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2*f**4)*(0 + 0 + 3).
3*f**4 - 339
Expand 2*w**2 + 4*w**4 + 3*w**4 - 10*w**4 + 1 - w**4 - 1 + (-3*w**3 + 0*w**3 + w**3)*(0*w - 2*w + 3*w) + 0*w**4 + 2*w**4 - w**4.
-5*w**4 + 2*w**2
Expand -3*w - 3*w + 4*w + 3*w - 6*w + 2*w + (w + w + 0*w)*(2 + 1 - 2) + 2*w + 1 - 1 + 12833 + 9*w - 12833.
10*w
Expand (-72 - 649 - 536)*(3*a**5 - 2*a**5 + a**5).
-2514*a**5
Expand (0*b - b - b)*(31 - 68 + 74) + (-1 + 4 - 5)*(b - 12 + 12).
-76*b
Expand (1 - 1 + 2)*(16*f**2 + 15*f**2 + 13*f**2) - 5*f**2 + 4*f**2 + 0*f**2 + 2*f + 2.
87*f**2 + 2*f + 2
Expand (3 - 5 + 4)*(8 - 40*x - 44*x + 86*x).
4*x + 16
Expand (-6*m + 0*m + m)*(20*m**2 - 57*m**2 + 20*m**2).
85*m**3
Expand -3 - q**2 + 3 + (-329 - 32*q + 329)*(-q + q + 2*q) + 1 + q**2 - 1.
-64*q**2
Expand -5 + 0 + 4 + 5*w + w + 0*w - 2*w + (w + 3*w - 3*w)*(1 - 1 + 2).
6*w - 1
Expand -p**4 - 2*p**4 + p**4 + (1 + p**2 - 1)*(-3*p**2 + 6*p**2 - 2*p**2) + (0*p + p + 0*p)*(0*p**3 + p**3 - 3*p**3) + 30*p**4 + 1178 - 1178.
27*p**4
Expand 21 - 21 + 6*t + 2*t**2 + (-2 + 2 + 4)*(t - 4*t + 0*t)*(-1 + 1 - 2*t).
26*t**2 + 6*t
Expand (j + 1 - 1)*(-j**4 - 15 - 5 + 19 - j**2).
-j**5 - j**3 - j
Expand -c**3 - c**3 + 3*c**3 + (7*c**3 - 2*c**2 + 2*c**2)*(0 - 2 + 3) - c**3 + 0*c**3 - 2*c**3 + (c**2 - c**2 + 3*c**2)*(2 - 2 + 2*c).
11*c**3
Expand (5 + 19 - 3 + u)*(-3*u + u + 4*u + (0 + 2 - 3)*(2*u - 3*u + 5*u)).
-2*u**2 - 42*u
Expand (-c + 15 - 15)*(4*c**2 - 4*c**2 - c**2)*(49*c**2 - 49*c + 49*c).
49*c**5
Expand (1250 + 554*y**2 - 550*y**2 - 321)*(-5*y + 3*y + 0*y).
-8*y**3 - 1858*y
Expand (6 - 1 - 3)*(-6*z + 3*z + z) + 6*z + 6*z + 4*z + 2*z - 2*z - 5*z.
7*z
Expand 0*t - t - 5*t - 8 + 8 + 2*t + (-4 + 1 + 1)*(-5 + 4 - 1)*(-3*t + 7*t + 0*t).
12*t
Expand (5*w - 2*w - w)*(3*w - 6*w - w) - 2*w**2 - 155*w + 155*w + (-4 + 4 - w**2)*(-3 + 4 - 3) - 4 + 3*w**2 + 4.
-5*w**2
Expand 4*x**2 - 4*x**2 - 11*x**2 + (2*x - 2*x - x)*(4*x - 4*x + 2*x).
-13*x**2
Expand (91 - 34 + 430 - 53)*(-2*p + 0*p + 10*p).
3472*p
Expand (-10 + 10 + 6*b)*(2 - 2 - 6*b**2 + (-3*b + 0*b + b)*(b - 5*b + 3*b)).
-24*b**3
Expand (-i**3 + 0*i**3 + 2*i**3)*(32 + 16 - 16)*(-2 - 2 + 3)*(2*i + 3*i - 2*i).
-96*i**4
Expand (-43 + 8*o + 43)*(2 - 1 + 0)*(-9 + 9 + 3*o) + (0 + 0 + 2*o)*(o + 0*o + o).
28*o**2
Expand (-l + 2*l - 4*l)*(-2*l**2 + 3*l**2 + l**2)*(-2*l + 6*l - 6*l)*(-2*l - 4 + 2 + 0).
-24*l**5 - 24*l**4
Expand (-u - 4*u + 3*u)*(-u**2 - u**2 - u**2) + (-1 + 4 - 1)*(0*u**3 + 0*u**3 + u**3) - 1 + 2*u**3 + 1 + (-3*u + 1 - 1)*(-2*u**2 + 2*u**2 + 2*u**2).
4*u**3
Expand -17*i**5 - 51 + 51 + (-9*i**2 + 6 - 6)*(4*i + i**3 - 4*i).
-26*i**5
Expand (-2 - 12 + 13 + 25*h)*(-h**2 - h**2 + 4*h**2).
50*h**3 - 2*h**2
Expand 1 + 1 - 1 - f + (0*f + 4*f + 0*f)*(-1 + 0 - 3).
-17*f + 1
Expand (-1 + 0 + 3)*(-5 + 3 - 2)*(70 - 70 - 39*q).
312*q
Expand -h**4 + h**5 + h**4 + (-3*h**2 + 3*h**2 - 4*h**3)*(-4*h**2 + 3*h**2 + 5*h**2) + (-3*h + 0*h + 4*h)*(-5 + 2 + 7)*(h**4 + 0*h**4 + h**4).
-7*h**5
Expand (166 + 2*d**2 + 101 + 151 - d)*(0*d + 0*d - 2*d**2).
-4*d**4 + 2*d**3 - 836*d**2
Expand 2*h**4 - 3*h**4 - h**4 + (-h**2 + h - h)*(9*h**2 - 5*h**2 - 5*h**2).
-h**4
Expand -3*m + 5*m + 2*m + 2*m + 0*m - 3*m + (0*m - 2*m + m)*(1 - 4 + 1).
5*m
Expand (-7 - 2*b - 8 + 13)*(14*b**3 + 176*b - 176*b)*(-4 + 4 - 2*b).
56*b**5 + 56*b**4
Expand (5 - 4 + 1)*(-2 - 1 + 2)*(232 - 465 + 348)*(2 + 3 - 3)*(-4*p**2 - 2*p**3 + 4*p**2).
920*p**3
Expand (6*l - l - 4*l)*(-2*l - l - 2*l)*(-37*l - 9*l - l).
235*l**3
Expand (-1 + 2 + 1 + (0 + 3 - 2)*(-1 + 0 + 3) + 3 + 2 - 2 - 1 + 3 - 3)*(-1 - 3 + 1)*(0*d - 4*d + 2*d)*(-2 - 3 + 2).
-108*d
Expand (-443 + 30 - 828 + 197)*(3*n + 0*n - 4*n).
1044*n
Expand 47 + 2*v**2 - 47 - v**3 + (-2*v**2 - 2*v**2 + 5*v**2)*(-3 + 3 + 2*v).
v**3 + 2*v**2
Expand (-4*y + 0*y + 2*y + (-4 + 2 + 4)*(-4*y + y + 2*y) + (3 - 3 - 1)*(y - 3*y + 0*y) - 24 - y + 24)*(18*y - 130*y - 9*y).
363*y**2
Expand -24*r + r**2 + 5*r**3 + 24*r + (14*r**2 + 0*r**2 + 0*r**2)*(r - 5 + 5).
19*r**3 + r**2
Expand (2 - w - 2)*(1 - w + 14*w**2 + 27*w**3 - 74*w**3 + 44*w**3).
3*w**4 - 14*w**3 + w**2 - w
Expand (0*p - 3*p + 4*p - 1)*(-4 + 4 - p**2)*(1 - 3 + 1) + p - p + p**3 + (-17 + 6*p + 17)*(4 - 4 + 2*p**2).
14*p**3 - p**2
Expand -5*k**3 + 5*k**3 - 2*k**3 + 2*k**2 - 2*k**3 - 2*k**2 + (0*k - k**2 + 0*k)*(-k + 2*k - 4*k).
-k**3
Expand (-3 + 2*y + 3)*(0 + y + 0) - 143*y**2 - 99 + 99.
-141*y**2
Expand -y + 4*y - 2*y + 1 - 1 - 2*y + (-5 + 1 - 1)*(3 - 3 + 2*y) - 7 + 7 + 5*y.
-6*y
Expand (-4*z**4 + 0*z**4 + 8*z**4 + (-1 + 0 + 2)*(-20*z**4 + 5*z**4 - 2*z**4))*(3*z - 2*z + z).
-26*z**5
Expand 5 - 4 + 2*b**2 + 8*b**2 + (-2*b**2 + b**2 - b**2)*(5 + 2 - 3).
2*b**2 + 1
Expand (-675 + 308 - 711)*(0*y - y + 2*y).
-1078*y
Expand (3*k**2 + 4*k**2 - 6*k**2)*(129*k + 310*k - 83*k).
356*k**3
Expand (-3*h + 2*h + 0*h)*(5 - 25 - 2074*h + 18 + 2).
2074*h**2
Expand 0*k**3 + 8*k**3 + 2*k**3 - 3*k**2 + 3*k**2 - k**3 + (k + 3*k - 6*k)*(-3*k**2 + 0*k**2 + k**2) - 117 - 14*k**3 + 117.
-k**3
Expand (-4*f + 4*f + f)*(6 - 2 - 3) + 2*f - 6*f - 7*f - 21*f + 14*f + 9*f.
-8*f
Expand 0*f**5 + 2*f**5 + 3*f**5 + 3*f**5 - 3*f**5 - f**5 + 4*f**3 - 4*f**3 - 2*f**5 + (-f**4 - 2*f**4 + 4*f**4)*(0*f - 2*f + 0*f) + 0*f**5 + 0*f**5 - 2*f**5.
-2*f**5
Expand (-1 + 56*u - 149*u + 2)*(0 - 2 + 4).
-186*u + 2
Expand (14*j - 8*j + 10*j + 4*j - 9*j - 9*j - 5*j + 5*j + 2*j - 3*j + 2*j + 2*j + (0 + 5 - 2)*(3 - 2*j - 3))*(4 - 4 + j**2).
-j**3
Expand (l**4 + 0*l + 0*l)*(-24 - 23 + 26 - 2*l)*(-7 + 144 - 25).
-224*l**5 - 2352*l**4
Expand (-b + 0 + 0)*(0 - 2*b + 0) - 251 + 251 - 28*b**2.
-26*b**2
Expand (-5*w**2 - 18 + 18)*(-17*w + 362 - 363 - 10*w - 3*w).
150*w**3 + 5*w**2
Expand (144043*d**3 - 248*d**5 - d**4 - 144043*d**3)*(2 - 4 + 0).
496*d**5 + 2*d**4
Expand (a**2 + 4*a**2 - 2*a**2)*(115 - 115 + 7*a) + 2*a**3 + 2*a - 2*a.
23*a**3
Expand (-k**3 - 7*k**2 + 7*k**2)*(11*k - 3*k - k)*(-1 + 0 + 2) + 3*k**4 + 3*k**4 - 4*k**4.
-5*k**4
Expand (-f + 2*f + 2*f)*(-1 + 1 - 3)*(-1 - 1 + 3)*(97 - 11*f**4 - 97).
99*f**5
Expand (0*m**3 + 0*m**3 + m**3)*(129*m + 94*m - 476*m - 1035*m).
-1288*m**4
Expand (-11 + 11 - 29*t)*(-6*t - t**2 + t + t).
29*t**3 + 116*t**2
Expand (-16 - 34 - 118)*(2 - 2 + 1)*(4*t**4 - 5*t**3 + 5*t**3).
-672*t**4
Expand (-2*p**2 + 3*p**2 - 2*p**2)*(2*p**2 + 0*p**2 + 2196*p**3 - 7*p - 2197*p**3 - 1).
p**5 - 2*p**4 + 7*p**3 + p**2
Expand (2*m**2 + 0 + 0)*(-4*m**2 + m**3 + 4*m**2) - 605*m**4 - 3*m**5 - 2*m**3 + 605*m**4.
-m**5 - 2*m**3
Expand (-2*u - 4*u + u)*(-3*u + 7*u - 2*u + u - 4 + 4 + (0 + 2 - 4)*(3*u - 4*u + 0*u) + u - 1 + 1 - 9*u + 5*u + 13*u) - 5 - u**2 + 5.
-76*u**2
Expand -10*a**5 + 0*a**5 + a**5 - 2*a**5 + (-5 + 4 - 5)*(-14*a**5 + 11*a**5 + 10*a**5).
-53*a**5
Expand (227*z**2 - 410*z**2 - 711*z**2)*(-z**2 + 5*z**2 - 2*z**2 - z**2 + 2*z**2 + 0*z**2 + (2 + 1 - 1)*(2*z**2 + 0 + 0)).
-6258*z**4
Expand -2 + 2 + 4*n**2 + (-2*n + 2*n - 2*n)*(-3*n + 1 - 1) + 3*n**2 + 6*n**2 - 2*n**2.
17*n**2
Expand 4*b**4 - 2*b**4 - b**4 + (3702 - 179*b**3 - 3702)*(16*b + 21 - 21).
-2863*b**4
Expand (-2*h**2 - h**3 + 2*h**2 + (-3*h**2 + 2*h**2 - h**2)*(2 - 2 - h))*(49*h - h + 26*h)*(0*h - h - 3 + 1).
-74*h**5 - 148*h**4
Expand 18 - 18 + 143*k**2 - 10*k**2 + (2 - 2 + 1)*(6*k**2 - 4*k**2 - 4*k**2).
131*k**2
Expand (0*s - 5*s + 4*s)*(-5 + 2 - 2 + 2 - 4 + 1 + 0 + 1 - 3 + (-4 + 3 + 2)*(-2 - 1 + 4))*(s**3 + 3*s**3 - 2*s**3).
14*s**4
Expand (1 - 1 - 2)*(-11 - 3 + 5)*(3*l**3 + 3*l**3 - 3*l**3) + 2*l**2 - 4*l**3 + 2*l**3 + l**3.
53*l**3 + 2*l**2
Expand -49*c + 19*c + 26*c + (19*c + 27*c - 19*c)*(-2 + 3 - 3).
-58*c
Expand (-3*d - 2*d + 6*d)*(90 - 73 + 196) + 5*d + d - 3*d + (2*d - d + d)*(-2 + 0 + 3).
218*d
Expand -3 + 3 + 5*p - p - p + 4*p + (-3 + 2 + 3)*(-3*p + 6*p - 4*p) - p - p + 3*p - 4 + p + 4 + 0*p - 5 + 0*p - 2*p.
5*p - 5
Expand (-4 + 4 + 2*f)*(-51*f**2 - 99*f**2 - 74*f**2 + 169*f**2).
-110*f**3
Expand (1 - 1 + 2*z)*(-3 + 3 - 2)*(-1072*z**3 - 224 + 224).
4288*z**4
Expand ((-10 + 7 - 3)*(-4 + 1 + 2) - 4 + 4 - 1 - 7 + 3 + 2)*(2*a**3 - 2*a**3 + 2*a**5).
6*a**5
Expand i**4 + i - i + (4*i - 4*i - 2*i**3)*(-2*i + 5*i - i) + ((2*i - 2 + 2)*(-5*i + 3*i + i) - 3 + 3 + 12*i**2)*(-3*i**2 - 3*i**2 - 2*i**2).
-83*i**4
Expand (2 - 3 + 0)*(2 + 2*d - 2)*(2*d - 7 + 7)*(-3 - 2 + 7).
-8*d**2
Expand (2*h + 5*h - 5*h)*(5 - 1 - 2) - 50*h + 36 + 55*h - 50.
9*h - 14
Expand (-7*o**2 + 4*o**2 + 0*o**2)*(-12 - 8 - 10).
90*o**2
Expand - | {
"pile_set_name": "DM Mathematics"
} |
t is the third smallest value in a, -343.2, -1, 1/6?
-1
Let n = 14428 + -13668. Which is the biggest value? (a) -0.4 (b) -4 (c) 1 (d) n
d
Let i be (((-590)/75)/1)/(-1). Let k = -8 + i. Let y be 2*((-2)/6)/1. Which is the biggest value? (a) -0.2 (b) k (c) y
b
Let l = -15.8 + 16.09. Which is the fourth biggest value? (a) 2/9 (b) 21 (c) 0 (d) l
c
Let o be (3 - 2)*1 - 5. Let p be (15/4)/(153/(-36) - -4). Let y = p + 16. What is the second smallest value in y, o, -1?
-1
Suppose 4*v = -5*s + 14, -11 = -2*v + 2*s + 5. Let x(o) = -o**2 + 7*o - 9. Let p be x(v). Let d = 20/3 + -22/3. What is the biggest value in -3/2, p, -5, d?
d
Let z = 8.6 - 9. Suppose 0 = -45*v + 53*v - 32. Which is the fourth smallest value? (a) z (b) -1/3 (c) -3/7 (d) v
d
Let x = 1.4097 - 1.2297. Which is the smallest value? (a) 0 (b) -2 (c) x (d) -9
d
Let n = -222.9 + -0.1. Let k = -229 - n. What is the third biggest value in 2, 1/3, k, -4?
-4
Let g be 39/(-90) + (-1)/(-3). Let d = -3961 + 3956. What is the third smallest value in g, 7, -0.5, d?
g
Let t be ((2 - 49/28)*20)/25. Which is the fourth biggest value? (a) -2/17 (b) 2 (c) 0.11 (d) -5 (e) t
a
Let k = -1644 + 2382.2. Let r = k + -738. Which is the smallest value? (a) -0.19 (b) r (c) -0.2 (d) -1
d
Let a = 1 - 1.1. Let n be ((-55)/(-6))/(-5)*(-30)/(-120). Let w = n + -7/8. What is the second biggest value in 2/11, a, w?
a
Let u = 53 + -53.392. Let y = u - -0.42. Let s = y + 2.972. Which is the second smallest value? (a) s (b) -1/2 (c) 0.1 (d) -6
b
Let m be 4864/(-54) - (-350)/4725. Which is the biggest value? (a) 4 (b) m (c) 0
a
Let x = -16.8 + 14.05. Let j = x + 2.7. Let i = 414/5 - 82. What is the second biggest value in i, j, -1?
j
Let v = 415 - 413. Suppose -2*j = d + 2*j - 2, v*j = -2*d + 4. What is the second biggest value in d, -3, 7/2?
d
Let o be (3/(-5))/((-13270)/5300 - 15/(-6)). Let x = 71.2 + -71. Which is the second biggest value? (a) 5 (b) o (c) x
a
Let o = 876948 - 876949. Let q = -223.7 - -208. Let f = q - -15. Which is the smallest value? (a) f (b) 0 (c) o
c
Let d = -4 + 4.2. Let t = d - 4.2. Let p = 14 + t. Which is the third biggest value? (a) 1 (b) p (c) -1
c
Let i be 14/(-24) + 1/4. Let h = 12035 + -84251/7. Which is the smallest value? (a) h (b) 3 (c) i (d) 2/3
a
Let r = -9.2 - 0.8. Let m = 0.0982 - -0.4018. Which is the second biggest value? (a) -1/6 (b) m (c) r (d) -5/3
a
Let p = -504.5 - -504.2. What is the fourth biggest value in 44, p, -1/4, -2/9?
p
Let c = -17 - -12. Let v = -1.15476 - -0.65476. What is the smallest value in v, 2, c, 7.5?
c
Let v = 5264/299 - 230/13. Let t be 34/40 + 12/(-20). Which is the third smallest value? (a) 2/5 (b) v (c) -1/3 (d) t
d
Let p = 189/772 - -1/193. Let o = 2.3 - 2. What is the third biggest value in o, p, 1/6, -10?
1/6
Let z = 60.69 + -61. Let x = 0.81 + z. Let i(s) = 3*s**2 + 37*s - 116. Let y be i(-15). Which is the second biggest value? (a) x (b) 2 (c) 3 (d) y
c
Let n = 7 + -5. Let g be 0 + 0 - 6 - ((-11040)/(-140))/(-12). Which is the second biggest value? (a) -0.5 (b) g (c) n (d) -0.06
b
Let v = -1 - 3. Let q be 6*(v/9)/2. Let z be -11 + (-13 - (10 + -30)). What is the fourth smallest value in z, -1/3, q, -3/8?
-1/3
Suppose 0 = 5*z - 10, -s - z + 3*z + 30 = 0. Let o be 2/1*(2 - 70/s). Let t = -8 + 10. What is the second smallest value in 0.1, o, -6, t?
o
Let s = 169/6 - 503/18. What is the third smallest value in 2/5, -9, s?
2/5
Let j be 18/4 - (1 + -5 + 2) - 4. Let t = -0.6 + 0.1. Which is the third smallest value? (a) j (b) 3 (c) t (d) 1
a
Let h = -34.9 - -40. Let r = h - 5. Let m = -591 - -584. What is the smallest value in -3/2, r, m?
m
Let v = 1739 + -1739.5. Which is the second smallest value? (a) 6/7 (b) -47 (c) v (d) 0
c
Let f = 11.045 + -10.965. Let t = -1 - 3. Which is the fourth smallest value? (a) f (b) -0.5 (c) t (d) -5
a
Let h = 72 - 53.6. Let s = h + -18.33. What is the biggest value in -5, s, -4?
s
Let t = 16446 - 16462. Let g = -192.6 + 177. Let v = t - g. Which is the third biggest value? (a) -4 (b) v (c) 2/3 (d) 2
b
Let l = 0.059 - 56.059. Let m = l + 50.6. Let p = -4.7 - m. Which is the third biggest value? (a) -3 (b) p (c) -0.04
a
Let i be (6/10)/((-2)/(-10)). Let t = -2 - i. Suppose 2*w = s - 9, s - 6*w + 0*w - 21 = 0. Which is the second biggest value? (a) t (b) -4 (c) s (d) 5/4
d
Let f = 746.3 + -746. Suppose -4 = -q - 3. Let y(o) = 4*o**3 + o**2 - 1. Let h be y(q). Which is the third biggest value? (a) 1 (b) -7 (c) f (d) h
c
Let t = 2729/144 - -3215/16. Let p = t + -220. Which is the third smallest value? (a) -1 (b) p (c) 6
c
Let i be 121/(-22)*(-3)/66. What is the third smallest value in 0.5, i, 5, 12, 3/5?
3/5
Let p = 2.0887 - 37.0887. Let y = 0.3 + -1.3. What is the second smallest value in -1/4, y, p, 0?
y
Let c = -28 - -83/3. Let o be (-18)/153*(-6 - 20/(-4)). What is the fourth smallest value in 1, 33, c, o?
33
Suppose -y + 7 = -s, -y = -0*y - 2*s - 10. Suppose -35 + 79 = 44*r + 264. Which is the second smallest value? (a) -0.06 (b) y (c) r
a
Let w = -14643 + 131783/9. What is the fourth smallest value in -5/2, w, -15, 5?
5
Let g = 225 - 44. Let i = -180.95 + g. Which is the smallest value? (a) 2 (b) 0.1 (c) i (d) -3
d
Let y = 5847 - 5843. What is the smallest value in y, 2/39, -0.1, 7?
-0.1
Let p = 0 - -12. Let u = p - 25/2. Let l be (-1 - (-3)/4)/(6/8). Which is the smallest value? (a) u (b) l (c) 0.3
a
Suppose 5*j - 2*f - 2*f = -19, -5*j - 14 = f. Suppose s - 3 = 2*m, 4*m = 25*s - 30*s + 29. What is the third biggest value in -7/2, j, 1/6, s?
j
Let a = -1681.5 + 985. Let k = 696 + a. Let j be 5/(-50) - (-2)/4. What is the third biggest value in k, j, -3/2?
-3/2
Let x = 3445/357 - -2/119. Let u = 189594 - 189594.2. Which is the third smallest value? (a) 2/7 (b) 0.4 (c) x (d) u
b
Let f(w) = -9*w - 70. Let n be f(-9). Suppose 0 = -3*p - v + n, 10 = 4*p - v - 0. Which is the third biggest value? (a) p (b) -2/3 (c) -10/7
c
Let y = 44575/9 - 4953. Which is the fourth biggest value? (a) 2/5 (b) -1 (c) -0.08 (d) -0.5 (e) y
d
Let s = -131 + 144. Let t = -13.2 + s. Which is the fourth biggest value? (a) t (b) -0.3 (c) -4 (d) 4/9
c
Let y be (1 + -6)/(-1 - (-4 + 4)). Let w be (-600)/y - (3/(-3) - 1). Let k = -116 - w. Which is the smallest value? (a) k (b) 1/4 (c) 9
b
Let u = 740.3 + -739.8. Which is the third biggest value? (a) u (b) -4 (c) -14 (d) 1.6
b
Let d = -66/119 - -317/357. Which is the third smallest value? (a) 7 (b) -1/14 (c) d
a
Let s(m) = -14*m**2 - 4*m - 17. Let p(u) = 12*u**2 + 5*u + 16. Let q(y) = -6*p(y) - 5*s(y). Let w be q(-3). What is the second biggest value in 35, 3/7, 2/9, w?
w
Suppose 3*x + 1 = -4*z, 3*x + 234*z - 233*z + 7 = 0. Let j = -0.06 + 0.1. Let b = 2 - 1. What is the smallest value in b, j, -0.5, x?
x
Suppose 4*i + 2*w = w - 21, i + 2*w = -7. Which is the fifth smallest value? (a) i (b) -1/2 (c) 1/17 (d) 0.5 (e) -3
d
Let q = 386.32 + -386.72. What is the fourth smallest value in q, 6, -5, 2/171, 2?
2
Let j = 1.2 - -1.8. Let y be -4 - ((-8)/5)/((-2)/5). Let t = -0.0246 + 0.1246. Which is the smallest value? (a) t (b) j (c) 0.2 (d) y
d
Suppose 40 = -4*f - 3*x, -x = 10*f - 12*f. Let w be (1/14)/(2/16). Which is the third biggest value? (a) -3 (b) f (c) w
b
Suppose 33*a = -16 - 512. What is the smallest value in -0.02, -1, 3, a?
a
Let k = 813 - 811. What is the biggest value in -1, k, 3.5, 2/3?
3.5
Suppose 3*j = -2*j + 5*y - 220, 3*y - 46 = j. Let o = -173/4 - j. Let i = -5 + 5. What is the fourth biggest value in i, -3/4, -2, o?
-2
Let t = 120 + -136. Which is the fourth smallest value? (a) 4 (b) 3/2 (c) 0 (d) -6 (e) t
b
Let z = -115/76 + 1/76. Which is the third smallest value? (a) z (b) 1/8 (c) 6/71 (d) -2 (e) 0.4
c
Let w(a) be the third derivative of a**4/24 - 7*a**3/6 - 2*a**2. Let i be w(6). Let d = 1/1389 - 4195/38892. What is the second smallest value in 1/4, d, i?
d
Let j = 1.7073 - 33.7073. What is the smallest value in 0.4, -0.28, 4, j, 5?
j
Let u be ((-58)/8)/((-99)/12). Let i = -6/11 + u. Let m = -210 + 209. What is the second smallest value in 2/9, m, i?
2/9
Let c be ((27/2)/(-3))/(-3). Let i be 1 - (-23 + 2912/128)/((-3)/15). What is the | {
"pile_set_name": "DM Mathematics"
} |
2 wrt k?
-28
Let q(w) be the first derivative of 8*w**5/5 - 13*w + 5. Differentiate q(b) with respect to b.
32*b**3
Find the third derivative of -306*u**3 - 2*u**2 + 14*u**2 + 320*u**3 wrt u.
84
Let c(r) be the second derivative of 3*r + 0*r**2 + 0 - 1/3*r**3 - 1/6*r**4. What is the second derivative of c(v) wrt v?
-4
Find the second derivative of 5*m**3 + 20*m**4 + 18*m - 24*m**4 + 30*m wrt m.
-48*m**2 + 30*m
What is the derivative of 16*y**4 - 22 - 9*y**4 - 24 wrt y?
28*y**3
Let o(k) = 4*k**3 - 6*k - 2. Let a(m) = 3*m**3 - 5*m - 3. Let f = 5 + 0. Let v(r) = f*o(r) - 6*a(r). Differentiate v(n) wrt n.
6*n**2
Let l(m) be the first derivative of -11*m**5/5 - 2*m**3 - 3. Find the third derivative of l(n) wrt n.
-264*n
Let n(x) = x**4 + 5*x**2. Let m(b) = b**4 + 8*b**2. Let v(h) = 5*m(h) - 7*n(h). What is the third derivative of v(u) wrt u?
-48*u
Let r(v) be the first derivative of -2*v**3/3 - 11*v**2/2 - 5. What is the second derivative of r(s) wrt s?
-4
Let b(x) be the second derivative of x**3/3 + 3*x**2 + 15*x. What is the derivative of b(s) wrt s?
2
Let t(f) = -12*f - 18. Let k = 12 - 6. Let r be (-16)/24*k/4. Let l(b) = -b - 1. Let i(z) = r*t(z) + 15*l(z). Find the first derivative of i(a) wrt a.
-3
Let d = 26 - 14. Suppose f + d = 5*f. Differentiate 3*o**3 + o**f - 2*o**3 + 2 wrt o.
6*o**2
What is the second derivative of -9*f**3 + 12*f - 15*f**3 + 6*f wrt f?
-144*f
Let x(b) be the first derivative of 3*b**4/2 - 3*b**2 + 1. Find the second derivative of x(q) wrt q.
36*q
Let k(s) = -7*s**2 - s + 4. Let d(z) = -7*z**2 - z + 3. Let m(q) = -4*d(q) + 3*k(q). What is the second derivative of m(v) wrt v?
14
Suppose g = x - 4*g - 12, -4*g - 10 = -x. Let c = 14 - 10. What is the derivative of -3*w**c + 3*w**4 - w**4 + x wrt w?
-4*w**3
Find the second derivative of -8*i - 13*i**5 + 19*i + 3*i**5 wrt i.
-200*i**3
What is the second derivative of -4*t**5 - 4*t - 8*t + 3*t**5 - 10*t wrt t?
-20*t**3
Let z = -6 - -9. What is the second derivative of 0 + 11*u - 10*u + 0 - z*u**4 wrt u?
-36*u**2
Let l(q) be the second derivative of q**5/120 + q**4/24 - q**3/6 - q. Let c(j) be the second derivative of l(j). Differentiate c(o) with respect to o.
1
What is the third derivative of -m**6 - 5*m**2 + 4*m**2 - m**6 - m**6 wrt m?
-360*m**3
Let t(x) be the second derivative of -2*x**6/15 + 7*x**2/2 - 7*x. Differentiate t(b) with respect to b.
-16*b**3
Suppose 0 = -0*k - 2*k + 8. Let j = k - 3. Differentiate 1 + j - m**4 - m**4 with respect to m.
-8*m**3
Let a(n) be the third derivative of 3*n**8/112 + 3*n**5/20 - 6*n**2. What is the third derivative of a(b) wrt b?
540*b**2
Let j(s) be the first derivative of 5*s**4/4 + 7*s**3/3 - 5. What is the third derivative of j(r) wrt r?
30
Let t be (-4)/(-4) + 1/1. Find the third derivative of y**4 + 2*y**4 - 2*y**2 + 2*y**2 - 4*y**t wrt y.
72*y
Let j(a) = -a + 1. Let s(b) = 36*b**2 - 13*b + 5. Let x(d) = 5*j(d) - s(d). Find the second derivative of x(m) wrt m.
-72
Let h(d) be the third derivative of -7*d**6/24 - 3*d**4/8 + 34*d**2. What is the second derivative of h(f) wrt f?
-210*f
What is the third derivative of 1 + 0 - 1 + 6*l**2 - 14*l**5 wrt l?
-840*l**2
Let v(t) be the third derivative of t**8/28 + t**5/20 - 2*t**2. Find the third derivative of v(l) wrt l.
720*l**2
Suppose -3*n + 16 = 1. Find the third derivative of -26*c**2 + 25*c**2 - c**n - 2*c**5 wrt c.
-180*c**2
Let h(b) = -b**3 + b**2 + 1. Let n(t) = -4*t**3 + 27*t**2 + 38*t + 5. Let r(i) = 5*h(i) - n(i). Find the second derivative of r(k) wrt k.
-6*k - 44
Let u(n) be the first derivative of -n**6/6 - 13*n**4/4 - 2*n**3/3 - 9*n - 67. Find the third derivative of u(d) wrt d.
-60*d**2 - 78
Differentiate -13*z + 1 + 4 - 4 - 2 with respect to z.
-13
Let i(y) be the second derivative of -y**7/168 - y**6/36 + 11*y**3/6 - 6*y. Let k(x) be the second derivative of i(x). Find the third derivative of k(s) wrt s.
-30
Let a(x) be the second derivative of x**3 - 5*x**2 - 4*x. Find the first derivative of a(o) wrt o.
6
Let i(h) = -h**4 - h**3 + h**2 + 1. Let t(l) = -14*l**4 - 5*l**3 + 5*l**2 - l + 5. Let m(j) = -5*i(j) + t(j). Find the second derivative of m(a) wrt a.
-108*a**2
Let t(f) be the first derivative of -f**7/21 + f**4/6 + f - 3. Let u(l) be the first derivative of t(l). What is the third derivative of u(y) wrt y?
-120*y**2
Suppose -13 = -2*b - 4*v - v, -5*v - 15 = -5*b. Suppose 3*x = -b*z + 2, 4 = x + 2*z - 4*z. Find the first derivative of -3*y + x*y + 0 + 2 wrt y.
-1
Let b be (-2 - -6)*1*2. Differentiate -2 - 3*f**4 + b*f**4 + 6 with respect to f.
20*f**3
Let r be 12 + -6 + (0 - 0). Let b be (3/(-3))/((-2)/r). What is the second derivative of 3*j**b + j**3 + 0*j - 4*j wrt j?
24*j
Let o(q) be the third derivative of 0*q**3 + 0*q + 1/4*q**4 - 2*q**2 + 0 + 0*q**5 + 1/20*q**6. What is the second derivative of o(k) wrt k?
36*k
Let w(o) be the third derivative of o**7/280 + o**6/40 - o**3/3 + 8*o**2. Let k(h) be the first derivative of w(h). What is the third derivative of k(l) wrt l?
18
Let s(q) be the second derivative of 37*q**4/12 - 37*q**2/2 - 11*q - 2. Differentiate s(z) with respect to z.
74*z
Let y(i) be the first derivative of 8/3*i**3 + 0*i**2 - 6 - 2*i. What is the first derivative of y(f) wrt f?
16*f
Let z(c) be the third derivative of -7*c**5/60 + 13*c**4/24 - 16*c**2. Find the second derivative of z(b) wrt b.
-14
Find the third derivative of 28*q**3 - 19*q**2 - 25*q**3 + 18*q**3 wrt q.
126
Let p(x) = x**2 - x + 1. Let u(o) = 2*o**2 - 3*o - 2. Let c(r) = 6*p(r) - 2*u(r). Find the first derivative of c(j) wrt j.
4*j
Let u be (-12)/(-8)*(-8)/(-3). What is the second derivative of -19*s**2 + 32*s**2 - 13*s**2 + 7*s - 6*s**u wrt s?
-72*s**2
Let i(c) be the first derivative of -c**6/10 - c**2 + 3*c - 4. Let f(j) be the first derivative of i(j). What is the first derivative of f(w) wrt w?
-12*w**3
Let y(v) = -14*v + 21. Let n(s) = -5*s + 7. Let q(k) = -17*n(k) + 6*y(k). Let j be q(-5). Find the third derivative of z**2 + z**2 + j*z**6 - z**2 wrt z.
240*z**3
Let n(s) be the second derivative of -s**6/30 - 9*s**2/2 - 8*s. Differentiate n(j) with respect to j.
-4*j**3
Let t(c) = 5*c**2 + 3*c - 3. Let j(q) be the first derivative of -2*q**3 - 2*q**2 + 3*q - 7. Let r(h) = 3*j(h) + 4*t(h). Differentiate r(m) with respect to m.
4*m
Let b(w) be the third derivative of w**7/210 + w**6/8 - w**4/8 - 11*w**3/3 + 26*w**2. Find the second derivative of b(m) wrt m.
12*m**2 + 90*m
Let w(a) be the third derivative of -a**6/60 + a**3/3 - 8*a**2. What is the derivative of w(v) wrt v?
-6*v**2
Let o(r) be the first derivative of r**7/420 - 3*r**4/8 - 3*r**3 - 5. Let y(p) be the third derivative of o(p). Find the first derivative of y(v) wrt v.
6*v**2
Let s(l) = -115*l**2 + 354. Let w(x) = -23*x**2 + 71. Let h(d) = -2*s(d) + 11*w(d). What is the first derivative of h(p) wrt p?
-46*p
Suppose 0 = 2*r - 4*b + 6, -4*r + b - 29 = -9*r. Suppose 1 = -r*t + 11. What is the second derivative of -t*w**3 + 2*w - 3 + 3 wrt w?
-12*w
Suppose -v + 0*h - 2*h = 6, 2*v - h - 13 = 0. Suppose -3 = -v*u + 1. Find the second derivative of 3 - 2 - u + o - o**2 wrt o.
-2
Let z(v) = -9*v**4 + 15*v**2 + 4*v + 4. Let u(l) = 10*l**4 - 15*l**2 - 3*l - 3. Let j(b) = 4*u(b) + 3*z(b). Find the third derivative of j(w) wrt w.
312*w
Suppose -a + 5*o - 2 = 0, 3*a - 2*o - 5 = 2*o. Let i = 5 - a. What is the third derivative of 7*w**i + 2*w**3 - 10*w**2 + w**3 wrt w?
18
Let c be 1*(0 + -1)*-3. Suppose 2*z - 3*z = -c. What is the derivative of w + 1 - 2*w - 3*w**z + w wrt w?
-9*w**2
Let q(a) be the first derivative of -15*a**4/4 - 3*a + 8. Differentiate q(j) wrt j.
-45*j**2
Let v(n) = -n + 1. Let r(j) = 8*j**3 + 10*j**2 - 10*j + 10. Let p(w) = -r(w) + 10*v(w). Find the third derivative of p(c) wrt c.
-48
Let h(t) be the second derivative of 7/20*t**5 + 0*t**4 + 0*t**2 + 0 + 10*t - 1/6*t**3. Find the second derivative of h(r) wrt r.
42*r
Find the third derivative of 24*l**2 + 18*l**2 - 28*l**2 - 49*l**3 wrt l.
-294
Let a(q) = q**2 + 2*q - 3. Let m be a(-4). Let i be 2/(-4) + (-10)/(-4). What is the third derivative of -u**2 + m*u**4 + i*u**2 - 4*u**4 wrt u?
24*u
Let a(w) = 3*w**4 - 9*w**3 - 9*w**2 + 5. Let i(f) = 2*f**4 - 4*f**3 - 4*f**2 + 3. Let q(x) = -4*a(x) + 9*i(x). Differentiate q(z) with respect to z.
24*z**3
Sup | {
"pile_set_name": "DM Mathematics"
} |
14*l + (0*l + 0*l + l)*(-1 - 1 + 4).
-32*l
Expand (-1415 + 1686 + 178 + 1132)*(-4*k + k + 4*k) + (-k - k + 0*k)*(-1 - 1 + 1).
1583*k
Expand (-5 + 5 + 6)*(-171*f**2 + 7*f**4 + 5*f**4 - 13*f**4).
-6*f**4 - 1026*f**2
Expand (-46*c - 4 + 18*c - 12*c)*(0 - 2*c + 0).
80*c**2 + 8*c
Expand (-16*l + 24*l + 3 - 7*l)*(4*l**3 - 4*l**3 + 6*l**3) + l**4 + 2*l - 2*l.
7*l**4 + 18*l**3
Expand (2*s - 2*s + s)*(15 - 9 + 19) + (0*s - 4*s + s)*(2 + 0 - 4).
31*s
Expand (2*y + 1 - 1)*(-6 + 2 + 2) + 7363 - 786*y - 7363.
-790*y
Expand (51*o - 841 + 841)*(4 - 3 - 3 + (2 - 1 + 1)*(-1 + 3 - 1) - 4 + 0 + 6).
102*o
Expand -n**5 + 0*n**5 - n**5 + (-3*n + 3*n - n**4)*(372 - 135*n - 372).
133*n**5
Expand (77*o**3 + 41*o**3 - 36*o**3)*(2*o**2 - 2*o**2 - o**2)*(4 + 2 - 7) + (-3*o + 4*o + o)*(-3*o**4 + o**4 + 3*o**4).
84*o**5
Expand (d + 2 - 2)*(-7 + 5 + 17)*(d - d**3 - 4*d**3 + 7*d**3).
30*d**4 + 15*d**2
Expand (232*h - 116*h + 86*h)*(2 - 5*h + 5*h - h**2).
-202*h**3 + 404*h
Expand (2*q - 2*q - 2*q)*(-60 - 260 - 118).
876*q
Expand (0*c - 2*c + 0*c)*(-1 + 3 + 15)*(-2*c + 8 - 8).
68*c**2
Expand -y**3 + 0*y**3 - y**3 + (6*y - 10*y + 6*y)*(2*y - 2*y + 5*y**2) - y**3 + y**3 - 2*y**3.
6*y**3
Expand (12*k + 33 - 33)*(12*k + 5*k + k).
216*k**2
Expand (-d**3 + 5*d**3 - 2*d**3)*(4*d - d - 18*d) - d**4 + 3*d**4 + 7*d**4 + (2*d**3 + 2*d**2 - 2*d**2)*(5*d + d - 5*d).
-19*d**4
Expand (14 + 3 + 7)*(-2*m**2 + 2*m**2 - 3*m**2).
-72*m**2
Expand (-12 - 4 + 3*j + 19)*(-3*j + 7*j - 3*j).
3*j**2 + 3*j
Expand (l**3 + l**4 - l**3 + (2 + 1 - 5)*(7*l**4 - 2*l**4 - 3*l**4))*((3 - 2 - 3)*(-2 + 2 + 1) - 3 - 3 + 4 + 1 + 1 - 7).
27*l**4
Expand (0 - 2*z + 0)*(62*z - 72*z + 50*z) + (z**2 + z**2 - 4*z**2)*(-1 + 1 + 3).
-86*z**2
Expand (-378 + 195 - 2*b + 188)*(3*b + 1 - 1).
-6*b**2 + 15*b
Expand (4*h - 4*h + 141*h**3 - 57*h**3)*(3*h - 2 + 2).
252*h**4
Expand (16*d**3 + 92*d**3 - 29*d**3)*(-2*d**2 + 4*d**2 + 0*d**2) + (-3*d + 2*d**2 + 3*d)*(d - d + 3*d**3).
164*d**5
Expand (-s**2 + 0 - 7387*s - 2 + 7572*s)*(s - s + s**3).
-s**5 + 185*s**4 - 2*s**3
Expand (-117 + 246 - 122 - 3*j)*(0 + 5 - 2).
-9*j + 21
Expand -243*z**2 - 229*z**2 + 456*z**2 + (-3*z**2 + 2*z**2 - z**2)*(-3 + 3 + 2) - 3*z**2 + 0*z**2 + 4*z**2.
-19*z**2
Expand (-2 - 2 + 6)*(-14 + 5 - 6)*(-h - 4*h - h).
180*h
Expand -2*u**5 + 3*u**4 - 3*u**4 + (2 - 2 + u)*(-4 + 5 - 36)*(0*u - 3*u**4 + 0*u).
103*u**5
Expand -1015*a**2 + 1015*a**2 - 22*a**4 + 0*a**4 + 0*a**4 - a**4 + (0*a**3 - a**3 - a**3)*(0*a - 5*a + 3*a) + (-5*a**3 + 4*a**3 - 2*a**3)*(a - a - a).
-16*a**4
Expand (-1 + 6 - 3)*(w + w**2 - w) + 226*w**2 - 1130*w**2 - 325*w**2 + 51*w**2 - 557*w**2.
-1733*w**2
Expand -1 + 1 - x + 3*x + 3*x - 4*x + (-2*x - 4*x + 4*x)*(2 - 2 - 2) - 2*x + 2*x + 2*x + 21416 - 21416 - 570*x.
-563*x
Expand (6*t - t - 4*t)*(2 - 2 + t**3) + (-t + t + t**2)*(1810*t - 1810*t + 43*t**2).
44*t**4
Expand (-2*x**2 + 0*x + 0*x + (-x + 0*x + 0*x)*(0*x - 7*x + 6 + 9*x))*(2*x**3 - x**3 + x**3).
-8*x**5 - 12*x**4
Expand (-3 + 5 - 3)*(-5 - 1 + 4 + (-1 + 3 - 1)*(0 + 3 - 2) + 2 + 4 - 4 - 3 + 4 - 3 - 54 - 66 + 55)*(-4 + j + 4).
66*j
Expand (16*o - 101*o - 16*o)*(o**2 - 4*o - 1 + 4*o).
-101*o**3 + 101*o
Expand (5 + 2*o**2 - 5 + (0 - 1 + 2)*(0 - o**2 + 0) + 2*o**2 + 4*o - 4*o + 0*o**2 - o**2 - 3*o**2)*(-46*o + 46*o + 49*o**2).
-49*o**4
Expand (-2*u + 0*u + 3*u)*(4*u**4 + 0*u**4 - 2*u**4) + 0*u**5 - 4*u**5 + 3*u**5 + 34*u**5 + 44*u**5 + 34*u**5 - 9*u**5.
104*u**5
Expand (-4*a + 7*a - 2 - a)*(3 - 2 + 7)*(2 + 0 - 3).
-16*a + 16
Expand (18*t - 3*t**4 + 10246*t**3 - 10246*t**3)*(-3 + 1 + 8).
-18*t**4 + 108*t
Expand (30*l + 2 - 12*l - 14*l)*(0*l + 2*l + 0*l).
8*l**2 + 4*l
Expand -1 + 3*t + 1 - 1 + 1 + 2*t + (-3 + 2 + 3)*(-t + t + 2*t) + 433*t + 119269 - 119269.
442*t
Expand (1 - 190*k**2 + 1561*k**2 - 1)*(-4*k + 5*k - 2*k).
-1371*k**3
Expand (-4 + 3 + 3)*(979 - 337 + 2*f - 117).
4*f + 1050
Expand p**5 + 3*p**5 - 6*p**5 + (20 + 4 + 10)*(-p**5 + 3*p**5 - 3*p**5).
-36*p**5
Expand (2 + 3 - 4 + (6 - 2 - 2)*(6 - 2 - 3))*(-16*m**3 + 40*m**3 + 10*m**3)*(1 + 2 - 9).
-612*m**3
Expand (-s**2 + s**2 + s**2)*(-147*s**2 + 272*s**2 - 994*s**2)*(4*s - 3*s + 0*s).
-869*s**5
Expand (-z + 3*z**2 + z)*(-3 - 4 + 6) - 5*z**2 - 2*z**2 + 2*z**2 + (2*z + 0 + 0)*(-4*z + 2*z + z) - 2 - 7*z**2 + 2.
-17*z**2
Expand (2*v**3 + 0*v**3 + 10*v**3)*(-97 + 42 + 9).
-552*v**3
Expand (1 + 1 + 0)*(2693*v**5 + 7*v**4 + 4*v**4 - 2692*v**5 + 11).
2*v**5 + 22*v**4 + 22
Expand 198*i - 198*i - 7*i**5 + (0*i**3 + 2*i**4 + 0*i**3)*(-2*i + 4*i + 0*i) + 3 + i**5 - 3.
-2*i**5
Expand 0*t + 4*t - 3*t + 2*t + 1 - 1 + (-5*t + 2*t + t)*(-6 + 3 + 2) + 6 + 63*t + 63*t - 129*t.
2*t + 6
Expand (1 - 1 + 2)*(3*l**2 - 3*l**2 + l**2 + (-7 + 13 + 1)*(2*l**2 - 5*l**2 - 3*l**2)).
-82*l**2
Expand (-2 + 4 - 4)*(-u + 2*u + u + 2*u + 2*u - u + 2*u + u + 0*u + 0*u + 0*u - u + (-5 + 3 + 0)*(u + 0 + 0) + 3*u + 2*u - 4*u + 5*u + 11 - 11).
-22*u
Expand (20 + 167 + 218)*(-2*o**4 - o**4 + 4*o**4).
405*o**4
Expand (5*z - 4*z + 4*z)*(-33*z**2 - 20*z + 20*z) + 3*z**3 + 0*z**3 - z**3.
-163*z**3
Expand (-74*v**2 + 3*v**4 + v**3 + 75*v**2 + v**3 - v)*(v + 2 - 2)*(1 - 6 + 4).
-3*v**5 - 2*v**4 - v**3 + v**2
Expand (38*j + 33*j - 87*j)*(2*j**3 - 5*j**3 + 2*j**3)*(-j - 3*j + 2*j).
-32*j**5
Expand ((-3*h - h + 2*h)*(46*h**2 - 69*h**2 - 69*h**2) - h - h**3 + h)*(6*h + 0*h - 4*h).
366*h**4
Expand (y**2 + 0*y**2 + 0*y**2)*(5886*y**2 - 22*y**3 - 5886*y**2 - 2).
-22*y**5 - 2*y**2
Expand 4*q**3 + 15*q - 2*q**3 - q**2 + 0*q**2 + (-4 - 4*q + 4)*(-q**2 + 0 + 0).
6*q**3 - q**2 + 15*q
Expand (-d + 4*d - 47*d)*(-7*d**3 + d**3 + 0*d**3).
264*d**4
Expand (-4 - 6 - 4)*(22*b - 11*b - 4*b)*(-5*b**2 + 4*b**2 - b**2).
196*b**3
Expand 4*s**2 + s**2 - 7*s**2 + (-3 + 3 + 1)*(23*s**2 + 22*s**2 - 18*s**2).
25*s**2
Expand (5*k**2 - 4*k**2 + k**2)*(-2 + 4 - 3)*(258*k - 258*k + 4*k**2).
-8*k**4
Expand (1 - 2 + 2)*(3 - 3 - 4*w) + 3*w - 7*w + 3*w + 5*w - 3*w - w + (-2*w + 6*w - 3*w)*(-4 + 2 + 3) + 4*w + 3*w - 5*w + 0*w + 0*w - 3*w.
-4*w
Expand (6293 - 2833 - 3012)*(3*k + k - 5*k)*(-3 + 0 + 1).
896*k
Expand (-3*r - 9*r - 4*r)*((0 - 2 + 3)*(-1 + 3 - 1) - 2 - 1 + 1 + (16 - 10 - 10)*(0 - 2 + 3)).
80*r
Expand (6 + 2*x - 6)*(3 - 2 + 0)*(3 + 0 - 1)*(-9 - 6 + 22).
28*x
Expand (-2*v + 0*v - 3*v)*(24*v**2 - 10*v**2 + 5*v**2)*(-3*v - 2*v + 3*v).
190*v**4
Expand (0 + 6 - 5)*(3*l + 0*l - l)*(-3*l + 2*l - 3*l).
-8*l**2
Expand (-d**3 + d**2 - d**2)*(0*d - 2*d - 5*d)*(2*d + 2*d - d) - 9*d**5 - 5*d**5 + 5*d**5.
12*d**5
Expand (-44 - 16 + 27)*(-5*d**3 + 2*d**3 + d**3).
66*d**3
Expand 503*x - 35528 + 35528 + x**4 + (x - x - x)*(-3*x**3 + 0*x**3 + 2*x**3).
2*x**4 + 503*x
Expand (-3*q**2 + q**2 + q**2 + (2 - 2*q - 2)*(0 + 2*q + 0) - 20*q + 20*q + 2*q**2 + (-2 + 2 + q**2)*(1 + 4 - 3) + 2*q**2 + 26*q**2 + 0*q**2)*(-q + 2*q + q).
54*q**3
Expand (-1 + 2*k**2 + 1)*(k**2 - 2*k**2 - k**2) + (2 - 3 - 1)*(1 + k**4 - 1) + 165*k**4 - 1067*k + 1067*k.
159*k**4
Expand (-m**2 + 2 - 2)*(2*m**2 + 0*m**2 + 0*m**2) + 0*m**4 - 3*m**4 + m**4 + 27*m**4 - 554*m**3 + 554*m**3.
23*m**4
Expand (-2 + 2 + g**4)*(-4 + 1 + 2) + 2*g**4 + 2*g**4 + 0*g**4 - g**4 + 0*g**4 - g**4 + 1 + 0*g**4 - 2*g**4 + 1.
-g**4 + 2
Expand (-2*s**2 + 0*s**2 + 4*s**2)*(2*s + s - 4*s) - s**3 - s**3 + 0*s**3 + 28 + 72*s**3 + 23*s**3 - 27.
91*s**3 + 1
Expand (35*u + 53*u**4 - 35*u)*(-4 - 5 + 0).
-477*u**4
Expand (-477*y + 8*y**2 + 477*y)*(-2 + 4*y**2 + 2).
32*y**4
Expand (2*g**2 - 48 - 5*g**2 + 39)*(-g + 1 - 1).
3*g**3 + 9*g
Expand 14*b**2 - b**3 - 27*b**2 + 2 + 21*b**2 + (b**2 - b**2 - 5*b**2)*(b + b + 0*b).
-11*b**3 + 8*b**2 + 2
Expand -1 + 7*p - 2*p + 0*p + (2 - 5 + 4)*(-3*p + 0*p + p).
3*p - 1
Expand (3*n - n - n)*(98*n**2 + 194*n**2 + 2009 - 2009).
292*n**3
Expand -2*z**3 + 2 - 2 + z**3 - 2 + 0*z + 0*z + (-5*z**2 - 4*z**2 - z**2)*(-3*z - 1 + 1).
29*z**3 - 2
Expand (-2*v - 4*v + 19*v)*(1 - 2*v - 1)*(10 - 10 + v)*(-3 - 3 + 0).
156*v**3
Expand (4*h - 2*h - h)*(-3*h**3 + 4*h**3 - 2*h**3) - 4*h**4 - 9*h**4 + 3*h**4.
-11*h**4
Expand (15*w - w - 4*w)*(w**4 + 0*w + 0*w) - w**5 + 75 - 6*w**3 - 157 + 80.
9*w**5 - 6*w**3 - 2
Expand (-14*l**2 - 4*l**2 + 4*l**2)*(-2 + 1 + 3)*(l + 3*l - 3*l + 4*l + 0*l - 6*l + (2*l - 1 + 1)*(3 + 0 - 1) + 4*l - 3*l + l).
-140*l**3
Expand (-105*w**2 - 188*w**2 + 46*w**2)*(w**2 - 3*w**2 + w**2).
247*w**4
Expand ((o + 4*o - 3*o)*(2*o - o + o) + (4*o - 11*o + 3*o)* | {
"pile_set_name": "DM Mathematics"
} |
d the third derivative of -2*g**5 - 30743*g**4 + 23*g**3 - 139*g**2 + 94*g - 30.
-120*g**2 - 737832*g + 138
Differentiate -24619903*g + 5056747 wrt g.
-24619903
What is the second derivative of -96279*u**5 + 885*u**4 - u + 156786147 wrt u?
-1925580*u**3 + 10620*u**2
What is the third derivative of -379961995*q**3 - 3163354*q**2 + 2*q - 6?
-2279771970
What is the second derivative of o*r**3 + 6978*o*r**2 - 2*o*r + 72*o + 34*r**3 - 6*r - 4331 wrt r?
6*o*r + 13956*o + 204*r
What is the second derivative of -3*q*s**2*x - 27*q*s*w**2*x + 3*q*s - 862*q*w**2*x + 101506*s**2*w**2*x + 18*s*w**2*x wrt s?
-6*q*x + 203012*w**2*x
What is the third derivative of 3637465*t**3 - 19001834*t**2?
21824790
Find the second derivative of 23649913*x**2*y - 3*x*y - x - 14300*y wrt x.
47299826*y
What is the derivative of -31*p**2*z + 40632*p*z + 61*z + 1574 wrt p?
-62*p*z + 40632*z
What is the second derivative of 10521752*x**5 + 447*x + 3867 wrt x?
210435040*x**3
Find the third derivative of 764365*n**3*u**3 - 2*n**3*u**2 - 2*n**2*u - 211*n*u + 4*u**3 + 3*u**2 + 27*u - 9 wrt u.
4586190*n**3 + 24
Find the second derivative of 29364984*w**5 + 5601*w - 221.
587299680*w**3
Differentiate 2*o**3 + 1807655*o + 2263497 wrt o.
6*o**2 + 1807655
What is the derivative of -49310281*r - 49832587?
-49310281
What is the third derivative of -17848481*u**5 + 33637443*u**2?
-1070908860*u**2
Differentiate -36*m**4 - 3128*m**2 - 9735361.
-144*m**3 - 6256*m
What is the third derivative of 27747*f**5*g - 1640*f**3*g**3 - 1136*f**2*g**3 - 2243*g**3 wrt f?
1664820*f**2*g - 9840*g**3
What is the second derivative of 5258251*p**2 - 14*p + 249123 wrt p?
10516502
Find the first derivative of -916396*x**2 - 4*x + 12688531.
-1832792*x - 4
Find the third derivative of -481832661*b**4 + 521670080*b**2 wrt b.
-11563983864*b
What is the third derivative of 555*f*o**4 + 3639*f*o**3 - 16*f*o**2 + 65625*f - o**2 wrt o?
13320*f*o + 21834*f
Find the first derivative of -59274*v**2 + 56*v + 143922358 wrt v.
-118548*v + 56
Differentiate -15056*o**2 - 167*o - 9406985 wrt o.
-30112*o - 167
Find the second derivative of 118338*t**4 + 221*t**3 - 78333253*t.
1420056*t**2 + 1326*t
What is the third derivative of 1444771*g**5 - 4*g**4 - g**3 + 330628744*g**2 wrt g?
86686260*g**2 - 96*g - 6
Find the second derivative of -266784990*n**3 - 92520911*n.
-1600709940*n
What is the second derivative of -93908522*f**3 - 162103803*f?
-563451132*f
What is the first derivative of -8*c**2 - 806206*c - 1135555292 wrt c?
-16*c - 806206
Find the second derivative of -572029*a**2*l**2 + 11*a**2 - 18212*a*l**2 - 5*a*l - 2*a - 2*l**2 + 2 wrt a.
-1144058*l**2 + 22
Find the first derivative of 6778998*c**2*d**2*o + 2*c**2*d**2 + 10*c**2*o**2 + 841505*c**2 + 8*c*d**2 + 1 wrt o.
6778998*c**2*d**2 + 20*c**2*o
What is the first derivative of 454*b**4 + 342*b**2 + 3*b + 12654654 wrt b?
1816*b**3 + 684*b + 3
What is the second derivative of -233272324*l**4 + 2*l + 104151099?
-2799267888*l**2
Find the third derivative of -3943528*q**6 - 2*q**2 + 682428*q wrt q.
-473223360*q**3
Differentiate 3*p**2*w + 151917755*p**2 + 79121*p*w - 2*w with respect to w.
3*p**2 + 79121*p - 2
Find the third derivative of 234805*n**6 - 8*n**5 - n**2 + 76761*n - 224 wrt n.
28176600*n**3 - 480*n**2
What is the derivative of 7750*a**4*x**2 + 2199*a*x**2 - 11323369*x**2 + x + 7 wrt a?
31000*a**3*x**2 + 2199*x**2
Find the first derivative of 22*i*o**2 + 2335335*i*s + 10*o**2*s - o**2 - 355*o*s - 13*o + 4 wrt i.
22*o**2 + 2335335*s
Find the first derivative of -314*z**4 - 9375*z**2 - 3*z - 376476142.
-1256*z**3 - 18750*z - 3
What is the derivative of -n**4 + 2*n**3 - 287*n**2 + 6*n + 8553387?
-4*n**3 + 6*n**2 - 574*n + 6
What is the second derivative of -28962*a**4 - 660*a**2 + 2191*a - 2413 wrt a?
-347544*a**2 - 1320
What is the third derivative of m*u**4 + 2*m*u**3 - 8923518*m*u**2 - 14*m*u - 569*u**4 - 1307*u**3 wrt u?
24*m*u + 12*m - 13656*u - 7842
What is the derivative of 7932418*a**3*p - 4490114*a**3 wrt p?
7932418*a**3
Find the second derivative of -1219*g**2*p*u**2 - 35*g**2*p*u - g*p*u - g*u**2 + 67695*g*u - 1233*p*u**2 wrt u.
-2438*g**2*p - 2*g - 2466*p
What is the second derivative of 24646661*h**3 - 5012975*h wrt h?
147879966*h
Differentiate -1685*w**2 - 8652*w + 21358084 wrt w.
-3370*w - 8652
What is the derivative of -15582293*b + 9468784?
-15582293
What is the third derivative of 10*v**3*w**3 - 251*v**3*w + 3*v**3 - 2*v**2*w + 3*v**2 - 34973*v*w**3 + 142*v*w**2 + 25*w**3 - w wrt w?
60*v**3 - 209838*v + 150
Find the third derivative of -582195626*s**5 + 6*s**2 - 2824670*s + 2.
-34931737560*s**2
Find the first derivative of 63894626*u + 115866920 wrt u.
63894626
What is the third derivative of -229209706*g**3 + 277207737*g**2?
-1375258236
What is the second derivative of 5745153*k**4*x**3 - 37*k*x**3 + 2*k*x**2 + 2*x**3 + 6*x + 8268 wrt k?
68941836*k**2*x**3
Find the second derivative of 120606*c**4 + 2*c**3 - 2*c**2 - 12848*c + 43 wrt c.
1447272*c**2 + 12*c - 4
Differentiate j**2*s**2 - 192763*j**2*s - 2474264*j**2 + 2*j*s**2 with respect to s.
2*j**2*s - 192763*j**2 + 4*j*s
Find the second derivative of 432370*k**2*s**2 + 53*k**2*s*w**2 + k**2*s - 7*k*s*w**3 + 28*k*s*w + 6*k*w**2 - 122*s**2*w**3 - 32*w wrt s.
864740*k**2 - 244*w**3
What is the first derivative of -13918*q**2 - 225*q - 23400430 wrt q?
-27836*q - 225
Find the second derivative of 10347574*p**4 - 4*p**2*q**3 - p*q**3 - 2*p*q - 14*p - 69*q**3 + q - 397 wrt p.
124170888*p**2 - 8*q**3
What is the derivative of 6743217*d**2 - 324545793?
13486434*d
Find the third derivative of 269258317*k**5 + 13008401*k**2 - 3 wrt k.
16155499020*k**2
Differentiate 185948185*z + 432486920.
185948185
Find the second derivative of -11*r**3 + 68875*r**2 - 39376453*r.
-66*r + 137750
Find the third derivative of -74*m**6 - 692312*m**5 - 217993658*m**2.
-8880*m**3 - 41538720*m**2
Find the second derivative of 117*l*r**3*w - 207972*l*r**2*w**2 - 2*l*r**2*w + 6*l*r*w + 10*r**3*w**2 + 3*r**3*w + r**2 - 38*r*w wrt w.
-415944*l*r**2 + 20*r**3
Find the third derivative of -243935*m**6 + 82*m**3 - 104041793*m**2 wrt m.
-29272200*m**3 + 492
Differentiate -8*v**4 + 340007*v**3 - v + 8483655 wrt v.
-32*v**3 + 1020021*v**2 - 1
Find the second derivative of -897604381*g**3 + 1345328*g - 71.
-5385626286*g
Find the third derivative of 6152693*n**4 + 46*n**3 + 3*n**2 + 47210096*n + 2.
147664632*n + 276
Find the first derivative of -314995184*n**3 + 758890599 wrt n.
-944985552*n**2
Find the second derivative of 62527019*b**3 - 65*b + 262976.
375162114*b
What is the first derivative of -32353404*a - 52104032 wrt a?
-32353404
Differentiate 25253849*j**2 - 15325685 wrt j.
50507698*j
Differentiate 5729458*c*f**3 - 2*c*f + 11*c + 253300 wrt f.
17188374*c*f**2 - 2*c
What is the third derivative of 21654429*r*t**3 - 283475*r*t**2 + 36*r wrt t?
129926574*r
Find the first derivative of 8970*x**4*z + 102*x**2*z**2 - 3*x + 44336*z**2 wrt x.
35880*x**3*z + 204*x*z**2 - 3
Find the third derivative of -76648*t**3*u**2 + 245*t**3 + 2*t**2*u**2 - 12*t**2*u - 2*t**2 + 7*t*u**2 - t*u + 397*t wrt t.
-459888*u**2 + 1470
Find the third derivative of -2*a**3*r**3 + 169*a**3*r**2 + 13684*a**2*r**3 + 731*a*r**3 - 323752*a*r**2 wrt r.
-12*a**3 + 82104*a**2 + 4386*a
Find the third derivative of 216*f**6 + 1334*f**4 - 1109*f**2 + 9200*f - 2 wrt f.
25920*f**3 + 32016*f
Find the second derivative of 3*p*z**5 - 3626051*p*z**2 - 490996*p*z - 3*z wrt z.
60*p*z**3 - 7252102*p
Differentiate 269*t**2 - 4*t*v**3 + 817*t*v**2 - 75267164*v**3 wrt t.
538*t - 4*v**3 + 817*v**2
What is the derivative of 710699346*c**3*g - 86813615*c**3 wrt g?
710699346*c**3
What is the third derivative of -17764063*x**3 - 3493416*x**2 wrt x?
-106584378
What is the third derivative of 28309228*a**4 - 18800439*a**2 wrt a?
679421472*a
Find the first derivative of 9524*o**3*v + 4*o**3 - o**2*v - 837262*o + 169*v - 1 wrt v.
9524*o**3 - o**2 + 169
What is the third derivative of -1722972*w**3*y + 2*w**3 + 9*w**2*y + 374462*y wrt w?
-10337832*y + 12
Find the third derivative of 47697984*l**5 - 14*l**2 + 470755.
2861879040*l**2
Differentiate 860805592*a + 533778680.
860805592
What is the first derivative of 188891626*p - 409058317 wrt p?
188891626
Find the second derivative of 115307309*s**2 | {
"pile_set_name": "DM Mathematics"
} |
e smallest common multiple of v and 40?
40
Suppose -4*x - 20 = 0, 0 = 2*t + 5*x - 21 + 8. Let b = -2 - t. What is the smallest common multiple of 12 and (54/b)/(2/(-14))?
36
Let h = -15 + 142/9. Let b = 3/1706 + -50339/6824. Find the common denominator of h and b.
72
Suppose 2*j + 15954 = 2028. Let q = j - -69547/10. What is the common denominator of q and 99/4?
20
Suppose 5*w - 2*w = 4*v - 18, 2*w = -2*v + 2. Find the common denominator of (15/(-25))/((-9)/(-6)) and ((-63)/10 - w) + -2.
10
Suppose y - 18 = 5*o, 2*o + 3 = y - 9. Let h = 0 - -1. What is the least common multiple of y and h?
8
Suppose 0 = -3*o + 4*a + 8839, -5592 = -4*o - 3*a + 6185. Calculate the common denominator of o/(-300) - (-6)/15 and 29/6.
12
Let d(y) = 2*y - 8. What is the lowest common multiple of d(7) and 20?
60
Let w = 50 - 39. Calculate the lowest common multiple of 64 and w.
704
Suppose -2 = -3*x + b + 7, 5*b + 13 = -x. Let i(l) = 11*l. Suppose -5*r + 8 = -42. What is the least common multiple of r and i(x)?
110
What is the common denominator of 1 + 0 + 319/77 and -107/6?
42
Suppose 4*p - 26 = -2*b - 0*b, -41 = -4*p + 3*b. Suppose 21*d - 19*d = 10. Calculate the lowest common multiple of p and d.
40
Let j be (-463)/(-4) + (-5)/(-20). Suppose 2*m = 6*m - j. Find the common denominator of m and -125/6.
6
Suppose -33 = l - 4*l. What is the lowest common multiple of 6 and l?
66
Suppose 2*y - 4 = 6. Suppose -12 = -3*u, -5*v + 0*v + 20 = -y*u. Let c = -12 - -22. What is the least common multiple of v and c?
40
Let a = -46 - -68. Calculate the least common multiple of (6/(-18))/((-1)/18) and a.
66
Let r = -4535/12 - -1141/3. Suppose -3*h - 12 = -h. Calculate the common denominator of 435/(-72) + 2/h and r.
24
Suppose -14 = 4*z + 42. What is the lowest common multiple of (-2 - -6)*z/(-8) and 51/15 - (-2)/(-5)?
21
Suppose 2 = -f + m, -f + 3*f + 16 = 5*m. What is the lowest common multiple of (f/(-4))/(1/(-4)) and 22?
22
Let x be ((-1533865)/86640)/((-7)/(-10)). Let b = 607/24 + x. Let r = 53057/25270 + b. What is the common denominator of -91/10 and r?
10
Let w(m) = 2*m**2 + 2*m. What is the lowest common multiple of 10 and w(-3)?
60
Suppose -z - t = -3, -2*z + 3*t + 14 - 3 = 0. Calculate the smallest common multiple of z and 12.
12
Let a be 1*(2 - -12)/(-2). Let x be ((-904)/1)/(a/2). Let p = 10603/42 - x. Find the common denominator of p and 33/20.
60
Suppose -w - 4*i + 442 = -9*i, -2240 = -5*w - 5*i. Let k = 929/2 - w. Find the common denominator of 3/(-5) - 634/60 and k.
6
Suppose 6*z = 3*z + 3. What is the smallest common multiple of 12 and (15/(-20))/(z/(-24))?
36
Let c(j) = -j**2 - 5*j + 40. What is the smallest common multiple of c(-9) and 19?
76
Let d(j) = -j - 24. Let z(v) = v + 36. Let q(f) = 8*d(f) + 5*z(f). What is the smallest common multiple of 4 and q(-8)?
12
Let t = -737/72 - 1/72. Find the common denominator of t and -73/8.
8
Suppose -2*f + 3*f = 6. Calculate the lowest common multiple of f and 8.
24
Let a(p) = 2*p**3 - p**2 + p - 1. Let c(s) = -s**3 - 9*s**2 + 1. Let w be c(-9). Calculate the smallest common multiple of a(w) and 11.
11
Suppose 5*n = 4*h + 20, 6*n - n + 40 = -2*h. What is the common denominator of 77/2 and 2/h + 254/(-55)?
22
Let h(m) = 4*m + 3. Let p be h(2). Let b = 33 - p. Suppose -2*a + 6 = -22. Calculate the least common multiple of b and a.
154
Let h = 1605 - 4882/3. What is the common denominator of -14/5 and h?
15
Let d(i) = -6 + 4*i**2 - 3*i**2 - 5*i + 0*i**2 + 2. What is the smallest common multiple of d(6) and 11?
22
Let c = 6 - 2. Suppose -35 = -c*l + 5. Calculate the lowest common multiple of 22 and l.
110
Let f = -125 + 155. What is the smallest common multiple of 22 and f?
330
Suppose -29 = -2*l - 2*v - 7, l - 9 = -2*v. Suppose 2*s - l = 3*y, -y - 4 = -2*s + 11. What is the lowest common multiple of 5 and s?
40
Find the common denominator of (1 + -6)/((-10)/(-85)) and (242/(-5))/(-8 - 0).
20
Let r = 7 - 0. Calculate the least common multiple of (-2)/r + 174/21 and 10.
40
Let t = 1 + 11. Let c(n) = 0 + t - 1 + n. What is the lowest common multiple of 4 and c(-8)?
12
Let c(a) = -a**3 - 6*a**2 - 2*a + 4. Let s be c(-6). Let i = s + -6. Find the common denominator of (-171*(-1)/i)/(-3) and 109/6.
30
Let d be ((-244)/(-14))/((-2)/4). Let h = -1765/42 - d. What is the common denominator of 97/16 and h?
48
Let y = 34294/9 - 3816. What is the common denominator of (-2)/(-10) + (-366)/(-120) and y?
36
What is the lowest common multiple of ((-1)/(-3))/(1/54) and 10?
90
Let z = -12406781/6 + 2062556. Let k = -5227 - z. What is the common denominator of k and -27/14?
42
Let n be 4/(-3)*531/(-6). Suppose -4*x - n = 5*y, -2*x + 8 - 2 = 0. Let h = -15 - y. What is the lowest common multiple of h and 6?
66
Suppose 33 + 3 = 4*o. What is the smallest common multiple of (-10)/15 + (-26)/(-3) and (-980)/(-45) + 2/o?
88
Let x = 6 - 12. Let u(v) = v + 6. Let a be u(x). Suppose -5*t - 3*j + 1 = -0, 3*t - 4*j - 18 = a. What is the least common multiple of 10 and t?
10
Let r = 2853 + -19918/7. Calculate the common denominator of 45/112 and r.
112
Let t = 3 - -17. What is the least common multiple of t and 14?
140
Let q(a) = -a**3 - 15*a**2 - 16*a - 14. Calculate the smallest common multiple of q(-14) and 63/6 - 2/4.
70
What is the common denominator of 3095/220 - ((-18)/33)/3 and 53/10?
20
Let u(b) = b + 1. Let o(q) = 17*q. Let f(d) = o(d) - 3*u(d). Let l be f(-4). What is the common denominator of -8 + 8 - l/9 and -56/3?
9
Suppose -p + 0 = 100. Calculate the common denominator of (5/p)/(1/138) and 19/8.
40
Suppose 2 = 4*h - 6. Let s(o) = -5*o + 5. Let a be s(-5). What is the lowest common multiple of h and 162/a - (-4)/(-10)?
10
Let t = 3559 + -106849/30. What is the common denominator of ((-39)/(-8))/((-15)/18) and t?
60
Let f be 18/(-4) - 5/(-10). Let d = f - -12. What is the smallest common multiple of 4 and d?
8
Let f = 1385 + -16555/12. What is the common denominator of 10/9 and f?
36
Let u(j) = j - 1. Let z be 1*(-2 - -4) + 1. Let m = 8 - 4. Calculate the lowest common multiple of m and u(z).
4
Suppose 27 = 4*z - 13. Suppose -q = 2 - 4. What is the lowest common multiple of z and q?
10
Suppose 0 = -3*v + 6. Suppose 0*n - v*n = -5*j + 13753, -n = j - 2745. Let x = -19198/7 + j. What is the common denominator of x and 39/8?
56
Let s = 43 + -16. What is the lowest common multiple of s and 24?
216
Find the common denominator of 3/10 and (-427)/70 - (0 - -1).
10
Let g = -4 - -8. Suppose g*z = 7*z - 6. Calculate the smallest common multiple of z and (0 + -5)/((-2)/8).
20
Let l(w) = w**2 - 5*w - 4. Let y be 38/5 - (-4)/10. Let v be l(y). Suppose k - v = -k. Calculate the lowest common multiple of k and 4.
20
Let g = 2/2019 + -167581/4038. Suppose 0 = -3*h + 6. Find the common denominator of g and (-118)/12 + h/(-6).
6
Let y = -991/7 + 137. Find the common denominator of -3 and y.
7
Calculate the common denominator of 95/2 and (-3 + (-158)/48)*-2.
12
Let o be (-2)/11 - 180/(-22). Let p = o - 4. Find the common denominator of p/176*(-4)/(-2) and 33/16.
176
Let x = 20459/6 - 3398. Let o be (-6087)/15 - (2 + -2). Let c = o + 411. Find the common denominator of c and x.
30
Suppose 0 = -3*c + 4*c, 4*c + 108 = 3*d. What is the smallest common multiple of 10 and d?
180
Suppose 0 = -4*j + 4*w + 56, -5*w + 13 = 4*j - 7. Let q(i) = i**2 + 3*i. Let b be q(-3). Let z = b + 3. Calculate the smallest common multiple of j and z.
30
Suppose -r - 4*h + 2 = -10, 29 = 2*r + 3*h. What is the lowest common multiple of 4 and r?
16
Let m be 4/30*(-36)/(-10). Let o = -1001/50 - m. Let q = -3/2627 + 328411/31524. What is the common denominator of q and o?
12
Let f = 74863/12 + -6243. What is the common denominator of f and 2/(-6) - 95/300?
60
Let w(f) = f**3 + 6*f**2 - 7*f - 5. Let m be w(-4). Suppose -g + 6*g - m = 0. What is the least common multiple of g and 4?
44
Let c = -16 + 23. What is the lowest common multiple of c and 10?
70
Let o = 56725/12 - 4734. Calculate the common denominator of o and (-495)/(-108) - (-20)/4.
12
Let s = -4 - -7. Calculate the least common multiple of 27 and s.
27
What is the smallest common multiple of (-46)/(-6) + 2/(-3) and 2/(-10) + (-328)/(-40)?
56
Let s = -3/859 - 42851/28347. Calculate the common denominator of 29/6 and s.
66
Let f | {
"pile_set_name": "DM Mathematics"
} |
54*g
Find the third derivative of 36715*k**4 + 274*k**3 + 11784612*k**2 - 2 wrt k.
881160*k + 1644
Find the first derivative of -3383*v**2*z + 3*v**2 - 506*z + 2333033 wrt z.
-3383*v**2 - 506
What is the derivative of -107445419*h**2 - 201820222 wrt h?
-214890838*h
Find the second derivative of 9883894*q**2 - 80390*q wrt q.
19767788
Find the second derivative of -a**4 - 18*a**3 + 14177*a**2 - 197663862*a wrt a.
-12*a**2 - 108*a + 28354
What is the second derivative of 20980854*p**3 - 5026*p - 491 wrt p?
125885124*p
What is the second derivative of 53608968*t**3 + 2*t - 39419059 wrt t?
321653808*t
Find the second derivative of -204497*d**2*j + 12*d**2 + 9540423*d - 3*j wrt d.
-408994*j + 24
Find the second derivative of 91259418*z**4 + 10*z + 4477466 wrt z.
1095113016*z**2
What is the third derivative of -3039103*d**3 - 3967*d**2 - 150*d wrt d?
-18234618
What is the derivative of -79459204*a**2*z**2 - 15309*a**2 + 2*a*z**4 + 313 wrt z?
-158918408*a**2*z + 8*a*z**3
What is the third derivative of 9358251*c**6 + c**4 - 39144966*c**2?
1122990120*c**3 + 24*c
What is the second derivative of -5*c**5 - 38*c**4 + 1595*c**2 - 65*c - 31193 wrt c?
-100*c**3 - 456*c**2 + 3190
What is the third derivative of -c*k**4 + c*k**2 - 148*c*k - 287*c + 4222*k**4 + 80*k**3 - k**2 + 2 wrt k?
-24*c*k + 101328*k + 480
Differentiate -34423577*a*c + 114783016*c - 2 wrt a.
-34423577*c
Find the first derivative of -100873916*s**3 - 98432315 wrt s.
-302621748*s**2
What is the third derivative of -1992*z**4 - 246*z**3 - 7825712*z**2 wrt z?
-47808*z - 1476
What is the third derivative of 22*d**4*l - 21*d**4 - 2603*d**3*l + 25*d**2 + 137821*d*l wrt d?
528*d*l - 504*d - 15618*l
What is the second derivative of -586*b**5 + 119100*b**2 - 1590925893*b?
-11720*b**3 + 238200
Differentiate 3*j*l**3 + 301594*j + 45*l**3 - 1188*l**2 - 15 wrt j.
3*l**3 + 301594
What is the third derivative of 19*i**4*k*w - 10516*i**4*w + 14*i**3*k + 2295*i**2*k*w - 10152*i*w wrt i?
456*i*k*w - 252384*i*w + 84*k
Differentiate 3*b**2 - 1867870*b*o + 7494631*o with respect to b.
6*b - 1867870*o
What is the derivative of -422665532*x**2 - 115283043?
-845331064*x
Find the second derivative of 117211409*f**2 - 229430*f - 18 wrt f.
234422818
Find the third derivative of -1418492*s**3 + 67797755*s**2.
-8510952
What is the third derivative of -1293757*h*o**3*w**2 - 2018*h*o**2*w - 14*h*o*w - 11*h*w**2 + 2*w**2 wrt o?
-7762542*h*w**2
Find the third derivative of 3156507*v**4 + 13*v**2 - 104025 wrt v.
75756168*v
Find the first derivative of -238*g*h**3*x + 26*g*h**2 + 8*g*h*x - 2*h**3*x - 7010*h**3 + 2*h**2*x - x + 4 wrt g.
-238*h**3*x + 26*h**2 + 8*h*x
What is the second derivative of 11*a**2*d*w**2 - 3865951*a**2*d*w - 2*a*d*w**2 + 610*a*d*w + 2*a*w - 277*d*w**2 + 2*d*w - 6 wrt a?
22*d*w**2 - 7731902*d*w
Differentiate -24378765*y**2 - 5*y + 447637346.
-48757530*y - 5
What is the second derivative of -174114*b**4 - 88*b**3 - 2459*b - 10413 wrt b?
-2089368*b**2 - 528*b
What is the second derivative of -125783858*c**2 + 126161220*c?
-251567716
Find the third derivative of -15641560*d**6 + d**5 + 3*d**2 + 4834*d + 695.
-1876987200*d**3 + 60*d**2
Find the third derivative of -4007996*i**6 + 449009*i**2.
-480959520*i**3
What is the third derivative of 17420428*p**3*q - 95*p**2 - 287585*q wrt p?
104522568*q
What is the second derivative of 1044*c**2*m**3*y**3 - 194974*c**2*m*y**3 - 1390534*c*m*y**3 + 5*c*y**3 + 4*m**3 wrt c?
2088*m**3*y**3 - 389948*m*y**3
Find the second derivative of -1032060*l**2*z**2 - 3*l**2*z - 42211*l**2 + 3*l*z**5 - l*z + 7 wrt z.
-2064120*l**2 + 60*l*z**3
What is the derivative of 192823175*m**2 - 77622539?
385646350*m
What is the second derivative of -3754*j**3 + 11575*j**2 - 90590031*j wrt j?
-22524*j + 23150
What is the third derivative of -11402833*z**3 + 85*z**2 - 5039*z wrt z?
-68416998
Find the second derivative of -3*c**2*f**3 - 869713*c**2 + 5880*c*f**3 + 2*c*f - 870 wrt c.
-6*f**3 - 1739426
Differentiate 29373884*m**3 + 16387993.
88121652*m**2
What is the first derivative of 2951475*o - 8118902?
2951475
Find the third derivative of -p**6 + 395*p**5 + 1867*p**3 + 78*p**2 - 41*p - 1572 wrt p.
-120*p**3 + 23700*p**2 + 11202
What is the third derivative of v**4 - 4589576*v**3 + 29727928*v**2 wrt v?
24*v - 27537456
Find the second derivative of 30108368*p**3 + 1092389*p - 18 wrt p.
180650208*p
What is the second derivative of 2*d*w**3 - 5463946*d*w**2 + 3*d*w - 683189*d - 3*w wrt w?
12*d*w - 10927892*d
Differentiate 25423*g**3 + 4*g**2 - 36*g - 12043628 wrt g.
76269*g**2 + 8*g - 36
Find the second derivative of -716*f**2*n*z**2 - 41*f**2*n*z + 87364*f*n*z**2 + 101121*f*n wrt z.
-1432*f**2*n + 174728*f*n
Find the third derivative of -5514900*x**6 - 1613812*x**2 + 2 wrt x.
-661788000*x**3
Find the third derivative of s**5 - 2*s**4 - 31396804*s**3 + 1106139588*s**2 wrt s.
60*s**2 - 48*s - 188380824
What is the third derivative of 21670157*r**2*z**3 - 274*r**2*z**2 + 18*r**2*z + 9*r*z**2 + 2*r wrt z?
130020942*r**2
Find the first derivative of -g*i**2*o + 4*g*i**2 - 1344*g*o - 14*g + 163*i**2*o - 3*i**2 - 2*i*o + o - 511 wrt g.
-i**2*o + 4*i**2 - 1344*o - 14
Find the third derivative of -136451391*r**4 + 21166053*r**2 wrt r.
-3274833384*r
What is the first derivative of 169620*t**2 - 3*t - 18851418 wrt t?
339240*t - 3
What is the third derivative of 940080*d*u*v**5 + 5688*d*u*v + 164*d*u + 5*u*v**4 - u*v**2 wrt v?
56404800*d*u*v**2 + 120*u*v
What is the second derivative of -16555931*d**2*f*i**2*z + 74*d**2*f - 2*d**2*i**2 - 3*d*f*i - 36*d*f*z - d*i + 2*f*i*z - 17*f wrt i?
-33111862*d**2*f*z - 4*d**2
Differentiate 3589867*i + 4059308 wrt i.
3589867
What is the second derivative of -78515683*a**2 + 67611374*a wrt a?
-157031366
Find the first derivative of 7919*w**3 - 2*w**2 - 244*w + 26775020.
23757*w**2 - 4*w - 244
What is the third derivative of -121293776*q**4 - 80090511*q**2 wrt q?
-2911050624*q
What is the first derivative of 2*z**4 + 2*z**3 + 486*z**2 - 48*z + 60800115 wrt z?
8*z**3 + 6*z**2 + 972*z - 48
Find the second derivative of -i*u**3 - 72843*i*u + 14*i + 4853*u**3 - 1383*u**2 + 3*u + 2 wrt u.
-6*i*u + 29118*u - 2766
Find the second derivative of 42729511*j**2 - 51255437*j wrt j.
85459022
Find the second derivative of 2*a*d**2 - 21*a*d + 3408471*d**2 - 28095*d wrt d.
4*a + 6816942
What is the derivative of 13*g**2*h - 4*g**2*l + g*l - 2*g - 1567010*h*l + 838501*l - 1 wrt h?
13*g**2 - 1567010*l
Find the third derivative of -23807*k**3*v**3 + 678*k**3 - 57*k**2*v**3 - k**2*v + k*v**2 + k*v + 23*v**3 + 1472*v wrt k.
-142842*v**3 + 4068
What is the third derivative of 855*v**5 - 3338*v**4 + 9*v**3 - 118173*v**2 + 80*v - 4 wrt v?
51300*v**2 - 80112*v + 54
What is the derivative of -73811236*g - 75587737 wrt g?
-73811236
What is the third derivative of -189*d**4*h + 19*d**4 - 12*d**3*h - 10*d**3 - 107*d**2*h - 110*d - 740*h wrt d?
-4536*d*h + 456*d - 72*h - 60
Find the first derivative of -3*h*k**2*z - 518*h*k + 2*h - 2790605*k**2*z + 71*k**2 + 3*k + 3 wrt z.
-3*h*k**2 - 2790605*k**2
Find the second derivative of 4057*o**4 - 17*o**3 - 591*o**2 + 711832934*o wrt o.
48684*o**2 - 102*o - 1182
What is the third derivative of 95159123*a**3 + 108715298*a**2 wrt a?
570954738
What is the second derivative of 176373835*m**2 + 237*m - 137384 wrt m?
352747670
What is the third derivative of -4373*g**5 - 3*g**4 + 88*g**3 - 16*g**2 - 3594059?
-262380*g**2 - 72*g + 528
Find the third derivative of -3*m**3*u**3 - 6304601*m**3 + 4*m**2*u**3 - 2*m**2*u**2 - 1560*m*u**2 - 38*m*u - u**3 wrt m.
-18*u**3 - 37827606
What is the third derivative of -872716912*u**4 + 169144859*u**2 + 1 wrt u?
-20945205888*u
Differentiate -5*a**2*p - 26678182*a**2 + 7*a*p + 647530*p + 2 with respect to p.
-5*a**2 + 7*a + 647530
What is the third derivative of 3101*b**5 + 194*b**4 - 2*b**3 - 360303*b**2 - 2?
186060*b**2 + 4656*b - 12
What is the first derivative of -279598*r**2 + 307*r + 131925776 wrt r?
-559196*r + 307
What is the second derivative of 848258*d*z**2 - 3004648*d*z + 5*z**4 + 2*z wrt z?
1696516*d + 60*z**2
What is the third derivative of -19332319*t**3 + 4797*t**2 + 20*t - 22?
-115993914
Differentiate -6252615*k + 6242422 wrt k.
-6252615
What is the second derivative of 23852*u**5*v - 7494*u**3*v - 6955456*u | {
"pile_set_name": "DM Mathematics"
} |
+ 2439 + 3*i**2 + 528 - 2967 + 4*i**2.
7*i**2
Collect the terms in -116 + 215 - 28 - 71 + 129*o.
129*o
Collect the terms in -104*q**2 - 279*q**2 + 412*q**2 - 104*q**2 + 78*q**2.
3*q**2
Collect the terms in 5767*s**3 - 3*s**2 + 5732*s**3 + 3*s**2 - 11498*s**3.
s**3
Collect the terms in 34*p**3 + 2700*p - 306*p + 1842*p - 33*p**3 - 159*p.
p**3 + 4077*p
Collect the terms in -749043*d**3 - 422 + 422.
-749043*d**3
Collect the terms in 117951 - 16663*z + 8334*z + 8335*z - 117951.
6*z
Collect the terms in 32870*r**2 - 1 - 146811*r**2 + 1.
-113941*r**2
Collect the terms in -44*c**3 - 115*c**3 + 1 + 3 - 99*c**3 - 4.
-258*c**3
Collect the terms in -2 + 5 - 101066*u**3 + 5 - 8.
-101066*u**3
Collect the terms in -7*d - 2*d + 5*d - 1548 + 3*d + 3*d.
2*d - 1548
Collect the terms in 75 - 60*g + 204*g - 95*g - 56*g.
-7*g + 75
Collect the terms in 334*z - 35552*z**2 - 35566*z**2 + 71098*z**2 - 334*z.
-20*z**2
Collect the terms in 4*h + 0*h + 297258381*h**2 - 4*h - 297258396*h**2.
-15*h**2
Collect the terms in -238611*d**2 - 5 + 725673*d**2 - 2*d + 2*d.
487062*d**2 - 5
Collect the terms in 1958 + q - 1001 - 326*q**3 - 955.
-326*q**3 + q + 2
Collect the terms in -23*r**3 - 286598563 + 147*r**2 - 147*r**2 + 286598563.
-23*r**3
Collect the terms in 834 + 16278*a - 2*a**2 - 16278*a.
-2*a**2 + 834
Collect the terms in -219 + 31 + 98 - 2*v.
-2*v - 90
Collect the terms in 37*s - 18*s - 33*s + 110*s + 22*s**3 + 61*s - 3*s**2.
22*s**3 - 3*s**2 + 157*s
Collect the terms in t - 130 + 409 - 58 - 100.
t + 121
Collect the terms in -2730*g**2 + 8252*g**2 - 2752*g**2 - 2752*g**2.
18*g**2
Collect the terms in 73*c - 45*c**2 + 68*c + 52*c**2 + 59*c - 200*c.
7*c**2
Collect the terms in 14429 + 38537*o**2 - 38533*o**2 - 7258 - 7254.
4*o**2 - 83
Collect the terms in y + y**2 + 6*y**2 + y + 199 - 11*y**2 - y.
-4*y**2 + y + 199
Collect the terms in 175*a + 173*a - 7165*a**2 - 348*a.
-7165*a**2
Collect the terms in -28*w**2 - 8*w**2 - 56*w**2 - 14*w**2 - 1068*w + 1069*w.
-106*w**2 + w
Collect the terms in 2*s**2 + 2*s**2 + 0*s**2 + 4*s**2 - 15317749 + s**2 + 15317749.
9*s**2
Collect the terms in -125874*d + 62884*d + 62976*d.
-14*d
Collect the terms in -2*m + 2 + 0 + 11 + 44 - 39 + 4*m.
2*m + 18
Collect the terms in 630*d**3 + 613*d**3 + 609*d**3 + 658*d**3 - 2463*d**3.
47*d**3
Collect the terms in -271*t**2 + 1 + 946*t**2 - 307*t**2 - 1.
368*t**2
Collect the terms in -138*u**2 + 78*u**2 - 12*u + 2 + 39*u**2 + 59*u**2 + 12*u.
38*u**2 + 2
Collect the terms in 418*f**2 - 406*f - 224*f**2 - 192*f**2.
2*f**2 - 406*f
Collect the terms in -582202571 - 2*t - 582202569 + 1164405140.
-2*t
Collect the terms in -380*t**3 + 2675*t**3 - 2016*t**3.
279*t**3
Collect the terms in 268*c + 286*c - 894*c - 701*c - 532*c.
-1573*c
Collect the terms in -p + 153218*p**3 - 152873*p**3 + p + 4.
345*p**3 + 4
Collect the terms in -10*b**3 + 189015040 - 189015040.
-10*b**3
Collect the terms in -627659965*i**2 - 25*i**3 + 627659965*i**2 - 125*i**3.
-150*i**3
Collect the terms in 1948*c + 1369*c - 1068*c.
2249*c
Collect the terms in 79590*d - 26526*d - 26529*d - 26524*d.
11*d
Collect the terms in -6*a - 7 - 6*a + 4*a - a + a - 7*a.
-15*a - 7
Collect the terms in 67781*n + 5340 + 38336*n - 5340.
106117*n
Collect the terms in 544*l**3 - 1366*l**3 + 430*l**3.
-392*l**3
Collect the terms in m + 8*m - 9*m - 38861*m**3 + 38679*m**3.
-182*m**3
Collect the terms in 49*c**3 + 96*c**3 + 10*c**3 - 152*c**3.
3*c**3
Collect the terms in -84*o - 46*o + 40*o - 20*o**2 - 78*o**2 - 209*o.
-98*o**2 - 299*o
Collect the terms in 7*y - 470861 - 471075 + 941936.
7*y
Collect the terms in m + 1134 - 2857 + 1712 + 9*m.
10*m - 11
Collect the terms in 386*q**3 - 7*q - 146*q**3 - 128*q**3 + 43 - 135*q**3 - 36 - 4*q.
-23*q**3 - 11*q + 7
Collect the terms in -108774*f**3 - 108799*f**3 + 217551*f**3.
-22*f**3
Collect the terms in 22890252*v - 22890251*v + 3 - 55 - 1.
v - 53
Collect the terms in 1007*h**2 + 8*h**3 - 13*h**3 - 529*h**2 - 572*h**2.
-5*h**3 - 94*h**2
Collect the terms in 58 - 17*z**3 - 3*z + 61 + 52 - 222 + 51.
-17*z**3 - 3*z
Collect the terms in -5362*q - 1225*q + 37 + 9 + 1310*q.
-5277*q + 46
Collect the terms in 2854819 - 1427400 - 17*z - 1427419.
-17*z
Collect the terms in 372*h + 344*h - 1843*h + 372*h + 379*h + 378*h.
2*h
Collect the terms in 12*a**2 + 28*a - 63*a + 31*a - 22*a**2 + 91.
-10*a**2 - 4*a + 91
Collect the terms in 41 - 226828*m - 107 + 30 + 33.
-226828*m - 3
Collect the terms in -44 - 19*l + 65*l - 107*l + 60*l.
-l - 44
Collect the terms in -92 + 24 + 67*i + 15 + 24 + 29.
67*i
Collect the terms in -3803*r**2 - 3607*r**2 + 7759*r**2.
349*r**2
Collect the terms in 2819*r + 5 - 5 - 866*r.
1953*r
Collect the terms in 11766*p - 23*p**2 - 22*p**2 + 46*p**2 + 2*p**3.
2*p**3 + p**2 + 11766*p
Collect the terms in -2*f**3 + f**3 - 2*f**3 - 3*f**3 + 5*f**3 - 341*f**2 - f**3.
-2*f**3 - 341*f**2
Collect the terms in 1962*n**2 + 850*n**2 - 3529*n**2.
-717*n**2
Collect the terms in -6941*v - 6*v**2 + 4138*v + 2803*v.
-6*v**2
Collect the terms in -41*j**2 - 5*j**3 + 50*j**2 + 93*j**2 + 36*j**2.
-5*j**3 + 138*j**2
Collect the terms in -552997*j + 276980*j + 276026*j.
9*j
Collect the terms in 3468*g**2 - 8593*g**3 - 1718*g**2 - 1750*g**2 + 8597*g**3.
4*g**3
Collect the terms in -8985*l - 8482*l - 12836*l.
-30303*l
Collect the terms in -5 - 7 + 5 + 2 - 176*k**2 + 5.
-176*k**2
Collect the terms in -866*x - 818 - 851 - 1932*x + 1668.
-2798*x - 1
Collect the terms in -2095*d**2 - 2109*d**2 - 2094*d**2 - 2084*d**2 + 12546*d**2 - 2103*d**2 - 2107*d**2.
-46*d**2
Collect the terms in -33*p - 28*p + 2*p - p - 27*p + 82*p.
-5*p
Collect the terms in 41*m**3 - 40*m**3 + 1049*m + 0*m**3.
m**3 + 1049*m
Collect the terms in 1425749324 - 8*y**2 - 1425749324.
-8*y**2
Collect the terms in 38 - 40*c**2 - 102 - 39*c**2 + 64 + 148*c**2.
69*c**2
Collect the terms in -105 - 106*z**3 + 20 + 14 + 71.
-106*z**3
Collect the terms in -28*x - 1046*x**2 + 58*x + 25976*x**2 - 30*x.
24930*x**2
Collect the terms in -50 - 48*q**3 - 44*q**3 + 154*q**3 - 28 + 78 - 59*q**3.
3*q**3
Collect the terms in 4511*s**3 - 41730 + 41729 - 919*s**3.
3592*s**3 - 1
Collect the terms in 1531*c**3 - 569 - 376*c**3 + 558.
1155*c**3 - 11
Collect the terms in 3*m**3 - 6*m - 14*m + 4*m - 4*m - 42*m.
3*m**3 - 62*m
Collect the terms in -211066*o**2 + 105700*o**2 + 105681*o**2.
315*o**2
Collect the terms in -981*d**3 - 8373*d**3 + 37286*d**3 + 10164*d**3.
38096*d**3
Collect the terms in -2943*i + 8373*i - 5283*i.
147*i
Collect the terms in 466*b**2 + 1202*b**2 - 4*b - 213 - 178 + 391 + 5*b.
1668*b**2 + b
Collect the terms in -3136*c - 7517*c**2 + 3136*c + 7515*c**2.
-2*c**2
Collect the terms in -6486*v**3 + 1687854587*v + 6488*v**3 - 1687854587*v.
2*v**3
Collect the terms in -506 - 498 - 55*v**2 - 76*v**2 + 985 - 74*v**2.
-205*v**2 - 19
Collect the terms in 821 + 823 + 829 - t + 830 + 823 - 4126.
-t
Collect the terms in 71318*m - 23768*m - 23761*m - 23786*m.
3*m
Collect the terms in 2 + 1593*a - 2*a**2 - 303*a - 1.
-2*a**2 + 1290*a + 1
Collect the terms in 3 + 499619*r - 166536*r - 166541*r - 166530*r.
12*r + 3
Collect the terms in -1349*r**2 - 34195*r**2 + 2104*r**2.
-33440*r**2
Collect the terms in -11335*p + 22184*p - 11232*p.
-383*p
Collect the terms in -68*d - d + 18*d + 16 + 22*d.
-29*d + 16
Collect the terms in -319867*f**2 - 319883*f**2 + 959643*f**2 - 319892*f**2.
f**2
Collect the terms in 2586673*s + 2 - 2444272*s - 9528389*s - 940342*s.
-10326330*s + 2
Collect the terms in -4 + 4 + 6272*o - 9850*o.
-3578*o
Collect the terms in -1588484*p**2 + 3177095*p**2 - 1588610*p**2.
p**2
Collect the terms in -193 + n**2 - 75*n + 186 - 181 + 75*n + 188.
n**2
Collect the terms in 50 + 996*t - 150 + 51 + 49.
996*t
Collect the terms in -13214*y + 38*y**2 + 310*y**2 - 13172*y + 26388*y.
348*y**2 + 2*y
Collect the terms in 386 - 2127*x**3 + 4668*x**3 - 2496*x**3 - 388.
45*x**3 - 2
Collect the terms in 2 + 173*b + 7*b**3 - 357*b + 184*b - 2*b**3.
5*b**3 + 2
Collect the terms in -1 - 66*r**2 + 17*r**2 + 7*r**2 - 15*r + 4 + 1 - r**3.
-r**3 - 42*r**2 - 15*r + 4
Collect the terms in -494*j**2 - 9*j**3 - 1 + 27*j**3 + 56*j**2 - 3*j**3.
15*j**3 - 438*j**2 - 1
Collect the terms in 40800 + 40804 + 40810 + 41176 + 2*x**2 - 163590.
2*x**2
Collect the terms in -10935 - 575*u + u**2 + 2*u**2 - 5*u**2 + | {
"pile_set_name": "DM Mathematics"
} |
3 + sqrt(343) + -5 + 3 + 4 + ((sqrt(448) - sqrt(28))/sqrt(4) - (sqrt(175) + 2))))**2.
1080*sqrt(7) + 6624
Simplify -1 + (-5*sqrt(384)*-1)/(sqrt(1200)*1).
-1 + 2*sqrt(2)
Simplify ((sqrt(234)*4 + sqrt(26) + sqrt(26)*2*6)/(-6*sqrt(32) - sqrt(36)/sqrt(2))*-3)**2.
8125/81
Simplify 2 + 2 + ((sqrt(24) - sqrt(48)/sqrt(2))/sqrt(8) - (sqrt(6)/sqrt(2) + 4)) + 5 + 1 + sqrt(363) + (sqrt(120)/sqrt(10))**2.
10*sqrt(3) + 18
Simplify -4*(1 + -3 + sqrt(1568) + -1 + (0 + sqrt(1568))**2 + 3)*4.
-25088 - 448*sqrt(2)
Simplify (-6*(5*-6*-3*(-3 + 2*sqrt(343)) + 2))**2.
-24312960*sqrt(7) + 402660864
Simplify ((-4*2*(sqrt(1300) - (sqrt(1300) + (sqrt(1300) - -1*sqrt(1300) - sqrt(1300)))))**2 - (4 + (-3 + 3*sqrt(1300) + sqrt(1300))**2)) + -2.
240*sqrt(13) + 62385
Simplify 5 + -6*(sqrt(34)/sqrt(2) - sqrt(17))**2 + 4*sqrt(153) + (sqrt(204) - 6*sqrt(204)*2)/(sqrt(108)*1).
5 + 25*sqrt(17)/3
Simplify (((sqrt(21) + sqrt(189)*1 + sqrt(63)/sqrt(48))*3)/(((-2*sqrt(216))/sqrt(9))/(sqrt(24)/(sqrt(3) + (-2*sqrt(3) - sqrt(3))))))**2.
18207/256
Simplify 1 + ((-5 + (sqrt(931)*1*4 - (sqrt(931) + sqrt(931) + -1 + 5)))*-2)**2.
-1008*sqrt(19) + 15221
Simplify (sqrt(27)*2*2)/(sqrt(441) - 2*sqrt(441)) + ((sqrt(162) + 2*sqrt(162))/sqrt(6) - (sqrt(96)/(sqrt(32)/sqrt(4)))/sqrt(4)).
52*sqrt(3)/7
Simplify -3*((sqrt(80))**2 + -3 + sqrt(5) - (1 + sqrt(80))**2) + -4*((-4 + sqrt(20) - sqrt(5)) + (sqrt(5) - (sqrt(5) - (-2 + sqrt(5)))*4)).
13*sqrt(5) + 60
Simplify -1 + 3*(((3 + sqrt(245))*2)**2 - (0 + sqrt(500) + 1*sqrt(20))**2) + 2.
889 + 504*sqrt(5)
Simplify -3*(-1 + sqrt(17) + -1 - sqrt(136)/(sqrt(16)/sqrt(2)))**2 + -3 + sqrt(119)/((2*sqrt(42))/sqrt(6)) + (sqrt(2057)*1 - sqrt(2057) - sqrt(17)*2*-1).
-15 + 5*sqrt(17)/2
Simplify (-4 + 6*((-2 + sqrt(612) + -2 - sqrt(612))**2 - (sqrt(612) - (sqrt(612)*-2 + -2))**2))*-6 + 3.
2592*sqrt(17) + 197883
Simplify (-2*sqrt(88)*4 - (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88)*3 - sqrt(88)) - sqrt(88))))*4)/(sqrt(512)*-3 - (sqrt(88)*2)/sqrt(11)).
0
Simplify (-5 + ((6*sqrt(4)/sqrt(2) + sqrt(2))**2 - (sqrt(2) - (0 + (sqrt(2) - sqrt(2)*-2) + sqrt(2))**2)) + sqrt(22)/(sqrt(11) - (sqrt(11) + sqrt(539)*-4)))*6.
-81*sqrt(2)/14 + 750
Simplify (0 + sqrt(252) + 0 + 1*sqrt(252)*5)**2 + 2 + (((sqrt(252) - (sqrt(252) - (2 + sqrt(252))) - sqrt(252)) + -4)*6)**2.
9218
Simplify ((sqrt(180)/(sqrt(6)/sqrt(2)))/sqrt(5))/(6*-2*sqrt(4)*-4)*3.
sqrt(3)/16
Simplify (-4*((-2*sqrt(80)*5 - sqrt(20)/((sqrt(192)/sqrt(4))/sqrt(12))) + -2))**2*6.
15744*sqrt(5) + 807264
Simplify -4 + (sqrt(1539) + -3)*-5 + ((sqrt(19) + (sqrt(19) - sqrt(171)))**2 + -3)*5 + 5.
-45*sqrt(19) + 96
Simplify -4*(2 + ((sqrt(19) + -1 + -3)*-1 - (4 + (sqrt(304))**2 + -5)))*-5*-6.
120*sqrt(19) + 35640
Simplify -1 + 4 + (sqrt(1100) + -2 + sqrt(1100) - (sqrt(44) - (sqrt(44) - (sqrt(44) + 0 + sqrt(44)))*3))**2 + -2.
-48*sqrt(11) + 1589
Simplify (-3*(sqrt(432) + sqrt(432)*2*2))/(4*((sqrt(144)/sqrt(4))/sqrt(6) - (-2*sqrt(66))/sqrt(11))).
-15*sqrt(2)/2
Simplify 1 + ((3*(3*(sqrt(500) + sqrt(500)*-2) + -4) + 0)*-5 + 0)**2.
54000*sqrt(5) + 1016101
Simplify -4*((sqrt(19) - (sqrt(57) + 1*sqrt(57) + sqrt(57) + sqrt(57))/sqrt(3)) + -5 + sqrt(19) + 3 - 3*6*sqrt(190)/sqrt(90)).
8 + 32*sqrt(19)
Simplify 1*(-2 + sqrt(152)/sqrt(200) + (sqrt(190)/sqrt(10) + sqrt(19))**2*3 + -4).
sqrt(19)/5 + 222
Simplify (3*(sqrt(80) + sqrt(80) + -1)*4*4*5*4 + 0)**2 + 1.
-14745600*sqrt(5) + 295833601
Simplify (-3*(sqrt(228)*-1*1 - sqrt(228))*5)/(sqrt(1200) - -2*sqrt(1200) - (sqrt(48) + (sqrt(144)/sqrt(3) + sqrt(48))*-5)) + 5.
5*sqrt(19)/8 + 5
Simplify ((sqrt(150)*1*-4*5)/(sqrt(75)*1*-2 + sqrt(75)))**2 + -5.
795
Simplify (5*(2*sqrt(192) + -1*sqrt(12)*-1))/(sqrt(64)*-2 - (sqrt(484) - -1*sqrt(484))).
-3*sqrt(3)/2
Simplify (-3*sqrt(209)*-6*5*-4)/(sqrt(704)*-3 - (sqrt(11) - -2*sqrt(44))).
360*sqrt(19)/29
Simplify (sqrt(90)/sqrt(3)*-6 - (sqrt(180) - (-3*sqrt(180) + sqrt(180)))/sqrt(6))/(sqrt(360)*2 - (2*sqrt(1000) + sqrt(1000))) + -5.
-5 + sqrt(3)/2
Simplify (-5*6*(sqrt(72) + -2*(sqrt(72) + -3) + sqrt(72) - -3*(sqrt(72) + 5)))**2*4.
2721600*sqrt(2) + 3920400
Simplify (sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-3)) + sqrt(512)*5)/((sqrt(704)*-1 - sqrt(44))/(6*sqrt(44))).
-408*sqrt(2)/5
Simplify -4 + (sqrt(128) + 1)*5*-2 - (-1 + (2 + (sqrt(128)*-1)**2)*2).
-273 - 80*sqrt(2)
Simplify -6*(sqrt(1792) - (sqrt(1792) + -1)*-6) - (0 + sqrt(1792) + 5 + 2*(sqrt(1792) + -1))**2.
-16101 - 960*sqrt(7)
Simplify ((sqrt(650)*4)/(sqrt(22)/sqrt(176)) + -3 + sqrt(1300) + 2 + -5 + 4)**2.
-360*sqrt(13) + 105304
Simplify 4*(0 + -2*sqrt(288) + sqrt(288) - sqrt(288))**2 + (sqrt(288) - (0 + (sqrt(288) - (sqrt(288) + -1)))**2) + -2 + 0 + -3 + -1.
12*sqrt(2) + 4601
Simplify ((-3*sqrt(76) - sqrt(76))*1*1)**2 + (sqrt(76)*1 - sqrt(76)) + 2 + 1 + 0.
1219
Simplify ((sqrt(1100) - ((2*sqrt(1100) - sqrt(1100)) + -1 - sqrt(1100)) - sqrt(1100)*1*-2)*-1 + 0 + sqrt(1100) + 0 + sqrt(1100) + 4 + 3)**2 + -4.
-120*sqrt(11) + 1132
Simplify 3 + ((-5*(0 + sqrt(300)) - (-2*sqrt(300) + -4))**2 + (sqrt(300) + (sqrt(300) + 0)**2*2)*-4)*-6.
-1893 + 1680*sqrt(3)
Simplify ((2*sqrt(500) + 3 + sqrt(125))*-3)**2 - (4*5*(sqrt(320) - (sqrt(320) - (sqrt(320) + -2 - sqrt(320))))*-6)**2.
-29394 + 1350*sqrt(5)
Simplify sqrt(180) - sqrt(180)*-5 - sqrt(25)/sqrt(125) - (sqrt(45) + 2*(sqrt(180)/sqrt(4) + sqrt(45)))**2*-6.
179*sqrt(5)/5 + 6750
Simplify -3 + ((sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))*-3 - sqrt(1331) - (-1 + sqrt(1331) + -5))*1 + -1)**2.
880*sqrt(11) + 85206
Simplify (4*sqrt(11) + -5 - sqrt(1331)*-6)**2 + (-1 + (-6*(sqrt(11)*4 - sqrt(11)))**2)*-5.
-700*sqrt(11) + 36110
Simplify ((2 + sqrt(425) + 0 + -1 - (-5 + 3*sqrt(425)*3))*-6)**2.
-17280*sqrt(17) + 980496
Simplify -4 + (sqrt(88) + 1*sqrt(88)*-5 + -1*(sqrt(88)*-1 - sqrt(88)))/(sqrt(8)*-6*1*6).
-4 + sqrt(11)/18
Simplify -2*4*((sqrt(847) + -2)*-4 - (3 + sqrt(847))*-6)*-5.
1040 + 880*sqrt(7)
Simplify (4 + 5*(sqrt(1053) + (sqrt(1053) + 3)*-5 + -2*sqrt(1053) + 3)*4)**2.
509760*sqrt(13) + 15218896
Simplify (3 + (3*sqrt(175) + sqrt(175) - sqrt(175)) + -3 + -1 - ((4 + (sqrt(175) - (sqrt(175) + 1)) - sqrt(175)) + -4)*-4)**2.
50*sqrt(7) + 200
Simplify ((2 + (-3*sqrt(2057)*-5 - (sqrt(2057) + (2 + sqrt(2057) + 3 - sqrt(2057)))))*-2 + 1)**2.
-4312*sqrt(17) + 1612737
Simplify 1*(sqrt(200) - (sqrt(200) + 1*sqrt(200))**2 - sqrt(200))*-3 + 6*(-3*(4 + sqrt(2)) + 3).
-18*sqrt(2) + 2346
Simplify ((sqrt(200) + 0)*3*-3*-1 + (-3*sqrt(2000) + sqrt(2000))/((sqrt(10) + sqrt(90))*-5))**2.
16562
Simplify (3*sqrt(1296)*-2)/(5*(sqrt(3) + sqrt(27)/sqrt(9))*1).
-36*sqrt(3)/5
Simplify (((-3*(4 + (sqrt(200) - (sqrt(200) + -2)) + sqrt(200)) - (2 + 0 + sqrt(200) + -4)) + -5)*-1)**2.
1680*sqrt(2) + 3641
Simplify 6*(-1*sqrt(1377) + 4 + -1 + sqrt(1377) + -5 + (-2*sqrt(1377) + -3 + (sqrt(1377) - (-1 + 2 + sqrt(1377) + sqrt(1377))))**2).
1296*sqrt(17) + 74442
Simplify (-2*sqrt(140)*-2 - sqrt(140) - -6*(sqrt(140)*-2 - sqrt(140)))/((-1*sqrt(1210))/((sqrt(256) + sqrt(16))/sqrt(8) - sqrt(2))).
120*sqrt(7)/11
Simplify 5 + ((2 + sqrt(252))**2 + -4 - (sqrt(252) + 0 + -1)) + -5 + -1.
18*sqrt(7) + 252
Simplify ((1*(sqrt(84)*2 + sqrt(84)) - ((sqrt(84) - (2*sqrt(84) - sqrt(84))*-2) + sqrt(84)))/(1*sqrt(96)/sqrt(8)*6))**2.
7/36
Simplify ((sqrt(8208) - (sqrt(8208) + -2*2*sqrt(8208) + sqrt(8208)))*3)/((sqrt(126)/(sqrt(6)*-2))/(1*sqrt(175))).
-1080*sqrt(19)
Simplify ((-5*sqrt(170)*-1)/(-5*-1*sqrt(10)) + ((sqrt(102) + -2*sqrt(102))*4)/sqrt(1350))**2.
2057/225
Simplify 1*((sqrt(12)/sqrt(4) + 2 + sqrt(3))**2 - sqrt(3)) + 3 + -2*(sqrt(432) + (-1*sqrt(432) - sqrt(432)) + -5)**2.
-895 - 233*sqrt(3)
Simplify ((sqrt(156) + -3*sqrt(156)*-2)*-5)/(sqrt(27)/((sqrt(90)*1)/sqrt(10)))*-6.
420*sqrt(13)
Simplify (((sqrt(405) + 1)*2 + -3 + -1*sqrt(405) + sqrt(405) + sqrt(405) - (sqrt(405) + (1 + sqrt(405))*-3 + sqrt(405) + -1 + -5)*-3)*2)**2.
3136
Simplify (sqrt(66) - (-3*3*sqrt(66) + sqrt(66)) - sqrt(66))/(-2*2*sqrt(6)) + 5*(sqrt(1100) + 0 + -1 + 0).
-5 + 48*sqrt(11)
Simplify -1 + ((sqrt(102) - -1*sqrt(102)*-3) + -1*((sqrt(102) + sqrt(102)*-1 - sqrt(102)) + sqrt(102)))/((sqrt(30)/(sqrt(30)/sqrt(6) + sqrt(5)) + sqrt(6))*-1).
-1 + 4*sqrt(17)/3
Simplify (-4 + sqrt(180)/sqrt(9) + -5 + 1 + (sqrt(180)/(-1*sqrt(3)))/sqrt(12))**2 + 0.
-16*sqrt(5) + 69
Simplify 6*((sqrt(6)/(sqrt(450)/sqrt(6) - sqrt(3) - sqrt(3))*-5 - ((sqrt(162) - (sqr | {
"pile_set_name": "DM Mathematics"
} |
(-8) and u/10 - (-2355)/(-1050).
112
Calculate the common denominator of 8/(-52) - (9/12 + (-163444)/185107) and -101/4.
1964
Let w be 0*(1 - (-8)/(-10)). Let q(h) = 14*h + 102. Calculate the smallest common multiple of q(w) and 33.
1122
Let c = -142860 + 55429725/388. Calculate the common denominator of c and 3/8.
776
Suppose 3*u = 2*u + 6. Calculate the lowest common multiple of (-151)/(-17) + (-28 - 21988/(-782)) and (-2)/4 + 93/u.
45
Let i = 56 - 36. Let f(w) = -w**2 - 7*w - 12 + 17*w + 10. Calculate the least common multiple of i and f(2).
140
Let n(u) = 8*u**2 - 18*u - 10. Let s be (-7)/(196/148) + (-4)/(-14). Let v be n(s). Calculate the common denominator of 1455/(-18)*(-8)/v and 53/14.
42
What is the lowest common multiple of 6 and (15*597)/(381/254)?
5970
Let l(y) = 15*y**2 + 612*y - 4200. Calculate the smallest common multiple of l(7) and 3.
819
Calculate the common denominator of (-39)/(-91)*(-45)/153 and 67/9.
1071
Suppose 3278 = 3*m + 5*o, 4*m - 4*o + 1119 = 5479. Suppose 3*y = -18188 + m. Let z = y + 34319/6. Calculate the common denominator of z and -19/36.
36
Let m = 27 - 15. Let r(l) = 4*l**2 + 4*l - 4. Let b be r(-4). Suppose 0 = -3*k + b - 2. Calculate the lowest common multiple of k and m.
84
Suppose 2*a - 2*x - 32 = -0*a, 0 = 5*a - 2*x - 71. Find the common denominator of a/78 + (-73)/(-3) and -95/12.
12
Suppose -8*z = 7*z + 720. What is the common denominator of 64/33 and (548/z*-4)/(-12)?
396
What is the smallest common multiple of -27 + 28 + (-206)/(-12) + (-3)/18 and 136?
1224
Let w = 21865/34524 - 350/411. Find the common denominator of 13/588 and w.
1764
Let x = 53125/12 + -4433. Find the common denominator of (465/(-1550))/(4/(-5)) and x.
24
Let f be (2*1)/(3/6). Suppose 195 = u + f*u. Calculate the smallest common multiple of 458/(-5954) + 313/13 and u.
312
Let t be 21/(1 + (-25)/10). Find the common denominator of -10/11 and 2 + 11 + t + (-31)/(-15).
165
Let f = -13 - -27. Let k(i) be the first derivative of i**4/4 - 9*i**3 + 27*i**2/2 - 12*i + 110. What is the lowest common multiple of k(26) and f?
14
Let k = -47243/156 - -3605/12. Let c(i) = -i - 3. Let d be c(-1). What is the common denominator of k and -137*1/24*d?
156
Let v = -173255/354 - 265/118. Let x = v + 10454/21. Suppose 5*t - 122 = 23. What is the common denominator of t and x?
7
Let v be 7204/18 - (-2)/(-9). Suppose -32*j = -7*j - v. Calculate the least common multiple of 88 and j.
176
Suppose -60*h - 44*h = -18*h - 430. Calculate the lowest common multiple of h and 1485.
1485
Let d = 2891 + -4120. Let w = d - -19569/16. What is the common denominator of w and -51/20?
80
Let f = 4899 - 29243/6. Calculate the common denominator of (-10)/(-24)*(49 - -1) and f.
6
Let y = -1680949/46 + 36544. Let f = -130 - -334/3. What is the common denominator of f and y?
138
Let d = 782 - 420. Let n = -1483/4 + d. Find the common denominator of n and (-10)/(-35) + (-26)/(-252).
36
Suppose 6*u = 27*u - 12390. What is the common denominator of (-646)/252 - 2/(-7) and u/756 + (-12)/28?
54
Let m(a) = 14522*a**2 - 4*a. Let w be m(-1). Let x = -1176547/81 + w. What is the common denominator of x and -31/6?
162
Let z(w) be the first derivative of -w**4/4 + 2*w**3 + 21*w**2/2 - 28*w - 147. Calculate the smallest common multiple of z(8) and 33.
132
Calculate the least common multiple of 16 and ((-2352)/(-18) - -8)/(1/12).
1664
What is the common denominator of 73/152 and (1/24)/((-7868)/166914)?
2128
What is the common denominator of 67/12 and 6/(-39)*7208/1908?
468
Let t(w) = -w**2 - 13*w + 8. Let i be t(-8). Let c = 206 - 250. Let y = c + i. Calculate the least common multiple of y and 88.
88
Let d = 11163 + -122751/11. Find the common denominator of d and 3/((-27)/34) - -1.
99
Let i = 1839359 + -10705069247/5820. Calculate the common denominator of i and 85/6.
5820
Let w be 90/(-60) + (-2 - (-99)/2). Let z be 9*-2*2/(-12). Suppose -5*v + 65 = -d, -4*d = -z*v - 2*d + w. Calculate the lowest common multiple of v and 30.
60
Let j be 3928720/1800 + (-4)/18. Let u = j - 2175. Calculate the common denominator of u and 7/6.
30
Suppose w + 2*u - 5 = 34, 0 = -5*w - 5*u + 220. Suppose -5*q + 0*j - w = j, 2*j = -2*q - 18. Find the common denominator of 61/8 and 20/q - 374/(-48).
24
Let o(u) = 3*u**2 - 120*u + 804. Calculate the least common multiple of o(7) and 629.
1887
Let m = -191 + 78. Let p = m + 155. Calculate the lowest common multiple of 54 and p.
378
Suppose 61*t + 105*t - 10*t = 55692. What is the lowest common multiple of t and 1190?
3570
Let g = 17243/19446 + -8/1389. Find the common denominator of g and 17/966.
966
Suppose -39*p + 79098 = -39462. Find the common denominator of -99/50 and 15827/p - (4 + 1).
800
Let s(u) = -u**3 + 5*u**2 + 153*u - 29. Calculate the smallest common multiple of 1036 and s(15).
4144
Let u = 112639/36 + -45010/9. Let v = 1855 + u. What is the common denominator of v and 3/20*15/(-14)?
56
Let s = -8038 - -530611/66. Let b = -5833/330 + 53/3. What is the common denominator of s and b?
330
Let j(o) = -3*o**2 - 27*o + 4. Let g = 88 + -97. Let z be j(g). Calculate the least common multiple of 15/10 + 22/z and 10.
70
Let h(g) = g**3 + 20*g**2 - 3*g - 26. Let u be h(-20). Suppose -2*s + u = 98. Find the common denominator of s/80 - 814/40 and -71/2.
4
Suppose -58*c + 56*c + 510 = 100*c. Suppose -2*i = -3*g - 144, -4*i + 144 = -2*i + 2*g. What is the smallest common multiple of i and c?
360
Let a = 1490 + -1295. Calculate the least common multiple of 30 and a.
390
Suppose 32 - 6 = -2*k - 4*u, 2*k + 16 = -2*u. Find the common denominator of -43/9 and (-472)/96 - 2*k/2.
36
Let o = -21949/40 - -548. What is the common denominator of o and (-15)/(10 + (-42)/7)?
40
Let j = -5376221/19470 + 6075/22. What is the common denominator of j and 163/30?
1770
Let g = -18 - -34. Let q(v) = 32*v + 306. Calculate the lowest common multiple of q(-9) and g.
144
Calculate the common denominator of -43/272 and (-180)/14144*550/125.
3536
Let s = 54 - 43. Suppose 1 = 2*p + 3. What is the lowest common multiple of p/(-4) - s/(-4) and 10?
30
Let z = 27/2 - 48. Suppose -2*h + 99 = h + 3*d, -9 = -3*d. What is the common denominator of h/(-12)*(-59)/175 and z?
70
Let s(i) = i**3 + 3*i**2 - 7*i - 4. Let c be s(-4). What is the least common multiple of 5019/28 + 1 + (-2)/c and 60?
180
What is the smallest common multiple of -4 + (-2*3)/((20/(-8))/5) and 946?
3784
Let k(u) = 654*u + 1122. Calculate the lowest common multiple of k(5) and 6.
4392
Let k(x) = -x**3 - 6*x**2 + 5*x. Let v(d) = -6*d - 26. Let h be (18/4)/9*-12. What is the least common multiple of v(h) and k(-7)?
70
Let j = 0 + 3. Suppose -6*x = -2*x - 5*p - 27, -j*x = -4*p - 21. Calculate the smallest common multiple of 16 and x/20*5 + (-109)/(-4).
112
Suppose 49 = 110*i - 103*i. Suppose 8*s - 15 = -i*s. Calculate the least common multiple of 20 and s.
20
Let f = -49/3 - -95/3. Calculate the common denominator of 65/51 and f.
51
Let u(c) = -2*c**3 - 27*c**2 + 57*c - 114. Calculate the smallest common multiple of 70 and u(-16).
8890
Suppose -291*y = -292*y + 150. Find the common denominator of 103/40 and (-15)/10*(-118)/y.
200
Let k = 2955 + -898. What is the common denominator of 87/2 and -2 - 15/(-12) - k/44?
2
Suppose -327726 = -84*c + 453138. Calculate the smallest common multiple of 20 and c.
46480
Calculate the lowest common multiple of 378 and 135/(-10)*(-728)/26.
378
Let h = -14 + -87. Let x = 101 + h. Suppose x = 4*q - m + 5*m - 4, -3*m = 5*q - 15. What is the smallest common multiple of q and 54?
54
What is the smallest common multiple of 189 and 483/63 + 2/(-3)?
189
Calculate the common denominator of (-558)/180 + (4 + (-102)/10 - -5) and -61/2860.
2860
Suppose -5*g - r + 5613 = 0, 59*g - r = 56*g + 3363. Calculate the least common multiple of g and 12.
2244
Let y = 479193 + -240554805/502. Calculate the common denominator of y and 22.
502
Let z(b) = b**3 - 4*b**2 - 19*b + 73. Let f be z(5). Suppose 9*p = -f*v + 11*p + 36, 3*v - 3*p - 33 = 0. What is the lowest common multiple of 14 and v?
14
Let b be -2 - -3 - 894251/21. Let n = b + 11654681/273. Let l = n - 736/7. Find the common denominator of l and -30/11.
143
Let n(j) = 26*j - 6*j - 10*j - 9*j + 7. Let d be n(-4). Suppose d*z - 3*q + 18 = 4*z, -2*q = | {
"pile_set_name": "DM Mathematics"
} |
nominator of 91/20 and 59/80?
80
What is the least common multiple of 90 and 25?
450
Calculate the lowest common multiple of 350 and 20.
700
Calculate the common denominator of 47/1020 and 137/612.
3060
Find the common denominator of 9/35 and 1/1500.
10500
Calculate the common denominator of -109/18 and -91/184.
1656
Calculate the smallest common multiple of 9 and 315.
315
Calculate the least common multiple of 18 and 204.
612
Calculate the lowest common multiple of 182 and 2.
182
Calculate the lowest common multiple of 256 and 80.
1280
Calculate the common denominator of -67/7098 and 40/141.
333606
What is the smallest common multiple of 204 and 238?
1428
What is the common denominator of 37/170 and 9/35?
1190
What is the lowest common multiple of 88 and 352?
352
Calculate the common denominator of 61/210 and 109/42.
210
Find the common denominator of -3/8 and -91/18.
72
What is the smallest common multiple of 2590 and 1554?
7770
Calculate the lowest common multiple of 2028 and 11.
22308
Calculate the least common multiple of 186 and 16.
1488
Calculate the least common multiple of 336 and 336.
336
Find the common denominator of -107/52 and -51/10.
260
What is the common denominator of -69/52 and 1/8?
104
What is the smallest common multiple of 357 and 102?
714
Find the common denominator of -97/24 and -23/2943.
23544
Calculate the smallest common multiple of 13 and 1.
13
What is the least common multiple of 452 and 226?
452
Find the common denominator of 113/96 and 13/2.
96
Find the common denominator of 79/54 and -83/378.
378
Calculate the smallest common multiple of 70 and 196.
980
What is the smallest common multiple of 119 and 7?
119
What is the least common multiple of 2262 and 6786?
6786
Calculate the common denominator of -11/351 and 77/351.
351
Calculate the common denominator of -35/114 and -31/2628.
49932
What is the common denominator of 113/114 and 13/96?
1824
What is the least common multiple of 16 and 34?
272
What is the least common multiple of 12 and 136?
408
What is the common denominator of 37/44 and 37/84?
924
Calculate the common denominator of 67/4074 and -73/6.
4074
What is the common denominator of 85/212 and 43/40?
2120
Calculate the lowest common multiple of 3864 and 112.
7728
Calculate the smallest common multiple of 22 and 984.
10824
What is the least common multiple of 319 and 4060?
44660
Calculate the lowest common multiple of 8998 and 220.
89980
What is the common denominator of -32/109 and 35/9?
981
Calculate the least common multiple of 498 and 747.
1494
Calculate the lowest common multiple of 65 and 255.
3315
What is the common denominator of -59/1160 and -61/1856?
9280
What is the common denominator of -11/135 and -53/135?
135
What is the common denominator of 53/480 and -35/128?
1920
What is the smallest common multiple of 2690 and 50?
13450
What is the lowest common multiple of 588 and 12?
588
Calculate the common denominator of 61/45 and 49/324.
1620
Calculate the least common multiple of 114 and 76.
228
Calculate the lowest common multiple of 8098 and 2.
8098
What is the common denominator of 23/11 and -50/29?
319
Calculate the common denominator of -39/46 and 73/22.
506
Calculate the common denominator of -103/52 and -61/56.
728
Calculate the common denominator of 37/15 and 2/14555.
43665
What is the smallest common multiple of 479 and 10?
4790
Find the common denominator of 107/1254 and -97/6.
1254
Calculate the smallest common multiple of 20 and 12.
60
What is the common denominator of 47/100 and -4/25?
100
Calculate the smallest common multiple of 4565 and 4565.
4565
Calculate the least common multiple of 219 and 24.
1752
What is the least common multiple of 9045 and 24?
72360
What is the common denominator of 77/12 and -31/105?
420
Calculate the common denominator of 77/4 and -31/15.
60
Find the common denominator of 55/48 and 119/228.
912
What is the smallest common multiple of 3567 and 1189?
3567
What is the common denominator of -5/734 and -11/18?
6606
Calculate the common denominator of -151/6 and 4/3135.
6270
What is the smallest common multiple of 195 and 45?
585
Calculate the smallest common multiple of 36 and 3.
36
Calculate the common denominator of 111/10 and -37/3407.
34070
Calculate the common denominator of -53/96 and -89/36.
288
Find the common denominator of -29/45 and -13/1255.
11295
Calculate the least common multiple of 252 and 18.
252
Calculate the common denominator of -5/174 and -14/27.
1566
Find the common denominator of 63/16 and -33/34.
272
What is the common denominator of 47/54 and -61/66?
594
Calculate the smallest common multiple of 2870 and 280.
11480
Calculate the least common multiple of 12 and 4.
12
What is the lowest common multiple of 158 and 6?
474
What is the common denominator of -45/20204 and -67/6?
60612
What is the lowest common multiple of 18 and 4778?
43002
What is the least common multiple of 2100 and 11970?
119700
Calculate the least common multiple of 30 and 460.
1380
Find the common denominator of 49/594 and 43/29.
17226
Find the common denominator of 47/3368 and 45/3368.
3368
What is the lowest common multiple of 2114 and 84?
12684
Find the common denominator of -11/85 and 38/119.
595
What is the least common multiple of 7 and 5827?
40789
What is the least common multiple of 1244 and 8?
2488
Calculate the least common multiple of 804 and 201.
804
Find the common denominator of -133/6 and 50/167.
1002
Calculate the common denominator of 21/104 and 13/82.
4264
Calculate the common denominator of 23/168 and -55/24.
168
What is the common denominator of 115/84 and -143/48?
336
What is the smallest common multiple of 168 and 189?
1512
What is the common denominator of 107/180 and 27/160?
1440
Calculate the lowest common multiple of 63 and 153.
1071
Calculate the common denominator of -39/136 and -101/1870.
7480
Calculate the common denominator of -53/44 and 97/144.
1584
Find the common denominator of -58/4215 and -43/12.
16860
Calculate the least common multiple of 2700 and 2700.
2700
Calculate the common denominator of -23/28 and -59/175.
700
What is the lowest common multiple of 63 and 9?
63
What is the smallest common multiple of 566 and 22?
6226
Calculate the least common multiple of 520 and 520.
520
What is the least common multiple of 18 and 240?
720
Calculate the least common multiple of 12 and 662.
3972
Calculate the smallest common multiple of 352 and 1.
352
What is the lowest common multiple of 1215 and 3600?
97200
Calculate the lowest common multiple of 632 and 40.
3160
What is the common denominator of 29/42 and 173/540?
3780
Find the common denominator of -11/60 and 11/95.
1140
What is the smallest common multiple of 103 and 1442?
1442
What is the least common multiple of 2472 and 18?
7416
Find the common denominator of -125/18 and -27/232.
2088
What is the common denominator of -161/3894 and -85/2478?
27258
Find the common denominator of 89/224 and -57/196.
1568
Calculate the least common multiple of 18 and 3432.
10296
Calculate the least common multiple of 77 and 77.
77
Calculate the common denominator of -43/712 and 5/89.
712
Calculate the common denominator of 55/9 and 41/32.
288
What is the common denominator of 125/12 and -29/50?
300
Calculate the smallest common multiple of 102 and 153.
306
Calculate the lowest common multiple of 3 and 81.
81
Find the common denominator of 19/3613 and 13/7.
25291
Find the common denominator of 49/716 and 46/5.
3580
Find the common denominator of 7/4 and -25/6.
12
Find the common denominator of -149/240 and -89/112.
1680
What is the least common multiple of 1404 and 117?
1404
What is the least common multiple of 5478 and 88?
21912
Calculate the common denominator of -44/699 and -181/30.
6990
Find the common denominator of 11/119 and 36/7.
119
Calculate the smallest common multiple of 196 and 2058.
4116
Calculate the lowest common multiple of 24 and 147.
1176
What is the smallest common multiple of 28 and 84?
84
Find the common denominator of 31/2020 and 3/2222.
22220
Find the common denominator of -11/27 and 22/51.
459
What is the smallest common multiple of 20 and 4?
20
What is the lowest common multiple of 44 and 20?
220
Calculate the lowest common multiple of 4 and 88.
88
Calculate the common denomi | {
"pile_set_name": "DM Mathematics"
} |
2. Let s = m + -6. Calculate the common denominator of -145/6 and 20/50 + 22/s.
30
Let q = 8367 + -2068. Let a = q - 125937/20. What is the common denominator of -59/138 and a?
1380
Suppose 20 = -0*o - 4*o - 4*g, -3*o = -5*g + 23. What is the common denominator of -79/18 and (-26)/(-32) - o*(-5)/10?
144
Calculate the lowest common multiple of (2/(-7 + 1))/(2/(-48)) and 72.
72
Let h = 1576/9 - 7141/36. Calculate the common denominator of h and -2/81.
324
Suppose -4*k = 5*l - 15, -5*l - 2*k - 9 = -24. What is the lowest common multiple of l and 99?
99
Suppose 5*v + 3*b = 35, b + 1 - 2 = v. Suppose v*u + 9 = 5*z + 21, 5*z = -4*u + 52. Calculate the lowest common multiple of 6 and u.
24
Let s = -3158195/68 + 46445. Calculate the common denominator of -13*6/(-144)*-22 and s.
204
Suppose -113 + 23 = -5*o. Calculate the smallest common multiple of 14 and (-88)/(-6) + (-12)/o.
14
Let t be (-3)/(15/(-125)) + (-6)/(-2). Suppose 4*a = -2*c + t, 0*c - 3*c + 44 = 5*a. Calculate the least common multiple of c and 6.
18
Let k = 115 + -109. Calculate the lowest common multiple of 34 and k.
102
Let o(k) = -k**2 + 2*k + 4. Let t be o(0). Suppose -5*n + 19 = 4*j + t, 4*n - 53 = 5*j. Suppose 4*m - 31 = -n. Calculate the lowest common multiple of 8 and m.
24
Let g be 6/5*(-100)/(-30). Let y be 11/g + 12/(-16). Suppose n - 4*i = 32 - 8, 30 = 2*n - y*i. Calculate the lowest common multiple of n and 34.
204
Let y = -1 - -30. Let o = -290 - -340. Let b = y - o. Find the common denominator of 63/4 and b.
4
Let k(u) = -u**2 + 5*u + 1. Let p be k(4). Suppose -3*g = -p - 10. Suppose -b + 11 = i, -b + g + 9 = 4*i. What is the least common multiple of 2 and b?
10
Let c = 3 + 17. Calculate the smallest common multiple of c and 40.
40
Calculate the common denominator of 143/5577*318/(-32) and 89/78.
624
What is the common denominator of (20/(-44)*-14)/(-6) and 67/72?
792
Let q = 39/223 - 16184/2007. Calculate the common denominator of q and 47/17.
153
Let z = 49 + -45. Suppose 0*v + 2*v = -5*i + 24, -z*v = 12. Calculate the smallest common multiple of (3/9)/((-1)/(-3)) and i.
6
Let v = 1317/88 - 57/22. What is the common denominator of v and ((-2)/(-36))/(4/(-202))?
72
Suppose -11 = c - 14. Calculate the least common multiple of 42 and c.
42
Let c(j) be the third derivative of -j**5/30 - 5*j**4/24 + 7*j**3/6 - 2*j**2. Let d be c(10). Calculate the common denominator of 4 - d/(-12) - 0 and -91/16.
16
Let l(s) = s - 2. Let b be l(9). Suppose -5*t - 4*w = -608, -4*t + 511 = -b*w + 2*w. Calculate the least common multiple of 6 and t.
372
Find the common denominator of 76/33 and ((-18)/(-3132))/(1/76).
957
Let t = 19 + -3. Suppose -2*p + 4*l + 6 = -t, l + 2 = 0. Calculate the lowest common multiple of 4 and p.
28
Let r = -1387 + 6969/5. Calculate the common denominator of 4/(-108)*-3*-55 and r.
45
Calculate the common denominator of 7/5 + 10602/(-1980) and -48/55.
110
Let b = 9751 - 146353/15. Let z = 1/295 + 389/118. Find the common denominator of z and b.
30
Let f = -56587/10836 + 510/301. What is the common denominator of 11/104 and f?
936
Suppose 5*y - 3*i = 111, -111*y + 107*y = -2*i - 90. Let g = -25 - -37. What is the smallest common multiple of y and g?
24
Suppose -101*y - 324 = -110*y. What is the lowest common multiple of 6 and y?
36
Let h(w) = -w + 1. Let v(p) = 12*p - 7. Let q(d) = -22*h(d) - 2*v(d). Let r be q(-8). What is the least common multiple of (r/(-10))/(4/(-20)) and 22?
44
Let h = -188 + 191. What is the smallest common multiple of 4 and h?
12
Let q = -9/74 + -2253/185. Let a = 8581 - 51631/6. Find the common denominator of a and q.
30
Let f = 48 - 46. Suppose -4*m + 39 = 5*l, f*m - l - 63 = -26. Calculate the least common multiple of 10 and m.
80
Calculate the common denominator of (-102)/18*(-18)/(-128) and 3/2.
64
Let g(z) = -2*z**2 - 26*z - 37. Calculate the lowest common multiple of g(-11) and 2.
14
Let s = -790 - -823. What is the least common multiple of s and 72?
792
Let l = 22018 - 616417/28. Find the common denominator of -40/21 and l.
84
Let d(y) = y**3 - 2*y**2 + 8*y - 7. What is the least common multiple of 10 and d(2)?
90
Let w = -55 - -107. Let i = -40 + w. Calculate the least common multiple of i and 74.
444
Let q = 104/107 + -12667/2354. Suppose -2*y = 3*u + 38, -3*u = -4*y + 20 - 6. What is the common denominator of q and (2/u)/((-8)/(-364))?
110
Suppose -o - 6 = -0*o - 3*w, -3*o - 2*w + 37 = 0. What is the least common multiple of 10 and o?
90
Let f(v) = -3*v**2 + 17*v. Let l be f(7). Calculate the smallest common multiple of (4 + 30/(-8))/((-1)/l) and 4.
28
Let n be 2 + (-15740)/16 + 2. Let y = n - -973. What is the common denominator of y and 0 - 0 - (-104)/72?
36
Calculate the common denominator of 3/(-27) + (2 - 1) and (7/(-420)*-5)/((-10)/(-536)).
45
Let g = 13 + -27. What is the common denominator of 123/10 and ((-5)/60 - 0)*284/g?
210
Suppose -5*z + 169 = 19. What is the common denominator of -32/7 and (-1)/(-2) + (z/28)/1?
7
Let k(o) = 13*o + 27. Let n be k(-5). Find the common denominator of n/8*15/54*-3 and 43/21.
168
Let n = 4 - -1. Suppose 0 = -n*s - 3*o - 17, -4*s = 6*o - 3*o + 13. What is the common denominator of 79/10 and (570/(-16))/(33/s)?
110
Let z = 5645/36 - 157. Calculate the common denominator of -9/8 and z.
72
Suppose 3*u + g - 93 = 0, -3*g = -1478*u + 1475*u + 81. Calculate the least common multiple of u and (-2)/7 + (-128)/(-7).
90
Suppose 12*q - 2*q = 5*y + 75, 0 = q - 2*y - 3. What is the least common multiple of 5 and q?
45
Suppose 0 = 1297*x - 1296*x - 6. Let a(b) = -3*b**3 - 2*b**2 - 2*b - 1. Let l be a(-1). Suppose -l*z + 10 = 2. What is the smallest common multiple of x and z?
12
Let y(l) = -7 + 3*l**2 - 12*l**2 + 10*l**2. Calculate the smallest common multiple of y(-3) and (1 + 1)/2*22.
22
What is the least common multiple of ((-7120)/12)/(-10) + (-6)/(-9) and 36?
180
Let k(n) = n**3 - 7*n**2 - 6*n - 11. Let c be k(8). Let f be c*12*6/(-20). Find the common denominator of 53/8 and -3 - (-165)/f - 0.
24
Let o = 96/5 - 823/40. What is the common denominator of o and -3 - (-4)/((-64)/712)?
8
Let m = 1/1640 + 8149/83640. What is the common denominator of 8/3 and m?
51
What is the lowest common multiple of 25 and (0 - 1)*(-10 - 13 - 2)?
25
Suppose 42 = -q - 6*q. Let w = q + 11. What is the lowest common multiple of 1 and w?
5
Let y be (6 - 5 - -3) + -155. Let t = -129 - y. Calculate the smallest common multiple of t and 4.
44
Let m = 813 - 618. What is the least common multiple of m and 75?
975
Let i(u) be the first derivative of u**2/2 - u + 20. Calculate the lowest common multiple of i(2) and 3.
3
Find the common denominator of (-74)/(-200)*(-35)/(-14) and -42/95.
760
Suppose 0 = y - 4*y, -2*t + 3*y + 8 = 0. Suppose -34 = -3*n + t*x, 5*n + 10 - 61 = x. What is the smallest common multiple of n and 4?
20
Let f(z) = 15*z**3 + 2*z - 1. Let b = -1069/100 + -3/50. Find the common denominator of b and f(1).
4
Suppose 2*u + s = -3 + 42, -5*u + 4*s = -104. Let z = 10273/32976 + 2/2061. Find the common denominator of z and 1 + (-2 - 94/u).
80
Suppose 29*d + 182 = 1806. What is the lowest common multiple of d and 14?
56
Suppose 2*i + 75 = 3*w, 3*i = -2*i - w - 213. Calculate the common denominator of 1*(-303)/i + -2 and (-3 + 2)*(-7)/18.
126
Calculate the common denominator of 2*65/(-26) - 3518/(-728) and -56/9.
3276
Suppose 0 = -216*q + 212*q + 56. Calculate the least common multiple of q and 196.
196
Let t = 41 + -5. Let b(c) = -2*c + 5. Let a(s) = s - 1. Let v(n) = -a(n) - b(n). What is the smallest common multiple of t and v(12)?
72
Suppose 1105 = 5*v + 5*c, 9*c - 3 = 6*c. What is the least common multiple of v and 495?
1980
Let w = -7465837/205 + 36419. Calculate the common denominator of w and 26/5.
205
Let v(g) = g**3 - 12*g**2 + 10*g + 5. Let b be v(11). Let r(x) = x**3 + 8*x**2 + 8*x - 4. Let j = 61 - 39. Calculate the smallest common multiple of r(b) and j.
220
Let b(w) = 5*w**2 - 17*w + 56. What is the least common multiple of 4 and b(6)?
268
Let z(g) = -7*g - 12. Let x = -48 - -68. What is the least common multiple of x and z(-2)?
20
Let k(i) = 2*i**2 + 2*i**3 - 10*i**3 - 3*i**2. What is the lowest common multiple of 6/(-1)*2*132/(-176) and k(-1)?
63
Let t(h) be the first derivative of h**4/4 + 19*h**3/ | {
"pile_set_name": "DM Mathematics"
} |
-20*u**2. Calculate k(r(i)).
