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Is 13 a factor of 1*-3*(z + -6 + -3)?
True
Suppose 0 = -5*g - 5*v + 85, 4*g = 5*v - 16 + 48. Let f be (3/(-2))/(g/(-3588)). Does 3 divide (-1)/(-5) - f/(-30)?
False
Let x(u) = 3*u**2 + 2*u - 36. Let p(k) = -2*k**2 - k + 24. Let c(f) = 7*p(f) + 5*x(f). Does 4 divide c(-8)?
True
Let g = -61 + 374. Is g a multiple of 5?
False
Let r be 24 + (0 + 3 - 6). Let x be ((-12)/r)/((-4)/14). Suppose x*n + j - 39 = 0, -2*j + 0*j = -3*n + 41. Is n a multiple of 3?
False
Let c = -79 + 144. Let s = c + -40. Is 8 a factor of s + (1 - -2) + 1?
False
Let a be 18/(-10) + 2/(-10). Let z = 34 + -66. Let n = a - z. Is 14 a factor of n?
False
Let a(n) = n**2 - n - 3. Let y be a(-4). Suppose 7 = 2*k - y. Does 4 divide k?
True
Does 12 divide 6433/21 + -1 + (-2)/(-3)?
False
Suppose 0*d = -2*d + 2*s + 12, 6 = -d - 5*s. Suppose -p + 15 = 4*j, 0 = -d*p + 2*p + 2*j. Suppose -p*n + 4*n - 24 = 0. Does 8 divide n?
True
Suppose -2*s = 5*r - 7, 0*s + 2*s - 1 = -3*r. Does 27 divide r/(9/429 - 0)?
False
Let n = -48 - -48. Suppose 4*o + 4 = 6*o. Suppose -o*t = -n - 76. Does 10 divide t?
False
Let z(d) = d**3 + 35*d**2 + 51*d + 67. Does 23 divide z(-33)?
False
Suppose 3 = 3*u - 9. Let i(v) = -v**2 + 5*v. Let d be i(u). Suppose x = 19 - d. Is 15 a factor of x?
True
Suppose 9*i = 16*i - 525. Is i a multiple of 8?
False
Let g = -69 - -37. Is g/(-3) + 6/(-9) a multiple of 6?
False
Let d be 1 - 5 - (9 - 7). Is 14 a factor of (15/d)/(5/(-140))?
True
Let d = -13 + 17. Let n be (-3)/d + 622/8. Let o = n + -52. Is o a multiple of 6?
False
Let j(o) = -o**3 + o**2 - 46. Let m be j(0). Let q be (-1 - m/6)*-9. Does 12 divide (-1 - 0)*q/5?
True
Let i(x) be the first derivative of x**5/8 + 8*x**3/3 - 8. Let c(r) be the third derivative of i(r). Is c(6) a multiple of 21?
False
Suppose 5*a + 2*n - 50 = -n, -2*n = 0. Suppose -4*d - 1920 = -a*d. Does 13 divide d?
False
Suppose 0*u - 5*u + 5*h + 5 = 0, 5*h + 2 = 4*u. Suppose 4*k - 5 = u. Suppose -5*f + 90 = -5*a, -60 = -2*f - k*f + a. Is f a multiple of 3?
False
Let n = 204 + 11. Does 26 divide n?
False
Let t be -3 + (-23)/(-3) + 8/(-12). Suppose -t*z = -2*n + 116, -n = 5*z + 8 - 59. Is n a multiple of 16?
False
Let g = 2511 + -2043. Is 30 a factor of g?
False
Does 9 divide 2/((38/(-18) - -2)/(-3))?
True
Let s = 145 - -23. Is s a multiple of 28?
True
Let i(a) = -4*a - 18. Let p be i(-7). Let g be (12/(-8))/((-1)/p). Is g - (5 + 3 + -6) a multiple of 2?
False
Is 10 a factor of 2*2/((-8)/(-362))?
False
Let u = -15 + 19. Suppose 184 = 4*v - 4*o, -u*v = o - 2*o - 190. Is 6 a factor of (v/28)/((-4)/(-42))?
True
Suppose -14*t = -4*t - 20. Suppose 0*l = t*l + 3*h - 146, -2*l + 5*h + 146 = 0. Is 14 a factor of l?
False
Let v be 0/(1 - 0) + 3. Let y be (-6 + -2)/(-2 - -1). Suppose 0 = -g - s + 1 + y, v*s = 0. Does 9 divide g?
True
Let p be 34/10 - 3*6/45. Does 6 divide ((p - 3) + 33)/1?
False
Suppose 3*s - 13 = 17. Is (-738)/(-8) - s/40 a multiple of 23?
True
Let h(p) = 27*p**2 - 34*p + 236. Does 74 divide h(6)?
False
Let n(c) = 9*c**2 + 123*c + 42. Is 58 a factor of n(-28)?
True
Let n(s) be the second derivative of s**5/20 + 5*s**4/6 - 7*s**3/6 - 3*s**2/2 - 4*s. Does 15 divide n(-10)?
False
Is 615 + (30/(-9) - 17/(-51)) a multiple of 8?
False
Suppose -5*v = -5*s - 105, 3*s = 2*s. Suppose -v = 6*z - 51. Suppose 4*j - 6*b = -4*b + 86, z*j - 112 = 4*b. Is 20 a factor of j?
True
Suppose 2*q - 4*s = 60, 2*q - 40 = -3*s + 2*s. Suppose -q*m + 6*m = -3808. Is 32 a factor of m?
False
Suppose -5*d = 5*q, 5*q = -4*d - 0 - 2. Suppose 32 = 2*c - d. Is c a multiple of 13?
False
Suppose -m + 24 = 4*g, m - 6 + 27 = 5*g. Suppose 5*x - 221 = -m*b + 5*b, b = -3*x + 139. Is 9 a factor of x?
True
Let s be ((-21)/(-12) - 1)/((-5)/(-320)). Suppose 4*k - 2 - 6 = 0. Does 14 divide 1 - (-1 - s) - k?
False
Let g = 667 - 386. Is g a multiple of 14?
False
Suppose -205 - 213 = -11*h. Does 9 divide h?
False
Let a(o) = -7*o - 17. Let p be a(-7). Let m = 31 + 76. Suppose 2*j = -w + p, -2*j = -3*w + 3*j + m. Is w a multiple of 7?
False
Suppose 5*f = -z + 11607, -4*f = -0*f - 5*z - 9274. Is f a multiple of 18?
False
Suppose -4*m - 11 = -3*q, -4*q + 4*m = 1 - 21. Let u be (-2)/(-3) - 7/(-3). Let r = q - u. Is 4 a factor of r?
False
Suppose 4*d - 24 = 364. Let u = -62 + d. Is u a multiple of 7?
True
Let f(v) = -v**2 + 7*v - 3. Let a be f(6). Let t(s) = s**3 + s**2 - 4*s + 1 - s + s. Is 13 a factor of t(a)?
False
Suppose 7 = 4*v - 109. Let b = 190 - v. Is 15 a factor of b?
False
Suppose 0 = 7*o - o - 18. Suppose 2*g + 3*g + 5 = 4*u, 30 = 5*g + o*u. Suppose 77 = 5*q + 3*i, 5*q - g*i + 0*i - 83 = 0. Does 12 divide q?
False
Let y be (-1 + 0/1)*-3. Let n(f) = 3 + 2*f - 7*f**y + f**2 + f**2 - 2. Is n(-1) a multiple of 8?
True
Is 2 a factor of (9/(-18))/((-4)/224)?
True
Let x = -6 + 11. Is 9 a factor of (-3)/x + (12306/(-30))/(-7)?
False
Let u = -628 + 1069. Is 21 a factor of u?
True
Suppose -d = 2*o + 3*d - 40, -62 = -3*o - 4*d. Is o even?
True
Suppose -7*h = 2*h - 162. Let v = 1 - 1. Is 8 a factor of (v - -1) + 4 + h?
False
Is 3329/4 + (477/(-36) - -13) a multiple of 26?
True
Let w be ((-6)/18)/((-1)/6). Let p = w + -6. Let o(i) = -4*i + 5. Is o(p) a multiple of 9?
False
Suppose -5*q - 4*x + 3*x = -4732, 2*q - 5*x = 1882. Does 43 divide q?
True
Suppose 10*g - 50 = 8*g. Is 4 + (3 - 2) + g a multiple of 5?
True
Let v = 4153 - 1807. Is v a multiple of 22?
False
Suppose 0 = 5*s - s. Suppose -5*a + 0*a - 20 = s. Let i = 20 - a. Is 19 a factor of i?
False
Let c(q) be the first derivative of q**3/3 - q**2/2 + 51*q + 3. Let o = -2 + 2. Is 15 a factor of c(o)?
False
Suppose -15*f - 9*f + 2376 = 0. Is f a multiple of 11?
True
Suppose -2*d - 56 + 248 = 0. Does 6 divide d?
True
Let o(t) = -4*t - 4. Let m be o(-2). Suppose -m*b = b - 210. Is 21 a factor of b?
True
Suppose 13 - 167 = -7*c. Suppose 20*v - c*v = -28. Is 7 a factor of v?
True
Let m = 6 + -11. Let u = m + 10. Let l(n) = n**2 - n + 9. Is 26 a factor of l(u)?
False
Let h = 34 + 32. Let a = -23 + h. Let y = -31 + a. Is 4 a factor of y?
True
Let a(d) = -d + 2*d**2 + 2*d**2 - 21*d**3 - 4*d**2. Does 11 divide a(-1)?
True
Suppose 2*j = -j + 1350. Suppose 6*s - j = 4*s. Is s a multiple of 45?
True
Let o = -143 - -146. Suppose -5*h + 7*h - 39 = o*n, 0 = -3*h + 4*n + 56. Is h a multiple of 6?
True
Let l(u) = 11*u + 37. Is l(3) a multiple of 2?
True
Let t = -238 - -623. Does 23 divide t?
False
Let s(b) = 8*b**2 - 4*b**2 + 3*b - 5*b**2 + 12. Let r = -18 - -18. Does 6 divide s(r)?
True
Let n(j) = j + 48. Suppose 0 = g + 4*c - 41, c + 42 = 2*g - c. Is 5 a factor of n(g)?
False
Let s be (-1 - 2)*8/(-6). Suppose 0*d + 120 = s*d. Is d a multiple of 5?
True
Suppose 3*y = 229 + 29. Let b = -147 + y. Let z = -13 - b. Is 16 a factor of z?
True
Let i be (24/(-9))/((-4)/12). Suppose -5*x = -x - i. Suppose 124 = 4*c - 5*s, -3*c + 30 = -x*c - s. Is c a multiple of 6?
False
Suppose 0 = 2*q - 5*s - 7 - 9, 4*q - 32 = s. Let h = q - 6. Suppose h*m - 92 = -2*z, -4*z - 267 - 8 = -5*m. Is 17 a factor of m?
True
Suppose 23 = 5*z - 17. Suppose 392 = -r + z*r. Is 28 a factor of r?
True
Suppose 0 = 5*b + 283 + 277. Let q = -32 + 33. Is (-2)/(q - (-116)/b) a multiple of 28?
True
Suppose -177 = -135*a + 132*a. Does 59 divide a?
True
Suppose -3*g = 3*g - 24. Let b(z) = z - 1. Let u be b(g). Suppose u*j - 24 = -3*j. Does 2 divide j?
True
Let d = 131 - -144. Does 39 divide d?
False
Suppose -3*p = a - 28, 4*p = 3*p - 5*a + 28. Suppose -9*o + p*o + 182 = 0. Is 8 a factor of o?
False
Let t(d) be the first derivative of -d**3/3 + 7*d**2 + 11*d + 2. Does 17 divide t(10)?
True
Let d(c) = c**3 + 16*c**2 - c - 2. Suppose 1 = 3*s + 10. Let o be (3 + -6)/(s/(-16)). Is d(o) a multiple of 4?
False
Let r(b) = 221 - 10*b + 3*b - 15*b - 238. Does 34 divide r(-4)?
False
Let t(u) = u**2 + 6*u + 1. Let o be t(-7). Suppose 0 = -5*m - 0*m + 135. Let f = o + m. Is 11 a factor of f?
False
Let u = 15 - 12. Suppose -4*y + u*p = -471, -5*y = 2*p - 4*p - 594. Suppose 0 = -5*l, 0 = 4*a + 2*l + 2*l - y. Does 10 divide a?
True
Let u(k) = 221*k**2 + k + 1. Let r be u(1). Let j = 371 - r. Is j a multiple of 24?
False
Let r be (1 + -4)*(-10)/(-6). Is (-4 - 45/r) + 3 a multiple of 8?
True
Suppose -2*w = -5*w + 18. Suppose -5*d = a - 2, -3*d = 5*a - w*d - 10. Suppose a*q - 48 = 24. Does 9 divide q?
True
Let u(v) = -v**2 + | {
"pile_set_name": "DM Mathematics"
} |
e of 61*l*n**3 + 2*l + 3*n**3 + 227*n wrt n.
366*l*n + 18*n
What is the derivative of -2829*h**2*y**3 + 1063*h**2 wrt y?
-8487*h**2*y**2
Find the third derivative of -478*s**5 - s**2 + 81 wrt s.
-28680*s**2
Find the second derivative of 3*o**3 - 5*o**2 - 2*o - 2.
18*o - 10
Find the second derivative of -3*x**2 - 2*x - 490 wrt x.
-6
Find the third derivative of 544*f**4 + 2*f**2 - 612.
13056*f
What is the third derivative of -27*u**2*y**3 + 14*u**2*y**2 - 5*u*y**4 + 2*u*y**2 wrt y?
-162*u**2 - 120*u*y
What is the second derivative of 3068*c**2*n + 271*c + 7*n wrt c?
6136*n
What is the second derivative of 1249*d*z**4 - d*z - d + 2*z**4 - 6*z + 144 wrt z?
14988*d*z**2 + 24*z**2
Find the second derivative of -34*h**2*m*p**2 - h**2*m*p - 2*h - 2*m*p**2 - m*p + m wrt p.
-68*h**2*m - 4*m
Find the third derivative of 141*a**5 + a**3 + 726*a**2.
8460*a**2 + 6
Find the third derivative of -290*a**4*q - 3*a**4 - 12*a**2*q - 37*q wrt a.
-6960*a*q - 72*a
What is the second derivative of -2*u**2*y + 56*u**2 + 646*u*y - y wrt u?
-4*y + 112
Find the first derivative of -5*j**2*n - 273*j**2 + n + 371 wrt j.
-10*j*n - 546*j
What is the second derivative of -1013*c**3*y + 2*c**3 - 4*c*y - 27*y + 6 wrt c?
-6078*c*y + 12*c
Find the third derivative of -968*m**3*s**3 - 29097*m**2*s**3 wrt m.
-5808*s**3
Differentiate -178*k**3 - 3*k - 1435.
-534*k**2 - 3
What is the first derivative of -31*b - 364?
-31
Find the third derivative of 36*i**6 + 3*i**5*r + 147*i**2*r - 2*i*r + 2*r wrt i.
4320*i**3 + 180*i**2*r
What is the second derivative of -8475*p**2*y**2 + 22*p**2*y - 8*p*y - 13*p - 2*y**2 wrt y?
-16950*p**2 - 4
Find the third derivative of -93*m**4 - 15*m**3 - 70*m**2 + 39*m - 2 wrt m.
-2232*m - 90
What is the derivative of a**2*c*z**2 + a**2*c*z - 176*a**2*z - 3*c*z**2 + 3*c*z - 67*c wrt a?
2*a*c*z**2 + 2*a*c*z - 352*a*z
What is the first derivative of 3*j**2*n*p - 21*j*n**2 - j*p**2 + 3*n**2*p**2 + 1106*n**2 wrt j?
6*j*n*p - 21*n**2 - p**2
What is the third derivative of -i*s**3 + i*s + 8*i - 223*s**4 - 3*s**2 wrt s?
-6*i - 5352*s
What is the third derivative of -1317*a**3 + 54*a**2 - 4*a?
-7902
What is the derivative of 8*i**2*m - 2*i**2*z**2 - 7*i*m**2 - 13*i*m*z**2 - 2*i*m - 3*m**2*z wrt z?
-4*i**2*z - 26*i*m*z - 3*m**2
Find the third derivative of 2*q*r*w**4 + 14*q*r*w**3 + 15*q*r*w + q*r + 2*q*w**4 + 2*w**2 wrt w.
48*q*r*w + 84*q*r + 48*q*w
What is the third derivative of 3*l*y**5 + l*y**4 - 14*l*y**2 - 11*l*y + 6*y**5 + y**2 wrt y?
180*l*y**2 + 24*l*y + 360*y**2
What is the third derivative of -2*d**4*q**3 - d**3*q*y - 32*d**3*w*y - 2*d**2*q**3*y + 8*d**2*q**2 - d**2*w*y - q**3*w + 3*q wrt d?
-48*d*q**3 - 6*q*y - 192*w*y
What is the third derivative of 644*m**3 + 62*m**2 - 1?
3864
Find the second derivative of 2*x**4 - 386*x**3 - x + 131 wrt x.
24*x**2 - 2316*x
What is the second derivative of 7*b**5 + 40*b**2*z - b*z + 130*b - 4*z wrt b?
140*b**3 + 80*z
What is the second derivative of f*k**3*l**2 + 2*f*k**2*l**2 + 4*f*k*l + 2*f*k*u**3 - 3*f*l*u**2 + 3*k**3*l*u**2 - 2*k**3*u**3 - 2*k*l**2*u**3 wrt l?
2*f*k**3 + 4*f*k**2 - 4*k*u**3
What is the third derivative of 940*z**6 - 901*z**2 - 2 wrt z?
112800*z**3
What is the third derivative of -124*d*x**5 + 2*d*x**3 - 2*d*x - 3*d + 3*x**2 wrt x?
-7440*d*x**2 + 12*d
Find the third derivative of 2*o**3*p*s + 5*o**3*s**2 - 35*o**3*s - o**2*p*s - 2*o**2*s**2 + 9*o**2 - 5*p*s**2 wrt o.
12*p*s + 30*s**2 - 210*s
Differentiate -234*d**2*f**2*s + d**2*f + 5*d*f**2 + 35*f**2*s - 2*f**2 - f*s - 20*s wrt d.
-468*d*f**2*s + 2*d*f + 5*f**2
What is the second derivative of -5002*i**5 + i + 416 wrt i?
-100040*i**3
Find the third derivative of -41*x**6 - x**3 - 407*x**2 wrt x.
-4920*x**3 - 6
Find the second derivative of -877*v**2*y - 392*v*y + 5*y wrt v.
-1754*y
Find the first derivative of 1183*l**2*p + 1561*l**2 wrt p.
1183*l**2
Find the second derivative of 409*a**2*g + 3*a*g - 2*a + 4*g wrt a.
818*g
What is the second derivative of 9*t*u**5 - t*u**3 - 4*t*u - 5*u**4 + 6*u wrt u?
180*t*u**3 - 6*t*u - 60*u**2
What is the second derivative of 20*f*l**3 - 2*f*l**2 + 2*f*l - 2*l**3 + 54*l wrt l?
120*f*l - 4*f - 12*l
What is the second derivative of 3*f**3*i**2*n**2 + 2*f**3*i*n - 7*f**3 - 159*f**2*i**2*n**2 + f*i*n**2 - 4*i wrt i?
6*f**3*n**2 - 318*f**2*n**2
Find the third derivative of 7*b**3*u - 5*b**3 + 3*b**2*u - b*u - 5*u wrt b.
42*u - 30
What is the second derivative of -13*b**5 + b**4 - 331*b?
-260*b**3 + 12*b**2
Find the third derivative of 6*d**5*s**3 + 5*d**4*s**3 + 5*d**2*s**3 + 12*d**2 wrt d.
360*d**2*s**3 + 120*d*s**3
What is the second derivative of -2081*o**3 - o**2 - 18*o - 39?
-12486*o - 2
Find the third derivative of 3*y**4 - 93*y**3 + 111*y**2 + 10.
72*y - 558
Find the second derivative of 656*x**3 - 120*x + 3 wrt x.
3936*x
Find the third derivative of -2695*z**4 + 24*z**2 - 84*z wrt z.
-64680*z
Find the second derivative of 2*s**3*y**2 - 283*s**3*y + 3*s**3 - 3*s*y**2 - 300*s wrt s.
12*s*y**2 - 1698*s*y + 18*s
Find the third derivative of -1052*y**4*z**3 - 118*y**2*z**3 - 7*z**3 wrt y.
-25248*y*z**3
Find the second derivative of 122*q**4 + 4*q**3 - q**2 + 7089*q + 2.
1464*q**2 + 24*q - 2
What is the first derivative of 2*a*m**2 - 13*a*v + 4*m**2*v + 8*m*v + 6 wrt m?
4*a*m + 8*m*v + 8*v
What is the second derivative of c**5 - 103*c**4 - 2*c wrt c?
20*c**3 - 1236*c**2
What is the second derivative of 399*c**3*v + 2*c**3 - c**2*v**2 + 114*c*v**2 - 3*c*v wrt c?
2394*c*v + 12*c - 2*v**2
What is the second derivative of -5829*x**2*y**3 + 1700*x*y + y**3 wrt x?
-11658*y**3
Differentiate 123*g**2 + 2*g*n**3 + 805*n**3 with respect to g.
246*g + 2*n**3
What is the derivative of -26*m*z**2 + 3*m + 8*z**2 wrt m?
-26*z**2 + 3
What is the first derivative of 129*f**3 + 3*f**2 - 9620?
387*f**2 + 6*f
Find the first derivative of 3*j**2*n**2 + 137*j**2*n*u + j**2*n + j*n**2*u - 19*j*n - 2*u wrt u.
137*j**2*n + j*n**2 - 2
What is the third derivative of 2*i**6 + 28*i**5 + 41*i**2 - 17*i wrt i?
240*i**3 + 1680*i**2
What is the second derivative of 252*b**3*j**2 - 2*b**3*j + b**2*j*n + b**2*j - 9*b**2*n - 2*b*j**2*n wrt j?
504*b**3 - 4*b*n
What is the third derivative of -t**5 - 64*t**3 + 293*t**2?
-60*t**2 - 384
What is the first derivative of 30362*a**2 + 16066?
60724*a
Find the second derivative of -1068*t**5 + 2*t**2 - 6610*t.
-21360*t**3 + 4
What is the second derivative of -4*a**5 - 3*a**4 + 66*a**2 + 96*a + 15?
-80*a**3 - 36*a**2 + 132
What is the derivative of -18*a*n**3 - 12*a*n - 2*n**3 + 464*n wrt a?
-18*n**3 - 12*n
What is the third derivative of -3*a*k**3*x**3 + 2*a*k**3*x**2 + 58*a*x - 24*k**3*x**3 - 2*k**3*x**2 - 2*k*x**3 + x wrt x?
-18*a*k**3 - 144*k**3 - 12*k
Differentiate 2*i**2 - 155*i + 46 with respect to i.
4*i - 155
Find the first derivative of -11*a*q**2*z - 2*a*q*z - 3*a*z - q**4*z - 207*z wrt q.
-22*a*q*z - 2*a*z - 4*q**3*z
What is the derivative of -322*y**3 + 242?
-966*y**2
Find the second derivative of -2277*l**3 - 395*l - 4.
-13662*l
What is the third derivative of -43*d**6 - 4372*d**2?
-5160*d**3
What is the third derivative of 56*c*m**4 - 26*c*m**3 + 10216*c*m**2 - 1 wrt m?
1344*c*m - 156*c
Differentiate 2*c**2*y + 194*c**2 - y - 741 with respect to c.
4*c*y + 388*c
Find the first derivative of 552*q**3*r**2*v + 2*q**3 + 3*q**2*r**3*v + 2784*r**3 wrt v.
552*q**3*r**2 + 3*q**2*r**3
What is the first derivative of 9222*j**3*o + 15882*o wrt j?
27666*j**2*o
What is the third derivative of 894*m**5 + 2*m**2 - 6982*m?
53640*m**2
What is the second derivative of -19130*j*w**3 - j*w - 1083*w + 2 wrt w?
-114780*j*w
Find the third derivative of -2947*c**3 + 4*c**2 - 85*c wrt c.
-17682
Find the third derivative of -57*u**5 - 2*u**3 - 124*u**2 wrt u.
-3420*u**2 - 12
Differentiate -2*b**4*n - 825*b**2*n**2 + 18*n**2 + 6 with respect to b.
-8*b**3*n - 1650*b*n**2
Find the second derivative of 635*g*u**2 + g + u + 7 wrt u.
1270*g
Find the second derivative of 8*f**2*i**3 - f**2*i**2 + 5*f**2 + 9*f*i**3 - 30*f*i + i wrt i.
48*f**2*i - 2*f**2 + 54*f*i
What is the derivative of 55*d**4*n**2 - 3*d**2*n**3 - 2*n**3 - 64*n wrt d?
220*d**3*n**2 - 6*d*n**3
What is the second derivative of -6*b**4*c*g - 3*b**3*c*g - 153*b*c*g wrt b?
-72*b**2*c*g - 18*b*c*g
What is the third derivative of 9*u**6 + 33*u**3 + 7*u**2 - 48 | {
"pile_set_name": "DM Mathematics"
} |
j - 4*v + 5 = -3*v for j.
4
Suppose 0 = -4*s - 3 - 1. Let g = 2 - s. Suppose -2*i + 38 + 2 = 0. Solve 2*d + g*d - i = m, d + 5*m - 4 = 0 for d.
4
Suppose -o + 8 = -2*k, 3*o - 2*o = 3*k + 12. Suppose o - 4 = -u. Solve 2*y = 3*y + 5*j - 25, u*y - 4*j = -20 for y.
0
Suppose 5*s + 0*s - 15 = 0. Suppose -45 = -2*k - s*k. Suppose -3*v - k = -4*o, -4*v + 9 - 20 = -5*o. Solve 5*n + o*c + 25 = 0, 0 = n + 3*c + 5 for n.
-5
Let u = 28 - 5. Suppose -5*m = -4*c, -4*c + c - 2*m + u = 0. Solve -6*g = v - 2*g - 7, c*v + 3*g = -16 for v.
-5
Let x(g) = -5*g - 1. Let u be x(-1). Suppose 0 = -v + 2*y - 8, 2*v + u*y = v + 16. Solve -5*l + 0*i - 3*i - 5 = v, -4*l = 5*i + 17 for l.
2
Let t = 3 + -2. Let s(g) = 28*g**3 - g**2 + 2*g - 1. Let z be s(t). Suppose 0 = -0*k + 2*k - z. Solve -k + 2 = -5*c - 3*p, c - 4*p = 7 for c.
3
Let a(m) = m**3 - 6*m**2 + 3*m + 12. Let s be a(5). Solve 0 = -5*c - 15, 5*r - s*c + 0*c - 6 = 0 for r.
0
Let b = -15 + 15. Solve 5*c - 21 = -3*q, b = q + c + 2*c - 11 for q.
2
Let l = -1 - 3. Let b be (l/6)/(1/(-6)). Solve -h - 2*j = 2*j + 5, -5*j - 1 = -b*h for h.
-1
Suppose 5*b - 13 = 3*d, 5*d = 3*b + d - 10. Suppose 2 = -2*w + 8. Let f(j) = 3*j - 7. Let o be f(6). Solve -g + b*p - o = 0, 0 = 5*g + w*p - 8*p + 40 for g.
-5
Let v(w) = -15*w. Let o be v(-1). Solve -4*p - h = -2*h + o, -2*h - 35 = 5*p for p.
-5
Let z be 6 + -6 - (-16 + -1). Let n = -15 + z. Solve 5*h + 0*h = m + 24, 4*h - n*m - 18 = 0 for h.
5
Suppose -2*p = -2*r - 4, -46 = -3*r + 6*r + 5*p. Let k = 12 + r. Let a = k + -3. Solve 0 = a*v + 5*t - 11, -3*v + 2*t + 8 = t for v.
3
Let i(b) = -b**3 - 4*b**2 + 2*b - 12. Let a be i(-5). Solve 0 = 4*h + a*n + 31, -h + 0 + 1 = -n for h.
-4
Suppose 0 = 4*u + 20, -4*u - 26 = 2*s - 4*s. Solve 0*l - 1 = -l - s*r, 4*r + 1 = l for l.
1
Suppose f - 1 + 0 = 0. Let m = -1 + f. Solve 5*v - 2*i = 20, -i + m*i - 9 = -2*v for v.
2
Suppose 5*r = -90 + 100. Solve 2*d + r = j - 3, -3*j = 4*d + 35 for j.
-5
Let a be 0/(5 - 1)*-1. Suppose a = k - 3 + 1. Solve k*o + 0 = g + 8, 0 = -g for o.
4
Suppose 0 = 2*v - 4*f - 24, 0 = -v + 2*v + f. Solve 0*r = 3*w - r - 20, -2*w + 30 = -v*r for w.
5
Suppose -3*k - k - 2*h + 10 = 0, -5*h - 17 = -4*k. Suppose m = k*m. Let i be 6 + (1 - m)*-2. Solve i*w - 32 = -7*v + 2*v, 7 = -2*v + 5*w for v.
4
Suppose 12 = -10*h + 13*h. Suppose 2*f - 14 = -4*z, 12 = -0*z - 3*z. Suppose 2*i - f = -1. Solve 0 = -3*y + u + 19, h*y = 4*u + 43 - i for y.
5
Suppose -5 = v - 21. Solve -3*q + 20 = 2*i, 0 = -q - 0*q - 3*i + v for q.
4
Let m be (-5)/10 + (-1)/2. Suppose -2*d + 5 = 4*a - 5*a, 3*d - 10 = 2*a. Let f be (-9)/(-3) + m - d. Solve -3*z - 21 = -i - f*i, 4*z - 12 = -4*i for z.
-2
Suppose 0 = -2*s + s + 2. Solve -s = -5*a - 3*b - 5, -3*b = -5*a - 27 for a.
-3
Suppose 0 = 3*r + 6 - 39. Solve -r = j + 2*o - 0*o, -4*j - o = 16 for j.
-3
Let k = -13 - -22. Solve -3*a - 11 = -5*w, -5*a + a = -w + k for w.
1
Let s = -2 - -2. Suppose s*l + 2*l = -4*d - 4, 5*l = 3*d + 16. Solve -4*h - l = o - 6*o, -3*o = -6 for h.
2
Let r be (-630)/(-40) + (-2)/(-8). Suppose -17*p + r = -13*p. Solve -2*i + 13 = 2*a - 7*i, -13 = a + p*i for a.
-1
Let k(f) = -f**3 - 16*f**2 + 14. Let g be k(-16). Solve -8 = j - y, -2*y - g = 3*j - 3*y for j.
-3
Suppose -1 + 3 = 2*s. Suppose 0 = -d - 4*d + p + 19, d - s = 3*p. Solve 5*r - l = d*l, -5*r = -4*l - 1 for r.
1
Let w = 74 - 74. Let m be 10/3*(-6)/(-5). Let r be -3*-1*(-8)/(-6). Solve w = -m*n + f + 1, f = n - r for n.
-1
Let m(v) = v**2 + 3*v - 2. Let z be m(-4). Suppose -7*b + 22 = -3*b - z*h, 2*h = b - 7. Solve -2*n + 2 = -s + b, 9 = 3*s + 2*n for s.
3
Let s be 12/(-30) - 44/(-10). Solve -j - s = 3*q, -3*q - 3*j = -q + 5 for q.
-1
Suppose w = -2*s + 27, 6*s = 4*w + 2*s - 48. Solve p + w = -3*d, 6*d + 5*p + 45 = d for d.
-4
Suppose -q + 0*q = q. Let c be -1 + 2 - (15 - 4). Let w be ((-16)/c)/(4/10). Solve q = 5*l + w*p - 9, -4*p = l - 3*p - 2 for l.
1
Let i(o) = -o**3 + 7*o**2 + 2*o - 6. Let r be i(7). Suppose -r = -5*l - 3*p, 4*l + p = -2*p + 4. Solve l*n - 17 = -3*v, -v + 4*v + 3*n - 12 = 0 for v.
-1
Let a = -187 + 191. Solve -6 = -4*o - 5*g + 5, -4*o = a*g - 8 for o.
-1
Suppose 3*p + 15 = 36. Let n = p + -7. Solve -5*b - 3 = -3*x, -4*x - 2*b + n*b - 22 = 0 for x.
-4
Let z = -9 - -13. Let r(v) be the second derivative of v**3/6 + 3*v**2 + 5*v. Let q be r(-6). Solve -24 = -z*m + 4*s, 4*m - 27 = -q*s + 5*s for m.
3
Let n = -2 + 2. Suppose 2*k + k + 3*a - 12 = 0, n = -3*k - 4*a + 12. Solve v = -3*f + 25 - 10, 2*f - 10 = -k*v for f.
5
Suppose -5*n = 10, 2 = -b - 5*n - 8. Solve 0 = -5*k + 3*k - 2*m - 12, -5*k - 2*m - 18 = b for k.
-2
Let d = 83 - 83. Solve d = 5*k - b + 30, -k = -3*k + b - 15 for k.
-5
Let w(q) = q**2 - 6*q + 9. Let v be w(5). Solve -a + 12 = -3*o + 3*a, -v*a = -4*o - 12 for o.
0
Suppose 0 = x - 6*x. Solve 3*c + 45 = -5*f - 2*c, x = f - c + 1 for f.
-5
Let r be (-2)/((-1)/(4/(-2))). Let c be 36/8 + 2/r. Solve 0 = 3*x - 4*x - 3*i - 9, -12 = c*i for x.
0
Let p(q) = q**2 + 3*q - 3. Let s be p(4). Solve -r + 0*a = -5*a + 30, s = 5*a for r.
-5
Let c = 6 + -4. Let v be 6 - (c + (-1 - 0)). Suppose 2*h - 57 = -3*a + 5*h, 4*h + 96 = 5*a. Solve v*m - 5*b - a = 25, -2*m - 2*b = -2 for m.
5
Suppose 4*n - 40 = -4*o, -1 = 4*n + o - 26. Solve -2*l + 0*l + 3*h - n = 0, 2*l - h = -7 for l.
-4
Let y = 26 + -24. Solve 5*d = -10, -5*j + 0*d - y*d + 11 = 0 for j.
3
Let u(h) = 2*h + 11. Let p be u(-2). Let c(o) = o**2 + 5*o - 3. Let z be c(-6). Solve 0 = z*v - s + p, -5*v + s - 7 - 4 = 0 for v.
-2
Let h(z) = -z**3 - 6*z**2 + z + 6. Let x be h(-6). Suppose 12 = -x*p - 2*p. Let i be -3*(p/3)/2. Solve -7 + 0 = 5*q - k, 4*q + i*k = -17 for q.
-2
Suppose 0 = 3*q - 10*q + 28. Solve -q*n - 10 = 4*z + 14, 0 = 3*z + 4*n + 23 for z.
-1
Suppose 3*b - b = 5*u, -2*u = 4*b - 24. Suppose -4*f - 5 = -5*j, -b + 15 = 4*f - 2*j. Solve g + q = 1, -2*g + f = 3*g + q for g.
1
Suppose 14 = -2*h + 18. Suppose -2 = -d - 0. Solve 0*w - d = 2*w + 2*u, u = -h*w - 3 for w.
-2
Let t(h) = h**2 - 2*h + 2. Let c be t(4). Solve 2*f = -8, -q = -3*q + 4*f + c for q.
-3
Let i be 2/((-28)/12 + 3). Solve -i*m + 7 = t - 2, -3*t = 3*m - 3 for t.
-3
Suppose 0 = -5*y - 5*b + 5, 5*b + 0*b + 22 = 4*y. Let x be ((-1)/5 + 231/55)/1. Suppose y*k = x*k. Solve -u + n + 4*n = 12, k = -u + 2*n - 3 for u.
3
Let q(x) = 2*x - 15. Let m be q(9). Solve -12 = 4*t, m*t = -4*f + 4*t + 3 for f.
0
Suppose -4*q = -3*q + a - 6, 2*q - 4*a = 0. Solve q*p - 16 = v, 2*p = 5*p - 9 for v.
-4
Suppose 2*z = -5*q + 36, -2*q - 6 = -2*z + 16. Solve 2*c + 4*y = 4, -5*y - z = -2*c - 0*y for c.
4
Let v be (2/5)/((-2)/10). Let x(n) = -2*n. Let t be x(v). Solve -o = -0*o + t*p + 5, p = -3*o - 15 for o.
-5
Suppose 0 - 16 = -8*y. Let p = 8 + -4. Solve p*a + c + 1 = y*a, 0 = -3*a + 3*c - 6 for a.
-1
Suppose -2*s - 4*z + 40 = 0, 0 = -3*s + 2*z - 4*z + 68. Let c be (4/16)/(3/s). Solve 4*k - 9*k = -c*d - 16, -5*k + 20 = 0 for d.
2
Let l be ((1 - 1) + -2)*1 + 5. Solve 4*f + 3*h = 25, 0 = -4*f + l*h + 2*h + 1 for f.
4
Let r be (6/21)/(3/21). Suppose 0 = -3*v + r*d - 0*d + 7, 0 = 4*d + 8. Solve 5*q + o + 10 = 0, -5*o = 3*q + 5 + v for q.
-2
Suppose 12 = -8*f + 4*f - 3*h, 3*f - h = 4. Solve -4*s - t - 4 = f, 4*t = -s + 3*t - 1 for s.
-1
Let x be 1 + 1 + 6/(-3). Let c be (x - (-1)/(-1))*-4. Solve 0*p - c = -q - 2*p, -q + 3*p = 16 for q.
-4
Suppose -36*r = -35*r - 7. Let m(y) = -y**3 + 9*y**2 + 6. Let q be m(9). Let k be q/15 + (-8)/(-5). Solve 2*j = -x - 9, k*x + 2*j = -19 + r for x.
-3
Suppose 5*b = -4*v + 13, 2 = 3*v - 3*b - 1. Let r be ((-2)/(-1))/(-2) + 5. Let m be 1 + 2 + -1 + 1. Solve -4*w = -m*i + 16, i = -v*w - r*i + 18 for w.
-1
Let i be -11 - 1*-2 - 1. Let c = -6 - i. Suppose -4*d + 15 = -d. Solve -3*b + d*b = -4, -10 = c*o + b for o.
-2
Let p(t) = -5*t + 3 + 2*t**3 - t**3 + t - 3*t**2 + 0*t**2. Let w be p(4). Let u be 1*w - (8 - 7). Solve -5 = 4*y + x + 16, u*y - 2*x = 2 for y.
-4
Let h = -11 + 19. Suppose h*d - 4*d = 108. Solve -4*x - d = -3*s, -x + 9 + 8 = 4*s for x.
-3
Let y(o) = -o**2 + 4*o. Let f be y(2). Solve -2*n - 7 = f*v - n, -5*v = 2*n + 8 for v.
-2
Let h be (-3 + 0 + 4)*0. Solve 5*j - 3*s - 13 = h, 0 = -j - 2*s + s + 1 for j.
2
Suppose -3*g + 35 = 2*g + 5*l, 5*g - 5*l + 15 = 0. Let y be (6/g)/((-3)/(-2)). Solve 5*t - 21 = 5*p - y*p, -2*p + 2 = 2*t for p.
-2
Let f(s) = -s**2 - 6*s + 2. Let q | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 224*p - 224. Give -672*f(l) - 3*j(l).
96*l**3
Let j(u) = 663*u**3 - 6*u**2 + 22*u + 6. Let n(p) = -132*p**3 + p**2 - 4*p - 1. What is 2*j(y) + 11*n(y)?
-126*y**3 - y**2 + 1
Let w(c) be the third derivative of -c**3/6 - c**2. Let p(s) = 2*s + 2. Suppose -24*y + 20*y + 40 = 0. Let j be (-63)/45 - (-4)/y. What is j*p(m) - 2*w(m)?
-2*m
Let h(o) = 17*o - 2. Let q be 13 - 6 - (5 + -2 - -2). Let v(c) = -8*c + 1. Give q*h(j) + 5*v(j).
-6*j + 1
Let v(n) = -6 + 314*n - 152*n - 145*n + 6. Let l(c) = -68*c. Calculate -4*l(x) - 17*v(x).
-17*x
Let f(c) = c**2 + c - 1. Let g(j) = -j + 10. Let q be g(13). Let s(h) = 2*h**3 - 2*h**2 - 3*h + 3. Calculate q*f(d) - s(d).
-2*d**3 - d**2
Suppose -6*q - 100 = 14*q. Let n(r) = -7*r**3 - 2*r. Let o(z) = 15*z**3 + 5*z. Calculate q*n(s) - 2*o(s).
5*s**3
Let k(a) be the second derivative of a**5/4 + a**3/3 - a**2 + 31*a - 6. Let c(j) = 9*j**3 + 5*j - 4. What is -2*c(t) + 5*k(t)?
7*t**3 - 2
Let o(i) = -3*i. Let w(k) = -4*k - 1. Let z(d) = d. Let r(f) = -w(f) - 5*z(f). Suppose 15 = -6*s + 3. Calculate s*r(n) + o(n).
-n - 2
Let q(y) = -2*y**2 - 2*y - 3. Let x(w) = -w**2 + 3*w**2 - 5*w + 1 + 1 + 7*w. Suppose 60 = -11*s - 4*s. Calculate s*x(c) - 3*q(c).
-2*c**2 - 2*c + 1
Let o(n) = n**2 - n. Let u(q) = -12*q**2 - 8*q. Let m(w) = 22*w + 617. Let j be m(-28). What is j*u(s) - 8*o(s)?
-20*s**2
Let q(x) = 356*x + 28. Let u(h) = -119*h - 8. Give 3*q(r) + 10*u(r).
-122*r + 4
Let w(u) = 40*u - 29. Let d(s) = -19*s + 14. Determine 9*d(y) + 4*w(y).
-11*y + 10
Let p(z) = -z - 1. Let m = 2 + -4. Suppose 4 = 4*y - 2*b - 18, -5*y = b - 24. Let l(s) = -4 + 2 - 1 - 3*s. Determine m*l(t) + y*p(t).
t + 1
Let h(i) = -12*i**2 - 3*i - 3. Let z(x) = x**3 + 31*x**2 - 65*x + 36. Let j be z(-33). Let u(k) = 13*k**2 + 4*k + 4. Calculate j*u(c) + 4*h(c).
-9*c**2
Let j(o) = 119*o + 1. Let v(g) = -118*g. What is -2*j(y) - 3*v(y)?
116*y - 2
Let o = -149 + 155. Let q(l) = -4*l**2 + 3*l + 3. Let w(c) = -c**2 + c + 1. Determine o*w(k) - 2*q(k).
2*k**2
Let u be 9 + 435/(-60) + 6/(-8). Let m(t) = -t**2 + t + 1. Let j(a) = -4*a**3 - 6*a**2 + 4*a + 6. Determine u*j(h) - 4*m(h).
-4*h**3 - 2*h**2 + 2
Let d(q) = -q**2 - 1. Let j(x) = 176*x**2 - 176. What is -176*d(a) + j(a)?
352*a**2
Let c(u) = 0 + 3*u + 3*u - 7*u + 1. Let d be (-20)/(-6)*21/(-14). Let g(f) = 2*f - 3. Give d*c(h) - 3*g(h).
-h + 4
Let m be ((1 + -6)*48/(-12))/2. Let l(f) = -2*f**3 - 4*f + 6. Let v(h) = h**3 + h - 2. Give m*v(k) + 3*l(k).
4*k**3 - 2*k - 2
Let q(y) = y**2. Let c(j) be the third derivative of j**5/20 + j**4/8 + j**3/2 - 890*j**2. What is -c(m) + 4*q(m)?
m**2 - 3*m - 3
Let g(y) = -143*y - 26. Let p(a) = -16*a + 2 + 5 - 11 + 1. Determine 3*g(f) - 26*p(f).
-13*f
Let m(n) = 9*n**3 + 2*n**2 + 4*n + 7. Let u(p) = -4*p**3 - p**2 - 2*p - 3. Calculate -6*m(j) - 14*u(j).
2*j**3 + 2*j**2 + 4*j
Let w(x) = -2*x**2 + x - 2. Let c(y) = 6*y**3 + 28*y**2 - 4*y + 10. Give -c(a) - 5*w(a).
-6*a**3 - 18*a**2 - a
Let t(u) be the first derivative of u**3/3 - 2*u - 28. Let r(x) = -x**2 + 12 - 12. Give -4*r(n) - t(n).
3*n**2 + 2
Suppose 9*q + 8 = 4*m + 5*q, -4*m - 2*q + 20 = 0. Let k(c) = -5*c. Let a(w) = w. Let g(d) = d**2 - 20*d + 20. Let i be g(19). Give i*k(l) + m*a(l).
-l
Let p(n) = -n**2 - n. Let r(f) = -3*f**3 + 2*f**2 + 6*f - 1. Determine -3*p(d) - r(d).
3*d**3 + d**2 - 3*d + 1
Let a(t) = -t + 4. Let g be (-2)/9 - (-40)/18. Let j(i) = -74. Let b(r) = 21. Let d(o) = -7*b(o) - 2*j(o). Calculate g*a(n) - 7*d(n).
-2*n + 1
Let s(i) = 63*i**3 + 69*i**3 - 133*i**3 - 1 - i. Let w(h) = 2*h**3 - 2*h**2 + 4*h + 3. Give 3*s(r) + w(r).
-r**3 - 2*r**2 + r
Let i(l) = -2*l**3 - l - 2. Let k(f) be the third derivative of -f**6/120 + f**5/60 - f**4/24 - f**3/2 - 4*f**2 - 5*f. Give 3*i(a) - 2*k(a).
-4*a**3 - 2*a**2 - a
Let b(x) = 28*x**2. Let g(a) = -17 + 3*a**2 + 19 - 2. Calculate 4*b(r) - 35*g(r).
7*r**2
Let w(r) = 210*r + 21. Let p(n) = -631*n - 72. Determine 2*p(m) + 7*w(m).
208*m + 3
Let d(g) = -13*g**2 - 5*g - 6. Let p(l) = l**2 + l + 1. Let f(b) = -6*b - 47. Let w be f(-8). Calculate w*d(n) + 6*p(n).
-7*n**2 + n
Let o(w) = -w + 1. Let x(d) = 3*d**2 - 6*d + 6. Let n(i) = 2*i**2 - 33*i + 96. Let q be n(13). Calculate q*x(k) - 30*o(k).
15*k**2
Let t(h) = 115*h - 2. Let m(b) = 4599*b - 81. Calculate -2*m(r) + 81*t(r).
117*r
Let r(i) = 4*i**3 - i**2 - i + 1. Let j(a) = -5*a**2 - 9*a + 5. Determine j(v) - 5*r(v).
-20*v**3 - 4*v
Let o(s) = -2 + 10*s**2 + 1 + s - 5. Let h(g) = 7*g**2 + g - 4. Let w(r) = -3*r**2 - 3*r. Let d be w(-2). Let x = d + 13. Give x*h(v) - 5*o(v).
-v**2 + 2*v + 2
Let f(c) = c. Let s(o) = -o + 1. Suppose 0 = -4*j + 2*q + 230, -5*j + 5*q = -292 + 17. Let u = j - 56. Give u*f(z) + 2*s(z).
2*z + 2
Let o(n) = -393*n + 4. Let f(h) = -785*h + 7. Determine -4*f(g) + 7*o(g).
389*g
Let r(i) = i. Let l = 83 - 81. Let s(c) = -l + 3 - 4*c - 16*c**2 + 14*c**2. Calculate -5*r(n) - s(n).
2*n**2 - n - 1
Let u(l) = -2*l**3 + 5*l**2 + 5*l - 7. Let c(g) = -3*g**3 + 7*g**2 + 7*g - 11. Let i(v) = -6*v**3 - 3*v + 4. Let j be i(1). Give j*c(q) + 7*u(q).
q**3 + 6
Let s(m) = -9*m**2. Suppose k + 5*r + 15 = -10, -5*r = 20. Let q(o) = -9*o**2. Calculate k*q(t) + 6*s(t).
-9*t**2
Let z(k) = 4*k**2 - 4*k. Let y(q) = -4*q**2 + 11*q - 4*q - 2*q. Let l be ((-38)/(-10) + -3)*-5. Give l*y(h) - 5*z(h).
-4*h**2
Let v(h) = h**3 - 10*h**2 + 9*h + 3. Let o be v(9). Let p(j) = j**o + 75*j**2 - 3*j**3 - 67*j**2 + 2. Let w(i) = i**2. Determine p(l) - 6*w(l).
-2*l**3 + 2*l**2 + 2
Let q(t) = -t**3 - t - 1. Let f(o) = -19*o**3 + 4*o - 26. Let c(k) = 9*k**3 - k + 12. Let y(b) = 7*c(b) + 3*f(b). Give -5*q(h) - y(h).
-h**3 - 1
Let l(k) = 4*k - 11. Suppose t - 9 = -4. Let z(p) = t - p - p + 0*p. Calculate -3*l(n) - 7*z(n).
2*n - 2
Let d(k) = -20*k - 724. Let q(m) = 23*m + 721. Give 7*d(t) + 6*q(t).
-2*t - 742
Let f(d) = 2*d**2 - 12*d - 42. Let v(i) = -2*i - 2. Determine f(x) - 5*v(x).
2*x**2 - 2*x - 32
Let m(u) = 2*u**2 + 1. Let q(s) = 159*s**2 + 24. Calculate -120*m(r) + 5*q(r).
555*r**2
Let l(j) = j**2 + 2*j - 6. Let z(w) = w - 3. What is 2*l(y) - 5*z(y)?
2*y**2 - y + 3
Let o = 603 - 605. Let f(m) = -m - 31. Let d(u) = 15. What is o*f(k) - 5*d(k)?
2*k - 13
Let f be (1 + -3)/(-7 + -6 + 11). Let w(t) = t + 1. Let r(x) = -20*x**2 + 2*x + 2. What is f*r(l) - 2*w(l)?
-20*l**2
Let k(s) = 3*s**3 - 6*s**2 + 29*s + 8. Let x(f) = -f**3 + 2*f**2 - 10*f - 3. What is 6*k(z) + 17*x(z)?
z**3 - 2*z**2 + 4*z - 3
Let j(f) = -f + 7 + 4*f + 5*f. Let k(q) = 7*q + 6. Suppose y + 12 = -2*y, 0 = -3*u + 2*y + 26. Determine u*k(w) - 5*j(w).
2*w + 1
Let h(p) = -21*p + 84. Let t(s) = -1. Let n = -183 + 184. Calculate n*h(r) + 84*t(r).
-21*r
Let y(n) = 3*n - 8. Let a(w) = 2*w + 8. Let r(q) = -3*q - 13. Let k(x) = -5*a(x) - 3*r(x). Calculate 6*k(b) - y(b).
-9*b + 2
Suppose x = -1 + 6. Let h(s) = 6035*s + 40 - 46 - 6033*s. Let w(p) = 3*p - 7. Calculate x*h(f) - 4*w(f).
-2*f - 2
Let c(y) = y - 1. Let z(b) = 2*b**2 - 10*b + 20. Let h(i) = -i + 2. Let k(u) = 7*h(u) - z(u). Give -5*c(p) + k(p).
-2*p**2 - 2*p - 1
Suppose -k + 1 = 3*z + 5, 2*k = -3*z - 11. Let a(l) = 3*l**2 + l. Let n(p) = 9*p**2 + 3*p + 1. Determine k*a(o) + 2*n(o).
-3*o**2 - o + 2
Let a(h) = -42*h**2 - 6*h. Let m(x) = -63*x**2 - 9*x. Give -7*a(q) + 5*m(q).
-21*q**2 - 3*q
Let h = -3 + 6. Let y(n) = 5*n**2 - 3*n - 3. Suppose -5*j + 6 = -l + 2, 3*j - l - 4 = 0. Let u(r) = j + 8*r + 0 - 14*r**2 + 8. What is h*u(v) + 8*y(v)?
-2*v**2
Let l(c) = 6*c**2 - 4*c + 3. Let o(a) = -a**3 - 15*a**2 + 9*a - 6. What is -5*l(k) - 2*o(k)?
2*k**3 + 2*k - 3
Let z(v) = -88*v**2 - 6*v - 4. Let j(m) = 176*m**2 + 10*m + 7. Determine -3*j(o) - 5*z(o).
-88*o**2 - 1
Let h(u) = 3*u**3 + 10*u**2 - 7*u - 26. Let l(o) = 2*o**3 + 4*o**2 - 3*o - 13. What is -4*h(v) + 10*l(v)?
8*v**3 - 2*v - 26
Let g(h) = -329*h + 3. Let x(s) = -6*s. What is g(c) - 2*x(c)?
-317*c + 3
Let k(o) = -10*o**2 - 8*o + 11. Let l(i) = 2*i - 1. Determine k(x) + 4*l(x).
-10*x**2 + 7
Let u(i) = -i**2 - i - 3. Let o(w) = -92*w**2 - 3*w - 9. Give -o(y) + 3*u(y).
89*y**2
Let f(y) = y**3 + y**2 - y - 1. Let l(v) = -4*v**3 + 3*v**2 - 3*v - 3. Suppose 60*m = 64*m + 4. Calculate m*l(b) + 3*f(b).
7*b**3
Let y(l) = 128*l + 13. Let t(h) = -43*h - 4. Calculate 7*t(s) + 2*y(s).
-45*s - 2
Let o(b) be the first derivative of 3*b**2 + 2*b + 4769. Let u(r) be the second derivative | {
"pile_set_name": "DM Mathematics"
} |
3?
1
Let s = -20 - -42. What is the highest common divisor of s and 88?
22
Let m = -4 + 4. Let i be m/1 - 1*-4. Suppose -i*v + 133 = 5. What is the highest common divisor of v and 16?
16
Let h be (-238)/(-10) + (-2)/(-10). What is the highest common factor of h and 36?
12
Suppose -5*a - n + 3 = -18, a + n = 5. Calculate the highest common divisor of a and 4.
4
Let m = 20 + -8. Calculate the greatest common factor of 3 and m.
3
Let q = 201 - 129. What is the greatest common divisor of 8 and q?
8
Let c(b) = -b**2 - 15*b - 6. Let y be c(-12). Calculate the highest common factor of y and 75.
15
Let r(s) = 2*s**2 - 17. Let g be r(-4). Let p = 155 + -110. What is the highest common factor of p and g?
15
Let j(k) = -2*k**3 - 5*k**2 - 10*k - 4. Let p be j(-2). What is the greatest common factor of p and 132?
12
Suppose 3*l - 2*p - 4 = 0, 4 = 4*l - 2*p - 0. Let k(s) = -s + 3. Let x be k(l). Calculate the greatest common factor of x and 1.
1
Let l = -5 + 9. Suppose -k + 55 = l*k. Calculate the greatest common factor of 99 and k.
11
Let l be 600/45*12/10. Calculate the highest common factor of 80 and l.
16
Suppose 0 = 5*h + 4*v - 75, 0 = 3*h - 4*v + v - 18. Let c be (1 + -2)/(3/(-297)). What is the greatest common divisor of c and h?
11
Let x be 12/(-2)*50/(-4). Let t(f) = -36*f - 201. Let i be t(-6). Calculate the highest common divisor of i and x.
15
Let f = 248 + -163. What is the greatest common divisor of f and 34?
17
Let d(m) = -m**3 + 5*m**2 + 2*m - 7. Let n be d(5). Let w(g) = 4*g. Let p be w(n). What is the greatest common divisor of p and 24?
12
Let u = -31 - -51. Let v(w) = 3*w**2 - 2*w - 5. Let h be v(5). What is the highest common divisor of h and u?
20
Let j = -26 - -28. What is the highest common divisor of 5 and j?
1
Suppose -4*j + 2*l + 32 = 8, 2*j - 3*l - 8 = 0. Let r(i) = 7*i + 1. Let n be r(j). What is the highest common divisor of n and 10?
10
Let a be (-1)/(2/(-16)) + -1. Let t be a/(-14)*(-1 - 13). Calculate the greatest common divisor of 7 and t.
7
Let v(b) = 2*b**3 - 9*b**2 + b + 12. Let j be v(6). Let l = -35 - -19. Let y = 30 + l. Calculate the greatest common divisor of j and y.
14
Let z(b) = -4*b**3 + 9 + 14*b + 8*b**2 - 11*b + 3*b**3. Let r be z(8). Calculate the greatest common factor of r and 11.
11
Let n be 3 - 7/(28/(-156)). Calculate the greatest common divisor of n and 28.
14
Suppose 68 = 2*t - b - b, 0 = 3*t - 5*b - 104. Calculate the highest common factor of t and 11.
11
Suppose v - 9 = 63. Suppose -3*y + 0*x + 11 = x, 5*y = -4*x + 30. Suppose 5*i - 45 = 2*n, -y*i = 4*n - 10 - 8. Calculate the highest common divisor of i and v.
9
Let u = -2 + 23. What is the greatest common divisor of u and 7?
7
Let p = 36 + 39. Calculate the highest common divisor of p and 50.
25
Suppose 5*v - 3 = 57. What is the greatest common divisor of 60 and v?
12
Let n = -72 + 142. Let u be -1*(2 + -23)/3. Calculate the greatest common divisor of u and n.
7
Let b(p) = p**3 + 8*p**2 - 20*p + 13. Let m be b(-9). What is the highest common divisor of m and 14?
14
Suppose -2*l - 56 + 6 = -3*z, 3*z - 3*l = 45. Calculate the greatest common factor of z and 10.
10
Let s(g) = g**2 - 5*g - 5. Let w be -1 + -1 - (-12 - -15). Let t be s(w). Calculate the highest common factor of t and 15.
15
Suppose 0*t + t = 12. Let d = 56 - 26. Calculate the highest common factor of t and d.
6
Let v = 4 - 2. Suppose 5*r + 3*n = 30, n - 3 - 2 = 0. Suppose 518 = 5*c - v*q, r*c - 4*c + 5*q = -122. What is the greatest common factor of 17 and c?
17
Let c(l) = -l**3 + 5*l**2 + 2*l + 1. Let g be c(5). Let s be 9 - 90/10 - (1 + -100). Calculate the greatest common factor of g and s.
11
Let r = -20 - -24. Calculate the greatest common factor of r and 6.
2
Let f(m) = 3*m. Let p be f(5). Suppose 0 = h - 2*h + p. What is the highest common divisor of h and 5?
5
Let b be 12/(-16) + 111/4 + 2. What is the greatest common divisor of b and 203?
29
Suppose 6*m - 8 = 2*m. Suppose -j - 2*j + 50 = 2*g, 0 = m*g + j - 46. What is the greatest common divisor of 242 and g?
22
Let l be -7*2*2/(-2). Calculate the greatest common divisor of l and 70.
14
Let m be (7/3)/(1/(-18)). Let u = m + 60. Let i be 4/u + (-284)/(-18). Calculate the highest common factor of 40 and i.
8
Let r be 8/6 - 3/9. What is the highest common divisor of r and 9?
1
Let l(f) = 2 + 5 - 3 + 7*f + f. Let r be l(4). What is the greatest common divisor of r and 4?
4
Let c(q) = -q**2 - 7*q - 4. Let j be c(-5). Let n = 17 - j. Let k = 85 - -3. Calculate the greatest common divisor of n and k.
11
Let n = -74 + 88. Let l(x) = 2*x**3 - 10*x**2 + 8*x + 6. Let y be l(6). What is the highest common divisor of y and n?
14
Let m = 75 - 3. What is the greatest common divisor of 48 and m?
24
Let c(p) = -p**2 + 24. Let n be c(0). Let l = 4 + -1. Suppose -o = -l*s, o = -o + 3*s + 6. What is the highest common factor of o and n?
6
Suppose g + 23 - 5 = 0. Let w be (-245)/(-9) + 4/g. Calculate the greatest common divisor of w and 18.
9
Suppose 3*m = 2*m + 6. What is the greatest common factor of m and 60?
6
Let h(q) = 3*q - 4. Let r be h(5). What is the greatest common factor of 77 and r?
11
Suppose -33 = 4*m - m. Let p = m - -18. Calculate the highest common divisor of 35 and p.
7
Let q be (8/(-28))/((-4)/14). Calculate the greatest common divisor of q and 9.
1
Suppose 11*o - 3 = 8. Suppose -x + 6*w + 4 = 2*w, -x + 4 = -w. What is the highest common divisor of o and x?
1
Let q = 59 + 60. Let z(l) = 2*l**2 + 4*l - 31. Let c be z(4). Calculate the highest common factor of c and q.
17
Suppose -336 = -5*a - 5*j + 154, 4*a - 2*j - 386 = 0. Suppose 4*b - 409 = -a. Let n be b/9*(-21)/(-2). What is the highest common factor of n and 13?
13
Let z be ((-48)/(-2))/((-1)/(-1)). Calculate the highest common factor of z and 60.
12
Suppose -3*p + 2*p + 4 = 0. Suppose -w + 1 + p = 0. Calculate the greatest common divisor of w and 50.
5
Let z be 387/7 - (-4)/(-14). Let c(k) = 3 + 0 + k + 5*k**2 - k**3 - 1. Let a be c(4). Calculate the greatest common divisor of z and a.
11
Suppose 4*z - 2*t - 1082 = t, -t + 818 = 3*z. Calculate the highest common divisor of 16 and z.
16
Suppose 0 = 4*y + 7 - 199. Calculate the greatest common factor of y and 16.
16
Suppose 21 = 3*a + y + 2*y, 0 = -5*y + 25. Suppose -3*x + 48 = 4*d + a*x, 5*d = -3*x + 60. Suppose d = w - 0*w. What is the greatest common factor of 4 and w?
4
Let p = 17 + -10. Calculate the highest common divisor of p and 35.
7
Let q = 19 + -7. Calculate the greatest common factor of 60 and q.
12
Let k = -79 - -81. What is the highest common factor of k and 8?
2
Let t = 150 - -254. Suppose 0 = -0*k - 4*k + h + t, 516 = 5*k - 4*h. Let x be (-4)/(-6) - k/(-12). Calculate the highest common divisor of x and 81.
9
Let t = 7 + -14. Let h(o) = -10 - o**3 - 10*o + 6*o**2 + o**3 + o**3. Let m be h(t). What is the greatest common factor of m and 99?
11
Suppose 0 = 4*s + 12, -6*t + s + 99 = -2*t. Let o(q) = 5*q**3 - 3*q**2 - q + 2. Let p be o(1). What is the highest common factor of t and p?
3
Let c be 22 - (2 - (4 - 5)). Let w = 26 - c. Calculate the greatest common factor of w and 7.
7
Let u = 145 + -131. Calculate the highest common factor of 154 and u.
14
Suppose 7*i - 12 = 3*i. Suppose -i*m + 4*z = -26 - 11, 5*m - 85 = -5*z. Let c be (-448)/(-6)*m/10. What is the highest common divisor of 14 and c?
14
Suppose -2*f - f = c - 22, -5*c + 50 = -5*f. Let i be 2/c - (-200)/52. Calculate the greatest common factor of 6 and i.
2
Suppose -5*q + 70 = -0*z - z, -3*q + 42 = 5*z. Calculate the highest common divisor of q and 7.
7
Suppose 81 = 3*z - 99. Let i be (-621)/(-15) - (-2)/(-5). Let u = -29 + i. What is the highest common factor of z and u?
12
Let z be 2/1 + -1 - -3. What is the highest common divisor of z and 4?
4
Suppose -2*f + 34 = -0*f. What is the greatest common factor of f and 187?
17
Let f = 3 + 0. Let v be -2 + f - 0/(-4). Calculate the highest common divisor of 4 and v.
1
Let l be (8 + 0)*-1*1*-24. Calculate the greatest common divisor of 24 and l.
24
Let y = 25 - -13. Let u be (0 + 1 - -13) + 2. Let d = 3 + u. What is the highest common divisor of y and d?
19
Suppose -g = 3*y - 83 + 17, 93 = 4*y + 3*g. Calculate the highest common factor of y and 168.
21
Suppose -22 - 34 = -4*j. Calculate the highest co | {
"pile_set_name": "DM Mathematics"
} |
3) to base 8.
-633661
What is -1044404101 (base 5) in base 8?
-10734437
5030664 (base 7) to base 16
9174c
What is 127811 (base 14) in base 3?
1012021200002
What is 23303032 (base 4) in base 2?
1011110011001110
Convert -10221022011221 (base 3) to base 11.
-11aa029
What is -2204513 (base 6) in base 12?
-53739
Convert -310168 (base 12) to base 5.
-144024311
Convert -90a02 (base 11) to base 5.
-13223411
Convert 132403 (base 6) to base 5.
342433
Convert 6b621a (base 15) to base 2.
10011100101011000011010
What is 204276 (base 10) in base 5?
23014101
Convert -c643ca (base 14) to base 10.
-6696126
102011201022 (base 3) to base 2
110101101100101110
What is -1d83b7 (base 14) in base 5?
-232404213
What is aaa7 (base 16) in base 15?
ce27
20011100111 (base 3) to base 10
121270
-302044142 (base 5) to base 10
-1206172
What is 3aa22 (base 14) in base 11?
99776
1112120111220 (base 3) to base 7
6645516
2562d (base 16) to base 13
54916
Convert -2212222120110 (base 3) to base 12.
-620356
Convert -331303211 (base 4) to base 11.
-163223
Convert 256278 (base 15) to base 3.
10101002002212
What is -14bbc1 (base 14) in base 2?
-10110000110000011101
20202221100 (base 3) to base 11
91219
Convert 1010000101100101 (base 2) to base 14.
110b3
-95323 (base 13) to base 7
-2166001
-4974b5 (base 12) to base 2
-100100011101100001001
Convert -d87115 (base 14) to base 15.
-998678
Convert 5a532a (base 11) to base 6.
32314255
Convert 24ca7d (base 15) to base 8.
6565426
What is 535380 (base 11) in base 12?
353650
What is 2663b (base 12) in base 15?
1096b
-44562050 (base 7) to base 8
-16572572
-21012012010102 (base 3) to base 12
-1343b3b
c4c919 (base 15) to base 6
532321553
-133781 (base 11) to base 14
-566d1
Convert 302123101 (base 4) to base 2.
110010011011010001
What is -a4961 (base 13) in base 9?
-501026
Convert 61479b (base 16) to base 9.
12886262
Convert 4022400 (base 6) to base 11.
11a659
Convert -40460 (base 10) to base 8.
-117014
102552515 (base 6) to base 8
6740437
What is 72baa (base 15) in base 6?
11444024
What is -510597 (base 15) in base 6?
-214254211
Convert -12d3dc (base 15) to base 5.
-212433012
Convert 195047 (base 11) to base 2.
1001001001000000110
-22145450 (base 6) to base 11
-416476
Convert -c523da (base 15) to base 9.
-18565617
What is 410207 (base 8) in base 2?
100001000010000111
-26309c (base 14) to base 11
-818683
Convert -4db163 (base 15) to base 16.
-38f64c
-1135534 (base 8) to base 13
-ab1c6
What is -465146 (base 12) in base 7?
-12410220
What is -36562 (base 14) in base 9?
-222121
Convert -1f581 (base 16) to base 13.
-4658a
What is 603554 (base 7) in base 11?
6a829
What is -262613 (base 8) in base 7?
-530566
-494458 (base 13) to base 5
-422024013
12030136 (base 7) to base 13
2b4353
-300555 (base 11) to base 8
-1660752
-43241164 (base 7) to base 12
-129ba47
Convert 1113131202 (base 4) to base 2.
1010111011101100010
Convert 324502130 (base 6) to base 9.
11857000
Convert -1a518cb (base 13) to base 14.
-1221792
2732a47 (base 12) to base 10
7780951
What is 22220010101 (base 3) in base 5?
21100201
5700351 (base 8) to base 14
2c14b7
-224153210 (base 6) to base 12
-1468806
3120303310 (base 4) to base 10
888052
Convert -692337 (base 10) to base 13.
-1b3189
Convert 121201103213 (base 4) to base 7.
110602304
Convert -112320053 (base 6) to base 3.
-10220121121020
Convert -334111003 (base 5) to base 14.
-2a495a
Convert 35450514 (base 6) to base 3.
2002102211001
-2049033 (base 12) to base 8
-27120347
138487 (base 10) to base 12
68187
What is -101111011101110010101 (base 2) in base 7?
-16135355
Convert 145361206 (base 7) to base 4.
211003031230
What is -5587d (base 16) in base 6?
-11301525
What is -814e (base 15) in base 16?
-6aa3
Convert 10120221012 (base 3) to base 12.
34a88
What is 10011011100001011101 (base 2) in base 3?
1012100211101
What is -6324 (base 14) in base 10?
-17084
What is 101120021000112 (base 3) in base 6?
320202152
Convert -113310233212 (base 4) to base 12.
-211225a
Convert 126b326 (base 12) to base 8.
15655016
What is 8cb35 (base 13) in base 7?
2116362
What is 1001111011010001 (base 2) in base 14?
10b61
What is 1001011001011101000 (base 2) in base 7?
2421540
Convert 10021122020101 (base 3) to base 14.
335b53
What is 27cc0 (base 14) in base 6?
2040144
Convert 1110111011000011 (base 2) to base 13.
21a8a
What is 1359925 (base 10) in base 2?
101001100000000110101
What is -1100110001111110110000 (base 2) in base 13?
-90401a
What is db865d (base 14) in base 8?
34276273
What is 1336623 (base 7) in base 14?
48a4a
1202303 (base 4) to base 6
45135
What is -73352c (base 13) in base 12?
-a99ba8
What is -320412453 (base 6) in base 15?
-7639d9
Convert -6778c (base 13) to base 3.
-100112221121
Convert 12888154 (base 9) to base 16.
614cf5
What is 1011110101101110 (base 2) in base 14?
1395c
1a4fd (base 16) to base 9
173747
What is -236209 (base 11) in base 13?
-101475
What is 101102132021 (base 4) in base 13?
c28b26
-225101 (base 7) to base 11
-28209
3104100 (base 6) to base 4
210102210
What is 1210101223 (base 4) in base 9?
685367
What is -15e0c3 (base 16) in base 5?
-331340140
What is -cd51 (base 16) in base 14?
-15225
What is 517e8 (base 16) in base 15?
68d85
5548211 (base 9) to base 5
1231002243
What is -114674 (base 13) in base 9?
-684058
Convert -1586c5 (base 16) to base 10.
-1410757
Convert 401b1 (base 16) to base 6.
5343345
Convert 1413793 (base 10) to base 2.
101011001001010100001
What is 657685 (base 9) in base 4?
1133320331
What is 735504 (base 8) in base 5?
30311143
Convert -1223333322 (base 4) to base 10.
-442362
Convert 3410020 (base 5) to base 7.
336646
10212000121 (base 3) to base 11
51a79
Convert 434945 (base 12) to base 15.
160bd2
Convert 7d90e2 (base 15) to base 13.
1322c81
What is -10120012210000 (base 3) in base 10?
-1893780
Convert 12010 (base 10) to base 5.
341020
100010001001001101111110 (base 2) to base 14
128dc86
-10222011110102 (base 3) to base 12
-858818
What is 21313023110 (base 4) in base 3?
11212100100212
35723404 (base 9) to base 2
1000010100000100111010100
Convert 5c1855 (base 13) to base 6.
115114120
Convert 111001010110010111110 (base 2) to base 4.
13022302332
What is -2213429 (base 10) in base 14?
-418901
What is -1144 (base 13) in base 10?
-2422
Convert -515d01 (base 14) to base 8.
-12356775
-101100011101000100011111 (base 2) to base 4
-230131010133
-678ab1 (base 12) to base 11
-a2a36a
Convert 12241014223 (base 5) to base 13.
30a7608
Convert 100102202200212 (base 3) to base 14.
947679
What is -bde7 (base 15) in base 11?
-28287
Convert -102120122222222 (base 3) to base 5.
-3033413332
Convert -2320413213 (base 5) to base 15.
-6d9e23
Convert -10012222001020 (base 3) to base 11.
-a6a054
Convert -433642 (base 8) to base 15.
-2d0c9
-aba431 (base 14) to base 2
-10110001111000111011011
Convert 11122012011 (base 3) to base 16.
16480
Convert 16611315 (base 8) to base 14.
72ac33
-a113a (base 13) to base 6
-10101241
Convert 104213214 (base 6) to base 13.
50c5b1
What is 2838a6 (base 13) in base 14?
1b6b97
Convert 220111012022 (base 3) to base 2.
1110101101011011100
Convert -13b46 (base 16) to base 12.
-3a85a
What is -121101325 (base 6) in base 7?
-25333544
What is -4c4c02 (base 13) in base 15?
-264c17
What is 17006300 (base 8) in base 4?
33000303000
-b4842 (base 15) to base 14
-10c781
Convert b02294 (base 12) to base 14.
514ca4
What is 111030112102 (base 4) in base 8?
25142622
Convert 1cc600 (base 13) to base 9.
1350011
11000000101001 (base 2) to base 6
133025
3100302 (base 8) to base 12
33622a
11101221012 (base 3) to base 2
10101001010101110
Convert -556223 (base 7) to base 6.
-2034405
Convert -8296 (base 13) to base 7.
-103405
10122020022 (base 3) to base 5
4242422
What is -1120331320 (base 4) in base 14?
-96b32
Convert -4ae00 (base 16) to base 4.
-1022320000
-261313 (base 10) to base 7
-2135563
What is -111130002 (base 4) in base 5?
-10302220
-308ac7 (base 15) to base 6
-121243054
102004422 (base 6) to base 5
423231300
Convert 4316542 (base 7) to base 5.
113311001
Convert -10447104 (base 8) to base 2.
-1000100100111001000100
-1173133 (base 10) to base 8
-4363215
What is 11000011000011110011 (base 2) in base 11?
4a6300
Convert 103919 (base 13) to base 5.
44120202
10422073 (base 8) to base 7
25006215
-10143224044 (base 5) to base 16
-a0940 | {
"pile_set_name": "DM Mathematics"
} |
z be 1988/6 + (-28)/21. Suppose 4*c - z = -2*c. What is the tens digit of c?
5
Let v(m) = m**3 + 2*m**2 + 6*m. Let c be v(-4). Let g = c + 94. What is the tens digit of g?
3
Suppose 1 + 14 = 5*p. Suppose 2*x = -p*x, v - 136 = -3*x. What is the tens digit of v?
3
Let n = -147 + 502. What is the units digit of n?
5
Let q(d) = -d**3 - 18*d**2 + 19*d + 4. Let x be q(-19). Suppose 5 = x*s - 103. What is the tens digit of s?
2
Let a(m) = -m**2 + 7*m - 2. Let x be a(6). Suppose x*n + 2*p - 326 = 0, -n + 3*p + 83 = -16. What is the tens digit of n?
8
Suppose -36 - 9 = -3*h - 3*y, 0 = h + 2*y - 15. Let l = h + -11. Suppose -l*p = -3*o - 48, -6*o + 4*o = -3*p + 35. What is the units digit of p?
9
Suppose -1 = 4*j + 3, 0 = 3*v + 2*j - 412. Suppose -4*b - v = -342. What is the tens digit of b?
5
Let j be (-4)/(-3) + 4/(-3). Let s be (-10 + 21)/(1 + j). Suppose 1 = 2*u - s. What is the units digit of u?
6
What is the thousands digit of (-13701)/(-10) + 31/(-310)?
1
Suppose -3*o + 1 = -2*m - 9, 17 = 5*m + 3*o. What is the units digit of 11 - (m/6 - (-5)/(-30))?
1
Let p = 21 - 17. Suppose -b + 3 = 7, 0 = -p*f - b + 524. What is the tens digit of f?
3
Let s = 1 + 6. Suppose -4*v - s + 259 = 0. Let z = -26 + v. What is the units digit of z?
7
Let z(u) = -14*u + 119. What is the units digit of z(-11)?
3
Let d = 9 + -4. Suppose 0 = d*x - 10*x + 230. Suppose 5*n + w - 73 = -w, w = 3*n - x. What is the tens digit of n?
1
Let q(o) = -2*o**2 + 4 + 6 - 3 - 3 + 3*o. Let d be q(-4). Let j = -24 - d. What is the units digit of j?
6
Let z(q) = 34*q - 85. What is the hundreds digit of z(11)?
2
What is the tens digit of 42 - 1 - (-32 + 27)?
4
Suppose 0 = -6*y - y - 798. Let x = -63 - y. What is the tens digit of x?
5
Let l(g) be the third derivative of -g**6/120 - 7*g**5/60 - 2*g**4/3 - g**3/2 + 27*g**2. What is the tens digit of l(-8)?
8
Suppose 0 = 5*l + 5 - 15. Suppose 0 = -4*g + l*x + 424, -2*x = -4*x. What is the tens digit of g?
0
Let i = -898 + 1520. What is the hundreds digit of i?
6
Let g be -2 + (6 - 2 - -91). Suppose -3*b + g = -60. What is the units digit of b?
1
What is the tens digit of 188 - (5 - 4)*1?
8
Let n be (-6)/8 + 18129/12. Suppose -m = 9*m - n. What is the hundreds digit of m?
1
Let x be (36/(-54))/((-4)/30). Suppose -28*l = -33*l + x. What is the units digit of l?
1
Let p(q) = 254*q + 30. What is the units digit of p(5)?
0
Suppose -10149 = -13*k + 849. What is the hundreds digit of k?
8
Let n(q) = q**2 + 4*q + 19. Let y(b) = -b**2 - 4*b - 18. Let o(l) = -5*n(l) - 6*y(l). What is the units digit of o(-11)?
0
Let f(d) = -d**2 + 8*d + 2. Let o(s) = 6*s**3 - s**2 + 3*s - 2. Let p be o(1). What is the tens digit of f(p)?
1
Let j = 795 + -375. Suppose 4*z + j = -3*z. What is the tens digit of 2/((1 + -3)/z)?
6
Let r = -20 - -18. Let u(j) = -5*j**2 - j + 2. Let o be u(r). What is the units digit of o/(-5) - 2/10?
3
Suppose 2*n - 3*h - 36 = 0, 0*n + 5*h + 85 = 5*n. Suppose -6 = -3*z + n. Suppose -46 = z*p - 445. What is the units digit of p?
7
Let p = -6 - -6. Let l = 8 + -2. Suppose l*i - 7*i + 24 = p. What is the tens digit of i?
2
Let o = 1928 - 180. What is the units digit of o?
8
What is the units digit of (-93*(-2)/12)/(2/4)?
1
Let f(r) = 8*r - 6. Let j be -8 + 9 - (-1 - 3). Let l be f(j). Let p = l - 11. What is the tens digit of p?
2
Suppose 0 = 4*l - s - 1004, -5*l - 3*s = -259 - 996. What is the hundreds digit of l?
2
Let g be ((-224)/120)/14 - 43/15. What is the hundreds digit of (g/(-2))/(5/(-1890)*-3)?
1
Let a(m) = 12*m**2 - 7*m - 11. What is the tens digit of a(4)?
5
Suppose -t + 5 = -0*t. What is the hundreds digit of 18*-2*t/((-30)/28)?
1
Suppose 15*v + 268 = 1858. Let q = v - -151. What is the hundreds digit of q?
2
Let o be (0 + 0)/(-1 - 0). Suppose o = -l + 5 - 0. Suppose 5*s + p - 82 = -3*p, -2*p = -l*s + 94. What is the tens digit of s?
1
Let j(x) be the second derivative of x**5/20 - x**4/4 - 5*x**3/6 + 3*x**2 + 17*x. What is the tens digit of j(5)?
3
Let v(f) = -428*f + 22. What is the units digit of v(-4)?
4
Let v(g) = 0 + 4*g - 18*g - 5 - 8. What is the tens digit of v(-4)?
4
Suppose 11*y - 2860 = -9*y. Suppose 142*v - y*v = -99. What is the tens digit of v?
9
Suppose 127 = j - v, -5*j + 0*v - 2*v + 621 = 0. Suppose -h + j = 28. What is the tens digit of h?
9
Let a(n) = -n + 8. Let y be (-9)/(-15) + (-51)/(-15). Let z = y + -4. What is the units digit of a(z)?
8
Let s(j) = -j**3 + 3*j**2 - 1. Let z be s(2). Suppose z*l = 107 + 73. Suppose 2*n + 4*m - 26 - 4 = 0, l = 4*n - m. What is the tens digit of n?
1
Suppose 70 + 56 = 7*n. What is the tens digit of (-6)/4*((-546)/n - -5)?
3
Suppose 3*m + 2805 = 18*m. Suppose -5*l + 325 = 5*d, 3*l - 5*d - m = -0*d. What is the tens digit of l?
6
Suppose 8 = -2*t - 0*x + 3*x, -2*x = 4. Suppose -2*o + 7*o = -5. Let p = o - t. What is the units digit of p?
6
Suppose -154*x = -146*x - 5168. What is the tens digit of x?
4
Suppose 3*y + 7 = 2*n - 36, 5*n - 45 = -5*y. Let m = 1 + -1. Suppose -8*h + 9*h - n = m. What is the tens digit of h?
1
What is the thousands digit of (68 + -65)*(0 - -334)?
1
Let l = -25 + 30. Suppose l*w - 36 = -11. What is the units digit of w?
5
Let x(c) = -5*c**3 - 10*c**2 - 11*c + 12. What is the hundreds digit of x(-6)?
7
Let n(p) = p**3 + p**2 - 3*p - 1. Let m be n(-2). Let u be -3 + (2 - m) + -4. What is the units digit of u/(-3) - -1 - -7?
0
Let q(c) = 3*c**2 - 5*c - 6. What is the units digit of q(11)?
2
Let g(b) = -26*b + 7. Let t = 17 + -22. Let l be g(t). Suppose -4*n + l = 1. What is the units digit of n?
4
What is the thousands digit of (8*15/32)/(3/3348)?
4
Suppose -2*f + 5*u + 65 = 0, 4*f - 3*u = -35 + 172. Suppose -3*r - f = -146. What is the tens digit of r?
3
Let m be 9*(-2)/(-6) + (2 - -470). Let j = m + -281. What is the units digit of j?
4
Let f be (-6)/90*-10*(4 - 1). Suppose -5*g + 966 = n - f*n, 8 = 2*n. What is the units digit of g?
4
Let u(d) = -d**3 + 5*d**2 + 10*d - 4. Let h be (1/4)/(4/80). Let b = h - 0. What is the units digit of u(b)?
6
Let u = 3447 - 1988. What is the hundreds digit of u?
4
Let o = -70 - -204. What is the units digit of o?
4
Suppose -12*s = -10*s. Suppose s = -5*r + 5*i - 245, 0*r + r + 4*i = -59. Let w = r - -100. What is the units digit of w?
9
Let p(c) = -31*c + 1. Let l be p(1). Let f be 140/6 - 22/(-33). What is the units digit of (-16 + 0)*l/f?
0
Let w(y) = y**3 + 4*y**2 - 13*y - 6. Let g be w(-6). Suppose 4*i + 2*i - 1626 = g. What is the tens digit of i?
7
Suppose -5*k = -3 - 7. Suppose -k*g = -0*g + 8. Let b = g - -18. What is the tens digit of b?
1
Let m(x) = x**2 - 4*x - 8. Suppose 4*a - 40 = -5*z - 6, -3*z = 5*a - 23. Let w(u) = -u**3 + 7*u**2 - 5*u. Let h be w(z). What is the units digit of m(h)?
4
Suppose 0 = -4*z - 5*s - 10, 0 = -4*s - 8. Suppose z = -w - w - 8, -2*j + 4*w = -536. What is the units digit of j?
0
Suppose 3 = d - 7. Suppose 5*u - 45 = d. Suppose -12*r = -u*r - 30. What is the tens digit of r?
3
Let q(o) = -12 + 3*o + 0 + 29. Let b be q(-5). Suppose -4*l = 3*t - 120, 2*l + b*l + 2*t - 120 = 0. What is the units digit of l?
0
Suppose a - 12*a = -66. Suppose -5*s = -4*f - 824, -2*s - a*f + 348 = -3*f. What is the hundreds digit of s?
1
Let g(a) = 2*a + 78. Let m be g(0). Let x = -32 + m. Let u = x + -16. What is the tens digit of u?
3
Suppose 14 = 4*y + 3*k, -6*y + 3*y = 5*k - 5. Let t be y/(-15) + (-85)/(-3). Suppose -242 = -5*g + t. What is the units digit of g?
4
Suppose 8*w = -14 - 2. Let i(t) = -5*t**3 - t + 4. What is the tens digit of i(w)?
4
Suppose 3*x = 0, 4*g - 6 = -4*x + 6. Suppose -4*l = -g*r - 212, 3*l - 120 = l + 5*r. What is the tens digit of l?
5
Suppose -3*g + 0*g = -561. Suppose 3*h - 98 = g. Let l = h - 66. What is the tens digit of l?
2
Suppose -6*c = -13088 - 7654. What is the thousands digit of c?
3
Let y(v) be the second derivative of 2*v**4/3 - v**3/3 - v**2 + 11*v. What is the units digit of y(-4)?
4
Let m = 170 + -330. What is the units digit of (27/12)/((-15)/m)?
4
Suppose -t - 22 = -82. Let c = -2 + t. What is the units digit of c?
8
Let m be ((-14)/(-4) - 4)*34. What is the tens digit of (m/(-2))/(9/54)?
5
Let s(a) = a - 9. Let z be s(12). Suppose -5*f = -z*f - 12. Let l(v) = v**3 - 6*v**2 + 2*v - 2. What is the tens digit of l(f)?
1
Suppose 16 = 4*u + 8. Suppose u*h = | {
"pile_set_name": "DM Mathematics"
} |
3 + k*r**2 and give k.
-5
Express 17477*z**3 + z**4 + 17905*z**3 - 31141*z**3 + (0*z - z + 2*z)*(0*z**3 - 4*z**3 + z**3) in the form j + p*z**2 + h*z + t*z**4 + v*z**3 and give v.
4241
Express 177 - 20*k - 109 + 3*k**2 - 49 + (-9 + 9 + 4*k)*(-5*k + 2*k + 5*k) in the form b*k**2 + v*k + l and give v.
-20
Express (968*c - 4431*c - 701*c)*(-2*c + 1 - 1) as h*c**2 + z*c + t and give t.
0
Rearrange -58*v**3 - 123*v**2 + v + 64*v**3 + 272*v**2 to the form i + s*v**3 + a*v + r*v**2 and give r.
149
Rearrange -367 - 46678*g**2 - 246 - 30 + 46669*g**2 to l*g + n*g**2 + j and give n.
-9
Express -883*f + 894*f + 6 - 11 - 4 in the form l*f + r and give l.
11
Rearrange (157*t + 148*t - 742*t)*(4 - t - 4) + (-2 + 2 + t)*(t + t + t) to a + d*t**2 + g*t and give d.
440
Express 71*n**3 + 0 - 2276*n + 0 + n**4 + 58*n**3 - 130*n**3 as m*n + u*n**2 + r*n**4 + v*n**3 + i and give r.
1
Express 607*s**2 - 5*s**3 - 605*s**2 - s**3 + 56*s**4 as o*s**3 + t + c*s**2 + w*s + n*s**4 and give c.
2
Express -12*c**2 - 1047 + 1029 - 73*c**2 - 120*c**2 as f*c + v*c**2 + u and give u.
-18
Express 1102*w - 2 + 5*w**4 - 3*w**4 - 2217*w + 17*w**2 + 1111*w in the form x + j*w**3 + d*w + p*w**4 + h*w**2 and give x.
-2
Express -458*w**3 + 0*w**2 - 11 - 2*w**2 - 2 + 518*w**3 as f*w**3 + g*w**2 + v*w + c and give f.
60
Rearrange 1224*p**2 - 2815*p**2 + 1359*p**2 to v*p**2 + h*p + z and give v.
-232
Rearrange (187 + 206 - 5)*(0*t**2 + 0*t**2 - 2*t**3)*(3*t - t + t)*(1 + 1 + 0) to c*t**2 + o*t**4 + b*t + s*t**3 + l and give o.
-4656
Rearrange (-2 - 479*o + 1508*o - 451*o)*(-2 + 5 + 1) to the form t + r*o and give r.
2312
Express -4*w**2 - 9*w**3 - w - 8*w**3 - 9 + 7 - 3*w**3 as m*w**2 + b*w**3 + l + f*w and give m.
-4
Express (44*v**2 - 24*v**2 + 32*v**2)*(2*v**2 - 16*v + 10*v - 4*v) in the form k*v**4 + t*v + w + p*v**2 + n*v**3 and give n.
-520
Rearrange f**3 + 3*f - 3*f + (2591*f - 1596*f**3 - 2591*f)*(0 + 0 + 2) + (3*f + 2*f - 3*f)*(f + f**2 - f) to x + t*f**2 + h*f + j*f**3 and give x.
0
Rearrange 0 - t**2 - 2*t**3 + 0 + (4*t**2 + 0 + 0)*(-1654*t - 1 + 1693*t + 2) to y*t + n*t**3 + f + m*t**2 and give n.
154
Express -5*i - 14 + i**4 - 2 + 7449*i**3 - 7448*i**3 - 9*i**2 in the form f*i**3 + l*i**4 + y*i + k*i**2 + b and give k.
-9
Express (-1 - 4 + 3)*(-77 + 155 - 77)*(2 - 3 - 2)*(2*f + 0 + 0) as a*f + n and give n.
0
Express 1731*i + 20 - 9 - 31*i - 11 as l + k*i and give k.
1700
Express -93 + n + 4*n**4 + 2*n**2 + 2*n**3 - 63 - 3*n**2 + 135 as i*n**3 + w*n**2 + t + o*n + a*n**4 and give t.
-21
Rearrange -366 + 170 + 197 + 22*i + 43*i**4 to q*i**2 + c + u*i**3 + a*i + o*i**4 and give q.
0
Rearrange -58 - 5 + 13010*d - 12984*d to the form j*d + y and give j.
26
Express (-4 + 4 - 1)*(3*g**3 - 155*g**4 + 29*g**3 - 33*g**3) + (0*g**3 + g**3 - 3*g**3)*(-g + 0*g - 7*g) as b*g**3 + s*g**4 + k*g + r*g**2 + y and give b.
1
Express -50 + 148 - 42 - 56 - 8485*z**2 as k*z + n + f*z**2 and give n.
0
Express (-65 + 3369*f**2 + 65 + 452*f**2)*(1 - 5 + 0) in the form y*f + n*f**2 + i and give i.
0
Rearrange -16723 + 8366 + 6070*a + 8357 to b*a + r and give b.
6070
Express -43*d**4 + 37*d**4 + 2*d**3 + 10*d**4 - 10*d**2 as z*d**2 + f*d**4 + r*d + t + l*d**3 and give z.
-10
Rearrange 10665*x**2 - 13*x - 3073*x**2 + 13*x to the form z*x**2 + h + q*x and give z.
7592
Express (0 - 1 + 2)*(-22093 - 23*z + 22093)*(-4 + 3 - 2) in the form v*z + i and give v.
69
Rearrange -3*v + 1177 + 2*v - 542 - 1991 to h*v + l and give h.
-1
Express -25*y**3 + 3*y**2 + 51*y**3 - 31*y**3 + 156*y in the form o*y**3 + n*y**2 + c*y + q and give o.
-5
Express 2830 + 2816 + 2780 - 8488 - 9*f in the form h*f + c and give c.
-62
Rearrange 417*a**2 + 410*a**2 + 84*a**3 - 2*a**4 + a - 2 + 1 + 410*a**2 - 1236*a**2 to the form z*a + l + m*a**2 + g*a**3 + n*a**4 and give g.
84
Rearrange (-12 + 165 - 13)*(2*x - 6*x + 6*x) - 2 + x + 3 - 3*x to the form q + w*x and give q.
1
Rearrange 388*h + 170*h - 2351*h - 1600*h - 517*h to the form a + n*h and give n.
-3910
Express (-3*c**4 + 2*c**4 - 33*c**4)*(52 - 191 - 215) as r*c**2 + p + h*c + y*c**3 + d*c**4 and give d.
12036
Rearrange (1722*l - 9 + 7 + 1135*l)*(-2*l**2 + 4*l**2 + 5*l**2) to r*l**3 + n + o*l**2 + s*l and give r.
19999
Rearrange -35421 - 35421 + 70842 + 2559*s**2 to t*s**2 + g*s + d and give t.
2559
Express -945*x**2 + 62*x**3 - 12569*x + 12569*x - 60*x**3 as f*x**2 + y + o*x + r*x**3 and give f.
-945
Express (-713*j - 16*j**4 + 713*j)*(150 - 47 - 652) as a*j**3 + i + n*j**4 + t*j**2 + k*j and give n.
8784
Rearrange -2*f**2 + 0*f**2 + 4*f**2 + (-5 + 0 + 8)*(3 - 45 + 16 + f**2 - 2*f) to the form q + y*f**2 + d*f and give d.
-6
Rearrange -1280*m - 196 + 618*m + 669*m to the form h + q*m and give q.
7
Express (331 - 331 - 18*l)*(14 + 21 + 6)*(-2 - 2 + 1)*(-4 + 4 - 1) in the form s*l + g and give s.
-2214
Rearrange 2*y + 21*y + 15 - 19 + (3*y - 5*y + 3*y)*(7 + 9 + 1) - 2*y - 3*y + 7*y to s*y + a and give s.
42
Express 32044*m - 2*m**2 + 2*m**3 + 4674 - 64085*m + 32040*m as h + q*m + b*m**2 + r*m**3 and give r.
2
Express ((-26 - 243 + 50)*(-4 + 4 + 4) - 1 + 5 - 1)*(3*r**2 - 2*r**2 + 1 + 2*r**2) as g + a*r**2 + q*r and give g.
-873
Express 2225 - g - 2223 - g**3 - 13*g**2 + 180*g**4 + 15*g**2 as h*g**3 + v + c*g**4 + y*g + p*g**2 and give c.
180
Express -3010*g**4 - 52 + 16*g**2 + 3*g - 2982*g**4 + 5993*g**4 in the form q + f*g**3 + s*g + a*g**2 + k*g**4 and give q.
-52
Express 53*k**2 + 9*k**2 - 68*k**2 + 2 + 2*k + (-2 + 2 + 1)*(10*k**2 + 6*k**2 + 0*k**2) as m*k + x*k**2 + w and give m.
2
Express 2*v - 6*v + 0*v + (1 - 1 - 2)*(1 + v - 1) + 2*v - 3*v - v - 18 + 10*v + 18 - 21*v + 14*v + 15*v + 5 in the form t + r*v and give r.
10
Express 4*k**3 + 69*k**2 - 22*k**2 - 2*k - 2 + k - 46*k**2 as s*k**2 + i + y*k + q*k**3 and give i.
-2
Rearrange 14133*n - 3649*n - 41886*n to r + w*n and give w.
-31402
Express (-2 + 2 - 2*n)*(5 + 2 - 5 - 1 + 4 - 2 + 1 + 1 - 3 + (3 + 2 - 6)*(1 + 2 - 2) + 7 - 18 - 10)*(-1 + 1 - 4)*(8 - 3 - 2) as f*n + i and give f.
-480
Rearrange (-22*h**3 - 19*h**3 + 26*h**3)*(-1609*h - 710*h + 2536 - 2534) to the form x + l*h + z*h**3 + i*h**4 + t*h**2 and give l.
0
Express -4165*t**3 - 4142*t**3 + 8*t + 8*t**2 + 11 + 8305*t**3 as w*t + y*t**2 + r*t**3 + p and give r.
-2
Rearrange (0*t - 2*t - t)*(1 - 6 + 0)*(0*t - 3*t - t)*(2*t - 4*t + t) + 3 - 13*t**3 + 7076*t - 7076*t to r + v*t**3 + y*t + q*t**2 and give v.
47
Express (n - 3*n - 4*n)*(91 + 89 - 200 + (5 - 1 - 3)*(0 - 1 + 2)) + n + 3*n - 5*n as a + p*n and give p.
113
Rearrange 1870*r - 1870*r - 268*r**3 + (7 + 24 - 12)*(1 + 0 - 2)*(6*r**3 + 7*r**3 + 0*r**3) to the form n + v*r**3 + q*r + h*r**2 and give v.
-515
Rearrange 199*j**3 - 393*j**3 - 46*j + 192*j**3 + 18*j**2 + 4 - 13*j**2 to s + y*j + t*j**3 + v*j**2 and give t.
-2
Express w - 3*w - 2*w + (2 + 4 - 2)*(3 + 4 - 3)*(-112*w + 486 - 486) as c + l*w and give l.
-1796
Rearrange 477 - 6*y**4 + 8*y**4 - 22*y**2 + y + 24*y**2 - 229 to m + s*y + i*y**4 + t*y**3 + c*y**2 and give s.
1
Express 9 - 38 - 50*q - 3 - 7 in the form l + r*q and give l.
-39
Express 211 - 10*t - 6*t + 17*t + 61 - 8*t in the form o + j*t and give j.
-7
Rearrange 141*r**3 + 71975*r**2 + 307*r**3 - 14 - 71976*r**2 to the form b*r + g + w*r**3 + o*r**2 and give o.
-1
Rearrange -892 - y**3 + 6*y - y**3 - 3*y**2 + 910 + y**2 to p + h*y**2 + r*y**3 + q*y and give q.
6
Rearrange -2*j**3 - 2*j**3 + j**3 + (0*j + j + 3*j)*(7*j**2 - 2*j**2 - 3*j**2) - 2024646 - 29*j**3 + 6*j + 2024646 to g*j**2 + v*j + r*j**3 + b and give r.
-24
Rearrange -7*u + 5 + 3677*u**2 - 2*u**3 - 3783*u**2 - 9 + 3*u to w + g*u**3 + i*u**2 + p*u and give g.
-2
Express (6137 + 5694 - 12686 + 4*h)*(0 + 0 - 4)*(1 - 6 + 3) in the form q*h + t and give t.
-6840
Express 5*l - 11*l - 44 - 52 - 38 + 70 in the form f + u*l and give u.
-6
Express 4044*n**2 - 80941 + 80941 as p + x*n + g*n**2 and give p.
0
Rearrange 509 - 2*k + 510 + 2*k**2 - 1023 + 2*k**4 to the form q*k**3 + o*k**2 + u*k + t + i*k**4 and give i.
2
Rearrange -5 - i - 2 - 46 + 55 - 4 - 1263*i**2 to d*i**2 + s*i + x and give s.
-1
Rearrange -6*a - 5*a + 2*a - 2649 + 7*a - 451 to the form r*a + s and give r.
-2
Express (-2*b + b + 3*b)*(3*b - 5*b + 4*b) - 2 + 8*b**2 + 2 + 48*b**2 - 4*b**2 - 238*b**2 in the form c*b + q*b**2 + v and give q.
-182
Rearrange (0*a**2 - a**2 + 0*a** | {
"pile_set_name": "DM Mathematics"
} |
(-2/93) assuming t is positive.
t**(3983/186)
Simplify ((o**(-5/3)/o**(-1/5))**43)**(-1/2) assuming o is positive.
o**(473/15)
Simplify (c*c**6/c)/(c*c*c/(c**(-3/13)/c))*c*c*c*(c/(c/c**(-12)*c)*c)/c*c*((c*c**(-21))/c)/c assuming c is positive.
c**(-380/13)
Simplify ((((y*y**0)/y)**(-8))**(-9))**3 assuming y is positive.
1
Simplify (((m**(3/5)/m)/m**3)**(-47))**18 assuming m is positive.
m**(14382/5)
Simplify j*j**15*j*j*j**(-3/11)*j*j/((j/(j**(-1)/j))/j)*j**(-5/4) assuming j is positive.
j**(725/44)
Simplify p**(2/19)/(p**5/p)*p**(3/4)*p**(2/33) assuming p is positive.
p**(-7735/2508)
Simplify ((n**(5/3)/n*n)/(n**(-38)*n*n*n*n))/(n**(2/5)*n/n**0) assuming n is positive.
n**(514/15)
Simplify ((f**3*f*f**(-1/5)*f)/(f**(-1/4)*f*f*f*f**2/f*f*f*f))**(-39) assuming f is positive.
f**(1521/20)
Simplify (z**(-3)/z)**5*z**(-1/2)/z*z**(7/4) assuming z is positive.
z**(-79/4)
Simplify b**(-9/4)/b*b**(-3/11)*b**(-2/3)*b/b**24 assuming b is positive.
b**(-3589/132)
Simplify (n**(-2/45)/n**(24/11))/(n**(-2/89)/n*(n*n*n**(4/3))/n) assuming n is positive.
n**(-155828/44055)
Simplify (m*m**(-3/22)*m**(1/2))/(m*m**(-3/2)/m)**14 assuming m is positive.
m**(246/11)
Simplify ((j**5/j**(-3))/(((j*(j**3/j)/j)/j)/j*j**6/j*j))**(-37) assuming j is positive.
j**(-74)
Simplify (z**10*z*z**(-2/11)/z*z)/(z/(z*z**(-5/7)*z))**(27/5) assuming z is positive.
z**(4759/385)
Simplify (w**(-1/6))**(-8/5)/(w**(3/5))**(-7/4) assuming w is positive.
w**(79/60)
Simplify m**3/m**(-15)*(m*m/m**(3/7))**(-1/12) assuming m is positive.
m**(1501/84)
Simplify (k*k*k**(-2)*k*k/(((k*k**(-1/6))/k)/k*k)*(k**(-2/5))**(-2/39))**48 assuming k is positive.
k**(6824/65)
Simplify (k**(4/5)*k)**44*(k**(-1/4))**(-10) assuming k is positive.
k**(817/10)
Simplify (((f*f**(-3/8))/f*f**(-1/6))/((f*f**(-2/9))/f**0))**(-28/9) assuming f is positive.
f**(665/162)
Simplify (r**(6/5))**46*(((r*(r/r**(-9/2)*r)/r)/r)/r)/(r**1*r) assuming r is positive.
r**(577/10)
Simplify (z**11/z**(-7))/((z*z**(-9/4))/z**(2/33)) assuming z is positive.
z**(2549/132)
Simplify ((u/(u/(u*u*u/u**0)))/(u**(-16/7)*u))/(u*u/u**(3/8))**(-6) assuming u is positive.
u**(393/28)
Simplify (c/c**(-4))**(18/7)/(c**(-1/8)*c/(c*(c*c*c*c/(c**(-2/19)/c))/c)) assuming c is positive.
c**(18181/1064)
Simplify ((h**(-1/17))**(-5/12))**(-1/23) assuming h is positive.
h**(-5/4692)
Simplify (f**2)**(-1/8)/(f*(((f*f/(f/f**(-1/4)*f*f)*f)/f)/f)/f*f*(f*f/f**(-15))/f*f) assuming f is positive.
f**(-16)
Simplify (p**(-3)/(p/(p/(p**3*p))))/((p*p**6)/(p*p*p**5/p)) assuming p is positive.
p**(-8)
Simplify c**5/(c*c*c**(-6))*c*c/c**(-3/20)*c*c**(-7/4) assuming c is positive.
c**(52/5)
Simplify (((((r/(r/r**(-15)))/r)/r*r*r)/r**(-1/13))**(-1/8))**(-2/5) assuming r is positive.
r**(-97/130)
Simplify (q*q**1)**(-1/27)*(q/q**(2/19))**23 assuming q is positive.
q**(10519/513)
Simplify (i**(-3/2))**(-1/2)/(i**(-11/2)/((i/(i*i/((i**14*i)/i)*i))/i)) assuming i is positive.
i**(69/4)
Simplify ((g/(g*g*g*g*g**(-6)*g*g))/g)**(-33)*g**0/((g*g**3)/g) assuming g is positive.
g**(-3)
Simplify (x**(-9)*x**(4/7)*x**(-1/2)*((x**(-1/5)/x)/x)/x*x)**(-4/11) assuming x is positive.
x**(1558/385)
Simplify (((j**(-15)/j)/j)/j**(-12/5))**32 assuming j is positive.
j**(-2336/5)
Simplify ((w/(w*w*(w*w**(-6)*w)/w)*w**(1/7)*w)/(w**1*(w/(w*w/((w/(w/w**(1/10)))/w)))/w*w))**(-36/11) assuming w is positive.
w**(-7614/385)
Simplify (m**(-5)/(((m*m/m**(2/9))/m)/m)*(m**(2/7)/m)**(-21))**(-2/21) assuming m is positive.
m**(-184/189)
Simplify (h*h**(-6))**(-34)*((h/h**3)/h)/(h*h**(-1/15)/h) assuming h is positive.
h**(2506/15)
Simplify (g/(g/(g/g**(-2/13))))**(4/23)/(g/(g*g**21*g)*g**6) assuming g is positive.
g**(4844/299)
Simplify h**(1/12)*h/(h*h**7)*h**(2/3)*h**(-21) assuming h is positive.
h**(-109/4)
Simplify z**(-1)*z*z*z/(z/(z/z**(10/9)))*z/(z**1/z)*z/(z**(-5/6)/z) assuming z is positive.
z**(85/18)
Simplify ((v**(-5)/v**(-1/10))/(v**7*(v*v**(-3)/v*v)/v))**(-2/3) assuming v is positive.
v**(89/15)
Simplify (z**6)**(3/11)/(z/(z*z**(-5)))**25 assuming z is positive.
z**(-1357/11)
Simplify c**(-27)/c**(-25)*c**(-2/13)*c/(c/(c*c/(c/(c*c*c/(c**(-21)*c)))*c)) assuming c is positive.
c**(297/13)
Simplify (o/(o/o**(-9/5)))**(1/2)*((o*o**(-3/25))/o)**(-2/127) assuming o is positive.
o**(-5703/6350)
Simplify (t**23)**(-5/3)*(t/t**5*t)/t*t/((t*(t*(t*t*t*t**(-29))/t)/t)/t) assuming t is positive.
t**(-43/3)
Simplify (o/o**(1/8))**24*(o**(-2/19)*o)**(-49) assuming o is positive.
o**(-434/19)
Simplify (i**0)**(2/5)/(i**(2/7))**(-33) assuming i is positive.
i**(66/7)
Simplify (n**(3/4)/n*n*n)**(4/19)/(n*n**(1/9)*n**(-3)/n) assuming n is positive.
n**(557/171)
Simplify ((t/(((t**(-14)*t)/t)/t)*(t**(-3)/t)/t)**(-23))**(-49) assuming t is positive.
t**12397
Simplify (q**(-5/2)*q/q**(-1/7))/(q*q*(q/(q*(q**(1/23)*q)/q))/q*q/q**(-31)) assuming q is positive.
q**(-11049/322)
Simplify (r**(-2/5))**44*r/(r*r**(6/7)*r)*(r/(r/(r**14*r)))/r*r*r assuming r is positive.
r**(-121/35)
Simplify (d/(d**(-2/11)/d)*d*d**(-2/29))/(d**5)**(4/13) assuming d is positive.
d**(6529/4147)
Simplify (((x/x**(2/9))**(-49))**(-3))**(-11/6) assuming x is positive.
x**(-3773/18)
Simplify (u**2*u**3*u**(2/5)/u*u/u**(-5))**(2/93) assuming u is positive.
u**(104/465)
Simplify (w/(w*w**(2/5)*w)*w*(w/((w/w**(-1/4))/w))/w)/(w*w**(2/5))**(-11/7) assuming w is positive.
w**(31/20)
Simplify (((l**16*l)/l)/l*l)/(l**(-12/7)*l*l)*(l*l*l*l**(-2/11))**(-47) assuming l is positive.
l**(-8989/77)
Simplify (i**(2/7))**(1/7)/(i**(1/4))**(2/9) assuming i is positive.
i**(-13/882)
Simplify (((k**0/k)/k)**(-17/6)/((k*k**(-1/3))/k**(-1/6)))**(2/17) assuming k is positive.
k**(29/51)
Simplify (s**(2/13)/s**8)/(s**6*s*(s*s/(s*s**(-3/2)))/s) assuming s is positive.
s**(-425/26)
Simplify (((i**1)**(-3/5))**(5/8))**31 assuming i is positive.
i**(-93/8)
Simplify (b**(2/25)*(b**(-23)*b)/b)**(-2/49) assuming b is positive.
b**(1146/1225)
Simplify h**(-5)/h*h/(h*h**(3/2))*(h/(h*h/(h*(((((h*h/(h**(4/5)*h))/h)/h)/h)/h)/h)))**(-5) assuming h is positive.
h**(33/2)
Simplify ((v*v**0)/v**(-5/2)*(v**(-1/2)*v)**(-2/31))**(-5/14) assuming v is positive.
v**(-1075/868)
Simplify ((f*f/(f*((f**(-1/2)/f)/f)/f))**(4/11)*((f/f**(-6/13)*f)/f)/((f*f/f**2*f)/f*f))**(1/55) assuming f is positive.
f**(60/1573)
Simplify ((a**(-2)*a)/(a**2/a))/(a**(2/9)*(a/a**27)/a) assuming a is positive.
a**(223/9)
Simplify ((b**27/b)/b)**(-3/43)/(b/((b/(((b*b*b/(b/b**(-1/10))*b*b)/b)/b))/b))**47 assuming b is positive.
b**(-59359/430)
Simplify (x/(x*x**(-1/10)*x*x*x*x)*x**24/x)**(-15) assuming x is positive.
x**(-573/2)
Simplify ((z/(z/(z*z*z*z**5))*z/z**(-5)*z)/(z**(2/3))**(-19/6))**14 assuming z is positive.
z**(2156/9)
Simplify (m*m/(((m*m/(m**(1/2)*m)*m*m)/m)/m*m))**35/(m**(4/7)*(m/(m/(m/((m**(-1/3)/m)/m))))/m) assuming m is positive.
m**(613/42)
Simplify h*h**(-14)*h*(h/h**(-12))/h*h*((h/h**1)/h)**(-15) assuming h is positive.
h**16
Simplify (m/(m**21/m))/(m**(-22)/m)*m**(-23)/m**(-2/55) assuming m is positive.
m**(-1043/55)
Simplify ((r**(2/5)/r)/r)**25/(r**(2/27)/r**(-1/8)) assuming r is positive.
r**(-8683/216)
Simplify (w**18/(w/w**(-10)))/((((w/(w*w**(-10))*w*w)/w)/w*w)/w*w**(-8)) assuming w is positive.
w**5
Simplify l/(l/(l*l/(l/(l/(l*l/(l*l**(1/6))))))*l)*((l*l*l*l**(5/2)/l*l)/l)/l*l*(l/((l/(l**(1/26)/l)*l*l*l)/l)*l)/l**(1/16) assuming l is positive.
l**(1649/624)
Simplify ((s**8*s*s*s**(-7/4))**(-19))**(-6) assuming s is positive.
s**(1881/2)
Simplify (f**(2/9)/f)**(-14/5)*f*(f*f*f/f**(-4/7))/f*f**(-3) assuming f is positive.
f**(866/315)
Simplify i/i**(-4/3)*i*i*(i/i**(-3/10))/i*((i*i*i**13*i*i*i)/i)/(i*i**19*i) assuming i is positive.
i**(19/30)
Simplify (z/z**6)**(-37)/(z**(-28)*z**(3/17)*z) assuming z is positive.
z**(3601/17)
Simplify (((g*g*g**(-2/31)*g)/g)/(g/(g**(6/7)*g)))**(16/7) assuming g is positive.
g**(9696/1519)
Simplify (w/(w*w**(-33))*w**14)/(w**(-18)*w)**(-46) assuming w is positive.
w**(-735)
Simplify (i**2/(i/i**(1/15)))/(i**2)**1 assuming i is positive.
i**(-14/15)
Simplify ((v**2)**(-31/2)*(v*v**(-2))/(v/(v*v**3*v)*v))**36 assuming v is positive.
v**(-1044)
Simplify ((((u/(u/((u/(u/(u**(-26/9)/u)))/u)))/u)/u)/u**9)/(u**(2/19))**39 assuming u is positive.
u**(-3419/171)
Simplify u*u**(3/17)*u*u*u**(2/15)*u*u/(u/(u/(u/(u*u**(-5/2)*u)*u)*u))*u**(1/12) assuming u is | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from ccllllll?
3/7
Two letters picked without replacement from {r: 1, z: 2, c: 1}. Give prob of picking 1 z and 1 r.
1/3
Three letters picked without replacement from fcfffcffdfffddcfcf. What is prob of picking 1 d and 2 c?
3/136
Three letters picked without replacement from {h: 4, j: 2, m: 7}. What is prob of picking 3 h?
2/143
Four letters picked without replacement from hofohooohhhhhhohkf. What is prob of picking 2 o and 2 f?
1/204
Four letters picked without replacement from {d: 2, m: 2, b: 1}. Give prob of picking 2 m and 2 d.
1/5
Two letters picked without replacement from aadddqqqdqq. Give prob of picking 1 d and 1 a.
8/55
Three letters picked without replacement from naobiabg. Give prob of picking 1 b, 1 i, and 1 n.
1/28
What is prob of picking 2 a when two letters picked without replacement from {j: 3, a: 4}?
2/7
What is prob of picking 1 h and 1 l when two letters picked without replacement from {g: 4, l: 3, q: 1, t: 1, h: 1, r: 2}?
1/22
What is prob of picking 1 y and 1 c when two letters picked without replacement from kcykkkwcq?
1/18
Calculate prob of picking 1 n and 1 w when two letters picked without replacement from dfwbndbvbwffvw.
3/91
What is prob of picking 3 q when three letters picked without replacement from {q: 4}?
1
Two letters picked without replacement from rssrs. What is prob of picking 1 s and 1 r?
3/5
Two letters picked without replacement from wwrwrr. Give prob of picking 2 w.
1/5
What is prob of picking 1 o and 1 m when two letters picked without replacement from momoomoomoomo?
20/39
Two letters picked without replacement from ieeedideeeiieeie. What is prob of picking 2 e?
3/10
Two letters picked without replacement from rcyyj. Give prob of picking 1 j and 1 r.
1/10
Four letters picked without replacement from {n: 1, y: 1, j: 4, h: 5, q: 1, l: 3}. Give prob of picking 1 q, 2 j, and 1 l.
6/455
Three letters picked without replacement from eedxeddteddddxetieee. What is prob of picking 1 d, 1 t, and 1 x?
7/285
What is prob of picking 2 c when two letters picked without replacement from ckeccekeceec?
5/33
What is prob of picking 1 q, 1 y, and 1 g when three letters picked without replacement from {r: 1, m: 5, y: 1, g: 1, q: 6, i: 6}?
1/190
Four letters picked without replacement from {w: 1, v: 1, u: 2, l: 1, m: 2}. Give prob of picking 1 v, 2 u, and 1 l.
1/35
What is prob of picking 1 n and 2 v when three letters picked without replacement from lvlnljlllvljjlnjlll?
2/969
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wsssxcwsk.
2/9
Calculate prob of picking 2 u and 1 j when three letters picked without replacement from lflxulxxflujulc.
3/455
Two letters picked without replacement from {x: 1, c: 5, f: 1, g: 4}. What is prob of picking 1 x and 1 c?
1/11
What is prob of picking 2 q and 2 f when four letters picked without replacement from {f: 2, q: 5}?
2/7
Two letters picked without replacement from {d: 2, x: 3, o: 3, k: 9, i: 2, h: 1}. Give prob of picking 1 k and 1 x.
27/190
Two letters picked without replacement from {h: 1, q: 1, w: 2, t: 1, p: 2, v: 2}. What is prob of picking 1 p and 1 q?
1/18
What is prob of picking 3 a and 1 f when four letters picked without replacement from {f: 5, j: 6, l: 4, b: 1, a: 4}?
4/969
Four letters picked without replacement from ciiicciciiciicccci. What is prob of picking 3 i and 1 c?
21/85
Two letters picked without replacement from {y: 5, w: 2}. What is prob of picking 1 w and 1 y?
10/21
Two letters picked without replacement from ffssss. What is prob of picking 2 f?
1/15
What is prob of picking 1 u, 1 b, 1 t, and 1 p when four letters picked without replacement from {t: 3, k: 1, u: 3, o: 1, p: 6, b: 1}?
18/455
Calculate prob of picking 3 e and 1 x when four letters picked without replacement from xdyye.
0
What is prob of picking 2 m and 1 x when three letters picked without replacement from xxmmcmmxcmcwxm?
15/91
Calculate prob of picking 2 m when two letters picked without replacement from jmwmjmmjmn.
2/9
Three letters picked without replacement from lrlrrrlrrrrrlrrlrrrr. Give prob of picking 2 r and 1 l.
35/76
What is prob of picking 2 k when two letters picked without replacement from {n: 1, q: 14, k: 2}?
1/136
Calculate prob of picking 4 y when four letters picked without replacement from yynnyyyynnnyyy.
18/143
Two letters picked without replacement from dbbsssr. What is prob of picking 1 d and 1 s?
1/7
Four letters picked without replacement from xuxwzuxxxvuxvxxwxux. Give prob of picking 2 x, 1 u, and 1 z.
15/323
What is prob of picking 1 m and 1 l when two letters picked without replacement from czcczccmwlcctc?
1/91
Four letters picked without replacement from urrrrgggrgrnr. Give prob of picking 2 g, 1 n, and 1 u.
6/715
Two letters picked without replacement from wwbcupppppupccwkkkc. Give prob of picking 1 k and 1 u.
2/57
What is prob of picking 1 j and 1 k when two letters picked without replacement from kfjkjf?
4/15
Three letters picked without replacement from svsszvzzvzv. Give prob of picking 2 z and 1 v.
8/55
Three letters picked without replacement from hxhhhhhhhhhhhhhxhhhh. What is prob of picking 1 x and 2 h?
51/190
Four letters picked without replacement from wtuwuauutdtww. What is prob of picking 1 t, 2 u, and 1 d?
18/715
Two letters picked without replacement from {h: 2, d: 4, f: 2, c: 2, n: 1, i: 3}. What is prob of picking 1 c and 1 d?
8/91
Calculate prob of picking 2 u, 1 q, and 1 w when four letters picked without replacement from {u: 3, q: 4, w: 4, l: 7}.
4/255
Two letters picked without replacement from {b: 2, g: 1, f: 1}. Give prob of picking 1 g and 1 f.
1/6
Three letters picked without replacement from {d: 7, u: 5, b: 3, v: 1}. What is prob of picking 1 v, 1 d, and 1 b?
3/80
Three letters picked without replacement from efppdpeeeefevpweff. Give prob of picking 1 p, 1 e, and 1 w.
7/204
Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, m: 2}.
2/5
What is prob of picking 3 g and 1 b when four letters picked without replacement from {c: 1, b: 1, g: 3}?
1/5
What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 1, j: 4, x: 1, q: 2, z: 3}?
2/55
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from hnehlehhonoonohn.
1/6
Two letters picked without replacement from {v: 8, a: 2}. Give prob of picking 2 v.
28/45
Calculate prob of picking 1 a, 2 y, and 1 f when four letters picked without replacement from arrrfrffyrrrryffrafr.
4/1615
Calculate prob of picking 1 w and 1 v when two letters picked without replacement from qcwqwov.
2/21
Two letters picked without replacement from ppppppps. Give prob of picking 2 s.
0
What is prob of picking 1 s, 1 j, and 1 f when three letters picked without replacement from ifjojfsff?
2/21
Calculate prob of picking 4 a when four letters picked without replacement from aeeaeeaaeeeaeaeaaaea.
14/323
Two letters picked without replacement from qqbbbqqblbr. Give prob of picking 2 b.
2/11
What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 3, p: 2, d: 2, g: 2}?
1/6
Three letters picked without replacement from vvvvvnn. What is prob of picking 1 n and 2 v?
4/7
Four letters picked without replacement from {y: 2, d: 2, x: 5}. What is prob of picking 2 d, 1 y, and 1 x?
5/63
What is prob of picking 1 p and 1 i when two letters picked without replacement from qqippjpiiq?
1/5
What is prob of picking 1 h and 1 m when two letters picked without replacement from hmmmmmmmmhmmmmmmhmh?
20/57
Two letters picked without replacement from {e: 1, f: 4, o: 1, v: 6, j: 6}. Give prob of picking 1 f and 1 v.
8/51
Four letters picked without replacement from {s: 4, q: 4, v: 4, n: 1, p: 1, y: 4}. Give prob of picking 1 p, 1 n, and 2 s.
1/510
What is prob of picking 1 g, 1 s, and 2 m when four letters picked without replacement from mmsgmsiomoo?
2/55
Three letters picked without replacement from {z: 5, x: 7}. What is prob of picking 1 x and 2 z?
7/22
Calculate prob of picking 2 p when two letters picked without replacement from ppzpqwppqwpzpp.
4/13
What is prob of picking 2 u when two letters picked without replacement from uwptuittcwucucu?
2/21
Three letters pic | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(7) + 2)) + (-1 + (sqrt(7) - sqrt(336)/sqrt(3)))**2 + 4).
-345 - 35*sqrt(7)
Simplify 3*((-1*sqrt(684)*-1)**2 - (-2*sqrt(684) + -3)) - (-2 + sqrt(684) + 1 + 2)*3.
18*sqrt(19) + 2058
Simplify (4*-2*5*(1 + sqrt(468) + -1 + sqrt(468) - sqrt(468) - (-4 + 0 + sqrt(468)))*-5)**2.
640000
Simplify (1*(sqrt(275) + 2*4*sqrt(275) + -5 + sqrt(275) + sqrt(275) + 0 + -5 + (sqrt(275) - (sqrt(275) + -2))*1))**2.
-880*sqrt(11) + 33339
Simplify -5 + (4*sqrt(108) + sqrt(108))*-1 - (sqrt(84)/sqrt(4)*-2 + sqrt(21))/(-1*sqrt(28)/sqrt(4)).
-31*sqrt(3) - 5
Simplify (sqrt(200) + -1)**2 + 2 + 1 + -3 - (sqrt(54)*5)/(sqrt(192)*4).
-655*sqrt(2)/32 + 201
Simplify (sqrt(528) - (sqrt(528) + -1*sqrt(528) - sqrt(528))*6)/(sqrt(22)/(sqrt(8)/sqrt(4))) + 0 + (2*sqrt(384)*-2)/sqrt(8).
12*sqrt(3)
Simplify -5 + ((1 + -2*sqrt(112) - (sqrt(112) - (sqrt(112) - 5*(sqrt(112) + -2*sqrt(112) + sqrt(112)))))**2 - -1*(sqrt(448) + (sqrt(448) + 1)*-1)).
-16*sqrt(7) + 443
Simplify ((4*-2*sqrt(2662)*-1)/((sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 2*(sqrt(1100) - 2*sqrt(1100)))))*-1))**2*2.
7744/25
Simplify -4*((sqrt(833) - (-1 + sqrt(833)))*-3 + (sqrt(833) - sqrt(833)*-1*4) + sqrt(833) + (-3 + (sqrt(833) + 4*sqrt(833) - sqrt(833)))*-1)**2.
-13328
Simplify (6*((sqrt(140)/sqrt(5))/sqrt(2) - sqrt(14)))/(sqrt(14)/(-1*sqrt(2)*4)) + -3.
-3
Simplify -1 + (-5*4*(sqrt(343) + -2 + -2 - (sqrt(343) + sqrt(343) + 1)*-5))**2.
61600*sqrt(7) + 16601599
Simplify 6*(1*-1*sqrt(66) - ((sqrt(66) - (-5*-4*sqrt(66) + sqrt(66))) + sqrt(66)))/(sqrt(12)/sqrt(2)*1 - sqrt(216)*2).
-108*sqrt(11)/11
Simplify 5*(-6*(5 + -2 + 2 + sqrt(684) + (-4 + -1*sqrt(19))*-1 + 1))**2.
25200*sqrt(19) + 185580
Simplify 6*(2 + (6*sqrt(68)*3 - (1*(sqrt(17) + sqrt(272)) + (sqrt(17) - (sqrt(17) - (-1*sqrt(204))/sqrt(12)))))**2).
104460
Simplify ((-4*(sqrt(136) + sqrt(136)*-2 + sqrt(136)) + sqrt(136) - sqrt(136))/(sqrt(8)*1*1) + (sqrt(2448) + -1*sqrt(2448))**2*-3*-5)*1.
0
Simplify 0 + (-1*sqrt(81) - sqrt(9))/(sqrt(12) - -1*sqrt(12)) + ((sqrt(336) - (sqrt(336)*-2 + sqrt(336)))/sqrt(7))**2 + (sqrt(27) + 0)*1.
2*sqrt(3) + 192
Simplify (-5*(3*(sqrt(252) + 1) + 6*(-2 + sqrt(252)))*1*-1)**2*-2*-4.
-194400*sqrt(7) + 4098600
Simplify (1 + (2*sqrt(2))**2 - sqrt(2)) + sqrt(2) + sqrt(162)*1 - ((sqrt(2) - (sqrt(18))**2)*-3 - (sqrt(200) + 0)).
-45 + 22*sqrt(2)
Simplify (sqrt(4320) - -3*sqrt(4320) - (sqrt(330)*4)/sqrt(11))/((sqrt(80)*1)/sqrt(8) + sqrt(10) - (sqrt(10) - sqrt(10)*-1)*6).
-22*sqrt(3)/5
Simplify ((((1 + sqrt(171))*2 + sqrt(171))*4 - (-1 + -1*sqrt(171) - (sqrt(171) + -1 + 5)))*-5)**2.
27300*sqrt(19) + 842125
Simplify 2 + ((-1*sqrt(726) + sqrt(726))/(sqrt(2) - -4*3*sqrt(2))*-2)**2.
2
Simplify (-2 + (sqrt(154)/((sqrt(343) - 1*sqrt(343)) + sqrt(343)))/(sqrt(99)/(sqrt(81) - sqrt(9))*-2))*2.
-4 - 2*sqrt(2)/7
Simplify ((sqrt(80) - 2*(sqrt(80) + sqrt(80)*2 - sqrt(80)))/(sqrt(8)/sqrt(2)*-2))/((sqrt(1024)*1)/sqrt(4)*4).
3*sqrt(5)/64
Simplify ((sqrt(3087)*-2)/(2*sqrt(144)) + 4)**2 + (sqrt(7) + sqrt(70)/(sqrt(10) + sqrt(60)/sqrt(6)) - sqrt(77)/(sqrt(44)/sqrt(4))) + -4.
-27*sqrt(7)/2 + 535/16
Simplify (3 + 5 + ((sqrt(80) + (sqrt(80) - (sqrt(80) + -3*sqrt(80))))/sqrt(4))**2 + (sqrt(20)*-2 + 5)**2)*-1*5.
-2165 + 200*sqrt(5)
Simplify (4*-5*(0 + sqrt(1008))*-5)**2 + ((-1*(sqrt(1008) + sqrt(1008)*-2) - (1*(1 + sqrt(1008)) - sqrt(1008))) + 2)**2 + 0.
24*sqrt(7) + 10081009
Simplify (-2 + -5*(sqrt(39)/sqrt(3) + -5))**2 - (-4*sqrt(234))/(-2*sqrt(162)).
-692*sqrt(13)/3 + 854
Simplify 1*(3 + (sqrt(612)*1 + 5 - sqrt(612)) + sqrt(612) + -5 + ((-1 + (sqrt(612) - sqrt(612)*-2))**2 - 6*(sqrt(612) + -1)**2)).
42*sqrt(17) + 1834
Simplify -1 + (6*(2*sqrt(99)*-3 + sqrt(99))*1)/((2*sqrt(3888))/(5*sqrt(6)/sqrt(2))).
-25*sqrt(11)/4 - 1
Simplify (sqrt(2736) + 1)*3 - (2 + (sqrt(2299) - 2*sqrt(2299) - sqrt(2299)) - sqrt(2299)) - -3*(2 + -2*sqrt(684) + 5)**2.
-435*sqrt(19) + 8356
Simplify (-3 + (sqrt(1872) + -2 + sqrt(1872) - sqrt(1872))*5 - (3 + (sqrt(1872)*1 + -4)**2)) + 3 + 2.
-1899 + 156*sqrt(13)
Simplify (-6*(-3 + sqrt(1539) + 1*sqrt(1539) + sqrt(1539)) + -4 - (1 + 6*sqrt(1539) + sqrt(1539) + 0 + 5))**2.
-3600*sqrt(19) + 961939
Simplify 6*(-4*sqrt(1224)*-4)/(-1*-1*sqrt(2)*-1)*-2.
1152*sqrt(17)
Simplify -6*-6*-5*(-6*(2*sqrt(1053))**2*-1 + (4 + 3*3*sqrt(1053) + sqrt(1053))**2).
-23505840 - 129600*sqrt(13)
Simplify 5*(4 + (sqrt(275)*2 - sqrt(275))**2) + 3 + (sqrt(99)*1)**2 + sqrt(99) + (sqrt(11) - (sqrt(110)/(sqrt(10) + sqrt(160)) + sqrt(11))).
14*sqrt(11)/5 + 1497
Simplify 1 + (2*sqrt(209)*2*-5*3)/((sqrt(704)*5)/(sqrt(64)/sqrt(4))).
-6*sqrt(19) + 1
Simplify 1*(-6*(sqrt(136)*3 - sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136)*-1*-3)/(sqrt(648) - (sqrt(648) + sqrt(648)*-3) - 1*sqrt(8)*2).
-2*sqrt(17)/25
Simplify (-1*((1*sqrt(1088)*5 - (-1 + sqrt(1088) + 1)) + (sqrt(1088)*1*-1 + sqrt(1088) - sqrt(1088))*-3)*-3)**2.
479808
Simplify ((3*2*sqrt(187) - sqrt(187)*-1*-5)/(3*sqrt(44)*3)*1)**2.
17/324
Simplify (-2*(sqrt(80) + sqrt(80)*-3) + 0 + sqrt(80) + -2 - -5*(1 + ((2*sqrt(80) - sqrt(80))*2 - sqrt(80))))**2.
240*sqrt(5) + 8009
Simplify -1*(1*4*(0 + (sqrt(684) - ((1 + sqrt(684) + -3 - sqrt(684)) + sqrt(684)))**2) + -5) + 5.
-6
Simplify (5*((sqrt(330)/(sqrt(40)/sqrt(4)))/(-2*sqrt(363)) + (sqrt(110)*2*3)/(sqrt(40)/(sqrt(36) + sqrt(4)))))**2.
6943225/44
Simplify (-5*(0 + 0 + sqrt(605) + -2*sqrt(605)*-2) - (-3*sqrt(605)*-2 + 2*(-2 + sqrt(605))))**2*-4.
-2635444 + 11616*sqrt(5)
Simplify -3 + ((5 + 3*sqrt(2) - (3*sqrt(4))/sqrt(2))*3 - (-5*2*sqrt(288) - ((sqrt(2) + sqrt(32))*-2 + (sqrt(2) - sqrt(150)/sqrt(3)))))**2.
3180*sqrt(2) + 22694
Simplify (sqrt(684) + -6*(-1 + sqrt(684) + sqrt(684)) + -5 + 2 + 2*3*(-1 + (sqrt(171) - sqrt(19)) + 4))**2.
-2268*sqrt(19) + 55845
Simplify (-4*((-1*sqrt(1100) - sqrt(1100)) + 5) + -3 + sqrt(1100) + (sqrt(1100) - sqrt(1100)*3) + 3)*3.
-60 + 210*sqrt(11)
Simplify ((-5*(sqrt(364) - ((6*sqrt(364) - sqrt(364)) + sqrt(364))))/sqrt(7))/(((sqrt(72)*5)/sqrt(9) + sqrt(8))/sqrt(2)).
25*sqrt(13)/6
Simplify (-1*sqrt(972) + sqrt(27) - 3*sqrt(2187))/((sqrt(324) - -1*sqrt(324) - sqrt(324))*2 + (sqrt(324) - sqrt(324)*2*5)).
16*sqrt(3)/21
Simplify -3 + 5 + (((sqrt(99) - 1*sqrt(99)) + sqrt(99))/sqrt(9) - (sqrt(11) + 1)*-4) + (5 + (5 + sqrt(99) + sqrt(99) + -2 - sqrt(99)))**2 + 1.
170 + 53*sqrt(11)
Simplify (-5*(-3*sqrt(8064) + sqrt(8064) - sqrt(8064)) + sqrt(8064))/((-3*-1*sqrt(88))/sqrt(11)).
64*sqrt(7)
Simplify (sqrt(704)*-1)**2 + 1 + ((3*-1*sqrt(121))/sqrt(11))**2 - (-3*sqrt(3168))/(sqrt(72)*-5).
-6*sqrt(11)/5 + 804
Simplify -5 + 6*(sqrt(432) + 4 + -1 + (1*(-3 + sqrt(432) + sqrt(432)) + sqrt(432))**2).
-1224*sqrt(3) + 23395
Simplify (-2 + (3 + sqrt(99) + 0 + 4)**2 + ((0 + sqrt(99) + 2)*6 + -1)**2)*-1.
-3831 - 438*sqrt(11)
Simplify ((1 + -3 + 4*(sqrt(396) + (3*sqrt(396) + sqrt(396))*6))*-6*6 + 5)**2.
-3326400*sqrt(11) + 5132165929
Simplify -4*(sqrt(84)/(sqrt(120)/(3*sqrt(10))) + 0 + (2 + sqrt(7))*-3)**2.
-144
Simplify -4*(0 + (sqrt(1088) - sqrt(1088)*-2) + -5)**2 + ((sqrt(1088) + 0)*-6 - (2 + -1 + sqrt(1088)))**2.
1072*sqrt(17) + 14045
Simplify (((sqrt(833) + (sqrt(833) - 1*sqrt(833)))*-3 - 6*(sqrt(833) + 1))*4)**2 - -6*(6*(sqrt(833) + 0) + 0).
12348*sqrt(17) + 1080144
Simplify (((sqrt(125) + 0)*4 - 1*(sqrt(125) + (sqrt(125) - -1*sqrt(125)))) + 3)**2 + (-5*((sqrt(15) + sqrt(135))*-6)/((sqrt(48)/sqrt(2))/sqrt(8)))**2.
30*sqrt(5) + 72134
Simplify ((sqrt(300)/(sqrt(24)/sqrt(2))*2)/(sqrt(30)/(sqrt(66)/(sqrt(11) + 1*sqrt(11)))) + -5)*-1.
-sqrt(5) + 5
Simplify ((sqrt(95) - (-3*sqrt(95) - sqrt(95))*-3)*-1*-2)/(-1*(sqrt(320) - -2*sqrt(320)) + ((sqrt(320) - -2*sqrt(320)) + sqrt(320) - sqrt(320))*-4).
11*sqrt(19)/60
Simplify ((sqrt(392)*-1*-4 - sqrt(392))/(sqrt(21)/sqrt(3)*-3))/((sqrt(128) - (sqrt(128) + -1*sqrt(128))) + sqrt(8) + sqrt(72)/sqrt(36)).
-2*sqrt(7)/11
Simplify 1*(((-1 + sqrt(180))*4 + 0 + sqrt(180) + 2 - -5*(sqrt(180) - (sqrt(180) + -1)**2*5)) + 0).
-4527 + 360*sqrt(5)
Simplify 4 + 5*((sqrt(5) - (sqrt(5) - -5*(sqrt(5) + 2)) - ((sqrt(5) - (sqrt(5) + -4)) + 2))**2 + -3)*-5 + -1.
-9447 - 4000*sqrt(5)
Simplify 4 + -4*-3*sqrt(200) + (sqrt(128)*-4)/(2*sqrt(16) + sqrt(16)).
4 + 352*sqrt(2)/3
Simplify (-5*-2*-1*-1*sqrt(304)*-2*-4*6)**2.
70041600
Simplify -4*(-1*(sqrt(500) - (sqrt(500) - (sqrt(500) + -1))*2)**2 + -5 + (-3 + sqrt(500) - sqrt(500))**2 + 5) + 4.
-160*sqrt(5) + 1984
| {
"pile_set_name": "DM Mathematics"
} |
ultiple of 3 and (-15)/(-25) + (-17)/i.
12
What is the common denominator of 29/198 and 28539/(-2430) - (-4)/9?
990
Suppose q + 4*q - 4*w - 200 = 0, q = -2*w + 26. Suppose 5*i - 84 = -3*k, -27 = -k + 3*i - 5*i. Calculate the lowest common multiple of q and k.
396
Find the common denominator of (-10)/(-130) - 2118/(-351) and -61/10.
90
Suppose -p - 3*p - 1756 = 2*m, 434 = -p + 2*m. Find the common denominator of p/60 + 2/5 and 2805/(-275)*(-2)/(-3).
10
Let v = -1/17983 - -1168911/287728. What is the common denominator of v and -81/4?
16
Let v(z) = z**3 + 24*z**2 + 23*z + 1. Let k be v(-23). Find the common denominator of -43/11 and k*(184/(-44) + 1).
11
Suppose 4*u = -2*o + 18, -16 = -3*o - o + 2*u. Suppose -3*p = -p - 5*j - 17, o*j + 39 = 4*p. Calculate the least common multiple of 2 and p.
22
Suppose -28692 = z - 4*z. Let r be z/(-22365) + (-3)/(-7). Let b = r + 3313/355. Find the common denominator of b and 38.
3
Suppose -44 = 4*y - 76. Calculate the smallest common multiple of 33 and (-792)/(-55) + (y/5 - 1).
165
Calculate the common denominator of (-6)/4 + (-410)/(-148) and 5/(-6) - (-11492)/1248.
296
Let g(i) = -4*i**3 + 4*i**2 - 3*i + 2. Let l be g(2). Let m = -2 - l. What is the lowest common multiple of 24 and m?
72
Let b = -4742/3 - -1602. What is the common denominator of 7/18 and b?
18
Let w(n) be the second derivative of 13*n**4/12 + n**3/6 + n**2/2 + 4*n. Let v be w(-1). What is the smallest common multiple of v - (-2 - 1)/(-1) and 10?
10
Let j = -319 + 325. What is the smallest common multiple of 208 and j?
624
Suppose 2*t + 2*m = 24, -2*t + 0*t = 3*m - 29. Calculate the least common multiple of t and 9 + (-2)/(-9) + (-64)/288.
63
Let j(b) = -5*b - 23. Let g be j(-4). Calculate the common denominator of g*(-9)/(-54)*(-53)/(-6) and 17/15.
60
Suppose 5*a + 8 + 22 = 0. Let c be a/8 - 185/20. What is the common denominator of 0 + 2 + c/7 and 9/7?
7
Let d(m) = -m - 10. Let q(r) = -r + 3. Let b be q(3). Let t be d(b). What is the least common multiple of 9 and t/4*(6 + -10)?
90
Suppose -4*w - 3630 = w. Find the common denominator of w/120 + (-1)/(-2) and 51/14.
140
Let q = 35 - 35. Suppose q = -2*l + 74 - 26. Calculate the smallest common multiple of l and 4.
24
Let p(k) = k**2 + 25*k + 57. Calculate the least common multiple of 296 and p(-35).
3256
Calculate the common denominator of 6*(1 - 2) - (-11)/44 and (-394)/8 + 2/(-8).
4
What is the smallest common multiple of ((-12)/18)/((-2)/12) and (2 - (3 + -2)) + 13?
28
Let k = -417 - -529. Calculate the least common multiple of k and 144.
1008
Let r(b) = 94*b**2 + 4*b - 6. Let j be r(6). Let n = 1362 - j. What is the common denominator of 97/4 and (n/64)/(3/(-4))?
4
Suppose -25*b = -21*b + 4. Let g(c) = -4*c - 4. Let f be g(8). What is the common denominator of -43/14 and (b/(-4))/(f/(-207))?
112
Suppose 4*o = 3*o + 1. Calculate the smallest common multiple of 18/5*5/2 and (9 - -2) + -1 + o.
99
Let l = 62011/71757 + -212/603. Find the common denominator of l and 21/85.
595
Suppose -4*b + 0*k + 244 = 2*k, 3*b = k + 193. What is the lowest common multiple of b and 91?
819
Suppose -5*y + 16*y = 330. Suppose 0 = -10*i + 13*i - y. Calculate the smallest common multiple of i and 4.
20
Suppose 5*g + 20 = -2*a, 4*g + 23 = a - 4*a. Let n = g + 7. Suppose -6*d + 4*d = -16. What is the least common multiple of n and d?
40
Suppose 492 = 13*a - 9*a - 4*v, 0 = -a - 5*v + 141. Calculate the smallest common multiple of 14 and a.
126
Let g = -8/149 - 11416/9387. Calculate the common denominator of 53/70 and g.
630
Let n(v) = 3*v + 35. Let o be n(-21). Let h = o + 30. Let m = -2 - -14. Calculate the least common multiple of m and h.
12
Suppose -y - 3*c - 45 = -20, -3*y - c - 59 = 0. Let i = -40 + 37. Let k = i - y. Calculate the smallest common multiple of k and 8.
16
Let r = 799 + -12879/16. Find the common denominator of r and (-214)/(-56) + -1 + 1.
112
Let l = -3758 - -101426/27. Calculate the common denominator of 1 + ((-2576)/105)/8 and l.
135
Let b = -64 + 84. Suppose -3*d - d = h - b, d + 2*h - 12 = 0. Let m = -7 - -19. Calculate the smallest common multiple of d and m.
12
Let r(v) = v**3 - 7*v**2. Let q be r(7). Suppose 0*a + a - 4*j - 34 = q, 0 = -2*j - 10. What is the common denominator of ((-3)/a)/(2/52) and -71/6?
42
Let f be 1/(-6) + 4081086428/192. Let j = f - 21263844. Let h = -8192 - j. What is the common denominator of 19/10 and h?
80
What is the smallest common multiple of 36 and 91/5 + -5 + (-240)/(-50)?
36
Suppose 5*v = 10 + 500. What is the common denominator of -31/2 and (v/30)/((-12)/50)?
6
Calculate the least common multiple of 26 and (-8 + (-1870)/(-11))*(-2)/(-6).
702
Let b = -12/35 - -341/280. Calculate the common denominator of -35/62 and b.
248
Let k be 4849/1920 + (27/(-15))/(-3). Let q = k + 1/128. Calculate the common denominator of -50/3 and q.
15
Let q = 44624986/7085 - 250972752969/39851708. Let u = q + 1/7031. What is the common denominator of (-4)/6*765/(-84) and u?
140
Let b = 6627 - 92731/14. Calculate the common denominator of 227/10 - (-12)/90 and b.
42
Calculate the smallest common multiple of ((-20)/(-8)*-1)/(25/(-10)) and 13.
13
Let i = -2937 - -20596/7. What is the common denominator of 53/9 and i?
63
Let h(i) = i**3 - 8*i**2 - i + 9. Let d be h(8). Let k(a) = 10*a**2 + 4*a - 4. What is the lowest common multiple of k(d) and 34?
170
Let q(w) = w**2. Let s(d) = 9*d**2 + 3. Let f(h) = -18*q(h) + 3*s(h). Calculate the lowest common multiple of 9 and f(2).
45
Suppose 97 = -5*p + 297. Suppose -3*u + p = 5*f - 21, 0 = -5*u + 3*f + 45. Find the common denominator of (-16)/(-4) + 86/u and -23/3.
6
Suppose -3*g - 16 = g. Let f be ((-1)/(-3))/(g/(-24)). Suppose w = f*w - 4. Calculate the smallest common multiple of 5 and w.
20
Suppose d + 0*j - 44 = 2*j, 140 = 4*d + j. Calculate the common denominator of (-4)/(-24)*1 + 249/d and 31/20.
60
Let a = 24719/1788 + 5/596. What is the common denominator of (-5)/355*(-3)/((-36)/582) and a?
426
Suppose 6 - 94 = -4*f. Suppose 5*l = 3*l - 3*y + 3, 2*l - 6 = -2*y. Calculate the lowest common multiple of l and f.
66
Let m be ((-9)/(-13935))/((-3)/8). Let k = -182997/9290 + m. Let z = 248/15 + k. What is the common denominator of z and 56/5?
30
Let b be 13/(-52)*24/134. Let f = -20721481 + 24990096961/1206. Let a = f + b. Find the common denominator of 119/12 and a.
36
Let r = 389669/1012 + -14877/44. Let i = -43676/897 + r. What is the common denominator of i and -35/22?
858
Calculate the common denominator of -47/56 and 315/(-2646)*(-111)/10.
56
What is the least common multiple of (1 - -4) + (64 - 63) and 6?
6
Let t be (4 + (-15)/12 - 3)*-4. Let z be (-8)/(-10)*(-75)/10. Calculate the lowest common multiple of 2/z*(-36)/t and 3.
12
Suppose -128 = -2*f + 4*b, 3*b + 0*b - 149 = -2*f. Calculate the least common multiple of 105 and f.
210
Let j = 628554077347/93893220 - 2/4694661. Let g = 6696 - j. Calculate the common denominator of -85/22 and g.
220
What is the lowest common multiple of (198/27 + -8)/(2/(-30)) and 4?
20
Suppose 42 = 5*h + 12. Let s(w) = -w**2 + 8*w - 5. Let l be s(7). Suppose 8 - l = 3*q. Calculate the lowest common multiple of h and q.
6
Suppose u + 14 - 46 = 0. Suppose 0 = -19*j + 11*j + 32. Calculate the least common multiple of u and j.
32
Let o be ((-1)/2)/(6/(-18693)). Let h = o - 1550. Find the common denominator of -47/5 and h.
20
Suppose 19*u - 154 - 2867 = 0. What is the smallest common multiple of 265 and u?
795
Let m be 0/((-3)/6*-4) + -8. Calculate the lowest common multiple of 14 and 2/(8/17) + 2/m.
28
Let d = 9 + -5. Suppose 5*i - 29 = -14. Suppose 4*r + 0*r = 3*y - 32, i*r + 38 = d*y. Calculate the smallest common multiple of 16 and y.
16
Let u = 18692 + -92032/5. Let l = u + -11289/40. What is the common denominator of -79/20 and l?
40
Suppose 23 = -s + 28. Suppose s*j - 80 = 4*p, 2*p = 4*p + 5*j + 10. Calculate the smallest common multiple of 7 and 3/(1*(-5)/p).
63
Let m(z) = z**2 + 11*z + 15. Let g be m(-10). Suppose -4*v + 11 = -5*f, -2*f - 6 = 5*v + g. Calculate the smallest common multiple of 20 and 2/v + (-4)/(-1).
20
What is the common denominator of (-105)/378 - (3 - -2) and 43/72?
72
Suppose 42*n - 21 = 38*n - 5*w, -w = -5*n + 48. Suppose -d + 5*a = -35 - 15, -a - 124 = -4*d. Calculate | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of 1628 and 9581.
11
What is the greatest common divisor of 968 and 2816?
88
Calculate the greatest common factor of 586 and 362734.
586
What is the greatest common factor of 591141 and 1038?
519
Calculate the highest common divisor of 416 and 10244.
52
Calculate the greatest common divisor of 252804 and 30.
6
Calculate the highest common divisor of 25440 and 2145.
15
What is the highest common divisor of 414834 and 189074?
2822
What is the highest common factor of 22650 and 400?
50
Calculate the highest common divisor of 367575 and 450.
75
What is the highest common factor of 71271 and 9?
9
Calculate the highest common factor of 382183 and 1007.
53
Calculate the greatest common factor of 2123815 and 145.
145
What is the highest common factor of 5892046 and 6728?
1682
Calculate the highest common factor of 97344 and 390.
78
Calculate the highest common factor of 3939 and 1859.
13
Calculate the highest common factor of 8381 and 4046.
289
What is the greatest common factor of 174 and 13224?
174
Calculate the highest common divisor of 55283 and 1475.
59
What is the greatest common divisor of 35 and 18809?
7
What is the highest common factor of 912100 and 50?
50
Calculate the highest common factor of 69 and 215466.
3
What is the greatest common factor of 149 and 108025?
149
What is the highest common divisor of 39065 and 130?
65
What is the greatest common divisor of 114 and 261117?
57
What is the greatest common factor of 765 and 9792?
153
Calculate the greatest common divisor of 74294 and 65084.
614
Calculate the greatest common factor of 292 and 43654.
146
What is the highest common factor of 2875 and 2990?
115
What is the highest common factor of 212 and 2809?
53
What is the highest common factor of 3702 and 36?
6
Calculate the highest common factor of 28851 and 18745.
163
What is the highest common divisor of 30 and 1560?
30
What is the highest common factor of 9212 and 4018?
98
Calculate the greatest common divisor of 198 and 7678.
22
What is the greatest common factor of 21696 and 49344?
192
What is the highest common factor of 4085 and 810?
5
What is the highest common factor of 12212 and 4300?
172
What is the highest common factor of 450 and 1837575?
225
Calculate the highest common factor of 37067 and 3303.
367
What is the greatest common factor of 94758 and 102?
102
Calculate the greatest common divisor of 1026 and 1216.
38
What is the greatest common divisor of 1046948 and 252?
28
Calculate the greatest common divisor of 21520 and 1360.
80
What is the greatest common divisor of 7396 and 4128?
172
What is the greatest common divisor of 830 and 16102?
166
Calculate the highest common divisor of 63 and 5877.
9
What is the greatest common factor of 1980 and 29832?
132
Calculate the highest common divisor of 789030 and 66.
66
What is the greatest common factor of 445 and 23407?
89
Calculate the highest common factor of 17969 and 9826.
17
Calculate the greatest common factor of 1051299 and 54.
27
Calculate the highest common divisor of 113220 and 714.
102
What is the greatest common divisor of 758 and 400?
2
Calculate the greatest common divisor of 90 and 3750.
30
What is the highest common factor of 2080 and 1060384?
416
What is the highest common factor of 4608 and 204032?
256
What is the greatest common divisor of 267023 and 257?
257
What is the greatest common divisor of 132 and 34188?
132
Calculate the greatest common factor of 755446 and 102.
34
What is the highest common factor of 174173 and 5874?
89
Calculate the greatest common divisor of 120 and 24612360.
120
What is the greatest common divisor of 318585 and 402?
201
Calculate the highest common divisor of 364 and 266.
