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9)/d**(2/5)*d**(-4/3)/(d/(d*d*d**(7/5)*d)))**(-1/24) assuming d is positive.
d**(11/36)
Simplify (o**(-26/7)/o**32*o*o**(-13/3)*((o*o**(1/3))/o)/o)**(5/3) assuming o is positive.
o**(-1390/21)
Simplify ((f/(f*f**(-1)/f))/f**(-1/3)*f**(2/11)*f/f**(4/7))/((f*f/(((f/f**(-4))/f)/f))/f**(-6)*f**3*f**(-3)) assuming f is positive.
f**(-475/231)
Simplify (((b*(b*b*b/b**(2/21))/b)/b)/b**(2/9))**(-1/23)*b**5/(b/((b*(b**(-1/4)*b*b)/b)/b)*b)*(b**(-2/5))**(-2/115) assuming b is positive.
b**(533783/144900)
Simplify (j*j**(3/7)*j**(2/7)*j**(2/3)/j**(-1/9))/((j**(-2/5)/j)**25)**(-33) assuming j is positive.
j**(-72608/63)
Simplify (v/(v/v**(-1/2))*v*v*v**(1/6)/v)/((v**(-6)/v)/v*v*v**6/v*v)*(v**(-4)*(v**(-2/15)*v)/v*v)/(v/((v*v**1)/v))**(1/16) assuming v is positive.
v**(-22/15)
Simplify (w**(-1)/w**(2/13))**(2/7)/((w**(-2/7))**(-32)/((w**(-4/7)*w*w)/w*w**(1/9)*w)) assuming w is positive.
w**(-6497/819)
Simplify t**5/t*t**(2/9)/t*(t**1)**1*(t**1*t**(-1/3))/(t**(1/2))**(5/9) assuming t is positive.
t**(83/18)
Simplify ((y**(1/4))**(1/20)/((y**5*y*y)/(y/(y**(-2/13)/y))))/((y/(y*((y*y**(-2/7))/y)/y*y))**(-2/11)*y/((y*y**(2/17)*y*y*y)/y)*y/y**4) assuming y is positive.
y**(457337/1361360)
Simplify ((((a*a**(-2/3))/a)/a)/a)**(-5/2)/((a/a**(-1/12))/a**(5/4))*(a**(-1/8)*a**6/a)/((a/(a/(a*a*(a**3*a)/a)*a))/((a**2/a)/a)) assuming a is positive.
a**(185/24)
Simplify ((u**(-2/5)/u**(5/12))**(4/7))**(-30) assuming u is positive.
u**14
Simplify ((i*i*(i*i**0)/i*i)**(-2/3)*(i*i**7/i)/i*i*i/((i/(i/(i/(i*i**(-14)*i))*i*i)*i)/i*i)*i)**(-1/25) assuming i is positive.
i**(1/5)
Simplify ((h/h**0)**(-36))**43*(h**(4/7)/(h**(-6)*h))**3 assuming h is positive.
h**(-10719/7)
Simplify ((x/(x**(-14)/x))/(x/x**(2/5))*(x**(-10))**(-4/13))**(8/13) assuming x is positive.
x**(9608/845)
Simplify (n/n**(-7))/(n/((n*n**44/n)/n))*n**20*(n/(n/((n*n*n**(2/127)*n)/n)))/n assuming n is positive.
n**(9019/127)
Simplify ((p**0)**(-10/3)/(p/p**(-1/4))**(-9))/(p**(-8)/((p*p**(-5)/p)/p))**(-2/39) assuming p is positive.
p**(1739/156)
Simplify ((k**(2/27)*k)/k)/((k*k**(-1/4)/k*k)/k)*k**(23/2)/k**(2/89) assuming k is positive.
k**(113437/9612)
Simplify ((x**27*x)**(-2/45)*x**(1/58)/x**25)**(3/40) assuming x is positive.
x**(-68453/34800)
Simplify ((b*b*(b**(-9/5)/b)/b)/b**(-30))/(b/(b/b**(-29))*b*b/b**(5/6)) assuming b is positive.
b**(1681/30)
Simplify (((q*q/q**(-37)*q*q*q*q**(-1)*q)**(-11))**(27/7))**(-1/25) assuming q is positive.
q**(1782/25)
Simplify (((d*d**(1/6)*d)/(d*d**(-2)))/((d**(-2/5)/d)/d**(-6)))/((d**(-1/4))**(-2/43)/(d/(d*(d*d**0*d)/d))**(-4/9)) assuming d is positive.
d**(-1936/1935)
Simplify (j/j**(2/7)*j**(-1/11)*(j**1/j)**18)/(j**2/(j**1*j))**(2/13) assuming j is positive.
j**(48/77)
Simplify ((g**(-3/7)/((g/g**(-3/2)*g)/g))/(g/(g**(1/4)/g))**41)/(g**(-1/4)*g*g*(g/g**(-2))/g*g*g*g**(3/5)/(g*g**8)) assuming g is positive.
g**(-2521/35)
Simplify ((r/(r/r**(-2))*r**(-1/4)*(r**(-3)*r)/(r**(-1/6)*r))**(-47))**(1/41) assuming r is positive.
r**(2867/492)
Simplify (((r**5/r)/r*r/(r/(r*r**4)))/(r**(-1))**46)/((r/(r*r**(2/3))*(r/(r/((r/(r*r**0))/r)))/r)/(r**(2/3)*r)**(-3/28)) assuming r is positive.
r**(4745/84)
Simplify (u/(u*u/(u/(u*u/(u/(u*(u*u**(-7))/u))))*u)*u**6*(u/(u**12*u))/(u*u**2))**(-1/45) assuming u is positive.
u**(1/9)
Simplify (k*k**(-3/4))/(k**(-4/37)/k)*(k/(((k*k**28)/k)/k))/(k**36/k) assuming k is positive.
k**(-8827/148)
Simplify (a*a/a**(-6)*a/(a/a**(-1/3)*a)*a**5/(a/a**(2/9)))/((a**0)**(-4/9)/(a**(-1))**(1/66)) assuming a is positive.
a**(2153/198)
Simplify q/(q*q**(-2/7))*q**(-6/7)*q/q**(-9)*q**3*(q*(q*(((q/(q**0*q))/q)/q)/q)/q)**(2/3)*(q/q**2)**(-10/7) assuming q is positive.
q**(263/21)
Simplify ((y/(y/((y**(-5/3)/y*y)/y*y)))**(-27)/(y*y*y*y/(y/y**(-13))*y**(-11)/y*y*y*y))**(-43) assuming y is positive.
y**(-2752)
Simplify ((w**(-3)*w/w**(-3)*w**6*w**(-1))**(1/4))**(2/51) assuming w is positive.
w**(1/17)
Simplify (((k/(k/(k*((k/((k*k/k**(-3))/k*k))/k)/k*k)))/k*k)/(k/(k*((k**31*k)/k)/k*k*k*k))*(k*k**19*k)/k**(-21/2))**(-29) assuming k is positive.
k**(-3509/2)
Simplify ((z**(-2)/z)**(2/85)*z**(-31)/z*z*z*z*z**(4/13))**(1/18) assuming z is positive.
z**(-31783/19890)
Simplify (((z*(z*z**(-6)*z)/z)/(z/(z*z**17)))/((z*z**(-2))/z)**(1/4))**(3/16) assuming z is positive.
z**(81/32)
Simplify (l**0)**(-21)/(l**(2/5))**36*((l**1)**(-32))**(12/13) assuming l is positive.
l**(-2856/65)
Simplify ((j**(-6))**(-2/11)/(j**2)**12)**(-15) assuming j is positive.
j**(3780/11)
Simplify (((s/(((s*s**(-8/7))/s)/s*s))/(s**(-2/35)/s))/(s/((s/(s*((s**(2/43)/s*s)/s)/s))/s)*s**(5/4)))**(-20/11) assuming s is positive.
s**(-1637/473)
Simplify ((s**(-2/9)*s)/s**(-5))**(-2/13)/((s**(-1/3)/s*s*s*s**(3/7)*s*s*s)/(s/s**(5/2)*s**(-1/5)*s)) assuming s is positive.
s**(-3581/630)
Simplify (x*x**(-2)*x**(-1/4))/(x*x**(2/3))**(33/5)*((x**(-1/2))**(4/13))**(-5) assuming x is positive.
x**(-597/52)
Simplify ((c/(c/(c**(2/9)/c)*c))**33)**(-10/9)*c**(-5)/(c**(1/6)/c)*(c/(c/c**(2/5)))**(-2) assuming c is positive.
c**(16259/270)
Simplify (a**27*a)**(1/40)/(a**42*(a/(a/(a*a**(1/13)))*a)/a) assuming a is positive.
a**(-5509/130)
Simplify y**(-2/23)/y**(-3/2)*(y*y**(-9/10))**(-48) assuming y is positive.
y**(-779/230)
Simplify ((l/(l/(l**(-4)/l*l)))**3/((l**6*l)/l**6))**(9/10) assuming l is positive.
l**(-117/10)
Simplify (((f/(f*f**(-1/3)))/f)/f**4*f**(3/10)*f**(1/7))/(f*f**(-3/4)*f**(10/7))**(8/9) assuming f is positive.
f**(-3601/630)
Simplify (y**(-1)*(y**(2/7)/y)/y)**(2/19)*(y**(-1))**(-8)/(y**(1/2)*y**7*y) assuming y is positive.
y**(-11/14)
Simplify ((y*(y**(1/4)/y)/y)**(-10))**(9/8)/((y**(-1)/(y*y*y**(-3/5)))/(y**(-3/2)/(y/y**3))) assuming y is positive.
y**(907/80)
Simplify (((v/v**(-5)*v**(4/3))/((v*v**(-1/2))/v*v**(6/5)))**8)**(13/3) assuming v is positive.
v**(10348/45)
Simplify (k*k*k**(-2/11)*k*k*k*k**(1/4)/k)/(k*k**(4/3)*k*k**1*k)*(k**(1/2))**(-4/5)/(k/k**(1/5)*k/(k**6/k)) assuming k is positive.
k**(1013/660)
Simplify ((x/(x**1*x*x))**(-2/13))**(-17)/((x/x**1*x)**20/(x**(2/5)*x*x/(x/x**(-5/2)))) assuming x is positive.
x**(-3423/130)
Simplify ((x*x/(x/x**(1/2)))**18*(x**0)**(-48))/((x**(-2/3)*x/(x/x**(-6)*x))/((x*x**1)/((x*x**5)/x))) assuming x is positive.
x**(95/3)
Simplify (((w**(-10)*w**(3/8)*w)/(w**5*w)**(-5))**(-1/18))**(-25) assuming w is positive.
w**(475/16)
Simplify (((u/(u/u**1))/u)**35/((u/(u**(-5/4)*u))/(u*u/u**(2/5))))/(((u*u/u**(-2/3)*u)/u)**(3/23)*(u**0)**(-12)) assuming u is positive.
u**(1/460)
Simplify (((d**(2/7)*d)/d*d)**27/(d/d**3*d*d*(d**(2/3)*d)/d))/((d**(1/4)*d**(1/10))/(d/(d**1/d))**(-35)) assuming d is positive.
d**(-547/420)
Simplify (z*z/(z**6/z)*z/((z**(2/3)/z*z)/z)*z)**(-1/67)/(z/z**(1/2)*(z**(-1/5)*z)/z*z*(((z/z**(2/5)*z)/z)/z)**(8/13)) assuming z is positive.
z**(-27277/26130)
Simplify (a**(-13/3)*a*a**(2/17))**(-21)*((a/(a/(a*a**1)))/a*a)**28*(a*a**(-4)/a)/a*a/(a*a**4) assuming a is positive.
a**(1947/17)
Simplify (((a*a**(-2/7))/a**0)/(a/(a*a**(1/11))*(a**(-6)/a)/a))/((a/(a*a/a**(-1)*a))**19/((a**(-1)*a)/a*a**(3/2))) assuming a is positive.
a**(10211/154)
Simplify ((o/(o*o*o/o**(2/5)))/(o**8/o)*o**(1/3)/(((o*o**5)/o)/o*o))/((o**(-3)/o*o)/(o**(-2/41)*o))**(-11/5) assuming o is positive.
o**(-2701/123)
Simplify (n**(-2/21)/n**(-2/7))**17*((n/(n/(n*n**(-2/7))))**(-9))**30 assuming n is positive.
n**(-3982/21)
Simplify (j/(j**(-10)*j)*j*((j/(j/j**(-1/29)))/j)/j*(j*j*j*j**25*j*j)/j**2)**(-40) assuming j is positive.
j**(-42880/29)
Simplify ((k**(-4)*k)/k*k**(-4/3))**(-19)*(k*k**(-1/2)*k)/k**(-4)*k**(2/17)*k*k*(k**(1/2)/k)/k assuming k is positive.
k**(5480/51)
Simplify ((o*o*o**(2/5)*o)/o**18*(o*o**(-6))/o**(9/2))**32 assuming o is positive.
o**(-3856/5)
Simplify (((s**(-23))**8)**36)**9 assuming s is positive.
s**(-59616)
Simplify t/(t/(t/t**0)*t)*(t*t**(-3/5)*t)/t*(t/(t*t*t*(t/t**(2/3))/t))**19*((t/(t**(-2)/t))/(t/(t/t**(-1/6))))**31 assuming t is positive.
t**(3127/30)
Simplify (q/(q*(q*(q*q**0)/q)/q))/q*q*q*q**(-3)*q*q**(-9)/q*q**(-8)*(q**(-6/5)/(q**(2/7)*q))/((q**6/q)/q**(-7)) assuming q is positive.
q**(-1172/35)
Simplify ((s**(-1)/s**(6/11)*(((s/s**(-2))/s)/s)**(-1/37))**(-2/127))**(-27) assuming s is positive.
s**(-34560/51689)
Simplify ((r/r**0*r*r/r**(-2/5))/(r**(-2/7))**43)/((r**1*r)**(-32)*(r**(-6)*r)/r**5) assuming r is positive.
r**(3139/35)
Simpli | {
"pile_set_name": "DM Mathematics"
} |
2*y - 54. What is the remainder when 2272 is divided by y?
4
Suppose -t + 4*a + 289 = 30, -5*a + 1015 = 4*t. Calculate the remainder when t is divided by 46.
25
Let u = 16800 - -4549. What is the remainder when u is divided by 68?
65
Suppose 0 = -5*u - 5*q - 15, 57 = 40*u - 35*u - 4*q. What is the remainder when 180 is divided by u?
0
What is the remainder when ((-2472)/(-60))/((-6)/(-30)) is divided by 10?
6
Let u = -131 + 121. Let v be 10*-3*(-2)/u. Calculate the remainder when 2/v + -3 + 777/9 is divided by 21.
20
Calculate the remainder when 4898/18 + 268/18 + -16 is divided by 32.
15
What is the remainder when (3 - 4)*(-2 + -69) is divided by 8/1 - ((-607)/(-2428) - 213/4)?
10
Suppose -2*g + 64 = -k, 5*k = -17*g + 16*g + 65. What is the remainder when 620 is divided by g?
25
Let g(u) = 17*u**2 + 3*u - 7. Suppose p = -5*v + 254, -p = 3*v - 266 + 112. Calculate the remainder when g(3) is divided by v.
5
Suppose 0 = -5*u - c + 60, -7*c = 3*u - 3*c - 36. Suppose -22 = -4*d - 2. Calculate the remainder when u is divided by d.
2
Let z = -20907 - -20910. Let c(h) = 2*h**2 - h + 1. What is the remainder when c(4) is divided by z?
2
Let u be 28 + (5 + -6)*-4. Suppose -u*w + 30*w - 8 = 0. Calculate the remainder when ((-268)/6)/(-2)*(-12)/w is divided by 23.
21
Suppose -4*n - 32 = -5*l, 5 + 5 = 2*n + 4*l. Calculate the remainder when 5/3 - (7 - 322/21) is divided by n - (1 - 10)/1.
4
Suppose 4*r + u = 24, -2*r - 2*u + 26 = 2*u. Let t be (2 - (-6)/(-9))*(-63)/(-14). Calculate the remainder when (1*t/15)/((-1)/(-35)) is divided by r.
4
Let d(r) = -37*r + 4. Let k be d(-2). Let z = k - 32. Calculate the remainder when 32 is divided by (-5)/(-2 + 12) - z/(-4).
10
Let m be -2 + 1 + -3 - -22. Let t(h) = h**3 - 18*h**2 - h + 13. Let s be t(m). Calculate the remainder when 2/s - 66/(-15) is divided by 2.
0
Suppose 0 = -10*s + 21039 + 30381. Suppose -13*f + s = -7*f. What is the remainder when f is divided by 66?
65
Let n = 2447 + -2214. What is the remainder when 726 is divided by n?
27
Let t(h) = 10*h - 13. Let o(u) = -u**3 + 5*u**2 + 3*u - 6. Suppose 14*p - 25 = 9*p. Let g be o(p). What is the remainder when t(g) is divided by 20?
17
Let b(u) be the second derivative of -7*u**3/3 + 103*u**2/2 + 36*u. Calculate the remainder when 84 is divided by b(3).
23
Suppose q = -2*w + 5368 - 767, -w + 4*q = -2341. Calculate the remainder when 6917 is divided by w.
2
Suppose -2*q - 8012 = -4*o, -5*q + 2463 = o + 449. What is the remainder when 6017 is divided by o?
5
Suppose 3*g = -11*g. Suppose g = 20*l + 2*l - 440. Calculate the remainder when 339 is divided by l.
19
Let u = 591 + 540. Suppose 5*m - w - 277 = 845, 5*m + 2*w = u. Calculate the remainder when m is divided by 47.
37
What is the remainder when 493/5 - (-6)/(-10) is divided by (6 - -28)*(11 + -10)?
30
Suppose -92 = 53*b - 54*b. Suppose -b*v + 97*v = 340. Calculate the remainder when 141 is divided by v.
5
Suppose 3*s - 4*r + 0*r = 141, 5*r - 94 = -2*s. What is the remainder when (26 - 38)/(-108) - 5002/(-18) is divided by s?
43
Suppose -6*b + 3*b = 3*f - 24, -4*b = 0. Suppose -f*n + 657 = 1. What is the remainder when n is divided by 22?
16
Calculate the remainder when (122/244)/(2/3356*1) is divided by 42.
41
What is the remainder when 308 is divided by ((-6)/(-4))/((-12)/(-1128))?
26
Let g(q) = -2*q**2 + 23*q + 6. Let m be -3*5/30*-4. Suppose -2*s = -5*v + 41, m*v + 4*s = -s + 28. What is the remainder when g(9) is divided by v?
6
Suppose -79*n + 28*n + 153 = 0. Suppose n*p - 622 = -307. Calculate the remainder when p is divided by 6.
3
Let m = 144 + -143. Calculate the remainder when 12 is divided by (-28*m*4/8)/(-2).
5
Suppose -1656 = -18*k + 3510. Let u(l) = 11*l + 6. Calculate the remainder when k is divided by u(6).
71
Suppose 126 = 10*u + 16. Suppose 446 = 5*b - 4*a - 200, -2*b + 255 = -5*a. Calculate the remainder when b is divided by u.
9
Let j(r) = r**2 - 805*r - 4842. What is the remainder when 7487 is divided by j(-6)?
23
Suppose -17*t = -76*t + 5664. Calculate the remainder when t is divided by 60.
36
Suppose 284 = -3*q + 7*q. What is the remainder when q is divided by 53/5 + (-2144)/1340?
8
Let p = 698 - 676. What is the remainder when 2924 is divided by p?
20
Let s = 64 + -54. Suppose 13*z + 2*y = s*z + 39, -13 = -z - 5*y. Calculate the remainder when 25 is divided by z.
12
Suppose 5*w - 31 = 3*t, 12 + 7 = 5*w + 3*t. Suppose -w*z + 38 = 13. Suppose 5*c - r - 316 = 74, -r + 390 = z*c. Calculate the remainder when c is divided by 42.
36
Suppose -4070*q = -4084*q + 10248. Calculate the remainder when q is divided by 201.
129
Let h(z) = -8*z**2 + 139*z - 36. Calculate the remainder when h(16) is divided by 14.
0
Let x = -40 - -40. Let b be x + -1 + (3 - 4). Let v(h) = -6*h. Calculate the remainder when 46 is divided by v(b).
10
Let z(p) = 63*p**2 - 816*p - 25. Calculate the remainder when 4983 is divided by z(13).
13
Suppose -4*m - 551 = x - 3751, -6364 = -2*x + m. Calculate the remainder when x is divided by 18.
16
Let t be 9 - (9/(-3) + (7 - 0)). Suppose 4*y = 5*p + 67, 5*p = 3*y - t*y + 71. Let o = -16 - -22. What is the remainder when y is divided by o?
5
Calculate the remainder when 310 is divided by 42*(245/30 - 6).
37
Let z = 26 - 36. Let a(j) = 3*j + 43. What is the remainder when 77 is divided by a(z)?
12
Suppose 15*v = 11*v + 8. Suppose u = 3*t + 78, -t - 57 = -v*u + 99. Calculate the remainder when 150 is divided by u.
72
Let k = 12452 + -12205. What is the remainder when 821 is divided by k?
80
Suppose 4*i = 3*f + 1439, 5*f + 1232 = 4*i - 201. Calculate the remainder when i is divided by 8.
2
Let q(v) = 4*v + 43. Let l be q(-15). Let s(z) = -z**2 - 25*z - 76. What is the remainder when 297 is divided by s(l)?
57
Suppose -5*k - 4*a = -223, 49*k - 46*k + 3*a - 135 = 0. What is the remainder when 3781 is divided by k?
40
Let n = -27050 + 27718. Calculate the remainder when 2011 is divided by n.
7
Suppose 12*m - 221 = -1481. Let a = m - -168. What is the remainder when 377 is divided by a?
62
Let w = -184 + 2461. Suppose 765 = 9*d - w. Let n = -231 + d. What is the remainder when n is divided by 9?
8
Suppose 5*j - 160 = j. What is the remainder when j is divided by 3/(((-70)/(-252))/(35/21))?
4
Suppose -5*l + 2899 = -2*f, -5*l + 2*l = 3*f - 1731. Suppose 5*c - l = 631. Calculate the remainder when c is divided by 49.
46
Let w = -90 + 96. Suppose -w = -4*p + 2*p. Suppose -p*u + 2*u = -42. What is the remainder when u is divided by 15?
12
Let b(u) = u**2 - 11*u + 9. Let h be b(10). Let v(l) = -7*l**2 - l - 2. Let r be v(h). Let p(y) = -8*y + 13. What is the remainder when p(r) is divided by 4?
1
Suppose 39 = z + w - 81, -3*w = -2*z + 210. Calculate the remainder when 317 is divided by z.
89
Suppose 7*k + 5 = 2*k, 0 = 4*g + 4*k - 20. Suppose -8*d = g*d - 4*d. Suppose -49*i + 48*i + 28 = d. Calculate the remainder when 137 is divided by i.
25
Suppose -q - 1 + 4 = 0. Suppose 8*g - 29 = q. Suppose g*t - 16 = 40. Calculate the remainder when t is divided by 9.
5
Let d(q) = -q**3 - 4*q**2 - 2*q - 5. Let f be d(-7). Suppose -8*x = -10*x + f. Suppose -x = 3*b - 6*b. What is the remainder when b is divided by 15?
11
Let b = 111 + -108. Suppose b*o - 4*j - 149 = 0, 4*j - 4 = -0. What is the remainder when o is divided by 8?
3
Suppose 0 = -8*o - 59*v + 62*v + 3353, 4*o - 5*v = 1687. Calculate the remainder when 2926 is divided by o.
0
Let w(v) = 4*v**2 - 47*v - 11. Let g be w(12). Let d be (-8 - (3 - 6))*-1. What is the remainder when 30 is divided by d + g - 28/(-14)?
6
Let f(d) = -38*d - 92. Suppose -2*p - 44*t = -49*t + 6, 5*p = -t - 15. What is the remainder when 75 is divided by f(p)?
9
Suppose 3*q = 27*q - 689 - 631. Suppose 0 = 2*k - 4*k - 3*p + 435, 0 = 5*p - 5. What is the remainder when k is divided by q?
51
Let m(s) = 13*s**2 - 124*s + 1216. Calculate the remainder when m(9) is divided by 35.
33
Suppose -6*f = -7*f - 5. Let t be f/(-2) - -2*2/(-8). What is the remainder when 4*t/(32/236) is divided by 10?
9
Let q(g) = -10*g**2 + 414*g - 19. What is the remainder when 166 is divided by q(41)?
21
Let n be (-30144)/432 + 2/(-9). What is the remainder when 131 is divided by 304/14 - 20/n?
21
Let f be (5600/(-98))/(-10) + 2/7. Suppose -1012 + 1654 = f*g. Calculate the remainder when g | {
"pile_set_name": "DM Mathematics"
} |
of 32760 and 28924560?
376019280
What is the common denominator of 46/207123 and -10/10551?
728451591
What is the lowest common multiple of 3467325 and 100?
13869300
What is the least common multiple of 7784 and 226870?
126139720
What is the least common multiple of 462088 and 26789?
139088488
What is the smallest common multiple of 144427290 and 2?
144427290
Calculate the smallest common multiple of 14255640 and 1781955.
14255640
What is the common denominator of 161/363840 and 113/45480?
363840
Find the common denominator of 9/16363280 and 77/40.
16363280
Calculate the common denominator of -89/4345588 and -73/668552.
8691176
Calculate the lowest common multiple of 22 and 24526542.
269791962
Calculate the common denominator of -83/484 and 9/29374.
7108508
Calculate the common denominator of 101/1182000 and 67/18000.
3546000
Find the common denominator of 77/20 and 103/33256512.
166282560
Calculate the common denominator of -19/71573105 and -44/42943863.
214719315
Calculate the least common multiple of 32144 and 71050.
23304400
Calculate the common denominator of -161/632190 and -133/1167120.
15172560
What is the least common multiple of 51113612 and 20?
255568060
What is the lowest common multiple of 16018110 and 88099605?
176199210
Calculate the common denominator of -71/5684800 and -1/7603420.
608273600
Calculate the lowest common multiple of 8224848 and 11568.
8224848
Find the common denominator of -191/24780 and 9/13050800.
39152400
What is the lowest common multiple of 1246670 and 42260?
2493340
What is the common denominator of 43/2025900 and 44/19590453?
1959045300
What is the common denominator of -13/220374 and 29/81620?
2203740
What is the lowest common multiple of 1200 and 106440?
1064400
What is the lowest common multiple of 3192 and 88956?
3380328
What is the least common multiple of 288 and 2471088?
14826528
What is the smallest common multiple of 315 and 1935575?
121941225
What is the least common multiple of 16298948 and 12?
48896844
What is the least common multiple of 1179 and 29754816?
89264448
Find the common denominator of -34/487899 and 50/9948897.
228824631
What is the least common multiple of 1133445 and 1455?
1133445
Find the common denominator of -10/11898337 and 65/71390022.
71390022
What is the least common multiple of 337518 and 11460?
644659380
Calculate the common denominator of 40/98039 and -67/29529.
170293743
Calculate the lowest common multiple of 2916 and 454842.
24561468
Find the common denominator of -73/45100 and -11/198050.
178641100
What is the least common multiple of 18 and 436770?
436770
Find the common denominator of -51/477677434 and -127/78.
1433032302
Calculate the lowest common multiple of 183311849 and 985.
916559245
Calculate the smallest common multiple of 22 and 3141820.
3141820
What is the common denominator of 31/12659668 and 1/11?
139256348
Calculate the common denominator of -45/584 and 51/103154.
30120968
What is the lowest common multiple of 627696 and 11494683?
183914928
What is the common denominator of -161/120 and -113/680088?
3400440
Calculate the smallest common multiple of 76740 and 74572095.
298288380
Calculate the smallest common multiple of 656 and 8921846.
71374768
Calculate the common denominator of -19/2634220 and -51/40.
5268440
What is the common denominator of -37/12452656 and -145/168786?
112073904
What is the common denominator of 48/36878345 and -27/175?
184391725
Calculate the common denominator of -61/51516 and -145/6318.
669708
Calculate the common denominator of 109/11167188 and 19/1860.
1730914140
Find the common denominator of -71/581134 and 111/20.
5811340
What is the least common multiple of 14 and 85079603?
170159206
Calculate the common denominator of 91/4614126 and 31/46.
106124898
What is the least common multiple of 399853 and 1999265?
1999265
Calculate the common denominator of 1/1807290 and 13/2048262.
30723930
Calculate the common denominator of -47/1118168 and -151/32568.
3354504
What is the common denominator of -131/49464 and -45/58624?
1582848
What is the common denominator of -53/26 and 101/3865678?
50253814
What is the lowest common multiple of 224 and 20517392?
41034784
Find the common denominator of -92/105 and 34/69486825.
486407775
Calculate the common denominator of -99/94658 and 62/265.
473290
What is the common denominator of 20/11 and -33/525955?
5785505
Find the common denominator of 139/360 and -127/9192060.
18384120
What is the least common multiple of 106228200 and 77900680?
1168510200
Calculate the smallest common multiple of 10494480 and 5256.
31483440
What is the lowest common multiple of 192 and 18342?
586944
Calculate the common denominator of 211/18529140 and 27/50.
92645700
Find the common denominator of 45/7616 and 93/1326080.
22543360
What is the least common multiple of 27002130 and 128950?
135010650
What is the common denominator of 99/12838 and 111/6213788?
814006228
What is the common denominator of 61/2576 and -103/2192820?
8771280
Calculate the common denominator of 93/10662230 and 117/1254380.
21324460
Find the common denominator of 107/3432 and -29/1511796.
3023592
Find the common denominator of -49/195 and 113/322140.
322140
Calculate the least common multiple of 3068805 and 15.
3068805
Calculate the smallest common multiple of 2858084 and 16.
11432336
Find the common denominator of 73/159556 and -7/115373.
162906676
What is the smallest common multiple of 4169541 and 158337?
12508623
Calculate the smallest common multiple of 115420 and 3781.
2192980
Calculate the lowest common multiple of 23870 and 21142.
739970
What is the common denominator of 79/35214 and -55/281712?
281712
Calculate the lowest common multiple of 48926229 and 13343517.
146778687
What is the common denominator of -61/168600 and 67/350?
1180200
What is the least common multiple of 390 and 167364028?
2510460420
Find the common denominator of 17/18979510 and -58/5.
18979510
What is the common denominator of -93/92338 and 11/46?
2123774
Calculate the lowest common multiple of 13440 and 23264640.
23264640
Find the common denominator of 47/37135392 and -31/70.
185676960
What is the common denominator of -4/14847 and 113/23716?
7185948
Calculate the smallest common multiple of 4954187 and 25813.
1540752157
What is the least common multiple of 161507510 and 8575620?
969045060
Calculate the least common multiple of 6 and 3887013.
7774026
Calculate the common denominator of -83/17435930 and -31/34871860.
34871860
Find the common denominator of -143/2109156 and 38/1211.
364883988
What is the lowest common multiple of 648172 and 38612532?
270287724
What is the common denominator of 38/267838035 and 61/89279345?
267838035
What is the least common multiple of 4470921 and 253071?
13412763
Calculate the common denominator of -89/12331900 and -157/54753636.
1368840900
Calculate the lowest common multiple of 351150040 and 656180.
2458050280
What is the common denominator of 36/31031 and -73/37345?
15050035
Calculate the common denominator of -83/144569680 and -61/80.
144569680
Find the common denominator of -89/38 and 107/3822892.
72634948
What is the smallest common multiple of 9841608 and 13608?
88574472
Calculate the least common multiple of 1071026 and 117480.
64261560
What is the lowest common multiple of 116018 and 555229?
7773206
What is the common denominator of -109/587304 and 151/432?
1174608
Find the common denominator of 99/416 and 47/255808.
3325504
Calculate the common denominator of 127/82673370 and 97/220462320.
661386960
Find the common denominator of -61/27264 and -83/5333946.
341372544
Find the common denominator of -179/5091300 and -67/220.
56004300
Calculate the common denominator of -43/35 and -53/24138140.
168966980
Find the common denominator of -61/27 and -91/79433736.
714903624
Calculate the smallest common multiple of 280 and 505792.
2528960
Find the common denominator of -41/54600 and -1/111720.
7261800
Calculate the lowest common multiple of 62480474 and 29596014.
562324266
What is the common denominator of 41/14877 and 49/7619?
5965677
Calculate the common denominator of -151/10296 and -95/312936.
10326888
Calculate the least common multiple of 4001064 and 6001596.
12003192
What is the common denominator of 115/516 and 23/99721 | {
"pile_set_name": "DM Mathematics"
} |
pose -x = -u - 4. Calculate the lowest common multiple of u and 4.
28
Let h = 7 - 7. Suppose -25 = -s + 3*k, h*k + k + 83 = 5*s. What is the least common multiple of 8 and s?
16
Suppose -3*a + 0 + 9 = 0. Calculate the lowest common multiple of 7 and a.
21
Let o = 32653/20 + -1636. Find the common denominator of 1/2 and o.
20
Find the common denominator of -53/86 and (-24)/(-10) + (-3 - (-8)/8).
430
Let h = 73/188 + 9831/4700. What is the common denominator of h and -87/10?
50
Suppose 0 = -5*r - 3*t + 81, -r - 2*t + 30 = -6*t. What is the smallest common multiple of 6 and r?
18
Let l = -67/168 + 5/14. Find the common denominator of 103/22 and l.
264
Let b = 20297/54 + -2245/6. Find the common denominator of b and 43/24.
216
Let p = 19/958 - -68041/22992. Calculate the common denominator of 133/18 and p.
144
Let b = 12 + -6. Let z = -22 - -29. What is the lowest common multiple of z and b?
42
Let a = -4084/375 - 13/500. Calculate the common denominator of a and (2/(-1 - 71))/(10/(-220)).
36
Let j = 197/147 - 124799/93051. Let s = -10162/32283 - j. Let y = s - 1555/408. Calculate the common denominator of y and -51/5.
40
Calculate the common denominator of 49/(-20) + (-5 - 138/(-30)) and -39/4.
20
Let s be (618/15)/((-4)/(-20)). What is the common denominator of (1/4)/((-5)/91) and s/(-4)*2/(-14)?
140
Let s = -7 - -11. What is the lowest common multiple of s and 20?
20
Let y = 2 + 6. What is the smallest common multiple of (-1)/(-4) - (-9)/12 and y?
8
Let f = 18297/11 - 1662. Let q = -46408185025849/24576139260585 + -14/3725350805. Let g = -2/3665 + q. What is the common denominator of f and g?
99
Let c be ((-710)/108)/(-5) - 1. Let u = c + 1937/108. Let g = 18361/4950 + -27/275. What is the common denominator of u and g?
36
Find the common denominator of 113/24 and (-193)/28 - (2 + -8).
168
What is the least common multiple of (-124)/(-12) - 2/6 and 11?
110
Suppose -10 = 2*m + 5*k, -2*k = -m - 4*k - 4. Suppose c + m*c = 18. Calculate the least common multiple of 20 and c.
180
Suppose 0 = w - 4*u - 108, -18 + 146 = w + u. Let z = 323011/20 + -16146. What is the common denominator of ((-6)/8)/(42/w) and z?
140
Let l = -83/50 - -179/50. Let j = l - -2033/100. Find the common denominator of -93/10 and j.
20
Suppose -70 + 5 = -5*y. Let p(g) = g + 3. Calculate the least common multiple of (18/(-7))/(2/(-14)) and p(y).
144
Let h(p) = 10*p**2 + 2*p + 1. Let z be h(-2). Suppose -55 - z = 4*o. Calculate the common denominator of o and -37/2.
2
Let r = 1061224/9399 - -122/723. Let o = r - 10732/91. Calculate the common denominator of o and 6.
7
Let k = -1016/3 - -1090/3. Let t(w) = -w**2 + 9*w - 8. Let l be t(6). What is the common denominator of (l/11)/(-2 + 1) and k?
33
Let s be -1 + 1 + 1 + 7. Let i be (74 + 0)*2/1. What is the least common multiple of 8 and 6/4 + i/s?
40
Let y be (-1)/(-1436)*92766/12. Let o = y - 3/359. What is the common denominator of o and 65/(-50) + 1 + 2?
40
Let a = 87 - 62. Let v = 36 - a. What is the least common multiple of 2 and v?
22
Let a be -25 + 1 - (2 + -2). Calculate the common denominator of (9/(-8))/(6/(-56)) and (-273)/a - (3 - 1).
8
Suppose -180 = -4*v - 5*q + 3*q, 2*v + 4*q = 96. What is the common denominator of 23/2 and v?
2
Let a be 2 + -2 - (-8)/660. Let w = 137/2310 + a. Find the common denominator of w and 91/20.
140
Let p = -4882 + 68401/14. What is the common denominator of -115/12 and p?
84
Let y(q) = q**2 - 6*q + 2. Let f be y(6). What is the smallest common multiple of 8/6*15/2 and 5/((f + -1)*1)?
10
Let t = -21 + 25. What is the least common multiple of t and 22?
44
Let l = 1643 - 8182/5. What is the common denominator of 55/7 and l?
35
Suppose -2*x + 26 = -10. Let c = -18 + 32. What is the least common multiple of c and x?
126
Suppose 0 = z + n + n - 22, 0 = -2*n. Let l = -42 - -72. Calculate the lowest common multiple of z and l/7 - (-6)/(-21).
44
Let h(y) = -y + 2. Suppose -w = -4*p - 23, 2*p - 6*w + 22 = -2*w. Calculate the smallest common multiple of 9 and h(p).
63
Let f be (0 + 2/(-4))*-2. Let l(w) = w**2 + 2*w**2 - w**2. What is the least common multiple of l(f) and 6?
6
What is the common denominator of 89/48 and 4*3/72*(-513)/30?
240
Let d = 6013/3 - 96421/48. Let k(n) = -2*n - 2. Let g be k(2). Calculate the common denominator of ((-59)/10)/(g/(-15)) and d.
16
Suppose -5*a + 13 = -7. What is the lowest common multiple of a and 10?
20
Let t = -7/111 - 2629/555. Let o = -239/55 - t. Find the common denominator of o and 3 - (134/8 + 1).
44
Suppose -2 = -4*o + 238. What is the common denominator of -85/12 and ((-3)/o)/(3/222)?
60
Let d = 96740 + -26700097/276. What is the common denominator of -89/18 and d?
828
Let k = 3/61 - 1183/488. Let b = -1/39090 + -90907/11844270. Let h = b + -30589/1818. Find the common denominator of k and h.
24
Let z(y) = -261*y + 2. Let q be z(-8). Let p = -16787/8 + q. What is the common denominator of 1/2 - (-108)/(-32) and p?
8
Let i be (48/(-72))/(4/(-18)). Suppose -2*y + 2 = -y. Suppose 2*b + y*b + u = 41, i = -u. Calculate the lowest common multiple of 2 and b.
22
What is the common denominator of -50/3 and ((-9)/15 - -1) + 226/(-40)?
12
Let l be (-6)/((-10)/(-4) + -1). Let s(m) be the second derivative of m**4/6 + 2*m**3/3 - 5*m**2/2 + m. Calculate the smallest common multiple of 2 and s(l).
22
Suppose -60 = -0*o - 3*o. Let w(r) = 2*r - 10. Suppose 4 = -4*g + 32. Calculate the lowest common multiple of w(g) and o.
20
Suppose s = -5*z - 441, 8*z + 444 = 3*z - 4*s. What is the common denominator of (-30)/(-25)*(-190)/z and 53/20?
220
Let y = -7 - -23. Let l be (-11)/(3/(-3)) - 2. Suppose l + 3 = 2*x. Calculate the lowest common multiple of y and x.
48
Find the common denominator of 25/4 and (-4719)/910 - 3/5.
28
Suppose -5*o = -5*a - 5, 2*o + 5*a - 17 = 4*a. Let j(u) = u**2 - 4*u - 5. What is the least common multiple of o and j(6)?
42
Let r be ((-2)/188)/(39/12). Let w = 70765731 + -389140757806/5499. Let h = w + r. Calculate the common denominator of -65/9 and h.
9
Let n = 28 - 48. Calculate the lowest common multiple of 1 and (8/n)/((-3)/15).
2
Let r = -158 - -202. What is the lowest common multiple of r and 24?
264
What is the lowest common multiple of (16/10)/((-2)/(-25)) and 16?
80
Let s = -9 - -6. What is the common denominator of (-53)/(-6) - s/3 and -7/9?
18
Suppose 12 + 3 = 5*u. Calculate the smallest common multiple of u and 1.
3
Let w be (66/(-5))/((-2)/5). Let o = w + -23. What is the smallest common multiple of o and 10?
10
Find the common denominator of (-36)/(-192)*124/(-30) and -3/7.
280
Suppose 6*j = 4*u + j - 300, -3*u = -2*j - 232. Calculate the common denominator of -29/6 and (u/11)/(-4) + 2.
66
Suppose -4*d + 9 = -3*d + o, 0 = -4*d + 5*o. What is the smallest common multiple of d and 6?
30
What is the common denominator of (-1)/(-52)*(17 + 2) and -91/12?
156
Let z = 6/191975 + -376961/5918781225. Let v = -103529/23400729 - z. Let i = v + 28609/4554. Calculate the common denominator of -19/18 and i.
18
Let k = -969492/65 - -275236109/18460. Let i = k + -1/284. Find the common denominator of i and -97/2.
10
Suppose 5*b - 1528 = -4*j, -5*b + 367 = -4*j + 5*j. Let x = 1531/4 - j. What is the common denominator of x and 62/3?
12
What is the common denominator of (-12)/(-80) - 1*-2 and 0 + (2 - 83/4)?
20
Let g(r) be the second derivative of r**4/12 - 3*r. Calculate the least common multiple of g(-4) and 14.
112
Let f = -2193/4 - -555. Calculate the common denominator of f and ((-2)/(-8))/((-1)/110).
4
Suppose -s - 255 = 4*s. Let m be (14/s)/((-9552)/(-195340)). Let x = 9/3383 + m. Calculate the common denominator of x and -49/10.
90
Let q be 22174/108*(-9)/33. Let g = -25952/9 + 8485/3. Let d = q - g. What is the common denominator of -9/8 and d?
88
Let d(i) = -i**2 + 4*i. Let j be d(4). Let n = 6 + j. Let l = -1 + 3. Calculate the lowest common multiple of l and n.
6
Let w = 92/423 - -42/47. Find the common denominator of w and 39/5.
45
Let s(x) = -21*x - 1. Suppose 2*y + 54 = 2*a, -2*a - 3*a + 132 = -2*y. Calculate the least common multiple of s(-1) and a.
260
Let w = 7 - -1. Calculate the smallest common multiple of 28*2*4/16 and w.
56
Let v(y) = -12*y**3 - y**2 + 1. Let b be v(-1). Let f = 20 - b. Calculate the smallest common multiple of 1 | {
"pile_set_name": "DM Mathematics"
} |
of 105 and 754909449?
21
What is the greatest common factor of 148069 and 42788?
563
What is the greatest common factor of 6566 and 5503246?
938
What is the greatest common divisor of 12536152 and 186?
62
What is the greatest common factor of 875098 and 154?
14
What is the highest common factor of 18 and 33901860?
6
What is the highest common factor of 176592440 and 2020?
2020
Calculate the greatest common factor of 1717052637 and 219.
219
Calculate the greatest common divisor of 33153 and 623844.
129
Calculate the greatest common divisor of 14066 and 1403354.
1082
Calculate the greatest common factor of 947 and 2400.
1
Calculate the highest common factor of 104829 and 127563.
1263
Calculate the greatest common divisor of 1618022 and 10.
2
Calculate the highest common divisor of 284264 and 1104.
8
Calculate the highest common factor of 45050 and 7240.
10
What is the greatest common factor of 11379796 and 41?
41
What is the highest common divisor of 3750 and 930870?
30
Calculate the highest common divisor of 32 and 21759016.
8
What is the highest common factor of 209018 and 2870?
82
Calculate the greatest common divisor of 2197 and 196001.
13
Calculate the greatest common factor of 2 and 12819079.
1
What is the highest common divisor of 10 and 3370345?
5
Calculate the greatest common factor of 3174 and 8250031.
23
Calculate the greatest common factor of 875381 and 40171.
289
What is the highest common factor of 28 and 510861876?
28
What is the greatest common factor of 1669666 and 2672?
334
What is the highest common divisor of 10 and 907315?
5
Calculate the greatest common divisor of 86410 and 269320.
10
What is the greatest common divisor of 53036932 and 3211?
169
What is the greatest common divisor of 4022376 and 24?
24
What is the highest common divisor of 70702611 and 14?
7
Calculate the highest common divisor of 21192858 and 8010.
1602
Calculate the greatest common factor of 1703166 and 786.
6
Calculate the highest common factor of 666705 and 1936995.
3945
Calculate the highest common divisor of 6142 and 13485686.
74
Calculate the highest common divisor of 167256 and 19512.
72
Calculate the highest common factor of 128 and 82552688.
16
Calculate the highest common factor of 52730408 and 1208.
1208
What is the greatest common divisor of 5907567 and 328?
41
Calculate the greatest common factor of 2539225 and 2575.
25
What is the greatest common factor of 112768213 and 2?
1
What is the greatest common divisor of 1736 and 29985060?
868
What is the highest common factor of 307216 and 11137424?
3376
Calculate the highest common factor of 1018531 and 12135.
809
What is the highest common divisor of 4671465 and 45?
15
Calculate the greatest common factor of 3730792 and 13546.
26
Calculate the highest common factor of 23016 and 415734720.
3288
What is the highest common factor of 106 and 5172641?
53
Calculate the greatest common factor of 105219 and 661191.
1299
What is the greatest common divisor of 5494 and 228805?
67
What is the greatest common factor of 17300 and 10460272?
692
What is the greatest common factor of 67408423 and 2410?
241
What is the highest common factor of 793145 and 24820?
365
Calculate the greatest common factor of 1273 and 516800.
19
What is the greatest common factor of 29688 and 140592?
24
What is the greatest common divisor of 4946697 and 1512?
189
Calculate the greatest common factor of 12445520 and 400.
80
Calculate the greatest common divisor of 1929918 and 2562.
366
What is the highest common divisor of 33148737 and 20709?
1593
What is the greatest common divisor of 38 and 944467656?
38
What is the highest common factor of 2857413 and 1677?
39
What is the greatest common divisor of 2673 and 1153521?
243
What is the highest common factor of 221295121 and 69?
23
Calculate the greatest common factor of 112055058 and 306.
306
Calculate the highest common factor of 245966 and 812.
14
What is the greatest common factor of 350 and 73198475?
175
What is the highest common factor of 10087 and 11994884?
1441
Calculate the greatest common divisor of 254 and 210543267.
127
Calculate the greatest common divisor of 25703565 and 21007.
3001
Calculate the highest common factor of 2548 and 10254916.
196
Calculate the greatest common factor of 225 and 86161815.
45
Calculate the highest common factor of 2098796 and 7774.
46
What is the highest common factor of 2260 and 1112033?
113
What is the greatest common divisor of 42 and 3488646?
42
Calculate the highest common divisor of 8970 and 16877640.
390
What is the highest common factor of 293746 and 1039526?
1522
What is the greatest common factor of 1176049 and 147?
49
What is the highest common divisor of 5 and 71957530?
5
Calculate the highest common divisor of 7155 and 4709421.
1431
Calculate the highest common divisor of 186 and 30027468.
186
Calculate the highest common factor of 7215972 and 876.
12
Calculate the highest common divisor of 72 and 249998664.
24
Calculate the greatest common factor of 1928051037 and 22.
11
What is the greatest common factor of 15 and 1226781?
3
Calculate the greatest common divisor of 2618 and 3891272.
154
Calculate the highest common divisor of 353693 and 7303.
67
What is the highest common factor of 286 and 6758422?
22
What is the highest common factor of 540 and 3519260?
20
What is the highest common factor of 45415 and 1286965?
155
Calculate the highest common divisor of 2564 and 89972683.
641
Calculate the highest common factor of 20 and 26078180.
20
Calculate the highest common divisor of 144511361 and 3041.
3041
Calculate the highest common divisor of 245 and 34854715.
35
What is the greatest common factor of 75 and 406792700?
25
Calculate the highest common factor of 3477925 and 4675.
275
What is the greatest common divisor of 110833 and 21034?
809
What is the highest common factor of 18650065 and 3410?
155
What is the greatest common divisor of 60 and 105644270?
10
What is the greatest common divisor of 2767952 and 48?
16
Calculate the highest common factor of 91160 and 104410.
530
Calculate the highest common divisor of 192 and 92208288.
96
Calculate the greatest common divisor of 16758 and 843144.
114
Calculate the highest common divisor of 98904 and 3192.
24
Calculate the highest common factor of 1104 and 299528.
8
What is the greatest common factor of 9181175 and 117395?
2215
Calculate the greatest common factor of 30 and 108280360.
10
Calculate the greatest common factor of 244026690 and 762.
762
What is the greatest common factor of 24158290 and 130?
130
Calculate the highest common factor of 2003848 and 352.
88
Calculate the greatest common factor of 73824 and 161856.
96
What is the greatest common divisor of 633 and 35237?
211
What is the highest common divisor of 1632 and 752770608?
816
What is the highest common divisor of 6223 and 1520521597?
6223
Calculate the highest common divisor of 382980 and 228540.
780
What is the greatest common factor of 19830 and 913502?
1322
What is the greatest common factor of 911160 and 10?
10
Calculate the highest common factor of 9094032 and 66096.
3888
What is the highest common divisor of 183 and 19182304?
61
Calculate the highest common factor of 337177289 and 3957.
1319
What is the highest common divisor of 21180 and 181920?
60
Calculate the greatest common divisor of 207204 and 15732.
12
What is the highest common factor of 107869 and 6456?
269
What is the highest common factor of 99734 and 30456?
94
What is the highest common divisor of 1008056 and 48692?
1316
What is the highest common factor of 14412 and 192?
12
Calculate the highest common factor of 58 and 7239879.
29
Calculate the greatest common divisor of 30200 and 29151305.
755
What is the highest common factor of 692 and 535026028?
692
Calculate the greatest common factor of 30450800 and 25555.
1345
Calculate the highest common factor of 3 and 38222922.
3
What is the greatest common divisor of 1031 and 23849092?
1031
Calculate the greatest common divisor of 1396794 and 68502.
294
What is the greatest common divisor of 4888 and 107042312?
4888
Calculate the greatest common divisor of 240 and 129789960.
120
What is the greatest common divisor of 3024 and 1423072?
112
Calculate the highest common factor of 698538299 and 47.
47
What | {
"pile_set_name": "DM Mathematics"
} |
?
15
Calculate (-5 - -6 - 7) + 0 + -3 + 22.
13
6 + (25 - 30 - 14)
-13
What is the value of 1 + (13 - 3) - 12?
-1
What is the value of -413 + 409 - (1 - -16)?
-21
What is 12 + 9 + -7 + -16 + -10?
-12
Evaluate -1 - -29 - (-37 + -34 + 64).
35
What is 9 + (-2 - (-14 - -8)) + -8?
5
Calculate (-89 - -94) + (2 + -3 - (9 - 6)).
1
Calculate (35 - -3) + (-22 - 3).
13
19 + (9 + 3 + -6 - 2)
23
What is 40 + -2 - 23 - 18?
-3
What is 0 - (-17 + -8 - -5)?
20
Evaluate 6 + -3 + (-10 - (-7 - 0)).
0
Calculate -5 + (-29 - (37 - 37 - (1 + 8))).
-25
Calculate 5 + (3 - 15) - -15 - -7.
15
What is -2 - (16 - 8) - -8?
-2
Evaluate (-9 - (-5 + 6)) + 26.
16
What is (39 - (-20 - -41)) + (2 - -1) + -8?
13
What is (-22 - (-7 - 15)) + -14?
-14
Evaluate (5 + 9 - (4 - -2)) + (0 - 1).
7
Evaluate -11 + (15 - 10 - -8) + 0 + -1.
1
What is 18 - (14 + 5 + -10)?
9
What is 1 + -24 - (-895 - -890)?
-18
Calculate -10 + 0 - (-37 + 8 - -33).
-14
0 - 4 - -2 - (23 + -17) - 4
-12
(-1 - 35) + (-177 - -183)
-30
Calculate (-30 - (-29 - 4)) + 0 + 11 + 0.
14
Evaluate 11 + (-11 + 0 - (58 + -67)).
9
57 + -63 + (1 - (2 - 8)) + 4
5
Evaluate -24 + 13 - (1 + -1 + (4 - 7)).
-8
Evaluate (1 - (13 - 26)) + -10 - 14.
-10
Calculate -13 + -23 + 62 - 49.
-23
Calculate 22 + (13 + -21 - (1 + -9)).
22
What is the value of 5 + 3 + 11 + -10?
9
What is 38 - (-17 - -39) - 29?
-13
What is the value of -9 - (-11 + -8 + 5)?
5
Evaluate -1 + -21 + 23 - 17.
-16
-2 + 1 - (-2 + 3 + -5)
3
What is -1 - (-171 + 167 - (0 - (18 - -2)))?
-17
What is (-24 - (-2 + 2)) + (-6 + 48 - 38)?
-20
Evaluate 31 + -34 - (-1 + 1) - 5.
-8
What is the value of 15 + 1 - (1 - (2 + 20) - -18)?
19
Evaluate 21 + -23 + 16 + -3.
11
What is (-2 - -4 - 14) + (-3 - -6)?
-9
What is the value of 35 - 26 - (-1 - -5 - -28) - 6?
-29
(21 - -1) + 6 + -13 - 6
9
What is (-2 - 2) + 10 + (2 - (19 + 12))?
-23
What is the value of (-6 - (9 + -10)) + 11 - 8?
-2
Calculate -30 - (0 + -3 - (398 + -386)).
-15
What is 5 + (-1 - -2) - (-113 - -123) - -19?
15
Calculate 1663 + -1620 + (5 - 3 - 22).
23
Evaluate -4 + (4 + -10 + 0 - 5).
-15
16 - 8 - (13 + -29 + 5)
19
Evaluate 0 - 5 - (42 - 28 - 2).
-17
Calculate (15 - -6 - 7) + -4 - (2 + -10).
18
What is the value of 8 - (-6 - -10 - 3)?
7
Calculate 5 + -8 + 16 - (56 + -48).
5
(42 - (9 + 19)) + -34
-20
What is -10 + 1 + (-1 - (-37 + 0) - -7)?
34
What is the value of (-9 - -11) + -8 + 12 - 29?
-23
What is -4 + 21 - ((28 - 22) + -3)?
14
-1 - (-3 - -2) - (0 - 20 - -12)
8
-10 - (-7 + 14 + -8)
-9
Calculate 3 + -14 + 15 - -31.
35
What is (-13 + 5 - (-6 + -5)) + 6?
9
-8 + (10 - -12) + -3
11
What is the value of (-30 - -20) + -1 + -9?
-20
What is the value of 10 + -21 + (-13 - -1) - -5?
-18
Calculate (-27 - -18) + 15 - -6.
12
Calculate 4 - (-4 + (2 + -7 - -6)).
7
Evaluate (-3 - 23) + -4 + -21 + 15 + 17.
-19
Evaluate 11 + 0 + (-19 - -15).
7
Calculate 26 + (8 - (-16 - (-20 - 14))).
16
What is -45 - (-47 + (-37 - -50))?
-11
What is 226 + -244 + 50 + 1?
33
-1 - (-6 + (2 - -3))
0
Evaluate 9 - (0 - -20 - (17 - 14)).
-8
What is -1 + 7 + -11 - (-5 + (3 - 13))?
10
18 + (1 - -8) + -10 + -10
7
Calculate (-7 - ((-19 - 4) + 9)) + -19 + 1.
-11
Evaluate -15 - (6 + (-4 - 2) + (-12 - -6)).
-9
Evaluate (11 - (2 + 2)) + 4.
11
11 - 9 - (18 + (-3 - -1) - -4)
-18
What is -19 - ((-31 - 3) + 19)?
-4
(-11 - -12) + (-1 - 4 - 2)
-6
Calculate -27 + (-26 - -54 - 15).
-14
What is the value of 6 - ((1 - 11 - -14) + 1 + -8)?
9
Calculate -21 + 38 + -22 - 12.
-17
What is 6 + -3 + -21 + 6 + (-4 - 13)?
-29
What is 3 + -7 - -11 - 19?
-12
What is -24 + 17 + 13 + -7?
-1
Evaluate -5 - (1 - 16) - (1 - (-5 - 0)).
4
What is -11 + (34 - 8) + -16 + 1 + 5?
5
Calculate -7 + -16 + (47 - 12).
12
Calculate 9 - (0 - -3) - (1 + -14 - -9).
10
What is the value of 1 + -2 - (39 - (14 + 4))?
-22
Evaluate -24 + (3 - 0) - (-50 + 44).
-15
Evaluate (8 + -45 - -27) + 31.
21
(-10 + 9 - (7 + 6)) + 4
-10
(5 - (-29 - (-18 + 7))) + -3
20
What is the value of (-3 - 0) + 14 + 1 + 1?
13
What is the value of 3 - (-15 - -8) - (1 + -1)?
10
Evaluate -15 + -1 + 357 + -345.
-4
What is (-19 - -12) + 8 + (-5 - -10)?
6
Calculate 5 - (18 + -9 + 13).
-17
Evaluate -14 + 8 + 6 + -2 + -5 + 2.
-5
What is -16 + (22 - -6) + -8?
4
3 + 9 + -5 - (9 - 1)
-1
Evaluate -2 + (-96 - -108 - (-2 - -1)) + 5.
16
What is -10 + 1 - -3 - (-15 + 9) - -4?
4
Evaluate 9 - (2 + 0) - (-415 - -410).
12
Calculate -10 - ((2 - -2) + -16 + 12 + -5).
-5
What is the value of 5 + 9 + -12 + 2 + (1 - 14)?
-9
Evaluate -1 + (-3 - (1 + (11 - 4))).
-12
Calculate -4 - -2 - (270 + -262).
-10
Evaluate 6 + (2 - -1) + (12 - 18) + -21.
-18
Calculate 113 + -105 - (-1 - -2 - 20).
27
What is 1 - ((39 - 20) + -8 - (-3 + 1))?
-12
Calculate -19 + (14 - -5) - 16.
-16
Calculate 0 + 5 - (252 + -221) - 9.
-35
What is (-10 - 26 - 49) + 47?
-38
Evaluate 10 + -14 + (8 - 9).
-5
What is the value of (3 - -3) + -6 + -5 - (-17 + 7)?
5
Calculate 1 + -2 + (-91 - -92) - (0 + -1).
1
14 - (-14 + 13) - 20 - 19
-24
What is the value of -4 - ((6 + (-2 - 2) - -5) + -7)?
-4
Calculate -1 + (10 - 42) - (-18 - -15).
-30
What is 7 + (-5 - (2 - 0)) - -8?
8
What is the value of (-3 - (-1 + 35)) + 30?
-7
12 + 2 + -55 + 38
-3
Calculate 5 - (24 + -4) - (221 + -223).
-13
Evaluate -1 - (5 - (-26 + 29 + -1 + -8)).
-12
(10 - (-3 + 4)) + (6 - (-6 + 8))
13
-22 + 8 + 12 + 17
15
Calculate -21 + (4 + 6 - (1 - 3)).
-9
(-58 - 0) + 278 + -246
-26
What is the value of 3 - (-8 - -6) - (-2 - (3 - -2))?
12
Evaluate -1 + 0 - (19 - (-11 - -22)).
-9
Calculate (-3 - (-19 + -5 + 15)) + -19 + 10.
-3
What is -23 - (-2 - -16) - -22?
-15
What is -7 + (8 + -4 - (1 + 0) - -6)?
2
What is -45 - -55 - (-16 + 24)?
2
Calculate (37 - 18) + -9 + 0.
10
Calculate -2 + 13 - (-779 - -803).
-13
What is -17 - (-7 - (-4 - (-4 - -3)))?
-13
Calculate (0 - 0 - -6) + (-12 + 13 - 2).
5
Evaluate -4 - (4 - 4) - -5 - (-1 - 6).
8
What is the value of (-8 - (-15 - 2)) + -23?
-14
Evaluate 11 + 1 - (72 + -72 - 13).
25
Evaluate (-131 - -136 - (2 + 6 + -2)) + -19.
-20
What is (-135 - -124) + 13 + 1 + (-1 - 17)?
-15
What is 13 - (0 + 4 - (-7 - -4))?
6
Calculate (0 - -48) + -30 + 8.
26
-1 - -24 - (311 + -289)
1
-5 + -6 + (-2 - 11) + 24
0
10 - (57 - 13) - -26
-8
What is 30 + -15 - (-3 - -16)?
2
Calculate -82 + 118 + -39 + -34.
-37
43 + (38 - 42) + -36
3
Calculate 8 + (-3 - 7) + 2 - 2.
-2
What is -26 + (-28 - -9 - -63)?
18
What is -5 - (3 - (2 + 0))?
-6
Evaluate -8 - (-6 + (11 - 4) - -14).
-23
Calculate (-3 - 2) + (169 - 153).
11
4 + 7 + (-5 - (-1 + 0 + 8))
-1
Evaluate (-9 - (3 + -3) - -2) + -4.
-11
Calculate 30 + -20 - 17 - -10.
3
Calculate -10 + 2 + (4 - (-36 - 8)).
40
What is the value of (-1 - (-1 + 2)) + (-15 - (-20 - 15))?
18
Evaluate (-11 - 3 - -9) + 2 - 6.
-9
-1 + -10 - ((-12 - -16) + -10)
-5
What is the value of 225 + -212 + (0 - -8) - 12?
9
Evaluate (-5 - (-10 - -5)) + 10 + 1 + -2.
9
Calculate 13 + -30 + 14 - -5.
2
What is 2 + 27 + -3 + 0 + 6 + -5?
27
What is 7 - (18 + (8 - 23))?
4
Evaluate 2 + (-15 - -4) - 3.
-12
Evaluate -11 + -7 + (0 + 3 - -2) + -5.
-18
9 + (-11 - 7) + 18 + -5
4
Calculate -16 + 19 + -5 + -11 - 22.
-35
What is (7 + -13 - -1) + -1 + 8 + 12?
14
Evaluate (-25 - (-20 - -6)) + (5 - 1) + -5.
-12
What is 5 - 1 - (1 + (35 - 22))?
-10
Calculate 0 - -10 - (-12 - -28 - 9).
3
-6 + 5 + -2 + -6 - (4 + 1)
-14
-17 + (8 - (-14 + 8)) - 1
-4
Calculate -10 - (-3 - (28 + 9 + (0 - 1))).
29
What is the value of (7 - (13 - 1)) + 18?
13
Evaluate 10 - (2 - -15 - (-53 - -51)).
-9
What is the value of 16 - -16 - (1 - 13 - -15)?
29
Calculate (0 - 0) + 7 + (8 - 18) + 0.
-3
Calculate 8 + -7 + -3 + 1 - (-2 - -1).
0
What is -13 - (3 + 4 - (10 + 0))?
-10
-5 + (-26 - (-2 - 38))
9
Calculate -68 + (39 - -1) + 21.
-7
-31 - -5 - (-186 - -181)
-21
(-26 - 2) + -8 + (25 - 6)
-17
What is 27 + -2 + (-62 - -42)?
5
-9 + 38 + -2 - 49
-22
Calculate (4 - (0 + -2 + (5 - -2))) + -3.
-4
Calculate (-3 + 3 + 3 - -3) + -4 + 8.
10
Calculate -3 + 9 + (-2 + -3 - -8) + -4.
5
What is 1 + 6 + -1400 + 1376?
-17
What is the value of -4 + 8 - (-39 - -24)?
19
What is (947 - 988) + (19 - 0)?
-22
Calculate -3 + -18 - (-2 + -13 - -10).
-16
What is 21 + (10 + -19 + -6 - -9)?
15
Calculate (1 - ((2 - 7) + (47 - 24))) + 6.
-11
Calculate (8 - 3) + 3 + -7 - 1 - 8.
-8
Evaluate 11 - 2 - (-13 + 38 - 12) - 3.
-7
Evaluate (-8 - -1) + (12 - 2 - 2).
1
Calculate 10 + -1 + (-189 - -170).
-10
Evaluate (-13 + | {
"pile_set_name": "DM Mathematics"
} |
-46*x - 14. Let n = -72 - -58. Does 35 divide f(n)?
True
Let g(l) be the first derivative of l**4/4 + 13*l**3/3 + 9*l**2/2 + 67*l + 77. Does 15 divide g(-11)?
True
Does 15 divide 30/10*(-202155)/(-15)?
False
Let u = -103 - -91. Let m = u - -28. Is 2/(-4)*2 + m + 1 a multiple of 2?
True
Suppose 47*j - 104167 = 42*j + r, r + 7 = 0. Does 82 divide j?
False
Suppose 0 = -27*z + 166 + 77. Let m(a) = -a**3 + 19*a**2 - 3*a + 27. Is 23 a factor of m(z)?
False
Let r = -22 + 16. Let k be 0/(r/(-15)*5). Suppose k = -2*h + 4*d + 48, 8 = -d - d. Is 4 a factor of h?
True
Suppose 18*t - 9*t = 36. Suppose -2*q + 252 = 2*n, t*n - 3*q + 2*q - 494 = 0. Does 25 divide n?
False
Let w = -15194 - -16079. Is w a multiple of 5?
True
Suppose -632 = 7*n + 285. Let r = n - -355. Let f = -112 + r. Is 8 a factor of f?
True
Let m(a) = -12*a - 72. Let l be m(-5). Is 19 a factor of l/(-3) - (-303 - -22)?
True
Suppose -b - 35 = -x, x - 26 = -3*b + 29. Let h = -36 + x. Suppose -2*f - 2*p + 442 = 3*f, 0 = h*f + 2*p - 354. Does 13 divide f?
False
Let d be 0 - ((251 - -6) + -5). Is (-24)/((d/32)/(-7))*-12 a multiple of 51?
False
Is 45 a factor of 28/(-4) - 10/20*-23144?
True
Let r = -33111 + 49977. Does 43 divide r?
False
Let a be (5 + 70/(-15))*3267. Let p = 1754 - a. Does 13 divide p?
False
Let d = -63 + 67. Suppose -h + 1 = -5*f, -d*f + 5*h = -3*f + 5. Suppose f = 2*o - 0 - 488. Is o a multiple of 39?
False
Let p(f) = 43*f**2 - 2*f + 1. Suppose 28*w = 21*w + 7. Is 22 a factor of p(w)?
False
Let r be (-1)/((-10)/15 - 1/(-3)). Let m be (-2 - (-1)/2)/(r/(-8)). Suppose -5*p + 228 + 867 = m*d, 819 = 3*d + 3*p. Is 15 a factor of d?
True
Let j(p) = -3*p**2 - 6*p - 6. Let w be j(-3). Does 9 divide (222/(-5))/(w/50)?
False
Is 1*(611 - (-3)/(-1)) - 0/5 a multiple of 152?
True
Let s(a) = a**3 - 13*a**2 - 17*a + 14. Let p be s(15). Let g(v) = -v**3 + 2*v**3 - p - 2*v**2 + 4*v + 216. Does 11 divide g(4)?
True
Suppose 0 = 10*q - 17 - 6253. Suppose 39*a - 37*a = 5*f + q, a - 4*f = 306. Is 9 a factor of a?
False
Suppose -4*a - 5*q + 646 + 2352 = 0, 0 = 5*a + 4*q - 3734. Is 3 a factor of a?
False
Is 72 a factor of 4 + -4 + -1 - 10/(110/(-106931))?
True
Let w(g) = -3*g**2 + 20*g - 16. Let m be w(6). Is (26/(-5))/((-7)/490) + m a multiple of 12?
True
Let f(b) = 0 - 4 + 6 - 3. Let z(j) = 3*j**2 - 2*j - 1. Let c(l) = -f(l) + z(l). Does 8 divide c(2)?
True
Suppose 0 = l - 2*l + 2. Let d be ((-182)/(-10))/1 + l/(-10). Is (-996)/8*3/(d/(-4)) a multiple of 15?
False
Let k(b) be the third derivative of -b**4/4 - 17*b**3/6 - 4*b**2. Let i = -253 + 237. Is k(i) a multiple of 12?
False
Let y be (17/(-3))/((-33)/1881). Let q = y + 12. Does 42 divide q?
False
Let n(s) = -1036*s**3 - 16*s**2 + 1. Does 8 divide n(-1)?
False
Let i(m) = -8*m - 27. Let a be i(-4). Suppose 4*h + l = 206, -h - h + 94 = a*l. Is 21 a factor of h?
False
Does 135 divide (18792/(-406))/(8/(-420))?
True
Suppose 307 = m + 3*b + 85, 198 = m - 3*b. Is 30/m - (-4688)/14 a multiple of 29?
False
Let t(j) = 55*j**3 - j**2 - j. Let v be t(-1). Let w = v + 57. Suppose -w*y - 104 = -2*u + 20, 0 = 3*u + 4*y - 172. Does 9 divide u?
False
Suppose -5*q = -42*v + 40*v - 139144, 0 = 4*q + v - 111336. Is 61 a factor of q?
False
Let f(j) = -4*j**2 + 5*j - 9. Let c(y) = -5*y**2 + 4*y - 9. Let d(k) = 2*c(k) - 3*f(k). Suppose 0 = 891*z - 899*z + 48. Is d(z) a multiple of 11?
False
Let y = 26449 + -12868. Is y a multiple of 44?
False
Let r = 10976 + -7892. Does 13 divide r?
False
Let j(q) = 773*q + 7245. Is 124 a factor of j(11)?
True
Let b = -1445 + 69. Let n = -816 - b. Is 40 a factor of n?
True
Suppose 4*v - 73927 = 5*q, -5*v - 21*q + 23*q = -92379. Is 91 a factor of v?
True
Suppose 5*r + 3*j = 257 + 414, 0 = 2*j + 6. Let x = 263 - r. Is 6 a factor of x?
False
Let h be (-4)/4 - -1 - 0. Suppose h = -2*c - 2*z + 956, c - 5*z = 331 + 165. Is c a multiple of 36?
False
Suppose -r + 114 = -3*q, 3*q - 15 = -2*r + 186. Suppose 230 = r*k - 103*k. Is 8 a factor of k?
False
Let k be 35 - -381 - (0 - 7). Let g = -59 + k. Does 91 divide g?
True
Let k = 45 + -45. Suppose -2*x = 0, k = 5*t + 3*x - 740 + 185. Let w = -67 + t. Is w a multiple of 17?
False
Let p(m) = 20*m**2. Let f = -188 + 184. Does 9 divide p(f)?
False
Let u(x) = -2*x + 3. Let y be u(-5). Suppose -5*k + y*k = -8. Is 2/1 - k - -83 a multiple of 19?
False
Let f = -12 - -16. Let v(y) = f*y + 2*y - 11 + 64. Does 32 divide v(12)?
False
Let x = 139 + -54. Suppose 3*v + 3*q - 74 = -q, -q = -5*v + x. Is v a multiple of 18?
True
Suppose -126*r + 132*r - 24090 = 0. Suppose -17*j + r = -405. Is 26 a factor of j?
True
Let w(j) = 2*j + 9. Suppose -y - y - 30 = -p, 4*y = 0. Suppose -32*q = -p*q - 8. Is 17 a factor of w(q)?
True
Let x = 354 + -312. Suppose x*t - 196 = 38*t. Is t a multiple of 4?
False
Let l be (-2 - -14)/(-3) + -3. Is 251 - ((-108)/84 + (-2)/l) a multiple of 24?
False
Let i(l) = -l**3 - 5*l**2 + l - 89. Let s be i(-7). Does 10 divide (-3)/s*-73*8/12?
False
Let h(o) = 103*o**2 - 889*o - 8808. Does 45 divide h(-10)?
False
Let k be (-114)/(-76) + 3/(-2). Suppose -30*i + 11760 = -k*i. Is 7 a factor of i?
True
Let z(t) be the second derivative of -t**3 + 3*t**2 + 21*t. Let f be z(3). Let x(b) = b**2 + 3*b - 12. Does 24 divide x(f)?
True
Suppose 10 = 4*y - 14. Suppose y*b + 1445 = b. Let o = b - -408. Is o a multiple of 21?
False
Let y(f) = f + 3. Let k be y(4). Suppose -j + 1752 = k*j. Suppose j = -4*v + 839. Does 13 divide v?
False
Let x(z) = -z**2 - z + 1. Let n(r) = 2*r**2 + 10*r + 15. Let k(t) = -n(t) - x(t). Let d be k(-6). Suppose 2*v = 3*v - 5*m - 31, -m + 40 = d*v. Is v even?
False
Let k(y) = -y - 3. Let w(h) = h + 2. Let l(n) = 2*k(n) + 3*w(n). Let b be l(3). Suppose 0 = -r + s + 127, -r + b*s = -2*r + 139. Is 27 a factor of r?
False
Let l = -2296 - -2394. Is 4 a factor of l?
False
Suppose 5*v + 48 = 313. Is v - (5 - (-2 + 2)) a multiple of 4?
True
Suppose 17*c - 15*c = -8. Is 10 a factor of 1/(c/112)*10/(-4)?
True
Suppose 2*c = 8*c. Suppose 3*g = -2*x - c*g + 21, -5*x - 2*g = -47. Does 3 divide -19*(-3)/x*3?
False
Suppose 2382 = 233*p - 68*p - 588. Let r(t) = 4*t + 39 + 0*t - 5*t. Is r(p) even?
False
Let n(v) = -11*v + 634. Is 5 a factor of n(14)?
True
Let j(q) = -4*q + 32 + q - 7*q**2 + 27*q**2 - 5*q. Let i be j(-20). Does 14 divide ((-8)/9)/(-4) - i/(-72)?
False
Let g = 478 - 227. Let y = 467 - g. Is y a multiple of 27?
True
Suppose -5*t + 15 = 0, -18*t = 2*f - 20*t - 1402. Is f a multiple of 97?
False
Suppose -283*d - 22926 = -75281. Is 9 a factor of d?
False
Let l(o) = -2*o**3 - 6*o**2 - 3*o - 7. Let n be l(-3). Suppose 4 = -r, -t + 0*r = -n*r - 416. Is t a multiple of 68?
True
Let y(k) = k**3 + 15*k**2 + 20*k + 89. Let v be y(-14). Suppose v*f = g + 7 - 83, -f = 3*g - 244. Does 12 divide g?
False
Suppose -10326 = -33*b + 11901 + 2853. Does 20 divide b?
True
Suppose 2*u + 3*l + 15 = -3*u, l + 5 = -5*u. Suppose u*n = 7*n - 1393. Is n a multiple of 31?
False
Is -3*(751/9)/(2/(-96)) a multiple of 19?
False
Let c = -199 - -117. Let r = 85 + c. Suppose r*j - 5*g - 24 = j, 5*g = 0. Is 12 a factor of j?
True
Let l(d) = -d**2 + 2*d + 13. Let u be l(3). Suppose 0 = -u*w + 19*w - 1728. Does 8 divide w?
True
Let a be 4/3 + 8/(-6). Suppose 19*f + a*f - 950 = 0. Does 10 divide f?
True
Let a be (-819)/(-18) - (-2)/4. Suppose a = u + 3*b, -u - b - 188 = -4*u. Let l = 15 + u. Is 19 a factor of l?
True
Let u(z) = 3*z**2 + 18*z + 47. Let f(d) = 3*d**2 + 17*d + 48. Let y(k) = 4*f(k) - 5*u(k). Let j(w) be the first derivative of y(w). Does 9 divide j(-11)?
False
Suppose -34 + 25 = -3*a. Suppose a*l = -p + 363, -588 = -5*l - 2*p + 6*p. Is l a multiple of 30?
True
Let w(h) = h**2 + 5*h**2 + 48*h - 141 - 3*h**2 + 159. Is 13 a factor of w(-24)?
False
Suppose -8*t = -6*t - 40. Let v be (-5)/75*-27*t/6. Suppose -264 = -v*s + 4*s. Is s a multiple of 11?
True
Suppose 4*g - 18 = -2*a + 4*a, -3*g - a + 21 = 0. Is 22 a factor of (3 - g) + -79*(1 + -2)?
False
Let q = 13497 - 6497. Does 56 divide q?
True
Suppose -8*d + 13016 + 15936 = 0. Is 77 a factor of d?
True
Let y(d) = -d**2 + 6. Let z be y(0). Let t be 0/(-1*-2*3/6). Suppose t = 9*h - 201 - z. Does 23 divide h?
True
Let k = 134 + -146. Is 43554/252 + (-2)/k a multiple of 9?
False
Let j be 172/(-3)*3/2. Let t = -61 - j. Does 5 divide t?
True
Let u be 0 + -5 + (3 - -27 | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of c**3/6 + 3*c**2/2 - 2*c. Let g = -4339 + 4335. Let f(w) = 4. Suppose 4 - 1 = l. What is g*q(v) + l*f(v)?
-4*v
Let m(r) = 15*r + 1. Let n(z) = 97*z + 6. Give -5*m(g) + n(g).
22*g + 1
Let f(i) = -7*i - 3. Suppose 0 = 3*l + 2*r - 5*r - 129, 5 = r. Let m be 5/((-2)/((-96)/20)). Suppose 4*h + l = -m*h. Let v(s) = -20*s - 8. Give h*v(y) + 8*f(y).
4*y
Let g(q) = -3*q**2 - 5*q + 3. Let s = -15762 - -15764. Let z(f) be the first derivative of -2*f + 1 + 2/3*f**3 + 3/2*f**s. Give -3*g(w) - 5*z(w).
-w**2 + 1
Let y(h) = 13*h**2 - 130*h. Let r(m) = 10*m**2 - 131*m. Calculate 4*r(u) - 5*y(u).
-25*u**2 + 126*u
Let d be (-2)/4 - 1905/(-30). Let o(w) = 127 - 61 - 2*w - d. Let g(r) = -r. What is -g(m) + o(m)?
-m + 3
Let g(m) = -19*m**2 - 15*m + 6. Let q(d) = 7*d**2 + 5*d - 2. Let h(z) = -6*g(z) - 17*q(z). Let p(c) = c**2 + 1. What is h(i) + 2*p(i)?
-3*i**2 + 5*i
Let w(p) = -33*p**2 - 30*p + 335. Let a(u) = -14*u**2 - 13*u + 168. Determine -7*a(l) + 3*w(l).
-l**2 + l - 171
Let d(o) = 10*o**3 + 6*o - 22. Let m(g) = -28*g**3 - 17*g + 66. Calculate 17*d(p) + 6*m(p).
2*p**3 + 22
Let m(a) = 14*a + 4. Let k(j) = 7012*j - 3507*j - 3504*j. Suppose 60 = -6*l + l. Calculate l*k(x) + m(x).
2*x + 4
Let t(a) = -7. Let q(d) be the second derivative of d**4/12 + 4*d**2 - d + 249. What is -2*q(m) - 3*t(m)?
-2*m**2 + 5
Let n(z) = -13*z**2 + 3*z - 37. Let g(o) = -14*o**2 + o - 43. Let a(k) = -4*g(k) + 3*n(k). Let d(u) = -4*u**2 - u - 15. Calculate -2*a(s) - 9*d(s).
2*s**2 - s + 13
Let d(a) = 7*a**2 - 4*a**3 - 166*a + 85*a - 7*a**2 + 77*a - a**2. Let v(b) = -8*b**3 - 2*b**2 - 9*b. What is 5*d(l) - 2*v(l)?
-4*l**3 - l**2 - 2*l
Let y = 46566 - 46538. Let b(l) = 136*l**3 - 28*l**2 + 28*l - 28. Suppose 0 = -0*z + 2*z + 6. Let o(w) = 15*w**3 - 3*w**2 + 3*w - 3. What is y*o(g) + z*b(g)?
12*g**3
Let r(y) = -617*y + 146. Let a(q) = 536*q - 145. Determine -8*a(g) - 7*r(g).
31*g + 138
Let k(x) = 7*x - 2. Let w(y) = 119*y - 35. Let j(n) = -35*k(n) + 2*w(n). Let o(d) = -56*d - 54*d - 33*d - 11*d + 42*d. What is -49*j(f) + 3*o(f)?
7*f
Let n(m) = 7*m. Suppose 326*j + 802 = 256 - 758. Let i(c) = -8*c - 1. What is j*n(x) - 3*i(x)?
-4*x + 3
Let b(r) = 3*r**2 - 3*r**2 + 2 + 2*r**2. Let c = 85559 + -85553. Let f(x) = 2*x**2 + 3. Calculate c*b(o) - 4*f(o).
4*o**2
Let m(d) be the third derivative of d**6/120 + d**3/6 - 19*d**2. Let n(h) = -18*h + 3*h**3 - 3*h**3 + 5*h**3 - 4*h**3 + 21*h + 3. Calculate -3*m(w) + n(w).
-2*w**3 + 3*w
Let d(o) = 15*o + 7. Let m = 349 - 345. Let n = m + 2. Let v(y) = -14*y - 6. What is n*d(f) + 7*v(f)?
-8*f
Let t(b) = -33 + 94 - 33 - 28 - 12*b. Let g(i) = -i. What is -21*g(f) + 3*t(f)?
-15*f
Let i(z) = -z + 1. Let k be 12/15 + 4*(-36)/30. Let j(t) = 3*t + 1. Let a(p) = 28*p + 8. Let x(b) = -6*a(b) + 52*j(b). Calculate k*i(r) + x(r).
-8*r
Let n(q) = 890*q**2 + 14*q + 15. Let h(p) = -892*p**2 - 11*p - 13. What is -4*h(u) - 3*n(u)?
898*u**2 + 2*u + 7
Let w(k) = 157*k - 38. Let s(u) = -156*u + 31. Calculate -5*s(c) - 4*w(c).
152*c - 3
Let j(x) = -x**3 - 25. Let o(l) = 293*l**3 - 73. What is 3*j(a) - o(a)?
-296*a**3 - 2
Let y(s) = 499*s**3 + 3*s**2 - 7*s - 2. Let x(p) = 12*p**3 + p**2 - 2*p. What is 3*x(o) - y(o)?
-463*o**3 + o + 2
Suppose -4*p + 718 = 551*m - 553*m, 4*p - 708 = 4*m. Let c(r) = 104*r**2. Let h(t) = -t**2. Calculate p*h(b) + 2*c(b).
26*b**2
Let t(o) = o - 1. Let f(y) = 78*y - 91. Let i = -9244 - -9426. Calculate i*t(h) - 2*f(h).
26*h
Suppose -46 = -17*p + 5. Suppose -p*b + 77 = 86. Let j(s) = 5*s**3 - 2*s + 4. Let d(m) = 4*m**3 - 3*m + 3. Calculate b*j(w) + 4*d(w).
w**3 - 6*w
Let p be (6 + 4 + -20)*-6. Suppose -p + 24 = -12*q. Let w(i) = -i + 2. Let l(z) = -2*z + 3. Determine q*l(s) - 4*w(s).
-2*s + 1
Let s(p) = -62*p**2 - 6*p + 3. Let r(w) = 20*w**2 + w - 1. Let n(h) = -3*r(h) - s(h). Let l(k) = -k**2 + 8*k**2 - 5*k + 16*k. Give -6*l(z) + 22*n(z).
2*z**2
Let o(a) = 1 - 7348*a - 7346*a + 14700*a. Let m(u) = -5*u. Let q be (1 + 12/(-9))*-12. Let s(g) = -g**2 + g + 3. Let y be s(0). What is q*m(t) + y*o(t)?
-2*t + 3
Let r(x) = -4*x**2 - 2. Let n(o) = 17*o**2 - 58*o + 15. Determine -n(k) - 4*r(k).
-k**2 + 58*k - 7
Let j(s) = -4*s + 49. Let z(y) be the second derivative of -17*y**3/6 + 197*y**2/2 - 1390*y + 1. Give -9*j(r) + 2*z(r).
2*r - 47
Let p(z) = -1817*z**2 + 64*z. Let w(k) = 502098*k**2 - 17688*k. Determine -2211*p(x) - 8*w(x).
603*x**2
Let k(d) = -311795*d**3 + 2002*d**2 + 143. Let h(x) = 8661*x**3 - 56*x**2 - 4. What is -143*h(c) - 4*k(c)?
8657*c**3
Let c(d) = -5*d - 400. Let p(m) = -m - 3. Calculate c(y) - 2*p(y).
-3*y - 394
Let g(h) = -6*h - 4. Let l(d) = -11*d - 7. Let k be 171/114 + 1/2. Suppose -k*i = -66 + 74. Calculate i*l(z) + 7*g(z).
2*z
Let w(v) = -2*v**2 - v. Suppose 4*h + 0 = 3*g + 4, h - 1 = g. Suppose 4*c = -2*q + 2, c - q + 3*q + h = 0. Let o(u) = -u**2 - u. What is c*o(k) + w(k)?
-3*k**2 - 2*k
Let b(p) = p. Let i(n) = 212*n - 228*n + 20*n - 12. Give -2*b(s) + i(s).
2*s - 12
Let a(y) = -5*y + 542. Let c(j) = 9*j - 1089. Determine 11*a(s) + 6*c(s).
-s - 572
Let n(o) = 7133*o**2 - 16*o + 22. Let a(k) = 2378*k**2 - 6*k + 8. Determine -11*a(y) + 4*n(y).
2374*y**2 + 2*y
Let t(g) = 5*g**3 - 3*g**2 + 7. Let j(n) = -n**3 - 2*n - 1. Determine 2*j(u) + t(u).
3*u**3 - 3*u**2 - 4*u + 5
Let n(l) = -36*l**2 + 3 + 64*l**2 + l - 4 - 29*l**2. Let p(k) = k**2 + 18*k - 1. Determine -n(u) + p(u).
2*u**2 + 17*u
Suppose 3*m - 59 = 5*f - 52, -4*m + 2*f = 14. Let t(d) = -13*d**3 + 3*d + 3. Let r(i) = 376*i**3 - 88*i - 88. Give m*r(p) - 176*t(p).
32*p**3
Let j(m) = -49*m + 71. Let q(v) = -245*v + 397. Give 22*j(f) - 4*q(f).
-98*f - 26
Let d(o) = -o**2 + o + 3. Let u(k) = k + 1. Suppose -6*n - 12 = -9*n. What is n*u(b) - d(b)?
b**2 + 3*b + 1
Let d(z) = 18*z**3 - 20*z**2 - 796*z - 11. Let j(o) = -10*o**3 + 11*o**2 + 397*o + 6. Calculate 6*d(i) + 11*j(i).
-2*i**3 + i**2 - 409*i
Let o be ((-100)/30)/((-6)/((-36)/(-5))). Let s(i) = -53*i**3 - 11*i**2 - 11*i - 8. Let n(g) = -18*g**3 - 4*g**2 - 4*g - 3. Determine o*s(z) - 11*n(z).
-14*z**3 + 1
Let o(n) = 1. Let q(v) be the third derivative of v**5/120 + v**4/24 - 77*v**3/6 - 75*v**2. Let c(i) be the first derivative of q(i). Give 2*c(a) + o(a).
2*a + 3
Let a(b) = 14*b + 1. Let c(j) = 14*j. Suppose 0 = n - 2*w + 17, 1249 = -2*n + 3*w + 1222. Give n*c(z) + 2*a(z).
-14*z + 2
Let r(v) = -3*v - 2. Let w(d) = -6*d - 4. Let p = -11950 - -11943. Calculate p*r(z) + 4*w(z).
-3*z - 2
Let q(r) = -r. Suppose 3*i + 3 = 2*t - t, 4*t = 2*i - 38. Let a(x) = 2*x - 1. Let n(p) = -6*p + 2. Let d(j) = -4*a(j) - 2*n(j). Determine t*q(c) - 4*d(c).
-4*c
Let k(x) = 4360*x - 5. Let z(g) = 2185*g - 3. What is 4*k(q) - 7*z(q)?
2145*q + 1
Let k(z) = 1804*z**3 + 11*z**2 - 22*z + 11. Let t(y) = 449*y**3 + 3*y**2 - 6*y + 3. What is 3*k(g) - 11*t(g)?
473*g**3
Suppose 0 = -3*m + 41 - 38. Let v(k) = 49*k - 25*k - 23*k + m. Let j(o) = -2*o - 5. Calculate -j(q) - 3*v(q).
-q + 2
Let z(f) = 1 - 274784*f + 274783*f + f**2 - 1. Let o(w) = -69*w**2 + 46*w. Determine o(q) + 46*z(q).
-23*q**2
Let t(x) = -4*x + 3*x + x + 8 - 2*x. Let a(c) = -6*c + 24. Suppose -75*w + 12 = -78*w, w + 10 = -f. Give f*a(r) + 17*t(r).
2*r - 8
Let g(i) = -2*i**2 + 5*i - 4. Let f(v) = 30*v**2 - 76*v - 9. Let n(b) = 7*b**2 - 18*b - 1. Let r(u) = 2*f(u) - 9*n(u). Give 9*g(q) - 4*r(q).
-6*q**2 + 5*q
Let u(v) = -v**2 - 5*v + 2. Let r(o) = 2*o**2 + 49*o - 12. What is r(z) + 8*u(z)?
-6*z**2 + 9*z + 4
Let a be ((-14)/14)/(1/4) + 17. Suppose -a*d = -74 + 35. Let y(s) = -s**2 - 1. Let o(k) = -2*k**2 - 5. Determine d*o(n) - 15*y(n).
9*n**2
Let p(t) = -8*t**2 - 12*t + 2958. Let i(y) = y**2 + 2*y - 2. Give 6*i(m) + p(m).
-2*m**2 + 2946
Let i(v) = 10 - 3684*v**2 - v + 1622*v**2 + 2053*v**2. Let s(q) = 0*q**2 - 1 + q**2 + 0. Give -2*i(u) - 22*s(u).
-4*u**2 + 2*u + 2
Let w(n) = -11*n**2 + 4*n + 5. Let a(j) = -j**2 - j - 1. Let r = 1485 - 1489. Determine r*a(l) - w(l).
15*l**2 - 1
Suppose 0 = 130*o - 139*o + 9. Let j(f) = 4*f**3 - f**2 - 8*f + 9. Let d be j(o). Let i(z) = -z + 11. Let x(k) = k - 10. Give d*i(w) + 3*x(w).
-w + 14
Let u(h) = -3. Let m(f) be the first derivative of 10 + 1/2*f**2 - 10*f. Suppose 30*l - 226 + 16 = 0. Calculate l*u(r) - 2*m(r).
-2*r - 1
Let p(f) = 4*f**2 - 3*f + 1. Let v(n) = -205*n**2 + 14*n - 6. Determine 5*p(j) + v(j).
-185*j**2 - j - 1
Let u(g) = -20*g. | {
"pile_set_name": "DM Mathematics"
} |
e?
625
What is 0.6899969l in millilitres?
689.9969
How many centimeters are there in 11/2 of a meter?
550
What is one sixteenth of a kilometer in centimeters?
6250
What is 4513.16754 minutes in weeks?
0.447734875
What is 21/4 of a week in minutes?
52920
Convert 0.5158962ug to milligrams.
0.0005158962
Convert 2.222751 months to centuries.
0.0018522925
What is 14.45171cm in millimeters?
144.5171
What is nine tenths of a kilometer in meters?
900
Convert 3830.137 meters to kilometers.
3.830137
How many litres are there in 5.194798ml?
0.005194798
How many minutes are there in 3/28 of a week?
1080
Convert 5476.683 weeks to days.
38336.781
What is 8130.815cm in kilometers?
0.08130815
What is 15/4 of a gram in milligrams?
3750
Convert 3.617763nm to centimeters.
0.0000003617763
How many millilitres are there in fourty-three quarters of a litre?
10750
What is 3/32 of a day in seconds?
8100
What is 2141.119ug in milligrams?
2.141119
What is 3/50 of a litre in millilitres?
60
How many millimeters are there in 49.4657 meters?
49465.7
What is fifty-seven fifths of a meter in centimeters?
1140
What is 9.186975l in millilitres?
9186.975
What is 0.227985 nanometers in micrometers?
0.000227985
How many nanograms are there in 3.641194 milligrams?
3641194
What is 15/4 of a litre in millilitres?
3750
What is 91/2 of a litre in millilitres?
45500
Convert 1256.881 litres to millilitres.
1256881
What is 1/20 of a millisecond in microseconds?
50
How many meters are there in 8.19328cm?
0.0819328
How many years are there in three fifths of a millennium?
600
What is 993.182 years in decades?
99.3182
How many millimeters are there in 3/40 of a meter?
75
How many millimeters are there in 32460.21 kilometers?
32460210000
How many meters are there in 568.344km?
568344
How many centimeters are there in three tenths of a kilometer?
30000
How many millilitres are there in twenty-nine fifths of a litre?
5800
What is 979.358 decades in years?
9793.58
What is 0.0374333l in millilitres?
37.4333
What is 529.1837 centimeters in kilometers?
0.005291837
How many millilitres are there in 71/4 of a litre?
17750
What is 1/4 of a milligram in micrograms?
250
What is 3/50 of a meter in micrometers?
60000
What is nine tenths of a microgram in nanograms?
900
What is 26/5 of a kilometer in meters?
5200
Convert 159.3645 seconds to microseconds.
159364500
Convert 9734.886ml to litres.
9.734886
How many meters are there in 54/5 of a kilometer?
10800
How many litres are there in 1565.404ml?
1.565404
How many centuries are there in 6.040795 years?
0.06040795
What is 21/4 of a gram in milligrams?
5250
What is 0.785802ml in litres?
0.000785802
What is 85.47253 meters in nanometers?
85472530000
How many kilograms are there in 0.7440307 micrograms?
0.0000000007440307
What is 3/8 of a hour in seconds?
1350
How many millilitres are there in 85.13009l?
85130.09
What is 92.93033 millimeters in micrometers?
92930.33
How many litres are there in 7.741911ml?
0.007741911
What is 8/25 of a micrometer in nanometers?
320
What is 1/4 of a micrometer in nanometers?
250
How many grams are there in 20.34523ug?
0.00002034523
How many minutes are there in 1/10 of a hour?
6
How many grams are there in 5/8 of a kilogram?
625
How many days are there in 57245.13 nanoseconds?
0.000000000662559375
How many millilitres are there in twenty-seven halves of a litre?
13500
Convert 175040.2 micrograms to nanograms.
175040200
What is 36154.07ml in litres?
36.15407
What is 0.1563726ml in litres?
0.0001563726
Convert 44.43098 weeks to microseconds.
26871856704000
How many years are there in twenty-three eighths of a millennium?
2875
How many kilograms are there in three tenths of a tonne?
300
What is 60.75132 litres in millilitres?
60751.32
How many grams are there in twenty-nine halves of a kilogram?
14500
How many minutes are there in sixty-eight thirds of a hour?
1360
How many millimeters are there in one tenth of a meter?
100
What is three tenths of a tonne in kilograms?
300
What is 12/25 of a litre in millilitres?
480
What is 6760.943 nanometers in centimeters?
0.0006760943
What is 1/20 of a meter in micrometers?
50000
Convert 88220.31 micrograms to kilograms.
0.00008822031
How many milliseconds are there in 0.7595708 days?
65626917.12
How many years are there in 0.6729555 millennia?
672.9555
Convert 7623.04 litres to millilitres.
7623040
How many micrometers are there in 683.4473mm?
683447.3
Convert 8945.333 decades to months.
1073439.96
What is 4.792187m in micrometers?
4792187
Convert 1969.969 centuries to decades.
19699.69
How many millilitres are there in nineteen quarters of a litre?
4750
How many months are there in 11/2 of a millennium?
66000
How many centimeters are there in 543.702 kilometers?
54370200
What is 3/5 of a litre in millilitres?
600
How many microseconds are there in 95.19373 days?
8224738272000
How many millilitres are there in seven halves of a litre?
3500
Convert 92.90165 micrograms to nanograms.
92901.65
How many micrograms are there in seven quarters of a milligram?
1750
What is 51/2 of a millennium in centuries?
255
How many months are there in four thirds of a century?
1600
Convert 19297.38ug to kilograms.
0.00001929738
What is 47/4 of a milligram in micrograms?
11750
What is 3/5 of a microsecond in nanoseconds?
600
What is 322951.3ml in litres?
322.9513
What is 7/3 of a day in minutes?
3360
How many hours are there in one quarter of a week?
42
How many millilitres are there in three fifths of a litre?
600
What is 0.754339 kilometers in centimeters?
75433.9
What is 45739.24 years in millennia?
45.73924
How many millilitres are there in 72.10242l?
72102.42
How many micrograms are there in 45/4 of a milligram?
11250
How many months are there in thirteen quarters of a decade?
390
What is 1.080548 milligrams in micrograms?
1080.548
What is 757577.1t in grams?
757577100000
What is 31/5 of a centimeter in micrometers?
62000
How many centuries are there in 2478.7239 months?
2.06560325
How many milligrams are there in 6/25 of a gram?
240
How many days are there in 4/7 of a week?
4
Convert 0.9213479 litres to millilitres.
921.3479
Convert 1.168917 months to centuries.
0.0009740975
How many years are there in 88934.75 decades?
889347.5
What is one sixth of a week in minutes?
1680
How many months are there in twenty-one halves of a century?
12600
What is 1/10 of a litre in millilitres?
100
How many millilitres are there in 11/4 of a litre?
2750
How many nanograms are there in 21/2 of a microgram?
10500
How many micrometers are there in fourty-eight fifths of a centimeter?
96000
Convert 50.741 litres to millilitres.
50741
What is 2/45 of a hour in seconds?
160
Convert 0.5463881l to millilitres.
546.3881
How many milligrams are there in 3/40 of a gram?
75
What is 0.1269783 kilometers in micrometers?
126978300
How many months are there in 1/4 of a year?
3
What is 609.0851 centuries in years?
60908.51
What is 1404.8109 months in millennia?
0.117067575
Convert 27.47622 months to centuries.
0.02289685
How many centuries are there in 6/5 of a millennium?
12
What is seventeen quarters of a second in milliseconds?
4250
What is 118.9353 millimeters in centimeters?
11.89353
How many litres are there in 9.586356ml?
0.009586356
Convert 45.66774ml to litres.
0.04566774
How many millilitres are there in 1/4 of a litre?
250
How many millilitres are there in 42/5 of a litre?
8400
What is 0.3128003 millilitres in litres?
0.0003128003
What is 8/15 of a decade in months?
64
How many millilitres are there in five quarters of a litre?
1250
How many litres are there in 902509.3 millilitres?
902.5093
What is 49380.8 minutes in nanoseconds?
2962848000000000
How many millilitres are there in twenty-seven fifths of a litre?
5400
How many grams are there in five quarters of a kilogram?
1250
How many months are there in 0.6260171 decades?
75.122052
What is 33/5 of a litre in millilitres?
6600
How many milliseconds are there in 6849.344 microseconds?
6.849344
What is 122902.8 days in minutes?
176980032
How many kilometers are there in 78443.02 millimeters?
0.07844302
What is 50573.11 milligrams in tonnes?
0.00005057311
Convert 11.29173ng to tonnes.
0.00000000000001129173
How many millilitres are there in 21/8 of a litre?
2625
Convert 7 | {
"pile_set_name": "DM Mathematics"
} |
0.37, 11 in ascending order.
-5, 0.07, 0.37, 0.5, 3, 11
Sort -10, -3, -29, -2, 2 in descending order.
2, -2, -3, -10, -29
Sort -3, 23896, -29.
-29, -3, 23896
Sort 8, 5, -1531 in ascending order.
-1531, 5, 8
Sort 0, 2/5, -2161 in descending order.
2/5, 0, -2161
Sort 4, 6, -1425, 3, -1.
-1425, -1, 3, 4, 6
Sort -244, 0, -13 in decreasing order.
0, -13, -244
Sort -970, -4, 3, 5 in decreasing order.
5, 3, -4, -970
Put 3, 1, 0.2, 2/253, 54 in ascending order.
2/253, 0.2, 1, 3, 54
Sort -17, -2, -367, 2, 3 in increasing order.
-367, -17, -2, 2, 3
Sort 23, 0.4, 5, -0.09, 4 in increasing order.
-0.09, 0.4, 4, 5, 23
Sort 50, 5, 7, 10 in decreasing order.
50, 10, 7, 5
Sort 1, 2, -111/17, -5 in ascending order.
-111/17, -5, 1, 2
Sort 219, 1, 24, 0.
0, 1, 24, 219
Sort 1208, 0.5, -105 in ascending order.
-105, 0.5, 1208
Put 68, 1, -9, 1407, 4 in increasing order.
-9, 1, 4, 68, 1407
Put -4, 231, -4/3 in descending order.
231, -4/3, -4
Sort 0.3, -22, 8/5, -2/11, 2 in decreasing order.
2, 8/5, 0.3, -2/11, -22
Sort 2, -0.4, -1, -0.1, 0.029527.
-1, -0.4, -0.1, 0.029527, 2
Sort 0.3, -8, -1/7, -6, -6/5, 4 in decreasing order.
4, 0.3, -1/7, -6/5, -6, -8
Put 9, 2, 53, 4, -5 in increasing order.
-5, 2, 4, 9, 53
Sort 0, 0.2, 29, -0.3.
-0.3, 0, 0.2, 29
Sort -3, -4, -40, -19, -6 in increasing order.
-40, -19, -6, -4, -3
Sort 57, 19.3, -25.
-25, 19.3, 57
Sort 244, 3, 1, 73, 5 in ascending order.
1, 3, 5, 73, 244
Sort 4, -3, 22, 3, -2 in ascending order.
-3, -2, 3, 4, 22
Put 3, -3, -4, 2, -2 in increasing order.
-4, -3, -2, 2, 3
Sort -3/7, 21, 29, -2, 1.
-2, -3/7, 1, 21, 29
Sort -3, 5, -1, -4, -239, 4.
-239, -4, -3, -1, 4, 5
Sort -409, -1, 11, 1 in increasing order.
-409, -1, 1, 11
Put -0.035, -5, 2/9, 0.5, -7, -1/4 in decreasing order.
0.5, 2/9, -0.035, -1/4, -5, -7
Sort 3, 2, 85, 4, -11, 1.
-11, 1, 2, 3, 4, 85
Sort 1, -9, -6, 4 in increasing order.
-9, -6, 1, 4
Put -2, 4, -5, -58, 2 in increasing order.
-58, -5, -2, 2, 4
Sort -2/13, 9, -49, -576 in ascending order.
-576, -49, -2/13, 9
Sort -2, -24, -5, 3, 640, 1 in decreasing order.
640, 3, 1, -2, -5, -24
Sort -4, 5375, 5 in descending order.
5375, 5, -4
Sort 883, -5, 18 in decreasing order.
883, 18, -5
Sort -6/5, 11, -0.4, 3/4, 0.2 in descending order.
11, 3/4, 0.2, -0.4, -6/5
Put -166, -10/7, -23 in ascending order.
-166, -23, -10/7
Put 8, -1.4, 313, 4 in increasing order.
-1.4, 4, 8, 313
Sort 16, 401, -6, -3 in increasing order.
-6, -3, 16, 401
Sort -0.2, -39/157, 5.
-39/157, -0.2, 5
Sort -4, -3620, 4, 5.
-3620, -4, 4, 5
Sort 1, 6126, 4.
1, 4, 6126
Put -9, -10, -4, -5 in ascending order.
-10, -9, -5, -4
Sort -200, -0.1, 82, -0.08, 0.5 in decreasing order.
82, 0.5, -0.08, -0.1, -200
Sort -56, -3, 6, 5, 15 in ascending order.
-56, -3, 5, 6, 15
Sort -35, 4, 90, 5, -1 in increasing order.
-35, -1, 4, 5, 90
Put 2534, 2, -93, 0, 5, -4 in descending order.
2534, 5, 2, 0, -4, -93
Put -8, -0.2, 1, -9, -123 in ascending order.
-123, -9, -8, -0.2, 1
Put -11, -6, 3, -2, -3, 4 in descending order.
4, 3, -2, -3, -6, -11
Put 0, -0.91, 1, -13, -0.5, 0.3 in increasing order.
-13, -0.91, -0.5, 0, 0.3, 1
Put 41171, 7, 5 in ascending order.
5, 7, 41171
Put 1/9, 2/117, 3/28 in ascending order.
2/117, 3/28, 1/9
Put 139, 0.03, -3/2, 0.2 in descending order.
139, 0.2, 0.03, -3/2
Sort -1/3, 2/13, -1/6, -0.589, -4 in decreasing order.
2/13, -1/6, -1/3, -0.589, -4
Sort 9, 5, -1197, 2, -3 in ascending order.
-1197, -3, 2, 5, 9
Sort 3/2, -23305, -0.07, 5.
-23305, -0.07, 3/2, 5
Sort -5, -24660, -11, 3.
-24660, -11, -5, 3
Sort -28, -2, 1, -8 in decreasing order.
1, -2, -8, -28
Sort 0.05, 1/6, 1/3, 0.4, -20591.
-20591, 0.05, 1/6, 1/3, 0.4
Sort -1.2, 0.13, 1/15, -1, 13, -2 in increasing order.
-2, -1.2, -1, 1/15, 0.13, 13
Sort 3, 4, 5, 567/10 in decreasing order.
567/10, 5, 4, 3
Put -5, 0, -2, 84 in decreasing order.
84, 0, -2, -5
Sort 149/2, 0.19, -0.4.
-0.4, 0.19, 149/2
Put -0.8, -2, -1.8, 0, 4 in decreasing order.
4, 0, -0.8, -1.8, -2
Sort 4, -2/7, -5, -3, 4.09, -11 in decreasing order.
4.09, 4, -2/7, -3, -5, -11
Sort -3, 1, -1/5, 1/5, -628 in decreasing order.
1, 1/5, -1/5, -3, -628
Sort 4, -9, 1, 33 in ascending order.
-9, 1, 4, 33
Put 1, -685, 6 in decreasing order.
6, 1, -685
Put 2, 397, -4, 3, -10 in increasing order.
-10, -4, 2, 3, 397
Sort 4, -4, 2, 0, -407 in ascending order.
-407, -4, 0, 2, 4
Sort 3, 2/19, 17, -1.
-1, 2/19, 3, 17
Sort -877, 3, -4, 4.
-877, -4, 3, 4
Sort 3/5, 0.15, -2/3, -1/2, -10, -5.
-10, -5, -2/3, -1/2, 0.15, 3/5
Put -46, -0.2, -2, 5, 1.6, -5 in ascending order.
-46, -5, -2, -0.2, 1.6, 5
Sort 0.4, -205, 1/2, -55, -0.4.
-205, -55, -0.4, 0.4, 1/2
Put -1, 2549/2, -7 in ascending order.
-7, -1, 2549/2
Put -1/8, 1/2, -574, 0, 4 in ascending order.
-574, -1/8, 0, 1/2, 4
Sort -7, -3, 61 in increasing order.
-7, -3, 61
Put 5, 0, -948, -2 in descending order.
5, 0, -2, -948
Put 20, -4, 27, 5, -11, 0 in decreasing order.
27, 20, 5, 0, -4, -11
Put 0, -3, -0.13, -2/7, 2.8 in descending order.
2.8, 0, -0.13, -2/7, -3
Put -58, 30, 6, -2, 5 in increasing order.
-58, -2, 5, 6, 30
Sort -293, 3, 2, -1.5.
-293, -1.5, 2, 3
Put 3, 1/2, -0.1, -1/6, -6/13 in descending order.
3, 1/2, -0.1, -1/6, -6/13
Sort -0.2, -0.5, 0.2, 3, -200, 11.
-200, -0.5, -0.2, 0.2, 3, 11
Put 7, 3, 1, -2 in descending order.
7, 3, 1, -2
Put -2.9, 1, 3/4, -2/11 in increasing order.
-2.9, -2/11, 3/4, 1
Put -5, -9, 153, 34, 4, 3 in decreasing order.
153, 34, 4, 3, -5, -9
Put 1, 5276, -1 in ascending order.
-1, 1, 5276
Put 165, -8/7, -2/11 in ascending order.
-8/7, -2/11, 165
Sort -6, 17, 4, 5, 3, 360.
-6, 3, 4, 5, 17, 360
Sort 2, -5, 5, -2, -2359 in increasing order.
-2359, -5, -2, 2, 5
Sort 0.1, 5/4, -2/3, -156 in increasing order.
-156, -2/3, 0.1, 5/4
Put 24, 4, 0, 0.603, 3 in ascending order.
0, 0.603, 3, 4, 24
Sort -32, -0.5, 42, 2/9, -4, 3 in increasing order.
-32, -4, -0.5, 2/9, 3, 42
Sort -1, -214, 1, -4, 2 in decreasing order.
2, 1, -1, -4, -214
Sort 5, -6, 0.1, 55, -12.
-12, -6, 0.1, 5, 55
Put -5, 5, -4, -1, 106, -9 in ascending order.
-9, -5, -4, -1, 5, 106
Put -0.084, 18, -1, -0.4, 2, -5 in descending order.
18, 2, -0.084, -0.4, -1, -5
Sort -146, 0, 54 in descending order.
54, 0, -146
Sort 1, 4, -3, 106, -153 in ascending order.
-153, -3, 1, 4, 106
Put -31940, 4, 3 in increasing order.
-31940, 3, 4
Put -43, 83/78, -2, -0.3 in descending order.
83/78, -0.3, -2, -43
Put -3, 36, 2, 3, 4 in increasing order.
-3, 2, 3, 4, 36
Put 5, -317, -16, -2 in decreasing order.
5, -2, -16, -317
Sort 5, 3, -1, -29, -53, 1 in decreasing order.
5, 3, 1, -1, -29, -53
Sort -4, 1, 4, -736, 2.
-736, -4, 1, 2, 4
Put 4, -48201, 3 in decreasing order.
4, 3, -48201
Sort -5, -1487, 15 in ascending order.
-1487, -5, 15
Put 2, 3, -1.06, 1/10 in increasing order.
-1.06, 1/10, 2, 3
Put -793, -2, -18, -4, 2 in decreasing order.
2, -2, -4, -18, -793
Put 75, -0.4, 3/4, -1, 0.3 in increasing order.
-1, -0.4, 0.3, 3/4, 75
Put 3, 1425778, 0 in increasing order.
0, 3, 1425778
Sort -0.105, 2/21, 1, 0.2, 3/4, 4 in decreasing order.
4, 1, 3/4, 0.2, 2/21, -0.105
Put 463, 199, 2, 3 in decreasing order.
463, 199, 3, 2
Sort -235, -5, 4 in increasing order.
-235, -5, 4
Sort 14, -5, 6, -6.2, -4 in descending order.
14, 6, -4, -5, -6.2
Put -0.3, -3/7, -4, -5, 523 in decreasing order.
523, -0.3, -3/7, -4, -5
Sort 2, -2/3, -4.49, -4, -1/2 in descending order.
2, -1/2, -2/3, -4, -4.49
Sort 1, 4, -35, -1664, -7 in decreasing order.
4, 1, -7, -35, -1664
Put 2, 4, 1, 32, -11, 5 in descending order.
32, 5, 4, 2, 1, -11
Sort 342, -2/13, 5, 3, 2 in increasing order.
-2/13, 2, 3, 5, 342
Sort -2, -17, -9, 2, -4.
-17, -9, -4, -2, 2
Put -2, -2/13, 0.5, -209, 3 in increasing order.
-209, -2, -2/13, 0.5, 3
Sort 14, -30/7, -13.
-13, -30/7, 14
Sort -1, -4, 2, 2674, -3, 3.
-4, -3, -1, 2, 3, 2674
Put 0, 5, 2, 7, -567, 6 in ascending order.
-567, 0, 2, 5, 6, 7
Sort 81/8, -2/17, 219, 1/3 in ascending order.
-2/17, 1/3, 81/8, 219
Put 207, 2, 6/377 in ascending order.
6/377, 2, 207
Put -107, 2, -3, 38 in increasing order.
-107, -3, 2, 38
Put 11, -0.4, 1, 1.2, 202 in ascending order.
-0.4, 1, 1.2, 11, 202
Sort 0.3, -63/8, 21, -31 in ascending order.
-31, -63/8, 0.3, 21
Sort 3, 2, -5, -0.3, -0.69 in descending order.
3, 2, -0.3, -0.69, -5
Put -259, -4, 5, -983 in decreasing order.
5, -4, -259, -983
Sort -1, -2/1982663, -3/8 in | {
"pile_set_name": "DM Mathematics"
} |
75000
What is 17/2 of a kilogram in grams?
8500
Convert 611.3589 kilograms to grams.
611358.9
Convert 802.7235t to kilograms.
802723.5
How many months are there in thirteen fifths of a century?
3120
Convert 61.26136 millilitres to litres.
0.06126136
How many nanometers are there in 0.2923934 centimeters?
2923934
Convert 87422.7 kilograms to milligrams.
87422700000
What is 53/4 of a gram in milligrams?
13250
How many micrometers are there in thirty-one halves of a millimeter?
15500
What is 7/2 of a litre in millilitres?
3500
What is seven quarters of a litre in millilitres?
1750
How many hours are there in thirteen quarters of a week?
546
What is 320421.1 tonnes in grams?
320421100000
How many millilitres are there in 75/4 of a litre?
18750
How many grams are there in 3/32 of a tonne?
93750
How many micrometers are there in 11/2 of a centimeter?
55000
Convert 537.7921 days to milliseconds.
46465237440
What is 751.1896 years in centuries?
7.511896
How many millilitres are there in 6/25 of a litre?
240
What is 60.372 centuries in months?
72446.4
Convert 2.824663 nanograms to kilograms.
0.000000000002824663
How many centimeters are there in 3/40 of a kilometer?
7500
What is 44/5 of a litre in millilitres?
8800
How many kilometers are there in 44.32858cm?
0.0004432858
How many months are there in 17/6 of a millennium?
34000
Convert 77948.15l to millilitres.
77948150
What is 0.1505178 decades in months?
18.062136
Convert 3987.361cm to nanometers.
39873610000
What is six fifths of a gram in milligrams?
1200
What is 7169.435g in micrograms?
7169435000
How many millilitres are there in 1/5 of a litre?
200
Convert 6130.345 nanometers to centimeters.
0.0006130345
How many weeks are there in 132297.48 days?
18899.64
What is 1/5 of a litre in millilitres?
200
What is five quarters of a kilogram in grams?
1250
What is 11/10 of a kilometer in meters?
1100
How many nanometers are there in 914532.4cm?
9145324000000
How many years are there in 3/5 of a decade?
6
How many centimeters are there in ninety-one quarters of a meter?
2275
How many decades are there in 21/4 of a millennium?
525
What is 3/50 of a meter in millimeters?
60
What is 69.17511 millimeters in micrometers?
69175.11
How many milligrams are there in one quarter of a gram?
250
What is 72.2639l in millilitres?
72263.9
Convert 19300.45 years to centuries.
193.0045
What is 4.39182 minutes in hours?
0.073197
How many kilograms are there in 1/4 of a tonne?
250
How many litres are there in 75569.31ml?
75.56931
How many seconds are there in one sixth of a minute?
10
How many tonnes are there in 63.70956ug?
0.00000000006370956
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is thirteen eighths of a millennium in months?
19500
What is 3/10 of a litre in millilitres?
300
How many milliseconds are there in 4951.459 seconds?
4951459
How many millilitres are there in 1/5 of a litre?
200
What is thirty-one halves of a century in decades?
155
What is 12.051324 minutes in days?
0.008368975
How many centuries are there in thirteen fifths of a millennium?
26
What is four thirds of a minute in milliseconds?
80000
Convert 1204018.29ns to days.
0.000000013935396875
What is 558.8361 millilitres in litres?
0.5588361
Convert 331808.6um to meters.
0.3318086
What is 7/8 of a tonne in kilograms?
875
How many kilograms are there in 463.1148 grams?
0.4631148
What is one fifth of a litre in millilitres?
200
How many litres are there in 9264.54 millilitres?
9.26454
How many months are there in twenty-one eighths of a millennium?
31500
What is 5/4 of a milligram in micrograms?
1250
How many minutes are there in 7/15 of a week?
4704
How many centimeters are there in 3/16 of a kilometer?
18750
Convert 934.617ng to grams.
0.000000934617
What is 31/2 of a litre in millilitres?
15500
What is twenty-nine thirds of a century in months?
11600
How many minutes are there in 1.4250624 seconds?
0.02375104
What is 3/5 of a decade in years?
6
How many micrograms are there in 3/50 of a gram?
60000
Convert 1.45626 minutes to nanoseconds.
87375600000
Convert 626.2411 millennia to months.
7514893.2
What is 6/25 of a litre in millilitres?
240
How many micrometers are there in 3/8 of a millimeter?
375
What is 21/2 of a gram in milligrams?
10500
Convert 20.62743 millilitres to litres.
0.02062743
What is 7/8 of a microgram in nanograms?
875
How many minutes are there in 4806.2 weeks?
48446496
What is 9035.077 days in minutes?
13010510.88
What is 72.44046 years in centuries?
0.7244046
What is 5/8 of a decade in months?
75
How many seconds are there in 1/27 of a day?
3200
What is 1/5 of a micrometer in nanometers?
200
What is 404.6549 years in months?
4855.8588
What is 0.6713004 millilitres in litres?
0.0006713004
What is 3035.2cm in micrometers?
30352000
What is 871.6782l in millilitres?
871678.2
How many litres are there in 0.9757804 millilitres?
0.0009757804
Convert 7.584979l to millilitres.
7584.979
What is thirteen fifths of a litre in millilitres?
2600
What is 1/20 of a milligram in micrograms?
50
Convert 0.4746778um to millimeters.
0.0004746778
How many millilitres are there in 47.86189 litres?
47861.89
What is 31/2 of a litre in millilitres?
15500
How many millimeters are there in 11/2 of a meter?
5500
What is 1/20 of a meter in micrometers?
50000
How many millilitres are there in 11/4 of a litre?
2750
How many nanometers are there in seventeen halves of a micrometer?
8500
What is 335041.7 nanometers in meters?
0.0003350417
What is 11/4 of a micrometer in nanometers?
2750
How many meters are there in 0.8868923 millimeters?
0.0008868923
How many meters are there in 3959.589nm?
0.000003959589
How many months are there in 3/32 of a millennium?
1125
How many hours are there in eleven sevenths of a week?
264
What is 6/5 of a micrometer in nanometers?
1200
Convert 53.82022 milligrams to micrograms.
53820.22
How many millilitres are there in fifty-two fifths of a litre?
10400
Convert 266.4361mm to nanometers.
266436100
How many months are there in 1/30 of a millennium?
400
How many litres are there in 757.7752 millilitres?
0.7577752
How many nanograms are there in 99050.59ug?
99050590
Convert 0.5235779ml to litres.
0.0005235779
How many nanometers are there in eleven halves of a micrometer?
5500
How many meters are there in 848790.5nm?
0.0008487905
What is 31/5 of a litre in millilitres?
6200
What is six fifths of a litre in millilitres?
1200
How many seconds are there in 43.54754 nanoseconds?
0.00000004354754
What is 4645.888 tonnes in grams?
4645888000
What is twenty-five quarters of a day in hours?
150
What is thirteen quarters of a millimeter in micrometers?
3250
Convert 0.1876869l to millilitres.
187.6869
Convert 33364.06 litres to millilitres.
33364060
How many milliseconds are there in 6/25 of a minute?
14400
How many centuries are there in 63.2606 decades?
6.32606
Convert 52.85347 micrograms to grams.
0.00005285347
What is 4.064737 micrograms in kilograms?
0.000000004064737
How many grams are there in 3/40 of a tonne?
75000
What is 867108.78s in days?
10.03598125
How many millilitres are there in fifty-one fifths of a litre?
10200
How many litres are there in 0.7352703 millilitres?
0.0007352703
What is 17/4 of a microsecond in nanoseconds?
4250
Convert 410.3136 seconds to hours.
0.113976
What is 744881.3l in millilitres?
744881300
What is 6.81388l in millilitres?
6813.88
What is 0.7112487l in millilitres?
711.2487
What is 1/10 of a litre in millilitres?
100
What is fifty-four fifths of a kilogram in grams?
10800
Convert 57355.16 micrometers to nanometers.
57355160
What is thirteen fifths of a gram in milligrams?
2600
What is 0.1264644 litres in millilitres?
126.4644
How many litres are there in 3750.162ml?
3.750162
What is 52/5 of a millennium in centuries?
104
What is 3625.007ng in milligrams?
0.003625007
How many kilometers are there in 449.366mm?
0.000449366
What is 6.181133 tonnes in nanograms?
6181133000000000
What is 73/3 of a minute in seconds?
1460
What is one sixteenth of a kilometer in centimeters?
6250
How many microseconds are there in fourty-six fifths of a millisecond?
9200
How many milligrams are there in 34/5 of a gram?
6800
How many micrograms are there in 634.4098t?
634409800000000
What is 177 | {
"pile_set_name": "DM Mathematics"
} |
(a) g (b) 1/5 (c) u
a
Let l = 1 + -1. Let o = -3.414 - -3.4. Let x = o + 0.214. Which is the nearest to l? (a) -3 (b) x (c) -0.5
b
Let h = -288 + 291. What is the closest to -1 in 0.5, h, -0.1?
-0.1
Let p = -0.1 + 3.1. Let f = -3.19 + p. Let d = f - -0.09. Which is the closest to -2? (a) -1 (b) d (c) 0.4
a
Let g = 804 + -794.02. Let z = g - -0.02. Let i = z - 10.1. What is the closest to 0.2 in i, 0, -3?
0
Let f = -7.07 + 10.07. Which is the nearest to 3/4? (a) -0.4 (b) 0.4 (c) -0.3 (d) f
b
Let r(q) = -q**2 + 6*q + 4. Let j be r(9). Let h = j - -45/2. What is the nearest to 2/3 in -3, -0.1, h?
-0.1
Let h be (4/(-6))/((-15)/(-9))*5. What is the nearest to -1/4 in 4, h, -3?
h
Let d = -353/705 - 14/141. What is the nearest to -1 in 5, 2, d?
d
Let v = 9 - 17. Let l = -381/28 + 3/28. Let f = l + 14. Which is the nearest to 1? (a) f (b) v (c) -0.3
a
Let l = -0.2 + 0.1. Let u(s) = -s**3 - 14*s**2 - 9*s + 54. Let v be u(-13). Which is the closest to l? (a) -0.3 (b) v (c) 0.3
a
Let s = 86 - 87. Which is the closest to -1? (a) s (b) 1/6 (c) 2
a
Let l = -553.2 - -553. What is the closest to -0.1 in -0.1, 1/5, 1, l?
-0.1
Let l = -1143.9 + 1144. Let x be 2/3 + 20/6. Let q be x/4 + (0 - 4). What is the nearest to l in -4, 1/7, q?
1/7
Let k = 0.1 + 0. Let j = 216 - 211.84. Let i = -0.16 + j. What is the nearest to k in i, 0.3, 0?
0
Suppose 3*o = -o + 52. Let l = o - 11. Let q be l - ((-93)/(-24) + -2). Which is the nearest to -1? (a) -4 (b) q (c) 0.2
b
Let t = -2713 + 2712.9. Let s be (-6)/(-21) + (-16)/105. What is the closest to s in t, -5, -0.2?
t
Let a = -718 + 723. What is the nearest to 0.2 in 4, a, 0.2, 2/7?
0.2
Let o = -109 + 113. Suppose -4*y = -o + 20. Which is the nearest to 2? (a) y (b) -1/2 (c) -0.2
c
Let p = -2.2 + 14.2. Let b = -11.75 + p. Let g = b - 0.35. What is the nearest to 5 in 0, g, 4?
4
Let x = -30.53 - -30.5. What is the nearest to 0 in 0, 4, x?
0
Let u be (-40)/70 + (-3)/7. What is the nearest to 8 in -4, u, -1/2, 2?
2
Let g be ((-2)/(-8))/(6/8). Let z be (0*(-15)/75)/(-8). Which is the closest to z? (a) -4 (b) 5 (c) g
c
Let x = 3.09 + -2.99. Which is the nearest to x? (a) 1 (b) -3 (c) -9 (d) 1/10
d
Let u be ((-21)/(-28))/3 + (-19)/(-4). Suppose u*m - 13*m = -56. Let y = -0.2 + 0.2. What is the nearest to y in 5, m, 4?
4
Let y(b) = -b + 1. Let w be y(-3). Let g = -0.141 - -0.041. What is the closest to -1 in w, 5, g?
g
Let r = -41 + 288/7. Let c = -83 + 416/5. What is the nearest to c in 1/8, 2/3, r?
r
Let h = -19.2 + 19.1. What is the nearest to h in 0.081, 0.1, 3, -3?
0.081
Let w = 0.3 + 1.1. Let n = -1.3 + w. Let r = 0.4 + n. Which is the nearest to 0? (a) -0.1 (b) 0.3 (c) r
a
Let j = -85.073 - -1.073. Which is the nearest to -2/7? (a) -5 (b) j (c) 5
a
Suppose 3*a = -3*q - 39, -3*q = -0*a + a + 15. Let d = a - -11. Let j = -3.3 + -1.7. What is the nearest to d in j, 2/9, -8?
2/9
Let o = 1123 + -1118. What is the closest to 0.1 in 0, o, -1/6?
0
Let f = -307 - -308. Let h be (((-9)/15)/(-3))/(-1). What is the nearest to f in -1/2, 4/11, h?
4/11
Let w = -427.8 - -428.3. Let y = 10.7 + -15. Let l = y - -4. What is the nearest to -0.1 in l, -0.4, w?
l
Let q = 200 + -200.1. Which is the nearest to 3? (a) -1 (b) q (c) 1/7 (d) 2/9
d
Let m = -389 - -388. Which is the closest to m? (a) -59 (b) 0.3 (c) -0.4
c
Let q = -0.372 + 5.372. Which is the nearest to -0.2? (a) 1/2 (b) q (c) -0.2
c
Let w be 9/(15/(-5)) - -3. What is the closest to w in 2, -7/9, 1?
-7/9
Let g be 152/(-114)*((-2)/2 - 2). Let q = 8/59 + -50/1239. What is the closest to 0 in q, g, 2?
q
Let q = 0.399 + 0.601. Which is the closest to -17? (a) -0.01 (b) q (c) 0.1
a
Let l(o) = -o**3 + 8*o**2 - 6*o - 8. Let q be l(7). Let r = -29 + 34. Which is the nearest to q? (a) 3/4 (b) -1 (c) r
b
Suppose j - 3*j + 2*v - 30 = 0, -4*j = -5*v + 61. Let n be (-51)/210 - 2/j. Which is the nearest to 0? (a) -0.03 (b) n (c) 2/15
a
Let k = -72.8 - -142. Let r = k + -69. Which is the closest to r? (a) -5 (b) 0.1 (c) -2/5
b
Let z = -3.7 - -3.7. What is the closest to 2 in 1/6, z, 13?
1/6
Let k = 2/119 - 482/357. Which is the closest to 0? (a) k (b) -6/7 (c) -1/7
c
Let f = 264 + -264.06. What is the nearest to -3 in -0.3, f, 0.3, -4?
-4
Let f = 233/12 - 56/3. Let d = 0.7 - 1. Which is the nearest to 0? (a) f (b) d (c) -2
b
Let j = -0.007 - -1.007. Let p = 0.13 + -0.1. Let u = 0.03 - p. Which is the closest to 1? (a) u (b) -1/6 (c) j
c
Suppose -2*l - 63 = 4*q - 9, 0 = 3*l - 2*q + 89. Let t = l - -173/6. Suppose 6*f + 2 + 4 = 0. Which is the closest to f? (a) t (b) 0.5 (c) 0
a
Let f = -0.4 - -0.3. Let t = 648.93 + -654. Let h = t - -1.07. Which is the closest to f? (a) h (b) -0.4 (c) 5
b
Let c = 278 + -278. What is the nearest to c in 21, -0.3, -1, 14?
-0.3
Let g be (-51)/135 + 15/25. Let x be (-1 - -4)*10/6. Let p = -5 + x. What is the nearest to 2 in -0.2, p, g?
g
Let f be (3 + 15/(-6))/2. Which is the closest to 0.4? (a) f (b) -16 (c) -4
a
Let s be (-22)/(-6) + (-5)/(-10)*-6. Let n = -1.97 - -2. Let b = 2.97 + n. What is the nearest to s in b, 2/9, -0.2?
2/9
Let u = -1/17 + -25/153. Let l = -0.2 - -0.2. Let n = -0.454 + 0.254. Which is the nearest to l? (a) n (b) 1 (c) u
a
Let r be (3 + 336 + -3)*3 + 0. Let y be 4/(-9) + 16/r. What is the closest to 2 in 0.3, -5, y?
0.3
Let y = 37/87 + -19429/6612. Let q = 24/19 + y. Suppose -5*r + 10 = -2*n - 0, 0 = -5*r + 10. Which is the nearest to n? (a) -4 (b) q (c) 0
c
Let j = 47 - 103. Let q = -55.9 - j. Let t = 0 - -0.2. Which is the closest to t? (a) -1/8 (b) 0.2 (c) q
b
Let i = -15/2 - -7. Let n = -1/6 - i. Let z = 86 + -81. What is the nearest to n in 0, -3, z?
0
Let h = -4.28 - -3.88. What is the closest to -18 in h, 0.2, 2/7?
h
Let f = -5.9 - -6. Let m = -0.16 + -0.34. Let k = 3.6 + -8.6. What is the nearest to f in m, 2/13, k?
2/13
Let c = 0 + -0.1. Suppose 2*w + 4*u + 33 = -23, -96 = 2*w - 4*u. Let s = w - -416/11. What is the nearest to 1/4 in s, c, 4?
c
Let g be -8 + ((-14)/(-21) - (-30)/9). Suppose -2*k + 63 = k - 3*t, -t = -5*k + 101. Let x be ((-1)/7)/(5/k). Which is the closest to -3? (a) g (b) x (c) 5
a
Let m = 790.8 - 791. What is the nearest to -1/4 in 4, -0.37, m, -5?
m
Let j = -1652.192 - -1652. What is the nearest to -3 in j, 0.5, 5?
j
Let k = -3/5 + 37/45. Which is the closest to 0.03? (a) -0.5 (b) 2/17 (c) k
b
Let w = -48 + 70. Let k = w + -19. Which is the nearest to 2/9? (a) 0.1 (b) 0.2 (c) k
b
Let t = 50 - 54. What is the closest to -1 in -1, t, 4/7, 1/3?
-1
Let w be (-6)/4*12/(-9). Let z be w/3*2/6. Suppose -12 = -2*f + x, -f + 0*x + x + 7 = 0. Which is the nearest to -0.1? (a) 0.5 (b) z (c) f
b
Let y = 1 - 2. Let f = -140 - -136. Which is the nearest to 1/4? (a) f (b) y (c) 0.4
c
Suppose 0 = -5*i - 5*v - 20, 0 = 5*i + 4*v + 4 + 13. What is the closest to i in -0.1, 10, -2/9, 0?
-2/9
Let g = 30 - 30. Let b be ((-2)/2 - -1)*1. What is the nearest to g in 1/4, -2, b?
b
Let w = 45 - 45.33. Let y = w - -0.23. Which is the nearest to 1/2? (a) y (b) -5 (c) -3
a
Let s = 511 - 510.5. Which is the closest to -17? (a) s (b) 2 (c) 4
a
Let p = -0.8 + 0.3. Suppose u = 3*y - 4*u - 31, -u + 3 = 4*y. Let o = 91 - 90. Which is the nearest to o? (a) y (b) -7 (c) p
a
Let d = 26.8 - 27. Let x = -27 + 28. Which is the nearest to x? (a) -1 (b) -0.06 (c) d
b
Let o = 1.8847 + 0.0153. Which is the closest to 5? (a) o (b) -3/2 (c) -0.2
a
Let h = 1071 + -1064. Which is the nearest to 19? (a) h (b) 2/7 (c) 4
a
Let o = -0.3 - -0.1. Let w = 117 - 198. Let m = -82 - w. Which is the closest to m? (a) 5 (b) o (c) -1/6
b
Let o = 97.2 + -96.9. Which is the nearest to 2/7? (a) o (b) 1 (c) -2/5 (d) -1.6
a
Let l be (-1)/(5 + (0/(-4) - -2)). Which is the nearest to -315? (a) 0.5 (b) -2 (c) 2 (d) l
b
Suppose -2*r + g = -10, -2*r - 4*g = -11 - 9. What is the nearest to -1/6 in r, -0.1, -5/3?
-0.1
Let u = 17.9 + -16. Let q = -11.5 + 11.6. Let i = q + u. What is the nearest to i in -5, -0.2, 3?
3
Let p be 28/42 + 19/(-24). Which is the nearest to -1/4? (a) 3/7 (b) p (c) 0.3 (d) -5
b
Let p = 62.7 + -63.7. Let t = -7 + 7.3. What is the closest to p in t, 2/17, -4?
2/17
Let i(t) = 5*t**2 - 3*t - 4. Let g be i(-1). Which is the nearest to - | {
"pile_set_name": "DM Mathematics"
} |
vg when four letters picked without replacement from ggggggggvgggvgvvgg?
91/765
Four letters picked without replacement from sfufssskkkskffkkks. Give prob of sequence sfks.
7/612
What is prob of sequence fnf when three letters picked without replacement from nvtcfcfn?
1/84
Two letters picked without replacement from {j: 3, f: 5, t: 2}. Give prob of sequence jf.
1/6
Calculate prob of sequence hssh when four letters picked without replacement from {h: 2, s: 5}.
1/21
Calculate prob of sequence aaaa when four letters picked without replacement from {i: 10, a: 4}.
1/1001
What is prob of sequence mnnn when four letters picked without replacement from {m: 4, n: 10}?
120/1001
Two letters picked without replacement from {g: 2, q: 3, u: 1, f: 1, a: 3}. What is prob of sequence qu?
1/30
What is prob of sequence xdgj when four letters picked without replacement from ddjgjxdjdddxjx?
3/1001
Two letters picked without replacement from {x: 2, n: 1, t: 7}. What is prob of sequence nt?
7/90
Four letters picked without replacement from {b: 4, g: 6}. What is prob of sequence gbgb?
1/14
Four letters picked without replacement from {j: 1, w: 10, h: 4, y: 2, u: 2}. Give prob of sequence hwjy.
5/5814
What is prob of sequence sm when two letters picked without replacement from vsuosvommmvvoummmy?
2/51
Three letters picked without replacement from nvnnvuuuvnvuun. What is prob of sequence vnv?
5/182
What is prob of sequence jhh when three letters picked without replacement from {h: 7, j: 9}?
9/80
Calculate prob of sequence ojgp when four letters picked without replacement from {o: 1, p: 2, g: 9, j: 3, z: 3}.
1/1360
What is prob of sequence zz when two letters picked without replacement from zyzgoy?
1/15
Four letters picked without replacement from eoejeijeiejii. Give prob of sequence ieei.
2/143
Two letters picked without replacement from {u: 2, y: 1, t: 1, d: 2, z: 1}. Give prob of sequence yt.
1/42
Calculate prob of sequence gx when two letters picked without replacement from yggxmmymryfyryg.
1/70
Three letters picked without replacement from jjxjpjixgjggxxijjip. Give prob of sequence jpx.
28/2907
Calculate prob of sequence sw when two letters picked without replacement from {w: 2, o: 4, s: 1}.
1/21
What is prob of sequence vvd when three letters picked without replacement from {f: 2, d: 3, v: 13}?
13/136
Two letters picked without replacement from {b: 3, m: 3}. What is prob of sequence mb?
3/10
Calculate prob of sequence ucts when four letters picked without replacement from {u: 1, m: 1, c: 1, s: 1, b: 5, t: 3}.
1/3960
Three letters picked without replacement from {r: 2, s: 5}. Give prob of sequence rss.
4/21
What is prob of sequence tr when two letters picked without replacement from rttrrrrttrtt?
3/11
Three letters picked without replacement from dnlnn. Give prob of sequence lnn.
1/10
Calculate prob of sequence cnnw when four letters picked without replacement from hhcwnhcwnhwp.
1/990
Two letters picked without replacement from urgyurrruiryyrd. What is prob of sequence di?
1/210
Calculate prob of sequence bbz when three letters picked without replacement from {v: 3, z: 1, c: 3, s: 1, g: 1, b: 2}.
1/495
What is prob of sequence css when three letters picked without replacement from gscsccgccrgcccvcc?
1/204
Calculate prob of sequence iij when three letters picked without replacement from tji.
0
Three letters picked without replacement from {i: 1, g: 1, o: 1, e: 2}. What is prob of sequence goi?
1/60
Calculate prob of sequence kknn when four letters picked without replacement from nkkkn.
1/10
Two letters picked without replacement from eemhi. What is prob of sequence im?
1/20
Three letters picked without replacement from {n: 7, t: 4, q: 1, r: 2, k: 3}. What is prob of sequence krk?
1/340
Three letters picked without replacement from {y: 1, b: 3, i: 2, u: 1, x: 4}. What is prob of sequence xbi?
4/165
What is prob of sequence ana when three letters picked without replacement from nnanaaa?
6/35
Calculate prob of sequence ci when two letters picked without replacement from zziezcizzzczizizzzz.
4/171
Three letters picked without replacement from gtgnngggtgggeeeggng. Give prob of sequence gge.
55/969
Two letters picked without replacement from xgixpxigpxxgggxxx. Give prob of sequence px.
1/17
Four letters picked without replacement from {g: 2, j: 6, w: 3, h: 4, s: 3}. What is prob of sequence sjsh?
1/510
What is prob of sequence dnd when three letters picked without replacement from {d: 2, h: 1, n: 2}?
1/15
Calculate prob of sequence eo when two letters picked without replacement from {e: 3, d: 3, a: 1, o: 7}.
3/26
Three letters picked without replacement from {k: 1, m: 1, y: 1, b: 2, t: 1, p: 1}. What is prob of sequence tky?
1/210
What is prob of sequence avvn when four letters picked without replacement from nvnonanvavdn?
1/198
Two letters picked without replacement from {h: 1, m: 1, o: 2, a: 1}. What is prob of sequence am?
1/20
Four letters picked without replacement from {y: 2, v: 1, a: 1, s: 1, m: 1, n: 1}. What is prob of sequence masn?
1/840
What is prob of sequence djjj when four letters picked without replacement from {j: 4, d: 16}?
16/4845
Three letters picked without replacement from {k: 1, x: 1, p: 1}. Give prob of sequence kpx.
1/6
Calculate prob of sequence ulbu when four letters picked without replacement from qubluluquqmu.
1/297
Three letters picked without replacement from pllllllllllll. What is prob of sequence llp?
1/13
What is prob of sequence ta when two letters picked without replacement from ttttauttt?
7/72
What is prob of sequence ln when two letters picked without replacement from {y: 1, j: 2, i: 1, l: 1, n: 2}?
1/21
Four letters picked without replacement from ttmbtmmb. Give prob of sequence bmtm.
3/140
What is prob of sequence vte when three letters picked without replacement from vtcwesw?
1/210
Calculate prob of sequence utuu when four letters picked without replacement from tttuttutttuttttutttt.
16/4845
Four letters picked without replacement from yyaaayauuya. What is prob of sequence yyay?
1/66
Calculate prob of sequence ff when two letters picked without replacement from {y: 1, f: 7, h: 10}.
7/51
Four letters picked without replacement from hhmcnnnhtnjthhnhnj. Give prob of sequence chmt.
1/6120
Calculate prob of sequence eues when four letters picked without replacement from {u: 2, s: 5, e: 4}.
1/66
Four letters picked without replacement from {k: 4, c: 2}. Give prob of sequence kkck.
2/15
Four letters picked without replacement from vtvvtttvtvtvvt. Give prob of sequence tvtv.
21/286
Calculate prob of sequence ijj when three letters picked without replacement from ijijiiiiiiijiiijjj.
5/68
Calculate prob of sequence pr when two letters picked without replacement from rkssskklekkpk.
1/156
Four letters picked without replacement from {w: 3, o: 4, j: 4}. What is prob of sequence wjow?
2/165
Calculate prob of sequence ewee when four letters picked without replacement from {w: 2, e: 8}.
2/15
Four letters picked without replacement from omopmiompoioiooooomp. What is prob of sequence pipp?
1/6460
Two letters picked without replacement from {o: 1, j: 1, e: 1, d: 1, y: 1, c: 2}. What is prob of sequence jy?
1/42
Two letters picked without replacement from {g: 2, k: 1, v: 3, n: 2, o: 4}. Give prob of sequence oo.
1/11
Calculate prob of sequence yl when two letters picked without replacement from {p: 2, l: 1, y: 1}.
1/12
Four letters picked without replacement from {r: 4, v: 3, x: 2}. What is prob of sequence vrrr?
1/42
Calculate prob of sequence ssh when three letters picked without replacement from {h: 4, m: 1, s: 2}.
4/105
Two letters picked without replacement from {c: 1, m: 4, e: 1, f: 4, y: 10}. Give prob of sequence ff.
3/95
Calculate prob of sequence ww when two letters picked without replacement from xxwmmxmxxxwmxxxy.
1/120
What is prob of sequence gg when two letters picked without replacement from {g: 3, e: 4}?
1/7
Two letters picked without replacement from dseeedllxslldedlse. Give prob of sequence ds.
2/51
Three letters picked without replacement from rqr. What is prob of sequence rrq?
1/3
What is prob of sequence kn when two letters picked without replacement from nmknknknkk?
2/9
Three letters picked without replacement from {t: 1, l: | {
"pile_set_name": "DM Mathematics"
} |
the x'th term of 163, 403, 641, 877, 1111, 1343, 1573?
-x**2 + 243*x - 79
What is the j'th term of 217, 227, 241, 259, 281, 307, 337?
2*j**2 + 4*j + 211
What is the r'th term of -611, -1300, -2139, -3206, -4579, -6336?
-13*r**3 + 3*r**2 - 607*r + 6
What is the i'th term of 2, 27, 114, 299, 618, 1107, 1802, 2739?
6*i**3 - 5*i**2 - 2*i + 3
What is the c'th term of -8483030, -8483031, -8483032, -8483033, -8483034?
-c - 8483029
What is the z'th term of -3532, -3522, -3512, -3496, -3468, -3422, -3352, -3252?
z**3 - 6*z**2 + 21*z - 3548
What is the g'th term of 140, 45, -48, -139, -228, -315, -400?
g**2 - 98*g + 237
What is the q'th term of 83, 111, 5, -301, -873, -1777, -3079, -4845?
-11*q**3 - q**2 + 108*q - 13
What is the s'th term of 8486, 16953, 25420, 33887, 42354?
8467*s + 19
What is the c'th term of 53126, 53144, 53188, 53270, 53402?
2*c**3 + c**2 + c + 53122
What is the a'th term of -9297, -9294, -9291, -9288, -9285, -9282?
3*a - 9300
What is the a'th term of 118, 793, 1918, 3493, 5518?
225*a**2 - 107
What is the f'th term of 15463, 15487, 15511?
24*f + 15439
What is the d'th term of 198, 567, 938, 1311, 1686?
d**2 + 366*d - 169
What is the p'th term of 1847, 1912, 1977?
65*p + 1782
What is the b'th term of -350, -602, -1030, -1640, -2438?
-b**3 - 82*b**2 + b - 268
What is the w'th term of 82, 43, -114, -389, -782, -1293, -1922?
-59*w**2 + 138*w + 3
What is the o'th term of -1670415, -1670413, -1670411?
2*o - 1670417
What is the u'th term of -65, -168, -295, -446, -621, -820, -1043?
-12*u**2 - 67*u + 14
What is the n'th term of 273, 1307, 3043, 5493, 8669, 12583?
2*n**3 + 339*n**2 + 3*n - 71
What is the c'th term of -17069, -17071, -17073?
-2*c - 17067
What is the d'th term of 14423, 28841, 43259, 57677, 72095?
14418*d + 5
What is the t'th term of 170, 651, 1442, 2531, 3906, 5555?
-2*t**3 + 167*t**2 - 6*t + 11
What is the o'th term of 14335, 14332, 14329?
-3*o + 14338
What is the v'th term of -724, -1423, -2122, -2821, -3520?
-699*v - 25
What is the x'th term of -6993, -14666, -22341, -30018, -37697, -45378?
-x**2 - 7670*x + 678
What is the q'th term of 646, 654, 664, 676, 690, 706?
q**2 + 5*q + 640
What is the n'th term of -28211, -28208, -28205, -28202, -28199, -28196?
3*n - 28214
What is the c'th term of 1365775, 2731553, 4097331, 5463109?
1365778*c - 3
What is the y'th term of 258, 165, 20, -177, -426, -727, -1080?
-26*y**2 - 15*y + 299
What is the z'th term of 13935, 55723, 125369, 222873?
13929*z**2 + z + 5
What is the k'th term of -440, -409, -366, -317, -268?
-k**3 + 12*k**2 + 2*k - 453
What is the v'th term of 382, 3522, 12048, 28654, 56034, 96882, 153892, 229758?
449*v**3 - v**2 - 66
What is the w'th term of 1466, 2535, 3606, 4679, 5754?
w**2 + 1066*w + 399
What is the f'th term of -17, -45, -135, -323, -645, -1137?
-6*f**3 + 5*f**2 - f - 15
What is the q'th term of 63227, 63225, 63223?
-2*q + 63229
What is the g'th term of 139, 1001, 3339, 7891, 15395?
