text stringlengths 270 8.19k | meta dict |
|---|---|
-3?
True
Suppose 0 = 46*g - 28748 + 6530. Does 23 divide g?
True
Is (7 + 35/(-3))/((-2)/24) a multiple of 14?
True
Let g = 78 + -43. Let q be (-2)/7 - (-920)/g. Does 13 divide (q/5)/(2/10)?
True
Suppose -5*h + 19461 - 881 = 0. Does 84 divide h?
False
Suppose -4*t + 245 = 5*q, 2*q + 4*t - 115 = -t. Is ((-4)/(-3))/(10/q) even?
True
Suppose 2*x - 486 = x. Let b = -304 + x. Is 16 a factor of b?
False
Let j = -43 + 410. Is j a multiple of 7?
False
Let s(t) = 2*t**3 + t**2 + t + 2. Suppose 5*x - 11 = -b, 3*x = -0*x - b + 7. Let w be s(x). Suppose 3*v - 29 = -h, -3*v + v + w = -4*h. Does 5 divide v?
True
Suppose 0 = -x + 5, 2*v + 2*x - 14 = 0. Suppose 0*o + 13 = 2*p - o, v*p = -4*o + 18. Suppose 24 = p*n - 4*n. Does 8 divide n?
True
Does 43 divide 71*14 + (-7 - (0 + -2))?
True
Suppose 1095 = 10*r - 345. Is 12 a factor of r/10*(-150)/(-20)?
True
Suppose q - 515 = -4*q. Let n = q + -50. Is 4 a factor of n?
False
Let q(f) = f**2 - 16*f - 27. Let s be q(18). Suppose s*p + 275 = 14*p. Is 10 a factor of p?
False
Suppose -33*u + 66*u = 31779. Is 62 a factor of u?
False
Let v = 51 - 45. Let r(y) = 11*y - 17. Is 17 a factor of r(v)?
False
Suppose q - 20 = -h, 4*q + h + 0*h - 65 = 0. Suppose -2*f + 33 = 5*l, -f - 5*l + 4*l = -q. Suppose f - 2 = 2*m. Is 6 a factor of m?
True
Let o = 1111 - 136. Does 13 divide o?
True
Suppose -u + 0 + 4 = 0. Suppose -u*h + 0*h + 12 = 0. Suppose -3*b - 246 = -5*v - 5*b, -h*b = 6. Is 30 a factor of v?
False
Let o(c) be the first derivative of c**2/2 + 9*c - 6. Does 4 divide o(3)?
True
Let b(d) = 10*d**2 + 4*d + 2. Let x be b(-2). Suppose x*m - 60 = 30*m. Does 5 divide m?
True
Let x = -643 + 1657. Is 13 a factor of x?
True
Let q(v) = -v**3 - 10*v**2 + 4*v + 10. Let l be q(-10). Is 35 a factor of ((-28)/(-8))/((-3)/l)?
True
Suppose -3*v - v = 16. Let c(k) = -k**3 - 3*k**2 + 5*k + 4. Let f be c(v). Suppose f = 4*r - 20, 5*n + 2*r - 273 + 83 = 0. Is 16 a factor of n?
False
Suppose 6 = -n + 4*z, z + 4 = -3*n + 6*z. Suppose -6*g - n = -7*g. Suppose -g*d = 6*p - p - 93, -9 = 3*p. Is 18 a factor of d?
True
Suppose -6*p + 149 = -643. Is 33 a factor of p?
True
Let g(s) = -3*s + 81. Is g(-25) a multiple of 26?
True
Suppose -4*g - g + 12795 = -k, 3*k + 10247 = 4*g. Is g a multiple of 71?
False
Let f be (13 - 7)/(3/(-4)). Let p be (47 + f/4)*-3. Is ((-15)/9)/(3/p) a multiple of 15?
True
Let p = 9 - 4. Suppose 125 = 2*i - 0*f + 3*f, 0 = -3*i + f + 171. Let v = i - p. Does 19 divide v?
False
Let n be (-3)/3 + (-1 - -233) + 1. Suppose -18 - n = -5*b. Does 5 divide b?
True
Let r = -43 - -42. Is 10 a factor of 315/30 + r/2?
True
Let z(r) = -r - 4. Let t be z(11). Let x = -9 - t. Is 3 a factor of x?
True
Let l(c) = 5*c**2 - 22*c - 167. Does 10 divide l(-18)?
False
Suppose -2*i + 19 = 3. Does 5 divide ((-60)/i*-1)/(1/12)?
True
Suppose 0 = t + t - 10. Suppose 0*h - 230 = -4*n - 2*h, 3*h - 285 = -t*n. Does 28 divide n?
False
Is 12 a factor of 2*4/12*51?
False
Let q(r) = 14*r**2 + r. Let c be q(1). Does 53 divide -4 + 50/c - (-322)/6?
True
Let f be 2556/21 - (-8)/28. Suppose 5*a + 4*y - 115 = -y, -5*a + 2*y + f = 0. Is a a multiple of 8?
True
Let h(g) = 6*g**2 - 3*g + 2. Let d be h(1). Suppose 32 = d*s - 618. Does 26 divide s?
True
Let h(l) = 5*l**2 - 11*l + 51. Is h(5) a multiple of 11?
True
Let f(m) = 8*m + 1. Let o(a) = -9*a - 1. Let p(x) = -9*x - 1. Let z(j) = 6*o(j) - 7*p(j). Let q(b) = 6*f(b) - 4*z(b). Is 24 a factor of q(2)?
False
Let b(j) = -12*j**3 + 10*j**2 + 4*j - 37. Is 129 a factor of b(-7)?
False
Let a(c) = 4*c**2 + 48*c + 42. Is a(-21) a multiple of 110?
False
Suppose -4*x + 18 - 2 = 0. Let l(a) = a**3 - 2*a**2 - 7. Let g be l(3). Suppose 4*w - 80 = g*b - x*b, -5*w = 4*b - 103. Is 19 a factor of w?
True
Let h(m) = 2*m**2 + 4. Suppose -2*x + 3*w + 1 = -4*x, 4*x = -w + 13. Let c be h(x). Let p = 56 - c. Is p a multiple of 20?
True
Let n be -5 - (-2 + 0) - -5. Let r(p) = 5 + 0*p**n + p**2 + 3*p + 2*p. Does 9 divide r(6)?
False
Is 6 a factor of 14/(-1 + 5 + (-92)/24)?
True
Let r(d) be the third derivative of d**6/120 - 2*d**5/15 - d**4/6 - 5*d**3/2 + 9*d**2. Is 15 a factor of r(9)?
True
Let x = -140 + 283. Does 24 divide x?
False
Let t be 3 + 1 + -2 + -142. Suppose -8*w - 10 = -42. Is (6/w)/((-15)/t) a multiple of 3?
False
Let z(n) = -n**2 - 88*n + 137. Does 28 divide z(-43)?
True
Let j(p) = -p**2 + 5*p + 4. Let x be j(5). Suppose -x*y + 2*h + 0*h = -46, -4*y = -h - 45. Let t = 59 - y. Is 24 a factor of t?
True
Suppose -3 + 1 = -o. Let v be (-2)/9 - o/(-9). Is 14 a factor of 4*21/3 - v?
True
Let z(c) = c**3 - 4*c**2 - 10*c + 10. Let l be z(6). Let s = l + -14. Is (1 - 3)/(s/(-36)) a multiple of 3?
True
Let c(z) = 3*z**2 + z**2 - 1 + 10*z**3 - 2*z**2 - 4*z**3. Suppose -2 - 1 = -3*w. Is 4 a factor of c(w)?
False
Let c(i) = 8 + 4*i - 2*i**2 - 2*i**2 + 2*i**2 + 6*i**2. Is c(-2) a multiple of 4?
True
Suppose -7 - 15 = 2*z + 4*f, z = 5*f - 39. Let b = z + 24. Suppose b*l = -4*v + 341, v = 3*v - 3*l - 143. Does 20 divide v?
False
Let k be ((-8)/(-1))/(7 + (-5 - 0)). Suppose 5*n = 2*u - 39 - 4, 20 = -k*n. Is 9 a factor of u?
True
Let c(k) = k**3 + 5*k**2 - 7*k + 2. Let w be c(-6). Suppose -3*h - 6 = -0*h - 4*m, -2*m = h - w. Suppose 44 = g + h*y, 23 + 75 = 2*g - y. Is 16 a factor of g?
True
Let j(p) = -2*p - 2. Let z(s) = -9*s**2 - 7*s + 4*s**3 + s**2 + 3*s**2 - 3*s**3. Let l be z(6). Is 5 a factor of j(l)?
True
Suppose -3*b = -2*r - 681, -b = 3*r - 118 - 109. Is b even?
False
Let z = 302 + -202. Let c = -206 + z. Let i = c + 148. Does 12 divide i?
False
Let l be 19*-2 - (-2 + 1). Let r = 151 - 96. Let b = r + l. Does 6 divide b?
True
Let g be 6/(-27) - 7/9. Let o = 4 - g. Suppose 4*z - 13 = -t + 5, -3*t + 33 = o*z. Is 6 a factor of t?
True
Suppose 5*n + 21 + 194 = 5*o, 5*n - 114 = -2*o. Does 6 divide o?
False
Is 18 a factor of 9 - -2 - 9 - -89?
False
Let n = -2 - -7. Suppose n*o = 3*o + 4. Suppose -3*u - 26 = -2*i + o*u, 2*i = 3*u + 30. Does 9 divide i?
True
Let m be 1914/30 + 2/10. Let a = m + -43. Is a a multiple of 7?
True
Is (164/20 + -4)*4*15 a multiple of 3?
True
Let v(q) be the second derivative of 70*q**3/3 + 10*q. Let y be v(3). Suppose -218 = -2*d + 3*w, 2*d - 2*w = 6*d - y. Is d a multiple of 24?
False
Let a(m) = -20*m**3 - 3*m**2 - 2*m. Let t(b) = 2*b**2 + 3*b + 1. Let p be t(-2). Suppose -l - l + w + 3 = 0, -w = -p*l + 2. Does 4 divide a(l)?
False
Suppose 4*n + 4780 = -4*s + 26108, 0 = -3*s + 2*n + 15986. Does 70 divide s?
False
Suppose -3*a + 14 - 5 = 0. Suppose 7*m = a*m + 60. Is (0 + 13)/(5/m) a multiple of 25?
False
Let v(k) = k. Let q(z) = -2*z + 1. Let c(g) = 2*q(g) + 3*v(g). Let n be c(0). Suppose 2*y - 24 = -4*w, 49 + 11 = 4*y + n*w. Does 4 divide y?
True
Let o(v) = -35*v + 1. Let f be o(-1). Let s = -50 + f. Let j = 24 + s. Is 3 a factor of j?
False
Let u be -1*(-2)/3*-3. Let o(t) be the third derivative of -t**6/120 + t**4/6 + t**3/2 + 4*t**2. Is 2 a factor of o(u)?
False
Let a(d) = 23*d**2 - d - 1. Let v be (-18)/(-4)*(1 - 3). Let q(s) = -s - 10. Let r be q(v). Is 23 a factor of a(r)?
True
Suppose 21*l = 27*l - 252. Is l a multiple of 21?
True
Does 7 divide (200/35)/4*98?
True
Let y(p) = -8*p - 1. Let u be y(-5). Suppose -3*o - 4*h - 12 + u = 0, -o = 2*h - 9. Is 6 a factor of o?
False
Is ((-23)/(-3) + -1)*(-80 - -83) a multiple of 5?
True
Let x = -25 + 29. Suppose x*f = -5*o + 312, 2*f + f = -o + 69. Is 13 a factor of o?
False
Suppose 0*p = p + 4*y - 15, 3 = y. Let n be 81/6*4/p. Suppose 7 + n = j. Is 25 a factor of j?
True
Let j(z) = 6*z**2 - 13*z - 40. Is 40 a factor of j(8)?
True
Let y(r) = -2*r**3 - r**2 + 3*r + 1. Let s be y(-2). Is 366/s + -4 - 4/14 a multiple of 8?
True
Let a = -3 + -3. Let s be a/(-15) + 8/(-20). Suppose -3*l + 24 = 3*u, -4*u + 5 = l - s*l. Does 5 divide l?
False
Let c(h) = -2 + 2*h**2 - 9 - 11 + 24 + 3*h. Is c(-3) a multiple of 8?
False
Let x(j) = -j**3 - 24*j**2 - 48*j - 28. Does 5 divide x(-22)?
True
Suppose 23*w - 17*w - 312 = 0. Is 26 a factor of w?
True
Let u be (-37)/(-3) + 5/(-15). Let r = 127 - u. Is 26 a factor of r?
False
Let v(f) = -f**3 + 11*f**2 - 11*f + 10. Let w be v(10). Suppose -4*n + 5*c = -7, -4*c + 1 + 3 = w. Suppose 0*g - 105 = -n*g. Does 7 divide g?
True
Let j be 4 + (1588/14 - 16/(-28)). Suppose -5*m = -2*h + 102, 0 = h + 3*h + 16. Let f = j + m. Is 16 a factor of f?
True | {
"pile_set_name": "DM Mathematics"
} |
e of -q**3*u**3 - 4*q**3*u + 1437*q**3 - 6*q**2*u**3 + 1711*q**2*u wrt q?
-6*u**3 - 24*u + 8622
Find the first derivative of -595835*h - 1603713 wrt h.
-595835
Differentiate -3*t*z**2 + 1549986*t*z + 24*z**2 + 1400*z - 3 wrt t.
-3*z**2 + 1549986*z
Find the second derivative of 89220*f**3*h**3 + 5*f**3 + 22*f*h**3 + 30*f*h**2 - f + 18*h**3 wrt f.
535320*f*h**3 + 30*f
What is the derivative of 1459*c**2*j**2*q + 2*c**2*j + 6660*c**2 - 2*c*j**2*q + j**2 wrt q?
1459*c**2*j**2 - 2*c*j**2
Differentiate -2461004*y + 2440907 wrt y.
-2461004
What is the derivative of t**3*v - 340*t**3 + 28*t**2*u - 32*t*u*v - 3*t*u + 6*t*v wrt v?
t**3 - 32*t*u + 6*t
What is the first derivative of -141598*j**4 - 156420 wrt j?
-566392*j**3
What is the third derivative of -1878*h**4 + 4*h**3*v**3 - 2*h**2*v - 615*v**3 - 4*v**2 wrt h?
-45072*h + 24*v**3
What is the third derivative of 101*b**2*t**4 - 348898*b**2 - 1665*t**4 - 2*t**2 wrt t?
2424*b**2*t - 39960*t
What is the third derivative of 4777*b**2*m*z**2 + 9916*b**2*z**3 + 2*b*m*z**2 + b*m*z - 2*m*z**3 - 2*m*z**2 wrt z?
59496*b**2 - 12*m
Find the second derivative of -1039*l**2*w**3 - 255*l**2*w**2 + 680054*l*w + 6*w**3 wrt l.
-2078*w**3 - 510*w**2
Find the third derivative of -2*p*r*y**4 - 109*p*r*y**2 - 5*p + 19*r*y**4 + r*y**2 + r + 1379*y**3 - 7*y wrt y.
-48*p*r*y + 456*r*y + 8274
Differentiate -38747*h - 39638.
-38747
Find the third derivative of -5*v**4 + 7541*v**3 + 2*v**2 - 4*v + 374 wrt v.
-120*v + 45246
What is the third derivative of -159*n**3*x**3 + 3*n**3*x**2 - 202*n**3*x + 3*n**2*x**3 + 92*n**2*x**2 - n*x**3 - 7*x**3 wrt x?
-954*n**3 + 18*n**2 - 6*n - 42
What is the second derivative of 21716*n**3 + 339*n - 1?
130296*n
What is the first derivative of 40*a*d**2*q + 2*a*d**2 + 634*a*q**2 + 3*d**2*q**2 - 42*d*q**2 + d*q - 21*q**2 - 2*q wrt a?
40*d**2*q + 2*d**2 + 634*q**2
Find the second derivative of 10*d**5*l - 1745*d**3*l*m + 6*d*l + d - 89*l*m + 5*m wrt d.
200*d**3*l - 10470*d*l*m
What is the third derivative of -303024*w**3 + 555*w**2 + 307 wrt w?
-1818144
Find the first derivative of -4510*b*q**4 + 2*b*q**2 + 2*b*q + 178*b + 155 wrt q.
-18040*b*q**3 + 4*b*q + 2*b
Find the third derivative of 97345*d**4 - 40460*d**2 + 4*d wrt d.
2336280*d
Find the second derivative of -1743022*y**2 + 2202263*y wrt y.
-3486044
What is the second derivative of 13307*l**4 - 17*l**3*t + 2*l*t + 18*l + 3867*t - 4 wrt l?
159684*l**2 - 102*l*t
Find the second derivative of 120337*a**2 - 3*a + 16489.
240674
Find the second derivative of -21*m**5 + 734*m**4 - 2*m**3 - 164935*m.
-420*m**3 + 8808*m**2 - 12*m
What is the third derivative of -299875*i**6 - 2*i**2 + 1567*i + 3?
-35985000*i**3
What is the third derivative of 2*d**4*s + 4836*d**3*s**3 + 484*d**2*s**3 + 2*d**2*s**2 + 9 wrt d?
48*d*s + 29016*s**3
Find the second derivative of 51459*f**3 + 193395*f.
308754*f
Find the third derivative of -6*h**2*v**3 - h**2*v**2 + 193*h*v**4 + 358286*h + 30*v**4 wrt v.
-36*h**2 + 4632*h*v + 720*v
Differentiate -650650*o**2*u + 14521*o**2 - 22 with respect to u.
-650650*o**2
Find the second derivative of -2429*n*v**3 - 7*n*v**2 + 831*n*v - v**3 - v**2 + 223*v + 2 wrt v.
-14574*n*v - 14*n - 6*v - 2
Find the first derivative of 48665*z**3 - 4*z**2 + z - 61979 wrt z.
145995*z**2 - 8*z + 1
Find the third derivative of 39438*u**3*v**2 - 2*u**3 + 96*u**2*v**2 + 35*u**2 + 11*u*v**2 - 1 wrt u.
236628*v**2 - 12
Find the second derivative of 194*c**2*i**3*q**3 - 97*c**2*i**3*q + c*i**3*q**3 - 324*c*q + 6*i**3 + i**2*q**3 wrt c.
388*i**3*q**3 - 194*i**3*q
What is the derivative of -101292*t**3 - 77783 wrt t?
-303876*t**2
What is the third derivative of 213373*m**2*t**3 + m**2*t - 46612*m*t**2 + 2*m*t + t**3 - 2*t**2 wrt t?
1280238*m**2 + 6
Find the second derivative of -41*h**3*u + 9802*h**2*k*u - 448018*h*k*u - 2*h*u wrt h.
-246*h*u + 19604*k*u
Find the second derivative of -2*n**2*v**2 - 2*n**2*v + 44*n*p*v**2 - n*p - 3*n*v**2 + 79*n - 10*p*v**2 + 4*p*v + 2*v wrt v.
-4*n**2 + 88*n*p - 6*n - 20*p
What is the first derivative of -1040*c*f**3*j + c*f**3 - c*f*j - 20698*f**3*j + 3*f**3 + 2*f**2 wrt c?
-1040*f**3*j + f**3 - f*j
Find the first derivative of 18254*b**2*g + 648*b**2 + 3*g - 456 wrt g.
18254*b**2 + 3
Find the second derivative of -797786*a**4 + 8*a + 2648 wrt a.
-9573432*a**2
Find the third derivative of 24279*b**4 - b**3 - 31122*b**2.
582696*b - 6
Find the second derivative of 2*k**3*q**2 + 3672*k**3 + k**2*q**2 + 44954*k*q**2 + 11*k*q wrt q.
4*k**3 + 2*k**2 + 89908*k
Find the third derivative of u**4*y - 2*u**4 + 1414*u**3*y - 2*u**3 + 3*u**2*y + 6*u**2 + 1326*u - y wrt u.
24*u*y - 48*u + 8484*y - 12
Find the first derivative of -99*a**2*z - 2*a**2 - 2481*a*z + 1702*a + 88 wrt z.
-99*a**2 - 2481*a
What is the third derivative of 590430*f**3*n + f**2*n - f*n + 726*f wrt f?
3542580*n
Differentiate -a**4*r + 871*a**3*r - r - 10694 wrt a.
-4*a**3*r + 2613*a**2*r
What is the second derivative of u**5 - 8*u**4 - 2862*u**3 + 86174*u wrt u?
20*u**3 - 96*u**2 - 17172*u
Find the second derivative of 1506*h*n**4 - 43*h*n - 316*h + 97*n**4 + 5*n wrt n.
18072*h*n**2 + 1164*n**2
What is the third derivative of 77*o**6 + 500*o**5 + 3*o**3 - 593102*o**2 wrt o?
9240*o**3 + 30000*o**2 + 18
Differentiate -11487*j**2 + 4*j - 191890 wrt j.
-22974*j + 4
Find the second derivative of 2973*y**5 - 39*y**4 + 2*y**3 - 35*y + 9144 wrt y.
59460*y**3 - 468*y**2 + 12*y
Differentiate -85998*k**2 - 94239 wrt k.
-171996*k
What is the second derivative of -162599*r**4 + 2*r - 117464?
-1951188*r**2
What is the derivative of 29853*s**4 - 10750 wrt s?
119412*s**3
Differentiate 12214*p**2*y**3 - 2*p**2*y*z - 8*p*y*z + 10478*y**3*z - 4*y**3 with respect to z.
-2*p**2*y - 8*p*y + 10478*y**3
What is the derivative of -5447*h**3 + h**2*r + 19*h*r**2 + 1466*r**2 + 5*r - 20 wrt h?
-16341*h**2 + 2*h*r + 19*r**2
What is the third derivative of 1559*a**5 + a**3 - 163*a**2 - 23?
93540*a**2 + 6
Find the first derivative of -223460*z**4 - 13211 wrt z.
-893840*z**3
What is the third derivative of 137940*x**4 - 2*x**3 + 19370*x**2 - 14*x?
3310560*x - 12
Find the second derivative of 77021*c**2*x**3 - 2*c*x**3 + 898*c*x - 12*c + 2*x wrt c.
154042*x**3
What is the third derivative of 17*d**6 - 102*d**5 + 10*d**4 - 102043*d**2 + 2?
2040*d**3 - 6120*d**2 + 240*d
What is the third derivative of -2*h**5 + 62181*h**4 - 40943*h**2 wrt h?
-120*h**2 + 1492344*h
What is the second derivative of -38912*a**2 - 583626*a?
-77824
What is the third derivative of -2982*h**2*p**3 + 28*h**2*p**2 - 41*h wrt p?
-17892*h**2
What is the derivative of 5050145*y**2 + 1786631?
10100290*y
What is the second derivative of -74415*v**2 + 148*v - 277?
-148830
Find the second derivative of 1324300*c**2 + 166*c + 712 wrt c.
2648600
What is the third derivative of 142*g*k**2*n**3 - 8*g*k**2*n**2 - 200*g*k*n**3 + 6*g*k*n**2 - 135*k**2*n**2 wrt n?
852*g*k**2 - 1200*g*k
What is the first derivative of 2*l**3*q**2 + 273985*l**3 + 171014*l*q**3 wrt q?
4*l**3*q + 513042*l*q**2
Find the second derivative of -23*q**3*x**2 + 2*q**3*x + 2430*q**3 + 83*q**2*x**2 - 23*q**2*x + q*x**2 - 2*x**2 + 2 wrt x.
-46*q**3 + 166*q**2 + 2*q - 4
Differentiate 413008*a**3 - 3221609 with respect to a.
1239024*a**2
What is the second derivative of v**4 - v**3 + 776309*v**2 - 3169826*v?
12*v**2 - 6*v + 1552618
What is the derivative of -8072*a**2 - 22451 wrt a?
-16144*a
What is the second derivative of 2793*c**2*j**2 - 4056*c**2*j - 20*c**2 - 2*c*j**2 - 19*j**2 wrt j?
5586*c**2 - 4*c - 38
What is the third derivative of -262043*s**5 + 332169*s**2 wrt s?
-15722580*s**2
What is the second derivative of 78*b**3*h**2 + 85*b**3*h + 7323*b*h**3 + 1440*h wrt h?
156*b**3 + 43938*b*h
What is the second derivative of s**2*y**2 + 76*s**2*y - 4*s**2 - 18*s*y**2 - 28*s*y - 2087*y**2 wrt y?
2*s**2 - 36*s - 4174
Differentiate -1772526*h + 869122 wrt h.
-1772526
What is the third derivative of -d**4*i - d**4 + 10009*d**3*i + 3*d**3 - 185*d**2*i - 54*i wrt d?
-24*d*i - 24*d + 60054*i + 18
Find the second derivative of -14*i*o**3 - 666*i*o - 12*i + 3*o**4 - 134*o**2 wrt o.
-84*i*o + 36*o**2 - 268
Find the third derivative of 2476270*y**3 - 2873664*y**2 wrt y.
14857620
What is the second derivative of 61492*w**5 - 11*w**2 + 1165873*w?
1229840*w**3 - 22
Find the thi | {
"pile_set_name": "DM Mathematics"
} |
n**2 wrt n.
12480*n - 12
Let x(y) = 1247*y - 2235. Let l(w) = 2*w - 2. Let m(b) = 4*l(b) + x(b). What is the derivative of m(r) wrt r?
1255
Suppose 12 = -22*u + 56. Differentiate -20 + 2*s**2 + 5*s**u - 5*s**2 + 2*s**3 - s**2 wrt s.
6*s**2 + 2*s
Let i(c) = -c**3 + 6*c**2 - c + 1. Let u(z) = -3951*z**3 - 30*z**2 - 35*z + 18. Let h(q) = -5*i(q) - u(q). What is the second derivative of h(o) wrt o?
23736*o
Let q(g) = -248*g**3 - 6*g**2 + 6*g + 203. Let h(p) = -249*p**3 - 5*p**2 + 5*p + 197. Let n(r) = 6*h(r) - 5*q(r). Differentiate n(m) with respect to m.
-762*m**2
Differentiate -1652 + 10*c**3 - 2417 - 3*c**3 + 2777*c**4 - 7*c**3 wrt c.
11108*c**3
Suppose 71*l = 74*l - 12. What is the second derivative of -17*g + l*g + 94*g + 63*g**4 wrt g?
756*g**2
Let t(k) be the third derivative of -4*k + 1/24*k**4 + 2*k**2 + 0*k**3 + 0 - 83/30*k**5 + 0*k**6 - 17/42*k**7. What is the third derivative of t(n) wrt n?
-2040*n
Let l(k) = k**3 - 2*k + 13. Let q(x) = 10634*x**3 - 8831*x**2 - 4*x + 26. Let d(i) = 2*l(i) - q(i). Find the third derivative of d(v) wrt v.
-63792
Let o(a) be the third derivative of -34*a**7/105 - 13*a**6/120 - a**4/24 + 1363*a**3/3 + 631*a**2 + 5. What is the second derivative of o(i) wrt i?
-816*i**2 - 78*i
Let y = 22 + -11. Suppose 2*s = 4*z - 6*z + 10, 25 = 5*z - 4*s. What is the third derivative of -6*g - z*g + y*g - 18*g**5 - 9*g**2 wrt g?
-1080*g**2
Let x(m) = 317*m**4 - 6*m**2 + 12*m + 1921. Let u(b) = 315*b**4 - 7*b**2 + 14*b + 1921. Let c(j) = -6*u(j) + 7*x(j). Find the first derivative of c(o) wrt o.
1316*o**3
What is the first derivative of -35*l**2 + 69819 - 70469 - 2*l - 21*l**2 wrt l?
-112*l - 2
Let o(r) = 36418*r + 18790. Let m(a) = 24276*a + 12525. Let p(w) = -8*m(w) + 5*o(w). Differentiate p(d) wrt d.
-12118
Let b(f) be the third derivative of -83*f**9/252 + f**8/48 + 106*f**5/3 - 3340*f**2. What is the third derivative of b(w) wrt w?
-19920*w**3 + 420*w**2
Let l(g) = -2*g**3 - 15*g**2 + 9*g + 10. Let f be l(-8). What is the second derivative of 702*u**2 - 702*u**f - 2 + 59*u**4 + 51*u**4 + 14*u wrt u?
1320*u**2
Suppose 0 = -35*j + 28*j + 168. Find the third derivative of 19*g**6 + j*g**6 - 29*g**6 + 18*g**6 - 137*g**2 wrt g.
3840*g**3
Suppose 36*c = 33*c + 15. What is the second derivative of -h - 85*h**3 + 152*h**3 + 11*h**c - 43 - 70*h**3 wrt h?
220*h**3 - 18*h
Let d(s) be the first derivative of -356*s**3/3 + 9486*s - 10748. What is the derivative of d(f) wrt f?
-712*f
Let o(l) be the second derivative of 0*l**3 - 51/2*l**2 - l + 1/12*l**4 - 31 - 3/5*l**5. Find the first derivative of o(d) wrt d.
-36*d**2 + 2*d
What is the second derivative of -56 - i**2 + 11*i**5 + 503*i + 20 + 18 + 21 wrt i?
220*i**3 - 2
Let w(x) = 8*x + 110. Let c be w(-9). What is the third derivative of 3*b**6 + 2 - 13*b**6 + 126*b**2 - c*b**2 - 2*b**3 wrt b?
-1200*b**3 - 12
Find the third derivative of -519*p**2 - 217*p**2 - 72*p**2 - 300*p**3 - 3*p**3 wrt p.
-1818
What is the third derivative of 198 + 2*r**6 + 688954*r**3 + 6*r**2 - 689754*r**3 - r**5 - 7*r**2 wrt r?
240*r**3 - 60*r**2 - 4800
Suppose o = -2*o + 2*b + 10, -b = -3*o + 11. What is the second derivative of -5*j**4 - 23*j - 12*j**4 + j**o - 6 + 21*j wrt j?
-192*j**2
Let j(x) be the first derivative of -8 + 0*x**3 - 13/12*x**4 + 10*x**2 + 25*x. Let y(m) be the first derivative of j(m). What is the derivative of y(q) wrt q?
-26*q
Find the first derivative of -184*s**3 - 111*s**3 - 264*s**3 - 193 - 132*s**3 + 275 wrt s.
-2073*s**2
What is the second derivative of 920*h**5 - 2*h + 2063*h**2 + 0*h**3 + h**3 - 462*h**5 - 541 - 2*h**3 - 456*h**5 wrt h?
40*h**3 - 6*h + 4126
Let l = 168 + -166. What is the second derivative of 14*c**2 - 6*c**2 - 35*c + 237*c**3 - 6*c**l - 2*c**2 wrt c?
1422*c
Let u(q) = q**2 - q + 2. Let x(i) = 112*i**4 - 5*i**2 + 5*i - 93. Suppose 4*n + 15 = n, 5*j = 5*n + 50. Let l(d) = j*u(d) + x(d). Differentiate l(s) wrt s.
448*s**3
Find the third derivative of -19*k - 67*k - 3*k**3 + 2775*k**2 - 100*k**4 + 86*k - 2*k**3 wrt k.
-2400*k - 30
Let f be 4/(-114)*-3 - 1375/(-475). Find the second derivative of -70*m**5 - 20*m**3 + 102*m + 20*m**3 + f*m wrt m.
-1400*m**3
Let g(n) be the third derivative of 29*n**7/210 + n**6/10 - 1637*n**4/24 - 401*n**2. Find the second derivative of g(y) wrt y.
348*y**2 + 72*y
Let t(l) be the third derivative of 17*l**5/60 - l**4/4 + 44*l**3 - 72*l**2. Differentiate t(m) with respect to m.
34*m - 6
Suppose 0 = 5*o - 10*o. Suppose 5*i + o*f - f = 5, 2*i - 29 = -5*f. What is the second derivative of -34 - i*d + 22*d**2 + 34 wrt d?
44
Let v(w) = -2644*w**2 - 17*w + 263. Let q(r) = 1761*r**2 + 11*r - 175. Let l(j) = 8*q(j) + 5*v(j). What is the second derivative of l(u) wrt u?
1736
Let l(h) be the second derivative of 9*h**6/10 - 3*h**5/5 - h**4/6 + 19*h**3/6 + 31*h**2 + 27*h + 53. Find the second derivative of l(n) wrt n.
324*n**2 - 72*n - 4
Let d(b) = 7*b + 54. Let o be d(0). Find the second derivative of 57*i + o*i - 70*i**3 - 58 - 110*i wrt i.
-420*i
Find the first derivative of -600 + 1702*v + 4804*v + 8170 + 5479*v wrt v.
11985
Suppose -122*q + 125*q - 21 = -a, q = 2*a - 63. Let j(h) be the second derivative of 0 - 17/2*h**2 + 1/2*h**4 - a*h + 0*h**3. Differentiate j(t) wrt t.
12*t
Let g(f) be the first derivative of -38*f**4 + 2*f**3/3 - 215*f + 604. What is the derivative of g(o) wrt o?
-456*o**2 + 4*o
Let b(x) be the second derivative of -67/2*x**2 + 3/2*x**4 + 7 + 1/6*x**3 - 2*x. Find the first derivative of b(f) wrt f.
36*f + 1
Let t(k) be the first derivative of -5321*k**2/2 + 6085*k - 758. Differentiate t(w) wrt w.
-5321
Suppose 5*i - 15 = 30. Let v be 8/(-3)*(-27)/2. What is the third derivative of 3 + i + 16*p**5 - 12 - v*p**2 wrt p?
960*p**2
Suppose 13*v - 12*v - 18 = 0. Let k = v + -15. Find the third derivative of 40*z**3 - 37*z**k + 15*z**3 - 11*z**2 wrt z.
108
Let o(n) = -n**3 + 8*n**2 + 10*n - 8. Suppose j - 6 = -i, 4*i + 0*j - 51 = 5*j. Let w be o(i). Find the second derivative of 2 + w + 18*l - 7*l**2 - 3 wrt l.
-14
Let j(q) = 61*q**2 + 175. Suppose 235 = 7*o + 207. Let s(n) = -62*n**2 - 177. Let z(d) = o*j(d) + 3*s(d). Differentiate z(l) with respect to l.
116*l
Find the first derivative of -2740*c + 149*c**3 + c**2 + 226 - 151*c**3 + 2740*c wrt c.
-6*c**2 + 2*c
Let d(x) be the second derivative of x - 41*x**3 + 0*x**4 + 227/30*x**6 - 13 + 0*x**5 + 0*x**2. Find the second derivative of d(t) wrt t.
2724*t**2
Let o(r) = 338*r**3 - 2*r**2 - 3358. Let u(a) = 673*a**3 - 5*a**2 - a - 6719. Let b(m) = 5*o(m) - 2*u(m). What is the derivative of b(d) wrt d?
1032*d**2 + 2
Let h(k) be the third derivative of 13*k**6/120 - k**5/20 + k**4/8 - 27*k**2. Let s be h(1). Differentiate 9*v + 50 + 0*v - 2*v + s*v with respect to v.
20
Let y be (-85)/((-13600)/192) - 154/(-30). Let d(i) be the first derivative of 26 - 13/2*i**2 - y*i**3 + 0*i. Find the second derivative of d(b) wrt b.
-38
Let n(g) be the third derivative of -619*g**7/30 + 898*g**5/15 + 7570*g**2. What is the third derivative of n(c) wrt c?
-103992*c
Suppose 21*b - 6*b = 1050. Let g(r) be the first derivative of -64*r**4 + b*r**4 + 15 + 10 - 2*r**3. What is the third derivative of g(s) wrt s?
144
Let g(l) be the first derivative of -5*l**5/12 - 13*l**4/24 - 6*l**3 - 51. Let o(s) be the third derivative of g(s). What is the first derivative of o(v) wrt v?
-50
What is the second derivative of 54 + 131*n**2 - 1006*n**2 + 52 - 106 + 1126*n wrt n?
-1750
Let o be (15/3 + 4 + -4)*9. Differentiate 6*i**3 + i**2 + o - 3*i**3 + 85 wrt i.
9*i**2 + 2*i
Let n = -36 - -80. Let d = n + -42. Find the second derivative of 13*b**5 - 6*b + b + d*b**5 wrt b.
300*b**3
Let u(j) be the third derivative of 0*j**7 + 5/56*j**8 - 1/60*j**5 + 39 - 2*j**2 - 1/4*j**4 + 0*j**6 + 0*j + 0*j**3. Find the third derivative of u(t) wrt t.
1800*t**2
Let m(i) = 28*i**2 - i + 2. Let r(w) = 4016*w**2 + 3*w - 5198. Let v(b) = 3*m(b) + r(b). Differentiate v(z) wrt z.
8200*z
Let y(q) be the second derivative of -44*q**2 + 0*q**3 - 55*q + 0*q**4 + 1/20*q**5 - 2 - 41/15*q**6. Differentiate y(k) with respect to k.
-328*k**3 + 3*k**2
What is the third derivative of 984*q**6 + 28*q - 34*q + 20*q**2 + 761*q**6 - 4*q**2 - 37*q**6 wrt q?
204960*q**3
Let g be 1/(-4) + (-63)/(-28). What is the first derivative of 2*s**3 - g* | {
"pile_set_name": "DM Mathematics"
} |
.159072
Convert 93.4371l to millilitres.
93437.1
What is 0.3845592 millimeters in meters?
0.0003845592
What is three eighths of a litre in millilitres?
375
Convert 0.932459kg to nanograms.
932459000000
How many decades are there in 188.58465 months?
1.57153875
What is seven thirds of a day in hours?
56
What is 98.99894t in grams?
98998940
What is 21/5 of a meter in centimeters?
420
Convert 91.40544l to millilitres.
91405.44
What is 15.69618 minutes in milliseconds?
941770.8
How many milligrams are there in fifty-nine quarters of a gram?
14750
What is one twentieth of a hour in minutes?
3
How many millilitres are there in one tenth of a litre?
100
Convert 0.8962135 years to decades.
0.08962135
How many decades are there in 71/5 of a millennium?
1420
What is 21/8 of a tonne in kilograms?
2625
How many meters are there in 43157.59 kilometers?
43157590
How many nanograms are there in 25/8 of a microgram?
3125
What is 675.016ms in seconds?
0.675016
What is 4.978034 millilitres in litres?
0.004978034
How many minutes are there in two fifteenths of a day?
192
How many nanograms are there in one tenth of a milligram?
100000
What is five quarters of a litre in millilitres?
1250
How many nanograms are there in 5988.174 grams?
5988174000000
How many meters are there in thirteen fifths of a kilometer?
2600
What is one tenth of a gram in milligrams?
100
How many micrometers are there in 3/50 of a centimeter?
600
What is 92565.87 millimeters in nanometers?
92565870000
What is 292.0142 millilitres in litres?
0.2920142
What is 61/2 of a meter in millimeters?
30500
What is 232.723 litres in millilitres?
232723
What is 7.528773 litres in millilitres?
7528.773
Convert 18504.38 litres to millilitres.
18504380
Convert 54364.65g to micrograms.
54364650000
Convert 49053.74 centimeters to kilometers.
0.4905374
How many micrometers are there in 7/4 of a millimeter?
1750
Convert 72.9695 millilitres to litres.
0.0729695
What is 3/8 of a millimeter in micrometers?
375
Convert 5451.054um to centimeters.
0.5451054
How many kilograms are there in 3/10 of a tonne?
300
What is 6/25 of a centimeter in micrometers?
2400
What is 6509.712 years in centuries?
65.09712
How many milliseconds are there in 2.055965s?
2055.965
What is thirteen fifths of a millennium in centuries?
26
How many centuries are there in one tenth of a millennium?
1
What is 76429.13ml in litres?
76.42913
Convert 9780.96 millilitres to litres.
9.78096
Convert 0.2716206 micrometers to nanometers.
271.6206
What is 4799.163mg in grams?
4.799163
What is three eighths of a kilometer in meters?
375
What is 3/25 of a millimeter in micrometers?
120
What is 5696.35ng in kilograms?
0.00000000569635
What is 3/25 of a millisecond in microseconds?
120
What is 598.608ml in litres?
0.598608
What is seven quarters of a litre in millilitres?
1750
How many seconds are there in 1/28 of a week?
21600
How many millennia are there in 233383.7 centuries?
23338.37
Convert 2201.712 litres to millilitres.
2201712
How many minutes are there in 7/3 of a hour?
140
How many nanograms are there in nine tenths of a microgram?
900
What is two sevenths of a week in days?
2
Convert 3.773356ml to litres.
0.003773356
What is 3/8 of a micrometer in nanometers?
375
What is 8090.943 months in decades?
67.424525
How many micrometers are there in 9827.991km?
9827991000000
Convert 27718.7 years to millennia.
27.7187
What is 667.8323 centuries in years?
66783.23
How many kilometers are there in 25.36394nm?
0.00000000002536394
What is 14990.18ug in tonnes?
0.00000001499018
What is 748086.3 seconds in days?
8.65840625
How many meters are there in 5/4 of a kilometer?
1250
How many micrometers are there in 17/2 of a centimeter?
85000
How many kilometers are there in 49863.82um?
0.00004986382
What is 27/5 of a centimeter in millimeters?
54
What is 3/10 of a centimeter in micrometers?
3000
How many millimeters are there in 6/5 of a centimeter?
12
What is 31390.75 millimeters in kilometers?
0.03139075
What is 42438.3l in millilitres?
42438300
What is 27/2 of a kilogram in grams?
13500
How many hours are there in 13/4 of a day?
78
How many grams are there in fourty-three quarters of a kilogram?
10750
How many nanoseconds are there in 7.902875 weeks?
4779658800000000
How many milligrams are there in 605.6716 nanograms?
0.0006056716
How many millimeters are there in three fifths of a meter?
600
How many millilitres are there in 1/5 of a litre?
200
What is 1/10 of a centimeter in micrometers?
1000
What is five eighths of a milligram in micrograms?
625
How many months are there in one sixth of a decade?
20
Convert 721774.3 centuries to decades.
7217743
What is 773.5996nm in centimeters?
0.00007735996
How many minutes are there in seven thirds of a day?
3360
Convert 26890.428 months to millennia.
2.240869
How many millimeters are there in one fifth of a meter?
200
What is 22.659432 months in centuries?
0.01888286
How many hours are there in fifty-eight thirds of a week?
3248
How many millennia are there in 782.3058 months?
0.06519215
How many milliseconds are there in 57017.25 weeks?
34484032800000
What is 75/2 of a millimeter in micrometers?
37500
How many millilitres are there in 47/4 of a litre?
11750
How many centimeters are there in 51/5 of a meter?
1020
What is one twentieth of a millennium in years?
50
How many seconds are there in 6/25 of a hour?
864
What is 836.5087 nanoseconds in seconds?
0.0000008365087
Convert 33436.45 millimeters to nanometers.
33436450000
How many nanometers are there in 9.064781um?
9064.781
What is 55.08834 decades in years?
550.8834
Convert 3477.535 years to decades.
347.7535
What is 0.4439232t in kilograms?
443.9232
How many tonnes are there in 4.319459ng?
0.000000000000004319459
What is 0.34698 nanograms in kilograms?
0.00000000000034698
How many nanometers are there in six fifths of a micrometer?
1200
What is 12/25 of a meter in millimeters?
480
Convert 0.7685474 centimeters to meters.
0.007685474
Convert 2.27314 millimeters to micrometers.
2273.14
How many meters are there in 92.21596um?
0.00009221596
How many meters are there in fifteen quarters of a kilometer?
3750
How many micrograms are there in 649233.3 nanograms?
649.2333
How many minutes are there in 437.9252 weeks?
4414286.016
What is 2.82038 kilometers in nanometers?
2820380000000
How many millimeters are there in twenty-one halves of a centimeter?
105
How many centimeters are there in 3/8 of a kilometer?
37500
What is 10841.2nm in millimeters?
0.0108412
What is 1/5 of a meter in millimeters?
200
What is 0.6486423 nanograms in milligrams?
0.0000006486423
What is 4386.284l in millilitres?
4386284
How many days are there in 4802.634 weeks?
33618.438
How many decades are there in 718873.3 millennia?
71887330
How many minutes are there in 1/6 of a week?
1680
What is thirteen sevenths of a week in hours?
312
How many tonnes are there in 2522.033 milligrams?
0.000002522033
What is three tenths of a meter in millimeters?
300
How many meters are there in three tenths of a kilometer?
300
What is 25/4 of a litre in millilitres?
6250
How many millilitres are there in thirteen quarters of a litre?
3250
Convert 0.7047449 micrometers to nanometers.
704.7449
How many kilograms are there in seven quarters of a tonne?
1750
Convert 93299.42l to millilitres.
93299420
Convert 0.2581637 centuries to millennia.
0.02581637
What is 5/8 of a litre in millilitres?
625
How many millilitres are there in seventeen quarters of a litre?
4250
What is 877270.6ml in litres?
877.2706
Convert 0.8999443 nanograms to milligrams.
0.0000008999443
What is 69/2 of a decade in months?
4140
How many months are there in 37/2 of a century?
22200
What is 4.34638 micrograms in nanograms?
4346.38
What is fourty-four fifths of a meter in millimeters?
8800
Convert 98779.5 weeks to nanoseconds.
59741841600000000000
Convert 657103.7 grams to micrograms.
657103700000
How many centuries are there in 489656.2 millennia?
4896562
What is 40806.23 days in milliseconds?
3525658272000
Convert 26.81812 meters to millimeters.
26818.12
How many millilitres are there in eleven quarters of a litre?
2750
How many years are there in 11/10 of a decade?
11
How many millimeters are there in three fifths of a meter?
600
Convert 40.68441 | {
"pile_set_name": "DM Mathematics"
} |
71, -5520?
-6669
What is the next term in -84, -1151, -2934, -5433, -8648?
-12579
What is next in 1869313032, 1869313031, 1869313030, 1869313029?
1869313028
What is the next term in 6231, 9424, 12617, 15810?
19003
What comes next: -777, -695, -515, -195, 307, 1033, 2025, 3325?
4975
What comes next: -135649, -273388, -411127?
-548866
What is the next term in -127892, -127870, -127848, -127826?
-127804
What is the next term in 1402623, 5610526, 12623707, 22442166, 35065903?
50494918
What comes next: -191665, -191677, -191687, -191695?
-191701
What is next in 1159158, 1159268, 1159570, 1160160, 1161134, 1162588?