14
Calculate the highest common divisor of 980 and 2012.
4
Calculate the greatest common factor of 84502 and 24794.
506
Calculate the highest common factor of 51760 and 16.
16
Calculate the greatest common divisor of 3 and 13382.
1
What is the highest common factor of 5375153 and 343?
343
Calculate the greatest common factor of 136 and 148376.
136
Calculate the highest common factor of 936 and 9248.
8
What is the greatest common factor of 2 and 14842?
2
Calculate the highest common divisor of 74 and 153661.
37
Calculate the highest common divisor of 8 and 90568.
8
Calculate the greatest common factor of 3296 and 205176.
824
What is the greatest common factor of 980 and 1084370?
490
Calculate the greatest common divisor of 2979 and 19529.
331
Calculate the greatest common factor of 133719 and 318.
159
What is the highest common factor of 183744 and 33?
33
What is the greatest common divisor of 246625 and 2125?
125
Calculate the greatest common divisor of 39809 and 44891.
847
What is the highest common divisor of 432 and 3624?
24
Calculate the greatest common factor of 27 and 395.
1
Calculate the highest common divisor of 2080 and 45040.
80
Calculate the greatest common divisor of 12815 and 17708.
233
What is the highest common divisor of 12 and 118644?
12
What is the greatest common factor of 247705 and 535?
535
What is the highest common divisor of 195772 and 204?
68
Calculate the highest common divisor of 23 and 3424171.
23
What is the highest common divisor of 62491 and 16744?
299
Calculate the greatest common factor of 630 and 585270.
630
What is the greatest common factor of 12 and 19928?
4
What is the highest common factor of 456 and 26467?
19
Calculate the greatest common factor of 3 and 25923.
3
What is the highest common factor of 6 and 73582?
2
What is the greatest common divisor of 126 and 103698?
126
Calculate the highest common divisor of 234 and 61470.
18
Calculate the highest common divisor of 34829 and 70859.
1201
Calculate the highest common divisor of 6280 and 27004.
628
What is the highest common divisor of 840 and 198555?
105
What is the highest common factor of 42 and 22820?
14
What is the highest common factor of 563766 and 154?
14
Calculate the highest common factor of 2326936 and 4.
4
Calculate the greatest common factor of 397106 and 4.
2
What is the greatest common factor of 440755 and 420?
35
Calculate the highest common factor of 1157 and 247.
13
Calculate the greatest common factor of 5494 and 61238.
134
What is the highest common factor of 349033 and 123?
41
What is the highest common divisor of 68 and 73729?
17
What is the greatest common factor of 40 and 64860?
20
Calculate the greatest common factor of 1888 and 832.
32
Calculate the greatest common factor of 908 and 6448.
4
What is the highest common divisor of 88646 and 76082?
698
What is the highest common factor of 504 and 33180?
84
What is the highest common divisor of 6681 and 9?
3
What is the greatest common factor of 12 and 20676?
12
Calculate the greatest common factor of 45 and 274565.
5
What is the greatest common factor of 3856 and 120500?
964
Calculate the greatest common factor of 201 and 1186704.
201
Calculate the greatest common factor of 1291948 and 28.
28
What is the highest common factor of 407200 and 1?
1
Calculate the greatest common divisor of 860 and 20399200.
860
Calculate the highest common divisor of 13 and 601393.
13
What is the greatest common factor of 20080 and 605?
5
What is the highest common factor of 23 and 25047?
23
Calculate the highest common divisor of 24 and 17826.
6
Calculate the greatest common divisor of 2033476 and 62.
62
Calculate the highest common factor of 76 and 30761.
19
What is the greatest common factor of 276 and 3084?
12
Calculate the highest common divisor of 21532 and 314521.
769
What is the greatest common factor of 9314 and 14?
2
What is the greatest common factor of 36 and 65934?
18
What is the greatest common factor of 39464 and 24?
8
Calculate the highest common divisor of 24800 and 2950.
50
What is the highest common factor of 25372 and 12?
4
What is the highest common divisor of 4983 and 19479?
453
Calculate the highest common factor of 35 and 1296757.
7
Calculate the highest common divisor of 336 and 93576.
168
What is the greatest common factor of 11328 and 295?
59
Calculate the greatest common factor of 19830 and 10410.
30
Calculate the highest common factor of 6785 and 46020.
295
What is the greatest common factor of 14190 and 11330?
110
What is the highest common divisor of 8142 and 4278?
13 | {
"pile_set_name": "DM Mathematics"
} |
i = f - 2.8. What is the nearest to l in i, 3, 6/7?
i
Let w = 10154/3 + -3349. Let h = w + -1180/33. Let l = -0.04 - 0.36. What is the nearest to 1 in h, 0.4, l?
0.4
Let o(q) = q**3 - 4*q**2 - 3*q - 5. Let j be 1*(-1)/((-2)/10). Let i be o(j). Let a = 9/16 + -13/80. What is the nearest to a in i, -2, 0.2?
0.2
Let j = -7 + 2. Let y = 0.05 + 1.95. Let n = -1 - -5. Which is the closest to -0.1? (a) n (b) y (c) j
b
Let z = -0.02 + 0.14. Let j = z - 5.12. Let o = 0.9 + -2.9. What is the nearest to -0.1 in o, j, 0.1?
0.1
Let k be 85/(-50) + -2 + 4. Which is the closest to k? (a) 2/5 (b) 4 (c) 5
a
Let p = 10 + -5. Let n = 4.8 - p. What is the closest to -1/2 in n, -5, 1?
n
Let m = -90 - -452/5. What is the closest to 0 in m, 0.1, 3/4?
0.1
Suppose -2 = 3*f - 2*f. Let o be f + 2 - (-4)/(-10). Let d = 2.9 - 3.4. What is the closest to o in -2, d, 2/13?
d
Let w be 164/(-9) + -1 - 2. Let t = w + 21. Suppose 0 = -2*n - 2*v - 16, 6*n - 2*n + v = -20. Which is the nearest to 2? (a) t (b) -2/11 (c) n
b
Let k = -9.8 - -10. Let h = -1.7 - -0.3. Let z = 1 + h. Which is the closest to 0? (a) 2/7 (b) k (c) z
b
Let j = -6.9 - -7. What is the closest to j in 5, 0.4, -0.3?
0.4
Let d(l) = -l**3 - 4*l**2 + l + 1. Let t be d(-4). Let s be (t - -1) + (-36)/(-9). Let z = 2 + -2.2. Which is the nearest to z? (a) s (b) 3 (c) 4
a
Let z be 1/((-3)/34*-2). Let x = 16/3 - z. Let y = -245/348 - 4/87. Which is the nearest to x? (a) -0.5 (b) y (c) 0
a
Let t = 2 - 3. Let d = 4.02 + -0.02. Let u = 0 - -0.4. What is the nearest to t in d, -0.5, u?
-0.5
Let i = 78 - 78.08. Which is the nearest to 2? (a) -0.2 (b) 3 (c) i
b
Let w = 3.6 - 4.1. What is the nearest to 1/3 in w, 0.4, 0.17?
0.4
Let v be (-7)/(-1)*6/(-7). Let r = v + 7. Let s(y) = -y**2 + 4*y + 5. Let z be s(5). Which is the closest to z? (a) r (b) -0.5 (c) 2/3
b
Let t = -3 - -2. Let l = 0.9 - -3.1. Let r = l + -3.6. What is the nearest to t in -2, r, -0.4?
-0.4
Let r = 2.9 + -4. Let k = 2.9 - r. What is the nearest to 1/5 in 0.2, k, -5?
0.2
Let s = -19/36 + 3/4. Let b be (-1 - -1) + 1 - -1. What is the nearest to b in s, 0.4, -0.5?
0.4
Let a = 0.1 + -0.1. Let q = 0.6 - 0. Let x = 0.8 - q. What is the closest to a in -3/8, x, 1/2?
x
Let y = -158 - -786/5. What is the closest to 1 in -2, -0.3, y?
-0.3
Let k be 0/(0 + 4 + -1). Let h be 3/12 + (-6)/88. What is the closest to k in 0.1, -3/7, h?
0.1
Let w be (-9)/12*2/(-6). Let t = 10/3 - 77/24. What is the closest to w in 3, -1, t?
t
Let x = 41 - 41.5. Which is the nearest to 0.1? (a) -0.4 (b) x (c) -2/3
a
Let l = 207/4 - 52. Suppose 0*g + 71 = 2*j + g, 3*j - 104 = -g. Let v = -166/5 + j. Which is the closest to 0.1? (a) l (b) -3 (c) v
c
Suppose 0*v = 5*v + 5. Let p be (10 - 6)*1*v. Let y = 0 - 0.1. What is the nearest to y in p, 2/7, 5?
2/7
Let o = -19.7 - -16. Which is the nearest to 2? (a) -0.2 (b) o (c) 5
a
Let p be (36/30)/(2/(-5)). What is the nearest to 1/4 in 3, p, -0.3?
-0.3
Let n = -10 - -6. Let y be -1*3 + (-52)/(-12). Which is the nearest to -1? (a) n (b) -2/7 (c) y
b
Let m = 12.8 - 13. What is the closest to m in -2/7, 1, -5?
-2/7
Let x = -1 - 1. Let f = 2 + -3. Let k = 11 + -14. Which is the closest to 0? (a) f (b) k (c) x
a
Let t = -15 - -15. Which is the nearest to -1? (a) 0.1 (b) t (c) 4
b
Let j = 0.4 + 0. Let v = 0.5 - j. Let q = 1.1 + -5.1. Which is the nearest to v? (a) -1 (b) q (c) -0.1
c
Suppose 5*n - p - 12 = 2*p, -4*n = -5*p - 20. Let x = -0.1 + 0.3. Let w = 0.1 - 0.2. What is the closest to 0 in n, x, w?
n
Let z = 3.9 - 4. Let l = 0 - z. Let o be 10/25 + 4/(-35). Which is the nearest to o? (a) -0.1 (b) l (c) -4
b
Let a be 6/3 - 14/10. What is the closest to 0.2 in 0.2, a, 0?
0.2
Let i = -2.7 - 0.3. Let r = 3.1 + i. Let j = -30.6 - -30.6. What is the closest to r in -2, j, -0.3?
j
Let j = -4 - -3.7. Let l = -2 - 2. Let v = l - -4. Which is the closest to v? (a) j (b) -2 (c) -2/21
c
Let p = 0.42 - -4.58. Which is the closest to 0.2? (a) -0.1 (b) p (c) -2/7
a
Let q(b) = 4*b**3 - b. Let k be q(-1). Let j = -1.3 + 1.2. What is the closest to j in 0.3, 2, k?
0.3
Let c = 0.22 + 4.78. Let n = -0.4 + 1.4. What is the nearest to n in -3/8, c, -0.3?
-0.3
Suppose -4*r + r + 3 = 0. Which is the nearest to -0.1? (a) 0.3 (b) r (c) -5
a
Let l = 0.06 + -5.06. Let y = 1 - 2. Let q = 349 - 7331/21. Which is the nearest to y? (a) 4 (b) q (c) l
b
Let x be 4 + (-3)/(51/70). What is the nearest to -2/5 in 0.3, x, -2/3?
-2/3
Suppose 3*w - 3*q + 15 = 0, 0 = -2*w - 0*q - 4*q + 20. Let d = -0.015 - 0.085. Which is the closest to -1? (a) 0.2 (b) d (c) w
b
Suppose 2*v + q = 3, -4*v = -4*q - 0*q - 36. Suppose v*h + 12 = b, h - 10 = 2*b - 5*b. What is the closest to -2 in h, -3, -1/6?
h
Let y = -142/3 - -48. Suppose -2*k + 10 = 5*u - k, 26 = u + 5*k. Let o = 3.9 - 4. Which is the nearest to u? (a) o (b) y (c) 1
c
Let m = 0.5 + -0.3. Let n = -0.6 - -0.6. Let i = m + n. Which is the nearest to 2/3? (a) i (b) 2/9 (c) -2/9
b
Let i = 34 - 24. Suppose -4*s - 10 - i = 0, -73 = -4*r + 5*s. Let l be -3*9/r - -2. What is the closest to l in -1, -4, 5?
-1
Let g = 2.3 - 2.4. Which is the nearest to 0? (a) 5 (b) -1/6 (c) g
c
Let i = -6.3 - -1.3. Which is the nearest to 2? (a) -3 (b) -2 (c) i
b
Let r = -6/91 - 480/1001. What is the nearest to -2 in r, -4, 1?
r
Let z = -3.4 + -0.6. Which is the nearest to -0.1? (a) z (b) 1/5 (c) -22
b
Let z = -0.34 - -0.34. Which is the closest to 4? (a) -5 (b) z (c) -1
b
Let o = -10.9 - -10.7. Which is the closest to -3? (a) -3 (b) -0.4 (c) o
a
Let p = -0.01 + 0.21. What is the closest to p in 1/3, -0.14, 0?
1/3
Let g = 0.238 + -0.178. What is the nearest to 0.2 in g, -0.1, -3?
g
Let g = -2.5 + 3. Let d = 0.149 - 0.649. Which is the nearest to 0.1? (a) g (b) -1/11 (c) d
b
Let p be (-361)/(-133) - (-2)/7. Which is the closest to 58? (a) 0.2 (b) 4 (c) p
b
Let u = -1.7 - 0.3. Let d be (8/(-20))/(3/5 + -2). Which is the closest to 1? (a) d (b) u (c) -0.5
a
Let u(y) = -y**3 + 9*y**2 - 8*y - 4. Let l be u(8). What is the nearest to -2/7 in l, -0.06, -1?
-0.06
Let d(n) = -n + 8. Let j be d(6). Suppose j*s - 4 = -0*s. Suppose -v + 4 = -r, -s*r - 5*v = r + 4. Which is the nearest to 1? (a) 4 (b) r (c) 2/9
c
Let m(l) = -l + 8. Let y be m(3). Let o = -0.3 + 0.1. Which is the closest to o? (a) y (b) -0.4 (c) -4
b
Let r = -0.1 + -0.1. Let c = -10.6 - 2.4. Let y = 9 + c. What is the closest to -2/5 in r, y, -3?
r
Let g = 5 + -10. Let w = -1/67 + -58/603. Which is the nearest to 1? (a) -0.3 (b) g (c) w
c
Let d(c) = -c - 6. Let x be d(-4). Let l be 6/x + 3 + 0. Let s = 0.6 + -0.3. What is the closest to l in s, 6/7, -0.2?
-0.2
Let c = 5 - 5.5. Let d = 0.3 + c. What is the closest to d in -4, -2, 4?
-2
Let m be 2/3 - 14/12. Let q = 91/474 - 2/79. Let y = q + m. What is the nearest to 1/4 in 3, y, 1?
y
Let l = 113 - 793/7. Let f = 73 - 73.31. Let j = f - -0.11. Which is the nearest to 2/7? (a) -0.4 (b) l (c) j
c
Let u be (3 - 2) + 5/(-7). Let l = 23 + -23.9. Let g = -2.9 - l. Which is the nearest to u? (a) g (b) 4 (c) -0.4
c
Let f = -124 - -128. Which is the nearest to 0? (a) -0.2 (b) f (c) -6/11
a
Let x = 399 - 398. Suppose -6 = 3*n - n. Which is the nearest to 1? (a) 0.3 (b) x (c) n
b
Let c = 0.14 - 0.34. Let t be 0 + (2 - (-7)/(-5)). Let n = 9 + -6. What is the closest to c in -1/3, t, n?
-1/3
Let y = 18 + -18. Which is the nearest to -0.1? (a) y (b) -3 (c) 2
a
Let p = 16 + -27. Let o = p + 16. What is the closest to 1 in -2/7, 0.2, o?
0.2
Let o = -3.2 + 3. Let g = -663/4 - -165. What is the closest to -2 in g, o, -0.5?
g
Let s = 1.5 + 1.5. Which is the closest to 2/5? (a) -0.4 (b) s (c) 3/2
a
Suppose -3*x - 4 = -x - 5*v, 3*x + 6 = 3*v. Which is the closest to -0.1? (a) 3 (b) x (c) 1/18
c
Suppose 3*g = -2*g + 20. What is the closest to 2/7 in 3/2, -1/3, g?
-1/3
Let u = -5 + 0. What is the nearest to 0.1 in -1, u, -0.4?
-0.4
Let o = 0.21 - -0.03. Let q = o + 0.06. Let k = -0.03 + 0.43. Which is the closest to -0.1? (a) k (b) q (c) -4
b
Let d = 3 - 3.2. Let x = -12.6 - -14. Let o = x - 0.9. Which is the closest to d? (a) o (b) 2 (c) 0
c
Let w be 8/18*3*3/6. Which is the nearest to w? (a) -0.3 (b) 0 (c) -3/5
b
Let t = -0.931 + -0.069. Let k be (-1 | {
"pile_set_name": "DM Mathematics"
} |
1.
-sqrt(5)
Simplify sqrt(14)/(-1*sqrt(2)) + (2 + sqrt(343))**2.
27*sqrt(7) + 347
Simplify -4*(sqrt(833)*-1 - sqrt(833))**2.
-13328
Simplify sqrt(228)/(sqrt(12) - (sqrt(72)*-2)/sqrt(6)).
sqrt(19)/3
Simplify (-1 + 3 + (sqrt(78) - 1*sqrt(78))/sqrt(6))**2.
4
Simplify sqrt(432) + 0 - sqrt(192)*4.
-20*sqrt(3)
Simplify ((-1*sqrt(45)/sqrt(3))/(sqrt(25)/((sqrt(5) - sqrt(45)) + sqrt(5))))**2.
3
Simplify (sqrt(136)/sqrt(8) + sqrt(17) + 3)**2*4.
48*sqrt(17) + 308
Simplify sqrt(704) + -2*(sqrt(704) + 0) - ((2*sqrt(66) + sqrt(66))/sqrt(6) + ((2*sqrt(1100))**2 - sqrt(1100))).
-4400 - sqrt(11)
Simplify (sqrt(272)*4*1 - (sqrt(136)/sqrt(4)*-3)/sqrt(2))**2.
6137
Simplify (sqrt(72)/(sqrt(6)/sqrt(2)) + sqrt(24))/sqrt(8).
2*sqrt(3)
Simplify (sqrt(208)*-3 + 5)*-2.
-10 + 24*sqrt(13)
Simplify sqrt(1900) + -4*sqrt(1900) + 5.
-30*sqrt(19) + 5
Simplify 4 + ((sqrt(12) - (sqrt(48)/sqrt(64) + sqrt(12)))/(-2*sqrt(864)))**2.
18433/4608
Simplify (sqrt(228)*2*-6)/((sqrt(72) + 3*sqrt(72))/sqrt(6)).
-3*sqrt(19)
Simplify 5*sqrt(2) + -2 - sqrt(10)/sqrt(180).
-2 + 29*sqrt(2)/6
Simplify (sqrt(1216) - sqrt(19))**2 + 2 - (1 + sqrt(19) + -5).
-sqrt(19) + 937
Simplify ((sqrt(304) + 0)*2)**2.
1216
Simplify sqrt(847)*1 + 2 - ((2*sqrt(252))**2 + 5).
-1011 + 11*sqrt(7)
Simplify (-5*((-1*sqrt(132)*-1 - sqrt(132) - sqrt(132)) + sqrt(132))/(sqrt(960)/sqrt(5)))**2.
0
Simplify -1*(sqrt(3) + 0) + (sqrt(6)/sqrt(2))**2*5.
-sqrt(3) + 15
Simplify 0 + (sqrt(567) - ((-1*sqrt(567))**2 + -5)).
-562 + 9*sqrt(7)
Simplify sqrt(32)/sqrt(4) - (sqrt(128) + 1)**2.
-129 - 14*sqrt(2)
Simplify ((sqrt(130) + sqrt(130)*1)*5)/((-1*sqrt(100) - sqrt(100))/sqrt(10)).
-5*sqrt(13)
Simplify 1*(-5 + sqrt(98) + 2).
-3 + 7*sqrt(2)
Simplify -5 + sqrt(637) + 0 + sqrt(637) + sqrt(637).
-5 + 21*sqrt(13)
Simplify (sqrt(2268) - (1 + sqrt(2268))) + (sqrt(2268) + -1*sqrt(2268) + sqrt(2268))**2.
2267
Simplify (1*sqrt(325) - sqrt(325))*6 - (0 + sqrt(325) + sqrt(325))*2.
-20*sqrt(13)
Simplify (-4 + sqrt(1053)*2 - sqrt(1053))**2 + (sqrt(1053) - (sqrt(1053) + 0)) + 0.
-72*sqrt(13) + 1069
Simplify 5 + (sqrt(18) - (sqrt(18) + 0)).
5
Simplify (sqrt(425) - (sqrt(425) + sqrt(425) + -2 + 5))**2.
30*sqrt(17) + 434
Simplify 5*sqrt(931)*2.
70*sqrt(19)
Simplify (5 + sqrt(13) + 1)*-5.
-30 - 5*sqrt(13)
Simplify (-1 + -4 + 0 + sqrt(243) + -4)**2.
-162*sqrt(3) + 324
Simplify ((sqrt(7) - (0 + sqrt(7))) + -5)**2*2.
50
Simplify (sqrt(26)/(-1*sqrt(8)) + 4)*-1.
-4 + sqrt(13)/2
Simplify (4 + 3*sqrt(208))**2.
96*sqrt(13) + 1888
Simplify (sqrt(448) + 1 + sqrt(448))*5.
5 + 80*sqrt(7)
Simplify -5 + (6*(-1*sqrt(2) - sqrt(2)))**2*-1.
-293
Simplify ((sqrt(66)*-2)/sqrt(6))**2 - sqrt(11) - sqrt(275)*-2.
9*sqrt(11) + 44
Simplify (-2*sqrt(14)*-3)/(sqrt(21)/(sqrt(3) - sqrt(12) - sqrt(3))).
-12*sqrt(2)
Simplify (-4 + (sqrt(832) - (sqrt(832) - (2 + sqrt(832) + sqrt(832)))) + sqrt(832))**2 - (1 + sqrt(832)*-1).
-88*sqrt(13) + 7491
Simplify sqrt(405) + 5.
5 + 9*sqrt(5)
Simplify ((1 + (sqrt(19)*-2 + sqrt(19) - sqrt(19)) - (sqrt(152)/sqrt(32))**2) + -5)*3.
-105/4 - 6*sqrt(19)
Simplify (sqrt(1100)*-5)**2.
27500
Simplify -5*(-4*-4*sqrt(132))/sqrt(12).
-80*sqrt(11)
Simplify (-3 + 3 + sqrt(19)*1)**2.
19
Simplify (sqrt(180) + 1 + sqrt(180) + -2)**2.
-24*sqrt(5) + 721
Simplify (-5*(-1*sqrt(133) - sqrt(133)) - sqrt(133))/(sqrt(343) - ((sqrt(343) - (sqrt(343)*2 + sqrt(343))) + sqrt(343))).
9*sqrt(19)/14
Simplify (-1*(3 + sqrt(567)) + sqrt(567))**2.
9
Simplify ((sqrt(204) + 2*sqrt(204))*-5)/(-2*sqrt(1452)).
15*sqrt(17)/22
Simplify (3 + -2*sqrt(833))**2.
-84*sqrt(17) + 3341
Simplify sqrt(70)/(sqrt(100)/(-1*sqrt(10))).
-sqrt(7)
Simplify -5*((sqrt(11) + ((sqrt(11) - 1*sqrt(11)) + sqrt(11) - sqrt(11))**2)*2 - ((sqrt(11) + -1)**2 + sqrt(11))*2).
-20*sqrt(11) + 120
Simplify 4 + (sqrt(2) + sqrt(20)/(sqrt(40)/sqrt(4)))**2.
12
Simplify 3*(-4 + -1*sqrt(75) + sqrt(75) + -3)**2.
147
Simplify sqrt(77)/((1*sqrt(99))/sqrt(9)).
sqrt(7)
Simplify -1*(-1 + sqrt(500))*2.
-20*sqrt(5) + 2
Simplify sqrt(136)/(sqrt(24)/(sqrt(18)/sqrt(6))).
sqrt(17)
Simplify -1 + -2 + (-1 + sqrt(19))**2 + 2.
-2*sqrt(19) + 19
Simplify ((sqrt(80) + -1)*2)**2.
-32*sqrt(5) + 324
Simplify (-5*(4 + sqrt(200) + sqrt(200)*-2))**2.
-2000*sqrt(2) + 5400
Simplify (-5*(sqrt(114) + sqrt(114) + -1*sqrt(114) + sqrt(114) - sqrt(114)))/(sqrt(6)*-2*-2).
-5*sqrt(19)/4
Simplify sqrt(91)/(-4*(sqrt(7) + sqrt(7)*2)).
-sqrt(13)/12
Simplify (sqrt(3388)*1 + sqrt(3388) + sqrt(3388))/(2*sqrt(324)).
11*sqrt(7)/6
Simplify -4 + (2*sqrt(245))**2.
976
Simplify (6*(sqrt(1216)*1 + 2))**2.
1152*sqrt(19) + 43920
Simplify ((-3 + sqrt(243))*-3)**2 + sqrt(243).
-477*sqrt(3) + 2268
Simplify (sqrt(405) + 1)**2 + sqrt(405).
27*sqrt(5) + 406
Simplify 5 + 6*(sqrt(252) + -5).
-25 + 36*sqrt(7)
Simplify (1*(1*sqrt(70) + sqrt(70)))/(sqrt(1000) - -1*sqrt(1000)).
sqrt(7)/10
Simplify (sqrt(95)/(sqrt(405)*2))**2.
19/324
Simplify (4 + (-1*sqrt(187))/sqrt(11))**2.
-8*sqrt(17) + 33
Simplify -1*1*(sqrt(504) - (sqrt(504) - (sqrt(504) - (sqrt(504) - -2*sqrt(504))) - sqrt(504)))/sqrt(2).
6*sqrt(7)
Simplify sqrt(567) + ((sqrt(567)*-1 + sqrt(567))*-3 + sqrt(567))**2 - (-1 + -2 + sqrt(567))**2.
-9 + 63*sqrt(7)
Simplify (1 + sqrt(80) + 2*sqrt(80))**2.
24*sqrt(5) + 721
Simplify (sqrt(19) + -1*sqrt(1539) + 1 + sqrt(171))**2*-5.
-2380 + 50*sqrt(19)
Simplify sqrt(864)/sqrt(8) + (sqrt(75) + sqrt(3))*-5.
-24*sqrt(3)
Simplify (sqrt(12)*-2*-2)/sqrt(4).
4*sqrt(3)
Simplify -3 + sqrt(80) - (sqrt(320) + -3).
-4*sqrt(5)
Simplify 2*(-3 + 1 + sqrt(48) - sqrt(48)).
-4
Simplify (sqrt(99) - (sqrt(99) + 2 + 2) - (-2*(-2 + sqrt(99)) - sqrt(99)))**2.
-144*sqrt(11) + 955
Simplify -5 + -4*(0 + sqrt(2) + -3)**2.
-49 + 24*sqrt(2)
Simplify 3*(2 + sqrt(63) + -5 + sqrt(63) + -4).
-21 + 18*sqrt(7)
Simplify 5 + (sqrt(55)/(sqrt(245)*-2))**2.
991/196
Simplify (2 + -5*sqrt(75) - sqrt(75) - sqrt(75))**2.
-140*sqrt(3) + 3679
Simplify ((-6*2*sqrt(102) + sqrt(102))/((sqrt(90)/sqrt(5))/sqrt(3)))**2.
2057
Simplify (3 + (sqrt(272) - (-2 + 1 + sqrt(272))))*-5.
-20
Simplify (sqrt(1573) - sqrt(1573)*1*-2)**2.
14157
Simplify (sqrt(77) - sqrt(77)*-3*-5)/(sqrt(55)/(sqrt(5) - (1*sqrt(5) - sqrt(5)))).
-14*sqrt(7)
Simplify 3*(sqrt(12)/sqrt(4))**2*-1 + -1.
-10
Simplify -4 + (sqrt(21)/(sqrt(7) + sqrt(700) + 1*sqrt(700)))**2.
-587/147
Simplify (sqrt(720) - (sqrt(720) + 0 - sqrt(720))) + 0 + -5.
-5 + 12*sqrt(5)
Simplify (-1*sqrt(288))**2 - ((sqrt(20)*-3)/sqrt(10))**2.
270
Simplify -5*2*sqrt(3)*1.
-10*sqrt(3)
Simplify 1*(1*sqrt(19) + sqrt(19)) + (4 + 1*sqrt(19))**2 + sqrt(19).
35 + 11*sqrt(19)
Simplify (2*sqrt(252) + 3)**2*-6 + 1.
-6101 - 432*sqrt(7)
Simplify (sqrt(720)*1 + -4 + 6*sqrt(720)*1)**2.
-672*sqrt(5) + 35296
Simplify -5*(sqrt(30)/(sqrt(486)*-2))**2.
-25/324
Simplify (sqrt(272) + 1*sqrt(272)*-3)**2 + 3 + -4.
1087
Simplify (-4*(4 + -2*sqrt(300)))**2.
-2560*sqrt(3) + 19456
Simplify (-1 + sqrt(1900) + -3 + -3*2*sqrt(1900))**2.
400*sqrt(19) + 47516
Simplify sqrt(153)/(-1*sqrt(9)) - ((sqrt(187)*3)/sqrt(11) - sqrt(17)).
-3*sqrt(17)
Simplify ((2 + 2*sqrt(19) + -4)*-5)**2.
-200*sqrt(19) + 2000
Simplify -4 + sqrt(432)/sqrt(9).
-4 + 4*sqrt(3)
Simplify 2 + (1 + sqrt(68) + 0)**2.
4*sqrt(17) + 71
Simplify -2*(1 + sqrt(11) + sqrt(11)) - ((sqrt(330)/sqrt(6))/sqrt(5))**2.
-4*sqrt(11) - 13
Simplify (sqrt(1331) + sqrt(1331)*-3)*4.
-88*sqrt(11)
Simplify sqrt(320)*-3 + 5.
-24*sqrt(5) + 5
Simplify ((sqrt(136) - -1*sqrt(136))*1 - sqrt(136))/(sqrt(24)/sqrt(3)*-2).
-sqrt(17)/2
Simplify (0 + sqrt(272) - sqrt(17) - ((sqrt(17) - sqrt(425)) + 4))**2.
-56*sqrt(17) + 849
Simplify ((sqrt(3) - -5*(sqrt(3) - sqrt(48))) + 2)**2.
-56*sqrt(3) + 592
Simplify 5 + (sqrt(304) + sqrt(304) + sqrt(304) + sqrt(304)*2 + sqrt(304) + -3)**2.
-144*sqrt(19) + 10958
Simplify 1*(-1*sqrt(20) - sqrt(20) - -5*sqrt(45))**2.
605
Simplify ((sqrt(468)/(sqrt(36)/sqrt(3)))/sqrt(3))**2.
13
Simplify 4*(4 + 4*sqrt(405)).
16 + 144*sqrt(5)
Simplify (sqrt(17) + sqrt(17) + sqrt(17)*-1 + -4 + sqrt(17) + 5 + sqrt(17) + -1)**2.
153
Simplify (sqrt(2448) - (sqrt(2448) + -1))*-6*-3 + -4.
14
Simplify ((1 + sqrt(288))**2 + sqrt(288))*5 + (1*sqrt(288) + 1 - sqrt(288))**2.
180*sqrt(2) + 1446
Simplify (1 + -4*sqrt(7)*5)**2.
-40*sqrt(7) + 2801
Simplify (1 + sqrt(7))*6*4.
24 + 24*sqrt(7)
Simplify sqrt(132)/sqrt(3)*4.
8*sqrt(11)
Simplify (sqrt(112) + sqrt(7))*4 + ((-1*sqrt(28))**2 - sqrt(28)).
28 + 18*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
hat is prob of sequence nnnm when four letters picked without replacement from {n: 3, h: 1, m: 4}?
1/70
Two letters picked without replacement from sxhhsshsggsxxhszsg. What is prob of sequence xx?
1/51
Calculate prob of sequence ssf when three letters picked without replacement from jsqqggsjqjgsfshh.
1/280
Two letters picked without replacement from xvkkxvikixxx. What is prob of sequence xk?
5/44
Four letters picked without replacement from bkbmtttkjbbjvkb. Give prob of sequence bmtb.
1/546
Four letters picked without replacement from uhhrhurrr. Give prob of sequence rrru.
1/63
What is prob of sequence pa when two letters picked without replacement from {p: 2, a: 1, h: 2}?
1/10
Calculate prob of sequence jjjr when four letters picked without replacement from jjjjjjjjjjjrjjjrjjj.
5/57
Three letters picked without replacement from llloaflbbl. Give prob of sequence lfa.
1/144
Calculate prob of sequence ii when two letters picked without replacement from ifiikikikikkfakkkfk.
5/57
Three letters picked without replacement from {e: 3, g: 4, l: 1, p: 1, o: 2, s: 1}. Give prob of sequence ogo.
1/165
Calculate prob of sequence tq when two letters picked without replacement from {d: 1, m: 1, t: 1, e: 1, q: 1}.
1/20
Calculate prob of sequence kqk when three letters picked without replacement from kyykekkeqekey.
5/429
What is prob of sequence oggo when four letters picked without replacement from gogggoogoo?
5/63
Three letters picked without replacement from {z: 1, c: 1, n: 5, w: 1, j: 3, q: 3}. What is prob of sequence qjn?
15/728
Two letters picked without replacement from {a: 1, d: 5, i: 10, v: 1}. What is prob of sequence dv?
5/272
Calculate prob of sequence bttt when four letters picked without replacement from ktktkkvkbtbvbkrkkkb.
1/3876
Calculate prob of sequence lav when three letters picked without replacement from cvcbclllallb.
1/264
Two letters picked without replacement from {r: 3, e: 3, o: 4, k: 1, p: 2, l: 3}. What is prob of sequence lo?
1/20
Four letters picked without replacement from zkvkykjkzzj. Give prob of sequence zkvk.
1/220
Three letters picked without replacement from {i: 3, r: 2, e: 4, h: 2}. Give prob of sequence rre.
4/495
Three letters picked without replacement from {z: 3, s: 1, c: 1, i: 1, u: 5}. What is prob of sequence zcs?
1/330
What is prob of sequence ppup when four letters picked without replacement from {u: 6, p: 6}?
2/33
Two letters picked without replacement from vxmtxv. Give prob of sequence vt.
1/15
What is prob of sequence cy when two letters picked without replacement from wpyhpcjy?
1/28
Three letters picked without replacement from {o: 3, m: 9, c: 2, q: 2}. What is prob of sequence cmo?
9/560
Three letters picked without replacement from oooo. Give prob of sequence ooo.
1
Two letters picked without replacement from qbobooqqzbq. What is prob of sequence qb?
6/55
What is prob of sequence ucmm when four letters picked without replacement from {v: 3, c: 2, u: 5, m: 3}?
1/286
What is prob of sequence ig when two letters picked without replacement from aiaagagyaaarggarrya?
2/171
Four letters picked without replacement from uaua. Give prob of sequence aauu.
1/6
Calculate prob of sequence svy when three letters picked without replacement from {v: 1, y: 3, s: 5}.
5/168
Calculate prob of sequence si when two letters picked without replacement from risxx.
1/20
Three letters picked without replacement from vjojoouo. What is prob of sequence ojj?
1/42
Four letters picked without replacement from rrmrrmmrmmmmm. What is prob of sequence rrmm?
28/429
Four letters picked without replacement from snuunnnsuu. Give prob of sequence nuun.
1/35
Three letters picked without replacement from bybiteo. What is prob of sequence tby?
1/105
Three letters picked without replacement from {v: 1, c: 1, n: 2, t: 1}. What is prob of sequence cvt?
1/60
What is prob of sequence kk when two letters picked without replacement from {f: 1, d: 1, k: 5, w: 2, m: 1}?
2/9
Two letters picked without replacement from qkceo. Give prob of sequence qo.
1/20
Two letters picked without replacement from kgkkkgggkkgzgnkggg. What is prob of sequence kk?
7/51
Calculate prob of sequence uwj when three letters picked without replacement from {w: 1, u: 2, j: 1}.
1/12
What is prob of sequence qoq when three letters picked without replacement from oqqeqqqqq?
1/12
What is prob of sequence uuh when three letters picked without replacement from {h: 1, m: 5, u: 4, z: 5}?
2/455
Calculate prob of sequence vv when two letters picked without replacement from nnnrvnvrr.
1/36
What is prob of sequence zfr when three letters picked without replacement from fnwwrnwwznz?
1/495
Two letters picked without replacement from mimmmoiooooooommmom. Give prob of sequence mi.
8/171
Calculate prob of sequence ttz when three letters picked without replacement from tzttztttttzttt.
55/364
Three letters picked without replacement from hnhnhhhnnhhhn. What is prob of sequence hhh?
28/143
Three letters picked without replacement from bubqqmudmdxbbxdqxduq. What is prob of sequence xbx?
1/285
Calculate prob of sequence vvrv when four letters picked without replacement from {r: 6, c: 4, d: 3, s: 4, v: 3}.
1/3230
Four letters picked without replacement from {y: 4, a: 4, c: 6}. What is prob of sequence ayay?
6/1001
Two letters picked without replacement from {q: 2, w: 8, f: 1, s: 2}. Give prob of sequence qs.
1/39
Calculate prob of sequence kikk when four letters picked without replacement from {k: 11, i: 5}.
165/1456
What is prob of sequence efe when three letters picked without replacement from xefffffexexfex?
3/91
Calculate prob of sequence fmy when three letters picked without replacement from {m: 1, k: 5, f: 4, q: 1, y: 3, r: 1}.
2/455
Calculate prob of sequence cgc when three letters picked without replacement from qqqongcgggqqoagqcaac.
1/228
Four letters picked without replacement from {q: 1, y: 17, f: 1}. Give prob of sequence yyqy.
5/114
Two letters picked without replacement from bxwbwbxbbxw. Give prob of sequence xx.
3/55
What is prob of sequence ww when two letters picked without replacement from ojjpwpjpojjjw?
1/78
What is prob of sequence gi when two letters picked without replacement from kiidddgdgsiggd?
6/91
Three letters picked without replacement from {q: 1, p: 2, z: 1, y: 1}. Give prob of sequence zyq.
1/60
Calculate prob of sequence gy when two letters picked without replacement from {o: 2, m: 1, y: 1, h: 4, g: 1, j: 3}.
1/132
Three letters picked without replacement from {i: 1, e: 1, b: 1, u: 2}. Give prob of sequence eub.
1/30
Four letters picked without replacement from rdrrdqrrzrrd. What is prob of sequence qrzd?
7/3960
What is prob of sequence nryy when four letters picked without replacement from {y: 4, r: 1, n: 2, c: 2}?
1/126
Calculate prob of sequence nrrt when four letters picked without replacement from rrznrzxtzjjrzn.
1/1001
What is prob of sequence kmjx when four letters picked without replacement from {m: 1, k: 1, y: 2, x: 1, j: 2, q: 1}?
1/840
Four letters picked without replacement from {z: 5, k: 3, h: 7, l: 4}. What is prob of sequence hkhz?
35/5168
Calculate prob of sequence yyy when three letters picked without replacement from {y: 9, a: 11}.
7/95
Calculate prob of sequence ff when two letters picked without replacement from rvmfrvrvrrirvvdvvrfr.
1/190
Three letters picked without replacement from {y: 1, w: 5, r: 2, d: 3, h: 3, u: 1}. What is prob of sequence wrw?
4/273
Three letters picked without replacement from ffzvlzzvzlljzffzl. What is prob of sequence zvv?
1/340
Three letters picked without replacement from {a: 3, v: 3, b: 2}. Give prob of sequence abv.
3/56
Three letters picked without replacement from {p: 1, w: 1, q: 2}. Give prob of sequence pqq.
1/12
Three letters picked without replacement from {r: 3, f: 1, n: 3, u: 1, y: 3}. Give prob of sequence fny.
1/110
Two letters picked without replacement from vuuuv. Give prob of sequence uv.
3/10
Calculate prob of sequence jycj when four letters picked without replacement from jjjqyqjccc.
1/140
Two letters picked without replacement from {t: 9, i: 3}. Give prob of sequence ii.
1/22
Calculate prob of sequence iiip when four letters picked without replacement from {q: 1, i: 4, b: 1, p: 1, t: 4}.
1/330
Calculate p | {
"pile_set_name": "DM Mathematics"
} |
- 16. Let m(k) = 8*o(k) + 7*w(k). Solve m(t) = 0 for t.
-9, 0, 3/2
Factor -129554216/5 - 768108/5*w - 1/5*w**3 - 1518/5*w**2.
-(w + 506)**3/5
Suppose 3*i + 14 = 19*l - 17*l, 10 = 4*l + 3*i. Let p(a) be the first derivative of 23 - 4*a**2 - l*a - 4/3*a**3. Determine z so that p(z) = 0.
-1
Let v(s) be the first derivative of -s**6/720 - s**5/120 + s**4/6 - 25*s**3/3 - 2*s**2 - 75. Let c(m) be the third derivative of v(m). Factor c(p).
-(p - 2)*(p + 4)/2
Let d = -575 + 574. Let q be ((-141)/(-470))/(d/(-10)). Suppose 5/3*m + 0 + 5/6*m**q + 5/2*m**2 = 0. What is m?
-2, -1, 0
Let q be (0/((-25)/(-300)*(1 - -11)))/(-6). Solve 3/5*t - 3/5*t**2 + q = 0.
0, 1
Let h be (-4)/((-16)/1) + (-175190)/(-360). Let k = 488 - h. Factor -14/9*c - k*c**3 - 2*c**2 - 2/9*c**4 - 4/9.
-2*(c + 1)**3*(c + 2)/9
Let l(j) = -51*j**5 + 150*j**4 - 270*j**3 + 192*j**2 - 75*j - 18. Let z(o) = -o**5 - o**4 - o**3 - o - 2. Let u(g) = l(g) - 12*z(g). Factor u(v).
-3*(v - 1)**4*(13*v - 2)
Let b = 1/1576 - -785/4728. Let g(o) be the second derivative of 0 - 12*o - 1/20*o**5 + 0*o**4 + b*o**3 + 0*o**2. Factor g(v).
-v*(v - 1)*(v + 1)
Let b(f) be the second derivative of -28 + 1/48*f**4 - 23/12*f**3 - 2*f + 529/8*f**2. Suppose b(g) = 0. Calculate g.
23
Let m = 113541 - 113539. Let 0*s + 2*s**m + 0 - 1/3*s**3 = 0. What is s?
0, 6
Let b(u) = -u**5 - 5*u**4 - u**3 + 31*u**2 - 18*u + 12. Let g(l) = -l**4 - l**3 - l - 6. Let w(a) = -2*b(a) - 4*g(a). Factor w(x).
2*x*(x - 1)**2*(x + 4)*(x + 5)
Let x(p) = 9*p**2 + 1. Let w(m) = m**3 - m**2 + m + 1. Let s(r) = w(r) + x(r). Let b be s(0). Factor 2/5*n**4 + 0 - 2/5*n**b + 2/5*n**3 + 0*n - 2/5*n**5.
-2*n**2*(n - 1)**2*(n + 1)/5
Let r = 126 + -124. Factor -r + 3*w - 84*w**2 - w**3 + 84*w**2.
-(w - 1)**2*(w + 2)
Factor 19*s**2 - 10*s + 68 - s**4 + 69 + 75 - 212 - 8*s**3.
-s*(s - 1)**2*(s + 10)
Let k(n) = -n**3 + 8*n**2 - 4*n + 2. Let f be k(2). Suppose 4*a = -a - x + 12, -f = -4*a + 2*x. Solve -3*g**3 + g**3 - 2*g**3 + 2*g**a - 2*g**2 = 0.
-1, 0
Let p(q) be the second derivative of q**4/36 + q**3/9 - 323*q**2/6 - 3107*q. Factor p(t).
(t - 17)*(t + 19)/3
Let w = -2053265/6726 - -19380/59. Let l = 444/19 - w. Factor -1/3*n + 0 - l*n**2.
-n*(n + 2)/6
Let s(r) be the first derivative of r**6/90 - r**5/30 - 10*r**4/3 + 86*r**3/3 - 134. Let i(b) be the third derivative of s(b). Factor i(n).
4*(n - 5)*(n + 4)
Let n(p) = 9*p**3 + 7242*p**2 - 6. Let j(o) = -11*o**3 - 7241*o**2 + 8. Let w(b) = 3*j(b) + 4*n(b). Solve w(a) = 0 for a.
-2415, 0
Suppose -2 + 14 = -x. Let j be ((-224)/x)/(-8)*(-12)/21. Factor 2/3*y**5 + 0*y**4 + 2*y + 4/3*y**2 - 8/3*y**3 - j.
2*(y - 1)**3*(y + 1)*(y + 2)/3
Suppose -7*p = -22*p + 75. Suppose 0 = -6*v + 4*v + 10, 5*q + p = 4*v. Factor 0 - 2/3*x**q - 2/3*x**2 - 2/9*x - 2/9*x**4.
-2*x*(x + 1)**3/9
Factor -7*r**3 - 42*r - 61/2*r**2 - 18 - 1/2*r**4.
-(r + 1)**2*(r + 6)**2/2
Let r(x) be the first derivative of 1/4*x**3 + 1/32*x**4 - 1/80*x**5 + 0*x + x**2 - 36. Let u(t) be the second derivative of r(t). Let u(c) = 0. What is c?
-1, 2
Suppose 2 = -38*j + 39*j. Let f = 27 + -12. Find b such that -f*b + 18*b**j - 4 - 5 + 6 = 0.
-1/6, 1
Suppose -23*q + 17*q + 150 = 0. Suppose -9*r - q = -133. Find s, given that 16/3 - 8*s - r*s**2 - 10/3*s**3 = 0.
-2, 2/5
Let r = -81 - -62. Let d be r/(-2)*4 - 2. Factor 549*v**3 + d*v + 67*v**2 - 7*v**2 + 4*v**4 - 521*v**3.
4*v*(v + 1)*(v + 3)**2
Let n(b) be the first derivative of 1/27*b**6 + 65/9*b**2 - 1/9*b**4 + 101 - 92/27*b**3 - 50/9*b + 14/45*b**5. Factor n(o).
2*(o - 1)**3*(o + 5)**2/9
Solve -73*p**2 - 456*p + 71*p**2 + 782*p + 996 = 0.
-3, 166
Let n(d) be the first derivative of -2*d**5/11 - 169*d**4/22 - 8*d**3 - 2934. Factor n(q).
-2*q**2*(q + 33)*(5*q + 4)/11
Let b(y) be the first derivative of 0*y + 4/35*y**5 - 1/21*y**6 + 179 + 3/14*y**4 - 4/7*y**2 - 8/21*y**3. What is f in b(f) = 0?
-1, 0, 2
Let n be ((-885)/60 - -15)/(-2) - 58/(-432). Let x(g) be the second derivative of 3*g + 0 - 1/2*g**2 + 1/9*g**3 - n*g**4. Determine q so that x(q) = 0.
3
Let h be 15/35 - (-5)/(70/22). Suppose 5*b**3 - 139*b**2 + 73*b**h + 76*b**2 - 40*b = 0. Calculate b.
-4, 0, 2
Let o(y) be the second derivative of -y**6/40 - y**5/30 + y**4/24 + 20*y**2 + 45*y. Let a(r) be the first derivative of o(r). Factor a(x).
-x*(x + 1)*(3*x - 1)
Suppose 13*l = 6 + 59. Suppose 198 = -l*q + 14*q. Suppose -h**2 - 22 + q + h = 0. Calculate h.
0, 1
Let b = -10103 - -363713/36. Let p(j) be the second derivative of 0*j**2 + 1/126*j**7 + b*j**4 - 1/9*j**3 - 1/90*j**6 - 1/20*j**5 - 16*j + 0. Factor p(r).
r*(r - 1)**3*(r + 2)/3
Let p(y) be the second derivative of y**8/4200 - y**6/900 - y**3/6 + y**2 + 2*y + 19. Let q(s) be the second derivative of p(s). Factor q(f).
2*f**2*(f - 1)*(f + 1)/5
Let b(i) be the third derivative of i**7/1470 - i**6/56 + 43*i**5/420 + 11*i**4/8 - 70*i**3/3 + 2472*i**2. Suppose b(u) = 0. Calculate u.
-4, 5, 7
Let v(k) be the first derivative of -11*k**3/8 - 183*k**2/8 - 33*k/8 + 432. Solve v(r) = 0 for r.
-11, -1/11
Let v(a) be the first derivative of a**5/10 - a**3/3 + 85*a - 48. Let b(g) be the first derivative of v(g). Factor b(x).
2*x*(x - 1)*(x + 1)
Determine s so that -3/4*s**5 - 7/4*s**4 - 27 + 79/4*s**3 - 81*s + 27/4*s**2 = 0.
-6, -2, -1/3, 3
Let b be (-330)/(-1540) + (-679)/(-1470)*3. Factor 8/5 + b*k - 6/5*k**2.
-2*(k - 2)*(3*k + 2)/5
Let a(i) be the first derivative of -1/3*i**6 + 0*i + 0*i**2 - 6/5*i**5 - 2/3*i**3 - 3/2*i**4 - 32. Factor a(v).
-2*v**2*(v + 1)**3
Factor 3655/6*v**2 - 13/2*v**4 + 4624*v - 1/6*v**5 - 29478 - 97/2*v**3.
-(v - 6)**2*(v + 17)**3/6
Let b(x) be the second derivative of -1/2*x**3 + 1/60*x**4 + 222*x + 0 + 7/5*x**2. Factor b(l).
(l - 14)*(l - 1)/5
Let g(j) be the first derivative of j**6/6 + j**5/2 - 5*j**4/4 - 112*j + 231. Let t(k) be the first derivative of g(k). Factor t(x).
5*x**2*(x - 1)*(x + 3)
Factor -9/5*t**3 + 18/5 + 51/5*t - 12/5*t**2.
-3*(t - 2)*(t + 3)*(3*t + 1)/5
Suppose 0 = r - 3. Suppose -39 = -2*a - r*m, 5*a - 6*m = -2*m + 40. Find c, given that -2*c**4 + 4*c**5 + 7*c**2 - 34*c**5 - a*c**2 + 37*c**4 = 0.
-1/3, 0, 1/2, 1
Factor -8/5*n**3 + 48/5*n**2 + 4 - 4/5*n**4 - 56/5*n.
-4*(n - 1)**3*(n + 5)/5
Let a(q) be the third derivative of -7*q**5/12 - 5905*q**4/4 - 5060*q**3/3 + q**2 + 5*q + 266. Factor a(u).
-5*(u + 1012)*(7*u + 2)
Determine y, given that -112*y**3 - 239*y**3 - 1915*y**4 + 5*y**2 - 1500*y**5 - 74*y**3 - 15*y**2 = 0.
-1, -1/4, -2/75, 0
Let a be (0/(-6))/((-3 + 0)/3). Let u(s) be the second derivative of 1/40*s**6 - 1/16*s**5 + 3*s + 0 + a*s**3 + 0*s**2 + 1/24*s**4. Solve u(w) = 0 for w.
0, 2/3, 1
Let q = -3260081 - -1339894667/411. Let s = q + -2/137. Factor 23/3*u + 10/3 - u**3 + s*u**2.
-(u - 5)*(u + 1)*(3*u + 2)/3
Let k be 4 + 55/(-50) - (-85)/850. Factor -1/9*j**4 + 0*j - 16*j**2 - 8/3*j**k + 0.
-j**2*(j + 12)**2/9
Let j(c) be the third derivative of c**5/75 - 433*c**4/15 + 374978*c**3/15 - 1488*c**2. Determine s, given that j(s) = 0.
433
Let u(m) = 4*m**2 + 23*m - 11. Suppose -6*p = -0*p - 132. Let y(b) = -232*b**2 + 215*b**2 + 43 - 52*b - 41*b. Let h(j) = p*u(j) + 6*y(j). Factor h(k).
-2*(k + 4)*(7*k - 2)
Let c(w) = -7*w**4 - 55*w**3 + 106*w**2 + 172*w + 6. Let t(v) = -12*v**4 - 110*v**3 + 211*v**2 + 342*v + 11. Let p(s) = 11*c(s) - 6*t(s). Solve p(o) = 0.
-1, 0, 4, 8
Let s(z) be the first derivative of -z**6/150 + 3*z**5/50 + 4*z**4/15 - 73*z - 81. Let q(i) be the first derivative of s(i). Factor q(u).
-u**2*(u - 8)*(u + 2)/5
Let u be (-9)/(-5) + (-2)/(-10). Let a = u - -2. Determine z, given that -46*z**a - 6*z**2 + 12*z**5 + 7*z**4 + 38*z**3 - 5*z**3 = 0.
0, 1/4, 1, 2
Suppose -3*t - 5*b = -41, 17*b + 74 = 4*t + 14*b. Suppose 5*i + 17 - t = 0. Suppose 8/5 - 2*c**2 + 2/5*c**4 + 0*c**3 + i*c = 0. What is c?
-2, -1, 1, 2
Let q(c) = -13*c**2 - 2*c + 12. Let b(d) = 37*d**2 + 6*d - 34. Let w(v) = 6*b(v) + 17*q(v). Let n(f) = -258*f - 5808. Let x(r) = -n(r) + 3*w(r). Factor x(t).
3*(t + 44)**2
Suppose -109*a = -118*a + 135. Suppose 5*i + j = 15, a*j = -i + 9*j + 3. Suppose -1/2*m**4 + 0*m - m**i + 0*m**2 + 0 = 0. What is m?
-2, 0
Suppose -1 = 3*d - 10. Suppose 12*n + 24 = 16*n. Solve 4*b - 12*b**5 - n*b**4 + 6*b**3 + 20*b**2 - 14*b**4 - b**3 + d*b**5 = 0 for b.
-2, -1, -2/9, 0, 1
Let a(w) = -8*w**5 - 36*w**4 - 220*w**3 - 396*w**2 - 204*w + 11. L | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 18*(o + 50/6) is divided by 33?
30
Let d(g) = 2*g**2 + g. Let p be (-1 + -4)/(-10)*4. Suppose -5*w = -7*w + p. Calculate the remainder when d(-1) is divided by w.
0
Suppose 779 = 2*x + 6*k - 11*k, 1552 = 4*x - 4*k. What is the remainder when x is divided by 16?
3
Suppose -34*i + 1653 - 89 = 0. What is the remainder when i is divided by 16?
14
Let i(r) = r + 1. Let j be i(4). Let u(y) = j*y - 2*y + 1 - 2*y + 0*y. What is the remainder when 20 is divided by u(6)?
6
Let p = -5517 + 5553. Calculate the remainder when p is divided by ((-1)/(-2))/((-2)/(-52)).
10
Let t = 67 - -29. Let o(b) = 2*b**2 + 78*b + 96. Calculate the remainder when t is divided by o(-38).
16
Suppose 5*z - 10*z = -40. Calculate the remainder when 61 is divided by z.
5
Let w be -31*((-14)/18 - 2/9). Let l = w - 7. Calculate the remainder when 67 is divided by l.
19
Let b(y) = 19*y - 31. Calculate the remainder when -26*(-3 - (-2 - 0)) is divided by b(2).
5
Let k(x) = -41*x - 273. Calculate the remainder when 545 is divided by k(-7).
13
Let h = 33 + -30. Suppose v - 4*v = -o + 9, h*v + 45 = 5*o. Calculate the remainder when 80 is divided by o.
8
Let s = -27 + 31. Suppose 10 = s*i - 26. Suppose -5*f = -i*f + 72. Calculate the remainder when f is divided by 7.
4
Let h(z) = -z**3 + 17*z**2 + 2*z - 25. Let a be h(17). Let o = 23 - a. What is the remainder when 22 is divided by o?
8
Suppose 5*s = -5*t + 75, -2*s + 4*t + 59 = 17. Let f = 5 + s. Calculate the remainder when 43 is divided by f.
21
Let o(m) = m**3 + 2*m**2 - 5. Let d be o(-4). Let z = -6 - d. Calculate the remainder when z is divided by 12.
7
Let m(s) = -s**3 - 2*s**2 + 4*s + 2. Let x be m(4). Let q = 119 + x. Suppose 0 = t - 1, 3*t - 34 + 119 = 4*h. Calculate the remainder when q is divided by h.
19
Let r be (3/6)/((-2)/(-16)). Suppose 5*f - l = -2*l + 85, r*f + 4*l - 68 = 0. What is the remainder when 64 is divided by f?
13
Let u be (1 + 0)/(-3 - 6/(-3)). Let h(z) = 68*z**2 + z + 2. Calculate the remainder when 272 is divided by h(u).
65
Suppose 6*b + 272 = 10*b. Suppose -4*t = -5*o + 253, -5*o + b = t - 175. Let p = o - 20. Calculate the remainder when p is divided by 15.
14
Let z = -766 - -1290. What is the remainder when z is divided by 31?
28
Suppose -3*a + 16 = 133. Let y = a + 83. Calculate the remainder when y is divided by 12.
8
Suppose 236*i = 233*i + 2901. What is the remainder when i is divided by 19?
17
Let x = 4 + 25. Suppose -2*s + 1 + 9 = 0. Suppose -s*i = -16 - x. What is the remainder when 23 is divided by i?
5
Suppose a - 6 = 2*q, -3*q - 5 = -2*a + 4. Let g(f) = 31*f**2 + 7*f - 1. Calculate the remainder when q*(344/(-6))/4 is divided by g(-1).
20
Suppose 4*p + 924 = 2*o, 2278 = 5*o - 8*p + 6*p. What is the remainder when o is divided by 13?
12
Let a(b) = -b + 2. Let h be a(6). Let j(d) = d**3 + 6*d**2 + 5*d + 1. Suppose -3 = -4*r + 17. Calculate the remainder when j(h) is divided by r.
3
Let f = 211 + -34. Calculate the remainder when f/9 + (-10)/(-30) is divided by 9.
2
Let a(t) = t**3 + 9*t**2 + 5*t - 35. What is the remainder when 109 is divided by a(-7)?
25
Suppose -5*n + 17 = 5*j - 18, 2*j - 16 = -4*n. Let k be 4/(16/j - 2). Calculate the remainder when 29 is divided by -7 + k + -1 + 10.
5
Suppose 72 = 6*o - 936. What is the remainder when o is divided by 22?
14
Suppose -10*q + 112 = -14*q. Let g = q - -46. Calculate the remainder when g is divided by 12.
6
Suppose -4*p + 145 = 3*b - 174, b - 79 = -p. Suppose w + 58 = 5*u, 24 = -5*w + 2*u - 174. Let q = p + w. Calculate the remainder when q is divided by 15.
14
Suppose 11*h = 5*h + 84. Calculate the remainder when 137 is divided by h.
11
Let u(h) = 49*h**2 + 5*h + 3. Calculate the remainder when 280 is divided by u(-1).
45
Let r be (-135)/(-20) - 6/8. Suppose -3*a = -r*a + 93. Suppose -23 = -2*v + 11. Calculate the remainder when a is divided by v.
14
What is the remainder when 180/(-40)*(1 + 26/(-6)) is divided by 9?
6
Let s(k) = -31*k - k**2 - 3 + 2 - 29 + 12*k. Calculate the remainder when s(-11) is divided by 21.
16
Let s = 310 - 306. Let q(v) = 16*v**2 - 2*v - 1. What is the remainder when q(-1) is divided by s?
1
Let n(h) be the second derivative of 19*h**3/6 - 11*h**2/2 + 44*h. What is the remainder when n(4) is divided by 33?
32
Suppose 17*x + 15*x = 22560. What is the remainder when x is divided by 59?
56
Suppose -169*f = -173*f + 240. What is the remainder when 166 is divided by f?
46
Suppose -3*s + u + 96 = 0, -u + 120 = 4*s - 5*u. Let v(y) = -11*y + 30. What is the remainder when v(-12) is divided by s?
30
Let x(m) be the second derivative of m**5/20 - m**4/4 + m**3/6 + 2*m**2 + 22*m. Suppose -1 = -u + 1. What is the remainder when x(3) is divided by u?
1
Suppose -499*b - 791 = -506*b. Suppose 2*f - 87 = -f. What is the remainder when b is divided by f?
26
Calculate the remainder when 4*(7 - 0 - -31) is divided by 12.
8
Let i(j) = -j**3 + 6*j**2 + 18*j - 4. Calculate the remainder when i(7) is divided by 63.
10
Suppose 2*m + 0*m - 4 = 0. Suppose 3*h = -a + 5, -5*a - h + 7 = -m*a. What is the remainder when 32 is divided by (-330)/(-20)*a/3?
10
Let g = -308 - -319. Calculate the remainder when g is divided by 8.
3
Let l = 20 + -19. Let u(f) = -f**2 - 7*f + 7. Let p be u(-8). Calculate the remainder when l is divided by 8/12 + p/(-3).
0
Let i(h) = h**3 + 3*h**2 - 36*h - 15. Let w = -11 + 32. What is the remainder when i(-7) is divided by w?
20
Let q(y) = y**2 + 9*y + 18. Let r be (-1 - -1)/3 - -9. Suppose -3 = -3*j + r. Calculate the remainder when q(-8) is divided by j.
2
Let i(b) = -127*b + 19. What is the remainder when i(-1) is divided by 25?
21
Let n = 100 + -89. What is the remainder when 2/3 + (-220)/(-3) is divided by n?
8
Let m(s) = 3*s + 4. Let i(r) = r**3 + 11*r**2 - 11*r + 27. Let g be i(-12). Let v = g - -48. What is the remainder when v is divided by m(4)?
15
Suppose -10*y = -4*y - 126. Let u = 20 - 15. Calculate the remainder when y is divided by u.
1
What is the remainder when 53 is divided by (1 + (-5)/(-2))*(-6 + 8)?
4
What is the remainder when 52 is divided by ((-17)/34)/((-3)/168)?
24
Let f = -692 - -1223. Suppose -f = 18*g - 1683. Let x(v) = v**2 + 3*v - 6. Calculate the remainder when g is divided by x(-7).
20
What is the remainder when (10/(-20))/1*-190 is divided by 33?
29
Suppose 0 = 11*o - 69 - 8. Let q(p) = p**2 - 6*p + 18. Calculate the remainder when 47 is divided by q(o).
22
Let k(r) = r**2 - r - 1. Let s(q) = -5*q**2 + 10*q - 20. Let a(m) = 6*k(m) + s(m). Let x = 7 - -2. What is the remainder when x is divided by a(-8)?
3
Suppose -5*v + 309 = -3*n, -2*v + 0*n - 3*n = -111. Calculate the remainder when 175 is divided by v.
55
Suppose 2*l + 16*a = 21*a + 157, 2*l - 4*a - 160 = 0. What is the remainder when 599 is divided by l?
83
Let w(u) = -u**3 + 12*u**2 - 6*u + 11. Let x be w(12). Let l = -44 - x. Calculate the remainder when 66 is divided by l.
15
Let f = -133 - -349. Suppose -d + f = 8*d. What is the remainder when 116 is divided by d?
20
Suppose 2*t + 9 = 5*t. What is the remainder when 2/t*-3 + 119 is divided by 17?
15
Let w(z) = 128*z**2 + 6*z - 5. Let u be w(3). Suppose 0 = -12*a + 17*a - u. Calculate the remainder when a is divided by 39.
38
Let r = -99 - -93. Suppose z = 9 + 1. What is the remainder when ((-63)/(-35))/(r/(-130)) is divided by z?
9
What is the remainder when 301 is divided by (-8)/(9 - 132/12)?
1
Suppose -7*d + 99 = -34. What is the remainder when 28 is divided by d?
9
Let q = 41 + -24. What is the remainder when q is divided by (-15)/(-2) + -6*10/40?
5
Suppose -2*q + 5*q - 114 = 0. Let y = 34 - q. What is the remainder when 7 is divided by y/((-24)/(-9))*-2?
1
Let k(b) = 2*b**3 + 19*b**2 + 7*b - 47. Let p(r) = r**3 + 10*r**2 + 3*r - 24. Let j(t) = 3*k(t) - 7*p(t). What is the remainder when 160 is divided by j(-13)?
25
What is the remainder when (-2)/(-4 - (-80)/(-75) - -5) is divided by -2*(-1)/(-1) + 19?
13
Suppose -4*j - j - g + 3659 = 0, g = j - 727. Calculate the remainder when j is divided by 15.
11
Let x = -399 + 623. What is the remainder when x is divided by 15?
14
Suppose 2*k - 6*k = 0. Suppose k = -0*h + 2*h - 238. What is the remainder when h is divided by 40?
39
Suppose 3*g + 20 = -2*g, -2*r + 4*g + 20 = 0. Suppose -15*p = -10*p + 55. Wha | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of x?
0
Suppose 5*p + 48960 = -7*f + 10*f, 3*f + 3*p = 49008. What is the hundreds digit of f?
3
Suppose 0 = -171*u + 3143856 - 1211325 + 4622070. What is the thousands digit of u?
8
Suppose 2*j + 7093 = -5*f + 27302, -2*j + 7*f = -20149. What is the hundreds digit of j?
0
Suppose 22*o - 17683 = -50*o + 1103357. What is the units digit of o?
0
Suppose t + 2*y = 1860, 4*t + 2*y = 6424 + 998. What is the thousands digit of t?
1
Let t(f) = -2*f**2 + 20*f + 30. Let k be t(13). What is the units digit of 12027/24 - (-6)/k?
1
Let l be (-1)/4 + (-6)/(-24). Let p = -37 - -40. Suppose l = -p*s - s + 88. What is the units digit of s?
2
Suppose 0 = 16*c - 3*c - 29328. Let v = -1592 + c. What is the hundreds digit of v?
6
Let x(j) = -j - 9. Let m be x(-13). Suppose 0 = -2*f - 5*z + 32, m*z + 8 = 2*f + 3*z. What is the units digit of (-390)/(-12) + 3/f?
3
Suppose 4*y - 2 = 2*o - 0, -5*y = -o - 7. Let h = -1614 - -1617. Suppose -4*f + y*c = -c - 803, -h*f = -4*c - 611. What is the tens digit of f?
9
Suppose 7*v = -0*v + 54621. What is the units digit of v?
3
Suppose 0 = -28*u + 50*u - 583440. What is the tens digit of u?
2
Let o = 50048 + -11108. What is the thousands digit of o?
8
Suppose -28*r + 450876 - 3686416 = -149*r. What is the units digit of r?
0
Suppose -3*q = -q + 2. Let f = -4953 - -5104. Let r = q + f. What is the tens digit of r?
5
Suppose -9*x + 2*x = 28. What is the hundreds digit of (-2)/x*(29 - -1541)?
7
Suppose -5*x - 68735 = -3*m + 23369, m - 30720 = 4*x. What is the units digit of m?
8
Let v = -6350 - -9470. Let y = v - 1813. What is the tens digit of y?
0
Suppose 135*n = 1081155 + 777207 + 339438. What is the thousands digit of n?
6
Let h = -62 - -602. Suppose m - 5*m + 5 = -5*s, 1 = -m - s. Suppose -32*w + 36*w - h = m. What is the hundreds digit of w?
1
Let w be (-784)/(-44) + 2/11. Suppose -5*b + 2 = -w. Suppose -5*a = -b*a - 56. What is the tens digit of a?
5
Let z = 549 - 43. Suppose -119 - z = 5*x. What is the tens digit of 2/4 + x/(-10)?
1
Suppose -7*o - 23 + 72 = 0. Suppose -o = 2*d - 4*n - n, 3*d = 4*n. What is the units digit of 0/d - -3 - -3?
6
Suppose 370 = -y - 68. Let d = y - -805. What is the tens digit of d?
6
Let l be 4/(-26) + 280/130. Suppose 1 - 3 = -u, -l*u = 5*x - 14. Suppose b - x*t - 8 = -4*t, 3*t - 21 = -2*b. What is the tens digit of b?
1
Suppose 2*x - 56 = 28. Let k = x + -37. Suppose 43 = 2*j - k*c, -6*j - 3*c + 151 = -2*j. What is the tens digit of j?
3
Let n = 1816 + -1035. Let s = n - 466. Suppose -s = 5*l - 12*l. What is the units digit of l?
5
Let p(a) be the second derivative of 5*a**4/12 - a**3 + a**2/2 + 106*a. What is the hundreds digit of p(7)?
2
Let p = 36 - 23. Suppose p*k + 4*k - 21743 = 0. What is the thousands digit of k?
1
What is the thousands digit of (-20)/25 - ((-962814)/30 + -2)?
2
Let m be 2/1 + 2*63/3. Let z(t) = -67*t**3 + 3*t**2 - 4*t + 2. Let j be z(1). Let p = m - j. What is the units digit of p?
0
Let a = -13423 - -23848. What is the thousands digit of a?
0
Let m = -98 - -389. Let r = -270 + m. What is the tens digit of r?
2
Let u(x) = -919*x - 3445. What is the tens digit of u(-64)?
7
Suppose 0 = -x - 6*x. Suppose -j + 2 + 3 = x. Suppose -y + 379 = 3*o, 5*o - 424 - 211 = -j*y. What is the tens digit of o?
2
Let a(t) = 2*t**2 - 5*t + 4. Let p be a(2). Suppose p*h - 7319 = -11*h. What is the tens digit of h?
6
Suppose -509*y = -511*y + 398. Suppose -2*m - 4*v + 336 = 0, -m - 25 + y = -v. What is the tens digit of m?
7
Let r be (-1)/(-7) + (-8)/7. Let l(a) = -2*a**3 + 8*a**2 - 2*a - 5. Let s(y) = -y**3 + y. Let z(q) = r*l(q) + s(q). What is the tens digit of z(9)?
1
What is the tens digit of (-94)/((-2)/(-7) - (-3744)/(-12222))?
5
Let j(c) = 187*c + 604. What is the hundreds digit of j(42)?
4
Let i = -104 - -52. Suppose 86 = -6*u + 704. Let v = i + u. What is the tens digit of v?
5
Let x be (0/(-3) - 0) + 206. Let r(n) = 141*n**3 - 3*n**2 + n + 3. Let j be r(-1). Let i = x + j. What is the tens digit of i?
6
Let m(j) = j + 1. Let w(s) = -2*s**3 - 10*s**2 + 5*s + 2. Let n(q) = 6*m(q) - w(q). Let d be n(-5). What is the tens digit of 124 + -1 + (-5 - d)?
1
Let a(i) = 4*i - 29. Suppose 33 = 5*l - 7. Let w be a(l). Suppose 0 = 5*f - 2*b - 20 - 362, -w*b + 301 = 4*f. What is the units digit of f?
6
Let m(u) = -2*u**3 + 5*u**2 + 6*u + 6. Let q be m(-4). Suppose 29*h = 30*h - 3*z + 60, 0 = -z + 4. Let s = q + h. What is the units digit of s?
2
Let z be (501/(-9))/((-2)/66). Let u = z - -16. What is the thousands digit of u?
1
What is the units digit of (0/7)/(-1) - 5816/(-2)?
8
Let i(u) = 33*u - 44. Let d(a) = a**3 - 12*a**2 + 2*a - 18. Let y be d(12). What is the hundreds digit of i(y)?
1
Let r be -604 - 18/15*25/10. Let f = 1039 + r. What is the units digit of f?
2
Suppose -120 = -3*s - b + 109, -4*s = -b - 303. Let h = s - 49. Let n = h - -145. What is the units digit of n?
2
What is the ten thousands digit of -1*((-34)/(-85) - (-5 + (-241922)/(-5)))?
4
Let z(o) = -4*o**3 - 2*o**2 - 3*o + 18. Let s(p) = 2*p - 15. Let h be s(5). What is the units digit of z(h)?
3
Suppose -435*u + 452*u = 421634. What is the hundreds digit of u?
8
Let a(w) = 13*w**2 + 50*w - 23. Suppose 0 = 845*t - 852*t + 63. What is the tens digit of a(t)?
8
Suppose 3303*v = 3314*v - 448793 + 181086. What is the tens digit of v?
3
Suppose 0 = -5*o + 23 - 18. Suppose -h + o = -1. Suppose -h*w + 5*u - 5 = 0, -4*w = -2*w - 4*u. What is the tens digit of w?
1
Let k = -474 + 478. Suppose -6*x + x - 1425 = -5*u, -x - 1131 = -k*u. What is the hundreds digit of u?
2
Suppose -14*w + 24*w - 20*w + 90780 = 0. What is the units digit of w?
8
What is the hundreds digit of (12856/(-25)*(-1005)/(-134))/(2/(-5))?
6
Let k = 2843 - 1918. Suppose 12*m + k = 5161. What is the units digit of m?
3
Let f(c) be the third derivative of 2*c**5/15 - 7*c**4/12 - 7*c**3/6 + 264*c**2. What is the hundreds digit of f(11)?
8
What is the thousands digit of 3/((-783)/(-8786844)) + 4 + (-118)/29?
3
Let h(a) = 421*a**2 + 11*a - 3. Let t be h(-2). Let p = t - -286. What is the hundreds digit of p?
9
Let n = 56 + -56. Suppose -3*z + 4*o + 896 = n, -3*o + 1 = -2*o. Suppose 3*i + i = z. What is the units digit of i?
5
Let j(z) = 5*z - 38. Let d be j(9). What is the hundreds digit of ((-196)/d)/7 - -475?
4
Let c = 37 + -25. Suppose c*o - 5110 - 410 = 0. Suppose -5*t + 5 = 0, -4*l = 2*t - 102 - o. What is the hundreds digit of l?
1
Let t = -41 + 38. Let u be 33 + 2/(2/t). What is the units digit of u*(-12)/15*-4 + -1?
5
Let q(k) = -167*k - 190. Let x be q(0). Let z(u) = -5*u**2 + 5*u + 4. Let i be z(4). Let h = i - x. What is the tens digit of h?
3
Suppose -344 = 24*q - 20*q. Let g = q + 88. Suppose -g*k + 699 = k. What is the tens digit of k?
3
Let m be (6040/(-453))/(2/(-12)*-4). Suppose 73 = j + 27. Let p = j + m. What is the units digit of p?
6
Let m = 4088 + 25305. What is the hundreds digit of m?
3
Let f be -2*1404/26*17/(-4). Suppose -3*x + f = -4188. What is the tens digit of x?
4
Let y(j) = -2*j**2 - 22 + 8*j**2 + 39*j - 41*j - 4*j**2. Let w be 4/(4/(-3)) + -3. What is the units digit of y(w)?
2
What is the thousands digit of ((-4913)/34)/((-427)/(-214) - 2)?
0
Let r(i) = 20788*i**3 - 2*i**2 - 27*i + 29. What is the thousands digit of r(1)?
0
What is the units digit of (40/(-30))/(8/(-43788))?
8
What is the units digit of -13 - (8 - 10 - 7176)?
5
Let i = 27 - 24. Let j(s) = 6*s + 36 - 40 - i*s. What is the units digit of j(3)?
5
Let m(r) be the third derivative of -r**4/12 + 37*r**3/3 + 5*r**2 + 7*r. What is the units digit of m(-2)?
8
Suppose -372*r + 163114 + 1910414 = 0. What is the hundreds digit of r?
5
Suppose -79*d + 268*d = 2985255. What is the hundreds digit of d?
7
Suppose 10*i - 15*i + 4145 = 0. Suppose -13*k = -i - 952. What is the tens digit of k?
3
Suppose -4*h = 2*u + 78, -6*h + 3*u - 114 = -h. Let c(r) = -8*r**2 + 16 - 29 + 2*r - 32*r + 7*r**2 - 17. What is the tens digit of c(h)?
5
Let v(i) = -5*i + 125. Let t be v(26). Let o(y) = -162*y - 6. What is the tens digit of o(t)?
0
Let i(t) = 60*t**2 - 3*t + 4. Suppose 5*u + 42 = 2*j, -126 = -5*j + 2*u - 0*u. Let h = 27 - j. What is the tens digit of i(h)?
6
Suppose 143 = 10*p + 43. Suppose 4*k = -2*i + p, -2*i + 2*k = i - 31. Suppose 12*g - i*g - 387 = 0. What | {
"pile_set_name": "DM Mathematics"
} |
66) + 299 + -187.
49
31 + 0 + (196 - (-166 - -357))
36
Evaluate 61 + 7 + (-97 - -83).
54
Evaluate (-4 - -7) + -169 + 150 - 4.
-20
(28 - 20) + (53 - 47 - (16 + 0)) + -4
-6
What is the value of 0 + (25 + -28 - -3 - 22) + (-5 - 0)?
-27
Calculate (56 - (23 - -23)) + -16.
-6
What is the value of -30 - ((157 - 153) + (-5 - -2 - 1))?
-30
What is (-604 - -445) + (118 - 18)?
-59
Calculate -7 - (-7 - (-27 + 18) - -41).
-50
-10 + -3 - ((-3 + -12 + -3 - -18) + -19)
6
What is 184 - (39 + -6 - (5 + -3))?
153
(-120 - -1) + -1 + (38 - 1 - (2339 - 2297))
-125
What is -22 - -2 - (392 - 387)?
-25
Evaluate 36 + (19 + -3 - (12 - -29)).
11
Calculate 75 + -137 + 15 + -14.
-61
1 - (-71 + 51) - (-20 - -3)
38
What is the value of 1 - -11 - 12 - 26?
-26
(91 - (-5 + 25 + -33)) + -20
84
Calculate (67 - (103 - 10)) + 56.
30
Calculate -30 + 24 + -1 + 79 + (-4 - 7).
61
-133 + 123 + 3 + (-2 - -96)
87
Calculate -61 - -15 - (0 + 0 + -12).
-34
What is the value of -51 + (5 - (2 + -3) - 9) - (-4 - 0)?
-50
What is (3 - (-18 + 64 + (0 - 11))) + 14 + -5?
-23
Calculate 42 + -73 + -21 - -45.
-7
Calculate (-3780 - -3734) + 1 + 68.
23
What is the value of 38 - (295 + -283 - (-3 + 17 + 2))?
42
What is -44 - (12 - (39 - (10 + -10)))?
-17
79 - (156 + -80) - 85
-82
What is 36 + -6 - -4 - (25 - (3 - -21))?
33
What is -464 + 449 + (78 - 1)?
62
(29 - (-175 + 115)) + -109
-20
What is 1345 + -1456 + 189 + 13?
91
What is (-23 - -18) + 10 + 6?
11
Evaluate 84 + -68 - (-14 + (3 - 14)).
41
(3 - (1 - -3)) + (1 - 25) + 13 + 10
-2
Calculate 140 + -77 + 12 - -6.
81
What is the value of -9 + -8 + 28 + -1 + 67 + -10 - -8?
75
Evaluate (-5 - -43) + -85 + 18.
-29
Calculate -53 + (11 - (-46 + 23)).
-19
What is 0 - -126 - -2 - (-50082 + 50110)?
100
-34 - (166 - 94) - -116
10
What is the value of (0 - -10) + (36 - 37) - (25 - -57)?
-73
Evaluate 71 - (3 - (-16 - (-2 + -10 + 10) - -4)).
58
What is the value of (-307 - -339) + (-93 - -25)?
-36
-451 + 412 + 51 + 2
14
Evaluate -2 - -3 - (-5 + (-11 - (1 - 4)) + 15).
-1
-17 - (75 - (10 + (-6 - 5) - 0))
-93
-10 + 24 + 34 + -41
7
Calculate (-1035 - -898) + 7 + 44.
-86
1040 + -1047 + (-11 - -127)
109
What is the value of -97 - (-8 - 31) - -57?
-1
Calculate (0 - 12) + 15 + 2 + 3 + -5 + -3.
0
What is the value of 6 + (-15 + 13 - -2)?
6
What is the value of -2 + (-4 - -7) + (28 - -2) + -92 + -14?
-75
Calculate (184 - 187) + -34 + 0.
-37
Evaluate -14 + (0 - -1) + 3 + (-45 + -44 - 0).
-99
What is the value of 35 - (-22 + (6 - (-19 + -132)))?
-100
Evaluate 11 - -3 - (0 - 0 - (-183 - -157)).
-12
(3 - -12 - (84 + -75)) + (-30 - 2)
-26
What is -73 + (-2 + 0 + 12 - (6 - (-7 + 12)))?
-64
Evaluate -152 + -2 - (-1095 + 977).
-36
32 + 19 + (-28 - (-38 - 34))
95
What is 5 + (-1 - 10) + -19 + (-32 - -8) + 9?
-40
Calculate 6 + -2 + 6 + -11 - -2 - -38 - 5.
34
What is 31 - -10 - (17 + -40 + 42)?
22
(73 - 61) + -25 + 3 + (24 - -35)
49
Evaluate (-70 - 8) + 76 + (-10 - (-1 + 2)).
-13
What is the value of (-1 - -15) + (1236 - 1225 - (13 - 0))?
12
Calculate 144 + -33 - (207 - 145).
49
Evaluate -4 + -1 - -1 - (-50 + (28 - -37)).
-19
(34 - (15 + 15) - 28) + 5
-19
What is the value of 21 + 4 + -2 + -16 + (15 - -15) + -13?
24
Calculate 0 - (2 - (-5 - -11) - (-9 + 21 - 10)).
6
Evaluate 137 - (92 + 11) - (-1 - -21).
14
Evaluate (-112 - (72 - 143)) + (1 - 6) + 1.
-45
Calculate -3 + 10 - (103 - (2 - -64)).
-30
5 + (-16 - 2) + -4 + -26
-43
What is -2 + (8 + -5 - ((-3 + 68 - 4) + -6))?
-54
What is 3933 - 4008 - (2 - 0 - 0)?
-77
What is the value of 48 + (13 - (6 - -1) - 3)?
51
Evaluate -9 + (1 - (6 - 57)) + 13 + 4.
60
Evaluate -2 - (-9 + -1 - (-1 + -15)) - (-1 - 92).
85
(17 - 17) + (9 + -8 - 13) + 22
10
-68 + (-115 - -53) + 87
-43
What is the value of -79 + 80 + (0 + -3 - -3) + 62?
63
What is -239 + (126 - 36) - -44?
-105
Evaluate 55 - (29 + 0 + 46).
-20
-112 + 125 - ((2 - -3) + 21)
-13
18 + -22 + 29 + 112 + -52
85
Evaluate 19 + (-5 - (16 - (-7 - -14))) - -35.
40
(4667 - 4662) + (-5 - 2)
-2
Evaluate 90 - (20 + -17 - -14) - (14 + -1).
60
What is -13 + (86 - (61 - 33)) + -35?
10
56 + 6 + -24 + 17 + 6 + -16
45
-22 + 72 + -36 - -4
18
178 - 102 - 17 - (-1 + 1 + -1)
60
Evaluate -31 + (86 + -32 - -22).
45
Evaluate (0 + (-20 - -3) - -4) + -1 - -46 - 6.
26
What is (35 + -50 - (8 - (-8 + 17))) + 1 + -2?
-15
What is the value of (-2 + 1 - (30 + -32) - 3) + 79?
77
-66 + (-5062 - -5076 - (16 + (2 - 4 - -1)))
-67
Calculate (28 - -15) + (-73 - 90).
-120
Evaluate (-66 - -1) + (42 - (76 - 18)) + (3 - -9).
-69
What is the value of 22 - (61 + (-3 - 31))?
-5
Calculate (31 - 20) + 8 + -41 + (9 - 2 - 1).
-16
What is 5 - (7 + -18 - -28)?
-12
What is (11 - -3) + -1 + -14 + 3 - 16?
-14
What is -3410 + 3446 - (63 + -1)?
-26
Calculate (25 - -4) + -15 + (-55 - -53).
12
What is the value of -2601 + 2637 + -43 + 0 + -58 + (-1 - -3)?
-63
Evaluate (-1778 - -1779) + 4 + -2 + 20.
23
Calculate -19 + 27 + -8 + 0 + -30.
-30
What is the value of (85 - (-81 - -56)) + -75?
35
Calculate -12 + 8 - ((5 - 85) + (-4 - -8)).
72
-116 - ((23 - (-21 - -6 - -20)) + -14)
-120
What is 9 - (1 - (-12 + -17 + 2)) - 16?
-35
Evaluate -11 + 1 - (46 + -35 + (5 + -1 - -56)).
-81
Evaluate -3 + 9 + -3 - (1 + 11 - -31).
-40
What is the value of (-10 - -20) + (22 - 35) - (-1 + 47)?
-49
Evaluate -560 - -566 - (13 + 0 + -4).
-3
What is 9 + ((-1 - -21) + -12 - 16) + -8 - -17?
10
Evaluate -2783 + 2812 + (2 - 4).
27
-73 + (-15 - ((37 - 45) + 7))
-87
What is 5 - (-10 + (-1 + -8 + 10 + -5 - -5))?
14
Evaluate (-14 - -6 - -15) + -13 + -4 - -4 - 51.
-57
Calculate -37 + (1 - 1) - (-11 + (-6 - -4) + 14).
-38
What is 23 - (-1 + (-12 - (48 + 1)))?
85
(-37 - -21) + -57 + 12
-61
What is the value of 0 + 15 - (31 - 30 - -9) - 21?
-16
Evaluate 9 + (5 - 1) + (-8 - 0) + 7.
12
What is 0 - (-3 - 4 - -1) - (-74 + 49 + -55)?
86
Evaluate 57 + 0 + 3 - (10 - (6 + -11 - -9)).
54
What is the value of (39 + -44 - (42 + -6 + 2) - 3) + 12?
-34
Evaluate (-31 + 55 - -21) + -35.
10
What is the value of (32 - 56) + -3 - -42?
15
What is the value of -59 - (-4 + (-10 - -16) - 24)?
-37
What is the value of -8 + -5 + -9 + 11 + (0 - 1 - 8)?
-20
What is the value of 53 - -11 - 48 - 63?
-47
What is the value of 0 + 2 + -523 + 568 + 6 + -7 + 1?
47
Evaluate (1 - -11) + 107 + -45 + 13 + 1.
88
Calculate 3 + (1 - 0) - (3 + 2 + (35 - 30)).
-6
-57 + 76 + 13 + (0 - -2) + -3 + 5
36
Evaluate (-12 - 1) + 1 + 1 + (296 - (67 - -171)).
47
What is the value of (75 - 0) + -183 + 60?
-48
What is -2 - -43 - (169 - (-185 - -364))?
51
Calculate 18 + (-2 - -8 - (33 - (13 - -18))).
22
Evaluate (-15 + 9 + -22 - 27) + -22.
-77
Evaluate (13 - (14 - (10 - -1))) + (3 - -78) + -8.
83
Calculate 114 - (-21 - (3 + -9 + 4)) - 3.
130
Calculate 0 + (-30 - -7) + -7 + 1 + (-5 - -7).
-27
-9 - (1 - -37 - (124 + -109))
-32
-4 - (44 + -1 + (2 - 51 - -25) + 16)
-39
Evaluate 37 - (((-8 - (11 - 9)) + -1 - -29) + -10).
29
What is the value of (52 - 18) + -26 - (9 + -6 + 15 + -1)?
-9
Calculate (7 - -28) + (14 + 0 - 32) + 14.
31
What is the value of (-1 - 10) + -25 + 27 + -13?
-22
(14 - -20 - 59) + (81 - -2)
58
Calculate (76 - 2) + (110 - 245).
-61
Evaluate -80 + (17 + (13 - -11) - 15).
-54
What is the value of -18 - (-60 + (-10 - -6) + 23)?
23
-106 - -76 - (24 + 2 + -6)
-50
(-45 + 22 + 24 - (-12 + 9)) + 70
74
-88 - ((-4 - -8 - (7 - 0)) + -471 + 481)
-95
What is (17 - 2) + 1 + 2 + 12322 + -12332?
8
What is (20 - (-1 + -16 + 29)) + -3 + -52?
-47
Evaluate (-9 - -1) + (-1 - -22 - (-144 - -271)) + -10.
-124
Evaluate -23 + (-17 - -48) - (0 + 1 + -2).
9
-30 + (86 - 61) + (0 - (0 + -2)) + 19
16
What is the value of -75 - -109 - -122 - 95?
61
Evaluate 2 - ((24 - 10) + -58).
46
What is the value of (-7 - (28 + -3)) + 17?
-15
(-1 - -2 - -36) + (5 - (5 + 4))
33
-114 + 8 + -19 - -171
46
What is (-21 + 22 - 3) + -19 + 19?
-2
Evaluate (-14 - -1) + 3 - (-25 + 16 - 13).
12
What is the value of (-161 - -50) + -15 + (8 + 8 - 23)?
-133
Evaluate (0 + 15 - 7) + (28 - -1) + (4 - 0).
41
What is the value of (84 - 57) + (4 + -2 - (-13 - -13))?
29
What is -99 - (35 - -34 - 82)?
-86
Evaluate -43 - (-77 - -52) - -13.
-5
Evaluate -5 - (-14 + 41 + 6 - 17).
-21
81 - (36 + -11 + -12 + -6)
74
What is -156 - -135 - (0 + -48 - -3)?
24
602 + -601 - ((-2 - 16) + -4) - -75
98
What is the value of -41 + (-1 - -10 - (2 - (-14 + 5 - -9)))?
-34
What is -24 - (-7 + 11 + -17 + 27)?
-38
What i | {
"pile_set_name": "DM Mathematics"
} |
- -8195.999991931. What is l rounded to seven decimal places?
-0.0000081
Let k = -27 + -12. Let c = 6 + k. Round c to the nearest ten.
-30
Let w = -0.19 - -0.3154. Round w to two decimal places.
0.13
Let h = 1334.18 - 1345. Let i = -0.18 + h. Let d = i - -10.9999998. What is d rounded to 6 decimal places?
0
Let v be 117/(-6)*((-49)/3 + 1). Let l = v - -86. Round l to the nearest 10.
390
Let d = 17 - 16.92. Let s = 0.07999935 - d. Round s to seven dps.
-0.0000007
Let o = 0.16 - 0.02. Let b = 0 + o. Let w = -0.140017 + b. What is w rounded to six dps?
-0.000017
Let f = -392 - -594. What is f rounded to the nearest 100?
200
Let n(w) = w**2 + 3*w - 8. Let r be n(4). Suppose 2*l = -3*l + r. Suppose -3*v = -l*z + 3*z - 182, -4*z - 128 = -2*v. Round v to the nearest 10.
60
Let a = -0.068485 + -448826.931515. Let x = -448826.7900068 - a. Let n = x + -0.21. What is n rounded to 6 dps?
-0.000007
Suppose 4*p = -y - y + 10, -5*y = 4*p - 7. Let k(x) = -3001*x**3 + 3*x**2 - 2*x + 6. Let g be k(p). Round g to the nearest ten thousand.
-80000
Let s = -21.746 - 0.254. Let f = -250550.17 - -250572.169971. Let g = s + f. What is g rounded to five decimal places?
-0.00003
Let n(o) = o**3 - 14*o**2 + 3*o - 5. Let f be n(6). Let k = 9527 + 3198. Let y = f - k. Round y to the nearest 10000.
-10000
Let m = -1629.276 + 1635. What is m rounded to the nearest integer?
6
Suppose 2*q - q - 3 = 0. Let n be (-6)/3 - -8 - q. Suppose n*c - c - 4600000 = 0. Round c to the nearest 1000000.
2000000
Let o = 634215 - 443815. What is o rounded to the nearest ten thousand?
190000
Let u be (1*-67)/(3/(-35157)). Suppose u = -2*j - 2614823. Let b be j/5 - 18/45. What is b rounded to the nearest 100000?
-300000
Let m = -5043244 - -5043273.900469. Let q = -29.9 + m. What is q rounded to five decimal places?
0.00047
Suppose i = -i + 6. Let g(q) = q**3 - q**2 - 6*q. Let h be g(i). What is h rounded to 7 decimal places?
0
Let w = 29112.13101 + -29584.129. Let n = 472 + w. What is n rounded to four decimal places?
0.002
Let h be (0 - 256)*11750000/94. Round h to the nearest 1000000.
-32000000
Let j(n) = -57*n**3 - n**2 - n + 2. Let s(y) = y + 9. Let w be s(-7). Let g be j(w). Round g to the nearest 100.
-500
Let j(m) = -104143*m**2 - m. Let d be j(1). Let t = d + -85856. What is t rounded to the nearest 100000?
-200000
Let m = -0.04632 + 56.95832. Let p = -57 + m. Round p to two dps.
-0.09
Let k = -2751 + 2647.56. What is k rounded to the nearest 10?
-100
Let q = 6 + -6.9. Let p = q + 0.1. Let m = 1.25 + p. Round m to one dp.
0.5
Let p be (-13 + 921)/(1/(-475)). What is p rounded to the nearest 10000?
-430000
Let z = 57 - 33. Let i = -34395957 - -34395932.9999945. Let g = z + i. Round g to six dps.
-0.000006
Let m(c) = 2*c - 13. Let r = -17 + 22. Let p be m(r). Round p to the nearest 10.
0
Let r = -39916 + 79607. Let t = r - 39695.0002. Let x = t - -4. Round x to four dps.
-0.0002
Let b = -185267076 - -185317258.0212. Let i = 50212 - b. Let x = -30 + i. Round x to three dps.
-0.021
Let r = -398926 - -188170. Let a = 62244 - r. What is a rounded to the nearest ten thousand?
270000
Let g = -0.15511 + -0.13215. Let v = 0.282 + g. What is v rounded to three dps?
-0.005
Let n = 759 + -383. Suppose -u - n = 384. Round u to the nearest 100.
-800
Let d = 66.31 - 67. Let l = 0.83008 + -0.1407. Let i = l + d. Round i to 4 dps.
-0.0006
Suppose 3*c = -m + 3*m + 556, -c = -5*m - 168. What is c rounded to the nearest one hundred?
200
Let n(p) = 40480005*p**2 + 4*p - 1. Let k be n(-1). Round k to the nearest 1000000.
40000000
Let t = 6.155 + -0.275. What is t rounded to 0 dps?
6
Let y = -1721.99997932 + 1722. What is y rounded to six dps?
0.000021
Let r = -572 + 572.481. Round r to 1 decimal place.
0.5
Let q = 24 - 24.4. Let n = -0.39999988 - q. What is n rounded to seven decimal places?
0.0000001
Let y = 1972.9997721 - 1973. What is y rounded to 5 decimal places?
-0.00023
Suppose 64056 = -z - 185944. Round z to the nearest one million.
0
Let v = -1300785 - -5160785. Round v to the nearest 1000000.
4000000
Let o be 10000/(0 - 2 - 32695/(-16350)). Round o to the nearest one million.
-33000000
Let h = 63 + -36. Let v = 10 - h. Let n = v + 16.999964. Round n to 5 decimal places.
-0.00004
Suppose o = -o - 56. Let i be 6*187 + (-7)/(o/(-8)). What is i rounded to the nearest 100?
1100
Suppose 0 = 7*q - 1200437 + 4788980. Let i = q - 1887351. What is i rounded to the nearest one hundred thousand?
-2400000
Let g = -10.49 + 12.528. Let q = g - 2. Let u = q - 0.0485. Round u to 3 decimal places.
-0.011
Let d = 0.43 - 0.4. Let x = -5.97 - d. Let c = x - -5.5. Round c to zero dps.
-1
Let p = 242440 + -93961. Let n = 1468479 - p. Suppose -2*t = t - n. Round t to the nearest 100000.
400000
Let x = 3928464 - 5623522. Let p = x + 1206058. Round p to the nearest one hundred thousand.
-500000
Let a(y) = -y**2 - 7*y - 2. Let h be a(-7). Let b be 13*(h - 1/(-1)). Round b to the nearest integer.
-13
Let x = 25.28 - -0.2. Let h = -25 + x. Let c = h + -0.47999981. What is c rounded to 7 decimal places?
0.0000002
Let a = 495.99439 - 496. Round a to 4 decimal places.
-0.0056
Let x = -563 + 512.4. What is x rounded to the nearest ten?
-50
Let s = 4761056207547926.9999726 - 4761056888887338. Let w = 681339490 + s. Let p = w - 79. What is p rounded to 6 decimal places?
-0.000027
Let t = 0.51 + -0.44. Let u = 19.49945 + -19.57. Let c = u + t. What is c rounded to four decimal places?
-0.0006
Suppose -6809 = -2*d + z, 3*z - 6797 = -2*d - 0*z. Let j be 2/((-3)/(-4) - 1/12). Let h be j - (3 - 3) - d. Round h to the nearest 1000.
-3000
Let d = -0.1562 + 0.067. Round d to three dps.
-0.089
Suppose 5*i = -2*p - 4299990, -2*i + 4*p - 380749 = 1339271. What is i rounded to the nearest 1000000?
-1000000
Let p = -5637 + 5637.00004163. What is p rounded to 6 dps?
0.000042
Let n = -3 - -11. Suppose q + q - n = 0. Suppose 4*o - 5*j = -19, -o + 2*j - j = q. Round o to 1 dp.
-1
Let c = 226 + -375. Let a = 151.1508 + -3.4608. Let w = a + c. What is w rounded to 1 decimal place?
-1.3
Let b = 7556847 - 7556777.999815. Let w = -69 + b. Round w to 5 dps.
0.00019
Let c = -3.26 - -0.56. Let s = c + -1. What is s rounded to 0 dps?
-4
Let b = -1384.04 - -1349. Let z = b + 0.04. Let u = -17.3 - z. What is u rounded to zero dps?
18
Let s = 37420.659933 - 37495.659933115. Let f = -75 - s. What is f rounded to seven dps?
0.0000001
Let r = 123.9999674 + -124. What is r rounded to five decimal places?
-0.00003
Let u(v) = -v**2 + v - 66. Let w be u(0). Let h = -576 + 428. Let f = w - h. What is f rounded to the nearest ten?
80
Let k = -20250.4 + 20250.3822537. Let w = -2.6178503 - k. Let b = w + 2.6. What is b rounded to five dps?
-0.0001
Let g = -0.23 - -0.268. Let i = g + -0.03794. What is i rounded to five dps?
0.00006
Let c be (-394)/((12/9)/(-2)). Let g = c + -3391. What is g rounded to the nearest 1000?
-3000
Let h = 4 - 6. Let b = h - -2.11. Let i = -0.03 + b. Round i to 1 dp.
0.1
Let a = 13 + 14. Let z = a - 27.0000008. Round z to seven dps.
-0.0000008
Let o = 2049.4503 - 2049. What is o rounded to 2 dps?
0.45
Let r(d) = d + 1. Let m(x) = -6*x + 11 - 7*x - 8*x + 0*x. Let t(w) = -m(w) + 6*r(w). Let s be t(5). What is s rounded to the nearest one hundred?
100
Let t = 2413702 - 943702. What is t rounded to the nearest 100000?
1500000
Suppose 3*m - 14 = y, 2*m + y = -4*y - 19. Suppose 3*g - a - m*a - 389 = 0, 4*g - 5*a - 520 = 0. What is g rounded to the nearest ten?
140
Let y = 1679367 + -1065367. Suppose -y = -20*x + 22*x. Round x to the nearest ten thousand.
-310000
Let x = -23 + 27. Let n be 23199996/10 - x/(-10). What is n rounded to the nearest 100000?
2300000
Let h = -1.4 - 6.6. Let w = 229361.900035 + -229353.9. Let j = w + h. Round j to five decimal places.
0.00004
Let n(z) = -127*z - 5. Let p be n(-5). Suppose p = 2*g - g. Round g to the nearest 100.
600
Let m = 4168.9998187 - 4169. What is m rounded to 5 decimal places?
-0.00018
Let t = 321.061 - 321. What is t rounded to two decimal places?
0.06
Let s = 34.907 - 0.107. Let n = 80 - 52. Let m = s - n. What is m rounded to 0 decimal places?
7
Suppose 4*r - 8540008 = 2*z, r = -3*z + 7*z + 17080002. Round z to the nearest one hundred thousand.
-4300000
Suppose -6 = 4*b - 34. Suppose -a = b*a - 697 | {
"pile_set_name": "DM Mathematics"
} |
- 13. Suppose c*q = -5*d + 1406, 8 = -4*q + 20. Is 35 a factor of d?
True
Let t(v) = 8*v - 1. Suppose -7*h + 2*h = -5. Let r be t(h). Suppose r*q - 2*q = 415. Is q a multiple of 17?
False
Let g be (-6)/(-2) - 0 - (-11 - -10). Does 4 divide ((-48)/(-28))/(g/28)?
True
Let b(q) = -q + 3. Let a be b(-4). Let x = a - -11. Suppose 0*w - x = -3*w. Does 2 divide w?
True
Let t(s) = -s**3 + 6*s**2 - s + 9. Let p be t(6). Suppose 3*f + 64 = 4*f - m, -p*f + 182 = -5*m. Does 23 divide f?
True
Let z(b) = -b**3 + 9*b**2 - 8*b + 3. Let p be z(8). Let r be p + 3/((-3)/2). Let f(k) = 7*k**3 + 2*k**2 - 2*k + 1. Is f(r) a multiple of 8?
True
Let n be 6/7*(1 - (-11)/3). Suppose 2*k - n - 16 = 0. Is k a multiple of 5?
True
Suppose -c - 3*w + 9 = 3*c, c = -3*w. Suppose -c*a = -66 + 18. Does 29 divide a/(-48) + (-349)/(-3)?
True
Is (234/5)/((-36)/(-120)) a multiple of 12?
True
Suppose 0 = 5*a - 3*g - 4613, -a = -3*a + 4*g + 1834. Does 25 divide a?
True
Let f be (-3 - -2 - -2)*5. Suppose 2*b - 5*b = -3*y - 237, -f*y - 2*b = 430. Let j = y - -129. Does 10 divide j?
False
Let u(c) = -2*c**3 + c**2 + 2*c + 2. Let i be u(-2). Let w = -6 + i. Let r = w - 9. Is r a multiple of 2?
False
Let b(r) = r**3 - r**2 + 4*r - 4. Let x be b(3). Let v be (-2)/((-79)/x + 3). Suppose 3*z = 2*p + v, -p = z + 4*z - 65. Does 4 divide z?
False
Let j(l) = 43*l + 1. Suppose t - 15 = -2*t + m, 11 = 5*t + 3*m. Suppose -12 = -2*f + t*o + o, 0 = -2*f - 2*o - 2. Is j(f) a multiple of 22?
True
Let w = -37 + 19. Let f = w + 42. Is 8 a factor of f?
True
Suppose -2*r + 2 = 0, -11*l + 6905 = -7*l + 5*r. Is l a multiple of 69?
True
Suppose -h + 318 = -162. Is 8 a factor of h?
True
Let s = -87 - -90. Suppose 4*j + 79 = 2*m - 77, 0 = 3*m - s*j - 231. Is 16 a factor of m?
False
Let n = -2 + 7. Suppose 0 = 2*r - n - 3. Suppose r*a = -0*a + 304. Does 19 divide a?
True
Let v(q) = -q**2 + 2*q + 332. Let k be v(0). Suppose -4*z - k = -8*z. Does 11 divide z?
False
Suppose -20*i = -1 + 1. Suppose i = 5*m - 193 - 107. Is m a multiple of 15?
True
Let r(b) = -b**3 - 5*b**2 - 6*b - 4. Let q be r(-4). Suppose -4*a + 196 = -q*l, -a + 40 + 19 = -3*l. Does 9 divide a?
False
Suppose -3*m + 384 = 276. Does 6 divide m?
True
Suppose 13*v - 1541 = -54*v. Is v a multiple of 18?
False
Suppose 35 = 3*p + 2*p. Suppose -p*v + 5 = u - 3*v, 4*v = 3*u - 47. Suppose 0 = -3*n - 7 + u. Is 2 a factor of n?
True
Let d(s) = s + 9. Let l be d(-5). Let b be 153/(-4) - (-1)/l. Does 8 divide 14402/361 - 4/b?
True
Let f(n) = n**3 + 5*n**2 + n - 7. Let c be (-16)/10*(-10)/(-4). Is f(c) a multiple of 2?
False
Suppose -2*w + 159 = 2*w - 5*v, -4*w + 156 = -4*v. Let l = w - -10. Is l a multiple of 23?
True
Suppose 5*z - 4*r + 0*r = 281, 16 = -4*r. Suppose -49*c + z*c = 80. Is 3 a factor of c?
False
Suppose -s = 3*z - 1604, 0 = -7*s + 5*s + 3*z + 3181. Is s a multiple of 55?
True
Let y(i) = 6*i**3 - i**2 + 5*i + 3. Let g(x) = -7*x**3 + 13*x + x**2 - 3 - 23*x + 4*x. Let h(v) = -4*g(v) - 5*y(v). Is h(-3) a multiple of 17?
False
Suppose -3*u + 4*t + 8327 = 0, 0 = -4*u + t + 9851 + 1243. Is 47 a factor of u?
True
Let k = 18 + -63. Let o = 37 + k. Is o/(-24) + 250/6 a multiple of 7?
True
Suppose -12*d + 61 = 4*h - 9*d, -3*h + 77 = -4*d. Is h a multiple of 2?
False
Suppose -1616 + 176 = -2*q. Does 8 divide q?
True
Let v = -2 - -307. Does 22 divide v?
False
Suppose 572 = 20*p - 6908. Is 11 a factor of p?
True
Let l(m) = 127*m**2 + 100*m - 307. Does 27 divide l(3)?
False
Let b = 697 + -410. Is 4 a factor of b?
False
Let h = 96 + -96. Suppose h = -v - 3*c + 6*c + 205, 2*v - 417 = -c. Is v a multiple of 13?
True
Suppose 4*m + 2*g + 14 = 0, -7 = m + 3*g - 6*g. Let j = 15 + m. Is 20/2*(j - 9) a multiple of 10?
True
Suppose 5*v - 378 = -g, 4*v = 9*v + 5*g - 390. Let j be 1*v*2/3. Is 13 a factor of (j/(-35))/((-3)/105)?
False
Is (-24)/(-30) - 24577/(-35) a multiple of 37?
True
Suppose 5*d + 0*d + 3*p - 1 = 0, -5 = -5*d - 5*p. Let l = 3 - d. Suppose 2*t - l*v - 24 = t, -4*t = -5*v - 74. Is 3 a factor of t?
False
Suppose -d - 8 = u - 5*u, 0 = d + u - 2. Suppose d = 5*s - 5*i - 165, 5*s - 2*i + i - 165 = 0. Does 11 divide s?
True
Let q = -10 + 22. Suppose 5 + 1 = 3*t. Does 6 divide q/t*(2 - 0)?
True
Suppose -4*y + 91 = -81. Let j = -15 + y. Does 14 divide j?
True
Let y = -16 - 14. Suppose 47 = f - j, 0 = 5*f - 7*f + 5*j + 82. Let n = y + f. Is n a multiple of 5?
False
Suppose 3713 = 3*w + 5*t, 0 = -12*w + 9*w + 5*t + 3763. Does 89 divide w?
True
Let y be 198/90 - (-1)/(-5). Suppose -19 = -2*b - 5*s, 2*s + 2*s - 16 = -y*b. Suppose m + 4*g - 16 = -b*m, 2*m + 5*g - 13 = 0. Is m even?
True
Suppose -3*c + 285 = -567. Suppose -w = -2*u - 70, 4*w - 4*u = -0*w + c. Is w a multiple of 36?
True
Let y(o) = -o**3 - o**2 + o + 1. Let r(q) = 2*q**3 + 3*q**2 - 3*q - 40. Let n(g) = -r(g) - 3*y(g). Let s = 4 - 4. Is n(s) a multiple of 13?
False
Let t(w) = w + 15. Let r be t(-8). Let j be ((-6)/(-8))/(r/(-364)). Let g = 92 + j. Is 26 a factor of g?
False
Let g(z) = 5*z**2 - 5*z - 1. Let f be g(-4). Suppose f + 85 = b. Suppose -4*i + 42 + 28 = 2*n, 4*n - 3*i - b = 0. Is 14 a factor of n?
False
Let c(q) = q**2 + 20*q + 36. Let d be c(-18). Suppose -2*w - 10 = d, -s - 2*w - 394 = -5*s. Is 12 a factor of s?
True
Let g(u) = -u**3 + 16*u**2 - 8*u + 32. Is 10 a factor of g(10)?
False
Let g = -139 + 292. Does 3 divide (-1)/7*2 - g/(-21)?
False
Suppose -3*m + x + 2*x = -132, 3*x = -m + 36. Suppose -2*p = 2*z + 52, -z + 41 = -p + 3*z. Let y = p + m. Does 3 divide y?
False
Let f = 1293 - 1127. Is 4 a factor of f?
False
Suppose 9*h = 1697 + 3550. Does 53 divide h?
True
Let s = 389 + 306. Is s a multiple of 15?
False
Is 43 a factor of 46/207*1629/2?
False
Let h = 36 + -18. Let n = h + -18. Suppose -5*y + 169 - 10 = -l, n = -3*y + 3*l + 105. Does 8 divide y?
False
Let d = 581 - 35. Is d a multiple of 14?
True
Let a(i) = -7*i**2 + 4*i + 5. Let g(q) = 6*q**2 - 3*q - 4. Let y(r) = -5*a(r) - 6*g(r). Let k be y(-9). Does 4 divide k/40*5*-1?
True
Let v = 26 + -11. Let l be (-3)/v - (-32)/10. Is ((-24)/(-7))/(l/21) a multiple of 8?
True
Suppose 0 = 3*s - c - 10, s = 5*s - 2*c - 16. Suppose 3*d + 345 = s*k, 3*k = 2*d + 217 + 288. Is 7 a factor of k?
False
Let v = 20 - -2. Let l = v - 12. Does 22 divide (44/l)/(8/40)?
True
Let j(b) be the first derivative of 2 - 7*b**2 - 1/3*b**3 - 6*b. Is j(-6) a multiple of 14?
True
Suppose -2*a = -0*z + 3*z - 12, -8 = -a - 2*z. Suppose -h - 3 = -a*h. Let p = 16 + h. Is p a multiple of 10?
False
Is -12 + 9 + 0 - (-1 + -1553) a multiple of 19?
False
Suppose 114*v - 107*v - 2709 = 0. Is v a multiple of 5?
False
Suppose 16*a = 19*a - 198. Suppose -71*m + 350 = -a*m. Is 14 a factor of m?
True
Let r = 158 + -23. Suppose -10*q + 5*q = -r. Does 9 divide q?
True
Let r be 0 + 9 - (-8 - -5). Let d(a) = -5*a + 2*a - a + 3*a + r. Is d(-4) a multiple of 8?
True
Suppose 1495 = -61*h + 66*h. Is 13 a factor of h?
True
Suppose 4*h - 5033 + 2369 = 0. Is h a multiple of 19?
False
Suppose -5*l + 2 = -3*l, -3*u + 2*l = -922. Is u a multiple of 14?
True
Suppose 6*v - 3*v - 162 = 0. Suppose 0 = s - 1 - v. Is 9 a factor of s?
False
Is 13 a factor of 207 - (-6 + 4)*2?
False
Let o(q) = q**3 + 2*q**2 - 5*q - 6. Let b be o(-3). Suppose -2*n + b*n = -56. Is n a multiple of 6?
False
Let a(s) = s**3 - 12*s**2 + 20*s + 12. Let q be a(10). Let j(k) = k**3 - 12*k**2 + 7*k - 1. Does 16 divide j(q)?
False
Suppose 1296 = 12*n - 6*n. Suppose -176 = -4*g - 5*c, -4*g - c + n = -6*c. Is g a multiple of 7?
True
Let m(i) be the second derivative of i**4/12 - 13*i**3/6 - 5*i**2 - 12*i. Is 5 a factor of m(15)?
True
Let t(l) = -l**2 + l + 1. Let y(k) = -67*k**2 - 2*k - 5. Let n(p) = -4*t(p) - y(p). Is 35 a factor of n(1)?
True
Let c(y) = 4*y**2 - 8*y. Let i be (-20)/1*14/(-35). Does 15 divide c(i)?
False
Let i(g) = -181*g - 270. Is 8 a factor of i(-6)?
True
Is 49 a factor of 48/(-6)*1 - -839?
False
Let m(b) = 18*b - 6. Let j(i) = -i**2 + 4. Let w be j(-3). Let a(r) = -6*r + 2. Let f(q) = w*m(q) - 16*a(q). Is 7 a factor of f(5)?
True
Let d(q) = 11*q**2 + 17*q + 18. Let c(h) = -h**3 + 22*h**2 + 35*h + 37. Let y(v) = 2*c(v) - 5*d(v). Is y(-6) a multiple of 10?
True
Let c(v) = 14*v**2 + 10*v - 16. Does 40 divide c(8)?
True
Let l(o) = -o**3 + 8*o**2 + 11*o - 1. Suppose -44 = 5*a - 7*a. Suppose -v + 5*z + 8 = 4*z, -4*z | {
"pile_set_name": "DM Mathematics"
} |
16, what is -63d + -5?
-642
In base 3, what is -210 + 2101110?
2100200
In base 4, what is 21012 + -11?
21001
In base 12, what is -1219 - 10?
-1229
In base 9, what is 13 - -15?
28
In base 3, what is -101000112 + 0?
-101000112
In base 5, what is -1 - -1002?
1001
In base 15, what is 9 - 3ba?
-3b1
In base 4, what is 312 - 2211?
-1233
In base 3, what is 2 - 10220?
-10211
In base 7, what is 255 - 5?
250
In base 8, what is 3 - -674?
677
In base 8, what is 5 + 4?
11
In base 11, what is 4 - -690?
694
In base 2, what is 0 + 100110001100?
100110001100
In base 15, what is -2 - 14?
-16
In base 6, what is -2 - 42?
-44
In base 4, what is -32110 + 1?
-32103
In base 16, what is -1197 + 0?
-1197
In base 4, what is 223 + -10?
213
In base 9, what is 4 - -3814?
3818
In base 13, what is -a - 2?
-c
In base 9, what is 2 + -11184?
-11182
In base 7, what is 13121 + 1?
13122
In base 5, what is -111 - 40?
-201
In base 13, what is 321 + -4?
31a
In base 16, what is 4 + 50?
54
In base 5, what is 20424 - 0?
20424
In base 5, what is 30 + 4?
34
In base 10, what is 2 + 177?
179
In base 11, what is -1 - -493?
492
In base 4, what is 3 + 202?
211
In base 13, what is 4 + 32?
36
In base 9, what is -250 + 7?
-242
In base 8, what is -246 + 2?
-244
In base 9, what is 2 - 61?
-58
In base 2, what is -1001 - 10011?
-11100
In base 16, what is -133 - -8?
-12b
In base 8, what is -1 + -1423?
-1424
In base 3, what is 10 - -1000?
1010
In base 9, what is 27 + 554?
582
In base 15, what is cd + 14?
e2
In base 4, what is 10 - 330322?
-330312
In base 2, what is -111100 - -10010?
-101010
In base 5, what is -141 + 11?
-130
In base 10, what is -1 - 285?
-286
In base 14, what is 265c + -5?
2657
In base 11, what is -548 + -1?
-549
In base 7, what is 4 + 2355?
2362
In base 6, what is 33202 + -3?
33155
In base 5, what is 1 + 1044?
1100
In base 13, what is 2 - -414?
416
In base 5, what is -221 + -1411?
-2132
In base 10, what is -366 - 2?
-368
In base 3, what is -1000220 - 120?
-1001110
In base 13, what is 25 + 8?
30
In base 3, what is -120200 - -11?
-120112
In base 3, what is 2 - -100112?
100121
In base 7, what is 40 + 2062?
2132
In base 13, what is -33b - 4?
-342
In base 2, what is 0 + 11101001?
11101001
In base 16, what is 5 + fa6?
fab
In base 6, what is 222 - -335?
1001
In base 8, what is -3114 + -1?
-3115
In base 13, what is 113 + -29?
b7
In base 12, what is 3 + 1a9?
1b0
In base 3, what is -20 - 121?
-211
In base 2, what is 101 + 1101101?
1110010
In base 6, what is -3 + 1315?
1312
In base 7, what is 5 + 31?
36
In base 16, what is -38b + 5?
-386
In base 12, what is -2 - -89?
87
In base 9, what is 3 - 185?
-182
In base 7, what is 265 + -2?
263
In base 6, what is -1153 + -21?
-1214
In base 4, what is 1 - -3?
10
In base 13, what is 4 - 14b?
-147
In base 3, what is -1102210 - 11?
-1102221
In base 6, what is 134 - 0?
134
In base 16, what is 64 - -28?
8c
In base 10, what is 4 - -46?
50
In base 8, what is -4 - -4363?
4357
In base 8, what is -2 + 16?
14
In base 12, what is -8 + 10?
4
In base 13, what is -3 + -2b?
-31
In base 10, what is -1 + 2190?
2189
In base 9, what is 3666 - -5?
3672
In base 16, what is 30 + -5?
2b
In base 13, what is -b9 + 40?
-79
In base 5, what is -114 - -20?
-44
In base 5, what is 3411 + 4?
3420
In base 2, what is 1111111 + -111?
1111000
In base 5, what is 10 - 2221?
-2211
In base 16, what is 0 - ae?
-ae
In base 5, what is 31201 + -4?
31142
In base 16, what is 5b + -2?
59
In base 3, what is 2212122 + 10?
2212202
In base 8, what is -1 - 276?
-277
In base 8, what is -214 - -4?
-210
In base 14, what is 5 + -27d?
-278
In base 5, what is 1 - -1123?
1124
In base 7, what is 15 - -1652?
2000
In base 10, what is -29 - -3?
-26
In base 12, what is 5 - -405?
40a
In base 8, what is 4 - -43?
47
In base 7, what is 40 - 224?
-154
In base 12, what is -3a + 20a?
190
In base 10, what is 225 + -4?
221
In base 6, what is 5 + -1041?
-1032
In base 11, what is -26 - -a9?
83
In base 8, what is -175 + 3?
-172
In base 6, what is -114 + 3?
-111
In base 15, what is 5 + -d?
-8
In base 8, what is -530 + -40?
-570
In base 8, what is 5 - 1163?
-1156
In base 4, what is 32 + 3022?
3120
In base 8, what is -144 + 14?
-130
In base 4, what is 3 - 202320?
-202311
In base 13, what is 1 + 18?
19
In base 11, what is -23 - 4?
-27
In base 16, what is 30 + -2?
2e
In base 5, what is -2141 - 12?
-2203
In base 4, what is -2 - -230?
222
In base 8, what is 5 - 525?
-520
In base 13, what is 6571 - 3?
656b
In base 14, what is 8d0 - 0?
8d0
In base 3, what is -21 - -121?
100
In base 7, what is -24066 + 4?
-24062
In base 15, what is -1d2 + -c?
-1de
In base 2, what is -101000001001 - 100?
-101000001101
In base 11, what is 1 - -39a?
3a0
In base 6, what is -42544 + 5?
-42535
In base 5, what is 10 - -202?
212
In base 9, what is 48 - 4?
44
In base 6, what is 55401 - 4?
55353
In base 4, what is -33023 - -10?
-33013
In base 16, what is -4 + b68?
b64
In base 13, what is -7 - -4?
-3
In base 11, what is 63 - -5?
68
In base 14, what is -6 + 907?
901
In base 5, what is -10 + 14?
4
In base 14, what is -68ab + 4?
-68a7
In base 2, what is 1001 + -100011010?
-100010001
In base 13, what is -28 - -95?
6a
In base 3, what is -212102 - 0?
-212102
In base 4, what is -12221 + 22?
-12133
In base 6, what is 43 - -5?
52
In base 5, what is 3 - 2401?
-2343
In base 2, what is 10 + 100100?
100110
In base 13, what is 44 - -3?
47
In base 15, what is -e8 - 1?
-e9
In base 14, what is 114 + 0?
114
In base 6, what is 11051 + 1?
11052
In base 15, what is 3 - 1e5?
-1e2
In base 9, what is -3144 + 5?
-3138
In base 10, what is -52 - 3?
-55
In base 8, what is 32 - 25?
5
In base 15, what is -17b + -4?
-180
In base 14, what is d - -1a?
29
In base 12, what is -6 + -30?
-36
In base 7, what is -3 + -146?
-152
In base 14, what is 5 + 1cb?
1d2
In base 12, what is -296 - -4?
-292
In base 2, what is 1011011 + -1001?
1010010
In base 11, what is 5 + 9?
13
In base 3, what is 1021 - -200?
1221
In base 10, what is -926 - 13?
-939
In base 4, what is 220 + -202?
12
In base 16, what is -8 + 2b?
23
In base 3, what is 10 - 21022?
-21012
In base 15, what is 74a - 6?
744
In base 11, what is 3a - -258?
297
In base 15, what is -15 - -61?
4b
In base 12, what is 41 - -5?
46
In base 9, what is -2705 - 1?
-2706
In base 12, what is 6 - 7a?
-74
In base 14, what is -2 - -10?
c
In base 8, what is 152 + 4?
156
In base 10, what is -245 - 2?
-247
In base 10, what is -13757 - 1?
-13758
In base 16, what is 5 + -180?
-17b
In base 2, what is 10100010 + -101?
10011101
In base 14, what is -46 - 301?
-347
In base 5, what is 1 + 3?
4
In base 4, what is 11 + -1202?
-1131
In base 15, what is -b + 46?
3a
In base 7, what is -2225 - 6?
-2234
In base 10, what is 25 - -7?
32
In base 8, what is 3 + 12?
15
In base 16, what is -1 + -54?
-55
In base 11, what is -133 + -48?
-180
In base 6, what is -1315 + 3?
-1312
In base 5, what is 41 - -4?
100
In base 6, what is -10010 + 5?
-10001
In base 6, what is -4 + 4?
0
In base 13, what is 5 + 1b0?
1b5
In base 15, what is -3ad - 4?
-3b2
In base 8, what is -26 - 11?
-37
In base 11, what is -5 - 182?
-187
In base 16, what is 0 - -3e?
3e
In base 6, what is 3201 + -5?
3152
In base 10, what is 362 - -15?
377
In base 6, what is -1244 + 20?
-1224
In base 15, what is -a - 5?
-10
In base 11, what is -2 - -1040?
1039
In base 11, what is -2 - 57?
-59
In base 7, what is -24 + -22?
-46
In base 16, what is -2 + 3?
1
In base 10, what is 3 - 60?
-57
In base 7, what is 0 - -104?
104
In base 16, what is b6 - 3f?
77
In base 8, what is 127 - 0?
127
In base 11, what is 48 - -7?
54
In base 16, what is 1264 + 4?
1268
In base 2, what is 1111 - -10010?
100001
In base 15, what is 4 - -18?
1c
In base 6, what is 3 - 1225?
-1222
In base 9, what is 6 + 52?
58
In base 6, what is 113 - -3?
120
In base 4, what is -3 + -123?
-132
In base 6, what is 11025 - 3?
11022
In base 8, what is 3 - -5534?
5537
In base 2, what is -10001 - 0?
-10001
In base 3, what is 12 - -120?
202
In base 13, what is -b21 + 7?
-b17
In base 2, what is -101010110110001 + 1?
-101010110110000
In base 11, what is 3 + 148?
150
In base 7, what is -1 + 313?
312
In base 7, what is 344 - -11?
355
In base 5, what is -13212 - -2?
-13210
In base 11, what is 7 - 5?
2
In base 5, what is 13241 + -22?
13214
In base 16, what is -4a3 + -a?
-4ad
In base 10, what is -2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
-2
Express 12168*l**3 - 24281*l**3 + 12165*l**3 + 20*l**2 as j*l**3 + x*l**2 + m + o*l and give x.
20
Rearrange -1676*b**2 - 4048*b**2 - 3252*b**2 - 154*b**2 + 2334*b**2 to r + k*b + w*b**2 and give w.
-6796
Rearrange -4*f - 28 - 21 - 22 + f + 1 - 1 - f - 3*f + 3*f + (4 - 2 + 0)*(1 - 1 - 2*f) + 0*f + 3*f - 2*f + 17*f - 4*f + 0*f to the form q*f + s and give s.
-71
Rearrange -7*p**2 - 44*p**2 - 16*p + 5*p**2 - 3 - 12*p**2 - 3*p**2 to u*p + k + w*p**2 and give w.
-61
Express (l + 2*l - 2*l)*(1445 + 5520 - 1136) + (-5 + 3 + 4)*(2*l - 5*l + 4*l) as j*l + y and give j.
5831
Express (-107 - 182 - 76)*(-7 + 0 + 4)*(1 + 2*g - 1)*(-3 + 6 - 4) as q*g + x and give q.
-2190
Express (5730808*b**2 - 5730808*b**2 + 25072*b**3)*(2*b + 2 - 2) in the form t*b**3 + c*b**4 + u*b + y + p*b**2 and give c.
50144
Express (3 - 3 + 2)*(j + 2 - 2 + (j - 1 + 1)*(0 + 3 - 2) - 588*j + 1051*j + 1109*j) in the form c + o*j and give o.
3148
Express -11*s**2 + 2*s**2 + 0*s**2 + (-2 + 2 + 2*s)*(-3*s + 3*s - s) - 16*s**2 + 33*s**2 - 28*s**2 as l*s + v + a*s**2 and give a.
-22
Express (0 - 6 + 3)*(-18495*s**4 - 28982*s**4 + 21695*s**4 + 2*s) - 2*s**4 + 4*s**4 - 3*s**4 in the form z*s + o*s**2 + c + a*s**4 + m*s**3 and give z.
-6
Express (3*b**2 + 2*b - 2*b)*(-68*b + 126*b - 73*b) + 1 - b**3 - 1 + 2*b**2 as d*b**2 + g*b**3 + z*b + m and give d.
2
Express y**3 - 281*y + 102*y - 6*y**4 + 94*y + 1 + 87*y in the form v + h*y**2 + t*y + w*y**4 + a*y**3 and give t.
2
Express -1 - 1223739*o**4 + 1229*o + 2*o**2 + 1223741*o**4 + 329*o in the form b*o**3 + f*o**2 + u*o**4 + h + l*o and give h.
-1
Express -6410*y + 10728*y + 10143*y + 5872*y as d + f*y and give f.
20333
Rearrange -27 + 32879*h - 8113*h + 27 to j + v*h and give v.
24766
Rearrange -3*n**3 + 3*n**3 - n**3 + (-31*n**2 - 39*n + 39*n)*(1 + n - 1) + 174 + 3*n**2 - 174 - 15*n**3 to y*n**2 + g + c*n**3 + k*n and give y.
3
Express (-3 - 5 + 2)*(-3*k - k + 5*k)*(-106*k**2 + 1475*k - 1475*k) as x*k**2 + m*k + d*k**3 + p and give d.
636
Rearrange 1017773*w**2 - 2 + 4*w**3 + 2*w**3 + 326*w**4 - 3*w**3 - 1017771*w**2 - w to q*w + z*w**4 + o*w**3 + k*w**2 + g and give z.
326
Rearrange 5460*p**2 - 188*p + 4 - 9833*p**2 + 188*p to the form q*p + k + s*p**2 and give s.
-4373
Express (2 - 1 - 2)*(-14*a + 14*a + 5*a**2)*(-3498 - 3493 + 6996)*(a + 4*a - 4*a) in the form p*a**3 + u*a + b*a**2 + j and give p.
-25
Rearrange 95*r + 5*r**2 - 8*r**2 - 2*r**3 - 493*r - 3220*r**4 + 3 + 3221*r**4 to the form m*r**4 + i + f*r**2 + o*r + z*r**3 and give o.
-398
Express (-15620 + 31193 - 15673 + 39*p)*(0 - 4 + 3) - p - 3 + 3 + (-5 + 3 + 0)*(-p + p - p) + (3 + 0 - 4)*(-2*p + p + 4*p) as w + f*p and give w.
100
Express -63*r + 7 - 9*r**2 - 13 + 19 - 10*r**2 - 15 as j*r + p*r**2 + g and give p.
-19
Rearrange 20*l**2 + 1 - 5*l**4 - 4*l**3 + 22*l**2 + 2*l**2 + 7*l**4 + 0*l**4 to b*l**3 + q*l**4 + v + z*l**2 + g*l and give v.
1
Express 0*q + q + 0*q + 10 - 2*q - 10 + (7*q - 5*q + 2*q)*(-4 + 2 + 4) - 5*q - 2*q + 5*q - 54*q - 236 + 236 as j + s*q and give s.
-49
Rearrange 3640*l - 8421*l - 8278*l - 525*l - 8814*l to the form i*l + a and give i.
-22398
Express (-22 - 36 - 29)*(-1116*h**4 + 358*h**4 + 542*h**4) - 2*h**4 + 3*h**4 + 2*h**4 in the form v*h**2 + z*h + n*h**4 + j*h**3 + o and give n.
18795
Express (71 - 231 - 162 + 66)*(2*c + 0*c + c + c + 3*c + 0*c - 2 + 2 + c + (3 - 1 - 1)*(2 - 2 + 2*c) - 3*c - c + 3*c) as l + r*c and give r.
-2304
Express 41 - 46 + 38 + 5*b - 14*b in the form d + f*b and give f.
-9
Rearrange -b - 3*b + 5*b + (-406 + 63 + 151)*(-46 + 49 + 33)*(3*b - 2*b + 0*b) to l + r*b and give r.
-6911
Rearrange 19626 + 21*x - 24*x + 6740 - 24*x + 28*x - 2*x + 4*x + 0*x + (1 - 1 - 2)*(x + 4*x - 3*x) to v + z*x and give z.
-1
Express (0 + 3 - 1)*(-428225*w**4 + 834148*w**4 - 420360*w**4) in the form d*w + h*w**4 + j*w**2 + a*w**3 + r and give h.
-28874
Express (-4*p - 9*p + 0*p)*(-156 - 39 + 60) + 3*p + 2*p - 2*p as m + x*p and give x.
1758
Express 82*q**2 + 2*q - 30*q**2 - 51 + 50 - 3*q**3 as r*q**3 + y*q**2 + u + k*q and give u.
-1
Express -316*i - 9*i**3 - i**2 + 2*i**2 - 315*i + 648*i + 2 as b*i**2 + z*i + y*i**3 + u and give b.
1
Rearrange 5*c - 2137*c**2 + 4215*c**2 - 2165*c**2 to l + o*c + z*c**2 and give o.
5
Express (2 - 2 + 2*t)*(4*t - 3*t - 2*t) + 1 - t**2 - 1 + (1 - 1 + t**2)*(0 + 0 + 2) - 57347*t - 360*t**2 + 57347*t as c + r*t + o*t**2 and give o.
-361
Rearrange -31 + 2*v**3 - 2*v + 7 + 20 + 4 - 2556*v**4 to the form l + q*v + a*v**4 + s*v**3 + m*v**2 and give a.
-2556
Express (-3*t + 0 + 0 + (6 - 3 - 1)*(-252 - 20*t + 252))*(5 + 5 + 4) as p*t + k and give p.
-602
Rearrange -31*a + a + 8*a - 17 - 8 + 7 to the form c*a + t and give c.
-22
Express (16 + 2*z - 16)*(8 + 1 - 5 + (-3 + 0 + 4)*(-2 + 0 + 1))*(0 + 1 - 3) in the form h + u*z and give u.
-12
Express (-52 + 807543*a**2 - 807543*a**2 - 174*a**3 - a)*(-4*a + 5*a - 3*a) as s*a**2 + z + v*a**3 + i*a + t*a**4 and give s.
2
Rearrange (1 + 2 - 4)*(12*u + 34*u - 19*u)*(5*u - 6*u + 8*u) to the form q*u**2 + l*u + o and give q.
-189
Express i**2 + 5524*i - 250*i - 4 - 5 + 9 in the form u*i**2 + m + o*i and give o.
5274
Express 2*n + 605 + n + 760 - n - 397 in the form f + k*n and give k.
2
Express -277*s + 541*s + 63 - 951*s - 47 in the form m*s + l and give m.
-687
Express (35 - 3 - 13)*(-13*d - 2*d + 6*d) + 7*d - 17 + 17 in the form a*d + z and give a.
-164
Express -130*p - 774*p - 1416*p as c*p + s and give c.
-2320
Express -63*i + 1 + 262*i**2 - 65*i + 5*i**3 + 194*i - 66*i as q + u*i**3 + l*i**2 + m*i and give u.
5
Rearrange -140*n**4 - 2*n - 140*n**2 + 139*n**2 - 7*n**4 + 3 to the form f*n**2 + s*n**3 + w*n + p + v*n**4 and give v.
-147
Express (4 - 2 + 0)*(151*b**2 + 820*b**2 + 2770*b**2) in the form x*b**2 + r*b + a and give x.
7482
Rearrange (3 - 3 - 2*a**2)*(3*a + a - 3*a)*(-102*a - 1005 + 502 + 504) to the form s*a**2 + z*a**4 + k*a**3 + g*a + h and give z.
204
Rearrange (-5 - q + 5)*(-158 + 1 - 97)*(3*q - 2*q - 6*q)*(-3 + 2 + 3) to l*q**2 + f*q + z and give l.
-2540
Rearrange -305*i**2 + 241*i**2 + 3 - 284*i + 325*i to b + m*i + u*i**2 and give m.
41
Rearrange w**2 - 15238*w**3 + w**4 - 31 - 2*w + 15236*w**3 + 0*w**4 to d*w**2 + j*w + r*w**3 + m + l*w**4 and give l.
1
Express -6280*i + i**3 - 4*i**2 + 3*i**3 + 8 + 3140*i + 3141*i in the form m*i**3 + g*i + j + d*i**2 and give j.
8
Rearrange (-2*u + 4*u - u)*(99303*u**2 - 99303*u**2 - 589*u**3) - 86*u**2 - 46*u**4 + 86*u**2 to the form k + l*u**4 + m*u**3 + j*u**2 + g*u and give l.
-635
Express 4*j**3 - j**2 - 133 - 6*j**3 - j**4 - 137 - 131 + 409 as k + s*j**2 + m*j + w*j**3 + n*j**4 and give k.
8
Express 11*b**4 + 1015*b**2 + 15 + 4*b - 14*b**3 - 1018*b**2 + 14*b**3 - 8*b**4 as a*b**3 + m*b**2 + v*b**4 + p + i*b and give v.
3
Express -1 + 1728*t**2 + 4980*t + 4943*t - 9922*t as y*t**2 + j + o*t and give j.
-1
Express 17091*t - 3026*t + 1638*t + 6491*t in the form v + i*t and give i.
22194
Rearrange 2*b - b + 5*b - 1 - 2*b + 1 + (-1 + 1 - b)*(-3 - 1 - 1) + 3 - 3 - 2*b + b + 8*b - 4*b to the form u*b + i and give u.
12
Express 188*j**2 - 16*j**3 + 1167 - 1256 - 187*j**2 as h*j + x*j**3 + c*j**2 + l and give x.
-16
Express -728*t - 723*t - 737*t + 2187*t - 1975*t**3 in the form h*t**2 + w*t + g + u*t**3 and give w.
-1
Express 1059 - 540 + 10210*h - 519 in the form f*h + d and give f.
10210
Express -14212*p**4 + 28410*p**4 + 143*p**3 - 2*p**2 - 14199*p**4 in the form o*p**3 + r*p + w*p**4 + s + c*p**2 and give c.
-2
Express 19*p**4 + 8 - 15*p**4 + 48 + 3*p - 11 - 2*p**3 in the form f*p + w + z*p**4 + c*p**3 + r*p**2 and give f.
3
Express -10591*s - 6780*s + 5897*s - 11615*s - 8690*s in the form m*s + u and give m.
-31779
Express 52*u - 15864 + 15975 - 110*u + 4*u**3 + 54*u as p + z*u + k*u**2 + s*u**3 and give s.
4
Express (3*j - 4*j - j)*(-10417 - 2742 - 9239 + 10351 - 12749) as a*j + w and give a.
49592
Express 3*f - 3*f + 3*f + 2*f + 3 - 3 + (0*f + f - 3*f)*(-3 + 1 + 0) + 2*f + 0*f + 0*f + (-880 + 343 - 8)*(0 + 0 - 3*f) as b*f + d and give b.
1646
Express -10*t + 9*t + 2*t + 295*t**3 - 884*t**2 + 886*t**2 in the form z + k*t**3 + o*t + c*t**2 and give z.
0
Express (-2637*g + 5262*g - 3871 - 3285 - 2624*g)*(-g + 2*g**2 + g) in the form t + f*g**2 + d*g + c*g**3 and give f.
-14312
Rearrange (-12360*q - 16839*q - 13602*q + 13817 | {
"pile_set_name": "DM Mathematics"
} |
Suppose s = j - z. Solve 2*q + j = -2*q for q.
-4
Let z(d) = -36*d**3 + d - 8 + 4*d**2 + 18*d**3 - 5*d + 19*d**3. Let h be z(-4). Solve 3*i + h = -4 for i.
-4
Let p be (-6 - -7)*-3 + (-2 - -17). Suppose b - 27 = -p. Solve 5 = 4*h - b for h.
5
Let t = -6 + 1. Let u(d) = -7*d - 35. Let s be u(t). Solve s = -o + 7*o for o.
0
Suppose 136*g - 62 + 2 = 131*g. Solve g*i + 215 = 323 for i.
9
Suppose 0 = -3*c + 15, -w - 3*w + c + 11 = 0. Let y(r) = 19*r - 54. Let g be y(w). Solve -18*d = -g*d + 8 for d.
2
Suppose -4*w + 3*v + 628 = 0, 6*v - 442 = -3*w + v. Solve -21*u = u - w for u.
7
Let y(t) = -5*t**3 - 3*t**2 + 2*t - 19. Let c(m) = 2*m**3 + 2*m**2 + 9. Let s(u) = 9*c(u) + 4*y(u). Let p be s(4). Solve 11*z + 12 = p*z for z.
-2
Let b(r) = 5*r**2 - 96*r + 197. Let n be b(17). Solve 43*i = -n*i - 424 for i.
-8
Let h(t) = -8*t - 8 + 2*t**3 - 7*t**2 + 0*t**3 - 7*t**3 + 2*t**3 + 2*t**3. Let l be h(-6). Solve -10*d - 30 = -l*d for d.
-5
Let j = -749 + 759. Suppose 3*x = 4*b + 18 - j, -5*x - 4*b - 8 = 0. Solve x = -0*c - 2*c for c.
0
Let q be 20/25*(-862)/(-8) - 2/10. Solve -79 = -7*f - q for f.
-1
Let w be (12/15)/(5*2/50). Suppose -40 = 2*c - 5*x - 57, w*x - 26 = -5*c. Solve c*f + 30 - 42 = 0 for f.
2
Suppose 0 = 297*n - 294*n - 6. Suppose -n*v - 2*g = -4, 5*g = 13*v - 16*v. Solve -5*c - v = -15 for c.
2
Let h(q) = 74*q - 1554. Let m be h(21). Solve -s + 18 - 14 = m for s.
4
Suppose -5 = -g - 142. Let q = g + 139. Solve -q = 2*c - c for c.
-2
Suppose 0 = 7*a - 5*a. Suppose x + 2*x = 3*p - 33, a = p + 3*x - 7. Let w(y) = -y**2 + 8*y - 9. Let t be w(2). Solve p = q - t*q for q.
-5
Suppose 0 = -3*o + 4*p + 44, -5*o + 4*p + p + 85 = 0. Solve -o*q + 46*q = 24*q for q.
0
Let t = 5406 + -5371. Solve 0 = -t*y + 231 - 21 for y.
6
Let f be (-10829)/(-182) - (-6)/4. Solve f*c - 63*c = 8 for c.
-4
Let p(o) = -4*o**3 + o**2 + o. Suppose 2*g = 2 - 4. Let d be p(g). Let b(l) = -l**3 + 15*l**2 + 2*l - 14. Let c be b(15). Solve 0*m + d*m = c for m.
4
Let i(q) = 59*q + 17*q**2 - 19*q**2 + 7*q**2 - 12. Let z be i(-12). Solve z = 5*k - 12 - 8 for k.
4
Let b(j) = -10*j**3 + 20*j**2 + 9*j - 10. Let y be b(-1). Solve -y*i + 78 = -24*i for i.
-6
Let z(u) = -4*u - 12. Let g be (-36)/14*(-84)/(-18). Let k = -20 - g. Let i be z(k). Solve w + 3*w + i = 0 for w.
-5
Suppose -o + 35 = 11*n - 7*n, 0 = n + 3*o - 6. Let w = -3 + n. Suppose 5*r - w = -1. Solve -l = -4 + r for l.
3
Suppose -4*p - 27 = -11. Let c be (-568)/(-16) + 2/p. Suppose c = -4*u + 55. Solve h = -0*h - u for h.
-5
Suppose r + 169 = 2*h, 5*h + 27*r - 436 = 25*r. Solve -5*d - h = -116 for d.
6
Let x = 26 - 18. Suppose 0 = 6*o + 8 - x. Suppose 3 + 11 = 4*i - z, o = -2*z - 4. Solve 4*r - 5 = i*r for r.
5
Let g = -40776 - -41236. Solve 50*x + 42*x + g = 0 for x.
-5
Let c(t) = -5*t - 4*t**2 + 3*t**2 + 1 + 8*t**2 + t**3. Let u be c(-6). Let k = 71 - u. Solve -z = 3 - k for z.
1
Let i(r) = -16*r**3 + 3*r**2 + 8*r + 6. Let f be i(-1). Suppose 4*z + 5*k + 25 = 0, -3*z - 13*k + f*k + 20 = 0. Solve z = 19*d - 13*d - 30 for d.
5
Suppose 2*f - 20 = 3*r - 0*r, 0 = 3*r + 4*f - 4. Suppose 0 = -3*g - 3*b + 93, 16 = 5*g - 2*b - 132. Let i be (r/(-10))/(1/g). Solve i = 4*m - 0*m for m.
3
Let q(u) = 48*u**2 + 2*u + 1. Let k be q(-1). Let d = 56 - k. Solve d = 2*s - 1 for s.
5
Let i(y) be the third derivative of -y**4/8 - 17*y**3/6 - 3*y**2. Let p be i(-5). Let z be (p/3)/(5/(-30)). Solve n = -z*n for n.
0
Suppose 13 = 5*i - 2. Suppose 253*g + 54 = 254*g. Suppose 55*s - 6 = g*s - 5*r, -2*s + 3*r = -12. Solve -i*c - s = -0*c for c.
-2
Suppose -5*i + 2*t = -198, 1693*i - 102 = 1690*i + 4*t. Solve 20*r - 27*r + i = 0 for r.
6
Suppose -8*d = 29*d - 851. Suppose 0 = -3*y + 5*m + d, -52 = -2*y - 3*m - m. Solve 25 = -11*r + y*r for r.
5
Let x(i) = i**3 + 16*i**2 - 17*i + 6. Suppose 25 - 110 = 5*m. Let r be x(m). Solve 2*f + r - 10 = 0 for f.
2
Let w(o) = o**2 + 23*o + 117. Let p be w(-16). Solve -p*j - 221 = -241 for j.
4
Let g = -4599 - -4642. Solve 0 = -20*v - 3 + g for v.
2
Suppose 0 = 5*f - 5*p, -2*f + 21 + 33 = 4*p. Let b be ((-6)/(-7))/((-2)/(-14)). Solve b*n - 27 = -f for n.
3
Suppose 19*m - 8*m = 29*m - 432. Solve 7*p = -m + 66 for p.
6
Let n be ((-30)/6 - -1)*-1. Suppose -3*j + 12 = -n*s, 0*s + 3*j = 5*s + 12. Suppose s = h - 3*p + 7*p + 2, -3*h = 2*p - 14. Solve -4*c = -6*c - h for c.
-3
Let a be 1426/31 - (8 + -1). Solve a*j + 10 = 10 for j.
0
Let p be (-175)/112*-10 + (-18)/(-48). Solve 61 = p*v + 29 for v.
2
Suppose -51*q + 1072 + 509 = 0. Solve q = -8*o + 47 for o.
2
Suppose 5*x + 4*y + 194 + 250 = 0, 16 = 4*y. Let r = 126 + x. Let k = -33 + r. Solve 0 = -c - 0 - k for c.
-1
Let u be 3/((-6)/(-146)) + -4*(-7)/28. Solve -14*k + u = -51*k for k.
-2
Suppose -9*h + 4*h - 29 = -4*s, 0 = 5*h - 2*s + 37. Let m(b) = b**3 + 9*b**2 - 13. Let c be m(h). Let d be c/(-6) + (-12)/72. Solve 4 = -d*t + 6*t for t.
1
Let u(n) = 3*n**2 + 153*n + 1050. Let o be u(-8). Solve -423 = -o*p - 405 for p.
1
Suppose -12500*o + 12489*o + 143 = 0. Let n be (-1 + 4)*2 + 0. Solve -5 = -n*b + o for b.
3
Let r(d) = -89*d - 797. Let b be r(-9). Solve -5*y + 6 = -b for y.
2
Suppose 176*i - 84 = -3*n + 175*i, -4*i = -12. Solve 0 = -42*u + n*u + 45 for u.
3
Let k be 18/4 + -4 + 2/(-4). Suppose -5*x - x + 18 = k. Suppose -x*c + 41 = -7. Solve 5*d - 9*d + c = 0 for d.
4
Let n(y) = y**2 + 15*y - 182. Let a be n(8). Suppose f - 23 = 5*h, 2*h = a*f - 0*h - 14. Solve f*b + 4 = 2*b for b.
-4
Suppose -21*b - 5*b = 52*b - 5148. Solve 2*p = b - 64 for p.
1
Let b(w) = -16*w - 10. Let f(r) = 11*r + 7. Let i(m) = -5*b(m) - 8*f(m). Let c be i(-2). Let a be 13/2 - (-15)/c. Solve -5*y - a = -y for y.
-2
Let l = -745 - -739. Let r be (-1 - 7) + (l - -46). Solve -44 + r = -6*c for c.
2
Let l(w) = 216*w + 7002. Let o be l(-32). Solve -56 = -76*h + o*h for h.
-4
Let v = 26558 + -26558. Solve 0 = -6*s - v*s + 6 for s.
1
Suppose -5*i = -2*i. Suppose i = 7*b - 3*b. Suppose 3*p - 19 - 5 = b. Solve 3*w = -p + 20 for w.
4
Let d(b) = -b**2 - 13*b + 54. Let h be d(0). Solve -h = -27*m + 81 for m.
5
Let g be (4/6)/(1/(-3)). Let s be (3 + (g - 1))*1. Suppose 5*h + 0 - 20 = s. Solve 3*v - h*v + 3 = 0 for v.
3
Let l(a) = -2*a**3 + 15*a**2 + 32*a + 28. Let w(v) = v**3 + 2. Let b(j) = -l(j) - w(j). Let z be b(17). Solve 0 = 5*h - 6 - z for h.
2
Let c be 28/(-49) - (-1548)/14. Let y = c - 97. Solve 2*x - 17 = -y for x.
2
Suppose 20 = 2*s - 4*g, -5*g = -4*s + 54 - 23. Suppose -8 + 68 = 10*a. Let x be (s + 56)/5 - a/2. Solve 4*w = 7*w - x for w.
3
Let y(g) be the first derivative of g**3 + g**2/2 + 61. Let z be y(-2). Solve 6*i + z = 8*i for i.
5
Suppose 13*i = 10*i. Suppose 0 = -5*f - 4*l, 5*f + i*f = -l + 15. Suppose -f*c = 2*u - 34, 2*u + 3*c - 57 = -3*u. Solve -3*g = -u - 0 for g.
3
Let n be 80 - (18 - (18 - 7)). Solve 84*q = n*q - 22 for q.
-2
Suppose -1 = 12*b - 13*b + 2*w, -5*b + 2*w = -13. Let a(z) = z**3 - 3*z**2 - 5*z + 16. Let r be a(b). Solve 4 = 3*j + r for j.
1
Let d be ((-14)/(9 + 5))/(121/(-60) + 2). Solve -49*k = d - 403 for k.
7
Suppose -3*q + 6*q = b - 209, 217 = -3*q + 5*b. Let w = q + 75. Solve w = 3*o - 9*o for o.
-1
Suppose 122*q = 30*q - 14*q - 161*q. Solve -15*t - 1974 + 2004 = q for t.
2
Let u(o) = 3*o + 37. Let y be u(-20). Let x = y - -43. Solve 0 = -6*s - 10 - x for s.
-5
Let l = 1562 - 1522. Solve -l = 15*n - 25*n for n.
4
Suppose 0 = 6*y - 4*y + 2, 0 = 5*c + 2*y + 947. Let k = -185 - c. Solve 0 = -k*q - 13 + 1 for q.
-3
Suppose -h - 97 = -4*m + 163, 0 = m - 2*h - 58. Let l be (-1 - -3)/(44/m). Suppose -3*v - l*v = 0. Solve 4*x - 2*x - 2 = v for x.
1
Let f(k) = -3*k**2 - 17*k + 30. Suppose 6*c - 3*c + 6 = 0. Let b(w) = -w**2 - 8*w + 15. Let r(a) = c*f(a) + 5*b(a). Let n be r(6). Solve -n = -d - 4*d for d.
3
Suppose 326*l = 348*l - 1188. Solve 57*f - l*f + 9 = 0 for f.
-3
Let h be (8/12)/(2/3). Suppose 2*t = -15*t - 17. Let l = t + h. Solve l*k - 3*k - 6 = 0 for k.
-2
Let r(b) = -2*b**2 - 90*b - 586. Let k be r(-8). Solve -2*j + k*j = 4 for j.
1
Suppose 4*p + 32 = 4*l, -4*p + 19 = 5*l - 2*p. Let g = -11083 - -11107. Solve 0 = -l*s + 4 - g for s.
-4
Let x = 21199 + -21188. Solve -x = 2*d - 1 for d.
-5
Let m = 4925 + -4873. Solve -60 = -40*r + m*r for r.
-5
Let o(u) = u**3 - 6*u**2 - 6*u - 73. Let x be (-112)/12*(-102)/119. Let v be o(x). Solve 7*t + 14 = -v for t.