-80*i**2
Let d(h) = -26*h. Let x(l) = -2*l. Determine x(d(y)).
52*y
Let u(w) = 2*w**2. Let f be ((-12)/(-3) - 2)/1 - 2. Let d(c) be the second derivative of -1/6*c**3 + f + 0*c**2 - c. Give u(d(z)).
2*z**2
Let g(n) = -40*n**2 - 43*n**2 + 82*n**2. Let b(v) = -2*v. What is g(b(r))?
-4*r**2
Let n(m) be the third derivative of -m**5/30 + 15*m**2. Let l(d) = -d + 4 + 3 - 5. Let s(v) = -3*v + 5. Let c(p) = 10*l(p) - 4*s(p). Calculate c(n(z)).
-4*z**2
Suppose 2*u - 7 = 3. Suppose s + 4*m - m + 3 = 0, -u*s = -3*m - 21. Let b(g) = -5*g + s*g + g. Let y(c) = c. Give b(y(j)).
-j
Let t(u) = 3*u**2. Let h(z) = 3*z**2 + 1. What is t(h(b))?
27*b**4 + 18*b**2 + 3
Let h(r) = 2*r. Let j(v) = 5*v**2 - 1984*v. What is j(h(w))?
20*w**2 - 3968*w
Let n(j) = 133 - 3*j - 133. Let l(i) be the first derivative of -i**5/120 - i**3/3 - 1. Let s(o) be the third derivative of l(o). Calculate s(n(a)).
3*a
Let p(c) = -7*c - 2*c - c + 7*c. Let f(x) = 3*x**2. Calculate p(f(t)).
-9*t**2
Let o(q) = 18*q**2 + 4. Let w(g) = -35*g**2 - 7. Let s(i) = 7*o(i) + 4*w(i). Let v(u) = -u - u + u + 0. Determine v(s(f)).
14*f**2
Let k(q) = 254*q. Let t(c) = -18*c. Give t(k(y)).
-4572*y
Let q(r) = -21*r. Let z(y) = 434*y - y**2 - 434*y. Determine q(z(v)).
21*v**2
Let n(s) = s**2 - 6*s**2 + 2*s**2. Let q(j) be the second derivative of j**4/6 + 3*j. What is n(q(c))?
-12*c**4
Let n(i) = 5*i**2. Let q(d) be the third derivative of d**5/30 + d**2. Determine q(n(z)).
50*z**4
Let s(p) be the third derivative of p**5/30 - 38*p**2. Let i(w) = -w. Give i(s(b)).
-2*b**2
Let y(n) = 127 - 63 - 64 + n**2. Let l(p) = 8*p. Determine l(y(m)).
8*m**2
Let u(h) = h**2 - 1. Let z(o) = 8*o**2 - 4. Let m(k) = -4*u(k) + z(k). Let q(l) = 136*l**2 - 68*l**2 - 70*l**2. Calculate m(q(d)).
16*d**4
Let p(y) = 105*y**2 - 25*y + 25. Let u(w) = -13*w**2 + 0*w**2 - 2 - 5 + 4 + 3*w. Let n(g) = -3*p(g) - 25*u(g). Let i(j) = j. Calculate n(i(l)).
10*l**2
Let z(p) be the first derivative of 5*p**3/3 + 10. Let o(l) = l**2. Determine z(o(r)).
5*r**4
Let m(n) be the third derivative of n**6/360 - n**3/2 - n**2. Let c(t) be the first derivative of m(t). Let d(o) = -2*o**2. Determine c(d(y)).
4*y**4
Let o(r) be the first derivative of -r**2 + 1. Let x = 2 + -2. Let n(p) = p + 0*p + x*p. Calculate n(o(y)).
-2*y
Let u(g) = -9*g**2. Let p(x) = -22*x**2. Determine u(p(d)).
-4356*d**4
Let h(x) = -19*x**2. Let o(w) = 22*w. Determine h(o(n)).
-9196*n**2
Let d(z) be the first derivative of 11*z**2/2 - 1. Let s(c) = 2*c. Determine d(s(j)).
22*j
Let p(z) = -32*z. Let l(k) = -k**2 + 44. Calculate l(p(x)).
-1024*x**2 + 44
Let q(n) be the third derivative of n**6/360 + n**3/6 + n**2. Let b(s) be the first derivative of q(s). Let t(c) = c**2. What is b(t(a))?
a**4
Let s(w) = -2*w. Suppose 5*m - 28 + 8 = -5*z, -5*z = -3*m - 4. Let n(p) = -p + p**2 - p + z*p. Determine n(s(q)).
4*q**2
Let i(s) = 6*s. Let v(t) be the third derivative of 0 + 0*t**3 + 0*t + 1/24*t**4 - 2*t**2. Calculate v(i(a)).
6*a
Let x(d) = 15*d**2. Let t(m) = -1183*m**2. Give t(x(g)).
-266175*g**4
Let g(s) = 28*s - 7. Let i(y) = -2*y**2. What is i(g(c))?
-1568*c**2 + 784*c - 98
Let s(y) = -3*y**2. Let a be 1/(-2) - (-84)/24. Let z(l) be the third derivative of 0*l - 1/12*l**4 + 0 + 0*l**a - 2*l**2. What is z(s(r))?
6*r**2
Let s(d) = 3*d. Let y = 451/1860 - 7/31. Let c(z) be the third derivative of 0 - y*z**5 + 0*z + 0*z**4 + 0*z**3 + 2*z**2. Give s(c(v)).
-3*v**2
Let a(h) = -6106*h - 172. Let o(y) = -177*y - 5. Let t(i) = 5*a(i) - 172*o(i). Let n(d) = d**2. Determine n(t(k)).
7396*k**2
Let q(i) = 43*i. Let m(h) = -4*h**2. Calculate m(q(l)).
-7396*l**2
Let t(i) = -5*i. Let x(v) = 5 - 3*v - 13 + 8. Give t(x(a)).
15*a
Let m(u) = u. Let d(o) = -o - 757. Determine m(d(h)).
-h - 757
Suppose 0*c = 2*c + 6. Let m(j) = 5*j**2 + 3. Let p(l) = 11*l**2 + 7. Let f(r) = c*p(r) + 7*m(r). Let a(b) = 2*b. Determine a(f(y)).
4*y**2
Let c(m) = -m**2 + 84*m - 84*m. Let w(p) = 9*p**2 + 5*p - 5. Let f(g) = -10*g**2 - 6*g + 6. Let b(z) = -5*f(z) - 6*w(z). Calculate c(b(o)).
-16*o**4
Let p(u) = -3*u**2. Let k(h) be the second derivative of h**3/3 - 7*h. Calculate p(k(c)).
-12*c**2
Let s(f) = -2*f**2. Let r(u) be the first derivative of -1/3*u**3 + 0*u**2 + 0*u - 3. Give r(s(w)).
-4*w**4
Let b(s) = 6*s + 11. Let h(c) = 2*c + 4. Let g(n) = n**3 + 6*n**2 + 2*n + 8. Let z be g(-6). Let a(y) = z*b(y) + 11*h(y). Let u(p) = 4*p. Determine a(u(q)).
-8*q
Let z(c) = 2*c. Let g(h) = 4*h - 2. Let y(n) = 5*n - 3. Let o(u) = -3*g(u) + 2*y(u). Calculate z(o(b)).
-4*b
Let c(n) = 8*n**2 + 14. Let a(y) = 3*y**2 + 5. Let s(f) = 14*a(f) - 5*c(f). Let u(v) = -11*v. Calculate s(u(x)).
242*x**2
Let j(s) = -1 + 1 + 2*s**2. Let i be 46/11 - (-6)/(-33). Let b(w) = 4 + 3*w - i. What is j(b(c))?
18*c**2
Let y(c) = -2*c**2 + 4 - 4. Let f(n) = 2*n**2 + 2. Let t(l) = -1. Let w(z) = -f(z) - 2*t(z). Calculate w(y(o)).
-8*o**4
Suppose 0*y + 4*y - 8 = 0. Suppose -o = l - 1 - y, -o + 4*l = 2. Let a(q) = -3*q**o - 2*q**2 + 4*q**2. Let h(z) = 2*z. Determine h(a(r)).
-2*r**2
Let d(r) be the second derivative of r**4/12 + r. Let x(w) = -5*w - 12*w - 11*w + 24*w. Determine d(x(q)).
16*q**2
Let b(p) = 2*p**2. Suppose 3*v = 6*v - 6. Let t(g) = 3*g**v - g**2 - 5*g**2. Give b(t(c)).
18*c**4
Let p(g) be the third derivative of g**5/10 - g**2. Let f(m) = m. Calculate f(p(x)).
6*x**2
Let h(c) = -c**2. Let u(m) = 7*m**2 + 3*m - 3. Suppose 3*x = -12, x + 3*x + 19 = z. Let i(q) = q**2 + q - 1. Let n(s) = z*i(s) - u(s). Give h(n(j)).
-16*j**4
Let i(z) be the first derivative of -7*z**2/2 - 6. Let u(j) = -2*j. Determine i(u(q)).
14*q
Let k(g) = 2. Let r(m) = -2. Let i(y) = 2*k(y) + 3*r(y). Let d(c) = -c - 1. Let w(h) = 2*d(h) - i(h). Let q(u) = -u - 3*u + u. Calculate q(w(j)).
6*j
Let w(n) = n**2. Let k(b) = -b + 7*b - 7*b. Give w(k(p)).
p**2
Let l(o) = 4*o. Let t(w) = 5994*w. What is l(t(p))?
23976*p
Let v(x) = -2*x**2. Let w(c) = -c**2 + 7*c + 3. Suppose -4*p + 30 = s, -5*p + 3*s + 1 = -28. Let b be w(p). Let q(r) = 2 - b*r - 2. Determine v(q(l)).
-18*l**2
Let x(t) = 87*t + 39. Let a(m) = -m. What is x(a(k))?
-87*k + 39
Let r(f) = -228*f**2 + 111*f**2 + 114*f**2. Let c(s) = 3*s - 3*s + s. What is c(r(t))?
-3*t**2
Let x(p) = 0*p + p - 3*p. Let q(v) be the second derivative of -v**6/120 + v**3/3 - 2*v. Let b(l) be the second derivative of q(l). Calculate b(x(i)).
-12*i**2
Let r(a) = 31*a - 2. Let y(i) = -2*i**2. What is y(r(t))?
-1922*t**2 + 248*t - 8
Let v(h) = 2*h. Let m(g) be the first derivative of 4*g**2 - 5*g + 17. Give v(m(z)).
16*z - 10
Let t(r) = r**2. Let x(g) = -4*g**2. Let p(j) = -3*t(j) - x(j). Let f(b) = b**2 + 1. Let v(n) = 14*n**2 + 21. Let l(h) = 21*f(h) - v(h). Calculate p(l(a)).
49*a**4
Let n(x) = -6*x**2 + 3*x. Let b(f) = 5*f**2 - 2*f. Let a(i) = 3*b(i) + 2*n(i). Let t be (-12)/(-9)*6/4. Let s(j) = j**t + 2*j**2 - j**2. Calculate a(s(k)).
12*k**4
Let r(s) = -2*s**2. Let k(y) = -534*y. Determine r(k(l)).
-570312*l**2
Let v(i) = -2*i. Let u(p) = -p. Let x(b) = -4*u(b) + v(b). Let s(c) = 8*c - 4*c + 2*c. What is x(s(f))?
12*f
Let m(t) = 2*t**2. Let l = -4 + 10. Let n(v) = -2*v - l*v + 4*v. Give m(n(i)).
32*i**2
Let w(c) = -c**2. Let t(h) = h**2 + 2*h. Let q(n) = 3*n**2 + 7*n. Let j(a) = 2*q(a) - 7*t(a). Calculate w(j(z)).
-z**4
Let j(n) = -n**2. Let a(w) = 27 - 12 + 3*w - 15. Give j(a(p)).
-9*p**2
Let j(d) be the third derivative of d**5/30 + 3*d**2. Let c(p) = p**2 + 2*p. Let o(q) = q**2 + 3*q. Let x(r) = -3*c(r) + 2*o(r). What is x(j(n))?
-4*n**4
Let r(d) = 2*d - 4 - 2 + 6. Let v(z) = 8*z. Calculate v(r(y)).
16*y
Let s(d) = -2*d**2. Let l(q) = -q**2 + q. Let x(t) = -9*t**2 + 2*t. Let g(p) = -2*l(p) + x(p). Let w(a) = -8*a**2. Let c(y) = 6*g(y) - 5*w(y). What is c(s(m))?
-8*m**4
Let d(o) = -2*o**2. Let z(x) = 44*x**2 - 11. Give z(d(n)).
176*n**4 - 11
Let q(k) be the second derivative of -k**4/12 - 8*k. Let g(s) be the third derivative of -1/12*s**4 - 3*s**2 + 0*s**3 + 0*s + 0. Give q(g(h)).
-4*h**2
Let w(l) = -3*l. Let m(v) be the third derivative of v**4/12 + 7*v**2. What is w(m(u))?
-6*u
Let m(a) = 6*a + 11*a - a + 0*a. Let s(l) = -2*l. What is s(m(b))?
-32*b
Let q(k) = -40*k. Let h(a) = -3*a**2. Give q(h(r)).
120*r**2
Let z(h) = h**3 - 3*h**2 - 3*h - 1. Let i be z(4). Let k = 5 - i. Let q(y) = -4*y + 13*y | {
"pile_set_name": "DM Mathematics"
} |
= 1/20 + -51/220. Which is the second biggest value? (a) r (b) x (c) -0.4
b
Let v be ((-1)/7)/(5/10). What is the second smallest value in v, 5, 1/2, -5?
v
Let s = 20/157 - 4777/36267. Let f = s + -197/231. Which is the biggest value? (a) f (b) 0 (c) 0.4
c
Let m = -0.18 - 6.82. Let j = 26.8 + -34. Let p = j - m. Which is the biggest value? (a) 0.5 (b) 0.4 (c) p
a
Let h = -8 - -11. Let w = 4 - h. Which is the biggest value? (a) -0.5 (b) w (c) -1/10
b
Let f = -7 + 8. Which is the second smallest value? (a) 4 (b) f (c) -5
b
Let h = -92.1 - -93. Which is the second smallest value? (a) 1 (b) h (c) 2/3
b
Let j = 95 - 84. What is the third smallest value in 3/4, 1/6, j, -4/5?
3/4
Let q = 2.6 - 1.6. Let u = -11 - -7. Which is the third biggest value? (a) u (b) 3 (c) q
a
Let c = 3.99 + 0.01. Let k = -2.0197 - -0.0197. What is the third smallest value in c, -5/6, k?
c
Let g = -77 - -233/3. What is the smallest value in g, 3, 1/4?
1/4
Let h = -6 + 8. Let y = -33 - -31.3. Let s = y + h. What is the third biggest value in 1, s, 2?
s
Let j = -18 + 17.6. Let u = 0.35 + -0.05. Which is the second smallest value? (a) 2 (b) j (c) u
c
Let k(j) be the second derivative of -j**5/20 + j**4/2 + j**3 + 4*j**2 + 2*j. Let g be k(7). What is the third biggest value in -3, g, -0.4?
-3
Let w(z) = -z**2 - 2*z - 1. Let y be w(-3). Let h = 0.07 - 0.37. Which is the biggest value? (a) -1 (b) y (c) h
c
Suppose d = 4*q - 7, -3 = 5*q + 3*d + 1. What is the second smallest value in q, 2, -8, -3?
-3
Let j = -0.1 - 0.7. Let d = 10.8 + -14. Let m = j + d. What is the smallest value in m, 0, 3/2?
m
Let z(u) = -3*u + 3. Let d be z(2). Let o = -4 + 6. Let p = o + -3. Which is the smallest value? (a) p (b) d (c) 2
b
Let x = 10.11 - 10. Let n = -2.89 - x. Let s = 1 - 0.8. What is the biggest value in -0.4, s, n?
s
Suppose -f + 3*f = 5*k + 10, -5*f - 3*k - 37 = 0. Let c be (-6 - -2)*f/(-6). Let s = c - -55/12. What is the biggest value in 3, -3/8, s?
3
Let n = -4 - -8. Let s = 0.031 - 0.031. What is the third smallest value in n, s, -2/13?
n
Let o = -3291/13 - -253. Let d = 1237/7 - 177. Which is the second biggest value? (a) o (b) -0.1 (c) d
a
Let n be 68/(-144) + 6/27. Let o = 7/12 + n. Which is the third smallest value? (a) o (b) -0.4 (c) -2/11
a
Let f be 4*(9/4)/9*-5. Which is the second biggest value? (a) f (b) -0.2 (c) -0.1 (d) 5
c
Suppose 2*v + 0*v = 2*z - 4, 0 = -3*z - v + 6. Suppose z*y - 5 = 5. What is the third smallest value in -1/6, -3, y?
y
Suppose 0*f - f - 2*j - 4 = 0, 5*f + j = 16. Suppose f*l + 13 = -h, 4*l = l + 4*h - 5. What is the second biggest value in l, -4, 2/11?
l
Let y be 3 - 1 - 7/4. Let n = 1/34 - 19/68. Which is the third biggest value? (a) n (b) 3 (c) y
a
Let l = 1072/9 + -119. What is the third biggest value in 1/5, -2/9, l, -0.4?
-2/9
Let c = -6 + 11. Let y = c - 5.2. Let d = 0 + y. What is the second biggest value in d, 5, -3?
d
Let r = -30 + 27. Which is the biggest value? (a) -2 (b) 3/5 (c) 2/19 (d) r
b
Suppose -4*w + w = 0. Let p be (4 - w)*(-3)/18. Let v = 0.015 + 4.985. Which is the smallest value? (a) -0.1 (b) p (c) v
b
Let s = -109 + 106.83. Let x = s + 0.17. What is the smallest value in 2/7, x, -2/11?
x
Let n = 3 - 7. What is the biggest value in -1/3, 0.5, n?
0.5
Suppose 5*z - 15 = -4*n, -5*z = -5*n + n + 65. What is the second biggest value in n, 3, 2/9?
3
Let z be -1 + 1 - 4/16. Let h = 80/399 + -2/21. Which is the third smallest value? (a) 0.4 (b) z (c) h
a
Let t = 13 - 0. Let o be (-2)/11 + t/11. Which is the second biggest value? (a) o (b) -3 (c) -0.3
c
Let a = 21.2 + -18. Let c = 0.06 - -0.74. Let q = c + a. What is the second biggest value in q, -2/5, -0.3?
-0.3
Let l be 6/60 - (-63)/(-30). Which is the third biggest value? (a) l (b) -5 (c) 4 (d) 1
a
Let w = 7 - 6. Let l = w + 1. Let a(x) = 2*x + 9. Let n be a(-6). What is the third smallest value in n, l, 5?
5
Let i be (-10)/(-4)*18/(-30). Let n = 3.2 + -3. Which is the third biggest value? (a) n (b) i (c) -1/2
b
Let f = 0.34 + 0.06. Let x = 0.3 + 0.2. Let u = f - x. Which is the third biggest value? (a) 2 (b) u (c) 4
b
Let m be 10/8*1/(-5). Let k = -36 + 3. Let h = k - -34. Which is the second biggest value? (a) h (b) m (c) -5
b
Let f = 5.61 - 6.01. Let g(l) = -l**2 - 5*l + 5. Let v be g(-6). Let d be 1*(v/9 - 0). What is the third biggest value in f, -6/5, d?
-6/5
Suppose p + 0 = 1. What is the second biggest value in p, -2, 0?
0
Let z = 189 - 184.05. Let d = z + 0.05. Which is the third smallest value? (a) d (b) 0.2 (c) 1
a
Let n = 22 + -25.6. Let k = n + 0.6. Let c = -0.3 - 0.2. What is the second smallest value in -2/7, c, k?
c
Suppose 2*i + 7 = -5. Let p = i + 7. What is the biggest value in 3, p, 4?
4
Let h = 1.3 - 1.14. Let y = 0.04 + h. What is the third smallest value in -1, -4/3, y?
y
Let w = 29.3 + -29. Which is the biggest value? (a) -0.3 (b) w (c) 4
c
Let q be 4/(-3)*((-5)/2 + 1). Which is the biggest value? (a) -0.02 (b) q (c) -0.5
b
Suppose 0 = 11*a - 3*a - 8. What is the third smallest value in a, 6/7, -1/4, -2/7?
6/7
Let s = 11 - 13. Let f = -6.9 - -7. What is the biggest value in -1, f, s?
f
Let g = -1378.82 - -1367. Let v = g + 9.9. Let u = v - 0.08. Which is the second biggest value? (a) 4 (b) -2/3 (c) u
b
Let x be (8/6)/((-1)/3). Let l be -2 + (-33)/(-21) + 1. Let z = 2.06 + -0.06. Which is the second smallest value? (a) z (b) x (c) l
c
Let k(n) = n**2 - 5*n - 9. Let l be k(-7). Let x = -827/11 + l. Which is the second smallest value? (a) 1 (b) -0.5 (c) x
c
Let f = 2 - 1. Let k = 1 + f. Let o = 2 + -1.5. Which is the biggest value? (a) o (b) k (c) -0.3
b
Suppose -n = 2 - 0. Let s = 3.5 + -3. Which is the second smallest value? (a) n (b) 0.4 (c) s
b
Let n be -2 + (-66)/4*1/(-6). Which is the biggest value? (a) -0.4 (b) n (c) -0.5 (d) 3/8
b
Let z = 2 - 2.5. Let n = 1 + -2. Let h = n + 5. What is the second smallest value in h, z, -0.4?
-0.4
Let c = -17.1 + 13.1. What is the third smallest value in -7/4, c, -0.1, -3?
-7/4
Let s = 0.01 - -1.99. Let r = s - 1.9. Let u = -13/8 - -33/40. Which is the third smallest value? (a) u (b) -0.3 (c) r
c
Let o = -11 - -12. What is the second biggest value in -0.5, 3, -4, o?
o
Let x = -327/44 - -90/11. Which is the fourth smallest value? (a) -1/4 (b) -5 (c) 0.5 (d) x
d
Let o = -0.36 + 0.06. Let z be (-33)/(-6) + -3 + -2. Which is the smallest value? (a) 2 (b) o (c) z
b
Let l = -3 + 2.8. Let p = 5 - 5.1. Which is the second biggest value? (a) p (b) l (c) 4
a
Let f = -0.4 + 0.1. Let t be (-4 + (3 - 0))*0 + -16. What is the second smallest value in 2, f, t?
f
Let w = -6.231 + 0.031. Let q = -6 - w. Let m = -7 + 2. What is the third smallest value in m, q, 0.5?
0.5
Let u = -59/10 - -42/5. Let f(b) = b**2 - 9*b - 4. Let r be f(7). Let k be (-30)/r*2/(-10). What is the third smallest value in k, -0.1, u?
u
Let l = -5.3 - -5.1. Let t = 1 + 0. Let v = -2 + t. What is the third biggest value in v, 0.1, l?
v
Let v = 26 - 21. Let z = -4.5 + 4. Which is the third biggest value? (a) z (b) v (c) -5
c
Let f = 0.09 + 0.41. Let m be (-4)/(-6) + 16/12. What is the third biggest value in 1, m, f?
f
Let j(r) = r**3 + 2*r**2 + r. Let o be j(-3). Let z be (2 - o/(-8))*2. Which is the biggest value? (a) 5 (b) 0.5 (c) z
a
Let o = 1 + -1.03. Let k = o - 0.37. Let w = k - -0.2. What is the smallest value in 0.2, -3/2, w?
-3/2
Let l = 17.2 - 3.4. Let f = 14 - l. Which is the third biggest value? (a) -2 (b) f (c) -4
c
Let l = -53574/59 + 908. Let h = 75/472 + l. Let k be -2 + 1 + -3 - -2. What is the second smallest value in -1/4, k, h?
-1/4
Let r = 13/60 - -9/20. Let z = -1.54 - -1.74. Which is the second biggest value? (a) r (b) z (c) -4
b
Let a = 3.1 + -3.09. What is the second biggest value in a, -4, -5?
-4
Suppose -5*t + 2*g + 37 = 0, 0 = -g - 3*g - 4. Let r be (-2)/(-7) - 5/t. Let j = -0.1 + -0.4. What is the third biggest value in j, r, -0.2?
j
Let h(o) = -o**3 + 10*o**2 + 10*o + 10. Let z be h(11). Which is the second smallest value? (a) 3 (b) -0.3 (c) z
b
Let b = -12.94 + -0.06. Let j = 13.4 + b. What is the second smallest value in j, -2/13, 6?
j
Let s be (-4)/(-10)*(-110)/(-198). Which is the second biggest value? (a) -0. | {
"pile_set_name": "DM Mathematics"
} |
divisor of 35 and 91.
7
What is the greatest common factor of 16 and 1?
1
What is the greatest common divisor of 190 and 20?
10
What is the greatest common divisor of 36 and 126?
18
Calculate the highest common divisor of 3498 and 66.
66
What is the greatest common factor of 44 and 5654?
22
Calculate the greatest common factor of 1225 and 75.
25
What is the greatest common divisor of 550 and 88?
22
Calculate the highest common divisor of 1078 and 112.
14
What is the greatest common divisor of 128 and 24704?
128
Calculate the highest common factor of 1278 and 12.
6
Calculate the highest common factor of 35 and 5495.
35
What is the highest common divisor of 2 and 577?
1
Calculate the highest common divisor of 70 and 1390.
10
What is the greatest common factor of 5548 and 876?
292
What is the highest common factor of 55 and 880?
55
What is the greatest common divisor of 338 and 2?
2
Calculate the highest common factor of 24 and 600.
24
What is the highest common factor of 4033 and 763?
109
Calculate the greatest common divisor of 222 and 51837.
111
Calculate the highest common divisor of 114 and 798.
114
Calculate the highest common divisor of 51 and 5712.
51
What is the highest common divisor of 964 and 12?
4
Calculate the highest common divisor of 448 and 616.
56
Calculate the highest common factor of 999 and 189.
27
What is the greatest common factor of 1854 and 12?
6
What is the greatest common divisor of 238 and 742?
14
Calculate the greatest common factor of 402 and 138.
6
Calculate the greatest common divisor of 135 and 108.
27
Calculate the highest common divisor of 60 and 24.
12
Calculate the highest common factor of 201 and 9447.
201
Calculate the highest common divisor of 102 and 34.
34
What is the greatest common factor of 36 and 1756?
4
Calculate the greatest common divisor of 1500 and 744.
12
What is the highest common factor of 738 and 36?
18
What is the highest common divisor of 2691 and 741?
39
What is the highest common factor of 104 and 152?
8
Calculate the greatest common divisor of 725 and 975.
25
What is the greatest common factor of 416 and 128?
32
What is the highest common factor of 536 and 8?
8
Calculate the greatest common factor of 320 and 16.
16
Calculate the greatest common divisor of 12 and 3552.
12
What is the highest common divisor of 26 and 2028?
26
Calculate the greatest common divisor of 342 and 306.
18
What is the highest common divisor of 324 and 405?
81
What is the highest common divisor of 89 and 89?
89
Calculate the greatest common factor of 945 and 4275.
45
Calculate the highest common divisor of 342 and 19.
19
What is the highest common divisor of 5 and 405?
5
What is the greatest common factor of 1156 and 1666?
34
What is the greatest common factor of 10 and 2390?
10
Calculate the highest common divisor of 7885 and 19.
19
What is the greatest common divisor of 256 and 272?
16
Calculate the highest common divisor of 162 and 234.
18
What is the highest common divisor of 160 and 3920?
80
Calculate the greatest common divisor of 189 and 216.
27
What is the highest common divisor of 247 and 104?
13
What is the highest common divisor of 3164 and 28?
28
What is the greatest common divisor of 10854 and 9?
9
Calculate the greatest common factor of 108 and 1356.
12
What is the greatest common divisor of 75 and 5800?
25
What is the greatest common factor of 15 and 807?
3
What is the highest common factor of 100 and 80?
20
What is the greatest common divisor of 57 and 57?
57
Calculate the highest common divisor of 6 and 114.
6
What is the greatest common divisor of 1107 and 1599?
123
Calculate the highest common divisor of 4994 and 22.
22
Calculate the greatest common divisor of 2230 and 10.
10
What is the highest common factor of 1687 and 14?
7
What is the highest common factor of 310 and 2759?
31
Calculate the greatest common factor of 1156 and 4.
4
Calculate the greatest common divisor of 63 and 567.
63
Calculate the greatest common factor of 465 and 195.
15
What is the highest common factor of 846 and 54?
18
Calculate the highest common factor of 605 and 165.
55
Calculate the greatest common divisor of 272 and 2754.
34
What is the highest common divisor of 42 and 98?
14
What is the greatest common factor of 374 and 17?
17
What is the highest common factor of 55 and 506?
11
Calculate the greatest common divisor of 28 and 23492.
28
What is the greatest common divisor of 1962 and 4?
2
What is the greatest common factor of 44 and 1760?
44
What is the greatest common factor of 2779 and 21?
7
Calculate the highest common factor of 1240 and 2108.
124
Calculate the highest common divisor of 75 and 240.
15
Calculate the greatest common factor of 72 and 120.
24
What is the greatest common divisor of 32 and 92?
4
What is the highest common factor of 14 and 4298?
14
What is the greatest common factor of 840 and 56?
56
Calculate the highest common divisor of 147 and 343.
49
What is the greatest common divisor of 12034 and 154?
22
What is the highest common factor of 94 and 15322?
94
Calculate the highest common divisor of 64 and 1424.
16
What is the highest common divisor of 9 and 72?
9
Calculate the highest common factor of 686 and 8.
2
Calculate the greatest common factor of 170 and 3145.
85
What is the greatest common factor of 68 and 374?
34
What is the greatest common divisor of 6298 and 940?
94
What is the greatest common factor of 414 and 2277?
207
What is the highest common factor of 176 and 128?
16
Calculate the greatest common factor of 1508 and 65.
13
Calculate the highest common factor of 1320 and 48.
24
Calculate the highest common divisor of 216 and 162.
54
What is the greatest common factor of 80 and 190?
10
Calculate the highest common divisor of 50 and 330.
10
Calculate the greatest common factor of 114 and 6.
6
Calculate the highest common factor of 625 and 25.
25
What is the highest common divisor of 316 and 8?
4
What is the highest common divisor of 165 and 132?
33
What is the greatest common divisor of 52271 and 313?
313
What is the greatest common divisor of 56 and 40?
8
Calculate the highest common factor of 48 and 132.
12
Calculate the highest common factor of 10 and 5165.
5
What is the greatest common factor of 684 and 532?
76
What is the greatest common factor of 77 and 539?
77
What is the highest common factor of 330 and 3036?
66
What is the highest common factor of 1157 and 13?
13
What is the highest common divisor of 36 and 153?
9
Calculate the greatest common factor of 17 and 68.
17
Calculate the highest common divisor of 476 and 588.
28
Calculate the greatest common factor of 12 and 132.
12
Calculate the highest common factor of 3179 and 33.
11
What is the greatest common factor of 50 and 20?
10
What is the greatest common divisor of 135 and 1755?
135
What is the highest common divisor of 575 and 25?
25
Calculate the greatest common factor of 559 and 39.
13
What is the greatest common factor of 12 and 7116?
12
Calculate the greatest common divisor of 14041 and 19.
19
What is the highest common divisor of 234 and 108?
18
What is the highest common divisor of 136 and 3434?
34
What is the highest common factor of 535 and 50?
5
Calculate the greatest common divisor of 32315 and 115.
115
What is the greatest common factor of 208 and 13?
13
Calculate the greatest common factor of 535 and 107.
107
What is the highest common divisor of 2702 and 238?
14
What is the highest common divisor of 20 and 32?
4
What is the highest common divisor of 29 and 1?
1
What is the highest common divisor of 1600 and 200?
200
What is the greatest common divisor of 12 and 456?
12
Calculate the greatest common divisor of 22 and 99.
11
What is the highest common factor of 17 and 799?
17
What is the greatest common factor of 100 and 950?
50
Calculate the greatest common divisor of 15 and 60.
15
What is the greatest common divisor of 175 and 420?
35
What is the greatest common factor of 132 and 1353?
33
Calculate the greatest common divisor of 28 and 350.
14
Calculate the highest common divisor of 25 and 45.
5
What is the greatest common factor of 3360 and 42?
42
What is the greatest common divisor of 50 and 8950?
50
Calculate the highest common divisor of 59 and 177.
59
Calculate the highest common factor of 50 and 625. | {
"pile_set_name": "DM Mathematics"
} |
t d(q) = -3*c(q) + 10*h(q). Factor d(x).
-5*(x - 3)*(x - 1)**2*(x + 1)
Let j = 393/3208 - -1/401. Factor 0 + 1/8*u - j*u**3 + 1/4*u**4 - 1/4*u**2.
u*(u - 1)*(u + 1)*(2*u - 1)/8
Let b(i) be the first derivative of -1 + 1/42*i**4 + 0*i**3 - 1/7*i**2 + i. Let l(m) be the first derivative of b(m). Factor l(c).
2*(c - 1)*(c + 1)/7
Let t(j) be the second derivative of 0*j**2 + 1/3*j**4 + 2/3*j**3 - 67/20*j**5 - 13/3*j**6 - 5*j - 3/2*j**7 + 0. Determine k, given that t(k) = 0.
-1, -2/7, 0, 2/9
Factor 27/5*i + 3 + 12/5*i**2.
3*(i + 1)*(4*i + 5)/5
Let i(n) be the third derivative of n**8/168 - n**6/60 - 3*n**2. Suppose i(x) = 0. Calculate x.
-1, 0, 1
Let m = 9 - 9. Let q = 5 + m. Find z, given that z - 3*z**2 - z**q + 4*z**5 + 9*z**3 - z - 9*z**4 = 0.
0, 1
Let x(j) be the third derivative of 0 + 1/210*j**5 - 4*j**2 + 1/84*j**4 + 0*j + 0*j**3. Factor x(g).
2*g*(g + 1)/7
Let a(x) be the second derivative of x**5/30 - x**4/12 + 2*x**2 + x. Let u(k) be the first derivative of a(k). Factor u(i).
2*i*(i - 1)
Let h(q) = 1. Let x(f) = -f**2 - 4*f**2 + 4*f + 12 + 9*f**2 - 4. Let o(d) = -8*h(d) + x(d). Factor o(c).
4*c*(c + 1)
Let r(f) = 76*f**3 - 77*f**2 + 16*f + 3. Let n(q) = -75*q**3 + 78*q**2 - 15*q - 4. Let h(w) = 5*n(w) + 6*r(w). Factor h(c).
(3*c - 1)**2*(9*c - 2)
Let g = -24 - -28. Let m(v) be the first derivative of -2/35*v**5 + 1/7*v**g + 0*v**2 + 0*v - 2/21*v**3 - 2. Solve m(t) = 0 for t.
0, 1
Determine l, given that -14*l + 5*l + 5*l + 20*l**2 = 0.
0, 1/5
Let r(q) be the first derivative of -1/4*q**2 + 1/2*q**3 + 0*q + 5/8*q**4 - 1/3*q**6 - 9 - 3/10*q**5. Determine d so that r(d) = 0.
-1, 0, 1/4, 1
Suppose 4/9*r + 0 - 2/9*r**2 = 0. What is r?
0, 2
Suppose -15*s = -0*s. Factor 1/3*w**4 + 0*w + 0*w**3 + s + 0*w**2.
w**4/3
Suppose 4*d = -2*p - 2, -p + 9 + 0 = -3*d. Let 21/2*k**4 + 9/2*k**5 + 0 + 8*k**p + 2*k**2 + 0*k = 0. What is k?
-1, -2/3, 0
Let b(x) = -x**2 - x + 14. Let m be b(0). Suppose 5*o = 1 + m. Factor q**2 - q**o + 2 - 4 + q + 1.
-(q - 1)**2*(q + 1)
Suppose 20/3*l - 5 - 5/3*l**2 = 0. What is l?
1, 3
Let t = 4 + 1. Suppose 4*a - 18 = -t*l, -a = -4*l + a + 4. Determine f so that -44*f**3 + f**l - f**2 + f**4 + 43*f**3 = 0.
0, 1
Let l be ((-1032)/(-56))/3 - (-6)/(-1). Factor -l*g**2 - 1/7*g**3 + 1/7*g + 0 + 1/7*g**4.
g*(g - 1)**2*(g + 1)/7
Let s(j) be the third derivative of -j**6/360 + j**5/60 - 4*j**3/3 + 8*j**2. Let l(m) be the first derivative of s(m). Solve l(r) = 0.
0, 2
Let s = 52/21 - 8/7. Find t, given that -s*t**2 - 2/3*t**3 - 2/3*t + 0 = 0.
-1, 0
Let y(r) be the second derivative of -r**7/336 - r**6/120 + r**5/80 + r**4/24 - r**3/48 - r**2/8 - 10*r. Solve y(b) = 0 for b.
-2, -1, 1
Let q = -5 - -7. Suppose 3*j - 5*o = 21, -3*j - 4*o = o + 9. Let -3*w**j + w**2 + w**q = 0. What is w?
0
Let a = -2 + 6. Let p(y) = 3*y**4 + 1 - 4*y**3 + 2*y - 2*y**a + 2*y. Let r(j) = -2*j**4 + 9*j**3 - 9*j - 3. Let m(l) = 5*p(l) + 2*r(l). Factor m(x).
(x - 1)**3*(x + 1)
Factor -2/9*g**4 + 0*g**2 - 8/9*g + 0 + 2/3*g**3.
-2*g*(g - 2)**2*(g + 1)/9
Let l(o) = -o**2 - o. Let q be l(-1). Suppose -3*w + 8 + 1 = q. Find g, given that g**2 - 2*g - 3*g + g**2 + w*g = 0.
0, 1
Let t(o) = -5 + 2*o - 1 + 3 + o**2. Let i be -1 + -2 + 3 - -2. Let l(n) = -5*n**2 - 11*n + 16. Let v(j) = i*l(j) + 11*t(j). Solve v(w) = 0 for w.
-1, 1
Let j(c) be the second derivative of c**6/40 + 3*c**5/40 - c**4/4 - c**3/4 + 9*c**2/8 + 30*c. Suppose j(x) = 0. What is x?
-3, -1, 1
Let d(p) be the second derivative of p**7/720 + p**6/288 - p**5/120 - p**4/6 - 7*p. Let y(a) be the third derivative of d(a). Determine n, given that y(n) = 0.
-1, 2/7
Let p(z) be the third derivative of z**6/120 + z**5/20 - z**4/24 + z**3/2 + 3*z**2. Let l(t) = -2*t**2 - 2. Let r(v) = -3*l(v) - 2*p(v). Factor r(k).
-2*k*(k - 1)*(k + 1)
Let g(p) be the first derivative of 5*p**4/4 + 5*p**3/3 - 5*p**2/2 - 5*p - 25. Suppose g(z) = 0. What is z?
-1, 1
Suppose -4*j = 4*u - 8, -2 = -j + 4*u - 10. Factor 0*r**2 + 1/4*r**5 + 0 - 1/8*r**4 - 1/8*r**3 + j*r.
r**3*(r - 1)*(2*r + 1)/8
Suppose -8 = j - 3*c, 2*j = 5*j + 3*c - 24. Let k = j - 2. Factor -k*u - 1/2*u**2 - 2.
-(u + 2)**2/2
Let p = 12/17 + -43/85. Find b such that -2/5*b + p*b**2 + 1/5 = 0.
1
Suppose 5*l - 7 - 3 = 0. Suppose 3*x + l = 11. What is z in 4/3*z**2 + 0 + 2/3*z + 2/3*z**x = 0?
-1, 0
Let a(q) be the first derivative of q**6/480 - q**4/96 - 3*q**2/2 - 3. Let f(v) be the second derivative of a(v). Solve f(t) = 0.
-1, 0, 1
Let k + 0 + 1/2*k**3 + 3/2*k**2 = 0. What is k?
-2, -1, 0
Let q = -5 + 7. Find y such that 7*y + 3*y**q - 6*y**3 - 13*y**2 + 8 + y = 0.
-2, -2/3, 1
Let b(h) be the first derivative of -h**7/49 - 2*h**6/105 + 3*h**5/70 + h**4/21 - 5*h + 7. Let g(l) be the first derivative of b(l). Let g(d) = 0. Calculate d.
-1, -2/3, 0, 1
Suppose -4*h = g + h - 9, -h = -1. Let m(u) be the second derivative of 0 + 1/18*u**g + u - 1/3*u**2 + 0*u**3. Find w, given that m(w) = 0.
-1, 1
Let c(h) = h**3 - 5*h**2 + 6*h - 11. Let i(t) = 1. Let u(g) = c(g) + 5*i(g). Let k be u(4). What is w in 1/5 + 1/5*w**3 + 3/5*w**k + 3/5*w = 0?
-1
Suppose 4*p = -0*p + 20. Factor -6*a**4 + 6*a**2 + a**5 - 3*a + 5*a**5 - 3*a**p.
3*a*(a - 1)**3*(a + 1)
Let i(s) be the second derivative of s**6/75 - s**5/50 - s**4/10 + s**3/15 + 2*s**2/5 - 18*s. Factor i(o).
2*(o - 2)*(o - 1)*(o + 1)**2/5
Let a be (3 + 5)*1/2. Let m be (-2 + (-2)/a)*-2. Let -s**2 - 5 - s**3 + 3 - 3*s**2 - m*s = 0. Calculate s.
-2, -1
Let m(g) be the second derivative of 0*g**2 + 0 + 4/15*g**6 - 1/21*g**7 - 1/3*g**3 - 3*g + 2/3*g**4 - 3/5*g**5. Find l, given that m(l) = 0.
0, 1
Suppose -m - 4 + 1 = -a, 4*a = 20. Factor -14*z**3 + 10*z**2 - 2*z - 3*z**2 + z + 0*z**m + 8*z**4.
z*(z - 1)*(2*z - 1)*(4*z - 1)
Let b(h) be the second derivative of 0*h**4 - 2*h - 1/300*h**5 + 1/30*h**3 + 0 + h**2. Let v(m) be the first derivative of b(m). Solve v(n) = 0.
-1, 1
Let c(f) be the first derivative of -f**7/350 + 3*f**5/100 - f**4/20 - f**2/2 + 8. Let k(j) be the second derivative of c(j). Factor k(a).
-3*a*(a - 1)**2*(a + 2)/5
Suppose c + 15 = 2*p, -2*c - 4*p + 10 = -0*p. Let n(h) = h**3 + 6*h**2 + 5*h + 2. Let s be n(c). Factor -3*m**2 - 2*m - m**2 + s*m**5 + 0*m**4 + 4*m**4.
2*m*(m - 1)*(m + 1)**3
Let k(v) = v**2 + 4*v + 9. Let a(m) = -45 + m**2 - 7*m**2 + m**2 - 19*m. Let n(w) = 6*a(w) + 33*k(w). Factor n(r).
3*(r + 3)**2
Let a(c) be the second derivative of c**7/42 - c**6/10 + c**5/10 + c**4/6 - c**3/2 + c**2/2 - 16*c. Factor a(r).
(r - 1)**4*(r + 1)
Suppose t - 3 = -9. Let i = t + 9. Solve -6*z**3 + 3*z + 6*z**4 + 6*z**2 - i*z - 4*z**2 - 2*z**5 = 0.
0, 1
Let m be (-1)/(-3) - 2/6. Let v(k) = k**3 - k + 2. Let j be v(m). Suppose n**2 - n**4 + j*n**2 + n**3 - 3*n**2 = 0. Calculate n.
0, 1
Let y(c) be the first derivative of -c**5/40 + c**4/24 + c**3/12 - c**2/4 - 4*c + 1. Let f(d) be the first derivative of y(d). Factor f(p).
-(p - 1)**2*(p + 1)/2
Let g(u) be the second derivative of 0*u**3 + 0 - 6*u + 1/6*u**4 + 1/10*u**5 + 0*u**2. Let g(d) = 0. What is d?
-1, 0
Let s(c) be the first derivative of c**4/8 - c**3/6 - c**2/2 - 4. Factor s(l).
l*(l - 2)*(l + 1)/2
Let v(d) be the first derivative of -4/15*d**3 + 0*d**4 - 1/5*d**2 + 4/25*d**5 + 1/15*d**6 + 1 + 0*d. Factor v(b).
2*b*(b - 1)*(b + 1)**3/5
Let v(y) = y**3 - y**2 + 1. Let z(d) be the second derivative of d**7/14 - 7*d**5/20 + d**4/12 + d**3/2 - d**2/2 - 9*d. Let i(g) = v(g) + z(g). Factor i(n).
3*n*(n - 1)**2*(n + 1)**2
Suppose 0 = -3*v - 12, -p - v + 6 = -6*p. Let s be -3 + (35/p)/(-5). Find g, given that -1/4*g + 1/4*g**4 - 1/4*g**5 - 1/2*g**2 + 1/4 + s*g**3 = 0.
-1, 1
Solve -23/6*i - 2/3 + i**2 = 0 for i.
-1/6, 4
Let d(b) be the second derivative of 0 - 1/20*b**5 + 0*b**2 - 1/12*b**4 + 1/42*b**7 + 0*b**3 + 9*b + 1/30*b**6. Factor d(i).
i**2*(i - 1)*(i + 1)**2
Let t(z) be the third derivative of -1/6*z**4 + 0*z + 0 + 2*z**2 - 1/3*z**3 + 1/180*z**6 + 1/60*z**5. Let y(p) be the first derivative of t(p). Factor y(v).
2*(v - 1)*(v + 2)
Let a = 13 - -9. What is y in 18*y**3 + 2*y**2 + 2*y**2 - a*y**4 - 6*y**2 + 8*y**5 - 2*y = 0?
-1/4, 0, 1
Factor 14*r + 3*r**2 + r**2 - 6*r + 4.
4*(r + 1)**2
Let c(m) be the first derivative of m**3/6 - 7*m**2/4 - 4*m + 30. Find f, given that c(f) = 0.
-1, 8
Let b = -2 + 2. Let c = 82 - 80. Solve -2/5*f + 6/5*f**c + b + 2/5*f**4 - 6/5*f**3 | {
"pile_set_name": "DM Mathematics"
} |
- a = 2. Suppose y + g = -21. Are y and -22 unequal?
False
Suppose -2*u - 2*u - 20 = -4*i, -2*i = -10. Let m = 1 + u. Let n = -133/11 - -12. Is n at most as big as m?
True
Suppose 0 = 7*u - 77 - 42. Let x = -17 + u. Is x less than -4?
False
Suppose 10*w - 2 = -12. Is -2/23 at most w?
False
Let b be (-19518)/(-1053) + 2/(-27). Which is bigger: 19 or b?
19
Let r be 12/(-2) + 6468/630. Which is smaller: 4 or r?
4
Suppose -2*b = 3*s + 35, -3*s + b - 2*b = 34. Let f = s + 12. Let d be (-8)/3*(-4 + f). Is 6 greater than d?
False
Let z(d) = 4*d + 11. Let j be z(8). Let q = j + -31. Suppose 0 = -3*o - 0 - q. Which is greater: o or -5?
o
Let u = 477.36 + -477. Which is greater: -15 or u?
u
Let r = 131 - 131. Let t = -551 - -12671/23. Which is greater: r or t?
r
Let t(c) = 4*c**2 + c + 1. Let j(f) = -7*f**2 - 3*f - 1. Let q(w) = 6*j(w) + 11*t(w). Let b be q(2). Let h be (-300)/(-148) + 2*-1. Which is bigger: b or h?
h
Let m be 318/1855*(-14)/(-382). Is 0 > m?
False
Let k = -180.5 + 178.398. Which is smaller: k or -1/3?
k
Let q be (-5 - (-312)/42) + 1. Is q greater than or equal to 4?
False
Let h = -152 + 157. Suppose -j - 18 = -h*a, 5*a - 8*a = 4*j + 3. Is 4 not equal to a?
True
Let t = -10 + 9. Let y = -566 - -14146/25. Which is smaller: y or t?
t
Let o(j) = j**3 + 2*j**2 - j - 1. Suppose -13 = -2*g + 1. Suppose -c - 2*k + g*k = 27, 4*c + 3*k - 7 = 0. Let a be o(c). Which is greater: 0 or a?
a
Let x = 2/179 + 171/716. Which is bigger: -77 or x?
x
Let b = 18 - 37. Let z = 17 - 4. Suppose -15 + z = 2*v. Is b at least v?
False
Let p = -30 - -32. Let l be (-2 - (-6)/p) + 53/(-47). Which is smaller: -1 or l?
-1
Suppose 24 = 4*b - 4*v, b + 4*v = -0*v - 4. Suppose 151 = -3*y - b*l, 0 = -3*y + 2*l - 228 + 47. Is y < -57?
False
Let n = 4 + -9. Let b be (-4)/16 - n/4. Let t be ((-6)/(-3) - 2)*b. Is 0 at most t?
True
Suppose 0 = 3*v - 2*u - 58, 0*v = 3*v - 5*u - 55. Let l be (v/8 - 3)*4. Which is smaller: l or -15/8?
l
Let n be (-273)/(-126)*(40/18)/(-5). Which is smaller: -0.2 or n?
n
Let s = 59 + -106. Let u = -28 - s. Let p = u - 19.1. Which is smaller: p or 18?
p
Let c be ((9/(-2))/(-3))/((-18)/(-24)). Let m be (6/12)/((-2)/8*c). Let v be (-232)/(-530) + (-4)/10. Is m <= v?
True
Suppose 0 = -15*y + 7*y + 40. Let p be y - (1 - -5) - 5. Suppose -2*k + j + 12 = -5*k, 3*k + 2*j + 15 = 0. Is k greater than or equal to p?
True
Let z be 5 + 8 + 7 - 22/(-121). Which is bigger: z or 19?
z
Let i be 1/(-2)*12/1086. Which is greater: i or -1?
i
Let r(z) = -5*z**2 + 2*z + 19. Let f be r(-4). Let u be f/(-46)*1/3*16. Which is bigger: 7 or u?
u
Let q = 292 - 292. Is 0.26 at most q?
False
Let h(d) = -d - 6. Let v be h(-9). Suppose 0 = -18*m + 15*m - v. Let k be 0 + -9*2/14. Which is bigger: k or m?
m
Let l(c) = c**3 - 7*c**2 + 3*c + 7. Let y be l(6). Let t be 8/6*(y - -14). Which is greater: 30/11 or t?
t
Let m be 0 + 1 + (2 - 5). Let a be (-27)/360 - m/10. Let v(y) = -y - 3. Let h be v(-3). Is h at least as big as a?
False
Let s = 440/7 + -4798/77. Let f be 11 + 1 + 2 + 0. Suppose -5*h - 2*x = -f, 2*h = -0*h - 2*x + 8. Which is greater: h or s?
h
Let h = 1.61 - -0.29. Let q = h + 0.1. Which is greater: q or -5?
q
Let q be 10*((-8)/(-10) + 0). Suppose 6*s - 4 = q. Let x be 28/(-12) + s + 1. Is x equal to -6?
False
Let b = -147 - -387. Let w = -153 + b. Let u = 517/6 - w. Which is smaller: -1 or u?
-1
Suppose -2*f - 2*f + 4 = 0. Suppose 0 = -5*a - 10, i + 2*a - f = 3*a. Let o be 1/1 + i - 1. Which is greater: -2/7 or o?
-2/7
Let i be 208/728*714/4. Which is bigger: 0.13 or i?
i
Let z(l) = 4*l**2 - l - 5. Let s be z(6). Let b = s - 6119/46. Which is smaller: 1 or b?
b
Let s be ((-8)/20)/(16/(-40)) + -715. Is -715 >= s?
False
Let h be 2/(-13) - (-4)/26. Let c = 23 + -23. Is c at most h?
True
Let r = -74 + 667/9. Let m = 1109 - 1109. Which is greater: r or m?
r
Let a = 381 - 430. Which is bigger: -243/5 or a?
-243/5
Let j = -76 + 60. Which is smaller: -19 or j?
-19
Suppose g + v - 15 = 0, -6*g + 4*v + 76 = -2*g. Let y = 67 - 50. Do g and y have the same value?
True
Let r = -0.7 + 0.4. Let k = r - 2.7. Let d be (3/12)/(5/(-4)). Is d equal to k?
False
Let d = 198 + -217. Is d at least as big as -20?
True
Let o be (7 - 184/28) + 5481/(-784). Are -7 and o equal?
False
Let k = -3.14 + 2.94. Which is smaller: k or 7.2?
k
Let z = -6/6413 + -43541/1442925. Is z > -1?
True
Let g = -6567221057182/188700476962305 + -2/2678312071. Let z = 5606 - 7181288/1281. Let i = z + g. Does 1 = i?
False
Let v = 1.7 - 2. Let s be (21/(-12) + 9/12)*15. Let z(g) = -g - 17. Let n be z(s). Which is smaller: n or v?
n
Suppose 8*v - 7*v + 2 = 5*z, -z - 4*v + 13 = 0. Is z > 25/29?
True
Let z = 4814 + -4848.63. Let w = 0.37 - z. Which is greater: w or -1?
w
Let h = 175 - 217. Is h less than or equal to -1?
True
Let r = -288.342 - -288. Let s = r - -0.042. Is 0 at least as big as s?
True
Let p = 35.77 - 0.77. Let g = -21 + p. Which is smaller: g or 0?
0
Let d = 43/28 + -9/7. Which is smaller: -128 or d?
-128
Let u = -1259 - -1178. Which is smaller: u or -244/3?
-244/3
Let l = -0.11 - -0.16. Let r = -13.05 + l. Let j = 12.9 + r. Which is bigger: 1/2 or j?
1/2
Let t = -0.8 + -7.2. Let k = t + -15. Let g = -22.9 - k. Which is greater: 0.4 or g?
0.4
Let y = -339 + 576. Is y equal to -1?
False
Let r(o) = o**3 + 8*o**2 + 7*o + 2. Let j be r(-7). Let l be 1 + -6 - (-6)/2. Let w = 4 + l. Is j less than w?
False
Let a be (-4)/12 + 50/15. Suppose 4*q = -4*x - 24, a*q + 23 = x + x. Is -7 at least q?
True
Let o = -1282/33291 - -20/243. Is 1 equal to o?
False
Let p = -123/22 + 19/2. Which is smaller: 4 or p?
p
Let z be 77/1089 + 3/27. Do z and -4/41 have the same value?
False
Let x = -2/2409 - 4013/2409. Which is smaller: x or 0.51?
x
Let q = 9 + 4. Let r = -25.1 + 12.4. Let i = r + q. Are -2/11 and i equal?
False
Let t(y) = y**2 - 6*y + 9. Let f be t(6). Suppose -108 = 8*v - 180. Is f at least v?
True
Let o be 10/55 + (-2 - (-62)/22). Let t = 36 + -72. Let u be 24/t + 82/114. Which is bigger: u or o?
o
Let k(n) = 3 - 3 + 4*n. Let f be k(-2). Suppose 0 = -4*w + w - b - 20, 5*b = 6*w + 47. Is f less than or equal to w?
True
Let j be 5*(-1 - 3/5). Let u(c) = c**2 + 20*c + 20. Let g be u(-19). Suppose g = h + 8. Which is greater: h or j?
h
Suppose 0 = -5*f - 3*b + 31, 4*f = b - 4*b + 26. Suppose -4*j + 14 = 5*g, -f*g + 0*j = j - 26. Is g < 7?
True
Let h be (-1)/2 + (-28)/(-8). Suppose -z + 6 = h. Suppose 2*n - 10 = 3*m + 2*m, -z*m - 3*n - 27 = 0. Which is smaller: -3 or m?
m
Suppose 0 = -4*x - 2*b - 12, x = b + 2*b + 11. Let f be 0/x*(2 + 3/(-2)). Which is greater: f or -3/20?
f
Let j = 1 - -1. Suppose 18 = -j*z - z. Let h be (-2)/z + 2/6. Are 1 and h equal?
False
Let u be 2*((-282)/(-142) - 2). Let l(g) = -g - 5. Let w be l(-5). Is u > w?
False
Suppose 10 = -4*h - j, -247 = 3*j - 253. Which is bigger: h or -79/26?
h
Let n be 5 + -2 + -2 + 0. Let x = 1825 + -129577/71. Is x smaller than n?
True
Let f be (-45 + 47)*(-45)/(-2). Which is greater: 43 or f?
f
Suppose 4*n - 10 - 2 = 0. Suppose -3*t - n = 21. Let v be 2/t + 135/(-36). Is v >= -4?
True
Let c = -1799 - -1804. Let l = -3.7 - -4. Is l <= c?
True
Let b = 2.36 - -5.24. Is 1 > b?
False
Let s = -3/83 + 1586/249. Is 7 != s?
True
Suppose -4*v = 18 + 70. Let h be v/(-8) - (-3)/12. Suppose 0 = -4*x - o + 17, 3*x + 4*o - 14 = 15. Is x bigger than h?
False
Let a(j) = 6*j**2 + 38*j + 159. Let z be a(-5). Which is bigger: z or 123?
123
Suppose -2*s + 12 = 3*h + s, 5*h = 5*s - 10. Let i = -157 - -6125/39. Is h less than i?
False
Let j(y) = -y**2 - 3*y + 10. Let h be j(7). Let g be 35/h + (-1)/4. Is -1 greater than g?
False
Let h = 851 - 537. Which is smaller: 627/2 or h?
627/2
Suppose -5 = -2*y - 3. Suppose -a + 4 = 3*a. Let f be 3/1*5/3 - a. Is y <= f?
True
Let o(p) = -p**2 + 7*p - 5. Let n be o(0). Are n and -43/7 non-equal?
True
Let t = 94 + -56. Let b = t + -37.9. Which is smaller: b or -0.7?
-0.7
Let o = -206 - -205. Are o and -72/5 nonequal?
True
Let w = -889 + 977. Is w greater than -3?
True
Let r = 25 - 29. Let l be r + (-5)/((-4)/4). Which is bigger: l or -1/16?
l
Let h = -3 - -57. Suppose a - h = -2*a. Which is greater: a or 56/3?
56/3
Suppose x + 10 = 2*s - 2*x, -17 = 5*s + 3*x. Let h(z) = -2*z**2 + 1. Let q be h(s). Let c be (14/63)/(11/(-3)*-1). Is q >= c?
False
Let | {
"pile_set_name": "DM Mathematics"
} |
22/219
What is 7379805 divided by 1319?
5595
What is -1363611699 divided by -3?
454537233
What is -3 divided by -1568205?
1/522735
What is 27485 divided by -264?
-27485/264
Divide -38 by -1254877.
38/1254877
-45523212 divided by -641172
71
Divide 13562200 by -1.
-13562200
What is 4 divided by -3023463?
-4/3023463
Divide -104128112 by -1892.
55036
What is 15216 divided by 4243?
15216/4243
-42959 divided by 347
-42959/347
What is 750 divided by -21820?
-75/2182
What is -54 divided by 3601?
-54/3601
What is 22943970 divided by 6454?
3555
What is 607070832 divided by -151767708?
-4
Divide 12159714 by -4053238.
-3
Calculate 68471 divided by 3.
68471/3
-39279708 divided by 351
-111908
Divide 1 by 26007150.
1/26007150
What is -3091284 divided by -32886?
94
Divide 6995703 by -23.
-304161
-4367882964 divided by 6
-727980494
Calculate 17159732 divided by 67558.
254
Divide -23889 by 909.
-7963/303
-47675943 divided by -17
47675943/17
What is 20820 divided by 163?
20820/163
What is -898571 divided by 3?
-898571/3
255575232 divided by 120384
2123
Divide 19204 by -3306.
-9602/1653
57997755 divided by -5
-11599551
What is -3286800 divided by 15?
-219120
Calculate -44477 divided by -15284.
44477/15284
Calculate -4 divided by -10975453.
4/10975453
Calculate 7 divided by -6242739.
-7/6242739
Divide 9449160 by 6.
1574860
Calculate 8074700 divided by 2018675.
4
What is 10355210 divided by 609130?
17
What is -17629016 divided by -2?
8814508
-780076 divided by -877
780076/877
What is -10841716 divided by 2710429?
-4
What is 677739680 divided by -249169?
-2720
Calculate 20208942 divided by -3.
-6736314
Divide 7550532 by 6.
1258422
-16961490 divided by 2470
-6867
4 divided by -52915
-4/52915
What is -15408765 divided by -6543?
2355
Calculate 1234 divided by -14765.
-1234/14765
What is -6 divided by -1878594?
1/313099
Calculate 272688309 divided by -4671.
-58379
36 divided by 1225076
9/306269
-5456198 divided by -2
2728099
Divide 1214 by 22264.
607/11132
Divide 115535 by -16505.
-7
Divide 77861 by 172.
77861/172
What is -135315054 divided by 22552509?
-6
Divide -5058452 by 17.
-297556
-28247657 divided by -23
1228159
16 divided by 207425
16/207425
-138962 divided by 7
-138962/7
Divide 141 by 13744.
141/13744
Divide -43 by -365806.
43/365806
Divide -45307563 by -15102521.
3
Calculate 268802094 divided by -134401047.
-2
What is 92352 divided by -226?
-46176/113
205 divided by -9758
-5/238
Divide -8459000 by -275.
30760
-4541 divided by 2798
-4541/2798
Calculate -5909102 divided by -2.
2954551
-7176440 divided by -897055
8
Calculate 7885350 divided by -66.
-119475
Divide 22588060 by 110.
205346
-126235 divided by 85
-25247/17
Divide -6 by 10124932.
-3/5062466
What is 4 divided by -105688?
-1/26422
Calculate -39996279 divided by -39996279.
1
-481794 divided by 6
-80299
-312 divided by -187418
156/93709
Divide -62258705 by -231445.
269
18416 divided by 1592
2302/199
What is -5 divided by -136901030?
1/27380206
What is 8165 divided by 11717?
8165/11717
3 divided by -453390
-1/151130
66865 divided by -6206
-66865/6206
-55000272 divided by 1145839
-48
What is 1327976103 divided by 109?
12183267
What is -44 divided by -2972957?
44/2972957
What is -293869356 divided by 6?
-48978226
Divide -84771829 by 4.
-84771829/4
Divide 9510 by 5.
1902
What is 311672449 divided by -311672449?
-1
What is 0 divided by 26506854?
0
Calculate 0 divided by 2055321.
0
Calculate -294 divided by -1007025.
98/335675
-184989795 divided by -5
36997959
Calculate -22164675 divided by -3175.
6981
Divide 1 by 42464804.
1/42464804
Divide -39032595 by 21.
-1858695
Calculate -2365772 divided by 27.
-2365772/27
Divide -294 by -45882.
49/7647
0 divided by -12114323
0
What is -13797970 divided by 2759594?
-5
What is 65123157 divided by 1973429?
33
Calculate 77606555 divided by 15521311.
5
What is 4190 divided by -111086?
-2095/55543
What is -35168123 divided by -3?
35168123/3
12305865 divided by -1118715
-11
Divide -216537516 by 616916.
-351
Divide -592854 by 8.
-296427/4
Divide 15526732 by 298591.
52
-1623 divided by -280
1623/280
Divide 184631967 by 7839.
23553
Calculate 218305620 divided by -780.
-279879
What is -16827500 divided by -1060?
15875
What is 28 divided by 277864?
7/69466
Calculate -123238 divided by -2.
61619
Calculate 693058998 divided by 231019666.
3
Divide -2698860 by 4353.
-620
Calculate 27301135 divided by -281455.
-97
Divide -11349972 by -4.
2837493
Divide 124339225 by 223.
557575
What is 1600524 divided by -7732?
-207
-17688840 divided by -897
19720
What is 1327428 divided by 4097?
324
5025172 divided by 1256293
4
Divide 97261668 by -2646.
-36758
Divide -28030320 by 14015160.
-2
What is 187661028 divided by 99926?
1878
What is -100348768 divided by -1042?
96304
What is -57800436 divided by 4308?
-13417
Divide 1199127483 by -50873.
-23571
-495936 divided by -27552
18
Divide 1 by -5559490.
-1/5559490
Divide 173904390 by -5.
-34780878
Divide 1 by 34590561.
1/34590561
What is -66 divided by 10612527?
-22/3537509
What is 5961807 divided by 3?
1987269
-323089440 divided by 930
-347408
What is -18381376 divided by 2?
-9190688
Divide -60028320 by -181904.
330
What is 13563 divided by -1233?
-11
What is -276 divided by 28318?
-138/14159
16018047 divided by -27
-593261
Calculate -1 divided by -3048500.
1/3048500
What is 84511 divided by -672?
-12073/96
What is -15166444 divided by -43?
352708
Calculate 9712197 divided by -882927.
-11
Divide 78480335 by -15696067.
-5
27464451 divided by -83
-330897
What is -88961 divided by 15333?
-88961/15333
Calculate 24640340 divided by -11590.
-2126
Calculate -3423 divided by 42384.
-1141/14128
1 divided by 15392987
1/15392987
2467 divided by 18418
2467/18418
Divide 46 by -45617.
-46/45617
What is -21 divided by -184584?
7/61528
What is -4279616 divided by -4?
1069904
-2104 divided by -3910
1052/1955
What is 0 divided by 215725?
0
Divide -2812836 by -9633.
292
Calculate 12701340 divided by -2.
-6350670
36438856 divided by -844
-43174
93584192 divided by -832
-112481
-17637380 divided by -205
86036
What is -576095068 divided by -4?
144023767
4977 divided by -31159
-4977/31159
What is -151908957 divided by -17?
8935821
-1231 divided by -411985
1231/411985
Calculate 9408788 divided by 2352197.
4
What is -12849716 divided by -22?
584078
What is -32033508 divided by 26?
-1232058
-4347752 divided by -2731
1592
Divide 191 by -347883.
-191/347883
14017773 divided by -95359
-147
Divide 12582125 by 955.
13175
Divide -630507 by 3.
-210169
What is 13968240 divided by 15873?
880
-437608149 divided by -3
145869383
Calculate 635853132 divided by -4.
-158963283
Calculate 594239 divided by 1389.
594239/1389
72691540 divided by -18172885
-4
What is -7829478 divided by 13833?
-566
Divide 29548278 by -183.
-161466
Divide -735 by -7979.
735/7979
Divide 44 by -863425.
-44/863425
What is 9063144 divided by -2265786?
-4
Divide -51 by 1484017.
-51/1484017
What is 40861400 divided by 152?
268825
Calculate 467 divided by -32413.
-467/32413
Divide -690057576 by 172514394.
-4
-108118947 divided by 3
-36039649
What is -12521844 divided by 1917?
-6532
-1315308 divided by -85
1315308/85
104860214 divided by 5
104860214/5
Divide 53648838 by -6.
-8941473
What is -83368564 divided by 20842141?
-4
Divide -98657886 by -32885962.
3
-61335630 divided by 18
-3407535
Calculate 400475248 divided by 25029703.
16
What is 214909486 divided by -12386?
-17351
What is 190562922 divided by -1623?
-117414
What is -168 divided by 5813?
-168/5813
Divide 4704080 by 2540.
1852
-248604 divided by 62151
-4
-24 divided by 2942319
-8/980773
Calculate 43 divided by 8563.
43/8563
What is 26690124 divided by -6?
-4448354
What is 0 divided by 2106780?
0
What is 2 divided by 186194038?
1/93097019
Divide 1 by 37234701.
1/37234701
Calculate -71649 divided by -139.
71649/139
-241 divided by 964635
-241/964635
Calculate 138452 divided by -1161.
-138452/1161
Calculate -17 divided by -1930401.
1/113553
Calculate 386443 divided by -56.
-386443/56
-301 divided by 74526
-301/74526
37042 divided by 9572
18521/4786
Calculate 92981 divided by 64.
92981/64
What is -276819279 divided by 6?
-92273093/2
Divide 2 by 12862235.
2/12862235
-4 divided by 5871960
-1/1467990
What is -6503415 divided by -285?
22819
Divide 0 by 54494936.
0
Divide | {
"pile_set_name": "DM Mathematics"
} |
d by 756021.
18
What is 2273216735 divided by -5?
-454643347
What is 46808412 divided by -23404206?
-2
Divide -116268315 by 23253663.
-5
Divide 21268408 by -1.
-21268408
Calculate 19747564 divided by 6.
9873782/3
What is -586 divided by -39578?
293/19789
What is -10411398 divided by 1735233?
-6
What is -31869 divided by 535?
-31869/535
Divide -196235 by -209.
196235/209
Divide -102187841 by 5.
-102187841/5
-120311184 divided by -6
20051864
108590 divided by -725
-21718/145
What is 69002472 divided by 3?
23000824
-14793 divided by -21586
14793/21586
What is -12 divided by -1230800?
3/307700
What is 83990 divided by -3145?
-454/17
Calculate -131219690 divided by -131219690.
1
60655167 divided by -97
-625311
Divide 68 by -139717.
-68/139717
42291740 divided by 9
42291740/9
-190071 divided by -2
190071/2
-25009 divided by -529
25009/529
-1786632 divided by -348
5134
Calculate 17198 divided by -24681.
-17198/24681
Calculate 2 divided by 41151869.
2/41151869
Calculate 47335847 divided by -1.
-47335847
Calculate 65647588 divided by -1.
-65647588
Calculate -125596920 divided by 4.
-31399230
What is 37116588 divided by 12?
3093049
Calculate 625 divided by -6154.
-625/6154
Calculate -9367364 divided by 12358.
-758
-4247152 divided by -14
303368
178 divided by -438406
-89/219203
What is 17368982 divided by -5?
-17368982/5
26024 divided by 426
13012/213
What is -44816850 divided by 191525?
-234
What is -12773655 divided by 5?
-2554731
Calculate -6 divided by -1546206.
1/257701
Calculate -4537397 divided by -13.
4537397/13
What is 67 divided by -497100?
-67/497100
-9349500 divided by 75
-124660
Calculate 1657 divided by 776180.
1657/776180
What is 43099714 divided by -5567?
-7742
Divide 77292600 by 3091704.
25
What is 345290197 divided by 21089?
16373
Calculate 2105514 divided by 123.
17118
Divide 4373460 by -32396.
-135
What is -9213 divided by 309?
-3071/103
What is 2959856 divided by -43?
-2959856/43
What is -1074246 divided by 3?
-358082
Divide -376 by -13320.
47/1665
Divide -10600496 by 662531.
-16
-21096124 divided by 14
-1506866
What is 32403992 divided by 2?
16201996
-4 divided by -1082619
4/1082619
Calculate -57481545 divided by 9339.
-6155
Calculate -4 divided by 11178666.
-2/5589333
Calculate 76270 divided by 125.
15254/25
What is 4981550 divided by 199262?
25
What is -10754935 divided by -2?
10754935/2
What is 53 divided by -593537?
-53/593537
Calculate -7441047 divided by -6.
2480349/2
What is 34144967 divided by -1?
-34144967
What is -855570 divided by -570?
1501
Calculate 51212319 divided by 17070773.
3
Calculate 47372850 divided by -567.
-83550
Calculate -16994 divided by -102.
8497/51
What is 4731278 divided by 8?
2365639/4
Divide 5149581 by -5.
-5149581/5
Calculate 1148 divided by 25947.
1148/25947
-3287410 divided by 7
-469630
What is 433060388 divided by -1?
-433060388
What is 17477622 divided by 2?
8738811
What is -8286248 divided by 2071562?
-4
-5377 divided by 136
-5377/136
Divide -1 by 4258742.
-1/4258742
What is -875 divided by 42963?
-875/42963
Calculate 5 divided by 17762573.
5/17762573
Calculate 3688334 divided by 3688334.
1
What is -123715000 divided by -227000?
545
Calculate 2236344 divided by -3.
-745448
What is 1975570910 divided by -5?
-395114182
3881016 divided by 24
161709
What is -7529996 divided by -134?
56194
-847539 divided by 165
-25683/5
Calculate -15621660 divided by 12.
-1301805
30302 divided by -16
-15151/8
Divide 585192 by -308.
-146298/77
Calculate 33028030 divided by -1990.
-16597
-56924100 divided by -13050
4362
Divide -408 by 309211.
-408/309211
-2 divided by -18383
2/18383
Calculate -193013591 divided by 22031.
-8761
-665 divided by 95739
-95/13677
-151250 divided by 218
-75625/109
What is 1 divided by -9256447?
-1/9256447
Divide 37238 by -3372.
-18619/1686
What is -1017 divided by 1004?
-1017/1004
18285353 divided by -56611
-323
What is 29196312 divided by -17868?
-1634
-55607519 divided by 196493
-283
What is 61 divided by 1519441?
61/1519441
What is 1429053 divided by -101?
-1429053/101
-6508 divided by 63801
-6508/63801
What is -10983600 divided by 30?
-366120
Calculate -52 divided by 91142.
-26/45571
What is 5 divided by -3946287?
-5/3946287
-104 divided by 592303
-104/592303
What is -31788660 divided by -7947165?
4
Divide -1 by -12413944.
1/12413944
What is 99406692 divided by -225412?
-441
Divide -44946 by -441.
4994/49
What is 22479124 divided by 3?
22479124/3
Divide -826 by 2377.
-826/2377
29 divided by 28356866
29/28356866
Calculate 24904440 divided by -90.
-276716
-1734578766 divided by 3
-578192922
What is -188388103 divided by 5?
-188388103/5
-879448428 divided by -3
293149476
Calculate 7 divided by 45311624.
7/45311624
Divide 1404520 by 140452.
10
What is -1908905 divided by -3?
1908905/3
What is 9860438 divided by -194?
-50827
Divide 438285978 by -2.
-219142989
What is -4057516 divided by -2028758?
2
What is -5985057 divided by 19?
-315003
What is 31823 divided by 6?
31823/6
Calculate 48360672 divided by -6.
-8060112
What is 106367 divided by 27?
106367/27
Calculate -8587776 divided by -192.
44728
Calculate 23497092 divided by 11748546.
2
Divide -3992960 by -46976.
85
Divide 1412753022 by -3.
-470917674
47981160 divided by -5020
-9558
Calculate -353672148 divided by -3.
117890716
What is 79 divided by 12883?
79/12883
What is 654951016 divided by -163737754?
-4
Calculate -276980 divided by -39.
276980/39
200232 divided by -301
-200232/301
Calculate -17636037 divided by 5878679.
-3
-19700 divided by -93
19700/93
Calculate -328379353 divided by 3.
-328379353/3
What is 21 divided by -3695197?
-21/3695197
856407478 divided by -1776779
-482
What is 199515000 divided by -14100?
-14150
Divide 12 by -110.
-6/55
Calculate 21 divided by -5040374.
-21/5040374
Divide -155677500 by 9435.
-16500
Calculate -2 divided by -6420643.
2/6420643
Calculate 12573 divided by 4195.
12573/4195
Calculate -44217307 divided by -1.
44217307
What is -38 divided by 42547?
-38/42547
Calculate 8737592 divided by 2184398.
4
-5275236 divided by -12
439603
-3 divided by 386180218
-3/386180218
289 divided by 45860
289/45860
Divide 50736 by -2337.
-16912/779
What is 218756634 divided by -6?
-36459439
Divide 114 by 437965.
114/437965
61438650 divided by -20479550
-3
-3171731 divided by -46
3171731/46
Divide -517025420 by -11260.
45917
-105085330 divided by 10
-10508533
120 divided by 2495015
24/499003
-70410048 divided by 733438
-96
Divide -210576453 by -3.
70192151
Divide 110198816 by -5822.
-18928
What is 277735660 divided by -69433915?
-4
Calculate 23547015 divided by 60845.
387
What is 18457440 divided by -60?
-307624
What is -21789 divided by -116?
21789/116
Calculate 1259 divided by -8569.
-1259/8569
Calculate 12815565 divided by 2563113.
5
Calculate 0 divided by -2072489.
0
What is -64 divided by 888065?
-64/888065
3 divided by -24202215
-1/8067405
Divide 2 by -1779023.
-2/1779023
What is 1326643981 divided by 102049537?
13
Divide -25731080 by 643277.
-40
What is -163438560 divided by -567495?
288
What is 32745144 divided by -5457524?
-6
-8347136 divided by 30688
-272
Calculate 143538248 divided by -732338.
-196
Calculate 5 divided by 18653791.
5/18653791
Calculate -42464850 divided by 566198.
-75
Divide -460010 by -10.
46001
Divide 14520 by -726.
-20
What is -249042604 divided by -4?
62260651
What is -267897465 divided by -27519?
9735
Calculate -134 divided by -2232908.
67/1116454
Calculate -1427723039 divided by 4.
-1427723039/4
Divide -181439243 by -1.
181439243
What is -10087753 divided by -12721?
793
What is -3959660 divided by 116?
-34135
4 divided by 4407665
4/4407665
What is -20442 divided by 19804?
-10221/9902
Calculate 569426322 divided by -3.
-189808774
-244830850 divided by -120310
2035
What is -2884992 divided by 360624?
-8
What is 107597 divided by -2333?
-107597/2333
What is -130302525 divided by -130302525?
1
Calculate -368304035 divided by -55.
6696437
Divide -1955850 by 650.
-3009
What is 0 divided by -2908631?
0
What is 22196733 divided by -12311?
-1803
What is 481357620 divided by -73?
-6593940
Divide -2 by -47640016.
1/23820008
What is -45886756 divided by 1?
-45886756
Calculate -9031663 divided by -1.
9031663
Calculate 2829096 divided by 9.
314344
-49497195 divided by 9899439
-5
2724970 divided by 8 | {
"pile_set_name": "DM Mathematics"
} |
t b(l) be the third derivative of -l**7/105 + 7*l**5/5 + l**4/8 + 31*l**3/6 - 4*l**2 + 16. Find the second derivative of b(o) wrt o.
-24*o**2 + 168
What is the second derivative of -939*y - 39 - y**5 - 7*y**3 + 1878*y - 934*y wrt y?
-20*y**3 - 42*y
Let v(u) = -174*u - 315. Let t(y) = -6*y - 6*y - 45 - 4*y - 9*y. Let g(z) = -27*t(z) + 4*v(z). Differentiate g(h) with respect to h.
-21
Let v(b) be the third derivative of 0*b + 0*b**4 - 26*b**2 - 11/20*b**5 + 0 - 29/6*b**3. Differentiate v(s) wrt s.
-66*s
Let t(a) be the second derivative of 0*a**4 + 8*a**2 + 1/10*a**5 - 3/10*a**6 + 0*a**3 - 36*a + 0. Differentiate t(w) with respect to w.
-36*w**3 + 6*w**2
Let i = 10 + -10. Let v(w) be the first derivative of 4 - 1/3*w**3 + 3*w**2 + i*w. Find the second derivative of v(u) wrt u.
-2
Find the second derivative of 178*d - 50*d**3 + d**2 + 6*d**3 - 65*d**3 wrt d.
-654*d + 2
Suppose -6 = k - 3*k + 3*m, -3*k - 4*m + 9 = 0. Find the first derivative of 6*a**k + 705*a**2 - 705*a**2 - 6 wrt a.
18*a**2
Find the first derivative of 509*q - 509*q - 221 + 71*q**2 wrt q.
142*q
Let d(p) = -19*p**3 + 10. Let s(v) = 19*v**3 - 11. Let z be 5/((-2)/(-2)) + 0. Let x(r) = z*d(r) + 6*s(r). What is the first derivative of x(f) wrt f?
57*f**2
Let b(j) = 149*j**2 - 15. Let n(r) be the first derivative of -37*r**3/3 + 4*r - 11. Let y(v) = -2*b(v) - 9*n(v). Find the first derivative of y(s) wrt s.
70*s
Let m(g) be the third derivative of -109*g**5/60 - 131*g**4/24 - 2*g**2 - 5. Find the second derivative of m(z) wrt z.
-218
Let b = 33 - 23. Suppose 5*x = b, 2*x - 6 = -u - x. What is the second derivative of u*y**4 - 3*y - 9*y**4 + 4*y wrt y?
-108*y**2
Let o(a) be the third derivative of 113*a**5/60 + 8*a**4/3 - a**3/6 - 32*a**2. Find the second derivative of o(r) wrt r.
226
Let l(p) = -41*p**4 - p**2 + 28*p - 6. Let i(t) = -40*t**4 - t**2 + 27*t - 5. Let k(z) = -6*i(z) + 5*l(z). What is the second derivative of k(n) wrt n?
420*n**2 + 2
Let m = -4 + 6. Suppose 0 = 2*g - 6*g + 12. What is the third derivative of 5*a**2 + g*a**6 - 2*a**6 - 2*a + m*a wrt a?
120*a**3
Let i(a) = 17*a**2 + 13*a + 52. Let m(l) = 9*l**2 + 6*l + 26. Let s(f) = 6*i(f) - 13*m(f). Differentiate s(p) with respect to p.
-30*p
Let j be 8/20 + 18/5. Let d be (-6)/j*(-2 + 0). Differentiate 8 + 6*n**3 + 6*n**d - 6*n**3 with respect to n.
18*n**2
Suppose 4*r = l - 0*r - 16, -2*l - 4*r - 4 = 0. Suppose 21 + 0 = 7*p. Differentiate 0*a**3 + a**3 - l*a**3 + 6 - 2*a**p with respect to a.
-15*a**2
Let v(s) = -6*s**3 + 13*s**2 + 101. Let h(q) = 19*q**3 - 40*q**2 - 304. Let x(l) = -2*h(l) - 7*v(l). What is the derivative of x(d) wrt d?
12*d**2 - 22*d
Let c(w) = -4*w**3 + 69*w + 250. Let v(u) = -3*u**3 + 46*u + 167. Let d(a) = 5*c(a) - 7*v(a). Differentiate d(j) with respect to j.
3*j**2 + 23
Let u(n) = -237*n**5 - 5*n**3 - 8*n + 7. Let s(i) = 119*i**5 + 2*i**3 + 4*i - 4. Let q(a) = -5*s(a) - 2*u(a). Find the second derivative of q(l) wrt l.
-2420*l**3
Suppose 4*y = l + 19, 4*l - 29 = -3*y - 2*y. Suppose 0 = -5*c + m + 6, -2*c - 3*c = y*m - 30. What is the third derivative of 0 + 3*q**4 + 7*q**c - 9 + 9 wrt q?
72*q
What is the third derivative of -3*v**3 - 569*v**5 + 21*v - 2*v**2 + 575*v**5 + 0*v**2 wrt v?
360*v**2 - 18
Differentiate -64*a**3 - 40 - 5*a**4 + 27*a**3 + 38*a**3 wrt a.
-20*a**3 + 3*a**2
Let z(d) be the first derivative of -d**3 + 2*d**2 + 34*d + 69. Find the first derivative of z(o) wrt o.
-6*o + 4
Let b(i) = 593*i**2 + 934*i - 14. Let a(q) = 297*q**2 + 465*q - 8. Let g(w) = -7*a(w) + 4*b(w). What is the second derivative of g(l) wrt l?
586
What is the second derivative of 34 + 9*f + 8*f - 2*f**2 - 16*f + 0*f wrt f?
-4
Suppose 0 = 26*w - 23*w - 6. Find the third derivative of -3*i**2 - 17*i**3 + 4*i**w - 2*i**2 wrt i.
-102
Let x = 25 + 3. Let z = 31 - x. What is the third derivative of 12*l**z + l**2 - l**2 - 3*l**2 - 6*l**2 wrt l?
72
Let d = -15 - -11. Let g = d + 8. Find the third derivative of -2*n**4 + 6*n**2 + g*n**2 + 10*n**4 - 2*n**2 wrt n.
192*n
Let q(v) = v**2 + 6*v + 4. Let y be q(-6). Differentiate -y*b**3 - 1 - 16 + 5 + 0*b**3 wrt b.
-12*b**2
Suppose o + 2*o + 51 = -3*y, 0 = -5*o + 2*y - 50. Let h = o + 15. Find the second derivative of 3*d**3 - d**2 + 2*d**h + 8*d + d**2 wrt d.
30*d
Differentiate h**3 - 13 + 2*h**3 - 716*h + 682*h with respect to h.
9*h**2 - 34
Let x(o) be the second derivative of -35*o**6/3 + o**5/20 + o**4/4 + 73*o**3/2 - 1065*o. What is the third derivative of x(l) wrt l?
-8400*l + 6
Let j(k) be the second derivative of -7*k**6/144 - k**5/24 - 7*k**4/2 + 18*k. Let y(x) be the third derivative of j(x). Find the first derivative of y(d) wrt d.
-35
Let r(q) be the second derivative of -q**7/315 + q**5/15 + 7*q**4/3 - 12*q. Let w(h) be the third derivative of r(h). What is the derivative of w(i) wrt i?
-16*i
Let b(x) be the second derivative of -61*x**8/56 - x**4/3 - 2*x**3/3 - 81*x. Find the third derivative of b(r) wrt r.
-7320*r**3
Find the second derivative of 46*w + 82*w**2 + 11718 - 11718 wrt w.
164
Suppose 5*j + m - 18 = -0*m, 4 = -2*m. Suppose -7*s + 1 = 2*k - 10*s, k + 4*s = 17. What is the derivative of k + 5*u**2 - j*u + 4*u + 0*u wrt u?
10*u
Let z(i) be the second derivative of 3*i**8/2240 - i**5/30 - 2*i**4/3 + 20*i. Let j(p) be the third derivative of z(p). What is the derivative of j(x) wrt x?
27*x**2
Let p(f) = -f. Let t(y) = -165*y**3 - 4*y + 26. Let n(d) = 4*p(d) - t(d). What is the derivative of n(m) wrt m?
495*m**2
Suppose -18*k + 14 = -16*k. Let z be 12/k*77/22. What is the second derivative of -c**2 + 13 - 13 - z*c**2 - 11*c wrt c?
-14
Let a(q) = 7*q - 12*q - 19*q**2 + 3 + 9*q + 4*q. Let m(b) = -39*b**2 + 15*b + 5. Let l(f) = -5*a(f) + 3*m(f). Find the second derivative of l(c) wrt c.
-44
Suppose -17 = -4*v + 3. What is the third derivative of 52*a**4 + v*a**2 + 50*a**4 - 104*a**4 wrt a?
-48*a
Find the second derivative of 402*g + 10*g**5 + 145*g**5 - 411*g - 4 wrt g.
3100*g**3
Let w(x) be the first derivative of -41*x**5/20 + 39*x**2/2 - 17*x - 14. Let d(m) be the first derivative of w(m). Differentiate d(v) wrt v.
-123*v**2
Let m(o) = o**2 + 13*o + 2. Let c be m(-13). What is the first derivative of -7*j**4 - 8*j**4 + c - 1 wrt j?
-60*j**3
What is the second derivative of -782*x**2 + 348 - 353 + 229*x**2 - 46*x wrt x?
-1106
Find the second derivative of 166 + 4*a - a**2 - 85 - 83 wrt a.
-2
Let c(v) be the second derivative of v**4/3 + 2*v. Let f be c(-1). What is the derivative of -1 - f + 1 + 3*r wrt r?
3
Let p be (-237)/(-4) - (-8)/(-32). Find the third derivative of -59 + p + 24*r**5 + 18*r**2 wrt r.
1440*r**2
Suppose -3*k - o = 4*o - 253, -194 = -2*k + 3*o. Find the third derivative of -6*j**6 + k*j**2 - 56*j**2 + 2*j**6 wrt j.
-480*j**3
What is the third derivative of -95*y**4 - 95*y**2 - 11704 + 4*y**6 + 11704 - 57*y**4 wrt y?
480*y**3 - 3648*y
Let f = 198 - 193. Let k(q) be the second derivative of 0*q**f + 4*q - 2/15*q**6 + 0*q**4 + 5/2*q**2 + 0 + 0*q**3. Find the first derivative of k(y) wrt y.
-16*y**3
Suppose 2*x + 0*x = -4*k + 8, 5*k = 0. What is the first derivative of 11 + 12 + 27*w**x + 4 wrt w?
108*w**3
Let u = -71 - -108. Let y = 22 + 23. What is the derivative of -u + y - 4*h**3 + h**3 wrt h?
-9*h**2
Let q(a) = -4*a**3 - 2*a**2 - 3*a - 2. Let g be q(-1). Find the second derivative of -9*i**3 + 27*i**g + 36*i - 49*i wrt i.
108*i
Let d = -3 + 10. What is the second derivative of -d*s**3 + 11*s**3 + 2*s**2 + 1 + s - s**2 wrt s?
24*s + 2
Find the second derivative of -2*f**2 + 2*f - 68*f**3 - 30 - 38 - 21*f**3 + 63 wrt f.
-534*f - 4
Let d(c) be the second derivative of 19/56*c**8 + 1/12*c**4 + 0*c**3 + 0*c**6 - 19*c + 0*c**2 + 0 + 0*c**5 + 0*c**7. What is the third derivative of d(x) wrt x?
2280*x**3
Let l = 12 + -17. Let m(w) = -w**2 - 7*w - 7. Let v be m(l). What is the third derivative of 8*j**4 - j**4 - 2*j**2 + v*j**2 wrt j?
168*j
What is the derivative of 12 + 3*i - 6*i**2 - 23 - 29 wrt i?
-12*i + 3
Let a(h) = -h**2 - 3*h + 3. Let q be a(-3). Differentiate -5*f**q + 10*f**3 - 8 - 6*f**3 with respect to f.
-3*f**2
Let q be 11/(-2)*(-3 + -1). Let n = q - 19. What is the third derivative of 2*s**2 + 0*s**2 + 7*s**5 - 5*s**5 + n*s**5 wrt s?
300*s**2
Let d(x) be the first derivative of 0*x**5 - 7 + 0*x + 0*x**2 + 0*x**4 + 2/7*x**7 + | {
"pile_set_name": "DM Mathematics"
} |
*s. Is u composite?
True
Let z be (-2 - (-2 - 1))*-78. Let j = 131 + z. Is j a prime number?
True
Let r = 239 - -743. Is r prime?
False
Let w(v) = -47*v + 3. Is w(-8) prime?
True
Let w(l) be the second derivative of -3*l**3/2 - l**2/2 + 2*l. Is w(-6) prime?
True
Suppose 0 = 3*t - 5*t + 8. Suppose -t = v + 5*m + 2, 2*v = m - 12. Is (0 - -2)*(-165)/v a prime number?
False
Let d = 148 + -84. Suppose -33 - d = -s. Is s composite?
False
Let s = 0 + 5. Suppose 3 = -3*w, -s*g - w - 2*w + 12 = 0. Is g composite?
False
Let q = 76 + -40. Suppose 3*n - 2*r - 4 = -0, -5*r + q = 4*n. Suppose n*u = u + 93. Is u a composite number?
False
Let c be 1/1 - 0 - -119. Suppose -2*l + o = -201, -4*o - c - 66 = -2*l. Let t = l + -54. Is t a composite number?
True
Suppose 0 = 4*h, 3*g - 3*h - 22 = -7. Suppose -g*k = -3*k - 222. Suppose -2*j - j + k = 0. Is j a prime number?
True
Let v = -30 - -326. Suppose -2*d = -0*j - 4*j - 150, 0 = -4*d + 4*j + v. Let h = d + -50. Is h a prime number?
True
Let y(b) = -b**3 + 6*b**2 + b - 1. Let f be y(6). Let x = 336 - 224. Suppose -f*i + x = -c + 5*c, -4*i = -16. Is c a composite number?
False
Let g(a) = -384*a**2 + 2*a - 2. Let w be g(-3). Is w/(-16) - 1/(-2) prime?
False
Suppose -2*o + 24 + 242 = 0. Is o prime?
False
Let w(l) be the second derivative of 0 + 1/6*l**3 + 2*l - 1/6*l**4 + 0*l**2 + 4*l**5. Is w(1) prime?
True
Let z = -5 + 7. Let l = 37 + -91. Is ((-3)/3 - l) + z a prime number?
False
Is 6/(-2) - (-474 + (-16)/8) composite?
True
Let s = 6503 - 3234. Is s prime?
False
Suppose 125 = 9*h - 8*h - o, -2*h + 246 = -4*o. Is h prime?
True
Suppose 6*q - q = -5. Let j(u) = -148*u + 1. Is j(q) a prime number?
True
Suppose 3*f - 432 = -3*s, 0 = -s + 5*f - 16 + 190. Is s a composite number?
False
Let c = 227 + -100. Is c composite?
False
Suppose 2*t + t + 72 = 0. Let i = 51 + t. Suppose i = -2*q + 169. Is q composite?
False
Let b be ((-2)/(-4))/(2/8). Let f(g) = -g**3 + 4 - 4*g + 3*g + b. Is f(0) a prime number?
False
Let g = -14 - -29. Suppose 39 = -2*v - 5. Is (v - -1)*(-10)/g a composite number?
True
Let s be ((-2)/(-4))/((-1)/(-4)). Let k be s - (-1 + 1) - -60. Suppose 0 = 5*y - 63 - k. Is y a composite number?
True
Let a = -144 - -779. Is a prime?
False
Let i(k) = -2*k + 2. Let m be i(-3). Let u(a) = m*a - 4 - 2 + 5. Is u(3) composite?
False
Let n(t) = 4*t**2 - 1. Let z be n(-1). Let y = 11 - 7. Suppose -m - z = 0, y*h + 6*m = 3*m + 19. Is h composite?
False
Suppose -4*h + 3*i = 4, 3*h + 3*i = -2*h + 22. Suppose k - 101 = 3*u - u, h*k - 196 = u. Is k a composite number?
False
Let p = 59 - -154. Let w = -130 + p. Is w a composite number?
False
Suppose -970 = -2*x + 7*x. Let b = x + 271. Suppose -2*o + b = 2*t + o, -5*t + 145 = -2*o. Is t a prime number?
True
Is (1 - (-3 - -1)) + 748 a composite number?
False
Let h(s) = -s**3 + 2*s**2 - s + 1. Let o be h(1). Is (1/o)/(19/11077) composite?
True
Suppose -u = -4*d + 4*u + 353, -4 = 4*u. Suppose -c + r = -d - 135, -2*r + 671 = 3*c. Is c a prime number?
True
Let q(h) be the third derivative of h**6/90 - h**5/40 - h**4/24 - h**2. Let j(t) be the second derivative of q(t). Is j(2) prime?
True
Let h be 6*(-2)/6*-3. Let y(r) = r**2 + 3*r - 8. Is y(h) a composite number?
True
Suppose -40 = 4*m - 0*m + 2*y, 4*m = -5*y - 34. Let z = m + 60. Is z prime?
False
Suppose 3*w - 4*w = -4. Suppose 2*j + j = -w*n - 24, 5*n = -15. Let s(a) = -a**3 + 2*a**2 - 5*a - 5. Is s(j) prime?
False
Suppose -5*t = 25, -4*t = -0*v + 3*v - 685. Is v prime?
False
Suppose -27*h + 293 = -26*h. Is h composite?
False
Let f(a) = a + 12. Let l be f(-10). Suppose -135 = -l*b - b. Is b/(-6)*(-2)/1 a prime number?
False
Let n(t) = -17*t - 21. Is n(-16) a prime number?
True
Let j = 544 - 129. Is j a prime number?
False
Suppose -s + 4*j = -9, 4*s + 4*j + 44 = -0*s. Is (-831)/s + 6/21 a prime number?
False
Let j = -4 - -11. Suppose 10*g = j*g + 357. Is g composite?
True
Suppose 3*i = 2*z - 954 - 1606, -6383 = -5*z - i. Is z prime?
True
Let u(q) = -53*q - 3. Let m be u(-2). Let w = 258 - m. Suppose -3*s = 50 - w. Is s a prime number?
False
Suppose 25*r = 33*r - 12088. Is r a prime number?
True
Let w(p) be the third derivative of -p**4/24 - p**3/3 + 3*p**2. Let l be w(-5). Suppose -l*k - 1 = -274. Is k a prime number?
False
Let f be (0 - -815)*9/15. Is f*4/36*3 prime?
True
Let z(p) = 10*p**2 + 8*p + 9. Is z(-5) a composite number?
True
Let x(t) = t**3 - 7*t**2 - 7*t - 2. Let j be x(8). Suppose -1520 = n - j*n. Is n/14 - (-4)/14 a prime number?
False
Let a(u) = 458*u + 1. Let y be 2/(-5) - 9/15. Let x be a(y). Let w = -120 - x. Is w a composite number?
False
Suppose -3*h - a + 21 = 2*a, 0 = h + 4*a - 16. Suppose -h*g = -g - 69. Is g a composite number?
False
Let d be ((-9)/6)/(1/(-14)). Let m(u) = 127*u**2 - u + 1. Let q be m(1). Suppose -4*b + d = -q. Is b prime?
True
Let d = 24 - 13. Let u be 4266/d + 8/44. Suppose l - 5*l + u = 0. Is l composite?
False
Let g(m) = -2*m**3 - 13*m**2 + 12*m + 25. Is g(-12) a composite number?
True
Let w(l) = -l**2 + l - 8. Let v(q) = q + 1. Let o(z) = -6*v(z) - w(z). Let n be o(7). Suppose -2*s - 283 = -3*r - s, 380 = 4*r - n*s. Is r prime?
False
Let c = -8 - -105. Suppose 7*n = 3*q + 3*n - c, 5*q + 3*n = 152. Is q a composite number?
False
Let x = -9 + 23. Let k = 81 + x. Is k prime?
False
Let t = -1849 - -5403. Is t prime?
False
Let u = 0 + 301. Is u prime?
False
Let r(p) = 3*p**2 + 3*p - 2. Let h(f) = -2*f**2 - 3*f + 2. Let v(m) = 3*h(m) + 4*r(m). Is v(-5) prime?
False
Let z be (-2 - (-1 - 0))*7. Let x = z - -11. Is 10/(-15)*(-42)/x a composite number?
False
Let m(d) = -d**3 - 5*d**2 + 4*d - 8. Let s be m(-6). Suppose 0 = 4*p - s, 3*j - 5*p - 7 = -0*p. Suppose j*v - 59 = 3*a, -1 - 4 = 5*a. Is v composite?
True
Is (-4)/(-6)*(-1743)/(-14) prime?
True
Let s be (3 - (-4)/(-2))*0. Let m be (s/(-3))/3 + 461. Let h = m + -306. Is h composite?
True
Let h = 1 + 0. Let g be (-492)/9 - 4/(-6). Is h/(-2) + g/(-4) a prime number?
True
Let s(j) = -j**3 - 7*j**2 - 2*j - 1. Let z be s(-7). Let k = 10 + 22. Let o = k - z. Is o prime?
True
Suppose -1520 = 3*u + 2*u. Let q be u/(-14) + 2/7. Suppose 0 = 4*d - q - 30. Is d a composite number?
False
Is -681*27/(-33) - 4/22 a composite number?
False
Let i(a) = 8*a**2 - 4*a + 5. Let j be (-1)/(-1) - (-2 - 3). Is i(j) a prime number?
True
Let o(m) = 2*m + m + 3*m - 7. Is o(10) composite?
False
Let f = 237 - 168. Is f a composite number?
True
Let z(d) = 3*d - 9. Let x be z(7). Suppose -3*q - x = -45. Is q a prime number?
True
Let t = 3 - 2. Is ((-21)/9)/(t/(-3)) a prime number?
True
Suppose 5*z = 5115 + 5380. Is z a prime number?
True
Let w = 7 + -10. Let j be -4*w/6 - 1. Suppose j = -n + 24. Is n a composite number?
False
Let h be -2 + -2 + 3 + 0. Is h - -125 - 3/(-1) a prime number?
True
Let b(j) = 7*j**3 - j**2 - 2. Let a be b(2). Suppose -3*i - a = -8*i. Suppose 4*z - 306 = i. Is z a composite number?
False
Let w = 858 + -227. Is w prime?
True
Suppose -t - 1614 = -3*t. Is t composite?
True
Let h = -6 - -46. Let u = h - 9. Is u prime?
True
Let w(s) = -15*s**2 + 5*s + 1. Let x(a) be the first derivative of 44*a**3/3 - 7*a**2 - 3*a + 1. Let m(o) = 17*w(o) + 6*x(o). Is m(-2) a prime number?
False
Suppose -8*n - 3639 = -11*n. Is n composite?
False
Suppose 3*i + 15 = 3*z, 2*z - 3*i - 5 = 2. Let w be ((-52)/z)/(2/(-156)). Is w/9*6/2 a composite number?
True
Is 853 - 0 - (-6 + 4) - 2 prime?
True
Let l be (8/(-3))/((-10)/15). Suppose -l*o + 9*o = 20, 0 = -4*f - 2*o + 52. Is f composite?
False
Suppose 3*r + 6*f - f + 64 = 0, -4*r - 47 = -f. Let b(x) = x**2 + 5*x - 13. Is b(r) a composite number?
True
Let j(c) = -11*c**3 - 4*c**2 + c - 3. Let o(s) = 10*s**3 + 4*s**2 + 3. Let a(h) = -4*j(h) - 5*o(h). Is a(-2) a composite number?
False
Let i = 19 - 67. Let z = i + 175. Is z prime?
True
Suppose -2*r = -10 - 10. Is r a prime number?
False
Let a = 288 + -160. Is (6/2 + a)*1 a prime number?
True
Suppose -j + 8 = -5*t, -6 = 5*t - 2*t - j. Let v(m) = -200*m**3 - 2*m**2 - m. Is v(t) prime?
True
Let s(q) = -23*q - 3. Let g = -13 - -22. Let w = g + -13. Is s(w) composite?
False
Let u(t) = -t**3 - 13*t**2 - t - 11. Let w be u(-13). Is (w/(-3))/((-10)/3165) prime?
True
Suppose 416 = 2*c - 470. Is c composite?
False
Suppose -6*r + 2*r = -8. Suppose 3*w + 3*d - 48 = 219, -r*w - d + 17 | {
"pile_set_name": "DM Mathematics"
} |
) = l**3 + 9*l**2 + 10*l + 95. Give s(-9).
5
Let u(t) = 45*t + 297. Give u(-6).
27
Let u(i) = 114*i**2 - 337*i - 9. Give u(3).
6
Let v(p) = -27*p + 212. Determine v(10).
-58
Let x(m) = m**3 - 14*m**2 - 61*m + 1083. Determine x(11).
49
Let r(y) = 3*y**2 + 7*y - 18. Calculate r(-7).
80
Let t(l) = 42*l + 18. What is t(-1)?
-24
Let d(f) = -f**2 - 21*f - 174. Give d(-27).
-336
Let z(b) = b**3 - 16*b**2 - 142*b + 60. Calculate z(22).
-160
Let m(x) = -3*x**2 - 51*x + 108. Give m(2).
-6
Let j(g) = -2*g**3 - 13*g**2 - 5*g + 25. What is j(-6)?
19
Let o(v) = -4*v**2 - 3*v + 22. Determine o(-3).
-5
Let q(a) = -2*a + 16. Determine q(16).
-16
Let w(t) = -96*t + 149. Give w(6).
-427
Let b(v) = -18*v**2 - 332*v + 1013. What is b(3)?
-145
Let o(f) = -387*f - 1546. Determine o(-4).
2
Let m(x) = 29*x - 985. Give m(27).
-202
Let c(v) = -9*v**2 - 25*v - 161. Determine c(-4).
-205
Let o(v) = 18*v + 1701. What is o(-96)?
-27
Let o(l) = 8*l**2 + 18*l - 18. Calculate o(4).
182
Let u(y) = 69*y - 168. What is u(5)?
177
Let b(x) = 5*x**3 + 51*x**2 - 27*x - 37. Determine b(-11).
-224
Let u(a) = 174*a**2 - 5. What is u(1)?
169
Let c(h) = h**3 - 15*h**2 + 23*h + 18. Give c(14).
144
Let m(a) = -a**2 + 11*a - 29. What is m(5)?
1
Let o(q) = 1007*q + 1920. Calculate o(-2).
-94
Let d(c) = -c**3 + 12*c - 22. Calculate d(5).
-87
Let d(m) = -5*m**3 - 40*m**2 - 35*m + 6. Give d(-7).
6
Let q(k) = 4*k**3 - 18*k**2 - 21*k + 68. Determine q(5).
13
Let k(u) = -379*u - 3041. What is k(-8)?
-9
Let t(v) = -3*v**3 - 72*v**2 - 130*v + 60. What is t(-22)?
16
Let h(q) = 44*q - 7. Give h(1).
37
Let k(n) = 31*n + 432. Calculate k(-14).
-2
Let b(w) = w**3 - 19*w**2 - 14*w - 143. Give b(20).
-23
Let w(d) = -2*d**2 + 29*d + 191. Give w(-5).
-4
Let o(f) = -924*f + 931. What is o(1)?
7
Let c(q) = q**3 - 89*q**2 + 130*q - 3706. What is c(88)?
-10
Let n(z) = z**2 - 44*z + 727. Give n(29).
292
Let y(b) = -b**3 - 13*b**2 - 4*b - 97. Give y(-13).
-45
Let n(a) = 90*a + 2262. Give n(-25).
12
Let y(a) = 1850*a + 98046. Give y(-53).
-4
Let n(f) = 7*f**2 - 1024*f - 1024. What is n(-1)?
7
Let b(i) = -i**3 + 16*i**2 - 19*i + 9. Calculate b(15).
-51
Let f(l) = -340*l + 215. Determine f(-1).
555
Let z(t) = 2*t**2 - 24*t - 1273. Give z(32).
7
Let r(k) = -k**2 - 84*k - 469. Determine r(-6).
-1
Let k(p) = p**3 + 55*p**2 + 64*p + 300. Give k(-54).
-240
Let w(i) = -47*i + 156. Calculate w(5).
-79
Let q(s) = -s**3 + 76*s**2 + 586*s - 405. Calculate q(83).
10
Let g(n) = -n**3 + 2*n**2 - 310*n + 2411. Determine g(7).
-4
Let t(p) = p**2 - 65*p + 671. Give t(47).
-175
Let l(w) = -69*w + 726. Give l(14).
-240
Let p(x) = -x**3 - 51*x**2 - 247*x - 235. Determine p(-4).
1
Let o(s) = s**3 + 34*s**2 + 257*s - 131. Give o(-22).
23
Let j(f) = -3*f**2 - 108*f + 153. What is j(-38)?
-75
Let n(m) = 4*m**3 - 33*m**2 + 24*m + 180. Calculate n(6).
0
Let v(g) = -4*g**3 + 46*g**2 + 14*g - 426. Determine v(11).
-30
Let p(k) = k**3 + 5*k**2 + 20*k + 41. Calculate p(-4).
-23
Let w(t) = -t**3 + 60*t**2 + 191*t + 2. Give w(-3).
-4
Let f(m) = 21*m - 552. Determine f(17).
-195
Let t(a) = 2*a**3 + 22*a**2 - 240*a + 35. What is t(-19)?
-1181
Let s(a) = 4*a**2 + 283*a + 4977. Calculate s(-38).
-1
Let o(q) = -2*q**3 - 66*q**2 - 3*q - 96. Determine o(-33).
3
Let h(v) = -v**3 - 26*v**2 + 80*v - 216. Give h(-29).
-13
Let c(g) = 50*g**3 - 302*g**2 + 7*g + 21. Determine c(6).
-9
Let l(p) = -p**3 - 12*p**2 - 20*p - 41. Give l(-11).
58
Let v(z) = z**2 - 26*z - 967. Give v(47).
20
Let x(b) = 45*b**2 + 16*b + 25. What is x(-4)?
681
Let g(f) = -47*f + 36. Calculate g(4).
-152
Let m(u) = -u**3 + 3*u**2 + 7*u - 24. Calculate m(2).
-6
Let b(v) = -9*v**2 + 7*v + 8. Give b(-3).
-94
Let k(o) = -2150*o - 6457. Calculate k(-3).
-7
Let h(j) = -j**3 + 10*j**2 - 22*j + 100. What is h(6)?
112
Let k(t) = -11*t**3 + 56*t**2 - 25*t + 96. Calculate k(5).
-4
Let i(d) = 415*d - 105001. Determine i(253).
-6
Let k(i) = -i**2 + 87*i + 136858. What is k(416)?
-6
Let l(r) = -3*r**3 - 3*r**2 - 369*r + 739. Calculate l(2).
-35
Let h(t) = t**3 - 21*t**2 - 332*t + 7040. Determine h(20).
0
Let x(l) = 3*l**3 + 13*l**2 + 39*l + 38. What is x(-2)?
-12
Let m(h) = 6*h - 15. What is m(12)?
57
Let p(x) = 19*x**2 - 570*x + 3. Calculate p(30).
3
Let c(k) = -38*k - 976. What is c(-33)?
278
Let i(w) = 129*w + 805. Calculate i(-6).
31
Let z(h) = 9*h**2 - 756*h - 3066. What is z(-4)?
102
Let g(r) = -34*r - 1097. What is g(-32)?
-9
Let u(b) = -b**2 + 21*b - 130. Give u(13).
-26
Let u(v) = -20*v + 1792. What is u(93)?
-68
Let k(w) = -86*w + 1127. Give k(18).
-421
Let j(u) = -63*u - 63. Determine j(-1).
0
Let t(b) = -71*b - 1060. Determine t(-16).
76
Let l(f) = -17*f**3 - 15*f**2 + 66*f + 2. Determine l(3).
-394
Let s(n) = -2*n**3 + 2*n**2 + 57*n + 20. Give s(-5).
35
Let b(l) = l**3 - 12*l**2 - 9*l + 114. Give b(7).
-194
Let q(y) = -y**3 + 15*y**2 + 22*y + 36. Calculate q(16).
132
Let d(r) = r**3 - r**2 - 64*r + 194. Calculate d(6).
-10
Let m(q) = q**3 - 33*q**2 - 105*q - 164. Determine m(36).
-56
Let g(o) = 3463*o - 3448. What is g(1)?
15
Let y(f) = -12*f**3 + 2*f**2 - 27*f - 29. Give y(-1).
12
Let c(a) = a**2 - 72*a - 3886. Determine c(-36).
2
Let s(o) = o**3 - 29*o**2 + 82*o - 108. What is s(26)?
-4
Let c(d) = -d**3 + 22*d**2 + 12*d - 265. Give c(22).
-1
Let a(s) = -s**3 + 88*s**2 + 45*s + 3946. Calculate a(89).
30
Let o(m) = m**3 + 34*m**2 + 59*m - 84. Determine o(-32).
76
Let d(i) = -i**2 + 49*i + 377. Determine d(53).
165
Let v(h) = 311*h - 2887. Calculate v(9).
-88
Let t(m) = -m**3 + 69*m**2 - 264*m + 259. What is t(65)?
-1
Let o(f) = 72*f + 277. Give o(-4).
-11
Let a(t) = t**3 + 8*t**2 + 361*t + 3308. Give a(-9).
-22
Let v(u) = 26*u - 640. Give v(7).
-458
Let f(k) = -72*k + 383. Calculate f(-5).
743
Let a(y) = -19*y**2 + 1391*y - 376. Determine a(73).
-84
Let z(d) = -2*d**3 - 6*d**2 + 12*d + 10. Calculate z(4).
-166
Let v(z) = -z**3 + 19*z**2 + 33*z - 606. Calculate v(19).
21
Let f(q) = 2*q**3 + 156*q**2 + 158*q + 299. What is f(-77)?
-9
Let p(q) = q**3 + 19*q**2 + 14*q - 21. What is p(-18)?
51
Let z(d) = 56*d + 815. What is z(14)?
1599
Let d(p) = -86*p + 6. Give d(0).
6
Let o(q) = 27*q - 3089. Determine o(114).
-11
Let g(b) = -b**3 + 16*b**2 + 338*b - 5426. Determine g(18).
10
Let v(u) = -196*u - 9832. Determine v(-50).
-32
Let u(y) = -6*y**2 - 9*y + 25. What is u(-7)?
-206
Let d(l) = 4*l**2 + 25*l - 57. Determine d(5).
168
Let n(j) = -340*j - 6111. Give n(-18).
9
Let u(a) = a**2 - 55*a - 19. Determine u(51).
-223
Let b(d) = -17*d - 173. Give b(-9).
-20
Let t(o) = -o**3 + 15*o**2 - o - 52. Give t(14).
130
Let k(o) = -o**2 + 9*o - 38. Give k(5).
-18
Let z(h) = 6*h**2 + 6*h - 8. Calculate z(-5).
112
Let q(s) = -93*s - 311. Determine q(-3).
-32
Let g(p) = p**3 - 21*p**2 + 10*p + 211. Calculate g(20).
11
Let w(z) = -z**3 - 26*z**2 + 34*z + 1458. Calculate w(-25).
-17
Let s(t) = t**2 - t + 39. Determine s(5).
59
Let m(j) = -1330*j - 13295. What is m(-10)?
5
Let f(n) = -n**2 - 24*n - 71. Calculate f(-24).
-71
Let c(j) = -11*j - 678. Give c(-80).
202
Let w(i) = -8*i**3 - 23*i**2 - 41*i - 1. Give w(-2).
53
Let v(l) = 3*l**3 + 9*l**2 + 9*l + 8. Give v(-2).
2
Let v(z) = -z**2 + 105*z - 209. Determine v(2).
-3
Let z(u) = 51*u - 960. Determine z(16).
-144
Let q(m) = -3*m**2 + 122*m + 20. Calculate q(41).
-21
Let a(b) = -b**3 + 93*b**2 + 189*b + 91. What is a(95)?
-4
Let f(o) = 13*o**2 + 7*o + 774. Calculate f(0).
774
Let o(r) = -6*r**2 - 55*r - 339. What is o(-9)?
-330
Let f(a) = -15*a**2 + 622*a + 43. Give f(42).
-293
Let j(n) = -29*n**2 + 14*n + 50. Give j(-3).
-253
Let x(c) = 3*c**2 + 397*c - 395. Calculate x(1).
5
Let d(b) = -44*b + 733. Calculate d(16).
29
Let m(s) = 6*s + 382. Determine m(-51).
76
Let z(p) = 1751*p + 7002. Give z(-4).
-2
Let w(g) = -g**3 - 73*g**2 + 386*g - 333. Determine w(-78).
-21
Let b(z) = z**3 + 11*z**2 - 12*z - 9. Calculate b(-5).
201
Let g(h) = 30*h + 178. Determine g(-1).
148
Let v(l) = l**2 + 26*l - 106. Determine v(-20).
-226
Let y(x) = x**3 - 19*x**2 - 72*x. What is y(-4)?
-80
Let o(q) = 203*q + 432. What is o(-2)?
26
Let i(w) = -81*w - 186. Give i(-2).
-24
Let p(x) = 25*x + 16. Calculate p(-4).
-84
Let r(g) = 29*g**3 - 233*g**2 + 22*g - 112. Determine r(8).
0
Let a(b) = 1692*b - 27075. Give a(16).
-3
Let h(k) = k**3 + 80*k**2 + 1536*k + 2. What is h(-48)?
2
Let q(n) | {
"pile_set_name": "DM Mathematics"
} |
k**a - 24*k - 5*k**2 + 24*k wrt k.
360*k
Suppose k = 6*k - 25, 3*k = -4*l + 35. Suppose 4 = -l*t + 19. What is the second derivative of -7*f**3 + 6*f + f**t - 2*f**3 wrt f?
-48*f
Let d(b) be the second derivative of 0*b**6 - 1/12*b**4 + 139/6*b**3 + 0*b**2 + 27 + 17/21*b**7 - b + 0*b**5. What is the second derivative of d(q) wrt q?
680*q**3 - 2
Let q(c) be the first derivative of -512*c**3 + 5419*c - 4920. Differentiate q(g) wrt g.
-3072*g
Let b(y) = -7672*y**3 + 14*y**2 - 860*y. Let q(r) = 7673*r**3 - 12*r**2 + 849*r. Let a(n) = 6*b(n) + 7*q(n). What is the second derivative of a(u) wrt u?
46074*u
Let i(a) be the first derivative of 0*a**2 + 0*a**3 - 32 + 0*a**4 + 3/5*a**5 + 48*a. Find the first derivative of i(t) wrt t.
12*t**3
What is the derivative of -1364*d**4 - 938 + 10*d**2 + 8*d**2 + 2764 - 18*d**2 wrt d?
-5456*d**3
Suppose 5*u = 0, 4*v - 3*u = -u + 12. Let r be 2*(8 + -4 - v). What is the first derivative of 12*t + 9*t**3 - 5*t - 7*t + r wrt t?
27*t**2
Let p(r) be the first derivative of -r**4/4 - r**3/3 - r - 68. Let a(v) = 59*v**3 + 3*v**2 - 47. Let x(i) = -a(i) - 3*p(i). Differentiate x(u) wrt u.
-168*u**2
Let x(q) = 282*q - 107. Let j(t) = -2. Let g(o) = 279*o - 102. Let f(d) = -g(d) - 3*j(d). Let b(i) = -3*f(i) - 2*x(i). Differentiate b(p) with respect to p.
273
Let a(x) = x**2 - 9*x + 22. Let z be a(6). Suppose 3*u - i = z, -4*i + 2*i = -4. Find the second derivative of 6 - 10*m + 6*m - 38*m**u - 6 wrt m.
-76
Suppose 6*v = 11*v - 20. Let a = 8 - v. Differentiate -55 + 4*b**a + 2*b**4 + 39 with respect to b.
24*b**3
Let i(b) = -2*b - 10. Let y be i(-7). Suppose y*s - c - 13 = 0, 0 = 2*s - 3*c - 8 - 1. Find the first derivative of -s*l + 0 - 6 + 1 + 3 wrt l.
-3
What is the third derivative of -10*t**4 - 1440*t**4 - 1254*t**4 - 56*t**4 + 0 + 8*t**2 + 5 wrt t?
-66240*t
Let p(t) be the first derivative of -15*t**4/4 - t**3/3 - 10*t**2 + 4321*t - 6662. Differentiate p(d) wrt d.
-45*d**2 - 2*d - 20
Let l = -397 - -492. Differentiate -20*s - 53*s - 22*s - l with respect to s.
-95
Let l(f) be the second derivative of 11*f**6/30 - 34*f**5/5 - f**4/6 + 10*f**3/3 - 11*f**2/2 + 5230*f. What is the third derivative of l(i) wrt i?
264*i - 816
What is the derivative of 530*r**3 - 2859*r**3 - 2841 - 1082*r**2 + 2*r + 536*r**2 + 546*r**2 wrt r?
-6987*r**2 + 2
Let m(h) be the second derivative of -36*h + 1/6*h**3 + 0*h**6 + 44/21*h**7 + 0 + 0*h**5 - 13/2*h**2 + 0*h**4. What is the second derivative of m(k) wrt k?
1760*k**3
Let r(p) be the second derivative of 0*p**2 + 25/6*p**3 - 29/12*p**4 + 123*p + 0. Find the second derivative of r(k) wrt k.
-58
Let s(o) be the first derivative of 14 - 12*o**3 + 39/4*o**4 + 0*o + 0*o**2. Find the third derivative of s(i) wrt i.
234
Let l(a) be the third derivative of -19*a**9/72 - a**8/336 - 25*a**5/3 + 554*a**2 + 2*a. Find the third derivative of l(r) wrt r.
-15960*r**3 - 60*r**2
Let i(r) = 2 - 2*r**3 + 16*r**2 - 15*r**2 + 3*r - 16*r**3. Let p be i(-1). What is the third derivative of -6*f - p*f**2 + 12*f - 6*f - 3*f**6 wrt f?
-360*f**3
Let m(x) be the second derivative of 1324*x**3/3 + 2217*x**2/2 + x + 28. Differentiate m(u) with respect to u.
2648
Let v = 357 + -353. What is the third derivative of -r**3 + 23*r**v - 36 + 22 + 8*r**2 - 13*r**4 + 13*r**4 wrt r?
552*r - 6
Let v(b) = 8*b + 66. Let p be v(-7). What is the derivative of -38*x**3 + 3*x**3 - p - 3*x**3 wrt x?
-114*x**2
Let i = -1416 + 2035. Let a = -392 + i. What is the first derivative of 8*u - a - 221 + 443 wrt u?
8
Let v(n) = 2294*n**3 - 4*n + 868. Let t(k) = -6881*k**3 + 11*k - 2602. Let z(u) = -4*t(u) - 11*v(u). Find the first derivative of z(f) wrt f.
6870*f**2
Let c(t) be the third derivative of -949*t**6/120 - 601*t**5/60 + 2*t**2 - 158. What is the third derivative of c(r) wrt r?
-5694
Let a = 443/14 - 183/7. Let w(r) be the first derivative of 0*r - 13 - a*r**2 - 11/3*r**3. Find the second derivative of w(v) wrt v.
-22
Let w = -26 + 31. What is the third derivative of 23*p**w + 2*p**3 - 56*p**2 - 54*p**2 + 29*p**2 wrt p?
1380*p**2 + 12
Suppose 0*x = -7*x + 21. Find the third derivative of -24*m**x - 12*m**2 - 28*m**2 - 20*m**2 wrt m.
-144
Let y(g) = 11642*g**2 - 93*g - 401. Let t(b) = 11644*b**2 - 79*b - 401. Let n(s) = -7*t(s) + 6*y(s). What is the second derivative of n(v) wrt v?
-23312
Let c(z) be the second derivative of -309*z**5/20 - 869*z**3/6 + 78*z + 3. What is the second derivative of c(p) wrt p?
-1854*p
Let q(y) = 0*y**2 - 3 - y**2 + y + 3 + 4. Let x be q(0). Find the third derivative of p**6 + 13*p**2 + 10*p**2 - x*p**2 + 3*p**6 wrt p.
480*p**3
Let a(r) = r**2 + 5*r + 2. Let j be a(0). What is the second derivative of 0 + 1 + 42*z**j - 4 + 5 + 5*z**2 - 58*z wrt z?
94
Let l be 546/(-54) - (-2)/18. Let p(j) = j + 15. Let b be p(l). What is the second derivative of 23*o**b - 6*o**5 + 0*o**5 + 5*o wrt o?
340*o**3
Differentiate -72 - 365*n + 49 + 1819*n - 107 wrt n.
1454
Let a(s) be the third derivative of 209*s**5/30 - 7993*s**4/24 + 2*s**2 - 19*s + 18. Find the second derivative of a(r) wrt r.
836
Let i(d) = 515*d**3 - 270*d**2 - 4*d + 4. Let c(w) = -2*w**2 + w - 1. Let k(g) = -4*c(g) - i(g). What is the third derivative of k(n) wrt n?
-3090
Suppose -17*a - 9*a = -2392. Find the second derivative of 9*r + a*r**2 - 16 - 7*r - 4 - 3*r wrt r.
184
Let o be (20/(-26))/(675/117 + -6). Let c(l) be the first derivative of -11 + 0*l**2 + 18*l - o*l**3. What is the first derivative of c(v) wrt v?
-20*v
What is the third derivative of 58 + 58 - 4374*d**2 + 352*d**3 - 116 - 1945*d**2 wrt d?
2112
Let k(c) be the second derivative of 0*c**6 - 6*c + 0*c**5 + 0 + 139/56*c**8 + 47/6*c**4 + 0*c**2 + 0*c**3 + 0*c**7. What is the third derivative of k(m) wrt m?
16680*m**3
What is the third derivative of -v**2 - 113*v + 889386 - 889386 + 286*v**6 wrt v?
34320*v**3
Let f = -17 - -21. Find the third derivative of 0*z**2 + 10*z**4 + 19*z**2 + z + 8*z**3 + f*z**3 - 7*z**3 wrt z.
240*z + 30
Find the second derivative of 49 + 7965*m**2 - 22 - 21 - 170*m - 6736*m**2 wrt m.
2458
Let n be 5 - 0*(-1)/3. Let s be n - (3 - 0) - -1. Find the third derivative of -25*v**2 + 9*v**2 - s*v**6 + v**5 - v**5 wrt v.
-360*v**3
Let c = 4 + -106. Let p = c - -117. Differentiate 6 - p*w**2 + 13 + 11 - 29 wrt w.
-30*w
Let x(o) = 1269*o**3 + 43*o**2 + 8*o - 54. Let z(n) = -635*n**3 - 22*n**2 - 5*n + 24. Let h(c) = 4*x(c) + 9*z(c). What is the third derivative of h(q) wrt q?
-3834
Suppose -3*s = -4*o - 224 + 6, -o + 208 = 3*s. What is the second derivative of 15*w**3 - 79*w**3 - s - w + 52 wrt w?
-384*w
Differentiate -689 - 30143*x - 446 + 366*x**2 + 30146*x wrt x.
732*x + 3
Suppose 17 = 15*d - 28. Differentiate 3*g + 113 + g**3 - 94 - d*g - 5*g with respect to g.
3*g**2 - 5
Let l be 13/3 + (-18)/54. Suppose 0 = 5*t - l*t. Differentiate 8 + t + 0*u + 8*u - 6*u wrt u.
2
Let b = -32 - -35. Let q(i) = -5*i - 3 + 1 + 6 + 1518*i**b - 1524*i**3. Let r(y) = -y**3 - y. Let w(v) = q(v) - 5*r(v). Differentiate w(m) with respect to m.
-3*m**2
Find the third derivative of 11660*z**2 + 312*z**4 + 294*z**4 + 17*z**5 - z**3 - 580*z**4 - 6*z**5 wrt z.
660*z**2 + 624*z - 6
Let d be 5/(-120)*4*(-33)/12. Let g(k) be the third derivative of -6*k**2 - d*k**4 + 0*k - 8/3*k**3 + 0. Differentiate g(l) wrt l.
-11
Suppose 131*r = 130*r - k + 158, -134 = -r + 5*k. Find the second derivative of -703*q**5 + 636*q**5 - r*q + 2*q**4 + 0*q**4 wrt q.
-1340*q**3 + 24*q**2
Suppose -8 = -4*d + 40. Let p = -8 + d. Find the second derivative of -3*y**4 + 7*y + 7*y**p + y**4 + 4*y**4 wrt y.
108*y**2
What is the derivative of 2*r**2 + 347 + 3015*r - 2176*r + 117 wrt r?
4*r + 839
Let a(c) be the first derivative of 12*c**3 - 11*c - 33 + 16 + c + 24*c**3 + 25. What is the derivative of a(m) wrt m?
216*m
Let x(n) = -7*n**3 + 3124*n**2 + 1360*n - 4. Let j(l) = 3*l**3 - 1563*l**2 - 679*l + 2. Let d(c) = -5*j(c) - 2*x(c). Find the second derivative of d(g) wrt g.
-6*g + 3134
Suppose 3*a + 471 = -456. Let j = -131 - a. Differentiate 7 - j*y**4 + 161*y**4 - 3 with respect to y.
-68*y**3
Suppose -12 = -8*i + 5*i. Let b(x) be the first derivative of -9 - 5*x - i*x**3 + 37*x - 21*x. Differentiate b(m) wrt m.
-24*m
Differentiate -666 - 404*m**3 + 1300 - 298*m**3 + 1132 with respect to m.
-2106*m**2
Let b be (68/42)/((-36)/ | {
"pile_set_name": "DM Mathematics"
} |
ascending order.
w, 2, 4, 35
Let l = 5 - 3. Let n = -1.87 + 0.67. Let o = 3.8 - n. Sort -3/5, l, o.
-3/5, l, o
Let h = -5.9 - -6. Let y = -1.1 + h. Let w = 1 + 12. Sort 4, y, w in increasing order.
y, 4, w
Let v = 4227.069 + -4221. Let k = v + -0.069. Put k, -2, 2/5 in ascending order.
-2, 2/5, k
Let l = -677.4 - -677. Sort 0.03, -4, l, -0.5.
-4, -0.5, l, 0.03
Suppose -y + 5 = 7. Let a = -420 - -419.8. Sort y, 7, a in decreasing order.
7, a, y
Let o be (-3)/(-12)*(1 - (6 + -2)). Sort o, 11, 4, -0.1.
o, -0.1, 4, 11
Let p be (-6)/28 - 4/14. Let r = -163 + 159. Put p, r, 12 in increasing order.
r, p, 12
Let b = 0.07 - 0.09. Let w(d) = d + 1. Let v be w(-3). Put v, -0.4, b in ascending order.
v, -0.4, b
Suppose -5*u + 10*u - 55 = -5*x, 4*u + 5*x - 47 = 0. Suppose 0 = -3*o - o - u. Put -5, o, 5 in decreasing order.
5, o, -5
Suppose 0 = -3*n + 2*o + 4, -3 = 5*n + 4*o + 5. Let h(p) = 3*p - 34. Let w be h(9). Put 1, w, n in ascending order.
w, n, 1
Let k = -1.7 + 1.89. Let w = -0.29 + k. Put w, -2, -5/4 in descending order.
w, -5/4, -2
Let p be (8*2/(-460))/((-18)/(-15)). Put 3, -2/5, p in descending order.
3, p, -2/5
Suppose 4*d - w = -0*d + 4, 0 = 3*d - 2*w - 3. Suppose f + 5*o = 13, -5*f - o - 3*o + 2 = 0. Put f, -1, 16, d in decreasing order.
16, d, -1, f
Suppose -80 = 5*w + 5*k + 35, -2*k = 4*w + 94. Let f be 0 - (-2 - -34)/(-2). Let j = w + f. Put j, 3, 1 in descending order.
3, 1, j
Let z = 45344375/15656 - 165067/57. Let o = -2/309 + z. Put -1/4, o, 0 in ascending order.
-1/4, 0, o
Suppose 8*b - 25 = 3*b. Let n = 3 - -5. Suppose 3*w - n = -2. Put -2, b, w in decreasing order.
b, w, -2
Let x = 31 - 33. Let r = -62.95 - -54. Let j = 9 + r. Put -3/8, x, j in ascending order.
x, -3/8, j
Suppose -33 = -2*u + 95. Let g = u - 125/2. Let m = -4.32 + 0.32. Put g, -1, m in descending order.
g, -1, m
Let l be -4*(20/8)/(-5). Let r(s) = -3*s**2 - 3 + 3*s**l + 4 + 5*s**2. Let j be r(-1). Sort j, 2, 0.2 in descending order.
j, 2, 0.2
Let b be (-332)/108 + -1 - -4. Put -1/4, -0.1, b, 3 in descending order.
3, b, -0.1, -1/4
Suppose 0*x = 3*z - x - 8, 0 = -2*z + 5*x + 14. Suppose -6*h + h = -g - 21, 2*h + z*g = 6. Sort h, -3, 2 in descending order.
h, 2, -3
Let n = 366 - 362. Put -3, n, 3, 13 in decreasing order.
13, n, 3, -3
Let r = -4 - -3. Let q = -37 - -37.33. Let l = q - 0.33. Put 5, l, r in descending order.
5, l, r
Let f(x) = -x**3 + 3*x**2 + 3*x - 4. Let q be f(1). Put q, -3, -111 in decreasing order.
q, -3, -111
Suppose 0*w + 3*w = -0*w. Sort w, -3, 2, 5/6.
-3, w, 5/6, 2
Let b(r) = r + 3. Let k be b(2). Sort -2, k, -26 in decreasing order.
k, -2, -26
Suppose 0 = q - 9 - 5. Let l = -18 + q. Suppose 2 = -17*v + 15*v. Sort 0, l, v in decreasing order.
0, v, l
Let m be 4*((-150)/12 - -5). Let j be 12/m - (1 + 3/5). Suppose 0 = 2*i - i - 3. Put j, i, 2 in ascending order.
j, 2, i
Let t = -1.58 - -0.73. Let x = -0.65 - t. Sort 1, 2, 0.4, x in decreasing order.
2, 1, 0.4, x
Suppose x - 150 = -4*x. Let j = x - 32. Sort -5, j, 9, 0 in ascending order.
-5, j, 0, 9
Let m = 2257/7 - 323. Put m, -12, 5 in descending order.
5, m, -12
Let h(p) = p**3 + 10*p**2 - p - 6. Let d be h(-10). Suppose 0 = 5*b - 5*m - 15, d*b = b - 3*m + 9. Let k be (17 - (-711)/(-45))*(-20)/6. Sort k, b, 0.
k, 0, b
Let b(w) = w**2 - w - 16. Let z be b(4). Let u = -49 - -53. Sort z, u, -1, -2/5 in descending order.
u, -2/5, -1, z
Suppose 0 = -0*f + 3*f - 6, -4*k - 2*f = -24. Suppose 0 = -2*b + d - 10, 3*b - 4*d + 5 + k = 0. Let a = 2 + b. Sort a, -1, 0 in decreasing order.
0, -1, a
Let i = -1 + 20. Let p = i + -19. Put 1, 13, -5, p in ascending order.
-5, p, 1, 13
Let l be 4/3 + 2/3. Sort -1, 7, l in decreasing order.
7, l, -1
Suppose 5*n = -4*u - 427, n + 437 = -4*u + 6*n. Let m be 4/18 - 300/u. Sort -13, 5, m in ascending order.
-13, m, 5
Suppose -7*r = -2*r - 5. Sort r, -5, 20 in descending order.
20, r, -5
Let g = 396.5 - 396. Put g, -5, 1, -2 in ascending order.
-5, -2, g, 1
Let x(j) = -2*j**2 - 7*j + 6. Let n be x(1). Suppose a - 10 = 2*l - 4, 0 = -5*l - 4*a - 2. Sort 2, n, -8, l in descending order.
2, l, n, -8
Let d = 25 - 29. Sort 3, -5, d, -6 in decreasing order.
3, d, -5, -6
Suppose 0 = 2*p - 3*p + 3. Suppose p*m = -5*a - 30, -4*a + 4*m = 2*m + 24. Let v be (a/(-4))/((-9)/(-18)). Sort -3, -1, v.
-3, -1, v
Let n(p) = 21*p + 19. Let b be n(-1). Let r = 6 - 3. Sort r, 5, b in decreasing order.
5, r, b
Let z = 274 + -274. Sort 55, 2, z in decreasing order.
55, 2, z
Let j(m) = -2*m - 15. Let y be j(-13). Let i(v) = -v**2 + 8*v + 3. Let x be i(8). Put x, y, -1 in ascending order.
-1, x, y
Let h = -9/14 - -15/14. Sort 0.4, h, -12 in descending order.
h, 0.4, -12
Suppose 2*h = 3*h. Suppose -5 = a - h. Suppose 6*f = 14*f + 32. Sort f, a, 1 in increasing order.
a, f, 1
Suppose 19*p - 3*p = 160. Sort -3, -1, 1, p.
-3, -1, 1, p
Let s = 0.48 + -0.2. Put 0.1, 1, s in descending order.
1, s, 0.1
Let t be (1/(-6))/(2/4). Let a = -23.6 - -23.7. Put -0.2, 1/4, a, t in increasing order.
t, -0.2, a, 1/4
Let r = -513.2 + 513. Put -0.4, -5, r in increasing order.
-5, -0.4, r
Suppose 5*n - i = 0, i + 3 = -2*n + 2*i. Let c be n/(-2) + (-49)/14. Let v be (-12)/(-9) - 5/15. Put v, c, 5 in decreasing order.
5, v, c
Let m = -24.9 - -25.9. Put -2.7, m, 1/3 in ascending order.
-2.7, 1/3, m
Let h = 1 + -0.8. Let t = -9.1 + 8.8. Put h, -1, t in decreasing order.
h, t, -1
Suppose 11*w = -0*w + 55. Sort -40, 3, w in increasing order.
-40, 3, w
Let z = -977/13 - -75. Let m = 57 + -288/5. Sort -3/2, m, z.
-3/2, m, z
Let j = 499/4 - 125. Let x = -44 - -43.5. Sort 0.2, j, 0.1, x in descending order.
0.2, 0.1, j, x
Let n = -11.6 - -12. Put n, 8, -2, -5 in decreasing order.
8, n, -2, -5
Let c be (-5 - (7 + -65)) + -6 + -1. Sort 1, c, -18.
-18, 1, c
Let h be (-51)/(-57) + (-1 - 0). Let a = -14.4 - -13. Let i = -1.5 - a. Put -3/7, i, h in descending order.
i, h, -3/7
Let j(n) = 38*n - 105. Let l be j(3). Let t(h) = -h**3 - 5*h**2 + 7*h + 2. Let s be t(-6). Sort s, l, 5 in increasing order.
s, 5, l
Let k(b) = 3*b**3 - b**2 - 4*b + 3. Let r be k(2). Let h(m) = -5*m**2 + 1. Let o be h(1). Put -1, r, o, 2 in ascending order.
o, -1, 2, r
Let q be 2*(2 + -12) - 6/2. Sort -2, -1, 1, q in increasing order.
q, -2, -1, 1
Let l(i) = i. Let g be l(4). Let y be 2 + (-72)/(-8) + -4. Put g, y, 5 in descending order.
y, 5, g
Let p = -23.5 - -24.2. Let g = -5 - -3.8. Let y = p + g. Put -3, y, 0.05 in decreasing order.
0.05, y, -3
Let p(l) = -l + 2. Let w be p(7). Let u be 1/4 + (-793)/52. Let i = u + 13. Put -1, w, i in increasing order.
w, i, -1
Let v = 21.91 + -22. Let f be 6/5 - 16872/12210. Put v, 1, f in descending order.
1, v, f
Let z = 399 + -403. Sort -0.11, z, -5.
-5, z, -0.11
Let m be 6/10 - 0/(-1). Let o = -14 - -13.5. Put m, o, 0, -3 in decreasing order.
m, 0, o, -3
Let x = 5.4 - -27.6. Let r = x - 27. Sort 1, r, 5/2 in descending order.
r, 5/2, 1
Let d = 577 + -584. Put d, -10, -4, -2 in ascending order.
-10, d, -4, -2
Let c = 127.2 + -127. Let f = -2 - -2.4. Put -4, -0.4, f, c in increasing order.
-4, -0.4, c, f
Suppose -8*v = -3*v + 3*i, 2*v - 5*i = 31. Suppose 6 = v*p + 4*x, 0 = -4*p + x + 6 - 17. Let r be 6/1 - 6/p. Put -4, r, 1 in increasing order.
-4, 1, r
Let f be (-4)/14 + 0 + 0. Let h be 41/5 + 12/(-60). Let w be (-2)/(-10) - 3*h/(-30). Sort w, f, 6 in descending order.
6, w, f
Let x = 987 - 983. Sort x, -1, -39, 1 in descending order.
x, 1, -1, -39
Suppose -3*d = 4*k - 31, -3*d + 25 = -2*d + 5*k. Let h = 14 - d. Sort 3, h, 2, 1 in descending order.
h, 3, 2, 1
Let y = 188/3 + -62. Let p = 0.5 - 0.4. Let c = p + -1.1. Put 0, c, y in increasing order.
c, 0, y
Suppose -4*d = 5*l - 2*l + 14, -3*l + 1 = d. Let u = -6.3 + 11.3. Put u, -3/2, 4, l in decreasing order.
u, 4, l, -3/2
Let b = -381 - -381.5. Put 9, -0.4, b, 3/4 in descending order.
9, 3/4, b, -0.4
Let p be 2*(2 + -3) + 0. Let u be (-8)/p - 0/(-4). Put u, -3, -1 in increasing order.
-3, -1, u
Let w = -0.384 + 0.384. Sort -24, -1/6, w, 2.
-24, -1/6, w, 2
Let o = -0.71 - -3.61. Let r = o + -3.9. Let v = -11 + 6. Sort 0.2, v, r in decreasing order.
0.2, r, v
Let f(z) = -z**2 + 1. Let a(p) = 7*p**2 - 5*p - 8. Let d(q) = -a(q) - 6*f(q). Let u be d(6). Suppose 12*j - 45 = 3. Sort j, u, 5.
u, j, 5
Suppose -5*h - 5*p = -6*h + 22, 2*h - 5*p = 19. Put h, 10, 1 in des | {
"pile_set_name": "DM Mathematics"
} |
is positive.
h**(571/14)
Simplify s**(-4)/s**(2/9)*((s*s**(2/3)/s)/s)**(-1/29) assuming s is positive.
s**(-1099/261)
Simplify ((q/(q**(-3)*q))/((q/(q/(q*q**6)))/q))/(q**(4/7)*q/q**(-3)) assuming q is positive.
q**(-53/7)
Simplify (i**(-3)/(i*(i*i*i/i**(1/3)*i*i)/i))/((i*i**(-1/10))/i**(3/4)) assuming i is positive.
i**(-469/60)
Simplify ((((y*y*((y*y*y/((y/y**(1/15)*y)/y)*y*y)/y*y)/y*y*y)/y)/y*y)**(-9/7))**(-6/25) assuming y is positive.
y**(234/125)
Simplify v*v**16*((v/(v/v**(-13/4)))/v)/v assuming v is positive.
v**(47/4)
Simplify ((z**(-1/3))**(-36))**49 assuming z is positive.
z**588
Simplify (((c*c**2*c)/c)/c**(-1/5))**22 assuming c is positive.
c**(352/5)
Simplify ((((i*i*i**3*i)/i)/i)/i)**(-1/19) assuming i is positive.
i**(-3/19)
Simplify (n*(n*(n**10/n)/n*n)/n)/n**(3/10) assuming n is positive.
n**(97/10)
Simplify (o**(-2/43)/(o**(-11)/o*o))**(-32) assuming o is positive.
o**(-15072/43)
Simplify t/t**(1/2)*t*t**(-19)*t*t assuming t is positive.
t**(-31/2)
Simplify (w*w**(-1/2)*w)**(-1/3)*w/((w*w/w**(-1/7))/w*w)*w**(5/3) assuming w is positive.
w**(1/42)
Simplify j*j**(2/3)*j*(j*j**(2/9))/j assuming j is positive.
j**(26/9)
Simplify (v**(3/5)/v**(2/5))/(v/v**0)**(2/7) assuming v is positive.
v**(-3/35)
Simplify (w**(-6)*w*w*w**4)**(-7/13) assuming w is positive.