1164618
What is next in 24025640, 48051282, 72076924?
96102566
What is the next term in -4812366, -4812364, -4812362, -4812360, -4812358?
-4812356
What is the next term in -93610, -93837, -94062, -94285?
-94506
What is next in 41971, 335566, 1132267, 2683564, 5240947?
9055906
What comes next: -10851840, -10851843, -10851846?
-10851849
What comes next: 713278, 1426583, 2139900, 2853229, 3566570?
4279923
What is the next term in -28956, -28965, -28980, -29001, -29028, -29061, -29100?
-29145
What is next in -2083, -4093, -6035, -7903, -9691, -11393, -13003, -14515?
-15923
What comes next: -642639, -1285316, -1927991, -2570664?
-3213335
What comes next: 264, 438, 910, 1824, 3324, 5554?
8658
What is the next term in -79057812, -79057818, -79057826, -79057836, -79057848, -79057862, -79057878?
-79057896
What is next in -5470957, -5470958, -5470975, -5471020, -5471105, -5471242?
-5471443
What comes next: -16302750, -32605473, -48908196, -65210919?
-81513642
What comes next: -830, -1235, -1606, -1925, -2174, -2335, -2390, -2321?
-2110
What is next in 18906337, 37812684, 56719041, 75625414, 94531809, 113438232, 132344689?
151251186
What comes next: 10309, 22359, 34409, 46459, 58509, 70559?
82609
What comes next: -11636, -11518, -11400?
-11282
What comes next: -1684, -3258, -4832, -6406?
-7980
What is next in -56672, -112957, -168818, -224249, -279244, -333797, -387902?
-441553
What is next in 1006270766, 2012541542, 3018812306, 4025083052, 5031353774, 6037624466, 7043895122?
8050165736
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56598
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-3699
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-13332
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426309
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80207
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-23088
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-3016
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-1902755
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6939578
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-144652
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-9022257
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402233
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-44934
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-3999610
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-11469
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-104308
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96936
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-5239706
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8829138
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15095
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-337192
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-118238
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3808
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30048856
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-16868690
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1176601
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-228770
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814034218
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-6263838
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-131
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-1184120
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-35176
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-212759
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8430416
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1926451
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-36764
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-484298
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2922430
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1343070
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-1017416
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-9863
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82599
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-10553
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-1033088
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-404288
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9483
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-63839
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11841
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32019
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-53800
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12067016
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383853
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45818
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66417
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40881708
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6626902
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-32741
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-171602
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-5023095
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4660
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-12421
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10673
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20498
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-163384
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-38877
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-562569
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501612
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1807718
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10511464132
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94990929
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-648267
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90081
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80874
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40268087
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-45642748
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145516
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5869
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14793
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-5886253
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-2079
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6962
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2851952
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39412810
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-199988
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-78873
What comes next: -1794, -2440, -3078, -37 | {
"pile_set_name": "DM Mathematics"
} |
).
2*j**2 + 1
Let f(z) = -3*z - 3. Suppose 40*s + 18 = 34*s. Let u(t) = -t**2 - 3*t - 4. Determine s*f(g) + 2*u(g).
-2*g**2 + 3*g + 1
Suppose -278 + 70 = 26*u. Let s(z) = -5*z + 9. Let i(b) = 3*b - 6. Give u*i(k) - 5*s(k).
k + 3
Let o(g) be the third derivative of g**5/60 - g**3/6 - g**2. Let b be ((-2)/7)/((-11)/77). Let m(l) = -2*l**3 - 3*l**2. Determine b*o(w) + m(w).
-2*w**3 - w**2 - 2
Let v(f) = f. Suppose x + 7*x - 24 = 0. Suppose 0 = x*k - 0 - 3. Let l(m) = -m**2 - m - 1. Let w = 0 - -1. What is k*l(j) + w*v(j)?
-j**2 - 1
Let v(s) = -38*s - 9. Let f(n) = -13*n - 3. Calculate -17*f(g) + 6*v(g).
-7*g - 3
Let l(g) = -g**2 - 1. Let f(n) be the second derivative of n**4/4 + n**3/6 + 3*n**2/2 + 49*n + 1. Give -f(a) - 4*l(a).
a**2 - a + 1
Let n(u) = 10*u - 2. Let j(c) = c. Let t = -1031 + 1043. What is t*j(a) - n(a)?
2*a + 2
Let m(n) be the second derivative of -3*n**2/2 + 14*n - 2. Let t(g) be the third derivative of g**5/60 - 2*g**3/3 + 3*g**2. Give -4*m(c) + 3*t(c).
3*c**2
Let v(s) = -s**3 + 2*s**2. Let a(t) = -350*t**3 + 280*t**2. Calculate 3*a(z) - 420*v(z).
-630*z**3
Let m(u) = -7*u**2 - 2*u + 140. Let w(c) = -8*c**2 - 3*c + 140. Calculate 6*m(x) - 5*w(x).
-2*x**2 + 3*x + 140
Let o(z) = 42*z**2 - 19*z - 4. Let m(a) = 167*a**2 - 83*a - 17. Determine -2*m(x) + 9*o(x).
44*x**2 - 5*x - 2
Let k(o) = 135*o. Let l(r) = 946*r. Determine 43*k(i) - 6*l(i).
129*i
Let g(p) be the third derivative of p**5/10 - 3*p**3/2 - 15*p**2. Let r = -2 - -3. Suppose -l = -0 + r. Let b(t) = -t**2 + 1. What is l*g(k) - 9*b(k)?
3*k**2
Let g(y) = 5*y + 6. Let k(h) be the first derivative of h**2/2 + h - 12. Let x(o) = g(o) - 6*k(o). Let i(r) = -6*r - 2. Determine i(m) - 5*x(m).
-m - 2
Let u(k) be the second derivative of -13*k**3/6 - 60*k. Let f(l) = l. Give 4*f(i) + u(i).
-9*i
Let w = -36 + 37. Let m(a) = 12*a**2 - 2*a + 1. Let h be m(w). Let l(r) = 36*r + 10. Let d(q) = -7*q - 2. What is h*d(z) + 2*l(z)?
-5*z - 2
Let p(q) = q**3 - 4*q**2 - 6*q + 2. Let n(l) = 9*l**2 - l**3 + 13*l - 4 - l**3 + 0*l**2. Let y = -51 + 64. Let a be 2/(-3) - 20/(-3). Give a*n(c) + y*p(c).
c**3 + 2*c**2 + 2
Let r(m) = -2*m**2 - 7*m + 17. Let v be r(-5). Let s(j) be the first derivative of j**2 + 3. Let q(y) = 8*y. Determine v*q(p) - 9*s(p).
-2*p
Let d(q) = 29*q**3 + 13*q**2 + 10*q + 19. Let r(i) = 15*i**3 + 7*i**2 + 6*i + 11. Determine 4*d(h) - 7*r(h).
11*h**3 + 3*h**2 - 2*h - 1
Let w(l) be the third derivative of -l**5/15 - l**4/12 + l**3/6 - 113*l**2. Let p(n) = -11*n**2 - 6*n + 3. Determine 3*p(s) - 8*w(s).
-s**2 - 2*s + 1
Let l(p) = -131*p - 12. Let a(u) = -33*u - 3. Determine -9*a(w) + 2*l(w).
35*w + 3
Let a(t) = 28*t - 89. Let p(c) = -10*c + 30. Give 6*a(q) + 17*p(q).
-2*q - 24
Let q(w) = -6*w + 5. Let v be (-14)/(-4)*40/7. Suppose c - v = -4*a + 2*c, -3*a - 3*c = -15. Let b(u) = -3*u + 3. What is a*b(y) - 3*q(y)?
3*y
Let z(r) = r**2 + 5*r - 124. Let f be z(9). Let x(y) = -8*y**3 + 2*y**2 + 2*y - 2. Let d(q) = -40*q**3 + 11*q**2 + 11*q - 11. Determine f*d(v) - 11*x(v).
8*v**3
Suppose 7 - 1 = y. Let o(t) = -5*t**3 + 5*t**3 - y + 5*t**2 - t**3 + t. Let c be o(5). Let l(x) = -x + 1. Let j(u) = 5*u - 4. Calculate c*j(k) - 3*l(k).
-2*k + 1
Let g(n) = 5*n - 6. Suppose 9*r - 28 = 8. Let p(q) = q. Calculate r*p(x) - g(x).
-x + 6
Let u(c) = 13*c**2 - 9*c. Let b(n) = 3*n**2 - 2*n. Let q(s) = s**2 + s + 2. Let m be q(0). Let k be (60 - 33)*((-3)/9 - 0). Give k*b(w) + m*u(w).
-w**2
Let v(z) = -z**3 - z**2 - z. Let i(a) = -2*a + 4*a**2 - 3*a**2 - 3*a**3 + 1 - 3*a**3 + 5*a**3 - 4*a**2. Give -i(h) + 3*v(h).
-2*h**3 - h - 1
Let b(i) = -3*i**3 - 4*i**2 + 3*i - 19. Let q(k) = 5*k**3 + 3*k**2 - 2*k + 19. Give -2*b(g) - 3*q(g).
-9*g**3 - g**2 - 19
Let o(n) = 4*n + 2. Let c(j) = j. Suppose 73*l + 16*l = 534. Determine l*c(r) - 2*o(r).
-2*r - 4
Let d(m) = -57*m**3 - 33*m**2 + 33*m - 33. Let l be 2 - (-2 + 2) - -31. Let b(w) = -7*w**3 - 4*w**2 + 4*w - 4. Calculate l*b(g) - 4*d(g).
-3*g**3
Let d(o) = -2*o - 1. Let i(q) = 2*q + 2. Let h(r) = 2*r**3 + r**2 - r + 1. Let w be h(1). Let k = w - 0. Suppose 7*x = 5*x + 4. Determine k*d(l) + x*i(l).
-2*l + 1
Let v(t) = -13*t**2 + 3*t - 5. Let h(g) = g - 5. Calculate -2*h(z) + v(z).
-13*z**2 + z + 5
Let m(i) = i**2 - 105. Let w(y) = y**2 - 106. Calculate -3*m(q) + 2*w(q).
-q**2 + 103
Let z(x) = -4*x - 1. Let v(k) = 0*k - 1 + 173*k**2 - 174*k**2 - k. Determine 2*v(q) - z(q).
-2*q**2 + 2*q - 1
Let f(d) = 4*d**3 - 5*d**2 - 5. Let k(m) = -55 + m**2 + 102 - m**3 - 46. Give 6*f(a) + 30*k(a).
-6*a**3
Let w(m) = 15*m**3 - 5*m. Suppose -5*t + 198 = 173. Let h(f) = 7*f**3 - 3*f. Give t*h(l) - 3*w(l).
-10*l**3
Let i(f) = -7*f**2 + 3*f - 4. Let b(s) = -27*s**2 + 11*s - 16. Let y(z) = 2*b(z) - 9*i(z). Let r(x) = 5*x**2 - 3*x + 2. Determine -5*r(k) + 3*y(k).
2*k**2 + 2
Let y(t) = 335*t**3 - 8*t**2 - 4*t - 4. Let z(u) = 104186*u**3 - 2486*u**2 - 1243*u - 1243. Give 1243*y(c) - 4*z(c).
-339*c**3
Let y(v) = 121*v**3 + 9*v**2 - 2*v + 4. Let m(b) = 244*b**3 + 20*b**2 - 5*b + 9. What is -4*m(u) + 9*y(u)?
113*u**3 + u**2 + 2*u
Let i(b) = b**2 - b + 1. Let u(v) = -8*v - 4*v**2 + 10 + 2 - 5 + 11*v**2. Suppose 0 = n - d - 5, 3*n + 9 = -0*d - 3*d. Calculate n*u(c) - 6*i(c).
c**2 - 2*c + 1
Let a(n) = -4*n - 9. Let f(x) = -2*x + 39. Let o(z) = -5*z + 117. Let w(b) = -17*f(b) + 6*o(b). Let r be w(-11). Let l(t) = -2*t - 4. What is r*l(g) + 2*a(g)?
2*g + 2
Let z(f) = -f**3 + f**2 - 2. Let y(u) = 16*u**3 - 7*u**2 + 6. What is -y(q) - 3*z(q)?
-13*q**3 + 4*q**2
Let a = 27 + -30. Let i(p) = -4*p**2 - 4*p + 5. Let r(t) = -12*t + 2 - 16*t + 26*t - 2*t**2. Determine a*i(o) + 7*r(o).
-2*o**2 - 2*o - 1
Let l be 0/(8/4 - 0). Suppose 4*p + 3*w = 5, -4*p + 3*w + 2 + 9 = l. Let a(j) = j**2 + 1. Let y(v) = -4*v**2 - 4. Calculate p*a(q) + y(q).
-2*q**2 - 2
Let s(t) = -385*t**3 + 2. Let w(y) = 810811*y**3 - 4213. What is 4213*s(p) + 2*w(p)?
-383*p**3
Let g(m) = -4*m. Let z(o) = -4*o + 1. Determine -3*g(y) + 4*z(y).
-4*y + 4
Let p(a) = -a + 5. Let g(v) be the third derivative of v**4/12 - 3*v**3/2 + 188*v**2. Determine -6*g(o) - 10*p(o).
-2*o + 4
Let j(c) = 14*c**3 - 11*c**2 - 5*c - 95. Let z(a) = -5*a**3 + 4*a**2 + 2*a + 32. Determine -4*j(n) - 11*z(n).
-n**3 - 2*n + 28
Let y(l) = 100 + 8*l - 6*l - 104. Suppose -2*v + 3*h - 4 = 0, -3*v + 3*h = -2*h + 7. Let f(x) be the first derivative of -x**2/2 + x - 3. Give v*y(m) + 3*f(m).
-m - 1
Let s(d) = 14*d**3 + d**2 + 6*d. Let x(i) = 70*i**3 + 7*i**2 + 32*i + 1. Calculate 11*s(z) - 2*x(z).
14*z**3 - 3*z**2 + 2*z - 2
Let b(l) = -13*l + 5. Let f be (54/(-81))/(2/(-27)). Let c(j) be the second derivative of j**3/2 - j**2/2 - 3*j. Give f*c(y) + 2*b(y).
y + 1
Let z(u) = -3*u**3 + 5*u**2 - 2*u + 1. Let w(j) = -7*j**3 + 11*j**2 - 5*j - 3. Let r(g) = -1. Let b(h) = 6*r(h) - w(h). Determine -2*b(i) - 5*z(i).
i**3 - 3*i**2 + 1
Let o(g) = 2*g**2 - 6*g + 3. Let d(v) = -9*v**3 - 36*v**2 + v - 9. Let b be d(-4). Let m(j) = -4*j**2 + 13*j - 6. Determine b*o(k) - 6*m(k).
-2*k**2 - 3
Let w(r) = r - 1. Let t(k) = -3*k + 211. Determine t(m) + 2*w(m).
-m + 209
Let v(p) = 5*p**2 - 29*p + 3. Let j(d) = -11*d**2 + 59*d - 5. Calculate -3*j(f) - 7*v(f).
-2*f**2 + 26*f - 6
Suppose 2*t + 17 = -5*f, -3*f = -17*t + 22*t + 14. Let j(h) = -5*h**2 - 3*h - 2. Let q(b) = -4*b**2 - 3*b - 1. Determine f*j(g) + 4*q(g).
-g**2 - 3*g + 2
Suppose -3*b + 2163 = 2148. Let a(y) = 8*y**3 + 5*y - 3. Suppose 0 - 18 = 3*j. Let d(h) = 9*h**3 + 6*h - 4. What is b*d(q) + j*a(q)?
-3*q**3 - 2
Let m(g) = g - 1. Let k(w) = -2*w + 2. Let y be 1881/(-15) + 7/((-35)/(-2)). Let d = -122 - y. Calculate d*k(i) + 7*m(i).
i - 1
Let h(y) be the second derivative of -5*y**3/6 + 3*y**2 + 73*y - 2. Let t(i) = 5*i - 5. Determine 6*h(o) + 7*t(o).
5*o + 1
Let x(l) = 4*l - 15. Let p(a) = -72*a + 7. Let g(w) = -101*w + 10. Let n(z) = 5*g(z) - 7*p(z). What is 6*n(h) + x(h)?
-2*h - 9
Let j = 10 + -15. Let k(f) = 2*f**2 + 7*f + 6. Let b(m) = 2*m**2 + 6*m + 5. Calculate j*k(x) + 6*b(x).
2*x**2 + x
Let l(s) = 7*s**2 - 4*s. Let n(r) = r**2 + 111*r - 45*r - 66*r. What is -l(z) + 6*n(z)?
-z**2 + 4*z
Let d(a) = 5*a**3 + 6*a**2 - 8. Let c(s) = -3*s**3 - 4*s**2 + 5. Let j = 13 - 4. Let b(r) = 3*r - 22. Let q be b(j). Determine q*d(w) + 8*c(w).
w**3 - 2*w**2
Let r(h) = h. Let q(m) = 4*m + 31. Let x(w) = -2*w - 11. Let v(f) = 6*q(f) + 17*x(f). | {
"pile_set_name": "DM Mathematics"
} |
+ 11 - 11)*(1 + 1 - 1).
-39*i**2
Expand (-5 + 0 + 2)*(2*w**3 - 2*w**3 - 2*w**5) - 8*w**2 - 3*w**2 + 3*w**5 + 9*w**2 + 2*w**4.
9*w**5 + 2*w**4 - 2*w**2
Expand (-3*a + a + 4*a)*(-30 + 44 - 75).
-122*a
Expand (4*m + 2*m + m)*(2*m - 2*m**4 + 4*m**4 - 20*m**3 + 21*m**3).
14*m**5 + 7*m**4 + 14*m**2
Expand 10*k - 3*k + 4*k - k + 3*k - 3*k - 2*k + 3*k + k + (-1 - 3 + 6)*(2*k + k - 2*k) - 2*k + 0*k + 4*k.
16*k
Expand 4*m**2 + 0*m**2 - 3*m**2 + (-3 - m + 3)*((2 + 1 - 1)*(2*m + 0*m + 0*m) - 2*m + 0*m + 4*m).
-5*m**2
Expand (-f + 0*f + 0*f)*(9*f + f + 19*f).
-29*f**2
Expand (26*n - 16*n - 24*n**2 - 8*n)*(-n**2 - n**2 + n**2).
24*n**4 - 2*n**3
Expand (2 - 3 + 4)*(-a + 7*a - 4*a)*(3*a - 5*a + 4*a)*(-a**2 - a**2 + a**2).
-12*a**4
Expand (0 + 4 - 3)*(-73 + 66 + 55)*(-2*v + 0*v - v).
-144*v
Expand (5*r + 7*r - r)*(2 - 1 - 3)*(0*r + r - 4*r).
66*r**2
Expand ((-2*j + 2*j + j)*(-2 - 5 + 5) - j - 4*j + 2*j)*(3 + 3 - 4).
-10*j
Expand (10 + 13 - 29)*(-2 + 2 + n)*(3*n - 2*n - 2*n).
6*n**2
Expand -2*t**2 + 3*t**2 - 3*t**2 + (4*t - 2*t - t)*(-t - 2*t + 2*t) - 3*t**2 + 3*t**2 + 2*t**2 - 2*t**2 + 3 - 3 + t + 2*t**2 - 4*t**2 + 3*t**2.
-2*t**2 + t
Expand (-18 + 1 - 2 + 3*h)*((2*h + h - 5*h)*(h - 2*h + 2*h) - 4*h**2 + 5*h**2 - 2*h**2).
-9*h**3 + 57*h**2
Expand (-4*f**2 + 3*f**2 + 4*f**2)*(4*f + f - 6*f)*(-3*f - 1 + 1 + (2 + 2 - 1)*(-4 + 4 + f) + 3*f + 2*f - 3*f).
-6*f**4
Expand (-p + 2*p + 0*p)*(-4*p + 4*p + 2*p) - p**2 - 1 + 1.
p**2
Expand ((4 - 4 - 1)*(-3 + 1 + 4) + 4 - 5 - 4)*(-o + o + 2*o**5).
-14*o**5
Expand 4 - 4 + 4*i + (0 + 1 + 1)*(-4*i + 2*i + 3*i) + (0 + 3 - 2)*(-6*i + 4*i + 6*i).
10*i
Expand (2*w**3 + 2*w - 2*w)*(-26 + 12*w + 26).
24*w**4
Expand (5*x + 0*x + 0*x)*(x + 0*x + x) + (x + 0 + 0)*(-x - 2*x + 2*x).
9*x**2
Expand (-3 + 3 + p)*(-2*p**2 + p**2 - p**2).
-2*p**3
Expand (2 + 4 - 4)*(-2 + 3 - 2)*(0 + 0 + 2*u).
-4*u
Expand (l - 3 + 3)*(-1 + 11 + 6).
16*l
Expand ((-2*c + 4 - 4)*(2 - 2 - 2) + c - 6*c + 3*c)*(-27*c - 40*c + 37*c).
-60*c**2
Expand -37*j**2 + 15*j**2 + 16*j**2 + 2*j**2 - 2*j**2 + j**2 + (-1 + 1 - j**2)*(-2 - 1 + 2).
-4*j**2
Expand -2 + 2 - 2*f - 13*f - f + 0*f + (-1 + 3 - 1)*(f - 2*f + 0*f) - f - 3*f + 6*f.
-15*f
Expand (3 - 6 + 1)*(-54*m - 13 + 0 + 13).
108*m
Expand (-4 + 4 - 2*n**2)*(4*n - 4*n + n**3).
-2*n**5
Expand -6*r**2 - r**2 + 5*r**2 + (11 - 6 + 5)*(4 - 4 - r)*(2 - 2 + 2*r).
-22*r**2
Expand (-2 + 2 + 2*d - d - 1 + 1 + (3*d + 2*d - 4*d)*(1 + 1 + 2))*(-d**3 - 4*d**2 + 4*d**2).
-5*d**4
Expand (-4*k**3 - k**3 + 7*k**3)*(2 + k - 2) + 3 + 14*k**4 - 3.
16*k**4
Expand (2*a + 0*a - 4*a)*(-3*a + 3*a + 2*a**3) - a + 2*a**4 + a + 2*a**4 - 2*a**4 - 2*a**4 + (2*a**2 + 0*a**2 - 3*a**2)*(-5*a**2 + 3*a**2 + 4*a**2).
-6*a**4
Expand (2*t**2 + t**3 - 2*t**2)*(-2 - t + 2) + 14*t**4 - 2*t**4 + 20*t**4.
31*t**4
Expand (-1 + 1 - 2*k)*(-1 - 1 + 1) + 106*k + 274*k - 127*k.
255*k
Expand (-3 + 3 + 2*c)*(2 + 0 - 1) + (-1 + 3 - 4)*(-7*c - 10*c + 4*c).
28*c
Expand -2*s**3 - 2 + 2 - 3*s**3 - 3*s**3 + 7*s**3 + (-s**2 - 3*s**2 + 5*s**2)*(-5*s + 3*s + 0*s) - 7*s**3 + 4*s**3 - 2 + 5 + 1 + 3*s**3 - 1.
-3*s**3 + 3
Expand (-w**2 + w**2 + 2*w**4)*(-4 + 3 + 3 + (-4 + 3 + 3)*(0 + 1 + 0) + 1 - 4 + 4 + (1 + 3 - 3)*(17 + 3 - 7)).
36*w**4
Expand (3*f + f - 2*f)*(0*f - 5*f + 3*f) - 5*f**2 + 5*f**2 + 2*f**2 - 1 + 1 - 2*f**2 + (0 + 4 - 2)*(4*f + 4*f + 6*f)*(-5*f + f + 2*f).
-60*f**2
Expand (-1 + 2*t + 1)*(-3 + 6 - 2) + 4*t - 2*t - 3*t + 1 + (-1 - 3 + 2)*(3*t - t - 4*t) - t + 4*t - 2*t.
6*t + 1
Expand (-7*n**4 - 4*n**2 + 4*n**2)*(-2*n + 0*n + 0*n) + (3*n**2 + 4*n**2 - 5*n**2)*(0*n**3 + 0*n**3 - 2*n**3) + 1 - n**5 - 1.
9*n**5
Expand (3*b - 4*b + 2*b)*(5*b + 2 - 2)*(-2*b - 2*b + 2*b) - 11*b + 11*b - 12*b**3.
-22*b**3
Expand (-2*b**2 + 4*b**2 + b**2)*(0*b - 3*b + b + (2*b + 0*b + 0*b)*(0 + 0 + 2) + 1 - 14*b - 1).
-36*b**3
Expand -b**4 + b**4 - b**5 + 2*b**5 + 6*b**5 + 0*b**5 + (-b**4 - 3*b**2 + 3*b**2)*(10 - 8*b - 10).
15*b**5
Expand ((2*l**3 - 5*l**3 + 5*l**3)*(2*l - 4*l + 0*l) + 0*l**3 - l**4 + 0*l**3)*(2 - 1 - 2).
5*l**4
Expand (4*r + 3*r - r)*(0 + 0 - r) - 3*r**2 - r**2 + 5*r**2.
-5*r**2
Expand -3*p**2 + p**2 + 0*p**2 + (7*p + 11*p + 6*p)*(-5*p + 3*p + 0*p).
-50*p**2
Expand (-5*l**2 + 16*l**2 + 3*l**2)*(1 + 6 - 3).
56*l**2
Expand (-2*f**2 - 3*f**2 + f**2)*(8*f**3 - 8*f**3 + 2*f + 2 + 5*f**3).
-20*f**5 - 8*f**3 - 8*f**2
Expand (-2*n + 2*n + 4*n)*(2*n**3 + 0*n**3 + 0*n**3).
8*n**4
Expand (-5*o + o - 6*o)*(4 - 1 + 0).
-30*o
Expand (2*i - 3*i + 0*i)*(0 + 0 + 2) - 2*i + 10*i + 9*i.
15*i
Expand (-2*b**2 - 2*b + 2*b)*((0 + b + 0)*(0 - 1 + 2) + 2*b + 0*b + 0*b - 3*b + 0*b + 4*b).
-8*b**3
Expand (4*f + 3*f - 5*f)*(0 - 13 + 23)*(-2 - 1 + 7).
80*f
Expand (c - c - c)*(-1 + 3 - 3)*(-2 - 1 + 5).
2*c
Expand (0*q + q - 2*q)*(4 - 5 + 4) + (4*q + 2 - 2)*(-3 + 2 + 3).
5*q
Expand 3*a**3 - 2*a**5 - 3*a**3 - a**4 + a**4 + 2*a**5 + (-2 + 2 - a**2)*(3*a**3 - a**3 + 0*a**3) - a**5 + 2*a**5 + 0*a**5 - 5*a**4 + 13*a**4 + 3*a**5 - 9*a**4.
2*a**5 - a**4
Expand (-2 - 3 + 1)*(6*q - 2*q + 2*q)*(0 + 1 + 0).
-24*q
Expand f**4 - 2*f**4 + 2*f**4 - 6*f**4 + 3*f**4 + 2*f**4 + 3*f**4 - 2*f**4 + f**4 + (0 + 0 - 3*f**2)*(2*f**2 + 1 - 1) - 2*f**3 - 2*f**4 + 2*f**3.
-6*f**4
Expand (z**2 - 2*z**2 + 3*z**2)*(-7*z**2 + 14*z**2 + 4*z**2).
22*z**4
Expand -27*m - 2*m**2 + 24*m + 3*m**2 - m**2 + 2*m**2 - 2*m**2 + (5*m + m - 4*m)*(3*m - m - 4*m) - m**2 - 2*m + 2*m.
-5*m**2 - 3*m
Expand 70*y + 14*y**2 - 70*y + (-1 + 0 + 2)*(y**2 - 3*y**2 + 4*y**2).
16*y**2
Expand 12*o**3 + 6*o**3 - 3*o**3 + (-1 + 1 + o)*(2*o**2 - 1 + 1) + 2*o**3 + o**3 - 4*o**3.
16*o**3
Expand (d**3 - d**4 - 8*d + 8*d)*(-4 + 0 + 3) + (-2*d**3 - d**3 + 5*d**3)*(3 - 3 - 2*d).
-3*d**4 - d**3
Expand (-1 + 2 + 1)*(-10 - 1 + 0)*(-2*a - 3*a + 4*a).
22*a
Expand (-33*m + 9*m + 3*m)*(2 + 2*m - 2 + (2*m - m + m)*(-1 + 2 + 1) - m + 2*m - 3*m).
-84*m**2
Expand 4*c - 4*c**2 - 4*c + (2*c**2 + 0*c + 0*c)*(-2 - 2 + 6) - 3*c**2 + 5*c**2 - c**2 - 3*c + 2*c**2 + 3*c + c**2 - 3*c**2 + 3*c**2 + 0*c**2 + 3*c**2 + 0*c**2.
7*c**2
Expand (0 + 0 + 2*a**2)*(a - 6*a + 4*a)*(0 + 3 + 3) + (4*a**2 - 4*a**2 - a**2)*(0 + 0 + 2*a).
-14*a**3
Expand (11*z**2 + 12*z**2 - 21*z**2)*(0*z + 0*z + z**2).
2*z**4
Expand (-3 - k + 3)*(-7 - 5 + 4 + (2 - 2 + 2)*(0 - 2 + 3)).
6*k
Expand (-6*w**4 - 6*w**4 + 6*w**4)*(2*w + 2 - 2) + (-4 + 4 + 2*w**3)*(w**2 + w - w) + w**5 - 2*w**5 + 0*w**5.
-11*w**5
Expand (-y**2 + 3 + 0*y**2 - 4*y + y)*(27 + 2*y - 27).
-2*y**3 - 6*y**2 + 6*y
Expand (0 + 2 + 0 + (-1 + 2 - 4)*(-2 + 2 + 1))*(-3 + r + 3).
-r
Expand (-g + g - g**2)*(0*g**2 + 0*g**2 - 2*g**3).
2*g**5
Expand (-2*q + 2 - 2)*(-2 + 2 + q) + 10*q**2 + 12*q**2 - 10*q**2.
10*q**2
Expand (x + 5*x - 4*x)*(0 - x**2 + 0)*(2*x - 4*x - x).
6*x**4
Expand (2*y - y - 3*y)*(5*y**4 - 4*y**4 + y**4) + (-y + y + 2*y**3)*(8*y**2 - 7*y**2 + 0*y**2).
-2*y**5
Expand -2*a**4 + 1 - 1 + (-2*a + 3*a - 3*a)*(-4*a**3 + 3*a**3 + 2*a**3) + (a + 0*a + 0*a)*(-2*a**3 + 0*a**3 + 0*a**3).
-6*a**4
Expand (10 - 2*b + 2*b**3 - 10)*(3 + 0 - 5).
-4*b**3 + 4*b
Expand (-20 - 16 + 23)*(0 + 4 - 2)*(3*w**2 - 3*w**2 - w**3).
26*w**3
Expand (-1 + 1 + b)*(b**3 + 17*b - 17*b) - 2*b**4 - 1 + 1.
-b**4
Expand (1 + 1 - 1)*(2*d**4 - 3*d**2 + 3*d**2) + 2*d - 2*d + 2*d**4 - d**4 - d**4 + d**4 + (4*d - 4*d + 2*d**2)*(-2*d**2 + 5*d**2 - 5*d**2).
-d**4
Expand (-5*m + 6*m - 22 - 3*m)*(-4*m - m + 3*m).
4*m**2 + 44*m
Expand (3 - 3 + 12*g)*(-4 - 3 + 0).
-84*g
Expand (3*s - 2*s + 0*s)*(2*s - 4*s + 0*s) - 4 + 4 - 3*s**2 - 2*s**2 - 2*s + 2*s.
-7*s**2
Expand (-1 + 2 - 2)*(3*h - h - 3*h + (0 + 4 - 2)*(-2*h + 3*h - 3*h)).
5*h
Expand -2*t + t**4 + 2*t + (t**4 + 2*t**4 - t**4)*(1 - 6 - 3).
-15*t**4
Expand (-2 - 2 + 2)*(0*x - x - 2*x).
6*x
Expand (-2*v + 2*v + 2*v)*(-1 + 2 + 5 + (3 - 2 - 2)*(-2 + 2 + 2) + 1 - 1 - 3).
2*v
Expand 82*w**3 + 10*w**5 - 83*w**3 + 14*w**5 + (3*w**4 + w**4 - 3*w**4)*(-4*w + 6*w - 4*w) + 0*w - w**5 + 0*w + 0 + 2*w**5 + 0.
23*w**5 - w**3
Expand (0 - 1 + 3)*(2 - 2 - 2*x) - 1 - 2*x + 1 - x - 44 + 44.
-7*x
Expand (0*r**2 - 3*r**2 + 2*r**2)*(2 - 4 + 0)*(-11*r + 5*r**2 + 11*r).
10*r**4
Expand (-5*o**2 + 3*o**2 + 4*o**2)*(-o + 22*o**2 - 4*o**2 - 7*o**2).
22*o**4 - 2*o**3
Expand (0 - 3 + 5)*(1 + 2 - 5)*(i**2 - 21*i**2 - 26*i**2).
184*i**2
Expand (2*v + 5*v + v)*(v**2 - 2*v**2 + 0*v**2) - 2*v + 2*v + 2*v**3 - 5*v + 5*v - 2*v**3.
-8*v**3
Expand (-1 + 1 + 3*s)*(0*s**3 - s**3 + 4*s* | {
"pile_set_name": "DM Mathematics"
} |
2). Let w = x + 17. Is 8 a factor of r(w)?
True
Let z be 0/1 - 11*-8. Let n be 0 + (-174)/(6 + -3). Let r = z + n. Is 15 a factor of r?
True
Let l be (-109)/(-5) + 4/20. Is 12 a factor of l - 0*(1 - 0)?
False
Let f = -227 - -330. Does 34 divide f?
False
Let v = 0 - 3. Let f = v + 18. Does 8 divide f?
False
Suppose r = -3*r - 16. Does 30 divide (-1 + -7)*30/r?
True
Suppose -5*i = -2*i - 120. Is 10 a factor of (-1 - -19)*i/24?
True
Suppose -136 - 11 = -3*j. Is 6 a factor of j?
False
Let k(o) = 2*o**2 + 4*o + 2. Let j be k(-2). Suppose -j*w + 4*w = -26. Let b = w + 19. Is 6 a factor of b?
True
Let r = -5 - -14. Does 9 divide r?
True
Suppose -2*r = d - 357, -2*r = -3*r + 3*d + 161. Does 22 divide r?
True
Let r = -325 - -531. Is 23 a factor of r/3 + (-1)/(-3)?
True
Let d(h) = -h**2 - 7*h - 7. Let y be d(-5). Suppose -4*j + 33 = -5*o, y*j = -3*o - 5 + 23. Does 7 divide j?
True
Let n = 123 - 42. Is n a multiple of 8?
False
Let r be 8 + (2 - (-12)/(-4)). Suppose 0 = -2*x - r + 43. Is 12 a factor of x?
False
Is 9 a factor of (-8)/(-28) + 250/7?
True
Suppose -6*y + 41 = -19. Is 2 a factor of y?
True
Suppose 3*b - 3 = 3. Does 4 divide (-11*1)/(b/(-2))?
False
Let v = -24 - -56. Is 8 a factor of v?
True
Suppose 0 = w - 3*w + 66. Is 33 a factor of w?
True
Let g = -4 - -7. Suppose -i - 5*t = -g*t - 13, 28 = 4*i - 4*t. Does 8 divide i?
False
Suppose 10 + 5 = -5*w. Let t = 2 + w. Is 0*(t - 0) - -24 a multiple of 24?
True
Let d(c) = 5*c**2. Let h be d(5). Suppose 2*b + 10 = 0, 7*l = 2*l + 3*b + h. Is l a multiple of 8?
False
Suppose 0 = 6*m - 677 + 149. Is m a multiple of 22?
True
Let q = -12 + 8. Let y be 2/q + (-182)/(-4). Does 6 divide ((-4)/10)/((-1)/y)?
True
Does 3 divide ((-2)/6)/(8/(-96))?
False
Suppose 140 = 5*u - 2*i, -u + 28 = -2*i + 3*i. Does 14 divide u?
True
Let t = 129 + -43. Is t a multiple of 4?
False
Let r = 10 - 6. Suppose 0 = j - 3*d - 17 - 16, -r*j = -4*d - 116. Does 11 divide j?
False
Let x be (20/(-6))/5*18. Does 6 divide 1/(x/14 + 1)?
False
Let a(f) = -143*f - 1. Let n be a(1). Is (n/40)/((-2)/10) a multiple of 9?
True
Suppose 0*i = -9*i + 189. Is 19 a factor of i?
False
Let z(a) = -3*a + 5. Let u(q) = 5*q**3 - 2*q**2 - 4*q**3 + 2 - q**2 - q. Let o be u(2). Is 17 a factor of z(o)?
True
Let v(i) = i**3 + 5*i**2 - 9*i - 12. Let p be v(-6). Suppose 0 = 3*f + 7*k - 4*k - 45, 0 = -3*f + 4*k + 17. Let y = f - p. Is 2 a factor of y?
False
Let k(q) = 18*q - 4. Is k(3) a multiple of 9?
False
Suppose a + a = 5*n - 703, -5*n + 707 = 2*a. Is 40 a factor of n?
False
Let k be 2 + (-6)/4*2. Is 18/(-4)*(k - 5) a multiple of 11?
False
Suppose -2*a + 96 = 2*a + 5*r, 0 = 3*a - r - 72. Suppose -2*g = -3*g + a. Is 12 a factor of g?
True
Let v(t) = -7*t**2 + 7*t + 7. Let k(f) = -6*f**2 + 7*f + 6. Let b(g) = -6*k(g) + 5*v(g). Does 4 divide b(9)?
False
Let o(d) = d**2 + 8*d + 64. Is 17 a factor of o(-10)?
False
Let d(z) = z + 5. Let g(q) = -2*q - 10. Let o(f) = 5*d(f) + 2*g(f). Suppose 3 = 5*y + 2*j - 20, 2*j + 17 = 3*y. Is 10 a factor of o(y)?
True
Suppose 3*d - 2*r - 2 = -1, 3*d + 3*r = -24. Let b be (-2)/(-2 - d)*-1. Let z(o) = 26*o - 1. Is z(b) a multiple of 14?
False
Suppose 3*u + 12 = 0, -3*w - w - u = 136. Let f = 2 - w. Is f a multiple of 11?
False
Suppose d = -d + 3*l + 119, 2*l - 307 = -5*d. Let f = -19 + d. Is f a multiple of 11?
False
Let p = 102 + -24. Does 26 divide p?
True
Suppose n = -a + 2*n + 39, 4*n = 5*a - 195. Is a a multiple of 13?
True
Suppose 2*i - f = 83, 5*i - 5*f = -0*f + 200. Is 13 a factor of i?
False
Let h = 17 - -22. Is 24 a factor of h?
False
Let r(j) be the first derivative of -j**3/3 + j**2 - j + 2. Let q be r(2). Is 3 a factor of (q - (-8)/5)*5?
True
Let p(g) = g**3 - g**2 - g + 71. Is p(0) a multiple of 20?
False
Suppose -5*w + 7*w - 8 = 0. Suppose -3*l - 2*l = -2*u + 46, -68 = -4*u + w*l. Does 3 divide u?
False
Let w(r) = -r**2 + 12*r - 15. Let a be w(13). Let u = a - -42. Does 14 divide u?
True
Suppose -22*x + 20*x + 96 = 0. Is 16 a factor of x?
True
Does 10 divide 2 - ((1 - -4) + -28)?
False
Suppose p = -5*d + 13 + 22, 0 = -5*p + d + 253. Is 10 a factor of p?
True
Suppose -3*f = 5*s - 0*f - 56, 5*s = -5*f + 60. Is 10 a factor of s?
True
Let v = 160 + 17. Is v a multiple of 36?
False
Suppose 120 = 4*y + 3*x, -2 = -x + 2. Suppose 9 + y = 3*q. Is q a multiple of 12?
True
Suppose 0*m - 18 = 3*m. Let p be 2/(m/3)*-3. Suppose p*w = 15, 2*j - 2*w = -2*j + 102. Is 14 a factor of j?
True
Suppose -3*p = p + 2*t - 94, 3*p + t = 71. Does 4 divide p?
True
Suppose 5*v - 247 = 4*d, -4*v + 0*d = -5*d - 203. Suppose -3*y + v = -10. Is y a multiple of 7?
False
Let n = 81 + -47. Is n a multiple of 22?
False
Let g(y) = 3*y**2 - 2. Suppose 4*v + 2*m - 28 = 0, -2*m = 5*v - 25 - 9. Let w = v + -2. Is 17 a factor of g(w)?
False
Let m = 0 + -1. Let u(j) = j + 1. Let c be u(m). Suppose c = -4*r + 48 + 48. Is r a multiple of 7?
False
Let z be (-4)/(-5)*10/4. Suppose -4*u + 26 = z*h, 0 = -2*h + 2*u - 5 + 37. Is h a multiple of 10?
False
Let q(u) = 155*u**3 + u**2. Does 39 divide q(1)?
True
Suppose 6*b = 3*b + 9. Suppose -b = p - 23. Is 14 a factor of p?
False
Let t(g) = -6*g - 2. Let l be t(-2). Does 7 divide 136/l + 4/10?
True
Suppose k + 5*n - 18 = 0, -n + 19 = 2*k - 17. Let q = k + 24. Does 15 divide q?
False
Let r(n) be the second derivative of 17*n**4/12 + n**3/2 + 5*n. Is 13 a factor of r(-2)?
False
Suppose 0 = -i + 6*i. Suppose -c - 2*j = 8, -5*c + i*j = 4*j + 70. Let r = c - -33. Does 15 divide r?
True
Suppose 0 = 2*a - 0*a - 64. Suppose -5*z + 0*z - 2*u + 25 = 0, a = z - 5*u. Is 5 a factor of z?
False
Suppose -g + 5 = 2*i, -4*i - 5*g + 13 = -0*i. Suppose 0*b - 2*b = -5*a + 2, 2*a + i*b + 2 = 0. Suppose -4*z = -a*z - 48. Does 12 divide z?
True
Let z(a) = -37*a**3 - 2*a**2 - 2*a - 1. Let f be z(-1). Suppose -f = -8*j + 5*j. Does 6 divide j?
True
Suppose 0 = -3*g + 6, -4*n - g + 3*g + 4 = 0. Suppose 22 - n = -o. Does 8 divide (-5)/1*64/o?
True
Suppose -a + 0 - 1 = 0. Let z(y) = y + 1. Let i be z(a). Suppose -48 = -2*j - i*j. Is 24 a factor of j?
True
Let s(d) = -d**2 + 27*d - 39. Does 3 divide s(18)?
True
Let s(d) = -d**3 + 12*d**2 + 15*d + 18. Let p be s(13). Let a = p + -15. Is a a multiple of 9?
False
Let t(o) = -2*o**3 - 4*o**2 - 3*o - 1. Let v be t(-2). Suppose -5*z - v*w = 0, 0*z - 6 = 2*z + 4*w. Suppose 67 = z*x - 41. Is 18 a factor of x?
True
Let k(c) = c**2 + 5*c + 6. Let x be k(-5). Let n = -1 + x. Suppose 10*i = -5*w + 5*i + n, w - i - 9 = 0. Is 3 a factor of w?
False
Let l(i) = -i + 5. Let r be l(8). Let s = 5 + r. Suppose y = 0, 3*y + 78 = s*k + 6*y. Is 13 a factor of k?
True
Suppose -3*h = f - 22, -3*h - 2*f + 3*f + 14 = 0. Suppose -2*i + 179 - h = 3*s, 0 = s - i - 56. Is 20 a factor of s?
False
Suppose 220 = 5*u + f - 3*f, -u = -5*f - 21. Does 14 divide u?
False
Let c = -13 + 10. Let v = c + 5. Is 450/27 - v/3 a multiple of 16?
True
Let i = 26 - 45. Let l = 9 + i. Is 7 a factor of 4/l + 148/20?
True
Suppose -5*l + 211 = 2*w - 0*w, 5*w - 4*l - 577 = 0. Suppose o + 37 = h, h - 4*h + 2*o + w = 0. Suppose n - h = -12. Is 10 a factor of n?
False
Suppose 2*c + o + 199 = 6*c, 12 = -4*o. Is c a multiple of 17?
False
Let u(b) = b**3 + 9*b**2 + 11*b + 7. Is u(-5) a multiple of 13?
True
Suppose -y + 126 = -4*y. Let g be ((-3)/9)/(1/y). Suppose -z + 27 = -g. Does 19 divide z?
False
Let l = 0 + 3. Suppose l*k - 33 + 146 = 4*c, -180 = -5*c - 4*k. Does 16 divide c?
True
Let p(h) = h**3 + h**2 - 4*h + 4. Let b be p(5). Let w = b + -56. Suppose 3*c - c = w. Is 15 a factor of c?
False
Let j be (-3)/(-3)*-1*1. Is 13 a factor of (34/(-5))/(j/5)?
False
Let q(y) = 2*y**2 + 1. Let x be q(2). Suppose 0 = 3*n + 2*j - 2 + 3, 5*n = -j + 10. Suppose -4*d + 38 = n*o + x, -18 = -2*o - 3*d. Does 6 divide o?
False
Suppose 12 = 7*b - 3*b. Let f = 7 - b. Is f a multiple of 4?
True
Let t = -3 + 6. Is 2 a factor of t/1 - (-2 + 1)?
True
Let p(z) = -z**2 + 9*z - 8. Let u(s) = s**3 + 6*s**2 + 4*s + 1. Let c be u(-5). Does 5 divide p(c)?
True
Suppose -w = 3*z - 16, -3*z + z + 12 = 2*w. Let r be 1*1/w + 11. Suppose -4*p + r = -3*p. Is p a multiple of 8?
False
Let r = 14 - 9. Suppose 0 = -v - 2*j, 0*j - 33 = -3*v + r*j. Let a(w) = -w**2 + 8*w + 5. Is a(v) a multiple of 17?
True
Let k(z) = z - 4. Let s be k(4). Suppose 3*i + 2*x = 484, -i + 4*x + 134 + 32 = s. Does 6 | {
"pile_set_name": "DM Mathematics"
} |
t(10))**2 - (-1*(sqrt(28) + sqrt(7)))**2).
sqrt(7) + 33
Simplify sqrt(13) + sqrt(208)*-3 + (sqrt(104)/(sqrt(8)*3))**2 + (sqrt(117)/sqrt(12))/(sqrt(33)/(sqrt(99) + sqrt(11))).