-3
Let n b | {
"pile_set_name": "DM Mathematics"
} |
(-1368)?
27
10/(-45)*(-1 - 7)/(-16)
-1/9
(-7526)/(-1590) - 4/(-15)
5
What is the value of ((-10)/9)/(4725/(-102060))?
24
What is the value of (-48)/(-15) - 66/330?
3
Calculate (-2)/5*(-29 + 0 + 19).
4
(20/(-14))/((-360)/630)
5/2
What is the value of ((-20)/(-50) + 42/20)*(-32 + 30)?
-5
What is the value of ((-3)/(-20))/((-264)/(-40) + -7)?
-3/8
124/8 + (-6)/(-12)
16
Evaluate (-12)/(-8) - 4/7 - 1.
-1/14
What is the value of ((-52)/(-286) + 9/11)/(7/7)?
1
Calculate 1 + -9 + 11 + (3/(-1) - -2).
2
What is the value of (-329)/235*16/(-56)?
2/5
What is ((-1)/(-6))/((-8)/40)*4?
-10/3
Calculate (-12)/(-34) + 902/1394.
1
5/35 + (-171)/1491
2/71
What is the value of 1200/(-54) - -13 - -9?
-2/9
What is the value of ((4/10)/((-6)/(-20)))/((-224)/2352)?
-14
Evaluate 1792/30576 + 4/(-26).
-2/21
861/492 - 22/8
-1
What is (((-279)/105)/3 + 136/476)*-5?
3
7*12/28 + (6 - (-7 + -12))
28
What is the value of ((-8844)/33902)/(21/(-46))?
4/7
(-3 - (3 + -2) - -2)/((-216)/(-1836))
-17
Evaluate (-30)/4 + -4 + (-35)/(-14).
-9
What is the value of 21/(4 - 7) + (-288)/(-40)?
1/5
What is 9/12*(3975/315 - 13)?
-2/7
222/(-21) + 354/413 + 10
2/7
Calculate (-1 + -2)/((-20)/(-7 - -3)).
-3/5
What is -8 + 2/(-4)*12 + 0 + -11?
-25
Evaluate (1/(6/(-8)))/(8*8/(-576)).
12
(-5568)/(-4176)*1/(-4)
-1/3
117/(-9) - 65/(-13)
-8
(-28)/(-126)*-3 + -1 + (-278)/(-174)
-2/29
Evaluate (1/(-9) + 260/72)*5/10.
7/4
What is the value of (-96)/(-324)*18*(-4 - 25/(-10))?
-8
Evaluate (-100)/(-60)*(7/5 + -1)*-6.
-4
Evaluate ((1 - 2) + 3)/(-91 - -90).
-2
20/4 + (-226)/50 + (-14)/35
2/25
(1 + 3/(-4) + 2)/((-13)/52)
-9
((-2)/132)/((-43)/(-172))
-2/33
(-20 + 10)/((-28)/12 + 3)
-15
Evaluate ((-22)/(-385) - (-1915)/175)/1.
11
(-20)/3*(-582)/485
8
(-188)/(-95) + (-92)/(-4370)
2
Evaluate (-72)/180 - (-15)/100 - 3/(-6).
1/4
What is the value of 3102/(-1683) - 9/(-51)?
-5/3
Evaluate ((-13464)/39)/(-44) + 5/((-15)/24).
-2/13
(-72922)/6137 + -2 + 32/17
-12
4 + 75 - 94 - 281/(-19)
-4/19
Evaluate 8/(-192) - 42/(-144).
1/4
((-3302)/(-381))/((-4)/(-6))
13
What is the value of 3/(-4)*((-110)/(-6))/(-5)*-4?
-11
What is 6 + 2 + (22 - 26)?
4
Evaluate (-570)/(-627) - 3582/(-198).
19
1178/380 - (-5)/(-50)
3
What is (3/(-46))/((1/4)/((-75)/225))?
2/23
Calculate (4/12)/(9/(-243)).
-9
What is the value of 5*((-5 - -9) + -5)?
-5
(1/9)/((-1)/(-3)*(-107)/535)
-5/3
Evaluate 18240/3000 - (3 - -3).
2/25
What is (-988)/(-152) - 2/4?
6
Evaluate (-1 - 0) + (-1452)/1815.
-9/5
What is -4*(3 - 7038/2392)?
-3/13
Calculate -4 + 3*16/(-120)*(-49 - 16).
22
Evaluate 3*(572/(-66) + (-12)/(2/(-1))).
-8
0 + (-148)/377 + (-1620)/(-3510)
2/29
What is the value of 198/(-231) - (-33)/21?
5/7
Evaluate (-2 + 3)/(9 + 36/((-36)/6)).
1/3
What is the value of 2/(-25) + (-20 - (13 + 1509879/(-45675)))?
-2/87
What is (20/(-42))/(15/18) - (-43)/14?
5/2
Calculate -2*(2 + -1)*-6*440/(-480).
-11
Calculate 693/5082 - 687/198.
-10/3
Calculate (6/5)/((-46)/(-115)*3/(-18)).
-18
Calculate ((-148)/(-28) - 3)/((1804/(-154))/(-41)).
8
Evaluate 99/11 + (-812)/91.
1/13
What is the value of 14/(-4) - (351/(-1014) - (-2)/(-13))?
-3
Evaluate (-1 - (0 + 1)) + (-2312)/(-289).
6
What is ((-2)/(-10))/(-1 + 2)?
1/5
What is -6 - (-63)/14 - (-24)/18?
-1/6
Evaluate ((-280)/(-336))/((-20)/15).
-5/8
What is the value of 52/(-32) - (-7)/56?
-3/2
Calculate 65/(-65)*(3 - 43)/2.
20
What is ((-16)/(-48)*24/(-16))/(1/44)?
-22
What is the value of 4558/13416 - (-10)/130?
5/12
(1280 - 1287) + ((-40)/6)/(-2)
-11/3
(-12)/10*150/120
-3/2
Calculate (-23)/23 - (-13 + 1).
11
What is ((-490)/(-9555))/((-6)/9)?
-1/13
Evaluate 2/5*(-575)/(-920).
1/4
What is ((-4)/40*-5)/(-2)?
-1/4
Evaluate (-7)/(14/15)*4/27.
-10/9
Evaluate ((-154)/(-910))/(8/25) - (-2)/(-13).
3/8
What is the value of ((-3)/(-18))/(46/(-621) - (-80)/(-135))?
-1/4
(-1 - 8/(-2))/(33 + -17 - 31)
-1/5
What is 8 + (156/12 - 13)?
8
What is the value of -13 + (-282)/(-110)*5?
-2/11
What is the value of 1/(-3)*(-36)/(-10)?
-6/5
Calculate (-730)/(-50) - (-19 + 31 - 2).
23/5
What is the value of -6 + 496/80 - 6/(-20)?
1/2
What is (-8 - 610/(-70)) + 259/49?
6
(16/2 - (-3157)/(-154))*6/(-5)
15
Evaluate 7 + (135/(-270))/((-1)/(-38)).
-12
What is the value of (-3660)/366 - (-776)/78?
-2/39
What is the value of (-70)/(-6) - (-8073)/(-1053)?
4
What is the value of (-29 - -25)/(((-48)/9)/(-8))*-2?
12
(-22)/4*(-16 - 8 - -26)
-11
What is the value of -8*(23 + (-990)/44)?
-4
-6 + (20 - (-2432)/(-171))
-2/9
What is (-23)/(207/(-12)) - (-88)/(-84)?
2/7
Evaluate 30/25 + (7 - 882/110).
2/11
What is the value of (15*(-7)/(-560))/((-1)/(-36)) - 5?
7/4
Calculate ((-25)/60)/(1/(-1) - (-2)/(-3)).
1/4
Calculate 5/(-130)*12 - (-2142)/(-91).
-24
What is (1108/1385)/((-188)/10)?
-2/47
Evaluate ((-1500)/(-4125))/(1*(-4)/(-3)).
3/11
What is (-32 + 29)/(12/(-2))?
1/2
What is the value of 11/(-33)*-1 - (-44)/(-6)?
-7
Evaluate 386/(-22) - (-1128)/2068.
-17
What is (-308)/8624*(-16)/18?
2/63
What is -10*(-12)/360 + (-26)/(-3)?
9
(2 + (-540)/75)*35/14
-13
Evaluate 8*(-27)/(-576) + 5/8.
1
What is 2595/692*(-24)/(-195)?
6/13
Calculate (-7320)/920 - 35/805.
-8
Calculate (-11 + 13)*((-3)/(-12) + 10/56).
6/7
Calculate (-2365)/198 + 3/(-54).
-12
What is (-105)/(-75) - (-434)/(-35)?
-11
Evaluate (-45)/10 + ((-80)/(-2))/8.
1/2
What is (9 - 3960/500)*(14/(-3) + 3)?
-9/5
What is the value of (0 - -6) + -3 - (-41 + 58)?
-14
What is the value of ((-556)/(-120) - -3) + 105/(-30) + -4?
2/15
What is (13 + 568/(-44) - (-4)/(-22))*1?
-1/11
(-183)/15 + 765/(-425)
-14
What is the value of ((-58)/(-3))/(48/18) - (-30)/40?
8
Calculate 3 + (2*9/(-90) - (-5044)/(-1755)).
-2/27
Calculate (-21 - -52) + (-15112)/488.
2/61
Calculate (-10 - (-429)/(-66)) + 18.
3/2
What is the value of (2768/128 + -14)*2 - 11?
17/4
Calculate (-912)/1368*(-90)/4.
15
What is the value of ((-1536)/(-13440))/((-2)/5)?
-2/7
Calculate (-1687)/105 + (-11 - -1) + 26.
-1/15
18/15*270/(-36)
-9
What is (-19)/2 + (-1)/2 - 30272/(-2992)?
2/17
Calculate -2*(12/21)/(13 - 9).
-2/7
Calculate 5 + (-180)/(-450) + 248/(-20) + -2.
-9
(-18536)/(-23170) + -1 + 208/(-10) + 1
-20
What is the value of 21 + 1311/(-63) - -4*(-6)/(-252)?
2/7
Evaluate 3 - -1 - (552 + -552).
4
What is (-1845)/792 - (-6)/(-11) - -3?
1/8
What is the value of (-30)/(-36) + 1161/(-810)?
-3/5
What is the value of 7/((-9765)/4247) + 3?
-2/45
(-5 - 26/(-5))/(13 - 12)
1/5
((-1)/6)/(((-16)/(-72))/(80/45))
-4/3
Calculate 3*1/(-12) + 2 + (-102)/24.
-5/2
What is the value of (1500/180)/((-5)/6)?
-10
Evaluate 4/18 - -4*10/(-180).
0
What is the value of (-93)/(-9) - (-4420)/(-300)?
-22/5
What is (1052/3419)/((-2)/(-6))?
12/13
What is (((-230)/40)/(-23))/(13/(-104))?
-2
Calculate (11 + (-105)/63)*(-12)/(-14).
8
What is 14 - -6 - (468/13)/9?
16
What is -7*((507/21 - 13) + -13)?
13
Evaluate (0 + 44)*91/364.
11
Evaluate (133/(-14) + 10)*2.
1
Calculate -5*(-11 + 11451/(-1045)*-1).
4/19
Calculate ((-37613)/1044 - -36)*(1 + 7).
-2/9
What is (-21 - 6)/81 - ((-10)/(-6) - 2)?
0
9 + 0 + 3945/(-435)
-2/29
Evaluate ((0 - -2)*3/(-21))/((-10)/42).
6/5
Evaluate ((-3375)/(-648))/((-15)/(-12))*6.
25
What is (-30)/234*(4/8 - (-45)/(-50))?
2/39
What is the value of (-2 - -3)/1 - (-1109 + 1133)?
-23
(-8 + 10 + -14)*(-4)/3
16
Evaluate (-10 - 0)*(-1)/3*90/(-60).
-5
What is 2/78*13 - (-4)/(-3)*-2?
3
Evaluate 7/(-2)*(15 + (-3489)/231).
4/11
Evaluate 12/(308/132 + (-3)/9).
6
What is the value of (33 - 18)*-5*1/(-15)?
5
What is the value of (-1)/7 - 238/49 - (-22)/6?
-4/3
Evaluate -29 - 42/8*8/(-28)*2.
-26
What is (289835/1092)/245 + (-10)/12 + 0?
1/4
Evaluate ((-2)/28)/((-80)/(-160)) - (-156)/14.
11
What is the value of (-29 - 3000/(-108))*-27?
33
What is the value of (-3)/(-22) - 1/2 - 39867/(-72336)?
3/16
What is the value of (-5)/(-15)*1 + (-6)/14?
-2/21
Evaluate 8/(-12)*3*4/7.
-8/7
Evaluate (-15774)/1012 - ((-936)/184 + 7 + -2).
-31/2
What is the value of (1 - 1)/(((-248)/(-31))/(-2 - -6))?
0
What is 1/(-10) + (-52)/(-120) + 160/(-525)?
1/35
Evaluate -5 + 55/((-33550)/(-14040)) + -18.
1/61
What is (-32708)/5180 + 13/5?
-26/7
What is (1/(-11))/((-117)/((-25740)/(-200)))?
1/10
(-92)/(-14) + (1/(-2))/(9/126)
-3/7
Evaluate 5*(-3)/(6*(-65)/208).
8
What is the value of (15202/(-1210) - -13)*((-4)/(-1) + -9)?
-24/11
Calculate 28 - 306/((-216)/(-24)).
-6
Evaluate 3162/510*(0 + 0 + -5).
-31
(-158)/(-6) + - | {
"pile_set_name": "DM Mathematics"
} |
*z**3 + 565*z**2 + 3*z + 121131.
33*z**2 + 1130*z + 3
Differentiate 2*n**3*q**3 + 2*n**3 - 36932*n - 1574705*q**3 wrt q.
6*n**3*q**2 - 4724115*q**2
What is the derivative of -10*i**4 + i**3 - 3*i**2 - 607*i + 883931 wrt i?
-40*i**3 + 3*i**2 - 6*i - 607
Differentiate -h**2*p**2*y - 2*h**2*p - 129352*h**2*y - h*p**2 + 82*h + 58*p**2 wrt y.
-h**2*p**2 - 129352*h**2
Differentiate 2*z**4 - 78439*z**3 + 55654 wrt z.
8*z**3 - 235317*z**2
Find the third derivative of 2*r*z**4 + 1293*r*z**3 - 64*r*z**2 + z**4 + z**3 - 32*z**2 - 4 wrt z.
48*r*z + 7758*r + 24*z + 6
What is the derivative of 11*h**2*v**2 + 3*h**2 + 783*h*v**2 - 4*h - 98 wrt v?
22*h**2*v + 1566*h*v
Find the second derivative of 99258*u**2 + 143992*u wrt u.
198516
Differentiate 1234871*a**2*k**2 + 267548*k**2 - 1 wrt a.
2469742*a*k**2
Differentiate -2015260*n**3 - 1303500.
-6045780*n**2
What is the second derivative of 3*f**3*h*x - 1760*f**3*x*y**2 + f*h*y**3 - f*h + 188*f*x*y + 2*h*x*y - 4*y**3 wrt y?
-3520*f**3*x + 6*f*h*y - 24*y
Find the third derivative of m*y**5 - 2*m*y**3 + m*y**2 - 2*m - 2*y**4 - 422*y**3 + y**2 + 6136 wrt y.
60*m*y**2 - 12*m - 48*y - 2532
Differentiate -70457*w**2 + 84747 with respect to w.
-140914*w
Find the first derivative of 164*r**4 - 24*r**3 + r - 47279.
656*r**3 - 72*r**2 + 1
Differentiate 2*d*v**2 + 3*d*v + 2*d + 142*v**2 + 2502 wrt v.
4*d*v + 3*d + 284*v
What is the second derivative of v**2*y**2 - 316*v**2*y + 29*v**2 - 44*v*y**2 + 279*v*y + v wrt v?
2*y**2 - 632*y + 58
Find the second derivative of -233331*z**2 + 32*z - 31016 wrt z.
-466662
Find the third derivative of 20375*q**2*t**3 - 4*q**2*t - 2*q*t**2 - 99*q*t + 10*t**4 + 9*t**2 - 1 wrt t.
122250*q**2 + 240*t
What is the first derivative of 1995*t**2*u - 4*t**2 + 11999*u - 1 wrt t?
3990*t*u - 8*t
Find the second derivative of 983*x**3 - 39*x**2 - 36286*x.
5898*x - 78
Find the second derivative of -2224698*t**2*v**5 + 1263*t**2*v - 3*t**2 - t*v + 48 wrt v.
-44493960*t**2*v**3
Find the second derivative of 4095*c**3*r + c**3 - c**2*n*r + 148*c*n*r - 2*n*r + n + 2*r wrt c.
24570*c*r + 6*c - 2*n*r
Find the third derivative of 317*f*r**4 + 4*f*r**3 + 20700*f*r**2 - 12*f + 38*r**6 wrt r.
7608*f*r + 24*f + 4560*r**3
What is the second derivative of 5*a**2*g - 1657*a**2*o**2 + 28*a**2*o*y + 2*a*g*y + 259*a*o**2 - 15*a*y + 3*o*y wrt a?
10*g - 3314*o**2 + 56*o*y
What is the first derivative of -179303*n**3 + 53816 wrt n?
-537909*n**2
Differentiate -3107*o**3*p - o**3 + 35*o**2*p + 79*o**2 - 58*o + p + 9 wrt p.
-3107*o**3 + 35*o**2 + 1
Find the third derivative of g**4 + 67961*g**3 + 365445*g**2.
24*g + 407766
What is the second derivative of -350746*u**5 - 372919*u wrt u?
-7014920*u**3
What is the third derivative of 102480*k**3*u**2 + 41*k**2*u**2 - k**2*u + k*u**2 - 68 wrt k?
614880*u**2
What is the first derivative of -2*t**4 - 11486*t**2 - 47870?
-8*t**3 - 22972*t
What is the first derivative of -3*c**2 + 11859*c + 238195 wrt c?
-6*c + 11859
Differentiate 2158396*n**2 + 573717.
4316792*n
Find the third derivative of -2*u**2*x**3 - 6*u**2*x**2 + 25628*u*x**3 - 10*u*x - u - 2*x**2 - 4*x wrt x.
-12*u**2 + 153768*u
What is the third derivative of 33*a**4*d**2 + 5*a**3*d - 15*a**3 - 2*a**2*d**2 - 17*a**2 - 2*a*d**2 + 2*d**2 wrt a?
792*a*d**2 + 30*d - 90
Find the third derivative of -3*g**6 + 4361*g**4 + 128551*g**2.
-360*g**3 + 104664*g
Find the second derivative of 49546*t**2*z - 11264*t*z - 2*z wrt t.
99092*z
Differentiate 2*c*i*p - 3*c*i - 12*c*p**2 - 3*c*p - 5*c - 4*i*p**2 + 1274*i - 56*p**2 + 3*p wrt i.
2*c*p - 3*c - 4*p**2 + 1274
Find the third derivative of -245*o**4 - 670*o**3 + 258797*o**2.
-5880*o - 4020
Differentiate -1882*p**2*u**2 + 161*p**2 + 5*u**2 + 2065 with respect to p.
-3764*p*u**2 + 322*p
Find the second derivative of 1097*a**4*z - a**3 + 2*a*z - 63*a + 2*z + 3 wrt a.
13164*a**2*z - 6*a
Find the second derivative of 4*j**3*u**2 + 10*j**3*u - 19554*j**3 - 5*j**2*u**2 - j*u**2 - 2*j*u + 2030*u**2 wrt u.
8*j**3 - 10*j**2 - 2*j + 4060
Find the third derivative of -3344*v**6 + 2*v**5 + 10*v**3 + 10*v**2 + 11840.
-401280*v**3 + 120*v**2 + 60
Find the second derivative of -243*r**3 - 661*r**2 - 906*r + 29 wrt r.
-1458*r - 1322
What is the first derivative of 60300*d*r**2 - 3*d*r + 14824*r**2 + 3 wrt d?
60300*r**2 - 3*r
What is the derivative of 122219*b*u**2 - 2*b - 2*u**2 + 37916 wrt b?
122219*u**2 - 2
Find the third derivative of 177550*r**3 + 182564*r**2.
1065300
What is the second derivative of -96970*r**3 - 132618*r wrt r?
-581820*r
Differentiate -10990*y + 13020 wrt y.
-10990
What is the third derivative of 181102*h**3 - 12*h**2 - 165*h - 8?
1086612
What is the first derivative of -2*d*l**3 + 102875*d*l - 4*l**3 + 16109*l**2 + 2*l wrt d?
-2*l**3 + 102875*l
Differentiate 2*b**4 - 6115*b**3 - 110999.
8*b**3 - 18345*b**2
Find the third derivative of -2*f**3*w**3 - 12576*f**3*w + 4*f*w**2 + 6221*w**3 wrt w.
-12*f**3 + 37326
What is the third derivative of 2218485*c**6 + c**2 + 1436*c + 131?
266218200*c**3
What is the second derivative of -695901*p**2 - 13*p - 10715 wrt p?
-1391802
What is the second derivative of -168318*a**2 + 168825*a wrt a?
-336636
What is the third derivative of 20*r**6 - 14266*r**4 - 2*r**2 - 135*r - 256 wrt r?
2400*r**3 - 342384*r
What is the third derivative of 2007*b*f*w**4 - 6*b*f*w**2 + 30*b*f*w - 5*b*f - 10*b*w**4 - 2*f*w**4 - 2*f*w wrt w?
48168*b*f*w - 240*b*w - 48*f*w
What is the third derivative of 2*n**2*q**3 + 607*n**2*q - 3*n*q**3 + q**3 + 3*q**2 wrt q?
12*n**2 - 18*n + 6
What is the derivative of -28*q*v**3 - 116*q*v**2 - q + v**3 - 62864 wrt v?
-84*q*v**2 - 232*q*v + 3*v**2
What is the third derivative of 749630*n**4 + 299*n**2 - 25*n - 2?
17991120*n
Differentiate 15*l*o**4 + 980*l*o**3 + 80133*l with respect to o.
60*l*o**3 + 2940*l*o**2
Differentiate 1172*j*y**3 - 3*j*y**2 - j*y - 5579*y**3 - 2 wrt j.
1172*y**3 - 3*y**2 - y
Find the first derivative of 240388*p**2*r + 18*p**2 + 536*p wrt r.
240388*p**2
Find the second derivative of -1470487*y**2 + 54*y + 2029 wrt y.
-2940974
What is the second derivative of -3*c**3*d**2 + 1785*c**3*d - 81754*c**2*d**2 + 3*d**2 + 3*d + 16 wrt d?
-6*c**3 - 163508*c**2 + 6
Find the second derivative of -15546*u**2 + 7296*u wrt u.
-31092
What is the second derivative of 63558*h**2 - 12188*h?
127116
Find the first derivative of 55*x**4 + 264*x**2 - 5762391 wrt x.
220*x**3 + 528*x
What is the derivative of -b**4*w - 61089*b**4 + 5*w - 5123 wrt b?
-4*b**3*w - 244356*b**3
What is the second derivative of -465742*o**4 + 55551*o?
-5588904*o**2
Find the first derivative of 285500*u**4 + 1570266 wrt u.
1142000*u**3
Find the second derivative of 7953*a**3 - 24*a**2*k + 200677*a*k + 6*a wrt a.
47718*a - 48*k
Find the third derivative of -58*h**4 + 2315*h**3*x - h**2*x + 10*h**2 - 3*h wrt h.
-1392*h + 13890*x
Differentiate 128*c**2*v*x + c**2 - 1533*c*v + 2*c*x + v + 10816*x - 1 with respect to c.
256*c*v*x + 2*c - 1533*v + 2*x
What is the second derivative of 3*b**3*i**2 + 9*b**2*i**2 + 850*b**2 - 33461*b*i**2 wrt b?
18*b*i**2 + 18*i**2 + 1700
Find the third derivative of 3716*r**5 - 2*r**4 - r**3 + 1133*r**2 + 3*r - 3.
222960*r**2 - 48*r - 6
Find the third derivative of 93806*k**3 - 2*k**2 + 15*k - 106 wrt k.
562836
Differentiate -101493*d**4*s - d*s + 76*s - 54 wrt d.
-405972*d**3*s - s
Differentiate 2*v**3 + 361*v**2 - 2*v - 26677 wrt v.
6*v**2 + 722*v - 2
What is the second derivative of f**3*w**3 + 3139*f**3*w - f**2*w - 13512*w**2 wrt w?
6*f**3*w - 27024
What is the second derivative of -732285*c*m**2 - 224849*c*m wrt m?
-1464570*c
What is the second derivative of -2*l**2*m**3 - 21795*l**2 - 19256*l*m**3 + 2*m wrt m?
-12*l**2*m - 115536*l*m
What is the second derivative of -172*g**5 + 6*g**3 - g**2 - 33054*g wrt g?
-3440*g**3 + 36*g - 2
Differentiate 285*d*g + 137*d + 93*g - 122 wrt g.
285*d + 93
Find the first derivative of 7671*b**2 - b - 17149 wrt b.
15342*b - 1
What is the second derivative of b**2*j**3*q + 683*b**2 + 34530*b*j**3 - j + 91*q wrt j?
6*b**2*j*q + 207180*b*j
What is the derivative of -1285856*p**3 + 2511496?
-3857568*p**2
What is the third derivative of 8*o**6 + 19*o**5 - 35*o**3*v - 2*o**2*v + 5*o**2 - v + 3746 wrt o?
960*o**3 + 1140*o**2 - 210*v
What is the derivative of -13687*m*z**3 + 58*m - p**2*z**4 + 24 | {
"pile_set_name": "DM Mathematics"
} |
11 and 33655759.
33656670
27 - 4.03960146168
22.96039853832
What is -1341304330.9 take away -3.341?
-1341304327.559
What is -28013488 + 2053?
-28011435
0.06+35982.16872
35982.22872
What is -1003561683 minus 25474?
-1003587157
What is 96 minus -10475030174?
10475030270
What is -170132959287 less than -0.45?
170132959286.55
What is 38 plus -152613372.3?
-152613334.3
Work out -128.6 - 6397024.
-6397152.6
Subtract -129114884 from 5.
129114889
173.109176+-953664
-953490.890824
Work out 391565366.8 + 74.
391565440.8
-0.1 - -4527.0684516
4526.9684516
Calculate 610838 + 210540349.
211151187
What is 229516.1712446 less than 4.4?
-229511.7712446
-0.065494+-3048224
-3048224.065494
Subtract 10 from 1872132845706.
1872132845696
Add -671 and 7990612201.
7990611530
Put together -204084860 and 1384069.
-202700791
Add together -153045715.874 and 0.11.
-153045715.764
What is -27465957731294 - -0.2?
-27465957731293.8
What is -131 less than 361690137471?
361690137602
Work out 702 + 484243859.
484244561
What is -89687 plus -201799347?
-201889034
What is 121772516132 - -0.3?
121772516132.3
What is -4610 plus 3428599372?
3428594762
Sum 2.7895 and 48880026.
48880028.7895
Calculate 5896782885 - -2.101.
5896782887.101
Calculate -369541296 + -1803.
-369543099
What is -0.5 less than 526.70414480942?
527.20414480942
What is -2410555 - 76324.32?
-2486879.32
119+820186.79414
820305.79414
Work out -0.2 - -29106168867195.2.
29106168867195
What is the distance between 690443603125 and 0.0257?
690443603124.9743
What is -0.05 less than 72778.596827?
72778.646827
Work out 20442 + -0.1340616002.
20441.8659383998
What is 32782782 minus 695472?
32087310
Subtract 61007233435 from 0.225.
-61007233434.775
What is 72307639775674 + -2?
72307639775672
Work out -335868996987 + -1.
-335868996988
What is 20.56 - 2878556770?
-2878556749.44
What is -61.4 less than -60084023436?
-60084023374.6
Subtract 6921962 from 1566.66.
-6920395.34
Calculate -144982151 + -1.43.
-144982152.43
What is 26354048729 plus 0.0974?
26354048729.0974
1293.624+579280.94
580574.564
What is 5054.955 minus 230302?
-225247.045
What is -2.578124944 + -0.4269?
-3.005024944
Subtract -10758 from -3142969.
-3132211
What is the difference between -40790109 and 0.05192?
40790109.05192
What is the difference between -0.06 and -21.860418405719?
21.800418405719
What is the difference between 0.7 and 124.7476044335?
124.0476044335
What is 0.175 minus 11266850.466?
-11266850.291
What is -5357181886 - -414?
-5357181472
338746324+-494234
338252090
What is the distance between -0.28147342 and 18766?
18766.28147342
What is 2636530648.8 less than -4.501?
-2636530653.301
Add together 3 and 14630.36067.
14633.36067
-80927965.137+-137.5
-80928102.637
What is -59866838173 - -0.3?
-59866838172.7
What is the difference between -36370 and -852.076162?
35517.923838
Total of 145104095647 and 2228.
145104097875
Put together 252936758 and -272720.
252664038
What is the distance between -81 and -6.30334039?
74.69665961
Subtract 16427433214 from 0.084.
-16427433213.916
-0.4 - 2508658.262885
-2508658.662885
1.8 - 1168.398854593
-1166.598854593
What is -1.462483 less than -7486956?
-7486954.537517
Put together 0.5 and -0.531670648675.
-0.031670648675
What is the difference between 1318525994013 and 8.1?
1318525994004.9
25.3513 - 9.8840472
15.4672528
Sum 112586.2 and 2458028.2.
2570614.4
What is -40.87 less than 20941.0816?
20981.9516
What is the difference between -0.3427523631 and 33562?
33562.3427523631
Total of -0.054 and 0.2409890577.
0.1869890577
Put together 0.1219709 and -0.721136.
-0.5991651
Add -214793123 and -226586.
-215019709
What is the distance between 660725151.87 and -79.6?
660725231.47
What is 4 + -8843077193606?
-8843077193602
What is -260.433 - 1495539?
-1495799.433
Sum -17307930646371 and -7.
-17307930646378
Add together 101670.134395 and -253.
101417.134395
Put together -16955940.8 and -574850.
-17530790.8
-260147 + 5823693.9
5563546.9
2478185376.551 - -5
2478185381.551
Subtract -39.98752883 from 111.
150.98752883
What is 0.03 minus -21066790710881?
21066790710881.03
Subtract 0.0469 from -345.526563.
-345.573463
Work out -285588805109 + -0.11.
-285588805109.11
What is -17.9 - 14487.67828?
-14505.57828
Total of -412427.88 and -0.016244.
-412427.896244
What is 18621 plus -3593897?
-3575276
What is the difference between -28.052 and 73.7647259?
101.8167259
What is the difference between 38 and -223040783791?
223040783829
What is 1097.668119154 less than -2?
-1099.668119154
2916643943377+-1.1
2916643943375.9
Put together 22249865801.2 and -0.5.
22249865800.7
Sum 3838597934 and 735.
3838598669
0.5 - -64473998758329
64473998758329.5
Work out 6749318 - -5022405.
11771723
Total of 13.745 and 208774940.
208774953.745
Work out -25114506691996 - -0.5.
-25114506691995.5
Subtract 82718927720 from -846.
-82718928566
What is 50.52 + 3820.4187?
3870.9387
Subtract -589331198.257 from -4.
589331194.257
Calculate 3.3135 - 1114368747.
-1114368743.6865
Add together -140709 and 231.663721.
-140477.336279
Total of -54533.460338 and -17892.
-72425.460338
Total of 0.1408056599955 and 441.
441.1408056599955
What is 1796773 + -65395.1?
1731377.9
Put together -128.4341562 and -28491.
-28619.4341562
-87 + -393861414183
-393861414270
What is -1306749079958 minus -0.4?
-1306749079957.6
55260992.165+-1.75
55260990.415
Add together 2003.52 and -1695425.
-1693421.48
Subtract 63611.04 from 23730.
-39881.04
What is -20.6 - -607436473567?
607436473546.4
What is -33772559958 less than 0.2?
33772559958.2
Sum 949816102611508 and -4.
949816102611504
Add 0.5 and -148696566595.
-148696566594.5
What is -12.24983 take away 137.38373?
-149.63356
What is -162.33 take away -1.9024754?
-160.4275246
What is 149753122 - 3.099?
149753118.901
What is 1199131483 + -0.35771?
1199131482.64229
What is 1113 minus -330549706?
330550819
0.176416 - 1406363
-1406362.823584
-36999 + -2.376522219
-37001.376522219
Calculate -32104185138 - 34.
-32104185172
What is -29434359 minus 161955?
-29596314
Work out -1619568.183 + -0.022.
-1619568.205
1288285731.4+-30
1288285701.4
Calculate -6.001611617586 - 10.
-16.001611617586
Sum 18649033412 and -192.
18649033220
Work out -99232561877 + -7.
-99232561884
What is -2.218 take away 2469707591?
-2469707593.218
Work out 5.454 - -0.19424276.
5.64824276
Sum -2799654600 and 9.
-2799654591
Work out -24402486014 - -26.
-24402485988
Subtract -708.657192707 from -167.
541.657192707
What is -660.34 less than -22763.8993?
-22103.5593
Calculate 0.67564 - -771226.
771226.67564
What is 0.3 - 48.644517086?
-48.344517086
Calculate 0.55 + 10015097397289.
10015097397289.55
39564.4 + 374333
413897.4
-0.1+9051821793.046
9051821792.946
What is 0.032851 take away 62350.902?
-62350.869149
What is -1719 plus -6593425465?
-6593427184
What is the difference between -7776 and 6459637073?
6459644849
What is -153805734532 minus -0.42?
-153805734531.58
What is -1521.40307 less than -3268092?
-3266570.59693
578343 + -242.152
578100.848
Work out 0.0427 + 20802985.
20802985.0427
Work out 0.1 + -3740408339655.62.
-3740408339655.52
What is -4 - -49624814974554?
49624814974550
-16743653897064 - 4
-16743653897068
Sum -5.6 and -16449914091.
-16449914096.6
Calculate -304.585520633 - -1.
-303.585520633
Add -769225 and 795.031.
-768429.969
Add 3754958 and -0.05910451.
3754957.94089549
Put together -3202 and -214629087.
-214632289
What is the distance between 142.0981 and -49.49?
191.5881
What is -35674.8278 minus 15.2?
-35690.0278
Add together -32530899482 and -81.
-32530899563
What is 0.24 minus 5199264090253?
-5199264090252.76
Work out 0.005 - 45618676.32.
-45618676.315
What is the distance between -571552.121427 and 0.5?
571552.621427
-2.467 - 15.79602707
-18.26302707
What is -70279527 plus 717983?
-69561544
Add together -0.01122 and -3639.9781709.
-3639.9893909
Work out 48942022590369 - -0.4.
48942022590369.4
Work out -283.96680838 + -0.425.
-284.39180838
What is -7094842381985 minus -1?
-7094842381984
-210 + -259610152641
-259610152851
Work out 959452351992 + -28.
959452351964
Subtract 2.53297 from 0.120403.
-2.412567
152783869218.8 - -0.1
152783869218.9
Sum 35.730276 and 1514.
1549.730276
Add together -1614795848 and -394.
-1614796242
Total of 9 and 5570727414.
5570727423
Put together -8 | {
"pile_set_name": "DM Mathematics"
} |
pect to r.
864*n**3*r**3 - 4*n**3*r
Find the third derivative of 30*h**4*v**2 - 5*h**3*v + 10*h**2*v + 2*h**2 + 5*h*v**2 wrt h.
720*h*v**2 - 30*v
Find the second derivative of 29*j**4 + 42*j**3 + j**2 - 87*j - 20 wrt j.
348*j**2 + 252*j + 2
What is the second derivative of 129*u**4 + 3*u**3 - 70*u?
1548*u**2 + 18*u
Differentiate -2*n**4 - 354*n + 31 wrt n.
-8*n**3 - 354
What is the second derivative of 385*c**2*q**4 - 6*c**2*q**2 - 2*c**2*q - 2*c*q**2 + 8*c*q + 5*c wrt q?
4620*c**2*q**2 - 12*c**2 - 4*c
What is the third derivative of 2*o**2*q**3 - o**2*q**2 + 221*o*q**3 + 63*q**2 wrt q?
12*o**2 + 1326*o
Find the third derivative of -11*a**3*h*o*w - a**3*h*w + 4*a**3*o**2 + 36*a**2*o + 11*a*o**2 + 3*a*o*w - 2*a*w + 2*h*o**2*w - h wrt a.
-66*h*o*w - 6*h*w + 24*o**2
What is the second derivative of -2163*b**4 - 1350*b - 1?
-25956*b**2
What is the third derivative of 1256*g**6 + g**3 + g**2 + 9325*g?
150720*g**3 + 6
Find the third derivative of -2*z**6 + 13*z**3 - 52*z**2.
-240*z**3 + 78
Find the third derivative of p**4*q*t - p**3*q*t + 641*p**3 - 4*p**2*q*t - 21*p*q*t - 2*t wrt p.
24*p*q*t - 6*q*t + 3846
What is the first derivative of -315*g**3 - 142 wrt g?
-945*g**2
Differentiate -11*g**4*s**2 + 552*g**4 + 5*s**2 + 2*s + 451 wrt g.
-44*g**3*s**2 + 2208*g**3
What is the third derivative of 967*s**3 - 935*s**2?
5802
What is the second derivative of 4936*c**5 - 4650*c?
98720*c**3
Find the third derivative of v**5 - 6*v**4 + 77*v**3 + 123*v**2 - 5*v - 9.
60*v**2 - 144*v + 462
What is the second derivative of -6*a**3*d**3 + 4*a**3*d - 4*a**3 + 140*a*d**3 - 2*a*d**2 wrt a?
-36*a*d**3 + 24*a*d - 24*a
Find the third derivative of 3526*j**4 - j**3 + 3342*j**2.
84624*j - 6
What is the second derivative of 837*u**4 + 28*u + 54?
10044*u**2
Find the third derivative of -3*j**2*q**3 - 4*j**2*q**2 + 7*j**2*q + 166*j*q**3 + j*q**2 + 2 wrt q.
-18*j**2 + 996*j
Find the first derivative of 12630*v - 10485 wrt v.
12630
Find the second derivative of 1165*k**3 + 366*k wrt k.
6990*k
What is the second derivative of -2*c**2*k**3 + c**2*k**2 + 227*c**2*k - k**3 wrt k?
-12*c**2*k + 2*c**2 - 6*k
What is the second derivative of -3308*m**2*n**3*x**2 - 7*m*n**3*x**2 - 2*m*n**3 + 17*m*n*x**2 wrt m?
-6616*n**3*x**2
Find the third derivative of -2*b**5 + 4*b**3 - 678*b**2 wrt b.
-120*b**2 + 24
Find the third derivative of -2*d**2*u**4 + 4*d**2*u**2 - 7*d*u**2 - 13*u**5 + 6*u**3 + 2 wrt u.
-48*d**2*u - 780*u**2 + 36
What is the first derivative of 12*g*s**3 - 2*g*s**2*u + 2*g + s**3*u + 250*s*u wrt u?
-2*g*s**2 + s**3 + 250*s
What is the second derivative of -p**2*s**3*u**2 - 412*p**2*s**2*u**3 + 133*p**2*u**3 + 2*p*s*u**3 wrt s?
-6*p**2*s*u**2 - 824*p**2*u**3
What is the second derivative of 2*q**3 + 153*q**2 - 4323*q wrt q?
12*q + 306
Find the third derivative of -86*r**4 - 33*r**2 - 1.
-2064*r
What is the third derivative of 5*j**4 - 57*j**3 - 38*j**2 - 3?
120*j - 342
Find the first derivative of -1016*o*z - 1264*z wrt o.
-1016*z
Find the second derivative of 11*h**3*s**3 + h**3*s + 9*s**5 + 29*s wrt s.
66*h**3*s + 180*s**3
What is the second derivative of -69*c**2 - 346*c wrt c?
-138
Find the second derivative of -f**2*p*s + 1627*f**2*s + 15*f*p*s + 2*f*s - 3*p*s - 4 wrt f.
-2*p*s + 3254*s
What is the third derivative of -361*d**3*g**2 + 223*d**2*g**2 - d**2*g wrt d?
-2166*g**2
Find the third derivative of -988*n**3 + 534*n**2 wrt n.
-5928
Differentiate 8*h**2*t - 33*h**2 - 5*h*t - h wrt t.
8*h**2 - 5*h
What is the second derivative of 17*j**4 - 6*j**3 + j + 34 wrt j?
204*j**2 - 36*j
What is the second derivative of 5091*b**3*v**2 + 19608*b**3*v wrt v?
10182*b**3
Find the second derivative of 9*x**5 - 96*x**4 + 644*x wrt x.
180*x**3 - 1152*x**2
What is the second derivative of 41*b*t**4 + b*t**2 + 13*b - 17*t**5 + 6*t wrt t?
492*b*t**2 + 2*b - 340*t**3
What is the third derivative of -f**2*h**5 + 16*f**2*h**4 - 222*f**2*h**2 + h**3 wrt h?
-60*f**2*h**2 + 384*f**2*h + 6
Find the third derivative of d**3*w**3 - 13*d**3 + 13*d**2*w**2 - 510*d*w**3 - d*w**2 wrt w.
6*d**3 - 3060*d
Find the second derivative of 5*c**3*n**2 - 10*c**2*n**2 + 2*c*n**2 - c*n - 2*c wrt c.
30*c*n**2 - 20*n**2
What is the derivative of 177*h*l**4*q - 4*h*l**4 + 727*h*q wrt l?
708*h*l**3*q - 16*h*l**3
Differentiate -5*j**2*w**2 - j**2*w - 12*j*w**2 - 2*w**2 wrt j.
-10*j*w**2 - 2*j*w - 12*w**2
What is the second derivative of 96*h**2*p - 3*h**2 + h + 233*p - 2 wrt h?
192*p - 6
What is the third derivative of -o**3*r**3 - 9*o**3 + o**2*r - 58*o*r**4 + r**4 + r**2 wrt r?
-6*o**3 - 1392*o*r + 24*r
Find the second derivative of -4415*o**5 - 2*o + 794 wrt o.
-88300*o**3
Find the second derivative of -725*v**4 + 6*v**3 - 3028*v.
-8700*v**2 + 36*v
Find the third derivative of -78*l**4 + 27*l**2 - 10*l wrt l.
-1872*l
What is the second derivative of 167*m**2*y**2 - 2*m**2*y + m**2 - 2*m*y**5 - 38*y wrt y?
334*m**2 - 40*m*y**3
What is the first derivative of 1532*k**2 - 129 wrt k?
3064*k
What is the second derivative of -1203*p**3*t**4 + 2*p**3*t - 106*p**2*t - 3*p*t**5 + 3*p*t - 3*p wrt t?
-14436*p**3*t**2 - 60*p*t**3
What is the third derivative of 1463*l**5 - 991*l**2 wrt l?
87780*l**2
What is the second derivative of -617*d*g*j**2 + 6*d*g*j - g*j**2 - 3*g + 8*j wrt j?
-1234*d*g - 2*g
What is the second derivative of -7*a**2*w*x**2 + 49*a**2*w + a*w + 2*a*x - 8*w*x**2 + x**2 - 4 wrt x?
-14*a**2*w - 16*w + 2
What is the third derivative of 15*h*t**5 - 31*h*t**3 + 2216*h*t**2 wrt t?
900*h*t**2 - 186*h
What is the first derivative of -2*n*w**3 + 13*n*w**2 + 13*n - 5*w - 10 wrt w?
-6*n*w**2 + 26*n*w - 5
What is the second derivative of -22127*u**2 + 12*u - 137 wrt u?
-44254
What is the second derivative of -654*t**2*v**2 - 2*t*v**2 - 2*t - 29*v**2 wrt t?
-1308*v**2
Find the third derivative of 1626*d**2*f**3*g**3 + 8*d**2*f**3*g + 3*d**2*g**3 + 7*d**2*g**2 - 2*d*f*g**2 wrt g.
9756*d**2*f**3 + 18*d**2
Find the second derivative of -4489*b**4 + 7595*b.
-53868*b**2
What is the third derivative of 16*l**6*q**2 + 4*l**5*q**2 - 27*l**2 + 3*q**2 wrt l?
1920*l**3*q**2 + 240*l**2*q**2
What is the first derivative of 2002*l**3 + 1011 wrt l?
6006*l**2
What is the third derivative of -1879*n**6*z**3 - n**2*z + 728*z**3 wrt n?
-225480*n**3*z**3
Differentiate 269*m**2*t + 435*m**2 with respect to t.
269*m**2
What is the third derivative of 203*j**6 - 11*j**4 - j**2 - 7*j - 274?
24360*j**3 - 264*j
What is the second derivative of -2015*l**3 + 156*l - 1?
-12090*l
Find the second derivative of 8*b**5 + 2*b**2 + 438*b - 4 wrt b.
160*b**3 + 4
What is the second derivative of 4*g*k + 2*g*q**2 - 2*g*q - 38*k*q**2 + 3*k*q + q**2 + 2*q wrt q?
4*g - 76*k + 2
Find the second derivative of -16456*n**5 - 1330*n - 1.
-329120*n**3
Differentiate 13*b**2*j**2*t - 12*b**2*j**2 - b**2*n**3 - b**2*t + b*j**2*n**2 - 2*b*n**3*t wrt t.
13*b**2*j**2 - b**2 - 2*b*n**3
Differentiate 63*b*o*x**2 + 2*b*o - 2*b*x + b - 2*o*x**2 - 55*o - x**2 - 1 with respect to x.
126*b*o*x - 2*b - 4*o*x - 2*x
What is the derivative of -55*u**2 + 4*u + 508?
-110*u + 4
Find the second derivative of -31*l**5*y - l**2*y**2 - 2*l**2 + l - 203*y**2 wrt l.
-620*l**3*y - 2*y**2 - 4
Find the second derivative of 50*x**5 - 12*x**3 - 1500*x.
1000*x**3 - 72*x
Find the first derivative of 7320*t**2 + 6277 wrt t.
14640*t
Find the third derivative of 260*u**5 + 2*u**3 + 585*u**2.
15600*u**2 + 12
Find the first derivative of -25901*o*q + 17738*q wrt o.
-25901*q
What is the second derivative of 7*n**2*s**2 + 3*n**2*s - n**2 - 3*n*s - 604*s**3 + 13 wrt s?
14*n**2 - 3624*s
What is the first derivative of -2275*g**2*v**2 - 1716*v**2 wrt g?
-4550*g*v**2
What is the second derivative of 6*a*o**2 + 261*a*o - 2*a*r**2 - o**3*r**2 - 30*o**3 - r**2 wrt o?
12*a - 6*o*r**2 - 180*o
Find the third derivative of -32*q**5 + 2*q**4 - 84*q**2.
-1920*q**2 + 48*q
Find the third derivative of -d*w**4 - 9*d*w**3 - 2*d + w**4 + 8*w**3 + 1328*w**2 wrt w.
-24*d*w - 54*d + 24*w + 48
What is the derivative of 1432*g**2 - 1002 wrt g?
2864*g
What is the derivative of -12*j**3*s**2 - 2*j**3*s + 157*j**3 + 3*j**2*s wrt s?
-24*j**3*s - 2*j**3 + 3*j**2
What is the derivative of -8*i**3 - 139*i**2 - 2*i + 15038 wrt i?
-24*i**2 - 278*i - 2
Find the first derivative of 1190*l**4*p - 4*l**3*p**2 + 351*p**2 - p wrt l.
| {
"pile_set_name": "DM Mathematics"
} |
d(m) be the first derivative of -m**2 + 4406. Determine d(q(j)).
-32*j + 2
Let k(h) = -1480*h. Let s(g) be the third derivative of g**5/60 + 3021*g**2. What is k(s(u))?
-1480*u**2
Let f(l) = -5*l. Let q(u) = 680*u**2 + 193*u - 10. Give q(f(t)).
17000*t**2 - 965*t - 10
Let v(c) = c**2. Suppose 3*a - 15 = f, -2*a + 2*f - 5 = -19. Let g(n) = n**3 + n**2 - 2*n - 4. Let x be g(2). Let d(b) = 3*b + a*b - b + x*b. Determine d(v(p)).
10*p**2
Let x(c) = -2*c. Let o(p) = 2*p. Let z(y) = -4*o(y) - 5*x(y). Let a(l) = 7372*l**2 - 3681*l**2 - 3674*l**2. Determine z(a(v)).
34*v**2
Let p(o) = -12*o - 11*o - 2 - 7*o. Let i(q) = -913491 + 913491 + q. Give i(p(v)).
-30*v - 2
Let g(p) be the first derivative of 13*p**3/3 + 1. Let i(r) be the first derivative of 1/2*r**2 + 0*r - 3. Determine i(g(c)).
13*c**2
Let x(w) = -w + 7713. Let i(h) = 36*h - 4. Calculate i(x(f)).
-36*f + 277664
Let r = 10 + 1. Let c(m) be the first derivative of -16 - 13 + 50 - r*m**2. Let s(t) = t**2. Give s(c(u)).
484*u**2
Let k(s) = 7*s. Let t = -227 + 413. Let o(n) = t*n**2 - 97*n**2 - 92*n**2. Give k(o(f)).
-21*f**2
Let a(j) = -10*j**2 + 28*j**2 + 26 - 9 - 17. Let n(f) = 5*f + 3. What is n(a(s))?
90*s**2 + 3
Let w(p) = 450*p**2. Let f(a) = 7*a. Let g(r) = -13*r. Let q(s) = -2*s - 34. Let z be q(-14). Let c(t) = z*g(t) - 11*f(t). Give c(w(l)).
450*l**2
Let o(w) = 14*w**2. Let v be (-170)/(-15) - (-3)/(-9). Suppose 0*m + 11 = v*m. Let z(s) = s. Let l(d) = 5*d. Let i(j) = m*l(j) - 4*z(j). Determine o(i(f)).
14*f**2
Let r(d) = -354*d + 136*d + 82*d + 130*d. Let n(j) = 25*j**2 + 5. Determine r(n(z)).
-150*z**2 - 30
Let s(j) = -49*j**2. Let m(u) = -21335 + 21344 + 6*u - 5*u. Give m(s(v)).
-49*v**2 + 9
Let r(m) = -4217*m. Let z(j) = 2*j**2 + 3*j + 244. Give z(r(g)).
35566178*g**2 - 12651*g + 244
Let z(w) = 13*w. Let d(s) be the second derivative of -77*s**4/12 + 16*s + 16. What is z(d(m))?
-1001*m**2
Let y(z) = -1623*z**2 - 414*z. Let h(p) = -24*p**2. Determine y(h(f)).
-934848*f**4 + 9936*f**2
Suppose -o + 60 = 58. Let j(w) = o*w + 0*w + w - 2*w. Let k(a) = -45*a + 9. Let f(r) = -11*r + 2. Let n(b) = 9*f(b) - 2*k(b). Calculate j(n(p)).
-9*p
Let u(n) be the second derivative of -4*n**3/3 - 7*n + 3. Let o(v) = 2*v + 4. Let d be o(-2). Let h(m) = d*m + 3*m - m - 6*m. Determine u(h(a)).
32*a
Let h(v) be the first derivative of v**2 + 1. Let j(m) be the second derivative of 89*m**4/4 - 1038*m. What is j(h(o))?
1068*o**2
Let s(d) = 17*d. Let f(l) = -6*l**2 + 286*l - 27. Let i(k) = -5*k**2 + 260*k - 26. Let m(h) = 10*f(h) - 11*i(h). Calculate s(m(n)).
-85*n**2 + 272
Let t(y) = y**2. Let h(z) = -7099412*z**2 - 18*z. What is h(t(j))?
-7099412*j**4 - 18*j**2
Let k(d) = -2*d**2. Suppose -6433*u = -6440*u. Let h(q) be the second derivative of -17*q + u*q**2 + 0 + 0*q**3 - 1/3*q**4. Calculate k(h(b)).
-32*b**4
Let i(m) = 4*m. Let p(r) = r + 56. Let y be p(25). Suppose -a - 4*a - 4*v + 78 = 0, 5*a - y = -3*v. Let t(h) = -11*h + 20*h - 12*h - a*h. Give i(t(n)).
-84*n
Let o(z) be the second derivative of -z**4/4 + 2*z. Suppose 0 = 5*v - 5*q - 25, -2*v + 5*q + 22 = 3. Let c(u) = -141*u**v + 0*u + 139*u**2 + 0*u. Give c(o(w)).
-18*w**4
Let y(f) = -17018490*f**2. Let o(h) = -6*h**2. Calculate y(o(l)).
-612665640*l**4
Let u(a) = a**2 + 50. Let m(f) = -20481*f**2 - 1 + 20475*f**2 + 1. Determine u(m(d)).
36*d**4 + 50
Let r(t) = -3*t**2. Let y(z) = 49983845*z. Determine r(y(k)).
-7495154282952075*k**2
Let m(c) = -53*c + 60. Let n(o) = -264*o + 288. Let q(l) = 24*m(l) - 5*n(l). Let w(b) = -35*b**2. Determine w(q(g)).
-80640*g**2
Let f(r) = 9*r - 8*r + r. Let l(o) = -2 - 15 + 16 + 95*o**2. Give f(l(p)).
190*p**2 - 2
Let m(y) = 2956 - y**2 + 2955 - 8873 + 2962. Let q(z) = 12*z + 34. Give m(q(o)).
-144*o**2 - 816*o - 1156
Let b(d) = -17*d**2. Let k(u) = 5*u**2 + 18*u**2 + 10*u**2 + 35*u - 35*u. Calculate k(b(p)).
9537*p**4
Let x(v) = -447*v - 24. Let w be x(12). Let n be (4/5)/(7 + w/770). Let t(g) = 308 + g - n. Let b(z) = 6*z**2. Determine b(t(s)).
6*s**2
Let i = -21 + 21. Suppose i = -3*m + 3*g, 4*m - 8 = -m + g. Let s(q) = 47*q**2 - 8*q**2 - m*q**2 - 18*q**2. Let r(v) = -v**2. What is r(s(z))?
-361*z**4
Let m(g) = -g + 69. Let i(l) = -154*l**2 + 3*l + 9. Let t(k) = -145*k**2 + 2*k + 6. Let v(x) = 2*i(x) - 3*t(x). Give v(m(y)).
127*y**2 - 17526*y + 604647
Let w(n) = -4*n**2. Let q(r) = -r + 2. Let x be q(0). Suppose 0 = -282*c + 104 + 1024. Let t(d) = c*d**x - 11*d**2 - 5*d**2. What is t(w(i))?
-192*i**4
Let j(w) = -91*w - 5. Let o(q) = -q**2 + 9*q - 12. Let i(v) = 4*v**2 - 39*v + 52. Let r(h) = -6*i(h) - 26*o(h). Determine r(j(f)).
16562*f**2 + 1820*f + 50
Let x = -639 + 637. Let y(u) = 3. Let q(a) = -36*a + 3. Let v(p) = x*y(p) + 2*q(p). Let c(t) = -2*t. What is v(c(w))?
144*w
Let t(d) = 47*d**2. Let x(k) = -2267*k**2 + k + 3. Calculate x(t(r)).
-5007803*r**4 + 47*r**2 + 3
Let y(j) be the first derivative of j**2/2 + 4938. Let d(o) = 3091*o. What is d(y(v))?
3091*v
Let j(x) = -2*x - 6582. Let s(p) = 3049*p. Calculate s(j(o)).
-6098*o - 20068518
Let r(v) = -27*v. Let o = -404 - -409. Let k(h) = o*h**2 + 7*h**2 + 9*h**2 - 22*h**2. Calculate k(r(w)).
-729*w**2
Let n(z) = -6*z. Let c(f) = 41*f. Let m(a) = -312*a - 16. Let v(g) = 8*c(g) + m(g). Determine v(n(i)).
-96*i - 16
Let n be (-24)/(-2) - (457 + -449). Let z(a) be the third derivative of 0*a + 0*a**3 + 0 - 2/15*a**5 + 0*a**n - 7*a**2. Let r(k) = k. Give r(z(p)).
-8*p**2
Let c(o) = -o**2. Let w(y) be the third derivative of y**5/60 - 43*y**3/3 + 358*y**2. Determine c(w(q)).
-q**4 + 172*q**2 - 7396
Let f(z) be the second derivative of z**3/3 - 3*z. Let d be (195/39)/(1/((-1)/1)). Let t(m) = 76*m. Let x(j) = -39*j. Let g(y) = d*x(y) - 3*t(y). Give f(g(r)).
-66*r
Let o(s) = 2*s. Let m(p) = -28*p**2 + 22*p - 4969. What is o(m(g))?
-56*g**2 + 44*g - 9938
Let b(k) = -14*k**2. Let a(n) = 14*n + 5. Let j be a(3). Let t(f) = -32*f - 19*f + j*f. Give t(b(i)).
56*i**2
Let h(w) = 31*w**2 - 43*w. Let j(v) = 14*v**2 - 18*v. Let l(t) = 2*h(t) - 5*j(t). Let i(d) = -2*d + 4. Determine l(i(y)).
-32*y**2 + 120*y - 112
Let j(i) = i**2 + 0*i**2 - 4*i**2 - 3*i**2. Suppose 269 = -4*p - 3*g + 1472, 0 = -3*p - 2*g + 901. Let n(b) = -580*b + 289*b + p*b. Calculate n(j(t)).
-36*t**2
Let s(n) = -28338*n. Let x(c) = 1614*c + 1633*c - 3249*c. What is x(s(l))?
56676*l
Let n(z) = -3*z. Let f(q) = -3*q. Let k(m) = 7*f(m) - 6*n(m). Let a(x) be the third derivative of x**4/24 - 19*x**2 - 9*x. What is a(k(p))?
-3*p
Let m(y) = -y + 13. Let l(j) = -2994*j**2 + 5 - 3 + 2983*j**2 - 2. Give m(l(h)).
11*h**2 + 13
Let k(b) = -339*b**2. Let i(z) = 10753*z. Give i(k(u)).
-3645267*u**2
Let v(r) = -728*r**2. Let w(l) = -124 + 154 + 2*l**2 - 30. What is v(w(g))?
-2912*g**4
Let i(z) = 2*z. Let d be (1005/(-134))/(2/(-4)). Let k = -22 - -41. Let g(x) = -d*x**2 - 10*x - 9*x + k*x. Calculate i(g(a)).
-30*a**2
Let n be (0 - 403/(-9)) + 4/18. Suppose -b = -12 - n. Let m(t) = 113*t - 33*t - b*t. Let l(a) = -3*a. Give l(m(h)).
-69*h
Let l(r) be the second derivative of 2*r**4 - 1401*r. Let s(g) = -49*g - 44*g + 92*g. Determine s(l(j)).
-24*j**2
Let g(s) = -208*s**2 - 320*s - 64. Let q(y) = -16*y**2 - 25*y - 5. Let f(w) = 5*g(w) - 64*q(w). Let n(k) = -179*k**2. Give f(n(m)).
-512656*m**4
Let j(l) = 24874374*l. Let p(i) = 14*i**2. Give j(p(r)).
348241236*r**2
Let j = -33 + 68. Let n = j + -13. Let k(h) = -11*h - 13*h + n*h. Let c(u) = 15*u**2. Calculate k(c(v)).
-30*v**2
Let w(s) = -2*s**2. Let t(y) = 6*y - 85397 - 409*y + 85397. Determine t(w(g)).
806*g**2
Let y(l) = -338*l. Let d(b) be the second derivative of b**4/6 + 14*b + 32. What is d(y(f))?
228488*f**2
Suppose 10 = -5*f + b - 5, -5*f + 2*b - 10 = 0. Let x(c) = 5*c + 12. Let i(s) = -4*s - 9. Let l(t) = f*i(t) - 3*x(t). Let h(o) = -9*o - 2. Determine h(l(r)).
-9*r - 2
Let u(n) be the first derivative of 104*n**3/3 - 2559. Let d(q) = 5*q. Calculate u(d(v)).
2600*v**2
Let i(t) = -t + 1. Let a(f) = -136*f - 141*f - 1 + 415*f - 140*f. Let g(k) = 3*a(k) + 3*i(k). Let x(c) = 20*c**2. Determine x(g(m)).
1620*m**2
Let x(i) = -3*i. Let z = 303/34 + -24/17. Let c(h) be the first derivative of -11 + 0*h - z*h**2. Calculate c(x(t)).
45*t
Let d(v) = v**2 + v - 2. Let z(s) = 14*s - 18*s + 8 - s**2 - s**2. Let h(x) = 4*d(x) + z(x). Let m(y) = y - 71. Determine m(h(g)).
2*g* | {
"pile_set_name": "DM Mathematics"
} |
84/45
Calculate 266240 divided by -8.
-33280
Divide -3 by 58788.
-1/19596
Calculate 405 divided by 548.
405/548
Calculate -605360 divided by 920.
-658
Divide 1 by 43596.
1/43596
What is 24024 divided by 546?
44
Calculate -134622 divided by 7.
-134622/7
-215568 divided by 998
-216
Calculate -47760 divided by -597.
80
-191056 divided by -8
23882
Calculate 884997 divided by 3.
294999
What is -42004 divided by -15?
42004/15
Divide -574914 by -191638.
3
Divide -1584 by 36.
-44
Divide 10625 by -25.
-425
4038 divided by 90
673/15
211835 divided by 13
16295
Calculate -56704 divided by -886.
64
What is -4939 divided by -1?
4939
Calculate 19 divided by 1586.
19/1586
Calculate 7348 divided by -334.
-22
-3780192 divided by 1352
-2796
What is 7556 divided by -38?
-3778/19
51732 divided by 2
25866
What is 119667 divided by -119667?
-1
Divide 73287 by -153.
-479
Calculate -82728 divided by 383.
-216
Divide 12760 by 2552.
5
6182 divided by 6182
1
Calculate -298038 divided by -99346.
3
76560 divided by 528
145
Calculate 1506 divided by 15.
502/5
What is -398687 divided by 9?
-398687/9
Calculate 71076 divided by 5923.
12
-478456 divided by -22
21748
Calculate 2 divided by -11151.
-2/11151
10 divided by -107762
-5/53881
Divide 3 by 9748.
3/9748
What is -756420 divided by -10?
75642
2788060 divided by 58
48070
-562604 divided by 1132
-497
Divide -46 by 346.
-23/173
18319 divided by -2617
-7
Calculate 72 divided by -660.
-6/55
What is -245754 divided by -2997?
82
What is 154308 divided by 2?
77154
Calculate 22 divided by 6567.
2/597
What is -68359 divided by -7?
68359/7
What is 5 divided by 70683?
5/70683
What is 3434 divided by -39?
-3434/39
Divide 3938176 by 6.
1969088/3
What is 25 divided by 2348?
25/2348
What is 3685 divided by 1?
3685
Calculate 42642 divided by 2369.
18
-20835 divided by -2315
9
Calculate -4 divided by -3442.
2/1721
Divide 158350 by -158350.
-1
What is -4344 divided by -724?
6
Calculate 30827 divided by -23.
-30827/23
What is 3 divided by 168423?
1/56141
4 divided by 63266
2/31633
Divide -3 by 8856.
-1/2952
Divide -4 by -23938.
2/11969
Divide 4581 by -3.
-1527
Divide -35917 by -5131.
7
Divide -762765 by 5.
-152553
Calculate 5 divided by -98329.
-5/98329
Calculate 53618 divided by -19.
-2822
-709 divided by -386
709/386
Divide 56336 by -16.
-3521
Divide 2843 by 15.
2843/15
What is 74960 divided by 74960?
1
371778 divided by 61963
6
Calculate 3 divided by 5446.
3/5446
Calculate -276605 divided by 2.
-276605/2
Divide -22 by 4709.
-22/4709
-89488 divided by -752
119
136356 divided by 33
4132
Divide 5 by -13444.
-5/13444
112 divided by -55
-112/55
What is 23356 divided by 2?
11678
Divide 3 by 914862.
1/304954
Calculate 5175900 divided by 31950.
162
0 divided by -1825
0
Divide -101242 by -454.
223
What is 2710 divided by -220?
-271/22
Divide 7 by 118025.
7/118025
What is 12 divided by -37976?
-3/9494
Calculate -19073 divided by 2.
-19073/2
-247095 divided by 82365
-3
-37728 divided by 12576
-3
84193 divided by -8
-84193/8
1 divided by 6351
1/6351
-21358 divided by -3
21358/3
Divide -3 by 107491.
-3/107491
35695 divided by -7
-35695/7
32 divided by 66603
32/66603
4294 divided by -98
-2147/49
What is -218 divided by -1359?
218/1359
Calculate -878 divided by -150.
439/75
What is -241059 divided by -6181?
39
Divide 28678 by -5.
-28678/5
What is 625833 divided by 16047?
39
Divide 663828 by -3531.
-188
181320 divided by 4533
40
Divide 291917 by 291917.
1
Calculate -27104 divided by 6776.
-4
What is 2337 divided by -4?
-2337/4
Calculate -56512 divided by 64.
-883
Calculate 92640 divided by 6.
15440
-362 divided by -11
362/11
Divide 0 by 11338.
0
Divide -488 by 153.
-488/153
Calculate 95 divided by 472.
95/472
What is -132086 divided by -626?
211
-80446 divided by -146
551
Divide 57789 by -3.
-19263
Divide -248604 by 2.
-124302
Divide 586824 by -48902.
-12
What is -12 divided by 128067?
-4/42689
Calculate 13 divided by 273195.
1/21015
What is -627030 divided by -125406?
5
Divide -324856 by 2.
-162428
Calculate -2 divided by 169774.
-1/84887
7 divided by 3269
1/467
Calculate -78165 divided by -15633.
5
Calculate -2508 divided by -28.
627/7
Divide 474275 by -311.
-1525
What is -10 divided by -108?
5/54
What is 1574244 divided by 224892?
7
3117 divided by 66
1039/22
Divide 208658 by -12274.
-17
-16836 divided by -8418
2
Calculate -496752 divided by 3144.
-158
10013 divided by 26
10013/26
32157 divided by 2
32157/2
Divide 21114 by 207.
102
What is 68922 divided by 126?
547
Divide 4032 by 1.
4032
Divide 235692 by -3.
-78564
391 divided by 1234
391/1234
Calculate 2838 divided by 2.
1419
Calculate 28 divided by 22986.
14/11493
Calculate -9519 divided by 5.
-9519/5
Divide 122932 by 2.
61466
5 divided by -216736
-5/216736
What is 3733940 divided by 5?
746788
Calculate -50316 divided by 32.
-12579/8
Calculate 14006 divided by 64.
7003/32
What is 31390 divided by -6278?
-5
Calculate -298089 divided by 6.
-99363/2
What is 324876 divided by 54146?
6
Divide 33431 by -101.
-331
0 divided by 13657
0
Divide 266220 by -17748.
-15
Calculate -4343081 divided by -6.
4343081/6
Calculate 404320 divided by -133.
-3040
-484909 divided by 1
-484909
What is 1554172 divided by -4?
-388543
Divide 4 by 550757.
4/550757
-4384 divided by -3
4384/3
Divide -10092 by -18.
1682/3
Calculate 87080 divided by -1.
-87080
-478214 divided by -22
21737
What is -1476090 divided by 45?
-32802
What is 2419708 divided by 1?
2419708
17438 divided by -8
-8719/4
What is 43475 divided by 235?
185
What is 114943 divided by -3?
-114943/3
Divide -11243 by 38.
-11243/38
Calculate 301749 divided by 14369.
21
-10 divided by 316
-5/158
Calculate 6 divided by 1830.
1/305
What is 5 divided by 28748?
5/28748
What is 292400 divided by 136?
2150
What is 4430720 divided by 5?
886144
18 divided by 23517
2/2613
-1722 divided by 2
-861
Calculate -3 divided by -57966.
1/19322
What is -115472 divided by 1031?
-112
177804 divided by -2694
-66
70782 divided by -282
-251
Divide -428571 by 481.
-891
Calculate -65 divided by -19.
65/19
Calculate 1227663 divided by -27.
-45469
What is -1189884 divided by -4?
297471
Calculate 209668 divided by 52417.
4
What is 21 divided by 1859?
21/1859
Divide -1 by -331323.
1/331323
-3 divided by 24181
-3/24181
What is -9504 divided by 864?
-11
Calculate -1227717 divided by -1977.
621
Calculate -4492 divided by 898.
-2246/449
Divide -645 by 645.
-1
Calculate -434 divided by 46.
-217/23
Divide -46238 by 122.
-379
Divide 289570 by -5.
-57914
What is -467480 divided by 1?
-467480
What is 163250 divided by 10?
16325
Calculate -1031564 divided by -2.
515782
Divide -1116 by -12.
93
Divide -36984 by -6164.
6
What is 5 divided by 491626?
5/491626
What is -51564 divided by 6?
-8594
What is 19568612 divided by -4?
-4892153
478260 divided by -2
-239130
Calculate 356 divided by 6009.
356/6009
Divide -20 by 2952.
-5/738
Calculate 54 divided by 4025.
54/4025
Divide 1051367 by 1051367.
1
What is 6 divided by 224127?
2/74709
What is 12813 divided by -4271?
-3
Divide 10037208 by 6.
1672868
Calculate 689122 divided by -14.
-49223
741528 divided by -82392
-9
Divide 244294 by -6.
-122147/3
9474 divided by 6
1579
Calculate 26685 divided by -5337.
-5
Calculate -725195 divided by 5.
-145039
6298 divided by -13
-6298/13
Calculate -292996 divided by 4.
-73249
-170 divided by 42
-85/21
Calculate -2132095 divided by -3.
2132095/3
-33 divided by -661
33/661
What is 6952 divided by -316?
-22
-295386 divided by -6
49231
What is 894888 divided by 111861?
8
Divide 3 by 561231.
1/187077
-89 divided by 2823
-89/2823
7 divided by -3381
-1/483
What is -582 divided by 435?
-194/145
-118 divided by 1194
-59/597
Divide 5329 by 91.
5329/91
Divide 60157 by 5.
60157/5
Divide -114960 by -1916.
60
Calculate 2 divided by -49988.
-1/24994
-279965 divided by -95
2947
Calculate -81840 divided by -120.
682
668720 divided by -133744
-5
Divide 365430 by -121810.
-3
-93 divided by -6130
93/6130
What is -439550 divided by -7450?
59
What is -805080 divided by 13418?
-60
What is -1626599 divided by 5?
-1626599/5
Calculate -244456 divided by 2.
-122228
What is 161802 divided by 8989?
18
Calculate -131100 divided by 92.
-1425
-1046412 divided by 5
-1046412/5
Calculate -76141 divided by -5857.
13
-42840 divided by -18
2380
What is -225248 divided | {
"pile_set_name": "DM Mathematics"
} |
t -3990*v**3 + 99741*v**2/5 - 15951*v - 36/5 = 0.
-3/6650, 1, 4
What is x in -5*x**5 + 1655*x**4 - 127715*x**3 - 129375*x**2 = 0?
-1, 0, 125, 207
Suppose -2*n**3 + 3894*n**2 - 1928070*n + 31661650 = 0. Calculate n.
17, 965
Suppose 4*j**2 - 66120*j = 0. What is j?
0, 16530
Determine m, given that m**4/4 + m**3 - 13*m**2 - 28*m + 96 = 0.
-8, -4, 2, 6
Determine m, given that m**3 + 7976*m**2 + 15912117*m + 31792338 = 0.
-3987, -2
Factor -36*h**3 + 3448*h**2 - 2652*h - 760.
-4*(h - 95)*(h - 1)*(9*h + 2)
Factor n**4/2 + 539*n**3/2 + 13057*n**2/2 + 106965*n/2 + 145719.
(n + 7)*(n + 9)**2*(n + 514)/2
Suppose 3*q**4/7 + 342*q**3/7 - 3789*q**2/7 - 8592*q/7 - 4464/7 = 0. What is q?
-124, -1, 12
Factor -a**4/3 - 74*a**3 + 1319*a**2/3 + 504680*a - 46512400/3.
-(a - 44)**2*(a + 155)**2/3
Determine n, given that 3*n**2/4 - 147*n/2 - 5865/4 = 0.
-17, 115
Factor l**3/3 - 232*l**2 - 14341*l/3 + 5012.
(l - 716)*(l - 1)*(l + 21)/3
Factor 2*x**3 + 380*x**2 - 1562*x - 1940.
2*(x - 5)*(x + 1)*(x + 194)
Determine v so that -9*v**5/4 - 471*v**4/4 + 441*v**3/2 + 984*v**2 + 648*v = 0.
-54, -4/3, -1, 0, 4
Find q, given that 2*q**5 - 620*q**4 + 63008*q**3 - 1987020*q**2 - 11311650*q - 9261000 = 0.
-4, -1, 105
Find w such that -w**2/3 + 59*w - 3542/3 = 0.
23, 154
Solve j**5/5 - 29296*j**4/5 + 214710309*j**3/5 - 428834898*j**2 = 0 for j.
0, 10, 14643
Factor -o**2/5 + 1853*o/5 - 3702/5.
-(o - 1851)*(o - 2)/5
Let -5*b**2 + 84300*b - 355324500 = 0. What is b?
8430
Factor -3838*w**2/5 - 3842*w/5 - 4/5.
-2*(w + 1)*(1919*w + 2)/5
Let 2*y**2/3 - 1774*y/3 - 1780 = 0. Calculate y.
-3, 890
Factor -y**2/11 - 45319*y/11 - 45318/11.
-(y + 1)*(y + 45318)/11
Factor -4*r**3/7 - 25940*r**2/7 + 14832*r.
-4*r*(r - 4)*(r + 6489)/7
Factor -o**3/4 + 91*o**2/2 - 539*o/4 + 179/2.
-(o - 179)*(o - 2)*(o - 1)/4
Determine r, given that -2*r**5/5 - 20006*r**4 - 250180030*r**3 - 750420058*r**2 - 750380048*r - 1250600072/5 = 0.
-25006, -1
Determine u, given that -2*u**5/15 - 4*u**4/5 + 8*u**3/3 + 12*u**2 - 38*u/15 - 56/5 = 0.
-7, -3, -1, 1, 4
Let 5*k**5 + 12425*k**4 = 0. What is k?
-2485, 0
Solve -2*k**2/13 - 200724*k/13 - 5036265522/13 = 0.
-50181
Factor -w**3/11 - 14*w**2/11 - 53*w/11 - 40/11.
-(w + 1)*(w + 5)*(w + 8)/11
Suppose -5*z**2 + 61010*z + 122040 = 0. What is z?
-2, 12204
Factor -2*p**2 + 11558*p.
-2*p*(p - 5779)
Suppose -2*d**5/3 + 15028*d**4/15 - 5561044*d**3/15 - 12799360*d**2/3 - 69881698*d/15 - 2292196/3 = 0. Calculate d.
-10, -1, -1/5, 757
Solve -2*y**4/5 - 1579*y**3/5 - 286149*y**2/5 + 2055904*y + 1042220 = 0.
-410, -1/2, 31
Solve -i**2/2 + 4269*i/2 + 17108 = 0.
-8, 4277
Solve 5*c**4/6 - 745*c**3/6 + 25465*c**2/6 + 199045*c/6 - 326095 = 0.
-11, 6, 77
Factor -j**2/5 - 314*j/5 + 30576/5.
-(j - 78)*(j + 392)/5
Solve 5*r**5 + 52615*r**4 - 30*r**3 - 315650*r**2 + 420905*r - 157845 = 0 for r.
-10523, -3, 1
Find q, given that -3*q**4/5 + 2853*q**3/5 + 111561*q**2 + 24372963*q/5 - 50999922/5 = 0.
-87, 2, 1123
Factor 2*q**3 + 7076*q**2 - 8*q - 28304.
2*(q - 2)*(q + 2)*(q + 3538)
Let u**5 + 16*u**4 - 39*u**3 - 46*u**2 + 140*u - 72 = 0. What is u?
-18, -2, 1, 2
Factor a**5/3 + 164*a**4/3 + 6388*a**3/3 - 9184*a**2 + 9408*a.
a*(a - 2)**2*(a + 84)**2/3
Solve -2*b**5/11 - 126*b**4/11 - 1612*b**3/11 + 6552*b**2/11 + 6480*b/11 - 24192/11 = 0.
-42, -24, -2, 2, 3
Determine i so that -2*i**2 + 254948*i - 509888 = 0.
2, 127472
Find b such that -2*b**4/5 - 48*b**3/5 + 134*b**2/5 + 708*b/5 - 1872/5 = 0.
-26, -4, 3
Let -1878845*k**2 + 91950*k - 1125 = 0. What is k?
15/613
Factor 3*q**4 - 486*q**3 - 984*q**2.
3*q**2*(q - 164)*(q + 2)
Factor -x**3/3 - 128*x**2 - 10349*x/3 - 6390.
-(x + 2)*(x + 27)*(x + 355)/3
What is m in -147*m**4/4 - 78981*m**3/2 - 247959*m**2/4 - 25755*m - 3219 = 0?
-1073, -1, -2/7
Factor 2*o**3/9 - 176*o**2/9 + 3146*o/9 - 5324/3.
2*(o - 66)*(o - 11)**2/9
Find c, given that 4*c**3 + 52*c**2 + 88*c = 0.
-11, -2, 0
Find o, given that o**3/4 - 127*o**2/4 + 1195*o/4 - 2925/4 = 0.
5, 117
Let -2*q**3/3 + 110*q**2 - 11878*q/3 - 4070 = 0. What is q?
-1, 55, 111
Factor y**2/2 - 52334*y - 314013/2.
(y - 104671)*(y + 3)/2
Factor -5*r**3 + 6155*r**2 + 247110*r + 685800.
-5*(r - 1270)*(r + 3)*(r + 36)
Factor 3*v**4/5 + 16*v**3/5 - 283*v**2/5 - 296*v/5.
v*(v - 8)*(v + 1)*(3*v + 37)/5
Determine k, given that k**4/4 + 234*k**3 + 65985*k**2/2 + 1674164*k + 115677429/4 = 0.
-777, -53
Factor 2*i**3 - 128924*i**2 + 257842*i - 128920.
2*(i - 64460)*(i - 1)**2
What is m in -34*m**4 - 23770*m**3 - 50226*m**2 - 29278*m - 2788 = 0?
-697, -1, -2/17
Solve -u**3/4 + 19*u**2 - 201*u/4 - 657/2 = 0.
-3, 6, 73
Determine p, given that 2*p**3/3 - 41100*p**2 + 369874*p/3 + 164392 = 0.
-1, 4, 61647
Factor 2*n**2 + 92*n - 19344.
2*(n - 78)*(n + 124)
Factor -3*n**3 + 194058*n**2 - 388107*n + 194052.
-3*(n - 64684)*(n - 1)**2
Find c such that 3*c**4 + 2256*c**3 + 4503*c**2 + 2250*c = 0.
-750, -1, 0
Determine l so that -3*l**2 + 3687*l - 43812 = 0.
12, 1217
Factor -4*t**2 - 21600*t - 21596.
-4*(t + 1)*(t + 5399)
Solve -5*u**4 + 175*u**3 + 105*u**2 - 3775*u + 3500 = 0.
-5, 1, 4, 35
Factor 3*z**3 - 292785*z**2 + 292782*z.
3*z*(z - 97594)*(z - 1)
Determine a so that 3*a**2 - 280584*a + 6560615088 = 0.
46764
Factor -3*d**2 - 1353072*d - 152566986432.
-3*(d + 225512)**2
Determine v so that -3*v**2/7 - 705*v/7 + 6588/7 = 0.
-244, 9
Factor 3*o**3 - 732*o**2 + 4311*o - 6426.
3*(o - 238)*(o - 3)**2
Suppose -4*a**3 - 88*a**2 + 1488*a - 4896 = 0. What is a?
-34, 6
Factor 2*j**2 + 8618*j - 25872.
2*(j - 3)*(j + 4312)
Let 25*j**4 - 445*j**3 + 1835*j**2 + 385*j = 0. Calculate j.
-1/5, 0, 7, 11
Factor 29160555843*l**2 - 591546*l + 3.
3*(98591*l - 1)**2
Determine d, given that 10*d**3 + 50765*d**2 - 177820*d - 101600 = 0.
-5080, -1/2, 4
Factor z**4 - 1738*z**3 - 5412*z**2 + 329882*z - 1450253.
(z - 1741)*(z - 7)**2*(z + 17)
Solve m**3/6 + 22*m**2/3 + 262*m/3 + 440/3 = 0.
-22, -20, -2
Factor 15*a**3 + 318940*a**2 + 1695485035*a + 1130181610.
5*(a + 10631)**2*(3*a + 2)
Solve -3*z**2 + 336*z - 6336 = 0 for z.
24, 88
Let -9*b**5/2 - 789*b**4/2 - 19867*b**3/2 - 114211*b**2/2 - 121484*b - 87846 = 0. What is b?
-121/3, -3, -2
Factor 5*l**2 + 35405*l - 248080.
5*(l - 7)*(l + 7088)
Factor -3*l**2 + 153*l + 4260.
-3*(l - 71)*(l + 20)
Solve -z**3/8 - 8133*z**2/8 - 4065*z/4 + 2033 = 0.
-8132, -2, 1
Factor -3*p**3 - 420*p**2 - 381*p + 5004.
-3*(p - 3)*(p + 4)*(p + 139)
Solve 4*u**2/5 + 7244*u/5 - 7248/5 = 0 for u.
-1812, 1
Let -3*t**2/4 + 62259*t/4 - 466605/2 = 0. Calculate t.
15, 20738
Factor -z**4 + 72*z**3 - 1296*z**2 + 6912*z.
-z*(z - 48)*(z - 12)**2
Solve -4*a**4 - 680*a**3 - 26388*a**2 + 249920*a + 2818816 = 0 for a.
-88, -7, 13
Determine d so that -d**5/2 + 69*d**4/2 + 635*d**3/2 - 1473*d**2/2 + 385*d = 0.
-10, 0, 1, 77
Factor 4*o**2 - 738912*o + 34124433984.
4*(o - 92364)**2
Solve -3*s**5 - 153*s**4 - 111*s**3 + 16065*s**2 + 31866*s + 15840 = 0 for s.
-48, -11, -1, 10
Let 3*x**2/7 - 746958*x/7 + 46495521147/7 = 0. Calculate x.
124493
Let 4*l**5 - 5924*l**4 + 35420*l**3 - 29500*l**2 = 0. Calculate l.
0, 1, 5, 1475
Let -76*t**3 - 4648*t**2 + 8756*t - 4032 = 0. What is t?
-63, 16/19, 1
Factor -2*j**2/13 - 548*j/13 + 5094/13.
-2*(j - 9)*(j + 283)/13
Find u such that -u**2/5 - 780287*u/5 - 780286/5 = 0.
-780286, -1
Factor -62*j**4/5 - 272*j**3/5 - 344*j**2/5 - 96*j/5.
-2*j*(j + 2)**2*(31*j + 12)/5
Suppose -q**2/2 - 5141*q/2 + 2571 = 0. Calculate q.
-5142, 1
What is c in -2*c**3/9 + 76*c**2/9 + 158*c/9 + 80/9 = 0?
-1, 40
Factor -c**2/3 + 1224*c - 21924.
-(c - 3654)*(c - 18)/3
Determine t so that -2*t**3/5 + 66234*t**2/5 + 529968*t/5 + 212000 = 0.
-4, 33125
Solve 9*k**5/8 + 165*k**4/4 + 189*k**3/4 - 639*k**2 + 1245*k/8 + 1575/4 = 0.
-35, -5, -2/3, 1, 3
Solve -20*z**4 - 4336*z**3 + 14068*z**2 - 2640*z = 0 for z.
-220, 0, 1/5, 3
Suppose -2*j**2/17 + 92824*j/17 - 1077036872/17 = 0. What is j?
23206
Factor 15*a**3/2 + 395*a**2 - 5575*a/2 + 885.
5*(a - 6)*(a + 59)*(3*a - 1)/2
Suppose -3369044*x**2 - 3369048*x - 4 = 0. What is x?
-1, -1/842261
Suppose 2*s**3 + 946*s**2 - 22890*s - 38708298 = 0. What is s?
-327, 181
Determine o so that -3*o**3/4 - 1323*o**2/4 + 28386*o - 559911 = 0.
-517, 38
Find h, given that -4*h**2 + 163160*h + 2448300 = 0.
-15, 40805
Factor c**4/6 + 63*c**3/2 + 5620*c**2/3 + 28704*c - 366336.
(c - 8)*(c + 53)*(c + 72)**2/6
Factor u**4 - 28 | {
"pile_set_name": "DM Mathematics"
} |
-j = 5*d + g - 11, 5*d + 23 = -3*g for d.
-4
Let k = -4420 - -4422. Solve 26*i = -3*a + 29*i - 15, -k*i = 0 for a.
-5
Suppose -2*p + p + 1 = -3*u, 0 = u - p + 5. Let t = 12 + -8. Let v = t - 0. Solve -3*c - k = c - 4, -u*c = -v*k - 2 for c.
1
Let d(z) = -z. Let f(h) = -2*h + 35. Let i(b) = 15*d(b) - 5*f(b). Let k be i(-38). Solve r + 3*u + k = 0, 3*u + 0 = -2*r - 15 for r.
0
Let x(d) = 19*d + 820. Let z be x(-43). Solve v - 2*v = h - z, 4*v - 5*h + 6 = 0 for v.
1
Let m be 47/9 + 12*(-12)/648. Solve u - 3*y - 3*y = 22, 0 = -2*u + m*y + 23 for u.
4
Suppose -2*m - 2*m + 16 = 2*a, -6 = 5*m - 4*a. Suppose 0 = 2*j - 225 + 99. Let c = j + -59. Solve 4*p - 5*g + 0 = c, m = 2*p + 4*g for p.
1
Let k(y) = -y**2 - 18*y + 76. Let v be k(-21). Suppose 3*o + v*o = 0. Suppose -40*w + 43*w - 6 = o. Solve -c - 2*z - w = -4, 2*c - 6 = -2*z for c.
4
Let t = 97 - 103. Let k be (1/(t/(-9)))/(1/(-4)). Let a(w) = -7*w - 37. Let b be a(k). Solve 16 = 4*h, -27 - b = -4*f - 5*h for f.
3
Let m be (-4 + 5)*(10 + -3 + -12 + 6). Solve b + b - m = 5*l, 0 = 4*l - 5*b + 11 for l.
1
Let j be ((-16)/(-10))/(7/(-35)). Suppose 0 = -6*c + 19 + 41. Let r = j + c. Solve 0 = t - 2*v + 4, -r*v = -5*t - 0*v + 4 for t.
2
Suppose 2*k - 1389 = -5*i, -2*k + 318 = 3*i - 1073. Suppose -23*z - k = -64*z. Solve 5*q + 4*c = z, q + 3*c = 5*q - 26 for q.
5
Let v(g) = g**3 - 19*g**2 + 33*g + 21. Let s be v(17). Solve -4*j - 5*d + 5 = -5*j, s*j - 26 = -3*d for j.
5
Suppose 0 = -1571*t + 1623*t. Solve -3*u + 4*i + 3 = 1, t = 4*u + 5*i - 13 for u.
2
Suppose -13 = -i + o, -5*i + 4*i - 2 = 4*o. Suppose -i*z + 116 = 19*z. Solve 7*m + z = 2*m - 2*a, 4*m - 4 = -4*a for m.
-2
Suppose 3*h - 4*t = -3067, 3071 = -3*h - 41*t + 43*t. Let v = h - -1029. Solve -12 = -2*g - 5*s, -2*g + 0*g = -v*s + 6 for g.
1
Let g(b) = b**3 + 15*b**2 - 35*b - 12. Let j be g(-17). Suppose 4*s - 3*z = 27, 0 = 2*s - j*s - z + 4. Solve 0 = o - 5*q + 17, -q + 7 = -5*o + s*o for o.
-2
Suppose 0 = v + 3*w - 5*w + 4, -w + 4 = 0. Suppose 70 = -v*q + 18*q. Solve -2*o + n = q*n - 8, -5*o = 4*n - 20 for o.
4
Let c(m) = 6*m - 62. Let r be c(10). Let q = r - -4. Solve 4*x - 11 = -q*i + x, -3*i - 2*x + 4 = 0 for i.
-2
Suppose v - 3*r = 26, 4*v - r - 48 - 1 = 0. Suppose -5 = -v*y + 39. Suppose -2*z + z + 2 = 0. Solve z*m + 4 = 0, y*a = 2*a - 3*m for a.
3
Suppose -3*i - 8*y - 18 = 0, 5*y + 5 = -20*i + 15*i. Solve -2 = -2*g - o - 4, -4*o - 14 = i*g for g.
1
Let t(i) = i**3 + 6*i**2 + 4. Let d be t(-6). Suppose 6*r - 48 = 2*r. Suppose 2*x - 2*f - r = 0, 26 - d = 4*x - 3*f. Solve x*v - 3 = z, 0*z = 3*z + v + 9 for z.
-3
Let x = -361 + 373. Solve 0 = -3*i + x, 2*i = -2*b - 17 + 35 for b.
5
Let q = -25 + 217. Let v be 4/(-12) + 0 + q/9. Solve 0 = -3*y + y - 2*o + 6, 5*y = o + v for y.
4
Suppose -4*y - l = 1, 79 = -y + 4*l + 83. Solve -4*d + y*d + 3*g + 1 = 0, 2*d - 2*g + 2 = 0 for d.
4
Let l(v) = -v**2 - 19*v**3 + 11*v**3 + 23 + 11 - 17*v + 9*v**3. Let w be l(4). Solve g + 4*b = -16, -3*b = -5*g - b - w for g.
-4
Suppose t = 5*q + 57, -2*t + 7*t - 265 = 5*q. Suppose -23*w + 27*w - t = 0. Suppose -w*j + 9*j = 0. Solve 4*m + 5 = -3*h, -m - 4*m + 5 = j for h.
-3
Let s = -96 - -98. Suppose 0*t - 6 = -s*t. Let c = 47 + -18. Solve -c = -4*l + t*y, 0*l + y = -4*l + 17 for l.
5
Let z be 11 + (-130)/13 - 353/1. Let j = 362 + z. Solve q = 2*k - 8, -2*k + j = q - 3*q for q.
-2
Suppose 14*l = 22*l + 16. Let u be -2 + (-5)/l + 129/6. Suppose 0 = 18*t - u*t + 40. Solve -3*p + 23 = 4*w, -3*p + t = -3*w + 1 for w.
2
Let o(c) = 378*c - 9448. Let n be o(25). Solve -5*g + y = 8, -n*y = g - 46 + 52 for g.
-2
Let g = 36 - 60. Let b = 2 + g. Let v = -22 - b. Solve 2*u - 6 = -4*x, v = x + 3*u + 1 for x.
2
Let k(q) = -q**3 + 13*q**2 - 105*q + 940. Let i be k(11). Solve -5*w = 3*n + 40, -3*w = 3*n + i + 3 for w.
-5
Let j(u) = 92*u - 518. Let q be j(6). Solve -2*x - 1 = -b, q = -5*b + 9 for x.
-3
Suppose 0 = -10*k + 4931 - 4901. Solve 5*g = -s + 24, k*s = 13 - 1 for g.
4
Let h(d) = d**2 + 2*d - 18. Let b be h(4). Let z(i) = 4*i - 21. Let y be z(b). Let q be 0/((-1 - -1) + -2 + y). Solve 3*g = 3*u + 12, 2*g = -2*u - q*g for u.
-2
Let b = 128 - 131. Let p be 545/(-45)*b + 4/(-3). Suppose 8 = 2*o - 0. Solve -33 = o*d - q - 4*q, -5*q + p = -5*d for d.
-2
Let k(r) = -10*r - 5 - r**2 + 0 - 7. Let s be k(-6). Solve -4*q + 10 = -2*h, 4*q - 1 - s = -h for h.
1
Suppose -h = 2, 5*b = 2*h + 2*h + 28. Let n be (b/(-4))/(-1) + 2. Suppose -4*c = -o + 3*o, 2*c + n*o = -8. Solve 0 = -4*j + c*f + 6, 3*f = -j + 6*j - 10 for j.
-1
Let m = -117 + 123. Let c(i) be the first derivative of -3*i**2/2 + 21*i + 4. Let k be c(m). Solve -5 = l - 4*x, k = 5*l + 4*x + 28 for l.
-5
Suppose 0*m = 5*m - 10, -2*h = -4*m. Let n(u) = -2*u**3 - 9*u**2 - 2*u - 3. Let t be n(-5). Solve l + 5*y + 33 = -l, h*y = -3*l - t for l.
-4
Suppose 3*d + 20 - 65 = 0. Suppose -173 = -11*s + 3. Let o be 52/s - d/(-20). Solve 3*g = 3, 4*a - o*g - g + 9 = 0 for a.
-1
Let m be (6/(-4))/((-3)/(-8)). Let c be m/(-10) - 189/(-15). Let l be (6/(-7))/((-42)/196). Solve 5*w = -20, -d - 3*w = l*d - c for d.
5
Let p = 310 - 403. Let u = p - -95. Solve u = -2*x, 2*y - 4*x - 13 = 5*y for y.
-3
Suppose 56*l - 4*g = 59*l - 127, -2*l - 5*g + 94 = 0. Solve -4*p - l = -5*f, 8 = 2*f - 2 for p.
-3
Let q = -58 + 110. Let k be (-9)/(-2)*q/78. Solve -4*g - 8 = k*f, 3*g = g + 4*f - 26 for g.
-5
Let r = 230 + 80. Let m be (1 + (-33)/55)/(4/r). Solve -3*c + y - 17 = -0*c, -5*c - m = -3*y for c.
-5
Suppose 3*b = -2*g + 42, -3*g - 51 = -4*b - b. Suppose -7*l + b*l - 30 = 0. Suppose l = -10*s + 206. Solve -5*c - s = 3*a, 4*a + c + 8 = -c for a.
0
Let j(u) = 25*u + 1329. Let t be j(-53). Solve p + 8 = -4*w - 2*p, -t*w - 4*p = 8 for w.
-2
Suppose 5*v = 5*k - 45, -820 = 4*k + v - 811. Solve 127*h + 2 = 125*h, -r - h - 6 = k for r.
-5
Let x be (-4 + (-22)/(-4))*6. Let j(w) = w**2 + 32*w + 254. Let y be j(-18). Solve x = -5*c - a - y, 2*c = 3*a - 18 for c.
-3
Let a(m) = m**3 + 5*m**2 + 5*m + 4. Let w be a(0). Solve -2*g = w*r - 6, -5*r + 4 - 1 = -2*g for r.
1
Let m(n) = 21*n - 10. Let p be m(1). Suppose 0 = 4*t + 8, 0 = q - t + p - 21. Solve 0 = -x - 4*c + 12, -4*x - 2*c = -q*x - 6 for x.
0
Let g(c) = c**2 - 5*c - 1324. Let q be g(39). Solve -q*p + 18 = -2*k, 4*p = -3*k + 14 - 13 for k.
-5
Let j(y) = -y**3 - 13*y**2 - 35*y + 27. Let m be j(-5). Solve 0 = -2*h - 4*u - 18, 13*h - 17*h + m*u - 16 = 0 for h.
-5
Let b be (-138787)/(-7733) - (-1)/19. Suppose -10 = -j - 0*s + 2*s, j = -s - 2. Solve -5*p + b = 4*o - 11, 0 = j*p - o - 9 for p.
5
Suppose 0 = 17*g - 8*g - 1935. Let b = 219 - g. Solve b*c = 3*d - 7, -c = -5*d + c - 7 for d.
-3
Let b(o) = o**3 + 6*o**2 + 29*o + 84. Let u be b(-4). Solve u = h - 5, h + 4 = 3*k - 6 for k.
5
Let m be (-1)/3 + 5124/(-18). Let x = -280 - m. Solve 3*b = x*u + 4 - 20, -4*b + 4*u = 16 for b.
-2
Let w be (668/20 - 5)*5/2. Suppose 10*q - w = -11. Solve 3 + 1 = -3*f - c, 2*f - c + q = 0 for f.
-2
Let b be 13 + (-596 - -593 - (2/(-2) - 8)). Solve -t = -2*g - 14 + b, 11 = -t + 4*g for t.
1
Let v = 193 - 248. Let d be (-10)/v + (-786)/(-33). Solve k - 2*k + d = 5*w, 20 = 5*w for k.
4
Let m(v) = -191*v - 2098. Let o be m(-11). Solve 3*p - 2*w = -3, -2*p + o*w = 3*p + 5 for p.
-1
Let i be (5/(-4))/((5 + -8)/12). Solve 0 = 6*h - h + 20, -3*s + i = h for s.
3
Let s(f) = -f**2 - 31*f - 104. Let c be s(-27). Suppose o = -3*j + 7, o + 0*o = -c*j + 6. Solve -3*t + 2*z - 2 = -o, -t + 4 = -z for t.
0
Let l(h) = -29*h**3 - 9*h**2 + 53*h**3 - 25*h**3 - 17*h + 7. Let i be l(-6). Solve -9 = -5*u + g, u - 6*u - g = -i for u.
1
Let y be (-52030)/(-198) + ((-2)/(-9))/1. Suppose 2*w + y = 143. Let x = w - -74. Solve 6*o - 5*c + x = 2*o, -c = -2*o - 4 for o.
-1
Let c(y) = -540*y - 535. Let b be c(-1). Solve -4 = -k, -8*s + b*s + 4*k - 19 = 0 for s.
-1
Let s = 34 - 37. Let b be (60/(-16) - s)*-4. Suppose -i - 5*q = -b*i + 10, 5*i - q = 25. Solve 5*u = -5*t - 15, -3*u + u = t + i for t.
-1
Let t(i) = -20*i**3 - i**2 + 6*i - 8. Let a be t(2). Let u = a - -164. Solve 2*j - u = 6*j - 4*r, 2*j - 22 = -4*r for j.
3
Suppose -21*m + 19*m + 4 = -w, 2 = m - 4*w. Solve -a + 1 = -2*t - 0*a, t = -m*a + 12 for t.
2
Let t(v) = v + 13. Let z be t(-9). Let q be (-3255)/(-45) - (4/(-6) + 1). Let g = q - 69. Solve 2*a = o, -g*a + 2 = -z*o + 12 for a.
2
Let r be (35 - (-111 | {
"pile_set_name": "DM Mathematics"
} |
a**2 + 3*a + 4. Is w(-4) a multiple of 3?
False
Let c(v) = -v. Let b(m) = -4*m + 30. Let r(u) = b(u) - 3*c(u). Is r(0) a multiple of 10?
True
Let h(q) = -2*q**3 + 9*q**2 - 45 + 51 - 11*q + 3*q**3. Is 4 a factor of h(-10)?
True
Let f(c) be the first derivative of -3/2*c**2 - 4*c + 1/3*c**3 - 4. Is f(7) a multiple of 12?
True
Let h = 1 + 6. Suppose 23 = 5*l - h. Is l a multiple of 2?
True
Let j = 18 + -20. Let y = 0 - -5. Let d = y - j. Is 4 a factor of d?
False
Let a = -100 - -145. Does 9 divide a?
True
Suppose 0 = 2*c - 6*c + 64. Let g = -4 + c. Is 12 a factor of g?
True
Suppose 3*b - 2*j - 14 - 14 = 0, 24 = 4*b + 4*j. Let r(i) = -i**2 + 12*i - 20. Does 12 divide r(b)?
True
Let k(s) = -10*s - 13. Is 5 a factor of k(-5)?
False
Let p = 47 - 27. Suppose -2*v = 5*r - 7*v - p, -5*v = -3*r + 14. Let j = 7 - r. Is 2 a factor of j?
True
Let a(l) = -10*l + 4. Let j be a(7). Let v = j - -109. Does 17 divide v?
False
Let n = -265 + 535. Suppose n = 8*p - 3*p. Is 20 a factor of p?
False
Suppose -2*x = x - 624. Is 13 a factor of x?
True
Let t be ((-18)/(-5))/((-3)/(-1000)). Suppose -2*a - t = 3*a - 5*q, -3*q + 958 = -4*a. Is 5 a factor of a/(-22) + 8/44?
False
Let r(f) = f**2 - 6*f + 6. Let p(u) = -4*u + 1. Let b be p(-1). Let h be r(b). Suppose 0 = -3*a + h + 8. Is a a multiple of 3?
True
Suppose d - 10 = -4*d. Suppose o + 72 = 2*u - 2*o, 5*u + d*o = 218. Does 15 divide u?
False
Let x = 29 - 20. Suppose -10 = -2*i, n + 5*i = x + 24. Does 8 divide n?
True
Let c(x) = 3*x + 5. Let q be c(6). Let j = q - 3. Is 20 a factor of j?
True
Let q = 2 - 0. Suppose -q*h + y - 7 + 4 = 0, -y = -5*h. Suppose -4*v = -7 - h. Is v a multiple of 2?
True
Let v = -43 - -150. Suppose 5*w - 30 = -q, -2*w - v = -3*q - 0*w. Suppose -q - 29 = -4*a. Does 16 divide a?
True
Let a(v) = 2*v**2 + 9*v - 18. Let m(g) = g**2 + 4*g - 9. Let w(c) = -4*a(c) + 9*m(c). Let x be (2 + -1 - -6) + 0. Is w(x) a multiple of 14?
False
Let g(y) = 3*y - 23. Does 6 divide g(11)?
False
Suppose 0 = 5*g - 2*p - 56, 2*g = -3*g + p + 58. Is 8 a factor of g + (-9)/3*1?
False
Suppose -q = 5*z - 241, -3*z + 5*q + 145 = 6. Is z a multiple of 16?
True
Is 2 a factor of 6/14 - 875/(-245)?
True
Let p(b) = 3*b**2 + b - 9. Let y(o) = -o**2 + o. Let f(u) = -p(u) - 4*y(u). Is f(6) a multiple of 11?
False
Let h be ((-1)/(-3))/(4/12). Let p = h - -9. Let c(l) = -l**3 + 10*l**2 + l + 8. Is 9 a factor of c(p)?
True
Suppose 0*w - 3*w - 45 = -3*o, -5*w - 35 = 3*o. Is 10 a factor of (-9)/((-9)/w)*-2?
True
Let j(y) = 4*y**2 + 2*y - 2. Does 14 divide j(-3)?
True
Let q = -14 - -8. Let y(w) be the first derivative of -w**2 - 6*w - 3. Is 3 a factor of y(q)?
True
Suppose -i + 2*i = 2*s - 82, 0 = -3*s - 4*i + 123. Does 5 divide s?
False
Is 12/54 + ((-5178)/(-27) - -3) a multiple of 9?
False
Let y(j) = -4*j + 7. Let z(f) = -4*f + 7. Let q(u) = -5*y(u) + 4*z(u). Is q(10) a multiple of 11?
True
Let m = 21 + 30. Does 17 divide m?
True
Suppose 2*z - 130 = -3*z. Is 7 a factor of z?
False
Suppose 2*y - 39 - 25 = 0. Is y a multiple of 16?
True
Let f(l) be the third derivative of 1/6*l**3 - 1/12*l**4 + l**2 + 3/20*l**5 + 0 + 0*l. Does 4 divide f(1)?
True
Let a(l) = -l - 1. Let x be a(-6). Suppose 3*h - 8 = x*g + 17, h - 12 = -2*g. Does 6 divide h?
False
Is 36/16*(-1 + (-163)/(-3)) a multiple of 12?
True
Let g be (-642)/36 - 2/12. Let b = -10 - g. Is b a multiple of 3?
False
Is (44 + -1)/(14 + -13) a multiple of 5?
False
Let y(z) = -6*z**2 + z + 3*z**2 - z**3 + 10 - 5*z**2. Let j be y(-8). Suppose -23 - 15 = -j*b. Is 19 a factor of b?
True
Let g = -10 + 14. Is 18/g*(2 - 0) a multiple of 5?
False
Let v(h) = -h**3 - 7*h**2 - 4*h - 2. Let i be ((-14)/6)/((-2)/(-6)). Does 9 divide v(i)?
False
Let n = 11 + -6. Suppose -v + 57 = n*l, -5*l + v = -4*v - 45. Is 11 a factor of l?
True
Let d(m) = -m**3 + 6*m**2 + 7*m + 1. Let c be d(7). Suppose r - 6 - c = 0. Is 3 a factor of r?
False
Let i be 1/((-1)/3) + 9. Let v(w) = w**3 - 5*w**2 + w - 1. Is v(i) a multiple of 12?
False
Suppose -3*z + 8*j = 4*j - 817, -2*j = -5*z + 1357. Let g = z - 183. Suppose n - 66 = -3*c - 3*n, -4*n - g = -4*c. Is c a multiple of 11?
True
Is (-82)/(-4)*6 + 17/17 a multiple of 31?
True
Suppose 65 = 5*x - 5*f, 2*f = 5*x - 5 - 48. Suppose -3*q = -6 - x. Is q a multiple of 5?
True
Does 22 divide (-880)/6*(-1 - 5/25)?
True
Suppose -3*x - 2*x - 15 = 0. Let t(j) = 20*j**2 - j. Let m be t(x). Suppose -4*w + 177 = -5*g + 28, m = 5*w - 3*g. Is 12 a factor of w?
True
Suppose -1 + 6 = x. Suppose 0*a = x*a - s - 189, -110 = -3*a + 4*s. Is a a multiple of 11?
False
Let q be -1*12*15/(-10). Suppose 3*f = -3*r + q, -2*f = f - 9. Let j(p) = 3*p. Does 7 divide j(r)?
False
Let t be (0 - -65)*(1 - 2). Let s = -5 - -8. Does 8 divide (1 - t)/s - -1?
False
Suppose -3*c + 50 = 2*c. Is c*-2*(-3)/12 a multiple of 5?
True
Let y = -50 + 121. Is 18 a factor of y?
False
Let w(z) = -z**2 + 9*z - 9. Let s be w(6). Is 43/s - (-4)/18 a multiple of 2?
False
Let q = 5 + -1. Suppose -r + n - 1 = 1, 5*n + 17 = -q*r. Is (0 + r)*(-32)/12 a multiple of 8?
True
Let c = 82 + -53. Suppose c = 2*i + 1. Does 7 divide i?
True
Suppose 4*n - 8 = 0, 2*u = -2*n - 3*n + 4. Let t(v) = -2*v. Let z be t(u). Is 6 a factor of z + 1 + 1 + -2?
True
Suppose 3*h = -2*y + 194, -2*h + 96 = y - 0*h. Does 5 divide y?
True
Suppose 0*i - i = -62. Suppose 2*m = n + i, -4*m + 126 = -n - 2*n. Does 17 divide m?
False
Let j(m) = -m**2 - 3*m + 2. Let o be j(-3). Suppose -20 = -4*s, 4*s = -z - 0 + 17. Is 22 a factor of o/(-2 - z)*22?
True
Let g(b) = -b**2 + 6*b + 5. Let s = 9 - 3. Is g(s) a multiple of 3?
False
Let q(y) = -y - 1 - 3*y + 4*y**3 + 5*y + 3. Does 7 divide q(2)?
False
Let p = -23 + 30. Does 7 divide p?
True
Let s be 6/27 - 922/18. Let v = 86 + s. Suppose -4*a - 3 = -v. Is 4 a factor of a?
True
Let m(c) = c - 7. Let s be m(3). Let b(n) = -19*n - 9. Is b(s) a multiple of 15?
False
Let k(h) = -h**2 + 2. Let o be k(2). Does 11 divide (-20)/o + 1/1?
True
Let q(i) = -3*i**3 + 2*i**2 + 5*i + 1. Let t(d) = -16*d**3 + 9*d**2 + 26*d + 5. Let c(b) = 11*q(b) - 2*t(b). Let r be (-60)/27 - (-2)/9. Does 17 divide c(r)?
False
Let f(c) be the second derivative of -2*c**3 - 2*c. Let r = -1 + -1. Is 10 a factor of f(r)?
False
Let l be -3 + (3 - (-4)/(-2)). Let n be 12/54 + l/9. Suppose h - 5 - 1 = n. Is h a multiple of 6?
True
Let n(z) = -z**3 + 3*z + 70. Is 5 a factor of n(0)?
True
Suppose -6*y + y + 25 = 0. Is y a multiple of 5?
True
Suppose -v + 3*b = 14, -34 = 4*v - 3*b + 4. Does 13 divide -4*(68/v - -2)?
True
Let x be (3/(-3))/(2/10). Let w(h) = -7*h - 3*h**2 - 2*h**2 + 6 + 4*h**2. Is 16 a factor of w(x)?
True
Let t be (-6)/3 + -1 - -14. Let l(z) = -z**2 + 13*z + 10. Is 18 a factor of l(t)?
False
Let c = 9 + -9. Does 19 divide (-5 - -2 - c)*-19?
True
Suppose 0*k - 4*k = m - 44, 0 = 2*m + k - 53. Is 8 a factor of m?
True
Suppose 0 = 5*f - 2*o - 460, -f + 104 = -0*f + 2*o. Does 30 divide f?
False
Let l = 9 - -44. Does 3 divide l?
False
Suppose 3*r + 45 = 3*v, 5*r = -0*v - 4*v + 33. Let x = -4 + v. Is 8 a factor of x?
True
Suppose 2*m + 2*m = 44. Let o = m - -22. Does 12 divide o?
False
Is -80*(2 - 3)*1 a multiple of 6?
False
Let v be (-1 - 0)/(1/25). Let i = 57 + v. Does 11 divide i?
False
Suppose -280 = -4*b + 5*h, -7*h = 2*b - 3*h - 140. Does 7 divide b?
True
Let g(i) = 6*i - 4. Let n be g(6). Does 10 divide (-2)/(-2) - (-1 - n)?
False
Does 2 divide (-32)/(-18) - (-16)/72?
True
Let j = 12 - 8. Suppose 174 = j*i - c + 18, 0 = -3*c - 12. Suppose 0 = q + q - i. Is 19 a factor of q?
True
Let n = -70 + 112. Is 14 a factor of n?
True
Suppose 0 = 4*q - 8. Suppose 2*o - 120 = -q*o. Does 10 divide o?
True
Let o = 78 + 11. Does 25 divide o?
False
Let t(a) = -a**3 - 5*a**2 - 5*a + 1. Let b be t(-4). Suppose -5*u = -0*u - c - 226, -b*u - 5*c + 250 = 0. Is 23 a factor of u?
True
Suppose -490 = -2*q - 3*q. Suppose -z = z - q. Does 19 divide z?
False
Let t(r) be the third derivative of -r**4/24 + 2*r**3/3 + 4*r**2. Let n be t(-6). Suppose 0 = n*g - 7*g - 42. Is 14 a factor of g?
True
Suppose -4*n = 5*m - 32, -m + 4*m = -2*n + 18. Let c(p) = p**2 - 2*p - 1. Let v be c(n). Does 15 divide v/(-4) - (-62)/4?
True
Suppose 2*f + 3*f = -2*c + 115, -5*f - 3*c + 120 = 0. Does 7 divide f?
True
Suppose 3*p = -2*p - 20, 0 = 4*k - 4*p + 4. Let b(z) = 3*z**2 + 6*z - 5. Let y be b( | {
"pile_set_name": "DM Mathematics"
} |
324*r**2 - 690*r + 8 = 0. Calculate r.
-1, 4/337, 1/3
Let 5*w**5 - 40*w**4 + 75*w**3 + 40*w**2 - 80*w = 0. What is w?
-1, 0, 1, 4
Factor 5*y**3 + 45*y**2 - 125*y - 165.
5*(y - 3)*(y + 1)*(y + 11)
What is n in 2*n**5/3 - 86*n**4/9 - 22*n**3/3 + 86*n**2/9 + 20*n/3 = 0?
-1, -2/3, 0, 1, 15
Let 3*s**2 + 3156*s + 830028 = 0. What is s?
-526
Factor w**2/2 - 34*w + 67/2.
(w - 67)*(w - 1)/2
Solve 250*g**4 - 50*g**3 - 630*g**2 - 486*g - 108 = 0 for g.
-3/5, 2
Factor 3*m**5 + 6*m**4 - 12*m**3 - 24*m**2.
3*m**2*(m - 2)*(m + 2)**2
Suppose 4*u**4 - 552*u**3 + 24816*u**2 - 335768*u - 1245876 = 0. Calculate u.
-3, 47
Solve t**5/5 - 18*t**4/5 + 97*t**3/5 - 144*t**2/5 + 64*t/5 = 0.
0, 1, 8
Factor 8*t**2 + 1724*t - 4360.
4*(t + 218)*(2*t - 5)
Factor -3*m**5/2 + 15*m**4/2 - 12*m**3 + 6*m**2.
-3*m**2*(m - 2)**2*(m - 1)/2
Factor -2*y**2/9 - 80*y/9 - 26/3.
-2*(y + 1)*(y + 39)/9
Factor -4*n**3 + 8*n**2 + 76*n - 80.
-4*(n - 5)*(n - 1)*(n + 4)
Find v such that -v**5/4 - v**4/4 + 27*v**3/4 - 27*v**2/4 - 27*v/2 = 0.
-6, -1, 0, 3
Determine c so that 5*c**4 = 0.
0
Find d such that 2*d**5/3 - 8*d**4/3 - 14*d**3/3 + 20*d**2/3 = 0.
-2, 0, 1, 5
Factor 2*a**2/9 + 1160*a/9 + 168200/9.
2*(a + 290)**2/9
What is i in -3*i**5 + 45*i**4 + 162*i**3 - 3846*i**2 + 5841*i + 9801 = 0?
-9, -1, 3, 11
Determine x, given that -3*x**3 - 852*x**2 - 849*x = 0.
-283, -1, 0
Find y, given that 13*y**5 - 236*y**4 + 1453*y**3 - 3494*y**2 + 3052*y - 392 = 0.
2/13, 2, 7
Determine x so that x**5/6 - x**4/6 - x**3/6 + x**2/6 = 0.
-1, 0, 1
Determine k, given that 22*k**4 - 128*k**3 + 42*k**2 + 232*k + 40 = 0.
-1, -2/11, 2, 5
Factor 4*b**2/5 + 1432*b/5 + 128164/5.
4*(b + 179)**2/5
Factor -2*c**3 + 436*c**2 - 24192*c + 46656.
-2*(c - 108)**2*(c - 2)
Determine h, given that 2*h**2/11 + 392*h/11 + 3720/11 = 0.
-186, -10
Let -5*f**5/3 - 20*f**4 - 45*f**3 + 180*f**2 + 540*f = 0. Calculate f.
-6, -3, 0, 3
Solve -3*l**4/5 - 34*l**3/5 - 3*l**2/5 + 84*l/5 - 44/5 = 0.
-11, -2, 2/3, 1
Find a such that -9*a**5 + 12*a**4 - 3*a**3 = 0.
0, 1/3, 1
Let -3*b**4/5 + 9*b**3 - 87*b**2/5 - 621*b/5 - 486/5 = 0. Calculate b.
-2, -1, 9
Find s, given that 5*s**4/3 - 25*s**3/3 + 40*s**2/3 - 20*s/3 = 0.
0, 1, 2
Find d such that -3*d**5 - 21*d**4 + 63*d**3 + 81*d**2 = 0.
-9, -1, 0, 3
Suppose 18*f**3 - 22*f**2 - 32*f + 8 = 0. What is f?
-1, 2/9, 2
Factor 2*b**3/7 - 8*b**2/7 - 22*b/7 - 12/7.
2*(b - 6)*(b + 1)**2/7
What is d in d**4 - 2*d**3 = 0?
0, 2
Suppose -3*z**3/7 + 6*z**2 - 153*z/7 + 162/7 = 0. What is z?
2, 3, 9
Solve -7*c**2/6 + 41*c/3 + 4 = 0 for c.
-2/7, 12
Solve 2*t**2/15 - 6*t/5 + 8/3 = 0.
4, 5
Suppose k**4 - 3*k**3 - 2*k**2 + 12*k - 8 = 0. What is k?
-2, 1, 2
Factor -m**4/5 + m**3 + 33*m**2/5 + 27*m/5.
-m*(m - 9)*(m + 1)*(m + 3)/5
Find f, given that -22*f**3 - 14*f**2 + 8*f = 0.
-1, 0, 4/11
Factor -a**3/6 + 15*a**2/2 - 7*a - 44/3.
-(a - 44)*(a - 2)*(a + 1)/6
Determine u, given that 2*u**3/7 - 18*u**2/7 + 40*u/7 - 24/7 = 0.
1, 2, 6
Factor -l**3/6 - 85*l**2/3.
-l**2*(l + 170)/6
What is l in -45*l**2 - 70*l = 0?
-14/9, 0
Solve -14*r**3 + 130*r**2 - 36*r = 0.
0, 2/7, 9
What is i in 22*i**3/9 - 2668*i**2/3 - 1054*i - 1460/9 = 0?
-1, -2/11, 365
Factor c**2/9 - 3190*c/9 + 2544025/9.
(c - 1595)**2/9
Solve -4*v**5 - 1288*v**4 - 104964*v**3 - 206080*v**2 - 102400*v = 0.
-160, -1, 0
Determine s, given that -s**4 - 35*s**3 - 396*s**2 - 1296*s + 1728 = 0.
-12, 1
Find q such that -q**3 + 14*q**2 - 43*q + 30 = 0.
1, 3, 10
Factor -w**2/7 - 8*w/7 - 1.
-(w + 1)*(w + 7)/7
Factor -4*f**2 + 9436*f + 9440.
-4*(f - 2360)*(f + 1)
Let 4*j**4/9 + 88*j**3/9 - 832*j**2/9 - 280*j/9 + 2900/3 = 0. Calculate j.
-29, -3, 5
Factor 12*i**2 - 11772*i + 2887083.
3*(2*i - 981)**2
Solve -2*n**2/7 + 8*n/7 = 0 for n.
0, 4
Factor -175*f**2/3 + 305*f/3 + 30.
-5*(f - 2)*(35*f + 9)/3
Find b such that b**4/11 + 25*b**3/11 - 112*b**2/11 + 116*b/11 = 0.
-29, 0, 2
Factor -o**5 + 8*o**4 + 11*o**3 - 18*o**2.
-o**2*(o - 9)*(o - 1)*(o + 2)
Factor h**4/2 + 49*h**3/2 - 53*h**2 - 98*h + 204.
(h - 2)**2*(h + 2)*(h + 51)/2
Factor v**3/5 + 24*v**2/5 - 45*v - 248/5.
(v - 8)*(v + 1)*(v + 31)/5
Factor -5*p**5 + 74*p**4 + 15*p**3.
-p**3*(p - 15)*(5*p + 1)
Find m, given that 242*m**3/7 - 198*m**2/7 - 6*m - 2/7 = 0.
-1/11, 1
Factor 3*q**3 + 35*q**2/4 - q - 3/4.
(q + 3)*(3*q - 1)*(4*q + 1)/4
What is d in -3*d**5/4 - 15*d**4/2 - 93*d**3/4 - 33*d**2/2 + 24*d + 24 = 0?
-4, -2, -1, 1
Let 234*g**4/7 + 4012*g**3/7 + 4318*g**2/7 + 68*g - 64/7 = 0. Calculate g.
-16, -1, -2/9, 1/13
What is s in 28*s**4 + 92*s**3 - 480*s**2 - 144*s = 0?
-6, -2/7, 0, 3
Let -f**4/2 - 29*f**3/2 + 17*f**2 + 58*f - 60 = 0. What is f?
-30, -2, 1, 2
Suppose -5*h**5 + 70*h**4 - 360*h**3 + 880*h**2 - 1040*h + 480 = 0. What is h?
2, 6
Determine f so that -5*f**2 - 390*f - 385 = 0.
-77, -1
Let -2*f**5/7 - 8*f**4/7 - 10*f**3/7 - 4*f**2/7 = 0. Calculate f.
-2, -1, 0
Determine u, given that u**5 - 9*u**4 - 3*u**3 + 25*u**2 + 18*u = 0.
-1, 0, 2, 9
Determine u, given that -18*u**4 - 60*u**3 + 107*u**2/2 + 45*u/2 + 2 = 0.
-4, -1/6, 1
Solve 4*b**3 = 0 for b.
0
Determine f so that -f**4 + 12*f**3 - 23*f**2 - 36*f = 0.
-1, 0, 4, 9
Factor -2*f**4 + 304*f**3 - 11552*f**2.
-2*f**2*(f - 76)**2
Factor v**3 - 7*v**2 + 36.
(v - 6)*(v - 3)*(v + 2)
Factor -a**4/4 + 127*a**3/2 - 16381*a**2/4 + 8001*a - 3969.
-(a - 126)**2*(a - 1)**2/4
Determine b so that -b**2/3 - 86*b/3 + 176/3 = 0.
-88, 2
What is m in -4*m**5 - 20*m**4 + 8*m**3 + 112*m**2 + 32*m - 128 = 0?
-4, -2, 1, 2
Suppose -2*n**5/15 + 62*n**4/15 - 374*n**3/15 - 578*n**2/5 = 0. What is n?
-3, 0, 17
Factor -4*b**2 + 12*b + 352.
-4*(b - 11)*(b + 8)
Factor 5*l**3 - 4775*l**2 + 9535*l - 4765.
5*(l - 953)*(l - 1)**2
Find o such that -4*o**3/3 - 68*o**2 + 216*o = 0.
-54, 0, 3
Factor f**5 - 5*f**4 + 7*f**3 - 3*f**2.
f**2*(f - 3)*(f - 1)**2
Factor 4*q**5 - 16*q**4 - 28*q**3 + 40*q**2.
4*q**2*(q - 5)*(q - 1)*(q + 2)
Factor -2*l**3 - 76*l**2 - 278*l - 204.
-2*(l + 1)*(l + 3)*(l + 34)
Suppose 3*w**3 - 66*w**2 - 141*w - 72 = 0. What is w?
-1, 24
Factor 5*a**2 + 14775*a - 14780.
5*(a - 1)*(a + 2956)
Factor -3*l**4 - 24*l**3 - 60*l**2 - 48*l.
-3*l*(l + 2)**2*(l + 4)
Determine l, given that -3*l**4/2 + 12*l**3 - 51*l**2/2 + 15*l = 0.
0, 1, 2, 5
Find j such that -j**2 - 2991*j = 0.
-2991, 0
What is y in -3*y**4 - 6*y**3 + 21*y**2 + 24*y - 36 = 0?
-3, -2, 1, 2
Let -2*m**2/7 + 472*m/7 + 1920/7 = 0. Calculate m.
-4, 240
Determine v, given that 2*v**5 - 28*v**4 - 222*v**3 - 352*v**2 - 160*v = 0.
-4, -1, 0, 20
Factor 5*i**2 - 115*i + 300.
5*(i - 20)*(i - 3)
Let 2*t**3/3 + 6*t**2 + 40*t/3 + 8 = 0. Calculate t.
-6, -2, -1
Factor -2*l**2/3 - 244*l/3 - 7442/3.
-2*(l + 61)**2/3
What is m in 12*m**5 + 16*m**4 - 104*m**3 - 144*m**2 - 36*m = 0?
-3, -1, -1/3, 0, 3
Factor -2*s**2/3 - 170*s/3 - 3572/3.
-2*(s + 38)*(s + 47)/3
Find o, given that -5*o**3 + 5*o**2 + 25*o + 15 = 0.
-1, 3
Factor -65025*u**3/4 - 11985*u**2 - 3141*u/4 - 27/2.
-3*(3*u + 2)*(85*u + 3)**2/4
Solve w**3/5 - 607*w**2/5 - 1217*w/5 - 609/5 = 0.
-1, 609
Find k, given that -k**3/8 + 347*k**2/8 - 3827*k + 11094 = 0.
3, 172
Determine k, given that 54*k**4 + 108*k**3 + 72*k**2 + 16*k = 0.
-2/3, 0
Factor -169*t**3/6 + 3289*t**2/6 - 2920*t + 2400.
-(t - 1)*(13*t - 120)**2/6
Factor 3*b**4 + 51*b**3 - 111*b**2 + 57*b.
3*b*(b - 1)**2*(b + 19)
Factor -25*q**5 + 40*q**4 - 16*q**3.
-q**3*(5*q - 4)**2
Factor -4*f**2 - 156*f + 504.
-4*(f - 3)*(f + 42)
Find s such that 5*s**5/3 + 137*s**4/3 - 32*s**3 - 340*s**2/3 - 112*s/3 = 0.
-28, -1, -2/5, 0, 2
Suppose -2*j**4 - 296*j**3 - 13356*j**2 - 112360*j + 3275294 = 0. What is j?
-53, 11
Factor -3*j**3 - 39*j**2 - 117*j - 81.
-3*(j + 1)*(j + 3)*(j + 9)
Factor -4*s**3/7 - 368*s**2 + 5164*s/7 - 2584/7.
-4*(s - 1)**2*(s + 646)/7
Factor 2*l**4/7 - 24*l**3/7 + 10*l**2 - 48*l/7.
2*l*(l - 8)*(l - 3)*(l - 1)/7
What is l in 3*l**4/5 - 6*l**3/5 - 21*l**2/5 + 12*l - 36/5 = 0?
-3, 1, 2
What is o in 25*o**5 - 10*o**4 - 75*o**3 - 20*o**2 + 20*o = 0?
-1, 0, 2/5, 2
Factor 5*u**4 + 5*u**3 - 25*u**2 + 15*u.
5*u*(u - 1)**2*(u + 3)
Find k such that -k**3/6 - 27*k**2/2 - 39*k = 0.
-78, -3, 0
Solve -2*g**5 + 46*g**4 + 192*g**3 - 936*g**2 = 0 for g.
-6, 0, 3, 26
Factor -2*h**4 + 38*h**3 + 580*h**2 + 2304*h + 2880.
-2*(h - 30)*(h + 3)*(h + 4)**2
Determine r so that -5*r**3/2 + 89*r**2/2 - 387*r/2 - 81/2 = 0.
-1/5, 9
Suppose 3*k**2 + 3288*k + 90 | {
"pile_set_name": "DM Mathematics"
} |
l(w(c))?
-729*c**2 - 15552
Let f(p) = 12*p**2 + 7*p. Let c(m) = 7*m**2 + 4*m. Let a(g) = -7*c(g) + 4*f(g). Let u(o) = 7*o**2 - 2. Determine u(a(h)).
7*h**4 - 2
Let y(r) = -13*r. Let a(i) be the third derivative of 0 + 0*i**3 + 0*i + 1/24*i**4 + 7*i**2. Determine y(a(q)).
-13*q
Let j(c) = -12*c. Let r(y) = -632*y**2 - 5*y. Calculate r(j(u)).
-91008*u**2 + 60*u
Let r(v) be the second derivative of -v**4/3 + v. Let t(n) be the second derivative of -n**4/6 + 41*n - 2. Give t(r(h)).
-32*h**4
Let l(u) be the second derivative of 5*u**3/3 + 7*u. Let o(a) = a**2 - 8*a + 10. Let n be o(7). Let q(d) = 5*d - 3*d - n*d. Determine q(l(t)).
-10*t
Let d(i) = -2*i - 238. Let a(w) = 2154*w. Calculate a(d(x)).
-4308*x - 512652
Let g(o) = 2*o**2. Let i(m) = -18*m**2 - 44*m**2 - m**2. Give g(i(s)).
7938*s**4
Let o(p) = 57*p + 1. Let f(x) = -581*x**2 - 583*x**2 + 1166*x**2. Determine f(o(u)).
6498*u**2 + 228*u + 2
Suppose 0 = -2*d - 3*z + 75, -134 - 37 = -4*d + z. Let n(a) = -a + 22 - d + 20. Let m(i) be the third derivative of -2*i**5/15 + i**2. Calculate n(m(y)).
8*y**2
Let h(m) = -1127*m + 4. Let y(z) = z. Calculate h(y(q)).
-1127*q + 4
Let x(m) = 2*m. Let q(u) = -86275*u. What is q(x(y))?
-172550*y
Let t(m) = -2*m**2. Let b(a) = 201707*a. What is t(b(c))?
-81371427698*c**2
Let m(g) = 113*g**2 + 2*g. Let i(p) = 6546*p. What is i(m(o))?
739698*o**2 + 13092*o
Let l(b) = -380*b**2. Let o(j) = j - 5. Give o(l(z)).
-380*z**2 - 5
Let z(b) = -b**2 + 6*b. Let w(n) = -n. Let o(y) = -6*w(y) - z(y). Let j(q) = 14*q + 2. Determine o(j(m)).
196*m**2 + 56*m + 4
Let a(l) = 391*l - 766*l + 385*l. Let v(w) be the first derivative of w**3/3 + 1. Calculate v(a(d)).
100*d**2
Let i(l) = -2*l. Let g(o) = -o**2 + 875832. Give g(i(t)).
-4*t**2 + 875832
Let l = 19 + -7. Let u(h) = -75*h + l*h**2 + 75*h. Let p(q) = -2*q. Determine p(u(r)).
-24*r**2
Let s(x) be the first derivative of -x**3/3 - 239. Let n(a) = -9*a - 2. What is n(s(r))?
9*r**2 - 2
Let p(y) = 19*y**2. Suppose -6*j = -9*j + 243. Let q = -45 + j. Let x(o) = -36*o - o**2 + q*o. What is p(x(n))?
19*n**4
Let x(g) = -5*g. Let j(q) be the second derivative of 5*q**4/12 + 12*q. Let p(r) = r**2. Let z(k) = -j(k) + 3*p(k). Calculate z(x(f)).
-50*f**2
Let k(o) = 264*o**2. Let h(s) = -1212 + 2*s + 1212. Determine k(h(y)).
1056*y**2
Let c(x) be the third derivative of 25*x**2 + 0 + 1/12*x**4 + 0*x + 0*x**3. Let h(s) = 26*s**2. What is h(c(d))?
104*d**2
Let p(y) = -4*y**2 + 5*y + 10. Let o(r) = r**2 - r - 2. Let g(d) = -10*o(d) - 2*p(d). Let i(h) = 778*h**2. Give g(i(f)).
-1210568*f**4
Let b(u) = 12*u + u**2 - 12*u - 2*u**2. Let s(k) be the third derivative of k**5/8 - 3*k**3/2 + 9*k**2. Let l(g) be the first derivative of s(g). Give l(b(z)).
-15*z**2
Let j(s) = 5*s + 3. Let g(p) = -12*p**2 - 3. Determine j(g(q)).
-60*q**2 - 12
Let s(x) be the third derivative of -x**5/30 + x**2. Let y = 2017 + -1412. Let b(j) = y + 4*j**2 - 605. Calculate s(b(k)).
-32*k**4
Let y(l) = 2*l**2 + 30. Let n(b) = -b**2 - 15. Let o(s) = 5*n(s) + 2*y(s). Let a(j) be the first derivative of o(j). Let d(z) = -16*z**2. What is a(d(u))?
32*u**2
Let a(r) be the third derivative of -r**8/5040 + r**5/30 - r**2. Let u(d) be the third derivative of a(d). Let h(g) = 0*g + 0*g - 2*g. Calculate u(h(b)).
-16*b**2
Let m(f) be the first derivative of 12 + 0*f + 0*f**2 + 2/3*f**3. Let k(l) = 3*l. Calculate m(k(r)).
18*r**2
Let q(r) = -47*r + 149. Let z(h) = 17*h**2 + 1. What is z(q(d))?
37553*d**2 - 238102*d + 377418
Let d(l) = -2*l. Let b(k) be the first derivative of 0*k**2 - 6 + 0*k - 32/3*k**3. Give d(b(m)).
64*m**2
Let i(v) = -9*v**2 - 734*v. Let b(t) = 16*t. Determine b(i(g)).
-144*g**2 - 11744*g
Let o(c) = -2*c. Let f(l) = -8*l**2 - 7*l + 34. Let p(k) = 7*k**2 + 6*k - 31. Let d(u) = 6*f(u) + 7*p(u). Calculate o(d(h)).
-2*h**2 + 26
Let v(y) = 386*y - 5. Let c(z) = 10*z. Give c(v(p)).
3860*p - 50
Let s(m) = 0 + 0 - 14*m + 13*m. Let d(f) = -42*f + 5. Let p(a) = 525*a - 63. Let k(y) = 63*d(y) + 5*p(y). Determine k(s(t)).
21*t
Let c(m) = -m. Suppose 0 = 2*u - 6*u - 20. Let q(z) = 2*z**2 - 5*z. Let x(a) = u*c(a) + q(a). Let p(r) be the first derivative of 2*r**2 - 91. What is x(p(w))?
32*w**2
Let r(m) = 8*m**2 - 4*m + 2. Let t(b) = -27*b**2 + 14*b - 7. Let k(u) = 7*r(u) + 2*t(u). Let z(w) = 19*w - 4. Determine z(k(j)).
38*j**2 - 4
Let p(s) be the third derivative of -s**4/12 + 374*s**2. Let z(c) = -107*c**2 + c. Give p(z(w)).
214*w**2 - 2*w
Let d(p) = 21*p. Let j(l) = -13*l**2 - 7*l. Let z(f) be the first derivative of 4*f**3/3 + f**2 + 8. Let g(r) = 2*j(r) + 7*z(r). Give g(d(m)).
882*m**2
Let j(c) = -10*c**2. Let z(m) = 27163*m**2 - 3. Calculate z(j(w)).
2716300*w**4 - 3
Let w(t) be the first derivative of 10*t**2 + 23*t**2 + 57 + 17*t**2. Let h(d) = -d**2. Calculate h(w(g)).
-10000*g**2
Let x(p) be the first derivative of p**6/360 - 13*p**3/3 - 15. Let d(b) be the third derivative of x(b). Let c(g) = -12*g. Determine c(d(w)).
-12*w**2
Suppose -5*j - 39 = -49. Let w(f) = 28*f**2 - 10*f**2 - 6*f**2 - 11*f**j. Let o(s) be the third derivative of s**5/30 + s**2. Calculate o(w(u)).
2*u**4
Let g(u) = 3*u**2. Let f(c) = 40872*c. Determine g(f(o)).
5011561152*o**2
Let z(t) = -7*t**2. Let o(x) = 473 + 9*x**2 - 242 - 231. Give o(z(g)).
441*g**4
Let p(l) = 2*l**2. Let w(u) be the second derivative of 16*u**3 - 16*u**3 - u**4 - 13*u. Calculate w(p(k)).
-48*k**4
Let h be 1 - (5 - 2) - -6. Suppose 4*b - 104 = -4*v - 0, h = -b + 5*v. Let m(o) = 21*o - b*o - 3*o**2. Let q(i) = 2*i**2. Determine q(m(a)).
18*a**4
Let c(l) = -2829*l. Let j(f) = -4*f**2. What is j(c(o))?
-32012964*o**2
Let y(z) = -z**2. Let j(s) = -21*s**2 + 7*s - 7*s + 32 - 26. Let h(g) = 1. Suppose 2*o = -2*o + 24. Let d(u) = o*h(u) - j(u). What is d(y(m))?
21*m**4
Let d(t) = 7*t**2. Let s(c) be the third derivative of 7*c**6/720 + c**4/2 - 15*c**2. Let o(m) be the second derivative of s(m). Determine d(o(x)).
343*x**2
Let i(q) = 2*q + 2*q + 0*q. Let u(a) be the second derivative of a**7/1260 + a**4/3 + 6*a. Let m(g) be the third derivative of u(g). Give m(i(h)).
32*h**2
Let x(z) = 45*z - 18. Let w(f) = 2*f**2 + 166. Determine x(w(d)).
90*d**2 + 7452
Let b(j) = 6646*j - 5. Let a(y) = 2*y**2. Determine b(a(k)).
13292*k**2 - 5
Let l(n) = -83*n. Let j(d) = 422*d. Let z(h) = -2*j(h) - 11*l(h). Let g(c) = -6*c**2. What is g(z(p))?
-28566*p**2
Let g = 47 + -32. Let p be (50/g)/((-2)/(-3)). Let j(l) = p*l + 2*l - 5*l. Let t(v) = v**2. Give t(j(z)).
4*z**2
Let l(z) = 2*z + 1 - 1. Let f(k) be the second derivative of 0*k**2 + 1/3*k**4 + 0*k**3 + 13*k + 0. Give l(f(v)).
8*v**2
Suppose 2*b + 3 = -9. Let m be (b/(-1 + -2))/1. Let v(s) = 3*s - m*s - 3*s. Let h(r) = -r. Give v(h(p)).
2*p
Let v(j) = -10*j**2. Let g = 44 - 26. Let d(q) = 15*q**2 - 36*q**2 + g*q**2. What is v(d(o))?
-90*o**4
Let b(s) be the third derivative of -3*s**5/10 - 8*s**2. Let y = 14 - 11. Let f(w) = -y*w + 4*w + 0*w. What is f(b(r))?
-18*r**2
Let r(b) = -b. Let o(m) = 2808*m + 6. Give r(o(q)).
-2808*q - 6
Let t(z) be the second derivative of z**7/2520 - 17*z**4/12 + 14*z. Let p(x) be the third derivative of t(x). Let b(w) = -12*w. Give b(p(j)).
-12*j**2
Let p(b) = 3*b - 10. Let g(j) = -30*j + 96. Let k(x) = -5*g(x) - 48*p(x). Let l(s) = 3*s. Give l(k(f)).
18*f
Suppose -5*f + 31 = -9. Let o(i) = i + f - 2 - 6. Let v(a) = 2*a. Calculate o(v(t)).
2*t
Let v(c) = 33*c**2. Suppose 10 = -2*s + 92. Let b(q) = 45*q**2 + s*q**2 - 88*q**2. Calculate b(v(a)).
-2178*a**4
Let j(t) = -258*t + 528*t - 266*t. Let x(m) = 4*m**2 - 2*m. Give j(x(u)).
16*u**2 - 8*u
Let g(d) = -11*d**2 - 7*d + 7. Let p(z) = -5*z**2 - 3*z + 3. Let u(s) = 3*g(s) - 7*p(s). Let o(l) = -10*l - 3*l + l. Give o(u(f)).
-24*f**2
Let r(p) = 1 - 1 + 3*p. Let v = 91 + -66. Let m(w) = 53*w - 23*w - v*w. Calculate r(m(b)).
15*b
Let x(m) = -m**2. Let l(g) = -45*g**2 + 31*g**2 + 2*g + 19*g**2. Give x(l(u)).
-25*u**4 - 20*u**3 - 4*u**2
Let p(b) = b. Let k(v) be the third derivative of -47*v**5/30 + v**3/6 + 72*v**2. What is p(k(t))?
-94*t**2 + 1
Let l(d) = -2*d**2. Let m(y) = 20*y. Let b(u) = -517*u. Let j(q) = -3*b(q) - 77*m(q). Give l(j(h)).
-242*h**2
Let w(q) = 20*q**2 + 17*q**2 + 11*q**2 - 60*q**2 + 13*q**2. Let b(x) = -x**2 + 49*x. Calculate b(w(a)).
-a**4 + 49*a**2
Let y(f) = 17*f. Let h(p) = 66*p**2 + 2. Gi | {
"pile_set_name": "DM Mathematics"
} |
r 5:26 AM?
1:38 PM
What is 715 minutes after 8:08 AM?
8:03 PM
What is 707 minutes before 11:07 AM?
11:20 PM
How many minutes are there between 1:17 PM and 8:02 PM?
405
How many minutes are there between 5:13 PM and 9:09 PM?
236
What is 697 minutes before 7:13 AM?
7:36 PM
What is 264 minutes after 10:29 PM?
2:53 AM
How many minutes are there between 10:58 PM and 7:06 AM?
488
What is 391 minutes before 5:51 PM?
11:20 AM
What is 298 minutes after 2:08 PM?
7:06 PM
What is 463 minutes after 8:26 AM?
4:09 PM
How many minutes are there between 1:27 AM and 7:12 AM?
345
How many minutes are there between 6:18 PM and 1:22 AM?
424
How many minutes are there between 4:26 PM and 12:36 AM?
490
What is 400 minutes after 8:58 PM?
3:38 AM
How many minutes are there between 2:16 AM and 8:56 AM?
400
What is 153 minutes after 4:27 PM?
7:00 PM
What is 126 minutes after 5:45 AM?
7:51 AM
What is 636 minutes before 8:21 AM?
9:45 PM
What is 703 minutes before 4:16 PM?
4:33 AM
How many minutes are there between 1:30 PM and 10:15 PM?
525
What is 419 minutes after 5:29 AM?
12:28 PM
How many minutes are there between 10:07 PM and 4:55 AM?
408
How many minutes are there between 7:25 PM and 11:25 PM?
240
How many minutes are there between 4:45 AM and 9:11 AM?
266
What is 439 minutes before 11:11 AM?
3:52 AM
How many minutes are there between 3:59 PM and 3:45 AM?
706
How many minutes are there between 11:13 PM and 3:11 AM?
238
What is 564 minutes before 1:00 PM?
3:36 AM
What is 171 minutes after 8:23 AM?
11:14 AM
How many minutes are there between 3:50 AM and 11:00 AM?
430
What is 300 minutes before 11:33 PM?
6:33 PM
How many minutes are there between 6:12 AM and 2:39 PM?
507
What is 317 minutes before 2:49 PM?
9:32 AM
How many minutes are there between 2:31 AM and 2:41 AM?
10
What is 430 minutes after 5:27 PM?
12:37 AM
What is 676 minutes before 12:20 AM?
1:04 PM
How many minutes are there between 1:32 AM and 6:41 AM?
309
How many minutes are there between 11:19 PM and 5:44 AM?
385
How many minutes are there between 10:01 AM and 4:55 PM?
414
How many minutes are there between 8:05 AM and 3:17 PM?
432
How many minutes are there between 6:06 AM and 10:32 AM?
266
How many minutes are there between 3:03 PM and 3:22 PM?
19
How many minutes are there between 12:31 AM and 2:32 AM?
121
What is 665 minutes before 11:28 PM?
12:23 PM
How many minutes are there between 1:05 AM and 6:07 AM?
302
How many minutes are there between 4:33 AM and 4:21 PM?
708
How many minutes are there between 3:26 PM and 4:55 PM?
89
How many minutes are there between 2:44 AM and 12:12 PM?
568
How many minutes are there between 12:39 AM and 12:07 PM?
688
How many minutes are there between 3:34 PM and 3:23 AM?
709
What is 463 minutes after 12:28 PM?
8:11 PM
How many minutes are there between 9:32 AM and 11:44 AM?
132
What is 504 minutes after 2:32 PM?
10:56 PM
How many minutes are there between 11:00 AM and 1:01 PM?
121
What is 44 minutes after 5:12 AM?
5:56 AM
What is 552 minutes after 3:35 AM?
12:47 PM
How many minutes are there between 1:54 PM and 1:37 AM?
703
What is 539 minutes before 11:41 AM?
2:42 AM
What is 89 minutes after 7:47 PM?
9:16 PM
How many minutes are there between 7:59 PM and 8:13 PM?
14
How many minutes are there between 3:12 PM and 8:40 PM?
328
What is 184 minutes after 7:20 PM?
10:24 PM
What is 496 minutes before 10:58 AM?
2:42 AM
What is 204 minutes before 9:24 PM?
6:00 PM
What is 293 minutes before 5:57 PM?
1:04 PM
What is 289 minutes after 3:00 AM?
7:49 AM
How many minutes are there between 6:15 AM and 1:14 PM?
419
What is 296 minutes after 1:15 AM?
6:11 AM
How many minutes are there between 2:00 AM and 5:04 AM?
184
What is 252 minutes after 4:46 PM?
8:58 PM
What is 238 minutes after 11:06 AM?
3:04 PM
What is 158 minutes after 7:12 PM?
9:50 PM
How many minutes are there between 11:29 AM and 2:04 PM?
155
How many minutes are there between 8:09 AM and 1:26 PM?
317
What is 323 minutes after 6:45 AM?
12:08 PM
What is 209 minutes before 11:17 PM?
7:48 PM
What is 185 minutes after 8:15 AM?
11:20 AM
What is 355 minutes before 2:53 AM?
8:58 PM
How many minutes are there between 11:01 PM and 10:11 AM?
670
What is 175 minutes after 12:23 PM?
3:18 PM
What is 159 minutes before 2:24 PM?
11:45 AM
What is 709 minutes after 2:22 PM?
2:11 AM
How many minutes are there between 1:16 PM and 9:17 PM?
481
What is 127 minutes after 12:37 AM?
2:44 AM
What is 130 minutes after 3:34 PM?
5:44 PM
How many minutes are there between 8:08 AM and 11:30 AM?
202
How many minutes are there between 8:08 AM and 11:19 AM?
191
How many minutes are there between 10:40 AM and 9:43 PM?
663
What is 502 minutes before 7:12 PM?
10:50 AM
How many minutes are there between 2:02 AM and 1:23 PM?
681
How many minutes are there between 5:48 AM and 6:21 AM?
33
How many minutes are there between 12:01 PM and 4:52 PM?
291
How many minutes are there between 1:24 PM and 3:59 PM?
155
How many minutes are there between 1:52 PM and 8:05 PM?
373
What is 462 minutes before 3:43 PM?
8:01 AM
How many minutes are there between 8:39 AM and 11:13 AM?
154
What is 9 minutes before 10:36 PM?
10:27 PM
How many minutes are there between 11:50 PM and 2:19 AM?
149
What is 691 minutes after 10:01 PM?
9:32 AM
How many minutes are there between 1:04 AM and 6:41 AM?
337
What is 320 minutes after 8:30 PM?
1:50 AM
What is 664 minutes after 5:20 PM?
4:24 AM
What is 538 minutes before 12:26 AM?
3:28 PM
How many minutes are there between 8:31 PM and 6:41 AM?
610
What is 6 minutes before 5:16 PM?
5:10 PM
How many minutes are there between 10:46 PM and 5:17 AM?
391
How many minutes are there between 9:55 PM and 9:35 AM?
700
What is 128 minutes after 11:47 PM?
1:55 AM
What is 592 minutes after 8:50 AM?
6:42 PM
What is 587 minutes before 1:14 PM?
3:27 AM
How many minutes are there between 5:27 PM and 7:11 PM?
104
What is 547 minutes before 8:12 PM?
11:05 AM
What is 612 minutes after 2:42 AM?
12:54 PM
What is 493 minutes after 5:02 AM?
1:15 PM
How many minutes are there between 12:34 AM and 9:20 AM?
526
What is 153 minutes after 12:52 AM?
3:25 AM
How many minutes are there between 1:26 AM and 7:37 AM?
371
What is 345 minutes before 12:44 PM?
6:59 AM
What is 595 minutes before 5:11 PM?
7:16 AM
What is 657 minutes before 4:16 AM?
5:19 PM
How many minutes are there between 5:45 AM and 5:56 AM?
11
How many minutes are there between 10:52 PM and 10:37 AM?
705
What is 514 minutes before 9:47 AM?
1:13 AM
What is 643 minutes before 9:57 PM?
11:14 AM
What is 337 minutes before 11:31 PM?
5:54 PM
How many minutes are there between 5:18 PM and 2:10 AM?
532
What is 77 minutes after 7:01 AM?
8:18 AM
What is 707 minutes after 1:20 AM?
1:07 PM
What is 587 minutes after 2:23 AM?
12:10 PM
What is 719 minutes after 5:22 AM?
5:21 PM
How many minutes are there between 4:56 PM and 4:29 AM?
693
What is 573 minutes after 2:10 AM?
11:43 AM
What is 102 minutes before 7:03 AM?
5:21 AM
What is 303 minutes before 9:04 AM?
4:01 AM
How many minutes are there between 12:48 AM and 1:00 AM?
12
What is 305 minutes before 5:10 AM?
12:05 AM
What is 617 minutes after 6:28 AM?
4:45 PM
What is 557 minutes after 1:07 AM?
10:24 AM
What is 345 minutes after 12:06 AM?
5:51 AM
How many minutes are there between 7:28 AM and 6:59 PM?
691
What is 353 minutes after 4:01 PM?
9:54 PM
How many minutes are there between 2:28 PM and 11:31 PM?
543
What is 676 minutes before 10:26 AM?
11:10 PM
How many minutes are there between 11:44 PM and 1:12 AM?
88
How many minutes are there between 10:11 AM and 4:11 PM?
360
How many minutes are there between 11:01 PM and 4:14 AM?
313
How many minutes are there between 7:51 PM and 7:53 PM?
2
How many minutes are there between 2:04 AM and 3:26 AM?
82
What is 710 minutes before 3:06 PM?
3:16 AM
How many minutes are there between 9:09 PM and 9:23 PM?
14
How many minutes are there between 6:51 AM and 2:14 PM?
443
What is 323 minutes after 7:15 PM?
12:38 AM
How many minutes are there between 4:33 AM and 1:31 PM?
538
What is 251 minutes before 12:16 PM?
8:05 AM
How many minutes are there between 8:17 AM and 6:02 PM?
585
What is 607 minutes after 3:27 AM?
1:34 PM
How many minutes are there between 3:02 PM and 5:31 PM?
149
What is 111 minutes after 6:25 AM?
8:16 AM
What is 639 minutes befor | {
"pile_set_name": "DM Mathematics"
} |
-1? (a) s (b) l (c) 1
b
Let y = -90.81 - -90. Let j = 0.81 + y. Which is the nearest to -0.09? (a) j (b) -4 (c) -2/7
a
Let v = -4815 - -4816. Let s = 0.24 + 0.16. Which is the closest to -2/3? (a) 3/7 (b) v (c) s
c
Let u = -4.9823 - 0.0177. Suppose 6*n - 2*n = 4*w - 36, -n - 5*w + 21 = 0. Let h be (-4)/(-132 - 4)*n. Which is the closest to -3/5? (a) h (b) u (c) 3
a
Let w = -0.99 + -0.01. Let t be 14 + (-2 - (-34)/10)/(119/(-595)). Which is the nearest to w? (a) -0.3 (b) 1/8 (c) t (d) 5
a
Let u = -0.6 - -3.6. Let a = 4.9212 - 4.9712. What is the closest to a in -2, 0.5, u?