1
Simplify (w**(-1/34))**(-28) assuming w is positive.
w**(14/17)
Simplify g**20/(((g*g**19*g)/g)/g) assuming g is positive.
g
Simplify v*v/(v/(v/v**(-3/2)))*v**(-2)/v*(v**(1/3)/v)**(-5/4) assuming v is positive.
v**(4/3)
Simplify (j/(j*j**(2/5)))**(-33)/(((j*(j*j**(1/5))/j)/j)/(j**0*j)) assuming j is positive.
j**14
Simplify ((s/(s/(s/(((s/(s*s**6*s*s*s)*s)/s)/s))))/(s*s/s**(1/11)*s))/(((s**(-2/3)/s)/s)/(s*s**5)) assuming s is positive.
s**(553/33)
Simplify ((a*a**(-2))**(-17/6))**(-8) assuming a is positive.
a**(-68/3)
Simplify ((p/p**(5/3))/(p*p*p/((p**(-5/2)/p)/p)*p))**(2/21) assuming p is positive.
p**(-55/63)
Simplify (b/b**(-17)*b)**(11/6) assuming b is positive.
b**(209/6)
Simplify d**(-2/31)*d/d**(-3/8) assuming d is positive.
d**(325/248)
Simplify ((u*u*u**(-1/3)*u)**(-20))**(-4) assuming u is positive.
u**(640/3)
Simplify w/(w*w**(2/73)*w)*w*w**31 assuming w is positive.
w**(2261/73)
Simplify (d**4*d/(d**(-8)*d*d))**50 assuming d is positive.
d**550
Simplify (m*m/m**0)**(1/3) assuming m is positive.
m**(2/3)
Simplify i/i**26*i/((i*i**33)/i) assuming i is positive.
i**(-57)
Simplify ((l**(-1))**(-1/65))**(-39) assuming l is positive.
l**(-3/5)
Simplify ((g**(-1)*g)/g)**20/((g*g/(g/(g/((g/(g*(g**2*g*g*g)/g))/g*g))))/g)**(-42) assuming g is positive.
g**190
Simplify (a**1)**(-6/17)*(a/(a**(-1/4)*a))**7 assuming a is positive.
a**(95/68)
Simplify n/n**(3/4)*n*n*((n/n**6*n)/n)/n*n**(-3/5)/n**(-5) assuming n is positive.
n**(13/20)
Simplify ((d**(-5))**35)**(-20) assuming d is positive.
d**3500
Simplify (o**1*o)**(-9/2)/((o*o**(1/3))/o**(-1/7)) assuming o is positive.
o**(-220/21)
Simplify (n**(-4))**14 assuming n is positive.
n**(-56)
Simplify (j**(-2/3))**46/((j*j**(-7/4)/j)/(j*j**5)) assuming j is positive.
j**(-275/12)
Simplify ((i**(1/17)*i)/i)/i*i**(-27) assuming i is positive.
i**(-475/17)
Simplify u**(3/7)/(u*(((u/(u*u**(-19))*u)/u)/u*u)/u*u) assuming u is positive.
u**(-137/7)
Simplify d**(3/16)/(d*d*d**(-10)) assuming d is positive.
d**(131/16)
Simplify (m*m/((m*m**22)/m*m))/m**(-3) assuming m is positive.
m**(-18)
Simplify (s/(s*s/(s*(s**(-9)/s)/s)))/((s*s*s**(2/7)*s)/s)*((s**1*s)/s)**10 assuming s is positive.
s**(-23/7)
Simplify q*q*q/((q/q**4)/q)*q/(q**(12/7)*q) assuming q is positive.
q**(37/7)
Simplify (m*m/(m/((m/((m/m**(-2/7))/m))/m*m)))/((m*m**(-1/5)*m)/m*m*m)*(m/m**(2/7))**(-27) assuming m is positive.
m**(-713/35)
Simplify l**9*l*l**11 assuming l is positive.
l**21
Simplify z**(-1/3)*z*z**(3/2)*(z/(z/(z**(1/2)/z)))/(z*z/z**(-6)) assuming z is positive.
z**(-19/3)
Simplify w**5/w**(-3)*(w*w**(1/3))/w*w/((w*w**1)/w*w) assuming w is positive.
w**(22/3)
Simplify z**16*z*z/(z*z**(1/2)*z*z) assuming z is positive.
z**(29/2)
Simplify f**16/((f**21/f)/f*f) assuming f is positive.
f**(-4)
Simplify (l**(1/4))**(-4/29)*l**(4/3)*l*l**(2/13) assuming l is positive.
l**(2774/1131)
Simplify (g**(-2/7))**(-3/11)/(g/(g**3*g*g))**(1/53) assuming g is positive.
g**(626/4081)
Simplify ((t*t**(1/2)*t*t*t)/t)**(-18/13)/(t*t**(-2)*t)**(-40) assuming t is positive.
t**(-63/13)
Simplify (p/p**(-1/6)*(p/p**(4/3))/p)**(-1/32) assuming p is positive.
p**(1/192)
Simplify r/(r/(r/(r*r**(-2/61))))*((r*r**(6/13))/r)/r assuming r is positive.
r**(-401/793)
Simplify b**(-7)/b**(6/7) assuming b is positive.
b**(-55/7)
Simplify (g**(2/5)*g**5*g)**(-8) assuming g is positive.
g**(-256/5)
Simplify (f**(-6/11)/((f/(f**(-2/5)*f))/f*f*f))/(f**(-1)*f*f**(-2/5)) assuming f is positive.
f**(-17/11)
Simplify (g*g/g**(-18)*g*g)**33 assuming g is positive.
g**726
Simplify (n*n*n**(-2/21))/(n**(1/6)*n*n) assuming n is positive.
n**(-11/42)
Simplify (i*i**8*i)**(2/27) assuming i is positive.
i**(20/27)
Simplify ((b**(-1/5)*b)**(-46))**(8/5) assuming b is positive.
b**(-1472/25)
Simplify ((w**(-1/4)/w)**(1/19))**45 assuming w is positive.
w**(-225/76)
Simplify ((z**(-1)/z)/z)**36/(z/(z**(-1/8)*z)*(z*z*z**(-1/2)*z*z)/z) assuming z is positive.
z**(-885/8)
Simplify ((s*s/s**(-2/7))**(-2/49))**(7/2) assuming s is positive.
s**(-16/49)
Simplify ((y*y/(y/(y*y**(1/43))*y)*y*y)/((y*y**(-1/34))/y))**(-17) assuming y is positive.
y**(-4463/86)
Simplify (t**5*t)**(7/5) assuming t is positive.
t**(42/5)
Simplify o**23*o**(-18) assuming o is positive.
o**5
Simplify (v**15/v*v)/(v*v*v**10) assuming v is positive.
v**3
Simplify (x**(-4)*x**(-2/3))/((x*x/(x*x*x**(2/13))*x)/(x*(x/(x/x**(1/5)))/x*x)) assuming x is positive.
x**(-841/195)
Simplify (y/(y**(-1/11)/y))/y*y**(-4)*y**5*y**(1/8) assuming y is positive.
y**(195/88)
Simplify (f*f**34*f)**(-13/3) assuming f is positive.
f**(-156)
Simplify ((k*k/((k**(-5)*k)/k))/k*k)**3 assuming k is positive.
k**21
Simplify (o**(-1/12)/o)**(2/11) assuming o is positive.
o**(-13/66)
Simplify (a*a/a**(-2/5)*a/a**4)/(((a**8/a)/a)/(a/a**(-1/2))) assuming a is positive.
a**(-51/10)
Simplify (s/s**(3/14)*s**12)**(-3) assuming s is positive.
s**(-537/14)
Simplify (((v*v*v**(-2/17)/v)/v)**(-2/11))**34 assuming v is positive.
v**(8/11)
Simplify (p**(-21))**9 assuming p is positive.
p**(-189)
Simplify g**1*g*g**(2/9)/g*((g/(g**(2/5)/g*g))/g)**31 assuming g is positive.
g**(-503/45)
Simplify x**(-5)/(x**(-4)/x)*(x**(2/3)*x*x)/(x**(-1)/x) assuming x is positive.
x**(14/3)
Simplify ((k**(2/7))**(-1))**(-6/17) assuming k is positive.
k**(12/119)
Simplify (j/(j**(-41/3)*j))/(j**(-16)/j*j) assuming j is positive.
j**(89/3)
Simplify (l**(2/3))**(-1)/(l*l*l**(2/11)/l*l)**(-15/11) assuming l is positive.
l**(838/363)
Simplify a/a**(1/17)*a/a**(-20) assuming a is positive.
a**(373/17)
Simplify (f**25*f)/f*f*f/(f**(-2)*f) assuming f is positive.
f**28
Simplify (d**(2/3)*d/(d*d/((d**(-2)*d)/d)))**(-17) assuming d is positive.
d**(119/3)
Simplify ((((x*(x*x*(x/((x/(x/(x*x/((x/(x*x*x*x**(-2)/x))/x))))/x))/x)/x)/x*x*x)/x)/(x*x*x*x**(3/7)))**(-1/10) assuming x is positive.
x**(17/70)
Simplify (s**3/(s*s**8))/(s*(s/(s*(s**(-1/5)*s*s)/s*s))/s)**(-43) assuming s is positive.
s**(-417/5)
Simplify (l**(-2/7))**(11/4)/((l/(l/l**(-5)*l))/(l*l**(-5))) assuming l is positive.
l**(17/14)
Simplify (n*n**(1/3))**(-15/2) assuming n is positive.
n**(-10)
Simplify t**(-2)/(t*t/((t*t**(2/3)*t)/t))*(t/(t*t/(t*t/t**(-1))))**(4/5) assuming t is positive.
t**(-11/15)
Simplify (m**(8/3)*m)/((m/(m**1*m*m))/m) assuming m is positive.
m**(20/3)
Simplify (k**(2/3)*k**(-1/3))**(-42) assuming k is positive.
k**(-14)
Simplify ((i*i/i**(-14))/i)/i*i/i**(-2/19) assuming i is positive.
i**(287/19)
Simplify (u**(-2/5)/u*u)**(2/97) assuming u is positive.
u**(-4/485)
Simplify (n**(2/3)*n*n*n**(3/16)/n)**(-2/23) assuming n is positive.
n**(-89/552)
Simplify z/(z/((z*z/z**(-6))/z)*z)*z/(z*z**(-1/5))*z*(z/((z/(z/z**(-4)))/z))/z*z**(-5)*z assuming z is positive.
z**(41/5)
Simplify (p/(p/(p*p**(-25))*p))/(p*p**(6/11)) assuming p is positive.
p**(-292/11)
Simplify h**(-32)/(h/((h/((h**(-9/2)/h)/h)*h)/h)) assuming h is positive.
h**(-51/2)
Simplify (k**(-3/2)/k*k)**48 assuming k is positive.
k**(-72)
Simplify (g*(g**1*g*g)/g*g)**(-49)* | {
"pile_set_name": "DM Mathematics"
} |
1952216
What is the common denominator of -31/8 and 131/23372736?
23372736
Calculate the lowest common multiple of 12680 and 2256.
3575760
Calculate the common denominator of -109/80111460 and 133/186.
2483455260
Find the common denominator of 61/13332915 and -52/27.
39998745
What is the least common multiple of 1004247 and 1450579?
13055211
What is the common denominator of 1/1656 and 47/70474760?
634272840
Calculate the lowest common multiple of 3276 and 73695.
80474940
Calculate the least common multiple of 136 and 1047776.
17812192
What is the smallest common multiple of 5481336 and 7350?
137033400
Calculate the least common multiple of 418010 and 4723513.
47235130
What is the common denominator of 101/6714 and -19/517782?
579398058
Calculate the lowest common multiple of 656 and 310698.
2485584
What is the lowest common multiple of 8 and 12664234?
50656936
Find the common denominator of 11/2786292 and -95/309588.
2786292
Calculate the lowest common multiple of 1949058 and 18.
1949058
Calculate the common denominator of -23/17402985 and 123/170.
34805970
Calculate the smallest common multiple of 23370 and 744724.
11170860
Find the common denominator of 53/4 and 7/8837438.
17674876
Find the common denominator of -11/364983120 and -39/160.
729966240
Calculate the common denominator of 197/2040 and -139/4026390.
273794520
What is the lowest common multiple of 67599810 and 45066540?
135199620
What is the smallest common multiple of 660 and 278070?
6117540
What is the common denominator of -26/735747 and 73/28448884?
85346652
Calculate the common denominator of -57/80 and 137/1087800.
2175600
Find the common denominator of 7/1914 and -53/76525722.
841782942
Calculate the common denominator of -109/386130 and 11/2638555.
15831330
Calculate the common denominator of 43/1351281 and 40/12161529.
12161529
What is the common denominator of 121/219500 and -29/169500?
74410500
Calculate the lowest common multiple of 2070020 and 5692555.
22770220
What is the common denominator of 83/36218 and 1/209209?
83265182
What is the common denominator of 1/26010 and 37/217448802?
1087244010
Find the common denominator of 37/2256 and 51/38941192.
233647152
Calculate the common denominator of 48/680105 and 47/133028538.
665142690
Calculate the least common multiple of 26594 and 318.
4228446
Find the common denominator of 56/194577 and -4/73069.
17317353
Find the common denominator of 94/3213 and 32/29558529.
88675587
What is the least common multiple of 854226 and 891?
9396486
What is the lowest common multiple of 9 and 30605501?
275449509
Calculate the least common multiple of 775215 and 2104155.
14729085
What is the common denominator of 23/112 and 119/20161872?
141133104
What is the smallest common multiple of 3681540 and 2249830?
40496940
Calculate the lowest common multiple of 10584 and 362502.
1450008
What is the smallest common multiple of 6258 and 39298?
17566206
What is the lowest common multiple of 3076156 and 426?
655221228
Calculate the least common multiple of 118146 and 9612.
189269892
What is the common denominator of 32/69 and 19/1258362?
28942326
What is the least common multiple of 216 and 65110656?
585995904
Calculate the common denominator of -163/70899660 and -191/21060.
638096940
Find the common denominator of 21/704 and 21/22847176.
182777408
What is the common denominator of 173/11088 and 113/38808?
77616
What is the common denominator of -33/766702 and -59/124?
47535524
Find the common denominator of -1/95571630 and -151/7722.
1242431190
Calculate the smallest common multiple of 1859542 and 40134.
5578626
What is the smallest common multiple of 226210 and 990?
22394790
What is the common denominator of 13/4968 and 91/2605440?
23448960
Calculate the lowest common multiple of 281242176 and 96.
281242176
What is the least common multiple of 28336 and 11483164?
45932656
What is the lowest common multiple of 385 and 721479?
25251765
What is the least common multiple of 6 and 2611002?
2611002
What is the common denominator of -1/3045003 and 17/31135?
15225015
What is the smallest common multiple of 2112 and 8387280?
33549120
What is the lowest common multiple of 11584960 and 240?
34754880
What is the smallest common multiple of 1210 and 101565?
24578730
Calculate the smallest common multiple of 8973542 and 64.
287153344
Calculate the common denominator of -11/1974 and -59/54890.
54176430
What is the common denominator of -11/1340 and 83/44610?
5977740
Calculate the lowest common multiple of 618633 and 245803512.
737410536
What is the common denominator of -4/1861203 and 49/123?
76309323
Calculate the lowest common multiple of 500642 and 610.
152695810
What is the common denominator of -27/5530 and -41/14277354?
71386770
What is the common denominator of 17/1440 and -97/3384315?
108298080
What is the common denominator of 1/4 and 89/32148436?
32148436
What is the common denominator of -103/488160 and -23/55935?
5369760
What is the common denominator of 47/3 and -31/9021963?
9021963
Find the common denominator of 69/4340 and -58/6852085.
191858380
What is the lowest common multiple of 39070 and 47997495?
95994990
Find the common denominator of -31/9407715 and 47/1217469.
103484865
What is the smallest common multiple of 130515 and 1845855?
12920985
What is the lowest common multiple of 121 and 6009718?
66106898
What is the common denominator of -8/3789 and -47/7464330?
7464330
What is the common denominator of 8/270799767 and 62/707049?
270799767
Calculate the least common multiple of 4608 and 1536.
4608
Find the common denominator of 43/359548 and -45/9271202.
129796828
Find the common denominator of 103/156128 and -3/560.
780640
Calculate the common denominator of -29/254584 and 103/13068.
6873768
What is the lowest common multiple of 5264176 and 9344?
42113408
What is the common denominator of -34/186525 and 53/253674?
6341850
Calculate the common denominator of -7/6448068 and 31/8.
12896136
What is the common denominator of 48/133 and 19/9588152?
182174888
Calculate the common denominator of -11/4559077 and -103/2145448.
36472616
Calculate the lowest common multiple of 1525 and 8386463.
209661575
Calculate the common denominator of 16/6350823 and 23/2118.
12701646
Calculate the smallest common multiple of 34460 and 4169660.
4169660
What is the common denominator of 125/12 and 81/650956916?
1952870748
Calculate the common denominator of -47/9930 and -71/32100.
10625100
What is the smallest common multiple of 32508 and 251916?
97491492
Calculate the smallest common multiple of 45 and 5114725.
46032525
What is the common denominator of 79/2 and 95/51948286?
51948286
What is the common denominator of -109/38858436 and 83/7526634?
1670912748
Calculate the common denominator of 107/2748 and 125/634194.
290460852
What is the smallest common multiple of 84 and 31713724?
95141172
What is the common denominator of -28/27 and 95/2166978?
19502802
Calculate the smallest common multiple of 968120 and 54311532.
543115320
Calculate the common denominator of 107/4780384 and 40/72751469.
2328047008
Calculate the least common multiple of 440770 and 14104640.
14104640
Calculate the least common multiple of 193066 and 1429732.
52900084
Find the common denominator of 11/74750 and 99/32500.
747500
What is the lowest common multiple of 107675 and 5605?
2045825
What is the lowest common multiple of 2 and 10604712?
10604712
Find the common denominator of 77/8336088 and -155/792.
91696968
What is the common denominator of -1/419580888 and 77/139860296?
419580888
Find the common denominator of 101/4377708 and -53/21.
30643956
Calculate the smallest common multiple of 2039354 and 10196770.
10196770
What is the common denominator of 4/10365 and 19/40384113?
201920565
Calculate the least common multiple of 22 and 23564.
259204
Calculate the smallest common multiple of 2011 and 618.
1242798
Find the common denominator of 107/9580 and 17/2747065.
10988260
What is the lowest common multiple of 19656810 and 405?
58970430
What is the smallest common multiple of 688 and 30916?
5317552
What is the common denominator of 59/2980 and -35/27488?
20478560
What is the lowest common multiple of 66484 and 8756?
13230316
Calculate the least common multiple of 151322 and 15654.
453966
| {
"pile_set_name": "DM Mathematics"
} |
e the second derivative of -y**4/12 - y**3 - 3*y**2 + 2*y. Let w(z) = -2*z**2 - 11*z - 11. Calculate n*k(f) - 6*w(f).
f**2
Let q(o) = 2*o**2 - 2*o + 1. Suppose -d + 3*f = -6, 3*d = -3*f - 0*f - 18. Let j(t) = -t**2 + t - 1. Determine d*q(s) - 5*j(s).
-s**2 + s + 2
Let a(s) = -s**3 - 9*s**2 + 2*s - 2. Let j(q) = -6*q**3 - 45*q**2 + 11*q - 11. Let b be (-5)/((-715)/(-312)) - (-4)/22. Calculate b*j(k) + 11*a(k).
k**3 - 9*k**2
Let a(g) = 2*g + 2. Let q(y) = -y - 145. Give -3*a(z) - 3*q(z).
-3*z + 429
Let r(d) = d**3 - 6*d**2 + 7*d - 14*d + 3*d + d - 5*d**3. Let x(z) = -7*z**3 - 11*z**2 - 5*z. Let l be ((-6)/(-12))/(2/(-24)). Determine l*x(i) + 11*r(i).
-2*i**3 - 3*i
Let g = 297 - 291. Let o(t) = 4*t**2 + 10*t. Let s be (-3 - 0/(-4)) + -17. Let j(x) = x**2 + 3*x. What is g*o(k) + s*j(k)?
4*k**2
Let i(a) = -a + 2. Let o(b) = -238*b + 6. What is -4*i(t) + o(t)?
-234*t - 2
Let j(o) = 22010*o**3 + 1278*o. Let p(f) = -69*f**3 - 4*f. Calculate -2*j(z) - 639*p(z).
71*z**3
Let b(i) = 3*i + 3*i**2 - 2*i - 2*i**2. Let v(p) = -4*p + 31 + 10*p + 3*p**2 - 31. Determine 6*b(j) - v(j).
3*j**2
Let r(i) = 829*i**2 - 3*i - 24. Let t(n) = 276*n**2 - n - 9. Calculate 3*r(g) - 8*t(g).
279*g**2 - g
Let g(r) = -r + 1. Let v(m) = 114*m. Determine 2*g(i) + v(i).
112*i + 2
Let q(i) = 18*i**2 - 39*i + 6. Let a(y) = 22*y**2 - 38*y + 7. Give -4*a(l) + 5*q(l).
2*l**2 - 43*l + 2
Let g(y) = -3*y**2 - 9*y + 1. Let r(p) = -p**2 + 112*p - 5. Let w(u) = 21*u - 1. Let d(h) = 4*r(h) - 22*w(h). Give 5*d(n) - 8*g(n).
4*n**2 + 2*n + 2
Let g(t) = 1 + 8*t + 7*t**3 - 2 - 7 + t. Let w(d) = 15*d**3 + 19*d - 17. Calculate -13*g(p) + 6*w(p).
-p**3 - 3*p + 2
Let f(a) = -a**2 - 4*a - 4. Let x = 3 - 8. Let m(l) = 5*l**2 + 2*l + 2. Let y(b) = 14*b**2 + 7*b + 7. Let h(q) = -8*m(q) + 3*y(q). Give x*f(c) - 4*h(c).
-3*c**2
Let g(w) = -w. Let z(l) = 91*l. What is 26*g(k) - z(k)?
-117*k
Let q(h) = -h**3 + h**2 - 1. Let c(j) be the third derivative of j**6/24 - j**5/12 + 2*j**3/3 + 140*j**2. Determine 2*c(b) + 9*q(b).
b**3 - b**2 - 1
Let x(i) be the first derivative of -13*i**2/2 + 5*i + 2932. Let z(b) = -6*b + 2. Let j(f) = -f**3 + 3*f**2 + 6*f - 5. Let q be j(4). Determine q*x(y) - 7*z(y).
3*y + 1
Let b(o) = -2*o. Let f(g) = g - 6. Let r(c) = -c + 7. Let p(a) = -a - 2. Let x be p(5). Let z(n) = x*f(n) - 6*r(n). What is 4*b(v) - 5*z(v)?
-3*v
Let j(p) = 128*p + 7. Let d(r) = -254*r - 16. Give -3*d(l) - 7*j(l).
-134*l - 1
Let d(c) = 28*c**3 - 4*c**2 + 2*c - 2. Let a(g) = 4*g**3 - g**2 + g - 1. Determine -2*a(j) + d(j).
20*j**3 - 2*j**2
Let y(x) = 4*x**2 - 15*x - 1. Let s(z) = -z**2 + 2*z + 1. Let w(u) = -5*s(u) - y(u). Let q(b) = b**2 + 6*b - 5. Give 5*q(o) - 6*w(o).
-o**2 - 1
Suppose -2*l + 71 = -a - 3*l, a - 2*l + 65 = 0. Let o = a + 75. Let m(w) = -8*w**2 - 17*w + 17. Let h(t) = -t**2 - 2*t + 2. What is o*m(i) - 51*h(i)?
3*i**2
Suppose -6*s = -2*s - 360. Let d be 25/9 - 4*(-5)/s. Let o(k) = k**2 - k. Let t(f) = f**2 - 5*f + 1. Determine d*o(b) - t(b).
2*b**2 + 2*b - 1
Let p be (-6)/(8/((-176)/(-3))). Let j = p - -43. Let o(z) = -8*z**2 + z - 5. Let u(c) = -3 - c**2 + 3 + 3 - 4. Determine j*o(g) + 6*u(g).
2*g**2 - g - 1
Let v(m) = 20*m**3. Let z(t) = 17*t**3 + t. Calculate -5*v(h) + 6*z(h).
2*h**3 + 6*h
Let g(p) = p**2 - p - 1. Let z(i) = -i**3 + 6*i**2 - 2*i - 2. Let y be z(5). Let w = y - 9. Let q(u) = 5*u + u**2 - w*u - 4 - u. Calculate 2*g(j) - q(j).
j**2 - 2*j + 2
Let g(n) = -119*n. Let i(p) = -1310*p. Calculate 45*g(b) - 4*i(b).
-115*b
Let h(x) = -8*x - 23. Let y(n) = 357*n + 1037. What is -136*h(q) - 3*y(q)?
17*q + 17
Let m(u) = -15*u + 28. Let y be m(2). Let i(t) = 3*t**3 - 2*t**2 - 3*t - 3. Let j(h) = -h**2 + 3*h**3 + 0*h**3 - 2*h + 11 - 13. Calculate y*i(b) + 3*j(b).
3*b**3 + b**2
Let i(w) = 424*w**3 - 4*w**2 - 4*w + 8. Let c(t) = -2*t**3 - t**2 - t + 2. Calculate -4*c(a) + i(a).
432*a**3
Let u(r) = 11*r**2 - 178*r - 2. Let o(q) = 13*q**2 - 175*q - 3. What is 5*o(y) - 6*u(y)?
-y**2 + 193*y - 3
Let k(b) = 44*b - b**2 - 5*b - 39*b + 0*b**2. Let s(z) = -5*z**2. Give -2*k(w) + s(w).
-3*w**2
Let h(g) = 9*g**2 - 7*g + 7*g**2 + 11*g**3 - 22*g**2 + 12*g**2. Let w(x) = -x**3 - x**2 + x. Give -h(k) - 6*w(k).
-5*k**3 + k
Let g(o) = 14*o. Let c be -9*(-3 - -2) + -20. Let n(v) = -55*v. Give c*g(i) - 3*n(i).
11*i
Let i(w) = 2*w**2 - 3 - 3*w**2 - 19*w + 22*w. Let t(p) = 9 + 6*p**2 + 0 - 16*p + 7. What is -16*i(b) - 3*t(b)?
-2*b**2
Let k(s) = 7*s**3 + 3*s**2 + 2*s - 4. Let m(x) = 12*x**3 + 5*x**2 + 4*x - 7. Give -5*k(j) + 3*m(j).
j**3 + 2*j - 1
Let i(v) = -89*v + 27. Let t(r) = -90*r + 23. Give 5*i(f) - 6*t(f).
95*f - 3
Let r(m) = -5*m - 9. Let s(q) be the third derivative of q**4/24 + q**3/6 - 25*q**2 - 2. Determine r(l) + 3*s(l).
-2*l - 6
Let x(z) = -3*z + 4. Let f(t) = -3*t + 6. Determine 3*f(v) - 4*x(v).
3*v + 2
Let k(q) = 90*q**3 - 3*q**2 - 7*q. Let a(o) = 90*o**3 - 2*o**2 - 5*o. What is 3*a(t) - 2*k(t)?
90*t**3 - t
Let u(b) = -b**2 - 7*b + 2. Let a(v) = v - 1. Let l(h) = h**2 - 7*h + 6. Suppose 14 = -0*i + 4*i - 2*f, 5*i = -4*f + 37. Let z be l(i). Give z*a(p) - u(p).
p**2 + 3*p + 2
Let x(k) = k + 2. Let n(m) = 1063*m**3 - 5*m - 10. Determine n(d) + 5*x(d).
1063*d**3
Let h(m) = 207*m - 12*m**3 - 5*m**2 - 202*m + 0 + 0. Let r(c) = -11*c**3 - 4*c**2 + 4*c. Determine 4*h(x) - 5*r(x).
7*x**3
Let r(x) = -4*x**3 + 13*x**2 + 5*x + 10. Let p(g) = 2*g**3 - 6*g**2 - 3*g - 5. Determine -11*p(m) - 6*r(m).
2*m**3 - 12*m**2 + 3*m - 5
Let g(k) = 405*k**3 - 24. Let p(i) = 202*i**3 - 10. What is 2*g(v) - 5*p(v)?
-200*v**3 + 2
Let g(d) = -10*d**2 - d - 1. Let u(h) = -h**2 - h + 1. Calculate -g(q) + u(q).
9*q**2 + 2
Let x(d) = 6*d**3 - 3*d**2 - 3. Let n(a) = 23*a**3 - 6*a**2 - a**2 - 2*a**2 + 2123 - 2*a**2 - 2134. Calculate -6*n(v) + 22*x(v).
-6*v**3
Let l(c) = -c + 1. Let p(r) be the third derivative of 5/24*r**4 - 16*r**2 - r**3 + 0 + 0*r. Calculate -6*l(o) - p(o).
o
Let t(h) = -5*h + 4. Let w(r) be the first derivative of r**3/3 - 3*r**2/2 - 33*r - 23. Let i be w(7). Let z(y) = 4*y - 4. What is i*t(c) - 6*z(c)?
c + 4
Let k(r) = -52*r**3 + 32*r**2 + 32. Let g(s) be the first derivative of -2*s**4 + 5*s**3/3 + 5*s - 126. What is -32*g(d) + 5*k(d)?
-4*d**3
Let p(g) = -g + 5. Let w(n) = -6*n + 24. Suppose -22*x = 3 + 41. Give x*w(l) + 11*p(l).
l + 7
Let n(q) = 98*q**2 - 198*q**2 + 99*q**2 - 4 - 2*q. Let o(c) = -4*c**2 - 7*c - 13. Determine -7*n(v) + 2*o(v).
-v**2 + 2
Let b(r) = -2*r - 1. Let t(h) = 22*h. What is -3*b(n) - t(n)?
-16*n + 3
Let x(i) = 2*i**3 - 3*i**2 + 3. Suppose 3*f - 4*o - 29 = 0, -4 = 5*f + 4*o + 1. Let g(z) = -7*z**3 + z**f - 3 + 2 + 5*z**3 + z**2. What is -3*g(k) - x(k)?
k**3
Let k(v) = -14*v**2 - 9*v**2 - 14*v**2 + 1 - v + 43*v**2. Let t(p) = 5*p**2 - p. Determine -3*k(z) + 4*t(z).
2*z**2 - z - 3
Let t(z) = -11*z**2 - 2*z + 4. Let m(i) = -5*i**2 - i + 2. Suppose -15 + 18 = y + q, 4*y - 4*q = 28. Determine y*m(o) - 2*t(o).
-3*o**2 - o + 2
Let p(t) be the first derivative of -2*t**3/3 + t**2/2 + 6*t - 152. Let x(n) = 1. Let w be (2/(-4)*2)/(-1). What is w*p(d) - 6*x(d)?
-2*d**2 + d
Let l(a) = -a + 1. Let r(v) be the third derivative of -v**4/3 + 7*v**3/6 - 2*v**2 + 56. Determine -6*l(s) + r(s).
-2*s + 1
Let z(p) = -3*p - 44. Let j(s) = -2*s - 23. Calculate -11*j(x) + 6*z(x).
4*x - 11
Let i(z) = -1. Let j(g) = 18*g + 4. Let r(v) = 14*v + 4. Let f(o) = 3*j(o) - 4*r(o). Give f(n) - 2*i(n).
-2*n - 2
Let i(r) = 3094*r**3 + 7*r**2 - 7*r - 7. Let l(b) = 1031*b**3 + 2*b**2 - 2*b - 2. Give -2*i(k) + 7*l(k).
1029*k**3
Let r be (1 + 8)*6/9. Let p(t) = -t**2 - 1. Let h(b) = -1280*b + 2584*b - 7*b**2 - 6 - 1302*b. Determine r*p(k) - h(k).
k**2 - 2*k
Let t(p) = p - 3. Let w(d) = -4*d + 10. Suppose -3*s = -l + 17, 0*s + l - 13 = 2*s. Give s*w(r) - 14*t(r).
2*r + 2
Let f(g) be the first derivative of g**3 - 3*g**2 - 5*g - 29. Let t(n) = 4*n**2 - 7*n - 6. Determine -6*f(r) + 5*t(r).
2*r**2 + r
Let o(j) = 3*j - 32. Let w(y) = 12*y - 127. What is -9*o(b) + 2*w(b)?
-3*b + 34
Let u(k) = -16*k**3 - 2*k**2 - 2*k - 2. Suppose 39*c = 15 - 93. Let x(j) = -81*j**3 - 11*j**2 - 10*j - 11. Calculate c*x(p) + 11*u(p).
-14*p**3 - 2*p
Let u(j) be the third derivative of -j**4/8 - j**3/2 + 443*j**2. Let q(l) = -2*l - 1. Determine 10*q(d) - 6*u(d).
-2*d + 8
Let j(g) be the third derivative of -g**4/12 + 5*g**3/2 + 12*g**2. Let l be j(7) | {
"pile_set_name": "DM Mathematics"
} |
o - 3
What is the o'th term of -308, -621, -934?
-313*o + 5
What is the l'th term of -22, -19, -14, -7?
l**2 - 23
What is the v'th term of 186, 223, 258, 291, 322, 351?
-v**2 + 40*v + 147
What is the r'th term of 1, -17, -71, -179, -359?
-3*r**3 + 3*r + 1
What is the l'th term of -97, -183, -269, -355, -441, -527?
-86*l - 11
What is the s'th term of 1, -10, -31, -62, -103, -154?
-5*s**2 + 4*s + 2
What is the z'th term of -9, -57, -133, -237, -369, -529, -717?
-14*z**2 - 6*z + 11
What is the z'th term of 277, 283, 301, 337, 397, 487, 613, 781?
z**3 - z + 277
What is the d'th term of -4, -12, -16, -16?
2*d**2 - 14*d + 8
What is the l'th term of 58, 36, -12, -92, -210, -372?
-l**3 - 7*l**2 + 6*l + 60
What is the n'th term of -30, -37, -38, -39, -46, -65, -102?
-n**3 + 9*n**2 - 27*n - 11
What is the w'th term of 320, 329, 352, 395, 464, 565, 704, 887?
w**3 + w**2 - w + 319
What is the h'th term of -96, -87, -76, -63, -48?
h**2 + 6*h - 103
What is the z'th term of -683, -689, -691, -683, -659, -613, -539, -431?
z**3 - 4*z**2 - z - 679
What is the n'th term of 39, 64, 95, 138, 199?
n**3 - 3*n**2 + 27*n + 14
What is the j'th term of 1313, 1298, 1283, 1268?
-15*j + 1328
What is the n'th term of 5, 2, -5, -16, -31, -50, -73?
-2*n**2 + 3*n + 4
What is the l'th term of 5, 8, 13, 20, 29?
l**2 + 4
What is the q'th term of -559, -1104, -1649, -2194?
-545*q - 14
What is the a'th term of -5643, -5640, -5627, -5598, -5547, -5468?
a**3 - a**2 - a - 5642
What is the k'th term of 683, 1360, 2037, 2714?
677*k + 6
What is the j'th term of -58, -124, -194, -262, -322, -368, -394, -394?
j**3 - 8*j**2 - 49*j - 2
What is the o'th term of -15, -8, 11, 48, 109?
o**3 - 16
What is the h'th term of 15, 31, 47, 63, 79, 95?
16*h - 1
What is the t'th term of -608, -1176, -1736, -2282, -2808, -3308?
t**3 - 2*t**2 - 569*t - 38
What is the r'th term of -178, -1470, -4972, -11788, -23022, -39778, -63160?
-184*r**3 - r**2 - r + 8
What is the o'th term of -4568, -4564, -4560, -4556, -4552?
4*o - 4572
What is the y'th term of -13, -5, 45, 167, 391, 747, 1265, 1975?
5*y**3 - 9*y**2 - 9
What is the u'th term of -67, -133, -187, -223, -235, -217, -163?
u**3 - 73*u + 5
What is the u'th term of -926, -923, -918, -911, -902, -891?
u**2 - 927
What is the w'th term of -82, -140, -198, -256, -314?
-58*w - 24
What is the d'th term of -737, -732, -715, -680, -621, -532?
d**3 - 2*d - 736
What is the o'th term of 8, 7, 6, 5, 4?
-o + 9
What is the s'th term of 32, 51, 74, 101, 132, 167, 206?
2*s**2 + 13*s + 17
What is the r'th term of -3826, -3820, -3814, -3808?
6*r - 3832
What is the b'th term of -1472, -1474, -1476, -1478, -1480?
-2*b - 1470
What is the k'th term of -27, -51, -87, -141, -219?
-k**3 - 17*k - 9
What is the w'th term of -53, -55, -27, 55, 215, 477, 865?
4*w**3 - 9*w**2 - 3*w - 45
What is the u'th term of 67, 70, 83, 112, 163, 242, 355, 508?
u**3 - u**2 - u + 68
What is the x'th term of -77, -177, -313, -503, -765, -1117?
-3*x**3 - 79*x + 5
What is the m'th term of -312, -1265, -2856, -5085, -7952?
-319*m**2 + 4*m + 3
What is the a'th term of -12, -33, -66, -111?
-6*a**2 - 3*a - 3
What is the d'th term of -18, 3, 24, 45, 66, 87?
21*d - 39
What is the v'th term of -56, -115, -174, -233, -292?
-59*v + 3
What is the k'th term of 1889, 3708, 5515, 7304, 9069, 10804?
-k**3 + 1826*k + 64
What is the w'th term of -2, -5, 2, 25, 70, 143?
w**3 - w**2 - 7*w + 5
What is the q'th term of 2787, 2786, 2785?
-q + 2788
What is the c'th term of -9685, -19371, -29057, -38743, -48429, -58115?
-9686*c + 1
What is the w'th term of -1356, -1355, -1354?
w - 1357
What is the r'th term of 53, 41, 29, 17, 5, -7?
-12*r + 65
What is the y'th term of 770, 1561, 2352, 3143, 3934?
791*y - 21
What is the h'th term of 21, 26, 33, 42, 53?
h**2 + 2*h + 18
What is the h'th term of -2186, -2184, -2182, -2180?
2*h - 2188
What is the d'th term of 618, 622, 630, 642?
2*d**2 - 2*d + 618
What is the s'th term of 70, 139, 208, 277, 346?
69*s + 1
What is the k'th term of -1058, -1061, -1064, -1067?
-3*k - 1055
What is the v'th term of -4, -9, -18, -31, -48?
-2*v**2 + v - 3
What is the l'th term of 396, 412, 452, 528, 652, 836?
2*l**3 + 2*l + 392
What is the w'th term of 127, 255, 383, 511, 639, 767?
128*w - 1
What is the q'th term of 61, 57, 53?
-4*q + 65
What is the g'th term of -45, -37, -25, -9?
2*g**2 + 2*g - 49
What is the p'th term of -7, -53, -123, -211, -311?
p**3 - 18*p**2 + p + 9
What is the r'th term of 2, 10, 18, 26?
8*r - 6
What is the w'th term of -7, 20, 95, 242, 485, 848?
4*w**3 - w - 10
What is the p'th term of 716, 705, 692, 677, 660, 641?
-p**2 - 8*p + 725
What is the j'th term of -2, 2, 8, 16, 26?
j**2 + j - 4
What is the d'th term of 26, 74, 118, 152, 170, 166?
-d**3 + 4*d**2 + 43*d - 20
What is the w'th term of 310, 312, 314?
2*w + 308
What is the m'th term of -13, -19, -35, -67, -121, -203?
-m**3 + m**2 - 2*m - 11
What is the v'th term of 2980, 5954, 8928, 11902, 14876?
2974*v + 6
What is the c'th term of -5568, -11136, -16706, -22278, -27852, -33428, -39006?
-c**2 - 5565*c - 2
What is the g'th term of 20, 24, 28, 32, 36, 40?
4*g + 16
What is the a'th term of -527, -1114, -1689, -2246, -2779, -3282, -3749?
a**3 - 594*a + 66
What is the s'th term of 59, 118, 177, 236, 295, 354?
59*s
What is the a'th term of -1694, -6772, -15236, -27086?
-1693*a**2 + a - 2
What is the l'th term of -622, -1271, -1922, -2575?
-l**2 - 646*l + 25
What is the v'th term of -27, -38, -73, -144, -263, -442?
-2*v**3 + 3*v - 28
What is the m'th term of -73, -146, -219, -292, -365?
-73*m
What is the k'th term of -60, -40, 0, 66, 164?
k**3 + 4*k**2 + k - 66
What is the s'th term of 10837, 21676, 32515, 43354?
10839*s - 2
What is the q'th term of 31, 42, 61, 88, 123?
4*q**2 - q + 28
What is the r'th term of -7, -12, -15, -10, 9?
r**3 - 5*r**2 + 3*r - 6
What is the v'th term of 1232, 1201, 1158, 1097, 1012, 897, 746, 553?
-v**3 - 24*v + 1257
What is the v'th term of 176, 135, 94, 53, 12?
-41*v + 217
What is the n'th term of -133, -260, -387, -514, -641?
-127*n - 6
What is the q'th term of -19569, -19567, -19565, -19563, -19561?
2*q - 19571
What is the v'th term of 23, 65, 137, 245, 395, 593, 845?
v**3 + 9*v**2 + 8*v + 5
What is the d'th term of 68, 233, 514, 917, 1448, 2113, 2918, 3869?
d**3 + 52*d**2 + 2*d + 13
What is the u'th term of -455, -461, -477, -509, -563, -645, -761, -917?
-u**3 + u**2 - 2*u - 453
What is the v'th term of 4, 0, -4, -8?
-4*v + 8
What is the f'th term of 242, 228, 218, 224, 258, 332?
2*f**3 - 10*f**2 + 2*f + 248
What is the r'th term of 242, 993, 2242, 3983, 6210, 8917, 12098?
-r**3 + 255*r**2 - 7*r - 5
What is the s'th term of -20, -48, -74, -98, -120, -140?
s**2 - 31*s + 10
What is the c'th term of 75, 162, 251, 342, 435, 530?
c**2 + 84*c - 10
What is the y'th term of 62, 60, 58, 56?
-2*y + 64
What is the a'th term of -658, -664, -672, -682, -694, -708?
-a**2 - 3*a - 654
What is the p'th term of 560, 551, 532, 497, 440, 355, 236?
-p**3 + p**2 - 5*p + 565
What is the l'th term of -28, -50, -86, -142, -224, -338?
-l**3 - l**2 - 12*l - 14
What is the c'th term of 7716, 7710, 7694, 7662, 7608, 7526, 7410, 7254?
-c**3 + c**2 - 2*c + 7718
What is the w'th term of 23, 20, 17?
-3*w + 26
What is the p'th term of -440, -432, -424, -416?
8*p - 448
What is the f'th term of 0, 32, 100, 216, 392, 640?
2*f**3 + 6*f**2 - 8
What is the f'th term of -8, 10, 54, 136, 268, 462?
2*f**3 + f**2 + f - 12
What is the g'th term of -44, -101, -154, -203, -248, -289?
2*g**2 - 63*g + 17
What is the b'th term of 12, 11, 18, 39, 80?
b**3 - 2*b**2 - 2*b + 15
What is the f'th term of 136, 135, 132, 127, 120?
-f**2 + 2*f + 135
What is the w'th term of 1354, 1361, 1370, 1381, 1394, 1409?
w**2 + 4*w + 1349
What is the x'th term of 57, 114, 171, 228, 285, 342?
57*x
What is the f'th term of -449, -861, -1273, -1685?
-412*f - 37
What is the r'th term of -185, -756, -1701, -3014, -4689, -6720, -9101, -11826?
r**3 - 193*r**2 + r + 6
What is the m'th term of -5, 0, 19, 58, 123, 220?
m**3 + m**2 - 5*m - 2
What is the l'th term of -58, -247, -564, -1009?
-64*l**2 + 3*l + 3
What is the j'th term of 126, 142, 144, 126, 82, 6, -108?
-j**3 - j**2 + 26*j + 102
What is the q'th term of 3, 1, -11, -39, -89, -167, -279?
-q**3 + q**2 + 2*q + 1
What is the | {
"pile_set_name": "DM Mathematics"
} |
2.
1164
Find the common denominator of 139/396 and -187/360.
3960
What is the least common multiple of 16 and 466?
3728
Find the common denominator of -103/328 and -97/44.
3608
Find the common denominator of -103/56 and 83/4.
56
What is the common denominator of 54/175 and -143/1120?
5600
What is the smallest common multiple of 9 and 33?
99
What is the least common multiple of 8 and 640?
640
Find the common denominator of 32/33 and 71/93.
1023
Find the common denominator of -11/60 and -41/540.
540
What is the common denominator of 1/4572 and -73/27?
13716
Find the common denominator of -77/32 and -75/44.
352
Calculate the common denominator of -73/64 and 49/464.
1856
Calculate the least common multiple of 25 and 15.
75
Calculate the smallest common multiple of 72 and 243.
1944
Find the common denominator of -59/4870 and 35/4383.
43830
What is the smallest common multiple of 660 and 462?
4620
Calculate the common denominator of 39/2173 and -34/53.
2173
Calculate the common denominator of -23/968 and 61/7040.
77440
Calculate the smallest common multiple of 520 and 1170.
4680
Calculate the least common multiple of 1290 and 40.
5160
Find the common denominator of 59/52 and -61/156.
156
What is the lowest common multiple of 20 and 6?
60
What is the smallest common multiple of 22 and 110?
110
What is the smallest common multiple of 9 and 63?
63
Calculate the common denominator of 14/711 and 28/15.
3555
What is the common denominator of -89/110 and -3?
110
Find the common denominator of -59/238 and 35/2278.
15946
What is the smallest common multiple of 400 and 10?
400
What is the lowest common multiple of 512 and 4?
512
What is the smallest common multiple of 160 and 68?
2720
Find the common denominator of -16/21 and -73/180.
1260
What is the smallest common multiple of 18 and 156?
468
Calculate the common denominator of -119/80 and -57/6910.
55280
What is the common denominator of -1/1964 and 97/6?
5892
Calculate the common denominator of -5/54 and 19/54.
54
Calculate the common denominator of -57/52 and -21/13.
52
What is the least common multiple of 3508 and 32?
28064
Calculate the common denominator of 29/312 and 17/14.
2184
Calculate the common denominator of 81/20 and -51/874.
8740
Find the common denominator of -41/13294 and 145/6.
39882
What is the least common multiple of 8 and 462?
1848
Find the common denominator of -127/1980 and 127/60.
1980
Calculate the smallest common multiple of 45 and 27.
135
Calculate the lowest common multiple of 33 and 10.
330
What is the common denominator of -11/356 and -7/10?
1780
What is the lowest common multiple of 144 and 30?
720
Find the common denominator of 11/1764 and 73/36.
1764
Calculate the smallest common multiple of 205 and 369.
1845
What is the least common multiple of 20 and 166?
1660
Find the common denominator of 17/72 and -19/10.
360
What is the smallest common multiple of 12 and 68?
204
What is the common denominator of 81/212 and -95/848?
848
Find the common denominator of -65/16 and 151/18.
144
What is the smallest common multiple of 2432 and 192?
7296
What is the common denominator of -37/10 and 12/145?
290
Calculate the common denominator of -95/14 and 17/24.
168
Calculate the least common multiple of 1650 and 231.
11550
What is the smallest common multiple of 11335 and 10?
22670
Calculate the smallest common multiple of 3 and 291.
291
Calculate the common denominator of -29/328 and -49/451.
3608
What is the least common multiple of 2510 and 12?
15060
Find the common denominator of -5/2648 and 89/6.
7944
Calculate the smallest common multiple of 32 and 1700.
13600
What is the common denominator of 89/18 and -31/472?
4248
Calculate the common denominator of 69/2 and -17/62.
62
What is the common denominator of 199/2040 and 89/32?
8160
Calculate the smallest common multiple of 2 and 12.
12
What is the smallest common multiple of 147 and 1470?
1470
Calculate the lowest common multiple of 1408 and 660.
21120
What is the lowest common multiple of 11460 and 12606?
126060
Calculate the common denominator of -43/330 and -33/8.
1320
Find the common denominator of -101/50 and -23/30.
150
What is the common denominator of 107/442 and -33/8?
1768
What is the least common multiple of 12 and 52?
156
What is the lowest common multiple of 21 and 3480?
24360
What is the smallest common multiple of 6 and 3?
6
Find the common denominator of -31/2070 and -37/6.
2070
What is the common denominator of -7/8 and 37/254?
1016
What is the common denominator of -21/2524 and 28/5679?
22716
What is the smallest common multiple of 81 and 297?
891
Calculate the common denominator of 1/39 and 25/18.
234
What is the lowest common multiple of 51 and 2040?
2040
What is the smallest common multiple of 50 and 25?
50
Calculate the least common multiple of 6 and 963.
1926
Find the common denominator of 41/446 and -47/16.
3568
Find the common denominator of -23/11 and -57/7.
77
Calculate the smallest common multiple of 40 and 484.
4840
Calculate the least common multiple of 7 and 9.
63
Calculate the common denominator of -50/7 and 20/737.
5159
Calculate the lowest common multiple of 900 and 132.
9900
Calculate the least common multiple of 99 and 27.
297
Calculate the lowest common multiple of 200 and 888.
22200
What is the common denominator of 77/68 and -59/68?
68
Calculate the smallest common multiple of 33 and 81.
891
Calculate the lowest common multiple of 225 and 150.
450
Calculate the common denominator of 127/42 and 5/56.
168
Calculate the common denominator of -5/54 and 55/1134.
1134
What is the common denominator of -31/3668 and 13/8?
7336
What is the common denominator of -39/2500 and 43/875?
17500
Calculate the least common multiple of 9 and 7909.
71181
Calculate the smallest common multiple of 2472 and 15.
12360
What is the common denominator of -113/1254 and 107/10?
6270
What is the lowest common multiple of 14 and 88?
616
What is the least common multiple of 351 and 351?
351
What is the common denominator of 43/66 and -6/5?
330
Calculate the common denominator of -101/290 and 71/230.
6670
Calculate the smallest common multiple of 100 and 6.
300
What is the lowest common multiple of 1280 and 480?
3840
What is the lowest common multiple of 53 and 15?
795
What is the common denominator of -48/11 and 8/727?
7997
Calculate the least common multiple of 68 and 24.
408
What is the least common multiple of 36 and 126?
252
Calculate the common denominator of -79/4 and 57/8.
8
What is the smallest common multiple of 18 and 32?
288
Find the common denominator of -25/772 and -41/20.
3860
What is the smallest common multiple of 7585 and 370?
15170
Calculate the smallest common multiple of 90 and 36.
180
What is the lowest common multiple of 18 and 168?
504
Calculate the common denominator of 49/4 and -31/7.
28
What is the common denominator of -77/12 and -63/1816?
5448
What is the lowest common multiple of 1116 and 48?
4464
What is the smallest common multiple of 608 and 3496?
13984
Calculate the common denominator of -39 and -63/6266.
6266
Calculate the common denominator of 29/327 and 113/102.
11118
What is the lowest common multiple of 18 and 33?
198
What is the common denominator of 107/30 and -137/420?
420
Calculate the smallest common multiple of 1533 and 2190.
15330
Calculate the common denominator of 57/116 and 7/116.
116
What is the lowest common multiple of 237 and 9?
711
Calculate the common denominator of 53/28 and -151/546.
1092
What is the smallest common multiple of 12 and 120?
120
Calculate the lowest common multiple of 14 and 5.
70
Find the common denominator of 5/132 and -69/8.
264
Calculate the common denominator of 79/1276 and 57/16.
5104
What is the common denominator of 41/4292 and 63/20?
21460
What is the common denominator of -35/2634 and -19/60?
26340
What is the lowest common multiple of 3 and 4458?
4458
What is the lowest common multiple of 364 and 18?
3276
What is the lowest common multiple of 130 and 10?
130
What is the common denominator of -17/9 and 23/2?
18
Calculate the common denominator of -113/56 and -127/70.
280
Calculate the lowest common multiple of 45 and 90.
90
Calculate the common denominator of -49/30 and -151/3498.
17490
What is the common denominator of -49/68 and -149/72?
1224
| {
"pile_set_name": "DM Mathematics"
} |
of 1101 to the nearest integer?
10
What is the third root of 101 to the nearest integer?
5
What is the fourth root of 769 to the nearest integer?
5
What is 512 to the power of 1/2, to the nearest integer?
23
What is the third root of 8979 to the nearest integer?
21
What is the sixth root of 57226 to the nearest integer?
6
What is the cube root of 6419 to the nearest integer?
19
What is 4657 to the power of 1/2, to the nearest integer?
68
What is the third root of 30281 to the nearest integer?
31
What is 24611 to the power of 1/3, to the nearest integer?
29
What is the square root of 733 to the nearest integer?
27
What is 2365 to the power of 1/8, to the nearest integer?
3
What is 129393 to the power of 1/3, to the nearest integer?
51
What is the cube root of 104848 to the nearest integer?
47
What is 12370 to the power of 1/3, to the nearest integer?
23
What is 5073 to the power of 1/8, to the nearest integer?
3
What is 53 to the power of 1/2, to the nearest integer?
7
What is the fourth root of 520 to the nearest integer?
5
What is 706 to the power of 1/2, to the nearest integer?
27
What is 10661 to the power of 1/2, to the nearest integer?
103
What is the seventh root of 2908 to the nearest integer?
3
What is the fourth root of 8353 to the nearest integer?
10
What is 62 to the power of 1/3, to the nearest integer?
4
What is 53702 to the power of 1/10, to the nearest integer?
3
What is the square root of 2522 to the nearest integer?
50
What is 5888 to the power of 1/2, to the nearest integer?
77
What is the third root of 7343 to the nearest integer?
19
What is 30868 to the power of 1/2, to the nearest integer?
176
What is the third root of 52290 to the nearest integer?
37
What is 328 to the power of 1/2, to the nearest integer?
18
What is the seventh root of 401 to the nearest integer?
2
What is 410 to the power of 1/10, to the nearest integer?
2
What is 10765 to the power of 1/3, to the nearest integer?
22
What is the tenth root of 1280 to the nearest integer?
2
What is 17969 to the power of 1/2, to the nearest integer?
134
What is 1199 to the power of 1/9, to the nearest integer?
2
What is the third root of 1327 to the nearest integer?
11
What is 27584 to the power of 1/2, to the nearest integer?
166
What is the cube root of 1792 to the nearest integer?
12
What is 3246 to the power of 1/3, to the nearest integer?
15
What is the fourth root of 8225 to the nearest integer?
10
What is 665 to the power of 1/3, to the nearest integer?
9
What is the square root of 57771 to the nearest integer?
240
What is 10636 to the power of 1/2, to the nearest integer?
103
What is the fifth root of 113037 to the nearest integer?
10
What is 16441 to the power of 1/2, to the nearest integer?
128
What is 7011 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 5633 to the nearest integer?
3
What is the third root of 598 to the nearest integer?
8
What is the third root of 2740 to the nearest integer?
14
What is the tenth root of 3755 to the nearest integer?
2
What is the square root of 1951 to the nearest integer?
44
What is 697 to the power of 1/2, to the nearest integer?
26
What is the square root of 12147 to the nearest integer?
110
What is 1312 to the power of 1/9, to the nearest integer?
2
What is 7966 to the power of 1/5, to the nearest integer?
6
What is the square root of 102450 to the nearest integer?
320
What is the cube root of 17866 to the nearest integer?
26
What is the cube root of 4191 to the nearest integer?
16
What is the square root of 2289 to the nearest integer?
48
What is the ninth root of 8468 to the nearest integer?
3
What is 2259 to the power of 1/2, to the nearest integer?
48
What is the cube root of 39827 to the nearest integer?
34
What is the seventh root of 52 to the nearest integer?
2
What is the ninth root of 2175 to the nearest integer?
2
What is 2935 to the power of 1/4, to the nearest integer?
7
What is 661 to the power of 1/9, to the nearest integer?
2
What is 41515 to the power of 1/3, to the nearest integer?
35
What is the ninth root of 271 to the nearest integer?
2
What is the cube root of 369 to the nearest integer?
7
What is the square root of 139351 to the nearest integer?
373
What is the square root of 4834 to the nearest integer?
70
What is the cube root of 834 to the nearest integer?
9
What is the cube root of 881 to the nearest integer?
10
What is 1354 to the power of 1/10, to the nearest integer?
2
What is 1810 to the power of 1/2, to the nearest integer?
43
What is the third root of 10063 to the nearest integer?
22
What is 1932 to the power of 1/3, to the nearest integer?
12
What is 876 to the power of 1/2, to the nearest integer?
30
What is 3592 to the power of 1/4, to the nearest integer?
8
What is 6506 to the power of 1/3, to the nearest integer?
19
What is 1745 to the power of 1/3, to the nearest integer?
12
What is the third root of 627 to the nearest integer?
9
What is 4777 to the power of 1/3, to the nearest integer?
17
What is the square root of 620 to the nearest integer?
25
What is 3598 to the power of 1/8, to the nearest integer?
3
What is 1664 to the power of 1/2, to the nearest integer?
41
What is the square root of 4036 to the nearest integer?
64
What is the square root of 38791 to the nearest integer?
197
What is 38292 to the power of 1/2, to the nearest integer?
196
What is 40079 to the power of 1/9, to the nearest integer?
3
What is the square root of 5282 to the nearest integer?
73
What is the third root of 3130 to the nearest integer?
15
What is 1896 to the power of 1/2, to the nearest integer?
44
What is the third root of 4528 to the nearest integer?
17
What is the square root of 94507 to the nearest integer?
307
What is 2689 to the power of 1/3, to the nearest integer?
14
What is 37783 to the power of 1/4, to the nearest integer?
14
What is the square root of 5505 to the nearest integer?
74
What is the square root of 4525 to the nearest integer?
67
What is the cube root of 1097 to the nearest integer?
10
What is the ninth root of 2717 to the nearest integer?
2
What is 86601 to the power of 1/7, to the nearest integer?
5
What is 79111 to the power of 1/2, to the nearest integer?
281
What is the fifth root of 1654 to the nearest integer?
4
What is the seventh root of 34956 to the nearest integer?
4
What is 2615 to the power of 1/3, to the nearest integer?
14
What is 506 to the power of 1/9, to the nearest integer?
2
What is 1140 to the power of 1/5, to the nearest integer?
4
What is the third root of 696 to the nearest integer?
9
What is 79812 to the power of 1/2, to the nearest integer?
283
What is the fourth root of 136888 to the nearest integer?
19
What is the cube root of 6575 to the nearest integer?
19
What is the third root of 17674 to the nearest integer?
26
What is the cube root of 2775 to the nearest integer?
14
What is 11483 to the power of 1/2, to the nearest integer?
107
What is 89913 to the power of 1/2, to the nearest integer?
300
What is the cube root of 3920 to the nearest integer?
16
What is 3382 to the power of 1/4, to the nearest integer?
8
What is 2197 to the power of 1/3, to the nearest integer?
13
What is the eighth root of 3836 to the nearest integer?
3
What is the third root of 2544 to the nearest integer?
14
What is the cube root of 22703 to the nearest integer?
28
What is the cube root of 2583 to the nearest integer?
14
What is the cube root of 3543 to the nearest integer?
15
What is the sixth root of 794 to the nearest integer?
3
What is the ninth root of 7683 to the nearest integer?
3
What is the seventh root of 29050 to the nearest integer?
4
What is 3757 to the power of 1/3, to the nearest integer?
16
What is the third root of 29452 to the nearest integer?
31
What is 1067 to the power of 1/2, to the nearest integer?
33
What is 14479 to the power of 1/3, to the nearest integer?
24
What is the square root of 26852 to the nearest integer?
164
What is the sixth root of 1100 to the nearest integer?
3
What is 2630 to the power of 1/3, to the nearest integer?
14
What is 45089 to the power of 1/2, to the nearest integer?
212
What is 5874 to the power of 1/8, to the nearest integer?
3
What is the third root of 142659 to the nearest integer?
52
What is | {
"pile_set_name": "DM Mathematics"
} |
e hundred thousands digit of 4479198?
4
What is the thousands digit of 311080?
1
What is the units digit of 758396?
6
What is the thousands digit of 3102030?
2
What is the millions digit of 1732184?
1
What is the ten thousands digit of 238609?
3
What is the hundreds digit of 2752898?
8
What is the ten thousands digit of 18058?
1
What is the units digit of 1229439?
9
What is the ten thousands digit of 222342?
2
What is the hundred thousands digit of 1655063?
6
What is the units digit of 353210?
0
What is the hundreds digit of 15816104?
1
What is the thousands digit of 44590?
4
What is the thousands digit of 4447094?
7
What is the tens digit of 16011485?
8
What is the tens digit of 18000681?
8
What is the hundreds digit of 11626056?
0
What is the thousands digit of 234372?
4
What is the ten thousands digit of 90164?
9
What is the ten thousands digit of 88089?
8
What is the units digit of 321610?
0
What is the millions digit of 14619256?
4
What is the millions digit of 4925346?
4
What is the hundreds digit of 2865337?
3
What is the hundred thousands digit of 351113?
3
What is the hundreds digit of 4929994?
9
What is the hundred thousands digit of 5442045?
4
What is the units digit of 240258?
8
What is the millions digit of 1759922?
1
What is the units digit of 855896?
6
What is the units digit of 110629?
9
What is the units digit of 27015?
5
What is the units digit of 1845797?
7
What is the units digit of 5589610?
0
What is the thousands digit of 1949495?
9
What is the hundreds digit of 78704?
7
What is the hundred thousands digit of 816787?
8
What is the hundreds digit of 2229705?
7
What is the hundred thousands digit of 36755311?
7
What is the hundreds digit of 586271?
2
What is the ten thousands digit of 637647?
3
What is the tens digit of 26071515?
1
What is the tens digit of 9124923?
2
What is the thousands digit of 5444030?
4
What is the tens digit of 4885543?
4
What is the units digit of 1307314?
4
What is the hundred thousands digit of 172784?
1
What is the units digit of 10161082?
2
What is the millions digit of 2803422?
2
What is the units digit of 29552?
2
What is the units digit of 829991?
1
What is the ten thousands digit of 4985827?
8
What is the hundreds digit of 2137706?
7
What is the ten thousands digit of 16520554?
2
What is the tens digit of 111009?
0
What is the units digit of 64654?
4
What is the units digit of 17153926?
6
What is the hundred thousands digit of 2821975?
8
What is the tens digit of 7894275?
7
What is the ten thousands digit of 22607?
2
What is the tens digit of 253576?
7
What is the units digit of 1675592?
2
What is the ten thousands digit of 121813?
2
What is the units digit of 229261?
1
What is the hundreds digit of 730720?
7
What is the ten thousands digit of 1121559?
2
What is the hundreds digit of 10802219?
2
What is the units digit of 299322?
2
What is the hundred thousands digit of 393584?
3
What is the tens digit of 7505962?
6
What is the ten thousands digit of 122603?
2
What is the thousands digit of 1017?
1
What is the units digit of 6859746?
6
What is the hundreds digit of 30459119?
1
What is the millions digit of 10001706?
0
What is the units digit of 34463496?
6
What is the thousands digit of 320719?
0
What is the thousands digit of 696001?
6
What is the thousands digit of 6709113?
9
What is the ten thousands digit of 24239055?
3
What is the hundred thousands digit of 225030?
2
What is the thousands digit of 3457724?
7
What is the millions digit of 1487947?
1
What is the tens digit of 146993?
9
What is the thousands digit of 671583?
1
What is the tens digit of 312036?
3
What is the hundred thousands digit of 3457697?
4
What is the tens digit of 4765962?
6
What is the ten thousands digit of 907777?
0
What is the tens digit of 11211434?
3
What is the hundred thousands digit of 11009398?
0
What is the hundred thousands digit of 165353?
1
What is the hundred thousands digit of 11408017?
4
What is the hundred thousands digit of 935919?
9
What is the tens digit of 151847?
4
What is the ten thousands digit of 331205?
3
What is the hundreds digit of 1166837?
8
What is the hundred thousands digit of 7017410?
0
What is the units digit of 43308?
8
What is the hundreds digit of 564411?
4
What is the ten thousands digit of 9491970?
9
What is the units digit of 19879509?
9
What is the units digit of 3430405?
5
What is the ten thousands digit of 248005?
4
What is the tens digit of 383931?
3
What is the units digit of 3821339?
9
What is the ten thousands digit of 7158195?
5
What is the hundreds digit of 257921?
9
What is the hundreds digit of 172632?
6
What is the ten thousands digit of 18152843?
5
What is the units digit of 6450453?
3
What is the ten thousands digit of 17110635?
1
What is the thousands digit of 7979677?
9
What is the ten millions digit of 30774327?
3
What is the thousands digit of 298746?
8
What is the hundred thousands digit of 3078010?
0
What is the hundred thousands digit of 26047895?
0
What is the tens digit of 835154?
5
What is the ten thousands digit of 250871?
5
What is the hundreds digit of 21856094?
0
What is the units digit of 4868275?
5
What is the units digit of 2241721?
1
What is the ten thousands digit of 12425348?
2
What is the millions digit of 2093713?
2
What is the hundreds digit of 340270?
2
What is the hundreds digit of 132364?
3
What is the millions digit of 27259836?
7
What is the units digit of 256255?
5
What is the ten thousands digit of 10508332?
0
What is the hundred thousands digit of 14465325?
4
What is the hundred thousands digit of 3631467?
6
What is the hundred thousands digit of 258835?
2
What is the ten thousands digit of 14378610?
7
What is the millions digit of 2628450?
2
What is the ten thousands digit of 1032678?
3
What is the ten thousands digit of 125809?
2
What is the ten thousands digit of 1543396?
4
What is the tens digit of 450496?
9
What is the thousands digit of 24369156?
9
What is the ten thousands digit of 40502?
4
What is the thousands digit of 16534098?
4
What is the units digit of 4715394?
4
What is the hundred thousands digit of 618856?
6
What is the units digit of 1912246?
6
What is the hundred thousands digit of 2379406?
3
What is the hundred thousands digit of 165117?
1
What is the millions digit of 1386318?
1
What is the units digit of 4845653?
3
What is the ten thousands digit of 265625?
6
What is the tens digit of 3898711?
1
What is the thousands digit of 282916?
2
What is the thousands digit of 301615?
1
What is the units digit of 18790846?
6
What is the ten thousands digit of 15845182?
4
What is the millions digit of 2369542?
2
What is the millions digit of 12495141?
2
What is the hundred thousands digit of 803651?
8
What is the hundred thousands digit of 4620433?
6
What is the hundreds digit of 2770939?
9
What is the ten thousands digit of 15017757?
1
What is the ten thousands digit of 832579?
3
What is the tens digit of 366134?
3
What is the hundreds digit of 606460?
4
What is the millions digit of 5226645?
5
What is the thousands digit of 4115116?
5
What is the hundreds digit of 518643?
6
What is the hundred thousands digit of 134826?
1
What is the thousands digit of 209660?
9
What is the millions digit of 26091251?
6
What is the ten thousands digit of 2173572?
7
What is the hundred thousands digit of 4655620?
6
What is the ten thousands digit of 1552647?
5
What is the thousands digit of 127588?
7
What is the tens digit of 2070651?
5
What is the ten thousands digit of 18691048?
9
What is the hundreds digit of 71390?
3
What is the millions digit of 5502025?
5
What is the tens digit of 4504341?
4
What is the millions digit of 3164394?
3
What is the thousands digit of 13105290?
5
What is the tens digit of 8485451?
5
What is the hundreds digit of 33338?
3
What is the hundred thousands digit of 23083145?
0
What is the hundred thousands digit of 10611554?
6
What is the tens digit of 3261?
6
What is the thousands digit of 1929653?
9
What is the ten thousands digit of 807089?
0
What is the hundreds digit of 1859924?
9
What is the hundreds digit of 17474?
4
What is the ten thousands digit of 5522475?
2
What is the hundreds digit of 666560?
5
What is the hundreds digit of 4547329?
3
What is the units digit of 604954?
4
What is the tens dig | {
"pile_set_name": "DM Mathematics"
} |
replacement from {a: 1, r: 5, s: 3, p: 1}.
1/6
Two letters picked without replacement from kqqaqaqqaqqqqqkqq. What is prob of sequence qk?
3/34
What is prob of sequence wo when two letters picked without replacement from {t: 1, y: 6, o: 2, x: 6, w: 2}?
1/68
Four letters picked without replacement from cwwwcww. Give prob of sequence wwwc.
1/7
What is prob of sequence jz when two letters picked without replacement from dzoohoohjhoqoqz?
1/105
Three letters picked without replacement from {e: 1, q: 7, n: 2, s: 2}. What is prob of sequence nne?
1/660
Four letters picked without replacement from yssysyrry. What is prob of sequence rssr?
1/252
What is prob of sequence kwfd when four letters picked without replacement from {o: 1, f: 3, d: 1, z: 5, k: 2, w: 3}?
1/1820
Calculate prob of sequence dpd when three letters picked without replacement from dupwwdstpddt.
1/55
Calculate prob of sequence pnvv when four letters picked without replacement from iipvhvwvhhwnvn.
1/1001
Three letters picked without replacement from yuyeeyyuevv. Give prob of sequence vvy.
4/495
Three letters picked without replacement from wvhxn. What is prob of sequence nvw?
1/60
Three letters picked without replacement from {b: 1, t: 3, c: 2, e: 1, m: 7}. What is prob of sequence ecb?
1/1092
Two letters picked without replacement from {q: 1, o: 2, t: 6, c: 5, a: 3}. What is prob of sequence co?
5/136
Three letters picked without replacement from {v: 1, h: 1, q: 1, g: 2, r: 2, o: 1}. Give prob of sequence vrv.
0
Three letters picked without replacement from {y: 1, d: 3, a: 1, n: 4, l: 2}. What is prob of sequence lnn?
4/165
What is prob of sequence zvi when three letters picked without replacement from {q: 4, v: 2, i: 3, z: 2, t: 3, y: 4}?
1/408
Four letters picked without replacement from {j: 5, e: 4, v: 3}. What is prob of sequence ejej?
2/99
What is prob of sequence cco when three letters picked without replacement from fccocockkkokk?
3/143
Three letters picked without replacement from piipii. Give prob of sequence pii.
1/5
Calculate prob of sequence kf when two letters picked without replacement from {k: 12, f: 6}.
4/17
Two letters picked without replacement from {q: 5, g: 2}. Give prob of sequence qg.
5/21
Two letters picked without replacement from eolwwe. Give prob of sequence lw.
1/15
What is prob of sequence jg when two letters picked without replacement from jjgjjjgggjj?
14/55
Two letters picked without replacement from uttuuuuuuuu. What is prob of sequence ut?
9/55
Three letters picked without replacement from wwssssswwwss. Give prob of sequence ssw.
7/44
Four letters picked without replacement from xxxmxxxxxxxxxxxxxx. Give prob of sequence xmxx.
1/18
Calculate prob of sequence vv when two letters picked without replacement from vfvvvvvv.
3/4
Three letters picked without replacement from swswswlww. Give prob of sequence slw.
5/168
Calculate prob of sequence as when two letters picked without replacement from {p: 1, d: 2, s: 1, a: 4, h: 1}.
1/18
What is prob of sequence ty when two letters picked without replacement from {t: 3, y: 1, f: 4}?
3/56
Four letters picked without replacement from jgfppppii. Give prob of sequence iijf.
1/1512
Four letters picked without replacement from {o: 7, x: 5}. What is prob of sequence oxxo?
7/99
Two letters picked without replacement from tcbtbbtttcqrtbbbcqb. Give prob of sequence qc.
1/57
What is prob of sequence bguu when four letters picked without replacement from {u: 5, g: 8, b: 7}?
28/2907
Four letters picked without replacement from angaaasp. What is prob of sequence sppp?
0
What is prob of sequence sk when two letters picked without replacement from {i: 4, s: 4, k: 6}?
12/91
What is prob of sequence wtjt when four letters picked without replacement from wwtwjwtjjtwjjtjjjjw?
9/1292
Two letters picked without replacement from xvvlvxlllvlsvdvd. Give prob of sequence dv.
1/20
Three letters picked without replacement from {t: 2, n: 2, p: 10}. Give prob of sequence tpt.
5/546
Two letters picked without replacement from yynyyyyyyyyyy. What is prob of sequence yy?
11/13
Four letters picked without replacement from xnxnnnxnonxernnnox. Give prob of sequence xnre.
1/1632
Two letters picked without replacement from pbpbpkbbakbpbakg. Give prob of sequence ap.
1/30
Three letters picked without replacement from {f: 1, m: 3, g: 2, j: 1}. What is prob of sequence jgg?
1/105
Three letters picked without replacement from {a: 18, c: 2}. Give prob of sequence cca.
1/190
Two letters picked without replacement from wwllllwwwl. Give prob of sequence ww.
2/9
Three letters picked without replacement from zlqllzqqqlqz. What is prob of sequence lzz?
1/55
Four letters picked without replacement from {h: 3, v: 4, w: 6}. What is prob of sequence wwhh?
3/286
Three letters picked without replacement from {n: 1, y: 1, o: 3, x: 4, t: 4}. Give prob of sequence xyt.
4/429
Four letters picked without replacement from aaaafaaaaaoaao. Give prob of sequence oafo.
1/1092
What is prob of sequence cnci when four letters picked without replacement from {i: 2, c: 4, m: 1, n: 2, p: 5, k: 1}?
2/1365
Three letters picked without replacement from {g: 7, o: 2, c: 3}. Give prob of sequence ccg.
7/220
Three letters picked without replacement from mfnfnfnfnnfbfbfffbn. Give prob of sequence mbn.
1/323
Two letters picked without replacement from {a: 2, h: 3, x: 1, k: 4, c: 2}. What is prob of sequence ca?
1/33
What is prob of sequence gao when three letters picked without replacement from {b: 4, o: 2, r: 2, g: 4, a: 1, x: 2}?
4/1365
Three letters picked without replacement from {v: 13, x: 2, a: 3}. Give prob of sequence vav.
13/136
Two letters picked without replacement from {g: 1, l: 2, d: 1, x: 1, f: 1, u: 1}. What is prob of sequence ug?
1/42
Four letters picked without replacement from {y: 3, f: 3}. Give prob of sequence fyyy.
1/20
Three letters picked without replacement from {h: 1, o: 3}. Give prob of sequence hoo.
1/4
Three letters picked without replacement from itjti. What is prob of sequence jit?
1/15
Four letters picked without replacement from eekkzszzxzezsnszxeez. What is prob of sequence knsx?
1/9690
Three letters picked without replacement from dddyjeod. What is prob of sequence yeo?
1/336
Calculate prob of sequence dhdv when four letters picked without replacement from {d: 3, v: 11, h: 1}.
11/5460
What is prob of sequence rpp when three letters picked without replacement from {p: 2, c: 4, r: 8}?
2/273
Two letters picked without replacement from {g: 6, j: 4, b: 2}. What is prob of sequence bj?
2/33
Three letters picked without replacement from tijijiiik. Give prob of sequence tjk.
1/252
What is prob of sequence ct when two letters picked without replacement from {d: 1, t: 4, c: 3, a: 2}?
2/15
Two letters picked without replacement from dddd. Give prob of sequence dd.
1
Two letters picked without replacement from {p: 1, q: 2, v: 1, x: 2, n: 5, s: 2}. What is prob of sequence qp?
1/78
What is prob of sequence mi when two letters picked without replacement from {p: 4, g: 1, d: 1, i: 2, m: 2, n: 7}?
1/68
What is prob of sequence fjd when three letters picked without replacement from {j: 2, f: 1, d: 2, a: 1, t: 1}?
2/105
Calculate prob of sequence et when two letters picked without replacement from tteettettet.
14/55
Three letters picked without replacement from eveccecice. What is prob of sequence cce?
1/15
Three letters picked without replacement from yeeeeyee. What is prob of sequence eyy?
1/28
Calculate prob of sequence mnm when three letters picked without replacement from nnmmnm.
3/20
Two letters picked without replacement from nmqfmnmm. Give prob of sequence mq.
1/14
Four letters picked without replacement from llubblublub. What is prob of sequence lbbu?
1/55
What is prob of sequence qk when two letters picked without replacement from qnkkbbrkbn?
1/30
Two letters picked without replacement from {n: 14, m: 5}. Give prob of sequence mm.
10/171
Three letters picked without replacement from mbmmbmm. What is prob of sequence bmm?
4/21
Three letters picked without replacement from qrrrrqrrrrqrrr. What is prob of sequence qqq?
1/364
Three letters picked without replacement from vvvvvvvvvvvvx. What is prob of sequence vvx?
1/13
Two letters picked without replacement from {a: 7 | {
"pile_set_name": "DM Mathematics"
} |
a = -172 + 176. Let x = a - 0. Solve -5*n + 20 = 0, -25 = -3*q + 6*q - x*n for q.
-3
Suppose 6220*t - 6227*t + 14 = 0. Solve -t*k + 3*k = -5*q - 6, -q - 4*k = 5 for q.
-1
Suppose 13*o - 1144 + 1105 = 0. Solve 2*h - 7*h - 15 = 2*i, h = -5*i - o for i.
0
Let w(u) = 3*u**3 + 7*u**2 - 6*u - 1. Let l be w(1). Let j = -121 - -130. Solve 0 = 4*y - l*m - 27, -2*y - j + 30 = -3*m for y.
3
Let v = 226 - -62. Suppose -10*n = -2*n - v. Suppose -18*a - n = -24*a. Solve -t - a + 3 = -2*d, 2*d = 2*t for t.
3
Suppose -p + 8 - 12 = 0. Let j be 2/(0 - p/4*1). Suppose 2*u - 3 = -w, j*w + 2 - 8 = 5*u. Solve 0 = -5*h - 3*s - 2 + 4, w*h - s = -10 for h.
-2
Let y(p) = p**2 + 11*p + 4. Let g = -72 - -108. Let t = g - 47. Let n be y(t). Solve -4*x - 4 = -n*m, -7 = -m - 2*m + 2*x for m.
5
Suppose 4*w - 188 = -2*s, 4*w - 3 = 1. Let k = -88 + s. Suppose -k + 10 = 3*c. Solve 2 = c*t - 3*n, t + 10 = 2*t + 3*n for t.
4
Let u = 12 + -2. Let r be 28/5 - (-4)/u. Suppose -3*a - 347 = 4*k - 345, 0 = a + k. Solve a*y = 3*z + 2*z - r, z = -y - 3 for y.
-3
Let a = 1122 + -1121. Solve 0 = -5*n - i - 11 + a, 0 = 3*i + 15 for n.
-1
Suppose 4*g + 0 = -3*k - 2, -3*k = 3*g - 3. Suppose k - 48 = -3*f. Let n = -12 + f. Solve -t + 1 = -u - 2*t, -2*t + 18 = -n*u for u.
-5
Let h(o) be the third derivative of -o**4/24 + 4*o**3/3 + 3*o**2. Let c be h(8). Let v be (c/(2/2)*-1)/(-1). Solve v*f - 9 = 3*f - 3*s, 5*f = -4*s + 21 for f.
1
Suppose q - 6*q + 16 = f, 3*q - 10 = -f. Let h be (-10)/q*(-18)/15. Suppose -618*a = -3761 + 53. Solve 2*n - 4*o = -h, 3*n - 3 = o + a for n.
4
Suppose 19 = 3*c + 4*i, 2*i = 2*c + 412 - 420. Solve 21*p - 18*p - 2*v = -3, 4*v = 5*p + c for p.
-1
Let l be -2*(-18)/(-16)*980/(-147). Solve 5*k = 2*x - l, -5*x - 3*k - 9 = -3*x for x.
0
Let m(c) = -1941*c - 7759. Let l be m(-4). Solve 0 = l*z + 5*x - 10, -z = -x + 2 + 2 for z.
-1
Suppose 3*c - 49 = -2*v, 7*v + 4 = 9*v. Solve 0 = z - j + 2 - 0, -5*j = -c for z.
1
Let y be 1*(-4)/(2*-2). Let x(u) = -3*u**2 + 23*u + 11. Let k be x(8). Suppose -k*o = 9, 4*o = -v + y - 4. Solve 5*m - 2 = -5*f - 12, -3*m + v = 0 for f.
-5
Let u be (-22 + 18)/((-8)/22). Suppose 2*w + 0*w - 4*c = 4, 3*w + 3*c + 3 = 0. Solve 0 = y - w*j + j - 7, 5*y - 3*j = u for y.
4
Let b(w) = w**2 + 2*w - 7. Let q be b(11). Suppose -5*h = q + 89. Let z = h + 65. Solve -5*n = 3*m + 10, 0*m = -5*n + 3*m + z for n.
1
Suppose -11*y = 98 + 331. Let p = y + 39. Let n be (15 + 0 + -1)/(1 - p). Solve 2 = 2*r + 2*b, -n + 5 = -3*r + 3*b for r.
2
Suppose 6*f - 4*f - 5*u = 116, -5*f = -u - 336. Suppose 19*q - 8 - f = 0. Solve -b = -4*d - 23, 2*b = -q*d - 0*b - 14 for d.
-5
Let l(t) = -t**3 - 7*t**2 + 5*t - 4. Let o be l(-8). Suppose 2*c - 2*b - o = 0, 2*c + 4*b - 1 = -11. Solve -5*p - 16 = w, -w + c*w = -3*p - 13 for w.
-1
Let h be (-8)/((-48)/(-27) + -2). Let g be 6/(-15) - h/(-15). Let a = -20 + 23. Solve -5*y - k + 2 = -2*y, -g*y - a*k = -6 for y.
0
Suppose 3*b - 55 = 5*t, 5 = b - 0*t + t. Solve -6*j + 2*d - b = -2*j, j - 2*d + 1 = 0 for j.
-3
Let w(t) = -18*t - 14. Let c be w(-3). Let a = c - 38. Suppose -2*r - 50 = -4*y, 0 = 5*y - 2*r - 0*r - 64. Solve -a*f - k = 3*k - y, -4*k = -4*f - 8 for f.
1
Let j be (-1 - 1106/4)*(7 + -5). Let s = -551 - j. Solve -r = 4*l - 23, -4*l - s*r - r + 35 = 0 for l.
5
Suppose 5*s - 159 = -259. Let y be (-2)/(8/1)*s. Solve a = 5*f + 9, 0 = -y*a - 5*f - 10 - 5 for a.
-1
Let s be (-50)/(-3) - (-4)/(-6). Suppose -3*j - s = d, -2*d + 4*j - 6 = -14. Let u be d*(-2 - -1) - 2. Solve h - 6*h = -u*m - 3, -3*m = 2*h - 5 for h.
1
Suppose -44*i = -43*i - 2. Suppose 46 = -4*n - 2*o, -2*n = -0*n + i*o + 26. Let f = 14 + n. Solve -f*t + 3*x = 21, 5*t - 3*t + 3 = -x for t.
-3
Let v be -101 + ((-3)/6)/((-3)/(-24)). Let o be (-16)/(-10) + 63/v. Solve 5*h - n - 7 = -o, -5*h + 14 = n for h.
2
Suppose 0 = 10*j - 25*j - 82*j. Solve 11*u - 6*u + x + 5 = j, 17 = 4*u + 5*x for u.
-2
Suppose 19*d - 396 = -179*d. Solve d*c - c = -2, -2*c = 5*r - 21 for r.
5
Let r = -742 - -754. Suppose 26*l = 22*l - 4, -2*l = d - r. Solve -c + 2*o + 4 = 0, -4*c - o - o - d = 0 for c.
-2
Let r = -4131 - -4133. Solve -2*c + 16 = -94*y + 99*y, -r*y = c - 7 for c.
3
Let j = 104 - 95. Suppose -l + 800 = j*l. Let z = -76 + l. Solve -4*c + 5*c - 2*k - 8 = 0, -c - z = 2*k for c.
2
Suppose -46*g - 42*g - 19 + 371 = 0. Solve 10 = g*c + 3*x, 19*c - 5*x = 23*c - 14 for c.
1
Let p be -1*(6 + -19) - (1 + 3). Solve -3*i - p = -2*x, -x = -2*i - 26 + 21 for i.
-1
Let a be 637/26 - 10/4. Solve 4*j = 2*g + a, -8*g = -6*g + 10 for j.
3
Let y(s) = s**2 - 8*s - 27. Let q(l) = -12*l**3 - 2*l**2 - l. Let c be q(-1). Let u be y(c). Suppose 5*z = 7*z - u. Solve t + 3*b = -5, 2*b - b = t - z for t.
1
Suppose 0 = -24*l + 25*l - 305. Suppose 0 = 4*o - 2*u - 398, o + 5*u - l = -2*o. Let w = -97 + o. Solve p - 5*r + 22 = -0*r, -w*r = p - 18 for p.
3
Let i(l) = l**2 + 48*l + 5. Let h be i(0). Solve 8*b = 5*k + 49, -7 = -4*k - h*b - 12 for k.
-5
Let s(t) = -2*t**3 + 26*t**2 - 26*t + 30. Let y = 437 - 425. Let g be s(y). Solve 3*w = g*w + i - 13, 5*w - 2*i = 18 for w.
4
Suppose -10*r + 201 - 131 = 0. Suppose 3*f - 25 = -5*x, 0 = -5*x + r*f - 2*f - 15. Solve 4*i - 8 = -4*s, 0 = x*s - 9*i + 7*i - 16 for s.
5
Let p(c) = 3*c + 203. Let h(x) = -6*x - 201. Let j(a) = 5*h(a) + 4*p(a). Let g be j(-11). Solve -k + q = 9, 2 = 4*k - g*q + 43 for k.
-4
Let q be (-225)/(-135)*(0 + 3). Solve q*r + p - 28 = -0*p, 5*r = -2*p + 31 for r.
5
Let r(z) = 24*z - 41 - 23*z**2 + 15*z**3 - 26*z**3 + 20*z + 12*z**3. Let g be r(21). Solve 0 = 4*v - 2*j, g = 5*v - 3*j + j for v.
1
Let p = -424 + 629. Let d = -203 + p. Solve 3*r - 5*m - d = -3*m, -4*r = 4*m + 4 for r.
0
Let t(v) = -3*v**3 - 17*v**2 - 19*v. Let a be t(-1). Solve -3*n - a*s - 13 = 0, -2*n - 2*n + 4*s = -4 for n.
-1
Let s(u) = -3*u - 2. Let f be s(6). Let c = 30 + f. Suppose -1057*o = -527*o - 542*o + 72. Solve 4*j + c = -3*h + o*j, 0 = h + 5*j + 9 for h.
-4
Suppose 3*h = 0, -5*h = -2*d + 6 + 4. Suppose -j - 40 = -5*m - 5*j, -4*j = -d*m. Solve a = m*f + 15, -a - 3*f - 11 - 9 = 0 for a.
-5
Let r = 4390 - 4383. Solve 4*v - 16 = 5*p, -p - 4*v - r = 1 for p.
-4
Suppose -2*x + 345 = 335. Suppose -g = 3*m - 14 + 3, 0 = 5*m + x*g - 35. Solve 0*v = 5*p - 2*v - 18, -m*v - 14 = -4*p for p.
4
Let l be 3220/322*3/10. Solve 0 = g + 5*s, 6*g = 4*g - l*s for g.
0
Let c = 267 - 276. Let i be (-4)/(-10) - c*(-4)/90. Solve -5*z = g + g - 11, -4*g - z - 5 = i for g.
-2
Suppose 10*x + d = 16*x - 7, -9 = -2*x - d. Solve 14 = 7*r - 4*r + x*o, -2*o - 14 = -4*r for r.
4
Let z = -506 - -726. Let u be (z/(-35))/((-12)/42). Solve 0 = -4*n - 2*y + u, -4*n - 4*y + 32 = -0*y for n.
3
Let j be -4 - (-1 + 2)*-4. Suppose j = -6*r + 16 + 14. Solve -3*z = r*t + 3, 0 = -5*t + t - 2*z - 2 for t.
0
Let s be 5/(20/126*((-42)/8 + 7)). Solve -13*b = -8*b + 2*p - 5, -b + 3*p + s = 0 for b.
3
Suppose 146*c + 259 = 843. Solve 2*g - 7 = 5*d + 4*g, 4*d + c*g = -20 for d.
1
Let g be (-70)/(-105)*(-72)/2. Let v be (g/9)/4 - 496/(-24). Solve -3*c + v = 4*n, 3*c = -3*n - 0*c + 18 for n.
2
Let k(l) = -66*l**2 + 722*l + 48. Let r be k(11). Solve 0 = 3*d + r*x - 1, -80*d = -83*d - 2*x - 1 for d.
-1
Let h be 0*(-8)/32 + -261. Let k = h + 269. Solve 4*m + 7 = -3*r + k*m, 1 = m for r.
-1
Suppose 0 = 2*i - 4, -4*c - 3*i - 15 = -57. Solve -65*f + 4*j = -61*f, 0 = -5*f - 4*j + c for f.
1
Let o be (-3 + 39 - -5)*-1. Let g = -38 - o. Solve 0 = g*a - 2*q - 3, -2 - 13 = -4*a - q for a.
3
Let a be 57/76 + 1410/8. Let q = -162 + a. Solve 3*f - z - q = -0, -2*z = f - 5 for f.
5
Let a(t) = t**3 + 6*t**2 + 12*t + 37. Let z be a(-5). Solve -4*q = z*f + 8 - 4, -4*q = -4*f - 8 for q.
0
Let h be (-42)/(-420) + (-1356)/80*-2. Solve h*u - 29*u - 4*d + 20 = 0, 3*u + d = 5 for u.
0
Suppose 0*k = 2*k - 10. Let w = -3 + 7. Let y(f) = -2*f**3 - f**2 + 89*f - 12. Let x be y(-7). Solve -x*z - k*n + 15 = z, w*z + 15 = 5*n for z.
0
Let j be (6 + (-328)/56)/(5/175). Solve 0 = -4*v - f + 8, -38 = -v - j*f - 17 for v.
1
Suppose -4*a + 14 = 5*c - 18, -4*c + 1 = -5*a. Let b be ((-2)/3)/((-12)/108*6) - -20. Solve -4*t = -8, -a*t = -3*y + 6*y - b for y.
5
Let c be 0*(-2 - (1 - 2)). Let i be (-4 + (-7 - -9))*-4*3/12. Solve c*n = -2*n - a - 1, -i*a = 3*n + 2 for n.
0
Suppose 5*p + 13*m = 22*m - 36, m - 4 = -3*p. Solve -o - 14*v + 10*v - 20 = p, 25 = -5*v for o.
0 | {
"pile_set_name": "DM Mathematics"
} |
7/21*-15. Suppose q*d - 15*d = -2430. What is the units digit of d?
0
Let t be 3/2*2 - 18/(-18). Suppose -1 = -t*u + 3. Let w(z) = 203*z**2 + 1. What is the tens digit of w(u)?
0
Let c be (-27)/15 + 1 - 1743/(-35). Let w = c - 46. Suppose 0*m + 21 = 3*m - w*b, 2*m - 19 = 3*b. What is the units digit of m?
2
Suppose -249*o + 610*o - 6388280 = 653386. What is the tens digit of o?
0
Suppose -4*p + 4*w = -452, 3*p - 284 = w + 51. Let x = 113 - p. What is the tens digit of 7/((-35)/(-110)) + x?
2
What is the units digit of 1/(6/(-24)) + (8 - -2332)?
6
Suppose 2*m = m + 3*h + 6, -m = 4*h + 8. Let a(d) be the second derivative of -d**4/12 + 49*d**2 - 1112*d. What is the tens digit of a(m)?
9
Let d = -27 - -34. What is the units digit of (490/d)/((-14)/(-91))?
5
Let v = 7805 + -1957. What is the tens digit of v?
4
Let w be 1*1*39 + 13 + -9. Let n = w + -39. Suppose -4*v + 95 = -r, n = v - r - 19. What is the tens digit of v?
2
Suppose 18*i - 9*i = -1377. What is the tens digit of (73/(-3))/(i/(-162) + -1)?
3
Suppose -7*k - 62802 = -25*k. Suppose 0 = 8*i - k - 303. What is the hundreds digit of i?
4
Let o(u) = -183*u + 282. Let t be o(-11). Let x = t + -1058. What is the units digit of x?
7
Suppose 15 = -4*o - 37. What is the hundreds digit of 27/6*o/(195/(-1880))?
5
Suppose 8*i - 20*i = 1584. What is the tens digit of (520/(-80))/(2/i)?
2
Let h(c) = -9443*c - 162. What is the hundreds digit of h(-1)?
2
Let h(g) = 1165*g**3 - 2*g**2 - 3*g - 3. Let v be h(-1). Let m = 2202 + v. What is the thousands digit of m?
1
Let f = -47 + 29. Let s be 1/2*f/1. What is the units digit of (0 - -1)*(-8 - s)?
1
Let a be (15/(-4) + 3)*-24. Suppose -3*b - 3*b = -a. Suppose -98 = -3*z + 5*h, -b*z + 8*h = 5*h - 102. What is the tens digit of z?
3
Let q be 28/(-10) - (-35)/(-175). What is the tens digit of 1/((-5)/(-1345)) - (q + 8)?
6
Suppose 4*n = 16*n + 20*n - 676064. What is the thousands digit of n?
1
Suppose -14*b + 27 = -43. Suppose 0 = 5*z - 2*q - 2171, -5*z + 2851 = b*q + 701. What is the units digit of z?
3
Let d = -7319 - -41758. What is the tens digit of d?
3
Let j(m) = -4*m**2 + 42*m + 29. Let z be j(15). Let r = 361 - z. What is the hundreds digit of r?
6
Suppose t = -2*t + 9. Suppose -1212*x + 1211*x = -4. Suppose -h + t*p = -20, -x*h + 3*p + 1 + 61 = 0. What is the units digit of h?
4
Let b(c) = -742*c + 92. What is the units digit of b(-25)?
2
Suppose -3*z + 4*v = z - 644, -161 = -z - 5*v. Let a = 659 - z. What is the units digit of a?
8
Let a(g) = 776*g - 227. What is the tens digit of a(9)?
5
What is the hundreds digit of (8849/4)/(((-15)/130)/((-90)/195))?
8
Let c(t) = 21*t + 55. Let a be c(-18). Let o = -203 - a. What is the tens digit of o?
2
Let g(o) = 0*o**2 - 5*o + 29 - 10 - o**3 + 10*o**2. Let y = 3243 + -3235. What is the tens digit of g(y)?
0
Suppose 2*f - 275 = -87. Suppose -f - 54 = -2*r. Suppose 0 = -7*q + 185 + r. What is the tens digit of q?
3
Let x(p) = 57*p**3 - 4*p**2 + 5. Let l be x(3). What is the hundreds digit of 216/(-2)*l/(-174)?
9
Let d(s) = -s**3 + 4*s**2 + 9*s - 5. Let f be d(6). Let k be (f*6)/(12/(-64)). Suppose 4*v + 4*v - k = 0. What is the tens digit of v?
9
Suppose -33*l = 302119 - 1290172. What is the ten thousands digit of l?
2
Let r be 0/(4/2) + 4. Suppose 2*i + 42 = -r*i. What is the units digit of (240/168)/((-1)/i)?
0
Let b(z) = -2*z**2 + 26*z + 88. Let g be b(13). Let a be -2*1*-2 + -1. Suppose 0 = -4*i + a*m + 447, 4*m + g = i + 8*m. What is the units digit of i?
8
Let c = -17963 + 35932. What is the units digit of c?
9
Suppose 9*d = -7*d + 13680. Suppose -774 - d = -9*b. What is the tens digit of b?
8
Suppose 0 = -2*v - 10, 2*t + v + 15 = 18. Suppose -6 = -2*b - 16, 3*n - t*b = 1697. What is the hundreds digit of n?
5
Let d(v) = 2*v**2 + 44*v + 178. Let l be d(-17). Suppose 2792 = l*x - 10280. What is the thousands digit of x?
1
Let s = 281 + -271. Let l(b) = 3*b**2 - 2*b - 45. What is the units digit of l(s)?
5
Let l(b) = -97*b - 2. Let y(m) = 96*m + 1. Let w(q) = -2*q**2 + 10*q - 11. Let g be w(4). Let a(j) = g*l(j) - 2*y(j). What is the tens digit of a(1)?
0
Suppose -3*s - 1267 = -2*i, -5*i - 99*s = -100*s - 3187. Suppose 4*p + p = 2225. Let w = i - p. What is the units digit of w?
3
Let v be (-6)/(-2) - (-4 + 8 + -432). Suppose -v = -c - 5*y, 4*c + 824 = -4*y + 2596. What is the tens digit of c?
4
Let f = -6805 + 14366. What is the tens digit of f?
6
Let u(j) = -79*j**2 + 89*j - 5 - 26*j + 85*j**2. What is the units digit of u(5)?
0
Let v(x) = x**3 + 21*x**2 - 7*x + 76. Let z be v(-24). Let w = -615 - z. What is the units digit of w?
9
Suppose -53560 = -45*d + 41*d - w, 0 = -3*w - 12. What is the hundreds digit of d?
3
Let a(b) = -21*b + 5. Let x = -64 - -67. Suppose 0 = -x*r - v, -5*r + 6 - 5 = 2*v. What is the tens digit of a(r)?
2
Let u = 2326 + -1761. What is the hundreds digit of u?
5
Let l be -5 - -4 - 1*-1. Suppose -r = -4*i - 5*r + 496, -3*r + 612 = 5*i. Suppose -4*u + 204 + i = l. What is the units digit of u?
1
Let d = 3895 + 2339. What is the tens digit of d?
3
Let z = 28 - -38. Let s be (-1)/(15/z) + (-24)/40. Let k = 65 - s. What is the tens digit of k?
7
Let g(c) = -3843*c**3 - 12*c**2 - 18*c - 3. What is the units digit of g(-2)?
9
Suppose 2*g - 58 + 24 = 0. Suppose 0 = -5*c + g - 2. Suppose -c*d - 90 = -5*d. What is the tens digit of d?
4
Let o be (9 - 3)*-10*5. Let n = o - -613. What is the units digit of n?
3
Suppose 2*h = 2*k - 7*k + 75092, -3*k - 37590 = -h. What is the ten thousands digit of h?
3
Suppose b + 1 = -5*j + 15, b + 16 = 5*j. Suppose -j*o - 451 = -14*o. What is the units digit of o?
1
What is the units digit of ((-1090315)/76 + -8)*-4?
7
Let b = -1970 - -2785. Let k = b + -581. What is the tens digit of k?
3
What is the units digit of 11/(715/1586)*95?
8
Let b = -7960 - -14252. What is the thousands digit of b?
6
Suppose 3*s - 7*s = -28. Suppose 8 = s*d - 251. Let r = d + 66. What is the units digit of r?
3
Let c(i) = -i**3 + 4*i**2 + 4*i + 5. Let x be c(4). Suppose b + 18 = x. What is the units digit of b?
3
Let t = -4267 - -6988. What is the thousands digit of t?
2
Let x(u) = -34*u**3 - 6*u**2 + 5*u - 5. Let s be x(2). Let q = s + 420. What is the units digit of q?
9
Let l = -289 - -293. Suppose 0 = -4*c + i + 753 + 952, 5*c - 2134 = l*i. What is the hundreds digit of c?
4
Suppose -9*b + 2282 + 2910 = -18991. What is the units digit of b?
7
Let k be (6 - 8)/((-4)/118). Let j = -15 + -18. Let l = j + k. What is the units digit of l?
6
What is the tens digit of (149190/(-150))/(16/20 + -1)?
7
Suppose -4*o + 32*o + 24612 = 0. Let s = o - -1023. What is the units digit of s?
4
Let f(x) = -4*x - 75. Let i be f(-20). Suppose 2*z + r - 886 = 0, -2*z + i*r + 2215 = 3*z. What is the hundreds digit of z?
4
Let o be ((-2)/4)/(1/(-4)). What is the thousands digit of (-3)/o*(-5)/((-60)/(-8408))?
1
Let c be (-9265)/34*6/5. Let g = c - -341. What is the units digit of g?
4
Let y(p) = -p**3 + 6*p**2 + 12*p - 30. Let z be y(7). Suppose n = -0*r + z*r + 428, 2*r + 1730 = 4*n. What is the units digit of n?
3
Let z(v) = v**2 + 1. Let p be z(-2). Suppose p*k - 64 = 13*k. What is the units digit of (42/k)/(24/(-128))?
8
Suppose -72*d = -68*d - 73536. What is the ten thousands digit of d?
1
Suppose -g = -3*g - 8. Let u(b) = -11*b**2 + 35*b + 8. Let h be u(3). What is the tens digit of g/(-14) - (-1074)/h?
7
What is the thousands digit of (-54710)/(-12) + 16 + 2425/(-150)?
4
Let v be (-18)/12 - (-147)/6. Let o(k) = 17*k - 80. Let w be o(v). Let u = -65 + w. What is the hundreds digit of u?
2
Let o(m) = m**2 + 5*m - 6. Let w be o(-6). Let t be (-377)/(-65) + (-5 - (-124)/20). Suppose -16 = -3*f - t, w = -5*l + 2*f + 24. What is the units digit of l?
6
Let i(v) = 2*v + 75. Let d be i(0). Let z be -2 - (-1 - (0 + 6)). Suppose d = a - 4*f, -37 = 5*a - z*f - 442. What is the units digit of a?
3
Suppose 0 = 5*b + 4*a - 27494, -7230 = -2*b - 3*a + 3776. What is the thousands digit of b?
5
Let z = -453 - -454. What is the units digit of ((-1932)/126)/(z/141*-2)?
1
Let d = 29 - 11. Let g = d + -54. What is the tens digit of (-6)/g + 1019/6?
7
Let q(v) be the third derivative of 0*v + 5/2*v**3 - 42*v**2 - 13/12*v**4 + 0. What is the units digit of q(-7)?
7
Let s = -7487 - -10457. What is the hundreds digit | {
"pile_set_name": "DM Mathematics"
} |
n -750 + 2247 - 756 + 6*k**3 - 741.
6*k**3
Collect the terms in -464 - 5*w + 1316 - 374 - 478.
-5*w
Collect the terms in -16*y**2 - 127*y**2 - 58*y**2 - 244*y**2.
-445*y**2
Collect the terms in 7011 + 3*q + 19*q - 482 + 6*q.
28*q + 6529
Collect the terms in 4*f + 14*f**2 - 4*f**2 - 87*f**2 + 1.
-77*f**2 + 4*f + 1
Collect the terms in 22345 - 22345 - 4670*o**2.
-4670*o**2
Collect the terms in 64525*r**3 - r**2 - 64549*r**3 + r**2.
-24*r**3
Collect the terms in 60 - 8*z**2 - 8*z**2 - 12*z**2 - 4*z.
-28*z**2 - 4*z + 60
Collect the terms in 13500*u + 20*u**2 - 13500*u + 21*u**2.
41*u**2
Collect the terms in 669950647*n - 669950647*n - 10*n**3.
-10*n**3
Collect the terms in 4*f - 10*f - 99*f**2 + 8*f.
-99*f**2 + 2*f
Collect the terms in -13*m**2 - 200599990*m + 200599990*m.
-13*m**2
Collect the terms in 8*r - 6*r - 279 - 35.
2*r - 314
Collect the terms in 36*i**2 - 36*i**2 + 24*i**2.
24*i**2
Collect the terms in -2833*a - 27 - 18 + 45.
-2833*a
Collect the terms in 3325*x + 7*x**2 - 3325*x.
7*x**2
Collect the terms in -642 - 146*a**3 + 2*a**2 + 642 - 2*a**2.
-146*a**3
Collect the terms in 77*x**3 - 11*x**3 - 54*x**3 - 16*x**3.
-4*x**3
Collect the terms in 10*r**2 - 1 - 136*r**2 + 4 - 3.
-126*r**2
Collect the terms in 2305*w**2 + 4 - 6905*w**2 - 4 + 2301*w**2 + 2302*w**2.
3*w**2
Collect the terms in 16*s**2 + 37*s - 9*s**2 + 24*s**2 + 15*s.
31*s**2 + 52*s
Collect the terms in -10 + 612*y**3 - 18 + 415*y**3 + 28.
1027*y**3
Collect the terms in 326325*n**2 + 27997*n**2 + 145760*n**2.
500082*n**2
Collect the terms in 2*m**3 + 20646343*m**2 - 20646343*m**2.
2*m**3
Collect the terms in 27*f - 63 - 15*f - 17*f.
-5*f - 63
Collect the terms in 173*l - 173*l + l**3 - 89.
l**3 - 89
Collect the terms in 24*n**2 - 20*n**2 + 19*n - 2*n - 17*n.
4*n**2
Collect the terms in -691*v + 2084*v - 7*v**3 - 698*v - 695*v.
-7*v**3
Collect the terms in 7 - 191*i + 191*i - 69*i**2.
-69*i**2 + 7
Collect the terms in 163*b**3 + 180*b**3 + 248*b**3.
591*b**3
Collect the terms in -928*l + 928*l + 130*l**3.
130*l**3
Collect the terms in 56*y**3 + 414 - 52*y**3 - 414.
4*y**3
Collect the terms in -545*w**2 + 253*w**2 + 488*w**2.
196*w**2
Collect the terms in a + 0*a**3 + a**3 - 136*a - 44*a.
a**3 - 179*a
Collect the terms in -48*g**2 - 56*g**2 + 108*g**2.
4*g**2
Collect the terms in 52*s**2 + 560*s**2 - 72 - 14*s + 72.
612*s**2 - 14*s
Collect the terms in -11*o**3 - 4*o + 9*o**3 - 7*o.
-2*o**3 - 11*o
Collect the terms in -145*x**2 + 34*x**2 + 54*x**2 + 30*x**2 + 29*x**2.
2*x**2
Collect the terms in -3770*b + 7543*b + 429*b**2 - 3773*b.
429*b**2
Collect the terms in -2*x - 57*x - 114*x - 16*x + 22*x.
-167*x
Collect the terms in 1361*u + 7 + 967*u + 45*u - 6.
2373*u + 1
Collect the terms in -33624*v - 13*v**2 - 33608*v + 67232*v.
-13*v**2
Collect the terms in -38784*z**3 + z**2 - 48965*z**3 - z**2.
-87749*z**3
Collect the terms in 27*u + 40*u - 7*u - 2*u.
58*u
Collect the terms in -2816*p**3 + 10020*p**3 + 3*p - 3*p.
7204*p**3
Collect the terms in -18002*l**2 + 36021*l**2 - 3*l + 5*l - 17982*l**2 - 2*l.
37*l**2
Collect the terms in 30049*r - 15052*r - 14995*r.
2*r
Collect the terms in -122*q + 119*q + q + q - 2*q.
-3*q
Collect the terms in 2 - 3 + 4 - 6*q**2 + 4*q**2 - 11*q**2.
-13*q**2 + 3
Collect the terms in -418999*a + 49096*a - 225023*a.
-594926*a
Collect the terms in -3822*j**2 + 17*j**3 + 3822*j**2.
17*j**3
Collect the terms in 221*w**2 + 196*w**2 + 220*w**2 + 213*w**2 + 222*w**2 - 1067*w**2.
5*w**2
Collect the terms in -276847*l**2 + 29*l**3 + 18 + 276850*l**2 - 18.
29*l**3 + 3*l**2
Collect the terms in -2*s + 2*s + 87*s**2 - 45*s**2 - 49*s**2.
-7*s**2
Collect the terms in 4*v**2 - 3*v**3 + 5*v**2 - 22*v**2 + 5*v**2.
-3*v**3 - 8*v**2
Collect the terms in -3*h**3 + 407301012745 - 407301012745 + 4*h**3.
h**3
Collect the terms in 127*k**3 + 52*k**2 + 129*k**3 + 126*k**3 - 386*k**3.
-4*k**3 + 52*k**2
Collect the terms in 40*k**3 - 52*k**3 - 25*k**3.
-37*k**3
Collect the terms in -60*m**2 + 46*m**2 - 3*m - 8*m + 11*m.
-14*m**2
Collect the terms in -2330758 + 2330758 + 279*q**3.
279*q**3
Collect the terms in 258 + 46*n**3 - 519 + 261 - 14*n**3.
32*n**3
Collect the terms in 2*n - 2*n + 1899006*n**2.
1899006*n**2
Collect the terms in 3*f - 962321054 + 962321054.
3*f
Collect the terms in -s**3 + 3*s**2 + 4*s**3 + 6877 - 3*s**2.
3*s**3 + 6877
Collect the terms in -3 + 2085*f - 4209*f + 3 + 2115*f.
-9*f
Collect the terms in -7 + 23*l + 24 - 17 - 54*l.
-31*l
Collect the terms in -2862*v - 6808*v - 1134*v.
-10804*v
Collect the terms in -35*i**2 - 57*i**2 + 67*i**2.
-25*i**2
Collect the terms in 39*v**3 + 10*v**3 + 21*v**3 - 4*v**3 - 3*v**3.
63*v**3
Collect the terms in -28 - 38 - 2506*x + 89*x.
-2417*x - 66
Collect the terms in 415 - 207 + 13*a**3 - 206.
13*a**3 + 2
Collect the terms in -2 + 10 + 1 + 8 + 7 + 9 - 2*f.
-2*f + 33
Collect the terms in -1707555 + 3*u**3 + 1707555.
3*u**3
Collect the terms in -15*v - 46*v**3 + 2*v + 13*v.
-46*v**3
Collect the terms in 526*k - 5*k**2 - 1052*k + 0 - 1 + 526*k.
-5*k**2 - 1
Collect the terms in -309*d**3 + 1 - 112*d + 113*d - 1 + 373*d**3.
64*d**3 + d
Collect the terms in -4 - 14 + 30*j + 5*j**2 - 50*j + 20*j.
5*j**2 - 18
Collect the terms in -2 + 138*i - 278*i - 357*i**2 - 75*i**2 + 138*i.
-432*i**2 - 2*i - 2
Collect the terms in 115*k**2 - 39*k**2 - 39*k**2 - 38*k**2.
-k**2
Collect the terms in -41247*u + 83410*u - 42159*u.
4*u
Collect the terms in -4676*x**3 - 5 + 5.
-4676*x**3
Collect the terms in 143*h**2 + 118*h**2 + 151*h**2 - 708*h**2 + 151*h**2 + 144*h**2.
-h**2
Collect the terms in -11717*v + 11717*v - 8039*v**2.
-8039*v**2
Collect the terms in 10646 - 4*i**2 - 21265 + 10619.
-4*i**2
Collect the terms in 62*z - 62*z - 403*z**3 + 761*z**3 - 399*z**3.
-41*z**3
Collect the terms in 26140*c**3 - 36404*c**3 - 87344*c**3.
-97608*c**3
Collect the terms in 50*s**3 - 142*s**3 + 69*s**3 + 39*s**3.
16*s**3
Collect the terms in -120 + 517 + 41*i - 87*i + 45*i.
-i + 397
Collect the terms in -65474*w - 65620*w + 131094*w + 2*w**3 - 4*w**3.
-2*w**3
Collect the terms in -6 + 3 - 124*f + 1 + 5.
-124*f + 3
Collect the terms in 634*i**3 - 2625*i**3 + 764*i**3 + 737*i**3 + 657*i**3.
167*i**3
Collect the terms in -3 + o + 2*o + 10*o**2 - 11*o - 5*o**2.
5*o**2 - 8*o - 3
Collect the terms in -18 + 7 + 2662*u**2 - 2669*u**2 + 11.
-7*u**2
Collect the terms in -37*m + 59*m + 278*m**3 - 751*m**3 + m**2 - 22*m.
-473*m**3 + m**2
Collect the terms in -145*x - 154*x + 270*x - 1.
-29*x - 1
Collect the terms in -322*k + 2 - 342*k - 3 - 176*k**2 + 664*k.
-176*k**2 - 1
Collect the terms in 101*c**2 + 18*c**2 - 226*c**2 + 100*c**2.
-7*c**2
Collect the terms in 11313*h - 5642*h - 5668*h.
3*h
Collect the terms in 1905*w - 636*w - 641*w - 635*w.
-7*w
Collect the terms in 42*z**3 - 146*z**3 + 2*z**2 + 44*z**3 + 45*z**3.
-15*z**3 + 2*z**2
Collect the terms in 466*o + 4752*o - 511*o + 20 - 20.
4707*o
Collect the terms in -9*u**3 - 4*u**3 - 15*u**3.
-28*u**3
Collect the terms in -1817*j - 1809*j - 1819*j + 5445*j - 7*j**3.
-7*j**3
Collect the terms in -23*h**3 + 3*h**3 - 8*h**3 - 12*h**3.
-40*h**3
Collect the terms in 198 + 2058*c**3 - 2059*c**3 - 98 - 100.
-c**3
Collect the terms in 31286*o**2 - 15682*o**2 - 15555*o**2.
49*o**2
Collect the terms in -2*n**2 - 24 + 4 + 3*n**2 + 263*n.
n**2 + 263*n - 20
Collect the terms in 3344*t**2 - 9 + 9 + 4288*t**2 - 339*t**2.
7293*t**2
Collect the terms in -11*v**2 - 65486*v + 65486*v.
-11*v**2
Collect the terms in -286*z - 300*z - 287*z + 876*z.
3*z
Collect the terms in 28 - 8 + 13*i**3 - 21.
13*i**3 - 1
Collect the terms in -758*r - r**2 + 758*r - 175*r**3.
-175*r**3 - r**2
Collect the terms in -9 + 1 + l + 17 + 43*l**3.
43*l**3 + l + 9
Collect the terms in 74*y**2 - 6631*y - 38*y**2 - 35*y**2 + 6631*y.
y**2
Collect the terms in 4196*n**2 + n - 4317*n**2 - n + 0*n.
-121*n**2
Collect the terms in -538 + 42*r + 538 - 22*r + 97*r.
117*r
Collect the terms in 1 + 1 - 23*l**3 + 1 - 3.
-23*l**3
Collect the terms in 267*x**3 + 397*x**3 - 769*x**3 + 420*x**3.
315*x**3
Collect the terms in 120 - 381 - 154*j + 133 + 128.
-154*j
Collect the terms in -405*h**2 + 19525*h + 576*h**2 - 19525*h.
171*h**2
Collect the terms in 277*g + 250*g + 366*g + 6*g.
899*g
Collect the terms in -44189308*f**2 + 22094653*f**2 + 22094654*f**2.
-f**2
Collect the terms in | {
"pile_set_name": "DM Mathematics"
} |
ive prob of picking 1 s and 1 t.
8/45
Three letters picked without replacement from {v: 1, u: 1, i: 1, x: 3, l: 1}. What is prob of picking 1 v, 1 x, and 1 i?
3/35
What is prob of picking 2 u when two letters picked without replacement from nxxbxnnxxnxxnnxunnun?
1/190
Two letters picked without replacement from {l: 2, h: 2}. Give prob of picking 2 h.
1/6
Calculate prob of picking 1 a, 1 f, and 1 n when three letters picked without replacement from zxyfafzyfynyy.
3/286
Two letters picked without replacement from {f: 1, b: 7, p: 2, g: 4, j: 3}. Give prob of picking 1 g and 1 f.
1/34
What is prob of picking 3 n when three letters picked without replacement from nrnnnnrrnnnrnnnnnnnr?
91/228
What is prob of picking 3 b when three letters picked without replacement from {b: 11, d: 9}?
11/76
Two letters picked without replacement from reerarcaererarrcrae. Give prob of picking 1 a and 1 e.
20/171
Three letters picked without replacement from ddcccccd. Give prob of picking 3 d.
1/56
Three letters picked without replacement from hfffffffrerhf. What is prob of picking 2 h and 1 f?
4/143
Calculate prob of picking 1 t, 1 l, and 1 w when three letters picked without replacement from xtslcxwtw.
1/21
Three letters picked without replacement from ndndndprrrdddn. What is prob of picking 1 p, 1 n, and 1 r?
3/91
Four letters picked without replacement from {c: 2, i: 3}. What is prob of picking 3 i and 1 c?
2/5
Calculate prob of picking 1 a, 2 p, and 1 h when four letters picked without replacement from {h: 2, a: 6, o: 2, l: 3, p: 5}.
2/51
Three letters picked without replacement from {r: 3, b: 7}. Give prob of picking 3 b.
7/24
Calculate prob of picking 1 o and 2 y when three letters picked without replacement from noyyyyxnnxyonyynyn.
7/102
Calculate prob of picking 2 d and 2 g when four letters picked without replacement from ddddddddddddgggddg.
91/510
Four letters picked without replacement from zzzzzzzzgzgwzgz. What is prob of picking 3 z and 1 w?
11/91
Two letters picked without replacement from {h: 1, o: 1, l: 4, k: 4, p: 1}. What is prob of picking 2 l?
6/55
Three letters picked without replacement from htohxhhhvxoxtorthvt. What is prob of picking 1 r, 1 t, and 1 x?
4/323
What is prob of picking 2 n, 1 q, and 1 k when four letters picked without replacement from {k: 8, r: 3, v: 2, q: 1, n: 2, j: 4}?
8/4845
Two letters picked without replacement from {g: 2, f: 1, e: 11}. What is prob of picking 1 f and 1 e?
11/91
Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bvdhzohd.
1/14
Two letters picked without replacement from eeeee. What is prob of picking 2 e?
1
What is prob of picking 1 x, 1 a, and 1 p when three letters picked without replacement from {a: 1, o: 1, h: 1, p: 1, x: 1}?
1/10
Calculate prob of picking 2 j when two letters picked without replacement from {j: 11, v: 7, d: 2}.
11/38
Four letters picked without replacement from {o: 2, q: 4, n: 1, e: 2}. What is prob of picking 1 e and 3 q?
4/63
Two letters picked without replacement from {t: 3, u: 11}. What is prob of picking 2 u?
55/91
What is prob of picking 2 x when two letters picked without replacement from zjxppxc?
1/21
Two letters picked without replacement from {s: 1, t: 3, j: 2, v: 1, c: 3}. What is prob of picking 1 t and 1 s?
1/15
What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaa?
1
What is prob of picking 1 d and 1 k when two letters picked without replacement from wdkkdkwiedkdddkki?
9/34
Calculate prob of picking 1 d, 2 l, and 1 f when four letters picked without replacement from {d: 9, e: 1, o: 3, l: 2, f: 2}.
9/1190
Calculate prob of picking 2 x when two letters picked without replacement from {x: 7}.
1
Three letters picked without replacement from hahhahah. Give prob of picking 2 h and 1 a.
15/28
Four letters picked without replacement from {i: 9}. Give prob of picking 4 i.
1
Two letters picked without replacement from rrraarr. What is prob of picking 1 a and 1 r?
10/21
What is prob of picking 2 o when two letters picked without replacement from okjllo?
1/15
What is prob of picking 1 g, 1 s, and 2 j when four letters picked without replacement from {x: 1, j: 2, z: 3, g: 4, s: 4, h: 1}?
16/1365
Two letters picked without replacement from {y: 7, i: 4, a: 5}. What is prob of picking 1 y and 1 i?
7/30
Two letters picked without replacement from hdhh. Give prob of picking 2 h.
1/2
Calculate prob of picking 2 r, 1 b, and 1 a when four letters picked without replacement from {a: 2, b: 1, r: 2}.
2/5
Two letters picked without replacement from {g: 7, h: 1, t: 4, n: 2, a: 2}. Give prob of picking 1 g and 1 t.
7/30
Two letters picked without replacement from addeauudacai. What is prob of picking 1 a and 1 i?
2/33
Four letters picked without replacement from xxxxwxxxww. Give prob of picking 3 x and 1 w.
1/2
What is prob of picking 1 w, 1 m, and 1 q when three letters picked without replacement from wwkmmwqsmmmm?
9/110
Calculate prob of picking 1 g and 3 d when four letters picked without replacement from {d: 14, g: 1}.
4/15
Two letters picked without replacement from {h: 19, y: 1}. Give prob of picking 1 y and 1 h.
1/10
Three letters picked without replacement from {k: 3, g: 12}. Give prob of picking 2 g and 1 k.
198/455
What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, q: 1, j: 2}?
1/3
Four letters picked without replacement from {k: 10}. Give prob of picking 4 k.
1
What is prob of picking 2 m and 2 l when four letters picked without replacement from llhlyymlmlyhylllllll?
22/1615
Three letters picked without replacement from dlubddvbddybbdbuby. Give prob of picking 1 v, 1 y, and 1 u.
1/204
Calculate prob of picking 2 j and 2 h when four letters picked without replacement from hhjkhkhhukkjhkhh.
1/65
Calculate prob of picking 4 a when four letters picked without replacement from vvvaaaa.
1/35
What is prob of picking 1 t and 2 o when three letters picked without replacement from {o: 13, t: 5}?
65/136
Four letters picked without replacement from lyxlyylllyyxyyyllxy. Give prob of picking 1 x and 3 y.
21/323
Three letters picked without replacement from bfcbbcxbfubccbcu. What is prob of picking 1 x and 2 u?
1/560
What is prob of picking 1 g and 1 z when two letters picked without replacement from gzgzgdygzzdgzzzdzz?
5/17
Two letters picked without replacement from {d: 1, o: 4, h: 3, x: 2}. Give prob of picking 1 x and 1 o.
8/45
Calculate prob of picking 2 q when two letters picked without replacement from {l: 2, k: 3, q: 4, p: 1, w: 1}.
6/55
Two letters picked without replacement from {c: 2, y: 1, p: 4}. Give prob of picking 1 p and 1 c.
8/21
What is prob of picking 1 t and 1 b when two letters picked without replacement from {m: 1, b: 1, t: 1}?
1/3
Two letters picked without replacement from {q: 3, i: 1, e: 1}. What is prob of picking 1 q and 1 i?
3/10
Three letters picked without replacement from irimyzyziyyyl. What is prob of picking 1 z, 1 y, and 1 r?
5/143
Three letters picked without replacement from qbnqnrndddbqboqr. What is prob of picking 1 r, 1 n, and 1 b?
9/280
Calculate prob of picking 1 o, 1 i, and 2 g when four letters picked without replacement from gihiioiighohiii.
16/1365
What is prob of picking 1 d, 1 s, and 1 k when three letters picked without replacement from {u: 1, k: 2, d: 3, t: 3, s: 2, e: 4}?
12/455
Three letters picked without replacement from {f: 1, r: 2, v: 4, d: 1}. Give prob of picking 2 v and 1 f.
3/28
What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 15, c: 3}?
5/17
What is prob of picking 3 h and 1 j when four letters picked without replacement from jjjhjjjjhjjjjhjjhjj?
5/323
Three letters picked without replacement from hhhhghhgghhhhhgghh. Give prob of picking 3 g.
5/408
What is prob of picking 1 i and 3 c when four letters picked without replacement from ccicccdccccu?
28/165
Two letters picked without replacement from bpp. What is prob of picking 1 p and 1 b?
2/3
What is prob of picking 2 y and 1 z when three letters picked without replacement from yyyyzyzy?
15/28
Calculate prob of picking 2 c, 1 e, and 1 u when four letters picked without replacement from cueeceeeee.
1/30
What is prob of picking 1 t and 1 j whe | {
"pile_set_name": "DM Mathematics"
} |
2141928*f**2 - 36*o
What is the first derivative of -926*f**3 - 90*f**2 - 2*f - 130873084?
-2778*f**2 - 180*f - 2
What is the third derivative of -651847051*r**3 + 15865*r**2 - 4196?
-3911082306
What is the third derivative of -57702451*h**4 - 20*h**2 - 3088012 wrt h?
-1384858824*h
What is the second derivative of -871*l**2*z**2 - 7808*l**2*z - l**2 - 190427*l*z**2 + 74*l wrt l?
-1742*z**2 - 15616*z - 2
Differentiate 33*k**2*z**3 - 149622313*k**2 + 1198*k*z**2 + 598*z with respect to z.
99*k**2*z**2 + 2396*k*z + 598
What is the second derivative of 7*s**3 + 10876922*s**2 + 564982850*s wrt s?
42*s + 21753844
Find the second derivative of 300101064*c**2 - 8*c - 3349764.
600202128
Find the third derivative of 26*s**5 + 150*s**4 - 21*s**3 - s**2 - 35122596*s wrt s.
1560*s**2 + 3600*s - 126
What is the first derivative of 27716105*y**2 - 493245916 wrt y?
55432210*y
What is the third derivative of -16*c**3*m**3 - 261327*c**3*m + 2*c**2*m**3 + 2*c*m - 137054*m**3 wrt c?
-96*m**3 - 1567962*m
Find the second derivative of 12*s**3 - 4859838*s**2 - 23*s - 569103.
72*s - 9719676
What is the second derivative of -2594784*m**2 + 5598608*m?
-5189568
Find the third derivative of 4*g**5 - 12381*g**4 - 4*g**3 - 7590359*g**2 wrt g.
240*g**2 - 297144*g - 24
What is the third derivative of 5938*h**5 - 101*h**4*q - h**2 + 2258*h + 1087*q wrt h?
356280*h**2 - 2424*h*q
Find the second derivative of -2863*a*l**4 + 13*a*l**3 - 8221188*a*l wrt l.
-34356*a*l**2 + 78*a*l
Find the second derivative of 92672*a*s**2 + 4*a*s - 4*a - 415*s**2 + 38*s + 16131 wrt s.
185344*a - 830
What is the third derivative of -3715340*u**5 + 169100*u**2 - u + 3 wrt u?
-222920400*u**2
What is the third derivative of -82*a**5*z - 91265*a**5 + 85391*a**2*z - 10*z - 1 wrt a?
-4920*a**2*z - 5475900*a**2
What is the second derivative of i**4 - 480736*i**3*j**2 - i*j**2 - i + 903*j**2 - 3*j + 105 wrt i?
12*i**2 - 2884416*i*j**2
What is the first derivative of -41121319*w + 33936362?
-41121319
Find the third derivative of 13742366*i**3 + 139630942*i**2 wrt i.
82454196
Find the second derivative of 114790093*h**3 - 32655*h + 822.
688740558*h
Find the third derivative of 513345677*m**2*r**3 + 335*m**2*r**2 - 135750*m*r**2 wrt r.
3080074062*m**2
Differentiate -649296676*o + 322389985 wrt o.
-649296676
What is the third derivative of -171254304*l**3 + 564094818*l**2?
-1027525824
What is the third derivative of 11396010*q**4 + 4*q**2 + 788347?
273504240*q
Differentiate 89699680*i + 96255155 wrt i.
89699680
Find the third derivative of -401397781*l**2*x**3 - 22812*l**2 - l*x**2 + 43*l*x wrt x.
-2408386686*l**2
Differentiate -33*j**4 - 2*j**3 + 5219*j**2 + 7471411 with respect to j.
-132*j**3 - 6*j**2 + 10438*j
Differentiate 16989*h**2*s**2 - 13*h**2*s - 2*h**2 - h*s**2 - 328352*h - 3 with respect to s.
33978*h**2*s - 13*h**2 - 2*h*s
What is the third derivative of 197553*j**3*p**2 - 20*j**3*p - 19802*j**2 + 116*p**2 wrt j?
1185318*p**2 - 120*p
What is the first derivative of -10*r*t + 1482830*r*w - 704*t*w - t - 771*w + 5 wrt r?
-10*t + 1482830*w
Differentiate 125329*o*t + 144229771*o + 259*t with respect to t.
125329*o + 259
Find the second derivative of 785284681*y**4 - 39604831*y + 4.
9423416172*y**2
Find the second derivative of -11*g**5 - 60513*g**4 - 33*g**2 + 121001439*g wrt g.
-220*g**3 - 726156*g**2 - 66
What is the first derivative of 489894023*s - 159684204?
489894023
Find the second derivative of 1083*m**3 - 2300*m**2 + 15935565*m.
6498*m - 4600
Differentiate 19*f**4*u**2 - 115322*f**4*u + 1966618*u**2 wrt f.
76*f**3*u**2 - 461288*f**3*u
Differentiate 47631*d**3 - 189*d**2 + 26355988 with respect to d.
142893*d**2 - 378*d
What is the derivative of 6343528*a**3 - 2*a*q**2 + 21757078*q**2 wrt a?
19030584*a**2 - 2*q**2
Find the third derivative of 2*c**6 - 186955808*c**5*u - c**2*u + 14*c**2 - 3*c*u + 2*c - 81*u + 764 wrt c.
240*c**3 - 11217348480*c**2*u
Find the second derivative of -4*k**2*o + 10*k**2*v**2 - 1530*k**2*v - 2*k**2 - 635*k*o*v**2 - 42*k*o*v - 6*k*v**2 wrt k.
-8*o + 20*v**2 - 3060*v - 4
What is the third derivative of -14283*d**3*n**3 + 3*d**3*n + 9*d*n**3 + 565644*n**2 wrt n?
-85698*d**3 + 54*d
What is the third derivative of -22*a**5*m + 8*a**4 + 58*a**3*m + 32930*a**2*m - 5*a**2 wrt a?
-1320*a**2*m + 192*a + 348*m
What is the second derivative of -17564069*t**3 - 7610*t + 164?
-105384414*t
Find the second derivative of 178487691*d**2 - 91998538*d.
356975382
What is the third derivative of -12255695*c**4 - 695*c**2 - 18084*c wrt c?
-294136680*c
What is the first derivative of 4985682*i**3*n + i**3 - i*n + 12532735 wrt n?
4985682*i**3 - i
What is the first derivative of 2948515*i*z + 84468*i + 1 wrt z?
2948515*i
Find the third derivative of 159981775*x**4 - 94911274*x**2.
3839562600*x
Find the first derivative of -2746656*n**2 + n - 14096209 wrt n.
-5493312*n + 1
What is the second derivative of 17*k**2*n**3 + 35*k**2*n**2 - 3*k**2*n - 519*k**2 - 3058*k*n**2 - 4*k*n - n**3 - 4*n**2 + 2*n wrt k?
34*n**3 + 70*n**2 - 6*n - 1038
What is the third derivative of -83987429*c**3*v + 1314*c**2 + 6*c*v - 45*v wrt c?
-503924574*v
Find the second derivative of 15987906*j**4 + 266392*j wrt j.
191854872*j**2
Find the second derivative of 2880780*l**4 - 10*l**2 + 655655812*l.
34569360*l**2 - 20
What is the second derivative of 1677761*g**2 + 2*g + 1706391 wrt g?
3355522
Differentiate 15*u**3 + 115073*u - 60434912 wrt u.
45*u**2 + 115073
Find the second derivative of 264853016*x**4 + 5555*x - 7901.
3178236192*x**2
What is the second derivative of -37562730*l**5 - 23578850*l wrt l?
-751254600*l**3
Differentiate 467702920*s + 1464052 wrt s.
467702920
Find the third derivative of -46826379*r**3 + 22688832*r**2.
-280958274
What is the third derivative of -70*i**5 + 147869*i**3 - 28636591*i**2 wrt i?
-4200*i**2 + 887214
Find the third derivative of 1462648*v**4 - 8*v**3 + v**2 + 10*v + 7309 wrt v.
35103552*v - 48
Find the third derivative of -7523996*u**4 + 59*u**2 + 2195 wrt u.
-180575904*u
Find the second derivative of 7447*d**4 - 160*d**2 - 1114*d + 2047.
89364*d**2 - 320
What is the first derivative of -k**4 + 90*k**2 - 69709*k - 12738765 wrt k?
-4*k**3 + 180*k - 69709
Differentiate 6*c**4 + 288*c**3 - 7*c**2 - 6*c + 2497331 wrt c.
24*c**3 + 864*c**2 - 14*c - 6
What is the third derivative of -20*b**4 - 856079*b**3 - 21575718*b**2?
-480*b - 5136474
What is the second derivative of -99460623*b**2 - 143325430*b wrt b?
-198921246
Find the second derivative of 300186*g*q**5 - 947*g + 6*q - 291 wrt q.
6003720*g*q**3
What is the second derivative of -20537067*m**2*v**2 + 2*m**2*v - 23*m**2 - 14*m*v - 2*m - 12*v + 2 wrt v?
-41074134*m**2
What is the second derivative of -104137*o**5 - 116*o**2 - 89599628*o wrt o?
-2082740*o**3 - 232
Find the second derivative of -2778174*g**4 + 56*g**3 + 502763462*g.
-33338088*g**2 + 336*g
Find the third derivative of -2*i**4 + 22360719*i**3 + 11537635*i**2 wrt i.
-48*i + 134164314
Differentiate -143716*p**2 + 1303*p - 97179265 wrt p.
-287432*p + 1303
Find the first derivative of -8133161*n**4 + 28322962 wrt n.
-32532644*n**3
Find the third derivative of 3*g**4 + 6189*g**3*z**2 + 426*g**3*z + 292*g**2*z + g**2 - 16*g*z**2 - 76*z**2 wrt g.
72*g + 37134*z**2 + 2556*z
Find the third derivative of -37795286*y**5 - 27114296*y**2.
-2267717160*y**2
What is the third derivative of 1346729917*c**5 + 203618668*c**2?
80803795020*c**2
What is the third derivative of 200789069*j**4 + 1255*j**2 + 35112*j wrt j?
4818937656*j
Differentiate 2*j*p**2 + 19*j*p + 281518391*j + 37*p**2 - 109*p wrt p.
4*j*p + 19*j + 74*p - 109
Find the first derivative of 467467318*m - 1197611147.
467467318
What is the third derivative of -3*i**6 + 1176655*i**3 - 2*i**2 - 6671401*i wrt i?
-360*i**3 + 7059930
Find the third derivative of -7194*j**3*o**3 + j**3*o**2 + 5*j**3 - 15441*j**2*o**2 + 3318*j*o**3 - 2*j + 2*o**3 - o**2 - 13*o wrt o.
-43164*j**3 + 19908*j + 12
Find the second derivative of 185879562*y**2 + 117940031*y + 1 wrt y.
371759124
What is the second derivative of -50303*l**3 + 2053*l**2 - 299070665*l?
-301818*l + 4106
What is the first derivative of 15188087*n**3 + 9252828?
45564261*n**2
What is the second derivative of -11*g**4 - 15*g**3 + 58*g**2 - 14353763*g wrt g?
-132*g**2 - 90*g + 116
| {
"pile_set_name": "DM Mathematics"
} |
ppose 9*c + 2964 = 5*l + 10*c, 2*c + 595 = l. List the prime factors of l.
593
Suppose 0 = u - 31*u + 33300. What are the prime factors of u?
2, 3, 5, 37
Let g(u) = -u + 20. Suppose -4*d + i = -29, 4*i = -2*d + 4*d - 4. List the prime factors of g(d).
2, 3
Suppose 8*m - 3*h = 3*m - 26, 24 = -4*m + 4*h. Let a be 0/m + 0 + 0. Suppose 5*z - 33 - 227 = -5*i, a = -i - 3. What are the prime factors of z?
5, 11
Suppose -3*r + 3*i = 15, 0*i + 20 = r + 4*i. Suppose 3*d - 80 = -a, -a + r*d = 5*d - 84. What are the prime factors of a?
2, 37
Suppose -2*d + 53 = -11. Let l(m) = 8*m - d*m - 19*m - 11*m + 3. List the prime factors of l(-1).
3, 19
What are the prime factors of (-1679)/(-4) - 2 - 51/68?
3, 139
What are the prime factors of (-6474)/(-21) + 6/(-21)?
2, 7, 11
Suppose 6*n - 2504 = -2*n. List the prime factors of n.
313
Let f = -742 + 1751. What are the prime factors of f?
1009
Let h(w) = w**2 - 17*w - 1. List the prime factors of h(-8).
199
Suppose q - 10 = -q. Let r be (-6)/(8/(5 - 9)). Suppose -q*l - 17 + 78 = r*w, 4*l - 5*w = 71. List the prime factors of l.
2, 7
Let v = 404 - 194. What are the prime factors of v?
2, 3, 5, 7
Let y = 17 - 12. List the prime factors of (-627)/(-15) - (-1)/y.
2, 3, 7
Suppose 0 = x - 2*p - 88, 0*x + p + 387 = 4*x. List the prime factors of x.
2, 7
Suppose -10*s + 5890 = 21*s. What are the prime factors of s?
2, 5, 19
Let d(o) = 13*o**3 + o**2 + 3*o + 1. Let k be d(-2). Let r = 194 + k. List the prime factors of r.
89
Suppose -n + 4*l + 3884 = 0, -n + 5*l = -3610 - 276. What are the prime factors of n?
2, 3, 17, 19
List the prime factors of ((-1136)/6)/((-48)/72).
2, 71
Let a(b) = 91 + 19*b - 32*b + 17*b. List the prime factors of a(0).
7, 13
Suppose -b = -6*b, 0 = -3*y - 4*b - 309. Let d = y - -213. What are the prime factors of d?
2, 5, 11
Let r = 1791 + -528. What are the prime factors of r?
3, 421
Suppose 0*v + v - 20 = -4*j, 3*j - 32 = -5*v. Suppose -12 = v*c - 6*c. What are the prime factors of 32 + (-5)/10*c?
29
Let a = 16 - 8. Suppose a*u + 37 = 7*u. Let n = 69 + u. List the prime factors of n.
2
Let x be -3 + 2 - (0 + -1). Suppose -p + 2*b = -17, 0 = -2*p - x*b + 5*b + 35. List the prime factors of p.
3, 5
Suppose -5*q - 2*r = r - 1150, r = -5*q + 1150. Suppose -8*f + 408 = 80. Suppose 4*w - f - 143 = 2*y, -5*w + 4*y = -q. List the prime factors of w.
2, 23
Let s be (-1 - 10/(-14)) + 1292/14. Suppose -d = 3*d - s. List the prime factors of d.
23
Let y be -10 + 6 - (-1 - -9). Let z(f) = -f**2 - 15*f - 1. What are the prime factors of z(y)?
5, 7
Suppose x - 15 = -5*f - 2*x, 2*f = x + 17. List the prime factors of (f/27 + 48/27)/1.
2
Suppose -5*t - 3285 = -5*n, -4*t - 1 = -5. List the prime factors of n.
2, 7, 47
Let d(u) = u**3 - 13*u**2 + 15*u + 10. Let x(y) = 2*y + 21. Let f be x(5). Let m = -19 + f. List the prime factors of d(m).
2, 23
Let p(k) = 3*k**2 - 5*k - 3. Let y be p(4). Let w(u) = u**3 - u**2 - 4*u - 4. Let r be w(3). Suppose 3 + y = r*a. What are the prime factors of a?
2, 7
What are the prime factors of ((-831)/6*-6)/((-19)/(-19))?
3, 277
Let t be (-321 - 0)/(1*2/(-4)). Suppose -8*x = -14*x + t. What are the prime factors of x?
107
Suppose -2*b - 5*t + 1524 + 498 = 0, 0 = 4*t - 8. What are the prime factors of b?
2, 503
Suppose 0 = -5*v - 3*y + 172, 49 + 57 = 3*v - y. Suppose -q + v = -2*q. What are the prime factors of 4/(-6) - q/3?
11
Suppose -3249 = -17*s + 168. What are the prime factors of s?
3, 67
Let j(g) = -501*g - 5. What are the prime factors of j(-1)?
2, 31
List the prime factors of (7488/54 - 5)*(1 - -20).
7, 401
Let q(b) = -2*b**3 - 25*b**2 - 29*b - 27. What are the prime factors of q(-12)?
3, 59
Suppose 51 = r - 608. List the prime factors of r.
659
Let s = 34 + -31. Suppose -s*t + 96 = t. List the prime factors of t.
2, 3
Let m be 616/4 + 2/(-1). Suppose f - 8 + 4 = 0. Suppose -q + z = -15, f*q + 4*z = m - 60. List the prime factors of q.
19
Let z be (-2)/(-4) - (-19)/(-2)*-5. Suppose 0 = -2*n - n + 3*k + z, -42 = -3*n + 5*k. List the prime factors of n.
19
Suppose 8 = 2*i - c - 0, -5*c - 22 = -i. Suppose -i*h + 7*h = 345. List the prime factors of h.
3, 23
Let y = 0 - 0. Let p(l) = -l - 6 + 0*l + 28. List the prime factors of p(y).
2, 11
Suppose 9*j - 874 = 7*j. Suppose 4*i = j - 125. List the prime factors of i.
2, 3, 13
Let y(z) = -61*z + 49. List the prime factors of y(-17).
2, 3, 181
Let n(k) = -21*k - 102. What are the prime factors of n(-25)?
3, 47
Suppose -315 = -4*k + 225. Suppose -5*p = -505 + k. What are the prime factors of p?
2, 37
Suppose 27*u = 24*u. Suppose u*j - 16 = -4*j. Suppose -4*z + 244 = -m, -4*z + j*m + 244 = -0*m. List the prime factors of z.
61
Let p = 4562 + -3194. What are the prime factors of p?
2, 3, 19
Suppose 760 = z - 18*d + 23*d, -4*z + 3084 = -2*d. What are the prime factors of z?
2, 5, 7, 11
Suppose 0*v + 3*o = -v - 2, 0 = 3*v + 4*o + 1. Let c be -2 + 6 + v + -87. Let b = c + 127. List the prime factors of b.
3, 5
Let t(j) = 85*j + 2. Let b be t(-2). Let f = b + 240. List the prime factors of f.
2, 3
Suppose 7*r - 43*r = -38268. List the prime factors of r.
1063
Let u(f) = 2*f**2 + 7*f + 5. Let c be (-6)/9 - (-20)/(-6). Let n be u(c). What are the prime factors of (20 - n)/(2 + -1)?
11
Let w(h) = 55*h**2 - 29*h - 157. What are the prime factors of w(-5)?
29, 47
Let o(s) = -571*s + 123. What are the prime factors of o(-5)?
2, 1489
Suppose -10782 = -31*o + 22*o. List the prime factors of o.
2, 599
Let p be ((-2)/(-3))/((-6)/(-27)). Suppose -5*a + m - p*m - 217 = 0, -5*a + 2*m = 233. List the prime factors of (3 + 0)/(a/(-300)).
2, 5
Let t = -20 - -100. List the prime factors of t.
2, 5
Let y(f) = 150*f - 317. List the prime factors of y(5).
433
Let d(i) = i**3 - 17*i**2 + 23*i + 128. What are the prime factors of d(16)?
2, 3, 5
Let b(d) be the second derivative of d**4/12 - 2*d**3/3 + 5*d**2/2 - 7*d. Let r(s) = s**2 + s. Let q be r(-3). What are the prime factors of b(q)?
17
Let f = 10 - 4. Suppose -5*z + 369 = -q, z - 70 = f*q - 2*q. What are the prime factors of z?
2, 37
Suppose -5*k - 4*o = -122, -4*k - 71 + 179 = -2*o. Suppose 5*t - 134 = k. Suppose 4 = 3*n - t. What are the prime factors of n?
2, 3
Let j(a) = -2*a**3 - 2*a**2 + a + 72. What are the prime factors of j(0)?
2, 3
Suppose -o + 3*o - 3*v - 774 = 0, 4*v + 774 = 2*o. List the prime factors of o.
3, 43
Suppose 0 = -10*f + 2*f + 40. Suppose 9 = t + 2*b - 45, -f*b - 195 = -3*t. What are the prime factors of t?
2, 3, 5
Let v be 33 + 0/2 + 2. Suppose 8*p = 6*p - a + 15, 0 = 4*a + 20. Suppose 0 = 5*y - p - v. What are the prime factors of y?
3
What are the prime factors of -3*(-5)/(15/(-4))*-52?
2, 13
Let f(m) = -m**3 + 7*m**2 + 2*m - 7. Let n be f(7). Suppose 0 = -n*y + 5*y + 88. Suppose -2*w + 0*w + y = 0. List the prime factors of w.
2, 11
Suppose -w + 0*h = -2*h - 8, -16 = 4*h. Suppose w = a - 12 - 2. What are the prime factors of a?
2, 7
Suppose -11*z + 2406 = -344. Suppose -5*n + 38 + 617 = 5*y, 2*y - z = 2*n. List the prime factors of y.
2
Let g(m) = -3*m**3 - 12*m**2 + 3*m - 8. Let x(f) = -2*f**3 - 11*f**2 + 2*f - 9. Let b(j) = 3*g(j) - 4*x(j). What are the prime factors of b(5)?
2, 23
Suppose 16 = y - k + 1, 0 = k + 4. Let u = -39 + y. Let v = -11 - u. List the prime factors of v.
17
Let d be 93/2*(-544)/51. Let w = 694 + d. List the prime factors of w.
2, 3, 11
Let q be ((-3)/4)/(5/60). Let x(i) = i**3 + 9*i**2 - 8*i + 6. Let p be x(q). Suppose 0 = -2*t - t + p. List the prime factors of t.
2, 13
Let z be (-7)/(-1) - (-27)/(-9). Let s = -1 + z. Suppose 24 = i - s*g - g, 4*i - 180 = -5*g. List the prime factors of i.
2, 5
Let y(x) = -3*x + 5. Suppose 4*i + 26 = -5*k, 4*i + 2*k = 4*k - 40. Let p be y(i). Suppose -4*o + p = 3*q, -6*q = -2*q - 5*o - 22. List the prime factors of q.
2
Suppose 155 = 5*g - 620. Suppose 2*i - g = i. Suppose 4*c = -5*x + 3*c + 139, 5*x - i = -5*c. List the prime factors of x.
3
Suppose -2*z - 23 = 5. Let c = 18 + z. What are the prime factors of (-15)/c*(2 - 6)?
3, 5
Let s(y) = -y**2 - 15*y - 38. Let d be s(-11). List the prime factors of 1244/d + (-68)/(-102).
2, 13
Suppose 0 = -5*a + b - 1320, -2*a + 2*b = -221 + 749. Let u = -83 - a. List the prime factors of u.
181
Let d be ((-15)/10 + 3)*(-8)/(-6). Suppose -4*t = d*k - 558, -2*k - 4 = -14. List | {
"pile_set_name": "DM Mathematics"
} |
r d.
-5
Solve -4*l - 5*y + 7 = 0, 2*y = -5*l - 2*y + 2 for l.
-2
Solve 3*q = 2*h + 8, -5*h + 240 - 253 = -4*q for q.
2
Solve 4*m - 11 = 3*x, -x = -3*m + 2 + 5 for x.
-1
Solve -5*c - 8 = -3*c - 2*b, -8 = -4*b for c.
-2
Solve -3*t - 15 = 4*b, 3*b - 15 = 3*t + 4*b for t.
-5
Solve -8*d = -s - 3*d - 16, 5*s - 1 = -2*d for s.
-1
Solve 0 = 5*d - 3*i + 13, 88*d - 2*i - 23 = 91*d for d.
-5
Solve -3*k + 19 = -2*z, -19 = -3*k - 4 for z.
-2
Solve -3*p = 9, 5*m + 39*p = 34*p - 25 for m.
-2
Solve 11*a + 48 = 7*a - 7*b, 5*b + 45 = -5*a for a.
-5
Solve 3*j = 2*m - 13, 4*j + 10 = 5*m - 6*m for m.
2
Solve 9*b - 10*b = -3*p + 14, 2*p = 2*b + 8 for b.
1
Solve 3*o - 2*p - 2 = 0, 3*o + 2*p - 2 - 8 = 0 for o.
2
Solve 4*x - 12 = 0, a + 37*x - 20 = 32*x for a.
5
Solve -11*h + 9*h - 9 = -5*n, 0 = h - n + 3 for h.
-2
Solve -t = -3*p - 11, 2*t = p - 3*t + 27 for p.
-2
Solve 3*l = 4*v - 8, 4*v - 13*l = -8*l + 8 for v.
2
Solve -62*f - 1 = -p - 61*f, 0 = 4*p + 5*f + 14 for p.
-1
Solve j - 19 + 0 = 5*s, -2*s = -j + 10 for s.
-3
Solve -v + 3*v = q - 4, 0 = -3*v + 5*q + 1 for v.
-3
Solve -4*l = 4*g - 8, 6*g + 3 = 10*g - l for g.
1
Solve -29*c + 24*c + 4*z = -1, -20 = 5*z for c.
-3
Solve -5 = -n + 8*q - 3*q, 5*n + 4 = -4*q for n.
0
Solve -3*k - 12 = 3*m, -2*k + 3 = 3*m + 10 for k.
-5
Solve 5*p + 7 - 30 = -y, -5*y = -5*p + 5 for p.
4
Solve -5 = -g + 2*b, 14*b - 17*b = -2*g + 8 for g.
1
Solve -3*r - 19 = 19*o - 17*o, 3*r - 6 = 3*o for o.