-9*sqrt(13) + 13/9
Simplify ((sqrt(153) - sqrt(153)*-1*-4) + 0 + (sqrt(153)*-1)**2*-1 + 5 + -1 + sqrt(153))*5.
-745 - 30*sqrt(17)
Simplify (((sqrt(105)/sqrt(3))/sqrt(7) + sqrt(5))*3 + (sqrt(50)/sqrt(40) - (sqrt(500) - (sqrt(500) - 1*sqrt(500)) - sqrt(500))))**2.
845/4
Simplify (-5 + 6*(2*(sqrt(1900) - (2 + sqrt(1900) + sqrt(1900))) + -1 + sqrt(1900)*3))**2.
-4200*sqrt(19) + 69625
Simplify sqrt(171) + 2 + 0 - (-1 + -1 + -2*sqrt(19)).
4 + 5*sqrt(19)
Simplify -3*((0 + sqrt(11)*1)**2 + (sqrt(77) + sqrt(77)*-2)/sqrt(7)) + 4.
-29 + 3*sqrt(11)
Simplify -1 + (-1*(sqrt(171)*-2 + sqrt(171) - sqrt(171) - sqrt(171)) + sqrt(171))/(sqrt(729)*2 - sqrt(729)).
-1 + 4*sqrt(19)/9
Simplify 1 + 5 + 4*sqrt(99)*2.
6 + 24*sqrt(11)
Simplify -2 + (sqrt(245) + sqrt(245) + 1)*6 + 5.
9 + 84*sqrt(5)
Simplify 3*((sqrt(200) - (-3 + sqrt(200))*-2)*-4)**2.
-17280*sqrt(2) + 88128
Simplify 1*((0 + sqrt(20)/sqrt(4))**2 + 1) - (-3 + (1 + sqrt(125) + 2)**2).
-125 - 30*sqrt(5)
Simplify 5*(2 + (-2 + sqrt(832) + sqrt(832))**2*2 + -2 + 4).
-640*sqrt(13) + 33340
Simplify (sqrt(1088) - (sqrt(1088) + -1))**2*-6 - (-6*(sqrt(170) + sqrt(170)*3))/sqrt(10).
-6 + 24*sqrt(17)
Simplify 5*(2*(sqrt(325) + sqrt(325) + -6*sqrt(325)*5))**2.
5096000
Simplify 4*((-1*sqrt(175)*3*4)**2 + 4).
100816
Simplify 6*(-4 + sqrt(3)*2*-1 + sqrt(96)/sqrt(8))**2.
96
Simplify ((sqrt(567) - sqrt(567)*1)*6 - -2*((sqrt(63))**2 + -3))*-6*-6.
4320
Simplify 6*sqrt(70)/(-1*sqrt(10)) + (sqrt(63)/(sqrt(9) - (sqrt(9) - 1*sqrt(9))) - sqrt(378)/sqrt(6)) + 2.
-8*sqrt(7) + 2
Simplify ((2*((sqrt(98) - (-2 + sqrt(98) + 2) - sqrt(98)) + sqrt(98)) + -4)*-4)**2.
256
Simplify (2*-2*sqrt(130) + sqrt(130) + 6*(sqrt(130) - -2*sqrt(130)))/(sqrt(1000) + sqrt(1000)*2*3).
3*sqrt(13)/14
Simplify (1*(sqrt(153) + 0 + -1*sqrt(153))*2*2)**2.
0
Simplify 3 + (sqrt(150)/sqrt(5))/sqrt(6) + -5 - 1*-6*(2 + sqrt(25)/sqrt(5)).
10 + 7*sqrt(5)
Simplify (sqrt(176)*5 + sqrt(176))/(sqrt(28)/(sqrt(7)*2) - sqrt(4)).
-24*sqrt(11)
Simplify (-4 + sqrt(468)*2*-3 + sqrt(468) + sqrt(468)*2 + -4)**2.
288*sqrt(13) + 4276
Simplify ((sqrt(72) - 2*(sqrt(72)*1 + sqrt(72))) + (-6*(sqrt(72)*1 - sqrt(72)) - sqrt(72)))**2.
1152
Simplify -5 + -1*(0 + -6*(sqrt(11) + sqrt(176) + 1)**2).
60*sqrt(11) + 1651
Simplify 5*((-2*sqrt(18))/sqrt(9) - (sqrt(2) - (1*sqrt(24))/sqrt(12)))*-4*1.
40*sqrt(2)
Simplify sqrt(76) + ((sqrt(76) + 0)*-5)**2 + sqrt(76) + (sqrt(76) - (sqrt(76)*-1 + 0))**2 + -3*sqrt(190)/(1*sqrt(160) + sqrt(160)).
29*sqrt(19)/8 + 2204
Simplify (0 + (sqrt(1100) + 0 - ((sqrt(396)*2)**2 + sqrt(44))))*2.
-3168 + 16*sqrt(11)
Simplify (5*sqrt(30)/(sqrt(250) + (sqrt(250) - sqrt(250)*-1 - sqrt(250)))*4*-1)**2.
12
Simplify (-6*(sqrt(33) - sqrt(2112)*3))/((sqrt(132) - sqrt(33))/sqrt(3) + sqrt(11) + -2*(sqrt(11) + (sqrt(11) - (sqrt(22)/sqrt(2) + sqrt(11))))).
69*sqrt(3)
Simplify ((-3*3*sqrt(225))/sqrt(9))/((-1*sqrt(30))/sqrt(6) - 2*(sqrt(80) + sqrt(5))).
9*sqrt(5)/11
Simplify -2 + (2*sqrt(847) + sqrt(63) + -5)*2 + -1 + 3.
-10 + 50*sqrt(7)
Simplify -3*sqrt(15)/sqrt(5) + ((sqrt(3) + -1)*-3)**2 - -5*sqrt(27)/(sqrt(45)/sqrt(5)).
-16*sqrt(3) + 36
Simplify sqrt(245) + (sqrt(245) + -1*sqrt(245) + sqrt(245))**2 + sqrt(245) + 4 + -1 + sqrt(45) + -1*(sqrt(5)*2)**2.
17*sqrt(5) + 228
Simplify ((sqrt(1539) + 0 + 2)*3)**2*1 + -5.
324*sqrt(19) + 13882
Simplify (-2 + 2 + -2 + (sqrt(1872) - (5*sqrt(1872) + 5)))**2.
672*sqrt(13) + 30001
Simplify (-2*sqrt(275))**2 + -3*(1*sqrt(11))**2 + (sqrt(891) + -3*sqrt(891) + -3 - sqrt(891))**2.
162*sqrt(11) + 9095
Simplify (-1*(-1*sqrt(425) + -3 + 3))**2.
425
Simplify -3*(1*sqrt(6)*-3)/(sqrt(12)/(-2*sqrt(6) - sqrt(6))).
-27*sqrt(3)
Simplify ((-3*((1 + sqrt(363) - sqrt(363) - sqrt(363))*2 + -1 + sqrt(363) + (2*sqrt(363) - sqrt(363))))**2 + 2)*-2.
-22
Simplify ((sqrt(1280) - -3*sqrt(1280)*-1) + 1)**2.
-64*sqrt(5) + 5121
Simplify (sqrt(200) + 1 + sqrt(200) + -3 - sqrt(200))**2 - (-5 + (sqrt(2) + -1 - sqrt(2)) - (sqrt(4)/sqrt(2) + 2)).
-39*sqrt(2) + 212
Simplify (2*sqrt(432))**2 - sqrt(240)/(sqrt(25)/sqrt(5)).
-4*sqrt(3) + 1728
Simplify (sqrt(72)*-3*4)/(-1*sqrt(81)*-2).
-4*sqrt(2)
Simplify 6*(5 + (-2 + -4 + (sqrt(192)*2 - sqrt(192)))**2).
-576*sqrt(3) + 1398
Simplify ((0 + sqrt(17) + sqrt(68) - sqrt(17))*3 + (sqrt(17) + 0 + -3)*-5)**2 + -4.
30*sqrt(17) + 238
Simplify (-3*sqrt(216)/sqrt(9) - sqrt(24))/(sqrt(72)/sqrt(6)*-4).
sqrt(2)
Simplify 0 + 4 + (sqrt(1377) - (-2 + sqrt(1377))) + -3 + sqrt(1377)*-2 + sqrt(1377).
-9*sqrt(17) + 3
Simplify -3 + sqrt(847) + -1 - (sqrt(847)*3 + -3).
-22*sqrt(7) - 1
Simplify (sqrt(2904)*3)/(4*sqrt(6)/sqrt(2)).
33*sqrt(2)/2
Simplify 2*((sqrt(224) + sqrt(14))/sqrt(2))**2 + (5 + 1*sqrt(175))**2.
50*sqrt(7) + 550
Simplify ((sqrt(72) + 3*sqrt(72) + -4)**2 + -1)*1.
-192*sqrt(2) + 1167
Simplify 2 + (2*(sqrt(12) - -3*sqrt(48)/sqrt(4)))/(sqrt(44)/(sqrt(176)*1)).
2 + 32*sqrt(3)
Simplify -2*(sqrt(833) + -2*sqrt(833))**2 - (-4*sqrt(204)/(sqrt(300) + sqrt(12)))**2.
-15062/9
Simplify 4*(sqrt(243)*-2)**2*-5 + (sqrt(3) + sqrt(15)/sqrt(45) + -4)*6.
-19464 + 8*sqrt(3)
Simplify -2 + sqrt(245)*-3*-1 + -5.
-7 + 21*sqrt(5)
Simplify (2*1*(sqrt(432) + 1) + -1 + 1)**2.
96*sqrt(3) + 1732
Simplify 5*((sqrt(11) - sqrt(44)/sqrt(4))**2*-5 + sqrt(11) + 2 + 2*sqrt(11)*-4*-3 + -5).
-15 + 125*sqrt(11)
Simplify (-3*((sqrt(2299) - (sqrt(2299) + -5)*-2) + 2)*2)**2.
-19008*sqrt(19) + 747180
Simplify -5 + (sqrt(832) - 4*(sqrt(832) + sqrt(832) + -2)**2) - (-3 + (1 + sqrt(832))**2 + (3*(-1 + sqrt(832) - sqrt(832)))**2).
-14172 + 248*sqrt(13)
Simplify (sqrt(24) + -2*sqrt(216) + sqrt(216))/(-6*sqrt(12)*4).
sqrt(2)/12
Simplify -2*(sqrt(2) - sqrt(14)/sqrt(7)*4)**2 + -2 + -5*(sqrt(2) - (sqrt(2) + sqrt(10)/sqrt(5) + sqrt(2))).
-38 + 10*sqrt(2)
Simplify ((sqrt(1300)*1 + -3 - sqrt(1300)*2*6) + 2)**2*-6.
-943806 - 1320*sqrt(13)
Simplify (sqrt(432) + -2 - sqrt(432))**2 + 5 - 4*(sqrt(3) - sqrt(27))*2.
9 + 16*sqrt(3)
Simplify (3*-2*sqrt(99) + (sqrt(99) - (sqrt(99) - ((-5*(sqrt(99) + -1*sqrt(99)) - sqrt(99)) + sqrt(99)))))/(sqrt(729)*-1*-6).
-sqrt(11)/9
Simplify (-5 + sqrt(162) + -1 + 5)**2 - (1 + sqrt(162) + 4 - sqrt(162))**2*-3.
-18*sqrt(2) + 238
Simplify ((-1*sqrt(3240))/(sqrt(8) - (sqrt(648)*-5 + sqrt(648))))**2.
405/1369
Simplify (sqrt(19)*-2*4 - (0 + sqrt(2299)))**2 + ((1*sqrt(1539))**2 + -5 - (-4 + 0 + sqrt(1539) + sqrt(1539))**2).
144*sqrt(19) + 2221
Simplify (-2*3*sqrt(150))/((sqrt(36)*2)/sqrt(12) - sqrt(3) - (sqrt(3) - sqrt(12))*4).
-6*sqrt(2)
Simplify (3*(sqrt(2) + -1) + -3)**2 + (6*-2*sqrt(16)/sqrt(8))**2.
-36*sqrt(2) + 342
Simplify ((sqrt(325) + -3*sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325) + 3 + ((sqrt(13) - sqrt(39)/sqrt(3)) + 0)*1)**2.
-30*sqrt(13) + 334
Simplify (-1*((sqrt(108) + sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + 3 - sqrt(108))))*-1 - sqrt(108))*-1)**2.
-180*sqrt(3) + 2709
Simplify ((sqrt(1125) + sqrt(45))*3 + sqrt(45) + (sqrt(1125) - (sqrt(1125) + sqrt(1125)*-1)) + sqrt(1125) + sqrt(1125))/(5*2*sqrt(900)).
17*sqrt(5)/50
Simplify (-5 + sqrt(208) + 1)**2 + sqrt(130)/(sqrt(50)/(sqrt(5) + sqrt(5) + 1*sqrt(5))) + -4.
-29*sqrt(13) + 220
Simplify ((sqrt(110) + -3*sqrt(110))*-6 - sqrt(110))/(sqrt(10) - (sqrt(20)/sqrt(32) - sqrt(10))) + 5.
5 + 44*sqrt(11)/7
Simplify -3*(sqrt(68) - (((sqrt(68) - (sqrt(68) - (-1 + sqrt(68))))*6)**2 - sqrt(68)) - (((0 + sqrt(68))*-6)**2 + sqrt(68)))*-5.
-73980 + 2190*sqrt(17)
Simplify (((2*sqrt(84) - sqrt(84)) + sqrt(84))*-1)/(sqrt(84)/sqrt(7)*2).
-sqrt(7)
Simplify ((sqrt(2662) - sqrt(2662)*-1)*1)/(-5*sqrt(10)/(sqrt(20)/sqrt(4))).
-22*sqrt(11)/5
Simplify (2*(sqrt(76) - 2*sqrt(76))*6)/((-1*sqrt(1200) - sqrt(12))/sqrt(3)) + -3.
-3 + 12*sqrt(19)/11
Simplify ((sqrt(210)*-1)/sqrt(6) - (1*sqrt(350))/sqrt(10))/((sqrt(1701) + -3*sqrt(1701) - sqrt(1701))/sqrt(3)).
2*sqrt(5)/27
Simplify sqrt(5) + sqrt(10)/sqrt(2) + -4 + sqrt(720) + sqrt(720)*1 + sqrt(5) + 3*(sqrt(2695)*2)/sqrt(11).
-4 + 69*sqrt(5)
Simplify 5 + -3*((1 + sqrt(72) + 0 + sqrt(72))*1)**2 + 0.
-862 - 72*sqrt(2)
Simplify 2*(5 + (sqrt(36)/(sqrt(3) + sqrt(6)/sqrt(2) + sqrt(3) - sqrt(3)))/(1*sqrt(600)))**2 + 3.
sqrt(2) + 5301/100
Simplify (-6*(sqrt(136)*-2 - sqrt(136)) - (sqrt(136) - (sqrt(136) + sqrt(136)*2)) | {
"pile_set_name": "DM Mathematics"
} |
ger?
108
What is 17635 to the power of 1/2, to the nearest integer?
133
What is the third root of 4751 to the nearest integer?
17
What is the cube root of 5544 to the nearest integer?
18
What is the square root of 5401 to the nearest integer?
73
What is the third root of 4357 to the nearest integer?
16
What is the sixth root of 1150 to the nearest integer?
3
What is 46415 to the power of 1/5, to the nearest integer?
9
What is 18719 to the power of 1/7, to the nearest integer?
4
What is the third root of 32522 to the nearest integer?
32
What is 14399 to the power of 1/2, to the nearest integer?
120
What is the fourth root of 8199 to the nearest integer?
10
What is 5123 to the power of 1/10, to the nearest integer?
2
What is the square root of 3073 to the nearest integer?
55
What is the fifth root of 15798 to the nearest integer?
7
What is 56025 to the power of 1/7, to the nearest integer?
5
What is the square root of 2722 to the nearest integer?
52
What is the square root of 464 to the nearest integer?
22
What is the square root of 91377 to the nearest integer?
302
What is 6054 to the power of 1/9, to the nearest integer?
3
What is the square root of 10773 to the nearest integer?
104
What is the cube root of 1687 to the nearest integer?
12
What is the square root of 26894 to the nearest integer?
164
What is 35149 to the power of 1/2, to the nearest integer?
187
What is the ninth root of 27399 to the nearest integer?
3
What is the seventh root of 48721 to the nearest integer?
5
What is 1579 to the power of 1/5, to the nearest integer?
4
What is the third root of 798 to the nearest integer?
9
What is 237 to the power of 1/2, to the nearest integer?
15
What is 340 to the power of 1/3, to the nearest integer?
7
What is 1135 to the power of 1/2, to the nearest integer?
34
What is the third root of 37446 to the nearest integer?
33
What is 2717 to the power of 1/3, to the nearest integer?
14
What is 30335 to the power of 1/3, to the nearest integer?
31
What is the fifth root of 55058 to the nearest integer?
9
What is the cube root of 2138 to the nearest integer?
13
What is the cube root of 26084 to the nearest integer?
30
What is the eighth root of 164415 to the nearest integer?
4
What is 943 to the power of 1/2, to the nearest integer?
31
What is the third root of 8426 to the nearest integer?
20
What is the cube root of 550 to the nearest integer?
8
What is the third root of 136159 to the nearest integer?
51
What is the sixth root of 6352 to the nearest integer?
4
What is the square root of 2282 to the nearest integer?
48
What is the seventh root of 2556 to the nearest integer?
3
What is the square root of 902 to the nearest integer?
30
What is the third root of 53520 to the nearest integer?
38
What is 24638 to the power of 1/3, to the nearest integer?
29
What is the cube root of 6943 to the nearest integer?
19
What is 9114 to the power of 1/3, to the nearest integer?
21
What is the eighth root of 8717 to the nearest integer?
3
What is 1484 to the power of 1/8, to the nearest integer?
2
What is the tenth root of 1081 to the nearest integer?
2
What is the seventh root of 10187 to the nearest integer?
4
What is the square root of 673 to the nearest integer?
26
What is the square root of 6878 to the nearest integer?
83
What is 44234 to the power of 1/2, to the nearest integer?
210
What is 127010 to the power of 1/6, to the nearest integer?
7
What is the square root of 14251 to the nearest integer?
119
What is the square root of 609 to the nearest integer?
25
What is the square root of 1888 to the nearest integer?
43
What is the sixth root of 4322 to the nearest integer?
4
What is the cube root of 593 to the nearest integer?
8
What is the square root of 6834 to the nearest integer?
83
What is the fifth root of 898 to the nearest integer?
4
What is 39369 to the power of 1/3, to the nearest integer?
34
What is 6779 to the power of 1/3, to the nearest integer?
19
What is 3018 to the power of 1/3, to the nearest integer?
14
What is the square root of 2160 to the nearest integer?
46
What is the square root of 36500 to the nearest integer?
191
What is the tenth root of 1563 to the nearest integer?
2
What is the cube root of 11522 to the nearest integer?
23
What is 5229 to the power of 1/3, to the nearest integer?
17
What is the square root of 5240 to the nearest integer?
72
What is the fourth root of 14982 to the nearest integer?
11
What is the cube root of 49596 to the nearest integer?
37
What is 2177 to the power of 1/3, to the nearest integer?
13
What is the tenth root of 63755 to the nearest integer?
3
What is the cube root of 95262 to the nearest integer?
46
What is the eighth root of 26298 to the nearest integer?
4
What is the cube root of 587 to the nearest integer?
8
What is the fifth root of 37331 to the nearest integer?
8
What is the ninth root of 4856 to the nearest integer?
3
What is 2186 to the power of 1/2, to the nearest integer?
47
What is 11825 to the power of 1/2, to the nearest integer?
109
What is the third root of 16278 to the nearest integer?
25
What is the square root of 6141 to the nearest integer?
78
What is the cube root of 7282 to the nearest integer?
19
What is the square root of 7258 to the nearest integer?
85
What is 1471 to the power of 1/5, to the nearest integer?
4
What is the fourth root of 15375 to the nearest integer?
11
What is 91232 to the power of 1/4, to the nearest integer?
17
What is the cube root of 1530 to the nearest integer?
12
What is the tenth root of 2579 to the nearest integer?
2
What is the third root of 2271 to the nearest integer?
13
What is 1754 to the power of 1/3, to the nearest integer?
12
What is the fifth root of 6123 to the nearest integer?
6
What is the third root of 3783 to the nearest integer?
16
What is the square root of 87949 to the nearest integer?
297
What is the cube root of 2083 to the nearest integer?
13
What is the cube root of 669 to the nearest integer?
9
What is 5231 to the power of 1/2, to the nearest integer?
72
What is the square root of 348 to the nearest integer?
19
What is the eighth root of 15245 to the nearest integer?
3
What is the ninth root of 1258 to the nearest integer?
2
What is 94645 to the power of 1/8, to the nearest integer?
4
What is the cube root of 396 to the nearest integer?
7
What is 438 to the power of 1/2, to the nearest integer?
21
What is 19597 to the power of 1/8, to the nearest integer?
3
What is the ninth root of 67925 to the nearest integer?
3
What is the tenth root of 2410 to the nearest integer?
2
What is 1214 to the power of 1/3, to the nearest integer?
11
What is the third root of 1321 to the nearest integer?
11
What is the seventh root of 109127 to the nearest integer?
5
What is 14965 to the power of 1/3, to the nearest integer?
25
What is the tenth root of 2222 to the nearest integer?
2
What is 2190 to the power of 1/3, to the nearest integer?
13
What is the square root of 53783 to the nearest integer?
232
What is the third root of 3905 to the nearest integer?
16
What is the square root of 3415 to the nearest integer?
58
What is the seventh root of 8507 to the nearest integer?
4
What is the square root of 1603 to the nearest integer?
40
What is 5442 to the power of 1/2, to the nearest integer?
74
What is the cube root of 4132 to the nearest integer?
16
What is the third root of 301 to the nearest integer?
7
What is the seventh root of 24889 to the nearest integer?
4
What is 1746 to the power of 1/7, to the nearest integer?
3
What is 3714 to the power of 1/3, to the nearest integer?
15
What is the square root of 25789 to the nearest integer?
161
What is the third root of 11081 to the nearest integer?
22
What is the sixth root of 513 to the nearest integer?
3
What is 2170 to the power of 1/8, to the nearest integer?
3
What is 22713 to the power of 1/2, to the nearest integer?
151
What is 6606 to the power of 1/2, to the nearest integer?
81
What is the cube root of 1794 to the nearest integer?
12
What is the ninth root of 2547 to the nearest integer?
2
What is 13923 to the power of 1/4, to the nearest integer?
11
What is 100057 to the power of 1/2, to the nearest integer?
316
What is the eighth root of 11564 to the nearest integer?
3
What is the cu | {
"pile_set_name": "DM Mathematics"
} |
dps?
0.001
Let r = 66 + -7. Let t = -59.0000137 + r. What is t rounded to six dps?
-0.000014
Let n(c) = -c**3 - 9*c**2 + 10*c - 2. Let v be n(-10). Let f be (v - (-1 + 213499))*(-120)/14. What is f rounded to the nearest one hundred thousand?
1800000
Let n = -929260 + 929259.9030006. Let x = -0.097 - n. What is x rounded to 6 dps?
-0.000001
Suppose 0 = -2*m - 16511 + 4011. Let n be (m/3)/(3/16560). What is n rounded to the nearest 1000000?
-12000000
Let r = 308.1 - 308.00892. What is r rounded to 2 dps?
0.09
Let y = 6007396 + -17841396. Round y to the nearest one hundred thousand.
-11800000
Let w be 9/(-54) + 6862/(-12). Let k be (-1)/(-1 + w/(-570)). Let z = k - -855. Round z to the nearest one hundred.
600
Let n = -153.7 - -138. Let t = n + -0.3. Let q = t - -15.99999967. Round q to seven dps.
-0.0000003
Let p = -1419 - -1419.2246. Round p to 2 dps.
0.22
Let k = 411.00001668 + -411. Round k to 7 dps.
0.0000167
Suppose 15 = 3*i + 2*i. Let p = -36 + 38. Suppose 1957352 = -i*q + 4*m + 67356, -3*q + p*m = 1889998. Round q to the nearest one hundred thousand.
-600000
Let t = 14.4 - -62.6. Let f = t + -76.34. What is f rounded to 1 decimal place?
0.7
Let p = 1209 + -1208.999996156. Round p to seven dps.
0.0000038
Let i = -1750 - -1759.12. Let g = 22 + -13. Let x = g - i. Round x to 2 decimal places.
-0.12
Let k = 4747.5 - 4727.613. Let c = -0.213 - k. Round c to the nearest integer.
-20
Let u(c) = -4848*c**2 - 36*c + 74. Let h be u(2). What is h rounded to the nearest one thousand?
-19000
Let x = -9.7 + 9. Let o = x - -0.718. Round o to two dps.
0.02
Let n = 1358 + -1229.8. Round n to the nearest ten.
130
Let i be -3 - (1 - (-14 + 4)). Let x be (-304)/i + (-6)/(-21). Let k = x + -26. Round k to the nearest 10.
0
Let v = -152684 - -681684. Round v to the nearest 10000.
530000
Suppose 3*v - 82666689 = 17233419. Suppose -2*k - v = -5*k. Suppose 0 = p - 4*f + k, 3*f + 0*f = -4*p - 44399991. Round p to the nearest 1000000.
-11000000
Let t(i) = -425*i**2 - 1. Let b be t(-1). Suppose 638 + 272 = 35*y. Let v = y + b. What is v rounded to the nearest one thousand?
0
Let k = 19.1 - 19.10000048. What is k rounded to seven decimal places?
-0.0000005
Let r(p) = -p**3 - 9*p**2 + p + 1. Let i be r(-9). Let k be (-12)/i - (-8484)/8. Suppose -u - 38 = k. What is u rounded to the nearest one thousand?
-1000
Let v = -7564 + 7153.11. Let g = v - -409. What is g rounded to one decimal place?
-1.9
Let s = 1.2 - 1.32. Let a = 0.11976 + s. What is a rounded to 4 decimal places?
-0.0002
Suppose z + 27808 + 1664 = 0. Let p = z - -60272. What is p rounded to the nearest 1000?
31000
Let z = 110 - 110. Let x = z - -0.025. Round x to 2 decimal places.
0.03
Let i = -0.028 + 22.028. Let v = i - 23.42. Let h = -0.64 - v. Round h to 1 dp.
0.8
Let n = -6.822 + 0.022. Let o = n + -35.2. Let k = -41.9999963 - o. What is k rounded to 6 decimal places?
0.000004
Let x = -1.78 + 1.13. What is x rounded to the nearest integer?
-1
Let v = 8244993.00181 - 8244869. Let k = v - 124. What is k rounded to 4 dps?
0.0018
Let q = 0.0065544 + -0.007. What is q rounded to 5 dps?
-0.00045
Let j = -5647.51 - -5752. Let z = 105 - j. What is z rounded to 1 dp?
0.5
Let w = 23 - 55. Let r = 32.0000012 + w. What is r rounded to six decimal places?
0.000001
Let z(v) = -v - 2. Let o be z(-2). Suppose 4*d = 0, 5*a + 49524575 = -o*d - d. Let t = -6204915 - a. What is t rounded to the nearest one million?
4000000
Let b = 307358.5099 - 307338. Let t = 20.482 + 0.018. Let o = b - t. Round o to three decimal places.
0.01
Let d = 11.9361271 - 67.9361561. Let t = -0.86 + -55.14. Let c = t - d. What is c rounded to five dps?
0.00003
Let j = 2422426 - 2422431.019759. Let z = 5.02 + j. What is z rounded to four decimal places?
0.0002
Let n = 18.1 + -18.100566. What is n rounded to 4 decimal places?
-0.0006
Let a = 81.135 + 396.275. Let o = a - 671.3. Let p = 196 + o. What is p rounded to one dp?
2.1
Suppose 2*p + 5*m - 3*m - 5558926 = 0, -p = -m - 2779471. Suppose -p = -6*s + 11680533. What is s rounded to the nearest one hundred thousand?
2400000
Let k = -9.5 - -9.50000111. Round k to 7 decimal places.
0.0000011
Let j = -520.0181 + 520. Round j to 3 dps.
-0.018
Let z = -2.8 + 0.56. Let o = 49 - 46.9. Let y = z + o. What is y rounded to 1 dp?
-0.1
Let d be ((2 - -16) + -9)*(-520)/(-6). What is d rounded to the nearest 100?
800
Let b = -1.2 - 1.8. Let u = -14 - b. Let q = -11.72 - u. Round q to one decimal place.
-0.7
Let k = 0.185 - 4.945. Let i = k - -3.5. Let w = i + 0.04. What is w rounded to 1 decimal place?
-1.2
Let g = -16 + 28. Let m = g + -12.14. Let f = m + 0.78. Round f to 1 dp.
0.6
Let b = 3.0369 - 2.95. What is b rounded to two decimal places?
0.09
Let h = 1 - -5. Let q = h - 4. Suppose 0*y = -z + q*y + 1900006, -2*z - 5*y = -3799985. What is z rounded to the nearest one million?
2000000
Let b = 1415 + -1414.98742. Round b to 3 dps.
0.013
Let v = -270.2 + 297. What is v rounded to the nearest integer?
27
Let b(x) = -4896*x**2 - 4*x - 88. Let u be b(34). What is u rounded to the nearest one million?
-6000000
Let p = -72 + 67.44. Let y = 4.8 + p. Round y to 1 dp.
0.2
Suppose 0 = -2*o + 4*o - 39875646. Suppose 2*p + o + 1062177 = 0. Round p to the nearest one million.
-11000000
Let o = 746 + -745.9999391. Round o to 5 decimal places.
0.00006
Let j = 95.6 - 95.60904. Round j to four dps.
-0.009
Let u = 228 + -227.9598. What is u rounded to two decimal places?
0.04
Suppose -7*w + 4 = -5*w. Let a be (1/(-3))/(w/12). Let o(x) = 4400*x. Let s be o(a). Round s to the nearest one thousand.
-9000
Let t = 44 - 43.13. Round t to 1 dp.
0.9
Let u = 23.046 + -0.046. Let m = -22.91 + u. Let w = m + -0.08993. Round w to five decimal places.
0.00007
Let y = 36333.8648 - 36288.8921894. Let o = -53.027373 - y. Let l = o + 98. What is l rounded to six dps?
0.000016
Let l = 13.2833 + 0.0767. What is l rounded to the nearest integer?
13
Let a = -1.252 - -1.53. Let k = a - 0.09. Let y = -0.188157 + k. What is y rounded to five dps?
-0.00016
Let p = -15296 - -15622.624. Let x = p - 0.624. Let i = x + -325.9999797. Round i to 6 dps.
0.00002
Let m = -7432.00004269 - -7432. What is m rounded to six dps?
-0.000043
Let o = -22 - 4. Let v = 18 + o. Let m = -8.15 - v. Round m to two dps.
-0.15
Let t = -644242 + 644240.118223. Let y = t - -79.883327. Let l = 78 - y. Round l to 4 decimal places.
-0.0016
Let w = -28.75 - -1.75. Let v = 1549362681 + -1549362654.00000083. Let d = v + w. Round d to seven decimal places.
-0.0000008
Let k = 1.2662 - 121.2862. What is k rounded to the nearest 10?
-120
Let a = -60680.0166 + 60711. Let q = a + -31. What is q rounded to three dps?
-0.017
Let n = -6.1299396 + 6.13. What is n rounded to 5 decimal places?
0.00006
Let a be (-2)/9 + 98824/99. Suppose a + 902 = -f. What is f rounded to the nearest one thousand?
-2000
Let g = 8.793 - -1.737. What is g rounded to the nearest integer?
11
Let p = 244 + -245.6. What is p rounded to the nearest ten?
0
Let x = -17955461.3383688 - -18554931.63837. Let d = -599470 + x. Let h = -0.3 + d. Round h to 6 dps.
0.000001
Let t = -152.89309 - -152.9. What is t rounded to 4 decimal places?
0.0069
Let c(g) = 22*g - 296. Let b be c(-9). Round b to the nearest 10.
-490
Let z = 1232.35 - 1195. Round z to the nearest 10.
40
Let o = -2167 - -2167.01427. What is o rounded to two decimal places?
0.01
Let l(t) = -t**2 - 10*t + 16. Let s be l(-11). Suppose 0 = -k - 0*k + 4*p + 570, 4*k - s*p - 2225 = 0. What is k rounded to the nearest one hundred?
600
Let y = 39.77 - 40. Let g = 0.2300113 + y. Round g to six decimal places.
0.000011
Let i = 35 + -52. Let b = i + 20. Suppose 4*x - c = -21600002, 8088178 + 8111820 = -b*x - c. Round x to the nearest 1000000.
-5000000
Let y = 9669 - 27799. What is y rounded to the nearest one hundred?
-18100
Suppose -40 + 1 = -3*u. Let h = 18 - u. Suppose -h*r + 3*d + d = 26499984, r - 4*d + 5299984 = 0. Round r to the nearest one million.
-5000000
Suppose -76 = 8*z - 100. Suppose 4*q - 10 = -q. Suppose 0 = 2*r - 4, 70004 = q*k + z*r - r. What is k rounded to the nearest 10000?
40000
Suppose 0 = 2*w + 2*j + 2968796, 11*w = 9*w - j - 2968798. What is w rounded to the nearest one hundred thousand?
-1500000
Let b = 2685.9 + -2580. Let d = b - 111. What | {
"pile_set_name": "DM Mathematics"
} |
+ 2*i wrt i?
106*a*k + 2*a - 102*k + 4
What is the first derivative of 8*o**2*v**2*z - 2*o**2*z + 271*o*v**2 + 1892*v**2*z - v*z wrt o?
16*o*v**2*z - 4*o*z + 271*v**2
What is the third derivative of -8018*i**3 + 1631*i**2 + i wrt i?
-48108
Differentiate -717*u*v**2*z - u*v + 18*u*z + 19*u - 2*v**2*z + 2 wrt v.
-1434*u*v*z - u - 4*v*z
What is the second derivative of 501*h**2*u**2 + 806*h**2*u - 2*h*u - 2*u**3 wrt u?
1002*h**2 - 12*u
Find the second derivative of n*s**4 + 33*n - 210*s**5 - 12*s wrt s.
12*n*s**2 - 4200*s**3
What is the third derivative of -9*s**4 - 7*s**3 + 1014*s**2 - 2 wrt s?
-216*s - 42
Find the third derivative of 25*n**3*w + 6*n**2 + n*w + 3 wrt n.
150*w
Find the third derivative of 17*t*w**4 - 5*t*w - 3*w**4 - 226*w**2 - w + 1 wrt w.
408*t*w - 72*w
What is the third derivative of -4466*n**4 - 65*n**2 - 12*n wrt n?
-107184*n
Find the third derivative of -16*l**5 + 25*l**2 + 2.
-960*l**2
Find the second derivative of -9*b**4 + 16*b**2*u + 9*b*u - 38*u wrt b.
-108*b**2 + 32*u
Find the second derivative of -91*x**5 + 2*x**3 + 5*x + 5 wrt x.
-1820*x**3 + 12*x
What is the second derivative of -1703*k**2*s + 7*k*s - k + s + 7 wrt k?
-3406*s
Find the second derivative of -261*j**5 - 9*j - 6.
-5220*j**3
Find the second derivative of 268*s**3*t**2 + 2*s**2*t**3 - 4*s*t**2 + 12*t**3 + 4 wrt s.
1608*s*t**2 + 4*t**3
Find the second derivative of 2*h**3*p - 190*h**2*p - 11*h*p + 2*h + 4 wrt h.
12*h*p - 380*p
Find the second derivative of -9*j**2*k*u**2 - j**2*k*u - 111*j**2*u**2 + 4*j*k*u - 113*u wrt u.
-18*j**2*k - 222*j**2
Differentiate 14*t**4*w + 10*t**3*w**3 + 14*w**3 - 4 wrt t.
56*t**3*w + 30*t**2*w**3
What is the third derivative of 3290*j**6 + 6*j**2 + 82 wrt j?
394800*j**3
Differentiate 2*p**2*s + 2*p*s + 479*s with respect to p.
4*p*s + 2*s
Find the second derivative of 97*j**5 + 7*j**3 + 669*j wrt j.
1940*j**3 + 42*j
What is the first derivative of -2071*o**3 + 12873 wrt o?
-6213*o**2
Find the second derivative of -4*f**3 - 161*f**2 - f + 613 wrt f.
-24*f - 322
Find the second derivative of -17*j*v**2*w + 5*j*v*w + 37*j + 28*v**2*w + v**2 - 2*v - 2 wrt v.
-34*j*w + 56*w + 2
What is the second derivative of 3*d**3*l + 15*d**2*l**2 - d*l**2 - 35*l**2 wrt d?
18*d*l + 30*l**2
Differentiate i**2*n*o**2 + 1272*i**2*n - i*o**3 + 57*n*o**3 + 2*n*o + n + 22*o wrt i.
2*i*n*o**2 + 2544*i*n - o**3
What is the first derivative of 173*i*t**2*u**2 + 6*i*u**2 - 3*t**2 - 2*t - 617*u**2 wrt i?
173*t**2*u**2 + 6*u**2
What is the second derivative of -991*z**3 + 724*z?
-5946*z
Find the first derivative of -2327*a**2 + 2*a - 6612 wrt a.
-4654*a + 2
What is the second derivative of 40*i**4 + 308*i?
480*i**2
What is the second derivative of 3*a**2*m - 308*a**2 + 4*a*m + a + m - 2 wrt a?
6*m - 616
Find the third derivative of 8*d**3*j**2*p + 3*d**3*j + 7*d**3*p + 2*d**2*j**2*p - 13*d**2 + 10*d*j**2 wrt d.
48*j**2*p + 18*j + 42*p
What is the derivative of 1205*g**2 - 756 wrt g?
2410*g
What is the second derivative of 517*v**4 + 5*v**3 - 1040*v - 2?
6204*v**2 + 30*v
Find the first derivative of 182*i**3*m**2 + 3*i**3 - 145*i**2 - 48*i*m**4 wrt m.
364*i**3*m - 192*i*m**3
What is the first derivative of -b**3*i**2 + 3*b**3*i*p - 387*b**3 - 77*i**2*p wrt p?
3*b**3*i - 77*i**2
What is the first derivative of -46*v**2*x**2 + 4*v**2*x - 2*x**2 + 4*x wrt v?
-92*v*x**2 + 8*v*x
Find the first derivative of 4*g*s**2*w - g*s - 11*g*w - 4*s**2 - s*w - 4*w wrt s.
8*g*s*w - g - 8*s - w
What is the second derivative of b**3*d**2*g*p + b**3*d*p**2 - 2*b**3*p - 37*b**2*d**2*p**2 + b*d*g - 2*b*d*p**2 + d wrt d?
2*b**3*g*p - 74*b**2*p**2
Differentiate -2613*m*v + 2763*m wrt v.
-2613*m
What is the second derivative of -2*u**5*x + 22*u**3*x - 31*u**2*x + 88*u - 15*x wrt u?
-40*u**3*x + 132*u*x - 62*x
Find the second derivative of -2*a**3*j**2 + 3*a**3*p + 2*a**3 + 32*a**2*j**2 + a**2*j + 3*a*j**2*p wrt j.
-4*a**3 + 64*a**2 + 6*a*p
What is the second derivative of 1814*d**2 - 12637*d?
3628
What is the second derivative of 31*n**4*x**3 + n**4 - n*x**2 - 50*x**3 wrt n?
372*n**2*x**3 + 12*n**2
Find the second derivative of g**4 - 12*g**3*t*z + 32*g**2*t*z + 1378*g*t*z - 4*t wrt g.
12*g**2 - 72*g*t*z + 64*t*z
Differentiate 2*g*p**3 - 725*g*p*z**2 + 2*p**3 + 8*p**2 + 7*z**2 with respect to g.
2*p**3 - 725*p*z**2
What is the third derivative of 4962*f**4 + 1169*f**2?
119088*f
Find the second derivative of 920*h**4 + 761*h.
11040*h**2
What is the second derivative of 2*g**3*t**3 + 7*g**2*t**3 + 8*g**2*t + 7*g*t**2 + t**3 wrt g?
12*g*t**3 + 14*t**3 + 16*t
What is the first derivative of -4*p*r**2 + 2*p*r - 609*p - 8*r**2 - 3*r wrt r?
-8*p*r + 2*p - 16*r - 3
Find the third derivative of -450*p**3*r**3 + 39*p**3*r**2 - 10*r**2 wrt r.
-2700*p**3
What is the third derivative of 14488*z**4 - z**3 - 57*z**2 + 13?
347712*z - 6
Differentiate -14*a**3 - 3*a**2 + 370.
-42*a**2 - 6*a
Find the third derivative of 40*d**3*i*m**3 + 3*d**3*i*m**2 + 170*d**3*i - 2*d**3*m**3 - 3*d**3*m**2 - 5*i*m**3 wrt m.
240*d**3*i - 12*d**3 - 30*i
Find the second derivative of 7*g**2*m**2 - 6*g**2*m + g**2 - 273*m**2 - 126*m - 1 wrt m.
14*g**2 - 546
Find the third derivative of 849*f**3 + 89*f**2 - 2*f.
5094
What is the derivative of -7*w**4*y - 18*w**2*y**2 + 8*y**2 - 11*y wrt w?
-28*w**3*y - 36*w*y**2
What is the first derivative of 24*q**2 + 12*q - 2867 wrt q?
48*q + 12
What is the derivative of -863*k**4 - 393 wrt k?
-3452*k**3
What is the third derivative of 2*g**4*y**2 - 23*g**3*y**2 + g**3 + g**2 - 235*g*y**2 wrt g?
48*g*y**2 - 138*y**2 + 6
Find the second derivative of -24*b**4 + 5*b**2 - 295*b.
-288*b**2 + 10
What is the second derivative of -8472*p**2 + 13941*p?
-16944
Differentiate -2*d**3*v**2 - 499*d**3 + 233*v**3 wrt v.
-4*d**3*v + 699*v**2
Differentiate -3*f**3 - 1640*f**2 + 1519 wrt f.
-9*f**2 - 3280*f
What is the third derivative of -o**5 - 167*o**3 + 8*o**2 + 4 wrt o?
-60*o**2 - 1002
Find the third derivative of -22*f*i**2*w**3 + 120*f*w**3 - 5*f*w**2 + 4*f*w - 2*i**2*w wrt w.
-132*f*i**2 + 720*f
What is the third derivative of 17*g*h*w**3 + 7*g*h*w + 10*g*w**3 - 7*g*w**2 + h**2*w**3 - h**2 wrt w?
102*g*h + 60*g + 6*h**2
Find the second derivative of -40*k**3 - 5*k**2 + 10*k + 12 wrt k.
-240*k - 10
Differentiate -5*k**2*w**2 + k**2 + 6*k*w**2 - 27 wrt w.
-10*k**2*w + 12*k*w
Find the second derivative of -190*h**2 - 2*h - 22.
-380
Find the second derivative of -87*a**2*g**2*i**2 + 2*a**2*t**3 + 3*a*i**2*t - 2*a*i**2 + 2*g**2*i**2*t**3 - 2*g**2*i*t**2 wrt a.
-174*g**2*i**2 + 4*t**3
Find the first derivative of -200*a + 156.
-200
What is the second derivative of 233*x**5 - 2*x**4 + 465*x?
4660*x**3 - 24*x**2
What is the third derivative of 1561*p**6 - 3*p**2 + 220*p wrt p?
187320*p**3
Find the second derivative of -l**3*m**3 - l**3*m + l**2*m - 21*l*m**3 - m**3 + 92*m wrt m.
-6*l**3*m - 126*l*m - 6*m
What is the third derivative of 1312*h**3*l - 205*h**2 + h*l wrt h?
7872*l
Find the second derivative of -o**3 + 184*o**2 + 567*o.
-6*o + 368
What is the second derivative of -759*j**5 + 5*j**4*u - 12*j*u - 71*j wrt j?
-15180*j**3 + 60*j**2*u
Find the first derivative of 1078*f*g**3*o - 113*f*g**3 - f*g wrt o.
1078*f*g**3
What is the first derivative of -4361*x - 27737?
-4361
What is the derivative of -151*i*r**3 + i*r**2 + 2051*i*x**3 - 2*i*x**2 + 4*r**2*x**3 wrt r?
-453*i*r**2 + 2*i*r + 8*r*x**3
Find the third derivative of -9*w*x**5 + 91*w*x**2*y + 5*x**3*y + 2*x**2 wrt x.
-540*w*x**2 + 30*y
Differentiate -544*g**2 + 210 wrt g.
-1088*g
What is the third derivative of 4688*d**6 - 7*d**2 - 19*d - 6 wrt d?
562560*d**3
What is the derivative of 2194*i**3*r + 1300*i**3 + 3*i**2*q - q*r wrt r?
2194*i**3 - q
Differentiate -5*m**3*r + m**2*r - 4*m**2 + 257*r with respect to m.
-15*m**2*r + 2*m*r - 8*m
Find the third derivative of -26*u*y**4 + u*y**3 + u*y + 2*y**4 - 6*y**3 + 2001*y**2 wrt y.
-624*u*y + 6*u + 48*y - 36
What is the third derivative of 65*i**6 - i**5 - 10*i**4 - 2*i**2 - 2*i + 76?
7800*i**3 - 60*i**2 - 240*i
Find the third derivative of -5647*j**6 + j**3 + 7067*j**2 wrt j.
-677640*j**3 + 6
Find the second derivative of 2*b*f**5 + 201*b*f**2 - 659*b*f - 2*f**2 - 1 wrt f.
40*b*f**3 + 402*b - 4
What is the derivative of 109*i**2*w**2 + 101*i**2 - 2*i*w**3 wrt w?
218*i**2*w - 6*i*w**2
What | {
"pile_set_name": "DM Mathematics"
} |
x + f*k and give b.
-9744
Rearrange -23*z - 110*z**2 + 103*z**2 + 13*z + 6*z - 326*z**2 to h*z + l + n*z**2 and give l.
0
Rearrange (-487*l + 487*l - 444*l**2)*(1 - 8 + 1) + l**2 + 0*l**2 + 0*l**2 to s*l**2 + j + u*l and give s.