0.5
Let t = -109469/6 - -18193. Let w = 52 + t. Which is the closest to -1? (a) -7 (b) w (c) -5
b
Let r = 0.08 - 3.08. Let a be (-76)/105 + 182/3185. What is the closest to r in -1, a, -4?
-4
Let g be 1 + 5 - ((-6534)/189 - -41). Which is the closest to -4? (a) g (b) 2/5 (c) 0.3 (d) -0.06
a
Let r = 5611 + -5611.2. What is the closest to 13 in -44, -1, r?
r
Let v be 184*31/1736 - (0 + 4/14). Let q(h) = -h - 1. Let u be q(-2). Which is the nearest to -6? (a) v (b) u (c) -2
c
Let z = -3.73 + 3.73. Which is the nearest to -1? (a) -0.4 (b) z (c) 1 (d) -4/3
d
Let n = -1780 - -1780.1. What is the closest to n in -5, -11, -2/5, 2/11?
2/11
Let s(k) = -k**2 + 6*k + 4. Let y be s(7). Let q = 12926 - 12926.1. Which is the closest to -0.1? (a) q (b) 0.04 (c) y
a
Suppose -4607 + 4543 = -8*a. What is the nearest to 1/2 in 0.4, a, 7?
0.4
Let c(b) = -46*b - 1653. Let o be c(-36). What is the closest to 2 in -1/6, o, -0.5, 6?
o
Suppose 925*m + 20 = 930*m. Suppose -g - 4*l - 10 = 0, -8*g - 18 = -11*g + m*l. What is the nearest to 4 in 2/5, -4, g, 8?
g
Let h = -0.5305 - -0.53. Let k = -0.1005 - h. Let i = -2 - -2. Which is the nearest to i? (a) -3/2 (b) k (c) -0.2
b
Let f = 0.113 - -77.887. Let q = f + -81. Let w(u) = -u**3 - 2*u**2 - u. Let l be w(-2). What is the nearest to l in -3/8, -0.3, q?
-0.3
Suppose -1497 = 4*n - 1481. Let i = -1.38 + 1.3. What is the nearest to 1 in i, -1, n?
i
Let k be (17 + 11619/(-684))/((-1)/4). What is the nearest to 0.1 in k, -1/3, 22?
k
Let f = -0.04 - -0.34. Let m(j) = -j**3 + 6*j**2 - 30. Let y be m(4). Suppose -y*p + 3 - 3 = 0. Which is the nearest to -1/2? (a) p (b) f (c) 1/7
a
Let h = -0.1 + -5.9. Let d = -68710.85 - -68711. Which is the closest to h? (a) -0.5 (b) d (c) 1/8
a
Let m = -556.1 - -556.1. What is the nearest to m in -0.003, 4, -2?
-0.003
Let s = -184 + 193.9. Let d = 9.9 - s. Let m = -4 - -4.4. Which is the closest to 0.1? (a) 4 (b) m (c) d
c
Let f = 6 + -3. Let y be 4 - (1 + 0)*(-3840)/(-896). Which is the nearest to -1/4? (a) f (b) y (c) 1
b
Let s = -1.1 - -1.2. Let t = 8816 + -8816. Which is the nearest to t? (a) 1/3 (b) s (c) 2/11
b
Let v be (0/8 + 3)*1/24*6. Which is the nearest to 3.1? (a) v (b) 19 (c) 4
c
Let w = -0.631 - 0.069. Let z = 0.4379 - 0.2379. Which is the closest to z? (a) w (b) 3 (c) 4
a
Let n be (2/(-3))/(25 - 23). Which is the closest to 2? (a) -33.2 (b) -0.5 (c) n
c
Let c = 3 + -3.5. Let p = 254 - 77. Let m = p + -174. What is the closest to -2 in -0.2, m, c?
c
Let q = 26160/7 - 3737. Which is the nearest to 405? (a) q (b) 0.2 (c) 1/3 (d) 3/7
d
Let h = 0.063 + -0.163. Suppose 0*t - u + 3 = 4*t, -5*t + 6 = 2*u. Which is the closest to -3? (a) 1 (b) h (c) t (d) -1
d
Let t = -45408 + 227043/5. Suppose 0 = -5*r + 5 + 10. What is the nearest to -1 in r, t, -11?
t
Let y = 29.5 + 9. Let n = 0.5 - y. Let g = -37.6 - n. What is the nearest to 0.4 in 1, 2, g?
g
Suppose 0 = 2*h + 2*h + 440. Let u be 20/h + (-700)/22. Let r be 8/u - (-15)/(-36). Which is the nearest to r? (a) -3 (b) -5 (c) 0
c
Let y = 2738.7 + -2742.7. Which is the closest to -4? (a) 3 (b) y (c) 40
b
Let q = -10131.1 + 10131. What is the nearest to 73 in q, -0.4, -1/3?
q
Let v = -0.51854 - -0.11854. Which is the closest to v? (a) 5 (b) -3/8 (c) 17 (d) 4
b
Let b = -575.235 + 1.235. Let s = 597 + b. What is the closest to 1 in s, -0.1, -2, 0.3?
0.3
Suppose -35*t + 9 = 36*t - 62*t. Let v be (-15)/2*4/(-40). Which is the nearest to t? (a) -2/5 (b) -0.2 (c) v
c
Let b = -764 - -767. Let t be (-7 - -3) + (5 - (b - 3)). What is the closest to t in 0.4, 40, 1?
1
Let i = -1555/6 - -4505/18. Let q = i + 554/63. Let v = 27 - 80/3. Which is the nearest to v? (a) 4/3 (b) -1/4 (c) q
c
Let m be 6/((-6 - -9)*(-11)/(-22)). Which is the closest to 0.3? (a) 0.06 (b) m (c) 0.6 (d) -5
a
Let r = 18227 + -18218. What is the closest to -2/9 in 4, 4/7, -2, r?
4/7
Let t = -13 - -10. Let p = -4119 - -4119.4. Which is the closest to t? (a) -1 (b) p (c) 0.3
a
Let r be (6/5)/(-1) + (666/90 - 6). Which is the closest to 61? (a) 0 (b) r (c) -0.2 (d) 0.5
d
Let u = -202.89 - -202.49. Let l = -13 - -12.99. Which is the nearest to 2/33? (a) l (b) u (c) -3
a
Let q = 44634 + -44639. What is the nearest to 7 in -0.125, -1, q?
-0.125
Let h = -161.45 - -3.45. Let l = h - -162. What is the nearest to l in 5, 2, -0.1?
5
Let h be 5 + 3/(-1) + 0/(-4). Let q be (-2 - 2648/(-10)) + (-7 - -4). Let o = -259 + q. What is the nearest to -0.2 in o, 7, h?
o
Let i = -82.5 - -294.8. Let o = 212 - i. Which is the nearest to 2? (a) o (b) 2/27 (c) 1
c
Let u = -6/25 + 23/200. Let k = -47.2 + 44. Let o = k + 3.2. What is the nearest to -2 in -6, u, o?
u
Let o = -39575 + 39550. Which is the nearest to -4/15? (a) -0.1 (b) -3 (c) o
a
Let w = -21 + 23. Suppose 4*g - w*g = 6. Let a = -592/6279 - -2/273. What is the closest to a in g, 5, -2?
-2
Let n = -9 - -11. Let f be (-15)/(-4) + ((-35)/(-20))/7. Suppose -f - 2 = 3*h. Which is the closest to 0.1? (a) 6 (b) n (c) h
b
Let l be (((-1276)/29)/88)/((-1)/1). Which is the closest to l? (a) -0.24 (b) -2/9 (c) -2
b
Let y = -39 + 37. Suppose 4 = -2*q - q + 5*d, -5*q = 5*d + 20. Let h be 4/18*7/(14/q). Which is the closest to h? (a) -4 (b) 4/5 (c) y
b
Let x = -176/3 - -60. Let a = -84.113 + 84. Let l = a - -0.413. What is the closest to 0.2 in l, x, 3?
l
Let u = -54 - -45. Let g = u + 7. Let x = -4.3 - -4. What is the nearest to -2 in 2/7, g, x?
g
Let x = 101/185 + 2/37. Let n = -4.3 + -46.7. Let k = n - -50.9. What is the nearest to k in -0.3, x, 4?
-0.3
Let r = -414.7 - -415. Let s be (-9)/(27/(-6)) + 14/(-6). What is the nearest to s in 1/4, 2/7, r?
1/4
Let s be (-12)/5*(1 - -23)/24. What is the nearest to -1 in 1/2, s, -0.2, -0.1?
-0.2
Let j = -1/720 - 431/720. Let l = -0.043 + 0.143. What is the closest to l in 0.5, j, -5, -8?
0.5
Let d = 7.406 - 7.376. What is the nearest to 1 in 5, -6, d?
d
Let n = -2296.5 - -2296. Which is the closest to -0.2? (a) 2/29 (b) n (c) -2/5 (d) 4
c
Let a be (3 + -12 - -9)/6. What is the closest to a in 2, -0.06, -0.5?
-0.06
Suppose -2*h + w + 158 = 158, 4*h + 5*w = 0. Which is the nearest to -2? (a) 2/5 (b) -4/143 (c) h (d) 4
b
Let m = 290.42 - 290.92. What is the nearest to -1/6 in m, 0.2, 1/3, 0.4?
m
Suppose 0 = -5*s - g + 127, 0*s + 2*s - 3*g = 61. Let m = -11633/46468 - -4/11617. What is the closest to -1 in 2, m, s?
m
Let x(o) = -4*o**2 - 35*o + 11. Let z be x(-9). Let l be (-8)/(-8) - (z + -4). What is the closest to 0.14 in 0.1, l, -0.4?
0.1
Let y = -682 - -699. Which is the closest to y? (a) -4 (b) -9 (c) -1
c
Let q be (1/2)/(39/(-6) + 6)*1. Which is the closest to q? (a) -0.77 (b) -1/4 (c) -2/5
a
Let d be 19669/(-255) - (-4)/30. Let x be ((-22)/d)/(12/14). Let b = 328/187 + -18/11. What is the closest to -0.2 in b, -0.4, x?
-0.4
Let u be (-64)/(-560)*(-6 + (-76)/(-8)). Which is the nearest to -0.1? (a) -0.06 (b) u (c) 2 (d) -3
a
Let x = -8285 - -8284.988. Which is the nearest to -1? (a) 0 (b) x (c) 2
b
Let y be 5/33 + 3/(-9). Suppose 3*p + 4*a + 5 = 0, 0 = p - 6*a + 11*a - 2. What is the nearest to -2 in 2/9, 3, y, p?
p
Let m = 0.1 + 0. Let z = 28.4 - -152.5. Let o = z - 181. Which is the closest to o? (a) -1 (b) 0.05 (c) m
b
Let q = 6047.3 + -6047. Which is the nearest to -1/4? (a) 1/5 (b) 0.22 (c) q (d) -1/5
d
Let m = 22004 + -22000. What is the closest to -258 in 2/5, m, -2/13?
-2/13
Let n = -27/124 + -1/31. Let w = 139.1 + -138.9. Which is the closest to -2/31? (a) w (b) n (c) 4
b
Let m = 262.7 - 262.7. Which is the closest to m? (a) -0.1 (b) -1/4 (c) -14/5
a
Let n = -11437/4 - -2859. Which is | {
"pile_set_name": "DM Mathematics"
} |
- 2*t - 4 + 4 + (-3*t - 3*t + 4*t)*(2 - 5 + 1) - 2*t + 3*t - 2*t in the form w + y*t and give y.
-447
Express -86*h**3 + 78*h**3 - 47 + 57 as g*h + a*h**3 + w + x*h**2 and give w.
10
Express 1029*k**2 - k**3 - 2*k - 67 - 1029*k**2 - 2*k**4 in the form r + g*k**2 + m*k**4 + x*k + p*k**3 and give x.
-2
Rearrange -2*s + 5*s - 2*s + 2*s + 0 + 0 + (0*s - 2*s + s)*(0 + 1 - 3) - 995 + 991 + 2*s + 8*s to the form c*s + m and give c.
15
Express -429*w**3 + 186*w**3 - 2*w + 4 + 259*w**3 + w**2 in the form u*w + n*w**3 + k*w**2 + b and give n.
16
Rearrange 12*z**2 + 5*z**2 - 3 + 12*z**2 to o*z**2 + a + k*z and give o.
29
Rearrange -5*y + 149*y**2 + 4*y + 503*y**2 to the form v*y**2 + u*y + a and give v.
652
Rearrange 8 + 4*m**2 - 2*m + 8*m**3 + 5*m**3 - 2 - 15*m**3 to the form h*m**2 + w + l*m**3 + r*m and give r.
-2
Express -3*n**4 + 9 - 3*n**3 + 10*n**4 + n - 8 + n**3 in the form s*n**3 + l*n**4 + f*n**2 + t + a*n and give t.
1
Rearrange -5 + 103*y + 3 + 401*y + 300*y to l*y + p and give p.
-2
Rearrange 2*n - 89*n**2 + 3*n**3 + 88*n**2 - 7 - 5 to the form c*n + r + a*n**3 + s*n**2 and give c.
2
Express (2 - 1 + 1)*(0 + 3 + 2)*(11*b + 4*b + 0*b) in the form x*b + v and give x.
150
Express -24*v**2 + 439 - 439 in the form w*v**2 + x*v + t and give t.
0
Rearrange g**3 - 11*g - 4*g + 5*g - 12 - 5*g to the form b*g**2 + x*g + h*g**3 + l and give h.
1
Rearrange 0*q + 4*q - 6*q + 2*q + 0 + 0 + (3*q - 4*q + 3*q)*(0 + 3 - 1) - 5*q + 5*q - q + 26*q - 1 + 0 - 33*q to p*q + y and give y.
-1
Express -57*i**2 - 2 - 41*i**2 + 2*i**4 - 35*i**2 - 2*i**3 + i + 99*i**2 as a*i**3 + s*i**2 + c*i + o*i**4 + f and give o.
2
Express -4*w + w - 4*w + (2 + 7*w + 3 - 2*w)*(-3 + 3 + 1)*(3 - 7 + 3) in the form m*w + z and give m.
-12
Express -7 + 3 + 7 + 0*d + d + 14 as m*d + w and give w.
17
Express (3*v + 3*v - 4*v + (-1 + 7 - 4)*(-3*v + 4*v - 3*v) + 2 - v + 5*v - 7*v)*(-68 + 108 - 85) in the form h + x*v and give h.
-90
Express -307*n**2 + 307*n**2 + 4*n**3 - 3*n**4 - 2*n**3 - 10*n in the form c + h*n**3 + x*n**4 + g*n**2 + k*n and give h.
2
Express (2 - 3*m - 2)*((m - 3 + 3)*(1 - 2 - 1) - 82*m + 143*m - 87*m) as n + a*m + g*m**2 and give g.
84
Rearrange 4 + 4*p**3 + 5 - 2*p**3 + 2*p**4 + 6 + p to n*p + v*p**2 + c*p**3 + m + f*p**4 and give f.
2
Express -116*h - 34*h - 169*h + 33*h - 7*h in the form u + g*h and give g.
-293
Rearrange (7 - 2 - 1)*(-68 + 161 + 13*k - 91) to p + o*k and give o.
52
Express 711*l**3 + 2*l - l - 883*l**3 in the form f + w*l**2 + m*l**3 + k*l and give m.
-172
Rearrange -8 + 3 + 55*b + 6 + 0 - 3*b to l + s*b and give s.
52
Rearrange (8*f + 56*f + 272*f**2 - 262*f**2)*(-f + 3 - 3) + 4*f**3 - 3*f**3 - 3*f**3 to p*f + k*f**3 + c + w*f**2 and give w.
-64
Express (-191*t**3 + 33310 - 33310)*(-3*t - 4*t + 5*t) + 2*t**4 + 2*t - 4*t**4 + 0*t**4 in the form a + z*t**2 + v*t + k*t**3 + y*t**4 and give k.
0
Rearrange -19 - 5*x + 6 + 14 to the form n + i*x and give i.
-5
Express (-1480*u - 2 + 1829*u + 2)*(4 - 3 + 0) + 0 + 0 - 2*u in the form l + o*u and give o.
347
Rearrange 20*u**3 - 39*u**3 + 3*u - 2*u**2 + 31*u + 21*u**3 to the form w + y*u**3 + h*u**2 + f*u and give y.
2
Rearrange -24 + 12*x**2 + 6*x**3 + 24 + 5*x**3 to q*x**2 + b + n*x + p*x**3 and give p.
11
Rearrange 249 - 6*r**3 + 4*r**3 - 2228*r**2 + 2230*r**2 to d*r**2 + m*r**3 + y*r + n and give n.
249
Rearrange ((4 + 0 + 1)*(3*g - 2*g + 0*g) - 3 - 3*g + 3 + (-2 + 0 + 1)*(-2*g + 3*g - 2*g))*(-1 + 1 + g) to r + o*g + k*g**2 and give o.
0
Express 6*j**3 - 5*j**3 + 4*j**3 + (2*j + 2*j - 3*j)*(26*j**2 + 3 + 86*j - 136*j**2 + 113*j**2) in the form i*j**2 + l*j + o + f*j**3 and give l.
3
Rearrange 19*h + 3*h**2 - 14*h - 55*h**3 - 3*h**2 to m*h**3 + j*h**2 + u*h + z and give u.
5
Rearrange (2*l**2 - l**2 - 2*l**2)*(-2 + 4 - 3 + (0 - 3 + 1)*(5 + 6 - 7)) to the form r + n*l**2 + p*l and give n.
9
Rearrange -59050 + 9*q + 18*q + 59050 to the form p + x*q and give x.
27
Express 595 - 146 - 149 - 149 - 140 + 7*m in the form t*m + g and give g.
11
Express -88*p**3 + 86*p**3 + 59*p**2 + 6*p**2 + 22*p**2 in the form f*p + n*p**3 + b*p**2 + a and give b.
87
Rearrange (1 + 1 + 2)*(16 - 16 - 17*l)*(4*l - l - 5*l)*(3 + 0 - 4) to the form g*l + s*l**2 + q and give q.
0
Express 40 - 27*l**2 - 69 + 42 + 8*l + 28*l**2 + 3*l**3 in the form c + o*l**3 + d*l + m*l**2 and give c.
13
Rearrange (2*f + 2*f - 3*f)*(-44*f + 58*f + 100*f) to the form j*f**2 + v + n*f and give j.
114
Rearrange ((-1 + 2*v + 1)*(-1 - 2*v + 1) - 3*v + v**2 + 3*v - 5*v - v**2 + 5*v)*(-v - 5*v + 46*v) to the form g*v**3 + m + q*v**2 + f*v and give g.
-160
Express (-6*v + 3*v + 17*v)*(-2*v - 3 + 3)*(5 + 1 - 1) as y + t*v**2 + g*v and give t.
-140
Rearrange 4*z - 9 - z**2 + 3*z**3 + 7 + 33*z + 0*z**2 to s*z + h*z**3 + a*z**2 + m and give m.
-2
Rearrange (-4 - 26*r + 3 + 29*r)*(-10*r + 4*r - 5*r) to the form a*r**2 + x*r + l and give x.
11
Rearrange -7*r - 3*r**4 + 4*r + 4*r + (9*r**3 - 12*r**3 + 2*r**3 - 45)*(-2*r - 2*r + 0*r) to t*r**3 + j*r + y*r**4 + m*r**2 + n and give j.
181
Express (2*m - 4*m - 6*m)*(3 - 1 - 1)*(-14 + 14 + m) in the form p*m**2 + h*m + o and give p.
-8
Express 1423*o - 394*o + 1057*o + 278*o + 2*o in the form r*o + m and give r.
2366
Express -1403*t**3 + 61*t**2 + 2810*t**3 - 2*t - 1408*t**3 as y*t**3 + k*t**2 + x*t + l and give k.
61
Express 4*g**3 - 10*g**2 + 164*g**4 - 4*g**3 + 1 + 11*g**2 as r + m*g + i*g**4 + l*g**2 + s*g**3 and give r.
1
Rearrange j + 1297 - 644 - 687 - 3*j**2 - 4*j to b*j + h + k*j**2 and give b.
-3
Rearrange -18*g + 0 + 2*g**2 + 5 - 3*g**3 + 15*g - 7 to the form w*g + x*g**3 + n*g**2 + p and give n.
2
Express -15*t**3 + 15*t**3 - 3*t**2 + t**4 + (-t**3 - t + t)*(-4*t + 10*t + 8*t) as c*t**2 + v + y*t**3 + x*t + n*t**4 and give n.
-13
Rearrange -870 - 870 - 9*b**2 - 372*b**2 + 1742 to the form t + s*b + x*b**2 and give x.
-381
Rearrange (-5*c + 5*c + 6 + c**2)*(-21*c**2 - 34*c**2 + 13*c**2) to the form h*c**2 + a*c + o*c**3 + g*c**4 + l and give g.
-42
Express 20*p**3 - 32*p**3 - 13*p**3 + (-4*p + p + p)*(13*p**2 - 6*p**2 + 6*p**2) as a*p**3 + t + g*p + i*p**2 and give t.
0
Rearrange -425*x**2 + 867*x**2 - 204*x**2 to y*x**2 + j + f*x and give y.
238
Rearrange (-4 + 4 - 2*c)*(-846 - 429 + 239) to the form u + l*c and give l.
2072
Rearrange (-2*o**2 + o - o)*(-5152 + 38*o + 5152)*(-4 - o + 4) to the form d + i*o**4 + z*o + n*o**2 + r*o**3 and give i.
76
Rearrange (0*b + b - 2*b)*((-4 - 1 + 6)*(-2*b - 3*b + 4*b) - b + 5*b - b) + (48 - 9*b - 48)*(-3 - 2*b + 3) to the form l*b**2 + k + j*b and give l.
16
Rearrange (-4*y**2 + 2*y**2 + 0*y**2)*(1 - 2 + 3) - 2656*y**2 + 567*y**2 + 1072*y**2 to m*y + b + f*y**2 and give f.
-1021
Express (2*w - 2*w + 2*w)*(82*w - 62567 + 62567) as o*w**2 + j*w + d and give o.
164
Rearrange (-13 + 16*u + 13)*(-14 + 21 - 3) to i + v*u and give v.
64
Express -19 - 39 + 64 + 12*l**2 as t*l + d*l**2 + w and give t.
0
Rearrange 111*w**3 + 4 + 2 - 5 to o*w**2 + q*w**3 + n*w + s and give q.
111
Express -7*h**2 + 403*h + 7 - 3*h**3 - 9*h**2 - 199*h - 204*h in the form r*h + q*h**2 + f*h**3 + a and give f.
-3
Express -m**3 - 2*m**3 + m**3 + (-6 + 1 + 1)*(0*m**3 + 6*m**3 - 4*m**3) + 4*m**2 - 4*m**2 - 11*m**3 + m as d*m**3 + x*m**2 + c + n*m and give n.
1
Express -11*y + 478*y - 9*y in the form k + f*y and give f.
458
Express -c**4 - 2*c**3 - 2 - 81*c + 3*c**2 + 83*c + 1 as q*c**3 + m*c**4 + z*c + p*c**2 + n and give n.
-1
Rearrange -v**3 - 22*v**4 + 25*v**4 - 4 + 0*v**4 to the form g + p*v + u*v**3 + h*v**4 + n*v**2 and give u.
-1
Rearrange 13*k**3 + 9*k - 9*k - k to t*k**2 + r + x*k**3 + q*k and give x.
13
Rearrange 8*g**2 + 4*g**2 + 5*g - 15*g**2 + (-3*g + g + 0*g)*(4*g + 2*g - 5*g) - 3*g**2 + 2*g**2 - g**2 to d*g**2 + t*g + y and give t.
5
Rearrange 4*m**2 - 2*m**2 - m**2 + (m - 6*m + 4*m)*(-4*m + 0*m + 2*m) + 4*m**2 + 29*m + 7776 - 7777 - m**2 to s*m + x*m**2 + l and give l.
-1
Express 4*q**3 - 2*q**3 - q**3 + (-1607 - 263*q**2 + 1607)*((4 + q - 4)*(0 + 2 - 1) + q + 0*q + 2*q) in the form h*q**3 + b*q + x + l*q**2 and give h.
-1051
Rearrange -68*o - 5*o**2 + 38*o + 30*o + 44*o**3 to the form c*o + s*o**2 + b + g*o**3 and give s.
-5
Express 8 + 2 + 1 - 2 + h in the form z*h + i and give i.
9
Express ((-3 + 4 + 0)*(7*h + 2*h + h) + 5*h - 4*h + h)*(-3 + 1 - 3)*(1 - 2 + 0) in the form q*h + p | {
"pile_set_name": "DM Mathematics"
} |
173
What is the next term in 2358777, 4717580, 7076419, 9435312, 11794277, 14153332, 16512495?
18871784
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-6763546
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-11882984
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140259
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-2987215
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-196168
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-5932643
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-33365264
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1520284
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10920
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-14829
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14673
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-13003
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-19125
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11519
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241950
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116762579
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-306329
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-5340
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-11923613
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-4471173
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-11945520
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919
What is the next term in -1270473, -1270472, -1270471?
-1270470
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16343953
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-62585
What is next in 240, 1448, 4182, 9018, 16532, 27300?
41898
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-6791181
What comes next: -14785, -17711, -20637, -23563, -26489, -29415?
-32341
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-358628
What is next in -12858421, -25716848, -38575277, -51433708?
-64292141
What is the next term in 355820623, 711641246, 1067461869, 1423282492, 1779103115, 2134923738?
2490744361
What is next in 1201062, 2402220, 3603382, 4804548, 6005718?
7206892
What is next in -678, 4882, 14154, 27144, 43858, 64302?
88482
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118281
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726328
What is next in 347, 1893, 4383, 7823, 12219?
17577
What is the next term in -1244, -6195, -14682, -26693, -42216, -61239, -83750?
-109737
What comes next: -1564, -2408, -2524, -1900, -524, 1616?
4532
What comes next: 59568, 59483, 59350, 59169, 58940, 58663?
58338
What comes next: 318452570, 636905141, 955357712?
1273810283
What is the next term in -259, -616, -1131, -1738, -2371?
-2964
What is next in -845942, -3383730, -7613380, -13534892, -21148266, -30453502?
-41450600
What is the next term in 1246606513, 1246606512, 1246606511?
1246606510
What comes next: 2704069, 2704087, 2704105, 2704123, 2704141, 2704159?
2704177
What is next in -39980927, -79961851, -119942775?
-159923699
What is the next term in 65528, 80375, 105110, 139727, 184220, 238583, 302810?
376895
What is the next term in -563, -549, -483, -341, -99, 267, 781?
1467
What is next in 5239, 4519, 3813, 3121, 2443?
1779
What comes next: -22952, -46013, -69088, -92183, -115304, -138457, -161648, -184883?
-208168
What comes next: -142003, -284113, -426233, -568369, -710527?
-852713
What is the next term in -9315857, -9315861, -9315865, -9315869?
-9315873
What comes next: -50919529, -101839060, -152758591, -203678122?
-254597653
What is next in 14078929, 14078920, 14078911?
14078902
What is the next term in -6916, -7488, -8046, -8578, -9072, -9516, -9898?
-10206
What is the next term in -66323862, -132647722, -198971582?
-265295442
What is the next term in 588, -1499, -3586, -5673, -7760?
-9847
What is the next term in -3608694, -3608592, -3608438, -3608244, -3608022?
-3607784
What is the next term in 721, -115, -1515, -3479, -6007?
-9099
What is the next term in 951349, 951523, 951711, 951919, 952153, 952419?
952723
What is next in 208102, 832423, 1872960, 3329713, 5202682?
7491867
What is next in 1573835, 1573829, 1573817, 1573799, 1573775, 1573745, 1573709?
1573667
What comes next: -905, -1822, -2785, -3794, -4849, -5950, -7097?
-8290
What comes next: -620, -3954, -12392, -28484, -54780?
-93830
What is next in -15430523, -30861044, -46291565?
-61722086
What is the next term in 57634001, 115268000, 172901999, 230535998, 288169997?
345803996
What is the next term in -123554, -494337, -1112312, -1977479, -3089838, -4449389, -6056132?
-7910067
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1479618
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-2398146
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-1565393
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-11269
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33444
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3758965
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-65405
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-88213229
What comes next: -829019, -829027, -829035, -829043, -829051?
-829059
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27255383
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-37702
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172672
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21071
What is the next term in 1466, 6542, 14992, 26810, 41990?
60526
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-18436
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-18464045
What is next in -258809, -258815, -258821, -258827?
-258833
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-60639
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-2963787
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-41360
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4997957
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-34609737
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-59348
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829368
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-81842690
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57265516
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-154370
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242276
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-1397
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-1560760
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-79764351
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-3780151
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-7962
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7354
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20133
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-10491577
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-22748
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-4899804
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-258961
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44393002
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-67475821
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-638346
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-2276106
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-32389
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-34601126
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12814581
What comes next: 4026, 11753, 23164, 38259, 57038, 79501?
105648
What is next in 4261, 4139 | {
"pile_set_name": "DM Mathematics"
} |
*h + 164. What is the least common multiple of s and 3?
114
Let r be (154/5)/2 - (-10)/(-25). What is the least common multiple of 35 and -3*r/(-9) - -5?
70
Let c(l) = 2*l**3 + 8*l**2 + 12. Let a be c(-6). Let w = -85 - a. Calculate the common denominator of w and 25/2.
2
Let q = -4141 - -4227. What is the smallest common multiple of -3*22/(-3) - 0 and q?
946
Suppose 4*y - 52 = 4*i, 3*i - 5*y = i - 41. Let o = i + 23. What is the lowest common multiple of 1 and o?
15
Let n(v) = v. Let k(r) = -12*r + 3. Let l(o) = k(o) + 9*n(o). Let w be l(2). Find the common denominator of w/(-36)*(-472)/(-4) and -87/8.
24
Let l = -5/6 - -877/48. Let k = l + -123/8. What is the common denominator of k and 137/54?
432
Suppose -m - 2*t = -14, -5*m + 2*t + 0*t = -46. Let n = 15 + -9. Calculate the lowest common multiple of n and m.
30
Let d(l) = -2*l + 6. Let u be d(5). Suppose -2*i - 2*i = -4. What is the lowest common multiple of (-2 - u)/1 + 8 and i?
10
Suppose 3*j - 2*m - 48 = -11, j - 29 = 4*m. What is the smallest common multiple of j and 8/6*(-27)/(-6)?
18
Suppose -2*i + 3*i = 35. Let a be 10/(-25) - 267/(-5). Let t = a - i. What is the smallest common multiple of t and 4?
36
Find the common denominator of 44/27 and (-308)/33*(-4)/88.
297
Suppose -5*s + 94 = -y, 55 = 3*s - 5*y + 3*y. Let q = s + -12. Suppose 3*k - 5*k + 8 = 0. Calculate the lowest common multiple of k and q.
28
Let b = -4042 + 16251/4. Suppose -2*h = 2*h - 12. What is the common denominator of 1/h + 56/9 and b?
36
Let r be (8 + -10)*527/2. Let a = 8429/16 + r. Calculate the common denominator of (-4)/18 + (-436)/72 and a.
144
Suppose 37*s - 1125 = 355. Calculate the least common multiple of s and 22.
440
Suppose -3*d - 2*d = 4*i - 11, -i = -d - 5. Calculate the least common multiple of i and 6*(-66)/(-54)*3/2.
44
Let l(r) = -2*r**3 - 20*r**2 + 43*r - 36. Calculate the smallest common multiple of 28 and l(-12).
168
What is the least common multiple of ((-1465)/3)/((-490)/(-84) - 6) and 16?
23440
Let i = 426624 - 3748745092/8787. Let p = 1080841/87870 + i. Find the common denominator of p and 67/3.
30
Calculate the least common multiple of 147 - 7/(-14)*6 and 12.
300
Let i = -112897/18 + 6279. Find the common denominator of i and ((-2)/8)/((-33)/2486).
18
Let p(k) = -k + 19. Let s be p(-5). What is the common denominator of 27/8 and (-14)/21*149/s?
72
Let a = 95 + -255. What is the common denominator of 3/(-2) + (-54)/(-14) and (4/a)/(2/(-348))?
140
Suppose s = -4*s + 25. Let o = s - 2. Suppose y - 85 = -5*h, o*h + 3*y + 2*y = 73. What is the lowest common multiple of 18 and h?
144
Suppose 3*j = 5*f + 4, 0 = -4*j + f - 4 + 15. Suppose 23 = -j*g - 94. Let x = g - -59. Calculate the smallest common multiple of x and 18.
180
Let d be (0 + 39)*(4 - 3). Suppose -2*b - 16 = 64. Calculate the lowest common multiple of 14 and d/15 - (-24)/b.
14
Let k = 12 - 4. Suppose 0 = 6*o - 837 + 105. Let f = o - 115. What is the lowest common multiple of k and f?
56
Suppose 0 = 3*g + 2*w - 1, -g - 6*w = -2*w - 7. Let i = -1373/66 - -121/6. Find the common denominator of i and g.
11
Let g(f) = -2*f**3 + 25*f**2 + 13*f + 10. What is the least common multiple of g(13) and 116?
580
Let p(l) = -l**3 + 7*l**2 - 9*l + 9. Let x be p(6). What is the common denominator of -73/6 and x/3 - 15/(-6)?
6
Suppose -15*y = y + 64. Find the common denominator of -52/3 and (-3)/y*(-1572)/(-54).
6
Calculate the least common multiple of 87 and (-8)/(-6) + -2 + (-6262)/(-186).
957
What is the common denominator of 97/(-348) + (51/68 - 1) and 34/27?
783
Let h = -64 + 66. Suppose -4*t = -h - 2. Calculate the smallest common multiple of 18 and t.
18
Suppose j + 0 - 4 = 3*k, 2*j - 24 = -2*k. Let u = -8 - -13. Suppose u*n = 8*n - 24. What is the least common multiple of j and n?
40
Let d be (-7 - -3) + 35 + 3. Find the common denominator of -37/18 and (-3)/(132/d) + -3.
198
Let f = 17 + 1. Let z = 61/173 - -11999/2768. Calculate the common denominator of (f/4 - 3) + -4 + -1 and z.
16
Let p = 10239 + -12737317/1244. Let b = 534921929305/115986876516 - 85/31079013. Let o = b + p. Find the common denominator of 17/2 and o.
18
Let z = 34 - 21. Let n = 4 - z. Let d = 27 + n. Calculate the lowest common multiple of 22 and d.
198
Let t(u) be the third derivative of 0*u + 1/2*u**3 + 4*u**2 + 0 - 1/12*u**4. Calculate the smallest common multiple of 9 and t(-3).
9
Calculate the lowest common multiple of -3*(-9)/((-18)/(-164)) and 30.
1230
Let y be (-4)/26 + (-134)/(-26). Suppose b + z - 1 = 0, 0 = y*b - b + 5*z. Suppose -b*p + 2 + 8 = 0. Calculate the least common multiple of p and 8.
8
Suppose 13 = 7*w + 48. What is the least common multiple of 4 + ((-8)/5)/(2/w) and 3?
24
Let h be 1/6 + 406601/78. Let m = -78146/15 + h. What is the common denominator of -79/24 and m?
120
Let w(n) = n**3 + 4*n**2 - 11*n + 11. Let j be w(-6). Suppose -j*h + 22 = 2*c, -3*c - 5*h + 46 = 18. What is the least common multiple of c and 8?
24
What is the common denominator of -19/88 and ((3 + -2)/(-12))/((-10)/(-153))?
440
Calculate the lowest common multiple of (2 + -3 + 547)/2 and 147.
1911
Suppose s = -3*s - 20. Calculate the common denominator of 107/6 and -4 - s - 122/(-8).
12
Suppose 0 = 6*x - 4*x - 42. Let c = 11617 + -11608. What is the least common multiple of c and x?
63
Find the common denominator of 74/135 and 830/(-225)*18/24.
270
Suppose -3*t - 1 = 4*r + 6, 0 = -4*r + t + 13. Let k = r - -2. Suppose -444 - 870 = -72*c + 270. Calculate the smallest common multiple of k and c.
44
Let g(o) = o**3 - 5*o**2 + 6*o - 63. What is the lowest common multiple of g(6) and 117?
117
Let s(a) = -a**3 - 11*a**2 - 10*a + 20. Let u be s(-10). Let i = u - 19. What is the smallest common multiple of 6*(i - (-15)/9) and 10?
80
Suppose 14 = m - 2*q, 4*q + 0*q = -5*m + 14. What is the lowest common multiple of m and 17?
102
Let y be (7 - 401)/(-2 - 0). Calculate the common denominator of y/20 - (1/(-4) + 0) and 47/9.
90
Suppose -5*m + 275 = -b, -b + 2*b = 0. Let r = m + 23. Let p = r - 34. Calculate the common denominator of p and 1/9.
9
Let x(r) = -3*r**3 + 5*r**2 + 42*r + 52. Suppose b = 32 + 4. Calculate the lowest common multiple of x(-2) and b.
36
Let p = 1173 - 6967/6. Calculate the common denominator of p and (582/(-8))/(15/10).
6
Let g = 43/28 - 25/112. Find the common denominator of g and (66/(-4))/3 - (-4)/16.
16
Let i = -40 - -5. Let p = i - -39. Calculate the smallest common multiple of p and 11.
44
Let m(s) = s. Let h = 18 - 13. Suppose 5*l - 3 - 13 = d, 0 = h*l - 5*d. Calculate the smallest common multiple of m(l) and 7.
28
Let z = 328829/104955 + 2/6997. Find the common denominator of -22/15 and z.
15
Suppose 5*l - 46 = -3*j - 1, 4*j = 3*l + 31. Let i = 33 - 17. Suppose 0*t = -2*t + i. Calculate the smallest common multiple of j and t.
40
Let r(p) = -p**3 - 8*p**2 - 6*p + 22. Let x be r(-7). Suppose 0 = f - 6 - x. Calculate the least common multiple of 4 and f.
84
Let c(d) = d**3 - 3*d + 2. Let r be c(2). What is the common denominator of (-308)/48*(-3 - (-14)/r) and -40/27?
216
Let s be (1 + (-16461)/12)*14/5. Let z = s - -3833. What is the common denominator of -79/18 and z?
90
Let p = 697426813/22 + -31708510. Let r be -7297 - (1/4)/(1/(-4)). Let h = r - p. Calculate the common denominator of h and 97/2.
22
Let k(n) = 2*n - 11. Let v be k(5). Let c be (-77)/21*(v + -2). Suppose 44 = 4*b - 4*g, -g - 3*g - c = -b. Calculate the smallest common multiple of b and 9.
99
Let h(a) = -a**2 - a. Let g(r) = -10*r**2 - 10*r - 8. Let f(y) = 2*g(y) - 22*h(y). What is the smallest common multiple of 36 and f(-6)?
396
Suppose -23*p = -28*p + 8365. Suppose 3*v + 335 = -4*m + p, -3*v - m = -1347. Calculate the common denominator of -1/14 and ((-2)/(-10))/((-468)/v).
182
Let s be (193*-1)/(26 + 2). Let i be 6/14*29/3. Let k = s + i. Calculate the common denominator of -87/8 and k.
8
Let h = -28 - -98. Find the common denominator of 34/5 and 5/h*-2 + -1.
35
What is the common denominator of -12*(-8)/(-24) + (-398)/(-120) and -49/15?
60
Let p be (2/4*16/(-8))/1. Calculate the common denominator of 1 + (1 - (-17)/22) + p and 59/4.
44
Suppose -3*r - 18 = 42. Let p = 20 + r. Suppose -5*o - 21 = i, 0 = 4*i + 3*o - p*o - 1. Calculate the smallest common multiple of i and 2.
4
Suppos | {
"pile_set_name": "DM Mathematics"
} |
c be z(13). Solve -2*n - 10 = -i, -5*i - c*n = -0*n + 10 for i.
0
Let h = 63 + -63. Let g(u) = -u**3 + 7*u**2 - 8*u + 9. Let t be g(6). Let z be 0/((-6 - t)/3). Solve -m + h*m - 2 = -p, m + 2*p - 13 = z for m.
3
Let g(b) = b**3 - 7*b**2 - 5*b + 1. Let o be g(5). Let p(x) = 41*x - 16. Let s be p(3). Let w = o + s. Solve -3*n = 2*n - 4*a + w, -4 = -2*a for n.
-5
Let x = 1 + 3. Suppose x*q - q - 4*b = 34, 5*q = -5*b + 45. Suppose -7*k + 2*a = -2*k - q, -32 = -3*k - 4*a. Solve 3*o + 8 = k*o - 2*g, 5*o - 14 = -3*g for o.
4
Suppose -4*n + 372 = -3*h + 6*h, -3*n + 308 = -5*h. Let z = n + -92. Solve -2*i = 3*p + 2*i + z, 0 = -2*p + 2*i - 12 for p.
-4
Let m = 300 + -297. Solve p - 10 = 4*u + m, -p - 8 = 3*u for p.
1
Let s be (-2 - -4) + -1 + 2. Let o(c) = 3*c + s*c**3 - 4*c**3 + c + 2 + c. Let x be o(-3). Solve -2*i + 2*n = -n - x, 0 = -i + 2*n + 8 for i.
4
Let d be 2*((-40)/(-20))/(8/14). Solve f = -b - 9, -5*b - 36 + d = f for f.
-4
Let q be (49 + -25)/(6/4). Solve -4 = -f, -2*p + 4*p + 4*f = q for p.
0
Let f(x) = 21*x - 2. Let p be f(2). Suppose 3*l - p = -s - l, -2*l = s - 34. Let i be (5/4)/(7/s). Solve 27 = i*z - v + 1, 5*z = -v + 24 for z.
5
Let b(w) = 3*w + 14. Let s be b(-8). Let h be -1 + 3 - 0 - s. Let o be (-40)/(-15)*6/4. Solve -2*n + 13 = 5*y, 5*y - 1 = o*n - h for y.
1
Suppose 2*v - 55 + 39 = 0. Solve -3*j + v = -4*g + j, j = 3*g for g.
1
Suppose 2*k + 2*k + 5 = -v, 0 = 4*v - k - 14. Suppose -3*g + 3 = v. Solve g = -3*h + 3*b, h - 3 = -4*h + 4*b for h.
3
Let d be (2/3)/((-2)/(-72)). Suppose 17*i - 144 = -31*i. Solve -6*s - d = -i*s + 5*m, 4*s - m + 9 = 0 for s.
-3
Let n(g) = 27*g - 133. Let h be n(5). Solve 5*t - 2*s + 15 = h*s, -4*s - 9 = 3*t for t.
-3
Suppose -4*p - 13 = -1. Let t = p + 14. Suppose 6*u - 4*c = u - t, 3*u - 5*c + 17 = 0. Solve -m = -u, 3*m - 1 + 10 = -3*s for s.
-4
Let s = 78 - 90. Let d be 42/s*2*2/(-7). Solve -2*o - 18 = d*y, 3*o + 11 = -o + y for o.
-4
Suppose -675 + 645 = -10*c. Solve -c*i + 6 = j, 2*i = 3*j - 2*j + 4 for i.
2
Suppose -128 = -11*t + 59. Solve -3*y + p + 5 = 0, -5*p - 8 = -2*y + t for y.
0
Let g = 14 + -14. Suppose 10*j - 7*j = g. Suppose -2*p = -j - 6. Solve 2 + 3 = -p*i - 4*h, -i - 8 = -5*h for i.
-3
Suppose -62 - 36 = 7*x. Let z be (-10)/25*(x + 4). Solve 2*r + z = 3*r - 2*y, 0 = -r - 2*y + 4 for r.
4
Suppose -2*j = -2*a + 8, 4*a + 3*j = 44 - 0. Let y = -5 + a. Suppose 3*x + 0*x - 10 = z, -16 = 2*x + 5*z. Solve 0 = x*p - 5*h - 6 + 3, -y*h = 3*p + 6 for p.
-1
Let p be (-8)/(-5) + 306/90 + -3. Solve 7 = -5*i - 0*x + 4*x, -4*x = -p*i + 2 for i.
-3
Let i = -30 + 32. Solve -2*o = i*l + 4, -4*o + 4*l - 20 = -52 for o.
3
Suppose 0 = -3*v + 15, l + l - 38 = -2*v. Suppose -6*f = f - 98. Let u = f - l. Solve 0 = -4*j + 5*t + 24, 2*j + 3*t - 6*t - 14 = u for j.
1
Let o = 7 - -3. Let w be ((-18)/10)/((-3)/o). Suppose 4*d = 14 - w. Solve 0 = -4*m + 3*l + 23, 0 = -d*m - 3*m - 4*l - 10 for m.
2
Let m = 4 - -6. Let y be (56/(-84))/((-2)/(-3)) + 5. Solve 0 = -u - 2*u + j - m, -4*u - y*j = 24 for u.
-4
Suppose n - 5 = -3. Let j = -13 + 21. Suppose 6*w = 2*w + j. Solve -w*k + 4*z = 26, z = 5*k + n*z + 21 for k.
-5
Suppose -2*h + 13 - 5 = 0, -2*g = -3*h - 28. Solve -5*i - 3*o = -g, -i - o + 4 = -0*o for i.
4
Let p(u) = -u**2 + 18*u + 5. Let t be p(18). Solve -2*c - 13 = c - f, 3*f = -t*c - 17 for c.
-4
Let g = -12 - -13. Suppose g = y + 4. Let m = 13 + y. Solve 4*f + 2*j + 3 = 13, 3*f - 2*j = -m for f.
0
Let l be (2 - 1)/(7 - 8). Let w = 1 + l. Suppose -m + w*m = -4. Solve m*f + 8 = 4*a, 6*a - 8 = 2*a + f for a.
2
Suppose -30 = -3*o - 5*m, -52*m - 37 = -5*o - 56*m. Solve 4*w + 31 = 8*w - 3*q, o*w - 5 = -3*q for w.
4
Suppose 0 = -16*q + 17*q + v - 4, 0 = 5*q - 3*v - 28. Solve 5 = a + 4*r - 2*r, 7 = q*a + r for a.
1
Suppose 160*u - 162*u = -6. Solve -u*f - 4*l + 1 = -0*f, -3*f + l = 4 for f.
-1
Let n(b) = -6*b - 258. Let u be n(-48). Solve 5*x - 2*m = -6*m - 45, m + u = -5*x for x.
-5
Let y be (6*(-18)/(-27))/2. Solve -4*m - 5*c - 7 = -y*c, 5*m + c = -17 for m.
-4
Suppose -3*w + 29 = 4*n, -2*w - n = 3*w - 20. Solve w*u + 2*z = 7, -6*z = -9*z - 3 for u.
3
Let t = 14 - 10. Suppose 0 = 4*b - 3*w + 10, 3*b + 35 = -2*w + 53. Solve 0 = b*z + 4*a - 10, -4*a + 18 = t*z - 2 for z.
5
Let s = 20 + -19. Let m be 0/(s/2*4). Let u be 7 - (-2 + 5 + m). Solve -p + 3*p - 4 = u*n, -3*n = -3 for p.
4
Let i(u) = u**2 - 15*u - 95. Let o be i(-5). Solve -3*s - 2*q = -6, -3*s - o = 4*q - 17 for s.
0
Suppose -19*v = -v. Solve 5*u - 4*g = 20, u - 4*g - 7 + 3 = v for u.
4
Suppose -20 = -4*h - 3*i, 0*h + 3*i - 10 = h. Solve 0 = -l - 4*j + 8, 0*j + j = -5*l + h for l.
0
Let z(h) = -h**2 - 11*h - 5. Let r be z(-11). Let g be r*((-22)/10 - -1). Let a be (-18)/(-2 - 0/1). Solve 0 = 3*x - l + a, g*l - 15 = 5*x + 2*l for x.
-3
Suppose 2*c - 3*c + 7 = o, -o + c + 1 = 0. Solve 2*g - 2*h = 12, 9*h - o*h + 5 = 0 for g.
5
Suppose 2*v + 76 = -4*u - 2*v, 0 = 5*u + v + 111. Let g = 47 + u. Solve 2*p + 4*y + g = 0, -2*y - 9 = -2*p - 3 for p.
-2
Let i be ((-376)/141)/((-1)/3). Solve 0 = 2*c + k, -k + i = 3*k for c.
-1
Suppose 3*k - 3*b - 17 = 1, k + b = 2. Solve 16 = 4*z - k*x, -2*x = -z + 3*x + 20 for z.
0
Let v(n) = 11*n + 2. Let r be v(0). Solve -x = -3*x + d - 3, -4*d - 12 = -r*x for x.
-4
Let i = -325 - -327. Solve 2*j = -i*s, -5*j + 5*s - s + 27 = 0 for j.
3
Let r = -13 + 19. Solve v - 3 = -x - x, x = -3*v - r for v.
-3
Let g be 1*(0 + 7) - (-23 - -22). Solve 3 = d, -5*y - 4*d + g = -24 for y.
4
Let t(s) = 2*s + 25. Let h be t(6). Let o = 61 - h. Let f be 4/(-2) - o/(-4). Solve 6*l - 4*l - 2*d + f = 0, 5*d - 24 = -2*l for l.
2
Suppose -4*z + 3*h + 6 = 0, -4*z + 0 = -2*h - 4. Suppose z = -2*u - 0*u. Suppose u = -4*p + p + 12. Solve 5*j + 0*q + 2*q + 16 = 0, 2*j + p*q = 0 for j.
-4
Let p = -118 + 120. Solve -3*c + 6 = 4*u - 5, -c - 3 = -p*u for u.
2
Suppose 5*r - 3*w - 18 = 0, -2*r - 2*r - w + 11 = 0. Solve f + 3*u - 1 = 0, -5*f + 4*u + 8 = r for f.
1
Suppose -4*a = 41*b - 44*b + 18, -4*b = -4*a - 20. Solve -6*y + 7*y + 3 = b*g, -35 = -3*y - 5*g for y.
5
Suppose 0*p - 120 = -4*p. Let h(c) = 9*c + 8*c - c**2 - 19*c. Let f be h(0). Solve -3*y - 5*k + p = f, 3*y + 0*k - 24 = -3*k for y.
5
Let j be 0*5*3/15. Suppose -o = -j - 2. Solve a + 3*w + o = -1, 4*w = -3*a + 1 for a.
3
Let c be ((-24)/32)/(1/(-4)). Let y(q) = -q**c + 9 - 2*q**3 + 3*q**3 + 7*q - 5*q**2 - q**3. Let j be y(-6). Solve i + s = -1, j*i + 4*s + 4 - 3 = 0 for i.
-3
Suppose -3*r - p - 110 + 167 = 0, -3*r = -4*p - 57. Solve 2*l + 3*l + s = -r, 0 = -3*l + 5*s + 11 for l.
-3
Suppose 2*q = -4*v + 14, 4*q = -6*v + 26 - 8. Solve y - 2*l + 17 = -5*l, 4*y - v*l = 17 for y.
-2
Suppose 3*b = 18 + 42. Let f be (-24)/b*(0 - 5). Let t be (f/(-4))/(-3)*10. Solve t*m - 7 = 4*y, y - m + 11 = 5*y for y.
2
Let j(f) = f + 21. Let m be j(-10). Let a be 35/11 + (-1)/(m/2). Solve 5*s = -5, 2*c - 4*s = -a*c + 24 for c.
4
Let r = 168 - 166. Solve -5*z + r*m = -0*m - 20, -m - 5 = 0 for z.
2
Suppose -29 = z - 29. Solve z = -4*d + 3*q - 7, -d + 4*q = 2*d + 7 for d.
-1
Suppose 5*q = 4*h + 8, 6 = q + 3*h - 6*h. Suppose 5*b = -z, 4*z + 2*b + 2*b = q. Solve 3*u - r + 8 = z, -8*u + 3*u - r - 24 = 0 for u.
-4
Let t be ((-72)/16)/(4/(16/(-6))). Solve 5*k - 4 = -3*x, k - t*k + x = -6 for k.
2
Suppose -a - 146 = -5*h - 121, -a = -3*h + 15. Solve x + 4 = -t - 1, h*t + 25 = -x for x.
0
Let w be -2 + 7/((-7)/(-6)). Solve -5*r + s - 25 = -4*s, s - w = 0 for r.
-1
Suppose 68*p - 175 - 437 = 0. Solve -2*d - 6 = 0, -p*h - 5*d = -8*h + 12 for h.
3
Let k be -1 - (8*-1 - -3). Suppose -2*t + k = -0*t. Let l = -218 - -221. Solve t*o + l*h = -0 + 6, 5*h - 29 = 3*o for o.
-3
Let z(w) = 2*w - 5*w + 21*w. Let q be z(1). Suppose 5*t = 2*t + 2*s + q, 2*t + s = 5. Solve -4*g = k + 1, 9*k + 2*g + 5 = t*k for k.
-1
Let x(l) = l**3 + 19*l**2 - 20*l + 6. Let n be x(-20). Let i be 10*(n/(-10) + (-1 - -2)). Solve w = 5*f - i*f + 6, 3*f = -3*w + 6 for w.
4
Let f(w) = -w**2. Let c = 7 - 7. Let h be f(c). Suppose h = -0*u + u - 1. Solve -1 = 3*v + o + 4, o - u = 0 for v.
-2
Let l be 1*(-3 - 0)/(-5 + 4). Solve 4*z = -2*v - 8, 4*v - 3*z = -2 - l for v.
-2
Let k = -128 + 128. Solve k*u + u - 13 = 5*y, -4*u - 5 = -y for y.
-3
Let j = -971 + 977. Solve j*f - 2*f - 2*t = -14, 5*f - 5*t = -15 for f.
-4
Let k be 3/(21/196) - (-3 + 6). Solve 6 + 16 = -4*o - g, 5* | {
"pile_set_name": "DM Mathematics"
} |
-1) - -1.
4
Let r be (5 + -2)/(-1) + 3. Suppose 2*m - 4*m + 108 = r. What is the remainder when m is divided by 19?
16
Let k = 14 + -5. Calculate the remainder when 46 is divided by ((-36)/10)/(k/(-30)).
10
Suppose 0 = 4*c + 2*v - 1042, -c - 5*v = -v - 271. What is the remainder when c is divided by 10?
9
Suppose -17*w + 22*w - 105 = 0. Calculate the remainder when 82 is divided by w.
19
Let c(n) = -3*n - 4. What is the remainder when 33 is divided by c(-7)?
16
Let i(o) = o + 26. Calculate the remainder when 36 is divided by i(-16).
6
Suppose 5*m - 27 = -4*n, m = -0*m + 5*n - 12. Suppose -m*x = -0*x - 18. Calculate the remainder when 46 is divided by (-2)/(-2) - (-138)/x.
22
Let b = 4 - 3. What is the remainder when (-10 + 1)/(-6*(-3)/(-6)) is divided by b?
0
Let y = -2 + 8. Let q be 374/y + 2/(-6). Suppose q = 5*x - 8. Calculate the remainder when 41 is divided by x.
13
Calculate the remainder when 15 is divided by -1*4*3/(-2).
3
Let b(y) = -8*y - 106. Calculate the remainder when b(-20) is divided by 28.
26
Let n = 11 - -4. Let l(i) = -7*i + 1. Calculate the remainder when n is divided by l(-1).
7
Let c(z) = -z**3 - 8*z**2 - 7*z + 7. Calculate the remainder when 23 is divided by c(-7).
2
What is the remainder when 267 is divided by (-1)/(16/(-20))*(28 - 4)?
27
Suppose 5*h + 0*a - 21 = 2*a, -10 = -5*a. Suppose -3*m + 70 = h*f, -5*f + 131 = 5*m + 31. Calculate the remainder when m is divided by 2/8 + (-62)/(-8).
7
Let x = 100 + -68. Calculate the remainder when x is divided by 9.
5
Let l(z) = -6 + 4*z + 3 + 4 - 5. What is the remainder when l(7) is divided by 4/(-14) + 93/7?
11
Let l = -20 + 20. Suppose -n - 2*n + 27 = l. What is the remainder when n is divided by 4?
1
Suppose -l = -2*w + 3*l + 64, -5*w + 2*l + 120 = 0. Let o(f) = -6*f - 12. What is the remainder when o(-9) is divided by w?
20
Let l(b) = b**2 - 8*b + 7. Let i be l(7). Suppose -4*t - 4*p + 6 + 2 = 0, i = -3*t + 5*p + 22. Calculate the remainder when t is divided by (-1 - -2)/(3/6).
0
Let m(w) = -w + 1. Let u be m(1). Suppose u = y + 5*c - 6, c + 1 = y - 5. Calculate the remainder when 9 is divided by y.
3
Suppose 0 = -2*d + d - 5. Let w(b) = -4*b - 5. Calculate the remainder when 43 is divided by w(d).
13
Let x be (5 + 0)*(-1 - 0). Let a(k) be the second derivative of -k**5/20 - k**4/2 - k**3 + 3*k**2/2 - 7*k. What is the remainder when 14 is divided by a(x)?
6
Let g(v) = 2*v**3 - 6*v**2 + 3*v + 10. What is the remainder when g(3) is divided by 13?
6
Suppose -2 = -3*f + 4*w, -4*w - 35 = f - 9. Let v = 8 + f. Suppose 5*q - 86 = -d, -53 + 21 = -2*q + v*d. What is the remainder when 32 is divided by q?
15
Let s = -4 + 11. Let f(v) = v + 3*v**2 - 7*v**3 - 4*v**2 - 3*v**2 + 6*v**3. What is the remainder when f(-5) is divided by s?
6
Suppose 4*y = -299 - 13. Calculate the remainder when (-2 + y/9)*-3 is divided by 11.
10
Let h = 110 + -103. Let z = 37 - 10. What is the remainder when z is divided by h?
6
Let n = 17 - 42. Let w = n - -53. Calculate the remainder when 81 is divided by w.
25
Suppose -35 = -3*k - 3*h + 1, -3*k + 4*h + 43 = 0. Let i = 0 + k. Calculate the remainder when 51 is divided by i.
12
Let k be (-64)/11 + (-4)/22. Let c = -7 - -9. Calculate the remainder when 8 is divided by c/(k/15)*-1.
3
Suppose f + 1 - 5 = 0. Calculate the remainder when 10 is divided by f.
2
Calculate the remainder when (-1 + 2)/((-2)/(-22)) is divided by 3.
2
Let p be -3 + 2 + -2 - -2. Calculate the remainder when 13 is divided by (p + -1)/((-2)/7).
6
Suppose l = -2*v - 0*v - 4, -4*l - 4 = 2*v. Suppose l = -x + 21 - 2. Calculate the remainder when 75 is divided by x.
18
Suppose 0 = p - 8*p + 273. Calculate the remainder when 76 is divided by p.
37
Let z = 28 - -15. Let t = 114 + -38. Calculate the remainder when z is divided by t/5 + 5/(-25).
13
Suppose 6*u = u + 20. Suppose -l = -s + 8, 8*s + u*l = 4*s + 48. What is the remainder when 28 is divided by s?
8
Let f(d) = 3*d - 13. Let m(g) = -g + 4. Let p(q) = 3*f(q) + 8*m(q). Calculate the remainder when p(10) is divided by 3.
0
Suppose -5*u = -5*t - 20, 25 = -5*u - 5*t + 5. Suppose -3 = 5*d - 6*d, u = -m - d + 13. What is the remainder when m is divided by 6?
4
Suppose 0 = -x - 4*q - 64, 0 = -0*x + 3*x + 3*q + 201. Let z = -48 - x. What is the remainder when 59 is divided by z?
19
What is the remainder when (11/(-22))/(2/(-112)) is divided by 10?
8
Suppose -36 = -3*v - 2*m - 8, -v + 18 = 5*m. Calculate the remainder when v is divided by 5.
3
Suppose 3*g - 72 = -0*g. Suppose -4*k = 2*y - g - 10, -k + 1 = -y. What is the remainder when 47 is divided by (15/9 - -1)*k?
15
Let n = 91 - -48. What is the remainder when n is divided by 47?
45
Let c = 9 + -4. Suppose -5*f - 4*g = -110, c*g = 2*f - 6*f + 88. What is the remainder when 64 is divided by f?
20
Suppose 15*k - 759 = 4*k. What is the remainder when k is divided by 12?
9
Let h = 28 - 27. What is the remainder when 3 is divided by h?
0
What is the remainder when 1135/45 + (-8)/36 is divided by 18?
7
Suppose 0 = -2*u - 5 - 43. Let t = u + 44. What is the remainder when t is divided by 11?
9
Let y be (-3)/3 + 6 + -1. Suppose -y*d + 86 = 2. Suppose 19 = 2*a + j, -4*a + 36 = j + 1. What is the remainder when d is divided by a?
5
Suppose -7 = -4*v + 113. What is the remainder when v is divided by 11?
8
Let o(m) = -56*m - 3. Let p be o(-3). What is the remainder when p/22*(-24)/(-5) is divided by 19?
17
Suppose -2 + 13 = -z. Let i = 27 + z. What is the remainder when 29 is divided by i?
13
Let o be (2 - -11) + (-4)/(-2). Let r = -10 + o. Calculate the remainder when (-186)/(-14) - (-2)/(-7) is divided by r.
3
Let y(s) = 5*s + 4. Let b = 2 + -2. Suppose -4*l + 4 = -2*n, b*l - 4*l + 28 = 4*n. Calculate the remainder when y(l) is divided by 10.
9
Let q(i) = -3*i + 5. Calculate the remainder when 56 is divided by q(-5).
16
Let f = -19 + 17. What is the remainder when 41 is divided by 11/(f/8*-2)?
19
Let y = 110 - 84. What is the remainder when y is divided by 14?
12
Let r(b) = b - 1. Let i be r(4). Suppose 0 = -2*x + x - 5*m - 12, 19 = i*x + 4*m. Let w(z) = -z**2 - 7*z - 3. What is the remainder when x is divided by w(-5)?
6
Let a(p) be the first derivative of 11*p**2/2 - 3*p + 1. What is the remainder when a(4) is divided by 21?
20
Let b = 40 + -28. Suppose 4*r - 34 = 54. Calculate the remainder when r is divided by b.
10
Suppose 5*d - d = -5*o + 103, -d = 2*o - 22. What is the remainder when 92 is divided by d?
28
Suppose 0 = -5*w + 4*y + 34, 5*y + 36 = 4*w + 4*y. Let o = 34 - 12. Suppose -3*p + o = -2*r, 4*p - 8 = r + 13. Calculate the remainder when w is divided by p.
2
Suppose 3*a = -5*l + 130, -l - 79 = -4*l - 2*a. Calculate the remainder when l is divided by 13.
10
Let n = 66 + -46. What is the remainder when 39 is divided by n?
19
Let h(f) = f**3 - 9*f**2 - 10*f - 3. Let m be h(10). Let y = 9 + m. What is the remainder when 9 is divided by y?
3
Suppose -3*y - 2 = -2*z - 5, z + y - 6 = 0. Let h = z - 2. Suppose -2*n = -7*n + 5*u + 25, -4*n - 12 = 4*u. Calculate the remainder when h is divided by n.
0
Let h be ((-6)/4)/((-4)/8). Let d(i) = -1 + 3 - 7*i**h - 2*i + 8*i**3. Calculate the remainder when 11 is divided by d(2).
5
Suppose -30 = 2*m - 4*m + 2*s, -5*s + 5 = -m. Calculate the remainder when 36 is divided by m.
16
Let h(o) = -o**2 + 6*o + 1. Let s be h(5). Let b be s + (1 - (1 - -1)). Suppose 0 = b*x - 52 - 58. Calculate the remainder when x is divided by 8.
6
Suppose 4*a = 2*i + 61 - 15, 2*a - 3*i = 21. Calculate the remainder when 34 is divided by a.
10
Let t be 0 + 5/(10/(-6)). Let v = t + 12. Suppose 24 = -2*h + 58. What is the remainder when h is divided by v?
8
Let l be (-16)/(-8) - 103/1. Suppose 4*w - 39 = w. Calculate the remainder when 2/(-8) + l/(-4) is divided by w.
12
Let d(p) = p**3 + 10*p**2 + 7*p - 11. Calculate the remainder when d(-9) is divided by 4.
3
Let a = 73 + 45. What is the remainder when a is divided by 30?
28
Let i(t) be the first derivative of t**4/4 + 10*t**3/3 + 5*t + 1. What is the remainder when 9 is divided by i(-10)?
4
Let h = 2 - 0. Suppose 35 = 2*n - 5*i - 0*i, n = h*i + 15. Let p(t) = 10*t**2 - 1. Calculate the remainder when p(-1) is divided by n.
4
Let u = 4 - -28. What is the remainder when u is divided by 9?
5
What is the remainder when (6/(-4))/( | {
"pile_set_name": "DM Mathematics"
} |
949/21 + -521. Calculate the common denominator of u and -2 + (31/3 - -2).
21
Suppose 0 = -4*b + 20 + 12. Let a be (-2)/1*(-88)/b. What is the common denominator of 4/a + (-2401)/924 and 35/8?
24
Let p(b) = -4*b + 53. Calculate the common denominator of 22/43 and p(13).
43
Suppose -3*x = -8 + 5. Suppose -3 = 2*q - 4*q + b, 5*b = 3*q - x. Suppose q*g = -0*g + 20. Calculate the smallest common multiple of g and 4.
20
Let t be (1/(117/54879))/(1/3). Let b = t - 1406. Calculate the common denominator of b and -26/3.
39
Let d(l) = l**2 - 3*l. Suppose 2*m + 2 = 12. Suppose -m*v - 3*s = -14, 3*v - 5*s = 2*v + 14. Calculate the lowest common multiple of 4 and d(v).
4
Let k = -32 + 44. Suppose 0 = -5*y + k*y - 112. What is the lowest common multiple of y and 22?
176
What is the common denominator of -15/16 and ((-2)/8)/(37/(-82))?
592
What is the lowest common multiple of (-1897)/(-42) + 3/(-18) + 0 and 90?
90
Let c(k) be the third derivative of -5*k**4/24 - 7*k**3/3 - 2*k**2. Calculate the common denominator of c(-5) and -43/10.
10
Let c = -560 - -8963/16. What is the common denominator of c and 2810/2508 + (-16)/88?
912
Let x = -56795/12 + 4723. Let z be 52/(-3) + (-4)/6. Calculate the common denominator of x and 82/z + 1/(-2).
36
Let p(j) = 2*j**3 - 45*j**2 + 24*j - 32. Calculate the lowest common multiple of 440 and p(22).
1320
Let i = -12/41 + -390/1189. Let x = i - 1194/319. Find the common denominator of x and 154/(-20) - (5 - 6).
110
Let l = -5 + 10. Let x be 0 + 5 - (2 - l). Calculate the common denominator of ((-12)/x)/(60/86) and 85/18.
180
Let j = -739 + 2985/4. Find the common denominator of j and -101/196.
196
Let m be (-8 + 14099)/(2/(-6)). Let z = 1860109/44 + m. Calculate the common denominator of z and 67/12.
132
Let l(m) = -67*m**2 - 3. Let z be l(1). Let b(f) = -5*f + 2. What is the lowest common multiple of b(-2) and -1*(-56)/10 - 28/z?
12
Suppose -2*n + 54 = -3*k, 3*n - 106 = -n + 5*k. What is the least common multiple of n and 96?
96
Let x = -1034 + 620. Calculate the common denominator of (3/(-42))/(1/(-46)) and 2/6 + x/189.
7
Calculate the common denominator of 29/201 and 94*(-3)/168 + (-30)/40.
1407
Suppose -5*l = -2*w + 5, -2*w + 6*w - 35 = 5*l. Let b = 15 - w. Suppose 24 = -b*n + 4*n. What is the smallest common multiple of 6 and n?
6
Suppose -31*r + 1617 = 191. Calculate the least common multiple of 1 and r.
46
Let x be (3 + 12/(-3))*-701. Let z = -7019/10 + x. What is the common denominator of 3/22 and z?
110
Let b(i) = -i + 12. Let o be b(6). Suppose -o*m + 36 = -0*m. Suppose 3*k - 3*w = -2*w + 34, w = -k + m. What is the smallest common multiple of 8 and k?
40
Let p = -11781 + 3074837/261. Let d = p - 18523/522. What is the common denominator of -57/28 and d?
28
Suppose y + 0*m - 5*m = -33, 4*y - 4*m = -84. Find the common denominator of 48/7 and -1*(-4)/(128/y).
112
Let z = 3413 + -27257/8. Let y(a) = -a - 955. Let r be y(0). Let p = -2891/3 - r. Calculate the common denominator of z and p.
24
Let n = 505 - 410. What is the lowest common multiple of n and 76?
380
Suppose -26 = -4*p + l, 4*l - 9*l = p + 4. Calculate the least common multiple of p and 4.
12
Let u = 13/238 - -18/119. Let p = 26 + -16. Find the common denominator of 423/9*1/p and u.
170
Find the common denominator of (0 - 1) + (-83)/(-14) and (-6)/(-4) + 9 + -5 + 9.
14
Let z(l) = -l**3 + l**2 + l + 6. Let f(h) = -h**2 + 18*h + 11. Let d be f(18). Suppose 88 = d*b - 7*b. Calculate the lowest common multiple of z(0) and b.
66
Let p = -84 + 24. Calculate the common denominator of (-25*(-34)/(-935))/((-2)/3) and 2/4 - (-78)/p.
55
Let b be 2 - 4 - 72771/27. Let o = 2694 + b. What is the common denominator of 19/6 and o?
18
Let l = -1876 + 2085. Calculate the least common multiple of 209 and l.
209
Suppose -36 - 99 = -5*l. Calculate the common denominator of 134/220 - (-1 - -2)/5 and 2/(-2) + l/(-24).
88
Let h = -23/58 - -1006/87. Find the common denominator of h and 65/51.
102
Let m be ((-1332)/(-3) + 3)/(-1). Let y = 6631/15 + m. What is the common denominator of y and 28/3?
15
Let i = 78 + -260/3. Let q = -45 - -67/2. What is the common denominator of i and q?
6
Suppose 3*r = -0*r - 5*n + 80, 3*r - 96 = 3*n. Suppose -3*g - r = -8*g. Let v(t) = -t**3 + 7*t**2 - 2*t - 6. Calculate the least common multiple of v(g) and 18.
18
Suppose -4*v = -3*j + 1, 2*j = -2*v + 5*j - 5. Suppose 4*y - 24 = -v*b, 2*b - 4*b + 3*y = 11. Calculate the common denominator of 119/6 and 377/208 + b/4.
48
Suppose -t + v = -10, -5*t + 2*v + 68 = 6*v. Suppose -4194 = -13*c - 3934. What is the least common multiple of c and t?
60
What is the common denominator of -55/4 and (-3425)/100*2/66?
132
Let x = -186 + 234. Calculate the least common multiple of x and 60.
240
Find the common denominator of 3*(-1 - -2) - (-428)/(-220) and -107/40.
440
Let q(z) = 6*z**3 + z**2 - 5*z + 10. What is the least common multiple of 260 and q(2)?
260
Let c = -70 - -98. Suppose u = -1 + 33. Let j = u - c. Calculate the lowest common multiple of 7 and j.
28
What is the common denominator of -1/24 and (2/((-16)/(-6)))/((-81)/189)?
24
What is the common denominator of ((-22)/55)/(36/485) and 82/33?
198
Let y = 21/334 - -13693/2672. Find the common denominator of 43/316 and y.
1264
Let r(z) = -z**3 - 13*z**2 + 13*z - 12. Let h be r(-14). Suppose h*b + 4*b - 12 = 0. What is the least common multiple of b and (15/6 - 2)*2?
2
Let q(k) = -k + 8. Let h be q(-6). Suppose 3*m - 5*u - h = 0, 0*m + u = m - 4. Calculate the lowest common multiple of m and 6.
6
Let x = 23007367/168 + -136949. What is the common denominator of x and 55/93?
5208
Let n(z) = -z**2 + 6*z + 3. Let t be n(4). Suppose 2*k = -43 - t. Calculate the common denominator of (3/k)/((-6)/(-258)) and -8.
9
Suppose 175 - 60 = 5*v. Calculate the smallest common multiple of v and 23.
23
Suppose 4*f = 3*g + 26, 5*f + 4*g = -0*g + 17. Suppose -f = -5*w, -5*y + 57 = -5*w + 2*w. Let l = y - 8. Calculate the lowest common multiple of l and 6.
12
Calculate the smallest common multiple of 94 and (15 + -2)/((-1)/(-2)).
1222
Let p(u) = -20*u + 15. Let t be p(-6). Let f = -99 + t. Calculate the least common multiple of f and 8.
72
Suppose 0 = 4*x + 20, 4*x = -5*h - 37 + 1042. Calculate the least common multiple of h and 5.
205
Let y = -328782049 - -518245653. Let t = y - 264301716151/1395. Let r = t - -39/155. Calculate the common denominator of -55/6 and r.
18
Let p(v) = -46*v - 4. Let b be p(-9). Let g = b - 246. Calculate the lowest common multiple of 10 and 2/(-4 + g/40).
20
Suppose -5*l = -3*q + 8, -l = q + 1 + 7. What is the common denominator of (l/6)/(30/(-432)) and (-10)/(-4)*(-98)/(-10)?
10
Let q = -83653843/11543904 - -7292/11637. Let b = -5/992 + q. Let n = -16135 - -322793/20. Find the common denominator of n and b.
40
Let z = 132 + -18. Suppose -5*y = -2*o - 216, -3*y - 6*o + z = -2*o. What is the lowest common multiple of 2 and y?
42
Let r = -2/6649 + 352433/119682. Calculate the common denominator of 13/30 and r.
90
Suppose -2*s + q + 3*q - 26 = 0, -4*s + 3*q = 27. Let k(l) = 2*l + 22. Calculate the smallest common multiple of (-3)/((-3)/7) - s and k(-7).
40
Let k(a) = -a**2 + 11*a - 5. Let t be k(11). Let x(q) = q + 7. Let o be x(t). Suppose -d + 8 = -o. What is the least common multiple of 2 and d?
10
Let a = 3577 - 35691/10. Suppose o + 14 = w, 0*w + 5*o + 50 = 3*w. Find the common denominator of a and (-605)/5*(-1)/w.
10
Let q(k) = 2027155*k**2 - 3*k - 7. Let m be q(-3). Let o = m - 15252310241/836. Let w = o + -2/209. What is the common denominator of 13/11 and w?
44
Suppose -118*u + 112*u + 636 = 0. Calculate the least common multiple of u and 5.
530
Suppose 2*k - 223 = -3*c, -360 = -5*c + 3*k + 37. What is the smallest common multiple of c and 22?
154
Suppose -2449 = -6*q - 217. Calculate the common denominator of 59/5 and ((-117)/(-6))/((q/28)/1).
310
Let c = 3643/63 + -395/7. Calculate the common denominator of c and 27/49.
441
Calculate the common denominator of 2/(-8) + 1 + 1195/(-600) and 13/44.
1320
Let p = 2339/84 + -251/12. Calculate the common denominator of 125/42 and p.
42
Let i = -3778/55 + 6109/90. Find the common denominator of 55/8 and i.
792
Let d = -48571/16506 + -5/2751. What is the common denominator of 27/8 and d?
72
Let l = | {
"pile_set_name": "DM Mathematics"
} |
-7*k - 188. Let r be q(-28). Let f be (4/r)/(g/4). Solve -f = -2*h + 3*h for h.
-2
Suppose -3*c + 19 - 14 = -5*k, 10 = 2*k. Solve 16*l + 24 = c*l for l.
-4
Let m(b) = -b**2 - 18*b + 2. Let x be m(-18). Suppose 0 = 8*g + x*g - 80. Solve -5*w = -w + g for w.
-2
Let g(j) = j**2 - 5*j - 4. Let o be g(7). Suppose -73 = -18*l - 1. Solve -l*t = t - o for t.
2
Let y(b) = b + 3. Let t be y(-13). Let k be (-2)/(45/t + 4). Solve -3*u = -8 - k for u.
4
Suppose -2*u = 5*h - 56, 0 = 4*h - 3*h + 2*u - 16. Solve -3*r = -16 + h for r.
2
Suppose 0 = -4*r - 21*r + 50. Let c(b) = -b - 5. Let v be c(-6). Suppose -5*w + q = -10, 0 = -q - 6 + v. Solve -w = r*l - 3 for l.
1
Let o = -26 - -35. Let v(s) be the first derivative of -s**3/3 + 4*s**2 - 9*s + 2. Let m be v(6). Solve 0*q + m*q = -o for q.
-3
Let z be 7*12/49 + 2/7. Solve -z*r + 4 = -0*r for r.
2
Suppose v - 15 = -2*a - 3*a, -4*a = 5*v - 138. Solve 0 = t + 5*t + v for t.
-5
Let p be 0 - 23/(207/(-54)). Solve 7*k = p + 8 for k.
2
Let t be (-2)/(-7) + (-26)/(-7). Let l be 25 - ((-2)/(-4)*-4 - 0). Let v be 9/l*(29 - 2). Solve t*q - q = -v for q.
-3
Suppose 23 = 2*d + 2*s + 11, 8*d - 42 = -2*s. Solve 0 = -y + 2*y - d for y.
5
Let h(i) = -2*i + 11. Let w be h(3). Suppose -w*d + 23 = 4*c, 2*d - 5*c + 4 = -0*d. Solve b - 8 = -d*b for b.
2
Suppose 436 = 24*j - 20. Solve 26 = 9*y - j for y.
5
Let k(w) = -1 + w + 2 + 0*w + 8. Let r be k(-9). Suppose 7*a = -c + 3*a + 2, -5*c - 2*a + 10 = 0. Solve -c*i + r*i + 4 = 0 for i.
2
Let p = -813 - -832. Solve -p*z = -8*z - 22 for z.
2
Suppose 3*g + 3*v - 39 = 0, 5*v = -g + 4 + 1. Suppose g + 15 = 5*s. Suppose -i + 4*i = s. Solve -i*k = -7 + 1 for k.
3
Suppose -z - 2*z + 21 = 0. Let n = 0 - 0. Let y = -56 + 60. Solve n = y*f - z - 5 for f.
3
Let d = 21 - 19. Suppose d*a - 4*b = 0, -a + b - 1 = -2. Suppose -5*z + 25 = 5*m, -m + a*z - 16 = -4*m. Solve m + 2 = 2*f for f.
4
Let s = -11 - -13. Suppose 3*b + 0*i + 4*i = 22, s*i + 2 = 5*b. Solve 1 = -x + b for x.
1
Let w = -16 + 25. Let t be (30/8)/(w/48). Solve 4*x = -x - t for x.
-4
Suppose -9*y + 62 - 17 = 0. Solve 2*k - 6 = y*k for k.
-2
Suppose -8 = -0*w - 4*w. Suppose w*k + 6 = 3*k + 3*q, 5*k - 3*q - 12 = 0. Suppose -k*l = a + 9, -2*a - 3*l - 2 = 4. Solve -8 = a*m + 7 for m.
-5
Suppose 3*h = 6*h. Suppose 5*c - 3*c + 10 = 5*i, -c + 5 = h. Solve 0 = s - 2*s + i for s.
4
Let n(s) = s**3 - 11*s**2 + 33*s - 11. Let t be n(6). Solve -t*j = 3*j - 40 for j.
4
Let h be (-6)/(-3) - (-42)/7. Solve 4*t + 0 - h = 0 for t.
2
Let f(v) = -v**3 - 8*v**2 - 8*v - 4. Suppose 5*a + 3 + 32 = 0. Let p be f(a). Let n be ((-14)/(-21))/(p/18). Solve n*o - 3*o = -1 for o.
-1
Let r(m) = -m**3 + m**2 + 12*m + 47. Let g be r(-3). Solve -41*o = -g*o for o.
0
Let x(i) be the first derivative of -12 + 1/2*i**2 + 9*i. Let f be x(-5). Solve 0 = 4*v + f + 12 for v.
-4
Let y(p) = -p**2 + 9*p - 7. Let g be y(7). Solve 0 = -g*n + 6*n for n.
0
Suppose -i + 6*i + 15 = 0. Let h be -3*(2 + (-6 - i)). Suppose -o = -h*j - 4*o + 18, -j + 9 = 2*o. Solve m + 16 = -j*m for m.
-4
Let t be 48/(-22) + 24/132. Let n be 0 + (4 + t - -3). Solve -q - 4*q = n for q.
-1
Let l = 669 - 664. Solve -l*z + 18 - 18 = 0 for z.
0
Let q = -47 + 32. Let m = -9 - q. Solve -2*c + 0 = m for c.
-3
Let w(u) = -68*u + 165. Let x be w(2). Let b(h) = 2*h - 7. Let o be b(6). Solve -x = o*c - 9 for c.
-4
Let x = -412 - -426. Solve -a = -x + 11 for a.
3
Suppose 0 = 3*c + l - 5*l, 0 = 2*l - 6. Suppose -j + 3*j - c = 0. Solve -2*s + 16 = j*s for s.
4
Suppose 0 = -6*y + 3*y + 12. Suppose -8*p + 22*p - 56 = 0. Solve p*a - y = 16 for a.
5
Let q be 4/(-14) + 624/(-21). Suppose 156 = 4*u - 44. Let y = u + q. Solve 4*n + y = 8 for n.
-3
Suppose 492 = 54*h - 13*h. Let z(s) = s**2 + 3*s. Let w be z(-5). Suppose -h*t = -w*t - 18. Solve -t = -4*n + n for n.
3
Let q = -43 + 46. Suppose q*u - 29 = -5*y, 2*y - 23 = -3*u - 2*u. Solve -4 = y*a - 24 for a.
5
Let h = 1 - -100. Let v = -96 + h. Solve v*d = 15 + 5 for d.
4
Suppose 4*l - 5 - 1 = -5*g, 0 = -l + 4*g + 12. Suppose 39 = l*o + 9*o. Solve x = o*x for x.
0
Let z = -6 + 31. Let l = z - 23. Solve -3*b = -l*b - 2 for b.
2
Let f = -338 + 343. Solve -31 + 6 = f*b for b.
-5
Let j = 345 + -325. Solve -6*n - 4*n - j = 0 for n.
-2
Suppose 2*y + y - 1 = c, 3*c = -3*y + 9. Let a(g) = 2*g**3 - 5*g**2 - 16*g + 19. Let r be a(4). Solve t + r - c = 0 for t.
-1
Suppose 346*a - 374*a = -112. Let l be (-99)/(-6) + (-1)/2. Solve -4*z - a = l for z.
-5
Suppose 7*x - 2*x = 0. Suppose 0*i - i = -5*b + 15, i - 3*b + 9 = x. Suppose -m + 40 = 4*m - 5*s, 5*m + s - 64 = 0. Solve i = c + 2*c - m for c.
4
Suppose 0 = 2*n + 2*w + 6, -2*w - 20 = -5*n - 0*w. Suppose n*l - 2 - 8 = 0. Solve 1 + l = -2*u for u.
-3
Let o be -3 + 3 - 4 - (-5 + 1). Let b be 4/1 + ((-10)/5 - o). Solve b*h - 6*h = -12 for h.
3
Let r = -35 + 31. Let v be 4 - (4 + -14 - r). Solve 8*x - 3*x = -v for x.
-2
Suppose 0*a = -7*a + 28. Suppose 0*w + w - 6 = -2*l, 4*w = -l + 3. Solve c = l*c + a for c.
-2
Let m(b) = b**3 - 8*b**2 + 6*b + 9. Let w be m(7). Let i be (-24)/(-6) + 32/w. Suppose -2*x + i = 2*a, -a + 40 = 5*x + 2*a. Solve 0 = 4*y - 9*y + x for y.
1
Let p(k) = 62 - 118 - k**2 - 2*k + 64. Let u be p(-4). Solve -a + 1 + 4 = u for a.
5
Let y(g) = g**3 + 15*g**2 + 16*g + 29. Let b be y(-14). Suppose -12 - b = 3*u + 5*i, -4*i = -2*u + 28. Solve -u*f = -20 + 4 for f.
4
Let f be 38/8 - (-15)/(-20). Suppose w + 0*w + 3 = -t, -3*w - 7 = f*t. Solve -2*g + 0*g = t for g.
-1
Let o = 149 + -142. Solve o*h = -17 - 18 for h.
-5
Let t(z) = 10*z + 336. Let h be t(-33). Solve h*s = 4*s + 4 for s.
2
Suppose -7*k + 36 = -13. Let w be k/(-56)*6 - (-54)/8. Solve -w*g + 2*g = 0 for g.
0
Let r = 18 + -13. Suppose -r*m - 2 = -32. Let p = -4 + m. Solve 10 = -p*l + 7*l for l.
2
Suppose 154*x - 153*x - 11 = 5*f, f = -1. Solve 6*m - 36 = -x for m.
5
Let a = 14 - 10. Let w = a + 3. Solve -2*c - w = -1 for c.
-3
Suppose 10 = 5*v + 5. Solve -l - 4 = v for l.
-5
Suppose -501*i + 496*i = -5. Solve -i = 2*w - 1 for w.
0
Let n = 1106 - 1062. Solve n - 45 = -p for p.
1
Suppose -b = -2*o + 19, 0 = 4*o + b - 66 + 13. Solve -2*t + 5*t = o for t.
4
Let f(i) = -i**3 - 17*i**2 + i + 17. Let j be f(-17). Solve -2*z + j*z = -8 for z.
4
Let v(a) = -a + 2. Let h(s) = s**2 - 4*s + 2. Let q be h(4). Let j be v(q). Let o be 2/21 + (-600)/(-315). Solve j*b - b = o for b.
-2
Let j(r) = -r**3 + 4*r**2 + 2*r - 3. Let f be j(2). Solve 0 = g + 5 - f for g.
4
Let o = 853 + -853. Solve o = 34*r - 29*r - 25 for r.
5
Let j(a) = -a**3 - 5*a**2 - 5*a - 1. Let i be j(-4). Solve -i*t = t + 4 for t.
-1
Let b(u) = -5*u**2 - 3*u + 3. Let r be b(2). Let c = 25 + r. Suppose -3*a - a - 2*p = -20, -a + 8 = c*p. Solve 2*m = a + 2 for m.
3
Let m = 207 + -74. Suppose 4*o = -o - 25, -4*y + o = -m. Suppose -2*r + 18 + y = 0. Solve -4*k = k + r for k.
-5
Let n = 1 + 0. Let q = 27 + 1. Suppose q*i - 15 = 23*i. Solve i - n = b for b.
2
Let k(g) = -g**3 - 3*g**2 + 3*g - 4. Let v be k(-4). Solve v = 9*n + 2*n + 44 for n.
-4
Suppose -5*k - 8*w + 3*w - 185 = 0, 0 = -3*k - w - 101. Let c = k + 36. Solve 0 = -3*b - c - 11 for b.
-5
Let g(p) = -p**2 - 7*p - 6. Let a be g(-5). Let y be (0*(-1)/3)/(-90 - -89). Solve 0 = v - y*v - a for v.
4
Let j = -59 + 61. Suppose -4*o = -h - j*h - 3, 0 = -2*o + h + 3. Solve -o*t = 1 + 2 for t.
-1
Let f be (-14)/5*(-60)/24. Solve 6*c + 5 = f*c for c.
5
Let x = -8 + 17. Suppose 4*m - 27 = -3*c, -2*m - c + 2*c = -1. Suppose -11 = -m*y + 4. Solve y*l = 11 + x for l.
4
Suppose 0 = -2*t + 6*t + 3*n + 325, -2*t = n + 165. Let x = -80 - t. Solve 7 + 8 = x*c for c.
3
Suppose n = -m - 3, -4*m + 2 = -5*n + 32. Solve p - n = 2 for p.
4
Let p = 12 - 8. Suppose -50 = -5*k - 5*b, p*k - 34 = -k - b. Solve -k = -2*z - z for z.
2
Suppose -r + 3*r - 4 = 0. Suppose -n = -r*n. Let y be (2 + n + -2)/(-1). Solve b - 1 = -y*b for b.
1
Suppose -21 - 8 = -5*m - 4*s, -13 = -2*m - 3*s. Let w = -4 - -8. Let b be w/(4/(8/2)). Solve 9*d + m = b*d for d.
-1
Suppose -3*r + 5*c - 3*c = 8, -3*r = -4*c + 10. Let k be (-6 - r)*(3 + -4). Let s be 1/2 + 2/k. Solve 0 = -p + s - 5 for p.
-4
Suppose 84*y + 150 = 90*y. Solve -3*s - 2*s = -y for s.
5
Let o = -1555 - -1564. Suppose 0 = -g + 3*t + 1, 0 = g - 5*t + t. Solve -g*k + k = o for k.
-3
Suppose -15*j + 74 - 14 = 0. Suppose -2*w - 18 = -j*g, g - 4*w - 24 + | {
"pile_set_name": "DM Mathematics"
} |
*w**2 - 1323885 + 1323885.
-6*w**2
Collect the terms in -1565*b**2 + 3383*b**2 + 3969*b**2 + 745*b**2.
6532*b**2
Collect the terms in 16272*h + 16201*h - 32473*h + 6*h**3 - 4*h**3.
2*h**3
Collect the terms in 11*o - 25*o**3 + 23*o**3 + 19*o**3.
17*o**3 + 11*o
Collect the terms in -4 + 184*u - 186*u + 1.
-2*u - 3
Collect the terms in -1782*x + 1782*x + 8*x**2.
8*x**2
Collect the terms in 1 - 2*s**3 - 6082*s + 6125*s - 1.
-2*s**3 + 43*s
Collect the terms in -2*r - 382*r**2 - 472*r**2 + 771*r**2.
-83*r**2 - 2*r
Collect the terms in -95*z + 95*z + 88*z - 67*z.
21*z
Collect the terms in 310*u**2 - 23892974 + 23892974 + 100*u**2.
410*u**2
Collect the terms in 12*z - 23511 - 23319 + 46830.
12*z
Collect the terms in 23*u**2 + 28*u**2 + 22*u**3 + 33*u**2 - 84*u**2.
22*u**3
Collect the terms in 765495055 - 765495055 - 4*b.
-4*b
Collect the terms in -69 - 60 + 129 + 2*h - 11*h + 6*h.
-3*h
Collect the terms in 1028*x**2 + 2043*x**2 + 1207*x**2 + 3283*x**2.
7561*x**2
Collect the terms in 9 - 108*v - 7 - 3 - 24*v.
-132*v - 1
Collect the terms in 8474 + 0*q + 8477 + 7*q - 16951 - 5*q.
2*q
Collect the terms in 12531 + 49*t - 12532 + 18*t.
67*t - 1
Collect the terms in -30768 + 4*z - z + 61536 - 30768.
3*z
Collect the terms in 4 - 4*j**2 - 3 - j - 3*j**2.
-7*j**2 - j + 1
Collect the terms in -11*n - 39*n + 3*n - 1 + 21*n - 10*n.
-36*n - 1
Collect the terms in 985 - 985 - 101*b + 56*b + 50*b.
5*b
Collect the terms in -8420*f + 16834*f - 8424*f.
-10*f
Collect the terms in 18*x + 39737808 - 39737808.
18*x
Collect the terms in -75335*c + 37674*c + 37668*c.
7*c
Collect the terms in -11 + 10 - 2*c**2 - 76 + 6*c**2.
4*c**2 - 77
Collect the terms in 317*s**3 + 2*s - 77 - 628*s**3 - 2*s + 315*s**3.
4*s**3 - 77
Collect the terms in -8728*q + 17496*q - 8724*q.
44*q
Collect the terms in -6041*i**2 + 3020*i**2 - 5*i**3 + 3020*i**2.
-5*i**3 - i**2
Collect the terms in -10 - 990*t**3 - 991*t**3 + 2973*t**3 - 994*t**3.
-2*t**3 - 10
Collect the terms in 0 - 858*s + 926*s + 3.
68*s + 3
Collect the terms in -n**2 + 468 + 16 - 5*n**2 - 484.
-6*n**2
Collect the terms in 0 + 0 + 2*p**3 + 160*p**2 - 27*p**2 - 74*p**2.
2*p**3 + 59*p**2
Collect the terms in -9508 - 388*a**2 - 9510 + 19018.
-388*a**2
Collect the terms in 858*b**3 - 297*b**3 - 322*b**3 - 317*b**3.
-78*b**3
Collect the terms in 35*q - 67*q - 469*q**2 + 32*q.
-469*q**2
Collect the terms in -48*a - 60*a - 3 + 15*a.
-93*a - 3
Collect the terms in 828*i**2 - 1632*i**2 + 3*i**3 + 804*i**2.
3*i**3
Collect the terms in 32*s**2 - 3*s**2 + 9*s**2 - 3*s**2 - 649*s + 648*s.
35*s**2 - s
Collect the terms in -1583430*s - 22*s**3 + 1583430*s.
-22*s**3
Collect the terms in 487 + 379*n**2 - 225 - 262.
379*n**2
Collect the terms in 206*a**2 + 220*a**2 + a + 194*a**2 - a.
620*a**2
Collect the terms in -6*l + 8*l + 29*l.
31*l
Collect the terms in 92*q + 2*q**2 - 36*q - 2*q**2 + 3*q**3 - q**3.
2*q**3 + 56*q
Collect the terms in 18 + 14*v - 19 + 3*v + 11*v.
28*v - 1
Collect the terms in 2833*q - 598*q - 602*q - 600*q - 1032*q.
q
Collect the terms in -4*u - 14*u**3 + 3*u**3 + 5*u**3 - 7*u + 8*u**3.
2*u**3 - 11*u
Collect the terms in 950*k**2 - 2696*k**2 + 791*k**2 + 956*k**2.
k**2
Collect the terms in 20418 - 6809 - 6806 + 4*z - 6803.
4*z
Collect the terms in 2*m**2 + 1625*m - 477*m + 2076*m.
2*m**2 + 3224*m
Collect the terms in 4972*a - 9953*a + 4955*a - 4*a**2.
-4*a**2 - 26*a
Collect the terms in -167 + 2*b + 31 + 34 + 102.
2*b
Collect the terms in 580290*m**3 + 580303*m**3 - 1160595*m**3.
-2*m**3
Collect the terms in -f**2 + 6 + 3190 + 999 + 286.
-f**2 + 4481
Collect the terms in 241 + 206 + 4*b - 447.
4*b
Collect the terms in 4559*o**3 + 2*o**2 + 11*o**2 - 13*o**2 - 4582*o**3.
-23*o**3
Collect the terms in -49 - 445*c - 10 + 430*c.
-15*c - 59
Collect the terms in -1182*w - 1188*w + 2373*w + 2*w**2 - w**2.
w**2 + 3*w
Collect the terms in 2270*t**3 + 2262*t**3 + 2269*t**3 + 2271*t**3 - 9075*t**3.
-3*t**3
Collect the terms in 143*b**3 - b + 11*b**3 - 15*b**3 + 3*b**2.
139*b**3 + 3*b**2 - b
Collect the terms in 3*p + 7*p - 147*p**3 - 10*p.
-147*p**3
Collect the terms in -1 + 3*f + 1 - 635*f**2 - 23*f**2.
-658*f**2 + 3*f
Collect the terms in -2*p + 5*p - p + 3875*p**2 - 2*p - 3879*p**2.
-4*p**2
Collect the terms in 3 + 0 - 246*i**3 + 6*i - 6*i.
-246*i**3 + 3
Collect the terms in -8393*p**3 - 3062*p**3 + 11452*p**3.
-3*p**3
Collect the terms in 186*i**3 + 151*i**3 + 188*i**3 - 463*i**3.
62*i**3
Collect the terms in -4*o**2 - 12155118 + 2*o**3 + 12155118 + 4*o**2.
2*o**3
Collect the terms in -90*i**3 + 32*i**3 + 31*i**3 + 2 + 22*i**3.
-5*i**3 + 2
Collect the terms in 370*g**3 - 369*g**3 - 48*g**2 + 120*g**2.
g**3 + 72*g**2
Collect the terms in 38*l - 73*l + 1035*l**2 + 35*l.
1035*l**2
Collect the terms in -366082*t - 4*t**3 + 11*t**3 + 366082*t.
7*t**3
Collect the terms in 12*m**2 - 22*m**2 + 598*m + 12*m**2.
2*m**2 + 598*m
Collect the terms in 8554*w**2 + 12 - 12.
8554*w**2
Collect the terms in -11*k - 20*k + 12*k - 12*k + 48*k - 12*k.
5*k
Collect the terms in 654*p**2 - 1304*p**2 + 635*p**2.
-15*p**2
Collect the terms in -1033 - 48*n**3 - 1035 + 2064.
-48*n**3 - 4
Collect the terms in -10141*j**2 + 4*j - 4*j.
-10141*j**2
Collect the terms in 6*f**3 + 88*f**2 - 166*f**2 + 80*f**2.
6*f**3 + 2*f**2
Collect the terms in -18*r**2 + 715*r + 712*r - 1427*r.
-18*r**2
Collect the terms in 6*j**2 - 53*j**2 + 9*j**2 + 39*j**2.
j**2
Collect the terms in 20710567*j**2 - 20710567*j**2 + 2*j**3.
2*j**3
Collect the terms in 767*n + 1191*n + 1009*n - 836*n + 1082*n.
3213*n
Collect the terms in 178*h**2 - 358*h**2 + 182*h**2.
2*h**2
Collect the terms in -2598*q**3 + 2460*q**3 + 4982*q**3.
4844*q**3
Collect the terms in 57608 - 19197 - 19208 - 19203 - 2*z**3.
-2*z**3
Collect the terms in a + 2484*a**2 - 4*a - a - 3134*a**2.
-650*a**2 - 4*a
Collect the terms in -5 + 93*h**3 - 122*h**3 + 59*h**3.
30*h**3 - 5
Collect the terms in -7342*m - 1293*m - 678*m.
-9313*m
Collect the terms in 3*t + 11*t + 2655 - 6*t - 3*t.
5*t + 2655
Collect the terms in -43*f + 12367 + 12364 + 12361 - 37092.
-43*f
Collect the terms in -6 - 34*k - 21 + 31*k + 8.
-3*k - 19
Collect the terms in -390 + 390 - 1915*a.
-1915*a
Collect the terms in 3*c**3 - 60*c + 28*c - 5*c**3 - 140 + 32*c.
-2*c**3 - 140
Collect the terms in 4451*m**2 - 2136*m**2 - 2094*m**2.
221*m**2
Collect the terms in -14*f**2 + 75*f**2 - 32*f**2 - 11*f**2 - 10*f**2.
8*f**2
Collect the terms in -819*x + 1694*x - 829*x.
46*x
Collect the terms in 236*k**3 - 26*k**3 + 207*k**3 - 30*k**3 + 270*k**3.
657*k**3
Collect the terms in -1199*j - 1 + 1066*j**3 + 1 + 1199*j.
1066*j**3
Collect the terms in -8*d**2 + 97*d + 6*d**2 - 12*d.
-2*d**2 + 85*d
Collect the terms in -353486*p**2 + 176764*p**2 + 176720*p**2.
-2*p**2
Collect the terms in 17*w + 3419 - 3419.
17*w
Collect the terms in 229 - 34*j - 120 - 109.
-34*j
Collect the terms in -53 + 156 - 59 - 13*t - 44.
-13*t
Collect the terms in 13 + 68 - 81 + 24*a.
24*a
Collect the terms in 6 - 34*u - 33*u - 32*u + 134*u - 34*u.
u + 6
Collect the terms in 23445*v - 11709*v - 11716*v.
20*v
Collect the terms in 269*b**2 - 1315*b**2 - 993*b + 993*b.
-1046*b**2
Collect the terms in -72*y + 12645 - 12645.
-72*y
Collect the terms in v - 2*v - 41*v**2 - 2*v - 6*v**2.
-47*v**2 - 3*v
Collect the terms in -33 - 2072*c - 31 + 66.
-2072*c + 2
Collect the terms in 7 - 10 + 3 + 54*i**2.
54*i**2
Collect the terms in 4219*m**3 + 3388*m**3 + 51*m**3 + 4249*m**3.
11907*m**3
Collect the terms in -596*a**2 + 6072*a**2 + 1272*a**2.
6748*a**2
Collect the terms in 6*q + 22780 - 22780 + 4*q.
10*q
Collect the terms in 1623*i - 811*i - 805*i.
7*i
Collect the terms in -6*h**2 - 59181 + 59181 + 9*h**2.
3*h**2
Collect the terms in 7*f**3 - 17*f**3 - 16*f**3.
-26*f**3
Collect the terms in 605*c + 544*c + 848*c - 190*c - 273*c.
1534*c
Collect the terms in -11*d**2 + 12*d**2 - 5*d**2 + 25*d**2 + 16*d**2.
37*d**2
Collect the terms in 3253 - 3253 + 56*u - 44*u.
12*u
Collect the terms in -14182*f**2 + 42545*f**2 - 14183*f**2 - 14190*f**2.
-10*f**2
Collect the terms in -22*z + 4*z + 3*z + 24*z + 13*z.
22*z
Collect the terms in -21*x + 378948 - 378948 - 24*x.
-45*x
Collect the terms in 218 + 235 + 3*j + 773.
3*j + 1226
Collect the terms in 864246 - 432062 - 3*q**2 - 432184.
-3*q**2
Collect the terms in 109366*h - 28642*h + | {
"pile_set_name": "DM Mathematics"
} |
0338980 a multiple of 55?
True
Is 1786125320 a multiple of 14?
True
Is 15917600 a multiple of 100?
True
Does 9 divide 24763341?
False
Is 516 a factor of 23566010?
False
Is 1118300802 a multiple of 851?
True
Does 3551 divide 105326211?
True
Does 909 divide 143492500?
False
Is 27506003 a multiple of 62?
False
Is 80 a factor of 2650656980?
False
Is 18 a factor of 743220?
True
Is 265732250 a multiple of 2?
True
Is 5810440356 a multiple of 18774?
True
Does 3051 divide 430965954?
True
Is 9930372 a multiple of 218?
False
Does 319 divide 31940832?
True
Is 2 a factor of 4255926?
True
Does 22 divide 299538976?
True
Does 107 divide 419448560?
True
Is 914144103 a multiple of 9422?
False
Does 890 divide 14683220?
True
Is 1697046056 a multiple of 1784?
True
Is 4077 a factor of 3729762863?
False
Is 666992089 a multiple of 117?
False
Is 57 a factor of 164411067?
False
Is 934003020 a multiple of 271?
False
Is 4 a factor of 4313888?
True
Is 735 a factor of 1695941482?
False
Is 1165 a factor of 39921264?
False
Is 151306119 a multiple of 314?
False
Does 33 divide 27182024?
False
Is 5 a factor of 53952240?
True
Is 116546465 a multiple of 35?
True
Is 33107105 a multiple of 578?
False
Does 44 divide 2050704?
False
Is 36 a factor of 3338403?
False
Is 1301 a factor of 1298591504?
False
Does 72 divide 244474977?
False
Does 6674 divide 1546012078?
True
Is 78124243 a multiple of 227?
False
Is 29328768 a multiple of 3637?
True
Is 4088824 a multiple of 7?
False
Is 22 a factor of 4310033816?
True
Does 39 divide 658102770?
True
Is 9 a factor of 29828286?
True
Is 49986980 a multiple of 655?
True
Does 4104 divide 271385208?
True
Is 11572541 a multiple of 35?
False
Is 311 a factor of 67325591?
True
Does 726 divide 668221290?
True
Is 437127398 a multiple of 12?
False
Is 49 a factor of 31238376?
False
Is 2556787 a multiple of 11?
False
Is 4073396 a multiple of 26?
False
Is 3342 a factor of 46396986?
True
Is 120 a factor of 4051912?
False
Is 5000402400 a multiple of 161?
True
Does 142 divide 686801336?
False
Is 227 a factor of 48112877?
True
Does 3955 divide 5867543548?
False
Does 564 divide 27259812?
True
Is 153061910 a multiple of 4?
False
Is 7948 a factor of 449999864?
True
Is 84927447 a multiple of 6?
False
Does 264 divide 11989291?
False
Is 470779980 a multiple of 4633?
False
Does 38 divide 23203079?
False
Does 8 divide 22829855?
False
Is 9 a factor of 1886410?
False
Is 9 a factor of 351038129?
False
Is 435730610 a multiple of 2807?
True
Is 159 a factor of 65287467?
True
Is 32 a factor of 29314859?
False
Is 192142 a multiple of 67?
False
Is 13 a factor of 32958237?
True
Is 2958 a factor of 623345256?
True
Is 6142 a factor of 1663130760?
True
Is 1365 a factor of 1524790995?
True
Is 3372922205 a multiple of 155?
False
Does 15 divide 2310633165?
True
Is 6565779 a multiple of 157?
False
Is 10407328 a multiple of 23?
False
Is 2734 a factor of 2921655369?
False
Is 17085185 a multiple of 2015?
True
Is 10 a factor of 520952971?
False
Is 1505434141 a multiple of 6878?
False
Does 611 divide 3907076?
False
Does 1882 divide 63551376?
True
Is 233973729 a multiple of 455?
False
Is 308217400 a multiple of 7400?
True
Does 26 divide 27921738?
True
Is 203 a factor of 2204640862?
False
Is 6525639 a multiple of 11?
False
Is 2787807 a multiple of 3?
True
Is 178097019 a multiple of 452?
False
Is 178 a factor of 451175420?
False
Is 61079579 a multiple of 31?
True
Is 1129474240 a multiple of 243?
False
Is 229 a factor of 97315840?
True
Is 7777946686 a multiple of 11?
False
Does 1489 divide 116554323?
False
Is 63629202 a multiple of 6?
True
Is 35 a factor of 712789871?
False
Is 1243620 a multiple of 105?
True
Is 1452310458 a multiple of 448?
False
Does 26 divide 1259431964?
False
Does 8 divide 1491379?
False
Does 642 divide 72982916?
False
Does 3225 divide 502572273?
False
Is 25670260 a multiple of 374?
False
Is 26104672 a multiple of 176?
True
Is 22994320 a multiple of 23?
False
Is 572 a factor of 1204466716?
False
Is 32 a factor of 98481301?
False
Does 48 divide 145025448?
False
Is 497485101 a multiple of 1609?
True
Is 87 a factor of 19378819?
False
Is 119 a factor of 19008584?
True
Does 12 divide 5965694?
False
Is 46077537 a multiple of 521?
False
Does 475 divide 23761476?
False
Does 26 divide 644866716?
True
Is 11244146 a multiple of 2790?
False
Does 2264 divide 178831096?
True
Is 26 a factor of 2372973009?
False
Is 66636413 a multiple of 188?
False
Does 5 divide 1263207885?
True
Does 6314 divide 1470454832?
True
Does 2550 divide 2119483500?
True
Is 3370176 a multiple of 48?
True
Does 102 divide 50761353?
False
Is 18446816 a multiple of 4?
True
Is 15 a factor of 434600036?
False
Does 32 divide 946807169?
False
Is 297 a factor of 113563515?
False
Is 435052201 a multiple of 27?
False
Is 1065 a factor of 132393253?
False
Is 3222634 a multiple of 853?
True
Does 5186 divide 16946238?
False
Does 2213 divide 226190730?
True
Is 10086093 a multiple of 7?
False
Is 4 a factor of 1373337395?
False
Does 285 divide 123941085?
True
Does 309 divide 4428897?
True
Does 27 divide 159831225?
True
Is 676457829 a multiple of 332?
False
Does 20 divide 9617760?
True
Is 28490848 a multiple of 1448?
True
Does 2384 divide 2855237755?
False
Does 6 divide 19142862?
True
Does 194 divide 22725548?
True
Is 115426411 a multiple of 56?
False
Does 372 divide 368224065?
False
Is 37 a factor of 2966808750?
False
Is 2680 a factor of 695646722?
False
Is 114 a factor of 1313997858?
True
Does 866 divide 265707852?
True
Is 46 a factor of 63808302?
True
Is 25740000 a multiple of 551?
False
Is 65668434 a multiple of 2054?
True
Is 4154 a factor of 73087114?
False
Does 1159 divide 2342020738?
False
Is 26 a factor of 44492637?
False
Does 1754 divide 10670250?
False
Is 64 a factor of 348711232?
True
Is 886705228 a multiple of 25?
False
Does 169 divide 663929175?
True
Does 1211 divide 52123377?
False
Is 2157 a factor of 65411025?
True
Is 3375735 a multiple of 27?
False
Is 13903280 a multiple of 12?
False
Does 353 divide 326957041?
False
Is 73931840 a multiple of 40?
True
Is 11519 a factor of 550200669?
False
Is 145 a factor of 203872175?
True
Is 886 a factor of 571435446?
True
Does 3 divide 81658371?
True
Is 20 a factor of 283000025?
False
Does 41 divide 1226649644?
True
Is 212318095 a multiple of 1010?
False
Does 141 divide 18174039?
False
Is 47965344 a multiple of 56?
True
Is 13 a factor of 167722416?
False
Is 48 a factor of 336537233?
False
Is 529333624 a multiple of 17?
True
Is 14 a factor of 116472978?
False
Is 11452207 a multiple of 381?
False
Is 275733890 a multiple of 295?
False
Is 3551 a multiple of 3?
False
Is 648 a factor of 2084078808?
True
Is 4617 a factor of 2175862824?
True
Is 2505360 a multiple of 880?
True
Does 38 divide 17210390?
True
Is 212 a factor of 4525934?
False
Does 37 divide 956018136?
True
Does 1129 divide 32300442?
False
Is 586175906 a multiple of 648?
False
Is 90 a factor of 2769769800?
True
Is 31 a factor of 6509628?
True
Is 4817252 a multiple of 242?
True
Does 720 divide 14179680?
True
Does 844 divide 164123396?
True
Is 1031768727 a multiple of 3201?
True
Does 1255 divide 494770769?
False
Is 18473987 a multiple of 246?
False
Does 302 divide 111482394?
True
Is 506562192 a multiple of 1292?
True
Is 988697208 a multiple of 439?
False
Does 7 divide 172439302?
True
Does 68 divide 65027856?
True
Is 542608432 a multiple of 656?
True
Does 2759 divide 1057836395?
False
Does 382 divide 15082556?
False
Does 34 divide 69326068?
True
Does 1763 divide 1916381?
True
Does 33 divide 7248207031?
False
Is 177411371 a multiple of 24?
False
Is 3284 a factor of 36317596?
False
Does 4418 divide 18228668?
True
Is 81 a factor of 23329296?
True
Does 645 divide 220266174?
False
Is 27021309 a multiple of 18?
False
Is 729 a factor of 341204076?
True
Is 163174287 a multiple of 303?
True
Is 690 a factor of 1180511340?
True
Does 6 divide 431292870?
True
Is 5737017 a multiple of 129?
True
Does 33 divide 26666739?
True
Is 1364684334 a multiple of 1869?
False
Does 13 divide 693910057?
False
Is 169265414 a multiple of 45?
False
Is 31802712 a multiple of 218?
True
Is 78 a factor of 61603698?
True
Does 15 divide 52022880?
True
Does 109 divide 199285136?
True
Is 374139878 a multiple of 1637?
False
Is 208258245 a multiple of 13?
True
Is 57 a factor | {
"pile_set_name": "DM Mathematics"
} |
836. Let t = a + -50.2. Round t to one dp.
1
Let y = 26877876.149247 + -26877893. Let h = y - -16.85. Round h to 3 dps.
-0.001
Let f = -46.7915 - -46.6. Let a = 0.0195 - f. Round a to 2 decimal places.
0.21
Let m = -1998.253 - 0.747. Let u = 953 + m. Let g = u - -1045.999999481. What is g rounded to seven dps?
-0.0000005
Let w = 9360 + 10004. What is w rounded to the nearest 1000?
19000
Let z = 275753 + -276100.647. Let j = z + 347. Let p = j - -0.65. Round p to 2 decimal places.
0
Let y = 11.893 - -0.207. Let o = -11.7343014 + -0.3657078. Let z = o + y. What is z rounded to six dps?
-0.000009
Let y = 31 + -533. Let m = 501.9752 + y. Round m to 2 decimal places.
-0.02
Let w = -969 - -538. Let v = w + 431.000722. What is v rounded to 4 decimal places?
0.0007
Let s = -28175 + 100739. Round s to the nearest 10000.
70000
Let y = 7042 - 8726.8. What is y rounded to the nearest 100?
-1700
Let l = -14972 + 14972.00046595. What is l rounded to six decimal places?
0.000466
Let a(o) = o - 1. Let d be a(7). Suppose -3*y + 0*y + d = 0. Let p(t) = 3650000*t**2 - t + 2. Let x be p(y). Round x to the nearest 1000000.
15000000
Let f = -0.16845 + 0.168380686. What is f rounded to 6 dps?
-0.000069
Let w = 87 - 72. Suppose 12*v - w = 7*v. Suppose -2*f = -3*a - 1600009, -a = v*f + 4*a - 2399985. Round f to the nearest 1000000.
1000000
Let z = 58.3591 - 59.02793309. Let k = z - -0.06883152. Let h = k - -0.6. What is h rounded to seven dps?
-0.0000016
Let s = 69195725 - 48544760. Let h = -20650963.5600077 + s. Let l = -1.44 + h. Round l to 6 dps.
-0.000008
Let c = 8.18 - -5.46. Let b = c + -15. Let s = -21.76 - b. Round s to the nearest integer.
-20
Let d = 617 - 1023. Let n = 405.606 + d. Round n to two dps.
-0.39
Suppose -6*s + 2*s + 2 = -5*d, -d - 7 = -3*s. Let u = 3 - -712. Suppose 0 = -4*c + 3*f + u, d*f = -2*c - 2*f + 352. Round c to the nearest 10.
180
Let q(f) = -82*f**3 + 3*f**2 + f - 1. Suppose -65*r = -56*r + 9. Let z be q(r). What is z rounded to the nearest ten?
80
Let x = -122 - -122.632. Let j = -0.218 + x. Round j to 1 dp.
0.4
Let l = 109737.123337 + -109737. Round l to 2 dps.
0.12
Let i(b) = 9877*b**3 + 37*b**2 + 19*b + 83. Let l be i(-33). What is l rounded to the nearest 1000000?
-355000000
Let s be -36*5/(-330) - (-493776812)/(-22). What is s rounded to the nearest one million?
-22000000
Suppose -2089 = -4*q - 5*s + 146, -3*s = 5*q - 2797. Let v be 3153/(-9) + 2/6. Let o = v + q. What is o rounded to the nearest 100?
200
Suppose -152*k + 153*k + 2*u = -1605986, 0 = k - 4*u + 1606028. Round k to the nearest 100000.
-1600000
Let c = -38.155305 + 38.23. Round c to 3 dps.
0.075
Let k(s) = 2*s**2 + 20*s + 16. Let j = 49 - 44. Let c(g) = g**2 + 13*g + 11. Let x(l) = j*k(l) - 8*c(l). Let i be x(4). Round i to the nearest integer.
8
Let n = -139710 - 626726. Let a = n - -766590.0302. Let z = a - 154. Round z to 2 decimal places.
0.03
Let i = 4305.3978 - 4304. What is i rounded to one decimal place?
1.4
Suppose -672*w + 675*w = 2*j - 119988018, -179982006 = -3*j + w. What is j rounded to the nearest one hundred thousand?
60000000
Let g = 3754.8139 + -0.8139. Let b = g - 3754.7662. Round b to 1 decimal place.
-0.8
Let m = 6.04 + -6.543. Let k = 0.502975 + m. Round k to 5 dps.
-0.00003
Let w = -538 - 591. Let i = 1128.999381 + w. What is i rounded to 5 decimal places?
-0.00062
Let x = 0.08824 + -49.62724. What is x rounded to the nearest ten?
-50
Let u = -536.0282 + 536.1. Round u to one dp.
0.1
Let r = -12891148 + 12891176.900074. Let y = r + -28.9. What is y rounded to five decimal places?
0.00007
Let z = 4934.68952039 + -4932.66151. Let g = z - 2.028. Round g to six dps.
0.00001
Let g = 0.223146211 - 22.223136761. Let q = 22 + g. Round q to 6 dps.
0.000009
Let v(d) = 4720*d**3 - 14*d**2 + 37*d + 56. Let u be v(34). Suppose -2*y - 4*p = -3*y + 37099992, 5*y - u = -5*p. Round y to the nearest one million.
37000000
Let c = -6599067077.9998138 + 6599068519. Let j = 1441 - c. What is j rounded to 5 dps?
-0.00019
Let u = 89 + -128. Let r = -15 - u. Let t = 24.00183 - r. What is t rounded to four decimal places?
0.0018
Let t(a) = 90*a**2 - 3*a - 27. Let w be t(-3). Let n be w/(-18)*25*44. What is n rounded to the nearest one thousand?
-48000
Suppose 0*b - 15 = 3*b. Let n be (-18)/b - (-4)/10. Let k(i) = 8*i + 4. Let g be k(n). Round g to the nearest ten.
40
Let f = -45 + 45. Let q be (f - -335)/(1/3 - 0). Let s be 3/(9/18510)*(q - 5). Round s to the nearest one million.
6000000
Let p = 629019 + -629484.0438. Let x = -465 - p. Round x to three dps.
0.044
Suppose -74*s = -75*s + 55716. Suppose -s = 7*y + 73084. Round y to the nearest 10000.
-20000
Let u = 23490382779.00001597 - 23490382897. Let j = -118 - u. What is j rounded to five decimal places?
-0.00002
Suppose 2*f - 12379243 = -2*p + 6520761, -f + 18900002 = 2*p. Suppose 19*n = 24*n + p. Round n to the nearest 100000.
-1900000
Let n = -46672018740.00000039 - -46672018552. Let c = n + 188. What is c rounded to seven decimal places?
-0.0000004
Suppose 2*p + 37518 = -2*w, -w = -342 + 343. What is p rounded to the nearest 1000?
-19000
Let m = 2920 - 2920.3254. Round m to two dps.
-0.33
Let g = -30313785141.80049943 - -30313782190. Let s = g + 2949.8005. Let n = 2 + s. Round n to 7 dps.
0.0000006
Let l = 32.89088 - 32.68. Round l to 2 dps.
0.21
Let g = 26848.99947859 + -26849. Round g to four dps.
-0.0005
Let v(k) = 2*k**2 + 29*k + 3. Let f be v(-14). Let g be (-523212)/(-44) + 2/f. Let x = g + -8231. Round x to the nearest one hundred.
3700
Let j(l) = l**3 - 8*l**2 + 5*l + 16. Let d be j(7). Suppose -u + 6 = d*u, 5*q = -3*u - 30264. Let b = q - -246054. Round b to the nearest one hundred thousand.
200000
Let g = 21079.999977877 - 21080. Round g to six decimal places.
-0.000022
Suppose -14*f = 151*f + 64262550000. What is f rounded to the nearest one million?
-389000000
Let z(f) be the third derivative of -f**5/20 - 47*f**4/24 - 4*f**3 + f**2 + 20*f. Let i be z(-16). What is i rounded to the nearest ten?
-40
Let i = -5.1554269 - -5.2007. Let b = 0.0453 - i. Round b to six decimal places.
0.000027
Suppose -4*p + 108 - 48 = 0. Suppose 1233 = 18*f - p*f - 3*c, -c - 1233 = -3*f. What is f rounded to the nearest 10?
410
Let f = 22450.5 - 24620. Round f to the nearest 1000.
-2000
Let n = 181 + -180.921. Let g = n - 0.819. Let i = g + 0.740224. Round i to 5 decimal places.
0.00022
Let v = 11.609 + -11.611243. Round v to three decimal places.
-0.002
Let z(r) = -5292*r**2 - 23*r - 105. Let i be z(-5). Round i to the nearest 1000.
-132000
Suppose 2*m - 4 = 0, -2*c + 2 = -3*m + 8*m. Let j be (-1205 + -25)*c/6. Round j to the nearest 100.
800
Let r = 647.9539 + -648. Let c = r + 6.2361. Round c to the nearest integer.
6
Let y = 39.1884488 - 39.195. What is y rounded to three dps?
-0.007
Suppose -4*k + k + 6 = 0. Suppose -3*i - 60 = -2*j + k*i, 0 = 5*j - 5*i - 120. Suppose 26*u = 21*u - j. What is u rounded to the nearest 10?
0
Let j = 4.01543 - 3.981. Round j to 4 dps.
0.0344
Suppose h = 5*p + 66358884 + 1238091114, -521780004 = 2*p + 2*h. Round p to the nearest one million.
-261000000
Let x = 643 + -643.0731. Let l = x + 0.015. Round l to three dps.
-0.058
Let o = -959.414 - -947.8. Round o to one decimal place.
-11.6
Let v = 4425384889 + -4425385399.0000038. Let r = -510 - v. What is r rounded to 5 dps?
0
Let x = 180192980 - 180193268.0000075. Let o = -288 - x. What is o rounded to six decimal places?
0.000008
Let q = 100.81 - 105.389. Let k = 5.134 - q. Let o = 0.087 + k. What is o rounded to the nearest integer?
10
Let x = -1361104080.40000595 - -1361103497.4. Let m = 583 + x. Round m to 6 dps.
-0.000006
Let t = 49467 + -49467.00100077. Round t to 5 decimal places.
-0.001
Let b = 4783919 + -2999919. What is b rounded to the nearest one hundred thousand?
1800000
Let o = 140 - 138.54. Let s = 334.54 + o. Let a = 336.00000261 - s. Round a to seven decimal places.
0.0000026
Suppose 2*l - 5 = -j - 1, l = -2*j - 1. Suppose 4*r = 12, 4*u + 0*u + 485 = l*r. What is u rounded to the nearest ten?
-120
Let h = 0.324 + -0.4. Let u = h - 58.924. Let p = u - -59.218. What is p rounded to two decimal places?
0.22
Let m = 18 + 51. Let d = 68.886 - m. What is d rounded to 2 decimal places?
-0.11
Let m = -171242 + 171241.9928203. W | {
"pile_set_name": "DM Mathematics"
} |
- 23*t - 57. Let d(g) = -53*g**2 - 34*g - 85. Give 5*d(n) - 7*x(n).
n**2 - 9*n - 26
Let h(x) = 2*x**3 + x**2 + 3. Let y(q) = 2 - 3*q**2 - 9 + 16 + 6 - 6*q**3 - 25. Let n = 5 - 7. Determine n*y(r) - 7*h(r).
-2*r**3 - r**2 - 1
Let i(k) = -36*k**2 + 2*k - 32 + 32 + 82*k**2 + 5*k**3 - 48*k**2. Let d(s) = 21*s**3 - 9*s**2 + 9*s + 1. What is -2*d(u) + 9*i(u)?
3*u**3 - 2
Let x(u) = -u**2 + 7*u. Let v be (0*(-1)/(-5))/(-3). Suppose -2*i + z - 11 = v, -i - 19 = -5*z + 9. Let c(r) = 3*r**2 - 20*r. Give i*c(a) - 8*x(a).
-a**2 + 4*a
Let k be -6 + 13/(52/20). Let o(j) = 6*j**2 - 2*j + 2. Let g be o(1). Let t(p) = 2*p**3 - 3*p**2 + 6. Let c(x) = -x**2 + 1. Give g*c(d) + k*t(d).
-2*d**3 - 3*d**2
Let c(x) = -5*x**2 - 3. Let s(h) = -h + 2 - 2. Let r(p) = c(p) - 3*s(p). Let l(z) = 5*z - 13 - 10*z**2 + 10 - 2. Calculate 3*l(w) - 5*r(w).
-5*w**2
Let n(r) = 3*r + 4208 - 37*r**2 - 4208. Let t(v) = -3663*v**2 + 296*v. What is 296*n(a) - 3*t(a)?
37*a**2
Let b(x) = 10*x**3 - 11*x**2 - 10*x + 67. Let a(l) = 5*l**3 - 6*l**2 - 6*l + 33. Calculate 7*a(y) - 4*b(y).
-5*y**3 + 2*y**2 - 2*y - 37
Let y(u) = -9*u**2 - 2*u - 1. Let p(l) = 45*l**2 + 6*l + 13. Determine p(a) + 2*y(a).
27*a**2 + 2*a + 11
Let a(v) = v**3 - v. Suppose -4*b = u - 10, -104 + 42 = -4*u - 5*b. Let w(l) = u*l - 1501 - 15*l**3 + 1501. What is -18*a(i) - w(i)?
-3*i**3
Let t(g) = 3*g**2 + 1. Let l be 4 + 11 + -10 + -3. Suppose 3*i = 8*i + 70. Let f = i - -3. Let c(v) = 16*v**2 - v + 4. Give f*t(y) + l*c(y).
-y**2 - 2*y - 3
Let n(k) = -92*k**2 - 2*k + 24. Let z(f) = -368*f**2 - 9*f + 92. Calculate -23*n(u) + 6*z(u).
-92*u**2 - 8*u
Let l = -16062 + 16059. Let s(c) = 17*c. Let x(z) = 18*z. What is l*x(k) + 4*s(k)?
14*k
Suppose 510 = 369*r - 80 - 148. Let b(a) = -3*a - 6. Let q(c) = c. Give r*q(f) + b(f).
-f - 6
Let q(a) = -237*a - 1555. Let i(x) = 86*x + 518. Give 11*i(r) + 4*q(r).
-2*r - 522
Let f = 64 - 32. Suppose 2*q + f - 38 = 0. Let v(j) = -9*j**3 + 7*j**2 - 7. Let a(r) = -4*r**3 + 3*r**2 - 3. Give q*v(x) - 7*a(x).
x**3
Let l(g) = -375*g - 175. Let k(t) = -75*t - 32. What is 22*k(i) - 4*l(i)?
-150*i - 4
Let o(k) = k. Let a = -6779 + 6771. Let p(h) = -24*h. What is a*o(z) - p(z)?
16*z
Let o(z) = -343*z**2 + 21*z + 18. Let x(w) = -342*w**2 + 17*w + 15. Determine -5*o(m) + 6*x(m).
-337*m**2 - 3*m
Let n(x) = -4*x**3 - 7*x**2 - 205*x + 6. Let y(q) = -3*q**3 - 6*q**2 - 208*q + 5. Determine 6*n(m) - 7*y(m).
-3*m**3 + 226*m + 1
Let u(k) = -2*k + 3. Let b(f) = -4*f. Let d(y) = -21*y - 1. Let h(m) = 11*b(m) - 2*d(m). Suppose 16150 - 16186 = 12*s. Calculate s*h(j) + 2*u(j).
2*j
Let s(z) = 4*z**3 - 3*z**2 + 9*z. Let q(n) = -1787944 + 2*n**3 + 1787944 - n**2 + 4*n. What is -13*q(u) + 6*s(u)?
-2*u**3 - 5*u**2 + 2*u
Let i(q) = -13*q**2 - 3*q - 3. Let o(x) = 20*x**2 + 5*x + 4. Let l be 622/1866 + 60/9*10/(-8). Determine l*i(w) - 5*o(w).
4*w**2 - w + 4
Suppose 2*c - 5 + 7 = 0. Let l(s) = s**3 + 1. Let u(z) be the third derivative of z**6/30 + z**4/12 - z**3/6 - 21*z**2 - 1. Calculate c*l(q) + u(q).
3*q**3 + 2*q - 2
Let s(v) = -5*v**3 - 2*v**2 + 8*v - 2. Let x(a) = 2*a**3 + a**2 - 4*a + 1. Let r be 32/2 + 495 + -514. Calculate r*s(h) - 7*x(h).
h**3 - h**2 + 4*h - 1
Let h(q) = -57*q**3 + 5*q**2 + 18*q - 2. Let d(g) = 38*g**3 - 3*g**2 - 12*g + 1. Determine 8*d(n) + 5*h(n).
19*n**3 + n**2 - 6*n - 2
Let z(r) = -4*r**2 + 2*r + 5. Let k(l) = l**2 - l - 2. Determine -11*k(c) - 6*z(c).
13*c**2 - c - 8
Let f(m) = 4*m**2 - 29*m + 48. Let t be f(4). Let v(z) = 5*z + 6. Let i(s) = s**2 + s + 1. What is t*i(b) + v(b)?
-4*b**2 + b + 2
Let s(f) = f - 1. Let t(b) be the first derivative of -4*b**2 + 17*b + 333. Calculate 6*s(i) + t(i).
-2*i + 11
Let b(o) = -4*o - 2 - 11*o**2 + 4*o**2 - 2*o. Let r(p) = -4*p + 0*p - 6*p**2 - p - 2. Let k be -34 - (8 + 185*(-24)/120). What is k*b(c) + 6*r(c)?
-c**2 - 2
Let x(c) = 23*c**3 + 15*c**2 - 16*c - 8. Let t(q) = 22*q**3 + 16*q**2 - 12*q - 6. Determine -4*t(o) + 3*x(o).
-19*o**3 - 19*o**2
Let x(k) = -2936*k**2 + 2569*k - 2569. Let j(g) = g**2 - g + 1. Calculate 5138*j(n) + 2*x(n).
-734*n**2
Let c = -2362 + 2370. Let t(b) = -3*b - 10. Let a(z) = -2*z - 7. Give c*a(g) - 5*t(g).
-g - 6
Let s(a) = a**2 - 35. Let x be (-791)/(-2)*212/371. Let m = x + -221. Let u(v) = -5. What is m*s(l) - 35*u(l)?
5*l**2
Let n(c) = 17*c**2 - 45*c. Let k(s) = 3*s**2 + 8*s - 15. Let o(i) = -5*i**2 - 9*i + 21. Let j(w) = 7*k(w) + 5*o(w). What is 9*j(a) + 2*n(a)?
-2*a**2 + 9*a
Let n(r) = -3*r**3 - 2*r - 1. Let c(x) = -4*x**3 - x**2 - 3*x - 1. Let l be ((-276)/115 - (-8)/20) + -1. Give l*n(v) + 2*c(v).
v**3 - 2*v**2 + 1
Let s(a) = 3*a**2 - 2*a + 6. Let n(m) = -3*m**2 + 2*m - 5. Let c = -246 - -248. Suppose -t + c*d - 1 = d, 2*d = -5*t + 23. Give t*s(y) + 4*n(y).
-3*y**2 + 2*y - 2
Let k(m) = m**2 - 61*m + 775. Let l be k(18). Let p(i) = -2 + 3*i**2 - 7*i + 2*i**2 + 0*i**2. Let g(s) = -s**2 + s + 1. Determine l*p(r) + 4*g(r).
r**2 - 3*r + 2
Let g be (12/3 + -2)/1. Let y(w) = -w**3 + w**2 + w. Let c be 12/(-4) + 7 + -1. Let r(o) = 2*o**c - 5*o**3 - 2*o - 8*o**2 + 2*o**3 + 6*o**2. Give g*y(t) + r(t).
-3*t**3
Let t(v) = 2*v**3 - 3*v**3 - 137*v**2 - 1 + 0 + 138*v**2 - v. Let q(p) = 3*p**3 - 4*p**2 - p + 2. Give q(u) + 2*t(u).
u**3 - 2*u**2 - 3*u
Let v(s) = -24*s**3 - 36*s**2 - 3*s. Let c(n) = -6*n**3 - 9*n**2 - n. Determine -15*c(z) + 4*v(z).
-6*z**3 - 9*z**2 + 3*z
Let z(i) = -10*i - 13*i**2 + 15*i + 28*i**2 - 16*i**2 - 6*i - 1. Let o(u) = -6*u**2 - 3*u + 2. What is o(d) - 2*z(d)?
-4*d**2 - d + 4
Let z(i) = i**3 - 1. Let p be 15/(-18)*-3 + (-21)/(-14). Let a be p*(-22 + (20 - 4)/4). Let m = 74 + a. Let f(y) = -y**3 + y + 1. What is m*f(l) + 3*z(l)?
l**3 + 2*l - 1
Let t = -3183 - -3177. Let n(d) = -7*d**3 - 13*d**2 + 13*d + 17. Let r(s) = 3*s**3 + 6*s**2 - 6*s - 8. What is t*n(h) - 13*r(h)?
3*h**3 + 2
Let g = 163765 - 163760. Let i(s) = -4*s - 3. Let t(d) = 3*d + 2. Suppose 0 = -0*v + 3*v - 18. What is g*i(f) + v*t(f)?
-2*f - 3
Let g(a) = -4*a. Let u(w) = w. Let t(q) = q**2 + 3*q - 42. Let k be t(-5). Let p = -34 - k. Calculate p*g(i) - 11*u(i).
-3*i
Let c(v) = v**3 - 9*v**2 + 34*v + 5. Let r be (38/171 - (-3 + 74/9))*-1. Let j(g) = -4*g**2 + 17*g + 2. Give r*j(l) - 2*c(l).
-2*l**3 - 2*l**2 + 17*l
Let j(m) = 0*m + 5*m - 4*m. Let h(p) = -2949*p + 18. Let w(g) = -776*g + 5. Let i(l) = -5*h(l) + 19*w(l). What is -i(x) + 3*j(x)?
2*x - 5
Let b(i) = -2*i + 8. Let t(y) = y - 7. Let n(g) = g**2 - 394*g - 4461. Let o be n(-11). Calculate o*t(h) - 5*b(h).
4*h + 2
Let h = 2320 + -2322. Let o(v) = 6*v - 1. Let t(y) be the first derivative of -y**2/2 - 1. Calculate h*t(p) - o(p).
-4*p + 1
Let b(f) = 1860*f + 744. Let c(j) = -2*j + 3. Give b(n) - 248*c(n).
2356*n
Suppose -f - 1 + 18 = 4*k, 2*k = -4*f - 2. Let z(r) = 13*r**2 - 6*r + 7. Let g = 170 + -177. Let w(s) = 9*s**2 - 4*s + 5. What is g*w(p) + k*z(p)?
2*p**2 - 2*p
Let p(q) = -q + 1. Suppose -l + 0*v + 47 = -v, 4*l = -4*v + 204. Let k(r) = -1711 - l*r - 7*r + 1759. What is k(f) - 48*p(f)?
-8*f
Let f(z) = 40*z - 5. Let a(h) = 23*h - 3. Let c(s) = -7*a(s) + 4*f(s). Let m(q) = -2*q + 39. Calculate 4*c(o) - m(o).
-2*o - 35
Let y(i) be the second derivative of -i**5/10 + i**4/3 - i**3/3 - 56*i + 1. Suppose 0 = -6*k + 16 - 28. Let t(u) = u**3 - u**2 + u. Determine k*y(w) - 6*t(w).
-2*w**3 - 2*w**2 - 2*w
Let j(o) = o - 6. Let s(x) = 3. Let w(u) = 37*u + 271. Let i(l) = -7*l - 54. Let n(q) = -11*i(q) - 2*w(q). Let z be n(-18). What is z*j(c) - 5*s(c)?
-2*c - 3
Let b(l) = 32 + 3304*l**2 - 33 - 3305*l**2. Let j be -3 - 2*(0 + 1). Let m(r) = -4*r**2 + 3*r - 3. Determine j*b(t) + m(t).
t**2 + 3*t + 2
Let m(i) be the first derivative of 4*i**2 - 5*i + 626. Let t(g) = -17*g + 9. What is 5*m(l) + 3*t(l)?
-11*l + 2
Let c(l) be the third derivative of l**4/12 - l**3/2 - 7*l**2. Let k(d) = -3 + 20*d - 18*d + 3 - 3. Give -4*c(f) + 3*k(f).
-2*f + 3
Let z(o) = 3*o - 5. Let n(s) be the first derivative of 2*s**2 - 4*s - 1069. Give 4*n(l) - 3*z(l).
7*l - 1
Let h(c) = -c**3 + 5*c. Suppose 5*a = -10*l - 5, -8*l + 12*l - 8 = 0. Let z(y) be the first derivative of 3*y**2 + 1 - 2 - 2*y**2. What is a*z(w) + 2*h(w)?
-2*w**3
Let u(a) = a + 3. Suppose 2*k = z - 6, 0 = -0*z - 2*z - k + 2. Let h(b) = 41. Let o(v) = -17. Let c(l) = 5*h(l) + 12*o(l). What is z*u(j) - 5*c(j)?
2*j + 1
Let g(o) = -o**2 - 17. Let l be g(0). Let | {
"pile_set_name": "DM Mathematics"
} |
25
What is eighteen fifths of a century in years?
360
Convert 708201.7 millennia to decades.
70820170
What is 11/8 of a gram in milligrams?
1375
How many millimeters are there in 3290.243um?
3.290243
How many centimeters are there in 3/10 of a kilometer?
30000
What is 0.3251298 hours in days?
0.013547075
How many months are there in one sixth of a year?
2
How many microseconds are there in 3/5 of a millisecond?
600
How many millilitres are there in 92822.79 litres?
92822790
What is six fifths of a century in decades?
12
How many litres are there in 0.967834 millilitres?
0.000967834
How many decades are there in 1.9648935 months?
0.0163741125
How many millimeters are there in three eighths of a meter?
375
How many millilitres are there in 3/50 of a litre?
60
What is 0.0289513 years in decades?
0.00289513
What is 6.128207ug in tonnes?
0.000000000006128207
What is 9872.141l in millilitres?
9872141
What is 1/6 of a century in months?
200
Convert 6871.281 years to months.
82455.372
Convert 10.29474ml to litres.
0.01029474
What is 1/5 of a decade in months?
24
Convert 0.7242427ml to litres.
0.0007242427
What is 27/5 of a kilometer in meters?
5400
Convert 924772.7ml to litres.
924.7727
How many micrograms are there in 1.153084 kilograms?
1153084000
How many seconds are there in twenty-eight thirds of a minute?
560
How many millilitres are there in six fifths of a litre?
1200
How many microseconds are there in 1/5 of a millisecond?
200
What is 73/5 of a litre in millilitres?
14600
What is 4/7 of a week in hours?
96
How many minutes are there in seven eighteenths of a week?
3920
What is 21/5 of a hour in seconds?
15120
What is five quarters of a litre in millilitres?
1250
What is 32/5 of a litre in millilitres?
6400
What is one fifth of a millennium in centuries?
2
What is 64090.91 nanoseconds in milliseconds?
0.06409091
Convert 86777.23kg to nanograms.
86777230000000000
What is 9.149064nm in kilometers?
0.000000000009149064
Convert 648.0307 litres to millilitres.
648030.7
How many seconds are there in one sixth of a minute?
10
Convert 149836.9 centuries to decades.
1498369
Convert 0.9629317 centimeters to micrometers.
9629.317
What is seven halves of a century in months?
4200
How many months are there in 247.0135 centuries?
296416.2
What is five quarters of a micrometer in nanometers?
1250
How many millimeters are there in 65.69375km?
65693750
Convert 22.5595t to kilograms.
22559.5
Convert 8.780461 days to nanoseconds.
758631830400000
What is 1.94775ml in litres?
0.00194775
What is 0.251822km in centimeters?
25182.2
How many millilitres are there in 3.667499l?
3667.499
How many decades are there in 2264.4 millennia?
226440
What is thirty-two fifths of a microgram in nanograms?
6400
What is one tenth of a litre in millilitres?
100
What is 222274.86 months in years?
18522.905
Convert 46834338.6 minutes to weeks.
4646.26375
How many kilometers are there in 5.251806mm?
0.000005251806
How many millimeters are there in 27/4 of a meter?
6750
What is eighty-eight fifths of a litre in millilitres?
17600
Convert 73656.48 seconds to nanoseconds.
73656480000000
What is 27/4 of a gram in milligrams?
6750
How many millimeters are there in 33/5 of a centimeter?
66
Convert 8273.322m to nanometers.
8273322000000
What is 7813.338 millilitres in litres?
7.813338
Convert 9.33511ng to tonnes.
0.00000000000000933511
How many meters are there in 25/4 of a kilometer?
6250
What is 599.682 days in seconds?
51812524.8
What is 350.648 centuries in years?
35064.8
What is 158540.1 minutes in microseconds?
9512406000000
How many seconds are there in thirty-one fifths of a minute?
372
What is 21/2 of a microgram in nanograms?
10500
What is one fifth of a litre in millilitres?
200
How many nanograms are there in 19/4 of a microgram?
4750
Convert 270.606 litres to millilitres.
270606
Convert 2.738871 microseconds to seconds.
0.000002738871
What is 99.595mm in centimeters?
9.9595
Convert 8.859578ml to litres.
0.008859578
How many millilitres are there in fifty-nine fifths of a litre?
11800
What is 1/6 of a minute in milliseconds?
10000
What is 592653.5 meters in nanometers?
592653500000000
How many millilitres are there in 90733.69 litres?
90733690
How many milliseconds are there in 87892.22 days?
7593887808000
How many kilograms are there in 5/4 of a tonne?
1250
What is 7.80944 tonnes in kilograms?
7809.44
Convert 1.6355313 months to decades.
0.0136294275
How many kilograms are there in 2/125 of a tonne?
16
How many millilitres are there in twenty-nine fifths of a litre?
5800
How many kilograms are there in 15/4 of a tonne?
3750
Convert 9.654956 kilograms to grams.
9654.956
What is 10/3 of a millennium in months?
40000
What is 248.653m in kilometers?
0.248653
What is fifty-one quarters of a litre in millilitres?
12750
Convert 5.548374g to tonnes.
0.000005548374
Convert 45066.3m to nanometers.
45066300000000
What is 9/10 of a centimeter in micrometers?
9000
What is 8027.896 weeks in days?
56195.272
How many years are there in 6/5 of a decade?
12
How many micrograms are there in 7.428139 nanograms?
0.007428139
How many seconds are there in one sixteenth of a day?
5400
How many nanometers are there in 74/5 of a micrometer?
14800
How many millennia are there in 575030.3 years?
575.0303
How many micrometers are there in eleven halves of a centimeter?
55000
How many months are there in 7/3 of a century?
2800
How many nanometers are there in one tenth of a micrometer?
100
How many hours are there in five sixths of a day?
20
How many decades are there in 7132.336 centuries?
71323.36
How many meters are there in 5.00471mm?
0.00500471
Convert 89544.2ng to micrograms.
89.5442
What is nine tenths of a gram in milligrams?
900
What is five quarters of a litre in millilitres?
1250
What is 711206.6 decades in millennia?
7112.066
How many millilitres are there in twenty-seven fifths of a litre?
5400
What is 1.767632 millilitres in litres?
0.001767632
How many micrograms are there in fourty-five eighths of a milligram?
5625
How many milligrams are there in 86.18414kg?
86184140
How many hours are there in 3801925.8us?
0.0010560905
What is 2698.009us in nanoseconds?
2698009
What is three fifths of a kilometer in centimeters?
60000
What is eleven quarters of a tonne in kilograms?
2750
How many litres are there in 7852.069 millilitres?
7.852069
How many minutes are there in 24283.911ns?
0.00000040473185
What is 3/8 of a litre in millilitres?
375
What is 13/8 of a centimeter in micrometers?
16250
What is 0.2282748 nanograms in kilograms?
0.0000000000002282748
What is thirty-two fifths of a kilogram in grams?
6400
How many millilitres are there in three tenths of a litre?
300
How many seconds are there in five eighths of a day?
54000
What is 6/5 of a microsecond in nanoseconds?
1200
What is one fifth of a minute in milliseconds?
12000
What is seventy-one quarters of a millennium in decades?
1775
How many micrograms are there in 883477.7 kilograms?
883477700000000
What is 1/4 of a microgram in nanograms?
250
How many millilitres are there in five quarters of a litre?
1250
How many years are there in 0.8142041 millennia?
814.2041
How many centimeters are there in one quarter of a meter?
25
How many milligrams are there in 1/16 of a kilogram?
62500
How many seconds are there in 29/5 of a hour?
20880
What is three tenths of a meter in millimeters?
300
What is seventeen halves of a millennium in years?
8500
How many centuries are there in thirty-one fifths of a millennium?
62
How many grams are there in 17/4 of a kilogram?
4250
How many millilitres are there in seven halves of a litre?
3500
How many months are there in 9/10 of a millennium?
10800
How many milligrams are there in 0.2448152 kilograms?
244815.2
What is 27/2 of a litre in millilitres?
13500
Convert 2721.412 decades to centuries.
272.1412
Convert 47.84157 millilitres to litres.
0.04784157
How many milliseconds are there in one sixteenth of a minute?
3750
How many months are there in 60598.01 centuries?
72717612
What is 3/50 of a tonne in kilograms?
60
Convert 3894.628 grams to nanograms.
3894628000000
What is 13/5 of a micrometer in nanometers?
2600
How many minutes are there in 14/9 of a week?
15680
What is 50045.2l in millilitres?
50045200
What | {
"pile_set_name": "DM Mathematics"
} |
.
-174*q**2
Collect the terms in -6 + 464*m + 3 + 3.
464*m
Collect the terms in 9*x + 32*x**2 - 346*x**2 + 13*x - 32*x**2.
-346*x**2 + 22*x
Collect the terms in 76 - 32 - 5*w**2 - 32.
-5*w**2 + 12
Collect the terms in 9*s - 12 - 5*s + 14*s + 0 + 8.
18*s - 4
Collect the terms in -30 - 567*h**3 + 14 + 16.
-567*h**3
Collect the terms in 50 - 44 + 8*p - 7*p + 2*p - 14.
3*p - 8
Collect the terms in 3*a**3 - 3594*a + 3594*a - 3*a**3 - 3*a**3.
-3*a**3
Collect the terms in -407 + 1698*k + 216 + 191.
1698*k
Collect the terms in 1992*r - 1947*r + 4*r**3 - 6*r**3.
-2*r**3 + 45*r
Collect the terms in -60 - 72 - 711 - b - 2*b.
-3*b - 843
Collect the terms in -311*i + 66*i + 58*i + 60*i + 65*i + 61*i.
-i
Collect the terms in 1052*m - 527*m - 516*m.
9*m
Collect the terms in 10 - 5*x**3 - 22 - x**3 + 2*x**3.
-4*x**3 - 12
Collect the terms in -441 - 470 + 1874 - 2*b - 441 - 463.
-2*b + 59
Collect the terms in -173*z**3 + 49*z**3 + 40*z**3 + 39*z**3 + 46*z**3.
z**3
Collect the terms in -q**3 - 11*q**3 - 24*q**3 + q**3.
-35*q**3
Collect the terms in 788*y + 791*y - 1591*y.
-12*y
Collect the terms in -278 - 296 - 284 + 858 - 15*o**2.
-15*o**2
Collect the terms in 2 + 8893*k**2 + 8962*k**2 - 17957*k**2.
-102*k**2 + 2
Collect the terms in -54*c**2 - 61*c**2 - 77*c**2 - 63*c**2 + 253*c**2.
-2*c**2
Collect the terms in 300*r**3 - 202*r - 279*r**3 + 202*r.
21*r**3
Collect the terms in 2*k + 147 + 198 + k - 25.
3*k + 320
Collect the terms in 418 + 3*g - 3*g - g - 849.
-g - 431
Collect the terms in 18*h - 29*h - 207*h.
-218*h
Collect the terms in -735*z**3 + 3 - 2 - 89*z**3 + 0.
-824*z**3 + 1
Collect the terms in -109*g + 9 + 4 + 4 - 16.
-109*g + 1
Collect the terms in 888*j - 2159*j + 1116*j.
-155*j
Collect the terms in -128 + p - 139 - 142 + 399.
p - 10
Collect the terms in -7 - 27 - 62*z - z**2 + 2.
-z**2 - 62*z - 32
Collect the terms in -7*f**3 - 442*f**2 + 3*f**3 + 2046*f**2.
-4*f**3 + 1604*f**2
Collect the terms in -2548201 - s + 2548201.
-s
Collect the terms in 253*j - 500*j + 10 + 247*j - 17 - 2*j**2.
-2*j**2 - 7
Collect the terms in -5*w - 53*w**2 - 4 + 24 + 5*w + 52*w**2.
-w**2 + 20
Collect the terms in -751*s - 830*s - 2*s**3 - 748*s + 2329*s.
-2*s**3
Collect the terms in 210738*k**2 - 160632*k**2 + 494503*k**2.
544609*k**2
Collect the terms in 0*i**3 - 5*i**3 + 270*i + 4*i**3.
-i**3 + 270*i
Collect the terms in 19*f + 443 - 2*f - 186 - 257 - 2*f**3.
-2*f**3 + 17*f
Collect the terms in 3*y - 3*y + 429*y**3 - 209*y**3 - 228*y**3.
-8*y**3
Collect the terms in -32*b**2 + 335 - 2*b**3 - 669 + 334 + 74*b.
-2*b**3 - 32*b**2 + 74*b
Collect the terms in -o**3 - 3359*o**2 + 9504*o**2 - 78 + 78.
-o**3 + 6145*o**2
Collect the terms in 807*d + 1414*d - 464*d + 568*d.
2325*d
Collect the terms in -8 - 18*r**3 - 29*r**3 + 4*r**3.
-43*r**3 - 8
Collect the terms in 959996*j - 959996*j + 4*j**3.
4*j**3
Collect the terms in 11 + 8 + q + 18 - 20.
q + 17
Collect the terms in -703*a + 378*a - 11*a**3 + 325*a.
-11*a**3
Collect the terms in i - 3*i - 4*i - 14*i + 24*i.
4*i
Collect the terms in 398*p**3 - 389*p**2 + 389*p**2 - 401*p**3.
-3*p**3
Collect the terms in 67*l + 69*l - 269*l + 54*l + 66*l + 60*l.
47*l
Collect the terms in 78 - 24 + 8*u**2 - 20 - 34.
8*u**2
Collect the terms in -24*r**2 + 24*r**2 - 3504*r**3 - 4896*r**3.
-8400*r**3
Collect the terms in 1854*c**2 - 604*c**2 - 624*c**2 - 630*c**2.
-4*c**2
Collect the terms in -381*o - 66*o - 1 + 0 - 39*o.
-486*o - 1
Collect the terms in -16 + 5 + 11 + 586049*v**2.
586049*v**2
Collect the terms in 19*w**3 + 15083 - 15083 - 15*w**3.
4*w**3
Collect the terms in 82*l + 84*l - 259*l + 13759 - 13759 + 87*l.