-5
Solve 20 = h - 5*m, -m = -3*h + 3*m + 27 for h.
5
Solve -5*u = 2*k + 13, -12 = 5*u + 3*k - 0 for u.
-3
Solve 40 = -5*i - 5*q, -6*q - 18 = 3*i - 5*q for i.
-5
Solve 4 = -s + x, 11*s + 4*x - 12 = 13*s for s.
-2
Solve -z = -4*m - 3, m - 3*m = -2*z for z.
-1
Solve -y = -5*u - 26, -24*u - 5*y - 10 = -21*u for u.
-5
Solve -4*n + 46 = -5*r + 19, -5*r - 21 = -2*n for r.
-3
Solve -2*t - 13 = 3*c, 3*c + 4*t = 5*c - 18 for c.
-1
Solve -3*x = -o - 16, 0 = 5*x - 2*o - 37 + 9 for x.
4
Solve -2*h + 5*m - 4 = m, -5*m = 5 for h.
-4
Solve 0*r + 4 = 4*r + 4*u, 4*u - 4 = -r for r.
0
Solve -3*m + 5*g = -6*m - 29, -3*g = 2*m + 18 for m.
-3
Solve -3 - 23 = -5*u + y, 18 = 3*u - 3*y for u.
5
Solve -2*j = -3*x + 4*x - 2, -4*x - 4 = 4*j for j.
3
Solve 5*y = -s + 5, -4*y + s + 19 = 6 for y.
2
Solve -3*n = -0*a + 4*a - 3, 0 = -n - 3*a + 1 for n.
1
Solve 5*y + 40 = -4*h, 22 = 3*y - 6*y - 2*h for y.
-4
Solve 5*z = 2*d - 11, -27 = 2*d + z - 20 for d.
-2
Solve -2*h = 2*n + 6 - 8, -3*n - 5*h = -5 for n.
0
Solve -4*o = -2*h + 14, -2*h + 5*o = -3*h for h.
5
Solve 0*g - 3 = 4*i + g, 4*g = 4*i + 8 for i.
-1
Solve 4*n + 18 = -2*z, -7 = 2*n - 3*z + 2*z for n.
-4
Solve -4*m + a + 2 = -2, -2*m - 4 = -2*a for m.
2
Solve -2*c = 5*q - 6 - 1, -3*c + 5*q = 2 for c.
1
Solve 2 - 6 = -2*v + z, 6 = -3*z for v.
1
Solve -2*m + 0*c - 2 = 4*c, c - 7 = -2*m for m.
5
Solve 2*c + 1 = -g, -3*c + 3 - 7 = -g for c.
-1
Solve 0 = -5*g + 9*y - 12*y + 17, 5*g - 3*y = -7 for g.
1
Solve -12 = 5*w + s - 0, -w - s - 4 = 0 for w.
-2
Solve 2*h - 3 = -3*c, -4*h - 3 = -c - 16 for h.
3
Solve -l + 3*l = -3*n + 5, 0 = -4*n + 12 for l.
-2
Solve -3*p + u + u + 3 = 0, 21 = 4*p + 3*u for p.
3
Solve -5*c + 63*r - 68*r + 10 = 0, r + 10 = 3*c for c.
3
Solve -2*i + 32 = -5*f + 2*i, -3*f = 4*i for f.
-4
Solve -5*l - 2*h = 26, -173*h = -174*h - 3 for l.
-4
Solve -u = 2*z - 10, z - 6*z - 4*u = -28 for z.
4
Solve 13*m - 2 = 17*m - 2*o, -3*o + 3 = 0 for m.
0
Solve -9*c + 4*c - 5*z + 5 = 0, -2*c = z - 4 for c.
3
Solve 4*q + 20 - 37 = -m, 0 = -2*m - 4*q + 22 for m.
5
Solve -2*s = -o + 6, 6*s - 10*s - 3*o = 2 for s.
-2
Solve 3*f = 5*k + 20, 389 = -3*k + 2*f + 377 for k.
-4
Solve 0 = -3*b + 2*j + 8, 30*b + 4*j + 16 = 29*b for b.
0
Solve -11*w - 15 = -8*w - v, -w - 2*v - 5 = 0 for w.
-5
Solve 40*z = 38*z + 8, 4*z = 2*l + 6 for l.
5
Solve 8*b + 4*j + j + 45 = 0, 0 = -4*b + 2*j - 18 for b.
-5
Solve -6 = -p - 3*f - 1, f + 7 = 4*p for p.
2
Solve 5*p + 5*r - 5 = 0, p - 6*r + 2*r + 19 = 0 for p.
-3
Solve -5*m + 3*w = -32, w = m - 4*m + 8 for m.
4
Solve 0 = -j - s + 1, -10 = -16*j + 12*j + 2*s for j.
2
Solve 3*v - 2 = -2*g, -24*v = -4*g - 22*v + 4 for g.
1
Solve -24 = -3*v + 3*o, -4 = 2*v - o + 4*o for v.
4
Solve -3*d = 4*g - 11, 0 = 5*d - 2*d + g - 14 for d.
5
Solve -4*g - 22 = -3*g - 4*p, 0 = -3*g - p - 1 for g.
-2
Solve -4*x = -n - 4*n + 9, 6 = -3*x + 3*n for x.
-1
Solve -3*k - 5*m - 53 = -60, -5 = -k + m for k.
4
Solve -2*r + 2*w - 8 + 4 = 0, 3*w = -5*r + 30 for r.
3
Solve -d + 0*l = -5*l + 29, 0 = 2*d + l + 3 for d.
-4
Solve 5*a + 20 = 80*x - 85*x, 2*x = 2*a - 12 for x.
-5
Solve -3*r - 2*k + 17 = 0, 18 = r - 4*k + 17 for r.
5
Solve -4*l = -9*l + 2*p - 8, 0 = -4*p + 16 for l.
0
Solve -3*f = 4*n - 20, 2*n = -f + n + 5 for f.
0
Solve -4 = -4*i - 4*z + 8, -5*z = -15 for i.
0
Solve -5*b + 94*u - 95*u = 7, 0 = -4*b - 2*u - 14 for b.
0
Solve 2*w = 5*h - 31, -9*h + 5*h = -20 for w.
-3
Solve -3*s = -5*w + 14, 0*s - 17 = 4*s - 5*w for s.
-3
Solve 7 = h - n, -3*h - 3*n + 34 = 25 for h.
5
Solve -5*u = 3*m - 22, 3*u + 7 = 5*m - 7 for u.
2
Solve -32*n - r + 12 = -30*n, -2*r = -2*n for n.
4
Solve 4*q + 9 = -l + 25, -5*q + 4*l + 41 = 0 for q.
5
Solve -110*w - c - 28 = -105*w, w + 5*c = -20 for w.
-5
Solve 10 = 5*z, 0 = 3*h - z - 5 + 4 for h.
1
Solve 4*c + o + 9 = 2*o, -3*o - 12 = c for c.
-3
Solve -5*g = -25, 25 = -5*r - 418*g + 423*g for r.
0
Solve -n + h = -4, 2*n + 95*h - 92*h = -2 for n.
2
Solve 0 = q + 20*w - 17*w + 4, 4*q = -2*w - 6 for q.
-1
Solve -8 = 3*o - y, 3*o + 0*y = -5*y + 4 for o.
-2
Solve -5*m - 8 = 3*g - 1, 5*g + m + 19 = 0 for g.
-4
Solve 4 = 11*v - 13*v, 5*i - 15 = -5*v for i.
5
Solve 2*f + 8 = g, 4*g - 2*g = -5*f - 2 for f.
-2
Solve -11*c + 2*l = -19*c + 16, 5*c - 4*l + 11 = 0 for c.
1
Solve -d - 2*x = -6*d - 9, -6 = 3*d - x for d.
-3
Solve 3*n + 19 = 4*i, 0 = i + 5*n - 4*n + 4 for i.
1
Solve 0 = 4*j + 5*w + 13, j = -6*w + 3*w - 12 for j.
3
Solve 2*m = -5*y + 1 + 1, 5*m + 4*y + 12 = 0 for m.
-4
Solve j + 2*a - 2 = 0, 152*j - 24 = 155*j - 4*a for j.
-4
Solve r - 3*o = 7, 4*r + o = 8*r - 17 for r.
4
Solve s + 3*r = 4*r - 4, 2*s = -5*r - 15 for s.
-5
Solve -c = -2*n, 2 = 2*c + n - 3 for c.
2
Solve 3*h = -4*q - 14, -3*q + 4 = 177*h - 182*h for h.
-2
Solve -9*w + c = -10*w - 3, 3*w + 5*c = -11 for w.
-2
Solve c + 21 = 2*k + 4*c, -5*c = 2*k - 31 for k.
3
Solve 5*x - 4*n - 2 = -7, -2*x - 2*n - 20 = 0 for x.
-5
Solve -5*u - 2*z + 20 = 0, 3*u - 2*z = -0 - 4 for u.
2
Solve 19*v = 20*j - 15*j - 9, -4 = 4*v for j.
-2
Solve t - 17 = -5*v, -7*v + 2*v + 5 = 5*t for t.
-3
Solve 0 = -4*t - 4*r - 16, 3*t + r + 5 = 3 for t.
1
Solve -j - 4 = -2*i - 6, -3*j + 6 = 2*i for j.
2
Solve u - 9 = 3*c, -4*u - 13*c + 20 = -17*c for u.
3
Solve w + 3*i + 5 = 0, -3*w - 5*i - 6 + 3 = 0 for w.
4
Solve 0 = -3*w + 53*t - 55*t - 15, 3 = w - 2*t for w.
-3
Solve -a - 2*g = 4*a + 20, -3*a - 2*g - 16 = 0 for a.
-2
Solve -t + 2*d - 12 = 0, -10*d = 5*t - 11*d + 24 for t.
-4
Solve -3*z + 5*w = 1 + 4, 2*z + 5*w + 20 = 0 for z.
-5
Solve 2*v = 4*h + 4*v + 18, 17 = -4*h - 3*v for h.
-5
Solve -3*t - 6 = -p, 0 = -4*p + 76*t - 75*t + 13 for p.
3
Solve 6*u - 2*u = 3*t + 9, -5*u - 2*t - 6 = 0 for u.
0
Solve -m = 4*g - 17, -3*g - g - 4*m + 32 = 0 for g.
3
Solve 5*k = -m + 48, -2*k - 6*m = -m - 33 for k.
9
Solve 6 = 2*h - x, 2*h = -5*x - 5 + 11 for h.
3
Solve -4*h + 6 = 3*s - 4, 4*s + 12 = h for h.
4
Solve -30*y + 27*y - 7 = -4*p, -5*y + 7*p = 12 for y.
-1
Solve -5*c + 5*h - 10 = 0, -2*h + 17 = -5*c + 10 for c.
-1
Solve 0 = -y + 5*k + 22, -3 = -4*y - k - 20 for y.
-3
Solve 0 = 2*v - l + 2, -v - 4*l = v + 2 for v.
-1
Solve 9 = 3*w + 5*i, 5*i = -3*w + 2*w + 13 for w.
-2
Solve 5*r - 4*a + 21 = 0, -3*r = -a - 2 + 16 for r.
-5
Solve -2*a - 4*r + 7 + 1 = 0, a - 4 = 2*r for a.
4
Solve -15 = -2*l + 5*k, 12 = -l - 0*l - 4*k for l.
0
Solve 5*j + 4*k - 23 = 0, j = 2*j + 4*k - 11 for j.
3
Solve -22 + 10 = -5*n + 2*j, -4*j = 4 for n.
2
Solve -22 = -w + 2*w - 5*m, 5*m = 25 for w.
3
Solve 4*t = -3*q + 15, -3*t = -0*t + 5*q - 25 for t.
0
Solve 4*f + 0*s - 24 = 2*s, -4 = s for f.
4
Solve 4*w + 2*u + 2 = -4, -u = -2*w + 7 for w.
1
Solve 2*n - 7 = w - 3*n, -4*w + 22 = 5*n for w.
3
Solve -4*p - y = -6, 4*p - 5*p - 3*y = 4 for p.
2
Solve -h + 4 = -3*i, 10*h + i = 8*h + 8 for h.
4
Solve 236*y - 235*y - 7 = -3*i, 12 = 4*y + 4*i for y.
1
Solve 2*v = -8, 5*v - 5 + 15 = -2*b for b.
5
Solve 5*q = -5*b + 15, q | {
"pile_set_name": "DM Mathematics"
} |
. Let u be r(-3). Let g = u + -43. What are the prime factors of g?
2, 3, 11
Suppose 686*g = 692*g - 4866. Let u = g - 290. What are the prime factors of u?
521
Suppose 2*h = 11*h + 18. Let z(a) = -a**2 - 2*a + 4. Let p be z(h). Suppose -p*j + 78 = -3*j. List the prime factors of j.
2, 3, 13
Let f(r) = -184*r**3 - 2*r - 1. Let b be f(-1). Let h = 53 + b. Suppose 5*q = 387 + h. What are the prime factors of q?
5
List the prime factors of (-48)/12 - (9 - 50*370).
7, 19, 139
Suppose 102 = -5*s - 183. What are the prime factors of 5/((-15)/45 + (-20)/s)?
3, 5, 19
Let r = 31529 - 20202. List the prime factors of r.
47, 241
Let u(x) = 3*x**2 - x - 11. Let y be u(4). Suppose 0 = y*i - 31*i - 830. List the prime factors of i.
5, 83
What are the prime factors of (2/12)/(26/446004)?
3, 953
Let n(d) = d**3 + 11*d**2 + 18*d + 6. Let t be n(-11). List the prime factors of (-9)/(2 - (-393)/t).
2, 3
Let p = 1682 + -200. Let v = 3096 - p. What are the prime factors of v?
2, 3, 269
Suppose 4 = 12*k - 8*k. Let t be (k/3)/((-185)/(-30) - 6). Suppose 0 = -3*n - 12, 2*n + 0*n = t*s - 34. List the prime factors of s.
13
Let m(d) be the second derivative of d**5/20 - 7*d**4/6 + 6*d**3 - 9*d**2/2 + 8*d + 2. List the prime factors of m(12).
3, 5
Let o(x) = -2*x**2 - 91*x - 261. List the prime factors of o(-36).
3, 47
Suppose -y + 90 = 5*y. Suppose -5*a = -v - y + 40, 2*v = -4*a - 6. What are the prime factors of 24/5*v*(-20)/(-8)?
2, 3, 5
Let a = 38 - 38. Suppose -3*l + 3 - 3 = a. Suppose 6*h - h - 405 = l. What are the prime factors of h?
3
Let c = 2885 + 2098. What are the prime factors of c?
3, 11, 151
Let r = 222 + -199. Suppose 5244 = r*i - 4*i. List the prime factors of i.
2, 3, 23
Let r = 12810 - 8670. Let o = -2761 + r. List the prime factors of o.
7, 197
Let i be 1/((-28)/(-55416)) + (-1)/7. Let w = i - 1335. What are the prime factors of w?
2, 7, 23
Suppose 5*c - 1555 = 2*k, 0 = 11*c - 13*c - 5*k + 651. Let y = 655 - c. List the prime factors of y.
2, 3, 19
Suppose -12*k + 4129 = j - 10*k, -4*j + 16510 = 5*k. What are the prime factors of j?
3, 5, 11
Suppose 17 = 5*b - 28. Suppose 5*i + o = b*i - 2572, -4*o + 2572 = 4*i. What are the prime factors of i?
643
Let b(f) = 34*f**2 + 17*f - 10. List the prime factors of b(-6).
2, 139
Suppose -851*q = -847*q + 5*v - 90390, -22566 = -q + 4*v. List the prime factors of q.
2, 3, 5, 251
Let d(h) = h**3 + 7*h**2 + 7*h + 2. Let t be d(-4). Suppose w - 7*g = -2*g - 17, 0 = 4*w - 2*g - t. List the prime factors of (106/w)/((-3)/(-36)).
3, 53
Let p(n) be the first derivative of -n**3/3 + 3*n**2 - n + 3. Let t be p(6). Let a(d) = -38*d**3 + 2*d + 2. List the prime factors of a(t).
2, 19
Let f(x) = 14*x - 23. Suppose 75 = 10*w - 5. Let b be f(w). Suppose -j - 5*s + b = 0, -2*j + 0*s = 4*s - 172. What are the prime factors of j?
2, 3, 7
Suppose -p = 9*l - 6*l - 275, 2*p = -2*l + 530. Let r = p - -553. What are the prime factors of r?
3, 271
Suppose 5*s + w = 334, 2*s - s = 2*w + 69. Let c = -64 + s. Suppose -c*b = -363 + 66. List the prime factors of b.
3, 11
Let q = -12956 + 22004. What are the prime factors of q?
2, 3, 13, 29
Let g(c) = 63*c**3 - 2*c**2 - 3*c + 1. Let x be g(-2). Let v = x + 892. List the prime factors of v.
3, 43
Suppose -k + 214 - 213 = 0. Let v be 1 + k - (-10 + 7). What are the prime factors of ((-358)/(-12) + v/30)*7?
2, 3, 5, 7
Let y(k) be the third derivative of -k**5/60 + k**4/8 - k**3/6 - 21*k**2. Let j be y(3). What are the prime factors of (-69 - 16)/((-2)/(-4) + j)?
2, 5, 17
Let b be (-7)/(-21) + 2/3. Let s be (b + 0)*(1 - -2*2). Suppose 1209 = s*p + 254. What are the prime factors of p?
191
Let v be ((1 - 3) + 0)*5/(-10). Let q(w) = 7*w + 3 + 4 - 7 + v. What are the prime factors of q(4)?
29
Let y = 533 + -143. Suppose -2*k - 2*u = -4 - 12, 4 = 3*k - u. Suppose 0*b + k*b - y = 0. What are the prime factors of b?
2, 5, 13
Suppose u + 29 - 164 = 0. Suppose 5*v - u = -4*v. What are the prime factors of v/(-2)*(-540)/50?
3
Let s be 3/(24/(-7864)) + -5. Let a = s + 2085. What are the prime factors of a?
1097
Suppose -7*o + 4*o = 462. List the prime factors of ((-66)/(-2))/(21/o*-1).
2, 11
Let n(g) = -g**3 + 6*g**2 + g - 4. Let b be n(6). Suppose -2*t - 3*l = -547, b*t - 2*l + 43 = 595. What are the prime factors of t?
5, 11
Suppose 182*r - 3575613 = -37*r. What are the prime factors of r?
29, 563
Let s = 13018 + -3926. What are the prime factors of s?
2, 2273
Let m be (-16 + 11 + -167)*1*-1. Let x = 334 - m. List the prime factors of x.
2, 3
Let i(q) = -64*q**3 + 8*q**2 + q + 10. List the prime factors of i(-5).
3, 5, 547
Suppose 4*f = 3*k + 2582, -8*f + 2568 = -4*f + 4*k. Let i = f - -218. List the prime factors of i.
2, 431
Let n be (-2 - (-6 - -5)*105) + 4. Let a = 262 - n. What are the prime factors of a?
5, 31
Suppose -4*m + 260 = -9*a + 6*a, -a = 3*m - 182. Suppose -h = -5*h + 16. Suppose 2*i = 5*i - 5*g - 203, i = -h*g + m. What are the prime factors of i?
2, 3, 11
Suppose 0 = 157*n + 50502 - 2602380. What are the prime factors of n?
2, 3, 7, 43
What are the prime factors of (-5115)/31*1*31*-5?
3, 5, 11, 31
Suppose 3*q + 44179 = 4*o, -q + 45322 = 4*o + 1147. List the prime factors of o.
2, 11, 251
Let p(n) = n**3 + 3*n**2 - 8*n + 118. Let r be p(13). Suppose -17*q = -8*q - r. What are the prime factors of q?
2, 151
Let s be -3 + -4 + (223 - 1). Let i be 42/35*s/2. Suppose 5*y - i = -0*y - 4*u, -79 = -3*y - 2*u. List the prime factors of y.
29
Suppose -26*m + 28*m - 14 = 0. Suppose -m*x - 16*x + 6578 = 0. What are the prime factors of x?
2, 11, 13
Let k(a) = 2377*a - 3257. What are the prime factors of k(6)?
5, 31, 71
Let h(l) = l**2 - 9*l + 10. Let k be h(1). Suppose 4*q = -4*r + 1544, 0*r = q - k*r - 392. What are the prime factors of q?
2, 97
Suppose 2*b + 4*t = 7*b + 285, 2*b + 126 = 4*t. Let v = -47 - b. List the prime factors of (v/15)/((-2)/(-600)).
2, 3, 5
Let y be (-16)/(-6)*(25/(-2) - 1). Let o = -33 - y. Suppose d + 322 = 2*r, -o*d + 644 = 4*r - 8*d. What are the prime factors of r?
7, 23
Suppose 160 = p + 4*o, -7*o = -3*o + 20. Suppose -5*h + 1518 = k, h + p - 480 = k. List the prime factors of h.
3, 101
Suppose 6*t + 7*t = -78. Let z(c) = c**3 + 4*c**2 - 7*c - 9. Let f be z(t). Let k = f + 155. List the prime factors of k.
2, 29
Suppose -10*d = -3*d - 4942. Let n = d + -430. List the prime factors of n.
2, 3, 23
Suppose 43 = -2*h + 595. Suppose -2*u + h = -570. List the prime factors of u.
3, 47
Let z = 538 - 148. Let s(q) = -q**3 - q**2 - 4. Let m be s(-2). Suppose m = 10*u - 5*u - z. List the prime factors of u.
2, 3, 13
Let q = 5619 - -2110. List the prime factors of q.
59, 131
Let l(z) be the first derivative of z**3/3 - 5*z**2 + 43*z - 61. What are the prime factors of l(17)?
2, 3
Let u(n) = -n**3 - 7*n**2 - 12*n - 2. Let l be -2 + (13 - 1)/(-4). List the prime factors of u(l).
2
List the prime factors of (16952/(-78))/((-8)/264).
2, 11, 163
Let v(x) = x**3 + 17*x**2 + 2*x + 44. Let d be v(-17). Let u(i) = 26*i - 155. What are the prime factors of u(d)?
3, 5, 7
Let r = -1551 + 7341. List the prime factors of r.
2, 3, 5, 193
Let v(f) = 221*f**2 - 2*f + 118. What are the prime factors of v(19)?
79861
Let n be ((-34)/14 - -3)/(6/42). Suppose 6*b - n*d - 936 = 4*b, 5*b - 4*d - 2322 = 0. What are the prime factors of b?
2, 3, 7, 11
Suppose 3*d - 4*z = 23, 3*d - 5*d + 20 = 2*z. Suppose -d*j + 228 = -240. What are the prime factors of j?
2, 13
Let b = -1278 + 6562. Suppose 5*y + 2059 - b = 0. List the prime factors of y.
3, 5, 43
Suppose -17*a = -2*u - 22*a + 24516, u - 12243 = 5*a. What are the prime factors of u?
12253
Suppose -6*x + 3*x + 6 = 0. Suppose -6*c = -x*c - 12, -13 = -g - 3*c. Suppose -8*d + g*d = -16. What are the prime factors of d?
2
Let p(n) = 7*n - 9. Let i be p(3). Let f = -18 + i. What are the prime factors of (4/f)/((-10)/735)?
7
Let l be -8*((-6)/(-4) - 4/2). Suppose -4*g - 12 = 4*c, -l*c + 4*g - 24 = 2*g. What are the prime factors of ((-20)/6)/c + 530/6?
89
What are the prime factors of ((-8)/20)/((-5)/427300)?
2, 4273
Let m(p) = 13*p**2 - 14*p - 34. Let a be m(11). Let n = -545 + a. What are the prime factors of n?
2, 3, 5, 7
Suppose -10*d = -782 - 328. Suppose 2725 = -d*y + 116*y. List the prime factors of y.
5, 109
Suppose -4*n + 47265 = h, -3*n - 4042 | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((sqrt(10) + sqrt(20)/sqrt(2))*-1 - -4*1*sqrt(10))/(6*(sqrt(242) + (-2*sqrt(242) - sqrt(242))) - sqrt(242)).
-2*sqrt(5)/143
Simplify (sqrt(95)/(sqrt(25)/sqrt(5))*-5 - sqrt(76)/(sqrt(4) + sqrt(36)/(sqrt(72)/sqrt(8)) + sqrt(4)))**2.
4864/9
Simplify (((sqrt(70) - (sqrt(70)*-1 - sqrt(70)))*3 - sqrt(70)*2*-4)/(sqrt(90) - (sqrt(90) + 4*(sqrt(90) - 3*sqrt(90)))))**2.
2023/576
Simplify (sqrt(21) - sqrt(189)*-1)/sqrt(7) - (2*sqrt(243))**2*-5.
4*sqrt(3) + 4860
Simplify -1*(sqrt(20)/(sqrt(4) - (sqrt(100) - (sqrt(100) - -1*sqrt(100)))) + (sqrt(80) - (1 + sqrt(405)))).
1 + 29*sqrt(5)/6
Simplify ((2*sqrt(5808))/(sqrt(12)/sqrt(12))*1)**2*-1.
-23232
Simplify 6*(sqrt(51)/(sqrt(9)/sqrt(3)) - ((-1*sqrt(119))/sqrt(7))**2) + (0 + 0 + sqrt(1088))**2 + -1.
6*sqrt(17) + 985
Simplify 4*(sqrt(693)/(sqrt(11) + sqrt(1100)*1 + sqrt(1100)) + -4*(sqrt(63) + 0) + 6*-1*sqrt(63))**2.
174724/7
Simplify (1*-6*(sqrt(66) - (sqrt(66) + (sqrt(66) - 2*sqrt(66) - sqrt(66)))))/(sqrt(162)/sqrt(3) + (sqrt(84)/sqrt(2))/sqrt(7) + sqrt(6)) + -5.
-12*sqrt(11)/5 - 5
Simplify (2*(2 + sqrt(3) + 3) + -3)*-2.
-14 - 4*sqrt(3)
Simplify (1*(sqrt(11) - -2*sqrt(1584)))**2 - (((sqrt(11) + sqrt(66)/sqrt(6))*6)**2 + 3).
5288
Simplify -5 + (5 + 2*sqrt(684))**2*1 + 0.
120*sqrt(19) + 2756
Simplify 4*((1 + (sqrt(147) - sqrt(3)))**2 + -4 - (2*4*sqrt(147))**2).
-37212 + 48*sqrt(3)
Simplify (1*(sqrt(85) - 1*2*sqrt(85)))/(-6*sqrt(125)*-1).
-sqrt(17)/30
Simplify (4*(-1 + sqrt(539) + -1))**2 + 4*((sqrt(539)*2 + 0 + sqrt(539))**2 - sqrt(539)) + -4.
-476*sqrt(11) + 28088
Simplify sqrt(7) - sqrt(42)/sqrt(6)*-4 - sqrt(252)*3 - 5*((5*(sqrt(7)*-1)**2 - sqrt(7)) + sqrt(7) + sqrt(7) + (1 + sqrt(7) - sqrt(7))*2 + sqrt(7)).
-185 - 23*sqrt(7)
Simplify (sqrt(192)/((sqrt(24)/sqrt(3) + sqrt(8))*2))/((sqrt(768) - sqrt(768)*-2)*4).
sqrt(2)/384
Simplify (-5 + 2 + sqrt(17) - (-2 + sqrt(272))**2)*-6.
-102*sqrt(17) + 1674
Simplify (1 + -6*-6*(sqrt(1372) + -1) + 3)**2.
-32256*sqrt(7) + 1779136
Simplify ((3*sqrt(135))/sqrt(9))/sqrt(3) - (sqrt(5)*1 + -2 + 0).
2 + 2*sqrt(5)
Simplify (-1*(-2 + sqrt(1900))*-1)**2 + -5.
-40*sqrt(19) + 1899
Simplify -3 + (6*(sqrt(162) + -4 + sqrt(162)*1 + sqrt(162)) + -5)**2*-4.
-213319 + 37584*sqrt(2)
Simplify 4 + ((sqrt(684) + -1)*2 + sqrt(684) - (3*(-2 + sqrt(684)))**2) + 3.
-6187 + 234*sqrt(19)
Simplify ((sqrt(432) + sqrt(432) + 1)*6 + -4 + sqrt(75) + 3)**2.
1490*sqrt(3) + 66628
Simplify (6*(4 + 3*(0 + sqrt(1088)) + sqrt(1088) + (sqrt(1088) + -1 + sqrt(1088))*-6) + 1)**2.
-46848*sqrt(17) + 2510473
Simplify (((-3*-2*sqrt(66))/sqrt(6) - ((sqrt(1331)*-1 - sqrt(1331)) + 2))*3)**2.
-1008*sqrt(11) + 77652
Simplify ((1*sqrt(2057) + 0 + 4 + sqrt(2057) + -1 + sqrt(2057))*5*-5)**2.
123750*sqrt(17) + 11576250
Simplify ((sqrt(567) - 3*sqrt(567))/sqrt(9))/(3*sqrt(225)).
-2*sqrt(7)/15
Simplify (sqrt(75)*-1 - (sqrt(72)/sqrt(2))/sqrt(12) - (1 + -3 + sqrt(147)))**2*5.
-260*sqrt(3) + 2555
Simplify (sqrt(245) + 1 - ((sqrt(245)*-1)**2 + sqrt(245))) + (sqrt(625)*2 + sqrt(625) - sqrt(625))/sqrt(5) + -5.
-249 + 10*sqrt(5)
Simplify (sqrt(1404) - 2*sqrt(1404))/(sqrt(3)*2*-6).
sqrt(13)/2
Simplify (sqrt(1300) + (2*sqrt(1300))**2*-6)*-5 - ((6*(sqrt(1300) - (sqrt(1300) + 0)))**2 + -3).
-50*sqrt(13) + 156003
Simplify ((sqrt(10) - (sqrt(50)/sqrt(5) + sqrt(10)))*5 - sqrt(10))/((sqrt(10)*-2)/sqrt(2)) + -1.
-1 + 3*sqrt(2)
Simplify -4*(2 + (sqrt(11) - sqrt(11)*-2) + sqrt(11)) + -1 + sqrt(275) + sqrt(22)/(sqrt(2) - (sqrt(2) - (sqrt(32) + sqrt(2)))).
-54*sqrt(11)/5 - 9
Simplify (-5 + ((sqrt(117)*2 + sqrt(117))*1 + sqrt(117))/(2*sqrt(81)))*-3.
-2*sqrt(13) + 15
Simplify 4*((2*(2 + sqrt(363) + 4))**2 + -5 + 1).
2112*sqrt(3) + 6368
Simplify -3 + -3 + 4*(sqrt(847) + (sqrt(847) + 2 + sqrt(847))**2).
396*sqrt(7) + 13562
Simplify -1 + (-5*(sqrt(272)*-3 + 1))**2.
-600*sqrt(17) + 61224
Simplify ((sqrt(576) - (sqrt(576) - (2*sqrt(576) - sqrt(576)))*-4)/(-3*1*sqrt(968) - sqrt(968)))**2.
9/242
Simplify (0 + sqrt(99)*1 - (sqrt(99) - (-3 + sqrt(99)*-1) - sqrt(99)))**2*-3 + 1.
-26
Simplify (2 + sqrt(52))*-2 + (sqrt(13) + ((sqrt(91)*1)/sqrt(7))**2)*-2.
-30 - 6*sqrt(13)
Simplify 4*(sqrt(468) - (sqrt(468) + 3*sqrt(468))*-6)**2.
1170000
Simplify -2 + ((sqrt(44) - (sqrt(352) + sqrt(352) + -2*sqrt(352))/sqrt(8))*-3 - ((sqrt(396) + sqrt(396) + sqrt(396)*-2)*-6)/sqrt(9))**2.
394
Simplify (1*(1 + 4*(2 + 0 + sqrt(75))))**2.
360*sqrt(3) + 1281
Simplify (((2*(sqrt(357) - (sqrt(357) - (sqrt(357) - (sqrt(357) - (sqrt(357) - sqrt(357)*-1))))))/sqrt(7))/(6*(-1*sqrt(243) - sqrt(243))))**2.
17/729
Simplify -5 + (sqrt(3) - (sqrt(75) - sqrt(75)*-2) - (-2 + sqrt(15)/sqrt(5)))*-6.
-17 + 90*sqrt(3)
Simplify 2 + (sqrt(128) - ((sqrt(128)*-1)**2 + sqrt(128))*1) + -3.
-129
Simplify -2*(((sqrt(38) - (sqrt(38) + sqrt(114)/sqrt(3)))*-3)/sqrt(2))**2*-5.
1710
Simplify (((sqrt(441) - (-1*sqrt(441) - sqrt(441)))*-2 - sqrt(441))/sqrt(9))/(4*-2*(sqrt(7) + sqrt(28))).
7*sqrt(7)/24
Simplify ((((sqrt(108)/sqrt(3) + sqrt(36))/sqrt(2))/sqrt(9) - ((sqrt(1152)*2)/sqrt(4))**2) + -5)*-6.
-12*sqrt(2) + 6942
Simplify ((sqrt(2299)*2 + -3 + -2 + sqrt(2299) + -2 + sqrt(2299))*-2)**2.
-2464*sqrt(19) + 147332
Simplify (((sqrt(64)*-2 - sqrt(64))*-3 + sqrt(64))/sqrt(8))/(1*(-2*sqrt(16) + sqrt(4))).
-10*sqrt(2)/3
Simplify -2*(((3 + sqrt(153))*-3 - sqrt(153)*3*-6) + 2)**2.
-68948 + 1260*sqrt(17)
Simplify (4*(sqrt(475) + (sqrt(475) - (0 + -2*sqrt(475))) + (sqrt(475) - ((sqrt(475) + -2*sqrt(475))*1 + sqrt(475)))))**2*-6 + -2.
-1140002
Simplify (sqrt(352)*5 - sqrt(352))/(-1*sqrt(176)).
-4*sqrt(2)
Simplify (sqrt(2736) + -1 + 4)**2*2 + -6*sqrt(38)/sqrt(2)*-3*-4.
72*sqrt(19) + 5490
Simplify ((-2*sqrt(495))/(1*sqrt(396)))**2.
5
Simplify -6*(4*-3*sqrt(66))/(sqrt(3888)/sqrt(8) + sqrt(6)).
36*sqrt(11)/5
Simplify (-2 + (sqrt(1377) + -1)**2)*-1 - (-1*sqrt(1377)*-1 + 5)**2.
-2778 - 72*sqrt(17)
Simplify 4 + (-2 + ((2*sqrt(280))/sqrt(8))/(5*-5*sqrt(5)))**2.
8*sqrt(7)/25 + 5028/625
Simplify (5*1*sqrt(2) - sqrt(288))*-5.
35*sqrt(2)
Simplify ((-2*(sqrt(4) - sqrt(4)*1))/(sqrt(64)/sqrt(2)))**2 + ((sqrt(6)/sqrt(3) + -1)**2 - (sqrt(10)/(sqrt(45) + sqrt(5)) + sqrt(2))).
-13*sqrt(2)/4 + 3
Simplify (5*(-2 + (sqrt(19) + sqrt(95)/sqrt(5))*2))**2*-3.
-23100 + 1200*sqrt(19)
Simplify -1 + 4*(4 + sqrt(98)) + 3.
18 + 28*sqrt(2)
Simplify -5 + (5 + sqrt(80)*-1 - ((sqrt(80) - (sqrt(80) + 2)) + 1))**2.
-48*sqrt(5) + 111
Simplify ((sqrt(65) + (sqrt(65) + sqrt(65)*2*-3 - sqrt(65)) - ((1*2*sqrt(65) - sqrt(65)) + sqrt(65)))/(sqrt(20)*-1 - (sqrt(405)*-2 - sqrt(405))))**2.
637/625
Simplify ((3 + 2 + sqrt(180) + sqrt(180) + -1)*-3*-5)**2.
21600*sqrt(5) + 165600
Simplify 2 + 4*(-1*sqrt(375) - sqrt(15))/((sqrt(363) - sqrt(363)*-1) + sqrt(363)).
-8*sqrt(5)/11 + 2
Simplify ((5*sqrt(288))/sqrt(12))/(sqrt(80)/(sqrt(10)*-5)).
-25*sqrt(3)
Simplify (-5*((sqrt(176)*-4)/sqrt(4)*6 + -2))**2.
4800*sqrt(11) + 633700
Simplify 4 + sqrt(22)/sqrt(2)*-6 + 5 + 1.
-6*sqrt(11) + 10
Simplify (sqrt(80)/(sqrt(4)*2) - (-2*sqrt(2880) + sqrt(2880) - sqrt(2880))**2)*6*-4.
-24*sqrt(5) + 276480
Simplify (-4*((sqrt(390) + -2*sqrt(390))/sqrt(10) + sqrt(39)))/((4*(sqrt(48) + sqrt(3)) + sqrt(3))*-5) + 2.
2
Simplify sqrt(68)/((sqrt(144) - (sqrt(144) + sqrt(144)*-2)) + sqrt(4)) + 2 + 3*1*sqrt(17).
2 + 40*sqrt(17)/13
Simplify (4*sqrt(832) + 5 - (-5*(-2 + sqrt(832)) + sqrt(832)))*-3.
-192*sqrt(13) + 15
Simplify (sqrt(5) - (sqrt(5) - sqrt(35)/(sqrt(28)/sqrt(4)))) + sqrt(500) + 2 + sqrt(500) + (sqrt(45))**2 + 1 + (sqrt(20)*-5)**2.
21*sqrt(5) + 548
Simplify (0 + 1*sqrt(288) + -2*1*sqrt(288) + sqrt(288) + (sqrt(288) + 5 + sqrt(288) + (sqrt(288) - sqrt(288)*2) - (-1 + sqrt(288) + sqrt(288) + 0)))**2.
-144*sqrt(2) + 324
Simplify (2 + -2*(2 + sqrt(2))**2)*-4 - ((sqrt(98) + -2 + sqrt(98))**2 + 5 + 4).
-365 + 88*sqrt(2)
Simplify (-1 + (4 + sqrt(4050))**2)*-6.
-24390 - 2160*sqrt(2)
Simplify sqrt(432) + (-3*(sqrt(432) + 1))**2 - ((0 + sqrt(432) + sqrt(432))**2 + -3) - (-2 + sqrt(432) + -3)*1.
216*sqrt(3) + 2177
Simplify -5 + -6*((-4 + sqrt(245) + sqrt(245)*1)**2 + (sqrt(245) + 2 + 0)**2).
-7475 + 504*sqrt(5)
Simplify (sqrt(76) - 2*-2*sqrt(76) - sqrt(76) - (sqrt(76) - (-2*sqrt(76) + sqrt(76)) - sqrt(76))*-4)/(sqrt(36)/(sqrt(99)/(sqrt(11)*-1)))*5.
-40*sqrt(19)
Simplify (-4 + -2*(sqrt(156)/sqrt(4)*-1)/(sqrt(432)*-1))*-2.
sqrt(13)/3 + 8
Simplify (4 + ((sqrt(252) + -1)*-5 + 4 + -4)*-5)**2.
-63 | {
"pile_set_name": "DM Mathematics"
} |
-348*c + 4, -4*c + 4 = 5*k. Solve k = -24*t + 28*t - v + 18, 4*v = 4*t + 12 for t.
-5
Suppose k - 11 + 5 = -t, -2*t = -3*k - 2. Solve 3*l = k*n - 9, 5*n = 19*l - 20*l - 3 for l.
-3
Let s(b) = 1867*b + 7481. Let z be s(-4). Solve -100*w - u + z = -96*w, -5*u - 19 = -w for w.
4
Let k be (0/((-25)/(-5)))/(-4). Suppose -c - 16 = -5*z, 4 = 3*z - k*c - 2*c. Solve 0 = 3*w + 3*g - 18, -g = z*w - 15 + 6 for w.
1
Suppose 21*q - 81 - 45 + 63 = 0. Solve -4*s = -x - 4, -q*s = -136*x + 141*x - 3 for s.
1
Let h be 7 + (43 + -15 - 15). Solve -4*x - 4*r + h = 0, r = 2*x - r + 10 for x.
0
Suppose -48*n + 33*n = 15. Let f be n/(6/(126*-1)). Solve -4*v = s - 7, -f = 5*s - v + 7 for s.
-5
Suppose -1 = 2*o - 9. Suppose 4*b = 19 - 3. Suppose 29 = 20*h + 9*h. Solve -5*f + o = b*q, h + 0 = q for f.
0
Suppose -115*i - 15 = -116*i + 3*c, 2*c = -10. Solve 2*g = p - 12 + 16, 4*p - g - 5 = i for p.
2
Let i(u) = u**3 + 4*u**2 + 3*u + 3. Let m be i(-2). Suppose j + 2*r = m, -j - 2*j - r + 15 = 0. Solve -12 = q + 3*o, -5*q - j = -4*o - 2 for q.
-3
Let q(j) = -3*j**3 + 7*j**2 - 8*j + 7. Let l be q(4). Let n = 111 + l. Solve r + n = -d, 5*d - 4*r = 4*d + 14 for d.
-2
Suppose 0 = 6*h - 11*h + 60. Suppose h*r + 135 = -3*r. Let z(j) = j + 13. Let i be z(r). Solve 3*f - 2*x = -4, -f + 5*x = -i*f - 11 for f.
-2
Let z(r) be the second derivative of r**3/6 - 10*r**2 - 99*r. Let i be z(22). Solve 2*a + 28 = 5*v, i*v - 3*a - 11 - 9 = 0 for v.
4
Let b(n) = 5*n**2 + 2*n + 125. Let x(h) = -14*h**2 - 7*h - 375. Let o(j) = 17*b(j) + 6*x(j). Let d be o(16). Solve 3*p + 12 = 4*t, t - 4 = -d*p - 16 for t.
0
Suppose -91*j + 64 + 389 = -366. Solve -5*n - 6 = 2*k, -j*n - 4*k - 12 = -5*n for n.
0
Let k = -17 + 28. Suppose -4*q + 21 + k = 0. Suppose -q*m + 41 + 247 = 0. Solve 2 = 5*n - 5*y - 3, 0 = -4*n - 4*y + m for n.
5
Suppose 2*h + 2*y - 12 = 0, -2*h - 5*y + 20 = -7*y. Solve 7*l - 14 = t + 3*l, 4*l = h for t.
-6
Let k be (-2)/6 + 1/3. Suppose k*j = -5*j + b + 220, b = -j + 44. Suppose -10*w + j = w. Solve -5*x = -a - 22, -5*x + w*a = -0*x - 13 for x.
5
Let a(c) = -10*c - 94. Let j be a(-9). Let p be (j/8)/(1/(-4))*1. Solve 3*f - 3*u - 7 - 2 = 0, 1 = -3*f - p*u for f.
1
Let f be (-1)/(-2)*(9 - 3). Let x = -4985 - -4997. Solve f*y - 5*r = 5*y + 9, 4*y + x = -4*r for y.
-2
Let i = -19214 + 19218. Solve -i*a + 12 = 2*c, c - 6*a - 10 = -9*a for c.
-2
Suppose 6 - 20 = -j. Suppose -2*r + 25*b = 26*b - 1078, -r + 4*b + 557 = 0. Let y = r - 533. Solve -3*o + 13 = 3*x - y*x, o = -2*x - j for o.
-4
Let a = -10 + 12. Let h be 6/(-4) - 6/(-4) - 0. Suppose 5*s - 4*o = 16, h*s + o - 9 = -a*s. Solve -5*d - 10 = 0, s*d = -5*n - d - 10 for n.
0
Suppose -w = -4*p - 10 - 56, 3*p - 3*w = -54. Let c be 6 - ((-64)/p - (1 - 1)). Solve -5*k - 5*y + 35 = 0, c*y = k + 5*y - 17 for k.
2
Let m be (-67)/(-3) + ((-544)/51)/8. Solve p + 9 = -4*f, -3*p - f = -5*f - m for p.
3
Let d = -818 - -820. Let z be (-4)/12*(2 - d). Solve z = -f + l - 2, -5*f - l - 10 = l for f.
-2
Let s be (-11)/(77/(-28)) + 26. Let z be 49/10 - (-3)/s. Solve -4*a - z - 1 = -o, 2 = 2*a - 3*o for a.
-2
Suppose -188*s = -36*s. Solve 4*n - l = 13, s = 3*n - n + l + 1 for n.
2
Let x be 5/((-15)/2) + (-1800)/54 + 38. Solve 5*d = 2*y - 27, 3*y - 55 = x*d - 32 for d.
-5
Let x be -344 + 1 + 120/(-40). Let i = -343 - x. Solve -9 - i = -4*f, -5*f = q - 13 for q.
-2
Let s(o) = -o**3 + o**2 - o - 2. Let k be s(-3). Suppose -4*n - 8 = -0*n, -3*a = -2*n - k. Let j = a + -9. Solve -4*u + j = x + 6, 0 = u - 4*x + 1 for u.
-1
Suppose 0 = 5*t - 6 - 4, 7 = c + t. Suppose 0 = -22*i + 115 - c. Solve -4*u + 3*j - 5 = -5*u, 0 = 4*u - i*j + 31 for u.
-4
Let y(l) = 36*l + 507. Let p be y(-14). Let m = -4 + 6. Let v = 0 - -4. Solve -3*a - 7 = -u, 0 = -v*a + p*u - 9 - m for a.
-2
Suppose -7*b + 97 = 6. Suppose -b*p - 70 = -304. Solve 3*a = 2*z - p, -8 - 13 = 3*a - 3*z for a.
-4
Let k = -1077 - -1091. Solve 5*q - k = -3*b, 2*b - 3*q + 22 = -3*b for b.
-2
Let a(x) = -3*x - 9*x + x**2 + 8 - 2*x**2. Let m be a(-12). Suppose 5*q - 2*h = 140, 5*q - 95 - 45 = -3*h. Solve -u + m = u, 4*p = 3*u - q for p.
-4
Let j be ((-13688)/(-4640) - 2/(-40))*682/6. Solve 2*h - 2 = j*r - 339*r, h = -4*r + 11 for r.
2
Suppose 3*c - 27 = 3*m, -6 = 2*m - 2. Solve -f = -5*d, c*d - 10*d = 3*f for f.
0
Let q(p) = -p - 1. Let n = 5 - 8. Let v be q(n). Let k = -238 - -241. Solve v*d = 5*i - 16, 3*d + 9 = -k*i - 2*d for i.
2
Let y(u) = 12 + 3 + 5 - u + 25. Let h be y(41). Solve 3*n + 17 = -s, -s + h*n = 5 - 16 for s.
-5
Let u(n) = 719*n - 6471. Let b be u(9). Solve 4*d - 3*c + 51 - 56 = 0, -5*d - 3*c + 13 = b for d.
2
Let p be ((-5)/(-4) + -2)*(14 - (61 - 43)). Solve -3*j = -3*r + p, -j = 21*r - 20*r - 7 for j.
3
Let x(d) = d**2 + 6*d + 8. Let u = 22 - 29. Let p be x(u). Let a be (7/7 + (-6)/8)*8. Solve 3*m = -2*m - r + p, 3*r - 19 = -a*m for m.
2
Suppose -34 = -2*c - 44*w + 48*w, 5*w + 35 = -5*c. Let r be 4/10*5 - 0/2. Solve 0 = -q - 5*v - 6, 0*v = r*q - 3*v - c for q.
-1
Let k = -275 - -279. Solve f = -4*w + k, -6*f - 2 = -2*w - 3*f for w.
1
Let f be (649/(-22) - -27)*(-12)/10. Solve -2*p - f - 20 = 5*c, -4*c = -p + 8 for p.
-4
Let u(m) = -114*m + 11859. Let c be u(104). Let d = -4 + 6. Solve r + 4*v = -9, c*r - d*v + 0 = 1 for r.
-1
Let z(m) = -3*m**3 + 419*m**2 + 142*m - 271. Let w be z(140). Solve 6 = 3*r + 2*i, 0 = -w*i + 5*i for r.
2
Let l = 118 - 118. Suppose -37*m + 38 + 110 = l. Solve -b = -2*c - 2*c - 3, -m*c + 12 = 4*b for c.
0
Let j = 1357 - 1351. Let v be 23 + 1 + 0 + 2. Suppose -4*z - v = 3*u - j*u, -17 = 4*u + 5*z. Solve -5*i - 3*m - 13 = 0, i + 9 = u*m - m for i.
-5
Let y = 818 - 814. Solve 0 = -3*g - u + 4, g - 2*u + 8 = y*g for g.
0
Let j(x) = 2*x + 37. Suppose -4*l - 4*p - 56 = 0, -26 - 56 = 5*l - p. Let q be j(l). Solve -2*v + 3*o - 14 = 0, q*v + 0*o = 3*o - 17 for v.
-1
Suppose q - 3*q = -10. Suppose -4*m = 3*y - 8, 3*m = q*y + m - 22. Let h = 3 + y. Solve -i - 2*w = -0*w, 2*i = 3*w - h for i.
-2
Suppose -4*q = -h + 6, -q = h + q. Let m be (8 - 4)/(-8)*-8. Suppose -6*z = -m*z + 2, x = 5*z + 7. Solve -x*t = -2*a - h*a, t = a for t.
0
Suppose 7*w - 10*w = 0. Suppose w = 4*a - 12*a. Solve 4 = p + d - a, -4*p = d - 7 for p.
1
Let r(u) be the third derivative of -u**5/60 + u**4/24 + 2*u**3 - 2*u**2. Let a = -1 + -2. Let q be r(a). Solve 5*z + q*z = -2*c + 12, -5*z = -2*c - 28 for z.
4
Let q be 9*(4 - -6)/(1 - -1). Let g be (120/q)/(32/36). Solve 0 = -3*y - 3, -g*f + y = 5*y + 13 for f.
-3
Let z = -19941 + 19942. Solve 0 = -2*x + u + z, -8*u = -3*x - 7*u + 3 for x.
2
Let d(m) = m**3 + 9*m**2 - 12*m - 15. Suppose -4*x + 5*x = -10. Let w be d(x). Suppose -5 = -w*a + 5. Solve 6 = -a*y + t, -2*t - 20 = 3*y + 2*t for y.
-4
Suppose -4*k + r = -39, -2*r - 3 = -3*k + 25. Suppose -5*m + 36 - 6 = 0. Let b be (3 - -1) + -1 - 1. Solve -p = -m*p - b*l + k, 5*p = l + 25 for p.
4
Let n be (-2)/(-5 + 7)*-6. Suppose n*t - 130 + 100 = 0. Solve -3*d = t*f + 10, 3*f + 3*d = 2*d - 2 for f.
1
Let l be 0/106*(-4 + (-3)/(-1)). Solve 7 = o + v + 1, l = -o + 3*v - 10 for o.
2
Let i(k) = 13 + 1 + 3*k + 8*k - 43*k**2 + 45*k**2. Let f be i(-4). Solve -5*x + 14 = q, -3*x + f = -q - 0 for q.
4
Let c(i) = 0*i + 8 + 37 + 4*i - 5. Let n be c(-9). Suppose 0 = -2*w + 5*v + 9, n*w - 3*v - 5 = 6. Solve -w*h - u - u = 0, -5*h + 6 = -u for h.
1
Suppose 0 = 18*s + 12*s + 14*s - 528. Solve m = 4*n + 12, n - 5*n = -4*m + s for n.
-3
Let s(o) = -o**3 + 13*o**2 - 31*o - 6. Let c be s(10). Let k be -1 + (3/4)/((-12)/c). Solve k = -4*a - 0*a + 3*p + 15, -4*a - 5*p = 25 for a.
0
Let u = -71 + 82. Suppose -2*v - 18 = -u*v. Let n be -1 - 1 - ((v - 3) + -3). Solve n*d = 0, 0 = -4*l - 2*d + 1 + 3 for l.
1
Let n(r) = 468*r**3 - 9*r + 10. Let d be n(1). Let x = d - 464. Solve -2*t + 6*t + 4 = -5*s, -t - 16 = x*s for t.
4
Let q(w) = 6*w + 74. Let i be q(-12). Suppose -i*n = -3*n + 5. Solve -z - 4*z - 28 = s, 2*s - n*z = 19 for s.
-3
Let q(j) = 71*j + 65. Let b be q(29). Suppose 2112 = -3*x + b. Solve 0 = -2*f, 5*f + 3 = -x*n + 7 for n.
1
Suppose 52 = 114*c - 101*c. Solve 4*t = -3*u - 3, u = -u - c*t - 6 for u.
3
Suppose -w = -3*r - 31 - 34, 0 = 3*w + 4*r - 130. Let n = 72 + -52. Suppose 5*d - w = 5*l, 3*d - l = 4*d - n. Solve -5*o - i = -0*o + d, 2*i = -10 for o.
-2
Let c = 4008 - 4006. Solve t = h + 6*t + 24, -c*h - 2*t - 16 = 0 for h.
-4
Supp | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from yyyrzyzz.
3/28
What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, l: 1, j: 1, r: 1, m: 1}?
1/10
Two letters picked without replacement from {s: 3, q: 2, o: 2, n: 6, e: 2}. Give prob of picking 1 e and 1 s.
2/35
Two letters picked without replacement from {x: 3, b: 1, s: 2, u: 1}. Give prob of picking 1 b and 1 s.
2/21
Three letters picked without replacement from ladldlzlddlzldddddl. What is prob of picking 3 l?
35/969
Calculate prob of picking 2 p when two letters picked without replacement from ffpp.
1/6
Four letters picked without replacement from {o: 1, a: 3, e: 1, f: 7}. What is prob of picking 3 a and 1 e?
1/495
Four letters picked without replacement from xexfeefxxennuxx. What is prob of picking 2 x and 2 n?
1/91
Four letters picked without replacement from {r: 1, j: 6, a: 11}. Give prob of picking 4 a.
11/102
Four letters picked without replacement from hhhhhhhaahhhhhaaha. Give prob of picking 1 h and 3 a.
13/306
Four letters picked without replacement from xuaxnanaauaaaaax. What is prob of picking 1 a and 3 x?
9/1820
Two letters picked without replacement from {h: 2, i: 1, b: 1, u: 4, p: 2}. What is prob of picking 1 b and 1 p?
2/45
What is prob of picking 1 l and 3 u when four letters picked without replacement from uuiuuuuuuuuull?
30/91
What is prob of picking 2 g when two letters picked without replacement from {w: 3, g: 3}?
1/5
Three letters picked without replacement from {j: 2, l: 3, c: 1, i: 3, r: 1}. Give prob of picking 1 i and 2 j.
1/40
What is prob of picking 1 d, 1 s, 1 x, and 1 k when four letters picked without replacement from hssdxddxdk?
8/105
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from wwwnwpwwnwewdqnnwwen.
1/38
What is prob of picking 2 t when two letters picked without replacement from {k: 2, t: 17}?
136/171
Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 1, k: 4, f: 8, z: 3, r: 3}.
1/57
Four letters picked without replacement from {v: 3, d: 3}. Give prob of picking 2 d and 2 v.
3/5
Two letters picked without replacement from kktwkkkkwtwk. What is prob of picking 2 w?
1/22
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjjgjjhgjjgjhjgg.
1/5
Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yffffffffyf.
24/55
Two letters picked without replacement from lddhlprllld. Give prob of picking 2 l.
2/11
Two letters picked without replacement from rzsvyxry. Give prob of picking 2 r.
1/28
Two letters picked without replacement from {e: 1, f: 2}. Give prob of picking 2 f.
1/3
Four letters picked without replacement from {o: 1, y: 2, c: 5, l: 1}. What is prob of picking 3 c and 1 o?
5/63
Calculate prob of picking 1 y and 2 v when three letters picked without replacement from yvvyymyyyymyyy.
5/182
Two letters picked without replacement from iffffiiifff. Give prob of picking 2 f.
21/55
Two letters picked without replacement from yyyyuqqqqququuq. What is prob of picking 2 u?
2/35
Three letters picked without replacement from {e: 3, b: 5}. Give prob of picking 2 b and 1 e.
15/28
Two letters picked without replacement from tklkltkt. Give prob of picking 1 l and 1 t.
3/14
Two letters picked without replacement from xrxrrrxsrjsrcr. What is prob of picking 2 r?
3/13
Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbabbabbab.
30/91
Four letters picked without replacement from msessmsymsnyme. Give prob of picking 1 n, 2 m, and 1 y.
12/1001
Two letters picked without replacement from ppzpppprrppmwgmpzm. What is prob of picking 2 p?
4/17
Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {i: 3, b: 2}.
3/5
Four letters picked without replacement from {w: 7, c: 8, f: 5}. Give prob of picking 3 c and 1 f.
56/969
What is prob of picking 2 o and 1 z when three letters picked without replacement from zzzzzzozzzozzo?
33/364
Two letters picked without replacement from vdwwmwwm. Give prob of picking 2 m.
1/28
What is prob of picking 2 u and 1 h when three letters picked without replacement from uuuuhuuhuhuu?
27/55
Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {d: 7, f: 2, e: 1, u: 2, j: 1, z: 1}.
3/26
What is prob of picking 1 y and 1 o when two letters picked without replacement from yoyoooyyoorooooroorr?
24/95
Calculate prob of picking 2 n and 1 q when three letters picked without replacement from nqqnnnnqnnn.
28/55
Calculate prob of picking 3 l and 1 c when four letters picked without replacement from {c: 6, l: 7}.
42/143
Four letters picked without replacement from {z: 1, x: 1, l: 1, n: 1, c: 1}. Give prob of picking 1 c, 1 x, 1 n, and 1 z.
1/5
Calculate prob of picking 4 m when four letters picked without replacement from mmmammammmmmam.
30/91
Three letters picked without replacement from {x: 2, v: 1, z: 2}. What is prob of picking 1 x and 2 z?
1/5
Two letters picked without replacement from ooooooooo. What is prob of picking 2 o?
1
What is prob of picking 1 t and 1 l when two letters picked without replacement from dnnxtly?
1/21
What is prob of picking 3 s when three letters picked without replacement from sssssssbsssssss?
4/5
Two letters picked without replacement from {r: 3, k: 4}. Give prob of picking 2 k.
2/7
Calculate prob of picking 2 b and 1 r when three letters picked without replacement from jjhjmrjjrjorbobjhmj.
1/323
What is prob of picking 1 b and 1 t when two letters picked without replacement from htvub?
1/10
Calculate prob of picking 2 l when two letters picked without replacement from {n: 1, x: 1, t: 1, l: 1, b: 1}.
0
Three letters picked without replacement from sxxyvxvvyvxyxxvyyyy. What is prob of picking 2 x and 1 s?
5/323
Two letters picked without replacement from hhhocoooghaogfo. Give prob of picking 1 g and 1 c.
2/105
What is prob of picking 1 l, 2 q, and 1 i when four letters picked without replacement from {b: 1, c: 1, i: 1, q: 3, p: 4, l: 4}?
12/1001
What is prob of picking 2 z when two letters picked without replacement from {i: 16, z: 2}?
1/153
Two letters picked without replacement from daadaaaaasasa. Give prob of picking 2 s.
1/78
Two letters picked without replacement from {s: 6, v: 4, f: 3, i: 2, y: 3}. Give prob of picking 1 y and 1 v.
4/51
What is prob of picking 2 l and 1 c when three letters picked without replacement from {c: 2, l: 3, z: 1, b: 4, e: 1, u: 1}?
3/110
Two letters picked without replacement from {t: 5, b: 1, p: 4}. Give prob of picking 2 p.
2/15
What is prob of picking 3 w and 1 o when four letters picked without replacement from {x: 2, w: 3, c: 2, o: 2}?
1/63
Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qqiiq.
3/5
Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {h: 1, k: 4, c: 6, p: 2}.
0
Three letters picked without replacement from ymmmymmmmmmymmmymmm. Give prob of picking 3 m.
455/969
Four letters picked without replacement from {i: 2, x: 10, o: 2, b: 5, l: 1}. What is prob of picking 1 l, 1 i, and 2 o?
2/4845
What is prob of picking 1 s, 1 i, and 2 h when four letters picked without replacement from {j: 1, i: 4, h: 2, s: 2}?
4/63
What is prob of picking 3 r and 1 d when four letters picked without replacement from {d: 1, t: 1, f: 9, r: 1, e: 8}?
0
Two letters picked without replacement from ookookkokoooko. Give prob of picking 2 k.
10/91
Two letters picked without replacement from {j: 2, h: 5, f: 6, i: 1, l: 3, t: 2}. What is prob of picking 2 t?
1/171
Three letters picked without replacement from ebehbeeheeaheyeeyee. Give prob of picking 1 h and 2 b.
1/323
Two letters picked without replacement from buubuugmmdbg. What is prob of picking 1 m and 1 d?
1/33
Two letters picked without replacement from {a: 3, n: 5, x: 7, j: 2, r: 3}. Give prob of picking 1 x and 1 j.
7/95
Calculate prob of picking 3 z when three letters picked without replacement from {u: 2, z: 1, t: 14}.
0
Three letters picked without replacement from aekikeklepla. What is prob of picking 1 l and 2 k?
3/110
Two letters picked without replacement from zwztrre. What is prob of picking 1 z a | {
"pile_set_name": "DM Mathematics"
} |
0*w + 2*w - 4*w)*(-3 + 6 - 1) + (1 - 5 + 2)*(-4*w + 0*w + 0*w).
-9*w
Expand s**5 - 19*s**4 + 5*s**4 + 9*s**4 + 2*s**5 - 4*s**5 + s**5 + (-4*s**3 + 4*s**3 - 2*s**3)*(-4 + 4 - s**2).
2*s**5 - 5*s**4
Expand (-2 - 2*b + 2)*(-1 - 4*b**2 + 16*b**2 + 0*b**2).
-24*b**3 + 2*b
Expand (-5 - 3*d + 3 + 0)*(-23*d + 27*d + 38*d) + 4*d**2 + 0*d**2 - 2*d**2.
-124*d**2 - 84*d
Expand (-73 - 170 - 32)*(2*v - 5*v + v).
550*v
Expand (2 - 7 + 3)*(2*j + 0*j - 6*j) - 3*j + 4*j - 4 + 2.
9*j - 2
Expand (0*v + v - 2*v - 1)*(2 + 3 - 4) + (v + v + 0*v)*(-5 + 4 - 1) - 3*v + 5 - 5 - 2 + 2 - 2*v.
-10*v - 1
Expand 4728 - 129*a**5 - 4728 + (4*a**4 - 3*a**4 + 0*a**4)*(-a - 2 + 2).
-130*a**5
Expand 0*g**2 + 3*g**2 - 3*g - 4*g**2 + (2*g - 2*g - 2*g)*(-2*g - g + g) - 3*g**2 - 2*g**2 + 2*g**2 + (3 - 3 - g)*(-4*g + 3*g + 2*g) + 37 - 4*g**2 - 37.
-5*g**2 - 3*g
Expand (367 - 163 - 153)*(-3 - 3 + 2)*(-7 + 3 + 1 + k).
-204*k + 612
Expand (-1 + a + 1)*(-a**2 - 2*a**2 + 2*a**2) - 2*a**3 - 2*a**3 + 3*a**3 - 5601*a - 4*a**2 + 22*a**3 + 5601*a.
20*a**3 - 4*a**2
Expand (2*i - i - 4*i)*(2 - 1 - 2) + (-3 + 1 + 3)*(2*i + 26*i + 23*i).
54*i
Expand (2 - 2 + 2*z)*(1 + 0 - 3) - 3*z - 3*z + 4*z - z - z + z + (z - 4*z + 5*z)*(3 - 2 - 3) + 48*z - 79*z + 55*z + 19*z - 7*z - 18*z.
7*z
Expand (0 + 3 - 1)*(-6*c - 3*c + 2*c) + 5*c - 4 + 4 + (1 - 4 + 4)*(0 + 0 + 2*c).
-7*c
Expand (4285 - 4285 - 41*c)*(c**3 - 2*c**4 - c**3) + c**5 + 3*c**5 - 5*c**5 + (4*c - 4*c + 2*c**3)*(4*c**2 - 3*c**2 - 2*c**2).
79*c**5
Expand 3 - 2*b - 3 + (75*b - 125 + 125)*(3 + 3 + 1) + 2*b + 3 - 3.
525*b
Expand (-1 + 3 + 3)*(-l + 2 - 2)*(-5*l - 7*l**3 + 3*l**3 + 2*l**3)*(-2*l + 6*l - l).
30*l**5 + 75*l**3
Expand (0 - 1 + 2)*(6*y - y - y)*(0*y**2 + 2*y**2 - y**2).
4*y**3
Expand (2*h - 4*h + 3*h)*(2*h - 2*h - h) - 394*h + 241*h**2 + 394*h - h**2 + 0*h**2 + 3*h**2.
242*h**2
Expand (-6 - 5 + 3)*(4 - r - 4)*(-6*r + 3*r - 3*r).
-48*r**2
Expand (4 + 1 - 3)*(-3 + 3 - 5*p**4) - 3*p + 3*p - p**4 + 4*p**4 + 0*p**4 - 13*p**4.
-20*p**4
Expand (-4 + 4 - 2*b**2 + 2*b**2 - 5*b**2 + 4*b**2 + (4*b + 0*b - 2*b)*(-3*b + 3*b - 2*b) - 8 + 8 + 18*b**2)*(11 - 29*b + 10*b + 16*b).
-39*b**3 + 143*b**2
Expand (-5*q**3 - 545*q**2 - 2*q + 545*q**2)*(-3*q - 5*q + q).
35*q**4 + 14*q**2
Expand (g + g + 0*g)*(g**3 + 5*g**4 - g**3) + 49*g + 7*g**5 - 49*g.
17*g**5
Expand (3 - 1 + 1)*(1 + 3 - 3)*(21*s + 3*s + 2*s).
78*s
Expand (121*v**2 - 4*v + 229*v**2 + 4*v)*(0*v - 2*v + v).
-350*v**3
Expand (3 + 0 - 1)*(2 + 3*k + 0*k - 2*k) + 29*k + 19*k - 6*k - 2*k + k + 3*k.
46*k + 4
Expand (0*x**3 - 4*x**3 + x**3)*(-5 - 2 + 5)*(3*x - 3*x - 3*x).
-18*x**4
Expand (-134 + 44 + 53 + 37 + 3020*t)*(1 + 4 - 3).
6040*t
Expand (0*f**3 - 2*f**3 + 0*f**3)*(f + 1 - 1) - 8 + 8 - 6*f**4 + 240*f**2 - 240*f**2 + 12*f**4.
4*f**4
Expand -4*g**2 + 0*g**2 + g**2 - 3*g**2 + 2*g**2 + 0*g**2 + (2*g + 2*g**2 - 2*g)*(3 + 0 - 1) - g + g**2 + g - 16*g + 8*g**2 + 16*g.
9*g**2
Expand (-1 - 1 + 9 + (4 - 2 + 0)*(-2 + 2 - 2) + 6 + 0 - 7)*(-3*g**2 - 2*g**2 + 4*g**2).
-2*g**2
Expand (2*d - 4*d + 3*d)*(-2 + 3 - 3) + (-2*d + 2*d + 2*d)*(-1 + 3 + 0) + 4 - 7*d + 9*d - 11.
4*d - 7
Expand (-1 - 2*p + 1)*(-3 - 2 + 34) + 8 + 9 - 15 - 10*p + (-2*p - 2*p + 2*p)*(-2 + 4 + 0) - 2*p + 5*p - p.
-70*p + 2
Expand (7*b**2 + 12*b**2 - 9*b**2)*(-b - 3*b + 5*b)*(4 - 2 - 6).
-40*b**3
Expand 2*t**4 - 7*t**4 + 3*t**4 + (1 - 8 + 11)*(t**4 - 4*t**4 + 4*t**4).
2*t**4
Expand (29*r - 1 - 68*r - 29*r)*(21 + r - 21).
-68*r**2 - r
Expand (0 + 5 - 3)*(-2 + 2 + u) + 1787 + 40*u - 1787.
42*u
Expand (-3*y**2 + 4*y - 9*y**2 - 2*y)*(4*y + y + 0*y).
-60*y**3 + 10*y**2
Expand (-5 + 3*v + 5)*(0*v - 2*v + 4*v + (2*v - 2 + 2)*(-1 + 3 - 3) + 30 - 30 - 3*v).
-9*v**2
Expand 47*o**5 + 319*o**5 - 69*o**5 + (-1 + 4 - 2)*(2*o**2 + 2*o**5 - 2*o**2) + o**5 + 5*o**5 - 5*o**5.
300*o**5
Expand 79471*l - 500*l**3 - 79471*l + (1 + 0 + 0)*(-2*l**3 + 4*l**3 - 4*l**3).
-502*l**3
Expand 61234 - 95*r**3 - 61234 + (-4*r**2 + 2*r**2 + 0*r**2)*(-r + 2*r + r).
-99*r**3
Expand -u**5 + 0*u**5 - u**5 + (0*u**5 - 3*u**5 + 2*u**5)*(-5 + 4 + 3) - 2*u**5 + 0*u**5 + 3*u**5 - 2288*u**2 - 742*u**5 + 2288*u**2.
-745*u**5
Expand (-3 + 3 - 3*y)*(-1 + 1 + 2)*(-2*y + 2*y + 24*y**2).
-144*y**3
Expand (-6 - 6*y**3 + 6)*(-1 + 47*y**2 - 2*y + 41*y**2 - 91*y**2).
18*y**5 + 12*y**4 + 6*y**3
Expand 3*k**5 + 3*k**5 + 2*k**5 + (-3*k**4 + 3*k**4 + k**5)*(-1 + 2 + 1) + (k**2 - k**2 + 2*k**5)*(1 + 3 + 1).
20*k**5
Expand (-414 - 410 + 843)*(2*o - 2*o - o).
-19*o
Expand (s + 1 - 1 + (0 - 2 + 0)*(-3 + s + 3))*(-s**4 + 4*s**4 - 2*s**4).
-s**5
Expand (-5*f - 66 + 66)*(0 + 2 - 1)*(0 - 2 + 1)*(-1 - 3 + 3).
-5*f
Expand (4*m - 5*m + 2*m)*(-4 - 5 - 6 - 2 - 2 + 5 + 2 - 5 + 1 + (-6 + 1 + 3)*(-3 + 6 - 4) - 2 + 0 + 1 + 0 - 3 + 0).
-18*m
Expand ((-4 + 1 + 2)*(6*z - 4*z + z) + 3 - 3 + 2*z)*(-3*z + z - 3*z).
5*z**2
Expand (-2*f + f + 3*f)*(-f + 1 - 1) + 46*f**2 + 184*f**2 + 543*f**2.
771*f**2
Expand (6 + 15 + 1)*(0 + 4*s + 0)*(-1 + 3 - 3).
-88*s
Expand -130*a**2 - 22*a**5 + 130*a**2 + (-3*a**3 + 3*a**3 + 7*a**5)*(3 - 1 - 5).
-43*a**5
Expand (12*m + 14*m + 2*m + 2*m**3)*(1 - 1 - 1)*(-2 + 3 + 2) + 0*m**3 + 3*m**3 - m**3.
-4*m**3 - 84*m
Expand (21 + 4*g**2 - 21)*(5*g**2 - 30 + 30 + (-g + 0*g + 4*g)*(g + g + 0*g)).
44*g**4
Expand 5*k**4 - 3*k**5 - 5*k**4 + (1 + 3 - 2)*(-8 - 8*k**5 + 8).
-19*k**5
Expand (-2 - 2 + 2)*(b + 2*b - 2*b)*((-6*b + 2*b + 2*b)*(-4*b**3 + 0*b**3 + 5*b**3) + 7*b**4 - 2*b**4 + 3*b**4) - 3*b**5 + 4*b**5 + 0*b**5.
-11*b**5
Expand ((16*a + a - 26*a)*(-3 - 1 + 5) + (-1 - 3 + 2)*(-a - 6*a + 5*a))*(1 - 1 + 2*a**3).
-10*a**4
Expand -8*h**2 + 54 - 9*h**2 + 16*h**2 + (-2*h - 2*h + 2*h)*(-3 + 3 - 2*h).
3*h**2 + 54
Expand (-20 + 6 - 8)*(0*a**2 + 0*a**2 + a**2) + a**2 + 4*a**2 - 3*a**2 + (5*a + a - 2*a)*(a + 0*a + a).
-12*a**2
Expand 113*n**2 + 94*n**2 - 162*n**2 + (1 + 1 - 3)*(-1 - n**2 + 1) + 3*n**2 - 5*n**2 + 3*n**2.
47*n**2
Expand (-y - 4*y + 3*y + (-2 + 0 - 1)*(-3 + 3 + 5*y))*(2 - 3 + 2)*(0 - 2 + 0).
34*y
Expand (-24 + 24 - 4*r)*(0 + 6 - 4)*(-1 + 2 - 3)*(-r + 3*r + 6*r).
128*r**2
Expand (2*q**2 + 4*q**2 + 3*q**2)*(-2 + 0 + 0)*(0 + 0 - 4*q + 2)*(-4*q - 4*q + 6*q).
-144*q**4 + 72*q**3
Expand (-50 + 120*x + 355*x + 2913*x + 50)*(-x + 2*x + x).
6776*x**2
Expand 4*y**5 + 4*y**3 - 4*y**3 + (-3 - 2 + 2 - y)*(-2*y**4 - 6*y**4 - y**4) - 2*y**5 - y**5 + 4*y**5.
14*y**5 + 27*y**4
Expand -3*s - 2*s + 2*s + (3 + 1 - 3)*(-2*s + 2*s + 2*s) + 7 - 3*s + 4 - 4.
-4*s + 7
Expand ((-2*c + 0 + 0)*(-2 - 3 + 3) - 3*c + c + 3*c)*(218 + 183 - 102).
1495*c
Expand (0*g**2 + 0*g**2 + 2*g**3 + (-4*g**2 - 4*g**2 + 7*g**2)*(3*g - 3*g - 2*g))*(-2 + 6*g + 2 + (-2 + 2*g + 2)*(1 - 1 - 1) - 4*g + g + 2*g).
12*g**4
Expand ((0*f - 2*f + f)*(2*f - 2*f + 2*f) - f**2 - f**2 + f**2 - 4 + f**2 + 4 - 1 + 1 - f**2)*(f - 27*f + f).
75*f**3
Expand -3*y**3 + 2*y**3 - y**3 + (3*y - 257 + 257)*(-3*y**2 + 6*y**2 - y**2) - y - y**3 + y + (5*y - y - 3*y)*(y**2 - 4*y**2 + 2*y**2).
2*y**3
Expand (191 - 191 - 57*h**5)*(1 - 2 + 2).
-57*h**5
Expand (4*t**2 + 2*t**2 - 4*t**2)*(-2 + 2 - 2*t) - 5*t**3 + t**3 + 14*t**3.
6*t**3
Expand (8*c + 2*c - c + (-3 + 0 + 4)*(-7*c + 5*c + 5*c))*(1 + 4 - 6).
-12*c
Expand (141*a**2 - 18*a - 139*a**2 + 105*a + 1)*(2 - 2 + 1).
2*a**2 + 87*a + 1
Expand (0*o - 4*o + 3*o)*(-217*o**3 - 4 + 2 + 13*o + 189*o**3 - o**2).
28*o**4 + o**3 - 13*o**2 + 2*o
Expand 7*y - 2*y - 3*y + (3 + 0 + 0)*(3 - 3 - y - 2).
-y - 6
Expand (-f - 3*f + 2*f)*(3 - 6 + 2) + 0 + 0 - f + 42*f + 6 + 4 - 7.
43*f + 3
Expand 3*w**4 - 3*w**4 + 6*w**4 + (-4*w**3 + 2*w**3 + 3*w**3)*(-4*w + 3*w - w) + (446 + 29*w - 446)*(w**3 - 4*w**3 + 5*w**3).
62*w**4
Expand (-5 + 3 - 2 + 12)*(h - 5*h + 3*h).
-8*h
Expand -3*i**3 + i**3 - 2*i**3 + (i + i**3 - i)*(-3 - 2 + 4) + 5 - 19 - 3*i**3 + 3.
-8*i**3 - 11
Expand (-26 + 6 - 12)*(0*x - 2*x + x) - 3*x + 4*x + 3*x.
36*x
Expand (-3*w**3 + w**3 - w**3)*(28 + 9*w**2 - 28)*(5 + 1 - 4).
-54*w**5
Expand (-2*r + r + 8*r)*(-228*r + 100*r + 57*r).
-497*r**2
Expand -41*o**2 - 13*o**3 + 41*o**2 - 3*o**3 + 5*o**3 - 3*o**3 + (4*o**2 - 2*o**2 + 0*o**2)*(-o - 2*o + 2*o) - 5*o**3 + 0*o**3 + o**3.
-20*o**3
Expand (0 - m + 0)*(5 - 1 - 1) - 2*m + 5 - 2 + 0.
-5*m + 3
Expand (-1 + 1 - 2*w**2)*(w**3 - w**3 + 5*w**3) + 12*w**5 + 52*w - 52*w.
2*w**5
Expand -4*q - 5*q**5 + 4*q**5 + 3*q + (-2*q**3 - 2*q**3 + 3*q**3)*(61*q**2 - 143*q + 143*q).
-62*q**5 - q
Expand (-4 + | {
"pile_set_name": "DM Mathematics"
} |
83997 to the form d + z*v and give z.
-17944
Rearrange 13602957 + 997*k**2 - 13602957 to c + h*k + y*k**2 and give c.
0
Express 35 + 65*l - 13*l - 41*l in the form r*l + k and give k.
35
Express 6*p**4 + 3*p**2 - 2 - 11*p**3 - 27*p**4 - 30*p**4 + 66*p**4 as r + d*p**4 + z*p**2 + f*p + s*p**3 and give s.
-11
Rearrange ((6*u - 2*u - u)*(-10 + 1 + 20) - 6*u + 4*u + 6*u)*(-4*u**3 + 3*u**3 - u**3) to the form t*u**4 + v*u + o*u**3 + i*u**2 + b and give t.
-74
Rearrange 173 + 22*i - 14*i + 18*i + 43*i to the form w + n*i and give w.
173
Rearrange -4 - 55 - 2*w - 52 + 18*w**2 - 5 + 27 to the form n*w + u + p*w**2 and give n.
-2
Express 5*g - 756964*g**4 - 22*g + 756991*g**4 - g**3 - 4*g**3 as x*g + y*g**3 + p*g**2 + l + z*g**4 and give p.
0
Rearrange (9*m - 487 + 286 + 320)*(-5 + 5 - 2) to n*m + b and give n.
-18
Express 236*p**4 + 8*p**3 - p**2 - 3*p - 2 - 237*p**4 + 0*p**3 + 1 as l + t*p**2 + j*p**3 + h*p**4 + o*p and give o.
-3
Express 2 - 21*q**3 - 44*q - 127*q + 169*q as k + v*q**3 + c*q**2 + b*q and give b.
-2
Rearrange 22*m - 861*m**3 + 1538*m**3 - 17 - 678*m**3 - 3*m**2 to the form n*m**2 + y*m**3 + x + o*m and give n.
-3
Express -42 + 31*h + 2871 + 31*h - 61*h in the form p + g*h and give g.
1
Rearrange (c - 2*c + 8*c + (-5 + 1 + 3)*(-8*c - 67 + 67))*(3*c**3 - 6*c**3 + 4*c**3) to n*c**4 + s*c**2 + q*c + g + r*c**3 and give n.
15
Rearrange ((y + 0 + 0)*(0*y - 2*y - y) + 0*y**2 - 4*y**2 + 3*y**2)*(664852 - 664852 + 665*y) + y**3 - 2*y**3 + 3*y**3 to m*y**2 + w*y**3 + x*y + r and give m.
0
Rearrange 15669 - 267*k - 31349 + 15678 to the form j*k + b and give j.
-267
Express 2*m**2 + 0*m**2 - 3*m**2 + (-5*m - 9*m - 5*m)*(-19 - 17*m + 19) in the form k*m + i + x*m**2 and give x.
322
Express -u**2 + 3*u - 2*u**4 - 36384 + 18191 + 18207 - u**3 as v*u**3 + f*u**4 + g*u**2 + p*u + j and give g.
-1
Express 27*u**3 - 11 - 4*u**2 - 22*u**3 - 3*u**2 + 17*u**2 - 12*u**2 in the form x + w*u + z*u**3 + k*u**2 and give x.
-11
Rearrange -9042*z**4 + 9039*z**4 - 268*z**3 + 292*z**3 + 1 - 6*z**2 + z to the form y*z**3 + n + m*z**2 + w*z + r*z**4 and give w.
1
Rearrange ((1 + 0 + 1)*(0 - 2*l + 0) - 4*l + 4*l - l + l + l + l - 3*l - 1 + 1)*(32 + 20 - 15) to the form x + m*l and give m.
-185
Rearrange 0*s**2 + 121868 - 122715 + 2*s**2 + s**2 to g + n*s + k*s**2 and give g.
-847
Express -f**3 - 2*f**2 + 8997*f**4 - 8991*f**4 + 0*f**2 - 6*f**3 in the form n*f**2 + p*f**3 + c + r*f**4 + x*f and give n.
-2
Express 2*h - 2*h + h + (0 - 3 + 2)*(-1 - 3*h + 1) + (-4 + 2 - 1 + (3 - 20 - 8)*(5 - 4 + 0))*(-2*h - 3*h + 4*h) - 2*h + 4*h - h in the form v + j*h and give j.
33
Express -3*m**4 + 364*m**3 - 1 - 5*m**2 - 15*m - 362*m**3 + 0 + 2*m**2 as a*m**2 + w + z*m**4 + g*m**3 + n*m and give w.
-1
Express 76*v**2 + v**4 - v**3 + 748400*v - 748402*v + 24*v**2 + 88*v**2 - 7 as i*v**3 + m*v**4 + f*v + a*v**2 + s and give i.
-1
Express (3*g**3 - g**3 + 0*g**3)*(-5620162 + 5620162 + 10020*g) as a + l*g**2 + n*g + j*g**4 + r*g**3 and give j.
20040
Rearrange -1290 - 18*z**2 + 1087 + 591 to c*z + y*z**2 + k and give k.
388
Express -92*o**3 + 120*o**4 + o - 70*o**3 - 14*o**3 - 117*o**4 - 2*o**2 in the form j*o + d*o**4 + w*o**2 + g + b*o**3 and give b.
-176
Rearrange 6165 + 2039*p - 6165 + 2*p**2 to the form m*p**2 + d*p + i and give m.
2
Express 258 + 258 + 267 + 18772*l + 253 - 1034 in the form t*l + c and give c.
2
Express -362*f - 110*f + 205*f in the form a + x*f and give x.
-267
Express 19 + 15 + 1167*o**2 - 36 + 1078*o**2 + 1215*o**2 in the form k*o**2 + q + h*o and give k.
3460
Rearrange 188360*n**2 - 188360*n**2 - 486*n**4 + 3*n**3 - 2 - 2*n to the form a*n**2 + o + m*n + r*n**4 + w*n**3 and give r.
-486
Rearrange -1526*f**2 + f - 2448*f**2 + 7069*f**2 - 1561*f**2 - 6 to g + k*f**2 + s*f and give k.
1534
Express (0*p - 2*p**3 + 0*p)*(-63 + 8613 - 4280) + p**3 - 3 + 3 as v*p + r*p**2 + n + a*p**3 and give a.
-8539
Rearrange -l**2 - 2 + 2 + (-113 + 113 - 126*l**2)*(-2 - 1 + 2)*(-10 + 0 - 4) to the form q + m*l + g*l**2 and give g.
-1765
Rearrange (-m - 6*m + 5*m)*(-353 + 369 + 4*m - 5*m) to t + c*m**2 + z*m and give z.
-32
Rearrange (2*h - 5*h + 6*h)*(-27 - 34 - 16) + (0*h - 2*h + 3*h)*(0 + 3 - 4) to the form c*h + l and give c.
-232
Express ((-1 + 7 + 0)*(293 - 69 + 76) + 11 + 4 - 4)*(z + z**2 - z) as q + f*z + d*z**2 and give d.
1811
Rearrange (2*n - 32 + 32)*(3*n + 3*n - 3*n) - 2*n + 2*n - n**2 - 4*n**2 - 9*n**2 - 3*n**2 - 4*n**2 - 4*n + 4*n to r*n**2 + b*n + q and give q.
0
Rearrange 85 - 85 - 93*o**2 + 1985*o**2 to p*o + f + w*o**2 and give f.
0
Express 6*k**2 + 2 + 0*k + 2*k + 5 + 14000*k**3 - 14005*k**3 in the form l + t*k**3 + x*k + r*k**2 and give r.
6
Express -16*f - 89 + 10*f + 214 + 195 - 57 as g + z*f and give z.
-6
Rearrange (3849 - 8480 + 4077)*(-2*s**2 - 1 + 1) - 2*s + 2*s - 2*s - 3*s**2 to y + f*s**2 + u*s and give u.
-2
Express 0*d**2 - 2*d**2 - 172 - 3*d**2 - 194 + 6*d**2 as x + g*d + i*d**2 and give i.
1
Express -63 - 4*g**2 - 69 + 2*g + 91 as l*g**2 + t + x*g and give l.
-4
Rearrange -664*i + 664*i - 10 + 20*i**3 + 79 - 19*i**2 + 16*i**2 to r*i + o*i**3 + y + b*i**2 and give y.
69
Rearrange (3*c + 20382 - 20384 + 2*c + (-10 + 8 - 6)*(3*c - c + 7*c))*(5*c**2 - c**2 - 5*c**2) to l*c**2 + j + s*c + k*c**3 and give l.
2
Rearrange (618*s - 5871 + 3989 - 617*s)*(2*s - s + 0*s) to z*s**2 + m + x*s and give x.
-1882
Rearrange 20 - 387*q - 20 - 277*q to the form y*q + r and give y.
-664
Rearrange ((-6 + 0 + 3)*(1339*n - 9*n - 120*n) - n - n + 0*n)*(2*n + 0*n + n) to z*n + i*n**2 + m and give i.
-10896
Express (-3661*q**4 - 2743*q**4 - 6643*q**4)*(0 + 1 - 3) in the form w*q**4 + y*q + s*q**3 + h*q**2 + f and give f.
0
Express (-15 + 19*r + 15)*(242 + 243 - 743*r**2 + 236 - 721) as b*r**2 + q*r**3 + z + h*r and give b.
0
Rearrange 17 - 12*w + 106435*w**4 - w - 106437*w**4 + w**2 to the form d*w**4 + t*w**2 + g*w**3 + r + u*w and give r.
17
Express -2 - 3286*v + 6560*v - 3276*v + 776*v**2 in the form b*v + c + r*v**2 and give c.
-2
Rearrange -2236*g - 3155*g - 2822*g + 1520*g - 6121*g to the form h*g + p and give h.
-12814
Express -51*w + 61*w - 1 + 116*w**2 - 14*w + 2 in the form t*w + q + j*w**2 and give j.
116
Express (-s + s + s)*(-s - 2 + 2) + 8*s**2 - 114*s**2 - 37*s**2 - 85*s**2 + 2*s as v + b*s**2 + q*s and give b.
-229
Express -1846*b**2 - 95*b**3 + 1870*b**2 - 39*b**3 as y*b**2 + t*b**3 + z*b + g and give t.
-134
Rearrange -z - 75*z**3 + 123*z**3 + 115*z**3 + 305*z**3 to i*z**3 + o*z + l + s*z**2 and give i.
468
Express 3935*j**2 + 2878*j - 2877*j - 4 + 3 + 1 as f + m*j**2 + d*j and give m.
3935
Express 128*d**3 + d**2 - d**2 + 1622*d + 137*d**3 - 266*d**3 in the form b*d**2 + q*d**3 + m*d + w and give m.
1622
Rearrange (34 - 263*k + 37 - 71)*(4 - 1 - 2)*(-34 - 14*k - 17*k + 33) to the form t*k**2 + f + j*k and give f.
0
Rearrange -4*x - 94*x**2 - 252*x**2 - 120*x**2 - 158*x**2 - 228*x**2 to the form v*x + s*x**2 + g and give v.
-4
Rearrange 3 + 6537*r - 120*r**2 - 13065*r - 3 + 6533*r to p + w*r + q*r**2 and give p.
0
Rearrange (-w**3 - w**2 + 2*w**2 + 0*w**2)*(-3*w - w + 2*w) - 94*w**4 + 17*w - 72*w**4 + 214*w**4 to y*w**4 + h + n*w**2 + g*w**3 + s*w and give h.
0
Rearrange 4 - 2*i**2 - 2*i**4 + 3*i**2 + 2*i - 2 + 0*i - 3 to g + u*i**3 + b*i**2 + q*i**4 + h*i and give q.
-2
Express -24973*f + 0*f**2 + 24970*f - 2*f**2 + 5*f**3 - 139*f**3 as l + j*f + n*f**2 + t*f**3 and give t.
-134
Rearrange -816*m - 12200*m - 3 + 2193*m + 3 to the form q*m + t and give q.
-10823
Rearrange -491 - 493 + 1008 - 4*s - 88*s to q + z*s and give q.
24
Rearrange 162*x + 4211*x**2 - 52*x - 58*x - 52*x to the form f*x + g + z*x**2 and give g.
0
Rearrange -9*i**3 - 11*i**3 + 3*i**3 + (-6 + 6 - i**2)*(i - 3*i + 3*i) + 79*i - 79*i + 3*i**3 to the form f + r*i**2 + c*i + q*i**3 and give q.
-15
Express -81*b + 7*b - 2*b**2 + 13 + 90*b - 2*b**3 as l*b + d*b**3 + s*b**2 + o and give d.
-2
Express (-3*c**2 + 17*c**2 + 6*c**2)*(34 - 2*c - 34 + (2*c + 0*c - 3*c)*(1 + 2 + 1) - 4*c - 8*c - c) as p + q*c**2 + b*c**3 + u*c and give b.
-380
Rearrange (-35*i**2 - 40*i**2 + i**2)*(11*i + 15*i - 35*i) + 4*i**3 - 42 + 42 + 3*i**2 to u + b*i + c*i**3 + w*i**2 and give w.
3
Express (2*b**2 - 16*b**4 + 5810*b - 2907*b - 2905*b)*(156 - 98 + 65) in the form q*b**2 + d + m*b**3 + x*b**4 + w*b and give q. | {
"pile_set_name": "DM Mathematics"
} |
1. Put i, d, z in descending order.
d, i, z
Let c be ((-28)/70)/(10/(-10475)). Let f = -414 + c. Sort -4/3, -1.3, f in descending order.
f, -1.3, -4/3
Suppose s = -33 + 365. Suppose 7*o - 304 = -s. Put -2, o, 1, 8 in decreasing order.
8, 1, -2, o
Let f be (3/1)/(4880/305*(2 + -1)). Let a = 0.6 - -2.4. Let c = 3.1 - a. Put c, f, 5 in ascending order.
c, f, 5
Let r(m) = -2*m - 21. Suppose -5*v - 10 = 0, 0 = -2*w - w + 5*v - 35. Let o be r(w). Suppose -6 = -3*f - o. Sort 8, -2, f, -4 in descending order.
8, f, -2, -4
Let s = 852 + -850. Let u = -4 + 9. Put u, 4, s in descending order.
u, 4, s
Let j(l) = -88*l**2 - 673*l - 1. Let c be j(-7). Sort -5, -2, 0, c in descending order.
c, 0, -2, -5
Let k = 564.3536 + -564. Let u = k - 0.0536. Sort 5, -1/5, u, -4 in descending order.
5, u, -1/5, -4
Let f(x) = x**2 + 22*x + 3. Let h(o) = o**2 + 24*o + 2. Let v(y) = -6*f(y) + 5*h(y). Let z be 0 + 2 + 26/(-2). Let u be v(z). Put -1, u, 1 in decreasing order.
u, 1, -1
Let j = -0.42 + 0.02. Let z(p) be the second derivative of -p**5/10 + 7*p**4/12 + p**3/3 + 3*p**2/2 - 2*p + 7. Let a be z(4). Put a, 0.5, j in decreasing order.
0.5, j, a
Suppose x + 5*z = 23, 21 = -3*x + 3*z - 0*z. Let u(r) = -15*r - 135. Let v be u(-9). Put 5, x, -5, v in ascending order.
-5, x, v, 5
Suppose -4*v + 36 = -16*v + 24. Sort v, -5, 23, -4, -10 in decreasing order.
23, v, -4, -5, -10
Let s = -1.8668 - -9.8668. Let n = 3/14 - 43/70. Let w = 1.3 - 6.3. Sort w, s, 2, n in increasing order.
w, n, 2, s
Let f be (-1691)/(-890) + (-15)/6. Sort -324, -4, f, -0.2.
-324, -4, f, -0.2
Let c = -8963.83 + 8964. Sort -0.5, c, -12, -0.3 in ascending order.
-12, -0.5, -0.3, c
Let z(v) = -3*v - 19. Suppose 0 = -g + 107 - 115. Let o be z(g). Put 0.5, 0.2, -0.3, o in increasing order.
-0.3, 0.2, 0.5, o
Let v = -5500 + 5488. Put -2, -1, v, 16, -5 in decreasing order.
16, -1, -2, -5, v
Let y(h) = -h**3 - h**2 + 48*h + 60. Let l be y(7). Put -7, 23, l in ascending order.
-7, l, 23
Let q be 1 - ((-14)/1 - 4). Suppose -q*g + 42 + 53 = 0. Sort 6, -2, 0, g in decreasing order.
6, g, 0, -2
Let c(q) = q + 4. Suppose 3*v = -0*v - 4*j + 4, 5*v - j = -24. Let l be c(v). Suppose l = -p - p. Sort -1, p, -7 in ascending order.
-7, -1, p
Let z(d) be the first derivative of d**4/2 - 28*d**3/3 + 14*d**2 - 29*d + 101. Let g be z(13). Sort 3, 1, g, 4 in decreasing order.
4, 3, 1, g
Let r(s) = -2002*s + 82072. Let i be r(41). Let q = -1 + 1. Sort i, -3, q, -4 in descending order.
q, -3, -4, i
Suppose -36*d = 115 - 115. Put 93, 2, -5, d in ascending order.
-5, d, 2, 93
Let r = -3751 + 3753. Put r, -7, -98/5 in decreasing order.
r, -7, -98/5
Let g = 8 - 3. Suppose j + b = -2, 14*b - 11*b = -2*j - 4. Let i(l) = l**2 + 3*l. Let f be i(-4). Sort j, g, f in decreasing order.
g, f, j
Let z = -0.205 - 2.795. Let b = 123 - 125. Put 2, z, -0.9, b in descending order.
2, -0.9, b, z
Let w be (-2 - (-260)/(-39))*(29 + 1). Let z = -1037/4 - w. Sort -0.1, 5, z in descending order.
5, z, -0.1
Suppose 3*x - 4*d + 19 = 4*x, 4*d = -4*x + 4. Let h(k) = -3*k**3 - k**2 + k. Let n be h(1). Sort 8, x, n, 3 in ascending order.
x, n, 3, 8
Let b = 0.3691 + -0.3691. Sort 1/16, -0.2, b, 3, 2 in ascending order.
-0.2, b, 1/16, 2, 3
Let r = -28.149 + 28.239. Sort 1, r, -1, 17, -2/9.
-1, -2/9, r, 1, 17
Let c(g) = -187*g - 1310. Let b be c(-7). Put b, -5, 16, 4 in descending order.
16, 4, b, -5
Let v be ((-40)/50 - (-42)/15)/(-5 + -2). Let k = 0.8 - -0.2. Sort 12, k, v.
v, k, 12
Let w = 325 - 1943/6. Let r = -2 + 1.4. Sort 5, r, w in decreasing order.
5, w, r
Let l be (44/55)/(12/10). Suppose -15 - 9 = 6*a. Put 4/7, a, l, -0.3 in ascending order.
a, -0.3, 4/7, l
Suppose -91*l - 251 = 113. Put 5, -1, l, -21 in increasing order.
-21, l, -1, 5
Suppose c - 5*c + 4 = 0, 5*q = -2*c + 17. Suppose 0*h - 4*u = 4*h - 8, h - q = -2*u. Sort h, 14, 2 in decreasing order.
14, 2, h
Let u be 3/(-21)*-4 + 8088/28. Let h be (289*1 - -1) + 0. Let c = h - u. Sort 2, 3/5, c in decreasing order.
2, 3/5, c
Let l(b) = -b**3 + b - 2. Let v be l(-2). Put v, -5, -2, 9 in decreasing order.
9, v, -2, -5
Let f = 43.36 - 48.36. Put 0, 74.6, -1/7, f, -2 in decreasing order.
74.6, 0, -1/7, -2, f
Suppose -49*c - 831 = -978. Put 336, 4, c in descending order.
336, 4, c
Suppose -5*f + 4*f = 2*f - 63. Put -6, 2, f, -1 in ascending order.
-6, -1, 2, f
Let h = -661 - -574. Put 5, h, 2, 0 in descending order.
5, 2, 0, h
Let p = -1987/4 - -1609/4. Let f = p - -94. Let t = -51/344 - -1/43. Put t, f, -4, 0 in increasing order.
-4, f, t, 0
Let w = -29 - -48. Suppose 11 = -5*r - w. Let d be (1 - 2)*-9 + 17955/(-2025). Put -0.1, d, r in decreasing order.
d, -0.1, r
Let y be (1*2/(-2))/(2/2). Let i = -2/87 - -91/174. Put y, -0.4, i, -1/4 in decreasing order.
i, -1/4, -0.4, y
Suppose 0*g + 16 = -4*g. Let r(s) = s**2 + 31*s - 12. Let f be r(-14). Let m = 224 + f. Sort g, m, -5 in increasing order.
m, -5, g
Let b be (-3*(-4)/(-18))/(153/27). Suppose 3*u - 5*p = -224, 4*p - 12 = p. Let y be u/(-51)*(-6)/10. Sort 17, 3, b, y in descending order.
17, 3, b, y
Let o(h) = 7*h + 38. Let l be o(-14). Let z be (18/15)/((-18)/l). Sort z, 2, 0 in descending order.
z, 2, 0
Let o be 15 - (5 + 13)*1. Sort -4, o, -437 in decreasing order.
o, -4, -437
Let j = -8/3413 + -2242309/13652. Let q(h) = -55*h + 2. Let l be q(3). Let m = j - l. Sort -3, -2/9, m in descending order.
-2/9, m, -3
Let n be ((-8)/(-3))/(194/291). Sort -3, -5, n, -7.
-7, -5, -3, n
Let o = 0.0274 - 44.4274. Let g = -0.051 - 42.949. Let x = g - o. Put x, -3/5, 2 in increasing order.
-3/5, x, 2
Let g = 0.608 - 0.7. Let o = g - 2.188. Let f = -0.28 - o. Put 1, f, -2 in increasing order.
-2, 1, f
Let f = 0.8 - -3.2. Let q be (-2)/52*(9 + -7)*54. Let l = 136/39 + q. Sort f, 2/5, l in decreasing order.
f, 2/5, l
Let u be 2 - (0 + -2 + 7). Suppose 26 = 2*x + 2*y, 186*y = 189*y - 30. Put x, u, -11 in increasing order.
-11, u, x
Suppose -39*y = -18*y. Suppose y = 100*p - 92*p. Put 49, p, 5 in descending order.
49, 5, p
Let k be 0/(-3) + 2/8. Let c = 459/4 + -115. Sort c, -8, k in decreasing order.
k, c, -8
Suppose 15*r + 1291 + 577 = -577. Put r, 6, 5 in descending order.
6, 5, r
Let x(w) = -w**3 + 31*w**2 + 20*w - 624. Let b be x(31). Sort -5, 4, 5, b, 3 in descending order.
5, 4, 3, b, -5
Let s = 8068 - 8061. Put s, 36, -0.2 in ascending order.
-0.2, s, 36
Let n = -30245 - -30240. Sort -2, -3, n, 0, 2.
n, -3, -2, 0, 2
Let x(p) = p**3 + 21*p**2 + 22*p + 28. Let z be x(-20). Let v be z/(-42) + 932/(-28). Let b = -33 - v. Put 1, b, 3 in increasing order.
b, 1, 3
Let f be (-20)/32*3/(-10). Let z = -9/16 - f. Let u = 109.7 + -110. Sort u, -2/13, z.
z, u, -2/13
Let h = 3 + -9. Let n = h + 4.8. Let j = -1.81 + 6.81. Put j, 1/3, n in ascending order.
n, 1/3, j
Suppose -5*d + 28 = -4*x, -d + 0*d = 4*x + 4. Let c be 1/12*x + (-136)/48. Put -5, -90, c in descending order.
c, -5, -90
Let q = -632 + 638. Sort 4, q, -0.9 in decreasing order.
q, 4, -0.9
Let p = 21 + -21. Let k = 0.3 + 0.1. Suppose -5*n - 4*l - 6 = -8, n - 3*l - 8 = 0. Put n, p, k, 0.1 in decreasing order.
n, k, 0.1, p
Suppose 0 = -35*y + 316 - 1226. Put y, 0, 15 in decreasing order.
15, 0, y
Let q = 0.1 + -0.2. Suppose 3*c = 2*a - 17, 4*a + 155 = -32*c + 17*c. Let i be 3*(1 + 21/(-27)). Sort -1, a, i, q in increasing order.
a, -1, q, i
Let b be (-15)/35 - (-2307)/(-7). Let f be 1/14*-2 + b/42. Suppose -5*r = 3*g + 22, g = -3*r - 2*r - 24. Put f, r, 2 in descending order.
2, r, f
Let h be 4/((-1)/(-1) + 0). Let j(f) = 3*f**3 - 21*f**2 - f - 24. Let d be j(7). Put d, h, -1, -4 in ascending order.
d, -4, -1, h
Let c = -79 - -75. Let w(t) = -2*t**2 - 6*t + 12. Let m be w(c). Sort -26, 2, m.
-26, 2, m
Let l = 966 - 970. Let x = -0.81 - -0.85. Let s = 8 - 4. Sort 0.5, l, s, x in decreasing order.
s, 0.5, x, l
Suppose 4*a - 66*f = -61*f - 19, 0 = -5*a + f - 50. Sort 2, 0, a, 1, -4/11 in increasing order.
a, -4/11, 0, 1, 2
Suppose -4*h = 4*o, -166*o - 30 = -167*o + 4*h. Sort -3, o, -5, -61, 0.
-61, -5, -3, 0, o
Suppose -25*d = -3*n - 20*d - 3, 6 = 2*d. Sort 0, -4, 1, n, 1069 in decreasing order.
1069, n, 1, 0, -4
Let r = 11.6 + -11. Let n = r - -4.4. Let p(g) = 2*g**2 - 32*g. Let s be p(16). Put -3, 4, n, s in decreasing order.
n, 4, s, -3
Let c = 8 + -7. Suppose 5*u = -i + 28 - 5, -2*i = -2*u + 14. Let p be | {
"pile_set_name": "DM Mathematics"
} |
z**2 + 2*z - 1. Suppose -6*i + 48 = -204. Suppose -261*d = -254*d - i. What is d*u(m) + 17*g(m)?
-2*m - 2
Let g(j) be the third derivative of j**6/60 + j**5/5 - j**4/6 - j**3/2 - j**2 + 17*j. Let s(w) = -4*w**3 - 24*w**2 + 7*w + 5. Determine -5*g(o) - 3*s(o).
2*o**3 + 12*o**2 - o
Let i(n) = -n**3 + 659*n - 2. Let t(j) = -j**3 + j**2 + 661*j - 3. Give 3*i(g) - 2*t(g).
-g**3 - 2*g**2 + 655*g
Let o(x) = x**3 - x**2 - 2. Let z(a) = 63*a**3 + 4*a**2 + 28*a + 8. Determine -4*o(j) - z(j).
-67*j**3 - 28*j
Suppose 0 = 8*v - 15 - 5 - 12. Let k(r) = 2*r + 5. Let g(w) = 4*w + 10. Give v*g(l) - 7*k(l).
2*l + 5
Let z(c) = 263*c. Let o(f) = -7969*f. Calculate 3*o(i) + 91*z(i).
26*i
Let s(p) = 3413*p**3 - 5*p**2 - 10*p + 5. Let r(l) = 3414*l**3 - 4*l**2 - 8*l + 4. What is -5*r(w) + 4*s(w)?
-3418*w**3
Let s(t) = -t**3 + t**2 + 2*t - 3. Let w = 285 - 261. Suppose 2*m = 6*m - w. Let y(x) = 5*x**3 - 6*x**2 - 11*x + 17. Determine m*y(o) + 34*s(o).
-4*o**3 - 2*o**2 + 2*o
Let s be (-2)/9 - 33/(-27). Let f(w) = -9*w - 3 + s - 4*w**2 + w + 4*w. Let c(u) = -5*u**2 - 5*u - 2. Give -5*c(q) + 6*f(q).
q**2 + q - 2
Let x(d) be the second derivative of -d**3/3 - d**2/2 + 2173*d. Let g(z) = z**2 + z. Determine -4*g(m) - 3*x(m).
-4*m**2 + 2*m + 3
Let w(k) = -4*k**2 - 5. Let a(n) = 2*n**2 + 2. Suppose -440 = r - 3*x, -1260 = 3*r - x + 4*x. Let m = 427 + r. Determine m*w(d) + 5*a(d).
2*d**2
Let v(h) = h**3 + h**2. Let b(y) = 48*y + 19. Let c be b(9). Let r = 452 - c. Let s(f) = -7*f**3 + 3*f**2. Calculate r*s(d) - 3*v(d).
-10*d**3
Let k(n) = -8*n**3 + 14*n**2 + 4*n + 6. Let b(u) = 8*u**3 - 10*u**2 - 4*u - 4. Determine 3*b(y) + 2*k(y).
8*y**3 - 2*y**2 - 4*y
Suppose 5*l + b = 83, 3 = -b + 2*b. Let m(y) = -5*y**3 - 23 - 25 - 26 + 98 - 19 - 3*y**2. Let h(u) = 26*u**3 + 16*u**2 - 26. What is l*m(j) + 3*h(j)?
-2*j**3 + 2
Let u(c) = 5*c**2 + 4*c + 2. Let g(i) = 4*i + i**2 - 276 - 3*i + 277. Suppose -10 = -49*n + 39*n. Give n*u(x) - 3*g(x).
2*x**2 + x - 1
Let c(k) = -182 + 10*k + 63 + 64 - 9*k + 54. Let s(h) = -28*h**2 - 8*h + 8. Determine -8*c(p) - s(p).
28*p**2
Let q(s) = 5*s + 2. Let o be q(3). Let h(r) = r**2 - 6*r + 6. Let g(u) = -3*u**2 + 17*u - 17. Let w = -65 + -11. Let y = -70 - w. Calculate o*h(j) + y*g(j).
-j**2
Let u(j) = j**2 - j - 4. Let c(v) = 5*v**3 + 11*v**2 - 10*v - 239. Calculate -c(m) + 11*u(m).
-5*m**3 - m + 195
Let v(i) = i**2 - i - 6. Let z = -7 + 13. Let u(n) = 120*n**2 + 12*n + 17. Let m(c) = -79*c**2 - 9*c - 17. Let l(t) = 3*m(t) + 2*u(t). Give z*l(p) - 17*v(p).
p**2 - p
Let d(z) = -z**3 - z**2 + 2*z + 4. Let p(t) = -26*t**3 - 4*t**2 - 2*t - 2. Determine d(u) + p(u).
-27*u**3 - 5*u**2 + 2
Let x(l) = 69*l**2 - 7*l - 148. Let z(o) = 47*o**2 - 5*o - 107. Determine -5*x(y) + 7*z(y).
-16*y**2 - 9
Let l(o) = -3*o**2 - o + 200. Let u(g) = -g**2 + 1. Calculate l(y) - 4*u(y).
y**2 - y + 196
Let d(k) = 11*k**2 - k - 69. Let q(t) = -2*t**2 + t + 1. Give -d(s) - 4*q(s).
-3*s**2 - 3*s + 65
Let b(r) = -7*r**3 - 49*r**2 - 9*r + 1527. Let m(i) = -3*i**3 - 22*i**2 - 4*i + 764. Calculate -4*b(h) + 9*m(h).
h**3 - 2*h**2 + 768
Let w(o) = -799*o - 54. Let v(b) = 399*b + 32. What is 5*v(u) + 3*w(u)?
-402*u - 2
Let j(z) = -54*z - 325. Let r be j(-6). Let u(q) = q**3 - 1. Let h(y) = 15*y**3 + 4*y - 6. What is r*h(k) + 6*u(k)?
-9*k**3 - 4*k
Let v(l) = -l**3 + 13*l**2 - 60*l + 244. Let r be v(11). Let f(n) = -1015*n**2 + 174*n + 174. Let w(q) = 29*q**2 - 5*q - 5. Calculate r*w(c) - 5*f(c).
29*c**2
Let n(u) = 3*u + 5. Let q be 12*(-6)/(6 + -24). Let s(v) = -25*v - q - 21*v + 44*v. What is 3*n(r) + 4*s(r)?
r - 1
Let o(p) = -12*p**2 + 6*p + 2. Let j(r) = -r**2 + 18*r - 39. Let w be j(3). Let a(l) = -11*l**2 + 5*l + 1. Calculate w*a(y) - 5*o(y).
-6*y**2 - 4
Let p(y) = -y**2 - 455*y. Let m(i) = 2*i**3 - i**2. What is m(x) - p(x)?
2*x**3 + 455*x
Let m(l) = -11*l + 3. Let c(u) = -87*u + 2069. Determine c(h) - 8*m(h).
h + 2045
Let o(f) = -5*f**2 + f - 1. Let s be ((-7)/(-2))/(18/36). Let n be s - (-4)/(-6)*3. Let u(y) = -1 + 2 - n - 2*y + 6 + 9*y**2. Give 5*o(i) + 3*u(i).
2*i**2 - i + 1
Let q(a) = 393 + 410 + 391 - 1195. Let d(i) = 0 + 0 + 2*i. Determine d(f) - 3*q(f).
2*f + 3
Suppose 21*c + 47 = -37. Let t(s) = 5*s - 19. Let r(z) = 2*z - 9. Let x(i) = i**3 + 13*i**2 + 16*i + 57. Let d be x(-12). Calculate c*t(p) + d*r(p).
-2*p - 5
Let n(y) = 1338*y - 110. Let q(g) = 8029*g - 682. What is 31*n(h) - 5*q(h)?
1333*h
Let j(c) = 32*c**3 - 17*c**2 + 2*c. Let d(v) = 4*v**3 - 2*v**2 + v - 3. What is 2*d(l) - j(l)?
-24*l**3 + 13*l**2 - 6
Let j(x) = -4*x - 87. Let z(h) = 3*h - 1. What is j(g) + 3*z(g)?
5*g - 90
Let k(s) = 3*s + 31*s - 35*s. Let v(q) = -1. Determine 2*k(z) + v(z).
-2*z - 1
Let r(p) = 2*p + 5. Let v(c) = -2*c + 3. Let b(m) = -19*m + 28. Let h(q) = -b(q) + 9*v(q). What is 6*h(g) + r(g)?
8*g - 1
Let b = 2271 + -2267. Let g(u) = -13*u**2 - 4*u. Let a(x) = -272*x**2 - 85*x. Calculate b*a(i) - 85*g(i).
17*i**2
Let d(o) = -9*o**2. Let s(t) = -t**2. Let k(w) = -6*w - 26. Let f be (-60)/(-210) - (1 - (-46)/14). Let h be k(f). What is h*d(u) + 14*s(u)?
4*u**2
Let u(p) = 43*p**2 + 5*p + 6. Let r(j) = -85*j**2 - 10*j - 11. Determine 6*r(f) + 11*u(f).
-37*f**2 - 5*f
Let c(k) = -1749*k + 14. Let x(o) = -o + 2. What is c(q) - 8*x(q)?
-1741*q - 2
Let q(x) be the second derivative of -17*x**3/6 - 3*x**2 - 5*x + 464. Let n(o) = -o + 1. Calculate 5*n(j) + q(j).
-22*j - 1
Let w(p) = -469*p - 458. Let i be w(-1). Let q(z) = -177*z**2 + 11. Let b(f) = 59*f**2 - 4. What is i*b(l) + 4*q(l)?
-59*l**2
Let h(g) = 2*g**3 - 24*g**2 - 28*g + 335. Let d be h(12). Let i(m) = 13*m - 6. Let x(z) be the third derivative of -z**3/6 + 4*z**2. Give d*i(v) + 6*x(v).
-13*v
Let n(w) = -50*w - 24. Let b(l) = -106*l - 47. What is -4*b(i) + 9*n(i)?
-26*i - 28
Let n(c) = -11*c**3 - c**2 - 9*c - 894. Let j(z) = 9*z**3 + z**2 + 7*z + 901. What is 6*j(q) + 5*n(q)?
-q**3 + q**2 - 3*q + 936
Let x(t) = -5*t**2 + 4*t - 9. Let r(s) = 25*s**2 - 15*s + 33. Let k(w) = 6*r(w) + 22*x(w). Let b(q) = 41*q**2 - 2*q. What is 4*b(c) - 3*k(c)?
44*c**2 - 2*c
Let g(p) = -12*p**2 + 12*p + 48*p + 16*p + 17 + 25*p**2. Let x(v) = 3*v**2 + 19*v + 4. What is 2*g(s) - 9*x(s)?
-s**2 - 19*s - 2
Let p(k) = -21*k + 64. Let i(m) = -m - 3. What is -6*i(x) + p(x)?
-15*x + 82
Let h(q) = -127*q + 8 + 2*q**2 - 130*q + 270*q - 9. Let s(z) = -2*z**2 - 14*z + 1. Give 6*h(u) + 5*s(u).
2*u**2 + 8*u - 1
Let g(z) be the third derivative of z**4/12 + z**3 + 22*z**2. Let b = -7084 + 7086. Let w(l) = -l - 6. Calculate b*g(q) + 3*w(q).
q - 6
Let d(o) = 16*o**3 - o**2 + 36*o - 27. Let j(r) = 5*r**3 + 14*r - 9. Determine 3*d(w) - 8*j(w).
8*w**3 - 3*w**2 - 4*w - 9
Let u(q) = 7*q**3 + 169*q**2 - 4*q + 4. Let k(j) = 29*j**3 + 678*j**2 - 18*j + 18. What is 2*k(v) - 9*u(v)?
-5*v**3 - 165*v**2
Let s(q) = -17*q**3 + 3*q**2 - 234*q - 2. Let g(l) = -14*l**3 + 2*l**2 - 233*l - 2. Calculate -5*g(r) + 4*s(r).
2*r**3 + 2*r**2 + 229*r + 2
Let n(s) = -102*s**3 - 10*s**2 - s + 61. Let d(w) = -102*w**3 - 8*w**2 - w + 47. Determine 4*d(v) - 3*n(v).
-102*v**3 - 2*v**2 - v + 5
Let t(d) = 1289595*d**2 + 15645*d + 10430. Let h(p) = -1484*p**2 - 18*p - 12. Calculate 5215*h(u) + 6*t(u).
-1490*u**2
Let i(o) = 22*o**3 + 137*o**2 - 4*o + 28. Let d(h) = -20*h**3 - 138*h**2 + 5*h - 35. Calculate 4*d(c) + 5*i(c).
30*c**3 + 133*c**2
Let k(m) = 5*m. Let w(f) = f. Let g be (-55)/(77/(-7)) - (1 + -1). Suppose -g*o - 5*x - 14 = 6, -3*o + 3*x = 0. Calculate o*w(b) - k(b).
-7*b
Let s(m) = -10*m**3 - 5*m**2. Suppose 5*f - 69479 = 62631. Let r(h) = 2*h**2 + f - 26422 + 5*h**3. Calculate 5*r(i) + 2*s(i).
5*i**3
Let h(y) = y**3 - 78*y**2 + 318*y - 87. Let q be h(4). Let p(u) = -6*u + 14. Let z(c) = 0 + 0 - 1. Determine q*p(f) + 12*z(f).
-6*f + 2
Let z(l) be the second derivative of 0 - 7/12*l**4 + 204*l + l**2 - 5/6*l**3 + 1/10*l**5. Let j(c) = 3*c**3 - 11*c**2 - 8*c + 3. Give -5*j(k) + 8*z(k).
k**3 - k**2 + 1
Let l(r) = -854*r**3 - 182*r. Let v(w) be the third derivative of -7*w**6/60 - w**4/8 + 1272*w**2. Calculate 6*l(b) - 364*v(b).
-28*b**3
Let h(x) = -7*x**2. Suppose 7*v - 18 = 10*v. Let r be (1 - 3)/((-4)/(-10)). Let g(z) = 4*z**2 + 5*z**2 + 10*z**2 - 13*z**2. What is r*h(a) + v*g(a)?
-a**2
Let h(p) = 41*p**2 + 9*p**2 + 16*p + 3 + 2*p**3 - 41*p**2 + 5*p**3. Let i(q) = -3*q**3 - 4*q**2 - 8*q - 1. Give -2*h(j) - | {
"pile_set_name": "DM Mathematics"
} |
-0.01018327
-376.98981673
45871.3 - -9.2
45880.5
What is 3 minus 2387415.35?
-2387412.35
Work out -367 - -41856640.
41856273
What is -580289398 minus 4?
-580289402
What is -403304.7 plus -0.276?
-403304.976
What is the distance between -3.731302 and 0.039?
3.770302
Add together -4 and -13044.16112.
-13048.16112
-166.6 + 0.12062
-166.47938
0 + 0.05292972
0.05292972
What is 38244344 take away 4?
38244340
What is 298182.44 less than 0.2?
-298182.24
What is 0.208213 take away 0.276?
-0.067787
What is 8 - -8266.0139?
8274.0139
-32.9+-0.082192
-32.982192
Subtract 43297.48 from 0.0057.
-43297.4743
19 + -155081417
-155081398
What is -662173948 take away -5?
-662173943
Total of 4909619 and 0.5.
4909619.5
Add 210.3277 and -7.
203.3277
Calculate 35315 + 2874.
38189
Work out 1.997 - 1221.032.
-1219.035
Calculate 0.5 - -177313900.
177313900.5
245126.15133 + 0.5
245126.65133
818643+10
818653
What is the distance between 0 and 1808890281?
1808890281
-41.808 + -195548
-195589.808
Sum 5 and 18614726.
18614731
What is -53.521728 minus 45?
-98.521728
What is -0.4 take away -25355650?
25355649.6
Work out -24.7 - -0.340067956.
-24.359932044
Calculate -0.12 - 465518442.
-465518442.12
What is -2441074.09 minus -0.52?
-2441073.57
What is the difference between 14634781 and 0.1?
14634780.9
Put together 25 and 2622.627.
2647.627
What is 16.7033 + 0.0598?
16.7631
Work out 8653907 - -35.59.
8653942.59
What is 35.3799 less than 0.0159?
-35.364
What is -7.629742 take away 2019?
-2026.629742
Subtract 0.08 from -3625277.
-3625277.08
What is -3.09662684 - -1?
-2.09662684
What is 44 plus -105533?
-105489
-0.1 - 33.250331
-33.350331
Work out -0.80319 - 195.45.
-196.25319
What is 126 minus 549442?
-549316
Sum 0.0984 and -277654.
-277653.9016
17454.337 - -0.003
17454.34
What is 0.018 + -14929.42?
-14929.402
What is the difference between -44.6 and -1554.11?
1509.51
Add 138715.74 and 9.
138724.74
What is -1 plus 1.5428261086?
0.5428261086
Subtract 754544 from 0.49138.
-754543.50862
Subtract -0.0368 from -21916.9.
-21916.8632
What is 41 - 1366400?
-1366359
What is the distance between 3291 and 17868?
14577
Total of 2795.449911 and -0.1.
2795.349911
Add -303.301 and -2.
-305.301
What is -0.018 less than -8.74589?
-8.72789
Add together 0.2479609 and 1758.
1758.2479609
Subtract 13800384 from 0.
-13800384
What is 356 minus 46763.099?
-46407.099
What is -116.371 take away -6120?
6003.629
What is the distance between 0.0696 and -156597?
156597.0696
-1459809178 + 0.3
-1459809177.7
Subtract -6 from 23409049.
23409055
What is 32034 less than -0.19?
-32034.19
Total of -21655152 and -15.
-21655167
0.053292 + -1137.59
-1137.536708
Sum 1 and 2.15262458.
3.15262458
Calculate -0.90027 - -3895.
3894.09973
11 + 1140028
1140039
Calculate -1 + 1605.43.
1604.43
Sum 1216.17 and 723.
1939.17
-7+107464027
107464020
Put together 66.3947171 and 1.
67.3947171
-13863.876 + -10
-13873.876
34566396 - -5
34566401
807.46+-48
759.46
Add together -4645 and -7.654.
-4652.654
Add together 38524 and 350182.
388706
What is the distance between 103727049 and 0.02?
103727048.98
What is the difference between 0.4 and 0.1869001527?
0.2130998473
Total of 35.2 and -100.05.
-64.85
What is 3657898 - 1?
3657897
Subtract -1948963 from -33.06.
1948929.94
What is -7617858691 minus 0.5?
-7617858691.5
-12+41.016482
29.016482
Work out -126 + 36.632555.
-89.367445
What is 33.3 - -635852?
635885.3
What is -21.77205 - 6807?
-6828.77205
Work out -9.2340822357 - -3.
-6.2340822357
Calculate -1760 - 199.1.
-1959.1
What is the difference between 291471627.3 and -4?
291471631.3
0.47 + 689758
689758.47
What is 39.05 less than -0.4417?
-39.4917
Add together -24279596 and 293.
-24279303
What is 16 plus -95.1465209?
-79.1465209
Subtract -27 from -66968.7222.
-66941.7222
Work out 0 - -742044401.
742044401
Subtract -13756310 from 337.
13756647
Work out 0.01597 - -1.11258.
1.12855
What is 7.818 take away 21.987?
-14.169
Calculate 11512547 + 3.
11512550
Calculate -0.0415 - -880.4354.
880.3939
Work out -253 - -19784.3.
19531.3
Add 63 and -12677.268.
-12614.268
Calculate 1 - -4086.89745.
4087.89745
Add together -1418300 and -53.
-1418353
Add -1 and 1182212.
1182211
0.898253 + -721
-720.101747
Work out -100604033 - 0.021.
-100604033.021
Work out 131 + -12349.
-12218
-7602 - 154.3973
-7756.3973
What is 1963284559 + -13?
1963284546
-0.05+18.92500988
18.87500988
Total of 931549.57 and 9.
931558.57
Work out -4.22 + 3826276.
3826271.78
Work out 94.25 - -0.17291.
94.42291
What is 0.054602 plus 1716?
1716.054602
What is 97.7468 take away 6?
91.7468
2.7 - -85721.05
85723.75
3632636 + -0.5385
3632635.4615
What is -134 take away 4737.166?
-4871.166
What is 0.3 minus 1047.0682713?
-1046.7682713
Add together 2.8 and -22589304.
-22589301.2
0.023154009+0.64
0.663154009
What is -7420.6375 + 446?
-6974.6375
What is 0.11782398 - -336?
336.11782398
Calculate -6862487 + -0.1149.
-6862487.1149
0.5 + -147.823405
-147.323405
What is -6893 take away 305.22?
-7198.22
Add together 36758499 and 3.
36758502
Calculate -0.048 - 663172.
-663172.048
What is -78.98 minus 59?
-137.98
Total of -9 and -20075001.
-20075010
Put together -0.07796 and 415.
414.92204
Work out 52631991 + 3.
52631994
What is the difference between 79390 and 229544?
150154
Calculate 9698.070838 + 0.5.
9698.570838
What is 217 take away -283582?
283799
What is -16.47342287 minus 0.2?
-16.67342287
Add -82 and 36.804743.
-45.195257
Sum 76.5332 and 0.05.
76.5832
-11046 - -85.3
-10960.7
What is -38.79 minus 1795?
-1833.79
What is -6.3 - 89781.1?
-89787.4
What is -62506380.58 + -0.1?
-62506380.68
What is -11327.79 plus 100?
-11227.79
Subtract 0.1 from -1768005317.
-1768005317.1
What is the difference between -0.7 and -0.01637786?
0.68362214
Total of 1201308.9 and -1738.
1199570.9
What is -1088 plus -0.01764408?
-1088.01764408
Sum 112627633 and 0.2.
112627633.2
Total of 414 and 0.692356.
414.692356
What is -5 - 33359922?
-33359927
Work out -94 - -3022397.
3022303
Sum -27025401 and 901.
-27024500
What is the difference between 349 and 0.051851797?
348.948148203
Put together 0.157 and -0.086209.
0.070791
Sum -0.1964 and 584828.
584827.8036
What is -0.15 plus -1202903.49?
-1202903.64
What is -4 + 24946.2?
24942.2
Calculate -16000038704 + 0.1.
-16000038703.9
Work out -987123 - -42.
-987081
203.352 - 1.7456
201.6064
What is -310 minus 338286.3?
-338596.3
Calculate -294373262 + -0.4.
-294373262.4
What is the distance between 8.51 and -4331338?
4331346.51
Work out 2849337 + -10.
2849327
-2 + 5090591
5090589
Work out -6 - 21866.06.
-21872.06
What is 7.2 + 0.41517?
7.61517
Total of 0.06 and 25959.79.
25959.85
Work out 15316.655 + -0.02.
15316.635
Total of -135.79742 and -0.06.
-135.85742
What is 3 - -2297847384?
2297847387
What is the difference between 3 and -139512.617?
139515.617
What is -0.695699 - 1.02?
-1.715699
Add 66 and -33560120.
-33560054
1 + -4481005
-4481004
Total of -0.2 and 1629.6793.
1629.4793
-0.0588 + -255692
-255692.0588
Add -135.02 and 86144.
86008.98
Add together -22.720092 and 0.339.
-22.381092
What is -7835 minus 1398?
-9233
Calculate -139202051 - -0.2.
-139202050.8
What is -0.2 take away 1448393915?
-1448393915.2
Calculate -0.6 - 19305512006.
-19305512006.6
Add together -2.7 and -584464139.
-584464141.7
Work out 0.33 - 338068330.
-338068329.67
Add together -20216278 and -350.7.
-20216628.7
What is the difference between -16 and 13.87931?
29.87931
Work out -91 - -181159.
181068
What is -0.1 plus -1075730684.3?
-1075730684.4
Add -3584261259 and 4.
-3584261255
What is 31.56 minus 2306313?
-2306281.44
1.2 + -59996.591
-59995.391
Work out -35091 + 1146595.
1111504
Subtract 0.06751824 from -975.
-975.06751824
Subtract -61790 from -14382.
47408
Total of -0.662 and 0.00137.
-0.66063
Sum -321 and 163.29.
-157.71
What is 98352.03 less than -2?
-98354.03
What is 0.07557113 less than -0.01?
-0.08557113
78+5041454
5041532
Subtract 0.02 from 4436.595.
4436.575
Subtract 0.29 from -491317218.
-491317218.29
What is 4 less than -0.0662785437?
-4.0662785437
Work out 45308103 + 11.
45308114
What is the difference between 225.7792 and 14?
211.7792
Add 0.05 and 10.594853.
10.644853
What is -1 minus 56598955?
-56598956
What is -1679097 less than -1819?
1677278
Work out -0.018504 + 175436.
175435.981496
What is -10241392 l | {
"pile_set_name": "DM Mathematics"
} |
u*n(a) + 5*t(a).
4*a
Let q(p) = p + 1. Let y(x) = -4*x - 3. Let l(j) = -3*q(j) - y(j). Let a(h) = h**2 - 12*h + 22. Let k be a(9). Let b(m) = -4*m + 2. Calculate k*l(u) - b(u).
-u - 2
Let x(c) = -5*c**2 + 17. Let q(o) = -3*o**2 + 8. What is 13*q(b) - 6*x(b)?
-9*b**2 + 2
Let n(f) = 13*f - 3. Let d(b) = -4*b + 1. What is -7*d(l) - 2*n(l)?
2*l - 1
Let n(r) = -16*r + 17. Let p(d) = 24*d - 25. Let q(s) = -8*n(s) - 5*p(s). Let g(t) = -3*t + 4. Suppose x = -5 + 16. What is x*g(f) + 4*q(f)?
-f
Let b(t) = -5*t**2 + 2*t + 3. Let j(l) = -6*l**2 + l + 4. Let i(r) = -3*b(r) + 2*j(r). Let c(p) = -p**2 + p. What is -4*c(x) - i(x)?
x**2 + 1
Let c(l) = -2*l**3 - 2*l. Let m(s) be the second derivative of -3*s**5/20 - s**3/2 + 9*s. Give -5*c(z) + 3*m(z).
z**3 + z
Suppose -4*s - 23 + 3 = 0. Let j(b) = -b**2 + 8*b + 2. Let k(a) = a. What is s*k(i) + j(i)?
-i**2 + 3*i + 2
Let p(b) = -8*b + 5. Let x(m) = -m + 1. What is -p(o) + 6*x(o)?
2*o + 1
Let r(o) = 3*o - 34. Let x(n) = 5*n - 67. Calculate -7*r(m) + 4*x(m).
-m - 30
Let p(q) = -q. Let c(n) = 100*n. Determine c(d) + 6*p(d).
94*d
Let a(g) = g**2 + 5*g - 5. Let w = -113 - -107. Let p(x) = -x**2 - 6*x + 6. Determine w*a(r) - 5*p(r).
-r**2
Let f(o) = 8*o**3 + 5*o**2 + o - 6. Let p(k) = 7*k**3 + 4*k**2 + k - 5. Determine 4*f(i) - 5*p(i).
-3*i**3 - i + 1
Let l(f) be the first derivative of -f**3/3 - 3*f**2/2 + 3*f + 9. Let n(b) = 3*b**2 + 7*b - 7. Give -7*l(p) - 3*n(p).
-2*p**2
Let a(q) = -12 + 7*q - 1 + 18. Let i(r) = -r - 1. Calculate -a(n) - 6*i(n).
-n + 1
Let x(k) = -7 + k + 9 - 2. Let m(a) = a + 1. Determine -m(y) + 2*x(y).
y - 1
Let w(n) = -n**2 - n. Let p(o) = -6*o**2 - o + 5. Let k(q) = 5*q**2 + q - 4. Let a(d) = 5*k(d) + 4*p(d). Let v be (-11)/((-11)/2) - 4. Give v*a(g) - 3*w(g).
g**2 + g
Let u(y) = 4*y. Let a(p) be the second derivative of -p**3/3 + 4*p. What is 5*a(x) + 3*u(x)?
2*x
Let z(g) = g - 1. Let v(j) = -9*j + 3. Determine -v(p) - 4*z(p).
5*p + 1
Let k(x) = -3*x**2 - 3*x + 3. Let d(n) = n**2 + n. Let y(o) = -9*o**2 - 10*o + 4. Let c(p) = -6*d(p) - y(p). Determine 3*c(u) + 4*k(u).
-3*u**2
Let s(q) = -23*q**3 + 8*q**2 - 3*q + 8. Let p(b) = 15*b**3 - 5*b**2 + 2*b - 5. Calculate 8*p(k) + 5*s(k).
5*k**3 + k
Let r(m) = -14*m**2 + 10*m - 2. Let c(k) = 29*k**2 - 21*k + 3. Let z(f) = 3*c(f) + 7*r(f). Let q(y) = -5*y**2 + 3*y - 2. Give -7*q(d) + 3*z(d).
2*d**2 - 1
Let i(c) be the first derivative of -c**2/2 - 2*c - 168. Suppose 0*r - 2*r = 0. Let b = r - -2. Let f(t) = t**2 + 5*t + 8. Calculate b*f(x) + 9*i(x).
2*x**2 + x - 2
Let n(v) be the first derivative of 2*v**3/3 + v**2 - 3*v + 13. Let q(d) = -10*d**2 - 11*d + 16. Calculate -11*n(c) - 2*q(c).
-2*c**2 + 1
Let c(t) = t**2 + t + 5. Suppose 2*o + 3 = 7. Let l be o + 1 + 0 + -10. Let n(j) = j**2 + j + 6. Give l*c(s) + 6*n(s).
-s**2 - s + 1
Let g = -4 + 7. Let w(c) = -1. Let j(i) = -5*i**2 - 5*i - 5. Let a(b) = -j(b) + 4*w(b). Let y(u) = -9*u**2 - 9*u - 2. Determine g*y(s) + 5*a(s).
-2*s**2 - 2*s - 1
Let v(z) = -2*z + 3. Let w(n) = n - 1. Give 5*v(t) + 15*w(t).
5*t
Let r(x) = x. Let n(q) = 6*q. Determine -3*n(h) + 16*r(h).
-2*h
Let h be 6/(-9)*(-33)/2. Let a(t) = 2*t**3 + t**2 + 2*t + 6. Let z = -123 - -117. Let l(j) = 4*j**3 + 0*j**3 + 4*j + 6 + 5 + 2*j**2. Determine h*a(n) + z*l(n).
-2*n**3 - n**2 - 2*n
Let y(p) = -9*p - 8. Suppose -a + 4*d = -0*d - 23, d + 11 = 2*a. Let u(z) = -3*z - 3. What is a*y(n) - 8*u(n)?
-3*n
Let i(b) = 13*b**2 - 7*b + 7. Let c(o) = o**2 + 1. Let y(t) = 2*t**2 + 2*t + 4. Let l(j) = -6*c(j) + y(j). Calculate -2*i(h) - 7*l(h).
2*h**2
Let q(u) = 13*u - 2*u - u**2 - 5 - u. Let v = 6 + 3. Let x be q(v). Let z(i) = -2*i**2 + 5*i - 6. Let m(o) = 3*o**2 - 6*o + 7. Determine x*m(k) + 5*z(k).
2*k**2 + k - 2
Let q be ((-2)/(-6))/((-2)/(-18)). Let h(c) = -2*c**3 - 3*c**2 - 2*c - 3. Let i(u) = -2*u**3 - 2 - 2*u**2 - 42*u + 0*u**2 + 40*u. Determine q*i(f) - 2*h(f).
-2*f**3 - 2*f
Let o(n) = -9*n**2. Let i(c) = -46*c**2. What is 2*i(y) - 11*o(y)?
7*y**2
Let n(m) = 20*m + 25. Suppose o = -7*o + 200. Let x(a) = -a - 1. Calculate o*x(i) + n(i).
-5*i
Let w(r) = -5*r - 9. Let s(o) = -11*o - 19. Calculate -6*s(h) + 13*w(h).
h - 3
Let g(y) = -y**3 - 5*y**2 - 3*y + 6. Let d be g(-3). Let m(f) = 2*f**3 - 3*f**2 + 3*f. Let l(t) = 6*t**3 - 10*t**2 + 10*t. Determine d*l(q) + 10*m(q).
2*q**3
Let u(b) = 5*b**2 + 2. Let d(z) = -z**3 + z**2. Determine -5*d(c) + u(c).
5*c**3 + 2
Let v(b) = 6*b. Let s(y) = 7*y. Suppose -z - 2*p + 4 = -3, -z = 4*p - 9. Give z*s(x) - 6*v(x).
-x
Let i be (-2)/(-8) + (-2)/24. Let s(b) be the second derivative of -3*b**2 + b + 0 - i*b**3. Let k(g) = -g - 5. Give 7*k(c) - 6*s(c).
-c + 1
Let s(h) = 34*h. Let b(n) = -817*n. Determine -4*b(d) - 95*s(d).
38*d
Let k(y) = 17*y - 1 + 15*y - 31*y + y**3. Let t(d) = -4*d**3 + 2*d**2 - 3*d + 5. Give 3*k(v) + t(v).
-v**3 + 2*v**2 + 2
Let s(p) = -p. Let b(z) = z - 9. What is -b(j) + s(j)?
-2*j + 9
Let r(v) = -9*v**3 + 13*v**2. Let l(t) be the first derivative of -t**4 + 2*t**3 + 169. Let c be (0 - 1)/(2/26). Determine c*l(h) + 6*r(h).
-2*h**3
Let z be (1/(-4)*-2)/(2/(-24)). Let g(t) = -4*t**3 + 3*t - 3. Let d(o) = -o**3 + o - 1. Determine z*d(r) + 2*g(r).
-2*r**3
Let c(u) = -u**2 + u. Suppose -2*o + 5 = 3*s, -3*o + 3*s + 1 = s. Let b(k) be the first derivative of -8*k**3/3 + 5*k**2 + 2*k + 9. Calculate o*b(t) - 10*c(t).
2*t**2 + 2
Suppose 10*c - 3*c = -77. Let m(b) = 2*b - 5. Let p(i) = 10*i - 26. What is c*m(r) + 2*p(r)?
-2*r + 3
Let x = 3 + -1. Let k(m) = 10 + m**x - 17 + 3*m**2. Let b(h) = 2*h**2 - 3. Determine -9*b(i) + 4*k(i).
-2*i**2 - 1
Let q(f) be the third derivative of f**4/6 - 5*f**3/6 - 3*f**2. Let k(g) = 3*g**2 - 5*g + 3. Let i be k(2). Let s(p) = -5*p + 6. What is i*s(y) + 6*q(y)?
-y
Let m(l) = 6*l**3 + 10*l**2 - 6*l - 4. Let j(k) = 7*k**3 + 9*k**2 - 7*k - 5. Give -5*j(z) + 6*m(z).
z**3 + 15*z**2 - z + 1
Let p(a) be the first derivative of -a**3 - 3*a**2/2 - a + 15. Let z(w) = 9*w**2 + 8*w + 2. What is -8*p(b) - 3*z(b)?
-3*b**2 + 2
Let o(g) = 2*g**3 - 11*g**2 - 5*g - 5. Let u(r) be the third derivative of r**6/40 - 4*r**5/15 - 7*r**4/24 - 7*r**3/6 - 33*r**2. What is -7*o(l) + 5*u(l)?
l**3 - 3*l**2
Suppose -5*r + 3*n - 31 = 0, 0 = r + n - 1 + 4. Let d(s) = 3*s**2 + 4. Let b(j) = -4*j**2 - 5. What is r*d(h) - 4*b(h)?
h**2
Let i(v) = -16*v - 6. Let c(q) = 5*q + 2. Suppose 0 = 37*g - 31*g - 12. Calculate g*i(o) + 7*c(o).
3*o + 2
Let d(t) = -23*t**3 + 3*t**2 - 17*t. Let n(k) = 8*k**3 - k**2 + 6*k. Let z(a) = a**2 + 4*a + 5. Let h be z(-6). Give h*n(s) + 6*d(s).
-2*s**3 + s**2
Let k(h) = -83*h + 2. Let p(l) = 125*l - 3. Give -8*k(n) - 5*p(n).
39*n - 1
Let b(u) = 2*u**3 + 5*u**2 + 3. Let g(m) = m**2 + 1. Let o(f) = 0*f - 14 - 7 - f**2 + 6 + 8*f. Let t be o(6). What is t*g(y) + b(y)?
2*y**3 + 2*y**2
Let j(v) = 3*v - 17. Let b(p) = -4*p + 18. Determine -5*b(d) - 6*j(d).
2*d + 12
Let b(o) = o**2 - 9. Let y(d) = -d**2 + 10. Calculate -2*b(m) - 3*y(m).
m**2 - 12
Let p(g) = -4*g**2 - 2*g. Let b(a) = a**2. Let v(i) = -i + 10. Let t be v(13). Determine t*b(l) - p(l).
l**2 + 2*l
Let p(n) = 7*n + 1. Let r(y) = 22*y + 4. Give -7*p(m) + 2*r(m).
-5*m + 1
Suppose -1 = y - 15. Let l(z) = z**3 - 3*z**2 + 3. Let p(c) = 7*c**2 + 0*c**3 - 4*c**3 + 5*c**2 - 14 + 2*c**2. Determine y*l(b) + 3*p(b).
2*b**3
Let b(l) = 4*l**2 - 5*l + 1. Let u(w) = -w**2 + w - 1. What is b(h) + 6*u(h)?
-2*h**2 + h - 5
Let s(k) = 3*k + 4 - 3*k + 3*k**2 + 3*k + k**3. Let n(r) = -r**3 - 5*r**2 - 5*r - 7. Let t = 12 - 15. Calculate t*n(i) - 5*s(i).
-2*i**3 + 1
Suppose 0 = 5*g - 3*g + 2*b - 40, -4*g = 3*b - 82. Let t(k) = 10*k**3 - 13*k**2 + 11*k + 11. Let y(s) = s**3 - s**2 + s + 1. What is g*y(c) - 2*t(c)?
2*c**3 + 4*c**2
Let h(s) = -s**3 + 6*s**2 + 3*s - 8. Let g(f) = -f**3 + f**2 - f. Let x(w) = 6*g(w) - h(w). Let l(i) = -i**3 - 2*i + 2. Calculate 9*l(j) - 2*x(j).
j**3 + 2
Let i be (-8)/44 + 72/33. Let w(n) = n**2 - 2*n + 2. Let o(d) = -3*d + 3. Suppose 2*q - 14 = 2*p, -3*p = 2*q + 3 - 2. Calculate i*o(f) + p*w(f).
-3*f**2
Let v(o) = o**3 + o**2 + 3*o + 6. Let t(i) = -2*i**3 - i**2 - 5*i - 13. What is -3*t(r) - 5*v(r)?
r**3 - 2*r**2 + 9
Let k(d) = 140*d - 5. Let q(l) = -70*l + 3. Determine 3*k(y) + 5*q(y).
70*y
Let i(k) = -6*k + 3*k**2 + 3*k**2 - 14 + 0*k. Let d(x) = 2*x - 1. Let o be d(-5). Let c(p) = -4*p + 5 + 2*p - 2*p**2 + 4*p. | {
"pile_set_name": "DM Mathematics"
} |
7*-279478
38288.486
98 times -0.5815
-56.987
Work out 26035866 * -2.
-52071732
Calculate -1675674*-7.08.
11863771.92
What is -308667 times 0.1141?
-35218.9047
Calculate -1*17931210.
-17931210
Product of 1060533 and -0.4.
-424213.2
Calculate -0.01*125850870.
-1258508.7
Multiply 7051399 and -5.
-35256995
Product of 0.078899 and 1924.
151.801676
Product of -5 and 35522892.
-177614460
-164277499 * -3
492832497
-23130885 times -1.2
27757062
Multiply 3444 and -80.4.
-276897.6
-0.096329791*0.4
-0.0385319164
Product of -1 and -1791.0852.
1791.0852
Calculate -116.2*-0.07396.
8.594152
What is 0.037 times -1.18997?
-0.04402889
What is 0.0601 times 7294.1?
438.37541
1.891115 times 3.1
5.8624565
-33*620968
-20491944
761335*-0.4
-304534
Calculate 2451*-36814.
-90231114
Multiply 29081.47 and 141.
4100487.27
98.0189*-0.3
-29.40567
Work out -134 * 258034.
-34576556
173123 times 0.374
64748.002
-136*15.4444
-2100.4384
-96611 * -121
11689931
Calculate -0.0512*-0.0703.
0.00359936
7.4 times 0.531913
3.9361562
Multiply 10073 and 20593.
207433289
916.85*-4473
-4101070.05
What is the product of -0.3593379 and 0.2?
-0.07186758
-1.665 times -27
44.955
-221 * 88.393
-19534.853
What is the product of 13 and -25208559?
-327711267
Product of 0.055482 and -0.969.
-0.053762058
0.4 * 37.770678
15.1082712
Work out 0.824 * -585745.
-482653.88
Multiply -1484 and -9591.
14233044
What is the product of -2 and 1066181?
-2132362
-13.389625 times 0.5
-6.6948125
What is the product of -0.6 and -4.066256?
2.4397536
Product of 1606.15 and -2.
-3212.3
What is -6009 times -0.71285?
4283.51565
Work out -2107 * 19170.
-40391190
Product of 0.11 and -3728306.
-410113.66
Product of -194.581 and -0.28.
54.48268
-51 * -1226.74
62563.74
What is 504.92 times 0.91?
459.4772
-0.2 * -5625059
1125011.8
-14324.638 times 0.06
-859.47828
-2.3 times -87640
201572
0.025*-2719.29
-67.98225
Product of -3685 and -168978.
622683930
-0.4650418*-1.48
0.688261864
What is the product of -0.07 and -5711841?
399828.87
-8284.873*-17
140842.841
-0.13 * -12.28133
1.5965729
Calculate 2*30419.027.
60838.054
Multiply -0.020958 and 78.
-1.634724
9477.1 times -1.985
-18812.0435
-12280 * -0.192
2357.76
687046703 * -1
-687046703
Work out 20 * -4.5153.
-90.306
-1.001373 times 1.98
-1.98271854
Multiply 7034.7 and 1.
7034.7
Product of -3960.4 and -0.19.
752.476
-0.2*2251.9221
-450.38442
Product of 6.368934 and -17.
-108.271878
-4 * 39750.44
-159001.76
Product of -0.0222141 and -1.77.
0.039318957
0.26979*925
249.55575
Calculate -2403.19*0.52.
-1249.6588
-4425147 * -2
8850294
0.4*-2815118
-1126047.2
1.813615372*2
3.627230744
What is the product of -14213047.34 and -1?