123*g**3 + g + 15
What is the r'th term of 1240, 2467, 3662, 4825?
-16*r**2 + 1275*r - 19
What is the f'th term of -1579, -1671, -1763, -1855?
-92*f - 1487
What is the r'th term of -162, -358, -554, -750, -946, -1142?
-196*r + 34
What is the x'th term of 568, 1137, 1702, 2263, 2820?
-2*x**2 + 575*x - 5
What is the d'th term of 1304, 2401, 3498, 4595, 5692, 6789?
1097*d + 207
What is the g'th term of 6425, 12884, 19343, 25802?
6459*g - 34
What is the m'th term of -75, -100, -119, -132, -139, -140, -135?
3*m**2 - 34*m - 44
What is the k'th term of 912, 810, 538, 12, -852?
-14*k**3 - k**2 - k + 928
What is the d'th term of -5921, -23745, -53477, -95117, -148665, -214121?
-5954*d**2 + 38*d - 5
What is the l'th term of 868, 3444, 7714, 13660, 21264, 30508, 41374, 53844?
-3*l**3 + 865*l**2 + 2*l + 4
What is the t'th term of -65861, -131724, -197585, -263444, -329301, -395156, -461009?
t**2 - 65866*t + 4
What is the h'th term of -231, -682, -1351, -2238, -3343?
-109*h**2 - 124*h + 2
What is the l'th term of 24775, 49546, 74319, 99094, 123871, 148650, 173431?
l**2 + 24768*l + 6
What is the s'th term of -113, -177, -223, -245, -237?
s**3 + 3*s**2 - 80*s - 37
What is the i'th term of 288, 2402, 8162, 19392, 37916, 65558?
304*i**3 - i**2 - 11*i - 4
What is the p'th term of -21053, -21013, -20973, -20933?
40*p - 21093
What is the k'th term of -408, -1515, -3364, -5961, -9312?
-k**3 - 365*k**2 - 5*k - 37
What is the n'th term of 502, 490, 486, 490?
4*n**2 - 24*n + 522
What is the z'th term of 2716, 5744, 9080, 12724, 16676, 20936?
154*z**2 + 2566*z - 4
What is the b'th term of -74, -93, -182, -377, -714, -1229, -1958?
-6*b**3 + b**2 + 20*b - 89
What is the w'th term of -184, -708, -1570, -2770, -4308, -6184, -8398?
-169*w**2 - 17*w + 2
What is the y'th term of 633, 459, 285, 111?
-174*y + 807
What is the j'th term of 77002, 154001, 231002, 308005, 385010, 462017?
j**2 + 76996*j + 5
What is the d'th term of 553, 329, 105, -119?
-224*d + 777
What is the y'th term of -7002, -7023, -7054, -7095, -7146?
-5*y**2 - 6*y - 6991
What is the y'th term of 2194, 2180, 2160, 2134, 2102?
-3*y**2 - 5*y + 2202
What is the r'th term of 9508, 9509, 9510?
r + 9507
What is the a'th term of -562, -390, 80, 998, 2514, 4778?
25*a**3 - a**2 - 586
What is the r'th term of -13840, -27728, -41650, -55624, -69668?
-3*r**3 + r**2 - 13870*r + 32
What is the d'th term of -375, -300, -225, -150, -75?
75*d - 450
What is the k'th term of -8332, -8331, -8316, -8281, -8220, -8127, -7996?
k**3 + k**2 - 9*k - 8325
What is the f'th term of 17277, 34603, 51929, 69255, 86581, 103907?
17326*f - 49
What is the l'th term of 32092, 32076, 32060?
-16*l + 32108
What is the p'th term of -17, 758, 2047, 3850?
257*p**2 + 4*p - 278
What is the a'th term of 860, 3383, 7570, 13421?
832*a**2 + 27*a + 1
What is the w'th term of 434, 685, 936, 1187?
251*w + 183
What is the c'th term of -102, -216, -350, -510, -702, -932, -1206?
-c**3 - 4*c**2 - 95*c - 2
What is the p'th term of 126078, 126061, 126044, 126027, 126010, 125993?
-17*p + 126095
What is the r'th term of 2607, 5175, 7759, 10365, 12999, 15667, 18375, 21129?
r**3 + 2*r**2 + 2555*r + 49
What is the z'th term of -2656, -2638, -2608, -2566?
6*z**2 - 2662
What is the o'th term of -62039, -62038, -62037, -62036?
o - 62040
What is the k'th term of 21422, 21365, 21304, 21239?
-2*k**2 - 51*k + 21475
What is the s'th term of 327, 665, 1009, 1359?
3*s**2 + 329*s - 5
What is the q'th term of 673720, 673717, 673712, 673705, 673696?
-q**2 + 673721
What is the r'th term of -29943, -59882, -89821, -119760?
-29939*r - 4
What is the z'th term of -125, -467, -1067, -1949, -3137, -4655, -6527, -8777?
-4*z**3 - 105*z**2 + z - 17
What is the i'th term of -52, -50, -10, 86, 256?
3*i**3 + i**2 - 22*i - 34
What is the j'th term of -241, -302, -377, -472, -593?
-j**3 - j**2 - 51*j - 188
What is the n'th term of -266377, -266379, -266379, -266377, -266373, -266367?
n**2 - 5*n - 266373
What is the w'th term of 331, 696, 1081, 1492, 1935, 2416, 2941?
w**3 + 4*w**2 + 346*w - 20
What is the q'th term of 1069, 2170, 3271, 4372?
1101*q - 32
What is the k'th term of 538, 4288, 14500, 34414, 67270, 116308?
540*k**3 - 9*k**2 - 3*k + 10
What is the p'th term of 4411, 4413, 4413, 4411, 4407, 4401?
-p**2 + 5*p + 4407
What is the v'th term of 947, 2350, 3753?
1403*v - 456
What is the d'th term of 815, 652, 379, -4, -497, -1100?
-55*d**2 + 2*d + 868
What is the k'th term of -34954, -69907, -104860, -139813, -174766, -209719?
-34953*k - 1
What is the p'th term of 12829, 51636, 116315, 206866, 323289?
12936*p**2 - p - 106
What is the f'th term of 48451, 48455, 48459?
4*f + 48447
What is the u'th term of -532, -4289, -14490, -34357, -67112, -115977, -184174, -274925?
-537*u**3 + 2*u + 3
What is the r'th term of -57780, -57788, -57796, -57804, -57812, -57820?
-8*r - 57772
What is the s'th term of -1590, -1539, -1460, -1353, -1218?
14*s**2 + 9*s - 1613
What is the c'th term of 89031, 89022, 89003, 88968, 88911, 88826?
-c**3 + c**2 - 5*c + 89036
What is the p'th term of 834, 811, 732, 567, 286, -141, -744?
-5*p**3 + 2*p**2 + 6*p + 831
What is the r'th term of -122, -323, -524, -725, -926, -1127?
-201*r + 79
What is the y'th term of -2825, -5622, -8383, -11090, -13725, -16270, -18707, -21018?
3*y**3 - 2818*y - 10
What is the s'th ter | {
"pile_set_name": "DM Mathematics"
} |
1)/9
Let g = -77 - -81. Let 1/3*n**2 - 1/3*n**3 + 0 + 1/3*n - 1/3*n**g = 0. Calculate n.
-1, 0, 1
Let a(x) be the third derivative of 9*x**6/40 + 7*x**5/5 + 21*x**4/8 + x**3 + 5*x**2 - x. Determine r so that a(r) = 0.
-2, -1, -1/9
Let i be 46/(-161) + 68/42. Factor -i*p**2 - 7/6*p + 1/6*p**5 - 1/3 + 1/3*p**4 - 1/3*p**3.
(p - 2)*(p + 1)**4/6
Let f be 5/((-10)/(-6)) - 3. Let o(m) be the second derivative of -1/6*m**4 + 0*m**5 + 0 + 1/15*m**6 + m + 0*m**3 + f*m**2. Factor o(r).
2*r**2*(r - 1)*(r + 1)
Let l be (-1)/((0 - -1)/(-6)). Suppose 90 + 27 = 5*j + 3*r, -5*j - 4*r = -121. Factor l*g**2 - 13*g - j*g**3 - 2*g**4 + 13*g - 10*g**4.
-3*g**2*(g + 2)*(4*g - 1)
Let t(n) be the third derivative of -n**8/60480 - n**7/5040 - n**6/1080 - n**5/30 - 2*n**2. Let d(p) be the third derivative of t(p). Factor d(q).
-(q + 1)*(q + 2)/3
Suppose 7 = 3*x - 2*a, -4*x - x + a = -14. Let w(q) be the third derivative of 1/330*q**6 + 0*q + 0*q**4 + 0 - q**2 - 1/33*q**x + 1/110*q**5. Factor w(z).
2*(z + 1)**2*(2*z - 1)/11
Let m be (-48)/(-126) + (-18)/(-14) + -1. Let v = 79/15 - 23/5. Let 4/3*q**2 - v - m*q = 0. Calculate q.
-1/2, 1
Let g be (-2)/(-12)*3*2/3. Factor k**3 + 2/3 - g*k**4 - 1/3*k**2 - k.
-(k - 2)*(k - 1)**2*(k + 1)/3
Let b(c) = -12*c**3 - 9*c**2 + 12*c + 9. Let l(k) = -3*k**3 - 2*k**2 + 3*k + 2. Let o(f) = -4*b(f) + 15*l(f). Factor o(q).
3*(q - 1)*(q + 1)*(q + 2)
Let i(s) be the second derivative of 7*s**5/90 - 8*s**4/27 + 11*s**3/27 - 2*s**2/9 - 22*s. Factor i(z).
2*(z - 1)**2*(7*z - 2)/9
Let n be (2/(-30))/((-1)/6). Factor -n*f + 2/5*f**2 + 2/5*f**3 - 2/5.
2*(f - 1)*(f + 1)**2/5
Let y(f) = f + 8. Let j be -7 + 1/1 + 1. Let a be y(j). Factor a + t**2 - 3 - t.
t*(t - 1)
Suppose -a + 48 = -40. Let u = a + -260/3. Factor 4/3*y + 0 - u*y**2 + 1/3*y**3.
y*(y - 2)**2/3
Let l be 14/(-91) - (-72)/(-39) - -7. Let q(u) be the third derivative of 0*u**3 + 3*u**2 + 1/300*u**6 + 0*u**l + 0 + 1/525*u**7 + 0*u**4 + 0*u. Factor q(g).
2*g**3*(g + 1)/5
Let q = 197 - 1377/7. Factor 8/7*p**3 - 6/7*p + 0*p**2 - q.
2*(p - 1)*(2*p + 1)**2/7
Let p be 0 + ((-20)/(-4) - 2 - 3). Let y(a) be the second derivative of p*a**2 + 2*a - 1/10*a**5 + 2/21*a**3 + 5/42*a**4 + 0. Factor y(z).
-2*z*(z - 1)*(7*z + 2)/7
Let b(d) be the second derivative of -d**6/50 + d**5/100 + 2*d**4/15 + 2*d**3/15 - 5*d. Factor b(p).
-p*(p - 2)*(p + 1)*(3*p + 2)/5
Let k be 210/55 + -4 + (-46)/(-11). Let l(u) be the third derivative of -1/360*u**6 - 3*u**2 + 1/180*u**5 - 1/18*u**3 + 0*u + 0 + 1/72*u**k. Factor l(i).
-(i - 1)**2*(i + 1)/3
Let c(h) = -14*h**3 + 12*h**2 + 12*h. Let o(q) = -5*q**3 + 4*q**2 + 4*q. Let r(x) = 3*c(x) - 10*o(x). Find y such that r(y) = 0.
-1/2, 0, 1
Suppose -2*g = 2*w - 6, -5 = -3*g - 6*w + w. Solve -5*j**2 + 41*j**2 - 22*j**4 - 2*j**4 - 18*j**g - 16 - 24*j + 46*j**3 = 0 for j.
-2, -2/3, 1
Factor -2/5*n**4 + 0 + 6/5*n**3 - 4/5*n**2 + 0*n.
-2*n**2*(n - 2)*(n - 1)/5
Let n(x) be the first derivative of x**4/38 + 8*x**3/57 + 5*x**2/19 + 4*x/19 - 21. Find o such that n(o) = 0.
-2, -1
Let n(z) be the third derivative of 1/150*z**5 - 1/100*z**6 + 0 + 3*z**2 - 1/840*z**8 + 0*z**3 + 0*z**4 + 1/175*z**7 + 0*z. Find g, given that n(g) = 0.
0, 1
Let w = 28 + -26. Factor 1/2*f + 3/2*f**3 - 3/2*f**w - 1/2*f**4 + 0.
-f*(f - 1)**3/2
Let j = -173/7 + 25. Determine z, given that -j*z - 2/7 + 2/7*z**2 + 2/7*z**3 = 0.
-1, 1
Let z(t) be the first derivative of 3*t**5/5 + 3*t**4/2 - 3*t**2 - 3*t + 9. Factor z(m).
3*(m - 1)*(m + 1)**3
Suppose 0 = -12*z - 12*z + 5*z. Suppose -1/3*o**3 + 5/6*o**4 - 1/2*o**5 + 0 + 0*o**2 + z*o = 0. Calculate o.
0, 2/3, 1
Let p = -9/152 - -179/456. Let -2/3*k**2 - 1/6*k + 1/3*k**4 + 1/3 - 1/6*k**5 + p*k**3 = 0. Calculate k.
-1, 1, 2
Suppose 5*v = 3*t - 6, t = 5*v - 1 + 3. Find f such that -1/2*f**4 - 1/2*f**5 + 0 + 3/2*f**3 + f + 5/2*f**t = 0.
-1, 0, 2
Let w(d) = -481*d**3 + 32*d**2 + 84*d + 7. Let j(g) = -480*g**3 + 33*g**2 + 84*g + 6. Let b(u) = 5*j(u) - 6*w(u). Factor b(k).
3*(2*k - 1)*(9*k + 2)**2
Let l(s) be the first derivative of -s**6/2 + 3*s**5/5 + 3*s**4/4 - s**3 - 10. Factor l(k).
-3*k**2*(k - 1)**2*(k + 1)
Let m(u) be the first derivative of -u**5/390 + u**3/39 - 5*u**2/2 + 4. Let h(p) be the second derivative of m(p). Factor h(z).
-2*(z - 1)*(z + 1)/13
Let i = -9 + 37/4. Factor 0*x + i*x**3 - 1/4*x**2 + 0.
x**2*(x - 1)/4
Let u(d) = -6*d. Let p be u(-2). Let z be (-238)/51*p/(-14). Let 0*s - 2/5*s**2 + 0 + 2/5*s**z + 0*s**3 = 0. What is s?
-1, 0, 1
Let i(f) be the first derivative of -45*f**4/2 - 38*f**3 - 64*f**2/5 - 8*f/5 + 15. Factor i(z).
-2*(z + 1)*(15*z + 2)**2/5
Let u(i) be the first derivative of i**5/150 - i**4/10 + 3*i**3/5 - 2*i**2 + 1. Let v(l) be the second derivative of u(l). Find f such that v(f) = 0.
3
Let -6/5*x - 1/5*x**2 - 9/5 = 0. What is x?
-3
Factor -3*x**3 + 0*x + x**3 - 2*x - 4*x**2.
-2*x*(x + 1)**2
Let z be 2/19 - 2244/(-3230). Determine j so that 0 + 8/5*j**3 + z*j + 2/5*j**4 + 2*j**2 = 0.
-2, -1, 0
Solve 457*o**3 + 2*o**2 - 2 + 0 - o - 456*o**3 = 0 for o.
-2, -1, 1
Let p(o) be the second derivative of o**7/105 - o**6/50 + o**4/60 - 3*o. Factor p(u).
u**2*(u - 1)**2*(2*u + 1)/5
Factor -3*z + 6*z**2 - 4*z**3 + 5*z**3 + 12*z.
z*(z + 3)**2
Solve 4/5*g**2 + 2/5*g**3 + 0*g + 0 = 0 for g.
-2, 0
Let a(m) be the third derivative of -m**2 + 0*m + 1/96*m**6 + 0*m**4 - 1/280*m**7 - 1/120*m**5 + 0 + 0*m**3. Let a(v) = 0. What is v?
0, 2/3, 1
Suppose -3 = -2*p - 11. Let u be (p - -11)*(2 - 1). What is z in -2*z**2 + u*z**3 - 3*z**4 - z**4 - z**4 = 0?
0, 2/5, 1
Let k = 8 + -8. Suppose k*j = -3*j. Factor -6 + 4*z + 6*z - z - 3*z**2 + j.
-3*(z - 2)*(z - 1)
Let s(m) be the first derivative of -m**4/4 + m**3/3 - 6. What is w in s(w) = 0?
0, 1
Factor 18/7 - 16/7*i**3 - 48/7*i + 44/7*i**2 + 2/7*i**4.
2*(i - 3)**2*(i - 1)**2/7
Let w(l) be the third derivative of -l**8/30240 + l**6/3240 + 3*l**4/8 - 4*l**2. Let g(s) be the second derivative of w(s). Determine v so that g(v) = 0.
-1, 0, 1
Let s(i) be the second derivative of -i**7/21 - i**6/5 - 3*i**5/10 - i**4/6 - 3*i. Factor s(b).
-2*b**2*(b + 1)**3
Let m(z) = -4*z**2 + 2*z - 2. Let p(w) = 17*w**2 - 7*w + 8. Let d(i) = 9*m(i) + 2*p(i). Find r, given that d(r) = 0.
1
Let q be ((-14)/(-21))/((-2)/(-4)) + -1. Find a, given that 1/3 + 0*a**2 - 2/3*a - q*a**4 + 2/3*a**3 = 0.
-1, 1
Factor -3*s - s**5 - 16*s**2 - 12*s**3 - 16*s**2 + 22*s**2 - 6*s**4.
-s*(s + 1)**3*(s + 3)
Let i = 5455/7 + -779. Solve -2/7*j + 0 - i*j**2 = 0.
-1, 0
Let p(r) be the second derivative of -r**4/48 + 8*r. Factor p(n).
-n**2/4
Let a(u) be the third derivative of -1/36*u**4 + 1/60*u**5 + 0 + 0*u - 1/360*u**6 + 0*u**3 - 2*u**2. Factor a(y).
-y*(y - 2)*(y - 1)/3
Factor 0 - 1/5*a**2 - 4/5*a + 1/5*a**4 + 4/5*a**3.
a*(a - 1)*(a + 1)*(a + 4)/5
Let y(v) be the third derivative of 1/20*v**5 + 1/2*v**3 + 0*v + 0 + 2*v**2 + 1/4*v**4. Let y(t) = 0. Calculate t.
-1
Suppose 0 = 4*f - 1 + 5. Let n be 2/(-10) + f/(-5). Factor -1/2*y + n - 1/2*y**2.
-y*(y + 1)/2
Let v(q) be the first derivative of -q**4 - 13. Solve v(z) = 0 for z.
0
Factor 3*c + 12/5*c**2 + 6/5 + 3/5*c**3.
3*(c + 1)**2*(c + 2)/5
Let h(f) be the second derivative of 3*f**4/5 - 8*f**3/3 + 8*f**2/5 + 4*f - 5. Factor h(q).
4*(q - 2)*(9*q - 2)/5
Let h(j) be the third derivative of j**6/780 + 7*j**5/390 + j**4/26 - 41*j**2. Factor h(k).
2*k*(k + 1)*(k + 6)/13
Let u(a) be the second derivative of -a**6/240 - a**5/80 - a**3/6 - a. Let y(f) be the second derivative of u(f). Factor y(x).
-3*x*(x + 1)/2
Suppose 2 = p - 1. Factor -3*h**5 - 16*h**2 + 3*h**4 - 2*h**p + 5*h**3 + 13*h**2.
-3*h**2*(h - 1)**2*(h + 1)
Let p be ((-30)/9)/5*-6. Suppose -p*j + f + 11 = 0, -3 = -5*j + f + 11. Factor -9*t + t - 4 + 4*t**j - 5*t**2 - 5*t**3.
-(t + 1)*(t + 2)**2
Let w(h) be the third derivative of 1/20*h**5 + 0*h + h**3 - h**2 - 9/8*h**4 + 0 - 3/70*h**7 + 23/40*h**6 - 1/8*h**8. Let w(i) = 0. Calculate i.
-1, 2/7, 1/2, 1
Factor 1 + y - 1/4*y**2 - 1/4*y**3.
-(y - 2)*(y + 1)*(y + 2)/4
Let s(j) = j + 9. Let k be s(-6). Factor 3*u**2 - 9*u**4 + 13*u**3 - 2*u - u**k - 4*u.
-3*u*(u - 1)**2*(3*u + 2)
Let j = 32 + -30. Factor -1/3*i**j - 2/3*i + 0.
-i*(i + 2)/3
Let p = -741 - -5191/7. Determine n, given that 26/7*n**2 - p*n + 0 - 40/7*n**3 = 0.
0, 1/4, 2/5
Let z(q) be the first derivative of -2*q**3/7 - 10*q**2/7 - 6*q/7 | {
"pile_set_name": "DM Mathematics"
} |
08 to the nearest integer?
75
What is 10520 to the power of 1/3, to the nearest integer?
22
What is 1770685 to the power of 1/3, to the nearest integer?
121
What is 276515 to the power of 1/10, to the nearest integer?
4
What is the cube root of 41857 to the nearest integer?
35
What is 483359 to the power of 1/2, to the nearest integer?
695
What is the sixth root of 195696 to the nearest integer?
8
What is the third root of 4701612 to the nearest integer?
168
What is the square root of 9948601 to the nearest integer?
3154
What is 1312810 to the power of 1/3, to the nearest integer?
109
What is 1437816 to the power of 1/9, to the nearest integer?
5
What is 978612 to the power of 1/2, to the nearest integer?
989
What is the third root of 669452 to the nearest integer?
87
What is the fourth root of 239898 to the nearest integer?
22
What is the cube root of 87512 to the nearest integer?
44
What is the cube root of 39699 to the nearest integer?
34
What is the cube root of 2440080 to the nearest integer?
135
What is the cube root of 188780 to the nearest integer?
57
What is the cube root of 2027665 to the nearest integer?
127
What is the cube root of 2417056 to the nearest integer?
134
What is the seventh root of 1840605 to the nearest integer?
8
What is the seventh root of 240322 to the nearest integer?
6
What is the third root of 9420312 to the nearest integer?
211
What is 592176 to the power of 1/2, to the nearest integer?
770
What is 6284140 to the power of 1/9, to the nearest integer?
6
What is the cube root of 2915292 to the nearest integer?
143
What is 3287740 to the power of 1/2, to the nearest integer?
1813
What is the ninth root of 123629 to the nearest integer?
4
What is the cube root of 4503302 to the nearest integer?
165
What is 2496078 to the power of 1/2, to the nearest integer?
1580
What is 28585 to the power of 1/10, to the nearest integer?
3
What is the square root of 2414517 to the nearest integer?
1554
What is the fourth root of 4679925 to the nearest integer?
47
What is 3032211 to the power of 1/10, to the nearest integer?
4
What is 353930 to the power of 1/2, to the nearest integer?
595
What is the square root of 390963 to the nearest integer?
625
What is the fourth root of 7056003 to the nearest integer?
52
What is the third root of 2837265 to the nearest integer?
142
What is 268239 to the power of 1/3, to the nearest integer?
64
What is 5067847 to the power of 1/2, to the nearest integer?
2251
What is the tenth root of 342476 to the nearest integer?
4
What is 1754073 to the power of 1/5, to the nearest integer?
18
What is the cube root of 547917 to the nearest integer?
82
What is 6332212 to the power of 1/2, to the nearest integer?
2516
What is 144053 to the power of 1/5, to the nearest integer?
11
What is the square root of 17278185 to the nearest integer?
4157
What is the cube root of 366697 to the nearest integer?
72
What is the sixth root of 433471 to the nearest integer?
9
What is the sixth root of 408777 to the nearest integer?
9
What is 733639 to the power of 1/2, to the nearest integer?
857
What is the square root of 43326890 to the nearest integer?
6582
What is 178197 to the power of 1/2, to the nearest integer?
422
What is the fifth root of 10599816 to the nearest integer?
25
What is 1788735 to the power of 1/8, to the nearest integer?
6
What is the tenth root of 203790 to the nearest integer?
3
What is the square root of 109489 to the nearest integer?
331
What is 102043 to the power of 1/7, to the nearest integer?
5
What is 7540518 to the power of 1/2, to the nearest integer?
2746
What is the cube root of 2386136 to the nearest integer?
134
What is 333277 to the power of 1/8, to the nearest integer?
5
What is 497364 to the power of 1/4, to the nearest integer?
27
What is 3390822 to the power of 1/9, to the nearest integer?
5
What is 3791338 to the power of 1/2, to the nearest integer?
1947
What is 672094 to the power of 1/9, to the nearest integer?
4
What is the cube root of 127089 to the nearest integer?
50
What is 3875580 to the power of 1/3, to the nearest integer?
157
What is 916562 to the power of 1/9, to the nearest integer?
5
What is the cube root of 1863731 to the nearest integer?
123
What is 174868 to the power of 1/2, to the nearest integer?
418
What is the square root of 462846 to the nearest integer?
680
What is the cube root of 3323143 to the nearest integer?
149
What is the square root of 18780 to the nearest integer?
137
What is the cube root of 3963140 to the nearest integer?
158
What is 11801882 to the power of 1/2, to the nearest integer?
3435
What is 46150 to the power of 1/2, to the nearest integer?
215
What is 11711273 to the power of 1/10, to the nearest integer?
5
What is 25567429 to the power of 1/3, to the nearest integer?
295
What is the square root of 121268 to the nearest integer?
348
What is the eighth root of 479020 to the nearest integer?
5
What is 260722 to the power of 1/3, to the nearest integer?
64
What is the cube root of 32503183 to the nearest integer?
319
What is 2065508 to the power of 1/5, to the nearest integer?
18
What is the cube root of 11429951 to the nearest integer?
225
What is the cube root of 1731197 to the nearest integer?
120
What is 44818 to the power of 1/2, to the nearest integer?
212
What is 6810445 to the power of 1/2, to the nearest integer?
2610
What is 269059 to the power of 1/3, to the nearest integer?
65
What is the square root of 1786237 to the nearest integer?
1337
What is 15886 to the power of 1/3, to the nearest integer?
25
What is 1204920 to the power of 1/6, to the nearest integer?
10
What is the eighth root of 236672 to the nearest integer?
5
What is the eighth root of 7305676 to the nearest integer?
7
What is 259159 to the power of 1/2, to the nearest integer?
509
What is the square root of 996144 to the nearest integer?
998
What is 716743 to the power of 1/8, to the nearest integer?
5
What is the third root of 22875783 to the nearest integer?
284
What is 2270339 to the power of 1/2, to the nearest integer?
1507
What is the third root of 92197 to the nearest integer?
45
What is 288577 to the power of 1/2, to the nearest integer?
537
What is the third root of 168169 to the nearest integer?
55
What is the cube root of 1700360 to the nearest integer?
119
What is 719999 to the power of 1/2, to the nearest integer?
849
What is 3296626 to the power of 1/8, to the nearest integer?
7
What is the fifth root of 23371173 to the nearest integer?
30
What is the square root of 16108706 to the nearest integer?
4014
What is the third root of 16979 to the nearest integer?
26
What is 5792633 to the power of 1/10, to the nearest integer?
5
What is 1053142 to the power of 1/2, to the nearest integer?
1026
What is 77590 to the power of 1/7, to the nearest integer?
5
What is the square root of 2826140 to the nearest integer?
1681
What is 22356748 to the power of 1/3, to the nearest integer?
282
What is the third root of 13340420 to the nearest integer?
237
What is 635597 to the power of 1/3, to the nearest integer?
86
What is the cube root of 23158274 to the nearest integer?
285
What is 142854 to the power of 1/2, to the nearest integer?
378
What is the cube root of 160496 to the nearest integer?
54
What is the square root of 247916 to the nearest integer?
498
What is the third root of 1079202 to the nearest integer?
103
What is 1991840 to the power of 1/4, to the nearest integer?
38
What is the third root of 5335113 to the nearest integer?
175
What is 5601030 to the power of 1/3, to the nearest integer?
178
What is the fifth root of 164842 to the nearest integer?
11
What is the third root of 271205 to the nearest integer?
65
What is the seventh root of 401730 to the nearest integer?
6
What is the cube root of 7087037 to the nearest integer?
192
What is 68597 to the power of 1/2, to the nearest integer?
262
What is the square root of 13231525 to the nearest integer?
3638
What is the cube root of 215918 to the nearest integer?
60
What is the fourth root of 6251838 to the nearest integer?
50
What is 6324923 to the power of 1/3, to the nearest integer?
185
What is the cube root of 411075 to the nearest integer?
74
What is the ninth root of 206140 to the nearest integ | {
"pile_set_name": "DM Mathematics"
} |
divided by 23.
21
Let q = 46 - -44. What is the remainder when q is divided by 14?
6
Let i be 1 + (1 + 3 - 33). What is the remainder when 17 is divided by (21/i)/(6/(-40))?
2
Let z(m) = -23*m + 3. Let v be z(3). Let u be v/(-14) + 16/56. Suppose u*o = 256 + 129. What is the remainder when o is divided by 20?
17
Let i(d) = 81*d**2 + d + 8. Calculate the remainder when i(4) is divided by 77.
76
Suppose 22*u + y + 106 = 27*u, u - 20 = -y. Calculate the remainder when 608 is divided by u.
20
What is the remainder when 34 is divided by (-134)/(-8) + 3 - 9/(-36)?
14
Suppose w = -f - 18, -2*f + 6*w - w = 15. What is the remainder when 6/(1*f/(-80)) is divided by 5?
2
Suppose 11*t - 8*t = 162. What is the remainder when t is divided by 20?
14
Let t(k) = 3*k + 57. Calculate the remainder when t(17) is divided by (-3)/((-3)/2) + 35.
34
Let n = -132 - -155. Suppose 0 = -2*f + p + 5, 5*f = -p + 2 + 14. Suppose n = y - f*h, y + 7*h - 5 = 4*h. Calculate the remainder when 25 is divided by y.
11
Let o(g) = -g**3 + 3*g**2 - 2. Let f be o(2). Suppose 39 = f*q + q. Suppose 0 = -0*p + p - 36. Calculate the remainder when p is divided by q.
10
Suppose 5 + 11 = v. Let h = -1003 + 1047. Calculate the remainder when h is divided by v.
12
Let s = -482 - -499. Calculate the remainder when 371 is divided by s.
14
Let b = 309 + -150. What is the remainder when b is divided by 18?
15
Suppose -2*w - 12 = w. Let l(p) = -3*p - 8. Let x be l(w). What is the remainder when 23 is divided by -1*x*(-1 + 0)?
3
Suppose 3*i - 21 = 3*p - 411, -2*p - 5*i = -288. What is the remainder when p is divided by 82?
52
Let s(w) = 20*w**2 + 1. Calculate the remainder when s(1) is divided by 5.
1
Calculate the remainder when 295 is divided by 2 + -2 + -6 + 18 + 0.
7
Let n(b) = -b**3 + 2*b**2 - b. Let z be n(1). Let c(s) = s**3 + s**2 - 2*s + 37. Let p be c(z). Let k = -20 + p. What is the remainder when 50 is divided by k?
16
Suppose 3*v = 6*v - 27. Let k = 7 + v. What is the remainder when ((-2)/(-4))/((-8)/(-976)) is divided by k?
13
Suppose 9*p = 8*p + 2. Let s be (14/(-4))/((-3)/(-12)). What is the remainder when 21 is divided by (p - s)/(14/7)?
5
Let q = 1986 + -1901. What is the remainder when q is divided by 28?
1
Let t(i) = 3*i - 33*i**2 - 3*i + 1 + 87*i**2. Let x be t(2). Suppose -5*o - 5*c + 181 = -84, 4*o - c = x. Calculate the remainder when o is divided by 14.
12
Let x = -10 - 12. What is the remainder when (-302)/(-15) - x/(-165) is divided by (7/3)/(6/18)?
6
Suppose 2*f + 28 = -2*s + 90, -5*f + 101 = 3*s. Let p(l) = -l - 3. Let c be p(-6). Calculate the remainder when (-472)/(-36) - c/s is divided by 4.
1
Let h = 72 - 2. Calculate the remainder when h is divided by 175/(-70)*((-144)/10 + 0).
34
Suppose -5*f + 13*f - 144 = 0. What is the remainder when f is divided by (4/(-6) + 0)*(-105)/14?
3
Let j be 121 - (-1 - (1 - 1)). What is the remainder when 79 is divided by (-9)/(-12) - j/(-8)?
15
Let j = 104 + -74. What is the remainder when 87 is divided by j?
27
Let c be (((-1647)/6)/(-9))/((-3)/(-6)). Let f = -1 + c. Calculate the remainder when f is divided by 21.
18
Suppose 0 = -43*z + 32*z + 14124. What is the remainder when z is divided by 19?
11
Let s = 12 + 47. Suppose -3*j - 8 = 3*v - s, 5*j = 3*v + 101. What is the remainder when 113 is divided by j?
18
Let v = 1377 + -981. Calculate the remainder when v is divided by 40.
36
Let f = 239 + -228. Calculate the remainder when 48 is divided by f.
4
Suppose 0 = -2*x + 5*d - 2*d + 3, 5*x = d + 14. Suppose -f = 2*q - 24, 3*f - 52 = q + x*q. Let h = 3 - -36. What is the remainder when h is divided by f?
19
Suppose i = -5*i + 30. Calculate the remainder when 383/7 + 4/14 is divided by 96/i - 2/10.
17
Let m = 53 - 33. What is the remainder when 478/8 + 1/4 + -2 is divided by m?
18
Suppose 4*p = 12, 4*n = n + 2*p + 141. What is the remainder when 2/(-6)*(-3 - (6 + 570)) is divided by n?
46
Let x be 1 - ((2 - 6) + -11). Suppose -2*h + x = 2*c, 10 = 2*c + h - 5*h. Calculate the remainder when 20 is divided by c.
6
Calculate the remainder when 138 is divided by -31*(16/(-4))/4.
14
Let s(k) = 6*k + 1. Let f be (-20)/(-6)*42/35. What is the remainder when s(2) is divided by -1 - (-5)/(f + -3)?
1
Let w(z) = -z**3 - 10*z**2 - 17*z + 22. What is the remainder when 117 is divided by w(-8)?
27
Let w = 33 - 1. Let r = -409 - -426. Calculate the remainder when w is divided by r.
15
Suppose -133 - 42 = -25*g. Calculate the remainder when 13 is divided by g.
6
Let l(o) = o**2 + 4*o - 112. What is the remainder when 43 is divided by l(9)?
3
Suppose -3*u - 2*c + 245 - 6 = 0, 0 = -5*c - 25. Suppose 3*o - u = -26. What is the remainder when o + 3/(6/(-8)) is divided by 9?
6
Let p(r) be the third derivative of r**4/24 - r**3 + 9*r**2. What is the remainder when 57 is divided by p(22)?
9
Let i be (36 + 0)*5/20. Calculate the remainder when 57 is divided by (-1 - i/(-6))*58.
28
Let q be (-6)/(-4)*(-80)/30. Calculate the remainder when 27 - ((-4)/q - 4) is divided by 8.
6
Let s(h) = 7*h - 137. Calculate the remainder when 76 is divided by s(24).
14
Suppose 76*v - 2009 = 35*v. What is the remainder when v is divided by ((-78)/4)/(6/(-8))?
23
Let n(c) be the first derivative of -c**4/4 + 16*c**3/3 - 13*c**2/2 + 17*c - 6. Calculate the remainder when n(15) is divided by 17.
13
Suppose 4*w + w = -c + 75, 4*w - 4*c - 84 = 0. Let j = w - 16. Let u = 19 - j. What is the remainder when 35 is divided by u?
16
Let w(y) be the first derivative of y**3/3 - y**2/2 - y - 225. Suppose -n - 15 = 4*n. What is the remainder when w(n) is divided by 7?
4
Let l be (-1)/(5/((-15)/(-3))). What is the remainder when (l + -1)/((8/(-110))/4) is divided by 23?
18
Suppose 0 = o - 0*o - 4. Let b(w) = 26 + 8*w - 44 - 4*w. What is the remainder when b(8) is divided by o?
2
Suppose 2*d + 3*g = 7*d - 559, 4*d - 446 = 3*g. Calculate the remainder when d is divided by 29.
26
Suppose 4*g - 5*z = 1326, -5*z - 312 - 346 = -2*g. Let i = -224 + g. Calculate the remainder when i is divided by 19.
15
Let r(y) be the first derivative of 5*y**3/3 + 11*y**2/2 - 4*y - 5. Let l be r(7). Calculate the remainder when (-1 + -1)*l/(-12) is divided by 18.
17
Let i(s) = s + 78. Let y = -35 + 52. What is the remainder when i(-47) is divided by y?
14
Let u = -241 + 255. Calculate the remainder when 14 is divided by u.
0
Let d(k) = -3*k - 4. Suppose -83 = 3*i + 3*f + 7, 2*f - 10 = 0. What is the remainder when (-325)/i - ((-4)/7)/(-2) is divided by d(-3)?
4
Suppose 0 = u - 3*u + 370. What is the remainder when u is divided by 62?
61
Let g = -94 + 155. Let f = -5 - -9. Suppose -f*k + 4*n + 68 = 0, 4*n = -4*k + 5*k - 5. Calculate the remainder when g is divided by k.
19
Let v = -33 - -47. Suppose 2*o - 2*m - 34 = 0, o + 15*m + 15 = 12*m. Calculate the remainder when v is divided by o.
5
Suppose m - 3*f - 8 = -1, -2*f + 43 = 3*m. Let v(u) = -21*u - 4. What is the remainder when v(-2) is divided by m?
12
Suppose 5*g = 7 + 28. Let z(j) = 13*j - 10. What is the remainder when z(5) is divided by g?
6
Let c be (-6)/4*10/(-3). Suppose -n = -c*y - 0*y - 64, 4*n - 208 = 4*y. What is the remainder when n is divided by 13?
10
Let a = -7 + 11. Let o = a + -9. Calculate the remainder when (15 - (o + 2))/1 is divided by 7.
4
Suppose -6*i = -35 - 445. Calculate the remainder when i is divided by 79.
1
Let y(f) = f**3 - 2*f**2 + 4*f + 13. What is the remainder when y(0) is divided by 7?
6
Suppose 3*g + 4*i + 28 = 102, i = -4*g + 77. What is the remainder when 35 is divided by g?
17
Suppose 245 - 92 = 4*y - d, -y - 3*d + 48 = 0. Let w be 0*(-1 - -2) + 29. Suppose 5*m - w - 21 = 0. Calculate the remainder when y is divided by m.
9
Suppose -225 - 4014 = -9*n. What is the remainder when 476 is divided by n?
5
Suppose -4*b + 4*z + 168 = 0, z - 255 + 69 = -5*b. Let d(t) = -t**2 + 12*t - 6. Calculate the remainder when b is divided by d(10).
10
Let z be (6/(-1))/((-3)/8). Let v = -12 + z. Suppose 4*g + 48 = v*b, 0 = -2*b - 5*g + 15 + 2. What is the remainder when 42 is divided by b?
9
Let j = -1407 - -1418. What is the remainder when 395 is divided by j?
10
Suppose -2 = -2*p + p. Suppose -d + 34 = 4*g, -2*g = -p*d - g + 23. Let n(s) = -8*s - 7. Calculate the remainder when n(-4) is divided by d.
11
Let j(r) = -r**3 + 6*r**2 + 13* | {
"pile_set_name": "DM Mathematics"
} |
3749?
5174
What is the next term in 14400, 57519, 129360, 229905, 359136, 517035, 703584?
918765
What is the next term in 5108, 8082, 11018, 13898, 16704, 19418, 22022?
24498
What comes next: 264323145, 528646291, 792969437, 1057292583, 1321615729, 1585938875?
1850262021
What comes next: 27568, 27059, 25684, 23011, 18608?
12043
What is next in -183, -683, -1731, -3591, -6527, -10803, -16683?
-24431
What is next in -128226, -256539, -384924, -513381, -641910, -770511, -899184?
-1027929
What is the next term in -396823, -793653, -1190481, -1587307?
-1984131
What is the next term in 4325959, 8651938, 12977917?
17303896
What is the next term in 163758, 162865, 161972?
161079
What comes next: -6096, -6983, -9400, -14115, -21896, -33511, -49728?
-71315
What comes next: 9331069, 18662137, 27993205, 37324273, 46655341?
55986409
What comes next: 25544672, 25544675, 25544678, 25544681, 25544684, 25544687?
25544690
What is the next term in -157575, -1260499, -4254153, -10083903, -19695115, -34033155, -54043389?
-80671183
What is next in 923, 42, -1431, -3496, -6153?
-9402
What comes next: -1102839, -1102825, -1102817, -1102821, -1102843, -1102889?
-1102965
What comes next: 3270, 3294, 3342, 3414, 3510, 3630, 3774?
3942
What is the next term in -748677, -1496129, -2243581?
-2991033
What comes next: 287198, 287204, 287212, 287222, 287234?
287248
What comes next: -2702641, -2702865, -2703075, -2703265, -2703429, -2703561, -2703655, -2703705?
-2703705
What is the next term in 689018, 1377911, 2066804, 2755697, 3444590, 4133483?
4822376
What is next in -20590, -20221, -19850, -19477?
-19102
What is next in 1578648, 3157295, 4735942, 6314589?
7893236
What is the next term in 6928, 7004, 7378, 8200, 9620, 11788, 14854?
18968
What comes next: -9505928, -19011866, -28517804?
-38023742
What is next in 5240288, 10480575, 15720862?
20961149
What is next in -35915, -143670, -323265, -574700, -897975, -1293090, -1760045?
-2298840
What is the next term in -176010358, -176010361, -176010366, -176010373, -176010382?
-176010393
What is the next term in -7805, -4314, 1505, 9652, 20127?
32930
What is next in 107532617, 107532620, 107532623, 107532626, 107532629?
107532632
What comes next: 68337, 69274, 70207, 71136, 72061?
72982
What is next in 4723, 18922, 42615, 75802?
118483
What is next in 2371, 4740, 7141, 9592, 12111, 14716?
17425
What is next in -8168, -8190, -8196, -8180, -8136?
-8058
What is the next term in 646042, 2584221, 5814558, 10337083, 16151826, 23258817, 31658086?
41349663
What is next in 9238861, 9238859, 9238857, 9238855, 9238853, 9238851?
9238849
What comes next: 865524, 1731015, 2596506, 3461997, 4327488, 5192979?
6058470
What comes next: 4089, 5150, 7087, 9900?
13589
What is next in 172879, 173219, 173557, 173893?
174227
What is next in 707890, 1415761, 2123610, 2831431, 3539218, 4246965?
4954666
What is next in 185572, 373874, 562176, 750478?
938780
What comes next: 1110852, 1110840, 1110830, 1110816, 1110792?
1110752
What is next in 25103974, 25103980, 25103988, 25103998?
25104010
What is the next term in 6301789, 6301792, 6301795, 6301798, 6301801, 6301804?
6301807
What is the next term in 2598, 2102, 1262, 66, -1498, -3442?
-5778
What comes next: 4690, 37265, 125684, 297871, 581750, 1005245?
1596280
What is the next term in -6366, -6376, -6408, -6474, -6586, -6756?
-6996
What comes next: -1508, -3083, -4730, -6449, -8240, -10103?
-12038
What comes next: 2451, 19587, 66107, 156711, 306099, 528971, 840027, 1253967?
1785491
What is the next term in -382981915, -382981917, -382981921, -382981927, -382981935?
-382981945
What is next in -2504, -5523, -8564, -11639, -14760?
-17939
What is the next term in 113281, 226642, 340013, 453400, 566809, 680246, 793717, 907228?
1020785
What comes next: -15269, -24080, -32891, -41702, -50513, -59324?
-68135
What comes next: -532, -832, -1122, -1408, -1696?
-1992
What is next in 50530, 102060, 153616, 205204, 256830, 308500?
360220
What comes next: 489, 630, -1591, -8184, -21159, -42526, -74295?
-118476
What is the next term in 8783, 9114, 9591, 10286, 11271?
12618
What is the next term in 12679640, 25359281, 38038920, 50718557, 63398192?
76077825
What comes next: 88574, 177049, 265526, 354005, 442486, 530969, 619454?
707941
What is the next term in -4006629, -8013250, -12019839, -16026378, -20032849?
-24039234
What comes next: 84693, 168707, 252721, 336735, 420749?
504763
What is next in -26699, -53483, -80461, -107729, -135383, -163519?
-192233
What is the next term in 252955, 1011919, 2276897, 4047889, 6324895?
9107915
What is next in -300, -379, -502, -669, -880, -1135, -1434?
-1777
What is the next term in 13540, 13271, 13002, 12733, 12464?
12195
What is next in -1261065, -1261055, -1261045?
-1261035
What is the next term in -4976, -4939, -4902, -4865, -4828?
-4791
What is next in 3552, 7200, 10846, 14490?
18132
What is next in 40449, 40462, 40481, 40506, 40537, 40574?
40617
What is next in 1522, 3627, 7140, 12067, 18414, 26187, 35392, 46035?
58122
What comes next: 38657, 77044, 115181, 152942, 190201?
226832
What is next in -22964, -45485, -68004, -90521, -113036, -135549?
-158060
What is next in 1458186, 1458184, 1458182, 1458180?
1458178
What comes next: -13915, -28222, -42529, -56836, -71143, -85450?
-99757
What is next in 5110, 11842, 18574, 25306?
32038
What comes next: 1502, 1671, 1994, 2471?
3102
What is the next term in -400940, -801605, -1202270, -1602935?
-2003600
What comes next: 50418, 50423, 50442, 50481, 50546, 50643?
50778
What is the next term in 219932, 219841, 219750, 219659, 219568, 219477?
219386
What is next in 1597202, 1597143, 1597086, 1597031, 1596978, 1596927, 1596878?
1596831
What comes next: -1876452, -1876450, -1876448, -1876446, -1876444?
-1876442
What is the next term in -603, -1629, -3259, -5427, -8067, -11113?
-14499
What is next in 4196, 8448, 12700, 16952, 21204, 25456?
29708
What comes next: 163598, 326926, 490254, 653582, 816910, 980238?
1143566
What is the next term in 296691, 593270, 889849, 1186428, 1483007?
1779586
What is next in -73835, -147750, -221743, -295808, -369939, -444130?
-518375
What is the next term in -5812, -45761, -154018, -364735, -712064, -1230157, -1953166?
-2915243
What is next in -13783, -13551, -13315, -13075, -12831, -12583, -12331?
-12075
What comes next: 5220, 41906, 141464, 335328, 654932, 1131710?
1797096
What is the next term in -15616, -15551, -15478, -15397, -15308, -15211, -15106?
-14993
What comes next: -9399, -34434, -75151, -131556, -203655?
-291454
What comes next: 73497, 73469, 73433, 73383, 73313, 73217?
73089
What comes next: 1336, -1323, -7970, -18605?
-33228
What is the next term in -606023, -1212047, -1818069, -2424089, -3030107, -3636123?
-4242137
What comes next: 3649334, 14597316, 32843952, 58389242?
91233186
What is next in -1371585, -1371536, -1371457, -1371348, -1371209, -1371040?
-1370841
What is next in -647018, -1293414, -1939810, -2586206?
-3232602
What is next in 48767, 97513, 146259, 195005, 243751, 292497?
341243
What is the next term in -148111, -295683, -443255, -590827, -738399?
-885971
What is the next term in -3765, -3630, -3373, -2970, -2397?
-1630
What is next in -236333, -240031, -243729, -247427?
-251125
What comes next: -137477, -274901, -412325, -549749?
-687173
What is next in 25339367, 25339373, 25339383, 25339397, 25339415, 25339437, 25339463?
25339493
What comes next: 402029, 804038, 1206047?
1608056
What is the next term in -36471707, -36471705, -36471703, -36471701, -36471699, -36471697?
-36471695
What comes next: -2513136, -2513135, -2513132, -2513127?
-2513120
What comes next: -34205, -68408, -102599, -136778?
-170945
What comes next: 62161, 84392, 121443, 173314, 240005, 321516, 417847?
528998
What is the next term in 2736, 5413, 8006, 10515, 12940, 15281?
17538
What comes next: -2813, -2950, -3127, -3344, -3601, -3898, -4235?
-4612
What is next in 9197, 21774, 34351, 46928?
59505
What is the next term in 4939428, 9879015, 14818602, 19758189?
24697776
What comes next: 3504603, 3504599, 3504595, 3504591?
3504587
What is next in -11031, -44224, -99537, -176964, -276499?
-398136
What is the next term in 86874569, 86874563, 86874557, 86874551, 86874545, 86874539?
86874533
What is next in 119666, 2 | {
"pile_set_name": "DM Mathematics"
} |
3.
5*(d + 1)*(d + 5153)/3
Solve 4*a**2 + 5092*a - 77280 = 0.
-1288, 15
Find x such that -5*x**4/4 - 1665*x**3/4 + 82635*x**2/4 - 915515*x/4 - 499905/2 = 0.
-378, -1, 23
Factor -5*r**2 - 880*r - 24675.
-5*(r + 35)*(r + 141)
Factor m**2 + 258924*m + 16760409444.
(m + 129462)**2
Solve 5*b**3 + 1775*b**2 + 15660*b + 31140 = 0 for b.
-346, -6, -3
Factor -3*n**2 + 109665*n - 219318.
-3*(n - 36553)*(n - 2)
Suppose -4*i**4/3 + 2308*i**3 - 133836*i**2 + 782260*i/3 - 129224 = 0. What is i?
1, 58, 1671
Find r such that -3*r**5/7 + 3471*r**4/7 - 1002231*r**3/7 - 1026567*r**2/7 + 6034338*r/7 = 0.
-3, 0, 2, 579
Factor l**3/2 - 119184*l**2 - 476742*l - 476744.
(l - 238372)*(l + 2)**2/2
Let 2*g**3/9 - 530*g**2/3 - 1592*g/9 = 0. What is g?
-1, 0, 796
Solve -2*r**4/7 + 10*r**3/7 + 8*r**2 - 184*r/7 - 480/7 = 0 for r.
-4, -2, 5, 6
What is p in -4*p**4 - 535800*p**3 - 17942066692*p**2 + 35885740800*p - 17943138304 = 0?
-66976, 1
Find g such that 3*g**2 + 87*g - 91770 = 0.
-190, 161
Determine i so that i**4 - 10209*i**3 + 30621*i**2 - 30619*i + 10206 = 0.
1, 10206
Factor 5*w**3 + 200*w**2 - 2685*w + 6120.
5*(w - 8)*(w - 3)*(w + 51)
Solve 2*o**4 + 142154*o**3 - 284314*o**2 + 142158*o = 0 for o.
-71079, 0, 1
Factor 4*g**3 - 1360*g**2 + 16948*g + 18312.
4*(g - 327)*(g - 14)*(g + 1)
Solve 15*d**4 + 14646*d**3 - 52944*d**2 - 23520*d = 0.
-980, -2/5, 0, 4
Factor -a**2/7 - 17461*a + 733398/7.
-(a - 6)*(a + 122233)/7
Find u such that -4*u**3/3 - 4528*u**2/3 - 26960*u/3 + 72064/3 = 0.
-1126, -8, 2
Suppose -173*d**4/6 + 74215*d**3/6 + 1031*d**2/6 - 74215*d/6 - 143 = 0. Calculate d.
-1, -2/173, 1, 429
Let -70*m**5 - 223*m**4 - 148*m**3 + 77*m**2 + 92*m + 20 = 0. Calculate m.
-2, -1, -1/2, -2/5, 5/7
Determine o, given that -o**4/4 - 2287*o**3/2 - 5198217*o**2/4 + 18403615*o - 17102917 = 0.
-2294, 1, 13
Factor -u**5/5 + 15922*u**4/5 - 63361596*u**3/5 - 126786888*u**2/5.
-u**2*(u - 7962)**2*(u + 2)/5
Find x, given that 9*x**2 - 229881*x - 153258 = 0.
-2/3, 25543
Determine u so that 2*u**4 - 194554*u**3 + 6308478300*u**2 - 68182033336696*u - 68188342009552 = 0.
-1, 32426
Suppose q**3/2 + 10463*q**2/2 - 5233*q - 10464 = 0. Calculate q.
-10464, -1, 2
Factor -3*f**2/7 + 158577*f/7 - 634260/7.
-3*(f - 52855)*(f - 4)/7
Factor -t**4/10 - 102*t**3/5 - 5303*t**2/5 - 10302*t/5 - 10201/10.
-(t + 1)**2*(t + 101)**2/10
Factor -2*y**3 + 2006*y**2 - 593152*y + 42950656.
-2*(y - 448)**2*(y - 107)
Solve -200*u**4 - 135*u**3 + 600*u**2 + 5*u - 270 = 0 for u.
-2, -27/40, 1
Find q, given that -q**4/6 + 241*q**3/6 - 11659*q**2/6 - 120127*q/2 = 0.
-21, 0, 131
Solve -3*i**4 + 1161*i**3 - 15663*i**2 - 1161*i + 15666 = 0.
-1, 1, 14, 373
Determine z, given that 2*z**2 - 980*z - 44688 = 0.
-42, 532
Let 2*r**2 + 22116*r - 354368 = 0. Calculate r.
-11074, 16
Factor -2*f**2/7 + 14514*f/7 - 14500.
-2*(f - 7250)*(f - 7)/7
Factor d**2/6 + 183349*d/3 - 122233/2.
(d - 1)*(d + 366699)/6
Solve -13*s**4/7 - 114*s**3/7 + 996*s**2/7 - 2200*s/7 + 1536/7 = 0 for s.
-192/13, 2
Factor -6*k**2/5 - 16222*k/5 - 10812/5.
-2*(k + 2703)*(3*k + 2)/5
Suppose 10*g**2/11 - 61104*g/11 + 146592/11 = 0. What is g?
12/5, 6108
Factor 4*v**4 - 63*v**3 - 336*v**2 - 80*v.
v*(v - 20)*(v + 4)*(4*v + 1)
Factor -2*y**3/5 + 546*y**2/5 + 666*y + 5022/5.
-2*(y - 279)*(y + 3)**2/5
Factor -5*z**3 + 19870*z**2 - 59565*z.
-5*z*(z - 3971)*(z - 3)
Let -2*x**4 + 68*x**3 - 246*x**2 - 1244*x - 928 = 0. Calculate x.
-2, -1, 8, 29
Factor 5*k**3/3 - 4975*k**2 - 14940*k.
5*k*(k - 2988)*(k + 3)/3
Determine x so that 2*x**4 + 11076*x**3 + 11074*x**2 = 0.
-5537, -1, 0
Find u, given that 2*u**2 + 5001768*u + 3127210390728 = 0.
-1250442
Factor w**3 - 694*w**2 + 1385*w - 692.
(w - 692)*(w - 1)**2
Let -u**2/3 - 25804*u/3 - 166461604/3 = 0. Calculate u.
-12902
Let -h**3/4 + 35*h**2/4 - 66*h = 0. Calculate h.
0, 11, 24
Determine k, given that -22*k**4 - 4052*k**3 + 11562*k**2 - 5992*k - 1496 = 0.
-187, -2/11, 1, 2
Factor -156*y**3 + 1582*y**2 - 5280*y + 5814.
-2*(y - 3)**2*(78*y - 323)
Factor -w**2/3 + 163*w/3 - 364.
-(w - 156)*(w - 7)/3
Find o such that -o**3 + 237*o**2 - 2066*o + 3192 = 0.
2, 7, 228
Determine k so that -2*k**3 - 418*k**2/15 + 1076*k/15 + 448/5 = 0.
-16, -14/15, 3
Determine b so that 4*b**5 + 48*b**4 - 2400*b**3 - 7448*b**2 - 7524*b - 2520 = 0.
-30, -1, 21
Suppose -361*c**5/9 + 22781*c**4/9 - 2753*c**3 + 2419*c**2/9 - 62*c/9 = 0. Calculate c.
0, 1/19, 1, 62
Find f such that 2*f**2/17 - 610*f/17 + 22532/17 = 0.
43, 262
What is o in 2*o**4/17 - 54*o**3/17 - 1236*o**2/17 - 1064*o/17 + 2352/17 = 0?
-14, -2, 1, 42
Solve -o**2/7 + 985*o/7 - 984/7 = 0 for o.
1, 984
Suppose -3*j**2 - 11112*j - 10289712 = 0. Calculate j.
-1852
Factor -3*f**2/4 + 987*f/2 - 6762.
-3*(f - 644)*(f - 14)/4
Solve -x**2/2 + 368*x - 9912 = 0.
28, 708
Determine p so that 20*p**5 + 65036*p**4 + 52864496*p**3 - 10627536*p**2 - 42302016*p = 0.
-1626, -4/5, 0, 1
Find i, given that -728*i**3/3 + 398*i**2 + 6008*i/3 + 472 = 0.
-2, -1/4, 354/91
What is g in -2*g**4 + 174*g**3 - 770*g**2 - 4350*g + 20500 = 0?
-5, 5, 82
Let -4*n**3 + 436*n**2 - 11644*n - 12084 = 0. Calculate n.
-1, 53, 57
Factor 33075*u**2/8 - 315*u/4 + 3/8.
3*(105*u - 1)**2/8
Suppose -3*b**4 + 474*b**3 - 6195*b**2 + 21168*b = 0. What is b?
0, 7, 144
What is t in 5*t**5/3 + 2240*t**4/3 + 64045*t**3/3 + 566470*t**2/3 + 594580*t + 426360 = 0?
-418, -17, -6, -1
Suppose 2*q**3 + 1966*q**2 + 68320*q + 128792 = 0. What is q?
-947, -34, -2
Solve -4*f**3 - 1616*f**2 - 163216*f = 0 for f.
-202, 0
What is c in -2*c**4/5 - 79402*c**3/5 - 1050991254*c**2/5 - 928164732022*c - 37059366486256/5 = 0?
-13231, -8
Determine o so that -o**5 + 69*o**4 + 437*o**3 + 963*o**2 + 896*o + 300 = 0.
-2, -1, 75
Factor -h**2/4 - 631*h/4 + 14491/2.
-(h - 43)*(h + 674)/4
Factor 51*b**3/8 - 5655*b**2/8 - 333*b/4.
3*b*(b - 111)*(17*b + 2)/8
Solve v**4/10 - 5*v**3/2 - 29*v**2/5 + 1154*v/5 + 924 = 0 for v.
-6, -5, 14, 22
Suppose 4*w**3 + 1484*w**2 - 33112*w - 72128 = 0. Calculate w.
-392, -2, 23
Solve -32*d**5/3 + 1712*d**4/3 + 12138*d**3 - 149924*d**2/3 - 81682*d/3 - 3496 = 0.
-19, -1/4, 4, 69
Factor 3*f**2/4 + 9357*f/4 + 16338.
3*(f + 7)*(f + 3112)/4
Find m such that 2*m**4/13 + 52978*m**3/13 - 6*m**2/13 - 158930*m/13 + 105956/13 = 0.
-26489, -2, 1
Let u**5/7 + 293*u**4/7 - 1814*u**3/7 - 5956*u**2/7 + 7240*u/7 + 19136/7 = 0. What is u?
-299, -2, 2, 8
Let 3*k**2/2 - 1619*k - 1080 = 0. What is k?
-2/3, 1080
Let 2*b**5/15 - 14*b**4/5 + 302*b**3/15 - 274*b**2/5 + 112*b/3 = 0. What is b?
0, 1, 5, 7, 8
Determine q so that q**2/2 - 223257*q/2 + 111628 = 0.
1, 223256
Find t, given that 5*t**4 + 5955*t**3 + 293820*t**2 + 3553420*t - 3853200 = 0.
-1140, -26, 1
Factor 5*t**3 - 169610*t**2.
5*t**2*(t - 33922)
Solve 5*v**2 + 6175*v - 12370 = 0 for v.
-1237, 2
Let u**5/9 - 37*u**4/9 - 247*u**3/9 - 467*u**2/9 - 86*u/3 = 0. Calculate u.
-3, -2, -1, 0, 43
Factor -4*b**3/5 + 168*b**2/5 - 476*b/5 + 312/5.
-4*(b - 39)*(b - 2)*(b - 1)/5
Determine l, given that 2*l**3 - 33126*l**2 + 137249262*l - 685418410 = 0.
5, 8279
Factor 3*s**2 - 5523*s + 5520.
3*(s - 1840)*(s - 1)
Let -5*m**5 + 175*m**4 - 1915*m**3 + 7925*m**2 - 7080*m - 17100 = 0. Calculate m.
-1, 5, 6, 19
Let 3*a**5 - 381*a**4 + 12609*a**3 - 35571*a**2 + 34824*a - 11484 = 0. Calculate a.
1, 58, 66
What is v in -6*v**4/5 + 369*v**3/5 - 5472*v**2/5 - 6609*v/5 + 11718/5 = 0?
-2, 1, 31, 63/2
Suppose j**2 + 477*j - 5868 = 0. Calculate j.
-489, 12
Factor -130*j**2/9 + 72004*j/9 + 8864/9.
-2*(j - 554)*(65*j + 8)/9
Determine f so that -4*f**3 + 134856*f**2 - 1136094180*f - 9097386272 = 0.
-8, 16861
Let 4*r**5 - 13232*r**4 - 4*r**3 + 13232*r**2 = 0. Calculate r.
-1, 0, 1, 3308
Find a such that 2*a**3/5 + 316*a**2 - 18*a/5 - 2844 = 0.
-790, -3, 3
Factor -k**3 + 477*k**2 - 1832*k - 28380.
-(k - 473)*(k - 10)*(k + 6)
Solve -28*c**5 + 372*c**4 + 6084*c**3 + 4028*c**2 - 1656*c = 0 for c.
-9, -1, 0, 2/7, 23
Find q, given that -q**2/6 - 1503*q - 332297/6 = 0.
-8981, -37
Suppose 3*b**5/4 + 7*b**4/2 - 205*b**3/4 + 14*b**2 + 33*b = 0. Calculate b.
-11, -2/3, 0, 1, 6
What is s in -3*s**5 + 11556*s**4 - 11116851*s**3 - 22326198*s**2 + 44467452*s + 89119896 = 0?
-2, 2, 1927
Factor 9*z**2/4 + 72951*z + 48633.
3*(z + 32422)*(3*z + 2)/4
Factor -c**4 - 2778*c**3 - 2566848*c**2 - 783677440*c + 4795072512.
-(c - 6)*(c + 928)**3
Factor n**4/2 + 320 | {
"pile_set_name": "DM Mathematics"
} |
c
Let c(z) = z - 15. Suppose 0 = 4*q + 5*s - 244, 3*q + 0*q - 160 = 2*s. Suppose 4*p = 8*p - q. Let m be c(p). Are 2/17 and m equal?
False
Suppose 12*u = -u - 13. Let y be ((-2092)/700 + 3)/u. Is -1 > y?
False
Let x = 0.315 - 0.26. Let g = -2.555 + x. Is -0.1 bigger than g?
True
Let l = 2 - -2. Let z(g) = g - 3. Let h be z(l). Let n = 7 + -5. Which is smaller: n or h?
h
Let d = -8213/2185 - -57/115. Which is bigger: -2 or d?
-2
Suppose 82*b - 92*b - 200 = 0. Which is smaller: -141/7 or b?
-141/7
Let m = -207 - -200. Are 4 and m unequal?
True
Let y(a) = a + 6. Let f be y(-4). Let z(c) = -5*c + 4. Let r be z(f). Do -5 and r have the same value?
False
Suppose -7*a = -5*a - 6. Let f be (-2)/6 - 5/3. Let j be (2/(-3))/(f/6). Which is smaller: a or j?
j
Let j be (1715/(-45))/(-7) - 6. Let d = 2/9 + j. Suppose 2*m = 4*m. Is m smaller than d?
False
Let d = 1463471/233 + -6281. Are d and 1 unequal?
True
Let h = 3.4 - -12.6. Let f = -17.1 + h. Let o = -0.1 - f. Is -4 smaller than o?
True
Let v be ((-190)/20 - -10)*-10. Does -67 = v?
False
Let q = -1.72 + 76.72. Let p = q + -74.9. Which is smaller: p or 3/5?
p
Let o = 184 - 8282/45. Which is bigger: o or 0?
0
Let j(b) = b**3 + 12*b**2 - 7*b + 99. Let d be j(-14). Is -196 bigger than d?
False
Let g = -1824.3 - -1825. Let u be (-13)/(-20) - (-2)/(-8). Which is smaller: g or u?
u
Suppose -w + d = 5*d - 11, 5*d + 2 = 4*w. Is w at least 9?
False
Let d be (2/((-72)/(-2)))/(114/(-57912)). Which is smaller: d or -29?
-29
Suppose 91 = -7*a + 14*a. Which is smaller: -3 or a?
-3
Let y = 2/2483 - -4776/235885. Let z = -0.3 + 0.2. Is y >= z?
True
Suppose 3*r + 21 + 12 = 0. Suppose -62 = 6*g - 2*h, -28 = 4*g + 3*h + 9. Which is greater: g or r?
g
Let b(m) = 2*m + 5. Let h(u) = -2*u - 5. Let o(r) = 6*b(r) + 7*h(r). Let i be o(-3). Is 1 >= i?
True
Let p(a) = 20*a**2 + a + 1. Let b be p(-1). Suppose 7*r + b = 12*r. Suppose 5 = r*u + 9. Is 3/7 bigger than u?
True
Let s be 1*-2*(-5 + 6 + -2). Suppose s*b - 46 = 3*n, -n - 2 = -b + 12. Which is smaller: -19 or n?
-19
Let w = 0 + 0.1. Let m = w + 0. Let r = 3743 - 26205/7. Is r <= m?
True
Let v = -20.94 + 21. Let d = -1177/3 - -389. Let c = -3 - d. Which is bigger: v or c?
c
Let r = 42 - 41. Let h = 10774/27 - 399. Is h > r?
False
Let d = -12.07 + 0.07. Let h = -10.75 + -0.25. Let s = d - h. Which is smaller: 0.09 or s?
s
Let b be (-1027)/2 - (-1 + 6/12). Which is smaller: b or -514?
-514
Let d(q) = -5*q - 79. Let p be d(-16). Which is smaller: 77 or p?
p
Let g be 2/12 + 1545/450. Is 4 >= g?
True
Let n = -198 + 198. Is 12/73 bigger than n?
True
Let i(v) = -v**2 + v + 2. Let j be i(-3). Let t be 11/(-55) + (-52)/j. Let f = -1 - 1. Which is greater: f or t?
t
Let o = 148 - 23. Is o less than 127?
True
Suppose 2*q + 12 = -3*u, 9 - 1 = -4*q + 2*u. Do q and -42 have the same value?
False
Suppose -68 = 4*i - 200. Which is bigger: 31 or i?
i
Let f = -2855 - -334037/117. Let w = -84829/397215 + 26/485. Let u = f + w. Which is greater: 2/5 or u?
2/5
Suppose 4*v + 7673 = -3*t, 3*v + 9597 = -2*v + 2*t. Is -1918 equal to v?
False
Let o = -67 + 71. Let m be (2 - (-70)/(-32))/((-1)/o). Do m and 2 have different values?
True
Suppose 32*o - 29*o - 90 = 0. Which is smaller: 27 or o?
27
Let m be 26/((3 - 0) + 18). Let u = m + -293/84. Is u greater than -1?
False
Let i = 237.2 + -237. Is 19 greater than or equal to i?
True
Let v = 9 - 9.04. Let l = -0.057 - 0.003. Let t = l + v. Which is greater: -2/3 or t?
t
Suppose 9 = -2*v + v. Let h = -99 - -98. Let o be h - 3*6/v. Which is greater: -2/5 or o?
o
Let z = -5 - -2. Let f = 1818164795/623 - 2918401. Let x = -1/89 - f. Which is bigger: z or x?
x
Suppose -6*w + 603 = -8*w + 5*t, -2*t = -4*w - 1230. Which is bigger: -311 or w?
w
Let h(a) be the second derivative of -7*a**3/6 - a**2/2 + 8*a. Let c(t) = t - 1. Let o(i) = 6*c(i) + h(i). Let l be o(0). Which is bigger: -1 or l?
-1
Suppose 0*u + 10*u - 630 = 0. Suppose 5*z - u = -8*v + 11*v, -v - z - 13 = 0. Is v smaller than -13?
True
Suppose 11 = -27*y + 11. Which is smaller: -5 or y?
-5
Let r = 466 - 493.9. Let j = -28 - r. Is 3.2 smaller than j?
False
Let l = -764 - -740. Is 3 not equal to l?
True
Suppose 5*b - 2 + 12 = 0. Let s be 5 + -3*(-6)/9. Let t be (-6)/14 - 2/s. Which is smaller: b or t?
b
Suppose -3*a - 3*q - 6 = 0, q = 4*a - q + 8. Let r be 0/(a - (3 - 3)). Let s(v) = -v**2 + v + 1. Let m be s(2). Which is bigger: m or r?
r
Let a be (143/273*7)/((-3)/(-9)). Let p = -4 - 0. Let j(i) = 2*i**2 + 4*i - 4. Let d be j(p). Is d > a?
True
Let o be (-225)/(-7) - (-12)/(-70)*-5. Is o at most 38?
True
Let n(s) be the second derivative of -3*s**5/20 - s**4 + s**3/3 + 4*s**2 - 27*s. Let u be n(-4). Is 1/36 at most u?
False
Let v(p) = 20*p**2 + 2*p + 2. Let d be v(-2). Let a = d - -9. Let s = 695/8 - a. Which is smaller: 1 or s?
s
Let b = -63.2 - -102. Let t = b + -39. Is 6/7 less than t?
False
Let n = 0.17 + 6.83. Let d = -30 - -22. Let y = n + d. Which is greater: -0.08 or y?
-0.08
Let f(g) = 6*g - 24. Let a be f(4). Suppose a = -4*j - 48 - 28. Are j and -18 non-equal?
True
Let c = 27326 + -55651/2. Do c and -501 have the same value?
False
Let a = 0.64 - 0.74. Let m = -3.4 - -2.3. Let k = m - a. Is 1.1 smaller than k?
False
Suppose 25*a + 108 = 21*a. Let q be 1/((a + -3)*5/2). Which is bigger: q or 1?
1
Let y(p) = 278*p + 410. Let q be y(-4). Are -702 and q nonequal?
False
Let t(u) = u**3 + 6*u**2 + 2*u + 3. Let x be t(-2). Let n be x/(-12)*3/(105/(-2)). Which is bigger: n or -0.1?
n
Let b be 0 - (-39)/(-15) - -3. Suppose 2*w = 6 - 8. Let k be 2 - (-2 + (-4)/w). Do b and k have different values?
True
Suppose -5*s + 1 = -4*s, 164 = 4*q + 4*s. Let b(k) = -k**3 + k**2 - k + 2. Let i be b(-3). Which is smaller: i or q?
q
Suppose -4*m = -9*m - 95. Let a = m + 18. Is -1 at least as big as a?
True
Let v(y) = -25*y - 74. Let z be v(-3). Is -2/175 != z?
True
Let l be -6 + 0 + (-1392)/(-234). Are l and 0 nonequal?
True
Suppose -2*b - 20*p - 344 = -17*p, -5*b - 883 = -4*p. Which is smaller: b or -176?
-176
Let q be 3/(-2)*(-20)/3. Suppose 0 = -4*h - 6 - q. Which is smaller: h or -5?
-5
Suppose -8*p + 3*p = -10, 1 = -o + p. Let k be (42/63)/(o/(-3)). Is -4 less than or equal to k?
True
Suppose t - 6*t = 0. Suppose -d + 3 = -3. Suppose 0 = -2*a - 4*j - 2, t = -d*a + a - 2*j + 3. Which is smaller: 0.09 or a?
0.09
Let p = 38 + -36. Let t be p*((-4)/20)/((-6)/(-15)). Is t at most -57?
False
Let t(m) = -4*m - 2 - 4*m + m**2 + 6*m**2 + m**3. Let h be t(-8). Which is smaller: -10/7 or h?
h
Let a = -542 - -235. Which is bigger: a or -306?
-306
Let u be 192/(-88) - (-2)/1. Let k = 403 - 424. Which is greater: k or u?
u
Suppose 32*b - 33*b = -3. Suppose w + 9 - b = 0. Which is smaller: -4 or w?
w
Suppose -r - 16 = -2*l, 0 = -4*r + 4*l - 5*l - 28. Let t be 152/(-36) + 2/9. Let m be -3 + (-2)/2*t. Is m <= r?
False
Let b(t) = t**3 - t**2 + 29. Let v be 1/(-2)*(1 - 1). Let p be b(v). Which is smaller: 27 or p?
27
Suppose -2*b + 2 = -2. Let f be (-1 - 1)*b/12. Let i = -177 - -171. Which is smaller: f or i?
i
Let u(h) = -h**2 - 7*h - 2. Let q be u(-3). Suppose 6*p - q*p = 120. Let c be (6/15)/(48/p). Do c and 0 have the same value?
False
Let r = -474382/1507 - -3462/11. Let m = r + -1193/685. Let z = -2 - -1. Which is smaller: z or m?
m
Suppose 3*j = -5*o - 23203, -38701 = 5*j - 0*j + o. Let a = j + 101450/13. Let i = 63 - a. Is 0 greater than i?
False
Let g = -22 + 0. Suppose 50 = -0*h - 3*h + 4*n, 0 = -5*h + 3*n - 98. Are h and g equal?
True
Let h be (-14)/21*3*(-1)/(-2). Let x = 0.07 - -1.43. Let r = -2 + x. Which is greater: h or r?
r
Let g(j) = -j**3 + 8*j**2 + 31*j + 27. Let q be g(11). Let a be 0*(0 + (-2)/(-4)). Suppose -4*r - 15 = -q*m, a*m + m + 4*r + 21 = 0. Which is smaller: -2 or m?
-2
Suppose 4*q + 930 = -6*q. Is -92 bigger than q?
True
Let a be 0 - (-25)/110*8/(-5). Which is greater: a or -0.1?
-0.1
Let j be ((-24)/(-10))/((-3)/10). Suppose 29 = 3*o + 3*u - 2*u, -2*u = -2*o + 22. Let x = j + o. Is x at most as big as 3/2?
False
Let j be 5/2 - (-1)/(-2). Let f = -1980 - -1981. Which is greater: j or f?
j
Let k = -7.827 + -0.053. Let a = k + -0.12. Let r = -7.9 - a. Is r bigger than 2?
False
Suppose -x + 4 = 0, k + 5*x = 34 - 9. Suppose 3*r = k*r + 14. Let u = -6 + 5. Which is greater: r or u?
u
Let j(y) = 8* | {
"pile_set_name": "DM Mathematics"
} |
942 - 31726. Suppose 0 = 2*c + b - 55616. Round c to the nearest 10000.
20000
Let k = -547875 - -547877.19943. Let m = 26.2 - 24. Let d = m - k. Round d to four decimal places.
0.0006
Let q = 1.0176842 - 22.0176772. Let f = q + 21. What is f rounded to 5 decimal places?
0.00001
Let n = 58.623 + -58.9. What is n rounded to 2 dps?
-0.28
Let d = -90 - -60. Let b be (-45)/d*(-15000 - 0). What is b rounded to the nearest one thousand?
-23000
Let m be (-12)/(3 - (-4275345)/(-1425117)). Let y = m + 14315679. Let c = y + -17165445. Round c to the nearest one million.
-6000000
Let t = 1 - -1. Let p be (45/4)/(-7 - (-42690)/6096). Suppose f - t*r = -1270, 3*f + p = 4*r - 3*r. What is f rounded to the nearest 100?
-1300
Let n = -452.999665 + 453. What is n rounded to five decimal places?
0.00034
Let a = -143.699219 + 143.7. Round a to five decimal places.
0.00078
Let v = -0.05741 + 0.03194. What is v rounded to 3 dps?
-0.025
Suppose -2*s - 12050080 = -5*p, -2*s - 11 = -1. Suppose 0 = -4*k - p - 3509986. Round k to the nearest 100000.
-1500000
Let a be 15/(-1) + (6 + -5)*-2. Let w(i) = -5*i - 19. Let b be w(a). Round b to the nearest 10.
70
Let i = 78.08 + -3.88. What is i rounded to the nearest integer?
74
Suppose -4*f = 3*w - 4 - 24, -2*f + 2*w = 0. Suppose -3*p = 4*n - 9*n - 15106, n + f*p = -3012. What is n rounded to the nearest 1000?
-3000
Let v = 0.001 + 0.419. Let l = 2.5288 + -2.102. Let k = l - v. Round k to 3 dps.
0.007
Let t = -113674 - -113676.90011. Let q = -6.4 + 9.3. Let k = q - t. What is k rounded to four decimal places?
-0.0001
Let j = 653 + -713.9. Let w = j - -2.9. Let a = w + 58.033. What is a rounded to 2 decimal places?
0.03
Let n = -31.2574 + 0.1074. Let i = -59.41 - n. Let d = -28 - i. What is d rounded to 1 decimal place?
0.3
Let z(c) = -1548727*c**3 - c**2 - 3*c - 3. Let m be z(-1). Suppose -m = 2*t + 96251274. Round t to the nearest one million.
-49000000
Let h = -119 - -118.93593. Round h to 3 dps.
-0.064
Let g = 1007 - 1006.9999077. Round g to 6 dps.
0.000092
Let f = -2108.9586 - 2247964.9414. Let v = -2250080.9000015 - f. Let y = -7 - v. What is y rounded to 6 decimal places?
0.000002
Let q = 103 + -103.5. Round q to 1 dp.
-0.5
Let f(m) be the first derivative of -5 - 4/3*m**3 + 4*m - 5*m**2 + 1/4*m**4. Let y be f(8). Round y to the nearest 100.
200
Let c be (-8)/12 - 2/6. Let l be c/((-296)/300 - -1). Let z = l - -30. Round z to the nearest 10.
-50
Let r = -26 - -25.973. Let s = -63.973 + r. Let a = s + 63.99999949. What is a rounded to seven dps?
-0.0000005
Let i be (160*-25)/((-7)/66850). Round i to the nearest 1000000.
38000000
Let o(y) = -y**2 + 32*y + 25. Let a be o(17). Let h be ((-11)/(22/a))/(1/2). Round h to the nearest one hundred.
-300
Suppose 2*b + 8014000 = 3*b. What is b rounded to the nearest one hundred thousand?
8000000
Let d = -5769831 + 5742068.816. Let g = d - -27793.183926. Let q = g - 31. Round q to 5 dps.
-0.00007
Let z = 70 - -35. Let t = z - 104.9999488. Round t to 6 decimal places.
0.000051
Suppose 3*o = 12 - 0. Suppose 0 + 12 = o*i. Suppose -14000000 = -i*j - j. What is j rounded to the nearest 1000000?
4000000
Let u = -11.5432 + 41.5367. Let v = u - 30. What is v rounded to 3 decimal places?
-0.007
Let q be (-6)/4 - 4/(-8). Let p be ((-5154 - -4)/(-5))/q. Round p to the nearest one hundred.
-1000
Let d = -44 + 36. Let w be ((-354)/d)/((-3)/(-8)). What is w rounded to the nearest ten?
120
Suppose 3 = -3*b, b = 4*s - 2*s - 200607. Let x = s - 53277. Let p be 4/(-14) - x/49. Round p to the nearest 100.
-1000
Let c = 2.786 + 0.479. Let v = c - -0.035. What is v rounded to the nearest integer?
3
Let m = -119.1 - -108. Let u = m + 50.5. What is u rounded to the nearest integer?
39
Let m = 607 - 647.7. Let k = 39 + m. Round k to the nearest integer.
-2
Suppose 0 = -0*k + 3*k + 4506. Suppose 10*i + 4186 = 3*i. Let f = i + k. What is f rounded to the nearest one hundred?
-2100
Let x = 181333 + -181333.0399985. Let l = x + 0.04. What is l rounded to 6 decimal places?
0.000002
Let d = -1411.168 - -1405. Round d to the nearest integer.
-6
Let x = -2936.364 + 2930. Round x to the nearest integer.
-6
Suppose 2*w + 128253035 = 5*v - 0*w, 10 = -2*w. Let p = v - 15850605. What is p rounded to the nearest 1000000?
10000000
Let n be (-1)/5 + (-36650756)/(-5). Suppose -n = -g + 19469849. Suppose -s + 4*r = -3*s + 13400000, -4*s + 3*r = -g. Round s to the nearest 1000000.
7000000
Let c = -11985.0216 - -11979. Let p = c - 0.0504. Let q = p + 6. Round q to two decimal places.
-0.07
Let s(j) = 40742*j**2 + 22*j + 96. Let o be s(-9). What is o rounded to the nearest 1000000?
3000000
Let a = 34.4 + -28. Let b = 6 - a. Let m = b + -1.1. Round m to the nearest integer.
-2
Let s be 116/(-638) - 8448002/(-11). What is s rounded to the nearest 100000?
800000
Let j = 6.9 - 6.953. Let h = 0.023 + j. What is h rounded to one decimal place?
0
Let k = 9 + -74.8. What is k rounded to 0 dps?
-66
Let r = -272214393127114.42120306 + 272214396439495. Let f = 3312021.5788 - r. Let q = -359 - f. Round q to 7 dps.
-0.0000031
Suppose -5*k + 31 - 11 = 0. Let n be (-63)/(-36) + (-3)/k. Let j(c) = 110*c**3 - c**2 + c. Let p be j(n). Round p to the nearest one hundred.
100
Let h = -0.001 - 0. Let s = h - 0.269. Let q = s + 0.33. Round q to 2 decimal places.
0.06
Let g = -222.519 + -0.481. Let u = 222.999741 + g. Round u to five decimal places.
-0.00026
Let c = -347990 - -1619990. What is c rounded to the nearest 10000?
1270000
Let r = 45.4 - 52.75. What is r rounded to 0 dps?
-7
Let w = 54.8737 - 0.6137. Let j = w + -54. Round j to 1 decimal place.
0.3
Let z(a) be the first derivative of 549999*a**4/4 - 5*a**3/3 - 2*a**2 - 11. Let g be z(-4). What is g rounded to the nearest one million?
-35000000
Let q = 5387.0855 + -114.2755. Let x = 5272.6099868 - q. Let k = -0.2 - x. Round k to six dps.
0.000013
Let l = 16.76 - 39. What is l rounded to the nearest integer?
-22
Let j = -39 + -2. Let k = -41.085 - j. Let g = -0.085093 - k. What is g rounded to 5 dps?
-0.00009
Let y = -2905 + 2904.999998481. Round y to 7 dps.
-0.0000015
Suppose 2*n - 84808 = -4*a, 0*n = n + a - 42402. Round n to the nearest 10000.
40000
Let j = 0.6 + 0. Let z = j + -4.1. Let d = 3.5000029 + z. Round d to six dps.
0.000003
Let m = -12 + 6. Let z = -994089.00001 - -994095. Let u = m + z. Round u to four dps.
0
Let w = -1.03533 - -1.042. What is w rounded to 3 decimal places?
0.007
Let m(b) = -b**3 + 14*b**2 + 6*b - 30. Suppose 5*n = -4*z + 23, -n + 2*z = -0*z - 13. Let i be m(n). Round i to the nearest 100.
400
Let t be 32/14 - 4/14. Let v = 9419027 + 2580978. Suppose -x + 0*x - b = v, 2*b = t*x + 23999990. What is x rounded to the nearest one million?
-12000000
Let o = 104 - 52. Let p = o - 51.99916. Round p to four decimal places.
0.0008
Let t = -3416.076 - -3421.0760009. Let p = 6 - 1. Let o = t - p. Round o to 7 decimal places.
0.0000009
Let q = 1317.0169 + -1317. Round q to 3 decimal places.
0.017
Suppose -3*y + 1824962 = -5*f, -y - 4*y - f = -3041650. Let p = -215329 + y. What is p rounded to the nearest ten thousand?
390000
Suppose 4*r = 5*r. Suppose r*i = 3*i + 1650000. What is i rounded to the nearest 100000?
-600000
Let x be (-2)/(-3 + 4) - 4. Let f(p) = p - 3. Let k be f(x). Let i(c) = -16173*c**2 - c + 4. Let b be i(k). What is b rounded to the nearest 100000?
-1300000
Suppose 5*t - a = -2030000, 2*t + 10*a = 14*a - 812000. Round t to the nearest 100000.
-400000
Let b be ((-5)/(-15))/(2/90). Suppose -7*x + b = -2*x. Suppose 2117 + 9283 = -x*a. Round a to the nearest 1000.
-4000
Let z = -0.382 + 85.682. What is z rounded to the nearest 10?
90
Let g = 3.39492 - 3.4. What is g rounded to three dps?
-0.005
Let o = -6.775 + 0.075. Let p = o - -6.6641. Round p to two decimal places.
-0.04
Let o(x) = 3*x - 7. Let a be o(5). Let r be (12/8)/((-4)/a). Let w be (-3)/(r/1600)*-625. What is w rounded to the nearest one million?
-1000000
Suppose v - 6 = -v, 28479994 = 5*b - 2*v. What is b rounded to the nearest one hundred thousand?
5700000
Let x = -0.0217 - -0.021700767. What is x rounded to 7 dps?
0.0000008
Let b be 2992795/(-4) - 565/452. What is b rounded to the nearest 100000?
-700000
Let f = 863.002445 - 863. Round f to 5 decimal places.
0.00245
Let q = 3498392.072998 | {
"pile_set_name": "DM Mathematics"
} |
= -8*n. Solve 0 = n*u - s + 3 - k, 3*u + 3*s = 21 for u.
3
Let j = 5374 - 5364. Solve o - 2*r + 2 = 0, o - 8*r + j*r + 6 = 0 for o.
-4
Let h(n) = 5*n - 28. Let v be h(6). Suppose 2*j + 8 = 0, -4*x + x = v*j - 7. Solve x*q - 13 = 3*t + q, -2*t - 10 = -3*q for t.
1
Let b = 166 - 162. Suppose -s - 15 = -b*d, 6*s = 3*d + 3*s - 9. Solve 2*o = 5*f + 9, -3*f + 3 = -0*f - d*o for f.
-3
Let j = 9 - 21. Let n be j/60 - (-1)/(-5)*-11. Suppose 6*r - n*r = 68. Solve -15 = -2*d + 5*h, r - 4 = 3*d + 2*h for d.
5
Suppose 1356 - 460 = 56*q. Solve 3*m = -4*t + q, -4*m + 0*m = 5*t - 20 for t.
4
Let r(b) = -b**3 - 15*b**2 - 11*b - 44. Let p be r(-10). Let c = p - -456. Solve -3*y + 22 = -5*g, 4*g + y = -y - c for g.
-5
Let l = 109 + -109. Solve l = -2*r + 2*i - 4, 70*r - 3*i + 9 = 68*r for r.
3
Let k(f) = -28*f - 140. Let v be k(-8). Suppose 0 = -52*b + 31*b + v. Solve -3*w + b + 2 = 3*z, -z = -4*w - 7 for w.
-1
Suppose 61*q - 1224 = 10*q. Solve q*z + 4*w = 28*z + 16, 25 = 5*z + 4*w for z.
1
Let b(f) = 3 + 8*f**3 - f**3 - 7*f**2 - 4*f - 8*f**3 + 2. Let c be b(-4). Let h = c - -31. Solve d - 3*o = -o + 8, -h*d + 2*o = -20 for d.
4
Let x(t) = -t**2 + 8*t + 9. Let i = -51 - -50. Let z be x(i). Solve p = -z*p + 2, 5*f + p + 8 = 0 for f.
-2
Suppose -14 = -4*x + c, 6*x - x - 4*c - 23 = 0. Suppose 4*j = 9*j - q - 72, -40 = -x*j - q. Let t = -7 + 11. Solve t*v = -20, -4*v - j = -4*n + 2 for n.
-1
Let f be ((-63)/14)/((-6)/4). Suppose f*b - 12*b = 0. Suppose 3*u - c + 0 + 4 = b, -2*c + 8 = 0. Solve u*s + 2*s + 5 = q, -q + 4*s = -9 for q.
1
Let v = -167 - -233. Let c be ((-96)/v)/8 - (-180)/22. Solve 5*t + 3*z = 25, 0 = -c*z + 4*z for t.
5
Let v(t) = -t**2 - 4*t - 1. Let h be v(-3). Let q = 33213 + -33212. Solve -2*z = 5*l + 2, -h*z = 3*l - 1 - q for l.
-2
Let s = -26270 + 26272. Solve 3*u + 2*m + s = 0, 41*m - 40*m = u + 4 for u.
-2
Let x = -16591 + 16596. Solve -i = x*r + 44 - 16, 0 = 4*i - 3*r - 3 for i.
-3
Suppose 170*h - 340*h + 179*h = 45. Solve h*x - 2*v - 21 + 0 = 0, -17 = -3*x - v for x.
5
Let h(c) = 3*c**2 - c + c**2 + 0*c**2 - 3*c**2. Let a be (28/49)/(4/14). Let i be h(a). Solve -p + 5 = d, -i*p = -3*d + 4 + 11 for p.
0
Let d = -149 + 282. Suppose 4*z + 15 = -d. Let k = z + 40. Solve -2*c - n - 7 = k, c - 6 = 5*n for c.
-4
Suppose -4*p + z - 167 = 0, -4*z = -5*p - 244 + 49. Let y = p - -45. Solve y*d + 4 = 5*s + d, -5*s = -4*d - 1 for s.
1
Let r(i) = -2*i**2 + 143*i + 222. Let c be r(73). Solve 4*y + 6 = 2*x + 12, -c*y + 5*x = -8 for y.
1
Suppose 2*c - 2*t = 4*c, 5*t = -3*c - 2. Let z be c/(-2)*(1 + 1) + 3. Solve z*a + 10 = 2*o, 4*a - 9*a - 21 = -o for o.
1
Let k = 258 - 255. Suppose 0 = r + 4*r + 5, 3*r = -3*v + k. Solve -s + 4*s + 21 = -3*y, -17 = v*s + 3*y for s.
-4
Let z(c) = 11*c + 2*c**2 - 4*c + 0*c**2. Let v be z(-5). Suppose 4*y - v = -y. Solve 0 = 3*g - y*b - 15, 5*b = 5*g - 2*g - 15 for g.
5
Let p = 169 + 275. Suppose -16 = 440*b - p*b. Solve -4*i = 4*y - 0*y, -y = -b*i for y.
0
Let h = 212 + -208. Let r(l) = 4*l**2 - 12*l - 4. Let v be r(h). Solve -y - 3*a + 7*a + v = 0, -y - 8 = a for y.
-4
Let j be (3 + -4)/(3/(-84)). Suppose -24*g + j*g - 40 = 0. Solve 4*n = 5*c - g, c + 2*n = -0 + 2 for c.
2
Suppose -48 + 42 = -3*i. Suppose 5*s - 2*h = 20 + 8, -i*h - 12 = -s. Solve -4*y + k - 16 = -3*k, s*k = 0 for y.
-4
Suppose -4*u + 817 - 785 = 0. Suppose f + 3 = 6. Solve -3*n - u = -d + 2*n, f*d = -2*n + 7 for d.
3
Suppose -40 = -66*x + 224. Solve 11 - 15 = n - 5*s, x*s = -n - 4 for n.
-4
Suppose -19*r = -462 - 466 - 212. Solve 5*v - 65*g - 10 = -r*g, -3*v - 12 = 3*g for v.
-1
Suppose -4*d = g + 5, 3*g - 11*d - 15 = -8*d. Solve -g*s - 1 + 2 = -z, 5*s - 3*z + 1 = 0 for s.
1
Let b(a) = -a**3 + 3*a**2 + 17*a + 44. Let t be b(9). Let j = -286 - t. Solve 4*i = 2*z + z + 26, -j*z + 5*i = 31 for z.
-2
Let v(h) = -11*h + 22. Let b be v(2). Suppose 25 = 5*a, -2*w + b*a - 5*a + 31 = 0. Suppose 2*j - 1 = 1. Solve w*u - j = d + 4, -u = -d - 1 for d.
1
Suppose -5*i + 0*d = -3*d - 39, -5*i = -2*d - 41. Suppose r - 3*r = -10. Let x = 11966 + -11950. Solve h - r*m + m = x, h = -m - i for h.
-4
Suppose -5*j + 4*y - 5*y = 47, -3*y = -j - 19. Let o(i) = -i**2 - 9*i + 13. Let k be o(j). Suppose k*b - 19 = 26. Solve h - 4*v = -v + 17, 5*h - b = v for h.
2
Let r(q) = 6 - 78*q + 38*q - 29 + 47*q. Let o be r(5). Solve -39 + o = -3*y - 4*k, 4*y = 5*k + 5 for y.
5
Let q be (-375)/(-525) - (-116)/14. Solve z + 4*g = 17, 0 = -2*z + 9*g - 12*g + q for z.
-3
Suppose -37575 = -445*l - 1530. Solve -77*y + 5*f - 23 = -l*y, f - 7 = -2*y for y.
2
Let x be (-3 - -1)*3/(-2). Let w = -68 - -71. Suppose -14*z + 3 = w. Solve -r + z*r + 8 = x*v, -2*v = 3*r - 17 for v.
1
Let w be 8 + 2*2/(-2) - 2. Let o(x) = -12*x + 52. Let d be o(w). Solve -3*p + 5*s + 21 = 0, d*s + 12 - 2 = -p for p.
2
Suppose 11*s - 13 = -68. Let l be 14/245*s*-56. Suppose -k = -3 - 0. Solve -a + k = p - 2*a, -3*p - 2*a - l = 0 for p.
-2
Let r be (-5)/2*(16/25)/(288/(-720)). Solve 6 = 5*d - f, -2*d + 3*f + 1 = -r*d for d.
1
Suppose 54 = -13*s + 93. Solve s*v + h = 5, -2*v = -4*v + 4*h + 22 for v.
3
Suppose 4*x = -2*x + 36. Suppose -14*p + 40 = -x*p. Solve -2*k + 16 = -p*t - k, 4*k + 5 = -3*t for t.
-3
Let b be (-13)/3 + (-1807)/(-417). Solve -4*h - 4*p - 21 = 11, -3*h - 2*p - 19 = b for h.
-3
Suppose 4*h + 25*d - 39 = 24*d, -25 = -4*h + d. Solve -3*b + 2 = -n, 0 = 3*n - h*b + 13*b + 6 for n.
-2
Let z = 249 + -253. Let y be (-4 + 4)/((z + 10)/3). Solve y = -3*x + 3*b - 9, 0*b = -4*x + 3*b - 10 for x.
-1
Let q(o) = -3*o**3 + 2*o**2 - 3*o - 4. Let d be q(-1). Solve -4*g = 2*z - d, -g - 10*z + 6*z = -8 for g.
0
Let d(b) = b + 10. Let x be d(-8). Let n be x/(6/(-15)) + 10. Solve 3*w - 3 = 3*s, -n*w - 65 + 25 = 4*s for w.
-4
Let k be 16/(-10)*(-100)/40. Let s(u) = -u + 5. Let p be s(0). Solve 5*i + 10 = 4*c, -3*c + p = -k*i - i for i.
2
Suppose 3*i - 16 = 7*i, -12 = -4*g - 3*i. Solve -a - 28 = -5*n, -5*a - g*n = -2*n - 5 for a.
-3
Suppose -8*x - 110 = -14*x - 16*x. Let o = 6 + -13. Let m = o + 9. Solve 3*s - w = 1, 0 = -s - m*w + x*w + 11 for s.
-1
Suppose 2*q + 14*q - 336 = 0. Suppose 8*k + q = 15*k. Let m = -22 + 40. Solve -x + m = k*l - 0, l = -3*x + 14 for l.
5
Suppose c + 5 = 0, -3*a - 17*c + 12*c - 7 = 0. Solve a*n + 6 - 40 = o, n - 21 = 4*o for o.
-4
Suppose -13*o + 39*o = -26. Let y(q) = -4*q**3 - 5*q**2 + 2*q + 6. Let b be y(o). Solve 5*x + b*w = 0, -5*w = 2*x + 10 + 9 for x.
3
Let p(u) = 220*u + 5063. Let g be p(-23). Solve -3 = g*h - 3*d + 6, 3*d - 12 = 4*h for h.
-3
Let n = -10340 - -10340. Solve n*b + 2*b = -5*q - 31, -2*b = 3*q + 21 for q.
-5
Suppose 5 - 89 = -21*l. Solve 4*f + 2*i = -28, l*f + 4*i + 27 + 9 = 0 for f.
-5
Suppose 152 = 60*n - 148. Solve 0 = 3*f + 4*j + 19, -3*j + 2 = n*f + 30 for f.
-5
Let g = -5574 - -5579. Solve -4*o = 5*c - 17, 0 = -4*o + 4*c + g + 3 for o.
3
Let t be -9 - (478/(-22) - 9/33). Solve t*u - 22 = 17*u + 3*x, 0 = -2*x - 4 for u.
-4
Let m(z) = z**2 + 6*z - 12. Let w be (-6)/((-18)/(-4)*(-34)/(-204)). Let d be m(w). Solve n - 11 = -d*h, 2*h + 3*h = -4*n for h.
4
Let z = 21021 - 21016. Solve 0 = -z*k + 2*h + 37 - 22, k + 5*h = 30 for k.
5
Let h be (27/(-3))/((-4)/72) - 2. Let c = h + -158. Solve -4*a - 17 = -3*i, 3*a + 8 + 4 = c*i for i.
3
Let l = 34 + -29. Let c = -2688 - -2692. Solve 2*v - c*j + 6 = 0, 0 = -l*v + 3*j - 5*j - 27 for v.
-5
Let w(n) = -n**3 - 90*n**2 - 503*n + 87. Let y be w(-84). Solve 4*b + 16 = -y*h, 4*h - 9 = -b - 13 for h.
0
Suppose 738*b + 160 = 758*b. Solve -3*n + 25 = -4*x, 3*x + b = -n - 1 for n.
3
Let r(u) = 2*u**2 - 32*u + 113. Let c be r(5). Solve 5*l = -5*p + 3*l - 17, c*p = -3*l - 3 for p.
-5
Suppose -14*s - 3 = -11*s, 5*s = 2*r - 17. Solve 4*w + 16 = -r*y + 2*y, -5*y = -2*w - 8 for y.
0
Let w(h) = h**2 + 6*h + 3. Suppose 0 = 37*o - 39*o. Let i be w(o). Solve i*j + 3 = 3*z, j = -j - z - 14 for j.
-5
Let c = -435 + 450. Suppose r - c = 3*w - 0, -w - 5 = -5*r. Solve -l - 4*l + 2*j - 19 = r, -3 = 3*l - 4*j for l.
-5
Suppose 216 + 262 = 24*o + 118. Solve 0 = i + 3*d - o, 9*d + 32 = 4*i + 14*d for i.
3
Let g(d) = 2*d**3 + 6*d**2 + 2*d + 5. Let j be g(0). Solve 4*m + 4 = -k, 314*m - 318*m + j*k - 4 = 0 for m.
-1
Suppose -5 = -2*h + 5. Let x(i) = 20*i - 56*i + 34*i - 6. Let g be x(-4). Solve 8 = -6*w + g*w - y, 0 = h*w + y + 9 for w.
-1
Let u(h) = 3*h**2 - 24*h + 5. | {
"pile_set_name": "DM Mathematics"
} |
*2 - 10*f + 9. Let u(a) = 7*a**3 - 2*a**2 + 2*a. Let g be u(1). Calculate t(g).
-12
Let g = 6 - 3. Suppose 5*c - 115 = -4*t - 30, -t + 30 = g*c. Let x(p) = -10 + 0*p**2 + p**3 - 6*p**2 + t. Calculate x(6).
5
Let z(c) be the third derivative of -c**4/24 - c**3/6 + 3*c**2. Let n(k) be the second derivative of k**3/6 + 2*k**2 - k. Let p be n(-5). Determine z(p).
0
Let u(k) = -k + 5. Let g(h) = -3*h + 14. Let q be 3*4/(12/11). Let c(y) = q*u(y) - 4*g(y). What is c(-5)?
-6
Let t(b) = 13*b + 17*b**3 - 13*b + 1. Let o be (6/(-18))/((-4)/12). Calculate t(o).
18
Let t(c) = -c + 1. Let a be t(-3). Let b(l) be the third derivative of 0*l + 1/120*l**6 + 1/60*l**5 - 1/8*l**a + 2*l**2 + 1/2*l**3 + 0. Determine b(-3).
-6
Let w(j) = j**2 - 5*j + 2. Let o be w(4). Let h(t) = -2*t**3 - 3*t**2 - t - 2. Let a be h(o). Let z(p) = 5*p - 4 - 1 - p**2 + 1. What is z(a)?
0
Let q(u) = -2*u - 1. Let s = 4 - -8. Suppose 0 = i - 0*i - s. Suppose 0 = 3*d + d - i. Determine q(d).
-7
Let k(s) = -s - 3. Let f = 9 + -14. Give k(f).
2
Let t(v) = -v**3 + 3*v**2 + v**2 + 5 - 2*v + 5*v**2 - 4*v**2. Let n be t(4). Suppose -f + n = -4*u + 2*u, 5*u = f - 28. Let h(j) = j. Determine h(f).
3
Let m(i) = -3*i + 3 + 0 + 4. What is m(5)?
-8
Suppose 0 = 14*u - 32 - 122. Let f(b) = -b**2 + 10*b + 14. Calculate f(u).
3
Suppose 4*n + 4 = -0*i - 4*i, 3*i - 4*n + 24 = 0. Let y(j) = -j**2 - 5*j - 1. Let h be y(i). Let w be (h*3/9)/1. Let b(p) = 8*p**3 - p + 1. What is b(w)?
8
Let c(v) be the third derivative of -v**5/40 - v**4/24 - 2*v**3/3 - 4*v**2. Let u(o) be the first derivative of c(o). Calculate u(4).
-13
Let d(s) be the third derivative of s**5/60 + 5*s**4/24 + 2*s**3/3 + 37*s**2. Calculate d(-6).
10
Let z(q) = -q**2 + 13*q - 3. Let t = -10 + 17. Let b(j) = j**2 - 12*j + 3. Let a(i) = t*b(i) + 6*z(i). Suppose 4*m - 2*m - 8 = 0. Give a(m).
-5
Let v(o) = o - 10. Let x be v(12). Let y(d) be the second derivative of -3/2*d**x + 1/2*d**4 + 2*d + 2/3*d**3 + 1/20*d**5 + 0. What is y(-5)?
2
Let k(a) = a**3 - 5*a**2 - 2*a + 7. Let v be 10 - 0/(3 + 1). Let h = 15 - v. Give k(h).
-3
Let v(t) = -t**2 - 3*t - 3. Let s(h) = -h**2 - 2*h - 3. Suppose r = -r - 4. Let c be s(r). Give v(c).
-3
Let v(j) = 3*j**3 - 9*j**2 - 7*j - 13. Let u(t) = 2*t**3 - 9*t**2 - 7*t - 12. Let r(x) = 4*u(x) - 3*v(x). Determine r(-8).
-17
Suppose 0*q = -4*q + 8. Let u(b) = 6 + q*b**2 + 3*b**3 - 2*b + 0*b - 5. Suppose 0 = 5*w - w - 4. Calculate u(w).
4
Let p(r) = r - 5*r + 5*r + 0*r - 4. Calculate p(0).
-4
Let m(n) = -2*n - 5 - 4*n + 3*n**2 + 1 + 3*n. Determine m(3).
14
Let z(v) = v**3 - 4*v**2 + 2*v - 5. Let k be z(4). Let y be 30/(-8)*8/k. Let d be (-54)/y - (-4)/(-10). Let n(f) = -f**3 + 4*f**2 + 5*f - 4. Give n(d).
-4
Let q(k) = k**2 + 3*k - 7. Let w(s) = -s. Let t(o) = -q(o) + 3*w(o). What is t(-5)?
12
Let b(w) = -w**3 + w**2 - w + 1. Let n be ((-4)/16*0)/1. What is b(n)?
1
Let o(x) be the third derivative of x**5/4 + x**4/24 + 11*x**2. Calculate o(-1).
14
Suppose -2 = -o - 3. Let t(i) = 5*i**3 - i**2 + 1. What is t(o)?
-5
Suppose 0*o = -2*o + 58. Suppose 3*m = 3*a + 9, o = -a + 3*a + 5*m. Let s(d) = -2 - d + 2 - a. Calculate s(-4).
2
Let k(h) = h + 1. Let j be 0/((-7)/((-14)/(-6))). Calculate k(j).
1
Let i(c) = c**2 - 5*c + 1. Let d be (-1)/(-3)*0/4. Suppose -b - 2*b - 30 = d. Let a = 14 + b. Determine i(a).
-3
Let k(q) be the third derivative of q**6/120 - 7*q**5/60 + 7*q**4/24 - 2*q**3/3 - 19*q**2. Let f(j) = j**2 + 4*j - 6. Let b be f(-6). Give k(b).
2
Let w(z) be the first derivative of z**2 - 5*z + 17. Calculate w(5).
5
Suppose 2*x - 20 = -16. Let m(r) be the third derivative of 0 + 0*r - x*r**2 + r**3 - 1/24*r**4. What is m(0)?
6
Let z(d) = -5*d**3 - d**2 - d. Let t be (2*9/3)/2. Suppose t*s - 4 = 7*s. Give z(s).
5
Let z(x) = x + 0*x + 1 - 13*x. Suppose -20*i = -19*i + 1. Calculate z(i).
13
Let r(w) = -14*w - 11 - 13*w + 26*w. What is r(-9)?
-2
Let f(d) = -2*d**2 - 19*d - 12. Let k be f(-9). Let p(m) = m**3 + 2*m**2 - 5*m - 4. Determine p(k).
2
Let x(o) = 3*o + 4. Let u = -34 + 29. Give x(u).
-11
Suppose 0 = -2*k - 7*j + 4*j + 2, 0 = k - 4*j - 23. Let v(a) = -a**2 + 9*a - 7. Determine v(k).
7
Let j(m) = 6*m - 4. Let x(a) = -a**3 + 9*a**2 + 11*a - 13. Let y be x(10). Give j(y).
-22
Let w(f) be the first derivative of -1/3*f**3 + 0*f - 9 + 1/2*f**2. Give w(3).
-6
Let q(s) = 4*s**2 + s - 1. Let y be q(1). Let f(d) = 165*d - 333*d + 167*d + 5. What is f(y)?
1
Let x(u) be the first derivative of u**4/4 + 4*u**3/3 - 7*u**2/2 - 4*u + 17. Let v be (-66)/14 - 4/14. What is x(v)?
6
Let w(o) be the second derivative of 2/3*o**3 - 1/3*o**4 + 0 - o**2 - o + 1/10*o**5. Calculate w(2).
6
Let a(r) = r - 14. Suppose j + 0*j = 6*j. Determine a(j).
-14
Let c(x) = x**2 + 3*x. Let a be c(-3). Suppose a = -0*g + g - 4. Let i(w) = -2*w - 4. Let v(m) = -2*m - 5. Let b(n) = 6*i(n) - 5*v(n). Calculate b(g).
-7
Let x(b) = 6 + 0 - 30*b + 2*b**2 + 34*b - 3*b**2. Determine x(5).
1
Let d(k) be the third derivative of k**6/20 - k**5/30 + k**4/12 - k**3/6 - k**2. Let i = 1 + 0. Give d(i).
5
Let q(x) = x**3 + 12*x**2 + 10*x - 11. Suppose 0 = -2*k - 5*u - 17, -2*u - 2*u = k + 7. Let l be q(k). Let w = l + 4. Let i(p) = -p + 2. What is i(w)?
-2
Let f = 7 - 4. Let h(y) be the first derivative of y**3/3 - y**2/2 - 1. Let b(z) = 7*z**2 - 8*z - 2. Let w(u) = -b(u) + 6*h(u). Calculate w(f).
-1
Let w(v) be the second derivative of v**4/12 + 5*v**3/6 + 3*v**2/2 - 17*v. Let g(a) = -6*a**2 + a. Let d be g(1). Determine w(d).
3
Let l(d) be the third derivative of -d**7/5040 - d**6/180 + d**5/12 - 9*d**2. Let m(i) be the third derivative of l(i). Calculate m(-6).
2
Let y(v) = v**2. Let u(q) = q**3 + 5*q - 1. Let b(x) = -u(x) + 5*y(x). Let m(z) = -z**2 - z + 5. Let o be m(0). Let r = -1 + o. Give b(r).
-3
Suppose 15*s - 3 = 12*s. Let w(z) be the third derivative of 3*z**6/40 + z**5/60 + z**4/24 - z**3/6 - 2*z**2. Determine w(s).
10
Suppose -4*m + 55 = -9*m. Let a = m + 17. Let i(t) = 2*t - 5. Give i(a).
7
Let j = -64 - -72. Let f(r) = r**2 - 6*r - 2. Give f(j).
14
Let c = 6 + -4. Let t(k) = -13*k**2 + 11*k**c + 1 + k**3 - 2*k**3 + k. Give t(-3).
7
Let y(w) = -w + 5. Let q be -1 + (-9)/(27/12). Give y(q).
10
Suppose -5*o - 4 = 1. Let h(v) be the first derivative of 11*v**4/4 - v**2/2 - 5*v + 2. Let y(q) = q**3 - 1. Let t(l) = h(l) - 5*y(l). Give t(o).
-5
Let i(h) = -2*h**2 + 7*h - 6. Suppose 0 = -5*s + 8 + 12. What is i(s)?
-10
Suppose -11 = -3*m + 1. Let y(l) = 11*l**3 - 5*l**2 + 19. Let g(t) = 5*t**3 - 2*t**2 + 9. Let d(s) = -13*g(s) + 6*y(s). What is d(m)?
-3
Let x(k) = -k**2 + 3*k + 3. Suppose -2*r + 1 = -5. Let z(n) = n. Let o(a) = r*z(a) - x(a). What is o(3)?
6
Let o(g) = -g**2 + g - 2. Let j be o(0). Let s be (-5 - j) + 2 + 4. Let x(n) = 7*n + 1. Let u(m) = -20*m - 2. Let p(f) = 4*u(f) + 11*x(f). Give p(s).
-6
Let j = 1 - -1. Let c(a) be the first derivative of 3/2*a**2 + 1/3*a**3 - 1 - 2*a. Determine c(j).
8
Let r(x) = 15*x**3 - x**2 + 1. Let w be (-8)/(-16)*1*2. Give r(w).
15
Let c = -23 - -29. Suppose -h + 16 = -c*h + k, 2*h - 8 = 4*k. Let u(t) = -2*t + 4. What is u(h)?
12
Let z(l) = -2*l + 2. Suppose 0 = -3*v - 4*s + 5*s + 15, -s + 20 = 4*v. Suppose v - 4 = -h. Let w(m) = -3*m**3 + m + 1. Let x be w(h). Calculate z(x).
-4
Let c(u) = u**2 + 2*u + 1. Suppose -4*b + 5*y = 20, 0*b - 4*b = 3*y - 12. Let h be (b + 6)/((-36)/24). Determine c(h).
9
Let x = -11 + 8. Let s = x - -2. Let h(o) = -2*o**2 + o. Determine h(s).
-3
Let n(y) be the third derivative of y**5/60 - y**4/24 - 2*y**2. Let d be n(-1). Let t be d/6*0/(-1). Let h(u) = -u**2 + u - 1. What is h(t)?
-1
Let v(i) = 6*i + 6. Let k(f) = 3*f + 5 + 7*f - 5*f. Let y(r) = -5*k(r) + 4*v(r). Give y(4).
-5
Let h(t) = t**3 - t**2 - t + 6. Suppose 10 = i - 5*q, -i + 3*i = -3*q - 6. Give h(i).
6
Let g(s) = 2*s**2 - 4*s - 1. Let h be 8 + -4 + -1*1. Let t be g(h). Suppose 3 = t*w - 4*w. Let l(z) = -2*z - 2. What is l(w)?
-8
Let h(l) = 4*l**2 + 9*l + 4. Let p(a) = -5*a**2 - 10*a - 4. Let s(q) = -6*h(q) - 5*p(q). Calculate s(5).
1
Let w = 8 + -8. Suppose w = 3*a + 6 - 0. Let o(y) = 3*y - 1. What is o(a)?
-7
Let l(j) = -j + 2. Suppose -6*i = -i - u + 13, -2*i = 2*u + 10. Give l(i).
5
Let c(h) = 3 + 13*h**2 + 1 - h**2 - 3. Calculate c(-1).
13
Let s be (-6)/(-21) - 80/(-14). Let f = -2 + s. Let k(o) = -f*o + o**3 - 6 | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {h: 4, t: 3, v: 6, w: 2, r: 1, i: 3}.
1/969
Two letters picked without replacement from {p: 3, q: 1}. Give prob of sequence pp.
1/2
What is prob of sequence ur when two letters picked without replacement from jzdrdzddzdrzuzdu?
1/60
Four letters picked without replacement from ecececc. Give prob of sequence ceee.
1/35
What is prob of sequence jjjw when four letters picked without replacement from {j: 9, w: 11}?
77/1615
Calculate prob of sequence dq when two letters picked without replacement from qidi.
1/12
Two letters picked without replacement from cmmbmmbc. What is prob of sequence cb?
1/14
Four letters picked without replacement from {g: 3, z: 1, c: 1}. What is prob of sequence gzgg?
1/20
Three letters picked without replacement from wghgwjwhpwgw. What is prob of sequence hpg?
1/220
What is prob of sequence ir when two letters picked without replacement from {i: 1, c: 5, r: 4}?
2/45
Calculate prob of sequence ds when two letters picked without replacement from ssssdsssssdssd.
33/182
Four letters picked without replacement from {c: 2, q: 3, b: 5}. What is prob of sequence qccb?
1/168
What is prob of sequence iyi when three letters picked without replacement from ikkuibyibi?
1/60
What is prob of sequence cwc when three letters picked without replacement from lcmcvvvdvwvlcvd?
1/455
Four letters picked without replacement from {l: 7, q: 1, o: 10}. What is prob of sequence oqol?
7/816
Two letters picked without replacement from roorooororoor. What is prob of sequence ro?
10/39
Two letters picked without replacement from gpppgpgpgpgpgpggggpp. Give prob of sequence pp.
9/38
Calculate prob of sequence cc when two letters picked without replacement from tlwwlcwctclwwwwcwcw.
10/171
Calculate prob of sequence zzh when three letters picked without replacement from zzzzhzhhhz.
1/6
What is prob of sequence ej when two letters picked without replacement from ajjaeajje?
1/9
What is prob of sequence iwu when three letters picked without replacement from {s: 1, u: 10, w: 1, i: 5}?
5/408
Three letters picked without replacement from {q: 3, u: 3, o: 2, j: 3, i: 2, z: 1}. What is prob of sequence quu?
3/364
What is prob of sequence igi when three letters picked without replacement from {y: 2, o: 3, g: 5, i: 10}?
5/76
Two letters picked without replacement from jjsjxxjxxxuxsx. Give prob of sequence xj.
2/13
What is prob of sequence bx when two letters picked without replacement from xxxxbxxxxbbxxxxxxxxb?
16/95
Calculate prob of sequence eqee when four letters picked without replacement from qeqqeeqqqe.
1/35
Four letters picked without replacement from {b: 3, d: 3, u: 1, q: 2, c: 1}. What is prob of sequence qbdc?
1/280
Calculate prob of sequence ssbi when four letters picked without replacement from sbibbsiiib.
2/315
Four letters picked without replacement from aaaaaa. Give prob of sequence aaaa.
1
What is prob of sequence an when two letters picked without replacement from ayqnrnhr?
1/28
Two letters picked without replacement from hiyssinini. What is prob of sequence iy?
2/45
What is prob of sequence ljl when three letters picked without replacement from eeeeleejeeelj?
1/429
What is prob of sequence crc when three letters picked without replacement from rworowrccrw?
4/495
What is prob of sequence rbfs when four letters picked without replacement from {f: 4, b: 5, w: 1, y: 1, r: 1, s: 3}?
1/546
Three letters picked without replacement from cgggmgypgkpygygmg. Give prob of sequence pky.
1/680
Three letters picked without replacement from {j: 7, q: 2, l: 5, h: 4}. What is prob of sequence jqq?
7/2448
Three letters picked without replacement from {h: 8, j: 1, p: 8, b: 2, s: 1}. Give prob of sequence shj.
1/855
What is prob of sequence zjj when three letters picked without replacement from jjjqzqzjjzjzzzjzjqj?
28/323
What is prob of sequence at when two letters picked without replacement from tasast?
2/15
Two letters picked without replacement from {e: 2, l: 4, y: 3, u: 8}. What is prob of sequence ul?
2/17
Three letters picked without replacement from {p: 1, s: 2, q: 2, d: 4}. Give prob of sequence dqs.
2/63
Two letters picked without replacement from {a: 1, e: 2, s: 2}. Give prob of sequence es.
1/5
Calculate prob of sequence mj when two letters picked without replacement from {j: 4, m: 4, q: 1, s: 3, c: 1}.
4/39
Two letters picked without replacement from {b: 1, u: 1, t: 1, e: 1, c: 1, s: 2}. Give prob of sequence cu.
1/42
Calculate prob of sequence uzf when three letters picked without replacement from {z: 2, j: 1, g: 6, k: 1, u: 2, f: 7}.
14/2907
Two letters picked without replacement from zzqzzqzzqq. What is prob of sequence zq?
4/15
Calculate prob of sequence wwww when four letters picked without replacement from {w: 7}.
1
What is prob of sequence xc when two letters picked without replacement from {x: 3, w: 6, y: 3, m: 1, j: 1, c: 1}?
1/70
Calculate prob of sequence toh when three letters picked without replacement from thopptpoipvop.
1/286
What is prob of sequence qjdd when four letters picked without replacement from {v: 1, q: 4, u: 1, l: 2, d: 6, j: 1}?
1/273
What is prob of sequence kknk when four letters picked without replacement from kkkkkkkkkkknkkkkkkk?
1/19
What is prob of sequence lb when two letters picked without replacement from {l: 3, b: 5, m: 4}?
5/44
Calculate prob of sequence gl when two letters picked without replacement from uzzcclgucfu.
1/110
Calculate prob of sequence wbee when four letters picked without replacement from {b: 1, j: 3, v: 4, e: 2, w: 2, x: 2}.
1/6006
Calculate prob of sequence hdnn when four letters picked without replacement from dnhnnndnhd.
1/42
Three letters picked without replacement from xzxzyzkmxmmxzmm. Give prob of sequence xzk.
8/1365
Calculate prob of sequence db when two letters picked without replacement from ppbppdpbpbppbppbbbb.
4/171
Four letters picked without replacement from ntnnwjnjnnwtnwjnnjw. What is prob of sequence nnnt?
7/646
Three letters picked without replacement from {w: 3, g: 2, c: 3, p: 8}. What is prob of sequence gww?
1/280
Four letters picked without replacement from ssuusususuusuususs. Give prob of sequence usuu.
21/340
Two letters picked without replacement from {y: 4, c: 16}. Give prob of sequence yy.
3/95
Three letters picked without replacement from pqqqpppqqpqppqqppqq. What is prob of sequence pqp?
40/323
What is prob of sequence gge when three letters picked without replacement from egeeeeegeeeeeeeeeeeg?
17/1140
Calculate prob of sequence qbb when three letters picked without replacement from qmmmqvqmbimb.
1/220
Four letters picked without replacement from vvlvvllovolovollvl. Give prob of sequence ovll.
49/3060
What is prob of sequence zeh when three letters picked without replacement from {z: 1, h: 2, g: 1, c: 5, p: 2, e: 5}?
1/336
Calculate prob of sequence dka when three letters picked without replacement from {a: 3, k: 4, j: 1, g: 1, d: 5}.
5/182
Two letters picked without replacement from ooowwwo. Give prob of sequence wo.
2/7
Three letters picked without replacement from {f: 6, r: 1, z: 8}. Give prob of sequence zrz.
4/195
Three letters picked without replacement from {f: 1, k: 2}. Give prob of sequence kfk.
1/3
Two letters picked without replacement from rgrgggrrrgghrgrggn. Give prob of sequence nr.
7/306
Two letters picked without replacement from {p: 1, w: 5, x: 1, r: 2, t: 1, m: 5}. What is prob of sequence mx?
1/42
Three letters picked without replacement from eeeeedeedeuueeduueee. Give prob of sequence edd.
13/1140
Calculate prob of sequence vbd when three letters picked without replacement from {e: 4, i: 1, d: 1, b: 2, v: 2}.
1/180
Four letters picked without replacement from {o: 3, r: 4}. Give prob of sequence orro.
3/35
Two letters picked without replacement from {o: 18, p: 1}. Give prob of sequence oo.
17/19
Two letters picked without replacement from {i: 4, d: 1, j: 2, m: 7}. Give prob of sequence mi.
2/13
Two letters picked without replacement from xfbefsexfzfe. Give prob of sequence sf.
1/33
Two letters picked without replacement from ujjuubbbjujjujuuuub. Give prob of sequence jj.
5/57
What is prob of sequence vvvg when four letters picked without replacement from vggvvvvvvvg?
7/55
Two letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
4)/(sqrt(12)/sqrt(2))))**2.
11881/6336
Simplify ((sqrt(17) - sqrt(34)/sqrt(2) - sqrt(17))*-2 + (sqrt(1377) + 1 + sqrt(17))**2)*-5 - ((sqrt(17)*-2*4)**2 + 2*(sqrt(51)/sqrt(3) - sqrt(17)))*-3.
-5241 - 110*sqrt(17)
Simplify ((5*(sqrt(10) + (sqrt(360) - -2*sqrt(360))))/(2*(sqrt(80) - sqrt(5))*3) + 2)**2.
190*sqrt(2)/9 + 9673/162
Simplify 1*(1 + (sqrt(200) - (sqrt(200) - -2*sqrt(200)*-4)) - -1*(5*(2*sqrt(200) + sqrt(200) + sqrt(200)))**2).
80*sqrt(2) + 80001
Simplify (-5 + -2*(0 + sqrt(304) + -5 + sqrt(304) + sqrt(304)))**2 + -4 + (sqrt(1539) + 3 + sqrt(19) + sqrt(304) + 0)**2.
-156*sqrt(19) + 14698
Simplify (4*(sqrt(121) - -1*2*sqrt(121) - -1*-1*sqrt(121)))/(2*sqrt(396) - (sqrt(484) - -1*sqrt(484))/sqrt(11)).
sqrt(11)
Simplify (sqrt(6)/(2*sqrt(2)*2) + 4)**2 + (sqrt(3) - ((-2 + sqrt(3))*-1)**2)*5*1.
-301/16 + 27*sqrt(3)
Simplify 6*((5*(sqrt(190) + (sqrt(190) - sqrt(190)*-3)))/sqrt(10) - -2*5*sqrt(152)/sqrt(8))**2.
139650
Simplify ((sqrt(180)/sqrt(3)*-4)/(sqrt(12) - 3*sqrt(48)/sqrt(4) - sqrt(12)) + (2 + sqrt(80)*2)*2)*-5.
-260*sqrt(5)/3 - 20
Simplify (2 + (sqrt(704) + -5 + 5 + -4 - ((-4*-1*sqrt(704) - sqrt(704)) + -2)))**2.
2816
Simplify (((sqrt(1008) - 6*(sqrt(1008) + 3) - (sqrt(1008) - (2 + sqrt(1008)*2))) + -4)*-6)**2.
69120*sqrt(7) + 595008
Simplify (((0 + sqrt(153))*-4 + 4)**2 - ((sqrt(153) + (-5 + 2*sqrt(153) - sqrt(153)))**2 - (-3 + sqrt(153)*-1))) + -1.
-39*sqrt(17) + 1823
Simplify -2 + 4*(3*(sqrt(121)/sqrt(99))**2*4 - -2*(sqrt(11) - (sqrt(33)/sqrt(3) - sqrt(11)))**2*-2*3).
-1414/3
Simplify (((-2*sqrt(209)*-3 - 5*sqrt(209)*-1)*-5)/(sqrt(1617)/sqrt(3) - (6*sqrt(77))/sqrt(7)))**2.
57475
Simplify (5 + -2 + (sqrt(475) + -3*sqrt(475) - sqrt(475)) + -2 + -5*sqrt(475)*-2 + sqrt(475) + 5 + -4)**2.
160*sqrt(19) + 30404
Simplify -1*(4*(-3 + (sqrt(1377) - (sqrt(1377) + 1)) + 6*sqrt(1377)*1)*3*-4)**2 + -5.
-114250757 + 995328*sqrt(17)
Simplify 4*(sqrt(297)/(sqrt(11)*-2) + sqrt(972)*-3)/((sqrt(729) + sqrt(729) + (-3*sqrt(729) - sqrt(729)) - sqrt(729) - sqrt(729)) + (3*sqrt(1296) - sqrt(9))).
74*sqrt(3)
Simplify (4*-4*(1 + sqrt(363) + -4 + (sqrt(363) - (sqrt(363) - (-5 + sqrt(363) + -2 - sqrt(363)))))*3)**2*3.
-1520640*sqrt(3) + 3200256
Simplify -1 + (-1*sqrt(1700) - sqrt(85)/sqrt(5)*1) + (2 + (sqrt(1088) + -1 + sqrt(1088) + -2 + sqrt(1088))*5)**2.
-3131*sqrt(17) + 244968
Simplify (sqrt(14)/(sqrt(16)/sqrt(8)) - 3*sqrt(343)) + (5*((sqrt(175) - sqrt(175)*2) + sqrt(175) + 5))**2.
-20*sqrt(7) + 625
Simplify (sqrt(119) + 1*sqrt(119)*3)/(sqrt(7)*2*5) - ((sqrt(833) + 0)**2*-2 + (sqrt(612) + 0)**2 + -3).
2*sqrt(17)/5 + 1057
Simplify -1*(1 + (sqrt(1300) - 4*-3*sqrt(1300))**2 + ((sqrt(1300) - (sqrt(1300) - 4*sqrt(1300))**2) + sqrt(1300))*-5) + -3.
-278204 + 100*sqrt(13)
Simplify -6*(-6*(((2*sqrt(102) - sqrt(102))*2 + sqrt(102))/(sqrt(24)/sqrt(36)) + 2*(2 + 2 + sqrt(425) - sqrt(425))))**2.
-311256 - 31104*sqrt(17)
Simplify ((sqrt(700) - (2 + sqrt(700)))**2 - (-2 + sqrt(175))**2) + -2 - (1 + sqrt(42)/sqrt(6) - (sqrt(7) - (3*sqrt(7) + -2)**2 - sqrt(7))).
-245 + 31*sqrt(7)
Simplify sqrt(42)/(sqrt(6) - 3*sqrt(6)) + sqrt(252)*4 + 0 + (-2*-1*sqrt(70))/(2*sqrt(1440)).
283*sqrt(7)/12
Simplify (2*sqrt(832) - sqrt(832))/(sqrt(4) + sqrt(576) + sqrt(576)*-2) + ((sqrt(208) + -1 - sqrt(208)) + -2 + 3 + -1)**2.
-4*sqrt(13)/11 + 1
Simplify sqrt(16)/sqrt(128) - sqrt(2) - ((sqrt(2)*2)**2 - sqrt(2))*-3 - ((sqrt(72)*2)/sqrt(3))/(sqrt(12) + sqrt(36)/sqrt(3)*-2).
-7*sqrt(2)/4 + 24
Simplify (-6*((5 + sqrt(98) + 1)*6 + -5 + (sqrt(98) - (2*sqrt(98)*-3 + sqrt(98)))))**2.
187488*sqrt(2) + 542628
Simplify 3 + (-5*2*sqrt(228)*5)/(2*(sqrt(108) - (-2*sqrt(108) - sqrt(108) - sqrt(108))) + sqrt(108) - sqrt(108)).
-5*sqrt(19)/3 + 3
Simplify (-4*(sqrt(153)*-2 + sqrt(153)) - sqrt(153))/(sqrt(63)/sqrt(252)) + 5 + (sqrt(833)*1)**2 + -3 + -2.
18*sqrt(17) + 833
Simplify -5*((-1*sqrt(2448)*-5)**2 + 4 - ((2 + sqrt(2448) + 4 - sqrt(2448)) + 3)**2).
-305615
Simplify -2 + (0 + -5 + (sqrt(832) + (sqrt(832) - ((sqrt(832) + 1 - sqrt(832)) + 2))**2 - sqrt(832))*1)*-1*-2.
-96*sqrt(13) + 1670
Simplify (5 + ((sqrt(153) + sqrt(153)*-2)*-3 - sqrt(153)) + -4 - (sqrt(153) + 4*(2 + sqrt(153)) - 2*(sqrt(153) + sqrt(153) + -1)))**2*2.
-108*sqrt(17) + 468
Simplify (sqrt(11)*2)**2 + 4 + (-4*sqrt(11) + 5 - sqrt(11)) + -5*sqrt(110)/(sqrt(40)/(sqrt(4) - -1*sqrt(4))).
-15*sqrt(11) + 53
Simplify -3 + 3 + (0 + sqrt(5) + -2 - sqrt(5)) - (4*sqrt(720)*2 + -3)**2.
-46091 + 576*sqrt(5)
Simplify -2*(-5*((-5 + 6*sqrt(720)*2)*-6 + 4))**2.
-186681800 + 2937600*sqrt(5)
Simplify 1*(sqrt(325) + 1 + 1)**2 + (sqrt(637) + -2)*-3 + 4.
-sqrt(13) + 339
Simplify 5 + (2*((-2*(1 + sqrt(396)) - (sqrt(396) - (4 + sqrt(396) + 4))) + 2))**2 + 4.
-768*sqrt(11) + 6601
Simplify ((sqrt(10)/(sqrt(6)/sqrt(3)) + 2 + sqrt(25)/sqrt(5))*-1 - (sqrt(810) + sqrt(810)*-1 - sqrt(10))/((sqrt(2) + 1*sqrt(2))*-4))**2.
17*sqrt(5)/2 + 1701/64
Simplify 4 + -1*(sqrt(192)*1)**2*-1 + 3 + sqrt(192) + 2 + -3.
8*sqrt(3) + 198
Simplify -2*(sqrt(1700) + -1*(sqrt(1700) + 1)**2 + sqrt(1700) + -3*sqrt(1700) + 3 - ((sqrt(1700) + -1 + sqrt(1700))*4 - (5 + sqrt(1700) + 2))).
200*sqrt(17) + 3374
Simplify ((-2*(sqrt(187) - (1*sqrt(187) - sqrt(187))) - sqrt(187)) + sqrt(187))/(sqrt(99) + 2*sqrt(99)) + (-3 + sqrt(1088) - (-5 + sqrt(17) + sqrt(17)*2))**2.
178*sqrt(17)/9 + 429
Simplify (sqrt(52)/sqrt(4)*-1 - sqrt(13))**2 + sqrt(13) + -4 - ((5*sqrt(13)*-1)**2 + sqrt(468) + 1) - (-4*sqrt(91)*-2)/(sqrt(14)/sqrt(2)*6).
-278 - 19*sqrt(13)/3
Simplify (((0 + sqrt(612))*3 - 5*1*sqrt(612)) + 2 + sqrt(612) + 2 + -4)**2.
612
Simplify (3*sqrt(153)*-6 + (sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153)*-3)*5)/(6*(-5*sqrt(36)*1)/sqrt(4)).
3*sqrt(17)/5
Simplify ((-2 + (sqrt(1152) + 4*(sqrt(1152) + 2))*4 + 2)*-6)**2.
1105920*sqrt(2) + 16625664
Simplify -2 + 4 + 0 + (-5 + 1 + sqrt(325) - (sqrt(13)*-1*-6 + -2)**2).
-474 + 29*sqrt(13)
Simplify (((sqrt(68) + -2)*-5 - (sqrt(68) + 3 + 2)) + ((2*sqrt(68) - sqrt(68)) + -2 - -3*1*sqrt(68)))**2.
-24*sqrt(17) + 281
Simplify 1*-2*(1 + (sqrt(2736) - 6*(sqrt(2736) + -1 + sqrt(2736) - sqrt(2736)))**2 + -6*(sqrt(2736) + -2 + 3)).
-136862 + 1584*sqrt(19)
Simplify ((6*(sqrt(110)*-1 + sqrt(110) + sqrt(110)))/(sqrt(15)/sqrt(27)))/((sqrt(88) - -6*(sqrt(88)*-1 - sqrt(88)))/(sqrt(48)/(-1*sqrt(6)))) + -5.
-5 + 18*sqrt(2)/11
Simplify (-2*(sqrt(1573) + 0) + (-2 + sqrt(1573))*-3 + (sqrt(130) - -2*1*sqrt(130))/(-2*sqrt(40)))**2.
-669*sqrt(13) + 647053/16
Simplify (sqrt(10)*2*3 + sqrt(10))/(sqrt(4)/sqrt(2)*4) + (2 + sqrt(55)/sqrt(11) - 1*sqrt(5)*4).
-5*sqrt(5)/4 + 2
Simplify 1 + sqrt(99)*1 + sqrt(99)*1 + -3 + (-4*(-1*sqrt(44) - sqrt(44)) - sqrt(44))/(sqrt(32)/sqrt(128)).
-2 + 34*sqrt(11)
Simplify 1 + (-1*(-3*sqrt(117) + 4 - (-3*(-2 + sqrt(117)) - sqrt(117))) + 4)**2.
-36*sqrt(13) + 154
Simplify ((sqrt(756)*1)/sqrt(12))/(sqrt(81)/(sqrt(9) + sqrt(144))) - (((4*(sqrt(7)*2 - sqrt(7)))**2 - (sqrt(343) + -3)) + 5).
-120 + 12*sqrt(7)
Simplify -5*1*(sqrt(1700) + -1 + -2 + -2*(sqrt(1700) - (sqrt(1700) + -3 + sqrt(1700))) + sqrt(1700))**2 + -4.
-136409 + 3600*sqrt(17)
Simplify (sqrt(160)/(-4*sqrt(20)/sqrt(4)))**2 + sqrt(2048)*2 + -1.
1 + 64*sqrt(2)
Simplify 5 + (-2*2*sqrt(396) + sqrt(396) + -3 + sqrt(396) + -1 + (-5*sqrt(99)*2)/(4*sqrt(81)))**2.
308*sqrt(11)/3 + 65975/36
Simplify 3*4*((sqrt(396) + 2 + 1)**2 + (sqrt(1584) + -4 + -4)**2)*5.
-9360*sqrt(11) + 123180
Simplify ((3*(sqrt(7) + 3 + sqrt(7)) - sqrt(42)/sqrt(96))*6 - (2 + 1 + 2*sqrt(1008)*-4))**2.
13311*sqrt(7) + 487251/4
Simplify (sqrt(864) - (-2*sqrt(864) - sqrt(864)) - sqrt(864) - -1*(sqrt(24)*2 + sqrt(24)))/(sqrt(288)*1 + sqrt(288) - (sqrt(8) - (sqrt(8) + 1*sqrt(8)*-1)))*5.
105*sqrt(3)/11
Simplify (-6*(sqrt(252) + (sqrt(252) + -2 - sqrt(252)) + 2) - (-1*sqrt(280)/sqrt(5))/(sqrt(128)*-1))**2.
147175/16
Simplify (-4*(0 + -2*((sqrt(4800) + 5)*1 + sqrt(4800))))**2.
51200*sqrt(3) + 1230400
Simplify 2 + (((sqrt(1125) + (sqrt(1125) - -3*sqrt(1125)))*4 - sqrt(1125)) + sqrt(1125))/(-4*sqrt(36)/(sqrt(12)/sqrt(3))).
-25*sqrt(5) + 2
Simplify (1*sqrt(320) + -1 - (-1 + sqrt(320) + 0)) + (1*sqrt(720))**2*-2*-3.
4320
Simplify (sqrt(132) + -2*(-3*sqrt(132) - sqrt(132)))/(sqrt(12) - (sqrt(96)*3)/sqrt(8)) - (-2*(3*sqrt(88) - sqrt(88)))/((sqrt(96)*-1)/sqrt(12)).
-17*sqrt(11)/2
Simplify -2*sqrt(143)/(sqrt(99)*-6) + 3 - (3*sqrt(156)*-5)/(sqrt(12) - (sqrt(120)* | {
"pile_set_name": "DM Mathematics"
} |
t b(c) = 703*c**2 - 133*c + 133. Let m(a) = -13*a - 9*a**2 - 2*a - 3 - 7*a**2 + 18*a. Give -3*b(k) - 133*m(k).
19*k**2
Let t(r) = -35*r + 1. Let g(w) = 116*w - 5. Let n(h) = -4*g(h) - 14*t(h). Let o(b) = -728*b - 169. Calculate -169*n(v) - 6*o(v).
-26*v
Let m(g) = -17*g + 4. Let o(p) = -108 + 34*p + 321 - 110 - 110. What is 5*m(d) + 3*o(d)?
17*d - 1
Let v(u) = u**2 - u + 5. Let k(s) = 2*s**3 - 223*s**2 + 2648*s - 197. Let j be k(98). Let i = 5 - -1. Let b(c) = i*c - c - 1 - 4*c. Calculate j*v(l) - 3*b(l).
-l**2 - 2*l - 2
Let t(j) = -4*j - 108. Let l(c) = -13. Give 8*l(q) - t(q).
4*q + 4
Let z(b) = 201*b + 71. Let w(f) = 200*f + 79. Determine 8*w(p) - 9*z(p).
-209*p - 7
Let a(p) = -p**2 + 121*p - 1408. Let q be a(108). Let k(b) = -3*b - 10. Let x(t) = 3*t + 9. What is q*k(d) - 5*x(d)?
-3*d - 5
Let u(y) = 36*y - 16. Let g(a) = -2*a + 3. Let h be g(0). Suppose m - 1 = -x + h, 4*x + 2*m - 12 = 0. Let t(q) = -3 - x*q + 8*q + q. What is 16*t(p) - 3*u(p)?
4*p
Let a(x) = -24*x**3 + 6*x + 6. Let k be (168/78 + -2 + (-1056)/104)/(-2). Let z(b) = 23*b**3 - 5*b - 5. Calculate k*a(d) + 6*z(d).
18*d**3
Let r(p) = -60*p - 12. Let h(n) = 16*n + 21 + 11 + 12 + 9 - 71*n. Let z(k) = 18*k - 19. Let a(d) = 6*h(d) + 17*z(d). Give 12*a(b) - 5*r(b).
12*b
Let b(x) = -27*x**2 - 7*x - 8. Let m(c) = 46*c**2 + 13*c + 15. Calculate 7*b(z) + 4*m(z).
-5*z**2 + 3*z + 4
Let l(b) = 8*b - 1. Let s = 8278 - 8261. Let k(o) = 23*o - 3. What is s*l(q) - 6*k(q)?
-2*q + 1
Let p be 138/(-8) - 3/(-12). Let y = 113759 + -113753. Let z(c) = -12*c**2 - 14*c - 3. Let x(w) = -4*w**2 - 5*w - 1. Determine p*x(s) + y*z(s).
-4*s**2 + s - 1
Let z be 6/(-10) + (1764/(-35))/(-14). Let h(j) = -2 + 4 - 3 + j + 0*j. Let v(y) = -9*y + 3. Calculate z*h(f) + v(f).
-6*f
Let n(i) = -i**2 + i - 1. Let t(v) = 3. Suppose -2*k = -5 + 3. Let o be 5/(5/(-1)) - (0 - 2). Give k*n(f) + o*t(f).
-f**2 + f + 2
Let q(m) = -18*m - 1. Let o(a) = -19*a - 1. Suppose -19*n - 51 = -16*n - 20*n. Give n*o(r) - 4*q(r).
15*r + 1
Let w(r) be the first derivative of r**3/3 + 5*r**2/2 + r + 303. Let d(u) = -u. What is 10*d(v) + 2*w(v)?
2*v**2 + 2
Let q(s) = 4780*s + 28. Let f(y) = -4781*y - 37. Give 3*f(k) + 4*q(k).
4777*k + 1
Let s(v) = -9*v + 44. Suppose -5*u - 34 = -3*w, -3*u + 32*w - 50*w + 39 = 0. Let i(q) = -14*q + 66. Determine u*i(z) + 8*s(z).
-2*z + 22
Let p(b) = 4*b - 1105. Let l(t) = -3*t + 1090. What is 7*l(q) + 6*p(q)?
3*q + 1000
Let d(o) = 5*o. Let s(r) = -12*r + 58. Let v(a) = -5*a + 25. Let b(z) = -3*s(z) + 7*v(z). Determine 2*b(y) - d(y).
-3*y + 2
Let u be (-56)/(-10) - (-6)/15. Let f(s) be the third derivative of 24*s**2 + 0*s + 0 + 1/3*s**3 + 1/6*s**4. Let b(p) = p + 1. Calculate u*b(g) - 2*f(g).
-2*g + 2
Let d(v) = 150*v - 2744. Let y(i) = -266*i + 4802. Determine 16*d(p) + 9*y(p).
6*p - 686
Let x(m) = 26*m - 120*m + 29*m - 3 + 32*m + 5 + 26*m. Let o be (-1)/(1 + 12/(-9)). Let r(c) = 4*c - 1. Determine o*x(p) + 5*r(p).
-p + 1
Let c(z) = 6*z**2 + z + 2. Suppose 436*i + 120 = 412*i. Let x = -6 - -6. Let y(b) = 4*b**2 + 0*b + x*b - 5*b**2. What is i*y(l) - c(l)?
-l**2 - l - 2
Let a(r) = -22*r**2 - 40*r + 36. Let p(c) = c**2 - 3*c - 2. What is 2*a(n) + 36*p(n)?
-8*n**2 - 188*n
Let p(f) be the second derivative of f**3/6 + 385*f. Let d(t) = -3*t - 19. Give -d(y) - 4*p(y).
-y + 19
Let f(d) = d**2 + 11*d - 1. Let z(h) = -886*h**2 - 11*h + 1. Give -f(a) - z(a).
885*a**2
Let a(k) = k**2 - 5*k + 6. Suppose 0 = 5*u - 2*u - 12. Let p be a(u). Let i be ((-1)/p)/((-9)/36). Let g(m) = -4. Let y(v) = v + 1. What is i*y(q) + g(q)?
2*q - 2
Let p(b) = 9*b**2 - 7*b + 3. Let g(x) = 16*x**2 + 6*x + 13. Let c(t) = 4*t**2 + t + 3. Let n(r) = -9*c(r) + 2*g(r). Calculate -5*n(l) - 2*p(l).
2*l**2 - l - 1
Let x(m) = -m**2 + 4*m - 4. Let p be (-32)/(-12) - 3 - (-17 + (-354)/(-18)). Let c(y) = -5*y + 3. Determine p*x(o) - 2*c(o).
3*o**2 - 2*o + 6
Let n(f) be the second derivative of -f**3/6 - 2*f**2 - 139*f + 1. Suppose -3*b + 4 = -b. Let v(d) = -5*d - 21. What is b*v(y) - 11*n(y)?
y + 2
Let r(o) = -7*o**3 + 5*o - 5. Let z(h) be the third derivative of 0*h**5 + 36*h**2 + 1/30*h**6 - 1/8*h**4 + 0*h + 0 + 1/2*h**3. Determine 6*r(d) + 10*z(d).
-2*d**3
Let n(y) = y**2 + 17*y - 6. Let b(z) = z**2 + 16*z - 7. Let o(w) = -w**3 + 6*w**2 - 11*w + 72. Let c be o(6). Calculate c*b(r) - 7*n(r).
-r**2 - 23*r
Let q(g) = 84*g - 35. Let k(f) = -5*f - 4. Let r(n) = -5*n - 1. Let w(d) = -k(d) + 2*r(d). Calculate 4*q(b) + 70*w(b).
-14*b
Let v(i) = -12*i**2 + 2*i. Let c(j) = -23*j**2 + 5*j. Let s = -1127 + 1129. Determine s*c(t) - 5*v(t).
14*t**2
Let r(d) = 11*d**2 + 1876*d - 2. Let h(w) = 13*w**2 + 1877*w - 2. Give -6*h(s) + 7*r(s).
-s**2 + 1870*s - 2
Let x(j) = 328*j**3 - 7*j**2 - 14*j + 14. Let h(y) = -328*y**3 + 6*y**2 + 13*y - 12. Give -7*h(f) - 6*x(f).
328*f**3 - 7*f
Let n(p) = 23*p**3 + 2686*p**2 + 2. Let h(a) = 38*a**3 + 5371*a**2 + 3. What is -3*h(j) + 5*n(j)?
j**3 - 2683*j**2 + 1
Let l(s) be the first derivative of 0*s**2 - 79 + 13*s + 11/3*s**3. Let w(p) = p**2 - 6*p - 4. Let k be w(6). Let v(y) = 5*y**2 + 6. Calculate k*l(n) + 9*v(n).
n**2 + 2
Let t(m) = 13*m**2 + 2585*m + 257. Let x(y) = -6*y**2 - 1293*y - 114. What is -4*t(p) - 9*x(p)?
2*p**2 + 1297*p - 2
Let o(x) = 101*x + 4186. Let c(z) = -38*z - 1395. Give -8*c(r) - 3*o(r).
r - 1398
Let t(r) = -8*r + 26. Let m(y) = 26*y - 53. Determine 3*m(g) + 7*t(g).