2665
Rearrange (-o + 4*o - o)*(1 - 5 + 2) + o - 184 + 184 + (-1 - 3 + 1)*(-8*o - 9*o - 10*o) to s + r*o and give r.
78
Rearrange 2*d**2 + 406*d - 2*d**2 + d**2 - 27 + d**2 - 405*d + 3*d**3 - d**4 to the form s*d**2 + i*d + u + z*d**4 + w*d**3 and give s.
2
Rearrange -2997643*g + g**3 - 146*g**4 + 2997643*g - 29 - g**2 to the form r*g**3 + k*g**2 + q + p*g + w*g**4 and give q.
-29
Express z**2 + 1 + 47*z**3 - 62*z**4 - 204*z + 206*z - 45*z**3 as k*z**4 + w*z**2 + y + s*z + m*z**3 and give m.
2
Express -4 + 1179*u - 15 - 2375*u + 1181*u - 9 in the form h*u + o and give o.
-28
Rearrange (6839*h - 3386*h - 3455*h + 11698)*(-3 - 2 + 3) to x*h + g and give x.
4
Express y**2 - y**2 - 3*y**4 + (-540 + 540 - 78*y**2)*(-41*y**2 - 250*y + 250*y) in the form o*y**3 + g*y**2 + z + x*y + s*y**4 and give s.
3195
Express (-2 - 2*k**2 + 2)*(-5 - 2 + 4) - 286*k**2 - 556 + 293*k**2 + 556 - 135*k as f + w*k**2 + t*k and give w.
13
Rearrange (-5 + 5 - 6*n)*(0 - 1 + 4)*(390*n - 101 + 101) to m*n**2 + u + f*n and give m.
-7020
Rearrange 2385*d + 863*d + 3901*d + 3708*d + 5*d - 3*d - d - d - 4 + 4 + (-2 + 0 + 4)*(2*d - 5*d + 5*d) to n + i*d and give n.
0
Rearrange -41 + 878*m**2 + 176 - 134 to d + v*m + k*m**2 and give d.
1
Rearrange 67 + 44*j**2 + 5 - 15*j**2 + 86 - 73 to the form s*j + w*j**2 + h and give w.
29
Express -2863*h - 1 + 4*h**2 + 87*h**3 + 1 + 2860*h as l*h**2 + n + j*h + w*h**3 and give j.
-3
Rearrange (-215*o**4 - 141*o**4 - 309*o**4)*(0 - 3 + 1) to v*o**2 + c*o**4 + j*o**3 + f + h*o and give c.
1330
Express (-5*a**3 + 0*a**3 - 33*a**3)*(-4 - 1 + 4) + 2*a**3 + 0*a**3 - 4*a**3 in the form y*a**2 + c*a + z*a**3 + t and give c.
0
Express -6657*p + 2*p**3 - p**3 + p**2 + 3244*p + 3937*p as a*p + r + s*p**2 + f*p**3 and give s.
1
Express -2 - 23*z**3 + 212*z**2 - 216*z**2 + 10*z**3 as r + t*z**2 + v*z**3 + x*z and give x.
0
Rearrange 26750 - 26750 - 1299*g to the form l*g + i and give l.
-1299
Express (-2*l + 5*l - l)*(1 + l - 1 + (0 - 1 - 1)*(l + 4*l - 3*l))*(-33729 - 62*l + 33679 - 15*l) as p*l + d*l**3 + c*l**2 + s and give d.
462
Rearrange (-4*l + 5*l - 3*l - 2)*(2 - 3 + 24) - 22*l + 18*l + 9*l - 4*l + 6*l + 0*l + (-7 + 6 + 0)*(2 - l - 2) to the form p*l + t and give t.
-46
Express -12439 + 1009*l - 3811*l + 6224 + 6215 in the form a*l + k and give k.
0
Express -39*q + 6091 + 3*q + 4*q + 29*q + 2*q in the form s*q + z and give z.
6091
Express 86*f - 17 + 61*f - 174*f in the form b*f + w and give w.
-17
Express (-92*h**3 + 53*h**3 + 51*h**3)*(h + h + 0*h)*(0 - 2 + 3) as i*h**2 + u*h**4 + n + m*h**3 + g*h and give u.
24
Rearrange (-159*r**2 - 191*r**2 + 62*r**2)*(-4 + 1 + 4)*(-35 - 10 - 4) to the form z*r**2 + y + g*r and give z.
14112
Rearrange -3*s**3 + 3*s**2 - 617*s + 636*s - 26 - 5*s**2 + 2*s**4 to the form c*s**3 + l*s + w*s**2 + i*s**4 + h and give l.
19
Express 5479 - 5479 + 3*l - 1788*l**2 + 346*l**2 as k*l + v + n*l**2 and give n.
-1442
Rearrange -48 - 1466*p + 26 + 23 + 642*p - 2253*p to l + h*p and give l.
1
Rearrange 2 - 289*u**4 - 212*u**4 - 3*u + 2*u**2 + 87*u**4 to g*u**2 + d*u + z*u**4 + s + c*u**3 and give d.
-3
Express (-2*y**3 - 6*y - 20689 + 4*y + 21401)*(3 - 1 - 4) as n*y**3 + f*y**2 + k + u*y and give u.
4
Express -9*i + 24 - 11*i + 1 + i - 5 as y*i + b and give b.
20
Rearrange (-99*b**2 - 123*b**2 + 170*b**2)*(84 + 16 - 45) to the form f*b**2 + p*b + w and give f.
-2860
Express (61600 - 61600 - 119*p)*(4*p - 4*p + 3*p)*(4*p + 5*p - 2*p) as t*p**3 + v*p**2 + l + z*p and give t.
-2499
Rearrange (-136*s**2 - 2*s**2 + 960*s**2)*(38 + 12*s - 38) to the form b*s + u + w*s**2 + r*s**3 and give r.
9864
Rearrange 8*w**2 - 7*w**2 - 314*w + 116*w - 139*w to the form f + z*w**2 + v*w and give v.
-337
Express (-w + 5*w - w)*(-4199*w**2 - 317*w**2 + 7663*w**2) in the form m + n*w**3 + b*w**2 + u*w and give m.
0
Rearrange (13 + 13 - 37)*(-6*u + 5*u + 2*u)*(9*u + 7*u - 6*u)*((4 - 5 + 4)*(-4 + 5 - 3) - 3 + 3 - 1) to c*u**2 + g*u + p and give c.
770
Rearrange 637 + 375 + 3*r - 4*r + 111 to h*r + w and give w.
1123
Express 482 + 469 - 9*w**4 + 466 + 62*w**3 - 1419 + w**2 in the form k + q*w**4 + d*w**3 + t*w**2 + x*w and give q.
-9
Express 1595607*q**3 - q - 1593740*q**3 + 0*q in the form i*q**3 + k + b*q**2 + f*q and give i.
1867
Rearrange (0 + 8 + 0)*(n**3 + 3*n**3 - 3*n**3) + (-n + 0 - 9 + 14)*(n - n**2 - n) + 2*n**3 - 34*n**3 + 5*n**3 to l + j*n**2 + m*n + g*n**3 and give j.
-5
Express 1278*z + 2050*z - 117*z + 2148*z + 398*z in the form r + f*z and give f.
5757
Rearrange -106*p + 35079 - 94*p**2 - 35079 to t*p + r + w*p**2 and give w.
-94
Rearrange 246 - 55 + 255 + 22493*y - 22500*y - 40 to the form h + q*y and give q.
-7
Express -4272*n + 7562974 - 7562974 in the form v*n + l and give l.
0
Express (-43*r + 17*r + 3 + 25*r)*(-1 + 6 - 3)*(10 - 1 + 0) as k + h*r and give k.
54
Rearrange (-895*y - 3659*y - 929*y)*(4 - 1 - 1) to the form x*y + n and give x.
-10966
Rearrange 1771*n + 3038*n + 2788*n - 639*n + 1299*n to t + i*n and give i.
8257
Express -207 - f + 103 + 107 - 2*f**2 in the form g*f**2 + z + y*f and give g.
-2
Rearrange 270936*v + 19 - 43*v**4 + 41*v**4 + 2*v**2 - 13*v**3 - 270939*v to the form w*v**2 + u*v + d + x*v**3 + h*v**4 and give h.
-2
Express (1093 - 28*w**2 - 1093)*(26*w**2 - 95*w - 7*w**2 - 17*w**2)*(1 + 0 - 3) as o*w**2 + b + p*w**3 + r*w**4 + k*w and give r.
112
Rearrange 2 - 2*v**2 + 86*v**3 - 5*v**2 - 90*v**3 to c*v**2 + f*v + i + z*v**3 and give z.
-4
Express 278*z - 278*z + 3654*z**2 + 1048*z**2 + 1970*z**2 as u*z + l*z**2 + q and give l.
6672
Rearrange 16*x + 24*x - 6*x + 3 + 317 to the form c + m*x and give m.
34
Rearrange (803*d - 23857*d - 41938*d)*(1 + 1 + 0) to i*d + k and give i.
-129984
Express -105*d**4 - 2*d + 29*d**3 + 293*d**4 - 32*d**3 + d as m*d**2 + q + y*d**4 + c*d**3 + n*d and give c.
-3
Express -1 + 3069*p + 26 + 2193*p - 25 in the form u + l*p and give l.
5262
Rearrange 10342*h - 3672*h - 506283 + 506283 to m*h + u and give m.
6670
Rearrange -302*q**2 + 5 - q + 3*q + 144*q**2 + 157*q**2 - 189*q**3 to h + k*q**2 + s*q + c*q**3 and give c.
-189
Express -120*k - 146*k + 139*k + 2 as s + v*k and give s.
2
Rearrange -36*s**3 + 52*s**3 - 239*s**3 - 18*s**3 - 6*s**2 to f + z*s + m*s**2 + v*s**3 and give m.
-6
Express 33*k - 1150*k**4 + 71 - 64 - 97*k - 376*k - k**2 + 1149*k**4 as i*k**3 + c + l*k**4 + r*k + p*k**2 and give p.
-1
Express 93*z + 33*z + 120*z - 46 + 55 as u + g*z and give g.
246
Rearrange -98*z + 18414 + 18429 + z**2 - 36845 + z**3 to the form d*z + a*z**3 + g + w*z**2 and give a.
1
Rearrange -53504*a**3 - 6 + 53503*a**3 - 3*a**2 - 852*a + 851*a to the form w + p*a + o*a**2 + u*a**3 and give p.
-1
Express (83 + 38 + 44)*(0 - 15*w + 0 + 2*w + 0 + 0 - w + 2*w + 0*w + (-1 + 1 - 1)*(0*w - 2*w + 0*w)) in the form b + h*w and give h.
-1650
Rearrange (-15*h - 19*h + 13*h)*(2*h - 2*h - h) + (-10*h**2 + 0*h**2 - 23*h**2)*(2 + 1 - 4) - h**2 + h**2 - 2*h**2 to the form n*h + b + y*h**2 and give y.
52
Rearrange 46 + 33*v**2 + 58*v**2 - 80*v**2 + 0*v**3 + 14 + 2*v**3 to o + x*v**3 + h*v**2 + j*v and give h.
11
Rearrange (-4*o**2 + 78*o - 78*o + (0*o + 0*o - 2*o)*(3*o - 2*o - 2*o))*(-496*o + 1002*o + 1277*o**2 - 506*o) to m*o**4 + c*o**3 + s*o + r*o**2 + x and give m.
-2554
Express i + 6*i**3 + 5*i**2 - 5*i**3 + 9*i**4 - 17*i**2 + i + 1 + 14*i**2 in the form r*i + t*i**3 + o*i**2 + y + l*i**4 and give l.
9
Express -3*k + 2 + 5*k + 6*k**2 - 7*k**3 + 8*k - 12*k + 5*k**3 as j*k**3 + z*k**2 + o + f*k and give f.
-2
Rearrange 3793*o**3 + o - 256*o**2 - 2*o**4 + 708*o**2 - 228*o**2 - 226*o**2 to the form n*o**3 + l*o**4 + h*o**2 + w + d*o and give h.
-2
Rearrange -6*r - r + 3*r + (4*r + r - 4*r)*(5 - 2 - 2) + 2*r - 5*r - 7*r + (-3 + 3 + 2*r)*(5 - 1 - 2)*(-394 + 964 - 262) to c + a*r and give a.
1219
Express -2 - 380*t - 4*t**3 + 10525937*t**2 - 10525937*t**2 in the form u*t + q*t**3 + b + a*t**2 and give u.
-380
Rearrange -12*j - 1220 + 1222 - 8*j + (3 + 5 - 2)*(4*j - 3*j - 2*j) to y*j + l and give l.
2
Express -47*p**2 + 19*p**2 + p - 18*p - 112*p**2 + 5*p as u + y*p**2 + f*p and gi | {
"pile_set_name": "DM Mathematics"
} |
6 - -4)*(-6)/8. Let n = 8 - l. Let j(f) = f**2 + f. Let w(a) = -2*a**2 + 2. What is n*j(s) - w(s)?
s**2 - s - 2
Let t(p) = -3*p - 791. Let s(u) = -2*u - 396. Give 7*s(g) - 4*t(g).
-2*g + 392
Let z(s) = -s**3 + 2*s + 138. Let n(m) = -6*m**3 + 11*m + 690. Determine 4*n(t) - 22*z(t).
-2*t**3 - 276
Let k(i) = i + 2. Let q(z) = -4*z - 12. Let y(w) = 4*w + 10. Let u(s) = -2*q(s) - 3*y(s). Calculate 7*k(f) + 2*u(f).
-f + 2
Suppose -s - 12 = -l, -131*l - 4*s + 33 = -126*l. Let f(c) = -19*c. Let z(y) = 77*y - 1. Give l*f(r) + 2*z(r).
-17*r - 2
Suppose -4*j + 0*d = 3*d + 11, 0 = 2*j + 2*d + 8. Let a(n) = 3*n**2 + n - 2. Let f be a(j). Let m(z) = 13*z + 5. Let b(p) = -6*p - 2. What is f*m(k) + 5*b(k)?
-4*k
Let c(a) = 10*a**2 + 6*a - 5. Let l(o) = -19*o**2 - 11*o + 13. Give -11*c(f) - 6*l(f).
4*f**2 - 23
Let r(g) = -23 - g**2 - g**2 + 27 + 0*g**2. Let w(n) = n**2 - 3. Let p(f) = -f**2 - 9*f - 3. Let v be p(-9). What is v*r(z) - 4*w(z)?
2*z**2
Let p(u) = 10*u**2 - 4*u. Let m(f) = -f + 19*f**2 - 6*f - 137 - 125 + 262. Let d = 0 - 7. What is d*p(g) + 4*m(g)?
6*g**2
Let s(i) be the second derivative of i**4/12 - i**3/3 - 2*i. Let q(c) = -c. Suppose o - 4*o + 3 = 0. What is o*s(n) - 2*q(n)?
n**2
Let j(y) = 20*y**3 + 5*y - 50*y**3 + 4*y + 21*y**3. Let s(d) = 4*d**3 - 5*d. What is 5*j(u) + 9*s(u)?
-9*u**3
Let v(b) = -b**2 - b - 1. Let c(o) = 2*o**3 + 2*o**2 + 2*o + 73. What is c(s) + 2*v(s)?
2*s**3 + 71
Let z(c) = -c**3 + 4*c**2. Let d(j) = 183 - 5*j**3 - 64 + 15*j**2 - 63 - 56. Calculate -4*d(h) + 15*z(h).
5*h**3
Let s(j) = -17*j**3 - 4*j**2 + 5*j + 5. Let d(k) = 34*k**3 + 7*k**2 - 9*k - 10. Determine -4*d(w) - 7*s(w).
-17*w**3 + w + 5
Let d(v) = 2*v**2 + 3*v + 4. Let c(b) = 131*b + 0 + 123*b - 1 - b**2 - 255*b. Calculate 3*c(o) + d(o).
-o**2 + 1
Let r(f) = 16*f + 6. Let n(j) = -j + 1. Determine 3*n(q) + r(q).
13*q + 9
Let n(k) = 10*k + 377. Let f(l) = 7*l + 250. What is -7*f(g) + 5*n(g)?
g + 135
Let k(c) = -c**3 + 3*c**2 - 4*c + 3. Let y(i) = 3*i**3 - 6*i**2 + 7*i - 5. Calculate 5*k(p) + 3*y(p).
4*p**3 - 3*p**2 + p
Let r(a) = -a**3 - a**2 - a. Let v(d) = -7*d**3 - 3*d**2 + 12*d - 1. Calculate 3*r(m) - v(m).
4*m**3 - 15*m + 1
Suppose 4*j - 8 = 2*j. Let a(r) = 5*r**2 + 4*r + 5*r**3 + 2*r**2 - j*r**2. Suppose -19*l + 16 + 60 = 0. Let m(w) = -w**3 - w**2 - w. Calculate l*m(f) + a(f).
f**3 - f**2
Let s(r) = r**2 + r. Suppose 3 = -9*q + 12. Let p = 3 - 1. Let i(n) = -3*n**p - 1 - 6*n + 2*n + 3*n + 0. Give q*s(y) + i(y).
-2*y**2 - 1
Let i(a) = 13*a**2 - 1. Let m(x) = 15*x**2 - 1. Let r(n) = 7*i(n) - 6*m(n). Let v(o) = -2*o**2 + 6. Give -3*r(k) - v(k).
-k**2 - 3
Let x(h) = -5*h**2 + 2*h. Let a(l) be the third derivative of 9*l**5/4 - 55*l**4/24 - 3*l**2. Let m be -1 + 12/(-2) - (-20 - -15). Determine m*a(p) - 55*x(p).
5*p**2
Let u(v) = 16. Let i(d) = 2. Let l(p) = 30*i(p) - 4*u(p). Let y(g) = g + 9. Calculate 5*l(a) + 2*y(a).
2*a - 2
Let z(j) = 8*j**3 + 2*j - 1. Let f(d) be the first derivative of 2*d**4 + 3*d**2/2 - d - 724. Determine -2*f(l) + 3*z(l).
8*l**3 - 1
Let h(v) be the first derivative of 4*v**3/3 + 2*v**2 + 4*v + 148. Let w(l) be the third derivative of l**4/24 + l**3/6 + 5*l**2. Calculate -h(f) + 4*w(f).
-4*f**2
Let i(r) = 19*r - 8*r + 9 + 2. Let w(z) = 4*z + 4. Suppose 10 = 5*g, 2*t - 8*g + 14 = -4*g. Let l = 15 + -7. Give l*w(p) + t*i(p).
-p - 1
Let u(q) = 2*q**3 - 4*q**2 - 6*q - 9. Let b(i) be the third derivative of i**6/120 - i**5/60 - i**4/24 - i**3/6 - 428*i**2 + 2*i. Determine 6*b(h) - u(h).
4*h**3 - 2*h**2 + 3
Let c(w) = -6*w + 0*w - w + 23 - 27. Let a(j) = -13*j - 7. Give 6*a(s) - 11*c(s).
-s + 2
Let y(q) = 6*q + 5. Let o(j) = 4*j + 3. Let x(g) = -10*g**2 + 6*g - 4. Let b be x(1). Give b*o(c) + 5*y(c).
-2*c + 1
Let r(h) = h + 11. Let a(d) = -d. Calculate -4*a(k) - r(k).
3*k - 11
Let c(h) = 2*h**2 + 15*h + 4. Let m be c(-6). Let s(a) = -4*a**2 + 3*a + 3. Let l(i) = i**2 - i - 1. Suppose 9 + 7 = -4*n. Determine m*l(j) + n*s(j).
2*j**2 + 2*j + 2
Let c be 9 - -1*(-2 - -3)*0. Let b(n) = 0*n + c + 5*n + 0*n + 8*n. Let x(s) = 7*s + 5. Calculate 4*b(h) - 7*x(h).
3*h + 1
Let u(f) = -4*f**2 - 7*f - 7. Let n(x) be the third derivative of -x**5/30 - x**4/6 - 2*x**3/3 - 51*x**2. What is 5*n(v) - 3*u(v)?
2*v**2 + v + 1
Let s be 39 + 0/(10/(-5)). Let t(m) = m**2 + 2*m + 2. Let h(b) = 5*b**2 + 13*b + 13. Give s*t(r) - 6*h(r).
9*r**2
Let q(o) = 2160*o**2 - 4*o - 209. Let c(b) = 172799*b**2 - 322*b - 16721. Let x(w) = -2*c(w) + 161*q(w). Let i(s) = -21*s**2 + 2. What is 207*i(y) + 2*x(y)?
-23*y**2
Suppose 5*y = 4*s + 308, -3*s - 231 = -3*y + 2*y. Let g = 74 + s. Let a(c) = c**2 - 2*c. Let z(f) = 0*f + f**2 + 0*f - f. Give g*z(q) + 2*a(q).
-q**2 - q
Let q(g) = -6*g**2 - 9*g - 7. Let p(c) = -10*c**2 - 14*c - 11. What is 5*p(o) - 8*q(o)?
-2*o**2 + 2*o + 1
Let k(v) = 3*v**3 - 3*v**2 - 24*v - 664. Let b(i) = -i**3 + i**2 + 9*i + 221. Give -8*b(h) - 3*k(h).
-h**3 + h**2 + 224
Let u(h) = 5*h + 11. Let a(f) = -f**3 - 10*f**2 + 15*f - 11. Let q be a(-11). Let g be q/(-2)*(18/(-10) - -1). Let l(w) = -w - 2. Determine g*l(k) - 4*u(k).
2*k
Let a(x) = 10*x**3 + 3*x**2 - 14*x - 8. Let c(l) = -l**2 + 3*l**2 - l**2 - 2*l + 3*l**3 - 3 - 3*l. Give 3*a(n) - 8*c(n).
6*n**3 + n**2 - 2*n
Let g(y) = y**2 + 29*y - 9. Let o(f) = 1. Calculate 2*g(p) + 18*o(p).
2*p**2 + 58*p
Let c(z) = -7*z - 1. Let i(j) = -15*j - 2. Suppose 4*y - 4 = -2*h + 204, y = 3. Suppose 0 = h*w - 100*w - 12. Determine w*i(f) + 13*c(f).
-f - 1
Let a = 7 + -6. Let y(b) = -b - 1. Suppose 2*h - 5*h + 18 = 0. Let s(k) be the first derivative of 7*k**2/2 + 6*k - 2. Give a*s(l) + h*y(l).
l
Suppose 50 = r + 18. Let l = 29 - r. Let p(m) = m + 5. Let s(y) = -2*y - 6. What is l*p(u) - 2*s(u)?
u - 3
Let j(n) = 8*n**3 + 3*n. Let k(x) = 23*x**3 + 9*x. Suppose -104 = -6*h + 40. Suppose -20*i + 24*i - h = 0. Give i*k(d) - 17*j(d).
2*d**3 + 3*d
Let q = 242 - 247. Let n(h) = -4*h**3 + h**2 + 5*h. Let k(i) be the third derivative of -i**6/40 + i**4/6 + 9*i**2. What is q*k(y) + 4*n(y)?
-y**3 + 4*y**2
Let b(x) = x**3 - x**2 + x - 1. Let r(m) = -2*m**3 + 3*m**2 - 6*m - 2. Calculate -4*b(u) - r(u).
-2*u**3 + u**2 + 2*u + 6
Let a(q) = 0 + 14*q - 8 - 6. Let d = -117 - -100. Let s(i) = -5*i + 5. Determine d*s(l) - 6*a(l).
l - 1
Let z(a) = -5*a**2 - 2*a. Let k(w) = -3*w**2 - w. Suppose 0 = -72*g + 73*g - 5. What is g*z(c) - 8*k(c)?
-c**2 - 2*c
Let p(g) be the second derivative of -3*g**4/2 + 23*g**3/6 - 17*g**2/2 - 12*g + 1. Let m(z) = -3*z**2 + 4*z - 3. What is -34*m(t) + 6*p(t)?
-6*t**2 + 2*t
Let q(j) = -1 + j**3 - 23*j - 29*j + 75*j - 28*j - 4. Let r(n) = -3*n - 3. Determine -3*q(y) + 5*r(y).
-3*y**3
Let y(n) = 5*n**3 + 2*n**2 - 3*n - 1. Let p(w) = 4*w**3 + w**2 - 2*w. Let m(g) = -3*p(g) + 2*y(g). Let d(x) = -2*x**3 + x**2 - 3. Determine -2*d(o) + 3*m(o).
-2*o**3 + o**2
Let w(t) = 2*t - 9. Let j(q) be the second derivative of -q**2/2 - 2*q + 66. What is -36*j(m) + 4*w(m)?
8*m
Let x(p) be the second derivative of -5*p**3/6 + 3*p**2/2 + p - 2. Let q(a) = -8*a + 1. Let b(f) = 4*f. Let k(r) = -5*b(r) - 3*q(r). Calculate 3*k(l) + 2*x(l).
2*l - 3
Let u(k) = -k**2. Let j(q) = -28*q**2 + q - 2. What is j(c) - 6*u(c)?
-22*c**2 + c - 2
Let g = -16 + 20. Let t(x) be the third derivative of x**5/60 + x**4/24 - x**3/2 + 6*x**2. Let j(a) = 2*a**2 + 3*a - 8. Determine g*j(r) - 11*t(r).
-3*r**2 + r + 1
Let b(m) = -5*m - 98. Let u(k) = k + 1. What is -b(y) - 6*u(y)?
-y + 92
Let l(q) be the first derivative of -3*q**2/2 - 4*q - 11. Let h(z) = 24*z + 33. Let m = -86 + 90. Calculate m*h(s) + 33*l(s).
-3*s
Let d(q) = 16*q - 29. Let g(l) = 3. Let y(t) = -t + 1. Let a(k) = g(k) + 3*y(k). What is 11*a(b) + 2*d(b)?
-b + 8
Let w(k) = 163*k**3 + 11*k**2 - 24*k - 13. Let c(a) = -82*a**3 - 5*a**2 + 11*a + 6. What is -13*c(y) - 6*w(y)?
88*y**3 - y**2 + y
Let r(t) = -6*t**2 + 32*t - 29. Let f(u) = 3*u**2 - 17*u + 15. Let k(m) = 11*f(m) + 6*r(m). Let d(g) = g**2 - 2*g + 4. Determine -5*d(s) - 2*k(s).
s**2 - 2
Let l(s) = 18*s**2 - 6*s. Let v(d) = d**2 - d. Let q = -679 - -673. Determine q*v(b) + l(b).
12*b**2
Suppose 0 = -2*g - x - 2*x + 13, 2*g = 4*x - 22. Let b be (1/3)/(g/((-6)/(-2))). Let l(t) = t - 5. Let r(j) = j - 1. What is b*l(m) + 2*r(m)?
m + 3
Let c(v) = -78*v**2 + 65*v. Suppose 0 = 5*p - 2303 + 2298. Let t(k) = k**2 - k. Determine p*c(s) + 65*t(s).
-13*s | {
"pile_set_name": "DM Mathematics"
} |
et z be 2/j + 2/(-4). Let r(p) be the first derivative of 2*p**3/3 + p**2/2 - 3. What is r(z)?
1
Let w(v) be the second derivative of v**6/120 + v**5/12 - v**4/24 + v**3 - 3*v**2/2 + v. Let d(r) be the first derivative of w(r). Determine d(-5).
11
Let g = -1 + -1. Let s(u) = 2*u**2 + 3*u + 1. Let n be s(g). Let v(a) = 0*a + a**2 + 6*a + 2 - n*a. Calculate v(-3).
2
Suppose 2*q + 12 = -q + f, -5*q - 4*f - 20 = 0. Let j(z) = -z**3 - 3*z**2 + 3*z + 2. Give j(q).
6
Suppose -5*z = 3*t - 6*t - 57, 0 = -4*z - 5*t + 16. Let p(n) = n**3 - 10*n**2 + 10*n - 4. Calculate p(z).
5
Let j = 5 + 2. Let a(c) = 7 - j - 3 + c. Let w = 0 - -5. What is a(w)?
2
Let k(j) = -j. Let h = -13 - -5. Determine k(h).
8
Let n(j) = j**3 - 4*j**2 - 5*j - 3. Suppose -3*w - 23 = -4*i, -6*w = 3*i - 2*w - 11. Calculate n(i).
-3
Let r(i) = -9*i + 3. Let t(w) = -3*w + 1. Let h(f) = 4*r(f) - 11*t(f). Give h(-1).
4
Let w(r) = 3*r**3 + 13*r**2 - r - 13. Let g(m) = m**3 + 6*m**2 - m - 6. Let y(i) = -5*g(i) + 2*w(i). Let d be (4/2)/(6/9). What is y(d)?
4
Let s(w) = 1. Let a(o) = o + 1. Let y(f) = -6*a(f) + 5*s(f). Calculate y(1).
-7
Let k = -7 + 8. Let b be 1/(3/k - 4). Let i(c) = 1 - c**2 + 2*c - c**2 - 3*c**2. Give i(b).
-6
Let u(o) = -o**2 + 4*o + 7. Let f be u(5). Let w(z) = z + 2. Let v be w(-5). Let d(i) = 2*i. Let k(b) = 6*b - 1. Let h(n) = v*k(n) + 8*d(n). Calculate h(f).
-1
Suppose 2*o - 14 = -2*x, -x - 6 = -5*o + 11. Let a(z) = x*z**3 + 0*z**3 + z**2 - z**3 + 0*z**3. Determine a(-1).
-1
Let y(t) = -t**2 + 5*t. Let n be y(3). Let o = n + -2. Let c(b) = b**2 - 3*b - 2. Calculate c(o).
2
Let j be 68/18 + (-6)/(-27). Suppose j*t + 8 = 5*s - 3, -t + s - 2 = 0. Let h(c) = 5*c**3 + 2*c - 1. Give h(t).
6
Let m be 2*(-1)/2 + 7. Let n(z) = z**3 + 4*z**2 + 5*z - 3. Let u(t) = -2*t**3 - 3*t**2 - 6*t + 2. Let j(f) = 3*n(f) + 2*u(f). Determine j(m).
13
Let s(q) = -4*q**2 - 13*q - 2. Let g(c) = 3*c**2 + 9*c + 1. Let b(o) = -7*g(o) - 5*s(o). Give b(4).
-5
Let q(f) = -f**3 - 5*f**2 - f + 1. Let l(x) = -x + 9. Let g be l(5). Let b be (-18)/g - 1/2. Give q(b).
6
Let z be 18/5 + (-6)/(-15). Let d(m) = -2*m**2 + 3*m - 3. Determine d(z).
-23
Let n(o) = -o**3 - 4*o**2 + 5*o - 5. Suppose 4*j + 2 = -2*b + 4*b, -3*b - j - 18 = 0. Give n(b).
-5
Let x(f) be the third derivative of f**6/180 - f**5/60 - f**4/6 + 3*f**2. Let g(y) be the second derivative of x(y). Determine g(2).
6
Suppose -2*r = -2*y - 4 + 2, -1 = -2*y + 3*r. Let h(c) = 0*c - 4*c + 5*c. Calculate h(y).
-4
Let j(p) = -4*p - 4. Let m(s) = s + 1. Let n(z) = -6*j(z) - 22*m(z). Determine n(2).
6
Let w(h) be the first derivative of h**3/3 + 2*h**2 - 4*h + 37. Give w(-5).
1
Let h(v) = -2*v**2 + 1. Let c(r) = -r + 2. Let j(m) = m - 2. Let o(n) = 6*c(n) + 7*j(n). Let b be o(5). Suppose 4*k + 2 = b*k. Calculate h(k).
-7
Let w(d) be the second derivative of d**3/6 - d**2 - 11*d. Calculate w(7).
5
Suppose 4*u - 15 = -35. Let k(y) = y**2 + 6*y + 6. Give k(u).
1
Let r = -33 + 29. Let c(t) = -t + 3. Let u(q) = -3*q + 7. Let j(o) = 5*c(o) - 2*u(o). What is j(r)?
-3
Let a(u) = -u - 8. Suppose 0 = 4*l + 2*b - 46, -l - 3*b - b + 29 = 0. Let v be ((-8)/(-3))/((-3)/l). Let f be a(v). Let z(i) = -i + 7. What is z(f)?
7
Suppose -5 + 1 = -4*x. Let u(q) be the second derivative of q**3/6 + 4*q. Give u(x).
1
Let y(d) = d + 1. Suppose 4*h - v = 24, -4*v + 5*v = 3*h - 19. Let j be y(h). Let f(b) = b. What is f(j)?
6
Let u(y) = -2*y**2 + 2*y - 7. Let z(b) = 2*b**2 - b + 6. Let g(i) = 4*u(i) + 5*z(i). Give g(-2).
4
Let i(s) = 11*s + 1. Let p be i(6). Suppose 9 = 4*o - p. Suppose o = 5*b - 6. Let m(k) = k - 2. Determine m(b).
3
Let x(k) be the first derivative of k**3/3 - 5*k**2/2 - 10*k - 8. Calculate x(7).
4
Let c(y) = 3*y - 5 - 4*y - 4*y - 1. Determine c(-4).
14
Suppose 6*g - 5*g + 3*c = 15, -12 = -4*c. Let i = g - 2. Let m(v) = -2 - 4 + i + v**3 - v. What is m(-2)?
-8
Let v(p) = p + 5. Let n = 9 - -1. Suppose t - 4 = 3*a, -5*t + 5*a - n = -0*t. Calculate v(t).
0
Suppose 3*q - 7 - 5 = 0. Let f = q - -1. Let z(h) = -h**2 - 4 - h + 0 + f*h. Calculate z(3).
-1
Let l(y) = y**3 - y**2. Let i(v) = 2*v**2 + 16*v. Let a be i(-8). What is l(a)?
0
Let j(q) = q - 6. Let s(y) = -1 + 0*y - y + 4*y - 2*y. Let l(n) = -j(n) + 3*s(n). Give l(-5).
-7
Let b(k) = k**3 + k + 1. Suppose 2*c - j - 13 = 0, -5*j - 20 = -7*c + 2*c. Suppose 0*v - 9 = v. Let f = c + v. What is b(f)?
1
Let i(x) = 0*x**3 + 6*x**3 - 3*x - 1 + 4*x**2 - 5*x**3. Let p(f) = f**3 + 9*f**2 + f + 5. Let y be p(-9). Calculate i(y).
11
Suppose -10 = -6*t + t. Let z(f) = -6*f + 2. Calculate z(t).
-10
Suppose 7 = l - 0*l. Let z(c) = -c**3 + 8*c**2 - 5*c. Give z(l).
14
Let s(b) = b**2 + 6*b. Suppose -7 = -j - 13. What is s(j)?
0
Suppose 4*x + 36 = -2*x. Let r(l) = l + 1. What is r(x)?
-5
Let t(p) = -14*p + 6 + 32*p - 17*p. Give t(0).
6
Let s(z) be the first derivative of -7 - 1/2*z**2 - z - 14/3*z**3. Determine s(-1).
-14
Let u(k) = k**3 + 4*k**2 + 3*k. Let f(l) = 1. Let x(g) = g + 4. Let i(t) = 5*f(t) - x(t). Let s be i(-7). Suppose 3*j + 1 = -s. Calculate u(j).
0
Let p(y) be the third derivative of -y**4/24 + 5*y**3/3 - 11*y**2. Suppose -5*g + 16 = -9. Calculate p(g).
5
Let x(j) = -j - 5. Suppose 43 = -3*c - n + 6*n, 2*c + 22 = 2*n. What is x(c)?
1
Suppose 45*y - 39*y = -18. Let x(a) = -2*a + 0 + 0. Determine x(y).
6
Let z(u) = 7*u**2 + 2*u + 4. Let m(s) = 8*s**2 + 3*s + 5. Let i(l) = -6*m(l) + 7*z(l). Calculate i(4).
-2
Suppose 3*w - 30 = 18*w. Let d(c) = c + 2*c**2 - c**2 + 2 - 2*c**2. Calculate d(w).
-4
Let s(n) be the second derivative of n**3/3 - 4*n**2 + 68*n. Calculate s(6).
4
Suppose 234*u - 229*u = 15. Let s(x) be the second derivative of -u*x**2 + 1/6*x**3 + 3*x + 0. Calculate s(6).
0
Let b(n) = -n**3 - 3*n**2 + 4*n - 7. Let f be b(-4). Let u(r) = -r**3 - 6*r**2 + 6*r - 2. Give u(f).
5
Let b(r) = -7*r - r**2 - r**3 - 7 + 5*r**2 + 2*r**3. Let n be b(-5). Let t(d) = -d**n - d**3 + d**3. What is t(0)?
0
Let t(y) = -8*y**3 - 2*y**2 - 2*y - 1. Let z(s) = 9*s**3 + 2*s**2 + 2*s + 1. Let c(g) = 4*t(g) + 5*z(g). Calculate c(-1).
-12
Let v(b) = b**3 - 3*b**2 - 4*b + 4. Let s = 4 - 1. Let m be v(s). Let t = -11 - m. Let i(r) = r**3 + 4*r**2 + 4*r + 2. Calculate i(t).
-1
Let y(i) = i**2 - 3*i - 4. Let p be y(5). Let g = p - 9. Let b be 1 - (-18)/g - -1. Let d(q) = -q**3 - 5*q**2 - 5*q. Give d(b).
4
Let o(c) = 2*c - 7. Let d be (32/20)/(2/5). Suppose -4*k = 5*a - 35, -d*a = -16 + 4. Determine o(k).
3
Suppose -4*s - 16 = -0*s. Let n(y) = 3*y + 6. Determine n(s).
-6
Suppose d - 6 = -h - 2*h, 4*h + 11 = 5*d. Let r(y) = 0*y - d + 2 + 3*y - 2*y. Let v be 9/(-2) + (-2)/(-4). Give r(v).
-5
Suppose -3*r + 2*u - 30 = 2*r, 4*u = 0. Let y(w) = w + 10. Let a(q) = -q - 10. Let h(f) = -3*a(f) - 4*y(f). Give h(r).
-4
Let x be -1 - 2*(-9)/6. Let h(g) = -2 + 7*g - 3*g + 1. Let a(v) = -5*v + 1. Let m(t) = x*a(t) + 3*h(t). Determine m(-3).
-7
Let c(y) = y**3 + 5*y**2 + 2*y - 2. Let m be (6 - 13)*(-1 - 0). Let t be 0 + (3 - m) + 0. Determine c(t).
6
Let n(q) = 5 + 5*q**2 - 2*q**3 + 4*q + 4*q + 3*q**3 - 2*q. What is n(-4)?
-3
Let k(p) = -4*p + 14. Let o(m) = -5*m + 15. Suppose j + 2 = -3*w - 3, 0 = -2*j + 8. Let z(a) = w*o(a) + 4*k(a). Let d = 12 - 7. Calculate z(d).
6
Let b(r) = 0 + 1 - 2*r - 2 + 4*r. Determine b(-4).
-9
Let k(h) = -3 + 4*h**2 - 3*h**2 + 1. Give k(3).
7
Let t(k) = -k**2 - 15*k + 4. Let f be t(-15). Let p(a) = -a**3 + 5*a**2 - 4*a - 5. What is p(f)?
-5
Suppose 0 + 2 = v. Let a(n) = n + 0*n**2 - n**3 - 1 + 0*n**v - n**2. Calculate a(1).
-2
Let f(z) = -z**2 + z + 2. Let o(l) = -l**2 + 2*l + 5. Let i(s) = -9*f(s) + 4*o(s). Let q(g) = -14*g**2 + 2*g - 6. Let u(k) = 17*i(k) + 6*q(k). Determine u(5).
-2
Suppose -m - 2*m - 6 = 0. Let y(t) = -7*t - 2. What is y(m)?
12
Let m(b) = -5*b**2 - 2*b + 11. Let o(t) = 2*t**2 + t - 4. Let w(n) = -3*m(n) - 8*o(n). Calculate w(-4).
-9
Let w(f) be the third derivative of f**5/60 + f**4/6 - 2*f**3/3 + 8*f**2. What is w(-4)?
-4
Suppose 4*d + 0 - 8 = 0. Let k(t) = 4*t + 2*t**2 + t**2 - t**3 + d*t - 2. Let c(h) = 5*h + 89. Let m be c(-17). What is k(m)?
6
Let n(l) = -4 + 8*l**2 - 1 - 9*l**2 + 3*l + 2. Calculate n(4).
-7
Let k = 1 - -2. Let x(v) = 1 + 4*v - k*v - v**2 - 3*v. Suppose q = -0 + 1. What is x(q)?
-2
Let v(l) = l**2 - 3*l + 3. Let g(a) = 2*a**2 + 2*a + 2. Let y be g(-1). Give v(y).
1
Let m(k) | {
"pile_set_name": "DM Mathematics"
} |
et w(t) = t**2 - 21*t - 45901. Give w(-204).
-1
Let m(h) = 49*h - 636. Calculate m(14).
50
Let s(n) = 13*n - 1360. Calculate s(99).
-73
Let c(x) = x**2 + 111*x - 2412. Determine c(-131).
208
Let q(m) = -m**2 + 66*m - 355. Give q(6).
5
Let x(a) = 2*a**3 - 103*a**2 - 160*a + 75. Give x(53).
22
Let p(v) = 42*v**2 + 303*v - 199. Give p(-8).
65
Let c(t) = -29*t + 213. Give c(8).
-19
Let b(i) = i**2 + 7*i - 45. Give b(4).
-1
Let t(r) = 13*r - 205. Determine t(16).
3
Let l(g) = g**2 + 12*g - 336. Determine l(-23).
-83
Let c(l) = -311*l + 312. What is c(1)?
1
Let d(c) = -c**2 - 17*c - 134. What is d(-15)?
-104
Let p(s) = -s**3 - 11*s**2 + 3*s - 48. What is p(-11)?
-81
Let o(y) = 4*y**3 - 3*y - 9. Give o(-3).
-108
Let a(b) = 15*b**2 - 407*b + 33. Give a(27).
-21
Let f(b) = b**2 + 401*b + 4432. Give f(-11).
142
Let h(v) = -46*v**3 + v**2 + 14*v + 20. Calculate h(-2).
364
Let s(t) = 56*t - 618. Determine s(11).
-2
Let t(c) = c**3 + 30*c**2 - 11*c + 653. Determine t(-31).
33
Let i(k) = k**2 - 54*k + 283. Calculate i(48).
-5
Let i(q) = q**2 + 23*q - 912. Determine i(20).
-52
Let d(v) = -176*v + 1709. What is d(9)?
125
Let u(a) = 570*a - 3998. What is u(7)?
-8
Let p(c) = -3*c**2 - 97*c - 702. What is p(-21)?
12
Let c(m) = -1461*m + 55525. Give c(38).
7
Let l(g) = 13*g + 230. Calculate l(-18).
-4
Let y(l) = -6*l**2 - 10*l - 16. Give y(7).
-380
Let v(j) = j**2 + 5*j - 95. Calculate v(0).
-95
Let a(u) = 405*u - 2044. Determine a(5).
-19
Let h(w) = 240*w**3 - 1439*w**2 - 5*w + 13. Determine h(6).
19
Let w(i) = -2*i + 180. Determine w(2).
176
Let m(h) = h**3 + 9*h**2 - 25*h + 114. What is m(-12)?
-18
Let c(h) = -818*h - 63796. What is c(-78)?
8
Let k(i) = -i**2 + i - 13. Give k(-3).
-25
Let a(j) = -j**3 + 8*j**2 + 390*j - 3. Calculate a(-16).
-99
Let b(p) = -p**2 - 6*p + 158. What is b(-16)?
-2
Let v(t) = 10*t + 142. What is v(-11)?
32
Let v(m) = 26*m + 34. What is v(-1)?
8
Let j(s) = 2*s - 104. Calculate j(33).
-38
Let a(q) = 108*q**2 + 549*q + 39. Determine a(-5).
-6
Let y(h) = -14*h**2 - 3*h. Calculate y(0).
0
Let j(l) = 4*l**3 + 34*l**2 - 19*l - 8. What is j(-9)?
1
Let k(r) = 1370*r - 12348. Give k(9).
-18
Let h(k) = -k**2 - 74*k - 1008. Calculate h(-18).
0
Let y(c) = -2*c**3 + 58*c**2 + 77*c - 80. Determine y(30).
430
Let o(i) = 4475*i**2 - 35799*i - 11. What is o(8)?
-3
Let z(g) = g**2 - 68*g - 70. What is z(-1)?
-1
Let q(a) = 20*a + 653. Determine q(-25).
153
Let h(r) = -247*r**2 - 18*r + 29. Determine h(2).
-995
Let p(c) = 7*c - 269. Calculate p(44).
39
Let q(c) = -539*c - 19949. Calculate q(-37).
-6
Let j(b) = b**2 + 29*b - 656. Determine j(15).
4
Let k(t) = 26*t**2 - t + 3. Determine k(2).
105
Let d(y) = -y**3 + 59*y**2 - 258*y - 616. Give d(54).
32
Let a(p) = -48*p + 113. Calculate a(7).
-223
Let m(o) = -o**3 - 7*o**2 - 7*o + 13. Determine m(-4).
-7
Let v(j) = 5*j**3 - 2*j**2 - 8*j - 13. What is v(-3)?
-142
Let y(k) = k**3 - 4*k**2 - 13*k + 109. Determine y(6).
103
Let l(k) = -27*k + 6. What is l(0)?
6
Let z(k) = -k**3 - 19*k**2 - 36*k - 40. What is z(-17)?
-6
Let c(v) = -161*v + 1295. Give c(8).
7
Let z(v) = -v**3 - 14*v**2 + 65*v + 863. Give z(-9).
-127
Let c(a) = -a**3 + 16*a**2 - 30*a + 52. Calculate c(15).
-173
Let v(l) = -171*l - 381. Determine v(-2).
-39
Let h(m) = -54*m + 6609. Give h(122).
21
Let d(u) = -u**3 + 18*u - 68. What is d(0)?
-68
Let g(v) = -11*v + 735. Determine g(55).
130
Let s(v) = -2*v**2 - 9*v - 21. What is s(-4)?
-17
Let x(u) = -u**3 - 21*u**2 + 22*u - 13. Determine x(-22).
-13
Let a(i) = 1744*i + 3482. Determine a(-2).
-6
Let a(x) = -2*x**2 - 33*x - 20. Determine a(-15).
25
Let w(r) = -22*r + 138. Determine w(5).