14213047.34
123067.18 times -2
-246134.36
Multiply 0.087 and 82599.
7186.113
What is -23.216 times 7.1?
-164.8336
-0.0546 times -17976
981.4896
-0.3 * -4390024
1317007.2
Work out 7.95396 * -1.
-7.95396
Calculate -5345*-96.4.
515258
-188 * -544813
102424844
-0.3 * 83409.31
-25022.793
Calculate 10364*-1802.4.
-18680073.6
-5 * 1.315582
-6.57791
Multiply -296 and 651092.
-192723232
Calculate -258481*-0.2068.
53453.8708
Product of -15384 and -146.37.
2251756.08
Product of 3992.798 and 0.5.
1996.399
What is the product of 0.11285 and -2414?
-272.4199
-1.47324 times 1972
-2905.22928
Calculate 494881.6*0.
0
Multiply -6.798 and -0.99534.
6.76632132
-2.184 * -21575
47119.8
Product of -33 and 9.155382.
-302.127606
What is -103724.22 times 0.1?
-10372.422
7085.2256*0.1
708.52256
-0.2*2.24246
-0.448492
Work out -0.173197 * -2.11.
0.36544567
-0.9*708.69307
-637.823763
0.156005 times 0.06
0.0093603
Work out -75421091 * 9.
-678789819
What is 2 times 66790900?
133581800
Calculate -123668*-0.6148.
76031.0864
Multiply 0 and -1214835.61.
0
Product of -2897068861 and 0.
0
2*-438709.6
-877419.2
Work out -0.5 * 11904895.
-5952447.5
825887020 * -0.2
-165177404
Multiply -243 and 51781.
-12582783
Calculate 0.2*134.80596.
26.961192
What is -122187 times -91?
11119017
-0.000878583 times 0.1
-0.0000878583
What is the product of -0.062 and -383296?
23764.352
Multiply 0.5347315 and -0.146.
-0.078070799
Product of 0 and 66354486.
0
Multiply 61563.1 and -0.05.
-3078.155
What is 0.05 times 5434.868?
271.7434
What is the product of 154.4037 and -3?
-463.2111
-118.979 times 23
-2736.517
Calculate -6727*69.49.
-467459.23
Product of 34.9314 and 0.242.
8.4533988
-0.872054 * 0.8
-0.6976432
0.6733*91.6
61.67428
3376324 * -1
-3376324
Product of 7031 and -3132.
-22021092
Multiply 17222 and 663.
11418186
Multiply 0.5 and 417.1889.
208.59445
18*176.9873
3185.7714
Product of -1492 and 6199.
-9248908
-7029.6 times 46.53
-327087.288
What is -0.3 times 8018868?
-2405660.4
-1066*3987
-4250142
What is -30151 times -820?
24723820
What is -4575456.6 times 0?
0
0.193 * -0.018206
-0.003513758
11 times -0.29984523
-3.29829753
Product of -0.0029884978 and -0.2.
0.00059769956
Multiply 218 and 7924.
1727432
What is the product of -35138 and -0.05024?
1765.33312
What is the product of 8818326 and 0.2?
1763665.2
133297 times 7
933079
What is the product of -10102314 and 1?
-10102314
Work out -0.2887926 * 149.
-43.0300974
What is the product of 0.83 and 2185702?
1814132.66
Calculate 47676.02*170.
8104923.4
-0.13 times 1961567
-255003.71
Multiply -82111 and -931.
76445341
Work out -2951588 * -5.
14757940
What is the product of 4047.657 and 0.5?
2023.8285
Multiply -5308 and 15.34.
-81424.72
157748*0.536
84552.928
0.6 times 59967613
35980567.8
339728082 times -0.4
-135891232.8
What is 0.5 times -0.031338238?
-0.015669119
What is the product of 195050 and 7.34?
1431667
1 times -3377044
-3377044
-1702485 * -0.06
102149.1
4235.9*-14128
-59844795.2
Product of -2.5 and 4299291.
-10748227.5
Product of 3675176 and -2.
-7350352
Product of 3519 and -881.
-3100239
What is 859601 times 226?
194269826
Calculate -63504.9*10.
-635049
Work out -2064 * 0.197388.
-407.408832
Product of -4141088 and 0.3.
-1242326.4
What is -5 times 11225.86?
-56129.3
-0.2 * -49.60998
9.921996
74 * -0.1984893
-14.6882082
What is the product of 279 and 1007733?
281157507
Multiply 0.046092 and 987.
45.492804
Product of -243 and -0.7588.
184.3884
What is 42074 times 3.7?
155673.8
Calculate -3.609*1735.96.
-6265.07964
-331.28951*-18
5963.21118
Multiply -9 and -199679.
1797111
Product of -39860 and -11.5.
458390
Multiply -143191900 and -0.1.
14319190
Work out -1.4 * -1470315.
2058441
Multiply -3021 and -75.2.
227179.2
Work out -0.045592 * 0.0826.
-0.0037658992
-76 times 75686
-5752136
-195.7 times 67386
-13187440.2
What is 8679 times 1291.5?
11208928.5
What is the product of 335609 and -0.1?
-33560.9
Calculate -2616*-98950.
258853200
Calculate -0.1*-6512133.
651213.3
3 times 7506527
22519581
9093 * 1025
9320325
Calculate -0.3*-2834937.3.
850481.19
8135509*-0.3
-2440652.7
Calculate 9*215403.6.
1938632.4
-0.49842*19.62
-9.7790004
-78454763*-4
313819052
What is 3974 times -174?
-691476
Work out 447227.2 * 4.
1788908.8
2 * -122561.007
-245122.014
What is the product of -74323672 and -2?
148647344
Calculate -0.0233*-41.2193.
0.96040969
Multiply -0.3 and -33.1968441.
9.95905323
What is -1.059784 times -21.04?
22.29785536
Calculate -1.1*245614.
-270175.4
Multiply -0.078 and 2308.
-180.024
0.1 times -907485
-90748.5
-1589406.3 * -2
3178812.6
Calculate -14476120*2.
-28952240
Multiply -5851850 and -1.
5851850
-12 times 128.8878
-1546.6536
Multiply -24625199 and -0.4.
9850079.6
Work out -1009740 * -0.025.
25243.5
Multiply 0.2 and 181454664.
36290932.8
What is the product of 264761 and -82?
-21710402
Work out -2.7344 * 0.2442.
-0.66774048
What is 25306556 times -3?
-75919668
1.582 times -1742
-2755.844
Work out -0.1 * -1694181.72.
169418.172
Product of -189.087 and -6.
1134.522
485664*0.048
23311.872
Product of -0.276538 and -459.
126.930942
-0.7124 * -6068
4322.8432
Product of 83287 and 48.4.
4031090.8
Calculate 0.68*1.34429.
0.9141172
-3 * 1.3050977
-3.9152931
Calculate -7.8*26.6315.
-207.7257
Multiply 93.02 and 3334.
310128.68
Calculate -235197*-38.6.
9078604.2
Multiply -4964.42 and 2.
-9928.84
1.63623066 times -4
-6.54492264
Product of -3303995 and -0.3.
991198.5
Work out -0.6 * 160316.8.
-96190.08
What is the product of -0.59592 and -0.15?
0.089388
Product of 3243.3 and 72.
233517.6
-0.4*143328.591
-57331.4364
What is the product of 102754 and 1?
102754
Calculate -4287080* | {
"pile_set_name": "DM Mathematics"
} |
te -124*d**3*o - d**2*o**2 - 4*d - 2033*o**2 with respect to d.
-372*d**2*o - 2*d*o**2 - 4
Find the second derivative of 326*x**5 + 206*x.
6520*x**3
Differentiate 26*c*m + c + d*m + 105*d with respect to m.
26*c + d
What is the second derivative of 11*g**5*u**2 + 51*g**5 - 352*g*u**2 + g*u wrt g?
220*g**3*u**2 + 1020*g**3
Find the third derivative of -366*g**4*i + g**3*i - g**2*i - 81*g*i - i wrt g.
-8784*g*i + 6*i
Differentiate 4*k*p**2*x + 305*k*x + 140*p**2*x + 2*p**2 - 2*p*x - 1 with respect to k.
4*p**2*x + 305*x
Find the third derivative of 99*c**2*w**3 + 2*c**2*w**2 - c**2 + 2*c*w**4 - 33*w**5 + 1475*w**2 + w wrt w.
594*c**2 + 48*c*w - 1980*w**2
Find the third derivative of 42*d**5*n - 8*d**3*n - d**3 - 7*d**2*n + 637*d*n wrt d.
2520*d**2*n - 48*n - 6
Find the second derivative of 82*o**2 - 156*o - 1.
164
Differentiate 14*c**3*d - 2*c**3*n - c**3 - 2*c*n - 2*d*n with respect to d.
14*c**3 - 2*n
What is the third derivative of 33*b**3 + 4*b**2 - 8*b wrt b?
198
What is the first derivative of -880*b + 593?
-880
Differentiate -15972*l + 6221 wrt l.
-15972
What is the third derivative of -4*c*g**3 + 2*c - 17*g**5 + 13*g**3 - g**2 - 1043 wrt g?
-24*c - 1020*g**2 + 78
What is the third derivative of 5*w**4*y**2 - 6*w**4*y - 2*w**3*y**3 - 2*w**2 + 32*w*y**3 - 2 wrt w?
120*w*y**2 - 144*w*y - 12*y**3
Differentiate 387*a**3*t - 673*a**3 wrt t.
387*a**3
What is the first derivative of 7*x*y**3*z + 28*x*y**2*z + x*y*z**2 + 17*y**3*z**2 + 4*y**3*z + 2*y*z**2 - 2 wrt x?
7*y**3*z + 28*y**2*z + y*z**2
What is the second derivative of 2*d**3*y**2 + 7*d**3 - 4*y**3 - 10*y wrt y?
4*d**3 - 24*y
Find the first derivative of 126*m**3*s**2 + 8*m*s**3 + 1191*s**3 - 2*s wrt m.
378*m**2*s**2 + 8*s**3
Find the third derivative of 2*p*y**3 + 344*p*y**2 - 2*p + 185*y**3 wrt y.
12*p + 1110
What is the third derivative of -75*z**3 - 126*z**2?
-450
Differentiate 5*d**2*x - 22*d**2 - 3*d*x**2 - 1102*x**2 wrt d.
10*d*x - 44*d - 3*x**2
What is the second derivative of 166*g*r**4 + 2*g*r**3 + 455*g*r wrt r?
1992*g*r**2 + 12*g*r
What is the second derivative of 3*g**4 + 23*g**3 - g + 148?
36*g**2 + 138*g
Differentiate -l**3*t + 2967*l**3 - 49*l*t**4 wrt t.
-l**3 - 196*l*t**3
What is the second derivative of -2*m**5 - 67*m**4*z**2 + 10*m*z**2 - m*z wrt m?
-40*m**3 - 804*m**2*z**2
Find the first derivative of -4725*d + 10408 wrt d.
-4725
What is the second derivative of -2*m**2*t**3 - 236*m**2*t**2 - 16*m**2 + 2*m*t + o*t**3 - 5*o wrt t?
-12*m**2*t - 472*m**2 + 6*o*t
Find the second derivative of -5*o**3 - 15*o**2 - 94*o + 2 wrt o.
-30*o - 30
What is the first derivative of -1699*c**2 + 4189 wrt c?
-3398*c
Differentiate -2*a*g**4 + 2490*a*g**2 + 699*a wrt g.
-8*a*g**3 + 4980*a*g
What is the second derivative of 1141*g**2*r**2 - 82*g**2*r - g*r - 4*r wrt r?
2282*g**2
Find the first derivative of -3*b*j**4 - 509*b*j**3 - 3095*b wrt j.
-12*b*j**3 - 1527*b*j**2
Find the third derivative of -1279*x**6 + 1051*x**2 + 1 wrt x.
-153480*x**3
Differentiate 2*a*q**3 + 2*a*q**2 + 167*a*q - 2030*a with respect to q.
6*a*q**2 + 4*a*q + 167*a
What is the derivative of -f*w**4 + 2*f - 343*m*w**2 + 1018*m + 3*w**4 wrt w?
-4*f*w**3 - 686*m*w + 12*w**3
What is the third derivative of -190*d**4*i**3 - 11*d**3*i**2*j - d**2*i**3*j + 73*d*i**3*j + d*i**2*j - 15*j wrt d?
-4560*d*i**3 - 66*i**2*j
What is the third derivative of 2*f**5 - 588*f**3 + 85*f**2 + 2 wrt f?
120*f**2 - 3528
Find the second derivative of -2*d**5*n**3 - 8*d**2*n**2 - 5*d*n + 2*n**3 + 5*n**2 wrt d.
-40*d**3*n**3 - 16*n**2
What is the second derivative of -71*a**2*t**2 + a**2*t*v**2 - 42*a**2*t - 6*a*t**2*v**2 + 3*a*t**2*v - t*v**2 + t wrt t?
-142*a**2 - 12*a*v**2 + 6*a*v
Differentiate 6*i**2*s**3 + 44*i**2*s - 103*i**2 + 1 wrt s.
18*i**2*s**2 + 44*i**2
What is the second derivative of -2*f**2*k**2 - 444*f**2*k*x**3 - f**2*k - 5*f*k**2*x**2 + 21*f*k - 2*f*x**3 wrt f?
-4*k**2 - 888*k*x**3 - 2*k
Find the second derivative of 2794*t**5 + 999*t wrt t.
55880*t**3
Find the first derivative of -15*l**3*t*u**2 - 19*l**3*t + l**3*u - l**3 - 2*l*t*u**2 - 62*l*t wrt u.
-30*l**3*t*u + l**3 - 4*l*t*u
What is the third derivative of -145*n**3 + 13*n**2 + 78?
-870
What is the derivative of -104*x**4 - 24*x**2 + 4524?
-416*x**3 - 48*x
What is the second derivative of -1749*g**2 + 18*g + 24 wrt g?
-3498
Find the third derivative of -8*y**4 - 141*y**3 - 2724*y**2 wrt y.
-192*y - 846
What is the second derivative of f**2*p**3 - 7*f**2*p**2 + 44*f**2 - 3*f*p**3 - f*p - 2*f wrt p?
6*f**2*p - 14*f**2 - 18*f*p
What is the third derivative of 3700*c**6 + c**4 - 20238*c**2?
444000*c**3 + 24*c
Find the third derivative of -5*b**3*d**3*r - 30*b**3*r - 7*b**2*d**3*r - b**2*d + 36*b*d**3 - 2*d**2*r wrt b.
-30*d**3*r - 180*r
Find the second derivative of -617*r**2*u**2 - r**2*u - 21*r*u - 2*u**2 - 2*u wrt u.
-1234*r**2 - 4
Find the first derivative of 36*d**3*l*v - 49*d**3 + 3*d**2*v + 3*d*l*v wrt l.
36*d**3*v + 3*d*v
What is the first derivative of -4*c*d**2 + 59*c*j - 2*d**2*j - 3*d**2 - 3 wrt j?
59*c - 2*d**2
Find the third derivative of c*f*g**3 - 31*c*g**3 - 3*c*g**2 - 2*f*g**2 + 3*f wrt g.
6*c*f - 186*c
Find the second derivative of 34*j*n**2*z - j*n**2 + 15*j*n*z - j*z**3 + 4*n**2*z**3 + n*z - 4*z wrt n.
68*j*z - 2*j + 8*z**3
What is the second derivative of -19*o**3 + 2*o**2 + 437*o - 2 wrt o?
-114*o + 4
Differentiate 858*q**3*t + 1290*t wrt q.
2574*q**2*t
What is the derivative of -22*h**2 - 4*h + 393 wrt h?
-44*h - 4
What is the second derivative of 286*o**3*t**2*z**2 + o**3*z + 4*o**2*t**2*z - o**2*z - 2*t**2*z**2 wrt z?
572*o**3*t**2 - 4*t**2
What is the second derivative of -4281*g**4 - 126*g + 5 wrt g?
-51372*g**2
Differentiate j**3*o**3 - 74*j**3*o + 2*j**3 - 155*j**2 with respect to o.
3*j**3*o**2 - 74*j**3
Find the first derivative of -18*j**3*p + 14*j**2*p**3 + 2*p**3 + 10 wrt j.
-54*j**2*p + 28*j*p**3
Find the third derivative of 1741*x**5 - 2*x**3 + 2132*x**2.
104460*x**2 - 12
What is the second derivative of -73*m**4 + 8*m - 8?
-876*m**2
Differentiate 838*t**4*y**2 + 4*t**4 - 81*y**2 - 2*y with respect to t.
3352*t**3*y**2 + 16*t**3
What is the derivative of -b**3*i*n + b**3*n**2*q - 112*b**3*n**2 - 5*b*i*n*q + b*q + 71*i*n**2*q wrt i?
-b**3*n - 5*b*n*q + 71*n**2*q
Find the second derivative of 6*d**4*h**3 - 8*d**3*h**3 - d*h**2 - 7*d + 2*h**3 wrt d.
72*d**2*h**3 - 48*d*h**3
What is the derivative of 382*u**4 + 79?
1528*u**3
Find the third derivative of -3060*i**3 + 7*i**2 + 290*i.
-18360
Find the third derivative of 7*k**6 + 3*k**3*t - 2*k**3 + k**2*t - k*t + 21*t wrt k.
840*k**3 + 18*t - 12
Find the third derivative of 170*f**4 - 6*f**3 + 4189*f**2.
4080*f - 36
Differentiate -2*f**2*u + 738*f**2 + 185*u with respect to u.
-2*f**2 + 185
What is the third derivative of -333*h**3*k**2 - 185*h**2*k + 3*h*k**2 wrt h?
-1998*k**2
What is the third derivative of -200*i**2*j**4 + 2*i**2*j**3 - 2*i**2*j**2 - 50*i**2 wrt j?
-4800*i**2*j + 12*i**2
What is the second derivative of 159*q**4*u**2 + 2*q**3*u**2 - q**2 + 127*q*u**2 - 2*u**2 wrt q?
1908*q**2*u**2 + 12*q*u**2 - 2
Find the second derivative of 95*c**2*n**2 - 5*c*n**2 + 4*c*n + c wrt c.
190*n**2
Find the third derivative of 8404*r**3 + 5*r**2 + 279.
50424
What is the derivative of -175*l**3*q + l**3 + l*q + 428*q wrt l?
-525*l**2*q + 3*l**2 + q
What is the first derivative of -356*h**2 - 131 wrt h?
-712*h
Find the third derivative of f*m**4 - 54*f*m**3 - f*m**2 + 134*f + m**4 + 2*m**2 wrt m.
24*f*m - 324*f + 24*m
Find the third derivative of h**3*r**3 + 620*h**3 + 100*h**2*r**3 - 5*h**2*r**2 wrt h.
6*r**3 + 3720
What is the third derivative of 19*h**6*v**2 + 12*h**6 - 4*h**2*v**2 + v wrt h?
2280*h**3*v**2 + 1440*h**3
Find the second derivative of -234*w**5 + 439*w - 1 wrt w.
-4680*w**3
What is the second derivative of 5*u**3 - 35*u**2 + 2*u - 6 wrt u?
30*u - 70
What is the derivative of -43*k*q**3*x + k*q**3 - 13*q**3 - 3*q**2*x wrt k?
-43*q**3*x + q**3
Find the second derivative of -334*j*r**4 + 3*j + 68*r wrt r.
-4008*j*r**2
What is the second derivative of 91*a**2*h - 4*a**2 - 11*a*h + 11*a + 9*h wrt a?
182*h - 8
What is the third derivative of 945*o**3*v**2 + 21*o**2*v - 3*o*v - 3*v**2 wrt o?
5670*v**2
What is the third derivative of -1083*s**3 + 620*s**2?
-6498
Find the second de | {
"pile_set_name": "DM Mathematics"
} |
- 2 - d*r + c. Calculate w(5).
13
Let f(a) = -a**3 - 4*a**2 - 2. Let u be (30/54*-6)/(4/(-18)). Suppose -5*d + 4*o = 20, 2*d + u = 2*o + 7. Calculate f(d).
-2
Let n = -6670 - -6677. Let k(r) = 14*r - 8. Let x(f) = 5*f - 3. Let y(t) = 6*k(t) - 17*x(t). Determine y(n).
-4
Let o = -14 + 16. Let i(j) = j**3 - 1. Let w(q) = -6*q**3 + 2*q**2 - q + 5. Let p(n) = -5*i(n) - w(n). Calculate p(o).
2
Let i(r) = r**3 - 2*r**2 - 2*r - 3. Let p be (20/6)/((-2)/(-3)). Suppose 8*a = p*a + 6. Let y be (-1)/((-2)/(a + 4)). Give i(y).
0
Let i = -89 - -81. Let p(v) = 20*v + 11. Let d(u) = 7*u + 4. Let c(g) = -17*d(g) + 6*p(g). Let j(n) = 3*n - 5. Let y(z) = i*c(z) + 3*j(z). Give y(4).
5
Suppose 4*b - 25 = -5*p, 3*b + 2*p - 27 = -2*b. Let y(g) = -g**3 + 5*g**2 + g - 3. Give y(b).
2
Suppose -r - 8 = -3*r. Let d(y) = -y. Let o(b) = -3*b + 2. Let k(m) = r*d(m) - o(m). What is k(0)?
-2
Suppose 28 = -5*x - 47. Let d(k) = k**2 + 15*k + 4. Let z be d(x). Let m(u) = -1 - 7*u**2 + 6*u**3 - 7*u**3 - z*u - 2*u. Give m(-6).
-1
Suppose -2*j - 4*r = 0, 6*j = 4*j - r + 9. Let x(g) = -4 + 2 + 0 - g**2 + 0*g**2 + 0*g**2 + 8*g. Calculate x(j).
10
Let v(i) = i**3 + 7*i**2 - 7*i - 6. Let l(r) = -3*r**3 - 22*r**2 + 21*r + 17. Let a(p) = 2*l(p) + 7*v(p). Suppose -2*u - 15 = -3. Calculate a(u).
-2
Let s be -20*((-4)/(-2) + (-12)/5). Suppose -6*p = -10*p - 2*x - 4, 4*p - 4*x = s. Let i(b) = -b**2 + 8. Calculate i(p).
8
Let v(w) be the first derivative of -7 + 0*w**2 - 8/3*w**3 - w. Determine v(-1).
-9
Let r(o) = -5*o - 14. Let y(h) = h**2 - 3*h + 1. Let m(d) = r(d) - y(d). What is m(-6)?
-39
Suppose 5*s + 18 = d, -5*s - 14 = d - 2. Let x(c) = -c**2 + 10*c**3 - 2*c - 6*c**3 - 3*c**d. What is x(2)?
0
Suppose 13*m - 9*m + 5*f = -21, 3*f = -5*m - 10. Let n(d) be the first derivative of m - 2*d + 3/2*d**2. Calculate n(-3).
-11
Let b be 1/(-4) - 1845/492. Let h(w) = w**3 + 5*w**2 + w - 5. Give h(b).
7
Let r(o) be the third derivative of -o**6/120 - o**5/60 + o**3/3 - 36*o**2. Let a = -5 + 8. Suppose 2*v = -a*v. Give r(v).
2
Suppose a - 6 = 2*r - 4, 4*a = 3*r + 13. Let q = 2 + r. Let u(f) = q + 3 - 10 - f. Give u(0).
-4
Let t(k) = -2*k**2 - 3*k - 1. Let v(i) = 7*i**2 + 27*i + 7. Let n(h) = 4*t(h) + v(h). Give n(14).
17
Let j(l) = -l**2 - l + 4. Let b = 9 + -5. Suppose -s + b*i + 5 = 0, -5*i + i = 0. Suppose s*k = -2*h + 1, 3*h + 2 = k + 12. Give j(h).
-8
Let w(h) = -h**3 + 7*h**2 - 4*h - 1. Let a = -105 - -102. Let i be (-8)/(-10) + 41/5 + a. Determine w(i).
11
Let p(m) = m + 2. Suppose 0 = 4*b - 4*l + 96 - 64, 2*b - 3*l = -17. Determine p(b).
-5
Let u be 3/2 - 14/(-4). Let n(w) = w - 6 + 6 - 6. Determine n(u).
-1
Suppose -9*v + 7*v + 3*u = -25, -5*v + 5*u = -50. Let o(p) = p**2 - 6*p - 2. Determine o(v).
-7
Let q be (-3)/21 + 88/28. Let i(t) = 5 - 29*t**2 - 25*t**2 + 60*t**2 + 11*t - 4*t - t**q. Calculate i(7).
5
Let n = -3 + 2. Let l be (0 - n)*(2 + -6). Let k(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/2 - 3*y**2/2 - 2*y. Calculate k(l).
1
Let j(n) = 2*n**2 + 3*n - 1. Let a(x) = x**2 - x - 1. Suppose -14 = -3*k + 4*k. Let h be (-48)/k + (-12)/28. Let v(w) = h*a(w) - j(w). What is v(5)?
-7
Let l(z) be the third derivative of z**5/60 - z**4/8 + z**3/3 - 144*z**2. Let f be 4/6 + (-32)/(-6). Give l(f).
20
Let m(c) = -2*c + 2. Let b be -3 + 8 - 27 - (0 - 0). Let h(i) = -9*i + 2. Let a be h(3). Let f = b - a. Give m(f).
-4
Let c(l) = 21*l**2 - 7*l + 4. Let s(z) = -22*z**2 + 8*z - 5. Let a(k) = 6*c(k) + 5*s(k). Let j be (9 + (4 - 14))/1. Calculate a(j).
17
Let x(s) = -s**3 + 7*s**2 - 8*s + 4. Suppose 5*g - 3 = 2. Let n be 6/(g/3*3). Determine x(n).
-8
Let v(g) = -g**3 - 13*g**2 - 14*g - 29. Suppose 773 = -102*w - 451. Determine v(w).
-5
Let q(l) be the second derivative of -10*l + 1/20*l**5 + 0*l**4 - 3/2*l**2 + 0 - 2/3*l**3. Determine q(-2).
-3
Let y(w) = -3*w - 3. Suppose 9 = -3*s, 19*s - 15*s = -2*h - 22. Calculate y(h).
12
Let g(w) = w**3 + 2*w**2 + 2*w - 1. Suppose 4*x + 6*s = 2*s, -3*s = -5*x - 16. What is g(x)?
-5
Let n(q) = -6*q**3 - 4*q**2 - 4*q - 8. Let y(p) = -5*p**3 - 4*p**2 - 4*p - 7. Let l(z) = 4*n(z) - 5*y(z). Calculate l(-2).
3
Suppose 5*j = 3*z - 428 + 323, -j = 3*z - 87. Let m(d) = -2*d**2 + 60*d + 6. Determine m(z).
6
Let k be -3*(325/(-15))/5. Let f(q) = -2*q**2 - 5 + k - 13 + 3*q + 3*q**2. Determine f(-4).
-1
Let w(p) = -2*p - 1. Let d be -2 - (3 + -1 + -5). Let i(u) = -23*u - 5. Let a(j) = d*i(j) - 6*w(j). What is a(3)?
-32
Let m(w) = 3*w**2 - 2. Let q(j) = -j - 13. Let u be q(-15). Suppose 4*o = b - 2*b - 13, u*b = 5*o. What is m(o)?
10
Let b(p) be the third derivative of p**6/120 - 3*p**5/20 + 7*p**4/24 + 5*p**3/6 - p**2. Suppose 0 = 45*o - 15*o - 240. Give b(o).
-3
Suppose 0 = -0*g + 2*g - 2. Let c(z) = 2*z + 14. Let q be c(-4). Let k(i) = -q*i - 1 + i**3 + 2*i**3 + 7*i. Calculate k(g).
3
Let r be -1 + 3 - (2 - 2). Suppose 5*j = 4*x + 9, -r*x - 3*j = 3*x + 39. Let d(u) = -u**3 - 7*u**2 - 5*u - 2. Determine d(x).
-8
Let u(k) = -5*k + 4. Suppose 419*v = 415*v + 32. Give u(v).
-36
Suppose -30 = -39*o + 24*o. Let a(z) = 6*z - 6. Let b(l) = -l + 1. Let d(u) = -a(u) - 3*b(u). Give d(o).
-3
Let v(j) = 54*j**2 - 9*j - 12. Let z(k) = 19*k**2 - 3*k - 4. Let w(g) = -6*v(g) + 17*z(g). Calculate w(4).
0
Suppose 2*p = 1 + 5. Suppose 5*r + 3*i - 15 = -2*i, 0 = -2*r - 5*i + 9. Let x(z) = -p*z**r + z**3 + z**2 - 6*z**2 - 9 + 3*z + 5*z. Give x(7).
-2
Let m(y) = y**2 - 4*y - 3. Let r be m(-2). Let n(v) = -13*v + 11. Let g(p) = -16*p + 13. Let c(l) = 4*g(l) - 5*n(l). Calculate c(r).
6
Let v be 30/(-42) + 3 - (-2)/(-7). Let u(w) = -6*w**2 - 2*w + 3. What is u(v)?
-25
Suppose -g - g = 0. Let h(f) = 2*f - f - 2*f + f**2 - f**3 + g*f**2. Let w(q) = 3*q**3 - 5*q**2 + 5*q - 4. Let r(p) = 4*h(p) + w(p). What is r(0)?
-4
Let h(a) = -a**3 - 7*a**2 - 6*a - 6. Suppose -3*t - z = -6*t - 3, -t + 3 = z. Suppose -1 = -4*k + 5*u, 4*k + t*u + u = -29. Give h(k).
-6
Suppose 3*o = -4*o + 35. Suppose 2*w - 3 = -o*j - 16, 5*w = -j - 21. Let u(n) = -5*n - 1. Calculate u(j).
4
Suppose 27*v + 4 = 28*v. Let m(j) be the third derivative of 0*j - 5/24*j**v - 1/60*j**5 + 4*j**2 + 0 - 2/3*j**3. Determine m(-4).
0
Let c = -7 + 9. Let t(i) = -4*i**2 + 6*i - 2 + c*i**2 - 3*i - i**3. Determine t(2).
-12
Suppose 0 = -5*h - 0*h - 4*j - 3, 2*h = 3*j + 8. Let r(w) = 10*w**2. Give r(h).
10
Let d(o) = -o**3 + o**2 + o - 2. Suppose -5*j = -2*j - 3. Let y be d(j). Let c(p) = -7*p**3 - 1. Calculate c(y).
6
Let r(o) = 3*o + 1. Let i(z) = 3*z + 0*z - 6 + 6. Let w(s) = 3*i(s) - 2*r(s). Calculate w(-4).
-14
Let d = 62 + -34. Suppose 4*x + d = 8. Let b(i) = -i**2 - 4*i - 6. Determine b(x).
-11
Let w(v) be the first derivative of -v**3/3 - 5*v**2/2 - 2*v + 257. Give w(-3).
4
Let f(o) = 2*o**2 - 8*o + 11. Let z = 2921 - 2917. What is f(z)?
11
Let c(g) = g**2 - 7*g - 8. Let j be 7/21 + 100/6. Suppose -z - 3*a = -j, 5*a - 2*a + 31 = 5*z. Give c(z).
0
Suppose v + 2*p + 7 = -2*v, -10 = 2*p. Let z(g) = -4*g + v - 3 + 6. Let l = 4 + -1. What is z(l)?
-8
Let v(s) be the second derivative of s**5/20 - 2*s**4/3 - s**3/6 - 4*s**2 + 3*s. Let q(n) = -n**2 - n. Let j(y) = 2*q(y) - v(y). Determine j(6).
2
Let y(r) be the third derivative of -r**4/12 - 25*r**3/6 + 53*r**2. What is y(-11)?
-3
Let u(p) = 2*p**2 + 10*p + 13. Let o(t) = -t**2 - 5*t - 7. Let h = 3 - 0. Let j(i) = h*u(i) + 5*o(i). Let a(r) = 26*r - 57. Let q be a(2). Determine j(q).
4
Let q(b) be the third derivative of b**6/120 - b**5/30 - 5*b**4/24 + b**3/2 + 69*b**2 + 2*b. Give q(3).
-3
Let k(w) = 2*w + 3. Suppose 2*y - 124 = 3*d, -d - 3*y = 2*y + 13. Let f = 32 + d. Give k(f).
-9
Let b(y) be the second derivative of y**4/12 + 4*y**3/3 + 4*y**2 + y. Let f(u) = 2*u**3 + 11*u**2 - 36*u + 26. Let h be f(-8). Calculate b(h).
-4
Let u(y) = 8 + 77*y**2 + y**3 - 26*y + 15*y - 82*y**2. Calculate u(7).
29
Let z be (4/10)/(2/(-20)). Let c(w) = 6*w - 124. Let r(u) = -4*u + 88. Let g(q) = -5*c(q) - 7*r(q). What is g(z)?
12
Let l(q) = -3*q - 8. Let z(t) = -t**2 - t + 6. Let d be z(2). Give l(d).
-8
Let z(h) = h + 6. Let u(b) = -b**2 + 8*b. Suppose 0 = 5*r - 0*r + 40. Let v(o) = -o. Let a be v(r). Let m be u(a). What is z(m)?
6
Let y(v) = v**2 - v - 1. Let m be y(0). Let s(c) = -1. Let o(a) = -2*a - 2. Suppose 4 = -47*u + 46*u. Let g(b) = m*o(b) + u*s(b). Give g(-4).
-2
Let j(m) = -m**3 + | {
"pile_set_name": "DM Mathematics"
} |
ller: -0.009 or 330669?
-0.009
Is -11003 bigger than -10825?
False
Which is smaller: -1033/185 or -5/3?
-1033/185
Which is greater: 208/7 or -2287009?
208/7
Is 41746713 at least 292226990/7?
True
Which is greater: 0 or 4/13270501?
4/13270501
Which is smaller: 1754838/13 or 134988?
1754838/13
Is 0 not equal to -12/239259451?
True
Does 5 = 72644091?
False
Which is smaller: 0.077314 or 79/19?
0.077314
Is 4/443 not equal to 8/13607?
True
Which is greater: -0.0589 or 156/25?
156/25
Which is greater: -83206 or 85?
85
Which is greater: 3/4 or 464213?
464213
Are -428 and -216417/505 unequal?
True
Which is bigger: 3 or 4397773?
4397773
Is 25/985209 smaller than 1?
True
Do 802.2 and 0.01302 have different values?
True
Is -5/424 at least -1523?
True
Which is smaller: -1/692416082 or 1?
-1/692416082
Which is greater: -46215/233 or -3?
-3
Is 2 > 50698092?
False
Which is bigger: -24008 or -2136740/89?
-24008
Is -12 <= -58/1417?
True
Which is greater: -45203071 or -45203070?
-45203070
Which is smaller: 24375/2674 or 8?
8
Are -5893200 and -1 nonequal?
True
Is 826 at least as big as -65865?
True
Is 582315 at most as big as -2/43?
False
Is 3527 not equal to 11313?
True
Is 51741391 greater than or equal to 51741392?
False
Is 3320 equal to 6586?
False
Which is greater: -19418 or -368938/19?
-368938/19
Is 2798151.1 at least as big as 0.1?
True
Is 73463120 greater than 73463118?
True
Which is smaller: 5/3 or 638744?
5/3
Which is greater: -6796743 or -6796748?
-6796743
Which is greater: 15.6617712 or 0?
15.6617712
Which is greater: -140/29 or 7754?
7754
Is 515/1984133 bigger than 1?
False
Which is smaller: 1 or -2/7560627?
-2/7560627
Is 26272 at most 38981?
True
Is 1406030 at least as big as 8436187/6?
False
Which is smaller: -1 or 8/2165647?
-1
Which is smaller: -17799509 or -2/21?
-17799509
Which is smaller: -39437/616 or -65?
-65
Is -43643452 > -43643459?
True
Which is smaller: 886536 or 19503783/22?
19503783/22
Is 23658375/8 at least 2957298?
False
Which is greater: 1 or 1/206087?
1
Which is smaller: 116115/1474 or 79?
116115/1474
Which is smaller: 45698 or 45740?
45698
Which is greater: 0 or 1443/359558?
1443/359558
Do -31674910 and -31674900 have different values?
True
Which is smaller: 15732876 or -1/4?
-1/4
Is 0.038 bigger than 173/3740?
False
Are -434103 and -434106 equal?
False
Which is smaller: 900328860 or 900328861?
900328860
Which is greater: 271/4584418 or -1?
271/4584418
Is 2637449 > -0.8?
True
Which is smaller: 1081769 or 28?
28
Which is bigger: 1 or -3/1180696403?
1
Which is bigger: -429297733 or -858595465/2?
-858595465/2
Which is smaller: -1008677959 or -1008677958?
-1008677959
Which is smaller: 0 or -9003/111215?
-9003/111215
Which is bigger: -84122 or -84094?
-84094
Is 10458472 < 10458471?
False
Is 0 != -141/27541313?
True
Which is smaller: -2022/13667 or -1?
-1
Is -5/1750222 at most as big as 0?
True
Is 892062 bigger than 892086?
False
Are 10913 and -36353 non-equal?
True
Which is smaller: -1 or -1/393688469?
-1
Is 20609623/4 not equal to 5152407?
True
Is -1126607/9 > -125179?
True
Is -15255/731 <= -21?
False
Which is smaller: 16652541 or 83262706/5?
16652541
Which is greater: -4479 or -112004/25?
-4479
Which is bigger: -687 or 682907?
682907
Is -568698 less than -5686977/10?
True
Do -480/1033 and 44 have different values?
True
Which is smaller: -1625310/13 or -125025?
-125025
Which is bigger: -1.4525 or 24358?
24358
Is -317 at most -279895/881?
False
Which is smaller: -0.2 or -0.3129227?
-0.3129227
Is 35934 greater than or equal to 38672?
False
Which is bigger: 11 or -1453.5?
11
Is 1590046 <= -229?
False
Which is smaller: 86618486 or 86618487?
86618486
Is 636033 greater than or equal to 636034?
False
Are -223 and 5.1398 non-equal?
True
Which is bigger: -23252 or -23238?
-23238
Which is smaller: -3112424/33 or -94316?
-94316
Is -69939 < -69609?
True
Is -571574 less than 2/17?
True
Which is smaller: -138621 or -138587?
-138621
Which is greater: -47729312 or 0?
0
Which is bigger: 144098 or 461?
144098
Is -96066 smaller than -102615?
False
Which is bigger: -349800045 or -349800046?
-349800045
Which is bigger: 168305 or 168158?
168305
Are 786 and 3001 equal?
False
Is 2759615 greater than or equal to 2759617?
False
Which is smaller: 0 or -16320/72793?
-16320/72793
Which is bigger: 2685036 or -43?
2685036
Is -1 at least as big as 2/13182735?
False
Which is bigger: -0.6523 or 2.068?
2.068
Do 2382681 and 2382720 have the same value?
False
Which is greater: 9286998 or 7?
9286998
Which is greater: -8 or -9.0440566?
-8
Which is smaller: -79046 or -0.886?
-79046
Which is greater: -25770552 or -25770515?
-25770515
Is -214807048 less than -214807050?
False
Is -8376026 at least as big as -259656800/31?
False
Which is smaller: 98 or -5998.2?
-5998.2
Is 7748278 at least 7748277?
True
Which is greater: 1 or -5/947912?
1
Is -1/19776909 equal to 1?
False
Does 420757 = 420727?
False
Which is greater: -188318893 or -376637783/2?
-376637783/2
Do 1 and 4/6922777 have different values?
True
Is 1/264970707 at most as big as 0?
False
Which is smaller: 3602/69573 or 1?
3602/69573
Which is smaller: -1248435/68 or 1?
-1248435/68
Is -1.4 smaller than -4465?
False
Which is smaller: -347285655/2 or -173642827?
-347285655/2
Which is smaller: 542152/41 or 13222?
13222
Is -1 < -4/33896169?
True
Is 810838 greater than 32?
True
Which is greater: -44278/16213 or -3?
-44278/16213
Which is greater: 25566549 or 102266201/4?
102266201/4
Which is smaller: -9 or 500/74083?
-9
Does -32183 = -31392?
False
Is -67673 greater than or equal to -69368?
True
Is 1 not equal to -48/15838379?
True
Is 934424 != 934267?
True
Is 1 greater than -2/1215499?
True
Which is smaller: 11.39 or -44846?
-44846
Is 359390 smaller than 359340?
False
Is -6745314 > -6745303?
False
Does 2135 = -224967?
False
Which is bigger: -394 or -11/1855?
-11/1855
Which is bigger: 19539 or 6639?
19539
Are -0.8 and 12466135 unequal?
True
Which is smaller: 2/3 or -215322/19?
-215322/19
Do -0.1 and 1/178517 have the same value?
False
Which is greater: 0 or -2/168038713?
0
Is -1 bigger than -2/282447009?
False
Which is greater: 61807 or 2039612/33?
61807
Which is bigger: -5 or -9386/2159?
-9386/2159
Is 34601337 >= -0.1?
True
Which is smaller: 0.2 or 0.43383596?
0.2
Is -2/49177 bigger than 0.06?
False
Is 52200201 at least 1/45?
True
Which is smaller: -38853/17 or 7/3?
-38853/17
Is -1 at least -2004/8161?
False
Is 4190709 <= 4190710?
True
Which is smaller: 4351868 or 30463074/7?
30463074/7
Is 411 less than -1121?
False
Is -961544 at most as big as -961556?
False
Which is smaller: 64738/37351 or 1?
1
Is 0.8 greater than -189039?
True
Is 3/10 <= -127345492?
False
Is -214822 > -215264?
True
Is -273411116 at most as big as -273411116?
True
Is 112 > 131854?
False
Which is smaller: 10670 or 10863?
10670
Is 2697.3 less than 55?
False
Is 59291833/2 at most 29645917?
True
Which is smaller: 5/539827533 or -1?
-1
Is -2497336 <= -2497332?
True
Which is smaller: 0 or -3/36475081?
-3/36475081
Which is greater: -25462 or -3513653/138?
-3513653/138
Which is smaller: -3363/10 or 83?
-3363/10
Which is greater: -396 or 33385?
33385
Which is smaller: 84 or -1/2114045?
-1/2114045
Which is smaller: -335920 or 5.59?
-335920
Which is bigger: 715819/220 or 3255?
3255
Which is bigger: -0.9 or -4/18479655?
-4/18479655
Which is bigger: -318020 or -205?
-205
Which is smaller: 10171 or -9630?
-9630
Which is smaller: -21019 or -21079?
-21079
Is 2.2 less than 911528.7?
True
Is 0 bigger than 1/347291673?
False
Which is smaller: 10.8 or -113.73?
-113.73
Is -77844 < 24?
True
Is 4227793/427 < 9900?
False
Is 520564 smaller than 518630?
False
Is -12968 at least -14270?
True
Is 1 bigger than -4/62397019?
True
Which is smaller: 108 or -15934/5?
-15934/5
Which is bigger: -1 or 52/31782159?
52/31782159
Which is greater: 5.9822 or -31/10?
5.9822
Which is smaller: -43370/96117 or 0?
-43370/96117
Which is bigger: -140195 or -139879?
-139879
Which is smaller: -134555 or -134593?
-134593
Does -0.0019192 = 0.0594?
False
Which is greater: 0 or -1107/40208?
0
Is -24269679 smaller than -24269678?
True
Do -12801 and 405 have the same value?
False
Which is smaller: -1 or 4591/83424?
-1
Is -81192568 less than -81192569?
False
Which is smaller: -9727 or -1870?
-9727
Is -10596506 bigg | {
"pile_set_name": "DM Mathematics"
} |
4) to base 16.
-851
What is -10010 (base 5) in base 15?
-2c0
24d (base 15) to base 12
377
-901 (base 12) to base 10
-1297
Convert -801a (base 11) to base 2.
-10100110101101
8305 (base 14) to base 12
11069
Convert 1321 (base 6) to base 11.
287
63aa (base 12) to base 6
122334
101100001111110 (base 2) to base 8
54176
Convert 34a5 (base 12) to base 7.
23105
What is 14873 (base 10) in base 12?
8735
Convert 10000001 (base 3) to base 11.
170a
1220122 (base 3) to base 14
718
-1847 (base 10) to base 4
-130313
-382 (base 9) to base 6
-1245
What is -103042 (base 6) in base 3?
-102120222
324 (base 14) to base 3
211222
4bf (base 16) to base 2
10010111111
Convert -56433 (base 9) to base 10.
-37533
Convert 15d7 (base 14) to base 7.
14260
What is 171 (base 15) in base 13?
1c6
202111 (base 3) to base 16
229
Convert 102212220 (base 3) to base 16.
21d8
-21001102 (base 3) to base 11
-3954
-24667 (base 9) to base 15
-4daa
Convert -1555 (base 6) to base 16.
-1af
Convert -106336 (base 7) to base 8.
-45137
-35e (base 15) to base 2
-1011111100
What is 121114 (base 7) in base 13?
a033
-751 (base 13) to base 8
-2341
What is 4340 (base 9) in base 15?
e30
1035 (base 7) to base 12
269
What is 42378 (base 9) in base 2?
110110101110000
What is -8f5 (base 16) in base 8?
-4365
Convert 20377 (base 12) to base 8.
122013
Convert 142112 (base 5) to base 8.
13423
Convert -1241 (base 9) to base 15.
-41d
What is 21763 (base 8) in base 2?
10001111110011
What is -22003 (base 6) in base 10?
-3027
What is -121143 (base 5) in base 12?
-2770
Convert 6857 (base 13) to base 9.
22028
Convert -322 (base 7) to base 9.
-201
What is 100111000101 (base 2) in base 15?
b1b
Convert -2ca (base 16) to base 11.
-59a
Convert -8b2 (base 14) to base 7.
-5012
Convert 461 (base 13) to base 16.
2f3
Convert 17103 (base 8) to base 13.
36ac
-103312 (base 6) to base 4
-2011130
185 (base 11) to base 14
114
-244 (base 12) to base 11
-28a
Convert -5535 (base 6) to base 3.
-1202112
-133372 (base 8) to base 6
-1000510
Convert 25462 (base 9) to base 6.
211215
What is 122223 (base 4) in base 13?
a14
What is -344660 (base 7) in base 5?
-3433413
110443 (base 6) to base 2
10010000011011
-10540 (base 8) to base 4
-1011200
-2000011022 (base 3) to base 12
-1aa22
Convert -2a98 (base 13) to base 4.
-1201001
What is 1013 (base 6) in base 2?
11100001
What is -264a (base 12) in base 3?
-20000011
Convert 4c1 (base 15) to base 14.
573
Convert -4412 (base 12) to base 15.
-2352
-10100100001010 (base 2) to base 14
-3b86
2c0 (base 15) to base 12
446
Convert 104244 (base 6) to base 8.
21044
-11182 (base 9) to base 15
-2315
Convert 100110010 (base 2) to base 4.
10302
74d (base 15) to base 16
670
What is 54c (base 13) in base 12?
639
What is 110110111000 (base 2) in base 8?
6670
What is -10000001110111 (base 2) in base 3?
-102101211
3404 (base 5) to base 16
1df
Convert 5212 (base 7) to base 11.
1407
Convert 12687 (base 9) to base 2.
10000110001000
Convert 1256 (base 10) to base 5.
20011
What is 660 (base 7) in base 15?
176
What is 10631 (base 13) in base 9?
44555
Convert 2124a (base 11) to base 10.
30909
What is 364230 (base 7) in base 6?
1231010
What is -1044032 (base 5) in base 10?
-18642
What is -13428 (base 10) in base 6?
-142100
Convert 2320 (base 6) to base 9.
673
Convert -2133 (base 13) to base 2.
-1000111111101
110100010100 (base 2) to base 16
d14
Convert 45 (base 11) to base 9.
54
What is -45225 (base 7) in base 16?
-2cac
Convert 1034214 (base 5) to base 11.
12628
What is -113305 (base 7) in base 5?
-1123024
What is -540 (base 12) in base 3?
-1001110
3012222 (base 5) to base 14
135d2
What is 13124 (base 7) in base 5?
102442
49b (base 14) to base 13
55b
Convert -12231 (base 10) to base 4.
-2333013
Convert -677 (base 15) to base 16.
-5b6
What is -6446 (base 15) in base 16?
-52e0
ab83 (base 15) to base 10
36348
What is -207 (base 11) in base 9?
-306
What is 1099 (base 13) in base 8?
4423
Convert -6605 (base 8) to base 2.
-110110000101
-116 (base 11) to base 10
-138
What is 110110110010001 (base 2) in base 9?
42425
-335556 (base 7) to base 3
-10000210100
What is -6b97 (base 14) in base 12?
-aa29
-77032 (base 9) to base 13
-1a318
Convert -3324 (base 9) to base 15.
-ad7
Convert 827 (base 12) to base 10.
1183
Convert -2401 (base 6) to base 15.
-287
-10046 (base 11) to base 8
-34543
-1e7b (base 15) to base 13
-303b
What is 41021 (base 6) in base 14?
1d89
-10231 (base 5) to base 11
-579
What is 100010000011 (base 2) in base 8?
4203
What is -35183 (base 9) in base 12?
-11710
-245f (base 16) to base 13
-4313
What is 1020010 (base 3) in base 5?
12034
Convert ca8 (base 15) to base 4.
230222
-201120 (base 3) to base 4
-20100
2b0 (base 13) to base 5
3411
Convert 3102 (base 9) to base 4.
203132
What is 227b (base 15) in base 14?
2948
206420 (base 7) to base 6
434042
What is 10212002 (base 3) in base 14?
104a
-706d (base 14) to base 11
-13560
What is 506 (base 10) in base 16?
1fa
What is -340 (base 14) in base 4?
-22010
What is -107336 (base 8) in base 2?
-1000111011011110
Convert 443 (base 9) to base 7.
1026
2088 (base 9) to base 12
a82
What is -2d82 (base 16) in base 8?
-26602
Convert 17642 (base 10) to base 2.
100010011101010
201202211 (base 3) to base 10
14413
Convert -362143 (base 7) to base 12.
-31b61
Convert 2012 (base 6) to base 13.
27b
What is 4278 (base 10) in base 16?
10b6
What is 1320 (base 10) in base 12?
920
-400221 (base 5) to base 8
-30421
Convert 11101000011000 (base 2) to base 11.
101a0
What is 110325 (base 7) in base 5?
1104444
Convert -30050 (base 6) to base 9.
-5333
What is 28d2 (base 16) in base 8?
24322
What is -10001100110 (base 2) in base 16?
-466
Convert -12201 (base 5) to base 8.
-1636
3951 (base 13) to base 2
1111111110010
What is 1233331 (base 6) in base 13?
2458c
Convert -335a4 (base 12) to base 15.
-15341
-1031012 (base 4) to base 15
-16de
-2103412 (base 5) to base 13
-12b34
Convert 170 (base 9) to base 4.
2100
Convert -12142 (base 5) to base 8.
-1632
What is 101001101100011 (base 2) in base 9?
32248
Convert -22110 (base 3) to base 11.
-198
Convert -36c6 (base 14) to base 13.
-4491
Convert -3203 (base 14) to base 5.
-234002
What is -48734 (base 9) in base 15?
-9a34
Convert -7261 (base 9) to base 7.
-21340
810 (base 9) to base 14
34d
What is -1631 (base 8) in base 5?
-12141
25a0 (base 11) to base 2
110100110001
What is 110012210 (base 3) in base 15?
2989
Convert 1356 (base 7) to base 11.
443
-369 (base 12) to base 7
-1332
What is 230 (base 10) in base 3?
22112
Convert -14260 (base 7) to base 5.
-111123
What is 204 (base 7) in base 10?
102
-3362 (base 7) to base 4
-103010
3003320 (base 4) to base 15
3aab
What is -1340402 (base 5) in base 16?
-6bd2
Convert -2122101 (base 3) to base 2.
-11110000111
What is -1024324 (base 5) in base 11?
-12137
What is 6179 (base 10) in base 8?
14043
What is 301023 (base 4) in base 16?
c4b
-101000100101001 (base 2) to base 13
-95c3
Convert 34306 (base 8) to base 7.
60242
Convert -7418 (base 10) to base 9.
-11152
What is -3050 (base 8) in base 13?
-943
12 (base 13) to base 7
21
What is -15 (base 14) in base 16?
-13
-83 (base 13) to base 4
-1223
7673 (base 10) to base 4
1313321
Convert 430 (base 8) to base 5.
2110
Convert -9 (base 14) to base 5.
-14
-34130 (base 6) to base 16
-12c6
What is -24a9 (base 11) in base 7?
-12343
2114 (base 6) to base 14
262
-1365 (base 7) to base 12
-389
Convert 2718 (base 16) to base 3.
111201200
495 (base 12) to base 10
689
-13230 (base 6) to base 8
-3762
10c9 (base 13) to base 7
6613
What is -9570 (base 10) in base 2?
-10010101100010
-120430 (base 8) to base 6
-514532
34141 (base 6) to base 5
123223
42a50 (base 11) to base 3
10011201111
Convert -121110111 (base 3) to base 2.
-10111011100001
Convert 2000 (base 14) to base 2.
1010101110000
Convert -899 (base 11) to base 16.
-434
What is -4270 (base 9) in base 2?
-110001000101
7091 (base 11) to base 8
22311
3619b (base 12) to base 14
1c78b
-4132 (base 16) to base 10
-16690
36450 (base 8) to base 14
59c4
4a7 (base 13) to base 16
32d
2160 (base 11) to base 6
21105
Convert -2833 (base 9) to base 5.
-32021
What is -2021010 (base 3) in base 2?
-11001110010
What is -161 (base 8) in base 14?
-81
Convert -11011000110010 (base 2) to base 14.
-50b0
-89d (base 15) to base 2
-11110011100
Convert -64b (base 12) to base 1 | {
"pile_set_name": "DM Mathematics"
} |
:26 AM?
11
How many minutes are there between 11:44 PM and 6:52 AM?
428
How many minutes are there between 4:41 AM and 7:15 AM?
154
What is 252 minutes before 11:01 AM?
6:49 AM
How many minutes are there between 7:44 AM and 7:58 AM?
14
How many minutes are there between 7:50 AM and 12:54 PM?
304
What is 507 minutes before 9:01 PM?
12:34 PM
How many minutes are there between 2:39 AM and 2:50 AM?
11
What is 123 minutes before 3:14 PM?
1:11 PM
What is 611 minutes after 3:25 PM?
1:36 AM
What is 185 minutes after 1:28 AM?
4:33 AM
How many minutes are there between 3:38 PM and 8:29 PM?
291
How many minutes are there between 2:33 PM and 12:20 AM?
587
What is 296 minutes after 12:52 AM?
5:48 AM
What is 488 minutes before 1:03 AM?
4:55 PM
What is 77 minutes before 10:05 AM?
8:48 AM
How many minutes are there between 9:18 PM and 9:38 PM?
20
How many minutes are there between 11:03 AM and 1:42 PM?
159
What is 252 minutes after 3:26 PM?
7:38 PM
How many minutes are there between 1:22 AM and 11:05 AM?
583
How many minutes are there between 5:21 PM and 4:37 AM?
676
What is 167 minutes after 12:25 PM?
3:12 PM
What is 675 minutes before 11:05 PM?
11:50 AM
How many minutes are there between 4:30 PM and 2:48 AM?
618
What is 616 minutes before 3:16 PM?
5:00 AM
What is 249 minutes before 6:17 PM?
2:08 PM
How many minutes are there between 2:09 AM and 12:18 PM?
609
How many minutes are there between 12:44 AM and 6:51 AM?
367
What is 195 minutes before 1:12 PM?
9:57 AM
How many minutes are there between 2:29 PM and 12:34 AM?
605
What is 293 minutes after 5:50 AM?
10:43 AM
What is 153 minutes before 10:12 PM?
7:39 PM
How many minutes are there between 10:58 PM and 7:10 AM?
492
How many minutes are there between 2:55 PM and 8:05 PM?
310
How many minutes are there between 8:00 AM and 3:54 PM?
474
How many minutes are there between 4:01 AM and 11:24 AM?
443
How many minutes are there between 5:31 AM and 5:41 AM?
10
What is 331 minutes after 3:42 PM?
9:13 PM
What is 121 minutes after 1:57 AM?
3:58 AM
What is 490 minutes before 1:06 AM?
4:56 PM
How many minutes are there between 6:17 AM and 7:46 AM?
89
How many minutes are there between 10:10 PM and 9:07 AM?
657
How many minutes are there between 4:26 PM and 11:11 PM?
405
What is 662 minutes before 3:07 PM?
4:05 AM
How many minutes are there between 8:14 PM and 5:00 AM?
526
How many minutes are there between 5:35 AM and 3:45 PM?
610
What is 676 minutes before 10:48 AM?
11:32 PM
How many minutes are there between 3:19 AM and 2:59 PM?
700
How many minutes are there between 12:10 AM and 4:08 AM?
238
How many minutes are there between 10:34 PM and 12:10 AM?
96
How many minutes are there between 7:14 AM and 3:35 PM?
501
How many minutes are there between 1:40 PM and 3:35 PM?
115
What is 508 minutes before 8:11 PM?
11:43 AM
What is 344 minutes before 2:22 AM?
8:38 PM
How many minutes are there between 10:01 PM and 5:10 AM?
429
How many minutes are there between 5:17 AM and 4:34 PM?
677
How many minutes are there between 5:55 PM and 10:53 PM?
298
How many minutes are there between 7:02 AM and 6:42 PM?
700
How many minutes are there between 11:30 AM and 10:48 PM?
678
How many minutes are there between 9:21 PM and 11:18 PM?
117
What is 616 minutes after 5:44 PM?
4:00 AM
How many minutes are there between 9:06 PM and 6:42 AM?
576
What is 591 minutes before 7:03 PM?
9:12 AM
What is 570 minutes after 10:19 PM?
7:49 AM
How many minutes are there between 7:24 AM and 9:15 AM?
111
What is 63 minutes after 11:21 PM?
12:24 AM
How many minutes are there between 1:52 AM and 5:55 AM?
243
How many minutes are there between 3:53 AM and 2:53 PM?
660
How many minutes are there between 2:11 AM and 9:19 AM?
428
How many minutes are there between 5:11 PM and 3:00 AM?
589
What is 587 minutes after 11:11 AM?
8:58 PM
What is 103 minutes after 7:34 AM?
9:17 AM
How many minutes are there between 12:26 PM and 10:10 PM?
584
How many minutes are there between 8:49 AM and 1:03 PM?
254
How many minutes are there between 6:32 AM and 5:59 PM?
687
How many minutes are there between 4:05 AM and 5:05 AM?
60
What is 456 minutes before 12:35 AM?
4:59 PM
How many minutes are there between 6:40 AM and 9:13 AM?
153
What is 634 minutes after 10:56 AM?
9:30 PM
What is 40 minutes after 11:41 PM?
12:21 AM
How many minutes are there between 12:37 PM and 10:48 PM?
611
How many minutes are there between 4:17 AM and 6:49 AM?
152
What is 20 minutes after 11:06 PM?
11:26 PM
What is 62 minutes before 6:57 PM?
5:55 PM
How many minutes are there between 6:07 PM and 2:57 AM?
530
How many minutes are there between 9:49 PM and 7:54 AM?
605
What is 260 minutes after 5:39 AM?
9:59 AM
How many minutes are there between 1:59 PM and 2:32 PM?
33
What is 514 minutes after 9:39 AM?
6:13 PM
What is 547 minutes after 9:13 PM?
6:20 AM
What is 251 minutes after 6:09 PM?
10:20 PM
What is 552 minutes after 4:51 AM?
2:03 PM
What is 36 minutes before 11:44 AM?
11:08 AM
How many minutes are there between 1:29 AM and 10:53 AM?
564
What is 136 minutes before 11:10 AM?
8:54 AM
How many minutes are there between 10:03 AM and 7:19 PM?
556
What is 463 minutes before 3:01 PM?
7:18 AM
How many minutes are there between 8:14 AM and 12:20 PM?
246
What is 127 minutes before 1:10 PM?
11:03 AM
What is 237 minutes after 3:11 AM?
7:08 AM
What is 676 minutes before 7:12 AM?
7:56 PM
How many minutes are there between 10:36 AM and 3:10 PM?
274
What is 714 minutes before 4:48 AM?
4:54 PM
What is 170 minutes after 6:07 AM?
8:57 AM
How many minutes are there between 4:37 AM and 10:04 AM?
327
What is 459 minutes before 1:31 AM?
5:52 PM
How many minutes are there between 9:09 PM and 1:00 AM?
231
What is 313 minutes after 10:39 AM?
3:52 PM
How many minutes are there between 11:09 PM and 2:36 AM?
207
What is 508 minutes before 1:50 PM?
5:22 AM
What is 662 minutes after 5:25 PM?
4:27 AM
How many minutes are there between 9:53 PM and 3:38 AM?
345
What is 117 minutes after 3:18 AM?
5:15 AM
How many minutes are there between 3:01 AM and 12:46 PM?
585
How many minutes are there between 6:05 AM and 3:46 PM?
581
What is 145 minutes after 11:12 AM?
1:37 PM
What is 636 minutes after 2:48 PM?
1:24 AM
What is 42 minutes before 1:23 PM?
12:41 PM
What is 132 minutes after 1:35 PM?
3:47 PM
What is 139 minutes after 7:02 AM?
9:21 AM
How many minutes are there between 5:57 PM and 6:51 PM?
54
How many minutes are there between 9:10 AM and 12:14 PM?
184
What is 599 minutes before 2:49 PM?
4:50 AM
What is 662 minutes after 8:31 AM?
7:33 PM
What is 181 minutes after 6:53 AM?
9:54 AM
How many minutes are there between 12:28 PM and 4:26 PM?
238
How many minutes are there between 9:13 PM and 6:41 AM?
568
What is 670 minutes before 7:24 AM?
8:14 PM
How many minutes are there between 10:43 AM and 5:37 PM?
414
How many minutes are there between 7:31 PM and 3:14 AM?
463
How many minutes are there between 5:52 AM and 12:42 PM?
410
How many minutes are there between 2:09 PM and 7:32 PM?
323
What is 130 minutes after 6:05 AM?
8:15 AM
What is 181 minutes after 9:13 AM?
12:14 PM
What is 532 minutes before 4:21 PM?
7:29 AM
How many minutes are there between 10:21 AM and 9:42 PM?
681
How many minutes are there between 11:13 AM and 8:32 PM?
559
How many minutes are there between 3:15 PM and 6:39 PM?
204
What is 166 minutes after 1:24 PM?
4:10 PM
How many minutes are there between 7:58 AM and 3:26 PM?
448
What is 152 minutes before 7:03 AM?
4:31 AM
What is 560 minutes after 9:44 AM?
7:04 PM
What is 6 minutes before 9:51 AM?
9:45 AM
How many minutes are there between 2:45 AM and 10:21 AM?
456
How many minutes are there between 5:32 AM and 11:57 AM?
385
What is 19 minutes after 1:33 PM?
1:52 PM
What is 685 minutes before 12:26 PM?
1:01 AM
How many minutes are there between 3:13 PM and 8:36 PM?
323
How many minutes are there between 4:46 AM and 3:14 PM?
628
How many minutes are there between 11:56 PM and 12:35 AM?
39
How many minutes are there between 7:35 AM and 6:27 PM?
652
How many minutes are there between 2:16 AM and 7:57 AM?
341
How many minutes are there between 7:18 PM and 3:45 AM?
507
How many minutes are there between 1:21 AM and 2:23 AM?
62
How many minutes are there between 8:24 PM and 4:51 AM?
507
What is 249 minutes after 9:57 PM?
2:06 AM
What | {
"pile_set_name": "DM Mathematics"
} |
of 15?
True
Is 98 a factor of 13486590?
False
Is 63 a factor of 75978?
True
Is 14 a factor of 136362?
False
Does 8 divide 145109?
False
Does 167 divide 90681?
True
Is 712277 a multiple of 27?
False
Does 22 divide 10604126?
False
Is 1023558 a multiple of 31?
True
Does 17 divide 751162?
True
Does 83 divide 758703?
True
Does 747 divide 325506?
False
Does 28 divide 28784?
True
Does 80 divide 8001091?
False
Is 241232 a multiple of 169?
False
Is 135240 a multiple of 46?
True
Is 771761 a multiple of 269?
True
Is 5 a factor of 28670?
True
Does 378 divide 2626344?
True
Does 18 divide 338265?
False
Is 122366 a multiple of 7?
False
Is 1781296 a multiple of 116?
True
Is 399235 a multiple of 923?
False
Is 8 a factor of 6927312?
True
Does 46 divide 79672?
True
Is 594 a factor of 3611520?
True
Is 10 a factor of 45128?
False
Does 27 divide 9021?
False
Is 108 a factor of 5548?
False
Is 40 a factor of 9567120?
True
Is 562 a factor of 272907?
False
Does 769 divide 5091700?
False
Is 19 a factor of 1793790?
True
Is 1570441 a multiple of 103?
True
Is 591 a factor of 1516681?
False
Is 3348432 a multiple of 1104?
True
Does 15 divide 3388692?
False
Does 11 divide 1435511?
True
Is 18 a factor of 3781044?
True
Is 260620 a multiple of 20?
True
Does 12 divide 548160?
True
Is 1096823 a multiple of 378?
False
Does 22 divide 463797?
False
Does 110 divide 564849?
False
Is 632951 a multiple of 16?
False
Is 57094 a multiple of 34?
False
Does 764 divide 211628?
True
Is 2995430 a multiple of 590?
True
Is 36 a factor of 2388610?
False
Is 97 a factor of 2555174?
True
Is 301814 a multiple of 65?
False
Is 4 a factor of 125509?
False
Is 453496 a multiple of 4?
True
Does 803 divide 452892?
True
Is 9230250 a multiple of 397?
True
Does 16 divide 3265417?
False
Is 10 a factor of 808474?
False
Does 94 divide 396586?
True
Is 23930153 a multiple of 2119?
False
Does 201 divide 1504686?
True
Is 111945 a multiple of 51?
True
Is 98 a factor of 1343099?
False
Does 4 divide 913?
False
Is 547058 a multiple of 37?
False
Is 3 a factor of 129304?
False
Is 7 a factor of 246373?
False
Is 11645 a multiple of 137?
True
Is 195471 a multiple of 5?
False
Is 1197952 a multiple of 56?
True
Is 343240 a multiple of 52?
False
Does 50 divide 469648?
False
Is 1225564 a multiple of 268?
True
Is 43151 a multiple of 5?
False
Is 1395056 a multiple of 4?
True
Is 4047400 a multiple of 200?
True
Is 188037 a multiple of 9?
True
Does 240 divide 4067040?
True
Is 612 a factor of 2299284?
True
Is 57 a factor of 500952?
False
Is 980223 a multiple of 11?
False
Is 321393 a multiple of 447?
True
Is 1739284 a multiple of 327?
False
Is 13 a factor of 9629202?
False
Is 503659 a multiple of 42?
False
Is 22271 a multiple of 40?
False
Does 28 divide 361284?
True
Does 69 divide 3819093?
False
Does 21 divide 4578273?
True
Is 766073 a multiple of 77?
True
Does 3 divide 510030?
True
Is 341295 a multiple of 61?
True
Is 76 a factor of 4008696?
True
Is 17 a factor of 1586185?
True
Is 475330 a multiple of 18?
False
Is 78200 a multiple of 7?
False
Does 18 divide 496493?
False
Is 19055 a multiple of 12?
False
Is 508567 a multiple of 323?
False
Is 32 a factor of 1566852?
False
Does 115 divide 462415?
True
Is 143262 a multiple of 379?
True
Is 162466 a multiple of 29?
False
Is 23 a factor of 3910?
True
Is 4063294 a multiple of 120?
False
Is 647017 a multiple of 332?
False
Is 8 a factor of 92880?
True
Is 41 a factor of 1528?
False
Is 7 a factor of 707833?
True
Is 817150 a multiple of 13?
False
Is 1021275 a multiple of 255?
True
Is 685388 a multiple of 421?
True
Is 52 a factor of 1065740?
True
Is 8 a factor of 382645?
False
Does 10 divide 417113?
False
Is 37001 a multiple of 120?
False
Is 56 a factor of 2945423?
False
Does 54 divide 1584198?
True
Is 69542 a multiple of 32?
False
Is 16 a factor of 120592?
True
Does 131 divide 263048?
True
Is 143 a factor of 481481?
True
Does 194 divide 10035814?
True
Is 162 a factor of 725436?
True
Is 7 a factor of 206542?
True
Does 12 divide 37861?
False
Does 7 divide 1260540?
False
Is 17 a factor of 1575339?
True
Is 75044 a multiple of 257?
True
Is 302778 a multiple of 178?
True
Does 3 divide 116070?
True
Does 382 divide 310184?
True
Is 4 a factor of 49683?
False
Is 373360 a multiple of 104?
True
Does 7 divide 20394?
False
Is 197768 a multiple of 31?
False
Does 273 divide 214429?
False
Does 14 divide 2382590?
True
Is 629680 a multiple of 136?
True
Does 156 divide 19500?
True
Does 420 divide 5106584?
False
Does 780 divide 2164500?
True
Is 676 a factor of 1159340?
True
Is 78168 a multiple of 12?
True
Does 148 divide 1632292?
True
Is 1064 a multiple of 7?
True
Is 33856 a multiple of 92?
True
Is 82644 a multiple of 6?
True
Is 74 a factor of 1341768?
True
Is 28 a factor of 232732?
False
Is 30 a factor of 716550?
True
Is 381 a factor of 73152?
True
Is 79 a factor of 1747374?
False
Does 89 divide 924504?
False
Is 75 a factor of 1367118?
False
Is 1947414 a multiple of 699?
True
Does 960 divide 16522560?
True
Is 98 a factor of 3700679?
False
Is 21 a factor of 1551837?
True
Is 12212718 a multiple of 169?
False
Is 2112416 a multiple of 32?
True
Is 279540 a multiple of 180?
True
Is 1365812 a multiple of 28?
True
Is 176592 a multiple of 13?
True
Does 9 divide 26393893?
False
Is 7 a factor of 161791?
True
Is 1191788 a multiple of 26?
True
Does 13 divide 8992941?
False
Does 6 divide 171170?
False
Is 249571 a multiple of 185?
False
Does 5 divide 30295?
True
Is 7 a factor of 4281450?
False
Is 171741 a multiple of 131?
True
Is 63 a factor of 4494632?
False
Is 10 a factor of 113603?
False
Is 787497 a multiple of 147?
False
Is 15 a factor of 1462016?
False
Does 369 divide 63669?
False
Does 13 divide 3209?
False
Is 8 a factor of 259744?
True
Is 88 a factor of 65736?
True
Is 10 a factor of 27417?
False
Is 13 a factor of 5020992?
False
Does 441 divide 155391?
False
Is 2201825 a multiple of 166?
False
Is 8134992 a multiple of 16?
True
Does 39 divide 555207?
False
Is 250240 a multiple of 320?
True
Is 16 a factor of 512096?
True
Does 11 divide 40740?
False
Is 4 a factor of 6656?
True
Is 130140 a multiple of 27?
True
Does 5 divide 115265?
True
Is 55 a factor of 163515?
True
Is 240305 a multiple of 3?
False
Is 2469720 a multiple of 3?
True
Is 2245 a multiple of 10?
False
Does 4 divide 6668?
True
Is 13810800 a multiple of 30?
True
Is 14 a factor of 107575?
False
Is 26 a factor of 164793?
False
Is 46866 a multiple of 73?
True
Does 86 divide 5361230?
False
Is 10687 a multiple of 65?
False
Is 210668 a multiple of 159?
False
Is 24 a factor of 2449276?
False
Is 12 a factor of 377580?
True
Does 31 divide 165914?
False
Is 5 a factor of 1234222?
False
Does 62 divide 3308643?
False
Is 43 a factor of 1476147?
True
Is 53 a factor of 3159233?
False
Does 105 divide 48720?
True
Is 203361 a multiple of 53?
True
Is 155950 a multiple of 25?
True
Is 75110 a multiple of 10?
True
Is 454548 a multiple of 12?
True
Is 4 a factor of 220320?
True
Does 44 divide 4109380?
True
Does 33 divide 152758?
False
Does 59 divide 624405?
False
Is 80 a factor of 166400?
True
Is 19584 a multiple of 9?
True
Is 839608 a multiple of 308?
True
Is 5 a factor of 323865?
True
Does 11 divide 66111?
False
Does 156 divide 93600?
True
Is 57 a factor of 13281?
True
Is 2616810 a multiple of 510?
True
Is 30 a factor of 135210?
True
Does 416 divide 3968669?
False
Is 9 a factor of 1259377?
False
Is 12467 a multiple of 13?
True
Is 973 a factor of 3204118?
False
Is 31 a factor of 2866139?
False
Is 50 a factor of 383600?
True
Is 34 a factor of 3318215?
False
Is 11 a factor of 65392?
False
Does 543 divide 1477571?
False
Does 52 divide 32488?
False
Is 4406387 a multiple of 996?
False
Is 101517 a multiple of 8?
False
Does 417 divide 168288?
False
Is 10 a factor of 2519988?
False
Is 2552762 a multiple of 132?
False
Is 1699 a factor of 2478841?
True
Is 27 a factor of 3937120?
False
Does 9 divide 653955?
False
Is 374149 a multiple of 46?
False
Is 1509546 a multiple of 303?
True
Is 4355676 a multiple of 52?
True
Is 39389 a multiple of 17?
True
Is 195 a factor of 75465?
True
Is 37 a factor of 702426?
False
Is 943181 even?
False
Is 338 a factor of 179816?
True
Is 48 a factor of 9312?
True
Does 274 divide 340717?
False
Is 342083 a multiple of 345?
False
Is 129900 a multiple of 11?
False
Is 42 a factor of 1 | {
"pile_set_name": "DM Mathematics"
} |
2?
2
Let o = 0.114 - -0.086. Which is the second biggest value? (a) -4 (b) 0.01 (c) o
b
Let l(t) = 2*t**2 - 15*t + 15. Let i be l(1). Suppose -5*g + 3*g = -5*d + 5, -10 = 5*d - 5*g. Which is the second biggest value? (a) d (b) 1/2 (c) i
c
Let i(j) = -j**2 + 4*j + 6. Let h be i(5). Which is the second smallest value? (a) h (b) 3 (c) -0.1
a
Let h be (-4 - -6) + (2 - 0). What is the third biggest value in -2, 3, h?
-2
Let v be 23/(-1)*1/(-4). Let x = -67/12 + v. What is the smallest value in x, -0.5, -1?
-1
Let v = 42 - 43. Which is the third smallest value? (a) 6 (b) v (c) -4
a
Let u(o) = 5 - o**3 - 9*o - 2*o**2 - 5*o**2 + 2*o**3. Suppose -6*v = -3*v - 24. Let j be u(v). Which is the second biggest value? (a) -1/4 (b) -5 (c) j
c
Suppose 3*w = -0*w - v + 2, 2*v - 5 = -5*w. Let m = 0.027 - 0.127. Which is the second biggest value? (a) w (b) m (c) -0.4
c
Let o = -0.2 + -0.1. Which is the third biggest value? (a) -0.5 (b) -2 (c) o
b
Let j = 2 + -5. Let p = j - -3.1. Suppose 0 = -3*l - 2 + 17. What is the smallest value in 0, p, l?
0
Let m = -37 + 255/7. Which is the third biggest value? (a) m (b) 2/21 (c) 3
a
Let r = 7 - 3. Suppose r*a - 16 = 4*t, 2*a + 13 = -0*a - 5*t. Let g = 19/4 + -5. What is the biggest value in -1/5, a, g?
a
Let s = -0.6 - -3.6. Let a = -3 + s. Let j = a - 4. What is the third biggest value in 0.2, j, -3?
j
Let b(r) = 8*r - r**3 - 6 + 0*r + r**2 + 3*r**2. Let k be b(7). Let u = 295/3 + k. What is the second biggest value in -4, 4, u?
u
Let g = 1.4 + -1.76. Let f = 3.04 + -3. Let w = f - g. Which is the biggest value? (a) 0 (b) 3/7 (c) w
b
Let h = -743/1386 + 15/77. Let c = 5/42 + h. Let u = 72 + -67. What is the second biggest value in c, 0.4, u?
0.4
Let y = -4 - -4.1. Let s = -0.6 + y. Let v = s + 0.6. Which is the second biggest value? (a) -3 (b) v (c) 1/5
b
Let l = -67 - -68. Which is the third biggest value? (a) -2/25 (b) -24 (c) l
b
Let m = -0.1 - 0.2. Let x = -34/15 + 18/5. Which is the second smallest value? (a) 2 (b) x (c) m
b
Let b = -2 + 2.2. Let y = -68 + 68.1. What is the smallest value in b, 3, y?
y
Suppose -4*u = 12, -m - 32 = -6*m - u. Let h be (-66)/14 + (-2)/m. Which is the smallest value? (a) -2 (b) -3 (c) h
c
Let m = 2 + -2.2. Let f = 9 + -8.5. What is the second biggest value in m, f, 0.2?
0.2
Let y = -4 - -2. Let s = -133.5 - -128.5. Which is the second biggest value? (a) y (b) 2/9 (c) s
a
Suppose 45 - 69 = 8*j. Which is the second biggest value? (a) j (b) -2/23 (c) -4
a
Let p = 0.2 - 0.2. Let n(o) = -3 - 4*o + 6*o - o. Let q be n(4). What is the second biggest value in q, p, 4?
q
Let x = -147.3 - -147. Let h = -5.2 - -0.2. What is the second smallest value in -2/3, x, h?
-2/3
Let w = 148 + -1330/9. Let d = -6.3 + 6. Which is the smallest value? (a) w (b) -2/5 (c) d
b
Let g be 4/(-14) + 312/798. Let k be (-2)/(-6)*(2 + 7). Let x be (6/(-9))/((-2)/k). Which is the third biggest value? (a) g (b) 2 (c) x
a
Suppose i + 2*i = 0. Which is the biggest value? (a) i (b) -5 (c) 0.5
c
Let k = -125 - -124.8. Which is the fourth biggest value? (a) -0.4 (b) 2/5 (c) 1/4 (d) k
a
Suppose 2*f - 6 = 4. Suppose 5*l + 20 = 0, 0*w + w + f*l = -17. Let k = 2 - 5. Which is the third smallest value? (a) 0.1 (b) w (c) k
b
Let g be ((-3)/(-9))/(-2 + 8 + -5). Which is the fourth biggest value? (a) 0.6 (b) -5 (c) g (d) 0
b
Suppose 3*d + 6 = 3*v - 0*d, -v - 3*d - 18 = 0. Which is the smallest value? (a) 0.5 (b) v (c) 5/2
b
Let a(t) = -t**3 + t**2 - t + 5. Let b be a(0). Let c = -2.963 - 0.037. What is the biggest value in b, c, -9?
b
Let t = -4 + 3.9. Let o = -7.7 + 8. Let s = -2.01 - -0.01. What is the second smallest value in o, s, t?
t
Let m = -6/95 + -83/190. Which is the second biggest value? (a) -5 (b) -2/11 (c) -4 (d) m
d
Let y be 84/(-43) + (-1 - -3). Let v = y - -39/86. Let g be 1 + -2 + (-1)/(-1). Which is the second biggest value? (a) g (b) v (c) 2/3
b
Let x = -14 + 17. Which is the biggest value? (a) 0.3 (b) 7 (c) x
b
Let h(l) = -l**2 + 15*l - 27. Let g be h(13). Let r be (-4)/10 + 40/225. What is the second biggest value in r, 5, g?
r
Let k(h) = -h**3 - 7*h**2 + 2*h + 10. Let r be k(-7). Let q(d) = d**2 + 5*d + 3. Let n be q(r). What is the third biggest value in -0.4, n, -5?
-5
Let f = -3.06 + -0.94. Which is the second smallest value? (a) f (b) 2 (c) 0 (d) -1/6
d
Let o = 12 - 12.1. What is the smallest value in -2, 5, o?
-2
Let m = 58 + -58.1. What is the biggest value in 6, m, 4?
6
Let r = -0.1 + 0.12. Let w = r + -4.02. Let z = -25 + 20. What is the smallest value in 5, z, w?
z
Let m = -0.04 + 0.01. Let g = m + 0.43. Let o = -0.9 - -0.8. Which is the second biggest value? (a) 3 (b) o (c) g
c
Suppose 0 = -8*z + 5*z - 3. Suppose -6*i + i - 10 = 0. Which is the third smallest value? (a) -0.5 (b) z (c) i
a
Let s = -0.17 + 9.17. Let d = -14 + s. Which is the second smallest value? (a) d (b) -1/7 (c) 1/4
b
Let x = 0 + 2. Let n = -2 + x. Suppose -7*v + 2 = 3*r - 2*v, -5*r + 3*v + 26 = n. Which is the second biggest value? (a) r (b) -0.2 (c) -2
b
Let n be 0 - (-1)/((-1)/3). What is the third biggest value in -1/10, 1/11, n?
n
Let q = -51 - -461/9. What is the smallest value in q, -0.5, -0.005?
-0.5
Let g = -0.7 + -2.3. Let z = -3085/21 + 147. Which is the third smallest value? (a) z (b) -4 (c) g
a
Let s = -0.13 + -1.87. Let q be (-1 + 3)*1/9. Which is the second smallest value? (a) s (b) 3 (c) q
c
Suppose 0 = 31*b - 50 + 174. Let g = -15 - -11. Let q = g + 3. What is the third smallest value in b, q, -5?
q
Let f = -2.3 - -2.6. Let k = 0.2 - -0.3. Which is the biggest value? (a) -4 (b) f (c) k
c
Let d = -16 + 20. Suppose 3*m = -3*o - 24, -8 = 3*m + 4. Let f be o/6*1/(-2). Which is the third smallest value? (a) d (b) f (c) 1/4
a
Let y = 0.02 - -0.38. Let v be ((-3)/4)/(2/(-8)). What is the second biggest value in y, 0.3, v?
y
Let l = 5.05 + -5. Let x = l + -0.25. Let i = -1.2 - x. Which is the second biggest value? (a) -0.1 (b) i (c) -5
b
Let d be 3/(-3*1/(-6)). Let s be 33/9 - 4/d. Which is the third biggest value? (a) -3/5 (b) s (c) -3
c
Let w = 24 - 24.4. Let y be (-1)/(-2 + (-33)/(-15)). What is the second smallest value in w, y, 0.06?
w
Let f be ((-1)/4 - 0)*168/63. What is the third smallest value in 3, f, -4/3, -1?
f
Let f = -4 + 21. Let v = f + -12. Suppose v*t + 5*m + 9 + 11 = 0, m + 5 = -2*t. What is the second smallest value in -3, t, 0.3?
t
Let y = -119 - -98. Which is the smallest value? (a) 0.2 (b) y (c) -2 (d) 3
b
Let g = 1.97 + 0.03. Let r(s) = 4*s**2 - 5*s - 7. Let x be r(6). Let a = x - 532/5. What is the third smallest value in a, g, -2/7?
g
Let m = 10 - 5. Let y = 0.4 + -1.4. Let t = y - -0.6. Which is the third smallest value? (a) t (b) m (c) 0.4
b
Let i = -0.2 + 0.1. Let m be 24/(-32) + (-74)/(-56). Which is the biggest value? (a) i (b) m (c) 4
c
Let z = 8.4 - -1.6. Let g = z - 6. What is the second biggest value in 5/2, g, -1?
5/2
Let p be ((-32)/(-24))/(11 - 1). What is the second biggest value in 1/3, p, 1?
1/3
Let a(o) = o**2 + 5*o + 1. Let p be a(-5). Suppose h = 5*h. Let j be (0 - (-6)/8) + h. What is the second smallest value in j, p, 1/5?
j
Let x(i) = -i**2 - 6*i - 5. Let t be x(-5). Suppose -4*d - 12 = -t. What is the third smallest value in 3, d, 1/7?
3
Let t be 94/4 + 6 + -6. Suppose 7*s - 5 = 2*s, 5*s - 120 = 5*d. Let x = d + t. What is the second smallest value in x, -0.2, -5?
-0.2
Let s be (69/(-6))/(1/2). Let v be s/(-5) - (-4)/10. What is the third biggest value in 1/2, v, -0.1?
-0.1
Let v = -40 - -40.2. What is the biggest value in 0.5, -3/4, v, -0.1?
0.5
Let u = -0.1 - -0.4. Let y = -1 + -5. Let h = -4 - y. Which is the third smallest value? (a) u (b) h (c) -2/7
b
Let q = 24 - 23. Let z = -0.5 + 0.3. What is the biggest value in z, -0.1, q?
q
Let y = 1 + -5. Let n be y/110*15/3. Suppose -2*f + 20 = 3*f. Which is the second smallest value? (a) 1 (b) n (c) f
a
Let u = -20 + 5. Let o = u - -11. Let d be (0 - 4/5) + 1. Which is the smallest value? (a) d (b) o (c) -1
b
Let t = -3.8 + 4. Let g = 0.3 + t. Which is the biggest value? (a) 1/4 (b) g (c) -3
b
Let p = -1 + 2. Suppose 4*x + 9 = -7. Let w be x/6*(-9)/(-8). Which is the biggest value? (a) 0 (b) p | {
"pile_set_name": "DM Mathematics"
} |
rt(121) + 1*sqrt(121)))*-2 + sqrt(121))/(sqrt(33)/(sqrt(15)/sqrt(5))) + 3*sqrt(99)/(sqrt(9) + sqrt(54)/sqrt(486)).
57*sqrt(11)/10
Simplify ((sqrt(3) - (sqrt(3) - ((sqrt(180)/sqrt(5))/sqrt(12) + sqrt(3)))) + sqrt(48) + 3 + sqrt(48))**2 - ((sqrt(192)*4 - sqrt(192))**2 - (2 + sqrt(363))).
-1417 + 71*sqrt(3)
Simplify (sqrt(60)/(-1*-2*sqrt(10))*2)/(((-2*sqrt(216))/sqrt(8) - sqrt(27))/sqrt(576)).
-8*sqrt(2)/3
Simplify 5 + (-3*(0 + sqrt(567)))**2 + 0 - (1 + (3*sqrt(567) - sqrt(567)) + sqrt(567) + 0 + 5)**2.
-324*sqrt(7) - 31
Simplify -4*(-5 + -2*sqrt(108) + 1 + 0 + 2*(-1*sqrt(108) + sqrt(108)))**2*-2 + 5.
768*sqrt(3) + 3589
Simplify -6*(sqrt(45)*1*5 - (sqrt(180) - (sqrt(180) + sqrt(180)*1)))/(sqrt(324) + -1*(sqrt(324) + sqrt(324)*1)).
7*sqrt(5)
Simplify (((sqrt(168) + -2*sqrt(168)*1 + sqrt(168) - sqrt(168))/sqrt(8)*-3)/((sqrt(1008) + 3*sqrt(1008) + sqrt(1008))*-6*-5))**2.
1/120000
Simplify (-4*(-2*2*sqrt(78) + sqrt(78) + -5*(-2*sqrt(78) - sqrt(78) - sqrt(78))))/((sqrt(18)*3)/sqrt(3) + sqrt(12)/(sqrt(4)/sqrt(2))).
-17*sqrt(13)
Simplify ((sqrt(102) - (-2*sqrt(102) + sqrt(102) - sqrt(102)))/sqrt(3))/(-1*sqrt(128)) + (sqrt(51)*-1*-3)/(-1*sqrt(432)).
-5*sqrt(17)/8
Simplify ((-2*sqrt(96))/sqrt(2)*-5)/((sqrt(196) - (-3*2*sqrt(196) - sqrt(196)))*-2).
-5*sqrt(3)/28
Simplify ((sqrt(33)/((sqrt(36)*-2)/sqrt(12)) - ((-1*sqrt(99)*4)/sqrt(9))**2) + -2)*4.
-712 - 2*sqrt(11)
Simplify ((-2*(sqrt(132) + sqrt(132) + (sqrt(132) - 5*2*sqrt(132)) - -6*(sqrt(132) + sqrt(132)*2 + sqrt(132))))/(-5*(sqrt(972) - -1*sqrt(972)*3)))**2*-6.
-3179/1350
Simplify (3*-4*(sqrt(33) - sqrt(132)/sqrt(4)*-6))/(1*sqrt(108)*3 + (1*sqrt(108) + sqrt(108))*-5 + sqrt(108)).
7*sqrt(11)/3
Simplify 4 + -2 + 0 + (1 + 1 + 0 + sqrt(684))**2 + 3 + -2.
24*sqrt(19) + 691
Simplify -3*(1 + ((-1 + -4*(sqrt(175) - (-1 + sqrt(175))))**2 - (-1*sqrt(175)*5 + -3))).
-75*sqrt(7) - 87
Simplify (-1 + -1*sqrt(153) - (sqrt(1088) - (sqrt(1088) + -1 + sqrt(1088) - sqrt(1088))*-3))**2 - (sqrt(68)*-2*1 + sqrt(68))/(sqrt(16)/sqrt(4)*-2)*-2.
-139*sqrt(17) + 20829
Simplify (((sqrt(190) - (5*sqrt(190) + sqrt(190))*-5) + (sqrt(190) - -3*-3*sqrt(190)))/((sqrt(150)/sqrt(108))/sqrt(5)*-6))**2.
10051
Simplify ((2*(sqrt(363) + sqrt(363)*2*-1) - -2*(sqrt(363) + 2)*-5) + -3)**2.
6072*sqrt(3) + 52801
Simplify (1 + ((-4*(-1 + sqrt(17)) - 2*sqrt(1088))**2 - -5*(sqrt(272) + -1)) + -2)*6.
-840*sqrt(17) + 40860
Simplify (sqrt(187) - (-5*1*sqrt(187) + sqrt(187)) - 2*sqrt(187)*-1)/(sqrt(55)/(sqrt(5) - sqrt(20)) - sqrt(55)/sqrt(125)).
-35*sqrt(17)/6
Simplify (((1*sqrt(114) - sqrt(114)) + sqrt(114))*3 - -5*(1*sqrt(114) + sqrt(114)))/((1*sqrt(48)*-1)/(5*sqrt(16)/sqrt(2))).
-65*sqrt(19)
Simplify 5 + (sqrt(70)/(sqrt(8)/sqrt(4)) - (sqrt(35) + sqrt(70)/sqrt(2))*6)/(sqrt(28)/(5*sqrt(64))).
-220*sqrt(5) + 5
Simplify (sqrt(12) + sqrt(1452)*-1 + sqrt(72)/sqrt(6)*-4)/(-5*((sqrt(150)*4 + sqrt(150))*5 - sqrt(150))).
7*sqrt(2)/300
Simplify ((sqrt(972) + (sqrt(972) - sqrt(972)*2) + sqrt(972))*2 - (sqrt(972)*1 + 0) - (6*(0 + sqrt(972)) + 1))**2 + 3.
180*sqrt(3) + 24304
Simplify -3 + -2*(-2*(6*(sqrt(425) + 1) + -2 + 0))**2.
-122531 - 1920*sqrt(17)
Simplify (sqrt(45)/(sqrt(5)*-2) - (sqrt(27)*2)/sqrt(3))/(sqrt(1728)*1 + sqrt(1728)) + 5.
-5*sqrt(3)/96 + 5
Simplify 3 + (((sqrt(121) - (sqrt(121) - (sqrt(121)*-3 - sqrt(121)))) + sqrt(121))*4)/(sqrt(176)*-4) + -4.
-1 + 3*sqrt(11)/4
Simplify 1*(-1*(sqrt(33) - (-3*((sqrt(33) - sqrt(33)*3) + sqrt(33)) - sqrt(33))))/(2*sqrt(11)*-5 - (sqrt(110)*1)/sqrt(10)).
-sqrt(3)/11
Simplify (-1*sqrt(143)*1 - sqrt(143) - sqrt(143)*1*-4)/(-3*((sqrt(704)*2 + sqrt(704))*-6 + sqrt(704) - sqrt(704))).
sqrt(13)/216
Simplify (sqrt(495)/(4*1*sqrt(11) + sqrt(11)))/(sqrt(108)/(sqrt(108) - sqrt(12))*-5)*1.
-2*sqrt(5)/25
Simplify ((sqrt(7) + -1*(sqrt(7) + 0) - (sqrt(56)/sqrt(2))/sqrt(4)) + 4)*6 + (sqrt(63) + 2 + -3)*3 + 0.
3*sqrt(7) + 21
Simplify 1*(6*(3 + (3*sqrt(1584))**2) - (2 + (sqrt(66)/(sqrt(42)/(sqrt(7)*-2)))**2)).
85508
Simplify -4*((-1*(1 + sqrt(343)) + -5*(sqrt(343) + 1))**2 + 4*(-3 + sqrt(343) - sqrt(343))*-3)*-6.
12096*sqrt(7) + 298080
Simplify (2*(sqrt(12) + sqrt(192) + sqrt(12)))/(sqrt(48)/(sqrt(432) - sqrt(12) - sqrt(12)) + sqrt(4)) + (2*sqrt(243) + 2 - -1*sqrt(192)*-4)**2.
-232*sqrt(3)/5 + 592
Simplify (5*(sqrt(114) + sqrt(114)*-4*-6)*-3)/((sqrt(324)*-2 - sqrt(324))/(sqrt(30)/(sqrt(15)/sqrt(3)))).
125*sqrt(19)/3
Simplify 4*(-5 + -2*sqrt(108) + -2*(-1 + sqrt(108) + sqrt(108)) - ((sqrt(108) - (sqrt(108) + 0 - sqrt(108))) + 3 + 0)**2)*-5.
2400 + 1440*sqrt(3)
Simplify -3 + (((sqrt(56) - -2*sqrt(896))/sqrt(7))**2 - (0 + (sqrt(72) - (-4 + sqrt(72))) + -2)).
643
Simplify (-1*-3*sqrt(512) - -3*sqrt(512)*5)/(-3*sqrt(196) - sqrt(44)/(sqrt(11)*2)).
-288*sqrt(2)/43
Simplify (6*(-1 + ((sqrt(162) - (sqrt(10)/sqrt(5) + -4)) + (-2*sqrt(1936))/(sqrt(8) + sqrt(32)/(sqrt(4)*-2 - sqrt(4))))*-5))**2.
-189000*sqrt(2) + 1140876
Simplify ((sqrt(4)/(sqrt(2)*1) + sqrt(100)/sqrt(2))*2 + 5)**2 + (sqrt(108)*1)/(sqrt(12)/sqrt(2)*-3 - sqrt(6)).
477*sqrt(2)/4 + 313
Simplify (((sqrt(55)*2)/sqrt(5) - (2 + sqrt(44)/sqrt(4))) + 1 + sqrt(1331) + sqrt(1331) + -1 + -3 + 1)**2.
-184*sqrt(11) + 5835
Simplify 1 + sqrt(10)/(sqrt(5)*2)*-1 + -2*(-2 + 1*sqrt(32)).
-17*sqrt(2)/2 + 5
Simplify 2 + ((sqrt(190) - (sqrt(190) + sqrt(190) + 2*sqrt(190))*-4)/(sqrt(10)*-1*2))**2 + (4*(2*sqrt(2299) + 0 + 0 + sqrt(2299) + -3))**2.
-3168*sqrt(19) + 1330299/4
Simplify (3*sqrt(99)*1*-3)/(4*(sqrt(441) - (-4*sqrt(441) - sqrt(441)))).
-3*sqrt(11)/56
Simplify -4 + (sqrt(78)*-1*-6)/sqrt(6) + (-1*sqrt(6292)*2)**2.
6*sqrt(13) + 25164
Simplify ((1*(0 + 0 + 1*sqrt(1872))*-2 + 2)*-2)**2*6.
-2304*sqrt(13) + 179808
Simplify -5*((-4*sqrt(1368) + sqrt(1368) + sqrt(1368))*-5)/(4*sqrt(242)*-1).
75*sqrt(19)/11
Simplify (sqrt(3087)*-1)/((sqrt(9) + sqrt(27)/sqrt(3))*-2) + (2*sqrt(49)*2)/(sqrt(28)*-6 - sqrt(7)).
75*sqrt(7)/52
Simplify (-5*(-2*sqrt(800)*-6 + sqrt(800)))/((-2*sqrt(288))/(sqrt(8) - sqrt(72)*2)) + -1.
-1625*sqrt(2)/3 - 1
Simplify -5 + (sqrt(567)*-2 + 5 - (sqrt(7) - (sqrt(7) - (sqrt(7) + (sqrt(21) - ((sqrt(21) - (sqrt(21) + sqrt(84))) + sqrt(21)))/sqrt(3) + sqrt(7))))*-2)**2*6.
-600*sqrt(7) + 4345
Simplify 2*-1*sqrt(1088)*4 - (sqrt(272) + -1 + 2 + sqrt(272) + (0 + sqrt(272))*-2)**2.
-64*sqrt(17) - 1
Simplify ((sqrt(11) - sqrt(88)/(sqrt(8)*-2)) + sqrt(11) + -2*sqrt(704) - (1 + sqrt(1584) + -5 + sqrt(99)) - (-3 + 6*(sqrt(176)*1 + 3)))**2.
1155*sqrt(11) + 121759/4
Simplify -5*3*(-1 + sqrt(68))**2*4 - (sqrt(68) + sqrt(68) + -6*(1 + sqrt(68))**2 - sqrt(68) - -2*sqrt(68)*1).
-3726 + 258*sqrt(17)
Simplify (0 + (sqrt(495)/sqrt(9))/sqrt(11))*2 + sqrt(720) + (sqrt(720) - (sqrt(720) - (4*sqrt(720))**2)) + -1 + 0.
14*sqrt(5) + 11519
Simplify ((2*-2*(1 + sqrt(1900)) - 5*((-3 + sqrt(1900))*-5 - sqrt(1900))) + 2)**2.
-40040*sqrt(19) + 1290329
Simplify 3*(1 + sqrt(252) + -2 + sqrt(448)) - (sqrt(28) - (1*sqrt(280))/sqrt(10))/(-2*sqrt(64)).
-3 + 42*sqrt(7)
Simplify ((5*3*sqrt(204)*3*-3)/(1*(sqrt(1728) + -4*(sqrt(1728) + sqrt(1728)*-2 + sqrt(1728) + sqrt(1728)))))**2.
3825/16
Simplify 4 + (4*sqrt(162)*2*-1)**2 - (sqrt(4)/((sqrt(30)/sqrt(3))/sqrt(5)) + (-3 + sqrt(56)/sqrt(7))**2).
11*sqrt(2) + 10355
Simplify (2 + 4 + (2*(sqrt(117) - -3*sqrt(117)) - 5*(-1*sqrt(117) - sqrt(117))) + -5)**2.
108*sqrt(13) + 37909
Simplify -4*((sqrt(180)*1 - (sqrt(125)*-1 + sqrt(5)))*1 + -3 + 1*(sqrt(5) + sqrt(45)) + -3)**2.
-4064 + 672*sqrt(5)
Simplify 3 + (3 + -1 + sqrt(7200) + sqrt(7200) + sqrt(7200) - -6*sqrt(7200)*-1) + -5 + 1 + (-1*sqrt(7200))**2 + sqrt(7200) + sqrt(7200).
-60*sqrt(2) + 7201
Simplify -5*(sqrt(1872) - (sqrt(1872) + 6*4*sqrt(1872)) - -6*(3 + sqrt(1872)))**2*1*2.
-6068520 + 77760*sqrt(13)
Simplify (2*sqrt(1664))/(sqrt(2) - 6*sqrt(2)*-1) - -4*(3 + sqrt(52)/sqrt(16)).
12 + 30*sqrt(13)/7
Simplify ((sqrt(35) - (-2*sqrt(245))/sqrt(7)) + (-1*sqrt(35) + sqrt(35))*-1)/(((sqrt(20)/sqrt(2) + sqrt(10))*-6)/(sqrt(2) - (sqrt(2) + -1*sqrt(2)*1))).
-sqrt(7)/4
Simplify -6*(sqrt(175)*2 + 4)*4 + 1 + 5*(sqrt(700) + sqrt(700)*2*4 + sqrt(700) + sqrt(700)).
-95 + 310*sqrt(7)
Simplify 2 + 1 + ((sqrt(475)*1 + sqrt(475))*-6 - sqrt(475))*6 + (-3 + sqrt(475) + -2*(1*sqrt(475) - sqrt(475)))**2.
-420*sqrt(19) + 487
Simplify (sqrt(36) + 1*(1*sqrt(36) - sqrt(36)))/((-2*sqrt(108))/sqrt(9)) + (-2*sqrt(900))/(sqrt(48)/sqrt(4)*5).
-5*sqrt(3)/2
Simpl | {
"pile_set_name": "DM Mathematics"
} |
from tmtmtmdmmdunmn.
1/2002
Four letters picked without replacement from {m: 1, d: 2, i: 6, w: 6, g: 1, v: 2}. Give prob of sequence dwvi.
1/510
Four letters picked without replacement from {a: 9, h: 3, g: 4, u: 4}. Give prob of sequence hauh.
3/1615
Three letters picked without replacement from {d: 1, n: 2, f: 1, l: 2, v: 1, p: 1}. What is prob of sequence dfp?
1/336
Three letters picked without replacement from bjbjdbejjbdjj. What is prob of sequence dde?
1/858
Calculate prob of sequence wwww when four letters picked without replacement from {w: 9}.
1
Three letters picked without replacement from {s: 3, r: 5, v: 3, k: 3, o: 1}. What is prob of sequence kvk?
3/455
Calculate prob of sequence cmpr when four letters picked without replacement from exxxecmxemmpepxecmrc.
1/4845
Calculate prob of sequence aa when two letters picked without replacement from {a: 10}.
1
Calculate prob of sequence yvyv when four letters picked without replacement from {v: 9, d: 2, y: 6}.
9/238
Calculate prob of sequence xxey when four letters picked without replacement from yyyxxxxexxxxxiyxxyx.
55/7752
Two letters picked without replacement from lawwwwaylyl. Give prob of sequence yy.
1/55
What is prob of sequence pip when three letters picked without replacement from ipiiiiipcic?
7/495
Four letters picked without replacement from {a: 6}. Give prob of sequence aaaa.
1
Calculate prob of sequence rah when three letters picked without replacement from {h: 9, r: 1, c: 2, a: 1}.
3/572
Three letters picked without replacement from {z: 5, l: 9}. Give prob of sequence zll.
15/91
Calculate prob of sequence is when two letters picked without replacement from qssvssqsvjsisijvssis.
3/38
What is prob of sequence cr when two letters picked without replacement from hmrrcmdxc?
1/18
Two letters picked without replacement from {g: 2, l: 6}. Give prob of sequence gg.
1/28
Two letters picked without replacement from jjufkfjuuuuu. What is prob of sequence jk?
1/44
What is prob of sequence iii when three letters picked without replacement from iiiiiiiii?
1
Calculate prob of sequence wbo when three letters picked without replacement from {b: 1, w: 2, e: 1, p: 1, n: 1, o: 1}.
1/105
Calculate prob of sequence je when two letters picked without replacement from {h: 1, e: 1, k: 1, j: 4, a: 3, y: 2}.
1/33
What is prob of sequence uh when two letters picked without replacement from kkufuuh?
1/14
What is prob of sequence jbb when three letters picked without replacement from bjbjjbjjbjjbbzj?
8/91
What is prob of sequence eeg when three letters picked without replacement from {g: 10, e: 3, z: 2}?
2/91
Four letters picked without replacement from owowoooowowwokwoo. Give prob of sequence okoo.
3/238
Three letters picked without replacement from {g: 5, u: 2}. What is prob of sequence guu?
1/21
Calculate prob of sequence ppx when three letters picked without replacement from {p: 11, x: 2}.
5/39
Three letters picked without replacement from eoeeeoow. What is prob of sequence oee?
3/28
What is prob of sequence gc when two letters picked without replacement from {g: 16, c: 2}?
16/153
Two letters picked without replacement from {o: 3, h: 4, m: 1, t: 1, f: 1, s: 5}. What is prob of sequence st?
1/42
Calculate prob of sequence be when two letters picked without replacement from bee.
1/3
Three letters picked without replacement from {j: 1, r: 1, c: 1, i: 1, m: 1}. What is prob of sequence imr?
1/60
Calculate prob of sequence dodo when four letters picked without replacement from {d: 4, o: 2}.
1/15
Two letters picked without replacement from qpqqaqqqpmap. What is prob of sequence qq?
5/22
Calculate prob of sequence ra when two letters picked without replacement from {a: 1, h: 1, u: 2, r: 1}.
1/20
What is prob of sequence jgf when three letters picked without replacement from wamjgmf?
1/210
Two letters picked without replacement from ryyyrrrrry. Give prob of sequence ry.
4/15
Four letters picked without replacement from {a: 2, h: 2, w: 1, b: 7, m: 4}. Give prob of sequence wabb.
1/520
Three letters picked without replacement from yfzffpfrnnnyf. What is prob of sequence fpy?
5/858
Three letters picked without replacement from {k: 2, h: 2, t: 1, q: 1, z: 6, e: 3}. What is prob of sequence hzt?
2/455
Two letters picked without replacement from {x: 2, b: 1, g: 4, f: 1, j: 1}. Give prob of sequence jf.
1/72
Four letters picked without replacement from hmxeubhbebxbmxemx. Give prob of sequence umhx.
1/2380
What is prob of sequence za when two letters picked without replacement from xxvxvvxmvzax?
1/132
Two letters picked without replacement from {i: 3, a: 1, s: 7, e: 1, z: 1}. What is prob of sequence ia?
1/52
Two letters picked without replacement from {s: 7}. What is prob of sequence ss?
1
Calculate prob of sequence ooy when three letters picked without replacement from {y: 3, u: 4, l: 4, o: 3}.
3/364
Three letters picked without replacement from ggogzzgzzaa. What is prob of sequence gag?
4/165
Two letters picked without replacement from {i: 6, h: 2, g: 7}. What is prob of sequence gg?
1/5
Calculate prob of sequence cmmc when four letters picked without replacement from cmmmmmcmcccm.
7/99
Calculate prob of sequence bn when two letters picked without replacement from {x: 1, n: 9, i: 3, h: 1, b: 2, g: 2}.
1/17
What is prob of sequence gg when two letters picked without replacement from {e: 12, g: 7}?
7/57
Calculate prob of sequence iic when three letters picked without replacement from vvicin.
1/60
Three letters picked without replacement from rnrnnrrrrrrr. Give prob of sequence rnr.
9/55
What is prob of sequence fu when two letters picked without replacement from ulaffueeufueefr?
8/105
What is prob of sequence tzvf when four letters picked without replacement from vfzzzfzvftzzvsvz?
1/520
Three letters picked without replacement from jhm. What is prob of sequence jmh?
1/6
What is prob of sequence ci when two letters picked without replacement from {c: 12, i: 1}?
1/13
Four letters picked without replacement from vvvvlvavavvvaaaavaa. What is prob of sequence vvla?
5/646
Three letters picked without replacement from aauuauuauuasauusasu. What is prob of sequence ass?
7/969
What is prob of sequence llv when three letters picked without replacement from {v: 6, l: 2, h: 2, t: 1, g: 7}?
1/408
What is prob of sequence fs when two letters picked without replacement from fftctlfsfl?
2/45
Three letters picked without replacement from {y: 5, w: 8, v: 2, c: 1}. Give prob of sequence vyc.
1/336
Four letters picked without replacement from wwwwnwwwwnww. Give prob of sequence nnww.
1/66
Two letters picked without replacement from sssssssss. What is prob of sequence ss?
1
Calculate prob of sequence iihh when four letters picked without replacement from {o: 1, h: 5, i: 12}.
11/306
What is prob of sequence hhpp when four letters picked without replacement from {p: 12, h: 7}?
77/1292
What is prob of sequence aaf when three letters picked without replacement from {f: 1, v: 5, a: 7}?
7/286
What is prob of sequence ie when two letters picked without replacement from {i: 13, k: 3, e: 1}?
13/272
Four letters picked without replacement from mcydmyfyadd. Give prob of sequence dayy.
1/440
What is prob of sequence vv when two letters picked without replacement from uuvvuuvvvvuuv?
7/26
Calculate prob of sequence ggh when three letters picked without replacement from {k: 10, g: 4, h: 5}.
10/969
Calculate prob of sequence jj when two letters picked without replacement from qjjqjjqjjj.
7/15
Two letters picked without replacement from yvvvvyylvyvjjvjvvvl. Give prob of sequence ll.
1/171
What is prob of sequence ac when two letters picked without replacement from cqqqcriqa?
1/36
Three letters picked without replacement from {o: 4, x: 3}. What is prob of sequence xox?
4/35
What is prob of sequence nax when three letters picked without replacement from {q: 1, a: 3, x: 2, n: 4}?
1/30
What is prob of sequence and when three letters picked without replacement from {a: 1, p: 10, d: 1, n: 2, f: 3}?
1/2040
Two letters picked without replacement from nncccncnnnnncncnnn. What is prob of sequence nn?
22/51
Three letters picked without replacement from {b: 1, h: 4, z: 1, a: 2}. What is prob of sequence zah?
1/42
What is prob of sequence ey when two letters picked | {
"pile_set_name": "DM Mathematics"
} |
+ 93*v**2 - 2*v + 11
What is the f'th term of -3555, -7107, -10667, -14235, -17811?
-4*f**2 - 3540*f - 11
What is the k'th term of 26, 68, 106, 140, 170, 196?
-2*k**2 + 48*k - 20
What is the y'th term of -800, -836, -920, -1076, -1328, -1700?
-4*y**3 - 8*y - 788
What is the c'th term of -1469, -2888, -5261, -8594, -12893, -18164?
-c**3 - 471*c**2 + c - 998
What is the f'th term of -1451801, -1451788, -1451759, -1451708, -1451629?
f**3 + 2*f**2 - 1451804
What is the t'th term of 272530, 272529, 272528, 272527, 272526?
-t + 272531
What is the x'th term of -17, 141, 403, 769, 1239, 1813?
52*x**2 + 2*x - 71
What is the a'th term of -156, -61, 22, 93, 152?
-6*a**2 + 113*a - 263
What is the n'th term of -2551823, -2551825, -2551827?
-2*n - 2551821
What is the b'th term of 2720, 2838, 2956, 3074, 3192?
118*b + 2602
What is the t'th term of -1222, -2454, -3698, -4954?
-6*t**2 - 1214*t - 2
What is the d'th term of -15, -114, -419, -1032, -2055, -3590?
-17*d**3 - d**2 + 23*d - 20
What is the t'th term of 225, 275, 341, 429, 545, 695, 885?
t**3 + 2*t**2 + 37*t + 185
What is the u'th term of 10105, 20211, 30315, 40417?
-u**2 + 10109*u - 3
What is the c'th term of -10279, -41092, -92443, -164332?
-10269*c**2 - 6*c - 4
What is the n'th term of -26521, -53049, -79577?
-26528*n + 7
What is the z'th term of -281, -715, -1435, -2441, -3733, -5311?
-143*z**2 - 5*z - 133
What is the z'th term of 13, -2, -19, -32, -35?
z**3 - 7*z**2 - z + 20
What is the x'th term of 505, 566, 681, 850, 1073, 1350?
27*x**2 - 20*x + 498
What is the f'th term of -182, -383, -730, -1223, -1862, -2647?
-73*f**2 + 18*f - 127
What is the u'th term of -13, -25, -39, -49, -49, -33, 5, 71?
u**3 - 7*u**2 + 2*u - 9
What is the l'th term of 1049, 2157, 3273, 4403, 5553, 6729?
l**3 - 2*l**2 + 1107*l - 57
What is the s'th term of 804, 674, 542, 408?
-s**2 - 127*s + 932
What is the c'th term of 1960, 2558, 3158, 3760, 4364, 4970, 5578?
c**2 + 595*c + 1364
What is the c'th term of -797, -864, -977, -1136, -1341, -1592?
-23*c**2 + 2*c - 776
What is the w'th term of -1766, -1886, -2088, -2372, -2738, -3186, -3716?
-41*w**2 + 3*w - 1728
What is the v'th term of 2634, 3245, 4264, 5691, 7526?
204*v**2 - v + 2431
What is the x'th term of -274, -595, -962, -1375, -1834?
-23*x**2 - 252*x + 1
What is the j'th term of 2271, 8834, 19695, 34860, 54335, 78126?
j**3 + 2143*j**2 + 127*j
What is the w'th term of -32, -119, -238, -389, -572, -787, -1034?
-16*w**2 - 39*w + 23
What is the q'th term of 7521, 15093, 22665, 30237?
7572*q - 51
What is the p'th term of 1945, 1956, 1975, 2002, 2037, 2080, 2131?
4*p**2 - p + 1942
What is the h'th term of 488, 2340, 5548, 10112?
678*h**2 - 182*h - 8
What is the r'th term of -65, -322, -579, -836?
-257*r + 192
What is the z'th term of 24, 106, 232, 384, 544?
-3*z**3 + 40*z**2 - 17*z + 4
What is the o'th term of -144, -159, -174?
-15*o - 129
What is the h'th term of 1202989, 1202991, 1202993?
2*h + 1202987
What is the t'th term of -18558, -18557, -18556, -18555?
t - 18559
What is the o'th term of -205, -412, -649, -928, -1261, -1660?
-2*o**3 - 3*o**2 - 184*o - 16
What is the y'th term of -62, -157, -268, -401, -562?
-y**3 - 2*y**2 - 82*y + 23
What is the q'th term of -24, 407, 1294, 2637, 4436?
228*q**2 - 253*q + 1
What is the t'th term of 9196, 18390, 27596, 36820, 46068, 55346, 64660?
t**3 + 9187*t + 8
What is the u'th term of 18301290, 18301288, 18301286?
-2*u + 18301292
What is the z'th term of -1017, -6090, -19861, -46680, -90897, -156862, -248925, -371436?
-725*z**3 + z**2 - z - 292
What is the g'th term of 1372, 5612, 12678, 22570, 35288?
1413*g**2 + g - 42
What is the q'th term of 598309, 1196624, 1794949, 2393290, 2991653, 3590044, 4188469, 4786934?
q**3 - q**2 + 598311*q - 2
What is the j'th term of 140285, 280576, 420869, 561164, 701461, 841760?
j**2 + 140288*j - 4
What is the r'th term of 113126, 113124, 113122, 113120, 113118?
-2*r + 113128
What is the q'th term of 396, 428, 408, 312, 116, -204?
-4*q**3 - 2*q**2 + 66*q + 336
What is the s'th term of 15474, 15484, 15498, 15516, 15538, 15564, 15594?
2*s**2 + 4*s + 15468
What is the d'th term of 5817, 5835, 5865, 5907?
6*d**2 + 5811
What is the p'th term of -23, -91, -283, -671, -1327?
-12*p**3 + 10*p**2 - 14*p - 7
What is the l'th term of 3012, 6024, 9040, 12060, 15084?
2*l**2 + 3006*l + 4
What is the y'th term of -401171, -1604675, -3610515, -6418691, -10029203, -14442051?
-401168*y**2 - 3
What is the n'th term of 40602, 81195, 121788, 162381, 202974?
40593*n + 9
What is the c'th term of -55, -119, -219, -355, -527?
-18*c**2 - 10*c - 27
What is the p'th term of -9643, -9652, -9661, -9670?
-9*p - 9634
What is the y'th term of 70, 24, -92, -314, -678, -1220, -1976, -2982?
-6*y**3 + y**2 - 7*y + 82
What is the s'th term of -2159, -4192, -6225, -8258, -10291, -12324?
-2033*s - 126
What is the m'th term of 5677, 5666, 5647, 5620, 5585?
-4*m**2 + m + 5680
What is the x'th term of -1876, -14945, -50404, -119449, -233276, -403081, -640060?
-1866*x**3 + x**2 - 10*x - 1
What is the r'th term of -479587, -959174, -1438761, -1918348?
-479587*r
What is the l'th term of -13622, -13598, -13578, -13568, -13574, -13602, -13658?
-l**3 + 4*l**2 + 19*l - 13644
What is the p'th term of -284, -590, -946, -1352, -1808, -2314?
-25*p**2 - 231*p - 28
What is the w'th term of 24644, 49289, 73934, 98579, 123224?
24645*w - 1
What is the v'th term of -28986, -28989, -28992, -28995, -28998?
-3*v - 28983
What is the g'th term of -838, -1603, -2368, -3133, -3898?
-765*g - 73
What is the n'th term of 441, 873, 1295, 1707, 2109, 2501?
-5*n**2 + 447*n - 1
What is the l'th term of 86, 120, 176, 254, 354, 476, 620?
11*l**2 + l + 74
What is the a'th term of 22, 104, 300, 664, 1250?
9*a**3 + 3*a**2 + 10*a
What is the f'th term of 41236, 82474, 123712, 164950?
41238*f - 2
What is the p'th term of -29, -37, -57, -83, -109, -129?
p**3 - 12*p**2 + 21*p - 39
What is the f'th term of -10599, -10581, -10561, -10539, -10515?
f**2 + 15*f - 10615
What is the j'th term of -1670, -1680, -1694, -1712, -1734, -1760, -1790?
-2*j**2 - 4*j - 1664
What is the p'th term of -1416, -2777, -4108, -5403, -6656, -7861?
p**3 + 9*p**2 - 1395*p - 31
What is the r'th term of 179, 474, 957, 1622, 2463, 3474, 4649, 5982?
-r**3 + 100*r**2 + 2*r + 78
What is the g'th term of -167762, -335527, -503292, -671057, -838822?
-167765*g + 3
What is the n'th term of -2792, -4798, -6818, -8858, -10924, -13022, -15158, -17338?
-n**3 - n**2 - 1996*n - 794
What is the k'th term of 44829, 44858, 44887, 44916, 44945?
29*k + 44800
What is the o'th term of -231458, -231460, -231462?
-2*o - 231456
What is the k'th term of 14752, 14768, 14800, 14854, 14936, 15052, 15208, 15410?
k**3 + 2*k**2 + 3*k + 14746
What is the r'th term of 399800, 399797, 399794, 399791?
-3*r + 399803
What is the x'th term of -163708, -327413, -491118, -654823?
-163705*x - 3
What is the n'th term of -211, -650, -1309, -2188, -3287?
-110*n**2 - 109*n + 8
What is the r'th term of -63197, -63178, -63159, -63140, -63121?
19*r - 63216
What is the i'th term of 589, 874, 1187, 1528, 1897, 2294?
14*i**2 + 243*i + 332
What is the j'th term of 5284, 10562, 15840, 21118, 26396, 31674?
5278*j + 6
What is the m'th term of 254858, 509703, 764548, 1019393, 1274238?
254845*m + 13
What is the v'th term of -12541, -12391, -12241?
150*v - 12691
What is the m'th term of 17, -42, -197, -496, -987, -1718?
-8*m**3 - 3*m + 28
What is the s'th term of 83, 88, 183, 440, 931, 1728, 2903, 4528?
12*s**3 - 27*s**2 + 2*s + 96
What is the n'th term of -13, 61, 163, 305, 499, 757, 1091?
2*n**3 + 2*n**2 + 54*n - 71
What is the t'th term of 3759, 3735, 3697, 3639, 3555, 3439?
-t**3 - t**2 - 14*t + 3775
What is the d'th term of -339181, -678364, -1017547, -1356730, -1695913?
-339183*d + 2
What is the p'th term of -4749, -4714, -4679, -4644, -4609, -4574?
35*p - 4784
What is the n'th term of 9, 148, 395, 762, 1261, 1904?
2*n**3 + 42*n**2 - n - 34
What is the o'th term of 2863, 11383, 25567, 45403, 70879, 101983?
-2*o**3 + 2844*o**2 + 2*o + 19
What is the c'th term of -3542, -14170, -31884, -56684?
-3543*c**2 + c
What is the y'th term of -24463, -48933, -73403?
-24470*y + 7
What is the n'th term of 784, 836, 960, 1192, 1568?
6*n**3 + 10*n + 768
What is the k'th | {
"pile_set_name": "DM Mathematics"
} |
110/39. Find the common denominator of r and -2*21/150*(-3080)/(-231).
45
Let i = -6 - -11. Suppose 60 = h + i*h. Find the common denominator of 4/h - (-73)/(-10) and 99/4.
20
Let b(y) = 8*y**2 + 18*y - 66. Let u(h) = -h - 2. What is the smallest common multiple of b(3) and u(-8)?
60
Let s = 149 - -1428. Let x = 6347/4 - s. Find the common denominator of x and 37/4.
4
Suppose 0 = -4*r + 3*r - 2. Let n = 18 - r. Calculate the smallest common multiple of 2 and n.
20
Let s = -4 + 7. Let o = -4162 + 4172. What is the smallest common multiple of o and s?
30
Suppose -5*v + 0*r + 5*r = 55, -r - 4 = 0. What is the least common multiple of -2 - v/9 - (-50)/6 and 4?
8
Suppose 0 = 5*z + 36 + 9. Calculate the common denominator of ((-285)/40)/(z/(-30)) and 43/16.
16
Suppose -2*y + 5 + 1 = -2*l, 2*y = 10. Suppose -84 = -3*p + 6. Suppose -p = -j - 2*j. What is the lowest common multiple of l and j?
10
Suppose -2*g + 27 + 13 = 0. Suppose -2*b - b = 2*t - 14, -3*b + t + g = 0. What is the least common multiple of b and 4?
12
Let x = -172837/27 + 6400. Find the common denominator of x and -37/144.
432
Find the common denominator of 10083/1260 + (-17 - -9) and -17/189.
3780
Let u be (-4)/(-10) + 234/15. Suppose 1 = -5*h + u. What is the smallest common multiple of (9 + (-152)/16)*(-16 - 0) and h?
24
Suppose -3*v - 691 = 2*d, 2*v - 3*d = -752 + 274. Suppose 3*n = 4*n - 54. Find the common denominator of 23/16 and v/144 + 12/n.
48
Let f = -8129/8 + 1019. Let q = 8885 + -17425/2. Let i = -177 + q. What is the common denominator of f and i?
8
Let q = -19075 + 229091/12. Let h = q - 16. Calculate the common denominator of h and 83/21.
84
Let c = -49 + 26. Let s = 69 + -102. Calculate the common denominator of s and 4/(20/c) + 2.
5
Find the common denominator of -43/202 and (-94)/10 + (-9)/(-30)*10.
1010
Let m be ((-9353718)/(-420))/9 + (-4)/(-10). Let d = -2467 + m. Find the common denominator of 67/14 and d.
14
Let k = 1324 + -29047/22. Let y(h) = 378*h**3 + h**2 - h - 1. Let q be y(-3). Let z = 122441/12 + q. What is the common denominator of z and k?
132
Suppose -5 = -p, -3*p = 2*r + 659 + 7178. Let c = -23407/6 - r. Find the common denominator of (-6)/(-80)*125/2 and c.
48
Let b be 4/10 + 78/5. Suppose -t + 4*x = b, 7 - 2 = -2*t - x. What is the common denominator of 1/12 and 4 - (-434)/(-44) - t?
132
Let w(p) = -p**2 + 6*p + 6. Suppose -4 = -2*f + 14. Let j be w(f). Let l = j + 37. Calculate the lowest common multiple of l and 6.
48
Suppose -3*j + 4*n = -5, -j + 2*j + n - 4 = 0. Suppose -j*l + 21 = -15. Let i = 4 - -4. What is the lowest common multiple of l and i?
24
Calculate the lowest common multiple of 14/(-119) + (-2042)/(-17) and 3.
120
Let x be 4 + 3 + -6 + 132. Find the common denominator of 6/(1 + (-19)/(-13)) and 3 + x/(-22) - 0.
176
Suppose -5*s + 107 = 2*t, -275 = -5*t - 7*s + 2*s. Let o = t - 88. Let m = -26 - o. What is the least common multiple of 8 and m?
24
Let i(k) = 2*k - 25. Let j be i(11). Calculate the lowest common multiple of 6 and (-60)/(-9) + 2/j.
6
Let v(r) = r**2 + 17*r - 8. Calculate the smallest common multiple of v(-20) and 13.
52
Let p = 37957249595/117998 - 39565274/123. Let n = 3/4268 - -8487/6141652. Let d = p + n. What is the common denominator of 113/10 and d?
30
Let r = -1007/15 - -67. Calculate the common denominator of r and -50/7.
105
Let j = -6257 - -75029/12. Let r = 281915271530 + -45565965336052351/161630. Let l = r - 2/16163. Find the common denominator of j and l.
60
What is the common denominator of 121/18 and (-180640)/(-248000) - (-4)/(-5)?
13950
Let r(x) = x**3 + 21*x**2 + 23*x + 65. Calculate the smallest common multiple of r(-20) and 169.
845
Let q = 6005359/40 + -772198/5. Let d = q + 4316. What is the common denominator of 41/18 and d?
72
Suppose 0 = -0*p - 2*p + 26. Let o = -20 + 34. Suppose -5*x - 4*y + 22 = -2*y, -4*x + 2*y = -o. Calculate the smallest common multiple of p and x.
52
Let z = 5989 + -36085/6. Let y = 41257/29295 + -1/1085. Calculate the common denominator of z and y.
54
Let d = -1091 + 1111. Calculate the smallest common multiple of d and 96.
480
Let g = 241987/74 + -3270. Let f = -2513 + 9983/4. Calculate the common denominator of g and f.
148
Let l(z) = 4 + 4 - z**3 + z - 6. What is the lowest common multiple of l(0) and 141/6 + (-36)/8 + 5?
24
What is the common denominator of ((-140)/735)/(11/(66/20)) and (-1)/3 - (-939)/90?
70
Suppose -2663 - 105 = -8*r. What is the lowest common multiple of 8 and r?
1384
Let r(x) = x**3 + 8*x**2 + 3*x. Let l be r(-8). Let g = l + 35. What is the least common multiple of 5 and g?
55
Calculate the common denominator of -61/6 and -4 + ((-1)/4 - 30693/(-7748)).
894
Suppose -49*h + 110 = -47*h. Let d = 66 - h. What is the least common multiple of d and 3?
33
Suppose 4*v - 80 = 2*c, 3*v - 4*c - 50 = -0*c. Let f(b) = -b**2 + 9*b + 2. Let w be f(8). Let h = w - 4. Calculate the lowest common multiple of v and h.
66
Let o = -16326 + 261129/16. Let r = 20 + -8. Calculate the common denominator of 31/r*3/(-4) and o.
16
Suppose 6 = -2*t + 2. Let c = 6/175 - -10289/1050. Find the common denominator of c and 753/108 - t/(-9).
12
Let f = 1006 - 394. Calculate the lowest common multiple of f and 16.
2448
Suppose -5*w + 5*r + 19 = -w, 4 = 4*r. What is the least common multiple of w and 22?
66
Suppose 61 = 22*l - 137. What is the least common multiple of (4/(-6))/(4/(-18)) and l?
9
Let t = -15271 - -229349/15. Let l = 2737/120 - t. What is the common denominator of 63/10 and l?
40
Let h = -119 + 220. What is the common denominator of h*(1/40 - 0) and 91/18?
360
Let x(h) be the first derivative of -h**2/2 + 7*h - 1. Let c be x(6). What is the smallest common multiple of (4 - 0) + (c - 1) and 2?
4
Let f = 152 + 28. Calculate the lowest common multiple of 20 and f.
180
What is the common denominator of -29/60 and ((-28)/(-21))/(2/42*-10)?
60
Suppose -4*q - 8 = -24. Suppose q*p + 0*l - 46 = 2*l, 4*p = 4*l + 44. What is the lowest common multiple of p and 30?
60
Let h be ((-19)/(-8))/((-1)/386). Let v = h + 922. What is the common denominator of -53/8 and v?
8
Let n = -66159/2063173 + 26/821. Let m = 103027/15078 - n. Let c = 11475/8 - 1427. Find the common denominator of c and m.
24
Suppose 9*a - t + 74 = 14*a, -5*a = -5*t - 50. What is the least common multiple of 338 and a?
2366
Let a(d) = d**2 - d - 12. Let u = 23 - 11. Suppose 2*w - w = -h + 16, -w - 2*h + u = 0. What is the lowest common multiple of a(6) and w?
180
Let m = -54083911/306 - -176745. What is the common denominator of m and -57/68?
612
Suppose 116 = 4*v - 124. Let x = -57 + v. Calculate the smallest common multiple of x and 18.
18
Let l = 27 + -17. Suppose -2*i + 15*i = 208. Calculate the lowest common multiple of l and i.
80
Let u = 108319/10 - 10821. Let j = 13/632 - 10911/315368. Let k = j + -36315/7984. What is the common denominator of k and u?
80
Let q(n) be the first derivative of n**3/3 - 7*n**2/2 + 3*n - 5. Let v be q(7). Suppose 0 = -v*s - 4 + 16. What is the least common multiple of s and 10?
20
Let c be (1 - 82/(-6))*(-9)/(-6). Let q = 25 - c. What is the smallest common multiple of 10 and q?
30
Suppose 4*f - 2*l = -5*l + 713, -3*l + 349 = 2*f. What is the smallest common multiple of 2 and f?
182
Let y be (9/(-36))/((-10)/(-163)). Let q = y + 29/20. Calculate the common denominator of q and -121/10.
40
Let o(b) = 21*b - 185. Calculate the lowest common multiple of 12 and o(9).
12
Suppose -3*w + 8*w = -9460. Let z be (9/(-3) - 0) + 67224/(-36). Let y = w - z. What is the common denominator of y and -77/2?
6
Let n be 0*(-4 - -3)*-1 + 75. Find the common denominator of 43*(220/n - 3) and 14/33.
165
Let g(o) = -7*o - o - o + 11*o**2 + 6*o. Calculate the least common multiple of g(1) and 8.
8
Let r = -199 - -255. Calculate the least common multiple of r and 70.
280
Suppose -4*n - 306 = 262. Let s = 201 + n. Calculate the common denominator of 48/5 and (s/6)/(6/(-9)).
20
Suppose 2*x - 12 = -2*x. Suppose x*f = -166 - 851. What is the common denominator of 79/10 and (-2 - -1) + f/(-66)?
110
Suppose f - 18 - 11 = 0. Let u = f + -25. Calculate the least common multiple of u and 9/((-1 + -1)/(-2)).
36
Let k = 18248301/39790 - 80832/173. Let s = -81/23 - k. Calculate the common denominator of s an | {
"pile_set_name": "DM Mathematics"
} |
. Calculate o.
-991
Determine x so that -3*x**4 - 294*x**3 + 1848*x**2 - 2496*x = 0.
-104, 0, 2, 4
Let -5*f**2 - 400*f - 395 = 0. What is f?
-79, -1
Solve -4*m**2 + 40*m + 44 = 0 for m.
-1, 11
Let 3*r**4/5 + 234*r**3/5 + 6183*r**2/5 + 12636*r + 43740 = 0. Calculate r.
-30, -9
Determine y so that -7*y**4/5 - 24*y**3/5 + 54*y**2/5 + 216*y/5 + 81/5 = 0.
-3, -3/7, 3
Factor 10*f**2/7 + 68*f/7 + 48/7.
2*(f + 6)*(5*f + 4)/7
Factor z**4/7 - 34*z**3/7 + 108*z**2/7 + 360*z/7.
z*(z - 30)*(z - 6)*(z + 2)/7
Factor -5*l**4 + 130*l**3 - 125*l**2.
-5*l**2*(l - 25)*(l - 1)
Factor -5*d**2 - 65*d - 150.
-5*(d + 3)*(d + 10)
What is t in -2*t**2/3 + 22*t/3 + 140 = 0?
-10, 21
Solve 3*g**5/2 + 15*g**4 + 36*g**3 - 24*g**2 - 168*g - 144 = 0.
-6, -2, 2
Factor -2*h**4/13 - 12*h**3/13 - 16*h**2/13.
-2*h**2*(h + 2)*(h + 4)/13
Factor 3*n**5 - 27*n**4 + 39*n**3 + 135*n**2 - 150*n.
3*n*(n - 5)**2*(n - 1)*(n + 2)
What is a in 3*a**3 + 33*a**2 - 180*a = 0?
-15, 0, 4
Solve -5*p**5 - 290*p**4 + 635*p**3 + 2120*p**2 + 1200*p = 0.
-60, -1, 0, 4
Factor -2*f**2/9 - 130*f/9 - 124/3.
-2*(f + 3)*(f + 62)/9
Factor -9*u**2 - 1455*u + 486.
-3*(u + 162)*(3*u - 1)
Solve 5*s**3 + 305*s**2/2 + 60*s - 450 = 0.
-30, -2, 3/2
Factor -b**5/3 + b**4/3 + 5*b**3/3 - b**2/3 - 8*b/3 - 4/3.
-(b - 2)**2*(b + 1)**3/3
Factor 5*o**2 + 80*o + 300.
5*(o + 6)*(o + 10)
Suppose 4*r**3/3 - 28*r + 80/3 = 0. What is r?
-5, 1, 4
Factor -x**2/8 - 17*x/2 + 36.
-(x - 4)*(x + 72)/8
Solve -6*o**2 - 62*o + 44 = 0 for o.
-11, 2/3
Find u such that 8*u**5/19 - 10*u**4/19 - 14*u**3/19 + 4*u**2/19 = 0.
-1, 0, 1/4, 2
Factor q**3 - 3059*q**2 - 6121*q - 3061.
(q - 3061)*(q + 1)**2
Factor -5*o**3 - 90*o**2 - 480*o - 800.
-5*(o + 4)**2*(o + 10)
Factor 2*j**3/5 + 64*j**2/5 - 56*j + 288/5.
2*(j - 2)**2*(j + 36)/5
Find q, given that 2*q**5/5 - 21*q**4/5 + 58*q**3/5 - 68*q**2/5 + 36*q/5 - 7/5 = 0.
1/2, 1, 7
Factor 2*j**4 + 220*j**3 + 214*j**2 - 436*j.
2*j*(j - 1)*(j + 2)*(j + 109)
Find s, given that -3*s**5 - 9*s**4 + 24*s**3 + 36*s**2 - 48*s = 0.
-4, -2, 0, 1, 2
Factor -5*u**2 + 55*u.
-5*u*(u - 11)
Solve 4032*l**4 - 480*l**3 + 100*l**2/7 = 0.
0, 5/84
Factor t**2/4 + 15*t/2 + 81/4.
(t + 3)*(t + 27)/4
Let -68*c**2 - 1488*c + 176 = 0. What is c?
-22, 2/17
Let 3*z**4 - 162*z**3 + 2487*z**2 - 8100*z + 7500 = 0. What is z?
2, 25
Determine n, given that -n**4/4 - 3*n**3 + n**2 + 12*n = 0.
-12, -2, 0, 2
Solve -9*v**3/5 + 21*v**2/5 + 108*v/5 + 12 = 0 for v.
-2, -2/3, 5
Determine z so that 6*z**2/7 + 3*z - 12/7 = 0.
-4, 1/2
Let p**5/2 - 5*p**4/2 - 12*p**3 - 2*p**2 + 16*p = 0. What is p?
-2, 0, 1, 8
Determine q so that q**5/3 - q**4/3 - 101*q**3 - 765*q**2 - 1134*q = 0.
-9, -2, 0, 21
Factor -4*s**3 + 6768*s**2 - 3817152*s + 717624576.
-4*(s - 564)**3
Factor g**2/3 + 14*g + 80/3.
(g + 2)*(g + 40)/3
Factor -3*o**4 - 30*o**3 + 9*o**2 + 96*o + 60.
-3*(o - 2)*(o + 1)**2*(o + 10)
Determine p, given that p**4/6 + 3*p**3 + 59*p**2/6 + 7*p = 0.
-14, -3, -1, 0
Solve -20*x**4 - 96*x**3 + 60*x**2 + 472*x - 96 = 0 for x.
-4, -3, 1/5, 2
Factor -3*g**3 + 813*g**2 - 54672*g - 55488.
-3*(g - 136)**2*(g + 1)
Factor -5*p**3 + 635*p**2 + 5320*p + 10800.
-5*(p - 135)*(p + 4)**2
Factor -4*l**2 + 64.
-4*(l - 4)*(l + 4)
Solve 3*p**5 - 18*p**4 - 21*p**3 = 0.
-1, 0, 7
Factor -m**3/3 + 190*m**2/3 - 377*m/3 + 188/3.
-(m - 188)*(m - 1)**2/3
Factor 25*u**2 + 2015*u - 810.
5*(u + 81)*(5*u - 2)
Find t such that 13*t**2 + 63*t - 10 = 0.
-5, 2/13
Suppose 2*f**2/5 + 22*f/5 + 36/5 = 0. What is f?
-9, -2
What is j in 2*j**4 - 23*j**3 + 64*j**2 - 67*j + 24 = 0?
1, 3/2, 8
Factor -3*w**2 - 207*w - 204.
-3*(w + 1)*(w + 68)
Factor 2*m**3/7 + 156*m**2/7 + 582*m/7 - 740/7.
2*(m - 1)*(m + 5)*(m + 74)/7
Find f such that -f**2/5 - 6*f/5 - 9/5 = 0.
-3
Find o, given that -o**3 + 35*o**2 + 1417*o + 10309 = 0.
-13, 61
Factor 2*x**4/7 + 74*x**3/7 + 144*x**2 + 6016*x/7 + 13312/7.
2*(x + 8)**3*(x + 13)/7
Find q, given that 5*q**3 - 14745*q**2 + 14494335*q - 4749310435 = 0.
983
Factor -2*i**3 - 28*i**2 - 22*i + 52.
-2*(i - 1)*(i + 2)*(i + 13)
What is n in -2*n**3 + 6*n**2 - 4*n = 0?
0, 1, 2
Factor h**5/2 - h**4/2 - 7*h**3/2 + 13*h**2/2 - 3*h.
h*(h - 2)*(h - 1)**2*(h + 3)/2
Suppose -2*b**5/15 + 46*b**4/15 - 94*b**3/5 + 74*b**2/3 + 140*b/3 = 0. Calculate b.
-1, 0, 5, 14
Factor -o**3 + 42*o**2 - 431*o + 390.
-(o - 26)*(o - 15)*(o - 1)
Factor k**2/6 + 3*k + 16/3.
(k + 2)*(k + 16)/6
Solve -2498*o**3/15 + 4162*o**2/5 + 15008*o/15 + 8/5 = 0 for o.
-1, -2/1249, 6
Factor 4*y**3/11 + 26*y**2/11 - 86*y/11 + 36/11.
2*(y - 2)*(y + 9)*(2*y - 1)/11
What is g in -18*g**5 - 104*g**4 - 192*g**3 - 132*g**2 - 14*g + 12 = 0?
-3, -1, 2/9
Determine t, given that -2*t**4 + 106*t**3 - 86*t**2 - 954*t + 936 = 0.
-3, 1, 3, 52
Let -3*j**5/7 + 12*j**4/7 + 9*j**3/7 - 54*j**2/7 = 0. What is j?
-2, 0, 3
Solve -2*a**5/7 - 6*a**4/7 + 44*a**3/7 + 12*a**2 - 234*a/7 - 270/7 = 0 for a.
-5, -3, -1, 3
Factor -2*u**3/9 - 10*u**2/3 + 32*u/9.
-2*u*(u - 1)*(u + 16)/9
Let 5*w**2 + 3855*w + 3850 = 0. What is w?
-770, -1
Suppose 12*l**3/5 + 40*l**2 - 284*l/5 + 72/5 = 0. Calculate l.
-18, 1/3, 1
Factor 3*t**3 - 42*t**2 + 72*t.
3*t*(t - 12)*(t - 2)
Solve -2*b**4/13 - 2*b**3/13 + 4*b**2/13 = 0.
-2, 0, 1
Let -3*i**5/2 - 33*i**4/2 - 99*i**3/2 - 111*i**2/2 - 21*i = 0. Calculate i.
-7, -2, -1, 0
Find t, given that -3*t**5/2 + 15*t**4 + 57*t**3/2 - 114*t**2 - 198*t = 0.
-2, 0, 3, 11
Factor -y**2/9 - 109*y - 980/9.
-(y + 1)*(y + 980)/9
Solve -9*n**5/2 - 321*n**4/2 + 123*n**3/2 + 537*n**2/2 - 57*n - 108 = 0.
-36, -1, -2/3, 1
Factor u**2/2 + u.
u*(u + 2)/2
Factor -m**2 - 88*m.
-m*(m + 88)
Factor -o**4 + 68*o**3 - 261*o**2 + 322*o - 128.
-(o - 64)*(o - 2)*(o - 1)**2
Suppose 3*k**3 + 462*k**2 + 1365*k + 906 = 0. What is k?
-151, -2, -1
Factor -2*v**2 - 2024*v.
-2*v*(v + 1012)
Factor 2*z**3/9 + 10*z**2/9 + 16*z/9 + 8/9.
2*(z + 1)*(z + 2)**2/9
Determine b, given that 20*b**3 - 95*b**2 + 95*b + 30 = 0.
-1/4, 2, 3
Factor n**2 - 1753*n.
n*(n - 1753)
Solve -2*o**3/3 + 4*o**2/3 + 14*o/3 + 8/3 = 0 for o.
-1, 4
Let -4*i**5 - 28*i**4 - 36*i**3 + 92*i**2 + 200*i + 96 = 0. Calculate i.
-4, -3, -1, 2
Determine j, given that -j**2/4 - 77*j/2 - 745/4 = 0.
-149, -5
Factor 5*u**2/4 - 75*u/4 - 95.
5*(u - 19)*(u + 4)/4
Factor u**3/2 - 27*u**2/2 + 135*u/2 - 189/2.
(u - 21)*(u - 3)**2/2
What is m in -2*m**5/3 - 4*m**4/3 + 2*m**3 = 0?
-3, 0, 1
Factor -2*f**2/9 + 352*f - 139392.
-2*(f - 792)**2/9
Suppose 2*b**2/3 + 12*b + 34/3 = 0. What is b?
-17, -1
Factor -5*x**2 + 170*x + 2760.
-5*(x - 46)*(x + 12)
Suppose -3*b**2 - 15*b + 18 = 0. Calculate b.
-6, 1
Let -25*r**4 - 790*r**3 - 3980*r**2 + 13720*r - 4800 = 0. Calculate r.
-24, -10, 2/5, 2
Find q, given that -q**4/2 - q**3 - q**2/2 = 0.
-1, 0
Let d**2/3 + 11*d + 30 = 0. Calculate d.
-30, -3
Suppose 4*q**5/5 + 74*q**4/5 + 216*q**3/5 + 74*q**2/5 - 248*q/5 - 24 = 0. Calculate q.
-15, -2, -1/2, 1
Solve 12*k**5/5 + 59*k**4/5 - 86*k**3/5 - 41*k**2/5 + 44*k/5 + 12/5 = 0.
-6, -2/3, -1/4, 1
Factor 3*t**3/4 - 20385*t**2/4 + 46172025*t/4 - 34859878875/4.
3*(t - 2265)**3/4
Factor -6*z**2 + 21*z - 9.
-3*(z - 3)*(2*z - 1)
Suppose 4*l**3/3 + 8668*l**2/3 + 1566740*l + 1563852 = 0. Calculate l.
-1083, -1
Factor -n**2/6 + 7*n/3 - 49/6.
-(n - 7)**2/6
Solve -2*x**2 + 446*x = 0.
0, 223
Factor 25*f**2/7 - 60*f/7 + 36/7.
(5*f - 6)**2/7
Find w such that -3*w**2/2 + 1725*w/2 - 1719 = 0.
2, 573
Factor 2*x**2/3 - 5840*x/3 - 3896.
2*(x - 2922)*(x + 2)/3
Factor -25*p**4 - 305*p**3 - 60*p**2.
-5*p**2*(p + 12)*(5*p + 1)
Determine k so that 14*k**5/5 - 248*k**4/5 + 54*k**3/5 + 9108*k**2/5 + 20736*k/5 + 5184/5 = 0.
-3, -2/7, 12
Determine b, given that b**5/4 + b**4/4 - 7*b**3/4 - 13*b**2/4 - 3*b/2 = 0.
-2, -1, 0, 3
Suppose -c**5 + 4*c**4 - 6*c**3 + 4*c**2 - c = 0. What is c?
0, 1
Factor x**2/4 - 2*x - 5.
(x - 10)*(x + 2)/4
Determine k, given that -k**2/3 + 134*k/3 - 133/3 = 0.
1, 133
Factor m**3/4 - 11*m**2 + 155*m/4 + 50.
(m - 40)*(m - 5)*(m + 1)/4
Solve -2*o**2 + 4362*o - 4360 = 0.
1, 2180
Solve -4*z**4 - 396*z**3 - 1536*z**2 - 1520*z = 0 for z.
-95, -2, 0
Determine h, given that -5*h**5 + 30*h**4 + 495*h**3 - 520*h**2 = 0.
-8, 0, 1, 13
Suppose 2*r**4/7 + 10*r**3/7 + 10*r**2/7 - 10*r/7 - 12/7 = 0. What is r?
-3, -2, -1, 1
Suppose c**2 - 22*c + 21 = 0. What is c?
