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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" }