28
Let l(k) = -2*k**3 - 5*k**2 + 21*k - 46. What is l(3)?
-82
Let f(r) = -2*r**2 - 196*r - 582. Calculate f(-3).
-12
Let q(z) = -124*z - 3246. Give q(-26).
-22
Let t(r) = r**3 + 2*r**2 + 6*r - 21. Give t(0).
-21
Let v(j) = -11*j - 316. Calculate v(-32).
36
Let k(d) = d**3 - 2*d**2 + 20*d - 122. Determine k(4).
-10
Let j(z) = z**3 + 14*z**2 + 43*z + 68. Calculate j(-14).
-534
Let d(y) = -390*y + 1195. Give d(4).
-365
Let w(a) = -3*a**3 - 20*a**2 - 62*a - 472. Calculate w(-7).
11
Let z(i) = -i**2 + 40*i + 695. What is z(-17)?
-274
Let p(d) = d**2 + 55*d + 674. What is p(-18)?
8
Let z(t) = -t**2 - 39*t - 147. Give z(-4).
-7
Let b(r) = -102*r + 286. What is b(6)?
-326
Let m(c) = 14*c - 991. What is m(69)?
-25
Let a(n) = -2*n**3 + 4*n**2 + 2*n - 40. Give a(0).
-40
Let j(x) = -151*x**3 + x**2 + 8*x + 8. Determine j(-1).
152
Let q(v) = -102*v**2 - 3161*v + 40. Give q(-31).
9
Let y(f) = -f**2 + 24*f + 243. Give y(31).
26
Let t(x) = -x - 51. Calculate t(-27).
-24
Let l(k) = -613*k + 541. Determine l(1).
-72
Let s(z) = z**3 - 52*z**2 - 352*z - 21. Give s(-6).
3
Let p(d) = 2*d + 3. Calculate p(-82).
-161
Let n(c) = 5*c**2 + 185*c - 942. Determine n(5).
108
Let n(j) = -224*j - 406. What is n(2)?
-854
Let q(z) = 24*z - 880. Give q(49).
296
Let m(z) = 42*z - 260. What is m(9)?
118
Let y(c) = 84*c - 1855. Determine y(22).
-7
Let o(u) = 9*u**2 - 109*u + 96. Calculate o(11).
-14
Let b(z) = -68*z + 315. Determine b(6).
-93
Let j(l) = -2*l**2 + 115*l - 54. Give j(57).
3
Let a(t) = 32*t + 705. Give a(-22).
1
Let q(x) = 13*x + 751. What is q(-48)?
127
Let k(z) = -143*z + 7676. Calculate k(54).
-46
Let j(l) = 2*l**2 + 75*l - 74. Determine j(-41).
213
Let k(g) = -5*g + 233. Calculate k(48).
-7
Let f(q) = 341*q + 29. Determine f(-1).
-312
Let q(o) = o**2 + 72*o - 145. Give q(2).
3
Let w(h) = -4*h**2 - 105*h - 221. Determine w(-24).
-5
Let l(j) = -1260*j + 7502. Give l(6).
-58
Let u(f) = -3*f**2 + 127*f + 328. What is u(45)?
-32
Let y(r) = r**2 - 33*r + 191. What is y(10)?
-39
Let i(d) = d**3 - 57*d**2 + 63*d - 397. Calculate i(56).
-5
Let f(v) = -v**2 + 44*v - 280. Give f(36).
8
Let k(u) = -u**3 + 39*u**2 + 56*u - 654. Calculate k(40).
-14
Let l(j) = 140*j**2 - 1388*j - 144. Calculate l(10).
-24
Let f(i) = 6*i - 187. Calculate f(34).
17
Let d(j) = 167*j - 2686. Calculate d(16).
-14
Let l(u) = -u**3 + 21*u**2 - 65*u + 617. Determine l(19).
104
Let m(c) = -13*c**2 + 484*c - 126. Calculate m(37).
-15
Let q(s) = -3*s**2 - 485*s + 24930. Calculate q(41).
2
Let y(r) = 3*r**2 - 104*r + 834. Give y(22).
-2
Let b(g) = -18*g**2 + 245*g + 122. Calculate b(14).
24
Let x(g) = -g - 165. Determine x(50).
-215
Let d(r) = 8*r + 146. Determine d(-17).
10
Let q(t) = -t**3 - 6*t**2 + 16*t + 1. What is q(-8)?
1
Let h(s) = -7*s**2 + 57*s - 10. Give h(7).
46
Let d(c) = 2*c**3 + 69*c**2 - 38*c - 116. Give d(-35).
-11
Let q(p) = p**3 + 16*p**2 - 25*p + 9. What is q(-17)?
145
Let w(i) = -i - 103. Determine w(-39).
-64
Let b(j) = -89*j - 933. What is b(-15)?
402
Let a(y) = -2*y**2 - 155*y + 286. What is a(-79)?
49
Let i(w) = 11*w + 46. Calculate i(-4).
2
Let r(m) = 5593*m + 10. Give r(0).
10
Let w(l) = -l**3 - 24*l**2 - 134*l - 455. Determine w(-18).
13
Let n(u) = -2*u**3 + 33*u**2 + 20*u + 13. Determine n(17).
64
Let t(k) = -k**3 - 10*k**2 - 4*k + 95. Give t(-8).
-1
Let h(y) = -y**2 + 77*y - 454. Give h(71).
-28
Let g(x) = x**2 - 21*x - 19. Calculate g(-1).
3
Let w(t) = -411*t + 51. What is w(2)?
-771
Let f(h) = 2*h**3 + 14*h**2 + 15*h - 3. Determine f(-6).
-21
Let f(v) = -v**2 + 38*v - 234. Calculate f(23).
111
Let x(v) = v**3 - 18*v**2 - 20*v + 27. Give x(19).
8
Let b(j) = -3*j**2 - 32*j - 47. Give b(-3).
22
Let s(b) = 24*b**2 - 133*b - 84. Determine s(6).
-18
Let a(m) = -814*m - 7330. Determine a(-9).
-4
Let m(d) = -d**3 + 16*d**2 + 8*d - 128. Give m(16).
0
Let d(a) = 106*a - 2449. Give d(23).
-11
Let o(t) = -t**2 - 51*t - 283. Give o(-6).
-13
Let q(r) = -r**3 - 47*r**2 + 112*r + 718. Give q(-49).
32
Let h(w) = 2*w**2 + 365*w + 8386. Calculate h(-27).
-11
Let z(w) = -w**3 - 231*w**2 - 227*w + 710. What is z(-230)?
20
Let d(l) = 22*l + 467. Give d(-21).
5
Let f(z) = -z**2 - 34*z - 95. Determine f(-10).
145
Let k(w) = -2*w**2 + 47*w - 207. Determine k(17).
14
Let d(k) = -2*k**3 + 6*k**2 + 50*k - 158. What is d(3)?
-8
Let l(m) = -4*m**2 - 52*m + 91. Calculate l(9).
-701
Let m(g) = -27*g + 1156. Give m(42).
22
Let j(t) = 55*t + 59. Give j(-2).
-51
Let o(r) = 8045*r + 48264. Give o(-6).
-6
Let n(h) = -h**3 - 20*h**2 - 29*h + 16. Give n(-18).
-110
Let n(j) = -j**2 - 72*j + 640. Calculate n(8).
0
Let z(m) = 58*m - 8518. Determine z(147).
8
Let b(h) = -2*h**3 - 8*h* | {
"pile_set_name": "DM Mathematics"
} |
d biggest value in b, d, w?
b
Suppose -3*d = -4*l, -3*l + 0 + 9 = 0. Let w = 14.03 - 14. Let q = w - 0.23. What is the second biggest value in -0.1, d, q?
-0.1
Let v = 12 + -11.7. Let t = 0.06 - -0.34. Let p = t - v. Which is the smallest value? (a) -2 (b) p (c) 2/9
a
Let d = 1.74 - -0.26. Which is the second biggest value? (a) 4 (b) 6 (c) d
a
Let h = -4.9 - 0.7. Let q = -6 - h. What is the smallest value in 0.5, q, 1/5?
q
Let m(u) = -u**3 + 7*u**2 - 5*u - 8. Let x(p) = p**2 - 13*p + 6. Let l be x(13). Let j be m(l). What is the third biggest value in -0.1, -1/5, j?
j
Let q = -48.5 + 48. What is the second biggest value in 4, q, -5/4?
q
Suppose -g = 2*f + 11, 4*g + 4 = f - 4. Let u = 1.5 - 2.8. Let k = -1.7 - u. What is the smallest value in f, k, 2?
f
Let h = 7 + -14. Let x = 10 + h. Which is the third smallest value? (a) 1 (b) x (c) -1
b
Let t be (-2 - 0) + (-2)/(-1). Suppose 0 = 15*d - 7*d - 32. Which is the third biggest value? (a) -1/4 (b) d (c) t
a
Let s = 0.09 - 0.08. Let t = 3.01 - s. Let u = -0.2 + 0. What is the third smallest value in u, t, 2/3?
t
Let a = 1.16 - 0.54. Let s = a - 0.22. What is the smallest value in -0.2, s, 1/4?
-0.2
Let o be 3/4 - 9/36. What is the biggest value in 0.2, 4/5, o?
4/5
Let u = 110124 - 7929131/72. Let w = -19/8 - u. Which is the biggest value? (a) 0.5 (b) w (c) -2/11
a
Let n be (-14)/10 + 1 + 0. Let k be 5/(-1) - 1/(-1). Let d be k/(-6)*(-6)/(-4). What is the third biggest value in -1, d, n?
-1
Let p = 40 + -41. Which is the third biggest value? (a) 3 (b) 1/4 (c) -2 (d) p
d
Let g = 52 - 50. Which is the fourth biggest value? (a) -0.4 (b) g (c) 0 (d) -51
d
Let n be (-8)/10*(-30)/12. Let l be (1 - (-6)/3) + n. Let f = -138 + 409/3. What is the second smallest value in -5, f, l?
f
Let f be (2 - 3)/(-1 - -2). Let r be f/(-4) - (-10)/8. Let l = -3 - -6. Which is the second smallest value? (a) 1 (b) l (c) r
c
Let v = 135/7 - 19. Which is the second smallest value? (a) v (b) 1 (c) 0.5
c
Let q(g) = -5*g - 10. Let f be q(-8). Let v be f/(-25)*(-10)/(-3). Let r = -0.31 - -0.01. Which is the third smallest value? (a) v (b) r (c) -3
b
Let c = -0.8 - -0.4. Let s = -672929/10 - -67369. Let a = 76 - s. What is the third biggest value in c, a, -1?
-1
Let x = 15 + -30.7. Let s = x - -15. Let g = s - -0.2. What is the second biggest value in g, -5, -1?
-1
Let y = -541 + 537. Let h be (1/1)/((-3)/5). Which is the smallest value? (a) h (b) 1/2 (c) y
c
Let t = 25/132 + 2/33. Which is the fourth smallest value? (a) 3/2 (b) t (c) -2/3 (d) -4
a
Let u = -2 - -1.8. Which is the smallest value? (a) 3 (b) -1/4 (c) u
b
Let x = 22/3 + -64/9. Let d be 120/(-175) - (-4)/10. Which is the third smallest value? (a) -5 (b) x (c) d
b
Let k be (2 + 60/(-27))*-3. Let p = -0.21 + 2.61. Let t = p + -2. What is the second smallest value in k, -0.1, t?
t
Let w = 0.3 - 0.3. Suppose -5*x + x + 12 = 0. Which is the third biggest value? (a) 0.1 (b) w (c) x
b
Let x = -0.011 - -5.011. Which is the fourth smallest value? (a) x (b) -0.1 (c) 1 (d) -4
a
Let f = -0.09 - 6.91. Let o = 0.16 + -9.16. Let j = f - o. Which is the third biggest value? (a) -5 (b) j (c) 3
a
Let u be (-5)/((-25)/4)*(-1)/2. Which is the biggest value? (a) u (b) 2 (c) 15
c
Let u = 1.01 + -1. Let j = -87/20 + 23/5. Which is the biggest value? (a) 4 (b) u (c) j
a
Let i = -2/137 - 395/1096. Let k = 12 + -8. What is the smallest value in i, 2/21, k?
i
Let s(q) = q**3 - 4*q**2 + 1. Let x be s(4). Let v = -3.4 - -2.9. What is the smallest value in 0.1, v, x?
v
Suppose -5 = -l - 4*l. Let i be (-6)/(-30)*(-1)/l. Which is the second biggest value? (a) i (b) 5 (c) 0
c
Let k be 1/(-3)*(-4)/4. Which is the second biggest value? (a) -6/11 (b) k (c) 0.3
c
Let x = 0.071 - -28.929. Let b = 41 - x. Let h = b + -7. What is the biggest value in 0.3, h, 0?
h
Let g = -8 - -5. Let l = g + -2. Let d be 0 + 0 + -1 - -3. Which is the second biggest value? (a) -0.5 (b) d (c) l
a
Let z = -0.01 - -0.08. Let m = z - 0.07. Which is the second biggest value? (a) m (b) 0.4 (c) 0.2
c
Let v be 44/(-21)*9/(-6). Let n = v - 24/7. What is the second biggest value in -4, n, 4?
n
Let q = -1.07 - 0.23. Let j = -3.3 - q. Which is the biggest value? (a) 1/3 (b) 4/9 (c) j
b
Let t = 4.1 + -0.1. What is the biggest value in 0.1, t, 6, 5?
6
Let d be (-3)/(-1) + 9 + -11. What is the third smallest value in d, 4/5, -0.02?
d
Let v = 16 - 12. Which is the smallest value? (a) -2/5 (b) v (c) -1
c
Let u = 10.81 - 11. Let x = u - -0.09. What is the second biggest value in -2/9, -0.3, x?
-2/9
Let f be -5*(-4*1 + 3). Let r = -6 - -9. Let s = f - r. What is the smallest value in 2/15, s, 0.3?
2/15
Let k(q) = 3*q**3 - q + 1. Let o be k(1). Let l be ((-1)/3)/(o/(-2)). Which is the second smallest value? (a) -1/2 (b) l (c) 1
b
Let n be (-5 + 88/16)*(-8)/26. What is the third biggest value in 10, n, -0.3?
-0.3
Let i be (-3)/4 - 260/(-560). Let c = -1.9 - -2. What is the biggest value in 0.6, c, i?
0.6
Let s = -0.1 - -0.03. Which is the third biggest value? (a) 2 (b) 3 (c) s (d) 2/19
d
Let j be (1/5)/(12/(-15)). Suppose -r = r + 6. What is the third biggest value in r, -0.4, j?
r
Suppose 14*n + 7 = 21*n. Which is the smallest value? (a) -1.3 (b) n (c) 0.4
a
Suppose 0 = z + 3*z + 2*w - 12, 5*z + 4*w = 9. What is the second smallest value in -7, z, -1/3?
-1/3
Suppose -2*g = -g - 3. What is the second biggest value in g, 0.7, 5?
g
Let n be ((-6)/72)/((-62)/16). What is the biggest value in -3/7, -0.1, n?
n
Let h = 271/40 + -32/5. Let p = 513/7 - 73. Let l = -694/855 - -2/171. Which is the second smallest value? (a) l (b) p (c) h
b
Let x = 3.6 - 1.6. Which is the smallest value? (a) 3/5 (b) -2/5 (c) x
b
Let u = -37 - -41. Which is the third biggest value? (a) u (b) 0.02 (c) -0.4
c
Let d = 33 - 32. Which is the third biggest value? (a) 2 (b) -0.03 (c) d
b
Let d be (-2)/6 + 112/624. What is the second biggest value in -4, 1, d?
d
Let v be (-6)/(-15) + 3/5. What is the third biggest value in -2/3, v, 4?
-2/3
Let q = 66 - 68. Suppose 2*w - 9 = -3*a, -5*w - 6 = 9. What is the biggest value in q, a, -5?
a
Let x be 1/8 + (-4 - (-4 - 0)). What is the third smallest value in 0.06, 0.5, x?
0.5
Let j = 0.153 - 0.053. Which is the third smallest value? (a) 0 (b) j (c) -2/11 (d) 3/2
b
Let l be (-4)/(-6) - (-2 - -3). Which is the second smallest value? (a) -3/10 (b) l (c) 0.2
a
Let b = 0.8 + 0.2. What is the biggest value in 0.1, 0.2, b?
b
Let n = -6 - -6.2. Which is the biggest value? (a) 5 (b) -3 (c) n
a
Let s = 295/21 - 96/7. Which is the fourth smallest value? (a) -3 (b) -2 (c) 2 (d) s
c
Let a = -7 - -6.3. Let o = a - -0.2. Suppose -5 - 11 = 4*m. What is the smallest value in o, m, -2/3?
m
Suppose x - 12 = 3*x. Let q be x/21 - (-22)/28. Which is the smallest value? (a) q (b) -4 (c) 3
b
Let o(k) = k**3 + 7*k**2 + 4. Let x be o(-7). Let i(h) = -2*h + 5. Let a be i(5). What is the second biggest value in a, x, 0.5?
0.5
Suppose -5*s + 0*s + 20 = 0. What is the smallest value in -0.3, 1.6, s?
-0.3
Suppose 0 = -0*f + 4*f + 4. Let y(d) = -d**3 - 8*d**2 + 2*d + 9. Let x be y(-8). Let k = -11 - x. Which is the third smallest value? (a) f (b) k (c) 2
c
Let i = 0.17 + 0.23. Which is the second biggest value? (a) -2 (b) i (c) 1
b
Let j = -0.9 - -2.9. Let r be 3/(-4) + 1/2. Which is the third biggest value? (a) j (b) 5 (c) r
c
Let h = -451 - -7665/17. What is the smallest value in 2/5, h, 2?
h
Let i = -0.05 + 3.05. Let l = -0.236 - 1.764. What is the third biggest value in l, i, 5?
l
Let l = -0.08 - -0.06. Let o = -78 - -236/3. Which is the second biggest value? (a) l (b) -5 (c) o
a
Let q = -54 + 812/15. Which is the biggest value? (a) q (b) -3/5 (c) 2/11
c
Let o = 0.1 - 0.2. Let i = 197.4 - 216. Let x = 19 + i. What is the smallest value in o, x, 3?
o
Let c = -2.7 - -3. What is the fourth biggest value in 20, 0.2, 2, c?
0.2
Let k = -33 + 29. Let i = 0 + 1. Suppose 3*t + 5 = 2*h, -t + 4*h - 3 = -8. What is the second smallest value in t, k, i?
t
Suppose 3*d - 2 = 4. Let g = -7 + d. Which is the second biggest value? (a) 3/2 (b) -0.4 (c) g
b
Let d be 1 + (11/57 - 1). Let p = d - 10/19. Let u = 11/15 + p. Which is the third biggest v | {
"pile_set_name": "DM Mathematics"
} |
). Suppose -4*w + h*w - 4*p = 1, -3*w - v*p = -59. Calculate the remainder when w is divided by 10.
7
Let m(z) = -2*z**2 + 1 - z + 5*z**3 - 3*z**3 + z**2 + 5*z**3. Let c be m(1). Calculate the remainder when (-294)/(-10) + c/10 is divided by 11.
8
Suppose -47*m + 145 = -42*m. Let a = 2 - 1. Suppose -a = x - 11. Calculate the remainder when m is divided by x.
9
Let t be 1/7 - (-108)/28. Let c(p) = p**2. What is the remainder when c(t) is divided by 6?
4
Let x be (-8)/(-16)*(-1 - -1). Suppose 0 = k - 3*m + 32, x = -4*k + 4*m - 28 - 92. Let g = k + 45. Calculate the remainder when 30 is divided by g.
14
Let g(y) = -y**2 - 8*y + 30. Calculate the remainder when g(-8) is divided by 17.
13
Let p be 1*-24 - (0 - 1). Let t = p - -29. Calculate the remainder when 21 is divided by t.
3
Let c(u) = u**2 - 8*u - 9. Calculate the remainder when c(11) is divided by 7.
3
Let x = -2 - -2. Suppose 2*h - 62 = -x*s - 2*s, 2*h - 5*s = 97. Suppose 2*l = 17 + 21. What is the remainder when h is divided by l?
17
Let y = -170 + 277. Calculate the remainder when y is divided by 36.
35
Let y = -23 + 37. What is the remainder when 40 is divided by y?
12
Suppose -2*j = 5*m - 69, 3*m - 2*j + j = 48. Calculate the remainder when 59 is divided by m.
14
Suppose 7 = -2*h + 21. Suppose -h = -d - 3. Calculate the remainder when d is divided by 3.
1
Let x = -69 + 107. What is the remainder when x is divided by 8?
6
Suppose 0 = -4*u + 40. Suppose p = 4*p - 2*g + 8, 0 = 2*p - 2*g + 4. Let t = 32 + p. Calculate the remainder when t is divided by u.
8
Let m(b) = b**2 - 5 - 7*b - 3 - 1. Let q be m(9). Suppose 11 + q = 5*h. What is the remainder when 11 is divided by h?
3
Suppose -31 = 2*z - 3*z. Calculate the remainder when z is divided by (4/(-10))/((-1)/40).
15
Suppose -4*x + 5*w = -0*w - 168, -x + w + 43 = 0. Calculate the remainder when x is divided by 12.
11
What is the remainder when (270/25)/(9/30) is divided by 13?
10
Let y(n) = -2*n**2 - 2*n + 4. Let v(o) = o**2 + o - 2. Let p(d) = 9*v(d) + 4*y(d). Calculate the remainder when 4 is divided by p(-3).
0
Suppose -5 = f - 15. What is the remainder when 6/15 + 206/f is divided by 12?
9
Suppose 4*b - 2*b - 14 = 0. What is the remainder when b is divided by 4?
3
What is the remainder when (4/(-8))/(-2 + 267/134) is divided by 23?
21
Let q = -113 + 125. Let f = -65 - -112. What is the remainder when f is divided by q?
11
Suppose -22 = -g + 5*h, 0*g = 5*g + 4*h - 23. Calculate the remainder when 26 is divided by g.
5
Suppose -57 = 2*j + 5*z + 4, -4*z = 3*j + 81. Let q = 2 - j. Suppose -5*f - q + 160 = 0. What is the remainder when f is divided by 14?
13
Let m(p) = 29*p**2. Calculate the remainder when m(-1) is divided by 8.
5
Let g(y) = 12*y**2 + y + 2. Let c be g(-1). Let q = c - 7. What is the remainder when 22 is divided by q?
4
Suppose 4*u = -0*y + 2*y - 40, 2*y - 12 = -3*u. Let j(c) = 4*c - 14. Calculate the remainder when 3/1*(y - 3) is divided by j(7).
13
Let f(o) = o**2 + 4*o + 1. Suppose -3*i - 4*y - 22 = y, 0 = -4*i - y - 18. Let u(m) = 2*m**3 - m. What is the remainder when u(1) is divided by f(i)?
0
Let c be 4/(-14) + 5970/70. Suppose -4*x + 0*x - 3*m + c = 0, -32 = -2*x + 2*m. Calculate the remainder when 73 is divided by x.
16
Let b = -125 - -130. What is the remainder when 19 is divided by b?
4
Suppose -20 = -6*v + 2*v, 0 = 2*r - v - 125. Calculate the remainder when r is divided by 17.
14
Let y be -4 + 9 - (-1 - 0). Let l = y - 0. What is the remainder when 10 is divided by l?
4
Let b = 166 + -119. Let t(l) = -5*l + 8. Let m(x) = 6*x - 7. Let w(j) = 4*m(j) + 5*t(j). Calculate the remainder when b is divided by w(0).
11
Let c = -19 + 48. Calculate the remainder when 85 is divided by c.
27
Let t(g) = -48*g - 11. Calculate the remainder when t(-5) is divided by 46.
45
Calculate the remainder when 7/1 - 0/(-1) is divided by (0 + -3 + 2)/(3/(-12)).
3
Let l(u) = 2*u**2 - 2*u - 1. Let o be l(2). Let d = 6 - o. Suppose -16 = -5*v + d*v. Calculate the remainder when 22 is divided by v.
6
Calculate the remainder when 105 is divided by 326/6 + 1 - 49/147.
50
Let h = 5 + -3. Let k = -17 + 12. Calculate the remainder when 44 is divided by (k/h)/(2/(-12)).
14
What is the remainder when 78 is divided by (-1)/5 + 0 - 230/(-25)?
6
Suppose 8*w + 420 = 12*w. Calculate the remainder when w is divided by 27.
24
Let u = 98 + -68. Calculate the remainder when u is divided by 11.
8
Let u be (12/5)/(3/10). Let v(x) = -x**3 + 9*x**2 - 7*x - 7. Suppose -2 = -5*d + h - 0, 2 = -4*d + 2*h. Calculate the remainder when v(u) is divided by d.
0
Suppose -190 = -4*j - 2*s, -8*j - 5*s + 245 = -3*j. Suppose i + 1 = 13. Calculate the remainder when j is divided by i.
10
Let q = 21 - 11. Suppose 8*u - 139 - 13 = 0. What is the remainder when u is divided by q?
9
Suppose 2*h + 1 - 3 = -3*x, -2*h - 2*x + 4 = 0. Calculate the remainder when 11 is divided by h.
3
Let f(n) = -2*n + 11. Let d be f(8). Let k = d - -8. Calculate the remainder when 9 is divided by k.
0
What is the remainder when (-28)/7 - (4/2 - 186) is divided by 26?
24
Let c(h) = h**3 - 3*h**2 - 8*h + 1. Let v(u) = u**3 - 3*u**2 - 4*u + 2. Let m be v(3). What is the remainder when c(5) is divided by (-64)/(-10) - (-4)/m?
5
Suppose -8 = 2*t - 84. Let i be (-2 - -1)/((-1)/3). Suppose i*z + 4 = -3*y + 31, -5*y - 4*z = -46. Calculate the remainder when t is divided by y.
8
Let c(t) = t**2 - 7*t + 8. Let v be c(8). Suppose 0 = 4*a - f - 0*f - 52, v = 4*f. Let g = a - 10. What is the remainder when 10 is divided by g?
2
Calculate the remainder when 159 is divided by ((-20)/25)/((-2)/80).
31
Calculate the remainder when (-726)/(-15) - 12/(-20) is divided by 17.
15
Let p = -8 + 10. Calculate the remainder when 31 is divided by (3 - (p + -1))*8.
15
Let u(n) = -9*n**3 + 4*n**2 + 2*n - 5. Let j(c) = -17*c**3 + 8*c**2 + 3*c - 9. Let t(d) = -4*j(d) + 7*u(d). What is the remainder when t(2) is divided by 8?
5
Let k be 3/3 + 95 - -3. Suppose -i + k = 2*i. Calculate the remainder when i is divided by 12.
9
Suppose 5*d - 4*b + 5*b = 28, 0 = 5*d + 2*b - 26. Suppose 0*g + 2*g = -2*a + d, -26 = -4*g + 3*a. What is the remainder when 12 is divided by g?
2
Let w be ((-4)/6)/(6/(-9)). Let b(j) = 14*j**3 + 2*j**2 - 1. Suppose 2 = -2*x + 5*f - 2, 0 = 5*x + f - 44. Calculate the remainder when b(w) is divided by x.
7
Suppose -d = 5*g - 10, 3*d - 31 = -2*g + 38. Let r(v) = -v**2 - 7*v + 3. Calculate the remainder when d is divided by r(-5).
12
Let j(z) = 6 - 2 - 4*z + 3*z. Calculate the remainder when -1*2 + 32 + -1 is divided by j(-6).
9
Let l = -80 + 129. Calculate the remainder when 96 is divided by l.
47
Suppose 0 = 2*s - 1 + 7, 0 = 2*x - 5*s - 3. Let m(d) = -2*d**3 - 4*d**2 - 3*d. What is the remainder when (54 - -1) + (x - -4) is divided by m(-3)?
26
Let u = 206 - 168. What is the remainder when u is divided by 13?
12
Let p be -1*(-13 + -4 + 1). Let x = -9 + p. Let j(n) = n + 1. Calculate the remainder when x is divided by j(4).
2
Suppose 1 = s - 2. Let i be (-20)/(-3) - s/(-9). Let b = i + 0. What is the remainder when 20 is divided by b?
6
Let r = -118 + 131. What is the remainder when 51 is divided by r?
12
Calculate the remainder when 38 is divided by (-1)/1 - (3 - 17).
12
Let a(b) = b. Let d be a(7). Let g(v) = 5*v + 4. Calculate the remainder when g(d) is divided by 4/(-10) - (-204)/10.
19
Let x(z) = 2*z**3 - 15*z**2 - 7*z + 3. Let j(l) = 2*l + 1. Let r be j(2). What is the remainder when (1 - 0)/(r/205) is divided by x(8)?
8
Let v(u) = 20*u - 21. What is the remainder when v(6) is divided by 25?
24
Suppose -3*r - 6*h + 36 = -5*h, -2*h - 36 = -3*r. What is the remainder when r is divided by 8?
4
Let s = 12 + -9. What is the remainder when 3 is divided by s?
0
Let g(l) = -l**3 - 12*l**2 - 15*l + 15. What is the remainder when g(-11) is divided by 15?
14
Let h(t) = 21*t**3 + t. Calculate the remainder when 41 is divided by h(1).
19
Suppose i = -15 + 22. Let g be (-2)/4 + 3/6. Suppose -83 = -3*d - r, 1 = d - 5*r - g. What is the remainder when d is divided by i?
5
Let b(u) = u - 4. Let g be b(6). Suppose -g*m + 28 = 2*m. What is the remainder when m is divided by 2?
1
Suppose -152 = -4*p + 164. Suppose -4*j = 5*v - 75, 7*j + 45 = 9*j - 5*v. What is the remainder when p is divided by j?
19
Let w(v) = 13*v**2 + | {
"pile_set_name": "DM Mathematics"
} |
derivative of 3459*w**3 - 582*w**2 - w + 1 wrt w?
20754
Find the third derivative of 29*p**4 + 34*p**2 - p.
696*p
Find the second derivative of -30*h**2*r**2 + 75*h**2 + h*r + 2*h + r**2 + 34 wrt h.
-60*r**2 + 150
Find the third derivative of -2*t**6 + 50*t**4 + 80*t**2 wrt t.
-240*t**3 + 1200*t
Find the second derivative of 8035*v**2 - 13401*v.
16070
Differentiate 2*b**2 - 15278*b - 20487 with respect to b.
4*b - 15278
What is the second derivative of 6915*h**2 + 1786*h?
13830
What is the third derivative of -243*j**3 - 7*j**2?
-1458
Differentiate -972*k*r**2*y**3 + 9423*k*y**3 - 3*k*y**2 - 10*r**2*y**2 wrt r.
-1944*k*r*y**3 - 20*r*y**2
What is the derivative of -52*l + 171?
-52
What is the second derivative of 6*k**3*w**2 - 2*k**3 + 3*k**2*w**2 - 2*k - 42*w**2 wrt k?
36*k*w**2 - 12*k + 6*w**2
Find the third derivative of 232*l**5 - 11*l**2 + l wrt l.
13920*l**2
What is the derivative of k**2 + 104*k - 563 wrt k?
2*k + 104
Differentiate -5702*s**3 + 2*s**2*v + s*v**3 - 2609*v**3 with respect to s.
-17106*s**2 + 4*s*v + v**3
Find the first derivative of 298*x**4 + 2945.
1192*x**3
Find the third derivative of -2*n**6 + 719*n**5 - 13*n**2 - 2.
-240*n**3 + 43140*n**2
What is the third derivative of 2*f**3*i**3*m + 22*f**3*i**2 - f**2*i*m + 12*f*i**3 - 8*f*m wrt f?
12*i**3*m + 132*i**2
Differentiate -34*b**2 + 4*b*x**2 + x**2 - 51 with respect to b.
-68*b + 4*x**2
What is the third derivative of -10638*u**4 + 488*u**2?
-255312*u
Find the second derivative of s**5 + 62*s**2 - 138*s.
20*s**3 + 124
Find the first derivative of 3*f**2*z**3 + 7*f**2 - 7*f*z + 16*f wrt z.
9*f**2*z**2 - 7*f
What is the third derivative of -27*n**5 - 3*n**3 - 25*n**2 wrt n?
-1620*n**2 - 18
Find the second derivative of 17789*n*x**5 + 5*n*x + 48*n - 12*x wrt x.
355780*n*x**3
Find the first derivative of 4*o*t**3 - 40*o*t**2 - 3*o*t - 3908*t**3 wrt o.
4*t**3 - 40*t**2 - 3*t
Differentiate 2*h**3 - 21*h*s - h - 262*s wrt h.
6*h**2 - 21*s - 1
What is the first derivative of 2*p**2 + 2*p + 6447?
4*p + 2
What is the first derivative of 24*n*z**2 - 3*n - 3*z**2 - 2*z + 2920 wrt z?
48*n*z - 6*z - 2
What is the third derivative of 648*c**3*g**3 + c**2*g**3 - 12*c**2*g**2 wrt c?
3888*g**3
Find the second derivative of 450*v**2 - 483*v wrt v.
900
What is the third derivative of 7*k*s*w**3 - k*s*w**2 - 3*k*s*w - 6*k*s - 2*s*w**3 + 3*w**3 wrt w?
42*k*s - 12*s + 18
What is the first derivative of 159*f**2*q + 351*f**2 + f*q - 2*q**2 + 1 wrt q?
159*f**2 + f - 4*q
What is the third derivative of -111*y**5 - 60*y**3 - 2*y**2 + 160*y - 4 wrt y?
-6660*y**2 - 360
What is the second derivative of -d**5 + 117*d**4 - 6*d**3 - 4500*d?
-20*d**3 + 1404*d**2 - 36*d
Find the second derivative of -265*a*y**2 - 2154*a*y wrt y.
-530*a
What is the first derivative of 6*b**2 + 37?
12*b
Find the third derivative of -3*c**2*u**3 + 3*c**2*u**2 - 4*c**2 - 2*c*u**4 + 31*c*u - 213*u**4 + 2*u**2 wrt u.
-18*c**2 - 48*c*u - 5112*u
Find the third derivative of 829*b**5 - b**4 + 63*b**2 + 3*b wrt b.
49740*b**2 - 24*b
Find the second derivative of 7*m**5*s - 4*m**2*s**2 - 6*m*s**2 + 43*s**2 wrt m.
140*m**3*s - 8*s**2
Find the second derivative of -2795*h**3 + 4487*h wrt h.
-16770*h
Find the third derivative of -3*h**2*q**5 - 377*h**2 - 115*h*q**6 - h*q**2 + q**2 wrt q.
-180*h**2*q**2 - 13800*h*q**3
What is the third derivative of -2*m**6 - 20*m**5 - 68*m**2?
-240*m**3 - 1200*m**2
Differentiate 3380*x + 802 with respect to x.
3380
Differentiate -8973*z**2 - 9357 wrt z.
-17946*z
Differentiate j*o*p*w**3 + 10*j*o*p*w**2 + j*o*w**3 + j*o + 43*o*w wrt p.
j*o*w**3 + 10*j*o*w**2
What is the second derivative of -83*x**5 - 4*x**2 - 279*x wrt x?
-1660*x**3 - 8
What is the third derivative of -9184*c**3 + 971*c**2 + 3 wrt c?
-55104
What is the first derivative of 14*i**2*r + 10*i - 4*r + 13 wrt i?
28*i*r + 10
Differentiate 14*k*q*w - 82*k*w + k - 1395*q*w with respect to k.
14*q*w - 82*w + 1
What is the second derivative of -692*d**5 + 569*d?
-13840*d**3
Find the second derivative of -4*c**2*h**3 - 36*c**2*h*x - 85*c*h**3*x - c*h**3 + 2*h**2*x wrt c.
-8*h**3 - 72*h*x
What is the second derivative of 24*o**5 - 10*o**4*t**3 - o*t**3 - 5*o*t - 30*o wrt o?
480*o**3 - 120*o**2*t**3
Find the third derivative of 144*p**3 + p**2 + 112 wrt p.
864
Find the third derivative of -c*i*t**3*u + 3*c*i*t**2*u + 5*c*t**3*u**2 + 2*c*t**2*u**2 - c*t**2*u - 2*i*t**3 + 10*i*t**2 - i*t*u wrt t.
-6*c*i*u + 30*c*u**2 - 12*i
What is the second derivative of -3*l**3*r**4 - 2*l**3 + 66*l**2*r + 8*l*r**4 wrt r?
-36*l**3*r**2 + 96*l*r**2
Differentiate 20*j**2*n**2*y - 620*j**2*y - 8*j*n**2*y with respect to n.
40*j**2*n*y - 16*j*n*y
Find the second derivative of -n**3*o**3*v - 5*n**3*o*v - 3*n**2*o + n*o*v + 3*o**4 - 2*o*v wrt o.
-6*n**3*o*v + 36*o**2
Differentiate -34*l*p**2*w**3 - 6*l*p**2 + l*w**3 - 5*p**2*w**2 - p**2 - 90*p*w**3 with respect to l.
-34*p**2*w**3 - 6*p**2 + w**3
Find the third derivative of -15802*w**6 - 204*w**2 - 5.
-1896240*w**3
Find the second derivative of i**2*p*q**2 + 2*i**2*p*q + 19*i**2*p + 2*i*p*q**2 - 45*p*q**2 - p*q + q wrt q.
2*i**2*p + 4*i*p - 90*p
What is the third derivative of 24*m**4 - 29*m**3*z**2 + 2*m**2*z**2 - 550*m**2 wrt m?
576*m - 174*z**2
What is the derivative of 15*a**4*v**2 + 5*a**4 + 159*v**2 wrt a?
60*a**3*v**2 + 20*a**3
What is the derivative of 2583*f**3 + 2569 wrt f?
7749*f**2
What is the third derivative of 2*h**6 + 46*h**4 - 187*h**2 wrt h?
240*h**3 + 1104*h
What is the third derivative of -461*g**6 - 929*g**2 - g?
-55320*g**3
Find the second derivative of -r**3*x**2 + r**3*x - r**3 - 211*r**2*x + 1720*x**2 wrt x.
-2*r**3 + 3440
What is the first derivative of 235*x + 279?
235
Find the first derivative of -17*h**2*z + 886*h**2 - 2*h*z wrt z.
-17*h**2 - 2*h
Find the first derivative of -57*q**3 - 98 wrt q.
-171*q**2
Differentiate 353*t - 488.
353
What is the third derivative of -1579*j**5 - 48*j**2 + 1 wrt j?
-94740*j**2
What is the first derivative of 116*p - 146 wrt p?
116
Differentiate 726*t*z**3 + 708*z**3 with respect to t.
726*z**3
What is the second derivative of -237*g**3*n**3 - 3*g**3 + 4*g*n**3 - 27*g*n wrt n?
-1422*g**3*n + 24*g*n
What is the first derivative of -o**3 + 5*o - 109 wrt o?
-3*o**2 + 5
Find the third derivative of -5454*f**4*x**3 - 3*f**2 - 163*x**3 - 2 wrt f.
-130896*f*x**3
Differentiate -c**3 - 34*c**2*n**3 + 125*n**3 + 2*n**2 with respect to c.
-3*c**2 - 68*c*n**3
Differentiate 197*d**2 + 186.
394*d
Find the third derivative of -394*w**6 + 23*w**3 - 177*w**2 - 5*w.
-47280*w**3 + 138
What is the derivative of 3*d**4*t + d**4 - 432*d*t + 142*t + 7 wrt d?
12*d**3*t + 4*d**3 - 432*t
Find the third derivative of -u**4 - 78*u**3 + 291*u**2 wrt u.
-24*u - 468
What is the second derivative of 4*b**5 - 3*b**2 - 197*b + 1 wrt b?
80*b**3 - 6
What is the second derivative of -39*s*v*x**2 + 13*s*v - 2*s*x - 2*v*x**2 - 16*x wrt x?
-78*s*v - 4*v
What is the second derivative of 3*v**5 - 115*v**3 + 367*v?
60*v**3 - 690*v
What is the second derivative of 302*a**2*d*n**2 - 4*a**2*d*n + 2*a**2*n + 2*a**2 + 2*d*n wrt n?
604*a**2*d
Find the third derivative of -1153*v**6 + 17*v**2 + 28*v wrt v.
-138360*v**3
What is the third derivative of -102*t**5 + 11*t**3 + 916*t**2 wrt t?
-6120*t**2 + 66
Differentiate -2*g**2*t**2 + 42*g**2 + 4*g*t**2 - 12*t**2 - 42 with respect to g.
-4*g*t**2 + 84*g + 4*t**2
Find the third derivative of -3*g**6 - 36*g**4 + 68*g**2 wrt g.
-360*g**3 - 864*g
What is the second derivative of 1554*g**3*m**3 - 3*g**3*m - 2*g**2*m + 4*g**2 - m**4 + 41 wrt m?
9324*g**3*m - 12*m**2
Find the third derivative of 948*j**5 + 932*j**2.
56880*j**2
What is the derivative of -4*b**3*c**2*s - 4*b**3*c**2 - 84*b**3*s - 6*b**2*c**2 - 4*b*c**2 wrt s?
-4*b**3*c**2 - 84*b**3
What is the second derivative of -g**3 - 4296*g**2 + 8599*g?
-6*g - 8592
Find the second derivative of -222*c**2*k**2 - 195*c*k**2 + c + 2*k**2 wrt c.
-444*k**2
Find the second derivative of -219*c**3 - 394*c + 1.
-1314*c
Find the second derivative of -2020*k**2*n*u**3 + k**2*n*u - k**2*u**3 + k*n + 52*k*u**3 - 3*n + 2*u**3 + 2*u**2 wrt k.
-4040*n*u**3 + 2*n*u - 2*u**3
Find the second derivative of 7977*d**5 + 6*d - 268 wrt d.
159540*d**3
What is the second derivative of 42*w**3*z**3 - 21*w**3*z - 9*w**2*z + w*z wrt z?
2 | {
"pile_set_name": "DM Mathematics"
} |
ind the common denominator of -35/36 and -31/1002.
6012
Calculate the least common multiple of 207 and 3542.
31878
Calculate the least common multiple of 12 and 243.
972
What is the smallest common multiple of 245 and 343?
1715
Find the common denominator of 61/9 and -127/24.
72
What is the least common multiple of 75 and 675?
675
Find the common denominator of 69/350 and 32/125.
1750
What is the least common multiple of 24 and 24?
24
Calculate the least common multiple of 44 and 208.
2288
Calculate the common denominator of 87/176 and -38/121.
1936
Calculate the smallest common multiple of 7 and 87.
609
Calculate the common denominator of -59/176 and 35/36.
1584
Calculate the lowest common multiple of 66 and 297.
594
What is the common denominator of -51/20 and 151/84?
420
Calculate the smallest common multiple of 77 and 77.
77
Calculate the common denominator of 29/4 and -101/772.
772
Find the common denominator of 107/80 and -13/220.
880
What is the common denominator of -99/284 and 137/60?
4260
What is the lowest common multiple of 135 and 50?
1350
What is the common denominator of -27/4360 and 17/140?
30520
Find the common denominator of 137/4930 and -17/30.
14790
Calculate the smallest common multiple of 126 and 133.
2394
Calculate the common denominator of 109/525 and -59/25.
525
What is the common denominator of -121/252 and 29/140?
1260
What is the smallest common multiple of 404 and 4?
404
Calculate the common denominator of 17/423 and 55/12.
1692
Calculate the smallest common multiple of 192 and 30.
960
Calculate the smallest common multiple of 14372 and 40.
143720
Calculate the common denominator of -25/8 and 43/620.
1240
Calculate the common denominator of 107/760 and 49/1045.
8360
What is the lowest common multiple of 24 and 20?
120
What is the lowest common multiple of 152 and 320?
6080
Calculate the lowest common multiple of 9 and 3492.
3492
What is the smallest common multiple of 15 and 867?
4335
Calculate the lowest common multiple of 8224 and 16.
8224
Find the common denominator of 17/874 and -83/368.
6992
Find the common denominator of 37/33 and 107/276.
3036
What is the least common multiple of 20 and 210?
420
Calculate the least common multiple of 50 and 20.
100
What is the lowest common multiple of 78 and 4?
156
Calculate the common denominator of 27/5 and 62/105.
105
What is the common denominator of -23 and 93/10?
10
Find the common denominator of -37/131 and 27.
131
What is the smallest common multiple of 60 and 1116?
5580
What is the common denominator of -83/885 and 125/12?
3540
What is the common denominator of 77/15 and -31/222?
1110
What is the least common multiple of 9 and 54?
54
Find the common denominator of 193/330 and 103/30.
330
Calculate the common denominator of 69/40 and -21/104.
520
Calculate the least common multiple of 226 and 12.
1356
Calculate the common denominator of 35/41 and -111/70.
2870
What is the common denominator of -5/3913 and -62/35?
19565
Calculate the common denominator of 5/3 and 28/1075.
3225
What is the smallest common multiple of 14 and 162?
1134
What is the lowest common multiple of 286 and 260?
2860
Calculate the least common multiple of 126 and 126.
126
What is the common denominator of -61/4335 and -35/867?
4335
Calculate the smallest common multiple of 245 and 42.
1470
Calculate the least common multiple of 33 and 387.
4257
What is the common denominator of -151/2856 and -17/44?
31416
What is the common denominator of 85/16 and 73/172?
688
What is the common denominator of 137/490 and 79/1078?
5390
What is the least common multiple of 22 and 44?
44
What is the common denominator of 13/24 and 5/171?
1368
What is the common denominator of 67/1526 and -13/70?
7630
Calculate the lowest common multiple of 3058 and 198.
27522
Calculate the lowest common multiple of 1350 and 45.
1350
Find the common denominator of 37/10 and -29/5825.
11650
Find the common denominator of -34/777 and -69/370.
7770
What is the common denominator of 85/104 and 37/143?
1144
Calculate the least common multiple of 252 and 14.
252
What is the common denominator of -87/8 and -7/16?
16
What is the common denominator of -19/406 and 107/348?
2436
Calculate the lowest common multiple of 8 and 484.
968
What is the lowest common multiple of 23 and 184?
184
What is the common denominator of 13/20 and -97/52?
260
What is the common denominator of 31/170 and 47/10?
170
Calculate the common denominator of 197/8250 and 43/12.
16500
What is the common denominator of -151/138 and 49/128?
8832
What is the smallest common multiple of 40 and 36?
360
Find the common denominator of -11/20 and 29/2084.