1, 21
Find z, given that -8*z**3 + 6*z**2 = 0.
0, 3/4
Suppose u**5 - 7*u**4 + 15*u**3 - 9*u**2 = | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence nn when two letters picked without replacement from annnanngngggngnn.
3/10
Calculate prob of sequence qq when two letters picked without replacement from {q: 12, x: 3}.
22/35
Three letters picked without replacement from zzzrrrrrrzzrzzrr. Give prob of sequence rrr.
3/20
Two letters picked without replacement from jxjjrrjjyjjjjj. What is prob of sequence rj?
10/91
Calculate prob of sequence ssq when three letters picked without replacement from bsbsqbbssbq.
4/165
Two letters picked without replacement from {s: 1, y: 4, j: 1, h: 1, o: 1}. What is prob of sequence so?
1/56
Calculate prob of sequence pk when two letters picked without replacement from {m: 3, t: 4, h: 1, j: 8, p: 2, k: 2}.
1/95
What is prob of sequence oodd when four letters picked without replacement from rodcorroodododdrro?
7/612
Calculate prob of sequence zzv when three letters picked without replacement from {v: 2, z: 5, w: 1, u: 1}.
5/63
Two letters picked without replacement from {z: 10, d: 4, u: 5}. Give prob of sequence zd.
20/171
Four letters picked without replacement from uuef. What is prob of sequence euuf?
1/12
Calculate prob of sequence ooa when three letters picked without replacement from xoxxxoxxxoaxxxx.
1/455
Two letters picked without replacement from cqbwgcy. What is prob of sequence wq?
1/42
What is prob of sequence jl when two letters picked without replacement from jvjlljjljllvjljjjl?
7/34
Two letters picked without replacement from unuhz. Give prob of sequence nz.
1/20
Three letters picked without replacement from jhkhjhjjkkcnjpk. What is prob of sequence pnj?
1/546
What is prob of sequence llxx when four letters picked without replacement from {l: 3, x: 1, y: 1}?
0
Two letters picked without replacement from ppksksss. Give prob of sequence pk.
1/14
Two letters picked without replacement from ejcuuudjucuueuuecuce. Give prob of sequence ej.
2/95
Calculate prob of sequence nnc when three letters picked without replacement from ntncn.
1/10
What is prob of sequence ww when two letters picked without replacement from {k: 7, o: 3, w: 3}?
1/26
What is prob of sequence xxx when three letters picked without replacement from {m: 1, b: 1, q: 5, a: 2, x: 1}?
0
Four letters picked without replacement from {e: 3, v: 2, d: 7, c: 7, x: 1}. What is prob of sequence vxdc?
49/58140
Two letters picked without replacement from kjtjxjqjjqq. Give prob of sequence qj.
3/22
Calculate prob of sequence uv when two letters picked without replacement from icoviubv.
1/28
Two letters picked without replacement from {b: 3, k: 1}. What is prob of sequence bk?
1/4
What is prob of sequence st when two letters picked without replacement from issitssisssissssiisi?
3/95
Calculate prob of sequence bh when two letters picked without replacement from {t: 2, f: 1, h: 4, a: 1, b: 10}.
20/153
Calculate prob of sequence ju when two letters picked without replacement from fjummf.
1/30
Four letters picked without replacement from {r: 4, g: 4, k: 1, y: 1, j: 1}. What is prob of sequence rjyr?
1/660
Two letters picked without replacement from {o: 3, m: 2, k: 2, s: 3, q: 1, e: 1}. Give prob of sequence sq.
1/44
Calculate prob of sequence ithi when four letters picked without replacement from hhhihhhhhhhhithhh.
1/2040
Three letters picked without replacement from {f: 1, e: 4, j: 2, l: 4}. Give prob of sequence efj.
4/495
Calculate prob of sequence vv when two letters picked without replacement from pvppvpp.
1/21
Calculate prob of sequence mmxg when four letters picked without replacement from mxmxxgmgggxx.
1/99
What is prob of sequence ig when two letters picked without replacement from {i: 4, c: 3, r: 1, g: 6}?
12/91
Three letters picked without replacement from rwwwwrrwwr. What is prob of sequence www?
1/6
Four letters picked without replacement from zffzffizcf. Give prob of sequence ffzz.
1/42
Two letters picked without replacement from ppppppppapppp. What is prob of sequence ap?
1/13
Four letters picked without replacement from {i: 3, w: 3}. What is prob of sequence wiww?
1/20
Two letters picked without replacement from {q: 2, c: 1}. What is prob of sequence qc?
1/3
Three letters picked without replacement from uvvlvlvlvhrv. What is prob of sequence rll?
1/220
What is prob of sequence ehh when three letters picked without replacement from {h: 5, e: 7}?
7/66
Two letters picked without replacement from {x: 5, v: 4, p: 3, z: 1, u: 5}. What is prob of sequence px?
5/102
Calculate prob of sequence kcck when four letters picked without replacement from {x: 1, k: 2, c: 4}.
1/35
What is prob of sequence ep when two letters picked without replacement from {v: 2, k: 1, s: 1, e: 4, p: 2}?
4/45
Calculate prob of sequence hhg when three letters picked without replacement from wwgwhhwgggwww.
2/429
Two letters picked without replacement from {d: 1, u: 1, a: 1, z: 2, s: 1, v: 1}. What is prob of sequence zu?
1/21
Calculate prob of sequence ttoo when four letters picked without replacement from ztirbttbootb.
1/495
Four letters picked without replacement from {x: 9, e: 9}. What is prob of sequence eeex?
21/340
Calculate prob of sequence vjjn when four letters picked without replacement from {v: 4, c: 2, j: 1, n: 1}.
0
Three letters picked without replacement from kkckh. Give prob of sequence cck.
0
Calculate prob of sequence hevt when four letters picked without replacement from tvmmthevvvvvvvttv.
3/4760
Two letters picked without replacement from qpaajtkttaak. Give prob of sequence at.
1/11
Two letters picked without replacement from {l: 1, t: 2, i: 1}. Give prob of sequence tl.
1/6
What is prob of sequence ds when two letters picked without replacement from {d: 2, s: 1}?
1/3
Calculate prob of sequence gzb when three letters picked without replacement from zmzpzpgszbgsgbzm.
1/112
Calculate prob of sequence vw when two letters picked without replacement from hvwjv.
1/10
Two letters picked without replacement from iiiiiiiiiriiiiiliii. Give prob of sequence li.
17/342
Calculate prob of sequence drrr when four letters picked without replacement from rdrrdrr.
1/7
Two letters picked without replacement from sfxkfakkxssasxs. What is prob of sequence as?
1/21
Three letters picked without replacement from {l: 1, o: 3, j: 1, w: 1, m: 1, q: 5}. What is prob of sequence mqq?
1/66
What is prob of sequence hzh when three letters picked without replacement from zanzzhh?
1/35
Two letters picked without replacement from eeessdddd. What is prob of sequence de?
1/6
Two letters picked without replacement from {l: 1, i: 1, d: 1, e: 1, q: 3}. What is prob of sequence il?
1/42
Calculate prob of sequence raur when four letters picked without replacement from hruhrwhrrrwuauhu.
1/546
Calculate prob of sequence wo when two letters picked without replacement from qqroqxqqqqrjwroq.
1/120
Four letters picked without replacement from ukzz. What is prob of sequence kuzz?
1/12
Calculate prob of sequence vh when two letters picked without replacement from vvvvhhvvhvvvvv.
33/182
Three letters picked without replacement from etbbzetbuubbttetbbub. What is prob of sequence bzb?
7/855
Two letters picked without replacement from luuuhzpuuqpqq. Give prob of sequence zh.
1/156
What is prob of sequence cq when two letters picked without replacement from {j: 8, q: 5, c: 3}?
1/16
Two letters picked without replacement from {r: 10, g: 1, h: 5, f: 4}. Give prob of sequence gh.
1/76
Calculate prob of sequence zz when two letters picked without replacement from {z: 2, l: 3, x: 1, h: 6}.
1/66
Three letters picked without replacement from {p: 3, j: 3, d: 2, r: 5}. Give prob of sequence dpd.
1/286
Calculate prob of sequence av when two letters picked without replacement from vaa.
1/3
Calculate prob of sequence owo when three letters picked without replacement from owooooooowwo.
9/55
What is prob of sequence qq when two letters picked without replacement from {n: 1, e: 1, v: 1, a: 1, q: 1}?
0
Two letters picked without replacement from {s: 1, x: 1, m: 2, a: 1}. Give prob of sequence sx.
1/20
Two letters picked without replacement from {s: 7, w: 2, r: 2, e: 8}. Give prob of sequence es.
28/171
Calculate prob of sequence my when two letters picked without replacement from {l: 4, y: 12, m: 4}.
12/95
What is prob of sequence mq when two letters picked wit | {
"pile_set_name": "DM Mathematics"
} |
388 + 1167 - 389. Let s(r) = -3*o(r) - z(r). Give s(3).
6
Let t(a) = -199*a**2 + 80*a**2 - 28*a - 9 + 116*a**2. What is t(-9)?
0
Let i be 1/(20/(-5)) + 2793/(-12). Let u = 227 + i. Let k(d) = -3*d - 16. Let x(q) = q + 5. Let n(b) = -3*k(b) - 8*x(b). Calculate n(u).
2
Let n = 78 + -72. Let c(q) = q**2 - 9*q + 2. What is c(n)?
-16
Let b(r) be the second derivative of 7*r**3/6 - 3*r**2/2 + 13*r. Let f(i) = -2*i + 0*i - 3 + 8*i. Let p(o) = -4*b(o) + 5*f(o). Calculate p(3).
3
Let w be (-6)/(-14) - (276/(-42) - -4). Let h be (w + -4 - -2)*(-15)/5. Let n(l) = l + 3. Let x(j) = -2*j - 6. Let g(t) = -5*n(t) - 3*x(t). Give g(h).
0
Suppose c - 292 = -3*c. Let v = -65 + c. Let n(j) = j**3 - 8*j**2 - 1. Give n(v).
-1
Let u(m) = -m - 4. Let r be (3 - 4)*(3 - 3). Let f be u(r). Let y(c) = c**2 + 10*c + 6. Let j(q) = -q**2 - 11*q - 7. Let x(b) = -4*j(b) - 5*y(b). Give x(f).
6
Let k(v) = 2*v**2 + 8*v - 5 - v + 10. Let g be ((-390)/(-312))/(1/(-4)). Determine k(g).
20
Suppose 9 - 19 = -2*j. Let f(c) = -15*c**3 + 16*c**3 + 4*c - j*c. Calculate f(0).
0
Let s(v) = 5*v**3 - 7*v**2 - 15*v + 8. Let g(u) = -4*u**3 + 7*u**2 + 13*u - 8. Let q(c) = -6*g(c) - 5*s(c). Suppose -29 = 5*o + 1. Give q(o).
-10
Let y(h) be the first derivative of h**2 - 31*h - 17. Give y(17).
3
Let m(s) be the third derivative of s**5/60 - s**4/24 + s**3/3 + 432*s**2. What is m(-5)?
32
Let p(b) = 6*b**2 - b. Suppose 4*z + 4*v = -0*v - 12, -v - 3 = -2*z. Suppose 2*a - 3 = -z*d - d, -d = 5*a - 6. Calculate p(a).
5
Suppose -3*h = -4*a - 8, 3*a + 34 = 3*h + 28. Let l(x) = 11*x + 1. Calculate l(a).
-21
Suppose -2*r + 3*v = 1, 0 + 5 = v. Let h be (-2)/(-8) + (-21)/(-12). Let z(c) = -c**2 + h + r + 5*c - 7. Give z(4).
6
Let o(x) = -x**2 - 1. Let b(s) = 6*s**2 + 6*s + 10. Let t(w) = -b(w) - 5*o(w). What is t(-6)?
-5
Let d = -220 - -220. Let w(u) = -2*u + 30. Give w(d).
30
Let o be (69/46)/((-2)/(-4)). Let u(d) = -2*d + 14*d**2 - 9*d**2 - d**o + 0*d + 1 - 2*d. Calculate u(4).
1
Let s(u) be the second derivative of u**6/120 - u**5/30 + u**2/2 + 2*u. Let k(w) be the first derivative of s(w). Let j = -434 - -436. Give k(j).
0
Suppose 48 = -9*z + 3. Let u(o) = -o**2 - 8*o + 4. Calculate u(z).
19
Suppose -40 = 15*c - 10*c. Let o(l) = l - 2. Determine o(c).
-10
Let k(o) be the third derivative of o**6/120 + o**5/20 - o**4/6 - 2*o**3/3 + o**2. Suppose 54*y - 19*y = 23*y - 36. Determine k(y).
8
Let m be 19/5 + (-3)/(-15). Suppose 0 = -3*b - 2*b, -w + m*b - 5 = 0. Let i(a) = a**3 + 5*a**2 + 3*a - 6. What is i(w)?
-21
Let i(w) be the first derivative of -w**2 - 3*w + 1811. Let l be (-2)/5 - 44/(-10). Calculate i(l).
-11
Let n = 662 + -664. Let r(h) = -3*h**3 + 2*h**2 + 4*h + 2. Give r(n).
26
Let s(o) be the first derivative of o**5/20 + o**4/6 - 2*o**3/3 - 3*o**2/2 + 3*o - 18. Let v(k) be the first derivative of s(k). Calculate v(-3).
0
Suppose w - 2*n + 4 + 7 = 0, -5*n + 22 = 3*w. Suppose 0*a = a - 5, b + a - 16 = 0. Let f(c) = -3*c - 7*c**3 - b*c**3 + 4*c + 12*c**3. Give f(w).
5
Let x(h) = 12*h**2 - 6 - 9*h + 13*h**2 + 8*h**2 - 32*h**2. Suppose -l + 11 = 2. Determine x(l).
-6
Suppose -3*z + 8 = -1. Suppose -4*c + z = -c. Let x(s) = 1 - 513*s - s**2 + 513*s - 11*s**3 - s**2. Determine x(c).
-12
Let n(i) = 16*i**2 + 2*i + 1. Let d be n(-1). Let f(u) = -2*u + d - 29 + 14. Determine f(-2).
4
Suppose 4*g + n = 6, -g - 4*n + 1 = 7. Let u(m) = 6*m - 5. Determine u(g).
7
Let m(c) = -c**3 - 9*c**2 - 6*c + 17. Let b be m(-8). Let i be b/(3*(-5)/30). Let j(g) = -g**2 - 3*g - 2. Calculate j(i).
0
Let j(n) be the second derivative of -13*n**7/840 - n**6/360 + n**4/24 - 11*n**3/3 + 20*n. Let c(t) be the second derivative of j(t). Calculate c(-1).
13
Suppose -5*r - r + 90 = 0. Let h be 20/(r/3) - -4. Suppose 0 = 9*y - h*y - 6. Let v(l) = -l**3 + 6*l**2 - 2*l + 2. Give v(y).
-10
Suppose g - s = -4, -3*g + 0*g + s - 8 = 0. Let m be g*4/(-1 - 3). Let k(w) = -3*w**2 + w + 2. What is k(m)?
-8
Let w(f) be the third derivative of 0*f**3 - 1/6*f**4 + f**2 + 0 - 1/60*f**5 + 0*f. Suppose 12*q = 65*q + 159. Calculate w(q).
3
Let f = 23 - -1. Suppose 2*i + 77 = 5*t, -5*i - 26 = -3*t + f. Let a(k) = t - k - 8 - 2 - 8. Calculate a(-7).
4
Let x(m) be the first derivative of -m**3/6 - m**2/2 + 6*m + 6. Let l(b) be the first derivative of x(b). Give l(2).
-3
Let v(p) = -5*p + 13. Let d(k) = 6*k - 21. Let l(u) = -4*d(u) - 5*v(u). What is l(-15)?
4
Let v be 1 - (1 + 0 + -1). Let u(z) = -v - 3*z + 2*z**3 + 13*z**2 - 8*z**2 - 3*z**3. Suppose -4*o + 12 = -4. Give u(o).
3
Let x(b) = 3*b**3 + 8*b**2 - 27*b - 1. Let f(p) = 7*p**3 + 16*p**2 - 58*p - 1. Let k(c) = -2*f(c) + 5*x(c). What is k(-10)?
-13
Let p(a) be the third derivative of -5*a**4/24 + 57*a**2. What is p(4)?
-20
Let b(n) = 2*n**2 - 8*n - 5. Let p be b(5). Let g = -7 + 11. Let h(q) = -g*q + 7*q**2 + 6 + 4*q - p. Determine h(-1).
8
Let n(k) = -7*k + 10. Let c(t) = -t**2 - 8*t - 9. Let s be c(-6). Determine n(s).
-11
Let d = -15 + 7. Let f(p) = -13*p**3 - 3*p**2 + 4*p - 3. Let h(j) = -28*j**3 - 5*j**2 + 10*j - 7. Let q(u) = 13*f(u) - 6*h(u). Determine q(d).
3
Let d(b) = 7*b + 1 + 0*b - 2*b - 6*b. Let p(h) = -2*h**2 + 3*h - 4. Let j(v) = -4*d(v) - p(v). Suppose i = -i - 2. What is j(i)?
1
Let k(d) = d - 1. Let h be k(6). Let a = -15 + 9. Let c = h + a. Let m(n) = 7*n**3 + 2*n**2 + n. What is m(c)?
-6
Let r(d) be the first derivative of -4*d**3/3 + 5*d**2/2 - 2*d + 52. Determine r(3).
-23
Let g(o) = 1 + 2*o - 13*o**2 - 21*o**2 + 33*o**2 + 2. Give g(4).
-5
Let y(z) = -z**3 + 11*z**2 + z - 9. Let s = -147 + 158. What is y(s)?
2
Suppose 20*y - 45 = 5*y. Let i(u) = 3*u**2 + 2*u - 9*u**2 + 5*u + u**y - 1. What is i(5)?
9
Let k(j) = 40*j + 46*j - 29 - 132*j + 44*j. What is k(-18)?
7
Let f(x) be the first derivative of x**4/4 - 7*x**3/3 + 5*x**2/2 + 7*x - 1. Suppose 25 = 5*v, t + 265 = 3*v + 256. Determine f(t).
1
Suppose 17*p - 34 = -0*p. Let a(u) = -u**3 + 2*u**2 - u + 1. Determine a(p).
-1
Suppose 0*a = -a + 5*h + 7, -4*h = 3*a - 2. Suppose -t = -5*j - a, -2*j + 16 = 2*t - 0*j. Let q(l) = -l + 13 + 4*l - t. Give q(-5).
-9
Let n = 10 - 16. Let j be (8/n)/((-6)/27). Let g(c) = 6 - c - 3 - 5. What is g(j)?
-8
Let p(o) = -o**2. Let n(t) = -t**2 - 4*t - 5. Let c(h) = -n(h) + 2*p(h). Let y = 35 + -30. What is c(y)?
0
Let o(d) = -d**2 + 5. Let a(x) = 3*x + 1. Let t be a(-1). Let g be 24/(-16)*(28/6 + t). Determine o(g).
-11
Let w(b) = -b**3 + 15. Let k(u) = -u**3 + 6*u**2 - 7*u + 10. Let i be k(5). Determine w(i).
15
Let r = 44 + -41. Let c be r/(7 - 4) - 1. Let m(b) = b**3 - 8. What is m(c)?
-8
Let o(h) = h**2 - 7. Let n be o(-3). Let x(s) be the third derivative of 0*s + 5/24*s**4 + 0 + 1/6*s**3 + s**n. What is x(1)?
6
Let t(s) = -s**2 + 8*s + 2 + 0 + 2 - 6. Suppose 2*j - 3 = -q + 14, q - 1 = 0. What is t(j)?
-2
Let f(q) = -2*q + 18 - 1 + 3*q**2 + 0*q - 2*q**2. Give f(0).
17
Let u(w) = -21*w + 364. Let o be u(17). Let r(b) = -b**3 + 7*b**2 - 2*b + 11. Determine r(o).
-3
Let h = 1757 + -1754. Let f(i) = -i**3 + i**2 + 6*i - 2. Determine f(h).
-2
Let j(k) be the second derivative of k**6/360 - k**5/24 + 5*k**4/24 - k**3 - 9*k. Let g(s) be the second derivative of j(s). What is g(4)?
1
Let b(f) = -1 + 28*f - 14*f + 3 - 8*f - 4*f. Let c(g) = 4*g**2 - g + 1. Let r be c(1). Suppose 0 = m + 3*t - 2, -4*t = -m - r - 8. Determine b(m).
-6
Let l(n) = n**3 + 9*n**2 + n - 9. Let q be (12 + -21)/(2 + -1). Calculate l(q).
-18
Let i(j) = -3*j**2 - 2*j + 3. Let g(v) = -v**2 + 23*v - 118. Let o be g(15). Determine i(o).
-13
Let y(q) = q**2 + q + 1. Let z(p) = -5*p**2 - 10*p - 3. Let c(f) = 6*y(f) + z(f). Determine c(4).
3
Let u(h) = 1. Let c(z) be the second derivative of -z**3/6 + z**2 - 18*z. Let j(i) = -5*c(i) + 6*u(i). Give j(3).
11
Let g(f) be the third derivative of 4/3*f**3 - 13*f**2 - 1/120*f**6 + 0 + 0*f**5 - 1/24*f**4 + 0*f. What is g(0)?
8
Let v(x) = 7*x + 3. Suppose -77 = d + 3*p, 79 = -2*d - 2*p - 71. Let n = -53 - d. Let b be (-45)/n + (-1)/(-7). Calculate v(b).
-11
Let a(o) = -782*o - 1 + 786*o + 0 - 2. Determine a(-2).
-11
Suppose -6*y + 2*y = 0. Suppose y = -0*u + 4*u + p - 8, -3*u + 5 = p. Let l(x) = -x**3 + 2 + 4*x**u - 4*x**3 - x**2 - 2*x - 4*x**2. Determine l(-2).
-6
Let p(i) = i + 3. Let w(s) = 1. Let y(x) = p(x) + 6*w(x). Suppose -8*a + 24 = -11*a. Determine y(a).
1
Let a(s) be the second de | {
"pile_set_name": "DM Mathematics"
} |
*c - 3*c = -41, 4 = -4*n + 4*c. Let y(o) = o**3 - 4*o**2 - o + 5. Let k be y(n). Let t(u) = 21*u**3 - u**2. Is t(k) a multiple of 15?
False
Let r(a) = 3*a - 1. Let p be r(1). Suppose 0*m = p*m - 8. Does 9 divide 120/9*9/m?
False
Let w be 1 - (-1 + (-436)/2). Let y be (4 - 0 - 5) + 4 - 1. Suppose 0 = -7*k + y*k + w. Is k a multiple of 11?
True
Let j(g) = -g + 1. Let v(h) = h + 6. Let a(u) = -j(u) + v(u). Is 9 a factor of a(11)?
True
Let v(p) = -2*p + 57. Suppose 3 = -3*b, -4*b = -3*i + 49 - 6. Suppose 15*j = i*j. Is 19 a factor of v(j)?
True
Is 117 a factor of -6 + ((-36)/(-60) - 10557/(-5))?
True
Suppose 3*w - 15 = -9. Let v = -2 + w. Suppose 3*h = -v + 9. Is h even?
False
Let p(o) = 7*o + 63. Let g(w) = -2*w - 21. Let z(j) = -8*g(j) - 3*p(j). Let q be z(-11). Suppose -q + 2 = -2*v. Is v a multiple of 5?
False
Let w be (3/(-6))/((-5)/(-20)). Let i = w - -5. Suppose 5*y + 5*d - 3*d - 23 = 0, -i*y = -4*d - 19. Does 5 divide y?
True
Let s(r) = 125*r**2 + 19*r - 9. Is 2 a factor of s(-3)?
False
Let i be 24/60 - 227/5. Let g = i + 158. Is 30 a factor of g?
False
Suppose -2*f - 2*f = 20, 0 = 3*y - f + 208. Let q = 46 - y. Does 13 divide q?
True
Let k(p) = -p**3 - 21*p**2 - 22*p - 8. Let a be k(-20). Suppose 120 = 4*m + a. Is m a multiple of 5?
False
Let p(o) = 5*o + 4. Let u be p(3). Suppose -8 = -n + 5*j + u, -j = -2*n + 9. Suppose 93 = n*v + 2*v + 5*y, 5*v = 2*y + 75. Is 17 a factor of v?
True
Let x = 40 - 177. Let l = x - -197. Is l a multiple of 15?
True
Suppose -3*b + 0*b = w - 11, -3*b + 21 = 3*w. Is 14 a factor of (0 + b)/(22/1617)?
False
Let l(q) = q**3 - 5*q**2 + 2*q - 2. Let t be l(4). Is (t/15)/((-6)/81) a multiple of 7?
False
Let f be (-100)/(-30) - (-2)/3. Suppose 0 = -4*p - f*y + 660, -5*p + y = -1176 + 351. Is 33 a factor of p?
True
Let q = -22 - -31. Let u = q - -47. Suppose f - u = -f. Is 7 a factor of f?
True
Let h(w) = w**3 + 36*w**2 - 96*w - 150. Is h(-38) a multiple of 15?
False
Let f = -528 + 1426. Is f a multiple of 23?
False
Is 54 + -1 - ((-14)/(-2) + -4) a multiple of 12?
False
Suppose 0*h + 25 = -5*u - h, 0 = 4*u - 5*h - 9. Let m = 1 - u. Suppose 0 = -5*v - 5*w - 0 - m, -v - 5*w = 21. Does 2 divide v?
True
Suppose -4*t + 7*t = 4896. Suppose 0*q = 17*q - t. Is 16 a factor of q?
True
Let x be (-41854)/(-272) - (-1)/8. Suppose 50 = o + g, 0*g + g - x = -3*o. Is o a multiple of 5?
False
Let w(t) = 38*t + 60. Is 11 a factor of w(10)?
True
Does 52 divide 1/2 + -2433*(-55)/66?
True
Suppose -2*f + 366 - 119 = -5*u, -4*f = -2*u - 534. Suppose -f = -2*i + 84. Is 20 a factor of i?
False
Does 14 divide (274/4)/(13/4 - 3)?
False
Let a = -33 - -19. Let p = a - -14. Suppose p = -9*o + 5*o + 176. Is 22 a factor of o?
True
Let q be 168/27 + (-4)/18. Let a be (q/9)/(5/15). Suppose -46 = -3*p + a. Is p a multiple of 16?
True
Let p = 2 + 5. Let n be 80/(-140) + 25/p. Suppose -2*m - 5*c + 155 = 0, -4*c = 2*m - n*c - 159. Is m a multiple of 11?
False
Let w = 1193 + -845. Suppose -x - 5*x + w = 0. Is x a multiple of 16?
False
Let s = -50 + -5. Let i = s + 85. Let h = -8 + i. Is h a multiple of 11?
True
Suppose -78*i + 604576 = 34*i. Does 29 divide i?
False
Let a = 344 + -152. Is 12 a factor of a?
True
Is 7 a factor of 526/6 - (-8 + (-207)/(-27))?
False
Let q(h) = 2*h**2 + h - 5. Let g be q(-5). Suppose g = 2*d - 16. Suppose 5*l = d - 3. Is l a multiple of 4?
False
Let f(w) = 23*w + 15. Does 59 divide f(25)?
True
Let n = 336 + -180. Is n a multiple of 13?
True
Let g = 3658 - 1778. Does 17 divide g?
False
Is 3 a factor of 8/6 - ((-225)/(-27) + -10)?
True
Let a(i) = -15 - 7*i**2 + 1 + 14*i + 6*i**2. Let p(n) = n**3 - 15*n**2 - 16*n + 9. Let f be p(16). Is 4 a factor of a(f)?
False
Suppose -5*d + 315 = 7*h - 2*h, 15 = -5*d. Suppose -4*a - 37 - 47 = 2*p, -3*a = 3*p + h. Is 18 a factor of 9/((-1)/a*4)?
False
Let y(g) be the third derivative of g**5/30 + 7*g**4/24 + 7*g**3/6 + g**2. Let v(t) = t**3 - 24*t**2 + 22*t + 18. Let j be v(23). Does 11 divide y(j)?
True
Let w = -184 + 520. Is 15 a factor of w?
False
Let r = 44 + -39. Suppose -3*s - 60 = -r*s. Is s a multiple of 6?
True
Let b be -6 + ((-2)/(-6) - (-2)/(-6)). Is (b - -3)/(9/(-534)) a multiple of 37?
False
Is 19 a factor of -1 + (-5 + 2456/12)*6?
True
Does 78 divide 512 + 5/(20/16)?
False
Suppose 25 = 5*w, -2*l - 3*w = -6*w - 111. Let x be -1 + 5 + 96/(-12). Is x/14 - (-4995)/l a multiple of 19?
False
Let v(w) = -w**3 - 5*w**2 - 4*w. Let o be v(-4). Suppose -q + 15 = -o*q. Suppose -g + 7 + q = 0. Is 19 a factor of g?
False
Let m = -1270 + 2514. Does 21 divide 5/(50/m) - 18/(-30)?
False
Let j(o) = -o - 4 + 0 + 3*o - 3*o. Let r be j(-8). Suppose -r*m = -263 - 17. Does 19 divide m?
False
Let w = -10 + 6. Let t be (-6)/((18/w)/3). Suppose -t = -i + 18. Does 11 divide i?
True
Let f = 18 - 13. Suppose -3*n - w = -19, -2*w - 12 = -5*n + f. Suppose -24 = -n*r + 16. Is r a multiple of 8?
True
Suppose 5*x - 18975 = -20*x. Is 69 a factor of x?
True
Suppose -10*d + 9*d = -2. Suppose d*c - 550 = -5*p, 64 = 3*p + 2*c - 262. Does 7 divide p?
True
Let y(p) = p**3 + 11*p**2 + 10*p - 7. Let f be y(-10). Let q be (f + 4)/((-9)/12). Suppose 120 - 8 = q*z. Does 14 divide z?
True
Let j = -348 - -238. Let f = -42 - j. Is 17 a factor of f?
True
Does 14 divide (-13 + 135/12)*-1240?
True
Suppose p - 15 = -2*p. Let y be ((-2)/(-4))/(p/(-730)). Let m = y - -126. Is m a multiple of 12?
False
Let m be -9*(-6)/3*-3. Is 11 a factor of (m/45)/((-4)/370)?
False
Let s(z) = 3*z - 13. Let v(c) = 9*c**2 + 3*c + 2. Let o = -29 - -28. Let l be v(o). Is 11 a factor of s(l)?
True
Let j(u) = u + 4. Let f(z) = z + 5. Let c(g) = -6*f(g) + 7*j(g). Let i be c(5). Suppose o - 11 = 3*v + 13, -i*o - 2*v = -50. Does 9 divide o?
True
Suppose -2 = -10*v + 12*v. Does 4 divide 44 + (3 - v) + (-6 - -3)?
False
Let l be (2/4)/(12/144). Let z(g) = g**2 - 5*g - 7. Let w be z(l). Is 29 a factor of 3 - w - 54/(-1)?
True
Let o(r) = -r**3 + 7*r**2 - 5. Let x = -16 - -28. Let m = 18 - x. Does 14 divide o(m)?
False
Suppose 2*m - j - 21 = 0, 0 = 3*m - 2*m + j - 3. Let a be ((-86)/8)/((-1)/m). Let g = a - 59. Does 14 divide g?
False
Suppose -10 = -s - s. Suppose g - 7 = s. Is 0/(-1) + 6 + g a multiple of 9?
True
Let a = -50 + 59. Suppose -4*b + a*b = -v + 96, 0 = 3*v + 4*b - 288. Does 6 divide v?
True
Suppose 3*y = -2*c + 50, 3*c - 4*c + 95 = 5*y. Does 20 divide y?
True
Suppose -44*d - 17438 = -58402. Does 10 divide d?
False
Suppose a - 48 = -3*a. Let q = -10 + a. Suppose -q = -o + 13. Is 15 a factor of o?
True
Let g = 16 - 9. Suppose g*n - 5*n = 160. Is 20 a factor of n?
True
Suppose -6*x + 3 = 33. Let c = x + 40. Is c a multiple of 5?
True
Suppose -7 = 2*x + o, x - 4*o + 18 = -8. Let r be x/(-15)*-1*20. Does 5 divide (92/r - 0)*-2?
False
Let b = 651 - 345. Is b a multiple of 9?
True
Suppose -2*b = -2*z + 342, z - 3*b + 7*b = 156. Is 14 a factor of z?
True
Let j = 33 + -19. Suppose -4*o + 2*t = -j, 3*t + 12 = 5*o - 6. Suppose 0 = -0*m + 2*m - q - 49, 3*m = o*q + 66. Is m a multiple of 8?
False
Let q(g) = -2*g**3 - 50*g**2 - 2*g - 29. Is q(-26) a multiple of 25?
True
Let b be (20/(-6) + 2)*-21. Suppose 282 = b*g - 26*g. Is 47 a factor of g?
True
Let b(l) = l**3 + 7*l**2 + 6*l + 5. Let f be b(-6). Suppose -2*c = -j + f, j + 2*c + 9 = -3*c. Is (-20)/(j - (-28)/(-20)) a multiple of 14?
False
Let n be -12*(33/9 + -4). Suppose -3*y = -n*y + 6. Does 5 divide y?
False
Let q = 364 + 628. Is q a multiple of 62?
True
Suppose -4*c = -362 + 94. Let y = -12 + c. Is 18 a factor of y?
False
Let o be 476/70 - 1/(-5). Let b(x) = 4*x**2 - 9*x + 3. Let u be b(o). Suppose -3*z + 144 = 3*n, -4*n = 5*z - 373 + u. Is z a multiple of 16?
False
Suppose -2*z - 3*z + 1469 = y, -5*z + 3*y + 1473 = 0. Is 21 a factor of z?
True
Suppose 27 = 5*r + 2. Suppose r*k - 93 = 2*k. Is 14 a factor of k?
False
Let v(l) = l**3 - 14*l**2 - 15*l + 8. Let k be v(15). Suppose -3*j - j + k = 0. Suppose -2*w + 156 = j*w. Is w a multiple of 18?
False
Suppose 2*r = 2*x - 24, -5*r + 12 - 40 = 3*x. Let n(g) = -8*g - 14. Is n(r) a multiple of 27?
False
Let v be (-34)/(-14) - (-12)/(-28). Suppose d = v*d. Is (-2 + d)/(8/(-36)) a multiple of 4?
False
Let t(f) = -25*f**3 - 2*f**2 - 2*f. Suppose 0 + 2 = -2*v. Is 12 a factor of t(v)?
False
Let b(j) be the third derivative of -25*j**4/12 + j**3/2 + 6*j**2. Let v be b | {
"pile_set_name": "DM Mathematics"
} |
.
i**3*(i + 1)
Let n(d) = -9*d**2 - 8*d - 9. Let f(l) = -4*l**2 - 4*l - 4. Suppose w - 5 = 3*w - b, -b = 3*w + 20. Let z(a) = w*f(a) + 2*n(a). Factor z(t).
2*(t + 1)**2
Let q(h) be the second derivative of h**8/504 - h**6/90 + h**4/36 + h**2 + h. Let n(d) be the first derivative of q(d). Find f such that n(f) = 0.
-1, 0, 1
Find p such that p - 3*p - p - 8 - p + 4*p**2 = 0.
-1, 2
Let b(f) be the first derivative of 2*f**6/3 + 4*f**5/5 - f**4 - 4*f**3/3 + 14. Let b(y) = 0. What is y?
-1, 0, 1
Let d(m) = -11*m**2 - 5*m + 9. Let o(w) = -3*w + 3*w**2 - 10*w**2 + 5 + w**2. Let b(k) = -4*d(k) + 7*o(k). Factor b(n).
(n - 1)*(2*n + 1)
Let h(q) be the second derivative of -q**5/20 + 5*q**4/6 - 3*q**3/2 + 35*q. Factor h(f).
-f*(f - 9)*(f - 1)
Let z(h) be the third derivative of 0*h + 6*h**2 - 1/32*h**4 - 1/480*h**6 + 0 + 1/80*h**5 + 1/24*h**3. Factor z(p).
-(p - 1)**3/4
Let l(q) = 2*q**2 + 2*q - 2. Let m be l(-2). Let g(d) = 2*d**3 - 11*d**2 + 6*d + 3. Let h(k) = k**3 - 5*k**2 + 3*k + 1. Let s(r) = m*g(r) - 5*h(r). Factor s(n).
-(n - 1)**3
Let h = -7 - -9. Determine f so that 2/11*f**h + 0 + 4/11*f = 0.
-2, 0
Let q(r) be the first derivative of -r**8/210 - r**7/630 + 13*r**6/2160 - r**5/360 + r**3 + 4. Let g(z) be the third derivative of q(z). Factor g(v).
-v*(3*v + 2)*(4*v - 1)**2/6
Let s(j) be the first derivative of 1/15*j**3 - 2*j + 1 - 1/30*j**4 + 1/5*j**2 - 1/50*j**5. Let h(a) be the first derivative of s(a). Factor h(u).
-2*(u - 1)*(u + 1)**2/5
Let 0 + 2/3*q**2 - 4/3*q = 0. Calculate q.
0, 2
Suppose i - 92 = -h - h, -3*h - 368 = -4*i. Factor -a**4 - a**4 - a**3 + i*a**5 - 93*a**5.
-a**3*(a + 1)**2
Suppose -3*z + 2*s = -77, 0 = -4*z - 5*s + 20 + 52. Factor 0*f + 0*f - z*f**3 - 4*f**4 + 27*f**3.
-4*f**3*(f - 1)
Let t(v) be the first derivative of -v**6/48 - v**5/10 - v**4/32 + 7*v**3/12 + 5*v**2/4 + v - 47. Find y such that t(y) = 0.
-2, -1, 2
Let j(o) be the second derivative of o**6/210 + o**5/140 - o**4/28 - o**3/42 + o**2/7 - 10*o. Factor j(r).
(r - 1)**2*(r + 1)*(r + 2)/7
Let s(f) be the first derivative of -f**3/4 + 3*f + 9. Factor s(v).
-3*(v - 2)*(v + 2)/4
Let l = 175 + -2099/12. Let b(z) be the second derivative of z - l*z**3 + 0 - 1/2*z**2 + 1/24*z**4. Factor b(i).
(i - 2)*(i + 1)/2
Factor 3/7*w**5 + 0*w**4 + 3/7*w - 6/7*w**3 + 0 + 0*w**2.
3*w*(w - 1)**2*(w + 1)**2/7
Let g(o) be the third derivative of -1/60*o**5 - 2*o**2 + 0*o**4 + 0*o + 1/6*o**3 + 0. Factor g(v).
-(v - 1)*(v + 1)
Let t = 81 + -79. Factor 0*m**t + 0*m + 2/9*m**5 - 2/9*m**3 + 0*m**4 + 0.
2*m**3*(m - 1)*(m + 1)/9
Let r(v) be the first derivative of -v**4/12 + v**3/9 - 17. What is c in r(c) = 0?
0, 1
Factor -83*z**4 - z**5 + z**3 + 83*z**4.
-z**3*(z - 1)*(z + 1)
Let s(o) be the second derivative of o**4/4 + o**3/2 - 3*o**2 - 10*o. Factor s(q).
3*(q - 1)*(q + 2)
Determine f, given that 10*f + 17*f + 51*f**4 - 15*f - 26*f**3 - 24*f**2 - 18*f**5 + 5*f**3 = 0.
-2/3, 0, 1/2, 1, 2
Let j be 15/35*847/10. Let z = 73/2 - j. Factor -1/5*f**4 - 1/5*f**3 + 0 + z*f + 1/5*f**2.
-f*(f - 1)*(f + 1)**2/5
Let c = -4 - -4. Suppose -5*w = -3*d, c = 5*w - 2*w + 3*d. Factor 0*y**4 + 0*y**2 - 1/2*y**5 - 1/2*y + y**3 + w.
-y*(y - 1)**2*(y + 1)**2/2
Let l(x) be the first derivative of x**4/16 + x**3/12 + 16. Determine i so that l(i) = 0.
-1, 0
Let d = 294 - 285. Factor 3/2*y**2 + d*y + 27/2.
3*(y + 3)**2/2
Let c(g) = -3*g**3 - 104*g**2 - 668*g + 7. Let l(n) = 2*n**3 + 70*n**2 + 445*n - 5. Let u(j) = -5*c(j) - 7*l(j). Factor u(m).
m*(m + 15)**2
Let z(u) be the second derivative of -u**10/60480 + u**8/13440 - u**4/6 - 2*u. Let y(r) be the third derivative of z(r). Factor y(v).
-v**3*(v - 1)*(v + 1)/2
Let o(w) = 9*w**3 - 5*w**2 - 18*w - 4. Let l(h) = 45*h**3 - 24*h**2 - 89*h - 20. Let v(n) = -2*l(n) + 11*o(n). Factor v(c).
(c - 2)*(c + 1)*(9*c + 2)
Let p(d) be the third derivative of 1/120*d**6 + 0 - 3/40*d**5 - 1/12*d**3 + 1/105*d**7 + 0*d + 11/96*d**4 + d**2. Suppose p(y) = 0. What is y?
-2, 1/2
Let l(t) be the third derivative of 3*t**8/784 + t**7/49 + 3*t**6/70 + 3*t**5/70 + t**4/56 + 5*t**2. Find v such that l(v) = 0.
-1, -1/3, 0
Factor -d**2 - d**4 + 2*d + 2*d**4 - 2*d**3 + 0*d**3 + 0*d.
d*(d - 2)*(d - 1)*(d + 1)
Let h(a) be the third derivative of -2*a**7/945 + a**6/54 - a**5/135 - 7*a**4/18 + 4*a**3/3 - 31*a**2. Solve h(v) = 0.
-2, 1, 3
Suppose 11*g = 14*g. Let -1/3*l**2 - l**3 - 1/3*l**5 + g + 0*l - l**4 = 0. Calculate l.
-1, 0
Factor 5*o**4 + 15/2*o**3 + 5/4*o**5 + 0 + 5*o**2 + 5/4*o.
5*o*(o + 1)**4/4
Let s(m) be the second derivative of 0*m**2 + 0*m**3 + 1/70*m**5 - 1/105*m**6 + 0 + 0*m**4 - 2*m. Factor s(w).
-2*w**3*(w - 1)/7
Let h be (-25)/(-12) + (-15)/20*1. Factor h*m**2 + 0 - 2/3*m.
2*m*(2*m - 1)/3
Let l(y) be the third derivative of 1/120*y**5 + 0*y**4 + 0*y + 0 - 6*y**2 - 1/12*y**3. Solve l(v) = 0 for v.
-1, 1
Let s(g) be the first derivative of -2*g**5/55 + 5*g**4/22 - 14*g**3/33 + 3*g**2/11 + 16. Factor s(a).
-2*a*(a - 3)*(a - 1)**2/11
Suppose -z + 5 = -3*g, g + 6 = -2*g. Let k be 4*((-21)/(-12) + z). Suppose -2/11 - 2/11*m**4 + 4/11*m**2 + 4/11*m**k - 2/11*m - 2/11*m**5 = 0. What is m?
-1, 1
Suppose -11 = -5*u + 9. Let x = -4 + u. Factor 0*k**2 + 4/3*k**5 - 2/3*k**3 - 2/3*k**4 + 0 + x*k.
2*k**3*(k - 1)*(2*k + 1)/3
Let f = 20 - 56/3. Solve 0 + 0*r - f*r**3 + 4/3*r**2 = 0 for r.
0, 1
Let -2*y - 6*y**3 - 24*y**2 + 2*y - 3*y**4 + 21*y**2 = 0. What is y?
-1, 0
What is s in -48/7*s - 9*s**4 + 3*s**3 + 27/7*s**5 + 51/7*s**2 + 12/7 = 0?
-1, 2/3, 1
Let k(n) be the first derivative of 0*n - 3/2*n**2 - 2 - n**3. Factor k(h).
-3*h*(h + 1)
Suppose -5*w + 1 = 2*s, 3*w - 12 = 5*s - 10*s. Let n(p) = -p. Let k be n(w). Let 0 + 3*b + k - b**3 - 3 = 0. Calculate b.
-2, 1
Let c(t) = t**3 - t**2 + 3. Let g be c(0). Factor -2*h**5 + 23*h**3 + 0*h - 19*h**g - 2*h.
-2*h*(h - 1)**2*(h + 1)**2
Let o(y) be the third derivative of y**6/180 + y**5/10 + 3*y**4/4 + y**3/6 - 5*y**2. Let r(a) be the first derivative of o(a). Let r(w) = 0. What is w?
-3
Let t(m) be the first derivative of -4/3*m**3 - 3/2*m**4 + 0*m + 4 + 0*m**2 - 2/5*m**5. Factor t(x).
-2*x**2*(x + 1)*(x + 2)
Let l(m) be the second derivative of 0*m**3 + 0*m**2 + 1/36*m**4 + 1/30*m**5 + 0 + m + 1/90*m**6. Factor l(o).
o**2*(o + 1)**2/3
Let t(i) be the third derivative of -i**8/24 + 2*i**7/7 - 5*i**6/6 + 4*i**5/3 - 5*i**4/4 + 2*i**3/3 - i**2. Factor t(r).
-2*(r - 1)**4*(7*r - 2)
Suppose -5*k - 4*q + 15 = -9*q, 0 = 2*k - 5*q - 6. Suppose -5*z = -4*d, 3*z = -2*d + 3*d. Solve 10/7*o**k - 8/7*o**4 - 2/7*o**2 + 0*o + z = 0.
0, 1/4, 1
Let r(z) be the second derivative of 1/36*z**4 + 0 - 1/60*z**5 - 1/6*z**2 + z + 1/18*z**3. Factor r(c).
-(c - 1)**2*(c + 1)/3
Solve 1/2*h**3 + 1 + 2*h**2 + 5/2*h = 0 for h.
-2, -1
Let g be 2*((-6)/(-4) - 0). Suppose -4 - 2*x**4 - 3 - 12*x**g + 4 - 26*x**2 - 24*x - 5 = 0. What is x?
-2, -1
Suppose -5*x - 5*u + 20 = 0, -4*u = x - 20 + 4. Let 0 + x*k - 1/2*k**2 = 0. Calculate k.
0
Let h be ((-1)/(15/(-9)))/(2 - 1). Factor 0*d - 6/5*d**2 + 3/5*d**4 + 0*d**3 + h.
3*(d - 1)**2*(d + 1)**2/5
Let o(k) be the first derivative of -15*k**4/2 - 34*k**3/3 - 2*k**2 + 24. Determine i so that o(i) = 0.
-1, -2/15, 0
Let p(h) be the first derivative of h**6/1260 + h**5/420 - 4*h**3/3 - 4. Let d(o) be the third derivative of p(o). Factor d(u).
2*u*(u + 1)/7
Factor -125/3 - 5/3*f**2 + 50/3*f.
-5*(f - 5)**2/3
Find l such that 0 + 5/3*l**2 + 4/3*l**3 + 2/3*l + 1/3*l**4 = 0.
-2, -1, 0
Suppose 0 = -5*g - 3*k + 7, 22*g - 23*g = 2*k. Factor g*h**2 + 2/3*h**3 + 2/3 + 2*h.
2*(h + 1)**3/3
Let r = -235/4 + 59. Let 0*m**3 + 0 + r*m**2 - 1/4*m**4 + 0*m = 0. Calculate m.
-1, 0, 1
Let i(c) be the second derivative of -c**4/30 - 2*c**3/15 - c**2/5 + 4*c. Suppose i(u) = 0. What is u?
-1
Let o(z) = -z**4 + 3*z**3 - 7*z**2 - 11*z + 11. Let l(k) = -k**4 + k**3 - 3*k**2 - 5*k + 5. Let s = 4 + -7. Let u(n) = s*o(n) + 5*l(n). Factor u(m).
-2*(m - 1)**2*(m + 2)**2
Suppose 0 = -5*y - 3*y + 32. Find v, given that -2*v**y - 2/3*v**2 - 2*v**3 - 2/3*v**5 + 0*v + 0 = 0.
-1, 0
Let w be 2*(-3)/(-3)*1. Factor 3*b + 3*b**3 - 3*b + 6*b**w + 0*b + 3*b.
3*b*(b + 1)**2
Suppose -q + 23 = -4*y, 5*y + q = -39 + 8. Let b be 12/(-10)*15/y. Factor 0*n**b + 4*n**5 - n**3 - 3*n**5 + n**2 - n**4.
n**2*(n - 1)**2*(n + 1)
Let b(m) be the third derivative of -m**8/112 + m**7/35 + m**6/10 | {
"pile_set_name": "DM Mathematics"
} |
iggest value? (a) -2/5 (b) 162.3 (c) 4 (d) 5 (e) 0.1 (f) -0.5
e
What is the second smallest value in 6, -9, -34, -7, 0.2?
-9
What is the fourth smallest value in -5, 6/55, 15, 2, -0.1?
2
What is the fifth biggest value in -4, -1, -2/13, -0.2, 2?
-4
What is the third biggest value in 2, 1/19, -12?
-12
Which is the second biggest value? (a) -0.5 (b) 9 (c) -1/28 (d) -2/23
c
What is the biggest value in -2/19, 3/44, 0.118, 0.5?
0.5
Which is the third smallest value? (a) 11 (b) -1 (c) 1/5 (d) 1/18 (e) -0.3 (f) 1
d
Which is the third biggest value? (a) -2 (b) 0.01 (c) -15 (d) -0.2 (e) 181
d
Which is the fourth biggest value? (a) 2 (b) -113.3 (c) -5 (d) -0.5 (e) -3 (f) 1/4
e
What is the second biggest value in -6/11, 1/9, 3/5, -0.9, -47, 0.2?
0.2
What is the smallest value in 2, -1, 2/17, 0.9, -25?
-25
Which is the third biggest value? (a) 4 (b) -10 (c) 2/7 (d) -1/2
d
What is the fifth smallest value in 0.5, -25, -1, 5, -5?
5
What is the biggest value in -2/1263, 0.5, -0.7, -4, 23?
23
What is the sixth smallest value in -0.5, 8, 41, 3, 1/2, 0.1?
41
Which is the third smallest value? (a) 0.1 (b) -2/7 (c) -84 (d) 4/3 (e) -0.1 (f) 1/4
e
Which is the smallest value? (a) -8 (b) -4 (c) 840
a
Which is the third biggest value? (a) -233 (b) -0.4 (c) -2 (d) 3
c
What is the fifth biggest value in -89, 7, 0.7, -0.5, -1/5, 0?
-0.5
What is the second smallest value in -2/4153, 0.8, -4?
-2/4153
What is the fifth biggest value in 4/5, -2, -0.2, 416, 3, -4?
-2
Which is the fifth biggest value? (a) 1 (b) 3/7 (c) -0.02 (d) 3 (e) 1/6 (f) 4
e
Which is the third smallest value? (a) 4 (b) 3 (c) -4.13 (d) -1/3 (e) 2
e
What is the second biggest value in 12, 5, -73?
5
What is the fifth biggest value in -0.02, 2, -5, 2535, 1/2?
-5
What is the second biggest value in 0.4, -0.3, -0.037, -0.1, -10, 1/6?
1/6
What is the fifth biggest value in -3, -1/8, -0.2, 65, 0.08?
-3
Which is the second biggest value? (a) -2 (b) -9019 (c) -0.3
a
What is the second smallest value in -1, -1/9, -0.3, 1000?
-0.3
What is the second smallest value in -6.3, -0.812, -0.02?
-0.812
Which is the third biggest value? (a) -0.2 (b) -74 (c) -3/4 (d) 11 (e) -0.1
a
Which is the second smallest value? (a) -137 (b) -12/11 (c) -3
c
What is the biggest value in 3/8, 101, 0?
101
Which is the third smallest value? (a) 2/35 (b) 4/9 (c) -5 (d) -4 (e) -0.6 (f) -1/5
e
What is the fourth biggest value in -4, 0.95, 2/9, -1.8?
-4
What is the fifth smallest value in 3, 0, 0.5, 0.31, -3, -16?
0.5
Which is the third smallest value? (a) -1.45 (b) -2/5 (c) 1/15
c
What is the third biggest value in -24, 1/37, -1/4, 5?
-1/4
What is the smallest value in -5, -4, -0.02, -42, 0.0381?
-42
Which is the biggest value? (a) -2 (b) 176.3 (c) 1
b
Which is the third biggest value? (a) 5 (b) 0.1 (c) 2/15 (d) 5/2 (e) -0.5 (f) -104
c
Which is the fourth biggest value? (a) 0 (b) -1/27 (c) 0.4 (d) -0.1
d
What is the third smallest value in 25, 3, -4, 2, 1, 9?
2
Which is the second biggest value? (a) -137 (b) 2 (c) 343
b
Which is the biggest value? (a) 14 (b) 52 (c) 25
b
Which is the fifth smallest value? (a) 2 (b) 12/11 (c) -5 (d) 1/22 (e) 0 (f) 2/9
b
What is the second biggest value in -45, -124, -4?
-45
What is the biggest value in -3, -3/4, 5, -1, -605?
5
What is the biggest value in 3458, 0.5, 4, -0.042?
3458
What is the fourth biggest value in -32, 3/5, -2, 15/8, -13?
-13
What is the third smallest value in 792.7, -0.1, 0?
792.7
What is the fourth biggest value in -1.86, 5, -2/5, -5, 1/6, -3/4?
-3/4
What is the fourth smallest value in 232, -0.07, -0.4, 1/5?
232
Which is the second smallest value? (a) 5 (b) 2 (c) -1 (d) -27 (e) 0.6 (f) 0.3
c
Which is the smallest value? (a) -5 (b) 96/7 (c) -74.5
c
Which is the biggest value? (a) -1/8 (b) 12081 (c) -0.7 (d) 3/5
b
Which is the smallest value? (a) 6 (b) -2 (c) -0.229 (d) -1 (e) -6/5
b
Which is the sixth smallest value? (a) 1 (b) -7/4 (c) -6 (d) -3 (e) 2 (f) 1/4
e
Which is the fourth biggest value? (a) 4 (b) -8/3 (c) -2 (d) 0 (e) 0.5
c
Which is the third biggest value? (a) -0.4 (b) -6.09 (c) -4/7
b
What is the fifth biggest value in -11, -1.1, -0.4, 17/5, 2?
-11
Which is the second smallest value? (a) 0.17 (b) -0.4 (c) 337
a
What is the biggest value in 4, 0.1, -4, 2, 18/11?
4
Which is the fourth biggest value? (a) -24 (b) -2/5 (c) 0.5 (d) 0.1 (e) 7/5
b
Which is the biggest value? (a) 2/19 (b) 1/8 (c) 0 (d) -2/5 (e) -571 (f) 2/7
f
Which is the smallest value? (a) -1/4 (b) -109/68 (c) 3
b
Which is the smallest value? (a) -3/73 (b) 5 (c) -1 (d) 8 (e) -0.4 (f) -30
f
Which is the third biggest value? (a) -0.1 (b) 0.4 (c) -4 (d) -17 (e) -0.2 (f) 4/3
a
Which is the smallest value? (a) -0.08 (b) 1/1843 (c) 0
a
Which is the smallest value? (a) 0 (b) -3.75 (c) -0.14
b
Which is the third biggest value? (a) 5 (b) -0.2 (c) 1.317 (d) -0.5 (e) -0.3
b
Which is the biggest value? (a) -826 (b) -19 (c) 0.031
c
What is the third smallest value in 0.5, 1/10749, -3/44?
0.5
Which is the second biggest value? (a) -3 (b) 1/3 (c) -171/4 (d) -2 (e) -13 (f) 4
b
Which is the fifth biggest value? (a) 0.43 (b) 96 (c) -1.2 (d) 1 (e) -1/2
c
What is the third biggest value in -7/4, -0.5, 492?
-7/4
Which is the sixth smallest value? (a) 2 (b) -13 (c) 6 (d) -37 (e) 2/5 (f) 5
c
Which is the third biggest value? (a) -3 (b) 16 (c) 2/15 (d) 2/7 (e) 2/39
c
What is the biggest value in 0.2, 0.682, -0.3, 8, 1?
8
What is the biggest value in 5, -162, 1/10, -5?
5
What is the second smallest value in -168/5, -3/2, 2.8, -1, 1?
-3/2
What is the biggest value in -0.3, 0.14295, 3/44?
0.14295
Which is the second biggest value? (a) 1/2 (b) 0 (c) -0.06 (d) 16/153 (e) -3/7
d
What is the smallest value in -3, -2, -2/31, -9, -4/11, -4?
-9
Which is the third biggest value? (a) -5 (b) -0.04 (c) -2/5 (d) -0.2 (e) 12.4
d
Which is the biggest value? (a) -4 (b) 1/5 (c) 1/4 (d) 2 (e) 1425
e
Which is the sixth smallest value? (a) 4/9 (b) 0.01 (c) 5/43 (d) -4 (e) 14 (f) 3/2
e
What is the second smallest value in 6902, -5/3, -1.5?
-1.5
What is the second biggest value in -971/94, 4/5, -3?
-3
What is the third biggest value in -10, -1.8, 2/65?
-10
What is the second smallest value in -0.379, -43, -4?
-4
Which is the fourth biggest value? (a) -60 (b) -1/11 (c) -336 (d) -3.2
c
What is the fourth biggest value in -4, -1/4742, -5, -1/5, 4, 1?
-1/5
What is the third biggest value in -437.4, 1/2, -0.03?
-437.4
What is the fourth biggest value in 2, 59/3, 0, -5/2?
-5/2
Which is the smallest value? (a) -4 (b) 4 (c) 0.01482899
a
Which is the third biggest value? (a) -77 (b) -0.2 (c) 145
a
Which is the fourth biggest value? (a) -5 (b) 11 (c) -1.18 (d) -29.4
d
Which is the fourth biggest value? (a) 788 (b) -2/35 (c) -0.3 (d) 5 (e) -3
c
Which is the fourth biggest value? (a) 4 (b) 4/5 (c) -0.01 (d) -0.02607
d
What is the second biggest value in 2, -5, -1, -4436?
-1
What is the third biggest value in -106, -1/2, -2/25, 1/3?
-1/2
What is the third biggest value in -62, 0.1, -3/37?
-62
What is the smallest value in -2.6, -12014, -0.4?
-12014
What is the smallest value in -4, 17, 3, -0.4, 0.2, 52/7?
-4
Which is the third biggest value? (a) 3 (b) -678 (c) 3/8 (d) 0.12
d
What is the fifth biggest value in -5, -0.4, -0.1, 3/2, -10/11?
-5
Which is the biggest value? (a) -808 (b) -4/5 (c) 3
c
What is the smallest value in 36, 528, 11?
11
Which is the second biggest value? (a) 2/9 (b) 0.14 (c) 1/2 (d) -5 (e) -20 (f) 0.4
f
Which is the biggest value? (a) -1.5 (b) -4 (c) -1 (d) -0.92
d
Which is the second smallest value? (a) -0.3 (b) 530 (c) 3
c
What is the second smallest value in 327/4, -0.04, -0.4?
-0.04
Which is the third smallest value? (a) 138.3 (b) 15/8 (c) -0.4
a
What is the second smallest value in 2/11, -0.1, 3, -208?
-0.1
What is the smallest value in 6/7, 2/9, 1, 2?
2/9
Which is the fourth biggest value? (a) -322 (b) 2/17 (c) -0.5 (d) -32/3
a
Which is the fourth biggest value? (a) -1 (b) -7 (c) -4 (d) -194
d
What is the fourth biggest value in -4, -4/7, -0.12, 1.2, 4?
-4/7
Which is the second bigge | {
"pile_set_name": "DM Mathematics"
} |
ng 1 k and 1 q when two letters picked without replacement from qkloummkqkquoqqkq?
3/17
Calculate prob of picking 1 p, 2 f, and 1 b when four letters picked without replacement from {f: 3, p: 1, b: 2, n: 3, u: 1, a: 1}.
1/55
Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiii.
1
What is prob of picking 1 u and 1 e when two letters picked without replacement from uuuddueudededduude?
28/153
Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {r: 4, k: 2, g: 2, b: 1, x: 10}.
10/969
Four letters picked without replacement from {k: 5, u: 8}. Give prob of picking 4 u.
14/143
What is prob of picking 1 n and 1 z when two letters picked without replacement from zcxmmcnmcxxncxzxzn?
1/17
Two letters picked without replacement from tuuft. What is prob of picking 1 t and 1 f?
1/5
Two letters picked without replacement from xxxxxx. Give prob of picking 2 x.
1
Three letters picked without replacement from {x: 3, t: 5, k: 3}. Give prob of picking 2 t and 1 k.
2/11
Two letters picked without replacement from {w: 2, t: 1, r: 2, n: 6, a: 6}. What is prob of picking 2 t?
0
What is prob of picking 1 y and 1 p when two letters picked without replacement from zpbzzzzzzzybz?
1/78
Four letters picked without replacement from eepeeuzuugu. Give prob of picking 2 u, 1 g, and 1 e.
4/55
Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, m: 1}.
1/3
Three letters picked without replacement from {h: 1, n: 5, i: 1, d: 1, k: 1, a: 11}. Give prob of picking 1 i and 2 n.
1/114
Three letters picked without replacement from {g: 2, r: 4, o: 3, b: 1, h: 1}. What is prob of picking 1 g, 1 b, and 1 r?
8/165
What is prob of picking 2 w, 1 s, and 1 q when four letters picked without replacement from wmsqqw?
2/15
Two letters picked without replacement from kkkkkkkkkvkvvkkkkkkv. What is prob of picking 2 v?
3/95
What is prob of picking 2 m and 1 q when three letters picked without replacement from {q: 2, m: 4}?
3/5
What is prob of picking 2 y when two letters picked without replacement from qooiyoy?
1/21
What is prob of picking 1 m and 1 g when two letters picked without replacement from glhsmll?
1/21
What is prob of picking 1 e and 1 a when two letters picked without replacement from aaaaeaeeeaeae?
7/13
Calculate prob of picking 3 l when three letters picked without replacement from {l: 9, t: 9}.
7/68
Calculate prob of picking 2 e when two letters picked without replacement from {e: 7, l: 9}.
7/40
Four letters picked without replacement from {g: 2, a: 14, t: 1, j: 2, l: 1}. Give prob of picking 1 l, 2 j, and 1 t.
1/4845
Calculate prob of picking 3 v and 1 n when four letters picked without replacement from nynnyyvnnnvynvnvv.
4/119
Two letters picked without replacement from {q: 1, i: 1, m: 3, b: 2, f: 3, n: 2}. Give prob of picking 1 n and 1 b.
2/33
Three letters picked without replacement from {c: 10, q: 1, x: 1, m: 1}. Give prob of picking 1 c, 1 q, and 1 x.
5/143
Calculate prob of picking 1 p, 1 u, and 2 k when four letters picked without replacement from zqjkuzjpq.
0
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from otwwtnqrwwqqwtq.
4/105
What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 3, y: 2, c: 1, z: 1, l: 5, w: 1}?
1/26
Two letters picked without replacement from llclccfllcffl. Give prob of picking 2 l.
5/26
Calculate prob of picking 2 w, 1 j, and 1 l when four letters picked without replacement from wlllwljaj.
4/63
Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {v: 2, n: 1, o: 1, s: 2, t: 1}.
1/21
Two letters picked without replacement from yycycy. Give prob of picking 1 c and 1 y.
8/15
What is prob of picking 1 r and 2 i when three letters picked without replacement from mmoirmimmiimmml?
6/455
Calculate prob of picking 2 y, 1 b, and 1 a when four letters picked without replacement from {y: 2, n: 4, z: 1, a: 1, b: 6, m: 1}.
2/455
What is prob of picking 2 m when two letters picked without replacement from mgmqjarjrjjjmrj?
1/35
What is prob of picking 1 w and 1 n when two letters picked without replacement from njw?
1/3
Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 3, m: 8}.
24/55
Four letters picked without replacement from {r: 2, j: 1, c: 1, f: 5}. Give prob of picking 3 f and 1 j.
5/63
Four letters picked without replacement from {a: 3, e: 11, f: 4}. Give prob of picking 1 f and 3 e.
11/51
What is prob of picking 2 g when two letters picked without replacement from {i: 14, g: 5}?
10/171
What is prob of picking 4 y when four letters picked without replacement from {h: 8, y: 1, a: 11}?
0
Calculate prob of picking 2 q, 1 n, and 1 i when four letters picked without replacement from {n: 1, q: 4, t: 2, i: 2, v: 1, m: 2}.
4/165
Four letters picked without replacement from bbbbzwzwbzwbzbwwwbzw. Give prob of picking 2 z and 2 b.
56/969
Calculate prob of picking 3 c when three letters picked without replacement from ncnnccc.
4/35
Calculate prob of picking 1 k, 2 h, and 1 e when four letters picked without replacement from {k: 2, i: 1, l: 2, b: 1, e: 1, h: 13}.
52/1615
Two letters picked without replacement from txqdxfvqqfvfxqq. What is prob of picking 1 t and 1 d?
1/105
Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {m: 8, k: 2, w: 2}.
1/110
Two letters picked without replacement from {x: 6, h: 5, w: 2, m: 1, p: 1, r: 2}. Give prob of picking 2 r.
1/136
What is prob of picking 3 f and 1 v when four letters picked without replacement from qvffqff?
4/35
Three letters picked without replacement from {e: 1, x: 4, s: 3}. What is prob of picking 3 x?
1/14
Three letters picked without replacement from {y: 1, s: 1, n: 7, u: 10, z: 1}. What is prob of picking 1 z, 1 u, and 1 s?
1/114
Two letters picked without replacement from {o: 1, l: 1, m: 1, c: 2}. What is prob of picking 1 c and 1 m?
1/5
Three letters picked without replacement from ppthqji. Give prob of picking 1 j, 1 t, and 1 q.
1/35
Two letters picked without replacement from {o: 3, k: 4}. What is prob of picking 2 o?
1/7
Calculate prob of picking 1 g, 1 e, and 1 i when three letters picked without replacement from {c: 3, i: 2, e: 4, g: 1, u: 1, n: 1}.
2/55
Four letters picked without replacement from fyfyffyf. What is prob of picking 4 f?
1/14
What is prob of picking 3 h when three letters picked without replacement from {p: 7, r: 6, h: 5, c: 1}?
10/969
Two letters picked without replacement from {k: 3, r: 2}. What is prob of picking 2 r?
1/10
What is prob of picking 1 y, 1 t, and 1 i when three letters picked without replacement from {i: 4, t: 3, y: 1}?
3/14
What is prob of picking 2 y, 1 v, and 1 c when four letters picked without replacement from gahyvcgvh?
0
Two letters picked without replacement from {w: 5, p: 1, c: 3, t: 1, v: 3}. What is prob of picking 1 p and 1 v?
1/26
What is prob of picking 1 j and 1 m when two letters picked without replacement from {j: 2, m: 5}?
10/21
Two letters picked without replacement from iifvzeifezffzeev. What is prob of picking 2 i?
1/40
What is prob of picking 3 c when three letters picked without replacement from jrrcrbrrcrrjrrbjrjcj?
1/1140
Four letters picked without replacement from {o: 3, h: 5, x: 5}. What is prob of picking 1 h and 3 o?
1/143
Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, i: 14}.
2/51
What is prob of picking 1 e and 3 x when four letters picked without replacement from {x: 4, e: 16}?
64/4845
Three letters picked without replacement from {k: 1, a: 2, z: 1, m: 5, d: 2, s: 2}. What is prob of picking 1 d, 1 m, and 1 k?
5/143
Calculate prob of picking 1 c and 1 x when two letters picked without replacement from cccxcxxcxccxx.
7/13
Three letters picked without replacement from {o: 2, c: 2, w: 2, g: 2, y: 4}. What is prob of picking 2 y and 1 o?
3/55
Two letters picked without replacement from rwrrwwrro. What is prob of picking 2 r?
5/18
What is prob of picking 2 f and 1 s when three letters picked without replacement from fslssff?
9/35
What is prob of picking 1 a and 1 y when two letters picked without replacement from aaaayaya | {
"pile_set_name": "DM Mathematics"
} |
109046*y**2?
-35496*y + 102
Find the first derivative of -203*q**3*x**3 + 5*q**3 + 19129*q**2 - 67*q*x**3 - q wrt x.
-609*q**3*x**2 - 201*q*x**2
What is the second derivative of -15*x**5 + 5*x**4 + 409*x**2 - 227460*x?
-300*x**3 + 60*x**2 + 818
What is the second derivative of -3*b**3*m**2 - b**3 - 2*b*m**2 - 3191*m**2 - 180554*m + 2 wrt m?
-6*b**3 - 4*b - 6382
Find the third derivative of -15*f*g**3*w - 2*f*g**3 + 3*f*g**2 + 3*g**3 - 5892*g**2*w wrt g.
-90*f*w - 12*f + 18
What is the third derivative of 2*g**2*k**4 - 137*g**2*k**3 + 2*g**2*k + 12158*g*k**2 + 8*k**4 wrt k?
48*g**2*k - 822*g**2 + 192*k
Differentiate 7578*r**4 - 12165 wrt r.
30312*r**3
What is the first derivative of 3*h**2*k**2 + 389*h**2 + 8464*h*k**4 + 3*h*k - 387 wrt k?
6*h**2*k + 33856*h*k**3 + 3*h
Find the second derivative of 303*k*v**4 + 2*k*v**3 + 2*k*v**2 + 2*k*v + k + 755 wrt v.
3636*k*v**2 + 12*k*v + 4*k
What is the third derivative of -27*i**2*s**3 - 2*i**2*s**2 - 32*i*s**3 + 22179*i*s**2 - 4*s**4 + s**3 wrt s?
-162*i**2 - 192*i - 96*s + 6
Differentiate -112353*f**3 - 108408 with respect to f.
-337059*f**2
What is the third derivative of -16553*r**5 + 3*r**4 + 2*r**3 - 3341124*r**2 wrt r?
-993180*r**2 + 72*r + 12
What is the third derivative of -78226*v**5 + 1335*v**2 - 23?
-4693560*v**2
Find the second derivative of 2469013*j**4 - 2042898*j wrt j.
29628156*j**2
Find the first derivative of -35113*b*t - 3*b - 34*t - 5490 wrt b.
-35113*t - 3
Find the second derivative of -5*b**5 - 661*b**3*w + 116*b**3 + 5*b*w - 4*b + 127*w + 64 wrt b.
-100*b**3 - 3966*b*w + 696*b
Find the first derivative of 111*d**3 - 36*d**2 + 29695.
333*d**2 - 72*d
Find the third derivative of -3248665*z**3 - 571*z**2 - 278*z - 2.
-19491990
What is the third derivative of 1343506*j**2*t**3 - 4*j**2*t**2 + j**2 - 350*j + 40*t**2 wrt t?
8061036*j**2
What is the first derivative of -3836*j**2 - 46*j + 61652?
-7672*j - 46
What is the second derivative of -2800077*d**3 - 24836*d - 6?
-16800462*d
Find the first derivative of 4229*h**3 + 3*h**2 - 14040 wrt h.
12687*h**2 + 6*h
Find the first derivative of -o**2*t - 4*o**2 - 2*o*t + 888*o + 1074*t + 3 wrt t.
-o**2 - 2*o + 1074
Find the first derivative of -6*v**4 + 224*v**3 + 66*v**2 + 530251.
-24*v**3 + 672*v**2 + 132*v
What is the third derivative of -18147*g**3*u**3 + g**3*u**2 + 11*g**3*u - 6*g**3 + 3*g**2*u**3 - u**2 wrt u?
-108882*g**3 + 18*g**2
Find the second derivative of 4099522*a**2 + 3*a + 65623.
8199044
Differentiate 224*p**3 - 14*p**2 - 27581 wrt p.
672*p**2 - 28*p
What is the second derivative of -58*b**2*n**2 - 4*b**2*n + 493*b**2 - 18*b*n**2 - 4*n**2 - 4 wrt b?
-116*n**2 - 8*n + 986
Find the second derivative of 3083498*m**2 + 2203336*m.
6166996
Find the first derivative of u**4 + u**3 + 365*u**2 - 307*u + 313561.
4*u**3 + 3*u**2 + 730*u - 307
Find the third derivative of -1828190*c**3 - c**2 + 1521*c - 7 wrt c.
-10969140
Find the second derivative of 129726*t**2 - 5336*t + 12.
259452
What is the first derivative of 68685*n**4 + 10484?
274740*n**3
What is the derivative of -43017*z - 73510 wrt z?
-43017
Differentiate 98289*a**3 + 37107.
294867*a**2
What is the derivative of 3*b*d**3 + 44*b*d**2 - 3*b*d + 167*b + 479015*d**3 wrt b?
3*d**3 + 44*d**2 - 3*d + 167
What is the first derivative of -145*j**4 + 12*j**2*y**2 - 5*j**2*y - 175218*y**2 + 2*y wrt j?
-580*j**3 + 24*j*y**2 - 10*j*y
Find the third derivative of -66029*f**3 + 35085*f**2 wrt f.
-396174
Find the third derivative of 164069*y**4 + 411*y**2 + 185*y wrt y.
3937656*y
Find the third derivative of 4*f**3*n**2 + 181*f**3*w - 12*f**3 - f**2*n**2 + 4*f*n**2*w + 446*f*n*w wrt f.
24*n**2 + 1086*w - 72
Find the third derivative of 2*k**4*m**3 - 165506*k**4 - k**2*m**3 - 227*k**2*m - m**3 + 58*m + 1 wrt k.
48*k*m**3 - 3972144*k
Find the second derivative of -102444*b**2*w + 185*b*w - 2*w + 237 wrt b.
-204888*w
What is the derivative of -2*n**3*p*t + 51*n**3*p + 535*n**3*t - 2*n**3 - 6*n**2*p - 2*n*p - 38*n*t - 7*p wrt t?
-2*n**3*p + 535*n**3 - 38*n
Find the second derivative of -9887*v**4 + 13*v**2 + 412661*v wrt v.
-118644*v**2 + 26
What is the third derivative of -9127*f**5*m**2 + 14*f**2*m**2 + 525*f**2 wrt f?
-547620*f**2*m**2
Find the third derivative of -123*u**6 + 3*u**4 + 126*u**3 + 2739*u**2 + 36*u - 2 wrt u.
-14760*u**3 + 72*u + 756
What is the third derivative of -669414*s**3 + 2674*s**2 - 90*s wrt s?
-4016484
What is the third derivative of -71*d**4 - 370*d**3 - 71296*d**2 wrt d?
-1704*d - 2220
What is the first derivative of 9*l**2*s - 1600*l*s**2 + 834*s**2 - 3 wrt l?
18*l*s - 1600*s**2
What is the second derivative of 658*b**3*y**2 - b**3*y - 437*b**3 - 50*b**2*y**3 + 3*b**2*y + 5*b wrt y?
1316*b**3 - 300*b**2*y
What is the second derivative of 112*k*q**3 + 54*k*q**2 - k*q - k - 9*q**3 - q**2 + 10*q + 13001 wrt q?
672*k*q + 108*k - 54*q - 2
What is the third derivative of -98134*p**3 + 1745*p**2 - 7*p - 2 wrt p?
-588804
Find the first derivative of -718481*k**2 + 591811 wrt k.
-1436962*k
What is the first derivative of -805*a**3*p - 871*a**3 - 1464823*p wrt a?
-2415*a**2*p - 2613*a**2
What is the second derivative of 8*b**3 + 3410*b**2*m**2 - 3060*b*m**2 - b*m - 2*m**2 wrt b?
48*b + 6820*m**2
Find the third derivative of -3*k**3*n**3*x**2 + k**3*n**2 - k**2*n - 221*k*n**3*x - 23*k*n**2*x + 138*k*x**2 + 2*n**3 wrt n.
-18*k**3*x**2 - 1326*k*x + 12
Find the second derivative of -15*m**4 - 202750*m**2 + 1989*m - 8.
-180*m**2 - 405500
Find the third derivative of -123930*k**3 + 12557*k**2 + 2*k.
-743580
What is the first derivative of 8*m**3*u - 26352*m**3 - 60*m*u - 5*u**2 wrt u?
8*m**3 - 60*m - 10*u
Find the second derivative of -27147*d**5 + 718505*d.
-542940*d**3
What is the derivative of -3*o**2*t**3 - 7249*o*t**3 + 2*o + 67300*t**3 wrt o?
-6*o*t**3 - 7249*t**3 + 2
What is the second derivative of 37735*q**2 + 15052*q wrt q?
75470
What is the second derivative of 497*j**3*s**2 - 6*j**3*s + 41*j**3 + 3*j**2*s - j*s + 8*s**2 wrt s?
994*j**3 + 16
Differentiate 226577*l*w - 905445*l + 3*w with respect to w.
226577*l + 3
What is the third derivative of 65858*o**5 - 6*o**2 - 31*o - 1?
3951480*o**2
Find the third derivative of 42089*y**4 + 2*y**2 - 592787*y.
1010136*y
What is the third derivative of 116254*z**4 - z**3 - 229322*z**2?
2790096*z - 6
What is the derivative of 123*b**3*o + 451*b**3*v*x - b*v - 14*o*v*x + 8*o*v + v wrt x?
451*b**3*v - 14*o*v
What is the second derivative of 5*b*d**3 + b*d**2 - 4*b*d - 162*b + 2*d**3 + 519*d**2 - 4*d - 11 wrt d?
30*b*d + 2*b + 12*d + 1038
What is the first derivative of -109202*p**2*s + 5*p**2 + p*s - p + 10744 wrt s?
-109202*p**2 + p
Find the third derivative of -w**6 - 104*w**5 + 8*w**3 + 478*w**2 - 9*w wrt w.
-120*w**3 - 6240*w**2 + 48
Find the second derivative of 12718*v**3 - 24668*v wrt v.
76308*v
Find the third derivative of 60734*h**5*j**3 + h**4*j**2 + 3694*h**2*j**3 + h**2 + 5*h*j**3 - 3*j**3 wrt h.
3644040*h**2*j**3 + 24*h*j**2
Find the second derivative of -43260*i**3 - 1738*i + 6 wrt i.
-259560*i
Find the first derivative of 2*r*s*t - 83*r*s - 724*r*t + r + 52007*s*t - 2*s + 2*t wrt r.
2*s*t - 83*s - 724*t + 1
Find the third derivative of 5798*k**3*p**2*s + 8*k**3*s**2 - 3*k**3 + k**2*p**2*s + 301*k**2*p**2 - k**2*s**2 - 8*k*p**2 + p**2*s**2 - s wrt k.
34788*p**2*s + 48*s**2 - 18
Differentiate 142478*h - 38365 wrt h.
142478
What is the third derivative of 3*d**6 - 2*d**5 - 3016*d**4 - 13734*d**2?
360*d**3 - 120*d**2 - 72384*d
Find the third derivative of 2570*q**2*w**4 + 198*q**2 - 17*w**4 + 25*w**2 wrt w.
61680*q**2*w - 408*w
What is the second derivative of -2*g**3*m**2 + 3*g**3*m - 3*g**3 - 4*g**2*m**2 + 228*g*m**2 + 13*m**2 - 3*m + 8864 wrt m?
-4*g**3 - 8*g**2 + 456*g + 26
Find the first derivative of 13*p**3 - 4894*p**2 + 3*p + 405523.
39*p**2 - 9788*p + 3
Find the second derivative of i**2*z**3 - 2*i**2*z + 780221*i**2 + 13*i*z + 1105*z**3 wrt i.
2*z**3 - 4*z + 1560442
Find the second derivative of 1535*d**4 - 41*d**3 + 162*d + 1304 wrt d.
18420*d**2 - 246*d
Find the second derivative of 60883*c*j**3*s**2 + 16*c*j**3*s - c*j**2*s + 19*c*j*s + 2*j**3*s + 2*j**3 wrt s.
121766*c*j**3
Differentiate -n**4 + 51*n**3 - 93*n - 11112 wrt n.
-4*n**3 + 153*n**2 - 93
Differentiate -709*a**2*z**3 - 38*a*z**3 - 4*z**3 - 26622*z | {
"pile_set_name": "DM Mathematics"
} |
d the first derivative of 2007 - 473*a**2 + 1149*a**2 + 1143*a**2 wrt a.
3638*a
Let m be -3 - (4 - 11) - 2. Suppose 5*v + 2 = -3*a + 9, -v = 4*a + 2. What is the first derivative of v*l**2 - 10*l**m + 7 - 1 - 8*l**2 wrt l?
-32*l
What is the second derivative of -10 + 5 + 5 + 1018*h**3 - 13168*h + 9797*h**3 wrt h?
64890*h
What is the second derivative of 23*v + 11 - 426*v**2 + 2779*v**2 + 444*v**2 wrt v?
5594
Let t = -2763 - -2769. Let d(b) be the third derivative of 5/12*b**4 - b**2 + 0*b - 1/5*b**t + 0 + 0*b**3 + 0*b**5. What is the second derivative of d(y) wrt y?
-144*y
Let t be (2*-27 - 2)/(-2). Suppose 2*n - t = -18. Differentiate -n*s**4 + 14 + s**4 - 7*s**4 with respect to s.
-44*s**3
Let n be (24 + -20)/(2 - 0). What is the third derivative of -19*l**3 - 21*l**2 + 13*l**2 + 15*l**n + l**5 - 28*l**3 wrt l?
60*l**2 - 282
Let g(r) = -3*r**2 - 34*r - 3. Let n be g(-10). What is the second derivative of 15*p - n*p**2 - 65*p + 22*p + 22*p + 4 wrt p?
-74
Find the third derivative of 1520*h**4 + 582*h**2 + 36*h**4 + 231*h**2 wrt h.
37344*h
Find the second derivative of -730*m**2 - 5994*m + 435*m**2 + 7245*m - 749*m**2 wrt m.
-2088
Let v(f) be the third derivative of f**5/60 - 43*f**4/8 + 316*f**3 - 1265*f**2. Find the first derivative of v(b) wrt b.
2*b - 129
Let p be (-22)/(-14) - (-2 - (-55)/35). Find the second derivative of -23*y - 54*y - 2*y**2 + 222*y - 144*y**4 + p*y**2 + 2 wrt y.
-1728*y**2
Suppose 0 = -11*p + 93 + 193. Find the first derivative of p*y**3 + 0*y**3 - 3*y**3 + 604 - 607 wrt y.
69*y**2
Let g(o) = -o. Let b(u) = 4*u - 7. Let i be 4*6 - 15/3. Let j = -20 + i. Let q(y) = j*b(y) - 5*g(y). What is the first derivative of q(l) wrt l?
1
What is the third derivative of 226*s**2 - 3349*s**3 - 11927 + 11927 wrt s?
-20094
Let m(d) be the second derivative of 0*d**3 + 3 + 36*d + 5/2*d**2 + 37/5*d**5 + 5/12*d**4. What is the third derivative of m(g) wrt g?
888
Let q(v) be the first derivative of -3*v**5/5 - 65*v**4/2 + 1657*v**3/3 + v**2 + 1873. Find the third derivative of q(n) wrt n.
-72*n - 780
Find the second derivative of 1383 - 201*t**5 - 682 + 2*t - 679 + 2*t**4 - 22*t - 53*t wrt t.
-4020*t**3 + 24*t**2
Let m(o) = 26*o**2 - 12*o + 11. Let r be m(1). What is the first derivative of -148 - r*g**4 - 31 - 32*g**4 + 23 wrt g?
-228*g**3
Let f = -1762 + 1764. Let h(j) = j**3 - 3*j**2 - 2*j - 4. Let i be h(4). What is the second derivative of g**i - 3*g**4 + f*g + 0*g - 6*g wrt g?
-24*g**2
Let g = -47 + 52. Let t be (-114)/(-10) + (-8)/20. Find the second derivative of 6*p - 13*p - 31*p**g + t*p wrt p.
-620*p**3
Find the second derivative of -8134*m**2 - 1765*m + 90 - 284 + 96 + 98 wrt m.
-16268
Let y(g) be the third derivative of -29*g**7/210 - 11*g**6/20 + g**5/60 + 1660*g**3/3 - 19*g**2 + 7*g - 6. Find the third derivative of y(z) wrt z.
-696*z - 396
Let l(v) = -5858*v**2 + 13*v + 3110. Let p(k) = 1465*k**2 - 3*k - 778. Let a(x) = -2*l(x) - 9*p(x). What is the derivative of a(j) wrt j?
-2938*j + 1
What is the derivative of -6447*d**3 + 11109*d**3 + 424 + 1260 - 6781*d**3 wrt d?
-6357*d**2
Differentiate -43*i**3 - 12*i**3 - 2*i**4 - 4 + 675*i**3 + 47*i**3 - 120 wrt i.
-8*i**3 + 2001*i**2
Suppose -93*g + 98 = -91*g. What is the second derivative of 2*l**3 + g*l**2 + 52*l**2 - 83*l**2 - 18*l wrt l?
12*l + 36
Let k(r) be the first derivative of -1222*r**3 - 1245*r - 3545. Differentiate k(l) with respect to l.
-7332*l
Let j(f) be the third derivative of 191*f**6/30 + 11*f**4/24 - 11*f**3/6 - 1890*f**2. What is the second derivative of j(v) wrt v?
4584*v
Suppose -4*v + 32 = -3*n, -10*v = -12*v - 2*n + 2. Suppose 7*c - 6 = 4*c. Find the third derivative of -2*t**3 + c*t**3 + 53*t**5 - 38*t**v + 11*t**2 wrt t.
900*t**2
Let j = 363 + -358. What is the third derivative of 4*b**4 + 41*b**j - 567*b**2 + 616*b**2 - 3*b**4 wrt b?
2460*b**2 + 24*b
Let k(t) be the first derivative of -6230*t**3/3 + 5*t**2 - 112*t + 3627. What is the second derivative of k(b) wrt b?
-12460
Let f(b) = -3*b**2 + 2*b - 11. Let m be f(5). Let d = m - -80. What is the third derivative of -13*t**6 + d*t**6 + 6*t**2 - 2*t**6 wrt t?
-1320*t**3
Differentiate -1721 + 72*y**3 + 6*y**2 - 129*y**3 - 1186 with respect to y.
-171*y**2 + 12*y
Let w = 425 - 426. Let v(l) = 171*l**4 - 13*l - 5. Let r(a) = -a**4 + 2*a. Let m(q) = w*v(q) - 3*r(q). Find the second derivative of m(c) wrt c.
-2016*c**2
Let x(i) be the second derivative of 0*i**3 + 1/2*i**2 + 5/3*i**4 + 0*i**5 + 89*i + 19/6*i**6 + 0. Find the third derivative of x(c) wrt c.
2280*c
Let u(n) = n**3 - 11*n**2 + 8*n + 22. Let q(x) = x + 14. Let h be q(-4). Let p be u(h). Find the third derivative of -p*i + 18*i**6 - 2*i**2 - 5*i + 7*i wrt i.
2160*i**3
Let k be 6*3/(-12)*-2 - -4. What is the second derivative of -82*h + 50*h**3 - k*h**2 + h**4 + 3*h - 19*h**3 - 31*h**3 wrt h?
12*h**2 - 14
Suppose 7*d - 15*d + 32 = 0. Find the third derivative of 38*u**6 - 44*u**4 + 44*u**d - 3*u**2 - 3*u**2 wrt u.
4560*u**3
Let x(a) = a**5 + a**4. Let r(w) = 21*w**5 + 17*w**4 + 4*w**3 + 127*w**2 + 6. Let i(o) = -r(o) + 9*x(o). Find the third derivative of i(j) wrt j.
-720*j**2 - 192*j - 24
What is the third derivative of -6*t - 11*t**2 + 4*t + 2564*t**3 + 2613*t**3 + 3*t**2 - 1051*t**3 wrt t?
24756
Let a be 11/(-2)*(-8)/(-1)*-2. What is the third derivative of 26*m**2 + 52*m**5 + a*m**5 + 2*m + m**5 wrt m?
8460*m**2
Let z(p) = -p**2 + 6*p + 1. Let a be z(6). Let o be a*-4 - (-5 - 1). Find the second derivative of 7*l - o*l - 12*l - l**4 wrt l.
-12*l**2
Differentiate 0*w**2 + w**2 + 4743028 + 1688*w + 2*w**3 - 4751535 with respect to w.
6*w**2 + 2*w + 1688
Let x(z) be the third derivative of z**7/15 - z**6/120 + 383*z**3/2 + 5*z**2 - 127*z. Differentiate x(f) with respect to f.
56*f**3 - 3*f**2
Let r(k) = k**2 - k + 2. Let v be r(3). Let s be (v/(-14))/(5/(-35)). What is the second derivative of 10*q + 14*q - 8*q - 6*q**s wrt q?
-72*q**2
Let d = -192/17 - -712/51. Let r(s) be the first derivative of 0*s + 0*s**4 + 3 + d*s**3 + 0*s**2 + 4/3*s**6 + 0*s**5. Find the third derivative of r(z) wrt z.
480*z**2
Suppose 2*p = -m + 13 + 6, 13 = -p + 4*m. What is the second derivative of p*l**4 - l**3 + 23*l**4 + 80*l + 21*l wrt l?
360*l**2 - 6*l
Let k be -3 - (11/22 + (-13)/2). Find the second derivative of 10*a**3 + 2*a**5 - 24*a**3 + 8*a - a**k wrt a.
40*a**3 - 90*a
Let x(p) = -2*p**3 - 4*p**2 - 9*p - 25. Let b be x(-4). Find the third derivative of 15*k - 6*k + k**2 - 58*k**3 - 2*k**2 - b*k**3 wrt k.
-798
Let j(r) be the first derivative of 2*r**7 - 2*r**6/3 - 400*r**3 - 2238. Find the third derivative of j(n) wrt n.
1680*n**3 - 240*n**2
What is the second derivative of -38*t - 28*t - 31*t + 1092*t**2 - 87 + 96*t - 5 wrt t?
2184
Suppose -3*a = 5*n - 30, 2*a + 4 = 5*n - 1. Find the third derivative of 61*j**2 - 186*j**2 - 2*j + 77*j**n + 76*j**3 + 2*j wrt j.
918
Let o(s) be the third derivative of -s**8/336 + s**5/15 + 187*s**4/12 - s**3/6 + 415*s**2. Find the second derivative of o(q) wrt q.
-20*q**3 + 8
Let p(r) = -7716*r**3 + 20*r**2 - 2*r - 165. Let b(k) = 11574*k**3 - 28*k**2 + 3*k + 248. Let q(h) = -5*b(h) - 7*p(h). Find the second derivative of q(c) wrt c.
-23148*c
What is the first derivative of -3599*s**2 - 8249*s**2 + 1417*s**2 - 7101 wrt s?
-20862*s
Let p(c) be the second derivative of 0*c**5 + 17/5*c**6 + 64*c + 0 + 0*c**3 + 0*c**2 + 5/12*c**4. Find the third derivative of p(m) wrt m.
2448*m
Suppose 7*f - 8*f - 4 = 0. Let z be 2 + (-15)/f*4. What is the derivative of -1242 + 9*q + 1243 + z*q wrt q?
26
Suppose 73 = 3*q + 58. Let w(b) = 25*b**2 - 2*b + 1. Let v be w(4). What is the third derivative of 377*m**5 + 7*m**2 + 3*m**2 - v*m**q wrt m?
-960*m**2
Let q(g) = 502*g + 275. Suppose -54 = -37*t + 57. Let s(m) = 167*m + 91. Let l(f) = t*q(f) - 8*s(f). Find the first derivative of l(n) wrt n.
170
Let y be 6*(-1)/(0 - 2). Let j be -1*((-6)/4 - (-693)/(-42)). Differentiate -y*d - 7*d**2 + 54 - j + 3*d wrt d.
-14*d
Let b(u) be the third derivative of -1341*u**6/20 + 6469*u**3/6 - 5*u**2 + 5*u - 18. Differentiate b(g) wrt g.
-24138*g**2
Suppose -8*q + 3*q + 8 = -3*q. Let x(v) be the second derivative of 0*v**3 + 0 - 14*v - 1/2*v**q + 10*v**2. Differentiate x(p) with respect to p.
-12*p
Let d(g) be the third derivative of -5263*g**5/60 + 821*g | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 57094?
2, 28547
What are the prime factors of 298?
2, 149
List the prime factors of 17900.
2, 5, 179
What are the prime factors of 4651?
4651
List the prime factors of 1644.
2, 3, 137
What are the prime factors of 22587?
3, 7529
What are the prime factors of 48303?
3, 1789
List the prime factors of 2271.
3, 757
What are the prime factors of 9879?
3, 37, 89
What are the prime factors of 112668?
2, 3, 41, 229
What are the prime factors of 8799?
3, 7, 419
What are the prime factors of 31789?
83, 383
What are the prime factors of 12341?
7, 41, 43
What are the prime factors of 93069?
3, 383
What are the prime factors of 47695?
5, 9539
List the prime factors of 1089.
3, 11
What are the prime factors of 10495?
5, 2099
What are the prime factors of 2073?
3, 691
What are the prime factors of 3324?
2, 3, 277
List the prime factors of 23351.
19, 1229
List the prime factors of 952.
2, 7, 17
List the prime factors of 6971.
6971
List the prime factors of 466.
2, 233
List the prime factors of 5847.
3, 1949
List the prime factors of 506.
2, 11, 23
What are the prime factors of 73?
73
What are the prime factors of 1979?
1979
What are the prime factors of 737?
11, 67
What are the prime factors of 1401?
3, 467
List the prime factors of 145085.
5, 29017
What are the prime factors of 27?
3
What are the prime factors of 5661?
3, 17, 37
List the prime factors of 2525.
5, 101
List the prime factors of 17377.
17377
List the prime factors of 19697.
19697
What are the prime factors of 56766?
2, 3, 9461
List the prime factors of 653.
653
What are the prime factors of 14090?
2, 5, 1409
What are the prime factors of 326?
2, 163
What are the prime factors of 34309?
11, 3119
What are the prime factors of 74849?
29, 89
What are the prime factors of 2746?
2, 1373
What are the prime factors of 11987?
11987
List the prime factors of 68459.
17, 4027
What are the prime factors of 18661?
18661
What are the prime factors of 5920?
2, 5, 37
What are the prime factors of 455?
5, 7, 13
List the prime factors of 5108.
2, 1277
List the prime factors of 46761.
3, 11, 13, 109
What are the prime factors of 2624?
2, 41
List the prime factors of 563.
563
What are the prime factors of 2727?
3, 101
What are the prime factors of 3218?
2, 1609
List the prime factors of 1301.
1301
What are the prime factors of 66986?
2, 33493
List the prime factors of 35591.
35591
List the prime factors of 613.
613
List the prime factors of 2849.
7, 11, 37
What are the prime factors of 472?
2, 59
List the prime factors of 5478.
2, 3, 11, 83
What are the prime factors of 723?
3, 241
What are the prime factors of 18916?
2, 4729
List the prime factors of 5021.
5021
List the prime factors of 27063.
3, 31, 97
What are the prime factors of 960?
2, 3, 5
List the prime factors of 6582.
2, 3, 1097
List the prime factors of 2625.
3, 5, 7
What are the prime factors of 12211?
12211
What are the prime factors of 33215?
5, 7, 13, 73
What are the prime factors of 3613?
3613
What are the prime factors of 5531?
5531
List the prime factors of 92835.
3, 5, 2063
List the prime factors of 8358.
2, 3, 7, 199
What are the prime factors of 1064?
2, 7, 19
What are the prime factors of 9037?
7, 1291
List the prime factors of 89.
89
List the prime factors of 113.
113
List the prime factors of 123037.
61, 2017
What are the prime factors of 1046?
2, 523
What are the prime factors of 6752?
2, 211
What are the prime factors of 5438?
2, 2719
What are the prime factors of 32301?
3, 37, 97
What are the prime factors of 3114?
2, 3, 173
What are the prime factors of 6498?
2, 3, 19
List the prime factors of 563.
563
List the prime factors of 7899.
3, 2633
List the prime factors of 470.
2, 5, 47
List the prime factors of 6830.
2, 5, 683
What are the prime factors of 115?
5, 23
What are the prime factors of 10180?
2, 5, 509
What are the prime factors of 2484?
2, 3, 23
What are the prime factors of 6245?
5, 1249
What are the prime factors of 6583?
29, 227
List the prime factors of 100.
2, 5
What are the prime factors of 1159?
19, 61
List the prime factors of 19599.
3, 47, 139
What are the prime factors of 586?
2, 293
List the prime factors of 46403.
7, 947
What are the prime factors of 2372?
2, 593
What are the prime factors of 3907?
3907
What are the prime factors of 3709?
3709
What are the prime factors of 14124?
2, 3, 11, 107
What are the prime factors of 771?
3, 257
List the prime factors of 12893.
12893
List the prime factors of 29966.
2, 14983
List the prime factors of 4818.
2, 3, 11, 73
List the prime factors of 2146.
2, 29, 37
What are the prime factors of 31672?
2, 37, 107
List the prime factors of 1041.
3, 347
What are the prime factors of 1656?
2, 3, 23
What are the prime factors of 5623?
5623
What are the prime factors of 15689?
29, 541
List the prime factors of 1644.
2, 3, 137
What are the prime factors of 939?
3, 313
What are the prime factors of 2225?
5, 89
What are the prime factors of 68342?
2, 34171
List the prime factors of 245.
5, 7
What are the prime factors of 5004?
2, 3, 139
What are the prime factors of 867?
3, 17
List the prime factors of 10208.
2, 11, 29
What are the prime factors of 4977?
3, 7, 79
What are the prime factors of 68933?
29, 2377
List the prime factors of 7121.
7121
What are the prime factors of 3917?
3917
What are the prime factors of 528?
2, 3, 11
List the prime factors of 33172.
2, 8293
What are the prime factors of 9627?
3, 3209
What are the prime factors of 3758?
2, 1879
List the prime factors of 91733.
91733
What are the prime factors of 2382?
2, 3, 397
What are the prime factors of 21135?
3, 5, 1409
What are the prime factors of 996?
2, 3, 83
What are the prime factors of 6527?
61, 107
What are the prime factors of 57433?
79, 727
List the prime factors of 10217.
17, 601
What are the prime factors of 66897?
3, 7433
List the prime factors of 12942.
2, 3, 719
What are the prime factors of 11174?
2, 37, 151
What are the prime factors of 3636?
2, 3, 101
What are the prime factors of 1464?
2, 3, 61
What are the prime factors of 25748?
2, 41, 157
What are the prime factors of 8222?
2, 4111
What are the prime factors of 21383?
21383
List the prime factors of 483.
3, 7, 23
List the prime factors of 106798.
2, 67, 797
List the prime factors of 8498.
2, 7, 607
What are the prime factors of 11729?
37, 317
What are the prime factors of 10334?
2, 5167
What are the prime factors of 597?
3, 199
List the prime factors of 4075.
5, 163
List the prime factors of 111319.
13, 8563
What are the prime factors of 1249?
1249
What are the prime factors of 41364?
2, 3, 383
List the prime factors of 8930.
2, 5, 19, 47
List the prime factors of 761.
761
List the prime factors of 5153.
5153
What are the prime factors of 2583?
3, 7, 41
List the prime factors of 19829.
79, 251
List the prime factors of 87108.
2, 3, 7, 17, 61
What are the prime factors of 75890?
2, 5, 7589
What are the prime factors of 4452?
2, 3, 7, 53
List the prime factors of 37500.
2, 3, 5
List the prime factors of 12904.
2, 1613
List the prime factors of 4394.
2, 13
List the prime factors of 5461.
43, 127
List the prime factors of 10512.
2, 3, 73
What are the prime factors of 6835?
5, 1367
List the prime factors of 2158.
2, 13, 83
What are the prime factors of 43218?
2, 3, 7
What are the prime factors of 669?
3, 223
What are the prime factors of 85771?
7, 12253
List the prime factors of 8203.
13, 631
What are the prime factors of 66627?
3, 11, 673
What are the prime factors of 810?
2, 3, 5
List the prime factors of 230.
2, 5, 23
What are the prime factors of 804?
2, 3, 67
List the prime factors of 7664.
2, 479
What are the prime factors of 5694?
2, 3, 13, 73
List the prime factors of 6629.
7, 947
List the prime factors of 501.
3, 167
What are the prime factors of 221?
13, 17
List the prime factors of 152993.
152993
What are the prime factors of 1980?
2, 3, 5, 11
List the prime factors of 26772.
2, 3, 23, 97
List the prime factors of 4093.
4093
List the prime factors of 3020.
2, 5, 151
List the prime factors of 1686.
2, 3, 281
List the prime factors of 26594.
2, 13297
List the prime factors of 2128.
2, 7, 19
What are the prime factors of 7225?
5, 17
List the prime factors of 34746.
2, 3, 5791
What are the prime factors of 6343?
6343
Wha | {
"pile_set_name": "DM Mathematics"
} |
y = -12 for z.
-2
Solve 4*d - 26618 + 26606 = 0, -4*d = 6*z for z.
-2
Solve -6*o - 849 = -3*b - 831, 0 = b + 3*o + 4 for b.
2
Solve 5*p + 3*v = -0*v + 45, 98655*v - 28 = -3*p + 98653*v for p.
6
Solve 10*b = 3*t - 17*t + 2*t - 86 - 154, -20 = 3*b + t for b.
0
Solve x + 2211*z - 14 = 2212*z, -290 = 50*x + 5*z for x.
-4
Solve -2*o + 286*i - 34 = 580*i - 289*i, 71*i + 263 = 3*o for o.
-7
Solve f - 4*i + 7 = -6, 5*f - 2*i + 522 = 493 for f.
-5
Solve -23*c + 53 = -4*l, 0*l + 6*l = 5*c + 8*l - l + 36286 - 36305 for c.
3
Solve -7*b + 3 = -5*j, 4*b + 64 = -3*j + 95 for b.
4
Solve -10*c - 2228*k + 430 = -2232*k, 4*c - 159 = -k for c.
41
Solve 398 = -10*f + 348, 5*b = 8*f + 65 for b.
5
Solve 2*b + 5*q - 19 = 4*q, 45*q + 5 = -7*b + 47*q for b.
3
Solve 276102*c - 276098*c - 92 = 12*i, -2*c - 31 = 5*i for c.
2
Solve 46 = 2*x - 21*p, -p = 160*x + 164*x - 321*x - 4 for x.
2
Solve -5*p + 28 = -3*p, -277*q = -138*q - 144*q + p - 9 for q.
1
Solve 2*b - 218 + 114 = 0, -17*d + b + 4*b - 257 = -5*d - 13*d for d.
-3
Solve -326*k + 42 = g - 167*k - 146*k, -3*k = g - 2 for g.
-10
Solve 24 = -h + 4*k, 0 = -5*h - 2*k + 3804900 - 3804910 for h.
-4
Solve -u - 19 - 31 = 5*l + 4, 257 = 4*u - 23*l for u.
1
Solve 4*f + 240 = -60*x, -74*x = -2*f - 72*x + 8 for f.
0
Solve -21733*f + s + 184 = -21738*f, 0 = -3*f + 5*f - 4*s + 56 for f.
-36
Solve 0 = -4*u + 11*k + 13, -2*k + 6*k + 243 = -4*u + 211 for u.
-5
Solve -73*f - 5 = -5*x - 68*f - 15, 0 = -6*f + 4*f + 14 for x.
5
Solve -19*v - 48051*o = -48055*o - 666, -19 = -v - 3*o for v.
34
Solve 0 = 3*d + 2*n - 26, -50 = 203518*d - 203523*d - 5*n + n for d.
2
Solve -24*j - 30 = -35*j + 8*j + 3*l, -2*j - 3*l = -2*l - 26 for j.
12
Solve -29 = 32*j - 34*j - 3*r - 4, -r = 8*j - 21 - 68 for j.
11
Solve -2*l + c - 17 - 6 = 0, 18466*c = 3*l + 18402*c - 278 for l.
-14
Solve -25 = -30752*a + 30757*a, 2*a + 10 = 12*m for m.
0
Solve -3*z - 69 = 3*d, 322 = -14*d + 377*z - 374*z for d.
-23
Solve 6*n - 3*a = -219, -297 = 3*n + 50928*a - 50932*a for n.
1
Solve w + 416*v + 1016 = -649, 0*v - v - 3 - 1 = -w - 1 for w.
-1
Solve 4*f + q - 82060 = 4*q - 81748, -3*f - 22*q + 331 = 0 for f.
81
Solve -2*b - 25*t + 106 = -175, 6*t = -2*b + 14*t - 82 for b.
3
Solve -10*n + 256 = 3*y - 23*n, 4889 - 4851 = -2*n for y.
3
Solve -4*b - 13 + 1 = -0*b - m - 5 + 13, -3*b + 3939 = 164*m for b.
1
Solve l + 14*d = 8, 7*d + 3*d + d - 10*d = 0 for l.
8
Solve -6*l - 5*i + 60 = 3*l + 31*l, 11 = -5*l + 4*i for l.
1
Solve -5*j = -9*y - 79, -4*j - 2*y + 11 - 20 - 25 = -j for j.
-4
Solve 2*i + 50 = 10*z, z - 11971*i + 11973*i = -17 for z.
3
Solve 2*f + 45*i + 68 = 47*i, 15*f - 11*f - 5*i = -136 for f.
-34
Solve 0 = 5*z - 259346*k + 259351*k - 55, -4*z + 32 = k for z.
7
Solve 25*f - 7595 + 7665 = -5*d, 5*f + 3*d = -62 for f.
2
Solve -2*u + 67*p - 68*p = -34*p + 1784, 0 = u + 6*p - 222 - 101 for u.
-1
Solve 0 = -10*g + 11*g - 2*d + 31, -7112 = 5*g - 3*d - 6936 for g.
-37
Solve -19 = g - s, 420*g - 205*g = 214*g + 8*s + 9 for g.
-23
Solve -202*d + 97*d - 20 = -24*f - 101*d, 2*f + 2*d - 60 = 0 for f.
5
Solve 2*h - 3 = -2*j + 3, -6*j - 16 + 78 = 9*h - 4*j for h.
8
Solve 3*c + 45 = -100*f + 191*f - 96*f, 108*f = c - 314 for f.
-3
Solve -2*p + 8*d = -46, p + 688*d - 689*d - 5 = 0 for p.
-1
Solve f + 10 = -j, -3*f = -68*j + 64*j + 2*f + 14 for j.
-4
Solve 2*y = -32*m + 29*m - 21 + 71, -8*y + 74 = 5*m for m.
18
Solve -3*b - 2*v = -317 + 297, -v = 5*b - 3*v - 12 for b.
4
Solve 21*w - 17*w = -4, -6*r + r - w = -r + 89 for r.
-22
Solve 2*k - 6*j + 16 = 0, 7*k + 61112*j = 61120*j - 4 for k.
4
Solve 663306 - 663274 = -4*j - 3*l, 3*l = 4*j - 16 for j.
-2
Solve 23*f + 5*i = 10*i + 49 - 8, 3*f - 2*i = 4 for f.
2
Solve -10 = -5*a, 0 = v - 5*a - 44478 + 44492 for v.
-4
Solve 0 = h + v - 5, -4*h - 113 + 145 = -3*h + 10*v for h.
2
Solve -3*i - 7 = 422*f - 426*f + 1, -2 = -i + 2 for f.
5
Solve -93844*h = -2*v - 93910*h - 54, -2*h - 14 = -2*v for v.
6
Solve 610*c - 609*c + 275 = -27*u, 1 = 4*c - 2*u + 1 for c.
-5
Solve k + 323 = 4*u + 384, 0 = -2*u - k - 23 for u.
-14
Solve -2*g - 71 = 8*k + 7, 3*k - 4*k = g + 12 for k.
-9
Solve 233*k - f + 6 = 237*k - 33 - 14, 0 = 6*f + 18 for k.
14
Solve -8815*z + 8820*z + 154 = 18*l, -2*z = -7*l + 60 for z.
-2
Solve 6*h - 205 = 5*t + 4*h, -3*h - 26 = 12 - 53 for t.
-39
Solve 2*k + 7 = 5*g, 0*k - 70*k = g - 32 + 101 for g.
1
Solve 4*g + 28 = -2*z, -3*g + 5*z + 1383 = 1365 for g.
-4
Solve u + u - 41*c + 29 = 68, -3*u + 3*c = 0 for u.
-1
Solve -5*s + 25 = 6*j, -6*j - 128 = -2*s - 0*j - 160 for s.
-1
Solve -4*a - 184*n = -361*n + 178*n + 13, 2*a + 23 + 6 = -5*n for a.
-2
Solve -5*y = p - 65, 200*p - 197*p + 2*y = 26 for p.
0
Solve 7*l + 2*x - 36 = 0, 5*l + 206*x - 39 = 209*x for l.
6
Solve b = 3*g + 10, 19*g - 24*g - 11 = -2720*b + 2724*b for b.
1
Solve 248 = -36*b - 18*b + 18*b - 2*n, 5*b + 27 = -4*n for b.
-7
Solve 0 = 2*u + 5*q - 24, 0 = 4*u + 30*q - 48*q + 19*q - 12 for u.
2
Solve -87*r + 2*b - 30 = -83*r, 7*r - 2*b + 15 = 0 for r.
5
Solve -3*i + 5*n + 18 = 76, -11*i = 2*i - 5*n + 268 for i.
-21
Solve -105*i = -100*i - 2*n + 10, -14 = -i - 3*n - 10 + 11 for i.
0
Solve -37*f + 3 = -78*f + 40*f + b - 0*b - 2, 0*b = b for f.
-5
Solve -2*w - 6 = -3*s - 5*w, 45 = -10*s + 3*w for s.
-3
Solve 462*j - 14784 = -2*i, 5*i - 3*j - 2*j + 4*j - 3*j = -128 for i.
0
Solve 370*c - 742*c - 1 = -373*c + 4*m, 0 = -5*c + 2*m + 5 for c.
1
Solve -8 = 3*z + 5*c, 4*z + 1642*c - 1638*c + 8 = 0 for z.
-1
Solve 0 = -5*g + 4*p + 1838 - 1771, 0 = 2*g - 3*p - 31 for g.
11
Solve -5*v = -3*o + 141, 5*o - 1188*v = -1192*v - 98 for o.
2
Solve -140 = 260*w - 262*w + 3*j, 0 = 3*w - 4*j - 188 for w.
4
Solve -3*z - 15 = 3*j, -2*z - 1031 = 112*j - 691 for z.
-2
Solve -23077*d + 18 = -23082*d + 2*w, 0 = 3*d + 59*w - 531 for d.
0
Solve 3*q = -14*q + 68, -6*q = -2*l - 18 for l.
3
Solve 215*b - 218*b = -s + 42, -3*s + 2*s + 4*b + 55 = 0 for s.
3
Solve -8*s + 1261 = -n + 1245, -10 = 5*n - 5*s for n.
0
Solve -3*v + 16 = -2*n, 3*n - 501*v + 251*v + 9 = -253*v for n.
-5
Solve l - 2*l - 2*l = -4*l - q, 7*q + 9*q = 3*l + 12*q for l.
0
Solve 0 = x - 5*a - 109, -23257 = -3*a - 23320 for x.
4
Solve -5*f = -5*g - 30, -3*f - 72 = 30*g + 32*g - 285 for f.
9
Solve 2*c + 3*f = -5, 7*f - 44*f - 44 = -3*c + f + 9*f for c.
-1
Solve 4*j + 18*f + 42 = 0, 7093*j - 7091*j - f = 9 for j.
3
Solve 5*t = -32*d - 37, -20*d + 18*d + 6 = -7*t + 1 for d.
-1
Solve 21886*q - 21884*q = 4*k - 3*k - 32, -160 = -5*k for q.
0
Solve -4*g - 10 - 40 + 4 = 5*u, 5*u - 16*u + 2*g + 50 = 0 for u.
2
Solve -5*f - 34 = -6*l + 8*l - l, -6*l + 13 = -f for l.
1
Solve -7*t - 49 = 4*y, -5*y + 785 = 4*t + 851 for t.
1
Solve 2*i + 1946 - 1875 = -3*o, 2*i - 5*o - 113 = 0 for i.
-1
Solve -5 = 3*z - 2*z + 2*o, 4*z - 84200*o = -84204*o - 36 for z.
-13
Solve -4*y + 8*y = -5*v + 265, -315486*v + 315477*v - 3*y = -498 for v.
57
Solve 8*y = -5*d + 98, -54*y + 4*d + 47 = -49*y for y.
11
Solve 89 = 3*n - 2*i, 13684 = -5*n + 58*i + 13887 for n.
29
Solve -3*a + 55*y + 71*y = -38*y + 651, -3*a - 2*y = 153 for a.
-53
Solve 2*m + 70 = 6*l, -m + 30 = 874*l - 872*l for l.
13
Solve 3*q - 22 = -13*l, q + 1 + 4 = l + l + 2*q for l.
1
Solve 952*n - 3*l = 963*n - 176, 5*n - l = -24 for n.
4
Solve 3*j - 377 = -10*v, 0 = -6818*v + 6816*v + 4*j + 80 for v.
38
Solve 5*t + o = 45, 857*t - 855*t = 8*o + 60 for t.
10
Solve -5*q - 132 - 109 - 63 = -3*c - 11, 634 = -4*c - 11*q for c.
1
Solve 24*k - 108 = 7*k + 2*g, -162*g + 157*g + 9 = 4*k for k.
6
Solve -w - 5*i - 51 = 0, -22*w + 60*w - 29*w - 78 = -i - 317 for w.
-26
Solve -11*h - r - 76 = -3*r, 80885*h + 2*r - 82 = 80897*h for h.
-6
Solve -l + 6 - 7 = 4*h - 2*h + 3, 45*l + 180 = 0 for h.
0
Solve 0*p + 2*p - 19 + 156 = -5*a, -6*p = -3*a - 111 for a.
-29
Solve -21*y + 16*y + 135 = 5*o, -149*o - 178 = -405*o + 3*y for o.
1
Solve -12*o - 3*g = -66 - 78, 3*o + g + 5*g + 18 - 25 = 29 for o.
12
Solve 0 = -5*z - b - 3 + 19, 13*z - 55 = -5*b - 11 for z.
3
Solve 653*o + 2 = -4*u + 652*o - 18, 19 = -3*u - 2*u - 2*o for u.
-7
Solve 8 = -4*o + 4*x, 361*o - 4 = 119*o + 122*o + 119*o + 3*x for o.
-5
Solve 566651*k - 566653*k = -2*m - 4, -3*m - 2*k = 6 for m.
-2
Solve -2*g - 1489 = -3*t - 1517, -3*g - 3*t = 2*g - 7 for g.
5
Solve 128*d - 594 = 161*d, 0 = 4*w - 13*d - 250 for w.
4
Solve 11*h = 5*j + 17, -427 = 5*h - 4*j - 433 for h.
2
Solve 0 = 3*t | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in -71 - z**3 - 67*z**2 + 67*z**2.
-z**3 - 71
Collect the terms in -1 + 2 - 353*o**2 + 53*o**2.
-300*o**2 + 1
Collect the terms in -7*t**3 - 9*t**3 + 12*t**3 - 17*t**3 - t**3.
-22*t**3
Collect the terms in -10*u**2 - 4*u**3 + 9*u**2 + u**2.
-4*u**3
Collect the terms in -4*v + 4*v + 0*v**2 - 10*v**2.
-10*v**2
Collect the terms in -101*u - 5*u + 503 - 503.
-106*u
Collect the terms in -4*k**2 + 2*k**3 - 3*k**3 + 3*k**3.
2*k**3 - 4*k**2
Collect the terms in -211*b**3 + 17*b**3 - 113*b**3.
-307*b**3
Collect the terms in -38*x - 348*x - 1135*x - 1.
-1521*x - 1
Collect the terms in -2 + 2 - 130*k + 113*k.
-17*k
Collect the terms in -12931*i + 6466*i + 6467*i.
2*i
Collect the terms in 121*p**3 + p**2 - p**2 - 114*p**3.
7*p**3
Collect the terms in -50*d - 34 + 34.
-50*d
Collect the terms in 5*n**2 - 23 + 23.
5*n**2
Collect the terms in 4*c - 6*c + 6*c + c.
5*c
Collect the terms in 2 + 4 - 6 + 12*k.
12*k
Collect the terms in 123*b - 57*b + 121*b.
187*b
Collect the terms in -45*o**3 - 44*o**3 + 93*o**3.
4*o**3
Collect the terms in -4*i**3 - 32 - 7 - 12*i**3.
-16*i**3 - 39
Collect the terms in -59*s**2 + 22*s**2 - 16*s**2.
-53*s**2
Collect the terms in -10*k**2 + 15*k**2 - 3*k**2.
2*k**2
Collect the terms in 2 + 11*x + 8*x + 0.
19*x + 2
Collect the terms in 29 - 30 + 7*q**2 - 108*q**2.
-101*q**2 - 1
Collect the terms in -25 + 3*t**2 - 27 - 21 + 73.
3*t**2
Collect the terms in -1791 + 1791 + 3*j**3.
3*j**3
Collect the terms in 1064*l + 0*l**2 - 1064*l - l**2.
-l**2
Collect the terms in 98*t - 228*t - 110*t.
-240*t
Collect the terms in 5 + 0 - 5 - 20*u**2.
-20*u**2
Collect the terms in 2191*r**2 - 4386*r**2 + 2194*r**2.
-r**2
Collect the terms in 113*o**3 + 102*o**3 - 214*o**3.
o**3
Collect the terms in -108*m**3 + 53*m**3 + 59*m**3.
4*m**3
Collect the terms in -33*d**3 + 55*d**3 - 28*d**3.
-6*d**3
Collect the terms in 79*y**3 - 180*y**3 + 95*y**3.
-6*y**3
Collect the terms in 3*s**3 + 5*s**3 - 4*s**3.
4*s**3
Collect the terms in 0*q - q - 4*q + 0*q.
-5*q
Collect the terms in -28 - 10*a**2 - 5*a**2 + 28.
-15*a**2
Collect the terms in -7*i + 4 - 1 + 19*i - 2.
12*i + 1
Collect the terms in 438*g**2 - 24*g**3 - 438*g**2 - 2*g**3.
-26*g**3
Collect the terms in 85 - 45 - i - i - 40.
-2*i
Collect the terms in 2*y**3 - 17931 + 17931.
2*y**3
Collect the terms in 29*t**2 + 3*t**3 - 59*t**2 + 30*t**2.
3*t**3
Collect the terms in 5660*s - 2828*s - 2827*s.
5*s
Collect the terms in -2 + 2 + 10*f - 9*f.
f
Collect the terms in 14*b**2 - 48*b**2 + 10*b**2.
-24*b**2
Collect the terms in -4*p**3 - 14*p**3 - 13*p**3 + 2*p**3.
-29*p**3
Collect the terms in 38*g**3 - 73*g**3 + 38*g**3.
3*g**3
Collect the terms in 4*h - 2*h - 5*h.
-3*h
Collect the terms in -28*f**3 + 1 + 9 + 0 + 1.
-28*f**3 + 11
Collect the terms in -w**2 + 3*w**3 - 44*w**2 + 45*w**2.
3*w**3
Collect the terms in 14*d**2 - 42*d**2 + 24*d**2 + 30*d**2.
26*d**2
Collect the terms in 4*v**3 + 2 + 0 - 2.
4*v**3
Collect the terms in -3*l**3 + 0 + 3*l**2 + 0 + 10*l**3.
7*l**3 + 3*l**2
Collect the terms in -10*n**2 - 102*n + 102*n.
-10*n**2
Collect the terms in 236 - 15*a - 236.
-15*a
Collect the terms in 8552*w + w**2 + 15 - 8552*w.
w**2 + 15
Collect the terms in -4 + 5 - 2*h**2 - h**2 - 2*h**2.
-5*h**2 + 1
Collect the terms in 236 - 2*o**2 - 236.
-2*o**2
Collect the terms in 0 - 5 + 99*c**2 + 5.
99*c**2
Collect the terms in 10*o**2 + o**2 - 5*o**2 + 0*o**2.
6*o**2
Collect the terms in -k + 3*k - 8*k + 2*k.
-4*k
Collect the terms in -14*d**2 + 160*d**2 + 57*d**2.
203*d**2
Collect the terms in 26*x**2 - 70*x**2 + 10*x**2 + 30*x**2.
-4*x**2
Collect the terms in -276 - 276 + 15*a + 552.
15*a
Collect the terms in 5 + 11*m - 5.
11*m
Collect the terms in 6*q - 5*q - q - q - 4*q.
-5*q
Collect the terms in -27*j - 192 + 106 + 86.
-27*j
Collect the terms in 7*k - 5*k - 2*k + k.
k
Collect the terms in -63*c**2 - 58*c**2 - 43*c**2.
-164*c**2
Collect the terms in -2*z - 25 + 17 + 8.
-2*z
Collect the terms in 0 + 4 + 5*y - 2 + 8*y.
13*y + 2
Collect the terms in -8*n + 11*n - 9*n - 3*n.
-9*n
Collect the terms in 25*t**2 + 30*t**2 - 56*t**2.
-t**2
Collect the terms in -1094*d - 2330*d - 6470*d.
-9894*d
Collect the terms in -13643*b + 12*b**2 + 13643*b.
12*b**2
Collect the terms in 0*k**3 + 2*k**3 + 3*k**3.
5*k**3
Collect the terms in -86*g + 167*g - 86*g.
-5*g
Collect the terms in -405*f**2 + 186*f**2 + 221*f**2.
2*f**2
Collect the terms in 5 - 440*a + 440*a + 2*a**3.
2*a**3 + 5
Collect the terms in 222*v**2 - 221*v**2 + 0 + 0.
v**2
Collect the terms in -20*v**3 + 18*v**3 - v**3.
-3*v**3
Collect the terms in -18*h + 18*h + 27*h**3.
27*h**3
Collect the terms in 17*d - 7*d**2 - 17*d + 1.
-7*d**2 + 1
Collect the terms in -19*k + 13*k + 7*k.
k
Collect the terms in -2*m**2 - 262*m + 262*m.
-2*m**2
Collect the terms in 54*d + 53*d + 50*d + 5*d**2 - 157*d.
5*d**2
Collect the terms in 3*s**2 + 4*s**2 - 3*s**2 + 253 - 3*s**2.
s**2 + 253
Collect the terms in 105*p**2 - 182*p**2 + 165*p**2.
88*p**2
Collect the terms in -2*k + 6*k + 6*k.
10*k
Collect the terms in -4 + 4 + 0 + 3*w.
3*w
Collect the terms in 83*p**3 + 165*p**3 + 18*p**3.
266*p**3
Collect the terms in -41*d + 12*d + 7*d.
-22*d
Collect the terms in -5 - 8 - 29*a + 19*a.
-10*a - 13
Collect the terms in -3695*z + 3695*z - 6*z**3.
-6*z**3
Collect the terms in 11*o**2 + o**2 - 9*o**2 + o**2 - 5*o**2.
-o**2
Collect the terms in 3171*p**3 - 1586*p**3 - 1586*p**3.
-p**3
Collect the terms in 3*v**2 - 3*v**2 - 45*v**3.
-45*v**3
Collect the terms in 0*z**2 + 0*z**2 - z**3 - 5*z**3.
-6*z**3
Collect the terms in 14*q**3 - 15*q**3 - 121*q**2 + 121*q**2.
-q**3
Collect the terms in -2*c + 5*c + 8332 - 8332.
3*c
Collect the terms in -324*p - 3 - 6 + 321*p.
-3*p - 9
Collect the terms in 50*o**3 + 130*o**2 + 40*o**3 + 61*o**3 - 131*o**2.
151*o**3 - o**2
Collect the terms in 6059 + 2*w**3 - 6059.
2*w**3
Collect the terms in 17*a**3 + 14*a**3 - 13*a**3 + 2*a**3.
20*a**3
Collect the terms in -5*n + 1411 - 1411.
-5*n
Collect the terms in -47*a + 9*a + 22*a.
-16*a
Collect the terms in -46*u + 93*u - u + 77*u.
123*u
Collect the terms in 0*i**2 - 6*i**2 + 0*i**2 - 4*i**2.
-10*i**2
Collect the terms in 0*h**2 - 4506*h**3 + 4525*h**3 + 0*h**2.
19*h**3
Collect the terms in -15162 + 17*l + 15162.
17*l
Collect the terms in 3 - 3 - 61*x**3 + 62*x**3.
x**3
Collect the terms in -35*q**2 + 46*q**2 - 64*q**2.
-53*q**2
Collect the terms in 3*c + 4*c - 5*c + 6*c.
8*c
Collect the terms in 6*k + 5*k**3 - 6*k - 23*k**2.
5*k**3 - 23*k**2
Collect the terms in -2 + 8 + 12*r**2 - 6.
12*r**2
Collect the terms in -107*z + 312*z - 103*z - 107*z.
-5*z
Collect the terms in 3 - 14*c + 3*c + 17*c - 3.
6*c
Collect the terms in 3*g**2 - 16*g**2 + 3*g - 30*g**2 - 5*g.
-43*g**2 - 2*g
Collect the terms in 22*i + 27*i - 27*i.
22*i
Collect the terms in -73*t**2 - 40*t**2 - 93*t**2.
-206*t**2
Collect the terms in 284*z - 148*z - 138*z.
-2*z
Collect the terms in -6*c**2 - 438 + 438.
-6*c**2
Collect the terms in -130*s - 5 + 111*s + 1.
-19*s - 4
Collect the terms in -x - 11*x + 10*x + 4*x.
2*x
Collect the terms in 0*j**3 - 24 + 2 + 3*j**3.
3*j**3 - 22
Collect the terms in 40*m - 4*m**2 + 0*m**2 - 40*m.
-4*m**2
Collect the terms in 460 - 460 - 12*v**2.
-12*v**2
Collect the terms in 2 - 6 + 5*v + 4.
5*v
Collect the terms in -57*l**3 - 139*l**3 + 1 - 1.
-196*l**3
Collect the terms in -156*w + 3 + 145*w - 3.
-11*w
Collect the terms in 354 - 354 - 4*f + f**3 + 4*f.
f**3
Collect the terms in -4*g**2 - 9775*g + 9775*g - 3*g**2.
-7*g**2
Collect the terms in 10*k**2 - 13*k**2 - 78*k**2 - 47*k**2.
-128*k**2
Collect the terms in -12091*u**2 - 2*u + 12096*u**2 + 2*u.
5*u**2
Collect the terms in 1411 - 3*s**2 - 1411.
-3*s**2
Collect the terms in 5*g - 8*g + g + 7*g.
5*g
Collect the terms in j**2 + 2*j**2 + j**2 + 19*j**2.
23*j**2
Collect the terms in -2222 + 1093 + 1129 + 0*s - 2*s.
-2*s
Collect the terms in 5*m**2 + 3*m + m**2 - 3*m.
6*m**2
Collect the terms in 7*n - 67*n**2 + 111*n**2 - 45*n**2.
-n**2 + 7*n
Collect the terms in 8*a**2 + 4*a**2 + 0*a**2.
12*a**2
Collect the terms in -k - 2*k + 2*k + 6 + 0.
-k + 6
Collect the terms in -9*q**2 + 6*q**2 + 34*q**2.
31*q**2
Collect the terms in 2 - 4 + i**3 + 2.
i**3
Collect the terms in 216 - 5*i**2 - 216 + 2*i**2.
-3*i**2
Collect the terms in -72*h**2 + 93*h**2 - 62*h**2.
-41*h**2
Collect | {
"pile_set_name": "DM Mathematics"
} |
z(x) = x**3 - 4*x**2 - x + 11. Let f be z(4). Let n be g(f). Solve -n = -2*l + 6 for l.
4
Let b be 3/(((-24)/4)/18). Let l(u) = -2*u**3 - 19*u**2 - 10*u - 6. Let c be l(b). Solve c = -4*k + k for k.
-1
Let q be (8/3)/(4/6). Suppose q*k = -c + 3*c, 0 = -4*k - 3*c. Let x(h) = h**2. Let n be x(k). Solve l = -n*l - 5 for l.
-5
Suppose -2*t = -2*g, 2*g = -3*t + 7*g - 10. Suppose -7 = -y - t. Solve y*m = m + 4 for m.
4
Suppose m + c + 0 = 2, 2*m - 2 = -c. Suppose -w - 1 = -2*i + 1, m = -4*i - 2*w + 4. Let t = 105 + -102. Solve -i = -2*v + t for v.
2
Suppose -4*o - o - 30 = 0. Suppose -33*q = -38*q - 20. Let f be 0 + -2 - (o - q). Solve -4*y + 7*y = f for y.
0
Suppose -4*q + 2*q = -112. Let r be q/14 - (4 + -2). Solve d = 1 + r for d.
3
Let j(v) = -4*v + 52. Let x be j(-10). Let l = -89 + x. Solve 2*r = -l*r - 25 for r.
-5
Let w(i) = 28*i + 406. Let b be w(-8). Solve -s + 178 - b = 0 for s.
-4
Suppose 5*z = -0*z + 20. Suppose -z*y = -0*y - 3*y. Solve -v + y = 3 for v.
-3
Suppose 3*k = 4*s - 17, -k + 0 = 5*s - 7. Suppose 3*z = s*z. Suppose -o = -z*o. Solve 3*t - t = o for t.
0
Let m = 67 + -66. Let g = 0 - -2. Suppose 1 = r - g. Solve -m + r = -k for k.
-2
Let n(s) = 7*s + 22. Let b be n(-3). Let x(h) = -h**3 + 9*h**2 - 9*h + 6. Let m be x(8). Let a be -1*(m + 3 + -7). Solve -b + a = p for p.
5
Let z(n) = -n - 9. Let m be z(-12). Suppose -2*o = m*o - 125. Solve 4*j = -j + o for j.
5
Let d(l) = l**2 + l. Suppose 4*w = 3*o - 1, 0*w = -w - o - 2. Let n be d(w). Let g(k) = 2*k**2. Let p be g(1). Solve n = p*i + 2 + 2 for i.
-2
Let w(g) = -g**2 - 3*g - 1. Let s be w(-4). Let t(l) = -10*l + 4*l + l**2 + 5*l + 6 + 4*l. Let i be t(s). Solve -i = -4*c - 4 for c.
3
Let k = 3 - -7. Solve 5*p = 10*p + k for p.
-2
Let i(m) = -m**3 - 2*m**2 + m + 17. Let j be i(-4). Solve -48*l + j*l = 6 for l.
-2
Let p = -25 + 27. Suppose -5*t + 0*n = -p*n - 17, -37 = -5*t - 3*n. Let u be 9 + t/(-10)*-8. Solve -3*g = -u - 2 for g.
5
Suppose 44*c - 12 = 40*c. Let z(h) = 3*h - 7. Let k(f) = 2*f - 6. Let r(n) = 4*k(n) - 3*z(n). Let o be r(-5). Solve -c*l + o = -7 for l.
3
Suppose -5*c + 2*c + 3 = 0. Let f be 0*(4/14 - 22/28). Let p be 6 - (c + (f - 0)). Solve -p*h = 11 + 9 for h.
-4
Let g(v) = -3*v**2 + 13*v - 7. Let l be g(4). Let d be ((-16)/(12/l))/2. Solve 2*j + d*j - 12 = 0 for j.
3
Let f(o) = o**3 - 12*o**2 - 25*o - 31. Let k be f(14). Let l = -7 + 13. Let w = k + l. Solve -w - 8 = 5*g for g.
-5
Suppose -8*h = -l - 4*h + 1, 0 = -4*h + 8. Solve -l - 6 = 5*x for x.
-3
Let u(o) = -o**2 + 26*o + 52. Let c be u(27). Solve 5*d + c = -0*d for d.
-5
Let t be (-16)/28 - 18/(-7). Solve -j + t = -1 for j.
3
Suppose -4*h = -5 + 1. Let y = 6 - h. Suppose -v - y = -13. Solve -w - v = w for w.
-4
Suppose -2*j = -4*n - 14, 2*n - 3*j = -4*j - 17. Let b(q) = q**3 + 6*q**2 - 3*q - 13. Let s be b(n). Solve -4*w - 17 = -s for w.
-3
Let r = -217 + 217. Solve -2*m + 2 = -r*m for m.
1
Let b(f) = -f. Let g be b(-2). Let v(q) = 5*q + 1. Let a be v(g). Suppose x = -2*x - d + a, 0 = x + 4*d - 22. Solve 0 = -x*p - 4 for p.
-2
Suppose 5 = -5*v, j + 2*v - v = 20. Suppose 30 = -j*t + 26*t. Solve -i = -3*i - t for i.
-3
Let t(l) = -2*l - 7. Let n be t(-6). Suppose 4*c - 35 = 5. Let w be n/c*(-16)/(-2). Solve 0 = -4*g + 16 - w for g.
3
Suppose k - 47 = -3*a - k, 2*a - 42 = 4*k. Let w = 19 - a. Solve s + w = -0 for s.
-2
Let n be 0 - 6 - (4 + (1 - 24)). Solve -n*l + 14 = 40 for l.
-2
Let c be (-34)/(-14) + (-52)/(-91). Solve 6 + 0 = -c*q for q.
-2
Let v be 6/2 + 6 + 8. Let q = -14 + v. Suppose 0 = q*l + 1 - 16. Solve -4*k = -l*k + 1 for k.
1
Let c(n) = n + 7. Let l be c(-7). Let z = 22 - 18. Suppose 3*a - 9 = -3*j, 0 = -a + z*j - 2*j. Solve l*k = -a*k for k.
0
Let k = -34 + 39. Let f be (-103)/(-5) + (-3)/k. Suppose 0 = -4*u + f - 4. Solve -2*a - u = -4*a for a.
2
Let q(i) = -9*i**3 - 15*i**2 + 26*i - 1. Let t(j) = 4*j**3 + 8*j**2 - 13*j. Let w(b) = 2*q(b) + 5*t(b). Let d be w(-6). Solve o = -5 + d for o.
-1
Let c(g) = 6*g + 178. Let v be c(-29). Solve v*i = i for i.
0
Let v be -1*2 + (13 - -13). Let t be 3 + (6/v)/((-1)/4). Solve 2 = -t*m + 4 for m.
1
Let l = 659 - 659. Suppose -p = p - 4. Solve s + p = -l for s.
-2
Let k = 55 + -95. Let j = -36 - k. Let a = 3 - -3. Solve a = -j*x + x for x.
-2
Suppose -3*c + 81 - 285 = -5*q, -c + 114 = 3*q. Suppose -2*v - 35 = -q. Solve 2*l + v = -6 for l.
-4
Suppose 2*y + 5*o - 34 = 0, 7*y - 19 = 6*y - 3*o. Let d(c) = -c**3 + 9*c**2 - 15*c + 7. Let m be d(y). Solve m = -x - 4*x + 5 for x.
1
Let v be 1*6 + 3 + -6. Suppose 4*h - 11 = v*h. Let l = 7 + h. Solve 3*a = l - 6 for a.
4
Let m(h) = -h**2 - 46*h + 205. Let v be m(-50). Let o = 5 - 3. Suppose -p = -0 - o. Solve -t + p*t = -v for t.
-5
Let i(v) = 5 - 3*v**3 + 9*v**2 + 3*v**2 + 2*v**3. Let l be 5 + (-13)/(-2) - 1/(-2). Let j be i(l). Solve -5*c = -j - 10 for c.
3
Suppose b = -d + 5*d + 110, 0 = -b - 5*d + 65. Solve 2 = -b*g + 91*g for g.
2
Suppose -3*g = 3*o, -3*o + g = -5 + 17. Let u be 3 + (8/12 - o/9). Solve -5 = -u*j + 7 for j.
3
Let x be ((-20)/(-30))/(4/30). Let y = 13 - x. Suppose 0 = -2*b + 8 + y. Solve j = -j - b for j.
-4
Let q = 16 + -12. Suppose -18*d - q = -19*d. Solve b - 1 + d = 0 for b.
-3
Suppose 3*d + 6 = 4*k - 9, 5*k - d - 5 = 0. Suppose 6*p - 11*p = -10. Suppose -5*y + 4 + 3 = 4*b, 5*y - 19 = p*b. Solve -y*u - 6 = -k for u.
-2
Let s be ((-8)/(-5))/(84/525). Solve -2*k = -12 + s for k.
1
Let g(p) = 7*p - 8. Let c be g(6). Let a = -14 + c. Let m(h) = h - 44. Let k be m(48). Solve k*t = -t + a for t.
4
Let k(j) = -4*j + 1. Let s be k(4). Let z = 17 + s. Suppose -v - 5*h + h = -8, -4*h = -z*v - 8. Solve 3*l + v*l - 12 = 0 for l.
4
Let w be 48/(-9) + 4 + 28/(-6). Let r be (w/(-9))/((-8)/(-84)). Solve -19 = 4*a - r for a.
-3
Let j(n) = -n - 7. Let c be j(-5). Let u be 17/3 - c/(-3). Suppose l - u = 1. Solve 2*m = l*m for m.
0
Suppose -3*v + 3 = -9. Suppose 3*b - 5*b = -v. Suppose -d + h = -4*d + 10, -h + 4 = 0. Solve -d - 2 = -b*i for i.
2
Let b = 181 - 177. Solve r = -b*r - 25 for r.
-5
Let m(w) = w**3 - 7*w**2 - 8*w. Let t be m(8). Suppose t = 6*h - 11*h + 65. Let g = -5 + 7. Solve 5*x + h = -g for x.
-3
Let w be (12/(-7))/((-8)/28). Let n(m) be the second derivative of -m**4/12 + 5*m**3/6 + 9*m**2/2 + 12*m. Let f be n(w). Solve 5 = u + f for u.
2
Let k(s) be the first derivative of 6 + 0*s**2 + 1/4*s**4 + 0*s + 2/3*s**3. Let y be k(-2). Solve y = -5*p - 12 - 3 for p.
-3
Suppose -2*b - 4 - 4 = 4*u, 4*u - 5*b - 20 = 0. Solve u = -99*f + 97*f + 4 for f.
2
Let z = 112 + -108. Solve 0*i + z*i = 8 for i.
2
Suppose -5*f + 23 = 4*y, -4*y = -3*f - 11 + 44. Suppose 0 = 5*b - 5, f*x - 5*b = 9*x - 21. Let s be (-1)/(-2) - (-10)/4. Solve -s*q - x = -2 for q.
-2
Suppose 0 = 2*x + x - 12. Solve 10 = -x*a + 2*a for a.
-5
Let m be 345/21 + (-12)/28. Suppose t + 2*t - a - 44 = 0, -2*t - 2*a = -m. Solve -t = 2*u - 3 for u.
-5
Let n = 31 + -18. Suppose 223 = -5*w + 28. Let l = w - -42. Solve 5*f + l = n for f.
2
Suppose -o = -5*m + m + 20, 0 = -2*m - o + 16. Solve -m*n + 15 = -n for n.
3
Suppose -2*o - 1735 + 1793 = 0. Solve 0 = -8*f - o - 3 for f.
-4
Let z = -179 + 179. Solve 4*j + j + 5 = z for j.
-1
Suppose -41*b - 1302 = -72*b. Solve -36 = -3*f - b for f.
-2
Let g(s) = 2*s + 10. Let z be g(10). Suppose 4*v + v = -z. Let i be (18/(-27))/(2/v). Solve i = r - 2 for r.
4
Let s = -4 - -3. Let y = s - -5. Let u = 687 - 662. Solve u = y*m + m for m.
5
Suppose 19 = -2*j + 13. Let v be 72/(-2)*1/j. Solve -2*t + v = -6*t for t.
-3
Suppose 5*c + 0*h + 3*h - 23 = 0, -h = 5*c - 31. Suppose -3*u = -s + 7, 5*s = 2*u + u + 23. Suppose c*a = s*a. Solve a = r - 2 - 1 for r.
3
Let l = 37 + -35. Let w(p) = 3 + 7*p - p**l + 3 + 0 - 8*p. Let k be w(0). Solve 0 = -3*n + 3 + k for n.
3
Let g(n) = n**3 - n**2 - n + 2. Let h be g(2). Let b be 0/((0 + h)/(-4)). Suppose -3*m + 19 = 7. Solve m*d - 12 = -b*d for d.
3
Suppose 2*j - 10 = -2*b - j, 5*b - 12 = -j. Solve -7 = -b*m + 1 for m.
4
Let h(y) = y**3 + 12*y**2 + 11*y + 29. Let r be h(-11). Let v = 32 - r. Solve -v*j - 15 = -0*j for j.
-5
Let x be (3 - 24/9)*18. Suppose 4*u = -4*r - 20, 5*r + x - 1 = -3*u. Let m = u - -13. Solve -1 + m = -w for w.
-2
Suppose -4*v = -20 + 12. Solve 0 = -0*x + v*x + x for x.
0
Let g(r) = -r**2 - 11*r - 4. Let j be g(-10). Let i be (0 + j/10)*5. Solve i + 3 = -2 | {
"pile_set_name": "DM Mathematics"
} |
0, 1, 8
Let 7*q**4/4 - 103*q**3/4 - 39*q**2 + 47*q + 16 = 0. Calculate q.
-2, -2/7, 1, 16
Determine o so that -o**3/5 + 19*o**2/5 - 119*o/5 + 49 = 0.
5, 7
Factor -4*c**3/3 - 32*c**2 + 1680*c - 40768/3.
-4*(c - 14)**2*(c + 52)/3
What is b in -5*b**4 - 5*b**3 + 10*b**2 = 0?
-2, 0, 1
Solve -44*m**2 + 212*m - 144 = 0.
9/11, 4
Factor p**4 - 229*p**3 + 17082*p**2 - 383292*p - 2372760.
(p - 78)**3*(p + 5)
Determine w, given that 9*w**5/2 + 39*w**4/2 - 19*w**3 - 17*w**2 + 29*w/2 - 5/2 = 0.
-5, -1, 1/3, 1
Factor -s**2/2 - 34*s + 70.
-(s - 2)*(s + 70)/2
Determine v so that v**5/3 - 7*v**4/3 - 19*v**3/3 + 7*v**2/3 + 6*v = 0.
-2, -1, 0, 1, 9
Factor 39*d**3/5 + 153*d**2/5 + 144*d/5 - 12/5.
3*(d + 2)**2*(13*d - 1)/5
Factor 2*k**5/3 + 20*k**4/3 + 34*k**3/3 + 16*k**2/3.
2*k**2*(k + 1)**2*(k + 8)/3
Factor -3*w**2/7 - 852*w/7 - 849/7.
-3*(w + 1)*(w + 283)/7
Suppose 40*x**3/3 + 15*x**2 - 235*x/3 - 10 = 0. What is x?
-3, -1/8, 2
Determine a so that -10*a**2 - 45*a - 20 = 0.
-4, -1/2
Factor 25*c**3/2 - 65*c**2 + 125*c/2 - 10.
5*(c - 4)*(c - 1)*(5*c - 1)/2
Suppose -8*w**3/11 - 6*w**2/11 + 18*w/11 - 4/11 = 0. What is w?
-2, 1/4, 1
Determine f so that -27*f**2 + 33*f/5 + 102/5 = 0.
-34/45, 1
Factor -m**4/5 + 2*m**3 - 23*m**2/5 + 14*m/5.
-m*(m - 7)*(m - 2)*(m - 1)/5
Solve 3*z**4 + 9*z**3 - 156*z**2 - 756*z - 864 = 0.
-6, -3, -2, 8
Suppose -3*b**4 - 111*b**3 - 1293*b**2 - 5901*b - 8820 = 0. What is b?
-20, -7, -3
Factor 165*t**2 - 201*t + 36.
3*(t - 1)*(55*t - 12)
Suppose -r**3/2 - 5*r**2 + 156*r - 288 = 0. What is r?
-24, 2, 12
Determine h so that -2*h**3/17 - 12*h**2/17 - 18*h/17 = 0.
-3, 0
Determine p, given that -4*p**4 - 32*p**3 + 612*p**2 + 5840*p + 5200 = 0.
-10, -1, 13
Factor -5*d**4 + 20*d**2.
-5*d**2*(d - 2)*(d + 2)
Solve -4*a**5 + 88*a**4 + 412*a**3 + 128*a**2 - 624*a = 0 for a.
-3, -2, 0, 1, 26
What is t in -605*t**5/2 + 1705*t**4/2 + 3625*t**3/2 - 5405*t**2/2 - 5920*t - 2560 = 0?
-1, 32/11
What is i in 2*i**4/13 + 84*i**3/13 + 794*i**2/13 - 1848*i/13 + 968/13 = 0?
-22, 1
Factor 4*n**3 + 54*n**2/7 + 24*n/7 - 2/7.
2*(n + 1)**2*(14*n - 1)/7
Solve -2*j**4/5 - 2*j**3 + 2*j**2/5 + 2*j = 0 for j.
-5, -1, 0, 1
Factor -5*j**3 - 60*j**2 + 135*j - 70.
-5*(j - 1)**2*(j + 14)
Factor -i**3/4 - 377*i**2/4 - 94*i.
-i*(i + 1)*(i + 376)/4
Factor -3*y**4 + 36*y**3 - 129*y**2 + 180*y - 84.