22*g + 23
Suppose -5*a + 21 = -3*t, a - 23 = -17. Let p(h) = -36*h - 3. Let k(c) = 35*c + 4. What is t*k(r) + 4*p(r)?
-39*r
Let x(w) = -6*w**3 - 4*w**2 + 148*w + 20. Let l(n) = 5*n**3 + 3*n**2 - 147*n - 15. Calculate 4*l(p) + 3*x(p).
2*p**3 - 144*p
Let q(s) = -2697*s**2 - 21*s - 75. Let x(r) = 1347*r**2 + 11*r + 40. Determine -8*q(n) - 15*x(n).
1371*n**2 + 3*n
Let w be ((3192/12)/19)/2. Let l(n) = 2*n**3 + 2*n**2 - 34. Let x(d) = 6*d**3 + 7*d**2 - 101. Give w*l(a) - 2*x(a).
2*a**3 - 36
Let j(f) = 14*f**3 + 4*f**2 - 436*f + 13. Let o(d) = -31*d**3 - 9*d**2 + 872*d - 27. Give 9*j(l) + 4*o(l).
2*l**3 - 436*l + 9
Let m(d) = -6*d**3 - 35*d**2 + 3*d + 3. Let x(t) = 11*t**3 + 68*t**2 - 5*t - 5. Give 5*m(z) + 3*x(z).
3*z**3 + 29*z**2
Let b(f) = 48*f**2 + 54*f - 3414. Let s(p) = -7*p**2 - 8*p + 488. Give 4*b(k) + 27*s(k).
3*k**2 - 480
Let s(b) = -7*b**2 + 2*b - 1. Let p(h) = 0*h + 14574*h**2 + 0*h + 14565*h**2 + 14639*h**2 - 43779*h**2. Let x be ((-5)/2)/(1/2). Calculate x*p(v) + s(v).
-2*v**2 + 2*v - 1
Suppose -515*y = -507*y + 24. Let l(n) = 10*n**2 - n + 6. Let g(j) = 5*j**2 - j + 3. Give y*l(c) + 5*g(c).
-5*c**2 - 2*c - 3
Let n = 4874 + -4869. Let j(a) = -32*a**2 - 5*a - 5. Let p(k) = -48*k**2 - 8*k - 8. Calculate n*p(o) - 8*j(o).
16*o**2
Let v(d) = 9*d**3 - 8*d**2 - 1584*d - 8. Let s(g) = 3*g**3 - 2*g**2 + 2*g - 2. Give -4*s(n) + v(n).
-3*n**3 - 1592*n
Let h(o) = 7549*o**3 + 5*o**2 - 50*o - 5. Let c(k) = -2*k**3 + k**2 - 10*k - 1. Determine -5*c(j) + h(j).
7559*j**3
Let y(x) = 6*x**3 + x**2 + x + 2. Let h(t) = 52*t**3 - 8*t**2 - 5*t - 22. Determine -h(b) - 5*y(b).
-82*b**3 + 3*b**2 + 12
Let x(p) = -19*p**3 - 7*p. Suppose 0 = 41*y - 39*y - 3*q + 23, 5*y = -5*q + 5. Let k(i) = 9*i**3 + 4*i. What is y*x(n) - 7*k(n)?
13*n**3
Let k(r) = 10*r**2 + 39*r + 4. Let l(j) = 9*j**2 + 28*j + 5. Let b(i) = -2*k(i) + 3*l(i). Let y(a) = -7*a**2 - 7*a - 8. Give 5*b(q) + 4*y(q).
7*q**2 + 2*q + 3
Let q(d) = 20*d - 8. Let w be q(2). Suppose w + 4 = -9*x. Let l(s) = 3*s + 2. Let t(a) = -48*a - 33. Give x*t(n) - 66*l(n).
-6*n
Let o(v) = 17*v - 2. Let z(s) = 205*s - 25. Suppose 0 = -36*l + 461 + 439. Determine l*o(p) - 2*z(p).
15*p
Let w(d) = 3*d**3 - 5*d**2 - 5*d + 16. Let l(f) = 4*f**3 - 7*f**2 - 7*f + 24. Let a be (-1)/(4/140*-7). Calculate a*l(b) - 7*w(b).
-b**3 + 8
Let j(y) be the first derivative of y**4/4 - y**3/3 - y - 2296. Let n(u) = 4*u**3 - 3*u**2 + 6*u - 5. Determine -5*j(w) + n(w).
-w**3 + 2*w**2 + 6*w
Let i = -6766 + 6717. Let l(d) = 15*d + 34*d - 26*d**3 - 40*d**3 - 46*d**3. Let x(s) = -7*s**3 + 3*s. Calculate i*x(z) + 3*l(z).
7*z**3
Let w(u) = -105*u**3 + 5*u - 5. Let f(g) = 1628*g**3 - 77*g + 77. Let a = -18342 + 18419. Calculate a*w(n) + 5*f(n).
55*n**3
Let b(p) = -2*p + 3. Let z(m) = 86*m + 7. Let v(w) = -108*w - 8. Let r(j) = -4*v(j) - 5*z(j). Give -3*b(a) - 2*r(a).
2*a - 3
Let w(c) = -7*c**3 + 6*c**2 - 4*c - 9. Let r(b) be the first derivative of | {
"pile_set_name": "DM Mathematics"
} |
n 6.529153mm?
0.6529153
How many months are there in 65.68831 centuries?
78825.972
What is 4/75 of a minute in milliseconds?
3200
How many kilograms are there in 8460.704ng?
0.000000008460704
What is 45/8 of a litre in millilitres?
5625
What is thirteen quarters of a millisecond in microseconds?
3250
Convert 0.9472341 weeks to microseconds.
572887183680
Convert 0.5223078km to meters.
522.3078
How many months are there in 21/2 of a year?
126
What is 2.4706806 nanoseconds in minutes?
0.00000000004117801
Convert 0.4300652 litres to millilitres.
430.0652
What is one quarter of a litre in millilitres?
250
What is fourty-eight fifths of a centimeter in millimeters?
96
Convert 2489.848 days to hours.
59756.352
What is 37/2 of a litre in millilitres?
18500
What is 9317.104 grams in milligrams?
9317104
Convert 85265.74mg to nanograms.
85265740000
How many milliseconds are there in 838.9628 days?
72486385920
Convert 87712.77l to millilitres.
87712770
How many nanometers are there in 1/4 of a micrometer?
250
How many nanograms are there in 3/8 of a microgram?
375
How many months are there in 1/6 of a year?
2
How many centimeters are there in 76/5 of a meter?
1520
Convert 4.462065 millimeters to centimeters.
0.4462065
Convert 286902.3 hours to microseconds.
1032848280000000
How many months are there in 25/4 of a decade?
750
How many hours are there in 225828.4 weeks?
37939171.2
Convert 88.49806 millennia to months.
1061976.72
What is 8.242511kg in milligrams?
8242511
How many millennia are there in 300.619 decades?
3.00619
What is 8/7 of a week in hours?
192
Convert 4148.051l to millilitres.
4148051
Convert 50180.19 tonnes to grams.
50180190000
How many months are there in twenty-nine thirds of a decade?
1160
What is 11/4 of a centimeter in micrometers?
27500
How many hours are there in five sixths of a day?
20
What is 13/5 of a gram in milligrams?
2600
What is 44.09487cm in millimeters?
440.9487
How many years are there in 4.386613 millennia?
4386.613
What is 44/5 of a gram in milligrams?
8800
What is 19.85796 micrograms in tonnes?
0.00000000001985796
What is three tenths of a gram in milligrams?
300
How many minutes are there in thirty-four fifths of a week?
68544
Convert 0.1308962 centuries to millennia.
0.01308962
What is 74.92048 litres in millilitres?
74920.48
How many millimeters are there in 0.7092635 nanometers?
0.0000007092635
What is three sevenths of a week in hours?
72
What is 0.0828613ml in litres?
0.0000828613
How many months are there in one sixth of a year?
2
What is 3/32 of a kilogram in milligrams?
93750
How many micrometers are there in thirteen fifths of a millimeter?
2600
How many kilograms are there in seventy-one fifths of a tonne?
14200
What is seventeen quarters of a hour in seconds?
15300
How many months are there in 11/2 of a year?
66
What is 69.08777um in kilometers?
0.00000006908777
How many grams are there in 3848.137mg?
3.848137
How many hours are there in seven thirds of a day?
56
What is 81.85703 millimeters in micrometers?
81857.03
How many millilitres are there in 17/4 of a litre?
4250
What is 0.0644906 litres in millilitres?
64.4906
How many nanoseconds are there in 1/20 of a microsecond?
50
What is 69/2 of a litre in millilitres?
34500
What is 420.574t in nanograms?
420574000000000000
Convert 153.2792 millilitres to litres.
0.1532792
Convert 0.5176937 meters to millimeters.
517.6937
Convert 74942.9 micrograms to kilograms.
0.0000749429
How many minutes are there in one twentieth of a hour?
3
What is 26/5 of a centimeter in millimeters?
52
How many litres are there in 0.6065195 millilitres?
0.0006065195
What is 7.373863l in millilitres?
7373.863
What is 3/5 of a day in seconds?
51840
How many weeks are there in 214294.248ms?
0.0003543225
Convert 0.674965 weeks to nanoseconds.
408218832000000
Convert 63039.89um to centimeters.
6.303989
How many grams are there in 72/5 of a kilogram?
14400
How many milligrams are there in 47.95985t?
47959850000
How many months are there in 1/30 of a century?
40
Convert 451244.5 days to hours.
10829868
How many millilitres are there in 21.98739l?
21987.39
Convert 1395.596mg to tonnes.
0.000001395596
What is 56097329.4 minutes in weeks?
5565.21125
What is thirteen fifths of a micrometer in nanometers?
2600
How many micrometers are there in twenty-one quarters of a centimeter?
52500
What is 90.7321149ns in weeks?
0.00000000000015002003125
How many nanograms are there in 6094.93t?
6094930000000000000
What is fifteen quarters of a minute in seconds?
225
What is seventeen tenths of a litre in millilitres?
1700
How many nanometers are there in 379.5682um?
379568.2
What is five eighths of a litre in millilitres?
625
How many months are there in 31/6 of a decade?
620
What is 0.4687489m in kilometers?
0.0004687489
Convert 309965.4 months to decades.
2583.045
How many millilitres are there in 0.401492l?
401.492
What is 0.4595726 microseconds in milliseconds?
0.0004595726
What is 24.437562 months in centuries?
0.020364635
What is 51/2 of a litre in millilitres?
25500
How many nanometers are there in eleven quarters of a micrometer?
2750
What is 507739.6l in millilitres?
507739600
What is twenty-seven fifths of a kilogram in grams?
5400
Convert 4073.6961ms to hours.
0.00113158225
What is three tenths of a minute in seconds?
18
What is 38329.57 days in minutes?
55194580.8
What is 1/16 of a centimeter in micrometers?
625
What is 29/5 of a kilometer in meters?
5800
Convert 534.2155 years to centuries.
5.342155
Convert 5.041673mg to kilograms.
0.000005041673
How many minutes are there in 11/2 of a week?
55440
How many centuries are there in 247.2308 millennia?
2472.308
How many kilometers are there in 70765.19 meters?
70.76519
How many kilograms are there in 50.36765 milligrams?
0.00005036765
What is 54/5 of a millennium in years?
10800
How many minutes are there in 11/4 of a day?
3960
How many micrometers are there in 5.332545 nanometers?
0.005332545
What is 8/25 of a century in months?
384
How many months are there in 8/3 of a century?
3200
How many grams are there in three tenths of a kilogram?
300
How many millimeters are there in 11/2 of a centimeter?
55
How many micrograms are there in three tenths of a milligram?
300
Convert 542149.2ns to hours.
0.000000150597
What is 43/2 of a meter in centimeters?
2150
How many minutes are there in 44/5 of a week?
88704
What is seven eighths of a kilometer in centimeters?
87500
How many years are there in 14.26041 millennia?
14260.41
What is 8/25 of a millisecond in microseconds?
320
How many seconds are there in 0.3498241 days?
30224.80224
What is 10/3 of a minute in seconds?
200
What is 12/25 of a millimeter in micrometers?
480
What is sixty-eight thirds of a week in hours?
3808
How many micrometers are there in 17/4 of a centimeter?
42500
What is 290499.4 kilometers in micrometers?
290499400000000
What is twenty-six fifths of a decade in months?
624
What is 2131.1847 months in years?
177.598725
What is 1/24 of a century in months?
50
How many centimeters are there in 29/5 of a meter?
580
What is 37/2 of a litre in millilitres?
18500
How many meters are there in twenty-nine halves of a kilometer?
14500
How many seconds are there in 864726.4 milliseconds?
864.7264
How many millilitres are there in seven eighths of a litre?
875
What is 25/8 of a centimeter in micrometers?
31250
Convert 40035.861 nanoseconds to hours.
0.0000000111210725
How many tonnes are there in 694.638ug?
0.000000000694638
Convert 298918.5kg to grams.
298918500
What is five eighths of a kilogram in grams?
625
How many years are there in 3/10 of a decade?
3
Convert 4200.05nm to kilometers.
0.00000000420005
What is 7/4 of a kilometer in meters?
1750
How many millilitres are there in twenty-one halves of a litre?
10500
What is 0.9837327ug in tonnes?
0.0000000000009837327
How many milligrams are there in 8.469007 kilograms?
8469007
Convert 0.7376598 millennia to decades.
73.76598
How many micrometers are there in 6/25 of a centimeter?
2400
Convert 7.398847 tonnes to kilograms.
7398.847
What is 13/4 of a tonne in kilograms?
3250
How many nanograms are there in 50.91258kg?
50912580000000
How many kilograms are there in 6/5 of a tonne?
1200
How many millilitres are there in 3/10 of a litre?
300 | {
"pile_set_name": "DM Mathematics"
} |
decimal places.
-0.000007
Let t = 131.67 + -710.46. Round t to the nearest 100.
-600
Suppose 0 = -4*a - 3*u + 16, -2*a + u - 4*u + 8 = 0. Let s = 22 + a. Suppose 21*g + 2000 = s*g. What is g rounded to the nearest 100?
400
Let t = -3853.07 + 3650. Round t to the nearest ten.
-200
Let b = 2 - -10.6. Let n = 58502641 + -58502653.6000122. Let d = n + b. Round d to 6 dps.
-0.000012
Let c = -5800.99 - -36.89. What is c rounded to the nearest one hundred?
-5800
Suppose 3*u = 12, -228*u = 2*l - 231*u + 341212. What is l rounded to the nearest one hundred thousand?
-200000
Let u = 2580.311385 + -0.011385. Round u to the nearest ten.
2580
Let b = 0.246 + -0.2892. Let q = 0.043200995 + b. What is q rounded to 7 dps?
0.000001
Suppose 5*d - 4*i + 16 = -8*i, -16 = 3*d - 4*i. Let q be d*(-2055)/(-10)*1. What is q rounded to the nearest one hundred?
-800
Let p = -1905.30017521 + 1905.3. What is p rounded to six decimal places?
-0.000175
Suppose -4*n + 661200040 = -5*k, -5*n + 867479065 = -5*k + 40979025. Round n to the nearest 1000000.
165000000
Let f be (298/4)/(8/144). Suppose f + 8579 = 32*c. Round c to the nearest one thousand.
0
Let o = 207.118 - 0.118. Let u = o + -207.206. What is u rounded to 2 dps?
-0.21
Suppose -17*l + 14 = 99. Let m be 175463*-216 - -3 - l. What is m rounded to the nearest one million?
-38000000
Suppose 2*w + g + 20349163 = 0, 0*w - 3*g = -3*w - 30523749. Let t = w + 4714582. Round t to the nearest one million.
-5000000
Let a be -99*((-8)/16 - (-1)/(-2)). Suppose a = q + 90. Suppose -3*p = -q*p - 91200000. What is p rounded to the nearest 1000000?
-15000000
Let l = -1550.7893 - -1551.7. Let k = 155.144 + -156. Let v = k + l. Round v to 2 decimal places.
0.05
Let n = 3.1456 - 2.167. What is n rounded to one decimal place?
1
Let v = -485 - -484.9038. Let a = -0.10089 - v. Round a to four dps.
-0.0047
Suppose 1107440015 = 4*u + 5*m, -4*m - 1938020015 = -7*u - 9*m. What is u rounded to the nearest 1000000?
277000000
Let s = 128 + -10. Let r = -0.0752 + -81.0248. Let o = s + r. Round o to zero dps.
37
Let p be (-50)/(-2)*3/15. Suppose -5*h + 352 = -p*x + 4*x, 0 = 3*x + h + 1008. Round x to the nearest one hundred.
-300
Let k = -4253.35 - -4249. What is k rounded to the nearest integer?
-4
Suppose 235065300 = 22*w + 19*w. What is w rounded to the nearest one million?
6000000
Suppose 2*x + 37 - 29 = 0. Let o be (-15 + 3 + 2)*x/(-10). Let r be 2/o + (-11999994)/12. Round r to the nearest one hundred thousand.
-1000000
Let t = 0.663 - 0.144. Let j = t + -0.518671. Round j to 5 decimal places.
0.00033
Let i = 131.1 + 975.9. Let a = i + -1106.99999137. Round a to six dps.
0.000009
Let k be ((-1584)/(-616))/(((-2)/14)/1). Let g be ((-281400)/k)/14*-3. What is g rounded to the nearest one thousand?
-3000
Let b = 144159 - 3980. Suppose b = -3*m - 3881. Round m to the nearest ten thousand.
-50000
Let t = 10 - 6. Suppose 3*a - t*n = 62, a - 33 + 11 = n. Let k = 16 + a. Round k to the nearest ten.
40
Let q = -1.29 + 89.29. Let u = q - 198. Let v = -110.00157 - u. Round v to four decimal places.
-0.0016
Let z = 8.354866836747335 - -688392135.645129063252665. Let k = z - 688392176. Let f = 32 + k. What is f rounded to 6 dps?
-0.000004
Let f = 37337.689827333 - -9.069442667. Let r = f + -37347. Let o = r + 0.24. Round o to 4 dps.
-0.0007
Let o = 51681 - -51259. What is o rounded to the nearest 10000?
100000
Let r = 48 + 56. Let o = 54 - r. Let l = o - -50.000052. Round l to 5 decimal places.
0.00005
Let c = 1340.1574 - 1340. Let f = -0.187 + c. What is f rounded to 3 dps?
-0.03
Let i = -2147.98 + 2211. Round i to the nearest ten.
60
Let d = -228.4 - -290. Let w = d - -205. Let q = 306 - w. What is q rounded to the nearest ten?
40
Let p = -217.5 - -217.50005515. What is p rounded to 6 decimal places?
0.000055
Let z = 138.3 - -277. Round z to the nearest ten.
420
Let z = 247 + -326.25. Let x = z + 74.137. What is x rounded to 1 decimal place?
-5.1
Let s = 24526 - 23406.7. What is s rounded to the nearest 100?
1100
Let t(u) = 1237*u. Let n be t(2). Let m(s) = -s**3 + n*s + 0*s**3 - 2460*s + 8 + 16*s**2. Let y be m(17). What is y rounded to the nearest integer?
-43
Let y(i) be the second derivative of i**4/12 + 4*i**3/3 + 10*i**2 - 9*i. Let w be y(-4). Suppose -w*f - f = 58500. What is f rounded to the nearest 1000?
-12000
Let n = 8702 - 9294.9. What is n rounded to the nearest ten?
-590
Let b = -7629 - -7628.93302. Round b to two dps.
-0.07
Let c(s) = -31*s**3 - 6*s - 7. Let j = 79 + -80. Let b be c(j). Round b to the nearest 100.
0
Let b = 811257736.0000126 - 811257894. Let a = b + 158. Round a to 6 dps.
0.000013
Suppose -2*c + 3*b + 35635932 = 0, -1 = b - 3. Let v = -2789165 + 407134. Let x = c - v. Round x to the nearest 1000000.
20000000
Suppose -70 = -6*l - 520. Let p be (-8370000630)/l + -8 + 4/(-10). What is p rounded to the nearest one million?
112000000
Let a(u) = 2*u + 21. Let k be a(-9). Let i be (-5 + 3)*3*k/18. Let y be 7203/(i + 0) - (18 - 21). Round y to the nearest 10000.
-10000
Let k = -0.26474 + -0.15819. Round k to 1 dp.
-0.4
Let l = 0.722 - 0.6. Let x = l - 0.1792. Round x to 2 decimal places.
-0.06
Let y(k) = -k**3 + 99*k**2 + 92*k + 200. Let d be y(43). Round d to the nearest ten thousand.
110000
Let p = 46966.78 + -46969.4799436. Let a = 2.7 + p. Round a to 6 decimal places.
0.000056
Let z = 1022.554 + -1028.7. Let d = -0.54 - -0.586. Let w = z + d. Round w to 0 dps.
-6
Let g = 219.226598 + 172415605.773402. Let j = g + -172416229.999619. Let s = j + 405. Round s to four decimal places.
0.0004
Let x be ((519*2)/(81/(-18)))/((-5)/(-18000)). Round x to the nearest 10000.
-830000
Let k(o) = -2*o**3 + 23*o**2 - 13*o - 6. Let r = -31 - -42. Let z be k(r). Let i be (-4)/z - (-315003)/(-21). Round i to the nearest ten thousand.
-20000
Let p = 0.169 - -126.831. Let z = -126.38 + p. What is z rounded to zero dps?
1
Let t = -224 - -219.55. Let z = 4.3 + t. Let d = z + 0.150006. Round d to 5 dps.
0.00001
Let v = 8774.75 - 8808. Round v to the nearest 10.
-30
Let p = 19134.045815 - 19134. What is p rounded to 3 dps?
0.046
Let g = -776 + 773.104. Let r = 8.1 - 11. Let p = r - g. Round p to two dps.
0
Let v = 208 + 152. Let f = v + -775. Let w = -415.0241 - f. What is w rounded to three dps?
-0.024
Suppose 3*s - 2*m + 40435186 = 0, 26956758 = -2*s + 23*m - 17*m. Round s to the nearest 1000000.
-13000000
Let q = -285 - -245.2. Let d = -40.112 - q. What is d rounded to one dp?
-0.3
Let h = 233.004 + -0.004. Let x = h - 233.0000516. Round x to 5 dps.
-0.00005
Let g = -1241722629995769456.99999977 + 1241722635418822309. Let w = 5423052906 - g. Let x = -54 + w. What is x rounded to seven decimal places?
-0.0000002
Let y = -7.457 + 185.537. Let i = 171 - y. What is i rounded to 1 dp?
-7.1
Let x = -31.2 - 5.7. Let a = -36.8237 - x. What is a rounded to two dps?
0.08
Let y = 39.099 - 0.099. Let n = 74712693.99999976 + -74712733. Let u = n + y. What is u rounded to seven decimal places?
-0.0000002
Let u = 174 + -185.8. Let y = 0.026824 - 11.862324. Let z = y - u. Round z to 3 dps.
-0.036
Let a(b) = -b**2 + 5*b + 1. Let d be a(8). Let m = -23 - d. Suppose -w - 184997 = -5*c, m = 4*c - w + 5*w - 148012. Round c to the nearest ten thousand.
40000
Let p = 7954 - 4519.8. Round p to the nearest one thousand.
3000
Let x = -16 - -2. Let k be (-4)/3*(x/4 - -2). Suppose -15480004 = 2*f - d, -f - 7739992 = -0*f + k*d. Round f to the nearest one million.
-8000000
Let w = -38.58 - -38.582056. Round w to 4 dps.
0.0021
Let n = -0.076826335 + 1.686823575. Let f = n + -1.61. Round f to 7 decimal places.
-0.0000028
Let n = -4214 - -37750. Let v = -33465.027 + n. Let x = -71 + v. What is x rounded to two dps?
-0.03
Suppose 15*c + 2*h - 398654998 = 0, 10*h + 79731004 = 3*c + 6*h. What is c rounded to the nearest 1000000?
27000000
Let q = -825.299994651 + 825.3. Round q to six dps.
0.000005
Let o = 36611695.61997128 + -36611699. Let k = o - -3.38. Round k to 6 dps.
-0.000029
Let w = 173.76 - 173.75978298. What is w rounded to 6 decimal places?
0.000217
Let a = 0.9440832 - 0.945. What is a rounded to four dps?
-0.0009
Let j = 259.9806 + 0.0194. Let b = j - 261.67. What is b rounded to one decimal place?
-1.7
Let y = -2136.12195 - -2136.6. Let d = -7.52205 - y. Let q = | {
"pile_set_name": "DM Mathematics"
} |
8 - 88 - 2*m**3 + 34*m.
-2*m**3 + 34*m
Collect the terms in -8*m**2 - 3*m**2 + 9*m**2.
-2*m**2
Collect the terms in -17190 - 2*m**2 + 17190.
-2*m**2
Collect the terms in -3 + 3 - 41*x + 2*x + 40*x.
x
Collect the terms in -298*v + 86*v - 627*v.
-839*v
Collect the terms in -20*q**2 - 4*q**2 + 11*q**2.
-13*q**2
Collect the terms in -j - 251*j**3 + j.
-251*j**3
Collect the terms in -5*d**3 + 254*d**2 - 254*d**2.
-5*d**3
Collect the terms in 52 - 52 + 331*w**3.
331*w**3
Collect the terms in 1948*f + 4064*f + 2404*f.
8416*f
Collect the terms in 60*x**3 - 118*x**3 - 95*x**3.
-153*x**3
Collect the terms in 278 - 19*f**3 + 20*f**3 - 278.
f**3
Collect the terms in -18*k**2 - 20*k**2 + 11*k**2.
-27*k**2
Collect the terms in 35*m**2 - 115*m**2 + 45*m**2 + 38*m**2.
3*m**2
Collect the terms in 7*c**2 - 42*c**2 + 14*c**2 + 18*c**2.
-3*c**2
Collect the terms in -2*o**2 - 11943*o + 11943*o.
-2*o**2
Collect the terms in -29*m + 16*m + 13*m - 6*m**3.
-6*m**3
Collect the terms in 2*u**2 - 4*u**2 - 16 + 33 - 17.
-2*u**2
Collect the terms in 34*p**2 - 12*p**2 - 14*p**2.
8*p**2
Collect the terms in 4*q - 3*q - q - 33*q**2 + 35*q**2.
2*q**2
Collect the terms in 12339 - 24678 - 13*r**3 + 12339.
-13*r**3
Collect the terms in -n**2 + 0*n**2 + 4*n**2.
3*n**2
Collect the terms in 171*a**2 - 344*a**2 + 170*a**2.
-3*a**2
Collect the terms in -25*l**2 + 13*l**2 + 9*l**2.
-3*l**2
Collect the terms in 0*x**3 + 6 - 62 - 2*x**3.
-2*x**3 - 56
Collect the terms in -5*f - 2*f + 7*f - 9*f**2.
-9*f**2
Collect the terms in 8*d - 69137 + 69137.
8*d
Collect the terms in -6347*g**2 + 6347*g**2 + g**3.
g**3
Collect the terms in -3*b**3 - 11*b + 29*b - 18*b.
-3*b**3
Collect the terms in 2*s**3 - s**3 - 2*s + 3172*s**2 + 3*s.
s**3 + 3172*s**2 + s
Collect the terms in 74*x**2 - 45*x**2 - 43*x**2.
-14*x**2
Collect the terms in 23 - 6 - 17 + 20*t**2.
20*t**2
Collect the terms in -122*n**2 + 72*n**2 + n**3 + 71*n**2.
n**3 + 21*n**2
Collect the terms in -t**3 + 5910*t - 5910*t.
-t**3
Collect the terms in 0*d**3 + 2*d + 4*d + 2*d**3.
2*d**3 + 6*d
Collect the terms in 275*t**2 + 98*t**2 + 138*t**2.
511*t**2
Collect the terms in -3*l**2 + 2*l**2 - 11*l**2 - 4*l + 5*l.
-12*l**2 + l
Collect the terms in -9*y + 160 - 160.
-9*y
Collect the terms in -1 + 35*q**3 + 27*q**2 + 29*q**2 - 56*q**2.
35*q**3 - 1
Collect the terms in 6 - 6 + 19*c - 3*c.
16*c
Collect the terms in -2*z**2 - 580*z**3 + 2*z**2.
-580*z**3
Collect the terms in -367 + i**2 + 3*i**2 + 738 - 371.
4*i**2
Collect the terms in -z**2 + 24*z**2 - 21*z**2.
2*z**2
Collect the terms in -70*r**3 - 67*r**3 + 127*r**3.
-10*r**3
Collect the terms in 7 + 5*x**2 - 7 - 3*x**2 - 3*x**2.
-x**2
Collect the terms in -3*x - 4 + 4 - 3*x**2.
-3*x**2 - 3*x
Collect the terms in -5006*k**2 - 5007*k**2 + 10011*k**2.
-2*k**2
Collect the terms in 5*m - 5*m - 2*m.
-2*m
Collect the terms in 2870*o**2 + 2873*o**2 - 5754*o**2.
-11*o**2
Collect the terms in 2 + 12*h - 8 + 5.
12*h - 1
Collect the terms in -10*z**2 + 4*z**2 - z**2 - z**2 - 7*z**2.
-15*z**2
Collect the terms in -100002599 + 100002599 - 2*b.
-2*b
Collect the terms in -17*i**3 + 38*i**2 - 38*i**2.
-17*i**3
Collect the terms in 1372*v**2 + 1374*v**2 - 2742*v**2.
4*v**2
Collect the terms in 2*t**3 - 2*t**3 + 45*t + t**3 - 45*t.
t**3
Collect the terms in -6*g**2 + 36*g**2 + 3*g**2 - 16*g**2.
17*g**2
Collect the terms in -255*d**3 + 117*d**3 + 135*d**3.
-3*d**3
Collect the terms in 2 - 6 + 51*m + 4.
51*m
Collect the terms in 4 + 4*i**3 + 3*i**3 - 4.
7*i**3
Collect the terms in 39*x + 9*x + x + 31*x.
80*x
Collect the terms in -7*t**3 - 6607*t + 13214*t - 6607*t.
-7*t**3
Collect the terms in 7*j - 19*j - 2*j + 5*j + 2*j.
-7*j
Collect the terms in 6*r**3 + 252*r**2 - 2*r**3 - 252*r**2.
4*r**3
Collect the terms in -9*b + 20*b - b - 10*b - 8*b.
-8*b
Collect the terms in -61 - m**3 + 61 - 49*m.
-m**3 - 49*m
Collect the terms in 13*k**3 + 12 - 4 - 6 + 0*k**3.
13*k**3 + 2
Collect the terms in 196*i - 6 + 6 + 0.
196*i
Collect the terms in -3 + 27*c**3 - 23*c**3 + 3.
4*c**3
Collect the terms in 35*c + 54*c - 26*c.
63*c
Collect the terms in -5*d + 12 - 12 + 7*d.
2*d
Collect the terms in -152*o**3 + 86*o**3 + 70*o**3.
4*o**3
Collect the terms in x**2 + 3*x**2 - 6*x**2.
-2*x**2
Collect the terms in -410*k**2 + 410*k**2 + 22*k**3.
22*k**3
Collect the terms in -7*x**3 + 1466860 - 1466860.
-7*x**3
Collect the terms in -22*k - 16*k + 74*k - 20*k - 17*k.
-k
Collect the terms in -43*k - 5 + 5.
-43*k
Collect the terms in 8*w**3 - 3*w**3 + 8*w**3.
13*w**3
Collect the terms in 20*n**2 + 23*n**2 - 67*n**2 + 25*n**2.
n**2
Collect the terms in -14805 + 5*n - 5*n + n**2 + 14805.
n**2
Collect the terms in 0 - 61*v + 0 + 9*v + v**3.
v**3 - 52*v
Collect the terms in 22 - 37 + 15 - 2*z.
-2*z
Collect the terms in -46721*i + 46721*i - 7*i**3.
-7*i**3
Collect the terms in -f - 2*f - 7*f**2 + 5*f.
-7*f**2 + 2*f
Collect the terms in -4 + 2 + 6*k**2 + 2.
6*k**2
Collect the terms in y - 3*y + 46 + 25 + 72.
-2*y + 143
Collect the terms in 1 + 20*b**3 + 2 - 3.
20*b**3
Collect the terms in 221 - 17*b**2 - 221.
-17*b**2
Collect the terms in 27*k + 27*k + 32*k - 88*k.
-2*k
Collect the terms in 328 - 113 - 113 - 102 - 3*a**3.
-3*a**3
Collect the terms in 9*w - 9*w + 18*w**2 + w**3.
w**3 + 18*w**2
Collect the terms in 0*j**2 + 0*j**2 + 0*j**2 - 3*j**2.
-3*j**2
Collect the terms in 0*y - 33*y - y - 7*y.
-41*y
Collect the terms in -15*k**3 + 8*k**3 + 3*k**3.
-4*k**3
Collect the terms in -5*j**2 - 5*j**3 - j**3 + 5*j**2 + 0*j**2.
-6*j**3
Collect the terms in 4 - 5 + 60*l + 1.
60*l
Collect the terms in -c**2 + c + c + 4*c**2 + 5*c**2.
8*c**2 + 2*c
Collect the terms in 419*h**3 - 422*h**3 + h**2 - 2*h**2 + 4*h**2.
-3*h**3 + 3*h**2
Collect the terms in -2*f**3 - 3*f + 4*f**3 + 0*f.
2*f**3 - 3*f
Collect the terms in 18*d + 14 + 7 - 21.
18*d
Collect the terms in 2*f - 16 - 5*f - 2*f - 20.
-5*f - 36
Collect the terms in 3*a**3 - 7135 + 7135.
3*a**3
Collect the terms in -211*d + 128*d - 135*d.
-218*d
Collect the terms in 34*c - 13*c - 21*c - 4*c**3.
-4*c**3
Collect the terms in -21 + 11 + 14*j + 10.
14*j
Collect the terms in i**2 + 150 - 286 + 136.
i**2
Collect the terms in -18*q**3 - 13*q**3 + 10*q**3 - 12*q**3.
-33*q**3
Collect the terms in 306 + 18*z**2 - 22*z**2 - 306.
-4*z**2
Collect the terms in -144*d**2 + 68*d**2 + 70*d**2.
-6*d**2
Collect the terms in -111531*f**2 + 0*f**3 + 10*f**3 + 111531*f**2.
10*f**3
Collect the terms in -2*g**2 - 33*g**2 + 0*g**2 - 11*g**2.
-46*g**2
Collect the terms in -12*t**2 + 2*t + 2*t - 35*t**2 - 6*t.
-47*t**2 - 2*t
Collect the terms in -2*q + 3 + 4 + 0.
-2*q + 7
Collect the terms in -2*k - 30*k - 38*k + 15*k + k**2.
k**2 - 55*k
Collect the terms in -p**2 + 0*p**2 + 25 - 2*p**2.
-3*p**2 + 25
Collect the terms in -442 + 442 + 5*u**3.
5*u**3
Collect the terms in 3*w + 2*w - w + 2*w.
6*w
Collect the terms in -48 - i**2 + 1405*i - 1405*i.
-i**2 - 48
Collect the terms in 5*n - n + 7*n - n - 13*n.
-3*n
Collect the terms in -1670 + 11*s**2 + 1670.
11*s**2
Collect the terms in -90 + 90 - 192*h.
-192*h
Collect the terms in -733 - 4*y + 733.
-4*y
Collect the terms in q - 11*q + 3*q.
-7*q
Collect the terms in -53*c**2 + 16*c**2 - 3 + 3.
-37*c**2
Collect the terms in -32*m + 32*m - 7*m**3.
-7*m**3
Collect the terms in z + 0*z - 2 + 5.
z + 3
Collect the terms in -23*n**3 - 13*n**3 - 13*n**3.
-49*n**3
Collect the terms in 10*a - 16*a + 8*a + 9.
2*a + 9
Collect the terms in -170*r + 75*r + 70*r.
-25*r
Collect the terms in -9 + 8*z**2 + 9.
8*z**2
Collect the terms in -2*i**2 + 1848 + 1848 - 3696.
-2*i**2
Collect the terms in -34*d + 2 - 2 + 16*d + 20*d.
2*d
Collect the terms in 29*x**3 + 40*x**3 - 10*x**3.
59*x**3
Collect the terms in 91*i**2 - 45*i**2 - 43*i**2.
3*i**2
Collect the terms in 290*t + 285*t + 288*t - 862*t.
t
Collect the terms in -19*z - 20*z - 13*z + 55*z.
3*z
Collect the terms in -39*y + 67*y - 7*y**2 - 38*y.
-7*y**2 - 10*y
Collect the terms in 3*n**2 - 11*n**2 - 30 + 30.
-8*n**2
Collect the terms in -1603 + 1603 - 2*r**2.
-2*r**2
Collect the terms in -6*b**3 + b**3 - 2*b**2 + 2*b**2.
-5*b**3
Collect the terms in -2*f - 49*f**3 + 2*f.
-49*f**3
Collect the terms in 816*o**3 - 408*o**3 - 410*o**3.
-2*o**3
Collect the terms in 760*u**2 - 760*u**2 + 2*u**3.
2*u**3
Collect the terms in 21*r**2 - 168*r**2 - 143*r**2 - 35*r**2.
- | {
"pile_set_name": "DM Mathematics"
} |
3*b - 5*b**2. Calculate -6*g(l) - 5*t(l).
-5*l**2
Let i(o) = 14*o**3 + o - 3. Let v(j) = 14*j**3 + j - 2. Give -2*i(c) + 3*v(c).
14*c**3 + c
Let s(k) = -21*k + 7 + 14*k - 1 + 8*k. Let r(i) = 5. Give -5*r(u) + 4*s(u).
4*u - 1
Let z(x) = -x**2 + x. Let i = 3 - -2. Let h(b) = -3*b**2 + 0*b**2 + i*b - b**2. Let l(q) = -q**3 + 8*q**2 + 9*q + 6. Let w be l(9). What is w*z(f) - h(f)?
-2*f**2 + f
Let d(k) = -k**2 - k + 1. Let j = 399/4 - 595/6. Let a(f) be the second derivative of -f + 5/2*f**2 + 0 - j*f**4 - 7/6*f**3. Calculate -a(r) + 5*d(r).
2*r**2 + 2*r
Let u(y) = y**3 + 8*y + 62 - 54 - 3*y**3 - 8*y**2. Let l(w) = -w**2 + w + 1. Give 8*l(x) - u(x).
2*x**3
Let f(m) = -2*m**3 - 2*m**2 + 3*m + 4. Let i be f(-2). Let t(y) = -4*y + y**2 + 0 + 0*y**2 + 4. Let b(n) = -4*n**2 + 15*n - 15. Calculate i*b(r) + 22*t(r).
-2*r**2 + 2*r - 2
Let b(z) = z**2 + 3*z - 3. Suppose -7 + 15 = 3*r - o, -4 = 3*r + 5*o. Let n(l) = -l**2 - l + 1. Give r*b(i) + 6*n(i).
-4*i**2
Let o(a) = a**2 - a. Let s(n) = -5*n**3 - 5*n**2 + 5*n. Determine -5*o(d) - s(d).
5*d**3
Let k(s) = -s**2 + s. Let h be -2 - (3/(-3) - -1). Let a(u) = 4 - u - 3 - 7. Let m be a(-5). Let n(g) = g**2 - 2*g. Give h*k(o) + m*n(o).
o**2
Let l(m) = 4*m**3. Let c be (-12)/(-18) + 13/3. Let j(y) = -2*y**2 - 2*y - 2. Let t(i) = i**3 + i**2 + i + 1. Let v(k) = j(k) + 2*t(k). What is c*v(q) - 2*l(q)?
2*q**3
Let x(j) = -j**3 + 3*j**2 + 3*j. Let m(p) = -2*p**3 + 2*p**2 + 2*p. Determine 3*m(b) - 2*x(b).
-4*b**3
Let f(k) = k**2 - k. Let c(j) = 2*j**2 - 4*j - 3. What is 2*c(x) - 6*f(x)?
-2*x**2 - 2*x - 6
Let b(n) = 11*n. Let l(a) = -7*a. Let k be (-8)/28 + (-38)/14. Let m(v) = -v + 2. Let z be m(k). Suppose 0*y - y = -z. What is y*b(x) + 8*l(x)?
-x
Let n = -3 + 2. Suppose 4*f - 49 = 11. Let d(y) = -12*y**2 + 15*y - 15. Let g(k) = -k**2 + k - 1. Calculate f*g(b) + n*d(b).
-3*b**2
Let c be (3 + -1 - 4)*-2. Let u(l) = 48*l**2 - 27*l - 27. Let j(d) = 7*d**2 - 4*d - 4. Calculate c*u(y) - 27*j(y).
3*y**2
Let u(h) be the second derivative of 2*h**5/5 + 5*h**2/2 + 37*h - 2. Let v(j) = 9*j**3 + 6. What is -6*u(x) + 5*v(x)?
-3*x**3
Let z(y) = -3*y + 8. Let u(g) = 7*g - 16. Let i(m) = 4*u(m) + 7*z(m). Let k(x) = -x - 12. Let l be k(12). Let n(o) = o - 1. Determine l*n(q) + 3*i(q).
-3*q
Let a(d) = 2 - 4 - 3 - 2*d. Let w(y) = -2*y - 6. Let p(l) = -3*l - 9. Let v(g) = 5*p(g) - 8*w(g). Give -3*a(i) - 5*v(i).
i
Let o(f) = 19 + 2*f**2 - 19 + f. Let c(t) be the second derivative of t**3 - t**2/2 + 2*t. Let q be c(-1). Let h(z) = -4*z**2 - 2*z. What is q*o(g) - 4*h(g)?
2*g**2 + g
Let c(j) = -j + 2. Let u(x) = -x**2 - x + 9. Let s(q) = q**2 + q - 8. Let o(l) = 7*s(l) + 6*u(l). Calculate 3*c(z) + 2*o(z).
2*z**2 - z + 2
Let l(b) = -b + 1. Let i(f) = 2. Let m(n) = -1. Let d(c) = -3*i(c) - 4*m(c). Calculate d(s) + 2*l(s).
-2*s
Let z(o) = -o**2 + o - 1. Suppose 0 = -q - 4 - 0. Let h(i) = 8*i**2 - 2*i**2 - 4*i - 3*i**2 + 2. What is q*z(y) - h(y)?
y**2 + 2
Let r be ((-40)/(-12))/(4/(-6)). Let v(q) = -3*q**2 - 7*q - 3. Let a(j) = -j**2 + j - 1. Let g(k) = 7*k. Let c(n) = -2*a(n) + g(n). What is r*v(t) - 7*c(t)?
t**2 + 1
Let u(s) = s**2 + 11*s + 4. Let n(c) = c**2 + 6*c + 2. What is 5*n(w) - 3*u(w)?
2*w**2 - 3*w - 2
Let k(u) = -9*u. Let q(g) = -10*g - 1. Calculate 3*k(i) - 2*q(i).
-7*i + 2
Let x = 37 - 27. Let m(f) = -10*f - x - 2*f**2 - 4*f**2 + 8*f**2. Let t(r) = -r - 1. Calculate -m(h) + 10*t(h).
-2*h**2
Let w(a) = 4*a**3 - 6*a**2 + 9*a. Let d(u) = -u**3 + u**2. Determine 6*d(c) + w(c).
-2*c**3 + 9*c
Let j(m) = 2*m**2 + 8*m - 3. Let f(i) = 3*i**2 + 9*i - 3. Give -4*f(k) + 5*j(k).
-2*k**2 + 4*k - 3
Let o be (-21)/9 + 2/6. Let v(d) = 3. Let g(x) = 16. Let b(l) = o*g(l) + 11*v(l). Let n(r) = 2*r + 6. What is -4*b(y) + n(y)?
2*y + 2
Let i(r) = 2. Let u(n) = n - 12. Give 11*i(x) + 2*u(x).
2*x - 2
Let g(w) = -16*w. Let f(d) = 399*d. Determine 3*f(k) + 76*g(k).
-19*k
Let y(j) = 411 - j - 411. Let m(b) = b**2 + 3*b. What is -m(v) - 3*y(v)?
-v**2
Let a(c) = -3*c**2 + 8*c. Let x(w) = -2*w**2 + 5*w. Suppose -3 = 5*u + 22. Give u*a(h) + 8*x(h).
-h**2
Let g(z) = 4*z**2 + 5*z - 3. Let l(b) be the third derivative of -b**5/60 - b**4/24 + b**3/6 - 7*b**2. Determine g(a) + 3*l(a).
a**2 + 2*a
Let m(p) = 11*p**2 - 19*p - 13. Let g(a) = -5*a**2 + 9*a + 6. Let j(l) = 13*g(l) + 6*m(l). Let f(u) = u**2 + 2*u. What is 3*f(b) - 2*j(b)?
b**2
Let p(l) = -18*l**3 - 3*l**2 + 3. Let g(y) = -91*y**3 - 14*y**2 + 14. Give 3*g(f) - 14*p(f).
-21*f**3
Let b = -3 + 3. Let q be -5 - -4 - (b - 3). Let v(n) = -15*n**3 + 13 - 3*n**q + 2*n**2 + 5*n**2. Let r(y) = 7*y**3 - 2*y**2 - 6. Give -13*r(p) - 6*v(p).
-p**3 + 2*p**2
Let z(m) = 3*m**2 - 2*m. Let w(o) = o**3 + o**2 + o - 1. Determine -2*w(l) - z(l).
-2*l**3 - 5*l**2 + 2
Let v(i) = 103*i**2 + 13*i - 9. Let w(q) = -26*q**2 - 3*q + 2. Calculate 2*v(d) + 9*w(d).
-28*d**2 - d
Let u(a) = 43*a**2 + 7*a - 7. Let x(d) = -14*d**2 - 2*d + 2. What is -2*u(r) - 7*x(r)?
12*r**2
Let p(b) = -2*b - 5. Let n(o) = 3 - 2 + 1 - 1. What is 4*n(g) + p(g)?
-2*g - 1
Let z(u) = -u - 5. Let l be 6/(-4)*(-26)/13. Let d(x) = -2*x - 9. Determine l*d(g) - 5*z(g).
-g - 2
Let b(w) = -15*w**2 - 3*w + 2. Let q(n) = -44*n**2 - 8*n + 5. Give 8*b(y) - 3*q(y).
12*y**2 + 1
Let u(g) = -3*g - 6. Let a = 5 + -10. Suppose 0 = -3*v + v + 6. Let f(w) = -v*w + w - 1 + w. Calculate a*f(b) + u(b).
2*b - 1
Let u(k) = 11*k**2 - 15. Let s(i) = 7*i**2 - 10. Give 8*s(n) - 5*u(n).
n**2 - 5
Let w(z) = -7*z**3 + 11*z**2 - 11. Let a(k) = 3*k**3 - 5*k**2 + 5. Let g(u) = 9*a(u) + 4*w(u). Let b(l) = 2*l**3 + l**2 - 2. What is -3*b(x) - 5*g(x)?
-x**3 + 2*x**2 + 1
Let l(r) = 12*r**3 + 21*r**2 + 21*r + 21. Let g be 42 - -3 - (1 - 0). Suppose 3*f = g + 19. Let p(o) = -3*o**3 - 5*o**2 - 5*o - 5. What is f*p(j) + 5*l(j)?
-3*j**3
Let b(h) = -h**3 + h**2 + h. Let j(i) = -5*i**2 - i**3 - 10*i + 5*i - i**3 + 7*i**3. Determine -6*b(p) - j(p).
p**3 - p**2 - p
Let a(d) = -d. Let b(k) = 3*k + 2. Let s = -2 + 4. Let n be (1/s)/(5/10). What is n*b(m) + 4*a(m)?
-m + 2
Let p(d) be the first derivative of -d**2 + 6*d - 2. Let t(c) = 2 + 2 - 5. Give -p(q) - 6*t(q).
2*q
Let o(a) = -14*a + 3. Let s(h) = 29*h - 7. Calculate 9*o(w) + 4*s(w).
-10*w - 1
Let w(c) = c**3 + 4*c**2 + 4*c - 2. Let n(v) = 7*v - 1 + 9*v**2 + 2*v - 4 + 3*v**3. Give 2*n(x) - 5*w(x).
x**3 - 2*x**2 - 2*x
Let g(o) = 9*o**2 - 3*o + 3. Let a(h) = -13*h**2 + 4*h - 4. Give -5*a(z) - 7*g(z).
2*z**2 + z - 1
Let h(r) = 5*r**2 + 6*r - 2. Let t(g) = -4*g + 1 - 4*g**2 - g**2 + 3*g**2 - g**2. What is 5*h(l) + 8*t(l)?
l**2 - 2*l - 2
Let y(q) = 5. Let g(w) = w - 11. Let z(h) = 2*g(h) + 5*y(h). Let d(n) = 3*n + 2. Calculate 3*d(f) - 2*z(f).
5*f
Let h(t) = t**2 - t + 1. Let r = -9 + 7. Let o(s) = -4*s + 2. Determine r*h(y) + o(y).
-2*y**2 - 2*y
Let d(o) = o**3 + 6*o**2 + 6*o + 6. Let t be d(-5). Let j(p) = p - p - 5*p + p - t. Let l(q) = q. Let m = -1 - -11. Calculate m*l(k) + 2*j(k).
2*k - 2
Let g(u) = 2*u - 2. Let s(b) be the first derivative of -b**3/3 + 5*b**2/2 - 5*b + 36. Calculate 5*g(q) - 2*s(q).
2*q**2
Let q(w) = 2*w + 5. Let u = 7 - 12. Let y(p) be the second derivative of p**3/6 + p**2 - p. Calculate u*y(n) + 2*q(n).
-n
Let r = -15 + 29. Let w = r - 11. Let n(s) = -2*s - 3. Let j(f) = 2*f + 2. What is w*j(v) + 2*n(v)?
2*v
Let w(d) be the third derivative of -d**5/15 + d**4/6 - d**3/6 + 31*d**2. Let l(n) = -11*n**2 + 11*n - 3. Determine 3*l(r) - 8*w(r).
-r**2 + r - 1
Let k(i) = -4*i - 2. Let u(t) = 4*t + 2. Let o = -82 + 76. Determine o*u(l) - 7*k(l).
4*l + 2
Let x(b) = -4*b**2 - 39*b + 2. Let h(u) = 9*u**2 + 77*u - 5. Give 2*h(s) + 5*x(s).
-2*s**2 - 41*s
Suppose -2*l + 44 = 5*o, 3*l - 47 - 19 = 2*o. Let c(n) = 3*n**3 - n**2 - 1. Let k(r) = -3*r**2 - 2*r**2 - r**2 - 6 + 16*r**3. Calculate l*c(t) - 4*k(t).
2*t**3 + 2*t**2 + 2
Let v(b) = -b**2 - 3*b. Let c be (0 - (-1 + 12)) + 0. Let s(n) = -6*n**2 - 16*n. What is c*v(a) + 2*s(a)?
-a**2 + a
Let p(f) = 3*f**3 - 3*f**2 + 6. Let h(x) = 3*x**3 - 4*x**2 + 7. Calculate 3*h(w) - 4*p(w).
-3*w**3 - 3
Let d(u) = -2*u + 5. Let l(o) be the first derivative of 5*o**2 - 24*o - 15. What is -14*d(f) - 3*l(f)?
-2*f + 2
Suppose -3 + 0 = -v. Let r(d) = 3*d**2 + 2*d**3 + 2*d**v - 3*d**3 + 3*d + 3*d**3. Let w(a) = -7*a**3 - 5*a**2 - 5*a. Calculate 5*r(z) + 3*w(z).
-z**3
Let b(z) = z + 2. Let d(o) = -o + 8. Let f be d | {
"pile_set_name": "DM Mathematics"
} |
-59/156 and 71/5466.
142116
Calculate the least common multiple of 27968 and 2584.
475456
Calculate the common denominator of 37/96165 and -31/11.
1057815
Calculate the smallest common multiple of 42 and 33.
462
What is the lowest common multiple of 40394 and 9?
363546
Find the common denominator of 24/37807 and -39/319.
1096403
Find the common denominator of 1/204 and 3/688.
35088
Calculate the common denominator of -47/23232 and -41/60.
116160
Calculate the common denominator of 77/30882 and -73/177.
1822038
Calculate the common denominator of 89/24 and 10/181947.
1455576
Calculate the lowest common multiple of 3944 and 4280.
2110040
What is the least common multiple of 27438 and 5?
137190
What is the lowest common multiple of 833 and 2975?
20825
Calculate the lowest common multiple of 510 and 1122.
5610
What is the common denominator of 73/138 and -155/25392?
25392
Calculate the common denominator of -113/7920 and -53/1320.
7920
What is the common denominator of 68/118545 and -22/273?
1541085
What is the least common multiple of 226 and 6328?
6328
Calculate the lowest common multiple of 20 and 26785.
107140
Find the common denominator of -53/539460 and 119/1080.
1078920
What is the lowest common multiple of 135156 and 77?
1486716
What is the smallest common multiple of 6240 and 1056?
68640
What is the smallest common multiple of 12 and 1450869?
5803476
Find the common denominator of 85/48 and -11/15294.
122352
Find the common denominator of -1/1189430 and -5/16.
9515440
Calculate the smallest common multiple of 114 and 22211.
133266
What is the lowest common multiple of 48 and 24852?
99408
What is the lowest common multiple of 87 and 237?
6873
Find the common denominator of 27/95366 and 49/82.
95366
What is the lowest common multiple of 13242 and 2207?
13242
What is the least common multiple of 4048 and 506?
4048
What is the lowest common multiple of 6400 and 53760?
268800
What is the common denominator of 23/18 and -119/13386?
40158
Find the common denominator of -103/234 and -131/49374.
49374
Calculate the least common multiple of 1932 and 85652.
256956
What is the common denominator of -145/16632 and -179/501732?
3010392
What is the common denominator of 64/15735 and 53/393?
2061285
Find the common denominator of -91/251712 and -19/144.
251712
Find the common denominator of -62/1491 and -73/15820.
3369660
What is the smallest common multiple of 114145 and 45658?
228290
What is the least common multiple of 24 and 25473?
203784
What is the lowest common multiple of 60781 and 243124?
243124
Calculate the common denominator of -1/11664 and 145/154224.
1388016
Calculate the lowest common multiple of 2637 and 109875.
329625
What is the lowest common multiple of 72 and 29466?
117864
Calculate the lowest common multiple of 384 and 150.
9600
Calculate the lowest common multiple of 495 and 161.
79695
Calculate the lowest common multiple of 506865 and 168955.
506865
Calculate the common denominator of -59/438 and -119/2190.
2190
Find the common denominator of -47/150 and 63/142960.
2144400
What is the least common multiple of 12233 and 351?
330291
Calculate the common denominator of -119/53574 and 67/10.
267870
Calculate the common denominator of 137/642 and -55/3852.
3852
Calculate the least common multiple of 147 and 65562.
65562
Calculate the common denominator of -31/193492 and 35/290238.
580476
Calculate the smallest common multiple of 141096 and 146975.
3527400
What is the common denominator of -3/1336 and -89/1800?
300600
What is the smallest common multiple of 5934 and 7912?
23736
What is the smallest common multiple of 18 and 2142?
2142
Calculate the least common multiple of 58482 and 418.
643302
What is the lowest common multiple of 1158 and 1636833?
3273666
What is the smallest common multiple of 927 and 7622?
68598
Calculate the common denominator of 61/7535 and 7/9.
67815
What is the common denominator of 14/67889 and -3/11?
746779
Calculate the lowest common multiple of 63620 and 47715.
190860
What is the common denominator of 71/1209 and 6/1891?
73749
Find the common denominator of -43/252 and -89/535864.
4822776
Find the common denominator of -49/50 and -43/218575.
437150
Find the common denominator of -23/190778 and -125/182.
2480114
Calculate the lowest common multiple of 837 and 222208.
5999616
Calculate the least common multiple of 5748 and 252.
120708
Calculate the lowest common multiple of 276045 and 1434.
552090
Calculate the common denominator of 29/2554 and -87/2.
2554
What is the smallest common multiple of 7572 and 22716?
22716
Calculate the common denominator of 133/1243572 and -35/66.
1243572
What is the smallest common multiple of 190 and 127927?
1279270
What is the smallest common multiple of 178890 and 417410?
1252230
Calculate the smallest common multiple of 2130 and 246867.
2468670
Calculate the least common multiple of 77 and 3228484.
35513324
Find the common denominator of 11/236025 and 71/9.
236025
Calculate the least common multiple of 276182 and 20.
2761820
What is the common denominator of 5/35868 and -97/5096?
932568
Calculate the common denominator of -85/186 and 151/38280.
1186680
Calculate the smallest common multiple of 759 and 113022.
1243242
What is the common denominator of -83/37484 and -67/32?
299872
Find the common denominator of -59/54702 and 23/18.
54702
What is the lowest common multiple of 320 and 190?
6080
Calculate the lowest common multiple of 905 and 1688.
1527640
Calculate the lowest common multiple of 23470 and 11735.
23470
Calculate the smallest common multiple of 10 and 50115.
100230
Calculate the smallest common multiple of 2640 and 13860.
55440
Calculate the common denominator of -59/336756 and 89/336.
1347024
Calculate the common denominator of -39/371056 and -13/53008.
371056
What is the common denominator of -23/2618 and 155/132?
15708
Calculate the common denominator of -21/1537280 and 27/307456.
1537280
Calculate the common denominator of -95/236 and -55/7024.
414416
Find the common denominator of 13/620744 and 35/6.
1862232
What is the lowest common multiple of 122 and 2056?
125416
Find the common denominator of 107/140 and 61/12964.
64820
Calculate the common denominator of -115/32076 and -77/7290.
160380
Calculate the lowest common multiple of 486147 and 1401.
486147
What is the smallest common multiple of 206280 and 6876?
206280
What is the smallest common multiple of 90 and 287550?
287550
What is the common denominator of -77/1580 and 37/35392?
176960
What is the common denominator of -187/180 and -83/57760?
519840
Calculate the smallest common multiple of 68816 and 77418.
619344
Find the common denominator of -61/927537 and 131/48.
14840592
Calculate the smallest common multiple of 141729 and 322.
6519534
What is the least common multiple of 14696 and 13360?
146960
Calculate the smallest common multiple of 728 and 2128.
27664
Find the common denominator of -103/216504 and -1/24056.
216504
What is the lowest common multiple of 35796 and 19?
35796
Calculate the lowest common multiple of 30 and 9770.
29310
What is the least common multiple of 6479 and 6?
38874
Calculate the least common multiple of 207 and 1816.
375912
Find the common denominator of -13/147 and 45/5324.
782628
Calculate the common denominator of 97/22 and 47/22902.
22902
Calculate the least common multiple of 79 and 566.
44714
Calculate the lowest common multiple of 11628 and 19380.
58140
What is the common denominator of -107/6030 and 113/130?
78390
Calculate the least common multiple of 114724 and 172.
114724
Calculate the least common multiple of 3906 and 7.
3906
What is the lowest common multiple of 1134 and 27972?
83916
What is the smallest common multiple of 4046 and 2176?
258944
Calculate the common denominator of 17/34385 and 67/22218.
1444170
Calculate the smallest common multiple of 14223 and 7758.
85338
Find the common denominator of 69/356080 and 25/142432.
712160
Calculate the common denominator of -23/808488 and -145/37824.
6467904
What is the least common multiple of 228 and 342?
684
Calculate the smallest common multiple of 675 and 184200.
1657800
Calculate the least common multiple of 89 and 541832.
541832
Calculate the smallest common multiple of 206448 and 2992.
206448
Calculate the com | {
"pile_set_name": "DM Mathematics"
} |
k**3 + m*k**4 + w*k**2 + h*k and give j.
1
Rearrange i - 418*i**3 - 710755 + 710755 to the form g*i**2 + d*i**3 + s + x*i and give d.
-418
Express (740 + 489 + 2181 - 549 + 6129)*(o**2 - o**2 + 2*o**2 + (-o - o + 6*o)*(-2 + 2*o + 2)) in the form h + k*o + y*o**2 and give y.
89900
Rearrange 41*p - 1487 - 4*p**2 - 106*p + 1488 + 43*p to the form t*p + f + n*p**2 and give n.
-4
Express (3*t + t - 2*t)*(4 - 3 - 2) - t - 3*t + 5*t - 2*t - 3 + 3 + 11*t + 23 - 23 + 61 + 34 - 76 + 87*t in the form l*t + d and give l.
95
Express -2 + 73*l + 21*l**3 + 5 - 75*l - 2*l**2 in the form t + m*l + w*l**2 + b*l**3 and give b.
21
Rearrange 73*r**3 - 2*r**4 - 66*r - 2 + r**4 + 271*r**2 - 275*r**2 + 66*r to u*r**2 + v*r**3 + a + z*r**4 + m*r and give u.
-4
Express -12104*m - 4218114 + 4218114 as c + q*m and give q.
-12104
Express (-4*i - 4 + 4)*(0*i**2 + 0*i**2 - 2*i**2 + (-1 + 1 + i**2)*(-57 - 10 + 8)) in the form m*i**3 + p*i + g + o*i**2 and give p.
0
Rearrange -1580 - 7*n**3 - 10*n**3 - 11*n**3 + 37*n**3 - 10*n**3 to t*n + s*n**3 + i*n**2 + j and give s.
-1
Express (5*a**3 - 3*a**3 - 4*a**3)*(141 - 14 - 40 + (12 + 15 - 7)*(2 - 2 + 1)) in the form x*a + v*a**2 + n + j*a**3 and give j.
-214
Express (-42*u**2 + 497*u**2 - 3*u**2)*(9*u**2 + 30*u - 30*u) as t + b*u + c*u**3 + z*u**2 + g*u**4 and give g.
4068
Rearrange (u + 0*u + 0*u + (3*u + 0*u - u)*(-3 + 1 + 3))*(0 + 5 - 4)*(108*u + 481713 - 481713) to g + y*u + t*u**2 and give t.
324
Express -i + 287*i**2 - 215*i**2 - 1 + 2*i**3 - 271*i**2 in the form b*i**3 + v*i + l*i**2 + z and give l.
-199
Express 11799*v + 6790*v + 5810*v + 1161*v + 2349*v as r + x*v and give x.
27909
Rearrange -2*b - 22*b**3 - 2357 - 2*b**4 + b**4 + 21*b**3 + 2355 - 169*b**2 to d*b**3 + l + m*b + v*b**4 + h*b**2 and give h.
-169
Rearrange (294*l**3 - 1514*l**3 + 643*l**3)*(-2 - 2 + 2) to c + p*l + u*l**3 + o*l**2 and give u.
1154
Express -21 + 83 - 2598*w - 31 - 31 in the form o + z*w and give z.
-2598
Rearrange (25*j**2 - 12*j**2 - 34*j**2)*(-4 + j + 4) - 20*j**3 - 75*j**3 - 175*j**3 to the form y + n*j + d*j**3 + k*j**2 and give d.
-291
Rearrange (42 - 295 - 66)*(324 - 324 - 8*l**4) to the form f*l**2 + a*l**3 + i + o*l + x*l**4 and give x.
2552
Rearrange 3544*z - 1669*z + 2012*z to the form a + v*z and give v.
3887
Express (-106 + 58 + 53)*(17*p - 10*p - 11*p - 4*p + 3 - 3 + (5*p - 3*p - 4*p)*(-1 + 0 + 0) + 4 - 4 - 2*p) as j*p + q and give j.
-40
Express (7 - 7*r - 7)*(r**2 + 1 - 1) + (8*r**3 + 19 - 19)*(-88 + 29 + 29)*(2 - 1 + 1) as z*r**3 + w*r + v + t*r**2 and give z.
-487
Express -x**4 + 2 + 3*x**4 + 56*x**3 + 10*x + 4*x**2 + 10*x**2 - 7*x - 16*x**2 in the form w*x + c*x**2 + z*x**3 + a*x**4 + j and give j.
2
Express 7*v**3 + 0*v**2 + 2 - 11816*v + 11794*v - 2*v**2 as r*v + t*v**3 + s + f*v**2 and give s.
2
Express q**3 + 2*q + 1022*q**4 - 1850*q**4 + 827*q**4 - 24 - 15*q**2 in the form n*q**3 + v*q**2 + c*q**4 + t*q + r and give c.
-1
Express -17*u + u**4 + 625 + 3*u**3 + u - 626 as w*u**2 + d + i*u + v*u**4 + m*u**3 and give i.
-16
Express (-c + 0*c + 0*c)*(-10 + 63 + 6 + (-2 + 0 + 3)*(4 - 3 - 2) + 34 - 41 - 33) as l + x*c and give l.
0
Rearrange 409*r**3 + 1 + 57880*r - 28936*r - 28945*r to h*r**2 + s*r + v + z*r**3 and give s.
-1
Express -9*j**2 + 4*j**2 - 120 - 216 + 7*j**3 + 7*j**2 as w + g*j + n*j**3 + k*j**2 and give n.
7
Express (2 + 3 - 4 + (-3 - 1 + 1)*(1 + 0 - 5))*((0 - 2 + 0)*(-3 + 1 + 3) + 3 + 0 - 2)*(-7*a + 13*a - 8*a) as k + y*a and give y.
26
Express -6666*x**4 - 10*x**3 - 6675*x**4 - 4 + 13327*x**4 + (2*x**3 + x**3 + 0*x**3)*(2*x + 0 + 0) as u + v*x**2 + z*x + n*x**3 + d*x**4 and give n.
-10
Express -12*v**2 + 10*v**2 - 2*v**2 - 2 + 7*v**2 + 86*v - 2*v**4 in the form w*v**3 + u*v**4 + x*v**2 + s + f*v and give x.
3
Express 0*p + 2*p**3 + p - 50 + 408 - 2*p in the form g*p + w*p**3 + i + r*p**2 and give i.
358
Rearrange (2 - 3*y**2 - 2*y**2 + 4*y + 4*y**2)*(-795 + 795 + 354*y)*(4*y + 2*y - 4*y) to o + x*y**3 + t*y**4 + l*y**2 + p*y and give l.
1416
Rearrange (0 + 1 + 1)*((4*b**2 - 5*b**2 - b**2)*(-b**2 + 1 - 1) + 926 + 1756*b**4 - 926) to u*b + l*b**4 + j*b**2 + p*b**3 + s and give l.
3516
Rearrange (-2*z + 2 - 2)*(1 + 3 - 2) - 16 + 16 - z + (2 - 7 + 7)*(28*z - 28*z - 106*z) to s*z + w and give s.
-217
Rearrange 37990*p - 8091*p + 1255*p to the form a*p + l and give a.
31154
Express (-4 + 1 + 2)*(-19 + 72 + 24)*(w**2 - 2*w + 2*w) as t + a*w**2 + x*w and give a.
-77
Rearrange 157*t**2 - 2 + t**3 + 104*t**2 + 1 + t**4 - 217*t**2 + t**4 to x*t**2 + n + i*t**3 + f*t**4 + s*t and give i.
1
Rearrange (1 + 0 + 1)*(2*w - 5*w + 0*w)*(-30*w + 23*w - 41*w)*(2 - 3 + 2 + (-3 + 3 - 3)*(4 - 3 + 0) - 1 - 2 + 1) to the form b*w + y + m*w**2 and give m.
-1152
Rearrange (2 - 1 - 5)*(u + 0 + 0) + 4843*u + 5393*u - 11466*u to the form j + g*u and give g.
-1234
Express 8723827*h - h**3 - 8723825*h - 2*h**2 - 2*h**3 - 9 + h**4 in the form n*h**2 + j*h**4 + c*h + g*h**3 + q and give j.
1
Rearrange (-3*j - 4*j + 4*j)*(379 + 8 - 1452) to the form w*j + c and give w.
3195
Rearrange -3507*x - 6036*x + 3218*x - 6685*x to the form j*x + z and give z.
0
Rearrange 3787*r**3 - 1889*r**3 - 2249*r**3 + 5*r**2 to s*r**2 + k*r**3 + q + b*r and give k.
-351
Express 7*l + 15*l - 349*l**2 - 24*l + 167 + 69 + 2*l**3 + 348*l**2 in the form m*l + v*l**3 + n + y*l**2 and give n.
236
Rearrange -5*w**2 + 3*w - 1745 + 2*w**2 + w**2 + w**2 + 3693 to the form o*w**2 + n*w + l and give o.
-1
Express 14*y**2 - 166*y + 5*y**3 + 169*y - 13*y**2 - 6 as k + h*y + c*y**2 + v*y**3 and give h.
3
Express -251*w**4 + w**2 - 254*w**4 - 3*w**3 + 2*w**3 + 2*w + 518*w**4 + 4 in the form h*w**2 + c*w**4 + b*w**3 + i*w + a and give b.
-1
Rearrange 13 + 22*g + 11*g - 61*g + 24*g to m*g + d and give m.
-4
Rearrange 1048*k**2 + 416*k**2 + 56*k**2 - 10*k + 8*k to d + x*k + u*k**2 and give u.
1520
Rearrange -32*x**3 + 15*x**2 + x + 3 - 5*x**2 - 6 - 11*x**2 + 71*x**3 + 2*x**4 to the form c + v*x + j*x**4 + g*x**3 + s*x**2 and give s.
-1
Rearrange (-2 + 0 + 3)*(-467*z - 224*z + 32 + 21*z) to l + j*z and give j.
-670
Express -3*c**2 - 28233*c**3 + 14031*c**3 + 13978*c**3 + 2 as w*c**3 + d*c + b + s*c**2 and give s.
-3
Express 0*n**3 + n**3 - 4 - 6451*n**2 + 3230*n**2 + 8*n**4 + 3224*n**2 in the form y*n + v*n**4 + z*n**2 + g*n**3 + r and give g.
1
Express 75*p - 146*p - 268*p - 29*p + 3 - 9 as m + t*p and give t.
-368
Rearrange (-16880 - 16892 + 30502)*(-3*m + 3*m + 2*m**2) to p*m + q*m**2 + x and give q.
-6540
Rearrange (-43*s**2 - 122 + 122)*(9*s - 10*s + 7*s + 21)*(1 + 0 - 2) to the form v*s**3 + i*s**2 + l*s + g and give i.
903
Rearrange (245343*w**2 - 245343*w**2 - 1877*w**4)*(1 - 2 - 3) to u*w + c*w**2 + t*w**4 + d + l*w**3 and give t.
7508
Express -2 + 2 + 2805*h + 3*h**3 + 3*h**2 - h**3 + 10*h**4 - 2804*h in the form f*h**3 + x*h + z*h**2 + i*h**4 + d and give i.
10
Rearrange 73*n - 43*n + 111*n + 21*n - 3 to y + f*n and give f.
162
Rearrange 2170*a - 4244*a + 2118*a - 24 to f*a + r and give f.
44
Express -19 + 54*t**3 + 7 + 0*t**2 + 2*t**2 + 11 in the form c*t**3 + u + p*t + n*t**2 and give c.
54
Rearrange (-d - 8*d + 7*d)*(-174 + 174 - 54*d**3)*(3 - 8 + 31 - 3) to the form y*d**3 + r*d**2 + o + k*d + q*d**4 and give q.
2484
Rearrange 282013 + 12*u - 282622 - 14*u to the form w*u + s and give w.
-2
Express -555*x + 38*x**2 + 83*x - 41*x**2 - 174*x as a*x + u + c*x**2 and give u.
0
Express -39*r**2 - r + 2*r + 385 - 37*r**2 + 82*r**2 as q*r + y*r**2 + f and give q.
1
Rearrange 4*d**2 + 16*d + 3*d**2 - 10*d**2 + (2*d + 0 + 0)*(0*d - d + 2*d) - 36*d + 36*d - 6*d**2 to l + q*d**2 + t*d and give q.
-7
Express 3*b - 10454 + 0*b - 2*b - 3*b + 10453 - 4*b**3 - b**2 as m*b**3 + a*b + h + r*b**2 and give a.
-2
Express (-2 - 1 + 1)*(0*r + 2*r - 3*r)*(-1756982858 + 1756982858 + 11650*r) as y*r + d*r**2 + u and give d.
23300
Express 305*p**3 + 14*p + 299*p**3 - 614*p**3 + 17*p + 72*p in the form h*p**3 + f + l*p + j*p**2 and give l.
103
Express 3*q**3 - 326*q - q**2 + 324*q - 5947 + 5988 in the form z*q**2 + p + k*q**3 + y*q and give k.
3
Rearrange 3 - 2*g**2 + 70*g**2 - 100*g**2 to b + d*g**2 + v*g and give b.
3
Express 1605*p**4 + 5*p - 3244*p**4 + 145*p**3 + p**2 + 1641*p**4 + 1 in the form f + t*p**4 + x*p + o*p**2 + n*p**3 and give t.
2
Rearrange -12*g + 15*g - 4*g + 6*g**4 + 4*g**4 | {
"pile_set_name": "DM Mathematics"
} |
et t(l) = 3*l. Let g(d) = 2*b(d) - 5*t(d). Let h be g(0). Let j be 1/(-4)*h*-8. Put -3, j, 1 in ascending order.
-3, 1, j
Let p be -1 + (-3 - (1 - 3)). Let q be p/9 + 8/36. Sort -5, q, 2 in decreasing order.
2, q, -5
Suppose 3*t = k + 9, 0*k - 4*k + 3 = t. Suppose -5*p + w = -12, 2*p + k*w - 12 = -2*w. Sort 5, p, 4 in ascending order.
p, 4, 5
Let z = -12 - -11. Put 2/11, 1, z in decreasing order.
1, 2/11, z
Let n be -1*1 + (11 - 13). Put 2, n, -18 in increasing order.
-18, n, 2
Let l(x) = x**2 + 6*x - 2. Let v be l(-6). Sort 5, v, 18, -4 in descending order.
18, 5, v, -4
Let q be 1/(-2) - (1 + 57/(-30)). Put q, -3, -4 in descending order.
q, -3, -4
Let i = -0.15 + 0.15. Put 3, -4, i in ascending order.
-4, i, 3
Let l be -7 + 6 + 0/(-1). Sort l, -4, -2 in descending order.
l, -2, -4
Let r be (8/6)/(2/6). Let f be (-21)/(-27) + r/18. Let b be ((-5)/(-1))/(f - 2). Sort -3, 4, b in decreasing order.
4, -3, b
Suppose 0 = 8*n + 12*n + 100. Put 7, 2, n, 1 in decreasing order.
7, 2, 1, n
Let h be (-6)/39 - 24/351. Sort -4/3, 1, h in descending order.
1, h, -4/3
Suppose -5*f = -0*f + 5*h - 5, -3*h + 9 = 5*f. Sort -2, 12, f in ascending order.
-2, f, 12
Let p = 0.39 - -0.11. Let z = 5.4 + -1.4. Put p, -4, z in descending order.
z, p, -4
Let s = -2 + 4. Let g = s + -6. Sort 5, g, -0.01 in decreasing order.
5, -0.01, g
Let q = -51/10 + 18/5. Sort 4/3, -1/4, q, -2/13 in ascending order.
q, -1/4, -2/13, 4/3
Let l = 0.6 + -1.8. Let i = -1.4 - l. Sort 5, -4, i in increasing order.
-4, i, 5
Let d = -3.4 - -5. Let z = -2 + d. Put 2, -1/5, z in descending order.
2, -1/5, z
Let v = 0.03 + -0.13. Let x = 2/3 + -13/24. Sort -0.2, x, v.
-0.2, v, x
Suppose -2*k - 4 = 4*y - 0, -4*y - 12 = 0. Suppose -22 = 3*i + 4*j, 4*i = -2*j + j - 12. Sort i, k, -3 in descending order.
k, i, -3
Let v be (-1)/(-3) + 2/3. Suppose 10*s + 9 = -21. Sort s, v, 4 in descending order.
4, v, s
Let n(k) = 4*k - 30. Let j be n(9). Sort j, 2, -3 in increasing order.
-3, 2, j
Suppose -5*f + 0 = -3*w + 9, 4*f = -4*w - 20. Let n = -2 - -4. Suppose -n = i + i. Put f, i, 4 in ascending order.
f, i, 4
Let p = -5/2 - -4. Let g = 0 + -1.7. Let i = g - -2. Sort i, p, 4.
i, p, 4
Suppose 7 = w - z, -5*w + z + z + 38 = 0. Suppose 3*o + 6 = -3*u + w*o, -3*u + 3 = -2*o. Put -5, 7, u in decreasing order.
7, u, -5
Let l = 177/4 - 44. Let x be (2/21)/(4/24). Let z = 69 - 347/5. Put l, x, z in descending order.
x, l, z
Let l(z) = z**2 + 26*z + 145. Let r be l(-18). Suppose -13 = -3*h - 4. Put r, h, -5 in ascending order.
-5, r, h
Suppose 0 = 2*h + 449 - 457. Let y = -1 - -4. Suppose -3*p = 9 + y. Sort p, -3, h in increasing order.
p, -3, h
Let n(z) = z + 16. Let p be n(-13). Let w = 5 - p. Sort 6, w, 1 in descending order.
6, w, 1
Let k = 8 - 7.7. Suppose -2*z = z + 9. Sort z, k, -0.3 in decreasing order.
k, -0.3, z
Let v be 2 - (45/55)/(6/16). Sort v, 2, 0.2, -4 in increasing order.
-4, v, 0.2, 2
Let w = 89 - 92. Put 2, w, -2, 34 in increasing order.
w, -2, 2, 34
Let y = 22.36 - -0.44. Let p = y - 21. Let o = -0.2 - p. Put 1, o, -1 in descending order.
1, -1, o
Let z(n) = n**3 + 6*n**2 + 3*n - 6. Let h be z(-5). Put 0, -3, h in descending order.
h, 0, -3
Suppose p + 27 = -4*m + 10, -2*p + 2 = -4*m. Sort -2, 4, p, 0 in descending order.
4, 0, -2, p
Suppose -4*z - 7 = -19. Put -5, -2, -7, z in descending order.
z, -2, -5, -7
Let b be (-13)/6 + 3/18. Let u be 2/(-2) + (-6 - b). Put u, -1, 1 in increasing order.
u, -1, 1
Let z(d) = d + 5. Let g be z(-8). Let t be g/(-9) + (-3)/(-9). Let p be 0 + (-4)/(-14) - 0. Sort p, t, -2/5 in decreasing order.
t, p, -2/5
Let a = -12 - -8. Suppose 3*m = -3*i - 2*m + 35, -2*m = -3*i + 7. Sort -3, a, i in ascending order.
a, -3, i
Let d be (-2)/(-4) - (-12)/8. Let r = 32 + -32.2. Put r, d, 3 in increasing order.
r, d, 3
Suppose -4*p - 7 = k - 4, 3*k + p = 13. Let c be 4/(-10) - 17/(-5). Put -4, k, c in descending order.
k, c, -4
Let d = 3.7 + -3.3. Sort 4, -5, d in decreasing order.
4, d, -5
Let j be -1 + (2 - 1) + 1. Let w = -31 - -26. Sort 0, j, w in descending order.
j, 0, w
Let w be (-3 + 2)*3/(5 - 2). Put 4, 5, 2, w in ascending order.
w, 2, 4, 5
Let g = -26 + 236/9. Sort g, -6, -4/3, -0.2 in ascending order.
-6, -4/3, -0.2, g
Suppose 4*v = -l - 7, -2*v + 4*l - 9 = 17. Let s be 1/(-4) + (-17)/(-4). Sort v, 3, s in descending order.
s, 3, v
Let u = 17 + -17. Sort 20, u, 1.
u, 1, 20
Let v = 5 - 9. Let t be -1 + ((-48)/(-10))/3. Suppose -y - i = -4, -3*i - 8 = y - 8*i. Sort t, y, v in ascending order.
v, t, y
Let v = -3.7 - -1.8. Let u = -0.1 + v. Put -1/2, u, -4/9 in descending order.
-4/9, -1/2, u
Let y = -23 + 12. Let q = -20 - y. Let z = q + 13. Put -2/3, -1/5, z in ascending order.
-2/3, -1/5, z
Let x = -6.5 + 6. Sort 2/11, 1, x in descending order.
1, 2/11, x
Let z = -20 + 18. Let s = -69 + 485/7. Suppose 0 = -4*d - f - 2, 5*d - 5*f = -0*f + 10. Put d, s, z in ascending order.
z, d, s
Let m = -6 + 8. Sort 5, m, -2.
-2, m, 5
Let d be (-1*5)/(1/(-2)). Suppose -5 = 5*p + d. Let n be -2 + (3 - 3)/p. Sort 0, n, 5 in descending order.
5, 0, n
Let h = -11.16 - -2.09. Let r = 9 + h. Let v = 4.07 + r. Put 2, v, -1/3 in descending order.
v, 2, -1/3
Let s = 6 - 1. Put 3, s, -4 in descending order.
s, 3, -4
Let q be 1/(((-11)/6)/(-11)). Let b be (-15)/(-140)*(-21)/q. Sort -0.4, -2/15, b.
-0.4, b, -2/15
Let j = 3.89 + 0.11. Suppose 0 = 3*v + r + 13, -5*r + 2 = -5*v - 13. Suppose -3*o - 4*g = -8*o + 13, 4*o + 4*g - 32 = 0. Sort o, v, j.
v, j, o
Let v = 11/3 + -3. Let i be 2/(-1)*(-5)/2. Sort 3, v, i.
v, 3, i
Let h be (2 - (-15)/(-7))*2. Let g = 10 - 14. Let a = g - -7. Put a, -0.1, h in descending order.
a, -0.1, h
Suppose i - 3*i + 5*d = -35, 5*i - 10 = -3*d. Suppose 5*c + 242 = 247. Let z(t) = 8*t**3 - t**2 + t. Let f be z(1). Sort i, f, c in increasing order.
c, i, f
Suppose r - 5 = -0*f - f, -2*r = -3*f. Let j = 7 - r. Suppose 2*u = -2*u - j. Sort 0, -3, u in ascending order.
-3, u, 0
Let o(m) = -m**3 - 4*m**2 - m - 1. Let l be o(-3). Sort -2, 3, l in ascending order.
l, -2, 3
Let x(t) = -1. Let a(g) = g**2 - 8*g + 13. Let q(p) = a(p) + 5*x(p). Let j be q(6). Sort j, -1, -5 in decreasing order.
-1, j, -5
Let a = -12 - -7. Let q = -3.3 + -0.7. Let s = q + 3. Put 0.5, s, a in increasing order.
a, s, 0.5
Let u = 0.02 + 0.18. Sort -2/11, u, -3 in descending order.
u, -2/11, -3
Let l be (-1)/(8/(-38)) + (-9)/12. Let o = 4 + -4.4. Sort l, o, -1 in increasing order.
-1, o, l
Let f be (228/32)/(3/4). Let u = f - 9. Sort -2/5, -0.1, u in ascending order.
-2/5, -0.1, u
Let k be (1 + 2)*11/(-55). Put -20, 1/3, k in increasing order.
-20, k, 1/3
Let k(r) = -r**3 + 4*r**2 - r + 7. Let q be k(4). Put -5, -2, q, 4 in decreasing order.
4, q, -2, -5
Let w(y) = -3*y + 37. Let j be w(16). Sort 0.2, 0.4, j in decreasing order.
0.4, 0.2, j
Let p = 74 + -74. Put 0.4, p, -1/3 in descending order.
0.4, p, -1/3
Let z = 171 - 174. Sort -0.2, z, 1 in increasing order.
z, -0.2, 1
Let h be 66/(-40) + (2/5)/1. Put 0.2, 3, -5, h in decreasing order.
3, 0.2, h, -5
Let t = 11.7 - 12. Let y = 0.3 + 0.1. Sort t, y, -5.
-5, t, y
Suppose -14 = -2*v - 2*o, -13 = -v - 6*o + 2*o. Suppose v*a + 19 = i, -4*i - 3*a + 4*a = 0. Sort 3, -2, i in ascending order.
-2, i, 3
Suppose k = -0*k. Suppose -5*j - 4*z = -5, k*j + 3*j - 3 = 3*z. Sort -3, 2, j.
-3, j, 2
Let n(k) = 3*k - 1. Let a be n(1). Let h = -0.05 + -0.05. Put a, h, 3 in descending order.
3, a, h
Let a be 1/5 - 62397/(-315). Let x = a + -198. Let w = -3 + 2. Sort x, 2, w.
w, x, 2
Let t(b) = -b**3 - 2*b**2 + 3*b - 1. Let l be t(-3). Let s = 18 - 13. Sort s, l, -2 in ascending order.
-2, l, s
Let p = 2 - 2. Suppose 0 = u + 3*d + 1, p = 4*u + 5*d - 3 - 7. Let o = 3 - 8. Put -3, u, o in descending order.
u, -3, o
Suppose -3*v - v = -4. Let n(j) = -4*j**2 - 2*j + 1. Let g be n(v). Put g, -4, -3 in ascending order.
g, -4, -3
Let f = 823 + -14819/18. Let y = f + 7/9. Let l = 0.91 - 1.41. Put -0.4, y, l in decreasing order.
y, -0.4, l
Let b be (-133)/35 - 4/(-1). Sort -1, b, 2/15 in descending order.
b, 2/15, -1
Let g = -26 - -25.7. Sort g, -1/6, -0.5, -1/5.
-0.5, g, -1/5, -1/6
Let y = -73 + 72. Put 5, -5/4, y in increasing order.
-5/4, y, 5
Suppose -2*j = 0, 4*j - 3*j = v - 2. Let k = -1 + v. Put k, 4, -4 in ascending order.
-4, k, 4
Let t = -156 - -153. Put 4, t, 5, -1 i | {
"pile_set_name": "DM Mathematics"
} |
+ z - 18
What is the y'th term of 935, 3778, 8523, 15170, 23719, 34170, 46523?
951*y**2 - 10*y - 6
What is the v'th term of 29339, 58813, 88433, 118199, 148111, 178169?
73*v**2 + 29255*v + 11
What is the k'th term of -1540, -965, 564, 3515, 8356, 15555, 25580?
78*k**3 + 9*k**2 + 2*k - 1629
What is the d'th term of 88332, 88900, 89468, 90036, 90604?
568*d + 87764
What is the w'th term of -15688, -16455, -17734, -19525, -21828, -24643, -27970?
-256*w**2 + w - 15433
What is the b'th term of -32643, -59572, -86501, -113430?
-26929*b - 5714
What is the w'th term of -4168069, -4168071, -4168073, -4168075, -4168077?
-2*w - 4168067
What is the n'th term of -56850, -113686, -170522?
-56836*n - 14
What is the v'th term of -15564, -15273, -14982, -14691, -14400, -14109?
291*v - 15855
What is the t'th term of 39020907, 39020909, 39020911, 39020913, 39020915, 39020917?
2*t + 39020905
What is the x'th term of 9982, 40132, 90376, 160714, 251146, 361672?
10047*x**2 + 9*x - 74
What is the o'th term of -2829, -5585, -8359, -11151, -13961, -16789, -19635?
-9*o**2 - 2729*o - 91
What is the a'th term of 1850, 7783, 17666, 31499, 49282, 71015, 96698?
1975*a**2 + 8*a - 133
What is the q'th term of -1556, -3092, -4564, -5960, -7268, -8476, -9572?
2*q**3 + 20*q**2 - 1610*q + 32
What is the n'th term of -10615849, -10615843, -10615833, -10615819?
2*n**2 - 10615851
What is the j'th term of 930, 3644, 8140, 14424, 22502, 32380, 44064, 57560?
j**3 + 885*j**2 + 52*j - 8
What is the i'th term of -98713, -197156, -295599?
-98443*i - 270
What is the h'th term of -885534, -1771179, -2656808, -3542415, -4427994, -5313539, -6199044, -7084503?
h**3 + 2*h**2 - 885658*h + 121
What is the h'th term of -31698248, -31698247, -31698246, -31698245, -31698244, -31698243?
h - 31698249
What is the p'th term of 19411, 32641, 45871, 59101, 72331, 85561?
13230*p + 6181
What is the m'th term of 6080, 5950, 5744, 5462?
-38*m**2 - 16*m + 6134
What is the p'th term of -2371, -1785, -199, 2885, 7965, 15539, 26105, 40161?
83*p**3 + 2*p**2 - p - 2455
What is the l'th term of -1049, -1378, -1669, -1904, -2065, -2134, -2093, -1924?
3*l**3 + l**2 - 353*l - 700
What is the l'th term of -30266517, -60533026, -90799529, -121066026?
3*l**2 - 30266518*l - 2
What is the x'th term of -18932708, -18932710, -18932712, -18932714, -18932716?
-2*x - 18932706
What is the a'th term of 10025047, 10025043, 10025029, 10024999, 10024947, 10024867?
-a**3 + a**2 + 10025047
What is the h'th term of 7324033, 7324030, 7324027, 7324024?
-3*h + 7324036
What is the f'th term of 2821, 4610, 6057, 7168, 7949, 8406, 8545?
f**3 - 177*f**2 + 2313*f + 684
What is the u'th term of 75333118, 75333117, 75333116, 75333115, 75333114, 75333113?
-u + 75333119
What is the w'th term of 79538334, 159076672, 238615010, 318153348, 397691686?
79538338*w - 4
What is the z'th term of -225402, -450832, -676262, -901692, -1127122, -1352552?
-225430*z + 28
What is the z'th term of 91523446, 183046890, 274570334, 366093778, 457617222?
91523444*z + 2
What is the y'th term of -689922, -690156, -690786, -692010, -694026?
-33*y**3 - 3*y - 689886
What is the w'th term of -2602, -5129, -7534, -9781, -11834?
6*w**3 + 25*w**2 - 2644*w + 11
What is the t'th term of -22206, -24541, -26876, -29211?
-2335*t - 19871
What is the k'th term of 12864, 25774, 38734, 51744, 64804, 77914, 91074?
25*k**2 + 12835*k + 4
What is the g'th term of 39952, 77469, 114986, 152503?
37517*g + 2435
What is the n'th term of 928028, 1856054, 2784080, 3712106?
928026*n + 2
What is the f'th term of 2147628, 2147626, 2147624?
-2*f + 2147630
What is the i'th term of -21628, -47821, -74014, -100207?
-26193*i + 4565
What is the z'th term of 95, 170, 379, 794, 1487?
12*z**3 - 5*z**2 + 6*z + 82
What is the y'th term of 34180161, 68360323, 102540485, 136720647?
34180162*y - 1
What is the t'th term of 7008, 14203, 21364, 28485, 35560, 42583?
-t**3 - 11*t**2 + 7235*t - 215
What is the g'th term of -419015, -419017, -418999, -418955, -418879, -418765?
g**3 + 4*g**2 - 21*g - 418999
What is the w'th term of -22057525, -22057530, -22057535, -22057540?
-5*w - 22057520
What is the g'th term of -107, 658, 3087, 8014, 16273, 28698?
139*g**3 - 2*g**2 - 202*g - 42
What is the r'th term of 852, 7324, 24914, 59184, 115696, 200012, 317694?
927*r**3 - 3*r**2 - 8*r - 64
What is the o'th term of 15411682, 15411697, 15411722, 15411757?
5*o**2 + 15411677
What is the s'th term of -13909, -55764, -125575, -223342, -349065?
-13978*s**2 + 79*s - 10
What is the l'th term of 98414, 393668, 885724, 1574552, 2460122, 3542404, 4821368?
-5*l**3 + 98431*l**2 - 4*l - 8
What is the z'th term of -9695, -39330, -88721, -157868, -246771, -355430, -483845?
-9878*z**2 - z + 184
What is the q'th term of 198264, 198192, 198120, 198048, 197976, 197904?
-72*q + 198336
What is the v'th term of -1956, -3770, -5312, -6444, -7028, -6926?
23*v**3 - 2*v**2 - 1969*v - 8
What is the m'th term of 28735, 57349, 85963, 114577, 143191?
28614*m + 121
What is the p'th term of 647867, 647876, 647893, 647918?
4*p**2 - 3*p + 647866
What is the d'th term of 460983, 1843890, 4148721, 7375476, 11524155?
460962*d**2 + 21*d
What is the h'th term of 51632, 206534, 464700, 826130, 1290824, 1858782, 2530004?
51632*h**2 + 6*h - 6
What is the w'th term of -170662, -171018, -171374, -171730?
-356*w - 170306
What is the k'th term of 11810422, 11810398, 11810374?
-24*k + 11810446
What is the s'th term of 224739246, 224739242, 224739226, 224739192, 224739134, 224739046, 224738922, 224738756?
-s**3 + 3*s + 224739244
What is the t'th term of -885068, -885070, -885070, -885068?
t**2 - 5*t - 885064
What is the g'th term of 20404, 19684, 18966, 18250, 17536, 16824?
g**2 - 723*g + 21126
What is the z'th term of 148773, 147642, 146511?
-1131*z + 149904
What is the l'th term of -943735, -943824, -943973, -944182, -944451, -944780?
-30*l**2 + l - 943706
What is the w'th term of 2312, 8058, 17624, 31010, 48216, 69242, 94088?
1910*w**2 + 16*w + 386
What is the d'th term of -116100, -232322, -348544, -464766, -580988, -697210?
-116222*d + 122
What is the n'th term of 253722, 253876, 254032, 254190, 254350?
n**2 + 151*n + 253570
What is the t'th term of 121, 803, 2067, 3955, 6509, 9771?
7*t**3 + 249*t**2 - 114*t - 21
What is the t'th term of -1853585, -1853599, -1853623, -1853657, -1853701, -1853755, -1853819?
-5*t**2 + t - 1853581
What is the z'th term of 8612948, 8612959, 8612970, 8612981, 8612992, 8613003?
11*z + 8612937
What is the d'th term of 1131, 3841, 8265, 14409, 22279, 31881?
d**3 + 851*d**2 + 150*d + 129
What is the j'th term of -96392, -192821, -289250, -385679, -482108?
-96429*j + 37
What is the z'th term of 1184, 2855, 5064, 7811, 11096?
269*z**2 + 864*z + 51
What is the i'th term of -5090, -7590, -10090, -12590, -15090?
-2500*i - 2590
What is the w'th term of 24423, 49241, 74059, 98877, 123695?
24818*w - 395
What is the v'th term of 2057435, 2057363, 2057291, 2057219?
-72*v + 2057507
What is the u'th term of 18099806, 18099812, 18099822, 18099836?
2*u**2 + 18099804
What is the v'th term of 13668, 108856, 367232, 870390, 1699924?
13599*v**3 - 5*v + 74
What is the w'th term of -77634196, -77634194, -77634190, -77634184?
w**2 - w - 77634196
What is the m'th term of -398532, -796949, -1195366, -1593783, -1992200, -2390617?
-398417*m - 115
What is the g'th term of 18276304, 36552606, 54828908, 73105210, 91381512, 109657814?
18276302*g + 2
What is the m'th term of -915, -1848, -2869, -4020, -5343, -6880, -8673?
-7*m**3 - 2*m**2 - 878*m - 28
What is the l'th term of -51666, -206706, -465112, -826890, -1292046, -1860586?
-l**3 - 51677*l**2 - 2*l + 14
What is the h'th term of 161, 6315, 12465, 18611?
-2*h**2 + 6160*h - 5997
What is the z'th term of -42594918, -85189838, -127784758?
-42594920*z + 2
What is the t'th term of -58687, -60167, -61645, -63121, -64595, -66067, -67537?
t**2 - 1483*t - 57205
What is the i'th term of -27972489, -27972484, -27972473, -27972456, -27972433, -27972404?
3*i**2 - 4*i - 27972488
What is the g'th term of 101, 51, 215, 701, 1617, 3071, 5171, 8025?
18*g**3 - g**2 - 173*g + 257
What is the n'th term of -86736330, -86736333, -86736336, -86736339, -86736342?
-3*n - 86736327
What is the w'th term of -1618, -6824, -12030, -17236, -22442?
-520 | {
"pile_set_name": "DM Mathematics"
} |
0, -0.5, 109, 0.08?
-0.5
What is the nearest to -1/3 in -3, 89, 3/5, 5, -37/7?
3/5
Which is the nearest to -2? (a) 0.4 (b) 96/5 (c) 0.1
c
What is the nearest to -25 in -3, 3236, -0.5?
-3
Which is the closest to 661? (a) 1/2 (b) -0.04 (c) 5 (d) -0.4 (e) -3
c
Which is the closest to 2/5? (a) 8 (b) 7 (c) 16
b
What is the nearest to -1 in 20, 4, 0.4, -2/13?
-2/13
What is the closest to 2/9 in 3.7, 5, -0.5?
-0.5
Which is the nearest to 1? (a) 0.12 (b) -42 (c) 0
a
Which is the closest to 1/16? (a) 0.00051 (b) -2 (c) -4/3
a
What is the nearest to 0 in 2/15, 6232, 0?
0
Which is the closest to 0.19? (a) 1/4 (b) 0.71 (c) -4 (d) 1/7
d
What is the closest to 0.38 in -1/3, 2, 1.13?
-1/3
Which is the closest to -545/6? (a) -0.024 (b) 0 (c) 1.2 (d) -1/3
d
Which is the nearest to -1? (a) -25 (b) -7/2 (c) 4 (d) -3
d
What is the closest to 0.19 in -4, -9, -60?
-4
Which is the nearest to -1? (a) 1.108 (b) -1 (c) -27/4
b
What is the nearest to 2/65 in 2/3, -1.8, 5, 3/4, 1/3?
1/3
What is the closest to -352.9 in 2, 5, -0.1, -3?
-3
Which is the closest to 0.1? (a) 2/9 (b) 8 (c) -362 (d) 2/5
a
Which is the nearest to -2671? (a) -1 (b) 0.1 (c) -53
c
Which is the closest to -1/3? (a) -2 (b) 20.9 (c) 0.084
c
Which is the closest to 0.1? (a) 0.6 (b) -0.02 (c) 58.4
b
What is the nearest to 33/14 in -2, 0.22, -1/3?
0.22
What is the nearest to -3 in 6, 0.5, -4, 34, 2?
-4
Which is the nearest to -0.1? (a) -1/2 (b) -2/3 (c) 24 (d) 1.25 (e) 1/6
e
What is the nearest to 6/7 in 54, -15, -0.4, -0.3, -3/2?
-0.3
What is the closest to -2/23 in 227, 3, -2?
-2
Which is the nearest to -0.2? (a) -0.091 (b) 0.4 (c) -1/3
a
Which is the nearest to 5? (a) 0.2 (b) -4/3 (c) -1 (d) 6413
a
What is the nearest to 0 in 130, 17, -3?
-3
Which is the closest to 1? (a) 1/6 (b) -295 (c) -0.3 (d) -3 (e) -5
a
Which is the nearest to 3? (a) -2/9 (b) -0.5 (c) 4594 (d) 2/15
d
Which is the nearest to -0.3886? (a) 0.002 (b) -4 (c) 0
c
Which is the nearest to 2/85? (a) -0.5 (b) 53 (c) 3/7 (d) 0.3
d
Which is the nearest to 1/9? (a) 22 (b) -0.2 (c) -4 (d) -2/15 (e) 0
e
What is the closest to -0.1 in 2, 0.3, 0.25, 4?
0.25
Which is the nearest to 0.1? (a) -2/11 (b) -801 (c) 1/18 (d) 4
c
What is the nearest to -1 in -1/2, 0.11, 1/4, 130?
-1/2
Which is the closest to 0? (a) -3/7 (b) 3/8 (c) 6 (d) -2/35
d
What is the closest to 0.3 in 2, -0.08, 1/2, -2, -13?
1/2
Which is the nearest to 0.1? (a) -1/3 (b) -123826 (c) 0.5
c
Which is the nearest to -88? (a) 2 (b) -5 (c) -2 (d) -2/25 (e) 0.3
b
What is the nearest to 6 in -2/241, -0.115, 1/4?
1/4
Which is the closest to -4? (a) -0.09072 (b) -1 (c) 1/4
b
What is the nearest to 1 in -1, 1/8, -33, -0.3, 1?
1
Which is the nearest to -2? (a) 4/7 (b) -2/3 (c) -2 (d) -5 (e) -0.3
c
Which is the closest to 1/41? (a) 2/7 (b) 0.5 (c) 6
a
What is the closest to 8 in 0, -2, 0.4, -2/805, 2?
2
What is the closest to -1 in -1/41, -0.3, -0.4, 29052?
-0.4
What is the nearest to 1 in 3/7, 4/5, -6, 1/897, -5?
4/5
What is the nearest to -2.3 in 4/5, 2/13, -1, 14?
-1
Which is the nearest to 0? (a) -4 (b) 2 (c) -0.6 (d) 5/4 (e) -2/11
e
Which is the nearest to -1/4? (a) -16 (b) -1/2 (c) 9 (d) -0.1 (e) -14
d
What is the closest to 1 in -1/3, -43696, -5, -2?
-1/3
What is the closest to -7 in -1, -2/179, -0.3?
-1
What is the nearest to 0 in 0.4, 47, 5, 21?
0.4
Which is the closest to 74? (a) 0.4 (b) 7 (c) -2/7 (d) -4/3 (e) -2
b
Which is the nearest to -5? (a) 0.8 (b) 1/138 (c) 0.4
b
Which is the closest to 1/8? (a) -1 (b) -43 (c) -2/7 (d) 10.31 (e) 0
e
What is the nearest to 2/5 in -69, 5/6, -0.05?
5/6
What is the nearest to 1 in -7, 0.09, 0.3?
0.3
What is the nearest to 2 in -1, -0.1, -1/28, 1/6?
1/6
What is the closest to -6 in -0.5, 2, -4, -9/20, -2/11?
-4
What is the nearest to -17 in -4, -1, 29/88?
-4
What is the closest to 39 in 5, -1/3, 1, 3, 36?
36
What is the nearest to -2/3 in 5, 0.4, 2, -20.21?
0.4
Which is the closest to 0? (a) 0.7 (b) 2 (c) -86 (d) 0.1
d
Which is the closest to -0.1? (a) 3 (b) -4/3 (c) -2/679389
c
What is the closest to -6 in 12, 16, 3/61, -3, -0.4?
-3
Which is the nearest to 0.1? (a) -6889 (b) 0.5 (c) -4
b
What is the nearest to -24758 in -0.03, -5, 1/6, 3?
-5
What is the nearest to 1/3 in -1/3, -0.3, 4/3, 2, 51?
-0.3
What is the closest to 4/9 in 1/3, -260, 6.7?
1/3
Which is the nearest to 0? (a) 5 (b) 21591 (c) 4
c
Which is the nearest to -11? (a) -5 (b) -0.026 (c) -4
a
What is the nearest to -3/2 in -0.11, -4, -24, 1.2?
-0.11
What is the nearest to 12 in 19, 1, -2/13, -3, 1/19?
19
Which is the closest to 0? (a) -6 (b) -19 (c) 2/9 (d) -8/7
c
Which is the closest to 0.1? (a) -4024 (b) -5/18 (c) -4
b
What is the closest to 1/4 in 2/3, -1, -1/2, 1/3, -2?
1/3
Which is the nearest to 0? (a) -1/8 (b) 0 (c) -526
b
Which is the nearest to 619? (a) -0.4 (b) -2/15 (c) -0.1 (d) 7
d
What is the nearest to 2/5 in -2, -80, 0.577, 0.11?
0.577
What is the closest to 2 in 41, -5, -3, -4?
-3
What is the closest to 1 in -0.0383, 13/6, 2, -2/5?
2
Which is the closest to 8? (a) 8 (b) 1/4 (c) 63 (d) -4 (e) -2
a
What is the closest to -1/36 in -1/9, 137, 8/5, -1?
-1/9
Which is the closest to -37? (a) -5/3 (b) -2 (c) 0 (d) 0.05
b
What is the nearest to 2/7 in -3/11, 4, 8, 1, 6?
-3/11
What is the nearest to 14 in 18/5, 0.5, -4?
18/5
What is the closest to -1/5 in 84/17, -6, 0.2?
0.2
Which is the nearest to -0.1? (a) 3/7 (b) 0.6 (c) -3 (d) 0.049 (e) 0.13
d
Which is the nearest to -2? (a) 2/3 (b) 7/8 (c) 1/10
c
Which is the closest to -9/5? (a) 0.4 (b) 20/17 (c) 33
a
What is the closest to -6 in 0.05, 1/43, 1/2, 9, -0.2?
-0.2
Which is the nearest to -2/7? (a) 40 (b) 6 (c) -7 (d) 1 (e) -2
d
Which is the closest to 0.1? (a) 1/11 (b) -1 (c) 367 (d) 3/4
a
Which is the nearest to 2? (a) -5 (b) -4.36 (c) -1/2 (d) -0.4 (e) -3
d
Which is the closest to -0.5? (a) -2/7 (b) 720 (c) -38 (d) 2
a
Which is the nearest to -3? (a) -5 (b) -7959 (c) -21
a
Which is the closest to -41? (a) -11 (b) -0.4 (c) 3/5
a
Which is the closest to -0.2? (a) 5 (b) -11/3 (c) -0.1 (d) -0.5
c
Which is the nearest to -4? (a) -0.25 (b) -2 (c) 2 (d) 0.09
b
Which is the nearest to 37? (a) -2/11 (b) 4 (c) 0.2 (d) -4
b
Which is the nearest to -1/7? (a) 1 (b) 4 (c) 0 (d) 0.4 (e) 263
c
What is the closest to -1 in -0.4, -35, 2, 0.1?
-0.4
Which is the nearest to 3? (a) -103/4 (b) -2/33 (c) 18/7
c
What is the closest to 0.03 in 3157, -3/5, -0.5, 0.1?
0.1
Which is the nearest to -8/7? (a) -2/9 (b) 1 (c) 0 (d) 0.1
a
What is the nearest to -2 in -0.5, -2/9, 1, -1402, 3/4?
-0.5
What is the closest to 5 in 64, 40, -3, 5/3?
5/3
Which is the closest to 0? (a) 5 (b) 0 (c) 0.3 (d) -3717 (e) -0.4
b
What is the nearest to -25 in 2/15, -728, -1?
-1
Which is the closest to -24? (a) -2/5 (b) -4 (c) -1/7 (d) -152
b
What is the nearest to -143 in -4, 1, -2, 7?
-4
Which is the closest to 1? (a) 2/25 (b) 4111 (c) 0.3
c
What is the closest to -1362 in 0, 1/10, -4, 1?
-4
What is the closest to 9 in 23, 0, 14/11?
14/11
Which is the closest to 1/3? (a) -149 (b) -4 (c) 1 (d) 0.6
d
What is the closest to -0.04 in 4/43, 354, -3?
4/43
Which is the closest to 3? (a) 2 (b) 1/4 (c) 194 (d) 132
a
What is the nearest to -25 in 7, 0.4, -3/952?
-3/952
What is the closest to -1 in 0.4, -0.05, 38, -0.7?
-0.7
Which is the closest to -1? (a) 0 (b) 2 (c) -2105 (d) 3
a
Which is the closest to 1.1? (a) 417 (b) 3 (c) 2 (d) 0 (e) -4
c
What is the closest to 3/46 in 5, -5/6, 1/44, -1/4?
1/44
Which is the closest to 0.015? (a) -1 (b) 2/7 (c) -93/5 (d) 5 (e) -6
b
What is the closest to -2/7 in -0.08, 9, -2, 1?
-0.08
Which is the nearest to -34? (a) 10 (b) -2/3 (c) -11 (d) 1 (e) 2/7
c
Which is the nearest to 0.1? (a) 11869 (b) -2/13 (c) -1 (d) -5
b
Which is the nearest to -2/5? (a) 1 (b) 58/147 (c) 1/2
b
Which is the closest to 1/19? (a) 2/7 (b) -0.039 (c) 2 (d) 3
b
What is the nearest to -334 in -3, -0.077, -1/8?
-3
What is the closest to 0.02 in -3, -4/9, 1, 20?
-4/9
Which is the nearest to -1? (a) -1 (b) 1045715 (c) -5/4
a
What is the closest to -4/11 in 5, -29, 0.24?
0.24
What is the nearest to -11 | {
"pile_set_name": "DM Mathematics"
} |
hat is l rounded to five decimal places?
0.00003
Let u = -1.4 - -0.44. Let b = u - -0.960082. What is b rounded to five decimal places?
0.00008
Suppose 3*y - t - 39763138 = 0, -y + 3*y - 26508757 = -t. Suppose -g - b = 10800003, -4*b - 19145633 = 3*g + y. What is g rounded to the nearest one million?
-11000000
Let x be 2/(-7) + (894636/(-21))/(-6). What is x rounded to the nearest 1000?
7000
Let y = 1284.9214 + -1284. Let b = y - 0.9. Round b to three decimal places.
0.021
Let r(y) = y**3 - 7*y**2 + 5. Let g be r(7). Let j = 9 - g. Suppose -4*o = j*u + 61 - 108065, 108003 = 4*o + 3*u. What is o rounded to the nearest ten thousand?
30000
Let c = -0.0646 - 129.1354. Let p = c - -108. Let l = p + 43. Round l to 0 decimal places.
22
Suppose -3*x + 5*q + 20 = 0, q = 3*x - q - 8. Suppose 0 = -x*w - 5*w - 3500000. What is w rounded to the nearest 1000000?
-1000000
Let a = 0.14 + -0.382. Let y = -148.151 + 148. Let w = a - y. Round w to two dps.
-0.09
Let v = -2.74 + 1.27. Let f = v + -18.43. Round f to zero decimal places.
-20
Let x = 1.5253 - 46.7221. Let v = x + 52.2. Let k = v - 7. Round k to three dps.
0.003
Let c = -1.12000069 + 1.12. What is c rounded to seven dps?
-0.0000007
Let l = -46.512 + 63.54. Let w = l + -17. Let d = 0.02699 - w. What is d rounded to four dps?
-0.001
Let l = -1.0999887 - -1.1. Round l to six dps.
0.000011
Let p = -5 + 5.4. Let r = 0.5 - p. Let c = r - 0.114. What is c rounded to 2 decimal places?
-0.01
Let b be (3 - 0)*(1280/(-12) + -2). Round b to the nearest ten.
-330
Let g = -0.06 + 0.01. Round g to one dp.
-0.1
Let g = -4.9984 + 5. Round g to three dps.
0.002
Suppose 0 = 2*y + 2*h - 6, 0 = y + 3*h - 2 + 3. Suppose -3*m = y*d + 1235, m + d + 3*d = -400. Round m to the nearest 100.
-400
Let q(o) = 2*o - 9 + 0*o + 4*o - 16*o**2 - o**3. Let s be q(-9). Round s to the nearest 100.
-600
Let m = 147.49 + -144. Let l = 2.9 - m. Round l to one dp.
-0.6
Let p = -401 + 99. Round p to the nearest ten.
-300
Let v = -3 - -5. Suppose -o = -6*o - 3*c - 270012, 0 = -3*o + v*c - 161992. What is o rounded to the nearest ten thousand?
-50000
Let k be (1802 - 2)/(3/20). What is k rounded to the nearest 10000?
10000
Let k = -24581 - -24643.303. Let y = 59.59 - k. Let l = 2.7 + y. Round l to 2 dps.
-0.01
Let h(o) = o**2 + o + 8. Let n be h(-6). Suppose 0 = 2*b + d - 24, -b = -4*b - 2*d + n. Let v be 8/b*(-855)/(-6). What is v rounded to the nearest ten?
110
Let x = -4090796 + 190796. Round x to the nearest one hundred thousand.
-3900000
Let q(v) = -12*v**2 + 8*v - 1. Let n(x) = 4*x**2 - 3*x. Let u(r) = 11*n(r) + 4*q(r). Let w be u(-3). What is w rounded to the nearest ten?
-40
Suppose 0 - 5 = -f. Let l be 760003 - (f - 2/1). Round l to the nearest one hundred thousand.
800000
Let j be ((-4)/10)/((-2)/10). Suppose 2*t - j*m - 20452 = -1160460, -2*t - 3*m - 1139988 = 0. What is t rounded to the nearest 100000?
-600000
Let b = -3.7 - -3.03. Let g = b - -0.38. What is g rounded to 1 dp?
-0.3
Suppose 7139 = -g - 10861. What is g rounded to the nearest 10000?
-20000
Let a = 16 + -17.3. Let g = a + 1.2989. Round g to four decimal places.
-0.0011
Let z = -0.9 - 3.1. Let o = z - -3.99999996. What is o rounded to 7 dps?
0
Let r = 7193 + 7. Suppose -4*w - r = -6*w. What is w rounded to the nearest 1000?
4000
Let z = -32994.1213 + -6.8787. Let r = z - -32962.9932. Let q = -38 - r. Round q to three decimal places.
0.007
Let w = -990257 - -1670257. What is w rounded to the nearest one hundred thousand?
700000
Let y = 2134.7003 - 2134. Let j = 0.7 - y. Round j to three decimal places.
0
Let c = 306.9928 + -306. Let d = 0 + 1. Let g = c - d. Round g to three dps.
-0.007
Let d be ((-18)/21)/(3 - (-3112)/(-1036)). Round d to the nearest 10.
220
Let w = 340102 - 603894. Let i = 168792 + w. What is i rounded to the nearest 10000?
-100000
Let o = 5 - 4. Let t = -0.992 + o. Round t to 2 dps.
0.01
Let d = -3 + 3. Let t = d + -0.00000071. Round t to seven dps.
-0.0000007
Let u = -801 - -710.6. Let i = -83 + -17. Let x = u - i. Round x to zero dps.
10
Let x = -683 - -410. Let z = 271.53 + x. Let s = z + 1.4769. What is s rounded to three decimal places?
0.007
Let q = 13.948 - 14. What is q rounded to 2 decimal places?
-0.05
Let o = -0.01973 - -0.0167. What is o rounded to four decimal places?
-0.003
Let v = -1.25 - 1. Let b = v - -3.1. What is b rounded to 1 dp?
0.9
Let k be (-4005)/9*200/(-1). What is k rounded to the nearest ten thousand?
90000
Let h(y) = -2999*y + 4. Let t be h(-4). What is t rounded to the nearest ten thousand?
10000
Let x = 146 + -145.554. Let o = 0.53 - x. What is o rounded to two decimal places?
0.08
Let q = -0.24 - -0.47. Let y = q - -0.25. Let x = y - 0.48000062. What is x rounded to 7 decimal places?
-0.0000006
Let i = 967985008.89999967 - 967984959.9. Let z = i + -49. Round z to seven decimal places.
-0.0000003
Let s be 2/(-1)*(-1 - 0). Let f(l) = -4*l - 4 - s*l + 4*l - l**2. Let n be f(-3). What is n rounded to the nearest 10?
-10
Let g be 6 + 4/(-2) + 1. Suppose 3*p = -p + 2*n - 71990, 0 = g*p + 4*n + 90020. What is p rounded to the nearest 10000?
-20000
Let m = -348.1 - -329. Let t = -22 - m. Let q = t - -2.9000082. What is q rounded to 6 decimal places?
0.000008
Let y = 395 - 620. Let m = -241.7 - y. What is m rounded to zero decimal places?
-17
Let p(l) = 133673*l + 62317*l - 41488*l + 20498*l. Let w be p(-8). What is w rounded to the nearest 1000000?
-1000000
Let y(w) = 123652*w**2 - 2*w + 3. Let p be y(-10). Let t = p + -6465223. Round t to the nearest 1000000.
6000000
Let z = 2018623315 - 2018623185.9999937. Let v = z - 129. What is v rounded to 6 dps?
0.000006
Let s = -73 - -73.0106. What is s rounded to three decimal places?
0.011
Let f be (-2 + 2)*2/6. Suppose f = -4*q + 258 + 26. What is q rounded to the nearest 10?
70
Let v = -0.007 - 23.993. Let l = v - -23.99999978. What is l rounded to seven dps?
-0.0000002
Let t = -8597 + 8592.281. Let n = 0.019 + t. What is n rounded to the nearest integer?
-5
Let n = -1.2 - -1.088. Let a = n - -1.082. What is a rounded to one decimal place?
1
Let i = 2 + 1. Suppose -4*r = -2*j + 1691 + 1405, i*r = 4*j - 6197. Round j to the nearest 100.
1600
Suppose -798 = -m - j, -j - 417 - 385 = -m. What is m rounded to the nearest 100?
800
Let l = -0.38 - -0.3. Let g = 0.02 - l. Let x = 0.4 + g. What is x rounded to one decimal place?
0.5
Let w = 2.339634 - 2.34. Round w to 5 decimal places.
-0.00037
Let r be 7/(7/(-3200))*-4. What is r rounded to the nearest one thousand?
13000
Let r = 15 + -15. Suppose r = 2*h + 1290 - 5570. What is h rounded to the nearest one hundred?
2100
Let r = -327708.32 + 327665.4759638. Let w = r - 0.1573838. Let g = w - -43. Round g to four decimal places.
-0.0014
Let m = 0.074 + -0.074178. What is m rounded to 5 decimal places?
-0.00018
Suppose g = -2*f - 4 + 11, -5*g - 25 = 0. Let d be f + (-12)/3 + 2. Suppose -17600 = -d*b - 0*b. Round b to the nearest one thousand.
4000
Let m = 0.60057 - 0.6. Round m to four dps.
0.0006
Let v = 16.87 - -0.13. Let d = 16.99974 - v. What is d rounded to 4 dps?
-0.0003
Let r = -5.441 - -0.041. What is r rounded to 0 decimal places?
-5
Let b = 4.35 + -5.894. Let n = -1.7 - -0.1. Let j = b - n. What is j rounded to two decimal places?
0.06
Let m = 165 - 165.0000077. Round m to 6 decimal places.
-0.000008
Let i = -0.58 + 0.5799939. Round i to 5 dps.
-0.00001
Let p = 129.29 + -0.29. Let m = 5768 - 5896.23. Let i = m + p. What is i rounded to one dp?
0.8
Let y = -0.284885 + -0.515151. Let x = 3.1 - 3.9. Let r = x - y. Round r to five dps.
0.00004
Suppose -3*r + 2*j + 5570 = -r, 4*j - 5600 = -2*r. Round r to the nearest one hundred.
2800
Let y = -36.0019 - -36. Round y to 3 decimal places.
-0.002
Suppose 3*s - 4*r - 74 = 0, 3*s - 2*r = 16 + 48. Let q be 6/(-27) - (-364)/s. What is q rounded to the nearest ten?
20
Let k = 10023.13179 - -14.83821. Let p = 10006.97052 - k. Let i = 31 + p. What is i rounded to 4 dps?
0.0005
Suppose 4*m + x = -x - 2248, 4*x = -5*m - 2816. Round m to the nearest 10.
-560
Suppose 2*g - 6 = 14. Let x be (-300000004)/(-20) + (-2)/g. What is x rounded to the nearest one million?
15000000
Let a = -18.223 - -18. What is a rounded to two decimal places?
-0.22
Suppose 0*p = j + 5*p + 369495, 5*j + 1847421 = 2*p. Let | {
"pile_set_name": "DM Mathematics"
} |
d(i) - 2*g(i). Let y(s) = s. Suppose t - 4 = 3*x, 5*t + x - 40 = -4. Calculate t*y(j) - 6*n(j).
j - 6
Let i(b) = -b**2 - b - 1. Let t(h) be the second derivative of -3*h**5/20 - h**4/4 - h**3/6 - 3*h**2/2 + 1850*h. Let x = -3 - -2. Calculate x*t(d) + 3*i(d).
3*d**3 - 2*d
Let p(g) = -g**2 + g + 47. Let q(l) = 1. Let u(n) = -9*n**2 + 156*n - 191. Let r be u(16). What is r*p(t) - q(t)?
-t**2 + t + 46
Let l = -20017 - -20013. Let n(h) = 15*h**2 + 7*h. Let q(v) be the third derivative of 7*v**5/60 + v**4/6 - 3*v**2. Calculate l*n(k) + 7*q(k).
-11*k**2
Let j(b) = -6368*b**3 - 3*b**2 + 6*b + 9. Let g(l) = 82785*l**3 + 40*l**2 - 80*l - 120. Determine 3*g(q) + 40*j(q).
-6365*q**3
Let t(s) = -48*s - 144. Let j(r) = 50*r + 183. Determine -3*j(m) - 4*t(m).
42*m + 27
Let t(a) = 11*a**3 - 8*a**2 + a. Suppose 13 = -h + 18. Let i(c) = -99028*c**3 + 3*c - 4*c + 99021*c**3 + 5*c**2. Determine h*t(k) + 8*i(k).
-k**3 - 3*k
Let r(y) = 2*y**3 + 12*y + 12. Let b = -116 - -120. Let m(s) = -s + 0 + 3 - b + 0. What is -10*m(v) - r(v)?
-2*v**3 - 2*v - 2
Let n(r) = 5*r. Suppose 51*c = 33*c - 108. Let g(d) = 7*d + 10*d - 22*d. Give c*g(k) - 7*n(k).
-5*k
Let y(d) = 258*d - 1. Let j(n) = 257*n - 2. What is -4*j(l) + 5*y(l)?
262*l + 3
Let k = -55 - -62. Let p be ((-6)/9)/(((-7)/6)/k). Let g(s) = 0*s + 0 - p + 0 - 2*s. Let n(o) = -o - 2. Give 6*g(b) - 11*n(b).
-b - 2
Let w(v) = -24*v + 385. Let p(s) = -13*s + 214. Let t(n) = -9*p(n) + 5*w(n). Let g(l) = -l. What is 4*g(q) + t(q)?
-7*q - 1
Let z(i) = i**2 - 4*i - 8. Let p(d) = -2*d**2 + 5*d + 9. Let o be ((-8)/3)/((-2)/3). Suppose 12*j - 5 = 17*j, 2*n + j = 5. Determine n*p(k) + o*z(k).
-2*k**2 - k - 5
Let a(o) = 6*o**2 + o - 6. Suppose 5*l + 2 = -5*p + 8*p, -3*l = 4*p + 7. Let k(q) = -q**2 - q + 1. Calculate l*a(f) - 4*k(f).
-2*f**2 + 3*f + 2
Let h(j) = -6*j**2 - 4 - 235*j - 104*j + 584*j - 240*j. Let z(o) = 7*o**2 - 6*o + 5. Let w = 0 + -5. What is w*z(x) - 6*h(x)?
x**2 - 1
Let x = -65 + 66. Let l(q) = -5*q + 18*q - 4*q - 2*q - 6*q. Let f(v) = 2*v - 2. Calculate x*f(m) + l(m).
3*m - 2
Let n(o) = o**2 - o - 1. Let i(x) = -x**2 - 7*x + 2. Let m = 3857 + -3856. Calculate m*i(y) + 2*n(y).
y**2 - 9*y
Suppose -10*a - 5 = -3*n, -41*n + 40*n = 2*a + 9. Let q(b) = -2*b + 3. Let z(w) be the first derivative of 2*w**2 - 7*w + 2. Calculate a*z(h) - 5*q(h).
2*h - 1
Let s(b) = -b**2 - b - 1. Let d(o) be the third derivative of o**5/6 + 5*o**4/12 + 4*o**3/3 - 21*o**2 + 2*o + 2. What is -2*d(k) - 18*s(k)?
-2*k**2 - 2*k + 2
Let r(o) = -11*o - 3. Let u(d) = -15*d + 61*d - 11*d - 20*d + 3 - 3*d. Calculate -7*r(m) - 6*u(m).
5*m + 3
Let h = -1099 - -1101. Let w(c) = c - 9. Let y(l) = 3*l - 26. Calculate h*y(n) - 7*w(n).
-n + 11
Let q(r) be the third derivative of -r**6/120 + 176*r**2. Let d be (-3)/9 - (-10)/3. Let w(z) = 2*z + z**d + z - z. Calculate 2*q(a) + w(a).
-a**3 + 2*a
Let b(r) = -2*r**2 - 9*r + 9. Let y(u) = u**2 + 5*u - 4. Let j = -3666 + 3663. Give j*b(o) - 5*y(o).
o**2 + 2*o - 7
Let x(d) = -4*d**2 + 7. Let k = 3 - -2. Let f(w) = -24*w**2 + 15*w - 2. Let h(b) = -14*b**2 + 9*b - 2. Let s(z) = 3*f(z) - 5*h(z). Calculate k*s(n) - 3*x(n).
2*n**2 - 1
Let r(i) = 2*i**3 + 4*i**2 - 18*i + 1. Let y(s) = 2*s**3 + 4*s**2 - 19*s + 1. Determine 15*r(l) - 14*y(l).
2*l**3 + 4*l**2 - 4*l + 1
Let c(y) = -4*y**3 - 8*y**2 - y + 5. Let x(s) = s**3 + s**2 - 1. Let u be 4*20/16 + 4. Let g be (-6)/((-324)/6)*u. Determine g*c(f) + 5*x(f).
f**3 - 3*f**2 - f
Let c(j) = j**2 + 6*j + 56. Let q(w) = -w + 1. What is -c(n) - 6*q(n)?
-n**2 - 62
Let f(i) = i - 4 - 5*i + 0. Let d(t) be the first derivative of t + 1/2*t**2 - 212. Give -10*d(u) - 2*f(u).
-2*u - 2
Suppose -3*p + 4*q - 42 = 0, 0 = 4*p - 7*p + q - 24. Let i(a) = -2*a**3 - 5*a**2 + 5*a - 7. Let r(g) = -2*g**3 - 6*g**2 + 6*g - 8. Calculate p*i(z) + 5*r(z).
2*z**3 + 2
Let j(a) = 1569*a - 90. Let r(f) = -299*f + 18. Determine -4*j(g) - 21*r(g).
3*g - 18
Let c(o) = o - 3. Let z be -6 + 162/(-15) + 4/(-20). Let i(j) = -3*j + 8. Let f = 4 - 1. Let d be -2 - (-3 + f) - 4. What is d*i(a) + z*c(a)?
a + 3
Let t(z) be the second derivative of -z**4/4 - z. Let g(u) be the first derivative of u**3 + 28. What is -4*g(v) - 5*t(v)?
3*v**2
Let v(j) = 10*j + 1. Suppose h + 3*h - 21*h = -85. Let z(p) = -11*p. What is h*v(d) + 4*z(d)?
6*d + 5
Let d(y) = -y**2 - y. Let c(h) = -2*h**3 - 2*h**2 - 2*h. Let a be (-580)/150 - 30/225. Determine a*d(g) + 2*c(g).
-4*g**3
Let g(n) = 5*n**2 + 6*n. Let y(d) = 4*d**2 + 5*d. Let w be 35/(-15) + 28/84. Let r be (0/(-2))/(3 + -4). Let f be 1/((-3)/(-9) - r). Determine f*y(v) + w*g(v).
2*v**2 + 3*v
Let s(m) = 1548*m. Let f(k) = 17*k. What is -22*f(b) - 2*s(b)?
-3470*b
Let o be (2 + 2)/((-4)/4). Let y(g) = 40*g - 26. Let j(z) = -58*z + 37. Let x(u) = 11*j(u) + 16*y(u). Let v(t) = -t + 9. What is o*v(k) - 3*x(k)?
-2*k - 9
Let i be (-2)/3 - 14/6. Let g = i - -6. Let b(v) = 3*v + 3. Let t(m) be the third derivative of m**4/8 + m**3/3 - 2179*m**2. Give g*t(j) - 2*b(j).
3*j
Let l(a) = 2*a - 27. Let g(m) = -m**2 + 4*m - 57. Determine -3*g(t) + 5*l(t).
3*t**2 - 2*t + 36
Let v(p) = p**2 - 4*p - 6. Let t(i) = -2*i**2 - 3. Let w(k) = 13*k**2 + 12*k + 41. Let x(y) = 8*t(y) + w(y). What is -11*v(m) - 4*x(m)?
m**2 - 4*m - 2
Let z(m) = 5*m**2 - 4*m - 4. Let l(r) = -5*r - 215. Let t be l(-43). Suppose t = -7*v - 13 + 48. Let p(y) = -9*y**2 + 8*y + 7. Calculate v*z(u) + 3*p(u).
-2*u**2 + 4*u + 1
Let i(j) = -j**3 - 16*j**2 - 6*j + 6. Let n(f) be the second derivative of f**4/12 + f**3/6 - f**2/2 - 3*f - 15. What is i(t) + 6*n(t)?
-t**3 - 10*t**2
Suppose 162*s + 1143 = 95*s + 448*s. Let y(o) = 6*o**2 - 3*o - 3. Let z(t) = 2*t**2 - t - 1. What is s*y(r) - 8*z(r)?
2*r**2 - r - 1
Let w(j) = -368*j**2 + 0*j**3 + j**3 + 375*j**2 + 7. Suppose 6 = 3*l - a - 8, a = -l + 10. Let q(k) = -4*k**2 - 5 + l*k**2 + 7. Give 7*q(r) - 2*w(r).
-2*r**3
Let t(g) = -6*g**2 + g - 3. Let s(p) = -6*p**2 + p - 2. Let m = 493 + -360. Let l = m - 130. What is l*s(d) - 2*t(d)?
-6*d**2 + d
Let m(j) = 5*j**2 + 2*j + 2. Let y be (0 - -65)/(7/(0 - -35)). Let n = y + -323. Let l(b) = 9*b**2 + 5*b + 5. Calculate n*l(s) - 5*m(s).
-7*s**2
Let c(l) = 18*l - 4. Let p(w) = 1195*w - 11. What is 4*c(q) - p(q)?
-1123*q - 5
Let j(p) = -19*p. Let b(o) = 2*o**2 - 21*o + 29. Let v be b(9). Let s(w) = 171*w. Give v*s(y) + 19*j(y).
-19*y
Let u(w) = 5*w**2 - w - 1. Let p(k) = 16*k**2 + 140*k. Calculate -p(d) + 3*u(d).
-d**2 - 143*d - 3
Let f(z) = 7*z + 488 + 489 - 1470 + 481. Let m(b) = b - 1. What is -f(a) + 3*m(a)?
-4*a + 9
Let c(s) = 6*s**2 + 7*s + 3. Let m be (2/3 - (-156)/(-18)) + 2 + 1. Let h(t) = 7*t**2 + 6*t + 4. Give m*c(g) + 4*h(g).
-2*g**2 - 11*g + 1
Let a(i) = -95*i**3 + 29*i**2 - 14. Let y(h) = -47*h**3 + 16*h**2 - 8. What is 3*a(b) - 5*y(b)?
-50*b**3 + 7*b**2 - 2
Let h(p) = -12*p - 7. Let n(b) be the third derivative of -b**4/6 - b**3/3 - b**2 - 2. What is -6*h(v) + 21*n(v)?
-12*v
Let u(p) = -1. Let x(k) = -k**2 + 2. Let s = -4936 - -4939. Calculate s*x(r) + 2*u(r).
-3*r**2 + 4
Let z = 1 - -2. Let v(m) = -m - m + z*m. Let q = 3856 + -3857. Let t(n) = 9*n. Calculate q*t(w) + 12*v(w).
3*w
Let j(t) = 4*t**3 + 3*t**2 - 10*t + 9. Let r(m) = 13*m**3 + 8*m**2 - 27*m + 24. Determine -8*j(b) + 3*r(b).
7*b**3 - b
Let v(f) = -5*f**3 - 3. Let d(p) = -p**3 - 1. Let z be (4/1 - 3)*0. Suppose z = -13*x + 6*x - 7. Calculate x*v(o) + 3*d(o).
2*o**3
Let z be ((-68)/102)/((-5)/(-30)). Let c(a) = 1. Let n(h) = -h - 7. Calculate z*c(g) - n(g).
g + 3
Let k(v) = v**2 - 3*v - 3. Suppose -11*o - 336 = -5*o. Let f(l) be the second derivative of -2*l**4/3 + 14*l**3/3 + 14*l**2 - 1020*l. Calculate o*k(j) - 6*f(j).
-8*j**2
Let d(m) = -32*m + 198. Let k(q) = -3*q - 3. Calculate -2*d(o) + 22*k(o).
-2*o - 462
Suppose 27 + 43 = -50*l - 80. Let c(h) = 6*h**2 + 2*h + 2. Let f(z) = -z**2. What is l*f(x) + c(x)?
9*x**2 + 2*x + 2
Let s(p) be the third derivative of -p**6/30 + p**5/6 + p**4/8 - 5*p**3/6 - 19*p**2 - 232. Let f(q) = 2*q**3 - 5*q**2 - 2*q + 3. Give 5*f(l) + 3*s(l).
-2*l**3 + 5*l**2 - l
Let a(q) = 46*q**3 + 4*q. Let v = 463 - 456. Let u(m) = -15*m**3 - m. Give v*u(s) + 2*a(s).
-13*s**3 + s
Let x(o) = o**3 - o**2 - o - 5. Let h(i) = -8*i**3 + 6*i**2 - 27*i - 7. Determine h(k) + 6*x(k).
-2*k**3 - 33*k - 37
Let t(o) = -60*o. Let v(b) = -33*b + 36. Let d(q) = 6*q - 6. Let | {
"pile_set_name": "DM Mathematics"
} |
olve 0 = -798*g - 81213 + 133083 for g.
65
Solve -6593*n = 253*n + 3431*n + 92493 for n.
-9
Solve -8903*z - 79082 = -1117*z - 155*z + 27752 for z.
-14
Solve 897*a = 41480 - 100682 for a.
-66
Solve 371*a = -171*a - 1938*a - 742*a + 170766 for a.
53
Solve -3646*h - 43805 = 72867 for h.
-32
Solve -629*v + 12365 + 3428 + 11254 = 0 for v.
43
Solve -163*p - 2968 = -1824*p + 36896 for p.
24
Solve -732*f = -5040*f - 12924 for f.
-3
Solve 12986 = 911*d - 17935 - 7341 for d.
42
Solve -882 = 48*c + 314 + 196 for c.
-29
Solve 509*m - 149*m - 2718 = 3042 for m.
16
Solve 0 = 13714*t - 8733*t - 124525 for t.
25
Solve 19*c + 18*c + 318*c = -29*c - 8064 for c.
-21
Solve 798*n = 1862 + 18088 for n.
25
Solve 0 = -1552*t + 713*t - 1995*t + 28340 for t.
10
Solve -588336 = -221*t - 594082 for t.
-26
Solve 257*j + 263*j = 60*j + 17940 for j.
39
Solve -516*f - 21630 = -f for f.
-42
Solve -66*z + 12*z + 16*z = 87*z + 1750 for z.
-14
Solve -11164 - 3471 + 3192 = -238*x + 2837 for x.
60
Solve 75*a = -117*a - 16704 for a.
-87
Solve 2510691*q + 826 = 2510632*q for q.
-14
Solve 52 - 55 = 2*n - 113 for n.
55
Solve 472 + 750 = -49*s - 297 for s.
-31
Solve -183 = -415*p + 2981 + 571 for p.
9
Solve 604*k - 287*k = -591*k + 11804 for k.
13
Solve 4321*q - 1554*q - 845*q + 410000 = -3078*q for q.
-82
Solve -40*m = -357 - 403 for m.
19
Solve -1373*c + 202877 + 523320 = 7855*c + 6223*c for c.
47
Solve -23287*d = -23332*d - 855 for d.
-19
Solve -3382188*k = -3382214*k + 208 for k.
8
Solve -282702 = -568*c - 324734 for c.
-74
Solve 798031 = 118*p + 792013 for p.
51
Solve -37440 = 442*a - 532*a + 570*a for a.
-78
Solve 1127366 - 1124748 = 34*s for s.
77
Solve -14014*m = -1479943 + 456921 for m.
73
Solve -24324 - 36942 + 8869 = 2130*x + 9373 for x.
-29
Solve -18487 = 177*m - 8929 for m.
-54
Solve 114*w + 1605 - 5595 = 0 for w.
35
Solve -19*l + 10*l - 563 - 3925 = 59*l for l.
-66
Solve -647069*d - 9799 = -646830*d for d.
-41
Solve 1325*u = -4173 - 15702 for u.
-15
Solve 106*y - 1286 = -3339 - 3989 for y.
-57
Solve 0 = 15088*c + 506346 + 610166 for c.
-74
Solve 256*p = 520*p - 7920 for p.
30
Solve -5564*q + 9009*q = 179140 for q.
52
Solve 193*m - 4300 = 4192 for m.
44
Solve 6712 - 15845 = 332*r - 39*r + 8154 for r.
-59
Solve -21508*s + 2244267 - 335187 = -5599*s for s.
120
Solve 25127*y + 19620 = 24909*y for y.
-90
Solve 1424*b = -84210 + 34370 for b.
-35
Solve -26*x - 58823 + 30020 + 30571 = 0 for x.
68
Solve -12088 = -418*n + 13166 + 3170 for n.
68
Solve 32*l - 9034 + 3624 = -3842 for l.
49
Solve 151*j - 251 = 127*j - 755 for j.
-21
Solve -7851 + 26523 = 1175*i - 15403 for i.
29
Solve 3696*k - 39418 + 122778 + 33472 = -1172*k for k.
-24
Solve 5402 + 2089 + 7965 = 135*k + 49*k for k.
84
Solve -153606 + 146946 = 666*f for f.
-10
Solve 551*v = -28*v - 2895 for v.
-5
Solve 1834*f - 31959 - 291 = 41915 + 13867 for f.
48
Solve 9110*u - 9064*u + 598 = 0 for u.
-13
Solve 0 = 2073*r + 8178 - 28908 for r.
10
Solve -6*q = 4*q + 5*q - 750 for q.
50
Solve 2071*r = -2691*r + 116890 - 654996 for r.
-113
Solve -1027*x + 11024 = -61893 for x.
71
Solve 56028*m - 28030*m + 1050 = 28019*m for m.
50
Solve 872*j = -5161*j - 534705 - 128925 for j.
-110
Solve 5*t - 284394 = -284389 for t.
1
Solve -276*f - 132*f - 434 - 1198 = 0 for f.
-4
Solve 0 = 72*c - 154*c - 19519 + 9351 for c.
-124
Solve -7*w - 10*w - w = -720 for w.
40
Solve 8818*w - 544 = 8546*w for w.
2
Solve 0 = -17425*y + 8709*y + 8611*y + 15645 for y.
149
Solve 3249 = -157*k + 696 - 226 - 3030 for k.
-37
Solve 1544769*a = 1544917*a - 12284 for a.
83
Solve -7529*x - 1943*x + 788164 - 414234 = -772182 for x.
121
Solve 1656*y + 3508*y = 407956 for y.
79
Solve -3811*l - 5464 = -497*l - 28800 - 3176 for l.
8
Solve 0 = -117*d - 49*d + 50*d - 90*d + 2472 for d.
12
Solve -258*b + 38*b - 1261 + 21061 = 0 for b.
90
Solve 0 = -72*r + 4275 - 1971 for r.
32
Solve 44*j + 42*j + 22*j - 1117 = -37 for j.
10
Solve 104011 + 20837 = 867*u for u.
144
Solve 169*q - 721 = 919 - 712 + 593 for q.
9
Solve 20178 - 1719 + 29376 = 2457*o - 82386 for o.
53
Solve -11922 - 24302 + 4078 = 461*m + 3812 for m.
-78
Solve -986*a + 11261 + 15183 + 6094 = 0 for a.
33
Solve 1818*j - 60240 = 134*j - 22463 + 51475 for j.
53
Solve 60788 + 87000 = -3890*d - 38932 for d.
-48
Solve -1106*q + 2320*q - 124640 = -1996*q + 231670 for q.
111
Solve -36312 - 3062 - 58834 = 1488*z for z.
-66
Solve -207*i - 73*i = -304*i + 232*i + 8944 for i.
-43
Solve 21*b - 16*b = 116*b - 95 + 1427 for b.
-12
Solve -53*q + 26*q = -23*q - 120 for q.
30
Solve 65*m - 90*m - 6528 = 167*m for m.
-34
Solve -3238*x = -1027*x - 33165 for x.
15
Solve 23229*r + 597 + 40288 = 22748*r for r.
-85
Solve 16*t - 14*t + 20 + 26 = -44*t for t.
-1
Solve -209*u - 890 + 1739 = -3743 - 215 for u.
23
Solve -125787 + 4099 = 1209*q + 964*q for q.
-56
Solve -2141*z = -6538 - 102892 - 51145 for z.
75
Solve -204*y - 1272 + 1722 = -3222 for y.
18
Solve 135*x + 1961 + 2535 = -146*x for x.
-16
Solve -8211*j + 15631*j = 682640 for j.
92
Solve 1353 + 843 = -359*q + 115*q for q.
-9
Solve -376*t + 118 + 14 = -757*t + 384*t for t.
44
Solve 40548 - 7868 = 760*n for n.
43
Solve 12138 = 10765*r - 553903 + 70851 for r.
46
Solve -312*b = 35*b + 301*b - 162*b for b.
0
Solve -16729 + 90313 = 2628*y for y.
28
Solve 7664*k + 7645*k - 15332*k - 552 = 0 for k.
-24
Solve -7384*p = -7636*p - 13356 for p.
-53
Solve 0 = 29*j + 80*j + 1789 + 500 for j.
-21
Solve 312742 = -313*a + 284885 for a.
-89
Solve -250*i - 1831 + 1998 = -8583 for i.
35
Solve -68*m + 141*m - 13130 = -184*m - 248*m for m.
26
Solve 1503*d + 17293 = -50342 for d.
-45
Solve -115249*l = -115455*l + 7622 for l.
37
Solve 229222 + 29440 + 156989 = -3904*i + 1827 for i.
-106
Solve 38946101*i = 38945761*i - 340 for i.
-1
Solve 3549*t - 2500*t = -7343 for t.
-7
Solve -162721 = 1685*j - 208216 for j.
27
Solve -2473*i - 3271 + 169231 = -425*i + 2562*i for i.
36
Solve -15156 = -1857784*r + 1858205*r for r.
-36
Solve 119*s - 1217 = -27 for s.
10
Solve -1018440 = 3092*t + 22331*t - 5620*t - 107502 for t.
-46
Solve -3260*m - 179515 = 1519*m - 17029 for m.
-34
Solve -226333 = 4553*a + 107453 - 1417 for a.
-73
Solve 618 - 521 = 99*j - 5447 for j.
56
Solve 7119 = 521*a - 2984 + 1246 for a.
17
Solve -847*p + 18731 = 2130*p - 85464 for p.
35
Solve -605*y + 8976 = -5544 for y.
24
Solve 375*u - 24171 - 17521 = -9442 for u.
86
Solve -84*l + 110235 - 114015 = 0 for l.
-45
Solve 2868*t - 8736 = 2556*t for t.
28
Solve 356567*l = 356215*l - 704 for l.
-2
Solve -442*u = -71*u + 536*u - 44443 for u.
49
Solve -2373 = 4418*v + 2045 for v.
-1
Solve -190*t = 1837*t + 1974*t + 90138 + 57899 for t.
-37
Solve -248*b - 643 + 1363 = 3944 for b.
-13
Solve 114*i - 6737 = -6167 for i.
5
Solve -188*d + 3573 + 2461 + 274 = -1588 for d.
42
Solve 35503 + 116377 - 39890 = 4010*b - 116580 for b.
57
Solve -5413824 = -252*w - 5437512 for w.
-94
Solve 251*x + 28496 - 18958 = 0 for x.
-38
Solve 172*k + 108*k - 1384 = 74*k + 7680 for k.
44
Solve 1785 - 188 = 47*y + 79*y + 589 for y.
8
Solve -310*z - 6*z = -145*z + 4995 + 5265 for z.
-60
Solve -172*i - 896*i + 126*i = -36738 for i.
39
Solve 1228 = 450*c - 71*c + 35*c - 9536 for c.
26
Solve 187680 = 25781*a - 23021*a for a.
68
Solve 294*d = -1112*d + 26714 for d.
19
Solve -51*f + 410 + 324 + 108 - 179 = 0 for f.
13
Solve 0 = 211*c - 1478*c + 27874 for c.
22
Solve 0 = -51*z + 792 - 27 for z.
15
Solve -601*b + 1010*b + 572 = 552*b for b.
4
Solve 2058*q + 57*q + 284565 = -1200*q - 1350*q for q.
-61
Solve -60592 = -3030*o + 72728 for o.
44
Solve -15323 + 114964 = -1798*n - 895*n for n.
-37
Solve 2*o = -12*o - 7*o + 17*o - 200 for o.
-50
Solve 1233*i + 719 - 8349 = 1015*i for i.
35
Solve 179154 = -9165*s - 10758*s + 7139*s + 12962 for s.
-13
Solve -552*l = -517*l - 457 - 1153 for l.
46
Solve -4577 + 19380 = 429*q - 8363 for q.
54
Solve 200*k = 72999 - 68199 for k.
24
Solve -8291 = 481*c - 724*c + 1915 for c.
42
Solve 0 = -48731*h + 48782*h - 929 - 652 for h.
31
Solve -107008 = 745*j - 1806*j - 611*j for j.
64
Solve 154697 = 3255*d - 8369*d - 103321 - 192014 for d.
-88
Solve 4*k + 77*k + 1338 = -85*k - 2978 for k.
-26
Solve -156231*z - 557 = -156111*z - 900 + 3103 for z.
-23
Solve -108*b = 39*b - 121*b + 166 - 1362 for b.
46
Solve -39431 = -108*l - 39215 for l.
2
Solve 7176*b = 3253*b + 3078*b + 64220 | {
"pile_set_name": "DM Mathematics"
} |
picking 3 h when three letters picked without replacement from {h: 3, u: 2}.
1/10
Three letters picked without replacement from ikkollyyf. Give prob of picking 1 f, 1 l, and 1 i.
1/42
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from twaqhax.
1/21
What is prob of picking 3 c when three letters picked without replacement from {c: 7, a: 7}?