10420
Calculate the lowest common multiple of 1050 and 70.
1050
Calculate the smallest common multiple of 360 and 8.
360
Calculate the common denominator of 95/296 and -83/296.
296
Find the common denominator of 131/18 and 25/3.
18
Calculate the common denominator of -37/1845 and 7/150.
18450
Calculate the least common multiple of 44 and 9784.
107624
What is the common denominator of -75/272 and -59/28?
1904
What is the smallest common multiple of 9 and 548?
4932
Calculate the smallest common multiple of 1 and 60.
60
Calculate the lowest common multiple of 1100 and 20.
1100
What is the least common multiple of 150 and 1150?
3450
Calculate the least common multiple of 9 and 17618.
158562
Calculate the smallest common multiple of 25 and 10.
50
What is the common denominator of -5/9048 and -73/16?
18096
Calculate the least common multiple of 96 and 24.
96
What is the smallest common multiple of 3 and 314?
942
Calculate the common denominator of -123/1520 and 81/320.
6080
Calculate the least common multiple of 5944 and 18.
53496
Find the common denominator of -79/488 and -59/20.
2440
What is the lowest common multiple of 267 and 21?
1869
What is the smallest common multiple of 1880 and 1692?
16920
Calculate the least common multiple of 444 and 259.
3108
Calculate the common denominator of -163/126 and -3/4.
252
Calculate the common denominator of 55/26 and 127/24.
312
Calculate the least common multiple of 12 and 194.
1164
Calculate the least common multiple of 20 and 25322.
253220
What is the lowest common multiple of 44 and 55?
220
Calculate the smallest common multiple of 1488 and 1.
1488
Calculate the lowest common multiple of 7826 and 4214.
54782
Calculate the least common multiple of 10 and 20.
20
What is the least common multiple of 5595 and 6714?
33570
Find the common denominator of 22/15 and -41/15.
15
What is the lowest common multiple of 21 and 3?
21
What is the lowest common multiple of 20 and 1848?
9240
Calculate the lowest common multiple of 2088 and 116.
2088
Find the common denominator of 65/8 and -57/16.
16
Calculate the lowest common multiple of 2556 and 8.
5112
What is the lowest common multiple of 25 and 20?
100
Calculate the lowest common multiple of 6 and 48.
48
What is the lowest common multiple of 4 and 11161?
44644
Calculate the least common multiple of 7498 and 10.
37490
Calculate the common denominator of -85/2 and -101/16.
16
What is the common denominator of -65/66 and -26/7?
462
Calculate the least common multiple of 20 and 2288.
11440
What is the lowest common multiple of 6 and 1366?
4098
What is the least common multiple of 3 and 2759?
8277
Calculate the common denominator of 3/55 and -43/2730.
30030
Find the common denominator of 107/176 and -95/4928.
4928
Calculate the common denominator of 107/1200 and -86/15.
1200
Calculate the common denominator of 33/8 and -71/596.
1192
What is the common denominator of 13/9 and -16/11?
99
Calculate the common denominator of -41/198 and 25/432.
4752
Calculate the least common multiple of 243 and 378.
3402
What is the least common multiple of 1001 and 143?
1001
What is the least common multiple of 2 and 52?
52
What is the smallest common multiple of 22 and 1390?
15290
Calculate the common denominator of 51/5 and -48.
5
Calculate the common denominator of -40/49 and 143/2058.
2058
What is the common denominator of -46/81 and 14/15?
405
Calculate the lowest common multiple of 176 and 112.
1232
Calculate the smallest common multiple of 14 and 24.
168
Calculate the common denominator of 68/219 and 97/1460.
4380
Calculate the common denominator of 20/31 and -85/2 | {
"pile_set_name": "DM Mathematics"
} |
?
1
Suppose 2*o - 533 = -23. Let r = o - 112. What is the hundreds digit of r?
1
What is the hundreds digit of (-50)/225 + (-27418)/(-18)?
5
Let t = 6508 - 4338. What is the units digit of t?
0
Let d = -215 - -278. What is the units digit of d?
3
Suppose -4*k - 3*z = -32, -2*k + 7*k = 4*z + 9. What is the units digit of (-31 + 13)*k/(-2)?
5
Let a(y) = 4*y**2 - 2*y + 1. Let f be a(1). Suppose 4*n + 406 = 5*h, -7 = f*h - 2*n - 251. What is the units digit of h?
2
Let g(k) = -22*k - 160. What is the hundreds digit of g(-23)?
3
What is the units digit of (506/33 - 12)*33?
0
Suppose -k - 4 = -0*k, 2*w - k = 8. Suppose -3 = -w*r + 5. Suppose 0 = -r*x + 4, -3*d - x = -2*x - 68. What is the units digit of d?
3
Suppose -25 = -5*v, 0 = 2*k - 11*v + 16*v - 8335. What is the hundreds digit of k?
1
Let y = 486 - -429. What is the tens digit of y?
1
Let y(p) = p**2 + 4*p - 7. Let w be (75/(-18) + (-4)/(-6))*2. What is the units digit of y(w)?
4
Let f(z) = -4*z**3 + 3*z**2 + 6*z + 6. Let j be f(-3). Let k = -82 + j. What is the tens digit of k?
4
Let k(n) = -n**2 + 12*n + 3. Suppose 0*w - 30 = -3*u - 3*w, 4*u = 3*w + 54. Let x be k(u). Suppose 0 = 5*v - x*v - 38. What is the tens digit of v?
1
Let l(u) = 56*u**2 - 45*u - 266. What is the tens digit of l(-6)?
2
Let f(q) = 67*q - 8. Let z be f(-4). Let l be (-39)/2*z/18. Suppose 0 = -4*a - 5*p + 226, -5*a + 4*p - 2*p = -l. What is the tens digit of a?
5
Suppose b = 3 - 1. What is the units digit of (-41)/(3 + (b - (-11)/(-2)))?
2
Suppose -4*t - 74 = 62. Let b be 10/45 - t/9. Let f = b + 11. What is the units digit of f?
5
Let w(s) = 2*s**3 + 2*s**2 + 4*s + 790. What is the units digit of w(0)?
0
Let u(d) = 46*d + 1063. What is the thousands digit of u(45)?
3
Let t be 17/5 + 2/(-5). Let i(a) = -6*a - 12. Let v be i(-7). Suppose v = p - t. What is the units digit of p?
3
Suppose -2*j + 11654 = 4*p, 2*p + 4*j - 1538 - 4280 = 0. What is the thousands digit of p?
2
Let m be 9/(-6) + 2/((-8)/(-442)). Suppose 3*h + 5*x = -76 + 382, -4*x + m = h. What is the tens digit of h?
9
Let k(o) = 107*o + 11. What is the units digit of k(3)?
2
Let y be -8 + (-3 - (-21)/(6 + -3)). Let f(k) = -2*k**3 + k**2 + 6*k - 4. What is the units digit of f(y)?
6
Let n = 229 - -375. What is the units digit of n?
4
Let i = -119 - -121. Suppose -19*b + 2016 = i*b. What is the units digit of b?
6
Let d(t) = 7*t**2 + 17*t - 45. What is the tens digit of d(9)?
7
Let c(j) = 5*j + 1. Let a be (21/(-9) - 0)*-3. Let q(m) = -m**3 + 6*m**2 + 7*m + 2. Let h be q(a). What is the units digit of c(h)?
1
Let o(s) = 36*s**2 - 9*s - 31. What is the tens digit of o(-4)?
8
What is the hundreds digit of (5 - 6129/(-5)) + 2/10?
2
Let n = -72 - -135. What is the units digit of n?
3
What is the tens digit of 7 + 1 - (-15504)/19?
2
Let a = 416 - 142. What is the hundreds digit of a?
2
Suppose -802 = -3*u - 2*x, 349 = 3*u + 5*x - 441. Suppose 4*l + 4*f - 316 = 0, u = 4*l + 3*f - 43. Let j = l - 25. What is the tens digit of j?
5
Let u(n) = 14*n + 1177. What is the thousands digit of u(0)?
1
Suppose 8*f - 20 = 4*f. Suppose 3*v - 432 = -5*o + 684, 5*v + 1100 = f*o. What is the hundreds digit of o?
2
Suppose -4*q - 3*j + 21 = 0, 4*q - 3*j = -q + 6. Suppose 0*l + 32 = 2*l. Suppose -l = -q*a + 92. What is the tens digit of a?
3
Suppose 4*y - 5*w + 14 = 34, -5*y - 3*w = 12. What is the units digit of (43/1 - y) + (2 - 1)?
4
Suppose -2*i = -8 + 14, j = -i + 391. What is the units digit of j?
4
Suppose 2*z - 4*o = 122, 14*o - 10*o = -5*z + 375. What is the tens digit of z?
7
Let i be -19 - -18 - (-388)/(-2). Let f = 394 + i. What is the tens digit of f?
9
Let n(r) = -r**2 + 3*r + 6. Suppose -o + 4 = 2. Suppose 4*g + 21 = 5*x + o, x - 5*g = 8. What is the units digit of n(x)?
6
Let h = -37 + 45. Suppose -h*b + 360 = -168. What is the units digit of b?
6
Suppose 0 = 6*c - c + 40. What is the units digit of (0/(-5))/(-3) - c?
8
Suppose -10113 = -9*t + 1155. What is the tens digit of t?
5
Suppose 2*l - 4248 = -22*l. What is the tens digit of l?
7
Let z be 1*(11 - 3)/4. Suppose -4*v + 63 - 8 = -d, 0 = -z*v - 4*d + 32. What is the units digit of v?
4
Suppose 19*p = 17*p + 50. Suppose -p = 5*f, 67 = i - 4*f - 6. What is the units digit of i?
3
Let f = 1980 + -1962. What is the units digit of f?
8
Suppose 8*t - 1220 = 3996. What is the units digit of t?
2
Let y be (-40)/(-18) + (-4)/18. Suppose 4*q - y*l - 628 = 0, 6*l - 6 = 3*l. What is the units digit of q?
8
Let x(y) = -y**2 + 11*y - 7. Let a be x(10). Suppose -a*w + 200 = w. Suppose -5*p - r + w + 55 = 0, 2*r = 0. What is the tens digit of p?
2
Let z = -5 - -12. Suppose 0 = 3*p - 5*d + 3, p + d - z = -0*p. Suppose 3 = -q - w + 25, -3*q + 71 = p*w. What is the tens digit of q?
1
Suppose 3*q - 6519 = -5*f + 723, 0 = -f + 3*q + 1452. What is the thousands digit of f?
1
Let o(j) = j**2 + 18*j - 35. Let v = 93 - 119. What is the hundreds digit of o(v)?
1
Let o(h) be the first derivative of 7*h**3/3 + 2*h**2 + 2*h - 4. Let q(l) = -l**3 + 2*l**2 + l + 4. Let v be q(3). What is the units digit of o(v)?
2
Suppose 4*p - 1018 = -2*h, h = -0*p - 4*p + 509. What is the tens digit of h?
0
Suppose -3*z = 3*s + s + 664, -4 = -z. Let w = 294 + s. What is the tens digit of w?
2
Let a(d) = 7*d**2 - 4. Suppose 0 = h + r + 2 - 0, 4*h = 4*r. Let n = 4 + h. What is the tens digit of a(n)?
5
Let m(i) = 8*i - 40. Let j be m(7). Suppose -j*k + 14*k = -20. What is the tens digit of k?
1
What is the tens digit of 394/4 - (-2)/4?
9
Let u = 302 + -213. What is the units digit of u?
9
Let a = -34 - 66. Let s = a - -63. Let o = s + 44. What is the units digit of o?
7
Let y(o) = -4*o + 7. Let g(c) = 2*c - 5. Let l be g(5). Suppose 4*k + 2*s = -22, -23 = l*k - 2*s + 3*s. What is the units digit of y(k)?
3
Suppose 4*t = -20 + 184. Let x = t - 23. Suppose 4*h = 3*l - l - 12, 4*h - x = -3*l. What is the units digit of l?
6
Suppose -14 = -2*m - 0*k + 2*k, -15 = 3*k. Let b(l) = 13*l - 5. What is the tens digit of b(m)?
2
Let s(g) = g**3 + 32*g**2 - 42*g + 273. What is the tens digit of s(-30)?
3
Let s = 14 - 9. Suppose -s*f = -4*z + 22, -5*z = -f + 17 - 55. Suppose 2*i + j - 38 = 0, -5*i - 3*j = -z*j - 80. What is the tens digit of i?
1
Suppose 4*v - 2*v - 10 = 0. Suppose 0 = -0*i - 2*i - 5*n + 171, -390 = -v*i - 5*n. What is the units digit of i?
3
Let p(q) = -4*q + 29 + 2*q + q. Let x be p(13). What is the units digit of -4*(-6 - x/(-4))?
8
What is the units digit of (-21)/((-168)/2096)*1/1?
2
Let s be 0 - 1*(-5)/1. Suppose -7*i + 72 = -s*i. What is the units digit of i?
6
Let w(a) = -4*a**3 - 1 + 4*a**3 + a**3 - 3*a**2 - a + 7*a**2. Let r be w(-4). Suppose -r*n - 5*d + 34 = 0, -2*n = -0*n + d - 32. What is the tens digit of n?
1
Let q be 273/(-78) - 6/4. Let m(j) = -3*j**2 + j - 23. Let t(i) = i**2 + 11. Let v(h) = -2*m(h) - 5*t(h). What is the tens digit of v(q)?
2
Suppose -35 = -5*q + 290. Suppose -x + q = -2*f - 0, -187 = -3*x - 2*f. What is the units digit of x?
3
Let g(n) = n**2 + 6*n + 1 + 0*n**2 + 6. What is the units digit of g(-11)?
2
Let b = 1135 - 541. What is the hundreds digit of b?
5
What is the hundreds digit of 36/((3/(-50))/((-144)/45))?
9
Let x(i) be the second derivative of 1/6*i**3 - 5*i - 3/2*i**2 + 0. What is the units digit of x(8)?
5
Let o be 1441/7 - (-10)/70. Suppose g - o = -4*v, -2*v - 2*g = 2*g - 96. What is the units digit of v?
2
Let g be -3 + (13*9)/3. Let f = g + -70. Let i = -17 - f. What is the units digit of i?
7
Let t be -60*((-12)/15 - 0). Suppose -2*g + 23 = -33. Let c = t - g. What is the units digit of c?
0
Suppose 20*g + 1060 = 24*g. What is the tens digit of g?
6
Let s(o) = 86*o - 22. Let k be s(9). Suppose -4*l - 304 = -k. What is the tens digit of l?
1
What is the units digit of (-8)/6*(-207)/6?
6
Let s = -33 + 65. Let o = s - -76. What is the units digit of o?
8
Let x = 4 - -2. Suppose x*q = 4*q + 84. Suppose 4*d - q = d. What is the tens digit of d?
1
Suppose -3*b - 94 = -259. Suppose 0 = -4*v - b + 167. What is the tens digit of v?
2
Suppose 0 = -36*q + q + 71015. What is the units digit of q?
9
Suppose 5*q - 2*a = -4*a + 14876, -a - 5945 = -2*q. What is the hundreds digit of q?
9
Suppose o - 3 = 3*l + 9, 5*l + 2*o + 20 = 0. Let j(f) = -2*f**3 - 3*f**2 - f - 9. What is the units digit of j(l)?
5
Let g = 3139 + | {
"pile_set_name": "DM Mathematics"
} |
**3 + n*g**2 + w and give b.
60
Express -115 + 450 - 4*c**2 - 114 - 49*c - 109 - 113 as x*c + n + o*c**2 and give x.
-49
Rearrange -988*f**2 - 797*f**2 - 568*f**2 - 965*f**2 + 2 + 1119*f**2 to u + m*f + j*f**2 and give j.
-2199
Rearrange (0 - 1 - 109*x + 101*x)*(-4 + 4 + x**2)*(-9*x - 10 + 10) to the form h*x**3 + d*x**2 + j*x + u + l*x**4 and give h.
9
Express -4253 - 7265*j + 4253 in the form g*j + k and give g.
-7265
Rearrange (-11511*i + 5693*i + 59 + 5766*i)*(i**2 - i**2 + 2*i**2) to the form n + a*i + z*i**3 + w*i**2 and give w.
118
Express 0 + 20*z - 4 + 164 - 24*z + 361 as i + o*z and give i.
521
Rearrange -10*i + 4 - 12*i**3 - 6755905*i**2 + 6755905*i**2 to the form h*i**2 + l*i + s + q*i**3 and give l.
-10
Express (-153 + 4 - 121)*((-6 + 2 + 2)*(-u - 3*u + 2*u) + 2*u + 0 + 0 + 4*u - 2*u + 2*u - 2*u - u + u) as p + s*u and give s.
-2160
Express (-x - 3*x - 3*x)*(-24*x + 11*x - 25*x)*(-x - x - x) in the form z*x + t + q*x**2 + i*x**3 and give i.
-798
Express -26117 + 52234 - 26117 - 37017*q as k*q + p and give k.
-37017
Rearrange -2067 + 1311*j + 4134 - 2067 to the form p*j + n and give p.
1311
Rearrange (-x + 4*x - 88550 - 90980 + 173125)*(-1 + 2 + 0) to the form k*x + y and give y.
-6405
Rearrange (9 + 13 + 4)*(-40 + 846 - 2*c - 3751 - 479) to the form o*c + m and give o.
-52
Rearrange (673 + 8*x - 673)*(-43 + 67*x + 22 + 22) to the form i*x**2 + c*x + y and give i.
536
Rearrange -1 - 41*o**3 + 2*o**2 + 4*o**4 + 0 - 14*o**4 + 12*o**3 + 30*o**3 - 9*o to u*o**3 + c + f*o**4 + q*o + a*o**2 and give a.
2
Rearrange -19*m**2 - 26*m**2 - 14*m + 30*m**2 + m - 7*m to a + t*m**2 + q*m and give q.
-20
Express -4 - 20*f**3 + 25*f**2 - 67*f**2 + 3 + 17*f**3 as v + g*f + x*f**3 + m*f**2 and give v.
-1
Express 1208 + 571 + p - 291 as b + j*p and give b.
1488
Rearrange -17 - 2881806*l**3 + 413*l + l**2 - l**2 + 2881807*l**3 to the form w*l**3 + k*l + q + z*l**2 and give k.
413
Rearrange -1 + 3 + 2782*b**2 + 121*b + 31*b - 152*b to the form p*b**2 + w + q*b and give p.
2782
Rearrange (-6*b - 17*b - 9*b)*(-2067 - 19*b + 2067)*(-7 + 6 + 8) to the form g + z*b**2 + i*b and give z.
4256
Rearrange 2*g**2 + 108*g**4 - g**2 + 102*g**4 - 130*g - 6*g**2 - 203*g**4 to v*g**3 + w*g**2 + o*g + u*g**4 + t and give o.
-130
Rearrange -2418*k - 339*k - 1190*k + k**2 to the form w*k**2 + u + y*k and give w.
1
Express (-4137 + 2110 - 12*n + 2101 + (3*n + 2*n - 3*n)*(-3 - 1 + 2))*(-2*n - 2*n + 2*n)*(0 + 6 - 5) as z*n**2 + g + h*n and give h.
-148
Express -25 + 49*q**2 + 1 + 9 + 17 + 2*q + 0*q as v*q**2 + z*q + p and give p.
2
Rearrange -4*s**3 + s**2 - 2*s**2 - s**4 + 3*s**4 + 185179 + s**3 - 185177 - 24*s to the form u*s**4 + o*s**3 + j + y*s**2 + x*s and give u.
2
Express (4 - 1 - 2)*(11*c + 30*c + 11*c - 6 + 44*c) as i*c + a and give a.
-6
Express -2*s - 3*s + 4*s + (-2 - 1 + 2)*(-2*s - 4*s + 4*s) - 8 - 35 + 54 - 10*s + (2*s + 8*s - s)*(-2 - 4 + 4) in the form c*s + w and give w.
11
Express (-3 + s + 6 - 2 + (0*s + 3*s - 2*s)*(1 - 5 + 2) + s + 1 - 1 + 4*s + 0*s - 6*s)*(0 + 51 - 11)*(4*s - 7*s + 8*s) as q*s + y + m*s**2 and give q.
200
Rearrange (5642*f + 12542*f + 0 - 3226*f + 0)*(-1 + 4*f + 1) to r*f + k + z*f**2 and give z.
59832
Express (2*o + 0*o - o)*(-19*o + 16*o - 47*o)*(-5*o**2 + 5*o**2 - 3*o**2) + 8*o**4 - 47 + 47 as l*o**4 + f + u*o**2 + t*o**3 + s*o and give l.
158
Express 5*s**2 - 31*s**2 + 4*s**2 - 13*s**2 - 251 + 27*s**2 in the form m + k*s + w*s**2 and give m.
-251
Rearrange -1336*n**2 + 1148 + 2669*n**2 - 1332*n**2 to u + h*n**2 + l*n and give h.
1
Rearrange (-7908*u - 4255 + 7906*u - 5307)*(-5*u**3 + 4*u**3 + 0*u**3) to p + a*u**2 + q*u + j*u**4 + x*u**3 and give x.
9562
Express 511*y - 1551 + 1551 as j*y + p and give j.
511
Rearrange 2*j**3 + 2 + 23*j**2 + 8*j**3 - 15038*j + 15036*j - 24*j**2 + 12*j**4 to c + o*j + s*j**3 + b*j**4 + z*j**2 and give z.
-1
Rearrange (-937 + f - 923 + 1781)*(23*f - 3*f - 3*f) to c + s*f + o*f**2 and give s.
-1343
Rearrange -14*o**3 + 62 - 5*o**3 + o**2 + 14*o**3 + 3*o**3 + (o**2 + 7*o**2 + o**2)*(3 + o - 3) to the form z*o**2 + m + k*o + v*o**3 and give z.
1
Express -3*o**3 + 8 + 170 + 41886*o + 3*o**4 - 41885*o - o**2 as z*o**3 + r*o + l + t*o**4 + d*o**2 and give d.
-1
Rearrange 1159*r**3 - 583*r**3 + r + 2*r**2 - 579*r**3 - 31*r**4 to the form x*r**4 + p*r**2 + b*r + z*r**3 + i and give i.
0
Express (1 + 1 - 3 + 6 - 4 + 8 + (-1 - 3 + 2)*(0 - 3 + 4) + 3 - 6 + 1)*(863*g - 73*g - 102*g) in the form x + m*g and give x.
0
Express 2 - r**3 - 4*r**2 - 24*r**2 - 266305*r + 266278*r as w*r + y + c*r**3 + m*r**2 and give y.
2
Rearrange -349*i + 325*i + 6 + 6144*i**2 - 6145*i**2 to the form v + o*i + u*i**2 and give o.
-24
Rearrange (-5*q + 7*q + 2*q)*(2*q + 10*q + 19*q) + (-3 + 4 - 2)*(-10*q**2 - q**2 - 2*q**2) to y*q**2 + x + m*q and give y.
137
Rearrange -307*a**2 + 3612 + 788*a**2 - 10837 + 3608 + 3613 + 2*a**3 to g + t*a + s*a**2 + w*a**3 and give t.
0
Rearrange (-k + 5*k - 3*k - 2)*(-186 + 414 - 169)*(-1 + 3*k**2 + 1) to f*k + l + n*k**3 + o*k**2 and give n.
177
Rearrange -8211*d**2 - 8214*d**2 + 60 + 5*d + 16428*d**2 to a*d**2 + y + s*d and give s.
5
Express -565 - g**3 + 968*g + 247 + 2*g**2 + 318 as z + b*g + u*g**2 + x*g**3 and give x.
-1
Express -2*k**2 - 17*k + 4230*k**4 - 4231*k**4 - 2*k**3 + 2*k**3 + 0*k**2 - 29 in the form o*k + j + w*k**4 + a*k**2 + p*k**3 and give a.
-2
Express (-5*s**4 + 0 - 2 + 3*s**4)*(149 - 1036 + 87) as f*s**4 + z*s**3 + g*s**2 + v + m*s and give v.
1600
Express (14 - 14 + 5*m**2)*(-2319 - 752 + 978) + (-4 + 2*m + 4)*(m + 3*m - 3*m) in the form p*m**2 + c + o*m and give p.
-10463
Rearrange 67*u - 10*u - 186*u - 5 - 141*u + 2*u**2 to v + f*u**2 + j*u and give j.
-270
Rearrange 53832*k - 107928*k + 4*k**2 + 53903*k to m + w*k**2 + d*k and give w.
4
Express (4 - 7 + 280*j - 277*j)*((-16*j**2 + j**2 + 5*j**2)*(0 + 2*j + 0) + 5*j**3 + 5*j**3 - 5*j**3) as w*j**2 + b*j**4 + a + f*j + k*j**3 and give b.
-45
Express (-j**2 - j**2 + 0*j**2)*((0*j - 2*j + 0*j)*(-3 - 2 + 3) - 831*j + 190*j - 736*j) as v + f*j**2 + a*j**3 + q*j and give a.
2746
Rearrange (-54 - 142*k**2 - 58 + 112)*(-260 + 492 - 16) to the form g*k**2 + j + x*k and give g.
-30672
Express (0*r + 4*r - 6*r)*(-281*r - 625*r + 178*r) + 2 - 71*r + 10*r**2 + 71*r - 2 in the form s*r + h*r**2 + t and give s.
0
Rearrange 22701*t - 5860*t + 13 - 5762*t - 5975*t - 6055*t to f*t + r and give r.
13
Express (-7 + 7 + 6*f**3)*(144 - 311 + 471 + 647) in the form o*f**3 + y + x*f**2 + a*f and give y.
0
Rearrange -5194*w**2 - 3 + 121*w**3 - 5202*w**2 + 10395*w**2 to a*w**3 + k*w**2 + m*w + h and give k.
-1
Express 961 - 10*j - 1930 + 969 + 51*j - 96*j**3 in the form h*j + q*j**2 + y*j**3 + u and give u.
0
Rearrange (-l - 2*l**2 + l)*((l - 1 + 1)*(61 - 18 + 70) - 3*l + 2 + 8*l + 1) to x*l**2 + c*l + b + z*l**3 and give b.
0
Rearrange 33008 + 9160*g**4 - 33008 + (2*g**3 + 2*g**3 - 3*g**3)*(-2*g + 6*g - 3*g) to n*g**3 + v + h*g**4 + p*g + z*g**2 and give h.
9161
Rearrange -2*j - 20*j**2 + 27498*j**4 - 13679*j**4 - 13698*j**4 to i + q*j**4 + d*j**2 + s*j**3 + b*j and give s.
0
Express -28896589*b - 3*b**2 + 28896589*b + 113*b**3 as t*b**3 + w + m*b**2 + c*b and give m.
-3
Rearrange -2*m**3 + 124 - 90 - 14*m**2 - 3*m + m - 46 to a*m**2 + h*m**3 + t*m + v and give t.
-2
Rearrange -279*f**2 - 2*f**4 + 2*f - 361*f**2 + 6 + 675*f**2 + 2*f**3 to g*f + m*f**3 + v*f**2 + l*f**4 + d and give g.
2
Rearrange 133*t**2 - 54896*t + 109789*t - 16*t**2 - 54891*t - 3 + (2*t**2 + 2*t**2 - 6*t**2)*(1 - 1 - 2) to the form h + x*t + r*t**2 and give x.
2
Rearrange 1009*s**2 + 158 + 6*s - 157 - s - 10*s to w*s**2 + d + c*s and give d.
1
Rearrange -257 - 1382*y + 7285*y + 257 + 5163*y to the form n*y + f and give n.
11066
Rearrange (-3 - 7*z + 3)*(-13 - 230*z + 76*z + 87*z) to l + a*z + o*z**2 and give o.
469
Rearrange (18 - 10 + 11)*(-53*z - 15*z - 55*z + 3 + 2*z - 3 + (5*z - z - 2*z)*(6 - 2 - 2)) to the form h + m*z and give m.
-2223
Express 3*h**3 + 7746*h + 3 - 4*h**3 + 3*h**2 - 6*h**4 - 7713*h as y + i*h**2 + w*h**3 + d*h + o*h**4 and give y.
3
Rearrange -2*i - 19323*i**2 + 0*i + 65 + 9650*i**2 + 9637*i**2 to v*i**2 + b*i + r and give v.
-36
Rearrange (0 - 3 - 9 + (6 - 1 - 3)*(15 - 11 + 10) + 2 - 4 + 1)*(0*y + y - 7*y) to the form s + d*y and give d.
-90
Express -30*c | {
"pile_set_name": "DM Mathematics"
} |
4, -20, 8, 3, 7, -1.
-20, -1, 3, 4, 7, 8
Sort -5, -304/11, -2/3, -0.3, 3.
-304/11, -5, -2/3, -0.3, 3
Put -0.1, -2/2273, 5 in decreasing order.
5, -2/2273, -0.1
Put -13, -4, -526, -5, 2 in ascending order.
-526, -13, -5, -4, 2
Sort 4, 3, -100 in ascending order.
-100, 3, 4
Put 2/9, -1/3, -1766 in descending order.
2/9, -1/3, -1766
Sort 4, 19/2, -3/8, 16, 5, 13.
-3/8, 4, 5, 19/2, 13, 16
Put 4, -4, 19, 216, 3 in increasing order.
-4, 3, 4, 19, 216
Put 2/53, 0.5, -2, 297 in descending order.
297, 0.5, 2/53, -2
Sort -4, 19, -27, 5, 1, 4 in decreasing order.
19, 5, 4, 1, -4, -27
Sort -701, -4, 3, 11.
-701, -4, 3, 11
Sort 15, -1195, 1 in descending order.
15, 1, -1195
Put -2, -4, 2, 74, -93, 4 in increasing order.
-93, -4, -2, 2, 4, 74
Sort -1, -18, 2, -11, 5 in increasing order.
-18, -11, -1, 2, 5
Put -20, 2, -4, -3, 6 in decreasing order.
6, 2, -3, -4, -20
Sort 1635, -5, -0.1, 0.5, 0.1 in increasing order.
-5, -0.1, 0.1, 0.5, 1635
Sort -5, 10, -2, 1921 in ascending order.
-5, -2, 10, 1921
Put -1, 725, 30 in decreasing order.
725, 30, -1
Sort -2, 3, 10, -11, 0 in decreasing order.
10, 3, 0, -2, -11
Sort -262, -2/23, 0, 61 in decreasing order.
61, 0, -2/23, -262
Sort 0.4, 4/7, 3, -571, 0.3, -4/3 in decreasing order.
3, 4/7, 0.4, 0.3, -4/3, -571
Put 72, 0, -0.04 in ascending order.
-0.04, 0, 72
Put -5742, 5, 0, -23 in decreasing order.
5, 0, -23, -5742
Put -30, 7, -380 in ascending order.
-380, -30, 7
Put 6, 7, 57, 0 in decreasing order.
57, 7, 6, 0
Put 0, -3, 1, 3489, 14 in ascending order.
-3, 0, 1, 14, 3489
Put -12, 0, -14, -1, 4, 17 in descending order.
17, 4, 0, -1, -12, -14
Sort 0.19, -100/3, -1/5, 0.49 in ascending order.
-100/3, -1/5, 0.19, 0.49
Sort 2/13, 2796, 0.5, -0.1, 0.4 in decreasing order.
2796, 0.5, 0.4, 2/13, -0.1
Sort 1, -7, -5, 4, 9, 5 in decreasing order.
9, 5, 4, 1, -5, -7
Put -99, -5, -3, -18 in decreasing order.
-3, -5, -18, -99
Sort 75, -1, 345, 5, -3, -5.
-5, -3, -1, 5, 75, 345
Sort -0.2, 178, 3, 4, -0.5, -2 in ascending order.
-2, -0.5, -0.2, 3, 4, 178
Put 3, 26, 4, 1, -3 in descending order.
26, 4, 3, 1, -3
Sort 1, -4, 45, -13 in descending order.
45, 1, -4, -13
Put -89, -10/13, -1/2 in decreasing order.
-1/2, -10/13, -89
Sort 1/12, 3, -38, 7, 14/15 in decreasing order.
7, 3, 14/15, 1/12, -38
Put -4, 5, 258, -5, -285, 2 in increasing order.
-285, -5, -4, 2, 5, 258
Put 2, -4, -5, 1, -257 in decreasing order.
2, 1, -4, -5, -257
Sort -16, 6, -1568 in decreasing order.
6, -16, -1568
Put -2, 2824, 19, 0 in ascending order.
-2, 0, 19, 2824
Put -3, 3, -12, 0, -1, -30 in decreasing order.
3, 0, -1, -3, -12, -30
Sort -3, -6, 5420 in ascending order.
-6, -3, 5420
Sort -4, 4, 95, -2, 108 in descending order.
108, 95, 4, -2, -4
Put -7, -0.4, -1/3, -17, 2, -10 in descending order.
2, -1/3, -0.4, -7, -10, -17
Sort -5, 4, 1, 2, -3, 174.
-5, -3, 1, 2, 4, 174
Put 9, 2, 475, 1 in descending order.
475, 9, 2, 1
Put 2/7, 0, 2, 1.1, 0.2, 21 in descending order.
21, 2, 1.1, 2/7, 0.2, 0
Sort 186, -4, -1, 14 in descending order.
186, 14, -1, -4
Sort -0.5, 94.9, 15, 4 in decreasing order.
94.9, 15, 4, -0.5
Put -1, 0.135, 1, 4, -8 in descending order.
4, 1, 0.135, -1, -8
Put 13, -2, 39, 0 in descending order.
39, 13, 0, -2
Sort 2, 0, -1, 4, -52, 11 in decreasing order.
11, 4, 2, 0, -1, -52
Sort 2/9, 1, -3.6, -0.0989 in decreasing order.
1, 2/9, -0.0989, -3.6
Sort 2/9, -2, -4, 2, -6, -14/4835.
-6, -4, -2, -14/4835, 2/9, 2
Sort 1, -29975, 5 in ascending order.
-29975, 1, 5
Sort 1, 4, 7, 2, -179, -6.
-179, -6, 1, 2, 4, 7
Put -9, -600, -1/3, 0.5, -0.1, 3/7 in decreasing order.
0.5, 3/7, -0.1, -1/3, -9, -600
Sort -5, 66, 32 in increasing order.
-5, 32, 66
Sort -2/11, -8, 338, 0.1, 3/5.
-8, -2/11, 0.1, 3/5, 338
Sort -2/3, -0.015, 2/11 in ascending order.
-2/3, -0.015, 2/11
Sort -3, -32, -2, -2062.
-2062, -32, -3, -2
Put -7, 1, -5, 6, 5, -1 in decreasing order.
6, 5, 1, -1, -5, -7
Put 9.3, -13, -2/11, 2 in descending order.
9.3, 2, -2/11, -13
Sort 2, -0.3, 0.002, -3, 1.4 in descending order.
2, 1.4, 0.002, -0.3, -3
Sort -1/2, 5/52, 11/8, -5.
-5, -1/2, 5/52, 11/8
Put -3.5, 2/13, 0, 0.09, -11, 0.2 in ascending order.
-11, -3.5, 0, 0.09, 2/13, 0.2
Put -2, 5, 7516 in decreasing order.
7516, 5, -2
Put -45, -3, 3, 130 in ascending order.
-45, -3, 3, 130
Put -3.1, 2/3, -4, 66 in decreasing order.
66, 2/3, -3.1, -4
Sort 23474/5, -0.3, -2 in descending order.
23474/5, -0.3, -2
Put -16, -57, 0 in increasing order.
-57, -16, 0
Sort -7292, 0.2, 0.1, -0.4 in decreasing order.
0.2, 0.1, -0.4, -7292
Put -4/9, -1/6, -0.2, -1, -2/11661 in decreasing order.
-2/11661, -1/6, -0.2, -4/9, -1
Sort -51, -74, 3, 2, 4 in decreasing order.
4, 3, 2, -51, -74
Sort -3/4, -0.6, 458 in decreasing order.
458, -0.6, -3/4
Sort 1, -280, 3, -21.
-280, -21, 1, 3
Put 2, 0.2, -3/5, 3, 178, -1 in ascending order.
-1, -3/5, 0.2, 2, 3, 178
Sort -4, 1199, -105 in decreasing order.
1199, -4, -105
Sort -26/11, 8, 3, -10/7 in descending order.
8, 3, -10/7, -26/11
Sort -77, 5, -3, -53 in descending order.
5, -3, -53, -77
Sort 4, -8, 41/6, -0.5 in ascending order.
-8, -0.5, 4, 41/6
Put 3, -3, 4, -1, -2, -334 in descending order.
4, 3, -1, -2, -3, -334
Sort -0.8, 2/3, 0, -2/11, -0.6.
-0.8, -0.6, -2/11, 0, 2/3
Put -8, 357, 1/4, -0.5 in ascending order.
-8, -0.5, 1/4, 357
Put -33, -9, 1284 in ascending order.
-33, -9, 1284
Put 5, -3, 3, -12, -27, 0.4 in ascending order.
-27, -12, -3, 0.4, 3, 5
Sort 22, -10, 0, -12, -5, 5 in descending order.
22, 5, 0, -5, -10, -12
Put -1, -3, -2, 2, 9018, 1 in descending order.
9018, 2, 1, -1, -2, -3
Put -5, 537, 5, 11 in decreasing order.
537, 11, 5, -5
Put -4, -2/883, -460 in descending order.
-2/883, -4, -460
Put 0.3, -17846, -2/5 in decreasing order.
0.3, -2/5, -17846
Sort 6, 511, -4, -2, 0 in ascending order.
-4, -2, 0, 6, 511
Sort -1, -13, 9/4, 3/7, -5.
-13, -5, -1, 3/7, 9/4
Sort -907, 8, -86.
-907, -86, 8
Put -0.1, -2/5, 2/11, -7498, -0.2 in descending order.
2/11, -0.1, -0.2, -2/5, -7498
Sort -1/3, 0.278, 0.5, -2, -2/145.
-2, -1/3, -2/145, 0.278, 0.5
Put -2, 50, 1, 3, 2 in descending order.
50, 3, 2, 1, -2
Sort 34, -7, 5, 0, -13 in decreasing order.
34, 5, 0, -7, -13
Put 2, 4.2, 442, 0.5 in decreasing order.
442, 4.2, 2, 0.5
Sort -23, 202, 2 in descending order.
202, 2, -23
Put -2/13, -7/76, 18 in decreasing order.
18, -7/76, -2/13
Sort -4/9, -0.4, 0.5, -69.8, 1/5 in decreasing order.
0.5, 1/5, -0.4, -4/9, -69.8
Put 1, 12, -5, 23, -6 in descending order.
23, 12, 1, -5, -6
Put -248, 1237, -5 in ascending order.
-248, -5, 1237
Put -5, 0.5, 2/9, -20/29, 0.3 in descending order.
0.5, 0.3, 2/9, -20/29, -5
Put 1, -165, 125, 3 in decreasing order.
125, 3, 1, -165
Put -0.5, -3/17, 0.0046, 3/5, -1 in descending order.
3/5, 0.0046, -3/17, -0.5, -1
Put -392, 3/5, 5, -4 in descending order.
5, 3/5, -4, -392
Sort 1, -20, 548, -2 in increasing order.
-20, -2, 1, 548
Put -18, 2, -3, 82 in descending order.
82, 2, -3, -18
Put 3, -39.13, 2, 1, -2, 1/5 in descending order.
3, 2, 1, 1/5, -2, -39.13
Put 3064, -2, -4, 26, -1 in descending order.
3064, 26, -1, -2, -4
Sort 13, 11725, 3 in ascending order.
3, 13, 11725
Put 1, -632, -122 in descending order.
1, -122, -632
Sort 2, -2/17, -1, -2/181.
-1, -2/17, -2/181, 2
Put 0, 16/7, 157, -4, -3 in increasing order.
-4, -3, 0, 16/7, 157
Put 0, 4, 2, -16, -39 in descending order.
4, 2, 0, -16, -39
Put 17, 4, -6417 in decreasing order.
17, 4, -6417
Sort 2, 5, -1, -4, -72/7, -9.
-72/7, -9, -4, -1, 2, 5
Put 268, 2, -0.2 in descending order.
268, 2, -0.2
Sort -2424575, 1/6, 0.5 in ascending order.
-2424575, 1/6, 0.5
Sort -447, 2, -3, -65, 0 in decreasing order.
2, 0, -3, -65, -447
Sort -2, 16, 602 in ascending order.
-2, 16, 602
Sort -310, 0.003, 5 in increasing order.
-310, 0.003, 5
Sort -41, -2, -116, 3, 0 in decreasing order.
3, 0, -2, -41, -116
Sort -6, -267, 20, 4.
-267, -6, 4, 20
Put -50, -5, 14, 193, 0 in increasing order.
-50, -5, 0, 14, 193
Put 8/7, -1799, 111 in increasing order.
-1799, 8/7, 111
Sort 1.2, -0.5, -600, 1/2 in increasing order.
-600, -0.5, 1/2, 1.2
Put 5, 99, 0, -4, -12, 2 in ascending order.
-12, -4, 0, 2, 5, 99
Put -4, -3, 289, 5 in ascending order.
-4, -3, 5, 289
Sort -4, 4, 231, -3, 11 in descending order.
231, 11, 4, -3, -4
Put 10, -53/5, -1/7 in decreasing order.
10, -1/7, -53/5
Sort 4, 2, -8, 1, 356 in decreasi | {
"pile_set_name": "DM Mathematics"
} |
4
b
Let i be 1/7 + (-102)/126. Let m = 45.2 - 10.2. Let d = m - 34.97. Which is the closest to i? (a) d (b) -2/15 (c) 1/6
b
Let n be ((-159)/(-742))/(2/8 - 1). What is the closest to -0.07 in n, -2, -1/4, -0.1?
-0.1
Let o = 1.74 - 1.44. Let y = 119 - 127. Let d = 0 + -1. What is the closest to d in 1/4, o, y?
1/4
Let h = -194/63 + 236/63. What is the closest to -2.5 in -0.6, h, 1?
-0.6
Let x = 0.5 + 0.67. Let m = 0.67 - x. What is the nearest to 0 in m, -4, -15?
m
Let n = -635/2 + 317. Which is the nearest to 541? (a) -0.1 (b) n (c) -2/5
a
Let g = -19/29 + 28/87. Let l = -5/18 - -4/9. What is the nearest to 14 in l, 3, g?
3
Let s(x) = x**2 - 6*x - 2. Let l be s(6). Let j be 12/(8/l) - -3. Suppose j*k - k = 3*r + 9, -2*k = 2*r + 10. What is the closest to 2 in -4, -2/15, k?
-2/15
Let z = 106.054 - 106. Let d = -0.008 + z. Let o = 0.146 - d. What is the nearest to o in 5/6, -3, -0.1?
-0.1
Suppose 10*t - 40 = 50. Let j be (3/t)/((-10)/(-60)). Suppose -3*u = 4*w, u = 2*u - j*w - 10. Which is the closest to 1/9? (a) u (b) 0.2 (c) 0.3
b
Let u = -18/11 - -170/77. Let f = -15758.9 + 15758. What is the closest to f in 0.1, -0.04, u?
-0.04
Let z = 0.01 - 0.07. Let j = 386 - 346. Let f be (3 + (-14)/5)/(24/j). What is the nearest to 0.2 in z, f, 0.3?
0.3
Let j = 623/5 + -125. Let r(t) = -t**2 - 4*t - 1. Suppose -27 = -0*u + 9*u. Let p be r(u). Which is the nearest to p? (a) -0.3 (b) j (c) -0.2
c
Let k = 0.126 - 0.026. Suppose 0 = -2*d + d - 8. Let i be d/5 - (1 - 2). What is the closest to k in 0.2, -5, i?
0.2
Let x = -8 - -13. Let b = 618 + -966. Let f = -346 - b. What is the closest to -0.1 in x, -3/5, f?
-3/5
Let m = 28951 - 28954. Let h = 0.1 - 0.04. Which is the closest to h? (a) 1/5 (b) -0.5 (c) m
a
Let z = -5.79 - 707.61. Let l = -713 - z. Which is the nearest to -3? (a) -0.03 (b) 3 (c) l (d) 2/9
a
Let w = -1 - 0. Let n = -120.072 + 120. Let l = -0.192 - n. Which is the nearest to w? (a) 3 (b) l (c) 2
b
Let n = 6057 - 6055. Which is the nearest to 0.02? (a) -0.4 (b) 5 (c) n (d) 3
a
Let c = 0.05373 + -5.05373. What is the nearest to -2 in 4/3, 2, c, 0.07?
0.07
Let d be 1/12 + 51377/4980 + -10. Let k = 0.2 + -4.2. Let x = 0.2 - 0.2. What is the nearest to -1/3 in x, k, d?
x
Let i = -1.628 + 1.718. Which is the closest to 11? (a) 0 (b) i (c) -0.3
b
Let s = 86 + -83. Suppose 12*q + 18 = s*f + 9*q, 3*q - 17 = -2*f. Which is the closest to -2/3? (a) f (b) 5 (c) 0
c
Let j = -0.06 - -0.16. Suppose -q - 9 = 5*c + 1, c - 3*q = 14. What is the nearest to j in 0.5, 57, c?
0.5
Let y = -133 + 189. Let m = y + -61. Let o = 0.2 - 1.2. What is the closest to -1 in 3/2, o, m?
o
Let y(p) = 2*p**2 + 47*p + 18. Let s be y(0). Let o = 144/7 - 397/21. Which is the nearest to 1? (a) s (b) -4 (c) o (d) -2/19
c
Suppose 2*f + 2*k + 139 = 41, -4*f = -2*k + 166. Which is the nearest to -0.1? (a) -5 (b) f (c) -2/7 (d) 0
d
Let y = -100 - -99.838. Let r = 3.162 + y. Let l be (1/(-9))/(1/2). What is the nearest to -2/7 in l, 0.3, r?
l
Let k = 1681 - 6727/4. Which is the closest to 3? (a) 5 (b) 0 (c) k (d) -3
a
Let q = 46 + 162. Let r = -163.5 + q. Let x = r - 44. What is the nearest to 1 in x, -2, -1/8?
x
Let z = -60 - -64. Let f = 0.05 - 0.25. Let s be ((-4)/(-6) - 24/18)/(-2). Which is the closest to s? (a) z (b) 5 (c) f
c
Let m = 3434 - 44644/13. Which is the nearest to -266? (a) m (b) -2 (c) -3
c
Let k = -26.18655 + 0.18655. Which is the closest to 0.09? (a) 1/2 (b) 2 (c) k (d) 0
d
Let v = 8 - 12. Let h = 5 + v. Let k = 18277.2 - 18277. Which is the nearest to k? (a) h (b) -0.06 (c) -2/9
b
Suppose 6*q - 158 = -104. Suppose -2*p = -s + q, -3*s - 7*p - 9 = -4*p. Which is the nearest to s? (a) 4 (b) 5/6 (c) 2/5
b
Let x be (-9)/6 + (-4)/6*-3. Let l = 33.3 - 33. Which is the nearest to -1/2? (a) l (b) x (c) 4/5
a
Let o = 12.051 + -18.351. What is the nearest to -3/5 in -4, 3, o?