-3*(y - 7)*(y - 2)**2*(y - 1)
Factor -m**3/2 - 11*m**2/2 - 19*m/2 - 9/2.
-(m + 1)**2*(m + 9)/2
Factor -4*z**2 - 64*z - 60.
-4*(z + 1)*(z + 15)
Suppose -4*b**4/7 - 616*b**3 - 166012*b**2 = 0. Calculate b.
-539, 0
Find f such that 12*f**5 - 35*f**4 - 268*f**3 + 269*f**2 + 46*f - 24 = 0.
-4, -1/3, 1/4, 1, 6
Factor k**3/8 + k**2/4 - 13*k/8 + 5/4.
(k - 2)*(k - 1)*(k + 5)/8
Let 2*m**2/19 - 16*m/19 + 30/19 = 0. Calculate m.
3, 5
Solve 75*x**3 + 70*x**2 - 75*x - 70 = 0.
-1, -14/15, 1
Factor 5*m**4 - 20*m**3 - 55*m**2 - 30*m.
5*m*(m - 6)*(m + 1)**2
Suppose -44*x**5 + 79*x**4 + 663*x**3 + 326*x**2 - 604*x + 120 = 0. What is x?
-2, 1/4, 6/11, 5
Let 5*u**4 - 5*u**3 - 35*u**2 + 5*u + 30 = 0. Calculate u.
-2, -1, 1, 3
Let -n**2 - 81*n - 80 = 0. What is n?
-80, -1
Find c, given that c**3/10 - 23*c**2/5 + 89*c/10 - 22/5 = 0.
1, 44
Factor -4*i**2/5 + 116*i/5 + 24.
-4*(i - 30)*(i + 1)/5
Factor -9*f**5/7 - 30*f**4/7 - 30*f**3/7 + 15*f/7 + 6/7.
-3*(f + 1)**4*(3*f - 2)/7
Suppose -o**2/8 - 37*o/4 - 585/8 = 0. What is o?
-65, -9
Factor 2*o**2/5 + 19896*o/5 + 49481352/5.
2*(o + 4974)**2/5
Factor -2*w**2/11 - 58*w/11 - 240/11.
-2*(w + 5)*(w + 24)/11
Factor 4*v**3/3 + 92*v**2.
4*v**2*(v + 69)/3
Determine o so that -o**5 + 7*o**4 - 15*o**3 + 9*o**2 = 0.
0, 1, 3
Suppose -3*l**4/4 - 267*l**3/2 - 22107*l**2/4 + 36846*l - 57132 = 0. What is l?
-92, 3
Solve 6*n**5/11 - 26*n**4/11 - 12*n**3/11 + 96*n**2/11 - 64*n/11 = 0.
-2, 0, 1, 4/3, 4
Solve s**2/9 - 1600*s/9 = 0.
0, 1600
Factor 5*p**2 - 250*p + 245.
5*(p - 49)*(p - 1)
Suppose -2*i**3/9 + 20*i**2/3 - 58*i/9 = 0. What is i?
0, 1, 29
Factor -n**2 - 2*n + 120.
-(n - 10)*(n + 12)
Determine h so that 15*h**4 - 275*h**3 - 3565*h**2 + 1395*h + 2430 = 0.
-9, -2/3, 1, 27
Factor 3*g**2 + 870*g + 63075.
3*(g + 145)**2
Factor 5*j**3 + 40*j**2 + 85*j + 50.
5*(j + 1)*(j + 2)*(j + 5)
Factor -6*y**2 + 27*y.
-3*y*(2*y - 9)
Factor 5*n**5 + 60*n**4 + 235*n**3 + 300*n**2.
5*n**2*(n + 3)*(n + 4)*(n + 5)
Factor z**4/5 + 3*z**3 + 81*z**2/5 + 37*z + 30.
(z + 2)*(z + 3)*(z + 5)**2/5
Suppose -3*h**2 + 123*h - 1044 = 0. What is h?
12, 29
Solve 5*v**2 - 55*v - 60 = 0 for v.
-1, 12
Suppose y**2 + 615*y = 0. Calculate y.
-615, 0
Find g such that 5*g**5/3 - 37*g**4/3 - 58*g**3 - 250*g**2/3 - 151*g/3 - 11 = 0.
-1, -3/5, 11
Suppose -j**4/2 - 25*j**3 - 457*j**2/2 + 2100*j - 3528 = 0. Calculate j.
-28, 3
Factor g**2 - 51*g - 52.
(g - 52)*(g + 1)
Factor c**3/2 + 127*c**2 + 16625*c/2 + 31250.
(c + 4)*(c + 125)**2/2
Determine k so that -6*k**4/5 - 156*k**3/5 - 168*k**2 + 2352*k/5 = 0.
-14, 0, 2
Factor 8*a**5 - 156*a**4 + 76*a**3.
4*a**3*(a - 19)*(2*a - 1)
Factor 4*x**2 + 632*x + 628.
4*(x + 1)*(x + 157)
Suppose 2*l**2 - 130*l - 268 = 0. What is l?
-2, 67
Let -f**3 - 304*f**2 - 605*f - 302 = 0. Calculate f.
-302, -1
Solve 2*h**2/5 + 92*h/5 + 816/5 = 0 for h.
-34, -12
Factor -5*f**2 + 34180*f - 58413620.
-5*(f - 3418)**2
Determine d so that -4*d**3 - 16*d**2 - 20*d - 8 = 0.
-2, -1
Find x, given that -2*x**4 - 16*x**3 + 2*x**2 + 16*x = 0.
-8, -1, 0, 1
Suppose 4*x**2 + 208*x = 0. Calculate x.
-52, 0
Find j such that -6084*j**2 + 21840*j - 19600 = 0.
70/39
Factor -12*p**3 - 189*p**2 - 132*p + 45.
-3*(p + 1)*(p + 15)*(4*p - 1)
Factor k**4 - 5*k**3 - 61*k**2 - 55*k.
k*(k - 11)*(k + 1)*(k + 5)
Factor -2*j**2 + 22*j - 60.
-2*(j - 6)*(j - 5)
What is q in 27*q**3 + 1884*q**2/5 + 1671*q/5 - 78/5 = 0?
-13, -1, 2/45
Factor -5*b**3 + 605*b**2 - 24075*b + 313875.
-5*(b - 45)**2*(b - 31)
Factor -2*u**3 + 150*u**2 - 2886*u + 2738.
-2*(u - 37)**2*(u - 1)
Solve -u**2/7 - 33*u/7 - 200/7 = 0 for u.
-25, -8
What is t in 3*t**3 - 27*t**2 + 33*t + 63 = 0?
-1, 3, 7
Suppose -2*y**5/5 - 826*y**4/5 - 1646*y**3/5 - 822*y**2/5 = 0. Calculate y.
-411, -1, 0
Suppose 4*u**4/3 - 128*u**3/3 = 0. What is u?
0, 32
Suppose -4*w**2 - 788*w - 3088 = 0. What is w?
-193, -4
Factor c**2 + 417*c - 2538.
(c - 6)*(c + 423)
Suppose 3*t**5 + 81*t**4 + 198*t**3 - 4566*t**2 + 12087*t - 7803 = 0. What is t?
-17, 1, 3
What is t in 75*t**2 - 1740*t + 10092 = 0?
58/5
Factor 2*u**3/19 - 6*u**2/19 + 6*u/19 - 2/19.
2*(u - 1)**3/19
Suppose -s**5/2 + 5*s**4 - 33*s**3/2 + 18*s**2 = 0. What is s?
0, 3, 4
Suppose 30*m**3 - 273*m**2 + 21*m + 54 = 0. Calculate m.
-2/5, 1/2, 9
Factor 5*a**3 + 855*a**2 - 3480*a + 3500.
5*(a - 2)**2*(a + 175)
Determine p so that 27*p**4/2 + 63*p**3 + 183*p**2/8 - 495*p/8 - 75/2 = 0.
-4, -5/6, 1
Find l, given that 3*l**2 + 15*l - 42 = 0.
-7, 2
Let -1536*x**5 + 128*x**4 + 14056*x**3 - 9292*x**2 - 12720*x - 2736 = 0. Calculate x.
-19/6, -3/8, 2
Factor -f**2/4 - 11*f/4 - 5/2.
-(f + 1)*(f + 10)/4
Factor 3*z**3/4 + 15*z**2/4 + 3*z.
3*z*(z + 1)*(z + 4)/4
Factor 2*f**3/17 + 12*f**2/17 - 126*f/17 - 784/17.
2*(f - 8)*(f + 7)**2/17
Determine d so that 42*d**2 - 843*d + 1518 = 0.
2, 253/14
Solve -27*z**3 + 1440*z**2 - 1884*z + 624 = 0 for z.
2/3, 52
Let 5*c**5/2 + 10*c**4 + 15*c**3/2 - 10*c**2 - 10*c = 0. What is c?
-2, -1, 0, 1
Suppose 2*r**4/5 + 892*r**3/5 + 100346*r**2/5 + 198024*r/5 + 98568/5 = 0. Calculate r.
-222, -1
What is g in 2*g**4 - 70*g**3 + 316*g**2 - 488*g + 240 = 0?
1, 2, 30
Factor 4802*t**5/3 - 34300*t**4/3 + 32340*t**3 - 45360*t**2 + 31590*t - 8748.
2*(t - 2)*(7*t - 9)**4/3
Solve -2*m**3 - 68*m**2/7 - 74*m/7 + 12/7 = 0.
-3, -2, 1/7
Let -3*h**4/5 + 27*h**3/5 + 408*h**2/5 = 0. What is h?
-8, 0, 17
Factor -2*b**4/15 - 4*b**3/3 - 22*b**2/5 - 24*b/5.
-2*b*(b + 3)**2*(b + 4)/15
Determine d so that -d**4 - 142*d**3 + 288*d**2 = 0.
-144, 0, 2
Determine m so that 21*m**5 + 11271*m**4 + 30483*m**3 + 24033*m**2 + 1596*m - 3204 = 0.
-534, -1, 2/7
Factor o**5/3 - o**3 - 2*o**2/3.
o**2*(o - 2)*(o + 1)**2/3
Suppose 2*a**2 - 50*a + 288 = 0. What is a?
9, 16
Factor -2*o**4/7 + 8*o**3 - 56*o**2.
-2*o**2*(o - 14)**2/7
Determine g, given that 5*g**4 - 35*g**3 - 45*g**2 + 35*g + 40 = 0.
-1, 1, 8
Factor 4*i**2 - 36*i + 56.
4*(i - 7)*(i - 2)
Solve -8788*d**4 + 10816*d**3 - 2184*d**2 + 160*d - 4 = 0 for d.
1/13, 1
Find g such that 3*g**4/2 - 3*g**3 - 9* | {
"pile_set_name": "DM Mathematics"
} |
et g(o) = -7*o. Let f(r) = -10*r**2. What is f(g(m))?
-490*m**2
Let h(n) be the first derivative of n**4/24 + n**2/2 - 1. Let i(f) be the second derivative of h(f). Let m(v) = v**2 - 2*v**2 - 13*v + 13*v. Calculate m(i(a)).
-a**2
Let t(y) = 9*y**2. Let v(x) = -x + 1. Let c(j) = 8*j - 9. Let r(a) = -2*c(a) - 18*v(a). Calculate r(t(n)).
18*n**2
Let t(n) = -n**2 + 0 + 0. Let p(u) be the third derivative of 2*u**2 + 0*u**3 + 0*u - 1/8*u**4 + 0. Determine p(t(y)).
3*y**2
Let c(a) be the second derivative of -1/6*a**3 + 0 + 0*a**2 + 2*a. Let f(i) = -10*i. What is f(c(w))?
10*w
Let t(x) = -2*x. Let d(k) be the third derivative of 29*k**4/24 - 3*k**2. What is d(t(i))?
-58*i
Let z(n) = n**2. Suppose h - 2*h = 16. Let x(c) = -10*c. Let j be 3/(-2)*6/(-3). Let b(y) = -2*y. Let o(u) = h*b(u) + j*x(u). Determine o(z(r)).
2*r**2
Suppose 6*u - 2*u = 4*j, 0 = 5*j + 2*u - 21. Let k(g) = -j*g + 2*g + 2*g. Let a(i) be the first derivative of -i**3 - 3. Give a(k(v)).
-3*v**2
Let m(u) = -20*u. Let y(x) be the first derivative of -x**5/60 - 4*x**3/3 - 2. Let g(k) be the third derivative of y(k). Calculate m(g(w)).
40*w
Let u(z) = -203*z. Let s(k) = -30*k. Give s(u(h)).
6090*h
Let f(m) = -3*m**2 - 22*m. Let l(q) = q**2. Determine f(l(p)).
-3*p**4 - 22*p**2
Let b(n) = 3. Let d(r) = r - 1. Suppose -4*k = k - 2*l + 11, 3*l - 4 = -5*k. Let c(m) = k*b(m) - 3*d(m). Let i(j) = j**2 - 4*j**2 + 5*j**2. What is c(i(s))?
-6*s**2
Let s(w) = 2*w. Suppose -11 + 38 = -3*i. Let l be (-3)/i + (-5)/(-3). Let b(z) = 6 - l*z**2 - 6. Determine s(b(x)).
-4*x**2
Let l(g) = -g**2 + g + 1. Let o(a) = -6*a**2 + 4*a + 4. Let t(m) = -4*l(m) + o(m). Let x(n) be the second derivative of -2*n**3/3 + 2*n. Determine x(t(s)).
8*s**2
Let y(v) be the first derivative of v**2 + 1. Let w(m) be the third derivative of 3*m**2 + 0*m + 0*m**3 + 0 - 1/12*m**4. What is w(y(s))?
-4*s
Let a(v) = 6*v. Let w(d) = -3*d - d + 2*d - d. Give a(w(u)).
-18*u
Suppose -70 = -4*m - 10. Let z(w) = -5*w + m*w**2 - 9*w**2 + 5*w. Let c(s) = -s. Give c(z(q)).
-6*q**2
Let x(a) = 0 - 28*a + 23*a - 1 - 4. Let b(c) = 5*c + 4. Let k(p) = -5*b(p) - 4*x(p). Let m(s) = -2*s**2. Calculate k(m(l)).
10*l**2
Let v(d) = 3*d**2. Let j(h) = h**2 - h - 1. Let m be j(0). Let z = 3 + m. Let x(i) = 0*i + z*i - 4*i. Calculate x(v(a)).
-6*a**2
Let w(d) = 2*d - 3. Let t(c) be the third derivative of c**4/8 - 5*c**3/6 - 10*c**2. Let k(r) = -3*t(r) + 5*w(r). Let s(l) = 28*l. What is s(k(n))?
28*n
Let w(j) = -78*j. Let m(y) = -y**2. What is m(w(q))?
-6084*q**2
Let u(f) = 3*f**2. Let r(z) = 4*z**2 + 54. Determine r(u(g)).
36*g**4 + 54
Let j(n) = 2*n**2 - 4*n**2 - 5*n**2 - 2*n**2. Let k(l) = 2*l**2. What is k(j(i))?
162*i**4
Let m(d) = 4*d**2 - 6*d**2 + 0*d**2. Let t(l) = -10 - 2*l**2 - 2 + 12. What is m(t(v))?
-8*v**4
Let y(q) = -q. Let m(p) = -2*p. Let v(x) = -x. Suppose k + 3 - 4 = r, 5*r + 4*k + 41 = 0. Let d(s) = r*m(s) + 12*v(s). Determine y(d(l)).
2*l
Let j(u) = -3*u**2 + 3*u**2 - 7*u**2. Let l be (8/(-3))/((-14)/21). Let o(i) = 5*i. Let c(a) = 4*a. Let w(p) = l*c(p) - 3*o(p). Determine w(j(r)).
-7*r**2
Let k(i) be the second derivative of -i**5/60 - 7*i**3/6 + 7*i. Let m(u) be the second derivative of k(u). Let j(o) = -12*o**2. Determine m(j(n)).
24*n**2
Let j(l) = -l. Let h(b) = 18*b. Let n(c) = -c. Let a(m) = 3*h(m) + 30*n(m). Give a(j(k)).
-24*k
Let d(j) = -3 - j + 3. Let c(q) = -6*q + 6*q - 17*q + 9*q**2. Let v(l) = -3*l**2 + 6*l. Let u(i) = -6*c(i) - 17*v(i). What is d(u(b))?
3*b**2
Let p = -161 + 161. Let z(g) be the third derivative of 0*g + g**2 + 0 + 1/60*g**5 + p*g**3 + 0*g**4. Let x(n) = -5*n**2. Determine z(x(j)).
25*j**4
Let s(t) be the second derivative of -t**7/1260 - t**4/3 - 6*t. Let n(w) be the third derivative of s(w). Let o(c) = 6*c. What is o(n(j))?
-12*j**2
Let n(v) = -2*v**2. Let k(j) = -2*j**2 + 51*j. Give k(n(x)).
-8*x**4 - 102*x**2
Let d(y) = -2*y**2 - y - 2. Let b(g) = -13*g**2 - 6*g - 12. Let j(x) = b(x) - 6*d(x). Let s(l) be the second derivative of -l**3/6 - l. Calculate s(j(f)).
f**2
Let p(g) = -6*g**2 + 16*g. Let d(l) = 6*l. Give d(p(s)).
-36*s**2 + 96*s
Let z(r) = -2*r. Let i(b) = 117*b**2 - 26*b + 26. Let m(w) = 13*w**2 - 3*w + 3. Let y(q) = 3*i(q) - 26*m(q). Determine z(y(g)).
-26*g**2
Let h = -2 - 0. Let g(c) = -2*c - 2. Let j be g(h). Let l(v) = -v**2 + v**j - 2*v**2. Let b(y) = -2*y. What is l(b(r))?
-8*r**2
Let i(z) = -12*z. Let r(q) be the first derivative of 3*q**2/2 - 20. Determine i(r(n)).
-36*n
Let i(n) = 41*n. Let v(l) = 7*l**2. Determine v(i(m)).
11767*m**2
Let f(p) = -31*p. Let j(z) = 4*z + 3. Let v(o) = o + 1. Let w(m) = j(m) - 3*v(m). Give f(w(d)).
-31*d
Let f(o) = o**2. Let l(z) = 601*z. Give l(f(r)).
601*r**2
Let k(v) = 16*v. Let d(i) be the second derivative of -5*i**4/12 + i. Calculate d(k(u)).
-1280*u**2
Let d(k) be the second derivative of k**3 - 3*k. Let l(h) = 2*h. Determine l(d(t)).
12*t
Let w(d) = 384*d + 1. Let c(o) = o**2. Determine w(c(f)).
384*f**2 + 1
Let r = 25 + -23. Let n(f) be the second derivative of 0*f**r + 2*f + 1/12*f**4 + 0 + 0*f**3. Let y(m) = m. Calculate n(y(d)).
d**2
Let s(l) be the third derivative of l**5/12 - l**2. Let h(w) be the second derivative of 0*w**2 + 0 - 4*w + 1/3*w**3. Determine s(h(b)).
20*b**2
Let m(v) be the second derivative of v**3/6 - v. Let k(r) be the third derivative of r**5/20 + r**2. Determine k(m(u)).
3*u**2
Let i(s) = -s**2 + 25*s**2 - 6*s + 6*s. Let x(z) = z. Determine i(x(j)).
24*j**2
Let o(v) = v - 4*v + 3*v - 2*v. Let y(i) = 10*i**2. What is o(y(g))?
-20*g**2
Let q(b) = 1. Let f(i) = 2*i - 8. Let u(p) = f(p) + 5*q(p). Let r(t) = -2*t + 2. Let n(c) = -3*r(c) - 2*u(c). Let j(w) = -w. Calculate j(n(l)).
-2*l
Let s(m) be the third derivative of m**4/12 + 4*m**2. Let w(q) = q**2. Determine s(w(v)).
2*v**2
Suppose 0 = t - 4*q - 24, -t + 3*q = t - 23. Let y(m) = -3*m + m - t*m. Let a(u) = 2*u**2. What is y(a(w))?
-12*w**2
Let w(v) = 4*v + 376. Let m(c) = c. Give w(m(b)).
4*b + 376
Let x(g) = 6*g**2 - 7. Let u(b) = 5*b**2 - 6. Let d(q) = 7*u(q) - 6*x(q). Let l(s) = -29*s. Determine d(l(f)).
-841*f**2
Let j(r) = -4*r. Let t(d) = 1274*d. Calculate t(j(y)).
-5096*y
Let s(d) = -347*d**2. Let x(z) = -z. Give x(s(v)).
347*v**2
Let a(g) = -2*g**2. Let q(d) = 8*d**2. Let j = -47 - -26. Let r(f) = -81*f**2. Let o(c) = j*q(c) - 2*r(c). What is a(o(l))?
-72*l**4
Suppose -5*z - 2*o = -167, -4 = -4*o - 0. Let b(w) = -4*w + z - 33. Let y(p) = -p**2. What is b(y(x))?
4*x**2
Let v(s) = 5*s**2. Let l(m) = -7*m**2. What is v(l(a))?
245*a**4
Let j(y) = -2*y - 71. Let i(b) = 3*b - 6. What is i(j(l))?
-6*l - 219
Let a(q) = 3*q + 8. Let m(w) = 3*w. Determine a(m(x)).
9*x + 8
Let w(r) = -5*r**2. Let h(j) = -5*j - 4. Let n(i) = -4*i - 3. Let t(f) = 3*h(f) - 4*n(f). Determine t(w(d)).
-5*d**2
Let h(x) be the second derivative of -x**3/3 + x. Let d = -2 + 2. Let c(m) = d*m - m - 3*m. Give c(h(q)).
8*q
Let i(l) = l**2. Let p(y) = 2*y**2 + 228. What is p(i(r))?
2*r**4 + 228
Let j(g) = 29*g**2 - 20*g**2 - 13*g**2. Let a(d) = 16*d**2. Give a(j(t)).
256*t**4
Let v(b) = 3*b**2. Let z(f) be the third derivative of 0*f**3 + 1/12*f**4 + 0 + f**2 + 0*f. Give z(v(s)).
6*s**2
Let g(q) = -2*q. Let u(s) = 4*s. Let f(t) = t. Let w(x) = x**2 + 3*x - 4. Let p be w(-3). Let d(r) = p*u(r) + 18*f(r). Calculate g(d(j)).
-4*j
Let r(h) = 3*h - 2*h + 2*h. Let d(f) be the second derivative of 2*f - 1/6*f**3 + 0 + 0*f**2. Give r(d(k)).
-3*k
Let x(n) = -80*n. Let f(j) = -2*j**2 - 219*j. Calculate x(f(v)).
160*v**2 + 17520*v
Let t(k) = 3*k**2. Let q(g) be the first derivative of 4*g**3/3 - 3. Determine t(q(r)).
48*r**4
Let w(c) = -c**2 - 382*c + 382*c. Let z(o) = -o - 3. Determine z(w(h)).
h**2 - 3
Let v(q) = -3*q**2. Let k(y) = -18*y**2. Give k(v(i)).
-162*i**4
Let v(o) = -2*o**2. Suppose 4*r = 5*r - 27. Let x(z) = -27 + r + 3*z. Give v(x(j)).
-18*j**2
Let u = 20 + -14. Let f(k) = 0 - u*k + 10*k + 0. Let c(a) = -3*a**2. Calculate f(c(s)).
-12*s**2
Let z(v) be the third derivative of v**8/5040 - v**5/20 + 6*v**2. Let c(q) be the third derivative of z(q). Let o(y) = 3*y**2. Calculate o(c(t)).
48*t**4
Suppose 0*y = -y + 1, 3*y = -5*l + 13. Let x(c) = 5*c**2 - 2*c**2 - 3*c**l - c**2. Let p(i) = 0*i + 2*i**2 + 0*i. What is x(p(w))?
-4*w**4
Let h(k) = -18*k. Let a(b) = 3*b**2. Calculate h(a(l)).
-54 | {
"pile_set_name": "DM Mathematics"
} |
5
Two letters picked without replacement from {o: 3, v: 1, z: 2, l: 1}. Give prob of picking 1 o and 1 z.
2/7
Three letters picked without replacement from {b: 2, t: 3, n: 1, x: 1}. Give prob of picking 1 t, 1 x, and 1 n.
3/35
What is prob of picking 3 j and 1 h when four letters picked without replacement from {h: 4, j: 6}?
8/21
What is prob of picking 2 t, 1 n, and 1 g when four letters picked without replacement from {g: 2, t: 4, n: 8}?
96/1001
Four letters picked without replacement from {r: 5, u: 2, h: 5}. Give prob of picking 4 r.
1/99
What is prob of picking 2 n when two letters picked without replacement from nrenernnenee?
5/33
Two letters picked without replacement from imiimwwwmmmw. What is prob of picking 1 w and 1 i?
2/11
What is prob of picking 2 m when two letters picked without replacement from {q: 1, m: 2, f: 1}?
1/6
What is prob of picking 3 s and 1 r when four letters picked without replacement from {s: 3, r: 2}?
2/5
Four letters picked without replacement from aarraarrarrraavaaam. What is prob of picking 3 r and 1 v?
35/3876
What is prob of picking 2 a and 2 d when four letters picked without replacement from {d: 8, a: 6, u: 1}?
4/13
Calculate prob of picking 3 m when three letters picked without replacement from mmmnnfffnmfffffmmfm.
35/969
What is prob of picking 3 k when three letters picked without replacement from kkyfkfkukkuukf?
5/52
Two letters picked without replacement from {c: 3, y: 1}. What is prob of picking 1 y and 1 c?
1/2
What is prob of picking 1 z and 1 r when two letters picked without replacement from {d: 1, u: 2, v: 1, r: 2, x: 2, z: 1}?
1/18
Calculate prob of picking 1 z and 3 s when four letters picked without replacement from {o: 3, s: 4, z: 2, d: 1, w: 7}.
2/595
Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {h: 4, v: 3, w: 2, g: 3, m: 3, p: 1}.
1/20
Two letters picked without replacement from qrqrrqrr. What is prob of picking 2 r?
5/14
Calculate prob of picking 1 n, 2 m, and 1 r when four letters picked without replacement from {m: 3, c: 2, n: 2, r: 4, y: 2}.
24/715
Two letters picked without replacement from udbal. Give prob of picking 1 u and 1 l.
1/10
Three letters picked without replacement from {j: 1, b: 1, s: 1, l: 1, o: 1}. What is prob of picking 1 s, 1 j, and 1 l?
1/10
Two letters picked without replacement from hhuhvaavhaghrvhavhva. What is prob of picking 1 v and 1 h?
7/38
Four letters picked without replacement from {s: 8, f: 2, e: 5}. Give prob of picking 2 s and 2 e.
8/39
Three letters picked without replacement from {v: 2, i: 1, a: 1, c: 1, h: 2}. What is prob of picking 1 i and 2 v?
1/35
What is prob of picking 2 b when two letters picked without replacement from {v: 1, b: 5, p: 1, g: 1, o: 3}?
2/11
What is prob of picking 1 x and 2 b when three letters picked without replacement from xxxttxxbxxbbxbbbexe?
45/323
Three letters picked without replacement from {f: 1, m: 1, s: 2, d: 2, l: 1}. What is prob of picking 1 m and 2 d?
1/35
Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {p: 2, t: 4, s: 2, y: 4}.
6/55
Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qhjqqqtqqwbqwwqj.
1/15
Two letters picked without replacement from {g: 5, e: 5, o: 3, d: 2, w: 5}. Give prob of picking 1 w and 1 e.
5/38
Calculate prob of picking 2 q when two letters picked without replacement from qqppqq.
2/5
Three letters picked without replacement from {s: 5, q: 7}. What is prob of picking 3 q?
7/44
Three letters picked without replacement from {c: 1, o: 2, x: 1, j: 1}. What is prob of picking 1 x, 1 c, and 1 j?
1/10
What is prob of picking 1 u and 1 m when two letters picked without replacement from ykkkkmuku?
1/18
Calculate prob of picking 2 r when two letters picked without replacement from vrggr.
1/10
Three letters picked without replacement from {n: 7, e: 2, f: 7}. Give prob of picking 2 f and 1 e.
3/40
What is prob of picking 3 b and 1 e when four letters picked without replacement from bbbebe?
8/15
Calculate prob of picking 2 z and 1 p when three letters picked without replacement from zezeucupee.
1/120
Two letters picked without replacement from {l: 2, r: 10}. What is prob of picking 2 l?
1/66
What is prob of picking 2 c when two letters picked without replacement from {k: 12, j: 1, c: 6}?
5/57
Two letters picked without replacement from atpupa. What is prob of picking 1 p and 1 a?
4/15
Two letters picked without replacement from ggllz. What is prob of picking 2 l?
1/10
Calculate prob of picking 1 b, 1 h, and 2 c when four letters picked without replacement from ncccccccbchcbb.
108/1001
What is prob of picking 1 a, 1 v, and 1 l when three letters picked without replacement from {q: 1, a: 3, v: 2, y: 2, l: 4, s: 3}?
24/455
Two letters picked without replacement from {n: 2, z: 1, c: 2, d: 1, i: 1, g: 2}. What is prob of picking 1 g and 1 z?
1/18
What is prob of picking 2 z and 1 x when three letters picked without replacement from zpzpdzzzppzdzxzpzzz?
55/969
Three letters picked without replacement from hhhshhhhsh. Give prob of picking 1 h and 2 s.
1/15
What is prob of picking 1 m and 3 b when four letters picked without replacement from bbbbbbbbbbmb?
1/3
Two letters picked without replacement from {q: 5, m: 2, r: 2, b: 1, k: 8}. Give prob of picking 1 b and 1 r.
2/153
Two letters picked without replacement from {t: 2, e: 5, d: 5}. What is prob of picking 1 t and 1 e?
5/33
Two letters picked without replacement from oqo. What is prob of picking 1 q and 1 o?
2/3
Calculate prob of picking 1 w and 3 u when four letters picked without replacement from wwwwwuwwuwuw.
1/55
What is prob of picking 1 s and 3 n when four letters picked without replacement from {n: 9, s: 11}?
308/1615
Three letters picked without replacement from wowyzokwwkooozo. Give prob of picking 1 w, 1 k, and 1 z.
16/455
Four letters picked without replacement from rcwwcwrwrw. Give prob of picking 2 w, 1 c, and 1 r.
2/7
What is prob of picking 1 r and 1 j when two letters picked without replacement from {v: 1, r: 1, j: 1}?
1/3
What is prob of picking 1 w and 1 c when two letters picked without replacement from {a: 1, w: 2, c: 1}?
1/3
Two letters picked without replacement from {e: 3, i: 3, v: 1, a: 3, l: 7, p: 1}. Give prob of picking 1 l and 1 e.
7/51
Four letters picked without replacement from wwwwwgwawwawwwwww. What is prob of picking 2 w, 1 g, and 1 a?
13/170
Three letters picked without replacement from {g: 7, y: 1}. Give prob of picking 1 y and 2 g.
3/8
What is prob of picking 2 z when two letters picked without replacement from zzzffuswz?
1/6
Three letters picked without replacement from {n: 15, k: 4}. Give prob of picking 2 k and 1 n.
30/323
Two letters picked without replacement from {t: 8, l: 4, x: 1, j: 7}. Give prob of picking 1 x and 1 l.
2/95
What is prob of picking 3 c when three letters picked without replacement from icririicicrciicivrmr?
1/114
What is prob of picking 1 p and 1 a when two letters picked without replacement from pxpyhgphagyy?
1/22
Two letters picked without replacement from eznsns. Give prob of picking 1 z and 1 e.
1/15
Two letters picked without replacement from jjyjnnjjjqjjyyjjjjj. What is prob of picking 1 n and 1 j?
26/171
What is prob of picking 2 a when two letters picked without replacement from {w: 2, s: 11, i: 1, a: 4, g: 1}?
2/57
Two letters picked without replacement from llaapazlapaz. Give prob of picking 2 z.
1/66
Four letters picked without replacement from {f: 5, g: 1, u: 5}. Give prob of picking 3 u and 1 f.
5/33
Three letters picked without replacement from {a: 6, f: 10, q: 4}. Give prob of picking 3 a.
1/57
What is prob of picking 2 o and 1 b when three letters picked without replacement from {o: 6, b: 2}?
15/28
What is prob of picking 3 u and 1 x when four letters picked without replacement from {u: 1, w: 4, p: 6, x: 5, r: 4}?
0
Calculate prob of picking 1 p and 2 n when three letters picked without replacement from nddnnnp.
6/35
Three letters picked without replacement from ieeiiiiddeieeeei. Give prob of picking 1 e, 1 d, and 1 i.
7/40
Two letters picked without replacement from zgtttzriizittzz. Give prob of picking 1 t and 1 r.
1/21
What is prob of picking 1 r and 2 g wh | {
"pile_set_name": "DM Mathematics"
} |
ich is the smallest value? (a) -1 (b) -0.4 (c) -706
c
Which is the second smallest value? (a) 2 (b) -1/3 (c) 959 (d) -4 (e) -1
e
Which is the third smallest value? (a) 1 (b) 3 (c) 5/6 (d) 4/9
a
Which is the third biggest value? (a) 0.5 (b) -4 (c) 2/15 (d) -33
b
What is the third smallest value in 1, -4, 5, -0.5, -0.28?
-0.28
Which is the third biggest value? (a) 1.5 (b) 2 (c) -4
c
What is the smallest value in -3, 0.1, 0.5, -0.83, 6?
-3
Which is the third biggest value? (a) -3/13 (b) 3 (c) -1.7 (d) 0
a
Which is the fourth biggest value? (a) -16 (b) 5 (c) -0.3 (d) 2/7
a
Which is the third biggest value? (a) 5 (b) -5 (c) 0.47
b
What is the second biggest value in -495, -4/7, -0.2, -0.3, 0?
-0.2
What is the second smallest value in 4/7, -0.4, 0.2, -0.034?
-0.034
Which is the smallest value? (a) -2/5 (b) -4/7 (c) 58
b
Which is the second biggest value? (a) 0.1 (b) 0.472 (c) -2/11
a
What is the second smallest value in 2/9, -3, 1/5, 1/4?
1/5
What is the third smallest value in 13, -0.07, 1, 4?
4
What is the fourth biggest value in -19/3, -2, -0.3, -3, 5?
-3
Which is the third biggest value? (a) 3 (b) -76 (c) 2
b
Which is the third smallest value? (a) -18 (b) -3 (c) 27.2
c
What is the second biggest value in 5, -492, 4/5?
4/5
What is the biggest value in 1/4, 0.6, 0.4, -2/703?
0.6
Which is the smallest value? (a) 5 (b) -2 (c) -5 (d) -0.3
c
What is the biggest value in 1/5, -2/19, -0.5, -0.3?
1/5
Which is the biggest value? (a) 3 (b) -3120 (c) 4/7
a
Which is the third biggest value? (a) -0.03 (b) 4/5 (c) -3 (d) -4
c
Which is the biggest value? (a) -0.5 (b) 5 (c) 0 (d) 3
b
Which is the fourth biggest value? (a) -3 (b) -0.1 (c) -46 (d) -2
c
What is the second smallest value in 2/5, 1, -11/4?
2/5
Which is the second smallest value? (a) 0 (b) 1/2 (c) 3/4 (d) 2/5 (e) 6/13
d
Which is the third biggest value? (a) -3 (b) -0.3 (c) -5 (d) 118
a
What is the third biggest value in -1/32, -0.6, 0.3?
-0.6
What is the biggest value in 0.3, 4/31, 0.2?
0.3
What is the fourth smallest value in -1/8, 0, -0.2, 14?
14
What is the third smallest value in 1/8, -2, -3/10?
1/8
Which is the fourth biggest value? (a) 0.3 (b) 2/17 (c) -604 (d) 0.1
c
What is the third smallest value in 1/9, 2/15, -4/5, -4, -3/5?
-3/5
Which is the smallest value? (a) -1 (b) -0.09 (c) -0.3 (d) 19/3
a
Which is the third biggest value? (a) -11 (b) -3/8 (c) -2/7 (d) 0.4
b
Which is the third smallest value? (a) -1 (b) 2/7 (c) -5 (d) 35
b
What is the third biggest value in 5, -10, 3/7, 4/3?
3/7
Which is the second biggest value? (a) 1/4 (b) -2/7 (c) -5/3 (d) 0.1 (e) -0.1
d
Which is the third smallest value? (a) 0 (b) -2/9 (c) 27 (d) -0.5 (e) -0.2
e
What is the biggest value in 10, -5, 11?
11
What is the second smallest value in 3/2, -7, -4, 14, -2?
-4
Which is the third biggest value? (a) -0.2 (b) -0.5 (c) -117 (d) -4
d
Which is the third smallest value? (a) 1/27928 (b) 3 (c) 5 (d) 0.5
b
What is the second biggest value in -5, 3/4, 0.4, -2?
0.4
Which is the biggest value? (a) 1/3 (b) 1/5 (c) -0.03
a
What is the biggest value in -4/9, 4, 11, 2/21?
11
What is the fourth biggest value in 5, 0, -5, 0.3?
-5
Which is the fourth biggest value? (a) -37 (b) 0 (c) 1 (d) -1 (e) 64
d
Which is the biggest value? (a) 1/10 (b) 2 (c) -1/4 (d) 2/13 (e) 0.06
b
What is the smallest value in -0.5, 2/15, 1, 5/2, 7?
-0.5
What is the smallest value in -5, -4, -6, -203?
-203
What is the fourth smallest value in -517, 2, 0, -0.2, -5?
0
What is the third biggest value in -6, 3, -15?
-15
What is the third smallest value in -947, 5, -2/11?
5
Which is the third smallest value? (a) -1 (b) -48 (c) 8 (d) -0.2 (e) -0.1
d
What is the third biggest value in 4, 0.4, 1/4?
1/4
What is the biggest value in -6, -6/11, 19?
19
What is the smallest value in 8, 4, 410?
4
Which is the second biggest value? (a) 2 (b) 50 (c) 0.8 (d) -0.5
a
What is the second smallest value in 4/3, -41, 0?
0
Which is the third smallest value? (a) -0.5 (b) 5 (c) 2/19
b
Which is the fifth biggest value? (a) 2/7 (b) -5 (c) 0.2 (d) 0.7 (e) -0.1
b
What is the second smallest value in 5, -5, -0.4, 0?
-0.4
Which is the fifth smallest value? (a) -3 (b) -3/8 (c) 2/3 (d) 49 (e) -0.2
d
What is the biggest value in 4, -1/62, 9?
9
What is the biggest value in 3, 74, 0.1?
74
Which is the fourth biggest value? (a) 1 (b) -4 (c) -2 (d) -182
d
Which is the third biggest value? (a) 2/3 (b) 1.6 (c) -10 (d) -5
d
Which is the second smallest value? (a) 3 (b) 3/2 (c) 1 (d) 5
b
What is the third smallest value in 3/4, -3/164, -3?
3/4
Which is the second biggest value? (a) -6 (b) -6/61 (c) 5
b
What is the second biggest value in -5, -0.4, -1/8, -81, 5/6?
-1/8
Which is the second biggest value? (a) 1/2 (b) -1 (c) 3/4 (d) -1/3
a
Which is the second smallest value? (a) -9 (b) -1/4 (c) -3/2 (d) -1 (e) -2
e
What is the biggest value in 4, -0.01, -5, -3/4?
4
What is the second biggest value in 0.2, -1368, 4?
0.2
Which is the third smallest value? (a) -0.3 (b) -4/7 (c) -386 (d) 5
a
Which is the fifth biggest value? (a) 2 (b) 4 (c) 83 (d) -3 (e) 0.41
d
Which is the fifth biggest value? (a) 24 (b) -0.3 (c) 4 (d) -2/5 (e) -2
e
What is the second smallest value in -1/6, -52, 1/4, -2?
-2
Which is the fourth biggest value? (a) 5 (b) 0.3 (c) 0.5 (d) -1 (e) 4/23
e
What is the third smallest value in 5/7, 0.1, -3?
5/7
Which is the smallest value? (a) 0.09 (b) -3 (c) 3/4
b
Which is the third biggest value? (a) 0.3 (b) -1/6 (c) 5/3
b
Which is the second biggest value? (a) 9 (b) 1 (c) -5 (d) 3 (e) -0.8
d
Which is the fourth biggest value? (a) -3.9 (b) 23 (c) -1/7 (d) -0.4
a
Which is the fifth biggest value? (a) -0.4 (b) -0.9 (c) -0.2 (d) -0.1 (e) -7
e
What is the fifth biggest value in -2, 0.3, -0.05, -2/15, -2/5?
-2
Which is the smallest value? (a) -5 (b) 0.3682 (c) 6/11
a
Which is the second smallest value? (a) 0.13 (b) -1 (c) 1
a
Which is the third smallest value? (a) 1/26 (b) 0.3 (c) -691
b
What is the second smallest value in 1/12, -8, 5?
1/12
What is the biggest value in -11, 206, 1/4, -1/4?
206
What is the fourth biggest value in -0.02, 5, 8, 6?
-0.02
Which is the second biggest value? (a) 0.1 (b) -4 (c) -13 (d) -0.1
d
Which is the second biggest value? (a) -1.9 (b) 0.3 (c) -2/11
c
Which is the third smallest value? (a) 5 (b) -3 (c) -314
a
What is the third smallest value in -4, -197, 1/11?
1/11
What is the smallest value in 0.8, -6, 4?
-6
What is the smallest value in 8, -0.5, -1/8, -2?
-2
Which is the second smallest value? (a) 15 (b) 37 (c) 0.3
a
What is the second smallest value in 2/7, 2/33, -0.07?
2/33
Which is the third biggest value? (a) 1/4 (b) 5 (c) -0.3 (d) -60 (e) -1
c
Which is the third biggest value? (a) -0.2 (b) 14.7 (c) 1
a
Which is the fourth biggest value? (a) -1 (b) -0.06 (c) 1 (d) 0.02
a
What is the fourth smallest value in -3, 2, -5/2, -0.2?
2
What is the third biggest value in 0, -0.3, -1/2183?
-0.3
Which is the third smallest value? (a) 4 (b) -37 (c) -0.3 (d) -0.1
d
Which is the third smallest value? (a) 5 (b) -3/4 (c) 0
a
What is the third smallest value in 0.2, 0.18, 9/20?
9/20
Which is the fourth biggest value? (a) 1 (b) -4 (c) 2 (d) 2/18367
b
Which is the fourth smallest value? (a) 3.1 (b) -10 (c) -4 (d) 1/2
a
Which is the biggest value? (a) -4 (b) 2/21 (c) -3 (d) -4/3
b
Which is the biggest value? (a) 3 (b) 5 (c) -76
b
Which is the third biggest value? (a) -12 (b) 3 (c) 2 (d) -0.5
d
What is the smallest value in -0.51, -2/3, -3/8, 8?
-2/3
Which is the second biggest value? (a) 129 (b) 1/9 (c) 2/9 (d) -5
c
What is the biggest value in -2/5, 2, -6, -8?
2
Which is the biggest value? (a) -1/5 (b) 0 (c) -3
b
What is the smallest value in 2/17, -7.2, 2, -2/9, 6?
-7.2
What is the fourth biggest value in 0, 2.8, 2/9, 3/4?
0
What is the smallest value in -4, 0.2, 3, 8.15?
-4
Which is the fifth smallest value? (a) -3 (b) -4 (c) 0.3 (d) 18 (e) 31
e
Which is the fourth biggest value? (a) -8.2 (b) -4 (c) 0.2 (d) 0
a
What is the second biggest value in 4, 0.1, -0.4?
0.1
What is the third smallest value in 0.4, | {
"pile_set_name": "DM Mathematics"
} |
z: 1, w: 1}. Give prob of picking 1 b, 1 x, and 1 j.
2/21
Two letters picked without replacement from tddtdiid. What is prob of picking 2 t?
1/28
Three letters picked without replacement from qbqgkgquguy. What is prob of picking 2 g and 1 q?
3/55
What is prob of picking 2 w when two letters picked without replacement from {b: 3, w: 13, r: 3}?
26/57
Two letters picked without replacement from {z: 2, g: 4, d: 1, c: 7}. Give prob of picking 2 g.
6/91
Two letters picked without replacement from {n: 2, a: 1, h: 1, m: 1, s: 2, j: 1}. Give prob of picking 1 h and 1 s.
1/14
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzggzvzggzvggzz.
5/17
Calculate prob of picking 2 u and 1 x when three letters picked without replacement from uxcxcccxpucpu.
9/286
Three letters picked without replacement from cumejeyyjmmeum. Give prob of picking 1 y, 1 m, and 1 j.
4/91
What is prob of picking 2 q when two letters picked without replacement from yyqqggqyqgqqyggq?
7/40
Calculate prob of picking 2 t when two letters picked without replacement from kkkkttkkkkkk.
1/66
Calculate prob of picking 1 q, 1 r, and 1 s when three letters picked without replacement from {g: 2, s: 1, q: 1, r: 1}.
1/10
What is prob of picking 2 h and 1 c when three letters picked without replacement from {c: 3, z: 3, h: 1, r: 2, v: 1}?
0
Three letters picked without replacement from {d: 2, i: 1, u: 1, x: 3, s: 7, l: 3}. What is prob of picking 2 d and 1 l?
3/680
What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 1, u: 1, m: 1, l: 1, w: 1}?
1/10
Calculate prob of picking 2 y when two letters picked without replacement from ypbpbbbppby.
1/55
Four letters picked without replacement from yiyruu. Give prob of picking 2 u, 1 i, and 1 r.
1/15
Calculate prob of picking 1 z and 1 x when two letters picked without replacement from xxrzrrxzxllxxrz.
6/35
Calculate prob of picking 1 g, 1 f, and 1 z when three letters picked without replacement from afdggzg.
3/35
Two letters picked without replacement from {o: 1, n: 1, v: 2, w: 1, b: 1, q: 2}. What is prob of picking 1 w and 1 o?
1/28
Four letters picked without replacement from {z: 1, x: 9, u: 6, k: 1}. Give prob of picking 3 u and 1 k.
1/119
Four letters picked without replacement from {e: 4, o: 6}. What is prob of picking 3 o and 1 e?
8/21
What is prob of picking 4 h when four letters picked without replacement from {h: 10}?
1
What is prob of picking 2 x and 1 w when three letters picked without replacement from {x: 2, c: 1, w: 4, t: 12}?
4/969
What is prob of picking 1 h and 1 i when two letters picked without replacement from higaghghihg?
8/55
Three letters picked without replacement from arrraar. What is prob of picking 2 a and 1 r?
12/35
What is prob of picking 1 j and 1 f when two letters picked without replacement from {a: 1, k: 1, j: 4, f: 2, l: 2, b: 2}?
4/33
What is prob of picking 2 j and 2 q when four letters picked without replacement from {j: 5, q: 9}?
360/1001
What is prob of picking 1 n and 1 t when two letters picked without replacement from {x: 6, n: 8, t: 3}?
3/17
Calculate prob of picking 2 v and 1 b when three letters picked without replacement from bbavvbbvvvvvabbvvvpb.
21/76
Four letters picked without replacement from {o: 3, r: 5}. What is prob of picking 2 r and 2 o?
3/7
Calculate prob of picking 3 a and 1 u when four letters picked without replacement from auaaaauu.
3/7
What is prob of picking 1 k and 2 i when three letters picked without replacement from ppppppkppipppippik?
1/136
Calculate prob of picking 1 x and 1 v when two letters picked without replacement from suarsxxauxvvuvvrsrux.
8/95
Two letters picked without replacement from {n: 11, t: 3, k: 1}. Give prob of picking 1 k and 1 n.
11/105
Two letters picked without replacement from {p: 11, h: 3}. What is prob of picking 1 p and 1 h?
33/91
What is prob of picking 3 p when three letters picked without replacement from {b: 3, p: 4, t: 6}?
2/143
Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {p: 2, n: 2, h: 2}.
1/10
Two letters picked without replacement from ciccccccicccccbccbn. Give prob of picking 2 i.
1/171
Two letters picked without replacement from joooojj. What is prob of picking 2 o?
2/7
Calculate prob of picking 2 l and 2 n when four letters picked without replacement from lnclwwllcwcllwlllcn.
3/323
Three letters picked without replacement from luguhlullggpgpphggg. Give prob of picking 1 p, 1 g, and 1 h.
14/323
Calculate prob of picking 2 g when two letters picked without replacement from ggggbgbg.
15/28
Calculate prob of picking 2 t when two letters picked without replacement from ktktktkk.
3/28
What is prob of picking 1 j and 1 t when two letters picked without replacement from rnjrntxrxtttfxtnfjf?
10/171
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {a: 8, f: 6, h: 1, s: 1, w: 4}.
24/95
What is prob of picking 2 x and 1 t when three letters picked without replacement from xxxxxtxt?
15/28
Two letters picked without replacement from gvduv. Give prob of picking 1 v and 1 u.
1/5
Calculate prob of picking 4 e when four letters picked without replacement from {e: 4, k: 3, z: 1, r: 3, l: 1, w: 3}.
1/1365
Four letters picked without replacement from ssninissnsnsnsnnswsn. Give prob of picking 1 w, 2 s, and 1 n.
96/1615
Four letters picked without replacement from {w: 9, c: 5}. Give prob of picking 4 w.
18/143
Three letters picked without replacement from {v: 9, c: 10}. What is prob of picking 1 v and 2 c?
135/323
Two letters picked without replacement from {s: 5, j: 3}. What is prob of picking 2 s?
5/14
What is prob of picking 1 u and 1 d when two letters picked without replacement from tumteetdmeb?
1/55
Calculate prob of picking 2 v when two letters picked without replacement from {p: 4, l: 3, v: 2}.
1/36
Calculate prob of picking 2 z and 2 e when four letters picked without replacement from ezezzzzz.
3/14
Calculate prob of picking 2 q and 2 t when four letters picked without replacement from {h: 4, d: 1, t: 5, q: 6}.
15/182
Three letters picked without replacement from {i: 3, k: 2, c: 4, q: 10}. Give prob of picking 3 i.
1/969
Three letters picked without replacement from {f: 2, j: 1, g: 2, h: 4, r: 3}. Give prob of picking 1 f, 1 j, and 1 r.
3/110
What is prob of picking 2 j when two letters picked without replacement from {t: 1, g: 2, z: 5, j: 1, q: 2, p: 5}?
0
What is prob of picking 2 y and 1 t when three letters picked without replacement from btykukbbbbtyquybukbt?
3/380
Four letters picked without replacement from jjjsjjjjjjjjjjssjjs. Give prob of picking 3 j and 1 s.
455/969
Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {m: 4, j: 3, u: 1}.
9/28
Four letters picked without replacement from ezhehhee. Give prob of picking 2 z and 2 e.
0
Four letters picked without replacement from {w: 2, a: 4, j: 8}. What is prob of picking 2 w, 1 j, and 1 a?
32/1001
Two letters picked without replacement from {w: 4, s: 4, u: 2}. Give prob of picking 2 u.
1/45
Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {h: 3, v: 1, q: 2, k: 1}.
2/21
Three letters picked without replacement from {w: 2, x: 4, n: 2}. Give prob of picking 2 n and 1 w.
1/28
Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {j: 3, t: 3, a: 3, y: 1, i: 3, g: 2}.
2/35
Two letters picked without replacement from qhhxtpkkq. Give prob of picking 1 t and 1 p.
1/36
What is prob of picking 2 k when two letters picked without replacement from xxxxxxxkkkkkkxkkkxk?
5/19
Four letters picked without replacement from {n: 3, w: 7}. What is prob of picking 4 w?
1/6
Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {n: 1, u: 2, t: 4, k: 3}.
4/105
What is prob of picking 1 p and 1 b when two letters picked without replacement from pvb?
1/3
Two letters picked without replacement from {b: 2, r: 1, n: 1, k: 1}. Give prob of picking 1 b and 1 r.
1/5
Two letters picked without replacement from {l: 3, t: 4}. Give prob of picking 2 l.
1/7
What is prob of picking 1 q, 1 b, and 1 i when three letters picked without replacement from {b: 6 | {
"pile_set_name": "DM Mathematics"
} |
50/3) assuming f is positive.
f**(-2665/72)
Simplify (i**(-21)*i*i**(9/7)*i**(-9/5)*i*i**(-14/5))**24 assuming i is positive.
i**(-18744/35)
Simplify ((u*u/u**2*u)**13*u**(-2/9)/(u*u**(-2/7)))/((u/u**(-2/5))**37*(((u/((u/(u/(u*u*u**4)))/u)*u)/u)/u)/u*u/u**8) assuming u is positive.
u**(-8422/315)
Simplify ((a/(a**(-1/4)/a))**(-14/11)*(a**4/a)/a**(3/7))/(a**(-1/5)*a*a*a**(-2)*(a**(-2/5))**(-9)) assuming a is positive.
a**(-2843/770)
Simplify (q**0)**(-32)/(q**(-3)/(q*q/((q*q**(1/3))/q)*q*q))*q**(-1/2)/q**(1/3)*(q**(-2)*q)/q*q**(-2/9) assuming q is positive.
q**(65/18)
Simplify (x/(x/(x**(-1/11)/x))*x**(-6))**(-35)/(x**(-6)/((x**(3/4)/x)/x))**(-2/51) assuming x is positive.
x**(278251/1122)
Simplify ((a*a**(4/7)*a**(-3)/a*a)/((a**(2/3)/a*a)/(a*a/(a**(-1)/a))))/(a**(2/13)*(a*a**(-3/7))/a*a**(2/5)/a**(-1/4)) assuming a is positive.
a**(1193/780)
Simplify w/(w/w**(-1)*w)*w*w**(2/7)*w*w*w*w**(-1)*(w**(-7)/w)/w*(w/w**(-2))**(-15)/((w/((w*w/(w**(-2/7)*w))/w)*w)/(w*w**(2/19)/w)) assuming w is positive.
w**(-7225/133)
Simplify ((l**0*l)/l**7)**4/(l**(2/17)/l**(-7)*l**(2/9)/(l**(-1/3)/l*l)) assuming l is positive.
l**(-4846/153)
Simplify ((u/(u/(u*u*u/(u/(u/(u*u**(-3/8))*u)))*u)*u**(-3/2))/(u**(-2/43)*u*u*u**(1/8)/u*u))**(-1/5) assuming u is positive.
u**(207/860)
Simplify (j**5/(j**(-1/4)*j)*((j*j**(1/2))/j*j)**(-1/23))/(((j**(4/5)/j)/j*j**2)/(((j**(-2/11)*j)/j)/j*((j*j**(-2/11)/j)/j)/j)) assuming j is positive.
j**(107/5060)
Simplify (o**(2/31)*o)**35/(o**13*o**(-28)) assuming o is positive.
o**(1620/31)
Simplify ((n**(-2)/n*n)/(n*n/n**(-1/5)))**(-31)/((n*n**6*n)/(n*n*n**(1/2)))**(-1/11) assuming n is positive.
n**(1307/10)
Simplify (((u**(1/9)/u*u**(-12))/((u**(2/7)*u)/u)**42)**(19/3))**48 assuming u is positive.
u**(-68096/9)
Simplify ((((r**(-2))**(-47))**36)**(-11/4))**(1/25) assuming r is positive.
r**(-9306/25)
Simplify (((p/(p/(p*p*p*p**(-2/25))))/p)/(p/(p*p/(p*p*p/(p**(-4)*p)))))**(2/59)/(p*(p*p**(-8))/p*p*p*p**(2/9)*p*p)**(3/11) assuming p is positive.
p**(31793/48675)
Simplify ((w*w**2*w)**(13/5))**(2/55)/((w*w*w**(-1)*w*w*w)**35/(w**(-4)/(w/(w**6/w)))) assuming w is positive.
w**(-38396/275)
Simplify r/(((r**(-5)*r)/r)/r)*r*r**(-3)*(r*r**9*r)/r**0*(r*r**(-1/5)/r)**26*(r**0)**(-28) assuming r is positive.
r**(54/5)
Simplify ((p**(-1))**(1/29)/((p/(((p**7*p)/p)/p))/(p*p**(1/4)*p)))/(((((p/p**(3/4))/p)/p)/p*p*p**(5/3)/p)/(p**1*p)**43) assuming p is positive.
p**(8204/87)
Simplify ((f/(f**(-1/2)/f*f))/(f*f**(2/11))*f**(2/7)/f*f**(1/2))/((f/(f*(f*f**1)/f)*f)**(-35)*((f/f**(-1/3))/f)/(f/(f**(-2/9)/f))) assuming f is positive.
f**(1381/693)
Simplify (r*r/r**(-19/4))/r**0*r/(r/(r**(-4/3)/r))*r**(2/69)*r assuming r is positive.
r**(501/92)
Simplify ((p/(p/p**(-10))*p)/(p*p/(p/(p*p**(-3/4)))))**(-50)*((p*p**(-10))/p**3)**31 assuming p is positive.
p**(281/2)
Simplify (f**(-2)/f**5)**38*(f**(2/17)/((f*f**(-2/13)/f)/f))**(-44) assuming f is positive.
f**(-71150/221)
Simplify (h**3/h)/(h/(h**(4/3)/h))*(h*h*h**(7/3))/h**(-2)*(h**(11/3)/(h*h*h*h**(-12)))**(-43) assuming h is positive.
h**(-537)
Simplify (z**(2/7))**(4/7)/((z**(-1)/z)/(z**(-1)/z))*(z**(-1/2)/(z*z**(-4)*z))**4 assuming z is positive.
z**(302/49)
Simplify (q*q/((q*q*(q/(q**(-1/12)/q*q*q))/q)/q)*q*q*q*q*q/q**2)**41*((q**1)**36)**8 assuming q is positive.
q**(5875/12)
Simplify (w*w**(-6))/w*w**0*(w/(w/(w**(-4/7)*w)*w))/w**(-6)*((w*w*w**(-1/5)*w)/w*w)/(w*w*w/(w*w**(5/3)*w*w))*w**(3/8)*w**0 assuming w is positive.
w**(3587/840)
Simplify ((d/(d**8*d))**(-8/9)/(d/(d/(d*((d*d**(-2/25)/d)/d)/d)))**0)**(-1) assuming d is positive.
d**(-64/9)
Simplify ((x/((x*x*(x*x/(x/((x*x**(-3/7)/x)/x)))/x*x*x)/x))/x**(-1)*x*(x**(-1/6)/x)/x*x*x*((x**17*x)/x)/x)**13 assuming x is positive.
x**(9425/42)
Simplify ((x/(x*x**(2/5)/x*x)*x)**(1/20)/(x**4/(x*x**(-1/8))))/(x*x**(-1/2)*x*x**(3/8)/x*x*(x**(-1))**(1/5)) assuming x is positive.
x**(-477/100)
Simplify ((i/i**4)**(-2/51)/(i**(4/15))**(-20/11))**(18/7) assuming i is positive.
i**(2028/1309)
Simplify ((l**(1/11))**(-26)/((l/l**(-26))/(l/(l/(l/l**(-29))))))**(-48) assuming l is positive.
l**(-336/11)
Simplify ((d**(2/5))**28/(d*d*d**(-1/4)/d*d**(-3/5)))/(((d*d/(d**(2/9)/d*d*d))/d)/d*d*d**(-8)/d*(d/d**(-2))/(d/(d/(d**(6/5)*d)))) assuming d is positive.
d**(701/36)
Simplify ((p**(3/2)*p)**(-4)/(p**(3/8)/p**(7/3)))**(1/6) assuming p is positive.
p**(-193/144)
Simplify (((w**(-4/7)/w*w)/w**(7/4))/(w**(-3))**29)**(-33) assuming w is positive.
w**(-78243/28)
Simplify (((f**1/f)/f)/f**7)**(10/7)/((f**(2/3))**(4/23))**(-21) assuming f is positive.
f**(-1448/161)
Simplify ((h**4*h)/h*h**3*h**7*h*h**(-13)/h*h)**(-20/9) assuming h is positive.
h**(-40/9)
Simplify ((((h/(h/(h*h*h**16*h*h)))**(8/9))**(41/2))**(7/3))**18 assuming h is positive.
h**(45920/3)
Simplify ((s**(-9/4)*s)**37/(s**(-2)*s)**15)**(25/3) assuming s is positive.
s**(-3125/12)
Simplify (c**(-1/2)*c*c*c**(3/5))**(-44/3)*(c/(c*c*c**(-4)/c)*c*c**(-4)*c)/(c*c**1)**(-33) assuming c is positive.
c**(186/5)
Simplify (u/(u/u**0*u))**27/(u*u/(u**32/u)*u*u)**(-39) assuming u is positive.
u**(-1080)
Simplify (l/l**47*l)**26*l**(2/15)*l*l*l**9/l assuming l is positive.
l**(-17398/15)
Simplify ((y*y**0)/y)**(2/3)/(y/y**2*y**8)*((y*y**(-8))/(y/(y/y**(-1))))/(y**(-2/5)/y**(-2/13)) assuming y is positive.
y**(-829/65)
Simplify (a**(2/3)/a**(1/2))/(a/a**(1/2))**(1/58)*(a/(a*a**(1/5)/a*a)*a/a**(-5))/((a/a**(-2/5))/(a**5/a)) assuming a is positive.
a**(14891/1740)
Simplify ((((a*a*a**(-4)*a)/a*a)/(a**(-4/5)*a))/(a/(((a*(a*a**(-16))/a)/a*a)/a*a)*a/(a**(2/3)/a)))**(2/17) assuming a is positive.
a**(-556/255)
Simplify (c/(c/c**(5/6))*c**14)**(-1/22)/(c/c**8*c**0*c*c/(c**(-2)*c)*c/c**(-2)) assuming c is positive.
c**(43/132)
Simplify (o*o*o**(2/5)*o*o/(o*o*o/o**(1/2)*o)*o**(-6/11)/(o/o**(-3)))/(((o*o/o**7)/o*(o/(o**(5/2)*o))/o)/((((o**9/o)/o)/o)/o**(-5))) assuming o is positive.
o**(927/55)
Simplify ((l/(((l/(l**(-1/2)*l))/l)/l)*l)**(-36))**35*(l**6/l**(-1/2))/((l*(l*l*l*l**(-5)*l)/l)/l**(-3/7)) assuming l is positive.
l**(-61641/14)
Simplify ((g*g*g*g**(8/5)*g*g)/g*g**(-1/18)/g*g**3*g*g*g/(g*(g**(-6)/g)/g*g))**(-46) assuming g is positive.
g**(-34247/45)
Simplify i/(((i/(i*i**44))/i)/i)*i**(-1/55)*i**(-6/13)*i**22 assuming i is positive.
i**(48992/715)
Simplify ((d/d**2)/d**2*d**(2/5)/d**4)/((d**(1/4))**(-22)/(d*d*d**(-2)*d**(3/7))) assuming d is positive.
d**(-47/70)
Simplify ((d**(-23)/d)**0/((d/(d/d**18))/((d*d/d**(1/13))/d)))**37 assuming d is positive.
d**(-8214/13)
Simplify ((p**(-2/5)/p**(1/3))/(((p/p**10*p*p)/p)/(p*p**(2/89)*p)))**44 assuming p is positive.
p**(545644/1335)
Simplify ((h**5/(h*h**(2/31)*h*h))/(h**(2/3)/(h**(6/11)/h)))**(17/3) assuming h is positive.
h**(14161/3069)
Simplify (t**(-5)*t*t**(-8)/t*t)/((t**(-3/4)/t)/(t**(-2)/t))*(t*t**(-4)*t/(t**(-3)*t))**(3/5) assuming t is positive.
t**(-53/4)
Simplify ((o/(o*(o*o*o/(o*((o/(o**(1/7)*o))/o)/o*o)*o*o*o)/o*o)*o)/o*o**(-1)*o)/(o**5*o**(-4))*((o**3*o)/o**(-2/3))**(-2/75) assuming o is positive.
o**(-11446/1575)
Simplify ((p/p**(-3))**(-22))**(-2/35)*(p**(1/5)*p**10)**(-1/3) assuming p is positive.
p**(57/35)
Simplify (u*u/((u**(2/3)/u)/u))/((u*u**7)/u)*(u**(-1/3))**(-1/45)*u**(2/3)/u*u**(-1)*u**(3/5)/(u/(u/u**(-1/5))) assuming u is positive.
u**(-566/135)
Simplify (j**(-3/4)/j**(-2/5))**(-2/49)/(((j/(j/j**(2/7)))/j*j)**(-45)/(j**3/(j*j/j**4*j))) assuming j is positive.
j**(1181/70)
Simplify (g**(-7)*g**(-4/3)/g)**48*(g/g**(-1/5))/g**(-2)*(g**(2/7)/g)**36 assuming g is positive.
g**(-16468/35)
Simplify ((h*h**(-11)*h*h*h*h)**(-11/2)/(h**(-1/30)/h**(-1/38)))**(-4/15) assuming h is positive.
h**(-37628/4275)
Simplify ((a*a**7*(a*a*a**8*a)/a*a/a**(-2/7)*a**(-5))**12)**(-33) assuming a is positive.
a**(-39600/7)
Simplify ((l**1)**(3/2))**(-24)/((l*l/l**(1/3)*l)**6/((l**(2/25)*l)/((l/(l**(3/4)/l))/l))) assuming l is positive.
l**(-5117/100)
Simplify (q**8/(q*q/q**18)*q/q**(-17)*(q*q*(q**15*q)/q)/q)**50 assuming q is positive.
q**2900
Simplify (((v/v**(4/9)*v)/v**(-14))/(v*v/(v/v**(1/9)))**38)**(-44) assuming v is positive.
v**(3520/3)
Simplify ((b*((((b/(b*b*b/(b*b/((b*b**19*b)/b)))*b)/b)/b*b*b)/b)/b)/(b**(33/7)/b))/(b**(-27))**(-48) assuming b is positive.
b**(-9238/7)
Simplify (r/r**3*r**(2/23))**(-31)/((r**(-1/3)*r)**34)**(-4/11) assuming r is positive.
r**(51268/ | {
"pile_set_name": "DM Mathematics"
} |
-4)/(-5 - -1). Suppose 5*o + 5*p + 560 = 0, -o + 212 = -t*o + p. Let g be 20625/(o/32 - -3). What is g rounded to the nearest ten thousand?
-60000
Suppose -4*u - 3*r = -40, 1 = -3*u - 4*r + 24. Suppose -66800 = 5*v - u*v. Let i be v*(3 + -4 - -5). Round i to the nearest 1000.
33000
Let y be (-11 - 315/(-27))*364587/(-2). Let a = y + 4291529. What is a rounded to the nearest one million?
4000000
Let o = 596816 - -198087. Let m = o + -794869.0863. Let u = m + -33.9. What is u rounded to 3 dps?
0.014
Suppose -4*s - 3*c - 25 = 0, 3*s + 3*c + 18 = -0*s. Let h(w) = 247125*w - 125. Let x be h(s). What is x rounded to the nearest one hundred thousand?
-1700000
Let j = 5.76132 + 0.09668. What is j rounded to zero dps?
6
Let f be (-1)/(-3)*-6 - -1142502. What is f rounded to the nearest ten thousand?
1140000
Let i = 424 + -1053. Let y = -341 - i. Let g = 267.1 - y. Round g to zero dps.
-21
Let i = -297.4299980677 + 297.43. Round i to seven dps.
0.0000019
Let c = 28103260.9 + -28101567.89033. Let z = -1693 + c. What is z rounded to 3 decimal places?
0.01
Let p = 42 - 40. Let r be -2*11/p*-1. Suppose r*o = 23578 - 5978. What is o rounded to the nearest one thousand?
2000
Let i = 0.0543 + 0.7812. Let d = 175.4555 - i. Let u = d + -172. What is u rounded to one dp?
2.6
Let r = -0.05732 - -0.04655. Round r to three decimal places.
-0.011
Let m = -774.95 + 9.95. Let h = m + 764.99999626. What is h rounded to 6 decimal places?
-0.000004
Suppose -w = -5*y + 2147005, 0 = 5*w - 5*y + 5203540 + 5531465. Round w to the nearest one million.
-2000000
Let q = 135.16 - 135.1611277. Round q to five decimal places.
-0.00113
Let c = -1585149798 + 1585149807.999999885. Let m = 10 - c. What is m rounded to seven decimal places?
0.0000001
Suppose 20*g + 479910 = 5*g. Let v be (g - 0/(-5)) + -6. What is v rounded to the nearest one hundred thousand?
0
Let g = -229 + 122. Let t = g + 110.08. Let s = 2.8 - t. What is s rounded to one decimal place?
-0.3
Suppose 2*z + 4*b = -68408 - 309490, 0 = 2*z + 5*b + 377897. Let l = z + 395316. Suppose 5*u - 5043635 - l = 0. Round u to the nearest 100000.
1100000
Let o = 4640 - 4644.5083. Let x = -28 + 23.5. Let l = x - o. Round l to 3 decimal places.
0.008
Let c = 932 - 932.02418. Round c to three decimal places.
-0.024
Let u(w) = w**2 + 12*w - 68. Let r be u(-16). Let p(a) = -448749*a**2 + 2*a - 8. Let c be p(r). What is c rounded to the nearest one hundred thousand?
-7200000
Let l = 1.922 + 0.058. Let f = l + -2.039. Round f to 1 decimal place.
-0.1
Let h = -0.4008 + -1816.5992. Let q = -1817.0001277 - h. Round q to five dps.
-0.00013
Let s = 47.885262885 - 0.085523885. Let x = s - 47.8. What is x rounded to five dps?
-0.00026
Let p = 405377809.860000888 - 405377808. Let y = -0.091 - -1.951. Let z = p - y. What is z rounded to 7 decimal places?
0.0000009
Let s be -4076*((-55)/20 - -2). Suppose 401 = -8*n + s. Round n to the nearest 10.
330
Let x = 3444.1 + -465.1. Let l = x + -2978.8383. What is l rounded to two decimal places?
0.16
Let z = -7 + 6.888. Let x = -0.125 - z. What is x rounded to two decimal places?
-0.01
Suppose -120 = -5*x + 4*c, 0 = 2*x - 7*x + 3*c + 125. Let y be 10550/((-8)/x - 165/(-700)). Round y to the nearest ten thousand.
-210000
Let k = -0.08146 - 2.06304. Let u = k + 2.16. Round u to two dps.
0.02
Let o = 20622.1355 - 20597. Let w = o + -0.0355. What is w rounded to the nearest ten?
30
Let d = -24889.021602 - -24889. What is d rounded to two dps?
-0.02
Let q = -15762964 + 35435662. Let p = q + -19672901.99853. Let s = 204 + p. What is s rounded to 4 dps?
0.0015
Let p = -1992.7 - -2147. Let w = 147.205 + -0.205. Let h = p - w. Round h to the nearest integer.
7
Let i(t) = -60*t - 686. Let h be i(14). Round h to the nearest 100.
-1500
Suppose 19*l - 24*l + 5670 = 0. Suppose -4*n + g = -0*g - 3051, 0 = -n + 5*g + 758. Let i = l - n. Round i to the nearest 100.
400
Let c = 36983.9999871544 - 36984. Round c to six decimal places.
-0.000013
Let x = -0.21151075 + 0.21134. What is x rounded to 6 decimal places?
-0.000171
Let c be (-5*7)/((-10)/(-430600)*1). What is c rounded to the nearest one hundred thousand?
-1500000
Let h = 0.39 + -0.53. Let t = h + -0.32. Let m = -0.45999866 - t. What is m rounded to 7 decimal places?
0.0000013
Let f = 43 - 42.71. Let p = 0.231 - f. Let w = -0.0544 - p. Round w to 3 decimal places.
0.005
Let j be (20 + -19)/(((-104)/(-34) - 3)/(-3987)). What is j rounded to the nearest 100?
-67800
Suppose 0 = 5*r - 3*r - 56. Suppose r + 35 = 9*z. Suppose -5999980 = 2*d - 4*a, -z*a + 6*a = -4*d - 11999995. What is d rounded to the nearest 1000000?
-3000000
Let h = 1181 + -1179.618. Let q = h - 1.4. Let o = q + 0.017995. What is o rounded to five dps?
-0.00001
Let v be (1 + 7 + -8)*(-1)/2. Suppose -2*l + q + 2965 + 166836 = v, -4*l = 3*q - 339597. Round l to the nearest ten thousand.
80000
Let c = 1103.9114 - 1104. Let j = c + 0.278. Round j to two decimal places.
0.19
Suppose -323*u = -322*u + 5*k + 1508170, 0 = 2*u - k + 3016252. Round u to the nearest ten thousand.
-1510000
Let a = 34058.03051 - 34059. Round a to 3 dps.
-0.969
Let y = 4613599 - 2747476. Let a = 1933877 + y. Round a to the nearest one million.
4000000
Let h = 8481 - 8480.879009. Let g = 245.121 + -245. Let t = h - g. What is t rounded to six dps?
-0.000009
Let i = 1882 - 3000. Let w = i - -1118.00005178. What is w rounded to five decimal places?
0.00005
Let v = -45529.5085 - -207323.50826. Let o = v - 161788. Let x = o - 6. What is x rounded to 3 dps?
0
Let l be (62 - 8)*(-2 - (-99)/6). Let d be 0/1 - -6 - (-2 - l). Round d to the nearest 100.
800
Suppose 0 = 4*x + i - 4291763, 63*i - 65*i = 12*x - 12875286. Round x to the nearest 100000.
1100000
Let a = -19840.999983386 + 19841. What is a rounded to seven decimal places?
0.0000166
Suppose 56*p - 51*p = 3*f - 246215, 5*p = -5*f + 410345. What is f rounded to the nearest ten thousand?
80000
Suppose 12 = -2*m + 4*g, -5*m + 6 = 2*g - 12. Let y be 32/20*(m + 1424355/10). Round y to the nearest 10000.
230000
Let b be 798/(-4) - (-24)/(-48). Let v be ((-747 + -3)*-50)/(30/b). Round v to the nearest ten thousand.
-250000
Suppose 0 = 200*m - 190*m - 1576100. What is m rounded to the nearest one hundred thousand?
200000
Let a = 426.6 - 585. Let c = -159.4 + -13.6. Let z = c - a. Round z to the nearest integer.
-15
Suppose 215840 = 10*c + 47070. Let l = c + 10223. Suppose t - l = 3*a - 0*a, -t = 4*a - 27100. What is t rounded to the nearest one thousand?
27000
Let c = -6 - 79. Let s be c/(7 - 2443/350). Round s to the nearest 1000.
-4000
Let w = -154.15 - 3.85. Let y = 31 + w. Let f = 116.3 + y. What is f rounded to the nearest integer?
-11
Let f = 36048440 + -47613207.5. Let i = f - -11564827.4999987. Let w = i - 60. What is w rounded to seven decimal places?
-0.0000013
Let d = 44 - 60. Let y be (-4)/d*7 + (-1)/(-4). Suppose 3*x + 2*x = -3*t - 166500006, 3*x + y*t = -99900004. What is x rounded to the nearest one million?
-33000000
Suppose -32*y + 18*y + 56 = 0. Let b be (514/y)/((-28)/(-5600000)). What is b rounded to the nearest one million?
26000000
Suppose -3*x - 3*p = -12, 9 = 4*p - 7. Suppose 162 = -3*u - x*h + h, u + 5*h + 54 = 0. Let g = -144 - u. What is g rounded to the nearest 100?
-100
Let d = -18.43 - 585.87. Round d to the nearest 100.
-600
Let z = 10170018.19 - 10170610.1899448. Let s = z - -592. What is s rounded to six dps?
0.000055
Let m = -183083 - -183190.909. Let s = m + 0.091. Let o = s - 108.00089. What is o rounded to 4 decimal places?
-0.0009
Suppose 620 = -4*j - 4*o, 4*j + o + 618 = -2*o. Let r = j + 235. Let n be (1000*r)/((-1 - 0)*1). Round n to the nearest 10000.
-80000
Suppose 0 = 104*i - 226*i - 11068328. What is i rounded to the nearest one thousand?
-91000
Let b = 3.88 + -0.08. Let v = -204.04 - -208. Let n = v - b. Round n to two dps.
0.16
Let p = 79 + -69. Let o = p + -9.99998938. What is o rounded to six decimal places?
0.000011
Suppose -5 = -14*p + 37. Suppose 26*w - 181691 = 27*w - p*f, 363397 = -2*w + f. What is w rounded to the nearest 10000?
-180000
Let u = 47 - 43. Let n be 13622134/u - 6/(-4). Let v = 4955535 - n. What is v rounded to the nearest 100000?
1600000
Let v = -68015 + 411765. What is v rounded to the nearest one thousand?
344000
Let | {
"pile_set_name": "DM Mathematics"
} |
remainder when 121 is divided by n?
13
Let g(t) = t**3 + 107*t**2 + 882*t + 252. Calculate the remainder when 264 is divided by g(-98).
12
Let m(v) = v**3 - 24*v**2 + 23*v + 19. Let x be m(23). Suppose x = 7*g - 30. What is the remainder when 139 is divided by g?
6
Suppose -4*f = -7 - 13. Let d be 6*(f - (4 + 11)). Let y = d - -81. What is the remainder when 37 is divided by y?
16
Calculate the remainder when 187 is divided by (-1 - -32)/(1/2).
1
Suppose 65003 - 25437 = 28*w - 197510. What is the remainder when w is divided by 5?
2
Suppose 2978 = 110*m - 5235 - 1797. Suppose 3*y = -9, 2*i - 5*y + 137 = 6*i. Calculate the remainder when m is divided by i.
15
Let z(d) = d**3 - 25*d**2 - 82*d + 21. What is the remainder when 3618 is divided by z(28)?
76
Suppose -4*c - 3*q + 125 + 101 = 0, -4*q + 118 = 2*c. Calculate the remainder when 112 is divided by c.
2
Suppose 4*f - 2474 = -3*t, -2*t = -f - 6*t + 612. Suppose 3*d - d + f = 3*w, 3*d = -5*w + 1027. Calculate the remainder when w is divided by 42.
38
Let d(l) = -30*l - 94. What is the remainder when 752 is divided by d(-4)?
24
Suppose 29*p = -221 + 1207. What is the remainder when p is divided by 10?
4
Suppose 0 = 2*d + 3*o + 793 - 1281, -2*o + 727 = 3*d. What is the remainder when d is divided by 194?
47
Suppose -60 = -49*r + 44*r. Let v be 57/(-1)*-2 + 2. Suppose -4*b + v + 168 = 0. What is the remainder when b is divided by r?
11
Let q(r) = 2*r**2 - 100*r + 1265. Calculate the remainder when q(13) is divided by 38.
37
Let c = 15414 - 14719. Calculate the remainder when c is divided by 12.
11
Let g(a) = 4127 + 0*a**2 - 2*a - 4125 - a**2 + a**3. Calculate the remainder when (2/(-4))/((-2)/148) is divided by g(3).
9
Calculate the remainder when 2175 is divided by -1 - (-32)/((-384)/(-2628)).
213
Let m = -25511 + 25741. Calculate the remainder when 5977 is divided by m.
227
Let a(w) = 6*w**2 - 32*w - 20. Let h be a(6). Suppose 3*m - 5*m = h*r - 62, m - 4*r = 49. What is the remainder when m is divided by 11?
4
Suppose 0 = -2*g + 3*c + 2*c - 16, -20 = -5*c. What is the remainder when 3/(1/(-14)*-2) is divided by -75*g/(-36) + (-2)/12?
1
Let z = -29 + 43. Suppose t = 5*c - 6*c + z, 5*c = 2*t - 7. Calculate the remainder when t is divided by 10.
1
Let h = 9 - 7. Let p be h/4 + 40/16. Suppose 0 = -p*x + y + 17, -3*x - 2*y + 13 = -7*y. Calculate the remainder when 16 is divided by x.
4
Let q = -3744 - -3751. Calculate the remainder when 3415 is divided by q.
6
Let f(s) = -20*s - 284. Let c be f(-14). Calculate the remainder when (1/(3/(-126)))/(2/c) is divided by 43.
41
Let z(b) = -2*b**2 - 15*b - 17. Let y be z(-6). What is the remainder when 42 is divided by ((-2)/y)/((7/1)/(-91))?
16
Suppose 3*c + 17 = 140. Suppose 0 = 5*u - j - 16, 3*j = -2*j - 5. Suppose 590 = u*n - 15*a + 11*a, 0 = 2*a - 8. What is the remainder when n is divided by c?
38
Suppose -104*j = -94*j - 230. Calculate the remainder when 2/(-11) + 5913/33 is divided by j.
18
Let r(f) = f**3 + 12*f**2 - 11*f + 31. Let y be (10/15)/(4/(-78)). Let p be r(y). Suppose 8*u - p*u = 6. What is the remainder when 4 is divided by u?
0
Suppose 3*b + 2*p = 465, -4*b - 631*p + 628*p = -619. Calculate the remainder when 14286 is divided by b.
156
Suppose l + 49 = w + 163, 5*l - 549 = -2*w. Calculate the remainder when 557 is divided by l.
2
Let c(m) be the first derivative of m**4/4 + 2*m**3 - 3*m**2/2 + 7*m - 40. What is the remainder when 46 is divided by c(-6)?
21
Let o(g) = g**2 - 65*g + 97. What is the remainder when 953 is divided by o(64)?
29
Let h(q) = q**2 - 15*q - 114. Let v be h(24). Suppose 491*f = 485*f + v. Calculate the remainder when f is divided by 8.
1
Let g = -5823 + 5895. Calculate the remainder when 234 is divided by g.
18
Let v = 587 - 417. Suppose 423*m - 421*m = v. What is the remainder when m is divided by 13?
7
Suppose -2*t + 10 = -3*t. Let f = 26 + t. Suppose -43*c + 21 = 3*j - 40*c, -3*j + c = -17. Calculate the remainder when f is divided by j.
4
Let x(h) = -32*h + 70. Let j be x(0). Suppose 5*v + 4*r = 485, -j*v = -67*v + r - 284. What is the remainder when v is divided by 24?
21
Suppose -15*u + 9*u = -816. Suppose -333 = -43*t + 34*t. What is the remainder when u is divided by t?
25
Suppose -5*p + 4*u = 1114, 658 = -2*p - p + 5*u. Let a = -138 - p. What is the remainder when a is divided by 30?
28
Let m(c) = 9*c - 53. Let z(n) = -2*n + 6. Let f be z(-2). Calculate the remainder when m(f) is divided by 12.
1
Let y = -343 + 373. Suppose -m - 592 = -5*m. What is the remainder when m is divided by y?
28
Let u(x) = 3*x**3 - 92*x**2 - 115*x - 91. What is the remainder when 669 is divided by u(32)?
19
Suppose 30 = 2*q + 3*w, -4*q = 4*w - 17 - 43. Calculate the remainder when ((-2)/(-8))/((-25)/25)*-116 is divided by q.
14
What is the remainder when 1336 is divided by 216 - ((3 - 104/32) + (-2)/(-8))?
40
Suppose 2*j + 16*j = -16*j. What is the remainder when j - -892 - (-5 + 16)/(-11) is divided by 64?
61
Suppose 0 = 223*f - 249*f + 7696. Calculate the remainder when f is divided by 75.
71
Let r = -386 - -536. Suppose -7 = -b + 5*z, 5*b + z = 3*z + r. What is the remainder when b is divided by 21?
11
Suppose 10*f = -8*f + 91*f - 7592. Calculate the remainder when f is divided by 73.
31
Let t = -690 - -1151. Let f = -445 + t. Calculate the remainder when 63 is divided by f.
15
Let f(d) = 82*d**2 - 83*d + 244. Calculate the remainder when f(8) is divided by 18.
4
Let b = 92 - 83. Let q(c) = 5*c**2 + c + 1. Let x(r) = -6*r**2 - r - 1. Let i(h) = -3*q(h) - 4*x(h). What is the remainder when i(-2) is divided by b?
8
Let x = 5890 - -688. What is the remainder when x is divided by 20?
18
Suppose -m + 28 = -4*p, -2*p - 17 = 2*m - 3. Let q be 0/p - (1 - (-1 + 4)). Let r(f) = 2*f**3 - 2*f**2. Calculate the remainder when r(q) is divided by 5.
3
Let r(t) = 10 + 8*t - 5 + 2. Suppose 0 = -7*w + 5*w + 24. Calculate the remainder when r(5) is divided by w.
11
Suppose 67*v + 5408 = 99*v. Calculate the remainder when v is divided by 31.
14
Let a(v) = 21*v**3. Suppose 0 = -3*r + p - 48 + 65, -5*r = -p - 27. Calculate the remainder when a(1) is divided by r.
1
Let s(a) = 84*a**2 + 463*a + 15. What is the remainder when s(-6) is divided by 87?
0
Let g(l) = 4*l**2 - l - 4. Let z be g(-3). Let v = z - 31. Suppose 4*j - 140 = -5*r, -v*j = j - 5*r - 220. Calculate the remainder when j is divided by 11.
7
Let x(d) be the second derivative of 3*d**3/2 + 3*d**2/2 - 7*d - 4. What is the remainder when x(4) is divided by 19?
1
Let h = -1371 - -1383. What is the remainder when 8531 is divided by h?
11
Suppose -49*g + 1221 = -4659. Calculate the remainder when 472 is divided by g.
112
What is the remainder when (533/(-205) - -5)*(-530)/(-3) is divided by 58?
18
Let s = 244 + -232. Let l = 542 + -507. What is the remainder when l is divided by s?
11
Let d be (1 + (-4 - -1))*-1. Suppose 0 = d*q - 0*q - 4. Suppose l - 105 = -q*l. What is the remainder when l is divided by 12?
11
Suppose 96*f = 88*f + 896. What is the remainder when 17 is divided by (-79)/(-7) + (-32)/f + 6?
0
Let s(l) be the second derivative of -l**5/20 - 3*l**4/4 - 4*l**3/3 + 3*l**2/2 - 88*l. Calculate the remainder when 27 is divided by s(-8).
0
Let r(h) = 21*h - 54. Calculate the remainder when 324 is divided by r(8).
96
Let t be (-12 + -8)/(2/(-20)). Suppose -9*z + 5*z + 160 = -5*d, -5*z - 2*d + t = 0. What is the remainder when 119 is divided by z?
39
Suppose -295305 = 141*c - 2491662. What is the remainder when c is divided by 38?
35
Let y(h) = 3*h - 58. Let i be y(20). Suppose -5*l = -i*u - 228, -5*u = -2*l + 34 + 74. What is the remainder when l is divided by 15?
14
Let l = 10 - 8. Suppose -l*s + 4*w = 2*w - 18, 4*s - 5*w = 37. Suppose s*j - 23 = 25. Calculate the remainder when 14 is divided by j.
2
Suppose 43*q + 224*q = 57834 + 41223. What is the remainder when q is divided by (-90 + -3)*(-2)/6?
30
Let y(t) = 17 - 6*t**2 - 8 + 4*t**2 + 4*t. Let a be y(9). Let p = a + 258. What is the remainder when p is divided by 36?
33
Let v(p) = 19*p + 3458. Calculate the remainder when v(-142) is divided by 63.
4
Suppose 813*m + 57 = 816*m. Let s(c) = c**3 + 168. Calculate the remainder when s(0) is divided by m.
16
Suppose -17 = -5*g + a, -3*g - 451 = 3*a - 454. What is the remainder whe | {
"pile_set_name": "DM Mathematics"
} |
. What is the common denominator of -47/36 and z?
180
Suppose -3*f - 2*f = 2*y + 7, f = -2*y + 13. Suppose 3*l = -238 + 256. What is the smallest common multiple of y and l?
18
Let l = 436 - 205. What is the lowest common multiple of 27 and l?
2079
Suppose 5*i - 16 = i. Suppose 3*k - 34 = -i*w, k - 4*w - 6 + 0 = 0. Suppose 3*v - 2 = -2*y + 1, -2*y + 4 = 2*v. What is the smallest common multiple of y and k?
30
Calculate the least common multiple of (-1390)/(-18) - 10/45 and 33.
231
Calculate the common denominator of 30/75 - (-2 - 138/80) and 75/194.
776
Let v be 2*(-2)/(-12)*18. Find the common denominator of -1 - ((-21)/(-11))/3 and v/6 - (-59)/(-11).
11
Let c be 4 + (27 - (-4 + 4)). Let k = -31 + c. Suppose -3*t + 6*t = -4*v + 7, -4*v + t + 3 = k. What is the least common multiple of 33 and v?
33
What is the common denominator of -17/40 and (-15)/(-60) + -2 + 354/40?
40
Let z(f) = -f**3 + 6*f**2 - 11. What is the smallest common multiple of z(5) and 472?
3304
Suppose 8*b + 546 = 794. What is the least common multiple of 1 and b?
31
Let r = 6933 - 291217/42. What is the common denominator of r and 37/27?
378
Let i be -6*(-2)/12*-2. Let m(o) = -2*o - 8. Calculate the smallest common multiple of -4*i/4 - -2 and m(-11).
28
Suppose y - 3*x = 18, 0 = 2*y - 10*x + 5*x - 34. What is the smallest common multiple of 23 and y?
276
Suppose 2*h + 1 - 5 = 0. What is the lowest common multiple of h and 145?
290
Let p = 202 + -172. What is the smallest common multiple of 30 and p?
30
Let u = -1746 - -2120. What is the least common multiple of 476 and u?
5236
Let i(q) = -q - 15. Let c be i(-13). Find the common denominator of c/(-8) + (-187)/(-28) + -3 and 43/12.
84
Suppose 2*n = 33*n - 744. What is the smallest common multiple of n and 114?
456
Let x = 298/5 + -351/10. Find the common denominator of x and 25/144.
144
Suppose -6*y - 12 = 6. Let v be 0/(y/9*-6). Suppose 3*x - 4*x + 3 = v. Calculate the least common multiple of 6 and x.
6
Let j(c) = c**3 + 21*c**2 + 21. Calculate the least common multiple of 14 and j(-21).
42
Let r be -3 - -1 - -1 - -1. Suppose r = -2*y + 4*y. Suppose -3*f = 5*o + 7, f + y*o + 2*o = -4. What is the smallest common multiple of f and 11?
66
Let n(w) = -w**3 - w**2 + w + 24. Suppose 1 = -f, 0*f - 5 = 4*j + 5*f. What is the least common multiple of n(j) and 10?
120
Let k = -289 + 294. Calculate the lowest common multiple of (-8)/(-2 - (1 + -1)) and k.
20
Let c = -576 + 596. What is the lowest common multiple of c and 32?
160
Let b = -757477831/210 + 3607080. Let i = b - 668/21. Calculate the common denominator of i and 51/22.
110
What is the common denominator of ((-2)/45*-3)/(400/(-3125)) and -137/54?
216
Find the common denominator of (-1463)/57*(-6)/(-64) and 41/36.
288
Suppose -g + 1 = 0, 3*o + 5*g + 46 = 321. What is the lowest common multiple of o and 75?
450
Let p(y) = -9*y**2 + 66*y - 7. What is the lowest common multiple of p(6) and 104?
520
Let l = -1237/1477060 - 1/12844. Let y = l - 146391/4370. Find the common denominator of -43/104 and y.
104
Let u(x) = -7*x + 47. Let f be u(7). Find the common denominator of 296/(-24) + f/(-4) and -149/36.
36
Let q = 10/169 + 8917/676. What is the common denominator of 318/40 - (-16 + 24) and q?
20
Let z = -113 + 115. Calculate the common denominator of 17/50 and z + (-2)/(110/83).
550
Suppose 0 = 10*w - 5*w + 55. Calculate the common denominator of (8/(-8))/(w/39) and 117/10.
110
Find the common denominator of (7/98)/((-1)/118) and (-4)/1 - 798/(-96).
112
Suppose -2*y + 242 = -44. Let u be y + 14 + -4 + 1. Find the common denominator of 29/5 and (-8)/(-20) + u/(-60).
30
Let d = -520 - -536. Calculate the lowest common multiple of d and 6.
48
Let j = 779 + -713. Calculate the lowest common multiple of 20 and j.
660
Suppose 0 = 4*b + b. Suppose 0 = -3*r - b*r + 36. Suppose -85 = -3*k + 47. What is the smallest common multiple of r and k?
132
Let i be ((-7)/9)/((-86)/50). Let k = i + -134693/7740. Let w = k + 56/5. Find the common denominator of 45/7 and w.
28
Let w be 3748/(-106)*(-6)/20. Let m = w - -42/53. Find the common denominator of m and -3/2.
10
Suppose -2*m = -m - 7. Suppose 14*d - 20 = 9*d. Suppose -7 = -5*f - 4*t + 10, -2*t = -2*f - d. Calculate the least common multiple of m and f.
7
Let j = -227 + 387. Let u = j + -92. What is the common denominator of -73/3 and (-3)/(-6)*u/(-12)?
6
Suppose -2*n = -4*v + 23048, -2*n - 22664 = -5*v + 6144. Let q = v + -45983/8. What is the common denominator of -32/11 and q?
88
Suppose 0 = -20*o - 136 + 436. Calculate the lowest common multiple of 45 and o.
45
Suppose -5*m - 257 = -3*h, 4*h + 0*h + 5*m = 366. Let g = h + -85. Let s(a) = 7*a**3 - 2*a**2 + 1. What is the smallest common multiple of s(1) and g?
12
Calculate the common denominator of -93/10 and (-4)/3*-1*30/(-75).
30
Let q(g) be the first derivative of -g**2/2 + 16*g + 3. Let r be (-7)/(14/4) + 2. What is the lowest common multiple of q(r) and 4?
16
Let h = 7173 + -451844/63. Calculate the common denominator of -29/45 and h.
315
Suppose 4*n = -25 + 9. Let a(h) = -h**3 - 3*h**2 - 5*h + 4. Let k be a(n). Let b = -20 + k. What is the lowest common multiple of b and 2?
20
Suppose 3*v = -2*u - 10, -3*u + 4*v = 9 + 23. Calculate the lowest common multiple of (u/(-10))/((-5)/(-950)*4) and 6.
114
Let m(n) be the first derivative of n**4/4 + 4*n**3/3 + n**2 + 7*n + 9. What is the least common multiple of m(-3) and 9?
90
Let p be (-26)/39 + (-6244)/(-9519). Let d = p - 22033142/15865. Let h = d - -152503/110. What is the common denominator of h and 71/18?
198
Suppose 0 = v - 1 - 13. Let j = -2175/4 + 519. Find the common denominator of (-4)/v*1062/(-72) and j.
28
Calculate the common denominator of -57 - -59 - ((-49)/(-33) + 0) and -13/102.
1122
Let c = 936 + -14879/16. Calculate the common denominator of 6/15 + (-99)/40 and c.
80
Let x(n) = 4*n + 76. Let z be 3/((21/27)/(-7)). Find the common denominator of 71/(-3)*6/4 and x(z).
2
Let c(i) = 2*i + 2. Let b be c(4). Let t be ((-12)/(-2))/(b/(-40)). Find the common denominator of -23/16 and (-92)/21*9/t.
112
Let f be -1 + (-1536561)/(-12) + -3. Let d = f + -131485. Let l = -3419 - d. Find the common denominator of -37/12 and l.
12
Let p = -1980229/120 + 16502. Calculate the common denominator of -121/20 and p.
120
Let z = 54 + 106. Calculate the common denominator of ((-3107)/60)/(-13) - (-2)/3 and (-2)/5 - (-374)/z.
80
Let y = 483 + -462. Let l = 51 - 21. Calculate the least common multiple of l and y.
210
Let c = 2813/15 - 97157/510. What is the common denominator of c and -9/38?
646
Let v be -6 + (-3)/(-2 - 1). Let l = 68 + -59. Let p = l + v. Calculate the smallest common multiple of p and 5.
20
Let v = 448 - 442. Calculate the smallest common multiple of 35 and v.
210
Suppose -13 + 4 = -3*s. Let o = -8 - -12. What is the smallest common multiple of o and s?
12
Let i = -28819554/221 - -130405. Find the common denominator of -44/39 and i.
663
Suppose -a + 0*a = -4*b, -4*a - 2*b = 0. Suppose a = -4*l + 5*l - 30. What is the common denominator of l/(-66)*52/(-5) and 91/4?
44
Let i(g) = 4*g - 3*g - 4 + 5*g**2 + 2*g**3 - 5*g + g. Let c be i(3). What is the common denominator of (c/(-4) + 0)/(-4) and -53/20?
40
Suppose 2*p - 42 = 18. Let i = p - 26. Suppose t - i = -2*c, 0 = c - 2*c - 2. Calculate the smallest common multiple of 8 and t.
8
Calculate the common denominator of ((330/(-80))/(-3))/((-15)/(-12)) and 151/2520.
2520
Let j = 668 - 635. What is the least common multiple of j and 30?
330
Let f(r) = r - 1. Let c(a) = -5*a + 10. Let z(m) = -c(m) - 6*f(m). What is the smallest common multiple of z(-10) and 12?
12
What is the common denominator of (-345)/(-100) - (-10 + 12) and -59/544?
2720
Let y(h) = h**2 + 2*h + 1. Let m be y(3). Let k = -16 + m. Suppose a = -k*a + 8. What is the smallest common multiple of 62 and a?
248
Suppose -64 - 166 = 5*h. Let m = 51 + h. Suppose 4*y = -5*k + 29, -2*y - 13 = -4*k + 5. What is the smallest common multiple of m and k?
5
Suppose 1150*j - 1154*j + 52 = 0. Calculate the smallest common multiple of 2 and j.
26
Let p be (-2)/6 - 385/15*1. What is the common denominator of (3 - p/22) + -4 and -53/10?
110
Let s be 134/10 - 10/25. Suppose s - 33 = -5*z. What is the smallest common multiple of 22 an | {
"pile_set_name": "DM Mathematics"
} |
-6)*-1 and -22*(-18)/16*d?
10
Let h be -5 + 1 - 9190/6895*-3. Let n = h - 56527/8274. What is the common denominator of (2/14)/((-6)/(-7)) and n?
6
Let l(z) be the first derivative of -z**4/4 - 20*z**3/3 - 19*z**2 + 28*z - 71. What is the smallest common multiple of l(-18) and 36?
576
Let w = -44437/126 + 2424/7. Suppose -3*s - 2*s = 1500. What is the common denominator of ((-315)/s)/((-24)/10) and w?
144
Let t(i) = 3*i**3 + 5*i**2 - 10*i - 6. Let c be t(-5). Let k = 239 + c. Calculate the least common multiple of 27 and k.
297
Let i = 8588 - 42991/5. What is the common denominator of -75/154 and i?
770
Let k = -2363 + 307193/130. Calculate the common denominator of k and -143/540.
7020
Suppose -76*i + 648 = -72*i + 104*i. What is the lowest common multiple of 84 and i?
84
Suppose 80*a - 7228 = 84*a. Let q = a - -8976/5. Let h = 573/2 + -280. Calculate the common denominator of q and h.
10
Let q = 445194/73 - 6099. Find the common denominator of 285/50*(3 + -2) and q.
730
Let z(u) = -u**3 + 8*u**2 - 3*u + 40. What is the smallest common multiple of 4032 and z(8)?
4032
Let t be (25/(-5) - -4) + -1. Calculate the lowest common multiple of (t/(-2))/(5/20) and 52.
52
Let m = 3/574 + -3308/1435. What is the common denominator of (-9)/27 + 42/(-20) and m?
30
Find the common denominator of -119/744 and (((-786)/168)/(-3 - 2))/((-1)/2).
26040
Suppose -79*q + 9*q - 74382 = -368942. Calculate the smallest common multiple of 22 and q.
46288
Let o = 4/873 - 61999/3492. Let p be 1 + (55719/12)/3. Let r = p + -1528. Calculate the common denominator of o and r.
4
Suppose 5 = l + 4*i, 4*i = 3*l + i + 30. Let u be 5 + l + -1 + 0 + 20. What is the common denominator of -163/30 and (u - 15) + 122/(-48) + -1?
120
Let v = 1302 + -1282. Calculate the lowest common multiple of (2 + (-2)/(-5))/(15/250) and v.
40
Suppose 1416*q + 14400 = 1426*q. What is the smallest common multiple of q and 176?
15840
Let d = -6611/1295 + -7/185. Suppose 0*z - 11747 = 17*z. Let k = z + 2042/3. Calculate the common denominator of k and d.
21
What is the common denominator of ((-198)/(-7))/(-73 - 48 - -105) and (-3)/28 + 0 + 0?
56
Let t = -2/707503 - 45277618/910556361. Calculate the common denominator of t and 58/117.
1287
Suppose -2*u - 5*p + 18 = 0, u + 2 = 4*p - 2. Suppose 1107 + 5837 = u*n. Calculate the lowest common multiple of 22 and n.
19096
Suppose -4*n + 2*m = 4, 20*n + 3*m - 16 = 21*n. What is the least common multiple of n and 6578?
6578
Let a be (-14)/(-2 + -1*(-15)/5). What is the common denominator of 7/a + (-22)/252 and 103/70?
630
Let p(g) = 40*g**2. Let o be (-8)/(-24) - 4/(-6). Let q be p(o). Find the common denominator of -23/7 and (8/q)/(2/(-24)).
35
Let l(p) = p**2 + 21*p - 20. Let m be l(-22). Suppose -m*b + 2 = 0, 5*b = -k + 5 + 34. Calculate the smallest common multiple of 4 and k.
68
Let o = -11 + 41. Let j = -69 + o. Calculate the common denominator of 9/65 and (-3)/(-9) - j/18.
130
Let p be (-3)/(-6) + (-15)/6. Let u(c) = c**2 + 4*c + 5. What is the lowest common multiple of u(p) and ((-4)/(-22))/(-1) + 68/11?
6
Let v = -3761 - -3969. What is the lowest common multiple of v and 792?
20592
What is the common denominator of 10 + 8789/(-1100) - 15/10 and -7/544?
13600
Suppose 1856 = -18*d + 2*d. Let x = d - -140. Calculate the least common multiple of 56 and x.
168
Let j(u) = u**3 - 4*u**2 + u - 3. Let a be j(4). Calculate the least common multiple of 4 and ((-55)/(-22))/(a/4).
20
Let g(u) = -u**3 + 6*u**2 - 5*u + 4. Calculate the common denominator of g(3) and (-348)/2745 - (((-74)/10 - -1) + 6).
183
Let j = -48031 + 2305355/48. Find the common denominator of -23/366 and j.
2928
What is the lowest common multiple of 340 and 49197/1395 + 8/(-30)?
2380
Let b(t) = -t**3 + 15*t**2 + t - 13. Let q(s) = 6*s - 6. Let m be q(8). What is the smallest common multiple of b(15) and 7/m - (-17)/6?
6
Find the common denominator of 9/126*0 + (-106)/8 and 101/48.
48
Calculate the least common multiple of (-36532)/(-84) - 42/(-441) and 261.
1305
Suppose -13 = -5*b + 2. Find the common denominator of b + (3315/100)/(-13) and 101/20.
20
Suppose -2*p + 2*a + 50 = 0, 2*a - 15 - 15 = -2*p. Let m = p - 34. Find the common denominator of -8/5 and (-4*5)/((-77)/m).
55
Let t(j) = -4*j + 6. Let a be t(0). Suppose 3*r = a*r - 129. Let l = r - 13. Calculate the least common multiple of l and 2.
30
Suppose -8*g + 2*j = -4*g - 52, -5*j = -20. Suppose 5*y = 4*h - 348, 261 = 8*h - 5*h - 5*y. Let p = 90 - h. What is the least common multiple of p and g?
15
Let g = 2900 + -2885. Let h be 8/24 - 88/(-6). Let f = 36 - h. What is the lowest common multiple of g and f?
105
Let n be (-38*1/48)/(3/(-26396)). Let g = -6974 + n. Calculate the common denominator of 0 - ((-346)/(-12))/1 - -5 and g.
18
Let v(x) = -3*x - 31. Let p be v(-21). Let u = p + -33. What is the common denominator of -91/22 and 1*(u + 2) + (-511)/(-14)?
22
Find the common denominator of 9/((-18)/166)*4/(-48) and -109/52.
156
Let w be -2*(-81)/6*-1. What is the common denominator of -77/32 and (-12)/w + (-445)/1260*-22?
224
Let l = -151/5 - -268/15. What is the common denominator of -4 - (1 + -1) - 639/108 and l?
12
Let j = -68290 - -68310. Let z(b) = -35*b. What is the lowest common multiple of j and z(-4)?
140
Let m = 19 + -9. Let f(s) = -26*s**2 - 22*s. Let n(x) = 137*x**2 + 111*x + 1. Let h(b) = -11*f(b) - 2*n(b). Calculate the lowest common multiple of m and h(-2).
30
What is the common denominator of 3 - -4 - (-7)/((-29120)/28067) and (-1281)/54 + -3 + 26/9?
960
Suppose -538 = -2*y + 270. Calculate the smallest common multiple of 12 and y.
1212
Calculate the lowest common multiple of 5320 and (-3756)/(-12) - (-18 - 5).
31920
Let f = -4 + 2. Calculate the common denominator of (-62)/(-2232)*(-2 + -104) and (-271)/84 - f/(-3).
252
Let h be (1*(-3 - 2))/(-1). Suppose -d + h*d = 288. Calculate the common denominator of (-10)/45 + (-974)/d and 48/5.
20
Let n(x) = -x**3 + 5*x**2 - 2*x - 2. Let s be 96/60*5/2. Suppose 36 = 20*c - 14*c. Calculate the least common multiple of c and n(s).
6
Suppose -18*t = 3*t - 609. Suppose 7*q - t - 139 = 0. What is the least common multiple of 9 and q?
72
Find the common denominator of ((-204)/1232)/((-70)/(-84)) and -179/630.
6930
Suppose 5 = 2*p - 11. Calculate the common denominator of ((-7)/3)/(5 - 2) and 38*((-1)/(-15))/(9 - p).
45
Let p(k) = -2*k**3 + 31*k**2 - 15*k - 6. Let b be p(15). What is the smallest common multiple of (((-1288)/42)/(-23))/((-1)/b) and 114?
456
Let j = -71 + 296. Let p be (330/j)/((-8)/(-21095)). Let y = p + -3865. What is the common denominator of y and 143/6?
12
Calculate the common denominator of (-14)/(560/30)*(-164)/(-6) and (-1450)/620 - (-2 - 0 - -1).
62
Suppose 5 = 9*p - 40. Let m = -963 - -967. Calculate the lowest common multiple of m and p.
20
Calculate the lowest common multiple of -8 + 10 - 4*14/(-4) and 128.
128
Let i = -8491/5 - -1604824/945. Calculate the common denominator of 85/108 and i.
756
Find the common denominator of ((-59)/8)/(1716/1040*-30) and -145/126.
2772
Let f(x) = 12*x - 1. Let h be f(5). Let a = -535 - -482. Let v = a + h. Calculate the lowest common multiple of v and 6.
6
Let x be (-2)/(-14) + 4*(-29976)/842464. Let z = x - -342203/90264. What is the common denominator of z and -91/32?
96
Let v be (114/27*2)/(2/120). Let c = 521 - v. What is the common denominator of c and 341/22 - 6/(-2)?
6
Let k = -25254/11 + 2294. Let l = -54531 + 599845/11. What is the common denominator of l and k?
11
Let x be 6*(7925/(-1985) - -4). Let d = 217051/2382 + x. Let a = d + -107. Find the common denominator of 24/11 and a.
66
Let s = -2238 - -4778. What is the least common multiple of s and 20?
2540
Calculate the common denominator of 37/140 and 20/(-4) - ((-6666)/1110 - -1).
5180
Let u = 691521965/1038 - 666206. Find the common denominator of u and 11/12.
2076
Let q(g) = -g**2 + 3*g + 7. Let h be q(5). Calculate the common denominator of 0 + 367/18 + -12 and ((-51)/(-15))/(h/(-5)).
18
Suppose -j = 4*s - 93 + 609, 0 = 2*j - 4*s + 1008. Calculate the least common multiple of (-1)/(-2)*j/(-2) and 11.
1397
What is the smallest common multiple of 15 and 4 + (101 - 9) + -16?
240
Calculate the common denominator of (-201515)/25830 + (1*2)/(-14) and ((-3)/ | {
"pile_set_name": "DM Mathematics"
} |
t value in -1/19, 2/27, -0.5, 1?
2/27
Which is the fourth smallest value? (a) -142.9 (b) 4 (c) 2 (d) -0.4
b
What is the biggest value in 1157/6, -4, 30?
1157/6
Which is the biggest value? (a) -0.5 (b) -0.6 (c) 6023
c
Which is the fourth smallest value? (a) -7 (b) 2977 (c) -1 (d) 6
b
Which is the biggest value? (a) -2 (b) -4 (c) 2/13 (d) -0.5 (e) -0.3
c
Which is the fifth smallest value? (a) 1/5 (b) 0.04 (c) -4 (d) -2/9 (e) 1
e
Which is the second biggest value? (a) 9362 (b) 2 (c) -28 (d) 1/6
b
Which is the biggest value? (a) 3 (b) 1614 (c) 6/13
b
What is the third smallest value in -2, -3, 3/8, -10, 2/95?
-2
Which is the third biggest value? (a) -3/13 (b) 1/2 (c) 1 (d) 0.04 (e) 0.8
b
What is the third biggest value in 0.7, 1/46, -12, 1?
1/46
Which is the fifth smallest value? (a) 0.5 (b) -1 (c) -4.137 (d) 0.02 (e) -3/8
a
What is the third smallest value in -604/9, 55, -3/7?
55
Which is the smallest value? (a) -1 (b) -13/5 (c) -2 (d) 0.6
b
What is the fourth smallest value in 1, -3/8, 0.4497, -1/2?
1
Which is the second biggest value? (a) 2 (b) 1 (c) -29 (d) -312
b
Which is the fourth smallest value? (a) 2 (b) -0.5 (c) -17 (d) 0.2 (e) -176 (f) 0.3
d
Which is the third biggest value? (a) 0.319 (b) 1/6 (c) -1 (d) 0 (e) -2 (f) 0.2
b
What is the sixth biggest value in -1/3, 2/9, -14, 2/11, 3/46, -0.17?
-14
Which is the second biggest value? (a) 0.3 (b) -38 (c) -0.1 (d) -8.7 (e) 1/9 (f) -4
e
Which is the second biggest value? (a) 7 (b) -1/3 (c) 39.5 (d) -0.1 (e) -2/7
a
What is the third biggest value in 0.5, -2/191, -2, -0.4, -2/521, 4/7?
-2/521
Which is the biggest value? (a) 4 (b) 24324 (c) 0.4
b
What is the fourth biggest value in -1, 0, -17/2, -0.5, 3, 1/9?
-0.5
What is the sixth biggest value in -0.06, -1, 12, 3, 3/131, 2/19?
-1
What is the third biggest value in 0.2, -5, 0.08, -2/13, 184?
0.08
Which is the second biggest value? (a) 2/9 (b) 1/3 (c) -0.1165 (d) 2/13
a
What is the second biggest value in -3/5, 0.2, 2, -1/36, -2/21, -2/2025?
0.2
What is the sixth smallest value in -2.131, -1/6, 0.4, 3/4, 3, -2?
3
Which is the second biggest value? (a) 29.8 (b) -1/5 (c) -12
b
What is the second biggest value in -3/2, -2, -4, -25894?
-2
Which is the second biggest value? (a) -2/9 (b) -2/7 (c) -6.14 (d) 3 (e) -3
a
What is the sixth smallest value in 3, 2/73, -0.1, -9, 4, -2/11?
4
What is the third biggest value in 2, 0.0429, -1188?
-1188
What is the sixth biggest value in -1, 0.1, 2, 1/15, -2/7, 9/2?
-1
Which is the second biggest value? (a) -2 (b) 2/3 (c) -1 (d) -3581
c
What is the smallest value in -12, -1, 200?
-12
Which is the biggest value? (a) 0.5 (b) -2 (c) 2/5 (d) 481
d
Which is the biggest value? (a) -302 (b) -0.048 (c) -0.1
b
What is the fifth smallest value in -1/7, 17/2, -2/3, 13, -1, -3?
17/2
Which is the biggest value? (a) -1/3 (b) -5 (c) -154.9 (d) 0.4
d
What is the third biggest value in 13, 0.1, 37/15?
0.1
What is the fifth smallest value in -13, 0, -21, 2/19, -0.03, -0.25?
0
Which is the second smallest value? (a) -2 (b) 3/2 (c) 264 (d) -0.4 (e) 0.1
d
Which is the third biggest value? (a) 0 (b) -0.95 (c) -4 (d) -58
c
What is the second biggest value in 1/3, 28.13, -2/9, 5?
5
Which is the third smallest value? (a) -3/44 (b) -5 (c) -2/21 (d) -19 (e) 0.202
c
Which is the biggest value? (a) 1 (b) -1.2756 (c) -0.03
a
Which is the third biggest value? (a) 3201 (b) 18 (c) -0.2
c
Which is the second biggest value? (a) 0.1 (b) 0.8 (c) -131 (d) 2
b
What is the smallest value in 23, -24, -5?
-24
What is the fourth biggest value in 0, 0.04, -13.289, -3, 2?
-3
What is the third biggest value in 348, -12/7, -2/15?
-12/7
What is the fourth biggest value in 23, 4, -8, 0, 3/10?
0
What is the third smallest value in -74, -4, 61/7?
61/7
Which is the fifth biggest value? (a) 5 (b) 95 (c) 0.4 (d) -0.044 (e) 2
d
What is the third biggest value in 320181, 2/3, 0.5?
0.5
Which is the third biggest value? (a) -0.5 (b) -4 (c) -4261
c
Which is the second biggest value? (a) -8/7 (b) 91 (c) -101
a
What is the fourth smallest value in -0.18, 32, 0, -5, -2?
0
What is the fifth smallest value in 2/7, 4/9, -39, 2/13, -2/3, 21/5?
4/9
Which is the second smallest value? (a) -1/5 (b) 2 (c) 22/3 (d) 0.41 (e) 1/5 (f) 1
e
What is the fourth biggest value in 3/2, 141, -0.3, -0.5, 2/7?
-0.3
What is the second smallest value in -0.5, 199, 0.4, 1/8?
1/8
Which is the smallest value? (a) -19 (b) -0.03116 (c) 1
a
What is the second smallest value in 3/5, 0.4, -2/19, -0.085, 12, -2?
-2/19
What is the sixth biggest value in -1/4, 38, -2, -0.4, -8/5, -3?
-3
What is the fifth biggest value in 4, 1/6, 2/9, 0, -3/34?
-3/34
What is the fifth smallest value in 15/2, 2/5, 3/8, 1/2, -0.3?
15/2
What is the third biggest value in 4, 0.239, -2, -0.5?
-0.5
What is the smallest value in 3/8, -1, 1/5, -3, -2863, 3?
-2863
What is the second smallest value in -3, -0.2, -0.1, 0.37, 2/7, 0.22?
-0.2
Which is the second biggest value? (a) 0.2 (b) -1/11 (c) -2/7 (d) -4 (e) 14.28 (f) 0.7
f
What is the second smallest value in -7, 2/15, 4, 0, 6, 1/6?
0
Which is the smallest value? (a) -3/7 (b) -5/3 (c) 7938
b
What is the fifth smallest value in 3/2, 0.6, -0.33, 0, 1/13, -5?
0.6
What is the second biggest value in -5, -1.86, -156.5?
-5
Which is the third smallest value? (a) -17625 (b) -2/7 (c) 5
c
What is the smallest value in 5, 5/2, 0.3, 39?
0.3
Which is the second biggest value? (a) -0.2 (b) -312 (c) -5 (d) 3 (e) -2 (f) 0
f
Which is the third smallest value? (a) -0.2 (b) 41/2 (c) 444 (d) 4
b
What is the fifth smallest value in 37/6, -2/5, 4, -1/21, 1?
37/6
Which is the third biggest value? (a) 1/73 (b) -4 (c) 5 (d) -0.4
d
What is the fourth biggest value in 7/16, 1, -3/8, 0, 0.5?
0
What is the biggest value in -1, -100, -4.9?
-1
What is the smallest value in -2/7, -0.3, 2, 7, 30, -2/5?
-2/5
Which is the second biggest value? (a) -2.05473 (b) 5 (c) 1/4
c
What is the second biggest value in -3, -2206414, 1?
-3
Which is the fourth biggest value? (a) -38 (b) -1 (c) -0.19 (d) -3/2 (e) -0.5
d
Which is the second smallest value? (a) 4 (b) -0.1 (c) 0.085 (d) -38/7
b
Which is the fifth smallest value? (a) -32 (b) -3 (c) -0.91 (d) 1.4 (e) 5/2
e
Which is the third smallest value? (a) -1 (b) 5/4 (c) -3/2 (d) 151 (e) -6
a
What is the second biggest value in -0.294, -279, 0.5?
-0.294
What is the fourth biggest value in -5, 0, -59, 0.18, -12?
-12
What is the fourth biggest value in -3/2, -0.56, -3/4, -8, 2?
-3/2
Which is the second smallest value? (a) 8 (b) 0.5 (c) -1/3 (d) 2/5 (e) 0.3
e
What is the fourth biggest value in 34, 2/5, -0.5, 213, -4?
-0.5
Which is the sixth smallest value? (a) -1 (b) -0.5 (c) 5 (d) -80 (e) -2 (f) 3
c
What is the smallest value in 326.2, 1/7, 0.3?
1/7
What is the smallest value in -4, 5, 1, 8/25?
-4
Which is the biggest value? (a) -41 (b) -4/7 (c) 2/7403 (d) 4
d
Which is the third biggest value? (a) -666/11 (b) -1/9 (c) 3
a
Which is the sixth biggest value? (a) -2/11 (b) 6 (c) 1/14 (d) 221 (e) 1/2 (f) 2/3
a
What is the smallest value in 0.1, -34, -8, -81, 2/13?
-81
What is the fifth biggest value in 5, -1411.97, -1, 0, 4/7?
-1411.97
Which is the second biggest value? (a) -7 (b) -740 (c) 22
a
What is the fourth biggest value in -0.3, -1/5, 77.8, 0.11, 3, -3?
-1/5
Which is the fourth biggest value? (a) 0.4 (b) -0.3 (c) -11 (d) -237/2 (e) -2 (f) 3
e
What is the third biggest value in -356/17, -0.2, -0.4, 45?
-0.4
What is the second biggest value in 18/119, 7, -3, 2, -0.07, 0.5?
2
Which is the smallest value? (a) 1 (b) -1 (c) -8/7 (d) -3/5 (e) -19 (f) -4
e
Which is the fifth smallest value? (a) -1/3 (b) -1/576 (c) -6 (d) 3/16 (e) -1
d
Which is the second smallest value? (a) 1/2 (b) 10 (c) 0.01 (d) -4/3 (e) -25
d
What is the fourth biggest value in 2, 1/6, 0.3, 169.6, 0.2?
0.2
Which is the fourth biggest value? (a) 75 (b) 5 (c) -3/14 (d) -0.3
d
Which is the second smallest value? (a) 8/5 (b) -2 (c) 3/796 (d) 3/2
c
Which is the fifth smallest value? (a) 12 (b) -0.3 (c) 0 (d) -4 (e) 14 (f) 4/13
a
What is the third biggest value in -24464/7, | {
"pile_set_name": "DM Mathematics"
} |
2*i + i + 37 - 32 = 0 for i.
5
Solve 152*c + 1112 = -206*c - 198*c for c.
-2
Solve 62*c = -125*c - 610 + 2854 for c.
12
Solve 52 + 126 = 17*g - 26 for g.
12
Solve 251*p - 245*p = -54 for p.
-9
Solve 56*m = -9*m + 15*m for m.
0
Solve -1874 = 87*z - 917 for z.
-11
Solve -88*j = 167*j + 255 for j.
-1
Solve 0 = 25*y + 15*y + 257 + 23 for y.
-7
Solve -26*n - 23470 + 23106 = 0 for n.
-14
Solve 0 = -9*i + 58 - 21 + 35 for i.
8
Solve -13 + 0 = 29*t - 100 for t.
3
Solve -43*i - 6*i + 286 = -841 for i.
23
Solve 0 = -164*p + 143*p - 294 for p.
-14
Solve 28*l = -74*l - 102 for l.
-1
Solve 212*p + 689 - 7261 = 0 for p.
31
Solve -42 + 104 = 11*n - 37 for n.
9
Solve 652*d - 104 = 626*d for d.
4
Solve -274*w + 1147 + 144 + 1723 = 0 for w.
11
Solve 469*j - 30 = 474*j for j.
-6
Solve -16632*j + 16658*j - 208 = 0 for j.
8
Solve 11*c - 4 + 9 + 39 = 0 for c.
-4
Solve -50708*a + 150 = -50718*a for a.
-15
Solve -2449*z = -2681*z - 3944 for z.
-17
Solve 0 = 67*y - 81*y - 98 for y.
-7
Solve 18*l + 277 = 529 for l.
14
Solve -409*o + 845*o = 423*o - 351 for o.
-27
Solve -268 + 1138 = 85*p - 320 for p.
14
Solve 0 = 934*u - 972*u + 54 - 16 for u.
1
Solve -2214*c - 273 = -2253*c for c.
7
Solve 389*g = 5071 + 5043 for g.
26
Solve -2420*m + 1880 = -2373*m for m.
40
Solve 9114 = 228*b + 423*b for b.
14
Solve 804 = 6*w + 786 for w.
3
Solve 23*w - 11*w - 113 = 223 for w.
28
Solve 93*o = 60*o + 76*o for o.
0
Solve 0*y - 6864 = -516*y - 12*y for y.
13
Solve -955 - 4247 - 1134 = 352*g for g.
-18
Solve -1166 = 228*i + 430 for i.
-7
Solve -45*h - 53*h - 52*h = 300 for h.
-2
Solve 17*w + 244 = -12*w - 32*w for w.
-4
Solve -2*p - 56 = 5*p - 14*p for p.
8
Solve 156 = -105*f - 234 - 240 for f.
-6
Solve -17*k = 47*k + 50 - 1202 for k.
18
Solve -2127 - 4033 = -36*h + 476*h for h.
-14
Solve 19*n = -2013 + 1956 for n.
-3
Solve 47*t - 96 - 139 = 94 for t.
7
Solve -6*m - 224 = 9*m + 91 for m.
-21
Solve -7*r - 279 + 342 = 0 for r.
9
Solve -24*j + 35*j = -52*j + 756 for j.
12
Solve -34268 = -820*j - 11308 for j.
28
Solve 155 = 20*z + 115 for z.
2
Solve 4*u - 9*u + 165 = 10*u for u.
11
Solve 1091*f + 361 + 521 = 1133*f for f.
21
Solve 315 = 43*g + 46 - 247 for g.
12
Solve 0 = 134*w + 329 + 2485 for w.
-21
Solve 30*a - 99 = 45*a + 6 for a.
-7
Solve 391*c = 380*c - 110 for c.
-10
Solve -40*m - 52*m - 480 = -12*m for m.
-6
Solve -636 = -116*b + 35*b + 498 for b.
14
Solve 0 = -221*y - 955 - 1034 for y.
-9
Solve 156 = 5*m + 23*m + 24*m for m.
3
Solve 678*z = 1035*z + 760*z - 3351 for z.
3
Solve 241 = -52*q + 1697 for q.
28
Solve -2335 = -415*j + 2264 + 2041 for j.
16
Solve 0 = -73*j + 80*j + 21 for j.
-3
Solve 0 = 35*z - 4*z - 27*z + 20 for z.
-5
Solve -m - 4095 = -4122 for m.
27
Solve -7312 = 955*f + 5154 + 1859 for f.
-15
Solve 213*j + 450 = -2958 for j.
-16
Solve 4*q - 20*q - 96 = 48 for q.
-9
Solve 23*d + 5*d = -32*d - 660 for d.
-11
Solve 0 = 4*u - 54 + 160 - 66 for u.
-10
Solve 0 = 477*x + 699*x - 5880 for x.
5
Solve -34*v = -216*v + 44*v - 2208 for v.
-16
Solve 22*q + 3900 = -92*q - 81*q for q.
-20
Solve 113*a - 121 = -1929 for a.
-16
Solve 52 + 28 = 12*f - 4*f for f.
10
Solve 6*k - 109 + 66 + 247 = 0 for k.
-34
Solve 0 = -36*g - 115*g - 480 - 1634 for g.
-14
Solve -11188 = -6*o - 11158 for o.
5
Solve 319 = -153*d + 2*d - 285 for d.
-4
Solve 57*q - 28 + 940 = 0 for q.
-16
Solve 8*q = -26*q + 7 - 619 for q.
-18
Solve 146*i + 347 = 331 + 1476 for i.
10
Solve -208 = -132*i + 56 for i.
2
Solve -26*a = 28*a - 26*a - 168 for a.
6
Solve 0 = -772*l + 773*l - 10 for l.
10
Solve -132*y + 144 = -1044 for y.
9
Solve 54*z + 263 + 147 + 454 = 0 for z.
-16
Solve 3*j + 5*j - 53 - 35 = 0 for j.
11
Solve -21*z + 92 = -93 - 46 for z.
11
Solve 110 - 404 = 42*o for o.
-7
Solve 0 = 45*v - 161*v - 243 - 1265 for v.
-13
Solve -56*r = -199*r - 1456 - 1404 for r.
-20
Solve -297*a - 328*a + 190*a = -3045 for a.
7
Solve 704 = 30658*x - 30594*x for x.
11
Solve 8*d + 12358 = 12054 for d.
-38
Solve 0 = 77*k - 1081 - 74 for k.
15
Solve 24*t - 147 = -44*t + 57 for t.
3
Solve 0 = -62201*y + 62176*y + 350 for y.
14
Solve 226*m = 57 - 283 for m.
-1
Solve 3533 = -8*u + 3517 for u.
-2
Solve -13*r + r + 81 = 15*r for r.
3
Solve 95 + 18 = 228*d - 115 for d.
1
Solve 0 = -418*s + 392*s - 520 for s.
-20
Solve -2723*s = -2617*s - 1590 for s.
15
Solve 180 - 126 = -40*l - 226 for l.
-7
Solve 0 = 64*m - 14 + 142 for m.
-2
Solve -6326 + 6146 = 30*o for o.
-6
Solve 302926*s = 302935*s - 36 for s.
4
Solve 3639*w - 3651*w - 180 = 0 for w.
-15
Solve 71*w = -846 + 633 for w.
-3
Solve 0 = -21*t + 320 - 278 for t.
2
Solve -51 + 408 = 21*v for v.
17
Solve 252 - 266 + 1364 = -150*i for i.
-9
Solve -171*x + 1282 + 770 = 0 for x.
12
Solve 18*h = 46493 - 46475 for h.
1
Solve -156*h + 206 = -730 for h.
6
Solve -2551*b = -2598*b - 188 for b.
-4
Solve -114 = 23*g + 17*g + 17*g for g.
-2
Solve 6*p - 2*p = -7*p - 132 for p.
-12
Solve 9238*p - 9341*p = -206 for p.
2
Solve 0 = 77*p - 6*p + 379 - 1231 for p.
12
Solve 138*b = 32*b - 742 for b.
-7
Solve 54*a + 367 = 205 for a.
-3
Solve -399*m - 15 = -402*m for m.
5
Solve 297*c - 780 - 3081 = 0 for c.
13
Solve 203*f - 37*f + 830 = 0 for f.
-5
Solve 46282 - 46576 = 21*t for t.
-14
Solve 0 = 70*k + 129 + 121 + 520 for k.
-11
Solve -9591 = -267*g - 150*g for g.
23
Solve 0 = -246*f - 363*f + 609 for f.
1
Solve 0 = 536*a - 499*a + 222 for a.
-6
Solve 97*n + 0*n - 3120 = -111*n for n.
15
Solve 0 = -95*z - 77*z + 253*z + 1944 for z.
-24
Solve -108*l - 64 + 540 = -1036 for l.
14
Solve -217*i - 412 - 239 = 0 for i.
-3
Solve 230*d - 762*d + 2471 = -1253 for d.
7
Solve 769*u + 45 = 780*u - 142 for u.
17
Solve 10*z - 21*z = -143 for z.
13
Solve -34*w + 1239 = -16*w + 41*w for w.
21
Solve -161217*p + 161172*p - 765 = 0 for p.
-17
Solve 106*p = 92*p + 84 for p.
6
Solve -6741 = 2*u + 2*u - 6733 for u.
-2
Solve 633 = -68*m + 1653 for m.
15
Solve 300 + 162 = 78*n - 6 for n.
6
Solve -20*b + 0*b + 204 = -32*b for b.
-17
Solve 4*n - 42*n = -21*n + 340 for n.
-20
Solve -22*i = -105 + 81 - 218 for i.
11
Solve -24 = -11*n + 121 - 13 for n.
12
Solve 173 = -173*a - 3287 for a.
-20
Solve -568 = 76*t - 2316 for t.
23
Solve -1977*p = -1965*p - 240 for p.
20
Solve 147*z + 602*z = 104*z + 10320 for z.
16
Solve -20*y + 0 = -240 for y.
12
Solve 13*l + 9261 - 9037 = -3*l for l.
-14
Solve -140 - 16 = 16*q + 36 for q.
-12
Solve -147 = 18*k + 129*k for k.
-1
Solve 26*z + 448 = 114 - 30 for z.
-14
Solve -18*x - 12 = -37*x + 17*x for x.
6
Solve -33*q + 208 = 71*q for q.
2
Solve 0 = 279*c - 276*c + 4 - 10 for c.
2
Solve -41*b + 4*b + 70 + 337 = 0 for b.
11
Solve 5070 = 70*a - 234*a - 681*a for a.
-6
Solve 38 = 4619*l - 4657*l for l.
-1
Solve 0 = 8111*j - 8117*j + 54 for j.
9
Solve 101*c + 481 = -433 - 904 for c.
-18
Solve 3*f - 252 + 255 = 0 for f.
-1
Solve -906*r = 1408*r - 186*r + 53200 for r.
-25
Solve 0 = -26*k + 27*k + 77*k + 234 for k.
-3
Solve 127 = -129*h - 173 - 216 for h.
-4
Solve -5*h - 2194 = -2209 for h.
3
Solve 255 = 159*q - 108*q for q.
5
Solve -272*f = 381*f + 10419 + 4600 for f.
-23
Solve -17259 = -22*l - 8318 - 8413 for l.
24
Solve 0 = -4*m - 34*m + 277 - 49 for m.
6
Solve 594*p + 4195 + 6497 = 0 for p.
-18
Solve -519 = 182*g + 608 + 3059 for g.
-23
Solve -153 + 48 = 45*u - 10*u for u.
-3
Solve 0 = 24*i - 39 - 99 - 30 for i.
7
Solve -559 + 651 = -25*t - 508 for t.
-24
Solve 9*z - 59 + 128 = -57 for z.
-14
Solve 13*r + r = 4*r + 20 for r.
2
Solve -53 + 5 = 10*h + 82 for h.
-13
Solve 54*c - 2*c = -2*c + 108 for c.
2
Solve -59*u = -21*u - 912 for u.
24
Solve 9 = -44*k + 161*k - 576 for k.
5
Solve 26*t = -33 - 201 for t.
-9
Solve 21*r + 152 = 43*r - 30*r for r.
-19
Solve -424*y + 817*y - 408*y - 210 = 0 for y.
-14
Solve -3*s = 95 - 98 for s.
1
Solve 21 = -6458*w + 6520*w + 951 for w.
-15
Solve -c - 570 = -279 - 286 for c.
-5
Solve 266*y = -2005 + 5463 for y.
13
Solve -14*m - 7840 = -8218 for m.
27
Solve 65*y - 20844 = -20974 for y.
-2
Solve 11*l - 144 = 40*l + 117 for l.
-9
Solve 87*q + 32 = 184*q - 81*q for q.
2
Solve -44*c - 3000 = -169*c for c.
24
Solve -46*a + 6*a - 3784 = -212*a for a.
22
Solve -30*k = 105 - 375 for k.
9
Solve -1234*u + 182 = -1221*u for u.
14
Solve 114*s - 322*s + 1872 = 0 for s.
9
Solve -14888*f + 14919*f - 775 = 0 for f.
25
Solve 46*g - 17*g + 640 = -51*g for g.
-8
Solve -107788*l = -107862*l - 1702 for l.
- | {
"pile_set_name": "DM Mathematics"
} |
- 2*x + i = 135. What is the remainder when 79 is divided by x?
23
Suppose -5*m + 25249 = -4*v, -3*m - 37*v = -36*v - 15129. Calculate the remainder when m is divided by 50.
45
Suppose -242 = 15*n - 13*n. Calculate the remainder when (-1 + 2)/((-2)/12) - n is divided by 32.
19
Let u(n) = -n**3 - 2*n**2 + 2*n. Let k(g) = g**3 + 6*g**2 - 5*g + 9. Suppose 8*x + 50 = -6. Let r be k(x). Calculate the remainder when u(r) is divided by 17.
14
Suppose -5*j = -5*n + 480, 0*n = 2*n + 5*j - 220. Calculate the remainder when 1157 is divided by n.
57
Suppose -18*d + 21*d + 189 = 0. Let s = 3 - -4. What is the remainder when (-1246)/d - (-2)/9 is divided by s?
6
Let c(p) = -41*p + 87 + 13*p - 27 + 22*p. Suppose 0*g + g = 59. What is the remainder when g is divided by c(8)?
11
Let b = -1860 - -2145. Calculate the remainder when b is divided by 58.
53
Let a(y) = -y**3 + 4*y**2 + 23*y - 12. Let o be a(7). Suppose f + 27*h - 46 = 32*h, -3*h = -o*f + 120. Calculate the remainder when 261 is divided by f.
63
Let j = -1062 + 1684. Calculate the remainder when j is divided by 122.
12
Let i(m) = -66*m + 1 - 3 - 211*m. Let q be i(-2). What is the remainder when (q/(-36))/(2*(-2)/6) is divided by 8?
7
Let g(s) = -2*s**3 - 160*s**2 + 160*s + 6. What is the remainder when 512 is divided by g(-81)?
8
Let q be -8 + 51/6 + (-669)/(-2). Let v = 370 - q. Calculate the remainder when v is divided by 14.
7
Suppose -5*c + 0*p + 977 = -3*p, 0 = -p + 1. Suppose -222 + 2422 = 22*l. Calculate the remainder when c is divided by l.
96
Suppose 12*v = -36*v + 2208. What is the remainder when 454 is divided by v?
40
Suppose 13*t + 650 = 23*t. Suppose 0 = -w - 17 + t. Calculate the remainder when 135 is divided by w.
39
Suppose 24*d - 1945 = 2654 - 3543. Calculate the remainder when 4927 is divided by d.
43
Suppose 0 = -314*v + 2014 + 2382. Suppose -436 = -2*x + 176. Calculate the remainder when x is divided by v.
12
Let s(m) = 51*m**3 + 3*m**2 - 12*m + 11. Calculate the remainder when 2429 is divided by s(1).
44
Let k be (12/(-10))/(7/(210/(-12))). Let q be (4 - (-4 + 7))/(1/k). Suppose -5*z + 4*u + 64 = -z, q*z - 4*u = 53. What is the remainder when 30 is divided by z?
8
Let r(y) = -6*y - 6. Let l be -4 + (-80)/(-13) + (-18)/117. Suppose 3*b - 219 = -l*a - a, -2*b = -6. Calculate the remainder when a is divided by r(-5).
22
Let j(h) = 36*h - 131. Suppose -10*k = -8*k - 60. Suppose y - 5*w - 64 = 11, 0 = y + 4*w - k. Calculate the remainder when y is divided by j(4).
11
Let n be (8 - 60/7) + (-540)/(-14). What is the remainder when 27 is divided by ((0 - 2) + 0)/(n/(-285))?
12
Suppose -2*s + 4700 = 3*c, 2*c - s + 3*s = 3134. Calculate the remainder when c is divided by 7.
5
Suppose -256 = -3*u + h + 59, 4*u - 420 = 3*h. Calculate the remainder when 378 is divided by u.
63
Let b(o) = -6*o**2 + 427*o - 356. What is the remainder when b(66) is divided by 337?
5
Let r be 3/(-2)*(1 + (-21)/9). Suppose 3*i - 7*i - r*d = -44, -2*i + 4*d + 12 = 0. Suppose -8*v = -i*v + 24. Calculate the remainder when 30 is divided by v.
6
Let p(m) = 24*m**2 + 2*m + 1. Let d be (-286)/(-2)*1/(-2 - -3). Suppose 17*n - d = 6*n. Calculate the remainder when p(-1) is divided by n.
10
Let w be (-2)/(-3) + ((-111)/9)/(-1). Suppose w*r = 15*r - 20. Suppose -2*c - 320 = -r*c. Calculate the remainder when 156 is divided by c.
36
Suppose 2*v - 5*t = 10748, 2*v - v = -4*t + 5361. Suppose -v = 11*h - 24*h. What is the remainder when h is divided by 69?
68
Suppose g - 5*s - 53 = 0, 33*g + 107 = 34*g + 4*s. Suppose 3*o - 11 = 52. What is the remainder when g is divided by o?
20
Let w(z) = -13*z - 117. Let g be w(-27). Let a = -221 + g. Let m(u) = 192*u**2. What is the remainder when m(-1) is divided by a?
10
Suppose 301*u + 10128 = 304*u - 3*i, 3*u - 5*i = 10122. Calculate the remainder when u is divided by 94.
89
Let y = -7508 - -7536. What is the remainder when 2311 is divided by y?
15
Let l(x) = 33*x**2 - 3*x - 1. Let a = -768 - -802. What is the remainder when l(-3) is divided by a?
33
Suppose 7*v - 15080 = -2781. Calculate the remainder when v is divided by 110.
107
Let f(g) = -7*g**2 + 63*g + 11. Let c be f(12). Let b = c - -418. What is the remainder when b is divided by 18?
15
Let f(m) = -2*m**2 - 7*m + 9. Let j be f(3). What is the remainder when 202 is divided by 45/j*(-8)/(-6) - -14?
10
Let s(w) = 11*w - 374. Let p be (3 + -25)/((-5)/20). Let g = 162 - p. Calculate the remainder when g is divided by s(35).
8
Let z = -26450 - -27011. What is the remainder when z is divided by 225?
111
Suppose 32*z = 24*z. Suppose 4*s = -5*w - 42, -2*w + 3*s + z*s = 26. Calculate the remainder when 91 is divided by (-2)/((-8)/93) + w/40.
22
Calculate the remainder when (2 + -135)/((-7)/63) is divided by 40.
37
Let o = 215 + -140. Suppose 0 = 4*r - u - 567, -3*r = -u + o - 500. Suppose -r = -3*f + a, -4*f - 4*a + 122 = -f. What is the remainder when f is divided by 7?
4
Let y(j) = -34*j + 7. Let d(g) = g**2 - 11*g + 52. Suppose 3*k = 5*k - 16. Calculate the remainder when y(-3) is divided by d(k).
25
Let m = 1985 - 1978. Let i(g) = -g**3 - g + 41. Calculate the remainder when i(0) is divided by m.
6
Let k(q) = 3*q**2 - 18*q + 15. Let g be k(7). Suppose g + 54 = 6*y. Calculate the remainder when 77 is divided by y.
2
Suppose 34*u = 214 + 194. Calculate the remainder when u/54 + 403/9 is divided by 12.
9
What is the remainder when 849 is divided by -6*(-44)/(-24) - -97?
75
Let j = -2131 - -3858. Calculate the remainder when j is divided by 6.
5
Let l(q) = -473*q + 2458. What is the remainder when l(5) is divided by 16?
13
Suppose -3897 = -119*v + 38467. Calculate the remainder when v is divided by 13.
5
Calculate the remainder when 22/(-264) - 81892/(-48) is divided by 349.
310
Let k(y) = y - 20. Let q be k(16). Let o(f) = f**2 - 2*f + 2. Calculate the remainder when q/7 - -207*(-1)/(-7) is divided by o(3).
4
What is the remainder when 2247 is divided by 448 - (18 + -11 + -3 + 2 + -4)?
17
Suppose -3*i + 17 = 2. Let q(m) be the first derivative of -m**4/2 - m**3/3 - 7. Calculate the remainder when i is divided by q(-1).
0
Let s = -41 + 24. Let j = s - -29. What is the remainder when (7525/(-645))/((-1)/3) is divided by j?
11
Let l(p) = -p**3 - 21*p**2 - 30*p - 164. Let b(i) = 5*i**3 + 2*i**2 - 3*i - 1. Calculate the remainder when b(3) is divided by l(-20).
35
Suppose 8*l - m = 3*l - 8, l = 3*m + 4. What is the remainder when ((-21)/l)/(1 - 10/16) is divided by 8?
4
Let u be (-30)/5*38 - 6. Calculate the remainder when 16*7 - (-2)/(-2) is divided by (-1)/13 + (-4464)/u.
16
Let y(u) = -u + 12*u**2 + 5*u**2 - u - 3*u**2 + 2. Let p be y(4). Suppose 3*c + q + 215 = 7*c, -p = -4*c - 2*q. Calculate the remainder when c is divided by 11.
10
Suppose 3*l = 2*l. Suppose n - 3*q - 138 = 0, l = 5*n - 2*q - 3*q - 670. Let f = n - 93. What is the remainder when f is divided by 10?
9
Suppose 0 = -b + 2*i + 802, 8*b - 1636 = 6*b - 4*i. What is the remainder when 68 is divided by (-10)/8 + b/40?
11
What is the remainder when ((-1820)/525)/((-4)/318) + 20/50 is divided by 131?
14
Suppose -15 = w - 2*w - 3*t, 94 = 5*w - 4*t. Calculate the remainder when 147*(-9 + 560/60) is divided by w.
13
Let c(j) = -j**2 - 10*j + 172. Let g be c(-18). Suppose -g = -4*o + 176. Calculate the remainder when 201 is divided by o.
48
Let z = 4440 - 4350. Calculate the remainder when z is divided by 35.
20
Let y be 2/(4/(-2 - -18)). Suppose 3*p - 5*l - y = 37, -4*l = -p + 15. Let k(c) = 4*c**2 + 3*c - 2. What is the remainder when k(-3) is divided by p?
10
Let h = 2 + 3. Suppose -h*i + 4*i = 4*i. Suppose -5*f + 90 = -i*f. What is the remainder when f is divided by 10?
8
Suppose -8*c = 11 - 11. Suppose -177 - 47 = -2*s - a, c = -3*a. Suppose 0 = -2*j + 38. What is the remainder when s is divided by j?
17
Let h be 5 - (2 - 3)/(1/4). Let c = h + 8. Calculate the remainder when 23 is divided by c.
6
Let q = -131 - -131. Suppose -57 = -5*c - 3*z, -4*c = -q*c + 2*z - 44. Calculate the remainder when 105 is divided by c.
6
Let a(q) = -7*q + 3*q - 58 - 24 - 11*q - 6*q. Calculate the remainder when 135 is divided by a(-5).
20
Let l(z) = -4*z**2 + 22*z + 59. What is the remainder when 2139 is divided by l(7)?
14
Suppose 120 = -2*i - 144. Let g = -129 - i. Suppose 3*t + t - 79 = 5 | {
"pile_set_name": "DM Mathematics"
} |
king 3 m?
35/969
What is prob of picking 4 q when four letters picked without replacement from {m: 5, q: 15}?
91/323
Two letters picked without replacement from {t: 6, p: 4, c: 5}. Give prob of picking 1 c and 1 t.
2/7
Three letters picked without replacement from sriiisrrfilsssyrr. What is prob of picking 1 l, 1 y, and 1 i?
1/170
What is prob of picking 1 l, 1 u, and 1 p when three letters picked without replacement from pxluklp?
4/35
What is prob of picking 2 x and 1 l when three letters picked without replacement from {p: 1, x: 2, l: 2}?
1/5
Two letters picked without replacement from {g: 2, u: 3, i: 1, m: 1, p: 1, b: 5}. What is prob of picking 1 m and 1 i?
1/78
Four letters picked without replacement from {g: 1, q: 3, l: 6, e: 5, j: 3}. What is prob of picking 1 g, 2 l, and 1 j?
1/68
Three letters picked without replacement from {s: 4, a: 3, d: 2, g: 1, k: 7, w: 1}. What is prob of picking 2 a and 1 d?
1/136
What is prob of picking 2 b and 1 c when three letters picked without replacement from acaabaacacbabbca?
3/70
What is prob of picking 1 q and 1 u when two letters picked without replacement from elleluuturtltlqllll?
1/57
Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {x: 1, p: 6, r: 3, n: 3}.
15/286
What is prob of picking 3 g and 1 d when four letters picked without replacement from {f: 1, d: 6, g: 12}?
110/323
What is prob of picking 1 t and 1 u when two letters picked without replacement from ttttthetetteeteue?
9/136
Two letters picked without replacement from {l: 1, w: 1, y: 2, r: 2, s: 1, o: 1}. Give prob of picking 2 l.
0
Two letters picked without replacement from nzznznmxzmnnnzsmznx. What is prob of picking 1 n and 1 m?
7/57
Four letters picked without replacement from wewfuwffeepeuweuew. What is prob of picking 1 p, 1 w, 1 f, and 1 e?