5/52
What is prob of picking 2 k when two letters picked without replacement from gggkkgk?
1/7
Calculate prob of picking 1 s, 1 l, 1 o, and 1 a when four letters picked without replacement from {o: 4, c: 5, s: 1, b: 2, l: 3, a: 5}.
4/323
Two letters picked without replacement from {m: 3, l: 11}. Give prob of picking 2 l.
55/91
What is prob of picking 1 v and 3 w when four letters picked without replacement from {v: 4, d: 5, w: 5}?
40/1001
Two letters picked without replacement from kepkeee. Give prob of picking 2 k.
1/21
Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bpdd.
1/4
Two letters picked without replacement from yhohyojytho. Give prob of picking 1 j and 1 o.
3/55
Calculate prob of picking 2 g when two letters picked without replacement from cccggccggccgccccccc.
10/171
Four letters picked without replacement from {t: 6, r: 2, h: 5}. Give prob of picking 1 h and 3 t.
20/143
Calculate prob of picking 2 f when two letters picked without replacement from sfqqfrf.
1/7
Four letters picked without replacement from bfhbbhblhbfd. What is prob of picking 1 h, 1 b, and 2 f?
1/33
What is prob of picking 2 r when two letters picked without replacement from prrrrpppup?
2/15
Two letters picked without replacement from {h: 1, n: 1, c: 1}. What is prob of picking 1 h and 1 n?
1/3
What is prob of picking 1 x and 1 f when two letters picked without replacement from {h: 1, d: 2, x: 1, s: 1, j: 1, f: 2}?
1/14
Calculate prob of picking 3 g and 1 m when four letters picked without replacement from gmmmmgggmg.
5/21
What is prob of picking 1 h and 1 o when two letters picked without replacement from {o: 12, h: 3, r: 1}?
3/10
Calculate prob of picking 2 p and 2 r when four letters picked without replacement from prrpp.
3/5
Calculate prob of picking 1 b, 1 r, and 1 e when three letters picked without replacement from qqferfbr.
1/28
Four letters picked without replacement from {c: 5, v: 1, k: 3, r: 3, q: 3}. Give prob of picking 3 q and 1 k.
1/455
Four letters picked without replacement from {g: 4, y: 6, k: 2, e: 3}. Give prob of picking 4 g.
1/1365
Three letters picked without replacement from {u: 3, s: 3}. Give prob of picking 2 u and 1 s.
9/20
Two letters picked without replacement from uxxtxuuvuyxuxuu. Give prob of picking 2 x.
2/21
What is prob of picking 4 q when four letters picked without replacement from {q: 7, g: 4}?
7/66
What is prob of picking 1 c, 1 b, and 1 t when three letters picked without replacement from {t: 1, o: 2, b: 1, c: 7, a: 8, v: 1}?
7/1140
Calculate prob of picking 1 t, 2 u, and 1 e when four letters picked without replacement from upjttuupxutujutuetpp.
7/323
Calculate prob of picking 1 i and 3 l when four letters picked without replacement from lillllillllilili.
165/364
Calculate prob of picking 2 x when two letters picked without replacement from xffxffxxfffxfxfx.
7/40
What is prob of picking 2 g and 1 a when three letters picked without replacement from gwoggagggwawagawag?
35/204
What is prob of picking 1 u and 2 x when three letters picked without replacement from zgzgzubxxgg?
1/165
Three letters picked without replacement from {c: 4, s: 2, d: 1, l: 2}. Give prob of picking 2 s and 1 d.
1/84
Two letters picked without replacement from {d: 11, c: 3}. Give prob of picking 2 d.
55/91
Two letters picked without replacement from wzwawaaawwzlz. What is prob of picking 1 a and 1 z?
2/13
Calculate prob of picking 2 e when two letters picked without replacement from uwzewxxwezzzwgu.
1/105
Two letters picked without replacement from {g: 1, k: 2, c: 1, n: 2}. What is prob of picking 1 n and 1 k?
4/15
Calculate prob of picking 1 k, 1 h, and 1 d when three letters picked without replacement from {h: 2, d: 2, i: 3, v: 1, g: 9, k: 1}.
1/204
Calculate prob of picking 4 c when four letters picked without replacement from {c: 9, u: 11}.
42/1615
Two letters picked without replacement from {c: 4, i: 2, n: 2, j: 3, b: 1, g: 2}. Give prob of picking 1 g and 1 c.
8/91
Three letters picked without replacement from kyzyy. Give prob of picking 3 y.
1/10
What is prob of picking 1 l and 1 t when two letters picked without replacement from {z: 12, e: 2, l: 4, t: 2}?
4/95
Three letters picked without replacement from {f: 1, k: 1, p: 5, z: 1, h: 2}. What is prob of picking 2 k and 1 p?
0
Three letters picked without replacement from knnknonpookopp. What is prob of picking 2 p and 1 k?
9/364
What is prob of picking 3 a when three letters picked without replacement from aaaafaaaaaaaa?
10/13
What is prob of picking 3 z and 1 i when four letters picked without replacement from {v: 3, b: 2, i: 1, m: 1, y: 1, z: 3}?
1/330
Three letters picked without replacement from bvbpqpbvbp. Give prob of picking 1 v, 1 b, and 1 q.
1/15
Two letters picked without replacement from eaegxeege. Give prob of picking 2 g.
1/36
What is prob of picking 2 u and 2 y when four letters picked without replacement from uuuyuuuuuuuyyuuu?
9/70
What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 4, w: 15}?
20/57
What is prob of picking 1 b and 2 f when three letters picked without replacement from {z: 2, b: 7, x: 2, l: 1, y: 3, f: 3}?
7/272
Three letters picked without replacement from {u: 15, x: 3}. What is prob of picking 2 u and 1 x?
105/272
Four letters picked without replacement from {y: 5, r: 12, z: 1}. Give prob of picking 1 r and 3 y.
2/51
Four letters picked without replacement from {w: 6, q: 1, d: 4, l: 2}. What is prob of picking 1 l, 1 q, and 2 d?
12/715
What is prob of picking 1 p, 1 y, and 1 z when three letters picked without replacement from ryzyzydypp?
2/15
Three letters picked without replacement from dfygytg. What is prob of picking 2 y and 1 g?
2/35
Three letters picked without replacement from {j: 4, z: 3, s: 2, l: 1, e: 2}. Give prob of picking 1 e, 1 z, and 1 s.
3/55
Two letters picked without replacement from {c: 1, p: 2, h: 1, j: 2}. What is prob of picking 1 c and 1 j?
2/15
What is prob of picking 1 f and 2 b when three letters picked without replacement from rrfbfbrfffhffbfrrrbr?
4/95
Calculate prob of picking 1 u and 1 k when two letters picked without replacement from uukkwkk.
8/21
Two letters picked without replacement from {b: 5, a: 15}. Give prob of picking 2 b.
1/19
Four letters picked without replacement from {q: 1, g: 10, w: 1, n: 5}. What is prob of picking 1 q and 3 g?
6/119
Three letters picked without replacement from {g: 2, i: 2, h: 4, p: 5}. Give prob of picking 1 i and 2 h.
6/143
Three letters picked without replacement from qzqqzqqzqqqqqzqqzq. Give prob of picking 3 q.
143/408
Three letters picked without replacement from kkcnkkkih. Give prob of picking 2 c and 1 i.
0
Calculate prob of picking 2 n and 2 l when four letters picked without replacement from {l: 4, n: 15}.
105/646
Four letters picked without replacement from jpjpppp. What is prob of picking 2 p and 2 j?
2/7
What is prob of picking 2 m and 1 r when three letters picked without replacement from muzuzzuzrzzzmzzz?
1/560
What is prob of picking 2 x when two letters picked without replacement from {x: 6, a: 2}?
15/28
Calculate prob of picking 1 w, 1 v, 1 k, and 1 q when four letters picked without replacement from wkqqfsfwvvvffvf.
16/1365
Three letters picked without replacement from lelelseleleele. Give prob of picking 1 s and 2 e.
3/52
What is prob of picking 3 f when three letters picked without replacement from wfffw?
1/10
What is prob of picking 1 k, 1 s, and 1 i when three letters picked without replacement from xisikxii?
1/14
What is prob of picking 2 k when two letters picked without replacement from {k: 9}?
1
What is prob of picking 2 n when two letters picked without replacement from nnnknnknnnnnnnnnnnnn?
153/190
Three letters picked without replacement from rrrv. Give prob of picking 2 r and 1 v.
3/4
What is prob of picking 1 y and 1 o | {
"pile_set_name": "DM Mathematics"
} |
3). Which is the closest to 30? (a) 2 (b) s (c) 5
c
Let f = 243 - 754/3. Let d = -98 + 97.9. Which is the nearest to f? (a) d (b) 2 (c) 5
a
Let c(r) = -3*r**2 + 12*r + 1. Let n(q) = -7*q**2 + 23*q + 1. Let w(f) = 9*c(f) - 4*n(f). Let g be w(0). What is the nearest to 0 in -17, -1, g?
-1
Let i = 109 + -109.1. Let k = -5.6 + 6. Let g = -1599 + 1593. Which is the closest to g? (a) 3 (b) i (c) k
b
Let k be 1*((-1)/2 + -1). Let j be 6/16 + 5*12/(-480). What is the nearest to j in -3/5, 3, k?
-3/5
Let b = 4 - 4. Let q be ((-2)/3)/((-4)/1433). Let f = q - 239. What is the closest to 0.2 in b, -2/5, f?
b
Let s = -74743 - -74739. Suppose 0 = h - 2 + 1. Which is the nearest to h? (a) 0 (b) -0.1 (c) s
a
Suppose 0 = -4*p - 5*j - 45, 0*p = -3*p + 4*j + 5. Let q = 1757 + -1756.56. Which is the closest to -1? (a) q (b) p (c) -3
a
Let g = -480 + 548. Let s = -69 + g. Which is the closest to 4? (a) s (b) 2/23 (c) -31
b
Let z = -3803.2 - -3803. Which is the nearest to -1/28? (a) -1/7 (b) 19 (c) z
a
Let q = 0.08 - -0.02. Let n be (-606)/(-27)*(-15)/20. Let v = n + 17. Which is the closest to v? (a) -5 (b) 4 (c) q
c
Let z(i) = -4*i + 1. Let j be z(1). Let w = -29.3 + 181.3. Let r = w - 154. Which is the nearest to -0.2? (a) -2/9 (b) j (c) r
a
Let v = 1.824 + -1.015. Let z = -0.191 - v. Which is the closest to z? (a) 2/13 (b) 4 (c) -3
a
Let y be ((-2144)/(-5628))/(8/9). Which is the nearest to -27? (a) -4 (b) 2/5 (c) y
a
Let r be (-24)/(-38) + 674/19209. Which is the nearest to -23? (a) 5 (b) -1 (c) r
b
Let g be 4/6 - (-48)/(-45). Let u(y) = y**2 - 2*y - 481. Let f be u(-21). Let v be 22/(-16) - (0 - 1). Which is the closest to g? (a) 5 (b) f (c) v
c
Let o = 7047.878 + -7048. What is the nearest to o in -5, 1/3, -0.1, 0.5?
-0.1
Let b be 4/6 - (-360)/270. What is the closest to 13 in 2/5, 0.5, b, -4?
b
Suppose 66*j = -73*j + 139. Which is the nearest to j? (a) 4 (b) -3 (c) -0.06 (d) -1/4
c
Let u be (-9)/7*1498/1284. What is the closest to u in -5, 1/4, -4.4, -2/5?
-2/5
Let o = -787.2 - -783.2. What is the closest to -3 in o, 0.4, -0.4, 3?
o
Let h = -5.4 - -6.4. Let i = -11.2 + -0.8. Let v = i + 13. What is the closest to h in -3, v, -5?
v
Let d be 20/28 + 2/7. Let z be (1 + 0)*(-2825)/(-113). What is the closest to d in z, 5, 2/3?
2/3
Let t = -94/5 + 19. Suppose -j - 3 + 4 = 0. Let o = -38731 - -271114/7. What is the closest to j in o, t, 51?
t
Let j = 0.74 + -31.34. Let m = -31 - j. Which is the closest to -3/7? (a) m (b) -3 (c) -2/13
a
Let n = -95.05 - -87.05. Which is the closest to -45/4? (a) -3/4 (b) n (c) -0.3
b
Let v = 217.1 + -214.1. Let z be (-6)/(-12) + (-2 - -2). Which is the closest to z? (a) 0.008 (b) -1/8 (c) v
a
Let g(t) = -16*t - 10. Let n be g(-1). Let x be (n/18)/((-11)/33). What is the nearest to -0.1 in -1.6, -0.4, -2/9, x?
-2/9
Let c = -2116 - -2117. Let m = -0.2 + 0.3. Let b = 2.7 - -1.3. What is the nearest to m in c, b, -1?
c
Let s(l) = 2*l**3 - l**2 - l - 1. Let q be s(2). Suppose 0 = -v + 4*v - q. Let a = -42147 + 42146.9. What is the closest to 0.1 in 0, a, v?
0
Let n = 435.155 + -0.055. Let v = n + -435. Which is the nearest to v? (a) 2 (b) -5 (c) 4 (d) 1/4
d
Let v = 121/226 + 73/1130. Which is the closest to -0.1? (a) 1/3 (b) 0.4 (c) 98 (d) v
a
Let h be 9 + -14 + -2 + 23/3. Which is the nearest to -2? (a) 0 (b) -2 (c) 6 (d) h
b
Let p = -39.8107 + 38.8107. Suppose 0*u = -u - 5. Which is the closest to p? (a) 4 (b) 0.023 (c) 2 (d) u
b
Let i = -0.746 - -0.076. Let m = i + 0.17. Let x = 26 + -25.6. What is the nearest to 0 in x, 0, m?
0
Let r = 4374 + -4374.3. What is the nearest to -0.13 in r, -0.4, 43?
r
Let f(s) = 2*s**2 + 25*s - 63. Let x be f(2). Let h = -0.2 - -0.3. Let m = 0.3 + 0.7. Which is the closest to h? (a) x (b) m (c) -3/7
c
Let r be (12/3 - (8 + 0)) + 53. Suppose r = 7*m + 14. Let n = 6 - 9. What is the nearest to -1 in n, -0.2, m?
-0.2
Let l = 75673/194484 - -31/853. Let j = 7/76 - l. Let k = -1/7 - -12/35. Which is the nearest to j? (a) k (b) -0.08 (c) 3
b
Let g(s) = -s**3 - 14*s**2 + 18*s + 42. Let p be g(-15). Let z = 0.24 - -0.06. Let l = 1.148 - 0.148. Which is the closest to l? (a) 2 (b) z (c) p
b
Let x = 8476 + -8476.03. Let f = -2.8 - -6.8. What is the closest to -1/4 in x, -2, f, -5?
x
Let g = 0.2 - 0.044. Let f = g - 0.456. Which is the nearest to f? (a) -0.3 (b) 0.4 (c) 5
a
Let t = -0.484 + 0.79. Let s = t - -0.094. What is the closest to 8/7 in 2, s, 1/2?
1/2
Let q = -0.1 - 1.9. Let u = -7125.8 - -7126. What is the closest to 1/2 in -3/2, u, q?
u
Let r = -11912/3 - -3971. Which is the nearest to 2? (a) r (b) -5 (c) -24/11
a
Let h = -50 + 249/5. Let s = 98 + -97.989. Let x = s - 5.011. What is the nearest to -2 in 3, h, x?
h
Let o = 9012 + -8643.9. Let y = o + -367. What is the closest to -1 in -2, 1/7, y?
-2
Let v be 16/5 + (-266)/1330. Which is the nearest to v? (a) -4 (b) -2 (c) 27 (d) 5
d
Let y = -75707/378485 - -2/75697. Which is the closest to 0? (a) 0.12 (b) -18 (c) y (d) 2/7
a
Let h = 96.4 - 96.4. Suppose -3*u = 1 - 10. Suppose 0 = -k - 2 - u. Which is the closest to h? (a) k (b) -1/2 (c) 2
b
Let u = -517 + 516.93. Suppose -5*g - 4*i = -15, 5*g + 4*i + 10 = 5*i. Let a = -1/66 - -47/198. What is the closest to g in u, 1, a?
u
Let v = -0.09 - -84.09. Let t = -83.8 + v. What is the nearest to 43 in t, -0.3, -3?
t
Let o = 381.6 - 381.6. What is the nearest to o in -2, 1.9, 5, -1?
-1
Suppose 0*j + 20 = -5*j. Let f = 47879 + -239394/5. What is the nearest to 9 in -0.3, f, j?
f
Let q = 0.229 - -0.019. Let u = q - -0.052. Which is the nearest to u? (a) 1/3 (b) 2/7 (c) -1
b
Let t be 26/(-4 + 2 + (-14)/(-8)). Let z = -98 - t. Let s be ((-6)/z)/(-3)*(0 - 0). Which is the closest to 1? (a) -2 (b) s (c) -0.3
b
Let d = 3.24 + -619.24. Let p = -617 - d. Which is the nearest to p? (a) 1 (b) 21 (c) -1
c
Let n be ((-4)/(-126))/(21/(-147)). What is the closest to -1 in -3, n, -9, -4?
n
Let f = -6967.8 + 6968. Which is the nearest to 1? (a) -4 (b) -3 (c) f (d) -273
c
Let m = -29.341 + 29.941. Let s be (1 + 5/(-3))/(-2). What is the closest to -0.2 in 3, s, 4, m?
s
Let m(j) = 58*j + 461. Let o be m(-8). Let a = 155/209 - 7/11. Let x be 8 - 11 - (-11)/4. What is the nearest to o in x, a, 1?
x
Let t = 67 + -130. Let p = t + 66. Let r = -1.1 - -0.1. What is the nearest to -1 in p, r, 0.2?
r
Let v = 1.94 - 1.85. Let d = 1.143 + -0.143. What is the closest to d in -3/2, v, 3?
v
Let f = -10 + 19. Let y be (3/2)/(f/18). Suppose 4*j - 15 = -y. What is the closest to 3 in -2, -5, j?
j
Let t = -292 - -205. Let r = t - -84. Which is the closest to -0.7? (a) 1/4 (b) 0.5 (c) r
a
Let m = 71.3 - 72.2. Let w = 83 + -83. Which is the nearest to -1? (a) m (b) 3 (c) w (d) 2
a
Let l be (-2 - -1 - -2)/(6/12). Which is the nearest to l? (a) 10 (b) 2/13 (c) -4
b
Suppose 0 = 2*g - 16, -2*k - 40 = 215*g - 220*g. What is the nearest to -0.1 in -0.3, k, 3?
k
Let o be 1 - ((-56)/(-30) + -1). Let f be ((-185)/(-148))/((-95)/76). Which is the nearest to f? (a) -0.1 (b) -3 (c) 0 (d) o
a
Let i = -193 - -221. Suppose -4*t = -8*t - i. What is the nearest to -1/3 in 2/3, t, -1/2?
-1/2
Let n = 1.8 - 1.7. Let x = -14294 - -14299. Which is the closest to -0.5? (a) 0.4 (b) x (c) 4 (d) n
d
Suppose 560 = -110*x - x - 29*x. What is the nearest to x in 2/11, -17, 0.2, 0.5?
2/11
Let b = -3.203 - -0.203. Suppose -c + 2 = -2. Suppose -3 - 1 = c*g. What is the nearest to -2/7 in b, -5, g?
g
Let j = -4121 + 4123. Let z = 16.66 - 16. What is the closest to 1/3 in z, -2/7, j?
z
Let f be ((-8)/(-160) - 0)*(-30)/(-4). Suppose 5*o - 3*r - 19 = 0, 3*o - 2*r = -4*r. Let y be (3/o)/(27/12). Which is the closest to 0.1? (a) y (b) f (c) 0.2
c
Let p = -3722.1 + 3715.1. Which is the closest to 0? (a) 48 (b) p (c) -9
b
Suppose 75*l = -5*l + 3*l - 154. Suppose -4 = -c - 0*c. Suppose -y + 10 = c*y. What is the closest to 1 in y, -0.2, l?
y
Let u = -90.1 + 95.1. Which is the nearest to u? (a) -0.2 (b) -0.8 (c) -2
a
Suppose 7 = -d - s, -2 = -27*d + d - 3*s. Which is the closest to d? (a) -5 (b) -0.3 (c) 2.08
c
Let l = -4 + 9. Let h = 10.3 + -13.3. Which is the nearest to l? (a) -1/4 (b) -5 (c) h
a
Let v = 0.1 + -1.1. Let n = 8.25 - 6.25. Which is | {
"pile_set_name": "DM Mathematics"
} |
nearest 1000000.
26000000
Round -7065.41 to the nearest ten.
-7070
What is 12731515 rounded to the nearest one thousand?
12732000
Round 0.000000188433 to 7 decimal places.
0.0000002
Round 17.750543 to one dp.
17.8
What is -0.000003496001 rounded to 7 decimal places?
-0.0000035
Round 0.006507259 to 4 dps.
0.0065
What is -833848.9 rounded to the nearest one thousand?
-834000
What is 12.418195 rounded to 2 dps?
12.42
What is -496162930 rounded to the nearest one million?
-496000000
What is 0.220226 rounded to two dps?
0.22
Round 7727.62 to the nearest one hundred.
7700
What is 162.4 rounded to the nearest ten?
160
What is 39.473458 rounded to 2 decimal places?
39.47
What is 0.004285246 rounded to four decimal places?
0.0043
What is -94248.33 rounded to the nearest one thousand?
-94000
What is 6.02145 rounded to 1 dp?
6
Round 123313.73 to the nearest 100000.
100000
Round 3.379342 to 1 decimal place.
3.4
Round 40388.67 to the nearest ten thousand.
40000
Round -0.000005985389 to 7 dps.
-0.000006
Round 0.00039385482 to four dps.
0.0004
What is -0.00775398 rounded to 2 dps?
-0.01
Round -331416 to the nearest one thousand.
-331000
Round 0.000014586 to four dps.
0
What is -0.0005568212 rounded to seven decimal places?
-0.0005568
What is 0.01263923 rounded to four decimal places?
0.0126
Round -380.80382 to 1 decimal place.
-380.8
Round -0.000982568 to 5 decimal places.
-0.00098
What is 151966720 rounded to the nearest 100000?
152000000
Round -43886.1 to the nearest 100000.
0
Round 0.01154175 to 5 dps.
0.01154
Round -2853.635 to the nearest integer.
-2854
Round 727.1141 to 0 decimal places.
727
Round -49.8789 to the nearest ten.
-50
What is -0.001454004 rounded to 4 decimal places?
-0.0015
What is -0.0078527 rounded to 3 decimal places?
-0.008
Round 12.6763 to the nearest 10.
10
What is -6909.7 rounded to the nearest 10000?
-10000
Round 1951938.8 to the nearest ten thousand.
1950000
Round 2.47431 to 2 decimal places.
2.47
Round 367459000 to the nearest one million.
367000000
Round 0.00987655 to four dps.
0.0099
Round 0.000007935767 to 7 decimal places.
0.0000079
What is -12348594 rounded to the nearest 1000?
-12349000
What is 0.00349387 rounded to three dps?
0.003
What is 0.04761311 rounded to three dps?
0.048
What is -50.8657 rounded to one dp?
-50.9
What is -0.000000103766 rounded to 7 decimal places?
-0.0000001
Round 96539120 to the nearest 100000.
96500000
What is 0.000012612387 rounded to 7 dps?
0.0000126
What is 11859.38 rounded to the nearest one hundred?
11900
Round -0.000003965216 to seven dps.
-0.000004
Round -1590472.6 to the nearest one thousand.
-1590000
Round -0.0038828002 to 5 decimal places.
-0.00388
Round -684.32739 to one dp.
-684.3
What is -13296210 rounded to the nearest 10000?
-13300000
Round -0.0000213421 to 7 decimal places.
-0.0000213
What is 0.0040568643 rounded to six decimal places?
0.004057
Round -179292 to the nearest ten thousand.
-180000
Round -20168400 to the nearest one million.
-20000000
Round -0.00010798 to 3 dps.
0
What is 0.00000032404312 rounded to seven decimal places?
0.0000003
Round -8623060 to the nearest 10000.
-8620000
Round -16527545.2 to the nearest one million.
-17000000
What is -0.003455117 rounded to 6 decimal places?
-0.003455
What is 0.0002643174 rounded to six decimal places?
0.000264
Round 0.00067970626 to four dps.
0.0007
What is 52.1305 rounded to zero dps?
52
Round 1.885716 to one dp.
1.9
Round -0.000147253 to 6 dps.
-0.000147
Round -455597.8 to the nearest one hundred thousand.
-500000
What is 66.679323 rounded to the nearest integer?
67
What is -3386580 rounded to the nearest one hundred thousand?
-3400000
What is 3201967 rounded to the nearest ten thousand?
3200000
Round 257789300 to the nearest 1000000.
258000000
What is -0.000103532977 rounded to 5 dps?
-0.0001
What is -37580.56 rounded to the nearest 1000?
-38000
What is 0.00000960706 rounded to seven dps?
0.0000096
What is 774201600 rounded to the nearest one million?
774000000
What is -0.0000004863 rounded to 7 dps?
-0.0000005
What is -885.31755 rounded to zero decimal places?
-885
Round 1725.74 to the nearest 100.
1700
Round 0.1472226 to four decimal places.
0.1472
What is 6240000 rounded to the nearest 1000000?
6000000
Round -103.8391 to zero dps.
-104
What is -9628.527 rounded to the nearest one thousand?
-10000
Round 0.00001514896 to six decimal places.
0.000015
What is 0.000002428921 rounded to seven dps?
0.0000024
Round 0.18654836 to 4 decimal places.
0.1865
Round 32.90994 to 0 dps.
33
Round 183092900 to the nearest one million.
183000000
What is -0.0002472569 rounded to 5 decimal places?
-0.00025
Round -313.535 to the nearest 100.
-300
What is 0.001233373 rounded to six dps?
0.001233
Round -14514.62 to the nearest 10000.
-10000
What is 0.0000157447 rounded to 7 decimal places?
0.0000157
What is -0.0919229 rounded to two decimal places?
-0.09
What is 16.10014 rounded to one dp?
16.1
Round -0.077417926 to three decimal places.
-0.077
What is 240.0829 rounded to the nearest one hundred?
200
Round -763760 to the nearest one million.
-1000000
What is 1.59273 rounded to 2 dps?
1.59
Round -775061.7 to the nearest one thousand.
-775000
Round 0.1970477 to 2 decimal places.
0.2
What is 1188.54 rounded to the nearest integer?
1189
Round -6858.044 to the nearest 1000.
-7000
Round 5830.347 to the nearest ten.
5830
What is 37124.3 rounded to the nearest ten thousand?
40000
What is -16362.34 rounded to the nearest ten?
-16360
Round 0.0000005699269 to 7 decimal places.
0.0000006
What is 0.0000010061758 rounded to 7 decimal places?
0.000001
Round 0.000007732023 to 7 dps.
0.0000077
Round 0.00000217576 to 5 dps.
0
What is 1.12507 rounded to 1 dp?
1.1
Round -51.2 to the nearest integer.
-51
What is 186.3465 rounded to the nearest 10?
190
What is -9.81315 rounded to 1 decimal place?
-9.8
Round -0.0003464036 to 6 dps.
-0.000346
Round 1.6070652 to 2 dps.
1.61
Round -20673 to the nearest 1000.
-21000
Round -70.8274 to 1 dp.
-70.8
What is -0.00000015788 rounded to 5 dps?
0
Round 0.02805575 to 5 dps.
0.02806
What is 61515920 rounded to the nearest 100000?
61500000
What is 776603 rounded to the nearest 1000?
777000
Round -37942.72 to the nearest one hundred.
-37900
What is 0.0619898 rounded to 4 dps?
0.062
Round 0.00077927 to 4 dps.
0.0008
Round 133567600 to the nearest one hundred thousand.
133600000
What is 1649.96 rounded to the nearest 100?
1600
Round -88.74432 to 0 dps.
-89
Round -0.000043477762 to six decimal places.
-0.000043
What is -214731 rounded to the nearest 10000?
-210000
Round -15333.9 to the nearest ten thousand.
-20000
What is -624.54 rounded to the nearest 10?
-620
What is 105795.2 rounded to the nearest one hundred?
105800
Round -0.46154743 to two decimal places.
-0.46
Round -0.0000006549878 to seven dps.
-0.0000007
Round 1334.43823 to the nearest integer.
1334
Round -507229100 to the nearest one million.
-507000000
Round -0.0000000313026 to 7 dps.
0
What is 30389070 rounded to the nearest 100000?
30400000
Round -412982.7 to the nearest one thousand.
-413000
Round -0.000616755 to 4 decimal places.
-0.0006
What is 0.0049083 rounded to 2 dps?
0
What is -0.0001092366 rounded to 6 decimal places?
-0.000109
What is 1.065119 rounded to one dp?
1.1
Round -0.0000010406 to six decimal places.
-0.000001
What is 206720900 rounded to the nearest 1000000?
207000000
What is 1.96408 rounded to the nearest integer?
2
Round -191.6321 to the nearest integer.
-192
Round -1203460 to the nearest ten thousand.
-1200000
Round -121386500 to the nearest one million.
-121000000
Round -3.380587 to two dps.
-3.38
What is 227362630 rounded to the nearest one million?
227000000
Round -89.505 to the nearest 10.
-90
What is 0.0014579176 rounded to five dps?
0.00146
What is -0.941191 rounded to three decimal places?
-0.941
Round -0.00000350623 to six decimal places.
-0.000004
What is 2.7587046 rounded to one dp?
2.8
Round -26912.659 to the nearest 10.
-26910
Round 1036339000 to the nearest 1000000.
1036000000
Round 21181400 to the nearest one million.
21000000
Round 45.641575 to 2 decimal places.
45.64
Round 0.04885984 to 5 dps.
0.04886
What is -12019.51 rounded to the nearest ten thousand?
-10000
Round 2159920 to the nearest 1000000.
2000000
What is 13351.326 rounded to | {
"pile_set_name": "DM Mathematics"
} |
e lowest common multiple of a and 11.
33
Let s be -2 - (21 + -2) - -2. Let u = -9 - s. Let z = -6 + 8. What is the least common multiple of z and u?
10
Let q(o) = o**3 - 6*o**2 + 8*o - 14. Calculate the smallest common multiple of q(6) and 4.
68
Suppose 0 = f + 3*l - 3, -2*f + 0*f = 3*l. Calculate the common denominator of ((-66)/(-27))/((-1)/f) and -39/7.
21
Let q = -1 - -5. Suppose -m = 5*c - 49, -49 = -3*m - q*c + 43. Suppose -4*g = -0*g - m. What is the least common multiple of 22 and g?
66
Let c(b) = b**3 - 2*b**2 - 3*b - 1. Let k be c(4). Let a = k - 11. What is the lowest common multiple of a and 16?
16
Find the common denominator of (-10)/(-55) - (4 + 0) and -5/26.
286
Let i(n) = -n + 5. Let l be i(8). Let h = -1 - l. Let a = 4 - h. Calculate the smallest common multiple of 16 and a.
16
Find the common denominator of (-404)/154 - (-2)/(-7) and (-26)/10 - 1/1.
55
Suppose 2*z = -4*v - 22220, 0*z + 5*z - 10 = 0. Let l = v - -44385/8. Find the common denominator of 59/20 and l.
40
Let o be (-4)/(-22) + (-432)/(-44). Suppose 0 = -0*t + 2*t - o. What is the lowest common multiple of t and 10?
10
Let l be -1 - -1 - (-24419)/2919. Let r = l - 7/834. Find the common denominator of r and ((-33)/21)/(-4 + 2).
14
Suppose -2*x = 0, -2*h - 4*x = x - 12. Let c be 4*(3 - 15/h). Let o(b) = 2*b. Calculate the smallest common multiple of 10 and o(c).
20
Let d(u) = -6 + 2*u**2 + 3*u + 4 - 5*u. Calculate the lowest common multiple of 22 and d(-3).
22
Let s(p) = -5*p**2 - 28*p - 3. What is the least common multiple of 24 and s(-5)?
24
Suppose -2*v = -431 + 139. Let q = -951 - -3773/4. What is the common denominator of q and (-2)/3 - v/(-21)?
28
Let b = -17 - -23. Calculate the least common multiple of 8 and b.
24
Let i(p) = 53*p + 7. Let k be i(-5). Let q be 4/k*(-66 + 0). Let a = q - -2959/344. Find the common denominator of a and -43/4.
8
Let a = 3967/14 + -283. Find the common denominator of a and 131/24.
168
Let z be 1/(((-1)/(-6))/1). What is the lowest common multiple of 7 and (-6)/4*(-32)/z?
56
Let h be 375/105 - 4/7. Suppose 4*m - h*m - 3*v - 1 = 0, 3*m + 4*v = 29. What is the least common multiple of m and 2?
14
Find the common denominator of -13/14 and 82/16 + (-15)/60.
56
Let m = 129 - 223. Let g = -46 - m. What is the least common multiple of g and 2?
48
Let g(x) = -7*x + 12. Let u be g(6). What is the common denominator of (-7)/u + (-2)/6 and 89/4?
20
Suppose -2*r - 2 = z, -2*r = 4*z + 2*r + 16. Let i(u) = -2*u. Suppose 5*s - 3*v + 2*v - 65 = 0, 17 = s - v. Calculate the least common multiple of s and i(z).
12
What is the common denominator of (-3)/4 - 181/(-12) and -57/5?
15
Let d = 17 + -14. Let t be (-154)/(-10) + (-4)/10. Suppose -t = -d*g - 0*g. Calculate the lowest common multiple of g and 2.
10
Let q = -1 + 13. Suppose -11 = 3*v + 4*c - 31, -5*v - 5*c = -30. Calculate the lowest common multiple of q and v.
12
Let u = 160654/301 - 3714/7. Let j = u - 3087/473. Let q = -4189/3 - -1408. Calculate the common denominator of j and q.
33
Let l = 14 - 4. What is the least common multiple of l and 18?
90
Let n(u) = 35*u**2 - 6*u + 3. Let l be n(6). Let w = -8618/7 + l. Calculate the common denominator of w and -9/10.
70
Let l be (-1713)/(-65) - 10/65. Let f = l + -1531/55. Calculate the common denominator of f and -22/13.
143
Suppose 5*l + 1464 + 1363 = -4*w, 2 = w. Calculate the common denominator of 1098/l + (-2)/7 and ((-291)/(-90) + 0)*-3.
90
Let o = 3199/1188 - 81/44. Find the common denominator of 47/10 and o.
270
Let m(r) = -r**2 - r + 3. Let v be m(0). Suppose -5*n - 9 = 2*t, 0 = -3*t - 3 - v. Calculate the smallest common multiple of 10 and -4 - -2 - 12/n.
10
Suppose 2*r + r = 9. What is the smallest common multiple of r and 11?
33
Suppose -5*y - 3*p = -3*y, 4*y + 5*p = 0. Suppose 0 = -2*f + 2*l - 3*l + 25, -2*f - 2*l + 30 = 0. Calculate the lowest common multiple of f and 2*(-8)/(y - 1).
80
What is the lowest common multiple of 21 + 67 + 0/(-1) and 11?
88
Let p = 361/13356 - -1/212. Let b = p - 179/3654. Let a = b - 38/319. Find the common denominator of a and -47/8.
88
Let i be 1195/4 + (2 - 3). Let k = i + -2993/10. Calculate the common denominator of 109/20 and k.
20
Let j(n) = -4*n**3 - 3*n**2 - 2*n. Let w be j(-2). Calculate the common denominator of ((-42)/40)/(1/(-2)) and -3 + (82/w)/(-1).
60
Let o = 2 + 0. What is the least common multiple of 10 and o?
10
Let v be (-10)/4*(-36)/(-45). Let b = v + 9. Suppose -5*z = 3*i + b, -3*i = -2*z + z - 23. What is the lowest common multiple of 14 and i?
42
Suppose -2*a + 822 = 2*k, -4*a + 0*k = k - 1650. Let u = a + -1298/3. Calculate the common denominator of u and -43/7.
21
Let n(u) = u**3 - 6*u**2 + 4. Let r be n(6). What is the common denominator of (-2)/(-2)*202/(-4) and (-175)/(-84) + 1/r?
6
Suppose 5*y - y - 12 = 0. Suppose 2*i - 18 = -5*p, 0 = -p - 3*p + 8. Calculate the lowest common multiple of y and i.
12
Suppose -9*s = -5*s - 24. Calculate the smallest common multiple of s and 11.
66
Let s = -13816/3731 - 6/533. Calculate the common denominator of s and -24.
7
Suppose 3*o = -0*o + 36. What is the lowest common multiple of o and 7?
84
Let i = 635/133 - 50/19. Suppose 5*o + 4520 + 798 = 2*r, 6 = -3*o. Let f = 15833/6 - r. Find the common denominator of f and i.
42
Let t(n) = -n**3 - 12*n**2 + n + 15. What is the least common multiple of t(-12) and 3*2 - (0 + 1)?
15
Let j be (-2)/((10/(-4))/5). Suppose 0 = j*o + 5*g - 15, -3*o + 3*g = 5*g - 20. Let y(v) = v - 1. What is the least common multiple of y(4) and o?
30
Suppose -5*d = 3*q - 4*q - 19, -q + 3*d = 13. Let z = -7837/12 + 652. What is the common denominator of q/14 + 2236/280 and z?
60
Suppose -2*s + 12526 = -4*j, 2*j + s + 2*s = -6243. Let o = 43779/14 + j. Find the common denominator of o and 95/12.
84
Suppose 2*g = -0*g - b + 14, -2*g + 14 = 2*b. Calculate the common denominator of g and -24/11.
11
Let o(m) = -m - 4. Let r(t) = 12*t - 3. Let z be r(2). What is the least common multiple of o(-6) and (7/z)/((-2)/(-120))?
20
Let m = -61183/16 - -3827. Let b = -581 - -1196. Let o = b + -13553/22. Find the common denominator of m and o.
176
Let b = 561 + -5059/9. Find the common denominator of b and 89/2.
18
Suppose 3*i - 4*v - 22 = 0, 2*i - 26 = -4*v + 2. What is the smallest common multiple of 9 and i?
90
Let q(j) = -3*j - 2 - j + 0*j. Let w be q(5). Calculate the common denominator of -31/18 and -2 + 1 - 1/w.
198
Let h = -965249/40 - -24134. Calculate the common denominator of h and -25/7.
280
Suppose -5*x + 20 + 0 = 0. Calculate the least common multiple of 2 and x.
4
Let g = 116218993/16 + -7271726. Let p be (-206 + 0)*(-37 + -2). Let i = g + p. What is the common denominator of i and 83/10?
80
Let c = 52 + -37. What is the least common multiple of c and 21?
105
What is the common denominator of (8 - 7) + 41/14 and (-245)/(-90) - (1 + 2)?
126
Let a be (5 - 3)*1 + -3. Let b(t) = t. What is the least common multiple of 3 - (-8 - -3) - a and b(4)?
36
Let i = 1243/6 - 210. Calculate the common denominator of 27/2 and i.
6
Let u = -4 - -3. What is the common denominator of (-1 - -1) + (-62)/18 and u + (-9)/6 + 3?
18
Let q = -8/759 + -23401/12144. Let r = 179972/35 - 24826/5. Let y = -2391/14 + r. What is the common denominator of q and y?
112
Find the common denominator of (-197)/176 - (-12)/66 and -49/2.
16
Calculate the common denominator of 1/10 and 14/(-35)*470/32.
40
Let c(y) = 7*y - 8. Let d be c(4). Suppose -v + 20 = 2*u - 6*v, d = 2*u + v. Let p(b) = b**2 + 3*b + 3. Calculate the lowest common multiple of u and p(-2).
10
Let l = 486/35 - 1297/70. Let a = 4943/4734 + 3/263. What is the common denominator of l and a?
126
Let f = 4/2534517 - -10784368043/1135463616. Let i = f + -201/64. Calculate the common denominator of i and 33/4.
28
Let y = 3 - 3. Suppose y = a - 9 - 6. Let h = -94310/37059 - 2/3369. Find the common denominator of h and a.
11
Let f = 46 - 38. What is the smallest common multiple of 20 and f?
40
Suppose -4*r + 24 + 16 = 0. Suppose -4*a = 5*j - 92, -5*a - r + 0 = 0. Calculate the smallest common multiple of 14 and j.
140
Let r = 17 + -16. Suppose 5*d = 49 + r. What is the smallest common multiple of 8 and d?
40
Suppose 1 = -x + 9. Calculate the lowest common multiple of x and 3/6*0 - -12.
24
Let z(x) | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of n?
3
Let r(v) be the third derivative of -v**6/120 + v**5/5 - 13*v**4/24 + 11*v**3/6 - 15*v**2. What is the units digit of r(8)?
3
Let c be (-1 - 75/(-20))/((-2)/8). What is the hundreds digit of (6 + c)*((-103)/5 + -2)?
1
Let a = -16 + 28. Suppose -a*y + 108 = -8*y. What is the tens digit of y?
2
Suppose -1361*o = -1360*o - 1299. What is the tens digit of o?
9
Suppose 0 = 33*k - 9*k - 2304. What is the tens digit of k?
9
Let t = 863 + -496. What is the units digit of t?
7
Let c be (-20)/(-11) + (-2)/(-11). Suppose -3*q = -3*h + 60, -2*h + 3*h = c*q + 25. What is the tens digit of h?
1
Suppose -r - 2*h - 28 = 0, -2*r = 3*r - h + 162. Let w = 2 - r. What is the units digit of w?
4
Let h = -1412 + 1661. What is the units digit of h?
9
Let i(w) = -8*w**2 + 6 + 2 - 3*w + 2 + w**3 + 12*w. What is the tens digit of i(7)?
2
Let o(r) = r**3 - 4*r**2 - 2*r - 5. Let q(f) = -f**2 - 7*f - 5. Let v be q(-5). Let u be o(v). Let i = u - 8. What is the units digit of i?
2
Suppose -3*x - 61 - 107 = 0. Let z = x + 130. What is the units digit of z?
4
Let f(h) = 5 + 3 + 6*h - h**2 + 8*h. What is the tens digit of f(7)?
5
Suppose -k + 114 = k. What is the units digit of k + 1/(-1) + -3?
3
Suppose 5*x - 3*x = 12. Suppose 0 = -2*l + 2, -4*l - x = -g - 4*g. Suppose 0 = -5*s + 13 + g. What is the units digit of s?
3
Suppose 5 = -4*c - 3*d + 14, -c - 4*d - 14 = 0. Let s = 119 + -66. Suppose 0 = -2*n - b + c*b + 18, -3*n = -b - s. What is the tens digit of n?
1
Let s = -2 + -4. Let m(k) = -3*k + 4*k + 390*k**2 - 382*k**2 + k**3 - 13. What is the units digit of m(s)?
3
Let f(d) = -d**3 - 9*d**2 + 10*d + 15. Suppose 6*q = 2*q - 44. Let s be f(q). Suppose 0 = -5*t - 4*a + s, -t = -4*t - 2*a + 89. What is the units digit of t?
1
Let b(u) = u**3 - 4*u**2 + 2*u - 4. Let x be b(4). Suppose -5*c + x = -q + 19, 2*c = 4*q - 78. Suppose -7*g = -12*g + q. What is the units digit of g?
4
Let p = -23 - -26. Suppose -4*s + 2*s = 2. What is the units digit of s/p - 42/(-18)?
2
Let i(p) = 653*p**2 - 19*p + 10. What is the units digit of i(3)?
0
Let j(p) = -p**3 + 5*p**2 + 2*p + 20. Let a be j(6). Let l(k) = -11*k + 1. What is the units digit of l(a)?
5
Suppose 0*j - 5*j = -k - 2, 5*j = 5*k - 30. Suppose -k*m + 9 = -5*m. Suppose m*q - 186 = -3*q. What is the tens digit of q?
3
Let j(d) = d**3 + 7*d**2 - 11*d - 19. Suppose 4*n = 2*f - 5*f - 40, 5*n = -f - 28. Let u be j(f). Suppose -u*i = 32 - 152. What is the tens digit of i?
2
Let y(c) = 3*c**2 + 21*c - 28. Suppose 0 = 4*i + 8, 5*i - 29 = 3*v. What is the units digit of y(v)?
6
Let g = -320 - -608. Suppose 2*n - g = -5*s, -n + 2*s + 66 = -96. What is the tens digit of n?
5
Let w(a) = a + 10. Let n(k) = k + 4. Let f be n(-12). Let r be w(f). What is the units digit of (-4)/(-1) - r/2?
3
Let t(p) = 122*p**2 + 9*p + 2. What is the units digit of t(2)?
8
Suppose -y - 3*i = -1007, 3*i = 7*y - 5*y - 2032. What is the units digit of y?
3
Let d be 13 - (3 - (-2 + 1)). Let g(n) = -n**2 + 8*n - 3. Let q be g(d). What is the units digit of (q/4)/3*-3?
3
Let v(c) = 2*c**2 - 7*c - 16. Let y be v(-2). Let s(w) = 5*w**2 - 9*w + 11. What is the hundreds digit of s(y)?
1
Suppose 0 = -q + 13 + 10. Let b = q + -20. Suppose -b*w + 6*w - 6 = 0. What is the units digit of w?
2
Let k = -3 - -7. Let d(t) be the third derivative of t**5/60 + t**4/24 - t**3/6 + 6*t**2. What is the units digit of d(k)?
9
Let c = 192 - -515. What is the units digit of c?
7
What is the hundreds digit of 7*(26960/56 - 8)?
3
Suppose -a = -3*a. Suppose -53*v + 48*v + 155 = a. What is the units digit of v?
1
Let c(k) = k**3 + 7*k**2 + 4*k - 7. Let q(s) be the first derivative of s**3/3 - 7*s**2/2 - 5*s + 4. Let x be q(7). What is the tens digit of c(x)?
2
Let o(w) = w**3 - 7*w**2 - 7*w - 6. Let z be o(8). Suppose z*d = 2*v + 134, 4*d + 2*v - 266 = 4*v. What is the units digit of d?
6
Suppose -5*a + 18*y + 7628 = 14*y, 2*y = -a + 1534. What is the tens digit of a?
2
Let v be (1/2)/(2/20). Suppose -v*n + 9*n - 244 = 0. What is the units digit of n?
1
Let c(i) = -4*i + 1. Let n be c(1). Let w be n/4 + 165/60. What is the units digit of (3 + 4)/(w/4)?
4
Suppose -q - 5*z = -1106, -16*q + 4493 = -12*q - 3*z. What is the units digit of q?
1
Let x = 39 + -41. What is the units digit of (-147)/x + (-21)/(-14)?
5
Suppose -5 + 80 = k. Suppose 8*f + k = 2*d + 3*f, 0 = -4*d + 3*f + 157. Suppose 0 = 5*n - n - d. What is the tens digit of n?
1
Let l be -4*9/(-12) + -3. Let i(m) = -m + 3. Let a be i(l). Suppose 0 = -a*g + 29 + 7. What is the units digit of g?
2
Let y = -40 + 45. Let a = 48 + -17. Suppose y*k - 26 = 2*h - 9, -3*k + a = 4*h. What is the units digit of k?
5
Let a be ((-4)/(-4))/((-3)/(-51)). Suppose 3*s + a = 80. Let q = s - -4. What is the units digit of q?
5
Suppose -4*i - 15 + 2219 = 3*g, 3*g - 2206 = -2*i. What is the tens digit of g?
3
Let l(p) = -p**3 + 14*p**2 + 7*p + 6. What is the hundreds digit of l(10)?
4
Let f be 1/(-5) + (-260)/(-50). Suppose -2*h + 0*p + 258 = -4*p, -519 = -4*h + f*p. What is the tens digit of h?
3
Suppose -4*n = 3*w - 5*n - 55, -5*w + 5*n = -85. Suppose -s = -w - 50. What is the tens digit of s?
6
Suppose 2*o - 16 = 70. Suppose -5*d - 3*v - 85 = 0, 2*d - 5*v + 29 - 26 = 0. Let s = d + o. What is the tens digit of s?
2
Suppose u = -t + 26, t = 5*u - t - 137. Let p = u + -9. What is the units digit of p?
8
Suppose 0 = -2*k + 7 + 27. Suppose 5*g - k = -r, -3*g = -g - 2*r - 2. Suppose -2*l + 9 + g = 0. What is the units digit of l?
6
Let o be 1 + 2 + -3 + -2. Let m be (-2 - o) + 19 + 0. Suppose -5*r - m = -104. What is the tens digit of r?
1
Let u(v) = 306*v**3 + v**2 - 3*v + 1. What is the hundreds digit of u(1)?
3
Let b(y) = -y + 17. Let c be b(15). Suppose 0 = c*u - 192 - 162. What is the units digit of u?
7
Let q = -29 + 15. Let d = -7 - q. Suppose -f - d = 2*s, -5*f - s = -0*s - 1. What is the units digit of f?
1
Suppose 817 = 5*c - 358. What is the tens digit of c?
3
Suppose -27 + 9 = 2*p. Suppose 184 = 3*z + z. Let l = p + z. What is the tens digit of l?
3
Let d(r) = 40*r**2 + 2*r - 2. Suppose -5*m = -m - 8. What is the hundreds digit of d(m)?
1
Let s = 850 - -224. What is the thousands digit of s?
1
Suppose 10 = 4*y - 3*y. Suppose -y*r + 255 = -5*r. What is the tens digit of r?
5
Suppose 2*v - 8 = -2. Suppose 0 = -i - v*i - 2*r + 172, -r - 86 = -2*i. What is the tens digit of i?
4
Suppose 3*i - 12*l + 16*l - 7174 = 0, 3*l = -15. What is the hundreds digit of i?
3
Let j(p) = -3*p + 2. Let d be j(4). Let f = -5 - d. Suppose 31 = 4*v - f. What is the units digit of v?
9
Suppose -4*a - a = 0. Suppose 2*q - 3*w = 2*w - 21, a = 5*w - 25. Suppose -z + 5*n = 13, -q*n - 20 = -6*n. What is the units digit of z?
2
Suppose z + 5*z = 390. What is the tens digit of z?
6
Let p be (-1)/((-2)/(-4) - 1). Suppose 0*o + p*o = 186. Suppose 7*t = o + 320. What is the units digit of t?
9
Suppose -4 + 59 = 5*z. Suppose z*t = -0*t + 3322. What is the tens digit of t?
0
What is the tens digit of 8/6*(-15 + 495) + -3?
3
Let l(d) = -d**3 - d + 462. What is the hundreds digit of l(0)?
4
Let u(o) = -o**3 + 18*o**2 - 20*o + 4. What is the hundreds digit of u(6)?
3
Let r(j) = -12*j + 22. What is the hundreds digit of r(-8)?
1
Suppose -4*s = -31 - 41. What is the hundreds digit of (-6)/36 + 2847/s?
1
Let o be (-2 - -4)/((-2)/(-312)). Suppose o = l + 2*l. Suppose -n = n - l. What is the tens digit of n?
5
Let j be ((-3)/(45/6))/(2/(-30)). Suppose -5*i = t - 165, 0 = -2*i + 2*t - j*t + 66. What is the units digit of i?
3
Let z = 12 - 10. Let n be (28/(-6))/(z/(-3)). Suppose -113 = -4*a + 5*h, 0 = -3*a + n*h - 3*h + 84. What is the tens digit of a?
3
Let u be -2 + ((-12)/2)/(-1). Suppose 0 = -5*w + u*i + 486, -2*i - 208 = -4*w + 176. What is the units digit of w?
4
Let w be 0 - -1 - 181*-5. What is the tens digit of w/18 - 4/(-6)?
5
Let a(u) = -29*u + 1. Suppose 5*o + 20 = -0*o, o - 1 = 5*i. What is the tens digit of a(i)?
3
Let y be 16*(-2 + (-21)/2). Let k = -79 + 114. What is the tens digit of ((-42)/k)/(6/y)?
4
Let b = 34 + -29. Suppose 77 = 2*l + 5*s, -l - 163 = -b*l - s. What is the tens digit of l?
4
Suppose -2*a = -38 - 0. Suppose a*f = 14*f + 90. What is the units digit of f?
8
Let i(q) = 502*q**2 + 36*q + 12. What is the hundreds digit of i(-3)?
4
Let | {
"pile_set_name": "DM Mathematics"
} |
2125/28)
Simplify (r*r**(-5)/r)**(-18)*(r**(-12)*r*r)**(5/2) assuming r is positive.
r**65
Simplify o**(-5/8)*o*((o**(-9/2)*o)/o)/o*(o**(-27))**(1/28) assuming o is positive.
o**(-341/56)
Simplify ((r/(r/(r*r/r**(-1/9))))/r*r**(-4)*r)/(r**(-1/2)*r/(r/(r*r*r*(r/(r/(r**(2/45)/r))*r)/r*r))*r) assuming r is positive.
r**(-163/30)
Simplify ((w**(-1)/w)**(-41)/(w**0)**(-1/10))**(-10/11) assuming w is positive.
w**(-820/11)
Simplify ((q*q**(2/113))/q**(1/7))**(-30) assuming q is positive.
q**(-20760/791)
Simplify (r**(-5))**(-6/11)*((r/(r*r*r*r/(r**(-2)*r)*r))/r*r)**(-26) assuming r is positive.
r**(1460/11)
Simplify ((g*g**(3/5))**(9/8))**16 assuming g is positive.
g**(144/5)
Simplify ((z**4/z)/(z*z**(-7)/z))/(z**3)**(5/6) assuming z is positive.
z**(15/2)
Simplify ((r**(-4)/r**(2/9))/(r**1)**(-7))**(-1/5) assuming r is positive.
r**(-5/9)
Simplify (q**(-3))**(-17)/((q*q*q*q/(q*q**(2/13))*q)/q**(-6)) assuming q is positive.
q**(535/13)
Simplify g**23/g**(1/2)*(g*g*(g**(5/9)*g)/g)**(2/25) assuming g is positive.
g**(10217/450)
Simplify (((h*h**(-18/5))/h*h*h*h)/h*h*h)**(-1/8)/(h/h**1*h**(-2/3)) assuming h is positive.
h**(37/60)
Simplify (o**5)**(3/31)/(o**16/o*(o/((o*o*o/(o/o**(-1/8)*o)*o)/o)*o)/o) assuming o is positive.
o**(-3631/248)
Simplify ((a/((a**(-13)/a)/a)*a)/a*a**(2/11)*(a/((a*((a**2/a)/a)/a*a)/a)*a)**49)**6 assuming a is positive.
a**(7536/11)
Simplify q**13/q*q**(-31)*(q*q**37/q)/q*q/q**(-1/23) assuming q is positive.
q**(415/23)
Simplify ((h**21/h*h)/h*h*h**(-1/2))/(h/(h**(3/14)/h))**(-3/22) assuming h is positive.
h**(6389/308)
Simplify (((o**(1/7)/o)/o**(-2/19))**(-50))**(-35) assuming o is positive.
o**(-25000/19)
Simplify (((o*o/(o/(o/((o**(-5)*o)/o))))/o)/o**11)/((o/(o*(o**(1/17)*o)/o*o*o*o))/o**(2/35)) assuming o is positive.
o**(-1121/595)
Simplify ((l*(l/((l*l**(-12))/l))/l)/l*l*l**7)/((l*l**(2/13))/l**14) assuming l is positive.
l**(427/13)
Simplify ((o**17*(o/(o/((o*o**(-9/4)*o*o*o)/o))*o)/o*o)**4)**(2/49) assuming o is positive.
o**(150/49)
Simplify (b*b**(1/7))/b*b**(2/7)*(b/(b/((b*b*b**(-1/3)*b*b)/b)))/b*b/(b**(8/3)/b) assuming b is positive.
b**(10/7)
Simplify ((w/w**0)**(-46)*(w*w**(1/3))**(-5/12))**35 assuming w is positive.
w**(-14665/9)
Simplify ((a/(a/((a*a/a**7*a*a)/a*a*a)*a)*a)/a)**40/((a**(-25)/a)/(a/(a**(-26)/a))) assuming a is positive.
a**(-66)
Simplify ((f/(((f/(f**(-2)/f))/f)/f))**(2/9)/(f*(f*f**(1/14))/f*f*f**(-2/7)))**(-30) assuming f is positive.
f**(1265/21)
Simplify ((v**(1/3)*v/(v**1*v))**(1/4))**(-2/107) assuming v is positive.
v**(1/321)
Simplify ((a**21*a)/a)**(-13)/(a**24/((a**(-15/8)/a)/a)) assuming a is positive.
a**(-2407/8)
Simplify (q**(-6))**0*q**23*(q*q**(-7/3))/q*q assuming q is positive.
q**(65/3)
Simplify ((s*(s/(s**25/s))/s*s)/((s*s*s**17)/s*s))**(2/21) assuming s is positive.
s**(-82/21)
Simplify ((((t*t*t/t**(7/2))/t)/t)/t)/t*t/((t/(t/((t/t**(-2/9)*t*t)/t)))/t)*(t**(-4/11))**(4/15) assuming t is positive.
t**(-4771/990)
Simplify ((d**6)**(-2/67))**(-2/21) assuming d is positive.
d**(8/469)
Simplify (w**(-1)/w**(4/19))**50 assuming w is positive.
w**(-1150/19)
Simplify ((f**11*f)/f**(-25))/(f**(-6)/f**(-2)) assuming f is positive.
f**41
Simplify ((g**(-1/7)/g*g*g)/g)**(-19)*(g/(g**3*g*g))**(-7/2) assuming g is positive.
g**(117/7)
Simplify ((i/(i*i**(1/10)*i))/(i/i**(-4)))**10 assuming i is positive.
i**(-61)
Simplify (u**(2/7)*u*u**(-6/25))/((u/u**(-2))/(u*(u/(((u*u/(u/(u/(u*(u/u**(-2))/u)*u*u))*u*u)/u)/u))/u)) assuming u is positive.
u**(-342/175)
Simplify ((i*i**39)/(i**(-38)*i))/(i/(i/i**(-3/23)*i))**(-25) assuming i is positive.
i**(1121/23)
Simplify (v*v/(v**(-3)*v))**(45/4)*(v**14/v)**(1/43) assuming v is positive.
v**(1948/43)
Simplify ((r**5/r**(-24))**24)**(2/133) assuming r is positive.
r**(1392/133)
Simplify ((h/(h**(4/9)*h))/(h**24*h))/(h**(1/52)/(h*h/h**23)) assuming h is positive.
h**(-21745/468)
Simplify ((q/(q**(-6)*q))/q**(-1/6)*(q**(2/9))**(2/9))**(-19) assuming q is positive.
q**(-19133/162)
Simplify ((k**(-2/25)/((k/k**(-1/3)*k)/k))/((k/k**(1/7)*k)/(k/(k*(k*k**(-2)*k*k)/k))))**(-24/11) assuming k is positive.
k**(13736/1925)
Simplify h**(2/17)/h*(h*h**(-2/9))/h*((h**(-1/4)*h)/h)/((h**(5/3)/h)/h) assuming h is positive.
h**(-625/612)
Simplify ((t**2/t)/t**(-2/7))/((t**(-2/9)/t)/t*t*t)**(-48) assuming t is positive.
t**(-197/21)
Simplify ((y**(2/3))**(2/139)/(y*y**0*(y*y*y**4*y*y*y)/y*y))**(2/67) assuming y is positive.
y**(-8332/27939)
Simplify (a*a**(-3)*a*a**(-3))/(a*a/(a/(a/(a*a**(1/3))))*a)**(-17) assuming a is positive.
a**(73/3)
Simplify (z**(2/3)/(z*z**(-3/4)*z))/(z*z**(2/11)*z*(z*z*z/z**3)/z) assuming z is positive.
z**(-233/132)
Simplify ((z**(-2/9))**(1/20)*(z*z**(1/3)*z*z)**(-2/37))**(5/8) assuming z is positive.
z**(-637/5328)
Simplify ((t**(-1/3)/((t*t*t*t*t/(t/((t/(t*t**7*t))/t))*t*t*t*t)/t))**(8/19))**35 assuming t is positive.
t**(1400/57)
Simplify (k**7/(k**(-2)*k))/((k/(k/(k*k**(4/5))))/(k*k*k**12)) assuming k is positive.
k**(101/5)
Simplify ((p/(p*p*p**(-3/26)/p*p*p))**31)**7 assuming p is positive.
p**(-10633/26)
Simplify (c*c**28*c)/c**(10/7)*c**(-31)/(c**(-1/15)*c) assuming c is positive.
c**(-353/105)
Simplify (i*i/i**(3/7))**(2/9)/(i**(-12)*i/(i/(i/(i/i**12*i)*i))) assuming i is positive.
i**(22/63)
Simplify ((f*f**1)/f**(-1/2)*(f/(f*f**(-1/5)))/f**(-2/9))**13 assuming f is positive.
f**(3419/90)
Simplify (b/(b/(b/(b*b/b**(-7)))))**(-6/19)/((b/(b**(-9/7)*b))/(b**(3/13)/b*b*b)) assuming b is positive.
b**(4273/1729)
Simplify (((v**(-3)/v)/(v*v*v/v**(-1/5)))/((v*v*v*v/(v*v**7)*v)/(v**(8/7)/v*v)))**(-6/19) assuming v is positive.
v**(642/665)
Simplify (j**9/j**8*(((j/((j*j**(1/3)/j)/j)*j)/j)/j)**(9/8))**(-2/173) assuming j is positive.
j**(-7/346)
Simplify (z**(-16)*z*z*z**(-2/19)*z*z)/((z/z**(5/2))/(z*(z*z*(((z/(z/(z**(1/9)/z*z)))/z)/z)/z*z*z)/z)) assuming z is positive.
z**(-3247/342)
Simplify (w**(-2/7)/w**0*((w*w*w**0*w*w)/w)**(-1/57))**1 assuming w is positive.
w**(-45/133)
Simplify (((n**(-1/14)/n)/n)/((n*n/(n/(n/(n/(n*n**(-1/20)/n)))))/n*n))/((n**(-2/9)*n)/n*((n*n**(-3))/n)/n) assuming n is positive.
n**(1513/1260)
Simplify (((t/(t*t**(-10)/t*t))/t*t)/t)/((t**(-4/5)*t)/t)*t**(3/8)*t*t*t**(2/3)*t assuming t is positive.
t**(1661/120)
Simplify (w**4)**(1/38)*w**7*w*((w**(-4/3)*w)/w)/w assuming w is positive.
w**(329/57)
Simplify ((u/((u*u*u**(-1/2))/u))/u*u)**9/(u*(u*u**(-7)/u)/u*u**(-11)/u) assuming u is positive.
u**(47/2)
Simplify (v**(-13)*v*v**(-3))/((v*v**16*v*v*v)/v**(3/5)) assuming v is positive.
v**(-172/5)
Simplify (t**2)**(-3/10)/(t/((t**(3/2)/t)/t)*t*t*t**2) assuming t is positive.
t**(-61/10)
Simplify (((a/(a/(a**(-1/5)*a)))/a)**(13/2)*(a/((a*a**(-1/8))/a))/(a**(9/5)*a))**(3/5) assuming a is positive.
a**(-357/200)
Simplify ((u/u**(-17))/u**(-6/11))/(u/u**(-17)*u*u*u**18*u) assuming u is positive.
u**(-225/11)
Simplify ((o/o**(-31))**3)**29 assuming o is positive.
o**2784
Simplify m**(-2/25)*m*m**(2/3)*m/(m/m**(-1/36))*(m**(-6)/m)/m assuming m is positive.
m**(-5797/900)
Simplify (y*y**(-2/23)*y*y/(y**(-11)/y*y))/(y**(2/3))**(-27) assuming y is positive.
y**(734/23)
Simplify (d/(d*d**(-12)))/(d*d**(-12)/d)*(d**(1/11)/d)/d**(-1) assuming d is positive.
d**(265/11)
Simplify ((r**(-3)*r)/r)/(r/r**(2/7))*(r*r**(-1))/(r/r**(-1/3)) assuming r is positive.
r**(-106/21)
Simplify (w/(w**(2/7)*w))**(-4/17)*w**(-9/8)/(w**(-4/5)*w) assuming w is positive.
w**(-5987/4760)
Simplify ((o/(o/o**(1/9)))/((o*o/o**19*o)/o))/((o*o**(-13/4))/(o/o**(4/5))) assuming o is positive.
o**(3521/180)
Simplify ((u*u**(-1/6))/u*u*u)/(u/((u**(-1)*u)/u)*u*u*u)*u/(u/(u**(2/23)/u))*u*u**(4/13) assuming u is positive.
u**(-4973/1794)
Simplify (g/((((g*g**(5/2)/g)/g)/g*g)/g))**(-8/5)*(g/((g*g*g**(-17)/g)/g))**(1/24) assuming g is positive.
g**(-1/20)
Simplify b*b/b**(-33)*b*b**(8/9)/b*b*(b**(7/2))**(-1/5) assuming b is positive.
b**(3257/90)
Simplify (s**(-1/4))**11*s**(2/19)*s*(s*s*s/s**(7/3))/s assuming s is positive.
s**(-451/228)
Simplify (t**24/t**(1/7))/((t*t**27)/t**(6/13)) assuming t is positive.
t**(-335/91)
Simplify (t/t**2)**(-45)/(t**(3/8)/(t*t**16/t)) assuming t is positive.
t**(485/8)
Simplify (x**(15/7)*x/(x**(2/9)/x))/(x/((x/x**13)/x*x)*x)**(-2/7) assuming x is positive.
x**(499/63)
Simplify (x**26*x*x**6)/(x**(-3/5)/x**(7/3)) assuming x is posi | {
"pile_set_name": "DM Mathematics"
} |
- h**3/3 - h**2 - 12*h. Calculate l(-4).
2
Let o(s) = s + 4. Let g(r) = -8*r**3 + r. Let l be g(-1). Suppose -l*y + 4*y = 18. Give o(y).
-2
Let m(x) = -x**3 - 6*x**2 - 3*x + 5. Let v be (-2 + 5 - -12) + 0. Suppose -2*w + 40 = -7*w - 3*b, -w - v = 2*b. What is m(w)?
-5
Let u be -1*1 - -3*6. Suppose -4*n - 5*a - u = 0, a + 21 = 3*n - 2*a. Let x(r) = 0*r**2 + 4 - r**n - 3. What is x(-1)?
0
Let s(w) = -3*w**3 + 4*w**2 - 4*w + 3. Suppose -5*m - 84 = -m. Let k be (m/14)/(6/(-8)). What is s(k)?
-13
Suppose -4*v + 91 = 5*h, 4*h - 17 = 3*v + 31. Let z = 14 - h. Let i(a) = -5*a + 1. Determine i(z).
6
Let l(o) be the first derivative of o**3/3 - 3*o**2/2 - 3*o - 1. Let t(g) = g**2 + 10*g - 2. Suppose -4*z - 25 - 15 = 0. Let m be t(z). What is l(m)?
7
Let u(n) = -5*n + 8. Let p(c) = c - 1. Let d(z) = -6*p(z) - u(z). What is d(-3)?
1
Suppose 2 = -5*j - 3. Let h(m) = -m**3 - 3*m**2 - m + 1. Let w be h(-3). Let q = j + w. Let r(g) = g**2 - 4*g + 4. Give r(q).
1
Let c(m) = m**2 - 9*m + 14. Let r be c(4). Let a(p) = -6*p - 2. Let q(s) = -5*s - 2. Let y(u) = 4*a(u) - 5*q(u). Determine y(r).
-4
Let p be 2/(-4) - 4/(-8). Let s(y) = -y + 7. Give s(p).
7
Let t(r) = r - 10. Let d(z) = z**2 + 2*z + 1. Let f be d(-3). Let p be t(f). Let k = -5 - p. Let h(v) = v**3. Determine h(k).
1
Let i(w) = -38*w - 47*w - 11 + 84*w. Suppose 7*y - 3*y + r + 1 = 0, -5*y - 4*r = 4. Give i(y).
-11
Let x(d) = -9*d**2 - 3*d + 14. Let i(f) be the third derivative of f**5/20 + f**4/24 - 5*f**3/6 + 8*f**2. Let y(r) = -8*i(r) - 3*x(r). What is y(-2)?
8
Let y = 9 + -6. Suppose 0 = 4*d - y - 1. Let s(c) = 4*c - 1. Determine s(d).
3
Let o(c) = -13*c**2. Let u(g) = 13*g**2. Let f(l) = -6*o(l) - 7*u(l). Give f(-1).
-13
Suppose -3*i - 5 + 2 = -3*k, -4*k + 14 = i. Suppose -k*z = 2*z + 20. Let x(g) = -g**2 - 6*g - 6. Give x(z).
2
Let r(k) be the first derivative of k**5/20 - 5*k**4/12 + k**3/3 + 3*k + 2. Let p(o) be the first derivative of r(o). Determine p(4).
-8
Let m(r) = 6*r**3 + 6*r**2 + 4*r - 4. Let f be ((-2)/4)/((-7)/70). Let n(t) = -7*t**3 - 6*t**2 - 5*t + 5. Let a(h) = f*n(h) + 6*m(h). What is a(-6)?
7
Let j(c) = 0 - 3 - 5*c + 2*c. Determine j(-5).
12
Let q(m) be the third derivative of m**5/60 - m**4/8 + 2*m**3/3 + 2*m**2. Let n be (-4)/5 - 247/(-65). Calculate q(n).
4
Let z(x) = x + 3. Let g(n) = n**3 + 5*n**2 - 2*n - 5. Let d be g(-5). Suppose d*p = y + 10, 4*p = 3*y + 2 + 17. Let k = p - 6. Give z(k).
-2
Let a(l) be the first derivative of l + 2/3*l**3 + 5/12*l**4 - 2 + 3/2*l**2 + 1/20*l**5. Let w(g) be the first derivative of a(g). What is w(-4)?
3
Let s(n) = 8 - 5 + 0 - 8*n. Let q = 2 - 0. Calculate s(q).
-13
Suppose 0 = 7*t + 7. Let a(c) = -9*c - 2. Let y(f) = 27*f + 5. Let u(h) = 8*a(h) + 3*y(h). Give u(t).
-10
Let r = 4 + -12. Let j(m) = -m**3 - 7*m**2 + 9*m + 9. Give j(r).
1
Suppose -3*v - 2 = 2*l, l + l = -v - 6. Let g = 7 - v. Let t(f) = f**3 - 5*f**2 - f - 6. Calculate t(g).
-11
Let m(d) = -4*d. Suppose -4*u = h - 31, u + 0*h = -3*h + 16. Suppose x + 6 = u. Give m(x).
-4
Let n(x) = -x**3 + 7*x**2 + 9*x + 6. Suppose 3*p = 3*o - 27, -3*o = 4*p - 7 - 13. Give n(o).
14
Let f(z) = -2*z**3 - 10*z - 1. Let n(t) = t**3 + t**2 + t + 1. Let c(x) = f(x) + 3*n(x). Determine c(-5).
-13
Let z(q) = 2*q - 6. Let u be z(4). Let f(v) = -v - v**u + v. Let l be (4 + -7)/(2/(-2)). Give f(l).
-9
Let f be -1 + 1 - 0/4. Let r be (-3)/6*-1*f. Let w(p) = p**2 + p - 7. What is w(r)?
-7
Let y(n) = n - 4. Let f(k) = 1. Let b(j) = -6*f(j) - 2*y(j). Let q(p) = 4*p - 5. Let a(m) = 10*b(m) + 4*q(m). Let i be ((-14)/(-21))/((-4)/6). Calculate a(i).
4
Suppose 5 = -6*w + 23. Let n be 4*(-1 - (-1)/(-4)). Let z(s) = 2*s - 2. Let a(c) = 4*c - 5. Let l(p) = n*z(p) + w*a(p). Calculate l(6).
7
Suppose 2*f = 5*f - 3. Let s be 0/1 + f/1. Let t(k) be the first derivative of 2*k**4 + k**2 - k - 33. Give t(s).
9
Let c(a) be the second derivative of -a**4/12 - a**3/3 + 2*a. Let k = 21 + -30. Let y = k - -6. Determine c(y).
-3
Let t(z) = z**2 - 8*z - 6. Let u = 3 + 6. Calculate t(u).
3
Suppose -3*q = 9 + 3. Let a(n) = -n + 4. Let f(p) = -p + 3. Let d(b) = 3*a(b) - 4*f(b). What is d(q)?
-4
Let u(c) = -3 + c**3 + 33*c**2 - 1 - 2*c - 32*c**2 + 1. Give u(-2).
-3
Let j(v) be the first derivative of v**4/4 - 4*v**3/3 - 3*v**2/2 + 8. Give j(4).
-12
Let g(n) be the first derivative of n**4/4 - n**2/2 - 30. Suppose 0 = -r + 6*r. Give g(r).
0
Let u = 14 + -17. Let q(x) = -x**2 - 5*x + 2. What is q(u)?
8
Let n be (2/2)/(2/8). Suppose 0 = 3*l + 1 - n. Let t(d) = 9*d + 1. Determine t(l).
10
Let q(x) = x**2 - 13. Suppose 3*p - p = 0. Let z = p - 0. Determine q(z).
-13
Let y(l) = l**3 - 4*l**2 + 2*l - 2. Let p be y(2). Let c(g) = -g**3 - 5*g**2 + 5*g - 2. What is c(p)?
4
Let l(o) = -3*o - 24 + 15 + 2*o. Calculate l(-8).
-1
Let y = -39 - -44. Let a(m) be the second derivative of 1/20*m**y - 1/3*m**4 + 0 - 2*m**2 - 1/2*m**3 - m. Give a(5).
6
Let n(h) = h**3 + 2 + 0*h**2 - 44*h - h**2 + 43*h. What is n(0)?
2
Let y(n) = n + 1. Suppose -12*s + 25 = -7*s. Give y(s).
6
Let s(v) = 6*v. Let r(y) = -y + 6. Let t be r(5). Let f(p) = 3*p. Let z(m) = -m. Let a(o) = 2*f(o) + 5*z(o). Let l(j) = t*s(j) - 3*a(j). Give l(-1).
-3
Suppose -2*z = -1 - 3. Suppose -m = -2*m + z. Let k(h) = 7 + h**2 + m*h**3 + 0*h**2 - h**3. Give k(0).
7
Let p(u) = -u**2 - u + 4. Let a(t) = t**2 - t + 7. Let o be a(0). Suppose 8 = 5*m - o. Give p(m).
-8
Let l(k) = k**3 - 3*k**2 - 4*k - 1. Let u = -24 - -12. Let z = -8 - u. What is l(z)?
-1
Let d(v) = v**3 - 6*v**2 + 3. Suppose o + 7*o - 48 = 0. What is d(o)?
3
Let p(d) = -4 - 2*d**2 + 11*d**3 - 10*d**3 + 1 - 2*d. What is p(-2)?
-15
Let d(g) be the second derivative of -g**3/6 + 3*g**2/2 + 6*g. Calculate d(-4).
7
Let x(a) be the first derivative of -a**2/2 - 2*a + 1. What is x(-6)?
4
Let p(b) = b**2 - 2*b - 2. Let o(k) = k - 4. Let i be o(7). Suppose 4 = 4*f - i*f. What is p(f)?
6
Let u be (-24)/14*2*49/(-28). Let r(o) = -o**2 + 6*o - 4. Give r(u).
-4
Suppose -y + 4*w - 7 = 0, -2*y - 5*w - 10 = 3*y. Let h(g) = -2*g**2 + 2*g + 1. Determine h(y).
-23
Let w(d) = 2*d - 1. Let v be 1/(2*(-1)/(-12)). Let c(y) = -y + 8. Let k be c(v). Suppose -k*q = -q - 3. Determine w(q).
5
Let i(g) = 2*g**2 - 2*g + 1. Let d(w) = w**3 + 2*w**2 - 2*w + 1. Let u(x) = 7*d(x) - 6*i(x). Let p(a) = -2*a - 7. Let s be p(-4). What is u(s)?
8
Let b(l) = -14*l**2 - 32*l - 6. Let a(t) = 5*t**2 + 11*t + 2. Let d(r) = -11*a(r) - 4*b(r). What is d(-6)?
-4
Let z(c) = c**2 + 2*c - 1. Let k = 5 - 8. Let u be z(k). Let f(r) = r**u + 1 - r + 3*r**2 + r**3 + 0*r - 3*r**2. What is f(1)?
2
Let i(b) = -3*b + 2. Let z(q) = -7*q + 5. Let w(s) = 9*i(s) - 4*z(s). Suppose 5*y = -p + 23, -y + 2 = 4*p + 5. Give w(y).
3
Let f be (-2)/(-7) - 30/7. Let n(r) = r - 3*r + 8 + 3*r. Calculate n(f).
4
Let r(v) = -v - 2*v + 2*v + 22*v**2 - 20*v**2. Let m be (-1)/(-4) - 38/(-8). Suppose m*s - 7 - 3 = 0. Calculate r(s).
6
Let d(n) = -n**2 + 5*n + 1. Suppose -5*j + 23 = 3*t - t, 4*j - 15 = -5*t. What is d(j)?
1
Let i(t) be the third derivative of t**5/60 - t**3/2 - 14*t**2. Suppose v = -2*v - 9. Determine i(v).
6
Let i(w) = -w + 6 - 3 + 2 + 7. What is i(13)?
-1
Let v(l) = l. Let s be (-32)/6 + 8/(-12). Determine v(s).
-6
Suppose -3 = h - 1. Let k(z) be the third derivative of 1/12*z**4 - 1/6*z**3 - 12*z**2 + 0*z + 0. Calculate k(h).
-5
Let r(k) = -k**2 + 3*k - 2. Suppose -7 - 69 = -4*u. Suppose -5*i + u = 4. Give r(i).
-2
Let i(d) = d**3 - 5*d**2 + 2. Let x(k) = k**3 + 5. Suppose 0*o - 5*o = 0. Let p(n) = -n**2 - n. Let u be p(o). Let v be x(u). Calculate i(v).
2
Let z(v) be the first derivative of 1/2*v**2 - 4 - 4*v. Suppose -2*k = -12 + 2. Give z(k).
1
Let b = -13 + 11. Let n(r) = -r**3 - 4*r**2 - 2*r - 1. Calculate n(b).
-5
Let n(x) = -x**2 + 0*x**2 + x + 1 + 0. Let j(o) = -2*o - 9. Let s be j(-6). Suppose -3*h - g + 11 = -6*g, 4 = s*h + 2*g. Calculate n(h).
-1
Let p(t) be the third derivative of t**4/8 + t**3/6 - 2*t**2. Let h(s) = 6*s + 3. Let c(q) = 4*h(q) - 9*p(q). Calculate c(3).
-6
Let x(n) = -3*n**2 - 16*n**2 + n**2 + 1. What is x(1)?
-17
Suppose -5*m + m - 8 = -2*v, 3*v - 4*m = 8. Let n(y) = -4*y + 1. Let i(z) = -z - 5. Let b be i(-8). Let r(g) = g + 1. Let l(q) = b*r(q) + n(q). What is l(v)?
4
Let n(s) = 4*s + 57. Let w be n(-16). Let o(j) = -j**3 - 7*j**2 - 6. Give o(w).
-6
Su | {
"pile_set_name": "DM Mathematics"
} |
, -4, z?
-0.04
Let i = -3 + 3.1. Suppose 0 = 5*w - 2*v - 10, -5*v - 25 = 4*w - w. Which is the third smallest value? (a) w (b) -2 (c) i
c
Let i be (-60)/(-75) + (-2)/5. What is the fourth smallest value in i, -1/23, 0, -3?
i
Suppose -3*u - 9 = -2*u. Let j be u*(-4)/32 + -1. Let z = 0.4 - 0.5. Which is the third biggest value? (a) z (b) -2/3 (c) j
b
Let h(s) = -s**2 + 11*s + 2. Let r be h(11). Suppose -2 = -2*l - 3*n, 8*l = 3*l - r*n - 17. Which is the third biggest value? (a) -3 (b) -0.3 (c) l
c
Let v = 7.06 + -15.08. Let k = v - -0.02. Which is the third biggest value? (a) k (b) -0.4 (c) 0
a
Let q = -153 + 150.2. What is the fourth biggest value in -2/7, 3/5, -2, q?
q
Let r = 451.07 - 448. Let i = -0.07 + r. Which is the third biggest value? (a) i (b) 1 (c) -0.5
c
Let r be ((-20)/6)/(104/1212). Let x = r + 39. Let s = 0.01 + -2.01. Which is the third smallest value? (a) 4 (b) x (c) s
a
Let w = 0.15 - -6.85. Let p(z) = 3*z**3 - 64*z**2 + 17*z + 89. Let n be p(21). What is the second biggest value in 0, n, 0.2, w?
n
Let a = -6349/13 - -488. What is the second smallest value in -3, -5, a?
-3
Let b(i) = -4*i - 80. Let h be b(-19). What is the biggest value in 11, h, 3?
11
Let i be (-16)/(-154) + 2/(-7). Let m = -172 + 268. Let r be 12/m - 23/56. Which is the smallest value? (a) -2 (b) i (c) r
a
Let k = -182 + 187. What is the fourth biggest value in -5, 9, 4, k?
-5
Let f = -1.2 + 16.6. Let l = 2.4 - f. Let i = l + 13.4. What is the second biggest value in -1/8, 1/4, i?
1/4
Let t = -2 - -1.5. Let s = 3.5 + -3. Let l be (-1 - 6/4)/((-1)/(-2)). Which is the third biggest value? (a) t (b) l (c) s
b
Let t be (0 + 4)*(-36)/24. Let s be (t/20)/((-27)/(-36)). What is the second smallest value in 1, -2, s?
s
Let m = 17.1 + -17. Let x = 171/4 + -42. Let n = -74/235 - 4/47. What is the second biggest value in m, n, x?
m
Let d = 0.2 - 1.2. Let q be (1/(-1) + 3)/(-3). Suppose 2*g - 5 = -4*x - 21, -2*g + 20 = -5*x. What is the second smallest value in x, d, q?
d
Let p = 0.305 + -0.505. Which is the third biggest value? (a) 19 (b) 0.5 (c) p (d) -2/5
c
Suppose -4*g - 3*k = 7, 5*k - 41 = 4*g - 10. Which is the fourth smallest value? (a) 1/7 (b) 4 (c) 1/5 (d) g
b
Let k = 82.4 + -83. What is the biggest value in 5, k, 5/2, 3/5?
5
Let d = -1 - -4. Let p be (3/27)/(70/(-84)). Let g = 3902/15 + -260. What is the third smallest value in d, g, p?
d
Suppose 2*j - 4*x = -2, 85*j - 86*j + x + 1 = 0. Let h = -3 - -3.3. What is the second biggest value in h, 0.2, j?
h
Let x(z) = z**2 + 39*z + 42. Let m be x(-38). What is the fourth biggest value in -0.3, 0.01, 0.1, m?
-0.3
Let a be (852/84 - 11) + (-94)/(-126). Let m = -1.1 + 0.1. What is the fourth biggest value in a, -0.3, m, -0.5?
m
Let r = -0.062 - 8.938. Let p = r - -7. Which is the third biggest value? (a) -3/7 (b) 5 (c) -2/41 (d) p
a
Let i = 10 - 6. Suppose 0*o - i = 2*o. Let d = 1.96 + 0.04. Which is the third smallest value? (a) d (b) o (c) -5
a
Let g = -0.171 - -1.171. Which is the smallest value? (a) g (b) 0.6 (c) 5
b
Let k = 791 + -787. Let l = 2.8 - 3. Which is the second smallest value? (a) -4/5 (b) k (c) -0.1 (d) l
d
Let l = -0.011 + -0.117. Which is the biggest value? (a) -2/3 (b) -4 (c) l
c
Let q = -0.321 + -2.679. What is the smallest value in q, 5, 1/3?
q
Let w be 5 + (-2 - 0)*2/2. Let q be 1/(-3) + w/15. What is the fourth smallest value in 5/3, -8/5, q, -1?
5/3
Let o = 1.9 - -0.1. Let i(x) = 13*x + 14. Let h be i(-11). Let m be (-9)/(-15) - h/(-165). Which is the smallest value? (a) m (b) 3 (c) o
a
Let u = -0.01 + -2.99. Which is the second smallest value? (a) 40 (b) 0.4 (c) u (d) 5
b
Let t = 6.93 - 7.03. Which is the third smallest value? (a) 23 (b) 1/10 (c) t
a
Let r be (6/(-4))/(3/(-10)). Let p(x) = 8*x**2 - 1. Let j be p(-1). Let k = 17/2 - j. Which is the smallest value? (a) r (b) -1/20 (c) k
b
Let w(x) = -x. Suppose -24 = 2*g - 5*u, -3*g = 2*u + 2*u - 10. Let m be w(g). Let d be (-3 + 1)*(m + -4). What is the third biggest value in 0, d, 2/3?
0
Let q = 11 + -19/2. Suppose -3*v = -h - 33, -v + 15 = -3*h - 4. Suppose -v*t = -6*t. What is the biggest value in q, t, 2/5?
q
Let p = 1735/3 + -577. Which is the fourth biggest value? (a) 2/15 (b) -3/8 (c) 4/5 (d) p
b
Suppose 5*l = 3*s + 44, -7*l + 3*l + 2*s + 34 = 0. Suppose l = -3*r + 1. Let m be 4/(-99) + r/11. What is the third biggest value in 0.5, m, -2?
-2
Suppose 2*j - i = -61, -65*j + 102 = -69*j - 2*i. What is the third smallest value in j, -0.3, 4/7?
4/7
Let t be 1/((-6)/1)*-2. Let v = 3.43 - 0.03. Let s = v + -19.4. Which is the third biggest value? (a) t (b) s (c) 2/5
b
Let v be (-24)/72 + 4/6. Which is the smallest value? (a) -0.04 (b) v (c) -3
c
Let p = -662 + 667. What is the smallest value in 0.3, p, 2, 74?
0.3
Let u = -17 + 13. Let j be (-3 - u) + 4/(-3). Let x = 7 - 9. What is the second smallest value in -0.2, x, j?
j
Let m = 7.01 - 6.61. What is the fourth smallest value in -0.5, -1/3, m, 6?
6
Let a = 0.7 + 0.3. Let j be 2743/(-1197) + (-24)/(-12). Let f = j - -1/171. What is the second smallest value in -1/5, a, f?
-1/5
Let z = -746 + 751. What is the third smallest value in 20/11, -4, z?
z
Suppose 4*z - h = 188, -h - h + 8 = 0. Let s be (-3)/(-4) + (-52)/z. Let y = 0.1 - 0.2. What is the third biggest value in s, y, 1/3?
s
Let j = -266.3 - -266. Let x = 24 + -43. What is the second smallest value in x, j, 5?
j
Let u = -17 - -13. Let t be 1/u + (-2)/4. Which is the third biggest value? (a) 0.4 (b) 1 (c) t
c
Let q = -5 - 1. Let m = -0.22 + -0.78. What is the third smallest value in -3/2, m, q?
m
Let r = -0.6 - -0.9. Suppose -38*x - 46 = -40*x. What is the third biggest value in x, 1/2, r?
r
Let h = 177 + -173. Which is the third smallest value? (a) h (b) -3/2 (c) 1
a
Let n be (-2)/((-1 - 3)/188). Let d = 468/5 - n. Let p = 6 - 5.5. Which is the second biggest value? (a) 1 (b) d (c) p
c
Let t = -4.3 - -0.3. Let b = t - 0. Let z = b - 1. What is the smallest value in 0.3, -3, z?
z
Let l be (-725)/50 + 2/4. Let o = -3 - l. What is the biggest value in 1, 1/6, o?
o
Let f = -19/21 - -4/7. Let x = -6 + 2.8. Let u = x - -3. Which is the third smallest value? (a) f (b) 0.5 (c) u
b
Let s = -1 + -1. Let z = 2.5 + s. Which is the third smallest value? (a) z (b) 4 (c) -1/4
b
Let l = -297.7 - -298. Which is the fourth biggest value? (a) -4 (b) l (c) -1/2 (d) -0.1
a
Let j = -10/9 - -4/9. Let g = -7 + 4. Which is the second biggest value? (a) g (b) -1 (c) j
b
Let y = 45 + -316/7. Let f(l) = -l + 4. Let k be f(0). Suppose 6 + k = 2*u. Which is the second biggest value? (a) u (b) y (c) -5
b
Let w be 5/10 + 44/112*-2. What is the fourth smallest value in -4, -1, w, -9?
w
Let v(m) = -3*m**2 + m. Let d be v(-1). Let f = -11 + 10. What is the third smallest value in d, -1/3, f?
-1/3
Suppose n - 9 = r, -2*n - r + 6 = -0*n. Which is the smallest value? (a) 13 (b) n (c) -5
c
Let b = 1633 + -1632.5. Let m = 0.06 + 6.94. What is the fourth smallest value in 3, b, -2/11, m?
m
Let p = -473.1 + 473. What is the fourth smallest value in p, 0.1, -2/7, -0.2?
0.1
Let u = 72 + -71.971. Let b = -0.371 - u. What is the second biggest value in 5, -2, b, -5?
b
Let o = 0.1 + 2.9. Let r be 7/6 + -11 + 9. What is the smallest value in -1/2, r, o?
r
Let j = -0.4 + 3. Let u = j + -0.6. Let i = -3878 - -3877. Which is the third smallest value? (a) -2 (b) i (c) u
c
Let o = -10 + 10.28. Let x = -0.82 + 0.94. Let t = x + o. Which is the third biggest value? (a) -3/2 (b) t (c) 2/3
a
Suppose 0 = -3*u + 5*k + 23, -5*u + k = -5 - 4. Let l = 80 - 81. Which is the third smallest value? (a) 3 (b) 1/3 (c) u (d) l
c
Let t(l) = -l**3 + l. Let j be t(-1). Let z = 1.4 - -1.6. Suppose -5*n = -4*d + 12 + 14, 4*n = -8. Which is the second smallest value? (a) z (b) d (c) j
a
Let u = 73.5 - 77.5. Which is the third smallest value? (a) -0.6 (b) -2/7 (c) u
b
Let u(g) = -6*g + 56. Let t be u(13). What is the biggest value in -5, t, 0?
0
Let r = -0.23 + -9.77. Let o = r + 11. Let q = -443/330 + 1/110. Which is the second biggest value? (a) -1 (b) o (c) q
a
Let k be 122/(-18) + 4/(-18). Let b = 12 + -10. What is the second biggest value in 1/11, b, k?
1/11
Let h = 11/12 - 7/60. Let | {
"pile_set_name": "DM Mathematics"
} |
t 28, y, 2 in decreasing order.
28, 2, y
Let i = -4 - -9. Let o = 91 + -76.8. Let d = o + -14. Sort i, -2, d in descending order.
i, d, -2
Suppose 4*v = 26 + 2. Let n(s) = s**2 - 7*s + 8. Let p(a) = -a + 1. Let i(u) = -n(u) - p(u). Let l be i(v). Put 2, -3, l in descending order.
2, l, -3
Suppose 23*q + 180 = 59*q. Put 41, q, 7 in ascending order.
q, 7, 41
Let s(y) = -y**3 - 4*y**2 - 2*y - 1. Let z be s(-3). Let k(t) = 0*t**2 + 2 - 2 + 4*t**2 + t. Let o be k(-1). Put z, o, -3 in increasing order.
z, -3, o
Let y = 65 + -68. Suppose -3*p + 2*p = -2*p. Put 1, -2, y, p in decreasing order.
1, p, -2, y
Let i be (5 - 10) + 6*-3 - -6. Put -4, i, -1, 5 in descending order.
5, -1, -4, i
Let c = -9579.8 - -9580. Let j = -1 + 1. Suppose j*q + 5 = q. Put q, 0.1, c in decreasing order.
q, c, 0.1
Let h(x) = x - 15. Suppose -15*z - 45 = -18*z. Let b be h(z). Sort -2, -3, b, 5 in ascending order.
-3, -2, b, 5
Let i be ((-3)/(-6) - 2)*10/(-15). Let a be -1 - (i - (2 + -3)). Put a, 4, -2/11 in increasing order.
a, -2/11, 4
Let y be (-2)/(-8) + (-52)/16. Let l = 0.36 + -0.06. Put -1, l, 2, y in increasing order.
y, -1, l, 2
Let r(o) = o**2 + 5*o + 2. Let t be r(-5). Let v(q) = -16*q - 223. Let y be v(-14). Sort t, 3, y in increasing order.
y, t, 3
Suppose -x + 11*f = 13*f + 2, -2*f = 2*x. Put -5, 4, -498, x in decreasing order.
4, x, -5, -498
Let b = -17.3 - -15.3. Sort 5, -1.6, b in descending order.
5, -1.6, b
Let o = 3 + -5. Let s(f) = -f**3 - 9*f**2 - f - 4. Let j be s(-9). Suppose -4*v + 0 = k - 14, -3*v - 1 = -j*k. Sort 5, o, k.
o, k, 5
Let j be (3/(-21))/((-15)/35)*-6. Suppose 4 = 2*v + h + h, -10 = 3*v - 5*h. Sort j, 3, 4, v.
j, v, 3, 4
Let a = -11.5 + 16.5. Let q = -46.6 + 40. Let d = q - -7. Put -3, a, d in descending order.
a, d, -3
Let g(z) = 24*z + 131. Let f be g(-8). Sort -1, f, -2 in decreasing order.
-1, -2, f
Let f(l) = l**3 + 6*l**2 + 6*l. Suppose -2*w - 1 = 3*t - 6*t, 3*w - 4*t = -3. Let d be f(w). Sort 9, 2, d in increasing order.
d, 2, 9
Let j = 769 - 763. Sort j, -2/3, -0.5 in descending order.
j, -0.5, -2/3
Let k = 3 + -2. Let g = 683/2268 - 5/324. Put g, -3, -0.2, k in decreasing order.
k, g, -0.2, -3
Let v = -246.6 + 247. Let h = -107 + 964/9. Put v, h, 0 in decreasing order.
v, h, 0
Let c be ((-3)/15)/(4/(-20)). Let b = -12 + c. Sort b, -4, 3 in ascending order.
b, -4, 3
Let v = 403.4 + -403. Put -2/3, v, -1/18 in decreasing order.
v, -1/18, -2/3
Let i(q) be the second derivative of -q**5/4 - q**4/12 + q**3/3 + q**2 - 16*q. Let a be i(-1). Sort -2, 2, a.
-2, 2, a
Let g(o) = -1 - 19 - o + 2. Let z = 39 + -57. Let s be g(z). Sort 5, s, -3 in decreasing order.
5, s, -3
Let i = -88 + 85. Let a(h) = -h**3 - 5*h**2 - 9*h - 9. Let p be a(i). Sort 5, 11, p in descending order.
11, 5, p
Suppose -2*g = 3*n + 1, -g - 2*g - 3 = 4*n. Let k(b) = -b**2 + 9*b - 7. Let a be k(8). Let q = a + 4. Put q, -1, n in decreasing order.
q, n, -1
Let o be 1050/700*(-2)/(-4)*-1. Let t be 0 - (-1 - 22/(-18)). Put o, 5, t in increasing order.
o, t, 5
Suppose -h - 44 = -0*h + g, 76 = -2*h + g. Let x = 25 + h. Sort x, 4, -3 in descending order.
4, -3, x
Let l = -16 - -19. Let k be 5/l - 16/(-12). Let z(r) = 3*r**3 + 2*r - 1. Let f be z(1). Put f, 5, k in ascending order.
k, f, 5
Let g be 6 - (-7)/((-189)/156). Sort 2/17, g, 58, -1 in decreasing order.
58, g, 2/17, -1
Let r be ((-66)/(-3))/(30/5) + -3. Sort r, 2, -3/4.
-3/4, r, 2
Let s be (-6)/9*(-4 - 65/(-20)). Sort s, 2/5, 0.1.
0.1, 2/5, s
Let i(w) = 3*w**3 - 8*w**2 + 19*w + 1. Let q(x) = -2*x**3 + 5*x**2 - 13*x - 1. Let s(l) = -5*i(l) - 7*q(l). Let t be s(4). Sort -1, -3, t in ascending order.
-3, -1, t
Let u be -1 - -30 - (-1 - -5). Let l = u - 29. Suppose -4*h + 1 + 3 = 0. Sort l, h, -5.
-5, l, h
Suppose 4*g - 5*g + 6 = 3*o, 3*o = g. Suppose -k - g = -6. Let l = -6 + 1. Put l, k, -0.05 in ascending order.
l, -0.05, k
Let b(m) = -2*m - 1. Let p be b(-1). Suppose -c = p + 1. Let d = c + -3. Sort -1, d, 1.
d, -1, 1
Let n be 1/2*11/(33/2). Sort n, 0.04, -1 in descending order.
n, 0.04, -1
Suppose -5*g - 2*g = -0*g. Sort 1, 3, g, -8 in ascending order.
-8, g, 1, 3
Suppose -3*b = 3*f - 15, -7*b + 4 = -4*f - 3*b. Suppose 0 = i - 3 + 8. Put -1, i, f in descending order.
f, -1, i
Suppose -14 = 4*q + 2. Suppose 2*a - 5*b = 29, -3*a = -3*b - 9 - 21. Sort 1, q, a.
q, 1, a
Let r = -31 + 32. Let l = 64.71 + -64. Let m = -0.7 + l. Put m, r, -3 in decreasing order.
r, m, -3
Let q = 2 - 1. Let i be q/((-3)/(-2 - -3)). Sort i, -2/17, 1/15 in decreasing order.
1/15, -2/17, i
Let d be 208/(-78)*(-6)/4. Let p be 4/14 + (-37)/7. Put p, -4, d in descending order.
d, -4, p
Let b be 5/(-4) - ((-3176)/(-224) + -15). Let a be 3*-1*(-10)/(-21). Put a, b, -1/4 in decreasing order.
-1/4, b, a
Suppose 0 = -40*o + 59 + 21. Sort -4, -6, o.
-6, -4, o
Let w = -6.47 + 9.47. Put w, -0.2, 57 in decreasing order.
57, w, -0.2
Let z = -2433 + 2415. Put z, -2, -12 in increasing order.
z, -12, -2
Suppose 4*p - 7*p - 5*g = -16, g - 2 = 0. Put -44, -4, p in descending order.
p, -4, -44
Let h be (-49)/7 - (40/8 + -11). Put h, -51, -0.4 in ascending order.
-51, h, -0.4
Let y be 2/((3 + -5)*6/30). Put 20, y, -4 in descending order.
20, -4, y
Let r(s) = -s**3 + 5*s**2 - 3*s - 3. Let u be r(4). Suppose -35*n = -22 - 48. Sort 5, -2, n, u in decreasing order.
5, n, u, -2
Let n = 1 - 6. Suppose -k - 5*w + 5 = -3, 4*k - 16 = -4*w. Put k, 5, -4, n in decreasing order.
5, k, -4, n
Suppose -4*p = 20, 0*h - 2*p = -4*h + 18. Sort h, 4, -1, -89 in descending order.
4, h, -1, -89
Let s = 2007 + -2148. Put -1/3, 2/5, s in descending order.
2/5, -1/3, s
Let a = -139 + 97. Let s = 63 + a. Let j = s + -20.7. Put -1/3, j, -1 in decreasing order.
j, -1/3, -1
Let n = -3 - 7. Let d = 145 + -85. Suppose 16*o + d = 4*o. Sort o, n, 4 in ascending order.
n, o, 4
Suppose -2*d = 3*d - 20. Let t(i) = -i**2 - 7*i + 4. Let k be t(-7). Suppose -k*g = g + 25. Sort 1, d, g.
g, 1, d
Let t = 13 - 14.03. Let g = -0.03 - t. Let i = -1.3 + g. Put i, -1, 1 in increasing order.
-1, i, 1
Let o = -233 - -233. Sort -0.6, -1/3, o, 4/7 in descending order.
4/7, o, -1/3, -0.6
Let x = -236 + 237. Put 4, 29, -2, x in ascending order.
-2, x, 4, 29
Let k = 3 - 6. Suppose -5 = -2*w + w. Suppose r + w*l + 4 + 1 = 0, -r - 4*l = 5. Sort k, r, 1.
r, k, 1
Let l = -382 - -547. Let i = -1813/11 + l. Sort 0, i, -0.02 in decreasing order.
i, 0, -0.02
Let u(p) = p**2 - 5*p - 2. Let z be u(5). Let l = 55 + -103. Let n be 3 - (-39)/l*4. Sort 3, n, z in decreasing order.
3, n, z
Let q(w) = 2*w**2 - 25. Let y be q(0). Let r = -14 - y. Suppose 0*b = 2*l + b - 7, -b = 4*l - r. Sort -3, l, -2/9 in descending order.
l, -2/9, -3
Let u(v) = -3*v**2 + v - 3. Let t be u(1). Let l be (-4)/5*(-15)/(-6). Sort -1, t, 3, l.
t, l, -1, 3
Let y = -2 - 2. Suppose 5*w = x + 21, -x - 29 = -2*x - 5*w. Let a(z) = z - 3. Let q be a(4). Sort q, x, y.
y, q, x
Let s be 5/(-4)*(-1 + -3). Suppose -3*q = 3*k + 45, 2*k + 0*k = -s*q - 90. Let f be 1/3 + q/(-12). Put f, 0, -4 in ascending order.
-4, 0, f
Suppose 5 = -f, 13*i - 8*i + 2*f - 5 = 0. Sort 1, i, -2, -5 in descending order.
i, 1, -2, -5
Let f(h) = -h**2 + 27*h - 77. Let o be f(24). Put -2, 0, o, 3 in decreasing order.
3, 0, -2, o
Suppose f + 2 = 3*l, 0 = 5*f + 2*l - l - 22. Suppose 0 = 3*r - 6*r - 3. Sort -3, r, 1, f in increasing order.
-3, r, 1, f
Let a be ((-27)/6 + 2)*(14 + -16). Put a, -5, 1, 289 in increasing order.
-5, 1, a, 289
Let r = 775 - 759. Sort r, 1/6, 3 in descending order.
r, 3, 1/6
Let w = 6.5 + -7. Let j be (-1)/(-2)*30/(-45). Put j, w, 0.5 in descending order.
0.5, j, w
Let z be (-2)/(2 - (0 - -1)). Let i be 1/z + (-10)/(-8). Let b(h) = h**2 + 65*h - 344. Let u be b(5). Put 0.3, i, u in increasing order.
0.3, i, u
Let x = 0.0288 + 2.9712. Sort 77, x, 4 in increasing order.
x, 4, 77
Let h = 48.9 + -36.9. Put 4, -5/2, h in increasing order.
-5/2, 4, h
Let g = -1320 + 1317. Suppose 3 = t - d + 3*d, 4*t + 4*d = 16. Suppose 0 = j + c - 4*c + t, -4*j + 3*c = 20. Sort g, -2, j in descending order.
-2, g, j
Let i = 5.01 + -0.01. Let n = 41 + -51. Let t be 185/225 - (-6)/n. Sort i, 1/4, t.
t, 1/4, i
Let x be -3 + (18/(-3))/(-2). Let v(t) be the second derivative of -t**5/20 + 7*t**4/12 - t**3 + t**2/2 + 5*t. Let z be v(6). Sort -4, z, x in descending order.
z, x, -4
Let l = 395 | {
"pile_set_name": "DM Mathematics"
} |
3 + 41*a**2 - 68*a + 34. What is the thousands digit of i(38)?
1
Suppose 5*a + 0*a = 2035. What is the units digit of a?
7
Suppose 4*j - 860 = -2*d, -7*j + 4 = -10. What is the hundreds digit of d?
4
Suppose 2*r + 4*m = 72, -r = -2*r + 4*m + 30. Let s = r - 9. Suppose -11 = -4*i + s. What is the units digit of i?
9
Let s be -2 + 3/1 - 0. What is the tens digit of ((-1)/2)/(s/(-46))?
2
Let t(f) = 2*f**3 - 12*f**2 + 12*f - 6. Let c be t(5). Let n(l) = 2*l**3 + 3*l + 5. What is the hundreds digit of n(c)?
1
Suppose w + 40 = 5*y - 7, -5*w + 4*y - 214 = 0. Let d = 17 + w. Let n = 40 + d. What is the units digit of n?
5
Let l(w) = -w**3 - 8*w**2 + 9*w + 4. Let r be l(-9). Let n = 0 - r. What is the tens digit of (0 + (-19)/4)*n?
1
Let i = 155 - 605. Let z = -1 - 3. What is the units digit of (z/10)/(10/i)?
8
What is the hundreds digit of (-17066)/(-6) - (12 - (-352)/(-33))?
8
What is the units digit of 5/(10/6)*(-23841)/(-27)?
9
Suppose -d + 6 + 18 = -h, d - 42 = -5*h. Suppose 5*m + 4*j - d = -7, 10 = 2*j. What is the units digit of (m + 1)/((-11)/(-253))?
3
Let r(z) = -2*z - 4. Let m be r(-4). Let x(f) = f**3 + 3*f**2 - f - 1. Let d be x(-2). Suppose -o - o - 55 = -3*h, m*h - 85 = d*o. What is the tens digit of h?
1
Let x(y) = 4*y**3 - 2*y**2 + 4*y - 1. Let q be x(4). Let r = -168 + q. What is the units digit of r?
1
What is the hundreds digit of (3*33/(-18) - -3)*-274?
6
Suppose -2*a - 4*p - 9 = -3, 0 = -3*p - 6. Let n be (-3)/2*(-1 - a). What is the units digit of (-1)/(-3) + 23/n?
8
Suppose 30 = 4*o + 10. Suppose -4*w + 66 = o*i - 358, 0 = -w + 2*i + 93. What is the tens digit of w?
0
Suppose 16 = 4*q, -2*d + 5*q - 1120 = -3438. What is the tens digit of d?
6
Let r = 320 + -186. What is the tens digit of r?
3
Let i(u) = -2*u**3 + 4*u**2 - 3*u + 1. Let n be i(2). Let h(x) be the first derivative of 4*x**3/3 + 3*x**2/2 - 10*x + 37. What is the tens digit of h(n)?
7
Let w = 59 - -11. What is the units digit of w?
0
Let h(v) = 62*v**2 - 5*v - 2. What is the hundreds digit of h(3)?
5
Suppose 37 - 29 = -8*k. Let t be ((-2)/3)/(4/(-138)). Let b = k + t. What is the tens digit of b?
2
Suppose 490 = 5*n - 10*n. Let o = n + 172. Suppose 5*r - 146 = o. What is the units digit of r?
4
Let s be (483/4)/(4/(-96)*-9). Suppose -9*i = -2*i - s. What is the units digit of i?
6
Let d(n) = -2*n - 5. Let x be d(-5). What is the tens digit of (4 - x)/(3/(-171))?
5
Let s = 1874 + -860. What is the thousands digit of s?
1
Suppose -5*x + 20 = 0, -x = 4*t - 24 - 288. Let y = 141 - t. What is the units digit of y?
4
Suppose -28*a + 22*a + 1290 = 0. What is the tens digit of a?
1
Let q(s) be the third derivative of s**4/12 + 35*s**3/3 - 20*s**2. What is the units digit of q(0)?
0
Let z = -42 + 32. What is the units digit of 172/z*(-15)/6?
3
What is the hundreds digit of 2/3 - (-6545)/15?
4
Suppose 17665 = 5*y + p, 2*p - 115 = -y + 3418. What is the thousands digit of y?
3
Suppose 32 = -5*y + 17. What is the hundreds digit of (1*(-3)/(-6))/(y/(-666))?
1
Let y = -3 + 8. Suppose 2*s - y*s - 21 = -3*c, -3*c + 25 = -4*s. Suppose -2*m + 26 = c*f, 0 = -4*f + m + 4*m + 73. What is the tens digit of f?
1
Let c(k) = -4*k - 36. Let d be c(-9). Suppose d = -8*p + 13*p - 250. What is the units digit of p?
0
Suppose 5*p + 4155 = 11755. What is the hundreds digit of p?
5
Let n(q) = -q**3 - 13*q**2 - 3*q - 38. Let k be n(-13). Let b(r) be the first derivative of 9*r**2 - r - 1. What is the units digit of b(k)?
7
What is the tens digit of 1/(-3) - 1239184/(-246)?
3
What is the hundreds digit of 12 + 413/(-35) - 11994/(-5)?
3
Let o be (-2)/(-3)*(-351)/18. What is the units digit of (-91)/28*(o + 1)?
9
Let b(y) = y**3 + 14*y**2 + 13*y + 18. Let w be (-2)/(-1 - -3) - 12. Let h be b(w). Suppose -68 = -5*m - h. What is the tens digit of m?
1
Let y = 8 + -3. Let n be 8/(-20) - (-132)/y. Suppose -111 + n = -5*h. What is the tens digit of h?
1
Let x = -28 - -30. What is the tens digit of ((-130)/5)/(x/(-8))?
0
Suppose -3*a + 5*z - 4 + 26 = 0, 0 = -a - 2*z. Suppose -4*l + a*n = -28, 6*n = -3*l + n - 19. What is the units digit of l?
2
Let q(l) = -l**3 + 4*l**2 + 9*l - 18. Let w be q(6). What is the units digit of (-27)/w - 387/(-12)?
3
Let q be (-1 + (0 - 1))/(10/(-215)). What is the hundreds digit of 42/(-7)*q/(-2)?
1
Let i(j) be the third derivative of -j**6/120 - j**5/60 + j**4/3 + 2*j**3/3 + 3*j**2. What is the units digit of i(-6)?
6
Suppose 4*u - 36 = u. Suppose 0 = 4*g - 61 - 143. Let d = g - u. What is the units digit of d?
9
Suppose 3150 = 6*a + a. Suppose -a = -3*j + 2*f + 2*f, -3*j + 3*f = -447. What is the tens digit of j?
4
Suppose -k - 173 = -1225. What is the units digit of k?
2
Let l(y) = y**3 - 12*y**2 + 12*y - 3. Let v be l(11). Let s(g) = -g**2 + 6*g + 8. Let m be s(v). Let t = m - -16. What is the units digit of t?
8
Let a(m) = 23*m**2 - 24. What is the units digit of a(-5)?
1
Let u(l) = -l**2 - 23*l - 7. Suppose h = 5*y - 42, 3*h - y = -6*y - 46. What is the tens digit of u(h)?
1
Let q be 1/(-4) - 41/(-4). Let z be (-2409)/(-55) + 2/q. Let x = 70 - z. What is the units digit of x?
6
Let k be ((-6)/8)/((-9)/36). Suppose 506 = 5*y + h, -2*y - k*h - h = -188. Let f = y + -56. What is the units digit of f?
6
Let r be (-5)/((3/5)/(-3)). Let j be 68/(-10) - 5/r. What is the tens digit of (j - -24)*4/2?
3
What is the tens digit of 2*(-12)/(-24)*1458?
5
Let p be ((-3)/(-9))/((-3)/(-117)). Let k = -10 + p. Suppose h + 45 = 5*b, k*h + 2 - 17 = 0. What is the tens digit of b?
1
Let c be 12/(-8)*-2 + 6/(-2). Let j be (-6)/15*(-215)/1. Suppose j = -c*p + 2*p. What is the units digit of p?
3
Let g(k) = 9*k**3 - k**2 + 2*k. Suppose -3*f + 2*y - 65 = 0, -2*y + 23 = -f - 0*y. Let j = f + 22. What is the tens digit of g(j)?
1
Let d(p) = -p**2 - 41*p - 17. What is the units digit of d(-12)?
1
Let b(j) = -j - 7 - 206*j**2 + 215*j**2 + 1 + j**3. Let c be b(-9). Suppose -77 + 232 = 5*z + d, c*z + 2*d = 100. What is the units digit of z?
0
Let f = 1159 + -684. What is the hundreds digit of f?
4
What is the units digit of (442/(-130))/(2 + 311/(-155))?
7
Let z(x) = -2*x**3 + 17*x**2 - x - 54. What is the units digit of z(-8)?
6
Suppose 0 = f + 5*c - 35, 4*f - 4*c + 8*c = 92. Suppose -19 = l - 2*q - 0*q, 2*l - 5*q + 34 = 0. Let n = f - l. What is the units digit of n?
7
Let k = -52 + 144. Suppose -2*n = -k - 0. Let p = n - -13. What is the units digit of p?
9
Suppose 63 = 17*s - 787. What is the tens digit of s?
5
Let g = 1889 + -1116. What is the units digit of g?
3
Suppose 5*s - 315 = 5*f, -7*s + 365 = -2*s + 5*f. Let i = 65 + s. What is the hundreds digit of i?
1
Let b be (-45000)/(-130) + 2/(-13). Suppose 4*r + 2*z = -0*z + 278, 5*r - b = -4*z. Suppose f - 3*f = -r. What is the tens digit of f?
3
What is the hundreds digit of 7/21*9 - -514?
5
Suppose -4*y - 2*x = -290, -2*x - 40 = -4*y + 238. What is the tens digit of y?
7
Let u(n) = -n - 14. Let k be u(-13). Let m(c) = -c**2 + 1. Let a be m(k). Suppose a = -0*d + d - 60. What is the units digit of d?
0
Let l = 224 - 80. Suppose -64 = t - l. What is the units digit of t?
0
Suppose -174 = -h - 2*r, -h = -4*h - 3*r + 507. What is the units digit of h?
4
Suppose -13*x + 23252 + 57 = 0. What is the thousands digit of x?
1
Suppose 2*k = 3*x - 84 - 92, 5*x = 3*k + 295. Suppose 0 = -3*u + 5*u - x. Suppose 4*s + u = 255. What is the tens digit of s?
5
Let c(y) = -17*y + 267. What is the units digit of c(-14)?
5
Suppose 0 = 2*o - 5*u - 10, 3*o + 0*o - 2 = u. Suppose -4*j - 5*l + l - 8 = o, 0 = j + 5*l + 22. Let m = j - -18. What is the tens digit of m?
2
Let v(a) = a**2 - 7*a + 1001. What is the thousands digit of v(0)?
1
Let f = 2857 - 1487. Let j = -978 + f. What is the tens digit of j/22 - 16/(-88)?
1
Let g(i) = i**3 - 2*i**2 + 7*i - 42. What is the hundreds digit of g(9)?
5
Suppose 4*g - 3381 = -3*x, 3*g - 314 - 2228 = -x. What is the units digit of g?
9
Let s(w) = -2*w - 1. Let h(t) = t**2 - 6*t - 8. Let z be h(7). Let p be s(z). What is the units digit of p*-3*3/(-9)?
1
Let r be (-297)/(-1) - (-2)/(-2). Suppose -9*q = -919 - r. What is the tens digit of q?
3
What is the units digit of (-16063)/(-5) - (-144)/(-90)?
1
Let y = 86 - 61. Suppose y + 16 = u. What is the tens digit of u?
4
Let j = 5819 - 3798. What is the units digit of j?
1
Suppose -4* | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of 9 and x.
3
Let y be 54/2*(-2)/(-6). Let o(t) = 2*t + 2. Let q(n) = n + 1. Let x(b) = -6*o(b) + 11*q(b). Let z be x(-4). Calculate the highest common factor of z and y.
3
Let c = 146 - 102. Calculate the greatest common divisor of 4 and c.
4
Let i(n) = -4 + 3*n**2 - 2*n**2 + 0*n**2 + 2*n. Let t be i(-4). Suppose -t*o + 80 = 4*w, 10 = 2*w + 4. Calculate the highest common divisor of 34 and o.
17
Suppose 25 = 11*o + 14. Calculate the greatest common factor of o and 8.
1
Suppose 59 = 8*g - 221. Calculate the greatest common divisor of 385 and g.
35
Let h(r) be the first derivative of 7*r**3/3 + r**2/2 + 4*r + 4. Let d be h(-3). What is the greatest common factor of 8 and d?
8
Let b be (-88)/(-14) + 6/(-21). Let k = 15 - b. What is the greatest common factor of k and 3?
3
Let k(y) = y + 1. Let l be k(-7). Let c = 38 + l. Calculate the greatest common factor of c and 8.
8
Let h(n) = -31*n**3 + 2*n**2 - 2*n + 1. Let m be h(1). Let x = -19 - m. Calculate the highest common divisor of 11 and x.
11
Let v = 3 + 13. What is the highest common divisor of 4 and v?
4
Suppose 0*w = -w + z + 2, 4*w + 3*z + 6 = 0. Let b be (w + 0)*(-4)/(-8). Suppose -a + 12 = -b*a. Calculate the highest common factor of 12 and a.
12
Suppose -t = t + 4*n - 4, -3*t + 27 = -n. What is the greatest common factor of 16 and t?
8
Let c be 1 - (0 + 0 + 0). Let x be 2 + c - (-5)/(-5). What is the greatest common divisor of x and 1?
1
Suppose -3*a + 4*i = i - 327, a - 5*i = 97. What is the highest common factor of a and 7?
7
Let o be (0 + -21)*24/(-9). Let f = 49 - -7. Suppose -4*q + f = -0*q. What is the highest common factor of o and q?
14
Let o(z) = -z**3 + 19*z**2 + 42*z + 22. Let a be o(21). Calculate the greatest common divisor of a and 44.
22
Let z(n) = 21*n - 21. Let f be z(7). Calculate the highest common divisor of f and 21.
21
Let n = 148 - 100. Calculate the highest common factor of 80 and n.
16
Let m(d) = -d**3 + 8*d**2 - 3*d - 15. Let r be m(5). What is the highest common factor of r and 5?
5
Suppose -47 - 23 = -5*b. Let n(c) = 11*c + 4. Let z be n(6). What is the highest common divisor of z and b?
14
Let b(s) = 19*s**2 + 1. Let m be b(1). Let h(d) = -2*d**3 - 3*d**2 + 7*d - 2. Let a be h(-4). Calculate the greatest common divisor of a and m.
10
Let i be -6 + -3*(-1)/3. Let s = 4 - i. Calculate the greatest common divisor of 36 and s.
9
Suppose 0 = 30*q - 26*q - 680. Suppose 0 = 3*t + 6, 2*n + t = 4*n - 70. What is the greatest common divisor of n and q?
34
Suppose -3*w - 107 = -338. Suppose -n = -4*t + 48, -t + 8 = -3*n - 15. Calculate the greatest common factor of t and w.
11
Let d be (-3)/(0 + -3) - -14. Let m be d*(0 + (-6)/(-9)). What is the highest common factor of m and 15?
5
Suppose q = -51 - 65. Let o be q/(-6) + 4/6. Suppose 2*d = -0*d + o. Calculate the greatest common divisor of 110 and d.
10
Let c = -5 + 7. Let r be ((-15)/3)/(c/(-44)). Let y(a) = a**2 + 7*a + 16. Let j be y(-6). Calculate the greatest common divisor of j and r.
10
Let u be (-9)/(-2)*(-20)/(-6). Let r = 5 - 1. Suppose 1 = p - r. What is the highest common factor of u and p?
5
Let j be 2/(-4)*133*2. Let g = j - -265. Calculate the greatest common factor of g and 12.
12
Suppose z - 5*c - 4 = -3*z, -3*z + c = -3. What is the greatest common divisor of 7 and z?
1
Let k(p) = p**3 + 6*p**2 + 3*p - 7. Let n be k(-5). Let f = n + 0. Suppose s + 40 = 4*o, 2*o - 15 - 23 = 5*s. What is the greatest common factor of f and o?
3
Let i be ((-16)/(-10))/((-96)/(-240)). Let q = 27 + 1. What is the highest common factor of q and i?
4
Let o(g) = -5*g + 56. Let b be o(-14). Calculate the highest common factor of 42 and b.
42
Suppose 5*p = 5*q - 135, -p = -q - 4*p + 31. What is the greatest common divisor of q and 42?
14
Let j(u) = u + 7. Let i be j(-6). What is the greatest common factor of i and 11?
1
Suppose -8*v + 105 = -5*v. Calculate the greatest common divisor of v and 7.
7
Let x(f) = -2 - 4*f - 1 + 2*f. Let y be x(-3). Suppose 16 = n + y*n. Calculate the highest common divisor of 8 and n.
4
Suppose j = 1 + 1. Suppose 0*z - 8 = -j*z. Let s be 1*197 + z + -3. Calculate the greatest common factor of s and 18.
18
Let y be 1/4 + (-15)/(-4). Suppose 81 = -y*v + 281. Suppose -l + 57 = 3*f, -3*l - 52 = -5*f + 57. Calculate the highest common factor of v and f.
10
Let k(g) = -2*g**3 - 3*g**2 - g. Let i be k(-2). What is the greatest common divisor of 66 and i?
6
Let n = 5 - -14. Calculate the greatest common divisor of n and 95.
19
Suppose 2*m = -2*m + 5*v, v = -3*m. Suppose m*u = -u + 96. What is the greatest common factor of 12 and u?
12
Let r be 6 + (-3)/(2 - -1). Suppose 0*h - r*h = -10. Let g(z) = -z**3 + 3*z**2 + z - 1. Let k be g(3). Calculate the highest common factor of h and k.
2
Suppose 4*p - b + 1702 = 0, -2*b - 2121 = -p + 6*p. Let z = -146 - p. Suppose -u + 0*s + 141 = s, s = 2*u - z. What is the greatest common factor of 20 and u?
20
Suppose 4*h - 21 + 5 = 0. Suppose -4*f + 3*r + 7 = 0, -3*f + 0*r + 2*r = -6. What is the highest common divisor of h and f?
4
Let r(i) be the third derivative of i**5/60 + i**4/24 - 2*i**3/3 - i**2. Let x be r(-3). What is the greatest common divisor of 16 and x?
2
Suppose -5*w = y - 28, 3*y + 1 = -0*w + 2*w. What is the highest common divisor of 27 and y?
3
Let f = 2 - 0. Suppose -4*p = 3*m - 138, f*p = -5*m - 0*m + 62. Let g = p - 26. Calculate the greatest common factor of 5 and g.
5
Let l = 244 + -108. Calculate the greatest common factor of l and 17.
17
Let j(q) = 11*q**3 - 2*q**2 - 2*q. Let s be j(2). What is the greatest common divisor of s and 19?
19
Suppose 4*q - q - 27 = g, 0 = q - 5*g - 23. Calculate the greatest common factor of 40 and q.
8
Let l = -6 - -1. Let w be (0/2 + l)*-3. What is the greatest common divisor of 15 and w?
15
Let t = 29 - 15. What is the highest common factor of t and 126?
14
Suppose 3*c + 2*c = 120. Let y(a) = -a**3 + 6*a**2 + 2*a + 1. Let l = 14 - 9. Let i be y(l). Calculate the highest common factor of c and i.
12
Suppose 25 = 2*w - 5. Let t(c) = -c**3 + 6*c**2 + 2*c + 3. Let l = -29 - -35. Let f be t(l). Calculate the highest common factor of w and f.
15
Let m(y) = -13*y + 17. Let d be m(-8). Let a be (-2)/(-4) - (-63)/6. Calculate the highest common factor of a and d.
11
Let x(y) = 242*y. Let r be x(1). Suppose -4*t + 78 = -r. Calculate the highest common factor of 16 and t.
16
Let s(c) = c**2 - 4*c. Let x be s(6). Calculate the highest common divisor of x and 96.
12
Let j be (1 - -3)*(-10)/(-1). Suppose g + g = 2. Let h be -3 + 2 - -17*g. What is the greatest common divisor of j and h?
8
Let t be 68/(-4)*(2 - 3). Calculate the highest common divisor of t and 187.
17
Suppose a + 2*b = 65, -3*a + 90 + 65 = -2*b. What is the greatest common divisor of 5 and a?
5
Suppose 0 = 2*z + 2*z - 12. Let l be 5/3 - (-1)/z. Let b be (-3)/(-6)*l*27. What is the highest common factor of b and 9?
9
Let f(d) = -d + 17. Let c be f(7). Suppose -3*r - t = -12, 4*r - c = 4*t + 22. Suppose 21 = r*y - 39. Calculate the greatest common divisor of 18 and y.
6
Let x(z) = -47*z - 9. Let o be x(-2). Calculate the highest common divisor of o and 5.
5
Let m = -10 - -45. Let u = 52 + -37. Let x be u/(-10)*(-84)/9. Calculate the highest common divisor of m and x.
7
Let c = 124 - 71. Let g = 139 + c. Calculate the greatest common factor of g and 24.
24
Suppose -4*n + 24 = -56. Suppose 4*a = 3*a - 2*g + 10, 0 = 4*a - 5*g - 1. Let v = n + a. Calculate the greatest common divisor of v and 16.
8
Let r(s) = s**2 - s + 16. Let p be r(-7). Suppose -i + 2*i = p. Let n be 6/(-2) + 2 + 19. What is the highest common factor of i and n?
18
Let g be -1*(-3 - -4) + 17. Calculate the highest common divisor of g and 96.
16
Let y = 24 - -16. Let l = -1 + 9. What is the greatest common factor of y and l?
8
Let u be (4/5)/(7/35). Let p be (24/u)/(2/2). Let v(c) = 3*c - 9. Let h be v(p). Calculate the greatest common divisor of h and 72.
9
Let s(d) = 10*d + 38. Let l be s(5). What is the highest common factor of l and 11?
11
Let v = -2 - -7. Let s(g) = 3*g + 3. Let t be s(v). Calculate the greatest common divisor of t and 45.
9
Suppose 11*c = 17*c - 60. Calculate the greatest common divisor of c and 10.
10
Let s(q) = 4*q**2 + 9*q - 5. Let z be s(5 | {
"pile_set_name": "DM Mathematics"
} |
rivative of 5 - w**y - 2 + 0*w**4 wrt w?
-4*w**3
Suppose -5*f - 20 = -t - 2*f, -24 = -4*t - 2*f. Find the second derivative of -2*z - t*z + 12*z + 4*z**2 wrt z.
8
Let y(l) be the second derivative of -3*l**6/10 - 5*l**4/12 - 4*l. What is the third derivative of y(p) wrt p?
-216*p
Let n(a) be the third derivative of a**7/280 - a**5/40 + a**3/3 - a**2. Let x(f) be the first derivative of n(f). What is the second derivative of x(r) wrt r?
18*r
What is the derivative of 0*o**2 - o**2 - o**2 - 10 - 11*o**2 wrt o?
-26*o
Let q(s) be the second derivative of -s**6/60 - s**5/30 - s**2/2 + 3*s. Let t(x) be the first derivative of q(x). What is the third derivative of t(i) wrt i?
-12
Suppose -11 = 3*h + 5*j, h + 3*j = -2*j - 17. Let t(y) be the first derivative of -h + y - 3/2*y**2. Differentiate t(c) with respect to c.
-3
Suppose -3*r = -r + 5*w - 43, -53 = -4*r + w. Suppose -5*d = -1 - r. What is the third derivative of -3*q + q**6 + q**2 + d*q wrt q?
120*q**3
What is the second derivative of -2*i**3 - 4*i + 6*i + i**3 + 2*i**3 wrt i?
6*i
Let o(c) be the first derivative of 3 - 5/4*c**4 + 0*c - 3/2*c**2 + 0*c**3. What is the second derivative of o(g) wrt g?
-30*g
Let s(p) = p**2 + 3*p + 7. Let m(y) = -y**2 - 4*y - 8. Let t(f) = -3*m(f) - 4*s(f). Find the first derivative of t(n) wrt n.
-2*n
Find the second derivative of 2*s - 2*s**2 + 8*s**2 - 4*s - 6*s wrt s.
12
Let d(k) = 3*k**4 - 6*k**3 + 6*k - 2. Let u(v) = -6*v**4 + 13*v**3 - 13*v + 5. Let r(m) = 13*d(m) + 6*u(m). Find the first derivative of r(z) wrt z.
12*z**3
Let r = -12 + 17. What is the third derivative of -10*p**2 - 2*p**r + 4*p**5 - 5*p**5 wrt p?
-180*p**2
Let l(b) = 3*b**2 - 4*b**2 - 2 - 5*b + 0. Let w be l(-2). Find the third derivative of -4*o**4 + 0*o**2 - 2*o**2 + 5*o**w wrt o.
24*o
Let x(f) be the first derivative of -10*f**3/3 + 5*f - 9. What is the derivative of x(j) wrt j?
-20*j
Let y(h) be the first derivative of -h**7/840 - h**5/40 - 5*h**3/3 - 3. Let z(q) be the third derivative of y(q). What is the second derivative of z(b) wrt b?
-6*b
Let t(z) be the second derivative of 17*z**7/42 + z**4/6 - 18*z. Find the third derivative of t(a) wrt a.
1020*a**2
Let z(n) be the first derivative of 0*n**6 + 2/3*n**3 - 5 + 6/7*n**7 + 0*n**5 + 0*n**4 + 0*n + 0*n**2. Find the third derivative of z(k) wrt k.
720*k**3
Let c(h) be the first derivative of 3*h**5/5 + h**4/2 - 10*h**3 - h**2 - 32. What is the third derivative of c(p) wrt p?
72*p + 12
Let a(y) = -2*y + 5. Let c be a(0). Find the second derivative of -c*w - 4*w - 4*w**3 + 14*w + 2*w**3 wrt w.
-12*w
Let m(h) be the third derivative of h**8/3360 + h**6/180 + 7*h**5/60 + 7*h**2. Let r(y) be the third derivative of m(y). What is the derivative of r(b) wrt b?
12*b
Let x(z) = z**6 + z**5 - z**3 - z - 1. Let q(y) = 7*y**6 - y**5 + y**3 - 7*y**2 + y + 1. Let o(u) = q(u) + x(u). What is the third derivative of o(a) wrt a?
960*a**3
Let g(b) be the second derivative of -b**7/3 - b**5/10 + 9*b**4/2 - 52*b. What is the third derivative of g(o) wrt o?
-840*o**2 - 12
Let j(d) be the second derivative of d**10/30240 + d**7/840 + d**4/4 + d. Let o(u) be the third derivative of j(u). What is the third derivative of o(h) wrt h?
60*h**2
Suppose 26*b - 29*b - 3 = 0. Let d(g) = g**2. Let x(m) = m**2 - 3*m. Let r = 0 + 5. Let f(p) = b*x(p) + r*d(p). What is the second derivative of f(n) wrt n?
8
Let b(z) be the third derivative of 11*z**7/70 - z**5/4 + 33*z**2. Find the third derivative of b(t) wrt t.
792*t
Let m be (-14)/(-3) + 2/6. Suppose m*l - 5 = 2*h - 7*h, 4*h = -3*l + 2. Differentiate -3*y + y - 1 - l*y wrt y.
-4
Let l(a) be the first derivative of -a**6/3 - 5*a**2 + 18. Find the second derivative of l(y) wrt y.
-40*y**3
Let c = -19 - -21. Find the first derivative of 2 - 4*u**4 - 6 + 8 - c*u**4 wrt u.
-24*u**3
Let a = 0 + 1. Suppose a = -2*u + 5. What is the derivative of -1 + 14*p - 3*p**u - 14*p wrt p?
-6*p
What is the third derivative of -3*g**3 - 9*g**2 + 5*g**2 + 3*g**2 wrt g?
-18
Find the first derivative of 17 - 248*a**3 + a**4 + 248*a**3 wrt a.
4*a**3
Find the second derivative of 12*m - 12*m**2 - 6 + 7 - 1 wrt m.
-24
Let k be -3 + (2 - (-1 - 0)). What is the third derivative of k*a**2 + 3*a**2 - 8*a**4 - a**4 + 6*a**2 wrt a?
-216*a
Let b = 6 - 3. Differentiate 3*a**4 - a - 2*a**4 + b + a with respect to a.
4*a**3
Let d(l) = 17 - 2 + 4 + 10*l. Let v(w) = -5*w - 10. Let j(t) = 3*d(t) + 5*v(t). What is the first derivative of j(z) wrt z?
5
Let r = -5 - -6. Differentiate z**4 + 0*z**4 + 1 + r wrt z.
4*z**3
Let q(v) be the first derivative of -15*v**4/4 + 3*v**3 - 19. What is the third derivative of q(h) wrt h?
-90
Let i(y) = -y**3 + y**2 - 1. Let f(j) = 9*j**4 - 5*j**3 + 5*j**2 - 5*j - 5. Let l(k) = f(k) - 5*i(k). Find the second derivative of l(x) wrt x.
108*x**2
Let p(c) = c**3 - c**2 - c. Let r(f) = -2*f**3 + 44*f**2 - 8*f. Let w(u) = 8*p(u) - r(u). What is the third derivative of w(t) wrt t?
60
Let y(i) be the second derivative of 0*i**3 + 5/12*i**4 + 2*i + 1/5*i**5 + 0 + 0*i**2. Find the third derivative of y(t) wrt t.
24
Let d be 2 + (0 - -1) + 9. Suppose -2*b - 2*b + d = 0. Differentiate 3*j - 3 - b*j + j**4 wrt j.
4*j**3
Find the third derivative of 6*u**3 + 4*u**2 - 16*u**2 - 16*u**3 wrt u.
-60
Let g(q) be the second derivative of q**7/21 - q**4/12 + q. Find the third derivative of g(b) wrt b.
120*b**2
Suppose 0 = 2*q - 8 + 2. Let c(w) = w + 1. Let t(u) = 4*u + 8. Let v(g) = q*t(g) - 21*c(g). Differentiate v(o) with respect to o.
-9
Let c(l) be the third derivative of -l**5 + 26*l**3/3 + 55*l**2. What is the first derivative of c(z) wrt z?
-120*z
Let q(s) be the second derivative of -s**9/3024 - s**5/40 + 3*s**4/4 + 3*s. Let w(o) be the third derivative of q(o). Find the first derivative of w(v) wrt v.
-20*v**3
Let d(h) = -h + 6*h + 3*h**2 - 3*h - 3*h. Let u(f) = 3*f**2 - f. Let i(r) = -3*d(r) + 4*u(r). What is the second derivative of i(c) wrt c?
6
Let r(w) = -12*w + 18. Suppose -a = -4*k, 15 = 5*k - 0*k - 5*a. Let s(p) = -p + 1. Let y(u) = k*r(u) + 9*s(u). Differentiate y(l) with respect to l.
3
Let u = 15 + -3. Suppose 3*m = -m + u. Find the third derivative of -2*g**4 - 2*g**3 + 2*g**m + g**2 wrt g.
-48*g
Let i(g) be the second derivative of g**5/20 + g**4/3 + 3*g**2/2 - 10*g. Let b(z) be the first derivative of i(z). Find the second derivative of b(u) wrt u.
6
Let g(y) be the first derivative of 25*y**2/2 + 8*y + 43. Differentiate g(v) with respect to v.
25
Suppose -5*n = -19 - 11. Suppose -a = -n*a + 10. Find the third derivative of -3*m**2 + 3*m**2 + 4*m**a - 2*m**4 - 2*m**2 wrt m.
-48*m
Suppose 3*j = 7*j - 20. Let x(f) be the third derivative of -1/3*f**3 + 0 + 0*f**4 + 0*f - 3*f**2 - 1/60*f**j. Differentiate x(p) wrt p.
-2*p
Suppose 3*y = -2*u + 13, -7 = -4*y - u + 7. What is the first derivative of -2 + 2 - d - y + 0 wrt d?
-1
Let l be (13 - (2 - 3))/2. Suppose 3*b + 3 = -j + 4*b, -j - b = -l. Find the second derivative of j*v - 4*v**2 + v**5 + 4*v**2 wrt v.
20*v**3
Let t(y) be the third derivative of -3*y**4/2 + 8*y**3/3 + 17*y**2. What is the derivative of t(q) wrt q?
-36
Let q(o) be the third derivative of -o**8/336 + 7*o**6/30 + o**4/12 + o**3/3 + 53*o**2. What is the second derivative of q(v) wrt v?
-20*v**3 + 168*v
Find the third derivative of -o**4 - 55*o**2 + 44*o**2 - 5*o**4 wrt o.
-144*o
Let h(c) = 17*c**3 - 3*c**2 + 8*c - 3. Let f(i) = -i**3 + i**2 + i + 1. Let b(t) = -3*f(t) - h(t). What is the second derivative of b(u) wrt u?
-84*u
What is the second derivative of 9*w**5 - 20*w + 173*w**4 - 173*w**4 wrt w?
180*w**3
Let p(c) be the third derivative of -c**6/40 + 5*c**3/6 + 7*c**2. What is the derivative of p(i) wrt i?
-9*i**2
Let h(q) be the third derivative of 4*q**5/15 - 5*q**3/6 + 4*q**2. Differentiate h(k) wrt k.
32*k
Let j(x) = -x**3 + 7*x**2 + 7*x + 5. Let c be j(8). Let a = -3 - c. Differentiate 2 - l**4 + a + 2*l**4 wrt l.
4*l**3
Let o(r) = -7*r**4 - 3*r**3 + 46*r + 3. Let g(u) = 14*u**4 + 5*u**3 - 91*u - 5. Let x(b) = 3*g(b) + 5*o(b). What is the second derivative of x(d) wrt d?
84*d**2
Let h(j) = j. Let i(q) be the second derivative of 0 - 3/2*q**2 + 4*q + 1/3*q**3. Let t(a) = -h(a) - i(a). What is the derivative of t(c) wrt c?
-3
Let a = -24 - -26. Let p(w) be the second derivative of 1/15*w**6 + 0* | {
"pile_set_name": "DM Mathematics"
} |
- 72505*z**2.
240*z**3 - 127704*z + 12
What is the third derivative of 43*d**3*x**2 + 105*d**3*x - 2*d**3 - 3*d**2*x - 1836*d*x**2 wrt d?
258*x**2 + 630*x - 12
What is the second derivative of -716364*p**5 - 3*p**3 - 5*p - 281015?
-14327280*p**3 - 18*p
What is the second derivative of 100*g*u**2 - 25*g*u + 1134*g - 317*u**2 wrt u?
200*g - 634
Differentiate -331908*f**2*x**3 + 2*f**2*x**2 + 62070*x**3 - 2*x**2 + 6*x wrt f.
-663816*f*x**3 + 4*f*x**2
Find the third derivative of 471995*l**3*y**2 - 2*l**3 - 8186*l**2 - 47*y**2 wrt l.
2831970*y**2 - 12
Find the third derivative of 200203*h**3*v**4 + 364*h**3*v - 2*h*v**5 - 18*h*v**2 wrt v.
4804872*h**3*v - 120*h*v**2
Find the second derivative of -538*x**3 - 2*x**2 + 69897*x.
-3228*x - 4
Differentiate 2*b**4 + 59257*b*o**2 - 2967*o**2 - o wrt b.
8*b**3 + 59257*o**2
Find the third derivative of 481*a**6 + 775*a**5 - 2*a**2 - 520549 wrt a.
57720*a**3 + 46500*a**2
What is the derivative of 2*b**3 + 2637*b**2 + b + 744849?
6*b**2 + 5274*b + 1
Differentiate -745*q**3 - 44*q**2 - 770481 wrt q.
-2235*q**2 - 88*q
What is the third derivative of -2*d**3*j**2 + 194924*d**3*j*k**3 + 399*d**2*j**2*k**2 + 2*d**2*j*k**3 + 11*d**2*k wrt d?
-12*j**2 + 1169544*j*k**3
Find the second derivative of -2*i**2*w + 46774*i**2 - 54*i*w - 2*i + 82*w + 7 wrt i.
-4*w + 93548
Find the first derivative of 4*r**4 - 1729*r**3 - 45837.
16*r**3 - 5187*r**2
Differentiate -11*s**4 - 2710*s**2 - 98112 with respect to s.
-44*s**3 - 5420*s
Find the first derivative of -166914*b**2*g*r + 2*b**2*r + 19*b**2 + b*g*r - b*g - 527*b*r wrt g.
-166914*b**2*r + b*r - b
Find the second derivative of -2067631*c**3 - 1515*c - 50.
-12405786*c
Find the second derivative of -23957*l**2*m**2 + l**2 - 7*l*m + 30*m**2 - 55*m + 144 wrt m.
-47914*l**2 + 60
Find the third derivative of 4*c**5*x**3 - 146215*c**3*x**3 - 2*c**2*x**3 - 24*c**2*x**2 + 123*x**3 - 22*x**2 wrt c.
240*c**2*x**3 - 877290*x**3
Find the first derivative of -1729830*h - 1186153 wrt h.
-1729830
Differentiate 30*v**3*w**3*z**2 + 6*v**3*w**3 + v**3 - 990*v*z**2 + 176*w with respect to z.
60*v**3*w**3*z - 1980*v*z
Find the first derivative of 24*j*m*s - j*m - 601*j*s**2 + 4*m*s**2 + 10517*m wrt j.
24*m*s - m - 601*s**2
What is the derivative of -212684*w - 6418?
-212684
What is the second derivative of -2*i**3*n**2 + i**3 + 23*i**2*n**2 - 4*i**2 - 2117*n**3 - n - 232 wrt n?
-4*i**3 + 46*i**2 - 12702*n
What is the derivative of -274888*f**3 - 2*f + 1070702?
-824664*f**2 - 2
Find the third derivative of -84158*k*o**3 - 2*k*o**2 - 2*k*o + o - 14480 wrt o.
-504948*k
What is the third derivative of 1494*f**3*p*r**3 - 3*f**3*r + 5*f**2*p**2 - 123*f**2*p*r**2 - 20*p**2*r**3 - 3*r**2 wrt r?
8964*f**3*p - 120*p**2
Find the first derivative of -121876*f**4 - 19951 wrt f.
-487504*f**3
What is the second derivative of -2*n**2*q*w - 4*n**2*q - 3*n**2*y**2 + 6*n**2 - 46672*n*q*w*y**2 + 28*n*y - w*y wrt y?
-6*n**2 - 93344*n*q*w
What is the second derivative of -35*m**4 + 316*m**2 + 7000*m + 1?
-420*m**2 + 632
What is the first derivative of -21*r**4 - 1351*r**3 - 2871 wrt r?
-84*r**3 - 4053*r**2
Find the second derivative of 9*d**4 + 550*d**3 - 2*d**2 - 55832*d wrt d.
108*d**2 + 3300*d - 4
Find the second derivative of -5*a**2*m**3*n**2 - 2*a**2*m*n**3 + 2*a*m*n**3 + 15762*a*n + 103*m**3*n**3 - 2*m*n**3 wrt m.
-30*a**2*m*n**2 + 618*m*n**3
Find the second derivative of -1032*u**4 - 319*u**3 + 854618*u wrt u.
-12384*u**2 - 1914*u
Find the second derivative of 30*p**3*t**4 - 2799*p**3*t**2 - 65*p**3 - 304*p**2*t wrt t.
360*p**3*t**2 - 5598*p**3
What is the third derivative of -1709350*i**3*m**2 - 14*i**2*m**2 + 205*i**2*m + 3*i**2 - 9 wrt i?
-10256100*m**2
Differentiate -q**2 + 9491*q + 1482256 with respect to q.
-2*q + 9491
Find the second derivative of 55876*q**3*v**2 - q**3*v - 50*q*v - 2*v**4 - 21*v wrt v.
111752*q**3 - 24*v**2
What is the third derivative of -775561*s**3 - 13862*s**2 - 9*s wrt s?
-4653366
Find the third derivative of 60462*u**6 - 41*u**2 + u - 4520 wrt u.
7255440*u**3
Differentiate 185105*a**4 - 3*a**3 - 444446.
740420*a**3 - 9*a**2
What is the first derivative of -1265*u**4 + 2*u**2 + 51*u + 2625361?
-5060*u**3 + 4*u + 51
Find the second derivative of -3*a**2*t**3 - a**2*t**2 - 2120*a**2 + a*t**3 + 15*a*t**2 + 309*t**2 wrt a.
-6*t**3 - 2*t**2 - 4240
Find the second derivative of 10713*r**2*x**2 + r**2 - 76381*r*x**2 wrt r.
21426*x**2 + 2
Differentiate 30142*j**3 + 99176.
90426*j**2
Differentiate -54*p**4 + 632*p**2 + 167171.
-216*p**3 + 1264*p
Differentiate -f**4 + 9*f**2 - 133*f - 4312 wrt f.
-4*f**3 + 18*f - 133
Find the third derivative of -12363*w**3 - 2*w**2 - 19908*w + 1.
-74178
Find the third derivative of 29169*u**5 - 2*u**3 + 101*u**2 + 4*u - 2 wrt u.
1750140*u**2 - 12
Differentiate -53*n**4 + 1829*n*s**2 - 426*s**2 + 283 with respect to n.
-212*n**3 + 1829*s**2
What is the second derivative of -4848733*w**2 - 2078*w - 208?
-9697466
What is the second derivative of -15794*i**2*u**3 + 5*i**2*u**2 - 46*i*u**3 + 64*i - 3*u**2 wrt i?
-31588*u**3 + 10*u**2
What is the derivative of -g**3*j*y + 3*g**3*y**2 - 71534*g**2*j*y**2 - 2*g - j*y + 19198*y**2 wrt j?
-g**3*y - 71534*g**2*y**2 - y
Find the second derivative of -4*d**4 + 11*d**2*k**2 - 451*d**2*k + d*k**2 - 73830*d wrt d.
-48*d**2 + 22*k**2 - 902*k
What is the first derivative of -h*j**2 - 15892*h - 1070651*j**2 wrt h?
-j**2 - 15892
What is the first derivative of 159*h**4*v**2 + 2464*h**4 + 9*v**2 - 5222 wrt h?
636*h**3*v**2 + 9856*h**3
What is the second derivative of -2*k**5 + 59885*k**2 - 2809*k - 16?