-6*l
Collect the terms in -11621*s - 7716*s - 1105*s.
-20442*s
Collect the terms in -57*y - 49*y - 51*y - 66*y + 231*y.
8*y
Collect the terms in -25*c - 30334*c**3 - 41*c + 30332*c**3.
-2*c**3 - 66*c
Collect the terms in -4*t**2 - 104 - 107 + 214.
-4*t**2 + 3
Collect the terms in 3410*q + 1 - 1 - 832*q + 1550*q.
4128*q
Collect the terms in 5448*n + 5449*n - 21805*n + 5448*n + 5455*n.
-5*n
Collect the terms in 177600*w**2 - 177605*w**2 + 3*w - 3*w.
-5*w**2
Collect the terms in 2*d - 1051 + 2130 - 1079.
2*d
Collect the terms in -16*o - 11*o + 19*o + 18 - 21.
-8*o - 3
Collect the terms in -140*v - 249*v + 42*v.
-347*v
Collect the terms in -k - 281*k**2 + 162*k**2 + 2*k - k + 117*k**2.
-2*k**2
Collect the terms in -1174*k**2 - 1081*k**2 + 2261*k**2.
6*k**2
Collect the terms in 193*s**2 + 194*s**2 + 199*s**2 + 187*s**2 - 745*s**2.
28*s**2
Collect the terms in -3249*s - 9536*s - 8648*s - 2286*s.
-23719*s
Collect the terms in 37 + 61*q**3 + 6*q**3 - 37 - 18*q**3.
49*q**3
Collect the terms in -19*d**2 + 152*d**2 - 32*d**2 - 45*d**2 - 19*d**2.
37*d**2
Collect the terms in -6698*q**2 - 2*q + 2*q + 6701*q**2.
3*q**2
Collect the terms in 23860*b**3 - 47655*b**3 + 23825*b**3.
30*b**3
Collect the terms in 163*c**2 + 162*c**2 - 326*c**2 + 2 - 2.
-c**2
Collect the terms in -155 + 85 - 7*i - 125.
-7*i - 195
Collect the terms in -d - 241 - 2*d + 30.
-3*d - 211
Collect the terms in -385*b**3 + 3 + 870*b**3 - 3.
485*b**3
Collect the terms in 8*m + 84*m - 22*m + 67*m.
137*m
Collect the terms in -12821*n**3 - 23748*n**3 - 9604*n**3 - 52868*n**3.
-99041*n**3
Collect the terms in -367*d - 341*d + 1411*d - 348*d - 347*d.
8*d
Collect the terms in -9*b**3 + 4*b**3 - 28468263 + 28468263 - 3*b**3.
-8*b**3
Collect the terms in 362330*a - 181152*a - 181145*a.
33*a
Collect the terms in -4157*s + 4157*s - 3*s**2.
-3*s**2
Collect the terms in 10*m - 334 + 242 - 292.
10*m - 384
Collect the terms in -11851*i**3 - 288*i**2 + 288*i**2.
-11851*i**3
Collect the terms in -44*o**3 + 41*o**3 - 2159*o - 1 + 1.
-3*o**3 - 2159*o
Collect the terms in -32807*h + 10936*h + 10936*h + 10932*h.
-3*h
Collect the terms in 4*o**2 + 1741*o + 472 - 472 - 1804*o.
4*o**2 - 63*o
Collect the terms in 16*l**3 - 795 + 436 + 359.
16*l**3
Collect the terms in -305 + 305 - 57*s.
-57*s
Collect the terms in -20*t + 51*t - 35*t + 178*t.
174*t
Collect the terms in c**3 - 12849968*c**2 + 12849968*c**2.
c**3
Collect the terms in -131*a - 821*a - 1120*a.
-2072*a
Collect the terms in -19*b + 53*b**2 + 174*b**2 - 38*b**2 + 14*b.
189*b**2 - 5*b
Collect the terms in -150*v + 93*v - 52*v - 556*v.
-665*v
Collect the terms in 0*n**2 - n**2 - 2*n**2 + 11*n**2 - 4*n**2 - 50.
4*n**2 - 50
Collect the terms in 2*f**2 - 971*f**3 + 111 - 111.
-971*f**3 + 2*f**2
Collect the terms in -9821*a**2 + 6 - 10 + 4.
-9821*a**2
Collect the terms in -9*b + 9 + 25*b + 17*b - 2*b.
31*b + 9
Collect the terms in 1547*n**3 - 786*n**3 - 762*n**3 + 6 - 6.
-n**3
Collect the terms in -2*f**3 + 39472*f - 39472*f - f**3.
-3*f**3
Collect the terms in 31812*j - 637*j + 20572*j.
51747*j
Collect the terms in 558*l**2 - 38500 + 38500 + 873*l**2.
1431*l**2
Collect the terms in 11973*r**2 - 3992*r**2 - 19*r**3 - 3991*r**2 - 3990*r**2.
-19*r**3
Collect the terms in 22 + 70*f + 3 - 12 - 14.
70*f - 1
Collect the terms in -31*m**3 - 239*m**3 + 148*m**3 + 134*m**3.
12*m**3
Collect the terms in -541 + 101 + 499 + v.
v + 59
Collect the terms in 1711 - 2*v**2 + 2747 - 4458.
-2*v**2
Collect the terms in -7*v**3 - 10010652*v**2 + 10010652*v**2.
-7*v**3
Collect the terms in 666*l**3 - 7 + 1277*l**2 - 1277*l**2.
666*l**3 - 7
Collect the terms in 492*o**3 + 416*o**3 - 1163*o**3.
-255*o**3
Collect the terms in -51*j - 109*j - j - 24*j.
-185*j
Collect the terms in 4*q - 9*q + 374 - 374 + 19*q - 3*q.
11*q
Collect the terms in -6 + 2 - 3*i**3 - 58567*i + 4 + 58592*i + 4*i**3.
i**3 + 25*i
Collect the terms in 9*w**2 - 53*w**2 + 50*w**2 - 11 + 11.
6*w**2
Collect the terms in -16 + 13 - 4*t + 4*t + 87*t**2.
87*t**2 - 3
Collect the terms in 22*i - 67*i + 46*i.
i
Collect the terms in 1003*p + 997*p - 3016*p + 1003*p.
-13*p
Collect the terms in -5774*h**3 + 23104*h**3 - 5775*h**3 - 5779*h**3 - 5775*h**3.
h**3
Collect the terms in -7*r + 1591 - 1591 - r - 14*r.
-22*r
Collect the terms in -3 + 2*d + 14*d**2 + 7*d**2 + 7*d - 29*d**2.
-8*d**2 + 9*d - 3
Collect the terms in -165*l - 168*l - 171*l - 170*l + 838*l - 165*l.
-l
Collect the terms in -133 - 20*w - 131 - 132 + 398.
-20*w + 2
Collect the terms in 42155*h**3 - 42243*h**3 - 4*h**2 - h**2 + 3*h**2.
-88*h**3 - 2*h**2
Collect the terms in 3*b**3 + 127*b**3 - 1 + 2 + 0*b**3.
130*b**3 + 1
Collect the terms in 2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
197, 211?
x**3 - 5*x**2 - 2*x + 221
What is the k'th term of -40, -36, -18, 20, 84, 180, 314?
k**3 + k**2 - 6*k - 36
What is the d'th term of 36, 38, 40, 42?
2*d + 34
What is the h'th term of 10, 9, 8, 7, 6?
-h + 11
What is the g'th term of 24, 51, 80, 111, 144?
g**2 + 24*g - 1
What is the p'th term of -3112, -6223, -9334, -12445, -15556, -18667?
-3111*p - 1
What is the z'th term of -66, -152, -238, -324?
-86*z + 20
What is the x'th term of 7, 1, -1, 7, 31, 77, 151?
x**3 - 4*x**2 - x + 11
What is the p'th term of 607, 2445, 5511, 9805, 15327, 22077?
614*p**2 - 4*p - 3
What is the k'th term of -56, -384, -1266, -2978, -5796, -9996?
-46*k**3 - k**2 - 3*k - 6
What is the v'th term of -759, -757, -755, -753, -751, -749?
2*v - 761
What is the r'th term of 50, 52, 54, 56?
2*r + 48
What is the y'th term of 236, 432, 628, 824, 1020?
196*y + 40
What is the w'th term of -69, -70, -71, -72, -73?
-w - 68
What is the i'th term of 12, 10, 10, 12, 16?
i**2 - 5*i + 16
What is the y'th term of -107, -218, -331, -446, -563, -682, -803?
-y**2 - 108*y + 2
What is the z'th term of -84, -93, -104, -117, -132, -149, -168?
-z**2 - 6*z - 77
What is the r'th term of -483, -966, -1449, -1932, -2415, -2898?
-483*r
What is the h'th term of -26, -34, -42, -50, -58?
-8*h - 18
What is the m'th term of 721, 727, 731, 727, 709, 671?
-m**3 + 5*m**2 - 2*m + 719
What is the p'th term of 17954, 17965, 17992, 18041, 18118, 18229, 18380, 18577?
p**3 + 2*p**2 - 2*p + 17953
What is the y'th term of 71, 118, 163, 206, 247?
-y**2 + 50*y + 22
What is the q'th term of -110, -222, -336, -452?
-q**2 - 109*q
What is the r'th term of -355, -729, -1089, -1429, -1743, -2025?
r**3 + r**2 - 384*r + 27
What is the g'th term of -4920, -4921, -4922?
-g - 4919
What is the s'th term of 82, 150, 218, 286?
68*s + 14
What is the y'th term of 1280, 1275, 1270, 1265?
-5*y + 1285
What is the f'th term of 52, 216, 492, 874, 1356, 1932?
-f**3 + 62*f**2 - 15*f + 6
What is the t'th term of 77, 65, 63, 77, 113, 177, 275?
t**3 - t**2 - 16*t + 93
What is the t'th term of 151, 304, 457?
153*t - 2
What is the j'th term of 10, 3, -4?
-7*j + 17
What is the x'th term of 720, 727, 734, 741, 748, 755?
7*x + 713
What is the k'th term of 17, 28, 39, 56, 85, 132, 203, 304?
k**3 - 6*k**2 + 22*k
What is the s'th term of -32, -97, -192, -317, -472, -657?
-15*s**2 - 20*s + 3
What is the v'th term of -1762, -1754, -1750, -1756, -1778, -1822, -1894?
-v**3 + 4*v**2 + 3*v - 1768
What is the i'th term of 3, 29, 69, 123, 191, 273?
7*i**2 + 5*i - 9
What is the b'th term of 1742, 1739, 1734, 1727, 1718, 1707?
-b**2 + 1743
What is the p'th term of 313, 606, 899, 1192?
293*p + 20
What is the j'th term of -3905, -7809, -11711, -15611, -19509?
j**2 - 3907*j + 1
What is the d'th term of 8414, 16826, 25236, 33644, 42050, 50454, 58856?
-d**2 + 8415*d
What is the c'th term of -37, -74, -113, -154?
-c**2 - 34*c - 2
What is the p'th term of 0, 6, 12, 18, 24, 30?
6*p - 6
What is the x'th term of -11, -34, -65, -98, -127, -146, -149?
x**3 - 10*x**2 - 2
What is the b'th term of -7, -21, -47, -91, -159, -257, -391?
-b**3 - 7*b + 1
What is the r'th term of 27, 46, 51, 36, -5, -78, -189, -344?
-r**3 - r**2 + 29*r
What is the v'th term of -119, -94, -69, -44?
25*v - 144
What is the n'th term of -515, -524, -535, -548, -563?
-n**2 - 6*n - 508
What is the p'th term of -185, -734, -1649, -2930, -4577?
-183*p**2 - 2
What is the y'th term of 6, 6, 4, 0, -6?
-y**2 + 3*y + 4
What is the v'th term of 175, 348, 521?
173*v + 2
What is the i'th term of -5557, -11116, -16675, -22234?
-5559*i + 2
What is the q'th term of -40, -39, -38?
q - 41
What is the h'th term of 209, 211, 215, 221, 229, 239?
h**2 - h + 209
What is the d'th term of 44, 64, 88, 116, 148, 184?
2*d**2 + 14*d + 28
What is the y'th term of 131, 125, 121, 119, 119, 121?
y**2 - 9*y + 139
What is the s'th term of -79, -70, -61, -52, -43?
9*s - 88
What is the j'th term of 82, 86, 54, -32, -190, -438, -794?
-3*j**3 + 25*j + 60
What is the f'th term of 5, 0, -1, 8, 33?
f**3 - 4*f**2 + 8
What is the k'th term of 42, 89, 182, 333, 554, 857, 1254, 1757?
2*k**3 + 11*k**2 + 29
What is the v'th term of 819, 820, 821?
v + 818
What is the y'th term of -430, -857, -1298, -1759, -2246, -2765, -3322, -3923?
-y**3 - y**2 - 417*y - 11
What is the h'th term of -5061, -10120, -15179, -20238?
-5059*h - 2
What is the g'th term of -118, -152, -232, -376, -602, -928, -1372?
-3*g**3 - 5*g**2 + 2*g - 112
What is the f'th term of 610, 1224, 1838, 2452, 3066?
614*f - 4
What is the d'th term of 42, 35, 28?
-7*d + 49
What is the r'th term of -615, -616, -617, -618, -619?
-r - 614
What is the t'th term of 24, 107, 326, 747, 1436, 2459, 3882, 5771?
11*t**3 + 2*t**2 + 11
What is the i'th term of 36, 11, -26, -81, -160, -269?
-i**3 - 18*i + 55
What is the g'th term of 24, 34, 54, 90, 148, 234, 354, 514?
g**3 - g**2 + 6*g + 18
What is the k'th term of -1307, -2625, -3957, -5309, -6687, -8097, -9545?
-k**3 - k**2 - 1308*k + 3
What is the v'th term of -54, -58, -62, -66?
-4*v - 50
What is the j'th term of 528, 1047, 1566, 2085, 2604?
519*j + 9
What is the o'th term of -12, -33, -70, -123?
-8*o**2 + 3*o - 7
What is the q'th term of 38, 63, 88, 113?
25*q + 13
What is the m'th term of 2832, 5659, 8486, 11313, 14140?
2827*m + 5
What is the z'th term of 103, 209, 497, 1057, 1979?
15*z**3 + z**2 - 2*z + 89
What is the q'th term of 34, 67, 100, 133, 166, 199?
33*q + 1
What is the d'th term of -13, -24, -23, -4, 39, 112, 221?
d**3 - 18*d + 4
What is the l'th term of -64, -602, -2076, -4954, -9704, -16794?
-78*l**3 + 8*l + 6
What is the p'th term of 247, 246, 247, 250, 255, 262, 271?
p**2 - 4*p + 250
What is the f'th term of -245, -224, -175, -86, 55?
2*f**3 + 2*f**2 + f - 250
What is the o'th term of 2110, 4221, 6330, 8437, 10542, 12645?
-o**2 + 2114*o - 3
What is the a'th term of -159, -319, -479, -639, -799, -959?
-160*a + 1
What is the l'th term of 20, 58, 128, 248, 436, 710, 1088?
3*l**3 - 2*l**2 + 23*l - 4
What is the c'th term of -253, -278, -321, -382?
-9*c**2 + 2*c - 246
What is the f'th term of 4, 41, 132, 301, 572, 969, 1516, 2237?
4*f**3 + 3*f**2 - 3
What is the a'th term of -1891, -3782, -5673?
-1891*a
What is the u'th term of 30, 65, 106, 153, 206, 265?
3*u**2 + 26*u + 1
What is the i'th term of 42, 199, 460, 825, 1294, 1867?
52*i**2 + i - 11
What is the c'th term of -5, -23, -55, -107, -185, -295?
-c**3 - c**2 - 8*c + 5
What is the q'th term of -580, -579, -578?
q - 581
What is the t'th term of 39, 38, 29, 6, -37?
-t**3 + 2*t**2 + 38
What is the p'th term of -20, -75, -166, -293, -456?
-18*p**2 - p - 1
What is the v'th term of 735, 1466, 2201, 2946, 3707?
v**3 - 4*v**2 + 736*v + 2
What is the i'th term of -7, -8, -9, -10, -11, -12?
-i - 6
What is the i'th term of 548, 1102, 1654, 2204, 2752?
-i**2 + 557*i - 8
What is the z'th term of -20, -47, -74, -101, -128, -155?
-27*z + 7
What is the t'th term of -3528, -3527, -3526, -3525, -3524, -3523?
t - 3529
What is the g'th term of 11, 18, 25, 32?
7*g + 4
What is the x'th term of 248, 268, 288, 308, 328, 348?
20*x + 228
What is the o'th term of 353, 351, 347, 341, 333?
-o**2 + o + 353
What is the o'th term of 205, 810, 1819, 3232, 5049, 7270, 9895?
202*o**2 - o + 4
What is the c'th term of 7968, 7971, 7974, 7977?
3*c + 7965
What is the t'th term of 13, 109, 371, 883, 1729, 2993, 4759?
14*t**3 - t**2 + t - 1
What is the g'th term of 44, 129, 214?
85*g - 41
What is the n'th term of -400, -392, -372, -334, -272?
n**3 + n - 402
What is the w'th term of 116, 226, 334, 440?
-w**2 + 113*w + 4
What is the u'th term of 17, -4, -45, -112, -211?
-u**3 - 4*u**2 - 2*u + 24
What is the l'th term of -241, -242, -243?
-l - 240
What is the s'th term of -70, -120, -168, -214, -258, -300, -340?
s**2 - 53*s - 18
What is the l'th term of 11, 22, 33, 44, 55?
11*l
What is the n'th term of 69, 173, 289, 423, 581, 769, 993, 1259?
n**3 + 97*n - 29
What is the k'th term of -1, -10, -37, -88, -169, -286, -445, -652?
-k**3 - 3*k**2 + 7*k - 4
What is the v'th term of -286, -319, -412, -595, -898, -1351?
-5*v**3 + 2*v - 283
What is the t'th term of 48, 54, 70, 102, 156?
t**3 - t**2 + 2*t + 46
What is the c'th term of -1579, -1573, -1567, -1561, -1555, -1549?
6*c - 1585
What is the n'th term of -140, -138, -136, - | {
"pile_set_name": "DM Mathematics"
} |
-5
Let q = 1 + 1. Let d(f) = 4 + q*f + 0 + 3 - 5. Determine d(-5).
-8
Let z(w) = 3*w**2. Let p be z(1). Let y be (p + -2)/(3 - 2). Let f(t) = -6*t**3 + t**2. What is f(y)?
-5
Let h(m) be the first derivative of -m**4/4 - 2*m**3 - 5*m**2/2 + m - 2. Let d = -111 - -107. Determine h(d).
-11
Let b be (-28)/(-24) - 2/12. Let u be (-13 + b)*18/(-24). Suppose 4*s = 11 + u. Let z(g) = g**3 - 4*g**2 - 6*g + 2. What is z(s)?
-3
Suppose -15*o - 72 = -6*o. Let l(z) = -z**3 - 7*z**2 + 7*z + 2. What is l(o)?
10
Suppose s + 3*s - 24 = 0. Suppose -s = 2*h - h. Let d(n) = -n**2 - 5*n + 8. Calculate d(h).
2
Let o(h) = 6*h**2 + 0*h - h**2 - 1 - 4*h**2 + 5*h. What is o(-5)?
-1
Let t = -90 + 56. Let c(p) = -2*p**2 + 4*p. Let j(x) = 108*x + 5*x**2 - 131*x + 7*x**2. Let v(r) = t*c(r) - 6*j(r). Calculate v(2).
-12
Let x(l) = 3*l - 1. Let d(w) = 7*w - 3. Let c(p) = -4*d(p) + 9*x(p). Let m(k) = -k + 2. Let t(q) = -4*c(q) + 5*m(q). What is t(4)?
-6
Let t(p) = 4*p**3 + p**2 - p**2 - 3*p**3. Determine t(2).
8
Let a(p) = -p**3 + 4*p**3 - p - 1 - 6*p**3. Calculate a(-1).
3
Let q(a) = -a. Let s(w) = -6*w + 1. Let j be (-2)/(-5)*(-15)/6. Let m(p) = j*q(p) - s(p). What is m(1)?
6
Let a(l) = -2*l - 6. Suppose -b - 8 = -1. Calculate a(b).
8
Let x be (-1 + 6)*(-8)/10. Let d = 9 + -7. Let k(g) = 4*g**2 + d*g + 0*g**2 - g + g**3 + 1. Give k(x).
-3
Let z(h) = -4*h - 1. Let k(v) = 21*v + 4. Let n be ((-66)/(-24))/(2/(-8)). Let c(q) = n*z(q) - 2*k(q). What is c(-3)?
-3
Let w(q) be the second derivative of q**4/12 + 7*q**3/6 - 3*q**2/2 + 7*q. Give w(-6).
-9
Suppose -2*c + 19 = 11. Let z(n) be the second derivative of 1/12*n**c + n + 0 + 2*n**2 + n**3. Give z(-3).
-5
Let j(q) = -q**2 - 6*q - 3. Let x(c) = c**2 + 6*c + 2. Let z(d) = 4*j(d) + 3*x(d). Let n be 3*2/(-6)*5. Calculate z(n).
-1
Let y(h) = h. Let p(s) = s - 13. Let f be p(10). Determine y(f).
-3
Suppose 2*s + 6*v - 2*v = 0, 4*s - 3 = -5*v. Suppose 3*q = -1 + 10. Let k(h) = -2 - 2*h - 2*h**2 - 2*h**3 + 4*h + h**3 + 2*h**q. Calculate k(s).
2
Let h(y) = -2*y + 1. Let d be (-2)/6*(7 - 1). Let v be h(d). Let r(i) = -i + 4. Determine r(v).
-1
Let d = -11 + 12. Suppose -7 = 3*k - d. Let t(b) = b**2 + b + 2. Determine t(k).
4
Let c(t) be the second derivative of 3*t**8/2240 + t**6/720 + t**5/120 + t**4/6 - t. Let f(a) be the third derivative of c(a). Calculate f(-1).
-9
Let g(z) = 4*z**3 + 3*z**2 + z + 2. Let o be (3/9*3)/(4/(-8)). What is g(o)?
-20
Let n(r) = -11*r**2 - 2*r + 1. Let m = 11 + -17. Let j be 22/33*m/(-4). What is n(j)?
-12
Let j(l) be the second derivative of l**5/60 + l**4/8 + l**3/3 - 2*l. Let t(p) be the second derivative of j(p). What is t(-4)?
-5
Let q(r) = -r**3 + r + 7. Let v be ((-3)/2 + 27/18)*1. Give q(v).
7
Suppose -88*f - 33 = -91*f. Let r(k) = k**2 - 12*k + 9. What is r(f)?
-2
Let t(i) = i**3 + 5*i**2 + 2*i - 3. Suppose 2*m - 8 = 4*b + m, -3*b + 1 = m. Let x = b + -3. Give t(x).
5
Let r = 2 + 1. Suppose -f + 3*a - 4 = 2, 0 = -2*f - 3*a - r. Let d(m) = 3*m + 4. Give d(f).
-5
Let r(x) = -x**3 + 3*x**2 + 5*x + 2. Let j(c) = 3*c - 14. Let t be j(6). Calculate r(t).
6
Let q(a) = -a + 3. Let r be q(-5). Let b(t) = t**3 - 7*t**2 - 9*t + 9. Let g be b(r). Let m(j) = 0 + 3 - g - j. What is m(4)?
-2
Let h be ((-12)/(-15))/((-4)/10). Let b = h + -2. Let x = b + 4. Let n(i) = -i**3 - i + 5. What is n(x)?
5
Let f(d) = -d**2 + 9*d + 9. Let p(x) = x**3 + x**2 + x - 5. Let g be p(2). Calculate f(g).
9
Let u(f) be the first derivative of -f**4/4 - 4*f**3/3 - 2*f**2 + 20. Calculate u(-3).
3
Let u(y) = 7*y + 17. Let i be -5*(-3)/(-3)*-1. Let a(c) = -4*c - 8. Suppose 31 = 2*d - 5*q, d - 4*q - 23 = -0*d. Let v(n) = d*u(n) + i*a(n). Give v(-5).
6
Let j(f) = -f**3 - 4*f**2 + 5*f - 5. Let v be 4/(-8)*-7*2. Suppose 3*t + 9 = y, -t = 4*y - v - 3. Suppose -2 = m + y. Determine j(m).
-5
Let u(i) = i - 1. Suppose 2*c + 225 = 49. Let k be (c/(-8))/(2 - 1). Let d(s) = -3*s + 2. Let q(y) = k*u(y) + 4*d(y). Determine q(-3).
0
Suppose 3*t + 4*w = 2*w - 17, 6 = -t - w. Let f(b) = -b. What is f(t)?
5
Let d = 21 - 9. Suppose -3*p = -h - d, 3*h - 3*p + 20 - 2 = 0. Let g(q) = 2*q - 2. Give g(h).
-8
Let f(m) = -m + 11. Suppose 0 = x - 0*b - b - 17, -31 = -3*x - 2*b. Suppose 0 = -h + 4*i + 3 - 0, -i = -2*h + x. Let o be f(h). Let n(w) = w - 3. What is n(o)?
1
Let k(v) = v + 5. Let t(z) = -z**3 - 7*z**2 - 7*z - 6. Let u(i) = i**3 - i**2 - 6. Let s be u(0). Let a be t(s). Calculate k(a).
5
Let s = 13 + -11. Let h(k) = 2*k**3 - k**2 - k - 2. Calculate h(s).
8
Let x(u) = 2*u + u**2 - 2*u - 4*u - u. Determine x(6).
6
Let b(x) be the first derivative of 5/3*x**3 - x + 7 - 2*x**2 - 1/4*x**4. Determine b(3).
5
Let f(x) = x**2 + 6*x + 4. Let b(h) = 2*h - 16. Let g be b(6). What is f(g)?
-4
Let i(n) = n**2 - 6. Let b = 15 + -15. Give i(b).
-6
Let d(k) = -k**3 + 2*k**2 + 1. Let l be d(2). Suppose -10 = 5*g + 5*f, 2*g - 20 = -0*g + 4*f. Let j(a) = g + 32*a - 3 - 16*a - 12*a. Give j(l).
3
Suppose -1 + 5 = 2*r. Let o(p) = -2*p - 1. Calculate o(r).
-5
Let w be 21/14*8/6. Let t(l) = 3*l**2 - 4*l + 3. Give t(w).
7
Let p(a) be the third derivative of a**6/120 + a**5/10 + a**4/4 + a**3 + a**2. Let r = -10 - -19. Let v = 4 - r. Give p(v).
1
Suppose 4*l - 8 = 32. Suppose 2*o = -g + l, 3*g = -o - 3*o + 18. Let s(j) = -j**2 + 8*j - 4. Determine s(o).
8
Let g(m) = m**2 - 7*m - 10. Suppose -13 - 43 = -7*t. Give g(t).
-2
Let g(a) be the first derivative of a**4/4 + 8*a**3/3 + 3*a**2 - 5*a + 4. Let w(v) = -v**3 - 9*v**2 - 7*v + 6. Let z(h) = -5*g(h) - 4*w(h). Calculate z(-2).
-3
Let a(q) = -6*q - 6 + 4 + 6 - q**2 + 3. Calculate a(-6).
7
Let c be (-28)/(-16) + (-2)/(-8). Let r(g) = 1 - 3*g**c + 2 - g - 3*g + 5*g**2. Let n = 3 - 1. Calculate r(n).
3
Let p(j) = j**3 - 6*j**2 - 7*j + 3. Let y be p(7). Let a(z) = -2*z. Calculate a(y).
-6
Suppose -6 = 8*s + 66. Let x(j) = -j**2 - 9*j - 2. Determine x(s).
-2
Let o(y) = 3*y + 2. Suppose -2 = -7*j + 6*j. Calculate o(j).
8
Let u be 32/(-18) + 4/(-18). Let j(x) be the second derivative of x**5/20 - x**4/12 - x**3/2 - x**2/2 - 6*x. Calculate j(u).
-7
Let y(i) = i + 2. Let c be y(3). Let x = -2 - -5. Let b(f) = -10 - f + 2*f + 3*f - x*f. Determine b(c).
-5
Let b be (-45)/(-5) - (-4)/(-4). Let o(n) = 2*n**3 - 4*n**2 + 4 - n**3 + 6*n - b*n. Calculate o(4).
-4
Let k be (-2 - -2) + -2 - -1. Let d(a) = -a**3 - a + 1. Let c(t) = 3*t**3 + 3*t - 3 + 5*t**2 + 5 + 0. Let w(n) = k*c(n) - 4*d(n). Give w(5).
-1
Let q(v) = 2*v**3 - 3*v**3 + 2*v**2 + 3 + 0 + 3*v - 1. Suppose 4*n + 32 = 5*a, -n + 7 = 5*a - 10. Suppose -a*z = i - 7, 0*i - 4*i + 11 = -z. Calculate q(i).
2
Let d(q) = -2 + 3*q + 2 + 1. Let m be d(-1). Let r(n) = -2*n. Calculate r(m).
4
Let w(r) = r**3 - 2*r**2 - 7*r - 5. Let m(t) = -22*t + 3 + 5*t**3 - 5*t**2 - 19 - 2*t**3. Let x(c) = 2*m(c) - 7*w(c). Determine x(5).
3
Let g(c) = c**2 + 7*c - 3. Let w = -2 - -4. Let q be 6/(-5)*10/w. Calculate g(q).
-9
Let l(o) = o**2 - 6*o - 7. Let u be 9/2 + (-4)/(-8). Determine l(u).
-12
Let p(j) be the first derivative of -4 - 1/4*j**4 + 5/3*j**3 - 3*j - 2*j**2. Determine p(4).
-3
Let d(c) = 5. Let y(v) = -v - 18. Let u(l) = 7*d(l) + 2*y(l). Let t be 2/3 + 7/3. What is u(t)?
-7
Suppose -l = -2, 2*a - 14 = l - 6*l. Let i(m) = 0 + 2 - a*m + 5*m - 2*m. Let x = -3 - -7. Determine i(x).
6
Let n(y) = y. Suppose 0 = f - 3*x - 15, -3*f - 13 = -2*f + 4*x. Let v(m) = m + 4*m**3 - 4*m + 1 - f*m**3. Let j be v(2). What is n(j)?
3
Let z(x) = 2*x**3 - x**3 + 0*x**3. Let v(d) = 16*d**3 - d**2 + d + 0*d**2 - 24*d**3 + 3*d**2. Let r(o) = -v(o) - 2*z(o). Determine r(-1).
-7
Let v(c) = c**2 - 12*c + 14. Let j(u) = u**2 + 10*u + 19. Let m be j(-9). Give v(m).
-6
Let m be (-3)/4 + 138/24. Suppose 4*w - 2*v = -6*v + 28, 0 = m*w + 2*v - 20. Let u(j) = -5 - j**2 + 8*j - w*j - 1 + 0. Calculate u(4).
2
Suppose u - 8 = -0*u. Suppose -x = x + u. Let t(q) = q**2 + 3*q + 2. What is t(x)?
6
Suppose 3*t = 2*t + 4. Let w(y) = -7*y**3 + 10*y**2 + 2*y - 11. Let i(j) = 15*j**3 - 21*j**2 - 4*j + 23. Let k(h) = 6*i(h) + 13*w(h). Calculate k(t).
3
Let x(h) = -5*h**3 + 6*h**2 + 3*h - 8. Let l(q) = 11*q**3 - 12*q**2 - 7*q + 16. Let a(o) = 6*l(o) + 13*x(o). What is a(-6)?
10
Let a = -4 - -3. Let x be (-2 - 1)*a*1. Let o(m) = m**3 - 3*m**2 - m. What is o(x)?
-3
Let l = 0 - -3. Suppose -4*y - p + 2*p = 5, -l*y = p + 2. Let t(r) = -5*r**2. C | {
"pile_set_name": "DM Mathematics"
} |
t common divisor of 750 and 508325.
25
What is the highest common factor of 14082 and 744?
6
Calculate the highest common factor of 120 and 616020.
60
What is the highest common divisor of 326112 and 1806?
258
What is the highest common factor of 190 and 6475?
5
Calculate the greatest common divisor of 153 and 108477.
153
What is the greatest common factor of 51259 and 299?
13
What is the highest common factor of 947 and 1?
1
Calculate the greatest common divisor of 1624520 and 2720.
680
Calculate the greatest common factor of 529424 and 29.
29
What is the greatest common divisor of 24675 and 30315?
705
Calculate the greatest common factor of 141 and 1518758.
47
What is the highest common factor of 28345 and 15?
5
What is the greatest common factor of 139211 and 292?
73
What is the highest common factor of 36 and 310056?
12
Calculate the highest common divisor of 65 and 680.
5
What is the highest common factor of 220 and 35332?
44
Calculate the greatest common factor of 677430 and 1890.
270
Calculate the greatest common divisor of 216 and 260.
4
Calculate the greatest common factor of 270 and 1152765.
135
Calculate the highest common divisor of 6074 and 34.
2
What is the greatest common factor of 232389 and 567?
81
Calculate the greatest common divisor of 549 and 3429.
9
Calculate the greatest common divisor of 8997328 and 16.
16
Calculate the greatest common divisor of 7291 and 138.
23
Calculate the highest common divisor of 6948 and 1548.
36
Calculate the highest common divisor of 31882 and 38.
38
What is the greatest common factor of 705 and 321809?
47
Calculate the greatest common divisor of 437613 and 298.
149
What is the greatest common factor of 831 and 40996?
277
What is the highest common divisor of 732 and 101931?
183
Calculate the greatest common divisor of 24034 and 43676.
122
Calculate the greatest common divisor of 26950 and 7315.
385
Calculate the highest common factor of 3336 and 80.
8
Calculate the highest common divisor of 213790 and 10.
10
Calculate the highest common factor of 24558 and 144.
6
What is the highest common divisor of 112 and 399224?
56
What is the greatest common factor of 1025 and 3239?
41
Calculate the greatest common divisor of 165 and 36795.
165
What is the highest common divisor of 47736 and 357?
51
What is the greatest common factor of 2074 and 611708?
122
What is the greatest common divisor of 534 and 243148?
178
What is the greatest common divisor of 608 and 619628?
76
What is the highest common factor of 550522 and 490?
14
Calculate the greatest common factor of 604233 and 161.
161
What is the greatest common factor of 2151 and 45?
9
Calculate the greatest common divisor of 12625 and 275.
25
Calculate the highest common factor of 13393 and 2655.
59
What is the highest common factor of 222 and 2368?
74
Calculate the greatest common factor of 1760927 and 7.
7
What is the highest common factor of 128 and 16056?
8
Calculate the highest common factor of 2240 and 872.
8
What is the highest common divisor of 924 and 20053?
11
What is the greatest common divisor of 1722 and 154224?
42
Calculate the highest common divisor of 4964 and 2993.
73
Calculate the highest common factor of 75775 and 350.
175
What is the greatest common divisor of 91492 and 1028?
1028
What is the greatest common divisor of 35574 and 84?
42
What is the highest common factor of 72616 and 3130?
626
What is the highest common factor of 774809 and 119?
119
Calculate the highest common factor of 52215 and 22125.
885
Calculate the highest common divisor of 25 and 682115.
5
What is the highest common factor of 15 and 932115?
15
What is the greatest common divisor of 12 and 348336?
12
What is the highest common factor of 669 and 201?
3
What is the highest common factor of 3115 and 22339?
89
What is the greatest common divisor of 2155620 and 888?
444
Calculate the greatest common factor of 95 and 4525.
5
What is the highest common divisor of 30 and 2904?
6
Calculate the greatest common divisor of 418 and 372647.
209
Calculate the greatest common factor of 142 and 332422.
142
Calculate the highest common divisor of 756 and 15204.
84
What is the greatest common factor of 44 and 93456?
44
What is the highest common factor of 45 and 11955?
15
What is the highest common factor of 55557 and 9?
9
What is the highest common divisor of 1005252 and 456?
228
What is the highest common factor of 144293 and 1565?
313
Calculate the greatest common divisor of 454018 and 274.
274
What is the highest common factor of 6080 and 350?
10
What is the greatest common divisor of 20175 and 75?
75
Calculate the highest common factor of 1 and 8338.
1
What is the greatest common divisor of 624 and 341136?
48
What is the highest common factor of 252 and 7212?
12
Calculate the highest common factor of 408007 and 47.
47
Calculate the highest common factor of 184 and 364274.
46
What is the greatest common divisor of 1107 and 147987?
27
Calculate the greatest common divisor of 96915 and 65.
65
Calculate the greatest common factor of 2507 and 436.
109
Calculate the highest common factor of 20 and 130.
10
What is the highest common factor of 44197 and 5038?
229
Calculate the greatest common factor of 158 and 418226.
158
What is the highest common factor of 9000 and 4625?
125
Calculate the greatest common divisor of 6096 and 104.
8
Calculate the highest common factor of 5044 and 3068.
52
Calculate the greatest common divisor of 29036 and 833.
119
What is the greatest common divisor of 489 and 112633?
163
Calculate the highest common factor of 204945 and 975.
195
Calculate the greatest common divisor of 3 and 67251.
3
What is the highest common factor of 10591 and 490?
7
What is the highest common factor of 9559 and 10043?
121
What is the highest common divisor of 3132 and 8?
4
What is the highest common divisor of 230437 and 466?
233
Calculate the greatest common factor of 276 and 4731.
3
What is the greatest common factor of 64 and 732736?
64
What is the highest common divisor of 7050 and 3450?
150
Calculate the greatest common factor of 850 and 57188.
34
Calculate the highest common divisor of 58 and 62.
2
Calculate the highest common factor of 140 and 43673.
7
Calculate the greatest common divisor of 8119 and 1219.
23
Calculate the highest common divisor of 39649 and 93.
31
Calculate the highest common factor of 108 and 16875.
27
Calculate the highest common divisor of 270 and 32598.
18
What is the greatest common factor of 434 and 546406?
434
Calculate the greatest common factor of 5533 and 23138.
503
What is the greatest common divisor of 281855 and 70?
35
Calculate the highest common divisor of 93495 and 1380.
345
What is the highest common factor of 54 and 15202?
2
Calculate the highest common factor of 683378 and 898.
898
What is the greatest common factor of 38204 and 4?
4
What is the highest common divisor of 54 and 2883492?
54
Calculate the greatest common divisor of 60 and 5268.
12
Calculate the highest common divisor of 14 and 37646.
14
What is the highest common divisor of 47913 and 18?
3
Calculate the highest common divisor of 52 and 1542502.
26
Calculate the greatest common factor of 38491 and 17037.
631
What is the highest common divisor of 20898 and 43086?
258
Calculate the highest common divisor of 338 and 28366.
26
Calculate the highest common factor of 17 and 1855499.
17
What is the highest common divisor of 28 and 140077?
7
What is the highest common divisor of 46872 and 3759?
21
What is the greatest common divisor of 2925 and 9594?
117
Calculate the highest common divisor of 3838 and 38.
38
Calculate the greatest common divisor of 760 and 228.
76
Calculate the greatest common factor of 216011 and 19.
19
What is the highest common divisor of 130077 and 873?
873
Calculate the highest common divisor of 269980 and 60.
20
What is the greatest common factor of 68 and 953938?
34
Calculate the highest common divisor of 182 and 34463.
13
What is the highest common factor of 7175 and 12275?
25
Calculate the greatest common divisor of 49756 and 28.
28
Calculate the highest common factor of 180 and 10692.
36
Calculate the greatest common divisor of 30 and 3186.
6
What is the highest common divisor of 175823 and 32796?
911
Calculate the greatest common divisor of 651 | {
"pile_set_name": "DM Mathematics"
} |
1, 2, 0, -4 in increasing order.
-4, -1, 0, 1, 2
Sort -0.89, 4, 1/4, 7 in decreasing order.
7, 4, 1/4, -0.89
Put -15, 3, -1, 2 in decreasing order.
3, 2, -1, -15
Put -7, 3/2, 0, -4 in increasing order.
-7, -4, 0, 3/2
Sort 1/4, -7.9, 5, 1, 20 in decreasing order.
20, 5, 1, 1/4, -7.9
Sort -4, -340, -3, 1 in ascending order.
-340, -4, -3, 1
Sort -3, 4, -2, -5, -8.
-8, -5, -3, -2, 4
Sort -4, -13, -22.
-22, -13, -4
Put 6, -3, -2, -4, 0.4 in increasing order.
-4, -3, -2, 0.4, 6
Put -0.5, 3/7, -100, -5, 14 in ascending order.
-100, -5, -0.5, 3/7, 14
Put 3, -5, 177 in descending order.
177, 3, -5
Put 9, -4, 11, -5, -3 in increasing order.
-5, -4, -3, 9, 11
Put 5, -5, -8, 2, 29 in ascending order.
-8, -5, 2, 5, 29
Sort 1, -7, -1, -5/4, -3.
-7, -3, -5/4, -1, 1
Put 78, 3, -4, -5 in increasing order.
-5, -4, 3, 78
Sort -4, 39, 0.3, 4/5, -0.2 in descending order.
39, 4/5, 0.3, -0.2, -4
Sort 0, -1, 5, -7.
-7, -1, 0, 5
Sort -0.2, -2, 4, 3.79 in decreasing order.
4, 3.79, -0.2, -2
Put -3, 15, 49 in ascending order.
-3, 15, 49
Sort 1, -3, 102 in descending order.
102, 1, -3
Sort 0.4, 10/17, 0.5 in descending order.
10/17, 0.5, 0.4
Sort -2, 89, -4, -2/21 in descending order.
89, -2/21, -2, -4
Put 26, 2, -7, -1, 1 in descending order.
26, 2, 1, -1, -7
Sort -1, 0, 50, 5 in increasing order.
-1, 0, 5, 50
Sort 0.5, -2/11, -0.2, 4/5.
-0.2, -2/11, 0.5, 4/5
Sort 0, 6/5, -1/2, -1/9, 0.13 in increasing order.
-1/2, -1/9, 0, 0.13, 6/5
Put -0.48, -4, 1 in decreasing order.
1, -0.48, -4
Sort 12, 9, -3.
-3, 9, 12
Put 5, 90, 0.1 in decreasing order.
90, 5, 0.1
Sort 6, 0, -5.
-5, 0, 6
Put 1, 0.4, -3.86 in increasing order.
-3.86, 0.4, 1
Sort 2, 5, -33, -3, -5.
-33, -5, -3, 2, 5
Sort 119, -9, -7 in increasing order.
-9, -7, 119
Put -4, 1, 139 in descending order.
139, 1, -4
Sort -0.3, -1, -6.6 in increasing order.
-6.6, -1, -0.3
Put -7, 4, 2, -23 in decreasing order.
4, 2, -7, -23
Sort -39, -2, -17, 5 in decreasing order.
5, -2, -17, -39
Put 0.07, -1, -17 in descending order.
0.07, -1, -17
Sort 0, 1/7, 3, -649 in increasing order.
-649, 0, 1/7, 3
Put -9, 1, 4, -2 in increasing order.
-9, -2, 1, 4
Put 0, -4, 23 in ascending order.
-4, 0, 23
Sort 270, 4, 0, -4.
-4, 0, 4, 270
Sort -1/3, -1/5, -434, -4.
-434, -4, -1/3, -1/5
Put -138, -0.5, -4 in increasing order.
-138, -4, -0.5
Put -3, 2, -0.01, -4, -1.43 in descending order.
2, -0.01, -1.43, -3, -4
Sort -3, -1/5, -0.1, -1/2 in increasing order.
-3, -1/2, -1/5, -0.1
Sort 46, 2, 146 in descending order.
146, 46, 2
Sort -4, 1/7, -0.09, 0.5.
-4, -0.09, 1/7, 0.5
Sort -2/7, 1, 152, -0.3 in increasing order.
-0.3, -2/7, 1, 152
Put 3, 1, 6 in decreasing order.
6, 3, 1
Sort 301, 2, -8.
-8, 2, 301
Sort 0.5, 1333, -2 in decreasing order.
1333, 0.5, -2
Put 3, 1, -3, -1 in descending order.
3, 1, -1, -3
Put 785, 0.3, 3/7 in ascending order.
0.3, 3/7, 785
Sort -46, 5/3, -0.5, 4/3 in ascending order.
-46, -0.5, 4/3, 5/3
Sort 4, -2, 0 in decreasing order.
4, 0, -2
Sort 6, -104, 2, 0 in ascending order.
-104, 0, 2, 6
Put 3/5, 24, -0.2 in decreasing order.
24, 3/5, -0.2
Sort 0.08, -104, -0.3 in increasing order.
-104, -0.3, 0.08
Sort -2/11, 0.4, -2, 16, -2/15.
-2, -2/11, -2/15, 0.4, 16
Sort -0.4, 0.06, 2/99.
-0.4, 2/99, 0.06
Sort 0.2, -1/4, -13, -0.5, 0.1 in descending order.
0.2, 0.1, -1/4, -0.5, -13
Sort -2, -35, 1, 5 in decreasing order.
5, 1, -2, -35
Sort 0.0187, 4/3, -2/5, -2.
-2, -2/5, 0.0187, 4/3
Put 3, 2, -119, 0, -11 in decreasing order.
3, 2, 0, -11, -119
Put 4, -7, -1, -2 in decreasing order.
4, -1, -2, -7
Sort -3/8, -14, 3/5, -0.5, -3 in descending order.
3/5, -3/8, -0.5, -3, -14
Put 0, -4, 3/10 in increasing order.
-4, 0, 3/10
Put -4, 1, 2 in increasing order.
-4, 1, 2
Put 1, 0, -5, 3, 19 in decreasing order.
19, 3, 1, 0, -5
Put -163, 1/4, -1, -4 in increasing order.
-163, -4, -1, 1/4
Put -5, 1, 7, -3 in descending order.
7, 1, -3, -5
Sort -1, 4, -2.
-2, -1, 4
Sort 0, -1, -5, -9, -13 in descending order.
0, -1, -5, -9, -13
Put -2, 275, 3 in decreasing order.
275, 3, -2
Put -2/19, -0.4, -2/3 in decreasing order.
-2/19, -0.4, -2/3
Put -6, 6, 25 in increasing order.
-6, 6, 25
Put 12, 0.3, -94 in descending order.
12, 0.3, -94
Sort 1, -51, 5 in increasing order.
-51, 1, 5
Put -1, -0.16, 0.3, -0.04 in decreasing order.
0.3, -0.04, -0.16, -1
Put 0.1, 1/5, 0, -1/14, -1 in increasing order.
-1, -1/14, 0, 0.1, 1/5
Sort 4, 0, -0.2, 1/2.
-0.2, 0, 1/2, 4
Sort -4/15, 4, 0.3, 0, 0.03.
-4/15, 0, 0.03, 0.3, 4
Put -2/5, 3/5, -3/41, -2 in descending order.
3/5, -3/41, -2/5, -2
Put 0, -6, -3, 5 in descending order.
5, 0, -3, -6
Sort -3, -54, -66 in decreasing order.
-3, -54, -66
Put -2.3, 3, -0.3 in decreasing order.
3, -0.3, -2.3
Sort 3, -4, -5, 1, 5 in descending order.
5, 3, 1, -4, -5
Put -1, 5, -18 in increasing order.
-18, -1, 5
Sort 4, 5, 20 in decreasing order.
20, 5, 4
Put 0.1, 1/15, 2, 19 in descending order.
19, 2, 0.1, 1/15
Put -0.6, 1, -69, 4 in ascending order.
-69, -0.6, 1, 4
Put -33, -9, -5 in descending order.
-5, -9, -33
Sort -1, -40, 5, -5.
-40, -5, -1, 5
Sort -1, 1, -4/181.
-1, -4/181, 1
Sort -1, 0.5, 1, 0.1, 3 in descending order.
3, 1, 0.5, 0.1, -1
Put -0.04, 0.007, -1 in increasing order.
-1, -0.04, 0.007
Sort 9/31, -1, 1/4 in ascending order.
-1, 1/4, 9/31
Sort -2, -186, -4, 2 in increasing order.
-186, -4, -2, 2
Sort 7, -36, 2 in ascending order.
-36, 2, 7
Sort 4, -3, -4, -23, 2 in descending order.
4, 2, -3, -4, -23
Put -149, -1, -0.1 in ascending order.
-149, -1, -0.1
Put -84, 68, 4 in increasing order.
-84, 4, 68
Sort 55, 4, 0.2, 3.
0.2, 3, 4, 55
Sort -3, 86, -5, -7, 4 in decreasing order.
86, 4, -3, -5, -7
Put 1, 12, 5, -2, -3 in increasing order.
-3, -2, 1, 5, 12
Sort 5408, 5, 2 in descending order.
5408, 5, 2
Put 2, 0.4, -1/6 in decreasing order.
2, 0.4, -1/6
Put 34, 6, -5 in decreasing order.
34, 6, -5
Put 14, -6, 1 in ascending order.
-6, 1, 14
Sort 3, 4, -170, -4, -1 in increasing order.
-170, -4, -1, 3, 4
Put 4, -1, -2491 in decreasing order.
4, -1, -2491
Put -0.5, 1, 7.3, 0.4 in increasing order.
-0.5, 0.4, 1, 7.3
Sort -4, -3, 21, 0, -1.
-4, -3, -1, 0, 21
Sort -4, 11, 0, -2, 4.
-4, -2, 0, 4, 11
Sort 47, -1, 1, -5 in ascending order.
-5, -1, 1, 47
Put 0, 2, -13 in ascending order.
-13, 0, 2
Sort 0.08, -0.09, 0.3 in decreasing order.
0.3, 0.08, -0.09
Put -4, 47, 4 in decreasing order.
47, 4, -4
Sort 4, -1/6, -3, -34 in increasing order.
-34, -3, -1/6, 4
Sort -15, -14, -5, 2 in descending order.
2, -5, -14, -15
Put 2/27, 0.1, -4 in descending order.
0.1, 2/27, -4
Sort -5, -8, -19 in increasing order.
-19, -8, -5
Put -7, -3, 1/3, 3 in descending order.
3, 1/3, -3, -7
Sort 3, -2, 0.4, 0.341, 2/7.
-2, 2/7, 0.341, 0.4, 3
Sort -0.15, -4/7, -1, 0.2, 4 in descending order.
4, 0.2, -0.15, -4/7, -1
Sort -1, -5, 77.
-5, -1, 77
Sort 13, 4, -4, 1 in increasing order.
-4, 1, 4, 13
Put -2/9, 1/7, 2/25, -0.2 in decreasing order.
1/7, 2/25, -0.2, -2/9
Put 4, 32, 16 in ascending order.
4, 16, 32
Sort -0.08, 4, 0, -1/4 in ascending order.
-1/4, -0.08, 0, 4
Sort 2/5, -2, -4, -5, -2/21 in descending order.
2/5, -2/21, -2, -4, -5
Sort -4, 3, -1, 794, -0.4 in ascending order.
-4, -1, -0.4, 3, 794
Sort -2/11, -1/14, 0.5.
-2/11, -1/14, 0.5
Sort 21, -3, 3, 23 in decreasing order.
23, 21, 3, -3
Sort -5, -26, 0, -1, -2 in descending order.
0, -1, -2, -5, -26
Sort 0, -5, -17, 2, -2 in descending order.
2, 0, -2, -5, -17
Put 2, -5, 13, 3 in decreasing order.
13, 3, 2, -5
Sort -42, -3, 3 in increasing order.
-42, -3, 3
Sort -2/63, 1, 2, 82, -3 in ascending order.
-3, -2/63, 1, 2, 82
Sort 6, -9, -4/5, -1.
-9, -1, -4/5, 6
Put 1, -16, -4, 3 in descending order.
3, 1, -4, -16
Sort 4, -3, -4, -13 in descending order.
4, -3, -4, -13
Sort 0, 8, 4/11 in increasing order.
0, 4/11, 8
Put 0.3, 3/7, 0.129 in increasing order.
0.129, 0.3, 3/7
Sort -26, -1, 2, 6, -2.
-26, -2, -1, 2, 6
Sort -5/62, 2, -1, 5, 0.4 in increasing order.
-1, -5/62, 0.4, 2, 5
Sort -3, 0.16, -0.4 in increasing order.
-3, -0.4, 0.16
Put 1/11, 5, -3, 2/5, -0.1 in descending order.
5, 2/5, 1/11, -0.1, -3
Put 2/9, -42/5, -5 in descending order.
2/9, -5, -42/5
Sort -210/29, -3/2, 0.5.
-210/29, -3/2, 0.5
Put 0.07, 0, 0.043 in decreasing order.
0.07, 0.043, 0
Sort -4, 1, -7 in increasing order.
-7, -4, 1
Sort -5, -1, -31, 4, 1 in descending order.
4, 1, -1, -5, -31
Put 4, -1, 2, 11 in descend | {
"pile_set_name": "DM Mathematics"
} |
/(-36))/(-7)*(-3 - 964 - -1) a multiple of 14?
True
Let s(y) = -212*y - 2023. Is 19 a factor of s(-22)?
True
Let v = -274 - -277. Suppose 5*i + v*f - 1741 = 0, -f + 883 + 164 = 3*i. Is 25 a factor of i?
True
Suppose 25 = 4*r - 3*c, r + c + 2 - 3 = 0. Suppose 0 = -r*x, -5*x = -2*k - 4*x + 326. Suppose -3*b + n + 755 = 0, 2*b - 362 = 5*n + k. Does 50 divide b?
True
Suppose w = -17 + 18. Let d(q) = 248*q - 1. Is 19 a factor of d(w)?
True
Let x be 147/((-2)/(-4) - (-3)/12). Suppose 3*y - 68 = x. Does 4 divide y?
True
Let r(t) be the second derivative of t**4/6 - 37*t**3/6 - 9*t**2/2 + 4*t. Let g be r(19). Does 28 divide (17 + 1 + -4)*g?
True
Suppose 5*y - 72 = -w, -3*w + 2*y - 4*y = -190. Let f = 237 - w. Is 9 a factor of f?
False
Suppose -52 = -4*q + 5*w, q - 3*w = -4*w + 22. Suppose 14*c - q*c + 2008 = 0. Does 29 divide c?
False
Suppose 2*m - 5*g = -3*g + 12, 4*g = -5*m + 3. Let a be (-37)/(-7) - (-2)/(-7). Is 100 - a/15*m a multiple of 11?
True
Suppose -22 = 13*u - 11*u. Let f be u/((-11)/4) - (-1 + 1). Suppose f*x - 463 = -111. Is x a multiple of 22?
True
Let s = -95 - -96. Does 11 divide ((-24)/120)/(s/(-5)) - -391?
False
Suppose -o + 21*h = 24*h - 345, 0 = -4*o + h + 1328. Suppose -o - 39 = -4*d. Does 31 divide d?
True
Let z be (-2)/6*(18 + -3)*1. Let c be (-1)/z + (-1)/5. Suppose 26*l - 24*l - 114 = c. Is l a multiple of 19?
True
Let k(j) be the third derivative of -7*j**6/720 - j**5/24 - j**4/2 + 13*j**2. Let n(f) be the second derivative of k(f). Does 11 divide n(-6)?
False
Let r(w) be the first derivative of 5*w**3/3 - w**2/2 + 2*w - 54. Does 6 divide r(4)?
True
Suppose -4*w + 2*a - 26 = 0, 5 = -2*w + 2*a - 13. Let y be ((-198)/(-15))/(w/(-10)). Let c = 56 - y. Does 3 divide c?
False
Let q(u) = 19*u + 13. Let b = 38 - 33. Let c be q(b). Suppose -3*m - 39 + c = 0. Is 21 a factor of m?
False
Let b = -36 - -11. Let p be (-10)/b + 148/5. Suppose -2*k + 88 = -p. Is 10 a factor of k?
False
Let g(v) = -v**3 + 7*v - 6. Let a be g(2). Let i(p) = -2*p**3 - 14*p + 2 - 16*p + 29*p + a*p**3 + 7*p**2. Is i(3) a multiple of 8?
True
Let b = -150 - -152. Suppose 189 + 477 = b*c + 5*w, -c + 323 = 5*w. Does 49 divide c?
True
Suppose -3*i = x + i - 2, 0 = -i. Suppose 0 = 2*h, x*f = -5*h + 7*h + 160. Is 10 a factor of f?
True
Let n = 5 - -10. Let j(g) = 7*g + 229. Let f be j(-32). Suppose -m - 5 = -p - 35, n = -f*p. Does 6 divide m?
False
Let o = -950 - -1388. Let b = o + -222. Is b a multiple of 18?
True
Suppose 5*j = 5*u + 48355, -14542 = -2*j - u + 4800. Is j a multiple of 19?
True
Let h(f) = 14*f**3 + 3*f**2 + 4. Let t be h(4). Suppose -11*p - 343 = -t. Is p a multiple of 5?
True
Suppose 4*v + 50 = -5*i + 353, 0 = 4*v - 3*i - 343. Is v/1 - (-24)/(-12) a multiple of 8?
True
Suppose -5*q - 9 + 99 = 0. Suppose -1638 = q*f - 24*f. Is 21 a factor of f?
True
Let a(q) = q**2 - 3*q. Let x(k) = -k**2 + 6*k - 4. Let u be x(4). Let b be a(u). Does 10 divide (1 + 0)/(b/236)?
False
Suppose 11*f - 21*f + 34293 = -43377. Does 9 divide f?
True
Suppose 0 = 121*j - 5450178 + 1314640. Is j a multiple of 31?
False
Suppose -481*i + 543*i - 608220 = 0. Is 54 a factor of i?
False
Let z = 17172 - 7062. Is 6 a factor of z?
True
Let g = -191 - -197. Suppose -2*u - 3*p = 3*u - 256, 0 = 3*p - g. Does 5 divide u?
True
Let f be -1*(1 + 4) + 3. Is 84 a factor of ((-21)/3 - (1 + f))*-238?
True
Suppose 4*a + 3*c = a + 105, 3*a = 3*c + 99. Is -2 + a + (-12)/4 a multiple of 15?
False
Let w = 1007 - -140. Suppose -5*d = 4*a - w, 129 + 163 = a + 3*d. Does 8 divide a?
False
Suppose -3*n + 12*v + 8976 = 15*v, -3*n + 8996 = -v. Suppose 8783 + n = 62*j. Is j a multiple of 19?
True
Suppose -j - 2*j + 9 = 0. Suppose -j*m - 5 = -2. Is 9 a factor of (-160)/64*m/((-10)/(-88))?
False
Suppose 6*t + 50 = 16*t. Suppose -5*s - t = 0, 0 = -9*u + 4*u - 3*s - 853. Does 6 divide (-4)/(-2) - u/5?
True
Let t(g) = g**3 - 17*g**2 + 36*g - 9. Let c(m) = 3*m - 12. Let k be c(9). Let p be t(k). Suppose -7 - p = -4*x. Is 6 a factor of x?
False
Let w(s) = -240*s**3 - 3*s**2 - 39*s - 77. Does 31 divide w(-2)?
False
Suppose 2*l - 2*u - 90 = 0, 0 = l + u - 60 + 13. Let o = 46 - l. Suppose o = 7*s - 8*s + 100. Is 32 a factor of s?
False
Suppose -4*t - 6282 = -2*i + 2782, 2*t - 18098 = -4*i. Is 125 a factor of i?
False
Suppose 3*p = -2*h + 19, -2 - 9 = -p + 4*h. Let l be ((-14)/4 + 2)*2*p. Is 11 a factor of (-959)/l - 4/6?
False
Let u = -29 - -32. Suppose u*o = 2*k + 25, k = 2*o - 21 + 5. Let t = o + 21. Does 7 divide t?
True
Let z(l) = 6*l**2 + 473*l + 396. Does 4 divide z(-84)?
True
Suppose -8*s + w - 613 = -10*s, -2*w + 314 = s. Let a = s - -128. Does 24 divide a?
True
Let b(i) be the first derivative of -i**4 - 2*i**2 - 1. Suppose a + g - 2 = 0, g + 4 = 7*a - 10*a. Is b(a) a multiple of 24?
True
Suppose -692*q - 83*q = -6238750. Is 46 a factor of q?
True
Let a(p) = -2*p**2 - 5*p + 6. Let t(l) = 2*l**3 - 29*l**2 - 14*l - 14. Let n be t(15). Let x be a(n). Is 9 a factor of 56 - x/(-3)*6?
True
Suppose 4*y + 4 = 0, -2*y - 99 = 5*r - 3*y. Let g = 11 + r. Let q(s) = -s + 3. Is q(g) a multiple of 7?
False
Let p = -3605 + 3991. Is 2 a factor of p?
True
Is 7701*1*((-60)/10)/(-6) - 1 a multiple of 110?
True
Does 91 divide (63/(-27)*-3 - 23)*(-2 + -861)?
False
Let h(b) = -b**2 + 6*b + 4. Let q be h(7). Does 20 divide (-9 + 8)/(q/795*1)?
False
Let p(t) = 4*t - 16. Let r be p(5). Suppose 5*q - 216 = r*v, -2*q + 45 = -q + v. Let n = q - 24. Is n a multiple of 8?
False
Suppose 5*q = 5*j + 1065, -2*j - 210 = -26*q + 25*q. Let l(m) = 2*m**2 - 2*m - 3. Let a be l(3). Suppose q = -g + a*g. Is g a multiple of 5?
False
Let f(d) = -7*d + 4*d - 9 - 44*d - 36*d. Does 18 divide f(-3)?
False
Let m be (-4)/(-1) - (-3)/6*2. Suppose -867 = -2*a + 3*l, m*a = 2*a + 5*l + 1300. Does 24 divide a?
False
Suppose 4516 = -3*o + 4*p, -4*o - 4*p - 6053 = -3*p. Suppose 6*y = 4*y - 2. Is y/(-2)*o/(-9) a multiple of 14?
True
Suppose 0 = -7404*c + 7422*c - 410400. Does 38 divide c?
True
Let r(f) = 135*f + 2. Let q(l) = 136*l + 2. Let g(t) = -4*q(t) + 3*r(t). Is 17 a factor of g(-1)?
False
Let c(s) be the second derivative of s**4/6 + s**3 + 32*s**2 + 92*s. Is c(12) a multiple of 18?
False
Suppose 5*g - 22 = -2*v - 8, 3 = -3*g - 5*v. Suppose u + 1636 = g*d, -4*d - 5*u + 2070 = d. Is 5 a factor of d?
True
Let m = -7392 + 9512. Is m a multiple of 20?
True
Suppose -3*l - 5*j - 919 = 0, 7*l - j + 889 = 4*l. Let m = 606 + l. Is m a multiple of 11?
True
Let d(r) = r**3 - 30*r**2 + 10*r - 42. Let s(b) = 18*b**2 - 5*b + 5. Let c be s(1). Suppose c - 288 = -9*y. Is d(y) a multiple of 43?
True
Suppose a + 3*y - 3522 = 0, -6*a + 8*a - 7052 = -4*y. Is a a multiple of 16?
False
Let c = 12 - 19. Let z be c*((-30)/(-21) + 2). Is (-16)/z*(-234)/(-4) a multiple of 26?
False
Does 83 divide (-386 + 137)/((-1)/(-3)*(-2)/16)?
True
Let c(k) = 29*k + 206. Let m be c(-7). Suppose 3*y = 2*t + 478, -t - 2*t - 483 = -m*y. Does 8 divide y?
False
Let a(o) = -17*o - 87. Let i be a(-5). Is -12*(-3)/(i + (-114)/(-48)) a multiple of 3?
True
Let v = 597 + -607. Does 8 divide (-2464)/140*1*v?
True
Suppose 4*l + 5 - 24 = -o, 4*o - 16 = -l. Let h(x) = 22*x - 64. Is h(l) a multiple of 13?
False
Let v(q) = q**2 + 4*q - 2. Let k be -7 - (-42)/12*10/(-7). Does 14 divide v(k)?
False
Suppose -12*d + 330981 + 81915 = 0. Does 88 divide d?
True
Let q = 45557 + -1044. Is 193 a factor of q?
False
Suppose -y = -4*c + 26, -2*y - 6 = y. Let j be (543/(-9))/(c/(-18)). Suppose -2*a + 15 + j = -4*l, -123 = -a - 3*l. Is a a multiple of 27?
True
Suppose -8*j - 7*j + 331785 = 0. Suppose 0 = 40*n + j - 62439. Is n a multiple of 18?
True
Let u = 90 + -26. Suppose -4*r + 92 = -j, -j + 60 = 5*r - u. Suppose -r = -3*f + 5*s, 7*s + 14 = 2*f + 3*s. Is 13 a factor of f?
True
Let h(w) = w**2 - w + 14. Let i be (-2 - (-2 + 2))*(-3 - -2). Suppose -3*u + 10 = f - 19, 0 = i*u + 5*f - 41. Is 20 a factor of h(u)?
False
Let q(f) = 5082*f - 6. Does 141 divide q(1)?
True
Suppose -2*w + 14400 = 2*s + 2*w, 3*w = 2*s - 14407. Does 13 divide s?
True
Let c be ((5 - 4) + 5)*1. Is 19 a factor of c*20/(-18)*-114?
True
Let v(b) be the first derivative of 4*b**3/3 + 4*b + 14. Let q be v(3). Let t = -13 + q. Does 8 divide t?
False
Let u(h) = -41*h**3 - 8*h**2 + 15*h + 14. Is 44 a factor of u(-6)?
True
Let v(b) = -b**3 - 9*b**2 - 2*b + 6. Su | {
"pile_set_name": "DM Mathematics"
} |
323
Two letters picked without replacement from aaaaa. Give prob of picking 2 a.
1
What is prob of picking 1 b and 2 u when three letters picked without replacement from bbbbubbbubbbbbu?
36/455
What is prob of picking 2 v and 1 q when three letters picked without replacement from {v: 2, q: 6}?
3/28
Four letters picked without replacement from {f: 1, h: 2, o: 1, u: 3, b: 4}. What is prob of picking 2 h, 1 u, and 1 o?
1/110
Calculate prob of picking 2 y, 1 j, and 1 k when four letters picked without replacement from yykjjyjk.
9/35
Calculate prob of picking 2 r and 1 f when three letters picked without replacement from {r: 2, f: 6, d: 4}.
3/110
Calculate prob of picking 1 l, 1 q, and 1 b when three letters picked without replacement from {b: 1, u: 2, q: 9, j: 1, l: 7}.
21/380
What is prob of picking 1 c and 2 n when three letters picked without replacement from cfn?
0
What is prob of picking 3 a when three letters picked without replacement from {h: 4, a: 6, v: 3}?
10/143
What is prob of picking 1 s and 1 c when two letters picked without replacement from dsskcga?
2/21
Calculate prob of picking 2 l and 2 g when four letters picked without replacement from gglgrrrlligllrllgggg.
196/1615
Four letters picked without replacement from {d: 1, p: 2, g: 1, h: 2, s: 1}. Give prob of picking 1 g, 1 h, and 2 p.
2/35
Calculate prob of picking 1 o and 1 u when two letters picked without replacement from uoqotnt.
2/21
Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {o: 5, v: 11}.
55/112
Two letters picked without replacement from {j: 1, m: 1, d: 4, k: 7, x: 2}. Give prob of picking 1 j and 1 m.
1/105
Two letters picked without replacement from kxwkklkkkxlklkkk. Give prob of picking 1 l and 1 x.
1/20
Three letters picked without replacement from {i: 9, o: 3, a: 4}. Give prob of picking 2 i and 1 o.
27/140
Two letters picked without replacement from {y: 3, d: 7}. What is prob of picking 1 y and 1 d?
7/15
Calculate prob of picking 1 n and 2 e when three letters picked without replacement from enneeneenuunneennen.
84/323
Two letters picked without replacement from {e: 4, j: 4, a: 2, y: 5}. Give prob of picking 1 e and 1 j.
16/105
Two letters picked without replacement from {o: 3, t: 9}. What is prob of picking 2 t?
6/11
Two letters picked without replacement from {p: 1, s: 1, m: 3, j: 2}. Give prob of picking 2 p.
0
Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {o: 6, f: 3, s: 4, a: 2}.
3/455
Four letters picked without replacement from cygyzna. Give prob of picking 1 a, 1 c, 1 g, and 1 n.
1/35
Three letters picked without replacement from yydeppdpdypeypde. Give prob of picking 2 d and 1 p.
3/56
Two letters picked without replacement from {m: 2, n: 3, i: 4}. Give prob of picking 1 i and 1 m.
2/9
Three letters picked without replacement from emmmmmmemmmmmmeeemm. Give prob of picking 3 e.
10/969
Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {b: 2, g: 9}.
24/55
Two letters picked without replacement from ooojjxxbboqjooxb. Give prob of picking 1 x and 1 b.
3/40
Calculate prob of picking 1 u and 2 p when three letters picked without replacement from {r: 1, m: 1, p: 4, t: 1, u: 1}.
3/28
Two letters picked without replacement from jkljjjjkjjkjjjkkkjl. Give prob of picking 1 k and 1 j.
22/57
Two letters picked without replacement from {l: 3, z: 1, a: 3, o: 3, g: 1, s: 2}. Give prob of picking 1 z and 1 g.
1/78
Four letters picked without replacement from yxykkydyxdrkyk. What is prob of picking 3 k and 1 d?
8/1001
Calculate prob of picking 1 i, 1 p, 1 n, and 1 y when four letters picked without replacement from {i: 5, n: 6, y: 1, p: 7}.
35/646
Two letters picked without replacement from {f: 7, h: 7, j: 1, m: 1}. What is prob of picking 1 m and 1 h?
7/120
Calculate prob of picking 1 c, 1 d, and 1 m when three letters picked without replacement from jcncnnjdjnccnjmj.
1/140
Three letters picked without replacement from iiiiiiiiiisiisissiii. What is prob of picking 1 i and 2 s?
8/95
Calculate prob of picking 3 r when three letters picked without replacement from rxrrmrmmmrr.
4/33
What is prob of picking 2 k when two letters picked without replacement from {k: 17, b: 3}?
68/95
Three letters picked without replacement from {o: 2, a: 11, y: 1, h: 1}. Give prob of picking 2 a and 1 y.
11/91
Calculate prob of picking 2 z and 1 m when three letters picked without replacement from zfhfzmmfmzmhfzf.
24/455
Four letters picked without replacement from xexeexexpe. What is prob of picking 2 e, 1 p, and 1 x?
4/21
Four letters picked without replacement from whuuuuwhuauapukawh. What is prob of picking 1 a, 1 w, 1 p, and 1 h?
3/340
Three letters picked without replacement from ffafallflalfl. What is prob of picking 2 a and 1 f?
15/286
Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {s: 1, w: 1, m: 3, k: 7}.
21/220
What is prob of picking 1 n and 2 z when three letters picked without replacement from xzvznzzx?
3/28
Calculate prob of picking 2 m when two letters picked without replacement from pmxxxxfxxxxxxxfxmz.
1/153
Four letters picked without replacement from {f: 4, a: 2, t: 1, q: 1, w: 5, l: 2}. What is prob of picking 2 w and 2 f?
4/91
Three letters picked without replacement from yyyeeyueyyeyeeyeeee. What is prob of picking 1 e, 1 y, and 1 u?
80/969
Calculate prob of picking 1 v, 1 f, and 1 c when three letters picked without replacement from {o: 2, c: 4, f: 11, v: 2}.
88/969
What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 1, z: 1, i: 3}?
3/10
Two letters picked without replacement from {m: 1, n: 7, k: 3, p: 2, v: 7}. What is prob of picking 1 p and 1 m?
1/95
Two letters picked without replacement from {c: 3, g: 13, e: 3}. What is prob of picking 1 g and 1 e?
13/57
Calculate prob of picking 2 k and 1 c when three letters picked without replacement from {k: 3, z: 4, c: 2}.
1/14
What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 1, n: 5, t: 3, a: 6, u: 2}?
1/68
Calculate prob of picking 2 s, 1 e, and 1 v when four letters picked without replacement from {e: 4, s: 3, k: 1, p: 7, v: 4}.
4/323
Four letters picked without replacement from ioijxojxxxxxj. What is prob of picking 3 j and 1 i?
2/715
Two letters picked without replacement from vvmgxgke. Give prob of picking 2 v.
1/28
What is prob of picking 1 t and 2 r when three letters picked without replacement from {p: 4, t: 1, u: 3, r: 2}?
1/120
Two letters picked without replacement from afalfaf. Give prob of picking 2 f.
1/7
What is prob of picking 2 m when two letters picked without replacement from ffxxmfmff?
1/36
Three letters picked without replacement from wbwssisssbsssbssb. Give prob of picking 1 i and 2 s.
9/136
Two letters picked without replacement from jngjjjjsggggjj. Give prob of picking 2 j.
3/13
What is prob of picking 3 v when three letters picked without replacement from {s: 2, f: 1, v: 9, p: 8}?
7/95
Three letters picked without replacement from {w: 1, h: 2, v: 2, e: 2, k: 1}. What is prob of picking 2 h and 1 e?
1/28
Four letters picked without replacement from nnnnnxnnnnnnnxnnnnnn. Give prob of picking 2 n and 2 x.
3/95
Four letters picked without replacement from qjjjqjjjj. Give prob of picking 4 j.
5/18
Calculate prob of picking 2 r when two letters picked without replacement from {k: 9, r: 9}.
4/17
Three letters picked without replacement from nnnnhwwnnwwnh. What is prob of picking 2 n and 1 w?
42/143
What is prob of picking 1 s and 1 d when two letters picked without replacement from dsddddsdddd?
18/55
Two letters picked without replacement from {x: 7, t: 6}. What is prob of picking 2 t?
5/26
Four letters picked without replacement from {f: 4}. Give prob of picking 4 f.
1
Two letters picked without replacement from {p: 3, x: 1, h: 5, y: 5, a: 1}. What is prob of picking 1 y and 1 x?
1/21
What is prob of picking 3 x when three letters picked without replacement from {m: 4, x: 5, c: 3}?
1/22
What is prob of picking 1 b and 2 h when three letters picked without replacement from {b: 4, h: 2}?
1/5
Calculate prob of picking 1 r and 1 u when two letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
e.
l**(-11/6)
Simplify (s/(s**(-2/35)/s)*s)/(s*(((s**(-2/17)/s)/s)/s)/s)*(s*s**(-1/3))**(-6) assuming s is positive.
s**(1294/595)
Simplify (a**(-6)/(a**7/a))/((a**(-5)*a)/a*(a/a**(-3))/a) assuming a is positive.
a**(-10)
Simplify (s**(-3/5)*s*s**4)/((s/s**(-4))/s**2) assuming s is positive.
s**(7/5)
Simplify (x**28*x)/((x**(-25)/x)/x)*x*x**(-31)*(x/x**(-14/11))/x assuming x is positive.
x**(300/11)
Simplify ((j/(j/(j**(-1/2)/j))*(j/j**(-3/10))/j)**(-24))**(-6) assuming j is positive.
j**(-864/5)
Simplify k**(6/7)*k**(-15/2)*(k**(-2/23))**(10/19) assuming k is positive.
k**(-40921/6118)
Simplify ((j*j**0*j)**(-2/53)/(j**(-2/31)/(j**(-2/27)*j*j*j)))**(-3/10) assuming j is positive.
j**(-129311/147870)
Simplify ((u*u*u**(-22/5))/u**(-5))/(u/(u**(-1/9)/u*u)*((u*u*(u*u/u**(-8/9)*u)/u)/u)/u) assuming u is positive.
u**(-7/5)
Simplify (i/(i/(i/i**9*i*i))*i)/i**(6/17)*(i/(i**(2/5)/i))**(-16/5) assuming i is positive.
i**(-4451/425)
Simplify (u**23*u)/(u**(-9/5)*u)*(u*u/u**(-1/3))**(-11) assuming u is positive.
u**(-13/15)
Simplify ((c/(c/((c**(-12/7)*c)/c))*c)**39)**(1/24) assuming c is positive.
c**(-65/56)
Simplify (x*x*x*x/(((x/(x*x**(-2)*x))/x)/x)*(x*x**(6/17)*x)/x)/(x*x**(-2/9)*x)**(1/8) assuming x is positive.
x**(938/153)
Simplify (x**(16/7)*x**18)**(-33) assuming x is positive.
x**(-4686/7)
Simplify (r*r**(-2/7)*r*r*r**7/r*r*r*(r*r*(r**(2/7)/r)/r*r)**16)**(-44) assuming r is positive.
r**(-9636/7)
Simplify ((m/(m/(m**(-1/13)*m)))/m*m/(((m*(m**(-3)*m)/m*m)/m)/m)*(m*m/(m*m*m**(-1/4))*m)/((m**(-7)/m)/m))**(-27) assuming m is positive.
m**(-19899/52)
Simplify (((z/z**2)/z*z/z**3)/((z*z/((z**(1/3)*z)/z)*z*z)/z**(-5)))**(7/9) assuming z is positive.
z**(-266/27)
Simplify (((y**(-3)*y)/y**(2/5))**(2/121))**(1/16) assuming y is positive.
y**(-3/1210)
Simplify (l/(l**(2/17)/l))**26/(l/(l/(l/(l**8/l))))**(-8) assuming l is positive.
l**(16/17)
Simplify (x**(2/7))**(-11)*(x/x**(-1/4)*x)**17 assuming x is positive.
x**(983/28)
Simplify (g/((g*g**(-6))/g)*g**(3/4))/(g**(-16)/g**18) assuming g is positive.
g**(167/4)
Simplify (j*j*j**6/j*j*j*j/j**3*j**(1/5)*j*j**2)**(-2/59) assuming j is positive.
j**(-102/295)
Simplify (((((g*g**0*g)/g)/g*g)/g)**(1/21)*g**(2/13)/g*g/g**(-2/9))**(-5/2) assuming g is positive.
g**(-110/117)
Simplify (d*d/d**(-8)*d)/(d/(d*d*d/(d*((d**(-1/7)*d)/d)/d*d)*d))*(d**12*d)/d*(d/((d**(-2/9)/d)/d))/d assuming d is positive.
d**(1724/63)
Simplify (f**1/(f*f*f**(-2)*f))/(f**(-18)*f/(f**(1/3)*f)) assuming f is positive.
f**(55/3)
Simplify (c/c**(-4/7)*c**4*c**3*c**(-5))**(-12/11) assuming c is positive.
c**(-300/77)
Simplify o/o**18*o/(o*o*o*(o*o/(o*o**(7/9)))/o*o)*o**(15/7)*o*o**(-3/10)*o assuming o is positive.
o**(-9689/630)
Simplify (f**(-14))**(-22)/(f**(2/21)*f/(f/(f/f**(-14/3))*f)) assuming f is positive.
f**(6368/21)
Simplify (b*((b/(b**(-1/14)*b))/b)/b)**38/((b*b**31)/b**(-2/5)) assuming b is positive.
b**(-2369/35)
Simplify (q/q**(-3/7)*q)/((q**(6/7)/q)/q)*(q**(-3/11))**(-50) assuming q is positive.
q**(1325/77)
Simplify ((v*v**(-12))/v**7)/(v**(-5)*v**(-10)) assuming v is positive.
v**(-3)
Simplify j*j*j**(19/5)*j**25*((j*j/(j/(j*j**(10/3)*j)*j)*j)/j)/(j*j**(1/6)) assuming j is positive.
j**(1049/30)
Simplify ((m**(-29/3))**(-1/5))**(-2/25) assuming m is positive.
m**(-58/375)
Simplify (((r*r*r**(3/7)*r)/(r/(((r/r**(2/13)*r*r)/r*r)/r)))**(-2))**10 assuming r is positive.
r**(-7780/91)
Simplify (a*a*a*a*a**(26/7))/(a**33*a)*(a/(a/(a/(a/a**19)))*a)**(-17) assuming a is positive.
a**(-2564/7)
Simplify ((p/(p*p**(-18)))/p)**(2/37)*p**(-39)/(p**(-23)*p*p) assuming p is positive.
p**(-632/37)
Simplify (u**(-8)/u)**(-23)/((u*u**(-13)/u)/((u/u**5)/u)) assuming u is positive.
u**215
Simplify (z*(z**(-1)/z)/z*z)**(1/29)*(z/z**(-2)*z)**(-29) assuming z is positive.
z**(-3365/29)
Simplify (((y**(-2)/y*y)**(9/10))**36)**(15/8) assuming y is positive.
y**(-243/2)
Simplify (p**17/p)**(1/61)/(p/(p*p*p*(p**(-17)*p)/p*p*p*p)*p*p**(4/7)) assuming p is positive.
p**(-5683/427)
Simplify ((v**(-2))**(-4)*(v/((v/(v*v**(-3/4)/v))/v))**(-1/3))**(25/3) assuming v is positive.
v**(2375/36)
Simplify ((l**(1/6)/l)/l)**(-9/8)*l**(5/6)*(l*l**18*l*l)/l assuming l is positive.
l**(1099/48)
Simplify ((u*u**(-2)*u)**(2/25))**(-1/71) assuming u is positive.
1
Simplify (((((j**3*j)/j)/j)/j)/((j**(6/7)*j)/j)*j/(j*j*j**(-4))*j**7*j)**(-24/5) assuming j is positive.
j**(-1872/35)
Simplify ((z**(-1/3)*z*z)/z)/z**(-1)*(z*z**(-4/3))**(10/13) assuming z is positive.
z**(55/39)
Simplify (o*o/(o*o**4*o))**(-12)/(o**(-7)*o*o**(-7/6)) assuming o is positive.
o**(331/6)
Simplify (s*s*s**9*s*s**4*s)/(s/(((s*s**1)/s)/s))**(40/7) assuming s is positive.
s**(79/7)
Simplify (((i*i**5*i*i)/(i**(5/6)/i))/((i/(i/i**(-3))*i)/(i**(-2/9)/i)))**(-6/17) assuming i is positive.
i**(-161/51)
Simplify ((g*g**(-11)/g*g*g)/g**21)/(g**(2/41)*g**(-2/5)) assuming g is positive.
g**(-6078/205)
Simplify (o**(-16))**36*o**(1/45)*o**(4/7) assuming o is positive.
o**(-181253/315)
Simplify (r**(2/13)*r*r**9)/(r/r**(-1/3)*r**(2/39)) assuming r is positive.
r**(114/13)
Simplify (y/(y/(y*(y**(3/2)/y)/y))*y*y*y/(y/(y*y**(-2/7)))*y*y*y)/((y/(y*y**(-1/4)))/((y/(y**(8/7)*y))/y)) assuming y is positive.
y**(107/28)
Simplify ((l**(-1/5))**(-16/5)*l/l**(-7)*l*l/l**(4/5))**(-15) assuming l is positive.
l**(-738/5)
Simplify (n*n**(-7))**(-20/7)/(n/(n/n**(3/2)))**(1/19) assuming n is positive.
n**(4539/266)
Simplify ((c**21/(c*c*(c**20/c)/c))**49)**(-6/23) assuming c is positive.
c**(-294/23)
Simplify ((c**(2/5)/c)/c**(-7))/(((c*c**(6/5)*c)/c)/(c/(c/(c/c**(-1/3)))*c)) assuming c is positive.
c**(98/15)
Simplify ((g/g**(-20/7))/(g*g**(-17/2)))/(g**(6/5)*g**3) assuming g is positive.
g**(501/70)
Simplify (((((g**(3/10)*g)/g)/g)/g**(-26))**5)**(-42) assuming g is positive.
g**(-5313)
Simplify ((o**(1/4))**(-20/3)*(o**(-1)/o*o*o)/o**2)**(2/61) assuming o is positive.
o**(-22/183)
Simplify (((d**(-7)/d)/d)/d*d*d/((d*d/((d**2*d)/d)*d)/d*d*d))/(d*d/(d/(d*d**(-10))*d*d)*d*d**(-1/8)*d) assuming d is positive.
d**(-15/8)
Simplify (h/h**(-10)*h**(-12))/((h*h/(h*h**(-15)))/(h**3*h*h)) assuming h is positive.
h**(-12)
Simplify (v/(v**(1/3)/v))**(45/7)*(v**(-4/7)*v)/(v*v/((v/v**2)/v)) assuming v is positive.
v**(50/7)
Simplify (w**1)**(-4/19)/((w*(w/w**(-2/61)*w)/w*w)/(w/(w**(-14)*w))) assuming w is positive.
w**(12467/1159)
Simplify z*z**11*z*z**(2/13)*((z*z**(-14))/z)/(z*z/(z**(-6)*z*z)) assuming z is positive.
z**(-89/13)
Simplify (g/((g*g*g*g/(g/g**14))/g))/g**7*(g*g**(-3))**43 assuming g is positive.
g**(-108)
Simplify (w*w/(w/(w/(w**(1/3)*w*w))))**(-5)/(w**(-3/4)*w*w*w*w**5) assuming w is positive.
w**(-67/12)
Simplify (o/(o*o*o*(o/(o/((o**(3/7)*o)/o)))/o)*o)/(o**(-3/2)*o)*((o*o/o**1*o)/o)**7 assuming o is positive.
o**(99/14)
Simplify (((i**(2/19))**(1/7))**(-21))**(-33) assuming i is positive.
i**(198/19)
Simplify ((a**3/a*a*a**3/a)**(-49))**(-7/13) assuming a is positive.
a**(1715/13)
Simplify ((i*i/i**4*i*i)/i)**(5/8)/((i**(-1/7)*i*i)/i**(-2/37)) assuming i is positive.
i**(-5255/2072)
Simplify (x*x/(x*x**(-2/19)))/(x*x/(x/x**(-1/3)))*x**(-10)*x*x/(x**(-1/2)*x) assuming x is positive.
x**(-919/114)
Simplify ((t*t/t**2)**17*(t*t**(2/11))/t**(-4/7))**(-28) assuming t is positive.
t**(-540/11)
Simplify w/(w**(-7/4)/w)*w*w*w*w*w**25*w*(w**(-12))**(9/2) assuming w is positive.
w**(-81/4)
Simplify ((j**10)**(2/13))**(1/9) assuming j is positive.
j**(20/117)
Simplify ((a*a**9)/a*a/(a/(a/(a**7*a))))/((a*a**(2/3)*a)/(a*a**(3/8))) assuming a is positive.
a**(17/24)
Simplify (g**(3/7))**39*g**(1/10)*g/(g**4*g) assuming g is positive.
g**(897/70)
Simplify (((d/d**(-2))**2)**18)**(-4/5) assuming d is positive.
d**(-432/5)
Simplify ((w*w**7)/w*w/w**(1/7)*w**(-2/7)/(w/w**(-4)))**(2/3) assuming w is positive.
w**(12/7)
Simplify k**7/(k/(k/(k*k**(-1/9)*k)))*k**8/(k/(k**11*k)*k) assuming k is positive.
k**(208/9)
Simplify (((h**(3/13)*h)/h)/(h*h/(h/(h*h**(-1/6)*h))))/(h*h**18/h*h**(9/5)) assuming h is positive.
h**(-8737/390)
Simplify ((u*u**(22/7))/(u*u/(u/(((u**(-25)/u)/u)/u))*u))/(u**(1/16)*(u/((u**(1/13)*u*u)/u)*u)/u) assuming u is positive.
u**(43909/1456)
Simplify (((u/u**(5/6))/u)/u**6)/(u**(-5/2)/(u*u**(-4/11))) assuming u is positive.
u**(-122/33)
Simplify (((g**(-1/4))**0)**35)**(-32) assuming g is positive.
1
Simplify ( | {
"pile_set_name": "DM Mathematics"
} |
t one hundred thousand.
-900000
Let d = -156 + 296. Let t = d - -105. Let x = t + -246.01. Round x to 1 decimal place.
-1
Let r = 134 - -94. Let j = -227.99818 + r. What is j rounded to four dps?
0.0018
Let s = -72 - -117. Let q = -6 - s. What is q rounded to the nearest ten?
-50
Let g(r) = r - 2. Let k be g(4). Suppose k*t + 10 = 0, 4*t = h + t - 6600015. Round h to the nearest one million.
7000000
Let f = 44878484 + -27178484. What is f rounded to the nearest 1000000?
18000000
Let k = -7779906 + 12274487. Let h = k - 4494584.0999896. Let b = h + 3.1. What is b rounded to 6 dps?
0.00001
Let o = -22.34 + 0.34. Let v = o - -21.953. What is v rounded to 2 dps?
-0.05
Let m(b) = b**2 + 5*b + 1. Let q be m(-7). Let s = 10 - q. Let k(f) = -16801*f**3 - 6*f**2 - 5*f. Let h be k(s). What is h rounded to the nearest 1000000?
2000000
Let q = -27684137 + 27684116.0000068. Let f = q + 21. What is f rounded to six dps?
0.000007
Let y = -0.5 - 4.5. Let f = -67072 + 67066.9931. Let c = y - f. What is c rounded to three dps?
0.007
Let c = 426.1 - 336.0926. Let d = c - 90. Round d to 3 dps.
0.007
Let s = -330.0199 - -330. What is s rounded to three decimal places?
-0.02
Let o = -68 + 38. What is o rounded to the nearest 100?
0
Let w(i) = i - 10. Let b be w(13). Suppose 4398 + 3017 = -2*f + b*p, -5*p + 11125 = -3*f. Round f to the nearest 1000.
-4000
Let t = 3.399981 - 3.4. What is t rounded to five dps?
-0.00002
Let l = -3614.339999 - -3614.3. Let m = -0.36 - -0.32. Let o = l - m. What is o rounded to five decimal places?
0
Suppose -8*f + 12*f = 0. Suppose -y = -p + 2*p + 29005, 5*p + 25 = f. What is y rounded to the nearest ten thousand?
-30000
Let b = -9955.31 - -9874. Let s = b + -0.69. Let m = 81.99911 + s. Round m to four dps.
-0.0009
Let q = -23 + -3. Let y = 26.073 + q. Round y to two decimal places.
0.07
Let s(p) = -4*p - 8. Let j(k) = -5*k - 9. Let b(l) = 2*j(l) - 3*s(l). Let u be b(7). Round u to the nearest 100.
0
Let n(c) be the first derivative of -2100*c**3 - c**2/2 - c - 19. Suppose -3 = 2*l - 1. Let d be n(l). Round d to the nearest one thousand.
-6000
Let f = 1 + 1. Let l be (-17)/(-2) - f/(-4). Let z be l*((-21)/9 + 1). Round z to the nearest 10.
-10
Suppose 2*l - 50396 = -3*q, 5*q - 67204 = q + 2*l. Suppose c - 3*c - q = 0. Round c to the nearest 1000.
-8000
Suppose -4*h - 3*r - 9434 = 2957, 0 = 4*h - 2*r + 12406. What is h rounded to the nearest one thousand?
-3000
Suppose -7500020 = -3*h - 4*g, -4*h + 12500020 = h + 4*g. Let r be (3 + -2)/(2/h). Round r to the nearest 100000.
1300000
Let z = -185.92 - 4.08. Let c = -198.1 - z. Round c to the nearest integer.
-8
Let p = -804.6 + 143.6. Let a = p + 461. Let m = a - -200.00000093. What is m rounded to seven decimal places?
0.0000009
Let a = 70127634 - 70127599.999979. Let u = -34 + a. What is u rounded to five dps?
0.00002
Let u = 0.5 + -31.5. Let y = 31.0000017 + u. Round y to 6 dps.
0.000002
Let r = -25.86 + 31.7. What is r rounded to 0 decimal places?
6
Let q = 1.2587 + -1.24. What is q rounded to 3 dps?
0.019
Let y = 3 - -9. Suppose -y = 3*m, 4*i + 3*m = m - 372008. Round i to the nearest ten thousand.
-90000
Let t = -0.031 + -0.279. Let x = 7646737 - 7646736.6900039. Let c = t + x. What is c rounded to six decimal places?
-0.000004
Let v = 6103 - -1472. Suppose k + 3*z - 3815 = -k, 4*k - 5*z = v. Round k to the nearest 1000.
2000
Let g be ((-2)/(-5))/(1/10). Suppose -5*k - g = 2*u, -7*k + 2*k - 5*u = 10. Suppose y + 39000 = -k*y. What is y rounded to the nearest 10000?
-40000
Let o be 2240008/4 - (1 - -1). Round o to the nearest 100000.
600000
Let g be 7/((-98)/(-12))*7. Suppose g = w - 2. Let f(b) = -131251*b**2 + 7*b + 8. Let d be f(w). Round d to the nearest 1000000.
-8000000
Let u = -18.9999915 + 19. Round u to six decimal places.
0.000009
Let b = -88.0232 + 88. Round b to three dps.
-0.023
Let m = 69.366 + -1.666. Round m to the nearest 10.
70
Let a = -13 - -12.93. Let c = -0.06999997 - a. Round c to 7 decimal places.
0
Let w = -28.003 + 0.003. Let d = w + 42. Let s = d - 13.62. What is s rounded to one decimal place?
0.4
Let u(p) = -133361*p**3 - 3*p**2 + 12*p + 10. Let b be u(-5). What is b rounded to the nearest 1000000?
17000000
Let a = 7427 + -7395.77. Let i = a + -31. Round i to one dp.
0.2
Let y = 4.472038 + 0.528022. Let c = 5.6 + -0.6. Let w = y - c. What is w rounded to 5 decimal places?
0.00006
Let f be -5 - -2 - -3 - -7. Let v = -4 + f. Suppose 3*y = 4*l - 7200, v*l - 5966 = 2*y - 1166. What is y rounded to the nearest one thousand?
-2000
Suppose 2 = -b + r, 2*r = 6*r - 12. Let p be b/5 + (-2142)/35. Round p to the nearest ten.
-60
Let h = -40 - 32. What is h rounded to the nearest ten?
-70
Let v = -0.099 - -0.152. Round v to two dps.
0.05
Let p = 294 - 294.000000258. What is p rounded to 7 dps?
-0.0000003
Suppose -2*s = 2*s - 2*m - 17846, 4*m = -5*s + 22288. Round s to the nearest one thousand.
4000
Let f(y) = 108000*y**2 - y + 5. Let l be f(5). What is l rounded to the nearest 1000000?
3000000
Let a = -14.2 - -14.19538. What is a rounded to 3 decimal places?
-0.005
Let y = 5 - 8. Let o = 0 - y. Suppose -93 = -o*t + 165. Round t to the nearest ten.
90
Suppose -8 = -o - 0. Let t = o - 3. Let r be (-4)/(-10) + (-4352)/t. What is r rounded to the nearest 100?
-900
Let o = 10.5 + -32. What is o rounded to the nearest 10?
-20
Let o(c) = 2944*c + 8. Let b be o(-2). What is b rounded to the nearest one thousand?
-6000
Let j = 10168 + -10166.9463. Let q = j - 10.9614. Let o = q + 9.9. What is o rounded to 3 dps?
-0.008
Let j = 0.0106527 + -0.0107. What is j rounded to 5 decimal places?
-0.00005
Let q = -7642 - -18642. Round q to the nearest one thousand.
11000
Let v = -13718044.88890652 - -14939981.8289065. Let i = -1221937 + v. Let l = i + 0.06. Round l to seven decimal places.
0
Let q = 17358158465.0890957 + -17371284443.0691. Let p = 13125979 + q. Let o = p + -1.02. Round o to 6 dps.
-0.000004
Suppose 0 = 3*t - 4*y + 2440 + 1460, 2*t - 3*y + 2600 = 0. What is t rounded to the nearest one thousand?
-1000
Let d = 0.24 - 0. Let p = -205.628 + 206. Let l = p - d. What is l rounded to two dps?
0.13
Let d = -33.4115 - -202.5245. Let l = d - 169. Round l to 2 dps.
0.11
Let u = -4.899393 - -4.9. Round u to four decimal places.
0.0006
Let i be 1215083 - (1 - 3 - -1). Let u = i - -854916. Suppose 5*w = 2*w + u. What is w rounded to the nearest 100000?
700000
Let v(b) be the second derivative of -31*b**4/6 - b**3/3 + b**2 + 5*b. Let d be v(-3). What is d rounded to the nearest 100?
-600
Suppose -4*d + 6*z - 5*z + 32 = 0, 0 = -2*d + 3*z + 16. Let q(i) = -95000*i. Let y be q(d). Round y to the nearest one hundred thousand.
-800000
Let m = 0.158 + -0.1578988. Round m to five decimal places.
0.0001
Suppose -3*r = -z + 2*z + 3389995, 3*r = 3*z - 3390015. What is r rounded to the nearest one hundred thousand?
-1100000
Let h = -92.234 - -10.014. Let x = h - -51.8. Let v = -31 - x. Round v to one decimal place.
-0.6
Let r = 50.4 + -50. Round r to 1 dp.
0.4
Let t = 311205 + 199698. Let l = 1560903 - t. Round l to the nearest 100000.
1100000
Let x(t) = -1933334*t + 4. Let g be x(6). Round g to the nearest 1000000.
-12000000
Suppose 0 = 2*s + 2*s. Suppose 4*t + 4*y + 4 = 0, -2*t - y = 1 - 2. Suppose s = -2*b - 2*a + 133996, b - 200992 = -t*b - 4*a. Round b to the nearest 10000.
70000
Let f = 143 - 223. Let n = f - 93. Let k = 181.1 + n. What is k rounded to zero decimal places?
8
Let o = 592 - 152. Round o to the nearest 100.
400
Let q = 0.47701 - -54.39999. Let r = 55 - q. What is r rounded to 2 decimal places?
0.12
Let l = 128005 + -4868005. Round l to the nearest one hundred thousand.
-4700000
Suppose -4*n - 3*v + 2 = 0, -n + 3 = -2*v - 3. Suppose -n*r + 1839998 = -4*j, 5*j - 421560 + 2721555 = 5*r. What is j rounded to the nearest 100000?
-500000
Let c = 5.5 + -7. Let q = -8.5 - c. Let b = -7.00000005 - q. Round b to seven dps.
-0.0000001
Suppose -4*g = -11 + 3. Suppose -35 = g*k + 15. Let v = k + 55. What is v rounded to the nearest 10?
30
Let t be (-271 - -2)/(7/(-287)). Suppose t + 29971 = d. What is d rounded to the nearest ten thousand?
40000
Suppose 6*u + 41 - 155 = 0. What is u rounded to the nearest ten?
20
Let h = 11 + -8. Suppose -3*c - 1525 = -5*f, -c - 2*f = -h*c - 1010. Roun | {
"pile_set_name": "DM Mathematics"
} |
((b**(4/7)/b**(-4))**(2/15))**(-40))**(1/12) assuming b is positive.
b**(-128/63)
Simplify ((r**6*r*r/(r/(r**3*r*r)))/(r/((r**(-1/6)/r)/r*r)*r*r/r**(-3)))/(r**(1/6)/r**(2/5))**41 assuming r is positive.
r**(72/5)
Simplify (j/(((j/((j*j**(-7))/j))/j)/j)*j*j/(j**(-7)*j))/(j**(-1))**(8/15)*(j*j*(j*j**(-5))/j*j**(-2/9))/(j/(j*j*j**(1/3)*j))**23 assuming j is positive.
j**(2429/45)
Simplify ((t**(-18)/t)/((t/(t*t*t**(-2/19)/t))/t)*t**6/t*(t*t/((t**(-4/7)/t)/t))/t)**44 assuming t is positive.
t**(-55792/133)
Simplify ((((l**(-1))**(-7/3))**(-20))**(-4/15))**(-44) assuming l is positive.
l**(-4928/9)
Simplify ((w**(2/5))**(-35)/(w**(2/5)*w**(-2)))/(((w*w/(w**(-9)/w))/((w*w/(w*w**6*w*w*w))/w*w))/(w**(-1/3))**(-1/14)) assuming w is positive.
w**(-6799/210)
Simplify (m**(-1/32)*m**(7/3)*m**(-1/21)/m*m*((m*m**(8/9))/m*m)/m)**(3/2) assuming m is positive.
m**(6337/1344)
Simplify (o**(4/5)*o*o**(1/8)*o)**(-4/15)/(o**(-7/3)/o**9)**(1/7) assuming o is positive.
o**(881/1050)
Simplify (((s/((s**(-4/21)*s)/s)*s**(-5)/s)**(6/19))**(-15/7))**(-1/16) assuming s is positive.
s**(-1515/7448)
Simplify (j**2/j**(-2/3))/(j**(1/12)*j*j*j**(-5)*j)*j**(2/7)*j*j*j**(2/3)*j*j/j**3*j**(-4) assuming j is positive.
j**(71/28)
Simplify ((t**0)**(1/3))**(-41)/((t*t**(-1/13))/(t*t*t**(2/7)))**(-41) assuming t is positive.
t**(-5084/91)
Simplify ((v**6/v)**(2/35)/((v*v**9)/v**21))**(16/5) assuming v is positive.
v**(1264/35)
Simplify ((l**(-2)/l)**(-10))**29/(((l**(-3/8)*l*l)/(l*l*l*(l*l**1)/l))/(l**(-2/7)*l**(-3/10))) assuming l is positive.
l**(244101/280)
Simplify ((l*l/((l**3*l)/l*l))**1/(((l/(l**4*l)*l)/l*l)/l*l**(2/17)/l))**(-9/2) assuming l is positive.
l**(-441/34)
Simplify (((j/j**(1/10))/((j/(j*j**(2/3)))/j))/(j/j**(-3)*j**(-2)))/((j**(-1)/j)/j**(2/13))**(-4/13) assuming j is positive.
j**(-487/5070)
Simplify ((((q/(q/((q/q**1)/q)))**45)**(15/7))**24)**(20/3) assuming q is positive.
q**(-108000/7)
Simplify ((a**4/a**(1/2))/((a**6/a)/a**4))/((a/(a*a**(-3))*a*a*a*a*a**0/a*a)/(a**(1/3))**(18/7)) assuming a is positive.
a**(-51/14)
Simplify (t*t/(t/(t*t/(t**(2/7)/t)*t*t))*t*t*t)**(32/5)/((t**(-1/5)*t)/(t*t**0*t))*(t**(2/13)/(t**(-2/5)/t))**(23/2) assuming t is positive.
t**(13621/182)
Simplify ((q**1)**(8/9))**0/(((q/(q**9/q)*q*q)/q)/(q**(-1/2)/q))**38 assuming q is positive.
q**171
Simplify (((d/d**(1/4))/d)/d**(2/9))**(-37)*((d/(d*d/(d/d**(2/7)*d)))/d**(-1/3))/(d**(-4)/d**(-4/5)) assuming d is positive.
d**(27367/1260)
Simplify (((y**(-1/26)/y)/y**25)/((y*y/(y*y/y**(-2)*y))/(y**1*y)))**36 assuming y is positive.
y**(-9846/13)
Simplify ((y/y**0)/y*y**(1/28)*y**46*y**46/y*y)**(-1/19) assuming y is positive.
y**(-2577/532)
Simplify (((j**(-1/13)/j*j)/(j**8/j))/(j**(-2/5))**(-49))**(-32) assuming j is positive.
j**(55488/65)
Simplify (j*j*j*j**28*j*j)**25*j**(-18)/j**(-30/11) assuming j is positive.
j**(8907/11)
Simplify ((o**(2/7)*o)**13*o**(-1/5)/(o*o*((o**(-3/5)/o)/o)/o*o*o))/(((o**(-2)/o)/o)/o*o*o**(-3/5)*o)**11 assuming o is positive.
o**(390/7)
Simplify (y*y*(y*y**(-24))/y*y*y**(-41))/((y/(y**(-2/3)*y))/(y**43/y*y)) assuming y is positive.
y**(-59/3)
Simplify ((i**(-7)/i**(2/17))/(i/i**(-19)*i*i*i**(-30)*i))**(-21/4) assuming i is positive.
i**(21/34)
Simplify ((n**(-2/5)/n)**(1/5)*n/(n**6/n)*n/n**(1/3))/(((n/(n*n**(2/5)*n))/n)**(-20)/((n**(2/3)/n)/n)**38) assuming n is positive.
n**(-2557/25)
Simplify ((((s*s*s/s**(1/5)*s)/s)/s*s)**(5/3)*s**(11/4)/(s/s**15))**25 assuming s is positive.
s**(6425/12)
Simplify (q*q**(5/4)*q*q**4/q)/(q**(4/3)*q*q*q**(2/17))*((q*q*q/(q*q**(-1/2)*q)*q*q)**(11/6))**2 assuming q is positive.
q**(1063/68)
Simplify ((x*(x*x**(-35))/x)**36/(x**(2/15)/x*x**(-37)))**10 assuming x is positive.
x**(-35584/3)
Simplify (d/d**(-30)*d**10/d*(d**(-21)/d)/((d*d/d**(-7/3))/d))**(-5/3) assuming d is positive.
d**(-220/9)
Simplify ((z/z**(5/3)*z)/z*z/((z/(z/z**(2/9)))/z))**(-48)*(z/z**(-1/3))**(1/51)*(((z**(-6)*z)/z)/z)/(z*z**(-3/8)*z) assuming z is positive.
z**(-75805/1224)
Simplify (((i*i*i*i*i**(-1)*i)/i)**43/(((i*i**(-5/3)*i)/i)/(i/(i/(i*i**(-1/5))))))/((i/i**(-1/4))**(-27))**(-40) assuming i is positive.
i**(-18293/15)
Simplify ((c/(((c/c**(-1))/c)/c))**18)**(3/14)*(c/(c/c**(1/2)))**(3/26)*c/((c*c**(-7)*c)/c)*c/c**(2/3) assuming c is positive.
c**(12283/1092)
Simplify k**(2/5)/k**2*(k/k**(-1))**(-20)*((k/k**(-8/7))/(k*k*k/(k*k*k*k**(2/7)*k)))**(-4/5) assuming k is positive.
k**(-1552/35)
Simplify (g/g**(-40)*((g*g**(-1)/g)/g)/g)/(((g**(-7/3)*g)/g)/g*g/g**(-1/14)*g) assuming g is positive.
g**(1649/42)
Simplify ((y*y**(-2/9)/y)/y**(-3))**(-3)*(y/(y**(2/7)*y))**(1/3)/((y**(-3)/y)/(y/(y*y**(1/5)))) assuming y is positive.
y**(-162/35)
Simplify ((m**(1/6))**(8/11))**(-1/17)/(m/m**(-1/3)*m/(m/m**4*m*m)*m*((m*m*m**(2/3)*m)/m)**(-34)) assuming m is positive.
m**(16143/187)
Simplify (z**(-1/5))**(1/26)/((z/z**6)/(z*z**(2/7)))*((z*z**(1/4)/z)/(z**(4/5)*z))/(z**5/((z/((z*z/(z/z**(-3/8)))/z))/z)) assuming z is positive.
z**(75/728)
Simplify ((b*b**(-10))/b*b**(1/36)*b**(-2/23)/(b/b**(-8)))**(-7) assuming b is positive.
b**(110467/828)
Simplify ((a**(-1)/a)**(-32)/(a**2*a)**(-40))/(a**(-4)/((a*a*a/(a**(-8)*a*a))/a)*a**(-2/23)*a*a**(-8/5)/a) assuming a is positive.
a**(22734/115)
Simplify (((f**(-3)/((f*f*f*f*f*f*f*(f*f*f**1)/f*f)/f))/(f*f/f**(-2/11)*f**3/f*f))**(32/9))**(10/17) assuming f is positive.
f**(-6720/187)
Simplify (h*h*h**(2/7)/h*h*h**(-4))/((h*(h/h**(-2/11))/h*h)/(h**(-4)*h))*(h/h**0)**(-8/3)*h**(2/3)*h**2 assuming h is positive.
h**(-531/77)
Simplify (w/w**(-2/9)*w**(-1))/((w**1/w)/w*w**(-2/17)/w*w)*(w**(-1/3)/w)**(-10)/(w**(-3)/(((w**(1/2)*w)/w)/w)) assuming w is positive.
w**(5255/306)
Simplify ((t/((t**(-2)*t)/t)*t*t/(t/(t*t**(-5/2))))/(t**1)**20)/(t**(-1)*t**(-1/6))**(-34) assuming t is positive.
t**(-343/6)
Simplify (l/(l*l*l*l/(l*l/(l**(17/5)*l))))/(l/(l**(-4/11)/l))*(l/(l/(l/(l*l*l**(-17))*l)*l))/l**20 assuming l is positive.
l**(-647/55)
Simplify (((o*o**(4/3)*o)/o)/(o/(o*o/(o*o**(1/8)))))**(-32)/(o**(2/23)*o/o**(-2/5)*o*o/o**(-1)*o**(-1)) assuming o is positive.
o**(-25583/345)
Simplify (g*g/((g*g*(g*g*g/g**(-1/4)*g*g)/g*g*g)/g))/g**(-2/3)*(g*g**1)**(-2)*((g**0)**(-2/25))**(-34) assuming g is positive.
g**(-103/12)
Simplify ((g/((g**(-3/7)*g)/g))**(-2/19))**35*g**(-7/4)*(g**(-7)/g)/g*g**(-1)/g**(2/7) assuming g is positive.
g**(-9203/532)
Simplify ((x**(-2/5))**(-2/3))**(-1)*(x**(-1)*x*x**(-6)/x)/(x**(-1/2)/x)**(10/13) assuming x is positive.
x**(-1192/195)
Simplify (((p**31/p)/p)**(-2/69)/(p/p**43*p**(2/19)*p))**(-6/7) assuming p is positive.
p**(-105022/3059)
Simplify (f**(1/10)/f**(-6))/((f/(f**(1/5)*f))/(f/((f*(f*f*f*f**(-1/7))/f*f*f)/f)))*(f**(1/3))**8/((f*f**(-2/3))/f*f**(-2/17)) assuming f is positive.
f**(24611/3570)
Simplify (((u**(2/9)*u)/((u*u*u/u**(5/6)*u*u)/u*u)*(u/u**1)/(u/u**0))**18)**(-17) assuming u is positive.
u**1207
Simplify (a*a**3*a**(-2/15)*a*(a*a*a*a**(-1/3)*a)**(-1/3))/(((a/a**(2/21))/a)/a*a**5*(a/(a/(a*a**(2/7)*a)*a)*a)**14) assuming a is positive.
a**(-10162/315)
Simplify (c/(c**0/c*c)*c**(-4)*c)**(-19)/(c**(-2/13)*c**(-1)/c*c)**(-39) assuming c is positive.
c**(-7)
Simplify (((n*(n**(-8/5)/n*n)/n*n)/n*n*n**(-1/2))**(-26))**(-2/19) assuming n is positive.
n**(-286/95)
Simplify ((a/(a*(a*(a/a**(1/4))/a)/a*a*a))/(a/a**(3/11)))**(-1/42)/(a**(-2/23)*a/a**7)**(20/9) assuming a is positive.
a**(1732321/127512)
Simplify ((j**(-2/7))**(5/9)*j/(j/(j/(j/(j*j**5))))*j**11)**47 assuming j is positive.
j**(49867/63)
Simplify ((f/(f/(f/(f**1/f))))**(-8/13))**(-10/9)/((f**(3/7))**(2/3))**(-7) assuming f is positive.
f**(314/117)
Simplify ((l**(-5)*l*l*l*l**15*l)/((l/(l*(l*l**18/l)/l))/(l/(l*l*l**(3/7)*l))))**4 assuming l is positive.
l**(800/7)
Simplify ((h**(-1)*h)**20/(h**(-4)/h*h*h/(h**3*h)))/((h**(2/7))**(30/7))**34 assuming h is positive.
h**(-1697/49)
Simplify ((b**(-3/7)/b**(-6))/(((b/((b/(b/(b/(b/b**(-1))*b)))/b)*b)/b*b)/(b**3/b)))/((b*b**(2/7))**29)**2 assuming b is positive.
b**(-70)
Simplify (h*h**(-1/3)*h)**(-11)*(h/(h*h*h*h**5/h)*h)/(h/(h**7*h))*(h/h**(2/5))**(-4)/((h**(-7)*h)/h*h/h**(-5/6)) assuming h is positive.
h**(-407/30)
Simplify (l/((l/(l*l**1))/l)*l**6)**18/((l/(l**(-1/4)/l*l))/l**4*l*l*(l**(-4)/l)/l*l*l/(l**(-1/3)/l)*l) assuming l is positive.
l**(1973/12)
Simplify (((m**(-3/5)/m**(-1/6))/(m*m**1)**(-1/ | {
"pile_set_name": "DM Mathematics"
} |
t n be o(-4). Suppose 0 = -4*v - 5*k - 12, v - 4*v + n*k = -14. Solve 2*t + v = -5*q - t, l*q - t + 5 = 0 for q.
-1
Suppose 0 = -6*o + 4*o - 4*j + 14, -2*j + 22 = 4*o. Solve a + 3*f - 3 = -2*a, -4*a + 9 = o*f for a.
-4
Let z be (-32)/(-8) + (-1 - 1). Suppose 0 = n - z*n. Solve 3*a = -5*c + 15, n = -3*a + 5*c - 4 - 11 for a.
0
Let u be (8/32)/((-1)/(-20)). Solve -3*f - 23 = -u*v - 5, 5*v - 5*f - 20 = 0 for v.
3
Let w(x) = -3*x. Let j be w(-1). Solve 0 = j*p - 0*c - c + 7, 3*p + 2*c + 4 = 0 for p.
-2
Suppose 5*y = 5*x - 16 + 6, 2*x - 3 = 3*y. Solve x*g = 3*b + 9, -b = 4*g - 3*g + 7 for g.
-2
Let b(m) = -m**2 + 5*m + 38. Let h be b(9). Solve -g + 1 = 5*j, -j + 0*g + 9 = -h*g for j.
1
Let f(c) = c**2 - 10*c - 11. Suppose 8*k - 12*k + 44 = 0. Let h be f(k). Solve d + 2*t + 3 = 0, h*t - 3 = -d + 4*t for d.
-1
Suppose a - 10 = -5. Suppose -1 = 2*q - 11, 0 = -g - q + a. Suppose h = -g*h + 3. Solve 0 = 5*t, -4*t + h + 3 = 3*i for i.
2
Let x be (-54)/36*(-8)/6. Solve -2*b + x*w - 4 = 0, 0*b + 2*w = -b - 11 for b.
-5
Suppose 0*v - g + 15 = 3*v, 0 = 3*v - 2*g - 6. Suppose -2 = v*l - 22. Let n(p) = -p**2 - p + 3. Let a be n(0). Solve a*q = 4*q - u + 5, 3*q - l*u = -21 for q.
-2
Let g = -23 + 26. Solve 7 = -4*a + j, -2 - 6 = -a - g*j for a.
-1
Let a(t) = t + 8. Let l be a(-7). Let r be (-2 + l - 1) + 5. Solve 0 = 4*z - 5*k + 10, -z - 6 = -5*z - r*k for z.
0
Suppose -41 = -5*r + 64. Let l be (-1)/5 + r/5. Suppose m = -0*m + l. Solve -p - 4*p - 16 = -3*c, 0 = m*c + p - 6 for c.
2
Let g be (-7)/((-6)/9*4/8). Solve -12 = -3*j + 3*q, -3*j = -2*j + 4*q + g for j.
-1
Let p(d) = d**3 - 4*d**2 - 3*d - 5. Let i be p(5). Suppose 0 = -4*g - 3 - 1. Let q be 6 - (-1 - (-2 + g)). Solve b = w, 0 = w + i*b - q*b - 6 for w.
3
Suppose 11*b - 6 = 9*b. Solve -3*m + b*v = -15 + 3, -2*m + 11 = v for m.
5
Let j(u) = -u**2 - 5*u - 2. Let g be j(-2). Solve -s = -3*m - 3*s + 23, 16 = g*s for m.
5
Let f = -5 - -11. Solve 2*m = l - 2 - f, 0 = -2*l + 3*m + 13 for l.
2
Let p = -4 + 9. Solve p*b = -g + 2*g - 24, 5*b + 4*g + 4 = 0 for b.
-4
Let s = 3 + -9. Let k be 13/2 - (-3)/s. Let z be (-16)/(-6) - (-2)/k. Solve 5*b = -z*c, 0*b + 17 = -4*b + c for b.
-3
Suppose -3*l + 3*y - 4*y + 9 = 0, 5*y = -3*l + 9. Solve -c = -2*q - 6, -l*q + q = 10 for c.
-4
Suppose w + 1 = -2*y - 0, 4*y - 7 = -5*w. Solve -2*g - w*g = 4*q + 14, -5 = 5*q for g.
-2
Suppose 28 = 31*n - 17*n. Solve 0 = -4*t - 2*l + 18, n*l = -3*t + t + 8 for t.
5
Let f = -1 + 4. Suppose 0 = f*q - 5*q + 10. Solve 0 = g - q*t + 15, -2*t = -4*g + t + 8 for g.
5
Suppose 14 = -5*p + 24. Solve -4*y + s - 12 = -0, -p*y + 12 = 4*s for y.
-2
Let a(t) = -9 - 3 - t**2 + 7*t + 3*t. Suppose 2*q = q + 8. Let f be a(q). Solve 5*r + w = 22, 7 = f*r - 5*w - 28 for r.
5
Suppose -2*f + 0*f + 15 = -z, 4*z - 12 = 0. Solve -3*y - 2*i + f = -0*i, 5*y + 2*i - 15 = 0 for y.
3
Let k(t) = -t**3 - 6*t**2 - 3*t + 6. Let d be k(-5). Let a = 1 - d. Solve 4*w - 2*w + 8 = 0, a*w = 5*u + 5 for u.
-5
Let r(v) = -v**2 + 4*v + 9. Let n be r(5). Solve 2*q = n, 0*q = -5*d + q + 13 for d.
3
Let k be (-1)/(-2)*-6 + -1. Let r = k + 24. Solve 4*z - 3*z = -3*p + r, z = 2*p - 5 for z.
5
Let j = -12 + 12. Let w be 2 + 3/12*j. Solve -2*f + 0*f = 2*v, -3*v - 15 = -w*f for f.
3
Let x(w) = 7*w + 4 + 0 - 8*w + 3. Let s be x(4). Solve j + 20 = i - 4*j, s*j + 4 = -i for i.
5
Let y(o) = -o + 12. Let h be y(6). Solve -h*x - 3*z - 11 = -x, 5 = -5*x - 5*z for x.
-4
Let j be (-2 - -2) + (2/2 - -3). Solve 0 = 5*t - j*m - 30, -3*t = -0*t + 3*m + 9 for t.
2
Suppose 2*l = -2*k, -7*k + 3*k - l + 6 = 0. Let b be 5 + (-2 - -2 - 1). Solve -k = -s + 2*p, b*s + s = -p - 12 for s.
-2
Let q(w) = w**2 + 4*w. Let h be q(-4). Solve -2*d - t + 2 = 0, 5*d - d + 5*t + 8 = h for d.
3
Let m(i) = i**2 - 9*i + 11. Let f be m(8). Solve -3*v = f*o - 21, o = -4*v + 5*v - 3 for o.
2
Let t(v) = v**3 + v**2 - 2*v. Suppose 5*m - 3*m + z = -3, -1 = -2*m - 5*z. Let o be t(m). Solve o = 5*i - 15, 2*f - i = 2*i - 13 for f.
-2
Let l(m) = -2 - 4 + 3*m - 4 + 9*m**2 + m**3. Suppose -2*b + 22 = -2*g, 5*b + 2 = 3*g + 41. Let k be l(g). Solve -k = -2*z - 4*v, 40 = -2*z + 7*z + 3*v for z.
5
Let q be (6 + -11)*3/(-5). Let d = q + 18. Solve 5*b + 16 = 3*f, -3*b - d = -f + 3*f for f.
-3
Suppose 3*o - 19 = -4. Solve 5*a = -o*g, 0*a - 3*g = 5*a - 8 for a.
4
Let a(x) = x**2 - 3*x. Let i be a(-4). Suppose 0 = -5*m - 3 + i. Solve 5*y - 45 = -5*n, -m*y = -0*y - n - 15 for y.
4
Let s = 7 + -2. Suppose s*x - 16 = 4. Solve -w - i = 4*i - 15, x*i = -3*w + 1 for w.
-5
Let f = 1 + 1. Suppose -y = f*y. Solve y = 2*g - a - 4*a, -3*a - 1 = -g for g.
-5
Let w(c) = c**3 + 8*c**2 - 10*c + 20. Let f be w(-9). Let g(t) = t - 1. Let i be g(1). Solve 6*l = -4*u + 2*l + 28, i = 2*u + 5*l - f for u.
2
Let h be (-1)/3*(-7 + -8). Suppose 4*t - 10 = h*g + 12, 5*g - 10 = 0. Solve 4*s - t = -0*o - 2*o, 2*o - 4*s + 8 = 0 for o.
0
Suppose 3*j - x + 0*x - 3 = 0, x = 0. Solve -5*n + 26 + j = -3*l, -n + 3*l = -15 for n.
3
Let q = 5 + 2. Let h = -7 - -10. Solve 6 = -3*v, p + h*v = 2*v - q for p.
-5
Let h(o) = o**2 + 5*o - 4. Let u be h(-6). Let r be ((-6)/(-15))/(u/10). Solve 3*b + r = 6*b - z, 4*b + 12 = 5*z for b.
2
Let z(q) = q**2 - 5*q - 6. Let v be z(7). Solve -v = -3*h + n - 3, -2*h + 22 = 4*n for h.
3
Suppose -3*d - 6 = -3*m, -2*d + 4*m - 29 = -5*d. Let l = 6 - 5. Let q be (-1)/(-1) - (-2 - 1). Solve 0 = q*h + d*x + x - 4, 3*h = -2*x - l for h.
-3
Let i be (-1 + (-8)/(-3))*-3. Let y be i/(-10)*4*1. Suppose 15 = -v + 6*v. Solve 0 = -3*x + v*t - 9, -2*x + t - 9 = -y*t for x.
0
Let w(y) be the third derivative of y**4/24 + y**3/2 - 9*y**2. Let q be w(-1). Solve 8 = -k + 4*x, 4*k - q*x + 13 = -5 for k.
-4
Let c = 8 - 11. Let x be c - -1 - (13 + -17). Solve -3*i + g + 4*g = -11, -5*g = x*i + 26 for i.
-3
Let b = -31 + 43. Let o be (-120)/(-45)*b/2. Solve -q + 1 = 2*l - 6, o = l + 3*q for l.
1
Let d be (1*-5)/(-4 + 3). Solve -5*g - d*f - 20 = 0, 18 - 2 = -g - 5*f for g.
-1
Let x be -11*(6/(-3))/2. Suppose -4*o - 4*j = -4, 3*o = o + 2*j - 6. Let n be (-1)/((o/2)/1). Solve 3 = -2*v - 5, 0 = 3*q + n*v + x for q.
-1
Let m(j) = -j**2 - 11*j - 3. Let z be 3*1 - (-26)/(-2). Let i be m(z). Solve -5*y + 14 = -2*f, 4*y = i*f - 2*f + 18 for y.
2
Let b(h) = h**3 + 11*h**2 - 14*h - 17. Let w be b(-12). Solve 15 = 5*s, 4*s = m - 0*m + w for m.
5
Let y = 5 - 1. Suppose -y*n = -3*n - 2. Solve -v = 4*w + 3*v - 12, n*w = -3*v + 8 for w.
1
Suppose -2*l + 4*l + 4 = 3*g, 4*l = 2*g. Suppose g*p - 4*p + 10 = 0. Solve 0 = -b + p*k + 1, k = -2*b - 12 + 3 for b.
-4
Let s(j) = -j**2 + 8*j + 3. Let i be s(4). Suppose 3*n - 4*d = 16, -2*d - 4 = 2*d. Solve -n*z - 30 = -2*q, -z - i = -3*q + 1 for z.
-5
Suppose 4*t - 63 = t. Solve -4*v + 18 = -n, -4*v = v - 2*n - t for v.
5
Let z(d) = 2*d**2 + 5*d - 8. Let j be z(3). Solve -r = -4*g - j, 4*r + 0 - 5 = -3*g for g.
-5
Let i be (5 - 2)*(-21)/(-9). Solve 0 = -4*g - s - 7, -2 = 3*g + i*s - 3*s for g.
-2
Suppose 0 = -5*m + 3*m + 8. Solve -z + 3 = 3*w + 2*z, -w - 11 = m*z for w.
5
Suppose 32 = 4*o + 12, 2*f - 2*o - 6 = 0. Let k be (41/4)/(2/8). Solve -2*m - 3*m + k = 4*c, 3*c = 4*m - f for c.
4
Suppose -12*b + 7*b + 50 = 0. Let z be (6/15)/(1/b). Solve 0 = z*y + 2*g - 10, -y = -4*g + g - 13 for y.
4
Let k = -4 + 8. Suppose -k*q = -9*q + 35. Let g = 206 + -206. Solve g*z = 3*l - 2*z - q, l - 4*z + 11 = 0 for l.
5
Let d(l) = -l**2 + 4*l - 3. Let a be d(2). Suppose -s + 9 + a = 0. Solve -2*p - 12 = -4*w, 3*p - 3*w - 4 = -s for p.
2
Suppose -14*k = -404 - 72. Solve -3*x - 2*x - k = 3*m, 5 = -x for m.
-3
Let q(p) = 2*p + 8. Let v be q(-6). Let g(d) = -d**2 - 3*d + 4. Let c be g(v). Let l = -16 + 17. Solve -f - 14 = 5*x + l, c = 3*x + 5*f - 13 for x.
-4
Suppose -3*a + 85 = -4*f, 0 = 5*a + f - 51 - 83. Solve -3*l = 2*g - 7*g - 30, -a = 4*g - 3*l for g.
-3
Suppose 3*d + 5*n = 24, 0*n = 2*d + 5*n - 21. Suppose -2*s = d*s - 20. Solve 2*y - 4 = 2*u, 5*u + 2 + s = 4*y for y.
4
Suppose -2*c + 18 = 4*u, -4*c - 4*u - 1 = -25. Suppose c + 8 = d. Suppose -d = -b - 0. Solve 5*t - 27 = -3*z, -4*z + b = t - 8 for t.
3
Suppose 2*j + 5 - 11 = 0. Solve -2*c - 14 = -2*s, -s + 10 = -4*c - j for s.
5
Suppose -2*v + 15 - 3 = 0. Suppose 4*d = -14 - v, 0 = 3*o + 3*d - 3. Solve z = -3, -2*a + 2*z = -o*a + 14 for a.
5
Let i = -5 - -7. Suppose -5*z - i*n = -9, -2*n + n = -2*z. Solve | {
"pile_set_name": "DM Mathematics"
} |
3
Collect the terms in -1379*b + 845*b + 538*b.
4*b
Collect the terms in -11787*r**3 - 11769*r**3 - 11762*r**3 + 35320*r**3.
2*r**3
Collect the terms in -8 - 27188*t + 54372*t - 27185*t.
-t - 8
Collect the terms in -6326*i**2 + 96*i - 96*i.
-6326*i**2
Collect the terms in -8433*n**2 + 9 - 10 + 7*n**3 + 9*n**3.
16*n**3 - 8433*n**2 - 1
Collect the terms in -177*h**3 + 75*h**3 + 85*h**3.
-17*h**3
Collect the terms in 31*d**2 + d**2 - 9*d + 7*d - 16.
32*d**2 - 2*d - 16
Collect the terms in 0 + 0 - 20301*n + 20421*n.
120*n
Collect the terms in 149*u + 189*u + 7 - 7.
338*u
Collect the terms in 39015 - 78026 + 5*t + 39011.
5*t
Collect the terms in -91 + 16*h + 0*h**2 - 9*h - 4*h**2.
-4*h**2 + 7*h - 91
Collect the terms in 62*t**3 + 23520661 - 23520661.
62*t**3
Collect the terms in -45*x + 29*x + 23*x - 6*x + 26*x**2.
26*x**2 + x
Collect the terms in 746*f - 2250*f + 737*f + 764*f - 5.
-3*f - 5
Collect the terms in 6*g**2 - 5*g**2 - g**2 - 17406*g**3.
-17406*g**3
Collect the terms in -22*g**3 - 21*g**3 + 34*g**3 + 345*g**2 + 2.
-9*g**3 + 345*g**2 + 2
Collect the terms in 492*z**2 - 301*z**2 - 248*z**2.
-57*z**2
Collect the terms in 43 - 127*x - 127*x + 384*x - 127*x.
3*x + 43
Collect the terms in -307015*a + 153512*a + 153507*a.
4*a
Collect the terms in 216752 + 297*d**2 - 216752.
297*d**2
Collect the terms in 1 + 1 + 3 + 982*m**2.
982*m**2 + 5
Collect the terms in 3 + 4*t**2 + 6*t**2 - 6*t**2 - 6*t + 11*t**2.
15*t**2 - 6*t + 3
Collect the terms in -3772 + 38*q**3 + 1893 + 1879.
38*q**3
Collect the terms in -361 + 0*p**2 - 2*p**2 + 710 - 349.
-2*p**2
Collect the terms in 49*o**2 + 138*o**2 - 102*o - 164*o + 266*o.
187*o**2
Collect the terms in 3 - 5242*f - 3 + 6728*f.
1486*f
Collect the terms in 93094*p**2 - 1 - 9169*p**2 + 1.
83925*p**2
Collect the terms in 43572*z - 43572*z - 4*z**3.
-4*z**3
Collect the terms in -844*n**2 + 82 - 82 + 844*n**2 - 17*n**3.
-17*n**3
Collect the terms in -34*f**2 + 686*f**3 + 697*f**3 + 22*f**2 - 1386*f**3.
-3*f**3 - 12*f**2
Collect the terms in 42*r**2 + 16*r**2 - 102*r**2 + 18*r**2 + 21*r**2.
-5*r**2
Collect the terms in 29551*w + 0 - 14773*w + 0 - 14776*w.
2*w
Collect the terms in 4485*w**2 + 4498*w**2 - 8956*w**2.
27*w**2
Collect the terms in 7 - 12 + 7 - 2 - 816*a**2.
-816*a**2
Collect the terms in 1875 - 53*w**2 - 2*w**2 - 3753 + 1880.
-55*w**2 + 2
Collect the terms in -18*r**2 + 17*r**2 - 506*r - 38*r.
-r**2 - 544*r
Collect the terms in 4*o + 238 - 131 + 221 - 2*o.
2*o + 328
Collect the terms in 22 + 90 - 3 + 148*t.
148*t + 109
Collect the terms in -2173*r - 20*r**3 - 2598*r + 5*r**3 + 17*r**3.
2*r**3 - 4771*r
Collect the terms in 144 - 36 - 16*f - 37 - 36 - 37.
-16*f - 2
Collect the terms in -1750 - 1752 + 4*c**2 + 3502.
4*c**2
Collect the terms in -55*j + 37*j**2 + 665*j**2 + 53*j.
702*j**2 - 2*j
Collect the terms in -2254*h + 2254*h - 941*h**2 + 904*h**2.
-37*h**2
Collect the terms in 810*z**3 + 2*z - 452*z**3 - 397*z**3.
-39*z**3 + 2*z
Collect the terms in 77*t - 36*t - 43*t - 29*t**2 + 0*t**2.
-29*t**2 - 2*t
Collect the terms in 52*l + 57 - 30*l - 20*l.
2*l + 57
Collect the terms in 3695*o**2 - 7387*o**2 - 3*o**3 - 6*o**3 + 3692*o**2 - 34*o.
-9*o**3 - 34*o
Collect the terms in -724*x**2 - 11*x**3 - 10*x**3 + 724*x**2 + 22*x**3.
x**3
Collect the terms in 6216*d**2 + 4677*d**2 + 2*d - 2*d.
10893*d**2
Collect the terms in -31*f**2 + 2*f - 2*f + 23*f**2 - 4*f**2.
-12*f**2
Collect the terms in -52 + 97 - 45 + 358*q + 407*q.
765*q
Collect the terms in p + 4*p**3 + 3*p + 15*p**3.
19*p**3 + 4*p
Collect the terms in 300*w - 49641979 + 49641979.
300*w
Collect the terms in -75*j**2 + 2*j - 37 - 1049*j**2 + 37.
-1124*j**2 + 2*j
Collect the terms in 5351 - 5351 - 18*w**2.
-18*w**2
Collect the terms in -18*q + 12*q - 5*q - 5*q + 7.
-16*q + 7
Collect the terms in -2*w**2 + 3465 + 3436 - 6835.
-2*w**2 + 66
Collect the terms in -1954*b**3 + 6*b + 0*b - 2*b + 1962*b**3.
8*b**3 + 4*b
Collect the terms in -131*r**3 - 1665*r**3 - 1672*r**3 + 1046*r**3.
-2422*r**3
Collect the terms in -v**2 + 35*v**3 + v**2 - 3*v + 83*v**3.
118*v**3 - 3*v
Collect the terms in 166 + 4*t - 6*t - 165 + 3*t + t.
2*t + 1
Collect the terms in -50189*j**2 + 50188*j**2 + 25 + 3 - 3.
-j**2 + 25
Collect the terms in 108606*g**2 - 36196*g**2 - 36196*g**2 - 36211*g**2.
3*g**2
Collect the terms in 2*g**2 + 9076*g - 9085*g - 9*g**2.
-7*g**2 - 9*g
Collect the terms in -2687050*v - 2*v**2 + 2687050*v.
-2*v**2
Collect the terms in -2238*a - 2208*a + 4443*a.
-3*a
Collect the terms in -22455952*y + 3 + 22455954*y - 3.
2*y
Collect the terms in -4 - 7892*l**3 + 14 + 7890*l**3 - 10.
-2*l**3
Collect the terms in 252*w**2 - 84*w + 1 + 84*w.
252*w**2 + 1
Collect the terms in 196 + 190 + 51*j**2 + 199 - 585.
51*j**2
Collect the terms in 89600*v + 3 - 3.
89600*v
Collect the terms in -26767*a**2 - 28006*a**2 + 16490*a**2.
-38283*a**2
Collect the terms in 26 + 10 + 444*x**2 + 0*x - 3*x - 36.
444*x**2 - 3*x
Collect the terms in 122688468 + 200*f + 5*f**2 - 122688468 - 200*f.
5*f**2
Collect the terms in -4 - 54417*p + 4 - 5*p**2 + 54417*p.
-5*p**2
Collect the terms in 423*j**3 + 80*j**3 + 6 - 462*j**3.
41*j**3 + 6
Collect the terms in 61*f - 539*f + 1165*f + 1314*f.
2001*f
Collect the terms in -688*s - 1065 + 1383*s - 698*s + 1057.
-3*s - 8
Collect the terms in -852*i**3 + 407*i**3 + 392*i**3 + 6 + 3 - 12.
-53*i**3 - 3
Collect the terms in -2 - 32*f - 19*f - 152*f.
-203*f - 2
Collect the terms in -3 - 2 + 4 + 69*d**3 + 1.
69*d**3
Collect the terms in -50*n**2 + 128*n**2 - 43*n**2 - 46*n**2.
-11*n**2
Collect the terms in 2819*x**3 - 4*x + 2887*x**3 - 5613*x**3 + 4*x.
93*x**3
Collect the terms in -65 - 57 + 29 - 4*c**2 + 49 + 44.
-4*c**2
Collect the terms in -149690 - 6*u + 149690.
-6*u
Collect the terms in -172109 + 49*z**2 + 172109.
49*z**2
Collect the terms in 18*l**2 + 12*l**2 - 81*l**2 - 51*l**2 - 34*l**2.
-136*l**2
Collect the terms in i**2 - 176674499 + 176674499.
i**2
Collect the terms in -125*h**3 - 18*h**3 + 76*h**3 + 60*h**3.
-7*h**3
Collect the terms in -56*x - 22*x + 171*x**2 - 167*x**2.
4*x**2 - 78*x
Collect the terms in -15*o**3 - 865 - 29*o**2 + 18*o**3 + 29*o**2 + 848.
3*o**3 - 17
Collect the terms in -4 - 24*r + 0*r + 7*r + 4*r + 9*r.
-4*r - 4
Collect the terms in 25*n + 22*n - 46 + 46 + 22*n - 62*n.
7*n
Collect the terms in -k**2 - 301583*k**3 + k**2 + 603169*k**3 - 301580*k**3.
6*k**3
Collect the terms in 6*f + 10 + 16 - 5*f - 8*f**2.
-8*f**2 + f + 26
Collect the terms in -13*t - 13*t + 5*t + 9*t + 8*t.
-4*t
Collect the terms in 23*p - 209 - 35*p + 13*p.
p - 209
Collect the terms in -12 + 6 - 42*r**3 + 51*r**3 + 6.
9*r**3
Collect the terms in -4964*u**2 + 9432*u**2 - 4729*u**2.
-261*u**2
Collect the terms in 233*v**2 - 851*v + 851*v.
233*v**2
Collect the terms in 2 - 2 - 16*g + g - 10*g.
-25*g
Collect the terms in -1088*b**3 - 540*b**3 - 220*b**3.
-1848*b**3
Collect the terms in 572*a - 295*a + 468*a.
745*a
Collect the terms in 3*g**2 - 2*g**2 + 11*g**2.
12*g**2
Collect the terms in 4*r**2 + 405 + 99 - r**2.
3*r**2 + 504
Collect the terms in 61*l**2 - 5*l**3 + 98*l**2 - 2*l**3 - 79*l**2 - 81*l**2.
-7*l**3 - l**2
Collect the terms in -938575*s**2 + 5*s**3 + 938575*s**2 - 7*s**3 - 15.
-2*s**3 - 15
Collect the terms in -3 - 5*m**2 - 2 + 1013*m + 1004*m - 2017*m.
-5*m**2 - 5
Collect the terms in 15401*r**3 - 30786*r**3 + 15387*r**3.
2*r**3
Collect the terms in 2 + 280755*v - 2.
280755*v
Collect the terms in -7*m**2 + 56*m - 4*m**2 + 14*m**2.
3*m**2 + 56*m
Collect the terms in 31*w**2 - 95*w**2 + 28*w**2 + 33*w**2 + 25*w**2.
22*w**2
Collect the terms in -14*m - 4158 + 4158 - 17*m - 17*m - 12*m.
-60*m
Collect the terms in 10*g - 7073*g**3 - 10*g.
-7073*g**3
Collect the terms in -153185*j**2 - 1 + 153192*j**2 + 1.
7*j**2
Collect the terms in -208 + 208 - 10*y**2.
-10*y**2
Collect the terms in -103229*o**3 + 51614*o**3 + 51631*o**3.
16*o**3
Collect the terms in -186*o + 159*o**3 + 186*o - 518*o**3.
-359*o**3
Collect the terms in 70*f - 3 - 42*f - 38*f + 8*f.
-2*f - 3
Collect the terms in -21*p + 2*p + 4*p - 6*p + 10*p.
-11*p
Collect the terms in 26*k**2 + 7650*k**3 + 3*k**2 - 7632*k**3.
18*k**3 + 29*k**2
Collect the terms in -50*h**3 + 5 + 177*h**3 - 5.
127*h**3
Collect the terms in 10*i - 8*i - 2*i + 111*i**3 - 105*i**3.
6*i**3
Collect the terms in 406*v**2 - 67 | {
"pile_set_name": "DM Mathematics"
} |
e dps.
-0.00023
Let w be 2 + -3 + -1997 - 2. Round w to the nearest ten thousand.
0
Let c = -207.3 - 6.7. Let m = 213.794 + c. What is m rounded to two dps?
-0.21
Let n = 6 - 2. Suppose 5*b + 20 = -p, 0 = n*p + 2*b - b - 15. Suppose -4*q + 28000008 = -p*h, 16800008 = -3*h + 3*q + q. Round h to the nearest one million.
-6000000
Let s = -475454562.6000111 - -475454774.6. Let w = s + -212. Round w to six decimal places.
-0.000011
Let g = 5.91 - 1.21. What is g rounded to zero decimal places?
5
Let k = 15 + -15.0003. What is k rounded to two decimal places?
0
Let q(v) be the second derivative of -v**5/20 - v**4/4 + 5*v**3/3 - v**2 + 2*v. Let z be q(-7). What is z rounded to the nearest ten?
120
Suppose 24 = 4*f - 2*d, 5*f + d - 17 = -3*d. Suppose -f*h = 5133775 - 1483775. What is h rounded to the nearest 100000?
-700000
Let w = -0.28 - -0.3396. Let f = w - 0.06. What is f rounded to four decimal places?
-0.0004
Let x = -1.45 + 0.05. Let a = -21.2 - -14.3. Let r = a - x. Round r to 0 dps.
-6
Let w = 8 - 6. Suppose y + 4*o = 708, -2889 = -4*y + w*o + o. Suppose -l - y = 2*l. What is l rounded to the nearest 100?
-200
Let k = -0.044 - 0.636. What is k rounded to 0 decimal places?
-1
Let i(g) = -g**3 + 3*g**2 + 5*g - 5. Let m be i(4). Let z be (3/6)/(m/(-2)). Let s be -15*(z - (-4569)/(-9)). What is s rounded to the nearest 1000?
8000
Let j = 77 - 45. Let l = j + -6. Let q = l - 26.000021. Round q to 5 decimal places.
-0.00002
Suppose -3*l + 355 - 109 = 0. Suppose -564 = -z + 5*z. Let b = l + z. Round b to the nearest ten.
-60
Let i = 1081 - 1851. What is i rounded to the nearest one hundred?
-800
Let b = 3.441 + 0.059. What is b rounded to 0 decimal places?
4
Let b = -1.1 + -17.9. Let u = -16.9 - b. What is u rounded to the nearest integer?
2
Let t = 31.4 + -31.399583. What is t rounded to 5 dps?
0.00042
Let r = 2.76 - -5.604. Let w = -0.064 + r. Round w to zero dps.
8
Let y(c) = 910*c**3 - c**2 - c - 1. Let q be y(-1). Let p = -501 - q. What is p rounded to the nearest one hundred?
400
Let q = 32 + -59. Let t be 6/q + (-311638)/(-18). Suppose 2*i - 3287 - t = 0. What is i rounded to the nearest 1000?
10000
Let i = 437384 - 47384. Round i to the nearest 100000.
400000
Let f = -0.6 + 0.6000019. Round f to 6 dps.
0.000002
Let p(k) = 14265*k**3 + 9*k**2 + 11*k - 13. Let l be p(9). Round l to the nearest one million.
10000000
Let g = -153.71301407 + 30.71301338. Let v = 261 - 138. Let r = g + v. What is r rounded to 7 decimal places?
-0.0000007
Let d = 38.9999928 - 39. Round d to six decimal places.
-0.000007
Let z = -20913.876 - -20986. Let a = z - 72. What is a rounded to two decimal places?
0.12
Suppose 2*b - 4*x - 12 = 0, -b + 0*b + 5*x + 12 = 0. Let v be (-71980)/90 + b/(-9). Round v to the nearest 1000.
-1000
Let v = 61 - 59.52. Round v to 1 decimal place.
1.5
Let c = -42 + 14. Let t = 28.0000022 + c. Round t to six dps.
0.000002
Let d = 118757 - 118749.30924. Let g = -10.6908 + d. Let p = 3 + g. What is p rounded to four dps?
0
Let r = 282 - 63. Suppose -4*c = 185 + r. Let l = -58 - c. What is l rounded to the nearest ten?
40
Let l = -1103 - -543. Let d be 225/(-1 - 554/l). Round d to the nearest 10000.
-20000
Let s = -0.68 - -0.679951. Round s to five decimal places.
-0.00005
Let r = 11.00000061 + -11. What is r rounded to 7 decimal places?
0.0000006
Let l = 34 + -6. Let y = l - 27.99917. What is y rounded to four decimal places?
0.0008
Let n(b) = -68000*b. Suppose 2*j - r + 7 = j, 5*j = 4*r - 30. Let y = j + -3. Let c be n(y). Round c to the nearest one hundred thousand.
300000
Let s be 32/(-24)*6/(-4). Suppose -s*k + 4*k = 1560000. Round k to the nearest 100000.
800000
Let r = 0.71 + -9.31. Let u = 458 + -448.83. Let x = r + u. Round x to 1 dp.
0.6
Let s = 8183 + 211957. Let z = s - 70128. Suppose n + z = -2*n + 3*h, -5*h + 100020 = -2*n. Round n to the nearest 10000.
-50000
Let j = 10.9 + -1.9. Let x = j + -9.000065. What is x rounded to five dps?
-0.00007
Let c = -51.71832749 + -1.28169951. Let k = 11.2 + -64.2. Let l = c - k. Round l to 5 dps.
-0.00003
Let d = -8368 - -8360.998. Let b = -7 - d. Round b to three dps.
0.002
Let b = 4148.088 - 4130. Let o = b - 18. Round o to two dps.
0.09
Let k = 25 - 17. Let p(t) = 4*t + 8 + 0*t + 103125*t**2 - 5*t. Let q be p(k). What is q rounded to the nearest one million?
7000000
Let f = -26 - -26.0000044. What is f rounded to 6 decimal places?
0.000004
Let q = -0.04859367 + 0.0486. What is q rounded to 6 dps?
0.000006
Suppose 2 = -3*m + 3*a - a, 5*a = -4*m - 18. Let z be (-6)/(-3) - (m + -9799996). Round z to the nearest one million.
10000000
Suppose -3*i - 331 = 3*l - 5*i, 2*l + 3*i + 225 = 0. Let n = l + -109. Round n to the nearest 100.
-200
Suppose 4*t + 34152561 - 552561 = 0. Round t to the nearest one million.
-8000000
Let w = 0.043 - -0.497. Let g = w + -0.607. Round g to 2 dps.
-0.07
Suppose -4*j - 125400000 = -10*j. What is j rounded to the nearest 1000000?
21000000
Let b = 2.69935 - 2.7. What is b rounded to 4 dps?
-0.0007
Let c be 18/4*2/3. Suppose -69985 = -5*n + 2*g + 3*g, c*g - 28009 = -2*n. What is n rounded to the nearest ten thousand?
10000
Let t = 3241739 + 2158261. What is t rounded to the nearest 1000000?
5000000
Let i = -4.3 + 6.2. Let r = 0.1 + i. Let x = 1.99955 - r. Round x to 4 decimal places.
-0.0005
Let q = -1.80004 - -1.8. What is q rounded to 5 dps?
-0.00004
Suppose 16*q - 69200000 = 12*q. What is q rounded to the nearest one million?
17000000
Let c be (2/4)/(3/8034). Round c to the nearest one hundred.
1300
Let b = 2.4 + -3. Let s = 0.64646 - 0.0471. Let x = b + s. What is x rounded to 4 dps?
-0.0006
Let j(d) = d**2 + 3*d. Let w be j(-3). Let i be 0*(1 + w)*1. Round i to the nearest ten.
0
Let i = 0.18500565 + -0.185. Round i to six decimal places.
0.000006
Let g(f) = 225*f**2 - 3*f + 1. Let r be (9/(-12))/(2/(-8)). Let b be g(r). Suppose b + 183 = z. Round z to the nearest one thousand.
2000
Suppose 8*q + 1540000 = 15*q. What is q rounded to the nearest 100000?
200000
Suppose 0*t - 4 = 2*t. Let u = 1 - t. Let z be 280*1250*3/u. What is z rounded to the nearest 100000?
400000
Let t = 5979144.00062 - 5979082. Let c = 15.2 + 46.8. Let u = t - c. Round u to 4 decimal places.
0.0006
Suppose 0 = -n + 3. Let b be (-750)/((-244)/80 + n). What is b rounded to the nearest 10000?
20000
Let u = 2152 + -1185. Suppose 2*v - 47 + u = 0. Round v to the nearest 100.
-500
Let l = -0.5 + 0.3. Let a = l - -1.55. Let p = a - 2. What is p rounded to 1 decimal place?
-0.7
Let d(m) = 220*m**3 + 2*m**2 + 11*m + 4. Suppose -2*c = s + 24, -3*c - 28 - 8 = 5*s. Let b be d(c). What is b rounded to the nearest 100000?
-400000
Let m = 1305 - 1305.0001182. Round m to 5 dps.
-0.00012
Let w be 1/((-3 + 0)/(-150)). Suppose -5*g - 10 - w = 0. Let d = 15 - g. Round d to the nearest ten.
30
Let c = 2.2 + -2.2115. Round c to 3 dps.
-0.012
Let f = -162.385 + 0.385. Let u = f - -161.862. Let p = u - -0.12. What is p rounded to 2 decimal places?
-0.02
Suppose 17 = 4*h + 5. Let g be 56700002/h - (-3)/9. Suppose -2*a - 5 = -7*a, 3*z = a - g. Round z to the nearest one million.
-6000000
Let u be (-47)/4 + 2/(-8). Let y be (179097/(-2))/(u/32). Let p = 761204 + y. Round p to the nearest one million.
1000000
Let v be 2/2 + (-4)/(-4). Suppose r - 5*z = 3*r + 1, 2*z + v = 0. Suppose 0*o = r*o. Round o to 4 decimal places.
0
Let r = 35 - 18. Let n = r + -12. Let s = -4.999989 + n. What is s rounded to five dps?
0.00001
Let x = -10182 + 24784. Let m = -2 + 5. Suppose z - x = 2*w, m*w - 4*z + 21906 = -z. What is w rounded to the nearest 1000?
-7000
Let x = 1740780 + -1076145. Let c = 996960 - x. Suppose -147675 - c = 3*j. Round j to the nearest one hundred thousand.
-200000
Let v = 9 - 1. Suppose 2*s = -0*s - v, 3*q - 16 = 4*s. What is q rounded to the nearest 1000?
0
Let i be (-2)/(-3) - (-14)/(-3). Let p = i + 4. Round p to one dp.
0
Let f(y) = 45185*y**3 + y**2 - y - 1. Let b(j) = j**3 - 5*j**2 + j - 2. Let a be b(5). Let h be f(a). What is h rounded to the nearest 100000?
1200000
Let v = 162 - -69. Suppose 3*i - 3 = -v. Round i to the nearest 10.
-80
Let z = 4.4 + 30.6. Let c = z - 34.22. What is c rounded to 1 decimal place?
0.8
Let k be 5*(2 - 21/15). Suppose -2*w - k = 3*u + 2, -1 = -2*u + 3*w. Let d be (-26)/(2 - | {
"pile_set_name": "DM Mathematics"
} |
62176970
What is one sixth of a minute in seconds?