-4
Let j = 16 - 19.5. Let h = 3.6 + j. Let v = -0.298 + -0.002. What is the nearest to -1 in h, v, -2/3?
-2/3
Suppose -g = 3*i - 8 - 10, 0 = 4*i + 2*g - 24. Let t be (-4*i)/6 + 33/9. Let p be (0 - 1/(-2)) + -1. Which is the closest to 1? (a) -2/7 (b) t (c) p
a
Let l(q) = q**2 - 15*q + 7. Let o be l(13). Let d = -5507 + 5507. Let h = 0.1 - -0.1. Which is the nearest to o? (a) h (b) d (c) 2/5
b
Let k = -11 - -2. Let f = 1532 + -13790/9. Which is the closest to 1? (a) k (b) f (c) -3/8 (d) -3
b
Let h = -0.05 + -0.35. Let i = h - 0.1. Let r = -55.9 + 55.8. What is the nearest to 2/3 in i, r, -3?
r
Let v = 18.46 - 18.96. What is the closest to -4 in v, 0.1, 4, 43?
v
Let x = 88.92 + -87.92. What is the nearest to x in -0.5, -4, -1/7, -0.123?
-0.123
Let p = -17263 + 17267. Which is the closest to -105? (a) -0.3 (b) p (c) 0.3 (d) -0.1
a
Let p = 16022 + -16023. Which is the closest to -2/5? (a) p (b) -1/6 (c) -0.06 (d) 0
b
Let z be ((-560)/(-32) + -17)*0*(-2)/6. Let y = 19 - 13. Which is the nearest to -3? (a) z (b) y (c) -1/3
c
Let y(h) = -2*h**3 + 9*h**2 - 5*h - 8. Let s be y(3). Let m = 474 + -472. Which is the closest to -2? (a) m (b) -5 (c) s
b
Let w = 15.94 - 16. Let s be (4/138)/(112/(-21) + 5). Which is the nearest to 0.1? (a) w (b) s (c) 0.5
a
Let p be (-2)/12*(-36)/96*4. What is the closest to -1 in 3, -0.01, -2.7, p?
-0.01
Let w = -109705/21 + 5223. Let m = -23/42 - w. Let t = -0.1 + 5.1. What is the closest to 0.3 in -1/2, m, t?
m
Let n = -70.16 - -71. Let d = n + -0.64. Which is the closest to d? (a) -3/2 (b) -3 (c) -0.4
c
Let h = 1761/7 - 254. Which is the nearest to 0? (a) h (b) 2/13 (c) 0.2
b
Let b = -1861/108 - 11/108. Let s = b - -53/3. Let k = -0.04 + 2.04. What is the closest to s in k, -1, 1/14?
1/14
Let s = -6 + 19/3. Let c = -577 + 20767/36. Let v = c + 1/18. What is the closest to -1 in v, s, -1?
-1
Let o = 1.3804 + -0.0004. Let v = o - -3.62. Which is the nearest to -6? (a) -1 (b) 0.5 (c) v
a
Let n = 2.03 + 1.97. Let f = -497.6 + 498. Which is the nearest to -1? (a) -0.02 (b) n (c) f
a
Let t = -28398 + 28397. Let o = 0.1 - -0.4. Which is the closest to t? (a) -13 (b) 0 (c) o
b
Let v = 7702 - 23110/3. What is the nearest to 1 in 1/4, 4/3, v, 19.9?
4/3
Let h = 0.61 + -0.47. Let u be (-1992)/9 + (0 - 8/12). Let s = -1558/7 - u. Which is the nearest to h? (a) 3 (b) s (c) -3
b
Let s = 178.354 - 178. Let t = 0.646 + s. What is the nearest to t in -3, 1/5, -5, 0?
1/5
Let b(v) = -2*v**3 - 12*v**2 - v - 4. Let m be b(-6). Suppose -m*i = -5*f, 3*f - 4*i - 8 = 6. What is the nearest to f in 1/3, -2, -0.3?
-2
Let v = -9 - -31. Let f = v - 23. Let w = -6 - -18. What is the closest to f in -0.3, w, -0.2?
-0.3
Let p = -0.06 + -3.94. Let s = 5782 - 5784. Which is the nearest to 1/4? (a) p (b) s (c) 2/25
c
Suppose 0 = -7*d + 22*d - 60. Suppose h - 18 = -5*v, -2*h + 14 = -h + d*v. Let i be 1 + (1/(-3))/1. Which is the nearest to 3? (a) h (b) -1 (c) i
c
Let j = 1.53 + -91.53. Let s = 106 + j. Let v = 0 - 0. What is the nearest to -0.1 in v, s, 1/2?
v
Let x = -1.28 + 0.6. Let b = -0.26 - x. Let f = b - 0.12. What is the nearest to -3 in -1/5, f, -1?
-1
Let u = -771/3020 - -4/755. Which is the nearest to -2? (a) -7 (b) 0.5 (c) u (d) -2/11
c
Let d(g) = -2*g**3 + 49*g. Let s be d(-5). What is the nearest to -4 in s, 0.5, 2/5, -0.5?
-0.5
Let p = -6349 + 6345. What is the closest to 0 in p, 1/52, -7?
1/52
Let x be (-3)/(-5) + (21/140)/((-279)/(-124)). Let h = -180 - -1618/9. Let l = 6 + -4. Which is the nearest to l? (a) x (b) h (c) 2/5
a
Let d = 4 + 93. Let v = -97 + d. Which is the closest to v? (a) -1/4 (b) -3/2 (c) 2/9
c
Let j = 1.6 + 0.4. Let z = 371.37 - -6.63. Let r = z + -377.9. Which is the nearest to r? (a) 0.9 (b) -2/5 (c) j
b
Let k = 61307/7 - 8758. Let x = -1.7 - -1.6. Which is the nearest to -0.1? (a) x (b) -2 (c) 1 (d) k
a
Let w = 102.519 + 0.481. Let x = -86 - -193. Let m = w - x. What is the closest to -1/5 in m, -1, 4/9?
4/9
Let x be (-828)/690*(-5)/27. What is the closest to -0.1 in -0.4, x, -1, 5/6?
-0.4
Let g = -14915 + 59663/4. Which is the closest to 171? (a) g (b) -4/9 (c) -3/4 (d) -0.1
a
Suppose -103026 - 93899 = 675*o - 83525. What is the closest to 3 in o, -0.3, -1/8?
-1/8
Let d = 0.2 + -0.3. Let r(q) = 2*q + 424. Let i be r(21). Let s = 2801/6 - i. W | {
"pile_set_name": "DM Mathematics"
} |
er?
9
What is 128516 to the power of 1/2, to the nearest integer?
358
What is the fourth root of 72190 to the nearest integer?
16
What is 6151 to the power of 1/3, to the nearest integer?
18
What is 8837 to the power of 1/3, to the nearest integer?
21
What is the square root of 1620 to the nearest integer?
40
What is 49797 to the power of 1/2, to the nearest integer?
223
What is the tenth root of 1447 to the nearest integer?
2
What is 75095 to the power of 1/9, to the nearest integer?
3
What is 86320 to the power of 1/7, to the nearest integer?
5
What is the ninth root of 42711 to the nearest integer?
3
What is 5705 to the power of 1/9, to the nearest integer?
3
What is 11579 to the power of 1/10, to the nearest integer?
3
What is the sixth root of 9843 to the nearest integer?
5
What is the ninth root of 2387 to the nearest integer?
2
What is 1091 to the power of 1/3, to the nearest integer?
10
What is the eighth root of 680 to the nearest integer?
2
What is 918 to the power of 1/2, to the nearest integer?
30
What is the seventh root of 411 to the nearest integer?
2
What is the tenth root of 117 to the nearest integer?
2
What is 38495 to the power of 1/5, to the nearest integer?
8
What is 576 to the power of 1/2, to the nearest integer?
24
What is the fourth root of 8606 to the nearest integer?
10
What is the third root of 1117 to the nearest integer?
10
What is 1820 to the power of 1/2, to the nearest integer?
43
What is 3824 to the power of 1/7, to the nearest integer?
3
What is the square root of 92758 to the nearest integer?
305
What is the sixth root of 19823 to the nearest integer?
5
What is 713 to the power of 1/6, to the nearest integer?
3
What is the cube root of 6605 to the nearest integer?
19
What is 668 to the power of 1/2, to the nearest integer?
26
What is 42542 to the power of 1/10, to the nearest integer?
3
What is the cube root of 2501 to the nearest integer?
14
What is 922 to the power of 1/2, to the nearest integer?
30
What is the square root of 604 to the nearest integer?
25
What is the square root of 4810 to the nearest integer?
69
What is the tenth root of 603 to the nearest integer?
2
What is the square root of 33651 to the nearest integer?
183
What is the square root of 11197 to the nearest integer?
106
What is 602 to the power of 1/2, to the nearest integer?
25
What is the tenth root of 693 to the nearest integer?
2
What is 1243 to the power of 1/9, to the nearest integer?
2
What is 2899 to the power of 1/3, to the nearest integer?
14
What is the square root of 3664 to the nearest integer?
61
What is the sixth root of 29178 to the nearest integer?
6
What is 17130 to the power of 1/3, to the nearest integer?
26
What is the seventh root of 10926 to the nearest integer?
4
What is the square root of 13982 to the nearest integer?
118
What is the seventh root of 294 to the nearest integer?
2
What is 9115 to the power of 1/2, to the nearest integer?
95
What is 1298 to the power of 1/2, to the nearest integer?
36
What is 2604 to the power of 1/5, to the nearest integer?
5
What is the cube root of 95278 to the nearest integer?
46
What is the tenth root of 146 to the nearest integer?
2
What is 5884 to the power of 1/2, to the nearest integer?
77
What is the tenth root of 90 to the nearest integer?
2
What is 23782 to the power of 1/3, to the nearest integer?
29
What is the tenth root of 600 to the nearest integer?
2
What is 148 to the power of 1/7, to the nearest integer?
2
What is the fifth root of 66593 to the nearest integer?
9
What is 5758 to the power of 1/3, to the nearest integer?
18
What is 22964 to the power of 1/2, to the nearest integer?
152
What is 915 to the power of 1/2, to the nearest integer?
30
What is 89 to the power of 1/5, to the nearest integer?
2
What is the cube root of 2267 to the nearest integer?
13
What is the fourth root of 701 to the nearest integer?
5
What is 335 to the power of 1/2, to the nearest integer?
18
What is the fourth root of 1274 to the nearest integer?
6
What is 1491 to the power of 1/4, to the nearest integer?
6
What is the square root of 20204 to the nearest integer?
142
What is the seventh root of 3164 to the nearest integer?
3
What is 16510 to the power of 1/2, to the nearest integer?
128
What is 8350 to the power of 1/6, to the nearest integer?
5
What is the sixth root of 4773 to the nearest integer?
4
What is 85099 to the power of 1/2, to the nearest integer?
292
What is 14181 to the power of 1/6, to the nearest integer?
5
What is the fifth root of 6168 to the nearest integer?
6
What is the third root of 63535 to the nearest integer?
40
What is the square root of 4191 to the nearest integer?
65
What is the eighth root of 60036 to the nearest integer?
4
What is the eighth root of 634 to the nearest integer?
2
What is the square root of 27795 to the nearest integer?
167
What is the cube root of 1553 to the nearest integer?
12
What is the square root of 4561 to the nearest integer?
68
What is the square root of 3726 to the nearest integer?
61
What is 80507 to the power of 1/2, to the nearest integer?
284
What is 82903 to the power of 1/2, to the nearest integer?
288
What is 3213 to the power of 1/7, to the nearest integer?
3
What is the ninth root of 5082 to the nearest integer?
3
What is the third root of 4558 to the nearest integer?
17
What is the cube root of 26429 to the nearest integer?
30
What is the square root of 849 to the nearest integer?
29
What is 454 to the power of 1/3, to the nearest integer?
8
What is the sixth root of 73722 to the nearest integer?
6
What is the sixth root of 559 to the nearest integer?
3
What is the square root of 201687 to the nearest integer?
449
What is the square root of 2823 to the nearest integer?
53
What is 15010 to the power of 1/2, to the nearest integer?
123
What is 742 to the power of 1/2, to the nearest integer?
27
What is the eighth root of 30759 to the nearest integer?
4
What is the square root of 2566 to the nearest integer?
51
What is 45222 to the power of 1/3, to the nearest integer?
36
What is 104720 to the power of 1/2, to the nearest integer?
324
What is 11062 to the power of 1/9, to the nearest integer?
3
What is 15535 to the power of 1/3, to the nearest integer?
25
What is the fourth root of 2605 to the nearest integer?
7
What is the cube root of 1233 to the nearest integer?
11
What is the cube root of 8989 to the nearest integer?
21
What is the ninth root of 1232 to the nearest integer?
2
What is 23447 to the power of 1/8, to the nearest integer?
4
What is 41181 to the power of 1/9, to the nearest integer?
3
What is the third root of 2328 to the nearest integer?
13
What is the sixth root of 33008 to the nearest integer?
6
What is 1358 to the power of 1/2, to the nearest integer?
37
What is the cube root of 1332 to the nearest integer?
11
What is 485 to the power of 1/10, to the nearest integer?
2
What is 629 to the power of 1/2, to the nearest integer?
25
What is 3961 to the power of 1/2, to the nearest integer?
63
What is 458 to the power of 1/8, to the nearest integer?
2
What is 6554 to the power of 1/3, to the nearest integer?
19
What is the third root of 52414 to the nearest integer?
37
What is the third root of 2940 to the nearest integer?
14
What is 33183 to the power of 1/2, to the nearest integer?
182
What is the seventh root of 17181 to the nearest integer?
4
What is the fifth root of 4495 to the nearest integer?
5
What is the square root of 80910 to the nearest integer?
284
What is the cube root of 137 to the nearest integer?
5
What is the ninth root of 1174 to the nearest integer?
2
What is the third root of 9532 to the nearest integer?
21
What is the square root of 53004 to the nearest integer?
230
What is the third root of 23640 to the nearest integer?
29
What is the square root of 2554 to the nearest integer?
51
What is the tenth root of 3093 to the nearest integer?
2
What is the fifth root of 7554 to the nearest integer?
6
What is the fifth root of 14638 to the nearest integer?
7
What is the square root of 7057 to the nearest integer?
84
What is 37327 to the power of 1/2, to the nearest integer?
193
What is 193961 to the power of 1/10, to the nearest integer?
3
What is 12894 to the power of 1/2, to the nearest | {
"pile_set_name": "DM Mathematics"
} |
, 1267714, 1267569, 1267358, 1267087?
1266762
What comes next: -208, 707, 2770, 5999, 10412?
16027
What is the next term in -25591, -51254, -76917?
-102580
What is the next term in -39635, -317176, -1070635, -2538014, -4957315, -8566540, -13603691, -20306770?
-28913779
What is the next term in 917233, 1834445, 2751657, 3668869?
4586081
What is next in 495987, 992655, 1489323?
1985991
What is next in 112246, 224512, 336778, 449044, 561310, 673576?
785842
What comes next: -21835349, -21835574, -21835813, -21836072, -21836357, -21836674?
-21837029
What is the next term in -2896, -2979, -3186, -3559, -4140, -4971?
-6094
What comes next: 4992300, 9984597, 14976894, 19969191, 24961488, 29953785?
34946082
What is the next term in -955, -4861, -14597, -32803, -62119, -105185, -164641?
-243127
What is the next term in 2218, 2165, 2134, 2137, 2186?
2293
What is next in -71354917, -71354907, -71354891, -71354869?
-71354841
What is the next term in 80012828, 80012835, 80012842, 80012849, 80012856, 80012863?
80012870
What is next in -226, -230, -234, -238, -242, -246?
-250
What is next in 92601, 92363, 91953, 91365, 90593?
89631
What comes next: -708984, -708991, -708998, -709005, -709012, -709019?
-709026
What is the next term in 687, 1277, 2273, 3687, 5531, 7817, 10557?
13763
What is the next term in -4803, -5153, -5503, -5853, -6203?
-6553
What is the next term in -11673, -29290, -46907?
-64524
What comes next: -4813, -19031, -42751, -75973, -118697, -170923, -232651?
-303881
What is next in -109447, -109427, -109401, -109369, -109331, -109287, -109237?
-109181
What is the next term in 107909, 104123, 100337, 96551?
92765
What is next in 5581, 5146, 4435, 3454, 2209, 706, -1049, -3050?
-5291
What is next in 2748930, 5497800, 8246658, 10995498, 13744314, 16493100?
19241850
What is next in 25524, 37173, 56586, 83763?
118704
What is next in 40426, 81341, 122258, 163177, 204098?
245021
What comes next: 38042, 152024, 341920, 607736, 949478, 1367152?
1860764
What is the next term in -609935, -609958, -609981?
-610004
What comes next: 218220, 218143, 218074, 218013, 217960, 217915?
217878
What comes next: 5156, 21589, 48978, 87329, 136648, 196941, 268214, 350473?
443724
What comes next: -49777, -99565, -149345, -199117, -248881, -298637, -348385?
-398125
What comes next: -52, -94, -160, -256, -388, -562, -784?
-1060
What is the next term in 79417, 79173, 78525, 77275, 75225, 72177, 67933, 62295?
55065
What comes next: -5762234, -5762233, -5762232?
-5762231
What is next in -630424, -630655, -631040, -631579, -632272?
-633119
What is the next term in -1081126, -1081219, -1081314, -1081411, -1081510, -1081611, -1081714?
-1081819
What is next in -8273373, -8273377, -8273381, -8273385, -8273389, -8273393?
-8273397
What is the next term in 735, 549, 363, 177?
-9
What comes next: -194473292, -194473290, -194473288, -194473286, -194473284?
-194473282
What is the next term in -2735, -11291, -25667, -45863, -71879, -103715, -141371?
-184847
What is next in 55280, 111967, 168654, 225341, 282028, 338715?
395402
What is next in 1519979, 3039921, 4559839, 6079721, 7599555, 9119329, 10639031?
12158649
What is next in 16561, 66418, 149573, 266026, 415777?
598826
What is next in 740884, 740876, 740854, 740812, 740744, 740644?
740506
What comes next: 129143, 261142, 393141, 525140?
657139
What is the next term in 1743, 7791, 17875, 31995, 50151, 72343, 98571?
128835
What is next in -50311488, -50311489, -50311490, -50311491, -50311492?
-50311493
What is the next term in 279711, 279802, 280049, 280530, 281323, 282506, 284157, 286354?
289175
What is the next term in 345, 2171, 5339, 9849, 15701?
22895
What is next in 86623, 344487, 774269, 1375975, 2149611, 3095183?
4212697
What comes next: -19996, -19352, -18278, -16774?
-14840
What comes next: 3876, 5055, 6234?
7413
What is next in -13419, -26564, -39709, -52854, -65999?
-79144
What is the next term in -4278, -6215, -8154, -10095, -12038, -13983, -15930?
-17879
What is next in -59093, -118212, -177339, -236480, -295641, -354828?
-414047
What comes next: -82631, -165329, -248027, -330725, -413423?
-496121
What is next in -43488, -42735, -41490, -39753, -37524?
-34803
What is next in -161419, -322844, -484273, -645706, -807143, -968584?
-1130029
What is next in 8286, 16612, 24970, 33360?
41782
What comes next: 316, 1702, 4136, 7618, 12148?
17726
What is next in -762, -5406, -18044, -42678, -83310?
-143942
What is the next term in 2773, 4498, 7227, 10954, 15673, 21378, 28063, 35722?
44349
What is next in -2091686, -8366962, -18825754, -33468062, -52293886, -75303226, -102496082?
-133872454
What comes next: -4915, -3871, -2145, 257, 3329, 7065, 11459?
16505
What comes next: 1583, 3190, 4819, 6482, 8191, 9958, 11795?
13714
What is next in 182, 620, 1552, 3224, 5882, 9772?
15140
What comes next: 145440738, 145440749, 145440774, 145440819, 145440890, 145440993, 145441134?
145441319
What is the next term in -75962, -151901, -227840, -303779?
-379718
What is the next term in 39996151, 79992287, 119988421, 159984553, 199980683?
239976811
What is next in -37, 307, 1411, 3713, 7651, 13663?
22187
What is the next term in -16235484, -16235482, -16235480, -16235478?
-16235476
What is next in 261118296, 261118293, 261118290?
261118287
What is next in 4988140, 4987970, 4987800?
4987630
What comes next: 118, 140, 392, 994, 2066, 3728, 6100, 9302?
13454
What is the next term in -12254379, -12254377, -12254373, -12254367, -12254359, -12254349?
-12254337
What comes next: 4848, -696, -15746, -45054, -93372, -165452, -266046, -399906?
-571784
What comes next: -323, -379, -433, -485?
-535
What comes next: -11201, -13639, -16077, -18515, -20953?
-23391
What is next in 1462142330, 1462142331, 1462142332, 1462142333, 1462142334, 1462142335?
1462142336
What comes next: -13608, -14559, -15510, -16461, -17412, -18363?
-19314
What is next in 526, 851, 1154, 1435?
1694
What comes next: -95342, -95331, -95312, -95285?
-95250
What is next in -146666, -146647, -146624, -146603, -146590, -146591?
-146612
What is next in -2127, -15, 3579, 8661, 15237, 23313?
32895
What is the next term in 531, 1878, 3237, 4608, 5991, 7386, 8793?
10212
What is the next term in 85236, 85352, 85468, 85584, 85700, 85816?
85932
What comes next: 14306810, 28613640, 42920468, 57227294, 71534118, 85840940?
100147760
What comes next: -7015964, -14031925, -21047886, -28063847, -35079808, -42095769?
-49111730
What is the next term in -1382, -5840, -13268, -23666?
-37034
What comes next: 6280, 12615, 18954, 25291, 31620?
37935
What comes next: -48941, -48991, -49041, -49091, -49141?
-49191
What comes next: 9978, 15007, 20046, 25101, 30178, 35283, 40422, 45601?
50826
What is next in 15612, 17669, 21096, 25893, 32060?
39597
What comes next: 52359, 420112, 1418307, 3362166, 6566911?
11347764
What comes next: 78862, 77704, 76546, 75388?
74230
What comes next: 53104, 52764, 52424, 52084, 51744?
51404
What comes next: 4112785, 4112802, 4112809, 4112800, 4112769?
4112710
What is next in -16397, -16443, -16469, -16463, -16413?
-16307
What is next in -395, -4679, -16631, -40025, -78635, -136235, -216599?
-323501
What comes next: -14762722, -59050891, -132864506, -236203567?
-369068074
What is next in -512058, -512129, -512200, -512271?
-512342
What is the next term in 9635436, 19270861, 28906284, 38541705, 48177124, 57812541, 67447956?
77083369
What comes next: 2999, 1776, 539, -718, -2001, -3316, -4669?
-6066
What comes next: 260671, 521343, 782015?
1042687
What comes next: 22022007, 44044018, 66066029, 88088040, 110110051, 132132062?
154154073
What is the next term in -438, 1554, 7024, 17706, 35334?
61642
What is the next term in 89641, 90560, 91479, 92398?
93317
What comes next: 69792347, 69792346, 69792349, 69792356, 69792367?
69792382
What is the next term in -5654, -10932, -16230, -21548, -26886?
-32244
What comes next: 1179251, 1178499, 1177747?
1176995
What is the next term in -3852, -14954, -33340, -59010, -91964, -132202, -179724?
-234530
What is next in -1465183, -2930930, -4396677, -5862424?
-7328171
What is next in -14223, -15792, -18407, -22068, -26775, -32528, -39327?
-47172
What is next in 1196565, 2393130, 3589697, 4786266, 5982837, 7179410?
8375985
What is next in -9982, -20171 | {
"pile_set_name": "DM Mathematics"
} |
1)/((-6)/c). Solve 4*z = k - 7, 0 = -f*k + 2*k - 3*z - 9 for k.
3
Suppose 126 = -2950*i + 2959*i. Solve 0 = -5*f - 3*w + 12, -9*w - 4 = -3*f - i*w for f.
3
Let b be (2 - -6) + -3 + 4/(-4). Solve -b*q + 3*r = -0*q + 15, -3*r = 4*q + 9 for q.
-3
Let i(r) = r**3 + 14*r**2 + 3. Let f be i(-14). Suppose -f*m - u + 71 = -2, 2*m = -4*u + 52. Solve 0 = -2*p - 2*g + g + 2, m = 4*p - 3*g for p.
3
Suppose -7*w + 20*w + 78 = 0. Let f be ((-3)/(-2))/(5*w/(-100)). Let r = 47 + -12. Solve r = f*c - 3*j, -3*c = -5*j - 49 + 12 for c.
4
Let g = 0 - -5. Suppose -5*s = -g*u, 0*u + 14 = 4*u + 3*s. Let z be (-4)/28 - u/(-14). Solve 0 = f - 3, l - 4*f + 21 - 4 = z for l.
-5
Let p = 13 - 10. Suppose -4*m = -2*m - k + 20, -p*k = -m. Let o be 1/(21/m - -2). Solve o*f - r = -2*r - 22, -2*r - 29 = 5*f for f.
-5
Suppose -1209 = 5*z - 1239. Let b = 1 - 1. Solve -5*d = -2*v + 9, -4*d + b*v = -2*v + z for d.
-3
Let a = -5 - 16. Let t = a + 23. Solve -2*h + 3*n = h - 15, -2*h - 10 = t*n for h.
0
Suppose -33*g = -41*g. Solve -3*i = -5*f + i + 33, -5*i - 10 = g for f.
5
Let b = 106 - 101. Let t(m) = -3 + 2 + 3 - 3 - m**3 + 6*m**2 - 4*m. Let i be t(5). Solve -2 = -n - b*a + i*a, -3*n = 4*a - 9 for n.
-1
Let s(w) = -3*w - w - w - 6 + 4*w. Let f be s(-12). Let x be 14/4 - f/4. Solve -2*y = -4*p + 3*y + 12, 6 = x*p + y for p.
3
Let d = -318 + 332. Solve -15 = 5*h - 5*l, 4*h = -l - 8 - d for h.
-5
Let l = 21 + -30. Let w be (3/l)/((-4)/48). Solve 4*d + 24 = 2*c, 0*c + 2*c - w = -d for d.
-4
Let y = 17 + -16. Let b be y/4*(40/5 + -8). Solve t + u = b, -20 = -2*t - t + 2*u for t.
4
Let k be -5 - -4 - -10 - (6 - 13). Solve b - 3*f = f - k, f = 4 for b.
0
Let s = 24 + -25. Let z(x) = -2*x**3. Let d be z(s). Solve -2*a - 1 = 3, -a = d*c + 8 for c.
-3
Suppose 4*g - g = -3*r, -14 = -3*r + 4*g. Suppose 0 = j + 5*d - 4, -3*j - 17 = -3*d - 65. Solve 5*y - 3*w + 5 = 0, 0 = -3*y + 2*y - r*w - j for y.
-4
Let h = 450 - 445. Solve h*n - 4 = 2*f + 3*n, -4*n + 5 = -3*f for f.
-3
Let l be (-6 - -3)/(6/(-8)). Suppose -3*r - 2 = -l*r. Solve -r*c - 2 = 2*a, -c - c = 5*a + 11 for a.
-3
Let b = -24 - -25. Solve -4*q = 8*s - 5*s + b, 0 = -q - s for q.
-1
Let o = 137 + -31. Let z = -103 + o. Solve z*y + r + 4 = 0, -5*y + 2*r = r - 4 for y.
0
Suppose -3*p - 4*p + 231 = 0. Let n be -6*(-1)/2*5. Suppose -4*v + n = r - v, -3*v = 4*r - p. Solve 0 = 2*a - 4*y - r, a - 5*a - y = 24 for a.
-5
Suppose -c - 2*a + 2 = 0, 30*c - 32*c + 5*a + 13 = 0. Suppose -5*y - 4*n + 33 = 0, 5*y - 27 = -0*n - n. Solve 3*r - y = -h - 3*h, -h = -2*r - c for h.
2
Let y(k) = -k**2 + 7*k - 6. Let i be y(5). Solve 12 = -q + 2*f + i, -3*q - 2*f = 0 for q.
-2
Suppose 51*l - 10*l - 123 = 0. Solve -9 = 2*j + l*u, j + 5*u = -5 - 3 for j.
-3
Let s(t) = t**2 - 2*t - 4. Let f be -4 - (1 - 0 - 3). Let a be s(f). Solve 4*h = -n + 2, -a*n + 4 = 3*h - 4 for h.
0
Let u(d) = -d**3 - 2*d**2 - 7. Let h be u(-3). Let i(l) = -2 + 2*l + 0*l + l + 4*l**2 - 2*l. Let x be i(h). Solve -4 = 2*r + 4*p, -r = 2*p - 6*p - x for r.
4
Let g be 1/(55/18 + -3). Suppose 0 = -5*o - 4*n + 32, -2*n = -2*o - n + g. Solve -i - 26 = 5*c, -i - o = 2*c - 3*i for c.
-5
Let j = -738 - -767. Solve -j = o + 5*y, -4*o - y - 1 = -5*o for o.
-4
Let r(w) = -w**3 + 47*w**2 + w - 27. Let d be r(47). Solve -5*t + 2*j + 3*j = 25, -4*t = 4*j + d for t.
-5
Suppose 0 = -4*v + 54 - 42. Suppose 13 = p - v*i, 6*p - p - 35 = 5*i. Solve 4*r = 4*l + 24, p*r - 21 = 4*l - l for r.
3
Let d = -17 + 19. Let h(o) = -6 - 1 + 7 + 1 - d*o + o**3. Let x be h(2). Solve -3*p + 4*y = -0*y + x, 3*p + y - 5 = 0 for p.
1
Suppose -2*h - 3*g = 3*h, 5*g = 5*h. Suppose h = -0*f - 5*f + 20. Solve 4*y + 30 = 5*r, f*r - 12 = 5*y + 21 for y.
-5
Let b be 4/1 - (2 + -3). Solve b*t - 2*y - 6 = -37, -5*t = 2*y + 19 for t.
-5
Suppose 66*s = 79*s - 13. Solve 2*h + 3*k + s = 2*k, 5*k + 5 = 0 for h.
0
Suppose -4*c - 5 + 13 = 0. Solve -1 = i + 6*f - 5*f, 0 = 2*i + 4*f - c for i.
-3
Let r = 183 + -168. Solve 25 = 5*a + 5*c, 0 = 3*a + 2*a + 3*c - r for a.
0
Suppose -5*r + r + 8 = 0. Suppose -2*x = -8, r*b + 4*x - 11 = 15. Solve -i - b*v - 24 = 0, 5*i = 3*i + 2*v for i.
-4
Let r be 805/25 - 12/10. Solve 0 = 3*x + 2*x + 3*u + r, 4*x + 3*u + 26 = 0 for x.
-5
Suppose 5*n - 120 = 5*h - 80, 3 = -h. Solve -n*l + 5 = 3*s - 0*s, 0 = s - 2*l + 2 for s.
0
Let j be ((-2)/(-9))/(-1) - 4540/(-180). Suppose 37*a - 42*a = -j. Solve a*h + 10 = -0, -5*f = 5*h + 10 for f.
0
Let g(l) = l**2 + 2*l - 23. Let s = 121 - 127. Let i be g(s). Solve -2*y - f - i = 0, 3*y + 2 = -6*f + 5*f for y.
-1
Let j(v) = -v**3 - 3*v**2 + 5*v + 4. Let o be (-19)/5 + 5/(-25). Let k be j(o). Solve k*f - b = -3*f - 7, 3*f - 1 = 5*b for f.
-3
Let n be (-616)/(-18) + 4/(-18). Let i = n - 33. Solve w = -2*a - 6, -4*a = -5*w + 25 + i for w.
2
Let s be 72/(-30) + (-8)/(-20). Let t be (18/(-27))/(s/(-3)). Let u be (t - 0)*-4 - 2. Solve i = a + u*a - 7, 0 = 5*a - 4*i for a.
4
Suppose 786*k = 783*k + 69. Solve -i - 3 = 3*i + 3*g, 4*g + k = i for i.
3
Suppose -39 = 3*u - 16*u. Solve 3*d = -4*h + 10, 0 = h + u*h + 4*d - 12 for h.
1
Let n be 11 + (2 - 6) - 2. Suppose -3*k + 0*z + 7 = 2*z, n*k - z = 29. Solve -k*b + 4*u = -10, -5*u - 36 = 3*b - 5 for b.
-2
Suppose -2*h - 11 = -3*h + 2*o, -2*o = 4*h - 4. Suppose -11 = h*g - g - 3*v, -5*g + 5 = -v. Solve -2*n + 4*n - 5*i = -35, 0 = -g*n - i - 5 for n.
-5
Suppose -26 = -i - 2*g, 4*i + 2*g - 21 - 65 = 0. Let k be (-5)/i + (-39)/(-12). Solve -3*q = -2*j + 7, -3*j + k*q = -5 - 1 for j.
-1
Let b be (-48)/2*(3 - (-4 + 10)). Suppose 4*q = -4*t + b, -2*q + 36 = 3*t - 5*q. Solve 4*o + t = o, -5*i = -4*o - 40 for i.
4
Let a = 11 - 7. Suppose 2*m + 3 = 13. Let o(d) = 6*d - 42. Let l be o(10). Solve -m*b + 6 - l = -3*s, -16 = -a*b - 4*s for b.
0
Let y(u) = u**2 + 24*u - 35. Let i be y(-26). Let g be 2/(-5) - (-51)/15. Solve 9 = -g*l - c, -2*l + 3*c + 0 - i = 0 for l.
-4
Let d be 13 + 4/(-1) + 0. Let i = -7 + d. Solve p + o = -4, 5*o + i + 10 = -p for p.
-2
Let r = 4 + -2. Suppose -r*k - 5*j - 4 = -20, 0 = -k - 4*j + 11. Solve -5*z + 2*p + 20 = -p, k*z - 12 = -3*p for z.
4
Let s(x) = 2*x + 11. Let z be s(-3). Let d be z/(-15) - 93/(-9). Solve 2*w + 8 = -3*r, r + 2*w + d - 2 = 0 for r.
0
Suppose -28*b - 136 = -62*b. Solve b*t - 6 = 4*h - 18, -t - 7 = h for h.
-2
Let v(c) = -c**3 + 2*c**2 + 37*c - 9. Let d be v(7). Solve -3*i = 2*y - 4, -y = 3*i - 0*y - d for i.
2
Let k(j) = -17*j + 73. Let g(s) = -8*s + 37. Let n(d) = 5*g(d) - 2*k(d). Let h be n(6). Solve 5*b = 4*q + 24, -2*b = -4*q - h*b for q.
-1
Let n(o) = -o**2 - 6*o - 3. Let g be n(-4). Suppose g*r + r = r. Solve 4*i = 5*a + 31 - 10, r = a + 5*i + 10 for a.
-5
Suppose 15 = -99*m + 102*m. Solve 4*w + c + 14 = 0, w - 1 = -2*w + m*c for w.
-3
Let w = 42 - 39. Solve 20 = 8*i - 3*i, 0 = w*u + 4*i - 28 for u.
4
Let a = 26 + -10. Suppose s + 0 - 2 = o, -5*s = 3*o - 26. Solve 18 = -5*w - o*f, -3*w + 5*f - a = f for w.
-4
Let v(m) = -m**3 + 16*m**2 - 29*m + 19. Let t be v(14). Solve -3*b - 6 = -6*z + 4*z, 15 = -t*z for b.
-4
Suppose 0 = -t - 5*z - 23 + 1, -3*t + 4*z = -29. Solve 4*g + 2*c = 20, -c - t*c = -2*g for g.
4
Let m(v) = -v**2 + 4*v + 10. Let c be m(6). Let z be (-2)/c + (-1 - (-2 - 1)). Let p be 8/6*(-15)/(-2). Solve -2*x = 2*r - 10, -2*x + 3 = z*r - p for r.
3
Suppose 34*a - 475 = 35. Solve 0 = -7*w + 2*w + 5*d - 5, -5*w + a = -d for w.
4
Let i be 15/(-15) - (-3)/1. Suppose -6*r + 3*r = -18. Solve -5*f + r = -i*q, 2*q + 2*q - 12 = -2*f for q.
2
Suppose -6024 + 6006 = -9*w. Solve 0 = 4*z - w*z + 2, z = -4*g + 3 for g.
1
Suppose -108 = -7*o + 3*o. Suppose 5*w + 2 = o. Solve -w*q - 21 = -d, q + d + 9 = -0*d for q.
-5
Let m(d) = -2*d**2 - d**2 + d + 3 + 2*d**2. Let r be m(0). Let w be (-6 + 3)*24/(-18). Solve -6 = 5*g - v + 3, -w*g + 8 = r*v for g.
-1
Let o(l) = 87*l - 174. Let v be o(2). Solve -n + 2*i = v, i - 4*i - 13 = 5*n for n.
-2
Suppose -48 = -15*p - 18. Solve -2*b + p = 5*n + 15, 2*b - 3*n - 11 = 0 for b.
1
Let w be 1*(18 + 2) + 0. Let n(s) = -7*s - 2. Let f be n(-1). Let u(g) = g**2 - 5. Let y be u(3). Solve -4*z + h = -z - w, 0 = -y*z - f*h - 5 for z.
5
Suppose 1535*g = 1543*g - 16. Solve -4*q + 3*v = 28, -g*q + v + 8 = 5*v for q.
-4
Let p be 3*100/(-45)*15/2. Let h = p - -73. Solve 0 = -o - 5*x + h, 3*o + x = -o + 16 for o.
3
Let a = 453 + -438. Let z = 8 + -5. Solve -z*p - a = 3*i, p | {
"pile_set_name": "DM Mathematics"
} |
y/6 - 0). Which is the third smallest value? (a) 2 (b) z (c) 5
c
Let l = 2.3 + -2. Let o = 0.85 - 0.05. Let b = o - -2.2. What is the third smallest value in b, l, -1?
b
Let k = 4.06 - 0.06. Let p = -2.543 - -2.543. Which is the biggest value? (a) p (b) 3 (c) k (d) -3/2
c
Let j = -13 + 23. Let b be 0 - (24/j + -2). Let h = 73 - 73. What is the smallest value in 2/9, h, b?
b
Let h = -7.99 - -7.59. Which is the third smallest value? (a) h (b) 0.3 (c) -14 (d) 1/3
b
Suppose 22*u - 672 = 604. Which is the smallest value? (a) 0.2 (b) -3 (c) u (d) -4/3
b
Let y = -8 - -7.96. Let t = -10.96 + y. Let n = t + 11. Which is the biggest value? (a) -2/3 (b) n (c) 4
c
Let n = 0.842 - 0.93. Let y = 0.312 - n. Let i = 3 + 1. Which is the smallest value? (a) y (b) -1/5 (c) i
b
Let i = 7.1 - 7.105. Let k = i - -2.005. What is the smallest value in -3/4, -3/5, k, 1/2?
-3/4
Let o = 369 - 372. Let t = 0.05 - -0.15. Which is the second smallest value? (a) o (b) -5 (c) 4 (d) t
a
Let n = 8 + -7. Let f be n + (4/(-4) - -1). Let k = -14.2 + 14. Which is the second biggest value? (a) f (b) k (c) 6
a
Let i = -14 + 15. Which is the third smallest value? (a) -6/11 (b) 0 (c) i
c
Let r = 0.31 - -1.19. Let v = -1.4 + r. What is the biggest value in v, 3, -0.4?
3
Let k = 2.3 + 2.7. Which is the third biggest value? (a) -8 (b) k (c) -2 (d) 3/2
c
Suppose p + 2 = -2*u - 6, 8 = -2*u + 5*p. Let t = -30 - -27. Which is the second smallest value? (a) t (b) u (c) -0.3
a
Let x = 162/5 + -977/30. What is the fourth smallest value in -0.3, -0.01, x, -3?
-0.01
Suppose 3*z = 4*q - 86 + 89, -q - 4 = -4*z. Which is the third biggest value? (a) 2/13 (b) -0.008 (c) q
b
Let o = 23.6 - 1.6. Let x = o - 11. Let h = 9 - x. What is the biggest value in 2, h, 5?
5
Let f(h) = h**2 + 7*h - 5. Let g be f(-8). Let p = 5.118 - 0.118. Which is the third biggest value? (a) p (b) 4/3 (c) -2/9 (d) g
b
Let o(d) = -8*d**3 + d. Suppose 3 = 3*p - 0. Let y be o(p). Let w be 7/y*(0 + 0). What is the third biggest value in w, -4, 2?
-4
Let s be ((-4)/(-10))/(8/(-4)). Let t = -411 - -410.7. What is the third biggest value in -1/3, t, s, -0.5?
-1/3
Let x = 53/4 + -13. Let v = -56 - -46. Let n be v + 9 + (-8)/(-7). Which is the second smallest value? (a) -2 (b) n (c) x
b
Let x = -509 - -509.4. Which is the second biggest value? (a) x (b) -0.33 (c) -3/2 (d) -0.4
b
Let o = 721 - 716. What is the second biggest value in 0.9, -0.09, o, -5?
0.9
Suppose 2 = 2*q + 4*r, -q + 3*q + r + 1 = 0. Let c = -52 - -56. What is the smallest value in q, 0.1, c?
q
Suppose 14*g + 5 = 47. Let h = -4 - -3. What is the second smallest value in h, 5, g?
g
Let b = -0.09 + -1.91. Let d be 1*1*5/15*-1. What is the third biggest value in b, d, 0.3, 0.1?
d
Let i = 11 + -6. Let s = 6.3 + -6.8. What is the third biggest value in 2/3, s, i?
s
Let q(r) = -2*r + 4. Let l be q(-4). Suppose 2*g = 6*g - l. Let h = -0.12 - -1.12. Which is the second biggest value? (a) h (b) g (c) 0.1
a
Let s(c) = -c**3 - 5*c**2 - 8*c - 4. Let m be s(-6). Let v be 26/(12/m*-3). Let r = v + 58. What is the second biggest value in r, 1/6, 2/11?
2/11
Let p = 1.9115 - -0.0885. Which is the fourth biggest value? (a) p (b) 3 (c) 36 (d) 1
d
Let s = 19 - 24. Let c = s + -3. Let k = c + 7. What is the third biggest value in -2/7, 1, k?
k
Let o = -276 - -271. Which is the smallest value? (a) o (b) -2/13 (c) 34
a
Let m be (-5 - -3) + 153 + 1. Let w = m + -756/5. Which is the biggest value? (a) w (b) 0 (c) 2/5
a
Let o be ((-12)/12)/(-1*(1 + 2)). Which is the smallest value? (a) o (b) 0.34 (c) -2
c
Let i = -0.07 - -0.47. Let k = -0.44 + i. Let h = 0.06 - k. Which is the second biggest value? (a) h (b) -0.7 (c) -2/13
c
Let o = -97 - -101. What is the biggest value in o, -28, -3/8?
o
Let l be ((10 - 16)/(-18))/((-8)/10). What is the third smallest value in 0.01, 4, l?
4
Suppose 5*y + 366 = 346. Which is the second smallest value? (a) y (b) 5/6 (c) -0.5 (d) -10/9
d
Let z(t) = t**2 - 16*t + 11. Let f be z(15). Let r be 3 + -1 + (-216)/114. Which is the biggest value? (a) f (b) r (c) 0.3
c
Let g(o) = -4*o - 1. Let t be g(-6). Let k(s) = -3*s**2 + s - 4. Let v be k(3). Let y = v + t. Which is the second smallest value? (a) 0.1 (b) y (c) 2/7
a
Let t = 14 + -10.2. Let g = -2.8 + t. Let l = 26.5 - 26. Which is the biggest value? (a) g (b) l (c) -2/7
a
Let i be (-20)/(-12)*24/20. Suppose -i*r + 11 = 7. Which is the second biggest value? (a) r (b) 0.4 (c) -2
b
Let k = -0.1 + 0.2. Suppose -21*z = 111 - 195. Which is the second smallest value? (a) k (b) 3 (c) -2 (d) z
a
Let g = 0.3 - -1. Let j be -2*(2/15 + 96/(-45)). Suppose 3*t - 20 = -4*v, -4*t + j + 11 = 3*v. What is the biggest value in g, v, 1/4?
v
Let w = -1392 + 1388. What is the third smallest value in -5, 78, 2, w?
2
Let l = -7.32 + 5.13. Let i = -0.81 + l. What is the third biggest value in i, -0.1, 5?
i
Let n = 137 - 137.1. What is the smallest value in n, 2/17, -5, -16?
-16
Let k = 299.5 - 299. What is the third smallest value in k, 4, 0.002?
4
Let u = -30.3 - -35.3. What is the fourth biggest value in -0.2, -2/5, u, -5?
-5
Let g = -30 - -9. Let u = g - -16. Let d = -0.1 + 5.1. What is the second smallest value in u, d, 2/15?
2/15
Let z = 1734 + -1733.6. Which is the smallest value? (a) 3 (b) -0.2 (c) -4 (d) z
c
Let u = -334 + 335. Which is the third biggest value? (a) -18 (b) 0.1 (c) 0.2 (d) u
b
Let s = -1937 + 1936. What is the second smallest value in 5/4, s, -2/203?
-2/203
Let o = -0.72 + 6.32. Let q = 6.1 - o. Which is the third smallest value? (a) -1/2 (b) q (c) 5/3 (d) -1/3
b
Let s = -0.324 + -0.04. Let u = s + -0.036. Let f = -1.3 - 4.7. Which is the smallest value? (a) 3/5 (b) u (c) f
c
Let l = -768 + 2303/3. What is the fourth smallest value in -0.4, -9, l, 2/17?