-40*k**3 + 119770
Find the second derivative of -12425*n**2*w**3 + 63*n**2*w**2 - 21*n*w**3 + 204*n*w - 3*w**3 - 15*w wrt n.
-24850*w**3 + 126*w**2
Find the first derivative of 18295*j - 26784 wrt j.
18295
What is the third derivative of 459524*v**3 - v**2 - 213*v + 60?
2757144
What is the second derivative of 8294*f**3*i**2 - 2*f**3*l - 2*f*i**2 + 71*f*i*l - f + 2*i wrt f?
49764*f*i**2 - 12*f*l
What is the second derivative of -145522*f**3*i + f**2*i**2 + 60*f*i**2 - 1011*f wrt f?
-873132*f*i + 2*i**2
Find the second derivative of -279510*j**3 + 328571*j.
-1677060*j
Find the third derivative of 6289*r**4 - 2503*r**2 + 2*r + 1.
150936*r
Find the second derivative of -8*q**2*s**2*w - 20261*q**2*s**2 - q*s**2*w - q*s**2 - 304*s**2 - 4*s*w + w wrt q.
-16*s**2*w - 40522*s**2
Differentiate -k**3*u - 9375*k*u - 3512*u - 7 with respect to k.
-3*k**2*u - 9375*u
What is the second derivative of 4*b**2*l**3*q**2 + 2*b**2*l**2 - 2*b*l**3 + b*l + 108*l**3*q**2 + 9966*l**2*q + l**2 + 11*q**3 wrt q?
8*b**2*l**3 + 216*l**3 + 66*q
What is the third derivative of -1919574*p**3 - 54287*p**2 - 2*p wrt p?
-11517444
What is the second derivative of 105042*b**2 - 37567*b?
210084
Find the second derivative of 88*v**4 + 103*v**2 - 466555*v.
1056*v**2 + 206
What is the second derivative of -49*o**4 - 175*o**2 - 2*o - 9692?
-588*o**2 - 350
Find the second derivative of 16385*m**2 - 253484*m - 1 wrt m.
32770
What is the first derivative of -188373*m**3*w + 613*m**3 - 27*m wrt w?
-188373*m**3
Differentiate -40926*u + 17289 wrt u.
-40926
What is the third derivative of 36145*r**4 + 33830*r**2 - r?
867480*r
What is the first derivative of 2*k*v - 4477*k - 185565*v - 1 wrt v?
2*k - 185565
What is the third derivative of 4*o**4 + 45280*o**3 + 56187*o**2 wrt o?
96*o + 271680
What is the third derivative of 49793*a**3 - 308*a**2 - 10*a wrt a?
298758
Differentiate -228912*r**2 + 1203848 with respect to r.
-457824*r
Differentiate h*v*x - 6*h*v + h*x + 2*v*x + 1700*v - 459021*x wrt v.
h*x - 6*h + 2*x + 1700
What is the second derivative of 5812*r**3 + 2*r - 9069 wrt r?
34872*r
Find the first derivative of -11174*m*z**3 - 216492*z**3 wrt m.
-11174*z**3
What is the third derivative of -4*b**2*f**3*t**3 - 7088*b**2*f**3*t + 2*b**2*f + 5*b**2*t + 21*f**2*t**3 - 33*t**3 wrt f?
-24*b**2*t**3 - 42528*b**2*t
Find the second derivative of -9922*x**5 - 80979*x wrt x.
-198440*x**3
Find the first derivative of 2369*c**2*f**3 + 2*c*f**3 + 32457*f**3 wrt c.
4738*c*f**3 + 2*f**3
Find the third derivative of -139977*x**6 - 1773*x**2 - x - 12.
-16797240*x**3
Find the third derivative of 12343*b**6 + 4439*b**2 wrt b.
1481160*b**3
What is the derivative of -21618*l**2*o**2 - | {
"pile_set_name": "DM Mathematics"
} |
+ -20223?
-1212210323
In base 6, what is 144 - 2200520?
-2200332
In base 5, what is -3 + -2013332043?
-2013332101
In base 10, what is -52 - -843926?
843874
In base 8, what is 124264 + -1022?
123242
In base 5, what is 2130133 + 1231?
2131414
In base 13, what is -2980 - 24?
-29a4
In base 8, what is 125763 + 63?
126046
In base 14, what is -4372 - 961?
-4cd3
In base 15, what is 2 + -744ed8?
-744ed6
In base 13, what is 159633 + -7?
159629
In base 9, what is 10437 - -252?
10700
In base 14, what is 1b69 - 6b6?
1493
In base 7, what is -665 + -4451224?
-4452222
In base 15, what is -2 + -8ebdeae?
-8ebdeb1
In base 7, what is -3 - -1466025303?
1466025300
In base 5, what is -44 + -3213342?
-3213441
In base 5, what is -410004 + -14313?
-424322
In base 8, what is -4 + 24430612?
24430606
In base 6, what is -3 + -11230100112?
-11230100115
In base 2, what is 111001011110001011001 - -11?
111001011110001011100
In base 7, what is -1340 + 20163206?
20161536
In base 15, what is -3e28e - -25e?
-3e030
In base 4, what is -11 + 1010133021?
1010133010
In base 9, what is -20 + 47516701?
47516671
In base 4, what is -32022021 + -201120?
-32223201
In base 16, what is -13ff + 664a?
524b
In base 7, what is 1052250503 - -6?
1052250512
In base 2, what is 1001 - 100000110100010001011100?
-100000110100010001010011
In base 13, what is 0 - -cab75?
cab75
In base 8, what is 23351674 - 4?
23351670
In base 11, what is -5a7 - -7899a9?
789402
In base 16, what is -3c + -52cb0?
-52cec
In base 12, what is 36a + 46457?
46805
In base 16, what is -6a1 + -14af?
-1b50
In base 4, what is -3 + 1032210033103?
1032210033100
In base 15, what is -2 + -27ebdc8?
-27ebdca
In base 16, what is -9a5 + -d481?
-de26
In base 10, what is 1034396 + 132?
1034528
In base 8, what is 2 - -5737537?
5737541
In base 3, what is 10020 - 121100000101?
-121022220011
In base 15, what is 4cc8a - 1?
4cc89
In base 13, what is 15b + 10b4b?
10ca9
In base 8, what is -103600 - 12754?
-116554
In base 9, what is 2005 - 121102?
-118086
In base 9, what is 3 - 14472372?
-14472368
In base 4, what is -2023 - 23233321?
-23302010
In base 11, what is -23967a25 + -2?
-23967a27
In base 16, what is 2 - 778bb50?
-778bb4e
In base 14, what is 6b - 1a270?
-1a203
In base 15, what is -1 + -2d67655?
-2d67656
In base 8, what is -3 - 17650165?
-17650170
In base 3, what is -1020200 + 10211122002?
10210101102
In base 3, what is 1002020222000122 + -10?
1002020222000112
In base 16, what is 2 - bc1e2d?
-bc1e2b
In base 15, what is 0 + 28c228?
28c228
In base 10, what is 25133 - 8620?
16513
In base 7, what is -1026325 + 200?
-1026125
In base 14, what is 161 - 17ca6?
-17b45
In base 6, what is 10123 - -223035?
233202
In base 5, what is -312 - 12220133?
-12221000
In base 7, what is -3 + -43640261?
-43640264
In base 7, what is 10 - 1140030163?
-1140030153
In base 16, what is 4c2d + 9f6?
5623
In base 2, what is -111011111011 + 11111000111001?
10111100111110
In base 7, what is -12215361506 - 4?
-12215361513
In base 4, what is 12210 - 1322231123?
-1322212313
In base 3, what is -10012120101110220 - -11?
-10012120101110202
In base 16, what is 933b9 - 0?
933b9
In base 3, what is -1012 - 2201112220?
-2201121002
In base 16, what is 417d + -24a?
3f33
In base 9, what is 1 - 11648683?
-11648682
In base 10, what is -390492 + -510?
-391002
In base 8, what is -226600 - -5?
-226573
In base 15, what is -13981d - 7e?
-13989c
In base 10, what is -34 - 35613?
-35647
In base 14, what is -13dd7bd + -3?
-13dd7c2
In base 4, what is 10 + -210230112312?
-210230112302
In base 5, what is 32333110004 + -2?
32333110002
In base 3, what is 11100 - 201112102202?
-201112021102
In base 2, what is -1101010 - 1100001011111111010?
-1100001100001100100
In base 6, what is 5030154 - -400?
5030554
In base 13, what is 3c9c + -1313?
2989
In base 3, what is 11212 + -120211100222?
-120211012010
In base 12, what is -1957985 + -3?
-1957988
In base 6, what is -51 + 3310023?
3305532
In base 4, what is 12020322302 - -3?
12020322311
In base 8, what is 353310 + -5146?
346142
In base 12, what is -a192 - -a50?
-9342
In base 7, what is -3522063 + -1356?
-3523452
In base 8, what is -15477254 + 57?
-15477175
In base 7, what is 21 + 6214504?
6214525
In base 8, what is -146 + -13405?
-13553
In base 8, what is -1001 - -102051?
101050
In base 3, what is -1102112010100000 - -1?
-1102112010022222
In base 11, what is 1 + 26769570?
26769571
In base 2, what is -10011 - -1101010011001110101010000?
1101010011001110100111101
In base 12, what is 433596 - -41b?
4339b5
In base 9, what is 14318780 - -12?
14318802
In base 16, what is 806b74 + 5?
806b79
In base 9, what is 33316522 - 1?
33316521
In base 9, what is 524 + -160401?
-158766
In base 16, what is 4 + -3ce091?
-3ce08d
In base 7, what is -62502 + 2023?
-60446
In base 15, what is 2 + -6a1a28?
-6a1a26
In base 7, what is 1031 + -536266?
-535235
In base 12, what is 3940980 + 5?
3940985
In base 7, what is 0 - 31430602?
-31430602
In base 13, what is -30300 - 409?
-30709
In base 7, what is 13501310 - 20?
13501260
In base 2, what is -10000110 - 1111011001?
-10001011111
In base 6, what is -5 - -11104455302?
11104455253
In base 11, what is 958 - 2a429?
-29581
In base 5, what is 11303 + 4312043?
4323401
In base 14, what is 3 - -6a973c4?
6a973c7
In base 7, what is -13 + 15003562?
15003546
In base 2, what is 111001111011 - 1101010001011?
-110000010000
In base 13, what is -4397 + a23?
-3674
In base 11, what is 31a421 - -8a9?
32021a
In base 16, what is 160 + -9f33?
-9dd3
In base 4, what is 101112112321 - -13?
101112113000
In base 12, what is -7 - 4a2ab335?
-4a2ab340
In base 5, what is -124010341240 + -2?
-124010341242
In base 4, what is 1102222031 + -131200?
1102030231
In base 7, what is 66234 + 333315?
432552
In base 7, what is -16110000 + -3?
-16110003
In base 3, what is 101012010201021 + -200?
101012010200121
In base 14, what is 23d + 19b60?
19d9d
In base 8, what is 151442216 + 3?
151442221
In base 8, what is -3731656 - 40?
-3731716
In base 10, what is -2047 + 709?
-1338
In base 4, what is -1213 + 33322223?
33321010
In base 2, what is 1110001111010001 + 1011110111?
1110011011001000
In base 12, what is 7 + 1b5b4712?
1b5b4719
In base 4, what is 13103130 - -100100?
13203230
In base 7, what is 246 + -45006452?
-45006203
In base 10, what is -12581 - -1090?
-11491
In base 6, what is -2202 + -5320404?
-5323010
In base 3, what is 12201020 - 12011012?
120001
In base 11, what is -42 - -341247?
341205
In base 6, what is 4203520 + 12?
4203532
In base 10, what is -4959277 + -55?
-4959332
In base 10, what is 0 - -95546146?
95546146
In base 8, what is 10 - -13340565?
13340575
In base 14, what is -16cb895 + -1?
-16cb896
In base 16, what is -3df209 + -15?
-3df21e
In base 12, what is -1bb1950 - 1?
-1bb1951
In base 3, what is 21 + 1011111210110202?
1011111210111000
In base 5, what is -110121 - -244110?
133434
In base 2, what is -1101010000100010 + 10000001100?
-1101000000010110
In base 4, what is -121 - 3213323?
-3220110
In base 9, what is 67108 - 3710?
63288
In base 9, what is -1200 + 36851?
35651
In base 15, what is -13d688 - -14e?
-13d539
In base 14, what is 1c - -73d8a?
73da8
In base 8, what is 66736 - -12605?
101543
In base 9, what is 84 + 283771?
283865
In base 9, what is -2 + 14382842?
14382840
In base 6, what is -122 + 14423225?
14423103
In base 6, what is 12344 - 23124?
-10340
In base 6, what is 212550 - 542?
212004
In base 8, what is 2737 - 1365?
1352
In base 7, what is 2 + 1045006443?
1045006445
In base 8, what is -20332 - 37245?
-57577
In base 15, what is -5bab2 - -11?
-5baa1
In base 3, what is 10221001021 - -100022?
10221101120
In base 7, what is -2 - -26524501?
26524466
In base 2, what is -1001110 - -1100001101000110?
1100001011111000
In base 11, what is -751 - 24519?
-2516a
In base 9, what is -45 + 8767?
8722
In base 3, what is 212200102221 - -101?
212200110022
In base 10, what is -80 + -2058219?
-2058299
In base 3, what is 12 + -11101120122111201?
-11101120122111112
In base 16, what is 22b + 773d?
7968
In base 13, what is 7 + -43c93?
-43c89
In base 9, what is -3 + 1160087?
1160084
In base 12, what is -125b11 - -2?
-125b0b
In base 11, what is -64a73441 - -3?
-64a73439
In base 6, what is 4021454 + 302?
4022200
In base 6, what is 5 + -432155302?
-432155253
In base 9, what is 122 + 1645325?
164 | {
"pile_set_name": "DM Mathematics"
} |
t(147))/sqrt(7) - sqrt(21))/(sqrt(24)/sqrt(8)*4) + -5 + (-1 + sqrt(567) - ((0 + sqrt(7))*-2)**2) + 3.
-31 + 39*sqrt(7)/4
Simplify (-6*(-4*sqrt(6292) - sqrt(6292))*2)/(5*(sqrt(324) + (sqrt(324) - (sqrt(324) + 4*sqrt(324) + sqrt(324))))*3).
-11*sqrt(13)/9
Simplify -3*(-4*((sqrt(192) + (sqrt(192) + (sqrt(192)*1 - sqrt(192))*5 + sqrt(192) - sqrt(192)))/sqrt(4) + 1) + -4 + 5).
9 + 96*sqrt(3)
Simplify ((sqrt(98) + sqrt(98) + 0)*1*2 - -2*-1*sqrt(98)*2)**2 + 2 + 1 + 0.
3
Simplify (4*5*2*sqrt(128) + (-3 + (sqrt(128) - 1*sqrt(128)))*4 + 3)**2.
-5760*sqrt(2) + 204881
Simplify 5*(2*((-3 + sqrt(567) - sqrt(567))**2 + -4) - (4 + sqrt(567)*4 + 2)**2).
-45490 - 2160*sqrt(7)
Simplify -5 + ((-6*sqrt(252))/sqrt(2)*6)/((sqrt(4)*2*-3)/(3*sqrt(8))).
-5 + 108*sqrt(7)
Simplify ((-2 + (-5*(sqrt(104)*-1 + sqrt(104) - sqrt(104)))/(sqrt(8)*-2*-4) + -2)**2 + 1)*2.
-10*sqrt(13) + 1413/32
Simplify (-6*sqrt(10)/sqrt(2)*-1 + (sqrt(125) + sqrt(125)*1*-5 - sqrt(125)) + 3)**2 + 5.
-114*sqrt(5) + 1819
Simplify 1 + (2*(3*(sqrt(242) + (1*sqrt(242) + sqrt(242))*-1) - -1*(sqrt(242) + -1*(sqrt(242) - (sqrt(242) + 1))))*2)**2.
-704*sqrt(2) + 15505
Simplify ((-2*(sqrt(245) + 0 - sqrt(245)) - 1*sqrt(245)*3) + -1 + (-3 + 1 + sqrt(245) - sqrt(245)) + sqrt(245) + 5)**2.
-56*sqrt(5) + 984
Simplify ((-2*sqrt(272) - sqrt(68)/(sqrt(16)/sqrt(4)))*6 - (sqrt(102) + -3*sqrt(102)*2 + sqrt(102))/(-2*sqrt(384) + sqrt(384)))**2.
201977/4
Simplify -6*(-3 + -1*sqrt(25)/sqrt(5) + -2*sqrt(5) + 3 + 4*(-4 + sqrt(320)) + -3).
-174*sqrt(5) + 114
Simplify ((sqrt(49)/sqrt(175) - (sqrt(77)*-1)/sqrt(11)) + 2 + 2*(sqrt(28) + 2))**2 + 5.
312*sqrt(7)/5 + 5757/25
Simplify (2*-2*sqrt(1584) + sqrt(33)/(sqrt(12)/sqrt(4))*5)**2 + sqrt(99)/(sqrt(45)/(sqrt(10)/sqrt(2))) + ((sqrt(11) + -1)**2 + -2)*-5.
11*sqrt(11) + 20289
Simplify ((-1 + sqrt(245) - sqrt(15)/sqrt(75)) + 3 - (-5 + -1*(sqrt(50)/(1*sqrt(10)) - (sqrt(5) - (sqrt(5) - (sqrt(20) + -1))))))**2.
464*sqrt(5)/5 + 1161/5
Simplify 2 + (sqrt(17) + 0 + sqrt(17) + -4 - (sqrt(272) + -2) - (-4 + -4 + 2 + sqrt(1088)))**2.
-80*sqrt(17) + 1718
Simplify ((1*sqrt(504))/(sqrt(84)/(sqrt(48)/sqrt(4))))/((sqrt(108)/sqrt(3)*5 - sqrt(36))*-5).
-sqrt(2)/20
Simplify (-6*(-3*sqrt(99)*1 + sqrt(99))*1)/((sqrt(63) + 3*-1*sqrt(63))/(sqrt(63)*6)).
-108*sqrt(11)
Simplify (sqrt(684)*4)**2 + (3*sqrt(1539) - sqrt(19)) + (((sqrt(95) - 1*(sqrt(95) - -1*sqrt(95))) + sqrt(95))/((sqrt(80) + sqrt(5))*-3))**2.
26*sqrt(19) + 10944
Simplify ((sqrt(14)/(sqrt(49)/sqrt(7)) - (-1 + sqrt(98) + sqrt(2)) - (1 + -2*sqrt(242) - (sqrt(242) + 1 + sqrt(242) + sqrt(242) + sqrt(242))*5))*-2)**2 + 4.
9400*sqrt(2) + 441904
Simplify (sqrt(76)*-3 + 4 - (-3*sqrt(76) + 1) - (1 + -5*(0 + sqrt(76)) + 3))**2.
-20*sqrt(19) + 1901
Simplify (-4 + 3*(sqrt(243)*-2 + 5) + (sqrt(363) + sqrt(363) + 2 + 2 - 1*sqrt(363)*3))**2.
-1950*sqrt(3) + 12900
Simplify -5 + -5*((1 + -2*(sqrt(7)*-3 + -5)*5 + 0)**2 + 1).
-44515 - 15300*sqrt(7)
Simplify (sqrt(228) + sqrt(228)*-1*2 - -1*sqrt(228)*1)/(3*-1*sqrt(588)*-4).
0
Simplify ((sqrt(2) + sqrt(8)/sqrt(4) + -2)**2 - (sqrt(50)*4)**2 - (sqrt(128) - -6*(2*sqrt(128))**2)) + 2.
-3858 - 16*sqrt(2)
Simplify ((2*sqrt(4235) - sqrt(175)/sqrt(80))/(-1*sqrt(252) + (sqrt(7) - sqrt(35)/sqrt(5)*-6)))**2.
37845/16
Simplify (sqrt(3)*2*3 + sqrt(24)/sqrt(2) + sqrt(3) - (3 + sqrt(3)*3 + -1*(sqrt(3) + sqrt(3) + -3) + sqrt(3))) + -1.
-7 + 7*sqrt(3)
Simplify (-6*sqrt(12)/sqrt(4) - (sqrt(108) + 0))**2 + (1 + sqrt(300))**2 + 5 + (-5 + 2 + sqrt(12) - (2 + sqrt(588)))**2.
140*sqrt(3) + 1195
Simplify 0 + -3*((sqrt(11) + 3 + sqrt(99) - (sqrt(11) - (sqrt(88)*2)/sqrt(8)))**2 + (sqrt(110)/(-6*sqrt(30)/sqrt(3)) + -2)**2).
-10379/12 - 92*sqrt(11)
Simplify (sqrt(272)*-1 + 0)*-3*2 + 1 + 5 + sqrt(204)/((sqrt(84)*2)/sqrt(7)).
6 + 49*sqrt(17)/2
Simplify (((2*sqrt(143)*5 - sqrt(143)) + (2*sqrt(143) + sqrt(143))*5)*1)/((sqrt(396)*-6 - sqrt(11)) + -4*sqrt(99)).
-24*sqrt(13)/49
Simplify (sqrt(2299) + -4 + ((sqrt(76)*2)/sqrt(4) - sqrt(19)) - (-2 + (5 + (-1 + sqrt(684) - sqrt(684)) + sqrt(684) + sqrt(684))**2)) + -1.
-2755 - 84*sqrt(19)
Simplify ((sqrt(242) + -4)*-2 + sqrt(242) + -1)**2 + (-6*(sqrt(242) - (-5 + sqrt(242) + 4) - sqrt(242) - sqrt(242)))**2 + -2.
-1738*sqrt(2) + 35173
Simplify ((sqrt(192)*3 + sqrt(3) - sqrt(3))**2*2 + (5*sqrt(3)*-1 - (sqrt(3) - (sqrt(6) + sqrt(24)/sqrt(4))/sqrt(2))) + -4)*-2.
-6904 + 8*sqrt(3)
Simplify 1*((-1*sqrt(95)*-6*5)/(2*(sqrt(60)/sqrt(2))/sqrt(6)))**2*1.
4275
Simplify (((sqrt(975) + (sqrt(975) + (sqrt(975) - -1*-2*sqrt(975)) - sqrt(975)))*6)/(2*sqrt(3)*2 - (-1*(sqrt(3) + sqrt(21)/sqrt(7) + sqrt(3)) + sqrt(3))))**2.
0
Simplify ((-5*sqrt(120)/sqrt(5))/sqrt(8) + -2 + ((2 + sqrt(243) - sqrt(243))*-2*5)**2)*-6.
-2388 + 30*sqrt(3)
Simplify (-4 + (sqrt(117)/sqrt(144) - sqrt(13))*3 + sqrt(156)/((sqrt(18) + sqrt(18)*2)/sqrt(6)))**2 + -2.
38*sqrt(13)/3 + 6709/144
Simplify ((sqrt(132)/sqrt(64))/(sqrt(48)*6) + -1*(sqrt(33)/sqrt(3)*3 + 2))**2.
287*sqrt(11)/24 + 942923/9216
Simplify ((sqrt(2904) - (sqrt(2904) + sqrt(2904)*1 + sqrt(2904) - sqrt(2904))*-6)*6)/((sqrt(96)/sqrt(2))/sqrt(4) + (sqrt(12) - sqrt(12)*1)*3).
858*sqrt(2)
Simplify ((-2*(sqrt(330) + sqrt(330)*2))/((sqrt(10)*2 - sqrt(10))*1))/((sqrt(275) - 2*sqrt(275)*-2) + sqrt(275) + 6*(2*sqrt(275) + sqrt(275)) + sqrt(275)).
-6*sqrt(3)/125
Simplify (-5*(-5*sqrt(171)*-6 + 1 + (sqrt(475) - 1*sqrt(475))))**2*3.
13500*sqrt(19) + 11542575
Simplify sqrt(243) - (6*sqrt(243)*-2)**2 - (-3*sqrt(243)*4)**2 - 5*((-3 + sqrt(243) + -1)**2 + (-1*(2*sqrt(243) - sqrt(243)))**2).
-72494 + 369*sqrt(3)
Simplify 2 + ((sqrt(77) - (-6*5*sqrt(77) + sqrt(77)))*2)/(2*(sqrt(7) - -3*sqrt(42)/sqrt(6))).
2 + 15*sqrt(11)/2
Simplify (-2*((sqrt(190)*1*2)/(sqrt(250)*2) + (-2*sqrt(209)*1)/(sqrt(22)/(sqrt(4)/sqrt(2))) + -5))**2.
72*sqrt(19) + 8656/25
Simplify 1*(sqrt(5) + -1 + 1 + -1 + (-4*(2 + sqrt(5)) + sqrt(50)/(sqrt(20)/sqrt(2)))**2) + -4.
104 + 49*sqrt(5)
Simplify -4*(((sqrt(539) + 1 + 3)*2 - (((sqrt(539) + (1*sqrt(539) - sqrt(539)) + sqrt(539) - sqrt(539))*1 - sqrt(539)) + 5)) + 5)**2.
-8880 - 896*sqrt(11)
Simplify (((sqrt(40) - sqrt(40)*1)*-1)/(3*-1*sqrt(8)) + 4*(-5 + 5 + sqrt(5) + 3 + sqrt(5)))**2.
192*sqrt(5) + 464
Simplify 0 + (1 + sqrt(252)/sqrt(4) + -3 + 1 + -2*sqrt(1575)*3)**2.
174*sqrt(7) + 52984
Simplify 4 + (6*((sqrt(75) + -1)*-3 + sqrt(75))*4*3*-2)**2.
-1244160*sqrt(3) + 6407428
Simplify ((sqrt(833) - sqrt(833)*2*6)*-3 + (sqrt(68)*-1*5)/(sqrt(32)/sqrt(72)))**2.
793152
Simplify (5 + 5*((sqrt(117)*-2 + 2)*6 + -3 + -3))**2.
-12600*sqrt(13) + 422425
Simplify (3*(sqrt(68) - 1*sqrt(68)*3))/(sqrt(4) + (sqrt(196)*2 - sqrt(4)) + sqrt(4) - (-2*sqrt(8))/sqrt(2)).
-6*sqrt(17)/17
Simplify -3*((sqrt(66) - sqrt(66)*-2)*6 + sqrt(66) + -6*(1*sqrt(66) - sqrt(66)) + sqrt(66))/(1*-2*sqrt(294)) + -1.
-1 + 30*sqrt(11)/7
Simplify (sqrt(264)/(sqrt(768) + (sqrt(768) - (sqrt(768)*4 + sqrt(768)))))/((1*(sqrt(77) + sqrt(77) + sqrt(77) + 5*sqrt(77) + sqrt(77)) + sqrt(77))/sqrt(7))*5.
-sqrt(2)/48
Simplify sqrt(156)/(4*sqrt(12)) + (sqrt(312)/sqrt(8))/sqrt(3) + (6*(sqrt(832) + 0 + -1))**2.
-2299*sqrt(13)/4 + 29988
Simplify (sqrt(3) + (sqrt(48)*-4)**2 + sqrt(3) + 1 + -4 - ((sqrt(75) + -2)**2 - (-4*sqrt(108) - sqrt(108)))) + 5.
-8*sqrt(3) + 691
Simplify 2*sqrt(264)/(-2*sqrt(216) - sqrt(6)) + 1 + 3.
-4*sqrt(11)/13 + 4
Simplify (-5*(sqrt(360) + (sqrt(360) + (sqrt(360) - 2*sqrt(360)*5) - sqrt(360)) + sqrt(360)))/((2*sqrt(450) - sqrt(450))/(2*sqrt(490) + sqrt(10))).
1050*sqrt(2)
Simplify ((sqrt(85)*1*-6 + sqrt(85) + sqrt(85))*1)/(3*-5*sqrt(245)) + -2.
-2 + 4*sqrt(17)/105
Simplify (((sqrt(70) + -1*sqrt(70) + sqrt(70) + sqrt(70))*-5)/(-2*sqrt(28)/sqrt(4)))/(2*-2*sqrt(245)*3).
-5*sqrt(2)/84
Simplify (2*sqrt(2695)*-2*-2)/(4*(sqrt(704) + (sqrt(704)*-1*5 - sqrt(704)) - sqrt(704))).
-7*sqrt(5)/24
Simplify 3*-4*((sqrt(468) - ((sqrt(468)*-2 - sqrt(468)) + 2 - sqrt(468)))*3 + (0 + -1 + sqrt(468) - (0 + 2 + sqrt(468)))**2).
-1080*sqrt(13) - 36
Simplify (1*sqrt(2025) + sqrt(225)*3)/((sqrt(120)*5)/(5*(sqrt(6) + sqrt(12)/sqrt(2)))).
18*sqrt(5)
Simplify ((1*sqrt(864) - sqrt(864))*-5*-4)/((sqrt(12) + (sqrt(12) - sqrt(84)/sqrt(7)))*-4*6*-6).
0
Simplify 1 + ((2*sqrt(385))/sqrt(11) + 1*sqrt(4235))/(((1*sqrt(1620) + sqrt(1620) - sqrt(1620)) + sqrt(1620))/sqrt(4)).
1 + 13*sqrt(7)/18
Simplify (((sqrt(700) + sqrt(700)*2)*5 + -3 - (-4 + -5*(s | {
"pile_set_name": "DM Mathematics"
} |
*2 - 4*w + 8. Is o(-4) a multiple of 11?
False
Let k(x) = -x - 3 - 19*x**2 + 6*x**2 + 14*x**2 - 10*x. Is k(13) a multiple of 8?
False
Let o = 1350 - 1056. Is 3 a factor of o?
True
Let p = 1506 - 957. Does 9 divide p?
True
Let q(y) = -y - 2. Let m be -30*8/20*(-3)/(-3). Is 5 a factor of q(m)?
True
Suppose -23*r + 5538 = 3*r. Is r a multiple of 46?
False
Let g(l) = 8*l**2 + 9*l + 12. Does 11 divide g(-9)?
False
Let q(c) = c**2 + 12*c + 5. Let x be q(-11). Let h(d) = d. Let o(k) = -7*k + 6. Let f(p) = 4*h(p) + o(p). Does 8 divide f(x)?
True
Suppose o + 4*o - k - 1921 = 0, 1155 = 3*o - 3*k. Is 12 a factor of o?
True
Let s(p) = p**2 - 13*p + 18. Let k be 1 + 175/15 + (-8)/(-6). Is 7 a factor of s(k)?
False
Is 68 a factor of 14/(-6) - (-79651)/39?
True
Is ((-1)/2)/(25/(-53800)) a multiple of 28?
False
Let b = 77 - 70. Suppose 31 + 319 = b*v. Is v a multiple of 4?
False
Let t = -18 - -20. Suppose t*f - 96 - 30 = 0. Does 27 divide f?
False
Is 7 + 7 + -10 + 188 + -3 a multiple of 7?
True
Suppose -8*t = -3*t + 1005. Does 18 divide (2/((-12)/t))/((-2)/(-4))?
False
Is (-13 + 18)*-1 + (0 - -930) a multiple of 25?
True
Let v be 0 - -1 - (11 - 238). Suppose 4*d + 0*d = v. Let u = 86 - d. Is u a multiple of 19?
False
Let d(t) = -12*t**2 - 17*t + 50*t + 4*t**2 + 13*t**2 - 4. Does 3 divide d(-7)?
False
Let o(k) = 36*k - 108. Is 12 a factor of o(9)?
True
Suppose 5774 - 158 = 4*o. Is o a multiple of 54?
True
Let x = -910 - -1085. Is 34 a factor of x?
False
Suppose -g = -6*g + 15. Suppose 3*f - g*i - 48 = -0*i, -5*i = -3*f + 46. Is f a multiple of 6?
False
Suppose 0 = -55*i + 19054 + 3936. Is 4 a factor of i?
False
Suppose -61*l = -8064 - 5112. Is 8 a factor of l?
True
Let l(j) be the second derivative of 13*j**5/4 + j**4/12 + j**3/6 - j**2/2 - 2*j. Let p be l(1). Suppose -p = -4*y + 6. Is 6 a factor of y?
True
Let d = 68 - 40. Let r = d - -8. Suppose 4*s + r = 4*w, -w = -0*w + 3*s - 25. Is 13 a factor of w?
True
Let q = -236 - -516. Does 35 divide q?
True
Suppose -8 = -5*m + 7. Suppose m*w - 213 = z, 5*z + 129 = 5*w - 3*w. Does 34 divide w?
False
Suppose 163 = 3*w - 311. Let a = w + -90. Does 17 divide a?
True
Let c = -42 + 47. Let j(z) = -z**3 + 17*z**2 - 7*z + 4. Let n be j(14). Suppose 0 = -2*o + c*p + 209, 0 = -5*o - 0*p + 3*p + n. Does 30 divide o?
False
Let y be (5/(-1))/(1 + -2). Suppose -175 = -4*m + 5*p, -4*m - y*p = -0*p - 225. Is 15 a factor of m?
False
Suppose k + i - 7 = 0, 0 = 2*k - 2*i - 3 - 3. Suppose -1512 = -282*c + 261*c. Suppose -4*m - 3*u - u = -c, k*u = -3*m + 62. Does 3 divide m?
False
Suppose 0 = -5*l + 99 + 6. Suppose -x = -0*x - l. Does 7 divide x?
True
Suppose 161 = 5*n - 319. Is 12 a factor of n?
True
Does 8 divide -184*(-2 + 7/(-7))?
True
Suppose 3*r = -17 + 5. Let k be (r - 27/(-6))*0. Suppose k = -4*l - 3*n + 105, 7*n - 4*n = 2*l - 39. Is l a multiple of 14?
False
Let k(w) = w**3 - 2*w**2 + w + 1. Let t be k(2). Suppose -t = f - 6. Suppose f*s - 20 = 16. Does 11 divide s?
False
Let a(f) be the third derivative of f**5/60 + f**4/12 - 22*f**3/3 - 6*f**2 + 3*f. Does 24 divide a(18)?
False
Suppose 5*n + u = -3*u + 19, 0 = 3*n + 3*u - 12. Suppose 0 = -n*i + 2*y - 138 + 418, 0 = -i + 3*y + 84. Does 12 divide i?
True
Let f = 1784 + -1294. Is f a multiple of 15?
False
Let j be (96/(-40))/((-1)/(-5)). Is (((-9)/j)/(-1))/(5/(-840)) a multiple of 9?
True
Let c = 63 + 0. Let p be (-14)/c - (-40)/18. Is 14 a factor of (-1 + p)*(-28)/(-2)?
True
Let w be 48/(-16) - (2 - 2 - -18). Let x = 44 - w. Is 16 a factor of x?
False
Let b = -553 - -640. Does 3 divide b?
True
Does 50 divide (-25092)/(-126) - 6/(-7)?
True
Let x be 8/(-12) + 14/3. Suppose -54 = -x*n - 10. Suppose -n*v + 51 = -8*v. Does 7 divide v?
False
Suppose 0 = -3*m + j + 396, -9*j + 13*j = 5*m - 653. Does 6 divide m?
False
Let w(y) be the first derivative of -3*y**2 - y + 1. Let j be w(-2). Suppose 0 = 3*o - 146 + j. Does 13 divide o?
False
Let g(u) = 9*u**2 + 42*u + 274. Is 21 a factor of g(-15)?
False
Suppose 3*d = 3*o + 21, -2*o + 3*d + d = 10. Let j be (-6)/(42/o + 4). Suppose -3*v + 6 + 5 = p, 3*p - 3*v = j. Is p a multiple of 5?
True
Suppose 4*d - 344 = 856. Is d even?
True
Let w = -2384 - -4102. Is w a multiple of 24?
False
Let l(r) = 30*r - 52. Let y be l(5). Suppose 2*s - 6*s = -5*h + 242, 2*h - y = s. Does 4 divide h?
False
Let p(w) = 8*w - 10. Let h(j) = 1. Let v(m) = m**3 - 8*m**2 + 8*m - 2. Let g(t) = -2*h(t) + v(t). Let a be g(7). Is 8 a factor of p(a)?
False
Let k be (4 + -4 - -2) + -2. Suppose -369 = 3*q - k*q + 2*o, -5*q - 3*o - 615 = 0. Let y = 195 + q. Is 24 a factor of y?
True
Let p(u) = u**2 - 2*u. Let j be p(2). Suppose j = -5*l + 8*l - 12. Is (-2408)/(-70)*10/l a multiple of 15?
False
Let x = 6 - -2. Suppose -48 = x*b - 5*b. Is 17 a factor of (-45)/6*b/6?
False
Let a(p) = p**3 - 300 + 0*p**3 + 358 + p + p**2. Let o = 1 + -1. Is 29 a factor of a(o)?
True
Is 5 a factor of (3 + 3 - 27)/(-3 + 2)?
False
Is 16 a factor of (-19)/((-76)/4680) + -8?
False
Suppose -8602 = 32*s - 55*s. Is s a multiple of 22?
True
Let z(o) be the first derivative of o**3 - 3*o**2/2 - 4*o - 8. Is z(3) a multiple of 14?
True
Let l be 2/10 + 398/10. Suppose 4*k - 56 = l. Is 10 a factor of k?
False
Suppose -2*c + 0*f = 3*f - 12, -4*f = -16. Suppose -4*l + 479 + 149 = c. Suppose t = -2*t - 4*q + l, -5*t - 5*q + 255 = 0. Does 22 divide t?
False
Suppose 5*d = 7*s - 4*s - 4, 0 = -s - d + 4. Let u be (s - -1)/4 - -48. Let z = u - 23. Does 18 divide z?
False
Suppose 0 = -2*y - 6*z + 10*z + 168, -z = 5*y - 398. Is y a multiple of 40?
True
Let z(m) = m**3 - 4*m**2 - 17*m + 8. Let k be z(8). Suppose k = 5*j + 3*q, 0 = -2*j - 4*q + 5*q + 49. Is 5 a factor of j?
True
Suppose -3*l - 2*m - 53 + 14 = 0, -3*m = 0. Does 19 divide (-990)/l + 6/(-39)?
True
Suppose 7*t - 468 = 4*t. Suppose t = 3*d + 30. Suppose 2*g + 2 - d = 0. Does 14 divide g?
False
Does 64 divide (15 - -5)/(-4) - -1605?
True
Suppose 120*c - 19907 = 75613. Is 4 a factor of c?
True
Let g be -3*(-1)/((-3)/(-4)). Let t(q) = 2*q**2 + 0 - 1 + g*q**2 - 1. Does 12 divide t(-3)?
False
Suppose 0 = -4*z - 4*p - 28, 2*z + z + 5*p + 17 = 0. Is 30 a factor of (-16)/12 + (-1038)/z?
False
Let f(y) = 7*y + 1. Let h be (3/(-6))/((-5)/30). Is f(h) a multiple of 22?
True
Let p(o) = -o**3 - 25*o**2 + 26*o + 205. Is 13 a factor of p(-26)?
False
Let q(k) = -k**3 - 3*k**2 + 21*k + 49. Is 8 a factor of q(-10)?
False
Let i = -2783 + 7053. Is i a multiple of 14?
True
Let o = -1627 - -2834. Does 4 divide o?
False
Let f be (5 - 2)/(6/4). Suppose -11 = -2*b + 5*k, -4*b + f*k = -0*b - 14. Suppose -3*j + 39 = 6*p - p, -2*j = -b*p + 31. Is 2 a factor of p?
False
Let s be 2 - (-2 - -2) - 38. Let k be (-8)/s + (-16)/(-9). Suppose -12 = -4*v + k*c + 124, -2*c + 44 = v. Is 9 a factor of v?
True
Let r = 1857 + -1608. Is r a multiple of 18?
False
Let k be 4 + 3 + -5 + 2. Suppose k*u = -u + 2*l + 80, 5*l = -5*u + 45. Is 6 a factor of u?
False
Let i be -3*340/(-12) + (0 - 2). Let f be (-160)/(-1) + 2/1. Let q = f - i. Is 22 a factor of q?
False
Suppose -4*r + 120 = -14*r. Does 26 divide r/(-12) - 25/(-1)?
True
Let w(d) = 3*d**3 - 5*d**2 - 5*d - 5. Does 24 divide w(7)?
True
Let n(o) = -24*o**2 - o - 1. Let m be n(-3). Let y = 340 + m. Is 40 a factor of y?
False
Let y = 8 + 13. Suppose -6*o = -y + 3. Is (o/9)/((-5)/(-2355)) a multiple of 38?
False
Let g(t) = -t + 4. Let x be g(6). Let d(u) = -u**2 + u + 2. Let n be d(x). Is 13 a factor of (24 - -2)/((-2)/n)?
True
Suppose -a - 16 = -4*h, -4*h + 3*a + 2*a + 16 = 0. Let k(u) = 3*u**3 - 1 - 4*u**2 - h*u**3 - 7. Is k(-6) a multiple of 20?
False
Let z(x) = 2*x**2 + 11*x - 8. Let p be z(-6). Let q(r) be the second derivative of -7*r**5/20 - r**4/12 + 2*r**2 - 2*r. Is 8 a factor of q(p)?
True
Let t be ((-18)/15)/(3/45). Let o = -9 - t. Let q(y) = 7*y - 13. Is q(o) a multiple of 13?
False
Let f(s) = -s**3 + 3*s**2 + 6. Let b be f(3). Suppose -3*x + 0 = -b. Suppose x*n + 104 = 4*n. Does 8 divide n?
False
Suppose -4*r + g = -28, -g = r + 3*g + 10. Suppose 2*m - 4*f = r*m - 452, 0 = -5*m - 4*f + 565. Is m a multiple of 14?
False
Suppose -2*m - 109 = -697. Does 30 divide m?
False
Does 9 divide (-9 - (1 + -3)) + (1370 - 1)?
False
Suppose -45 = -s - 20. Does 4 divide s?
False
Let w = 12 - 11. Suppose -h + w = -5. Let m = 12 + h. Does 6 divide m?
True | {
"pile_set_name": "DM Mathematics"
} |
2
What is the billions digit of 1985693820?
1
What is the millions digit of 225022583?
5
What is the tens digit of 207602434?
3
What is the tens digit of 2263787128?
2
What is the ten thousands digit of 1354612723?
1
What is the tens digit of 214850959?
5
What is the millions digit of 34296655?
4
What is the ten thousands digit of 6347023740?
2
What is the ten thousands digit of 245784780?
8
What is the thousands digit of 72965175?
5
What is the hundred thousands digit of 422580925?
5
What is the hundred thousands digit of 31794051?
7
What is the hundred millions digit of 1548510327?
5
What is the hundreds digit of 1641415655?
6
What is the hundreds digit of 7637442?
4
What is the hundred millions digit of 3543956047?
5
What is the units digit of 116975817?
7
What is the hundred thousands digit of 35064819?
0
What is the tens digit of 1077200450?
5
What is the thousands digit of 39978703?
8
What is the millions digit of 653886527?
3
What is the ten millions digit of 255104771?
5
What is the thousands digit of 8127333383?
3
What is the units digit of 2488315721?
1
What is the units digit of 6200467825?
5
What is the ten thousands digit of 206679528?
7
What is the ten thousands digit of 206108035?
0
What is the hundred millions digit of 113714491?
1
What is the hundreds digit of 71093585?
5
What is the millions digit of 9985707?
9
What is the hundreds digit of 500757359?
3
What is the tens digit of 264417551?
5
What is the hundred thousands digit of 4314788364?
7
What is the ten millions digit of 376545717?
7
What is the ten millions digit of 111219471?
1
What is the ten thousands digit of 180487290?
8
What is the hundred millions digit of 1673387264?
6
What is the thousands digit of 692067099?
7
What is the units digit of 1495863118?
8
What is the units digit of 22109342?
2
What is the ten millions digit of 41342571?
4
What is the ten thousands digit of 1892495663?
9
What is the billions digit of 1090544595?
1
What is the hundreds digit of 385912060?
0
What is the thousands digit of 51175679?
5
What is the hundreds digit of 144252241?
2
What is the ten thousands digit of 371786025?
8
What is the units digit of 633856600?
0
What is the thousands digit of 1397221269?
1
What is the billions digit of 1014292658?
1
What is the ten thousands digit of 25661819?
6
What is the hundred thousands digit of 262477788?
4
What is the millions digit of 32174249?
2
What is the thousands digit of 913270052?
0
What is the hundred millions digit of 2909413642?
9
What is the ten thousands digit of 403626520?
2
What is the ten thousands digit of 4148338811?
3
What is the hundreds digit of 21366046?
0
What is the hundred thousands digit of 48025402?
0
What is the thousands digit of 1951591988?
1
What is the tens digit of 3483980430?
3
What is the ten thousands digit of 189158028?
5
What is the thousands digit of 1082935293?
5
What is the tens digit of 2418305640?
4
What is the hundred millions digit of 241591834?
2
What is the ten millions digit of 14772844?
1
What is the thousands digit of 7028322352?
2
What is the ten thousands digit of 677685276?
8
What is the tens digit of 6544197?
9
What is the hundreds digit of 2096894732?
7
What is the hundreds digit of 276229389?
3
What is the thousands digit of 71913079?
3
What is the thousands digit of 261091764?
1
What is the hundred thousands digit of 38614047?
6
What is the units digit of 18440831?
1
What is the ten millions digit of 74655906?
7
What is the millions digit of 4903373042?
3
What is the tens digit of 72277755?
5
What is the tens digit of 15117568?
6
What is the hundreds digit of 263892100?
1
What is the hundreds digit of 12677051?
0
What is the units digit of 507816913?
3
What is the billions digit of 1958924997?
1
What is the hundreds digit of 82832042?
0
What is the thousands digit of 84761688?
1
What is the billions digit of 1361011629?
1
What is the ten millions digit of 4575802722?
7
What is the hundred thousands digit of 4905116038?
1
What is the tens digit of 318444066?
6
What is the ten thousands digit of 40242385?
4
What is the units digit of 34923762?
2
What is the units digit of 1308878954?
4
What is the ten millions digit of 195911467?
9
What is the ten millions digit of 75421217?
7
What is the tens digit of 1045261094?
9
What is the ten millions digit of 551246094?
5
What is the hundreds digit of 21543683?
6
What is the ten thousands digit of 1446021527?
2
What is the ten millions digit of 334999530?
3
What is the units digit of 72370309?
9
What is the ten thousands digit of 93961240?
6
What is the hundred thousands digit of 970568180?
5
What is the tens digit of 928787?
8
What is the units digit of 18160265?
5
What is the ten thousands digit of 5552516358?
1
What is the tens digit of 2672655777?
7
What is the hundred thousands digit of 4662627434?
6
What is the millions digit of 26257964?
6
What is the ten millions digit of 80026090?
8
What is the units digit of 49880132?
2
What is the thousands digit of 387553961?
3
What is the units digit of 87147719?
9
What is the tens digit of 986417?
1
What is the tens digit of 21363431?
3
What is the hundred millions digit of 847683190?
8
What is the ten millions digit of 3068436430?
6
What is the hundred thousands digit of 145252963?
2
What is the ten thousands digit of 73216578?
1
What is the hundred thousands digit of 81018174?
0
What is the ten thousands digit of 1108571816?
7
What is the thousands digit of 541069627?
9
What is the hundred millions digit of 5435451568?
4
What is the units digit of 15114511?
1
What is the tens digit of 594533384?
8
What is the ten millions digit of 40497431?
4
What is the thousands digit of 82090439?
0
What is the hundred millions digit of 874948040?
8
What is the tens digit of 721697128?
2
What is the units digit of 110587610?
0
What is the tens digit of 1750158472?
7
What is the hundred thousands digit of 1706475834?
4
What is the thousands digit of 228750370?
0
What is the ten millions digit of 814174081?
1
What is the thousands digit of 333557458?
7
What is the ten millions digit of 364201249?
6
What is the millions digit of 126637251?
6
What is the hundreds digit of 530825012?
0
What is the ten thousands digit of 25262703?
6
What is the thousands digit of 39264227?
4
What is the units digit of 213135938?
8
What is the tens digit of 3631255313?
1
What is the ten thousands digit of 288575648?
7
What is the millions digit of 371561706?
1
What is the hundreds digit of 472991319?
3
What is the thousands digit of 37046547?
6
What is the hundred thousands digit of 1314535423?
5
What is the hundreds digit of 5858300454?
4
What is the hundreds digit of 563667335?
3
What is the hundreds digit of 1076203657?
6
What is the thousands digit of 868673330?
3
What is the units digit of 125693746?
6
What is the hundred thousands digit of 698402397?
4
What is the hundreds digit of 126957850?
8
What is the ten thousands digit of 4572037455?
3
What is the tens digit of 915190637?
3
What is the hundreds digit of 233451679?
6
What is the ten millions digit of 88178925?
8
What is the ten millions digit of 35851639?
3
What is the thousands digit of 5032953443?
3
What is the millions digit of 1495115386?
5
What is the millions digit of 312958646?
2
What is the units digit of 10571823?
3
What is the billions digit of 2868430089?
2
What is the ten thousands digit of 211937020?
3
What is the ten millions digit of 68396547?
6
What is the ten thousands digit of 1443791843?
9
What is the units digit of 79203654?
4
What is the hundred thousands digit of 41488015?
4
What is the hundred thousands digit of 265401824?
4
What is the units digit of 15983556?
6
What is the ten thousands digit of 44579611?
7
What is the tens digit of 1367506050?
5
What is the hundred millions digit of 117809092?
1
What is the tens digit of 276588556?
5
What is the units digit of 262466909?
9
What is the units digit of 34430246?
6
What is the millions digit of 92208106?
2
What is the tens digit of 44173392?
9
What is the tens digit of 644451440?
4
What is the ten thousands digit of 1459915514?
1
What is the millions digit of 687972467?
7
What is the ten thousands digit of 1229403380?
0
What is the millions digit of 204234355?
4
What is the hundred millions digit of | {
"pile_set_name": "DM Mathematics"
} |
3?
-2011
What comes next: -12, -22, -34, -48, -64, -82?
-102
What comes next: -11, -85, -281, -659, -1279, -2201, -3485, -5191?
-7379
What comes next: -84, -14, 56, 126?
196
What is the next term in -861, -1725, -2591, -3459, -4329?
-5201
What comes next: 154, 152, 140, 112, 62?
-16
What comes next: -225, -222, -209, -180, -129, -50, 63, 216?
415
What is next in 608, 1211, 1810, 2405?
2996
What is the next term in 20204, 20208, 20214, 20222?
20232
What comes next: 72, 143, 214, 285, 356, 427?
498
What is next in -45, -54, -87, -156, -273, -450, -699, -1032?
-1461
What comes next: -1147, -1150, -1153, -1156?
-1159
What is the next term in 147, 135, 123, 111, 99, 87?
75
What is next in 0, -71, -270, -663, -1316, -2295, -3666?
-5495
What is next in -3409, -6821, -10233?
-13645
What comes next: -62, -71, -84, -101, -122, -147, -176?
-209
What is the next term in -39, -184, -441, -822, -1339, -2004, -2829?
-3826
What is next in -99, -217, -349, -501, -679, -889, -1137, -1429?
-1771
What comes next: 858, 851, 844?
837
What is the next term in 831, 833, 835, 837, 839?
841
What comes next: 7124, 7127, 7124, 7109, 7076, 7019, 6932, 6809?
6644
What is next in -113, -215, -319, -425, -533, -643, -755?
-869
What is next in 153, 232, 311, 390, 469?
548
What is next in 13, 9, 5, 1?
-3
What is the next term in 63, 183, 383, 663, 1023, 1463?
1983
What is the next term in 829, 843, 867, 901?
945
What is next in -10, -89, -298, -703, -1370, -2365, -3754?
-5603
What is next in 48, 109, 170, 231?
292
What is next in 9, 66, 157, 276, 417?
574
What is the next term in -13580, -13581, -13582, -13583?
-13584
What is the next term in 182, 183, 184, 185, 186, 187?
188
What is the next term in -71, -140, -207, -272, -335, -396, -455?
-512
What is next in -75, -212, -439, -756?
-1163
What comes next: 17062, 17063, 17064, 17065, 17066, 17067?
17068
What is the next term in -26, -49, -68, -83, -94, -101, -104?
-103
What comes next: -37, -123, -267, -469, -729, -1047?
-1423
What comes next: 3589, 7153, 10705, 14239, 17749, 21229?
24673
What is next in -456, -455, -454, -453, -452, -451?
-450
What is next in 105, -95, -293, -489, -683, -875, -1065?
-1253
What is the next term in -3036, -6081, -9126?
-12171
What comes next: -1004, -2007, -3008, -4007, -5004?
-5999
What comes next: 14, 30, 60, 110, 186?
294
What comes next: -89, -74, -49, -14, 31, 86, 151?
226
What is the next term in 717, 718, 719, 720, 721, 722?
723
What is next in -256, -255, -254, -253?
-252
What is the next term in 383, 409, 457, 533, 643, 793, 989, 1237?
1543
What comes next: -310, -620, -930, -1240?
-1550
What is the next term in -18, -9, -4, -9, -30, -73?
-144
What comes next: -11, -2, 27, 88, 193, 354, 583, 892?
1293
What is the next term in -174, -252, -356, -492, -666, -884, -1152?
-1476
What comes next: 172, 171, 170?
169
What is the next term in 217, 233, 249, 265, 281?
297
What is the next term in 62, 118, 170, 218, 262, 302, 338?
370
What is next in 37, 80, 125, 172?
221
What is next in -41, -56, -71, -86, -101?
-116
What is the next term in 809, 808, 807, 806, 805?
804
What is next in 206, 400, 602, 818, 1054, 1316, 1610?
1942
What comes next: 1486, 2970, 4454?
5938
What is next in 356, 684, 1008, 1328, 1644, 1956, 2264?
2568
What is next in 149, 178, 265, 440, 733?
1174
What comes next: 109, 220, 345, 490, 661, 864, 1105?
1390
What is the next term in -52, -100, -148?
-196
What comes next: -44, -104, -174, -260, -368, -504, -674, -884?
-1140
What is next in 24, 109, 330, 753, 1444?
2469
What comes next: 9, 8, 3, -6, -19, -36, -57?
-82
What comes next: -9, -81, -283, -681, -1341, -2329, -3711?
-5553
What is next in 2021, 4040, 6055, 8066, 10073, 12076, 14075?
16070
What is the next term in -1242, -1247, -1254, -1263, -1274, -1287?
-1302
What comes next: 9, 20, 39, 66, 101, 144, 195?
254
What is the next term in -88, -83, -92, -121, -176, -263, -388?
-557
What is next in 7, -15, -71, -179, -357, -623, -995?
-1491
What comes next: -85, -145, -205, -265?
-325
What comes next: -2499, -2511, -2537, -2583, -2655, -2759, -2901?
-3087
What is next in -567, -1120, -1657, -2172, -2659?
-3112
What is the next term in -50, -104, -158, -212?
-266
What is the next term in -9, -230, -827, -1986, -3893, -6734?
-10695
What comes next: -160, -156, -152, -148, -144, -140?
-136
What is next in -29, -24, 43, 202, 483, 916, 1531?
2358
What comes next: -32, -40, -42, -32, -4?
48
What comes next: 21, 37, 55, 75, 97, 121?
147
What is next in -587, -1164, -1741, -2318?
-2895
What comes next: 79, 77, 75, 73, 71?
69
What comes next: -132, -122, -106, -84, -56, -22, 18?
64
What comes next: -25, -58, -103, -166, -253, -370, -523, -718?
-961
What is next in -46, -64, -108, -190, -322, -516, -784, -1138?
-1590
What is the next term in -125, -104, -77, -50, -29, -20, -29?
-62
What comes next: -91, -89, -93, -109, -143, -201?
-289
What comes next: 51, 43, 31, 15, -5, -29?
-57
What is next in -231, -459, -687, -915, -1143, -1371?
-1599
What comes next: -818, -809, -798, -785, -770?
-753
What is the next term in 1041, 1043, 1045, 1047, 1049, 1051?
1053
What comes next: 42, 81, 120, 159, 198?
237
What is next in -36, -12, 46, 150, 312, 544, 858?
1266
What comes next: 4627, 4621, 4611, 4597, 4579, 4557?
4531
What comes next: 79509, 79508, 79507?
79506
What is next in -123, -248, -375, -504, -635, -768, -903?
-1040
What comes next: 26, 5, -36, -103, -202, -339?
-520
What is the next term in 114, 111, 108, 105, 102?
99
What is the next term in 1, 1, 3, 7, 13, 21?
31
What comes next: -17, -31, -55, -95, -157?
-247
What is the next term in -2, 2, 20, 52?
98
What is next in -85, -86, -87, -88?
-89
What is the next term in -53, -51, -49?
-47
What is next in -4, -13, -12, 11, 68, 171?
332
What is the next term in 124, 120, 112, 100, 84?
64
What is the next term in -39, -314, -1041, -2442, -4739, -8154?
-12909
What is the next term in 17, 68, 227, 548, 1085?
1892
What is the next term in 335, 649, 975, 1319, 1687, 2085?
2519
What comes next: -14, -5, -10, -35, -86?
-169
What is next in 73, 86, 119, 178, 269, 398, 571, 794?
1073
What comes next: -134, -182, -230, -278, -326, -374?
-422
What is next in 72, 70, 56, 24, -32?
-118
What is the next term in 55, 106, 155, 202?
247
What is the next term in -63, -33, 23, 111, 237?
407
What comes next: 9, 11, 11, 9, 5, -1?
-9
What is next in 91, 90, 89, 88, 87, 86?
85
What comes next: 3546, 3548, 3560, 3588, 3638, 3716, 3828, 3980?
4178
What is the next term in -43, -68, -91, -112?
-131
What is the next term in -23693, -23697, -23703, -23711, -23721?
-23733
What comes next: -5278, -5277, -5276, -5275, -5274, -5273?
-5272
What comes next: 973, 972, 971, 970, 969, 968?
967
What is the next term in 4211, 4226, 4265, 4340, 4463, 4646, 4901?
5240
What is the next term in -53, -206, -461, -818, -1277?
-1838
What is the next term in 6358, 6356, 6352, 6346, 6338, 6328?
6316
What is next in -185, -186, -187, -188?
-189
What comes next: -21466, -21465, -21464, -21463, -21462, -21461?
-21460
What is the next term in -12427, -12437, -12459, -12499, -12563, -12657, -12787, -12959?
-13179
What is next in 27, 80, 157, 252, 359, 472, 585, 692?
787
What comes next: -143, -145, -147?
-149
What comes next: -239, -240, -241?
-242
What is the next term in -5, -26, -69, -140, -245, -390, -581, -824?
-1125
What comes next: 2234, 4471, 6708, 8945?
11182
What comes next: -379, -381, -383, -385, -387?
-389
What is next in -3730, -3726, -3722?
-3718
What is the next term in 94, 82, 62, 34, -2, -46, -98?
-158
What is next in -3160, -3159, -3158, -3157?
-3156
What comes next: -155, -157, -159, -161, -163?
-165
What is the next term in 131, 132, 133, 134?
135
What comes next: -20, 1, 22, 43?
64
What is the next term in 214, 428, 642, 856?
1070
What comes next: -210, -213, -216?
-219
What comes next: -16, -57, -136, -271, -480, -781?
-1192
What is next in 35, 2, -33, -70, -109, -150, -193?
-238
What comes next: -9990, -19981, -29972?
-39963
What is next in 52, 101, 150?
199
What is the next term in 2, 17, 32?
47
What comes next: -2, -4, -14, -38, -82, -152?
-254
What is next in 133, 122, 97, 52, -19, -122?
-263
What comes next: 4, -15, -64, -155, -300?
-511
What is the next term in 3, -32, -101, -210, -365, -572?
-837
What is | {
"pile_set_name": "DM Mathematics"
} |
237 - 216 = 7*o for o.
3
Solve -242*l - 128*l - 12767 = 381*l for l.
-17
Solve 0 = -149*l - 5*l - l for l.
0
Solve -14*f - 791 = -945 + 462 for f.
-22
Solve 44*t + 169 = 169 for t.
0
Solve 27012*h - 26954*h - 754 = 0 for h.
13
Solve 44*r + 386 - 237 = -731 for r.
-20
Solve -45*q = 171 + 369 for q.
-12
Solve -117*d + 395 = -196*d for d.
-5
Solve 41*z + 4 = -38 + 1 for z.
-1
Solve -2767*x = -2713*x - 1242 for x.
23
Solve 58*l = -15*l + 91*l - 72 for l.
4
Solve -49*t + 6046 - 4870 = 0 for t.
24
Solve -136*j = -840 - 248 for j.
8
Solve 1955*c = 1809*c - 3066 for c.
-21
Solve 0 = 23*n + 138082 - 138151 for n.
3
Solve -26*j - 138 = -37*j + 149*j for j.
-1
Solve -48*b - 20*b - 19 = 49 for b.
-1
Solve -29*c = -66*c + 20*c - 85 for c.
-5
Solve -903*s - 90 = -888*s for s.
-6
Solve 4289 = -11*h + 2105 + 2107 for h.
-7
Solve 87*v + 19*v = -22*v - 256 for v.
-2
Solve 67*c - 620 = 32*c - 25 for c.
17
Solve 0 = -17*v - 296525 + 296950 for v.
25
Solve -140*r - 63 = -102 - 241 for r.
2
Solve 342*c - 289*c = 1242 + 295 for c.
29
Solve -48*u = -211*u - 4075 for u.
-25
Solve -192 = 288*g - 336*g for g.
4
Solve -16*s + 24 = -13*s - 18 for s.
14
Solve 6*o + 12891 = -5*o + 12825 for o.
-6
Solve 304*n + 198*n = -351*n - 853 for n.
-1
Solve -53*c = 62*c - 8*c + 2247 for c.
-21
Solve -30*y + 135 = -26 - 169 for y.
11
Solve 537*g = 534*g - 48 for g.
-16
Solve -26153*c - 26070*c + 52279*c - 952 = 0 for c.
17
Solve -241*c + 239*c - 16 = 0 for c.
-8
Solve -653 = -11*i + 515 - 1014 for i.
14
Solve -8133*m + 8166*m = 759 for m.
23
Solve -438*f - 419 = 84 - 65 for f.
-1
Solve -27 + 46 = -5*g - 66 for g.
-17
Solve -75*a - 188*a + 5213 = 138*a for a.
13
Solve -i = 28737 - 28722 for i.
-15
Solve 4976*t - 4456*t + 17160 = 0 for t.
-33
Solve -278 - 354 = 23*w - 333 for w.
-13
Solve 346*z - 4158 = -32*z for z.
11
Solve -111 = 14*j - 5*j + 96 for j.
-23
Solve -504 = 72*s + 72 for s.
-8
Solve -65*f - 721 + 55 = 9*f for f.
-9
Solve -1940*n + 5751 = -2579*n for n.
-9
Solve -608*y + 590*y = -252 for y.
14
Solve 452 = -28*g + 60 for g.
-14
Solve -51*v + 395 = 9*v - 505 for v.
15
Solve 2672 = -121*r + 736 for r.
-16
Solve -645 = 33*d - 76*d for d.
15
Solve -3*a + 4*a - 336 = -340 for a.
-4
Solve 281 = -265*k + 83 - 332 for k.
-2
Solve 0 = 33*c + 178 + 86 for c.
-8
Solve 185 - 255 = -35*s for s.
2
Solve -8008 - 912 = 892*l for l.
-10
Solve 0 = 17*z - 2768 + 2581 for z.
11
Solve 52360 = -1372*r + 12572 for r.
-29
Solve 33*w - 146 = -21*w - 38 for w.
2
Solve 1894*i - 28 = 1880*i for i.
2
Solve 84 = -3*u + 12*u - 2*u for u.
12
Solve 379*u - 424 = -45*u for u.
1
Solve 236*y + 149*y + 643 = 6033 for y.
14
Solve -13*t + 352 = 248 for t.
8
Solve -145*d - 1671 - 939 = 0 for d.
-18
Solve -9*p - 16 = -p for p.
-2
Solve 374 = -38*b - 6 for b.
-10
Solve 20*c = -3*c - 115 for c.
-5
Solve -51*z + 11 + 41 + 50 = 0 for z.
2
Solve -34*s + 183 - 1163 = -104*s for s.
14
Solve -10*t - t - 12 = 21 for t.
-3
Solve -11*u - 985 = 179*u + 1295 for u.
-12
Solve -91*d + 1593 = 185 + 225 for d.
13
Solve 0 = -13*i + 22*i - 7*i - 18 for i.
9
Solve -33*j + 24*j - 531 = 50*j for j.
-9
Solve -2367*l + 21813 = -3028*l for l.
-33
Solve 0 = 3496*v - 3346*v + 1050 for v.
-7
Solve -5*t + 3*t + 16 = -10 for t.
13
Solve 7392*q = 7374*q + 234 for q.
13
Solve 111*u + 83 - 293 = 41*u for u.
3
Solve 5*w = -16*w - 49*w - 280 for w.
-4
Solve -32*a + 27 = -35*a for a.
-9
Solve -4*w = 78*w + 64*w + 2044 for w.
-14
Solve 523*y = -4754 - 3876 - 5491 for y.
-27
Solve -35*x + 485 = 62*x for x.
5
Solve 2258 - 1802 = -19*w for w.
-24
Solve -53*w - 173*w - 5876 = 0 for w.
-26
Solve 653 = -19*k + 83 for k.
-30
Solve -33*t + 88*t - 220 = 0 for t.
4
Solve 36*z - 324 = 52*z - 43*z for z.
12
Solve 56*h = -137*h - 9001 + 6106 for h.
-15
Solve 373*f + 1688 = 569 for f.
-3
Solve 39*i - 111 = -9*i + 513 for i.
13
Solve -460 = 146*r - 192*r for r.
10
Solve 72*i = 107 - 899 for i.
-11
Solve 91*a + 607 = 334 for a.
-3
Solve 3398*r + 297 = -3399*r + 6830*r for r.
9
Solve 55*v + 538 = -11 - 331 for v.
-16
Solve 79 = -42*q + 373 for q.
7
Solve 24*m - 44 = 277 + 63 for m.
16
Solve 109*d + 1125 = 64*d for d.
-25
Solve 0 = -56*o - 544924 + 546212 for o.
23
Solve -31*r + 43 + 147 = 4 for r.
6
Solve 21*d = 182 - 35 for d.
7
Solve 0 = 51391*i - 51279*i - 4592 for i.
41
Solve 139*p + 59*p + 3564 = 0 for p.
-18
Solve 0 = 258*q - 208*q - 950 for q.
19
Solve 39*w + 51*w = 90 for w.
1
Solve 84*x + 80*x = 47*x - 936 for x.
-8
Solve -336*v + 238*v + 1076 = -198 for v.
13
Solve 219*c + 48 = -1485 for c.
-7
Solve 89*m = -65*m - 616 for m.
-4
Solve -34*v + 447 = -141*v + 2266 for v.
17
Solve -753 = -14*j - 921 for j.
-12
Solve -24 = 394*r - 392*r for r.
-12
Solve 74*o + 154 = 165*o - 69*o for o.
7
Solve -41*a - 461 + 277 = 595 for a.
-19
Solve 55*v + 24 = 27*v + 31*v for v.
8
Solve 24*a - 4*a - 225 = 5*a for a.
15
Solve 2*u - 46*u + 273 = -5*u for u.
7
Solve 115 = 85*a - 99*a + 3 for a.
-8
Solve -154*j + 762 = -281*j for j.
-6
Solve 107 = -349*x + 1903 - 51 for x.
5
Solve -145*p + 968 = -24*p for p.
8
Solve 70 = -536*d + 550*d for d.
5
Solve 4302*q = 4309*q - 140 for q.
20
Solve -6520*r + 1140 = -6463*r for r.
20
Solve -119 = -70*j + 19 + 142 for j.
4
Solve -30*u - 20*u - 579 = 71 for u.
-13
Solve -9*c = -14197 + 14305 for c.
-12
Solve 8 = -17*a - 6 - 3 for a.
-1
Solve 24*z - 41*z - 189 = -529 for z.
20
Solve 11*k - 48 - 216 = -13*k for k.
11
Solve 25*z + 129*z + 1936 = -22*z for z.
-11
Solve -4596 + 4716 = -8*u for u.
-15
Solve -122*g - 141*g = -66*g + 3152 for g.
-16
Solve 65*f = 197*f + 792 for f.
-6
Solve -3*g = 13*g - 336 for g.
21
Solve -50*b + 205 = -95 for b.
6
Solve -124*q - 131*q = 35*q + 5800 for q.
-20
Solve -8130 = 8*k - 7810 for k.
-40
Solve 136*r = 289*r + 230*r - 11107 for r.
29
Solve 67*t - 49*t = 33*t - 30 for t.
2
Solve -170*h + 737 + 963 = 0 for h.
10
Solve -1775 = 55*y + 40 for y.
-33
Solve -301*s + 142*s - 16434 = 588*s for s.
-22
Solve 10*v - 2*v = -34*v - 882 for v.
-21
Solve -126*u = 475 + 232 + 49 for u.
-6
Solve 38*t - 51 = 2*t - 375 for t.
-9
Solve -5770*q = -5911*q + 564 for q.
4
Solve -1770 - 714 = -2112*s + 2043*s for s.
36
Solve 15068*h = 15078*h - 30 for h.
3
Solve 1185*s - 1186*s = -1 for s.
1
Solve 34558*w = 34569*w + 253 for w.
-23
Solve 111*m = -12*m + 1476 for m.
12
Solve -33*x + 45 = -5*x - 235 for x.
10
Solve -1674 = 161*h + 1546 for h.
-20
Solve -680*a + 4679 - 15559 = 0 for a.
-16
Solve 2201*x - 720 = 2121*x for x.
9
Solve 4246 = 126*q + 1089 - 245 for q.
27
Solve -71*o + 863 = -983 for o.
26
Solve -19*y - 69 - 66 = -4*y for y.
-9
Solve 52*h + 307 = -1513 for h.
-35
Solve -4033 = -306*f - 1585 for f.
8
Solve 60*a - 47*a = 51 + 1 for a.
4
Solve 0 = -784*d + 846*d + 434 for d.
-7
Solve -824 + 2329 = 28*m + 15*m for m.
35
Solve 97*r - 167*r - 785 = -155 for r.
-9
Solve -57*q - 343 - 284 = 0 for q.
-11
Solve 0 = -7*y + 2*y + y + 20 for y.
5
Solve -25*b + 16361 = 15961 for b.
16
Solve -2*k + 7*k + 17 = -8 for k.
-5
Solve 1879*a - 49119 + 265 = 0 for a.
26
Solve -16*b = -27 - 21 for b.
3
Solve 21*d + 9*d = 21*d - 9 for d.
-1
Solve 165466 = 29*r + 164973 for r.
17
Solve -32*a - 19 - 15 + 34 = 0 for a.
0
Solve 47*z - 1218 = -20*z - 20*z for z.
14
Solve 58081 = -26*v + 58965 for v.
34
Solve 161*u = 174*u - 91 for u.
7
Solve 370 + 180 = 52*t - 74 for t.
12
Solve -279*l = -293*l + 126 for l.
9
Solve -196*r = -49*r + 1029 for r.
-7
Solve -12*o = -11*o - 19*o + 162 for o.
9
Solve -4*n + 3*n = -35 + 43 for n.
-8
Solve 2216 = 134*q + 340 for q.
14
Solve 74 = -2*f - 75 + 147 for f.
-1
Solve 711*n = 728*n - 136 for n.
8
Solve 1365*y - 7*y + 42098 = 0 for y.
-31
Solve -5628 = -120*p + 388*p for p.
-21
Solve -8*n + 34 = -6 for n.
5
Solve -247796*x = -247755*x - 984 for x.
24
Solve -37*h = -1280 - 52 for h.
36
Solve -1353*a + 1361*a = 9 - 1 for a.
1
Solve -61*b + 1338 = 43*b + 298 for b.
10
Solve -12 + 15 = -l + 8 for l.
5
Solve 2944*i = 3023*i - 2370 for i.
30
Solve 41*r + 976 = -1064*r + 35231 for r.
31
Solve 2491*l + 1300 + 174 = 2558*l for l.
22
Solve 20*o + 20 - 40 = 0 for o.
1
Solve 293*n - 728 = 111*n for n.
4
Solve 55*y - 195 = 13*y + 27*y for y.
13
Solve -724*o + 14103 - 11363 + 14636 = 0 for o.
24
Solve -58*n + 305 + 243 + 32 = 0 for n.
10
Solve 0 = 6*g - 159533 + 159437 for g.
16
Solve 42*o = 663*o + 17388 for o.
-28
Solve -2*m - 869 + | {
"pile_set_name": "DM Mathematics"
} |
*(1/17)*(l*l**(-23))/l))**(-10) assuming l is positive.
l**(-1925/8)
Simplify (x**(2/7)/x*x*x*x*x**(-5)*(x**(1/4)/x)**(-1/9))/(((x*x**1/x)/x*x)**(18/7)/(x**(-1)/x*x*x)**9) assuming x is positive.
x**(-437/84)
Simplify (l/l**(-6)*l**(1/2))**17/((l**(-1/3))**(-11))**32 assuming l is positive.
l**(61/6)
Simplify (((q**(2/3))**(5/8)*(q/((q/q**(1/7))/q*q)*q)/q**(1/11))**50)**(-1/23) assuming q is positive.
q**(-1475/462)
Simplify ((v**(-4)*v/(v/v**(-10)))/(v**(-1/14))**(-4))**(-39) assuming v is positive.
v**(3900/7)
Simplify ((p**4/p**(-1))/((p*p*p**(-9))/p**(5/3)))/(p**(1/8)*p*p**(-9)*p)**(2/95) assuming p is positive.
p**(3149/228)
Simplify ((((p*p/p**4)**(15/2))**(3/25))**(3/8))**(4/7) assuming p is positive.
p**(-27/70)
Simplify ((((y**(-31)/y)/y)/(y*y**(-11/3)))**25)**(-29) assuming y is positive.
y**(65975/3)
Simplify ((((i*i**(1/4)*i*i)/(i/i**(-24)))**(-32))**(-2/5))**22 assuming i is positive.
i**(-30624/5)
Simplify (a**(-2)/(a**(-3)*a))**(-16/5)*((a**(2/7)/a)/a**(-1))**15 assuming a is positive.
a**(30/7)
Simplify (((o/o**(3/5))/(o*o**7))/((o*o**(-6))/(o**(-5)/o)))/((o*o**(-1/4))**47*o**(-1/5)/((o**6/o)/o)) assuming o is positive.
o**(-793/20)
Simplify (((n**(-4)*n)/n*n/n**2)/((n**(-1/5)/n)/n**(-2)))/((n**(-1/7)/n**6)/(n**1)**(-3/11)) assuming n is positive.
n**(27/385)
Simplify (p*p/p**(-1)*p*p*p*(p*(p/(p*p*p*p*p**(1/3)*p))/p*p)/p)**(2/21)*((p*p**1)**(-15))**(-42) assuming p is positive.
p**(79390/63)
Simplify (((i/(i**5/i))/(i/i**(-3)))/(i**(-5)*i/((i*i**(-2/13))/i*i)))/(i**(-5)*(i**2*i)/i*(i*(i/i**(4/5))/i*i)/i*i**(-2)) assuming i is positive.
i**(172/65)
Simplify (p**(2/7))**(-32)/(p*p**5*p/(p*p/(p**4/p)))*((p**(1/4)*p)/p**1)**(-1/6) assuming p is positive.
p**(-2887/168)
Simplify ((((d**2/d*d)/d)**(5/2)/(d*d/(d/(d/(d/d**2)*d))*d)**(-5/11))**(24/7))**(-33) assuming d is positive.
d**(-540)
Simplify ((((s**(-2)*s)/s)**(-1/47)/(s/s**15*(s*s/(s*s**1))/s))**(-37))**(-42) assuming s is positive.
s**(1098678/47)
Simplify (((i**19/((i*i**12)/i))**45)**(-24))**(-1/7) assuming i is positive.
i**1080
Simplify (((a/a**(-4))**(7/13))**45)**(-2/165) assuming a is positive.
a**(-210/143)
Simplify (((t*t/(t*t**(1/2)*t)*t)/t)**(-48)/(t**(-1))**(42/11))**(2/103) assuming t is positive.
t**(612/1133)
Simplify u**(-1/10)/(u/(u*u**(-5)))*(u**(1/4))**11*(u/u**(5/3))/(u*u**6)*u*u**(-4)*u**(-3/2)/u*u assuming u is positive.
u**(-871/60)
Simplify j**(-11)*j**(3/35)*(j/(j*(j**(2/75)*j)/j*j))/(j/j**33*j) assuming j is positive.
j**(10006/525)
Simplify (b**(-29)/b**(-20))/((b/b**(-16)*b)/b**(2/7)) assuming b is positive.
b**(-187/7)
Simplify ((l*l*l*l*l**(2/5)*l)**(-26/3)/(l/(l*l*l**(-1/7)/l)*l**19))**37 assuming l is positive.
l**(-85396/35)
Simplify c/(c**(3/13)*c)*(c**(-2/11)*c)/c*(c**(-3/14))**(-33) assuming c is positive.
c**(13331/2002)
Simplify (l**5/((l/l**(-4/5))/l))/(l**(-1)/(l/l**(-4)))*(l**5/l**(2/19))**(7/10) assuming l is positive.
l**(2589/190)
Simplify (r**(-2/3))**(-12/11)*r**(1/14)/r*r*(r**(-3/4)*r)/r*(((r*r**(-3))/r)**3)**(-2/65) assuming r is positive.
r**(6519/20020)
Simplify ((j**(-1/3))**(2/37)/(((j*j*j**(-3))/j)/j)**14)**(-22/5) assuming j is positive.
j**(-20504/111)
Simplify ((t*t*t**(-1)*t)/(t/(t**(2/17)*t)))/(t**(-1)/(t*(t**4/t*t)/t*t))*t/((t/(t/t**(-2/3)))/t)*t**(-2)*t**(-1/4)/t**(2/7) assuming t is positive.
t**(11779/1428)
Simplify (l*l**(-1)*l/((l*l*l/l**(2/5)*l)/l))/(l**(2/13)/(l*l*l/(l**(-6/5)/l)))*l*l**5*l*l/l**(-1)*l*(l*(l**(-2/5)*l*l)/l)/l*l**(-7) assuming l is positive.
l**(458/65)
Simplify ((((o*o**(-15))/o)/(o*o**(-10))*o**(-14)/(o**(2/13)/o))**(7/8))**(-6) assuming o is positive.
o**(5229/52)
Simplify (a*a*a**(-4/15)*a*a)/a**(-2/5)*(a/a**(-3/4))/a*a*((a/a**42)/a)/a assuming a is positive.
a**(-2227/60)
Simplify (p/(p**(-2/9)*p)*p/p**(-2))**12/((p/p**(-8))/p**0*p**(5/7)/(p**4*p)) assuming p is positive.
p**(713/21)
Simplify ((m*m*m**13*m)/(m**(-17)/m))/(m**(-31)/m*m**(6/5)) assuming m is positive.
m**(324/5)
Simplify (((g*g**(-7)*g)/g)/((g/g**(-8/5))/g))**(3/38)/((g/g**(-3)*g*g*(g**(-2/17)/g)/g*g)/((g*g**(-2/21))/g**(-2/5))) assuming g is positive.
g**(-7457/1785)
Simplify (g/g**0)**(-2/41)/(g*g**(-2)*g**5/g)*(g*(g*g**1)/g)**(2/29)*(g/g**(1/2))**(3/23) assuming g is positive.
g**(-155639/54694)
Simplify ((g**(10/3)/((g/g**(-34))/g))**(-3/49))**(2/15) assuming g is positive.
g**(184/735)
Simplify (r*r**1*r**(2/7)*r*r*r/(r**(3/7)/r)*r*r/r**5)/(r/(r*r*(((r*r**4*r*r)/r)/r)/r)*(r*r**0/r)/r*r)**41 assuming r is positive.
r**(1455/7)
Simplify (s*s/s**(-5/2)*s/(s*((s*s*s**0)/s)/s*s*s))**50*(((s/s**5)/s)/(s*s**(-2/3)))**(6/23) assuming s is positive.
s**(2843/23)
Simplify ((n*n**(3/7)*n)**(-6/13)/((n*n**(4/3))/(n**(2/9)/n)))**(4/15) assuming n is positive.
n**(-13864/12285)
Simplify (o*(o*o**(-3/2)*o)/o)/(o*o**1)*o/o**6*(o**(-2)/o)/o*(o**(2/5)/o)**(1/5)*(o/o**(-6))/(o**(-3)/o) assuming o is positive.
o**(19/50)
Simplify ((y*y**45)**(2/3)*(y**(-3/8))**(-10))**21 assuming y is positive.
y**(2891/4)
Simplify ((t**0*t*t**17)**(-17/4))**(1/14) assuming t is positive.
t**(-153/28)
Simplify (((f/(f**(-6/5)/f))/f)/f**(-2/11))/(((f/((f/f**(-7))/f))/f)/(f/(f**(-3)*f)))*((f/f**(-2)*f)**22)**(-1/49) assuming f is positive.
f**(28529/2695)
Simplify (((q*q**10)/q)/(((q**(4/3)/q)/q)/q))**(-2/11)/((q**(-1/2))**(-50)*((q*q*q**(-2/5))/q*q)**(-4/19)) assuming q is positive.
q**(-83969/3135)
Simplify ((l**(9/7)*l)/l**4*(l/(((l/(l*l**5*l))/l*l)/l*l*l)*l)/(l/l**(7/4)))**(1/3) assuming l is positive.
l**(169/84)
Simplify (d**(-1/2)/(d*d**(1/9)))**(1/18)*(d*d/d**(-1/3))**(-29)/(d**1)**(-4/5) assuming d is positive.
d**(-108469/1620)
Simplify (g/(g/(g*g/(g/(g*g*g/(g*g/(g/(g/(g*g**(-21))))*g*g)))*g*g)*g))/g**(-38)*(g/(g/g**15))/((g**(-10/11)*g)/g) assuming g is positive.
g**(384/11)
Simplify (j**(-1/6)*j)/(j/(j**(-7)/j*j))*((j*(j/j**1)/j)/j)**(13/3)*j*j**(-2/7)*(j**(-2/13)*j)/j*((j*j**0)/j)**23 assuming j is positive.
j**(-1991/182)
Simplify (v**1)**(-16/3)/(v*(v*v/(v**(-5)*v))/v*v**(3/2))*(v**(-2)*v**(-6)*v)/((v/(v*v**(-2/11)))/(v**(3/8)/v)) assuming v is positive.
v**(-5449/264)
Simplify ((r/r**(8/5)*r)**41/(r**(4/9)*r/(r**(-9/4)*r)*r*r))**(-3/7) assuming r is positive.
r**(-301/60)
Simplify (m**(-8)/(m/m**(-4)*m))/(m**(1/5))**(-8) assuming m is positive.
m**(-62/5)
Simplify (((m*m/(m*m*m*(m/(m/(m/(m*m*m**0))))/m))**35/(m*m/m**(-2)*m)**(-3/5))**2)**(-2/143) assuming m is positive.
m**(-152/143)
Simplify ((t/(t*t**(-17)))/(t/t**(2/45))*t/t**(3/2)*t*t*t**(-1/14))**(-1/21) assuming t is positive.
t**(-5504/6615)
Simplify (((y*y/y**2)/y**(-6)*(y/(y*y/y**(1/4))*y)**(-1/7))**(7/3))**(1/7) assuming y is positive.
y**(167/84)
Simplify (((m**(-1)*((m/m**(-6))/m)/m)/(m/m**4*m*m**(7/4)/m))**(2/5))**(-3) assuming m is positive.
m**(-63/10)
Simplify (o**(1/3)*o/o**6*(o**(2/15)/o)/o*o*o/(o*o**6))/(((o*o/(o/o**(-1/2)))/(o/o**9))/((o/(o**0*o))/o*((o*o**(7/3)*o)/o)/o)) assuming o is positive.
o**(-187/10)
Simplify n*n/n**5*n*n/n**(11/2)*n**(15/7)*n*n**(2/107)/n assuming n is positive.
n**(-6499/1498)
Simplify (((q*(q*q*q**(-2/11)*q)/q*q)/(q*q/(q*q/q**(10/3))))/(q**(-19)/(q*q**(-20))))**(-19) assuming q is positive.
q**(-304/33)
Simplify (f**(-5)*f*f**(4/3)/f)**(-3/8)*(f**2)**8*f**(-8)/f**8 assuming f is positive.
f**(11/8)
Simplify (k/(k*k*k*k/(k*k*k*((k*(k/(k*k*k**(-2/9)))/k)/k)/k)*k)*k*k**14*(((k**6*k)/k*k)/k)/k**(-13))**37 assuming k is positive.
k**(10064/9)
Simplify (x**(-18)/(x/(x/(x*x*x**9*x))))/(x/x**(3/2))**(-8) assuming x is positive.
x**(-34)
Simplify (l/l**(-6)*l**(-2/9)*(l**(2/7)*l)/(l**3/l))/(l**0*l/(l**1*l)*(l**(3/7)*l*l)/(l/(l**(2/5)/l))) assuming l is positive.
l**(1964/315)
Simplify (((r/r**8*r)/r)/(r*r**(-2)/r*r)*r**(-5)*(r/((r/((r**3*r)/r))/r)*r)/r)/((r/(r/r**(-6/11)))/r*r*r**(-3/11))**(-1/3) assuming r is positive.
r**(-80/11)
Simplify (f*f**18)/f**(-3/34)*f**(-35)/f**(-32) assuming f is positive.
f**(547/34)
Simplify (((n*n**26/n)/n**7)**(-47))**(5/4) assuming n is positive.
n**(-4465/4)
Simplify (j**(3/2)*j*j/(j*(j/(((j**(-2/37)/j)/j)/j))/j)*j**0*j*j**(3/5))**(-45) assuming j is positive.
j**(-3483/74)
Simplify (b*b**10*b*b**(-2/13)*b)**(1/37)*((b*b**5*b)/((b**(-1/4)/b)/b))/(b**(-2/11)*b*b**1) assuming b is positive.
b**(164635/21164)
Simplify (r**(-6)*(r/(r*r**(-3)))/r*r)/(r**(2/19)*r**(-2/7)/r)*(r**1)**(-2/41)/((r**7/r*r)/(r*(r/(r/(r*r**(-2/ | {
"pile_set_name": "DM Mathematics"
} |
484 + 777 for l.
-6
Solve -596*g + 15203 + 46700 = 698*g + 12731 for g.
38
Solve 0 = -169*z - 11569822 + 11551232 for z.
-110
Solve -3008*q - 429125 - 142015 = -675*q + 4013*q for q.
-90
Solve 619*z - 3595 + 4083 - 17201 = 0 for z.
27
Solve -64394*z + 7421 = -64213*z for z.
41
Solve 0 = -39*d + 372 + 847 - 634 for d.
15
Solve 9171*i + 3305*i - 2586*i = 108790 for i.
11
Solve -35*l + 1207 = 151*l + 7525 + 6330 for l.
-68
Solve -1227 = 499*c + 10009 - 258 for c.
-22
Solve 100*a - 63*a = -104*a - 10857 for a.
-77
Solve -9618 = 52*h - 301*h + 251*h + 227*h for h.
-42
Solve 2*j + 21 = 43 + 16 for j.
19
Solve -5265*w = -1355*w + 312800 for w.
-80
Solve -2184*s - 39940 = -16204 + 194664 for s.
-100
Solve 562*g - 37884 = -40694 for g.
-5
Solve -757*h - 16050 = 48295 for h.
-85
Solve 243*a + 4742 = -399*a + 5*a - 53225 for a.
-91
Solve -760*k + 13898 + 53285 = 138*k - 10045 for k.
86
Solve -130*r - 221560 - 209706 = -2227*r - 154462 for r.
132
Solve -82*s + 1583 + 5927 = -546*s + 86 for s.
-16
Solve 594*s + 201040 = 1185*s + 1204*s for s.
112
Solve -301*m - 329*m + 295 = -635*m for m.
-59
Solve 0 = -2785*p - 2378*p + 77926 - 459988 for p.
-74
Solve -251*l + 355019 - 131549 = 3187*l for l.
65
Solve -3564 = 9537*i - 9855*i - 6568 - 7172 for i.
-32
Solve -2730*z = -1833*z + 117507 for z.
-131
Solve 1229 = 30*d + 2922 - 367 - 336 for d.
-33
Solve 84*a + 221*a + 523 + 4069 = -23*a for a.
-14
Solve 24078*s - 9785 = 23975*s for s.
95
Solve 702971 = -6412*n - 7628*n - 265789 for n.
-69
Solve 5*k = -215*k + 9*k - 2954 for k.
-14
Solve 971378 - 98328 + 580306 = -40360*o - 120684 for o.
-39
Solve -766*x - 3936 = -4759 - 37477 for x.
50
Solve 1294*f + 11010 = 60182 for f.
38
Solve 3272*y + 14675 = 562*y + 174565 for y.
59
Solve 10*o - 5680 = -87*o - 1412 for o.
44
Solve 114*x + 1472 = 3564 + 1784 for x.
34
Solve -253*w = -3*w - 1097533 + 1107033 for w.
-38
Solve 2285*w + 624*w - 5818 = 0 for w.
2
Solve 0 = -51850*h + 52050*h - 7400 for h.
37
Solve 13748 = -831*z - 31378 - 8889 for z.
-65
Solve -10*k - 14066*k + 415759 = -1357817 for k.
126
Solve -669*y + 68893 + 134843 = -2416*y - 212*y for y.
-104
Solve 1489055 = -134*z + 1499373 for z.
77
Solve -1376567*j + 1376698*j = -1965 for j.
-15
Solve 7080 = 388492*t - 387784*t for t.
10
Solve 62*l + 411 - 384 = -3259 for l.
-53
Solve -12299*j + 549164 = -2319*j - 558616 for j.
111
Solve 2093*t - 7893 = 8742 + 23132 for t.
19
Solve -1284945*m - 11270 = -1284847*m for m.
-115
Solve 660*f + 1456*f + 2377*f = -17972 for f.
-4
Solve -266825*n + 774 = -267119*n - 25686 for n.
-90
Solve -190684 = 9763*g + 94845 - 70743 for g.
-22
Solve 31*a + 157*a = 1316 for a.
7
Solve -23*a - 1534291 = -1533601 for a.
-30
Solve -22*m - 5*m - 7709 = -7817 for m.
4
Solve 10*r - 73*r = 241 + 739 + 721 for r.
-27
Solve 1512 = 2281*a - 2218*a for a.
24
Solve 79511 - 9788 = 1143*a for a.
61
Solve -971*y + 1970*y - 986*y = -13 for y.
-1
Solve -1030 + 54 = -488*u for u.
2
Solve 3771*b - 165772 + 59093 = -48444 + 201964 for b.
69
Solve -555*t + 1315*t = -22040 for t.
-29
Solve -90*a + 9718 = -3795 + 1903 for a.
129
Solve -16*c = 222595 - 222163 for c.
-27
Solve -2272*r - 352485 = 3323*r for r.
-63
Solve 0 = -223*o + 114*o - 31*o - 5460 for o.
-39
Solve -365*o + 10968 = -1138*o - 28482 - 13887 for o.
-69
Solve 190*d + 4368 = 105*d - 33*d - 155*d for d.
-16
Solve 0 = -44*z - 43*z + 91*z - 92 for z.
23
Solve 401*h - 290 = -426*h + 798*h for h.
10
Solve -207*g + 12277 = 123*g + 727 for g.
35
Solve -248682 = 2885*u + 117713 for u.
-127
Solve -995*y + 1074*y - 3293 + 190401 = 3305*y for y.
58
Solve 112*w - 365*w + 4943 - 10872 = 6721 for w.
-50
Solve -74*i + 208*i = -57*i - 6685 for i.
-35
Solve -18593 - 697 = 400*z + 243*z for z.
-30
Solve -145 + 297 = -151*m - 5044 - 4468 for m.
-64
Solve -1144*a + 4753 + 1431 = -5256 for a.
10
Solve 1333*m + 48051 + 4643 + 96400 = -1428*m for m.
-54
Solve 37068 = -818*w + 17436 for w.
-24
Solve 84*n = 429*n + 1380 for n.
-4
Solve -2831*m + 1877*m - 5343*m + 83216 = -353*m for m.
14
Solve -606*g - 3836 = -548*g - 356 for g.
-60
Solve 0 = 285*h - 6*h - 188*h - 1456 for h.
16
Solve 351*w - 9541 = 220*w + 3000 - 1799 for w.
82
Solve 100640 = -1187*f + 4328*f + 4*f for f.
32
Solve 312*w - 27406 + 1822 = 0 for w.
82
Solve -252*k = -2488*k - 71552 for k.
-32
Solve 0 = -1381*v + 2599*v + 57246 for v.
-47
Solve -25349*h - 483338 - 2451542 = -1360*h - 8222 for h.
-122
Solve 69*t + 22046 - 43252 + 25553 = 0 for t.
-63
Solve 0 = -10*n - 29*n + 14*n + 251 - 26 for n.
9
Solve -1302*u + 17903 = -8675 - 8576 for u.
27
Solve -77857 = -360*d - 64177 for d.
38
Solve 7285*n - 177660 = 3505*n for n.
47
Solve 194*h + 740 = 104*h + 16*h for h.
-10
Solve 0 = -47*q - 56*q + 220*q - 1872 for q.
16
Solve -1976*q = -6485 + 557 for q.
3
Solve -6434 + 687 = 383*l + 6501 - 2673 for l.
-25
Solve -473*l - 2032*l = 8214 + 6816 for l.
-6
Solve 0 = 205*c - 407*c + 214*c + 170 - 1166 for c.
83
Solve -2196*g + 56334 = -114954 for g.
78
Solve -767969*z + 234 = -768008*z for z.
-6
Solve -488*n = -1076*n + 1292*n - 40832 for n.
58
Solve -88 = -28*c - 31*c + 61*c - 114 for c.
13
Solve -4185*f = -2994*f + 65505 for f.
-55
Solve -33902 + 16709 = -521*u for u.
33
Solve -2985 - 2295 = 111*f + 33*f - 48*f for f.
-55
Solve -720*r - 578*r - 70634 = -314*r - 9626 for r.
-62
Solve 19220 + 153040 = 1914*p for p.
90
Solve 350*p - 4467 = 11983 for p.
47
Solve -1602*m - 10849 + 357 = 1128*m + 19538 for m.
-11
Solve -537*o + 603*o + 1319*o = -72020 for o.
-52
Solve 148996*l - 150273*l + 14801 = -92467 for l.
84
Solve 7201*n + 37982 + 62340 = 6227*n for n.
-103
Solve -538*f = -371*f - 7348 for f.
44
Solve 418919*h + 3750 = 418869*h for h.
-75
Solve -5002295 = 214*u - 4991167 for u.
-52
Solve -1271*g + 568*g = -505*g - 923*g - 21750 for g.
-30
Solve -2964*t + 3264 + 3399 + 2229 = 0 for t.
3
Solve -52 = -84*g - 154*g + 4946 for g.
21
Solve 42603*f = 42736*f + 6384 for f.
-48
Solve 72*i + 82*i = -162*i + 51*i - 7950 for i.
-30
Solve -1613*h = 16215 + 52540 + 39316 for h.
-67
Solve -16853*h = -16905*h + 2340 for h.
45
Solve -626*s + 19728 = -1098*s - 761*s for s.
-16
Solve 165*o + 7252 - 3691 = -2887 - 12032 for o.
-112
Solve -8756*f - 203675 = 225369 for f.
-49
Solve -18498 + 975 = 649*n for n.
-27
Solve -6800 = 56054*w - 55918*w for w.
-50
Solve -1607350 = 13478*v + 5432*v for v.
-85
Solve 97*j + 194*j + 19085 = -6*j - 50*j for j.
-55
Solve 354693*s + 1078 = 354595*s for s.
-11
Solve -1320 - 2888 = -131*d + 3226 + 33 for d.
57
Solve -617*d - 1854 - 6812 - 9227 = 0 for d.
-29
Solve -52*r + 19787 + 2997 = -230*r for r.
-128
Solve -71*o = -1990 - 5607 for o.
107
Solve 358*c - 266*c + 1160*c + 1226*c - 143724 = 0 for c.
58
Solve -71*f + 14*f + 43*f = -83*f + 552 for f.
8
Solve 37*s - 175*s = 6*s - 8064 for s.
56
Solve -1257 = -2636*q + 3488 - 1658 + 4821 for q.
3
Solve -852*b - 846*b = -1720*b + 1100 for b.
50
Solve 35134 = 61*q - 2938*q - 52866 - 29957 for q.
-41
Solve -798*t - 787*t + 9088 = -1443*t for t.
64
Solve 210*a = -2952*a - 2954*a + 556*a + 289120 for a.
52
Solve 1288*h - 1755 - 31024 = 20029 for h.
41
Solve 8787*x - 8777*x - 70 = 0 for x.
7
Solve 1385*p + 1717 + 688 = 1320*p for p.
-37
Solve -16667 + 6282 - 34855 = -348*d for d.
130
Solve 4372*t + 391184 = -256*t + 376*t for t.
-92
Solve 92 = -23*t + 598 for t.
22
Solve -1540*d - 29684 = 8791 + 23125 for d.
-40
Solve 6210 = -54*c + 3108*c - 112738 - 131480 for c.
82
Solve -387 - 12049 = -367*n + 16785 + 139 for n.
80
Solve 34*t - 3115 + 2945 = 0 for t.
5
Solve 0 = -1610*g + 203113 - 341573 for g.
-86
Solve 3152*l = -860*l - 4024*l + 594664 for l.
74
Solve 2205*g - 6599*g - 104157 = -2927*g for g.
-71
Solve 3650016*q + 41044 = 3650678*q for q.
62
Solve 0 = 2714*f - 2707*f + 21 for f.
-3
Solve 2020*z + 9051*z + 849 - 51006 + 5873 = 0 for z.
4
Solve 133*u + 962 + 651 = 2677 for u.
8
Solve -129*k + 24762 = 12765 for k.
93
Solve -128981 = 214*z - 140537 for z.
54
Solve -53*q = -1893 - 472 + 86 for q.
43
Solve -20315*s + 148070 = -18105*s for s.
67
Solve 14917*o + 15129*o + 37050 = 30436*o for o.
95
Solve 132*q - 410*q + 144*q + 161*q + 1431 = 0 for q.
-53
Solve 0 = -48*i + 3759 - 4671 for i.
-19
Solve -8*a - 9946 + 9570 = 0 for a.
-47
Solve -506*q = 11 + 14157 for q.
-28
Solve 136296 = -5429*r - 151441 for r.
-53
Solve | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2.
23887*l**2 + 4
Collect the terms in 1883*h**2 - 3764*h**2 + 1886*h**2.
5*h**2
Collect the terms in -91*n**2 + 15550 - 15550 + 3*n - 3*n + n**3.
n**3 - 91*n**2
Collect the terms in 9*o**2 + 4*o**2 - 34*o**3 - 13*o**2 + 342*o**3.
308*o**3
Collect the terms in -223 - 2*o - 936 - 479.
-2*o - 1638
Collect the terms in -81 + 143*h + 81.
143*h
Collect the terms in -3*l - 31*l - l - 31*l.
-66*l
Collect the terms in -9243*n**3 + 18488*n**3 - 9239*n**3.
6*n**3
Collect the terms in -15186*t**3 - 8 + 8.
-15186*t**3
Collect the terms in 2*c - 3*c + c + 89*c**2 - 102*c**2.
-13*c**2
Collect the terms in 2374 + 2363 - 4737 + 78*m - 80*m.
-2*m
Collect the terms in -4*r - 14*r + r + 2*r + 11*r.
-4*r
Collect the terms in -2*b**2 + 233*b**3 + 370*b**3 + 116*b**3.
719*b**3 - 2*b**2
Collect the terms in 56*u**2 + 18*u**2 + 7*u**2 + 27*u - 29*u.
81*u**2 - 2*u
Collect the terms in -41*v - 46 - 46 + 94.
-41*v + 2
Collect the terms in -33*v**2 - 281*v**3 - 139*v**3 + 17*v**2 - 142*v**3 + 17*v**2.
-562*v**3 + v**2
Collect the terms in -1660*w - w**3 + 4971*w - 1657*w - 1654*w.
-w**3
Collect the terms in 50*p + 51*p - 194*p + 42*p + 52*p.
p
Collect the terms in -2115 + 22*m + 2115.
22*m
Collect the terms in -2*g - 53*g**2 - 179 + 2*g + 7*g + g.
-53*g**2 + 8*g - 179
Collect the terms in -138*u - 6*u - 40*u + 9*u.
-175*u
Collect the terms in -637*n - 2 + 2598*n + 2.
1961*n
Collect the terms in -1 - 1 - 643*q + q**2 + 2 + 643*q.
q**2
Collect the terms in 108 - 56 + 41*i**2 - 56 - 127*i**2.
-86*i**2 - 4
Collect the terms in -30 - 30 - 29 + 130 - 41 + 5*o.
5*o
Collect the terms in 5*r**3 + 31*r - r - 11*r - 12*r.
5*r**3 + 7*r
Collect the terms in 44225825*z - 2*z**3 - 44225825*z.
-2*z**3
Collect the terms in -243*y + 241*y + 991 - 248.
-2*y + 743
Collect the terms in -2 - 3 - 190*f + 3 + 3.
-190*f + 1
Collect the terms in 830*b**2 - 483*b**2 - 6154*b**2.
-5807*b**2
Collect the terms in -3269*h - 3285*h + 6580*h + 6.
26*h + 6
Collect the terms in 14*p - 5*p - 11*p.
-2*p
Collect the terms in -645 + 2*h + 2*h + 3*h + 66.
7*h - 579
Collect the terms in -46*w + 53506*w**3 - 53508*w**3 + 46*w.
-2*w**3
Collect the terms in 559*y**2 + 838*y**2 - 2010*y**2.
-613*y**2
Collect the terms in -288*m + 153*m + 572*m + 325*m.
762*m
Collect the terms in 183*t**3 + 18182*t - 18182*t.
183*t**3
Collect the terms in 2 + 8 - 25 + 15 + 314*a**3.
314*a**3
Collect the terms in -12*x**2 + 21*x**2 - 8*x**2 - 68*x**3.
-68*x**3 + x**2
Collect the terms in 10 + 4014*l - 8038*l + 4020*l.
-4*l + 10
Collect the terms in 57*c**3 - 53*c**3 - 2*c**2 + 11*c**2 - 7 - 9*c**2.
4*c**3 - 7
Collect the terms in -91*g - 50*g + 230*g - 65*g.
24*g
Collect the terms in 1602049*v + 11*v**3 - 1602049*v.
11*v**3
Collect the terms in -275*d**2 - 429*d**2 + 472*d**2.
-232*d**2
Collect the terms in -3*c**2 - 54*c - 123*c + 177*c.
-3*c**2
Collect the terms in 9*j - 137850636 + 137850636.
9*j
Collect the terms in -9*y + 3 - 8*y + 16*y + 99*y**2.
99*y**2 - y + 3
Collect the terms in 105062*y**3 - 210131*y**3 + 105080*y**3.
11*y**3
Collect the terms in 866*j + 868*j - 137*j**3 - 1734*j.
-137*j**3
Collect the terms in 74 - 23 - 15 - 19 - 2*l**3 - 11*l - 28.
-2*l**3 - 11*l - 11
Collect the terms in -16*j + 44 - 34 - 3 - 7.
-16*j
Collect the terms in -4290 - 2*b**3 - 4322 + 12927 - 4315.
-2*b**3
Collect the terms in -20887*y + 13*y**2 - 39*y**2 + 20887*y.
-26*y**2
Collect the terms in 56 - 4*t**3 - 64 + 8*t**3.
4*t**3 - 8
Collect the terms in 0*n - 2*n**2 + 6*n**2 - 126*n + 3*n**2.
7*n**2 - 126*n
Collect the terms in 8 + 381374*p - 15 + 7 - 381351*p.
23*p
Collect the terms in -21630*n**3 - 21657*n**3 + 43284*n**3.
-3*n**3
Collect the terms in -198*f**2 + 14*f - 47*f - 200*f**2 + 33*f.
-398*f**2
Collect the terms in 47*g + 48*g - 191*g + 31*g.
-65*g
Collect the terms in b - 2*b + 3*b + 264*b**2 + 74*b**2 + 4.
338*b**2 + 2*b + 4
Collect the terms in -2 + 947*n - 947*n - 12504*n**3.
-12504*n**3 - 2
Collect the terms in -211*v - 219*v + 647*v - 217*v - 26*v**2.
-26*v**2
Collect the terms in -2 - 13*l + 1 + 554*l**2 - 3 + 0.
554*l**2 - 13*l - 4
Collect the terms in -444050*f**3 + 28*f**2 + 6*f**2 + 444051*f**3.
f**3 + 34*f**2
Collect the terms in 155 + 3*h**3 + 5*h**3 + 179.
8*h**3 + 334
Collect the terms in -25*l + 28*l - 1 - 3 + 57*l + 2.
60*l - 2
Collect the terms in -11106747*y + 14 - 14 + 11106744*y.
-3*y
Collect the terms in -68*w**3 + 2*w**2 - 15*w**3 - 2*w**2 - 39*w**3.
-122*w**3
Collect the terms in 24*l + l - 35*l**2 - 15*l.
-35*l**2 + 10*l
Collect the terms in 42*p**2 + 6*p**2 - 61*p**2 + 5*p**2.
-8*p**2
Collect the terms in -36*m**2 - 42*m**2 + 63*m**2 + 51*m**2 - 42*m**2.
-6*m**2
Collect the terms in -10 - 7 - 8*j + 26*j + 10*j.
28*j - 17
Collect the terms in o**3 - 1077418705*o + 1077418705*o + 19*o**2.
o**3 + 19*o**2
Collect the terms in 59 - 59 + 6764*z - 2087*z.
4677*z
Collect the terms in -205*x**3 + 296*x**3 - 335*x**3 + x - 326*x**3.
-570*x**3 + x
Collect the terms in -582993 - b**2 + 18*b + 582993.
-b**2 + 18*b
Collect the terms in -6*h - 742*h + 37*h - 441*h - 526*h.
-1678*h
Collect the terms in 22*b**2 + 31*b**2 - b**2 - 81*b**2.
-29*b**2
Collect the terms in d**2 + 59*d - 5*d**2 - 2*d**2 - d**2.
-7*d**2 + 59*d
Collect the terms in 786542 + 2*r + 786545 - 1573087.
2*r
Collect the terms in -20189*s**2 + 11452*s**2 + 8741*s**2.
4*s**2
Collect the terms in 1852*i**3 + 1095*i**3 - 868*i**3.
2079*i**3
Collect the terms in 2*a - 19*a**2 - 2*a + 40682*a**3 - 40681*a**3.
a**3 - 19*a**2
Collect the terms in -149*a - 162*a - 167*a + 476*a.
-2*a
Collect the terms in 7*c**2 - 60*c**2 + 2 - 156*c**2 - 80*c**2 + 114*c**2.
-175*c**2 + 2
Collect the terms in -19*v + 4844 - 4844.
-19*v
Collect the terms in -1619 - 6*s**2 + 540 + 542 + 537.
-6*s**2
Collect the terms in -1953*z + 6562*z + 2650*z.
7259*z
Collect the terms in 11168*o**2 + 15496*o**2 - 14129*o**2 + 17274*o**2.
29809*o**2
Collect the terms in 5566*z + 9*z**2 - 5566*z.
9*z**2
Collect the terms in -1691*s - 1676*s - 1685*s + 5047*s.
-5*s
Collect the terms in 70800426 + v - 70800426.
v
Collect the terms in 466*j + j + 113*j.
580*j
Collect the terms in -1093*d - 1168*d - 1340*d + 103*d.
-3498*d
Collect the terms in 13 + 101*t**3 - 94*t**3 - 47.
7*t**3 - 34
Collect the terms in 52 - 97*b**3 - 103 + 113*b**3 + 51.
16*b**3
Collect the terms in -79172*o - 79169*o + 237513*o - 79170*o.
2*o
Collect the terms in -1923*z - 13*z**2 + 1923*z.
-13*z**2
Collect the terms in 316*a**2 + 1618*a**3 - 635*a**2 + 319*a**2.
1618*a**3
Collect the terms in 8 - 3*s**2 - 8*s**2 - 6 + 8 + 5*s**2.
-6*s**2 + 10
Collect the terms in 2*d + 21*d + 29*d - 2.
52*d - 2
Collect the terms in 184*g**2 + 104*g**2 - 24*g**2.
264*g**2
Collect the terms in -45*o**2 + 11*o**2 + 0*o**2 + 34*o**2 + 68*o**3.
68*o**3
Collect the terms in 1584*y**2 - 189088 + 189088.
1584*y**2
Collect the terms in -215*k**3 + 98*k**3 + 131*k**3.
14*k**3
Collect the terms in 90*z**2 - 26*z - 24*z + 82*z - 81*z**2 - 32*z.
9*z**2
Collect the terms in j - 92 - 27 - 18*j**2 + 2*j**3 + 18*j**2.
2*j**3 + j - 119
Collect the terms in s**2 + 45*s + 20*s - 95*s + 67*s.
s**2 + 37*s
Collect the terms in 72*c**3 + 593*c**3 + 723*c**3.
1388*c**3
Collect the terms in 6015989*t**2 - 6015989*t**2 + 2*t**3.
2*t**3
Collect the terms in -12*y**2 + 12*y**2 - 2366*y**3 + 2418*y**3.
52*y**3
Collect the terms in -6*u**3 - 214963 - 6*u**3 + 214973.
-12*u**3 + 10
Collect the terms in 67799*o**3 - 22607*o**3 - 22603*o**3 - 22615*o**3.
-26*o**3
Collect the terms in -1530*r - 1108*r**2 - 1447*r**2 + 794*r**2 + 1530*r.
-1761*r**2
Collect the terms in -514 + 170 - 197*z**2 + 170 + 174 + 187*z**2.
-10*z**2
Collect the terms in 175*d + 181*d - 564*d + 125*d.
-83*d
Collect the terms in 16*p + 12*p - 54*p + 23*p.
-3*p
Collect the terms in -2060*r**3 + 2108*r**3 - 53*r**3.
-5*r**3
Collect the terms in -2 + 0*w - 9*w**2 + 11*w + 11*w - 12*w**2.
-21*w**2 + 22*w - 2
Collect the terms in -6*v + 4*v + v - 21 + 6*v.
5*v - 21
Collect the terms in -144750*u + 289521*u - 144766*u.
5*u
Collect the terms in 14 + 5 - 1 + 9*f - 18.
9*f
Collect the terms in 1 - 2752*c**2 - 1 + 2765*c**2.
13*c**2
Collect the terms in 3 - 3790*x + 1896*x - 3 + 1897*x.
3*x
Collect the terms in -62*n + 116*n - 41 - 55*n.
-n - 41
Collect the terms in -3341*k + 837*k + 836*k + 852*k + 832*k.
16*k | {
"pile_set_name": "DM Mathematics"
} |
n
Let c = -48.991 + 49. Do 0 and c have different values?
True
Let d be (64/(-6))/(3/(-9)). Let q be d/20*(-5)/(-2). Is q at most as big as 5?
True
Let r = 10055/7909 + 1/719. Let n = r - 64/33. Let s = 23/60 - 1/20. Which is smaller: n or s?
n
Let d = -1 - -14. Does 14 = d?
False
Suppose -3*x = -8*x + 5. Is x greater than or equal to -2/111?
True
Suppose 0*r + 1004 = 4*r. Let f = r - 2261/9. Is -1 not equal to f?
True
Let p = -9 - -10. Let k(g) = g**2 + 8*g - 7. Let d be k(-9). Is p < d?
True
Suppose 3*u - u = -24. Let l = u - -17. Are l and 6 equal?
False
Let l = -0.32 - -0.02. Let s = 43.2 + -43. Let i = l + s. Which is smaller: 3 or i?
i
Suppose 5*c + 5*q - 7 - 3 = 0, 0 = 5*q - 15. Does 2/5 = c?
False
Let r(t) = 6*t - 5 - t**2 - 1 + 0*t**2 + 2*t**2. Let h be r(-6). Is h greater than -5?
False
Let p = 24 + -25. Is p equal to -1/6?
False
Let n = -808/13 - -62. Let l = -185/6 - -33. Let w = l - 3/2. Which is bigger: n or w?
w
Let i be (1 + 1)*(-3)/(-16). Which is bigger: 0 or i?
i
Let x = 127/24 - 661/136. Let o = x - -4/17. Which is bigger: -8 or o?
o
Suppose 4*d = 0, 5 = -a - d - 1. Let f be (-10)/a + 18/(-27). Is f smaller than 2?
True
Let a = -0.4 + 0.2. Let k = a + 7.2. Let u = 4 - k. Which is smaller: u or -0.1?
u
Let a(s) = -s**3 - 2*s**2 - 2*s + 1. Let j be a(-2). Is 5 > j?
False
Let p = -62.14 + 75.2. Let z = p - 0.06. Which is bigger: 1 or z?
z
Let p(o) = 2*o**3 + 3*o**2 + 2*o + 2. Let b be p(-2). Let l be b/(-15)*(1 + 14). Let y be (2/(-9))/(2/l). Which is bigger: y or -1?
y
Let h be 1 - (10/6)/5. Is 0.3 at most h?
True
Let g(f) = f - 5. Let d be g(4). Let v = -2/35 - 13/385. Which is smaller: d or v?
d
Let y = 16 - 13. Which is greater: 1 or y?
y
Let u(z) = z**3 + 5*z**2 - z - 3. Let v be u(-5). Suppose d + 2*d + b + 19 = 0, -4*b - 41 = 5*d. Is d smaller than v?
True
Let p be (5/4)/((-6)/(-48)). Let b = 5 - p. Is b at least -3?
False
Let h = -6 + 8. Suppose 0 = -3*r - 3*x + 33, 3*r + x = 3*x + 8. Suppose h*c = r*c - 8. Does c = 2?
True
Let c = 31 + -32. Are 40 and c unequal?
True
Let o be -3 + 3 - 2/2. Let m = 1 - 2. Let d be 1*4/(m - 1). Is d bigger than o?
False
Let v be 31/6 + 1/(-6). Suppose -5 = -3*r - 2*r - 5*f, -v = -5*r - f. Which is greater: r or -1?
r
Let d = -879/7 + 126. Which is greater: -1 or d?
d
Let s be (7 - 4)/(-3)*1. Which is greater: s or -1/19?
-1/19
Suppose 2*p = 3*u + 5, 0 = -u + p - 6*p + 21. Suppose 4*o - i = 9, -5*o + 4*i + 7 = -7. Which is bigger: o or u?
o
Let q be (4/(-6))/((-1)/(-144)). Let w = 670/7 + q. Let d be (-7)/(-10)*(-10)/4. Which is greater: w or d?
w
Let d = -8/11 - -2/33. Which is bigger: -2 or d?
d
Suppose -l + 4*r = 5*r, -r = -l - 2. Let j = -38 + 115/3. Is l bigger than j?
False
Let s = -28 + 57. Let u = s + -29.1. Let x = 4 + -3.7. Which is smaller: u or x?
u
Let o be 0*(-1)/4*2. Let j(g) = -g + 2. Let s be j(5). Is o greater than s?
True
Let u be (3 - 1)/(0 - 2). Which is smaller: -12 or u?
-12
Let i(f) = -f**3 - 8*f**2 + 9*f - 10. Let s be i(-9). Suppose 8*m - 4*m = -4. Which is greater: m or s?
m
Let r = 2 + -5. Let a(d) = d**2 + 8*d + 5. Let p be a(-7). Let n = -3 - p. Is r > n?
False
Let g = 13.5 + -13.6. Which is bigger: 0.18 or g?
0.18
Suppose 2*y = k + 2*k + 36, -3*k = 4*y + 18. Which is bigger: -9 or k?
-9
Let o = 9 - 9. Suppose o*t = 4*t. Let j = 2 - 3. Which is greater: t or j?
t
Let k = -4 - 0. Let u = k - -4. Let h = 0.1 - u. Is h less than or equal to 1/2?
True
Suppose -x + 6*q - 2*q = -9, 0 = -4*x + 3*q - 16. Let f = x - -5. Does f = 0?
False
Suppose 4*i - 11 = -5*h, 5*i = -6*h + 2*h + 7. Is -4 > i?
False
Let l be 2/(-11) - (-24)/(-594). Which is smaller: l or 4/7?
l
Let g be -1 + 12/6 + -2. Which is greater: -2/229 or g?
-2/229
Let t(m) = -m**2 - 5*m + 5. Let y be t(-6). Suppose x + 4*x = -2*a + 33, 0 = a - 5*x + 21. Suppose a*d - 5 + 1 = 0. Is d > y?
True
Let u = 22/3 + -7. Let c be (-4)/2*-2 - (-1 - -5). Which is smaller: u or c?
c
Let i be 0/(1 + -2 + 3). Let n be (-1*2)/(2/10). Let c be n/(-18) + (-6)/27. Which is greater: i or c?
c
Let y(j) = -j**3 + 12*j**2 + 12*j + 12. Let z be y(13). Is 3/8 > z?
True
Suppose -4*y - 8 = -4*b, -9*b + 4*b = 4*y - 10. Let h(m) = m**2 + 5*m - 3. Let i be h(-6). Let k = i + y. Is k < 3?
False
Let b = -34 + 35. Is -2 at least as big as b?
False
Let j = -9 + 9. Which is smaller: -0.3 or j?
-0.3
Let l be 4/((-12)/14 + 1). Let q = -14 + 8. Let y be q/l + 2/(-7). Is -4 smaller than y?
True
Let a be (-6)/2 - (-59)/19. Does -1 = a?
False
Suppose -30 = -2*l - 4*p, -3*l + p - 2*p = -20. Suppose 5*v - 1 - 19 = 0. Is l less than v?
False
Let p be 46/3 + (-2)/(-3). Let r be (-8)/p - 2/4. Let z(f) = 3*f**2 - 1. Let b be z(r). Does b = 5/2?
False
Let s be 16/88 - 12/(-55). Let j(r) = 4*r**2 - 21*r - 25. Let a(x) = -x**2 + 5*x + 6. Let h(n) = 9*a(n) + 2*j(n). Let k be h(4). Which is bigger: s or k?
s
Let v(q) be the second derivative of q**3/6 + 2*q. Let o be v(-1). Let h = 0 - o. Are h and 1 equal?
True
Let q(k) = -k**3 + 8*k**2 - k + 7. Let m be q(8). Which is smaller: -14 or m?
-14
Suppose 0*m = 2*m + 2. Let v be 2 - (-8)/(m - 1). Let j be v/(-1)*1/7. Is j smaller than -1?
False
Let c = 2 - 1. Suppose g + 3 = c. Let u be 0/(-3) - (-1)/g. Are u and 1 unequal?
True
Let i = -7.91 - -1.01. Let j = 0.9 + i. Let b = j - -7. Which is greater: 0.3 or b?
b
Suppose -1245 = -16*l + 21*l. Let i be 6/21 - l/(-63). Which is greater: i or 0.1?
0.1
Let j = -3 - -5. Suppose j*z = -z + 9. Let u be ((-4)/(-6))/((-4)/z). Is u smaller than 0?
True
Suppose 4*t + 6 = 3*t. Let w(m) = m**3 + 5*m**2 - 4*m - 4. Let b be w(t). Let u be b/18*(-9)/(-12). Is u at least as big as -1?
True
Let k = -6.16 + 0.16. Let p = -6 - k. Let t = 0.1 + p. Which is smaller: 0.2 or t?
t
Let n = 0.3467 + -0.0467. Let h = -0.5 + 1. Which is bigger: h or n?
h
Let m = 42 + -33. Are m and 11 nonequal?
True
Suppose 0*d = -2*d - 8. Let r = 26 + -14. Let b = -15 + r. Which is smaller: b or d?
d
Let w be ((-4)/(-10))/((-3)/(-105)). Let z = 40/3 - w. Is 0 at least z?
True
Suppose -27 - 129 = 4*j. Let v be (-6)/j + 8/(-52). Let y = -125/532 + -2/133. Which is bigger: y or v?
v
Let d = -1.1 - -1. Let k = -2.8 + 3. Which is smaller: d or k?
d
Let a = -5.04 + 0.04. Let w = a + 11. Which is smaller: w or 0.1?
0.1
Let j(q) = q**2 - 5*q - 1. Let y be j(5). Do 3 and y have different values?
True
Let w(p) = 5*p**3 - 3*p**2 + p - 3. Let c(y) = 4*y**3 - 3*y**2 + y - 2. Let d(t) = 6*c(t) - 5*w(t). Let k be d(-3). Is k greater than or equal to -0.4?
True
Let k be (-27801)/(-14763) - (3 - 1). Let t = 3/259 + k. Which is greater: t or 1?
1
Let j = 4.29 + -0.09. Let m = -0.4 + j. Let w = m - 0.8. Which is smaller: w or 0?
0
Suppose 2*s + 5*g - 11 - 4 = 0, 0 = -2*s + 4*g - 30. Which is greater: -4 or s?
-4
Let u be -2 + -1 + 31/11. Let m(j) = j + 14. Let y be m(-14). Which is smaller: y or u?
u
Let h be -1 - -2 - 40/4. Let o = 7 - 5. Let m be o/9 - (-2)/h. Which is greater: -2/5 or m?
m
Suppose 0 = -3*z - 3*g - 27, z - g = -0*z - 1. Is -4 equal to z?
False
Let k = -12 + 14. Suppose 0 = 2*m + k*n + 4 - 2, 4*m - 3*n - 3 = 0. Is 0 smaller than m?
False
Let z = 0.001 + -2.701. Let c = -3.7 + 3. Let v = c - z. Are -2/3 and v nonequal?
True
Let q(x) be the first derivative of x**4/4 - 2*x**3 - x**2/2 + 3*x + 3. Let r be q(6). Let t(u) = -5*u**3 + 1. Let z be t(1). Are z and r equal?
False
Let k(v) = 3*v**2 + 53*v + 22. Let n be k(-18). Which is greater: n or 118/3?
n
Let w be (-5)/15 + (-11)/(-15). Let j = 0.3 - 3.3. Is j equal to w?
False
Let s = 43 + -217/5. Let f be (2/(-6))/1*3. Which is smaller: s or f?
f
Let z be 4/8 - 170134/340292. Let j = 83456646/935803 - z. Let d = 89 - j. Which is smaller: d or 2?
d
Suppose -3*a = -127 + 13. Let g be (2/5)/(a/10). Is 0 < g?
True
Suppose -7*o + 2*o + 20 = 0. Suppose -6*f + o*f = 40. Let x be (-5)/f + 10/(-24). Which is smaller: x or -0.1?
x
Suppose 0 = -3*v + 12. Which is smaller: v or 17/5?
17/5
Let j be 4/(-30)*(-100)/(-15). Which is bigger: 0 or j?
0
Let k = -44.82 - -45. Which is bigger: k or 1?
1
Suppose -6*h = -71 + 209. Do -25 and h have different values?
True
Suppose -2*w - 8 = -4*w. Let z = w + 1. Let s be z/(-2)*(-4)/5. Is 1 != s?
True
Let u(d) = -d + 12. Let o be u(7). Suppose -8 + 3 = o*t. Which is greater: -2 or t?
t
Let d be 12/6*1/(-3). Is d < -1?
False
Let v( | {
"pile_set_name": "DM Mathematics"
} |
n in increasing order.
d, n, 1, 3
Let f = -0.99 + 0.63. Let j = 0.14 - f. Sort 12, j, 0.3, 2/17 in decreasing order.
12, j, 0.3, 2/17
Suppose -9*t + 518 = 554. Put 2/5, 4, -0.038, t in descending order.
4, 2/5, -0.038, t
Suppose -14 = b - 5*l, -3*b + 45 = 5*l + 147. Put b, -0.5, 0 in descending order.
0, -0.5, b
Let s = 16.4 - 16.3. Let a = 0.26 + 7.74. Sort a, 0.5, -5, s in descending order.
a, 0.5, s, -5
Let q = 1 - -1. Let z be ((-3)/3 + 4)*1. Put z, q, 1 in descending order.
z, q, 1
Suppose 7*g = 2*g + 30. Let o be 6*(-3)/g*-1. Let c be 3 + 114/(-42) - (-24)/14. Sort o, c, 10.
c, o, 10
Let z(l) = -l - 5. Let g be z(-8). Let y(q) = 10*q + 17. Let u be y(-2). Put -2, -10, g, u in descending order.
g, -2, u, -10
Let j be ((-33)/(-12) - 3) + 15/28. Let s = j - 11/14. Let v = 9 + -15. Put -4, s, v in ascending order.
v, -4, s
Suppose 0 = -c + 2*r - r + 4, -2*c + 3*r = -13. Let k = -1/2 - c. Let p = -0.5 - -0.44. Sort -0.3, p, k in descending order.
k, p, -0.3
Let q = 6 - -10. Put 2, 4, 3, q in increasing order.
2, 3, 4, q
Suppose -5*o = 88 + 37. Let m = o + 41. Let f = m - 11. Sort f, 3, 2/23 in ascending order.
2/23, 3, f
Suppose 0 = 6*p - 4*p - 10. Let z be (-2 - (0 - 1)) + -2. Suppose 208*f + 157 - 132 + 183 = 0. Sort f, p, z in increasing order.
z, f, p
Let s = 1.53 + -1.13. Let z = 11 + -5. Let v be ((-2)/6)/(7/z). Put s, v, 5 in descending order.
5, s, v
Let r(v) = -v**3 - 6*v**2 - 6*v - 7. Let k be r(-5). Let o(f) = -2*f**2 - 2*f + 5. Let n be o(k). Sort -7, n, -3, 3.
-7, -3, n, 3
Let d be 5/10 - 27/6. Sort -1, 3, d, 15.
d, -1, 3, 15
Suppose 0 = 6*o - 714 + 780. Put -3, o, 3 in decreasing order.
3, -3, o
Let n(v) = -6*v - 55. Let l be n(-9). Sort l, -3, -2, -58 in ascending order.
-58, -3, -2, l
Suppose -a + 18 = 15. Suppose r = 0, -4*r + 0*r = 5*z. Suppose -2*b + o = z, b - 2*o - 4 = -b. Sort a, b, -3.
-3, b, a
Let n = -2.55 + 2.45. Suppose 14 = 4*c - 10. Sort n, 5, c in increasing order.
n, 5, c
Suppose -22*x = -3*w - 21*x, 5*w + 3*x = 0. Sort -4, -5, 2, w in decreasing order.
2, w, -4, -5
Let v(d) = 3*d**2 - 39*d + 63. Let a be v(11). Let o be 1/(-4) + 27/12. Let r be o*(14/6 + -2). Put 2, a, r in ascending order.
a, r, 2
Let c = -3 + 3.4. Let z = -324 - -4214/13. Let h be ((-1)/(-2))/(3/(-12)). Sort z, h, c in descending order.
c, z, h
Let n(m) = m - 1. Let t be n(1). Let x = 8.6 - -1.4. Let r = 7 - x. Sort 3, r, t in descending order.
3, t, r
Let h = 0.838 - -0.162. Put h, -6, 1/5 in descending order.
h, 1/5, -6
Let b = 58 - 59.3. Put 2, 1, b in descending order.
2, 1, b
Let m = -0.0807 - -0.0807. Put 22, -4/7, m, -1 in descending order.
22, m, -4/7, -1
Suppose 0 = -z + 57 - 5. Suppose -4*p = -z + 12. Let t be p/4 - (-1)/(-2). Put 5, t, 1 in decreasing order.
5, t, 1
Suppose -3*b = 4*c + 24 - 17, 4*c + 4 = 0. Sort 2/67, -2, b in descending order.
2/67, b, -2
Suppose 34 - 11 = 5*r - 3*a, 5*r - 19 = -a. Put r, -1, 3, -8 in decreasing order.
r, 3, -1, -8
Let k = -19.5 - -18.17. Let s = k + 1.53. Sort 2, s, 15 in ascending order.
s, 2, 15
Let y = -13 + 15. Let s be -5 + y - -2 - 15. Let a = s + 11. Put a, 0, 1 in ascending order.
a, 0, 1
Suppose -50 = -63*b + 58*b. Suppose 3*u + b = 5*t + 8*u, -3*u + 7 = 2*t. Sort 2, -6, t, 0.
-6, t, 0, 2
Let d(x) = 237*x + 504. Let a be d(-2). Sort -2, 5, a, 0.3.
-2, 0.3, 5, a
Let z(n) = -6*n + 67. Let v be z(9). Sort 2, v, 0 in ascending order.
0, 2, v
Let a(q) = -2*q**2 - 16*q + 2. Let o be a(-8). Suppose 0*f - r - 17 = 4*f, -o*r = -3*f - 10. Sort 2, 1, -2, f.
f, -2, 1, 2
Suppose 99*f = 95*f. Put -4, f, 3, 5 in decreasing order.
5, 3, f, -4
Let t = 556.81 - 557. Sort t, -3, -2/13.
-3, t, -2/13
Suppose 5*m = -i + 6, 3 = -2*m + 3*m + 2*i. Sort -0.2, m, -2/5 in increasing order.
-2/5, -0.2, m
Let t be 1*(-2 - -1)/(4/12). Sort 4, t, -5, -12 in descending order.
4, t, -5, -12
Suppose 4*w + i + 20 = 2*i, -3*w = 4*i - 4. Sort 5, w, -5 in decreasing order.
5, w, -5
Let n(o) = -2*o**2 - 8*o + 9. Let t be n(-5). Sort 30, 5, t, 4 in decreasing order.
30, 5, 4, t
Suppose -j = 3*j + 24. Let u be (-2 + (-10)/(-8))*(j - -2). Put u, 4, 1, -1 in increasing order.
-1, 1, u, 4
Suppose -42*w + 1643 - 131 = 0. Sort -1/4, -3, w in increasing order.
-3, -1/4, w
Let s = -197.5 + 197.8. Let d be 8*(-2)/(-4)*-1. Put 1/2, s, -0.2, d in increasing order.
d, -0.2, s, 1/2
Suppose -3*w + 5*w = -58. Let b = w - -34. Put 1, b, 7 in ascending order.
1, b, 7
Let x = -1.25 - -3.9. Let v = x - 0.25. Let w = 1.4 - v. Put -1/3, w, 1/2 in decreasing order.
1/2, -1/3, w
Suppose -2*q - 163 = o, -2*q - 39*o = -41*o + 160. Sort 5, 3, q in decreasing order.
5, 3, q
Let b(m) be the second derivative of -m**3/6 - 3*m**2 + 5*m. Let u be b(-4). Let o be (6/(-10))/(u/(-10)). Put 2, o, 0.04 in decreasing order.
2, 0.04, o
Let b = -24.17 - -24. Let m = -4.17 - b. Let f = m - -3.7. Put -1/2, f, -0.4 in ascending order.
-1/2, -0.4, f
Let b = 337 + -342. Sort -2, 5, -9, b in descending order.
5, -2, b, -9
Let d = -688.4 + 688. Put -62, d, -2 in decreasing order.
d, -2, -62
Suppose 0 = -5*l + 2*l - 57. Let s = l + 17. Sort s, -22, -5, -4 in descending order.
s, -4, -5, -22
Let q = -115 - -117. Sort -1, -6, q, -3 in ascending order.
-6, -3, -1, q
Let d = -968 + 968.08. Sort d, -3/8, 2/7 in increasing order.
-3/8, d, 2/7
Let h be (-14 - -18) + (-6)/((-1)/(-1)). Sort h, -1/2, 0.2, -0.029.
h, -1/2, -0.029, 0.2
Let m be 4/1*3/4. Suppose -12 + 14 = -j. Let c = -6 - -11. Put c, j, m in decreasing order.
c, m, j
Let i = -69 - -66. Let p = 3269/4 - 834. Let l = -16 - p. Sort i, -5, l in ascending order.
-5, i, l
Let y = -29/4 - -27/4. Put -4, y, -2, 0.1 in descending order.
0.1, y, -2, -4
Let w = -117 + 1519/13. Let o = 217 + -248.2. Let f = o + 31. Put w, f, -0.5 in increasing order.
-0.5, f, w
Let j be ((-2)/(-6)*(75 + -72))/1. Let y = -1.7 + -0.3. Sort y, -3, j in descending order.
j, y, -3
Let t = -50 - -247/5. Let g(a) = -a**2 + 9*a - 3. Let r be g(8). Let j be r + (-9)/6*2. Sort 5, t, j.
t, j, 5
Let d be ((-2)/(-3))/(20/(-90)). Let n = -8 + 7. Let f(z) = -z - 18. Let t be f(-13). Put d, n, t in ascending order.
t, d, n
Let c(a) = -4*a - 2. Let m be c(2). Let x = m - -11. Suppose x = 3*y + 13. Put 0, 4, y in ascending order.
y, 0, 4
Let p = 288 - 289.1. Sort 3, 2/5, p.
p, 2/5, 3
Let u be (77/6)/(-11) + 2/12. Put -12, 4, u, 2 in decreasing order.
4, 2, u, -12
Let d be (3/6)/(85/136). Sort d, -0.2, 2, 3 in ascending order.
-0.2, d, 2, 3
Suppose 0 = 2*c - 1 - 19. Let s = 70 + -34. Let q be (s/(-45))/(2/c). Sort 3, 0, q in ascending order.
q, 0, 3
Let j = -261 - -152. Let n = -109 - j. Put -4.2, -5, 1/4, n in ascending order.
-5, -4.2, n, 1/4
Suppose -3*f = f + 4. Suppose 15*g - 19 = -4. Put 19, f, g in decreasing order.
19, g, f
Suppose -n - 3 = -7. Let c = 79 - 46. Put n, -0.4, c in descending order.
c, n, -0.4
Let i be 2/13 + (-384)/(-39). Suppose -5*h = -10*h + i. Let q = 1 - 3. Sort 5, q, h in descending order.
5, h, q
Let h = -4501 - -4493. Suppose 3*n - 2*n = 7. Let b = -12 + n. Sort -4, b, h.
h, b, -4
Suppose -4*x - 2 = -6. Let h be ((-12)/(-8) - x)*-6. Let u = -8 + 4. Sort h, -2, u.
u, h, -2
Let t = 3 + 1. Suppose -4*l = t + 4. Let p(x) = 3*x + 1. Let a be p(1). Sort a, -4, l in descending order.
a, l, -4
Let z be 4473/(-45) + 4/10. Let h = -104 - z. Sort -1, 29, h in increasing order.
h, -1, 29
Let q(n) = -n**2 + 18. Let b be q(-4). Suppose w - 4 = -b*v - 0, 5*w + 2*v = 20. Sort 2, 3, 0, w.
0, 2, 3, w
Let j be (3 - 0)*(-4)/(-3). Suppose -4*d = -5*w - 3, -j*d = d + 3*w + 24. Let x be 6/39 - 37/(-13). Put -4, x, d in increasing order.
-4, d, x
Let z = -1 + 2. Suppose 0 = m, 3*m + 125 + 59 = 4*w. Let u = -42 + w. Sort z, u, 3 in decreasing order.
u, 3, z
Let i = 13 - 8. Suppose -w = -i*j + 15, 0*w + w = -3*j + 9. Let s be 2/(-1) - (0 + 0). Put s, w, -1 in decreasing order.
w, -1, s
Let o = 32 + -19. Suppose k - 7 = 2*g, g - 17 = 3*g - 3*k. Let l be -3 - (o/(-6) + g). Put l, 1/3, 0 in descending order.
1/3, l, 0
Let j be (825/(-12))/11*(0 + -8). Let u = 51 - j. Put 4, u, -1 in increasing order.
-1, u, 4
Let f(u) = -u - 12. Let m = 10 - 3. Suppose m = 2*j + 33. Let c be f(j). Sort -5, c, 2 in decreasing order.
2, c, -5
Let n be (20/50)/((-3)/30). Put n, -5, 3, -8 in ascending order.
-8, -5, n, 3
Let b be (84/(-7))/(-6) + 92/(-36). Put -1, 0.4, 0.3, b in | {
"pile_set_name": "DM Mathematics"
} |
uppose -10*l + 15 = -7*l. Let a be (l/15)/((-8)/(-6)). Put -2/15, a, 2/3 in ascending order.
-2/15, a, 2/3
Let y be 32/6 - (-1)/(-3). Let l = 15.7 + -15.7. Sort l, y, -1 in descending order.
y, l, -1
Let d = -51248066/315 + 162692. Let t = 7/45 - d. Let v = 5 + -4. Sort t, v, -0.5 in decreasing order.
v, t, -0.5
Let r be 3/(-2)*(-2)/15. Let u = -3492/7 - -498. Sort -2, r, u in descending order.
r, u, -2
Suppose -4*b = -3*b - 5. Sort 1, b, 4.
1, 4, b
Let v = -99 + 102. Sort -2, 2, v, 4 in increasing order.
-2, 2, v, 4
Let o be (6/(-5))/(12/(-40)). Suppose o*j - 16 = 0, a - 2*j + 4 = 3*a. Put 4, 0, a in ascending order.
a, 0, 4
Let x = -3 + 5. Suppose -g = 3*q - 20, 5*g - x = q + g. Let j be 1/((-4)/6*q). Put -2, j, -2/23 in descending order.
-2/23, j, -2
Let z(d) = 2*d + 11. Let p be z(-5). Sort p, -4, -8.
-8, -4, p
Let n = 56959 + -287839/5. Let q = -606 - n. Let a = q - 33/10. Sort 4/5, a, -5 in descending order.
4/5, a, -5
Let m = 9 - 14. Let v = -0.5 + -3.5. Let l = -0.2 + 3.2. Put m, v, l in ascending order.
m, v, l
Let f(r) = 2*r**2 - 1. Let l be f(1). Put -70, l, -5 in ascending order.
-70, -5, l
Let n(z) = z**2 - 6*z + 7. Let w be n(3). Put w, 0.1, 1 in increasing order.
w, 0.1, 1
Let a = 14 - 13.62. Let v = -2.98 + 3. Let j = v + a. Sort 5/6, j, -1 in decreasing order.
5/6, j, -1
Let l be (-4)/(-3)*(14 - 5). Put 0, -1, 4, l in decreasing order.
l, 4, 0, -1
Let c be (-24)/(-40) + (-84)/15. Put c, 2, -0.01 in decreasing order.
2, -0.01, c
Suppose 3 = q + 19. Let t be (111/(-4))/(6/q). Let h be 2/7 + t/(-112). Sort 0.4, -4, h in ascending order.
-4, h, 0.4
Let b(h) = 4*h**2 + 1. Let a(z) = -z**2 + 1. Let y(x) = 5*a(x) + b(x). Let o be y(-3). Sort -1, -4, o in descending order.
-1, o, -4
Let y = -37/84 - -4/21. Sort y, 0, 3 in increasing order.
y, 0, 3
Let m be 1*-4 - 6/(-3). Let w be 3 + (-5 - m) + 2. Suppose w*h + h = -12. Put h, -2, -3 in ascending order.
h, -3, -2
Let n be -2*9/(-6) + 0. Suppose 2*r = 4*b - 8, -2*r + 4*r = -n*b + 13. Suppose -b*s - 3*k - 12 = -5*s, 1 = -3*s - 5*k. Sort 1, s, -5 in descending order.
s, 1, -5
Let n(j) = j + 8. Let o be n(0). Suppose o*u - 3*u - 25 = 0. Let b = u - 7. Put 5, -5, b in decreasing order.
5, b, -5
Let q = -2 + -1. Let y = 0.8 - 0.77. Let i = -1.03 + y. Put i, q, -1/4 in increasing order.
q, i, -1/4
Let l = 1.1 - 1.2. Put 0.1, l, -5 in decreasing order.
0.1, l, -5
Let k(c) = -c + 1. Let v be k(-4). Let j(d) = 2*d**2 - 12*d - 11. Let q be j(7). Let m be (1/2)/(2/4). Put q, v, m in descending order.
v, q, m
Let k = 3.2 + -16.2. Let g = 17 + k. Put 0.1, -5, g in increasing order.
-5, 0.1, g
Let j = -20 + 17. Put -2/11, -2/3, j in descending order.
-2/11, -2/3, j
Let g(t) = 1. Let j(x) = -x + 5. Let h(y) = 5*g(y) - j(y). Let p be h(3). Let d be 28/(-24) + 2/p. Sort d, -1/3, 2/7.
d, -1/3, 2/7
Let m(i) = -i**3 - 3*i**2 + 5*i + 6. Let k be m(-4). Suppose -14 + k = -3*v, 2*u + 5*v = 30. Let j be 44/(-12) + 4/6. Put j, 0, u in ascending order.
j, 0, u
Let v = 0.6 - 0.4. Let k = 0.3 - 1.3. Sort v, k, -4 in ascending order.
-4, k, v
Let r be (36/24 - (2 + -1))*10. Sort 2, r, 1 in decreasing order.
r, 2, 1
Let d(o) = o + 5. Let i(q) = -1. Let t(r) = -d(r) - 5*i(r). Let b be t(-4). Put b, -2, -4 in decreasing order.
b, -2, -4
Let g = 0.37 - 5.97. Let r = -0.6 - g. Put 3/5, r, 0.2 in descending order.
r, 3/5, 0.2
Suppose 0 = -2*r, 2*u = -3*r + 4 + 4. Put -2/3, u, -1, -0.4 in descending order.
u, -0.4, -2/3, -1
Let r = 0.6 - -0.2. Let z = -2.2 - r. Let b = z + 3.5. Put -4, b, 0.2 in increasing order.
-4, 0.2, b
Let f be ((-8)/6)/((-1)/(-3)). Suppose -2*j = -j + 2. Put j, 5, f in increasing order.
f, j, 5
Let b = 109 - 114. Sort b, 3/7, 4 in descending order.
4, 3/7, b
Let t be (-10)/(-15)*63/(-6). Sort -1, -3, t in decreasing order.
-1, -3, t
Let i = -91 + 87. Sort i, -17, -1 in descending order.
-1, i, -17
Let l = -52 - -56. Put l, -0.1, 1/3 in descending order.
l, 1/3, -0.1
Let w be 1/4 + 42/(-8). Let a(h) = h**3 - 8*h**2 + 3. Let n be a(8). Suppose -m + 6 + 1 = 2*c, 4*m + 16 = n*c. Sort 3, w, m in descending order.
3, m, w
Suppose 4*u - 5*u - 16 = 5*o, -5*o = 2*u + 12. Sort 1, 0, u.
0, 1, u
Suppose -b + 2*a = 3*b - 26, -2*b - 4*a = -18. Let i = b - 6. Suppose 1 = 3*d - y + 2*y, -4*y + 18 = -2*d. Sort d, i, 3 in increasing order.
d, i, 3
Let x(n) = -n**2 - 11*n - 3. Let w be x(-11). Let z be (0 + -1 - -5) + w. Sort 5, -4, z in increasing order.
-4, z, 5
Let m = 4.5 + -4. Let r = m - -3.5. Put -5/2, -5, r in ascending order.
-5, -5/2, r
Let n be (2 + (-2 - -3))*8/6. Let g = 1 - -1. Sort g, 0, n.
0, g, n
Let x be (4/10)/((-3)/135). Let a be 336/(-540) - 4/x. Sort -5, -4, a in descending order.
a, -4, -5
Suppose l + l = -2. Suppose -20*w - 8 = -24*w. Sort 4, w, l in descending order.
4, w, l
Let l(x) = x**2 + 17*x + 25. Let m(a) = a**2 + 16*a + 25. Let w(q) = -3*l(q) + 4*m(q). Let o be w(-10). Let h be 2/7 + 5/7. Sort 3, o, h in descending order.
3, h, o
Let v(o) = o**2 + 10*o + 4. Let i be v(-9). Sort -4, 3, i in ascending order.
i, -4, 3
Let t = -802/25 - -32. Let g = -6 - -11. Let n = -5.5 + g. Sort -0.3, n, t in descending order.
t, -0.3, n
Let x = -22.5 + 23. Let c = 0 - 0. Put c, 1/5, x in descending order.
x, 1/5, c
Suppose -2*r = 2*r - 12. Suppose r = -2*i + 9. Let a(y) = -y**2 - 8*y - 3. Let z be a(-7). Put 1/6, z, i in increasing order.
1/6, i, z
Let t = -10 + 6. Let h be t*(-2)/32 + -1. Sort -0.2, 4, h in descending order.
4, -0.2, h
Let c be 2/6*(-2)/(-2). Let d = 0.1 + 2.9. Let n = -2 + d. Sort n, -2/5, c in descending order.
n, c, -2/5
Let v be -2 - (-4)/(-14) - -2. Put 5, -3/11, v in increasing order.
v, -3/11, 5
Suppose -2 = g - 4. Suppose 6 + g = 4*z. Suppose -d - 3*j + 1 = -10, 0 = -4*d - 5*j + 9. Sort z, d, 0 in descending order.
z, 0, d
Let o be (2 + 2)*(-10)/8. Let m = o + 1. Let w be (-2)/(-10) + (-126)/(-70). Sort m, w, 4.
m, w, 4
Let w(h) = h**3 + 7*h**2 + 2. Let n be w(-7). Suppose -4 = 2*g - n. Put g, -2, -4 in decreasing order.
g, -2, -4
Let a = 1.5 + -0.5. Put 1/7, 0.02, a in decreasing order.
a, 1/7, 0.02
Let o = 0.85 + -0.75. Sort 43, -2, o in decreasing order.