10
What is 421.8828 kilometers in micrometers?
421882800000
What is 13/8 of a tonne in kilograms?
1625
Convert 695.2637kg to milligrams.
695263700
How many millilitres are there in 29/5 of a litre?
5800
What is 0.6162761 millennia in centuries?
6.162761
How many millilitres are there in thirteen quarters of a litre?
3250
How many millilitres are there in seven halves of a litre?
3500
Convert 99988.89 decades to millennia.
999.8889
How many months are there in 48/5 of a decade?
1152
How many weeks are there in 5655905.5 days?
807986.5
What is 21/5 of a micrometer in nanometers?
4200
What is 377.9315 millennia in years?
377931.5
Convert 20.081031 months to years.
1.67341925
Convert 1.857513l to millilitres.
1857.513
What is 752066.7us in seconds?
0.7520667
What is 61378.3 weeks in hours?
10311554.4
How many micrometers are there in seventeen halves of a centimeter?
85000
Convert 504.9701 millimeters to centimeters.
50.49701
How many milliseconds are there in 0.770162 days?
66541996.8
How many years are there in 211901.3 centuries?
21190130
What is thirty-four fifths of a litre in millilitres?
6800
What is 13/5 of a meter in millimeters?
2600
Convert 2862.275 litres to millilitres.
2862275
What is 3/50 of a millennium in months?
720
How many micrometers are there in 0.3710565mm?
371.0565
What is 6/5 of a centimeter in micrometers?
12000
Convert 113.4477 minutes to microseconds.
6806862000
What is three tenths of a kilometer in centimeters?
30000
What is 1/9 of a hour in seconds?
400
How many days are there in 186.024843 milliseconds?
0.0000021530653125
How many seconds are there in one fifteenth of a week?
40320
What is 1220.14 years in decades?
122.014
What is 5.697257kg in grams?
5697.257
Convert 325.8 millennia to centuries.
3258
How many minutes are there in 1.938069us?
0.00000003230115
What is fifteen quarters of a litre in millilitres?
3750
What is four thirds of a century in months?
1600
What is 26/5 of a litre in millilitres?
5200
How many months are there in three tenths of a decade?
36
How many millilitres are there in 2.112647 litres?
2112.647
What is one quarter of a litre in millilitres?
250
Convert 690.005mm to micrometers.
690005
What is 9.874429 millilitres in litres?
0.009874429
How many months are there in 3/10 of a century?
360
What is 961.6512cm in micrometers?
9616512
How many millilitres are there in 6/25 of a litre?
240
Convert 998554.1 seconds to milliseconds.
998554100
What is 406922.22us in hours?
0.00011303395
How many millilitres are there in 3/50 of a litre?
60
What is 17/2 of a millennium in decades?
850
What is 13/5 of a litre in millilitres?
2600
Convert 5396.257 tonnes to micrograms.
5396257000000000
What is twelve sevenths of a week in hours?
288
What is 668502.3us in seconds?
0.6685023
What is 7/8 of a litre in millilitres?
875
What is 67.69033 years in decades?
6.769033
How many millimeters are there in 606756.3 centimeters?
6067563
How many years are there in 51/2 of a century?
2550
What is 14231.532 months in centuries?
11.85961
How many nanograms are there in thirty-two fifths of a microgram?
6400
How many centuries are there in 64/5 of a millennium?
128
How many nanoseconds are there in 9617.05s?
9617050000000
How many milliseconds are there in 3.833us?
0.003833
What is 594.3181 kilometers in centimeters?
59431810
How many years are there in 2009.6337 months?
167.469475
Convert 53225.72 hours to microseconds.
191612592000000
What is 88562.51 millennia in centuries?
885625.1
How many micrograms are there in 56.81297 grams?
56812970
How many milliseconds are there in five eighths of a second?
625
How many minutes are there in 5/8 of a week?
6300
How many seconds are there in 1/6 of a hour?
600
How many centimeters are there in 3/8 of a kilometer?
37500
How many years are there in 3/50 of a millennium?
60
Convert 338904.8mm to kilometers.
0.3389048
What is 3/50 of a kilogram in milligrams?
60000
Convert 1522.579mg to nanograms.
1522579000
How many micrometers are there in 1/100 of a centimeter?
100
Convert 0.4745238 micrometers to kilometers.
0.0000000004745238
How many minutes are there in eleven halves of a hour?
330
Convert 71174.07 months to years.
5931.1725
How many micrometers are there in three tenths of a centimeter?
3000
What is 445853.3 millennia in years?
445853300
Convert 638988.5um to centimeters.
63.89885
How many hours are there in three sevenths of a week?
72
What is 6/25 of a meter in millimeters?
240
What is 254.83008 months in years?
21.23584
What is 64/3 of a week in hours?
3584
How many milligrams are there in 656.2034kg?
656203400
What is 13/4 of a milligram in micrograms?
3250
What is 5.773681 weeks in milliseconds?
3491922268.8
How many millilitres are there in 3.142422 litres?
3142.422
What is three fifths of a gram in milligrams?
600
How many hours are there in 5/6 of a week?
140
How many milligrams are there in 8929.328g?
8929328
What is 11/4 of a millisecond in microseconds?
2750
Convert 46.58828 weeks to microseconds.
28176591744000
What is 330.3053l in millilitres?
330305.3
How many months are there in three sixteenths of a century?
225
How many millennia are there in 0.9432254 decades?
0.009432254
How many millilitres are there in 6/25 of a litre?
240
How many litres are there in 0.8775708 millilitres?
0.0008775708
What is 13/5 of a milligram in micrograms?
2600
What is 44/5 of a microsecond in nanoseconds?
8800
How many months are there in 886933.7 millennia?
10643204400
Convert 24.75385l to millilitres.
24753.85
How many microseconds are there in 4539.52 days?
392214528000000
What is 5411.316ng in micrograms?
5.411316
How many minutes are there in 2.3506041us?
0.000000039176735
How many decades are there in 26/5 of a millennium?
520
What is seven halves of a centimeter in micrometers?
35000
How many years are there in 0.1604708 centuries?
16.04708
How many meters are there in 72958.07 nanometers?
0.00007295807
What is 52529.96 grams in kilograms?
52.52996
How many kilograms are there in one quarter of a tonne?
250
How many decades are there in 27/4 of a millennium?
675
How many kilograms are there in seventeen halves of a tonne?
8500
How many microseconds are there in 16.5424 weeks?
10004843520000
Convert 0.710469 nanoseconds to microseconds.
0.000710469
What is seventeen halves of a meter in millimeters?
8500
Convert 0.6200803l to millilitres.
620.0803
How many grams are there in 4096.212ng?
0.000004096212
What is 5235.183ng in milligrams?
0.005235183
Convert 560.2048nm to meters.
0.0000005602048
How many micrometers are there in 519.6468 meters?
519646800
How many millilitres are there in three tenths of a litre?
300
What is one tenth of a decade in months?
12
What is 4.738812 decades in years?
47.38812
What is 0.1653122 seconds in microseconds?
165312.2
How many nanoseconds are there in twenty-one eighths of a microsecond?
2625
What is 11/2 of a litre in millilitres?
5500
What is 7.706512 weeks in hours?
1294.694016
What is twenty-seven fifths of a milligram in micrograms?
5400
How many nanoseconds are there in 27/4 of a microsecond?
6750
How many days are there in 565524.99 minutes?
392.7256875
How many litres are there in 42.11914 millilitres?
0.04211914
How many minutes are there in 1/80 of a day?
18
What is 9.924105 centuries in decades?
99.24105
Convert 0.0216261ms to nanoseconds.
21626.1
How many nanoseconds are there in 3/8 of a microsecond?
375
How many nanoseconds are there in 144837.2 seconds?
144837200000000
What is one tenth of a decade in years?
1
How many millilitres are there in 0.2436549 litres?
243.6549
How many microseconds are there in 863758.4 nanoseconds?
863.7584
How many minutes are there in 45/4 of a hour?
675
How many milligrams are there in 31/2 of a gram?
15500
How many seconds are there in fourty-nine fifths of a hour?
35280
What is 7/4 of a microgram in nanograms?
1750
How many hours are there in 809.73603ms?
0.000224926675
What is twenty-nine halves of a litre in millilitres?
14500
How many grams are there in eighty-eight fifths of a kilogram?
17600
What is 1.745272 millilitres in litres?
0.001745272
What is seventy-five sevenths of a week in days?
75
How many seconds are there in 2/27 of a | {
"pile_set_name": "DM Mathematics"
} |
2 AM?
331
How many minutes are there between 8:50 AM and 8:06 PM?
676
What is 689 minutes after 10:56 PM?
10:25 AM
What is 158 minutes after 5:57 AM?
8:35 AM
How many minutes are there between 9:07 PM and 11:24 PM?
137
How many minutes are there between 11:18 AM and 2:23 PM?
185
How many minutes are there between 3:01 AM and 10:38 AM?
457
How many minutes are there between 7:47 AM and 9:50 AM?
123
How many minutes are there between 4:32 AM and 3:15 PM?
643
What is 71 minutes after 1:00 AM?
2:11 AM
What is 474 minutes after 4:21 PM?
12:15 AM
What is 462 minutes after 1:36 PM?
9:18 PM
What is 385 minutes after 3:37 PM?
10:02 PM
How many minutes are there between 2:58 AM and 5:10 AM?
132
How many minutes are there between 2:58 PM and 3:10 PM?
12
What is 419 minutes after 5:52 PM?
12:51 AM
How many minutes are there between 3:45 AM and 6:25 AM?
160
How many minutes are there between 3:47 AM and 3:32 PM?
705
How many minutes are there between 7:04 AM and 6:22 PM?
678
What is 337 minutes after 2:31 AM?
8:08 AM
What is 419 minutes after 10:53 AM?
5:52 PM
What is 385 minutes before 6:25 PM?
12:00 PM
What is 115 minutes before 6:33 PM?
4:38 PM
What is 321 minutes after 11:15 PM?
4:36 AM
What is 715 minutes before 7:22 PM?
7:27 AM
How many minutes are there between 10:19 PM and 11:48 PM?
89
What is 176 minutes before 11:49 PM?
8:53 PM
How many minutes are there between 11:23 AM and 11:18 PM?
715
What is 372 minutes after 7:24 PM?
1:36 AM
What is 90 minutes before 3:41 PM?
2:11 PM
How many minutes are there between 12:17 AM and 4:54 AM?
277
How many minutes are there between 5:49 PM and 2:05 AM?
496
How many minutes are there between 10:24 PM and 5:14 AM?
410
How many minutes are there between 5:19 AM and 9:16 AM?
237
How many minutes are there between 10:19 PM and 7:51 AM?
572
How many minutes are there between 9:57 PM and 10:41 PM?
44
How many minutes are there between 2:32 PM and 8:25 PM?
353
What is 624 minutes before 8:31 AM?
10:07 PM
What is 295 minutes after 7:22 AM?
12:17 PM
What is 492 minutes after 4:56 PM?
1:08 AM
What is 462 minutes after 9:55 AM?
5:37 PM
What is 88 minutes before 12:43 PM?
11:15 AM
What is 586 minutes before 4:56 PM?
7:10 AM
How many minutes are there between 6:51 AM and 12:08 PM?
317
What is 154 minutes before 5:18 AM?
2:44 AM
How many minutes are there between 6:46 PM and 9:32 PM?
166
How many minutes are there between 5:33 AM and 5:18 PM?
705
How many minutes are there between 1:52 AM and 11:04 AM?
552
What is 27 minutes before 9:25 PM?
8:58 PM
What is 607 minutes after 10:54 PM?
9:01 AM
How many minutes are there between 6:00 AM and 11:02 AM?
302
What is 260 minutes after 3:22 AM?
7:42 AM
What is 240 minutes before 4:13 AM?
12:13 AM
What is 97 minutes before 4:28 PM?
2:51 PM
How many minutes are there between 9:37 PM and 9:49 PM?
12
What is 50 minutes after 8:29 PM?
9:19 PM
How many minutes are there between 5:49 AM and 6:38 AM?
49
How many minutes are there between 4:39 AM and 8:53 AM?
254
How many minutes are there between 10:51 AM and 4:23 PM?
332
What is 704 minutes after 5:51 PM?
5:35 AM
How many minutes are there between 6:41 AM and 2:00 PM?
439
How many minutes are there between 1:25 PM and 5:51 PM?
266
How many minutes are there between 12:07 PM and 3:13 PM?
186
How many minutes are there between 11:49 AM and 9:27 PM?
578
What is 559 minutes after 10:59 AM?
8:18 PM
What is 463 minutes before 1:48 AM?
6:05 PM
What is 141 minutes after 2:37 PM?
4:58 PM
What is 414 minutes before 12:15 PM?
5:21 AM
What is 625 minutes before 2:35 PM?
4:10 AM
How many minutes are there between 8:32 AM and 2:44 PM?
372
What is 492 minutes after 6:15 PM?
2:27 AM
How many minutes are there between 4:06 AM and 4:16 AM?
10
What is 400 minutes before 7:01 PM?
12:21 PM
How many minutes are there between 1:17 AM and 11:00 AM?
583
What is 703 minutes before 12:48 PM?
1:05 AM
How many minutes are there between 9:09 AM and 1:24 PM?
255
How many minutes are there between 1:58 AM and 9:24 AM?
446
What is 539 minutes after 7:54 AM?
4:53 PM
What is 145 minutes before 7:33 PM?
5:08 PM
What is 714 minutes after 5:00 PM?
4:54 AM
How many minutes are there between 5:35 PM and 9:35 PM?
240
How many minutes are there between 5:04 PM and 4:59 AM?
715
What is 374 minutes before 12:01 PM?
5:47 AM
How many minutes are there between 8:53 PM and 4:02 AM?
429
What is 662 minutes before 2:40 PM?
3:38 AM
How many minutes are there between 9:19 PM and 8:37 AM?
678
How many minutes are there between 1:13 AM and 3:25 AM?
132
What is 386 minutes before 11:18 PM?
4:52 PM
How many minutes are there between 12:21 PM and 11:41 PM?
680
What is 490 minutes after 3:15 PM?
11:25 PM
How many minutes are there between 9:32 AM and 8:47 PM?
675
How many minutes are there between 10:01 PM and 7:20 AM?
559
How many minutes are there between 1:49 AM and 2:49 AM?
60
What is 331 minutes after 4:34 AM?
10:05 AM
What is 557 minutes before 2:12 AM?
4:55 PM
How many minutes are there between 5:13 AM and 7:37 AM?
144
How many minutes are there between 8:27 AM and 3:25 PM?
418
What is 277 minutes before 5:44 PM?
1:07 PM
How many minutes are there between 1:09 AM and 9:14 AM?
485
What is 126 minutes before 8:37 PM?
6:31 PM
What is 719 minutes before 12:41 PM?
12:42 AM
What is 439 minutes before 6:26 AM?
11:07 PM
How many minutes are there between 2:28 PM and 4:35 PM?
127
What is 586 minutes before 12:22 AM?
2:36 PM
How many minutes are there between 12:11 PM and 1:02 PM?
51
What is 704 minutes before 11:07 PM?
11:23 AM
What is 44 minutes before 5:40 PM?
4:56 PM
How many minutes are there between 8:04 PM and 12:10 AM?
246
What is 141 minutes before 11:49 PM?
9:28 PM
What is 238 minutes after 2:55 PM?
6:53 PM
What is 719 minutes after 2:40 PM?
2:39 AM
How many minutes are there between 4:20 PM and 6:42 PM?
142
What is 353 minutes after 12:01 AM?
5:54 AM
What is 135 minutes before 7:50 AM?
5:35 AM
How many minutes are there between 10:15 AM and 8:12 PM?
597
What is 639 minutes before 1:35 PM?
2:56 AM
What is 663 minutes before 12:10 PM?
1:07 AM
How many minutes are there between 6:36 PM and 10:13 PM?
217
How many minutes are there between 1:54 PM and 12:01 AM?
607
What is 355 minutes before 5:51 PM?
11:56 AM
What is 97 minutes before 12:27 AM?
10:50 PM
What is 142 minutes before 7:57 PM?
5:35 PM
What is 524 minutes before 4:45 AM?
8:01 PM
What is 289 minutes before 8:15 AM?
3:26 AM
How many minutes are there between 10:32 AM and 5:03 PM?
391
What is 223 minutes before 2:04 PM?
10:21 AM
How many minutes are there between 9:20 PM and 8:35 AM?
675
What is 386 minutes before 3:35 PM?
9:09 AM
How many minutes are there between 9:45 PM and 8:37 AM?
652
How many minutes are there between 2:01 PM and 12:17 AM?
616
How many minutes are there between 3:15 AM and 10:57 AM?
462
What is 535 minutes before 5:56 PM?
9:01 AM
What is 360 minutes before 12:46 PM?
6:46 AM
How many minutes are there between 1:12 AM and 12:44 PM?
692
How many minutes are there between 4:05 PM and 6:12 PM?
127
What is 137 minutes after 11:23 PM?
1:40 AM
What is 300 minutes before 6:57 AM?
1:57 AM
What is 423 minutes after 11:50 PM?
6:53 AM
How many minutes are there between 10:07 PM and 6:30 AM?
503
What is 423 minutes after 11:27 PM?
6:30 AM
What is 472 minutes after 3:16 AM?
11:08 AM
What is 250 minutes after 5:27 PM?
9:37 PM
How many minutes are there between 5:19 PM and 9:56 PM?
277
How many minutes are there between 8:55 AM and 12:12 PM?
197
How many minutes are there between 6:33 PM and 6:52 PM?
19
How many minutes are there between 2:21 AM and 9:47 AM?
446
What is 592 minutes after 8:05 AM?
5:57 PM
What is 578 minutes after 5:29 PM?
3:07 AM
How many minutes are there between 12:28 PM and 3:15 PM?
167
How many minutes are there between 9:09 PM and 5:21 AM?
492
What is 52 minutes after 5:01 PM?
5:53 PM
How many minutes are there between 10:13 AM and 6:13 PM?
480
How many minutes are there between 11:26 AM and 11:28 AM?
2
What is 710 minutes before 7:48 AM?
7:58 PM
How many minutes are there between 12:20 PM and 3:35 PM?
195
What is 524 minutes before 6:05 AM?
9:21 PM
What is 388 minutes after 11:07 PM?
5:35 AM
What is 96 minutes after 4:13 PM?
5:49 PM
What is 693 minutes after 11:33 PM?
11:06 AM
How many minutes are there | {
"pile_set_name": "DM Mathematics"
} |
the nearest integer?
3
What is the seventh root of 868 to the nearest integer?
3
What is 628 to the power of 1/3, to the nearest integer?
9
What is the cube root of 404 to the nearest integer?
7
What is 1294 to the power of 1/5, to the nearest integer?
4
What is 1425 to the power of 1/2, to the nearest integer?
38
What is 6363 to the power of 1/10, to the nearest integer?
2
What is the third root of 17540 to the nearest integer?
26
What is 15455 to the power of 1/2, to the nearest integer?
124
What is the eighth root of 94196 to the nearest integer?
4
What is the square root of 267 to the nearest integer?
16
What is the tenth root of 850 to the nearest integer?
2
What is the third root of 5572 to the nearest integer?
18
What is 625 to the power of 1/3, to the nearest integer?
9
What is the square root of 1418 to the nearest integer?
38
What is 91 to the power of 1/3, to the nearest integer?
4
What is 957 to the power of 1/7, to the nearest integer?
3
What is 2684 to the power of 1/8, to the nearest integer?
3
What is 116058 to the power of 1/9, to the nearest integer?
4
What is the sixth root of 26823 to the nearest integer?
5
What is the square root of 23917 to the nearest integer?
155
What is 5078 to the power of 1/2, to the nearest integer?
71
What is 2045 to the power of 1/2, to the nearest integer?
45
What is the fifth root of 12934 to the nearest integer?
7
What is 97391 to the power of 1/3, to the nearest integer?
46
What is the square root of 2925 to the nearest integer?
54
What is the fifth root of 2536 to the nearest integer?
5
What is the ninth root of 63824 to the nearest integer?
3
What is 140958 to the power of 1/2, to the nearest integer?
375
What is the cube root of 51221 to the nearest integer?
37
What is the square root of 258 to the nearest integer?
16
What is the fifth root of 18297 to the nearest integer?
7
What is the third root of 44716 to the nearest integer?
35
What is the third root of 1247 to the nearest integer?
11
What is 1857 to the power of 1/9, to the nearest integer?
2
What is the cube root of 31341 to the nearest integer?
32
What is 62295 to the power of 1/2, to the nearest integer?
250
What is the third root of 7508 to the nearest integer?
20
What is the fifth root of 85285 to the nearest integer?
10
What is 43097 to the power of 1/2, to the nearest integer?
208
What is the cube root of 6088 to the nearest integer?
18
What is 1479 to the power of 1/5, to the nearest integer?
4
What is 129098 to the power of 1/4, to the nearest integer?
19
What is the square root of 47547 to the nearest integer?
218
What is the square root of 59983 to the nearest integer?
245
What is 147 to the power of 1/3, to the nearest integer?
5
What is the cube root of 5264 to the nearest integer?
17
What is 3776 to the power of 1/9, to the nearest integer?
2
What is 4989 to the power of 1/8, to the nearest integer?
3
What is the square root of 2996 to the nearest integer?
55
What is 4054 to the power of 1/9, to the nearest integer?
3
What is 11856 to the power of 1/2, to the nearest integer?
109
What is the square root of 7825 to the nearest integer?
88
What is 508 to the power of 1/2, to the nearest integer?
23
What is 2944 to the power of 1/9, to the nearest integer?
2
What is 1323 to the power of 1/6, to the nearest integer?
3
What is the square root of 3674 to the nearest integer?
61
What is the cube root of 10256 to the nearest integer?
22
What is the square root of 120922 to the nearest integer?
348
What is the ninth root of 6280 to the nearest integer?
3
What is the cube root of 1457 to the nearest integer?
11
What is the fourth root of 1092 to the nearest integer?
6
What is the cube root of 27398 to the nearest integer?
30
What is the cube root of 3381 to the nearest integer?
15
What is 69939 to the power of 1/3, to the nearest integer?
41
What is the ninth root of 2543 to the nearest integer?
2
What is 7031 to the power of 1/3, to the nearest integer?
19
What is the cube root of 1499 to the nearest integer?
11
What is the ninth root of 115343 to the nearest integer?
4
What is 2173 to the power of 1/7, to the nearest integer?
3
What is the sixth root of 5726 to the nearest integer?
4
What is the square root of 2453 to the nearest integer?
50
What is 9541 to the power of 1/9, to the nearest integer?
3
What is the square root of 657 to the nearest integer?
26
What is 10828 to the power of 1/3, to the nearest integer?
22
What is 702 to the power of 1/9, to the nearest integer?
2
What is 1952 to the power of 1/2, to the nearest integer?
44
What is 1317 to the power of 1/6, to the nearest integer?
3
What is the fifth root of 3016 to the nearest integer?
5
What is 7696 to the power of 1/2, to the nearest integer?
88
What is 54934 to the power of 1/6, to the nearest integer?
6
What is 5728 to the power of 1/2, to the nearest integer?
76
What is the third root of 2195 to the nearest integer?
13
What is the square root of 686 to the nearest integer?
26
What is 314 to the power of 1/7, to the nearest integer?
2
What is 4757 to the power of 1/3, to the nearest integer?
17
What is the seventh root of 101078 to the nearest integer?
5
What is the square root of 79647 to the nearest integer?
282
What is the ninth root of 1010 to the nearest integer?
2
What is the square root of 6448 to the nearest integer?
80
What is 854 to the power of 1/3, to the nearest integer?
9
What is 1137 to the power of 1/2, to the nearest integer?
34
What is the square root of 68310 to the nearest integer?
261
What is 13932 to the power of 1/4, to the nearest integer?
11
What is the square root of 64425 to the nearest integer?
254
What is the cube root of 42375 to the nearest integer?
35
What is 4686 to the power of 1/2, to the nearest integer?
68
What is the third root of 3161 to the nearest integer?
15
What is 1137 to the power of 1/4, to the nearest integer?
6
What is 2897 to the power of 1/5, to the nearest integer?
5
What is the eighth root of 76451 to the nearest integer?
4
What is 1689 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 7572 to the nearest integer?
9
What is the cube root of 7270 to the nearest integer?
19
What is the cube root of 1012 to the nearest integer?
10
What is the cube root of 1102 to the nearest integer?
10
What is 2874 to the power of 1/9, to the nearest integer?
2
What is the third root of 32156 to the nearest integer?
32
What is the cube root of 3196 to the nearest integer?
15
What is the ninth root of 11041 to the nearest integer?
3
What is 17771 to the power of 1/2, to the nearest integer?
133
What is the cube root of 24638 to the nearest integer?
29
What is the cube root of 2377 to the nearest integer?
13
What is the square root of 4494 to the nearest integer?
67
What is the cube root of 514 to the nearest integer?
8
What is 81210 to the power of 1/3, to the nearest integer?
43
What is 47800 to the power of 1/2, to the nearest integer?
219
What is 6477 to the power of 1/5, to the nearest integer?
6
What is 2077 to the power of 1/2, to the nearest integer?
46
What is the tenth root of 4242 to the nearest integer?
2
What is the cube root of 1237 to the nearest integer?
11
What is 3195 to the power of 1/8, to the nearest integer?
3
What is the cube root of 81696 to the nearest integer?
43
What is the cube root of 14843 to the nearest integer?
25
What is the square root of 2795 to the nearest integer?
53
What is the eighth root of 26560 to the nearest integer?
4
What is 4856 to the power of 1/9, to the nearest integer?
3
What is the square root of 4635 to the nearest integer?
68
What is the cube root of 819 to the nearest integer?
9
What is the fourth root of 430 to the nearest integer?
5
What is the seventh root of 69305 to the nearest integer?
5
What is the cube root of 3424 to the nearest integer?
15
What is 933 to the power of 1/6, to the nearest integer?
3
What is the square root of 2126 to the nearest integer?
46
What is the square root of 693 to the nearest integer?
26
What is the cube root of 156939 to the nearest integer?
54
What is the eighth root of 1826 to the nearest integer?
3
What is 14133 to the power of 1/9, to the nearest integer?
3
What is the square root of 4759 to the nearest integer | {
"pile_set_name": "DM Mathematics"
} |
- g. What is the third biggest value in 2, 0.3, x?
x
Let m = -0.615 + -636.385. Let v = -636.9 - m. Which is the second smallest value? (a) 5 (b) -0.103 (c) 4 (d) v
d
Suppose 0 = 4*i - 2*v + 1 - 13, 5*i = 4*v + 24. Let s be (-46)/10 - (-10 - -6). Which is the biggest value? (a) s (b) i (c) 2/9
c
Let u = 33536 + -33352. Which is the second smallest value? (a) u (b) 3 (c) 2/5
b
Let j be -8 + (72/10)/(1218/1365). Which is the second biggest value? (a) -3.7 (b) -4 (c) 0.2 (d) j
d
Let w = -53 - -62. Let r = w - 6. Let l = 106.4 + -106. Which is the second smallest value? (a) -0.4 (b) l (c) r (d) 0.24
d
Suppose 0 = -2*l + 4, -l = -3*c - 142 - 265. Let p be 4/(-6)*(-4)/((-72)/c). Let u = -2.04 + 0.04. What is the fourth smallest value in u, 2, -1/2, p?
p
Let y = 2469/10712 - -3/10712. Let g = -0.06 - 0.24. What is the smallest value in g, 5, y?
g
Let l = -1.97 - 0.03. Let v = 17866 - 17861. What is the third biggest value in 2/7, v, -3/7, l?
-3/7
Let b be (840/600)/(14/10 - 1). What is the fourth biggest value in -3, -4, 5, b?
-4
Let j = -75 - -18. Let n = 60 + j. Let t be (-6)/33 - (204/88 + -4). Which is the second smallest value? (a) 11 (b) -2/13 (c) t (d) n
c
Let k = 13694 - 13694. Which is the second biggest value? (a) -0.4 (b) -0.5 (c) 3/7 (d) -8 (e) k
e
Let s = -167 + 37. Let g = -126 - s. Which is the smallest value? (a) 115 (b) 0.4 (c) g
b
Let v be -9*(236/(-59) + (-26)/(-6)). Which is the third smallest value? (a) 0.121 (b) v (c) -19
a
Let i = 112713 - 112712.6. Let p be 3/(7/(-2) - -2). Let r be (-54)/55 + 4/22. What is the fourth biggest value in r, 0, p, i?
p
Let k be 18/(-315)*(-10)/8. Let f be 12/(-90)*6*290. Let g = f + 1620/7. Which is the second biggest value? (a) -2/3 (b) -3 (c) k (d) g
d
Let v = -2.05 + 0.05. Let s = 109.08 + -100. Let h = s + -0.08. What is the second biggest value in v, h, -0.3?
-0.3
Let g = 0.2 + -0.6. Suppose 217 = o - 5*s, -o = o + s - 456. Let t = o + -907/4. Which is the fourth biggest value? (a) -1 (b) t (c) g (d) 0
a
Suppose 6*w = 5*w - 5*n - 9, 4*w + n - 21 = 0. Let d be 8/(8/w*(-12)/8). Which is the second biggest value? (a) d (b) 2/55 (c) 0.2
b
Let t = -0.921 + 0.871. Let m = 1.36 - -32.84. Let j = m - 34. Which is the third smallest value? (a) -5 (b) t (c) 5 (d) j
d
Let x = 0.3 - 0.8. Let o = 3 - -2. Let k = 249684 + -3245890/13. Which is the third biggest value? (a) k (b) x (c) o
b
Let x = 10798 - 10801. Which is the fourth smallest value? (a) x (b) 1/7 (c) -644 (d) 3
d
Let w(u) = -u**3 + 2*u**2 + 17*u - 127. Let f be w(0). Which is the smallest value? (a) -1 (b) f (c) 0.4
b
Let p = 1/27 - -79/54. Let m be 2650/(-1272) + (-8)/(-6). Which is the third biggest value? (a) 5 (b) m (c) p (d) 15
c
Let h = 393/2101 + -1/191. Let o(t) = t**3 + 18*t**2 + 48*t + 48. Let w be o(-15). What is the fourth smallest value in w, h, -1/3, -5?
w
Let n = -1.343 + 1.38. Let p = n - 0.087. Which is the third smallest value? (a) -1 (b) -0.5 (c) 1/2 (d) p
d
Let t be 1/45*678 - (-2 - -14). What is the biggest value in -1/7, -5, -4, -0.3, t?
t
Let o = 1523 - 1524. Let h = -17.04 - -17. Let i = 2.04 + h. Which is the third smallest value? (a) o (b) -3 (c) i
c
Let u = 46 + -50. Let n be (-1)/(-3) + (75/(-9) - -8). Let y = 5/17 - 99/221. Which is the smallest value? (a) y (b) u (c) 2/9 (d) n
b
Let w = 361 + -356. Let l = 1391/6426 - 1/459. Which is the second smallest value? (a) l (b) -2 (c) 2 (d) w
a
Let h be 2/9 + 14 + 32798/(-2277). Which is the smallest value? (a) 6/11 (b) -0.5 (c) h
b
Let x = -0.486 - -0.206. Let k = x - -0.18. Which is the biggest value? (a) 12 (b) k (c) -0.2 (d) 0.08
a
Let u = 27 + -14. Let x(t) = 61*t**3 + t**2 - 2*t. Let k be x(1). Let b be 7 - 234/k*2. What is the third biggest value in b, u, -1, 4?
b
Let c = -915 + 858. Let i = 4 - 23. Let k be c/i + (-13)/3. What is the fourth smallest value in k, -0.06, -0.2, 3/5?
3/5
Let o = 148.2 + -149.2. What is the smallest value in -5/6, -2/3, 15, o, 0.4?
o
Let s = 2569 + -38533/15. What is the second biggest value in 4, -26, s, 0?
s
Let h be (-2)/(-19)*(0/5 + 1). Let g = 91.9 - 92. What is the smallest value in g, 0.07, -1/2, h?
-1/2
Let v = -0.075 - 0.125. Let w = 3.6 - 4. What is the third biggest value in w, -7, v?
-7
Let l = -12284/7 + 1751. What is the fourth biggest value in 0.4, 2, 0.5, 3, l?
0.4
Let y be (2/12)/((-3)/6)*-27. Suppose 7 = y*k - 2. Which is the fourth smallest value? (a) 0.4 (b) 2/15 (c) 314 (d) k
c
Let s = -1357 + 23071/17. Let v = -299/7 + 43. Let i = 1.2 - 0.2. Which is the smallest value? (a) 1/4 (b) v (c) i (d) s
d
Let b = -12.9 + 13.128. Let t = 5.672 + b. What is the second smallest value in -3, 3, t?
3
Let c = 14.209 + -4.223. Let x = -0.014 - c. What is the second biggest value in 1/3, 3/4, x?
1/3
Let w = -131.877 + 132. Let i = w + -0.103. Which is the fourth smallest value? (a) i (b) -1/3 (c) 3 (d) -0.3
c
Let l be (2/51)/((-1)/3). Let k = 5609.6 + -5603.6. Which is the third smallest value? (a) l (b) k (c) 5
b
Let u = -0.8 - 1.2. Let k = 134 + -58. Let m = k - 76.3. Which is the second smallest value? (a) m (b) 0 (c) u (d) 1/2
a
Suppose 4*j + 6 = -2, -4*y + 2*j = -4. Which is the fourth smallest value? (a) y (b) -2/7 (c) -268 (d) 2
d
Let s be -24 - (0 - 1)*-1. Let c = 202 - 204. What is the fourth smallest value in s, 0.4, c, -5?
0.4
Let i be ((-4 + 1)/(24/(-16)))/28. Let t be (-5)/18 + 4/(-18). What is the second biggest value in i, -0.4, t, 3?
i
Let o = -6.21 + 6. Let r = o + 5.21. Let u = 5.4 - r. What is the biggest value in u, 8, 1/4?
8
Let l = -2.109 - -0.059. Let z = l + 0.05. Let m = 2007/11 - 10024/55. What is the second smallest value in m, z, -5?
z
Suppose -5*o + 5*h = 7*h - 4, 5*o = 3*h + 44. Which is the third smallest value? (a) -5 (b) o (c) 1 (d) 1079
b
Let o = 333 + -327. Which is the second biggest value? (a) -34 (b) -5 (c) o
b
Let n = 9339 - 9341. Which is the biggest value? (a) n (b) 14 (c) 15/4
b
Let o = 5.775 - 5.475. What is the smallest value in -3, 0.1, 2/17, -3/5, o?
-3
Let d = 7.8 + -8. Let j = 28982 - 28979. Let h = -0.42 + 0.5. What is the third biggest value in d, j, -1, h?
d
Let x = -3 - -2. Let m be 14/(-8) + (-47088)/(-6976). Which is the third smallest value? (a) 0.3 (b) -1/23 (c) m (d) x
a
Let h = 3.301 - 3.521. What is the smallest value in -0.2, 0.56, h?
h
Let g = 3 - 1.1. Let f = -3.4 - g. Let h = f - -4.9. Which is the fourth biggest value? (a) 5 (b) -2 (c) 0.2 (d) h
b
Let v = -2.103 + 2.503. What is the biggest value in v, 2, 0.2, -3, 0?
2
Let k be 5/((-5)/2)*(-11)/(-110)*-25. Which is the second smallest value? (a) -4 (b) k (c) 0.1 (d) 1
c
Let n = 48 - 526/11. Let u = 140923 - 140924. What is the second smallest value in n, 36, u?
n
Let c = 5 - 6. Let z = -2019.6 - -2021.7. What is the third smallest value in 1, z, c?
z
Let j = -20465 + 20707.9. Which is the smallest value? (a) 1/6 (b) -0.5 (c) -3 (d) 1/9 (e) j
c
Let x = -8677/11 - -789. What is the biggest value in -1/4, 4, 3, x, 5?
5
Let t = -1.0811 + 0.9811. Which is the second biggest value? (a) 4 (b) t (c) 3/2 (d) 3/7 (e) 0.1
c
Let s(d) = d**3 - 36*d**2 + 241*d + 17. Let w be s(9). Which is the biggest value? (a) 39/10 (b) -4 (c) w
a
Let a = -354 - -4600/13. Let b = -2 - 1. Let z be 3/18*(-4)/b. What is the second biggest value in -1/4, z, a, -2/9?
a
Let r = 383 - 381.62. Let f = r + 1.62. What is the biggest value in 1/6, f, -8?
f
Let h = 2976.5 - 2976.7. Let t = 1.4 + 0.1. Let o = t - 0.5. Which is the second biggest value? (a) o (b) h (c) 5
a
Let n = 84.1 + -80. Let z = -0.0457 + 3.7457. Let t = z - n. What is the second smallest value in t, 2, -2?
t
Let s = 0.4 - 1.4. Let n be ((-70)/80)/7 - (2 - 26/16). What is the third smallest value in 0.07, s, -2/3, n?
n
Let h = -17146 + 137167/8. Which is the biggest value? (a) 93.6 (b) h (c) -2/9
a
Let k be 3/15*(4 - 161/42)*-6. Which is the fourth smallest value? (a) 3 (b) k (c) -1.54 (d) -3 (e) -3/5
b
Suppose -3*w + 9 = -4*k - 0*w, 5*k + 3*w = 9. Let n = 211 - 226. Let c be (k/(-2) - n/5)*-1. What is the smallest value in -2/9, c, 3/8?
c
Let t = 0.082 + -3.082. Let y = 0.137 + -1.727. Let r = -0.59 - y. Which is the third smallest | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (q**4*q)/(q/(q*q/(q*q**3)*q))*q/(q**(2/21)*q)*(q/q**7)/q assuming q is positive.
q**(-86/21)
Simplify (o**(-1/17))**14*(o/(o/(o/o**(-4/5))))**6 assuming o is positive.
o**(848/85)
Simplify ((k**(-2/21)*k)**(-27))**(10/7) assuming k is positive.
k**(-1710/49)
Simplify (q**(8/3)/(q/q**(4/3)))/((q/q**(-1/7)*q*q)/q*q*q**(4/7)*q) assuming q is positive.
q**(-12/7)
Simplify (((n/(n/(n*(n/n**1)/n)))/n)/n)**(-3)*n**(-16)*n/n**(-1/3)*n assuming n is positive.
n**(-23/3)
Simplify r**(-2/51)*r*r*r**37*r*((r*r/r**26*r*r*r)/r)**(12/17) assuming r is positive.
r**(1246/51)
Simplify v**(2/13)/v*v**(-1/3)*v*(v/(v**4/v))/v**(-25) assuming v is positive.
v**(890/39)
Simplify ((a**(4/3)*a)/(a**(-11)/a))/(a/(a/((a/(a/(a*a**(-2/3)/a)))/a)))**25 assuming a is positive.
a**56
Simplify ((a/((a/(a*((a*a**(-8)*a)/a*a)/a))/a)*a)/a)**35/(a*a*(a**(1/3)/a)/a*a**(-2)) assuming a is positive.
a**(-520/3)
Simplify (((f*f**(1/11)*f)/f**2)/(f**(1/4)/(f*(f*f*f*f*f**(2/5)/f*f)/f)))**(3/5) assuming f is positive.
f**(2799/1100)
Simplify (g**(-4/13)*g)**45*g**(-1/17)/g*g**(-4/5)*g assuming g is positive.
g**(33476/1105)
Simplify ((m/(m/(m/(m*m**(1/4)*m))))/m**(-1/4))/((m/((m/(m*m/(m*m/(m*m**(-11/2))*m*m)))/m))/m**(-7)) assuming m is positive.
m**(-5/2)
Simplify ((w*w/(w**(2/7)/w)*w)/w)**(-4/5)*w**(8/9)*w**10 assuming w is positive.
w**(2746/315)
Simplify (z**(-7)*z**(-2/19)/z*(z/z**(-1/3))**(11/5))**(39/5) assuming z is positive.
z**(-19162/475)
Simplify s*s*s**(-7/5)*s*s*s*(s*s/(s**(-16)*s)*s)/s*((s**(-5)/s)/s*s)**(-22/5) assuming s is positive.
s**47
Simplify (p**(-1/4))**0/(p**7*p**11) assuming p is positive.
p**(-18)
Simplify (((r**(-8)/r)/r**10)/(((r*r**(-1/11))/r)/((r*r*((((r**(-13)/r)/r)/r)/r)/r)/r)))**42 assuming r is positive.
r**(-16590/11)
Simplify (d/(d**0*d))**(-26)*d**(-8)*d/(d/(d**(1/20)*d)*d) assuming d is positive.
d**(-159/20)
Simplify (t**(-3/4)/t**(2/3)*t**(-13/5)*t**7)**(5/8) assuming t is positive.
t**(179/96)
Simplify (((t**(-5)*t)/((t**(-4/3)/t)/t*t))/(t**3*t/(t*(t*t**(-1/4))/t)))**46 assuming t is positive.
t**(-1357/6)
Simplify (g/((g/(g*g*g**(-1/3)))/g))**(6/35)*(g*(g*g/g**(-1/10)*g)/g)/((g/g**(4/13))/g) assuming g is positive.
g**(3517/910)
Simplify (u*u**10)**(-3/44)*u**(-13/2)/(u/(u/u**(-10))) assuming u is positive.
u**(11/4)
Simplify (l**11*l)**(-2)*(l**(-5))**(-4) assuming l is positive.
l**(-4)
Simplify (((w*w/(w/w**(-1))*w*w)**(-26))**(-5))**(-13/6) assuming w is positive.
w**(-1690/3)
Simplify (((u**0)**21)**(-21))**(1/22) assuming u is positive.
1
Simplify ((x*((x/(x/(x*x**0))*x)/x)/x*(x**(-27)*x)/x)**(-28/9))**(1/6) assuming x is positive.
x**(364/27)
Simplify (t**(-3/8)*t*t/t**7*t**7/t*t/t**(-2))**(-22) assuming t is positive.
t**(-319/4)
Simplify (f/f**(2/9))**(2/33)/(f**(-10)/(f*f**(8/3))) assuming f is positive.
f**(4073/297)
Simplify t**(3/7)/(t*t**(-1/19))*t/t**(-2)*t*t**0 assuming t is positive.
t**(463/133)
Simplify ((q/q**(-8/5))/(q**(-7/3)/q))**(-36) assuming q is positive.
q**(-1068/5)
Simplify ((((l**(1/8)/l)/l)/l*l)/l**(2/19)*(l*l**(-1/6))/l*l*l/((l/l**(-2/17))/l))**35 assuming l is positive.
l**(-71785/7752)
Simplify (c/(c/c**(2/19)))/c**11*c**(-15)*c*c*c*c*c**25 assuming c is positive.
c**(59/19)
Simplify (i*i/(i*i**(5/4)/i))**(-46)/(i**(2/27)*i*i)**(2/31) assuming i is positive.
i**(-57977/1674)
Simplify ((o*o/(o*((o/(o/(o/o**(1/7))))/o)/o*o*o*o*o)*o)/o*o*(o*(o*o**(-2/21))/o)/o*(o/o**(-5))/(o/o**(-2/11)))**16 assuming o is positive.
o**(14288/231)
Simplify k**(-2/59)*k**17*k/k**1*k*k*(k*k**(-25)*k)/k assuming k is positive.
k**(-297/59)
Simplify (v**(2/5)*v*v**(20/7)/v)/((v/v**(-26))/(v**(12/11)/v)) assuming v is positive.
v**(-9106/385)
Simplify r**23*r*r/r**(-2/5)*(r/(r/(r*r**(1/8))))/r**(1/4) assuming r is positive.
r**(1051/40)
Simplify ((r**3*r)/r)/(r*r**(-3/5))*(r/(r*(r*(r/r**(-1/3)*r)/r)/r))**39 assuming r is positive.
r**(-247/5)
Simplify (q/q**(1/4))**(12/5)*q**(4/9)/(q*q*q*q**(-10)) assuming q is positive.
q**(416/45)
Simplify ((y**(-7)*y)/(((y**9/y*y)/y)/y))/((y**(-8/7)/y)/(y*y**10)) assuming y is positive.
y**(1/7)
Simplify (t**(-6))**(-1/61)*(t**(-5))**(-1) assuming t is positive.
t**(311/61)
Simplify (f*f*f**7/f*f)**(-20)/((f*f*f**(-11))/f*f**(-15)) assuming f is positive.
f**(-155)
Simplify ((k*k/k**(2/3))/(k*k*k*k**2)*k**(-3)*k*k/(k*((k/k**1)/k)/k*k))**(-24) assuming k is positive.
k**112
Simplify (f**(-6/11)/((((f**(-5)*f)/f)/f)/f))**(5/14) assuming f is positive.
f**(355/154)
Simplify ((((f**(5/6)/f)/f)/f**(-2/15))**(4/25))**(6/11) assuming f is positive.
f**(-124/1375)
Simplify (k*k**(4/13))**11*k**23/(k**(1/2)/k) assuming k is positive.
k**(985/26)
Simplify (n*(n*n**(-10))/n)/n**32*(n**(-2/73)/n)/n*n/n**(6/5) assuming n is positive.
n**(-15778/365)
Simplify ((y/(y*y/((y/y**2)/y)))/(y**(2/29)*y))/((y/(y/(y**11/y*y)))/y**(-5)) assuming y is positive.
y**(-582/29)
Simplify (((a**0*a)**(9/7))**46)**(-5/7) assuming a is positive.
a**(-2070/49)
Simplify ((y*y**(-12))/(y/(y**(-1/7)/y*y*y)))**(2/47) assuming y is positive.
y**(-156/329)
Simplify ((t*t**(-6/11)*t*t**6)/(t**1)**(-11/6))**(2/47) assuming t is positive.
t**(613/1551)
Simplify (d*d**30)/(d/(d/(d/(((d*d**16)/d)/d))))*((d*d**(-14/5)/d*d)/d)/(d**27/d*d) assuming d is positive.
d**(76/5)
Simplify (((v/v**(1/11))/v)/v**(-6)*v/(v/(v*v**(-2/29)))*v*v**(6/7)*v)**(-5/9) assuming v is positive.
v**(-12030/2233)
Simplify (v**(2/5))**(-2/65)*(v*v**(-2/3))/v**7 assuming v is positive.
v**(-6512/975)
Simplify ((b**(-1/2))**(1/93)*b**6/((b*b*b*b**(2/3)*b*b)/b))**(-41) assuming b is positive.
b**(-10127/186)
Simplify (x**(-3)*x)**(-1/15)/((x**(5/6)*x)/(x*x**(-4))) assuming x is positive.
x**(-47/10)
Simplify (h/((h**(-4)*h)/h))/h**(1/19)*h**(-3/16)*h*h*h*(h*h**17)/h assuming h is positive.
h**(7527/304)
Simplify (((j/j**0*j)/(j*j/(j*j**(-1/2)/j*j)))**(-3/25))**(-14) assuming j is positive.
j**(21/25)
Simplify (p**18*p**6)/(p**(1/5)/p**(4/13)) assuming p is positive.
p**(1567/65)
Simplify ((d**(-1)/((d/((d/(d*d**(-3)))/d))/d))/(d/(d/(d/(d/(d/(d*d**(-3/11)*d)*d))))*d**(-1/3)))**(-1) assuming d is positive.
d**(-35/33)
Simplify (b**5/b*b*b**6)/(b**(-6/11)/(b**11*b)) assuming b is positive.
b**(259/11)
Simplify ((h**(-3/2)/h)/h)**(4/5)*h**(1/7)*h**7/h assuming h is positive.
h**(117/35)
Simplify (v/(v**(-8)/v)*v**0)/(v**(1/9)/(v*v/v**(-1/5)*v)) assuming v is positive.
v**(589/45)
Simplify (((q*q**(-4/9))/(q/q**(-1)))**45)**(-1/38) assuming q is positive.
q**(65/38)
Simplify (k*k**(-4/13)*k**(17/5))**(-1) assuming k is positive.
k**(-266/65)
Simplify (d/d**9)**(-27)/(d**(-3/4)*d)**50 assuming d is positive.
d**(407/2)
Simplify (x**24*x*x**(-28)*x*x)/((x**(-2/51)/x)/((x**(-2/39)*x)/x)) assuming x is positive.
x**(-8/663)
Simplify u**(-2/67)*u*u/(u/(u*u/(u*u/(u*u/u**21)*u)))*u**30*u*u/u**(-3/8) assuming u is positive.
u**(7153/536)
Simplify z**(4/17)*(z/z**(-5/11))/z*((z*z*z**(-6)/z*z)/z)**(-26) assuming z is positive.
z**(24439/187)
Simplify (u/(u*u/(u/(u*(u/u**(-7))/u))))/(u*u**(-5/8))*(u**(-1/16))**(30/7) assuming u is positive.
u**(-121/14)
Simplify (s**(-22/3)/s*s*s**(-17))/(s*s**(-4/11)*s/s**(-5/8)) assuming s is positive.
s**(-7021/264)
Simplify z**16/z**(-3)*(z**(-5)/z)**(-1/23) assuming z is positive.
z**(443/23)
Simplify (c**(-2/5)/c**(-3)*c**(-2/3)/(c/(c/(c/(c/(c/(c*c*c**3/c)))))))**(-17/5) assuming c is positive.
c**(-1258/75)
Simplify f*f*f*(f*f/((f*f**(-12))/f))/f*f*f*f*(f*f**(-5))/f*f*f*(f/f**(2/3))**(-1/17) assuming f is positive.
f**(815/51)
Simplify (((z/(z/(z*z**(-3/7)))*z*z)/z*(z**(1/2)*z*z)/z)/(z**(-4)/z**(1/6)))**50 assuming z is positive.
z**(7600/21)
Simplify (w**(-4/5))**(4/31)/(w**8*w*w*w/(w*w**(2/17)/w)) assuming w is positive.
w**(-28947/2635)
Simplify (((a*a*a**7)**(-20))**(-2/141))**(-7/9) assuming a is positive.
a**(-280/141)
Simplify ((p**(-4/9)*p**(2/21)/p)/(p**1/p)**(-22))**21 assuming p is positive.
p**(-85/3)
Simplify (q**3*q/(q**3/q))/(q**11*q**0/q) assuming q is positive.
q**(-8)
Simplify (x*x**(2/3)*x/x**(-1)*((x/x**1)/x)**(-15))**(-5) assuming x is positive.
x**(-280/3)
Simplify (((b/(b/(b/(b/(b**2*b)))))/b*b)**(5/3)/(b**(-1/2)*b/b**(-1/5)))**(-50) assuming b is positive.
b**(-215)
Simplify (((r**(-1/3))**42)**(2/23))**(-38) assuming r is positive.
r**(1064/23)
Simplify (d**(-4/25)/(d**(1/2)/d))**(-1/51) assuming d is posi | {
"pile_set_name": "DM Mathematics"
} |
f(c) = -2*c. Give h(f(w)).
-8*w
Let j(l) = 13*l - 4*l + 7*l + 5*l. Let q(n) = -2*n**2. Calculate q(j(k)).
-882*k**2
Let o(n) = 19*n - 8*n - 13*n. Let w(m) = 4*m**2 - 4*m**2 + m**2. Give w(o(a)).
4*a**2
Let h(s) be the second derivative of -4*s**3/3 - 8*s. Let f(u) = -4*u + 4*u - 2*u. Determine f(h(b)).
16*b
Let v(o) = 4*o + 4 - 3*o - 4. Let c(y) = 2 - 2*y - 2. Determine v(c(f)).
-2*f
Let z(o) = -12*o**2. Let s(t) = -28*t - 10. Determine z(s(l)).
-9408*l**2 - 6720*l - 1200
Let s(x) = 2*x + 6. Let u(k) = -2*k. Give s(u(i)).
-4*i + 6
Let h(r) = -2*r**2. Let k = 4 + 1. Suppose 20 - 50 = k*g. Let i(l) = 3*l - 2. Let v(f) = -16*f + 11. Let z(t) = g*v(t) - 33*i(t). What is h(z(u))?
-18*u**2
Suppose 3*n - 5 = -4*p + 3, 6 = 3*p. Let r = 0 - n. Let m(l) = r*l - l - l. Let j(w) = 5*w**2. Give m(j(o)).
-10*o**2
Suppose k + 0*k = 0. Suppose k = -4*h + 2*h. Let f(u) = 5*u - 3*u + h*u. Let q(j) = -2*j. Give f(q(y)).
-4*y
Let q(f) = 11*f**2. Let v(j) = -122*j. Give q(v(d)).
163724*d**2
Let x(u) = 46*u**2. Let f(w) be the second derivative of w**4/6 + 20*w. Determine f(x(v)).
4232*v**4
Let b(q) = -2*q**2. Let k(s) = s - 6. Let v be k(8). Let w be v - (-3 + 1) - 2. Let u(d) = -4*d**2 + 4*d**2 - d**w. Calculate u(b(a)).
-4*a**4
Let h(z) = 4*z**2 - 7*z - 7. Let i(a) = a**2 - 2*a - 2. Let j(k) = -4*h(k) + 14*i(k). Let m(x) = 0*x - 3*x - x. What is m(j(v))?
8*v**2
Let s(c) = c. Let g(k) be the first derivative of 9*k**2 - 5*k**2 + 6 + 4*k**2 + 0*k**2. What is s(g(j))?
16*j
Let b(v) = 4*v**2 - 7*v. Let c(f) = f**2 - 2*f. Let z(m) = 4*b(m) - 14*c(m). Let x(i) = -24*i. Let n(w) = 5*w. Let j(k) = -14*n(k) - 3*x(k). Calculate z(j(r)).
8*r**2
Let w(f) = -22914*f**2. Let x(h) = -h. What is x(w(r))?
22914*r**2
Let x(w) be the third derivative of 0*w + 3*w**2 + 1/12*w**4 + 0 + 0*w**3. Let d(v) be the first derivative of v**2 + 6. Calculate d(x(u)).
4*u
Let s(v) = 29*v**2. Let n(b) = -b + 3. Let t(x) = 4*x - 11. Let l(i) = -22*n(i) - 6*t(i). Give l(s(j)).
-58*j**2
Let i(n) = -15141*n. Let j(f) = -2*f**2. What is j(i(l))?
-458499762*l**2
Let g(d) be the third derivative of -3*d**2 + 0*d + 0*d**3 + 0 + 1/12*d**4. Let c(w) = -w. What is c(g(i))?
-2*i
Let f(p) = -3*p + 4. Let h(k) = 8*k - 11. Let a(o) = 11*f(o) + 4*h(o). Let y(q) = -2*q. Let r(l) = -2*l. Let g(j) = 3*r(j) - 4*y(j). Determine a(g(i)).
-2*i
Let v(l) = -46*l**2. Let a(t) = 16*t. Give a(v(y)).
-736*y**2
Let m(r) be the first derivative of -2*r**3/3 + 2. Let w(o) = -2*o**2 + 0*o**2 + 5*o**2. Give m(w(t)).
-18*t**4
Let s(t) = -11*t. Let g(i) = 25*i**2. What is g(s(a))?
3025*a**2
Let x(c) = -11*c. Let j(i) = 13*i + 29. Calculate x(j(p)).
-143*p - 319
Let d(m) = 3*m + 0*m - m. Let k(w) = 6*w**2. Give k(d(z)).
24*z**2
Let y(n) = 2*n**2. Let l(f) = 22*f - 47*f + 29*f. Determine l(y(p)).
8*p**2
Let n(i) = 2*i. Let u(p) = -514*p**2. Calculate u(n(a)).
-2056*a**2
Let v be ((-12)/(-15))/((-4)/(-10)). Suppose 3 = 3*t - v*t. Let u(o) = -t - o + 3. Let j(a) = -2*a. Determine j(u(z)).
2*z
Suppose 3*y - 2*y + 3*r = 7, y = -2*r + 11. Suppose -5*b = 4 - y. Let v(g) = 0*g + 5*g - b*g - g. Let o(t) = 6*t**2. Calculate o(v(u)).
6*u**2
Let n(m) = -3*m. Let d(q) = -5*q. Let w(a) = 5*d(a) - 8*n(a). Suppose 2*l = 5*l + 3*y - 33, y = 5*l - 37. Let u(g) = -g + l*g - g. Calculate w(u(p)).
-6*p
Let j(s) = 2*s. Let l = 9 + -4. Let i(m) = 3*m**2 - 5. Let u(q) = -q**2 + 2. Let v(t) = l*u(t) + 2*i(t). Calculate j(v(h)).
2*h**2
Let o(a) = 336*a**2. Let c(w) = 14*w**2. What is c(o(f))?
1580544*f**4
Let t(l) = -l. Let z(y) be the first derivative of 3/2*y**2 - 2 + 0*y. What is z(t(c))?
-3*c
Let r = -5 - -8. Let t(d) = r*d - d + d. Let o(j) = -j. Give t(o(q)).
-3*q
Let x(r) = r**3 - 11*r**2 + 10*r + 4. Let o be x(10). Suppose -o*s + 3*s = -2. Let b(m) = 0*m**2 - 3*m**2 + s*m**2. Let z(i) = -i. Give z(b(a)).
a**2
Let z(o) = -2*o. Let c(i) be the third derivative of -i**4/24 + 4*i**2. Calculate z(c(n)).
2*n
Suppose -r - 2*n = -11, r + r - 17 = -3*n. Let z = 1 + r. Let f(v) = -4 + 0 + z*v**2 + 4. Let h(m) = 2*m. What is h(f(a))?
4*a**2
Let w(r) = 2*r**2. Let h(v) = 5*v - 6*v + 0*v. Give h(w(g)).
-2*g**2
Let i(z) = 4*z. Let p(d) = -651*d**2. Calculate i(p(v)).
-2604*v**2
Let x(h) = 9*h. Let l(m) = 55*m. Let w(p) = 8*p. Let q(c) = 3*l(c) - 22*w(c). Determine x(q(f)).
-99*f
Let k(s) = -14*s**2. Let h(y) = 1. Let i(d) = -d - 2. Let r(z) = 2*h(z) + i(z). Calculate r(k(f)).
14*f**2
Let q(a) = 2*a. Let s(w) = -2867*w**2. Give q(s(o)).
-5734*o**2
Let s(i) = 2*i. Let m(w) = -10*w - 100. Calculate m(s(u)).
-20*u - 100
Let c(p) = -4*p. Let i(n) = 3*n**2 + 466 - 466. Determine c(i(g)).
-12*g**2
Let m(n) = 2*n**2. Let f(k) be the second derivative of -k**3/3 + 4*k. What is m(f(v))?
8*v**2
Let w(z) = 5*z**2. Let h(r) = -3*r - 2. Let j(k) = k - 1. Let u(a) = -h(a) + 2*j(a). Calculate u(w(g)).
25*g**2
Let d(a) = -4*a. Let t(g) = -2 + 2 - 4*g**2 + 0. Calculate d(t(m)).
16*m**2
Let h(n) be the first derivative of n**2 + 1. Let k(z) = 2*z**2 - 4*z**2 + 4*z**2 - 4*z**2. Calculate h(k(m)).
-4*m**2
Let u(h) = 5*h**2. Let x(r) = -3*r - 3*r + 2*r + 0*r. What is u(x(m))?
80*m**2
Let r(d) = 2*d**2. Let y(s) be the first derivative of -3/2*s**2 + 0*s + 3. Determine r(y(h)).
18*h**2
Let l(k) be the second derivative of -5*k**4/12 - 4*k. Let f(a) be the third derivative of a**4/24 - 7*a**2. What is l(f(n))?
-5*n**2
Let m(o) = -o. Let t(i) be the first derivative of -4 + 0*i - 1/2*i**2. Determine t(m(h)).
h
Let q(j) = -3*j. Let z = 7 + -5. Suppose 0*u + 2*u = 0. Let c(g) = z*g + u*g - g. Give c(q(k)).
-3*k
Let x(y) = -2*y**2. Let o(f) = -46*f. What is o(x(k))?
92*k**2
Let q(z) = -3*z. Let h(o) = -446*o. Give q(h(v)).
1338*v
Let y(t) = -638*t**2. Let w(v) = -v**2. Give w(y(f)).
-407044*f**4
Let q(z) = 1301 + z**2 - 1301. Let a(v) = 38*v**2. Calculate q(a(j)).
1444*j**4
Let u(y) = -3*y**2. Let a(i) be the third derivative of i**4/24 - 6*i**2. Give a(u(j)).
-3*j**2
Let g(p) be the second derivative of p - 1/4*p**4 + 0 + 0*p**3 + 0*p**2. Let w(k) be the third derivative of k**4/12 + 2*k**2. Give w(g(r)).
-6*r**2
Let f(k) = -2*k. Let n(p) = 4*p**2 + 10*p + 2. Calculate n(f(v)).
16*v**2 - 20*v + 2
Let n(p) = -p**2. Let l be ((-3)/7 - (-208)/273)*2. Let q(t) be the first derivative of 0*t**2 - 1 + 0*t - l*t**3. What is n(q(u))?
-4*u**4
Let y(j) = -2*j. Let d(q) be the third derivative of -q**2 + 0 + 1/60*q**5 + 0*q**4 + 0*q**3 + 0*q. Give y(d(b)).
-2*b**2
Suppose 0 = 4*r - 11 + 3. Let k(s) = s - 2*s - r*s. Let z(t) = 0 + 6*t**2 - 4*t**2 + 0. Calculate k(z(x)).
-6*x**2
Let d(g) be the first derivative of g**2/2 + 6. Let p(m) be the second derivative of m**3/6 - m. Give p(d(l)).
l
Let o(c) = -18*c + 17*c - 5*c. Let t(h) = -3*h. Calculate o(t(k)).
18*k
Let d(n) be the first derivative of -5 - n**2 + 1 + 0. Let o(a) = 2*a. What is o(d(b))?
-4*b
Let b(i) = -3*i - 3*i + 0*i. Let x(s) be the first derivative of s**6/360 + s**3/3 + 4. Let z(n) be the third derivative of x(n). What is z(b(m))?
36*m**2
Let j = 5 - 0. Let q(p) = -2*p**2 - j*p**2 + 5*p**2 + 3*p**2. Let f(x) be the third derivative of -x**5/30 - x**2. Determine f(q(t)).
-2*t**4
Let w(r) = 7*r**2. Let p(n) = 49 - 49 + n. What is w(p(z))?
7*z**2
Let i(y) = -9 + 2 - 2*y + 7. Let n(x) be the second derivative of x**3/3 + 2*x. What is i(n(t))?
-4*t
Let i(o) = -98*o. Let g(h) be the third derivative of -h**4/24 - 19*h**2 - h. Give g(i(p)).
98*p
Let d(k) = 1723*k. Let r(u) = u. Determine r(d(i)).
1723*i
Let c(y) = -y**2. Let q(v) be the second derivative of -2*v**3/3 - 6*v. What is c(q(l))?
-16*l**2
Let c(s) = -9*s**2. Let v(k) = -24*k + 24*k + k**2. Determine v(c(g)).
81*g**4
Let a(i) = 231*i**2. Let p(y) = 3*y. What is p(a(g))?
693*g**2
Let n(m) = 7*m**2 - 11*m - 22. Let v(x) = 4*x**2 - 6*x - 12. Let s(i) = -6*n(i) + 11*v(i). Let f(b) be the third derivative of -7*b**4/8 - 2*b**2. Give f(s(q)).
-42*q**2
Let h(s) = -24*s. Let w(f) be the third derivative of f**5/30 + 10*f**2. What is h(w(u))?
-48*u**2
Let u(b) = 2*b. Let y(n) = 2*n - 6. Let t be y(4). Let h(c) = 8*c**t + 2*c - 2*c + 0*c. What is u(h(a))?
16*a**2
Suppose 0*t - 16 = -2*t. Let l(q) = -5*q - t*q + 11*q. Let r(n) = n - n + 3*n**2. Determine r(l(d)).
12*d**2
Let r(g) be the first derivative of 4*g**3/3 - 1. Let j(l) = -2*l**2 - 8*l + 5*l + 3*l. Give j(r(h)).
-32*h**4
Let z(k) | {
"pile_set_name": "DM Mathematics"
} |
) -0.5 (c) -30
b
Which is the nearest to -1/2? (a) -3 (b) -0.5 (c) -2 (d) -7/8
b
What is the closest to -0.06 in 2, -5, 5, -0.4?
-0.4
What is the nearest to 6 in 1, 1.3, -6.6, -3?
1.3
What is the nearest to -9 in 2/7, -1, 11/5?
-1
Which is the nearest to -10? (a) 5 (b) -9 (c) -2/11
b
Which is the nearest to 2? (a) -194 (b) -4 (c) 1/8
c
What is the closest to -0.1 in 1/21, -1/4, -61, -4?
1/21
What is the closest to -1 in 1/7, 5, 0, -9.77?
0
What is the closest to 1 in -4, 3, 5.6?
3
Which is the nearest to -1/4? (a) 1 (b) -5 (c) 4
a
What is the nearest to 2/4807 in 4, 4/3, 4/7?
4/7
Which is the nearest to -0.1? (a) 55 (b) -4 (c) 3
c
What is the closest to 0 in 7, 0, 2/11, 0.1?
0
Which is the nearest to 1? (a) -0.1 (b) -1/5 (c) -1/6 (d) -2/5
a
What is the nearest to -359 in -2/15, 5, -0.2?
-0.2
Which is the closest to 1? (a) 3 (b) -0.57 (c) -3/5
b
What is the closest to 3 in -2, 1/2, 0.4, 0?
1/2
What is the nearest to -2/5 in 1/24, 3, 120, 0.5?
1/24
What is the nearest to 3 in 0.2, -4.45, -2/9, -1/8?
0.2
What is the nearest to -2 in -2, 3, 0.1, -3/7?
-2
What is the nearest to 155 in 0, 3, -1, -0.4?
3
What is the nearest to 8 in 4, -0.1, 2/9?
4
Which is the closest to 0? (a) 3/5 (b) 1.725 (c) -2
a
Which is the closest to -0.2? (a) -1/4 (b) 0.4 (c) 15 (d) 5
a
Which is the closest to -0.1? (a) 0.5 (b) 1/4 (c) 7
b
What is the closest to 1/4 in 4, 0.05, -4?
0.05
What is the closest to 4 in -0.2, 0.03, 1/7?
1/7
Which is the closest to 0? (a) 0.3 (b) -4/7 (c) 1
a
What is the closest to 10 in 0.3, -1/4, -3/250, 2/7?
0.3
What is the nearest to -3.35 in 2, -0.5, 1?
-0.5
What is the closest to -1 in -0.4, -1.2, 5, 2?
-1.2
Which is the closest to 9? (a) 4 (b) -1/9 (c) 6 (d) 2/19
c
What is the closest to -4 in 3, -3, -4?
-4
Which is the nearest to 21? (a) -3/5 (b) 6 (c) 0.1 (d) 0
b
What is the nearest to 0 in 0.5, -6/7, 5, 0.07?
0.07
What is the closest to 57 in 4, -1/6, 0?
4
Which is the nearest to 3? (a) 2/3 (b) -2 (c) 4
c
Which is the nearest to -0.2449? (a) 0.1 (b) -0.4 (c) 5/2
b
What is the closest to -1/4 in 2/7, -1.6, -17?
2/7
What is the closest to 0 in 18, 6/95, -5?
6/95
Which is the nearest to -0.1? (a) -125 (b) -1/3 (c) -4
b
Which is the closest to 2/5? (a) -0.3 (b) -0.6 (c) -2 (d) 1/2
d
Which is the nearest to 0? (a) -1/4 (b) 1 (c) -2 (d) 38
a
What is the closest to 1 in 119, -12, -1?
-1
What is the nearest to 0 in 0.1, 0.3, -2/15, -14?
0.1
Which is the nearest to -1? (a) -0.3 (b) -1/3 (c) -2/19 (d) -5
b
What is the closest to 0.2 in 2, 0.08, -53?
0.08
Which is the nearest to 2/17? (a) 3 (b) 27 (c) -8
a
Which is the nearest to 0.1? (a) 3 (b) -2/99 (c) 2/5
b
What is the closest to -0.3 in -2, 3, 0.13?
0.13
Which is the nearest to -29/12? (a) -1/11 (b) 5 (c) 0.3
a
What is the nearest to 0 in -0.6, 2, 1?
-0.6
What is the closest to 1 in 8, 0, 0.593?
0.593
What is the closest to 0.18 in -2/9, 0.04, -0.2, -2?
0.04
What is the nearest to 1 in 0.2, -3, -5, 0.1?
0.2
What is the nearest to 0 in 1/7, -4, 0, -1?
0
What is the nearest to 1/2 in 3/5, -1/4, 0.5, -4?
0.5
Which is the nearest to -0.1? (a) -1 (b) -4/7 (c) -0.2 (d) 0.5
c
Which is the closest to -2/5? (a) -2 (b) -5 (c) -0.2 (d) 0.41
c
Which is the closest to -0.1? (a) 0.3 (b) 8 (c) -3 (d) 4
a
What is the closest to 11 in -2/3, -0.5, -3, 3/4?
3/4
What is the nearest to 1/3 in -4/5, 0, 1.57?
0
Which is the closest to -1/4? (a) 1 (b) 6/11 (c) -9
b
What is the closest to -95 in 5, 2, 2/3?
2/3
Which is the closest to 2? (a) -0.3 (b) 2 (c) -18/7
b
Which is the nearest to 1? (a) -10 (b) 0.6 (c) -0.2 (d) -0.3
b
What is the nearest to 2 in -0.3, -1/4, 0.019?
0.019
What is the nearest to -2/5 in 3, -4, 0.5, -16?
0.5
Which is the closest to 0.2? (a) 5 (b) 0.4 (c) 139
b
Which is the nearest to 2? (a) 4 (b) -1 (c) 19 (d) 3/7
d
Which is the nearest to -0.2? (a) -0.2 (b) -0.1 (c) 1 (d) -22/5
a
What is the closest to -3 in -67, 6, -1?
-1
Which is the closest to -2? (a) -0.1 (b) 0.4 (c) 4/3 (d) -1/4
d
What is the closest to -1/379 in 0.4, -2, -3?
0.4
What is the closest to 1 in -0.5, -68, 0?
0
Which is the nearest to -2/635? (a) 3/2 (b) 5 (c) 0.2
c
Which is the closest to 8? (a) 0.4 (b) -4 (c) 0.34
a
Which is the nearest to 0.1? (a) -4 (b) -0.5 (c) -0.2 (d) -0.4
c
What is the closest to 3 in -1/3, -1, 2, -1/2?
2
What is the closest to 372 in 0.2, 1, 4, 5?
5
Which is the nearest to -45.7? (a) -2 (b) -1/2 (c) -3
c
What is the nearest to 1 in 123, 3, -3, -3/2?
3
Which is the closest to 0? (a) 20 (b) -2/9 (c) 3 (d) 7
b
What is the closest to 0.11 in -3/4, 2, 1/3, 0?
0
Which is the closest to 0.03? (a) 1/4 (b) 0.1 (c) -1
b
What is the closest to -2/7 in 5, -2/3, -4, 3?
-2/3
What is the nearest to 0 in 0.165, -1/3, -3?
0.165
What is the closest to -8 in -5, 3, 4/9, 0.3?
-5
Which is the nearest to 1? (a) -0.3 (b) -2/9 (c) -49
b
Which is the closest to 1/4? (a) 0.4 (b) 50 (c) -1
a
Which is the closest to -0.8? (a) 1 (b) 94 (c) -2/5
c
What is the nearest to -19 in -2/11, 5, 2?
-2/11
What is the nearest to -0.1 in -4, 1/9, 5, 0?
0
Which is the closest to -0.02? (a) -1/5 (b) -3 (c) 1/4 (d) 2/19
d
Which is the closest to 7? (a) 3/4 (b) -12/5 (c) 0.4
a
What is the closest to -1 in -6/5, 3, 0, -2/19?
-6/5
What is the nearest to -1/3 in 0, -13, 5/2?
0
Which is the nearest to -0.094? (a) 3 (b) 5 (c) 0.4 (d) 0.1
d
What is the nearest to -0.5 in -1, 0.4, 0.02?
-1
Which is the nearest to 8? (a) -2/3 (b) 2 (c) 0 (d) 4
d
What is the closest to 198 in -1/8, 1, -2/7?
1
What is the nearest to 0.07 in -7/2, -1/20, 0.2, 0.4?
-1/20
Which is the closest to 2/5? (a) -6 (b) -4 (c) 9 (d) -1/5
d
What is the nearest to -0.1 in -3, -101, -3/7, -2?
-3/7
Which is the nearest to -7? (a) 0.054 (b) -3/5 (c) -0.5
b
Which is the nearest to 1? (a) 5 (b) 5/2 (c) 0.9
c
What is the closest to 1 in 5, -1/5, -2/5?
-1/5
Which is the nearest to -2/7? (a) 1/5 (b) -0.2 (c) -0.3 (d) 2
c
Which is the closest to -4/7? (a) -2/11 (b) -0.36 (c) 4
b
What is the nearest to -513 in 3, -0.4, -4?
-4
Which is the closest to -1? (a) 11 (b) 2 (c) 65
b
Which is the closest to -1? (a) -7/6 (b) -2 (c) 4
a
Which is the closest to -7? (a) 0.1 (b) 2/11 (c) 0.01
c
Which is the closest to 0? (a) 5/2 (b) -3/10 (c) 2/9 (d) 2/5
c
Which is the nearest to 2? (a) 3/8 (b) 30 (c) 0
a
Which is the nearest to -1/3? (a) 0.2 (b) 2/19 (c) -1/2
c
Which is the closest to 0.1? (a) -4/5 (b) -37 (c) 8 (d) 3/5
d
What is the closest to -0.06 in 7/2, -1.3, 1?
1
What is the closest to 0 in -0.2, -2/3, 10, 4/9?
-0.2
What is the nearest to -0.2 in 2/89, -11, 5?
2/89
Which is the closest to -3? (a) 4 (b) -4 (c) -0.06 (d) 2
b
What is the nearest to 2/7 in 1.7, 4, 0.4?
0.4
What is the nearest to -1/4 in -2/7, -7/8, -1, 2/11?
-2/7
What is the closest to 0.2 in -1, 3, -0.5, 0.12?
0.12
What is the nearest to 1 in -0.5, 1/6, 0.2, -25?
0.2
What is the nearest to 1/4 in -2/9, 1/6, -200/7?
1/6
What is the closest to -2 in 0.05, -7, -5?
0.05
What is the closest to -2 in 0.5, -0.3, -1/4, -10?
-0.3
What is the nearest to -0.04 in -134, 0.5, 0.3, -0.2?
-0.2
What is the closest to -5 in -2, -1, -4/5, -5?
-5
What is the closest to -1 in 2.7, 3/8, 3, -1/2?
-1/2
Which is the closest to 2/11? (a) -0.5 (b) -4 (c) -29 (d) 1/3
d
Which is the closest to -2.2? (a) -2 (b) -0.5 (c) 1/10
a
Which is the closest to 14? (a) -1 (b) 0.2 (c) -0.6 (d) -1/3
b
Which is the nearest to -2/7? (a) 1 (b) -0.5 (c) -0.0496
b
Which is the closest to 2/25? (a) -17 (b) -0.2 (c) 0
c
Which is the closest to 3? (a) -121 (b) -3/5 (c) 5
c
What is the nearest to -6 in -12, 4, -4, -5?
-5
Which is the closest to -5/4? (a) -4/3 (b) -1.9 (c) -0.5
a
What is the closest to 1 in -4/7, -1, -15?
-4/7
What is the closest to -1 in -2/13, 1, -2, 4?
-2/13
Which is the nearest to 1? (a) 1 (b) 0.15 (c) 10
a
Which is the nearest to 1/2? (a) 6 (b) 0 (c) 98
b
Which is the closest to -1/3? (a) -1 (b) 1.1 (c) 0.2
c
Which is the closest to 1/7? (a) -0.041 (b) 5 (c) 1 (d) -1
a
What is the closest to -2 in 4, 0.3, -0.4, -16?
-0.4
What is the nearest to -2/5 in 2/13, 5, 0.25?
2/13
Which is the nearest to -1? (a) -5 (b) 0 (c) -51 (d) -3
b
Which i | {
"pile_set_name": "DM Mathematics"
} |
is k rounded to the nearest one thousand?
12000
Let h = 73 - 45. Let w = -32 + h. Let v = -22.2 + w. What is v rounded to 0 decimal places?
-26
Let m = -0.2664 - -205.1664. Let y = m + -208. Round y to one decimal place.
-3.1
Let r = 12597 - 2590. Let f = r + -10006.9995261. What is f rounded to four dps?
0.0005
Let p = 84 - 23. Let l = p - 34. Let d = -27.0000001 + l. What is d rounded to 7 decimal places?
-0.0000001
Let p = -1018 - -1187.4. Let j = 137 - p. Let s = j - -32.39517. Round s to three dps.
-0.005
Let g = -164164 + 164163.770019. Let y = -44 + 44.23. Let l = y + g. What is l rounded to five decimal places?
0.00002
Suppose 7*h - 4*h = 879. Let r = h - 91. Let b = -138 + r. What is b rounded to the nearest ten?
60
Let y = 147156 + -147791.09. Let h = y - -647. Round h to the nearest integer.
12
Let s = 218.216846029 - -11.583149623. Let q = s - 229.8. What is q rounded to six decimal places?
-0.000004
Let s = 341555 - -756267. Let z = 1097823.61000415 - s. Let d = -1.61 + z. Round d to seven decimal places.
0.0000042
Let p = 10870.010666 - 10870. Round p to 3 dps.
0.011
Let m = -6251 + 25646. Suppose -m + 67245 = 2*b. Suppose -3*u + b = -138375. Round u to the nearest 1000.
54000
Let p = 194.35 + -2.35. Let x = p - 191.999423. Round x to five decimal places.
0.00058
Let z = -0.0626 - -0.1272. Let o = z + -107.2646. Round o to the nearest 10.
-110
Let o = 80479 - 80478.952021. What is o rounded to three decimal places?
0.048
Let p = 51567202602.54864223 + -55276061062.0486441. Let z = p - -3708858789.5. Let v = z - 330. Round v to six decimal places.
-0.000002
Let k = -168865 + 106115. Round k to the nearest 10000.
-60000
Let y(s) = -9*s**3 - 30*s**2 - 14*s + 120. Let z be y(-52). Round z to the nearest one hundred thousand.
1200000
Suppose -7 = -5*q - w, -q - w = -4 + 5. Suppose -2*d - 3 = k, -7*d = -4*k - q*d + 27. Let j be (k - 7) + (-946 - 0). Round j to the nearest one hundred.
-1000
Let r(k) = 3214*k + 10. Let y be r(3). Suppose -h - 10648 = y. Round h to the nearest 10000.
-20000
Let a(l) = 288926*l**3 - 8*l**2 + 24*l - 2. Let v be a(3). Round v to the nearest 1000000.
8000000
Let o = -1443 - 2852. Let v = o + 4294.6147. Let p = v - -0.412. What is p rounded to three decimal places?
0.027
Let n = -0.002 - 4.398. Let g = -42.3 - -38. Let k = n - g. What is k rounded to the nearest integer?
0
Let w = 8097 + -4262. Let t = w - 6845. Round t to the nearest one hundred.
-3000
Suppose -3*t + 2*j + 79 = 0, 4*j + 129 = t + 4*t. Let u be (2 + 9/(-3))*0. Suppose t*g - 25*g + 12000000 = u. Round g to the nearest one million.
-3000000
Suppose -3*x - 582 = -5*r + 103, 2*x + r + 474 = 0. Let q(z) = -6*z + 49. Let g be q(-3). Let m = x + g. Round m to the nearest 10.
-170
Let o = -16476 - -16663.38. Round o to zero dps.
187
Let w = 49.65370435 + -49.655. What is w rounded to five decimal places?
-0.0013
Let u = -21.972 - -18.4. Let o = u + 4.1. Round o to 1 dp.
0.5
Let s = 803 - 802.9639. Let v = 113.9361 - s. What is v rounded to the nearest 10?
110
Let q = 57 - 56.59. Let r = -6.39 - q. Let v = r + 6.800245. What is v rounded to five decimal places?
0.00025
Let o = 20.7207708017 - 105.3207704287. Let n = 686 + -770.6. Let m = n - o. Round m to 7 decimal places.
-0.0000004
Let p = 2824 - 2503.2. Let j = -146.4 + p. What is j rounded to the nearest ten?
170
Let u be 1/((-2)/(-16)) + -4. Let g = 3333 - 1839. Suppose -u*l - g = 1226. Round l to the nearest 100.
-700
Let r = 16168.9999909632 - 16169. Round r to six decimal places.
-0.000009
Let g = -8511.99993804 - -8512. Round g to 6 decimal places.
0.000062
Let d = 124.687 - 123.9. Let z = d + -0.77773. What is z rounded to three dps?
0.009
Let h = -596.9 - 220. Round h to the nearest ten.
-820
Let p = -151303641933.463 - -203229841.463. Let m = p - -151100410955.999999499. Let l = m - -1136. Round l to 7 dps.
-0.0000005
Let g be (-2)/(1 + (-476)/474). Suppose 475*s - g*s = 667. What is s rounded to the nearest one hundred?
700
Let u = -121 - -130.1. Let p = 63897.95 + -63907.049963. Let q = u + p. Round q to 5 dps.
0.00004
Suppose 31*f - 11*f - 40 = 0. Suppose 5*p - 29250008 = 4*v, -f*p = p + 2*v - 17549996. What is p rounded to the nearest one million?
6000000
Let k = -9.26 - -426.26. Let i = -417.309 + k. What is i rounded to 2 decimal places?
-0.31
Let y = -24.26 + 23.4255. What is y rounded to 1 decimal place?
-0.8
Let l = -2541.000001766 - -2541. What is l rounded to six decimal places?
-0.000002
Let j(c) = -809*c + 4066. Let v be j(46). Round v to the nearest 1000.
-33000
Let w = -9161.999674 - -9162. Round w to 2 decimal places.
0
Let t = 16.588 - -7.688. Round t to one dp.
24.3
Let h = -1431276 + 1431044.0522. Let w = 0.0522 - h. Let m = 231.99999513 - w. Round m to 6 decimal places.
-0.000005
Let p = 1739.7 + -1565. Let g = -19.3 - p. Let k = g - -193.9999332. What is k rounded to five decimal places?
-0.00007
Let p = -14561 + 14570.183. Round p to zero decimal places.
9
Let x = -12919.82 - -13032. Round x to the nearest ten.
110
Let l(u) = -2334*u**3 + 2*u**2 - 5*u + 3. Suppose -19 + 37 = -6*w. Let t be l(w). Let m = -189054 + t. What is m rounded to the nearest ten thousand?
-130000
Let f = 37 - 36.63. Let l = f - -1.51. Let c = -1.8244 + l. Round c to 2 dps.
0.06
Let y(w) = w**3 + 7*w**2 + 6*w - 17. Let i be y(-5). Suppose m + i*z + z + 4440012 = 0, -4*m - 5*z - 17760015 = 0. Round m to the nearest one hundred thousand.
-4400000
Let g = 31443108.9100101 - 31442932.91. Let u = -176 + g. Round u to 6 decimal places.
0.00001
Let f = 20 - 1769.8. What is f rounded to the nearest ten?
-1750
Let j(u) be the second derivative of 3288895*u**3/6 + 165*u**2/2 - u - 27. Let t be j(-27). Round t to the nearest 1000000.
-89000000
Let y = -0.185644 - 410.409356. Let d = y + 411. What is d rounded to two dps?
0.41
Let s = -15794 + 16695.9. Round s to the nearest one thousand.
1000
Let k = 0.134 + -6.234. Let c = 17.5 - k. Round c to the nearest 10.
20
Let c = -185076.499 - -184992. What is c rounded to zero decimal places?
-84
Let m = -2.9825 - -2.932065. What is m rounded to three dps?
-0.05
Let x = -93041.24602 - -93043. Round x to one dp.
1.8
Suppose 5*p = 4*t - 965612, 5*p + 965588 = -7*t + 3*t. What is p rounded to the nearest one thousand?
-193000
Let c be 2*(-3)/6*62/(-2). Suppose 0 = 5*d - 29 - c. Let z be 1/4 - (5175/d)/(-15). Round z to the nearest 10.
30
Let v = -16973.969 - -16976. What is v rounded to one dp?
2
Let a = 3124.7137 + -3125. What is a rounded to 2 decimal places?
-0.29
Let b(v) = -2*v**2 + 26*v - 61. Let p(a) = 5*a**2 - 51*a + 125. Let s(g) = 7*b(g) + 3*p(g). Let r be s(-20). Round r to the nearest one hundred.
-200
Let l = 0.114364 - -9067.785636. What is l rounded to the nearest one hundred?
9100
Suppose 8820000000 = -30*v - 3*v - 23*v. Round v to the nearest one million.
-158000000
Let v(n) = 1388237*n - 23. Let q be v(-3). Let r = 3495266 - q. What is r rounded to the nearest one million?
8000000
Let q(n) = n**3 + 9*n**2 + 23*n + 73. Let s be q(-7). Let i be 10/(-6)*108*(s + 0). What is i rounded to the nearest 100?
-1800
Let l = -30 - 36. Let r = -39 - l. Let i = r + -27.00078. Round i to 4 dps.
-0.0008
Suppose 21*x + 26296 - 292576 = 0. What is x rounded to the nearest 10000?
10000
Let j = 4328 - 1322. Let z = 3005.8269 - j. Round z to two dps.
-0.17
Suppose 12*m - 76340 = -8*m. Let w = m + -6707. What is w rounded to the nearest 100?
-2900
Let f = -2696.2254 - -1.0254. What is f rounded to the nearest 1000?
-3000
Suppose 5*z + 5*h = -20945005, -22*z = -24*z - h - 8378001. Round z to the nearest one million.
-4000000
Let g = 218 - 98. Let j = g + -68. Let k = j + -51.999979. Round k to five dps.
0.00002
Let u(q) = 2*q + 83*q**2 - 8 - 3*q - q - 4*q**2 + 3*q. Let g be u(-28). Round g to the nearest 10000.
60000
Let y = 44.29 + -45. Let g = -9.29 + y. Let m = g + 9.924. What is m rounded to two decimal places?
-0.08
Let c = 60 - 59.63. Let p = c - 0.3700059. Round p to 5 decimal places.
-0.00001
Let r = -107.1 - 55.5. Let p = r - -118. What is p rounded to the nearest 10?
-40
Let o(k) = -411*k - 3. Let s be o(-4). Let a = s + -3640. Let g = a + 1179. What is g rounded to the nearest 100?
-800
Let d = 7349.42 - 7337. What is d rounded to zero decimal places?
12 | {
"pile_set_name": "DM Mathematics"
} |
third derivative of c**6/120 - 17*c**5/60 - 13*c**4/8 + 13*c**3/3 + 1832*c**2 - 2*c + 1. Give w(19).
7
Suppose 0 = -3*l - 5*d - 284 + 249, -5*l + 2*d = -14. Let t(w) be the third derivative of 35*w**2 - 1/24*w**4 + 1/30*w**5 + 0 + l*w - 1/6*w**3. Calculate t(2).
5
Let x(n) be the second derivative of n**5/20 + n**4 + 9*n**2/2 + 15*n + 1. Let j be ((-144)/40)/((-3)/20*-2). What is x(j)?
9
Let y(w) = w**2 + 9*w + 43. Let n(p) = -p**2 - 9*p - 35. Let u(x) = 5*n(x) + 4*y(x). Let i be 4/(-12) - (-2 - (-17)/3). Give u(i).
17
Suppose -4*f + 63 = -5*v, -15*v + 7 = -20*v - 4*f. Let x(t) = -2*t**3 - 13*t**2 + 7*t + 1. Calculate x(v).
1
Let c(s) = -s**3 - 9*s**2 - 2*s - 13. Let j be (-6)/4*(-6 + 3 - -1). Suppose -j*w + 3*k = -0*k + 12, 0 = -4*w + 2*k - 26. Calculate c(w).
5
Let d(t) = -t**2 - 3*t + 8. Let m be ((-26)/65)/((-2)/(-10)). Let v be (-5 + (-126)/(-30))*5. Let f = v + m. Determine d(f).
-10
Suppose 19*g - 4*a + 4 = 23*g, -3*g + a = -15. Let f(r) = -3*r**2 - 5*r + 5. Calculate f(g).
-63
Let v(w) = 530*w**2 - 5*w + 522*w**2 + 528*w**2 - 5*w + 15 - 1581*w**2. What is v(-16)?
-81
Suppose -5*q - 4*t + 13 + 11 = 0, -3*t = -2*q + 5. Let k(n) = 6*n**2 - 25*n + 10. Calculate k(q).
6
Let j(w) be the second derivative of w**5/5 - w**4/4 - w**3/2 + 2*w**2 + 3436*w. Give j(-2).
-34
Suppose -514 = -3*q + 161. Suppose -215*y + q*y - 40 = 0. Let a(p) = 4*p - 3. Give a(y).
13
Let h(m) = -m**3 + 4. Suppose 19*d - 15*d - 12 = 0. Suppose -d*r = 48 - 63. Suppose r*f + 15 = -5*j, -3*f + 0*f - 6 = 2*j. Give h(f).
4
Let v = -423 + 429. Let q(u) = u**3 - 3 + 4*u**2 + 4*u - 3*u + v - 2. What is q(-4)?
-3
Let y(f) be the third derivative of f**6/120 - 7*f**5/30 - 17*f**4/12 + 17*f**3/3 + 79*f**2 + 12. Give y(16).
2
Suppose 0 = -25*x + 31*x + k - 62, 71 = 5*x - 4*k. Let a(p) = -5*p + 45. What is a(x)?
-10
Suppose -3*g + 2*g + 7*g = 0. Suppose g = -2*s + 4*s + 2. Let z(k) = -17*k**3 + k**2 + 2*k + 1. What is z(s)?
17
Let u(n) = -2*n - 8. Suppose 48 + 44 = 4*f. Suppose f*l - 36 = 29*l. Determine u(l).
4
Let k be (((-480)/25)/8)/(27/(-90)). Let c(m) = m**3 - 8*m**2 + 2*m - 28. Determine c(k).
-12
Let o(k) = 2*k**2 + 28*k - 9. Let u be o(-14). Let r be 2/(-2) + ((-24)/8 - u). Let v(s) = s - 11. What is v(r)?
-6
Let k = -10327 + 10335. Let a(t) = -t + 43. Give a(k).
35
Let c = 44 + -30. Let g be c/(-70) + 28/(-10). Let b(t) = 12*t + 4 - 2*t - 5*t + t**2. Give b(g).
-2
Let s = 59 + -49. Let y(p) = p - 9. What is y(s)?
1
Let u be 1 - 3 - (-1 - 1). Let a(l) = 231 - 3*l**3 - 5*l**2 - 2*l**2 - 2*l - 280. Let x(j) = -j**3 - 3*j**2 - j - 24. Let p(t) = 2*a(t) - 5*x(t). Give p(u).
22
Let v(x) = x**2 + 16*x + 54. Suppose 0 = -241*p + 273*p + 128. What is v(p)?
6
Let q(f) = -2*f**3 - f**2 - f. Let o be q(-1). Suppose -3*v = o*c + 14, 0 = -c - 3*v + 7*v - 7. Let i(s) = -2*s**2 - 15*s - 8. What is i(c)?
-1
Let l(q) = -q**3 + 2*q**2 + 61*q + 15. Let b(t) = t**2 + 3*t + 11. Let n be b(-2). Let r be l(n). Let g(m) = m**3 + 2*m**2 - 4*m - 3. Determine g(r).
0
Let b(w) = 22*w**2 + 14 - 17*w + 130*w + 4817*w**3 - 4816*w**3. Calculate b(-8).
6
Suppose -2*j = -11*j + 94 - 166. Let v(i) = 6*i + 34. What is v(j)?
-14
Suppose 0 = -5*r - 9*o + 5*o + 41, -4*r - 5*o + 31 = 0. Let p(l) = -199*l**3 - r*l**2 + 7*l**2 - 3*l - 2 + 200*l**3. Determine p(3).
-2
Suppose 9*v - 11*v - 4*u = 0, 2*u = 4*v - 10. Let m(q) = -q**v + 952 - 3*q - 1901 + 951. Let p be (-2)/(-8) - 63/12. Give m(p).
-8
Suppose 3*i - 31 = -176*a + 181*a, 5*i + a - 5 = 0. Let v(r) = -4*r + 16. What is v(i)?
8
Let r(z) = 10*z**2 + z + 1. Let a be ((-7)/((-7)/3))/(6/4). Let c be (-1)/(-3 + a + 2). What is r(c)?
10
Let s(i) = -5*i**3 - 12*i**2 - i + 4. Let y(j) = j**3 + j**2 - j - 1. Let f(k) = -s(k) - 6*y(k). Suppose 2*o = -13*o + 105. Calculate f(o).
2
Suppose -19*h - 68 = -23*h. Suppose -4*x - y + 16 = 0, -3*y - h = -3*x + 10. Let z(b) = 7*b**2 + x*b + 0*b**2 - 7*b - b**3 - 1 - b**2. What is z(5)?
14
Let d(g) = g**2 + 18*g + 46. Let a(i) = 2*i**2 + 58*i + 393. Let m be a(-12). What is d(m)?
1
Suppose -3*k = -3*r, -1 = k + 3*r + 3. Let g be (56 + -1)/(-5) - k. Let v be (((-32)/g)/4)/(16/40). Let u(i) = 3*i**2 - 3*i + 3. What is u(v)?
9
Let u(r) = -r**3 - 2*r**2 - 3*r. Let b be ((-2 - -1) + 0)*((7 - 3) + -2). Give u(b).
6
Let q(b) be the first derivative of 56 - 9/2*b**2 - 1/4*b**4 - 14*b + 11/3*b**3. Give q(10).
-4
Let h(i) = -119*i. Let m(g) be the second derivative of 7*g**3/6 - g. Let y(j) = -2*h(j) - 35*m(j). Let s = -124176 + 124175. What is y(s)?
7
Suppose -1594 = -90*u + 22 + 4. Let g(q) = -q**3 + 18*q**2 - 3*q + 25. Give g(u).
-29
Let p = 1448 + -1454. Let i(j) = j**3 + 5*j**2 - 9*j - 15. Let t be i(p). Let k(l) = 3*l + l**3 - 4 - 2*l**3 + l. What is k(t)?
-19
Let l(q) = -3*q**2 - 2*q - 3. Let x(w) = 3*w**2 + w + 3. Let j(s) = -3*l(s) - 2*x(s). Suppose -a - 2*v = 3*a + 16, 4*a = v - 4. Give j(a).
7
Let c(d) be the second derivative of d**4/6 - 7*d**3/6 - 53*d**2/2 - 86*d. Let v(z) be the first derivative of c(z). Calculate v(5).
13
Let h(v) = v**3 - 21*v**2 - 2*v + 16. Let o = 4706 + -4685. What is h(o)?
-26
Let x(f) be the third derivative of -f**4/4 + f**3/6 + f**2. Suppose 99*m - 31*m = -136. Determine x(m).
13
Let h(w) = -3*w**2 + 8. Let i(m) = -7*m**2 + m + 18. Let s be (-1)/1*-5 - (7 + -4). Let c(z) = s*i(z) - 5*h(z). Suppose 0*b = -2*b - 8. Calculate c(b).
4
Let t(r) be the third derivative of 17*r**4/12 + 211*r**3/6 + 71*r**2 + 2. Calculate t(-6).
7
Let g be 22*30/36 - 11/33. Suppose 3*a - 21 = -j, -2*j + 11 = 4*a - 21. Suppose 0 = -j*v - 30 - g. Let w(d) = d**3 + 9*d**2 + 7*d - 2. What is w(v)?
6
Let j be -2 + 300/32 + (-228)/608. Let q(p) = 5*p - 44. Give q(j).
-9
Let p(h) = h**2 - h - 2. Let w be p(3). Suppose -5*n - 30 = -w*t, 15*n = 11*n + 2*t - 18. Let i(j) = -2*j**3 - 2*j**2. What is i(n)?
8
Let p be 2 - (-46 + 2)*(3 + 54/(-24)). Let r(t) = t**3 - 36*t**2 + 36*t - 78. What is r(p)?
-43
Let w(n) = -6*n**3 + n. Let k be (14/(-6))/(4/204). Let a = 120 + k. Give w(a).
-5
Let m(c) = c - 28. Let n(k) = -6*k**2 - 10*k + 81. Let v(h) = -3*m(h) - n(h). Give v(-2).
13
Let l = -44 + 47. Let c(b) be the second derivative of b**4/6 - 5*b**3/6 - b**2 + 11*b - 3. Give c(l).
1
Let s(p) = 7*p**2 - 61*p - 24. Let h = -16675 - -16684. What is s(h)?
-6
Let f = 34 - 21. Suppose -f*m + 112 = 151. Let g(q) = 2*q - 3. Determine g(m).
-9
Let t(l) = 0 + l**2 + l + 5 - 2 + 5. Let x = -182 - 361. Let k = x + 543. What is t(k)?
8
Suppose 14426 + 9899 = -5*a. Let c be 48/(-22) - -2 - a/77. Let i = -62 + c. Let b(g) = 9*g**3 + g**2. Give b(i).
10
Suppose 4*n - 7 = 3*u - 8, u = -4*n + 11. Let g(o) = -n*o**2 + 286*o - 1 - 283*o - 4*o**2. Determine g(1).
-4
Let j(s) be the second derivative of s**4/12 - s**3 - 1207*s. Let q(a) = -a + 3. Let o be q(3). Let v(r) = r**2 + r + 6. Let i be v(o). Give j(i).
0
Let w = 18 + -16. Suppose -17*l + w = -16*l. Suppose -l + 8 = 3*h. Let x(v) = v**2 - 2*v + 1. Calculate x(h).
1
Let c(x) be the third derivative of -46*x**2 - 1/12*x**4 + 0*x + 7/6*x**3 + 0. Calculate c(4).
-1
Let r(y) be the third derivative of -5*y**4/24 - 5*y**3/6 + 57*y**2 - 40*y. Calculate r(-7).
30
Suppose 11*j + 9*j - 3*j + 68 = 0. Let s(f) = 35*f + 140. Give s(j).
0
Let z(d) be the second derivative of 0*d**2 + 1/24*d**4 + 1/40*d**5 + 29/6*d**3 + 0 + 26*d. Let o(s) be the second derivative of z(s). What is o(-2)?
-5
Suppose -403*z = -406*z - 2*l - 1, -20 = -3*z - 5*l. Let s(o) be the first derivative of o**3/3 + 3*o**2/2 - 2*o + 3. Calculate s(z).
8
Let c(t) be the third derivative of -t**4/12 - 53*t**3/6 + 3327*t**2. What is c(-23)?
-7
Let k be (8 + 49/(-14) + -6)*(1 + -3). Let q(i) = 2*i**2 + i + 1. Determine q(k).
22
Let c(r) = 2*r - 19. Suppose 5*a - h = 39, 3*a + 4*h - 514 + 486 = 0. Calculate c(a).
-3
Let u be -1 - -3 - (30/6 + -8). Suppose 0 = -u*d - 15, -k + 0*d - 3*d = 11. Let w(x) = -x**3 - 3*x**2 + 1. Calculate w(k).
-3
Let j(n) = n**2 - 11*n + 2. Suppose 0*c - 19*c = 95. Let s(f) = f**3 + 3*f**2 - 8*f + 21. Let r be s(c). Give j(r).
2
Let c = -35754 - -35754. Let n(m) = -m**3 + m**2 - m - 41. Calculate n(c).
-41
Let t = -14751 + 14744. Let x(k) = -13*k**2 - 93*k - 6. Determine x(t).
8
Let f(r) = -14*r + 4 + 12*r + 2*r - 19 + 4*r. Calculate f(11).
29
Let b(i) = -i**3 - 41*i**2 - 131*i - 646. Let s be b(-38). Let l(m) = -21*m - 5 | {
"pile_set_name": "DM Mathematics"
} |
585 = 3*n. Let a be 63/13 + (-18)/n. Suppose -q = -a*w - 0*q + 225, w - q = 45. What is the remainder when w is divided by 16?
13
Let j = 64 + -35. Suppose -i = -0*i - j. Let p = -4371 + 4513. What is the remainder when p is divided by i?
26
Suppose 4*i - 1246 = -2*v, 0 = -5*v - 249 + 244. What is the remainder when i is divided by 45?
42
Let w(h) = h**2 - 79*h + 184. Calculate the remainder when 306 is divided by w(0).
122
Suppose -l + 82 = 3*t, t - 278 = 11*l - 14*l. Let v(n) = -n**2 - 7*n - 2. Let a be v(-7). Let r = a - -18. Calculate the remainder when l is divided by r.
14
Suppose -o + 285 = 291, 0 = -4*h - 5*o - 14. What is the remainder when 44 is divided by h?
0
Let k(a) = -a**3 + 14*a**2 + 69*a - 175. What is the remainder when 385 is divided by k(-7)?
14
Suppose 2*u + 3*o = 104, 2*u + 5*o - 83 = 21. Let s = 1125 - 1112. What is the remainder when u is divided by s?
0
Suppose 48*c = 29925 + 193371. Calculate the remainder when c is divided by 99.
98
Calculate the remainder when 67838/107 + (-2)/(-9) + (-7)/(-9) is divided by 58.
55
Let i = -5535 + 5560. Calculate the remainder when 3324 is divided by i.
24
Let k = -26344 - -26594. What is the remainder when 1502 is divided by k?
2
Let g(f) = 6*f + 102. Let j be g(-14). What is the remainder when 97 is divided by (-4 + j/4)*86?
11
Suppose 0 = -20*v + 1847 - 587. Calculate the remainder when 97 is divided by (3 + (-40)/15)*v.
13
Let w = -1848 + 2081. What is the remainder when w is divided by 8?
1
Let i be ((-7730)/(-55) + 24/(-44))*9. Suppose -7*g - 21*g = -i. Calculate the remainder when 177 is divided by g.
42
Let q = 26 + -26. Suppose 3*r - 4 = 2*m - 3*m, 4*r - 4*m = q. Let l(z) = z**3 + 5*z**2 + 3*z - 2. Calculate the remainder when l(-4) is divided by r.
0
Let x = -647 + 777. Suppose -o - 235 = -4*p, -p + 302 = 4*p - 4*o. Let l = p + -39. Calculate the remainder when x is divided by l.
16
Suppose 5*w = 5*x - 475, -645 = -3*x + 5*w - 358. What is the remainder when 298 is divided by x?
16
Let g = -48 + 85. What is the remainder when 1044/6 + (2 - -8) is divided by g?
36
Suppose 3*l - 24 = -v - 0*l, 5*v = -4*l + 65. Suppose -d = -8 - v. Let s = -1280 + 1328. Calculate the remainder when s is divided by d.
14
Let i = -257 - -151. Let h = -802 + 945. Let k = i + h. Calculate the remainder when k is divided by 10.
7
Let f = -43 + 53. Let n(u) = -2*u**3 - u**2 + 3*u + 2. Let r be n(-2). Let k = r + 11. Calculate the remainder when k is divided by f.
9
Suppose 48*o - 1134 = 86*o - 56*o. Calculate the remainder when 3331 is divided by o.
55
Suppose -89*v + 3186 = -1887. Calculate the remainder when 1021 is divided by v.
52
Let j = -3882 - -4252. What is the remainder when j is divided by 130?
110
Let m(o) = -o**3 - 7*o**2 - 8*o + 4. Let y be (-27)/4 + 183/244. What is the remainder when 41 is divided by m(y)?
9
Suppose 0 = t + l + 271, t + 4*l + 325 = 66. Let k = t - -299. Calculate the remainder when k is divided by 13.
11
Calculate the remainder when 2*(210/112 + (-3)/(-24)) is divided by 4.
0
Let m(d) = d**3 - 6*d**2 + 8*d - 27. Let v(b) = -3*b. Let s be v(-2). Suppose -4*g + 9 = -35. Calculate the remainder when m(s) is divided by g.
10
Calculate the remainder when -11*10/(-165) + 9402/18 is divided by 139.
106
Let h be (-140)/(-6)*513/95. Let l = -50 + h. What is the remainder when l is divided by 25?
1
Suppose 29*r - 110*r + 1782 = 0. What is the remainder when (-956)/(-9) + (-4)/18 is divided by r?
18
Let x = 2973 + -2841. Calculate the remainder when x is divided by 36.
24
Suppose -36*x - 199*x - 1545 = -15645. Calculate the remainder when x is divided by ((-2)/3)/(18/(-729)).
6
Suppose -17 = -4*a + 4*o + 7, -4*a + o + 15 = 0. Suppose a*r = 48 - 33. Calculate the remainder when r is divided by 3.
2
Let s(w) = -w**2 - 25*w - 14. Let h be s(-22). Suppose 0 = -4*i + h - 28. Suppose -133 = i*o - 7*o. Calculate the remainder when o is divided by 34.
31
Calculate the remainder when 2/(6/21) + 4 is divided by (-68)/374 + 7 + -7 - (-158)/22.
4
Let x(w) be the first derivative of -33 - 1/4*w**4 + 8/3*w**3 + 0*w + 11*w**2. Calculate the remainder when 32 is divided by x(10).
12
Suppose -80*w = -75*w - 50. Suppose -w*k = -16*k + 66. Calculate the remainder when 26 is divided by k.
4
Let l = 5 + -1. Calculate the remainder when (121/11 - -48) + -9 is divided by ((-1)/(-3))/(l/132).
6
Suppose 0 = -7*t + 92 - 1254. Let f = -84 - t. What is the remainder when f is divided by 42?
40
Suppose -26*q + 15*q = 297. Suppose 235 = 4*h + 3*c, c + c = h - 67. Calculate the remainder when h is divided by ((-2)/6)/((-9)/q) + 32.
30
Suppose 0 = -19*z - 112 + 74. What is the remainder when 21 is divided by (-10)/z + (6 - 5)?
3
Suppose 11*q + 629 = -636. Calculate the remainder when (q/2)/((-17)/34) is divided by 24.
19
What is the remainder when (-24)/112 + (-49017)/(-14) is divided by 17?
16
Let u = 297 + -268. Suppose -416 = 3*r - u*r. Calculate the remainder when 62 is divided by r.
14
Suppose 27 = z + 24. Suppose z*m - 410 = -2*m. What is the remainder when m is divided by 22?
16
Let w be 1/((-30)/70*(-2)/6). What is the remainder when 98 is divided by 7*(-6 + w + 4)?
28
Let f(h) = h**3 - 2*h**2 - 11*h - 8. Let c be f(8). Suppose 9*g - 18*g = -c. What is the remainder when g is divided by (-3)/(-9)*-5*-3?
2
Suppose 5*j - 2*w + 154 = 0, -34 = j + 3*w - 5*w. Let c(u) = 6*u + 16. What is the remainder when c(11) is divided by (3766/105 - -6) + (-4)/j?
40
Suppose b + 10 = 50. Suppose 26*r = 11698 - 11126. What is the remainder when b is divided by r?
18
What is the remainder when 1128 is divided by (-5)/(20/(-12))*70/42?
3
Let z = -5088 - -5135. Calculate the remainder when 3090 is divided by z.
35
Suppose i - 3*b + 17 = 66, 4*i = -3*b + 226. Suppose -n + 3*d - 2*d = -15, -2*d = 2. What is the remainder when i is divided by n?
13
Suppose -y - 4094 = 22*y. Suppose -428 = -4*c + 8*c. Let q = c - y. Calculate the remainder when q is divided by 25.
21
Let f = 11018 - 10957. What is the remainder when 3537 is divided by f?
60
Let j(s) = -5*s**3 - 82*s**2 - 27*s + 123. What is the remainder when 2750 is divided by j(-16)?
41
Let h = -664 - -668. Suppose 4*q + 61 = h*l + 5, 0 = l - 3*q - 20. What is the remainder when 64 is divided by l?
9
Let a = 97 + -23. Let o be (-32)/(-3) + 2/6. Calculate the remainder when a is divided by 17 + o + -3 + 1.
22
Let u = -16287 - -26061. Calculate the remainder when u is divided by 188.
186
Let g(r) = -r**3 - r**2 + r - 2. Let n be g(-2). Suppose -4*j - j = n. Suppose z - 18 - 85 = j. What is the remainder when z is divided by 52?
51
Suppose -70*a + 363*a - 14868 = -61*a. Calculate the remainder when a is divided by (-4 + 10/4)*-6.
6
Suppose 6*y - 5*y + 2 = 0. Let c be 53 - ((1 - -2) + y). Suppose 0 = -c*n + 48*n + 192. Calculate the remainder when n is divided by 10.
8
Let l = 25448 + -25313. Suppose 3*c + 4*n = 54, c - 2*n - 20 = -4*n. What is the remainder when l is divided by c?
9
Suppose -152 = -6*j + 670. What is the remainder when j is divided by 36?
29
Let b(l) = l**3 - 9*l**2 + 10*l + 15. Let c(g) be the first derivative of g**2 - 32*g + 24. Let d be c(20). Calculate the remainder when 122 is divided by b(d).
29
Let y(w) = w**3 + 7*w**2 + 13*w + 36. Calculate the remainder when 2939 is divided by y(-5).
20
Let o = 18 - -7. Suppose -56 = -3*v + o. Suppose 20 = -4*w, 0 = 22*d - 19*d + w - 25. What is the remainder when v is divided by d?
7
Suppose 4*m = 3*i + 364, -5*i = -5*m + 80 + 525. Let l = 156 + i. Suppose -218 = -2*s + l. Calculate the remainder when s is divided by 32.
31
What is the remainder when 634 is divided by 78/338 - 6972/(-39)?
97
Let b(d) = -14*d + 441. Let r be b(13). Suppose 0 = 2*f + 155 - r. What is the remainder when 254 is divided by f?
46
Calculate the remainder when (776 + 1)/(18 + 7 - 22) is divided by 194.
65
Let g(j) = -j**3 - 86*j**2 - 38*j - 44. Let x(n) = -43*n**2 - 19*n - 22. Let o(k) = -2*g(k) + 5*x(k). Calculate the remainder when 483 is divided by o(22).
43
Let c be (-2 + 2 - -1)*25. Let h(x) be the first derivative of 2*x**2 - 61*x - 3. What is the remainder when h(c) is divided by 7?
4
Suppose -30*u + 8211 = -2349. Calculate the remainder when u is divided by 192.
160
Let z = -3637 + 3701. What is the remainder when z is divided b | {
"pile_set_name": "DM Mathematics"
} |
prime factors of v?
2, 13
Let j be 1/3*(-108)/(-9). What are the prime factors of (-1)/j*(0 - 0) + 170?
2, 5, 17
Suppose 52 = b + 2*b + 2*z, 0 = b + 5*z. Suppose 0 = 3*s - 11 + b. List the prime factors of 4 + 2*s - -5.
3
List the prime factors of 8 + (2 - 7) - (2 + -279).
2, 5, 7
Let l(z) = -15*z - 10. Let p be l(-4). Suppose -c + 76 + p = 5*d, 458 = 3*c - d. What are the prime factors of c?
151
Suppose 25 - 313 = -4*q. Suppose -q + 30 = -2*x. Let l = x - -2. List the prime factors of l.
23
Let i(d) = -9*d**3 - 8*d**2 + 17*d - 28. Let y(l) = -5*l**3 - 4*l**2 + 9*l - 14. Let k(c) = 4*i(c) - 7*y(c). List the prime factors of k(-6).
2, 7
List the prime factors of 14/(-2)*34/(-238) - -1668.
1669
Let b(z) = 199*z**3 + z**2 - 2*z + 5. List the prime factors of b(2).
1597
Suppose 8*c - 4676 = 4*c. What are the prime factors of c?
7, 167
Suppose 3*h - 100 = -2*h. Let b = h + 36. List the prime factors of b.
2, 7
Suppose -k - 3*k - 448 = -3*j, -2*j - 5*k + 314 = 0. What are the prime factors of j?
2, 19
Let w(f) = -25*f**3 + f**3 - 51*f**3 + 3 - 4 + f**2. List the prime factors of w(-1).
3, 5
Suppose 0 = -9*u + 25*u - 3376. What are the prime factors of u + ((-2)/4 - (-6)/(-4))?
11, 19
Let k = 234 - 114. What are the prime factors of k?
2, 3, 5
Let f(k) = 6*k**2 - 161*k + 17. List the prime factors of f(42).
11, 349
Let k(i) = -9*i - 13. Suppose -3*b = -t + 8, -2*b - 3*b + 27 = 2*t. Let m be k(t). List the prime factors of ((-128)/m)/(2/14).
2
Let h(p) = -p - 10. Let q be h(-10). Suppose 4*m + 2*c - 651 = -3*c, -5*m + 2*c + 789 = q. List the prime factors of m.
3, 53
Let f = 241 - -1360. What are the prime factors of f?
1601
Let o(b) = -5*b + 32. Let c be o(6). Suppose 2*h = -c*h + 3*a + 332, a - 332 = -4*h. List the prime factors of h.
83
Let r be -3 + (1 + 5)/2. Suppose r = -o - 3*y - 10, 3*o - 3*y + 3 + 3 = 0. List the prime factors of (o - -2)/((-1)/10).
2, 5
Let c(u) = 2*u**2 + 13*u + 11. List the prime factors of c(-14).
13, 17
Let t = 5730 - 3432. List the prime factors of t.
2, 3, 383
Let i = -27 - -31. Suppose 3*t - 5*y + y = 4, i*t = -y - 1. Suppose t*d - 10 = -3*q + 2*d, -8 = -2*d. List the prime factors of q.
2, 3
Let o = 118 + -114. Suppose -2*a - 286 = -3*y, 0 = y - o*a - 48 - 54. What are the prime factors of y?
2, 47
Let a(g) = -g. Let h(m) = 38*m**2. Let j(t) = -a(t) + h(t). Let k be j(-2). Suppose 5*b - k = -0*b. List the prime factors of b.
2, 3, 5
Let s = -4332 + 6098. List the prime factors of s.
2, 883
Suppose 5*n = 32 - 12. Suppose 5*q - n = -24, 105 = o - 4*q. What are the prime factors of o?
89
Let c(f) be the third derivative of f**4/8 + 4*f**3 - 9*f**2. What are the prime factors of c(10)?
2, 3
Let q be (-1 + 0)*(20 - 33). Suppose 6*s - q*s = -707. List the prime factors of s.
101
Let j = -215 + -315. Let i = j + 355. Let q = -110 - i. What are the prime factors of q?
5, 13
Let l be (6/15)/((1/(-1))/(-780)). Let a = l - 220. List the prime factors of a.
2, 23
Suppose -h = 2*h + 114. Let i = -18 + 12. Let p = i - h. What are the prime factors of p?
2
Let p = -3162 + 6728. What are the prime factors of p?
2, 1783
Let j be 747/15 - 5/(-25). Let k = j + -45. What are the prime factors of k?
5
Suppose -1 = -b, 4*u - 487 = 4*b + 281. List the prime factors of u.
193
Suppose l - 18*l + 6766 = 0. List the prime factors of l.
2, 199
Let o(p) = -p**2 + 6*p - 6. Let s be o(5). Let z be (0 - -3)/(s/(-6)). What are the prime factors of (z/(-8))/((-18)/240)?
2, 3, 5
Suppose 3*w = -c + 94, -3*w + 9 = 3. What are the prime factors of (1 + -1 + c)*15/6?
2, 5, 11
Let p(t) = 2 - 5*t + 0*t + 2*t - 5. Let q(d) = -d**2 - 7*d + 1. Let y be q(-8). List the prime factors of p(y).
2, 3
Let m = -11 + 15. Suppose -1 = -m*q + 3. Let g(j) = 7*j**2 + j. List the prime factors of g(q).
2
Let a(d) = 14*d**2 + 2*d + 3. Let f be a(6). Suppose -5*p + f + 336 = 0. List the prime factors of p.
3, 19
Let a = -73 - -75. Suppose 158 = -0*z + a*z - 5*t, -88 = -z - 2*t. List the prime factors of z.
2, 3, 7
Let a(g) = g**3 - 9*g**2 + 6*g + 11. Let n be a(8). List the prime factors of -2*(-752)/20 + 1/n.
3, 5
Let t(j) = -5*j**3 - 6*j**2 - 8*j + 6. What are the prime factors of t(-4)?
2, 131
Suppose 0 = 2*f + 4*i + i - 124, -5*f + 352 = 2*i. Let y be ((-1)/(-1))/(3/f). Suppose z - 5*w = 7, 5*w = -z + 3*z - y. List the prime factors of z.
17
Suppose -4649 = -31*x - 743. List the prime factors of x.
2, 3, 7
Suppose 4*q - 8*q + 18 = 2*o, q - 2 = 0. Suppose -o*m + 2*h - 3*h = -399, -4*m + h = -321. List the prime factors of m.
2, 5
Suppose -6*n - 4 + 16 = 0. Suppose -n*l + 6*l = 1244. What are the prime factors of l?
311
Suppose 5*z = 4*z + 2. Suppose -z*c - 5*c = -21. List the prime factors of c.
3
Suppose -3*c = 2*c - 20. Suppose 3 = 5*t + c*h + 38, 0 = -3*t - 4*h - 13. List the prime factors of t/(-55) - 189/(-5).
2, 19
Suppose 0*x + 15 = 5*x. Suppose -a + 5*k = 2*k - 22, -5*a + 182 = x*k. List the prime factors of a.
2, 17
Let f(b) be the first derivative of -b**4/4 - 5*b**3/3 + b**2 + 7*b + 2. Let x be f(-5). What are the prime factors of (x - 57/(-6))*2?
13
Let j(l) = l**2 - 12*l + 15. Let m be j(2). Let x(g) = 4*g - 4. Let y(c) = 3*c - 5. Let u(s) = -3*x(s) + 2*y(s). What are the prime factors of u(m)?
2
Let o = -357 + 519. List the prime factors of o.
2, 3
Let g be (-14)/(((-20)/38)/(-5)). Let q = 194 + g. What are the prime factors of q?
61
Suppose -5253 + 1881 = -12*t. What are the prime factors of t?
281
Let b(o) = 34*o**2 - 5*o - 2. List the prime factors of b(2).
2, 31
Let t be (-6)/(-2)*(-80)/6. Let k = -24 - t. What are the prime factors of k?
2
Suppose 2*j + q + 51 = 0, -j - 2*q - 56 = j. Let i = -20 - j. Suppose 0 = i*f + 6, -3*r + 108 = 2*r - 4*f. What are the prime factors of r?
2, 5
Let c(t) = -6*t**2 - t - 1. Let z be c(-1). Let i be (4/3)/(4/z). List the prime factors of ((-69)/6 + 2)*i.
19
Let x be (2 + 3/(-6))*2. Let l = x + 5. List the prime factors of (-2)/l + 750/24.
31
Let v = 1820 - 771. What are the prime factors of v?
1049
List the prime factors of ((-8406)/(-10))/((-69)/(-230)).
2, 3, 467
Let w(l) = -459*l + 3. List the prime factors of w(-1).
2, 3, 7, 11
Let v(m) = 57*m - 11. What are the prime factors of v(14)?
787
Let y = -11 - -17. Suppose 4*c = y*c - v - 226, 0 = -3*c + 2*v + 341. List the prime factors of c.
3, 37
Let f be (35 - 3) + (-8)/2. Suppose -f - 1 = 3*w - 5*o, 49 = -3*w + o. List the prime factors of 1662/36 + 3/w.
2, 23
Let y = -965 - -1960. What are the prime factors of y?
5, 199
Suppose 244 = 4*k + 88. Suppose 2*v = -0*v + 280. Suppose -3*r = 2*z + k - 120, -5*z + v = -5*r. What are the prime factors of z?
3, 11
Let i(f) = -f**3 + 13*f**2 + 12*f + 30. Let r be i(14). Suppose 0 = r*z - z + 24. Let s = 45 + z. List the prime factors of s.
3, 7
Let l(z) = z - 4. Let t be l(7). Let g be 21/t + -2 - 1. Suppose g*d - 20 = 24. List the prime factors of d.
11
Let i = 142 + -97. Suppose 133 - i = 2*b. What are the prime factors of b?
2, 11
Let o be 4/14 - 6/21. Let c = o + 13. Suppose c = -5*j + 53. What are the prime factors of j?
2
Let g(t) = -t**3 - 10*t**2 - 8*t + 6. Let c be g(-10). Suppose 3*k = k + c. Suppose -4*o + 93 = -k. List the prime factors of o.
2, 17
Suppose -5*g = -h - 27, -4*h - 5*g - 26 - 7 = 0. Let z = -15 - h. Let o(m) = m**2 + 2*m + 2. What are the prime factors of o(z)?
5
Suppose 5*l = -2*a - 17, -3*a + 0*l = -l - 17. List the prime factors of (-19)/(((-20)/210)/(a/6)).
7, 19
Let w = 555 + -260. List the prime factors of w.
5, 59
Suppose -8*c = -3*c + 10. Let k be 1/(c/(-12))*-1. What are the prime factors of (-233)/k + (-8)/(-48)?
3, 13
Let c(q) = -5*q**2 - 30*q - 21. Let v(n) = -4*n**2 - 29*n - 22. Let h(f) = -3*c(f) + 4*v(f). List the prime factors of h(-20).
5, 19
Suppose -26*x = -5093 - 5359. List the prime factors of x.
2, 3, 67
Let w(c) = -5*c**2 - 89*c + 22. List the prime factors of w(-17).
2, 3, 5
Let z(b) = b**3 - 26*b**2 + 19*b - 23. What are the prime factors of z(26)?
3, 157
Let f(n) = -n**3 - 4*n**2 - 2*n - 6. Let g be f(-4). List the prime factors of 2 + g + -8 - -57.
53
Let p(x) = x**3 - 2*x**2 - 14*x. Let j be p(6). What are the prime factors of (4 - 3)*(j - (0 + 0))?
2, 3, 5
Suppose -u - 2 = 1, -5*b + 2596 = -2*u. List the prime factors of b.
2, 7, 37
What are the prime factors of 28/98 | {
"pile_set_name": "DM Mathematics"
} |
der.
1/7, q, 2
Let k = -21/2 + 12. Let w(r) = -r**3 + 10*r**2 + 7*r - 2. Let p be w(10). Let v be 3*(1 + p/(-72)). Sort v, k, -2 in descending order.
k, v, -2
Let t = 2.9 + -0.4. Let q = 0.5 - t. Let y be 1/((-3)/(-5))*-3. Sort y, 0.3, q in descending order.
0.3, q, y
Suppose -4*x + 0*x + 24 = 0. Let a = x + -9. Let c = -8 - -6. Put a, c, 4 in ascending order.
a, c, 4
Suppose 5*a = i + 12 - 4, -3*i = -3*a + 12. Put -19, -4, i in descending order.
i, -4, -19
Let g = 43 - 38. Sort -3, -3/2, 0.2, g in ascending order.
-3, -3/2, 0.2, g
Suppose -4*o + 5*x = 41, 5*o - 38 = -3*x - 117. Let u = -10 - o. Let y(l) = -2*l - 1. Let q be y(1). Sort q, u, -5 in decreasing order.
u, q, -5
Let t be ((-2)/(-6))/((-2)/(-12)). Let b be 3/4*(t + -6). Let a = 2 - 2. Put b, 1, a in decreasing order.
1, a, b
Let i be 9/(-11) + 1 + 0. Suppose 0*c - c - b = 9, 5*c + 4*b = -41. Let d be 2/(-5)*(6 + c). Sort 1, d, i in decreasing order.
1, i, d
Let l = -185 + 176.3. Let v = l - -9. Sort -1/9, v, 2/9 in descending order.
v, 2/9, -1/9
Let d(a) = -a - 5. Let u be d(-3). Suppose -x - 18 = -4*x. Suppose 0 = 2*o + 5*l + 10 + 3, -3*o = -l - x. Put -5, o, u in decreasing order.
o, u, -5
Let q = 9 + 7. Sort -0.1, -1/11, 1, q in ascending order.
-0.1, -1/11, 1, q
Let h = 0.29 + 0.01. Let c = -1977805/13 + 151992. Let p = c + 147. Put p, h, 0 in ascending order.
0, p, h
Suppose -4 + 28 = 8*i. Let j = 0.1 + -0.6. Sort -5/4, j, i in increasing order.
-5/4, j, i
Let t(b) = b**2 + 8*b - 6. Let n be t(-9). Put -4, -3, n in descending order.
n, -3, -4
Let w be ((-24)/(-60))/(38/30 - 1). Let t = -1.6 + 2. Sort t, -2/13, w in descending order.
w, t, -2/13
Suppose 3*a + 4*q - 10 = -2, -5*q + 10 = 0. Sort a, 1, 4 in descending order.
4, 1, a
Let b = 0.02 - -7.98. Let k = b + -14. Let c = k + 3. Put c, 3, 2 in descending order.
3, 2, c
Let b be 1 - 0 - (-29 + 16). Sort -2/9, b, 0.1 in ascending order.
-2/9, 0.1, b
Suppose 0*x - 4 = x. Let d = 0 + 0. Put x, -5, d in descending order.
d, x, -5
Let h = -4 + 4.3. Let n = 1312/9 - 146. Sort h, n, -2 in increasing order.
-2, n, h
Let c = -3.13 + 0.13. Sort c, -5, 4 in decreasing order.
4, c, -5
Let r = 2 - 0. Suppose 4 = -16*g - 44. Put r, g, -1/5 in increasing order.
g, -1/5, r
Let h(b) = b**3 - 9*b**2 - 3*b + 27. Let w be h(9). Sort w, -4, -23.
-23, -4, w
Suppose -5*f = 5*m + 40, 5*m = -0*f + 5*f + 10. Sort 0.3, f, 17 in descending order.
17, 0.3, f
Suppose -11*p + 13 = -12*p - 4*d, 4*p = 3*d - 14. Let n(a) = -a**3 - a**2 + 2*a - 1. Let i be n(1). Sort p, -3, i in ascending order.
p, -3, i
Let k = -179 + 375/2. Let l = 285/34 - k. Sort l, 0.2, 4 in increasing order.
l, 0.2, 4
Let o be (11/66 - 0)*(-6)/(-4). Sort 3/5, o, 7/2 in descending order.
7/2, 3/5, o
Suppose 18 = 2*p + 20. Sort p, -14, -3, -2 in decreasing order.
p, -2, -3, -14
Let b be 29/6*(1 - 4). Let l = b + 15. Put -2/3, -0.2, l in descending order.
l, -0.2, -2/3
Let b = -28 - -18. Sort -0.3, 1/8, b.
b, -0.3, 1/8
Suppose 138 = 5*s - 4*w + 2*w, -5*s + w + 134 = 0. Suppose 5*o - s = -11. Suppose -o*y + 2*y = 0. Put 2, y, -4 in decreasing order.
2, y, -4
Let g = 0 + -4. Suppose -5 = t - 3. Let y be 2*(-4)/16 - (-2)/3. Put y, g, t in increasing order.
g, t, y
Let p = -2.3 - -0.5. Let s = p + 1.8. Put -0.2, s, 0.13 in ascending order.
-0.2, s, 0.13
Suppose -3*f = f - 48. Suppose x - 4 = -2*p, 6*x - 3*x - f = -p. Sort -3, 4, p in increasing order.
-3, p, 4
Let a(n) = -5*n + 8. Let y be a(5). Let c = 18 + y. Put c, -1, -3 in descending order.
c, -1, -3
Suppose -2*f = -4*f + 6. Suppose -4*g - 4 = 5*t - f*t, -5*g = -5*t + 35. Let x(i) = -i**3 - 7*i**2 - 6*i. Let m be x(-6). Put -3, t, m in decreasing order.
t, m, -3
Suppose -3*q = 16 - 22. Sort 0, q, -2 in descending order.
q, 0, -2
Let c be -144 - 6 - 3/1. Let i be (3/c)/((-4)/24). Put 0.3, i, -4 in decreasing order.
0.3, i, -4
Suppose 3 = -v - 3. Sort -2, 7, v.
v, -2, 7
Let y = -0.8 + 0.4. Let j = 1 - 0.7. Put 0, y, j in decreasing order.
j, 0, y
Let f(v) = v - 2. Let q be f(0). Sort 12, 5, q in decreasing order.
12, 5, q
Let k be 6/(-15) + 6/15. Suppose k = -2*u + 7*u + 5. Sort u, -3, -5.
-5, -3, u
Suppose -3 = 5*o + i, 0 = -8*o + 3*o - 3*i + 1. Suppose -5 = -3*a + q + 8, 0 = 4*a - 3*q - 9. Suppose a = s - 3*s. Put s, 3, o in descending order.
3, o, s
Suppose 6*p = p + 20. Suppose 3*i = -p*t + 4, 4*t + 16 = -5*i + 3*t. Sort -2, i, -10 in descending order.
-2, i, -10
Let b be (-30)/44 - 5*(-8)/80. Put 1/6, b, 0.3 in descending order.
0.3, 1/6, b
Let b(m) = -m**3 - 5*m**2 + 6*m. Let v be b(-6). Suppose -2*d + 5 = -5*d + 4*h, 5*d + 5*h - 15 = 0. Let z = -3 - 1. Sort v, z, d in increasing order.
z, v, d
Let q = -4.005 + 0.005. Suppose 2*l - 8 = 6*l. Let h be -1*(l - (-5)/3). Sort h, q, 3 in decreasing order.
3, h, q
Let h = -17.2 - -17. Let u = 4/11 - -10/33. Put -2/3, h, u in decreasing order.
u, h, -2/3
Let i be (-6)/(-4) - (-2)/4. Suppose -2 = -i*d + x + 1, 2 = 3*d - 4*x. Put 1, d, -5 in increasing order.
-5, 1, d
Let t be ((-4)/(-6))/((-1)/3). Suppose 8*p - 8 = 4*p. Sort -0.4, t, p in decreasing order.
p, -0.4, t
Let k = -0.3 + 0.1. Let w = k - -0.3. Let p = -134 - -1472/11. Sort p, w, -1 in descending order.
w, p, -1
Let k(i) = -i**2 - 5*i + 1. Let l be k(-6). Suppose 0*r = -2*u + 4*r - 10, -4*r + 8 = 0. Put u, 2, l in ascending order.
l, u, 2
Suppose -6*a + 10 = -a. Suppose -a*r = -6*r - 8. Let i = -16.1 - -15.1. Put i, 0.1, r in descending order.
0.1, i, r
Let k be (-6*3/6)/((-3)/(-3)). Put 61, 5, k in descending order.
61, 5, k
Let u = 0.15 + -2.15. Let b = u - -1.7. Put 0.3, 0.1, b in increasing order.
b, 0.1, 0.3
Let a(s) = s**2 + 8*s + 8. Let m(f) = f**2 - 3*f + 3. Let p be m(2). Let o be p + -4*(3 + -1). Let q be a(o). Put q, -4, -2 in ascending order.
-4, -2, q
Let p = 2 + -6. Let j(i) = -i**3 + i**2 - 2. Let t be j(-2). Suppose t = -2*c - 0. Put c, -3, p in descending order.
-3, p, c
Let a be -1 + (2 + -26 - -1). Put a, 4, -5 in decreasing order.
4, -5, a
Let q(c) = -c. Let v = 5 - 1. Let x be q(v). Let j = -0.08 + -0.22. Put j, 0, x in descending order.
0, j, x
Let f = -0.11 - 4.89. Suppose -2*w = 2*w + 4. Let n = 0.1 - 0.2. Sort w, n, f in decreasing order.
n, w, f
Let o(f) = -2*f - 15. Let r be o(-10). Put 4, 0, r in descending order.
r, 4, 0
Let j = 22 + -20. Sort -7, -1, j in descending order.
j, -1, -7
Let t be 15/(-10) + 3/(-2). Sort 5, t, -5 in decreasing order.
5, t, -5
Let t = 14.9 + -15.1. Sort 2, -1, t, 5 in increasing order.
-1, t, 2, 5
Suppose -24 = -5*j + 1. Suppose -4*w + 2 + 2 = 0. Put j, -3, w in decreasing order.
j, w, -3
Let i = 15.6 + -16. Put 2/9, 1, i in increasing order.
i, 2/9, 1
Let b = 16 + -16.1. Sort b, 2/21, -1/2.
-1/2, b, 2/21
Let t = 9 + -1. Suppose r = -s - t, 6*r - s = 3*r - 12. Put -3, r, 4 in increasing order.
r, -3, 4
Suppose n + m = 3, -2*n - 6*m + 9 = -3*m. Let y(x) = -x**3 + 6*x**2 - 5*x + 5. Let z be y(5). Suppose -z = q - n. Put 1, q, 4 in ascending order.
q, 1, 4
Let l(s) = 3*s + 17. Let t be l(-4). Let a = -98/3 + 33. Put t, a, -2 in descending order.
t, a, -2
Suppose 5*v + 5*b = 35, -2*v + b + 8 = -0. Let z = 40 + -23. Suppose -3*y - z = -5*i - 6, -5*y = i + 9. Sort -4, v, i in decreasing order.
v, i, -4
Let w = -0.1 + -0.9. Let c = -4 + w. Let l = c - -9. Put -2/13, -5, l in descending order.
l, -2/13, -5
Suppose 2 = 4*i - 5*w - 0, 0 = 5*w + 10. Suppose 0 = -3*t + 2*l - 1 - 13, 2*l + 34 = -3*t. Let a = 8 + t. Sort 4, i, a in descending order.
4, a, i
Let q = -1 + -2. Suppose 2 + 4 = 3*g. Let o = 109 + -982/9. Sort o, g, q in ascending order.
q, o, g
Let v = 0.1 - -0.1. Let w = -208 + 211. Sort w, -2, v.
-2, v, w
Let g(i) = -i**2 - 3*i + 2. Let s be g(-3). Let t(c) = -7*c**2 + 3*c**s + 4*c - c**3 - c**2 - 9 + 1. Let h be t(-6). Put 3, -4, h in increasing order.
-4, 3, h
Let y = -146 - -142. Sort -2/5, 2, y in increasing order.
y, -2/5, 2
Suppose -3*i = i. Suppose -3*k + 7*k + 16 = i. Sort k, -3, -2/11 in increasing order.
k, -3, -2/11
Let r be ((-6)/15)/(104/(-3004)). Let x = r + -57/5. Let m be ((-3)/4)/(0 - -3). Sort x, m, -5 in ascending order.
-5, m, x
Suppose 3*x + 4 = 2*a, -3*x - 5 = -3*a + 2*x. Suppose 0 = -i + 3*i. Sort 4, i, a in descending order.
a, 4, i
Let d = 0.29 - -4.71. Let a = 0.02 - 2.02. Put 2/7, d, a in increasing order.
a, 2/7, d
Let a be 1/(-2*4/24). Let s = - | {
"pile_set_name": "DM Mathematics"
} |
*o + 5 + 27. What are the prime factors of o?
11
Let m(z) = -z**2 + 6*z + 1. Let f be m(6). Suppose -5 - 7 = 4*p. List the prime factors of f/(p/(-48))*1.
2
Suppose -2*p = 2*q - 86, 4*p = 3*p + 5*q + 19. What are the prime factors of p?
3, 13
Let n(c) = c**3 + 6*c**2 - 8*c - 6. List the prime factors of n(-6).
2, 3, 7
Let j = -6 - -10. Let x = 20 - j. List the prime factors of x.
2
Suppose -5*t + 83 - 8 = 0. What are the prime factors of t?
3, 5
Let n be -1 + 1 - (0 - 0). Suppose -4*h + 27 - 7 = n. List the prime factors of h.
5
Let l(c) = c**2 + 3 - 1 + 0 - 2*c + 0*c**2. What are the prime factors of l(2)?
2
Suppose -11 - 21 = 4*q. Let h be 38*2*1/4. Let y = q + h. List the prime factors of y.
11
Let l be (12/15)/((-1)/(-5)). List the prime factors of l/10 - (-159)/15.
11
Let z = 2 + 3. Suppose 0 = a + z*c + 19, 2*a + 5*c = -0*a - 18. What are the prime factors of a/(-2) - (-147)/14?
2, 5
Let u(z) = 0*z**2 + 5*z**2 - 4 - 6*z**2 + 3*z. Let k be u(-5). Let c = 62 + k. List the prime factors of c.
2, 3
Suppose 2*g + r = -6, g + 9 = 2*r + 1. Suppose 5*u - 15 = 0, u = 4*v - v + 12. List the prime factors of (0 + 1)*g*v.
2, 3
Let i(t) = 2*t**2 + 9*t + 1. List the prime factors of i(-6).
19
Let n(o) = -5*o**3 - 3*o**2. What are the prime factors of n(-2)?
2, 7
Let u(f) = -8 + 2 - 9*f - 2 + 0*f**2 - f**2. List the prime factors of u(-7).
2, 3
Let u(s) = -s + 13. Let v be u(-9). Suppose -5*y - v = -6*y. List the prime factors of y.
2, 11
Suppose 5*z + 2 = -3. Let x = z + 3. Suppose 0 = -3*g - 6, -x*s + 3*s - 11 = g. List the prime factors of s.
3
Suppose 0 = -2*k - 5 - 9. Let i = k + 3. List the prime factors of (i/(-3))/(2/30).
2, 5
Suppose 3*j = 4*u - 225, j - 119 = -2*u - 4*j. Suppose 4*x = 3*k - 0*x - u, -2*k = -x - 43. What are the prime factors of k?
23
Suppose 3*z + 2*n = 159, 0*z - 2*z + 5*n + 106 = 0. List the prime factors of z.
53
Let f be 6/1*(-15)/(-2). Suppose -t = -c - 5*t - 15, 4*c - 5*t = f. What are the prime factors of c?
5
Let g(i) = 4*i - 15. List the prime factors of g(16).
7
Let m = 16 - 7. Let y = m + 0. List the prime factors of y.
3
Suppose -323 = -2*z - g, -g + 2*g + 3 = 0. List the prime factors of z.
163
Let k = 55 + 30. What are the prime factors of k?
5, 17
Suppose 312 = -8*r + 11*r. List the prime factors of r.
2, 13
Let m = 57 + -31. Suppose -7*x + m = -5*x. What are the prime factors of x?
13
Let m(n) = -n**3 + n**2 + 17. Let a(s) = -s**2 - 5*s + 1. Let q be a(-4). Suppose 3*y + 10 + q = 5*f, 0 = -5*y + 4*f - 12. What are the prime factors of m(y)?
17
Let t(d) = -d**3 - 11*d**2 - 13*d - 2. Suppose -3*l + 9 - 39 = 0. Let c be t(l). Suppose -5*o + c = -o. List the prime factors of o.
7
Let i(o) = -3*o**3 + 3*o**2 + 2*o + 3. Let g(w) = -w**3 - w**2 + w. Let j(b) = -4*g(b) + i(b). List the prime factors of j(-7).
17
What are the prime factors of 21*((-50)/(-15) - -3)?
7, 19
Let u = 16 - 1. Suppose 5*o + u = 0, -3*w - w - 4*o = -36. What are the prime factors of (-3)/w - (-77)/4?
19
Let f(v) = 2*v. Let o be f(2). Suppose -o*p - 23 + 67 = 0. List the prime factors of p.
11
List the prime factors of 6*(3 - (-55)/10).
3, 17
Let p = 488 + -206. What are the prime factors of p?
2, 3, 47
Let c be (-2)/5 + 561/15. Let i be 16 + ((-4)/(-2))/2. Let q = c - i. List the prime factors of q.
2, 5
Suppose 0 = -3*r + 4*p + 53, -19 - 81 = -4*r - 2*p. Let x = r + 8. List the prime factors of x.
31
Let o(z) = -z**3 + 4*z**2 + 2*z - 6. Let r be o(4). Suppose 0*m = 2*m - r, 4*t = -m + 57. What are the prime factors of t?
2, 7
Suppose -2*d + d + 3 = 0. Suppose -d*o - 2*j + 8 = -2*o, 5*o + 3*j - 19 = 0. What are the prime factors of o?
2
Suppose -h - 69 = -4*h. What are the prime factors of h?
23
Let r(t) = -4*t + 7. What are the prime factors of r(-6)?
31
Suppose 3*p - x - 135 = 0, -6*p = -p - 3*x - 221. What are the prime factors of p?
2, 23
Suppose -4*a + 3*a - 56 = -2*y, -2*y = -4*a - 68. What are the prime factors of y?
2, 13
Suppose 12 - 4 = 4*w, -4*w - 832 = -3*x. What are the prime factors of x?
2, 5, 7
Let a(u) be the second derivative of -u**4/12 + u**3 + 3*u**2 + 2*u. Let m be a(6). Let d = m + 2. List the prime factors of d.
2
What are the prime factors of (135/18)/(6/32)?
2, 5
Let n = 11 + -11. Suppose -4*u + 4 + 12 = n. Suppose 3*v - 41 = u*o, -v - 5*o - 11 = -50. What are the prime factors of v?
19
Let r be 1/5 - (-164)/(-20). What are the prime factors of ((-14)/r)/(2/16)?
2, 7
Suppose v + 2*t = -2*t + 6, 4*v - 2*t - 24 = 0. Let x be (-115)/(-25) - v/10. What are the prime factors of ((-12)/9)/(x/(-6))?
2
Suppose -t - n + 281 = 0, 4*n + 293 = 3*t - 557. What are the prime factors of t?
2, 3, 47
Let q = 1 - -1. Suppose -97 = -3*z + q*p, 5*p = -2*z + 3*p + 58. List the prime factors of z.
31
Suppose 0 = -s + 6*s + o - 1046, 3*s - 2*o = 625. Suppose 54 - s = -5*w. List the prime factors of w.
31
List the prime factors of ((-4)/(48/(-114)))/(1/10).
5, 19
Let x be (-10)/(-2 - 6/(-4)). Let v = 9 + x. List the prime factors of v.
29
Let r(f) = f**2 + 5*f - 6. Let y be r(-6). Let h be y + 14*7 + -2. Suppose -5*s = -4*g - h, 5*g = 2*s - 0*s - 52. List the prime factors of s.
2
Suppose -3*g + 222 = 2*j + j, -4*j + g + 271 = 0. List the prime factors of j.
3, 23
Let z = 404 - 195. What are the prime factors of z?
11, 19
Let v = 4 - 9. List the prime factors of v/10 + (-10)/(-4).
2
Let t be ((-27)/6)/(3/(-4)). Suppose 0*i + 258 = t*i. What are the prime factors of i?
43
Let o be (1 - (-3 - -1)) + -3. What are the prime factors of (o + 3)/3*17?
17
Let u be 36/(-2) - 10/(-5). What are the prime factors of (-2)/((u/4)/28)?
2, 7
Let n(f) = f**2 + 10*f + 9. Suppose -5*k = -12 - 3, 56 = -5*d + 2*k. What are the prime factors of n(d)?
3
List the prime factors of 573/6 + (-6)/(-4).
97
Let n(g) = 2*g**2 - g. Let w be n(-4). Suppose 5*u - w - 39 = 0. List the prime factors of u.
3, 5
List the prime factors of (11/2)/(17/34).
11
Let g(m) = m**2 - m. Let z(a) = a**2 - 7*a - 3. Let y(f) = -2*g(f) + z(f). Let w(o) = -o + 3. Let q be w(6). List the prime factors of y(q).
3
Let p(c) = c**3 + c**2 + c + 38. Let l be p(0). Suppose 0 = o - 4*r - l, r + 158 = -0*o + 3*o. What are the prime factors of o?
2, 3
Let j = -8 + 12. Suppose 2*v + n - 13 = -0*v, 2 = v - j*n. List the prime factors of v.
2, 3
Let m(g) = g. Suppose 0 = 2*z - z - 7. Let p be m(z). Suppose 0 = 5*i - 4*k - 56, -4*i + 4*k - p = -51. List the prime factors of i.
2, 3
Suppose a = -0*a + 5, -5*z + 40 = 3*a. Suppose -172 = -z*d + 38. Suppose -4*x = -d + 10. What are the prime factors of x?
2
Let i(w) = -21*w - 7. What are the prime factors of i(-4)?
7, 11
Suppose 5*x + 20 = 0, 49 = 3*d - 5*x - 13. List the prime factors of d.
2, 7
Suppose 6 = 3*i + 78. Let p = i + 40. What are the prime factors of p?
2
Suppose -3*n = -4*g - 8*n + 104, 17 = g - n. List the prime factors of g.
3, 7
Let w(x) = -x**3 - 6*x**2 - 10*x - 11. Let h(a) = -a**3 + a**2 + a - 1. Let y(i) = 2*h(i) - w(i). List the prime factors of y(9).
2, 3
Suppose 0 = -h + 2*h - 3. Suppose -h*r + 24 = r. List the prime factors of r.
2, 3
Suppose -2*s = -3*j + 4*j - 50, 5*j - 58 = -2*s. What are the prime factors of s?
2, 3
Suppose -35*b + 38*b - 282 = 0. What are the prime factors of b?
2, 47
Suppose 0 = 3*h - 404 - 145. List the prime factors of h.
3, 61
Let g(n) = -n**2 + 4*n + 4. Let b be g(4). Suppose -22 = -b*s + 2*s. Let k = 15 - s. What are the prime factors of k?
2
Suppose -12 - 9 = -3*c - 3*b, c = -3*b + 15. Let r(w) = 2*w**2 - 5*w + 3. Let s be r(c). Let k = s - 3. What are the prime factors of k?
3
Let q be (-11)/2*(7 - 5). Let i(y) = -y**3 - 10*y**2 + 8*y - 14. List the prime factors of i(q).
19
Let a(d) = -d**2 - d + 1. Let t(r) = -r**2 - 9*r - 4. Let h(p) = -2*a(p) + t(p). Let g be h(-4). Suppose -u + g = 3*w, -2 = -u + 3. List the prime factors of w.
11
Let k = 6 - -53. List the prime factors of k.
59
What are the prime factors of (-1)/3*1 - 271/(-3)?
2, 3, 5
Suppose -f = -3*k + 29, -4*f - 2*k - 39 = 7. Let v be f/(-6) + (-2)/(-3). Suppose b = -d + 24 - v, -4*b = 5*d - 100. List the prime factors of d.
2
Let x(z) = 6*z + 2. Suppose -6*k - 4*p = -2*k, -2 = k + 2*p. List the prime factors of x(k).
2, 7
Suppose 2*c = -c + 6. Suppose -4*a - 80 = -4*p, -48 = -2*p - 0*a - c*a. List the prime factors of p.
2, 11
List the prime | {
"pile_set_name": "DM Mathematics"
} |
ent values?
True
Let b = 7773 + -9004. Which is smaller: 3 or b?
b
Let b = -55 + 57. Suppose -2*w - w = -b*r - 21, -2*w + 14 = 5*r. Is 2 at most w?
True
Suppose 15 = -5*t, 4*v - 31 = -v + 2*t. Suppose 2*r = -10*i + v*i + 23, 3*r - 12 = 0. Let n be i/52*(-12 - -4). Is n smaller than 3?
True
Suppose -3*j + 3 = 6. Let y be 1/(0 - (j - 0))*-3. Which is bigger: y or -38/11?
y
Let s(c) = 5*c + 20. Let u be s(-4). Suppose u = 4*n + d + 183, 2*d - 3*d + 52 = -n. Is n less than -44?
True
Let b(t) = t - 15. Let v be b(15). Suppose -m = -2*p + 5*p + 70, v = -p - 3*m - 26. Is 1 >= p?
True
Let t = 13763 + -12122. Which is greater: 3 or t?
t
Let b be ((-1)/38)/(26/(-176 - -20)). Which is smaller: -1/2 or b?
-1/2
Suppose -24*w + 70 = -19*w. Suppose -4 = -w*o + 10. Which is greater: -1/163 or o?
o
Let m = -246245/3 + 82083. Let t = 1 + 5. Let s be (1 + -1)/(t/(-3)). Which is smaller: m or s?
s
Let u be 12*3/(26 + 19). Which is smaller: u or 2?
u
Suppose -2*x - x = -2*h - 18, -3*x = 3*h + 12. Let d be 16/(-6)*(-9)/h + 9. Suppose -j = q - 29, -4*q - 36 = -d*j - 197. Are q and 35 nonequal?
True
Let z(n) = 9*n + 11. Let g be z(-2). Let d(k) = 4*k**2 + 28*k. Let f be d(g). Which is greater: 4/55 or f?
4/55
Let b(u) = -25*u**2 - 280*u - 167. Let k be b(13). Do -8033 and k have the same value?
False
Let g = -10809/7 + 1547. Let x = g - 47/14. Is x smaller than -85?
False
Suppose 0 = -s + 2*w + 58, -5*s + 2*s - w + 188 = 0. Suppose 0 = -3*p - 3*j + 12, p - j = -4*j + 4. Suppose 5*o - s = p*o. Is 61 smaller than o?
True
Let x be -12 + 15 + (-6)/2. Let m(u) = -6*u + 27. Let k be m(x). Is k >= 26?
True
Let y be -7 + ((-18717)/12 - 1). Let w = y - -351179/224. Which is smaller: 0 or w?
0
Let m(j) = -j**2 + 4*j - 31. Suppose i - 9*i = -24. Let b be (-7)/(-2)*(i + -5)*-1. Let r be m(b). Which is smaller: -53 or r?
-53
Suppose 2*w - a - 18 = 1, 0 = -4*w + 4*a + 48. Let k be 6 - -8*(-4)/(-8). Let c = -4 + k. Which is bigger: c or w?
w
Let u = -31196 - -35483. Which is bigger: -0.1 or u?
u
Let j = 3876 + -3861. Let b be 3/(-6) + (-394)/(-28). Is j greater than or equal to b?
True
Let b = -0.041 + -39.959. Let w = 38.1 + b. Let t = w + 2.1. Is -0.21 not equal to t?