1/34
What is prob of picking 1 k, 1 f, and 2 o when four letters picked without replacement from kekfkooefeoeeeo?
12/455
What is prob of picking 1 e and 2 a when three letters picked without replacement from aaaaee?
3/5
What is prob of picking 3 m and 1 t when four letters picked without replacement from {g: 10, m: 4, p: 1, t: 5}?
4/969
Two letters picked without replacement from hhhhpppprphhrhhphh. Give prob of picking 2 h.
5/17
Three letters picked without replacement from {k: 1, g: 1, s: 2, c: 7, f: 5}. What is prob of picking 1 k and 2 c?
3/80
Three letters picked without replacement from fotip. Give prob of picking 1 f, 1 t, and 1 o.
1/10
Three letters picked without replacement from {v: 2, u: 3, n: 9, m: 3, i: 1}. What is prob of picking 1 m and 2 u?
3/272
Three letters picked without replacement from ttttttttttttttttts. Give prob of picking 3 t.
5/6
Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {w: 1, o: 7, l: 3, s: 5}.
9/260
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from iacticiiccc.
1/11
Four letters picked without replacement from {y: 1, e: 7}. What is prob of picking 3 e and 1 y?
1/2
Calculate prob of picking 2 b when two letters picked without replacement from {h: 5, r: 1, w: 1, b: 3, k: 3, e: 2}.
1/35
Three letters picked without replacement from {w: 1, l: 4, j: 3, s: 1, r: 4, v: 7}. What is prob of picking 1 r, 1 w, and 1 v?
7/285
Four letters picked without replacement from {d: 1, c: 2, p: 4, a: 1}. Give prob of picking 2 a and 2 c.
0
Four letters picked without replacement from {x: 3, f: 3, q: 2, c: 12}. Give prob of picking 3 f and 1 c.
4/1615
Calculate prob of picking 1 t and 1 b when two letters picked without replacement from tbmbmt.
4/15
Two letters picked without replacement from {a: 4, g: 2}. Give prob of picking 1 a and 1 g.
8/15
What is prob of picking 2 g when two letters picked without replacement from {z: 2, r: 4, f: 1, g: 3, e: 1}?
3/55
Four letters picked without replacement from nlnblnlll. Give prob of picking 1 n and 3 l.
5/21
What is prob of picking 1 r and 2 k when three letters picked without replacement from {r: 1, k: 2, f: 1, l: 1}?
1/10
Three letters picked without replacement from eeeeeeeffee. Give prob of picking 2 e and 1 f.
24/55
Two letters picked without replacement from ewmujmy. Give prob of picking 1 e and 1 w.
1/21
Two letters picked without replacement from {f: 1, o: 2, k: 1, w: 1}. What is prob of picking 1 f and 1 w?
1/10
Three letters picked without replacement from imwwewbemibim. What is prob of picking 1 e and 2 w?
3/143
What is prob of picking 1 v and 1 f when two letters picked without replacement from vffffv?
8/15
What is prob of picking 1 o and 2 k when three letters picked without replacement from kzokjjjjzkkkozjkk?
21/340
Three letters picked without replacement from {f: 17, j: 3}. What is prob of picking 3 f?
34/57
Two letters picked without replacement from {o: 1, z: 19}. What is prob of picking 1 z and 1 o?
1/10
What is prob of picking 3 k when three letters picked without replacement from kkookkookkkkok?
3/13
Three letters picked without replacement from {r: 2, d: 2, c: 8, j: 1}. Give prob of picking 1 d, 1 c, and 1 r.
16/143
Two letters picked without replacement from bewebbejjbbbejeb. Give prob of picking 1 j and 1 e.
1/8
What is prob of picking 1 b and 1 q when two letters picked without replacement from yknqb?
1/10
Three letters picked without replacement from {j: 5, w: 2, u: 9}. What is prob of picking 2 j and 1 w?
1/28
What is prob of picking 1 b and 2 p when three letters picked without replacement from tptrktikrbktpb?
1/182
Calculate prob of picking 1 d and 1 f when two letters picked without replacement from pudppdfffupdu.
3/26
Calculate prob of picking 3 a when three letters picked without replacement from {t: 7, a: 4, m: 1, y: 2}.
1/91
Two letters picked without replacement from jhwwmlnm. Give prob of picking 1 l and 1 n.
1/28
Two letters picked without replacement from {a: 1, y: 1, n: 2, j: 2}. What is prob of picking 2 j?
1/15
Two letters picked without replacement from wdhwwdddmwd. What is prob of picking 1 h and 1 d?
1/11
What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 1, j: 1, p: 1, v: 1, w: 1}?
1/10
What is prob of picking 1 o and 1 p when two letters picked without replacement from {t: 1, o: 1, p: 1, a: 2, s: 2}?
1/21
Four letters picked without replacement from {g: 2, b: 3, e: 2, j: 1, a: 6}. Give prob of picking 1 a, 1 j, and 2 b.
18/1001
Calculate prob of picking 1 v, 1 c, and 1 f when three letters picked without replacement from iicczizzifcvficiif.
1/68
Two letters picked without replacement from {a: 5, t: 2, v: 4, x: 4}. What is prob of picking 2 x?
2/35
What is prob of picking 1 i and 1 u when two letters picked without replacement from {t: 1, i: 1, u: 1}?
1/3
Two letters picked without replacement from {q: 2, t: 4, j: 6}. Give prob of picking 2 j.
5/22
Two letters picked without replacement from xooooxxooooooooo. Give prob of picking 1 o and 1 x.
13/40
What is prob of picking 4 z when four letters picked without replacement from zzppzpppzzzpz?
7/143
Four letters picked without replacement from upnupunpkudpukun. Give prob of picking 1 p, 1 u, and 2 k.
6/455
Three letters picked without replacement from ttltttttttttty. What is prob of picking 1 y, 1 l, and 1 t?
3/91
Three letters picked without replacement from {v: 6}. Give prob of picking 3 v.
1
What is prob of picking 2 z when two letters picked without replacement from {r: 11, z: 4, o: 4}?
2/57
Calculate prob of picking 2 s and 1 j when three letters picked without replacement from qjvavsjsssjmasqsj.
3/34
What is prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, d: 1, t: 1, q: 2}?
1/5
Two letters picked without replacement from {o: 5, a: 2, f: 2, t: 2, n: 5, p: 1}. Give prob of picking 1 t and 1 o.
5/68
Two letters picked without replacement from ttptpxppxxptrupppppt. Give prob of picking 2 x.
3/190
What is prob of picking 2 j and 2 u when four letters picked without replacement from uujjuujuju?
3/7
Three letters picked without replacement from nnwnwnnnnnnnnnnwnnnn. Give prob of picking 3 n.
34/57
What is prob of picking 1 a, 1 t, and 1 w when three letters picked without replacement from awawnwnntwaaj?
8/143
Calculate prob of picking 1 y and 3 j when four | {
"pile_set_name": "DM Mathematics"
} |
u**5. Does 2 divide l(12)?
True
Is 287 + (-7)/(84/(-20))*-3 a multiple of 29?
False
Suppose 2*q - p = 824, -3*q + 0*p - 3*p = -1254. Suppose 4*c - q = c. Suppose 0 = -0*m + 3*m - c. Is m a multiple of 14?
False
Suppose y = 2*g - 1532, -g - 2*y + 892 = 136. Does 5 divide g?
False
Let k(l) be the first derivative of l**5/12 - l**4/8 + l**3/3 - 4*l**2 + 6. Let w(r) be the second derivative of k(r). Is w(-3) a multiple of 19?
False
Suppose 4*p + 4*j + 28 = 0, -4*j - 3 - 1 = p. Is 2 a factor of 1/p + (-10)/32*-26?
True
Suppose -5*a + 0*l = -5*l - 1150, 0 = -5*a - 2*l + 1115. Does 9 divide a?
True
Let b(q) = q**3 - 8*q**2 + 2*q - 11. Let z be b(8). Suppose -44 = -z*g + g. Is 4 a factor of g?
False
Let k(v) = v**3 - 21*v**2 + 22*v - 7. Let g be k(20). Suppose 3*q = 4*q - 3*m - 14, 4*m + 27 = 3*q. Suppose g = -q*w + 288. Is w a multiple of 17?
True
Suppose 0*z + 2*z = 0. Suppose z = b - 132 - 59. Let c = b + -123. Is c a multiple of 19?
False
Let k(j) = -4*j**3 - 9*j**2 - 20*j - 59. Is k(-8) a multiple of 13?
True
Let s = 615 - -400. Is s a multiple of 7?
True
Let z(u) = -u**2 - 7*u - 4. Let j be z(-6). Suppose -4*s + 2 + 0 = -5*d, j*s - 5*d - 6 = 0. Is 14 a factor of (19/s)/(6/(-12))?
False
Let d = -118 + 37. Let m = 21 - d. Does 17 divide m?
True
Let x(d) = -d**3 + 10*d**2 + 3*d - 6. Is 20 a factor of x(8)?
False
Let a be (-272)/(-72) - (-4)/18. Suppose 2*c + a = 5*k, 4*k + c + 2*c + 6 = 0. Let p(j) = -j**2 + 5. Is p(k) a multiple of 5?
True
Let s(f) = -f**3 + 5*f**2 + 3*f - 13. Let v be s(5). Is 5 a factor of v/((-6)/9) + 1 - -22?
True
Let w be (3 + (-3)/3)*1. Let n be (w + 2)*(-14 + 3). Let x = -13 - n. Is 10 a factor of x?
False
Let n(h) = -200*h + 726. Does 12 divide n(-7)?
False
Let v be -3*(5 + -3)/(-2). Suppose -k = v*l + 3 - 10, 0 = -k - 4*l + 5. Suppose -k - 82 = -5*r. Is r a multiple of 19?
True
Suppose 4*s = -5*g - 11 + 53, -2*g - s = -18. Does 4 divide g?
False
Suppose -1 = 3*a + 14, 5*y - 540 = -5*a. Let n = y - 25. Is 45 a factor of n?
False
Let y = 9 + -4. Let f be y/(-25) + (-9)/5. Does 4 divide (1/2)/(f/(-28))?
False
Is 477618/483 - (-1)/7 a multiple of 58?
False
Let z = -225 + 218. Suppose 307 = 5*t + w - 223, -4*t + 4*w = -400. Let d = t + z. Is 14 a factor of d?
True
Suppose 5*p - 15 = -5*i, p = 2*p - 1. Suppose i*j + j = 81. Let y = j - 16. Is 3 a factor of y?
False
Suppose 0 = -29*r + 6002 + 107446. Is r a multiple of 12?
True
Let w = -17 - -18. Is (4/(-4) + 20)*w a multiple of 19?
True
Is 18 a factor of 5 + ((-5488)/(-21) - (-2)/(-6))?
False
Let s(q) = 5*q**2 + 8*q + 5. Let j(f) = -f - 3. Let v be j(-5). Suppose -v = x, 3*t - 4*x = -3*x - 13. Is s(t) a multiple of 31?
False
Let a(y) = 3*y**3 + y**2 - 2*y + 6. Let f(q) = q**3 - q + 1. Let r(l) = -a(l) + 4*f(l). Let v be r(-3). Let h = v - -50. Is h a multiple of 5?
False
Let p(h) = 2*h**2 - 4*h + 18. Does 12 divide p(-9)?
True
Let i(n) = n**2 + 16*n + 6. Suppose -37 = 5*z + 18. Let a be i(z). Does 6 divide 2/7 - 1162/a?
True
Let o(j) = 4*j**2 + 56*j + 22. Does 3 divide o(-19)?
True
Suppose 1295 = 3*u + 3911. Let f = -590 - u. Does 47 divide f?
True
Suppose 0*w - 3*i - 5 = -4*w, -i - 5 = -2*w. Is (-1 - -13) + (w - 6) a multiple of 6?
False
Let u(y) = 5*y**2 + 2*y**3 - 5*y**2 - 4*y**2 + 2*y. Is u(3) a multiple of 6?
True
Suppose 3*v + 592 = 4*w, 740 = -4*w + 9*w + 2*v. Let q = w - 14. Is q a multiple of 15?
False
Let u = 395 + -687. Let g = -208 - u. Suppose -3*j + 0*j = -g. Is 19 a factor of j?
False
Let f = 13 + -9. Suppose -s = -0*s - f. Suppose s*g - 8*g + 48 = 0. Does 4 divide g?
True
Does 7 divide 2*(-269)/(-2) + 3?
False
Let t(w) = 70*w - 70. Is 58 a factor of t(5)?
False
Suppose 2*y - g + 1391 = 4*y, 0 = 5*g - 25. Suppose -2*l - 228 = -u, 3*u - 3*l = -0*l + y. Is 52 a factor of u?
False
Let w = 13 - 8. Suppose -w*j - 5*g + 865 = 0, g - 346 = -2*j - 0*g. Suppose -6*p + j = -127. Is 9 a factor of p?
False
Let a(u) = 9*u**2 + 5 - 3*u - 5 + 2*u. Let n be a(-1). Suppose -2*k = -10, 5*y - 3*y = 2*k + n. Is 3 a factor of y?
False
Suppose 0 = -2*n + 5 + 9. Let w = 50 - n. Is 11 a factor of w?
False
Suppose 0 = 4*s - 9*s + 2*l + 105, -2*l = 5*s - 125. Let f = s - 3. Does 15 divide f/36*3*27?
True
Suppose -78 - 30 = 3*f. Let k(h) = 2*h**2 + 3*h + 9. Let l be k(-6). Let i = l + f. Is i a multiple of 8?
False
Let k(j) = 8*j - 3. Let h be k(3). Let b = -3 - h. Is ((-33)/(-2))/((-9)/b) a multiple of 10?
False
Suppose -4*c - 15 = 3*f - 0, -4*c + 15 = -3*f. Let n(j) = c*j**2 + 3 - j**2 + 5*j + 2*j**2. Does 13 divide n(-7)?
False
Let r = 920 - 446. Is 79 a factor of r?
True
Suppose -4*q + 997 = 3*l + 47, -637 = -2*l + q. Suppose 0 = -5*x - 2*o + l, -317 = -x - 4*x - 3*o. Does 6 divide x?
False
Is 93576/49 - 8/(-28) a multiple of 43?
False
Suppose 12*h + 2525 = 17*h. Does 17 divide 4*(h/20 - 4)?
True
Suppose 926 = -2*a + 7918. Is 33 a factor of a?
False
Let o(j) = j**3 + j**2 + 37. Let x be o(0). Suppose 40*h - 21 = x*h. Is h a multiple of 2?
False
Let y be ((-104)/(-6) - 4)*(-6)/4. Is 11 a factor of (y/(-8))/(2/44)?
True
Let a(p) = p**3 + 3*p**2 - 22*p - 6. Let z be a(-6). Is 19 a factor of (-15575)/(-63) + -2 + 32/z?
True
Suppose 0*k - 3 = -3*k. Let i be k/(-6) + (-31)/(-6). Suppose -i*z + 76 - 1 = 0. Does 5 divide z?
True
Let q = 24 + 138. Does 54 divide q?
True
Is 10*7 - (-28)/7 a multiple of 2?
True
Let h(u) be the second derivative of 3*u**3/2 + 37*u**2/2 + 10*u. Let t(l) = 6*l + 25. Let f(s) = -5*h(s) + 7*t(s). Is 8 a factor of f(-6)?
True
Suppose -5*b + 8*b - 6*b = 0. Suppose 0 = 2*g - b*g - 54. Is 9 a factor of g?
True
Suppose -3*m = -i + 715, 2*i - 3*m - 177 = 1259. Is 7 a factor of i?
True
Let f(i) = -41*i - 1. Let n be f(-3). Let y(d) = 194*d**3 - 2*d**2 + 2*d - 1. Let g be y(1). Let o = g - n. Is o a multiple of 14?
False
Let q = 4003 + -645. Does 46 divide q?
True
Let a(m) = m**2 - 8*m - 77. Is a(21) a multiple of 49?
True
Let h(p) = -3*p - 18. Let a(u) = 2*u + 9. Let j(m) = -7*a(m) - 3*h(m). Let z be j(5). Let v = 64 + z. Does 7 divide v?
False
Let j(y) = 7*y + 14. Let c be j(12). Suppose -5*o - 882 = c. Is 11 a factor of o/(-8) + 2/(-4)?
False
Does 2 divide (-664)/(-16) - (-3)/6?
True
Let l(u) = 6*u**2 - 5*u - 11. Let k be l(-2). Suppose 29*j - k*j = 264. Is j a multiple of 6?
False
Let b(f) = 31*f - 3. Let o be b(-2). Let j = 69 - 170. Let y = o - j. Does 6 divide y?
True
Suppose 9*v - 1985 = 4927. Does 11 divide v?
False
Suppose -1259 - 127 = 6*h. Let g = 452 + h. Is 13 a factor of g?
True
Let k = 12 - 12. Suppose m + 0*m - 7 = k. Suppose 3*u - m - 29 = 0. Is 4 a factor of u?
True
Suppose 0 = 3*h + 6 + 9. Let c(z) = -z**3 - 5*z**2 - 9*z - 7. Let g be c(h). Let s = g - -22. Is s a multiple of 12?
True
Is 57 a factor of (5 + 81/18)*66?
True
Let m = 1 + 2. Suppose -v - 36 - 3 = -m*w, 47 = 4*w - 3*v. Does 5 divide w?
False
Let d(u) = -u**3 - 2*u**2 + 9*u - 4. Let g(i) = -i**3 - 11*i**2 + 3*i + 26. Let l be g(-11). Is d(l) a multiple of 13?
False
Let v be 4/3*21/14. Suppose -v*u + 4*c + 14 = 0, 0*c - 7 = -4*u + c. Is 6 a factor of (u + -2)*1 - -32?
False
Let a be 4/((-3 - -2)*1). Let w = 7 + a. Suppose -2*t + 16 + 18 = 3*v, w*v + 5*t - 49 = 0. Is v a multiple of 2?
True
Let g(f) = 5*f**2 + 65*f + 109. Is g(-22) a multiple of 23?
False
Let n(q) = -q**3 - 2*q**2 + 6*q - 4. Let s be n(-4). Suppose 2*p = -s*p + 144. Is p a multiple of 5?
False
Let y = 538 + 25. Let a = y - 1393. Does 23 divide a/(-9) + 40/(-180)?
True
Let c(a) = 9*a**3 + 3*a**2 - 6*a. Is c(3) a multiple of 21?
True
Suppose -4*s + 2 = -10. Suppose s*n = 15, -n + 13 = -3*w + 182. Is w a multiple of 35?
False
Suppose 5*t = -2 - 58. Is 13 a factor of (152/(-6))/(t/18)?
False
Suppose u = -3*t + 15 + 3, -66 = -3*u - 3*t. Is u a multiple of 4?
True
Let o(p) = p**2 - 12*p + 27. Let n = -11 + 25. Is o(n) a multiple of 11?
True
Suppose -r - r + 220 = 0. Let l(h) = -h + 2. Let j be l(-1). Suppose -j*k + 68 = 2*v, 0*k + 5*k + 5*v = r. Is 12 a factor of k?
True
Suppose -u = b, 4*b - 8*b = 0. Suppose 4*s - 215 - 105 = u. Is 14 a factor of s?
False
Let r(w) = -26*w + 32. Is r(-2) a multiple of 21?
True
Let i be 16/88 - 1446/(-33). Suppose v + i = 3*v. Is 7 a factor of v?
False
Suppose -3*w - 909 = -7*g + 4*g, -4*g - 2*w + 1224 = 0. Suppose g - 17 = 2*f. Is 16 a factor of f?
True
Suppose -8*k + 9*k = 15. Does 14 divide (-2 - | {
"pile_set_name": "DM Mathematics"
} |
Solve -298*h = -295*h + 12 for h.
-4
Solve 30*l + 24 = -156 for l.
-6
Solve 42*k = 39*k - 15 for k.
-5
Solve 0 = -24*h + 17*h + 63 for h.
9
Solve 7 = -39*a + 163 for a.
4
Solve 277*v - 284*v + 28 = 0 for v.
4
Solve -4*y = -6*y for y.
0
Solve -2*x = -28 + 40 for x.
-6
Solve -139*g + 140*g - 6 = 0 for g.
6
Solve -16*h - 306 = 35*h for h.
-6
Solve 67*t + 35 = 60*t for t.
-5
Solve -j + 2*j = 0 for j.
0
Solve 0 = 5*j - 16*j + 6*j for j.
0
Solve 35*v - 37*v - 2 = 0 for v.
-1
Solve 4*s - 26*s = 0 for s.
0
Solve 0*j + 3*j = -0*j for j.
0
Solve 25*m = 84*m + 59 for m.
-1
Solve -138*l + 167*l = 145 for l.
5
Solve -c - 8 = 3*c for c.
-2
Solve -8*i = -4 + 12 for i.
-1
Solve -45 = 617*h - 632*h for h.
3
Solve 48 = 18*a - 6 for a.
3
Solve 0 = 13*v - 4 - 9 for v.
1
Solve -34 = -26*j - 8 for j.
1
Solve 52*c - 42*c = 100 for c.
10
Solve 4*c + 114 = 122 for c.
2
Solve -36*p + 25*p = -22 for p.
2
Solve -77*s - 37 - 40 = 0 for s.
-1
Solve -1045*u = -1052*u for u.
0
Solve -6*p + 2 = -7*p for p.
-2
Solve -4 = 6*x - 10 for x.
1
Solve 4*p + 64 - 76 = 0 for p.
3
Solve -4 = -28*c + 26*c for c.
2
Solve 0 = -2*l + 95 - 87 for l.
4
Solve -68*l = -62*l + 12 for l.
-2
Solve 0 = -139*v - 225 - 53 for v.
-2
Solve -76*m + 18 = -85*m for m.
-2
Solve 0 = -0*g + 5*g + 25 for g.
-5
Solve -159 = -2*v - 151 for v.
4
Solve 26*x - 24*x - 8 = 0 for x.
4
Solve -6*q - 800 = 154*q for q.
-5
Solve -209 = 7*o - 195 for o.
-2
Solve -30*y + 49*y = 38 for y.
2
Solve 71 = 96*x - 217 for x.
3
Solve -8*z + 3*z = 20 for z.
-4
Solve -19*i - 37 = 20 for i.
-3
Solve 12*j - 19*j = 7 for j.
-1
Solve -1517*b + 20 = -1515*b for b.
10
Solve 821*t + 21 = 828*t for t.
3
Solve 24 = -15*s + 3*s for s.
-2
Solve -4 = -4*a - 0 for a.
1
Solve -18 = 9*m - 6*m for m.
-6
Solve -341 = -8*k - 349 for k.
-1
Solve 83 - 8 = -15*t for t.
-5
Solve 25*b = 33*b + 24 for b.
-3
Solve 0 = 2*q - 0*q + 2 for q.
-1
Solve -4*h + 12 - 44 = 0 for h.
-8
Solve 0 = -2*f + 10*f for f.
0
Solve -3*k - 15 = -24 for k.
3
Solve -17 = -8*n + 7 for n.
3
Solve 0 = -9*n + 5*n - 4 for n.
-1
Solve -40*s + 336 = 44*s for s.
4
Solve 12*b = 8*b for b.
0
Solve 88*u = 82*u + 24 for u.
4
Solve 0 = 7*s + 4*s - 11 for s.
1
Solve 0 = 28*y - 23 + 247 for y.
-8
Solve -7 = z - 2 for z.
-5
Solve 0 = 13*t - 9 - 82 for t.
7
Solve -22*z - 26 = 18 for z.
-2
Solve -8*h = -237 + 285 for h.
-6
Solve 23*y + y = 144 for y.
6
Solve -296*j - 32 = -292*j for j.
-8
Solve 6*a + 9 = -27 for a.
-6
Solve -2*h = 14 - 0 for h.
-7
Solve -63*v + 66*v - 12 = 0 for v.
4
Solve -373*n + 32 = -381*n for n.
-4
Solve 5*p = -62 + 22 for p.
-8
Solve 155*d + 620 = 31*d for d.
-5
Solve 35*z + 94 = -116 for z.
-6
Solve 18*h - 3 + 93 = 0 for h.
-5
Solve 0*t - 4*t = 3*t for t.
0
Solve -300 = 16*u + 84*u for u.
-3
Solve -544 = 115*r - 47*r for r.
-8
Solve 3*b + 63 - 57 = 0 for b.
-2
Solve 22*v - 142 = 12 for v.
7
Solve -96 = 59*s - 509 for s.
7
Solve -24*i + 23 + 49 = 0 for i.
3
Solve 16 - 26 = -2*p for p.
5
Solve 39 - 4 = -35*n for n.
-1
Solve 43*q + 15 = 46*q for q.
5
Solve 5*d + 80 = -11*d for d.
-5
Solve 98 = -39*r - 10*r for r.
-2
Solve 18*z + 25*z = 301 for z.
7
Solve 8*m - 25 = 39 for m.
8
Solve -8 = 8*g - 0*g for g.
-1
Solve -8*x = 2 + 6 for x.
-1
Solve -80 = 84*v - 94*v for v.
8
Solve -30*z = -21*z + 18 for z.
-2
Solve -x = 4*x - 25 for x.
5
Solve -12 = -8*l + 4 for l.
2
Solve 5 + 61 = -22*j for j.
-3
Solve -8*g + 158 = 126 for g.
4
Solve -82*v = -77*v + 15 for v.
-3
Solve -3*o - 6 = -o for o.
-3
Solve 8*n - 48 + 16 = 0 for n.
4
Solve -47 = -41*v - 47 for v.
0
Solve 12*v + 132 - 120 = 0 for v.
-1
Solve 22*b - 53 - 13 = 0 for b.
3
Solve -59 = -5*p - 44 for p.
3
Solve -i = 7*i - 32 for i.
4
Solve 10*p + 3*p = -0*p for p.
0
Solve 9*i - 21*i + 48 = 0 for i.
4
Solve 17*r - 16*r - 3 = 0 for r.
3
Solve -295 + 75 = 55*l for l.
-4
Solve -4 = g - 5 for g.
1
Solve 2*g - 7*g - 25 = 0 for g.
-5
Solve 0 = 18*p + 220 - 58 for p.
-9
Solve 0 = 10*n + 3922 - 3872 for n.
-5
Solve 5*f - 32 = -27*f for f.
1
Solve 6*l = 11*l for l.
0
Solve -2*z - 16 = 2*z for z.
-4
Solve 83*s = 79*s - 4 for s.
-1
Solve -4*v + 17 = 41 for v.
-6
Solve -79 = -4*j - 67 for j.
3
Solve 0 = -7*w + 53 - 18 for w.
5
Solve 0*j = -j for j.
0
Solve 15*w + 10 = 13*w for w.
-5
Solve 9*m = 110 - 74 for m.
4
Solve -4*h - h + 10 = 0 for h.
2
Solve 18*l - 46 - 26 = 0 for l.
4
Solve 0 = 114*i + 113 + 1 for i.
-1
Solve -36 = -7*k + 13 for k.
7
Solve 131*q = 128*q - 9 for q.
-3
Solve 3095 = -15*c + 3185 for c.
6
Solve 82 = 8*a + 154 for a.
-9
Solve 0 = 24*j - 39 - 33 for j.
3
Solve -17*j + 11*j = 30 for j.
-5
Solve 12*i + 40 = 20*i for i.
5
Solve -9 = -5*v - 4 for v.
1
Solve 32 = -5*u + 27 for u.
-1
Solve 34*z = -37*z + 17*z for z.
0
Solve 3*w - 27 + 42 = 0 for w.
-5
Solve 632 = -7*r + 590 for r.
-6
Solve -w + 2*w = -3*w for w.
0
Solve 99*x - 101*x = 6 for x.
-3
Solve -83 = 35*g + 22 for g.
-3
Solve 0 = 10*q + 4 + 16 for q.
-2
Solve -11*c = 78 - 34 for c.
-4
Solve -10*r = -53 + 3 for r.
5
Solve 82*i - 271 = 303 for i.
7
Solve -14*l = -2*l - 60 for l.
5
Solve -2*z + 9 = -11*z for z.
-1
Solve 9*c = 4*c for c.
0
Solve 0 = -5*u + 149 - 124 for u.
5
Solve -4 = -3*x + 5 for x.
3
Solve 10 + 46 = -14*b for b.
-4
Solve 56 + 64 = 24*y for y.
5
Solve -27*d = -30*d for d.
0
Solve 0 = -5*a - 13 - 7 for a.
-4
Solve 65 - 41 = -3*i for i.
-8
Solve -9*b = -12*b + 10*b for b.
0
Solve -7*w = -19*w + 6*w for w.
0
Solve 15*r = 14*r + 3 for r.
3
Solve 17*j = 15*j - 8 for j.
-4
Solve -27*f + 18*f - 63 = 0 for f.
-7
Solve -82 + 72 = -2*g for g.
5
Solve -6*s - 201 = -195 for s.
-1
Solve -30 - 15 = -9*g for g.
5
Solve -66*p - 6 = -65*p for p.
-6
Solve -5*o + 12*o + 28 = 0 for o.
-4
Solve 0 = 4*v - 3*v - 4 for v.
4
Solve -26*j + 22*j - 4 = 0 for j.
-1
Solve 0 = 7335*w - 7326*w - 81 for w.
9
Solve 6*x - 5*x = -4 for x.
-4
Solve -18*b + 78 = 240 for b.
-9
Solve -35*p + 5*p = 90 for p.
-3
Solve -561*n + 96 = -577*n for n.
-6
Solve 71 = 21*u - 13 for u.
4
Solve 4 = -17*i - 13 for i.
-1
Solve 13*s = s for s.
0
Solve -2*p - 1 = 1 for p.
-1
Solve 41*s + 84 + 121 = 0 for s.
-5
Solve 2*y = -4*y + 24 for y.
4
Solve -18*t = -20*t - 6 for t.
-3
Solve -106 = 20*z - 186 for z.
4
Solve 53*n = 52*n - 3 for n.
-3
Solve 0 = -3*v + v for v.
0
Solve -3 = -32*z + 157 for z.
5
Solve -u = 302 - 304 for u.
2
Solve 2*n + 2 + 4 = 0 for n.
-3
Solve -9*d = -129 + 66 for d.
7
Solve -4*p + 4 = 4 for p.
0
Solve -33*i + 28 = -19*i for i.
2
Solve -19*r - 120 + 44 = 0 for r.
-4
Solve 42*g = 80*g + 114 for g.
-3
Solve 43 - 21 = -11*x for x.
-2
Solve -6*f - 8 = -10*f for f.
2
Solve 3*s + 6*s = -2*s for s.
0
Solve -35 - 1 = -4*r for r.
9
Solve 54 = 800*j - 794*j for j.
9
Solve 0 = 82*x - 81*x + 3 for x.
-3
Solve 51*g - 29*g - 176 = 0 for g.
8
Solve -6*d + 8 + 4 = 0 for d.
2
Solve 0 = -90*b + 38*b + 52 for b.
1
Solve -26*s + 38*s = 24 for s.
2
Solve -9 = -3*w - 24 for w.
-5
Solve 619 - 685 = -11*u for u.
6
Solve 7*y - 11*y + 16 = 0 for y.
4
Solve 4*o - 8*o + 20 = 0 for o.
5
Solve -7*m = -46 + 53 for m.
-1
Solve 3*y - 1892 = -1895 for y.
-1
Solve -13*u = -54*u + 82 for u.
2
Solve 0 = -10*x + 60 - 10 for x.
5
Solve 0 = -24*r - 27 + 3 for r.
-1
Solve 0 = -74*t + 105*t - 279 for t.
9
Solve -31*a + 34*a = -15 for a.
-5
Solve -19*z + 20 = 1 for z.
1
Solve 11*g = -12 + 56 for g.
4
Solve 58 = -14*n - 40 for n.
-7
Solve 730 = -6*f + 766 for f.
6
Solve 54 = 65*o - 119*o for o.
-1
Solve 16*r + 470 = 63*r for r.
10
Solve -20 = 20*y + 20 for y.
-2
Solve 7*r = 10 - 31 for r.
-3
Solve -6*g - 34 + 64 = 0 for g.
5
Solve 0 = 1476*q - 1466*q - 40 for q.
4
Solve -10*g + 8 = -6*g for g.
2
Solve -461*v = -466*v - 25 for v.
-5
Solve 11*l = -4 - 40 for l.
-4
Solve 1382*z = 1365*z + 136 for z.
8
Solve 7*c + 106 - 64 = 0 for c.
-6
Solve -10*g - 212 = 96*g for g.
-2
Solve 0 = i - 6*i + 10 for i.
2
Solve -8 = 4*c - 0*c for c.
-2
Solve 3*c + 6 = 5*c for c.
3
Solve 85*a = 78*a - 7 for a.
-1
Solve 22 = 6*f + 4 for f.
3
Solve -10 = 30*d + 20 for d.
-1
Solve 2*m + 10*m - 5*m = 0 for m.
0
Solve 3*f - 8 = -f for f.
2
Solve 0 = -17*b + 55*b + 228 for b.
-6
Solve 336 = 71*v - 127*v for v.
-6
Solve 8 - 5 = 3*f for f.
1
Solve -3*s = 27*s - 90 for s.
3
Solve -3*x + 33 = 27 for x.
2
Solve 38*b - 60*b = -31*b for b.
0
Solve 4*i = 16 - 4 for i.
3
Solve 0 = 62*g - 57*g + 20 for g.
-4
Solve -202 + 34 = -42*i for i.
4
Solve -6*z = 19*z for z.
0
Solv | {
"pile_set_name": "DM Mathematics"
} |
nator of -7/300 and -139/247410?
2474100
What is the least common multiple of 7260 and 3751?
225060
Calculate the lowest common multiple of 15744 and 55104.
110208
Calculate the common denominator of 1/2166 and -35/6498.
6498
What is the common denominator of -46/225 and 91/211200?
633600
What is the lowest common multiple of 15906 and 3927?
1892814
What is the common denominator of -13/39710 and 123/55594?
277970
Calculate the lowest common multiple of 11752 and 10283.
82264
Find the common denominator of 35/6981 and -68/33.
76791
What is the lowest common multiple of 43310 and 8662?
43310
Calculate the common denominator of 34/92455 and -3/240383.
1201915
Calculate the common denominator of 101/6 and 117/34258.
102774
Calculate the least common multiple of 1386 and 6678.
73458
Calculate the least common multiple of 811512 and 143208.
2434536
Find the common denominator of 113/8272 and 87/50384.
554224
Find the common denominator of 115/1734 and 121/16184.
48552
Find the common denominator of 121/147876 and 61/36.
443628
Find the common denominator of -41/33804 and 31/40.
338040
What is the common denominator of -187/1092 and 41/9126?
127764
What is the common denominator of 5/178 and 163/96120?
96120
What is the common denominator of 41/8720 and -7/5232?
26160
Calculate the common denominator of 93/1036 and -65/6384.
236208
Calculate the least common multiple of 13889 and 4.
55556
What is the lowest common multiple of 30 and 41799?
417990
Find the common denominator of 18/137 and 47/14730.
2018010
Calculate the lowest common multiple of 31875 and 625.
31875
What is the least common multiple of 12 and 1489586?
8937516
What is the smallest common multiple of 66 and 114585?
2520870
What is the common denominator of -131/107076 and 43/124922?
749532
Calculate the common denominator of -18/7 and -101/95714.
669998
What is the lowest common multiple of 522 and 342?
9918
What is the common denominator of 27/112 and 55/1016?
14224
Calculate the common denominator of -99/21910 and -83/392.
613480
What is the lowest common multiple of 26549 and 6?
159294
Find the common denominator of 11/6517 and 16/92169.
645183
Calculate the least common multiple of 9264 and 3712.
2149248
Calculate the least common multiple of 624 and 936.
1872
What is the common denominator of -8/15 and -51/1433180?
4299540
Calculate the least common multiple of 6265 and 70.
12530
What is the smallest common multiple of 8030 and 504430?
5548730
What is the common denominator of -43/23528 and -21/1198?
14093272
Calculate the common denominator of -97/234 and -38/14469.
86814
Calculate the least common multiple of 104049 and 141.
4890303
Calculate the lowest common multiple of 324954 and 433272.
1299816
Calculate the common denominator of 23/346 and -55/1678.
290294
Calculate the common denominator of 43/12065 and 13/8890.
168910
What is the common denominator of -109/158906 and -45/434?
1112342
Calculate the common denominator of -113/18810 and 137/396.
37620
What is the least common multiple of 306 and 3757?
67626
Find the common denominator of 25/362 and 55/42.
7602
What is the smallest common multiple of 1323 and 3894?
1717254
Calculate the common denominator of -83/44750 and -67/948700.
4743500
Calculate the common denominator of -107/16170 and 113/50820.
355740
Calculate the common denominator of 41/2008774 and -91/8.
8035096
What is the smallest common multiple of 15642 and 126?
109494
Calculate the lowest common multiple of 83030 and 25346.
2407870
What is the common denominator of -45/334 and -21/248?
41416
Find the common denominator of -137/31428 and -64/149283.
597132
Find the common denominator of 97/176022 and 115/462.
176022
Calculate the smallest common multiple of 71738 and 4.
143476
Find the common denominator of 73/72 and -143/1338.
16056
What is the smallest common multiple of 72 and 4616?
41544
Calculate the common denominator of -11/8 and 23/757282.
3029128
What is the lowest common multiple of 640254 and 112986?
1920762
What is the common denominator of -11/1611 and -25/2979?
533241
What is the smallest common multiple of 1538 and 1078?
828982
Calculate the common denominator of 89/6936 and -139/5916.
201144
Find the common denominator of -41/995 and 43/6.
5970
What is the lowest common multiple of 19367 and 1086?
116202
What is the common denominator of 103/370 and 37/12450?
460650
What is the least common multiple of 582 and 29488?
88464
Find the common denominator of -33/2180 and -103/34444.
172220
What is the common denominator of 33/94060 and 53/18812?
94060
What is the least common multiple of 15596 and 490160?
3431120
Calculate the lowest common multiple of 9124 and 2020.
4607620
Find the common denominator of 117/10 and 13/1195080.
1195080
Find the common denominator of -31/74736 and 101/16.
74736
Calculate the common denominator of -113/3534 and 82/465.
17670
What is the lowest common multiple of 18 and 1100?
9900
Calculate the smallest common multiple of 23506 and 137678.
963746
Find the common denominator of -19/542205 and -61/33.
5964255
Calculate the common denominator of -53/334355 and 123/50.
3343550
Find the common denominator of 109/28158 and -17/14079.
28158
Calculate the common denominator of 69/12062 and -31/97963.
7249262
Calculate the least common multiple of 22875 and 38125.
114375
Calculate the smallest common multiple of 341979 and 44.
1367916
What is the lowest common multiple of 928224 and 464112?
928224
Find the common denominator of -103/2297028 and 29/45712.
9188112
What is the lowest common multiple of 3483 and 501?
581661
Calculate the common denominator of 1/49408 and 61/3474.
444672
Calculate the common denominator of -64/89493 and -85/6.
178986
What is the common denominator of 1/5805 and 119/2472?
4783320
Calculate the smallest common multiple of 3660 and 144.
43920
What is the lowest common multiple of 495102 and 742653?
1485306
Calculate the least common multiple of 61760 and 37056.
185280
What is the common denominator of 93/20900 and 109/50?
20900
What is the common denominator of 65/16476 and 117/28?
115332
What is the smallest common multiple of 4956 and 8496?
59472
Calculate the common denominator of -95/2494 and -79/2030.
87290
Calculate the common denominator of -8/85 and 40/707.
60095
Calculate the common denominator of 55/8094374 and 33/16.
64754992
Calculate the least common multiple of 36540 and 1044.
36540
What is the common denominator of -47/6 and 31/187679?
1126074
What is the common denominator of -113/14 and 101/16434?
115038
What is the smallest common multiple of 132411 and 11799?
1191699
Calculate the lowest common multiple of 515504 and 3232.
1031008
Calculate the common denominator of 67/504 and -73/8631.
69048
What is the common denominator of 19/47255 and -17/66157?
330785
What is the common denominator of 31/2 and -79/5122?
5122
Find the common denominator of -11/724 and -149/13032.
13032
What is the lowest common multiple of 10 and 1753258?
8766290
Find the common denominator of -23/2 and 49/368882.
368882
Find the common denominator of -11/33138 and -71/36820.
331380
Calculate the smallest common multiple of 479428 and 32.
3835424
Find the common denominator of -181/1110 and 149/3330.
3330
What is the smallest common multiple of 333 and 59533?
535797
What is the common denominator of 38/1102923 and 89/90?
11029230
Calculate the smallest common multiple of 25 and 12550.
12550
Calculate the least common multiple of 1278 and 426.
1278
Find the common denominator of 27/40964 and -59/190.
204820
Calculate the common denominator of 175/43758 and -19/3861.
131274
Find the common denominator of -107/137544 and -103/54.
1237896
Calculate the lowest common multiple of 6 and 29054.
87162
What is the common denominator of -53/29711 and -11/657?
267399
Calculate the common denominator of -115/17766 and -43/532980.
532980
Find the common denominator of -33/17 and -38/86173.
86173
Calculate the common denominator of -47/4692 and -81/317492.
952476
Calculate the common denominator of 139/23760 and 89/30888.
308880
Find the common denominator of 37/393312 and -103/34704.
1179936
Calculate the least common multiple of 936 and 6396.
38376
Find the common denominator of 25/138 and 89/54.
1242
What is the least c | {
"pile_set_name": "DM Mathematics"
} |
What is the greatest common divisor of 90 and y?
18
Let t(l) = -5*l**3 - l**2 - l - 1. Let z be t(-1). What is the highest common divisor of 36 and z?
4
Suppose -4*a + 4*z + 168 = 0, -46 = -2*a + a + 3*z. What is the highest common factor of a and 8?
8
Let a(b) = 2*b**3 + 3*b - 4. Let t be a(3). Let s = t - -22. Calculate the highest common divisor of s and 9.
9
Let p(o) = -o. Let w(d) = -2*d. Let s(k) = 6*p(k) - 2*w(k). Let v be s(-2). Let q be v/(-14) - (-58)/7. Calculate the highest common factor of 16 and q.
8
Let i = -51 - -100. What is the greatest common factor of i and 539?
49
Suppose -21*p + 13*p = -1672. Let h(j) be the first derivative of j**3/3 - j**2/2 - j - 1. Let a be h(-4). Calculate the greatest common factor of p and a.
19
Let j = 44 + -37. What is the greatest common factor of 224 and j?
7
Suppose s - 4*s + 36 = 0. Calculate the highest common factor of s and 6.
6
Let r be 7 + (1 - 2/(-1)). Suppose r - 76 = -2*l. Let o = 45 + -23. Calculate the highest common factor of o and l.
11
Let b be -2 + 1 + (1 - 0). Let v = -21 - b. Let d be (-384)/v + 4/(-14). What is the highest common divisor of 27 and d?
9
Let h be 9 - 0 - (-7)/((-35)/(-15)). Calculate the highest common divisor of 12 and h.
12
Let c(w) = w - 1. Let k be c(7). Suppose -k + 0 = -s. Suppose 3*q + 5*z - s = 0, 3*q - 36 = 4*z + z. What is the greatest common divisor of 49 and q?
7
Suppose d - 39 = -3*v + 196, 3*d = -15. Calculate the highest common factor of 8 and v.
8
Let s = -33 + 57. Let m be (0 - 324)/(15/(-10)). What is the highest common factor of s and m?
24
Let j(i) = i + 13. Let p be j(-12). Let t(a) = -6*a - 1. Let q be t(2). Let k = p - q. Calculate the highest common factor of 35 and k.
7
Let t be (27 - 1) + 4*-1. Let f be (0 - 1)*-55*1. Calculate the highest common divisor of t and f.
11
Let p(l) = 2*l - 9. Let a be (14/6)/((-2)/(-6)). Let y be p(a). Suppose f = 3*f - 50. What is the highest common factor of y and f?
5
Suppose 3*x - 4*x + 2 = 0. Suppose v = -f - x*f + 9, -5*f = 0. Suppose 3*z + 18 = 5*z. What is the greatest common factor of v and z?
9
Let h(a) be the second derivative of a**5/20 - 5*a**3/6 - a**2 - a. Let m be h(4). Let v = 226 + -205. Calculate the greatest common factor of m and v.
21
Let f = 59 + -51. Let o(a) = a**3 - a + 1. Let t be o(1). What is the highest common divisor of f and t?
1
Suppose -3*l - 2*j + 2 = 0, j = 5*l - 1 - 24. Suppose 3*q - l = 2*q. Let h be ((-8)/(-10))/(q/80). Calculate the greatest common factor of 16 and h.
16
Suppose 5*m = 3*u - 8 + 25, 2*u - 5*m = -18. Let x(f) = 0*f - f + 4 - 2. Let t be x(1). Calculate the greatest common divisor of t and u.
1
Let r be ((-9)/6)/((-3)/(-4)). Let c be -18*2*r/12. Let n = 71 + -17. Calculate the greatest common factor of c and n.
6
Let k be ((-8)/10)/(3/15). Let d be (-2)/k*-2 - -15. Suppose x + 50 = 2*x + 2*r, 0 = 3*x + 4*r - 156. Calculate the greatest common divisor of x and d.
14
Suppose 2*m - 2*h = -160, -136 = 2*m + 4*h - 0*h. Let j be (-2)/8 - m/(-16). Let g = j - -10. What is the highest common divisor of 20 and g?
5
Let w be (-373)/(-5) - (-4)/10. Let y(f) = 2*f + 9. Let c be y(3). What is the highest common factor of c and w?
15
Suppose 3*z = 2*z + 3. Suppose 0 = -z*g + 4*g - 5. Suppose -4*y + 11 + g = 0. Calculate the highest common factor of y and 12.
4
Suppose -4*w = 2*g - 72, -18 = -w + 5*g - g. Let k be 1/4 + 26/(-8). Let y(c) = 2*c**2 + 3*c + 3. Let l be y(k). What is the greatest common factor of l and w?
6
Let r = 4 - -3. Suppose 2*w + 0*w - 14 = 0. What is the highest common divisor of r and w?
7
Suppose 0 = 3*v - 0*v. Suppose v*p + 2*p = 8. Suppose y - p*y = -135. Calculate the greatest common factor of 9 and y.
9
Let y be (-1)/(((-3)/54)/1). Suppose 2*m + y = 6. Let q be -3*(m + -1)/1. What is the highest common factor of q and 3?
3
Let h = 25 + -28. Let o be ((-12)/h)/(-4) - -2. What is the highest common factor of 11 and o?
1
Let c(g) = -g**3 + 3*g - 2. Let r be c(-3). Suppose 0*h = 4*h - r. Calculate the highest common factor of h and 2.
2
Let o be (-194)/(-8) - (-3)/(-12). Suppose -4*y = t - 0*t - 27, 0 = -5*y + 2*t + 24. Calculate the greatest common factor of o and y.
6
Let m = 6 + 4. Let x(z) = -11*z + 1. Let f be x(1). Let r be (-898)/f + (-6)/(-30). What is the highest common factor of r and m?
10
Let p = 17 - 15. Let y be 21 - (p - 2)/(-4). What is the greatest common divisor of 21 and y?
21
Suppose -s + 15 = o, 4*o - 29 = -9. Suppose -12 = -2*m - 2*y - 2*y, -m + s = 4*y. Suppose -24 = -0*q - m*q. Calculate the highest common factor of 132 and q.
12
Let a = -71 + 255. Let o = -124 + a. Calculate the highest common divisor of o and 24.
12
Let g = -4 + 7. Suppose 3*p - 9 = 2*t, -p + 0*t + g = 4*t. Let h be 2 - (-3 + 2 + -21). What is the greatest common divisor of h and p?
3
Let a(d) = -d**2 - 8*d - 8. Let h be a(-6). Suppose -h*b = -30 - 150. What is the highest common divisor of b and 18?
9
Let s = -71 + 167. What is the highest common factor of 12 and s?
12
Suppose 34 = -3*s + 175. Calculate the greatest common factor of s and 329.
47
Suppose -4*h + 5*k = -0 - 5, -k = -4*h + 17. Suppose -h*w = -12 - 18. Suppose g - 264 = -3*g. Calculate the highest common divisor of g and w.
6
Suppose -4*z + 0*z = 0. Suppose -3*r + 5*w = 2*r - 15, z = 2*w - 4. Calculate the highest common factor of 2 and r.
1
Let c = 242 + -74. Calculate the greatest common factor of c and 24.
24
Suppose 0 = -f - 2*x + 10 + 12, 5*x - 91 = -4*f. Calculate the greatest common divisor of 48 and f.
24
Let y(g) = -g**3 + 16*g**2 + 20*g - 25. Let z be y(17). Calculate the highest common divisor of z and 234.
26
Let a = -21 - -102. Let f be (-18 - (1 + -1))*(-22)/44. What is the highest common divisor of a and f?
9
Let r = -33 - -53. Let y = r + -8. Suppose 2*p = 222 - 30. What is the greatest common divisor of y and p?
12
Let z(s) = s**3 + 5*s**2 - 7*s - 6. Let v be z(-6). Let k be -1*(-15 - v/(-3)). Calculate the highest common divisor of k and 60.
15
Let m(j) = 2*j**2 - 7*j - 9. Let p be m(8). Suppose -u = -4*q + 4*u + p, 3*q - 55 = -4*u. Calculate the highest common factor of q and 17.
17
Let x(y) = 23*y**2 - y. Let i be x(1). Suppose 6*t = 4*t + 484. Calculate the greatest common divisor of i and t.
22
Suppose -12*o + 11*o = -2*m + 223, m - 5*o - 89 = 0. Calculate the highest common factor of 171 and m.
57
Suppose -38 = u - 3*u. Calculate the greatest common divisor of 304 and u.
19
Suppose 0 = -3*z - 4 + 1. Let a be (4/(8/(-10)))/z. Calculate the highest common divisor of 35 and a.
5
Let w(f) be the second derivative of -f**4/12 + f**2 - f. Let k be w(2). Let v be (k - 1)/(5/(-180)). What is the highest common divisor of 12 and v?
12
Let s be ((-2)/6)/(2/(-12)). Suppose s = z - 30. Let b = 8 + 8. Calculate the highest common factor of z and b.
16
Suppose -3*v + 356 = -5*k + 938, 5*k + 5*v - 590 = 0. What is the greatest common divisor of k and 13?
13
Suppose -32 = -2*c + 8. Suppose -5*m + 24 = -4*t, m - c = 2*t - 5*t. What is the highest common divisor of 24 and m?
8
Let q(k) = 99*k**3 - 2*k**2 + 2*k - 1. Let s be 3/2 + (-2)/4. Let v(c) = 2*c - 1. Let r be v(s). Let j be q(r). Calculate the highest common factor of j and 14.
14
Suppose 24 = 3*h + d + 10, -4*d - 14 = -2*h. Suppose -l + 0*n = -4*n + 24, -l = h*n - 3. Let k = l - -20. Calculate the greatest common factor of k and 4.
4
Let p = 7 - -1. Suppose -2*d = d - v - 92, -4*d = -3*v - 116. What is the greatest common factor of p and d?
8
Suppose c - 2*c = -19. Let x = 95 + c. Let m = 43 - 24. What is the greatest common factor of m and x?
19
Let y be (58/8)/(3 + 22/(-8)). Calculate the highest common factor of 116 and y.
29
Let f be 3*(-3 + 76/12). Let z be (-150)/4*4/(-3). What is the highest common divisor of f and z?
10
Suppose -4*x - 4*b - 4 = 0, x + 3 + 0 = -3*b. Suppose q - 2 + x = 0. Suppose 6*s - q*s - 264 = 0. Calculate the highest common divisor of 6 and s.
6
Let v be 2 + 7/(0 + 1). Calculate the highest common divisor of 27 and v.
9
Suppose 17*z - 22*z = -50. What is the greatest common factor of z and 110?
10
Suppose -13 = -2*g - 3. Suppose 0 = -i - i - g*n - 3, 2 = -2*n. Let q be i - (0 + -2) - -6. What is the greatest common factor of 81 and q?
9
Let m be 5 + -3 + -1 - -19. Let f = 34 - m. What is the | {
"pile_set_name": "DM Mathematics"
} |
28. Give j(i).
20
Let m(r) be the third derivative of r**4/24 - r**3 + 40*r**2. Calculate m(8).
2
Let r(i) be the first derivative of i**4/4 + 13*i**3/3 - 8*i**2 - 21*i - 1868. Determine r(-14).
7
Suppose 259*m - 291*m + 160 = 0. Let l(u) = -u**3 + 4*u**2 + 2*u + 21. Give l(m).
6
Let f be 4/(-14) + 636/21. Suppose 4*c - f = c. Let u be c/3*(-48)/40. Let h(x) = x**3 + 4*x**2 + x - 4. Give h(u).
-8
Let q(p) be the third derivative of -2*p**5/15 + p**3/6 - 21*p**2 - 15*p. What is q(-2)?
-31
Let h(y) = 9 - 4 - 5 - 4*y. Let g(q) = 6*q - 11*q + q**2 + 22 + 17*q. Let r be g(-10). Calculate h(r).
-8
Let f(j) be the third derivative of j**5/60 + 19*j**4/24 + 16*j**3/3 + 499*j**2 - 4*j. Calculate f(-13).
-46
Let g(o) be the third derivative of -o**6/40 + o**4/24 - o**3/3 - 6*o**2 + 38*o - 3. Determine g(-2).
20
Let w(r) = -r**2 - 16*r + 4. Let a be w(-16). Suppose 3*z - a = -2*l + 5, 0 = l - 3*z - 9. Suppose -56*k - l = -59*k. Let u(h) = h - 1. Calculate u(k).
1
Let r(p) = 17*p**2 - 16*p**2 + 21514 + 14*p - 21508 - p. Determine r(-10).
-24
Let y = -9 + 4. Suppose 12*f - 11*f - 3 = 0. Let b(o) = 24*o**2 - 8*o**2 - 3 + o**f - 11*o**2. Calculate b(y).
-3
Let h = 14 + -8. Let x(i) be the third derivative of -i**6/120 + i**5/10 + i**4/24 - 5*i**3/3 + i**2 - 3790*i - 3. Determine x(h).
-4
Let m(q) = 6*q**2 - 662*q - 3*q**2 - 2 - q**2 + 658*q. Calculate m(5).
28
Let o(l) be the third derivative of -1/24*l**4 + 0 - 158*l**2 - 7/6*l**3 + 0*l. Determine o(-5).
-2
Let f = -308 + 308. Let o(l) = -1 + 10 - 7*l + f*l + l + l**2. Determine o(6).
9
Let c(t) = -8*t**3 + t**2 - t + 1. Let v be 20/6*3*(-5)/(-10). Let w(d) = -d**2 + 8*d - 14. Let y be w(v). Give c(y).
-7
Let x(m) = -m**3 - 16*m**2 - 9*m + 65. Let v be x(-10). Let w = v + 439. Let k(g) = 3*g + 2. Calculate k(w).
-16
Let k be (-50)/20*108/45. Let h(w) = -w**3 - 6*w**2 + 4*w + 6. Determine h(k).
-18
Let c be 4/3*18/2 + 0. Suppose -5*f = f - c. Let p(h) = 6*h**2 + 4 - f*h + 0 - 3 - 2 + h**3. Calculate p(-6).
11
Suppose 5*c - 23 = -0*a + 2*a, 5*a = -20. Suppose 0 = -4*w + 5*v + 2, -c*w - v = 3*v + 14. Let u(z) = -313*z - z**2 + 311*z - z**2 + z**2. Determine u(w).
0
Let s(z) = -38*z**2 + 15*z**2 - 2 + 6*z - z**3 + 17*z**2. Let a(n) = -3*n - 52. Let i be a(-23). Suppose m + i - 10 = 0. Give s(m).
5
Let d = -225 + 230. Suppose 0 = d*x + 52 - 17. Let p(i) = i**3 + 6*i**2 - 10*i - 7. Determine p(x).
14
Let o(d) = 4*d + 19*d + 4*d - 11 - 28*d. Give o(-7).
-4
Let z be 1/(-3) - (-4)/3. Let v be (7/(-252)*-12)/((-2)/(-30)). Let x(u) = 2 - v*u + z + 2 - 1. Calculate x(3).
-11
Suppose -3*j + 2*g + 214 = g, j - 2*g = 68. Let n = j + -64. Let x(t) = 8*t - 5 + 2 - 3*t**2 + 2*t**2 + 0. What is x(n)?
-3
Suppose -4*f - k + 56 = 0, 4*k = -5*f + 3*k + 71. Let j(t) = 7*t - 3. Let s(z) = -6*z + 5. Let n(c) = 5*j(c) + 6*s(c). Calculate n(f).
0
Let h(u) be the first derivative of -u**4/24 + u**3/6 - 20*u**2 + 87. Let w(s) be the second derivative of h(s). Give w(1).
0
Let y(r) = -r**2 + 5*r + 8. Let v be ((-4)/8)/((-1)/(-30)). Let w(s) be the second derivative of s**3/3 + 18*s**2 - 2*s. Let p be w(v). Give y(p).
2
Let d(k) = 65*k + 428. Let h(w) = 8*w + 3. Let x(q) = d(q) - 9*h(q). What is x(57)?
2
Let s = 265 - 265. Let b(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 - 8*z**3/3 + 27*z**2. Determine b(s).
-16
Suppose 21 = 19*p + 2. Let u(r) = p + 327*r - 641*r + 316*r. Give u(-4).
-7
Suppose 127*k = 125*k + 4. Suppose 0 = -4*w - y - 85, -3*w - k*y = 2*y + 67. Let j be (7/w)/((-1)/(-12)) + 5. Let h(l) = 9*l**3 + l**2 - 1. What is h(j)?
9
Let f(q) be the second derivative of 2*q**3 + q + 0 + 1/2*q**2. Let b(t) = -6915*t - 103726. Let u be b(-15). Determine f(u).
-11
Let d(w) = 5*w + 13. Let m be (-2 - 11) + -25 + 32. What is d(m)?
-17
Let b(y) = 2*y - 4. Let h = 13 + -10. Let f be (-966)/(-48) - 1/8. Suppose -g = h*g + f. Determine b(g).
-14
Let l(x) = x**3 - 2*x**2 - 4*x - 5. Suppose 865*d - 860*d = 135. Suppose -c - d = 2*w - 30, 4*w = c + 21. What is l(w)?
11
Suppose 15 = 4*v + c, -3*v = -5*v - 7*c - 25. Let s(n) = 3*n - 22. Give s(v).
-7
Suppose -46*f - 66*f - 448 = 0. Let b(z) = -z**3 + 4*z. Calculate b(f).
48
Let n(z) = z**3 - 101*z + 13. Suppose o + 26 = 3*j, 2*j + 5*o - 3*o = 28. Calculate n(j).
3
Let a(j) = 43*j - 89. Let h(t) = 2*t**2 - 75*t - 520. Let f be h(-6). Give a(f).
-3
Let x(f) = 12*f**3 + 16*f**2 - 113*f - 82. Let q(k) = k**3 - k**2 + k - 7. Let l(a) = -11*q(a) + x(a). Give l(4).
-5
Let h(j) = -j**3 + 5*j**2 + 13. Let f be h(5). Let k(a) = a**3 - 12*a**2 - 13*a + 3. Let m be k(f). Let n(o) = -o + 1 + 3*o - m*o + 0. Calculate n(-2).
3
Let o(s) be the third derivative of s**5/60 - s**4/6 + s**3/3 + 7*s**2 - 48*s. What is o(4)?
2
Let c(p) = -10*p**3 - 277*p**2 + 87*p + 85. Let n be c(-28). Let u(x) = 24*x - 20. Calculate u(n).
4
Suppose -68 = 4*x - 4*f, 18*x + 5*f - 3*f + 266 = 0. Let n(z) = z**3 + 14*z**2 - 16*z - 25. What is n(x)?
-10
Let k(i) = i**2 - 8*i - 11. Let r(o) = -4*o**2 - 64*o - 104. Let q be r(-14). Determine k(q).
-11
Let x = 0 + 5. Suppose x*w = -5*v, 0 = v - 0*v. Let l(f) = f + 6 - 2 - 9 + 8. What is l(w)?
3
Let f(w) = 9*w - 9*w**2 + 20*w**2 - 9 - 10*w**2. Let c be 1/(-3) - 1/((-24)/(-256)). Give f(c).
13
Let n(p) = -p**2 - 22*p + 22. Let c be (0 - 10) + (-56)/((-3192)/(-627)). What is n(c)?
43
Let h(n) = -n - 10. Let u(i) = 1. Let l = -177 + 181. Let y(v) = v**2 - 7*v - 7. Let m be y(8). Let r(s) = l*u(s) + m*h(s). Determine r(-9).
3
Let n(o) be the second derivative of 7*o**3/6 - 6*o**2 - 3*o + 493. Determine n(3).
9
Let p be -566*(36/8 + -5). Let y = -283 + p. Let i(l) = -l + 11. Give i(y).
11
Let o be (108/324)/(1/24). Let p(v) be the second derivative of -v**4/12 + 4*v**3/3 + v**2/2 - 31*v. What is p(o)?
1
Let f = 1/6952 - -3473/20856. Let b(i) be the second derivative of 1/3*i**4 - 1/10*i**5 - 1/2*i**2 - 32*i + 0 + f*i**3. Determine b(3).
-16
Let y = -362 + 364. Let p be 2706/242 - y/11. Let g(h) = -h**2 + 9*h + 16. Give g(p).
-6
Let r(p) be the first derivative of p**4/4 - 11*p**3/3 + 10*p**2 - 14*p - 812. Give r(9).
4
Let c(k) = 5*k**2 - 165*k - 10. Let h be c(33). Let q(t) = -t**2 - 7*t + 12. Calculate q(h).
-18
Let l(r) = -r - 13. Suppose -8*w = 8*w - 4176. Let n = -271 + w. Give l(n).
-3
Let n(w) = -7 - 135*w + 255*w - 121*w. Suppose 0 = -21*u - 219 - 12. Determine n(u).
4
Let s(u) = -3 - 74*u - u**2 + 45*u + 6 + 24. Let d be s(-30). Let o(q) = 4*q**2 - 2*q. Determine o(d).
42
Suppose -p = 4*i - 20, i - 35 = -3*p - p. Let o = 3 - p. Let f(k) = 117571*k + 0 - 1 - 352704*k + 117566*k + 117566*k. Give f(o).
4
Let t = -186 + 350. Let o = -172 + t. Let u(n) = n + 3. What is u(o)?
-5
Let i be 30/35*126/36. Let b(u) be the second derivative of 1/12*u**4 + 0 + 7/6*u**i - u**2 + 2*u. What is b(-5)?
-12
Suppose -10*t = -135 - 225. Let i be (-2)/9 - ((-296)/t + 1). Let u(s) = -2*s**2 + 22*s - 29*s + s**2 + 2*s**2 - 3. Give u(i).
-3
Let b(r) = -5*r - 14. Let t be (-24)/72 + -3 + (-10)/(-3). Determine b(t).
-14
Let m be 194/6*4 - 8/(-12). Suppose 0 = -5*p - 20, -5*z + 562 + m = 2*p. Suppose 0 = z*q - 143*q. Let c(k) = -k**3 + k - 8. Give c(q).
-8
Let k(d) = -1184*d**2 + 38 + 2*d - 7*d + 23*d - 1185*d**2 + 2370*d**2. Give k(-16).
6
Let r(t) = t**3 - 12*t**2 - 46*t + 15. Let k be r(15). Let d(b) = -b**2 - 2*b + 5. Determine d(k).
5
Let z(p) = 8*p. Let a = -604 - -607. Suppose a*b + h = -12, 24 = -2*b - 3*b - 3*h. Give z(b).
-24
Suppose -2*v - 176 = -20*v - 26*v. Let o(t) = -t**3 + 2*t**2 - 2*t + 4. Let z(f) = f**3 - 3*f**2 + 3*f - 4. Let s(a) = 3*o(a) + 4*z(a). Give s(v).
-12
Let y(d) = 2*d - 44. Let q(g) = -7*g - 103. Let i(s) = q(s) - 3*y(s). Calculate i(4).
-23
Let p(a) = -a**3 + 11*a - 4*a + 6*a**2 + 105 - 115. Let v = -93 - -64. Let q = -22 - v. What is p(q)?
-10
Let a(s) = -1 - 9 - 5 + 15 + 9*s - 3. What is a(4)?
33
Let r(h) = -3*h - 1. Let b(o) = -5*o - 4. Suppose -4*g = -5*m + 2, -m + 3*m - 2*g = 2. Let j be b(m). Calculate r(j).
-19
Suppose 43*h = 3690 - 3776. Let k(n) = 10*n + 9. Calculate k(h).
-11
Let f(h) = 10*h**2 + 29*h - 2. Let v = -694 - -689. Let t(w) = -7*w**2 - 20*w + 2. Let o(x) = v*f(x) - 7*t(x). What is o(-3)?
2
Suppose -l = 2*j - 7, 0 = 3*j - 4*l + 21 - 15. Let n(i) = 53*i**2 + 45 - 37 - 52*i**j - 12*i. Determine n(10).
-12
Let x be 12/(-576)*4 - 16370/(-24). Le | {
"pile_set_name": "DM Mathematics"
} |
pose 0 = q - 2*q + 7. Let o = q - 5. Let i(y) = y**3 - y + 2. Let t be i(0). Solve o = t*k - 2 for k.
2
Let z(i) = i**3 - 3*i**2 - 3*i + 2. Suppose -5*b + 9 = -2*b. Suppose -x - x + 12 = 5*y, -y - b*x = 8. Let q be z(y). Solve k + 1 = q for k.
5
Let u(f) = -f**3 - 4*f**2 + 5*f + 4. Let i be (-14)/(-7) - (0 - -7). Let b be u(i). Solve 0*t - 8 = -b*t for t.
2
Let g = -65 - -73. Solve 0 = -0*m + 2*m - g for m.
4
Let w(z) = -z**3 - z**2 + 2*z + 2. Let i be w(-2). Suppose 2*t = -i*t. Suppose 2*n + t = 12. Solve -d = d - n for d.
3
Suppose -20 + 8 = c - 3*y, -3*c - 26 = -4*y. Let i be (c/(-6))/((-1)/(-3)). Solve 6*u + 9 = i*u for u.
-3
Let i be 10/6*(-9 - -12). Solve 8 = -i*b - 2 for b.
-2
Suppose 0 = -5*m - 35 - 15. Let o = 5 - m. Solve -l + o = -4*l for l.
-5
Let s(h) = h**3 + 2*h**2 - 2*h + 3. Let v be s(2). Solve 2*p + p = -v for p.
-5
Suppose -b - 5*o = -0*b - 3, 3*o = 3*b - 9. Solve 0 = -b*x - 0*x for x.
0
Let y = 30 + -22. Solve -y = -3*w + 4 for w.
4
Let y(v) = -v**2 - 4*v. Let i be y(-4). Solve i = j - 0*j - 5 for j.
5
Let t(s) = 3*s**2 + 5*s + 2*s**2 + 3 - s**3 - 4*s. Let h(f) = -f**3 - 9*f**2 - 10*f - 11. Let c be h(-8). Let g be t(c). Solve -g = 6*i - 2*i for i.
-2
Let a = -16 + 18. Solve a*h - 4 = -2*h for h.
1
Let r be -2*(-27)/24*(-16)/(-6). Solve 0 = -11*f + r*f - 15 for f.
-3
Let c(u) = u**3 + 4*u**2 + 3*u + 4. Let h be c(-4). Let p(o) = -o**2 - 9*o - 4. Let g be p(h). Solve 2*t + 2 = -g for t.
-3
Suppose 13 = 3*q - 2. Suppose -30 = q*x - 2*x. Let c be 1/(2/x*-1). Solve c = 3*i + 2 for i.
1
Suppose 5*j - 10 = -3*t + 5*t, -4*t = -4*j + 20. Solve n + n - 8 = j for n.
4
Suppose s + 3*u = 10, -2*s - s = -u - 10. Suppose c = -s*c. Solve 1 = -c*z - z for z.
-1
Suppose 4*m - 2*x = 2, 4*x = -2*m - 0*m + 16. Suppose -30 = -m*w - 12. Suppose -a = 3*y - 0*y - 12, -4*y + a = -w. Solve -y*o + 4*o = 0 for o.
0
Let h = -12 + 27. Suppose -5*l + 10 = -h. Solve -7 - 13 = l*w for w.
-4
Let g be (-6)/33 + (-2)/(-11). Solve g = -0*d - 5*d - 5 for d.
-1
Let n = 21 - 5. Let r = 18 - n. Suppose 3*b - 3 = 3. Solve r*y - 4 = -b for y.
1
Let j be (40/(-32))/(1/16). Let m = j + 20. Solve m = -b - 2 - 1 for b.
-3
Let g(s) = 3*s**3 + 2*s**2 - s. Let x be (-2)/9 + (-22)/(-18). Let p be g(x). Suppose 0 = p*b - 9*b + 10. Solve b - 17 = 5*r for r.
-3
Suppose -2*b + 6 = 20. Let c = b + 13. Suppose 3*k + 45 = c*k. Solve -k = 4*w - 3 for w.
-3
Let g = 5 + -7. Let p be 1/(-2)*8*g. Suppose 0 = -0*h + 4*h - p. Solve -i = h*i for i.
0
Let h(w) = -w - 11. Let i be h(-15). Solve i*u - 2 = 2 for u.
1
Let r be 138/30 + (-4)/(-10). Let c(n) = 2*n - 7. Let y be c(r). Solve 4*k = y - 19 for k.
-4
Let a(f) = 6*f + 6 - f**2 + 2*f - 3*f. Let k be a(6). Solve 2*i + 3*i = k for i.
0
Let g(l) = l**2 + 6*l - 5. Let d be g(-7). Let k = 18 + -14. Let i = k - d. Solve 4*p + 2 = i*p for p.
-1
Let k be 55/33 - 1/(-3). Suppose -3*y + 14 = 5*z, k*z + 14 = 4*z - 3*y. Solve -6*o + 6 = -z*o for o.
3
Suppose -12*d - 27 = -15*d. Solve -5*s - 16 = d for s.
-5
Let o = 14 + -10. Suppose -3*a = -o*a + 3. Solve 0 = -0*u + a*u - 3 for u.
1
Let b = -2 - -14. Solve c = -3*c + b for c.
3
Let b = 21 - 18. Solve 4*s - 19 = -b for s.
4
Suppose 3*p = 4*f - 3 + 20, -2*p + 3*f = -10. Solve -14 = 5*u + p for u.
-5
Suppose 2*r = 26 - 14. Solve r*c = 4*c + 2 for c.
1
Let k(b) = b**2 + 10*b - 5. Let v be k(-6). Let p = 62 + v. Suppose -i = -2*o - 11, -3*i - 3*o + p = -2*o. Solve i - 1 = -5*a for a.
-2
Let k(v) = -v**3 + 2*v**2 + v + 1. Let n be k(2). Let q(o) = 2*o**2 - 4*o - 5. Let c be q(4). Let d be c + n*3/3. Solve 4*r = d + 2 for r.
4
Let x be (-5 + 6)*(18 + -2 + 3). Solve -x = 3*a - 7 for a.
-4
Suppose 0 = -8*u + 4*u + 8. Solve -u*v = v for v.
0
Suppose 3*j = -j + 8. Suppose -j = -t - 1. Solve 0 = -w - t + 6 for w.
5
Suppose -2*a = -0*a - 4*u + 14, -a - u = -8. Suppose -4*d = a*o - 3*d, 0 = 5*o - d - 8. Solve -o = -k + 1 for k.
2
Let j be ((-12)/(-10))/(4/10). Suppose 10 = -j*h + 5*h. Let c be -5*(0 + (-3)/h). Solve -2*a = -c*a - 3 for a.
-3
Let k be (1 - 0/1)*3. Let z = k - 1. Solve -2*h + 0*h - z = 0 for h.
-1
Let i be (56/35)/(4/10). Solve 2*c = 6 + i for c.
5
Let g(f) = 3*f**2 + 7*f - 1. Let d be g(-3). Let a be -8 - (0/(-2) + -1). Let l = a - -12. Solve 0 = l*h - 20 - d for h.
5
Let m(g) = -g**2 + g + 2. Let q be m(0). Solve 10 = 4*v + q for v.
2
Let r = 154 - 150. Solve r*l - l = 0 for l.
0
Let i(g) = g**2 + g - 1. Let t(l) be the second derivative of l**5/20 + l**3/6 - 3*l. Let v be t(1). Let f be i(v). Solve f = w + 2 for w.
3
Let t be 4*(1/2)/1. Suppose a - 24 = -t*f, -2*a + f + 41 = -7. Suppose a = g + 3*g. Solve -b + g = 1 for b.
5
Suppose -2*m + 10 = 3*m. Suppose -m*k - 3 = -3*k. Let l = 26 + -7. Solve -l + 4 = -k*u for u.
5
Let v = 0 - -5. Suppose 0 = -3*y - 18 - 9. Let l be y*1*(1 - 2). Solve -24 = -v*f - l for f.
3
Suppose j - 8*j + 35 = 0. Solve j*r - 28 = -8 for r.
4
Suppose -j = p + 2*j - 4, 0 = -3*p - 2*j + 12. Solve 0 = p*t + 2 + 10 for t.
-3
Let t(p) be the third derivative of p**6/120 - p**5/20 - p**4/12 + p**3/6 - 4*p**2. Let w be t(4). Solve -m + w = -4*m for m.
-3
Let c = -39 + 43. Solve -c*y + 4 = -3*y for y.
4
Let s be -6*(8/(-12))/1. Solve -1 - s = -l for l.
5
Let i = 13 + -7. Solve 0 = d - i*d for d.
0
Suppose 0 = -12*i + 3*i. Solve 5*h - 5 - 5 = i for h.
2
Let b(l) = 2*l + 30. Let t be b(-13). Solve t*v + 0*v = 8 for v.
2
Suppose 8*a + 13 = 69. Solve -2*s - a = 3 for s.
-5
Let h = -14 + 16. Solve -6*r + h*r = 0 for r.
0
Let h = -9 - -9. Suppose -25 = -p - 0*p. Solve -4*w - w + p = h for w.
5
Let k(m) = m**3 - 3*m**2 - 5*m + 3. Let a be k(4). Let t = a - -5. Suppose 2*v - 4*v = 0. Solve o - t = -v*o for o.
4
Let a(c) = -1 - 11*c + c**3 + 6 + 7*c**2 - 5. Let r be a(-8). Solve -4*g + 4 - r = 0 for g.
-5
Suppose -20 = -7*r + 2*r. Suppose 0*x + x - r = -2*l, 4*x = -l + 2. Solve 5*y = -x*y for y.
0
Suppose -3*i = -6*i + 6. Solve 0*q + 4 = -i*q for q.
-2
Let y be 2 + (0 - (-2 + 3)). Let b be (-2 + 1)/(1/1). Let k = y + b. Solve k = -2*q + 5 + 3 for q.
4
Let b = -36 - -14. Let i = b - -27. Solve -15 + 0 = -i*j for j.
3
Suppose 0 = -0*a + 6*a. Suppose 4*w + 3*b - 7 = -0*w, a = -2*w + 5*b + 23. Solve w*x = 13 - 1 for x.
3
Suppose 18 = 2*h - 0*h. Suppose 0*b - h = b. Let k = 3 - b. Solve 3*c + c = -k for c.
-3
Suppose -4*v + 17 = -3. Solve 0 = -v*r + r for r.
0
Suppose -5*u + 13 + 57 = 0. Let s be (-1)/((-2)/22) + 0. Let t = s + u. Solve -3*z = 2*z - t for z.
5
Let k(z) = z**2 - 6*z + 2. Let h be k(6). Suppose h*j - 29 = 21. Suppose 2*b = 3*b - j. Solve 3*t = -2*t + b for t.
5
Let z = 6 + -5. Let u be ((-3 - -1) + -3)*z. Let k be (u/10)/(1/(-4)). Solve 0 = k*f - 7*f + 10 for f.
2
Let l be -1 - -1*1 - -2. Suppose -5*g - 5*s - 10 = -0*g, -s - 10 = -3*g. Suppose 0 = 5*r + 3*u - g - 7, 16 = 4*r - 2*u. Solve l*y = r*y + 3 for y.
-3
Let y be (-2)/(-4) + (-148)/(-8). Let x(b) = 2 - b + y*b**3 + 0*b - 20*b**3 + 2*b**2. Let l be x(2). Solve l = r + 5 for r.
-5
Let s be 0 + 0/2 - -3. Solve s = -z + 4*z for z.
1
Let f(v) be the second derivative of v**4/3 + v**3/6 + v**2/2 + 2*v. Let u be f(-1). Suppose 3*k = 7*k - u. Solve -4 = -3*r - k for r.
1
Let w be 27/(-4) + 3/4. Let v be (4/w)/((-4)/(-72)). Let n = v - -17. Solve 0 = n*b + 5 - 20 for b.
3
Suppose y - g - 1 = -3, 3*y - g + 2 = 0. Suppose y = -k, 3*k + 0*k + 55 = 5*f. Solve -9 = 4*h + f for h.
-5
Let h = 15 - 18. Let y be (-12)/2*1/h. Solve -n - y = n for n.
-1
Let g be 494/117 + 4/(-18). Let v(c) = c**2 + 7*c + 9. Let u be v(-7). Solve g*p - u = 11 for p.
5
Let a = 5 + -5. Suppose 6 = i - a. Solve 2*g = -0*g - i for g.
-3
Let r be (-2)/4 - 2/(-4). Let p(f) = f + 3. Let q be p(-3). Suppose 0 = -4*w + 5*k + 1 - 8, -k = w - 5. Solve x + q - w = r for x.
2
Let i(g) be the first derivative of 1/3*g**3 + 1/4*g**4 + 0*g - g**2 + 2. Let n be i(-2). Solve -2*t + 4 + 0 = n for t.
2
Suppose -3*k + 13 + 8 = 0. Let j = k + -3. Solve j*v = v + 12 for v.
4
Suppose -5*k - 4*w + 58 = 0, 2*w = -3*k + 27 + 7. Solve 0 = 2*s - 4*s + k for s.
5
Let g be ((-8)/4 - -4)/(-2). Let b be 1 + (g + 3 - 0). Solve 3 = 3*d - b for d.
2
Let y(g) = 2*g - 4. Let z be y(-3). Let l be z/(-2) + 0/(-3). Let r(p) = -p + 5. Let d be r(l). Solve -f + d + 1 = 0 for f.
1
Let b(u) = -u**3 + 5*u**2 + 2*u - 6. Let p be b(5). Solve -4*f = p + 12 for f.
-4
Suppose -14 = -2*j - a - 7, a = 3* | {
"pile_set_name": "DM Mathematics"
} |
e 9, what is 1245 + 86057?
87313
In base 8, what is 35 + -6077565?
-6077530
In base 16, what is 0 + -11c50fb?
-11c50fb
In base 12, what is -5 + -84881?
-84886
In base 13, what is -3200582 + 3?
-320057c
In base 7, what is -3045433502 - 3?
-3045433505
In base 14, what is -1da + 33a4?
31a8
In base 3, what is 12102212 - -21220122?
111100111
In base 12, what is -2 + -730382b5?
-730382b7
In base 6, what is -1300251 - -13?
-1300234
In base 11, what is -830 + 27303?
26583
In base 3, what is -10202 - 12100101211000?
-12100101221202
In base 14, what is -2 - -629b92?
629b90
In base 15, what is -b2a07e8 + 5?
-b2a07e3
In base 4, what is 120333013332 + -103?
120333013223
In base 15, what is -6e29168 + -4?
-6e2916c
In base 10, what is -1800 - -180?
-1620
In base 10, what is 33894 + -91?
33803
In base 6, what is -1555 + 135554?
133555
In base 3, what is 121 + 10012002111212001?
10012002111212122
In base 9, what is 5252 + -55162?
-48810
In base 14, what is 2a707 - -8c2?
2b1c9
In base 8, what is -1 - 47413056?
-47413057
In base 12, what is aa5573 + 96?
aa5649
In base 10, what is -140659818 - -4?
-140659814
In base 10, what is 56327344 - 3?
56327341
In base 15, what is 6643a + -4b?
663de
In base 12, what is -2351 - -2052?
-2bb
In base 10, what is -3659153 - -96?
-3659057
In base 2, what is 1 - 1000111101000110011100001?
-1000111101000110011100000
In base 14, what is 8 + -15594b?
-155943
In base 6, what is -14153 + 325122?
310525
In base 2, what is 11100111011 - 100101011101?
-1000100010
In base 2, what is 11100001010100 - 1000100?
11100000010000
In base 7, what is 51 + -26526052?
-26526001
In base 8, what is -11460700 - -1?
-11460677
In base 8, what is -13 - -701264?
701251
In base 7, what is 2212541134 + -1?
2212541133
In base 11, what is 26 + -60a9a53?
-60a9a28
In base 6, what is 5050410 - 201?
5050205
In base 16, what is -276792 - -9?
-276789
In base 10, what is -5430 + -42261?
-47691
In base 12, what is 31112 + 35?
31147
In base 11, what is -1473364 + -4?
-1473368
In base 6, what is -135130 - 111111?
-250241
In base 16, what is -4e9a34 + 0?
-4e9a34
In base 7, what is 14504 - 50113?
-32306
In base 8, what is -1673762 - -12?
-1673750
In base 8, what is 2376511 - -2?
2376513
In base 2, what is 1101100000100111101100001001 + 101?
1101100000100111101100001110
In base 9, what is 103 + -245143?
-245040
In base 15, what is -d - -52238a0?
5223892
In base 9, what is -302507 + -25?
-302533
In base 12, what is 1a483042 + 0?
1a483042
In base 5, what is -24213010 + -4344?
-24222404
In base 2, what is -11 + 10111001001001001001001?
10111001001001001000110
In base 2, what is -10010101001 - 11011100001?
-101110001010
In base 5, what is 103 + -10002123?
-10002020
In base 4, what is -1110202 + 2122?
-1102020
In base 13, what is 8 + -585a21?
-585a16
In base 10, what is 7595 + -1?
7594
In base 9, what is 3136634 - 75?
3136548
In base 5, what is 2134021 - 112434?
2021032
In base 11, what is -48a07 - -110?
-488a7
In base 2, what is 0 - 10111110011100110011?
-10111110011100110011
In base 8, what is -22134 + -112215?
-134351
In base 7, what is 51165 + 43266?
124464
In base 6, what is 10131 - -321325?
331500
In base 9, what is 2 + 25683084?
25683086
In base 7, what is 3213 + 1151454?
1155000
In base 5, what is 112 + 24032041?
24032203
In base 10, what is -189768778 + 4?
-189768774
In base 7, what is 104 - 40212?
-40105
In base 7, what is 0 + -20600406?
-20600406
In base 13, what is 4 - -2280c909?
2280c910
In base 15, what is 10 + -100bd7?
-100bc7
In base 2, what is 1001000010 + -11101011111?
-10100011101
In base 16, what is 118 + 11eb?
1303
In base 7, what is -1626320 - 303?
-1626623
In base 15, what is -4 + -75e6?
-75ea
In base 11, what is 116105a3 - -8?
11610600
In base 15, what is 70508c2 + -4?
70508bd
In base 16, what is -2c3e - -535?
-2709
In base 11, what is -2407029 - -4?
-2407025
In base 3, what is 21111210 + 121010?
22002220
In base 11, what is 136aa + -117a?
12530
In base 11, what is -58823 + 75?
-58759
In base 11, what is 3a + -240509?
-24047a
In base 12, what is 33166 + 1ba6?
35150
In base 6, what is 2315551454 + 2?
2315551500
In base 16, what is -1f1b - 887?
-27a2
In base 8, what is 16 + -5750364?
-5750346
In base 4, what is -1221301102023 - 21?
-1221301102110
In base 2, what is 10001001000111011001010011 - -100?
10001001000111011001010111
In base 16, what is 0 - -298a81e?
298a81e
In base 15, what is 1 + d4ed9?
d4eda
In base 12, what is -172b + -1501?
-3030
In base 12, what is -855903 - -4?
-8558bb
In base 13, what is 1 - -3215a96?
3215a97
In base 8, what is 22456606 + 46?
22456654
In base 8, what is 4147 - 1102604?
-1076435
In base 10, what is 26 - 289842?
-289816
In base 16, what is 1 + 4a11a0f?
4a11a10
In base 2, what is 11001100001000110001 - -10011?
11001100001001000100
In base 15, what is 30b7ba + -5?
30b7b5
In base 6, what is -2211531 + -544?
-2212515
In base 9, what is -62103 - 2234?
-64337
In base 16, what is 226a4 - -28d?
22931
In base 12, what is -4 + -586552?
-586556
In base 16, what is dc9b - 15?
dc86
In base 8, what is -2072 + -131232?
-133324
In base 10, what is 1 - 51235458?
-51235457
In base 7, what is -45 + -33300121?
-33300166
In base 8, what is 604 - 13741100?
-13740274
In base 9, what is -154614 + 145?
-154458
In base 14, what is -ddb + -7d9?
-17d6
In base 4, what is -31 + 12212001301?
12212001210
In base 13, what is -2ccb7c - 483?
-300332
In base 11, what is -15 + -313a3?
-31408
In base 3, what is -1000221100220 + -101?
-1000221101021
In base 8, what is 1202672 - -4?
1202676
In base 14, what is 5d5b + -2ac?
5a8d
In base 10, what is -14544 - -4404?
-10140
In base 2, what is -110100 + -1110101100010011?
-1110101101000111
In base 6, what is -122534202 - 223?
-122534425
In base 5, what is -100442 + -2132103?
-2233100
In base 13, what is 3c + 55772?
557b1
In base 11, what is 89 - 84a4?
-8416
In base 11, what is -1177 + 13661?
12495
In base 13, what is 457342 + -9c?
457273
In base 3, what is -1100 + 10211012111?
10211011011
In base 3, what is 1011200 + 1020221210?
1022010110
In base 11, what is -180 - -3a543?
3a373
In base 9, what is -84475 + 1515?
-82860
In base 12, what is 2508 + 17a1?
40a9
In base 16, what is 995 + 71?
a06
In base 2, what is -10011010110110001111100 - -101?
-10011010110110001110111
In base 4, what is -313 - -230301111?
230300132
In base 8, what is 32 + -264523?
-264471
In base 13, what is -4 - -305a3b9?
305a3b5
In base 16, what is -ad01 - d?
-ad0e
In base 5, what is 1000221420332 - 3?
1000221420324
In base 13, what is 9 + -5cc850?
-5cc844
In base 15, what is c8aeba + 0?
c8aeba
In base 16, what is 6de042 - 5?
6de03d
In base 7, what is 10116261 - 142?
10116116
In base 11, what is -32123a + -1?
-321240
In base 4, what is 110333233 + 2211?
111002110
In base 16, what is -1 - 116fbc?
-116fbd
In base 8, what is -5174 - 471553?
-476747
In base 4, what is -2032000333001 + -2?
-2032000333003
In base 2, what is -1010011001100100011010001001 - -1011?
-1010011001100100011001111110
In base 5, what is -21 - 444043331?
-444043402
In base 6, what is 1 - 4030542544?
-4030542543
In base 14, what is 654429 - -5?
654430
In base 10, what is 92 - 1271387?
-1271295
In base 7, what is 4 - -10342554131?
10342554135
In base 15, what is 3 + 36c9711?
36c9714
In base 12, what is -65732 + -20?
-65752
In base 3, what is 20222012 + -12210021111?
-12112022022
In base 9, what is -141086 - -472?
-140514
In base 2, what is 101001101001011101 + -100111?
101001101000110110
In base 7, what is 2602550 - -323?
2603203
In base 6, what is -101045 + 1450?
-55155
In base 7, what is 1 + -12031401?
-12031400
In base 12, what is -4 + 7463219b?
74632197
In base 16, what is 214c88 - -7?
214c8f
In base 13, what is 5689c28 + -18?
5689c10
In base 7, what is -3 - -1441600544?
1441600541
In base 2, what is -100101 - 1101101100000110011000?
-1101101100000110111101
In base 7, what is -6 - 446351354?
-446351363
In base 9, what is -34762805 + 0?
-34762805
In base 2, what is 1 + -11000100101001111101111?
-11000100101001111101110
In base 6, what is 11025 - 134142?
-123113
In base 13, what is 0 + -10b395?
-10b395
In base 4, what is -112021231 + -122?
-112022013
In base 5, what is 2124310222 - -1?
2124310223
In base 5, what is 3110240 + 110301?
3221041
In base 16, what is -fca95 - -509?
-fc58c | {
"pile_set_name": "DM Mathematics"
} |
rime factors of c?
2, 7
Let a = -6 - -11. Suppose 15 - 5 = 2*z - 4*y, -y + 14 = a*z. Suppose 5*q = z*q + 22. What are the prime factors of q?
11
What are the prime factors of (-1 + 0 - 2) + (45 - -10)?
2, 13
Suppose 2*a = -2*a + 92. List the prime factors of a.
23
Let o = -516 - -744. List the prime factors of o.
2, 3, 19
Let l be (2*-1)/(2/2). Let w be 3*(-1)/(-3) + l. List the prime factors of (-1)/w - -13 - 1.
13
Let h(r) = r**3 + 7*r**2 + 7*r. Let w be h(-5). Suppose 4*q + 3*t - 2 = w, 2*q - 41 = 5*t. List the prime factors of q.
2
Let t(c) = 3*c + 7. Let g(r) = 4*r + 8. Let q(x) = -4*g(x) + 5*t(x). Let h be q(0). Suppose h*p + 1 = 13. List the prime factors of p.
2
What are the prime factors of 261/15 - 6/15?
17
List the prime factors of (-1)/((-1)/23 + 0).
23
Let g(m) = m**2 + 7*m - 4. Suppose -2*v - u = 18, -52 = 5*v - u - 0*u. List the prime factors of g(v).
2, 13
Suppose s = 6*a - a + 54, -4*s - 3*a = -101. List the prime factors of s.
29
Let c(k) = 46*k**2 + 3*k + 11. What are the prime factors of c(-2)?
3, 7
Suppose 2*n - 145 = -3*n. What are the prime factors of n?
29
Let x = -1 - -60. List the prime factors of x.
59
Let g(v) = v**3 - 8*v + 32. What are the prime factors of g(4)?
2
Suppose -h = -3*h + d + 2, -3*d = h - 1. Let o = h - -1. Suppose -t + 5*q = -14, t - o*t + 10 = -q. List the prime factors of t.
3
What are the prime factors of 894/15 - ((-12)/15)/2?
2, 3, 5
Let j = 3 + -2. What are the prime factors of j/2*(2 + 8)?
5
Suppose 5*t - 3*l - 75 = 2*l, 0 = -5*l - 5. What are the prime factors of (12 + -7)/(2/t)?
5, 7
Suppose 8*u - 117 = 5*u. Let s = u + -19. What are the prime factors of s?
2, 5
Let h(j) be the first derivative of j**5/60 - 5*j**4/24 + 7*j**3/6 - j**2/2 - 1. Let b(d) be the second derivative of h(d). What are the prime factors of b(6)?
13
Let f(y) = y**2 + 6*y - 9. Let a be f(-7). Let c(j) = 4*j + j**2 - j**3 - j**3 + 2 + j**2. List the prime factors of c(a).
2, 3
What are the prime factors of ((-51)/6)/(1/(-2))?
17
Suppose -5*m - 5*v - 12 + 212 = 0, 5*m - 3*v = 240. What are the prime factors of m?
3, 5
Let p(m) = 10*m**3 - m. Let k be p(1). Suppose -5*c = 3*v - 15, 4*v + 0*v = 3*c - k. What are the prime factors of c?
3
Suppose -4*r + 1 = 9. Let m be (-54)/(-10) - r/(-5). Let i = 11 - m. What are the prime factors of i?
2, 3
Suppose 4*s - 4*j = 1268, -2*s + 2*j - 4*j + 646 = 0. List the prime factors of s.
2, 5
Let m = -16 - -28. Suppose 3*v + 3*a = 6, -4 - 1 = -2*v - 3*a. Suppose v = y - m. List the prime factors of y.
13
Let n(m) = 2*m - 1. Let s(l) = 1. Let q(b) = b**3 - 8*b**2 + 7*b - 4. Let g be q(7). Let u(v) = g*s(v) - n(v). What are the prime factors of u(-3)?
3
What are the prime factors of 2/(-3) - (-742)/6?
3, 41
Suppose -5*d = -182 - 58. List the prime factors of d.
2, 3
Let r be 2 + (-2 - -1)*0. What are the prime factors of (-40 + 1)/(-3) - r?
11
Suppose 0 = -r - 2*b + 15 + 32, 2*r = -b + 88. Suppose z - r = -2*x, -4*x + 66 = -x + 2*z. What are the prime factors of x?
2, 5
Suppose 0 = -5*o + 45 + 65. What are the prime factors of o?
2, 11
Suppose k - 135 = 2*t + 21, 5*k = t + 798. What are the prime factors of k?
2, 5
Let n(x) = -5*x**3 - 5*x**2 - 6*x - 7. What are the prime factors of n(-3)?
101
Let l(i) = 6*i**2 + 2*i. Let k be l(2). Suppose v - 3*v = -k. List the prime factors of v.
2, 7
Suppose 20 = -3*a - 2*a. Let h be ((-17)/a)/((-1)/4). Let m = -10 - h. List the prime factors of m.
7
Let v(d) be the second derivative of 3*d**5/5 - d**4/12 + d**3/3 - d**2/2 - d. List the prime factors of v(1).
2, 3
Let x = -130 + 226. What are the prime factors of x?
2, 3
Suppose 5*m - 5*c = 285, -3*m - 5*c + 29 = -110. List the prime factors of m.
53
Let d = 58 - 40. Suppose d*z = 14*z + 60. List the prime factors of z.
3, 5
Suppose 5*o - 286 = -2*j + 4*o, j - 5*o - 143 = 0. What are the prime factors of j?
11, 13
Suppose -2*j + 77 = -5*h, -3*j - 2*j = -5. Let y = h + 21. Suppose -24 = -y*t + 2*t. List the prime factors of t.
2, 3
Let w be 3 - (-1 - (1 + -1)). Suppose -k = 4*k, w*c = 5*k + 152. What are the prime factors of c?
2, 19
Suppose -173*k = -172*k - 205. List the prime factors of k.
5, 41
Let v = -53 - -92. List the prime factors of v.
3, 13
Let t(i) = 2*i**3 + 18*i**2 + 15*i + 13. What are the prime factors of t(-7)?
2, 13
Let b(m) = m - 5. Let q be b(7). Suppose q*g + 35 = 7*g. Suppose 3*l - 3*s - g = 5*l, -2 = 2*l + 2*s. What are the prime factors of l?
2
Let v(z) = 3*z**2 - z + 1. Suppose -4 = -o - 3*o. Let y be v(o). Suppose 0 = q + y*p - 18, 0*p = 3*q + 2*p - 19. List the prime factors of q.
3
Let q(y) be the third derivative of y**7/5040 + y**6/48 - y**5/60 - y**2. Let n(o) be the third derivative of q(o). List the prime factors of n(-7).
2
List the prime factors of (148/6)/(((-6)/(-9))/2).
2, 37
Suppose 40*p - 34*p = 804. What are the prime factors of p?
2, 67
Let l = -1 - -27. Suppose k + l = -0*k. What are the prime factors of (k/3)/(2/(-3))?
13
Let g = -48 - -138. List the prime factors of g.
2, 3, 5
Let l be (8/6)/(6/9). Suppose l*f - 18 = 5*x, 0 = 3*f - x + 3*x - 8. List the prime factors of (-6)/f*(-60)/18.
5
Let j(o) = -o - 13. Let t be j(-13). Suppose 0*d - 4*d + 12 = t, 0 = 5*h + d + 37. What are the prime factors of (h/20)/(3/(-135))?
2, 3
Suppose -l + 4*l = 0. Suppose 0 = 3*j - 8*j + 60. Suppose -w + 2*w - 16 = 3*s, 4*s + j = l. List the prime factors of w.
7
Suppose 7*k - 2042 = 982. What are the prime factors of k?
2, 3
What are the prime factors of (1/3*0 - 2) + 174?
2, 43
Let b(y) = y - 2. Let u be b(2). Suppose 5*v + 20 = u, 7*v = -3*x + 2*v - 56. Let c = x + 17. What are the prime factors of c?
5
Let a(j) = j**3 + 5*j**2 - 3*j. Let q be a(-5). Suppose -3*w - 4*t = -q, -t + 0*t + 2 = -w. Suppose -3*b + 5 = -w. List the prime factors of b.
2
Let r(v) = -v**3 - 6*v**2 + 8. List the prime factors of r(-6).
2
Suppose 0*u + 10 = -5*u. Let c be 3/(3/u) + -52. List the prime factors of (-3)/4 - c/8.
2, 3
Suppose 0 = -3*a - 198 + 63. List the prime factors of (2/(-3))/(6/a).
5
Let x = -78 + 133. Suppose p - 13 = -y - y, -4*p - 5*y + x = 0. What are the prime factors of p?
3, 5
Suppose 5*n + b - 2 = 0, 0 = -0*n + 5*n - 4*b - 17. Let s be 1 + 1 - (n + -1). Suppose m - s - 1 = 0. List the prime factors of m.
3
Let n(g) be the third derivative of -2*g**6/3 - g**5/60 + g**4/24 - g**3/6 + 4*g**2. Let a be n(1). List the prime factors of a/(-15) + 2/(-5).
5
Let h(s) = s**2 - 4*s - 11. Suppose -9*i + 6*i + 27 = 0. List the prime factors of h(i).
2, 17
Let z(n) = -4*n - 9. What are the prime factors of z(-13)?
43
Let b be (-10)/(-3) - 1/3. Suppose -15 = -o - b*j, -2*o - 5*j + 21 = -o. What are the prime factors of o?
2, 3
Suppose -4*q + x = 102, -4 - 106 = 4*q - 5*x. Let i be q/(-10)*(3 - 1). Suppose 2*o - 18 = -5*d, -2*o = o - i*d - 27. What are the prime factors of o?
3
Let p(v) = -v**3 + 6*v**2 + 6. Let z be (4/6)/((-5)/(-45)). List the prime factors of p(z).
2, 3
Suppose -4*q = b + 4, 5*q + 2*b = b - 6. List the prime factors of (1 - q)*12/18.
2
Let m(h) = -h**2 - 5*h - 6. Let g be m(-5). List the prime factors of (-170)/(-6) + 2/g.
2, 7
Let u(r) = -4*r - 8. Let h be u(-6). Let z = h + -4. What are the prime factors of z?
2, 3
Suppose -2*c + 40 = -7*c. Let u = 21 + -7. Let k = u + c. What are the prime factors of k?
2, 3
Suppose -5 = -2*i + 51. Let x(a) = -a**3 - 3*a**2 + 3*a + 6. Let q be x(-5). Let m = q - i. What are the prime factors of m?
13
Let c(l) = l**3 + 10*l**2 + 12*l + 3. Let q be c(-8). Suppose -f - 4*f + 5*m + q = 0, f = -5*m + 7. What are the prime factors of f?
7
Let i be (-42)/(-4)*(-28)/(-21). Let d be 9/36 - i/(-8). Suppose 3*t + d = 44. List the prime factors of t.
2, 7
Let o = -34 + 14. Let b = o + 30. What are the prime factors of b?
2, 5
Let t be 6/(-3) - (-24)/(-3). Let m be 2*t/4*-1. List the prime factors of 10*1 - (3 - m).
2, 3
Let m(v) = v**2 + 3*v + 2. Let p = 14 + -7. Let j be (-76)/28 - 2/p. List the prime factors of m(j).
2
Let z = -22 - -37. What are the prime factors of z?
3, 5
Let c(z) = z**3 + 4*z**2 + 2*z - 1. List the prime factors of c(-3).
2
Let u(b) = b**3 + 2*b**2 + b - 2. Let p be u(-2). What are the prime factors of (6/p)/((-9)/24)?
2
Suppose 3*j - 168 = -5*g + 94, -5*g + 356 = 4*j. List the prime factors of j.
2, 47
Suppose 0 = -6*n | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from {x: 1, c: 1, j: 4, o: 1, s: 2}. What is prob of picking 1 x and 1 o?
1/36
Three letters picked without replacement from ibiiiiburiuibibi. Give prob of picking 2 u and 1 r.
1/560
Four letters picked without replacement from {f: 9}. Give prob of picking 4 f.
1
What is prob of picking 1 f and 1 l when two letters picked without replacement from {e: 2, v: 5, a: 1, f: 3, l: 1, i: 1}?
1/26
What is prob of picking 3 y when three letters picked without replacement from {y: 4}?
1
Two letters picked without replacement from {x: 1, e: 7}. What is prob of picking 1 x and 1 e?
1/4
Two letters picked without replacement from wjjwwjjwza. Give prob of picking 1 a and 1 z.
1/45
What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 3, b: 7, n: 2}?
7/22
What is prob of picking 1 a and 1 k when two letters picked without replacement from {d: 4, a: 1, r: 2, z: 1, k: 1}?
1/36
Two letters picked without replacement from {g: 4, y: 1, c: 1, t: 3, p: 2, i: 4}. Give prob of picking 1 c and 1 i.
4/105
Two letters picked without replacement from jxzjrrxjrxzzzx. What is prob of picking 1 z and 1 r?
12/91
Two letters picked without replacement from wccw. What is prob of picking 2 w?
1/6
Calculate prob of picking 2 c when two letters picked without replacement from hlncrtn.
0
Calculate prob of picking 1 l and 1 c when two letters picked without replacement from cwullluulwtcucltl.
9/68
Two letters picked without replacement from trrrrrrprrrrtttptt. What is prob of picking 2 r?
5/17
What is prob of picking 1 x, 1 w, and 2 c when four letters picked without replacement from xcwoxcxwwxowoxxwxxxx?
10/969
Two letters picked without replacement from {a: 2, h: 2}. What is prob of picking 1 a and 1 h?
2/3
What is prob of picking 1 s and 2 g when three letters picked without replacement from ysngrgpnspsgn?
9/286
Three letters picked without replacement from ibnnbiiia. What is prob of picking 2 i and 1 n?
1/7
Calculate prob of picking 1 m, 2 d, and 1 i when four letters picked without replacement from {w: 3, d: 6, i: 2, m: 2, x: 2}.
4/91
What is prob of picking 1 x and 2 i when three letters picked without replacement from {i: 2, x: 1, r: 2}?
1/10
Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hyhyhyyhyy.
3/10
Calculate prob of picking 1 m, 2 v, and 1 p when four letters picked without replacement from mvbbmvbpmvvmhm.
30/1001
Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {e: 2, o: 3}.
2/5
Four letters picked without replacement from {b: 2, q: 3, f: 3, y: 1, w: 1}. What is prob of picking 1 y, 1 f, and 2 q?
3/70
What is prob of picking 1 y and 1 k when two letters picked without replacement from dykvdvkyddvdv?
2/39
Two letters picked without replacement from {p: 2, i: 6, k: 7, x: 1, o: 1}. What is prob of picking 1 o and 1 x?
1/136
What is prob of picking 1 a and 3 u when four letters picked without replacement from {c: 5, g: 1, a: 1, k: 1, u: 3}?
1/330
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from gnggraraqgaggarrng.
14/153
Four letters picked without replacement from {w: 2, f: 2, e: 1, p: 1, i: 2}. What is prob of picking 2 w, 1 f, and 1 e?
1/35
Four letters picked without replacement from {j: 4, h: 8, c: 4}. Give prob of picking 2 j and 2 c.
9/455
What is prob of picking 1 v and 1 o when two letters picked without replacement from {b: 1, v: 6, x: 2, d: 1, o: 2}?
2/11
Three letters picked without replacement from urcjrcp. Give prob of picking 1 p, 1 r, and 1 j.
2/35
Two letters picked without replacement from obcbo. What is prob of picking 1 b and 1 c?
1/5
Three letters picked without replacement from eeweweqhetqe. What is prob of picking 1 t and 2 w?
1/220
Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 9, y: 1, o: 1, f: 8}.
1/19
What is prob of picking 2 r when two letters picked without replacement from {u: 1, r: 3}?
1/2
What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiii?
1
Three letters picked without replacement from {z: 4, u: 1, y: 6}. What is prob of picking 1 z, 1 u, and 1 y?
8/55
Two letters picked without replacement from stuustuuftsttssut. Give prob of picking 1 u and 1 t.
15/68
What is prob of picking 1 v, 1 d, and 1 o when three letters picked without replacement from oggvklkdkgkkgkkk?
1/560
Two letters picked without replacement from {d: 2, q: 6}. Give prob of picking 2 q.
15/28
What is prob of picking 3 p when three letters picked without replacement from {p: 4, o: 15}?
4/969
Four letters picked without replacement from xpcvxcpvvxpxpvvxxxx. Give prob of picking 1 x and 3 p.
8/969
Three letters picked without replacement from {f: 9, s: 1, r: 2, a: 4}. Give prob of picking 2 f and 1 r.
9/70
What is prob of picking 1 c and 3 q when four letters picked without replacement from ckkkqqkkccoqkqqcq?
4/119
Calculate prob of picking 1 d and 3 j when four letters picked without replacement from {j: 3, d: 2, l: 5}.
1/105
Two letters picked without replacement from {t: 2, g: 10}. What is prob of picking 2 g?
15/22
Three letters picked without replacement from pftnnmnn. What is prob of picking 1 p and 2 n?
3/28
Four letters picked without replacement from {i: 8, o: 4, e: 1}. Give prob of picking 1 i, 2 o, and 1 e.
48/715
Calculate prob of picking 2 n when two letters picked without replacement from nnnnaannnn.
28/45
Four letters picked without replacement from {o: 12, v: 2, f: 3, p: 3}. Give prob of picking 1 o, 2 v, and 1 p.
12/1615
Calculate prob of picking 1 x and 2 d when three letters picked without replacement from iiddxxdidndn.
1/11
Four letters picked without replacement from qwwnqyqdnqqnqqnwywnn. Give prob of picking 4 w.
1/4845
Two letters picked without replacement from owwxmwwvwwe. What is prob of picking 1 o and 1 m?
1/55
Two letters picked without replacement from {w: 1, c: 18}. Give prob of picking 1 w and 1 c.
2/19
Four letters picked without replacement from eqrdedbnrrqed. What is prob of picking 1 e, 2 q, and 1 r?
9/715
Four letters picked without replacement from {w: 3, z: 13}. Give prob of picking 2 z and 2 w.
9/70
Two letters picked without replacement from {b: 2, y: 2}. Give prob of picking 2 b.
1/6
Four letters picked without replacement from {w: 1, s: 2, c: 4, p: 1, m: 1}. Give prob of picking 3 c and 1 p.
2/63
Four letters picked without replacement from ywywawfyfyyf. Give prob of picking 3 f and 1 y.
1/99
What is prob of picking 1 h and 1 m when two letters picked without replacement from mmmllwooomwowhmhmxoh?
9/95
Calculate prob of picking 1 r, 2 p, and 1 i when four letters picked without replacement from {c: 5, p: 3, r: 4, i: 7}.
7/323
What is prob of picking 3 h and 1 i when four letters picked without replacement from iihhihi?
4/35
What is prob of picking 1 a and 2 b when three letters picked without replacement from babbbbabbbbbbbbbbb?
5/17
Two letters picked without replacement from {w: 1, m: 1, v: 2, b: 1, d: 2, f: 2}. Give prob of picking 1 f and 1 m.
1/18
Two letters picked without replacement from pppg. Give prob of picking 1 p and 1 g.
1/2
Calculate prob of picking 2 m when two letters picked without replacement from {w: 11, m: 2}.
1/78
What is prob of picking 2 o when two letters picked without replacement from oeooooooooeoo?
55/78
Four letters picked without replacement from {n: 1, c: 2, z: 2}. What is prob of picking 4 c?
0
Calculate prob of picking 1 t and 1 c when two letters picked without replacement from tcattact.
2/7
Three letters picked without replacement from ttttttttxxtxxtttttt. What is prob of picking 1 x and 2 t?
140/323
What is prob of picking 2 x when two letters picked without replacement from {c: 4, x: 2, g: 1}?
1/21
Four letters picked without replacement from kytskktvkkss. Give prob of picking 1 y, 1 t, 1 v, and 1 s.
2/165
Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {t: 2, g: 1, l: 1, a: 2, q: 1}.
1/35
Two letters picked without replacement from wwmdmvm. What is prob of picking 2 w?
1/21
What is prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from szvzfs?
1/10
Calculate prob of picking 2 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*q**2 - 3*q - 3. Let p(v) = -v**3 - v**2 + v. Let y(t) = -p(t) - x(t). Let c be y(-3). Let w = 73 - c. List the prime factors of w.
2, 11
What are the prime factors of 10/(-30)*51*555/(-3)?
5, 17, 37
List the prime factors of (-10)/(-8 - -13) - (-258 - 1).
257
Let n(h) = h**3 - 6*h**2 + 5*h + 3. Let b be n(5). Suppose p = b, 5*z + 3*p - 105 = -2*p. Let g = 64 - z. What are the prime factors of g?
2, 23
Let u be (-7)/(14/(-12)) + -2. Let o be -1 + -7 + u + 7. Let l(i) = 3*i**3 - 2*i**2 + 5*i - 7. What are the prime factors of l(o)?
71
Let i be (-1)/(-5) + 130/(-25). Let m = 7 + i. Suppose 28 = m*b - 10. List the prime factors of b.
19
Suppose -12868 = 15*w - 19*w + 2*g, 4*w + g = 12862. List the prime factors of w.
2, 3, 67
Suppose -5*d + 193 + 397 = 0. Suppose -4*n = 3*j - 215, 2*n - 2*j - d = -0*j. List the prime factors of n.
2, 7
Suppose 3 = -3*f, 4*q - 40 = -2*f + 490. Suppose 3*l - 219 = 54. Let b = q - l. List the prime factors of b.
2, 3, 7
Let o be (-12)/1 + (-21)/(-7). What are the prime factors of (-40)/12*(3 + o)?
2, 5
Let k(b) = -b**2 + b - 1. Let h(a) = 5*a**2 - 11*a + 10. Let v(r) = -h(r) - 6*k(r). What are the prime factors of v(8)?
2, 5
Let c = 580 - 385. What are the prime factors of c?
3, 5, 13
Suppose 399 + 2001 = 6*u. What are the prime factors of u?
2, 5
Suppose -4*b + 0 = -5*u + 36, 2*u - 4 = -b. Suppose 0*p - 55 = -3*a + 5*p, 5*a - 105 = -5*p. Let i = a - b. List the prime factors of i.
2, 3
Suppose -5*m = m - 18. Suppose -3*q - 3 = -m*d, -6*q - 32 = 3*d - 2*q. List the prime factors of 4*(2/(-4) - d).
2, 7
Let z = 34 - 34. Suppose k - 9 = 68. Suppose 0 = 5*r - 4*s - k, r + 2*s + s - 4 = z. List the prime factors of r.
13
Let d(f) = 88*f + 3. Suppose 4*o - 12 = -4*r, -2*r - 1 = 4*o - 9. List the prime factors of d(o).
7, 13
Suppose 3*z - 650 = -2*z - y, 3*y = -5*z + 660. Let m = -23 - 68. Let o = m + z. What are the prime factors of o?
2, 19
Suppose 2*n + 6*q - 4*q = 66, 2*q = -n + 33. Let w = 46 - n. List the prime factors of w.
13
Suppose s = 3 - 0. Suppose 0 = -4*k + 3*k + 4*y - 12, -44 = -s*k - 4*y. What are the prime factors of k?
2
Let q be (-2 - (3 + -10)) + -4. List the prime factors of (335 + q + -8)/((-2)/(-1)).
2, 41
Suppose 3*s = 0, -3*s + 15 = 3*a - 5*s. Let k(u) = 10*u + 12. What are the prime factors of k(a)?
2, 31
Let f(n) = 30*n**2 + 6*n - 5. Let a be f(1). Let b = a - -20. What are the prime factors of b?
3, 17
Suppose -953 = -h - 5*q, 7*q - 11*q + 3748 = 4*h. List the prime factors of h.
3, 311
Suppose -5*x = -3*c - 36, 4*c + 7 + 13 = 2*x. Suppose 0*d = -x*d + 354. What are the prime factors of d?
59
List the prime factors of (14/63 - 5/(-18))*3056.
2, 191
Let y be 12/(-30)*(-1 - 4). Let m(f) = 24*f - 3. Let z be m(2). Suppose 0 = 5*u - y*u - z. List the prime factors of u.
3, 5
Let i(z) = -z**2 + 13*z - 22. Let g be i(11). Suppose g = 4*k + 46 - 322. What are the prime factors of k?
3, 23
Let n(g) = g**3 + 3*g**2 - 2*g - 4. Let q be 4 - 5/5*1. List the prime factors of n(q).
2, 11
Let c(a) = 46*a + 446. What are the prime factors of c(28)?
2, 3, 17
Suppose -23*p - z = -24*p + 3939, -5*z - 11823 = -3*p. List the prime factors of p.
2, 3, 41
Let w(p) = p**2 + 8*p - 3. Suppose 4*x - 3*x + 25 = -4*c, 5*c = -x - 32. Let j be w(c). List the prime factors of (32/(-20))/(2/j).
2
Suppose -3*f - 4*o = -f - 1502, 4*f - 2*o = 3004. What are the prime factors of f?
751
List the prime factors of (14/98)/(2/12894).
3, 307
Let l = -4 - -15. Suppose -2*n - 6 = -2*c, -5*n + 9 = c - 0*n. Suppose -l - 17 = -c*k. List the prime factors of k.
7
Suppose -1344 = -0*r - 3*r. Suppose -j + 9*j - r = 0. What are the prime factors of j?
2, 7
Let t(k) = k**2 + 11*k - 87. List the prime factors of t(-30).
3, 7, 23
Suppose -p = 6 - 10. Let x(g) = g**3 - 4*g**2 + 3*g + 1. Let l be x(3). What are the prime factors of (l - p) + (-88)/(-8)?
2
Suppose 0 = 5*p - a + 2*a + 23, 5*a = -5*p - 15. Let v(i) = 7*i**2 + 1257*i**3 + i - 7 + 3*i - 1256*i**3. List the prime factors of v(p).
23
Let s be (-320)/(-25) - (4 + (-64)/20). Let n be (-1)/(-3) - (-308)/3. Suppose s = 5*f - n. List the prime factors of f.
23
Let w = 835 - -1497. List the prime factors of w.
2, 11, 53
Let k(a) = a**3 - 10*a**2 + 11*a + 3. Let s be k(9). Suppose 11*g = 12*g - s. What are the prime factors of g?
3, 7
Let j(i) = i**3 + 4*i**2 - 14*i - 3. Let m(u) = -u**3 - 3*u**2 + 7*u + 6. Let f be m(-4). What are the prime factors of j(f)?
3
Suppose -3*n = 61 + 29. Let g = -103 - -52. Let z = n - g. List the prime factors of z.
3, 7
Let x be (-6)/(-4) - 6/4. Suppose 3*a - 3*j - 30 = -x*j, 3*a - 4*j = 31. List the prime factors of a.
3
Suppose 259 = -5*g - w, 165 - 16 = -3*g + w. Let n = g + 116. What are the prime factors of n?
5, 13
List the prime factors of (-26)/(-39)*-33*(1 - 47).
2, 11, 23
Let h = 9 + 3. Suppose 2*q + 2 = h. Suppose 0 = -z + 3*l + 50, 2*l + 100 = q*z - 98. What are the prime factors of z?
2, 19
Suppose 0*w - 4*w = -32. Let r(f) = -2*f + 19. Let s be r(w). Suppose 0 = -s*i - 3*x + 108, -3*i - 2*x + 104 = -0*i. What are the prime factors of i?
2
Suppose 16*x - 4618 = -1642. List the prime factors of x.
2, 3, 31
Let p = -10 + 16. Suppose p = 2*k + 2. Suppose 0 = 2*g - y - 85, -91 = -k*g - 4*y - y. What are the prime factors of g?
43
Suppose 5*c + 3313 = 2*o, -5*o + o = 4*c - 6584. What are the prime factors of o?
17, 97
Let t(f) be the first derivative of f**4/8 + f**3/2 + 3*f**2/2 - 3. Let j(a) be the second derivative of t(a). List the prime factors of j(5).
2, 3
Let t be (80/(-30))/(6/(-99)). Let k = 106 - t. List the prime factors of k.
2, 31
List the prime factors of (-60)/(-270) - 10*1257/(-54).
233
Let l = 855 - 343. List the prime factors of l.
2
Suppose 5*u + 17 = 3*y - 40, -3*y = 2*u + 6. Let j = u + 15. Let q(r) = -r + 9. What are the prime factors of q(j)?
3
Let l(y) = -139 + 136 + 4*y**3 + 0*y - 5*y**3 + 3*y. Let j be l(4). What are the prime factors of j/(-10) - (-3)/2?
7
Suppose 0 = -5*m + 2021 + 4324. List the prime factors of m.
3, 47
Let u(i) be the second derivative of -i**5/20 + i**4/2 - i**3/6 - 2*i**2 + 25*i. What are the prime factors of u(2)?
2, 5
Suppose i = 4*i - 48. List the prime factors of 28/8*(-7)/((-49)/i).
2
Let t(f) = -f - 5*f + f**2 + 15*f + 4. Let d be t(-7). List the prime factors of d/(-8)*4 - -2.
7
Let z(r) = -r - 2. Let g be z(-7). Let w = -41 - -74. Suppose u = g + w. List the prime factors of u.
2, 19
Suppose 5*s - 3*m + 6*m = 1719, 5*s = 5*m + 1735. List the prime factors of s.
3, 5, 23
Suppose 4*r = -6 + 2. Let b(p) = -1. Let w(s) = 7*s. Let v(o) = 2*b(o) - w(o). List the prime factors of v(r).
5
Let z(a) = -26*a + 26. Let t be z(-5). Suppose -3*p = -2*p - t. List the prime factors of p.
2, 3, 13
Suppose 3*d - 8*d = k - 2391, -3*d = 2*k - 1436. What are the prime factors of d?
2, 239
Let f be 0/1 + 5/(20/32). Suppose 83 = 5*u - 3*h, 4*h + f = -u + 43. What are the prime factors of u?
19
Suppose 0 = 7*s + 25*s - 146016. List the prime factors of s.
3, 13
Let i(n) = 2*n**3 - 68*n**2 + 13*n + 16. List the prime factors of i(35).
23, 127
Let j(m) = 41*m**3 + 18*m**2 - 28*m - 2. List the prime factors of j(2).
2, 3, 19
List the prime factors of 1485294/897 - (1 + (-30)/26).
2, 3, 23
Let y = 1811 + -866. List the prime factors of y.
3, 5, 7
Let r be 36 + (-1 + 3 - (2 - 2)). Let n = r + -12. List the prime factors of n.
2, 13
Let n = -614 + 419. Let p = 281 + n. What are the prime factors of p?
2, 43
Let g(w) = -2*w - w**3 - 7*w - 4*w**2 + 13*w**2 - 11. Let p be g(8). Let o = 30 + p. List the prime factors of o.
11
Suppose 2*p = -2*y - 3*p - 60, -y = -p + 30. Let c = 28 + y. List the prime factors of 4 - (-15 - (-8)/c).
23
Suppose 16*g - 30008 = 27048. List the prime factors of g.
2, 1783
Suppose 1 + 11 = -4*s. Let b = -1 - s. Suppose -j - 4*j = -f, -f + 3 = -b*j. What are the prime factors of f?
5
Let m(s) = 4*s**3 + 15*s**2 + 6*s + 1. Let z(l) = -5*l**3 - 15*l**2 - 7*l. Let g(a) = -4*m(a) - 3*z(a). What are the prime factors of g(-15)?
41
Let g be 12/((-7)/(14/4)). List the prime factors of (-285)/g - 1/2.
47
Suppose 0 = -4*k - 2*o + 94, 6*k - 5*o - 51 = 3*k. Let j = 36 + k. What are the prime factors of j?
2, 29
Let c be 54/4*(-12)/(-9). Suppose -n - 17 = 2*i, 3*i - 3*n - c = 6*i. Let s = -5 - i. What are the pr | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 2/5 in -4, -1/3, -0.3, 4/5?
4/5
What is the nearest to -3/2 in 0.02, 0.4, 6/19?
0.02
Which is the nearest to 0? (a) -3 (b) -5 (c) -4
a
Which is the nearest to -4? (a) -1 (b) 0 (c) 0.4 (d) 2
a
What is the closest to -11 in -0.4, -0.5, 7, 2?
-0.5
Which is the closest to -90? (a) 28/5 (b) 2 (c) 0.2
c
What is the closest to 1/3 in 4, -7, 3/5, 5?
3/5
Which is the nearest to -0.3? (a) -1/10 (b) 0.06 (c) -3 (d) -0.04
a
What is the nearest to 49 in 0.5, 2, 5, -6/11?
5
What is the closest to -1/3 in 1/313, 4, 2, 1?
1/313
What is the closest to -1 in 2/13, -4, -7, 3?
2/13
Which is the closest to -32? (a) 1/10 (b) -2/13 (c) 4 (d) 0.2
b
What is the closest to 8/7 in 8, -2, -1, 0.5?
0.5
What is the closest to 1 in 28, 0.4, 2/9, -1/3?
0.4
What is the closest to -0.4 in 3/8, -1/5, 0.84?
-1/5
Which is the nearest to -0.2? (a) -4 (b) -0.3 (c) -0.07 (d) -3/2
b
What is the closest to -0.1 in -4, 8, -0.5, -1/11?
-1/11
Which is the closest to 4/11? (a) -2/5 (b) 0.5 (c) 3 (d) -1
b
What is the nearest to 1 in -0.04, -1/2, 2/25?
2/25
What is the closest to -0.1 in -7, 7, -1/7?
-1/7
What is the closest to 3 in 2/3, 3, -2/7?
3
What is the closest to 7/39 in 2, 2/3, 0?
0
What is the nearest to -1 in 4, -0.3, 0.2, 8?
-0.3
Which is the closest to 1? (a) 0.05 (b) -0.3 (c) 1.26 (d) 2/7
c
Which is the closest to 0.2? (a) -1/5 (b) -9.5 (c) 3 (d) 0.2
d
What is the nearest to -2 in -5/2, -11, -5, -3?
-5/2
What is the nearest to 9 in 3, -1/4, 0.1, 2/5?
3
Which is the closest to 39/5? (a) -4 (b) 0.5 (c) 2 (d) -7
c
Which is the nearest to -2.1? (a) 3 (b) 0 (c) 2
b
What is the nearest to -1/10 in 0.3, 2/29, -166?
2/29
Which is the closest to 1? (a) 0.6 (b) 2/3 (c) -5
b
What is the closest to 1 in 6, 0.2, 12?
0.2
Which is the nearest to 0.031? (a) -5/3 (b) 7/5 (c) -2/13
c
Which is the nearest to -1/2? (a) -1/4 (b) -1.8 (c) 5
a
What is the closest to 2 in 38, 1/4, -1?
1/4
Which is the closest to 3? (a) 4 (b) 0.4 (c) 5
a
Which is the closest to 1? (a) 5 (b) -3282 (c) -2
c
What is the closest to 0.2 in 2/27, 0.4, 0.7?
2/27
Which is the nearest to -5? (a) 0.01 (b) -26 (c) 5 (d) -3/4
d
Which is the closest to -1? (a) 0.4 (b) -2 (c) 2 (d) 3/2
b
What is the closest to 0.1 in -2, -14/11, -1.1?
-1.1
What is the nearest to 1 in 2, 3/2, 20, -5?
3/2
What is the nearest to -2/3 in -0.2, 5, 5/6, 2?
-0.2
What is the closest to -2.7 in -7, -5/3, 15?
-5/3
Which is the closest to -4? (a) 1/3 (b) -2 (c) 1/4 (d) -2/3
b
Which is the nearest to 0? (a) 73 (b) 0 (c) 0.1
b
What is the nearest to -1 in -2/5, -40, 0.1, 0.3?
-2/5
What is the nearest to 4 in 0.07, 5, -4, -2?
5
What is the closest to -3/5 in 1/11, 0.2, -1/9?
-1/9
What is the closest to 0 in 5/2, 0.05, 1/5?
0.05
Which is the nearest to 1.4? (a) 7 (b) 0 (c) 6/7
c
What is the closest to -0.078 in 20, -2, -0.2?
-0.2
Which is the closest to -2/7? (a) -2/129 (b) 0.3 (c) 2
a
Which is the nearest to -8/5? (a) -5 (b) -25 (c) 4 (d) 3/5
d
What is the closest to -1 in -0.1, -96, 2?
-0.1
What is the nearest to 0 in -0.4, 1, -0.09, 0.2?
-0.09
Which is the closest to -1? (a) -3 (b) 1/46 (c) -1/4 (d) 0.3
c
Which is the nearest to -4/3? (a) 1 (b) -5 (c) 1/9 (d) -19
c
Which is the closest to 1? (a) 9 (b) -17 (c) -5 (d) -3
d
Which is the closest to 0? (a) -2/879 (b) -0.2 (c) 5
a
What is the closest to -1/3 in 1/6, 115, -25/6?
1/6
Which is the closest to -10? (a) 0.4 (b) 2 (c) 9
a
Which is the closest to -0.1? (a) -0.01 (b) 5 (c) -10 (d) -1
a
Which is the closest to -1? (a) -4/7 (b) -1 (c) 1 (d) -2
b
Which is the nearest to 0.01? (a) -0.1 (b) 1 (c) 6/7 (d) -2/9
a
What is the closest to 2 in -0.1, -26, 4/3, 5?
4/3
Which is the closest to 0.1? (a) -8 (b) -0.14 (c) 0
c
What is the nearest to 0 in 5/6, 1/1401, 2/3, 0?
0
What is the closest to -0.2 in -11/6, -1/3, -0.2?
-0.2
What is the closest to -1 in 5, 0, 54?
0
What is the closest to 0.6 in -0.05, -0.4, 0?
0
Which is the closest to 2/233? (a) -0.1 (b) -0.2 (c) 0.5
a
Which is the closest to -7.5? (a) 5 (b) -1 (c) -4
c
What is the nearest to -2 in -2/3, 1/10, 7, -3/5?
-2/3
Which is the closest to 2? (a) -3 (b) -135 (c) -1/6
c
What is the closest to -1.7 in 5, -1/4, -5, -0.1?
-1/4
Which is the closest to 18? (a) -2/11 (b) -1 (c) -8 (d) -4/9
a
What is the closest to 0 in -1.3, 2, 4, -1?
-1
What is the closest to -1/2 in -2, -2/3, -5, -73?
-2/3
What is the closest to -0.4 in 5/6, -0.2, 2, 3?
-0.2
What is the nearest to 0.4 in -14, -0.2, 2/15?
2/15
What is the closest to 24 in 0.1, 3, 13?
13
What is the closest to 3 in 3/5, -3, 0.3, -1?
3/5
Which is the closest to 0.1? (a) -3 (b) 3 (c) 22 (d) -0.5
d
What is the closest to -1 in 2, 2/13, 4/3?
2/13
What is the nearest to -3/4 in -1.62, 0.1, -2/5?
-2/5
Which is the nearest to -963? (a) 5 (b) 1 (c) 0.5
c
What is the nearest to 103 in -5, 3/4, -2?
3/4
Which is the nearest to -8? (a) -24 (b) 2 (c) -1 (d) -0.1
c
What is the closest to -2/87 in -132, 0.1, -0.1?
-0.1
What is the closest to 0 in -0.5, -2, -4?
-0.5
What is the nearest to -1 in -1/5, -2/5, 3558?
-2/5
What is the closest to 1/3 in 4, 5, -0.5?
-0.5
Which is the closest to 1/85? (a) 5 (b) -0.3 (c) 0.3
c
Which is the nearest to -1? (a) 75 (b) -2 (c) 0.3 (d) -3/7
d
Which is the nearest to -2? (a) 0 (b) 29/5 (c) 0.1
a
Which is the nearest to -45.6? (a) 4 (b) 0.05 (c) 0.5
b
Which is the closest to -5? (a) 1 (b) -4 (c) 6/11 (d) 0.3
b
Which is the nearest to 4/5? (a) 12 (b) 3 (c) 4 (d) -2/5
d
What is the closest to -2/111 in 0.1, -2/9, 2?
0.1
What is the nearest to 1 in -2/13, 394, 1/2, -3/4?
1/2
What is the closest to -1 in 7, 2/5, -49/4?
2/5
Which is the closest to -2/5? (a) -2 (b) 4 (c) -0.3
c
What is the nearest to -1/3 in -11, 1/2, 2, 0.1?
0.1
Which is the nearest to 0.1? (a) 1 (b) -5 (c) 56
a
Which is the nearest to 0.2? (a) -1 (b) -2/7 (c) 12
b
What is the nearest to -1 in 2/11, -1, 30?
-1
What is the closest to -4 in -0.4, 5, 0.3, 8?
-0.4
What is the closest to 2 in 0, -2/35, 24?
0
Which is the closest to -3/14? (a) -0.3 (b) 3/8 (c) 1
a
What is the closest to 2/13 in 1/3, 2, -2/3?
1/3
Which is the closest to -20? (a) -0.1 (b) 5 (c) 0 (d) 167
a
What is the nearest to -6/19 in -0.4, -4, 2/7?
-0.4
What is the closest to -0.146 in -1, 4, 2/17?
2/17
Which is the nearest to 0? (a) -2/11 (b) 0.4 (c) 0.02
c
What is the nearest to 0.04 in 2, -2, -1/5, 0?
0
Which is the nearest to 123/8? (a) 4 (b) -2/27 (c) -2/13
a
What is the closest to 1 in 2, 0.4, -3?
0.4
What is the nearest to -6/25 in 2/43, -1/9, -4?
-1/9
Which is the nearest to 0.3? (a) -0.5 (b) 1/3 (c) -4 (d) -5
b
What is the nearest to 2 in -4/3, -24, 17, 0.1?
0.1
What is the closest to -104 in 4/9, -0.02, 0.4?
-0.02
Which is the closest to 1? (a) -2 (b) 76 (c) -3 (d) -3/5
d
What is the closest to 0.1 in 2/5, 0.2, -3/5, -29?
0.2
Which is the nearest to 0.5? (a) 0.02 (b) -4 (c) -1
a
What is the closest to -3 in 0.5, -2, 5, 0.1?
-2
Which is the closest to 4? (a) -4 (b) 1 (c) -0.06 (d) -2
b
Which is the closest to 2? (a) 0 (b) 2/9 (c) -1
b
What is the nearest to 1.266 in -0.3, -0.1, 2, 1?
1
Which is the closest to 1/3? (a) -0.4 (b) -1 (c) -0.9
a
What is the closest to 0.1 in 0.4, -1/11, 4, 0.9?
-1/11
What is the closest to 1 in 16, -3, 55.9?
-3
What is the nearest to 0 in 0, 3, -8/7?
0
What is the closest to 4 in -2.9, -5, 4?
4
What is the closest to -1 in -5, 2, 2.6, 2/13?
2/13
Which is the closest to 1.2? (a) 3/4 (b) 5 (c) 7 (d) 2/5
a
What is the nearest to -1 in -1, 0, 0.33, -0.3?
-1
Which is the closest to 56? (a) 5 (b) -2/5 (c) 2/11 (d) 0.2
a
Which is the nearest to 0? (a) -0.3 (b) -118 (c) -0.1 (d) 0.2
c
What is the closest to 1 in 36, 15, -2/5?
-2/5
Which is the nearest to -0.14? (a) 2 (b) -2 (c) -4 (d) -1.6
d
Which is the closest to -21? (a) -14 (b) 0.5 (c) 0.3 (d) -3/4
a
What is the nearest to 1/5 in -3/5, 4, 5, -2?
-3/5
What is the closest to -2 in -16, -4, 8?
-4
Which is the closest to -1/3? (a) -1 (b) 437 (c) 1/2
a
What is the closest to 0.1 in 5, -1/3, -5?
-1/3
Which is the nearest to -1/4? (a) -5/2 (b) -2 (c) -3
b
Which is the closest to -2/73? (a) 0.3 (b) -1/4 (c) -1/8 (d) 0.2
c
Which is the closest to 0.06 | {
"pile_set_name": "DM Mathematics"
} |
s 3 divide (p/(-81))/(j/120)?
False
Suppose 3*f - 139 = -2*o + 1309, -3*f = -2*o - 1456. Suppose f = 6*l - 38. Is 14 a factor of l?
False
Suppose -4*c - 12 = 0, 0 = -f - 3*c + 3 + 5. Suppose 5*a = -m - f, -2*m + 6*m - 12 = 0. Let q(y) = -2*y**3 - 3*y**2 + 5*y - 2. Does 8 divide q(a)?
False
Let k(t) = -707*t - 2532. Is 30 a factor of k(-6)?
True
Let n = -74 + 76. Is ((-2)/n - 3) + 6015/15 a multiple of 27?
False
Suppose 42*y - 95428 = 39518. Does 52 divide y?
False
Let q = 76 - 34. Suppose k = -2*a + 328, 330 = 43*k - q*k + a. Does 3 divide k?
False
Let d be (-22)/(-6) + (-5)/3. Suppose -3*x + 2148 = -3*r, -d*x - x + 2134 = 4*r. Is 14 a factor of x?
True
Let l(g) = 3*g - 1. Let n be l(-7). Let q = n - -27. Let v(j) = 10*j - 11. Is 11 a factor of v(q)?
False
Suppose -2*q = 4*z - 15 - 5, -z + 4*q = 4. Let b be (-2 + (0 - 8/z))*-1. Suppose 0 = -b*k, -n = -2*n + 2*k + 103. Is n a multiple of 16?
False
Let o = -47 + 51. Let n(s) = -24 - o*s - 9 - s. Is n(-8) a multiple of 4?
False
Let f = 299 - 754. Let d = f + 915. Suppose -2*p = -4*s + d, -8*p = -4*p. Is s a multiple of 13?
False
Suppose -5*v = v - 162. Suppose -v*i + 11*i = -3408. Is i a multiple of 5?
False
Let v be 9*((-138)/(-45) - (-8)/(-20)). Does 7 divide 505/3 - (-8 + 152/v)?
False
Let o(m) = -m**2 + 27*m - 17. Let i be o(27). Let x(h) = h**3 + 18*h**2 + 15*h + 20. Let z be x(i). Suppose 44*t - 45*t = -z. Does 27 divide t?
True
Is 4 + 121433/8 + (-87)/696 a multiple of 26?
False
Let k = -437 + 221. Let p = 275 + k. Is p a multiple of 3?
False
Let a = -5394 - -16212. Is a a multiple of 52?
False
Does 47 divide ((-5)/(-10))/(46/2549228)?
False
Let b be (112/70)/((-2)/15). Does 15 divide (2 - 52/8)/(b/80)?
True
Let k = -47 + 47. Suppose -r - 3*r - 20 = k, 0 = n - 5*r + 104. Let h = n + 220. Does 13 divide h?
True
Suppose v + 12 = 4*o, -3*v + 0*v = -3*o. Suppose 429 = -o*i + i. Let k = i - -200. Is 7 a factor of k?
False
Let y(g) = -g + 12. Let u(o) = o - 11. Let w = -39 - -33. Let n(k) = w*y(k) - 7*u(k). Is n(0) a multiple of 5?
True
Let k = 344 + -240. Let c(z) = z**2 + 19*z + 55. Let i be c(-17). Suppose 17*a - i*a = -k. Does 19 divide a?
False
Let o = -102 + 86. Let z(j) = -2*j - 20. Let t be z(o). Let s(h) = -h**3 + 14*h**2 - 15*h - 28. Is s(t) a multiple of 8?
True
Let l(m) = -8*m**3 + 8*m**2 + 25*m - 141. Is 5 a factor of l(-7)?
True
Let r = -46 + 51. Suppose -a - 5*g + 420 = 0, 0 = a + 2*a - r*g - 1320. Is a a multiple of 10?
False
Suppose -88*m - 490 = -89*m. Let z = 927 - m. Is z a multiple of 23?
True
Suppose -56*l + 118*l = 81*l - 145920. Is l a multiple of 12?
True
Is 7/14*33486 - (-45)/(-15) a multiple of 13?
False
Let g = -3346 + 11506. Is 68 a factor of g?
True
Let r be (0 + 1)/((80/6264)/(-10)). Is 5 + (4 - (0 + r)) + -6 a multiple of 98?
False
Suppose 0 = 5*k - 2*n + 161, 0 = -5*k + 4*n + n - 155. Let r = k + 147. Is r a multiple of 6?
True
Suppose -20360 = -4*i - 8*j, 11715 = 3*i + j - 3580. Is 170 a factor of i?
True
Suppose 16*p - 9647 = 193. Let u = p + -196. Let c = u + -179. Is 15 a factor of c?
True
Suppose b - 1974 = -h, 0 = -3*h - 2*b + 8541 - 2624. Suppose 0 = 52*m - 41*m - h. Does 8 divide m?
False
Let w(u) = -u**3 + u**2 + 4*u + 2. Let l be w(-1). Suppose -z - 55 + 228 = l. Does 21 divide z?
False
Let k(c) = -c**3 - 35*c**2 - c - 33. Let q be k(-35). Suppose q*b - 5*t - 735 = 0, 3*b - 1077 = -35*t + 34*t. Is b a multiple of 18?
True
Let s = -24 + 32. Suppose s*t = 10*t + 10. Let g(j) = -4*j + 37. Does 25 divide g(t)?
False
Let g = 180 + -257. Let f = 84 + g. Let w = 29 + f. Does 6 divide w?
True
Is (144/20)/(-12)*-6530 a multiple of 3?
True
Is 22 a factor of (5504/48)/((3 + -5)/(-66))?
True
Let h(q) = 171*q - 1378. Is 23 a factor of h(36)?
False
Suppose 16*u - 55309 - 120003 = 0. Does 15 divide u?
False
Let l(a) = -11*a + 124. Let m be l(11). Suppose -4*y - f - 7 = -178, m*f + 89 = 2*y. Does 13 divide y?
False
Let q = 8492 - 4527. Is q a multiple of 13?
True
Suppose 36 - 15 = -3*d. Is (2 + 50/d)/(3/(-399)) a multiple of 9?
True
Let p be 4/48*4*-21. Let b(r) = 24 - 15*r - 4 - 3 - 2 - r**2 - 5. Is 22 a factor of b(p)?
True
Suppose 23*z = 15415 + 12 + 29078. Is 43 a factor of z?
True
Let l(j) = -4*j**2 + 3*j + 4. Let t(o) = o - 1. Let s be t(-1). Let f be l(s). Let p = f - -21. Does 3 divide p?
True
Is 2 a factor of ((-9294)/24)/((-44)/176)?
False
Let w(v) = -v**2 - v + 2. Let f(o) = -6*o**2 - 25*o + 43. Let h(y) = f(y) - 5*w(y). Is 36 a factor of h(-15)?
True
Let v(k) = 12*k**2 + 23*k + 3. Let q be (-7)/2 + 4/8. Does 7 divide v(q)?
True
Let o(a) = a**3 - 6*a**2 - 8*a + 1. Let g(r) = 2*r**3 - 19*r**2 - 25*r + 4. Let b(i) = 3*g(i) - 8*o(i). Let m be -4 - (3 + -2 + 0). Does 25 divide b(m)?
False
Does 14 divide 5493 - -8*2/8?
False
Let x be 2/((-8)/(-24) + (-1)/(-3)). Suppose c - t + 7 - x = 0, 4 = 3*c + 5*t. Is 28 a factor of 4/(-4) + (-58)/c?
True
Suppose -3*h - 70 = -17*h. Suppose 0 = r - 3*k - 408, 2148 - 148 = 5*r - h*k. Is r a multiple of 29?
False
Let w = 514 - 503. Is 21 a factor of ((-16)/3)/(w + (-6239)/567)?
True
Suppose 53012 = 3*u - 4*q, -2*u = -4*q - 21668 - 13664. Is 65 a factor of u?
True
Let s = -10285 + 15847. Suppose -4*h = 114 - s. Is h a multiple of 17?
False
Suppose 9*p - 13*p - 2110 = -x, -5 = p. Is 38 a factor of x?
True
Suppose 24 = -18*u + 22*u. Let z = -3 + u. Suppose 256 + 89 = z*b. Does 23 divide b?
True
Suppose 4015 = s + 5*p - 3350, -4*s + 29574 = p. Is 85 a factor of s?
True
Let v be (-12 - 10)*(-6)/4. Let b be 2/(6/v + 0). Let p = b + 55. Does 22 divide p?
True
Suppose 25 + 14 = 3*l. Let p = 100 - l. Suppose u + p = z, -4*u + 75 = z - u. Does 14 divide z?
True
Suppose 535 = -159*l + 164*l. Does 68 divide 0 + l - (13 + -9)?
False
Let g = 428 + -170. Suppose 5*h = 2*h + g. Does 25 divide h?
False
Suppose -26*k - 15 = -31*k. Let l be 3 + (2 - -1)/k*0. Is 14 a factor of (l + (0 - 1)/1)*76?
False
Let t = 108 + -110. Is 23 a factor of (t/(-3))/(22/17457)?
True
Let c = 2719 + 1215. Does 12 divide c?
False
Let w = -34 + 33. Let q be (-1)/w + (12 - -7). Suppose -q*y + 25*y = 45. Does 7 divide y?
False
Suppose 0 = -4*c, -2*k - 46*c = -45*c - 12400. Does 50 divide k?
True
Let s(o) = 5*o**2 + 5*o + 2. Let t be s(-4). Let b(a) = 72*a - 430. Let k be b(6). Is 2 a factor of 3 - t/(-8) - k/(-8)?
False
Does 24 divide 169 + -185 - 252*-15?
False
Is 18 a factor of 8*(-1676)/80*(-56 - -1)?
False
Let b(j) = 206*j - 3342. Is 36 a factor of b(51)?
True
Let g(r) = 51*r**2 + 2*r + 1. Let q be g(2). Let z = 390 - q. Is 27 a factor of z?
False
Suppose 0 = -5*k + 4*k - 4. Let o be 4/8*79*k. Let h = -4 - o. Is 11 a factor of h?
True
Suppose -8*t - 7 - 9 = 0. Let l be -1 - (t/(-4))/((-14)/28). Suppose 4*c - 8 = l, -2*d + 4*d - c - 58 = 0. Is d a multiple of 8?
False
Let i be (-2620)/(-110) + (-2)/(-11). Let l be i/42 + 54/(-21). Does 5 divide (3 - 7) + 8 - l?
False
Suppose -43*s + 45*s - 14 = 2*r, -s + 5*r = -19. Suppose -c = 2*p - 6*p + 2891, -724 = -p - c. Suppose -s*g + 2*f + 969 = -f, 3*g - p = f. Does 37 divide g?
False
Let h = 1087 + 3326. Is 36 a factor of h?
False
Let n be ((49 + 3)/((-13)/(-26)))/2. Suppose 53*p + 2*s - 563 = n*p, 4 = s. Is p a multiple of 37?
True
Let k be (12/(-5))/3*(-420)/2. Let b = k + -76. Is 23 a factor of b?
True
Suppose 8*p + 7*p - 135 = 0. Suppose -p*u + 1665 = -603. Does 12 divide u?
True
Suppose 19*r - 2484 = 18*r. Does 29 divide (r/8)/((-6)/(-8))?
False
Let m(i) = 27*i - 6. Let z(b) = -27*b + 5. Let a = -40 + 38. Let w(q) = a*m(q) - 3*z(q). Does 35 divide w(3)?
False
Let n = 92 + 64. Let g be ((-20)/50)/(16/(-120)). Suppose a = -g*a + n. Is 13 a factor of a?
True
Suppose 0 = -28*o + 16330 + 2486. Suppose 0 = -5*d + 4*f - 0*f + 40, 3*d = 3*f + 27. Suppose 2 = -z, -o = -d*r + 3*z - 26. Is r a multiple of 7?
False
Is 11 a factor of 35176/5*195/78?
False
Suppose -5*x - 1920 = -0*x. Suppose -c - 2*t - 108 = 453, -2*c + 4*t = 1146. Let v = x - c. Is 16 a factor of v?
False
Does 91 divide 20 - (-40)/(-4) - -809?
True
Let b(h) be the first derivative of 35 + 2/3*h**3 - 4*h - 7/4*h**4 - 5/2*h**2. Is 24 a factor of b(-3)?
False
Let m(s) = -22*s - 35. Let y = -10 + 23. Let n be m(y). Let k = 562 + n. Is 45 a factor of k?
False
Let b(h) = 580*h - 2480. Does 45 divide b(16)?
False
Suppose -55*y = -17*y. Suppose 3*p - 1675 = -4*q, 6*q - | {
"pile_set_name": "DM Mathematics"
} |
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