43, o, -2
Let f be 268/52 - (-4)/(-26). Let y be -2 + 2 + -1 + -1. Put -5, y, f in descending order.
f, y, -5
Suppose 3*y = -0*y - 15. Let t(q) = -6*q - 4. Let o be t(-3). Suppose 2*h + 0*h = -5*f - 3, -3*h = -2*f + o. Put y, h, 3 in descending order.
3, h, y
Suppose 2*a - 7 = -b, -4*b + 3*b + 3*a + 2 = 0. Let d be 10/4*(-6 + 4). Put b, 4, d in increasing order.
d, 4, b
Suppose 0 = 4*t - 5*k - 63, -2*t + k = -4*k - 39. Put -2, 0, t in decreasing order.
t, 0, -2
Let j = 15 + -29/2. Let b = -8 - -9.2. Let g = -3.8 - b. Sort g, 1/5, j in increasing order.
g, 1/5, j
Suppose 5*r + 25 + 0 = 0. Let a = r - -3. Sort a, -3, 2 in decreasing order.
2, a, -3
Let d(q) = -q**3 - 15*q**2 - 25*q + 14. Let s be d(-13). Put -4, s, 2, 5 in decreasing order.
5, 2, s, -4
Let r = 10 - 9. Let c = 0 + r. Put 5, c, -3 in decreasing order.
5, c, -3
Suppose 0 = 2*r - 4*d - 10, 2 = -5*r - 0*d + d. Sort -0.3, 40, -5, r in decreasing order.
40, -0.3, r, -5
Let u = 1.9 - 0.4. Let p = u - -7.5. Let z = 13 - p. Sort -4, -2, z in decreasing order.
z, -2, -4
Let c be 1/2 + (-1)/(-2). Suppose 0 = 5*t - 4 - 1. Let s be (-3)/1*t*c. Sort 4, s, -4 in decreasing order.
4, s, -4
Let j = -4 - -5. Let h be (2 - 2)/(2/j). Suppose 3*f + 19 = -4*y, 2*y + 11 = -f - 2*f. Sort h, 5, f in descending order.
5, h, f
Let p = 9.5 + -10. Let c = p - -0.8. Sort 1, c, -4 in ascending order.
-4, c, 1
Let t = -41 + 34. Put 4, t, -5 in increasing order.
t, -5, 4
Let i = 12 - 12.3. Put i, 7/5, 1/7 in decreasing order.
7/5, 1/7, i
Let j = 0 - -2. Suppose 9 = -2*d + 6*d - k, 15 = 5*d - 2*k. Put j, d, 4 in ascending order.
d, j, 4
Suppose 5*k - 2*h - 5 = 0, -k + 0 = 5*h - 28. Let r be -2*1*(14/7)/(-1). Sort 0.1, r, k in increasing order.
0.1, k, r
Let t = -5 + 8. Suppose 2*j = t*j - 5. Sort -0.3, j, -0.5 in increasing order.
-0.5, -0.3, j
Let d = 45 + -48. Put d, -0.5, 2 in decreasing order.
2, -0.5, d
Let z(q) = q**2 - q - 5. Let v(p) = 3*p**2 - 4*p - 14. Let y(f) = -4*v(f) + 11*z(f). Let c be y(4). Sort c, 1, 4 in ascending order.
1, 4, c
Suppose 3*z - 1 = -7. Sort z, -4, 1 in decreasing order.
1, z, -4
Let a be (12/32)/(9/(-6)). Let p = -9/2 - -5. Sort a, p, -0.3.
-0.3, a, p
Let | {
"pile_set_name": "DM Mathematics"
} |
5 bigger than -166?
True
Is -2/23 greater than or equal to 1?
False
Is 1163/19 smaller than 60?
False
Is 0.1 >= -2/39?
True
Which is bigger: 1022 or 1020?
1022
Which is smaller: -15/16 or -1?
-1
Is -35064 <= -35065?
False
Which is smaller: -1 or -4/1801?
-1
Which is smaller: -476 or -467?
-476
Is 2 bigger than 273?
False
Is -155 greater than or equal to -156?
True
Are -2/7667 and 1 unequal?
True
Which is greater: 6 or 354/49?
354/49
Which is smaller: 0.0522 or 6?
0.0522
Is -1 at least as big as -318?
True
Which is greater: -3 or -5?
-3
Which is smaller: 705 or 708?
705
Is 495/19 equal to 27?
False
Is 1 at least as big as 12/121?
True
Which is bigger: -752/7 or -108?
-752/7
Which is greater: -36/533 or -1?
-36/533
Is -1059 at most -2?
True
Which is smaller: -3.1 or 1/12?
-3.1
Is -1 >= 1/127?
False
Which is bigger: 0.6 or 0.1?
0.6
Is 1/5783 smaller than 0?
False
Which is bigger: 0.6 or 56?
56
Which is greater: -0.1 or 353?
353
Which is smaller: 1/1679 or -1?
-1
Which is smaller: 798 or 830?
798
Which is smaller: 0.2 or -3970?
-3970
Is 152 >= 151?
True
Is 0 at most -2/2173?
False
Do 101 and -7.7 have the same value?
False
Is -211 at least as big as -321?
True
Does 1977 = 1985?
False
Which is bigger: 1 or -7/837?
1
Which is bigger: 490 or 489?
490
Is 86 less than or equal to 86?
True
Which is smaller: 8 or -0.17?
-0.17
Are 59 and 60 non-equal?
True
Do 1477 and 1475 have the same value?
False
Is 11/96 > 0?
True
Is -30 at least -4?
False
Which is smaller: 0.1 or 0.1982?
0.1
Does -133 = -133?
True
Which is greater: -1/110 or 1?
1
Are -10 and 42 non-equal?
True
Does 3 = -2?
False
Are 296 and 2 unequal?
True
Is -127 less than -130?
False
Which is smaller: -594 or 0?
-594
Which is smaller: 0.15 or -220?
-220
Are 4825 and 9647/2 non-equal?
True
Is 0 at most -4/397?
False
Is 1 bigger than -3/676?
True
Is 563/2 bigger than 282?
False
Is -50/199 at least 1?
False
Is -660 at least 2?
False
Which is smaller: 6906/5 or 1382?
6906/5
Is 672 smaller than -0.33?
False
Does -2085 = -2083?
False
Is -2111 > -2111?
False
Is 6633 != 6631?
True
Is -68 at most -68?
True
Which is bigger: 100 or -3/8?
100
Which is smaller: 1 or 132/343?
132/343
Is 13/75 smaller than 0.01?
False
Is 267 greater than or equal to 266?
True
Is 2/5759 <= 0?
False
Is -2 less than or equal to -87/74?
True
Which is greater: 160 or -4?
160
Which is greater: 0.1 or -13085?
0.1
Is -28/29 at most -2?
False
Is -43 > -50?
True
Which is greater: 678/23 or 29?
678/23
Is 70 less than 40/7?
False
Which is smaller: 5 or 12?
5
Which is smaller: -0.635 or -1.6?
-1.6
Which is bigger: 2.76 or 3/8?
2.76
Which is smaller: 624 or 622?
622
Is -1 < -35/66?
True
Is -311 at most as big as -241?
True
Is -1729 at most as big as -1730?
False
Which is bigger: 1 or -752?
1
Which is smaller: 44 or 18?
18
Which is smaller: 0 or 19/60?
0
Is 724/69 < 9?
False
Which is bigger: -1.97 or -4/9?
-4/9
Is 6 bigger than 1/13?
True
Is -1 <= 3/1811?
True
Which is smaller: -1/2265 or -1?
-1
Is 443/9 bigger than 48?
True
Is -223 at most 0.21?
True
Which is greater: -150 or -149?
-149
Which is bigger: -8 or 1077?
1077
Which is smaller: 2/28177 or -1?
-1
Is -1 smaller than -8/81?
True
Which is bigger: 0 or 1/37?
1/37
Which is smaller: -252 or 11?
-252
Is 2592 <= 2594?
True
Does 375/8 = 48?
False
Is 0 equal to 1/2338?
False
Which is greater: -6524 or -6525?
-6524
Which is bigger: -4/3 or -33?
-4/3
Which is greater: 34 or 36?
36
Which is smaller: -5/1273 or 1?
-5/1273
Is -31 equal to 0.04?
False
Which is smaller: -27 or -186/7?
-27
Which is smaller: 1/40 or 1/4?
1/40
Are -105 and -104 unequal?
True
Is -569 less than -550?
True
Which is bigger: -1 or -6/15061?
-6/15061
Is -1.8 equal to -0.6?
False
Which is smaller: -1/5699 or 1?
-1/5699
Which is bigger: 3163 or 3161?
3163
Does -68 = -13?
False
Is 17 less than or equal to -0.3?
False
Which is bigger: 445 or -1/6?
445
Which is smaller: 2 or 106?
2
Is 96 less than or equal to 96?
True
Which is bigger: 0.294 or -1?
0.294
Is -4 bigger than 0?
False
Which is smaller: -262 or -263?
-263
Is 0 not equal to -117/389?
True
Is -71 < 4?
True
Is -2/10233 equal to 0?
False
Is 0 bigger than -9/6358?
True
Does 81 = 80?
False
Do -0.07 and 6/5 have different values?
True
Is 31 < 30?
False
Are 0 and 12/133 non-equal?
True
Is -23 at most as big as 15?
True
Is -2829 at least as big as -2824?
False
Is 269 smaller than 283?
True
Which is smaller: 38/145 or -2?
-2
Which is bigger: -0.0674 or 3/4?
3/4
Are -6 and -179 nonequal?
True
Is -19/12 <= 3/10?
True
Is -0.1 at most -27675?
False
Is -2/19 < -24?
False
Which is greater: 2259 or 2260?
2260
Is -565 < 5?
True
Is -1 at most 2/15875?
True
Is -7 greater than -103?
True
Is 1027 bigger than 1021?
True
Which is greater: -2/8757 or 0?
0
Is -14 equal to -277/19?
False
Which is greater: 1 or 10/4817?
1
Which is smaller: 0 or 2/102645?
0
Which is smaller: 433 or 446?
433
Which is greater: -1 or -1431?
-1
Which is smaller: 13 or 11?
11
Is 43 bigger than -15?
True
Is -7 greater than 12/19?
False
Does -0.004 = 2?
False
Is 5 <= 0.089?
False
Is -1 less than 1/2297?
True
Is -70 less than 0.2?
True
Which is bigger: -165 or 1?
1
Which is bigger: 55 or 25?
55
Which is bigger: 125 or 132?
132
Do -134 and -133 have different values?
True
Which is bigger: -2/231 or 0?
0
Is -2/5 at most -172?
False
Are -39 and 56 non-equal?
True
Is 0 equal to -2/4831?
False
Which is bigger: -6/47 or 3?
3
Which is greater: 2422 or 5?
2422
Is 9769 > 9769?
False
Is 0 <= -80?
False
Is 561 at least as big as 558?
True
Which is smaller: 82 or 409/5?
409/5
Which is greater: 1 or 27/55?
1
Is -1617 > -1615?
False
Which is greater: 0.0072 or -2?
0.0072
Which is greater: 48/5 or 10?
10
Which is bigger: -0.06 or 1671?
1671
Is -2/3 greater than or equal to -165?
True
Is 966 at most as big as 967?
True
Is 8/99 < -1?
False
Is -28 smaller than -28?
False
Are 14/237 and 1 equal?
False
Which is smaller: -1.4 or -1.84?
-1.84
Which is smaller: 1/4 or 0.1134?
0.1134
Which is greater: -70/37 or 2?
2
Is -31 at least 4?
False
Is -17/6 < -3?
False
Do 8/3 and -2/11 have the same value?
False
Which is smaller: 883 or 881?
881
Is 38 at least as big as -8?
True
Is -3786 <= 0?
True
Is 0 at least as big as 2/32609?
False
Are 2529 and 2529 equal?
True
Is -459 < -459?
False
Is -7/3247 at most as big as 1/4?
True
Which is smaller: -1 or -8/1121?
-1
Is -3 less than -12.8?
False
Which is bigger: 10973 or 10974?
10974
Which is greater: 8 or 48?
48
Is 35/757 less than -1?
False
Is 208 less than or equal to 0.12?
False
Is 30 greater than 35?
False
Is 164 at most 164?
True
Is -2/107 <= 1?
True
Which is smaller: -1914 or -1916?
-1916
Do -99/122 and -1 have different values?
True
Is 909 at least 1?
True
Which is bigger: 2 or 62?
62
Is 3/931 at least as big as 0?
True
Which is smaller: -1 or -3/157?
-1
Which is smaller: 6/11 or 21.3?
6/11
Are 4 and 6 equal?
False
Is 718 at most as big as 719?
True
Which is greater: 64/9 or -38?
64/9
Which is smaller: -36 or -37?
-37
Is -1025/8 less than -129?
False
Is -764 > -47?
False
Which is smaller: 2/2487 or 0?
0
Which is bigger: 1 or 1/1680?
1
Is -17/6 at least -2?
False
Which is bigger: -16244/9 or -1805?
-16244/9
Which is smaller: 297 or 298?
297
Which is bigger: 23/395 or 1?
1
Is 2/7 at least 854/15?
False
Is -473 < -475?
False
Which is greater: 257 or 2055/8?
257
Which is bigger: -1378 or -1376?
-1376
Is 90 at least 137?
False
Is 3146 smaller than 3146?
False
Are -4 and -6 unequal?
True
Are 138/41 and 4 nonequal?
True
Are 53 and 54 non-equal?
True
Which is bigger: -1 or -424/17?
-1
Is 24 at most as big as 18?
False
Is 954 bigger than 1909/2?
False
Which is smaller: 0 or -1/838?
-1/838
Which is smaller: 2545 or 2547?
2545
Is 1 < -5.147?
False
Which is smaller: -398 or -399?
-399
Which is greater: 6117 or 6116?
6117
Which is smaller: -709 or -2123/3?
-709
Is 156 smaller than 157?
True
Which is bigger: -138 or -133?
-133
Is -9004 less than -9004?
False
Which is smaller: 1 or 3/631?
3/631
Is 558 less than 554?
False
Is -414 at least as big as -418?
True
Are 1 and -27 nonequal?
True
Which is smaller: -138 or -137?
-138
Do -237 and -473/2 have the same value?
False
Which is greater: 1/35 or -4.2?
1/35
Which is bigger: 4 or 1?
4
Is 1 at most as big as 18/233?
False
Is 87/8 <= 10?
False
Which is bigger: -1.7 or | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to j? (a) 5 (b) -5 (c) w
c
Let u = 187 - 1307/7. Let g = -11 - -10. Which is the nearest to -0.1? (a) 5 (b) u (c) g
b
Suppose 2*m + 1 = 3*m. Let h = 14 + -14.3. What is the closest to m in 5, -4, h?
h
Let j = 517/3 - 174. Which is the closest to -1? (a) j (b) -2/5 (c) -2
b
Suppose -4*y - 4*g = -28, -5 = -0*y + 5*y - 3*g. Suppose 0*o = -5*o + 100. Let b be ((-15)/o)/((-1)/y). What is the closest to -2 in 4, 3/4, b?
3/4
Suppose -18 = 5*j - 3. What is the closest to 5 in -4, j, 0.5?
0.5
Let d = -5 - -3. Let p be (-6)/(-16)*(-2)/3. What is the closest to d in -1, -2/9, p?
-1
Let z(q) = q**3 - 5*q**2 - 4*q - 7. Let b be z(6). What is the closest to -2 in 1/4, b, 2?
1/4
Let f be -3 + (-13)/(-4) - 1. Suppose -3 = -4*p - p + t, 8 = -2*p + 5*t. Which is the nearest to p? (a) f (b) -2/7 (c) 0.2
c
Let q = 0.1 - -0.9. Let i = 0.1 - -0.1. Let x = -0.012 + 0.212. Which is the closest to x? (a) -5 (b) q (c) i
c
Let g = 14 - 29. Let h be (-1)/(-5)*25/g. Which is the nearest to -1/2? (a) h (b) -1 (c) 1
a
Let t = -4 + 6. Let w = -39.3 + 39. Which is the closest to -1? (a) w (b) -2/7 (c) t
a
Let o = -0.028 + -5.872. Let i = 6 + o. Let u = -0.01 + -0.29. Which is the nearest to i? (a) -1/8 (b) 1/5 (c) u
b
Let i = -1.2 - 1.8. Let x = -0.3 + 0.7. Which is the nearest to 1? (a) i (b) -2 (c) x
c
Let i = -53 - -52.7. What is the closest to 7 in 3, i, -3/7?
3
Let y = 0.04 - -1.96. Let j = 1.8 - 13.8. Let g = 12.1 + j. Which is the closest to g? (a) y (b) -1 (c) 4
b
Let s be 2 + (0 + 1 - 1). Let b = -36.22 + 41.2. Let o = b - -0.02. What is the closest to 1 in s, o, 1?
1
Let x = -13 - -9. Let m = -5 - x. Which is the closest to 0? (a) m (b) -5/6 (c) -1/6
c
Let n = -0.096 - -10.996. Let k = n + -11. What is the nearest to 1 in 0.2, k, -2/9?
0.2
Let i = 0.8 - 0.4. Let a = -0.8 + i. What is the closest to 0.1 in -2/7, 0.2, a?
0.2
Let y = -3.6 - -0.6. Let c = -0.3 - -0.2. Let u = 8 - 6. What is the nearest to c in -0.4, y, u?
-0.4
Let l be (-62)/45*3 - -4. What is the closest to -3 in l, 12, 0.5?
l
Suppose -6*f + 3 - 15 = 0. What is the nearest to f in 1, 1/5, 2/9?
1/5
Suppose 2*p - 12 = -10. Suppose 5*b + 4 = 3*b. Let i be ((-4)/(-4))/(b/6). What is the closest to -0.1 in 0.3, i, p?
0.3
Let c = -45 + 43. What is the closest to -3/4 in c, -1, 1?
-1
Let i(b) = b + 4. Let v be -2*6*(-1)/(-2). Let d be i(v). What is the nearest to 1/3 in 2, d, -5?
2
Let z = 0.206 + -0.106. Which is the nearest to z? (a) 8/5 (b) 1/3 (c) -1/4
b
Let y(v) = -v**2 + 6*v - 5. Let f be y(5). Suppose f*h = h - 2. Which is the closest to -0.1? (a) h (b) 0.2 (c) 0
c
Let w = 5 - 3. Let a = -12 - -7. Let i = 0 - a. What is the closest to -0.2 in w, -2, i?
-2
Let a = 59.4 + -59. Let h = -0.1 + 0.1. What is the closest to 2 in h, a, 2/3?
2/3
Let p = -17 - -18. Let v(t) = -t**3 + 6*t**2 + 6*t + 9. Let k be v(7). What is the closest to k in p, -1, -5?
p
Let f = 1055/9 - 117. Let a be 8 + 0/1 + -3. What is the closest to -1 in 3, f, a?
f
Let h(w) = w**2 - 8*w + 3. Let z be h(8). Suppose -1 = -d - z. Suppose -2*p - 5*n - 3 + 1 = 0, 4*n = -4*p - 4. What is the nearest to p in -0.2, d, -1/2?
-1/2
Let p = 9 + -7. Let u = p + 0. What is the closest to -0.1 in 1/4, u, -1/4?
-1/4
Let s = -9 + 6. Let y = -86/5 + 17. Which is the closest to y? (a) 1/3 (b) s (c) -0.5
c
Suppose -q = 5*q + 24. What is the nearest to -3/2 in 0.3, 0.2, q?
0.2
Let r = -0.516 + 0.416. Let t = 2 + 0. What is the nearest to 2/5 in t, -4/5, r?
r
Let l = 0.3 - 0.8. Let z = 4 + -20. Let j = z - -14. What is the nearest to j in 0, l, 4?
l
Let r = -3 + 5. Suppose r*h - 4*o = 0, 9 = h + h + 5*o. Suppose -y + 4 = -h*j, 4*y - 4*j + 2 = -2*j. Which is the nearest to -1? (a) y (b) -4/5 (c) -3
b
Let j = 138 + -137. Suppose -3*r + 11 = -1. Which is the nearest to j? (a) r (b) 5 (c) 1/9
c
Let i = -128 + 135. What is the nearest to i in 1/5, -2, -0.4?
1/5
Let x = -0.05 + -4.95. Let v = x + 2. Let n = 1/80 + -41/80. What is the nearest to n in v, 0.5, 0?
0
Let g = -8 + -4. Let z = -12 - g. Let l be (0 + 1)/(8/2). Which is the closest to 1/4? (a) -0.3 (b) l (c) z
b
Let p be (-10)/(-20) - (-2)/(-4). What is the closest to p in 0.1, 2, 2/5?
0.1
Let d = -56993/476 + 215/68. Let p = d + 117. What is the closest to 1 in 1/2, 4, p?
1/2
Let z = -41 + 37. Let c = 3 + -7/2. What is the closest to -0.1 in 1/3, z, c?
c
Let x be (2 + -4 + 3)*5/(-15). What is the closest to 2/5 in 5, -0.4, x?
x
Let g = 144097/3486 - 3/1162. Let c = g - 41. Suppose -15 = 5*r - m, 5*r - 16 = -5*m - 1. What is the closest to -0.1 in r, 2, c?
c
Let t = 54 - 53.5. Suppose -4*q + 8 = 0, -4*y + q + 3*q = -4. What is the closest to -1 in t, 0.4, y?
0.4
Let l = 4/139 - -127/417. Let r = 6.3 + -6. Let t(x) = x + 6. Let u be t(-5). What is the closest to u in l, 1, r?
1
Let z be 3/(-13*(-12)/(-8)). Let a = 0.2 + -0.4. What is the closest to -0.1 in z, -2/11, a?
z
Let f = 18.9 + -19. Which is the closest to f? (a) 4/3 (b) 1 (c) -1/5
c
Let r = 227 + -236.1. Let k = r + 9. Which is the nearest to -1? (a) k (b) 2/3 (c) -2
a
Let v = -16 + 24. Let g = v - 6. What is the closest to g in -2/9, -0.1, -4/3?
-0.1
Let u = 66 + -71. What is the nearest to 1 in -3/2, -0.11, u?
-0.11
Let k = -13 + 18. Which is the closest to 0? (a) k (b) 3 (c) -0.2
c
Let t = -4 + 1. Let v = -2/15 - 1/5. What is the nearest to -1 in t, v, -0.3?
v
Let j = -134 - -133.5. Let r be ((-7)/(-4) - -2) + 0. Let m = -17/4 + r. What is the nearest to m in 1/9, j, 0?
j
Let h = 0.01 + -1.01. What is the closest to -1 in h, 1/3, 5?
h
Let u be (10/6)/(1/3). Let i(n) = n**2 - 5*n - 2. Let r be i(u). Let v = -1.3 + 1. Which is the nearest to 0.1? (a) v (b) 1 (c) r
a
Let d = -10 + 10. Which is the closest to d? (a) 0 (b) 0.2 (c) -5
a
Let w be 4/14*70/50. Let u = -0.4 - -2.4. Let n = u - 2. What is the nearest to w in -3, -0.1, n?
n
Let p = -1 + 4. Let f = p + -3.1. Let y = -0.2 + f. What is the closest to -0.1 in -5, -0.5, y?
y
Let z be (-48)/27*(-12)/(-16). Let r = -1 - -1. Which is the closest to r? (a) z (b) 0.3 (c) 5
b
Let z = 0 + 3. Let g be 9/(-5) - (-2)/2. Let u = -3.7 + 4. What is the closest to z in g, -2, u?
u
Let q = -12.5 - -8. Let a = q - -4. What is the closest to 0 in a, 5, 0.1?
0.1
Let n(h) = h**3 - 5*h**2 + 6*h - 4. Let f be n(3). Let l = 2/5 - 11/15. Which is the closest to l? (a) 1 (b) -0.4 (c) f
b
Let y = -4.6 + 4.5. What is the closest to -1 in y, -0.9, -1/3?
-0.9
Let i be (1/12)/(2/(-20)). Let v = 0.44 + -0.24. What is the closest to 2 in 0.3, i, v?
0.3
Let w be (-6)/28*4/(-3). Let r = -11.15 - -11. Let g = r - -0.35. Which is the nearest to w? (a) 4 (b) g (c) 0.5
b
Let j = -0.3 + 0.6. What is the closest to 1/2 in 1, -0.1, j?
j
Let z = -36 + 614/17. Let m = 3 - 4. Which is the nearest to m? (a) 4 (b) -5 (c) z
c
Let j = -0.4 + 0.3. Let i = j - 0. Let q be 234/(-35) + (-4)/(-10) + 6. Which is the nearest to q? (a) -5 (b) i (c) 2
b
Let l = -3 - 2. Which is the closest to 1? (a) l (b) 2 (c) -0.5
b
Let h be (1 - 28/36)*1. Which is the closest to 2? (a) h (b) 2 (c) -1/4
b
Let p = 7 - 5. Let t = 124 - 125.96. Let m = t - 0.04. Which is the nearest to 0.1? (a) m (b) p (c) -0.1
c
Let x = -8 + 10. What is the closest to -0.4 in -5, 0.2, x?
0.2
Let x = -5.13 - -0.13. Let r = 0 + 0.5. Let n = -1.2 + 1. Which is the closest to -0.1? (a) x (b) n (c) r
b
Let h = -1 + 0.7. Let a be ((-18)/4)/(-9)*-12 + 5. What is the closest to a in 0.5, 2/13, h?
h
Let l = -3 + 6. Suppose -u + 6 = -4*u. Let f be l/(-27)*4/u. What is the nearest to f in 1, 2, -2/5?
-2/5
Suppose 2*f + 2*u = -14, 4*f - 2*u + 3*u + 34 = 0. Let b be f/2 - (-3)/(-6). Let a be (-3 - -2)*1/2. What is the nearest to a in -0.3, -0.1, b?
-0.3
Let l be 5/21 - (-5)/15. What is the nearest to 1 in 1, l, -0.5?
1
Let i = -7.1 + 7.2. What is the nearest to 1 in -0.3, i, 3?
i
Let y = 18 - 52/3. Let u = -8 - -6. Let k = u + 1.9. What is the nearest to 0.1 in y, k, -0.4?
k
Let b = -0.02 + -5.48. Let l = 5 + b. What is the closest to 0.1 in 3, l, -4?
l
Let h = 5.8 - 6. Let d = -11 - -6. Which is the closest to -1/4? (a) h (b) d (c) 0.2
a
Let a be (-4)/(-6) + (-4)/6. Let m be (18/(-15))/(8/236). Let t = m - -35. What is the closest to 2/7 in 2/7, a, t?
2/7
Let f = 2 + -2.5. Let | {
"pile_set_name": "DM Mathematics"
} |
o**4 and give h.
-13
Express -3*k - 2*k - 14 + 6*k as x*k + s and give x.
1
Rearrange -10 + 13 - 8*h**3 - h**2 + h**2 to j + a*h**3 + l*h + o*h**2 and give a.
-8
Rearrange -32*b + 14*b + 13*b to the form f + w*b and give w.
-5
Express -5*q**2 + 3*q**2 + q**2 + (6*q - 3*q - 2*q)*(15*q + 6*q + 11*q) in the form h*q + m + w*q**2 and give w.
31
Rearrange -15*i**2 + 4*i**2 + 6*i**2 - 16*i**2 to the form x + q*i**2 + t*i and give q.
-21
Express -2*s + 4 - 5 + 2*s**2 + 1 - 1 - s**4 in the form m + l*s + b*s**2 + o*s**3 + n*s**4 and give b.
2
Express -2*v - 5*v**2 + 16*v**2 - 5*v**2 - 9*v**2 + v**3 as s + u*v**3 + b*v**2 + f*v and give f.
-2
Rearrange (-3*v - 3*v**2 + 3*v)*(-23 + 23 + 19*v**2) to the form x*v**3 + c + u*v + k*v**2 + f*v**4 and give f.
-57
Express (11 - 7*g - 11)*(3*g**2 - 5*g**2 + 0*g**2) + (5 - 1 - 3)*(0*g + 2*g**3 + 0*g) as a + f*g**2 + o*g + t*g**3 and give t.
16
Express (3*f**2 - 6*f**2 + 5*f**2)*(3 + 127*f - 1 - 131*f) in the form u*f**2 + s + r*f**3 + z*f and give r.
-8
Express -4*u - 5*u - 2*u**2 + 4*u + 3*u as b*u**2 + d*u + p and give b.
-2
Express -34*z**2 + 6 - 4 + 127*z**2 in the form b*z + t + m*z**2 and give m.
93
Rearrange (3*y + 0*y - 5*y)*(12 - 1 - y + 2) to a + j*y + k*y**2 and give j.
-26
Express ((78 - 52 + 47)*(k + 0 + 0) + (-2 + 5 - 1)*(2 - 2*k - 2))*(3*k**2 - 4*k**2 + 4*k**2) in the form n*k**3 + v + l*k + s*k**2 and give l.
0
Rearrange 46*m - 22*m - 26*m + m**3 + m**2 + 2*m**4 to b*m**2 + q + f*m**4 + k*m**3 + n*m and give n.
-2
Rearrange (-w - 3*w + 2*w)*(-1 + 1 - 2*w**2) - 5*w**3 - 36*w + 38*w + 3*w**3 - 8*w**2 to the form s + p*w**2 + i*w**3 + m*w and give m.
2
Express -14*r**2 - 5*r + 0*r + 7*r in the form m + k*r**2 + j*r and give k.
-14
Rearrange -a**3 - 204*a**2 + 204*a**2 + 38 to k*a**3 + u*a**2 + g*a + i and give i.
38
Express (-2 + 1 + 4)*(-l**2 + 12 - 8 - 4*l**4 - 3) as c*l**4 + u + h*l**3 + f*l + g*l**2 and give f.
0
Express 19*z - 3*z + z in the form s*z + o and give s.
17
Rearrange -r + 1 + 2*r**3 + 42*r**4 - 2 - 40*r**4 to the form l*r**2 + x*r**4 + a*r + z*r**3 + f and give z.
2
Express -11*q - 10*q - 5*q as w*q + u and give w.
-26
Express (79 + 3*p - 37 + p**2 - 40)*(1 + 3 + 2) in the form z*p**2 + d*p + c and give c.
12
Rearrange -103*p + 273*p - 76*p - 2 to the form s + z*p and give s.
-2
Express -25 + 43 - 15*w - 19 in the form t + j*w and give j.
-15
Rearrange (-7 + 8 + 5)*(2 - 3 + 2)*(3*v - 3*v - v**2) to r*v**2 + m*v + c and give r.
-6
Express -28 + 17 + 13 + 14*z as w*z + p and give p.
2
Express 3*i**2 - 3*i**2 + 1 - 3 - 9*i**2 as o + a*i**2 + l*i and give a.
-9
Rearrange -3*u + u**4 + 3*u + (1 - 2 - 6)*(-3*u**3 + 3*u**3 - 2*u**4) - 2*u**4 - 4*u**4 + 0*u**4 to the form o*u**2 + c + d*u**3 + z*u**4 + l*u and give z.
9
Rearrange 28*h - 21*h + 4*h**2 - 12*h**2 to d + z*h + m*h**2 and give z.
7
Rearrange (-2*a - a + 5*a)*(-3 + 3 + 4*a**2) + (0 - 3 + 0)*(-a**3 - a + a) to t*a**2 + g*a**3 + s*a + l and give l.
0
Express 4*c**4 + 1 - 3*c**2 + 2*c**4 - 8*c**4 as m*c**3 + b*c**2 + a*c**4 + x*c + s and give a.
-2
Express -2 - 228*h**3 - 2*h**2 + 2 + 229*h**3 as w*h**3 + s*h + x*h**2 + a and give w.
1
Express (-5*o**2 + 7*o**2 + 4*o**2)*(-15*o**2 - 5*o**2 + 0*o**2) as s + w*o**2 + l*o + f*o**4 + h*o**3 and give f.
-120
Express (0 + 1 + 1)*(o - 2*o + 0*o)*(1 - 1 - 5*o) as m*o + g + v*o**2 and give v.
10
Express 735 - 735 - 75*h**2 + (-2*h + 0 + 0)*(-5*h + 0*h + 3*h) + (-6*h + 2*h + 2*h)*(-2*h + 2*h - h) in the form m*h + c*h**2 + k and give c.
-69
Rearrange -25*y**2 + 12*y - 19*y + 7*y to l*y + i + n*y**2 and give n.
-25
Express -30 - w**3 + 29 + 4*w**2 + 0*w**2 in the form k + r*w + b*w**2 + y*w**3 and give b.
4
Express -10*u**2 + 4*u**2 + 2 + 2*u**2 in the form k*u + a + t*u**2 and give a.
2
Rearrange (-5 + 12 - 1)*(3 - 3 - 1)*(j + 5*j - j - 3*j + 0*j + 4*j - 4 + 4 + j + (j - 4*j + j)*(2 - 1 - 3) - j - 2*j + j) to a + y*j and give y.
-54
Rearrange 19*x**2 - 23 + 12 + 11 to the form m + n*x + v*x**2 and give v.
19
Rearrange (13 - 17 + 6)*(-1 + 0 - 2)*(2*o + 5*o - 5*o) to the form i + a*o and give a.
-12
Express 4 - 3 - 3*m - 10*m in the form z + y*m and give y.
-13
Express 102 - 51 + 160*r - 51 as d + n*r and give n.
160
Express -24*u**2 + 754 + 3*u - 754 + 2*u**3 as n + a*u**3 + d*u + p*u**2 and give d.
3
Rearrange -345*c**2 + 346*c**2 + 3*c**3 - 10*c**4 - 2*c - c**3 to the form o*c**2 + n*c + d + g*c**3 + u*c**4 and give g.
2
Express (51*j**3 + 12*j**3 - 106*j**3)*(-4 - 2 + 5) as r*j**3 + z*j + h + u*j**2 and give r.
43
Rearrange -f**4 + 0*f**2 + 3*f - 2*f - f**2 - 3*f**3 to the form h*f + i*f**3 + l*f**2 + q*f**4 + o and give i.
-3
Rearrange 8*m + 5*m**2 - m - 7*m to s + w*m**2 + f*m and give w.
5
Rearrange 126 + y - 145 + y to j + u*y and give j.
-19
Rearrange (-12 - 23 + 3)*(-h**3 + 0*h**3 + 4*h**3)*(1 + 1 + 0) + 0*h**3 - 4*h**3 + 2*h**3 to the form d*h**3 + p*h + r + i*h**2 and give p.
0
Rearrange (5 - 1 - 2)*(-3*c + 3*c - 3*c)*(-4 - 1 + 3) + (2 - 4 + 4)*(3*c + 2*c - 6*c) - c + 2 - 2 + 2 - c - 2 + 0 + c + 0 to n*c + o and give n.
9
Express (-1 + 1 - 2)*(-90*m**2 - 52*m**2 + 51*m**2) in the form o*m**2 + a + p*m and give o.
182
Express -4942 + 4942 - 4*p in the form x + r*p and give r.
-4
Rearrange (5 - 1 - 7*y - 6)*(-y**2 + 4*y**2 - y**2) to q + u*y + z*y**3 + r*y**2 and give q.
0
Express (3*l**2 - l**2 - 4*l**2)*(6 - 6 + 4*l) + (5*l**2 - 2*l**2 - l**2)*(0*l + 4*l - 3*l) in the form w*l**3 + c + d*l**2 + i*l and give w.
-6
Rearrange (0*z**3 + 3*z**3 - z**3)*(1 - 1 - 2)*(-73 + 6 + 9) to h + r*z**3 + d*z**2 + u*z and give r.
232
Rearrange 11*z - 7*z + 7*z + 12*z to the form s + o*z and give o.
23
Express (d + 1 + 0*d - 2*d)*(14*d + 9*d - 7*d) as p*d**2 + i + y*d and give p.
-16
Rearrange (1 + 2 - 2 + 0)*(4 - 22*v - 4) to g + k*v and give k.
-22
Rearrange -9*v**2 + 2 - 2 to x + p*v + u*v**2 and give u.
-9
Express (-1 - 1 + 3)*(-21 - 16 + 38)*(2*n**4 + 0*n**4 - 4*n**4) in the form z*n**2 + f + m*n**4 + c*n**3 + i*n and give m.
-2
Rearrange (12 - 12 + 8*k)*(2*k**3 + 5*k**3 - k**3) to w*k**4 + h*k**2 + m*k**3 + a*k + s and give s.
0
Rearrange 4*n - 3*n**2 - n - n**2 to u*n**2 + m + l*n and give u.
-4
Rearrange -4*x - 12*x - 5*x - 7*x to the form j + y*x and give y.
-28
Rearrange (w**2 - 2*w + 2*w)*(2*w - 3 + 4 - 3) + 6*w**3 + w**3 - 2*w**3 to d + p*w**2 + u*w**3 + y*w and give p.
-2
Rearrange (12 - 12 - 9*c**2)*((4*c - c + 15*c)*(-6 + 1 + 3) + 0*c - c - c) to the form z*c**2 + d + r*c + m*c**3 and give z.
0
Rearrange (0 - 2*x + 0)*(2 - 4 + 3) + x + 3*x - 5*x + 2*x - 62 + 62 to s*x + d and give s.
-1
Rearrange -t + t - 2*t**2 + (2*t - 12 + 12)*(0 - 2 + 4)*(2*t - 7*t + 2*t) to x + k*t**2 + v*t and give k.
-14
Rearrange -2*p**2 - p**3 - 103 + 97 + p**2 to the form z + u*p**2 + o*p + x*p**3 and give z.
-6
Rearrange (0*y - y - y)*(-2*y**3 + 4*y**3 + 0*y**3 + (-4 + 0 + 2)*(18*y**3 + 46*y**2 - 46*y**2)) to v*y**2 + p + j*y**3 + x*y + u*y**4 and give p.
0
Express 37*a**4 + 9*a - 36*a**4 + 3*a**2 - 4*a in the form g + c*a**4 + d*a**2 + n*a**3 + b*a and give b.
5
Express 25*z + 15*z + 2*z - 7*z in the form v + d*z and give d.
35
Rearrange 32*g**2 + 3*g - 2*g**3 - 32*g**2 to d*g + m + c*g**3 + f*g**2 and give c.
-2
Express 541*m**3 - 541*m**3 + 5*m**4 + 2*m - 2*m**2 as n*m + v + r*m**4 + h*m**3 + a*m**2 and give r.
5
Express (o - 4 + 4)*(-32 - 67 - 144 - 79) as a*o + j and give j.
0
Express (0*j - 2*j + 3*j)*(-5*j - j + 2*j + 4*j + 0*j - 2*j + (-2*j + 4*j - j)*(5 - 2 - 2) + 3*j - j - 3*j) as n*j**2 + d*j + w and give n.
-2
Express 0*p**4 + 7*p**4 + 2*p**2 - 10*p**4 - 2*p + 5*p**4 as y + q*p**3 + i*p**2 + w*p**4 + g*p and give i.
2
Express -4*x**2 - 9*x**2 - 3*x + 4*x as w*x**2 + c + k*x and give w.
-13
Rearrange (4*c - 6*c - 3*c)*(2*c - 60 + 5*c**2 + 60) to the form w*c**3 + o*c**2 + j*c + i and give w.
-25
Rearrange (2*u - 3*u + 2*u)*(3 - 4 + 4)*(2*u + 5*u + 0*u) to b*u + l + n*u**2 and give l.
0
Rearrange (0 + 0 - 6)*(-3 + 3 - 2*p**2)*(2 + 3 - 4) to the form n*p**2 + h*p + a and give n.
12
Express (0 + 0 + 1)*(17 - 3*j - 17) + (-4 + 1 + 2)*(-10*j - 19 + 19) as t*j + k and give t.
7
Express (-3*u**2 + 3*u**2 + 2*u**3)*(-u - 3*u + 5*u) - 63*u**4 + 21*u**4 + 3*u**3 + 22*u**4 in the form x*u**3 + o + w*u**4 + l*u + b*u**2 and give l.
0
Express (-496 - 793 + 997)*(w - 2 + 2) as q*w + t and give q.
-292
Rear | {
"pile_set_name": "DM Mathematics"
} |
+ 6*x(g)?
3*g
Let f(j) = -j**3 + j**2 + j + 1. Let o(g) = 2*g**3 + 5*g**2 + 11*g + 6. What is -6*f(z) + o(z)?
8*z**3 - z**2 + 5*z
Let q(p) = 5*p + 2. Let a = -25 - -27. Suppose t + 3 = a*t. Let z(g) = 9*g + 3. Determine t*z(x) - 5*q(x).
2*x - 1
Let t(n) = 7979*n + 303. Let j(z) = 105*z + 4. Determine 303*j(p) - 4*t(p).
-101*p
Let c(t) = 5*t**2 + 4*t - 1. Let u(k) = -26*k**2 - 19*k + 5. Calculate 11*c(p) + 2*u(p).
3*p**2 + 6*p - 1
Let q(g) = -35*g**2 + 21*g. Let l(w) be the first derivative of 3*w**3 - 5*w**2/2 + 485. What is -21*l(d) - 5*q(d)?
-14*d**2
Let g(i) = -4*i - 181. Let a(v) = -6*v - 183. Calculate 3*a(l) - 4*g(l).
-2*l + 175
Let k(z) = 6*z**2 - 2*z + 5. Let j(b) be the first derivative of -b**2 + 5/3*b**3 + 4*b + 11. Determine 4*j(p) - 3*k(p).
2*p**2 - 2*p + 1
Let g(u) = 2*u**2 + 1. Let x(y) = -y**2. Let z be (-7 + 3 + 1)*(-3)/(-9). Give z*g(w) - 4*x(w).
2*w**2 - 1
Let q be ((-64)/(-24))/((-6)/9). Let n(l) = -l + 1. Let x(g) = -4. Give q*n(c) - x(c).
4*c
Let r(i) = 5*i. Let u(g) = -11*g. Suppose y + 33 = -2*y. Let b = 8 - 14. Let x(o) = b*u(o) + y*r(o). Let h(p) = 39*p. Determine 5*h(v) - 18*x(v).
-3*v
Let c(i) = -2*i**2 - 2*i - 2. Let r(d) = -9*d**2 + 68*d - 6. Determine 4*c(x) - r(x).
x**2 - 76*x - 2
Let g(x) = 10*x**2 - 4*x - 3. Let b(m) = -m + 2*m**2 + m**2 + 2 + 4*m - 10*m**2. Suppose 120 = -41*q + 17*q. Give q*g(h) - 7*b(h).
-h**2 - h + 1
Let o(t) = -33*t**2 + 24*t - 24. Let y(k) = -2*k**2 + k - 1. Let l(s) = o(s) - 18*y(s). Let b(i) = i**2 + i - 1. Calculate -6*b(p) + l(p).
-3*p**2
Let x(z) = -158*z**3 - 20*z. Let i(l) = -53*l**3 - 7*l. What is -17*i(s) + 6*x(s)?
-47*s**3 - s
Let n(v) = 2*v**3 - 3*v**2 + 4*v - 3. Let q(z) = -3*z**3 + 4*z**2 - 4*z + 2. Calculate -4*n(s) - 3*q(s).
s**3 - 4*s + 6
Let i(b) = 0 - 6*b + 5*b - 5 + 1. Let v(l) be the third derivative of 5*l**3/6 + 3*l**2. Give -5*i(y) - 4*v(y).
5*y
Let h(i) = 7*i - 4 + 4 + 0. Let b be h(-1). Let v = b - -5. Let c(m) = -3. Let r(q) = -q + 13. Give v*r(o) - 9*c(o).
2*o + 1
Let q(b) = 49*b - 63. Let k(y) = -3*y + 4. Suppose -4*w + 331 = -5*n, -5*n - 2*w = 264 + 43. Give n*k(t) - 4*q(t).
-7*t
Let n(b) = -20*b + 5. Let p be -27 - -41 - (-18)/(-2). Let w(q) = 13*q - 3. Suppose 0 = -5*k - 5 + 45. Give k*w(o) + p*n(o).
4*o + 1
Let q(p) = -84*p - 72. Let v(y) = 39*y + 38. Let u be v(-1). Let h(f) = f + 1. Calculate u*q(x) - 72*h(x).
12*x
Let i(x) = x**3 + x**2 - x + 1. Let w(t) = 10*t**3 + 5*t**2 - 5*t + 4. Let b = -499 - -498. Give b*w(g) + 5*i(g).
-5*g**3 + 1
Let w(f) = 2*f - 4. Let g be ((-13)/(-91)*0)/(2*-2). Let i(s) be the second derivative of -5/6*s**3 - 11*s + g + 9/2*s**2. Give -3*i(c) - 7*w(c).
c + 1
Let x(i) be the third derivative of -i**4/6 + 5*i**3/6 - 9*i**2 + 32*i. Let o(n) = n. Determine -2*o(g) - x(g).
2*g - 5
Let h(w) = w**3 + 29*w**2 - 4*w + 4. Let z(s) = -s**3 - 29*s**2 + 5*s - 5. Determine -5*h(o) - 4*z(o).
-o**3 - 29*o**2
Let q be (2/6)/(1/3). Let a be q/4 + 21/(-4). Let o(m) = -1. Let b(f) = -f - 1. Suppose 4*p + 8 = 0, -3*p - 3 = 2*j - j. What is a*o(y) + j*b(y)?
-3*y + 2
Let q(y) = 8*y**2 - 1. Let n(l) = 2*l + 2. Let h be n(1). Suppose 0 = -2*g + h. Let w(k) = -4 - 17*k**g - 5 + 11. Determine 13*q(s) + 6*w(s).
2*s**2 - 1
Let l(s) = 56*s + 1. Let q(j) = 118*j + 1. Give -5*l(x) + 2*q(x).
-44*x - 3
Let g = 2 + -3. Let x(a) = a**3 + a**2 + a + 1. Let s = 34 - 34. Suppose s = -3*o - 6*o - 36. Let i(h) = -6*h**3 - 5*h**2 - 2*h - 4. What is g*i(q) + o*x(q)?
2*q**3 + q**2 - 2*q
Suppose 4*r = r - 12. Let y be 24/16*r/(-6). Let k(o) = o + 1. Let x(f) = 2*f**2 - f - 5. Calculate y*x(v) + 5*k(v).
2*v**2 + 4*v
Let d = -73 + 77. Let m(a) = -7*a - 3. Let t(z) = -8*z - 3. Give d*t(x) - 5*m(x).
3*x + 3
Let o(n) = n**3 + 2*n - 1. Let p(q) = 58*q**3 + 174*q - 87. Give -174*o(h) + 2*p(h).
-58*h**3
Let r(i) = -3*i + 11. Let l(j) = -j + 4. Let s = 6 + -7. Let n be s + (2 - -1) + 0. Let h = n + -10. Calculate h*l(g) + 3*r(g).
-g + 1
Let i(g) = 2*g**3 - 6*g**2 - g. Let c(t) be the third derivative of t**6/60 - t**5/12 - t**4/12 - 245*t**2. Calculate -6*c(v) + 5*i(v).
-2*v**3 + 7*v
Let p(o) = o + 4. Let g be p(-1). Let f(d) = 5*d**2 + 3*d - 3. Let z(r) = -4*r**2 - 4*r + 4. Determine g*z(s) + 4*f(s).
8*s**2
Let a(p) = -1. Let u(b) = 8*b - 6. Let y(r) = -2*a(r) - u(r). Suppose 0 = 5*s + 3 - 58. Let z(m) = -15*m + 15. Determine s*y(t) - 6*z(t).
2*t - 2
Let c(j) be the first derivative of -7*j**3 - 11*j**2/2 + 16*j + 131. Let p(g) = -4*g**2 - 2*g + 3. What is -2*c(r) + 11*p(r)?
-2*r**2 + 1
Let p(v) = -v - 3. Let i(s) = -52*s - 11. Calculate -i(h) + 4*p(h).
48*h - 1
Let b(l) = -9*l + 42. Let z(p) = -6*p + 28. Give -5*b(k) + 8*z(k).
-3*k + 14
Let f(o) = -2*o + 6. Let b(t) = -1. Suppose 4 = -3*q + 10, 0 = 3*z + 4*q + 10. Give z*b(n) - f(n).
2*n
Let v(s) = -124*s**2 + 9*s + 7. Let q(a) = -61*a**2 + 4*a + 3. What is 5*q(g) - 2*v(g)?
-57*g**2 + 2*g + 1
Let x(t) = t + 116. Let u(o) = 5*o + 463. Calculate 2*u(h) - 9*x(h).
h - 118
Let n(l) = 3*l**2 - 3*l + 3. Let g(t) = -4*t**2 + 4*t - 4. Give 5*g(m) + 6*n(m).
-2*m**2 + 2*m - 2
Let p(s) = -s**2 - 29*s - 199. Let r be p(-18). Let f(x) = -x**3 + x**2 + x - 1. Let b(z) = -3*z**3 + 6*z**2 + 6*z - 6. What is r*b(u) + 6*f(u)?
-3*u**3
Let w(a) be the second derivative of a**5/20 - a**4/12 - a**3/6 - 41*a. Suppose 42*b = 37*b - 25. Let q(s) = -4*s**3 + 5*s**2 + 5*s. Give b*w(y) - q(y).
-y**3
Suppose -2*p + 5*v - v = 0, 3*p - 10 = v. Suppose 75*o - 70*o = 5. Let j(y) = -12*y + 4*y + o + p*y. Let c(r) = -3*r. Determine 3*c(t) - 2*j(t).
-t - 2
Let l(i) = 6*i - 102. Let s(k) = k**2 - 4*k. Determine l(a) + 2*s(a).
2*a**2 - 2*a - 102
Let s(d) be the first derivative of d**2/2 + 1625. Let y(g) be the third derivative of 5*g**4/24 + g**3/6 - g**2. What is -4*s(f) + y(f)?
f + 1
Let m(h) = h - 33. Let d(y) = 1. What is -4*d(f) + m(f)?
f - 37
Let p(j) = 7*j - 3*j + 4*j**2 - 4 + 0*j**2 + j**3. Suppose 24*g - 40 = 176. Let k(b) = -2*b**3 - 9*b**2 - 9*b + 9. Determine g*p(s) + 4*k(s).
s**3
Let l(i) = i - 1. Let d(q) = -4*q**3 - 11*q + 2. Calculate -d(m) - 3*l(m).
4*m**3 + 8*m + 1
Let t(z) = -669*z + 10. Let w(m) = 447*m - 7. Give 5*t(p) + 7*w(p).
-216*p + 1
Let c(z) = -2*z + 5. Let x be (-1)/(11/(-2)) - (-2912)/(-2464). Let f(j) = -1. Calculate x*c(k) - 4*f(k).
2*k - 1
Let a(z) = -105*z**2 - 455*z - 40. Let m(o) = -8*o**2 - 35*o - 3. Give 3*a(v) - 40*m(v).
5*v**2 + 35*v
Let u(o) = -3*o + 50. Let p(c) = -2*c. Give -2*p(w) + u(w).
w + 50
Let y(j) = -792*j**2. Let z(f) = 113*f**2. Calculate 3*y(i) + 20*z(i).
-116*i**2
Let u(c) = -6*c + 5 + 6*c - 4*c. Let w(g) = g - 1. Suppose 2*x + 2*s = -2*s + 28, -4*x = -2*s - 6. Determine x*u(y) + 20*w(y).
4*y
Suppose 0 = -n - h + 11, n + 2*n - 13 = h. Let k(a) = -n*a + 2*a - a. Suppose 10*f = f - 54. Let j(x) = 3*x. Calculate f*k(d) - 11*j(d).
-3*d
Let b(w) = w + 1. Let s(x) = x - 448. What is -3*b(g) + s(g)?
-2*g - 451
Let f(p) = 4*p + 7. Let h = 11 + -12. Let k(c) = -c - 1. Suppose -3*t = 2*r + 7, r - 11 = 3*r - t. Determine h*f(x) + r*k(x).
x - 2
Let x(b) = -332*b**2 + 17*b. Let w(g) = -111*g**2 + 6*g. Determine 17*w(d) - 6*x(d).
105*d**2
Let i(r) = 8*r**2. Let k = -21 + 17. Let d = -8 - k. Let y be d/(-10)*100/(-4). Let c(m) = -m**2. What is y*c(z) - i(z)?
2*z**2
Let q(m) = 12*m**3 + 6*m**2 - 4. Let s(u) = -13*u**3 - 8*u**2 + u + 5. Calculate 4*q(v) + 3*s(v).
9*v**3 + 3*v - 1
Let l(p) = 25*p + 12. Let f(h) = -125*h - 63. Determine -2*f(z) - 11*l(z).
-25*z - 6
Let d be (2 + 0)*(30/(-4))/3. Let v(t) = 4*t + 8. Let b(i) = 5*i + 9. Calculate d*b(k) + 6*v(k).
-k + 3
Let h(f) = -11*f - 1 + 21 - 8 + 1. Let m(r) be the third derivative of -r**2 + 0*r + 5/24*r**4 - r**3 + 0. Determine 4*h(q) + 9*m(q).
q - 2
Let t(d) = -10*d. Let n(c) = -21*c - 1. Determine 2*n(l) - 5*t(l).
8*l - 2
Let l(f) = 11*f**2 + 6*f + 16. Let c(o) = -o**2 - o - 3. Let u(t) = 6*c(t) + l(t). Let k(g) = -60*g**2 + 25. What is -2*k(z) - 25*u(z)?
-5*z**2
Let n(t) = -7*t - 5 - 4 + 4 - t**2. Let r = -22 + 28. Let g(j) = r*j + 1 + 5*j - 10*j. Calculate 6*g(f) + n(f).
-f**2 - f + 1
Let r(i) = -3*i - 25. Let s(n) = 8*n + 51. What is -10*r(o) - 4*s(o)?
-2*o + 46
Let s(n) = -45 + 2*n - 43 - 35 + 117. Suppose -2*g = -3*g + 4. Let a(o) = -o + 5. Give g*a(y) + 3*s(y).
2*y + 2
Let x = 5 + -13. Let j(y) = -14*y**2 + 17*y - 11. Let n(m) = -5*m**2 + 6*m - 4. Determine x* | {
"pile_set_name": "DM Mathematics"
} |
**3 + 2*d + 2
Let i(h) = 34*h**3 + 6*h**2 + 6. Let q(r) = -r**3 + r**2 + 1. What is i(a) - 6*q(a)?
40*a**3
Let p(g) = -g + 1. Let z(n) = 6*n - 3*n + 8 - 6*n - 9*n. Give 8*p(r) - z(r).
4*r
Let r(f) = 5*f**2 + 2*f + 1. Let u be r(-1). Let g(j) = -u - j**2 - 4 + 4 - 1. Let y(v) = -2*v**2 - 9. Let p be -1 - (-20)/(-2*1). Determine p*g(z) + 6*y(z).
-z**2 + 1
Let y(z) = 5*z - 4. Let v(k) = -4*k + 4. What is 4*v(b) + 3*y(b)?
-b + 4
Let j(v) = 236*v + 0*v**2 + 5 - 230*v - v**2. Let q(w) = -w**2 + 5*w + 4. Let n = 6 + -2. Give n*j(z) - 5*q(z).
z**2 - z
Let q(j) = -2*j - 5. Let f be (-2)/1*(-1 - 1). Let v = f - 6. Let a(l) = -l - 1. Let r be a(v). Let t(h) = 1. Calculate r*q(i) + 5*t(i).
-2*i
Let c(t) be the first derivative of -3*t**3 + 7*t - 3. Let w(z) = 5*z**2 - 4. What is -3*c(u) - 5*w(u)?
2*u**2 - 1
Let a(n) = 28*n + 15. Let c(r) = 9*r + 5. Let s(g) = 2*a(g) - 7*c(g). Let q(b) = -3*b - 2. Let w be (2 + 0)*10/(-4). Determine w*q(x) + 2*s(x).
x
Let k = 0 + 4. Let b(p) = -2*p**2 - 2*p + 3. Let u(n) = n**2 - 1. Calculate k*u(i) + b(i).
2*i**2 - 2*i - 1
Let i(l) = -7*l**2 - 6*l - 36. Let u(y) = -6*y**2 - 5*y - 36. Determine -5*i(j) + 6*u(j).
-j**2 - 36
Let t(b) = -2*b**2 - 7*b - 6. Let o(r) = -2*r**2 - 6*r - 5. Let k = 23 + -19. What is k*t(f) - 5*o(f)?
2*f**2 + 2*f + 1
Let j(d) = -4*d - 1. Let a(y) = 4*y + 2. Determine 2*a(c) + 3*j(c).
-4*c + 1
Suppose 3*p - 30 = -3*p. Let l be (2 - -2) + 0/3. Let c(r) = r - r + 5 + l*r. Let q(n) = -2*n - 2. Determine p*q(x) + 2*c(x).
-2*x
Let w(i) = 3*i. Let a(q) = -5*q. Give -4*a(z) - 7*w(z).
-z
Let c(a) = a - 3. Let k(b) be the second derivative of -b**3/6 + b**2 + b. Let o = 2 + 0. Give o*c(g) + 3*k(g).
-g
Let j = -7 - -9. Let t(d) = -1 - 9*d - 5 + j - 3. Let f(v) = -5*v - 4. Let z be (9/(-6))/((-3)/(-8)). Calculate z*t(k) + 7*f(k).
k
Let i(c) be the first derivative of -c**2/2 - c + 21. Let p(u) = 2*u**3 - 2*u - 2. Give 4*i(j) - 2*p(j).
-4*j**3
Let p(m) = m. Let u(k) = -8*k + 1. Let h be (0 + 18)*4/12. What is h*p(a) + u(a)?
-2*a + 1
Let q(s) = 11*s**3 - 4*s**2 - 8*s - 4. Let a(c) = c**3 - c. Let v(o) = -4*a(o) + q(o). Let p(k) = 6*k**3 - 3*k**2 - 3*k - 3. Calculate 4*p(y) - 3*v(y).
3*y**3
Let n(r) = 9*r - 24. Let j(c) = -2*c + 5. Let h(q) = 5*q + 26. Let u be h(-10). What is u*j(t) - 5*n(t)?
3*t
Let v(y) = -y**2. Let w(s) = -8*s**2 + 1. Let l = -22 - -21. Give l*w(t) + 6*v(t).
2*t**2 - 1
Let x(w) = -2*w**2 + 2*w - 2. Let n(v) = -v + 1. Calculate 12*n(b) + 6*x(b).
-12*b**2
Let q(v) = 1. Let t(d) = d + 3. Suppose 6*p - p + l - 6 = 0, 5*l = 2*p + 3. Suppose p = 3*u - 14. What is u*q(s) - t(s)?
-s + 2
Let k(n) = 3*n - 4. Let o(j) = -2*j**3 + 29*j**2 + 15*j + 1. Let c be o(15). Let u(l) = l - 1. Calculate c*k(d) - 5*u(d).
-2*d + 1
Let h(f) = 3*f**3 - 3*f**2 - 5*f + 5. Let u(g) = 4*g**3 - 3*g**2 - 6*g + 6. Determine 6*h(i) - 5*u(i).
-2*i**3 - 3*i**2
Let x(m) = 455*m + 143. Let h(o) = -19*o - 6. What is 143*h(n) + 6*x(n)?
13*n
Let z(r) = -3*r**3 - 2. Suppose 38 = 2*x + 3*l, x - 4*x = 3*l - 51. Let g(f) = 0*f**2 + x*f**3 + 9 + 0 + 0*f**2. Determine 4*g(w) + 18*z(w).
-2*w**3
Suppose -3 = -q - 1. Let l(u) = 0*u**2 + 6 - 4*u - 2 + q*u - u**2. Let a(t) = 3*t**2 + 5*t - 11. Determine 4*a(p) + 11*l(p).
p**2 - 2*p
Let h(w) = 8*w - 3. Let g(s) = 4*s - 1. Give 5*g(l) - 2*h(l).
4*l + 1
Let r(n) = 8*n**3 + 8. Let q(k) = -7*k**3 - 7. What is 6*q(v) + 5*r(v)?
-2*v**3 - 2
Suppose 0 = -2*k - 11 + 1. Let b(w) = -4*w**2 - 7*w - 7. Let l(s) = 3*s**2 + 6*s + 6. Give k*b(m) - 6*l(m).
2*m**2 - m - 1
Let g(a) = -5*a. Let n(s) = 9*s. Let w(o) = o**3 + o**2 - 2*o + 11. Let t be (0*(-2 + 3))/1. Let b be w(t). What is b*g(v) + 6*n(v)?
-v
Let c be 3 + -2 + (-1)/(-1) + 2. Let f(z) = -5*z**3 - 8*z**2 + 4*z - 4. Let v(i) = 4*i**3 + 7*i**2 - 3*i + 3. Calculate c*v(g) + 3*f(g).
g**3 + 4*g**2
Let y(z) = z**2 + 9*z + 10. Let d be y(-8). Let g(f) = -f**d + f + 2 + f**3 - f. Let r(s) = 2*s**3 - 2*s**2 + 5. What is -5*g(t) + 2*r(t)?
-t**3 + t**2
Let a(b) = b + 4. Let f(h) = h + 3. Let s(j) = -j - 2. Let k(c) = 3*f(c) + 2*s(c). Let p(w) = w. Let v be p(-4). Give v*a(u) + 3*k(u).
-u - 1
Let y(d) = d. Let l(c) = 4*c. Determine -3*l(a) + 14*y(a).
2*a
Suppose -11 = -b + 5*l + 5, 5*l = -5*b + 50. Suppose -b = 4*i + 33. Let z(c) = -9*c**2 - 4*c - 15. Let w(y) = -5*y**2 - 2*y - 8. What is i*w(v) + 6*z(v)?
v**2 - 2*v - 2
Let c(t) = 31*t**3 + 5*t**2 - 5*t. Let i(g) = -46*g**3 - 8*g**2 + 8*g. Calculate 8*c(w) + 5*i(w).
18*w**3
Suppose 3*r + 21 = -2*z - z, 3*z = r - 17. Let f be (2 - -1)*(z + 5). Let y(g) = -g. Let u(t) = 3*t**2 - 3*t. What is f*y(a) + u(a)?
3*a**2
Let l(y) = 5*y**3 - 3*y**2 + 4. Let o(b) = -6*b**3 + 2*b**2 - 3. What is 2*l(m) + 3*o(m)?
-8*m**3 - 1
Let f(c) = -36*c**3 - 21*c**2 - 21*c - 21. Let z(d) = 7*d**3 + 4*d**2 + 4*d + 4. Let m = 17 - 13. Calculate m*f(u) + 21*z(u).
3*u**3
Let y(a) = -a**2 + a - 1. Let t(k) = -4*k**2 - 6*k + 6. Determine t(c) + 6*y(c).
-10*c**2
Let u(d) = 3*d**3 + 7*d**2 + 4. Let x(b) = -2*b**3 - 4*b**2 - 2. Suppose 3*r - 11 = -2. Give r*u(k) + 5*x(k).
-k**3 + k**2 + 2
Suppose 2*t + 87 = -3*n, 3*n - 4*n = -1. Let d(m) = 110*m**3 + 45*m**2 + 45. Let r(y) = 5*y**3 + 2*y**2 + 2. Give t*r(f) + 2*d(f).
-5*f**3
Let u(g) = -2*g**3 + g**2. Let d(z) be the second derivative of z**5/20 - z**4/12 + 4*z. What is d(t) + u(t)?
-t**3
Let c(d) = 58*d + 1. Let t(x) = -x. Calculate -c(z) - 5*t(z).
-53*z - 1
Let k(a) = a + 26. Let j(l) = -l - 25. Determine 4*j(u) + 5*k(u).
u + 30
Let s(j) = -3*j + 0*j - 5 + 2*j. Let k(i) = i + 4. Determine 3*k(r) + 2*s(r).
r + 2
Let o(h) be the second derivative of h**4/12 - h**3/6 - 12*h. Let z(b) = 2*b**2 - 2*b - 1. Give 3*o(p) - z(p).
p**2 - p + 1
Let i(c) = -2*c - 6. Let w(h) = -3*h - 7. Give -6*i(f) + 5*w(f).
-3*f + 1
Let y(b) = b. Let v(a) = a**2 + 13*a - 1. Determine -v(u) - 3*y(u).
-u**2 - 16*u + 1
Let w(k) = 4*k**2 - 3. Let j(v) = -13 + 4*v**2 + 12*v**2 + v**2. Let f(o) = 6*o + 0*o - 5*o + 12. Let h be f(-10). What is h*j(u) - 9*w(u)?
-2*u**2 + 1
Let o(c) = 2*c**2 - 2. Let w(t) = 3*t**2 - 2. Give 4*o(j) - 3*w(j).
-j**2 - 2
Let q(z) = 4*z + 3. Let v(b) = 11*b + 9. Give -8*q(h) + 3*v(h).
h + 3
Let r(i) = -i**2 + 0 + 2*i**2 + 0. Let p(z) = 16*z**2. Calculate 2*p(y) - 36*r(y).
-4*y**2
Let g be (8/(-6))/((-2)/(-6)). Let x(q) = 2*q + 1. Let b be (4/(-4))/(-2)*10. Let f(u) = -2 - 2 + b + u. What is g*f(s) + 3*x(s)?
2*s - 1
Let v(g) = 2*g + 7. Let z be 48/12 + 0/(-1). Let a(t) = t + 6. Calculate z*v(u) - 5*a(u).
3*u - 2
Let f(x) be the second derivative of -x**4/12 - x**3/6 - x**2/2 - 12*x. Let i(n) = 4*n**2 + 5*n + 5. Let d = 1 - 2. Calculate d*i(t) - 5*f(t).
t**2
Let b(m) = 3*m**2 - 2. Let x(o) = 7*o**2 - o - 5. Let f be 2 - 4 - (-2 + -24). Let h be ((-6)/(-4))/((-2)/(-12)). Let j be f/h + (-2)/3. Give j*x(t) - 5*b(t).
-t**2 - 2*t
Let z(o) = -11*o. Let b = -93 + 59. Let q(u) = 4*u - 6 + 6 - 6*u. What is b*q(t) + 6*z(t)?
2*t
Let s(z) = 24. Let k(r) = -17. Let q(i) = -7*k(i) - 5*s(i). Let m(p) = p - 3. Give m(w) - 5*q(w).
w + 2
Let z(u) = -4*u**2 - 3*u + 4. Let a(t) = -3*t**2 - 4*t + 5. Calculate 3*a(n) - 4*z(n).
7*n**2 - 1
Let x = -11 + 20. Suppose -o + 3 = -5*k - 18, o = -k - x. Let i(w) = -2*w**2 - 3*w - 3. Let s(v) = 4 + 4*v**2 + 3 + 2*v - 2 + 3*v. Calculate k*i(d) - 3*s(d).
-2*d**2
Let d(m) = -m**3 - m**2 - m + 1. Let l(p) = 19*p**3 + 7*p**2 + 6*p - 8. Determine 6*d(v) + l(v).
13*v**3 + v**2 - 2
Let d(f) be the second derivative of -f**5/5 + f**4/6 - f**3/3 + f**2 - 22*f. Let u(a) = -a**3 - a**2 + a - 1. What is d(x) + 2*u(x)?
-6*x**3
Let s(n) = -n**3 + 2. Let o be s(0). Let k(x) = -x + 1. Suppose -4*l - 17 - 1 = -2*z, 4*z = -5*l - 29. Let c(f) = -3 - 4 - 3*f + 10. What is o*k(v) + z*c(v)?
v - 1
Let u(v) = -v**3 - v + 1. Let q(d) = 12*d**3 - 5*d + 5. What is 3*q(i) - 15*u(i)?
51*i**3
Suppose -8 = -0*o - 2*o. Let z(k) = k**2 + 5*k - 1. Let h be z(-5). Let w be h/2*(-7 + 9). Let p(q) = q + 4. Let f(r) = 1. Calculate o*f(x) + w*p(x).
-x
Let g(p) = 37*p**3 - 4*p + 4. Let m(z) = 74*z**3 - 7*z + 7. Give -7*g(t) + 4*m(t).
37*t**3
Let g(i) = i**3 - i**2 + 3*i + 4. Let f(a) = 5*a**3 + a**2 - a + 5. Let q(x) = 6*x**3 + x**2 - x + 6. Let o(v) = 7*f(v) - 6*q(v). Give g(s) + 3*o(s).
-2*s**3 + 2*s**2 + 1
Let n(w) = 1. Let p(a) = -7*a + 1. Let h(t) be the third derivative of -t**4/3 + t**3/6 - 2*t**2. Let v(q) = -5*h( | {
"pile_set_name": "DM Mathematics"
} |
, 5, 12 in decreasing order.
12, 5, y
Let u(o) = o**3 + 18*o**2 - 8*o - 148. Let h be u(-18). Sort h, 2, 31.
h, 2, 31
Let d be ((-3)/(-2))/((-219)/(-72) - 3). Suppose -d*c + 32*c - 4 = 0. Sort c, 3, 17, -4 in descending order.
17, 3, c, -4
Suppose -5*d - o - 66 = 0, -3*d = -0*o + 4*o + 43. Let p = -12 - d. Sort 4, p, -3.
-3, p, 4
Suppose -2 = -2*r - 3*r + y, 4*r - y - 2 = 0. Suppose -5 = 5*i, -5*o - i - 2*i = 63. Let q(h) = h + 15. Let w be q(o). Put 5, r, w in ascending order.
r, w, 5
Let k be -3 + 2590/(-511) - (-56)/7. Sort 4, -0.3, k in decreasing order.
4, k, -0.3
Suppose 16 = -210*g + 214*g, 5*v + 2*g - 23 = 0. Put v, 1, -487 in ascending order.
-487, 1, v
Let y = 164 + -153. Sort 2, y, -5 in increasing order.
-5, 2, y
Suppose 70 = 5*b + 45. Sort b, 4/21, -2, 0.1 in descending order.
b, 4/21, 0.1, -2
Let v = -10.1 + 7.2. Let d = v - -0.7. Let h = d - -2.6. Put 0.3, 1, h in descending order.
1, h, 0.3
Suppose 0 = -3*d + 5 - 2. Suppose 2*i + i = 4*y - 27, 2*y - d = -i. Sort i, -4, -3.
i, -4, -3
Let a(f) = f + 11. Let q be a(-9). Put -3, q, 0, -11 in decreasing order.
q, 0, -3, -11
Let c(b) = b**2 - 6*b - 17. Let a be c(8). Let f be 1*-15*(a + 2). Let j = -18 - f. Put 2, 5, j in ascending order.
j, 2, 5
Suppose -14*m - 26 = 16. Let b = -1 + -1. Let u = b + 4. Sort m, 5, u.
m, u, 5
Suppose -11*i + 10*i - 3 = 0. Let c = 5 - 0. Let q be 3/c + (-46)/10. Sort -2, q, i in increasing order.
q, i, -2
Let b(m) = -m**2 - 9*m + 10. Let n be b(-9). Let t be (4/2)/(4/10). Put 2, n, t, -4 in decreasing order.
n, t, 2, -4
Suppose 0 = 4*v + v - 20. Suppose 0 = 4*a + v*t + 40, -3*a + 5*t - 58 = a. Sort 1, -1, a in ascending order.
a, -1, 1
Let s(d) = d**3 - 21*d**2 - 47*d + 30. Let j be s(23). Let q be 8/6*3/2. Put 5, j, -1, q in increasing order.
-1, q, 5, j
Let h = -28 - -85/3. Let n = -4 + 4. Let x = -0.5 + 0.9. Put h, n, x in descending order.
x, h, n
Let h = 24 - 20. Let v be (-29)/((-4901)/26) + 30/(-26). Put v, -22, h in descending order.
h, v, -22
Let s(u) = 10*u - 4. Let m be s(3). Let p = m - 7. Suppose -p = 5*h + 6. Sort h, -3, -2 in descending order.
-2, -3, h
Let l(f) = 8*f - 47. Let q be l(7). Suppose q*j = 8*j + 5. Put j, -7, 1 in descending order.
j, 1, -7
Suppose -4*y - 313 + 329 = 0. Put -35, -5, y in descending order.
y, -5, -35
Let r = -11 + 7. Let f = -115 - -1037/9. Let n be ((-8)/(-16))/(2/(-20)). Put f, n, r in increasing order.
n, r, f
Let q = 19.1 + -2.1. Let p = -23 + q. Sort p, -1, 0.3 in increasing order.
p, -1, 0.3
Let d = -96.5 + 164.2. Let m = 68 - d. Put -1, -2/3, 5, m in descending order.
5, m, -2/3, -1
Let q be (-8)/(-7 - -11) - (0 - 1). Let h(i) = -2*i**3 + 4*i**2 + 6*i - 2. Let b be h(4). Let y be (-2)/4 - b/60. Sort y, 1, q in ascending order.
q, y, 1
Suppose 1 = -k - 1. Let t(f) = -6*f + 67. Let l be t(10). Sort l, k, 5.
k, 5, l
Let s = -11 - -14. Let y be s - 6 - ((-126)/(-8))/(-7). Let w be 20/(-6) + (-1)/(-3). Sort w, y, 2/9 in descending order.
2/9, y, w
Let z = 0.248 - 1.248. Let x = -0.09 - 3.91. Sort -1/6, x, -0.5, z in increasing order.
x, z, -0.5, -1/6
Let q = -4/9947 + 366622/9947. Let t = -37 + q. Sort 2, 3, t in ascending order.
t, 2, 3
Let c = 614 - 609. Put c, 4, -32 in ascending order.
-32, 4, c
Let o = -355 - -356. Sort o, 0, -26.
-26, 0, o
Let i = -22 + 24. Suppose 2*d - d = i. Sort 3, 5, 0, d.
0, d, 3, 5
Let b be ((-4)/(-16))/((-55)/(-132)). Let n = -4 + 4.5. Sort 2/11, n, 9, b in ascending order.
2/11, n, b, 9
Suppose 0 = c + 3*r + 7, 13 = -2*r + 5. Suppose 0 = -4*x - 4*g, c*g + 39 - 3 = 4*x. Put x, 16, -1 in descending order.
16, x, -1
Let y = 101 - 105. Let o be 5/((-12)/4 + 0). Sort 1, -2, y, o in increasing order.
y, -2, o, 1
Let n = -0.275 + 0.475. Put n, 0.3, 0.5, 2/9 in descending order.
0.5, 0.3, 2/9, n
Let r = -875 - -875.3. Sort r, 0.4, 583.
r, 0.4, 583
Let t be 123/205 - ((-24)/110 + 1). Put t, -0.3, 7 in descending order.
7, t, -0.3
Let t = 346 + -348. Put -3, 1, 34, t in decreasing order.
34, 1, t, -3
Suppose 13 + 11 = 4*a. Sort a, -3/2, 0.2 in decreasing order.
a, 0.2, -3/2
Let c = 1.6 - 1.3. Let s = 11 + -10.92. Let d = s + -0.18. Sort d, c, -3.
-3, d, c
Suppose -h + 3*x - 2 + 0 = 0, 2*x = -5*h + 41. Suppose 0 = h*g - 18 + 4. Sort -4, 6, g, 0.
-4, 0, g, 6
Let l = -10 + 20. Let j be -4 - (-1 - l - -3). Suppose -4*i = -j*w - 4, 3*w + 1 = 5*i - 0. Sort 1, -3, w in descending order.
1, w, -3
Let u = 0.7 - 1. Let d = -623/5 - -3743/30. Sort u, d, -3/5, 3 in decreasing order.
3, d, u, -3/5
Let n = 827/4 - 207. Put n, 4, -5, -6 in descending order.
4, n, -5, -6
Suppose -11 = -j + 6. Let g = j - 13. Put g, 2, -16, -3 in descending order.
g, 2, -3, -16
Let y = -255 + 260. Put y, 12, 0 in decreasing order.
12, y, 0
Suppose 1142*f = 1155*f. Suppose -2*z = -5*z - 12. Sort z, f, 4 in decreasing order.
4, f, z
Let m = -4.76 + 4.96. Sort m, -6, 0.4, 0.3.
-6, m, 0.3, 0.4
Let h = 1.1 + -1.4. Let b = -0.7 - h. Let w = 3.4 - 10.4. Put b, w, 4 in increasing order.
w, b, 4
Let l = 102 - 110.8. Let b = l - -10. Let v = b - 1.4. Sort -5, 0.4, v in decreasing order.
0.4, v, -5
Let w(m) = -m**3 + 7*m**2 - m + 10. Let u be w(7). Suppose -u*s - 9 = -6*s. Suppose 1 = -f - s. Put 0, f, 3 in descending order.
3, 0, f
Suppose 3*o - n + 7 = 0, 0 = 3*o + 5*n - 7*n + 5. Put -2, o, 0, 2 in descending order.
2, 0, -2, o
Let v(g) = g**3 - 2*g**2 - 3*g + 3. Let p be v(-3). Let s = p + 563/17. Sort s, 8, 1/2 in descending order.
8, 1/2, s
Suppose -5*z = -3*f - 23, 4*z + 11*f - 13*f - 18 = 0. Let j be (2/(-2))/(1/(-2)). Sort j, 3, z, -3 in decreasing order.
z, 3, j, -3
Suppose 276 = 4*q - 3*a, -q - 4*a + 62 = -3*a. Suppose -8*j - q = 3*j. Let v(x) = x**2 - 3*x + 1. Let y be v(4). Put j, -4, y in decreasing order.
y, -4, j
Let x = -187 + 186. Sort -5, x, -8, 5.
-8, -5, x, 5
Let m = 5.716 + -0.016. Let d = -162 + 158.3. Let g = d + m. Put g, 0, -0.3 in ascending order.
-0.3, 0, g
Suppose 5*t + 846 = 3*n - 30, 0 = t + 5*n + 164. Let f = t - -179. Let k(w) = 8*w**3 - 2*w - 1. Let a be k(-1). Sort 0, a, f in decreasing order.
f, 0, a
Let c = 24 + 1. Suppose -5*q + 0*q + c = 0. Sort 6, -1, q in descending order.
6, q, -1
Let y be (-294)/(-35) - -3 - (-15)/25. Put y, 5, 1 in descending order.
y, 5, 1
Let i be 16/(-156)*(-3)/(-2). Sort -1, 11/10, 0, i in ascending order.
-1, i, 0, 11/10
Suppose 3*n = 11 - 5. Let i be (-9)/(-2) - 4 - 9/n. Put i, 0, -5, 18 in decreasing order.
18, 0, i, -5
Suppose 14*l - 3*l = -3*l. Sort -15, -4, l in decreasing order.
l, -4, -15
Let z(v) = -v**3 + 8*v**2 - 6*v - 4. Let c be 4/(-10) - 37/(-5). Let y be z(c). Let o be (-8)/6*378/504. Put y, o, -5 in decreasing order.
y, o, -5
Let o = 1932 - 1928.1. Sort 2/11, o, -2 in descending order.
o, 2/11, -2
Let j = -47 - -53. Let x be (2/(-7))/(j/14). Put -3, x, 3/5, -2/5 in ascending order.
-3, x, -2/5, 3/5
Let r be -4*(-7)/(-70) + (-44)/(-10). Sort 10, -5, r in decreasing order.
10, r, -5
Let z(m) = m**3 - m**2 - 2*m - 1. Let t be z(-1). Suppose i = -a + 3*a - 3, 5*a - 6 = 4*i. Let l be (1/2)/(t/a). Sort 9, l, 0 in increasing order.
l, 0, 9
Let f(d) = -4*d**2 + 95*d + 24. Let b be f(24). Put -3, b, 11 in increasing order.
-3, b, 11
Let k = 2.9 - 3. Let d = 2.1311 - 0.1311. Put -5, -2/11, k, d in decreasing order.
d, k, -2/11, -5
Let l = 5 - 6. Suppose -2*i = -c - 4, 3*c = 7*c - 4*i + 12. Put -3, 2/5, c, l in increasing order.
-3, c, l, 2/5
Suppose 21*b + 283 = -11. Sort 8, b, 2.
b, 2, 8
Let b = 347/6 + -173/3. Sort b, 2/7, 27, 3 in ascending order.
b, 2/7, 3, 27
Suppose -u + 0 + 5 = 0. Suppose -5*f + 5 = -5*t, -17 + 4 = -5*f + t. Suppose 0 + 21 = -f*w. Sort w, 0, u.
w, 0, u
Let p(v) = 2*v + 9. Let h be p(-4). Let q = -342 - -339. Put h, q, -5 in descending order.
h, q, -5
Let x(r) = -r**2 - 2*r + 4. Let w be x(-3). Let i(s) = -s**3 - 14*s**2 + 32*s + 5. Let y be i(-16). Sort y, w, -10, -1.
-10, -1, w, y
Let x = -288 + 291. Suppose -5*t - 41 - 37 = -3*c, t = -2*c - 13. Sort x, t, 0.4 in descending order.
x, 0.4, t
Let v(o) = -o**3 + 3*o**2 + 5*o + 25. Let j be v(5). Put 2, j, 1/8, 0.6 in descending order.
2, 0.6, 1/8, j
Let o = -0.6 - 5.9. Let f = o + 6. Put -4, 4, f in descending order.
4, f, -4
Let n be 1248/(-260)*(-5)/2. Sort -5, -3, n, 8 in increasing order.
-5, -3, 8, n
Let x be ((-24)/(-21))/(18/21). Let l = -97/2 - -2033/42. Sort -1, l, 3, x.
-1, l | {
"pile_set_name": "DM Mathematics"
} |
= 1.54 - 0.14. Let n = 2.8 - j. Let m = 1.39999987 - n. What is m rounded to 7 dps?
-0.0000001
Let g = -48.85 - -47. Let k = g + 1.757. Round k to 2 decimal places.
-0.09
Let x = 37.0000344 - 37. What is x rounded to 5 decimal places?
0.00003
Let k = -0.46 + 0.373. Round k to 2 dps.
-0.09
Let o = 10.4 + -4. What is o rounded to the nearest integer?
6
Let p = -0.0472 - -0.06. Let o = 0.01 - p. What is o rounded to three decimal places?
-0.003
Let v = -18.59 + -0.41. Let r = v + 17.25. Round r to one dp.
-1.8
Suppose -3*p = -20662 + 4426. Suppose b + 13512 = -0*b. Let v = p + b. What is v rounded to the nearest one thousand?
-8000
Let g = 0.07 + -5.07. Let w = g - -4.997. What is w rounded to three dps?
-0.003
Let v = 195.871 + -196. Let z = 0.12900061 + v. Round z to seven decimal places.
0.0000006
Let b = 27.999896 - 28. What is b rounded to five dps?
-0.0001
Suppose 2*l - 2234 = 5292. Suppose -t = -5*b + l - 515, 2*t - 4 = 0. Round b to the nearest 100.
700
Let y = 3 + -2.999992. What is y rounded to six decimal places?
0.000008
Let q = 2 + -5. Let g(s) = 4*s**2 - 3*s + 3. Let r be g(3). Let z be 2800000/q*r/4. Round z to the nearest 1000000.
-7000000
Let a = 1636 - 3636. Round a to the nearest ten thousand.
0
Suppose 0 = -0*d - 6*d + 42000. Round d to the nearest one thousand.
7000
Let l = 45 - 45.000083. What is l rounded to five dps?
-0.00008
Let k = -0.8 + -21.2. Let g = k - -26.5. Round g to the nearest integer.
5
Let x(m) = m + 13. Let q be x(-7). Let a(u) = 24*u + 6. Let b be a(q). What is b rounded to the nearest 100?
200
Let y = -218164264327.87099972 - -218164256311. Let w = y - -8017.771. Let k = w - 0.9. What is k rounded to 7 decimal places?
0.0000003
Let c be ((-16)/(-6))/(4/6). Let z be (-243594)/21 - c/14. What is z rounded to the nearest one thousand?
-12000
Let k = 3 + -10. Let n = k - -12. Suppose 5*m = 4*t + 3815, n*t + 4762 = 2*m + 2*m. What is t rounded to the nearest 100?
-1000
Suppose 68 + 107 = 5*v. Let a be -2 - v*2/(-2). What is a rounded to the nearest 10?
30
Let d = -0.204 - -0.20309. Round d to four dps.
-0.0009
Let f = 5238 - 10118. What is f rounded to the nearest 1000?
-5000
Suppose -3*l = -5*c - 3003, 3*c = l + 6*c - 987. Suppose 0 = 2*x - 5*x + l. Suppose -3*y - x = -7*y. Round y to the nearest ten.
80
Let x be (342/4)/((-6)/(-248)). Suppose -6*h - 2358 = -2*g - 2*h, x = 3*g - 5*h. Let m = g - 113. What is m rounded to the nearest one hundred?
1100
Let u = 26.9828 + -27. Round u to three dps.
-0.017
Suppose 5*j = 14*j + 855. What is j rounded to the nearest 10?
-100
Suppose 3*s + 4*c = s + 448, 3*s - 4*c = 672. Suppose 3*l - 7*l - s = 0. Round l to the nearest ten.
-60
Let c = -2.515 - -0.228. Let t = c - -2.3. Round t to 2 decimal places.
0.01
Suppose 2*f + 1376 = 86. Let r = f + 15. Round r to the nearest 100.
-600
Let c = 0.08031 + -0.08. Round c to 5 decimal places.
0.00031
Let c = -42 - -45.4. Let y = -13.6 - c. Let s = y + 16.9944. Round s to 3 dps.
-0.006
Let a = -47.0025 - -47. Round a to 3 dps.
-0.003
Let k = 0.1632 - -100.9298. Let x = k + -101. Round x to 2 dps.
0.09
Let y = -2590.487 - -2587. Let f = -3.4 - y. Round f to 2 decimal places.
0.09
Let i = 0.8 + -1.1. Let s = -0.30000002 - i. Round s to seven dps.
0
Let o = 46 + -46.245. Let m = 13.345 + o. Let i = -13.1000073 + m. What is i rounded to six dps?
-0.000007
Let q = -1356303 + 927303. Round q to the nearest ten thousand.
-430000
Let n = 4 - -5. Suppose 0*v + n = 3*v. Suppose v*u + 2*u = -495. Round u to the nearest 10.
-100
Let p be (-456)/15 - (-10)/25. What is p rounded to the nearest one hundred?
0
Let h be (360/(-7) + 0)*-28. Suppose -7*m = -4*m + h. What is m rounded to the nearest one hundred?
-500
Let r be (143248/(-12) - -4)*1500. What is r rounded to the nearest 1000000?
-18000000
Let i(k) = 2474*k - 4. Let v be i(4). Suppose 0 = -3*m - 4*y - v, -2*y + y = 3*m + 9898. What is m rounded to the nearest 1000?
-3000
Let x(u) = u**3 - 12*u**2 - 9*u - 10. Suppose -3*n + 33 = p, n + 5*p - 22 = p. Let v be x(n). Let c be 560/6*v*175. Round c to the nearest 1000000.
-5000000
Let f(t) be the third derivative of -2*t**2 + 3/20*t**5 - 1/3*t**3 + 0 - 17/120*t**6 + 0*t + 5/12*t**4. Let a be f(-7). Round a to the nearest one thousand.
6000
Let z = 4.54 + -3.9. Let p = -0.63999917 + z. Round p to seven decimal places.
0.0000008
Let j = -94.9 - -84. What is j rounded to the nearest integer?
-11
Let u = 0.1695 + -0.16951157. What is u rounded to six dps?
-0.000012
Let t = -307 - -307.00147. What is t rounded to four decimal places?
0.0015
Let o = -298 + 297.9524. Let z = -0.043 - o. Round z to three dps.
0.005
Suppose -3*o = -2*o + 680000. What is o rounded to the nearest one hundred thousand?
-700000
Suppose -5*s = 5*d - 25, -2*s - 31 = -7*s - 2*d. Let p = s + -5. Suppose p*b + 2*j + 2658 = -1734, 5*b + 10984 = -4*j. Round b to the nearest 1000.
-2000
Let k = 4026 + -26826. Let r be 35/(2*(-3)/k). Round r to the nearest 10000.
130000
Let z = -2135 - 1765. What is z rounded to the nearest 1000?
-4000
Let i = 1 - 1.0028. What is i rounded to 3 decimal places?
-0.003
Let x = -357 + -20. Let p = -382.935 - x. Let u = 6 + p. What is u rounded to 2 dps?
0.07
Let s = 72.65 + 3.55. What is s rounded to the nearest ten?
80
Let c = -1.47 - -12.77. Let t = c + -9. Let j = t + -2.29979. What is j rounded to four decimal places?
0.0002
Let a = 1909.086 + -1904. Let v = a - 5. What is v rounded to two decimal places?
0.09
Let j = -0.01779502 - -5787804.01779502. Let a = j - 5787803.3199923. Let l = a + -0.68. Round l to 6 dps.
0.000008
Suppose 5*r + 5 = 0, -5*i + 2*r = -86 - 86. Suppose 5*b + 14 = i. Suppose -5*v - 68 = 3*g - 263, -b*g + 4*v + 228 = 0. Round g to the nearest ten.
60
Let m(a) = -4 - 13667*a - 3 + 0 + 6. Let q be m(-3). Round q to the nearest 10000.
40000
Let u = 0.03 + 5.37. What is u rounded to the nearest integer?
5
Let t = -8.1 + 8.71. Let r = t + -0.6. Let p = r - 0.0164. Round p to 3 dps.
-0.006
Let c = 614625 + -869625. What is c rounded to the nearest ten thousand?
-260000
Let l = 4.88 - 5.7. What is l rounded to one dp?
-0.8
Let o = -2 - -0.8. Let n = 1.6 + o. What is n rounded to one decimal place?
0.4
Suppose -5*g - 63830 = 311170. What is g rounded to the nearest ten thousand?
-80000
Suppose -3*i - 10 = -k, -4*i + i - 3*k = 18. Let p = -8 - i. Let m be 74000/(p - -2)*-100. What is m rounded to the nearest 1000000?
4000000
Let k be -7 + 29832 + 0 + 0. Let a = k + -825. What is a rounded to the nearest ten thousand?
30000
Let r = -0.07 - 0.21. Let l = 272.986 - 272.706013. Let g = r + l. Round g to five decimal places.
-0.00001
Let y = -8405.8 - -8398.80055. Let x = 7 + y. Round x to four decimal places.
0.0006
Let a(x) = -2*x**2 + 2. Let v be a(-2). Let f be (-3)/(v/(-2))*-3. Suppose 6 = 3*i - i, k + f*i - 45009 = 0. What is k rounded to the nearest ten thousand?
50000
Let o = 0.42 + 0.18. Let q = 0.12141984 + 0.47858046. Let s = q - o. What is s rounded to seven decimal places?
0.0000003
Suppose -5*c = -v - 4, 0 = 5*v + 5*c + 18 + 2. Let p be v/18 - (-68)/(-18). Let s be 8/p - 1*37. What is s rounded to the nearest ten?
-40
Let y = 1.03 + -1.071. Let d = 0.040934 + y. What is d rounded to five decimal places?
-0.00007
Let s(g) = 3*g**2 + g - 7192*g**3 - 4*g + 18 + 2*g**2. Let j be s(13). What is j rounded to the nearest one million?
-16000000
Let o = 41.6 - 58. Let x = 52.6 - o. Let z = -68.934 + x. What is z rounded to two dps?
0.07
Let r = 1.999 + -2. Round r to two dps.
0
Let c(b) = -3*b**2 + 20*b - 16. Let w be c(12). What is w rounded to the nearest ten?
-210
Suppose 7998 = 11*m - 16972. What is m rounded to the nearest one hundred?
2300
Let d(r) = -r**3 + 4*r**2 + 2*r + 8. Let z be d(6). What is z rounded to the nearest 10?
-50
Let w = 0.16300067 + -0.163. What is w rounded to seven decimal places?
0.0000007
Let h = -0.01 - 0.19. Let f = h - -0.21. Round f to three decimal places.
0.01
Suppose -3*j - y + 3*y = -17454, 5*j - 29094 = 2*y. What is j rounded to the nearest 100?
5800
Let o = -0.0085 - -8.8485. Let c = 9 - o. Let u = c - -0.04. Round u to the nearest integer.
0
Let r = 0.2 + -0.185. Let w = 0.069 + r. What is w rounded to two decimal places?
0.08
Let s = 0.05 + -0.45. Let n = -0.6 - s. Let u = n + -0.28. Round u | {
"pile_set_name": "DM Mathematics"
} |
places?
-0.003
Let i = -3070345.0318 + 3070632. Let o = -286.874 + -0.126. Let z = o + i. What is z rounded to three dps?
-0.032
Let j(u) = -4*u + 24. Let z be j(6). Suppose 413887 - 21891 = -4*v - 2*n, 4*v - n + 392002 = z. Round v to the nearest 100000.
-100000
Let u = -1334.68 - -1530.1. What is u rounded to the nearest one hundred?
200
Let n(x) = -x**2 - 11*x - 12. Let d be n(-9). Suppose 0*b = 4*b - 2*f + 6, 2*b + 2*f = d. Let v be 354 + 4 + (b - 3). What is v rounded to the nearest 100?
400
Let k(v) = 220964220*v**2 - 5*v - 4. Let u be k(-1). Suppose 0 = 3*b - u - 9004406. Let i = b + -54656209. What is i rounded to the nearest one million?
22000000
Let c = -60976328.67900493 + 60976329. Let l = 0.321 - c. Round l to seven decimal places.
0.0000049
Let v = -15 - -14.981. Let i = v - 0.225. Round i to 2 decimal places.
-0.24
Let u = 6.776074 + -6.766. What is u rounded to 3 decimal places?
0.01
Let r = 21826592 - 8060592. Round r to the nearest one million.
14000000
Let n(d) = -2245*d + 10. Let f be (2 - 24/9)/((-6)/(-18)). Let h be n(f). Round h to the nearest 100.
4500
Let o = -1234.724 + -1.476. Round o to the nearest one hundred.
-1200
Let k(l) = -7*l - 942897. Let w be k(0). Let g be (-5)/((-10)/(-8)) + (w - 1). Let r = -1827902 - g. What is r rounded to the nearest 100000?
-900000
Let r = 104.5331 + 0.4669. Let i = 1098794.95999496 - 1098899.96. Let w = i + r. Round w to six dps.
-0.000005
Let r = 428 - 427. Let g be 3745 - (0 - 5)/r. What is g rounded to the nearest one thousand?
4000
Let m(v) be the first derivative of -5*v**2 - 4330000*v - 38. Let k be m(0). What is k rounded to the nearest 100000?
-4300000
Suppose -72855001 = 13*y - 10*y + n, -5*n - 5 = 0. Round y to the nearest 100000.
-24300000
Let l = -1.69378 + -74.05322. Let v = 24.218 - l. Let a = 100 - v. What is a rounded to two dps?
0.04
Let b = 57 - 54. Suppose 0 = b*g + 2*q + 2, -4*q - 1 - 3 = 2*g. Suppose -10*d + 9*d - 29200 = g. What is d rounded to the nearest ten thousand?
-30000
Let p = 5214.8131 + -1.7131. Round p to the nearest 1000.
5000
Suppose 7*r + 42 + 14 = 0. Let y = r - -2. Let k be 5 + y - (0 - -45999). What is k rounded to the nearest 10000?
-50000
Let f(a) = -252083*a**2 + a - 36. Suppose 5 = 4*b - 15, 2*u - 5*b = -3. Suppose -5*k = -u*k - 72. Let w be f(k). Round w to the nearest one million.
-36000000
Let n = 421.3 - 393. Let l = n - 28.2353. What is l rounded to 2 decimal places?
0.06
Let q = -378 - 1110. Let d = -1488.0000723 - q. Round d to six dps.
-0.000072
Let z = 7972.8454 + 1.1546. Let j = -7931.19 + z. What is j rounded to 0 dps?
43
Let c = -28069 - -28069.000032538. What is c rounded to 7 decimal places?
0.0000325
Let j = -92.9985 + 1.0585. Let a = -94 - j. Let u = 0.24 - a. What is u rounded to the nearest integer?
2
Let a = -10317.854241 + 3.237241. Let c = 10315.4770086 + a. Let n = -0.86 + c. What is n rounded to 6 dps?
0.000009
Let d = -343.65814 - 0.04186. Let w = 344.32232 + d. Let y = -0.62 + w. Round y to 4 dps.
0.0023
Suppose -194*q + 192*q + 30768000 = 0. Suppose -19*h = -11*h - q. What is h rounded to the nearest 100000?
1900000
Let m = -15937.314 - -15951. Let k = -19.46 + 5.46. Let w = k + m. What is w rounded to 2 decimal places?
-0.31
Let x(m) be the third derivative of -550*m**5 + 5*m**4/24 + 5*m**3/6 + 72*m**2. Let b be x(-1). What is b rounded to the nearest 10000?
-30000
Let n = 165.32 + -170. Let h = -2.87 - -2.09. Let z = n - h. Round z to zero decimal places.
-4
Let p = 12.137967583 + -12.138. Round p to seven decimal places.
-0.0000324
Let v = -589.599995 + 589.75. Let s = 315 + -314.85. Let u = v - s. What is u rounded to 5 dps?
0.00001
Let z = 10905 + -10885.672. What is z rounded to 0 dps?
19
Let u = 44.5519 + -42.543. Round u to one dp.
2
Let j(q) = 300*q**3 - 6*q**2 - 9*q - 3. Let g = 259 - 272. Let d be j(g). Round d to the nearest one hundred thousand.
-700000
Let q = -0.3104556 - -0.30136. What is q rounded to four decimal places?
-0.0091
Let q = -11457 + 11457.0000000206. What is q rounded to 7 dps?
0
Let g = 0.094 - 45.094. Let b = g - -44.943. Let p = b + 0.056949. Round p to five dps.
-0.00005
Let z = 1132 + -688. Let t be (z/10)/((-34)/(-10) - 3). Let g be (-1813)/t*(-1)/(2/(-240000)). What is g rounded to the nearest 100000?
-2000000
Suppose 0 = 3*n - 4*a - 140, -a = -11 + 10. Suppose 5*l + 27 + 3 = 0. Let s be n/(3*l/(-5625)). Round s to the nearest 1000.
15000
Let k = 0.61 - 2.01. Let n = 1.4000047 + k. Round n to five decimal places.
0
Let m = 12130.155 + -11806.1549284. Let w = m - 324. What is w rounded to five dps?
0.00007
Let f = 2412.352 - 2414. What is f rounded to 1 dp?
-1.6
Let x(r) = -3*r**2 - 16*r - 1. Let s be x(-5). Suppose -3*h - 4*k = -20910016, -s*h - h + 34849980 = -5*k. Round h to the nearest one million.
7000000
Let w = 210026 + 41301. Suppose -w = 30*d + 593173. Round d to the nearest one thousand.
-28000
Let k = 39474.00077156 - 39474. What is k rounded to 5 decimal places?
0.00077
Let s(g) = 10*g - 60 - 57 - 59 - 16*g**2 + 4*g + 232. Let d be s(-8). Round d to the nearest 100.
-1100
Let i(n) be the second derivative of 25835*n**4/3 + 14*n**3/3 + 8*n**2 - 30*n + 2. Let y be i(8). Round y to the nearest one hundred thousand.
6600000
Let d = 2.012 - 2.0120006804. What is d rounded to 7 dps?
-0.0000007
Let x = -562 - -562.0421. Let j = x + -0.0855. What is j rounded to three decimal places?
-0.043
Let x = 2539 - 1787. Let h = -751.99298 + x. What is h rounded to three decimal places?
0.007
Let c = -36.613 + 36.3. Let u = 0.091 - c. Round u to two dps.
0.4
Let t = -0.053 - 79.947. Let y = 80.357 + t. Round y to one decimal place.
0.4
Let b be (-58)/(-6) + 6/18. Let r be (-152900004)/b - (-120)/300. Round r to the nearest one million.
-15000000
Let z = 263697 - 290980.2. What is z rounded to the nearest one hundred?
-27300
Let g = 13654 - 13654.000948. Round g to 4 decimal places.
-0.0009
Let o = -142.47 - -142. Let m = -0.0900809 - 0.3799501. Let a = o - m. Round a to 5 decimal places.
0.00003
Let p = 966 + -965.994155. Round p to 3 dps.
0.006
Let d = -973274 + 2121924. What is d rounded to the nearest 1000?
1149000
Let i = 844403 - 471883. Suppose i = -s + 3*s. Let r = -161740 - s. What is r rounded to the nearest 10000?
-350000
Let w = 175.162344 + -64.161572. Let h = -156 - -45. Let z = w + h. Round z to four decimal places.
0.0008
Let s = -1.79228 - -2.4632. Let k = -0.674 + s. What is k rounded to three decimal places?
-0.003
Let u = -0.59 + 0.27. Let x = 0.27 + u. Let c = -0.59 - x. What is c rounded to 1 decimal place?
-0.5
Let m = -0.08888 + 0.2719. What is m rounded to two decimal places?
0.18
Let m = 6670 - 6669.91578. What is m rounded to three decimal places?
0.084
Let z = -0.01277 + -116.16723. Round z to the nearest 100.
-100
Let o = -159.26 + 115.8. Let h = 35.9 + o. What is h rounded to the nearest integer?
-8
Let f = 77.55 + -77.5501074. What is f rounded to 5 dps?
-0.00011
Let g = 17404.696 - 17407. Let h = -1.95 + -0.05. Let f = g - h. Round f to one decimal place.
-0.3
Let c = -59983.241 - -60386. Let s = c + -402. Round s to two dps.
0.76
Let x = 25494.9898 + -25493. What is x rounded to 1 dp?
2
Let p(f) = -19*f**2 - 35*f - 6514. Let u be p(-83). Round u to the nearest 100000.
-100000
Suppose 2*y + 15 = 19. Suppose 0 = -y*d + 3*s + 84, 76 = 3*d - 2*s - 50. What is d rounded to the nearest ten?
40
Let b = -460 - -252. Let c = 208.0000179 + b. What is c rounded to 6 decimal places?
0.000018
Let y = 10884511022 - 10884511059.377508022. Let u = y + 6.377508092. Let f = 31 + u. What is f rounded to seven dps?
0.0000001
Let y = -0.0079 + 0.0817. Let n = -0.07379266 + y. What is n rounded to 7 decimal places?
0.0000073
Let u = 28.76 + 0.24. Let y = u + 48. Let v = -76.9703 + y. What is v rounded to 3 dps?
0.03
Let m = 3061.8 + -2821.91. Let g = -3.89 + m. Let k = 235.999817 - g. Round k to five decimal places.
-0.00018
Let o = -4809.8 - -5252. Let g = -399 + o. Round g to 0 decimal places.
43
Let j = -62.7 - -412.7. Let x = 350.0000221 - j. Round x to six dps.
0.000022
Let z = -774.52 - 4.48. Let f = z + 779.0000351. What is f rounded to six decimal places?
0.000035
Suppose 45*w - 46*w = -o + 6334, -2*o = 2*w + 12692. Round w to the nearest ten thousand.
-10000
Su | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of -56862*v**5 + v**3 - 36*v - 124 wrt v.
-1137240*v**3 + 6*v
What is the third derivative of 25497*c**6 - 64*c**4 - 3823862*c**2 wrt c?
3059640*c**3 - 1536*c
Find the first derivative of -v**3 + 10*v**2 - 54975*v + 463219 wrt v.
-3*v**2 + 20*v - 54975
Differentiate 109681*i + 827096 wrt i.
109681
Find the second derivative of -3319*l**2*m**2 + 23009*l**2*m - 15*l**2 - 41*l*m**2 wrt m.
-6638*l**2 - 82*l
What is the third derivative of 23*f**3*w**3 + 1022*f**3*w**2 + 6*f**3*w + 6*f**2*w**2 + 33215*f*w**3 - 2*f*w**2 wrt w?
138*f**3 + 199290*f
Find the third derivative of -3711907*h**6 + 4*h**2 + 1872*h - 51 wrt h.
-445428840*h**3
What is the second derivative of 175*c**3*y**2 - 118*c**3 - 5*c**2*y**2 + 445*c*y**2 + c*y - 19*y**2 wrt c?
1050*c*y**2 - 708*c - 10*y**2
Find the third derivative of 1222158*g**3 + 1498150*g**2.
7332948
What is the derivative of -66510*j + 8218 wrt j?
-66510
Find the first derivative of 2939*i*x**2 + 14*i*x - 2*i + 1271437*x**2 wrt i.
2939*x**2 + 14*x - 2
Find the third derivative of -1409*c**5 + 15*c**4 + 88*c**2 - 310 wrt c.
-84540*c**2 + 360*c
What is the second derivative of 171822*j**2 + 8546*j + 20?
343644
Find the third derivative of -4*c**5 + 2*c**4 + 271*c**3 + 2*c**2 - 6594.
-240*c**2 + 48*c + 1626
What is the third derivative of 3661430*a**5 + 2075693*a**2?
219685800*a**2
Find the second derivative of 410221*p**2 - 6030*p - 18 wrt p.
820442
Find the first derivative of -661*c**3*i**2 - 1161*c*i + 117712*i**2 wrt c.
-1983*c**2*i**2 - 1161*i
What is the first derivative of -a*i**3 + 8*a*i**2 - 2863*a*i + 1099*i**3 + 2*i - 4 wrt a?
-i**3 + 8*i**2 - 2863*i
What is the third derivative of 4*x**6 - 3566*x**5 + x**4 - 91253*x**2 wrt x?
480*x**3 - 213960*x**2 + 24*x
Find the third derivative of -570*q**3*v**3*y - 6*q**3 - 6*q**2*v**3*y + 3*q*v**2 + 5*q*y - 34*v**3 - 949*v**2 wrt v.
-3420*q**3*y - 36*q**2*y - 204
What is the derivative of 179*f*p**2*q**3*w + 642*f*p + f*q*w - p**2*q**3*w + 515899*q**2*w wrt f?
179*p**2*q**3*w + 642*p + q*w
Find the second derivative of -42426*s**4 - 5318*s wrt s.
-509112*s**2
Differentiate 11*c*o**2*x + 1772*c*o*x + c*o - c + 8*o**2 - 49 with respect to x.
11*c*o**2 + 1772*c*o
Find the third derivative of 1625*d**6*s - 14*d**3*s + 1109*d**2*s - 2*d**2 + 2 wrt d.
195000*d**3*s - 84*s
Find the second derivative of -7*d**4 + 2414*d**2 - 74057*d wrt d.
-84*d**2 + 4828
What is the third derivative of 12997*b**5*t**3 + 7*b**4*t**3 + 13*b**2*t**3 - 10511*b**2*t**2 wrt b?
779820*b**2*t**3 + 168*b*t**3
What is the second derivative of a*n**2*y**3 + 5*a*n*y**3 - 2*a*n*y**2 + 2*a*n*y + 27*n**2*y**3 - 33*n**2 - 4068*y**3 - 2*y wrt n?
2*a*y**3 + 54*y**3 - 66
Differentiate 67*h*j*s*v - 2*h*j*s + h*s**2*v + 687*h*s - 18*j*s**2 + 7314*j*v + s*v wrt v.
67*h*j*s + h*s**2 + 7314*j + s
Differentiate 1363037*t**3 + 173669 wrt t.
4089111*t**2
Differentiate 2244*g**3 + 2*g**2 + 44*g - 314801.
6732*g**2 + 4*g + 44
Find the third derivative of 614060*k**3 - 424*k**2 - 2*k - 15.
3684360
Differentiate 43516*t + 129815.
43516
What is the second derivative of -2*j*x**3 + 270*j*x**2 + 225*j*x + 47*j + 568*x**3 + x - 2 wrt x?
-12*j*x + 540*j + 3408*x
What is the derivative of 2330*j**4 + 6*j**2 - 12969 wrt j?
9320*j**3 + 12*j
What is the second derivative of 61735*l**4 + 101*l + 32 wrt l?
740820*l**2
Find the third derivative of 34381*h*j**5 + 3*h + 3*j**5 - 8857*j**2 wrt j.
2062860*h*j**2 + 180*j**2
Find the first derivative of -40867*n - 179787.
-40867
Find the second derivative of 2*c**4 - 18807*c**3 + 5*c**2 + 152*c + 269.
24*c**2 - 112842*c + 10
What is the second derivative of -892*p**3 - 133*p**2 - 16*p + 6408?
-5352*p - 266
What is the derivative of 2*s**4 - 78*s**3 - 36*s**2 + 56174?
8*s**3 - 234*s**2 - 72*s
What is the second derivative of -4*p*s**2*t + 2*p*s*t**2 - 6*p*s + 43*p*t**2 - 26*p*t + p + 2*s**2*t**2 - 11*t wrt t?
4*p*s + 86*p + 4*s**2
Find the third derivative of -i*p**3 + 2809*i*p**2 - p**4 - 226*p**3 + 46 wrt p.
-6*i - 24*p - 1356
Find the third derivative of 15990*g**2*w**5 - 2*g**2*w**2 + 2*g**2*w + g*w**3 - 196*g*w**2 - w**2 wrt w.
959400*g**2*w**2 + 6*g
What is the second derivative of -1407*h**2*l**3*v - 81*h**2*l**2*v - 2*h*l**3*v + 5*h*l**2 - 325*h*v + l**3 + 1 wrt h?
-2814*l**3*v - 162*l**2*v
Find the third derivative of 434727*k*x**3 + 13*k*x**2 + 648*k*x wrt x.
2608362*k
Differentiate -78*b*p**3*w - b*p**3 - 38*b*p**2 + 10*b*p*v + 2*b*p*w + 2*b*w - 28*p**3*v*w - 19*p*v*w with respect to v.
10*b*p - 28*p**3*w - 19*p*w
Find the third derivative of -9102*a**5 - 10*a**2 + 291*a - 2 wrt a.
-546120*a**2
What is the first derivative of -757550*z + 500728 wrt z?
-757550
What is the derivative of 73*f**2 - 371*f - 11525?
146*f - 371
What is the third derivative of 183062*k**3*x**3 + 2*k**3*x**2 + 45058*k**3 - k**2*x**2 + k*x wrt x?
1098372*k**3
Find the third derivative of -2*j*m**3 + 13*j*m**2*t**2 + 3*j*m**2*t + 2*j*m*t + 157*j*m - 3*j - 11*m**3*t**2 + 12*m**3*t + 114*m**3 wrt m.
-12*j - 66*t**2 + 72*t + 684
What is the second derivative of -4*a**2*j*y - 459*a**2*y**2 - 2*a*j*y + 53*a*y - 94*j*y**2 - j*y + 4*j wrt y?
-918*a**2 - 188*j
Find the third derivative of -887*s**4 - 6*s**3 + 21*s**2 - 449*s.
-21288*s - 36
Differentiate 493*a**3*u**2 + 36*a**3 + a + 8746*u**2 - 30*u with respect to a.
1479*a**2*u**2 + 108*a**2 + 1
What is the third derivative of -382907*n**3 - 706*n**2 - n - 375?
-2297442
Find the third derivative of 5*s**6 + 31*s**5 + 322*s**3 + 18*s**2 - 3*s + 100.
600*s**3 + 1860*s**2 + 1932
What is the third derivative of -6*l**6*v + 1919*l**4 - l**3*v**2 + 2*l**2*v**2 - 182295*l**2*v wrt l?
-720*l**3*v + 46056*l - 6*v**2
What is the second derivative of -3987686*r**3 - 1562631*r?
-23926116*r
Find the third derivative of 123157*s**3*z**2 - 2*s**2*z - 57*s**2 - 133*s*z**2 wrt s.
738942*z**2
Differentiate 1031*c**3*u**3 + 72695*c**3 - 20*u**4 wrt u.
3093*c**3*u**2 - 80*u**3
What is the second derivative of -21*a*n**2*u - 31462*a*n**2 - 3*a*u + 856*a - 68*n*u wrt n?
-42*a*u - 62924*a
What is the second derivative of -54551*r**3 - 232326*r wrt r?
-327306*r
Find the first derivative of 1176610*f + 59772.
1176610
What is the third derivative of -3*c**4 - 2296*c**3 - 216516*c**2 wrt c?
-72*c - 13776
What is the second derivative of 1932*x**5*y - 11*x**3*y + x**2*y - 1024*x*y + x + 112 wrt x?
38640*x**3*y - 66*x*y + 2*y
What is the derivative of -130*n**3 - 6*n**2 + 268*n + 20015?
-390*n**2 - 12*n + 268
What is the third derivative of 27308*z**6 + 9*z**2 - 129331 wrt z?
3276960*z**3
What is the first derivative of 511*n*s - 2131*n + 2135920*s + 2 wrt n?
511*s - 2131
Find the second derivative of -938*o**3*r**2 + 584*o**3*r + 779*o*r - 744*r**5 - 1 wrt r.
-1876*o**3 - 14880*r**3
Find the second derivative of a**3*d**2 - 19*a**3*d + 2*a**3 - 21*a**2 + 3*a*d**2 + 300*a*d + a + 4*d**2 wrt a.
6*a*d**2 - 114*a*d + 12*a - 42
What is the second derivative of 69751*b**2 - 28426*b?
139502
Differentiate -3*a**3*l**3*m + 2286*a**3*l**3 + 7*a**2*l**3 - 2*a**2*l + 4*a*l - l**3*m + 2*l - 175458*m**2 wrt m.
-3*a**3*l**3 - l**3 - 350916*m
Differentiate 4*r**2*z**3 + r**2 + 633*r - 72*z**3 + 5*z**2 - 2 wrt r.
8*r*z**3 + 2*r + 633
What is the derivative of -231844*c**4 - 46435?
-927376*c**3
What is the second derivative of -927*d**3*y**2 + 633660*d**3*y - d**3 - 484*d*y**2 - d + y**2 + y wrt y?
-1854*d**3 - 968*d + 2
Find the third derivative of -87776*f**3*t**2 - 110*f**2*t**2 + 54*f**2*t + 2*t wrt f.
-526656*t**2
Differentiate 713*o*p - 20160*o + 12*p - 4 wrt p.
713*o + 12
What is the second derivative of 132354*p**3 + 2706*p - 2?
794124*p
What is the second derivative of -330199*m**2*y + 86*m*y + 412*m wrt m?
-660398*y
Find the second derivative of -1434265*n**3*t**2 - 3*n**3 - 10*n**2 - 11*n*t + 55*n + 3 wrt t.
-2868530*n**3
Find the second derivative of 2462233*m**3 + 3441754*m wrt m.
14773398*m
What is the second derivative of -3*f**2*w**2 + 3*f**2*w + 4*f**2 - 377456*f*l*w**2 + 4182*f*l*w + f*l - 2*l*w wrt w?
-6*f**2 - 754912*f*l
What is the first derivative of 48447*q**2 - 6*q - 1113681 wrt q?
96894*q - 6
Find the second derivative of -740090*q**3 + 180170*q + 3.
-4440540*q
Differentiate 43874*k*o - 182493*k + o wrt o.
43874*k + 1
What is the third derivative of 179080*o**3*y | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of y(-17)?
9
Let r = 6 + -10. Let a(m) = -m**3 - 3*m**2 + 6*m + 3. Let z be a(r). What is the units digit of (-8)/20 - 112/z?
2
Suppose -3*m + 1598 = -a, 0 = -20*a + 15*a + 5. What is the hundreds digit of m?
5
Suppose -4*v - y - 36 = 17, -v = y + 14. Let b(c) be the first derivative of c**2/2 + 14*c - 1. What is the units digit of b(v)?
1
Let j be (3/3)/((-1)/(-2)). Let d(p) = p. Let a be d(j). Suppose 0 = a*h - 5*h + 99. What is the tens digit of h?
3
Let c = 9535 + -4409. What is the tens digit of c?
2
Let l(r) = -r**2 + 5*r + 3. Let w be l(0). Suppose x = -k + 168, -2*k + w*x + 534 = k. What is the units digit of k?
3
Let p = -34 + 39. Let d = 9 + -7. Suppose -i = 2*y - d*i - 11, -i - 32 = -p*y. What is the units digit of y?
7
Let l = 38 - -89. Suppose 11 - l = -4*v. Suppose 11 = 5*r - v. What is the units digit of r?
8
Let x = -7 - -5. Let a = x - 23. Let j = 39 + a. What is the tens digit of j?
1
Let a(j) be the third derivative of -29*j**5/120 + j**4/24 - 2*j**3/3 + 3*j**2. Let b(p) be the first derivative of a(p). What is the units digit of b(-1)?
0
Let q(m) = 17*m + 1. Let s(f) = f + 1. Let u be s(4). Suppose 7 = p + 3*t, -2*p - 2*t + 1 = -u. What is the tens digit of q(p)?
1
Let m(n) = n**2 - 10*n + 2. Let r(g) = g**3 + 6*g**2 - 2*g - 3. Let h be r(-6). Let i be m(h). Let j(x) = -x**2 - 10*x - 8. What is the units digit of j(i)?
3
Suppose -2*a + 2*p = -5*a + 5, -5*a + 3*p = -40. Let x(m) = 12*m + 16. What is the tens digit of x(a)?
7
Suppose 4*y - 4*u = 5*y - 736, 0 = -5*y + 4*u + 3800. What is the tens digit of y?
5
Let p = -36 + 40. What is the tens digit of (286 + 1)*p/14?
8
What is the hundreds digit of ((-2)/6)/((-4)/4236)?
3
Let h = 1919 + -913. What is the hundreds digit of h?
0
Let l(c) = -232*c + 1. Let b be l(1). Let o = -131 - b. Suppose y + 21 = 3*x - o, -3 = 3*y. What is the units digit of x?
0
Let j(i) = -3*i**3 + 38*i**2 - 6*i - 39. What is the tens digit of j(10)?
0
Suppose -45*k + 10341 + 40644 = 0. What is the thousands digit of k?
1
Suppose -3*o = -5*x + 10, 0 = -3*x + o + 10 - 0. Let j(p) be the third derivative of -p**6/120 + 7*p**5/60 + p**3/3 - 141*p**2. What is the tens digit of j(x)?
5
Let i be (-992)/10 - 72/90. Let w = i + 122. What is the tens digit of w?
2
Let x(r) = -4*r**2 - 38*r - 2. What is the tens digit of x(-7)?
6
Let g(k) = -2*k + 1 - 13*k**2 + 13*k**2 + 6*k**2 - 2. What is the tens digit of g(-2)?
2
Let u(i) = 19*i + 36. Let c be u(5). Let d = 8 + c. What is the units digit of d?
9
Let a = 743 - -2168. What is the units digit of a?
1
Let j = 351 + -198. What is the units digit of j?
3
Let t be (14 - (-2 - 0)) + 0. Let m be -11 + 13 - ((-3)/(-3) - 3). Let b = t - m. What is the tens digit of b?
1
Let j = 84 - 83. What is the units digit of ((-337)/(-3) - j)*9/6?
7
Let t(b) = -b + 30. Let a(v) = v**3 + 8*v**2 + 6*v + 1. Let y be a(-7). What is the tens digit of t(y)?
2
Let z(c) = -58*c**2 + 4 - 9 + 35*c**2 - 32*c + 29*c**2. What is the tens digit of z(7)?
6
Let w(h) = 7*h + 18. Let c be w(0). Suppose -c*g = -17*g - 93. What is the tens digit of g?
9
Let y(l) = -58*l - 1. What is the tens digit of y(-3)?
7
Suppose -3*m + 2*m + 5*w = 5, -w = 2*m - 45. What is the tens digit of 912/m - 12/(-30)?
4
Let s(i) = -i**3 - 16*i**2 + 7*i + 57. What is the tens digit of s(-19)?
0
Let s = 4626 + -1677. What is the tens digit of s?
4
Let x be 1/(-2) - 182/(-28). Let d = x + -5. What is the units digit of d?
1
Let b be -3*(-3 - 14/(-6)). Suppose -2*q = -0*m - b*m + 114, -4*m - 2*q = -198. What is the tens digit of m?
5
Let f be (-7)/(21/(-9)) - -22. Let k = f + -6. What is the tens digit of k?
1
Suppose 0 = 4*t + 2*h - 2942, 2*t + 31 - 1496 = 5*h. What is the tens digit of t?
3
Let r = -47 + 49. What is the tens digit of 0 + (-3 + r - -64)?
6
Let g = 566 - 37. What is the units digit of g?
9
Let k(a) = -3*a**2 - 25*a - 12. Let w be k(-14). Let n = w + 379. What is the hundreds digit of n?
1
Suppose 274 = 5*g - 81. Suppose -g = -y - 4*b, b + 6 = 3*b. What is the units digit of y?
9
Suppose 5*c = 11*k - 9*k + 1685, -c - 3*k + 337 = 0. What is the hundreds digit of c?
3
Let o be (-8)/(-32) + 78/8. Let r(a) = 6*a**2 + 0*a + a**3 - o*a - 10 + a**2. What is the units digit of r(-8)?
6
Let j = 400 + -250. What is the units digit of j?
0
Suppose 2*a + 2*s - 1070 = 0, -2170 = -4*a - 14*s + 16*s. What is the units digit of a?
0
Let u be 0 + 21*((-16)/(-12))/(-1). Let p(z) = -z**2 - 33*z - 6. What is the tens digit of p(u)?
3
Let j = 13 - -9. Suppose -6*p = -5*p - j. What is the tens digit of p?
2
What is the hundreds digit of ((-416)/3)/(15/(-45))?
4
Let z(u) = -u**3 + 9*u**2 - 2*u + 6. Let m be z(8). Suppose 3*x + 3*x + m = 0. Let r = x - -12. What is the units digit of r?
3
Let r = 2241 + -836. What is the tens digit of r?
0
Let c = 58 + -46. Suppose -c*k + 8*k = -292. What is the tens digit of k?
7
Let u = 29 + 30. Let n = 103 - u. Let t = -22 + n. What is the units digit of t?
2
Let s = 1021 - 24. What is the units digit of s?
7
Suppose -5*m - 5*k = -2*m - 13, -m + 3*k = -9. Suppose -v - 3*v - r + m = 0, 4*v = 3*r + 14. Suppose v*g - 6*g = -56. What is the units digit of g?
4
What is the thousands digit of (6321 - 1) + 6*(6 + -7)?
6
Let q = 62 - 38. Let a = 67 - -9. What is the units digit of a/14 - q/56?
5
What is the units digit of (7632/20)/((-21)/(-70))?
2
Let k(g) be the second derivative of g**4/12 + g**3/2 - 4*g. Let m be k(-4). Suppose -m*v = -14 - 2. What is the units digit of v?
4
Let c = -32 - -58. Let s = 20 - c. Let w(n) = n**2 - n + 8. What is the units digit of w(s)?
0
Let u be -1 - 0 - (2 - -22). Suppose c = 2*x + 3*x - 46, 4*c + 159 = -5*x. Let a = u - c. What is the units digit of a?
6
What is the hundreds digit of (26 + 0)*(-771)/(-6)?
3
Suppose 3*r = -2*j + 4227 - 321, -3906 = -2*j - 5*r. What is the tens digit of j?
5
Let f = -74 + 70. What is the tens digit of -2 - (0 - 69) - f?
7
Let h(z) = -z**3 - 3*z - 2. Let i be h(-1). Suppose 270 = i*s - 24. What is the tens digit of 1*-1*s/(-3)?
4
Let z(v) = -3*v**2 + 33*v - 15. What is the tens digit of z(8)?
5
Let o(d) = d**3 + 17*d**2 - 18*d - 12. What is the hundreds digit of o(-15)?
7
Let l(w) be the third derivative of 3/8*w**4 + 0*w + 11/6*w**3 + 0 + 2*w**2. What is the units digit of l(5)?
6
Let x(t) = -82*t + 42*t - 3*t**2 + 35*t + 4*t**2. What is the units digit of x(-7)?
4
Let t(h) = 233*h - 15. What is the units digit of t(9)?
2
Suppose 643 = 7*r - 141. What is the hundreds digit of r?
1
What is the units digit of 200/(-60)*546/(-4)?
5
Suppose -t - 3*z + 8*z + 7 = 0, t - 13 = 2*z. Suppose -b - 2*l = -t, 3*b - 51 = -l + 15. What is the tens digit of b?
2
Let b(l) = -8*l**2 - 242*l - 34. What is the tens digit of b(-25)?
1
Let z be (-3 - -3)/(-3) + 4. Suppose 0*s = z*s - 108. What is the units digit of s?
7
What is the units digit of 85 - 30/(-1 + -4)?
1
Let f = 11 - 15. What is the units digit of (-4456)/(-36) - f - (-4)/18?
8
Suppose 12*w + 5*u = 11*w + 580, -5*w = u - 2828. What is the hundreds digit of w?
5
Let l be 32/10 - 6/30. Suppose -x + 2*v = 2, 8*x - 2*v = l*x - 2. Suppose x = 15*q - 11*q - 96. What is the tens digit of q?
2
Suppose 0 = -3*l + l, -5*w + 5*l = 5. Let x(s) be the second derivative of -23*s**3/6 + s**2/2 - 68*s. What is the units digit of x(w)?
4
Let v = 120 + -69. Let m = 166 - v. What is the tens digit of m?
1
Let z be (-2 + (-33)/6)*-2. Let w be z/(-9) - 2/(-3). What is the units digit of 48/9 + w/3?
5
Let z(b) = -59*b + 61. What is the units digit of z(-7)?
4
Let p be -44*(-12)/(-28)*-7. Suppose 2*m - 66 = p. What is the tens digit of m?
9
Suppose -3 = -3*g - 0. Let d be -35*(2 - 3)/g. Let l = -13 + d. What is the units digit of l?
2
Suppose -7*h + 114 = -5*h. Suppose c - h = g, -c + 0*g = 2*g - 57. What is the tens digit of c?
5
Let k(o) = -o**2 + 11*o + 31. Let j be k(13). Suppose -h + 4 = -n + j, 3 = n. What is the units digit of h?
2
Suppose 6*t = -66 + 258. Let b = -27 + t. What is the units digit of b?
5
Let d(a) = 2*a**2 - 10*a - 7. Let w be d(6). Suppose -w*v + 128 = -257. What is the units digit of v?
7
Suppose y + 5*d - 128 = 1559, -2*y - 2*d + 3350 = 0. What is the thousands digit of y?
1
Let l = -42 + 20. Let m = 28 + l. Suppose 414 = -0*i + m*i. What is the units digit of i?
9
Let c | {
"pile_set_name": "DM Mathematics"
} |
+ 59 + 83. What are the prime factors of c?
71
Suppose -4*x = -8*x + 648. Suppose -3*f + 3*t = -x, -f - f = -5*t - 96. What are the prime factors of f?
2, 29
Suppose 4*s + 2*w + 7 = -1, 5*s + 4*w + 4 = 0. Let d be 21 + -15 + s + 0. Suppose -78 = -3*k - 4*p + 76, k - 52 = -d*p. List the prime factors of k.
2, 5
Let l be -1*3/18 + 11/(-6). What are the prime factors of (1058/69)/(l/(-3))?
23
Let t = 672 + -140. Suppose 5*p - t = u + 253, 4*u + 20 = 0. Suppose -4*i = 2*h - 120, 5*h + i = p + 117. List the prime factors of h.
2, 3
Let l(h) = -13*h - 80. Let m(w) = -4*w - 27. Let o(v) = 4*l(v) - 14*m(v). List the prime factors of o(0).
2, 29
Let g(n) = n**2 - 8*n - 5. Let a = 19 + -10. Let u be g(a). What are the prime factors of ((-13)/2)/((-2)/u)?
13
Let r be (10*-10)/((-14)/28). Suppose -2*k = -0*k - r. Let l = 179 - k. List the prime factors of l.
79
List the prime factors of 535127/710 + (-6)/(-20).
2, 13, 29
Suppose 3*p + 9 = -3, -2*b = 2*p - 10. Suppose -24 + 303 = b*y. What are the prime factors of y?
31
Suppose 2*m + 5*g = 2740 + 5273, -20075 = -5*m - 4*g. What are the prime factors of m?
4019
Let i = -95 - -379. List the prime factors of i.
2, 71
Let c be 0 - (-46)/(-8) - 6/24. Let j = c - -89. What are the prime factors of j?
83
Let c(d) = 8*d**2 + 12*d - 44. What are the prime factors of c(-12)?
2, 241
Let j(o) = -o + 4. Let c be j(4). Suppose c = 5*p + 11 - 6. Let h = p - -18. List the prime factors of h.
17
Suppose -3*a + 4*c = c - 114, 2*a = 3*c + 81. Suppose 0 = k - 2*k + a. What are the prime factors of k?
3, 11
What are the prime factors of 4264 + (-18)/36*(2 + 0)?
3, 7, 29
Suppose -4*o + 6*o = -4*g + 1156, 0 = o - 2*g - 594. What are the prime factors of o?
2, 293
Suppose 3*p - 321 = -2*s + 8*p, -5*s + 762 = p. What are the prime factors of (-6)/s*-3 - 1322/(-34)?
3, 13
Let d be ((-4)/10)/(1/(-10)). Let r(i) be the third derivative of 5*i**4/24 + 4*i**2 + i. What are the prime factors of r(d)?
2, 5
Let n be (1/3)/((-2)/(-162)). Suppose 3*v + g - 88 = 0, -5*v = -4*v - 2*g - n. Suppose -v = -c - 3. What are the prime factors of c?
2, 13
Suppose -r - 13678 = -26*k + 21*k, 8204 = 3*k - 2*r. What are the prime factors of k?
2, 3, 19
Suppose -14*g = -43640 + 1234. What are the prime factors of g?
13, 233
What are the prime factors of 168/14 + 802 + (1 - 0)?
5, 163
Let u(b) = -20*b**2 - 37*b - 84. Let z(w) = 13*w**2 + 25*w + 56. Let h(c) = 5*u(c) + 8*z(c). What are the prime factors of h(-7)?
7, 17
Let x(w) = -7*w**2 - 6*w - 18. Let a be x(-4). List the prime factors of ((84/(-8))/7)/(3/a).
53
Suppose -526*b + 13752 = -514*b. What are the prime factors of b?
2, 3, 191
Let b = 47 - 39. List the prime factors of (65 + b)/((-1)/(-1) + 0).
73
Suppose 2*w + q = 2600, -451 = -w - 5*q + 831. List the prime factors of w.
2, 3, 7, 31
Let i = -66 + 68. Suppose 0 = -i*j, 0*j + 148 = m - 4*j. List the prime factors of m.
2, 37
Let s be 4/12 - 328/(-6). Let x = -41 + s. What are the prime factors of x?
2, 7
Let l(c) = 71*c - 36. What are the prime factors of l(27)?
3, 11, 19
What are the prime factors of 5 + (4/7)/((-46)/(-222502))?
3, 13, 71
Suppose 3*d = -1 + 19. Suppose 3*j - d*j - 5*s = -355, 4*s + 530 = 5*j. List the prime factors of j.
2, 5, 11
Let z(m) = -m**2 - 11*m. Let l(t) = t. Let u(a) = 4*l(a) + z(a). Let y be u(-7). Suppose -3*j + g = -53, 2*j + 3*g - 4*g - 34 = y. List the prime factors of j.
19
Suppose 3*q + 3 = 3*y + 9, -y + 2*q - 4 = 0. Suppose 4*t + 116 - 344 = y. What are the prime factors of t?
3, 19
Suppose 2*o + 49 = -79. Let l = -27 - o. List the prime factors of l.
37
Let n = -65 - -22. Let a = n + 162. What are the prime factors of a?
7, 17
What are the prime factors of ((-10)/(-4))/(10/(-5400)*-3)?
2, 3, 5
Suppose 4*g - 19 = -3. Suppose 0 = -3*z - 4*h + 737, -h = 2 - g. Suppose 5*f - 22 - z = 0. What are the prime factors of f?
53
Suppose -26 = -2*s + g - 85, 0 = s - 5*g + 7. List the prime factors of ((-13)/4)/(4/s).
2, 13
Let h(z) = 42*z + 87. What are the prime factors of h(14)?
3, 5
Let y = -103 + 260. Let m = -108 + y. List the prime factors of m.
7
List the prime factors of (22 - 21)*(3285 + 2).
19, 173
Suppose 4*s - 4*a + 19 + 37 = 0, 68 = -4*s - 2*a. Let f be (s/3)/((-2)/36). Suppose 4*j - 2*j - f = 0. List the prime factors of j.
2, 3
Suppose -3*n = 2*u - 1024, -820 = -3*u + 4*n + 716. What are the prime factors of u?
2
Let f = -1633 + 2286. List the prime factors of f.
653
Suppose 88803 = -102*q + 135*q. List the prime factors of q.
3, 13, 23
Suppose -31*r + 1628 = -27*r. What are the prime factors of r?
11, 37
Suppose -5*r = 2*o - 1064, 0 = -9*o + 4*o - 2*r + 2681. Suppose 6*f - 15 - o = 0. List the prime factors of f.
2, 23
Let k = 2490 + -1346. List the prime factors of k.
2, 11, 13
List the prime factors of (381 - (-20)/4) + -1.
5, 7, 11
Let l(d) = d**3 + 11*d**2 - 10*d + 13. Suppose -67*g - 11 = -66*g. List the prime factors of l(g).
3, 41
Let p be ((-1452)/110)/(6/(-40)). Suppose -a - p = -3*a. List the prime factors of a.
2, 11
Suppose 4*q = -5*q + 36. Suppose -3*j - q = -5*j. List the prime factors of j.
2
Suppose -18*x + 23299 = -21179. List the prime factors of x.
7, 353
Let n(i) = -i**3 + 57*i**2 - 54*i + 30. List the prime factors of n(55).
2, 5, 311
Suppose 2*s = -2*n - 6, 0*s - 2*n + 3 = -s. Let f(x) = x**3 + 8*x**2 + 5*x + 2. Let r be f(s). Let g = -12 + r. What are the prime factors of g?
2, 5
Suppose 0 = -d - 0*d - 3. Let s be 108 + (-2)/((-2)/d). Suppose 0 = b + 2*b - s. What are the prime factors of b?
5, 7
Let j(p) = -2*p - 25. Let u be j(-11). List the prime factors of (-2)/u + (3 - (-147)/9).
2, 5
Let d = 4 - -10. Let z be 8/(-20)*(-1 - d). What are the prime factors of (3/(-2))/(z/(-16))?
2
Suppose -4*q = 5*k - 2717, k - 5*q + 2715 = 6*k. What are the prime factors of k?
5, 109
Let s be (1/2)/((-6)/(-36)). Suppose -s*i = -i + 14. List the prime factors of (4/3)/(i/(-63)).
2, 3
Suppose -8*u + 7 - 39 = 0. What are the prime factors of (-2)/u - 531/(-18)?
2, 3, 5
Suppose -6*m + 7*m = 0. Suppose 0*j + 2*j + 10 = m. Let d(n) = n**2 - n + 8. What are the prime factors of d(j)?
2, 19
Suppose -21*o + 48*o - 95202 = 0. List the prime factors of o.
2, 41, 43
Suppose -2*m + 8 = 0, m = -5*i - 4*m. List the prime factors of (-78)/(-9)*(-18)/i.
3, 13
Suppose 0*a = -3*i + a + 2, -3*a - 6 = 4*i. Suppose -6*g + 16 - 4 = 0. Suppose -g*z + i*z = -48. What are the prime factors of z?
2, 3
Suppose 126*c + 8908 = 130*c - 4*d, 6665 = 3*c + 5*d. List the prime factors of c.
5, 89
Let j(d) be the third derivative of 6*d**2 + 5/8*d**4 + 0 + 1/3*d**3 + 0*d. What are the prime factors of j(4)?
2, 31
Suppose -5*y - 4*c = -10938, 12*y + c = 8*y + 8757. Suppose -2*h = 13*h - y. What are the prime factors of h?
2, 73
Let a be (0 + 6)/(1*2). Suppose 0 = 3*d + a*q - 150 - 81, 281 = 4*d - 5*q. List the prime factors of d.
2, 37
Suppose 5*o = 0, -5*z + o = 6*o. Suppose 2*b - 63 - 89 = z. List the prime factors of b.
2, 19
List the prime factors of 1/(-8)*-6*(-484)/(-11).
3, 11
What are the prime factors of 20/130 + (-74757)/(-39)?
3, 71
Let f(j) = -6*j**2 + 11*j + 24. Let w be f(-6). Let d = -107 - w. What are the prime factors of d?
151
Let v(h) = -h**3 + 9*h**2 - 4*h + 7. Let i be v(8). Let m = 84 - i. List the prime factors of m.
3, 5
Let c be -2*(-1 + 2) + 81. Let p = -40 + c. List the prime factors of p.
3, 13
Let h(q) = q**2 + 11*q - 9. Let j be h(-9). Let k = -22 - j. Suppose -a = -k*a + 232. What are the prime factors of a?
2, 29
Let j = 25 - 25. Suppose 0 = -s - j*s + 23. List the prime factors of s.
23
Suppose 5*z - 3*z - 8 = 0. Let k be ((-18)/(-12))/(2/z). Suppose k*p + 244 = 7*p. What are the prime factors of p?
61
Let o(n) = -n**2 - 14*n + 823. List the prime factors of o(0).
823
Let v be 5/(5/9)*1. List the prime factors of (1 - -44) + -9 + v.
3, 5
Let c(v) = 139*v**3 - 2*v**2 - 31*v + 80. List the prime factors of c(3).
2, 1861
Suppose 840 = -2*u + 4*u. Let f = u - 182. List the prime factors of f.
2, 7, 17
Suppose 10*j - 75 = 15*j. List the prime factors of (57/15)/((-3)/j).
19
Let x(j) = -j + 8. Let t be x(6). Suppose t*m = -2*v + 136, -m + 3*v = -38 - 26. Suppose -m = -2*f - h, -h = -2*f + 66 + 3. What are the prime factors of f?
2, 17
Suppose -5*a + 4*p + 35 = 0, 0 = -3*a - 2*p + 2 - 3. Let d(l) = l** | {
"pile_set_name": "DM Mathematics"
} |
1879
What are the prime factors of 800951?
29, 71, 389
What are the prime factors of 171301?
13, 13177
List the prime factors of 1847455.
5, 369491
What are the prime factors of 107536?
2, 11, 13, 47
List the prime factors of 797268.
2, 3, 29, 79
List the prime factors of 4044822.
2, 3, 389, 1733
What are the prime factors of 247360?
2, 5, 773
List the prime factors of 1831519.
107, 17117
What are the prime factors of 2127147?
3, 11, 73, 883
What are the prime factors of 104348?
2, 19, 1373
What are the prime factors of 618579?
3, 13, 17, 311
What are the prime factors of 917101?
917101
What are the prime factors of 129376?
2, 13, 311
List the prime factors of 182009.
182009
List the prime factors of 1091822.
2, 545911
List the prime factors of 946384.
2, 59149
List the prime factors of 2763869.
293, 9433
List the prime factors of 289342.
2, 144671
What are the prime factors of 548210?
2, 5, 13, 4217
What are the prime factors of 4444789?
4444789
What are the prime factors of 14199836?
2, 7, 507137
List the prime factors of 592009.
11, 53819
What are the prime factors of 4610914?
2, 7, 11, 79, 379
List the prime factors of 21837800.
2, 5, 137, 797
What are the prime factors of 249174?
2, 3, 109, 127
List the prime factors of 1359803.
1359803
What are the prime factors of 12593893?
13, 968761
What are the prime factors of 1321017?
3, 440339
What are the prime factors of 13719586?
2, 509, 13477
List the prime factors of 6351.
3, 29, 73
What are the prime factors of 582403?
17, 34259
List the prime factors of 4224712.
2, 359, 1471
List the prime factors of 2552354.
2, 7, 31, 5881
List the prime factors of 194715.
3, 5, 4327
List the prime factors of 14106758.
2, 7053379
List the prime factors of 8432352.
2, 3, 19, 23, 67
What are the prime factors of 1216?
2, 19
What are the prime factors of 11700476?
2, 2925119
List the prime factors of 2684843.
7, 383549
What are the prime factors of 2620109?
47, 107, 521
List the prime factors of 254933.
7, 79, 461
List the prime factors of 249422.
2, 311, 401
List the prime factors of 330765.
3, 5, 22051
List the prime factors of 192100.
2, 5, 17, 113
What are the prime factors of 13267761?
3, 13, 29, 11731
List the prime factors of 1029479.
11, 31, 3019
List the prime factors of 5468362.
2, 2734181
What are the prime factors of 114131?
61, 1871
What are the prime factors of 6354003?
3, 23, 71, 1297
List the prime factors of 22958.
2, 13, 883
List the prime factors of 1354.
2, 677
What are the prime factors of 1242700?
2, 5, 17, 43
List the prime factors of 4371982.
2, 29, 43, 1753
List the prime factors of 35586826.
2, 11, 307, 479
What are the prime factors of 306649?
7, 71, 617
List the prime factors of 10393106.
2, 5196553
What are the prime factors of 3237052?
2, 7, 13, 8893
What are the prime factors of 4790689?
1381, 3469
List the prime factors of 281653.
281653
List the prime factors of 21364.
2, 7, 109
What are the prime factors of 172615?
5, 19, 23, 79
What are the prime factors of 14620961?
14620961
List the prime factors of 532130.
2, 5, 127, 419
List the prime factors of 520921.
520921
What are the prime factors of 697626?
2, 3, 12919
List the prime factors of 235184.
2, 14699
What are the prime factors of 1114062?
2, 3, 185677
List the prime factors of 418866.
2, 3, 7, 9973
List the prime factors of 24516960.
2, 3, 5, 13, 3929
List the prime factors of 693138.
2, 3, 115523
List the prime factors of 4122624.
2, 3, 11, 61
List the prime factors of 14563.
14563
What are the prime factors of 5115405?
3, 5, 341027
List the prime factors of 278870.
2, 5, 79, 353
What are the prime factors of 2210380?
2, 5, 29, 37, 103
What are the prime factors of 37642?
2, 11, 29, 59
What are the prime factors of 172057?
17, 29, 349
List the prime factors of 4285002.
2, 3, 431, 1657
List the prime factors of 25787.
107, 241
List the prime factors of 8588.
2, 19, 113
List the prime factors of 2131295.
5, 23, 43, 431
List the prime factors of 25858434.
2, 3, 7, 615677
List the prime factors of 92857.
92857
List the prime factors of 422005.
5, 84401
List the prime factors of 156464.
2, 7, 11, 127
List the prime factors of 1351513.
59, 22907
List the prime factors of 331084.
2, 13, 6367
What are the prime factors of 180843?
3, 13, 4637
What are the prime factors of 2349275?
5, 93971
List the prime factors of 283504.
2, 13, 29, 47
What are the prime factors of 273908?
2, 68477
What are the prime factors of 131998?
2, 31, 2129
What are the prime factors of 298521?
3, 41, 809
What are the prime factors of 7534374?
2, 3, 19, 29, 43, 53
What are the prime factors of 1475553?
3, 491851
List the prime factors of 27989102.
2, 349, 40099
What are the prime factors of 9801607?
109, 89923
What are the prime factors of 1864196?
2, 23, 881
What are the prime factors of 62417?
62417
List the prime factors of 676838.
2, 17, 1171
What are the prime factors of 685293?
3, 7, 32633
List the prime factors of 1390972.
2, 11, 101, 313
What are the prime factors of 1693432?
2, 13, 19, 857
List the prime factors of 10473187.
97, 107971
What are the prime factors of 905426?
2, 19, 23827
What are the prime factors of 333413?
29, 11497
What are the prime factors of 225589?
7, 13, 37, 67
What are the prime factors of 2584085?
5, 7, 17, 43, 101
List the prime factors of 641533.
359, 1787
What are the prime factors of 173904?
2, 3, 3623
List the prime factors of 384964.
2, 157, 613
List the prime factors of 658703.
658703
What are the prime factors of 732447?
3, 97, 839
List the prime factors of 42447.
3, 14149
List the prime factors of 6134575.
5, 245383
What are the prime factors of 1939108?
2, 484777
List the prime factors of 3749436.
2, 3, 149, 233
What are the prime factors of 15135271?
149, 157, 647
What are the prime factors of 326759?
67, 4877
What are the prime factors of 990094?
2, 7, 10103
What are the prime factors of 293959?
61, 79
List the prime factors of 46260.
2, 3, 5, 257
List the prime factors of 633003.
3, 7, 43, 701
List the prime factors of 209928.
2, 3, 8747
What are the prime factors of 2137933?
7, 305419
What are the prime factors of 3215278?
2, 11, 17, 8597
List the prime factors of 10665267.
3, 3555089
List the prime factors of 504153.
3, 13, 31, 139
List the prime factors of 70559.
37, 1907
What are the prime factors of 15704486?
2, 7, 29, 47, 823
List the prime factors of 934060.
2, 5, 46703
What are the prime factors of 284274?
2, 3, 17, 929
List the prime factors of 831875.
5, 11
What are the prime factors of 962877?
3, 193, 1663
What are the prime factors of 122765?
5, 43, 571
List the prime factors of 382807.
382807
What are the prime factors of 683544?
2, 3, 19, 1499
List the prime factors of 38200403.
38200403
What are the prime factors of 84419?
29, 41, 71
List the prime factors of 3843025.
5, 347, 443
List the prime factors of 2017212.
2, 3, 97, 1733
List the prime factors of 5917111.
1997, 2963
List the prime factors of 162903.
3, 13, 4177
List the prime factors of 3564107.
1277, 2791
What are the prime factors of 753524?
2, 257, 733
What are the prime factors of 2839668?
2, 3, 13, 109, 167
List the prime factors of 8949379.
8949379
List the prime factors of 16099645.
5, 3219929
List the prime factors of 172038.
2, 3, 53, 541
What are the prime factors of 55206?
2, 3, 3067
List the prime factors of 233767.
17, 13751
List the prime factors of 5397787.
139, 38833
What are the prime factors of 376707?