True
Suppose -123 - 184 = -q - u, -589 = -2*q + 3*u. Is 302 <= q?
True
Let t(r) = 35. Let z(v) = v + 141. Let x(o) = -9*t(o) + 2*z(o). Let f be x(17). Do f and -4/31 have the same value?
False
Let h be (4 + (184/(-20) - -4))/(48/(-64)). Which is greater: h or 1.5?
h
Suppose -153*i = 204910 + 20918. Do -1476 and i have the same value?
True
Let z be 42/(-3) - 1580/(-110). Is z bigger than -1.4?
True
Let b = 8202 - 8201. Which is bigger: -3/1706 or b?
b
Suppose 5*l - 2*x = 102, 15*x - 18*x + 72 = 5*l. Which is greater: l or 239?
239
Let m = 2688/5 - 35224/65. Is -2/7 != m?
True
Let q = 2690 + -5878. Is q greater than or equal to 1/4?
False
Suppose -102*g = -94*g. Suppose 9*k - 137 + 47 = g. Let x be 73*1/6 + -2. Which is smaller: x or k?
k
Let x(b) be the third derivative of 5*b**4/24 + 45*b**3/2 - b**2 - 88*b. Let s be x(-23). Which is bigger: 16 or s?
s
Let t be (40/(-2680))/(5 + -1). Which is greater: 0 or t?
0
Let x = -46 - -46. Suppose 4 = -x*r + r. Is r >= 14?
False
Suppose -5*j + 3*u + 10 = 0, 3*u + 17 = -25*j + 23*j. Which is greater: 2/24307 or j?
2/24307
Suppose 224 = -0*s - 8*s. Let l be s/98 - 59/14. Let n(p) = 2*p + 6. Let z be n(-5). Is l != z?
True
Suppose -2*b + 2*o = -16, -7*o = -5*b - 3*o + 36. Let r be (4/48*388)/(2/6). Suppose b*t = -6*g + g + r, -3*t + 2*g = -67. Is 23 less than or equal to t?
True
Let m = -0.253 - -326.253. Let i = -457 + m. Is i < -1/4?
True
Let f = -1451404633/9673 + 150047. Which is smaller: 0 or f?
f
Let d be 5 + (5 - (2 - 5)). Suppose d*q = -50 - 314. Does -28 = q?
True
Let x be (-42)/(15/550*5). Let l be 5060/x*8/(-10). Is 14 at least as big as l?
True
Suppose 2*p + 26 = 90. Let j = 11647/360 + -83/72. Are p and j equal?
False
Let w = -132 + 135. Let v be ((-4)/w)/((-5)/120). Which is bigger: 30 or v?
v
Suppose -11*j + 27*j = 12*j - 4. Let n(w) = -145*w + 3. Let m be n(6). Let o = m - -40747/47. Is o bigger than j?
True
Let n be 152/24 - 6 - 142/(-6). Let c = 48 - n. Let j be c/(-30) - 2/10. Is -2/171 at least j?
True
Let s = 2.1266 - 633.3466. Let h = s + 631. Which is bigger: h or 1/7?
1/7
Let g be ((1215/(-6))/5)/((-272)/544). Does g = 2204/27?
False
Let p(h) = h**3 - 13*h**2 + 6*h - 9. Let i be p(13). Suppose 9*v + 24 = i. Let t(f) = -f**2 + 11*f + 61. Let l be t(15). Which is greater: v or l?
v
Let l(k) = -15*k**2 - 331*k - 667. Let t be l(-2). Is -127/2 greater than t?
True
Let i = 6.6907 - 6.66. Let j = -0.1417 + i. Which is greater: -0.2 or j?
j
Let y = -11 - -8. Let b be y/2*(-88)/(-18). Let f be 1*(-52 + (-1980)/(-45)). Which is greater: f or b?
b
Let j(t) = -t**2 - 4*t - 2. Let o(u) = -u + 5. Let w be o(8). Let h be j(w). Let k be (-4)/(-14) + 6/(-231)*11. Does k = h?
False
Let j = -344 + 348. Let s be (j/(-8))/((-44)/144*3). Suppose 0 = 2*w - 0*w. Is w not equal to s?
True
Let c = 0.1 - 0.1. Let j be (1/2091)/((-1373)/229 - -6). Let d = j + 1/123. Which is bigger: d or c?
d
Let b be (6/(-12))/(2/8). Let u be (-11)/b*24/(-16). Is -9 at most u?
True
Let g = -1868.22 - -1864.34. Let d(y) = -y. Let p be d(0). Is p at most g?
False
Suppose 0 = -j + 3*b + 11, -2*j + 3*b + 28 = 3. Let l be j/56 - (262/120 - 1). Which is bigger: l or -1?
l
Let u = -244 - -133. Let n = 55 + u. Let p be (-35)/n*(-3)/(-5). Are p and -1 equal?
False
Let n(i) = -4*i**3 - 15*i**2 + 125*i - 1005. Let t be n(11). Is t less than -6768?
True
Let p(d) = -d**3 + 16*d**2 - 9*d - 3. Let o be p(12). Suppose o + 2155 = 2*s. Let b be s/70 + (-1)/((-7)/2). Which is bigger: b or 17?
b
Let r = -91 + 119. Suppose -r + 43 = -15*z. Is z at most 2/195?
True
Let q = 2.37 + -7.87. Let l = q + 6.3. Which is smaller: l or 0.15?
0.15
Let o(q) = q**3 - 165*q**2 + 11*q - 1357. Let k be o(165). Is k less than or equal to 456?
False
Let d be (-55)/15 + 2/(-6). Let k be (-15)/d + -2 + -3. Suppose -39 + 15 = 24*c. Which is greater: c or k?
c
Let a be 2/(-4 + 10/3). Let j be ((-12)/32)/(a/11). Suppose i + i + 1 = -5*h, -3*i + 10 = -4*h. Is i bigger than j?
True
Let c = -2686 + 67149/25. Is c bigger than -175?
True
Let s = 6920 + -6906. Which is greater: s or -1/4?
s
Suppose 175*z = 358*z - 174*z - 18. Which is smaller: z or -3271/5?
-3271/5
Let g = 0.295 - -0.705. Suppose 0 = 2*f, k - 98 = 5*f + 72. Let w be (8 - 8) + (k/12)/(-5). Which is smaller: w or g?
w
Let j be 1 - 0 - (-30)/2. Let g be (15 - (3 - 9))/1. Let k = -6 + g. Which is greater: k or j?
j
Let x(g) = -18*g - 17. Let y be x(-1). Let k = y - -21. Is 11 less than or equal to k?
True
Let o be -10 - (9 + (-308)/19 - 3). Which is greater: o or 4?
4
Let f = -14 + 14. Let u = -6/1237 - -15126/58139. Which is smaller: u or f?
f
Let h = -24 + 17. Let y(u) = -u + 1. Let l(t) = 4*t - 11. Let p(d) = l(d) + 5*y(d). Let k be p(h). Which is smaller: -1/5 or k?
-1/5
Let a = 26581182458654/14202781657299 - -2/2321095221. Let t = 3856/3 + -111662/87. Let x = a - t. Is 0 equal to x?
False
Let w = -2109 - -1182. Is w at most as big as -927?
True
Let b = 177385/12 + -14782. Which is bigger: -4/25 or b?
b
Let t = 0.003 + 20.997. Let n = -21.06 + t. Suppose -26 = -7*v + 2. Is n at most as big as v?
True
Let g = -339651 - -339650.7. Let p = -38.969 - -39. Is p less than or equal to g?
False
Let c = -32371756/72443 + 12/10349. Which is greater: -446 or c?
-446
Let l be 12/(-10)*(-393540)/126. Is 3748 not equal to l?
False
Let k = 11.598 + 0.002. Let q = k - 11.715. Let i = q + -1.885. Do -0.1 and i have the same value?
False
Suppose 11*m - 47*m + 18*m - 6444 = 0. Is -3232/9 greater than m?
False
Let o = 2993 + 23. Is o equal to 0.1?
False
Suppose -12*c + 58*c = -250746. Is c != -5451?
False
Let i(u) be the second derivative of u**5/20 + u**4/3 + u. Let d be i(-4). Suppose 24 = -3*r + 82*a - 86*a, r = 5*a + 30. Is r bigger than d?
False
Suppose -5*t - 48 = -21*t. Let u be (-409)/t + 48/(-72). Which is greater: 1 or u?
1
Let s be (-4)/(-109)*(-3)/(-6). Suppose -n - 28 = -2*d, 12 = -5*n - 8. Suppose 20 = -5*w, 0 = -6*x + 2*x + 4*w + d. Which is bigger: s or x?
s
Let d = 345304 - 345321. Suppose -q = 3*q - 36. Which is greater: q or d?
q
Suppose w - 7 = -5*m, -2*m + 8 = -2*w - 2. Sup | {
"pile_set_name": "DM Mathematics"
} |
461512625, 1461512624?
-x + 1461512629
What is the m'th term of -94713, -189392, -284039, -378660, -473261, -567848, -662427, -757004?
-m**3 + 22*m**2 - 94738*m + 4
What is the u'th term of 228028, 227970, 227912, 227854, 227796?
-58*u + 228086
What is the m'th term of 1167609, 2335210, 3502811, 4670412, 5838013?
1167601*m + 8
What is the v'th term of -273619, -273681, -273743, -273805, -273867, -273929?
-62*v - 273557
What is the s'th term of -57355, -56314, -54579, -52150, -49027?
347*s**2 - 57702
What is the j'th term of -24649, -24718, -24819, -24952?
-16*j**2 - 21*j - 24612
What is the s'th term of 72785, 143025, 213265?
70240*s + 2545
What is the h'th term of 2613216, 5226340, 7839462, 10452582?
-h**2 + 2613127*h + 90
What is the q'th term of -13493, -12879, -12265, -11651, -11037?
614*q - 14107
What is the p'th term of 93248, 186529, 279808, 373085?
-p**2 + 93284*p - 35
What is the s'th term of 2490019, 2489962, 2489905, 2489848?
-57*s + 2490076
What is the z'th term of 1107476, 1107506, 1107536?
30*z + 1107446
What is the z'th term of -2928, -10824, -23968, -42348, -65952, -94768, -128784, -167988?
2*z**3 - 2636*z**2 - 2*z - 292
What is the a'th term of -2085, -1664, -1243, -822?
421*a - 2506
What is the a'th term of -347013, -348753, -350493, -352233, -353973?
-1740*a - 345273
What is the o'th term of -14640, -28286, -41914, -55518, -69092?
o**3 + 3*o**2 - 13662*o - 982
What is the y'th term of 34398, 68698, 102998, 137298?
34300*y + 98
What is the t'th term of -19672526, -19672525, -19672522, -19672517, -19672510, -19672501, -19672490?
t**2 - 2*t - 19672525
What is the s'th term of 6034, 11969, 17934, 23941, 30002, 36129, 42334?
2*s**3 + 3*s**2 + 5912*s + 117
What is the k'th term of 26736, 26770, 26816, 26868, 26920, 26966, 27000, 27016?
-k**3 + 12*k**2 + 5*k + 26720
What is the q'th term of 27, 97, 327, 819, 1675, 2997?
17*q**3 - 22*q**2 + 17*q + 15
What is the u'th term of -119906, -120080, -120376, -120800, -121358, -122056, -122900?
-u**3 - 55*u**2 - 2*u - 119848
What is the k'th term of -14628043, -14628016, -14627985, -14627950?
2*k**2 + 21*k - 14628066
What is the v'th term of 27118, 108476, 244072, 433906?
27119*v**2 + v - 2
What is the g'th term of -47, 522, 1519, 2944, 4797?
214*g**2 - 73*g - 188
What is the f'th term of 3987, -5245, -14477, -23709, -32941?
-9232*f + 13219
What is the c'th term of -45967, -45979, -46011, -46069, -46159, -46287?
-c**3 - 4*c**2 + 7*c - 45969
What is the g'th term of -25811, -106418, -240761, -428840, -670655?
-26868*g**2 - 3*g + 1060
What is the j'th term of -94547, -93932, -93317?
615*j - 95162
What is the b'th term of 762014, 1524025, 2286036, 3048047, 3810058?
762011*b + 3
What is the u'th term of -57584, -57814, -58044, -58274, -58504?
-230*u - 57354
What is the o'th term of -607970519, -607970517, -607970515?
2*o - 607970521
What is the q'th term of 1001, 1350, 1747, 2216, 2781, 3466, 4295, 5292?
4*q**3 + 321*q + 676
What is the u'th term of 1974655, 3949313, 5923971, 7898629, 9873287, 11847945?
1974658*u - 3
What is the v'th term of 40053, 40267, 40481, 40689, 40885?
-v**3 + 6*v**2 + 203*v + 39845
What is the k'th term of -459250, -459256, -459262, -459268?
-6*k - 459244
What is the l'th term of 871745, 871752, 871757, 871760, 871761, 871760?
-l**2 + 10*l + 871736
What is the k'th term of -2930, -3056, -3202, -3368, -3554, -3760, -3986?
-10*k**2 - 96*k - 2824
What is the l'th term of 309, 547, 1281, 2757, 5221, 8919, 14097, 21001?
41*l**3 + 2*l**2 - 55*l + 321
What is the w'th term of -3902493, -3902551, -3902609, -3902667, -3902725?
-58*w - 3902435
What is the o'th term of -1458922083, -1458922081, -1458922079?
2*o - 1458922085
What is the b'th term of 30701310, 30701434, 30701640, 30701928?
41*b**2 + b + 30701268
What is the k'th term of -12869515, -25739047, -38608579, -51478111, -64347643?
-12869532*k + 17
What is the d'th term of 296280, 592573, 888868, 1185165, 1481464?
d**2 + 296290*d - 11
What is the r'th term of -542, -1342, -1760, -1604, -682, 1198, 4228?
32*r**3 - r**2 - 1021*r + 448
What is the h'th term of -94099, -94096, -94077, -94030, -93943, -93804, -93601?
2*h**3 - 4*h**2 + h - 94098
What is the q'th term of -23907, -46585, -69263, -91941, -114619?
-22678*q - 1229
What is the i'th term of -274, -88, 132, 404, 746, 1176, 1712?
3*i**3 - i**2 + 168*i - 444
What is the j'th term of 40740, 89358, 137976?
48618*j - 7878
What is the i'th term of 1313, 2552, 3787, 5018, 6245, 7468?
-2*i**2 + 1245*i + 70
What is the v'th term of -174, -1427, -4788, -11295, -21986, -37899?
-173*v**3 - 16*v**2 + 6*v + 9
What is the y'th term of -231704, -463368, -694988, -926564, -1158096, -1389584?
22*y**2 - 231730*y + 4
What is the o'th term of 16386, 65569, 147544, 262311, 409870, 590221, 803364?
16396*o**2 - 5*o - 5
What is the w'th term of 137985, 140697, 143419, 146157, 148917, 151705, 154527, 157389?
w**3 - w**2 + 2708*w + 135277
What is the k'th term of 669, -374, -3155, -7674, -13931, -21926?
-869*k**2 + 1564*k - 26
What is the j'th term of -2083, -8864, -20383, -36640, -57635, -83368?
-2369*j**2 + 326*j - 40
What is the b'th term of -27738, -55597, -83502, -111459, -139474?
-b**3 - 17*b**2 - 27801*b + 81
What is the y'th term of -5138, -9893, -14648?
-4755*y - 383
What is the t'th term of 474878, 1899682, 4274362, 7598924, 11873374, 17097718?
t**3 + 474932*t**2 + t - 56
What is the c'th term of 36193, 78140, 120087, 162034, 203981, 245928?
41947*c - 5754
What is the w'th term of -156786, -313659, -470520, -627363, -784182, -940971, -1097724, -1254435?
w**3 - 156880*w + 93
What is the z'th term of -3473334, -3473470, -3473606?
-136*z - 3473198
What is the v'th term of -164523, -328929, -493335?
-164406*v - 117
What is the p'th term of 8892, 8613, 8148, 7497?
-93*p**2 + 8985
What is the n'th term of 131392, 262779, 394154, 525511, 656844, 788147, 919414?
-n**3 + 131394*n - 1
What is the f'th term of 2207, 2134, 2015, 1850, 1639, 1382, 1079?
-23*f**2 - 4*f + 2234
What is the j'th term of -4155, -3887, -3599, -3291, -2963, -2615?
10*j**2 + 238*j - 4403
What is the y'th term of 7056, 12631, 18206, 23781, 29356?
5575*y + 1481
What is the c'th term of 340157, 340153, 340149, 340145?
-4*c + 340161
What is the k'th term of -130814, -130811, -130820, -130841?
-6*k**2 + 21*k - 130829
What is the t'th term of 327, 378, 411, 414, 375, 282, 123?
-2*t**3 + 3*t**2 + 56*t + 270
What is the c'th term of -118862, -237741, -356636, -475547, -594474, -713417?
-8*c**2 - 118855*c + 1
What is the q'th term of -432686801, -865373603, -1298060407, -1730747213, -2163434021, -2596120831, -3028807643?
-q**2 - 432686799*q - 1
What is the z'th term of -22, -127, -270, -409, -502, -507, -382, -85?
7*z**3 - 61*z**2 + 29*z + 3
What is the m'th term of -1462896, -1462901, -1462906, -1462911, -1462916?
-5*m - 1462891
What is the t'th term of 655214933, 655214931, 655214929?
-2*t + 655214935
What is the o'th term of -4544, -5337, -7516, -11783, -18840, -29389, -44132?
-117*o**3 + 9*o**2 - o - 4435
What is the u'th term of 783862, 1569494, 2355126, 3140758?
785632*u - 1770
What is the u'th term of -156, 32, 324, 714, 1196?
-u**3 + 58*u**2 + 21*u - 234
What is the j'th term of -174, -869, -2710, -6255, -12062?
-93*j**3 - 15*j**2 + j - 67
What is the a'th term of 55504056, 111008113, 166512170?
55504057*a - 1
What is the o'th term of 1606199, 6424659, 14455427, 25698503, 40153887?
1606154*o**2 - 2*o + 47
What is the h'th term of 6688, 13756, 20834, 27928, 35044, 42188, 49366?
h**3 - h**2 + 7064*h - 376
What is the a'th term of 343075128, 343075125, 343075122?
-3*a + 343075131
What is the w'th term of -134100, -538473, -1212428, -2155965, -3369084, -4851785?
-134791*w**2 + 691
What is the r'th term of 13255, 26460, 39643, 52792, 65895?
-2*r**3 + r**2 + 13216*r + 40
What is the l'th term of 130434, 521712, 1173842, 2086824, 3260658, 4695344, 6390882?
130426*l**2 + 8
What is the z'th term of -15203801, -15203808, -15203815, -15203822?
-7*z - 15203794
What is the q'th term of -104, -467, -892, -1385, -1952, -2599?
-q**3 - 25*q**2 - 281*q + 203
What is the w'th term of 7341, 6917, 6493, 6069, 5645?
-424*w + 7765
What is the o'th term of -705342, -705354, -705374, -705402, -705438, -705482, -705534?
-4*o**2 - 705338
What is t | {
"pile_set_name": "DM Mathematics"
} |
pose -s*q = -4*q - 16. What are the prime factors of q?
2
Let m(a) = a**3 + 13*a**2 - 16*a + 8. Let r be (-2 - 14) + (-10)/(-5). List the prime factors of m(r).
2, 3
Let f(b) be the first derivative of b**4/2 + 2*b**3/3 - b**2/2 - 3. Let m = -3 + 4. What are the prime factors of f(m)?
3
Let k = -57 - -119. Let b = 106 - k. List the prime factors of b.
2, 11
Suppose w = -5*j + 26, -4*w - 4 = -j - 3. Let d be -10*-2*w/2. List the prime factors of -2 - ((-6)/(-3) - d).
2, 3
Let r be 1/2*(-5 - -5). Suppose r = -f + 3*f - 66. What are the prime factors of f?
3, 11
Let n(m) = -2*m**3 - 19*m**2 + 4*m - 17. Let z(u) = -u**3 - 10*u**2 + 2*u - 9. Let g(w) = -4*n(w) + 7*z(w). What are the prime factors of g(-5)?
2, 5
Let g be 2*(2 - 0/1). Suppose g*i - 2*i = 54. List the prime factors of i.
3
Suppose 0 = -2*t - 10, 4*t + 156 = -5*a + 16. Let g = a + 39. List the prime factors of g.
3, 5
Let p be (-3)/5 + 28/(-20). Let k = p - -26. What are the prime factors of k?
2, 3
Let d(m) = -m**3 + 4*m**2 - 4*m + 3. Let h be d(2). Suppose h*b + 30 = 6*b. What are the prime factors of 5/25 + 18/b?
2
Suppose 0 - 3 = -3*r. Let c be 1 + 3 + 0/r. Suppose -2*k - 5 = -3*k, c*k - 9 = o. List the prime factors of o.
11
Suppose -163 = 19*f - 2329. List the prime factors of f.
2, 3, 19
Let a = -2 - -2. Suppose a*t - 10 = -2*t. List the prime factors of t.
5
Let x be (-16)/(-2) - (0 - 0). Suppose -5*i + x + 17 = 0. Suppose 2*y = i*b - 48, 2*y = b + y - 12. List the prime factors of b.
2
Suppose -3*i = -0*i - 132. List the prime factors of i.
2, 11
List the prime factors of (25/4 - 1)*4.
3, 7
Let z be (9*5)/(3 + -2). List the prime factors of ((-3)/5)/((-9)/z).
3
List the prime factors of (-24)/(-5)*(-10)/(-3).
2
Let o(d) = -3*d**3 + 7*d**2 - 6*d + 6. Let m(p) = 7*p**3 - 14*p**2 + 12*p - 13. Let a(z) = 2*m(z) + 5*o(z). What are the prime factors of a(6)?
2
Let d = -5 - -11. Suppose 0*w + d = 2*w. List the prime factors of 4/(-6) - (-11)/w.
3
Let t = 22 + 13. List the prime factors of t.
5, 7
Let w be -5*(24/10)/(-2). What are the prime factors of (2 + 1)/(w/20)?
2, 5
Let s(u) = u**3 + 5*u**2 + 4*u + 5. Let c be s(-4). Let n = c - 3. Suppose n*y + 5*q = 5*y - 34, 0 = -q - 2. List the prime factors of y.
2
Let q be (26/6)/((-4)/(-60)). Let n(u) = 3*u**3 - u. Let h be n(1). Suppose -7*k + h*k + q = 0. List the prime factors of k.
13
Let g = 0 + 1. Let o = -36 - -35. What are the prime factors of 13 + 3/o + g?
11
Let u(p) = -p**2 + 7*p + 11. Let b = 29 - 21. List the prime factors of u(b).
3
Let w(a) = a**3 + 4*a**2 + 2*a + 4. Let y be w(-4). Let k be 6/(-9) - 52/(-6). Let d = k + y. List the prime factors of d.
2
Suppose -2*n - n + 12 = 0. Suppose 0 = 3*k - 5*d - 26, 5*d - 26 = -5*k + n. List the prime factors of k.
7
Suppose 9*g = 7*g + 688. List the prime factors of g.
2, 43
Suppose 0 = -0*j + 5*j - 65. What are the prime factors of j?
13
Let v = -6 + 9. Suppose v*j = -0*j + 42. What are the prime factors of j?
2, 7
Let g(q) = -q**2 + q + 34. What are the prime factors of g(0)?
2, 17
Let j be 2/12 - 17/(-6). Let g(y) = -y**3 + 4*y**2 + y. What are the prime factors of g(j)?
2, 3
Suppose -27 = -3*z + 5*u, -4*z + 4*u = -7*z. Let d = 1 - z. What are the prime factors of (d - 1)/((-6)/15)?
2, 5
Let l(i) = -i**2 - 4*i + 5. Let r be l(-5). Suppose -3*z + 5*w - 46 = -6*z, 5*z - 3*w - 54 = r. What are the prime factors of z?
2, 3
Let v be 3/(6/8) - -1. Suppose 5*j + 47 = 182. Suppose 0*q + 5*s + j = 4*q, 5*q - v*s = 35. What are the prime factors of q?
2
Let g = -31 - -47. Let i(z) = -z**2 + 5*z - 1. Let a be i(4). Suppose a*w - 67 = -g. What are the prime factors of w?
17
Let s(d) = d + 7. Let h be (2 + -3)*-1*-5. List the prime factors of s(h).
2
Let r(y) = -40*y - 1. List the prime factors of r(-2).
79
Suppose 3*n - 7*n + 20 = 0. Suppose 0 = -q + 23 + 7. Suppose 2*w - n*w = 2*h - 5, 4*h = -2*w + q. What are the prime factors of h?
2, 5
Suppose -3 = 4*b - 5*d, -3*d = -0*b - 3*b. Suppose -3*v + 26 = 3*u - 2*v, 0 = -5*u - b*v + 38. List the prime factors of u.
2, 5
Let v = 19 + 21. List the prime factors of v.
2, 5
Suppose 2*l - 12 - 16 = -3*f, 0 = -3*l - 3*f + 45. Suppose 8 = -5*x - l, 0 = r + 2*x - 22. Suppose -4*k + r = -0*k. What are the prime factors of k?
2
Suppose -w = s, s - 3*w = 2*s + 8. Suppose -f + 7*k - 2*k + 29 = 0, s*k = -5*f + 87. What are the prime factors of f?
19
Let g(m) = -6*m**2 - 2*m + 2. Let n be g(-3). Let w = 27 - n. Suppose 0 = -5*x - 23 + w. List the prime factors of x.
2, 5
Let q(x) = x**2 + x + 55. Let k be q(0). Suppose -k = 3*y - 22. Let c = 18 + y. List the prime factors of c.
7
Suppose -4*c = -4*x - c + 489, 5*x - 612 = 3*c. Suppose -x = 5*w - 313. What are the prime factors of w?
2, 19
Suppose 0 = -5*v + 5*r + 65, 4*v + 2*r - r - 42 = 0. Suppose v*s - 50 = 6*s. What are the prime factors of s?
2, 5
What are the prime factors of ((-60)/48)/(2/(-16))?
2, 5
Let r be (-1)/5 - (-72)/(-40). What are the prime factors of r/((-30)/33)*5?
11
Let t be (-4)/(-22) - (-18)/22. Suppose 1 + t = z. Suppose z*d - 22 = -7*p + 2*p, 5*d - 55 = -3*p. List the prime factors of d.
11
Suppose -5*z + 22 = -2*v, 3*z - 3*v = -5*v + 26. Let m(y) = y**3 - 5*y**2 - 4*y + 2. List the prime factors of m(z).
2, 7
Let w(q) = -3*q + 3. Let j(z) = -6*z**2 - 1. Let r be j(-1). List the prime factors of w(r).
2, 3
Let x = 75 - 67. List the prime factors of x.
2
Suppose 60 = -2*c + 392. List the prime factors of c.
2, 83
Let k(v) = -v - 1. Let d be k(4). What are the prime factors of 7/5 - 3/d?
2
Suppose j = -j + 82. List the prime factors of j.
41
Let z(u) = u**2 + 2. Let l be z(-2). Suppose -j - 290 = -l*j. Suppose 2*f + 3*a = 26, -4*f + j = -a + 4*a. List the prime factors of f.
2
Let u be (-3 - -4)*2 - -10. What are the prime factors of ((-6)/u)/((-2)/116)?
29
Let v(o) = -o**2 - 14*o - 5. Let p be v(-10). Suppose -i + 10 = 3*q - q, 0 = i - 3*q - p. What are the prime factors of i?
2, 5
Suppose 0 = b - 4*r - 17, 5*b = b - 3*r - 8. What are the prime factors of (14 - 3)*b/1?
11
Let x(k) = -k**2 - 6*k + 3. Let z be x(-6). Suppose z*i = -2*i + 40. Suppose 2*n - n = i. List the prime factors of n.
2
Let v be ((-2)/(-6))/(3/9). Let t = v + 2. Suppose 0 = 2*d + 10, t*y + 5*d = -2*y + 15. List the prime factors of y.
2
Let i(h) = h**2 + 2*h + 3. Suppose 2*n - b = 4*b + 11, 2*b + 10 = -2*n. Let d be i(n). What are the prime factors of (-6)/(-18) - (-47)/d?
2
Let a(r) = -2*r - 10. Let k be a(-7). Suppose -k*u = -u - 9. Let v(x) = 2*x**2 - 2*x - 2. What are the prime factors of v(u)?
2, 5
Suppose -m + 70 = 4*j + 2*m, 0 = 4*j - 5*m - 54. Let p(i) = -4*i + 2. Let w be p(2). Let t = w + j. List the prime factors of t.
2, 5
Let j(t) = -20*t - 6. List the prime factors of j(-5).
2, 47
Suppose r = 43 + 114. What are the prime factors of r?
157
Let b = 197 + 89. List the prime factors of b.
2, 11, 13
Suppose 5*s = 2*s + 198. What are the prime factors of s?
2, 3, 11
Let w(z) = -2*z**3 + 8*z**2 + 7*z + 3. Let y(v) = 3*v**3 - 16*v**2 - 13*v - 6. Let j(s) = -5*w(s) - 3*y(s). What are the prime factors of j(-3)?
2, 3
Let u(o) = o**3 + 2*o**2 - 2. Let a be u(-3). Let y = 72 - 50. Let k = y + a. What are the prime factors of k?
11
Suppose -309 = -4*d + 123. List the prime factors of d.
2, 3
Suppose -3*m - 14 = 2*z, 2*z + 0*z = 5*m + 18. Let x be z - (-2)/4*2. Suppose 2*d + x*d = 38. What are the prime factors of d?
19
Suppose 0 = -14*k + 15*k - 5. Suppose -k*i + 45 = -65. List the prime factors of i.
2, 11
Let x(k) = k**3 - 2*k**2 + 1. Let i be x(-1). Let v = i + 2. Suppose v*m = m - 8. What are the prime factors of m?
2
Suppose n - 25 - 81 = -4*q, 0 = -3*q + 4*n + 89. List the prime factors of q/(-3)*(2 + -3).
3
Let f = 18 - -1. List the prime factors of f.
19
Suppose 22 = 4*k + 5*x, -2*x = -5*k - 8 + 19. Suppose 7*l + r - 48 = 2*l, -k*r + 4 = l. List the prime factors of l.
2, 5
Suppose -4*o + 7 = -13. What are the prime factors of o?
5
Suppose 0 = -4*j - 40 + 148. What are the prime factors of j?
3
Suppose 3*b - 8 = 4. Suppose -11 = -b*p + 33. What are the prime factors of p?
11
Suppose -10 = 5*h, x + 10 = -2*x - 2*h. What are the prime factors of (x/6)/(1/(-87))?
29
Suppose -3*h - 2*h + 5*x + 5 = 0, 5*x + 5 = -2*h. Suppose 0 = r - h*r - 48. Suppose 2*d + 2*d - 57 = -3*b, -5*d + 4*b + r = 0. What are th | {
"pile_set_name": "DM Mathematics"
} |
*4/39 - w. Factor p(s).
2*s**2*(s + 1)**2*(s + 2)/13
Let a(m) = m**2 - 10*m + 12. Let k be a(9). Suppose 4*w**2 - 6*w**k + w**5 - 3*w**5 + 4*w**5 = 0. What is w?
-2, 0, 1
Let p(y) be the third derivative of 0 - y**2 - 1/48*y**4 + 0*y + 0*y**3 - 1/240*y**5. Factor p(u).
-u*(u + 2)/4
Let h = -3228/7 + 11575/28. Let d = 48 + h. Solve d*f**2 + 0*f - f**3 + 0 = 0 for f.
0, 1/4
Let y = 11 + -5. Factor -1 + 4 - y*a**2 - 24*a**2 + 3 - 3*a.
-3*(2*a + 1)*(5*a - 2)
Let r(i) be the first derivative of -i**7/42 - i**6/30 + i**5/20 + i**4/12 + 5*i + 8. Let w(p) be the first derivative of r(p). Let w(b) = 0. Calculate b.
-1, 0, 1
Let y(s) = -3*s**2 + 10*s - 35. Let m(q) = -q**2 + q + 1. Let c(u) = -6*u**2 + 8*u - 7. Let x(g) = c(g) - 5*m(g). Let i(z) = -8*x(z) + 3*y(z). Solve i(j) = 0.
3
Factor 0 + 0*o - 2/15*o**2.
-2*o**2/15
Let s(m) be the third derivative of -m**7/315 + m**6/60 + m**5/90 - m**4/12 - 11*m**2. Factor s(o).
-2*o*(o - 3)*(o - 1)*(o + 1)/3
Suppose -2 = -0*j - 2*j. Let f(y) = 25*y**2 - 23*y + 4. Let g(w) = w. Let r(i) = j*f(i) + 3*g(i). Factor r(n).
(5*n - 2)**2
Let i = -102 - -514/5. Factor 2/5*b + 0 + i*b**2 + 2/5*b**3.
2*b*(b + 1)**2/5
Let d(a) be the second derivative of -2*a**7/21 + 8*a**6/15 - 6*a**5/5 + 4*a**4/3 - 2*a**3/3 - 3*a. Suppose d(m) = 0. What is m?
0, 1
Determine y, given that 2/5*y - 1/5*y**2 - 1/5 = 0.
1
Let u(g) be the third derivative of -g**9/504 - g**8/420 + g**7/420 - g**3/2 - 2*g**2. Let b(o) be the first derivative of u(o). Factor b(z).
-2*z**3*(z + 1)*(3*z - 1)
Let q = 32 - 32. Let z(y) be the third derivative of q*y**4 + 0*y + 1/180*y**5 + 0*y**3 + y**2 + 0 + 1/360*y**6. Factor z(p).
p**2*(p + 1)/3
Let c be 2 - 0 - (1 + -2). Suppose 4/3*a + 0 + 2/3*a**4 + 0*a**c - 2*a**2 = 0. Calculate a.
-2, 0, 1
Let b(t) be the first derivative of -8*t**6/9 + 92*t**5/15 - 10*t**4 - 4*t**3 + 6. Solve b(y) = 0 for y.
-1/4, 0, 3
Factor -51/5*s - 7/5*s**2 - 14/5.
-(s + 7)*(7*s + 2)/5
Let l(r) = -4*r**2 - 22*r - 18. Let p(d) = -d**2 - 7*d - 6. Let t(i) = 3*l(i) - 10*p(i). Suppose t(s) = 0. Calculate s.
-1, 3
Let n = -24239/80 + 303. Let u(p) be the second derivative of -1/16*p**4 + 0 + 1/12*p**3 + n*p**5 - 3*p + 0*p**2. Let u(f) = 0. Calculate f.
0, 1, 2
Let w = -89/28 - -24/7. Let i = -41 + 165/4. Factor -i*z + 1/4*z**3 - w*z**4 + 3/4*z**2 - 1/2.
-(z - 2)*(z - 1)*(z + 1)**2/4
Let w(x) be the third derivative of -x**8/30240 + x**7/2520 - x**6/540 + x**5/15 - 3*x**2. Let j(y) be the third derivative of w(y). Factor j(c).
-2*(c - 2)*(c - 1)/3
Let a(h) = h**3 - 5*h**2 + 3*h. Let p = -2 - -5. Let x(w) = 0*w**3 - 2*w**3 + 2*w + 9*w**2 - 7*w. Let c(o) = p*x(o) + 5*a(o). Factor c(m).
-m**2*(m - 2)
Let a(j) be the first derivative of 3*j**5/5 + 3*j**4/4 - 3*j**3 - 15*j**2/2 - 6*j - 3. Find i such that a(i) = 0.
-1, 2
Let y be 2 + -2 - (6 + -9). Let t(p) be the third derivative of 0 - 2*p**2 + 0*p**y + 1/420*p**7 - 1/48*p**4 + 1/240*p**6 + 0*p - 1/120*p**5. Factor t(z).
z*(z - 1)*(z + 1)**2/2
Let v = -1064 + 1064. Find i such that 1/3*i + v - 1/3*i**2 = 0.
0, 1
Let l(g) be the third derivative of -g**5/140 + g**4/28 - g**3/14 + 4*g**2. Let l(k) = 0. Calculate k.
1
Suppose 238*q - 18 = 232*q. Let 8/5*z**4 + 0*z + 0 - 2/5*z**q + 0*z**2 = 0. Calculate z.
0, 1/4
Suppose 8/9*t + 8/9 + 2/9*t**2 = 0. Calculate t.
-2
Let o be 5*(24/10 - 2). Let w be (-247)/190 - (-6)/8*2. Factor 0 + 2/5*c - w*c**o.
-c*(c - 2)/5
Let d(x) be the second derivative of 5*x**7/42 + 7*x**6/6 + 9*x**5/2 + 55*x**4/6 + 65*x**3/6 + 15*x**2/2 - 38*x. Factor d(h).
5*(h + 1)**4*(h + 3)
Let h = -215/7 + 1030/21. Let m = h - 599/33. What is r in 0*r + 0 - m*r**3 - 2/11*r**2 = 0?
-1, 0
Let s(t) be the third derivative of t**5/60 + t**4/8 - 2*t**3/3 - 37*t**2. Factor s(o).
(o - 1)*(o + 4)
Let h = 367/260 - 11/52. Let -1/5*x**5 + 0 + 4/5*x**4 - h*x**3 - 1/5*x + 4/5*x**2 = 0. Calculate x.
0, 1
Factor 2/5*h**3 + 0 - 2/5*h + 0*h**2.
2*h*(h - 1)*(h + 1)/5
Let a(x) be the third derivative of x**6/480 - x**5/80 + x**4/32 - x**3/24 - 14*x**2. Suppose a(t) = 0. What is t?
1
Let o(g) be the third derivative of -g**8/84 - 8*g**7/105 - 2*g**6/15 - 48*g**2. Let o(h) = 0. Calculate h.
-2, 0
Determine r, given that -3/2*r**2 + 0 - 3/4*r**3 - 3/4*r = 0.
-1, 0
Let k(g) be the third derivative of 5*g**8/336 - g**7/21 - g**6/24 + g**5/6 + 16*g**2. Let k(w) = 0. What is w?
-1, 0, 1, 2
Let d(o) be the first derivative of o**5/50 + o**4/40 - o**3/30 - o**2/20 + 15. Factor d(y).
y*(y - 1)*(y + 1)**2/10
Let q(x) be the third derivative of x**8/84 - 2*x**7/35 + x**6/15 + 2*x**5/15 - x**4/2 + 2*x**3/3 - 3*x**2. Factor q(k).
4*(k - 1)**4*(k + 1)
Let d(q) be the first derivative of 5/4*q**2 + 3/2*q - 10 - 1/8*q**4 + 1/6*q**3. Find g such that d(g) = 0.
-1, 3
Let j = -7 - -11. Suppose -z - 1 - 4 = 4*b, -2*z = j*b + 10. Let -2/3*m + 2/3*m**2 + b = 0. What is m?
0, 1
Let y(q) = 66*q**3 - 12*q. Let k(v) = v**2 - v. Let f be k(-1). Let u(x) = 5*x**3 - x. Let g(r) = f*y(r) - 27*u(r). Factor g(d).
-3*d*(d - 1)*(d + 1)
Suppose s - 6 + 4 = 0. Suppose -17*u**2 - 8*u**s - 8*u + 29*u**2 = 0. Calculate u.
0, 2
Let t = 196/9 - 64/3. Determine m so that 4/9*m - 2/9*m**2 + 0 - t*m**3 + 2/9*m**4 = 0.
-1, 0, 1, 2
Let u be (-5)/(10/6) - -5. Let -2*g + g + 0*g**2 - 2*g**2 + 0*g**u = 0. Calculate g.
-1/2, 0
Let f(q) be the first derivative of 16*q**5/5 + 11*q**4 + 12*q**3 + 2*q**2 - 4*q + 9. Factor f(z).
4*(z + 1)**3*(4*z - 1)
Let u(w) = -5*w**5 - 10*w**4 - 18*w**3 - 12*w**2 - 9*w + 2. Let z(b) = b**5 + b**4 + b**3 - b**2 - 1. Let n(y) = -u(y) - 4*z(y). Factor n(l).
(l + 1)**4*(l + 2)
Let k be 1/4 - 15/(-4). Let r = k + -2. Factor v**3 - 1/2*v**4 - 1/2*v**r + 0*v + 0.
-v**2*(v - 1)**2/2
Let v be 2*-1*2/(-2). Factor -4*a**3 - 4*a**4 - 1 + 3*a**4 - 4*a - v*a - 6*a**2 + 2*a.
-(a + 1)**4
Let m(y) = y**2 + 8*y + 15. Let f be m(-5). Factor -2/7*z**2 + 0 - 2/7*z**3 + f*z.
-2*z**2*(z + 1)/7
Let v(x) be the second derivative of x**4/6 + 2*x**3/3 + 6*x. Factor v(m).
2*m*(m + 2)
Let j(o) be the second derivative of o**4/6 - 2*o**3/3 + 9*o. Factor j(n).
2*n*(n - 2)
Factor 2/13*k**2 - 2/13 + 2/13*k - 2/13*k**3.
-2*(k - 1)**2*(k + 1)/13
Let u(h) = 2*h**2 - 7*h - 1. Let a be u(5). Suppose 0 = 4*n + l - a, 2*n + l = -2*l + 12. Find y such that -9/2 - 1/2*y**2 - n*y = 0.
-3
Let c(x) be the first derivative of -7*x**4/16 + 5*x**3/12 + x**2/4 - 3. Factor c(n).
-n*(n - 1)*(7*n + 2)/4
Factor 0*v - 8/9*v**3 + 8/9*v**2 + 0 + 2/9*v**4.
2*v**2*(v - 2)**2/9
Let u(x) = -14*x - 68. Let n be u(-5). Let -4/3*h**2 - 1/3*h**5 + 0 - n*h**3 - 1/3*h - 4/3*h**4 = 0. Calculate h.
-1, 0
Let t = -2/511 - -521/2555. Let o = -71 + 359/5. Factor o + i**2 - t*i**3 - 8/5*i.
-(i - 2)**2*(i - 1)/5
Let q(r) be the second derivative of -r**4/78 - r**3/39 + 2*r**2/13 + r. Suppose q(x) = 0. Calculate x.
-2, 1
Let h(i) be the first derivative of -2*i**3 + 9*i**2/2 + 6*i - 2. Factor h(v).
-3*(v - 2)*(2*v + 1)
Let d = 2/5 - 1/5. Let i be (2/(-10))/(1 + -2). Factor -d - i*l**2 + 2/5*l.
-(l - 1)**2/5
Let h = 135/28 - 25/7. Let m(r) be the first derivative of 1 + h*r**4 + 9/2*r**2 + 2*r + 4*r**3. Factor m(t).
(t + 1)**2*(5*t + 2)
Let h(r) = -r**4 - r**3 + r**2 + r. Let o(x) = 9*x**4 - 6*x**3 - 8*x**2 - 5*x. Let j(b) = 10*h(b) + 2*o(b). Factor j(m).
2*m**2*(m - 3)*(4*m + 1)
Let w be (-5 - -2)*(-2)/6. Factor 0 + 1 + w - 2*z**2.
-2*(z - 1)*(z + 1)
Let l(b) = 4*b + 23. Let n be l(-5). Suppose 11 = n*g - 1. Factor 0 - 3/2*j**2 + 3/2*j**3 - 1/2*j**g + 1/2*j.
-j*(j - 1)**3/2
Let h(y) be the third derivative of -2*y**5/15 - y**4/4 + y**3/3 - 11*y**2. Determine g, given that h(g) = 0.
-1, 1/4
Let h = 86/27 - 568/297. What is c in -8/11*c**2 + h*c**4 + 8/11*c**5 + 28/11*c - 6/11 - 36/11*c**3 = 0?
-3, -1, 1/4, 1
Let v(q) be the first derivative of -60*q**5 - 65/2*q**4 + 125/3*q**6 + 16*q + 1 + 284/3*q**3 - 60*q**2. Let v(b) = 0. Calculate b.
-1, 2/5, 1
Let g(u) be the third derivative of 0 + 1/14*u**4 + 1/210*u**5 - 2*u**2 + 0*u + 3/7*u**3. Let g(m) = 0. Calculate m.
-3
Factor -12/7*o**3 + 1/7*o**5 + 6/7 + 11/7*o - 4/7*o**4 - 2/7*o**2.
(o - 6)*(o - 1)*(o + 1)**3/7
Let l(a) be the third derivative of a**7/840 - a**5/30 + 2*a**3/3 + 35*a**2. Factor l(i).
(i - 2)**2*(i + 2)**2/4
Let u be 10*(34/10 + -3). Factor -9*h**3 + h**u + 5*h**3 - 2*h**2 - 3*h**4.
-2*h**2*(h + 1)**2
Let b(d) = -2*d**3 - d. Let | {
"pile_set_name": "DM Mathematics"
} |
Let g(o) = -o**3 + 9*o**2 + 21*o + 2. What is g(11)?
-9
Let p(j) = -2*j**3 + 6*j**2 - 5*j + 13. Give p(4).
-39
Let p(n) = -2*n**2 - 3*n. Determine p(7).
-119
Let u(n) = 11*n - 59. Calculate u(6).
7
Let g(k) = -3*k - 30. Calculate g(-8).
-6
Let q(s) = 8*s - 185. Give q(24).
7
Let t(o) = o**3 + 3*o**2 - 11. Calculate t(-5).
-61
Let z(f) = 11*f**2 + 5*f - 1. Determine z(-2).
33
Let t(q) = q**3 + 7*q**2 + 4*q + 5. Calculate t(-5).
35
Let b(x) = x**3 + 7*x**2 + x + 8. Calculate b(-7).
1
Let z(d) = 2*d**2 - 20*d + 3. Calculate z(11).
25
Let u(x) = x**2 - 8*x + 2. Determine u(7).
-5
Let d(n) = -n - 7. Determine d(-7).
0
Let h(a) = a**2 + 3*a + 1. Calculate h(4).
29
Let h(v) = -v**2 + 9*v - 1. Calculate h(16).
-113
Let t(p) = -3*p**3 - 4*p**2 + 2*p + 2. Calculate t(-2).
6
Let f(w) = -5*w**2 + 59*w + 18. Determine f(12).
6
Let x(q) = 20*q**2 - q + 1. Determine x(1).
20
Let c(u) = -u**2 - 11*u - 2. Calculate c(-12).
-14
Let h(v) = -v**2 + 8*v - 40. Determine h(5).
-25
Let z(d) = -2*d - 61. Give z(-13).
-35
Let z(t) = -t**3 + 2*t**2 + 2*t. Calculate z(2).
4
Let d(x) = x**3 - 8*x**2 - 3*x + 9. What is d(8)?
-15
Let y(a) = -a**2 + 18*a - 21. Give y(15).
24
Let d(f) = 10*f**2 - f - 1. What is d(-1)?
10
Let p(r) = r**3 + 5*r**2 - 7*r - 11. Give p(-6).
-5
Let h(f) = f**3 - 2*f**2 - 3*f + 8. Calculate h(6).
134
Let w(h) = -42*h. Calculate w(-1).
42
Let r(k) = -k - 34. What is r(0)?
-34
Let y(i) = 2*i**3 - 11*i**2 - 4*i. Give y(5).
-45
Let g(k) = 5*k - 14. Determine g(-10).
-64
Let r(h) = -h**2 + 10*h + 1. Give r(10).
1
Let b(r) = r**2 - r - 1. Give b(-12).
155
Let w(i) = -12*i**2 - i - 3. What is w(2)?
-53
Let q(k) = -5*k + 82. Give q(12).
22
Let x(u) = -33*u + 58. Determine x(2).
-8
Let j(u) = -u**3 + 3*u**2 + 5. What is j(5)?
-45
Let d(x) = 2*x**3 + 26*x**2 - 29*x + 2. What is d(-14)?
16
Let q(f) = -174*f - 698. Give q(-4).
-2
Let q(i) = 3*i**2 + 41*i - 15. Calculate q(-9).
-141
Let f(j) = j**3 - 5*j**2 - 10*j + 3. Determine f(6).
-21
Let w(k) = 4*k + 18. What is w(-6)?
-6
Let t(b) = 11*b**2 + b. Give t(2).
46
Let b(x) = x + 22. Give b(-17).
5
Let k(f) = -3*f + 13. Calculate k(0).
13
Let x(y) = 4*y - 24. Give x(9).
12
Let t(j) = 2*j**2 - 26*j + 120. Determine t(6).
36
Let w(u) = -u**3 - 4*u**2 + u. What is w(-3)?
-12
Let p(d) = -d**2 + 26*d - 63. What is p(26)?
-63
Let n(c) = 11*c**2 + 4*c + 3. Determine n(-1).
10
Let r(l) = -l**2 - 14*l - 14. What is r(-13)?
-1
Let k(i) = i**3 - 15*i**2 - i - 21. What is k(15)?
-36
Let j(k) = -5*k - 10. What is j(-9)?
35
Let h(z) = 2*z**2 - z - 5. Calculate h(-3).
16
Let h(t) = -2*t**3 + t**2 + 6*t - 6. What is h(1)?
-1
Let m(s) = 24*s + 41. Determine m(-4).
-55
Let y(t) = -t**3 - 4*t**2 - 3*t - 5. Give y(-3).
-5
Let h(k) = k - 14. Calculate h(9).
-5
Let k(u) = 3*u - 9. Calculate k(8).
15
Let b(d) = -10*d - 64. Calculate b(-6).
-4
Let g(u) = 7*u + 58. Give g(-11).
-19
Let x(d) = 2*d - 28. What is x(15)?
2
Let b(n) = 2*n**3 + 14*n**2 + 3*n - 61. Determine b(-6).
-7
Let z(b) = -b + 14. Calculate z(12).
2
Let r(k) = k**3 + 3*k**2 + 3*k + 3. Give r(-3).
-6
Let w(a) = a**3 + 5*a**2 - 3*a - 11. Calculate w(-5).
4
Let i(q) = -q**3 - 8*q**2 - 8*q - 2. What is i(-7)?
5
Let m(h) = h + 84. Calculate m(14).
98
Let n(k) = 2*k**3 + 2*k**2 - k - 4. Calculate n(3).
65
Let f(r) = -r**2 - 32*r + 128. Determine f(-36).
-16
Let w(r) = -377*r - 1511. What is w(-4)?
-3
Let h(x) = x**2 - 11*x + 17. What is h(9)?
-1
Let i(b) = -31*b + 27. Calculate i(4).
-97
Let a(k) = -k**2 - 4*k - 52. Calculate a(-8).
-84
Let q(h) = -11*h - 7. Determine q(-6).
59
Let c(n) = -2*n**3 - 8*n**2 - 5*n - 3. What is c(-5)?
72
Let x(a) = a**3 - 10*a**2 + 3. Calculate x(10).
3
Let x(f) = -f**2 + 7*f - 13. Calculate x(6).
-7
Let k(f) = -f**3 - 2*f**2 - f - 5. Give k(-4).
31
Let c(l) = 3*l + 4. Calculate c(-10).
-26
Let t(g) = g**3 + 2*g + 2. What is t(-2)?
-10
Let h(t) = 2*t**2 - 129*t - 478. Give h(68).
-2
Let n(j) = j**2 + 23*j + 141. Calculate n(-9).
15
Let l(t) = -t - 16. Calculate l(-8).
-8
Let v(g) = g + 10. Calculate v(-4).
6
Let p(l) = 4*l**2 - 162*l - 81. What is p(41)?
1
Let i(n) = 45*n**3 + n**2 + 2*n - 2. Determine i(1).
46
Let q(n) = 2*n + 33. Give q(-10).
13
Let w(c) = -c**3 - 7*c + 5. Calculate w(-4).
97
Let j(w) = -w**2 - 6*w + 14. Give j(-7).
7
Let y(g) = -g**2 + 15*g - 17. Give y(13).
9
Let l(i) = -2*i - 1. Give l(-1).
1
Let n(c) = c**3 + 15*c**2 - 17*c - 7. Give n(-16).
9
Let r(j) = j**2 - 8*j - 2. Determine r(7).
-9
Let p(r) = -r**3 + 14*r**2 - 14*r + 19. Determine p(13).
6
Let h(g) = -10*g - 5. Give h(1).
-15
Let x(y) = y**3 - 2*y**2 - 7*y - 1. What is x(4)?
3
Let y(g) = 11*g - 26. Give y(19).
183
Let m(f) = f**3 - 9*f**2 + 5*f + 55. Calculate m(9).
100
Let q(h) = 3*h - 6. Give q(6).
12
Let r(m) = -m**2 + 32*m + 14. What is r(26)?
170
Let q(b) = -b**3 - 17*b**2 - 23*b - 111. Calculate q(-16).
1
Let t(g) = g**2 - 2*g + 5. Give t(3).
8
Let k(y) = 30*y - 255. Determine k(8).
-15
Let j(k) = k**3 - 8*k**2 - 3*k - 16. Determine j(9).
38
Let h(w) = 7*w - 50. Determine h(6).
-8
Let q(g) = -g**3 + 11*g**2 + 9*g + 12. What is q(12)?
-24
Let z(x) = -3*x**3 + 6*x**2 - 10*x + 3. Calculate z(4).
-133
Let d(s) = s**2 - 32*s + 51. What is d(30)?
-9
Let a(f) = -2*f**3 + 8*f**2 + 14*f - 17. What is a(5)?
3
Let r(d) = 4*d + 54. Give r(-11).
10
Let y(w) = -w**3 - 8*w**2 - 2*w - 12. Determine y(-8).
4
Let h(b) = -9*b - 38. Give h(-4).
-2
Let s(p) = 2*p**3 + 2*p**2 - 2*p - 3. Calculate s(-2).
-7
Let k(n) = -2*n - 4. Calculate k(-4).
4
Let m(i) = -3*i**2 + 3*i + 5. Give m(0).
5
Let r(i) = -35*i**3 - 2*i - 1. What is r(-1)?
36
Let y(j) = -16*j - 14. Give y(-1).
2
Let s(k) = -k**2 + 14*k + 15. Determine s(15).
0
Let m(x) = 2*x - 2. Determine m(1).
0
Let q(w) = 18*w**3 - w**2 - 3*w + 11. Calculate q(2).
145
Let f(g) = 2*g**3 + 27*g**2 + 15*g + 29. Calculate f(-13).
3
Let o(n) = n**3 - 14*n**2 + 11*n + 15. Give o(13).
-11
Let v(z) = -z**2 - z - 1. Calculate v(0).
-1
Let o(b) = 14*b**2 + 4*b - 4. Determine o(1).
14
Let o(r) = 20*r**2 + 2*r + 2. What is o(-1)?
20
Let n(j) = 2*j**2 - 6. Give n(5).
44
Let x(g) = g**3 + 25*g**2 + 46*g - 9. Give x(-23).
-9
Let w(k) = k**3 - 23*k**2 + 60*k + 7. Calculate w(20).
7
Let l(w) = w**3 - 8*w**2 + 12*w + 5. What is l(4)?
-11
Let b(q) = q - 2. Calculate b(-2).
-4
Let j(l) = -l**2 + 13*l - 8. Give j(9).
28
Let x(c) = -c**2 - 5*c + 6. Calculate x(-6).
0
Let p(r) = -r**2 + 4*r + 6. Calculate p(4).
6
Let p(y) = 2*y**2 + 2*y - 1. Determine p(-2).
3
Let f(s) = 3*s**3 - 3*s**2 - s - 5. Give f(2).
5
Let p(s) = s**2 - 17*s + 23. Give p(16).
7
Let x(n) = n**2 + n + 4. Calculate x(-2).
6
Let p(n) = -n**2 - 8*n + 58. What is p(-13)?
-7
Let z(l) = -l**3 - 7*l**2 - 6*l - 4. Calculate z(-4).
-28
Let z(u) = u**3 + u**2 - 5*u - 3. Give z(-5).
-78
Let p(l) = -l - 5. Calculate p(-11).
6
Let a(z) = 7*z**2 + 152*z + 106. Calculate a(-21).
1
Let h(q) = -8*q - 16. Determine h(0).
-16
Let s(x) = -x**3 - 5*x**2 + 10*x + 3. Determine s(-7).
31
Let m(v) = -v**2 - 12*v + 14. Calculate m(-13).
1
Let d(i) = i + 57. Calculate d(0).
57
Let t(a) = a**2 + 4*a - 30. What is t(-7)?
-9
Let m(f) = 2*f**3 - 29*f**2 + 15*f + 17. Calculate m(14).
31
Let u(f) = -25*f**2 + 2*f - 4. Determine u(1).
-27
Let s(i) = i + 2. What is s(3)?
5
Let g(z) = 2*z - 10. Calculate g(4).
-2
Let n(d) = -d**3 + 6*d**2 + 2*d + 19. Determine n(8).
-93
Let r(y) = -3*y - 30. Calculate r(-9).
-3
Let r(w) = -w**3 + 9*w**2 + 9*w + 12. Give r(10).
2
Let z(x) = -x - 14. Calculate z(-16).
2
Let b(a) = a**3 - 3*a**2 - 2*a + 5. Give b(4).
13
Let g(l) = -2*l**3 + 13*l**2 - 8*l + 1. Calculate g(6).
-11
Let i(u) = -5*u**2 - 19*u - 5. What is i(-3)?
7
Let c(h) = -2*h**3 - h**2 - 6*h - 4. Determine c(-1).
3
Let k(x) = -4*x - 81. Give k(-14).
-25
Let f(t) = -24*t**2 - 2*t + 1. Give f(1).
-25
Let i(h) = 47*h + 278. What is i(-6)?
-4
Let x(g) = -g**2 - 6*g - 4. Calculate x(-4).
4
Let x(m) = -m**3 + 6*m**2 - 6. What is x(6)?
-6
Let v(g) = -g**3 + 9*g**2 - 7*g - 10. Calculate v(8).
-2
Let v(t) = t - 14. Calculate v(18).
4
Let y(b) = b - 9. What is y(4)?
-5
Let y(d) = -d**3 - 6*d**2 + 7*d + 7. Give y(-7).
7
Let p(w) = -7*w + 12. Calculate p(-9).
75
Let t(j) = -8*j - 20. What is t(-3)?
4
Let t(u) = u + 1. Give t(3).
4
Let s(c) = c - 19. Give s(6).
-13
Let w(o) = 3*o + 9. Calculate w(-2).
3
Let v(o) = -o**3 - 8*o**2 - 10*o | {
"pile_set_name": "DM Mathematics"
} |
51*b**2 + 14566*b - 2658 wrt b?
653526*b - 1102
Find the third derivative of 180034*w**3*z**4 - 2*w**3*z**2 + 384*w**2*z**2 - 462*w*z**2 - 40*z**4 wrt z.
4320816*w**3*z - 960*z
What is the third derivative of 8424889*z**3 - 8384513*z**2 wrt z?
50549334
Differentiate -k**4*q - 1540062*k*q**2 + 19831023*q**2 wrt k.
-4*k**3*q - 1540062*q**2
Differentiate 831179*a**3*m - a**3 - 36*a*m + 216106*a + 12 with respect to m.
831179*a**3 - 36*a
Find the third derivative of 16463*f**4 + 457*f**3 + 18*f**2 - 12*f - 418 wrt f.
395112*f + 2742
What is the third derivative of -7127871*r**4 - 15*r**3 - 63769*r**2 + 809?
-171068904*r - 90
What is the third derivative of -9754*a**3*s**2 - 6719*a**3 + 2*a**2 + 5*a*s**2 + 2296*a*s - 6*a wrt a?
-58524*s**2 - 40314
Differentiate -27404687*n**4 - 24336199 wrt n.
-109618748*n**3
Find the third derivative of 17851*h**4*m - 10*h**4 + 2*h**3 + 345*h**2*m + 9634*m wrt h.
428424*h*m - 240*h + 12
Find the first derivative of 147786*h**3*k - h**3 - 94*h*k + 32586918*k - 2 wrt h.
443358*h**2*k - 3*h**2 - 94*k
Find the third derivative of 16*c**3*u - 278002*c**3 + 51*c**2*u - 2*c*u + 9609*c wrt c.
96*u - 1668012
What is the derivative of -3*b**3*d**2 - 3486493*b**3 - 36*d**2 + 86058*d wrt b?
-9*b**2*d**2 - 10459479*b**2
Differentiate -105752*d**2*v + 159*d**2 + 33637383*v with respect to d.
-211504*d*v + 318*d
Differentiate -63*j**2*m - 1595*j**2 + 2*j*m**3 + 5*j + m**3 + 139*m**2 - m + 7178 with respect to j.
-126*j*m - 3190*j + 2*m**3 + 5
What is the third derivative of -3*d**3*v**3 - 6*d**3*v**2 + 1227154*d**3 - d**2*v - 42*d*v**3 + 7057*d*v wrt d?
-18*v**3 - 36*v**2 + 7362924
What is the second derivative of 5845460*f**5 - 26*f**2*q**2 + 2489206*f*q**2 + 16*q**2 wrt f?
116909200*f**3 - 52*q**2
What is the first derivative of 29778*v**3 - 39*v + 18264512 wrt v?
89334*v**2 - 39
Differentiate -219679*w**2 - 5*w + 4615945 with respect to w.
-439358*w - 5
What is the second derivative of -569176040*s**2*t**2*v + 64*s**2*t - 1977*s*v + 5*s + 2*v wrt t?
-1138352080*s**2*v
What is the second derivative of -11062740*m**2 - 7814525*m wrt m?
-22125480
What is the third derivative of -9588745*m**3 + 222*m**2 - 23906*m?
-57532470
What is the third derivative of 99400926*o**3*y**2 + o**2*y - 10*o**2 + 1638*o*y**2 + 19*y**2 wrt o?
596405556*y**2
What is the second derivative of 828726920*t**2 + 151594529*t?
1657453840
What is the second derivative of 446329204*j**2 - 503984627*j wrt j?
892658408
Find the second derivative of 961718*j**3*s**3 + j**3*s - 50*j**3 - 148*j**2*s**3 - 6100*j*s - 2*j + 2*s wrt s.
5770308*j**3*s - 888*j**2*s
What is the derivative of -81943411*l - 261904432 wrt l?
-81943411
Find the first derivative of 538*m**2 - 3162*m + 44598594 wrt m.
1076*m - 3162
Differentiate 247*k*p + 51860232*k - 37056*p + 2 wrt p.
247*k - 37056
Find the third derivative of -13245193*d*m**4 - 17*d*m**2 - 18*d*m + 8*m**5 - 13641*m**2 - 1 wrt m.
-317884632*d*m + 480*m**2
What is the second derivative of -960*g**3*h**2*t - 13744*g**3*h*t - 2801*g*h**2*t - 123*g*h**2 - g*h*t + 2*g*t + 2*g wrt g?
-5760*g*h**2*t - 82464*g*h*t
Find the second derivative of 234811741*y**2 - 154*y + 261566.
469623482
Differentiate -207369718*i + 177935058.
-207369718
What is the third derivative of 29710984*o**4 - 48137*o**2 + 29*o?
713063616*o
Find the third derivative of j**2*o**4 - j**2*o**2 - 71*j**2 + 171662670*j*o**6 + 5*j*o**2 + 50*j*o + 10*j wrt o.
24*j**2*o + 20599520400*j*o**3
Find the second derivative of 381972012*f**2 + 406490958*f wrt f.
763944024
Differentiate -b**3*m**3 + 1133076*b**3*m**2 - 31*b**3 - 1523*b**2 - 21*b wrt m.
-3*b**3*m**2 + 2266152*b**3*m
Differentiate -31368*c**3 + 3*c**2 + 3*c - 17913934 with respect to c.
-94104*c**2 + 6*c + 3
Find the third derivative of -103829*p**3*y + 2*p**3 + 3*p**2*y - 259423*p**2 wrt p.
-622974*y + 12
What is the second derivative of 1407*p**5 - 2263*p**4 - p**2 - 4735092*p wrt p?
28140*p**3 - 27156*p**2 - 2
Find the third derivative of -9902*a*q**3 - 247*a*q**2 + 2*a*q + 152*q**3 + 653*q**2 wrt q.
-59412*a + 912
Differentiate -1623197*k**2*t**2 - 24214352*k**2 wrt t.
-3246394*k**2*t
What is the first derivative of -v**3 + 2*v**2 - 22646365*v - 44996063?
-3*v**2 + 4*v - 22646365
What is the first derivative of 394*j**4 + 437*j**2 + 2*j - 9765563?
1576*j**3 + 874*j + 2
Find the second derivative of 805101444*k**3*q**2 + 2*k**3 + 2*k**2 + 58*k*q + 170*q + 2699 wrt q.
1610202888*k**3
Differentiate 1440321310*n - 946086583 wrt n.
1440321310
What is the third derivative of -7*b*g + 2*b*i**3 - 2*b*i**2 - 218*b + 241624525*g*i**3 - 82*g*i**2 - 3*g + 1 wrt i?
12*b + 1449747150*g
What is the second derivative of 66*o**3*x**3 + 10*o**3 - 57455*o**2*x**3 + 2*o**2 + 41048*o*x wrt x?
396*o**3*x - 344730*o**2*x
What is the derivative of 1354*m**4 - 3*m**3 - 548*m**2 - 23959091?
5416*m**3 - 9*m**2 - 1096*m
What is the third derivative of -30*b**3*k*m + 37769*b**3*m**2*x**2 - b**2*k*m*x + 1801*b*k*m**2*x**2 - 5*k*m**2*x**2 + 2*m**2*x - 84*x**2 wrt b?
-180*k*m + 226614*m**2*x**2
What is the second derivative of -2*p*u**2 + 252*p*u - 37920270*u**3 + 26364*u + 10 wrt u?
-4*p - 227521620*u
What is the third derivative of -n**2*u**4 - 3*n**2*u**2 - 2*n**2 + 509633*n*u**4 - 5*n*u**2 + 5*u**3 + 191396*u**2 + 2 wrt u?
-24*n**2*u + 12231192*n*u + 30
What is the derivative of -548385707*m - 435615376 wrt m?
-548385707
Differentiate 1350*k*v**3 - 65091816*k + 3*v**4 - 470*v - 1 with respect to v.
4050*k*v**2 + 12*v**3 - 470
What is the first derivative of 26*c**3*g - 27*c**3 - 13*c**2 + 1018*c - 4594395*g**2 - 79 wrt g?
26*c**3 - 9188790*g
Find the second derivative of 51402*k*w**2 + 2*k*w + 3920696*k + 48*w**3 wrt w.
102804*k + 288*w
What is the derivative of -59813356*g*t**3 - 32*t**3 + 27*t**2 + 14027 wrt g?
-59813356*t**3
What is the derivative of 5*g**2 - 27085*g + 10440823?
10*g - 27085
Find the second derivative of -169613067*l**2 - 3*l + 29560247.
-339226134
What is the first derivative of -3116383*y + 15176399?
-3116383
Find the third derivative of 5526*b**5 + 2*b**4 + 695*b**3 + 23*b**2 - 8458*b - 16.
331560*b**2 + 48*b + 4170
Find the third derivative of -2*v**6 + 3*v**4 - 31392418*v**3 + 12*v**2 - 25*v + 83583 wrt v.
-240*v**3 + 72*v - 188354508
What is the derivative of -137679448*a - 114017305?
-137679448
What is the first derivative of 1452540*b*h - b - 6*h + 18066891 wrt h?
1452540*b - 6
What is the second derivative of -18447*d**2*w**3 - 4*d**2*w + 930*d**2 - 5*d*w**2 + 2*d*w - 115*w**3 + 7*w + 9 wrt w?
-110682*d**2*w - 10*d - 690*w
What is the second derivative of -21329473*u**2 - 337781917*u?
-42658946
Find the third derivative of -1646*d**2*p**3 - d**2*p**2 + 30285*d**2*p - 26894*d*p**4 - 2*d*p**2 - 63*p**2 wrt p.
-9876*d**2 - 645456*d*p
Find the third derivative of -43*b**5 + 313372*b**4 - 2*b**2 + 16558096 wrt b.
-2580*b**2 + 7520928*b
Find the third derivative of c**5 + 2595*c**4 - 7478*c**3 + 305*c**2 - 196204.
60*c**2 + 62280*c - 44868
What is the third derivative of 1318443*s**5 + 47*s**3 - 435459*s**2 - 677?
79106580*s**2 + 282
What is the second derivative of 652721426*o**4 - 299834*o - 1056?
7832657112*o**2
Find the second derivative of 282520346*z**2 - 16073015*z + 1.
565040692
Find the third derivative of -91820704*f**5 + 75537351*f**2.
-5509242240*f**2
What is the second derivative of -67202247*i**4 - 17615217*i - 2 wrt i?
-806426964*i**2
Find the second derivative of -47138905*v**4 + 1677343*v - 23.
-565666860*v**2
Find the third derivative of -241650790*j**4 - 2*j**2 - 28513866*j wrt j.
-5799618960*j
Find the second derivative of 478*a**3*s**3 - 58*a**3*s + 9*a**2*s + 134*a**2 - 1365*s**3 - 4 wrt s.
2868*a**3*s - 8190*s
Differentiate -974*k**2*u + 2*k**2 - 3046*k*u - 5*u + 2897901 with respect to k.
-1948*k*u + 4*k - 3046*u
Find the third derivative of -78976633*x**4 - 105719039*x**2 wrt x.
-1895439192*x
Find the second derivative of y**5 + 536540796*y**2 - 550943562*y wrt y.
20*y**3 + 1073081592
What is the third derivative of 12300131*s**4 + 7*s**3 + 650990513*s**2?
295203144*s + 42
Find the first derivative of -q**3*v + 2*q**3 - 3*q*v - 4428474*q - 39575*v wrt v.
-q**3 - 3*q - 39575
What is the third derivative of 135984*o**6*u - 23*o**3*u - 21*o**2*u + 113*o*u + 3*u wrt o?
16318080*o**3*u - | {
"pile_set_name": "DM Mathematics"
} |
t f = -3.5 - -3. Let d = 76.8 + -71. Let c = 6 - d. What is the third biggest value in c, -2, f?
-2
Let f(g) = g**3 + 6*g**2 - g. Let i be f(-4). Let k be i/(-27) - (-5)/3. Which is the smallest value? (a) -4 (b) k (c) -2
a
Let k = 2.6 + -3.2. Let w = 1.6 + k. What is the third biggest value in w, 0.6, 0.5?
0.5
Suppose 3*s - y = 2*s + 9, 0 = -3*s - 3*y + 45. Suppose -3*p + 0*p = -s. Let h be ((-2)/(-14))/((-2)/p). Which is the smallest value? (a) 0.2 (b) 1/3 (c) h
c
Let o be 2*4*(-1)/2. Let i = 13 - 18. Let j = -149/2 - -73. What is the smallest value in o, i, j?
i
Let y be (-2)/(-6) + (-99)/(-27). Let n = 0.2 - 1.2. What is the smallest value in n, y, 2?
n
Let d = -52.2 + 52. What is the third smallest value in -1/8, 2/7, d, 0?
0
Let k = 13 + -15. What is the third biggest value in -5, k, 1.3?
-5
Let v = -0.4 - 1.6. Let r = 3.8 + -0.8. Suppose -94 + 88 = -3*z. Which is the third biggest value? (a) v (b) z (c) r
a
Let l be 8/2*(-21)/12. Let t = 5 + l. Let u = -0.1 + 0. What is the second biggest value in u, t, -0.2?
-0.2
Let v = -43 - -40. What is the fourth biggest value in -4/9, -2/13, -3/5, v?
v
Let m = -1 - -7. Let p = m + -3. Let x = 8 + -8.3. What is the biggest value in 1/9, x, p?
p
Suppose -3*c = 4*q - 2*q + 13, 14 = -3*q + c. Let u = 21 - 21. What is the second biggest value in -2, q, u?
-2
Let s = -1.12 + 1. Let n = s + 0.52. Which is the second smallest value? (a) n (b) -1 (c) -3
b
Let h = 12 - 5. Let n = 5 - h. Let q = 8 - 3. Which is the third biggest value? (a) n (b) 3 (c) q
a
Let f = -83 - -746/9. What is the third smallest value in 0.5, -0.5, 2, f?
0.5
Suppose 2*a - a + 2*o + 1 = 0, 0 = -2*a + 2*o + 10. Suppose a*b = 7*b. Let y = 0.3 + -0.2. What is the second biggest value in b, 3, y?
y
Let j = 32.3 - 32. Which is the biggest value? (a) -1 (b) 0.2 (c) j
c
Let a be (-2)/(-7) - 91/147. What is the third smallest value in -0.2, -3, a?
-0.2
Let b = -0.465 - 0.035. What is the second biggest value in -5, 2, b, -3?
b
Let z = -1.1 - -0.6. Let h = -4 - -3.5. Let w = h - 1.5. Which is the third smallest value? (a) w (b) z (c) -0.2
c
Let s = -2 + 1. Let a = -3 + s. Let v be 0 - (12/(-4) - -1). What is the third biggest value in 0, v, a?
a
Let x(q) = -q**3 + 4*q**2 - q - 4. Let c be x(3). Let d be (-3 + 6 - 3) + c. What is the biggest value in 4/5, d, 1?
d
Suppose -24 = 4*h - 2*h. Let z be (-4 - h*1)/2. Which is the smallest value? (a) z (b) -2/13 (c) -6
c
Let u = -53/2 + 27. What is the smallest value in u, -1, 1?
-1
Let z = 0.15 + -0.65. Which is the second smallest value? (a) z (b) -1 (c) -3/4
c
Let l(x) = x + 2. Let v be -2 + (-9)/((-6)/(-2)). Let r be l(v). Which is the third biggest value? (a) r (b) 0.4 (c) -3/4
a
Let y = -0.05 + 0.02. Let n = -1 + -3. Let h be (-5)/(-15)*2/3. Which is the second biggest value? (a) n (b) h (c) y
c
Let p be ((-4)/(-12))/(5/(-6)). Let z = 61/20 + -9/4. What is the smallest value in p, z, -2?
-2
Let q = 47 + -28. Let z = q + -21. Which is the biggest value? (a) -3/4 (b) z (c) -0.5
c
Let d = -483/5 + 97. Let p be -1 + 3 - 138/78. What is the smallest value in 3, p, d?
p
Let i = -14.2 - -14. Let b = 0.3 - 0.1. Let g = b - 4.2. What is the second smallest value in i, g, 0.5?
i
Suppose -150 = -5*c + 5*j, -41 - 54 = -4*c - j. Suppose -5*r + c = -4*a, r + 2*a = -r - 8. What is the third smallest value in -0.1, r, 2/21?
r
Let w = 2.9 - -1.1. Let u(m) = m + 8. Let p be u(-4). Let c be 1/p + (-66)/(-24). What is the second smallest value in -1/2, c, w?
c
Let d be (-1*3)/((-3)/2). Let q = -0.38 + 0.08. Let h = -0.3 - q. What is the biggest value in h, -0.1, d?
d
Let y = 13.6 + -0.6. Let u = y + -10. Which is the third smallest value? (a) -3/2 (b) 4 (c) u
b
Let v = 2.2 + -2. Let t(h) = -8*h + 9. Let x be t(1). Which is the third smallest value? (a) 2/17 (b) v (c) x
c
Let t = -19/6 + 3. Which is the second biggest value? (a) -0.1 (b) t (c) 0
a
Let m = 518 + -539.7. Let h = -30 - m. Let p = 8 + h. What is the third smallest value in -1, p, -3/4?
p
Let t = 3.6 + -4. Let r = 0.2 - 0.2. Let s = 0.1 - r. What is the second smallest value in s, t, -4?
t
Let o = 0.09 + 0.21. Which is the second smallest value? (a) 0.2 (b) -4 (c) o (d) -1/5
d
Let m = 7 - 13. Let d = 9 + m. Which is the third smallest value? (a) 2 (b) -0.4 (c) d
c
Suppose 3*l + l = 8. Let x = 6.04 - 6. Let s = x + -1.04. What is the second smallest value in s, 5, l?
l
Let i = -14 - -8. Let z be -3*(9/i + 1). Which is the second biggest value? (a) z (b) -6 (c) -2/9
c
Let n = 18 + -18.1. Let z = -10 - -15. Which is the third smallest value? (a) z (b) 4 (c) n
a
Let y be (-350)/231 + (-12)/(-66). Let t = 6 - 8. What is the third biggest value in -0.1, t, y?
t
Let n = -0.046 - 3.954. What is the second biggest value in -1, 3, -0.06, n?
-0.06
Let t = 36 - 34. Which is the second biggest value? (a) 5 (b) 8 (c) t
a
Let g be (-2)/(-4) + -1 + (-4)/16. What is the third biggest value in -2, g, 5?
-2
Suppose 0 = -2*y + 2. Suppose -2*n - 4*v + y = -5, 2*v = -4*n - 12. Which is the biggest value? (a) -0.5 (b) n (c) -3
a
Let r = 100 - 103. Let x be (2/4)/(6/(-3)). Which is the third biggest value? (a) x (b) r (c) 0.1
b
Let i = 58 - 62. Which is the second biggest value? (a) -0.06 (b) 4 (c) i
a
Let y = -1 + 0. Let z = -92 - -92.3. Which is the second biggest value? (a) z (b) y (c) -1/4
c
Let a = -6/13 + 212/65. Let m be (-82)/(-30) + (-1)/3. Let i = a - m. What is the second biggest value in -5, -1/6, i?
-1/6
Let j = 1 - 0.8. Let g = -1.2 + j. Let r be 15/45 + 33/9. Which is the smallest value? (a) 0.4 (b) r (c) g
c
Let a be ((-12)/9)/(3/(-9)). Suppose 5*b = v - 24, -3*v + a*b + 22 = -b. Let k = 3.93 - -0.07. What is the biggest value in k, v, -0.5?
k
Let h = 0.066 - 0.366. Which is the biggest value? (a) h (b) 5 (c) -1/6
b
Let f be (-5)/12 + (132/(-16))/(-11). Let o = -0.7 + 0.8. Let n = -1 + -5. Which is the biggest value? (a) f (b) n (c) o
a
Let t(c) = -c - 6. Let d be t(-6). Suppose d = -3*j + 8 + 4. Let m = -0.1 - -0.1. What is the second biggest value in m, -2/11, j?
m
Let a = -3 - -2. Let s = -28 - -33. What is the second biggest value in a, s, 0?
0
Let w = -0.3 - 9.5. Let u = w + 10. Which is the third smallest value? (a) 0.1 (b) u (c) -2/9
b
Let g(v) = 4*v**3 - v**2. Let j be g(-1). Which is the third smallest value? (a) j (b) 0.5 (c) -2
b
Let o = 5.19 - 0.19. Which is the second smallest value? (a) o (b) -0.5 (c) 0.4
c
Let v = -17 - -21. Let w be (5 - 1)*2/(-12). What is the smallest value in v, -7, w?
-7
Let f = 56.7 + -53.67. Let l = -0.03 + f. Let i = 2.5 - l. Which is the third smallest value? (a) i (b) -3 (c) 1/8
c
Let h = 0.5 - 0.53. Let o = h - 2.97. What is the third biggest value in 0, -0.3, o?
o
Let k = -0.29 - 2.31. Let v = 0.6 + k. Which is the biggest value? (a) -5 (b) v (c) 5
c
Let m = 10.537 + -0.037. Let u = -0.5 + m. Let p = u + -12. What is the biggest value in 0.5, p, 3?
3
Let s = 93 - 93. What is the second smallest value in -0.1, 2/5, s, 3/7?
s
Let q(z) be the first derivative of 2 + 1/2*z**2 + 0*z. Let d be q(-4). What is the smallest value in -0.5, -1, d?
d
Let f = 0.07 + 0.03. Let m = -1/105 + 1/7. What is the third smallest value in 2/5, f, m?
2/5
Let k = 38 + -40. Let s be (-7)/9 + (-1)/(-1). Which is the third smallest value? (a) -1 (b) k (c) s
c
Let a = -0.43 + -3.37. Let c = a - -3. Let y = -0.6 - c. What is the third biggest value in y, -5/2, 1/4?
-5/2
Suppose 10 = -0*p + 5*p. Which is the biggest value? (a) 2/5 (b) p (c) 1/2
b
Suppose -5*g + 5*m + 4 = -26, -4*g - 2*m = -6. Which is the third smallest value? (a) 2/11 (b) g (c) 1/4
b
Let u(m) = -m**3 + 5*m**2 - m + 6. Let q be u(5). Suppose -5*p = 20 - 5. Which is the biggest value? (a) q (b) 1/10 (c) p
a
Let g = -11/6 - -13/6. Which is the second smallest value? (a) -1 (b) -0.3 (c) g
b
Let z = 0.7 - 1.1. Let d = 0 + 6. Let l be -2 + (d/(-4))/(-1). Which is the third smallest value? (a) 0.5 (b) l (c) z
a
Suppose -k = -4*m, k - 5 + 4 = 3*m. Let u be (9/18*10)/(-2 - -1). What is the biggest value in k, -3, u?
k
Let x = -0.005 - -0.305. Let f = 1043/2286 - 3/254. Which is the second biggest value? (a) -3/4 (b) f (c) x
c
Let g(i) = -i + 6. Let d be g(0). What is the | {
"pile_set_name": "DM Mathematics"
} |
t - v = -7. Suppose 2 = -3*n - j, -t*n + 5*j - 26 = n. Sort 4, n, 3.
n, 3, 4
Let s = 3 - 3. Let y be (-26)/(-10) + (-2)/(-5). Sort 5/3, y, s in decreasing order.
y, 5/3, s
Suppose 4*w - 2*w - 5*p = 15, 3*w - 20 = 5*p. Sort w, -3, 1, -2 in descending order.
w, 1, -2, -3
Let u = -15 - -22. Put 1/6, -0.5, u in ascending order.
-0.5, 1/6, u
Let r be (-2)/7 - (-52)/(-14). Let i(b) = 5*b**3 + b - 1. Let g be i(1). Suppose 14 = 5*u + 3*s, -2*u - g*s = -u + 6. Sort r, -3, u in decreasing order.
u, -3, r
Let z = -22 + 21.7. Sort -5, z, 4/5, 1/3.
-5, z, 1/3, 4/5
Let s = 89/588 - -3/196. Put s, -0.2, -5 in ascending order.
-5, -0.2, s
Let x = -2.6 - 2.4. Sort 0, 1/6, x.
x, 0, 1/6
Let j = 109 + -109. Sort j, 2, 4 in increasing order.
j, 2, 4
Let c be -2 - -4 - -1 - -2. Put c, 3, -11 in decreasing order.
c, 3, -11
Suppose 3*t = 4*g + 2 + 21, 4*t - 16 = -2*g. Sort 3, 0, g, 2 in descending order.
3, 2, 0, g
Let x(o) = -o**3 - 5*o**2 - 4*o - 2. Let h be x(-3). Sort 5, h, -5 in decreasing order.
5, -5, h
Let k = -62 - -58. Sort 3, 4, k, 1.
k, 1, 3, 4
Let a = 563/740 + -2/185. Put a, -0.1, -1 in ascending order.
-1, -0.1, a
Let b(t) = 2*t**2 - 17*t - 12. Let n be b(9). Sort n, -4, 2 in ascending order.
-4, n, 2
Let k = 0.8 + 0.2. Let f = -98 + 101.9. Let y = -4 + f. Put y, -2, k in descending order.
k, y, -2
Suppose -u = 4*u + 695. Let l = -212 - u. Let g = l - -437/6. Put 2/5, 0.1, g in descending order.
2/5, 0.1, g
Let d be (0 + -1)/((-8)/32). Suppose 0*h + h + 5*j - 9 = 0, -2*h + 4 = -d*j. Let u(t) = -t**3 + t**2 - 4. Let g be u(0). Sort g, 3, h.
g, 3, h
Let s = -0.07 - -0.17. Sort -5, 1/4, s in descending order.
1/4, s, -5
Let a = -11 - -14. Let n = 0.3 - 0.5. Put n, a, 2 in descending order.
a, 2, n
Let k = -13 - -13. Put 1, k, -0.2, 0.5 in ascending order.
-0.2, k, 0.5, 1
Let d = 29 + -30. Let l(i) = 10*i - 4. Let f(k) = -9*k + 3. Let a(v) = 5*f(v) + 4*l(v). Let n be a(d). Put 3, 0, n in descending order.
n, 3, 0
Let u = 0.49 + 0.01. Put 1, -3, u, -18 in descending order.
1, u, -3, -18
Suppose 0*g - 14 = 2*d + g, 2*d - 4*g + 4 = 0. Sort -5, d, -2, 5 in ascending order.
d, -5, -2, 5
Let n = -379/700 + -3/100. Let r = -1/27 + 7/27. Let s be 3/((-2)/(-8) + -1). Put n, s, r in descending order.
r, n, s
Suppose 8 = -b + 3*b. Let o(t) = t**3 + 3*t**2 - 3*t + 3. Let w be o(-3). Suppose -2*g + 0*v + 2*v = w, -16 = 2*g - 3*v. Put g, -3, b in increasing order.
-3, g, b
Let r(o) = -o**2 - 8*o - 5. Let m be r(-7). Suppose m*f = -2*p + 4, -f - 2*p - 3*p = 2. Sort 4, -5, f in ascending order.
-5, f, 4
Suppose -n + 2*u - 5 = 0, 25 = -6*n + n + 4*u. Sort -2, -0.5, n.
n, -2, -0.5
Let y be 2/3 - (-16)/(-33). Let d = y + 29/22. Put -5/2, -5, d in decreasing order.
d, -5/2, -5
Let k be (-9)/(-15) + -1 + (-162)/45. Put -5, -6, k in ascending order.
-6, -5, k
Suppose -b - 1 = 0, 1 = -6*n + 2*n - 5*b. Let j(u) = 3*u**2 + u + 2. Let l be j(-1). Sort l, -3, n.
-3, n, l
Let r(n) = -12*n - 20. Let w be r(-4). Put 5, w, -2 in descending order.
w, 5, -2
Let s = 0.1 + -0.06. Let m = 1 - -1. Sort -5, m, s in ascending order.
-5, s, m
Let j be 4/24*-1*(-3)/(-2). Put 1, 0.2, 0, j in ascending order.
j, 0, 0.2, 1
Suppose 0*v = -5*v - 45. Let b = v - -8. Sort 0.1, b, 1 in descending order.
1, 0.1, b
Let d be (-10)/(-6) + -1 - 0. Let w = 577 - 581. Sort 1/5, d, w in descending order.
d, 1/5, w
Let d(c) = -11*c + 3 + 10*c + 8. Let r be d(8). Put 6, r, -3 in ascending order.
-3, r, 6
Let c be ((-24)/40)/((-3)/2). Let q = 0.6 + -0.7. Let h = -0.3 - q. Put -0.1, h, c in ascending order.
h, -0.1, c
Let s be 22/35 - 13/65. Let d be (-3)/2*1/9. Put 5, d, s in decreasing order.
5, s, d
Let n(f) = f + 14. Let w be n(-10). Sort 3, -3, w, 1 in descending order.
w, 3, 1, -3
Let f be 0 + (0 - (2 - 4)). Sort f, 0, 0.5 in decreasing order.
f, 0.5, 0
Let s = -3 + -3. Let i = 6.4 + s. Suppose 2*k + 5 = 3. Sort 0.3, i, k.
k, 0.3, i
Let v = 18 - 12. Let y = v - 6. Sort 0.1, y, -2/11 in increasing order.
-2/11, y, 0.1
Suppose 0*o - 3*o + 9 = 0. Let c = 17 + -13. Suppose -s + c = -2*s. Sort s, o, -2 in descending order.
o, -2, s
Let o = -1.41 - 0.59. Sort o, -3/2, -4 in descending order.
-3/2, o, -4
Let x = 0.8 - 0.3. Let k(w) be the third derivative of w**6/120 + w**5/10 + w**4/4 + w**3/6 + 9*w**2. Let b be k(-5). Sort b, -0.5, x in ascending order.
b, -0.5, x
Suppose 0 = -0*h - 5*h. Let y = h - -12. Let u be (9/y)/((-18)/(-4)). Put 5, 4, u in increasing order.
u, 4, 5
Let q be 4/10 + (-21)/15. Let p be (q + -30)*(0 + -1). Let v = -216/7 + p. Put -0.2, v, 2/21 in ascending order.
-0.2, 2/21, v
Let g = 0.15 - -0.35. Put g, -5, 0.2 in descending order.
g, 0.2, -5
Let o = -1.9 + 1.5. Sort 3/4, -2, o.
-2, o, 3/4
Let f = 535/5643 - 2/513. Put -3, -5, f in ascending order.
-5, -3, f
Let p be -7 - ((-12)/4 + 6). Put p, 5, -3 in increasing order.
p, -3, 5
Let s(l) = l**2 + 9*l + 9. Let v be s(-9). Let w be 2 + v/((-6)/2). Let z be -1 + 1 - -1 - 0. Sort z, w, -4.
-4, w, z
Let q(s) = s. Let o be q(1). Suppose 5 = -3*y + w, 4*y = -5*w + 3*w - 20. Put o, 4, y in increasing order.
y, o, 4
Let y(o) = o**3 - o**2 - 4*o - 1. Let z be y(3). Let g = -16 - -9. Let p be ((-14)/g)/((-1)/(-2)). Sort p, 1, z in descending order.
z, p, 1
Let v = -5.9 - -6.4. Put -2/5, v, 2 in decreasing order.
2, v, -2/5
Let j = -950/63 - -104/7. Let y = 7.2 + -6. Let m = 1 - y. Put 1, m, j in descending order.
1, m, j
Let j be (3 + -1)/(5/10). Suppose 5*k - 11 = -3*r - r, 3*r = 12. Let l be (k - 3/(-5))/1. Put 0.2, j, l in descending order.
j, 0.2, l
Let w(z) = 3*z**2 - 1. Let h be w(1). Sort 6, -1, h in descending order.
6, h, -1
Suppose 2*q - 12 = -q. Sort q, -2, -4.
-4, -2, q
Let u = 38.7 + -38. Let f = 3.07 + -0.07. Put f, 3/8, u in increasing order.
3/8, u, f
Suppose u - 12 = 5*u. Let l = 1 + -1. Sort u, l, -5 in descending order.
l, u, -5
Let i = 2 + 6. Let d be 42/i - 10/40. Sort 3, -5, d in decreasing order.
d, 3, -5
Suppose -50*s = -54*s + 4. Let c be (-2)/4*0 + 0. Sort s, 8, c in descending order.
8, s, c
Let z = -9 + 9.4. Put -0.1, z, -2 in decreasing order.
z, -0.1, -2
Suppose -4*r - 21 = -9. Sort 4, r, -4 in ascending order.
-4, r, 4
Let r(g) = 2*g**2 + 9*g - 11. Let n(s) = -3*s**2 - 18*s + 22. Let j(u) = 3*n(u) + 5*r(u). Let a be j(8). Sort -4, a, 5 in decreasing order.
5, a, -4
Suppose -7*b + 3*b + 16 = 0. Let l(d) = -d**2 + 2*d + 5. Let u be l(b). Put 3/7, 3, u in ascending order.
u, 3/7, 3
Let y = -4 - -5. Sort -0.4, y, 2/17.
-0.4, 2/17, y
Let d = -0.1 - 0. Let u = -4.1 - -0.1. Sort d, 4, u.
u, d, 4
Let v be (-1)/(-6) + (-94)/(-12). Let d = v + -6. Let s(t) = -t**3 - 11*t**2 + 11*t - 13. Let n be s(-12). Sort d, 1, n.
n, 1, d
Suppose -2*w + 5*m = 29, 4*w + 18 = 4*m - 2*m. Sort -4, -3, w, 1 in ascending order.
-4, -3, w, 1
Let v = -88 + 93. Sort 2/41, v, -1.
-1, 2/41, v
Suppose 0 = 2*t + t. Let f be (-2 - -4)*6/9. Sort 3, f, t in descending order.
3, f, t
Let m be (-36)/90 + 38/70. Let h = -8 + 5. Sort h, m, 1/3 in decreasing order.
1/3, m, h
Suppose 3*t + 24 = 5*t. Suppose 5*n - t = n. Let p be 8/(-8) - 0/2. Put -2, n, p in decreasing order.
n, p, -2
Let t = 70 + -75.6. Let f = t - -5. Let w = f - -2.6. Put w, -3, 0.4 in descending order.
w, 0.4, -3
Let z = -233 + 2095/9. Let l = -1.97 + 2. Sort l, z, -0.3 in increasing order.
-0.3, z, l
Let a be (5/2)/(7/(-42)). Let p = a + 12. Suppose -m - 3*u + 15 = 0, 2*m + 0*m + 5*u = 26. Sort m, -0.2, p in decreasing order.
m, -0.2, p
Suppose 7*o = 8*o - 5. Sort 4, o, -1.
-1, 4, o
Suppose y + 12 = 4*y. Sort y, 5, -5.
-5, y, 5
Suppose 7 = f - 3*v + 2*v, -23 = -5*f - v. Put -1, -3, f in increasing order.
-3, -1, f
Let p = -8 + 5. Let d be (-6)/(-28)*(-2)/p. Let w = 5.4 + -5. Put d, w, 0 in descending order.
w, d, 0
Let f be 1 + (-2)/(-6)*0. Suppose -f = u - 0, -o + 2 = u. Put -4, o, 2 in descending order.
o, 2, -4
Let t = -28 - -28. Put 9, t, 2 in ascending order.
t, 2, 9
Let s(n) = -n**2 + 3*n + 1. Let y be s(4). Let i(c) = -c**2 - 5*c - 3. Let x be i(-3). Let d be (-4 - -2) + -3 + 5. Sort y, d, x in increasing order.
y, d, x
Let x = -13 + 13.17. Let k = x - 1.17. Sort 1/5, 5/3, k in descending order.
5/3, 1/5, k
Suppose 4*h - 3*p - 9 = 0, -5*p + 0*p + 11 = 2*h. Let q = h - 2. Let k = 8 - 11. Sort k, -1, q in descending order.
q, -1, k
Let l(h) = h**2 + h - 1. Let a be l(-1). Suppose -q - | {
"pile_set_name": "DM Mathematics"
} |
(4 - 5)*(3 + -1).
-2
Evaluate (15/(-85))/((18/(-4))/3).
2/17
Evaluate (-2 + 5)*(-1 + 20/15).
1
((-130)/1365)/(2/3)
-1/7
Evaluate (3/(-4))/(795/424).
-2/5
What is the value of (-785)/(-471) - 7/(-3)?
4
What is 2/8*0 + 8/(-6)?
-4/3
Evaluate (-6)/(-12)*-2 + -3.
-4
What is (5/(-15))/(19 + -20)?
1/3
Calculate 40/16*(-4)/(-85).
2/17
What is ((-29)/(-58))/((-1)/16)?
-8
(-440)/(-90) + -5 - 6/27
-1/3
4/3 - (-2)/(-6)
1
What is ((-7)/2 + 1)*-2?
5
0 + ((-42)/28)/(30/(-4))
1/5
What is (2 + 0)/(-1 + (-3 - 0))?
-1/2
8*(-6)/(-174 + 6)
2/7
What is (4 + 1)/(16 + -5 - 12)?
-5
Calculate 3/4 + 3/(-36)*-15.
2
What is the value of (110/77)/10*-1?
-1/7
What is the value of (6 - -4)/(-2)*8/(-10)?
4
What is (-6)/(-15) + (-32)/(-20)?
2
What is the value of 7/(-6)*-3 + (-4 - -2)?
3/2
Evaluate 1600/(-840) - 4/42.
-2
(1/(-1))/((-20)/(-60))
-3
Evaluate 6/28*(-420)/(-540).
1/6
(30/9)/(12 - 16)
-5/6
What is the value of ((-99)/44)/(-3)*16/42?
2/7
What is the value of (-3 + 8)*(1 + (-21)/30)?
3/2
30/(-165) + (-34)/132*-2
1/3
Evaluate 4 + -50*1/12.
-1/6
What is (-1 - -4 - 3)/(2 + -4)?
0
Calculate (-103 - -100)*(-5)/(-3).
-5
What is 4/30*(13 - 12)*15?
2
Calculate (-12)/10*6/(-27)*-15.
-4
Calculate (-58)/(-16) + (-36)/(-96).
4
Calculate (-10 + 5 - -6)/((-12)/42).
-7/2
Calculate (-10)/15*12/10.
-4/5
What is (-60)/(-140) + 25/(-42)?
-1/6
What is the value of (-43)/(-9) + (-30)/(-135)?
5
What is 30/40 - 81/12?
-6
What is the value of 1 - (-86)/(-18) - (-2)/(-9)?
-4
What is the value of (-6)/8 - (-5 - -5)?
-3/4
4/(-6) + 16/24 - 0
0
What is the value of ((-1326)/119 - -16) + (-10)/2?
-1/7
(-48)/90*(-30)/72
2/9
15/(-9) - -8*(-12)/288
-2
Calculate (-104)/286*(-22)/28.
2/7
24/(-14) - (-16)/8
2/7
Calculate 52/60 + 1/(-5).
2/3
Calculate 6/14 + 266/(-49).
-5
Calculate (-16)/(-20)*3/(-18).
-2/15
(-11 - 234/(-27))/(-1)
7/3
What is the value of 7 + (-17)/(1496/648)?
-4/11
Calculate -1 + 3 - (2 + 25/5).
-5
Evaluate -4*2*(-3)/(-84)*-14.
4
What is the value of 1 + (-15)/(-18) + -1?
5/6
7/6 - 325/195
-1/2
(5 + 35/(-6))*(-1 - 1)
5/3
What is the value of ((-8)/30)/(-18 + (-2288)/(-130))?
2/3
Calculate ((-40)/60)/((-14)/(-105)).
-5
Calculate ((-4)/(-10))/((-434)/70 + 7).
1/2
Evaluate ((-2)/(-14))/(4 - 50/10).
-1/7
Evaluate (-7)/(-3) - 40/30.
1
7/7 + ((-4)/(-2) - -4)
7
What is (-30)/(-48) + -3 - -2?
-3/8
Calculate (6/(-4))/((-17)/((-2618)/(-33))).
7
Evaluate 110/(-45)*(-42)/231.
4/9
Evaluate (-9)/(-3) + 51/(-18).
1/6
Evaluate -2*7/(5 - 54).
2/7
Evaluate -5 - -9*((-35)/(-65))/1.
-2/13
What is ((-9)/96)/((-175)/20 + 8)?
1/8
Calculate 16/5 + -6 + (-18)/(-6).
1/5
What is -4 + -4 + 8 + 3?
3
What is 1 + -2 - 3 - (0 + 0)?
-4
Calculate 37/37 + 2*2/4.
2
Evaluate (-4)/9 + 34/(-153).
-2/3
What is the value of (6/(-48))/(0 + (-3)/(-12))?
-1/2
Evaluate ((5/(-5))/1)/((-4)/16).
4
What is ((-8)/12)/(8/36*-3)?
1
Evaluate 24/10*(-9 + 51/6).
-6/5
What is the value of (-3)/(-2) - (-555)/(-330)?
-2/11
What is (-1 + 5/6)/((-365)/(-219))?
-1/10
Calculate ((-2)/(30/(-9)))/(3/15).
3
What is (-1)/(-7) + 9/35?
2/5
Evaluate (0 + 42/15)/(312/(-390)).
-7/2
Calculate 395/55 + -4 + (-294)/(-77).
7
30/70 + (-225)/(-63)
4
What is (6/6)/(1 - 2)?
-1
What is (20/(-6))/(4/6)?
-5
What is the value of 6/(-20)*(-4)/36*-3?
-1/10
What is the value of 1/(-2)*10/15?
-1/3
What is (1 - 3)*(34/(-28) - -1)?
3/7
Evaluate (-3)/(((-14)/(-21))/((-3)/(-9))).
-3/2
What is the value of (6/99)/(1 - (-30)/(-18))?
-1/11
Evaluate (-1*(-2)/(-18))/(26/(-156)).
2/3
Calculate (100 - 107)*(-2)/(-7).
-2
Calculate 1 + (0 - -2) - 620/248.
1/2
Calculate (-3 + 4)*8/(-32).
-1/4
Evaluate (-3 + 2)*1 + 15/9.
2/3
What is (5/(-15))/((-1)/(-9))?
-3
Evaluate (1 + 24/(-18))*-3.
1
What is the value of (-18)/(-63) - ((-800)/756)/(-5)?
2/27
((-2)/(-1) + 45/(-25))/1
1/5
Evaluate (-2 + 4)*26/(-234).
-2/9
What is the value of 20/15*(2 + 1)?
4
What is the value of ((-7)/(-4) + -2)/(15/36)?
-3/5
-5 - -5*(-7 - -9)
5
(-46 - -44)/(1/(-3)*-2)
-3
What is the value of 2 + (10/(-4) - -2)?
3/2
What is the value of (72/54)/((-12)/(-9))?
1
Evaluate (4/(-14))/(36/28).
-2/9
What is the value of 3/7 - (-4)/56?
1/2
What is the value of (((-90)/(-20))/(-1))/(18/(-4))?
1
((-280)/(-147) - 11) + 9
-2/21
Calculate (1224/84 - 10) + -5.
-3/7
What is (-12)/28 - (108/28 + -4)?
-2/7
Evaluate 3/(-2) - (-91)/56.
1/8
Evaluate 0 - (-5)/(-180) - (-6)/(-27).
-1/4
3/2*(-9 - 1527/(-171))
-2/19
What is ((-2)/5)/(624/60 + -9)?
-2/7
Calculate (165/66)/(3/(-6)).
-5
Calculate (-4 - 19/(-5))/(4/(-10)).
1/2
What is (-96)/(-198) - 4/6?
-2/11
What is the value of 40/12*(-6)/(-5) - -1?
5
Calculate ((-10)/35)/(520/105 - 5).
6
What is the value of (53/(-159))/(1*(-2)/(-6))?
-1
Calculate -2 + (-42)/(-9) + -3.
-1/3
Calculate 1*(2/(-8)*2)/(-1).
1/2
Evaluate ((-2)/((-6)/(-9)))/(21/(-7)).
1
What is the value of 63/(-135) + (-4)/(-30)?
-1/3
(0/(2 - (-2 - 0)))/1
0
What is (-24)/16*2/(-1)?
3
What is the value of ((-44)/(-12) - 3) + 0?
2/3
Calculate (3*6/(-9))/(23 - 21).
-1
(-48)/140 + (-5 - 180/(-35))
-1/5
Calculate -1 + 8 + -4 + 1.
4
Calculate (-12)/(-3) + (-1)/(-5)*0.
4
(2 - (0 - -3))*(34 - 28)
-6
What is the value of -7 - (-4)/(5 - 3)?
-5
What is (1/(-6))/(70/105)?
-1/4
(-6)/4 - -18*(-1)/(-20)
-3/5
What is ((-6)/(-7))/(550/(-140) - -5)?
4/5
What is -6 + (-17)/(-8) + 2/(-16)?
-4
What is the value of (-164)/52 + 3 - (-1 - -1)?
-2/13
Evaluate ((-8)/10)/((-1)/5*2).
2
What is (1/(-4))/((-6)/(144/(-33)))?
-2/11
What is (-2)/4*0/38?
0
Calculate -1*(-6 - -6 - 0) + -4.
-4
44/66*3*1/(-2)
-1
What is 5/(-1) - (48/(-4) + 9)?
-2
What is the value of (-23)/(-72) - ((-48)/(-27))/4?
-1/8
What is (-1)/((-40)/((-30)/6))?
-1/8
(6 - (-2366)/(-299)) + 2
2/23
Calculate 7 + (2 + -2 - 4).
3
Calculate 0/(3 - (9 + -5)).
0
Calculate (-1)/(-20) - (-25)/(-100).
-1/5
Calculate (-68)/20 - (-4)/10.
-3
What is 27/(-6) - -5 - 4/3?
-5/6
Calculate 1*(-1 - -6) - 0.
5
Evaluate 1/(-3) + (-1)/3*5.
-2
What is (-52)/(-6) - ((-63)/27 + 1)?
10
48/(-5) - 154/385
-10
What is the value of ((-20)/15 - -2)*-3?
-2
Calculate ((-16)/128*6)/((-30)/(-32)).
-4/5
What is the value of -6 + 3 + 5 + -4?
-2
Evaluate -1*1/(-6) - (-76)/(-168).
-2/7
Calculate 1*8/(-52) - (-138)/52.
5/2
Evaluate -3 + (-1 - (-1 - -2)).
-5
5/(-4) + (-375)/100
-5
What is 2/(-3) - 7*8/(-12)?
4
What is the value of 1/(((-5)/4)/5)?
-4
(2/(-8))/((-2)/(96/3))
4
Evaluate 8*1/16*-2.
-1
What is (36/39)/((-74)/(-481))?
6
Calculate (-76)/28 + -2 + 4/(-14).
-5
What is (-10)/50*(6 + 2/(-2))?
-1
What is the value of (2 - 18) + (0 - -9)?
-7
What is the value of 90/(-78) + 3 + 37/(-13)?
-1
What is the value of 16/6 - 2 - 8/18?
2/9
Evaluate ((-3)/(-6))/(7/(-14)).
-1
Evaluate (-713)/186 + 4 + 0.
1/6
What is the value of (-10)/((-20)/6) - (1 - 2)?
4
What is the value of (-1 - 1)*(-3)/(-18)?
-1/3
What is the value of (224/336)/((-5)/3)?
-2/5
39/36 + 3/(-9)
3/4
Calculate (-6)/(-16) - ((-675)/(-280))/3.
-3/7
Calculate 18/(-15)*12/18.
-4/5
-8 - (-296)/72*2
2/9
13 + ((-8)/14)/((-1)/(-7))
9
What is 24/(-4) - (-8 + -1)?
3
What is ((-6)/(-8))/(90/96)?
4/5
What is the value of 3/16*8/9?
1/6
-4 - (-1 + (3 - 1/1))
-5
Calculate (2 - 21/9)*6.
-2
-5 + 11 + -1 + -3
2
Evaluate (-2)/22 + (-351)/(-715).
2/5
What is the value of (12/18)/((-8)/(-36))?
3
What is ((-276)/11)/(-6) + (-10)/55?
4
Evaluate (-7 - -8)*(-1)/3.
-1/3
Calculate (-46)/(-322)*4/(-2).
-2/7
(-3 + 1)/((-107)/214)
4
Evaluate 21996/(-2223) + (-20)/(-2).
2/19
What is the value of 12/(-15)*20/5 + 3?
-1/5
Evaluate (-1 - 0)*0/(-22).
0
((-5)/(-25)*2)/(2/(-20))
-4
Calculate 74/518 - (-1)/91.
2/13
Evaluate (-899)/3255 + (-1)/(-7).
-2/15
Evaluate ((-38)/(-38))/((-1)/(-7)).
7
What is -3 + 38/4 - (-5)/(-10)?
6
Calculate -51 + 39 + (2 - -6).
-4
What is (-20)/(-150) - 9/(-45)?
1/3
-13*3/9 - -4*1
-1/3
What is 1/2 - 3/(-6)?
1
What is (-9 + -1 + 6)*(-5)/(-10)?
-2
17 + -16 - (-5)/(-7)
2/7
What is 0 - (4/(-22) + (-588)/154)?
4
What is (7 - 4) + ((-6)/15 - 3)?
-2/5
Calculate (0 - -9)*(-76)/(-2394).
2/7
What is -5 + 91/14 - (-6)/(-4)?
0
Calculate (8/(-14) - 0)/(-2).
2/7
Calculate -4 - (0 + -7 + -2).
5
Calculate (-2)/9 + (-28)/(-18).
4/3
Evaluate (-1 + 0)/(3/(-15)).
5
Evaluate (-18)/(-42) - (-88)/(-140).
-1/5
Calculate -4*(-2)/(-2)*(-12)/48.
1
Calculate (-22)/77 + 46/(-84).
-5/6
(-5)/(5/(-2))*(-1)/3
-2/3
-3 + 11 - (-5 - -8)
5
Calculate 1/4*2*(-4)/10.
-1/5
What is the value of (3 - (-10)/(-4)) + (-14)/4?
- | {
"pile_set_name": "DM Mathematics"
} |
0*y)*(-1 + 1 + 2*y)*(78 + 326 + 100).
1008*y**2
Expand (2*v - 3*v + 0*v)*((4 - 4*v - 4)*(-5*v**2 - v**3 + 5*v**2) - 3*v**3 - 2*v**4 + 3*v**3 + 0*v**3 - 3*v**4 + 0*v**3).
v**5
Expand (-3*a + 0*a + 2*a)*(4*a**3 + 0*a**3 + 0*a**3) + 0*a**4 - 3*a**4 + 4*a**4 - 3*a**4 + 0*a**4 - 2*a**4 + a**2.
-8*a**4 + a**2
Expand (-3*l - 4*l**2 + 3*l)*(3 - 3 - l**2) + l**4 + l**4 + 0*l**4 + 24 - 24 - 12*l**4.
-6*l**4
Expand (q + 2 + 380*q**2 + 294*q**2 + 256*q**2)*(2*q + 0*q + 0*q).
1860*q**3 + 2*q**2 + 4*q
Expand (-7*x + 1 - 1 - 7*x - 33*x)*(7*x - 5*x + 5*x).
-329*x**2
Expand (-3*l + 3*l + 2*l**2)*(8*l**3 - 1576 + 1576).
16*l**5
Expand (-3 + r + 4 + 2)*(118*r - 118*r + 109*r**2).
109*r**3 + 327*r**2
Expand (8*v - 19*v - 16*v)*(13*v + 13 - 13).
-351*v**2
Expand -10*b**2 - 5*b**2 + 6*b**2 + (-3*b + b + b)*(-b + 3*b - 4*b) - 4 + 4 + 2*b**2 + (3*b + 5*b - 6*b)*(2*b + 2*b - 3*b) + 0*b + 0*b + 2*b**2.
-b**2
Expand (0*q**3 + 0*q**3 - 2*q**3 + 5*q**3 + 17*q - 17*q + (-2 + 2 + q**2)*(2*q - 3*q + 3*q) + q - q - q**3)*(0 - 1 + 0).
-4*q**3
Expand (p - 4*p + 2*p)*(-4*p**2 - p**2 + p**2) + 8*p**3 + 5*p**3 - 2*p**3.
15*p**3
Expand (-10*n**2 + 40*n - 40*n)*(1 - 5 + 2)*(2*n - n**3 - 2*n) + (7 + 6 - 5)*(3*n**3 - 2*n**5 - 3*n**3).
-36*n**5
Expand (-4*u**2 + 4*u**2 + u**2)*(-4 + 1 + 1) + (-2*u - 2*u + 5*u)*(u + 2*u + 3*u)*(4 - 1 - 21).
-110*u**2
Expand (-4 + 4 - o)*(25 - 45 - 46) + ((-2 + 2 + 2*o)*(-4 + 2 + 0) - 2*o + o + 2*o + 2*o + o - o + 3*o + 1 - 1 + 1 - o - 1)*(-4 + 4 - 2).
64*o
Expand (193 - 185*t - 193)*(-4*t - 2*t**2 + 4*t).
370*t**3
Expand (826*o - 2*o**2 - 1655*o + 831*o - 47)*(0 - 1 + 0).
2*o**2 - 2*o + 47
Expand (d**2 + d**2 + 3*d**2)*(-2*d**3 - 2*d**3 + 2*d**3) + d**5 - 2795*d**3 + 2795*d**3.
-9*d**5
Expand 2*l**4 - l**3 + l**3 + (l - 3*l + 0*l)*(l**2 + l**3 - l**2) + 2*l**4 + 3*l**4 - 7*l**4 - 28*l**4 - 53*l**4 + 20*l**4.
-63*l**4
Expand (2 - 2 + 2)*(-3*h - 3 + 3 + (h - 2 + 2)*(0 - 4 + 2) + 4*h + 0*h - 2*h).
-6*h
Expand (-266 + 67 + 142)*(4 - z - 4).
57*z
Expand (-1 - 1 - 1)*((-c + 3*c + 0*c)*(2 - 3 + 2) - 5*c + c + 0*c) + c + 7*c - c - 8*c - 14 + 14.
5*c
Expand (4*t + 0*t - 2*t)*(-12*t - 22*t - 81*t)*(-3 - t + 3).
230*t**3
Expand -5*c**3 + 3*c**3 + 0*c**3 + (-6*c**2 + 3*c**2 + 2*c**2)*(-c + 3*c + 0*c) - 5*c**3 + c - c.
-9*c**3
Expand p**2 - 4*p**2 + 5*p**2 + (p - 3*p + p)*(-p + 0*p + 3*p) - p**2 + 0*p**2 - p**2 + 2*p**2 - 2*p**2 + p**2 + (-p - 4*p + 2*p)*(11*p + 15*p - 6*p).
-61*p**2
Expand l - l + l**2 + (0*l + l + 0*l)*(2*l + 2*l - 2*l) + 2*l**2 - l**2 + 0*l**2 + 0*l**2 + 2*l**2 + 0*l**2 - 7*l**2 + 0*l**2 - 70*l**2.
-71*l**2
Expand (-1 - 1 + 4 + 2*v)*(-2*v**4 + 3*v - 3*v) + (1 - 2 + 10)*(5 + 1 - 9)*(v - v + 3*v**5).
-85*v**5 - 4*v**4
Expand -2768*x**5 - 14*x + 3128*x**5 + 16*x + (4 - 3 - 3)*(x**5 + 0*x + 0*x).
358*x**5 + 2*x
Expand 4*n**2 + 4*n**2 - 3*n**2 + 0*n**2 - n**2 + 0*n**2 + (-n - 3*n + 2*n)*(n - 2*n + 0*n) - 4*n**2 + 3*n**2 + 3*n**2 + 10*n**2 - 4*n**2 + 32*n**2.
46*n**2
Expand (4 - 1 - 1)*(-5*t**5 + 4*t**5 - t**5) + (t**2 - t**2 - t**2)*(22*t**3 + 529*t**2 - 529*t**2).
-26*t**5
Expand (-3 + 4 + 3*d - 2*d + 2*d**2)*(4*d - 12*d - 2*d - 1).
-20*d**3 - 12*d**2 - 11*d - 1
Expand k**4 - k**4 + 2*k**5 + (-4*k + 5*k - 3*k)*(2*k**4 + 0*k**4 + 0*k**4) + 16*k**4 + 153*k**3 - 153*k**3 + 4*k**5.
2*k**5 + 16*k**4
Expand -18*a**4 - 5*a**5 + 18*a**4 + (-1 + a**2 + 1)*(-2*a**3 - 3 + 3) + 42*a**3 + 5*a**5 - 42*a**3.
-2*a**5
Expand (4*r**2 - r**2 - r**2)*(r - r + r**3) - 11*r**5 + 2*r**4 + 36*r - 36*r.
-9*r**5 + 2*r**4
Expand (-1 - 3 + 2)*((0 - 4 + 2)*(6 - 4 - 1) + 2 - 1 - 2)*(29 - 40 + 17)*(-8*s + 11 - 11).
-288*s
Expand h**3 - h**3 + 2*h**5 + (h**3 - 2*h**4 - h**3)*(1 - 1 + 2*h) + 22*h**5 + 16*h**4 - 8*h**4 - 6*h**4 + (h - 2*h - h)*(15*h - 15*h - 7*h**4).
34*h**5 + 2*h**4
Expand 573*s - 1157*s + 1525*s**5 + 582*s + (-4*s**4 - s**4 + 4*s**4)*(0*s - 2*s + s).
1526*s**5 - 2*s
Expand -12*w + 3*w**3 + 12*w + (-2*w**3 - w**3 + 2*w**3)*(4 - 14 + 19)*(0 + 2 - 3).
12*w**3
Expand (0*h + h**4 + 0*h)*((2 + 1 - 1)*(0 - 1 + 0) + 142 + 118 + 64 - 31).
291*h**4
Expand (1 + 0 - 2)*(-6*l + 90*l - 43*l + 74*l).
-115*l
Expand 4*l - 3*l - 2*l + (-2 + 2 + 1)*(-3 + 3 - 2*l) + 95*l - 16*l - 2*l.
74*l
Expand (-6*b**3 - 3*b**3 + 5*b**3)*(18*b**2 - b**2 + 0*b**2).
-68*b**5
Expand (0*i**3 - i**3 + 0*i**3)*(3 + 1 - 2 + ((-3 - 5 + 4)*(-1 + 4 + 0) - 3 + 1 + 0)*(-3 + 0 + 5)).
26*i**3
Expand -v**2 + 2*v**2 + 0*v**2 + (-v + 4 - 4)*(2*v - v - 2*v) + 0*v**2 + 0*v**2 - 3*v**2 + (6 + 0 + 3)*(-81 - 15*v**2 + 81).
-136*v**2
Expand (8 + 5 - 6)*(v**3 + 2*v**3 - 2*v**3 + (v**3 + 3*v**3 - 2*v**3)*(-2 + 0 + 3) - 133 + 133 + 4*v**3).
49*v**3
Expand (-n**3 + 0*n**3 - n**3)*(-21*n**2 - 704*n + 704*n) - 3*n**5 - 4*n**5 + 0*n**5.
35*n**5
Expand (-51*z + 4 - 45*z + 91*z)*(-3*z + z + 3*z) + 5 - 5 - 2*z**2.
-7*z**2 + 4*z
Expand (0 + 0 - 1)*(-6 + 5 - 2)*(-15 + 15 + 33*n)*(-1 + 1 + n).
99*n**2
Expand ((-7 + 3 + 2)*(2 + 1 - 2) + 6 + 2 + 7)*(-8 - 2 - 6)*(s**5 + 2*s**4 - 2*s**4).
-208*s**5
Expand -2*v - 1 + 1 + (-2*v + 0*v + 3*v)*(3 - 2 + 0) - 6 + v + 6 - 3*v + 9*v + 3*v + v + 0*v + 0*v - 5*v - v + 3*v.
7*v
Expand (37*t + 35 - 75 + 34)*(2 - 1 + 1)*(t**4 - 2*t**4 + 3*t**4).
148*t**5 - 24*t**4
Expand (434*m + 145*m + 261*m)*(-1 - 3 + 2)*(1 - 1 - 2*m**2).
3360*m**3
Expand (1 - 2 - 3*m + 9*m)*(0*m + 2*m - 3*m) - 9*m**2 + 3*m**2 - 5*m**2.
-17*m**2 + m
Expand (12*o + 11 - 11)*(-39*o - 18 + 18 - 2).
-468*o**2 - 24*o
Expand (3*d**2 + 4*d + 4*d - 9*d)*(-2*d**2 - 8*d**2 - 9*d**2).
-57*d**4 + 19*d**3
Expand 2 + 4*c + 8*c - 11*c + 0*c - c + 2*c + (-6*c + 3*c + c)*(-6 + 4 + 1).
4*c + 2
Expand -20*s**2 + 4*s**2 - 3*s**2 + 0*s**2 + 0*s**2 - s**2 + (2 - 5 + 1)*(-2*s + 2*s - 2*s**2) - s**2 - 3*s**2 - 7*s**2.
-27*s**2
Expand (-2 + 5 + 1)*(3*x**4 - 4*x**2 + 4*x**2) + (2*x**2 - 2*x**2 + 2*x**2)*(-x**2 + 1 - 1) + 5*x**3 - x**4 - 5*x**3.
9*x**4
Expand 4*s**4 - 7*s**4 + s**4 + (-2*s + 3*s + 4*s)*(3*s**3 + 0*s**3 + 2*s**3).
23*s**4
Expand (0 - 1 + 0)*(6*m + 0*m + 0*m + 4*m - 2*m - m + (-2*m + 2*m - 2*m)*(2 + 0 - 1) - 2*m - 3 + 3 + 3*m - 5*m + 3*m - 4*m + 4*m - 3*m).
-m
Expand (0 - 5 + 3)*(-43824 + 43824 + 1145*u).
-2290*u
Expand (17*l + 330 - 330)*(-2*l**2 + 0*l**2 + l**2) + l**3 - 3*l**3 - 3*l**3.
-22*l**3
Expand (-7*g - 7 + 7)*(2 - 3 + 0)*(4*g - 2*g + 2*g).
28*g**2
Expand (2*s + 2 + 0 - 4)*(6 + 2 + 0 + (4 + 0 + 2)*(1 - 3 + 3)).
28*s - 28
Expand -84*b - b - 15*b + 6*b - 5*b - 2*b - b + b - b + (-4 + 6 - 1)*(-b - 2*b + 2*b) + 0*b - 3*b + 7*b.
-99*b
Expand -c**5 - c**3 + c**3 + (2*c - 4*c + 0*c)*(-3*c**4 + 4*c**4 - 2*c**4 + (2*c**4 - 4*c + 4*c)*(2 - 3 - 2)).
13*c**5
Expand (4 - 3 + 1)*(3 + 0 - 6 + (0 - 5 + 3)*(2 - 3 + 0) + 0 - 3 + 2 - 5 + 4 - 6)*(w**3 - 4*w**3 + 2*w**3).
18*w**3
Expand -w**2 + w**2 + w**4 + (-12*w + 10*w + 10 - 5)*(-18*w**3 - 29*w**3 - 6*w**3).
107*w**4 - 265*w**3
Expand b**5 - b + b + (11 - 7 + 8)*(-3*b**4 + 3*b**4 - 3*b**5) - 2*b**5 + 4*b**5 + 0*b**5 + (3*b - 3*b - 2*b**5)*(1 - 3 + 0).
-29*b**5
Expand 4*m**4 - 4*m**4 - 10*m**5 + (2*m**2 + 2*m**2 - 2*m**2)*(2*m**3 - 5*m**3 + m**3).
-14*m**5
Expand (-4 + 0 + 2)*(37*s**3 + 26*s**3 + 6*s**3).
-138*s**3
Expand 3988*t**3 - 3988*t**3 - 4*t**5 - 4*t + t**5 - t**5 + t**5 + (2 - t - 2)*(-3*t**4 + 3*t**4 - 2*t**4) + 4*t**5 - t**5 + 0*t**5.
2*t**5 - 4*t
Expand (3 - 1 - 4)*(0*h - h**3 + 0*h) - 3*h**3 - 2*h**3 + h**3 + (0*h**3 + 2*h**3 - 5*h**3)*(14 - 4 - 6).
-14*h**3
Expand (-1 - 1 + 0)*(21*v + 0*v + 4*v)*(0*v - 2*v + 0*v).
100*v**2
Expand (1 - 1 - 2)*(z + 26*z + 43*z)*(-4 + 1 + 5).
-280*z
Expand (2*x - x + x)*(62 - 62 - 39*x)*(5*x - 3*x - 3*x).
78*x**3
Expand (-g + 14*g + 2*g)*(-g**4 + g**4 + 2*g**4).
30*g**5
Expand (1 + 2*d - 1)*((5 - 1 - 3)*(-2*d + 2*d + d) - 4*d + 4*d + 2*d + 65*d - 118 + 118).
136*d**2
Expand (-199 + v**2 - 83*v + 199)*(-2 + v + 2).
v**3 - 83*v**2
Expand (-2630 + 9*i + 2630)*(-i**2 - 4*i**2 + 3*i**2)*(28 - 10 - 9).
-162*i**3
Expand 3*q - 5*q + q + (-q - 10*q + 3*q)*(2 - 3 + 2) - 55*q - 73*q + 30*q.
-107*q
Expand -56*g - 64*g - 41*g + g + (0*g - g + 0*g)*(0 - 2 + 4).
-162*g
Expand (7*a - 2*a - a)*(-122*a - 28*a + 20*a).
-520*a**2
Expand (-2*s + 4*s - 4*s)*(-3 - 2 + 15)*(2 + 1 - 2)*(-4 + 3 - 1).
40*s
Expand (2 + 3 - 4)*(2755 - 4*s - 2755).
-4*s
Expand (-h + 4*h - 2*h)*(-3*h**2 - h**2 + 5*h**2) + 22*h**3 - 7*h**3 + 46*h**3 + 5*h**3 + 0*h**3 - 2*h**3 + (2*h**3 + 1 - 1)*(2 - | {
"pile_set_name": "DM Mathematics"
} |
x(9). Let q(b) = 2*b - 3. Does 5 divide q(w)?
True
Suppose 0 = 5*q + 5*l + 250, 3*q - l + 10 = -132. Suppose -61 = 4*y + 35. Let b = y - q. Is 12 a factor of b?
True
Suppose -4*v + 445 = 5*g, 215 = -0*v + 2*v + g. Is 13 a factor of v?
False
Let u(z) be the first derivative of z**4/4 + 7*z**3/3 + 3*z**2 - 6*z + 2. Is u(-5) a multiple of 13?
False
Let d be (-7)/(-2) - (-2)/4. Suppose 4*j - 10 = -i, -d*j + 2 = 3*i - 28. Is 10 a factor of i?
True
Suppose 215 = 5*b + 4*a, -4*b = -a - 118 - 75. Let d = b + -32. Does 10 divide d?
False
Let j be 1/(-3) - 44/(-6). Suppose -h + j*z + 13 = 3*z, -4*z = -4*h + 40. Does 6 divide h?
False
Suppose -5*a - 2*g - g + 9 = 0, -5*g = 10. Let u be 2/4*(1 + -3). Let r = a - u. Is 4 a factor of r?
True
Suppose 0 = 5*d - 4*l - 2, -4*d + 0*d = 2*l - 12. Is (-246)/(-8) + d/8 a multiple of 8?
False
Let j(u) = -22*u. Let g(h) = 32901*h. Let y(b) = -1316*b. Let a(r) = 4*g(r) + 99*y(r). Let c(q) = -2*a(q) - 121*j(q). Is c(1) a multiple of 11?
True
Let b = 37 + -15. Let c = -14 + b. Does 4 divide c?
True
Suppose 0 = -x - 4 - 4. Let g = x + 22. Does 7 divide g?
True
Suppose -n - 12 = -t + 3, 3*t - 2*n - 50 = 0. Is 3 + -5 + t + -1 a multiple of 4?
False
Let i(g) be the first derivative of g**2 - 2*g + 1/4*g**4 + 4 + 2*g**3. Is 10 a factor of i(-4)?
False
Suppose 0 = 5*l - 0*i - 2*i - 94, -2*i + 86 = 5*l. Does 17 divide 338/l - 4/(-18)?
False
Let s be (-1 + -17)/(1 + -3). Let t = s - 9. Suppose -5*z + t*z = -70. Is 13 a factor of z?
False
Let h = 45 - -45. Is h a multiple of 15?
True
Let a be 22 + 2 + (0 - 0). Suppose d + 5 = 0, -206 + a = -3*x + 4*d. Does 26 divide x?
False
Let d(q) be the first derivative of q**3/3 + 2*q - 1. Does 9 divide d(4)?
True
Suppose 94 = 2*j - j - 5*p, 5*j + 3*p - 358 = 0. Is 9 a factor of j?
False
Suppose 0 = -3*p - 0*p + 93. Suppose 5 + p = 3*o. Does 6 divide o?
True
Suppose 3*w = 5*f - 746, 5*f + 0*w - 4*w - 743 = 0. Is f a multiple of 23?
False
Let w = -151 - -250. Let f be -1*(1 - w/3). Does 8 divide (-15)/(-10)*f/6?
True
Suppose 3*t + 10 = 94. Let p = 52 - t. Does 12 divide p?
True
Let l(j) = -j**2 + 9*j + 10. Let s(n) = n**2 - 5*n + 2. Let u be (-1 - 5)*(-4 + 3). Let b be s(u). Does 9 divide l(b)?
True
Suppose -2*v - 302 = -2*q - 3*v, 4*q - 4*v = 628. Does 17 divide q?
True
Suppose -4*f + 194 = -62. Let s = 136 - 40. Let n = s - f. Is 16 a factor of n?
True
Let v = 42 + -28. Does 21 divide (v/21)/((-2)/(-69))?
False
Let c(y) = -y**2 + 11*y - 10. Suppose -6*j = -7*j + 8. Does 14 divide c(j)?
True
Let w(p) = 3*p**3 - 4*p**2 - 3*p. Let y be w(-2). Let h be 3*(-1 - 15/(-9)). Is 6 a factor of h/6 + y/(-6)?
True
Suppose 2*g + 2*g + 144 = 0. Let x = 66 + g. Does 10 divide x?
True
Let j(k) = 7*k**2 + 5*k + 3. Let s be j(-3). Suppose -5*z - s = 3*r, 4*z + 52 = -5*r - 46. Let f = r + 36. Is 7 a factor of f?
True
Is 6*((-176)/(-6) - 4) a multiple of 38?
True
Let h(y) = -y**3 - 7*y**2 - y + 5. Let x be h(-7). Let n(c) = 2*c**2 - 3*c + 3. Let i be n(2). Suppose -f + i*f = x. Is 2 a factor of f?
False
Let k(h) = -h**3 + 14*h**2 + 3*h - 25. Is 43 a factor of k(10)?
False
Let n(z) = -z**3 - 14*z**2 - 15*z + 10. Is 9 a factor of n(-13)?
True
Let u = -2 + 44. Does 14 divide u?
True
Let c(r) = r**2 + 5*r - 7. Let f be c(-6). Is 13 a factor of (-16)/f - (-3)/(-1)?
True
Suppose 0 = -2*m + 5 + 1. Does 2 divide m?
False
Let x be (-2 + (81 - -1))/1. Suppose -n = 3*n - x. Does 6 divide n?
False
Suppose h + 2*h - 63 = 0. Let g = 26 - h. Does 3 divide g?
False
Let h(o) = o**2 + 7*o + 2. Let s be h(-7). Suppose -2*t + t = 2, -10 = 3*c + 5*t. Suppose -s*v + c + 14 = u, -33 = -3*u + 3*v. Does 12 divide u?
True
Let o = 201 - 95. Is 17 a factor of o?
False
Let s = -56 - -23. Let k = -22 - s. Is k a multiple of 6?
False
Suppose 3*b - 4 + 1 = 0, -3*b - 447 = -5*l. Does 31 divide l?
False
Let c(j) = -4*j - 1. Let m(r) = 5*r. Let h(f) = 3*c(f) + 2*m(f). Let g be h(-4). Suppose -4*p + 27 = -g. Does 3 divide p?
False
Let b(h) = 7*h - 59. Let s(c) = -20*c + 176. Let m(t) = 7*t**2 - 2*t + 1. Let a be m(1). Let r(i) = a*s(i) + 17*b(i). Is 20 a factor of r(0)?
False
Suppose r = 3*r + 4. Is 23 a factor of -2 - (-3 + -20 + r)?
True
Let w = 113 + -8. Does 15 divide w?
True
Let l(b) = -15*b + 1. Let f be -3 - 0 - -3 - 1. Does 12 divide l(f)?
False
Let w(c) = c**2 + 6. Let b be w(0). Let p(z) = 8*z - 6. Does 21 divide p(b)?
True
Let j(v) = v**3 + 7*v**2 - 7*v + 8. Let r be j(-8). Suppose r*i + 144 = 3*i. Is i a multiple of 29?
False
Let d(f) = -f - 9. Let k be d(-9). Suppose 5 = -k*h + h. Suppose 3 + h = 2*m, -76 = -2*x - m. Does 12 divide x?
True
Let u = -114 - -196. Is u a multiple of 9?
False
Suppose 21 = 3*i - 3*h + 3, -i + 18 = 5*h. Suppose -i - 2 = -2*p. Is 3 a factor of p?
False
Suppose 4*r + 2*h - 50 = -14, -2*h = r - 15. Let s(y) = y - 3. Let z be s(r). Let f = 20 - z. Is 5 a factor of f?
False
Let t(x) be the second derivative of x**3/2 + 2*x**2 - x. Is t(4) a multiple of 8?
True
Let q(r) = -r + 4. Let n be q(-6). Let z = n + -17. Is 21 a factor of (0 - (-1 - -4))*z?
True
Suppose -t = 3*t + 2*o - 16, -18 = -t - 4*o. Suppose m = -3*f - t*m + 96, 0 = 4*f - 3*m - 163. Does 10 divide f?
False
Let f = 560 + -392. Is 28 a factor of f?
True
Let i = 88 - 55. Is i a multiple of 3?
True
Suppose 5*c - 378 = -c. Is c a multiple of 25?
False
Let w(z) = 3*z - 3. Does 6 divide w(3)?
True
Let f = 292 + -172. Is f a multiple of 24?
True
Let i = 7 + -8. Let p be (-1 + i - -2)/2. Suppose -w = -2*f + 40, 5*f + p*w - 93 = -w. Is f a multiple of 8?
False
Let y(a) = a**2 - 3*a - 4. Let d be y(3). Let w be ((-2)/d)/((-2)/(-56)). Let r = w - -10. Is 12 a factor of r?
True
Let r(x) = -2*x**3 - 9*x**2 - 4*x - 12. Is r(-6) a multiple of 20?
True
Suppose 0 = 6*p - 7*p + 195. Is 29 a factor of p?
False
Suppose 26*f = 27*f - 45. Is f a multiple of 8?
False
Let h = -254 + 401. Does 49 divide h?
True
Suppose 0 = -2*y - 8, -3*y - 321 = -5*i + y. Does 15 divide i?
False
Let n = -64 - -7. Is 2/(-2) + n/(-3) a multiple of 9?
True
Let c(f) = -3*f**3 + 3*f**2 + 2*f - 2. Let h be c(3). Let s = -32 - h. Is 9 a factor of s?
True
Suppose 0*j + 5*j = -3*x + 134, 4*x - 3*j - 227 = 0. Let c = x + -13. Is 18 a factor of c?
False
Let f = 15 + 15. Is 7 a factor of f?
False
Let n(q) = 8*q**2 + q - 1. Let m = -8 + 5. Let t be n(m). Suppose s + 3*s = t. Is s a multiple of 17?
True
Let w = 11 - 11. Suppose w*d + 4*d - 148 = 0. Is 12 a factor of d?
False
Let r = 125 - 77. Does 6 divide r?
True
Let c = -298 + 422. Is c a multiple of 20?
False
Let t(l) = 2*l**2 - 9*l + 1. Let a be t(6). Let y = a - 5. Does 7 divide y?
True
Let j(u) = -u**2 - 10*u. Let v be 60/(-9) - 2/(-3). Does 13 divide j(v)?
False
Suppose 18*k - 14*k - 352 = 0. Suppose -l = 2*t - 4*l - k, -2*t = 4*l - 88. Does 23 divide t?
False
Let u be (-15)/(-2)*(-8)/(-12). Let x(v) = v**3 - 3*v**2 + 2*v + 3. Let j be x(3). Suppose u = s - j. Does 10 divide s?
False
Let h = -128 - -216. Is h a multiple of 22?
True
Let b be (3/(-2))/(6/(-80)). Suppose n + 2*v = 5*n - 24, 0 = 5*n - 5*v - b. Does 3 divide n?
False
Let y = -84 + 269. Is y a multiple of 37?
True
Let l(m) = 46*m**2 - 8*m - 3. Is l(3) a multiple of 43?
True
Let r be (-2 - -2 - -6)*1. Suppose -2*c + r*c + 2*j - 92 = 0, 0 = 5*c - 2*j - 106. Does 22 divide c?
True
Let n(z) = z**2 + 4*z - 7. Let q be n(-6). Let a = 403 - 235. Suppose 3*h + 0*r = r + 92, q*h = -2*r + a. Is h a multiple of 16?
True
Is 2*(-1 + -1)*(-50)/5 a multiple of 20?
True
Let r = -8 + 11. Suppose 2*f - 4 = r*f. Is ((-8)/(-2))/(f/(-8)) a multiple of 4?
True
Suppose q + 3*q = 24. Let p(c) = 2*c**2 - 6*c + 5. Let a be p(q). Is 13 a factor of -1*(-2 + 3) + a?
False
Suppose 4*i = -10 + 130. Does 30 divide i?
True
Let a(d) = 3*d**3 - 2*d - 1. Let z be a(-1). Let c be (-2 - z - 1)*-2. Suppose -2*u = -2*o + 58, -c*o - u = 4*u - 51. Is o a multiple of 14?
True
Let y = 124 - 13. Is y a multiple of 37?
True
Let g(j) = 3*j**2 - j - 2. Is g(-2) a multiple of 3?
True
Let y = 687 + -482. Is y a multiple of 34?
False
Let i(r) = -7*r**3 + 9*r**2 + 2*r + 8. Let g(j) = -8*j**3 + 10*j**2 + 2*j + 9. Let v(c) = -6*g(c) + 7*i(c). Suppose 0*d + 12 = 4*d. Does 4 divide v(d)?
True
Suppose -3*a = -8*a + 520. Is 17 a factor of a/6 - (-2)/(-6)?
True
Let x(j) = j**3 - 7*j**2 + 8*j + 2. Let l(p) = p**3 - 2*p**2 + 3*p. Let z be l( | {
"pile_set_name": "DM Mathematics"
} |
= 2*x - 4*x, 5*k - 7 = 4*x for k.
3
Solve 3*g = -4*d + 23, -g + 3*d - 49 = -48 for g.
5
Solve -4 = -4*r + 3*g, 2295 = 4*r - 5*g + 2299 for r.
4
Solve 0 = 5*l - p - 23, l - 4641*p - 1 = -4639*p for l.
5
Solve -2*s - 25 = -3*x, s - 59 = x - 69 for x.
5
Solve -4*b - 3*j = 23, -4*b + 29 = -6*b - 5*j for b.
-2
Solve -d + k + 9 = 0, 10*k = 4*d - d - 62 for d.
4
Solve 0 = -5*m + 3*n - 30, 0 = -5*m + 1480*n - 1481*n - 10 for m.
-3
Solve 4704 - 4690 = 4*p + r, -p = 4*r + 4 for p.
4
Solve 0 = -65*x + 68*x - 2*o - 6, x + 11 = 5*o for x.
4
Solve 0 = -2*z + 15*y - 54, 3*z + 5*y - 31 = -2 for z.
3
Solve -5*l - 18 = -2*z, 147*z = 147*z - 3*l - 12 for z.
-1
Solve 8*q - 6*q + 21 + 16 = 3*o, -1 = 17*q + 3*o for q.
-2
Solve 3*y + 81 = 5*n + 98, 0 = -5*y - 2*n - 13 for y.
-1
Solve j = -l - 12, -62*l - 2*j - 59 = -55*l for l.
-7
Solve 4*v - 5*m = -11, 114*m = 5*v + 116*m - 11 for v.
1
Solve h + 7 = -2*a, 12*h = -2*a + 10*h - 8 for a.
-3
Solve 850*j + 2*s = 848*j + 4, 5*s = 3*j + 26 for j.
-2
Solve -75 = 5*p - 2*f, -2*p - 3*f + 7236 = 7266 for p.
-15
Solve -5*f + 8*o - 423 = -458, 10 = -2*o for f.
-1
Solve 5*r + 24 = -2*s + 13, 2*s + 8 = -4*r for r.
-3
Solve 430*i + r = 432*i + 20, 3*i - 4*r + 60 = 0 for i.
-4
Solve 4*g - 4730*b = -4725*b - 32, 4*g = -5*b + 8 for g.
-3
Solve t = 1, 37 = -5*c - t + 41 - 38 for c.
-7
Solve -5*a = 5*k - 8*k + 14, -10 = -5*k + 5*a for k.
-2
Solve 14*w - 33*w + 112 = -5*j, -4*j - 3*w = 35 for j.
-11
Solve -2*r + 35221 = -3*z + 35225, 2*z - 20 = -3*r for r.
4
Solve -2*n = -y + 607 - 615, 5*n = 2*y + 20 for n.
4
Solve g - 670 = 5*y - 681, -y + 2*g - 5 = 0 for y.
3
Solve -6*b + 37 - 7 = 4*d, 0 = 2*d - 6 for b.
3
Solve -5*v = -o - 68 + 72, -2*v = 3*o - 12 for v.
0
Solve -3*q - h + 12 = 9, -3*q - 6*h + 3 = 0 for q.
1
Solve 4*j = -a + 11, -5*j = -64*a + 62*a + 22 for a.
11
Solve -2*d + 16 = 143*o - 148*o, 5*d - 40 = -5*o for o.
0
Solve -2*m + 1005*j = 1008*j + 3, 4*m = 40*j + 132 for m.
3
Solve 4*s - 64 = 216*g - 220*g, 0 = -2*s + 3*g - 38 for s.
2
Solve -5*o + 592 - 605 = 3*x, -18 = 3*x for o.
1
Solve 7*y - 33 = -w, -y = -62*w + 60*w + 6 for y.
4
Solve -2120 + 2104 = 7*f + 5*c, 5*f = c + 16 for f.
2
Solve -4*p - 9*r + 28 = -13*r, -2*p - 1 = 3*r for p.
4
Solve -2*f + 4*n = -10, 5*f - 7*n + 117 = 136 for f.
1
Solve 1681 = -x + 3*s + 1678, 3*s = 2*x + 3 for x.
0
Solve -4*t = 2*h - 8, -t - 3 + 5 = 4*h for h.
0
Solve -49 = 3*a - 5*l, 2*a - 2830*l - 34 = -2835*l for a.
-3
Solve 540*o = 538*o + 2, 5*o - 25 = 2*g for g.
-10
Solve 0 = -5*y + 3*m, -3*y = y - 5*m - 0*m for y.
0
Solve 600*b - 596*b + w - 1 = 0, 0 = 21*b - w + 26 for b.
-1
Solve 0 = -5*h - 4*j - 33, -4*j + 2 = 38*h - 40*h for h.
-5
Solve 3*b - 2*b = 3*j - 5, 4*j + 5*b - 32 = 0 for j.
3
Solve 2*a + 201 - 173 = -f, 2*a + 12 = 3*f for f.
-4
Solve 0 = -z - 2, -7839*j + 20 = -7835*j + 4*z for j.
7
Solve -5*d + 5404 - 5394 = 4*b, 30 = -5*d + 4*b for d.
-2
Solve -k + 29*u + 20 = k + 33*u, 4*u = -4 for k.
12
Solve 3*g + 12 = 0, 147*g - 145*g + 16 = 4*i for i.
2
Solve 109*m = 2*o + 108*m - 10, 5*o - 5*m - 30 = 0 for o.
4
Solve 119*s - 117*s + 30 = 14*a, 0 = -a - 3*s - 23 for a.
1
Solve -m = -4*k - 7, 106*m + 20 = 105*m - 5*k for m.
-5
Solve -i + 5*i = 3*a, -i = -0*a + 3*a for i.
0
Solve -p + 160*d + 8 = 159*d, p = 3*d + 28 for p.
-2
Solve -133 + 160 = 4*n + 3*r, 4*r - 52 = 0 for n.
-3
Solve -5*i - 64 = 17*u + 155, 45 = -3*u - 3*i for u.
-12
Solve 51*b + 4 = 53*b, 4*c - b - 10 = 0 for c.
3
Solve 0 = -4*y + 4, 0 = 40*z - 35*z + 3*y + 2 for z.
-1
Solve -g + 426 = 5*h + 399, 6*g = h + 69 for g.
12
Solve -35*l = 2*z - 22*l + 31, -3*z = 4*l for z.
4
Solve -5*s + 5*o + 287 = 202, 4*o - 40 = -2*s for s.
18
Solve 0 = 5*z - 28*x - 92, -4*z - 4 = -6*x + 3*x for z.
-4
Solve -20*j + 15 = 2*m - 17*j, 4*m - 5*j + 3 = 0 for m.
3
Solve -1644*x + 1642*x = 3*h - 7, -6 = 2*h - 4*x for h.
1
Solve 5*v - 132419*q - 40 = -132424*q, 2*v = -q + 8 for v.
0
Solve -5*s + 3 = -n, -1545*s = -1548*s - 6*n + 15 for s.
1
Solve 0 = -3*g + 9, 1930*s - 1925*s + g = -17 for s.
-4
Solve 3*j + 2*k + 13 = 0, -62*k + 63*k + 66 = -10*j for j.
-7
Solve 20*l = -4*c + 28, 515 = -2*l + 2*c + 513 for l.
1
Solve 0 = -z, 2 = -u + 2*u + 4*z + 4 for u.
-2
Solve -j - 3*q + 33 - 12 = 0, 0 = 5*q - 15 for j.
12
Solve 3*u + 5*g - 10 = 0, -u - 30 = 56*g - 61*g for u.
-5
Solve 5*f - 49 = -k + 12, 2*k = 5*f - 58 for k.
1
Solve 2*m + 47 = 3*q, 129*m - 124*m - 3*q + 59 = 0 for m.
-4
Solve 12*w + 9*g - 13*g = -88, 0 = 2*w - 4*g + 18 for w.
-7
Solve -62*n = -4*b - 57*n + 4, -b = 4*n + 20 for b.
-4
Solve -29*k - m - 8 = -31*k, 0 = -3*m + 6 for k.
5
Solve -76*w + 72*w = b - 17, -11 = -4*w + 5*b for w.
4
Solve 0 = -i + 2*n - 22, 5*i + 3*n = 731 - 711 for i.
-2
Solve -3*h = -9, z + 11*h - 13*h + 15 = 0 for z.
-9
Solve -z = 2*p + 2, -5*p - 5 = 192*z - 190*z for z.
0
Solve 22335*r = 22338*r + 2 - 5, -5*k = -5*r + 5 for k.
0
Solve -2*c - 8 = -l - 2, -4*l = c - 60 for l.
14
Solve 2*l - 2 = 2*b, 6*b - 3*l + 23 = 13*b for b.
2
Solve -338*q = 5*m - 343*q + 15, 2*m - 4*q = -12 for m.
0
Solve -261*d - 16 = x - 257*d, 9*x - 2*d = -106 for x.
-12
Solve -3463*i + 3461*i = 2*a + 16, a - 5*i - 34 = 0 for a.
-1
Solve k + 1110*i + 17 = 1108*i, -5*i - 32 = k for k.
-7
Solve -5*g = 10, n + 1560 - 1555 = -4*g for n.
3
Solve 2817*f - 13 = -5*y + 2820*f, 4*y - 4*f = y + 21 for y.
-1
Solve 12*p - 5*z - 51 = 14*p, -z + 34 = -3*p for p.
-13
Solve 5*b + 3*j = -3, 4*b + 2*j - 141 + 145 = 0 for b.
-3
Solve -1108*n + 1109*n + 4*p = 22, 0 = 5*p - 25 for n.
2
Solve -s + 15 = -k, -k + 1544*s - 1549*s = -87 for k.
2
Solve -399*g + 401*g + 5*k = -3, g - 2*k + 6 = 0 for g.
-4
Solve -23 - 19 = 25*y - 2*k, 0 = 286*k - 290*k - 16 for y.
-2
Solve 11689*l - 11672*l - 4*m + 94 = 0, 0 = 2*l + 2*m + 16 for l.
-6
Solve 3*m = -4*k - 53, 0 = -2*m - 5*k + 8 - 55 for m.
-11
Solve -2*j = 5*m - 23, 42*j - 4*m + 4 = 40*j for j.
4
Solve 3*p - 15 = 0, -7214*p + 35 = -2*d - 7209*p for d.
-5
Solve y + 4*l = -14, 0 = -5*y + 4*l + 3980 - 4050 for y.
-14
Solve t + 0 = 6*l + 7, 4*l = -4*t + 28 for l.
0
Solve -4*p + 17 = -312*f + 314*f - 3, -3*f - p + 30 = 0 for f.
10
Solve 29*a + 2*q - 52 = 34*a, -2*q + 2 = 0 for a.
-10
Solve -4*m + 53 = -5*y, -63*m - 5*y - 67 + 148 = 0 for m.
2
Solve 4*f = -3*c - 31, 203*f + 11 = 192*f for c.
-9
Solve 0 = -3*f + 2*c - c + 36, -135 = 77*c - 72*c for f.
3
Solve 0 = b - 5*o - 28, -1918*b - 2*o - 4 = -1916*b for b.
3
Solve -4*l = -5*h, 2*l - 6*l = 18*h - 21*h for l.
0
Solve -10*p - 50 = 7*f - 5*p, 2*p - 4 = 2*f for f.
-5
Solve -3*y = -2*t + 11, -3*t + 19 = -81*y + 76*y for y.
-5
Solve -3*h + 1 = 4*q, -5*q - 3*h = -45 + 40 for q.
4
Solve -4*z - 48 = 4*a, 12*z + 10 = 5*a + 7*z for a.
-5
Solve -54*k = -49*k - 2*p + 27, 3*p = 2*k - p + 14 for k.
-5
Solve 40 = 5*t - 4*z, -119 = 5*t - 6*t + 23*z for t.
4
Solve -3*r - 2*f + 245 = 266, r - f = -7 for r.
-7
Solve 0 = g - 591*r + 594*r - 2, -4*g - 4*r = -16 for g.
5
Solve 84 = 7*x, 730*b = 731*b + 3*x - 41 for b.
5
Solve 0 = 3*i + 4*h - 78, 9930*i - 9930*i - 3*h + 54 = 0 for i.
2
Solve 0 = 5*n + 2*m + 12, -67*n + 63*n = 5*m + 13 for n.
-2
Solve -5*j + 20 = 0, 2468 = 4*k + 4*j + 2436 for k.
4
Solve 6 = 3*b - 3*n, -34*n + 33*n + 3 = 3*b - 15 for b.
5
Solve 21 = -13522*a + 13519*a - 3*n, 3*a - 3*n = 9 for a.
-2
Solve v + 5*z = 33, -v - 1269*z = -1066*z - 1221 for v.
3
Solve 27*k + 4*y = -70, -16*k + 17*k + 22 = -5*y for k.
-2
Solve m - 3*h = 0, 13*m - 15*m + 2*h = 8 for m.
-6
Solve -a = b + 20, -72*a + 76*a + 80 = b for a.
-20
Solve -2*w + 4 = 2*y, 0*y = 3*w - 3*y for w.
1
Solve o + 5*b = 7, -42*o + b - 5 = -41*o for o.
-3
Solve 744 = o + 3*f + 761, 3*o - 9 = 3*f for o.
-2
Solve k + 5 = 13*z - 11*z, 10 = 2*k for z.