3, 199, 631
What are the prime factors of 465279?
3, 31, 5003
What are the prime factors of 531434?
2, 265717
List the prime factors of 315678.
2, 3, 11, 4783
List the prime factors of 39948.
2, 3, 3329
What are the prime factors of 1669428?
2, 3, 79, 587
What are the prime factors of 5773692?
2, 3, 481141
List the prime factors of 1229221.
7, 41, 4283
What are the prime factors of 13822373?
31, 445883
List the prime factors of 17689876.
2, 67, 149, 443
What are the prime factors of 5330189?
5330189
What are the prime factors of 4498504?
2, 562313
What are the prime factors of 22458909?
3, 11, 53, 12841
What are the prime factors of 1101837?
3, 11, 173, 193
What are the prime factors of 2517611?
2517611
List the prime factors of 33972857.
3847, 8831
List the prime factors of 24099891.
3, 1873, 4289
List the prime | {
"pile_set_name": "DM Mathematics"
} |
e second derivative of 1485*p**3 + 2385*p**2 - 1425031*p wrt p?
8910*p + 4770
What is the first derivative of -248776348*f**3 + 2*f - 310794383?
-746329044*f**2 + 2
Differentiate 2*y**4 + 1854*y**3 + 41178*y**2 + 695835919 with respect to y.
8*y**3 + 5562*y**2 + 82356*y
Find the third derivative of -10*i**2*m**5 + 11790058*i**2*m**3 - 2*i**2*m**2 - 559*i**2*m + 103*i**2 + 12*i*m - 3*m**2 wrt m.
-600*i**2*m**2 + 70740348*i**2
Find the second derivative of -15417179*i**5 + 290*i - 9940.
-308343580*i**3
Differentiate 3583*b**3*c - 2*b**3 + 155*b**2*c*y**2 - 525304*b**2*y**2 - 3 wrt c.
3583*b**3 + 155*b**2*y**2
Find the first derivative of -362446239*m**2*t - 239*m**2 - 358*m + 253 wrt t.
-362446239*m**2
Find the third derivative of 431*d*y**4 + 945*d*y**3 - 6*d*y**2 + 355722*d*y - 2*y**2 wrt y.
10344*d*y + 5670*d
Differentiate 36266594*i**2 + 266842005 with respect to i.
72533188*i
Find the third derivative of 22947364*j**4 - 3*j**2 + 1570*j + 32.
550736736*j
What is the second derivative of 4*c**4 + 328032*c**3 - 91887852*c?
48*c**2 + 1968192*c
Find the second derivative of 30728056*c**4 - 10029292*c wrt c.
368736672*c**2
What is the third derivative of -464347867*w**5 + w**4 + 45049476*w**2 wrt w?
-27860872020*w**2 + 24*w
Find the second derivative of 18*j**5*v + 7544149*j**2*v + 17890*j*v + 861*v wrt j.
360*j**3*v + 15088298*v
Find the second derivative of 33*l*o**3 + 11*l*o**2 - 112148088*l*o + 26941*o**3 wrt o.
198*l*o + 22*l + 161646*o
What is the second derivative of -255637182*x**5 + 14810747*x?
-5112743640*x**3
What is the first derivative of 12117*d**3*z**4 - 89285*d**3 - 2*d**2 + 427*d*z**4 + 40 wrt z?
48468*d**3*z**3 + 1708*d*z**3
Differentiate 1053358*a*g**2 + 26*a*g + 94718280*g**2 wrt a.
1053358*g**2 + 26*g
What is the first derivative of 6281659*o**2 - 17*o - 76058359 wrt o?
12563318*o - 17
Find the third derivative of 41*k**4*m + 18*k**3*m + 104*k**3 - 14587*k**2*m - 2*k**2 + k*m - 16*m wrt k.
984*k*m + 108*m + 624
Find the first derivative of -607965319*c*p*s + 65145*p*s - 2*p - 6*s + 3 wrt c.
-607965319*p*s
Find the second derivative of -1061320544*s*v**2*y + s*v*y - 2*s*y + 121*v*y + v - 2*y + 879 wrt v.
-2122641088*s*y
What is the third derivative of -126359085*b**5 - 854*b**2 - 398*b - 1?
-7581545100*b**2
Find the first derivative of 104*n*s**2 - 208089*n*s + 52832850*s**2 wrt n.
104*s**2 - 208089*s
Find the second derivative of w**3 - 817344798*w**2 - 61*w + 2364754 wrt w.
6*w - 1634689596
Find the second derivative of 9926817*v**2 + 655*v - 2626.
19853634
Find the second derivative of -42451*o**5 - 12*o**3 - 3*o + 112506 wrt o.
-849020*o**3 - 72*o
What is the third derivative of -31*k**3*s + 256228*k**3 + 43*k**2*s - 4*k**2 - 799531*k*s wrt k?
-186*s + 1537368
Find the second derivative of 31437348*f**2*j + 3*f**2*s + 1105*f*j*s - 215*f*j + 2*f*s - 5*j + 1 wrt f.
62874696*j + 6*s
What is the second derivative of 175*q*z**4 + 518*q*z + 635*q - 125*z**4 - 20*z**2 wrt z?
2100*q*z**2 - 1500*z**2 - 40
Find the first derivative of -56035405*x**3 - 39201071.
-168106215*x**2
What is the third derivative of -2268*d**5 - 15250*d**3 - 4*d**2 - 13287841*d wrt d?
-136080*d**2 - 91500
What is the second derivative of 269*t**4 + 1490*t**2 - 15698311*t wrt t?
3228*t**2 + 2980
What is the third derivative of 21*r**5 + 36108*r**4 + 2727701*r**2?
1260*r**2 + 866592*r
Differentiate 11919219*t*w - 398*t + 69030 wrt w.
11919219*t
Differentiate -2653*a**3 + 67*a**2 + a + 7344809 wrt a.
-7959*a**2 + 134*a + 1
What is the third derivative of -6277282*f**3 + 287*f**2 - 46002*f?
-37663692
What is the second derivative of -45821282*m**2*z - 4025*m - 369*z - 1 wrt m?
-91642564*z
Find the third derivative of -413*b*l**4*z + b*l**2*z - 96*b*l - 14*i*l**3*z - 132*i*l**3 + i*l**2*z + 6524*i*l**2 - 2*l**2 wrt l.
-9912*b*l*z - 84*i*z - 792*i
Find the second derivative of 187657635*j**5 + 270965278*j wrt j.
3753152700*j**3
Find the second derivative of c**3*i**3 + c**3*i - 12556683*c**2*i**3 + 128250965*c**2*i wrt i.
6*c**3*i - 75340098*c**2*i
Find the second derivative of -15339*u**3*x**2 - u**3*x + 269*u**2*x**2 + 4307205*u*x wrt x.
-30678*u**3 + 538*u**2
What is the first derivative of -111*i**2*z + 31344843*i**2 + 110135*i*z wrt z?
-111*i**2 + 110135*i
What is the second derivative of 3980995*k**3 - 7*k + 266249 wrt k?
23885970*k
What is the first derivative of -91883678*s**3 + 168259556 wrt s?
-275651034*s**2
Find the second derivative of -92407976*j**2 - 262265662*j wrt j.
-184815952
What is the first derivative of -401*b*y**2 - 17023*b*y - 2538*y**2 + 902*y + 6 wrt b?
-401*y**2 - 17023*y
Differentiate -105361*c**2 + 555*c + 223157319 wrt c.
-210722*c + 555
What is the first derivative of 19371*q**2*y - 21*q*y - 29*q - 6*y - 2062860 wrt q?
38742*q*y - 21*y - 29
Find the first derivative of -51*a**3 - 2*a**2 - 9789*a + 34051399.
-153*a**2 - 4*a - 9789
Find the third derivative of -1009199*p*s**3 + 5*p*s**2 + 2*p*s - 213*p + 24*s**2 wrt s.
-6055194*p
Find the second derivative of 6*d**4 - 382*d**3 - 3099*d**2 + 718228278*d wrt d.
72*d**2 - 2292*d - 6198
Find the first derivative of -70884061*q**4 - 394569287 wrt q.
-283536244*q**3
Find the first derivative of -334*r**3 - 328*r - 59779069.
-1002*r**2 - 328
What is the derivative of -60*a*w - 306721*a*y - 4689*w**4*y + 16*w**4 + 20*y wrt w?
-60*a - 18756*w**3*y + 64*w**3
What is the second derivative of 15*b**5 + 7123065*b**2 + 65616*b + 1916 wrt b?
300*b**3 + 14246130
Find the second derivative of -574608056*k*m**2 + 2433*k*m + 114*k + 2*m - 53 wrt m.
-1149216112*k
Find the third derivative of 463*h**6 - 12*h**5 + 96*h**3 + h**2 - 64*h + 1470 wrt h.
55560*h**3 - 720*h**2 + 576
What is the first derivative of -1152414*o**2 - 3*o + 16379494?
-2304828*o - 3
What is the second derivative of -15968*n**4 + 1753*n**2 - 81*n - 247568 wrt n?
-191616*n**2 + 3506
What is the derivative of -351180250*h - 102750293?
-351180250
What is the third derivative of 3*g**4*t - 89*g**4*u - 17056*g**4 + 32*g**2*t*u + 1469*g**2 - 51*t*u + 2 wrt g?
72*g*t - 2136*g*u - 409344*g
What is the second derivative of -475613441*f**3*s**2 - 3*f**3 + 10*f**2*s - 3*f + 21407*s + 4 wrt s?
-951226882*f**3
What is the second derivative of 572*b**2*t**2 - 15671*b**2*t + 2*b*t**2 + 3*b*t - 130*b + 2*t**2 - 2282*t - 3 wrt b?
1144*t**2 - 31342*t
What is the third derivative of 201702254*u*v**3 + 2026*u*v**2 - u + 3903*v**2 + 2 wrt v?
1210213524*u
Find the third derivative of -43389543*b**3 - 15784123*b**2.
-260337258
Find the second derivative of 59*g**2*r**3 + 70037*g**2*r + 18*g*r**3 - 308*g + 2*r**3 - 13*r wrt g.
118*r**3 + 140074*r
Find the third derivative of -5479*c**6*k - 562*c**3*k + 1529630*c**2*k - 2*c**2 - 2 wrt c.
-657480*c**3*k - 3372*k
Find the second derivative of -2507764*a**3 - 2*a**2 + 7*a - 2334228.
-15046584*a - 4
What is the second derivative of -6056118*x**2 + 23222332*x?
-12112236
What is the second derivative of 57*r**3 - 29499*r**2 - 11459201*r?
342*r - 58998
What is the first derivative of 8*n**2*w**2 - 6*n**2*w + 17*n**2 - 104*n + 64151*w**2 - 161 wrt w?
16*n**2*w - 6*n**2 + 128302*w
Find the second derivative of 222*f**5 + 1332*f**4 + 11*f**2 - 106125811*f.
4440*f**3 + 15984*f**2 + 22
Differentiate -15*q*t**2*v - 754*q*t**2 - 1002*q*t - 2*t**2*v - 138*t**2 + 40*t*v + 259*t - 2*v with respect to q.
-15*t**2*v - 754*t**2 - 1002*t
What is the derivative of -463477*h**4 - 11*h**2 + 26123554 wrt h?
-1853908*h**3 - 22*h
What is the third derivative of 2*n**3*p**2 + 6806657*n**3*p + 61*n**2*p**2 - n**2*p - 13830*p**2 + 3*p wrt n?
12*p**2 + 40839942*p
Find the second derivative of 6459*o**5*z - 1564*o**2 - 1243*o*z - 6443*z wrt o.
129180*o**3*z - 3128
Find the second derivative of 17*j**5 - 178415*j**3 + 9*j**2 - 716279609*j wrt j.
340*j**3 - 1070490*j + 18
Find the first derivative of 11953977*a**4 + 13311819.
47815908*a**3
What is the derivative of 114*m**4 - 242483*m**3 + 74099814 wrt m?
456*m**3 - 727449*m**2
Find the second derivative of 82*b**2*i**2*v - 2*b**2*i*v - 97564*b**2*i - 2*b*i**2*v - 18*b*i*v + 9434*i**2*v wrt i.
164*b**2*v - 4*b*v + 18868*v
What is the first derivative of 113350858*s**4 + 217370775?
453403432*s**3
Differentiate 44136*h**2 + 7*h + 3601491.
88272*h + 7
Differentiate -8706*k**2 + 72*k + 12026 | {
"pile_set_name": "DM Mathematics"
} |
(a) 0.1 (b) n (c) -2
a
Let r = -4 - -8. Let b = r + -4.1. Let g = 1.95 - -0.05. What is the nearest to b in g, 1/8, -0.1?
-0.1
Suppose 0*d + d = -5, -3*d = -4*l + 3. Let q = 52867 - 368875/7. Let b = -171 + q. What is the nearest to -3/5 in 1/3, l, b?
b
Let s = 4/31 + 42/155. Which is the nearest to s? (a) -5 (b) -2/21 (c) 2
b
Let i = 0.1285 - -0.0715. Let k = -6 + 10. What is the closest to -2/7 in i, k, 3/5?
i
Suppose -2 - 2 = 4*n. Let l(x) = x + 6. Let s be l(-4). Let d be 4/s - (-9 + 11). Which is the closest to d? (a) n (b) -2/9 (c) -3
b
Suppose -5 - 4 = 3*y. Suppose -2*t + 4*i + 2 = 0, 0 = 3*t - i - 2*i. What is the nearest to t in 2/7, y, -2/7?
-2/7
Let k be ((-6)/9)/(14/6). Let p(n) = n**3 - 5*n**2 - 6*n - 4. Let l be p(6). Let u = 2.93 + 0.07. Which is the nearest to k? (a) 0.5 (b) l (c) u
a
Let w = 6 - 2. What is the nearest to 1 in w, -2/9, 6?
-2/9
Let h(s) = s - 8. Let t be h(9). Which is the closest to -2/7? (a) t (b) -5 (c) -2
a
Let d = 2.9 - 3. Suppose 4*k + 4*n + 5 = -n, -5*k + 5*n = -5. Let p(u) = 2*u + 4. Let v be p(0). Which is the closest to d? (a) -1/7 (b) k (c) v
a
Let h(v) = v + 5. Let b be h(-3). Suppose -b*s - 11 = -31. Let r be 3 + -6*s/21. What is the closest to 1 in -3, r, -1?
r
Let y = 35 + -35. What is the closest to y in -6/7, 4, -0.4?
-0.4
Let g be 7 - (-2 + (5 - 1)). Suppose 11 = -3*x - n, 0 = 6*x - x - 5*n + 25. What is the nearest to 0 in -1, g, x?
-1
Let m = -2 + 1. Let b = 6 - 6.12. Let f = b - -0.02. What is the closest to m in 3, 2, f?
f
Let j = 3/17 + 5/68. Which is the closest to 1/3? (a) j (b) 4 (c) 0.5
a
Let b = -3/70 + -5/14. What is the closest to -1 in b, -0.3, -1?
-1
Suppose 14 = -4*u - 2. Let t be (2/(-18))/(u/(-8)). Which is the closest to 2/7? (a) 4/7 (b) 4 (c) t
a
Suppose 0 = -6*d + d + 20. Let l be 8/(-11)*(-7)/28. Which is the nearest to 0.1? (a) l (b) d (c) 0.4
a
Let n = -3 - -1. Let x = 7 + n. Let l = 73 + -73.3. Which is the closest to -1? (a) -5 (b) x (c) l
c
Let r = -0.8 - -0.7. Let q be 2/26*(0 - 2). Let l = -0.1 + 0.1. Which is the closest to r? (a) -2 (b) q (c) l
b
Let f = 2 - 3. Let d = -23 + 20. Which is the closest to -1/2? (a) -0.2 (b) d (c) f
a
Suppose -3*g = 2*m + 3, -2 = 4*g + m + m. Let l = -8.8 - -10. Let z = -1 + l. Which is the closest to g? (a) 1 (b) 2/3 (c) z
a
Suppose -2*n + 0*n = 0. Suppose -4*f - 3*y - 6 + 18 = n, 0 = -f + 3*y + 3. Let g be -3 - -1*10/f. Which is the closest to 0? (a) 3 (b) g (c) 0.1
c
Let v = 3/4 - 1/12. Let z = -4.4 - 0.6. Which is the nearest to v? (a) z (b) 0.4 (c) 4
b
Let b = 0.5 + -2.5. Let f = 376/3 - 125. What is the closest to 1 in -1, b, f?
f
Let x = 1.4 - -3.1. Let d = x - 5. Let o = 0.5 - d. Which is the nearest to o? (a) 5 (b) -0.4 (c) 2/7
c
Let w = -3/46 + 125/506. Let m(k) = k**2 - 8*k + 5. Let c be (24/10 - 2)*20. Let u be m(c). What is the closest to -2 in w, u, -2?
-2
Let y = -9.5 + 10. What is the closest to 2 in y, 4, 0.2?
y
Let y(g) = -2*g - 3. Let o be y(-2). What is the closest to 1 in o, 3, 0.3?
o
Let u = 461/95 - 1/19. Let l = u + -5. Let n = 0.11 - -4.89. Which is the closest to 0.1? (a) -3 (b) l (c) n
b
Let j = 67/970 + -636103/3880. Let f = j - -661/4. Let g = -159/104 + f. What is the nearest to -1 in g, 4, -0.4?
-0.4
Let j = -61 + 63. Which is the nearest to 1? (a) j (b) -0.3 (c) -0.13
a
Let d(m) = 2*m**2 + 29*m + 14. Let w be d(-14). What is the nearest to w in -0.2, 0, -2?
0
Let f be (-4)/418*(-699)/(-42). Let k = -3/133 + f. Suppose 4*t + 4 = -0*t. Which is the nearest to -2/7? (a) -0.2 (b) k (c) t
a
Suppose y = 5*j - y - 3, 5*y = -20. Which is the closest to j? (a) -0.3 (b) 1/2 (c) -3
a
Let m = -1 - 1. Let n = 103/264 + -5/24. Which is the nearest to -5? (a) m (b) n (c) -1
a
Let y = 144/5 + -29. Let i(s) = s**2 + 7*s - 4. Let b be i(-7). Let f be ((-2)/1)/((-28)/b). What is the nearest to y in -1, f, 2/5?
f
Let l = -8 - -5. Let h = -3 - l. Suppose -7*f + 4*f + 6 = h. Which is the nearest to 0.1? (a) -0.5 (b) f (c) -0.2
c
Suppose -1 = -0*l + l. Let m = -0.372 + 0.172. What is the nearest to l in m, -3, 4?
m
Let j = -34 + 22. Let d = 11.6 + j. What is the nearest to d in 3/4, 5, 0.1?
0.1
Let g be 6/28*14/(-4). Let i = -21 + 25. Let o be (0 - 0)*(-1)/2. Which is the closest to o? (a) g (b) -1/2 (c) i
b
Let d = -50 + 50.7. Let q = 14 - 14.9. Let z = q + d. Which is the nearest to 2/3? (a) 2/7 (b) -5 (c) z
a
Let v be (-17)/(-12) + 21/(-28). Let q = 8 - 7.7. Let f = 125/3 + -41. Which is the nearest to f? (a) q (b) v (c) -1
b
Let o = 31 - 29. Which is the closest to o? (a) 0.1 (b) -4 (c) 0.2
c
Let w = 17 - 7. Suppose -5*q - 60 = -w*q. Let p be 4/2 + (-21)/q. Which is the nearest to -1? (a) p (b) -0.2 (c) 0.4
b
Let p(v) = -6*v - 67. Let o be p(-11). Let i be 36/10 + (-4)/(-10). Let t be 2/(-3) + 2/i. Which is the nearest to o? (a) -5 (b) t (c) -2/7
c
Suppose o = 5*o. Let q = -0.09 + 5.09. Let g = q - 5. Which is the nearest to o? (a) g (b) 0.4 (c) 0.1
a
Let p = -319 - -320. Let j = -3 + 6. What is the nearest to -2 in p, j, 2?
p
Suppose 3*f + 48 = -2*f + 2*k, 0 = 5*f - k + 49. Let t be 1/(f - (-9)/3). Which is the nearest to 0.1? (a) -3 (b) 1/3 (c) t
b
Let f = 13 + -12.7. Which is the nearest to -1? (a) 3/5 (b) 2/3 (c) f
c
Suppose -5*l + 9*y = 4*y - 30, 2*l + 3*y = 7. Which is the closest to 4/9? (a) -0.2 (b) 3 (c) l
a
Let x = -0.03 - -5.03. Let t = -9 - -13.7. Let g = t + -0.7. Which is the closest to -1? (a) x (b) 2/15 (c) g
b
Let a be (2/(-6))/1*-3. Suppose -2*u - 7 = -a. Let w = 0.05 + -0.45. What is the nearest to -2 in w, u, 0.2?
u
Let k be -4 - ((-4)/2 + 1). Let s = 3 - 2.7. What is the closest to -0.06 in 1, s, k?
s
Let r be 24/(-20)*(-15)/(-21). Which is the nearest to 1? (a) 0 (b) r (c) -0.1
a
Let u = 10 + -10.3. Let o = u - -0.4. What is the nearest to -2/5 in -5, 1, o?
o
Let v be 15/(-40) + (-1 - -1). Which is the nearest to -10? (a) v (b) -0.4 (c) -0.5
c
Let d = 0.4 + -5.4. Let s be 0 + 2/(-2) - (-23)/69. Let q = 71 + -145/2. What is the nearest to -1 in s, q, d?
s
Let f = 636736/7 + -91137. Let s = -175 - f. Let m = 3 + -2. Which is the nearest to s? (a) m (b) 5 (c) -0.4
c
Let t = -2.4 + 2.3. Which is the closest to 1? (a) t (b) -0.2 (c) -2
a
Let b(i) = i**2 - 3*i + 2. Suppose -h = 5*n - 12, -2*h = 4*n + 1 - 7. Let a be b(n). Let p be -4*(a + 0)/(-44). What is the closest to 0 in -0.2, -3, p?
p
Let w = 0 + -0.2. Let x = -108 - -109. What is the closest to w in 2/11, x, -3?
2/11
Let u = 0.45 + -0.05. Let t(c) = -c**3 + 4*c**2 + 5*c - 3. Let a be t(5). Let j be a + ((-476)/(-24))/7. What is the nearest to -0.1 in 3/5, j, u?
j
Let y = -6 + 6.3. Let n = -0.06 + 5.06. Which is the closest to 2/9? (a) y (b) -4 (c) n
a
Let q be (0/(-2) + 1)/(3/(-3)). Let y = 5.59 - 0.09. Let l = y - 0.5. What is the nearest to q in -1/3, l, 0?
-1/3
Let z = -9.6 - -13.6. Let s be (-1)/15*2*-5. Let g be (-10)/(-4)*(-6)/(-10). What is the closest to s in z, 0.4, g?
0.4
Let r = 7798 - 218247/28. Let k = -26/7 + r. Let o = 0.7 + -1. What is the closest to -1/4 in -0.4, o, k?
k
Let p = 16 - 12. Let w be 2/(-3)*(-2)/p. What is the closest to -1/4 in 0.1, 0.2, w?
0.1
Let x be 5/30*-3*-4. Which is the nearest to 0.2? (a) -1 (b) 1/4 (c) x
b
Let q = 78 - 74. Which is the nearest to 0.06? (a) -3 (b) 2/9 (c) q
b
Let p(y) = y. Let u be p(0). Suppose r = -2*x - 2 + 3, 2*x + 5*r - 21 = u. Let t = -20.9 - -21. Which is the closest to x? (a) 0.2 (b) t (c) -5
b
Let x = 7 + -3. Let i be ((-6)/(-15))/(2/10). Let z = -249/4 - -62. Which is the nearest to z? (a) 0.3 (b) x (c) i
a
Let r = 2 - 1. Which is the closest to -1? (a) -4 (b) 0 (c) r
b
Let s be 2*((-32)/24 - 4/6). Let z = -8 - -6. Let o = -3 - z. What is the closest to 1 in -1/6, s, o?
-1/6
Let d be (-10)/6 + (-4)/(-6). Suppose -9*p + 56 = 20. Let h = 0 - 0.3. What is the nearest to d in p, 5, h?
h
Let u(w) = -2*w - 15. Let y be u(-9). Which is the nearest to -0.1? (a) -2/3 (b) y (c) -1/28
c
Let o be 12/(-14)*(-56)/12. Which is the closest to -7? (a) 3 (b) o (c) -4
c
Suppose 3 = -2*f + f. Let d = -15 + 9. Let w = d - -5.8. Which is the nearest to w? (a) f (b) 1/3 (c) 4
b
Let g = -67 + 67. What is the closest to 3/4 in -0.5, g, 3?
g
Let y = 288/5 - 58. Let h = | {
"pile_set_name": "DM Mathematics"
} |
-2*(i + (-2)/4). Let d be (2/(-38))/(c/(-2)). Are 0 and d unequal?
True
Let g = -23/33 - 7/11. Suppose 5 = -2*c - 5*n, 1 = 5*c - 4*n - 3. Which is greater: c or g?
c
Let u = 13988 - 1007525/72. Let k = u + 45/8. Let i = 1.3 - 1.4. Is i at least as big as k?
False
Let f be 4/(-1*(-2)/3). Let z be 2/3 + 26/f. Suppose 3*q = z*q - b + 2, 0 = 2*b - 4. Are -1/2 and q nonequal?
True
Let i be 2/(-7) + (-68)/7. Is -10 less than i?
False
Let g = 73/6 + -12. Let b = -30 - -27. Let z(a) = a**2 + a - 6. Let d be z(b). Are g and d equal?
False
Suppose 11*n + 142 = -144. Which is bigger: -1/4 or n?
-1/4
Let p = 5266/17 - 310. Let g = -33/68 - p. Which is bigger: -3/7 or g?
g
Suppose 4 = 4*u - 0*u. Is 1/3 less than u?
True
Let i = 1.993 - 10.303. Let s = 1.41 + i. Let l = s - -7. Which is smaller: -1/4 or l?
-1/4
Let s = -0.011 - 5.589. Let c = s - -5. Which is greater: c or 0?
0
Let y = 6 - 4.5. Let f = 4.5 + y. Let z = 6 - f. Are z and 1/5 equal?
False
Let d(g) be the first derivative of g**3/3 + g**2 + g + 1. Let a be d(-2). Let x = -113 + 1693/15. Is a != x?
True
Suppose 0*h = -4*h. Suppose h = 5*u - u - 16. Let z = 5 - 1. Is u smaller than z?
False
Suppose -o - 275 = -3*h, 4*h = -2*o + 272 + 88. Let g be ((-2)/(-14))/(26/h). Which is smaller: g or 0.01?
0.01
Let l = 308/5 + -62. Which is bigger: l or 0.1?
0.1
Let z be 5/(-14) - 3/(-21)*2. Let q = -7 + 7. Is z greater than q?
False
Let g(a) = -10*a + 3. Let b(f) = 3*f - 1. Let c(o) = 7*b(o) + 2*g(o). Let s be c(5). Let k = 136 - 132. Do s and k have the same value?
True
Let u = 10 - 26. Which is smaller: u or -15?
u
Suppose -2*g + 69 = -4*o - 5*g, 3*g - 21 = 2*o. Which is bigger: 1 or o?
1
Let j = -0.131 + 0.031. Which is smaller: j or -45?
-45
Let o be 2*1/(-6)*-1. Let u = 13 - 12. Which is smaller: u or o?
o
Let g = 0.055 - -0.045. Is 2 at least g?
True
Let i = 0 - -1. Let w = 19 - 43. Let t = 74/3 + w. Which is greater: t or i?
i
Suppose s = -p - 0*s - 7, 1 = -s. Suppose 5*u = -3*w - 9 - 9, -w = 3*u + 10. Are p and w unequal?
True
Let i = 3.9 - 4. Let u = 7.6 - 2.6. Which is greater: i or u?
u
Suppose -3*w + w = -8. Let z be ((-2)/w - -1)*0. Suppose 0 = 5*i - 2*g + 20, -2*i = -4*g - 0 + 24. Which is smaller: z or i?
i
Let i be (-6)/27 - 58/(-18). Suppose 5*p - 2*b - 10 = 0, -3*p = -2*p - i*b - 15. Which is greater: p or -1?
p
Let b = 12 + -3. Suppose 0 = -4*q + b + 11. Does 5 = q?
True
Let y = 5 - 1. Suppose 0 = -0*w - 4*w - y. Is w > -1?
False
Let r = 139 + -971/7. Is -1 != r?
True
Let o be (46/(-3))/(2/90). Let t = -3437/5 - o. Which is bigger: 2 or t?
t
Suppose 0 = y, k + 5*y - 17 = 2*k. Which is smaller: -18 or k?
-18
Let x = -8 + 12. Let s be (-3 + x)/((-3)/(-6)). Is s > 1?
True
Let k(l) = -4*l - 8 + 4 + 2*l. Let a be k(-3). Which is bigger: 4 or a?
4
Let o = 0 + -0.1. Suppose s - 6*s = -35. Suppose 2*g - 5 = s*g. Is o at least g?
True
Let n = 0.021 + -3.021. Which is greater: -0.05 or n?
-0.05
Let o = 21 - 34. Is o at least -13?
True
Let d be 3/(-4) - (-4)/4. Which is greater: -1 or d?
d
Let a = 4 - 4. Are -3/41 and a equal?
False
Let j = 4 - 4.4. Let y = j + -0.6. Which is bigger: y or -2?
y
Suppose 0*y - y = -18. Let b be ((-6)/y)/(2/(-12)). Is -0.1 bigger than b?
False
Let o = -1 - -1. Let k = 0.01 + -0.36. Let u = k - 0.15. Which is smaller: u or o?
u
Suppose 0 = -2*j + 13 + 11. Let t be (-7)/(14/j)*1. Let v be (t/3)/(10/2). Are v and -2/5 equal?
True
Let s = 7 - 2. Suppose x = f, -4*f - 4 = -s*x - 1. Let r = f - 2. Which is smaller: -2 or r?
-2
Let c = -11 - -1. Which is smaller: -11 or c?
-11
Let x be ((-4)/8)/((-1)/(-4)). Let l = -0.4 + 0.2. Is x <= l?
True
Suppose -23 = z - 4. Which is smaller: z or -20?
-20
Suppose -2*j + 6 - 10 = 0. Let d be -3 + 1 + j + 3. Which is smaller: d or 1/8?
d
Let j(m) = -m. Let f be j(1). Suppose -z = 3*z - 8. Let x be z - (21/4)/3. Are f and x equal?
False
Let m = -7 + 8. Is -18/7 greater than m?
False
Let z = 1.3 - 1.2. Which is greater: z or 0.06?
z
Let k(l) = l**2 + 5*l + 4. Let u be k(-4). Suppose 4 = -u*t + 2*t, -3*a = -4*t + 8. Does a = -1?
False
Let g = -5 + 1. Suppose 3*n - 4*n + q - 1 = 0, q + 8 = -2*n. Which is bigger: g or n?
n
Suppose d + 191 = -3*d + 3*q, 4*d = 4*q - 196. Let i be (-4)/d*(-2 + -2). Which is greater: i or 1?
1
Let q = -107 - -750/7. Do q and 0 have different values?
True
Let c = 2 - 1.95. Let h = 6.05 - 6. Let t = h + c. Which is smaller: t or -1?
-1
Suppose 0 = -2*x - u + 9, -4*x - 5*u + 21 = 0. Let k(a) = -a + 11. Let d be k(6). Suppose d*c + x*y - 25 = -5, 4*y - 20 = 0. Is c at most -3/4?
False
Let r be 5 + (-2)/1 - -2. Suppose -2*s + j = -3, 0 = -r*j - 2 - 3. Which is greater: 7/4 or s?
7/4
Suppose i + 16 = 2*j - i, -4*j = 3*i - 4. Suppose j*u - 8 = -0*u. Let n = u + -1. Which is greater: n or 6/7?
n
Let r = -0.118 - -3.118. Are -0.7 and r nonequal?
True
Let z(w) be the second derivative of -w**5/20 - 2*w**4/3 - w**3/6 - 7*w**2/2 - w. Let y be (0 - 2*-4)*-1. Let o be z(y). Which is smaller: o or 2?
o
Let p(l) = l**2 - 16*l + 25. Let v be p(18). Which is bigger: 62 or v?
62
Let r = 2 + -87. Is -86 greater than r?
False
Let x = 0 - -1/2. Which is smaller: x or 0?
0
Let c be 35722/(-10423) + (-2)/(-1). Let h = -2/1489 + c. Is -2 at most as big as h?
True
Let w(y) = -5 + 0*y + 3*y - 5*y. Let r be w(-6). Is r bigger than -1?
True
Let q be 130/(-14) - 10/(-35). Let g = q + 8. Which is smaller: g or 1/3?
g
Let a(n) = n + 6. Let c(o) = o + 6. Let l(t) = 6*a(t) - 7*c(t). Let s be l(-7). Which is greater: 2 or s?
2
Let f(d) = 5*d - 1. Let a be f(2). Let j = a + 1. Suppose -3*v = 2*v - j. Is -0.1 greater than or equal to v?
False
Let z(v) be the first derivative of v**4/4 - v**3 + v**2/2 - v + 6. Let y be z(3). Are 2 and y unequal?
False
Suppose 5*h - 3*h = -2. Let z = -1 + 4. Suppose 0 = -v - z*v - 4. Is v at least as big as h?
True
Let g(h) = h**2 - 5*h + 2. Let a be g(5). Let n = 29 - 25. Is a greater than n?
False
Let h be ((-1524)/(-32))/(3/2). Let f = h - 32. Let x = -13 + 14. Which is greater: f or x?
x
Let x be ((-5)/15)/((-19)/(-6)). Which is greater: x or -1?
x
Let i(k) = -k**3 - 3*k**2 - 2*k - 1. Let z be i(-3). Suppose -z*m - 24 = -m. Let u be (m/9)/(2/(-6)). Is u at least 3?
False
Let p be 0/2 - (-2 - 2)/24. Suppose 8 = 3*o - d, -5 - 5 = -5*o + 5*d. Let i be o/(-84) + 1/(-4). Is p less than or equal to i?
False
Let w = -198941/145 + 1372. Let n = -83/3625 - w. Let z = n - -383/500. Is 0 bigger than z?
False
Suppose -2 + 6 = 4*m. Which is bigger: 2/7 or m?
m
Suppose -2*s = 4*x - 14 + 6, -2*s = -2*x + 4. Is s < 6/13?
True
Let c = 14 + -17. Is c smaller than 0.1?
True
Let u be (-1)/(1 - 8/12). Let f(x) = -x**3 + 5*x**2 - 2*x - 4. Let i be f(4). Let z = -7 + i. Are z and u unequal?
False
Let u(t) = -t - 10. Let p be u(-12). Let a be p/3 - 18/27. Is 3 less than or equal to a?
False
Let q = 8/11 - 27/22. Is 0 at most q?
False
Let i be 19/(-24) - (-1)/(-3). Which is smaller: 0 or i?
i
Let s(l) = l + 3. Let i be s(-3). Suppose i = -4*t + 4*r, t - 3*r - r = -6. Suppose o + t = 2*o. Which is smaller: 1 or o?
1
Let i be (1 + -2)*1 + -1. Let t be 2 - i/(12/(-15)). Which is smaller: t or 0?
t
Let l be (-104)/32 + 0 - (-1 - 2). Let z be 5/2*(-4)/(-45). Which is smaller: z or l?
l
Let c(f) = -2*f**2 + 2. Let m be c(-3). Let d be (-1)/(-3) - m/(-36). Is -1 not equal to d?
True
Let p be (-2)/9 - (-312)/(-54). Suppose -4*w - 20 = w. Which is smaller: w or p?
p
Let w = -11 + 4. Let p = -4 - w. Is p at least 0.1?
True
Let j(r) = -4*r**3 + 53*r**2 - 12*r - 12. Let k be j(13). Is k at most 2/179?
False
Let c(p) be the second derivative of -p**5/20 + p**4/4 + 5*p**3/6 - p**2/2 - 2*p. Let r be c(4). Let o(s) = -4*s**3 - 2*s**2 - s. Let x be o(-1). Is x > r?
False
Let u = 2 + -2. Let w be ((-1)/(-2))/(-1) - -1. Which is bigger: w or u?
w
Suppose 4*z - 8 = l, -2*z + 4*l + 17 = -z. Is 3/2 != z?
True
Let r be 8/(-6) - 1/(-3). Let i = -31 - -45. Let c = -16 + i. Is r at most as big as c?
False
Suppose 2*v - 70 = 4*t - 9*t, 0 = -2*v - t + 86. Are v and 44 unequal?
True
Let t be (-20)/6*6/(-82). Let g = t + -152/287. Is 0.3 at least as big as g?
True
Let f(a) be the first derivative of -1/3*a**3 - 11/2*a**2 - 1 + a. Let d be f(-11). Are -1/12 and d equal?
False
Let t be (-26)/(-12) + 2/(-12). Let y = t + -3. Let x = -5 + 6. Which is bigger: y or x? | {
"pile_set_name": "DM Mathematics"
} |
0*n**4.
-5*n**4 - 10*n**2 - 2
Expand (3*p**2 + 2*p**2 + 0*p**2)*(-342 + 8*p**3 + 342) + 0*p**5 + 5*p**5 - 4*p**5.
41*p**5
Expand (0*v - 2*v + 0*v)*(-58*v + 14*v**2 + 58*v) - 2 - 3*v**3 - v - 7*v**3 + 9*v**3 + 5*v**2.
-29*v**3 + 5*v**2 - v - 2
Expand (-10*q + 25*q + 3*q + 38*q)*(-4*q - 3*q**2 + 4*q).
-168*q**3
Expand 2*u - 2*u - u**2 + (33 - 33 + 62*u**2)*(6 + 4 - 4) - 2*u**2 + 6*u**2 - 5*u**2 + (-2*u**2 + 0*u**2 + 3*u**2)*(2 - 2 - 1).
369*u**2
Expand (376 - 376 - 33*l)*(2*l - 2*l**2 - 2*l).
66*l**3
Expand (5*s - 5*s + 5*s)*(-1 - 4 + 3)*((-5 + 4 + 0)*(-2 - 2*s + 2) + 5 - 5 - s - s - 2*s + 5*s + 171 - 236 + 3*s - s).
-50*s**2 + 650*s
Expand (2*b**3 + 2*b**4 - 2*b**3)*(-1 - 3 + 3) + (2*b**2 - 2*b**2 + 2*b**2)*(-4*b**2 + 3*b**2 - 5*b**2) + (-3 + 3 - 1)*(76*b**2 - 76*b**2 + 14*b**4).
-28*b**4
Expand (17*t - 19 + 19)*(-3*t + 3*t - 3*t) + (2*t - 2*t + 2*t)*(4*t - 2*t - 3*t) + t**2 - 2*t**2 + 0*t**2.
-54*t**2
Expand (6*h**2 - 3*h**2 - 4*h**2 + (3*h - 2*h - 3*h)*(-h + 0 + 0) - 4*h**2 - 55*h + 55*h)*(2*h - 2*h**2 + 7*h**2 - 6*h**2).
3*h**4 - 6*h**3
Expand (-c**3 - 3*c**3 + 3*c**3)*(-29*c + 26*c - 50*c).
53*c**4
Expand 2*p**5 + p**5 - 2*p**5 + (-p**4 + 0*p**4 + 3*p**4)*(2*p + p - p) + 4*p**5 + 2*p**5 - 4*p**5 + 25*p**5 + 112*p**5 - 4*p**5.
140*p**5
Expand (26*p**4 - 4*p**4 + p**4)*(-26*p - 46 + 22 + 22).
-598*p**5 - 46*p**4
Expand (-1 + 0 - 1 + (-2 + 7 - 2)*(2 + 0 - 1) - 1 + 3 - 4)*(-17 + 17 - 20*m**5).
20*m**5
Expand (-3*j - j + 5*j)*(j + 4*j - 3*j) - 4*j**2 + 0*j**2 + 3*j**2 + 2*j**2 - 2*j**2 + 3*j**2 - 10*j + 21*j - 12*j + 8*j**2.
12*j**2 - j
Expand (0*g + 2*g - 5*g)*(0 + 0 + 2) - 33*g - 19 + 19.
-39*g
Expand (4*s - 3*s - 3*s)*((-4*s + 4*s + 3*s)*(-2*s + 2*s - 2*s) + 6*s - 6*s - 3*s**2 + 7*s**2 + 7*s + 2 - 7*s).
4*s**3 - 4*s
Expand 2*m + 26 + 31 - 42 + (0 - 1 + 0)*(8 - 2 - 1)*(-6*m + 3*m + 2*m)*(-3 + 1 + 1).
-3*m + 15
Expand 0*y**3 - y**3 + 4*y**3 + 2*y**3 - 2*y**3 - 2*y**3 + (-4*y + y + 2*y)*(2*y**2 + 3*y**2 - 3*y**2) + 24*y - 24*y - y**3 - y**3 + y**3 + y**3.
-y**3
Expand (-x**4 + 4*x**2 - 4*x**2)*(-2*x + 0*x + 4*x) - 69*x**5 + 72*x**5 - 49*x**5.
-48*x**5
Expand -5 + 3*j**4 + 5 - j**4 + 3*j**4 - 3*j**4 + (-2*j**3 + 4*j**3 + 0*j**3)*(-6*j + 2*j + 2*j) + 6*j**4 - 6*j**4 + j**4.
-j**4
Expand (-29*s + 5*s - 10*s)*(2*s - 4*s + s) + (-2*s + 0 + 0)*(0*s - 3*s + 5*s) + 4*s**2 - s**2 - 2*s**2.
31*s**2
Expand (12 + 11 - 9)*((-2 + 0 + 0)*(m**2 + 0*m + 0*m) + 3*m**2 - 2*m**2 - 2*m**2 + 7*m**2 - m**2 + 6*m**2).
126*m**2
Expand (y - 4*y + 114*y - 22*y)*(-5*y + 3*y + 7*y).
445*y**2
Expand (3 - 1 - 1)*(3*z - 5*z - 56*z)*(1 - 3 + 3) + 4*z - 3*z + 5*z + 2*z + z - z + (1 - 2 - 1)*(3 - 2*z - 3).
-46*z
Expand -2*r**4 + 8 - 8 + r**4 - 1572 + 11*r + 1572 - 2*r**4 - 3*r**3 + 3*r**3 + r**4 + r**4 - 4*r**4 + (-2 + 2 + r**2)*(-2*r**2 - 3*r**2 + 4*r**2).
-6*r**4 + 11*r
Expand (3*d + d - 3*d + (-2*d - 2 + 2)*(-2 - 2 + 2))*(1 - 4 + 1)*(-7 + 9 + 2) + 2*d - 3*d + 2*d + 6*d - 30 + 30.
-33*d
Expand -5*n - 2*n + 5*n + 2 + (113*n - 194 + 194)*(-2 - 2 + 2).
-228*n + 2
Expand (6*p**2 - 4*p**2 + 2*p**2)*(-95*p + 31 - 31)*(-2 + 2 - 1).
380*p**3
Expand (-9 + 9 + 3*z**2)*((6*z + 25*z + 13*z)*(-3 + 4 + 1) + 0*z + 4 - 1 + z).
267*z**3 + 9*z**2
Expand (1 + 2 - 6)*(-178*v**3 - 158*v**3 - 159*v**3).
1485*v**3
Expand 8*h - h - 3*h + (0 - h + 0)*(-2 + 20 + 11).
-25*h
Expand 15943*m**2 + 157*m**3 - 15943*m**2 + (0 - 2*m**2 + 0)*(-4*m + 5*m - 3*m) + (0 + m**2 + 0)*(-2*m + m - m) - m**3 - 3*m**2 + 3*m**2.
158*m**3
Expand (-4*i**4 + 3*i**4 + 3*i**4)*(0 - i + 0)*(7 - 4 + 0)*(2 - 4 + 3).
-6*i**5
Expand (-s + 2*s - 3*s)*(3*s - 3*s - s) + (16 - 16 + 11*s)*(6*s - 2 + 2).
68*s**2
Expand (-b**2 + 3*b**2 + 2*b**2)*(-2 - 1 + 1) + 8*b**2 - 5*b**2 - 7*b**2 + 4*b**2 + 0*b**2 + b**2.
-7*b**2
Expand (-3*q**3 + 3*q**3 + 2*q**3)*(2*q - 2*q - 3*q) - 5*q**3 - 2*q**4 + 5*q**3 - 13 - 123*q**3 - q**4 - q - 22 + 120*q**3.
-9*q**4 - 3*q**3 - q - 35
Expand (3*s + 0 + 2 - 4*s)*(-872*s**4 + 60*s**4 - 2*s**3 + 153*s**4).
659*s**5 - 1316*s**4 - 4*s**3
Expand (0*s - 2*s + 0*s)*(2*s - 6 + 6 + (-7 - 4 + 0)*(-4*s + 4*s - 2*s)).
-48*s**2
Expand (31 - 31 - 10*f)*(-3*f**2 - 5*f**2 - f**2).
90*f**3
Expand (-3*m**3 + 2*m**3 + 0*m**3)*(-4*m + 3*m + 2*m) + m**4 + 2*m**4 - 5*m**4 - 16*m**4 - 10*m**4 + 7*m**4.
-22*m**4
Expand (23 - 123 + 10)*(-4*o + 5*o - 4*o).
270*o
Expand -2*l**2 - 2*l**2 + 2*l**2 - 2*l**2 + 0 + 0 + (-3*l + 0*l + l)*(3*l + 3*l - 4*l) - l**2 - 3*l**2 + 2*l**2 + 155*l**2 + 17360 - 17360.
145*l**2
Expand (2*g + g - 5*g)*(0*g + 0*g - g**4 + (4*g**3 - g**3 + g**3)*(4*g + 4*g - 3*g)).
-38*g**5
Expand j**2 - 2*j + 2*j + (-j**2 + j**2 - j**2)*(4 - 3 - 3) + 2*j**2 + 1 - 1 + (0*j + 2*j**2 - 3*j**2 + j)*(-3 + 0 + 6).
2*j**2 + 3*j
Expand w**3 + 2*w**3 - w**3 + (8*w**3 - 21*w + 21*w + (0*w + 3*w - 2*w)*(2*w**2 - 2*w**2 + w**2))*(-2 - 2 + 6 - 4 + 1 - 2 + (-3 + 3 - 2)*(-3 + 1 + 3)).
-43*w**3
Expand 0*o**3 + 2*o**3 - o**3 + (-4*o - 2*o + 5*o)*(o**2 + 3*o - 3*o + (-4*o + 5*o + o)*(2*o + 3*o - 3*o) + 14 + 7*o**2 - 14).
-11*o**3
Expand (0*u - 2*u - 2*u)*(0*u + 2*u + 0*u) - u**2 - 3*u**2 + 3*u**2 + 2*u**2 + 4*u**2 - 2*u**2 + (0*u - 3*u - u)*(u + 3*u - 2*u).
-13*u**2
Expand (40 + 822*z**2 - 43 + 3)*(0*z**3 - 2*z**3 + 0*z**3).
-1644*z**5
Expand -30 - 8*m**5 + 30 + (m**3 + m**3 + 2*m**3)*(m**2 - 2*m**2 + 5*m**2).
8*m**5
Expand (-j**3 + 2*j**3 + j**3)*(42 - 9 + 6)*(-23*j + 5*j - 5*j).
-1794*j**4
Expand (3 - 3 + 2)*(-18 + 12 + 14)*(-123*z + 104*z - 1 + 0).
-304*z - 16
Expand 4*i**5 - 4*i**5 + 2*i**5 + (12 - 12 - 21*i)*(i**4 - 2*i**4 + 5*i**4) + (3*i**3 - 3*i**3 - 2*i**3)*(-3*i**2 + i**2 + 0*i**2).
-78*i**5
Expand n**4 - 2*n**4 + 2*n**4 + (5*n + 3*n - 4*n)*(-2 + 4*n**3 + 2) - 3*n**4 + 4*n**4 + 3*n**4.
21*n**4
Expand (-4 + 1 + 2)*(-59 + 13 + 18)*(-3 + 3 - 4*y**3).
-112*y**3
Expand (4*w - 2*w**2 - 4*w)*(-4*w + 3*w + 0*w - 2*w + 2*w - w + (1 + 1 + 0)*(-2 - 2*w + 2) - 4 + 4 - w + 0*w + w + 0*w) + 786*w**3 - 639*w**3 - 583*w**3.
-424*w**3
Expand x**3 - 4*x**3 + x**3 - 147*x**3 + 190*x**2 - 190*x**2 + (4 - 4 + 2*x)*(-5*x**2 + 4*x**2 + 3*x**2).
-145*x**3
Expand (48 + 7 - 8)*((-3 + 5 + 0)*(0*r**2 - 3*r**2 - 6*r**2) + 0*r**2 + 0*r**2 + 2*r**2).
-752*r**2
Expand (3 + 0 - 1)*(5 + 4 - 5)*(0*o + 0*o - o).
-8*o
Expand (3 - 2*u - 3)*(-5 + 5 + 1)*(1 + 1 - 3) + (6 + 3 - 3)*(-12*u + 5*u + 3*u).
-22*u
Expand (2*c**3 + 3*c - 3*c)*(7 + 2*c**2 - 7) + 2*c**5 + c**5 - 5*c**5 + (-33*c**2 + 33*c**2 + 7*c**3)*(0*c**2 + 3*c**2 - c**2).
16*c**5
Expand (-5*v + 4 - 4)*(3*v**3 - v**3 - 5*v**3) - 2*v**4 + 2*v**3 - 2*v**3 + (-4*v - 2*v + 7*v)*(-3*v**3 - 3*v + 3*v) + v**4 + 0*v**3 + 0*v**3.
11*v**4
Expand (-6*n - 7*n + 11*n + 36)*(3 - 3 + 2*n - 3).
-4*n**2 + 78*n - 108
Expand (-1 + 2*j + 1)*(2 + 0 + 1) + 125*j - 186*j - 65*j.
-120*j
Expand (0*s + 0*s + 2*s)*(0 + 1 - 3) + 4*s + 3*s - 4*s + (s - 3*s + 0*s)*(-3 + 0 + 2) + s - 4*s - s.
-3*s
Expand s**4 + s**5 - s**4 + (-19*s**4 + 6*s**5 + 19*s**4)*(-6 + 1 + 1) + 2*s + s**5 - 2*s.
-22*s**5
Expand (-20*o - 18*o + 38*o + 560*o**2)*(-12*o + 12*o + 7*o**3).
3920*o**5
Expand (2*d + 0*d + 0*d)*(-2*d + 3*d - 29*d)*(13 - 13 - d).
56*d**3
Expand (39*g + 31*g + 11*g)*(g + 0*g + 2*g).
243*g**2
Expand (-4*y + 3*y - y)*(-423*y - 21*y**2 + 423*y) - 18*y**3 + 7*y**3 + 3*y**2 + 13*y**3.
44*y**3 + 3*y**2
Expand 3*d - 2*d**2 - 3*d + (26*d + 45*d - 7*d)*(-3 + d + 3).
62*d**2
Expand (-3*n**2 + 7*n**2 - 3*n**2)*(-14*n - 25 + 2*n + 11*n).
-n**3 - 25*n**2
Expand (-5*g**2 + 2*g**2 + 2*g**2)*(5*g - 5*g - 2*g**2) - 5576*g + 2*g**3 - 15*g**4 + 5576*g.
-13*g**4 + 2*g**3
Expand (455*c - 4140 + 4140)*(-c - c + 0*c + (2*c - 4 + 4)*(1 + 2 - 1)).
910*c**2
Expand (-23 + 501 + 114 + 564 - 120)*(-3*h + h + 3*h).
1036*h
Expand (3 - 36 - 16)*(32*x**5 + 75*x**2 - 75*x**2).
-1568*x**5
Expand 0*y**4 - 4*y**4 + y**4 + (8 - 2*y - 8)*(0*y**3 - y**3 + 11*y**3).
-23*y**4
Expand (4*w - 4*w + 10*w**2)*((-1 + 0 + 3)*(-3*w + 0*w + 4*w) + 0*w + 0*w + 2*w + 0*w - 2*w - 3*w).
-10*w**3
Expand (5*l**2 - 4*l**2 - 15*l**2)*(9*l - 5*l + 6 - 5*l).
14*l**3 - 84*l**2
Expand (-i**3 + 6*i**3 + 4*i**3 + 2 - 2 - 2*i**3 + (-1 + 1 + 2*i**2)*(4 - 2*i - 4) - 2*i**3 + 2*i**3 - 2*i**3)*(-2 + 0 - 6).
-8*i**3
Expand (-f**3 + 4*f**3 - f**3)*(f + 6*f + 0*f)*(4 - 9 - 41).
-644*f**4
Expand (-j**3 + j**3 + j**3)*(2*j - 2*j + 4*j**2) + 4*j**5 + j**5 - 4*j**5 + 4*j**5 + 0 - 3*j**5 - 2.
6*j**5 - 2
Expand 11*n** | {
"pile_set_name": "DM Mathematics"
} |
= 3*c - 7*c + 136. Suppose -c + 54 = 4*x. Sort x, 1, -2, 3.
-2, 1, 3, x
Let w(g) = g**3 - 11*g**2 + 10*g - 2. Let o be w(10). Suppose s + 32 - 12 = -5*x, -4*s - 5*x = 20. Put -34, s, o in ascending order.
-34, o, s
Let l = 0.1 - 12.1. Let t = -18 - l. Let p = 5.9 + t. Sort p, -2, -1.
-2, -1, p
Suppose -164 = 2*x - 166. Suppose 0 = 3*r + 5*f + 5 - 3, 5*f = 4*r - 44. Let g be (-27)/(-6) + r/(-4). Sort x, g, -5 in decreasing order.
g, x, -5
Let l = 5 + -5. Suppose b - 4 = -w, -5*b - 16 = -2*w - 2*w. Suppose 0 = -5*o - i + 10, i + w = 2*o - 2*i. Sort l, 4, o in increasing order.
l, o, 4
Let q(j) = 156*j**2 - 2*j - 2. Let b be q(-1). Let d = b + -158. Put 3, 1, d, -5 in ascending order.
-5, d, 1, 3
Let w = 318.4 + -318. Sort w, -2, -5, 2.
-5, -2, w, 2
Let y = -39/29 + 175/87. Suppose 0 = 2*t - 5 + 3. Suppose -3*d + 2 = -t. Sort 0.5, y, d.
0.5, y, d
Let v be (18/15 - -6)/(14/35). Let l = -11 - -7. Sort 3, l, -2, v in increasing order.
l, -2, 3, v
Let t = -67 - -109. Let m = -42 + t. Sort 5, -1, m in decreasing order.
5, m, -1
Let y = 48 + -49. Put -5, y, -3 in decreasing order.
y, -3, -5
Let j = 136 - 136. Let s be (3 - 1) + j/(2 - 0). Put -4, s, 11 in decreasing order.
11, s, -4
Let r = 2 + 2. Suppose -5*f - 2*k = -2*f - 26, 5*f + 4*k - 46 = 0. Let w = -15.4 - -11.4. Sort w, f, r.
w, r, f
Let z(o) = -o**3 - o**2. Let g be z(1). Let p = -28 - -41. Let r = p + -11. Sort r, 4, g in decreasing order.
4, r, g
Let x be 4*21/(-63)*(3 - 0). Put 3, x, -5, 5 in descending order.
5, 3, x, -5
Suppose m = -r - 18, -4*m - 53 = -5*r + 1. Let j = 16 + m. Let n be 3 - j - (-8)/(-2). Sort n, 1, 2 in ascending order.
n, 1, 2
Let f(x) = x**2 + 27*x - 58. Let b be f(-29). Let g = -14 + 6. Sort b, -4, g in descending order.
b, -4, g
Suppose 18*u = 16*u. Let s = -4.78 - -4.98. Sort -1/2, s, -4, u in decreasing order.
s, u, -1/2, -4
Let k = 610.4 - 595.654. Let w = 0.146 - k. Let j = -15 - w. Put j, 1/10, 3/8 in descending order.
3/8, 1/10, j
Let w = -0.025 - 0.375. Let u = 1.6 - w. Sort u, 0.2, -4, -0.2 in descending order.
u, 0.2, -0.2, -4
Let s = 49 + -50. Let k be s/(-5) + (-2 - 48/15). Sort -0.3, k, 5, 2/5 in decreasing order.
5, 2/5, -0.3, k
Let y = -107 + 110. Sort -4, 5, 2, y in decreasing order.
5, y, 2, -4
Let u(k) = -k**3 + 3*k**2 + 2. Let s be u(-3). Suppose -2*o = 5*o - s. Put 1, o, -3 in descending order.
o, 1, -3
Let v(t) = -t - 11. Let q be (-91)/(-35) - (-3)/(-5). Suppose -4*d + q*d + s - 17 = 0, -d = -4*s + 19. Let j be v(d). Put 4, j, 0.4 in descending order.
4, 0.4, j
Suppose -6*p = -109 + 115. Let r = 1.1 + -1. Let n = -0.2 + r. Sort p, n, 0 in decreasing order.
0, n, p
Let y = 44 - 94. Let u = y - -52. Put -0.2, u, 0.5, 0.3 in decreasing order.
u, 0.5, 0.3, -0.2
Let h = 11/6 + -3/2. Let z = -1/14 + 4/7. Let p = 285 - 286. Sort p, z, h in ascending order.
p, h, z
Let x(z) = -z**3 + 50*z**2 + 111*z - 366. Let r be x(52). Suppose -4*g = -3*g - 2. Sort r, g, 4 in increasing order.
r, g, 4
Let y be 320/16*4/10. Suppose -4*t - 24 = -y*t. Suppose 20 = -t*a + 2*a. Put a, 1, -1 in increasing order.
a, -1, 1
Let x be (4/10)/((-8)/(-360)*9). Put x, -44, -1 in ascending order.
-44, -1, x
Let u be (-12)/(-3) + 65/(-15). Put 3, -4, 5, u in decreasing order.
5, 3, u, -4
Let k = 8.5 - 1.4. Let q = 2.1 - k. Put -1, q, -16 in descending order.
-1, q, -16
Suppose 0 = -6*y + 34 + 50. Suppose -5*h = -y - 6. Sort -10, -2, h.
-10, -2, h
Let x be -1 + 1*(0 + 3). Suppose -358*l - 3*k = -361*l + 48, 70 = 4*l - k. Put 5, x, 0, l in ascending order.
0, x, 5, l
Let n be 0/(6*(-3)/6). Let w be (n - 1)/((-3)/12). Sort -4, w, -3, -5 in ascending order.
-5, -4, -3, w
Let h = -28 + 28. Suppose 4*x + j = 13, h*x + 5*j = 4*x - 7. Sort 0, x, 2 in increasing order.
0, 2, x
Let i = -10 - -14. Let m(k) be the third derivative of -k**4/24 - k**3/2 + 44*k**2. Let y be m(0). Sort i, 3, y in descending order.
i, 3, y
Suppose 2*u - 8 = 0, -u = 4*f + 3*u - 36. Suppose 24 = 3*d + 3*w, -5*d + d + 11 = -3*w. Let x = 9 - d. Sort x, f, 3 in increasing order.
3, x, f
Suppose 180*k - 52 = 232*k. Suppose n = 1, 0 = -s + n + n + 2. Put 35, s, k in descending order.
35, s, k
Let c = 2290 + -2285. Sort 2, c, 1, 56 in decreasing order.
56, c, 2, 1
Suppose o + 4*g - 5 = 0, 0 = -0*o - 2*o - 3*g + 10. Let p be 5/(-2)*(-4)/(-5). Sort p, 0, o in ascending order.
p, 0, o
Let l(t) = -t**3 + 6*t**2 + 11. Let s be l(6). Let i = s - 12. Let h be (-1 - 0)*(-1 - -6). Put h, -4, i in ascending order.
h, -4, i
Let t = 0.061 - -2.139. Sort 2/15, -4, t in ascending order.
-4, 2/15, t
Let o = -55 - -118. Let r = -62.6 + o. Put r, -2/9, -11 in decreasing order.
r, -2/9, -11
Suppose -3*o + 32 - 8 = 3*n, 5*o = -n + 20. Suppose -2 = -o*m - 2*p, 3*m - 8*m = p - 1. Let h be ((-3)/(-27))/(-1 - m). Sort -4, 3, h.
-4, h, 3
Let y = 0.05 + -0.4. Let v = 0.03 - -0.12. Let k = v - y. Sort k, -1/7, -0.4 in decreasing order.
k, -1/7, -0.4
Let x = -18.528 - 0.592. Let f = 0.12 + x. Let g = 15 + f. Sort -1, g, 5 in decreasing order.
5, -1, g
Let t = 9391/42 + -447/2. Let c be (-203)/(-217) - 6/(-93). Sort -3, t, -2, c in decreasing order.
c, t, -2, -3
Let h = -214 + 279. Sort -1/10, -2/15, h.
-2/15, -1/10, h
Let f = 11.942 + -0.142. Let b = f - 11. Sort b, -0.1, -1/6, 0.1 in descending order.
b, 0.1, -0.1, -1/6
Let d(y) = y**3 + 5*y**2 - 7*y - 3. Let c = 21 + -27. Let s be d(c). Sort 4, -11, s.
-11, s, 4
Suppose -106*k + 117*k = 0. Put k, -0.074, 4, -4 in increasing order.
-4, -0.074, k, 4
Suppose 0 = 19*z - 21*z + 6. Sort 12, z, -4.
-4, z, 12
Suppose w + 2*w + 6 = 0. Let i(l) be the first derivative of l**3/3 + 2*l**2 + 3*l + 37. Let d be i(w). Sort 0, d, 5 in increasing order.
d, 0, 5
Suppose 3*i + r = -21, -3*r = 2*i + r + 4. Let t = 5542 - 5547. Sort t, -2, i.
i, t, -2
Let d = 157 - 152. Put 4/5, d, -0.1, -0.3 in increasing order.
-0.3, -0.1, 4/5, d
Let d = 5.35 - 1.35. Put 40, 2/5, d in decreasing order.
40, d, 2/5
Suppose -21 = 2*p + 5*p. Let t be (-4)/((-60)/35) + 2 - 4. Sort -1/3, p, -4, t.
-4, p, -1/3, t
Let x(h) = -h**2 + 6*h. Let i be x(5). Suppose 3*b - i = 2*p, 4*b - p + 0*p = 0. Let k = -26 - -24. Put k, b, -5 in decreasing order.
b, k, -5
Let d be (4 - 33/12)/(9/(-12)). Let t(a) = -a**3 + 13*a**2 + 15*a - 16. Let m be t(14). Put d, m, -5 in descending order.
d, m, -5
Let k = 19.36 - 19.37. Sort -2, 1, k, -1 in decreasing order.
1, k, -1, -2
Let m = -3 + 4. Let a = -113 - -109. Sort a, 9, m in descending order.
9, m, a
Let u = 513 - 508. Put u, -2, 4/7 in decreasing order.
u, 4/7, -2
Let h = -281 - -281. Put 5, h, 2 in decreasing order.
5, 2, h
Let y = -23.5 + 23.34. Let l = -28.66 + 29. Let b = l - y. Put b, -2, 1 in increasing order.
-2, b, 1
Let s = 1 + -2. Let x be ((-7)/(-14) - (-18)/(-28))*-7. Let l = s + x. Sort l, -1, 4 in increasing order.
-1, l, 4
Let v be 1 + -4 + 3 + 3. Suppose v = 2*d - 3. Suppose 3*s - 3*i + 15 = 0, -5*i + 12 = s - 7. Put 9, s, d in decreasing order.
9, d, s
Let a be (-12)/(-8) + (-7)/(-182)*-35. Put -3/4, a, -9, -0.4 in increasing order.
-9, -3/4, -0.4, a
Let b = 0.00709 + -0.40709. Let j = -0.1 - 0.1. Sort -1.9, b, j in decreasing order.
j, b, -1.9
Let p = -15 + 11. Let a be -13 - ((0 + 0)/(-3) - -3). Sort 2, a, p in increasing order.
a, p, 2
Let s be (23 + 10)/(-3)*1. Sort -8, s, 5.
s, -8, 5
Let r = 114 + -111. Let d be 1/(((-10)/12)/(-5)). Suppose -2*y + 20 = -5*c - y, 3*y - d = -r*c. Sort 1, c, 3 in descending order.
3, 1, c
Let u = 40.6 - 44.6. Sort 5/6, u, -5/2, -1/2 in descending order.
5/6, -1/2, -5/2, u
Let x be -3*(14/6)/7. Let y = -1 - -4. Suppose u + 7 = -2*c + 5*c, 3*c - 15 = -y*u. Sort c, x, -4.
-4, x, c
Suppose 34*l - 12 = 30*l. Suppose 0 = -4*n - 14 - 6. Let r = n + 3. Put r, 4, l in increasing order.
r, l, 4
Suppose i = -2*q + 3, -3*q + i + 20 = 13. Let z(c) = 5*c**3 - c - 1. Let s be z(-1). Sort q, s, -1, 0.
s, -1, 0, q
Let s be (8 - 4) + 0 + -1. Let d(j) = j**2 - 5*j + 5. Let t be d(s). Let x = -0.14 - 0.06. Put 4, t, x in increasing order.
t, x, 4
Suppose 0 = 4*c, 0 = 4*g + 3*c - 8 - 12. Sort -91, 4, 2, g in ascending order.
-91, 2, 4, g
Let m = 0.156 - -4.884. Let w = -0.04 + m. Sort 0.3, w, 8.
0.3, w, 8
Let u = -260 - -265. Sort 2, -1, -9, u in descending order.
u, 2, -1, -9
Let q = 168 - 173. Put 1, -1, q in decreasing order.
1, -1, q
Let r = -105 + 105.3. Put 5, r, | {
"pile_set_name": "DM Mathematics"
} |
.
2, 7
Let r be 2/(-17) - (-252)/119. Let n(f) = f - 2*f + 5*f**2 - 4*f**r. What are the prime factors of n(6)?
2, 3, 5
Suppose 0 = -5*q + 4*u - 5, -19 = 4*q - 2*q - 5*u. Suppose 11 = q*j - 214. What are the prime factors of j?
3, 5
Let o(i) = -i**3 - 14*i**2 - 14*i - 12. Let u be o(-13). Let d be (21/35)/(u/(-5)). What are the prime factors of (-64)/d - (-2)/(-6)?
3, 7
Let j be (-24)/40 - (-697)/(-5). Let o = j + 227. Suppose 4*g + o = 7*g. What are the prime factors of g?
29
Let t be 3 + (0 - 0) + -3. Suppose -45 + t = -5*v. Suppose -4*h - 7 - v = 0, 5*w + 5*h = 150. What are the prime factors of w?
2, 17
Let v(q) = 3*q + 2. Let a be v(1). Suppose 4*h = a*d - d - 4, -2*h + 1 = -d. Suppose -87 = -d*n + 72. What are the prime factors of n?
53
Let r(k) = -k**2 + 5*k - 2. Let m be r(3). Let a = -50 - -58. Suppose i - a = -m*p, -5*i - 5*p + 0*p = -70. List the prime factors of i.
2
Let f(n) = 250*n - 7. Let a(z) = -z + 17. Let b be a(16). What are the prime factors of f(b)?
3
What are the prime factors of 65/390 - (5338/(-12))/1?
5, 89
Let r be (-16)/(-56) - (-47)/7. Suppose 2*b + 945 = r*b. Suppose -2*x + b = 5*x. What are the prime factors of x?
3
Suppose 0 = -5*c - 3*g + 45, 4*c - g + 2*g - 36 = 0. Let l be (11 - c)*7/2. Let d(o) = o**3 - 7*o**2 + 2*o - 5. List the prime factors of d(l).
3
Let f(o) = -o**2 - 26*o - 14. Let i = -27 - -9. List the prime factors of f(i).
2, 5, 13
Suppose 0 = -5*t - 2*y - 345 + 2246, -t + y + 383 = 0. List the prime factors of t.
3, 127
Suppose 6*f = 9 - 3. Let z(q) = 19*q - 4*q + 3*q. List the prime factors of z(f).
2, 3
Let i = 9 - 12. Let f be ((-8)/(-6))/((-2)/i). Suppose 0 = -2*m + 8, -f*u + 21 = -u - m. List the prime factors of u.
5
What are the prime factors of 380/(3 + 7 + -8)?
2, 5, 19
Let q = -1203 + 2165. What are the prime factors of q?
2, 13, 37
Let o = 465 + -82. Suppose -3*c + 2*q + 233 = 0, -6*q + o = 5*c - 4*q. List the prime factors of c.
7, 11
Let o(m) = 2*m**2 + 9*m + 4. Let u = 10 - 18. Let k be o(u). Suppose 5*c - 83 - k = 4*n, 12 = 4*n. What are the prime factors of c?
31
Let t(n) = -4*n - 37. Let g be t(-10). List the prime factors of ((-232)/6)/((-5)/g + 1).
2, 29
Let v = 8 + -8. Suppose v = -2*r - 15 + 237. What are the prime factors of r?
3, 37
Let x(u) = -u**2 + 4*u - 3. Let n be x(2). Suppose -y + 3*t - 5 = -n, 2*t = 2*y. Suppose r - 189 = -y*r. What are the prime factors of r?
3, 7
Let h = -336 + 913. What are the prime factors of h?
577
Let f(r) = -5*r - 11. Let h be f(-5). Let g = h - 16. List the prime factors of (1/g)/((-2)/16).
2
Suppose -3*r + f = -779, -5*r = -3*f - 2030 + 733. Suppose -2*w + 239 = q - 22, -w + r = q. What are the prime factors of q?
7, 37
Let m = -382 - -2985. What are the prime factors of m?
19, 137
Let h(r) = 2*r**3 - 4*r**2 + 10*r + 1. List the prime factors of h(6).
349
Suppose -4*j + 11*j = 0. Suppose j = -3*b - 43 - 5. List the prime factors of (-908)/(-16) - 4/b.
3, 19
Let l(y) = 221*y + 4. Let o(s) = 111*s + 2. Let b(h) = 6*l(h) - 13*o(h). What are the prime factors of b(-1)?
5, 23
Let p(c) = -205*c**3 + 2*c**2 + 2*c - 1. What are the prime factors of p(-1)?
2, 3, 17
Let a = 179 - 59. Let l = 274 - a. What are the prime factors of l?
2, 7, 11
Suppose 30*z - 71874 = -24*z. What are the prime factors of z?
11
Let i = 11 + -6. Suppose z - i = 18. What are the prime factors of z?
23
Let f = -903 + 1320. List the prime factors of f.
3, 139
Suppose 2*l + 8767 = 5*y, 4*y - 8*y + 7015 = -3*l. What are the prime factors of y?
1753
Suppose -13*w + 1254 = -8080. List the prime factors of w.
2, 359
Let d(o) = o - 13. Let f be d(19). Suppose -2*z - 196 = -3*l, 2*l - z = -f*z + 156. What are the prime factors of l?
2, 17
Let x(k) be the first derivative of -3*k + 11 + 2/3*k**3 - 1/2*k**2. What are the prime factors of x(3)?
2, 3
Suppose 2*k - 676 - 1438 = -5*r, -2*r - 5*k = -833. What are the prime factors of r?
2, 53
Let x = 6047 - 3096. What are the prime factors of x?
13, 227
Let z(p) = -p + 9. Let r be z(7). Suppose 0 = -4*c - 3*n + 58, c + r*n - 5 - 7 = 0. Suppose -c = -2*m + m. List the prime factors of m.
2
Suppose -4*m = -5*r + 39, 6*r - 36 = 4*m + 2*r. Let l be ((-6)/5)/(m/20). Suppose -l*f = -0*f - 60. List the prime factors of f.
3, 5
Let s(t) = -18*t - 56. Let j(w) = -13*w - 55. Let v(f) = -4*j(f) + 3*s(f). Let u = 0 - 0. What are the prime factors of v(u)?
2, 13
Suppose 4*v = 9*v - 10. What are the prime factors of (-8274)/(-54) + v/(-9)?
3, 17
Suppose 3*j = 11 + 1189. List the prime factors of j.
2, 5
Let r be (-6)/(-14) + (-344)/(-14). Let g = r + -2. What are the prime factors of g?
23
Let j(a) = 10*a**3 - 3*a**2 + a - 16. What are the prime factors of j(3)?
2, 5, 23
Suppose 0 = 4*z + z + q - 13, -4*z + 2*q = -16. Suppose -z*f + 404 = 170. Suppose -3*c + 2*k = -2 - f, 2*c - 3*k - 50 = 0. List the prime factors of c.
2, 7
Let k(d) = d - 8. Suppose 4*n - t = 40, -35 = -2*n - 3*t - 1. Let v be k(n). Suppose -2*r + 31 = 2*z + v, -2*r + 2*z + 24 = 0. List the prime factors of r.
13
Let a(d) = -d**3 + 6*d**2 - 7*d - 9. Let x be a(4). Let w(z) = z**3 + 5*z**2 - 3*z + 5. What are the prime factors of w(x)?
2, 5
Let t = 1552 - 943. List the prime factors of t.
3, 7, 29
Let p be (-2)/1*(-6 + (-1575)/14). Suppose -j = -2*a - 233, -8*j + 7*j - 2*a = -p. What are the prime factors of j?
5, 47
What are the prime factors of 2356 + (0 + 3)*1?
7, 337
Let r(q) = 6*q - 1. Let u be r(-4). Let d = -17 - u. List the prime factors of d/(-6)*14*-3.
2, 7
Let h(y) = -5183*y - 90. What are the prime factors of h(-1)?
11, 463
Suppose 38*i = 29*i + 3267. List the prime factors of i.
3, 11
Suppose -3*d - 25 = -2*a, -5*d + 4*a - 50 = -a. Let p be d/20 + (-26)/(-8). Suppose p*w - 15 = 90. What are the prime factors of w?
5, 7
Suppose 0*i + 2*i = 0. Suppose z - 4*z + 81 = i. What are the prime factors of z/18 + 9/2?
2, 3
Let t be 2/2*2 - 22. Let p = 30 - 33. List the prime factors of p/(-2) - 70/t.
5
Suppose 0 = -2*u + 5*d + 711, -d - 1 = 2. Suppose 4*s + 96 = u. What are the prime factors of s?
3, 7
What are the prime factors of 16*(7 + (-309)/(-12))?
2, 131
Let r = 2610 + -1526. What are the prime factors of r?
2, 271
Let y = -1163 + 1767. Suppose 0*f - 3*f = m - 110, -3*f - y = -5*m. List the prime factors of m.
7, 17
Let v = -24 - -23. What are the prime factors of 104 + (v - (-8 - -4))?
107
Suppose -5 = -4*r + 7. Suppose -r*l + 4*l = 74. List the prime factors of l.
2, 37
Let j(h) = -h + 1. Let g be j(-3). Suppose -5*t = g*t - 414. What are the prime factors of t?
2, 23
Let c(j) = 2*j**2 + 5*j - 6. Let k be c(-6). Let r = k + -24. List the prime factors of r.
2, 3
Let f = -5 - -8. Suppose 4*n + f = 11. Suppose n*m - 17 = m. What are the prime factors of m?
17
Let q(i) = -6*i + 4. Let o be q(-4). Suppose -4*m + o = -4*l, -3*l + 3*m + 15 = -6*l. List the prime factors of -9*3/l*2.
3
Let v(r) = 7*r**2 + 11*r + 6. Let q be v(-5). Let m = q + -84. What are the prime factors of m?
2, 3, 7
Let q(d) = d**2 - 2*d - 12. Suppose -8 = 4*j + 24. List the prime factors of q(j).
2, 17
Let z = -30 - -27. Suppose -4*s + 3 = -5*s. What are the prime factors of -27*6/s + z?
3, 17
Let s(l) = 3299*l**2 - 8*l + 8. List the prime factors of s(1).
3299
List the prime factors of 2 - (2 + -2) - (-2109)/19.
113
Suppose 5*l - 18*l + 2977 = 0. List the prime factors of l.
229
Suppose -5*x - 2*q + 11 = -5*q, 4*x + 2*q = 0. Let d be x + (-3 + 2)/(-1). Suppose -a = -c + 26, 3*a = d*c + 4*a - 40. What are the prime factors of c?
2, 11
Suppose 0 = 3*g - 9, -v = -g - 0*g - 7. Let r(f) = f**3 - 11*f**2 + 12*f - 8. List the prime factors of r(v).
2, 3
Let g = -100 - -76. List the prime factors of (g/30)/(6/(-1665)).
2, 3, 37
Let b = -3214 + 1474. Let h be (-3)/(-2)*b/9. What are the prime factors of 1/3 - h/30?
2, 5
Let f be 2199/(-21) - (-10)/(-35). Let v = f + 169. What are the prime factors of v?
2
What are the prime factors of (-1381 - -2)*(-9 - -8)?
7, 197
Let u(t) = -33 + 122 + 133 + 8*t + 31. List the prime factors of u(0).
11, 23
Suppose 7*r - 4*r = 15. Let j(b) = -b**2 + 5*b + 7. Let n be j(6). Suppose 3*z - 2*z + 3*c + n = 0, r*c + 1 = -2*z. What are the prime factors of z?
2
Suppose -62 = -3*w + w + 4*l, -12 = -4*l. Suppose -4*h + 169 = w. List the prime factors of h.
3, 11
Suppose -s + 0*s + 29 = | {
"pile_set_name": "DM Mathematics"
} |
t y = -0.259 + r. What is y rounded to two dps?
-0.21
Let x = -989 - -988.419. Round x to 1 dp.
-0.6
Let o(h) = -7*h**3 - 5*h**2 + 9*h + 8. Let d be o(-5). What is d rounded to the nearest 100?
700
Let m = 35.71995091 + -35.72. What is m rounded to six decimal places?
-0.000049
Let k be (2 - 5) + (3 - -10). Suppose -p = -4*q - 4*p + k, -3*q = p - 5. Let o be q*1200*10*4. What is o rounded to the nearest ten thousand?
50000
Let v = 16919 - 16919.10631. Let d = 0.093 + v. Round d to 3 decimal places.
-0.013
Let h = 245 + -525. Let p = h - -280.0453. What is p rounded to two dps?
0.05
Let b = -630829.141 - -630378.140337. Let g = b - -451. What is g rounded to 4 dps?
-0.0007
Let q = 461302969.20000067 - 461302972. Let t = -2.8 - q. Round t to 7 dps.
-0.0000007
Let c = -8.5 + 8.5000319. Round c to 6 decimal places.
0.000032
Let c(w) = -631733*w**2 - 5*w - 4. Let j be c(-4). Let i = -17107716 - j. Let z be i/7 - (-20)/35. What is z rounded to the nearest 1000000?
-1000000
Let u = -73150.470361 + 73145.93. Let i = -4.54 - u. Round i to 5 dps.
0.00036
Let d = 524311.89426711 - -22.11753289. Let f = -524394 + d. Let w = 60 + f. What is w rounded to 3 dps?
0.012
Suppose 5*w + 10 = -g - 11, 0 = -2*w - 4. Let i be (-11)/g + (-1 - 400*-29). What is i rounded to the nearest one thousand?
12000
Let w = 775.888527 + -727.88847. Let r = -124 - -172. Let f = w - r. Round f to 5 dps.
0.00006
Let x = -47.569 - -0.069. Let c = 47.50000453 + x. What is c rounded to seven dps?
0.0000045
Let y = 102173.23176614 - 201.43168114. Let o = -101971 + y. Let z = o - 0.8. Round z to 5 decimal places.
0.00009
Let z = 20518 - 12318. What is z rounded to the nearest ten thousand?
10000
Let g = -493 + 493.267. Let u = g - -0.16. What is u rounded to 2 decimal places?
0.43
Let x = -2201737 + 2201735.100022. Let u = -2.8 - -0.9. Let b = x - u. What is b rounded to 5 dps?
0.00002
Let v = -120 - -75. Let z be ((-96)/10)/(v/3450). Round z to the nearest one hundred.
700
Let j = 0.82 + -2.82. Let u = 11693009 - 11693006.9999996. Let d = u + j. Round d to 6 dps.
0
Let t = -26 + 25.35. Let v = -9.6 + t. Let a = -11 - v. Round a to 1 dp.
-0.8
Let n = 1854.9357 - 1855. Round n to three dps.
-0.064
Let d = 0.2516 - -134.8484. Let s = -162 - -290. Let w = s - d. Round w to zero decimal places.
-7
Let k = -1058.5 - -1058.50009438. Round k to six decimal places.
0.000094
Let z = -14.4 + 14.39999995. What is z rounded to 7 dps?
-0.0000001
Suppose 0 = -5*h - 3*v - 20, 3*h + 3*v - 5*v = -12. Let q(f) = -f**2 - 9*f - 2. Let m be q(h). Round m to the nearest ten.
20
Suppose -30*u = -13*u + 1615. What is u rounded to the nearest one hundred?
-100
Let v be (56/(-6))/((-25)/(-1050)). What is v rounded to the nearest one hundred?
-400
Let z = -153 + 148.45. Let j = z - 0.13. What is j rounded to the nearest integer?
-5
Let a = -94 + 182.2. Let s = a - 88. What is s rounded to the nearest integer?
0
Let b(f) = 9*f**3 - 4*f**2 + 2*f + 12. Let r be b(5). Let i = -2242 + 3749. Let m = r - i. Round m to the nearest 100.
-500
Let r = -198.246 + 0.246. Let v = -197.999818 - r. What is v rounded to 4 dps?
0.0002
Let s = -2387.69 - -2240.611. Let c = -146.665 - 0.335. Let d = c - s. Round d to 2 dps.
0.08
Let y = -0.789 - -2.208. What is y rounded to one decimal place?
1.4
Let t = -0.7 - 40.3. Let c = t - -31.5. Round c to the nearest integer.
-10
Let d = -0.04 + -0.06. Let r = 37514 - 37513.899948. Let f = r + d. What is f rounded to 5 dps?
0.00005
Suppose 6*k - 6 = 4*k. Suppose 0 = -5*i - i + 30. Suppose d = k, d + d = i*r - 6999994. What is r rounded to the nearest 1000000?
1000000
Let a = 917547.0181906 + -0.0181906. Let v = 917558.10153 - a. Let j = -11.1 + v. What is j rounded to four decimal places?
0.0015
Let q = -215566 + 215568.54111. Let s = q - 2.54. What is s rounded to 4 decimal places?
0.0011
Let y = -1.41 + -115.59. Let n = y - -117.0000083. Round n to six dps.
0.000008
Let a = 2318.821 - 2320. Let p = a - -1.13. What is p rounded to two decimal places?
-0.05
Let y = -1648307.07000097 + 1648308.32. Let g = 9.92 - 8.67. Let b = g - y. Round b to 7 decimal places.
0.000001
Let f = -1198 - -1213.11. Let i = f - 0.91. Let j = -12.22 + i. What is j rounded to 1 dp?
2
Let p = 59.29 - 59.26517. What is p rounded to three decimal places?
0.025
Let b = 0.0147 - 6.2947. What is b rounded to 0 dps?
-6
Let j = 2.75286808 - 2.753. Round j to six dps.
-0.000132
Let o be 33/(-165) - 590002/(-10). Round o to the nearest one hundred thousand.
100000
Suppose 0 = -7*c + 38375 - 8415. What is c rounded to the nearest one thousand?
4000
Let q = -3247.7169 - -3390.709. Let m = q - 143. Round m to three decimal places.
-0.008
Let l = 0.8 - 18.8. Let f = l - -17.9999997. Round f to six dps.
0
Let a = -107 - -73. Let x = a - -33.9999955. Round x to 5 decimal places.
0
Let z = 326 + -357.3. Round z to the nearest ten.
-30
Let h = -222 + 190.1. What is h rounded to one decimal place?
-31.9
Let x be (1441842/(-252) + 2/12)*-42. What is x rounded to the nearest ten thousand?
240000
Suppose -34*q + 6420000 = -36*q. Round q to the nearest one hundred thousand.
-3200000
Let j(d) = d**3 + 5*d**2 - 3*d - 10. Let l be j(-5). Suppose l*p - 80 = 1100. Round p to the nearest ten.
240
Let h = -14.4 + 15. Let s = h - 0.599892. Round s to five decimal places.
0.00011
Let w = 386 + -87. Let d = 299.0000131 - w. What is d rounded to 6 dps?
0.000013
Let w = 4565 - -41995. Let z = -245560 + w. Round z to the nearest ten thousand.
-200000
Let q = -0.4 - -0.3. Let j = 76 + -76.1. Let m = q + j. What is m rounded to zero decimal places?
0
Let y = -23096 + 23115.9955. Let u = y + -20. What is u rounded to 3 decimal places?
-0.005
Let a = 0.929 - -0.065. What is a rounded to 1 dp?
1
Let n = 8.8 - 8. Let m = n - 0.8000012. Round m to 7 dps.
-0.0000012
Let w = 35.100001272 - 35.1. Round w to 6 dps.
0.000001
Let f = 1.11 + -0.369. Round f to two decimal places.
0.74
Let y = 2331 + -2195.9. What is y rounded to the nearest integer?
135
Suppose -5*h + 3*z - 6905000 = 0, 3*z = -2*z. What is h rounded to the nearest one hundred thousand?
-1400000
Let f = 2.6 + -2.6000492. Round f to six decimal places.
-0.000049
Let k = -54.16 - 0.84. Let z = -55.000145 - k. What is z rounded to five decimal places?
-0.00015
Let u be ((-22872)/(-14))/((-1)/(-7)). Let y = -139436 + u. Round y to the nearest 10000.
-130000
Let d = -116.2 + 173.1. What is d rounded to the nearest 10?
60
Let z = 24240.77 - 24240.3700044. Let u = 34.6 - 35. Let v = u + z. Round v to 6 dps.
-0.000004
Let q = 1350 - 1351.039. Round q to one decimal place.
-1
Let c = 1064.0176 + -1064. Round c to 2 dps.
0.02
Let x = 0.038 - 5.538. Let z = 5.500515 + x. What is z rounded to 4 dps?
0.0005
Let k = -29.1 - -290.1. Let f = k + -261.00000191. Round f to 7 decimal places.
-0.0000019
Let x = 20.019 - 20. Let y = x + 1.021. Let t = 0.09 - y. Round t to one dp.
-1
Let z(r) = 5*r**2 - 13*r - 32. Let p be z(-9). Round p to the nearest 100.
500
Let c = 177.9998 - 178. What is c rounded to five dps?
-0.0002
Suppose 2 = 4*t - 2. Let u be -2500*(t - (-4 - 27)). What is u rounded to the nearest ten thousand?
-80000
Let i = -100 - -59. Let r = -120 - i. Let q = 78.99922 + r. Round q to four decimal places.
-0.0008
Suppose 285 = -3*b + 2259. Suppose 14*s - b = 12*s. Round s to the nearest 100.
300
Let g(a) be the third derivative of -a**4/2 - 20*a**3/3 - a**2. Let r be g(15). Round r to the nearest 1000.
0
Let c = -0.102579 - -23.083779. Let v = c + -3.992. Let s = -19 + v. What is s rounded to 3 dps?
-0.011
Let x = 2116839820 + -2116839868.99999916. Let d = -473 + 424. Let v = d - x. Round v to 7 dps.
-0.0000008
Let u(w) = -12*w**2 - w - 1. Let m be u(-1). Let i = 19 + m. Suppose -i*a = -3*a - 30000. Round a to the nearest 1000.
8000
Let d(o) = 15234*o**2 - 43*o - 320. Let q be d(-8). Round q to the nearest 100000.
1000000
Suppose v + f - 386405 = 0, -5*v + f - 1545605 = -9*v. What is v rounded to the nearest ten thousand?
390000
Let s = -0.18 - 12.82. Let z = 1514620.00001 + -1514633. Let x = s - z. What is x rounded to 6 decimal places?
-0.00001
Let j(x) be the third derivative of 0*x + 19333/8*x**4 - 5/6*x**3 + 0 - 2*x**2. Let r be j(-5). What is r rounded to the nearest one hundred thousand?
-300000 | {
"pile_set_name": "DM Mathematics"
} |
34
-5 (base 9) to base 16
-5
What is -85 (base 10) in base 13?
-67
What is 6 (base 8) in base 4?
12
What is -174 (base 8) in base 10?
-124
What is -17 (base 16) in base 7?
-32
What is 1303 (base 4) in base 13?
8b
What is 1152 (base 6) in base 9?
345
What is -50 (base 10) in base 16?
-32
Convert 11 (base 7) to base 2.
1000
Convert 0 (base 9) to base 2.
0
Convert 1 (base 3) to base 16.
1
1 (base 8) to base 6
1
-1 (base 15) to base 12
-1
What is 6 (base 15) in base 7?
6
1 (base 14) to base 16
1
-41 (base 8) to base 7
-45
-2 (base 16) to base 14
-2
Convert b (base 16) to base 5.
21
What is -28 (base 16) in base 5?
-130
Convert 155 (base 6) to base 3.
2122
32 (base 5) to base 9
18
Convert 2132 (base 5) to base 15.
147
What is 13 (base 12) in base 13?
12
Convert -11 (base 12) to base 3.
-111
217 (base 8) to base 3
12022
143 (base 5) to base 11
44
Convert -117 (base 10) to base 2.
-1110101
Convert 185 (base 11) to base 16.
d6
3 (base 15) to base 4
3
13 (base 7) to base 2
1010
What is 33 (base 10) in base 12?
29
-99 (base 12) to base 7
-225
6 (base 11) to base 6
10
What is 10f (base 16) in base 10?
271
What is 0 (base 4) in base 6?
0
a (base 13) to base 7
13
What is -3 (base 11) in base 13?
-3
Convert -4a (base 12) to base 7.
-112
-14 (base 6) to base 4
-22
Convert 0 (base 6) to base 5.
0
Convert -60 (base 11) to base 7.
-123
Convert 0 (base 10) to base 9.
0
Convert -1b7 (base 14) to base 4.
-11211
1210 (base 5) to base 8
264
Convert 247 (base 9) to base 5.
1310
1053 (base 6) to base 10
249
0 (base 10) to base 14
0
Convert a (base 13) to base 15.
a
Convert 0 (base 10) to base 11.
0
17 (base 14) to base 5
41
-10 (base 7) to base 3
-21
Convert 140 (base 10) to base 7.
260
What is 3 (base 4) in base 13?
3
26 (base 7) to base 11
19
Convert -4 (base 13) to base 10.
-4
-111 (base 2) to base 9
-7
c (base 14) to base 7
15
-2132 (base 4) to base 2
-10011110
Convert -320 (base 4) to base 11.
-51
-5 (base 6) to base 4
-11
What is -1 (base 14) in base 16?
-1
Convert 30 (base 8) to base 2.
11000
110 (base 3) to base 12
10
-3 (base 10) to base 3
-10
Convert 13 (base 4) to base 12.
7
Convert 22 (base 12) to base 8.
32
-4 (base 11) to base 14
-4
-41 (base 6) to base 8
-31
What is 213 (base 4) in base 14?
2b
Convert -21 (base 5) to base 14.
-b
What is -61 (base 7) in base 6?
-111
Convert -30 (base 4) to base 2.
-1100
What is -7 (base 15) in base 14?
-7
3 (base 10) to base 15
3
What is 2 (base 9) in base 3?
2
What is -21 (base 8) in base 3?
-122
Convert -14 (base 6) to base 16.
-a
Convert -40 (base 14) to base 11.
-51
What is -47 (base 13) in base 12?
-4b
What is -134 (base 6) in base 10?
-58
-28 (base 10) to base 12
-24
5d (base 15) to base 10
88
Convert 26 (base 14) to base 2.
100010
What is 0 (base 7) in base 5?
0
-144 (base 6) to base 11
-59
What is 1063 (base 7) in base 14?
1da
155 (base 6) to base 9
78
What is 0 (base 2) in base 12?
0
21 (base 10) to base 7
30
What is 3 (base 12) in base 7?
3
What is -101011 (base 2) in base 10?
-43
-61 (base 12) to base 4
-1021
What is 24 (base 7) in base 6?
30
What is -6 (base 7) in base 16?
-6
Convert 2013 (base 4) to base 10.
135
Convert 4 (base 13) to base 10.
4
-51 (base 6) to base 14
-23
What is -100 (base 4) in base 12?
-14
-5 (base 14) to base 15
-5
Convert -1120 (base 3) to base 11.
-39
What is 2 (base 8) in base 7?
2
What is 1 (base 13) in base 10?
1
What is -53 (base 14) in base 8?
-111
312 (base 4) to base 12
46
What is 3 (base 4) in base 6?
3
What is 4 (base 12) in base 11?
4
Convert -231 (base 4) to base 7.
-63
Convert -2 (base 15) to base 6.
-2
What is 18 (base 15) in base 14?
19
Convert 23 (base 9) to base 12.
19
Convert 4f (base 16) to base 2.
1001111
Convert -3 (base 5) to base 7.
-3
0 (base 9) to base 10
0
Convert 11 (base 10) to base 12.
b
-7 (base 8) to base 6
-11
Convert -32 (base 5) to base 9.
-18
What is -a (base 16) in base 2?
-1010
Convert 65 (base 12) to base 15.
52
4 (base 6) to base 10
4
What is -28 (base 13) in base 4?
-202
-92 (base 11) to base 16
-65
What is -2 (base 14) in base 8?
-2
Convert 0 (base 6) to base 11.
0
1 (base 6) to base 8
1
Convert -282 (base 9) to base 13.
-152
Convert 11 (base 11) to base 4.
30
-17 (base 13) to base 9
-22
What is -6 (base 12) in base 11?
-6
What is 3 (base 6) in base 8?
3
-1 (base 7) to base 3
-1
Convert 0 (base 11) to base 12.
0
What is -5 (base 8) in base 10?
-5
Convert 2b (base 12) to base 11.
32
What is 363 (base 7) in base 10?
192
What is 3 (base 4) in base 2?
11
What is -10 (base 4) in base 8?
-4
5 (base 14) to base 10
5
What is -2 (base 15) in base 7?
-2
-6 (base 10) to base 3
-20
1 (base 8) to base 13
1
253 (base 12) to base 6
1343
Convert -1 (base 11) to base 15.
-1
Convert 88 (base 13) to base 3.
11011
Convert 9 (base 15) to base 4.
21
-220 (base 4) to base 5
-130
What is 1 (base 10) in base 15?
1
What is 47 (base 16) in base 3?
2122
Convert 1a (base 11) to base 5.
41
What is d (base 14) in base 15?
d
220 (base 4) to base 6
104
What is -98 (base 10) in base 12?
-82
19 (base 10) to base 14
15
-110 (base 2) to base 8
-6
Convert 234 (base 5) to base 7.
126
145 (base 6) to base 9
72
Convert -14 (base 7) to base 12.
-b
What is 1a (base 16) in base 9?
28
-404 (base 7) to base 8
-310
25 (base 6) to base 2
10001
What is 2 (base 7) in base 13?
2
-145 (base 11) to base 9
-208
Convert -2 (base 11) to base 9.
-2
What is -145 (base 6) in base 9?
-72
Convert -14 (base 8) to base 6.
-20
Convert 2 (base 5) to base 4.
2
Convert 9 (base 12) to base 8.
11
-7 (base 13) to base 8
-7
Convert 10 (base 6) to base 16.
6
Convert -b (base 12) to base 7.
-14
Convert 14 (base 6) to base 16.
a
What is -2 (base 15) in base 5?
-2
Convert -1100 (base 2) to base 3.
-110
What is 4 (base 9) in base 15?
4
2 (base 6) to base 13
2
90 (base 13) to base 11
a7
What is -1 (base 8) in base 16?
-1
Convert 10001 (base 2) to base 7.
23
Convert 11 (base 6) to base 10.
7
What is 6 (base 10) in base 2?
110
-7b (base 16) to base 3
-11120
What is -56 (base 8) in base 16?
-2e
-63 (base 12) to base 6
-203
Convert 251 (base 11) to base 8.
452
What is 202 (base 4) in base 7?
46
10 (base 2) to base 9
2
Convert 12 (base 7) to base 9.
10
-a9 (base 15) to base 10
-159
-25 (base 11) to base 9
-30
Convert -100010 (base 2) to base 10.
-34
-46 (base 10) to base 7
-64
313 (base 7) to base 2
10011101
-17 (base 11) to base 9
-20
Convert -20 (base 9) to base 2.
-10010
What is 44 (base 10) in base 8?
54
-2 (base 15) to base 2
-10
Convert 40 (base 7) to base 13.
22
Convert 3 (base 8) to base 6.
3
Convert -202 (base 4) to base 6.
-54
14 (base 7) to base 2
1011
Convert -b (base 12) to base 14.
-b
-5 (base 16) to base 12
-5
What is -39 (base 12) in base 14?
-33
1 (base 5) to base 6
1
-100001 (base 2) to base 12
-29
What is 9 (base 15) in base 14?
9
Convert 1 (base 12) to base 5.
1
Convert 0 (base 12) to base 13.
0
Convert 7 (base 12) to base 13.
7
What is -4 (base 15) in base 9?
-4
Convert 12 (base 5) to base 9.
7
Convert 3a (base 15) to base 6.
131
-7 (base 8) to base 13
-7
0 (base 12) to base 8
0
What is -1011 (base 2) in base 8?
-13
What is 3 (base 10) in base 7?
3
-22 (base 3) to base 8
-10
What is -34 (base 16) in base 15?
-37
What is -12 (base 4) in base 8?
-6
-2 (base 10) to base 8
-2
Convert -62 (base 12) to base 3.
-2202
What is 21 (base 5) in base 3?
102
Convert 2111 (base 3) to base 2.
1000011
-4 (base 12) to base 6
-4
Convert -3 (base 10) to base 6.
-3
-17 (base 10) to base 4
-101
0 (base 15) to base 11
0
What is -7 (base 12) in base 8?
-7
Convert 13 (base 11) to base 10.
14
Convert 0 (base 12) to base 4.
0
Convert 88 (base 11) to base 9.
116
55 (base 9) to base 2
110010
What is 5 (base 14) in base 3?
12
What is -53 (base 7) in base 16?
-26
2001 (base 3) to base 12
47
Convert 29 (base 13) to base 11.
32
Convert -410 (base 7) to base 13.
-128
-10 (base 6) to base 13
-6
2 (base 6) to base 12
2
Convert -14d (base 14) to base 7.
-526
Convert 31 (base 16) to base 14.
37
Convert 2 (base 15) to base 7.
2
What is 3b (base 14) in base 9?
58
What is -2 (base 9) in base 5?
-2
Convert 4 (base 8) to base 5.
4
What is 3 (base 16) in base 11?
3
Convert 13 (base 9) to base 10.
12
Convert -20 (base 13) to base 12.
-22
What is 2 (base 9) in base 2?
10
What is -e (base 16) in base 15?
-e
Convert 1100 (base 3) to base 7.
51
Wha | {
"pile_set_name": "DM Mathematics"
} |
le of j/n + 1176/39 and 2?
30
Let x = 319876477/468 + -683497. What is the common denominator of -127/2600 and x?
23400
Let y = -98 + 99. Let g(f) = 22*f**2 - 4*f - 2. Calculate the least common multiple of g(y) and 399/5 + 1/5.
80
Let m = -5545 + 94229/17. Find the common denominator of m and 95/(-260)*(-6)/(-6).
884
Calculate the common denominator of 820/28*(-84)/(-1400) and -27/1022.
5110
What is the least common multiple of 335 and (54/27)/(6/45)?
1005
Let t = 13306 + -598741/45. Calculate the common denominator of -47/830 and t.
7470
Let u be (-4)/6 - 226/(-6). Let v = -6090 - -6107. Let j = u - v. Calculate the smallest common multiple of j and 10.
20
Let i = -7 + 26. Let h(o) = -o + 2. Let d be h(-3). Let b = i + d. What is the least common multiple of 15 and b?
120
Let z = 41208 + -13557415/329. What is the common denominator of z and -57/49?
2303
Let p(w) = w**2 + 24*w + 13. Let q be p(-21). What is the least common multiple of 7 and 5 - -1 - q/10?
77
Suppose 8*l = 5*l - 882. Let q = l + 2046/7. Find the common denominator of 64/35 and q.
35
Let j be 4 - ((-1697969)/5456 - (-26)/(-143)). Let f = -10309187/992 - j. Let p = f - -10709. Calculate the common denominator of p and 49/20.
160
Let y = 11975/756 - 17/189. What is the common denominator of 79/70 and y?
140
Let v be 11/(-33) - 92/3. Let t = 33 + v. Calculate the lowest common multiple of t and 54.
54
Let j = -21759/20 - -2177/2. Calculate the common denominator of (-15)/24*((-54)/(-15) - -1) and j.
40
Let k(h) = 2*h**2 - 6*h - 27. Let m be k(-4). Suppose -m*v + 2989 = -1187. Calculate the lowest common multiple of 16 and v.
144
Let g(o) = o**3 - 22*o**2 - 81*o + 159. What is the smallest common multiple of 7554 and g(25)?
22662
What is the common denominator of -103/290 and 179/2148*(-93 - 2)?
1740
Suppose 342 = 4*v + 5*z, 11*v + 4*z - 432 = 6*v. Calculate the least common multiple of 72 and v.
792
Suppose -4*b - 26 + 30 = q, 0 = -5*q + 5*b + 20. Suppose 6*t = 2*t - 12, -2*o = 4*t - 26. What is the common denominator of -85/2 and (q + o/8)/((-42)/(-8))?
14
Let v(g) = g**2 + 3*g + 2. Let o = 90 + -37. Suppose -o*d + 51*d + 152 = 0. What is the lowest common multiple of d and v(-5)?
228
Let j(a) = -21*a + 168. Let f be j(21). Let n = f - -411. Calculate the least common multiple of n and 12.
276
Let z be (4/3 + -2)*-3. Suppose 450*f = 1365*f - 10065. What is the least common multiple of -1*1*(-4)/z and f?
22
Suppose 126 = 8*m + m. Suppose -m = -g + d, -5*g - 2*d = -d - 70. Suppose -2*x = g - 26. Calculate the smallest common multiple of x and 14.
42
Let c = -81709/43470 - 4/3105. Calculate the common denominator of -149/120 and c.
840
Let d = 1/1613 - -156431/48390. Let l be 3 - 2*(-2019)/24. Let g = 148 - l. What is the common denominator of d and g?
60
Find the common denominator of 91/50 and ((-267)/38092)/((15/(-82))/(-5)).
5350
Let y = 338337/157 - 2155. Find the common denominator of (159/(-15))/(16/20) and y.
628
Suppose -3*t + 14 = -5*q, -288*t + 291*t = -2*q + 28. Calculate the smallest common multiple of q and 2018.
2018
Suppose -k - 3*o + 8 = 0, -18 = -4*k + 3*o - o. Suppose -18 - 43 = -2*w + k*u, -4*w + 131 = -u. Let s = w + 17. What is the smallest common multiple of 4 and s?
100
Let f = 13367 + -13301. Calculate the least common multiple of 627 and f.
1254
Let n = 4984801/484 - 10299. Find the common denominator of -19/33 and n.
1452
Let f = 684 - 3478/5. Suppose 9*n = -11*n + 200. Find the common denominator of f and ((-42)/n - -4) + (-220)/(-25).
5
Let i = -186931/185 - -5051/5. Calculate the common denominator of 23/74 and i.
370
Let i = -1480 + 301. Calculate the common denominator of 10/16*i*10/(-6750) and -115/54.
1080
Let y = -943654807734091277/49988 - -18877626786507. Let o = 25/12497 + y. Let n = o - 1390. Calculate the common denominator of 32/3 and n.
12
What is the least common multiple of 249 and 9 + 546/(-60) - (-5102)/20?
21165
Suppose 53*b - 58*b - 6930 = 0. Find the common denominator of -45 and (-1761)/b - (-8)/(-12).
154
Let t be 54/(-81)*6/8*2. Calculate the common denominator of 103/22 and (t + (-225)/(-230))*(-3)/(-33).
506
Let g = 188/5 + -449/15. Let c be (1*3)/(-1 + 28/22). Let v = 6 + c. What is the common denominator of g and v?
3
Find the common denominator of -95/54 and 5545/(-180) + 15 + 15.
108
Let t(i) = -i**3 + 19*i**2 - 66*i + 224. What is the least common multiple of 196 and t(14)?
1960
Let x be (-50 + 15 + -9)*3/2. Find the common denominator of x/(-11) - 334/20 and -53/36.
180
Let l = -381028/45 - -8468. What is the common denominator of 151/90 and l?
90
Suppose -5*y + 25 = 2*g, 16*g - 14*g - 29 = -y. What is the lowest common multiple of 37 and (-20)/((-200)/g)*8/6?
74
What is the common denominator of (3 + 692/60)/(7448/(-245)) and 103/24?
456
Let c be ((-12)/(-10))/(4*5/50). Let h be 4 - c*(-50)/(-5). What is the common denominator of -25/11 and (-17)/((-85527)/4518) - (-4)/h?
473
Let d = 28/1837 - -198665/102872. What is the common denominator of (-1)/(5/(-3) - -4) and d?
56
Let m = 36/31 + -1631/310. Suppose 2*c + 258 = 3*y + 46, 16 = 4*y. Calculate the common denominator of ((-2 - -1)/((-4)/c))/(-3) and m.
30
Let j = -332 - -412. Calculate the least common multiple of 48 and j.
240
What is the common denominator of (-13)/39 + (-1)/((-16)/(-70)) and -1 + (-338)/(-96) + 0?
48
Let d = -18780737/180 - -104337. Calculate the common denominator of -151/252 and d.
1260
Let n be (-1 - (-6)/(-30))/((-6)/(-20)). What is the least common multiple of (22/(-33))/(n/144) and 80?
240
Let b = -4/183 - 683/10614. What is the common denominator of b and (-47)/(-7)*35/50?
290
Let t be 2 - ((-12)/(-9))/(1/18). Calculate the lowest common multiple of 64 and (1 + -12)*36/t.
576
Let i = 16261417/3190 - 25489/5. Find the common denominator of -19/14 and i.
4466
Let w = 54340 - 25321. Let p = 870433/30 - w. Find the common denominator of p and -75/16.
240
Suppose 390 = 4*f + 2*j, -18*f = -22*f + 2*j + 386. Suppose 0 = -3*n - 5*k - 133, 2*n - k = -6*k - f. Find the common denominator of (50/6)/(2/(-12)) and n.
1
Let l = -4/853 + 55517/15354. Find the common denominator of l and 2 + ((-104)/10)/4.
90
Let m(g) = 41*g - 1344. What is the lowest common multiple of m(36) and 108?
1188
What is the common denominator of 34/999 and (-1)/(-37)*-1*(14 - (-3367)/(-74))?
1998
Let i = 41 + -91. What is the least common multiple of 30/(-4)*80/i and 8?
24
Let o = -13024/7 - -1864. Let l = 5539/2529 - -9/281. Calculate the common denominator of l and o.
63
Let z be 10/2*((-16)/2 - -43). Find the common denominator of -25/144 and (-3 - z/(-60))*-133.
144
Suppose 18 = 3*z - 5*m, 4*z + 10 - 34 = -5*m. Suppose -5*y = 10, 4*b - 4*y = 107 + 13. Calculate the lowest common multiple of b and z.
84
Let d be 3 - 37755/(-48) - 1. Suppose 13*f - 5077 - 5219 = 0. Let g = d - f. Find the common denominator of g and 45/16.
16
Let m = -13885713287/44 - -315566578. Let h = m + 17814. Let g = -6473/14 + 467. Find the common denominator of g and h.
308
Let u = -148/11 - -4336/319. Calculate the common denominator of 29/13 and u.
377
Let c(d) = -d**3 - 8*d**2 + 11*d + 132. Calculate the least common multiple of 30 and c(-7).
30
Let b = -508 + 1180. Calculate the least common multiple of 1 and b.
672
Suppose -h = -2*g + 4, -g + 2*g + 3*h = -5. Suppose 81 = 4*t + g. What is the smallest common multiple of 56 and ((-18)/12)/((-3)/t)?
280
Let f be 44717/(-9828) + (-5)/(20/3). Let j = -5/351 - f. Find the common denominator of 3/18*(-135 + -1) and j.
21
What is the smallest common multiple of 3 and (-2)/(-7) + (33586/98 - 10)?
333
Let o = 38 + -27. Suppose -3*n = 9, 2*n - 3*n - 45 = 3*j. Let d = -4 - j. Calculate the lowest common multiple of o and d.
110
Let c = 580431 - 309950285/534. Find the common denominator of c and 12/979.
5874
Suppose -700 = 132*n - 134*n. What is the least common multiple of 675 and n?
9450
Let u be 200/(-3705)*36/8. Let h = u + 14419/21736. Calculate the common denominator of 23/24 and h.
264
Let d(x) = -4*x**2 + 42*x. Let b(v) = 4*v - 24. Calculate the least common multiple of d(10) and b(11).
20
Suppose -22*j = -29*j + 1036. Let n(g) = -g**2 - 6*g + 5. What is the lowest common multiple of 100/26 + (3 - j/52) and n(-5)?
20
Suppose -2*u - 2 = 3*d, 5*u + 4 | {
"pile_set_name": "DM Mathematics"
} |
is -8990a + -3?
-8990d
In base 6, what is -1420 + -2405011?
-2410431
In base 13, what is -19 - -9347411?
93473c5
In base 6, what is -32550013 + -50?
-32550103
In base 15, what is 1ee317d - 2?
1ee317b
In base 8, what is 22 - 67565?
-67543
In base 14, what is -5 - -2b5872?
2b586b
In base 5, what is 201421021043 - 4?
201421021034
In base 11, what is -48 + 21601?
21564
In base 13, what is -2923 + -228?
-2b4b
In base 16, what is -3 - 8aaf5?
-8aaf8
In base 12, what is 11 + -130a2aa6?
-130a2a95
In base 5, what is -11404002 + 1?
-11404001
In base 13, what is -1b6061 - b?
-1b606c
In base 6, what is -51041021 + -1302?
-51042323
In base 8, what is -137 - -1355561?
1355422
In base 8, what is 24 + 20715?
20741
In base 6, what is 4 - 1404201500?
-1404201452
In base 13, what is -994 + 3c6a?
32a6
In base 14, what is cc30 - -66b0?
15500
In base 3, what is -110122202002022212 - -10?
-110122202002022202
In base 6, what is 13304404051 + 5?
13304404100
In base 8, what is 201 + 125447?
125650
In base 5, what is -4104132 + 24410?
-4024222
In base 6, what is -3 + 441235541?
441235534
In base 12, what is 0 + 285b7105?
285b7105
In base 11, what is 25 - 57aaaa?
-57aa85
In base 4, what is 122112213111 + 3?
122112213120
In base 10, what is -108660 + -37?
-108697
In base 14, what is -a3cc - -99c?
-9830
In base 9, what is 512 - -124556?
125168
In base 10, what is -666607 - 96?
-666703
In base 2, what is 1000001001 + -10110010110001011011?
-10110010101001010010
In base 2, what is 100011001100010101 + -101111?
100011001011100110
In base 7, what is -11141043041 - 4?
-11141043045
In base 2, what is 10 + 111101110111010111000000?
111101110111010111000010
In base 6, what is 355122 - 44151?
310531
In base 5, what is -122132 - 13012?
-140144
In base 2, what is 1010011 + 111000011010100101?
111000011011111000
In base 9, what is 206424 + 1008?
207433
In base 3, what is 10002102 + -10012000?
-2121
In base 3, what is -112 - 11111021202020?
-11111021202202
In base 13, what is -12 + 3a49471?
3a4945c
In base 14, what is -152 + -344d1?
-34643
In base 11, what is -a + -2259a?
-225a9
In base 7, what is 113 - -15135?
15251
In base 5, what is 4321 + -4102320?
-4042444
In base 9, what is -2677211 - -121?
-2677080
In base 8, what is -133327130 - 0?
-133327130
In base 14, what is -223bd - c?
-223cb
In base 14, what is -3 + 25a01c?
25a019
In base 2, what is 10110000010 + -101000000000?
-10001111110
In base 6, what is -54215 + 1051315?
553100
In base 11, what is 78665 + -92?
78583
In base 3, what is -1212102100202 + -2022?
-1212102110001
In base 5, what is -34321013 - -413?
-34320100
In base 11, what is 582 + 48?
61a
In base 14, what is 96cbc3 - -5?
96cbc8
In base 10, what is 22845 + -516?
22329
In base 7, what is 55414 + 213341?
302055
In base 5, what is 4310 - 13114404?
-13110044
In base 3, what is 222220020011 - -200?
222220020211
In base 16, what is -2319 + b09?
-1810
In base 14, what is -2 - -27ac060?
27ac05c
In base 2, what is -101011000001010000110101 - 11?
-101011000001010000111000
In base 4, what is 12311 + 131332?
210303
In base 2, what is -10111100 - -11000011011010?
11000000011110
In base 11, what is -1 + -4211060?
-4211061
In base 14, what is -143297 - -1c0?
-1430b7
In base 6, what is -15353150353 - 2?
-15353150355
In base 16, what is 4 + -235682?
-23567e
In base 5, what is -1 - 1101141412242?
-1101141412243
In base 14, what is -4 - 1415a07?
-1415a0b
In base 12, what is 14 - 30b10b?
-30b0b7
In base 12, what is -12 + 115855?
115843
In base 6, what is 32104324 + 3?
32104331
In base 16, what is -63 - -1880e?
187ab
In base 12, what is 51a77 + -142?
51935
In base 6, what is -3 + -10004043?
-10004050
In base 15, what is -453a + 6e53?
2918
In base 8, what is -4565202 - 40?
-4565242
In base 12, what is -666 + 4214?
376a
In base 7, what is -5 - 1206535233?
-1206535241
In base 11, what is 1a0a04 - -466?
1a136a
In base 14, what is 159619 - 33?
1595c6
In base 10, what is -146382 + -212?
-146594
In base 12, what is -3 - 820ab2a?
-820ab31
In base 6, what is 24145 - 20151?
3554
In base 10, what is -3 + 2252929?
2252926
In base 14, what is -36 - -680c04?
680bac
In base 9, what is 33184503 - -3?
33184506
In base 8, what is -33 + 330772?
330737
In base 3, what is 12121011 - -110111122?
200002210
In base 15, what is -282 - -5595?
5313
In base 2, what is 1010 - 1100000111?
-1011111101
In base 3, what is -210010021112000211 + 12?
-210010021112000122
In base 13, what is -4a + b7a14?
b7997
In base 4, what is 0 + 303313010010?
303313010010
In base 5, what is -3042 - 42204400?
-42212442
In base 7, what is 35 - -134400214?
134400252
In base 14, what is 8a + c9c658?
c9c704
In base 11, what is -265 - -215aaa4?
215a83a
In base 11, what is 122273a7 + -5?
122273a2
In base 14, what is -8ac3b9 - -b?
-8ac3ac
In base 7, what is -2 - 25232654?
-25232656
In base 2, what is 100011001110 + 1000110010010?
1101001100000
In base 5, what is 23421 + -443002?
-414031
In base 16, what is -262c3d - 4e?
-262c8b
In base 14, what is -1 + 19b7684?
19b7683
In base 11, what is 2 - 3724202?
-3724200
In base 12, what is 0 - -31209a?
31209a
In base 6, what is -402223 + 220?
-402003
In base 15, what is 0 + 11c410?
11c410
In base 6, what is -2 + -151120233?
-151120235
In base 7, what is 415502253 - 3?
415502250
In base 11, what is 145071 - -8a9?
14596a
In base 2, what is 1110110110 + 11010011110?
101001010100
In base 15, what is -649e061 - 4?
-649e065
In base 13, what is -1778 - -741?
-1037
In base 14, what is 4d + 52052?
520a1
In base 11, what is -20519 + -4909?
-25327
In base 12, what is -7201a2 - 32?
-720214
In base 12, what is 64b - -ab1?
1540
In base 5, what is 41220224 - 42?
41220132
In base 11, what is 1245 + 763?
19a8
In base 12, what is -a05b + 706a?
-2bb1
In base 3, what is 1200 - -11102002010121?
11102002012021
In base 2, what is 1 - -100011100001000001?
100011100001000010
In base 5, what is 40 + 121103031?
121103121
In base 14, what is 2 - 6b2dd27?
-6b2dd25
In base 10, what is -1329667 - -2?
-1329665
In base 15, what is 3e9be56 + -4?
3e9be52
In base 5, what is -101014 - -11333014?
11232000
In base 5, what is -1003331124 + -41?
-1003331220
In base 3, what is 1 - 11000020000020020?
-11000020000020012
In base 14, what is 45304241 + -2?
4530423d
In base 5, what is -433134 - -202202?
-230432
In base 4, what is 100120 - -310231?
1011011
In base 11, what is -2 + 5568804?
5568802
In base 8, what is 747 + 1172124?
1173073
In base 7, what is -253332 - -360?
-252642
In base 9, what is -36 - -13840515?
13840468
In base 11, what is 1 + -13383a47?
-13383a46
In base 11, what is -43 + -936490?
-936523
In base 2, what is -100001110000100001100001 - -11?
-100001110000100001011110
In base 15, what is -1a2 - -3dbd82?
3dbbd0
In base 10, what is 515207 + -6?
515201
In base 2, what is 10000001111 - 101100101010010110?
-101100011010000111
In base 15, what is -3ec + 172?
-27a
In base 5, what is -23 + 130030341?
130030313
In base 3, what is -2110000 + -212020101?
-221200101
In base 8, what is 5563 + 15346?
23131
In base 16, what is -1d502de + -2?
-1d502e0
In base 14, what is 11a11 + 26?
11a37
In base 10, what is 80484676 - -2?
80484678
In base 14, what is 5d - -a3c1ba?
a3c239
In base 5, what is 12003 - 2223000?
-2210442
In base 12, what is -4 - 21724049?
-21724051
In base 7, what is 344632332 - 5?
344632324
In base 5, what is 10113121134 - 4?
10113121130
In base 8, what is 147177061 - -7?
147177070
In base 14, what is -5 + 43674?
4366d
In base 7, what is 122025 + -554?
121141
In base 15, what is 4 + -aae02?
-aaded
In base 4, what is -22231113102 - 100?
-22231113202
In base 16, what is d5 + 816c0?
81795
In base 6, what is -45 + 135253203?
135253114
In base 5, what is -221 + 1232213141?
1232212420
In base 2, what is 10111001 + 11011010001011010?
11011010100010011
In base 10, what is -213 + -966127?
-966340
In base 4, what is 1133021233 + 12221?
1133100120
In base 4, what is -321121222 + 1122?
-321120100
In base 10, what is 145 - -223035?
223180
In base 8, what is 0 + -771263633?
-771263633
In base 15, what is 2cd - 2650?
-2372
In base 14, what is 8 - c2a83?
-c2a79
In base 9, what is 5 + 4163583?
4163588
In base 3, what is 212 - -21101001212220?
21101001220202
In base 8, what is 57574 - 53662?
3712
In base 4, what is 232110 + 230031?
1122201
In base 14, | {
"pile_set_name": "DM Mathematics"
} |
ig as 42.1?
False
Is 0.7 at most as big as -1/75?
False
Is 2 != 7814?
True
Which is greater: -2 or -4?
-2
Which is bigger: 288 or 0.5?
288
Which is greater: -12 or 22?
22
Do 2/15 and 0.057 have the same value?
False
Which is bigger: 5889 or 5890?
5890
Is -378/5 greater than or equal to -77?
True
Which is smaller: -2984 or -2983?
-2984
Are 1/1878 and 0 non-equal?
True
Which is smaller: -104 or -3/29?
-104
Are 10/251 and 1 unequal?
True
Is -13/51 at most as big as 0?
True
Which is greater: -1832 or -1?
-1
Is -67 bigger than -68?
True
Is 110 > 118?
False
Is 9/7 > 109/3?
False
Which is smaller: 1/4632 or -1?
-1
Which is smaller: -1331 or -1329?
-1331
Is -4396 <= -4397?
False
Is -4 at least as big as -15/4?
False
Is 17/198 bigger than 1?
False
Is -17144 < -17144?
False
Are 0.01 and -34 equal?
False
Which is bigger: -0.4 or -146?
-0.4
Which is bigger: 1109 or 12/7?
1109
Which is bigger: -1/1754 or 1?
1
Which is greater: -18.7 or -18/5?
-18/5
Is 204 < 88?
False
Which is smaller: 1/2 or 80/21?
1/2
Is 6 at most as big as 77?
True
Do 1/29287 and 0 have the same value?
False
Is -79 greater than -389/5?
False
Is -15 at most as big as -497/34?
True
Are -47 and -39 unequal?
True
Which is smaller: 1/3 or 9.15?
1/3
Is -31 > -581/18?
True
Which is smaller: -1 or -38/43?
-1
Do 153 and 0 have the same value?
False
Which is smaller: -1 or 4/1005?
-1
Is 31 < 8?
False
Is -71/16 <= -4?
True
Is -1/103 at most 0?
True
Is 1 <= 2/2015?
False
Which is greater: 1290 or 1296?
1296
Is 1 less than or equal to 1/4168?
False
Which is smaller: -1 or 0.0551?
-1
Is -10331 bigger than -10331?
False
Which is smaller: 2/7 or 1334?
2/7
Which is greater: 4/567 or -8?
4/567
Which is greater: 79 or 241/3?
241/3
Are 8/529 and -1 non-equal?
True
Is -1/3 <= 4.63?
True
Are -18 and -169/9 equal?
False
Which is smaller: -4893 or -4894?
-4894
Which is smaller: 1 or 18?
1
Which is smaller: 144 or 147?
144
Are -67 and -70 nonequal?
True
Is 1 greater than -6446?
True
Which is bigger: -1 or -7/62?
-7/62
Which is smaller: -0.19 or -0.02?
-0.19
Which is bigger: 1 or -8/3775?
1
Which is greater: -1/198 or -1?
-1/198
Which is smaller: -10 or -0.051?
-10
Is 4/3 bigger than 208?
False
Are -308 and -309 nonequal?
True
Are -78/7 and -2/31 non-equal?
True
Which is bigger: -12 or 2/29?
2/29
Does 2.962 = 0.1?
False
Which is greater: 3/158 or 0?
3/158
Which is bigger: 1/37 or 0?
1/37
Do 1 and -29/488 have different values?
True
Which is greater: -230 or -231?
-230
Is -4517 less than -4515?
True
Do -1195 and -1187 have different values?
True
Is -0.1 less than or equal to -5/7?
False
Is -98/541 equal to 1?
False
Which is greater: -20 or -141/7?
-20
Which is bigger: 250 or 253?
253
Which is bigger: 569 or 571?
571
Which is bigger: -1 or -2/4749?
-2/4749
Which is smaller: -15988 or -15987?
-15988
Is -4/7 greater than or equal to -20?
True
Is -109 less than -109?
False
Are 0.063 and 2 equal?
False
Which is bigger: 3 or 76/33?
3
Which is greater: 13 or 708/55?
13
Which is bigger: -2/27 or 1?
1
Is -5 equal to -11?
False
Which is bigger: -1 or 19/44?
19/44
Do 261/2 and 132 have different values?
True
Do -558/17 and -33 have the same value?
False
Are 0 and -1/164 equal?
False
Is 18 greater than or equal to 252?
False
Is 1/2 <= -397?
False
Is -76/9 less than -7?
True
Is 276 greater than 3042/11?
False
Is 31 >= 10?
True
Is 21 greater than or equal to -1/7?
True
Which is bigger: -10369 or -10368?
-10368
Which is greater: 0 or -2/11457?
0
Do 0 and 6/515 have the same value?
False
Are 735/74 and 11 equal?
False
Which is greater: -1 or 1/340?
1/340
Which is greater: -103 or -106?
-103
Which is bigger: 1 or -81/4?
1
Which is greater: -112 or -115?
-112
Which is smaller: 0 or -12/95?
-12/95
Is -707 < -4950/7?
False
Is 0.09 != 10?
True
Do 1/3 and 0.12 have the same value?
False
Which is greater: -3 or -0.02?
-0.02
Which is smaller: 107 or -12?
-12
Are 312 and 315 unequal?
True
Which is greater: 1.59 or 1/2?
1.59
Is 3233 less than or equal to 3234?
True
Are -1 and 51/13 unequal?
True
Is 721 at least as big as 720?
True
Is -163 < -163?
False
Is 0.1 greater than -0.061?
True
Is 1637 at least as big as 1636?
True
Which is smaller: 456/71 or 7?
456/71
Is -109 > -105?
False
Which is greater: 423 or 408?
423
Which is smaller: -3922/23 or -170?
-3922/23
Is -5 greater than 336?
False
Does 3/11 = -14/3?
False
Which is smaller: -1736 or -1735?
-1736
Is 5/238 < 0?
False
Is -140 smaller than -138?
True
Which is smaller: -2/4303 or -1?
-1
Which is smaller: 2/37703 or 0?
0
Is -45/46 at least as big as -2?
True
Do 2908 and 2908 have the same value?
True
Is -238 less than or equal to -281?
False
Which is smaller: -62/9 or -4.3?
-62/9
Do 548/31 and 18 have different values?
True
Does 350 = -0.2?
False
Which is smaller: 536 or 537?
536
Which is smaller: -0.03 or -14.7?
-14.7
Is -1 at most as big as -9/130?
True
Is -0.1 not equal to 92/5?
True
Is 0.65 less than 6?
True
Is 1 < -7793?
False
Which is greater: 0 or 5/1456?
5/1456
Is 73 less than 32?
False
Which is greater: 859 or 868?
868
Is -141 greater than -145?
True
Is -2749 smaller than -2749?
False
Which is greater: 9 or 10/27?
9
Does 1143 = 1?
False
Which is smaller: -2/169 or 1/3?
-2/169
Is 136 less than 133?
False
Which is smaller: 3/4 or 93?
3/4
Are 138 and 11 non-equal?
True
Which is bigger: -2/5 or 587.4?
587.4
Do -4 and -23/7 have the same value?
False
Is -3/5587 at most 0?
True
Which is bigger: 45 or 49?
49
Which is smaller: -0.1 or -7111?
-7111
Which is smaller: 108/337 or -1?
-1
Is -1 > -5203?
True
Which is bigger: -7388 or -0.1?
-0.1
Is -1/2160 bigger than 1?
False
Is -3/100 at least as big as 1/3?
False
Is -393 at most -5?
True
Are 0.1 and -16/25 nonequal?
True
Is 1 bigger than 1/11485?
True
Which is smaller: -11 or -149/14?
-11
Is 1 != 2/67?
True
Which is smaller: 9/392 or -2/9?
-2/9
Which is greater: 17 or 18?
18
Is -12/565 > 1?
False
Which is greater: 0 or -1/4398?
0
Do -3062 and -3063 have different values?
True
Is -2/7 equal to -1064?
False
Does -31 = -274/9?
False
Which is smaller: 243 or 242?
242
Which is smaller: 0.8 or 0.5?
0.5
Which is greater: 20775 or 20776?
20776
Is -993 at most -992?
True
Is -167 greater than -173?
True
Does -10 = -9?
False
Which is smaller: 4/375 or 1?
4/375
Does 2 = 7/12?
False
Which is smaller: 0 or -5/78?
-5/78
Is 0.02 at least as big as -30?
True
Are -298 and 12/5 unequal?
True
Is -1144 greater than or equal to -1144?
True
Which is smaller: 12 or 10?
10
Which is smaller: 203 or 28?
28
Is 151/41 less than 5?
True
Is 3382 at least as big as 6765/2?
False
Which is greater: 287 or 257?
287
Is -1 at least -4/127?
False
Is -3/475 less than or equal to 0?
True
Which is bigger: 33 or -133?
33
Is 706 at least as big as 697?
True
Is 46 smaller than -4/169?
False
Is 3 > 54/29?
True
Which is greater: 368 or 360?
368
Are 1/4 and -1 unequal?
True
Is 0 greater than or equal to 9/964?
False
Which is bigger: 4/4907 or -1?
4/4907
Which is bigger: 88 or 954/11?
88
Which is greater: 9/211 or 0?
9/211
Is -1029 at most -1027?
True
Is 1518 less than 1518?
False
Is 1674 != 1673?
True
Which is greater: 102/259 or -1?
102/259
Which is bigger: -829 or 0?
0
Is -2840 > 3?
False
Is 8 > -19?
True
Which is smaller: -23 or -684/31?
-23
Is 0 > -6/215?
True
Is -1 not equal to -7274/5?
True
Which is bigger: 1078 or -0.03?
1078
Which is bigger: -7 or -110/17?
-110/17
Is 1948 >= 1948?
True
Which is bigger: -1272 or -0.1?
-0.1
Which is bigger: -281 or -48?
-48
Is -52 at least -56?
True
Which is bigger: 1442 or 0.3?
1442
Is 48/1769 > 1?
False
Which is greater: -4/81 or -1/161?
-1/161
Is 295 != -30?
True
Is 60 < 70?
True
Is -690 less than -690?
False
Is 760 at least as big as 758?
True
Is -18814 <= -18816?
False
Which is smaller: -577/10 or -59?
-59
Do -1/848 and 0 have the same value?
False
Is 12/95 equal to 0?
False
Is 0 < -9/182?
False
Is 4 at most as big as 2?
False
Which is smaller: 95 or 93?
93
Is 9940 < 9941?
True
Which is smaller: -1.2 or 0.5?
-1.2
Which is smaller: -7/4 or -24?
-24
Is -1 at least -74?
True
Which is bigger: -1053 or -0.9?
-0.9
Is -283 at least as big as -1/3?
False
Does -1418 = -1419?
False
Is 5.12 at most as big as -1?
False
Which is bigger: -6792 or -20372/3?
-20372/3
Which is smaller: 1/76057 or -1?
-1
Is 0 smaller than 18/49?
True
Is 4597 at most -1?
Fal | {
"pile_set_name": "DM Mathematics"
} |
5, o: 3, e: 4}?
8/273
Two letters picked without replacement from {x: 11, u: 3}. What is prob of picking 1 x and 1 u?
33/91
What is prob of picking 1 t and 2 f when three letters picked without replacement from tffttt?
1/5
Three letters picked without replacement from {x: 3, q: 6, z: 1, d: 7}. Give prob of picking 3 x.
1/680
Four letters picked without replacement from {q: 6, e: 10, i: 1}. Give prob of picking 2 e and 2 q.
135/476
Four letters picked without replacement from tteeete. What is prob of picking 3 t and 1 e?
4/35
Three letters picked without replacement from {b: 2, a: 2, w: 5, e: 2, g: 1, z: 1}. What is prob of picking 1 g and 2 b?
1/286
Calculate prob of picking 3 o when three letters picked without replacement from oooooo.
1
Three letters picked without replacement from {u: 4, c: 4, h: 1, j: 10}. What is prob of picking 1 u, 1 h, and 1 j?
40/969
Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {p: 1, f: 2, m: 5, s: 1, x: 1}.
2/9
Two letters picked without replacement from {g: 3, x: 1, a: 6, m: 5}. What is prob of picking 1 g and 1 m?
1/7
Two letters picked without replacement from {e: 3, t: 7, y: 3}. Give prob of picking 1 t and 1 e.
7/26
What is prob of picking 2 j when two letters picked without replacement from njjjjnj?
10/21
What is prob of picking 2 a and 2 p when four letters picked without replacement from {a: 2, p: 5}?
2/7
Two letters picked without replacement from {n: 2, i: 2, o: 2, x: 2}. What is prob of picking 1 i and 1 o?
1/7
Calculate prob of picking 3 y and 1 v when four letters picked without replacement from vyyyyyvvyyyyyyyy.
33/70
Calculate prob of picking 1 l, 1 g, and 1 o when three letters picked without replacement from {o: 1, l: 2, q: 2, e: 2, s: 4, g: 1}.
1/110
Three letters picked without replacement from {b: 3, e: 4, o: 7}. Give prob of picking 3 o.
5/52
Two letters picked without replacement from mmmimimiimmmimmmmi. What is prob of picking 2 m?
22/51
What is prob of picking 1 f and 1 j when two letters picked without replacement from jpfjhfpjjhpp?
4/33
Three letters picked without replacement from xbbxxbb. Give prob of picking 1 b and 2 x.
12/35
Two letters picked without replacement from uoeuqeeuuu. Give prob of picking 1 e and 1 u.
1/3
What is prob of picking 2 p and 2 l when four letters picked without replacement from ssssdplsplls?
1/165
Three letters picked without replacement from emmmmmmmmmmmmmeemmem. Give prob of picking 3 e.
1/285
Three letters picked without replacement from wswsddduuwddsszdwwus. Give prob of picking 1 w, 1 z, and 1 u.
1/76
Calculate prob of picking 2 a and 2 g when four letters picked without replacement from {j: 2, g: 4, a: 3, q: 6}.
6/455
What is prob of picking 2 k and 1 q when three letters picked without replacement from {k: 4, m: 1, q: 7, c: 2, z: 1, t: 3}?
7/136
Calculate prob of picking 2 c and 1 x when three letters picked without replacement from xnbcnnnxcnnnnnnc.
3/280
What is prob of picking 2 k and 2 g when four letters picked without replacement from goakgakggaaaookao?
9/1190
Four letters picked without replacement from {m: 3, k: 13}. What is prob of picking 3 m and 1 k?
1/140
Two letters picked without replacement from ccrb. What is prob of picking 1 r and 1 b?
1/6
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from kpkkukzukukk.
1/22
Four letters picked without replacement from {k: 4, a: 3, v: 4, h: 4}. Give prob of picking 2 h and 2 a.
6/455
Calculate prob of picking 1 f, 2 r, and 1 u when four letters picked without replacement from {c: 5, l: 2, f: 2, j: 6, r: 3, u: 1}.
1/646
What is prob of picking 4 q when four letters picked without replacement from qqqqqqkqqqkqqqqqqqkq?
28/57
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from mjmmvjjmmxxvjxjjmmmj.
21/190
Four letters picked without replacement from bbbb. What is prob of picking 4 b?
1
Two letters picked without replacement from {o: 1, s: 3, p: 1, e: 1, c: 5}. Give prob of picking 1 e and 1 s.
3/55
Calculate prob of picking 1 r, 1 z, and 1 m when three letters picked without replacement from mzzzzhrhz.
5/84
Three letters picked without replacement from {y: 3}. What is prob of picking 3 y?
1
What is prob of picking 1 k and 1 f when two letters picked without replacement from mmfmkbfbbfy?
3/55
Two letters picked without replacement from {f: 3, l: 6, i: 3, m: 1, j: 3}. What is prob of picking 2 l?
1/8
Four letters picked without replacement from xhjhhxjhhxhxhhhj. What is prob of picking 2 x, 1 j, and 1 h?
81/910
Four letters picked without replacement from bbglbblbxbogllbggbbl. Give prob of picking 1 o, 2 l, and 1 g.
8/969
Calculate prob of picking 2 e when two letters picked without replacement from qqqqeqqeqqeqqqq.
1/35
What is prob of picking 1 r and 3 a when four letters picked without replacement from aaadr?
1/5
What is prob of picking 1 u and 1 l when two letters picked without replacement from uqalu?
1/5
What is prob of picking 2 x when two letters picked without replacement from {j: 3, x: 12, w: 2}?
33/68
Four letters picked without replacement from {i: 4, a: 4, s: 2}. What is prob of picking 3 i and 1 a?
8/105
Two letters picked without replacement from {e: 2, l: 1, a: 1, d: 1, w: 4}. Give prob of picking 1 e and 1 w.
2/9
Calculate prob of picking 2 p when two letters picked without replacement from cpyrcccccccpyyzzcyc.
1/171
Four letters picked without replacement from aafahawu. Give prob of picking 2 a, 1 u, and 1 w.
3/35
What is prob of picking 2 a and 1 q when three letters picked without replacement from xxhahhhhahqx?
1/220
What is prob of picking 2 i and 1 d when three letters picked without replacement from {j: 4, i: 2, d: 1}?
1/35
What is prob of picking 2 d when two letters picked without replacement from uuuduuuuuuudu?
1/78
What is prob of picking 1 e and 1 y when two letters picked without replacement from yeeeyeyeeeyyyyee?
21/40
Calculate prob of picking 3 q and 1 d when four letters picked without replacement from {q: 4, n: 1, d: 3, l: 1, j: 1, u: 4}.
12/1001
Two letters picked without replacement from {s: 9, p: 5}. What is prob of picking 2 p?
10/91
What is prob of picking 2 a when two letters picked without replacement from {g: 5, a: 5}?
2/9
Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {m: 7, z: 1}.
3/8
What is prob of picking 1 r, 1 k, 1 n, and 1 o when four letters picked without replacement from {c: 1, o: 4, r: 1, k: 4, n: 6}?
24/455
Two letters picked without replacement from knkwxnkokkkekx. What is prob of picking 1 e and 1 k?
1/13
What is prob of picking 4 z when four letters picked without replacement from vzzezesezseszeseez?
1/204
Calculate prob of picking 3 i when three letters picked without replacement from vitttiviittvi.
5/143
What is prob of picking 1 s and 2 m when three letters picked without replacement from ssmms?
3/10
Three letters picked without replacement from rrbbrrxrx. Give prob of picking 2 r and 1 x.
5/21
Three letters picked without replacement from {l: 1, c: 1, y: 1, d: 1, g: 1, u: 2}. What is prob of picking 1 u and 2 g?
0
What is prob of picking 4 y when four letters picked without replacement from {y: 4, m: 3}?
1/35
What is prob of picking 1 w and 1 q when two letters picked without replacement from {q: 2, w: 4, k: 2, x: 1}?
2/9
Two letters picked without replacement from {r: 4, l: 1, h: 1, x: 1, n: 2}. What is prob of picking 1 r and 1 h?
1/9
Calculate prob of picking 2 f when two letters picked without replacement from fkffrfyrrtrrrrkrr.
3/68
Four letters picked without replacement from vbubvvbbubvbb. Give prob of picking 1 v and 3 b.
28/143
Two letters picked without replacement from bnnannaanan. What is prob of picking 2 n?
3/11
What is prob of picking 2 f when two letters picked without replacement from rfrf?
1/6
What is prob of picking 1 b, 2 h, and 1 s when four letters picked without replacement from {h: 4, g: 1, q: 1, b: 6, s: 4}?
36/455
Four letters picked without replacement from {w: 3, h: 4, a: 2, x: 4, d: 1}. What is prob of picking 4 h?
1/1001
What is prob of picking 1 s, 1 n, and 1 y when three letters picked without replacement from sssssssssssysyssn?
7/170
Calculate prob of picking | {
"pile_set_name": "DM Mathematics"
} |
/7, 2, 9
Find y, given that -25*y**5 + 640*y**4 - 5040*y**3 + 11630*y**2 - 3575*y - 3630 = 0.
-2/5, 1, 3, 11
Factor -2*h**3/5 - 726*h**2/5 - 13104*h + 66248/5.
-2*(h - 1)*(h + 182)**2/5
What is j in -30*j**3 + 4805*j**2 + 4030*j - 805 = 0?
-1, 1/6, 161
Let 4*p**5/7 - 24*p**4/7 + 12*p**3/7 + 40*p**2/7 = 0. What is p?
-1, 0, 2, 5
Factor -k**2/7 - 986*k/7 - 243049/7.
-(k + 493)**2/7
Determine n so that 8*n**4/15 - 32*n**3/5 - 1702*n**2/15 - 2338*n/5 - 9016/15 = 0.
-4, -7/2, 23
Solve 2*m**5 - 7*m**4 + 9*m**3 - 5*m**2 + m = 0.
0, 1/2, 1
Factor -2*p**2/13 - 24*p/13 - 22/13.
-2*(p + 1)*(p + 11)/13
Determine b so that 5*b**4/4 - 95*b**3/2 - 395*b**2/4 - 50*b = 0.
-1, 0, 40
Factor -3*x**2/5 + 126*x - 627/5.
-3*(x - 209)*(x - 1)/5
Find i such that -8*i**5/11 + 50*i**4/11 - 114*i**3/11 + 112*i**2/11 - 40*i/11 = 0.
0, 1, 5/4, 2
Suppose -5*o**2 + 135*o - 130 = 0. What is o?
1, 26
Factor 39*h**3 - 115*h**2 - 6*h.
h*(h - 3)*(39*h + 2)
Find n such that 2*n**5/5 - 14*n**4/5 + 4*n**3 + 4*n**2/5 - 22*n/5 + 2 = 0.
-1, 1, 5
Factor -2*w**2/7 - 228*w/7 + 1952/7.
-2*(w - 8)*(w + 122)/7
Suppose -5*a**5 - 35*a**4 + 45*a**3 + 335*a**2 + 80*a - 420 = 0. What is a?
-7, -2, 1, 3
Find a, given that -10*a**5/11 - 294*a**4/11 - 56*a**3 + 960*a**2/11 + 2624*a/11 + 864/11 = 0.
-27, -2, -2/5, 2
Factor -4*h**2 - 104*h - 352.
-4*(h + 4)*(h + 22)
Factor 5*z**2 + 870*z.
5*z*(z + 174)
Find c such that -4*c**4 - 200*c**3 - 2068*c**2 + 10800*c - 11664 = 0.
-27, 2
Find d, given that 3*d**5 - 39*d**4 + 150*d**3 - 150*d**2 - 153*d + 189 = 0.
-1, 1, 3, 7
Let -2*t**3 + 46*t**2 - 320*t + 600 = 0. Calculate t.
3, 10
Factor a**5/2 + 3*a**4 - 73*a**3/2 + 107*a**2 - 126*a + 52.
(a - 2)**3*(a - 1)*(a + 13)/2
Factor o**5 + 4*o**4 - 5*o**3.
o**3*(o - 1)*(o + 5)
Find z, given that -2*z**4 - 656*z**3 + 1318*z**2 - 660*z = 0.
-330, 0, 1
Factor -z**2/5 - 107*z/5 - 312/5.
-(z + 3)*(z + 104)/5
Suppose -q**5/2 - 11*q**4/2 + 6*q**3 = 0. What is q?
-12, 0, 1
Factor 2*u**2 + 4*u - 48.
2*(u - 4)*(u + 6)
Suppose -84*p**3 + 500*p**2 - 416*p + 80 = 0. What is p?
2/7, 2/3, 5
Factor 3*n**3/7 - 51*n**2/7 + 132*n/7 - 12.
3*(n - 14)*(n - 2)*(n - 1)/7
Suppose 5*z**3 + 770*z**2 + 2275*z + 1510 = 0. What is z?
-151, -2, -1
Factor -k**3/8 + k**2/2 - 3*k/8.
-k*(k - 3)*(k - 1)/8
Determine b so that -3*b**4/2 - 7*b**3 + 13*b**2/2 + 22*b + 10 = 0.
-5, -1, -2/3, 2
Factor -5*m**3 - 960*m**2 - 1900*m.
-5*m*(m + 2)*(m + 190)
Factor f**3 - 2*f**2 - 7*f - 4.
(f - 4)*(f + 1)**2
Factor 25*p**3/4 - 135*p**2 - 55*p.
5*p*(p - 22)*(5*p + 2)/4
Factor 3*z**4 + 12*z**3 + 15*z**2 + 6*z.
3*z*(z + 1)**2*(z + 2)
Solve r**5/2 + 3*r**4/2 - 3*r**3/2 - 7*r**2/2 + 3*r = 0.
-3, -2, 0, 1
Suppose 2*w**5/9 - 476*w**4/9 + 14080*w**3/3 - 182400*w**2 + 2496000*w + 5760000 = 0. Calculate w.
-2, 60
Determine t, given that 3*t**3 - 9*t**2 - 30*t + 72 = 0.
-3, 2, 4
Determine l, given that 28*l**2 + 2484*l + 2456 = 0.
-614/7, -1
Find h, given that -4*h**4 - 916*h**3 + 1864*h**2 + 3664*h - 7392 = 0.
-231, -2, 2
Factor -4*i**2 - 148*i + 152.
-4*(i - 1)*(i + 38)
Suppose -4*g**3/7 - 40*g**2/7 + 148*g/7 - 104/7 = 0. What is g?
-13, 1, 2
Solve r**3/2 + r**2 - r/2 - 1 = 0 for r.
-2, -1, 1
Factor -2*g**3/9 + 220*g**2/9 + 74*g/3.
-2*g*(g - 111)*(g + 1)/9
Suppose -15*y**4 - 145*y**3 + 65*y**2 + 145*y - 50 = 0. Calculate y.
-10, -1, 1/3, 1
Factor 2*r**5/3 - 2*r**4/3 - 12*r**3 + 104*r**2/3 - 80*r/3.
2*r*(r - 2)**3*(r + 5)/3
Factor -b**3/2 + 326*b**2 - 106925*b/2 + 105625.
-(b - 325)**2*(b - 2)/2
Suppose 2*v**4 + 52*v**3 - 454*v**2 - 10296*v + 78408 = 0. Calculate v.
-22, 9
Determine k, given that 2*k**3 - 82*k**2 - 352*k - 360 = 0.
-2, 45
Factor 4*c**3/3 + 92*c**2 - 568*c/3.
4*c*(c - 2)*(c + 71)/3
Suppose -5*k**3 - 177*k**2 - 70*k = 0. What is k?
-35, -2/5, 0
Determine r so that 2*r**5/3 + 8*r**4/3 + 4*r**3/3 - 8*r**2/3 - 2*r = 0.
-3, -1, 0, 1
Factor -30603*v**2/5 - 2424*v/5 - 48/5.
-3*(101*v + 4)**2/5
Factor z**4/3 - 7*z**3/3 - 8*z**2/3.
z**2*(z - 8)*(z + 1)/3
Let -h**4/3 + 3*h**3 + 11*h**2 + 35*h/3 + 4 = 0. What is h?
-1, 12
Factor 2*o**4 - 112*o**3 + 1452*o**2 + 3248*o + 1682.
2*(o - 29)**2*(o + 1)**2
Let 100*m**5 - 115*m**4 - 195*m**3 + 40*m**2 + 20*m = 0. Calculate m.
-1, -1/4, 0, 2/5, 2
What is q in -2*q**3/11 - 172*q**2/11 - 3698*q/11 = 0?
-43, 0
Determine p so that 2*p**5/17 - 4*p**4/17 - 4*p**3/17 + 8*p**2/17 + 2*p/17 - 4/17 = 0.
-1, 1, 2
Factor -2*y**2/15 + 32*y/15.
-2*y*(y - 16)/15
What is r in -33*r**2/2 + 147*r/2 + 45 = 0?
-6/11, 5
Determine y, given that 2*y**2/7 - 74*y/7 - 156/7 = 0.
-2, 39
Factor -3*b**5 - 117*b**4 - 1305*b**3 - 3243*b**2 - 3024*b - 972.
-3*(b + 1)**3*(b + 18)**2
Factor r**5 + 110*r**4 + 3024*r**3 - 110*r**2 - 3025*r.
r*(r - 1)*(r + 1)*(r + 55)**2
Solve r**5 + 4*r**4 + 5*r**3 + 2*r**2 = 0.
-2, -1, 0
Suppose -3*r**5/5 - 6*r**4/5 + 54*r**3 + 120*r**2 - 3507*r/5 + 2646/5 = 0. Calculate r.
-7, 1, 2, 9
Factor -v**2/7 - 208*v/7 + 848/7.
-(v - 4)*(v + 212)/7
Find m such that 2*m**3 - 56*m**2 + 88*m + 416 = 0.
-2, 4, 26
Determine t so that -t**3/3 + 10*t**2 - 64*t - 512/3 = 0.
-2, 16
Factor -20*n**4 + 296*n**3 - 1124*n**2 + 720*n.
-4*n*(n - 9)*(n - 5)*(5*n - 4)
Factor -3*t**2 - 966*t - 77763.
-3*(t + 161)**2
Determine q, given that 4*q**5/5 - 6*q**4 + 38*q**3/5 - 12*q**2/5 = 0.
0, 1/2, 1, 6
Factor -3*y**3/2 - y**2 + 8*y.
-y*(y - 2)*(3*y + 8)/2
Factor 16*b**5/3 - 12*b**4 + 8*b**3 - 4*b**2/3.
4*b**2*(b - 1)**2*(4*b - 1)/3
Let g**2/5 + 61*g/5 - 402/5 = 0. What is g?
-67, 6
Find j, given that -140*j**3 - 3645*j**2 - 3630*j - 125 = 0.
-25, -1, -1/28
Suppose 2*p**5/9 - 4*p**3/3 - 16*p**2/9 - 2*p/3 = 0. What is p?
-1, 0, 3
Let s**5 - 12*s**4 + 48*s**3 - 82*s**2 + 63*s - 18 = 0. What is s?
1, 3, 6
Factor -q**3 + 3*q**2 + 10*q.
-q*(q - 5)*(q + 2)
Let -2*z**3 + 24*z + 32 = 0. Calculate z.
-2, 4
What is o in -4*o**3 - 1088*o**2 - 3236*o - 2152 = 0?
-269, -2, -1
Factor 5*x**3 + 15*x**2 + 10*x.
5*x*(x + 1)*(x + 2)
Factor -2*y**2 + 112*y - 1568.
-2*(y - 28)**2
What is j in 2*j**5/3 - 140*j**4/3 - 886*j**3/3 - 1952*j**2/3 - 1816*j/3 - 608/3 = 0?
-2, -1, 76
Suppose -4*a**2 - 476*a + 1968 = 0. What is a?
-123, 4
Factor -2*v**2 - 42*v - 220.
-2*(v + 10)*(v + 11)
Factor p**4/3 - 6*p**3 + 20*p**2 - 56*p/3.
p*(p - 14)*(p - 2)**2/3
Factor 2*q**2/5 + 2*q/5 - 36.
2*(q - 9)*(q + 10)/5
Factor -135*v**4 - 540*v**3 - 450*v**2 + 500*v + 625.
-5*(v - 1)*(3*v + 5)**3
Let 2*l**3/9 - 256*l**2/9 + 938*l - 1764 = 0. Calculate l.
2, 63
Suppose -2*n**3/3 - 78*n**2 + 2240*n/3 - 1176 = 0. Calculate n.
-126, 2, 7
Determine a, given that -9*a**4 - 570*a**3 + 4163*a**2 - 2584*a + 420 = 0.
-70, 1/3, 6
Solve -2*t**2/3 + 226*t/3 + 460/3 = 0.
-2, 115
Factor -2*q**2/3 + 6*q - 12.
-2*(q - 6)*(q - 3)/3
Solve -6*g**5/5 - 72*g**4/5 - 24*g**3 + 12*g**2/5 + 126*g/5 + 12 = 0 for g.
-10, -1, 1
Factor 3*y**3 + 1065*y**2 - 2142*y.
3*y*(y - 2)*(y + 357)
Factor -m**2/4 - 41*m/4 - 39/2.
-(m + 2)*(m + 39)/4
Suppose -4*k**3 + 2816*k**2 - 495616*k = 0. Calculate k.
0, 352
Factor 5*u**5 + 120*u**4 - 130*u**3 - 10200*u**2 + 36125*u.
5*u*(u - 5)**2*(u + 17)**2
Factor 3*t**5 - 2136*t**4 + 380208*t**3.
3*t**3*(t - 356)**2
Determine c so that c**2 + 612*c - 613 = 0.
-613, 1
Factor 4*f**2 - 48*f + 144.
4*(f - 6)**2
Let -k**4 - 11*k**3 - 24*k**2 + 36*k = 0. Calculate k.
-6, 0, 1
Let -2*x**4 - 732*x**3 - 64728*x**2 + 415152*x = 0. Calculate x.
-186, 0, 6
Let n**5/3 + 200*n**4/3 - 1016*n**3/3 + 1838*n**2/3 - 1433*n/3 + 410/3 = 0. What is n?
-205, 1, 2
Find c such that 3*c**5/5 + 3*c**4/5 - 168*c**3/5 + 432*c**2/5 = 0.
-9, 0, 4
Factor 2*h**3 - 22*h**2 + 30*h + 54.
2*(h - 9)*(h - 3)*(h + 1)
Factor 2*a**3/7 + 52*a**2/7 - 2*a/7 - 52/7.
2*(a - 1)*(a + 1)*(a + 26)/7
Determine d, given that -d**3/3 + 4*d**2/3 - d = 0.
0, 1, 3
What is l in -l**3/3 + l**2 + 18*l - 112/3 = 0?
-7, 2, 8
Suppose -15*w**3 + 34104*w**2 - 19377891*w - 7756614 = 0. What is w?
-2/5, 1137
Factor -10*b**2/13 + 472*b/13 + 384/13.
-2*(b - 48)*(5*b + 4)/13
Factor -9*r**3/5 - r**2 + 32*r/5 + 28/5.
-(r - 2)*(r + 1)*(9*r + 14)/5
What is p in -2*p**3/15 + 236*p**2/5 - 27848*p/5 + 3286064/15 = 0?
118
Let 2*k**2/5 - 6*k/5 - 36/5 = 0. Calculate k.
-3, 6
Factor 35*g**3 + 360*g**2 + 835*g + 210.
5*(g + 3)*(g + 7)*(7*g + 2)
Factor 3*q**5/5 - 12*q**3/5 + 6*q**2/5 + 9*q/5 - 6/5.
3*(q - 1)**3*(q + 1)*(q + 2)/5
Factor 4*z**2 + 48*z - 52.
4*(z - 1)*(z + 13)
Suppose n* | {
"pile_set_name": "DM Mathematics"
} |
j/5 - 1104 = 0. What is j?
-23, -8, 5, 12
Factor 2*a**2 + 526764*a - 526766.
2*(a - 1)*(a + 263383)
What is g in -4*g**2 - 348*g + 2232 = 0?
-93, 6
Suppose -3*d**2/5 + 37869*d + 378702/5 = 0. What is d?
-2, 63117
Factor -2*g**2 - 1214*g + 40896.
-2*(g - 32)*(g + 639)
Find t such that 114*t**5/7 + 794*t**4/7 + 884*t**3/7 - 1856*t**2/7 + 64*t/7 = 0.
-4, 0, 2/57, 1
Find n, given that -2*n**3/13 - 284*n**2/13 - 4838*n/13 + 5124/13 = 0.
-122, -21, 1
Find g such that -4*g**2/9 - 10180*g/3 + 30544/9 = 0.
-7636, 1
Suppose 5*j**2 - 82590*j - 909095 = 0. What is j?
-11, 16529
Factor -3*w**3/8 - 327*w**2/8 + 1203*w/4 - 435.
-3*(w - 5)*(w - 2)*(w + 116)/8
Factor -a**3/3 + 833*a**2/3 + 5026*a/3 + 6712/3.
-(a - 839)*(a + 2)*(a + 4)/3
Let -3*p**2 - 78294*p - 510829203 = 0. What is p?
-13049
Factor 3*p**3/8 + 1085*p**2/8 - 91*p/2 - 181/2.
(p - 1)*(p + 362)*(3*p + 2)/8
Determine a so that a**4/3 + 521*a**3/3 + 22879*a**2 + 202279*a/3 + 134162/3 = 0.
-259, -2, -1
Factor 3*s**2/7 - 39786*s/7 - 79584/7.
3*(s - 13264)*(s + 2)/7
What is h in h**2/7 + 19122*h/7 = 0?
-19122, 0
Suppose 2*l**4/11 + 200*l**3 - 8824*l**2/11 + 8832*l/11 = 0. Calculate l.
-1104, 0, 2
Factor -4*p**2/3 + 74568*p - 1042572492.
-4*(p - 27963)**2/3
Find f, given that -3*f**5 + 216*f**4 + 2217*f**3 - 2430*f**2 = 0.
-10, 0, 1, 81
Find t such that -3*t**5 + 48*t**4 - 243*t**3 + 438*t**2 - 240*t = 0.
0, 1, 2, 5, 8
Determine k, given that -k**4 + k**3 + 16*k**2 - 16*k = 0.
-4, 0, 1, 4
Factor 4*i**3 - 468*i**2 + 13464*i - 36288.
4*(i - 72)*(i - 42)*(i - 3)
Find a such that -2*a**3/7 + 188*a**2/7 - 1658*a/7 - 264 = 0.
-1, 11, 84
Factor -5*a**2 + 48935*a + 686070.
-5*(a - 9801)*(a + 14)
Factor o**2 - 110666*o + 3061740889.
(o - 55333)**2
Factor 3*m**3 + 23136*m**2 + 44744700*m + 533610000.
3*(m + 12)*(m + 3850)**2
Suppose -2*m**4/7 + 198*m**3/7 - 192*m**2/7 - 56*m = 0. What is m?
-1, 0, 2, 98
Find n, given that 4*n**5/3 - 116*n**4/3 + 424*n**3/3 - 616*n**2/3 + 404*n/3 - 100/3 = 0.
1, 25
Factor -5*g**3 - 450*g**2 - 1740*g - 1720.
-5*(g + 2)**2*(g + 86)
Factor 3*w**3 + 128019*w**2 + 384036*w + 256020.
3*(w + 1)*(w + 2)*(w + 42670)
Factor -6*t**2/11 - 5886*t/11 - 23448/11.
-6*(t + 4)*(t + 977)/11
Factor -h**5 - 5*h**4 + 56*h**3 + 348*h**2 + 288*h.
-h*(h - 8)*(h + 1)*(h + 6)**2
Let p**4/2 - 13*p**3/2 + 31*p**2/2 + 117*p/2 - 180 = 0. Calculate p.
-3, 3, 5, 8
Factor -5*b**4 + 420*b**3 - 8985*b**2 - 2870*b + 403440.
-5*(b - 41)**2*(b - 8)*(b + 6)
What is m in m**2/9 + 2254*m/9 + 2251/3 = 0?
-2251, -3
Suppose 4*q**3 + 23344*q**2/7 - 30052*q/7 + 6680/7 = 0. What is q?
-835, 2/7, 1
Determine j, given that j**2/2 - 3063*j - 6127/2 = 0.
-1, 6127
Find c, given that c**4/2 + 23*c**3/2 - 15*c**2/2 - 1143*c/2 + 567 = 0.
-21, -9, 1, 6
Determine b, given that -3*b**3 - 1095*b**2 + 18243*b - 17145 = 0.
-381, 1, 15
What is r in -2*r**3/3 - 26*r**2/9 + 644*r/9 - 416/9 = 0?
-13, 2/3, 8
Solve -o**2 + 35508*o - 315204516 = 0.
17754
Factor 2*r**3/7 - 1960*r**2 - 8*r/7 + 7840.
2*(r - 6860)*(r - 2)*(r + 2)/7
Determine s so that 3*s**2 - 129*s - 135360 = 0.
-192, 235
Let -10*j**5/7 - 176*j**4/7 + 862*j**3/7 + 2852*j**2 + 59208*j/7 - 26928/7 = 0. Calculate j.
-17, -6, 2/5, 11
Find t such that -4*t**4 - 148*t**3 - 528*t**2 = 0.
-33, -4, 0
Let -2*u**3 + 654*u**2 - 70110*u + 2472850 = 0. Calculate u.
95, 137
Determine y, given that 2*y**4 + 2462*y**3 - 50048*y**2 - 9848*y + 200160 = 0.
-1251, -2, 2, 20
Determine j, given that 12*j**3 + 99*j**2 - 453*j - 540 = 0.
-45/4, -1, 4
Solve -s**4 - 57*s**3 - 469*s**2 + 10317*s + 10730 = 0 for s.
-37, -29, -1, 10
Determine a so that -2*a**2/17 - 722*a/17 - 168 = 0.
-357, -4
Solve -2*m**3/7 + 594*m**2/7 - 2496*m + 135680/7 = 0 for m.
16, 265
Factor -2*z**3/13 - 4132*z**2/13 + 12414*z/13.
-2*z*(z - 3)*(z + 2069)/13
Factor -w**3/4 - 1361*w**2/4 - 422875*w/4 - 38135763/4.
-(w + 199)**2*(w + 963)/4
Solve -128*o**3 - 36768*o**2 - 9178*o + 1722 = 0.
-287, -3/8, 1/8
Find b, given that 2*b**3/15 - 2104*b**2/15 - 25514*b/15 - 23408/15 = 0.
-11, -1, 1064
Let a**4/5 - 95*a**3 - 5796*a**2/5 - 23312*a/5 - 31168/5 = 0. What is a?
-4, 487
Factor 2*b**2/3 - 9304*b + 223168/3.
2*(b - 13948)*(b - 8)/3
Suppose 3*c**5 + 24*c**4 - 72*c**3 - 114*c**2 + 69*c + 90 = 0. What is c?
-10, -1, 1, 3
Let 16*n**3/17 + 234*n**2/17 + 134*n/17 - 84/17 = 0. What is n?
-14, -1, 3/8
Let -5*m**3 + 1140*m**2 - 5575*m = 0. Calculate m.
0, 5, 223
What is t in -3*t**2/8 - 6969*t/8 + 10467/4 = 0?
-2326, 3
Suppose 2*v**3/5 - 562*v**2/5 - 4068*v/5 + 10368/5 = 0. Calculate v.
-9, 2, 288
Suppose 8*h**4 - 196*h**3 + 1324*h**2 - 1976*h - 1344 = 0. What is h?
-1/2, 3, 8, 14
Factor -o**3/3 - 32*o**2/3 + 24640*o + 2860032.
-(o - 304)*(o + 168)**2/3
Factor 2*z**2/11 - 9088*z/11 + 9888.
2*(z - 4532)*(z - 12)/11
Factor 3*m**4/4 - 23946*m**3 - 287424*m**2 - 1149792*m - 1533120.
3*(m - 31940)*(m + 4)**3/4
Solve -3*l**5 - 12570*l**4 - 13154493*l**3 + 26371866*l**2 + 13154496*l - 26359296 = 0 for l.
-2096, -1, 1, 2
Solve 2*s**3/3 - 111046*s**2/3 + 111044*s/3 = 0 for s.
0, 1, 55522
Factor 25*l**2 + 8685*l + 12110.
5*(l + 346)*(5*l + 7)
Factor -3025*d**2 - 748770*d - 46335249.
-(55*d + 6807)**2
Factor 2*l**2/15 - 24598*l/15 + 16396/5.
2*(l - 12297)*(l - 2)/15
Factor 5*x**4 - 17250*x**3 + 14826240*x**2 + 89579520*x.
5*x*(x - 1728)**2*(x + 6)
Factor 5*n**2 + 1831*n + 366.
(n + 366)*(5*n + 1)
Determine j so that -j**5 + 455*j**4 - 4907*j**3 + 10117*j**2 + 42480*j - 133200 = 0.
-3, 4, 5, 444
Factor -45796*u**4 - 72760*u**3 - 10068*u**2 + 14960*u - 1936.
-4*(u + 1)**2*(107*u - 22)**2
Let -147*g**2 - 5295*g/4 - 27/4 = 0. Calculate g.
-9, -1/196
Solve 2*r**4/9 - 8000*r**3 + 647999998*r**2/9 + 8000*r - 72000000 = 0.
-1, 1, 18000
Factor 4*u**3 - 468*u**2 + 3080*u.
4*u*(u - 110)*(u - 7)
Factor 6*p**2 - 1249647*p + 624822.
3*(p - 208274)*(2*p - 1)
What is o in 2*o**3 - 28834*o**2 - 2*o + 28834 = 0?
-1, 1, 14417
Let 4*n**3/3 - 20020*n**2/3 + 8353344*n - 8346672 = 0. What is n?
1, 2502
Suppose -x**4/2 - 12*x**3 - 37*x**2/2 + 75*x - 44 = 0. Calculate x.
-22, -4, 1
Factor -289*d**3/2 - 109769*d**2/2 - 10368111*d/2 + 10478169/2.
-(d - 1)*(17*d + 3237)**2/2
Suppose -3*s**3 - 987*s**2 - 26100*s = 0. What is s?
-300, -29, 0
Find l such that 3*l**3 + 2289930*l**2 + 4579851*l + 2289924 = 0.
-763308, -1
Determine h, given that -2*h**2/5 + 3928*h/5 - 11694 = 0.
15, 1949
Let 2*b**3/3 + 7514*b**2/3 - 440858*b/3 + 6416830/3 = 0. What is b?
-3815, 29
Solve 2*b**5 + 36*b**4 + 198*b**3 + 244*b**2 - 480*b = 0.
-8, -6, -5, 0, 1
Factor 2*u**2/3 - 391252*u/3.
2*u*(u - 195626)/3
What is p in -2*p**2/7 - 4160*p/7 - 74232/7 = 0?
-2062, -18
Solve -2*s**3/5 - 372*s**2/5 - 4410*s - 422576/5 = 0 for s.
-88, -49
Find k such that -k**5 + 5120*k**4 - 6538222*k**3 - 39367684*k**2 - 59100217*k - 26275876 = 0.
-4, -1, 2563
Solve v**2/7 - 100*v/7 - 864/7 = 0 for v.
-8, 108
Factor 2*g**3/7 + 11482*g**2/7 + 114670*g/7 + 286550/7.
2*(g + 5)**2*(g + 5731)/7
Factor -z**4/3 - 194*z**3 - 29367*z**2 - 331740*z - 974700.
-(z + 6)**2*(z + 285)**2/3
Determine u so that -u**2/5 - 2941*u + 161876/5 = 0.
-14716, 11
Solve -6*t**2/7 - 173382*t = 0.
-202279, 0
What is s in -5*s**2/3 + 194*s/3 + 365 = 0?
-5, 219/5
Find v, given that 2*v**2/7 - 52184*v/7 + 104360/7 = 0.
2, 26090
Solve 3*j**2 + 2058*j + 6147 = 0 for j.
-683, -3
Factor -u**2/10 + 669*u/10 + 1346/5.
-(u - 673)*(u + 4)/10
Factor c**2/7 + 2833*c/7 + 75762/7.
(c + 27)*(c + 2806)/7
Solve -522*p**2/7 - 2048*p/7 - 10 = 0 for p.
-35/9, -1/29
Factor n**3 + 323*n**2 + 2532*n + 3780.
(n + 2)*(n + 6)*(n + 315)
Factor 425*r**2 + 3935*r/3 + 2660/3.
5*(r + 1)*(255*r + 532)/3
Factor 9573*g**2/4 + 143591*g/4 - 15.
(g + 15)*(9573*g - 4)/4
Find b such that -2*b**4 - 12*b**3 + 184*b**2 + 1740*b + 3850 = 0.
-7, -5, 11
Factor -2*b**2/13 - 21370*b/13 - 170832/13.
-2*(b + 8)*(b + 10677)/13
Determine o, given that -4*o**3 - 393228*o**2 + 786468*o - 393236 = 0.
-98309, 1
Find s such that -5*s**3/3 - 11068*s**2/3 - 2040939*s + 816966 = 0.
-1107, 2/5
What is o in 5*o**5/6 - 8675*o**4/6 + 329070*o**3 - 26654040*o**2 + 732483360*o = 0?
0, 84, 1483
Solve 4*d**2 + 31668*d - 348832 = 0.
-7928, 11
Determine g so that 5*g**4 - 20040*g**3 - 281475*g**2 - 261430*g = 0.
-13, -1, 0, 4022
Factor w**3/3 - 21*w**2 - 1849*w/3 - 595.
(w - 85)*(w + 1)*(w + 21)/3
Let 8*p**2 + 4664*p + 679778 = 0. | {
"pile_set_name": "DM Mathematics"
} |
(c) -1/349
a
Which is the second smallest value? (a) 5 (b) 0.1 (c) 234 (d) 1/7 (e) 10
d
Which is the third biggest value? (a) -1/8 (b) 3 (c) -4/5
c
Which is the fourth smallest value? (a) -4 (b) -3 (c) -7 (d) -3/8
d
What is the second smallest value in -1, -0.5, -5, 6?
-1
Which is the smallest value? (a) -0.5 (b) 2/3 (c) -0.005
a
What is the third smallest value in -4, 2, -5, 0, -9?
-4
What is the second smallest value in 0.8, 9, 45?
9
Which is the fourth biggest value? (a) 0.5 (b) 2/23 (c) 5 (d) 1/5 (e) 1.4
d
Which is the biggest value? (a) -0.03 (b) 0.5 (c) -0.01
b
Which is the second biggest value? (a) 0.2 (b) -5 (c) -12/131
c
Which is the fifth biggest value? (a) 1 (b) -29 (c) 4 (d) -3/4 (e) -4/3
b
Which is the third biggest value? (a) -1/7 (b) 3/5 (c) 1.48
a
Which is the second biggest value? (a) 1 (b) 3.7 (c) -0.4 (d) -5 (e) -1
a
What is the fourth biggest value in 0.1, -3, 1/2, 358, 3?
0.1
What is the third biggest value in -0.1, -258, 0.1?
-258
Which is the third smallest value? (a) 5 (b) 1 (c) -0.1 (d) -11
b
Which is the second smallest value? (a) 0.36 (b) -0.1 (c) 8
a
What is the fourth smallest value in 1, -6/11, 4, 387?
387
Which is the fourth biggest value? (a) -0.114 (b) 4 (c) 2 (d) 3
a
What is the third smallest value in -209, -1, -2?
-1
Which is the third biggest value? (a) -1 (b) -0.4 (c) -0.05 (d) 0
b
What is the second smallest value in -0.5, 5, 1/5, -44/3?
-0.5
What is the second smallest value in 2/41, 2, 2/9?
2/9
Which is the third biggest value? (a) 0.009 (b) -4 (c) 0.3
b
What is the third smallest value in -1, 14, 4, 0.3, 44?
4
Which is the third biggest value? (a) 9 (b) 0 (c) 5 (d) 41 (e) -0.4
c
What is the smallest value in 3/5, 4/5, 9, -5, -2/17?
-5
What is the smallest value in 4, -5, -2, -21, 7/4?
-21
Which is the second smallest value? (a) -45 (b) -0.3 (c) -0.1 (d) -38
d
Which is the third smallest value? (a) -1/5 (b) 4 (c) 3 (d) -0.6 (e) 0.3
e
What is the third biggest value in -6, -5, -722?
-722
What is the second smallest value in -8, 1/6, -0.08?
-0.08
Which is the third biggest value? (a) 4 (b) -5 (c) 18
b
Which is the second biggest value? (a) -0.2 (b) 31 (c) 3 (d) -4
c
What is the fourth smallest value in -3/2, 28, 0.4, -3?
28
What is the third biggest value in 4, 1, 6, 0.5?
1
What is the third biggest value in 3, -0.39, 0?
-0.39
What is the second biggest value in -1, -2, 0, 4?
0
Which is the third biggest value? (a) 0 (b) 4/9 (c) 1/11 (d) -12
a
What is the second biggest value in -5, 0.2, 0, 2, 66?
2
What is the third smallest value in -45, -5, 7?
7
What is the third biggest value in 0.3, -9, -13?
-13
What is the biggest value in 15, 6, -4?
15
What is the third smallest value in -0.2, -27, -1/2?
-0.2
Which is the biggest value? (a) 4 (b) -9/5 (c) -0.5
a
What is the third smallest value in 2/25, -0.2, -59?
2/25
Which is the second smallest value? (a) 12 (b) -4 (c) -2/5 (d) -2/23 (e) -26/7
e
Which is the biggest value? (a) -1/3 (b) -2.3 (c) -28 (d) 3
d
Which is the third smallest value? (a) -2 (b) 113 (c) -2/11
b
Which is the fourth biggest value? (a) -3 (b) 0.6 (c) -141 (d) -5
c
Which is the second biggest value? (a) -0.5 (b) 5 (c) -5 (d) -206 (e) 0
e
Which is the smallest value? (a) -2/23 (b) 3 (c) 23
a
What is the biggest value in 23, 27, -6?
27
Which is the third biggest value? (a) 0.244 (b) 0.1 (c) -5
c
Which is the fourth smallest value? (a) 2 (b) 0.4 (c) 1/11 (d) -4
a
Which is the fourth biggest value? (a) 1 (b) 5 (c) 2/17 (d) -0.5
d
Which is the biggest value? (a) -1 (b) 69.2 (c) -1/7 (d) -4
b
What is the biggest value in -5/2, 0, -1.42?
0
What is the fifth smallest value in 2/3, 1, 2/17, 54, 0.9?
54
Which is the fourth biggest value? (a) -0.3 (b) -11 (c) 0.1 (d) 0.5 (e) -1/4
a
Which is the fourth smallest value? (a) 2/25 (b) 3/4 (c) 72 (d) 0.3
c
What is the biggest value in 2/5, 17/4, 2/11, -8?
17/4
What is the fourth smallest value in 0.3, -1.06, 0.1, 1/6?
0.3
What is the second smallest value in 1/6, -4, -39, -0.11?
-4
What is the second smallest value in 1, -2/5, 2, -3/4?
-2/5
What is the smallest value in 29, 3/4, -0.6?
-0.6
What is the third biggest value in 5, 2/15, 0.4, -1/3, -2?
2/15
What is the second smallest value in 0, 5, 1, -208?
0
Which is the second biggest value? (a) -2/927 (b) -1 (c) 2
a
Which is the fourth smallest value? (a) -5 (b) -35.2 (c) 1/2 (d) -1
c
Which is the biggest value? (a) -3/5 (b) -1/5 (c) 0.2 (d) -9 (e) 2
e
Which is the fourth smallest value? (a) -0.2 (b) -1/10 (c) -0.4 (d) -1/65 (e) 5
d
What is the biggest value in -5, 0.2, -3, -2, 3.3?
3.3
What is the third biggest value in -14/9, 85, -1/8?
-14/9
Which is the third biggest value? (a) 0.1 (b) 0.4 (c) -9/4 (d) -4
c
What is the smallest value in -0.3, 1, -7, 2?
-7
What is the smallest value in -0.1, 0, -396, 0.3, 1?
-396
Which is the second smallest value? (a) 2 (b) -46 (c) -5 (d) -3/13
c
What is the fourth biggest value in 2/15, -2, 2/3, 5?
-2
Which is the second biggest value? (a) -81/2 (b) -2/3 (c) 4 (d) -0.04 (e) -1/5
d
Which is the fourth biggest value? (a) 20 (b) 1/11 (c) -0.3 (d) -5
d
What is the third smallest value in 1.2, -3/7, 0.2?
1.2
What is the third smallest value in 2, -2/9, -2.13?
2
What is the third biggest value in -29, 4/7, 1/6, -1?
-1
Which is the third biggest value? (a) -0.3 (b) 76 (c) 1/6
a
Which is the biggest value? (a) -0.1 (b) 0.3 (c) -81
b
What is the second biggest value in -1/2, -7, -0.135?
-1/2
Which is the biggest value? (a) 1 (b) 9/7 (c) -1 (d) 4
d
Which is the third smallest value? (a) -3 (b) -0.3 (c) -6 (d) -5 (e) 11
a
What is the second biggest value in -0.3, -4, 0.3, 3.3?
0.3
Which is the smallest value? (a) -0.5 (b) -4 (c) 0.15 (d) -2/11
b
What is the second smallest value in -3, 1/3, 124?
1/3
Which is the biggest value? (a) 26 (b) 9 (c) 2 (d) -1
a
What is the third biggest value in -4, 19, 3?
-4
What is the third biggest value in -82, 0.4, 1/3, 5?
1/3
Which is the third biggest value? (a) -3/7 (b) 0.5 (c) -2/7 (d) -0.11
c
What is the smallest value in 1/7, -2/9, 1/11?
-2/9
What is the fourth smallest value in -2, 1, -3/4, 3/20, -1/3?
3/20
Which is the third biggest value? (a) 3/4 (b) 6 (c) 2 (d) -5 (e) -1/9
a
What is the fifth smallest value in 1/7, 1/5, -5, 2/27, 0.04?
1/5
What is the third biggest value in -1, -4/5, 1?
-1
Which is the third biggest value? (a) -4 (b) 3/7 (c) 0.03
a
What is the smallest value in 2, 2/15, -7/2, 0.4?
-7/2
Which is the fourth biggest value? (a) 46 (b) -2/5 (c) 1.1 (d) 2
b
Which is the fourth biggest value? (a) -0.1 (b) 1/7 (c) -3 (d) -1/8 (e) -0.033
d
What is the biggest value in -0.04, 3, -179, 2, 4?
4
Which is the third biggest value? (a) 0.04 (b) -31 (c) 0.5
b
Which is the second smallest value? (a) -127 (b) 2 (c) -2
c
What is the biggest value in -0.4, -2/15, -23?
-2/15
Which is the smallest value? (a) 32 (b) -1/69 (c) -1
c
Which is the fourth smallest value? (a) 2 (b) 41 (c) -5/8 (d) 2/5
b
Which is the second smallest value? (a) -1/4 (b) -2 (c) 3207
a
What is the third biggest value in -11, 0.4, 4?
-11
Which is the biggest value? (a) -3 (b) 471 (c) -1
b
Which is the third smallest value? (a) -1 (b) 1 (c) -0.2 (d) -0.5 (e) -0.08
c
What is the third biggest value in 3/43, -2/5, 4, -3, -1/2?
-2/5
What is the third biggest value in 4, 0, -2, -0.032?
-0.032
Which is the smallest value? (a) -0.01 (b) 0.3 (c) -0.06 (d) 4
c
What is the second biggest value in 1/20, 17, -3/5, 0.5, 1/3?
0.5
What is the fourth biggest value in 0, 1, 1/4, 5?
0
Which is the smallest value? (a) -1/2 (b) 3 (c) 2 (d) 0 (e) -1/220
a
What is the second biggest value in -1/2, 6/61, -0.7?
-1/2
Which is the smallest value? (a) 2 (b) 21 (c) -0.5
c
What is the third biggest value in 0.4, -11/2, -4, -1/3, -3?
-3
Which is the smallest value? (a) -3.5 (b) 14 (c) -4/9 (d) -3
a
What is the second smallest value in -4, -3, 9?
-3
What is the third smallest value in 31, 3, -0.2?
31
What is the smallest value in -8, 1/56, -4/9?
-8
What is the biggest value in 2/3, 0, -7/4, 1, -3/7?
1
What is the third biggest value in 0.2, -8/9, 5, -3?
-8 | {
"pile_set_name": "DM Mathematics"
} |
+ (-1911)/(-84) - -10653*(-1)/(-4)?
False
Let i(q) = 11*q + 18*q - 31*q + 2 + q**3 - 3*q**2. Let w be i(4). Suppose -w*s = -13*s + 168. Is 41 a factor of s?
False
Suppose 0 = -24*f + 21*f - 144. Let x = f + 53. Suppose 0 = 3*o + 5*d - 75, -x*d + 30 = -5*o + 195. Is 6 a factor of o?
True
Let n be (-1 - (-9)/6)*(-12)/(-3). Suppose 6*b = 4*b + 2, n*b = 3*d - 2878. Let j = d + -659. Does 43 divide j?
True
Let d be (15/(-6))/(2 - (-18)/(-8)). Suppose -2*c - 3*c = -d. Suppose 2*o - 97 = 2*w - 365, c*w + 5*o = 233. Is w a multiple of 21?
False
Let r(q) = 2*q**2 - q. Let j(w) = 5*w**2 - 12. Let a(b) = j(b) - 2*r(b). Is a(-7) a multiple of 3?
False
Suppose -3*x + 3470 = -1363. Suppose 5*z - 3*a = x, 4*a = 5*z + 3*a - 1617. Does 18 divide z?
True
Let n(i) = -28*i**2 + 18*i**2 + 9*i + 16*i**2 + 10. Let s be n(-2). Suppose s*p = 14*p + 88. Is 14 a factor of p?
False
Let c be (-10)/20 - ((-339)/6 - -2). Suppose c*d - 65999 = 30877. Is d a multiple of 39?
True
Let o(i) = i**2 - 6*i + 17. Let u be o(5). Is u/6 - 520/(-2) a multiple of 6?
False
Suppose -6*r - 3601 = -1063. Let y = 383 - r. Is y a multiple of 40?
False
Let x be (-8)/14 + (-130)/(-7). Does 3 divide 67*(-4)/(-12) + 12/x?
False
Suppose 2*j = -2*g - 2, 3*g + 0 = -5*j - 3. Let h be 42/(-1)*(j + (-12)/14). Suppose 2*b = -3*q + h, -3*q + 2*b = -2*q - 4. Does 3 divide q?
False
Suppose 258331 + 66735 = 107*f. Is f a multiple of 14?
True
Let y(p) = 17 - 8 - 10 - 391*p**2. Let h be y(1). Does 4 divide 6/(-10) - h/20?
False
Suppose -39*z = -40*z + 31. Let x = z + 511. Is 15 a factor of x?
False
Does 17 divide 399/(-6)*(-3 - (5 + 10))?
False
Suppose 28*w = -46*w + 298146. Is w a multiple of 79?
True
Suppose 0 = f + 3, 45 = -4*z + z - 3*f. Let d be 26*(2 - z/(-8)). Suppose 0 = 8*v - 59 - d. Is 9 a factor of v?
True
Suppose 604 = -5*g + g + 4*j, -g - 151 = -3*j. Let k = 284 + g. Is 6 a factor of k?
False
Let i(x) = x**3 + 6*x**2 - 9*x + 26. Does 48 divide i(13)?
True
Let s be -1*(4/(-2) - 3). Suppose f - 1225 = -s*z, 3*z + 5*f - 700 = 35. Suppose 0 = y + y + 5*h - 105, 5*y - 5*h - z = 0. Does 9 divide y?
False
Is 40 a factor of (6 - (-2)/(-5))*10965/6 + 6?
True
Suppose 0 = -34*x - 12274 - 15130. Let p = 1958 + x. Is 29 a factor of p?
False
Suppose 5*d - 5*z = 114185, -24 = z + 3*z. Does 45 divide d?
False
Is 2/(-30) + 43687746/3915 a multiple of 23?
False
Suppose -5*x = 2*t - 9, 2*t + x = -3*t + 11. Suppose -t*w + 193 = 2*g + 13, 2*g = 4*w - 342. Let h = -51 + w. Is 36 a factor of h?
True
Suppose 3*o = y - 8534, 4*y + 11*o - 34185 = 16*o. Is y a multiple of 3?
False
Suppose w - 30*w = 174. Let d(y) = -y**3 + 5*y**2 + 22*y + 6. Is d(w) a multiple of 18?
True
Let y be (-3 + (0 - -98))*15/3. Suppose 17*j - 4300 = -y. Does 9 divide j?
True
Let c be 2 - (2 - (-6)/(-2)). Suppose 0*h - 93 = -c*h. Let u = -26 + h. Does 2 divide u?
False
Let v(b) = 39*b**2 - 45*b - 144. Is v(-8) a multiple of 25?
False
Suppose -4*q + 40 = -p, 0 = -p - q - 3*q. Let i = p + 31. Suppose -b + 5*v + 109 = 0, 0 = -5*v + i - 36. Is b a multiple of 14?
True
Let b be 1/((-4)/(-14)*(-63)/(-72)). Is 17 a factor of b/(-6)*2244/(-8)?
True
Let j(d) = d**3 - 20*d**2 + 39*d - 46. Let x be j(18). Suppose 1557 = 11*c - x*c. Is c a multiple of 14?
False
Let p(g) = -6*g**2 - 21*g - 3. Let j(c) = c**3 - 8*c**2 - 2*c + 12. Let m be j(8). Let t(f) = -f**2 + f. Let q(u) = m*t(u) + p(u). Is 20 a factor of q(-10)?
False
Let h = -47498 + 80317. Does 76 divide h?
False
Let u be (-1)/3 + (-5278)/(-21). Let w = u - 145. Let p = w - 40. Is 21 a factor of p?
False
Let o(b) = 2*b**2 + 9*b + 165. Let s(v) = -3*v**2 - 17*v - 330. Let d(x) = 5*o(x) + 2*s(x). Is d(-14) a multiple of 16?
False
Let z(s) = 6*s**2 - 77*s - 46. Let k(q) = -3*q**2 + 39*q + 24. Let v(o) = 5*k(o) + 2*z(o). Is 41 a factor of v(8)?
True
Let z = 59 + -49. Let g(d) = -6*d - 32*d**2 + 24*d**2 + z*d**2 - 1. Is g(8) a multiple of 14?
False
Let w(f) = 3 - 11 + 14*f - 4. Let r(x) = x**3 + 5*x**2 - 37*x - 99. Let l be r(-8). Does 12 divide w(l)?
False
Suppose 65*u + 105 = 86*u. Suppose -u*k + 2285 = -3*p, -85*p - 2260 = -5*k - 87*p. Does 6 divide k?
False
Let k be -1*(-100)/26 + 6/39. Suppose -a + 4*o = -4*a - 4, -2*o + 8 = k*a. Suppose i + a*p = -6, p - 2*p = 2*i - 2. Does 2 divide i?
True
Suppose 0 = -58*n - 1540 + 73692. Is n a multiple of 18?
False
Let z(m) = 5 + 0 + 20*m + 2. Let u be z(-3). Let t = u - -112. Is t a multiple of 10?
False
Let z(h) = -3*h - 10. Let c be z(-4). Suppose 3*p = 4*o - 5*o + 152, -5*o = c*p - 123. Does 2 divide p?
False
Does 234 divide 54/(-135) - (3 - 1)*56168/(-40)?
True
Is (-19)/((-171)/(-52584))*4/(-4)*3 a multiple of 42?
False
Let d(c) be the third derivative of 3/2*c**3 + 1/60*c**5 + 0*c + 0*c**4 + 28*c**2 + 0. Is d(11) a multiple of 10?
True
Let k be 62/6 - 36/108. Is (51/6)/(5/k) a multiple of 2?
False
Let a(h) = -h**3 - 18*h**2 - 18*h - 16. Let m be a(-17). Suppose -2*j = 1 - m. Suppose j*o - 108 = -4*o. Does 6 divide o?
False
Let t = -136 + 360. Suppose 9*x = 7*x + t. Suppose 4*i - x - 12 = 4*b, -4*i - 2*b + 94 = 0. Does 26 divide i?
True
Let z(n) = 8*n**2 - 57*n + 9. Let i be z(8). Suppose 0 = 4*s - i - 431. Does 7 divide s?
False
Is 91 a factor of (28/7)/(-24) + (-1031459)/(-66)?
False
Suppose -4*a + i + 673 = 0, -a + 10*i - 7*i + 171 = 0. Suppose 19*q = 1200 + a. Is q a multiple of 6?
True
Suppose 2*b - 3*n = 17, 4*b - 1 = -6*n + n. Suppose z + b = 0, 3*z - 4*z - 244 = -2*p. Does 32 divide p?
False
Suppose -26*u - 4271 = 2671. Does 21 divide 4/8 + u/(-6) + -3?
True
Let y be 0 - (2/1 - 2). Suppose -r + 2 = -y. Suppose 0 = -3*k + 6, 152 = 4*j + r*k - 528. Does 18 divide j?
False
Suppose 0 = -6*g - 14 - 130. Is 8/(-3)*162/g a multiple of 18?
True
Let b = 1 + 81. Suppose -150 = -a - 2*g, -496 = -4*a + 3*g + b. Let c = a + -88. Is c a multiple of 13?
False
Suppose 5*q - 155 = 4*r - 22, 2*q - 4*r - 58 = 0. Suppose 2*p - 35 = -3*p. Suppose 2*h - 900 = -5*y + p*h, -5*h - q = 0. Is y a multiple of 35?
True
Let l(w) = 10*w**2 - 74*w - 186. Does 15 divide l(-24)?
True
Let f = -23 - -23. Suppose -271 = i - 2*i. Suppose 3*b + b - i = -o, 5*o - 15 = f. Is 15 a factor of b?
False
Let v(f) = f**3 + 6*f**2 - 19*f - 18. Let r be v(-8). Suppose -r*k + 65 + 289 = 0. Does 28 divide k?
False
Let w(s) = 39*s + 69. Let u = 142 + -132. Is w(u) a multiple of 13?
False
Let q(p) be the first derivative of -2*p**2 + 11/3*p**3 - 4*p + 9. Does 16 divide q(-2)?
True
Suppose 0*n + 14*n - 56 = 0. Is 3 - ((-984)/3)/n a multiple of 7?
False
Is 109406/13 + ((-32)/(-312))/(14/21) a multiple of 52?
False
Suppose -m + 3041 = -3*x, 29*m + 4*x = 25*m + 12212. Does 5 divide m?
True
Suppose 0 = -39*w + 119 - 2. Suppose 0 = -14*c + 10*c - 2*o + 1498, -1128 = -3*c + w*o. Does 13 divide c?
False
Let t = 140 + 4. Let x = t - -69. Suppose y + 19 = x. Is 30 a factor of y?
False
Let x be (-498)/5 + (1 - 8/20). Is (-82)/(11/(x/2)) a multiple of 41?
True
Let d(l) = -38*l - 190. Let z be d(-5). Let y(p) = -p**3 - 2*p + 518. Is y(z) a multiple of 30?
False
Let p(v) = -11*v - 62. Let b be p(-6). Let l be (0 + -3 + 2)*-21. Suppose 3*i = -b*i + l. Does 2 divide i?
False
Is -3*(-6)/(-117) - (-3074)/377 - -10206 even?
True
Suppose -70*l + 148721 = -85309 - 14470. Does 13 divide l?
False
Suppose -c + 11*n = 6*n - 388, n = -5*c + 1940. Let w = -172 + c. Is w a multiple of 12?
True
Let b(p) be the first derivative of 5*p**3/3 + 27*p**2/2 - 5*p + 32. Does 13 divide b(-6)?
True
Suppose -4*v + 1513 = -2*r + 77, v + 2*r - 354 = 0. Suppose -v = 22*t - 2074. Is 9 a factor of t?
False
Suppose -10*u + 938 + 1322 = 0. Let j = -168 + u. Is 7 a factor of j?
False
Let l = 2458 + -1609. Let d = l + -607. Is 3 a factor of d?
False
Suppose 0 = -175*b + 180*b - 20. Is (-2422)/(-4) - b/(16/6) a multiple of 18?
False
Is 110 a factor of 1274844/483 - 8/(-14)?
True
Let c(a) = 3*a - 81. Let y be c(27). Suppose 5*b - 317 = -8*i + 5*i, -4*i + 3*b + 413 = y. Does 16 divide i?
False
Let g = 2131 - 968. Does 54 divide g?
False
Suppose -117245 = -30*q - 275. Is 9 a factor of q?
False
Is 10/145 - (423825/(-145) - 3) a multiple of 19?
True
Suppose 75*a - 68*a - 6300 = 0. Suppose 6*v - 8*v + a = 0. Is v a multiple of 18?
True
Let u(n) = 29*n + 93. Is u(3) a multiple of 20?
True
Let v(k) = k**2 + 9*k - 10. Let w be v(-10). Suppose w = -4*f - 103 + | {
"pile_set_name": "DM Mathematics"
} |
3.66434
Convert 47670.75mg to kilograms.
0.04767075
Convert 176939.154 milliseconds to weeks.
0.000292558125
How many months are there in twenty-one fifths of a century?
5040
What is 37/5 of a millennium in decades?
740
How many grams are there in one quarter of a kilogram?
250
What is 26.92431 centuries in decades?
269.2431
How many millimeters are there in 514.2669m?
514266.9
How many centimeters are there in 18532.9km?
1853290000
Convert 5.0268ns to microseconds.
0.0050268
How many months are there in 930.7017 decades?
111684.204
Convert 20.42808g to tonnes.
0.00002042808
What is thirteen quarters of a microsecond in nanoseconds?
3250
What is eleven eighths of a litre in millilitres?
1375
How many millimeters are there in 0.3848447 centimeters?
3.848447
What is 7268.568l in millilitres?
7268568
How many micrograms are there in seven quarters of a milligram?
1750
What is five quarters of a century in months?
1500
What is 11/2 of a century in months?
6600
What is 3/25 of a litre in millilitres?
120
What is 259367.61 months in centuries?
216.139675
What is 7135.12km in meters?
7135120
What is 5.30413 decades in centuries?
0.530413
How many milliseconds are there in 1241.772 hours?
4470379200
What is three eighths of a milligram in micrograms?
375
How many meters are there in 268.2952km?
268295.2
What is 95627.2 centimeters in millimeters?
956272
How many months are there in seven quarters of a decade?
210
How many millilitres are there in 3/50 of a litre?
60
What is fifty-two thirds of a hour in seconds?
62400
What is 10/9 of a week in minutes?
11200
How many millilitres are there in 61/2 of a litre?
30500
What is 9.7862 years in months?
117.4344
How many years are there in 2895.588 decades?
28955.88
How many microseconds are there in 73/5 of a millisecond?
14600
How many nanometers are there in 79.85591mm?
79855910
How many kilograms are there in 6/5 of a tonne?
1200
Convert 20222388.9 minutes to weeks.
2006.189375
What is 6/25 of a litre in millilitres?
240
What is 47.32025 weeks in seconds?
28619287.2
How many micrometers are there in 818.3926nm?
0.8183926
How many minutes are there in seven quarters of a day?
2520
What is 1481972.4 milliseconds in hours?
0.411659
What is five quarters of a centimeter in micrometers?
12500
What is 2731631.4 nanoseconds in hours?
0.0000007587865
How many nanometers are there in 73/5 of a micrometer?
14600
What is 538.8798l in millilitres?
538879.8
Convert 86.80621g to kilograms.
0.08680621
How many minutes are there in 7/2 of a week?
35280
How many decades are there in one tenth of a century?
1
How many micrograms are there in 3/40 of a milligram?
75
How many months are there in thirteen fifths of a century?
3120
What is 71358.53 millennia in years?
71358530
What is six fifths of a minute in seconds?
72
How many tonnes are there in 475.5505 milligrams?
0.0000004755505
What is 663.8929um in centimeters?
0.06638929
How many micrometers are there in 7.548882 centimeters?
75488.82
What is 1/4 of a gram in milligrams?
250
What is 3/40 of a millisecond in nanoseconds?
75000
What is 2228.77 microseconds in nanoseconds?
2228770
What is 3/5 of a centimeter in micrometers?
6000
Convert 1.177183km to nanometers.
1177183000000
What is nine tenths of a millennium in months?
10800
How many months are there in one quarter of a year?
3
How many millilitres are there in seventy-five halves of a litre?
37500
What is 5/4 of a microgram in nanograms?
1250
How many micrometers are there in 63.97319mm?
63973.19
How many litres are there in 43.98596 millilitres?
0.04398596
How many months are there in 1/60 of a millennium?
200
How many millilitres are there in 1/20 of a litre?
50
How many months are there in 71.26186 decades?
8551.4232
How many minutes are there in seventy-one thirds of a day?
34080
How many minutes are there in 32/5 of a hour?
384
How many millilitres are there in 3/50 of a litre?
60
How many centuries are there in 9.733288 decades?
0.9733288
What is 6/5 of a tonne in kilograms?
1200
What is twenty-seven halves of a meter in millimeters?
13500
How many kilometers are there in 431295.9 nanometers?
0.0000004312959
How many microseconds are there in nine tenths of a millisecond?
900
How many nanoseconds are there in 15.75961 hours?
56734596000000
Convert 6434.95 nanograms to grams.
0.00000643495
What is 0.4587922l in millilitres?
458.7922
Convert 0.1299369 days to microseconds.
11226548160
How many microseconds are there in 0.1876563 hours?
675562680
What is 1894.779t in kilograms?
1894779
What is 0.862937ug in kilograms?
0.000000000862937
Convert 0.5937417ug to nanograms.
593.7417
Convert 5769.94 hours to minutes.
346196.4
What is 69929.94 centuries in decades?
699299.4
Convert 0.914269 centimeters to kilometers.
0.00000914269
How many months are there in 1/15 of a decade?
8
What is 6/5 of a litre in millilitres?
1200
What is 6315.824 centuries in millennia?
631.5824
What is seven quarters of a year in months?
21
How many millennia are there in 0.1099502 decades?
0.001099502
Convert 8509.365 centuries to decades.
85093.65
How many nanometers are there in 15/4 of a micrometer?
3750
What is one quarter of a milligram in micrograms?
250
How many seconds are there in twenty-one fifths of a hour?
15120
How many nanoseconds are there in eleven halves of a microsecond?
5500
What is 3/8 of a tonne in kilograms?
375
Convert 9587.856 days to seconds.
828390758.4
How many minutes are there in seven halves of a week?
35280
What is 3/25 of a millennium in years?
120
How many nanograms are there in 27/5 of a microgram?
5400
Convert 156.36102 months to centuries.
0.13030085
What is 0.2628364 meters in centimeters?
26.28364
How many grams are there in 943.8751 micrograms?
0.0009438751
How many millimeters are there in 21/4 of a meter?
5250
What is 6/25 of a century in years?
24
What is 77061.53 centuries in months?
92473836
What is 290.0203 hours in nanoseconds?
1044073080000000
Convert 762549.2 hours to milliseconds.
2745177120000
How many milliseconds are there in 6/5 of a minute?
72000
What is 3.875743 hours in nanoseconds?
13952674800000
How many kilograms are there in twenty-six fifths of a tonne?
5200
How many nanograms are there in 60940.06kg?
60940060000000000
What is 12.46366 years in decades?
1.246366
What is 1/6 of a century in months?
200
How many millilitres are there in 11/2 of a litre?
5500
How many nanograms are there in thirteen quarters of a microgram?
3250
What is 93780.49 millimeters in nanometers?
93780490000
What is 564.0024 decades in centuries?
56.40024
How many litres are there in 24208.6ml?
24.2086
What is 27/4 of a litre in millilitres?
6750
What is 731.7231 tonnes in milligrams?
731723100000
How many millimeters are there in thirteen fifths of a meter?
2600
How many kilometers are there in 408.0965 nanometers?
0.0000000004080965
What is 3/40 of a milligram in nanograms?
75000
What is 121262.5 centuries in years?
12126250
How many nanograms are there in 1/20 of a milligram?
50000
How many millilitres are there in 11/2 of a litre?
5500
How many seconds are there in fifty-one fifths of a hour?
36720
How many millilitres are there in 21/5 of a litre?
4200
What is 0.2908982 decades in years?
2.908982
What is 5745.416 meters in nanometers?
5745416000000
How many nanoseconds are there in 60.48571 hours?
217748556000000
What is 7/6 of a hour in minutes?
70
How many decades are there in 6/5 of a millennium?
120
What is three eighths of a minute in milliseconds?
22500
What is 13/7 of a week in minutes?
18720
How many litres are there in 39473.65 millilitres?
39.47365
How many minutes are there in 6/5 of a day?
1728
What is 18.7456 litres in millilitres?
18745.6
What is 277.9938 weeks in nanoseconds?
168130650240000000
How many millilitres are there in 11/4 of a litre?
2750
Convert 9727.12ug to grams.
0.00972712
How many millilitres are there in 8725.769 litres?
8725769
How many millilitres are there in one quarter of a litre?
250
How many meters are there in 7708.35km?
7708350
What is 5229.634kg in nanograms?
5229634000000000
What is 730.1181 millilitres in litres?
0.7301181
How many millilitres are there in 88.19546 litres?
88195.46
How many litres are there in 27194.15 millilitres?
27.19415
What is seven q | {
"pile_set_name": "DM Mathematics"
} |
*4 + 0 + 0 + (v**3 - v**3 + v**4)*(-1 - 1 + 5) to h*v**3 + m*v + n*v**2 + g + c*v**4 and give c.
-93
Rearrange (5 - 1 + 3)*(3 + 0 - 1)*(-2 + 2 - 1)*(-5 + 11 - 8)*(1 - 1 + 2*i**3) to y + r*i**2 + d*i + o*i**3 and give y.
0
Express -4*k + 0*k + 10*k**2 + 2*k + 3*k - k**2 - 10 as m + u*k + d*k**2 and give m.
-10
Express -o**2 + 0*o**2 + 272*o**3 - 302*o**3 in the form w*o + r + c*o**3 + p*o**2 and give c.
-30
Express -31*n**3 - 2*n**2 + 34*n**3 + 2*n**4 - n**4 + 2*n in the form v*n**2 + r*n**4 + p*n + x + a*n**3 and give v.
-2
Express 749163*l**2 - 749173*l**2 + 0 + 9*l - l**4 + 2 in the form q*l**2 + n*l**3 + c*l + j*l**4 + r and give j.
-1
Rearrange 1 + 72*y + 40*y - 50*y to the form u + c*y and give u.
1
Express v**2 + 3*v**3 + v**2 - 9*v**3 - 9 + 3*v - 5*v + 0*v**2 as m + t*v + g*v**2 + x*v**3 and give g.
2
Rearrange (2 - 2*a - 2)*(512*a**2 - 373*a**2 + 1298*a**2) to y*a**2 + o*a**3 + x + k*a and give x.
0
Express (306*x - 492*x - 565*x - 160*x)*(3*x - 4*x + 0*x) as y + j*x**2 + d*x and give j.
911
Rearrange 649*c + 492*c - 881*c to the form o + k*c and give k.
260
Rearrange (2 + 0 + 0)*(447*l**2 + 1245*l**2 + 2*l - 46*l**2) - 2*l**2 - 2*l + 2*l to the form u + b*l**2 + o*l and give b.
3290
Rearrange ((-2 + 2 + 4*j)*(-1 + 5 + 3) + j + 1 - 1)*(0*j**2 + j**2 - 2*j**2) to the form s + o*j + z*j**3 + k*j**2 and give z.
-29
Express 2*l**2 + 0 + 0 + (-158 - 18*l + 158)*(-7*l - 4*l + 2*l) as z*l + w + p*l**2 and give p.
164
Express -1 + 0 + 486*h**2 - 4 + 5 as i*h + n + x*h**2 and give x.
486
Express 2726*h - 83*h + 384*h + (0 - 1 - 1)*(-1 + 1 + h) as q + i*h and give i.
3025
Rearrange (-249*n - n**2 + 11 + 37 + 250*n)*(-2*n + 0*n - 3*n) to the form l*n + g + q*n**3 + o*n**2 and give o.
-5
Express (-87*m - 359*m + 89*m)*(-7*m - m + 7*m + 2 - m**2) in the form j*m**3 + u + w*m + d*m**2 and give j.
357
Express (-67*k**2 - 5*k**2 - 38619 + 38621)*(-8 + 5*k**2 + 8) as t + a*k**4 + p*k**3 + i*k + m*k**2 and give m.
10
Express 2*g**2 - 2*g**3 - 390 + 5*g**4 + 3*g**4 + 393 in the form p + q*g + t*g**4 + v*g**2 + f*g**3 and give p.
3
Rearrange 423*f + 673*f - 764*f to the form h + d*f and give d.
332
Express 523*y**2 - 11*y + 516*y**2 + 4*y - 1041*y**2 in the form x*y + s*y**2 + p and give x.
-7
Express (6*v**3 - v**3 - 2*v**3)*(0 + 7 - 3)*(60 + 76 - 268) in the form s*v + o*v**3 + x*v**2 + g and give o.
-1584
Rearrange (-2 + 1 + 3)*(56 + 12 + 3)*(8*m - 11*m + 2 + 0) to j + r*m and give r.
-426
Express -2 - 759*d**2 - 367*d**2 - 79*d + 79*d + 0 as v*d + q*d**2 + b and give q.
-1126
Express 5*n - n - 3*n + (-n + 5*n - 3*n + (2*n + 3*n - 6*n)*(-2 + 0 + 1) - 2*n - n + 5*n)*(8 + 5 - 18) as k*n + c and give k.
-19
Express -f**2 - 10*f**4 - 2*f**2 + 21 - 19 - 5*f**2 as h*f**4 + d*f**3 + o*f**2 + t + x*f and give o.
-8
Express 172 - 172 + 146*z in the form f*z + q and give f.
146
Rearrange (-y - 5*y + 4*y)*(-8 + 78 + 78) to g + q*y and give q.
-296
Rearrange -4*d**2 + 615 + 2*d**3 + 2*d**4 - 1229 - 2*d + d**3 + 617 - d to o*d**4 + j*d**3 + g + v*d + n*d**2 and give g.
3
Rearrange (18 + 22 - w - 52)*(-1 - 1 + 4) to the form v*w + i and give i.
-24
Rearrange 1714*g**2 + 1 + 8*g**4 - 1718*g**2 + 1 + 2*g to z*g**3 + p + v*g**2 + b*g + f*g**4 and give p.
2
Rearrange 34 + 36*a**4 - 34 - 2*a**4 + 3*a**3 - 3*a**3 + (-a - 3*a**2 + a)*(4*a + 10*a**2 - 4*a) to the form r*a + o*a**2 + t*a**4 + d*a**3 + g and give t.
4
Express 6*r**2 + 175*r - 11*r**2 + 4*r**2 + 6*r**2 - 3*r**2 in the form t*r + x + y*r**2 and give y.
2
Express -26 + 31 - 5 - 288*a as o*a + l and give o.
-288
Express (3*y + y - 3*y)*(2*y**3 - 2*y**3 - 2*y**3) + 29156*y**3 - 29156*y**3 - 427*y**4 in the form g*y**4 + j*y**2 + i*y + d*y**3 + h and give g.
-429
Rearrange -3*v**2 + 0*v**2 + 4*v**2 + (-25*v - 39 + 39)*(-3*v + 2*v - v) to the form g + q*v + x*v**2 and give x.
51
Rearrange -197021 + 52*t + 197021 to o*t + c and give o.
52
Rearrange (5*c - 2*c - 4*c)*(-2*c**3 + 0*c**3 - c**3) + c**4 + 0*c**4 + 0*c**4 - 13*c**4 + 51*c**4 - 110*c**4 to i*c**2 + g*c + f*c**4 + k + n*c**3 and give f.
-68
Rearrange (25*r + 604 - 27*r + 721 - 150)*(-2 + 3 + 2) to the form n + l*r and give n.
3525
Express -17*s - 3*s**2 + s**2 + 14*s + 21*s - s in the form d*s + c*s**2 + g and give d.
17
Rearrange -33 + 9 + 32*t - 23 - 59*t + 16*t to h + z*t and give z.
-11
Rearrange -8*p**2 - 2 + p**3 + 2*p**3 + 10*p**2 to the form m + v*p + n*p**2 + g*p**3 and give n.
2
Rearrange 2*z**4 + 4*z**3 + 3 - 2 - 2*z**4 - 3*z**4 to w*z + o*z**2 + b*z**3 + t + h*z**4 and give b.
4
Express (2 + 0 - 6)*(1 + 1 + 2)*(43 - 3*u - 43) in the form c + l*u and give l.
48
Rearrange (i**2 - i**2 + 6*i**3)*(1 + 0 - 2) + 11340*i + 344*i**3 - 11340*i - 3*i**3 + 3*i**3 + i**3 to o + h*i**3 + y*i**2 + x*i and give h.
339
Rearrange -83*z + 6*z**2 - 7*z**2 + 510*z + 1 to v + i*z**2 + h*z and give v.
1
Express (-91*t - 39*t - 53*t)*(-4*t - t + 3*t + (2*t - t + 2*t)*(4 - 3 - 4)) as a + l*t**2 + q*t and give l.
2013
Rearrange 6*u**2 - 14*u**2 - 4*u**3 + 3*u**3 + 10 + 8*u**2 to the form v*u + t + s*u**3 + i*u**2 and give s.
-1
Express 117*m + 78*m + 165*m in the form j + g*m and give j.
0
Rearrange (3*k + 2*k - 4*k)*(-1 - k + 1) + 208*k**2 - 358*k**2 + 246*k**2 to t + c*k + h*k**2 and give h.
95
Express (2*n - 3*n + 0*n)*(0*n + 0*n - n)*(-129*n**2 + 621*n**2 + 19*n**2) as a*n**4 + t*n**3 + y + h*n + b*n**2 and give a.
511
Express 0*s + 121*s**2 - 47 - 42 + 89 + s in the form w + d*s**2 + r*s and give d.
121
Rearrange (0 - q + 0)*(0*q + 0*q + q**2) - 2*q**3 + 0*q**3 - 773*q + 726*q to the form m*q**2 + k + i*q + d*q**3 and give i.
-47
Rearrange (-64 + 64 + 69*s)*(2*s**2 + s**2 - s**2) to the form h*s + x*s**3 + n + u*s**2 and give x.
138
Rearrange (-1 + 1 + 2*i)*(-3 - 6 - 1)*(-1 + 2*i + 1) + 2*i - 2*i - i**2 to p*i + v + m*i**2 and give m.
-41
Express 2*j**3 + 16 - j - 17 + j**2 + j**4 - 4*j - 4*j**3 in the form f + d*j + s*j**3 + n*j**2 + i*j**4 and give n.
1
Express (2*i**2 - 3*i**2 + 3*i**2)*(-i + 2*i - 2*i) + 2*i**3 + i - 12*i**3 - 8*i**3 in the form g*i**2 + v*i + w*i**3 + y and give v.
1
Express 2*c**2 - 13*c**4 - 40463 + 0*c**2 + 40469 in the form d*c**2 + y*c**4 + a*c**3 + j*c + q and give y.
-13
Rearrange -3*n + 20*n**2 + 2*n**2 - 10*n + 2*n - 2*n**2 to the form b*n + t*n**2 + h and give b.
-11
Express (48 - 19 - 28 + 2*b)*(-6*b**3 - 13*b**3 + 2*b**3 - 2*b**3) as j*b**4 + n + z*b**2 + p*b**3 + i*b and give p.
-19
Rearrange 29*d + 26*d - 3 + 3*d**3 - 41*d - 4*d**3 + d**2 to the form j + r*d**2 + u*d + w*d**3 and give j.
-3
Rearrange 22*n**3 + 2 + 1 - 39251*n + 39252*n to b*n**3 + m*n**2 + p*n + o and give o.
3
Express (-4*t + 515 - 2*t**3 + t - 517)*(3 + 0 - 2)*(-1 + 0 + 0) in the form h + g*t + o*t**2 + w*t**3 and give g.
3
Rearrange (t + 7*t + 6*t)*(-89 - t + 89) to i + h*t**2 + y*t and give i.
0
Express 2*z**4 - z**4 + 0*z**4 + (-6*z + 0*z + 11*z)*(18*z - 2*z**3 - 18*z) in the form r*z + k*z**4 + c*z**3 + s*z**2 + l and give k.
-9
Express (-4 - 2 + 4)*(164*q - 3 + 162*q + 93*q - 410*q) in the form v + o*q and give o.
-18
Rearrange -257*l**3 + l + 258*l**3 + 3*l - 5 to b*l**3 + y*l**2 + z*l + a and give b.
1
Rearrange j + 0*j + j + (2 - 3 - 1)*(-j - 2 + 2) + (4 + 2 - 4)*(2*j + 4 - 4) + (-5*j + 3*j + 3*j)*(0 + 1 + 2) to the form d*j + r and give d.
11
Rearrange -9*j + 2*j + 1 + 6*j - 14*j to the form z + r*j and give z.
1
Express (-3*c + 11*c + c)*(-5*c**2 - 2*c + 2*c) + c**3 + 0*c**3 + 4*c**3 in the form l + f*c**2 + k*c + d*c**3 and give d.
-40
Rearrange 44 - 44 - 12*f - f - 3*f + 3*f - 2*f + 3*f - 2*f + (-f - 2*f + 2*f)*(0 - 2 + 4) + 2*f + f - 2*f + 10 - 5*f + 8 - 16 to g*f + v and give v.
2
Rearrange (6*t**2 + 2*t**2 - 4*t**2)*(3 + 3*t - 3) + 2*t**3 + 0*t**3 - 77*t + 65*t to the form h*t**2 + v*t + k*t**3 + f and give v.
-12
Rearrange 27018*z**3 - 27025*z**3 + 3 - 1 - 7*z to the form t*z**3 + j*z + g + q*z**2 and give t.
-7
Rearrange -l**4 + 4*l**4 - 2*l**4 + (2*l**3 + 2*l**3 - 2*l**3)*(-78*l - 43*l - 123*l) + 0*l**4 + l**4 + l**4 to x*l**4 + i*l**3 + u*l + b + o*l**2 and give o.
0
Rearrange -595 - j - 595 + 1188 - 2*j**3 - 8*j**2 to the form w*j**3 + f + d*j + m*j**2 and give d.
-1
Rearrange 9*a - 132*a**2 - 8*a - 3*a + 1 - 148*a**2 to k + y*a + t*a**2 and give t.
-280
Express 37*h - 3*h**3 - 39*h + 252*h**4 + h as b*h**3 + x*h**4 + d*h + y + s*h**2 an | {
"pile_set_name": "DM Mathematics"
} |
se 10?
-5
-15 (base 7) to base 4
-30
Convert -3 (base 9) to base 8.
-3
170 (base 11) to base 14
102
Convert 2 (base 6) to base 2.
10
1000 (base 3) to base 4
123
-1 (base 4) to base 16
-1
24 (base 6) to base 15
11
Convert -4a (base 12) to base 9.
-64
Convert 101100 (base 2) to base 15.
2e
Convert 143 (base 5) to base 12.
40
What is 7 (base 15) in base 8?
7
1112 (base 5) to base 8
235
6 (base 14) to base 6
10
-82 (base 11) to base 8
-132
Convert -4 (base 6) to base 12.
-4
Convert 2 (base 7) to base 6.
2
-1c (base 13) to base 10
-25
What is 47 (base 16) in base 9?
78
What is 3 (base 12) in base 16?
3
Convert -10 (base 3) to base 5.
-3
What is -250 (base 12) in base 13?
-20a
Convert -35 (base 9) to base 3.
-1012
What is -114 (base 6) in base 12?
-3a
What is 45 (base 10) in base 16?
2d
What is 27 (base 9) in base 15?
1a
-68 (base 11) to base 3
-2202
Convert -1 (base 5) to base 6.
-1
What is 14 (base 13) in base 10?
17
32 (base 8) to base 6
42
What is -5 (base 15) in base 9?
-5
-1 (base 5) to base 2
-1
0 (base 2) to base 9
0
Convert 13 (base 14) to base 16.
11
1 (base 10) to base 5
1
Convert 113 (base 4) to base 2.
10111
What is 0 (base 9) in base 16?
0
39 (base 16) to base 11
52
Convert -67 (base 14) to base 3.
-10101
What is -11 (base 9) in base 12?
-a
42 (base 13) to base 8
66
Convert 76 (base 12) to base 7.
156
Convert -10 (base 7) to base 16.
-7
Convert -114 (base 5) to base 2.
-100010
Convert -151 (base 12) to base 7.
-412
-152 (base 6) to base 5
-233
What is -8c (base 13) in base 4?
-1310
What is -3 (base 4) in base 16?
-3
Convert -1100 (base 2) to base 7.
-15
232 (base 4) to base 15
31
Convert a7 (base 14) to base 10.
147
What is -5 (base 14) in base 5?
-10
-12 (base 6) to base 7
-11
What is -100101 (base 2) in base 7?
-52
What is 5 (base 8) in base 6?
5
b (base 14) to base 15
b
Convert a (base 14) to base 10.
10
What is -230 (base 7) in base 14?
-87
Convert -20 (base 4) to base 9.
-8
Convert 224 (base 6) to base 2.
1011000
Convert -2 (base 10) to base 11.
-2
-53 (base 9) to base 7
-66
-100 (base 3) to base 8
-11
Convert -1 (base 10) to base 7.
-1
-3 (base 7) to base 15
-3
What is -26 (base 8) in base 12?
-1a
-3 (base 14) to base 6
-3
-110 (base 4) to base 14
-16
Convert 74 (base 12) to base 13.
6a
1 (base 15) to base 3
1
53 (base 7) to base 6
102
What is -293 (base 12) in base 16?
-18f
What is 110111 (base 2) in base 11?
50
What is 7 (base 12) in base 14?
7
Convert -11 (base 12) to base 6.
-21
Convert -43 (base 6) to base 5.
-102
-2 (base 8) to base 6
-2
Convert 41 (base 10) to base 8.
51
Convert 10100010 (base 2) to base 11.
138
4 (base 10) to base 3
11
What is 28 (base 9) in base 3?
222
What is 0 (base 6) in base 4?
0
Convert -6 (base 10) to base 16.
-6
Convert -113 (base 6) to base 2.
-101101
2 (base 7) to base 4
2
Convert 1 (base 14) to base 12.
1
13 (base 8) to base 14
b
What is -75 (base 8) in base 6?
-141
Convert 4 (base 8) to base 9.
4
Convert -25 (base 13) to base 15.
-21
4 (base 6) to base 14
4
-2 (base 16) to base 15
-2
-336 (base 11) to base 7
-1113
20 (base 5) to base 6
14
-7 (base 8) to base 9
-7
-10000 (base 2) to base 11
-15
Convert -4 (base 14) to base 15.
-4
What is -47 (base 15) in base 5?
-232
Convert -2 (base 16) to base 6.
-2
What is -1100 (base 2) in base 5?
-22
10 (base 6) to base 5
11
121 (base 7) to base 2
1000000
What is 17 (base 10) in base 6?
25
What is 2a (base 11) in base 13?
26
-42 (base 5) to base 9
-24
What is 10 (base 12) in base 2?
1100
111 (base 6) to base 10
43
-3 (base 6) to base 11
-3
Convert 222 (base 8) to base 7.
266
What is 2 (base 16) in base 3?
2
Convert -3d (base 14) to base 9.
-61
Convert 54 (base 8) to base 11.
40
Convert 7 (base 9) to base 3.
21
Convert -1111 (base 7) to base 8.
-620
-45 (base 12) to base 15
-38
What is 37 (base 10) in base 3?
1101
What is 1 (base 11) in base 6?
1
Convert -18 (base 10) to base 2.
-10010
What is 120 (base 3) in base 4?
33
3121 (base 4) to base 2
11011001
-1e (base 16) to base 11
-28
Convert 0 (base 2) to base 5.
0
What is 1201 (base 3) in base 11?
42
What is -3 (base 15) in base 10?
-3
What is 6 (base 15) in base 10?
6
What is 2 (base 12) in base 2?
10
Convert 8 (base 11) to base 5.
13
Convert 8 (base 15) to base 7.
11
-22 (base 6) to base 14
-10
Convert 33 (base 9) to base 13.
24
What is -62 (base 7) in base 11?
-40
61 (base 9) to base 14
3d
What is 1 (base 13) in base 4?
1
1030 (base 4) to base 7
136
3 (base 13) to base 16
3
What is -2 (base 15) in base 5?
-2
Convert 33 (base 15) to base 7.
66
Convert -53 (base 7) to base 5.
-123
What is -27 (base 8) in base 9?
-25
-47 (base 12) to base 4
-313
Convert 2 (base 4) to base 11.
2
4 (base 7) to base 5
4
What is 233 (base 7) in base 14?
8a
Convert 17 (base 11) to base 6.
30
Convert -b (base 13) to base 9.
-12
155 (base 11) to base 14
cd
What is 10110 (base 3) in base 12?
79
Convert -13 (base 7) to base 10.
-10
400 (base 5) to base 9
121
11 (base 4) to base 2
101
What is 5c (base 13) in base 6?
205
110 (base 3) to base 5
22
Convert 1101 (base 6) to base 16.
fd
What is -84 (base 11) in base 9?
-112
0 (base 10) to base 15
0
What is -4 (base 5) in base 10?
-4
104 (base 6) to base 14
2c
Convert 21 (base 5) to base 12.
b
Convert -100001 (base 2) to base 14.
-25
Convert -78 (base 12) to base 2.
-1011100
What is 7 (base 9) in base 5?
12
-1 (base 7) to base 10
-1
Convert -12 (base 3) to base 4.
-11
Convert -a3 (base 15) to base 5.
-1103
What is 3 (base 7) in base 14?
3
Convert -4 (base 11) to base 5.
-4
11012 (base 3) to base 6
305
-6 (base 13) to base 5
-11
What is -34 (base 7) in base 4?
-121
12 (base 6) to base 3
22
-3 (base 5) to base 13
-3
What is 45 (base 8) in base 9?
41
What is -151 (base 13) in base 3?
-22201
Convert 323 (base 7) to base 11.
13a
6 (base 13) to base 15
6
Convert -2c (base 16) to base 10.
-44
What is -4 (base 9) in base 11?
-4
What is 0 (base 11) in base 6?
0
-5c (base 14) to base 15
-57
What is -163 (base 7) in base 15?
-64
-1142 (base 5) to base 15
-b7
Convert -1 (base 12) to base 8.
-1
-205 (base 7) to base 14
-75
Convert b8 (base 15) to base 5.
1143
What is -15 (base 11) in base 4?
-100
Convert -3 (base 6) to base 9.
-3
Convert 13 (base 10) to base 2.
1101
3 (base 13) to base 12
3
Convert -2 (base 5) to base 11.
-2
-112 (base 4) to base 7
-31
Convert 3 (base 15) to base 10.
3
3 (base 11) to base 14
3
Convert -523 (base 7) to base 9.
-321
2011 (base 5) to base 10
256
What is -1 (base 9) in base 2?
-1
-10 (base 7) to base 2
-111
Convert 2 (base 16) to base 5.
2
3 (base 15) to base 4
3
Convert -111 (base 2) to base 11.
-7
What is 21 (base 3) in base 14?
7
6 (base 10) to base 12
6
What is 15 (base 13) in base 5?
33
-1 (base 12) to base 14
-1
Convert -72 (base 11) to base 4.
-1033
-100110 (base 2) to base 13
-2c
Convert 15 (base 9) to base 2.
1110
What is -16 (base 8) in base 6?
-22
What is -31 (base 5) in base 6?
-24
2 (base 4) to base 15
2
What is 66 (base 7) in base 13?
39
What is 31 (base 6) in base 3?
201
-2e (base 15) to base 5
-134
Convert 11100 (base 2) to base 15.
1d
-1 (base 16) to base 14
-1
-2 (base 5) to base 15
-2
-5 (base 13) to base 7
-5
What is 3 (base 15) in base 12?
3
Convert 5 (base 7) to base 15.
5
Convert 0 (base 12) to base 2.
0
Convert 100 (base 2) to base 5.
4
Convert 31 (base 13) to base 15.
2a
Convert 0 (base 14) to base 11.
0
What is 3 (base 5) in base 9?
3
Convert -b3 (base 13) to base 5.
-1041
5 (base 6) to base 8
5
-5 (base 11) to base 12
-5
-11 (base 3) to base 12
-4
Convert -6 (base 9) to base 7.
-6
What is 100110011 (base 2) in base 15?
157
Convert -4a (base 12) to base 2.
-111010
What is -2 (base 7) in base 4?
-2
2c (base 13) to base 15
28
Convert 17 (base 11) to base 4.
102
Convert a (base 12) to base 5.
20
Convert -1000 (base 2) to base 3.
-22
-30 (base 6) to base 11
-17
Convert -5 (base 7) to base 5.
-10
Convert 122 (base 6) to base 13.
3b
What is 8 (base 13) in base 14?
8
102 (base 4) to base 10
18
What is 10 (base 3) in base 15?
3
Convert 2 (base 6) to base 8.
2
Convert e (base 16) to base 6.
22
7 (base 9) to base 3
21
What is 0 (base 16) in base 9?
0
Convert 2102 (base 3) to base 14.
49
Convert -324 (base 7) to base 12.
-119
Convert -6 (base 10) to base 6.
-10
-100 (base 2) to base 14
-4
What is -4 (base 12) in base 9?
-4
Convert 5 (base 14) to base 15.
| {
"pile_set_name": "DM Mathematics"
} |
n 374*t + 361*t + 301*t - 1048*t.
-12*t
Collect the terms in 45*r + 44*r + 47*r - 125*r.
11*r
Collect the terms in -7679*h + 7641*h + 3 - 3 + h**2.
h**2 - 38*h
Collect the terms in 503238523*q**2 - 503238523*q**2 - 3*q**3.
-3*q**3
Collect the terms in 4*r**2 + 4312 + 1907 - 6219.
4*r**2
Collect the terms in 2*k**2 - 3*k**2 + 3*k**2 - 5*k.
2*k**2 - 5*k
Collect the terms in 1159*n**3 + 5*n - 18*n + 13*n.
1159*n**3
Collect the terms in 12*t + 25127 - 19*t + 6*t.
-t + 25127
Collect the terms in 61*r**3 + 0*r + 0*r - 148*r**3 + 138*r**3.
51*r**3
Collect the terms in 165*a - 113*a - 120*a.
-68*a
Collect the terms in -8*f**3 - 159 + 78 + 81 - 59*f**3.
-67*f**3
Collect the terms in -29289453190 - 2*k + 29289453190.
-2*k
Collect the terms in -2304 + 2304 - 20*h**3.
-20*h**3
Collect the terms in 1728 - 3491 + 1763 + 5*b**2.
5*b**2
Collect the terms in -2280*j + 2280*j + 19*j**3.
19*j**3
Collect the terms in 525*x - 15094*x**3 - 525*x.
-15094*x**3
Collect the terms in -4*r - 21*r**2 + 4*r - 80*r**2 + 111*r**2 - 18*r**2.
-8*r**2
Collect the terms in 6*f + 8*f + 11*f + 9*f.
34*f
Collect the terms in 5*r - 15*r**2 + 6*r - 9*r.
-15*r**2 + 2*r
Collect the terms in -65*o + 57*o + 2*o**2 - 7*o.
2*o**2 - 15*o
Collect the terms in -78 + 152 - 74 + 5*c**2 - 26*c**2.
-21*c**2
Collect the terms in -10903*d + 1529*d + 10*d**2 + 1614*d.
10*d**2 - 7760*d
Collect the terms in -79 - 13 + 2936*s**2 - 3*s**3 - 2936*s**2.
-3*s**3 - 92
Collect the terms in -71*x + 750*x - 91*x.
588*x
Collect the terms in 74*m**2 - 416*m**2 - 14*m**2.
-356*m**2
Collect the terms in -5*t**2 + 49*t**3 - 21*t**2 + 4*t**2 + 22*t**2.
49*t**3
Collect the terms in -903*o**2 - 856*o**2 + 2663*o**2 - 897*o**2.
7*o**2
Collect the terms in 757*w + 762*w + 752*w - 3023*w + 753*w.
w
Collect the terms in 21 + 9 - 30 - 721*n + 197*n.
-524*n
Collect the terms in -18 - 238*d**3 + 18 + 221*d**3.
-17*d**3
Collect the terms in 1 + 150*z + 70*z + 179*z + 76*z.
475*z + 1
Collect the terms in -1164993 + 1164993 + 2*p**2.
2*p**2
Collect the terms in 531*p**2 - 3305*p**3 - 531*p**2 + 3306*p**3.
p**3
Collect the terms in 19*y + 6*y - 12*y + 8 - 3 - 5.
13*y
Collect the terms in -166*o**2 - 39 + 4*o + 42 + 0*o.
-166*o**2 + 4*o + 3
Collect the terms in 4804*y**2 - 2344*y**2 - 2456*y**2.
4*y**2
Collect the terms in -2 + 213*k - 8 + 30.
213*k + 20
Collect the terms in -c - 2*c - 1098 - 1047 + 2145.
-3*c
Collect the terms in 11 + 14*t + 26*t - 10 - 5*t.
35*t + 1
Collect the terms in r**3 - 68*r**2 - 137*r**2 + 187*r**2 + 0 + 0.
r**3 - 18*r**2
Collect the terms in -295*c + 693*c**3 + 295*c.
693*c**3
Collect the terms in 1596*n**3 + 1574*n**3 - 3183*n**3.
-13*n**3
Collect the terms in -667 - 11*h**3 + 0*h**2 + 0*h**2 + 667.
-11*h**3
Collect the terms in -36 - 777*p + 387*p + 389*p.
-p - 36
Collect the terms in 3502*q**2 + 2*q + 3532*q**2 - 7004*q**2 + 0*q - 5*q.
30*q**2 - 3*q
Collect the terms in -123*j - 106 + 98 - 66*j.
-189*j - 8
Collect the terms in 683*j + 23 + 18*j**2 - 683*j - 23.
18*j**2
Collect the terms in 8*i**3 + 28*i**3 - 30738*i + 30738*i.
36*i**3
Collect the terms in -766*w + 214*w + 630*w + 2 - 2.
78*w
Collect the terms in -342*a**3 - 140*a**2 - 136*a**3 + 69*a**2 + 72*a**2.
-478*a**3 + a**2
Collect the terms in 69 + 2 + 78 + 74 - 11*t - 223.
-11*t
Collect the terms in -5*u**2 - 1 - 9 + 4978*u + 10 - 4978*u.
-5*u**2
Collect the terms in 135*v - 439*v + 2*v**2 + 136*v + 168*v.
2*v**2
Collect the terms in o**2 + 7691 + 7681 - 3*o**3 - 15372 + 5*o**3.
2*o**3 + o**2
Collect the terms in c - 1985262 + 3970530 - 1985268.
c
Collect the terms in -8 - 5 + 66*y - 3*y + 10.
63*y - 3
Collect the terms in -1473*l + 721*l + 756*l.
4*l
Collect the terms in 26 + 112 + 5*i**2 + 125.
5*i**2 + 263
Collect the terms in -7986*f - 1758*f - 7717*f - 1367*f.
-18828*f
Collect the terms in 5229801*h**2 - 1743269*h**2 - 1743261*h**2 - 1743269*h**2.
2*h**2
Collect the terms in -8*f**2 - 191 + 75 + 116.
-8*f**2
Collect the terms in -65*x + 10*x - 127*x - 33*x + 26*x.
-189*x
Collect the terms in -3249*z - 3261*z + 6520*z.
10*z
Collect the terms in 41*y - 5*y + 88*y - 32*y + 6*y.
98*y
Collect the terms in -430496*c**2 + 430496*c**2 + 3*c**3.
3*c**3
Collect the terms in -6658*f**3 + 3052*f**3 + 3609*f**3.
3*f**3
Collect the terms in 0*c**2 + 0*c**2 - 12512*c**3.
-12512*c**3
Collect the terms in -y**3 - 8868*y + 8868*y - 3*y**3.
-4*y**3
Collect the terms in 49*b - 18 + 21 + 32 - 52*b.
-3*b + 35
Collect the terms in -1717 + 8*k + 1717.
8*k
Collect the terms in -12*r**2 - 7*r**2 - 3*r**2 - 4*r**2 + 0*r**2.
-26*r**2
Collect the terms in 918*j - 1859*j + 922*j.
-19*j
Collect the terms in 32 - 99 + 33 - 13691*m + 34.
-13691*m
Collect the terms in 647*d - 1673*d + 828*d.
-198*d
Collect the terms in -349*f + 385*f - 187*f.
-151*f
Collect the terms in 9*i**3 - 5*i**3 + 17*i**3 - 8*i**3 + 10*i**3.
23*i**3
Collect the terms in -398*i - 90*i + 483*i.
-5*i
Collect the terms in -12*r + 2*r - 2*r + 16*r - 3 + 0*r.
4*r - 3
Collect the terms in -346*h - 328*h + 678*h.
4*h
Collect the terms in 150*a**2 - 312*a**2 + 154*a**2 - 4.
-8*a**2 - 4
Collect the terms in -9*p + 10*p - 5*p**3 - 19*p - 10*p + 28*p.
-5*p**3
Collect the terms in -17 - 2 - 18 - 1 - 2*g**2 - 4 + 72.
-2*g**2 + 30
Collect the terms in -2*p - 161 + 161 - 4*p + 726*p**2 + 7*p.
726*p**2 + p
Collect the terms in 1 - 3 + 93*q**3 + 2 - 63*q**3.
30*q**3
Collect the terms in -135*i - 1357*i - 1220*i - 42*i.
-2754*i
Collect the terms in 6*h**3 - 419*h - 436*h + 1291*h - 436*h.
6*h**3
Collect the terms in -7554*c - 7570*c + 15148*c.
24*c
Collect the terms in 10*o - 6*o - 20*o - 13*o.
-29*o
Collect the terms in -89*w + 91*w - 89 + 91.
2*w + 2
Collect the terms in -196*o + 770*o + 3 - 549*o.
25*o + 3
Collect the terms in 46*n**3 + 6*n**3 - 18*n**3.
34*n**3
Collect the terms in 22*k + 10*k**2 - 22*k - 6188 + 6188.
10*k**2
Collect the terms in 11756*a + 17385*a - 29137*a.
4*a
Collect the terms in 88 + 8322*n**2 - 88.
8322*n**2
Collect the terms in -8*x**2 + 299*x - 299*x - 6*x**2.
-14*x**2
Collect the terms in 11*a - 11*a + 50*a**2 - 685*a**2.
-635*a**2
Collect the terms in 4434*k**2 - 188*k**2 + 3212*k**2 - 1234*k**2.
6224*k**2
Collect the terms in -8*g + 19 + 4 - 48 + 13 + 12.
-8*g
Collect the terms in 6466*p**2 - 413*p**2 + 1518*p**2 + 1475*p**2.
9046*p**2
Collect the terms in 115067*j + 115037*j - 230062*j.
42*j
Collect the terms in -1397 + 2788 + 22*r - 1393.
22*r - 2
Collect the terms in -5686*j - 497*j + 1 - 1.
-6183*j
Collect the terms in 48 - 8 + 46*n**3 - 92 + 52 - 3*n**2.
46*n**3 - 3*n**2
Collect the terms in -369*p**3 + 4 + 769*p**3 - 380*p**3.
20*p**3 + 4
Collect the terms in 37*a**2 + 19*a**2 - 71*a**2 + 49*a**2.
34*a**2
Collect the terms in 544*c**3 + 542*c**3 + 43*c**3.
1129*c**3
Collect the terms in -25*v - 160*v - 120*v - 14*v - 33*v.
-352*v
Collect the terms in -67*d + 14*d**2 + 0*d**2 - 13*d**3 - 14*d**2.
-13*d**3 - 67*d
Collect the terms in -608*x**2 - x**3 + 1257*x**2 - 649*x**2.
-x**3
Collect the terms in 94*a**2 - 60*a**2 - 43*a**2 - 3 - 46*a**2 + 6 - 4.
-55*a**2 - 1
Collect the terms in 12 - 37 + 3 + 17 + 22*g.
22*g - 5
Collect the terms in -6 + 1419*l**2 + 6.
1419*l**2
Collect the terms in 70343*q**3 - 35106*q**3 - 35245*q**3.
-8*q**3
Collect the terms in 377*l - 53 - 2*l**2 + 374*l - 2*l**3 - 751*l.
-2*l**3 - 2*l**2 - 53
Collect the terms in 517 + 2405*v - 517.
2405*v
Collect the terms in 7 + 14*j**3 - 23*j**3 + 0 - 23*j**3.
-32*j**3 + 7
Collect the terms in r**2 + r**2 + 186 + 0*r**2 + r**2.
3*r**2 + 186
Collect the terms in -493*t**3 - 498*t**3 + 982*t**3.
-9*t**3
Collect the terms in 4703356*v + 4 - 4 - 4703355*v.
v
Collect the terms in 267 + 275 - 542 - 44*v.
-44*v
Collect the terms in 98*n**2 + 1 - 90*n**2 - 5*n**2 - 1.
3*n**2
Collect the terms in 2207 + 2*g**2 + 2208 + 2208 + 0*g**2 - 6623.
2*g**2
Collect the terms in -52 + 218 + 3*c - 8*c**2 - 3*c + 3*c**3.
3*c**3 - 8*c**2 + 166
Collect the terms in 6360*y + 185*y + 10127*y.
16672*y
Collect the terms in -550 + 25*j**3 + 274 + 276.
25*j**3
Collect the terms in -2 - 33 + 36 - 3 + 16*b**3 + 2.
16*b**3
Collect the terms in 1122*o**3 + 1106*o**3 - 2226*o**3 - 221*o**2.
2*o**3 - 221*o**2
Collect the terms in -71724477*w**2 + 71724477*w**2 - 4*w**3.
-4*w**3
Collect the terms in -229*t**2 - 55*t**2 + 223*t**2.
-61*t**2
Collect | {
"pile_set_name": "DM Mathematics"
} |
/20 and 73/7112.
35560
Calculate the least common multiple of 489 and 9.
1467
What is the smallest common multiple of 36 and 15?
180
What is the smallest common multiple of 20 and 48?
240
What is the least common multiple of 2770 and 6?
8310
Calculate the smallest common multiple of 88 and 48.
528
Calculate the least common multiple of 2128 and 133.
2128
Find the common denominator of 37/18 and -17/588.
1764
What is the least common multiple of 4 and 29776?
29776
Calculate the common denominator of -107/42 and 119/90.
630
Calculate the least common multiple of 480 and 1040.
6240
Calculate the common denominator of 35/9 and 121/4212.
4212
What is the common denominator of -163/4140 and -25/1656?
8280
Calculate the common denominator of 52/7 and 39/8.
56
Calculate the lowest common multiple of 88 and 112.
1232
What is the smallest common multiple of 471 and 21?
3297
Calculate the common denominator of 22/5 and -19/5.
5
Calculate the smallest common multiple of 10384 and 7552.
83072
Calculate the lowest common multiple of 112 and 144.
1008
What is the smallest common multiple of 365 and 20?
1460
Calculate the common denominator of -48/11 and 19/99.
99
What is the least common multiple of 1856 and 64?
1856
Calculate the least common multiple of 120 and 10.
120
Calculate the smallest common multiple of 6 and 3807.
7614
Find the common denominator of -89/900 and -157/360.
1800
Calculate the smallest common multiple of 50 and 18.
450
Find the common denominator of 25/2158 and -111/130.
10790
Calculate the common denominator of -87/616 and 25/224.
2464
Calculate the common denominator of 103/24 and 61/8.
24
Find the common denominator of -38/9 and -36/163.
1467
Calculate the common denominator of -5/581 and -91/332.
2324
What is the least common multiple of 7310 and 731?
7310
What is the smallest common multiple of 276 and 78?
3588
Calculate the smallest common multiple of 46 and 11.
506
Find the common denominator of 119/36 and -41/756.
756
Find the common denominator of 89/10 and -58/5.
10
What is the common denominator of -19/40 and -71/576?
2880
Calculate the common denominator of 32/21 and 32/849.
5943
What is the common denominator of 107/60 and 77/54?
540
Find the common denominator of -131/252 and 23/3672.
25704
Calculate the least common multiple of 108 and 60.
540
Calculate the smallest common multiple of 90 and 1788.
26820
Calculate the least common multiple of 33 and 48.
528
What is the common denominator of 79/1140 and -151/1254?
12540
Calculate the least common multiple of 325 and 8.
2600
Calculate the lowest common multiple of 5 and 792.
3960
Calculate the smallest common multiple of 8 and 72.
72
What is the lowest common multiple of 52 and 72?
936
Calculate the common denominator of 56/9 and 29/222.
666
What is the least common multiple of 998 and 52?
25948
Calculate the lowest common multiple of 1980 and 240.
7920
Find the common denominator of 5/48 and 11/20.
240
Calculate the smallest common multiple of 816 and 408.
816
Find the common denominator of 31/14 and 22/1071.
2142
Calculate the least common multiple of 3 and 229.
687
What is the smallest common multiple of 126 and 126?
126
Calculate the lowest common multiple of 2416 and 13288.
26576
What is the lowest common multiple of 12118 and 11?
133298
Calculate the least common multiple of 860 and 4730.
9460
What is the smallest common multiple of 33 and 160?
5280
Calculate the common denominator of 56/39 and -151/624.
624
What is the lowest common multiple of 5353 and 2?
10706
Calculate the common denominator of -2/169 and -19/52.
676
Calculate the common denominator of -7/60 and -73/2610.
5220
Calculate the common denominator of 59/28 and -75/2.
28
What is the lowest common multiple of 35 and 40?
280
Find the common denominator of 109/70 and -191/2772.
13860
Calculate the least common multiple of 81 and 90.
810
What is the common denominator of 37/556 and -57/16?
2224
Calculate the smallest common multiple of 14518 and 18.
130662
What is the least common multiple of 231 and 105?
1155
What is the common denominator of 85/434 and -17/6?
1302
Find the common denominator of 125/924 and -137/770.
4620
Find the common denominator of -77/108 and 149/18.
108
Find the common denominator of -25/66 and 35/102.
1122
What is the common denominator of -99/1124 and 11/2?
1124
Find the common denominator of -107/600 and -169/1320.
6600
Calculate the common denominator of -49/24 and -63/1955.
46920
Calculate the lowest common multiple of 710 and 2.
710
Calculate the smallest common multiple of 17832 and 7.
124824
Calculate the common denominator of -25/10504 and -33/10.
52520
What is the lowest common multiple of 2264 and 32?
9056
Calculate the least common multiple of 112 and 14.
112
Calculate the lowest common multiple of 42 and 102.
714
What is the lowest common multiple of 120 and 32?
480
Calculate the lowest common multiple of 561 and 210.
39270
What is the common denominator of -12/31 and -83/1000?
31000
What is the common denominator of 37/13390 and -73/390?
40170
Find the common denominator of -7/65 and -62/117.
585
Calculate the smallest common multiple of 160 and 160.
160
Calculate the least common multiple of 80 and 40.
80
What is the common denominator of 59/840 and 209/1680?
1680
Calculate the least common multiple of 115 and 115.
115
Calculate the lowest common multiple of 2 and 126.
126
Find the common denominator of -113/78 and -37/104.
312
What is the lowest common multiple of 440 and 7040?
7040
Find the common denominator of -133/642 and -25/6.
642
What is the common denominator of 3/142 and 79/12?
852
What is the common denominator of -103/170 and -23/176?
14960
What is the smallest common multiple of 16 and 76?
304
Calculate the common denominator of -49/828 and 97/64.
13248
What is the least common multiple of 104 and 52?
104
Calculate the lowest common multiple of 624 and 5304.
10608
Calculate the least common multiple of 6 and 70.
210
What is the least common multiple of 5 and 5050?
5050
What is the common denominator of -27/28 and 63/52?
364
Calculate the smallest common multiple of 551 and 29.
551
Calculate the smallest common multiple of 824 and 1133.
9064
Calculate the common denominator of -55/424 and 95/4.
424
Calculate the lowest common multiple of 464 and 1218.
9744
What is the lowest common multiple of 42 and 276?
1932
What is the least common multiple of 156 and 96?
1248
What is the smallest common multiple of 2 and 104?
104
What is the least common multiple of 1 and 14101?
14101
Calculate the smallest common multiple of 64 and 32.
64
What is the common denominator of 35/2013 and -9/10?
20130
Find the common denominator of 157/30 and -83/270.
270
What is the least common multiple of 7 and 329?
329
Calculate the lowest common multiple of 205 and 9.
1845
What is the lowest common multiple of 36 and 1008?
1008
Calculate the lowest common multiple of 18 and 874.
7866
Find the common denominator of 83/21 and -53/93.
651
What is the smallest common multiple of 328 and 1968?
1968
Calculate the least common multiple of 650 and 290.
18850
Calculate the common denominator of 35/3 and 13/7305.
7305
Calculate the common denominator of -28/15 and 101/2730.
2730
Calculate the lowest common multiple of 414 and 774.
17802
What is the common denominator of 101/2330 and -143/54?
62910
Calculate the lowest common multiple of 70 and 110.
770
Calculate the least common multiple of 27 and 4.
108
What is the common denominator of -125/744 and -169/180?
11160
Calculate the common denominator of 36/23 and 68/81.
1863
What is the smallest common multiple of 22 and 52?
572
Calculate the common denominator of 71/4090 and 64/1227.
12270
What is the common denominator of 113/1392 and 0?
1392
What is the common denominator of -83/42 and -85/8?
168
Calculate the lowest common multiple of 156 and 28.
1092
Calculate the least common multiple of 132 and 12.
132
Find the common denominator of -69/20 and 59/10016.
50080
What is the common denominator of -111/1274 and -83/1456?
10192
Calculate the smallest common multiple of 21 and 231.
231
Find the common denominator of 33/20 and -34/5.
20
What is the smallest common multiple of 40 and 30?
120
What is the common denominator of 97/152 and -3/116?
| {
"pile_set_name": "DM Mathematics"
} |
1/195*x**6 + 0 + 0*x**3 + 0*x. Factor f(g).
2*g*(g - 1)*(g + 1)*(g + 4)/13
Let t(h) be the second derivative of 1 - 49/15*h**3 - 7/15*h**4 - 5*h + 0*h**2 - 1/50*h**5. Factor t(f).
-2*f*(f + 7)**2/5
Let b(a) be the third derivative of -a**6/20 - a**4/24 - a**3/3 - 2*a**2. Let q be b(-1). Factor -3*d**2 + 4*d**4 - d**3 + 5*d**2 - d**q - 4*d**3 + 0*d**3.
-d**2*(d - 2)*(d - 1)**2
Suppose 3*t + 49*t - 291 = -45*t. Factor 0 + 4/3*w**2 - 2*w + 2/3*w**t.
2*w*(w - 1)*(w + 3)/3
Let r be ((-282)/(-8))/3 + (-5)/(-20). Let y be 2/r*2 - 50/(-210). Factor 0*q**4 + 0*q**2 + 2/7*q + 0 - y*q**3 + 2/7*q**5.
2*q*(q - 1)**2*(q + 1)**2/7
Let x(c) = 4*c - 7. Let m be x(3). Suppose 3*i = m*n + 4*i, 3*n = -3*i. Determine o, given that 0 + 2/5*o**2 - 2/5*o**4 + n*o**3 + 1/5*o**5 - 1/5*o = 0.
-1, 0, 1
Let y(v) = -10*v**3 + 35*v**2 - 35*v + 10. Let l = 31 + -25. Let d(o) = 10*o**3 - 35*o**2 + 35*o - 10. Let n(w) = l*d(w) + 5*y(w). Factor n(p).
5*(p - 2)*(p - 1)*(2*p - 1)
Let y(i) be the third derivative of -i**6/120 + i**5/12 + i**4/24 - 5*i**3/6 - 187*i**2. Suppose y(w) = 0. What is w?
-1, 1, 5
Let g be ((-4)/8)/((-14)/672). Let q(x) be the first derivative of 8*x + 14*x**3 - g*x**2 - 5 + 49/2*x**4. Determine d, given that q(d) = 0.
-1, 2/7
Let u(m) be the first derivative of m**6/2 - 12*m**5/5 + 9*m**4/4 + 4*m**3 - 6*m**2 - 108. Factor u(n).
3*n*(n - 2)**2*(n - 1)*(n + 1)
Let w(s) be the first derivative of -1/24*s**6 + 1/2*s**2 - 1/3*s**3 + 1/5*s**5 - 3/16*s**4 + 0*s + 16. Determine x, given that w(x) = 0.
-1, 0, 1, 2
Let x be ((-24)/20)/((-9)/15). Let s(r) be the third derivative of 0*r + 7/2*r**4 + 0 - 2*r**3 + 5*r**x - 49/20*r**5. Suppose s(i) = 0. Calculate i.
2/7
Let i(k) = k**4 - 2*k**3 + 13*k + 7. Let r(l) = -4*l**4 + 10*l**3 - 2*l**2 - 64*l - 34. Let z(t) = 14*i(t) + 3*r(t). Factor z(v).
2*(v - 2)*(v + 1)**3
Factor 12/5 - 6*q**2 + 86/5*q.
-2*(q - 3)*(15*q + 2)/5
Let r be 14/(-8) + 2 + 7/4. Factor 14*o + 2 - r*o**2 + 20*o - 36*o + 2*o**3 + 0*o**3.
2*(o - 1)**2*(o + 1)
Solve -15 + 69*b + 19*b**4 - 4*b + 55*b**3 - 29*b**4 - 95*b**2 = 0 for b.
1/2, 1, 3
Let f = 1/28610 - -801077/85830. Factor -2/3*a**3 - 40*a + f*a**2 + 48.
-2*(a - 6)**2*(a - 2)/3
Let c(j) = -j**3 - j**2 - j - 15. Let y be c(-6). Let w = 174 - y. Solve -2/7*z**4 - 4/7*z**2 + 6/7*z**w + 0*z + 0 = 0 for z.
0, 1, 2
Let a(i) = 72*i**3 - 447*i**2 - 3099*i - 3939. Let w(z) = -7*z**3 + 45*z**2 + 310*z + 394. Let y(c) = 2*a(c) + 21*w(c). Factor y(j).
-3*(j - 22)*(j + 2)*(j + 3)
Let t(i) be the third derivative of i**8/3360 - i**6/240 - i**5/120 + 7*i**3/6 + 12*i**2. Let f(y) be the first derivative of t(y). Factor f(x).
x*(x - 2)*(x + 1)**2/2
Let k(p) = -5*p**2 + 70*p - 62. Let w be k(13). Solve -4/13*c + 2/13*c**4 - 10/13*c**2 - 6/13*c**w + 0 + 2/13*c**5 = 0 for c.
-1, 0, 2
What is m in 13*m**2 - 8*m**2 - 23*m + 30 + 2*m**2 - 6*m**2 + 12 = 0?
2, 21
Suppose g**2 - 144 + 63 + 35 + 44 + 40 + 39*g = 0. Calculate g.
-38, -1
Suppose 36/5 + 1107/5*h**3 - 15*h**5 + 51*h**4 - 312/5*h + 429/5*h**2 = 0. Calculate h.
-2, -1, 1/5, 6
Let c = 3670 - 3668. Factor 27/4*a**c + 15/4*a**3 + 0 - 3/2*a.
3*a*(a + 2)*(5*a - 1)/4
Solve 0*i + 16/3*i**3 - 50/9*i**2 + 0 + 2/9*i**4 = 0 for i.
-25, 0, 1
Determine q, given that -8/9*q**5 - 2/9*q**2 + 0*q + 2/9*q**4 + 0 + 8/9*q**3 = 0.
-1, 0, 1/4, 1
Let g be 483/(-5) - (-12)/20. Let r = 385/4 + g. Determine i so that -1/2*i + 0*i**2 + 1/4*i**4 - r + 1/2*i**3 = 0.
-1, 1
Solve -24582 + d**3 - 24569 + 8*d**2 + 17*d + 49161 = 0.
-5, -2, -1
Let v(j) be the second derivative of j**7/5040 - j**6/480 - j**5/24 - j**4 - 42*j. Let z(q) be the third derivative of v(q). Factor z(m).
(m - 5)*(m + 2)/2
Let j = -57 - -51. Let x(w) = -w**2 - 8*w - 9. Let g be x(j). Factor -2/3 - 2/9*b**2 - 10/9*b + 2/9*b**g.
2*(b - 3)*(b + 1)**2/9
Let k = 98 - 96. Let y be (k/30*1)/(45/150). Let 2/9*r + 0 + y*r**3 - 4/9*r**2 = 0. Calculate r.
0, 1
Let 2248091/8 - 1/8*r**3 - 51483/8*r + 393/8*r**2 = 0. Calculate r.
131
Let -37/6*m + 17 + 1/6*m**2 = 0. What is m?
3, 34
Suppose -31 = -5*b - 3*i, -230*b + 38 = -225*b + 4*i. Solve 0 + 2*h - 2/3*h**b = 0.
0, 3
Let g(v) = v**2 - 3*v + 2. Let a be g(1). Let p(z) be the first derivative of a*z**2 + 6 - 2/5*z**5 + 0*z + 0*z**4 + 2/3*z**3. Factor p(o).
-2*o**2*(o - 1)*(o + 1)
Let w = -17/5 - -617/180. Let q(y) be the second derivative of 0*y**2 + y + 1/20*y**5 - 1/9*y**3 + w*y**4 + 0. Factor q(a).
a*(a + 1)*(3*a - 2)/3
Suppose 8 = -9*m + 35. Factor -3*b - 4*b**2 - b - 174*b**3 + 42*b**2 + 140*b**m.
-2*b*(b - 1)*(17*b - 2)
Suppose -3*y + 2*y = -4*k + 27, 3*k - 2*y - 14 = 0. Suppose i + k = 10. Suppose 1/7*n**i + 1/7*n**4 + 3/7*n - 2/7 - 3/7*n**3 = 0. What is n?
-1, 1, 2
Let z = -37 + 42. Factor 15 - 310*k - 5*k**z + 30*k**3 - 5*k**4 - 10*k**2 + 285*k + 0*k**5.
-5*(k - 1)**3*(k + 1)*(k + 3)
Suppose 5*w + 14 = 3*i, -2*i - 5*w = -0 - 26. Let a = i + -6. Solve -3*n**a - n**2 - 2 + 4*n + 2*n**2 = 0 for n.
1
Let z = 160 - 112. Suppose 0 = -21*h - 3*h + z. Let 0 - 1/2*g**4 - g - 5/2*g**2 - h*g**3 = 0. What is g?
-2, -1, 0
Let n = -5286 - -5289. Factor -9/2*p + 3 - 21/2*p**n - 18*p**2.
-3*(p + 1)**2*(7*p - 2)/2
Let o(a) = 24*a**2 + 37*a + 34. Let d(k) = -7*k**2 - 12*k - 11. Let w(q) = 14*d(q) + 4*o(q). Determine z, given that w(z) = 0.
-9, -1
Factor -4/3*n + 4/9*n**2 + 8/9.
4*(n - 2)*(n - 1)/9
Let w = 171 - 188. Let y(d) = d**2 + 15*d - 30. Let f be y(w). Let 2/13*x - 6/13*x**2 + 0 + 6/13*x**3 - 2/13*x**f = 0. What is x?
0, 1
Let m(g) be the second derivative of -g**6/10 + 9*g**5/20 + 3*g**4/4 - 7*g**3/2 - 9*g**2 + 46*g. Let m(h) = 0. What is h?
-1, 2, 3
Let r = 2/1917 - -1268/9585. Suppose -8/15*y + 0 - r*y**2 = 0. What is y?
-4, 0
Factor 8/3 - 760/9*j**2 + 1124/9*j.
-4*(2*j - 3)*(95*j + 2)/9
Suppose 0 = 4*j - 2*d - 17 - 7, 2*j + 3*d - 12 = 0. Let w be (-4)/(-8) - (j/(-4))/(-3). Let w + 2/13*l**3 + 0*l - 4/13*l**2 = 0. Calculate l.
0, 2
Let h be (-4)/(-14) - (-1720)/(-6216). Let c = h + 109/222. Determine k, given that -c*k**3 - 1/2*k**2 + 1/2*k**4 + 0*k + 0 + 1/2*k**5 = 0.
-1, 0, 1
Suppose 3406 = -2*p - 11*p. Let b = -259 - p. Factor -2/9*m**b + 2/9*m**2 - 2/9 + 2/9*m.
-2*(m - 1)**2*(m + 1)/9
Let j(f) be the third derivative of -f**6/60 - f**5/3 - 9*f**4/4 - 6*f**3 + 52*f**2. Factor j(n).
-2*(n + 1)*(n + 3)*(n + 6)
Let b(w) be the second derivative of -w**6/30 - 2*w**5/5 - 2*w**4 - 16*w**3/3 + 9*w**2/2 + 4*w. Let x(j) be the first derivative of b(j). What is a in x(a) = 0?
-2
Let p = -2/95 + 103/380. Let r(l) be the first derivative of 0*l - p*l**4 + 2/3*l**3 - 1/2*l**2 - 3. Suppose r(w) = 0. What is w?
0, 1
Let d = 8124/7 + -16227/14. Let d*t**2 - 6 + 9/2*t = 0. What is t?
-4, 1
Let d(a) = -9*a**2 + 116*a + 244. Let o(n) = -6*n**2 + 77*n + 163. Let f(y) = -5*d(y) + 8*o(y). Solve f(m) = 0 for m.
-2, 14
Suppose z - 28 = -4*u, 6*u = 2*u + 4. Factor -2 - 6*h + z*h**2 - 2 + 66*h**3 - 80*h**3.
-2*(h - 1)**2*(7*h + 2)
Let k(s) = -s**5 + s**3 - 2*s**2 + s - 1. Let t(c) = -5*c**5 + 8*c**4 - 30*c**2 + 9*c + 10. Let d(p) = 4*k(p) - t(p). What is f in d(f) = 0?
-1, 1, 2, 7
Suppose 0*m + 2*m = 0. Suppose -4 = -m*y - y. Let z(x) = 3*x**2 - 20*x + 6. Let l(h) = h**2 - 7*h + 2. Let w(i) = y*z(i) - 11*l(i). What is d in w(d) = 0?
1, 2
Let m(g) be the second derivative of 0 - 5/2*g**3 - 5/3*g**6 + 5*g**2 + 21/4*g**5 - 25/6*g**4 + 3*g. Find r, given that m(r) = 0.
-2/5, 1/2, 1
Let a(n) be the second derivative of -2*n**6/45 + 3*n**5/5 + n**4/9 - 2*n**3 - 692*n. Factor a(r).
-4*r*(r - 9)*(r - 1)*(r + 1)/3
Let q = 73 + 13. Let u = q + -86. Let 6/7*p**4 - 2*p**2 - 2/7*p**3 + 2/7*p**5 + u*p + 8/7 = 0. What is p?
-2, -1, 1
Let h = -25053/5 + 5011. Factor -4/5*l + 0 - h*l**2.
-2*l*(l + 2)/5
Let u be -2 + (3 + 43)*-4. Let c be u/(-66) + 2/11. Factor -3*w**c + 13*w - w + 0*w + 0*w**3.
-3*w*(w - 2)*(w + 2)
Let y(a) = -4*a - 1. Let g be y(-1). Let u(h) = 51*h**2 - 21*h**2 - 29*h**2. Let t(i) = 4*i**2 - 2*i + 1. Let k(c) = g*u(c) - t(c). Solve k(s) = 0.
1
Let w(o) = 23*o - 6*o - o - 13*o**2 - 25. Let r(p) be the first derivative of -p**3 + 2*p**2 - 6*p - 1. Let i(k) = -18*r(k) + 4*w(k). Factor i(n).
2*(n - 2)**2
Let u(d) be the third derivative of d**6/96 + 29*d**5/240 + 13*d**4/32 - 3*d**3/8 - 9*d**2 - 3*d. Find g such that u(g) = 0.
-3, 1/5
Let g(y) be the first derivative of -y**4/60 - y**3/30 + 8*y - 24. | {
"pile_set_name": "DM Mathematics"
} |
= u + -175. What is the units digit of m?
5
Suppose m - 7*m + 6 = 0. Let a(s) = -s - 1. Let h(t) = t**2 - 8*t - 12. Let n(r) = m*h(r) - 3*a(r). What is the tens digit of n(9)?
2
Suppose 5*x + 3*r = 401, x + x + 3*r - 164 = 0. Let c = 67 - x. What is the units digit of (-4)/((-32)/c)*-130?
5
Suppose 18*n - 2352 = 11*n. Let i = n + 110. What is the units digit of i?
6
Let a(d) = 6*d**3 - 20*d**2 + 6*d + 27. Let w(x) = -7*x**3 + 21*x**2 - 5*x - 29. Let n(t) = -6*a(t) - 5*w(t). What is the tens digit of n(11)?
4
Let t be 39/26*(-76)/(-6). Let q(p) = -p**2 + 12*p - 40. Let a be q(t). What is the tens digit of 1 + -4 - (a + (2 - -2))?
6
Let c = 8419 + -2424. What is the thousands digit of c?
5
What is the tens digit of (5 + 4 + -8)/((-22)/(-502084))?
2
Suppose -22*o = -33*o + 5181. Suppose -o = 9*a - 1344. What is the units digit of a?
7
Let l(v) = v**3 - v**2 - v. Let i(n) = -5*n**3 + 27*n**2 - 18*n - 17. Let o(u) = -i(u) - 6*l(u). Let p be o(-22). Let z = p + 279. What is the tens digit of z?
5
Let m(k) = -4*k - 15. Let s be m(-7). Suppose -4*f - 4 = 0, f = 5*z + 2 - s. Let b(o) = 8*o**2 - 3*o + 1. What is the units digit of b(z)?
7
Let i = 20541 + 10300. What is the ten thousands digit of i?
3
Suppose 0 = -3*y - 2 + 14. Suppose 5*w + 12 = -3, -2*q + 520 = y*w. What is the tens digit of q?
6
Let o(l) be the first derivative of l**4/4 - 3*l**3 + 3*l**2 - 38*l + 24. What is the units digit of o(9)?
6
Suppose -18299 = -3*g - 5690. Let s = g + -2768. What is the hundreds digit of s?
4
Suppose -a + 2*a = -3*z + 1816, z - a = 604. Suppose 4*j - 3*u - 826 = 0, 3*j - z = -u - 4*u. What is the units digit of j?
5
Let a = -2681 - -3939. Let h = 2139 - a. What is the hundreds digit of h?
8
Suppose -4*n + 11 = q, -q + 1 = 2. Suppose 2*g - 2 = n*g, -34 = -5*t - 3*g. Suppose 3*x + 690 = t*x. What is the tens digit of x?
3
Let u be (-11*(-22)/605)/((-1)/15). Let t(q) = 41*q**2 - 26*q + 38. What is the units digit of t(u)?
0
Let c(g) = 341*g - 344. What is the ten thousands digit of c(37)?
1
Suppose 2*i - 3*b + 4*b - 25239 = 0, b + 25229 = 2*i. Suppose -i - 6185 = -17*z. What is the tens digit of z?
0
Let h(b) = 6*b. Let y be h(2). Suppose y = 9*k - 24. Suppose 2*z - k*a = 282, 5*a = z + 2*a - 146. What is the hundreds digit of z?
1
Let o(q) be the first derivative of -67*q**2/2 - 12*q + 3. Let l(y) = -2*y**2 + 33*y - 18. Let d be l(16). What is the units digit of o(d)?
2
Let f = 6202 + 5600. What is the ten thousands digit of f?
1
Suppose 14*g = -19 + 229. Suppose 0 = g*a - 16*a + 5*m + 74, -5*a + 426 = 3*m. What is the tens digit of a?
8
Let f(m) = -m**2 + 20*m - 64. Let y be f(16). Suppose -9*g + 710 - 224 = y. What is the tens digit of g?
5
Let z(p) = p**2 - 13*p + 3. Let i be z(13). Suppose w + 0*w - 3*r = -i, -r - 13 = -5*w. Suppose 10 - 58 = -w*f. What is the tens digit of f?
1
Suppose -5*t = -0*t. Suppose -9*s + 3 - 3 = t. Suppose s*a - 927 = -9*a. What is the units digit of a?
3
Suppose 432 = b + 4*a - 4245, 5*b + 5*a = 23415. What is the hundreds digit of b?
6
Let d(w) = 142*w**2 + 230*w + 904. What is the units digit of d(-4)?
6
Let y be 9*((-10)/(-25))/(6/10). Suppose -10*d + y = -7*d. What is the tens digit of 6/(396/7998) + d/(-11)?
2
Let n = -406 + 410. Suppose -368 = -a + 4*x, 5*x = -n*a + 2*x + 1415. What is the units digit of a?
6
Let f be ((-986)/(-116))/((-1)/4). Let l(q) = -15*q - 237. What is the units digit of l(f)?
3
Let n(r) = r**2 - 4*r + 323. Suppose 2*v = -v - 2*v. What is the units digit of n(v)?
3
Let z(j) = -72*j**2 - j - 2 - 308*j**2 + 3 - 14*j**2. Let c be z(1). Let i = c + 612. What is the hundreds digit of i?
2
Suppose 4467 = b - 2*d, -379*d + 377*d = -3*b + 13377. What is the tens digit of b?
5
Let i(g) = -168*g + 797. What is the thousands digit of i(-32)?
6
Suppose -15 = -4*o + o. Suppose -5*w = -5*k - 150, -28 = 4*w - 2*k - 148. Suppose o*n - 4*n + 3*x - w = 0, 3*n = x + 100. What is the tens digit of n?
3
Let t = 216 - 210. Let x(j) be the first derivative of j**2 + 19*j + 6. What is the units digit of x(t)?
1
Let o(h) = -h**3 + h**2 + 7*h - 4. Let n be o(3). Let c(k) = -91*k + 3. Let d(w) = 456*w - 15. Let s(z) = 21*c(z) + 4*d(z). What is the units digit of s(n)?
0
Let a be (2 + -5)/(1/5). Let s = a + 19. What is the tens digit of 25 - ((8/2 - s) + 0)?
2
Let i = 2 - 64. Let u = i - 22. What is the tens digit of (12/8 + -2)*1*u?
4
Let d = -2136 + 8209. What is the thousands digit of d?
6
Let j = 89 - 54. Let w = j - 39. What is the tens digit of (-79 + (-1 - w))/(-2)?
3
Let t be 8/5 + 8/20. Let c = -27 - -29. Suppose z + 4*o = -t*z + 408, -c*z + o + 283 = 0. What is the hundreds digit of z?
1
Suppose -4*c = 37*c - 545013. What is the thousands digit of c?
3
Suppose -3*y - 4*t + 150 = 22, -2*t = 5*y - 218. Suppose -188 = -s - y. What is the hundreds digit of s?
1
Let c(w) = w**3 + 18*w**2 - 48*w + 5. Let p be c(-20). Let s = 447 - p. What is the units digit of s?
2
Suppose -2*g + 101*o - 97*o = -5930, 11865 = 4*g - 3*o. What is the hundreds digit of g?
9
Let a(h) = 88*h + 1. Let p(f) = -11*f + 13. Let n be p(1). What is the hundreds digit of a(n)?
1
Suppose -2*x + 272 = 4*g, 6 = -g + 9. Let o = x + 24. Let p = o - 110. What is the units digit of p?
4
Let q(y) = y**3 - 7*y**2 - 3*y - 9. Let c be q(7). Let o be (-2 - c)*(-4 - (-65)/10). Let f = o - -44. What is the hundreds digit of f?
1
Let u = 140 - 141. What is the tens digit of -5 - (-2175)/5 - 2/u?
3
What is the units digit of (12717/(-2835) - (-22)/10)/((-2)/9478)?
2
Let i be -1 + -5 + 3 + 8. Suppose 0 = -4*m + 12, -3378 = i*q - 4*m + 3*m. What is the hundreds digit of (8/(-3))/((-5)/(q/(-2)))?
1
Let v be (-178)/(-8) - ((-36)/(-16) - 3). Let r = -17 + v. Suppose 212 = r*j - 256. What is the units digit of j?
8
Suppose 45*m - 35 - 55 = 0. Let v(t) = -4*t + 3. Let u be v(-6). Suppose 0 = -4*c + f + u, m*c - 3*f - 11 = -0*c. What is the units digit of c?
7
Let v(y) = -y**3 + 3*y + 11. Let h be v(0). Suppose -8*z = h*z - 4978. What is the hundreds digit of z?
2
What is the ten thousands digit of (44553/(-30)*10)/(-1 - 0)?
1
Let w be ((-42)/12)/1*78. What is the units digit of 3 + -1 - (w + -5) - -4?
4
Let u(i) = 29*i**2 + 343*i - 36. What is the units digit of u(20)?
4
Let z(i) = 68*i**2 + 14*i - 24. What is the tens digit of z(19)?
9
Let v = 1248 + -756. Suppose 2*y + 2*n + v = 3*y, 5*n + 1956 = 4*y. What is the units digit of y?
4
Suppose 0*t + 42 = 7*t. Suppose w + 884 = 3*c + t*w, -894 = -3*c - 3*w. What is the tens digit of c?
0
What is the units digit of 51542552/2785 - 22/10?
5
Suppose -5*n + 3*m + 36 = 5*m, 33 = 3*n + 5*m. What is the tens digit of 1813 + n + -2 + 1?
1
Suppose 2*x + 17 = -1. Let v be 211 + 1 + 4 + x. Let l = 0 + v. What is the hundreds digit of l?
2
Suppose -5*r = -5*u - 124975, 44*r + 5*u = 41*r + 74929. What is the tens digit of r?
8
Let f be 60/(-40) - (-42)/4. Let i be 33/f - ((-12)/(-9))/2. Suppose 966 = 4*s + i*s. What is the hundreds digit of s?
1
Suppose -19*n + 21*n - 1836 = 0. Let s = 1361 - n. What is the hundreds digit of s?
4
Let d = -15446 + 30291. What is the ten thousands digit of d?
1
Let f(r) = 407*r + 22. Let b(o) = 817*o + 45. Let m(q) = 3*b(q) - 5*f(q). What is the units digit of m(1)?
1
Let w = -278 - -276. What is the units digit of (-363)/w*4/(-3)*-1?
2
Suppose -12 + 75 = -9*c. Let u = 55 - c. Let t = u + -5. What is the tens digit of t?
5
Let r(h) = -16*h - 4. Let k be r(-1). Let l = k - -25. Let n = l - -35. What is the tens digit of n?
7
Suppose 105*t - 1601794 = -398557 + 514143. What is the thousands digit of t?
6
Suppose j - 106 = 271. Let i be 1/4 + j/(-4). Let k = -40 - i. What is the units digit of k?
4
Suppose 216888 = -64*b + 1691992 - 216416. What is the hundreds digit of b?
6
Suppose 5*r - p + 29 = 0, -4*r + 4*p + 10 = -5*r. What is the tens digit of (-58)/4*(-66 + r)/12?
8
Let m(d) = -77*d**2. Let b(f) = 8*f - 25. Let s be b(3). Let q be m(s). Let g = q + 91. What is the tens digit of g?
1
Suppose -2*b = 2*s - 0*b - 716, -3*b = 5*s - 1794. Suppose 5*r + s = -2*p, -521 = 3*p - 2*r - 19. Let j = p + 278. What is the units digit of j?
8
Let a = -139 - -139. Suppose -5*m - 3*l + 2045 = 0, -3*m + 3*l + 1227 = -a*m. What is the hundreds digit of m?
4
Suppose 0 = 2*y - 6, 69*m + 121710 = 72*m - y. What is the tens | {
"pile_set_name": "DM Mathematics"
} |
119
Let i(n) = 194*n - 1214. What is i(6)?
-50
Let g(c) = c**3 - 47*c**2 - 67*c + 1002. Determine g(48).
90
Let z(d) = 85*d + 1061. What is z(-12)?
41
Let r(m) = m**2 - 13*m + 53. Give r(14).
67
Let p(v) = v**3 + 28*v**2 + 69*v - 140. Calculate p(-25).
10
Let a(f) = f**2 + 12*f - 42. What is a(-11)?
-53
Let h(x) = -x**2 + 14*x + 420. What is h(22)?
244
Let s(a) = -4*a**3 + 8*a**2 + 7*a - 23. Calculate s(2).
-9
Let l(r) = r**2 - 130*r - 2181. Calculate l(145).
-6
Let r(c) = 24*c + 865. Determine r(-37).
-23
Let u(z) = 149*z + 1381. What is u(-9)?
40
Let l(b) = -b**3 + 49*b**2 + 1951*b - 87. What is l(75)?
-12
Let f(m) = 33*m + 1031. Give f(-27).
140
Let x(r) = -r**2 - 25*r - 155. Calculate x(-10).
-5
Let g(o) = 1244*o - 4326. Calculate g(4).
650
Let g(a) = -26*a - 620. Give g(-23).
-22
Let g(d) = -d**3 + 203*d**2 - 794*d - 359. Determine g(199).
39
Let f(i) = 243*i + 3. What is f(1)?
246
Let i(q) = -79*q + 509. Determine i(6).
35
Let p(w) = -131*w + 115. Determine p(-3).
508
Let u(x) = -8830*x - 158952. Give u(-18).
-12
Let c(k) = -k**3 + 14*k**2 - 10*k - 86. Calculate c(3).
-17
Let b(j) = -119*j + 9. Give b(0).
9
Let c(p) = 200*p - 25564. Calculate c(128).
36
Let q(d) = d + 54. Determine q(-3).
51
Let h(f) = 44*f + 205. What is h(-6)?
-59
Let f(k) = -k**3 - 46*k**2 + 97*k - 95. Determine f(-48).
-143
Let g(h) = -h**3 + 60*h**2 - 66*h + 403. Determine g(59).
-10
Let v(k) = 111*k**2 - 15*k + 32. What is v(3)?
986
Let j(t) = 228*t + 22. What is j(0)?
22
Let f(d) = -119*d - 3449. Determine f(-31).
240
Let j(d) = -d**2 - 3*d + 217. Give j(0).
217
Let x(j) = 226*j**3 - j**2 - 2*j + 3. Determine x(1).
226
Let c(b) = -b**3 - 96*b**2 + 398*b - 208. What is c(-100)?
-8
Let a(r) = 7*r + 72. Give a(-8).
16
Let y(i) = -94*i - 1202. Determine y(-12).
-74
Let v(l) = l**2 - 40*l - 35. What is v(38)?
-111
Let q(j) = -j**2 - 11*j + 277. What is q(-28)?
-199
Let q(n) = -n**3 + 10*n**2 + n + 3. Give q(10).
13
Let k(s) = -2*s**3 - 29*s**2 + 5*s - 51. Determine k(-15).
99
Let z(y) = 28*y**2 + 108*y - 365. Give z(-6).
-5
Let v(u) = 3*u**3 - 34*u**2 - 27*u + 18. What is v(12)?
-18
Let g(a) = -a**2 + 1963*a + 7863. Give g(-4).
-5
Let x(r) = -192*r - 381. What is x(-2)?
3
Let k(f) = -123*f - 1078. Give k(-8).
-94
Let m(b) = -3*b**2 - 61*b - 383. What is m(-9)?
-77
Let g(y) = -21*y**2 + 1288*y - 392. Give g(61).
35
Let o(r) = -66*r + 1195. What is o(19)?
-59
Let h(v) = -367*v - 729. Give h(-2).
5
Let a(n) = 11*n**3 - 6*n**2 - 9*n - 4. What is a(-1)?
-12
Let t(o) = -29*o + 1126. Give t(41).
-63
Let h(q) = -3*q**3 + 123*q**2 - 5*q - 15. What is h(41)?
-220
Let q(a) = -a**2 - 8*a + 711. What is q(23)?
-2
Let t(g) = g**2 + 2*g - 153. What is t(12)?
15
Let p(j) = -107*j + 1020. Determine p(7).
271
Let s(m) = -46*m**2 - 874*m - 16. Calculate s(-19).
-16
Let l(r) = 15*r**2 + 162*r - 46. Give l(-11).
-13
Let m(u) = -u**3 - 17*u**2 - 40*u - 164. Determine m(-15).
-14
Let x(p) = -p**3 + 15*p**2 - 12*p + 433. Calculate x(16).
-15
Let g(u) = 188*u + 754. Calculate g(-4).
2
Let j(x) = 597*x - 1689. What is j(3)?
102
Let l(d) = -12*d**3 + 2*d**2 - 20*d - 24. What is l(-1)?
10
Let b(f) = -f**3 - 18*f**2 - f - 11. Give b(-18).
7
Let l(c) = c**3 + 12*c**2 + 129*c + 1842. Determine l(-13).
-4
Let q(v) = 675*v - 4573. Give q(7).
152
Let r(g) = 2*g**2 - 87*g - 1367. Calculate r(-11).
-168
Let a(f) = 2*f**3 - 31*f**2 - 810*f + 208. Calculate a(-14).
-16
Let w(d) = -d**3 + 7*d**2 + 35*d + 83. Calculate w(12).
-217
Let o(m) = 33*m + 367. What is o(-22)?
-359
Let u(i) = 630*i - 14514. Calculate u(23).
-24
Let g(k) = 6*k + 58. Determine g(-6).
22
Let z(p) = p**3 + 7*p**2 - 192*p + 224. Calculate z(10).
4
Let s(t) = t**3 + 13*t**2 - 3*t - 3. Calculate s(-13).
36
Let x(w) = 1043*w - 38636. What is x(37)?
-45
Let n(j) = -174*j - 1936. What is n(-11)?
-22
Let v(b) = b**3 + 12*b**2 - 12*b - 162. Calculate v(-12).
-18
Let v(o) = -2*o**3 - 7*o**2 - 4*o - 21. Give v(-5).
74
Let k(u) = -33*u**3 - 4*u**2 - 8*u - 4. Determine k(-2).
260
Let d(s) = -2*s**3 + 692*s**2 - 1363*s - 4473. Calculate d(344).
-1
Let q(i) = -405*i - 29158. Determine q(-72).
2
Let j(p) = 16*p**2 - 19*p - 21. Determine j(3).
66
Let g(h) = h**2 - 86*h - 651. Calculate g(-7).
0
Let j(l) = -l**3 + 13*l**2 + 34. Determine j(10).
334
Let g(p) = -2*p**2 + 271*p - 5748. Give g(26).
-54
Let w(v) = -224*v**2 + 1569*v - 5. What is w(7)?
2
Let u(h) = 5*h**2 - 40*h - 295. What is u(13)?
30
Let n(g) = 2213*g - 11061. What is n(5)?
4
Let f(c) = c**3 - 12*c**2 + 19*c - 7. Calculate f(10).
-17
Let b(u) = -113*u - 4651. Calculate b(-41).
-18
Let c(v) = 19*v**2 + v - 646. Give c(0).
-646
Let r(u) = 2*u**2 + 12*u - 41. Give r(-5).
-51
Let q(y) = 111*y**2 + 9. Determine q(-2).
453
Let c(a) = -2*a + 115. What is c(34)?
47
Let g(v) = v**2 + 65*v + 382. Calculate g(-7).
-24
Let s(p) = -1519*p + 7598. What is s(5)?
3
Let i(v) = 59*v + 536. Give i(-12).
-172
Let p(q) = 40*q - 1812. Determine p(46).
28
Let z(y) = -y**3 + 21*y**2 - 17*y - 68. Determine z(20).
-8
Let h(z) = 22*z**2 + 3136*z - 4607. Determine h(-144).
1
Let o(x) = x**3 - 25*x**2 - 6*x + 47. Calculate o(25).
-103
Let o(n) = -3*n**2 - 10*n - 42. Calculate o(-9).
-195
Let r(i) = -72*i**2 - 1729*i - 22. Give r(-24).
2
Let q(i) = -156*i - 4004. Calculate q(-26).
52
Let f(j) = 134*j - 1485. Give f(11).
-11
Let l(h) = -h**3 - 35*h**2 - 4*h - 119. Calculate l(-35).
21
Let q(v) = 9*v - 46. Calculate q(13).
71
Let y(m) = -2*m**3 + 35*m**2 + 9*m + 53. Calculate y(18).
-109
Let a(r) = -2017*r - 8092. Calculate a(-4).
-24
Let c(d) = -16*d**2 - 80*d + 81. Calculate c(1).
-15
Let k(v) = 2387*v + 47738. Calculate k(-20).
-2
Let z(h) = -55*h - 533. What is z(-8)?
-93
Let l(m) = -3*m**2 + 57*m - 5. Give l(19).
-5
Let o(j) = -j**3 - 2*j**2 + 2*j + 93. What is o(0)?
93
Let t(c) = -9*c**3 + 71*c**2 - 94*c + 24. Give t(1).
-8
Let n(o) = o**3 + 75*o**2 - 6782*o + 249. What is n(-128)?
-7
Let j(r) = -r**3 - 23*r**2 + 330*r + 2539. Give j(-31).
-3
Let q(o) = 3*o**2 - 42*o - 337. Determine q(21).
104
Let v(r) = -11*r**2 + 53*r + 4. Calculate v(5).
-6
Let q(m) = -2*m**2 - 120*m + 12965. Calculate q(56).
-27
Let a(k) = 322*k - 8431. Determine a(26).
-59
Let p(i) = 310*i**3 + 7*i**2 + 7*i + 1. What is p(-1)?
-309
Let s(g) = 32*g**2 + 17*g - 6. What is s(-1)?
9
Let c(n) = -n**2 + 39*n + 3276. Calculate c(80).
-4
Let c(i) = -i**3 + 8*i**2 + 18*i - 13. Determine c(8).
131
Let t(c) = 67*c + 524. Calculate t(-8).
-12
Let c(v) = -v**3 + 24*v**2 + 45*v + 159. Give c(26).
-23
Let f(b) = -b**2 + 108*b - 200. Determine f(106).
12
Let i(d) = -d**2 + 2710*d - 45785. Give i(17).
-4
Let f(t) = t**3 - 24*t**2 - 141*t - 85. Determine f(29).
31
Let q(a) = a**2 - 1021*a - 19756. What is q(-19)?
4
Let c(j) = -9*j + 59. Calculate c(6).
5
Let b(d) = -d**2 - 34*d - 250. Calculate b(-23).
3
Let k(n) = -46*n + 2564. Determine k(55).
34
Let o(f) = 901*f + 4496. Determine o(-5).
-9
Let m(c) = 2*c**3 - 18*c**2 - 36*c - 13. Give m(11).
75
Let b(w) = 435*w + 15239. Determine b(-35).
14
Let q(s) = -3*s**2 - 132*s + 182. Give q(-45).
47
Let v(h) = 3*h**2 - 66*h - 229. Give v(30).
491
Let f(h) = -h**3 - 27*h**2 + 40*h + 306. Give f(-28).
-30
Let y(t) = 283*t + 1403. Give y(-5).
-12
Let y(a) = 20*a + 738. What is y(-35)?
38
Let a(l) = 14*l**2 + 167*l - 12. Give a(-12).
0
Let b(j) = -j**3 + 28*j**2 - 209*j + 281. Calculate b(16).
9
Let f(b) = -292*b + 5005. Calculate f(17).
41
Let b(z) = z**2 + 186*z - 376. Determine b(2).
0
Let m(t) = 49*t + 614. Calculate m(-11).
75
Let a(y) = 34*y**2 - 15. What is a(-2)?
121
Let l(i) = i**2 - 37*i + 383. What is l(22)?
53
Let v(m) = 107*m - 127. Calculate v(1).
-20
Let l(q) = -q**3 - 38*q**2 + 218*q + 273. Determine l(-43).
144
Let t(f) = f**2 - 4*f - 328. What is t(-16)?
-8
Let z(g) = -2*g**2 - 16*g + 2. Determine z(-16).
-254
Let f(y) = -y - 730. Calculate f(40).
-770
Let i(j) = -2*j**2 - 6*j + 158. Give i(-13).
-102
Let n(h) = -4*h**3 - 17*h**2 + 13. Determine n(-4).
-3
Let p(o) = o**3 - 84*o**2 - 3*o + 14. Determine p(0).
14
Let x(h) = -2*h**2 + 112*h - 908. What is x(10)?
12
Let w(i) = 116*i - 354. What is w(6)?
342
Let o(q) = 8*q**3 - 7*q**2 - 19*q + 6. What is o(-3)?
-216
Let r(f) = -6*f**2 + 24*f + 13. Calculate r(0).
13
Let x(a) = 547*a - 3318. Determine x(6).
-36
Let x(t) = t**3 + 8*t**2 - 10*t + 15. What | {
"pile_set_name": "DM Mathematics"
} |
001
Four letters picked without replacement from ddbaddddaaaadaddb. Give prob of sequence dadb.
9/595
Calculate prob of sequence wow when three letters picked without replacement from {o: 9, w: 11}.
11/76
Calculate prob of sequence xd when two letters picked without replacement from {d: 1, y: 2, x: 1, v: 2, g: 1}.
1/42
Calculate prob of sequence nww when three letters picked without replacement from {w: 5, n: 8, e: 2}.
16/273
Two letters picked without replacement from {t: 1, i: 3, h: 5, m: 7, q: 2}. What is prob of sequence iq?
1/51
Three letters picked without replacement from ehbbehebbeebeeeebbh. Give prob of sequence ebb.
21/323
Two letters picked without replacement from chpccnnknnhchlncn. Give prob of sequence hh.
3/136
What is prob of sequence gdbg when four letters picked without replacement from bgbbgdjgbb?
1/168
What is prob of sequence zpq when three letters picked without replacement from pzpzmpzmmpzqpmpppmpp?
1/171
Calculate prob of sequence hh when two letters picked without replacement from rhrrhrh.
1/7
Two letters picked without replacement from jjvsmsssssvjshssssdj. Give prob of sequence vd.
1/190
Three letters picked without replacement from ffaa. What is prob of sequence faf?
1/6
What is prob of sequence ji when two letters picked without replacement from {i: 1, j: 12}?
1/13
What is prob of sequence hj when two letters picked without replacement from {s: 2, l: 1, w: 1, j: 1, c: 1, h: 2}?
1/28
Two letters picked without replacement from {l: 1, q: 4, t: 6, j: 1, x: 3}. Give prob of sequence xl.
1/70
What is prob of sequence eae when three letters picked without replacement from {b: 1, a: 2, e: 12, s: 3, p: 1}?
44/969
Three letters picked without replacement from {v: 5, f: 6, e: 2}. What is prob of sequence vvf?
10/143
Four letters picked without replacement from ivikgix. Give prob of sequence ixgv.
1/280
Three letters picked without replacement from {z: 1, h: 1, p: 1, s: 2, g: 2}. What is prob of sequence gsp?
2/105
Two letters picked without replacement from {t: 2, m: 1}. What is prob of sequence tm?
1/3
Calculate prob of sequence vcc when three letters picked without replacement from {c: 3, v: 2, a: 1, h: 4, r: 1}.
2/165
Calculate prob of sequence bis when three letters picked without replacement from {v: 1, s: 2, t: 1, b: 1, i: 2}.
2/105
Three letters picked without replacement from hthhzthvh. What is prob of sequence htv?
5/252
What is prob of sequence ze when two letters picked without replacement from zwwzdwwye?
1/36
Four letters picked without replacement from jhjjjjhjphhjjj. Give prob of sequence hjjj.
12/143
Calculate prob of sequence rr when two letters picked without replacement from {x: 4, n: 2, r: 3, f: 1, u: 2}.
1/22
Calculate prob of sequence xpzp when four letters picked without replacement from {u: 1, p: 2, z: 2, x: 1}.
1/90
Calculate prob of sequence snwb when four letters picked without replacement from bbbfsbbbwnbnnnssbbsb.
4/2907
What is prob of sequence yq when two letters picked without replacement from {q: 10, y: 2}?
5/33
Two letters picked without replacement from vvdvvvvvvvvd. What is prob of sequence vv?
15/22
What is prob of sequence ar when two letters picked without replacement from {b: 1, a: 1, v: 2, p: 1, w: 2, r: 1}?
1/56
Four letters picked without replacement from cfcfa. What is prob of sequence accf?
1/30
Calculate prob of sequence uuu when three letters picked without replacement from {u: 4, v: 7}.
4/165
Three letters picked without replacement from {f: 3, m: 1, p: 5}. What is prob of sequence ffp?
5/84
Two letters picked without replacement from ouiucc. Give prob of sequence uc.
2/15
Three letters picked without replacement from {n: 4, l: 14}. Give prob of sequence nln.
7/204
Calculate prob of sequence hnd when three letters picked without replacement from {d: 3, n: 1, h: 1}.
1/20
Three letters picked without replacement from zpjlmzmmwlwmwwp. What is prob of sequence wll?
4/1365
Calculate prob of sequence hbv when three letters picked without replacement from vwheewbpp.
1/504
Calculate prob of sequence gf when two letters picked without replacement from {g: 3, v: 7, i: 6, f: 3}.
1/38
Calculate prob of sequence pee when three letters picked without replacement from eeepeepeeepe.
9/55
Two letters picked without replacement from shs. Give prob of sequence ss.
1/3
Two letters picked without replacement from {h: 1, c: 4, q: 2}. What is prob of sequence qh?
1/21
Calculate prob of sequence qpqp when four letters picked without replacement from pqppqqpqpppqqqpqqp.
6/85
Calculate prob of sequence usus when four letters picked without replacement from {s: 3, u: 2, l: 12}.
1/4760
Four letters picked without replacement from {x: 3, a: 4, i: 7}. What is prob of sequence xxia?
1/143
What is prob of sequence qf when two letters picked without replacement from qdffdffd?
1/14
Calculate prob of sequence zpv when three letters picked without replacement from {c: 1, g: 4, h: 1, z: 1, v: 1, p: 4}.
1/330
Three letters picked without replacement from {u: 2, d: 1, i: 4}. Give prob of sequence iuu.
4/105
Calculate prob of sequence ha when two letters picked without replacement from {k: 1, r: 1, h: 1, a: 2}.
1/10
Calculate prob of sequence rgj when three letters picked without replacement from jjdgjjgjgjjdjjjr.
1/112
Two letters picked without replacement from {c: 6, b: 5, d: 1, a: 5}. What is prob of sequence ba?
25/272
Calculate prob of sequence hie when three letters picked without replacement from {e: 1, k: 1, i: 1, h: 1, x: 3, p: 6}.
1/1716
What is prob of sequence md when two letters picked without replacement from {d: 5, m: 11, p: 1}?
55/272
Four letters picked without replacement from slcbkqkb. Give prob of sequence lbqs.
1/840
Calculate prob of sequence kk when two letters picked without replacement from {k: 9}.
1
What is prob of sequence ma when two letters picked without replacement from {m: 6, n: 4, a: 2}?
1/11
Four letters picked without replacement from ssevsksveevsqvwqvess. What is prob of sequence vqsq?
7/11628
Four letters picked without replacement from {h: 2, l: 2, u: 3, g: 1, m: 2, f: 2}. Give prob of sequence fghu.
1/990
Calculate prob of sequence fzzz when four letters picked without replacement from fzjjj.
0
Calculate prob of sequence zn when two letters picked without replacement from nxnznxntnxxx.
5/132
What is prob of sequence hhhi when four letters picked without replacement from {h: 3, i: 1}?
1/4
Four letters picked without replacement from {z: 4, t: 5, q: 3, v: 4}. Give prob of sequence zvzz.
1/455
Two letters picked without replacement from hffhfhhffffhf. What is prob of sequence hh?
5/39
Two letters picked without replacement from ffffffufffffuffffffu. Give prob of sequence uf.
51/380
Two letters picked without replacement from {p: 1, a: 2, n: 1}. Give prob of sequence aa.
1/6
Three letters picked without replacement from ucjchhhuuhhxjuchjbj. Give prob of sequence bjh.
4/969
Three letters picked without replacement from {w: 10, x: 2, h: 4}. Give prob of sequence hwh.
1/28
Four letters picked without replacement from ppbsappspsxpppsd. Give prob of sequence bsxd.
1/10920
Two letters picked without replacement from whkwwhhhwwwhw. What is prob of sequence wk?
7/156
Calculate prob of sequence wwbw when four letters picked without replacement from {w: 3, b: 15}.
1/816
Four letters picked without replacement from {c: 1, n: 3, y: 6, f: 3}. Give prob of sequence yyyc.
1/143
Calculate prob of sequence sx when two letters picked without replacement from dpvbxpsb.
1/56
Two letters picked without replacement from {b: 1, n: 1, c: 1, x: 2, l: 2, o: 2}. Give prob of sequence nc.
1/72
Calculate prob of sequence aawe when four letters picked without replacement from naeweenanennennww.
1/1904
Two letters picked without replacement from uiexfoxffeof. Give prob of sequence ei.
1/66
What is prob of sequence zz when two letters picked without replacement from zzz?
1
Four letters picked without replacement from {l: 4, c: 14}. What is prob of sequence cccl?
91/765
Four letters picked without replacement from tfedtewfc. Give prob of sequence wfed.
1/756
Three letters picked without replacement from {t: 4, r: 3, e: 1, q: 6}. What is prob of sequence qet?
1/91
Two letters picked without replacement from {t: | {
"pile_set_name": "DM Mathematics"
} |
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