5
Solve 5*y - k + 35 = 0, -76*y + 4*k - 5 = -83*y for y.
-5
Solve 15 = 3*r + 6*o - 27, -4*r + 4*o - 4 = 0 for r.
4
Solve 41*s - 3*a + 36 = 46*s, -5*s + 3*a + 54 = 0 for s.
9
Solve 3*n = -2*z - 28, 5*n + 5*z + 5769 = 5709 for n.
-4
Solve -6 = -3*r - 5*m, -6*m + 10 = -668837*r + 668842*r for r.
2
Solve 3*i + 29217 - 29211 = -3*r, -2*i = -4*r - 26 for r.
-5
Solve 3*y + b + 15 = 0, -3*y = -201*b + 203*b + 15 for y.
-5
Solve 165*i - 167*i = -2*p - 32, 5*p + 6*i = -58 for p.
-14
Solve -2536 = -v - 5*i - 2522, 3*v - 2 = -5*i for v.
-6
Solve -4*i - 2*z = 16, -81*z = -4*i - 77*z - 16 for i.
-4
Solve -5*p + 5 = 3*t, 3*p + 3*t + 3469 - 3466 = 0 f | {
"pile_set_name": "DM Mathematics"
} |
-1367?
3/2
What is the fifth smallest value in 3/7, 2, -4, -2/27365, -3/34, 1/2, 1?
1/2
What is the second smallest value in 1/2, 544.93, 3, -5?
1/2
Which is the fifth smallest value? (a) -3 (b) 1.112 (c) 4 (d) -1657 (e) -0.4
c
What is the third smallest value in -5, -1/7, -4, -0.4945?
-0.4945
Which is the third biggest value? (a) 5 (b) 0.1 (c) 77 (d) -393 (e) -0.05
b
What is the fourth biggest value in -8343, -3.6, -5/7, 2, 5?
-3.6
Which is the second smallest value? (a) -0.03 (b) -1 (c) 9349 (d) -0.7
d
What is the biggest value in 1, 0.1, -0.6789658?
1
What is the second smallest value in 26, 1.3, -61, -1, 0.5, 0.06, 9?
-1
Which is the fourth smallest value? (a) -4 (b) 213 (c) -1/151 (d) -3 (e) 0.8
e
Which is the third smallest value? (a) 36143304 (b) -2 (c) -0.2
a
Which is the smallest value? (a) 1.432 (b) 7/44 (c) -1/5
c
What is the second smallest value in -0.171, 0.5, 3/5, -15/7, -5, 80.6?
-15/7
Which is the fourth biggest value? (a) 0.75 (b) 0.8 (c) 1/33 (d) 4/7
c
Which is the third biggest value? (a) -2 (b) 349/2 (c) 5 (d) -0.4 (e) -2/3 (f) 3.84 (g) -4
f
What is the fifth smallest value in -0.1, -4, -0.5, -1.568, 5, -20/13, 0?
-0.1
Which is the second smallest value? (a) -1 (b) 140/11 (c) -193/267
c
Which is the third biggest value? (a) 18.8 (b) 1013 (c) 12 (d) 0.2
c
Which is the fifth smallest value? (a) 6 (b) 0.3 (c) -3 (d) 93 (e) -1/6 (f) -8 (g) 0.4
g
What is the second biggest value in -342, -3, 0.8, -1/2, 2/2711?
2/2711
What is the seventh biggest value in -1/7, 5, -16/35, -3, -4, 9/142, -5?
-5
What is the second smallest value in 2, 1/311, 4, 18, -6, 134?
1/311
Which is the smallest value? (a) -0.5 (b) -0.3 (c) -27 (d) -2 (e) 0.2 (f) 0.639
c
What is the fourth smallest value in -1/5, -370467, 1, -2, 2?
1
What is the fourth smallest value in -12, 178246/9, -1, 2?
178246/9
What is the third biggest value in -0.3, -2/21, 23897, 1/2, 13?
1/2
Which is the second biggest value? (a) 147 (b) 0 (c) 98.8 (d) -2/39
c
What is the sixth biggest value in -1, -5, -4/5, 1, 55532, 0.2?
-5
Which is the smallest value? (a) 3/7 (b) -3 (c) 2/9 (d) 393/53 (e) -1/6
b
Which is the third smallest value? (a) -2 (b) -5686672 (c) -0.3
c
What is the fifth smallest value in 10, -0.5, -0.9, 0.81, -150, -2, -1?
-0.5
Which is the second biggest value? (a) 2631 (b) -464 (c) -11 (d) 4
d
What is the sixth biggest value in -10, 635, -4, 1.19, 2/5, 1?
-10
Which is the second smallest value? (a) -5 (b) 1/4 (c) 7 (d) 3 (e) 0.74 (f) 58 (g) -0.11
g
Which is the sixth smallest value? (a) 557 (b) 5/2 (c) 3 (d) 2 (e) -20 (f) 1
a
Which is the third smallest value? (a) -8 (b) 0.08 (c) 713 (d) 0.44
d
Which is the sixth biggest value? (a) -0.5 (b) 1 (c) -10 (d) -0.1 (e) -22/9 (f) 2/5 (g) -3
g
What is the second biggest value in -8.586, 3.3, 2/2249?
2/2249
What is the fourth biggest value in -0.03, -2/9, -15/49, 441?
-15/49
Which is the fifth biggest value? (a) -0.6 (b) -0.4 (c) -5 (d) -24/29 (e) -2/7 (f) 0 (g) 4/11
a
Which is the biggest value? (a) 7/13 (b) -1/4 (c) 182 (d) 2/87
c
What is the fourth biggest value in -4, 0.012, -107, -2513?
-2513
Which is the third smallest value? (a) -0.04 (b) 27333 (c) 1/18
b
What is the biggest value in 7, -12/31, -3, -113, 1/5?
7
What is the third biggest value in 3, -247, 0.2, 2070?
0.2
Which is the second biggest value? (a) -2 (b) 5/4 (c) 221 (d) -446
b
What is the smallest value in -22/7, 0.056608, 8?
-22/7
What is the third smallest value in -3492, -2, -1, -0.4, 0, 4, -0.3?
-1
Which is the second biggest value? (a) 5 (b) -158 (c) 43.56
a
What is the second biggest value in 3/4, -547/8, 0.03, 76/59?
3/4
Which is the second biggest value? (a) 32 (b) 0.271 (c) 0.5 (d) 0.11 (e) 8.8
e
What is the smallest value in 120701, 0, 16, 5?
0
Which is the second smallest value? (a) 2056 (b) -202 (c) -0.177 (d) 5
c
What is the fifth smallest value in -1, -1863/2, 164, -20, 0.5?
164
What is the fourth smallest value in -1/3, 27, 0, -2/12415, 1, 7/8?
7/8
What is the biggest value in 11, -7/15, -0.01725?
11
What is the fifth smallest value in 0.4, 0, -0.4, 15, 0.06, 2, 15/47?
0.4
Which is the second smallest value? (a) -4 (b) 1.4 (c) -0.11 (d) 3 (e) 0.16
c
What is the third biggest value in 0.15, 0.3, -1.1, -4/7, -0.1, 0.1159, 2/19?
0.1159
Which is the biggest value? (a) -0.082 (b) -3 (c) -4894 (d) 201
d
What is the biggest value in 2/5, -335883, -2, 2?
2
Which is the smallest value? (a) 2 (b) -7462 (c) -334 (d) -17
b
What is the fifth smallest value in -1, 0.4, -503, 11, -78, 1?
1
What is the sixth smallest value in -42, 4/7, 687, 1/3, 0, -2/3?
687
What is the third smallest value in -55.44, -46, 6, -1/14?
-1/14
Which is the biggest value? (a) -0.3 (b) 144101 (c) -2/3 (d) -1/2
b
Which is the second biggest value? (a) -3366 (b) 11 (c) 0.1563
c
What is the biggest value in -15, 1/6, -10, -0.39, -2.6?
1/6
Which is the smallest value? (a) -4 (b) 19 (c) 325489
a
Which is the fourth smallest value? (a) -23/4 (b) 5 (c) -1/7 (d) 3 (e) 0.4 (f) -408 (g) 19
e
What is the third smallest value in 31, 3/7, -4, 0.4, 3, 0.23, 2729?
0.4
Which is the smallest value? (a) -0.1 (b) -34 (c) -3/4 (d) -140 (e) 0.2 (f) -2/13 (g) 1/12
d
What is the second biggest value in -22, 1/91, 5511?
1/91
What is the biggest value in 331029.1, -13, 5?
331029.1
Which is the third smallest value? (a) 3 (b) -7945.14 (c) 2/7
a
Which is the fifth smallest value? (a) -5 (b) 0.5 (c) -2/11 (d) -89 (e) -0.0508
b
Which is the fourth biggest value? (a) 919846 (b) 1 (c) 2 (d) 0 (e) -0.02
d
What is the biggest value in -3, -8/35, -2/9, 9?
9
What is the fifth biggest value in -1/5, 5.4, -16, 107, -3, -0.1, 2/7?
-1/5
What is the second smallest value in -7, 5, -0.15, -92, -8?
-8
Which is the fifth smallest value? (a) 0.2 (b) 1 (c) -0.1 (d) -9965 (e) -2/5 (f) 47
b
Which is the third smallest value? (a) -581845 (b) 2/9 (c) -2/19 (d) -5 (e) -3
e
Which is the biggest value? (a) 0 (b) 29 (c) 46 (d) 6 (e) 1 (f) -3.7 (g) -1
c
Which is the third smallest value? (a) -2 (b) -33 (c) -4/7 (d) 5/30209
c
What is the third biggest value in 3, -1.07, -96621, 0.1, 5?
0.1
Which is the second biggest value? (a) -148.61 (b) 2/3 (c) 1 (d) -4
b
What is the fifth smallest value in 1, -1/4, 13/7, -13/16, -5, 0.1, -3?
0.1
Which is the fifth smallest value? (a) -4 (b) -3322 (c) -9 (d) 2/19 (e) 0.6 (f) 1 (g) 12
e
What is the third smallest value in -5/4, 2, 1/3, 0, -2, -3.3006?
-5/4
Which is the fourth biggest value? (a) -2687 (b) -5 (c) 1/7 (d) 236 (e) -2
b
Which is the second biggest value? (a) 11/5 (b) -130.6 (c) 0.24
c
Which is the fifth biggest value? (a) 4/3 (b) -2255 (c) -0.3 (d) 2 (e) -1 (f) -3 (g) 3/11
e
Which is the smallest value? (a) 0.14863 (b) -3 (c) 5 (d) -73 (e) 3/4
d
What is the third biggest value in -2/15, 58, -0.117, 3, -2, 3/22?
3/22
What is the fifth biggest value in -2.5, 2/3, 107, 5, -5?
-5
Which is the second biggest value? (a) -3 (b) 356685 (c) 2/15
c
What is the second biggest value in 2/93, 164, 0.5, -65?
0.5
Which is the fifth biggest value? (a) 23.68 (b) -1 (c) -0.06 (d) 1 (e) 10/7
b
What is the second smallest value in 1/3, -0.3, -3214197?
-0.3
Which is the fifth smallest value? (a) 0.04 (b) 0.5 (c) 4 (d) 2/5 (e) -26 (f) -0.05 (g) 3/2
b
What is the second smallest value in -0.26, 31.09, -1679?
-0.26
What is the fourth biggest value in -0.2, 0.5, -5, -4/165?
-5
Which is the second biggest value? (a) -14848 (b) -2/7 (c) 65
b
Which is the third smallest value? (a) -0.06 (b) -4 (c) 1662 (d) -146 (e) 0.3 (f) -0.5
f
What is the fourth biggest value in -1/4, 4/341, -5, 0, -4?
-4
Which is the second biggest value? (a) 2/3 (b) -22 (c) -5350 (d) 4 (e) -2/31
a
What is the smallest value in -0.5, 0.1, -2/18719, 403, -3, 3?
-3
Which is the second smallest value? (a) -3/5 (b) -7.8 (c) 7 (d) 9 (e) -4
e
Which is the second biggest value? (a) -2/13 (b) 0.6 (c) 785 (d) -1/9 (e) 1
e
Which is the smallest value? (a) 1/3 (b) -5/2 (c) -18 (d) -0.052 (e) 21 (f) -19
f
What is the second smallest value in 0.3, 1/22, -1275.59?
1/22
What is the smallest v | {
"pile_set_name": "DM Mathematics"
} |
4*t**2 + 6. Let i(c) = -3*c**2 - 5. Let n(v) = -6*i(v) - 5*x(v). What is u(n(o))?
-12*o**4
Let i(r) = 4 - 2*r**2 - 4. Let j(s) be the second derivative of 4*s + 0*s**2 - 5/6*s**3 + 0. What is i(j(b))?
-50*b**2
Let d(c) be the third derivative of -5*c**2 + 0*c + 0 + 7/12*c**4 + 0*c**3. Let k(x) = -x**2. What is k(d(n))?
-196*n**2
Let g(x) be the third derivative of 0*x**3 - 1/20*x**5 - x**2 + 0*x**4 + 0*x + 0. Let v(i) = -188*i + 94*i + 95*i. What is v(g(y))?
-3*y**2
Let a(v) = -20*v**2. Let d(s) = -1 + 0 + 1 - 3*s. Determine a(d(h)).
-180*h**2
Suppose -l = -5*r + 13 + 9, 0 = r + 2*l. Let s(x) = 4 - r + x. Let t(m) be the third derivative of -m**4/8 - 4*m**2. Determine s(t(v)).
-3*v
Let c(l) = -4496 - 5*l + 4496. Let n(v) = -2*v**2 + v**2 - v**2. Give n(c(s)).
-50*s**2
Let y = -6 - -3. Let s = y - -3. Let m(n) = n - 2*n + s*n. Let x(h) = -h**2. Give x(m(z)).
-z**2
Let t(j) = -2*j**2. Let r(s) = 4*s**2 - 2*s - 2. Let a(n) = -13*n**2 + 7*n + 7. Let i(u) = -6*a(u) - 21*r(u). Give i(t(c)).
-24*c**4
Let p(h) = h**2. Suppose 0*y + 3*y - 15 = 0. Let t = y - 2. Let f(x) = 2*x**2 + t*x - 2*x - x. Give f(p(b)).
2*b**4
Let z(w) = w**2 - 2*w - 3. Let p(v) = v + 1. Let u(s) = -2*p(s) - z(s). Let m(y) = 2*y**2 - 4. Let r(l) = m(l) + 4*u(l). Let t(q) = -2*q**2. Determine t(r(o)).
-8*o**4
Let v(l) = -l**2. Let f(d) = d. Let a(j) be the third derivative of -j**4/12 + 2*j**2. Let w(n) = -5*a(n) - 12*f(n). Give v(w(i)).
-4*i**2
Let w(d) = -d + 1. Let o(t) = -1. Let m(z) = o(z) + w(z). Let r(v) be the second derivative of v**3/3 + 3*v. Determine r(m(x)).
-2*x
Let s(x) = -7*x**2 - 5. Let v(o) = -o**2 - 1. Let h(l) = s(l) - 5*v(l). Let g(d) = d**2. Let m(f) = -4*g(f) - h(f). Let y(i) = -2*i. What is y(m(t))?
4*t**2
Let w(r) = -r**2. Let q be ((-1)/(4/8))/(-1). Let s(j) be the first derivative of -3/2*j**2 + 0*j - q. What is s(w(a))?
3*a**2
Suppose -4*h - 5*i = 0, -3*i + 0*i = -h. Let r(y) = -2*y + y + h + 0. Let p(o) = -o. Give p(r(w)).
w
Let w(g) = 2*g. Let b(j) = j**2 - 36*j. Let h(a) = 4*a. Let y(m) = 4*b(m) + 36*h(m). Calculate y(w(n)).
16*n**2
Let z(b) = b**2. Let r(k) = 990*k. Determine z(r(o)).
980100*o**2
Let h(x) = 48114*x - 48114*x - x**2. Let k(b) = 3*b**2 - 2*b**2 + 0*b**2. Calculate k(h(r)).
r**4
Let m(q) = 7*q**2 + 6*q. Let f(k) = 13*k**2 + 11*k. Suppose 4*z + 44 + 0 = 0. Let d(s) = z*m(s) + 6*f(s). Let l(r) = r**2. Calculate d(l(i)).
i**4
Let d(m) = -16*m. Let i(u) = -78*u. Give d(i(q)).
1248*q
Let w(g) = 14*g + 12*g - 26*g + g**2. Let z(t) be the third derivative of -t**4/12 - t**2. Determine w(z(p)).
4*p**2
Let d(p) = 4*p + 5. Let m(c) = 2*c + 2. Let a(y) = -2*d(y) + 5*m(y). Let l(x) = 4*x**2. Give a(l(s)).
8*s**2
Let n(l) = -2*l. Let z(x) be the first derivative of 2*x**3 - 9. What is z(n(r))?
24*r**2
Let k(q) = -3*q. Let o(c) = -6*c**2 + 24*c - 2. What is k(o(l))?
18*l**2 - 72*l + 6
Let c(s) = -s**2. Let j(d) be the first derivative of -3*d**4/4 + d**2/2 + d - 1. Let p be j(-1). Let q(h) = -h - 3 + p. What is q(c(g))?
g**2
Let t(b) = -416*b**2 - 64*b. Let j(m) = -32*m**2 - 5*m. Let o(i) = -64*j(i) + 5*t(i). Let x(u) = -2*u. Determine x(o(h)).
64*h**2
Let h(m) = -2*m**2. Let j(y) = 3. Suppose -2*c = 1 + 3. Let a(o) = -o - 2. Let t(u) = c*j(u) - 3*a(u). Give t(h(k)).
-6*k**2
Let h(x) = x. Let n = 4 + -4. Let b(m) be the third derivative of n*m**3 + 0 - 1/30*m**5 + 0*m + 0*m**4 - 2*m**2. Give h(b(o)).
-2*o**2
Let j(h) = -13*h + 17 - 34 + 17. Let i(l) = -l. Calculate j(i(u)).
13*u
Let l(q) be the second derivative of -q**3/3 + 2*q. Let m(w) = 3*w - 30 + 30. Calculate l(m(o)).
-6*o
Let c(z) = 1509*z**2. Let y(m) = 2*m**2. Determine c(y(g)).
6036*g**4
Let g(j) = -3*j + 2. Let z(y) = 2*y - 1. Let v(p) = 2*g(p) + 4*z(p). Let k(i) = -18*i. What is v(k(m))?
-36*m
Let r(v) = -v**2. Let y(d) = 6. Let w(s) = -s + 5. Let h(x) = 6*w(x) - 5*y(x). Determine h(r(f)).
6*f**2
Let j(l) = 9*l + 6. Let h(u) = -18*u - 11. Let q(g) = 6*h(g) + 11*j(g). Let k(m) = m**2. Determine q(k(p)).
-9*p**2
Let r(b) = 17*b. Let k(g) = -42*g**2. What is k(r(z))?
-12138*z**2
Let a(l) = 2*l. Let f(c) = -7*c**2 + 5*c - 5. Let n(w) = -10*w**2 + 7*w - 7. Let s(p) = -7*f(p) + 5*n(p). Calculate a(s(d)).
-2*d**2
Let g(y) = 2*y**2. Let h(l) be the third derivative of 17*l**5/60 + 11*l**2. Calculate h(g(k)).
68*k**4
Let y(i) = -i**2. Let f(w) = w**2 + 1. Let g(l) = -16*l**2 - 32. Let a(n) = 32*f(n) + g(n). Calculate y(a(q)).
-256*q**4
Let v(k) = -998*k. Let j(l) = l. Determine v(j(d)).
-998*d
Let d(c) = -90*c**2 - 2*c. Let m(u) = 6*u**2. Calculate d(m(v)).
-3240*v**4 - 12*v**2
Let s(j) = 2*j. Let d(u) be the first derivative of -u**6/72 + u**3/3 + 2. Let y(c) be the third derivative of d(c). Determine s(y(f)).
-10*f**2
Let b(p) = 5*p**2 - 12*p**2 + 2*p**2 + 7*p**2. Let h(w) = -2*w**2. What is b(h(l))?
8*l**4
Let z(b) be the first derivative of 0*b**2 - 2 - 2/3*b**3 + 0*b. Let s(v) = 5*v. Calculate s(z(q)).
-10*q**2
Let u(c) = 101 + 2*c - c - 101. Let m = 0 + 3. Let a(o) = 2*o - m*o + 3*o. What is a(u(x))?
2*x
Let a(k) = 430*k - 215*k - 214*k. Let s(v) = 22*v**2 + 3. Determine a(s(d)).
22*d**2 + 3
Let v(c) = -2*c**2 - 207 + 207. Suppose 0 = -2*q - 0*q + 4. Let x(g) = -4*g**2 + 0*g**2 + 2*g**q. Give x(v(s)).
-8*s**4
Let j(c) = -4*c. Let n be (-88)/(-3) + 6/9. Suppose 3*b - n = 2*b. Let m(u) = b - 30 - u. Calculate j(m(o)).
4*o
Let p(x) = x. Let s be (-18)/(-24)*1*4. Suppose -13 = -5*w - s. Let l(d) = -3*d - d + w*d. Determine l(p(u)).
-2*u
Let j(i) = -1165*i. Let t(c) = c**2. Give t(j(v)).
1357225*v**2
Let v(w) be the second derivative of w**3/6 - w. Suppose -34 = 4*l - 142. Let z(x) = -27 - 2*x + l. Give v(z(c)).
-2*c
Let z(y) = 144*y**2. Let h(f) = -8*f. Calculate z(h(n)).
9216*n**2
Let p(l) be the second derivative of 9*l - 5/6*l**3 + 0 + 0*l**2. Let i(k) = -3*k**2. Determine i(p(f)).
-75*f**2
Let s(r) = r. Let i(j) be the third derivative of j**4/24 + 9*j**2. Calculate s(i(d)).
d
Let o(t) = -t. Let h(d) = 5*d + 5. Let y(a) = 2*a + 3. Let c(u) = 3*h(u) - 5*y(u). Give c(o(i)).
-5*i
Let f(x) = -63*x**2 - 5*x - 3. Let l(r) = 125*r**2 + 11*r + 7. Let k(c) = -7*f(c) - 3*l(c). Let z(i) = i**2. Determine k(z(q)).
66*q**4 + 2*q**2
Let n(o) = -23*o**2. Let f(u) = 260*u**2. What is f(n(r))?
137540*r**4
Let b(r) = r**2. Let j(f) = 50*f + 34. Give b(j(q)).
2500*q**2 + 3400*q + 1156
Let z(m) = -m**2. Let g(s) be the third derivative of -s**5/12 + 12*s**2. Calculate z(g(b)).
-25*b**4
Let d(q) = -8*q**2 - 6*q + 6. Let l(n) = n**2 + n - 1. Let m(y) = d(y) + 6*l(y). Let a(u) = 1255 - 1255 - u. Determine m(a(p)).
-2*p**2
Let r(o) be the first derivative of o**2/2 - 3. Let g(v) be the third derivative of -v**5/30 + v**2. What is g(r(d))?
-2*d**2
Let i(l) be the second derivative of 0 + 0*l**2 + 0*l**3 + 2/3*l**4 + 6*l. Let b(k) = -2*k. Determine i(b(a)).
32*a**2
Let u(o) be the second derivative of o**3/6 + 26*o. Let g(j) = 12*j**2. Determine u(g(i)).
12*i**2
Let j(x) = x**2 - 2*x**2 - x**2 + 0*x**2. Let s(b) = 23*b**2. Give j(s(q)).
-1058*q**4
Let a(x) = -2*x**2. Let h(s) = -13*s**2 - 9. Suppose 0 = 5*t - 35 - 20. Let p = t - 15. Let l(c) = -3*c**2 - 2. Let q(k) = p*h(k) + 18*l(k). What is a(q(i))?
-8*i**4
Let a(u) be the second derivative of -3*u - 1/2*u**3 + 0 + 0*u**2. Let s(i) = i. What is a(s(q))?
-3*q
Let h(i) = 14*i + 6*i - 24*i. Let q(x) = -16*x**2. Give q(h(b)).
-256*b**2
Let l(h) = 2*h**2. Let k(a) = 34*a. Determine l(k(m)).
2312*m**2
Let t(h) = h. Let j(k) = -3*k - 296 + 296. Give j(t(o)).
-3*o
Let h(f) be the first derivative of 1 + 2/3*f**3 + 0*f + 0*f**2. Let c(j) = 6*j. Determine h(c(p)).
72*p**2
Let n(l) = -5*l. Let g(t) = -2*t - 620. What is n(g(d))?
10*d + 3100
Let r(j) = -5731*j. Let v(q) = -9*q**2. Calculate r(v(u)).
51579*u**2
Let p(f) = -2*f**2. Let a be 0 - (-4)/((-2)/(-1)). Suppose -i = -0 - a. Let y(b) = 0*b - 2*b + i*b + 2*b. Calculate p(y(v)).
-8*v**2
Let b(j) = -4*j**2 - 6. Let n(g) = -5*g + 3. Let f(a) = 14*a - 8. Let i(r) = -3*f(r) - 8*n(r). Calculate i(b(w)).
8*w**2 + 12
Let v(u) = 14*u**2 - 3*u + 8. Let i(j) = 13*j**2 - 3*j + 6. Let b(k) = 4*i(k) - 3*v(k). Let m(a) = -2*a. Give m(b(l)).
-20*l**2 + 6*l
Let z(b) = -3*b + b + 4*b - 4*b. Let p(h) = -2*h**2. Calculate z(p(k)).
4*k**2
Let w(k) = -7*k. Suppose -4*l + 0 = -8. Let n(v) = -4*v**2 + 2*v**2 + 4*v**l. Calculate n(w(p)).
| {
"pile_set_name": "DM Mathematics"
} |
b + b)*(443*b + 202*b + 124*b) + (-b**2 - b**2 + 0*b**2)*(3 + 2 - 3) in the form m*b**2 + j*b + p and give m.
765
Rearrange (-p + 0*p - p)*(3 - 1 + 0) - 6*p + 0*p + 4*p + 79*p - 47*p - 42*p - p + 0*p - p + (p + p - 4*p)*(4 + 1 - 3) - p + 0*p - p to l + s*p and give s.
-24
Rearrange -2 + 358*p**2 - 1 - 1 + 16*p**2 + 2 to the form k*p + l + x*p**2 and give l.
-2
Rearrange (y**2 - y**2 - 2*y**2)*(5*y**2 - 7*y**2 - y**2) + 130*y**4 - 53*y**4 + 61*y**4 to the form p + g*y + j*y**2 + a*y**4 + t*y**3 and give a.
144
Rearrange -6*y - y**4 - 72 + 13*y - 5*y - y**3 - y**3 - y**2 - 3*y to o*y + n*y**3 + d*y**4 + h + t*y**2 and give h.
-72
Express -8*s + 148*s**2 + 5*s + 116*s**2 - s**3 - 111 + 111 in the form t*s**3 + i*s + k + n*s**2 and give i.
-3
Rearrange k**3 + 7*k - 33*k**2 + 33*k**2 + 2*k**4 to the form t*k**4 + l*k**2 + c*k**3 + j + s*k and give s.
7
Express (-2*g**3 - g**2 + g**2)*(1883 + 1881 + 10*g - 3766) as c*g**4 + f*g + s*g**2 + i*g**3 + t and give c.
-20
Express 3*c**3 - c**3 - 166 - 4*c**2 - 134 + 260 in the form b + l*c**3 + v*c**2 + i*c and give b.
-40
Rearrange (-3 + 5 - 4)*((v - 3*v + 3*v)*(-7*v + v + 3*v) + 3 - v**2 - 3 + 5*v**2 - 2*v + 2*v + v**2 - 2 + 2) to the form m + d*v**2 + x*v and give d.
-4
Rearrange r**2 + 1 - 3 + 4 + 0*r + r**2 + 0*r + (5*r - 3*r - 3*r)*(4*r - 3*r - 2*r) + (-26 + 14 - 7)*(2*r**2 + 3*r**2 - 4*r**2) to l*r + m + a*r**2 and give m.
2
Express (1 + 0 + 1)*(3*a - 4*a - 7*a)*(13 - 41 + 23) in the form o + h*a and give o.
0
Rearrange -m**3 - m**3 - 315 + 240 to y*m + w*m**2 + s + j*m**3 and give s.
-75
Rearrange -7*i**3 + 2*i**4 - 2 + 2*i**3 + 2*i - 13*i**4 + 7*i**3 to the form b*i**3 + d*i**4 + a*i**2 + g*i + y and give y.
-2
Rearrange (-2 - 1 + 4)*(2 + 4 - 4 + (-4 + 3 + 2)*(1 + 2 - 1))*(-17*p - 6*p + 0*p) to c + d*p and give d.
-92
Rearrange 22*w - w**3 - 44*w + w**4 + 0 + 0 + 0*w**4 to v + q*w + l*w**3 + t*w**2 + h*w**4 and give h.
1
Express -86*o**3 + 29*o**3 - 3 + 32*o**3 + 29*o**3 - 2 in the form u*o**2 + c*o + x*o**3 + d and give d.
-5
Express (-2575 + 1352 - 1811)*(3*q - 2*q - 3*q) in the form g + m*q and give m.
6068
Express 7*v**3 - 2*v**2 + 4*v**3 + 10*v**3 - 8*v**3 in the form g + l*v + a*v**2 + f*v**3 and give f.
13
Express -19*y**2 + 7*y**2 - y**3 + 2*y**3 - 36*y + 12*y**2 as x*y**3 + r + g*y + q*y**2 and give g.
-36
Express -12 + 13 - 612*c + 1383*c in the form l*c + p and give l.
771
Rearrange 8*v**2 - 9*v**2 + 5*v**2 + 8*v**2 - 8*v**2 + 7*v**2 + (2*v - 1 + 1)*(-2*v + 5*v - 2*v) to the form n + h*v**2 + d*v and give d.
0
Express 0*v + v**3 + 106*v**2 + 3*v - 7*v**3 - 111*v**2 in the form l*v + s + m*v**3 + u*v**2 and give m.
-6
Express 276 - 2*u - 2*u**2 - 5*u**4 - 139 + 0*u**3 - u**3 - 140 in the form k*u + g*u**4 + r*u**3 + w + m*u**2 and give m.
-2
Express -25*j - 316*j**3 + j - j**2 + 219*j + 318*j**3 as l*j**3 + c*j**2 + h*j + v and give l.
2
Express 1575*u + 10*u**2 - 1577*u - 54*u**2 - 1 in the form q + j*u + v*u**2 and give j.
-2
Rearrange -3600*p + 7714*p - 2856*p to y*p + d and give y.
1258
Rearrange -2 + 1003*w + 2*w**2 - 2029*w + 4*w**4 + 964*w to the form x*w**3 + m*w**2 + y*w**4 + f*w + o and give o.
-2
Rearrange 4*b**3 - b**4 + 2*b**3 + b**3 - 4*b**2 to c*b + x + i*b**3 + a*b**4 + z*b**2 and give i.
7
Express (-5 + 3 + 0)*(-1 - 9427*u + 9427*u + 7*u**2)*(-10 + 5*u + 10) - 2 - u**3 + 2 as m*u**2 + o*u + s + t*u**3 and give o.
10
Rearrange ((-1 + 3 - 3)*(-2 + 2 - 3*z) + 0*z - z + 0*z)*(778 - 374 - 372) to s + p*z and give s.
0
Rearrange 58*a**2 - 17*a - 51*a**4 + 53*a**4 + a**3 - 57*a**2 to r + n*a + s*a**4 + h*a**2 + i*a**3 and give r.
0
Express (-u + u + 2*u**2)*(9*u - 9*u + 3*u**2) + u**3 - 88 + 46*u**4 + 88 in the form p*u**4 + l*u**3 + v*u**2 + x*u + a and give p.
52
Express 168 + 56*q**3 + 0*q**2 - 72*q**3 - 113*q**3 - 171 + q**2 in the form r*q + w*q**2 + z + k*q**3 and give z.
-3
Rearrange 0*z + 2*z - 4*z + (-2*z + 0*z + 0*z)*(3 - 1 - 4) + (-4*z + 5*z - 6*z)*(23 + 19 + 14) to t*z + x and give t.
-278
Rearrange (-3 - 4 + 1)*(2*w + 6*w - 3*w) - 4*w + 7*w + w to the form y*w + i and give y.
-26
Express ((5 + 3 - 6)*(-2 + 3 - 3) - 2 + 1 + 0)*(-37*f - 2*f**3 + 77*f - 32*f) as i*f**3 + d + k*f**2 + r*f and give r.
-40
Rearrange 13*y - 44 + 8*y**2 + 41 + 2*y + 3*y to the form o + h*y**2 + g*y and give h.
8
Rearrange 3 + 0 - 844*k**3 - 1 + k**4 + 131*k**2 - 132*k**2 to the form j*k + l + z*k**2 + c*k**4 + q*k**3 and give l.
2
Rearrange -10*g**2 + 1 - 22*g**2 - 3*g + 14167*g**4 - 14166*g**4 to the form x + f*g + r*g**3 + l*g**2 + m*g**4 and give l.
-32
Rearrange -2*z**3 + 2*z**2 - 10*z - z**3 + z - 3*z**2 + z to the form v*z**3 + c*z + l + j*z**2 and give j.
-1
Express -o**3 - 2 - 2*o + 16*o + 1 - 21*o as l*o + x + y*o**3 + h*o**2 and give x.
-1
Rearrange q**3 + q**4 - 615*q**2 + 582*q**2 + q**4 to the form b*q + x*q**2 + f*q**3 + k + i*q**4 and give f.
1
Express s**4 - 53*s**3 - 40*s**2 + 116*s**3 - 61*s**3 + 5*s**4 - 5*s**4 in the form d*s**2 + a + t*s + k*s**3 + b*s**4 and give k.
2
Rearrange 27*m - 26*m + 64*m**2 - 27*m**2 to f + i*m + k*m**2 and give k.
37
Rearrange 152*w + 41*w + 112*w to d + q*w and give q.
305
Rearrange -5*s - s**2 + 6*s**4 + 2*s - 1 - 3*s**3 - 11*s**4 to the form p*s**4 + r + y*s**2 + f*s + m*s**3 and give m.
-3
Express -b**4 - b**4 + 0*b**4 + (5*b + 4*b**3 - 5*b)*(80*b - 48*b + 142*b) in the form x*b**4 + w + o*b**3 + h*b + g*b**2 and give x.
694
Express -5*h**4 - 3*h + h + 6084*h**2 - 6089*h**2 as n*h + m*h**4 + i*h**2 + q*h**3 + z and give z.
0
Express 96 + 3*w**2 - 87 + 149 in the form s*w + d*w**2 + p and give p.
158
Express -c - 2*c + 1083*c**2 - 3*c + 0*c - 1079*c**2 in the form w + u*c + b*c**2 and give b.
4
Express (-1 - 4*o + 6*o + 0)*(6*o - 2*o - 2*o)*(7*o + 1 + 7 - 5) as x*o + f*o**3 + l*o**2 + h and give h.
0
Express -6*p**2 - 6*p**2 + 19*p**2 + 2*p**3 - 2*p**2 - 7*p - 9*p**2 as o*p + h*p**2 + f*p**3 + j and give h.
-4
Rearrange 17*i**2 - 7323 - i + 2*i**3 + 0*i**3 + i**3 - i**3 + 7321 to w*i**2 + s*i**3 + p*i + j and give p.
-1
Rearrange -l + 2*l - 3*l + (l + 3 - 3)*(-2 - 2 + 3) - l - 2*l + 2*l - 3*l + 2*l + 0*l - 105384 + 105384 - 743*l to the form c*l + h and give c.
-748
Express -10*u**4 - 2 + 5*u - 5*u - u**3 - 2*u - 1 as x*u**2 + v + m*u**4 + n*u + t*u**3 and give m.
-10
Rearrange (2*g**4 - 3*g**4 + 3*g**4)*(40 + 30 + 35)*(-2 - 3 + 3) to the form u*g**2 + l*g + c*g**4 + s + v*g**3 and give c.
-420
Rearrange 58*a + 7 - 4 - 2 + 7 - 4 to the form l + z*a and give z.
58
Express (4 - 3 + 1)*(x - 2*x + 4*x)*(1 - 1 + 5) as g*x + c and give g.
30
Express (-w + 0*w - w)*(11*w**3 + 4608*w**2 - 4608*w**2) in the form n*w**2 + a*w + s*w**4 + v*w**3 + k and give a.
0
Rearrange (-33 + 2 - 46)*(4*y - 2*y + 0*y + (0 + 2 + 0)*(2*y - 2 + 2) + 1 - 1 + 2*y + y + y + 0*y) to g + d*y and give d.
-770
Rearrange (6 - 6 - 2*p)*(-p + p + p + (6 + 1 + 0)*(5*p + p - 5*p) + (-2*p - 1 + 4*p - 4*p)*(-2 - 1 + 2)) to o + w*p**2 + v*p and give v.
-2
Express -11 + 93*r + 269*r + 19 - 8 in the form n*r + f and give n.
362
Rearrange 4*j + 2*j**2 + 1483 - 1483 to the form n + k*j + o*j**2 and give k.
4
Express (8*k - 9*k + 48*k)*(1 + 5*k - 1)*(-2*k + 3*k - 2*k) as n*k**2 + r*k + i + s*k**3 and give s.
-235
Express -31*z**2 + 1 - 45*z**2 + 16*z**2 + z**4 as f*z**4 + q*z**2 + b*z**3 + k*z + i and give i.
1
Rearrange 71*x + 55*x + 3*x**3 + 14*x - x**3 to b*x**3 + c*x + j + y*x**2 and give b.
2
Rearrange ((5 + 2 - 4)*(-3 + 4 - 17)*(3 + 0 - 1) + 4 - 2 - 1)*(f**4 - 5*f**3 + 5*f**3) to r*f**4 + a*f**3 + v + p*f**2 + t*f and give r.
-95
Express (-6*p**2 + 13*p**2 - p**2)*((3 + 2*p - 3)*(-1 + 0 - 1) - 5*p + 3*p + p) in the form i*p + l*p**3 + u + g*p**2 and give l.
-30
Rearrange (-3*a + 7 - 7)*(0*a + 0*a - 2*a) + 6*a**2 + 105*a**2 - 4*a - 57*a**2 to z*a**2 + v*a + b and give v.
-4
Express (-32 + 3 - 47)*(0 + 4 - 1)*(r**2 - 2*r + 2*r) as v*r + h + q*r**2 and give q.
-228
Express 3*c**2 + 2*c**2 + 5 - 2 + 9*c**2 in the form j*c + g + s*c**2 and give g.
3
Rearrange (33*d - 45*d + 28*d)*(-2 - 2 + 2 + (0 + 1 - 4)*(0 - 1 + 2) + 1 + 1 + 0) to the form g + c*d and give c.
-48
Express v**3 - 2 + 6*v**2 - 10*v**2 + 2*v**4 + 10*v**2 as h*v + p*v**3 + f*v**2 + n*v**4 + y and give p.
1
Rearrange (3*q**2 + 2*q**2 + 0*q**2)*(38*q - 38*q - 32*q**2)*(-1 - 4 - 1) to l*q**2 + c + b*q**4 + t*q**3 + x* | {
"pile_set_name": "DM Mathematics"
} |
7*k - 81. Let l be r(3). What is the highest common divisor of 5391 and l?
9
Let c(a) = -a**2 - 76*a + 1364. Let q be c(-68). What is the highest common factor of 36 and q?
36
Suppose 3*y = 2*v - 85, -y - 2*y + 3*v - 84 = 0. Let w = -47 - y. Let r = w + 39. What is the highest common factor of 7 and r?
7
Let p(b) = b**2 + 188*b - 6251. Let j be p(30). Calculate the highest common divisor of j and 2227.
17
Let s = 1065 + -1043. What is the greatest common factor of s and 1342?
22
Suppose 7*a - 591 = 95. Suppose 112*d - a*d = 224. What is the highest common divisor of 28 and d?
4
Suppose -2*y - 6*t = -146, -13*t + 385 = 5*y - 18*t. Calculate the highest common divisor of 11476 and y.
76
Suppose 27*o - 1077 - 2001 = 0. Let b = -49 + o. Calculate the highest common factor of 585 and b.
65
Let u be (-8136)/(-270) - (-9)/((-540)/8). Let t = 12 - 23. Let y = u + t. Calculate the highest common factor of y and 95.
19
Suppose 13*b + 32934 = 33220. Calculate the greatest common divisor of b and 2189.
11
Let d(c) = -184*c + 1022. Let k be d(4). Calculate the greatest common factor of k and 242.
22
Let b(c) = -2*c**3 + 16*c**2 + 116*c + 20. Let r be b(-5). What is the greatest common factor of 810 and r?
90
Suppose -5*j + 2*l + 35 = -9, -4*l + 12 = 0. Suppose -31*a + 33*a + j = 0. Let n be 828/180 + (-1 - 7/a). Calculate the greatest common factor of n and 35.
5
Let k = -3 + 68. Suppose -43 = -12*j + 53. Let x be (689/(-212))/(14/j - 2). Calculate the highest common divisor of x and k.
13
Let y(b) = 4*b**2 + 134*b - 198. Let i(n) = -n**2 - 45*n + 68. Let d(f) = -7*i(f) - 2*y(f). Let s be d(45). Calculate the highest common divisor of 95 and s.
5
Let w = -7 - -35. Let k be 48/w*21/6. Suppose -12*r = -6*r - 72. What is the greatest common factor of r and k?
6
Let l = -503 + 553. What is the greatest common divisor of l and 4950?
50
Suppose 0 = 14218*r - 14281*r + 13293. Calculate the greatest common divisor of 41567 and r.
211
Let n be ((-1)/4 - (-12)/48)/1. Suppose 8*s + s - 522 = n. Suppose -4*z + t = -s, -2*z + 4*t + 6 = -30. What is the highest common divisor of 14 and z?
14
Let q(j) = -2*j**2 + 3*j. Let v be q(2). Let u = -3050 - -3051. Let l be (-52)/v*u/2. What is the highest common factor of 117 and l?
13
Suppose -8*q + 28 = -4*q. Let g be ((-2)/4)/(103/(-3502)). Suppose -22 = g*o - 39. Calculate the greatest common divisor of o and q.
1
Let b(a) = -219*a + 4167. Let n be b(19). What is the greatest common divisor of 7494 and n?
6
Let y be 7299/2*(194 - 192). Calculate the greatest common divisor of 18 and y.
9
Let j be 849*(1670/(-210) + 8) + 9/(-21). Suppose -3*m + 0*m - 3*i + 318 = 0, 5*i = -m + 90. What is the highest common factor of m and j?
10
Suppose -26*u + 172062 = 60*u + 15198. What is the greatest common divisor of 4 and u?
4
Suppose 43*v + 12 = 37*v. Let w(p) = -18*p - 26. Let u be w(v). Calculate the greatest common factor of 790 and u.
10
Let u = 666 + 76. Let s = u + -735. Calculate the greatest common factor of s and 91.
7
Let a be 0*(33/27 + (-4)/18). Suppose -24*t + 22*t + 6 = a. Suppose t*m + 5*y + 20 = 69, y = -2*m + 28. What is the highest common divisor of m and 143?
13
Suppose 2680 + 28642 + 2662 = 4*r. Calculate the highest common factor of 144 and r.
144
Let w be 12 + -5 - (2 + -2). Suppose 0 = 2*j - w*j + 15. Suppose 4*p = -j*p + 49. Calculate the greatest common divisor of 7 and p.
7
Suppose 0 = 182*f - 174*f - 10120. Calculate the highest common factor of 11 and f.
11
Suppose 0 = 4*x + 8, -4*b - 6*x + 5*x + 170 = 0. Suppose -b*w = -37*w - 120. What is the highest common factor of w and 30?
10
Suppose -5*b = -5*u + 150, 2*b = 5*u - b - 142. Let c be 0/(-4 + 0) + u. Let s = 40 + -1. What is the highest common factor of c and s?
13
Let b be (-32048)/(-20) + 30/(-75)*1. What is the greatest common divisor of b and 234?
18
Suppose 0 = 4*m + m - 5*s - 3705, -3*m + 2223 = s. What is the greatest common factor of 114 and m?
57
Let d be (-54)/270 - 4278/(-15). Calculate the greatest common factor of d and 60.
15
Suppose 6 = m - 2. Suppose -10*p + m*p = 0. Suppose r + 5*r - 666 = p. Calculate the greatest common factor of r and 37.
37
Let i = -271 - -379. Let r(j) = 69*j + 141. Let u be r(-3). Let a be -2 + u/(-30) + (-295)/(-25). What is the highest common divisor of a and i?
12
Let a(m) = -m**3 + m**2 + 2*m + 150. Let z be a(0). Suppose -185 = -3*y - 4*n, -3*y - 37*n + z = -40*n. Calculate the greatest common divisor of 220 and y.
55
Let p(f) = -38*f - 701. Let q be p(-25). Calculate the highest common divisor of q and 1.
1
Suppose -3*d + 802 = 175. Let f be (-15 + (-731)/(-51))*(3 + 117/(-6)). What is the highest common divisor of d and f?
11
Suppose 0 = -3*g - 2*g + 2*m + 152, -4*g + 132 = m. Calculate the highest common divisor of g and 144.
16
Let w = -490 - -556. Let z = -10 - -16. Suppose 0*t = z*t - w. What is the highest common divisor of 55 and t?
11
Suppose 10*p - 500 = 5*p. Let k = p + -89. What is the greatest common factor of 253 and k?
11
Let w = 56 + -54. Suppose 0 = 2*l - 4*y + 2, w*l + 3*y = y + 16. Suppose l*b = 9*b - 68. What is the greatest common divisor of b and 153?
17
Suppose 120 - 516 = -11*u. Suppose 5*h - 3*h - u = -l, 57 = 3*h + 3*l. What is the highest common factor of h and 629?
17
Let q be 3*4/30 + 2072/20. Let l be (q/(-10))/(-5 - (-48)/10). Let w be ((-13)/4)/(-2*(-3)/(-24)). What is the highest common divisor of l and w?
13
Let d = -22 - -25. Let s be 12/(-3*d/(-9)). Suppose -28 = 10*n - s*n. Calculate the highest common divisor of 21 and n.
7
Suppose 5*a - 2*a + 21 = 0. Let i be 0/a*(-1)/(-1). Suppose 20*v - 22*v + 44 = i. Calculate the greatest common divisor of v and 22.
22
Let o = -1320075 + 1320211. Suppose -q - 3*q - 5*s + 59 = 0, 3*s - 45 = -3*q. Calculate the greatest common divisor of o and q.
8
Suppose -12 + 4 = 4*n. Let l be -2*(n - (-3)/6). Let k(y) = -y**2 + 47*y - 481. Let i be k(31). What is the highest common factor of i and l?
3
Suppose -221*c + 27 = -220*c + 4*a, 0 = -4*c - 3*a + 173. What is the highest common factor of c and 10951?
47
Let p = 333 - 325. Let f be (-110)/88 + 586/p. Calculate the greatest common divisor of 120 and f.
24
Let q = 50936 - 28631. What is the highest common factor of 15 and q?
15
Let h be (-5775)/(-15) + 0/1. Calculate the greatest common factor of h and 105.
35
Suppose -3*w + 88 = 5*w. Let o be (1 + 0)*w + (3 - 5). Suppose 2*c = -y + 25, c - y = 2*y + o. What is the highest common factor of 4 and c?
4
Let j be (-5)/2*-7*(7 + (-12)/4). Calculate the greatest common divisor of j and 42.
14
Suppose 13*p - 69781 = 34258. What is the highest common factor of p and 53?
53
Let m = -1007 - -4859. What is the greatest common factor of 749 and m?
107
Let f(m) = 4*m**3 + 3*m**2 - m + 2. Let l be f(4). Let x = 476542 - 476540. Calculate the greatest common factor of l and x.
2
Let w be (-4 + -4 + 26 + -13)*72/15. Let s(k) = 4*k**2 + 4*k + 4. Let p be s(-5). What is the highest common divisor of p and w?
12
Let h be (3 - (-5 - -8)) + -22. Let i be ((-5)/5)/(1/h). What is the highest common divisor of 2 and i?
2
Suppose 2*m = -g + 2*g - 788, -g + 784 = -m. Suppose -4*q = -2792 + g. Let b = q + -260. What is the highest common divisor of 27 and b?
27
Let u be ((-1062)/8)/((-127)/1016). What is the highest common factor of 3068 and u?
118
Suppose 1001*m + 4*n = 1004*m - 5852, 9856 = 5*m + 8*n. Calculate the greatest common factor of m and 105.
35
Suppose -56*s - 9*s = -195. Let x = -9 - -5. Let f be 290 - (s + x - -3). What is the highest common factor of 36 and f?
36
Suppose 0 = -2*y - 2*g + 20296, -13*y + 15*y - 4*g - 20320 = 0. Calculate the greatest common divisor of 16 and y.
8
Suppose 0*d = 27*d - 6345. Suppose -282 = -7*r + r. What is the greatest common divisor of d and r?
47
Suppose 49*w + 459 = 64*w - 321. What is the highest common factor of w and 2743?
13
Let t = -177 - -369. Suppose 0*o = -2*o + 132. Let v = t - o. Calculate the greatest common factor of v and 42.
42
Suppose 0 = -3*s - 4*p + 50, 16 - 64 = -3*s - 3*p. Let d(o) = -o**3 + 13*o**2 + 23*o - 38. Let b be d(s). Calculate the greatest common factor of b and 16.
8
Let u = 116 - 4. Let b = 109 + -108. Suppose 0 = -4*c - b + 65. What is the highest common divisor of c and u?
16
Let p = 1244 | {
"pile_set_name": "DM Mathematics"
} |
6*p + 497. What is the hundreds digit of p?
1
Suppose f + 13 = 13. Suppose 5*m - 1041 - 124 = f. Suppose -6*d + 469 = -m. What is the units digit of d?
7
What is the hundreds digit of ((-40)/(-24) + -2)*(-3 + -73674)?
5
Suppose 3*o = 5*l - 78384, 4939 = l + 2*o - 10730. What is the units digit of l?
5
Let a = 422 + 27. Let l = -141 + a. What is the tens digit of l?
0
Let g = 70489 - 42530. What is the hundreds digit of g?
9
Suppose -18*g = -0*g + 144. Let y be 1*(2 + g + 2)/(-2). What is the units digit of 0 + 0 + (-3)/3 + y?
1
Let w = -232 - -234. Suppose 44 + 702 = 3*x - 4*c, -492 = -w*x + 4*c. What is the tens digit of x?
5
What is the units digit of -2273*((-95)/19 + -9)?
2
Let g(t) be the third derivative of t**5/15 + t**4/6 - 2*t**3 - t**2. Let u be (-3)/(9/6)*(-40)/(-16). What is the tens digit of g(u)?
6
Let k = -38 + 41. Suppose k*a - 2684 - 718 = 0. What is the hundreds digit of (-1 - 4) + a/7?
1
Let k = -1 - -5. Suppose 5*i + 17 = 4*a - k, -2*a + 4 = 4*i. Suppose -2*w = -5*f + 143, a*f - 70 - 30 = -2*w. What is the tens digit of f?
2
Let b = -18516 + 29839. What is the units digit of b?
3
Let b be (-80)/(-3)*(-183)/(-2). Suppose -2*g = 5*z - b, 2*z - 960 = -4*g - 0*g. What is the tens digit of z?
9
What is the hundreds digit of 808*(1*(-3)/(-1) - (-175)/(-140))?
4
Suppose 0 = -54*p + 51*p + 13671. What is the units digit of (p/(-14))/(4/(48/(-9)))?
4
Suppose 24*u - 32 = 16*u. Suppose -b + 359 = u*s, 5*s - 6*b = -5*b + 442. What is the units digit of s?
9
Let n be (4 - (3 + -5)) + -8 + 4. Suppose 2769 = 5*z - 2*x, x = n*x + 2. What is the hundreds digit of z?
5
Let c(f) = 3*f**2 + 18*f + 217. What is the units digit of c(47)?
0
Suppose -7*z = -2*z - 1880. Suppose 322 - 387 = -13*a. Suppose -z = i - a*i. What is the units digit of i?
4
Let i(p) = -11 + 40*p**3 - 42*p**3 + 9*p - 21*p**2 - 13. What is the hundreds digit of i(-12)?
3
Let h(x) = 3*x**2 + 7*x + 16. Let p be 1178/(-95) + (-1)/(-5)*2. What is the tens digit of h(p)?
6
Let o(q) = -916*q - 1. Let p be o(1). Let b = -317 - p. What is the tens digit of b?
0
Let y(f) be the second derivative of f**5/20 + 7*f**4/12 + f**3/2 - f**2 + 11*f. Let a be y(-8). What is the tens digit of 280/6 - 30/a?
4
Let g = 5801 - -5183. Suppose 40*a + g = 27944. What is the tens digit of a?
2
Let f(v) = 23*v**2 + 81*v - 9*v**2 + 92*v - 185*v - 31. What is the tens digit of f(-4)?
4
Let l(o) = 7*o + 62. Suppose 20 = u + 5*f, -2*u + 3*u = -4*f + 19. What is the tens digit of l(u)?
6
Suppose 5*m = -4*b + 194625, 78705 = 2*m + 3*b + 848. What is the thousands digit of m?
8
Let l be (-44)/(-77) + 12/(-21). Suppose l = -t + 54 + 201. What is the tens digit of t?
5
Suppose 16 = 4*k, -l - 1552*k + 1556*k + 26739 = 0. What is the tens digit of l?
5
Let r(a) = -15*a**3 + 58*a**2 + 100*a - 68. What is the tens digit of r(-16)?
2
Let p(z) = 57*z**2 + 137*z + 729. What is the ten thousands digit of p(24)?
3
Let i = -530 + 683. Suppose n + 88 - i = 0. What is the tens digit of n?
6
Let i be (-9)/6*220/(-30). What is the tens digit of 6 + -4 - -38*i?
2
Suppose -5*c + 147346 = 4*r, 6*r - 2*c - 168025 - 52937 = 0. What is the tens digit of r?
2
Suppose 20 = -5*c - 55. Let z(q) = 13 + 2 - 77*q + 5 + 15 + 76*q. What is the tens digit of z(c)?
5
Let m = 58162 - 23925. What is the ten thousands digit of m?
3
Let q be (1 + 1)*-1 + -3. What is the hundreds digit of (-4 - q)/((-2)/(-468))?
2
What is the tens digit of 6/11 - (737135/(-11) - 504/2772)?
1
Let l be (-6)/15*2460*(-5)/5. Let u = l + -458. What is the hundreds digit of u?
5
Let a = 1291 - 511. Let m = -47 + a. What is the hundreds digit of m?
7
Let r(n) be the first derivative of -n**4/4 + n**3 + 4*n**2 - 10*n + 5. Let g be r(4). Suppose -546 = g*k - 13*k. What is the units digit of k?
8
Suppose 221*s - 228*s = 16814. What is the units digit of s/(-18) + (-2)/9*2?
3
Let b(v) = -5*v**3 + 32*v**2 - 16*v + 20. Let k(p) = 22*p**3 - 129*p**2 + 65*p - 80. Let r(m) = -9*b(m) - 2*k(m). What is the hundreds digit of r(31)?
3
Let c(f) = f**2 - 2*f - 15. Let s be c(-4). Let v be (3 - 3*(-8)/3)*s. Let a = v - -62. What is the hundreds digit of a?
1
Let f = 43 - 54. Let s = f - -16. Suppose -80 = 4*o - s*o. What is the tens digit of o?
8
Suppose 5*n - 1081 + 186 = 0. Suppose -p - n + 12 = 0. Let v = p + 374. What is the units digit of v?
7
Let m = 1086 + -744. Suppose 4*h - b = -6*b + m, 3*b = 2*h - 182. Suppose -2*u - 152 + 52 = -3*v, 3*v = 5*u + h. What is the units digit of v?
6
Suppose -q + 10*v = 3*q - 47424, 5*q - 59301 = 2*v. What is the ten thousands digit of q?
1
Let r(y) be the third derivative of y**6/120 + y**5/6 - y**4/12 + 10*y**3/3 + 30*y**2. Let x be r(-9). Suppose -4*k = x - 1035. What is the units digit of k?
9
Suppose -320 = 6*n - 22*n. Let f(j) = -j**2 + 18*j + 66. Let k be f(n). What is the tens digit of ((-6 - -48) + -2)/(4/k)?
6
Suppose -b + 81 = -33. Suppose -38*k + b = -36*k. What is the tens digit of k?
5
What is the thousands digit of (-1 - -11396) + 3 - (0/9)/(-7)?
1
Let f be 482/14 + 132/231. Let q(p) = 37*p**3 - p - 1. Let g be q(-1). Let w = f - g. What is the units digit of w?
2
Let t = 183 - 182. What is the units digit of (0 + -2)*t*(-2637)/18?
3
Let t = 13141 + 2671. What is the thousands digit of t?
5
Let i(q) = 12*q**2 - 6*q - 243. What is the tens digit of i(27)?
4
Suppose d + 8*p - 7*p + 555 = 0, 3*d + 1663 = -4*p. Let s = -118 - d. What is the hundreds digit of s?
4
What is the tens digit of 10/(-12)*(-3633 - -39)?
9
Let w(h) = -8*h**3 + 3*h**2 - 3*h + 2. Let p be w(-6). Let k = -13727 + 13726. What is the tens digit of k/(-3) + p/12?
5
Let m = 94280 + -61180. What is the ten thousands digit of m?
3
Let h(n) = 104*n**2 - 40*n - 2. What is the thousands digit of h(-5)?
2
Suppose -45*u + 127409 = -87466. What is the hundreds digit of u?
7
What is the hundreds digit of -9 + (-13)/(((-76)/4384)/19)?
2
Let k = 396 - 158. Suppose 3*b + k = 2977. What is the hundreds digit of b?
9
Suppose 0*i + 1560 = 6*i. Let a = -176 + i. Suppose 8*k - a = 7*k. What is the tens digit of k?
8
Suppose 0 = -q + i + 7345, 41*q - 3*i - 14687 = 39*q. What is the units digit of q?
8
Let u = 1038 - 676. Suppose 2*k - n - u = n, -4*n = 20. What is the tens digit of k?
7
Let d(t) = 367*t + 151. Let j(m) = 551*m + 227. Let s(v) = 8*d(v) - 5*j(v). What is the hundreds digit of s(3)?
6
Let j(n) = -20*n**2 + 36*n - 104. Let p be j(3). What is the units digit of 32/p - ((-10234)/22 - 2)?
7
Suppose -3*n + 3430 = 2*n. Suppose n = -4*d + 5*d. Suppose 5*s - 3*r - 745 + 61 = 0, 5*s - d = 2*r. What is the tens digit of s?
3
Let v = -126 - -735. Let d = v - 415. What is the tens digit of d?
9
Suppose 3*t + 2*j - 3414 = 0, -t = -4*t - 3*j + 3411. Suppose 4*a = -4*l + t, -3*l - l + 1135 = -a. What is the hundreds digit of l?
2
Let b be (-6)/39 - 17031/(-91). Suppose -4*t + 7*t + 5*r - 629 = 0, 4*r = t - b. What is the hundreds digit of t?
2
Let l be 7 - (-1 + 0)/(8/24). What is the units digit of 50 + ((-25)/15)/(l/(-12))?
2
Suppose 4*a - 5*z = 28389, -4*z + 26463 = 4*a - 1953. What is the tens digit of a?
0
Suppose 53*q - 45987 - 46657 = 0. What is the thousands digit of q?
1
Let o(b) = 16*b + 734. What is the thousands digit of o(72)?
1
Let x = 407 + 245. Suppose x = -4*z + 2036. What is the hundreds digit of z?
3
What is the ten thousands digit of (((-5)/35)/(6/21))/((-5)/222370)?
2
Let r(s) = -23*s - 17. Let w be (3/(-1) - 0) + 9 + -10. What is the tens digit of r(w)?
7
Suppose 8*g - 3*g = 725. Let z = g + -92. Suppose 2*l - 2*s - 46 = 3*s, 5*l + 3*s = z. What is the tens digit of l?
1
Let r(y) = -y**3 + 17*y**2 - 17*y - 15. Let h be r(16). Let c = 32 + h. What is the units digit of c + 21 - (-14 + 10)?
6
Suppose -7*w + 12*w - 10 = 0. Suppose 0 = t - w, 2*g - g = -t + 81. Suppose z - 4 - g = 0. What is the units digit of z?
3
Suppose 13949 = -21*a + 34*a. Let h = a + -218. What is the units digit of h?
5
Suppose 4*r - 73 = 15. Suppose r*x + 80 = 27*x. Suppose -14*n - 58 = -x*n. What is the units digit of n?
9
Let w(s) = 3*s**3 + 21*s**2 + 2*s + 10. Let k be w(-7). Let h = 95 + k. What is the units digit of (-10 + 0)*h/(-14)?
5
Let m(s) = -1702*s + 6070. What is the ten thousands digit of m(-13)?
2
Suppose -13376 = -35*y + 253230 + 79369. What is the thousands digit of y?
9
| {
"pile_set_name": "DM Mathematics"
} |
that o(k) = 0.
-1, 0, 1
Let u = 117 + -115. Suppose -2/7*m**3 + 0 + 4/7*m - 2/7*m**u = 0. Calculate m.
-2, 0, 1
Let y(h) be the first derivative of h**8/168 - h**7/105 - 3*h**2/2 + 3. Let w(b) be the second derivative of y(b). Find l, given that w(l) = 0.
0, 1
Suppose -3*f + 12 = 3*z, -1 - 7 = -4*z. Let -1/3*c**f + 2/3 + 1/3*c = 0. What is c?
-1, 2
Let s(c) be the second derivative of c**7/1260 + c**6/360 + c**4/4 - c. Let x(q) be the third derivative of s(q). Let x(w) = 0. What is w?
-1, 0
Let x(o) be the first derivative of -o**7/189 + o**6/27 - o**5/10 + 7*o**4/54 - 2*o**3/27 - 2*o - 2. Let a(s) be the first derivative of x(s). Factor a(h).
-2*h*(h - 2)*(h - 1)**3/9
Let i be -2 - -7 - (1 + 0). Factor 0*l**3 + l**2 + 4*l**5 - 4*l**i - 3*l**4 + 6*l**3 - 4*l**3.
l**2*(l - 1)**2*(4*l + 1)
Let s(t) be the third derivative of -t**6/180 - t**5/270 + t**4/36 + t**3/27 + 20*t**2. Let s(a) = 0. Calculate a.
-1, -1/3, 1
Let i be (-6)/12*(0 + -2). Let u be (3/(-6))/(i/(-6)). Suppose -4*b + u*b**2 - 2*b**2 - 2 - 3*b**2 = 0. What is b?
-1
Suppose 8 = -6*c + 20. Let s be 1 - (0 - (-3)/4). Factor -s*m**c + 1/2*m - 1/4.
-(m - 1)**2/4
Let g(w) be the second derivative of 2/21*w**7 + 4/5*w**5 - w**2 + 1/3*w**4 - 2/3*w**3 + 0 - 3*w + 7/15*w**6. Solve g(n) = 0.
-1, 1/2
Suppose 0*l + 24 = 3*l. Let r = -5 + l. Let -p**4 + 0*p**3 + p**3 + p**2 - 4*p + r*p = 0. Calculate p.
-1, 0, 1
Let z(d) be the third derivative of 0*d + 0 + 1/24*d**3 - 1/480*d**6 - 1/240*d**5 + 1/96*d**4 + 4*d**2. Suppose z(x) = 0. Calculate x.
-1, 1
Let u(o) be the first derivative of 3*o**5/5 - 3*o**4/4 - 5. Let u(b) = 0. Calculate b.
0, 1
Let h = -7 - -5. Let g be h/((0 - -1) + -7). Find x such that 1/3*x**2 - g*x**3 - 1/3*x**4 + 1/3*x + 0 = 0.
-1, 0, 1
Let o = 8259/14 - 1179/2. Let o*y + 0 - 5/7*y**2 = 0. Calculate y.
0, 3/5
Let p(f) = -13*f**2 + 2*f - 7. Let s(q) = 7*q**2 - q + 4. Suppose -w + 4*w - 18 = 0. Let k(b) = w*p(b) + 11*s(b). Factor k(i).
-(i - 2)*(i + 1)
Let b(t) be the first derivative of -t**5/30 + t**4/9 - t**3/9 + 2*t + 3. Let x(k) be the first derivative of b(k). Factor x(m).
-2*m*(m - 1)**2/3
Let o(f) = 30*f**3 + 82*f**2 + 24*f. Let y(u) = -15*u**2 - 10*u**3 - 14*u**2 - 8*u - u**2 + 3*u**2. Let g(b) = 3*o(b) + 10*y(b). Let g(i) = 0. Calculate i.
-2, -2/5, 0
Let v(j) be the first derivative of 14/39*j**3 + 4/13*j - 3 + 9/13*j**2. Factor v(p).
2*(p + 1)*(7*p + 2)/13
Let u(g) be the first derivative of g**6/14 + 24*g**5/35 + 75*g**4/28 + 38*g**3/7 + 6*g**2 + 24*g/7 + 7. Factor u(p).
3*(p + 1)**2*(p + 2)**3/7
Let c(k) = -2*k - 4. Let w be c(-2). Let q(x) be the second derivative of 3*x - 1/4*x**4 + 2/3*x**3 + w + 2*x**2. What is b in q(b) = 0?
-2/3, 2
Let z(n) = n**2 - n - 54. Let v be z(8). Factor 0 + 4/11*c + 2/11*c**3 - 6/11*c**v.
2*c*(c - 2)*(c - 1)/11
Let p(l) be the third derivative of -l**8/1008 - l**7/210 - l**6/180 + l**5/90 + l**4/24 + l**3/18 - 11*l**2. Factor p(q).
-(q - 1)*(q + 1)**4/3
Let d(h) be the first derivative of -2*h**6 + 8*h**5/5 + h**4 - 40. Find p, given that d(p) = 0.
-1/3, 0, 1
Let o be 1 + 3 + (2 - 1). Let n = 46 - 42. Factor -2*l - l**o + 2*l**3 - l**2 + l**3 + l**4 - 2*l**4 + 2*l**n.
-l*(l - 2)*(l - 1)*(l + 1)**2
Let w(k) = -k**3 - k**2 + 3*k + 2. Let b be w(-2). Solve -2*u**5 + b*u**5 + 4*u**3 + 0*u - 3*u + u = 0.
-1, 0, 1
Let n(x) be the second derivative of 9*x**8/1960 - x**6/70 - 2*x**5/105 - x**4/84 - x**3/6 - 3*x. Let m(o) be the second derivative of n(o). Solve m(f) = 0.
-1/3, 1
Let b(v) be the first derivative of v**6/10 + 3*v**5/10 - v**3 - 3*v**2/2 + v + 3. Let o(r) be the first derivative of b(r). Solve o(f) = 0.
-1, 1
Let k(r) = -34*r**3 + 83*r**2 + 47*r. Let b(z) = -11*z**3 + 28*z**2 + 16*z. Let y(l) = -11*b(l) + 4*k(l). Factor y(s).
-3*s*(s - 2)*(5*s + 2)
Let d be (-1)/(-5) - (-87)/15. Suppose d*s - 147*s**4 - 18*s - 96*s**2 - 248*s**3 + 17*s**3 = 0. Calculate s.
-1, -2/7, 0
Let p(n) be the first derivative of 3/14*n**4 + 0*n + 0*n**2 - 3 - 4/21*n**3. Factor p(z).
2*z**2*(3*z - 2)/7
Let c(m) be the first derivative of -m**9/6804 - m**8/2520 + m**6/1620 + m**3/3 - 3. Let q(j) be the third derivative of c(j). Factor q(p).
-2*p**2*(p + 1)**2*(2*p - 1)/9
Let u(h) be the third derivative of 0*h**4 + 0*h + h**2 + 0*h**3 + 0 + 5/112*h**8 + 1/120*h**5 + 19/480*h**6 + 59/840*h**7. Find z such that u(z) = 0.
-2/5, -1/3, -1/4, 0
Factor 0*l**2 + 0 - 6/5*l**3 - 3/5*l**5 - 9/5*l**4 + 0*l.
-3*l**3*(l + 1)*(l + 2)/5
Suppose -10 + 4 = 2*d + 3*x, -4*d - 3*x = 6. Let s(j) be the first derivative of d*j**2 + 0*j + 1/3*j**3 - 1 - 3/4*j**4. Factor s(r).
-r**2*(3*r - 1)
Suppose 0 - 16/3*h**3 - 4*h + 26/3*h**2 + 2/3*h**4 = 0. What is h?
0, 1, 6
Let f(g) = 2*g + 28. Let a be f(-13). Factor 8/5*i + a*i**3 + 2/5*i**4 + 0 + 16/5*i**2.
2*i*(i + 1)*(i + 2)**2/5
Let g(v) = 10*v**5 - v**4 - 10*v**3 - 10*v**2 - 11*v. Let u(y) = 2*y**5 - 2*y**3 - 2*y**2 - 2*y. Let l(t) = -2*g(t) + 11*u(t). Factor l(c).
2*c**2*(c - 1)*(c + 1)**2
Let c(p) be the third derivative of 0 - 2*p**2 + 0*p + 1/1155*p**7 + 1/165*p**5 + 0*p**3 + 1/132*p**6 + 0*p**4 - 1/924*p**8. What is g in c(g) = 0?
-1, -1/2, 0, 2
Let d(k) be the first derivative of -3*k**5/5 - 3*k**4/4 + k**3 + 3*k**2/2 + 8. Let d(c) = 0. What is c?
-1, 0, 1
Let k = 56 - 24. Let v = 172/5 - k. Suppose -4/5*u**2 - 9/5 - v*u = 0. What is u?
-3/2
Let j be 2/5*(-5)/8*-2. Factor -3/4*z + 1/4 + j*z**2.
(z - 1)*(2*z - 1)/4
Let j(q) be the second derivative of q**6/60 + q**5/50 - q**4/30 + 2*q**2 + 2*q. Let f(u) be the first derivative of j(u). Factor f(t).
2*t*(t + 1)*(5*t - 2)/5
Let 0*y + 0 + 0*y**2 + 1/3*y**4 - 2/3*y**3 = 0. Calculate y.
0, 2
Let a(u) be the third derivative of 1/15*u**4 + 4*u**2 + 0*u - 4/15*u**3 + 0 - 1/150*u**5. Factor a(q).
-2*(q - 2)**2/5
Let l(c) be the first derivative of -c**6/300 + c**4/60 - 9*c**2/2 + 10. Let s(n) be the second derivative of l(n). Factor s(j).
-2*j*(j - 1)*(j + 1)/5
Suppose -3*b + 3 = -9. Factor -26*v - 3*v**2 + 22*v**4 + 70*v**3 + 27*v**4 + b + 6*v.
(v + 1)**2*(7*v - 2)**2
Suppose -2*f - 5*k + 24 = 0, 4*k - 9 = -2*f + 11. Suppose -3*a - 1 = 4*z, -f*z - 2*z - 2*a + 2 = 0. Let -2/7*r**z - 2/7*r**3 + 2/7*r + 2/7 = 0. Calculate r.
-1, 1
Let -2*r**2 - 4*r - 5*r + r - 26*r**2 = 0. What is r?
-2/7, 0
Let s(n) be the second derivative of n**6/7 + 11*n**5/70 - 4*n**4/21 - 4*n**3/21 - 15*n + 3. Suppose s(f) = 0. Calculate f.
-1, -2/5, 0, 2/3
Let p be (-4)/((-12)/15) + -2. Factor -3/2*s**p + 3/2*s - s**2 + 1.
-(s - 1)*(s + 1)*(3*s + 2)/2
Suppose 4*v + 12 = 4*f, 0*f + 3*f + 3*v + 9 = 0. Let t be 0 - f - (0 + -5). Factor 0*i**4 - 4/7*i**3 + 0*i**2 + 0 + 2/7*i + 2/7*i**t.
2*i*(i - 1)**2*(i + 1)**2/7
Find s such that -12/7*s**2 + 8/7*s + 0 + 4/7*s**3 = 0.
0, 1, 2
Let d(k) be the second derivative of k**4/48 - k**3/8 + 3*k. Factor d(z).
z*(z - 3)/4
Let w be (-252)/(-594) + 1/(-11). Suppose 0 - 1/3*k + w*k**2 = 0. Calculate k.
0, 1
Let n be 52/6*6/4. Suppose -8*i - 9 = -11*i. Let d + 4*d**3 - 11*d - 6*d**i + n + 8*d**2 - 9 = 0. What is d?
1, 2
Let l(y) be the third derivative of 0*y + 3/2*y**4 + 2/3*y**3 + 27/20*y**5 + 0 - 3*y**2. Factor l(x).
(9*x + 2)**2
Let z(f) be the third derivative of 0*f**3 + 1/5*f**6 + 0*f + 2/3*f**4 - 4/105*f**7 - f**2 + 0 - 8/15*f**5 + 1/336*f**8. Solve z(u) = 0.
0, 2
Let l(h) = h**2 - 2. Let n be l(-2). Let z(p) be the second derivative of 1/12*p**4 + 1/2*p**n + 0 + 1/3*p**3 - 2*p. What is j in z(j) = 0?
-1
Suppose -m + 13 = o, 4*m = 2 + 2. Let l be (-7)/(-12) - 3/o. Find v such that l*v + v**3 + 0 - v**2 - 1/3*v**4 = 0.
0, 1
Let w(t) be the second derivative of -t**5/8 - t**4/24 + 5*t**3/12 + t**2/4 + 37*t. Factor w(z).
-(z - 1)*(z + 1)*(5*z + 1)/2
Factor -2/5*b - 2/5*b**3 - 4/5*b**2 + 0.
-2*b*(b + 1)**2/5
Solve -4/3*p**4 - 14*p**2 - 10/3 + 34/3*p + 22/3*p**3 = 0.
1, 5/2
Let j(n) be the third derivative of n**6/84 - 2*n**5/35 - 11*n**4/84 + 2*n**3/7 + 2*n**2 + n. Suppose j(d) = 0. Calculate d.
-1, 2/5, 3
Determine t so that 6*t**3 - 2*t**5 + 663*t**2 - 663*t**2 + 4*t**4 = 0.
-1, 0, 3
Let g(v) be the third derivative of -v**8/2352 - v**7/735 + v**5/210 + v**4/168 + 2*v**2. Determine a, given that g(a) = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**6/90 - q**5/10 - 30*q. Solve c(x) = 0 for x.
-6, 0
Let y be (-18)/12*4/(-3). Suppose 8*d - 7*d - y = 0. Solve -1/4* | {
"pile_set_name": "DM Mathematics"
} |
3 - 2?
254411211
In base 10, what is -246768193 - 5?
-246768198
In base 5, what is 310 - 101040032?
-101034222
In base 10, what is -94488 - -36?
-94452
In base 6, what is 3515250 + 1532?
3521222
In base 2, what is -1 - -110110101010101000111?
110110101010101000110
In base 13, what is -328593 + 132?
-328461
In base 2, what is 10101011001001100011111100 - -1?
10101011001001100011111101
In base 6, what is -332 - 320505?
-321241
In base 12, what is 35b65 + -31b?
35846
In base 6, what is -30 - 40542152?
-40542222
In base 3, what is -2102 + 120212102120?
120212100011
In base 9, what is 24 + 846833?
846857
In base 2, what is -1101 - 111000110100110000100100?
-111000110100110000110001
In base 9, what is 12 + 208770343?
208770355
In base 4, what is -20030110 + -121010?
-20211120
In base 16, what is db178 + -c?
db16c
In base 7, what is 66 - 1333262?
-1333163
In base 15, what is -5 + -34292eb?
-3429301
In base 16, what is -5c241 - -4f?
-5c1f2
In base 3, what is 221210 - -112102121?
120101101
In base 12, what is 2112 + -48661?
-4654b
In base 13, what is 232 + -5989?
-5757
In base 15, what is 1ee8d + 39?
1eec7
In base 13, what is -a72c - 3886?
-112b5
In base 6, what is -113310115035 + -1?
-113310115040
In base 11, what is 104 - 62809?
-62705
In base 10, what is 173 + 769200?
769373
In base 10, what is -340 - 17401?
-17741
In base 14, what is 2a9da442 + 0?
2a9da442
In base 12, what is -28b061 - -42?
-28b01b
In base 16, what is 0 - -24bce7b?
24bce7b
In base 3, what is -2122111022201120 - 11?
-2122111022201201
In base 13, what is -191205 - 73?
-191278
In base 15, what is -882 - -3c7?
-4aa
In base 5, what is 21 - -340411244?
340411320
In base 5, what is 4433433 + 344?
4434332
In base 16, what is 270648d - 1?
270648c
In base 3, what is -12220002101 - 2212?
-12220012020
In base 6, what is -11143444 - -104?
-11143340
In base 8, what is 7130710 + -44?
7130644
In base 9, what is -18544221 + 5?
-18544215
In base 16, what is 1b1d + 3991?
54ae
In base 9, what is 6657 + -7226?
-458
In base 13, what is 30b7 - -401c?
7106
In base 5, what is 212144 - -442410?
1210104
In base 16, what is 3 - 129735?
-129732
In base 4, what is -22012 + -101212231?
-101300303
In base 5, what is -132222 - -4034?
-123133
In base 3, what is 1110212120211 + 11111?
1110212202022
In base 13, what is 161351bc + -2?
161351ba
In base 8, what is 34 - 126727151?
-126727115
In base 9, what is -618 - 766721?
-767440
In base 16, what is 50e89e7 + 6?
50e89ed
In base 7, what is 54 - 1221343?
-1221256
In base 13, what is -2b01 - 445a?
-725b
In base 7, what is 2146613053 + -4?
2146613046
In base 7, what is -4 + -11132240?
-11132244
In base 15, what is -3 + 1e886ae8?
1e886ae5
In base 5, what is 24322022142 - 4?
24322022133
In base 5, what is -133320242112 + 0?
-133320242112
In base 6, what is -101223 - 14550?
-120213
In base 8, what is 731370534 - 4?
731370530
In base 16, what is -4f7bc2 + 0?
-4f7bc2
In base 6, what is -3 + -134511?
-134514
In base 16, what is -6d64e55 + -1?
-6d64e56
In base 14, what is 2161cc7 - 3?
2161cc4
In base 4, what is 13003000200 - -121?
13003000321
In base 16, what is -315d + 703d?
3ee0
In base 14, what is 11221b3 - -27?
11221da
In base 2, what is 100 - 101011001100111001000?
-101011001100111000100
In base 3, what is 1 - 2222002002010111?
-2222002002010110
In base 6, what is 23243432 + 5?
23243441
In base 13, what is 16 - 38186b?
-381855
In base 7, what is 12453544 - 0?
12453544
In base 10, what is -2 - 22980319?
-22980321
In base 2, what is 1000000011111111111111011110 - -1?
1000000011111111111111011111
In base 3, what is 111210 - -221122?
1110102
In base 8, what is -2552 + 1160753?
1156201
In base 2, what is -1111110101 + 1100100110100000?
1100010110101011
In base 13, what is 2b92 - 341?
2851
In base 9, what is -260837122 + -5?
-260837127
In base 4, what is -1 + -202110103310?
-202110103311
In base 4, what is 302031 - -3221?
311312
In base 11, what is 98 - -5428?
5515
In base 2, what is 11111000110100011100000001 + -1011?
11111000110100011011110110
In base 8, what is -63666242 - -3?
-63666237
In base 2, what is 10011010011111010 - 11111000?
10011010000000010
In base 14, what is 69ca + -2c0?
670a
In base 14, what is 1730 + -379c?
-206c
In base 10, what is -2339535 - 499?
-2340034
In base 3, what is -1 + 212011000011?
212011000010
In base 4, what is 2012 + -23030201?
-23022123
In base 2, what is -1000001011110011011011 + -111?
-1000001011110011100010
In base 5, what is -122 - 133041242?
-133041414
In base 2, what is -10110010001000111111011 - -11?
-10110010001000111111000
In base 15, what is 10 + -1684aa?
-16849a
In base 15, what is -2594494 - 13?
-25944a7
In base 4, what is -3002010200 + -123102?
-3002133302
In base 9, what is 3514 + 5132?
8646
In base 2, what is 101001101 - 1001001010101101011?
-1001001010000011110
In base 12, what is -3 + 78a1a3?
78a1a0
In base 11, what is -67 + 29a0?
2934
In base 15, what is 69 + -142bc?
-14253
In base 12, what is 3 + 4448b8a?
4448b91
In base 3, what is 1011 + -21200110?
-21122022
In base 4, what is 1110232 - -3300?
1120132
In base 16, what is 4a3f + a?
4a49
In base 11, what is -2903138 - -4?
-2903134
In base 8, what is -7 + 2237615?
2237606
In base 4, what is 20133210321 + 3033?
20133220020
In base 5, what is -10043434013 + -10?
-10043434023
In base 4, what is -22101313210300 + 1?
-22101313210233
In base 16, what is a182 + 1ff?
a381
In base 13, what is -1c27c42 + -6?
-1c27c48
In base 8, what is 53551200 - 0?
53551200
In base 11, what is -496 + 1242a?
11a44
In base 8, what is -152516420 - -2?
-152516416
In base 8, what is -51 - 4032352?
-4032423
In base 2, what is -1101011 - -10111000001101001?
10110111111111110
In base 8, what is -21576472 + 4?
-21576466
In base 7, what is -4521120 + 602?
-4520215
In base 16, what is 3d98360 - -5?
3d98365
In base 3, what is -1212022210 - -111020?
-1211211120
In base 3, what is -21101122 + -1021121?
-22200020
In base 15, what is 17 - 2c80e50?
-2c80e38
In base 6, what is 5 + -40443234?
-40443225
In base 14, what is 4 - 4d74a25?
-4d74a21
In base 7, what is -112233 - 20513?
-133046
In base 14, what is 77d + 8263?
8a02
In base 14, what is -bdd + 1531?
732
In base 11, what is 65311 + -123?
65199
In base 14, what is 5 - 2438a2?
-24389b
In base 11, what is 652522 - 7?
652516
In base 7, what is 11106 + 1205456?
1216565
In base 2, what is -10100011101110111 - 100101111000?
-10101000011101111
In base 14, what is -8 + 4d58978?
4d58970
In base 6, what is 11013022 + -5340?
11003242
In base 12, what is 3 - 61323?
-61320
In base 13, what is -1c53b9 - 121?
-1c550a
In base 13, what is 605 - -16c422?
16ca27
In base 11, what is -295358 - 766?
-296013
In base 13, what is 100a70 - -a?
100a7a
In base 6, what is -25332454 - -30?
-25332424
In base 16, what is 1f - 25c8a?
-25c6b
In base 10, what is 22 + 734350?
734372
In base 11, what is -1a73 + 5095?
3122
In base 10, what is 45 + 3845332?
3845377
In base 15, what is e2ad8b - -5?
e2ad91
In base 12, what is 80 + -6580?
-6500
In base 16, what is -2568 + 35bb?
1053
In base 4, what is -1030011230210 + -32?
-1030011230302
In base 11, what is a + -157a9805?
-157a97a6
In base 14, what is -101da30 - -5?
-101da29
In base 13, what is 23a75378 - 0?
23a75378
In base 12, what is 4158 + -4630?
-494
In base 3, what is 2212112 + -1202222200?
-1200010011
In base 15, what is -5 + -11d58dd?
-11d58e3
In base 14, what is 7b4c0 + -45?
7b479
In base 14, what is -4557 + -d91?
-5508
In base 11, what is 0 - -1529a076?
1529a076
In base 13, what is 3784844 + a?
3784851
In base 14, what is -7a8 - -751?
-57
In base 9, what is -180 - 5828?
-6118
In base 6, what is -2 - 330312133?
-330312135
In base 4, what is -1023232 - 22221130?
-23311022
In base 15, what is -44 + -b9484?
-b94c8
In base 4, what is 113331331 - -3031?
120001022
In base 2, what is -1001010000 + 11111111001010?
11110101111010
In base 13, what is 3459 + -852?
2907
In base 12, what is 1 + 3117599a?
3117599b
In base 12, what is 143a952 - -92?
143aa24
In base 13, what is 6 + -c43931?
-c43928
In base 6, what is -2311321143 - 4?
-2311321151
In base 4, what is 302 - 203133022020?
-203133021112
In base 11, what is 355 - 11916?
-11571
In base 12, what is -589 - -6503?
5b36
In base 8, what is 614440 + 2670?
617330
In base 16, what is 1b + -3bada1?
-3bad86
In b | {
"pile_set_name": "DM Mathematics"
} |
53647 (c) -5
a
What is the fifth biggest value in 3/4, 1/2, 33, 1/3, 2/3, 1450?
1/2
What is the third biggest value in -231.3, 5, -42/37?
-231.3
Which is the fourth biggest value? (a) -0.4 (b) -20.671 (c) -1/3 (d) -0.5 (e) -2 (f) 4
d
What is the seventh smallest value in 1/2, -57, -3, 0.9, -300, 0.4, 4/7?
0.9
What is the third smallest value in 9, 7, 829, 337?
337
What is the second smallest value in -1/9, -227, -6, 2, 4, -7/5, 0.1?
-6
What is the smallest value in -3, 115689, -6?
-6
What is the biggest value in 3/4, -3, 0.8, 1/9, -0.3, -3.17?
0.8
Which is the sixth biggest value? (a) 2/7 (b) -1/2 (c) 8/5 (d) 14 (e) 22 (f) 0
b
Which is the second smallest value? (a) 1/4 (b) 2 (c) -1.4 (d) 5 (e) 1/2 (f) 0.0151
f
Which is the third smallest value? (a) 1 (b) 34 (c) -5/290058
b
Which is the second smallest value? (a) -163 (b) -5 (c) 34 (d) 2
b
Which is the smallest value? (a) -5 (b) 14 (c) 3 (d) -0.21 (e) -4 (f) 1526
a
What is the smallest value in 83, -83/2, 111/464?
-83/2
What is the second smallest value in -0.5, 0.05, 3420227?
0.05
What is the third biggest value in 17, -3/5, 2/985, 320/13, 0.2?
0.2
What is the second biggest value in -40, 87, 0, -108, 2?
2
Which is the third biggest value? (a) 5 (b) 1/5 (c) 92 (d) -102
b
Which is the second biggest value? (a) -10158 (b) -198/17 (c) -0.4
b
What is the third biggest value in -760/3, -17, -3, 2/7, -5, 2/3?
-3
Which is the second biggest value? (a) -0.05 (b) 1/3 (c) -1/3 (d) 183/2 (e) 27
e
What is the third smallest value in -0.3, 2/5, -404/1903, 10?
2/5
Which is the seventh smallest value? (a) 34 (b) -4 (c) 0.4 (d) 3/4 (e) 0.5 (f) 0.59 (g) -0.1
a
Which is the biggest value? (a) -65709 (b) 2/9 (c) 0.4 (d) -0.0139
c
What is the second biggest value in -4/5, -0.3, -1.6899, -4?
-4/5
Which is the smallest value? (a) 0.32 (b) 20651 (c) 5/4 (d) 1/3
a
What is the fifth smallest value in -0.2, -3, -5/6, 2/5, 5, 0.07456?
2/5
Which is the fourth smallest value? (a) -2/9 (b) -0.808 (c) 1622 (d) 4 (e) 2/15 (f) -1
e
What is the third smallest value in 297520, 0, -3/17?
297520
Which is the smallest value? (a) 6/19 (b) -268 (c) 13433
b
Which is the third smallest value? (a) -26/5 (b) 191 (c) 18 (d) 3
c
Which is the third smallest value? (a) 30402 (b) 1 (c) -0.1 (d) 0.2 (e) -0.11
d
Which is the second biggest value? (a) 1372 (b) -2 (c) -3732 (d) 4/7
d
Which is the third biggest value? (a) -234 (b) -7 (c) -2361/13
a
Which is the fourth biggest value? (a) -183 (b) 12 (c) 1932 (d) -1
a
What is the smallest value in 2, -2268, -1169, -1, -0.4?
-2268
Which is the third smallest value? (a) -38/31347 (b) 2 (c) -3/8
b
What is the fifth smallest value in 3, -4, 17, 1.9, 1, -2, -15?
1.9
Which is the second smallest value? (a) -0.05231 (b) 15 (c) -1/206 (d) 1/6
c
Which is the third biggest value? (a) -1/4 (b) 0.06863428 (c) 3/2 (d) -0.3
a
Which is the fifth smallest value? (a) -4 (b) -3 (c) 0.863 (d) 12 (e) -0.1 (f) 18
d
What is the fifth biggest value in -20, -5, -2, -2.4, 0.084, 1/5, 1/3?
-2.4
What is the fifth smallest value in -3/7, 1.15, 126, 0.2, 0.5, -0.3?
1.15
Which is the fifth biggest value? (a) 2/5 (b) -2 (c) -0.4 (d) -35 (e) -1/55
d
What is the third biggest value in 1, -4/19, 31097, 4?
1
What is the third biggest value in 744473, -2, 0.047?
-2
Which is the second smallest value? (a) 7.51 (b) 1 (c) 3.1 (d) -741
b
Which is the biggest value? (a) -0.3 (b) 183469.5 (c) 4
b
What is the third biggest value in -3, -0.1, -138670?
-138670
What is the biggest value in 0.01, 0.1, 538, 44.7, -0.2, 2/3, -5/4?
538
Which is the smallest value? (a) 1/2 (b) -982 (c) 1/13 (d) -5 (e) -4
b
What is the smallest value in 2/13, 1, 0.1, 0.4, 1/2, 159?
0.1
What is the smallest value in -557, -0.5, 461/18?
-557
Which is the third smallest value? (a) 2 (b) -0.1 (c) 2/3 (d) 0.1 (e) -0.4 (f) -375 (g) 18
b
Which is the biggest value? (a) -2/3547 (b) 4/371 (c) 1/8 (d) -0.4
c
Which is the third smallest value? (a) -4 (b) -2/5 (c) 0 (d) 119962 (e) 3
c
What is the second smallest value in -0.09, -26/319, 5, 269?
-26/319
Which is the smallest value? (a) 35297 (b) -5/2 (c) 4
b
What is the fourth smallest value in -0.1, -15, 3, 3/4, 5.93?
3
What is the third smallest value in 6/11, 3, -53, 1/7, -1.21, 0.03, -2?
-1.21
Which is the second smallest value? (a) -1 (b) 112/117 (c) 0.1 (d) -20 (e) 16
a
What is the sixth biggest value in 1/9, 1413, -86, -0.1, -0.9, 3, 0?
-0.9
Which is the second smallest value? (a) 8 (b) 2/19 (c) -10 (d) -2 (e) 252 (f) 0 (g) 3/10
d
What is the second biggest value in 4/5, -1/27, -1, 0.03489, 1/3?
1/3
What is the sixth smallest value in -1.9, 1/3, -1, 2, -20, -4, -670?
1/3
What is the second smallest value in -1/5, -1, 0.2, 5, -59, -3, -1/45?
-3
What is the fifth biggest value in -2, 4/7, -0.3, -24515, 0.3, 31?
-2
What is the smallest value in 59, -3, 3/5, -1.8, -723.7?
-723.7
What is the second biggest value in -1.18, 5, -1, -140, 4/21?
4/21
Which is the fourth smallest value? (a) 1 (b) -1/7 (c) -2/21 (d) 1/4 (e) 68 (f) -0.404
d
Which is the third smallest value? (a) 0.014 (b) 0 (c) 10/27 (d) -12
a
Which is the biggest value? (a) -7.87 (b) 12501 (c) -2/11
b
What is the biggest value in -9, -3/7, -2/9, -3/11, -0.5, -8, 2/9?
2/9
Which is the second biggest value? (a) -5 (b) 1 (c) -0.4154 (d) -0.4 (e) -75/8 (f) 24
b
What is the second smallest value in 0, 27975, 38/33?
38/33
What is the smallest value in 2821, -2/3, -23.8, 0.11?
-23.8
What is the third smallest value in 4671, 2, -1/3, -2.8?
2
Which is the biggest value? (a) 12307.462 (b) 3 (c) -18
a
Which is the third biggest value? (a) 0.2 (b) 112 (c) -24.2478
c
What is the second smallest value in 2/169, -2/9, 0.8094, 2/63?
2/169
What is the fifth smallest value in -249, -42, -0.5, -0.4, 0, -0.2?
-0.2
Which is the fifth biggest value? (a) 3 (b) 12 (c) 194 (d) -3 (e) 0.27
d
What is the seventh biggest value in 2, -688, -1, 27, -0.4, -5, 34?
-688
Which is the smallest value? (a) -3 (b) 63870 (c) -12
c
What is the second smallest value in -2/9, 6, 1124, -3, 25?
-2/9
What is the second biggest value in -10, -0.3, -4/615, -149?
-0.3
Which is the smallest value? (a) -3 (b) -2 (c) 9296771/4
a
What is the second smallest value in -10, 0.3, -0.06220499?
-0.06220499
What is the third biggest value in 942.1, 1, 36?
1
What is the third smallest value in 0.2, 1.1, 24.6, 9/17?
1.1
Which is the sixth smallest value? (a) 170 (b) 846/7 (c) -0.4 (d) -4 (e) -0.05 (f) 2
a
Which is the fourth biggest value? (a) 1/9 (b) 29616 (c) -4/3 (d) 1/8
c
Which is the smallest value? (a) -2/9 (b) 5 (c) 8413 (d) 431
a
What is the third biggest value in -10.7, -0.08, -0.1, -4, -592?
-4
Which is the biggest value? (a) 26 (b) -4717 (c) 2 (d) -0.5 (e) -26
a
What is the smallest value in -312, 2/5, 0, -3351?
-3351
Which is the biggest value? (a) 3 (b) 4 (c) -0.045428 (d) -0.1 (e) -1
b
Which is the second biggest value? (a) -8 (b) -2/7 (c) 0.01 (d) 158/3 (e) -3/5
c
Which is the biggest value? (a) -10 (b) 56562 (c) 4
b
What is the fourth biggest value in 5, 0, 242496, 0.3, -1/3, 2/27?
2/27
Which is the second biggest value? (a) -19958 (b) -1/7 (c) -0.4 (d) -1 (e) 111
b
What is the fourth smallest value in -6352, -7.1, -3, -4?
-3
What is the third biggest value in 0.19, 1/7, 80, -1/97?
1/7
What is the third biggest value in 7.3, 3.417, 2/25?
2/25
Which is the third biggest value? (a) 1 (b) -1.87 (c) 37 (d) 2/15 (e) 0 (f) -19 (g) -2
d
Which is the third biggest value? (a) -21 (b) 11 (c) 4 (d) -26/29 (e) -7
d
What is the fifth biggest value in -5/3, 2/569, 2, -0.3, -0.01?
-5/3
Which is the fourth biggest value? (a) -3 (b) -40208605 (c) -4 (d) 3 (e) 1
c
Which is the fourth smallest value? (a) -0.2 (b) -0.5 (c) 6/5 (d) 405 (e) 0.058
c
What is the fourth smallest value in -88, -1/74, -3, 109?
109
Which is the fourth biggest value? (a) 285 (b) -50 (c) -4 (d) -3 (e) -7
e
What is the second biggest value in 1/17708, -4, -61/4, 2/11, -2/5?
1/17708
What is the fifth smallest value in 416, 10/7, -2, -3, -1/3, 7/2, 2/11?
10/7
What is the smallest value in -146, 50, -1, -4, | {
"pile_set_name": "DM Mathematics"
} |
-l + 7 = z + 1, 14 = 3*z + 2*l. Suppose 6*h - 1 - 23 = 0. Suppose 4*g - 2*n + z = 5*g, h = 4*n. Give w(g).
4
Let y(s) be the first derivative of s**4/4 - 3*s**3 - s**2/2 + 12*s - 40. Calculate y(9).
3
Suppose 6*q - 20 = q. Let v(a) = -q*a**3 + 4*a**3 - 6*a**3 - a**2 - a**2 + 1. Determine v(-1).
5
Let y(t) = 2*t + 2. Suppose -6*m - 43 = -7. Calculate y(m).
-10
Let v = 2 + 3. Let x(w) = 3*w + 9 - 2 - v. Calculate x(3).
11
Let v = -4 + 1. Let c be 1*(-3 + (-9)/v). Let b(n) = -n**2. Determine b(c).
0
Let i be (-31)/(-4) - (-1)/4. Let x(d) = d**3 - 7*d**2 - 8*d - 9. Calculate x(i).
-9
Let q(i) be the first derivative of i**7/840 + i**6/180 - i**5/60 + i**4/8 + 2*i**3/3 + 7. Let m(y) be the third derivative of q(y). What is m(-3)?
0
Suppose -3*v = 2*n + 34, 2*n + 0*n + 26 = -2*v. Let r(p) = p + 6. Give r(v).
-2
Let i(a) be the second derivative of -a**5/20 + a**4/3 + a**3 - 3*a. Suppose -16 = 3*s + 5. Let q = -2 - s. Determine i(q).
5
Let l(g) = -g**2 - 5*g + 10. Let z(b) = -2*b**2 - 9*b + 19. Let r(u) = -5*l(u) + 3*z(u). Let k be (-16)/(-6) + (-2)/3. Suppose 3*x = k*x - 5. Give r(x).
-8
Let o(u) be the second derivative of 2*u**3/3 - 20*u. What is o(-2)?
-8
Let q be (21/(-7))/(3/(-4)). Let s(u) = u**3 - 5*u**2 + 3*u - 4. What is s(q)?
-8
Let m = 36 + -31. Let z(f) be the second derivative of f**5/20 - f**4/2 + 7*f**3/6 - 7*f**2/2 - 2*f. Determine z(m).
3
Let u(h) = -15*h - 4*h - 6*h**2 + 5*h**2 + 4 + 5*h. Let s be u(-14). Let j(r) be the first derivative of -r**3/3 + 5*r**2/2 + r - 1. Give j(s).
5
Let n(h) be the second derivative of -5*h**3/6 + 2*h. Let b(t) = -t**3 + 10*t**2 + 12*t - 12. Let u be b(11). Let p be u*4/12*3. What is n(p)?
5
Let f(y) = -5*y + 3. Let h(b) = 4*b + 6 - 2*b - 11*b. Let r(q) = -5*f(q) + 3*h(q). What is r(3)?
-3
Let c = 10 - 3. Let a(z) = z**2 - 8*z - 9. Give a(c).
-16
Let t(f) = -3*f - 18. Let c be t(-5). Let k(i) = i**2. Determine k(c).
9
Let x(s) = -s**2 - 3 - 59*s + 54*s + 6. Give x(-4).
7
Let m(y) = y**3 + 6*y**2 + 6*y - 6. Suppose a = -2*a - r - 17, 3*a + 4*r + 23 = 0. Give m(a).
-11
Let y(z) = 0*z**2 - 3*z + 6*z**2 + 1 - 3*z - 5*z**2. What is y(5)?
-4
Let r(x) = x**3 - 9*x**2 + x - 12. Let n be r(9). Let v(l) = -2*l - 2. Determine v(n).
4
Let g(c) = c**3 + 3*c**2 - 4*c + 1. Let f(i) = i**3 - 2*i**2 + i + 4. Let s be f(3). Let q = 2 + -2. Suppose s = -q*p - 4*p. What is g(p)?
1
Let j(a) = 8*a + 4*a - a. Give j(2).
22
Let q = 295 - 7079/24. Let x(w) be the third derivative of -3*w**2 + 0*w - 1/60*w**5 - q*w**4 - 1/2*w**3 + 0. What is x(0)?
-3
Let v(c) = 2*c**3 + 4*c**2 - 2*c - 2. Suppose 2*s + 8 = -2*l, 1 = -2*s - 1. Determine v(l).
-14
Let m(i) = -2*i. Let g = -10 - -7. Calculate m(g).
6
Let y = -13 - -16. Let a(o) = 43*o - 45*o - 2*o**3 - 2*o**2 - 1 - 2*o**y. Give a(-1).
3
Suppose 0*c = -c. Let l(o) = -o**3 - 9 - 4*o + 4*o. What is l(c)?
-9
Let m(s) = 3*s + 1. Suppose -4*a + 5*t = -11, -2*t = 4*a + 3*t + 19. Let u be -2*(0 + 2 + a). Determine m(u).
-5
Let a(u) = u + 1. Let q(b) = -4*b + 0*b - 5 - 11. Let h(v) = -5*a(v) - q(v). Determine h(5).
6
Let i(c) = c**3 + 6*c**2 + c - 4. Suppose n = -2 - 3. What is i(n)?
16
Suppose -11 = -r + 3*g, 3*r + 0*r + 3*g = 9. Let y(n) = n**3 - 5*n**2 - 3*n + 1. Determine y(r).
-14
Let u(o) = -o**3 + 4*o**2 - o + 1. Suppose -g + 2*g = 10. Let n = 5 - g. Let p(i) = i**3 + 5*i**2 - i - 3. Let x be p(n). What is u(x)?
7
Let f(c) = c**3 - 7*c**2 - 4*c + 1. Let h(i) = -i**3 + 8*i**2 + 4*i - 2. Let q(l) = 4*f(l) + 3*h(l). Determine q(5).
3
Let f(x) = -x**3 + 4*x**2 + 5*x - 5. Suppose 0 = -34*d + 30*d + 16. Calculate f(d).
15
Let l(s) = 9*s**2 - s. Let k(j) = -4 - 1 + j - 1. Let d(g) = g - 7. Let o(c) = 2*d(c) - 3*k(c). Let x be o(3). Calculate l(x).
8
Suppose -6*u = -3*u - 3. Let d be -1 - u - -2*3. Let a(r) = r**2 - 5*r + 1. Give a(d).
-3
Let o be 4 - (0 + (-2 - 0)). Let b(v) = v**3 - 6*v**2 + 3. Determine b(o).
3
Let j(z) = -2 - 14*z + z**2 + 0*z**2 + 32*z - 19*z. Suppose 5*v - 5 = -3*h, 0 = v - 0*h - 3*h + 17. Calculate j(v).
4
Let f(n) = 2*n - 6. Suppose 0 = 4*g + g. Suppose d + 1 = g, 6*u - 18 = u + 3*d. Suppose -u*l + 6*l + 28 = 4*a, 20 = 2*a - 3*l. What is f(a)?
2
Let g(j) = j**2 - 20 - 15*j**3 - j + 0*j + 21 + 2*j. Calculate g(-1).
16
Let g(n) = 5*n + 3 + 6*n**2 + 0*n**2 - 2*n + 0*n. Give g(-2).
21
Let r(k) = 7*k + 9. Let j(c) = c + 1. Let l(m) = -5*j(m) + r(m). Let s(g) = g**3 + 8*g**2 + 5*g - 10. Let v be s(-7). Determine l(v).
12
Let f be ((-9)/6)/(9/(-24)). Let o(w) be the third derivative of -1/60*w**5 + 0*w**3 + 1/12*w**f - 2*w**2 + 0 + 0*w. Determine o(1).
1
Let n(r) = -r - 2. Suppose 21 = -3*t - 2*o, -3*t - 5*o - 15 = -o. Let w = t + 11. Calculate n(w).
-4
Let v(x) = x - 4. Let s(f) = 2*f - 9. Let c(n) = 3*n - 13. Let o(j) = -5*c(j) + 7*s(j). Let y be o(-2). Let t be v(y). Let g(q) = q - 6. Give g(t).
-6
Suppose 7 - 4 = 3*q. Let d(x) = -x. Give d(q).
-1
Let c(i) = -4*i - 2. Let z(r) = r**2 + r + 1. Let f(b) = -c(b) + z(b). Calculate f(-5).
3
Suppose q = -0*q + 1. Let c(l) = 2 - 3*l - 1 - 6*l + 0. What is c(q)?
-8
Let h(s) = -s**3 - s + 1. Suppose 4*u - 26 = 5*y, -3*y + 24 = -7*y + 4*u. Let j = y - -2. Calculate h(j).
1
Let z(n) = n + 10. Let u(r) = r**3 + 2*r**2 + 3*r + 10. Let k be u(-3). What is z(k)?
2
Let c(w) = w**3 - 6*w**2 + 5*w - 4. Suppose -15 + 0 = -3*g - 4*m, 0 = 2*g - m - 10. Give c(g).
-4
Let w(f) = f**2 - f + 4. Let b = 5 - 7. Let r be -3 - b - (4 + -3). Let j be (r - -2)*(-2)/4. Determine w(j).
4
Let j(n) = n**3 - 2*n**2 - 4*n + 3. Let p be j(3). Let s be p*(30/(-9) + 3). Let r(c) = -c**3 + c**2 - 7. Calculate r(s).
-7
Let o(c) = -11*c**3 - 3*c**2 + 6*c + 5. Let u(w) = 4*w**3 + w**2 - 2*w - 2. Let h(a) = -3*o(a) - 8*u(a). Let k = -1 + -1. What is h(k)?
1
Let s(c) = c**3 - 6*c**2 + 5*c + 4. Suppose 21*j = 17*j + 16. Calculate s(j).
-8
Let q(o) be the third derivative of o**4/12 - o**3/6 + 11*o**2. What is q(-3)?
-7
Let u(s) be the second derivative of s + 5/6*s**3 + 3/2*s**2 + 0 - 1/12*s**4. Let z be 21/4 + (-2)/8. Determine u(z).
3
Let t(j) = -j - 3. Let z = -6 + -2. Let o be (0/(-2))/(z/(-8)). Give t(o).
-3
Let z(w) = 6 + w + w**3 - 1 + 7 - 4. Let a(t) = t**2 + t - 2. Let c be a(-3). Suppose -f + c*f = 0. Determine z(f).
8
Let s(n) be the second derivative of -n**3/6 - 5*n**2/2 + 2*n. Let m = 235 - 235. What is s(m)?
-5
Let b = -21 - -25. Let l(m) = -m**2 + 4*m + 3. Calculate l(b).
3
Let r(b) = -b**3 - 4*b**2 - b. Let u(x) be the second derivative of x**3/3 - 3*x. Let h be u(-1). What is r(h)?
-6
Let q(j) be the second derivative of j**4/12 - 5*j**3/6 + 5*j**2/2 + j. Let h(y) be the first derivative of q(y). Give h(5).
5
Let v(k) = 4*k**2 - 1. Let c be v(1). Let y(q) = -c + 2*q**2 + 5*q - 3*q**2 + 5. Let h be -2*2*(-14)/28 + 2. Give y(h).
6
Let k be (-3)/(-2)*(0 - -4). Suppose -4*q = -5*d - 6*q + 2, d = q + k. Let r(b) = -3 - 5*b - 1 + b**3 - 2*b**d + 4*b**2. Determine r(-3).
2
Let l(c) = -2*c**2 - 8*c + 6. Let o = 9 - 15. What is l(o)?
-18
Let h(z) be the first derivative of -z**2/2 + z - 5. What is h(5)?
-4
Let t(y) = 3*y - 7. Let q(g) = 0 + g**3 - 2*g**2 + 0*g**3 - g - 1. Let i be q(3). What is t(i)?
8
Let l(c) = -c - 1. Suppose -3*k + 16 = -4*h - 8, 4*k - 22 = 2*h. Give l(h).
2
Suppose -1 - 4 = -s. Suppose 0 = -2*q - 4*r + r - 15, 0 = 3*q - s*r - 25. Let d(z) = 2*z - z**3 + 4*z + 3 + q*z**3 - 4*z**2. What is d(-5)?
-2
Let t(b) = -b + 8. Suppose 4 = 5*i - 4*f, 2*i = -0*i + 2*f. Suppose -3*m - j + 19 = 0, -5*m = j - i*j - 27. Determine t(m).
2
Let f(t) be the first derivative of -t**3/3 + 7*t**2/2 + 8*t - 3. Calculate f(6).
14
Let u(k) = -k + 3. Suppose 0 = -4*o + 26 - 10. Let z(l) = -l + 2. Let i(x) = o*u(x) - 3*z(x). Let g be 0/(-7) + (1 - 1). What is i(g)?
6
Let l(h) = -25*h + 22*h + 0 - 3 - 2*h**2 - h**3. Let i(p) = -p**2 - p - 2. Let n be i(0). Determine l(n).
3
Let g(i) = 2*i**2 + i. Let p be (-12)/(-20)*3 + (-2)/(-10). Give g(p).
10
Let o = -3 - -2. Let u(l) be the second derivative of 2*l**3/3 - 5*l. What is u(o)?
-4
Suppose 2*p - 4*p - 5*n + 29 = 0, -2*n = -5*p. Suppose a - 6 = -0*a. Let z(i) = -4*i - a + p*i + 1. Give z(-4).
3
Suppose 3*l + 33 = 3*p - 0*l, 2*l = -10. Suppose -2*f - 8 = -3*q + p*q, 5*f - 14 = q. Let t(c) = -4*c + 3*c - f - c. Give t(-3).
4
Let c(z) = z**3 + 6*z**2 - 4*z - 2. Let g be c(-5). Suppose 5*t - g = -13. Let d(b) = b | {
"pile_set_name": "DM Mathematics"
} |
ify (1*(sqrt(1216) - (-2 + sqrt(1216) + -3 - sqrt(1216))))**2.
80*sqrt(19) + 1241
Simplify (sqrt(35) - sqrt(875))/sqrt(5) - (1 + 2*sqrt(7)).
-6*sqrt(7) - 1
Simplify (6*sqrt(304))**2 + -2*sqrt(1539).
-18*sqrt(19) + 10944
Simplify (1 + 3*sqrt(720)*-1)**2 + 0.
-72*sqrt(5) + 6481
Simplify 3*(-2 + 2*(sqrt(637) + sqrt(637) + 0)**2).
15282
Simplify 1 + -3 + (-1*sqrt(180))**2.
178
Simplify -2 + sqrt(136)/(1*sqrt(8)) + 1.
-1 + sqrt(17)
Simplify ((sqrt(85) + (sqrt(85)*-2 - sqrt(85)) + sqrt(85))*5 - sqrt(85))/(sqrt(20)*1 - sqrt(20) - sqrt(20)).
3*sqrt(17)
Simplify -2 + sqrt(171) + 1 + 2.
1 + 3*sqrt(19)
Simplify sqrt(132)/(-4*4*sqrt(12)).
-sqrt(11)/16
Simplify 5*sqrt(363)*1.
55*sqrt(3)
Simplify ((sqrt(3168)*-2)/(-3*sqrt(11)*2))**2.
32
Simplify -4 + sqrt(21)/(-1*sqrt(567) - sqrt(567) - sqrt(567)).
-4 - sqrt(3)/27
Simplify (3*-2*sqrt(14)/(sqrt(32) - sqrt(8)))**2.
63
Simplify (sqrt(405)*1)**2*-5.
-2025
Simplify (sqrt(2016) + (sqrt(2016)*1 - sqrt(2016)) + sqrt(2016))/sqrt(2).
24*sqrt(7)
Simplify ((0 + sqrt(98) + sqrt(98))*-2 + sqrt(98))**2 - ((sqrt(128)*-3)**2 + sqrt(32) + sqrt(32)).
-270 - 8*sqrt(2)
Simplify (sqrt(275) - (sqrt(275) + -2 + 3 + sqrt(275) + sqrt(275)) - sqrt(275))**2.
30*sqrt(11) + 2476
Simplify (sqrt(4) + sqrt(48)/(sqrt(12) + sqrt(432)) + sqrt(4))/sqrt(2).
15*sqrt(2)/7
Simplify -5 + (4*1*sqrt(1100))**2.
17595
Simplify 1 + sqrt(17) + 3 - ((sqrt(17) + 1)*3)**2.
-158 - 17*sqrt(17)
Simplify ((-1*sqrt(196) - sqrt(196)) + sqrt(196))/sqrt(7) - (sqrt(112)*1)**2.
-112 - 2*sqrt(7)
Simplify 4*sqrt(1872)*-5.
-240*sqrt(13)
Simplify (sqrt(11) - (sqrt(99) + -4)) + -1.
-2*sqrt(11) + 3
Simplify ((sqrt(153) + -4*1*sqrt(153) + sqrt(153))/(sqrt(144)/sqrt(4) - sqrt(9)) + 1)**2.
-4*sqrt(17) + 69
Simplify (sqrt(891) - (sqrt(891) + sqrt(891) + sqrt(891) + 2)**2)*2.
-16046 - 198*sqrt(11)
Simplify (-4*(-5 + sqrt(50)))**2.
-800*sqrt(2) + 1200
Simplify sqrt(114)/(sqrt(6) + -5*sqrt(54) + sqrt(6)).
-sqrt(19)/13
Simplify (((sqrt(228)*2)/sqrt(12) - (sqrt(1900)*-1 + sqrt(1900)))*5)**2.
1900
Simplify (sqrt(2304)*1)/(sqrt(64)/sqrt(72)).
36*sqrt(2)
Simplify -6*(-2*(sqrt(11) - (2*sqrt(11) + sqrt(11))**2) - sqrt(11)).
-1188 + 18*sqrt(11)
Simplify (sqrt(525)*1)/(sqrt(147) + sqrt(147) + sqrt(147)*1 - sqrt(147) - sqrt(3)).
5*sqrt(7)/13
Simplify 2 + ((sqrt(2299) + sqrt(2299) + (1*sqrt(2299)*6 - sqrt(2299)) - sqrt(2299)) + sqrt(2299))**2.
112653
Simplify 5 + sqrt(320) - sqrt(1280).
-8*sqrt(5) + 5
Simplify (1*sqrt(931)*-4 + 2 + sqrt(931) + -1*sqrt(931))**2.
-112*sqrt(19) + 14900
Simplify sqrt(5) - sqrt(10)/(sqrt(14)/sqrt(7)) - (3 + sqrt(5))*-5.
5*sqrt(5) + 15
Simplify sqrt(17) + -2 + 0 - (sqrt(17)*2 + 3).
-5 - sqrt(17)
Simplify ((2*sqrt(3))**2 - sqrt(3)) + -2 + -2 + 3.
-sqrt(3) + 11
Simplify sqrt(44)*-1 + -2*sqrt(44) - (sqrt(704) + -1)*6.
-54*sqrt(11) + 6
Simplify ((-5*(0 + sqrt(5)) + sqrt(5))*4)**2.
1280
Simplify ((sqrt(22) - -2*sqrt(352))/((2*sqrt(12))/sqrt(6)))**2.
891/4
Simplify 1 + sqrt(448) + 0.
1 + 8*sqrt(7)
Simplify sqrt(34)/(sqrt(2) - 6*sqrt(6)/sqrt(3)) + 1.
-sqrt(17)/5 + 1
Simplify sqrt(363) + -5 + sqrt(27)/(-2*sqrt(9)).
-5 + 21*sqrt(3)/2
Simplify (-2 + sqrt(539)*1*1)**2.
-28*sqrt(11) + 543
Simplify (sqrt(190)/(sqrt(10)*1) + sqrt(1216)*2)*-4.
-68*sqrt(19)
Simplify (sqrt(1300)*-2 + sqrt(1300))*1 + -3.
-10*sqrt(13) - 3
Simplify (sqrt(2) - (sqrt(2) - (sqrt(2) + 4 + sqrt(4)/sqrt(2) + sqrt(2))) - sqrt(2)) + sqrt(2) - (sqrt(242) + sqrt(242) + (sqrt(242) + 1)**2).
-239 - 41*sqrt(2)
Simplify 2*-6*(0 + sqrt(5))**2.
-60
Simplify -3*((sqrt(275)*1)**2 - -2*sqrt(11)*-6) + 1.
-824 + 36*sqrt(11)
Simplify ((sqrt(190) + (sqrt(190) - (3*sqrt(190) + sqrt(190))))*-2)/(sqrt(10) - (sqrt(80) + 3*sqrt(80))/sqrt(8)).
-4*sqrt(19)/3
Simplify sqrt(10)/sqrt(2)*-3 + -3.
-3*sqrt(5) - 3
Simplify -5*sqrt(32) + 0.
-20*sqrt(2)
Simplify 2 + sqrt(171) + 3 + sqrt(171).
5 + 6*sqrt(19)
Simplify 2*(-1*(1 + sqrt(847)))**2.
44*sqrt(7) + 1696
Simplify (-1*sqrt(18))**2 - (sqrt(288)*3)**2.
-2574
Simplify -2*(-1*sqrt(192))**2.
-384
Simplify sqrt(55)/(sqrt(5) + sqrt(50)/sqrt(10)) + sqrt(88)/sqrt(8)*-3.
-5*sqrt(11)/2
Simplify 1*(0 + sqrt(425))**2*5.
2125
Simplify -3 + (-2 + sqrt(567))**2 + (sqrt(7) - 2*(sqrt(7)*2 + sqrt(7) + sqrt(7) + sqrt(7) - sqrt(7))).
-43*sqrt(7) + 568
Simplify 3*(sqrt(17) - (sqrt(1377) + -2*sqrt(1377) - sqrt(17))**2)*2.
-10200 + 6*sqrt(17)
Simplify ((sqrt(200) - 1*sqrt(200))*-3)/sqrt(10)*-4.
0
Simplify sqrt(304)*2*3*5.
120*sqrt(19)
Simplify (sqrt(48)*-1*-1)**2.
48
Simplify ((sqrt(78) - 2*-2*sqrt(78)) + sqrt(78) + sqrt(78) + sqrt(78))/sqrt(6).
8*sqrt(13)
Simplify (-1 + sqrt(684) - sqrt(684))**2 - (sqrt(931) - sqrt(931)*2).
1 + 7*sqrt(19)
Simplify (5*sqrt(85)*2)/(sqrt(720) + (sqrt(720)*-2 - sqrt(720))).
-5*sqrt(17)/12
Simplify 4 + sqrt(245) + -2.
2 + 7*sqrt(5)
Simplify (-1*-4*sqrt(84))/(sqrt(48)*2).
sqrt(7)
Simplify ((1 + sqrt(468))*3)**2 + 3.
108*sqrt(13) + 4224
Simplify -2*((1*sqrt(143) + sqrt(143))*1)/((sqrt(132)*2)/sqrt(12)).
-2*sqrt(13)
Simplify (1 + 6*3*sqrt(1216))**2.
288*sqrt(19) + 393985
Simplify ((sqrt(99) - sqrt(99)*1)*-1 - sqrt(99))/sqrt(9).
-sqrt(11)
Simplify -5*sqrt(35)/sqrt(7) - (sqrt(5) + sqrt(30)/sqrt(6) + 0).
-7*sqrt(5)
Simplify (-2*sqrt(132)*-5)/((sqrt(192)/sqrt(4))/sqrt(4)) + -4.
-4 + 10*sqrt(11)
Simplify (sqrt(132)/(1*sqrt(972)) - 4*-5*(sqrt(11) - (-1 + sqrt(11))))**2.
40*sqrt(11)/9 + 32411/81
Simplify -1 + ((sqrt(288)*2 + sqrt(288))**2 - sqrt(2)*2*4) + -1.
-8*sqrt(2) + 2590
Simplify ((sqrt(108) + (sqrt(108) - (1*sqrt(108) - sqrt(108))) + sqrt(108))*5)**2.
24300
Simplify (sqrt(27) + 0)**2 - sqrt(6)/sqrt(50).
-sqrt(3)/5 + 27
Simplify (-4*sqrt(539)*-2 + sqrt(539)*-2*-5)**2.
174636
Simplify -4*(5*sqrt(475)*-3)**2.
-427500
Simplify (sqrt(15)/sqrt(3))**2 + -2 + 2.
5
Simplify 2 + (sqrt(3) - sqrt(300)*1).
-9*sqrt(3) + 2
Simplify ((sqrt(20) - 1*sqrt(20))*-4)/(2*sqrt(30)/sqrt(3)).
0
Simplify (-3 + sqrt(13))**2*6 + sqrt(39)/(sqrt(3) + sqrt(3) + sqrt(75) + sqrt(3)).
-287*sqrt(13)/8 + 132
Simplify (sqrt(832)*2)**2*-5.
-16640
Simplify sqrt(931)*-2 - (sqrt(19) + sqrt(57)/sqrt(3) + -4).
-16*sqrt(19) + 4
Simplify -2*(2*sqrt(119))/sqrt(7).
-4*sqrt(17)
Simplify ((2*sqrt(143)*6)/(sqrt(44)*-3))**2.
52
Simplify -5*(3 + sqrt(10)/(sqrt(5) + sqrt(45))).
-15 - 5*sqrt(2)/4
Simplify sqrt(28)*-2 + sqrt(140)/sqrt(5).
-2*sqrt(7)
Simplify (sqrt(121) - (sqrt(121) + sqrt(121)*1)*5 - sqrt(121))/(sqrt(396)*1)*4.
-20*sqrt(11)/3
Simplify (1*sqrt(1900) + 5)*-1.
-10*sqrt(19) - 5
Simplify (sqrt(2736) + (-1 + sqrt(2736))*-2 + sqrt(2736) - sqrt(2736) - (1 + sqrt(2736)*1))**2.
-48*sqrt(19) + 10945
Simplify 2*-2*sqrt(192)*1 + 2.
-32*sqrt(3) + 2
Simplify (4 + sqrt(2816)*1)**2.
128*sqrt(11) + 2832
Simplify -4 + 5*sqrt(52)/sqrt(4) + (1 + sqrt(52)/sqrt(4))**2 + sqrt(13) + 2.
12 + 8*sqrt(13)
Simplify (2*sqrt(153)*1)/sqrt(9).
2*sqrt(17)
Simplify 5 + (2*sqrt(60))/sqrt(12) + sqrt(5).
5 + 3*sqrt(5)
Simplify (-5 + (-5 + (sqrt(605) - (-1 + sqrt(605))))**2 + sqrt(605))*4.
44 + 44*sqrt(5)
Simplify 4*(sqrt(3) + -1) + sqrt(108) + 0.
-4 + 10*sqrt(3)
Simplify ((4 + sqrt(76))**2 + sqrt(19))*6.
102*sqrt(19) + 552
Simplify (2*sqrt(1029))/((sqrt(24) + sqrt(48)/sqrt(2))/sqrt(8)).
7*sqrt(7)
Simplify ((-1*sqrt(132)*-5 - sqrt(132) - sqrt(132))/(-2*sqrt(12)*4))**2.
99/64
Simplify (sqrt(36)/(sqrt(12) + sqrt(12)*-2*1) + -1)**2.
2*sqrt(3) + 4
Simplify sqrt(242) + 5 - (sqrt(6)/sqrt(3) + -4)**2.
-13 + 19*sqrt(2)
Simplify -6*(0 + sqrt(1584))*-6.
432*sqrt(11)
Simplify (sqrt(12)/(sqrt(196) - sqrt(196)*-1))**2.
3/196
Simplify sqrt(209)/((sqrt(132)*-3)/sqrt(12) + sqrt(11) - sqrt(11)).
-sqrt(19)/3
Simplify 4*(-1*(sqrt(931) + sqrt(931) + 0 + sqrt(931) + sqrt(931)))**2 + -5.
59579
Simplify (sqrt(180)/sqrt(36))/(sqrt(10) + sqrt(20)/sqrt(8)).
sqrt(2)/3
Simplify (-2*sqrt(833) + sqrt(833) + sqrt(833) - sqrt(833))**2 + 5.
838
Simplify ((sqrt(2) + (sqrt(120)/sqrt(5) - sqrt(24))/sqrt(12))*-5)**2.
50
Simplify sqrt(143)/(sqrt(11) + 1*(sqrt(55)/sqrt(5) + sqrt(11))).
sqrt(13)/3
Simplify -4 + ((sqrt(63) + 4*sqrt(9072) + sqrt(9072) - sqrt(63))/sqrt(9))**2.
25196
Simplify sqrt(153)/(sqrt(27)/sqrt(3)) + 1 + sqrt(425).
1 + 6*sqrt(17)
Simplify ((sqrt(8) + (sqrt(32) + sqrt(8) - sqrt(8)))/sqrt(4) - -2*sqrt(2)*-2)**2.
2
Simplify (-2*sqrt(5) + -5)**2*3.
60*sqrt(5) + 135
Simplify -2 + (5 + sqrt(45)/(sqrt(18)/sqrt(2)))**2.
10*sqrt(5) + 28
Simplify ((-5*sqrt(110)*2 + sqrt(110))/(sqrt( | {
"pile_set_name": "DM Mathematics"
} |
**(-2/7)))/w)/w))**(2/13)/(w/(w*w/(w/(w*w*w/w**(2/3)*w*w))*w))**(6/23) assuming w is positive.
w**(4292/2093)
Simplify t*t*t/t**(-38)*t/(t/(t**(-1/10)*t)*t*t) assuming t is positive.
t**(399/10)
Simplify (i**(2/33)/(i/(i/i**(-1/3))))/(i**(-1/2))**(-13) assuming i is positive.
i**(-403/66)
Simplify (l/(l*l**(-5)*l*l))**(-44) assuming l is positive.
l**(-132)
Simplify t*t*t/(((t*t**(-3/5)*t)/t*t)/t)*t**32 assuming t is positive.
t**(173/5)
Simplify ((s*s**(-2))**(2/5))**(4/33) assuming s is positive.
s**(-8/165)
Simplify ((p**(-3)*p)/p**(2/17))**(30/11) assuming p is positive.
p**(-1080/187)
Simplify n**(-3/5)*n**7*(n**(-1/2))**10 assuming n is positive.
n**(7/5)
Simplify (a**(-1))**(2/195)*(a/(a/a**1*a))/a*(a**(-2/13)*a)/a assuming a is positive.
a**(-227/195)
Simplify (j/(j*j/j**(-1/5)*j*j*j))**(-5) assuming j is positive.
j**21
Simplify (u*u**(1/4))**16*(u**(-6)/u*u)/u**(-2/13) assuming u is positive.
u**(184/13)
Simplify (s*s**14)/(s/(s/((s**34*s)/s))*s) assuming s is positive.
s**(-20)
Simplify (d**0)**(-11/6)*(d**(1/2))**(2/93) assuming d is positive.
d**(1/93)
Simplify (z/((((z**6/z)/z)/z)/z))/(z/(z**5*z))*z**4/(z**2/z*z) assuming z is positive.
z**6
Simplify (d**(1/10)/d)**(2/49) assuming d is positive.
d**(-9/245)
Simplify ((u/u**(9/5)*u)/u)/u**(-17) assuming u is positive.
u**(81/5)
Simplify (n**(1/4)*n**(-1/3))/((n/(n*n*n**(-2/7)*n))/((n*(n**(1/3)*n)/n)/n)) assuming n is positive.
n**(55/28)
Simplify o**8*o**(-1/3)*(o**(-2/7))**(-13) assuming o is positive.
o**(239/21)
Simplify ((x*(x*x**12)/x)/x**(-2/17))**(-42) assuming x is positive.
x**(-9366/17)
Simplify (r*r*r**(-2/5))**(-30)*(r**(3/7)*r*r*r)/r**(-3/8) assuming r is positive.
r**(-2475/56)
Simplify w/w**(2/7)*w*w**(4/13)*(w*w**(3/5)*w)/(w/(w/(w/w**7))) assuming w is positive.
w**(4833/455)
Simplify a/(a*a**(-6/11))*a/(a*a**(-13)/a)*a assuming a is positive.
a**(171/11)
Simplify (z*z**(-8/7)/z)/(z**(-2/59)/z*z) assuming z is positive.
z**(-458/413)
Simplify (t**(1/2))**(17/5)/((t*t**(-1/5))/(t**(2/3)*t)) assuming t is positive.
t**(77/30)
Simplify (q**(-4/9)/(q/(q/q**4)*q))**25 assuming q is positive.
q**(-1225/9)
Simplify s*(s/(s**(-3/5)*s))/s*s**(-1/21) assuming s is positive.
s**(58/105)
Simplify ((n/(n**(14/3)*n*n))/n)/(n/(n/(n/((n/((n/((n*(n/(n**(-18/5)*n*n))/n*n)/n*n))/n))/n*n)))) assuming n is positive.
n**(-46/15)
Simplify g**(-3/2)*g/(g/g**(1/4))*g**2*g*g/(g*g**(-6)*g) assuming g is positive.
g**(27/4)
Simplify (w**(-3/4)*w*w**(2/17)*w)/(w**(6/11)/w*w**(-6)) assuming w is positive.
w**(5851/748)
Simplify (q**(-13/6))**(-46) assuming q is positive.
q**(299/3)
Simplify ((v*(v/v**(-8))/v*v)**(-12))**(3/13) assuming v is positive.
v**(-360/13)
Simplify ((((u**(-3/5)/u)/u)/u)/u)/(u*u**(-9))*u**(-2/11)*u**(2/19)/u*u assuming u is positive.
u**(3473/1045)
Simplify ((n**4)**(-16/5))**(-2/29) assuming n is positive.
n**(128/145)
Simplify ((n*n*((n/((n*n**(-3))/n*n*n*n))/n)/n*n)**38)**8 assuming n is positive.
n**608
Simplify (m**(2/19)/m*m)**(1/10) assuming m is positive.
m**(1/95)
Simplify ((v/((v**11/v)/v))/(v*v*v**(8/3)))**(-50) assuming v is positive.
v**(1900/3)
Simplify r*r**(-2/5)*r**(-20)*r assuming r is positive.
r**(-92/5)
Simplify ((m/m**(-30)*m)/m)/m**(-35) assuming m is positive.
m**66
Simplify (v*v**(-1)*v*v*(v*v**(-1/11))/v)**(-45) assuming v is positive.
v**(-945/11)
Simplify (q**(-1/3)/(q*q**(-4)))/(q*q**(3/5)*q*q*q**(-6)) assuming q is positive.
q**(76/15)
Simplify r**8*(r/(r**(-21)/r)*r)/r assuming r is positive.
r**31
Simplify y**3/y*y*y**(1/11)*y**4/(y/y**(3/10)) assuming y is positive.
y**(703/110)
Simplify (l**3*l)**(2/149) assuming l is positive.
l**(8/149)
Simplify (i**(-3/2)*i/((i/i**(9/2))/i*i))/(((i/(i/((i*i/i**(-3))/i)))/i)/i**(-1/6)) assuming i is positive.
i**(-1/6)
Simplify ((i*i*i**(-6))/i*i)/i*i*(i**13/i*i)/i assuming i is positive.
i**8
Simplify (b**1)**(-49)*(b**(1/4))**(-1/14) assuming b is positive.
b**(-2745/56)
Simplify ((d**16/d)/d)/(d/(d/(d**(-1/4)*d))) assuming d is positive.
d**(53/4)
Simplify ((o*(o*o/o**(-11))/o)/(o*o**0*o))/((o*o*o**9/o)/o**4) assuming o is positive.
o**5
Simplify k/(k/(k**(4/19)/k))*k*k*k**(-13/5) assuming k is positive.
k**(-132/95)
Simplify r**(-25)/(r*r**(-17)) assuming r is positive.
r**(-9)
Simplify ((j*j**13)/j)/(j*j*j*j*j**(15/4)/j*j*j) assuming j is positive.
j**(17/4)
Simplify (q/(q**18*q)*q)**(-1/4) assuming q is positive.
q**(17/4)
Simplify (g*g**2)/(g**(3/10)*g) assuming g is positive.
g**(17/10)
Simplify ((z*z*(z*z**(-3)*z*z)/z*z*z)/z*z*z*z*z**(5/6)/z*z)**(1/7) assuming z is positive.
z**(5/6)
Simplify ((v/(v*v**(1/5)))/((v**(-2)*v)/v))/(v**(-1))**(-8) assuming v is positive.
v**(-31/5)
Simplify (((b*b*b/(b/(b*(b**(-6)/b)/b))*b*b)/b)/(b*b**(1/10)))**25 assuming b is positive.
b**(-255/2)
Simplify l**(2/29)*l/(l*l**(2/65)) assuming l is positive.
l**(72/1885)
Simplify ((d*d*d**(-6)*d*d)/(d**(-2)/d*d))/(d**(2/5))**(-37) assuming d is positive.
d**(74/5)
Simplify ((q*(q/q**(-4/9))/q*q)/q)**(-1/8) assuming q is positive.
q**(-13/72)
Simplify (c**(-2/7)/c**(-1/2))/(c**(-2)*c*c**(1/4)) assuming c is positive.
c**(27/28)
Simplify v**16*v/v**(-10/13) assuming v is positive.
v**(231/13)
Simplify (z*z*z/z**(6/11)*z*z*(z*z**(-4/9))/z)**(-47) assuming z is positive.
z**(-18659/99)
Simplify (p**(-2))**(-6)*(p**(7/5)*p)/(p**(-1)*p) assuming p is positive.
p**(72/5)
Simplify i**(-5)*i*((i*i*i*i*i**9)/i)/i*(i/i**6)/i**(3/4) assuming i is positive.
i**(5/4)
Simplify m/((m/(m**(-1/3)/m))/m)*m**6 assuming m is positive.
m**(17/3)
Simplify (k**10/k)/(k**13*k) assuming k is positive.
k**(-5)
Simplify (i**(3/7)/i*i**(3/4))/(i**(-1/5)*i**6) assuming i is positive.
i**(-787/140)
Simplify (w**(-1/5)/w)**(1/13) assuming w is positive.
w**(-6/65)
Simplify (a**(1/4))**(-36)/((a*a/(a*a/((a/(a*a**(-4/3)*a*a))/a)))/a*a/(a/(a*a*a**(-2)))) assuming a is positive.
a**(-19/3)
Simplify (m*m**(2/47)*m)**(-3/10) assuming m is positive.
m**(-144/235)
Simplify (y**(2/7))**(1/5)/((y*y**(-7)*y*y)/(y*y**(-4/7))) assuming y is positive.
y**(157/35)
Simplify (g**(-21)/g*g)/g**8 assuming g is positive.
g**(-29)
Simplify ((n/(n**4*n))**(20/7))**(-20) assuming n is positive.
n**(1600/7)
Simplify n/n**(-27)*n**19 assuming n is positive.
n**47
Simplify (b*b**19*b)/(b*b*b**14/b*b) assuming b is positive.
b**5
Simplify i**(-20)/(i**(-19)*i) assuming i is positive.
i**(-2)
Simplify i**12*i**(11/2) assuming i is positive.
i**(35/2)
Simplify (u**(-10)*u)/u*u*u/(u/u**(-4)) assuming u is positive.
u**(-13)
Simplify (j**(2/7))**24/((j/(j**(2/7)*j))/j)**22 assuming j is positive.
j**(246/7)
Simplify (d*d**(-2)/d)**(-2/11) assuming d is positive.
d**(4/11)
Simplify a**(-13)*a**(1/31) assuming a is positive.
a**(-402/31)
Simplify ((s/(s*s**(-1/2)))/(s*s*s**(-2/31)*s*s))/(s**(-1/5)*s*(s*s**(-2/21)/s)/s) assuming s is positive.
s**(-20443/6510)
Simplify ((y*(y*y**10*y*y)/y*y)/(y**(1/17)*y))/((y*y**(2/3))/y)**(-13/5) assuming y is positive.
y**(3742/255)
Simplify (n/(n/(n**2*n)))**(-4/7)/(((n*n**(-5))/n)/n**9) assuming n is positive.
n**(86/7)
Simplify (z*z**(-3/2))/z**(4/17) assuming z is positive.
z**(-25/34)
Simplify ((c**0)**2)**32 assuming c is positive.
1
Simplify ((l/(l**(2/7)/l*l))/l**(-5))/(l**(2/3))**(-9/2) assuming l is positive.
l**(61/7)
Simplify (v/((v*v**2)/v)*v**(-5))/(v/(v**(2/11)/v)*v**0/v*v) assuming v is positive.
v**(-86/11)
Simplify ((c/((c*c/(c/c**1))/c))/c)**(-2/19)/(c/(c/(c/c**(1/3)))*c)**(-20) assuming c is positive.
c**(1906/57)
Simplify d**(-3/2)/(d**(-2/79)/d) assuming d is positive.
d**(-75/158)
Simplify x/(x**(-12/7)/x*x)*x**(-8) assuming x is positive.
x**(-37/7)
Simplify ((b*b/(b/(b**2/b))*b*b)/((b/((b/(b*b/(b**(-2)*b)))/b))/b))/((b*b/b**7)/(b/b**6)) assuming b is positive.
b
Simplify (b/(b/(b**(-7)/b))*b*((b**0/b*b)/b)/b)/((b*b**(-2)*b)/(b/b**(-2/7))) assuming b is positive.
b**(-54/7)
Simplify (r**1*r/r**(2/17))**(1/2) assuming r is positive.
r**(16/17)
Simplify y**(-7/2)/y**(-1/65) assuming y is positive.
y**(-453/130)
Simplify ((o**(-37)/o)/o)**41 assuming o is positive.
o**(-1599)
Simplify (((y**(-6/7)/y)/y)/(y/(y/y**9*y)*y))**35 assuming y is positive.
y**(-415)
Simplify ((n*n**1*n)**(-32))**47 assuming n is positive.
n**(-4512)
Simplify ((p/(p**12/p)*p)/p**(-9))**10 assuming p is positive.
1
Simplify (x**(-1)/(((x**(-3)*x | {
"pile_set_name": "DM Mathematics"
} |
Does 14 divide x(10)?
False
Suppose 123 = 5*q + 3*k, -5*q + 69 = -2*q + 3*k. Suppose p - q + 7 = 0. Is p a multiple of 5?
True
Is 3 a factor of 9 - 5/(15/(-9))?
True
Suppose -53 = -2*a + 3*m, -45 + 11 = -a + 4*m. Is 11 a factor of a?
True
Let h = -9 - -14. Suppose -2*d + 4 + 74 = 4*l, h*d = 15. Is l a multiple of 5?
False
Is 10 a factor of -5*(152/5)/(-4)?
False
Let j = -41 - -9. Let i = -9 - j. Does 12 divide i?
False
Let p = 24 + 10. Does 17 divide p?
True
Suppose 4*j - 304 = -5*s, -4*j + 2*j + 150 = 3*s. Is 32 a factor of j?
False
Suppose -o - 47 = 3*m, 3*o + 0*o = 4*m + 41. Let n = 20 + m. Is 14/4 + 3/n a multiple of 2?
True
Let s(p) = p**3 - 5*p**2 + 4*p - 1. Let l be s(4). Let n be (-1 + l)/(1/2). Is 2 a factor of 2 + (-1 - n*1)?
False
Suppose -3*w + 16 = -2. Let k(f) = -2*f**2 - 20*f - 20. Let m be k(-8). Suppose -w = -3*r + m. Is 6 a factor of r?
True
Let i(q) = -q**2 + q + 12. Let j be i(6). Let o = -3 - j. Is 15 a factor of o?
True
Is 2/(-4) - 495/(-18) a multiple of 3?
True
Let g(s) = s**2 + 4*s - 6. Is 26 a factor of g(8)?
False
Is 11 a factor of ((-83)/4)/(10/(-80))?
False
Suppose 0 = 3*h - 9, 11*m - 7*m + 3*h = 269. Is m a multiple of 39?
False
Let f be (-38)/8 - 2/8. Let w be ((-2)/f)/((-1)/(-25)). Suppose d = 5, 0 = -3*j - 3*d - w + 109. Is j a multiple of 19?
False
Let m be 145/45 + 4/(-18). Suppose 100 = m*g - 65. Does 8 divide g?
False
Suppose 4*j - 191 - 132 = -5*f, -j + 97 = -2*f. Is 19 a factor of j?
False
Is 8 a factor of 497/9 + (-8)/36?
False
Let m(n) = n + 4. Let l be m(-4). Suppose 4*d + 3*u - 410 = l, d = -0*d - u + 102. Is 27 a factor of d?
False
Let o be (-70)/(-3)*6/(-5). Let v = o + 48. Does 10 divide v?
True
Suppose -4*b = b - 40. Suppose 4*h - 107 = 3*g - b*g, 5*h = -3*g + 137. Suppose -2*z + 2 = -h. Does 7 divide z?
False
Suppose 3*w = -2*k, -w + 2*k + 10 = w. Suppose 94 = w*f - 12. Does 8 divide f?
False
Suppose -33 = l - 5*l + 3*q, -3*q = 5*l - 48. Suppose 28 = l*n - 5*n. Is n a multiple of 5?
False
Let v(s) = s**2 - 7. Let m be (-1 + 3)*(1 + 5). Suppose j + 6 = -3*g, -5*j + m = 2*g - 10. Is 11 a factor of v(j)?
False
Suppose -3*v + 5*h + 4 = -2*v, -h + 5 = 0. Let j be -2 + v + (-6)/3. Suppose -o + 2*b - 178 = -5*o, 5*b + j = 0. Is o a multiple of 18?
False
Let o = 122 - 195. Let w = -33 - o. Is 22 a factor of w?
False
Let d(s) = s + 7. Is d(8) a multiple of 5?
True
Let j(o) = -o**3 - 7*o**2 + 9*o + 12. Let c be j(-8). Suppose 4*r + c = 16. Suppose r*s + 16 = 4*s. Is 16 a factor of s?
True
Let z be (-7)/(21/(-6))*-31. Is 14 a factor of -1 - z*(-1)/(-2)?
False
Let p be 5 - 4/(-6)*-3. Let n(x) = x**2 - x - 2. Let i be n(p). Suppose 0 + 8 = i*c. Is c even?
True
Let r = -578 - -822. Does 48 divide r?
False
Is -1 + 99 + (7 + -9 - -3) a multiple of 33?
True
Let d(r) = r**3 + 3*r**2 + 3*r. Let s be d(-2). Let m(i) = -7*i - 1. Is 9 a factor of m(s)?
False
Suppose 0 = -2*p - 5*b - 14 - 1, b = 3*p - 3. Suppose -l + 3 = -p. Suppose -2*a = -a - l. Is 3 a factor of a?
True
Let r(y) = -5 - 2*y + 3 - 6. Suppose 2*g = -3 - 17. Does 6 divide r(g)?
True
Let o(v) be the first derivative of -3*v**2/2 - v - 3. Let q be 3/6*-2 + 0. Does 2 divide o(q)?
True
Is ((-483)/(-14))/(3/4) a multiple of 23?
True
Let v(z) = -2*z**2 - 4*z + 3. Let y(t) = -4*t**2 - 7*t + 5. Let k(h) = 11*v(h) - 6*y(h). Let o be k(-4). Let r = o - 21. Is 11 a factor of r?
True
Let h = -2 - -3. Let i(v) = 2 - 1 + 6*v**2 - 2*v**2 - v. Does 4 divide i(h)?
True
Suppose -2*a = n - 7, 5*a - 4*n - 1 + 3 = 0. Suppose 0*t = -o + a*t - 36, -3*o - 3*t = 153. Let x = -28 - o. Is x a multiple of 9?
True
Suppose 0 = -p - 3*k + 137 + 48, 5*p = -5*k + 915. Is p a multiple of 13?
True
Does 20 divide -122*((-7)/10 + 14/70)?
False
Let g be 5*3*3/9. Suppose 0 = -2*n + g*r + 51, -4*r = -3*n - 0*n + 87. Is n a multiple of 12?
False
Let c = 24 + -4. Let z be (-93)/(-9) + (-2)/6. Suppose 0 = b + n - 0*n - z, 0 = -4*n + c. Is b a multiple of 5?
True
Suppose 2*p - 4 = 0, z - 615 = -4*z + 5*p. Is z a multiple of 25?
True
Let p = -6 + 8. Let a be (-24)/20*15/(-6). Is a/((-9)/(-24)) + p a multiple of 5?
True
Let n(x) = x + 6. Suppose -2*d + 3*d = 0. Let q be n(d). Let h = q + -4. Is 2 a factor of h?
True
Let x be (-2)/(-2 - 7/(-3)). Let s(l) = -7 - 5*l + 4 - 3. Is s(x) a multiple of 12?
True
Suppose -5*t + 10 = 2*v, 3*v = -3*t - v + 20. Suppose 12 = -u - t. Let r = u - -23. Is 7 a factor of r?
False
Let t = -44 - -102. Is 29 a factor of t?
True
Let u be (-26)/22 + 4/22. Does 15 divide -6*((-5)/(-1))/u?
True
Let a be 12/(-4)*(-8)/3. Let y = a - 3. Suppose -3*i - 96 = -y*i. Is 16 a factor of i?
True
Suppose 5*j - 106 = 94. Suppose 0 = 4*q - j + 16. Is q a multiple of 6?
True
Let y(z) = z**2 + 12*z + 11. Is 7 a factor of y(-14)?
False
Is 5 a factor of 137/5 + (-2)/5?
False
Let l(u) = -u - 1. Let c be l(-2). Let g be (6/15)/(c/10). Suppose -g*p + 144 = 5*y - 47, 4*y - 156 = -4*p. Does 13 divide y?
False
Suppose 3*f - 5 = -5*s, 5*f + 4*s = 21 + 9. Is f a multiple of 3?
False
Suppose -k = -5 + 2. Suppose 0 = -k*j + 2*j + 54. Is 15 a factor of j?
False
Let g(i) = -i**2 - 1. Let x(v) = v**3 - 16*v**2. Let n(r) = -5*g(r) + x(r). Let o be n(11). Suppose o*l - 137 = -42. Is l a multiple of 11?
False
Let k(i) = -i**3 + 7*i**2 + 7*i + 5. Does 7 divide k(7)?
False
Let a(z) be the third derivative of -z**6/120 + 3*z**5/20 - 7*z**4/24 + 7*z**3/6 - 4*z**2. Is 15 a factor of a(8)?
True
Suppose 14*w - 74 = 178. Does 18 divide w?
True
Let a(h) = -h**2 + 6*h - 4. Let b be a(5). Is 104/(-2)*b/(-2) a multiple of 11?
False
Suppose -p + 1 = -7. Does 2 divide p?
True
Suppose 129 = -3*u + 1314. Suppose -4*k + u = k. Suppose -5*h = w - 196, 5*h + 5*w = 259 - k. Does 15 divide h?
False
Let g = 1 + 2. Suppose -4*m = -4, -q - 2*q = -g*m - 21. Does 3 divide q?
False
Suppose h + 6 = w - 5, -4*h + 84 = 4*w. Suppose -42 = -7*c - 0*c. Let v = w - c. Is 10 a factor of v?
True
Let z be 0 - (3 - (2 + 1)). Suppose z*i = -i + 6. Does 6 divide i?
True
Suppose 2*k = -2*h + 16, 2*h = h + 3*k - 12. Is h/(-5) + (-1515)/(-25) a multiple of 20?
True
Is ((-24)/10)/(54/(-405)) a multiple of 3?
True
Suppose 2*i + 3*i = 135. Is 9 a factor of i?
True
Suppose 3*j = j - 12. Is (j/(-8))/((-2)/(-112)) a multiple of 17?
False
Let f(w) = -2*w + 0*w + 7 + 5*w - w. Is f(7) a multiple of 21?
True
Suppose -4*f + 135 = 31. Does 13 divide f?
True
Let u = 10 - 7. Suppose -c = u*c - 120. Is 16 a factor of c?
False
Suppose 2*d - 211 = 3*w, 0 = 5*d + 6*w - 2*w - 470. Is 14 a factor of d?
True
Suppose 0 = 3*w - 3*n - 24, -1 = -2*w - n - 2*n. Suppose 0 = -2*m + w*m - 6. Suppose -m*q + 48 = h, q - 2*h - 102 = -4*q. Is q a multiple of 8?
False
Let j = 9 - 6. Does 9 divide (1/j)/((-2)/(-66))?
False
Let u be (34 - 3) + 2 + -5. Let z = u + -19. Suppose z = 5*r - 4*s - 53, -4*r + 3*s = -50. Is r a multiple of 6?
False
Does 9 divide -1 - 3/((45/84)/(-5))?
True
Let a = -29 - -11. Let p = a - -33. Is 13 a factor of p?
False
Let d(m) be the third derivative of m**6/120 + 7*m**5/60 - 13*m**4/24 - 5*m**3/3 - 9*m**2. Does 6 divide d(-8)?
True
Let u(g) = -2*g**2 + 47*g. Is 29 a factor of u(17)?
False
Let x(z) be the first derivative of -z**4/24 + 2*z**3 + z**2/2 - 3. Let p(j) be the second derivative of x(j). Is p(8) a multiple of 4?
True
Suppose 96 = 2*s - s. Is s a multiple of 32?
True
Let y = 11 - 8. Suppose -15 = y*x - 87. Is x a multiple of 24?
True
Let i = -80 + 50. Let n = 1 - 15. Let a = n - i. Is 16 a factor of a?
True
Suppose 2*g - 10 = 30. Suppose a + 3*o - 8*o = -g, -5*a + 45 = 4*o. Is 4 a factor of a?
False
Suppose 7*w = 8*w - 113. Does 15 divide w?
False
Suppose -2*f + 14 = -5*d + f, 0 = -d + f - 2. Let g(b) = -b**3 - 7*b**2 - 5*b + 1. Let n be g(d). Let q = n + 45. Does 7 divide q?
False
Let b(f) = f**2 + f. Let p(g) = -8*g**2 + 5*g + 12. Let t(s) = b(s) - p(s). Let c(l) = -4*l**2 + 2*l + 6. Let y(n) = -7*c(n) - 3*t(n). Is 18 a factor of y(6)?
True
Let d(s) = s + 7. Let q be d(-4). Suppose 0 = 2*i + 4*l - 2, -18 = i - q*l - 44. Is i a multiple of 5?
False
Suppose -2*s + 8*s = 1230. Does 26 divide s?
False
Suppose 42 = 3*t - 2*t. Suppose -3*a + 3 + t = 0. Let l = a - 10. Does 4 divide l?
False
Let z(p) = -1 + 6 - 12*p - 2 - 6. Is 12 a factor of z(-3)?
False
Let c(r) = 2*r**2 + r - 3. Suppose 11 = -5*b + 1. Let s = 5 + b. Is c(s) a multiple of 12?
Fals | {
"pile_set_name": "DM Mathematics"
} |
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