2/17
Let b = 0.06 + -0.05. Let k = 13 + -16. What is the fourth smallest value in b, 0.1, k, -2/7?
0.1
Suppose 6*v - 16*v - 30*v = 11*v. Let q = -33 - -19. Let r be (1/4)/(q/24). What is the second biggest value in r, v, 0.2?
v
Suppose -12 = -4*u + q, 105*u - 5*q + 6 = 107*u. What is the third smallest value in -7/3, -2, -2/15, u?
-2/15
Let w = -860 - -863. Suppose 0 = -2*c - c - 3*g + 18, -4*g = -3*c - 17. What is the biggest value in c, -2, 1/3, w?
w
Let j = -604/1485 - -2/297. Which is the third smallest value? (a) j (b) -0.3 (c) 0.2 (d) 25
c
Let o be (-200030)/(-12) + 3/(-18). Let s = o + -83698/5. Let q = s - -71. Which is the third biggest value? (a) -2/7 (b) 1 (c) q
a
Let s = 21.8 - 22. Which is the smallest value? (a) -5 (b) 9 (c) s (d) 2
a
Let h = -11.05 - -31.6. Let q = h + 0.45. Which is the biggest value? (a) 2/23 (b) 0 (c) q (d) 0.5
c
Let m be (-30)/(-25)*-5 + -7. Which is the second smallest value? (a) -1 (b) m (c) 0.1 (d) -3
d
Let a = 988.4 - 988. What is the smallest value in -14, -1, a, -2?
-14
Let r(p) = -p**2 - 2*p - 4. Let s be r(0). Let v be (1 + -1)*1/(-2). What is the second biggest value in s, 2/5, v?
v
Let m(i) = 3*i**2 - 123*i - 122. Let y be m(42). Let u(p) = p + 6. Let w be u(-5). Which is the third biggest value? (a) 0 (b) y (c) w
a
Let x = -86 + 162. Let f = 75.6 - x. What is the biggest value in f, -14, 0?
0
Let r = 90.724 + -94.7. Let g = r + -0.074. Let y = g - -0.05. What is the third biggest value in y, -0.3, 5?
y
Let r(k) = -23*k - 145. Let t be r(-6). Let o = 0 + -0.5. Which is the second biggest value? (a) -4 (b) t (c) o
a
Suppose -4*l = -2*l. Let v = 3.751 + -4.251. Which is the second biggest value? (a) v (b) l (c) -14/15
a
Let h = -0.27 + -0.03. Suppose 11*z = d + 7*z - 4, 0 = -3*d - 2*z - 16. Which is the second biggest value? (a) d (b) -0.4 (c) h
b
Let z = 3 + -2.7. Which is the third biggest value? (a) -62 (b) z (c) 4
a
Let q = 144.97 + -144. Let t = 3.03 + q. Let g = 2 - 1.95. Which is the second smallest value? (a) -2/15 (b) g (c) t
b
Let g = -5.1 - -0.1. What is the third biggest value in -2/9, g, -0.1?
g
Let h(x) = -30*x**3 - x - 1. Let v be h(-2). Let n = v + -4575/19. Which is the third biggest value? (a) 0.5 (b) -2 (c) n
b
Let g = -19 + 19.1. Which is the second biggest value? (a) g (b) -4 (c) 3 (d) -3
a
Let n = 3 + -4.8. Let y = 81.6 - 79.9. Let x = n + y. Which is t | {
"pile_set_name": "DM Mathematics"
} |
, 224 = 36*s - 4*h for s.
6
Solve -18 = 2*w - 8*i, 8502*i + 8 = -4*w + 8504*i for w.
-1
Solve -j - 116 = 13*b - 27, 3*b = -b + 7355*j - 7353*j - 32 for b.
-7
Solve 2*b + c + 684465 = 684445, -3*c = 5*b + 49 for b.
-11
Solve y = -3*p - 23, 3*y - 6*p + 0 + 3 + 12 - 36 = 0 for y.
-5
Solve -a = -13*l + 53, -60*l - a = -62*l - 2*a + 22 for l.
5
Solve -b + 4*w = 19, 477 - 468 = b + 3*w for b.
-3
Solve -21*w = -2*w - 5*x + 137, -421*x = -w - 419*x - 35 for w.
-3
Solve -8*c + 3*m + 63 = 14*c, -4586 + 4691 = c - 5*m for c.
0
Solve 2*p - 4*p + 2 = l + 2*p, l - 143*p - 14 = 159*p - 318*p for l.
-2
Solve -8*s = 6*s + p + 111, 1227*s - 2*p - 102 = 1225*s for s.
-4
Solve 0 = -3*t + 3*m - 15, 7*t + 76*m - 79*m + 39 = 0 for t.
-6
Solve -x = 176*c - 179*c + 33, -2*c + 284 + 113 = -9*x for c.
-4
Solve 408*h - 405*h - 56*z - 374 = 0, h = -3*z - 27 for h.
-6
Solve 257*j = 84*j + 80*j + 79*j - i + 22, 0 = -j - 4*i + 143 for j.
-1
Solve 3*j + 4*w - 70 = 125 + 38, -44*j = -3*w + 36 for j.
3
Solve 4*z = -2*t - 22, -124848 + 124863 = -3*z - 3*t for z.
-6
Solve -4*k - 12 = a, 0 = -135*a + 137*a + 2*k for a.
4
Solve 0 = -4*l - d + 14, -4*l + 51*d - 1993 + 239 = 0 for l.
-5
Solve -3*a - 65 = -4*g - 7*a - 105, 0 = 4*a - 0 + 4 for g.
-9
Solve -4*g - 4*u + 70 = -9*g, 412*g = 417*g + 23*u - 65 for g.
-10
Solve 5*l - 25 = -5*u, -5*u = 10*l + 1 - 51 + 5 for l.
4
Solve 80 = t - 2*j, -170*j - 111 = -2*t + 164*j - 329*j + 87 for t.
4
Solve 3*d - 99 = -18*u, -u - 379785*d + 379781*d = -17 for u.
5
Solve -9*m + 9*m - 34*r = 4*m - 29*r - 168, -5*m - 2*r = -227 for m.
47
Solve -v - 9 = 0, -104*u - 15 = -107*u + v for u.
2
Solve 6*k - 179087*g - 44 = -179085*g, 3*g = 5*k - 58 for k.
2
Solve -9*q + 4*g + 5*g - 26 = -20*q, 5*q + 2 - 26 = 2*g for q.
4
Solve -6*l + 3*k + 13009 = 12961, -3*k - 27 = l for l.
3
Solve 2*v - 3*j - 19 = 46, -86*v - 8*j - 19 = -3*j for v.
1
Solve -x - 18 = 7*l, -9909*x = 2*l - 9905*x + 20 for l.
-2
Solve 3488*t - 3504*t = 2*q - 24, -3*q = 3*t - 36 for t.
0
Solve 0 = -i + 2*m + 6, -6668*m + 6671*m + 19 = -i for i.
-4
Solve -9381*l = -9378*l + 7*v + 21, -2*v + 14 = -2*l for l.
-7
Solve -27*r + 7*r - 65 = -7*k - 15*r, -18 = 3*r for k.
5
Solve 4*g + 3*x = -2904 + 2922, -6*g + 32 = 5*x for g.
-3
Solve 16 + 38 = 3*m + 5*y, -406*y + 154 = m - 393*y for m.
-2
Solve -1170*i + 1175*i - 33 = 4*x, -3*x - x - 5*i = -57 for x.
3
Solve -4570*g + 4575*g - 38 = 2*b, -2*b = g + 38 for b.
-19
Solve 3*a - 117 = 0, 4*p + 5268 = -9*a + 5631 for p.
3
Solve 5*b - 27*s + 20 = -87, -6 + 74 = -4*b + 4*s for b.
-16
Solve 5*w - 108*d + 37*d - 126*d + 843 = 0, 5*w + 4*d + 39 = 0 for w.
-11
Solve 2*c - 12*b + 9 = 35, -b - 35 + 32 = -c for c.
1
Solve 4*t = 7*c + 8*c + 82, 0*t + 3*t = 42*c - 36*c + 51 for t.
13
Solve 2*y + 0*y + x = 23, 2*x + 47 + 26 - 11 = 8*y for y.
9
Solve 26*a + 156 = 30*a - 24*z, -2*a + 2*z = -6*a + 78 for a.
21
Solve -79879 = -s + j - 79886, 0 = 58*s - 2*j - 42 for s.
1
Solve -2*f - 55*b + 34 = -53*b, 0 = 9*f + 4*b - 78 for f.
2
Solve -4*n + 211099 - 211212 = -t + 4*t, 2*t - 61 = 2*n - t for n.
-29
Solve 2012669*d - 2012668*d = -k + 13, d + 11 = k for d.
1
Solve 2*g = 5*m - 70, -792*g = 2*m - 786*g + 176 for m.
2
Solve -13*v + 722 = j - 697 + 1327, -4*j - 4*v + 32 = 0 for j.
1
Solve -b = 3, u + 2*u + 303 = -3*b + 243 for u.
-17
Solve -16*t - 3*g = 660 - 795, -3*g = 5*t - 102 for t.
3
Solve 0 = -5*c - 0*c + 231*b - 235*b - 50, -25*b - 5*b = -6*c + 288 for c.
-2
Solve -3*h - 12*z + 183 = 0, 3614573*h = 3614575*h + 2*z - 122 for h.
61
Solve 6*r = -4*c + 21*r - 75 - 71, -r - 8 = -5*r for c.
-29
Solve 0 = -m + 1, 5*k + 14015 = -63*m + 14068 for k.
-2
Solve -4*s - 880*f - 76 = -877*f, 2*s + 54 = -2*f for s.
5
Solve 4*l + g + g + 53 = 93, -142*g = -2*l + 592 for l.
12
Solve -u - 930 + 966 = m, 0*u + u + 11*m - 300 = 46 for u.
5
Solve -23*z - 95014*i - 422 = -95009*i, -i = -z - 22 for z.
-19
Solve u - 3*w - 24 = -3*u - 3, 5*u - u + w = 9 for u.
3
Solve 3*i + 4*q - 5*q + 266 = 294, -21 = -7*q - 2 - 110 for i.
5
Solve 31*d - 31 = 3*x, -716*x - 5 = -5*d - 711*x for d.
1
Solve -5*j - 59 = 42*r - 75, 5*r = 4*j - 90 for j.
20
Solve k + 173204 = c + 173196, -20 = 2*c + 4*k for c.
2
Solve q - 8*c - 8 - 18 = -0*q + 3, 252*q - 249*q - 21 = 2*c for q.
5
Solve 3*k = 3*s - 0 - 12, 2192*k - 4*s = 2195*k - 9 for k.
-1
Solve -38*z - 128 = -21*z + 15*k, 334*z + 4 = 337*z - 4*k for z.
-4
Solve -265 = -14*c + b, 20558 = -2*c - b + 20597 for c.
19
Solve w = 2*c - 3, 96*w - 101*w - 31*c = -67 for w.
1
Solve -4*q = -74*l - 448, 95*q - 12 = 90*q + 5*l - 6 + 29 for q.
1
Solve l - 1 = 2*j + 4, -6484*j = -4*l - 6488*j + 20 for l.
5
Solve -5*q = -l - 454816 + 454815, -4*l - 76 = 4*q for q.
-3
Solve -18*a - 5*w + 1015 = 0, 384094*a = 384090*a + w + 215 for a.
55
Solve 14*j + 73 = -53*v + 51*v + 42*j - 23*j, 7 = -5*v - j for v.
-4
Solve 5*n + r = 2*r + 769 - 791, 3*n + 66 = 3*r for n.
0
Solve -2*p - 2*x + 126 - 65 = 55, 15 = -10*p - x for p.
-2
Solve 5*x = 2*u + 31, -8*u + 3*x + 2 - 23 - 18 = 0 for u.
-3
Solve -4*a - 2*l - 118 = 0, -1204*a = -1209*a + 3*l - 142 for a.
-29
Solve 77 = 3*h - 5*k, 0 = -4250*h + 4246*h - 4*k + 60 for h.
19
Solve 4*y = -5*b + 66, -4*y - 137 - 138 = -b + 140 - 421 for b.
10
Solve -69718*k + 69713*k + 8*v + 47 = 0, -k = 5*v + 17 for k.
3
Solve -2667*d - m - 50 = -2663*d, -20 = 2*d - 2*m for d.
-12
Solve -3*x + 30 = -2*j, -6*j + 8*x - 16 = -j - 4 + 65 for j.
-9
Solve -2*s + 38 = 5*d, -114512*d = -114511*d + 2*s - 30 for d.
2
Solve 4*v - 4*m = 68, -391690*m = -5*v - 391687*m + 87 for v.
18
Solve 30*y - 28*y = 2*q - 16, 5*y = 3*q - 48 for y.
-12
Solve 2*f = -b + 9, -91*f + 193*f + 19 = 3*b + 106*f for b.
1
Solve 0 = d + 5*n - 16 + 83, -d + 12*d + 142 = 5*d - 10*n for d.
-2
Solve -3*z = 7967*i - 7971*i + 20, -16 = -2*i + 3*z - 0 for i.
2
Solve 2*v + 17*g - 22*g + 19 - 207 = 0, 14*v - 176 = 5*g for v.
-1
Solve -h = 3*k - 18, h - 15738*k - 19 = -0*h - 15740*k for h.
21
Solve -2*n + 10*d - 110 = 0, -3*d - 1857 = n - 1898 for n.
5
Solve -22*m = -3*z + 589 - 598, -z - 3 = 2*m for m.
0
Solve -r = 3*c - 20, -18094*r + 2*c = -18099*r + 22 for r.
2
Solve 108*i - 216*i + 110*i - 8*p + 18 = -3*p, 28*i + 118 = 3*p for i.
-4
Solve -5*f - 6*m - 45 = -11*m, -10*m + 11*m + 9 = 4*f + 6*m for f.
-4
Solve 20*g + t - 167 = 0, -4*t + 1891 = 1463 for g.
3
Solve 0 = -3*k - z + 14, -16*k - 514354*z + 75 = -514349*z for k.
5
Solve 3*w - 499*u = -442*u - 384, -4*u + 38 = 2*w for w.
5
Solve -3*s - p = -25, 10653*p + 171 = 10662*p for s.
2
Solve 24*o + s - 22 + 2 = 46*o - 26*o, -14*s + 12*s = 5*o - 25 for o.
5
Solve -5*r + 2*o = 7 + 20 + 4 - 0, -4*o + 7 = r for r.
-5
Solve 0 = 4*x - 4*f + 4, 51179*x + 4*f - 2*f + 28 = 51175*x for x.
-5
Solve 3*b - 5*v + 38 = 0, 1596030*v + 8 = -3*b + 1596032*v for b.
4
Solve -16*a - 84 = -2*m + 180, -86*m + 82*m = -2*a - 48 for m.
4
Solve -105050 = 3*t + 3*a - 105077, 2*a + 60 = 4*t for t.
13
Solve 14*g - 53 = 5*c, g - 8499*c = -8497*c + 12 for g.
2
Solve 6*a - 10 = -2*f + 4*a - 0*a + a, -3*f + 6*a - 30 = 0 for f.
2
Solve -3*a = 4*b + 22, -31*a - 16 = 2*b - 27*a for b.
-4
Solve 0 = -x - 11*l - 33 - 15, 5*x - l + 6*l + 40 = 0 for x.
-4
Solve -432*z + 437*z = 4*c + 90, -3*c + 5*z + z = 11*z - 125 for c.
5
Solve -4*y + 54 = 16*p - 42, 5*p - 8 - 25 = -2*y for p.
5
Solve -z + 5*z = 2*s, -10*z = -14*z + 7*z + 15 for s.
-10
Solve 0 = 10*u - 15*a - 455 + 545, 0 = -2*u - a + 6 for u.
0
Solve i + 13 = 4*j - 17, 0*i - 16 - 35 = 4*i + 7*j for i.
-18
Solve 3*h = -143*y + 142*y + 220, -7*y + 72 = h - 6*y for h.
74
Solve -998265 = 5*y + 4*g - 998255, 5*g = 18*y + 36 for y.
-2
Solve -18*g - 144792*k - 906 = -144796*k, 99 = -2*g + k for g.
-51
Solve 3*n - 5*n - 2*k - 66 = 0, -k - 21 = 72*n - 38*n - 29*n for n.
3
Solve -2*j + 4*u - 186 = 0, 1951366*j - 5*u = 1951361*j - 247 + 12 for j.
-1
Solve 6 = j + c, -2*j + 80238 - 80225 = c for j.
7
Solve -3044*x - 3 + 2 + 17 = -3040*x, 0 = 3*y + 4*x + 35 for y.
-17
Solve 4*l + 284702*i - 284696*i + 2 = 0, -2*l + 3*i = 19 for l.
-5
Solve 17*h - 14*h + 24 - 42 = 2*j, -14*h + 4*j - 7*j = -10 for h.
2
Solve -8*r + 68 = -5*k, 278*k + 28 = 274*k + 2*r for k.
-4
Solve -15 = -5*f + 96034*r - 96039*r, 9*f - 27 = -4*r for f.
3
Solve -5*i + 16362*v - 9 = 16360*v, 50 = -2*i - 5*v for i.
-5
Solve 3*c + 4*c = 3*b + 107, -7*c + 6*c = -3*c + 2*b + 34 for c.
14
Solve -3 | {
"pile_set_name": "DM Mathematics"
} |
929551, -1394330, -1859109?
-464779*d + 7
What is the r'th term of 13558, 27094, 40630?
13536*r + 22
What is the s'th term of 254, 608, 986, 1388, 1814?
12*s**2 + 318*s - 76
What is the p'th term of -7635, -7596, -7559, -7524, -7491, -7460, -7431?
-p**2 + 42*p - 7676
What is the x'th term of 356, 1347, 2992, 5291, 8244?
327*x**2 + 10*x + 19
What is the t'th term of -530, -4116, -13834, -32750, -63930, -110440, -175346, -261714?
-511*t**3 - 9*t - 10
What is the g'th term of 9674760, 19349520, 29024280, 38699040, 48373800, 58048560?
9674760*g
What is the n'th term of -193682, -774723, -1743124, -3098885, -4842006?
-193680*n**2 - n - 1
What is the q'th term of 1159, 2255, 3345, 4429, 5507?
-3*q**2 + 1105*q + 57
What is the m'th term of 10, -491, -2022, -5099, -10238, -17955, -28766?
-86*m**3 + m**2 + 98*m - 3
What is the k'th term of -634334, -634338, -634344, -634352?
-k**2 - k - 634332
What is the o'th term of 265, 412, 625, 904, 1249, 1660, 2137?
33*o**2 + 48*o + 184
What is the i'th term of -37276, -37289, -37302?
-13*i - 37263
What is the h'th term of -282, -414, -546, -678?
-132*h - 150
What is the i'th term of -1237, -1242, -1247?
-5*i - 1232
What is the b'th term of -18591, -18624, -18681, -18762?
-12*b**2 + 3*b - 18582
What is the f'th term of 197, 365, 529, 689, 845, 997, 1145?
-2*f**2 + 174*f + 25
What is the s'th term of 815, 2704, 5859, 10280, 15967, 22920?
633*s**2 - 10*s + 192
What is the v'th term of 76, -175, -564, -1091?
-69*v**2 - 44*v + 189
What is the i'th term of 4497, 9192, 13887?
4695*i - 198
What is the h'th term of 1846, 3743, 5662, 7615, 9614, 11671?
2*h**3 - h**2 + 1886*h - 41
What is the c'th term of 1817, 3627, 5437, 7241, 9033, 10807?
-c**3 + 6*c**2 + 1799*c + 13
What is the m'th term of 1871, 993, 115, -763?
-878*m + 2749
What is the i'th term of 5251, 5247, 5243?
-4*i + 5255
What is the n'th term of 46, 192, 604, 1426, 2802, 4876, 7792, 11694?
24*n**3 - 11*n**2 + 11*n + 22
What is the y'th term of -132425, -264848, -397271, -529694?
-132423*y - 2
What is the y'th term of 943, 7289, 24507, 58033, 113303, 195753, 310819, 463937?
906*y**3 + 4*y + 33
What is the o'th term of -701, -1382, -2037, -2654, -3221?
2*o**3 + o**2 - 698*o - 6
What is the x'th term of 549, 921, 1295, 1671, 2049, 2429?
x**2 + 369*x + 179
What is the q'th term of -285, -742, -1535, -2832, -4801?
-28*q**3 - 261*q + 4
What is the o'th term of 467, 492, 519, 548, 579, 612?
o**2 + 22*o + 444
What is the g'th term of -8821, -8818, -8815, -8812, -8809, -8806?
3*g - 8824
What is the n'th term of 40, 184, 424, 760, 1192?
48*n**2 - 8
What is the b'th term of -111458, -222917, -334376?
-111459*b + 1
What is the j'th term of 69520, 139039, 208558, 278077?
69519*j + 1
What is the s'th term of -36, -113, -228, -381?
-19*s**2 - 20*s + 3
What is the k'th term of 204, 418, 630, 840, 1048, 1254?
-k**2 + 217*k - 12
What is the z'th term of -5838252, -11676502, -17514752, -23353002, -29191252, -35029502?
-5838250*z - 2
What is the r'th term of 21237, 84938, 191107, 339744?
21234*r**2 - r + 4
What is the c'th term of -81, -48, -25, -12, -9?
-5*c**2 + 48*c - 124
What is the k'th term of -1803, -1844, -1923, -2046, -2219, -2448, -2739?
-k**3 - 13*k**2 + 5*k - 1794
What is the p'th term of -1040, -2081, -3124, -4169, -5216, -6265, -7316?
-p**2 - 1038*p - 1
What is the r'th term of -1326, -2509, -3692?
-1183*r - 143
What is the a'th term of 4450, 4449, 4448, 4447, 4446, 4445?
-a + 4451
What is the s'th term of 24136, 48250, 72362, 96472, 120580, 144686?
-s**2 + 24117*s + 20
What is the g'th term of 25605, 25602, 25597, 25590, 25581, 25570, 25557?
-g**2 + 25606
What is the n'th term of 177, 323, 469?
146*n + 31
What is the o'th term of 3588, 7146, 10702, 14256?
-o**2 + 3561*o + 28
What is the q'th term of -1772, -1797, -1822?
-25*q - 1747
What is the l'th term of -1246, -1226, -1218, -1228, -1262, -1326, -1426, -1568?
-l**3 + 27*l - 1272
What is the u'th term of -901297, -1802589, -2703879, -3605167?
u**2 - 901295*u - 3
What is the x'th term of 643, 627, 585, 505, 375, 183?
-2*x**3 - x**2 + x + 645
What is the w'th term of 2, -283, -758, -1423?
-95*w**2 + 97
What is the p'th term of 582, 1061, 1540?
479*p + 103
What is the d'th term of 1648, 1651, 1656, 1663?
d**2 + 1647
What is the p'th term of -219, -1021, -2345, -4191, -6559, -9449?
-261*p**2 - 19*p + 61
What is the a'th term of -1297394, -1297396, -1297398?
-2*a - 1297392
What is the w'th term of -1297, -2005, -2713, -3421, -4129?
-708*w - 589
What is the b'th term of 14317, 28667, 43049, 57457, 71885, 86327?
-b**3 + 22*b**2 + 14291*b + 5
What is the n'th term of 1695, 3412, 5153, 6918, 8707, 10520, 12357?
12*n**2 + 1681*n + 2
What is the z'th term of -1519, -2971, -4301, -5449, -6355, -6959, -7201?
10*z**3 + z**2 - 1525*z - 5
What is the v'th term of -2005, -8059, -18143, -32251, -50377, -72515, -98659, -128803?
v**3 - 2021*v**2 + 2*v + 13
What is the y'th term of -71372, -142736, -214100?
-71364*y - 8
What is the t'th term of 5995, 5993, 5991?
-2*t + 5997
What is the n'th term of 138, 779, 1856, 3375, 5342, 7763, 10644, 13991?
n**3 + 212*n**2 - 2*n - 73
What is the i'th term of -86, 51, 186, 313, 426?
-i**3 + 5*i**2 + 129*i - 219
What is the m'th term of -114037, -114073, -114109, -114145, -114181, -114217?
-36*m - 114001
What is the n'th term of 235239, 235238, 235237, 235236?
-n + 235240
What is the h'th term of -471, -479, -509, -573, -683, -851, -1089, -1409?
-2*h**3 + h**2 + 3*h - 473
What is the u'th term of -12693, -25387, -38081, -50775, -63469, -76163?
-12694*u + 1
What is the p'th term of 401, 815, 1229?
414*p - 13
What is the b'th term of -565, -609, -649, -685, -717?
2*b**2 - 50*b - 517
What is the w'th term of -74, -154, -230, -302?
2*w**2 - 86*w + 10
What is the w'th term of 345, 841, 2189, 4815, 9145, 15605?
71*w**3 - w + 275
What is the v'th term of 485487, 1941957, 4369413, 7767861, 12137307, 17477757, 23789217, 31071693?
v**3 + 485487*v**2 + 2*v - 3
What is the k'th term of -155280, -155273, -155266?
7*k - 155287
What is the c'th term of 152748, 1221933, 4124010, 9775425, 19092624?
152741*c**3 - 2*c + 9
What is the o'th term of 36, -712, -1958, -3702, -5944?
-249*o**2 - o + 286
What is the a'th term of 37733, 37730, 37729, 37730, 37733, 37738?
a**2 - 6*a + 37738
What is the w'th term of 40631, 81292, 121953, 162614, 203275, 243936?
40661*w - 30
What is the t'th term of 6510, 13055, 19596, 26133, 32666?
-2*t**2 + 6551*t - 39
What is the x'th term of -134, -89, -34, 31?
5*x**2 + 30*x - 169
What is the o'th term of 804, 1660, 2516, 3372?
856*o - 52
What is the c'th term of -322, -698, -1056, -1402, -1742, -2082, -2428?
-c**3 + 15*c**2 - 414*c + 78
What is the k'th term of 4481, 17927, 40369, 71831, 112337, 161911, 220577, 288359?
4*k**3 + 4474*k**2 - 4*k + 7
What is the j'th term of 187831, 187824, 187817, 187810, 187803, 187796?
-7*j + 187838
What is the l'th term of -110, -415, -872, -1481, -2242, -3155?
-76*l**2 - 77*l + 43
What is the j'th term of -936, -1826, -2654, -3390, -4004?
5*j**3 + j**2 - 928*j - 14
What is the h'th term of -744, -745, -750, -759?
-2*h**2 + 5*h - 747
What is the p'th term of 1594, 3256, 5064, 7090, 9406, 12084, 15196?
12*p**3 + p**2 + 1575*p + 6
What is the t'th term of 13385, 26771, 40157?
13386*t - 1
What is the w'th term of 699, 904, 1119, 1350, 1603, 1884?
w**3 - w**2 + 201*w + 498
What is the z'th term of -45, -191, -343, -501, -665, -835, -1011?
-3*z**2 - 137*z + 95
What is the d'th term of 24180, 24162, 24144, 24126, 24108, 24090?
-18*d + 24198
What is the z'th term of -300342, -300343, -300344, -300345, -300346?
-z - 300341
What is the p'th term of -6024, -12060, -18100, -24144, -30192?
-2*p**2 - 6030*p + 8
What is the m'th term of 1504, 3006, 4502, 5992, 7476, 8954, 10426?
-3*m**2 + 1511*m - 4
What is the o'th term of 358, -222, -802?
-580*o + 938
What is the c'th term of 295, 269, 221, 139, 11, -175?
-2*c**3 + c**2 - 15*c + 311
What is the l'th term of 4237, 8473, 12709?
4236*l + 1
What is the p'th term of 29, 26, 57, 176, 437, 894, 1601, 2612?
9*p**3 - 37*p**2 + 45*p + 12
What is the m'th term of 2529, 5009, 7391, 9627, 11669, 13469, 14979, 16151?
-8*m**3 - m**2 + 2539*m - 1
What is the f'th term of -57290, -57281, -57272?
9*f - 57299
What is the s'th term | {
"pile_set_name": "DM Mathematics"
} |
) = 4*q - 59. Let n be z(16). Let p(o) = -o - 1. Let d be p(-8). Let m(k) = -d + 7 + n*k - 13 + 2*k. Let g(h) = 4*h - 7. Calculate 5*g(w) - 3*m(w).
-w + 4
Let u(b) be the first derivative of b**4/4 - b + 410. Let i(s) be the third derivative of s**6/40 - s**3/2 + 17*s**2. Determine -i(z) + 4*u(z).
z**3 - 1
Let w(h) = 20*h**2 + 17*h. Let s = 722 + -166. Let c = s - 562. Let i(p) = 0*p - 6*p + 0*p - 7*p**2. What is c*w(z) - 17*i(z)?
-z**2
Let a(v) = 3*v - 742. Let t(n) = 12*n - 2971. Determine 11*a(m) - 3*t(m).
-3*m + 751
Let a(v) be the third derivative of -v**5/15 + 5*v**3/6 + 8*v**2 - 3. Suppose 0 = -3*b - 6 - 3. Let i(t) = 5*t**2 - 5. Give b*a(p) - 2*i(p).
2*p**2 - 5
Let p(l) = -32*l + 3. Let o(w) be the first derivative of -8*w**2 + w + 7035. Determine 5*o(j) - 2*p(j).
-16*j - 1
Let s = -2180 - -2178. Let j(k) = -k**2 + k. Let m(y) = -2*y**3 - 4*y**2 + 2*y. Give s*j(b) + m(b).
-2*b**3 - 2*b**2
Let t(l) = 44*l**2 + 2*l - 51. Let b(d) = 11*d**2 + d - 11. Give 9*b(k) - 2*t(k).
11*k**2 + 5*k + 3
Let s(c) = -3*c - 1. Let n(b) be the third derivative of -b**4/8 - 17*b**2 - 8. Give -7*n(g) + 6*s(g).
3*g - 6
Let n(p) = -860*p**2 - 880*p + 110. Let u(z) = z**2 - 8*z + 1. Calculate 4*n(s) - 440*u(s).
-3880*s**2
Let o(d) = 16*d - 13. Suppose -6*t + 87 = 93. Let w be (t - -2)/(-14 - 759/(-55)). Let c(i) = -3 + 3 - 11*i + 9. What is w*o(h) - 7*c(h)?
-3*h + 2
Let y(a) = 21*a**2 - 4*a + 4. Let v(o) = 64*o**2 - 11*o + 11. Suppose 5*d + 3*p + 11 = 0, 5*p = -8*d + 6*d + 7. Give d*v(g) + 11*y(g).
-25*g**2
Let d(g) = -g**2 - 4. Let a(c) = -3*c**2 + 2*c + 16. Calculate -a(w) - 3*d(w).
6*w**2 - 2*w - 4
Let n = 5 - 0. Let x be (-4)/(-6)*-3 + n. Let y(w) = -w**3 - w**2. Let k(q) = -21*q**2 + 2*q**3 - 22*q**2 + 70*q**2 - 26*q**2. What is x*k(u) + 3*y(u)?
3*u**3
Let d(w) = w - 1. Let i(v) = -7*v**3 + v**2 - 6*v - 1. Let a be i(0). Let x(r) = -12*r + 7. What is a*x(l) - 4*d(l)?
8*l - 3
Let t(h) = 2*h**2 - 2*h + 9. Let u(s) = 24*s**2 + 28*s**2 - 105*s**2 - 19 + 21*s**2 + 28*s**2 + 5*s + s**3. Calculate -5*t(l) - 2*u(l).
-2*l**3 - 2*l**2 - 7
Let g be 0/(-7*(-3 - 20/(-7))). Suppose g = 2*d + 5*u - 2*u + 12, -3*d + 2*u - 5 = 0. Let a(k) = -6*k + 3. Let q(y) = 7*y - 2. Calculate d*q(r) - 2*a(r).
-9*r
Let f(z) = -1101430*z**2 - 187*z - 187. Let h(b) = 53081*b**2 + 9*b + 9. Calculate 9*f(g) + 187*h(g).
13277*g**2
Let f(n) = -n**3 + 8*n**2 + 173*n - 1. Let s(z) = -13*z**2 - 172*z + 2. Give 3*f(c) + 2*s(c).
-3*c**3 - 2*c**2 + 175*c + 1
Let s(l) = -151*l + 2. Let g(i) = i**2 + 2*i - 2. Determine 2*g(f) + s(f).
2*f**2 - 147*f - 2
Let a(v) = -2543*v**3 + 3*v**2 + 10*v + 23. Let b(x) = 1018*x**3 - x**2 - 4*x - 9. Calculate -5*a(f) - 13*b(f).
-519*f**3 - 2*f**2 + 2*f + 2
Let w(y) be the second derivative of 5*y**3/6 - y**2/2 + 233*y + 8. Let s(h) = h - h - 3*h + 2*h. Let o = 2 - -2. What is o*s(t) + w(t)?
t - 1
Let l(h) = -12259*h + 28. Let c(y) = 6126*y - 16. Calculate -7*c(d) - 4*l(d).
6154*d
Let n(g) = -g - 5. Let c be n(-8). Let r(k) = 2 - c + 0. Let v(d) = 2*d - 10. Let w(q) = q**2 + 5*q - 58. Let u be w(-11). What is u*r(y) - v(y)?
-2*y + 2
Let v(y) = -2*y**2 + 16*y - 4. Let w(a) = -3*a**2 + 16*a - 5. Let m be (4 + 119/(-21))/((-75)/(-180)). Calculate m*w(b) + 5*v(b).
2*b**2 + 16*b
Let c(b) be the third derivative of b**4/12 + b**3/2 - 3*b**2 - 209. Let i(g) be the second derivative of -g**3/6 - g**2/2 - 4*g. What is -2*c(x) - 5*i(x)?
x - 1
Let q(a) = 12985*a**3 - 220*a. Let u(v) = -481*v**3 + 8*v. What is 4*q(m) + 110*u(m)?
-970*m**3
Let c(x) = -489*x - 303. Let d(n) = 391*n + 303. Calculate -8*c(k) - 10*d(k).
2*k - 606
Let x(i) = 32*i + 4. Let f(b) = 173*b + 17. Let c(s) = 216*s + 21. Let y(k) = 4*c(k) - 5*f(k). Determine -x(o) - 2*y(o).
-30*o - 2
Suppose 40*a = -2459 + 2219. Let c(j) = -13*j**3 - 7*j**2 + 11. Let t(b) = 6*b**3 + 4*b**2 - 6. Calculate a*c(m) - 11*t(m).
12*m**3 - 2*m**2
Let x(f) = -13*f - 71. Let s(q) = 2*q + 24. Determine -7*s(i) - 2*x(i).
12*i - 26
Let c(a) = 46*a**3 + 6*a**2 - 8*a + 2. Let g(y) = 146*y**3 + 21*y**2 - 24*y + 5. Determine -7*c(q) + 2*g(q).
-30*q**3 + 8*q - 4
Let a(v) = 67*v**2 + 24*v - 30. Let z(k) = -333*k**2 - 120*k + 144. Determine -24*a(t) - 5*z(t).
57*t**2 + 24*t
Let f(r) = 68*r**2 + 25*r + 4. Let y(d) = 68*d**2 + 25*d + 5. Give 4*f(s) - 3*y(s).
68*s**2 + 25*s + 1
Let x(y) = 12*y**2 + y - 9. Let a(g) = 13*g**2 + g - 10. Let k(m) = -2*m**2 - 105*m - 993. Let j be k(-40). Determine j*x(t) - 6*a(t).
6*t**2 + t - 3
Let u(y) = 43*y**3 + 15*y**2 - 13*y + 86. Let c(s) = 21*s**3 + 7*s**2 - 6*s + 38. Give 9*c(p) - 4*u(p).
17*p**3 + 3*p**2 - 2*p - 2
Let i(o) = -6 + 2*o**2 - 61*o + 82*o - 7*o**2. Let q(b) = b**2 - 4*b + 1. Suppose 4*n - 50 = 3*s, 3*s = -n + 4*s + 13. What is n*q(m) + 2*i(m)?
m**2 - 2*m - 1
Let m(o) = -o - 1. Let b(h) = 3*h + 6. Let d be (-450)/(-315) + 4/28*-3. Calculate d*b(y) + 4*m(y).
-y + 2
Let d(u) = 2041*u**3 + 8*u + 4. Let o(q) = 46943*q**3 + 182*q + 91. Calculate 91*d(h) - 4*o(h).
-2041*h**3
Let a = 157 + -149. Suppose j = 3 - a. Let w(f) = -f. Let m(k) = 6*k - 1. Calculate j*w(c) - m(c).
-c + 1
Let i(a) = -a + 1. Let t(q) = -27*q**2 + 3*q - 2. Determine -2*i(k) - t(k).
27*k**2 - k
Suppose 3*o + 8 = -y, 3*y - 2*y = -5*o - 16. Let x(q) = -39*q**3 - 27. Let f(v) = 3*v**3 + 2. Determine y*x(i) + 54*f(i).
6*i**3
Let c(t) = -6*t**3 + 6*t**2 + 4*t + 3. Let b(s) = 5*s**3 - 5*s**2 - 3*s - 2. Suppose -3*r + 12 = -5*a, 17*r - 12 = 14*r - 4*a. Determine r*b(l) + 3*c(l).
2*l**3 - 2*l**2 + 1
Let h(r) = 2*r**3 + 10*r**2 - 6*r - 1. Let x(i) = -2*i**3 - 10*i**2 + 7*i + 1. Let z(u) = 211*u - 1892. Let q be z(9). What is q*h(s) + 6*x(s)?
2*s**3 + 10*s**2 - 1
Let u(d) = 2*d + 6. Let c(o) be the third derivative of -5*o**4/24 - 13*o**3/6 - 152*o**2. Let y = -115 + 128. Determine y*u(g) + 6*c(g).
-4*g
Let c(r) = -2*r**2 + 2*r + 1. Let n(v) = 10*v**2 - 5*v - 2. Let w(i) = 7*c(i) + 2*n(i). Let l(p) = -13*p**2 - 9*p - 7. What is 2*l(h) + 5*w(h)?
4*h**2 + 2*h + 1
Let n(w) = 6*w - 4 - 14 + 0*w + 20 - 4. Let q(i) = -1. Give -n(p) + 3*q(p).
-6*p - 1
Let r(p) = -11*p**2 + 4*p - 6. Let l(i) = -21*i**2 + 7*i - 11. Suppose -368 = -13*u - 225. Determine u*r(h) - 6*l(h).
5*h**2 + 2*h
Suppose 355*k + 59 = 296*k. Let z(g) = -6*g + 5. Let v(t) = -t + 1. Give k*z(u) + 3*v(u).
3*u - 2
Let n(c) = 1010*c**3 - 9*c**2 + 15*c + 18. Let t(x) = 504*x**3 - 4*x**2 + 7*x + 8. What is 4*n(w) - 9*t(w)?
-496*w**3 - 3*w
Let f(j) = -2*j**3 + 4*j**2 - 14*j + 4. Let n(t) = 2*t**3 - 5*t**2 + 13*t - 5. Suppose -2*a - x = -9, 4*x = 7*a - 12*a + 21. Give a*f(h) + 4*n(h).
-2*h**3 - 18*h
Let s(v) = 600*v - 62. Let k(h) = h + 5. Give 12*k(t) + s(t).
612*t - 2
Let f(t) = -4564*t**3 - t**2 + 2. Let g(a) = -18254*a**3 - 5*a**2 + 9. What is -9*f(i) + 2*g(i)?
4568*i**3 - i**2
Let p(b) = -35*b + 55. Let q(u) = u**2 - 32*u - 100. Let l be q(35). Let f(k) = -5 - 3 + l - 4*k + 7*k - k. Give 110*f(z) + 6*p(z).
10*z
Let i(p) = -16*p. Let o(n) = -323 - 308 + 631 + n. What is 3*i(z) + 24*o(z)?
-24*z
Let c(h) = -89*h**2 + 713*h - 6. Let d be c(8). Let t(w) = -2*w**3 + 2*w**2 - 2*w + 15. Let m(n) = n**2 - n. Calculate d*m(z) - t(z).
2*z**3 - 15
Let z(x) = -3353*x**3 - 13*x**2 - 7. Let h(a) = -1117*a**3 - 4*a**2 - 2. Give -7*h(w) + 2*z(w).
1113*w**3 + 2*w**2
Let i(x) = -x - 2. Let w = -852 + 481. Let g = 369 + w. Let k(n) = n + 3. Determine g*k(z) - 3*i(z).
z
Let k(b) = -26*b**3 - 4. Let a(w) be the second derivative of -77*w**5/20 - 11*w**2/2 - 1417*w. Determine 4*a(f) - 11*k(f).
-22*f**3
Let k be ((0 + 2)/(-4))/(5/(-130)). Let i(a) = 20 - 8 + k*a**2 - 5 - 12 + 3*a**2. Let f(d) = -40*d**2 + 12. What is -5*f(z) - 12*i(z)?
8*z**2
Let a(d) = 110*d**3 - 10*d**2 + 32*d - 17. Let x(u) = 128*u**3 - 12*u**2 + 32*u - 18. Determine 7*a(m) - 6*x(m).
2*m**3 + 2*m**2 + 32*m - 11
Let i(b) = b + 2. Suppose 4*s + 367 = 6*g - g, 3*s = -4*g - 252. Let z = -68 - s. Suppose 5*c + z - 5 = 0. Let a(t) = 4*t + 10. What is c*a(v) + 14*i(v)?
2*v - 2
Let v(a) = 3*a**3 - 67*a**2 - 3*a - 1. Let o(w) = -w**2 - w. Calculate 3*o(f) - v(f).
-3*f**3 + 64*f**2 + 1
Let p(w) = 1233*w**2 - 17*w - 79. Let h(j) = 154*j**2 - 2*j - 10. Determine -17*h(l) + 2*p(l).
-152*l**2 + 12
Let f(r) = r**2 + r. Let q(o) be the third derivative of 13*o**5/3 + 143*o**4/12 + 2*o**2 + 2383*o. What is 572*f(m) - 2*q(m)?
52*m**2
Let o(d) = -4*d - 2. | {
"pile_set_name": "DM Mathematics"
} |
f 214988231?
8
What is the thousands digit of 569729694?
9
What is the hundred millions digit of 369709614?
3
What is the tens digit of 770220560?
6
What is the ten thousands digit of 6377163694?
6
What is the hundreds digit of 8591484886?
8
What is the tens digit of 4977176674?
7
What is the hundreds digit of 26172553?
5
What is the ten thousands digit of 234110388?
1
What is the tens digit of 44043792?
9
What is the thousands digit of 9150110?
0
What is the tens digit of 4564294786?
8
What is the thousands digit of 1694369365?
9
What is the hundred thousands digit of 1938341439?
3
What is the tens digit of 2334293769?
6
What is the ten millions digit of 167036311?
6
What is the ten millions digit of 110092012?
1
What is the tens digit of 447288292?
9
What is the ten millions digit of 51273191?
5
What is the ten millions digit of 206653890?
0
What is the hundred thousands digit of 218071025?
0
What is the tens digit of 414067534?
3
What is the thousands digit of 40403774?
3
What is the thousands digit of 655692045?
2
What is the tens digit of 159392808?
0
What is the hundreds digit of 6398537698?
6
What is the hundred thousands digit of 915532351?
5
What is the millions digit of 39407520?
9
What is the ten millions digit of 12300230?
1
What is the units digit of 72898954?
4
What is the thousands digit of 4623617023?
7
What is the millions digit of 115705657?
5
What is the ten thousands digit of 609179144?
7
What is the thousands digit of 4158859697?
9
What is the thousands digit of 137203916?
3
What is the thousands digit of 143228765?
8
What is the millions digit of 8722188?
8
What is the hundred thousands digit of 310609928?
6
What is the tens digit of 1133083442?
4
What is the billions digit of 1487260828?
1
What is the hundred millions digit of 531139840?
5
What is the ten millions digit of 69576371?
6
What is the units digit of 6572091160?
0
What is the ten millions digit of 159910352?
5
What is the ten millions digit of 1996928224?
9
What is the tens digit of 443065256?
5
What is the hundred millions digit of 1056701774?
0
What is the millions digit of 82608926?
2
What is the thousands digit of 774665285?
5
What is the hundred thousands digit of 196350949?
3
What is the hundred thousands digit of 77762185?
7
What is the hundreds digit of 289357120?
1
What is the tens digit of 27027166?
6
What is the ten thousands digit of 4015242011?
4
What is the ten thousands digit of 108417622?
1
What is the hundreds digit of 1082060879?
8
What is the millions digit of 24565333?
4
What is the billions digit of 4028310403?
4
What is the units digit of 12851249?
9
What is the billions digit of 6225742143?
6
What is the ten millions digit of 215983373?
1
What is the units digit of 1505994240?
0
What is the millions digit of 2299075192?
9
What is the ten millions digit of 7664663900?
6
What is the hundred millions digit of 447290717?
4
What is the hundred thousands digit of 37393159?
3
What is the ten thousands digit of 499999743?
9
What is the thousands digit of 5381001?
1
What is the hundreds digit of 349360435?
4
What is the units digit of 647422407?
7
What is the tens digit of 16440552?
5
What is the thousands digit of 12721754?
1
What is the ten millions digit of 518192697?
1
What is the hundreds digit of 563704049?
0
What is the units digit of 116842418?
8
What is the tens digit of 212241382?
8
What is the ten thousands digit of 537002340?
0
What is the hundreds digit of 424684710?
7
What is the billions digit of 1694783802?
1
What is the units digit of 220092?
2
What is the thousands digit of 60243201?
3
What is the ten millions digit of 30175600?
3
What is the ten thousands digit of 468551223?
5
What is the thousands digit of 1162025474?
5
What is the millions digit of 59921849?
9
What is the millions digit of 199518807?
9
What is the hundred thousands digit of 2987439092?
4
What is the units digit of 159130207?
7
What is the hundred thousands digit of 224995476?
9
What is the ten thousands digit of 582229729?
2
What is the thousands digit of 1499089817?
9
What is the units digit of 943311?
1
What is the hundred thousands digit of 38193581?
1
What is the ten thousands digit of 259785911?
8
What is the tens digit of 1274433516?
1
What is the tens digit of 118311422?
2
What is the ten millions digit of 265400121?
6
What is the thousands digit of 29866055?
6
What is the millions digit of 205697211?
5
What is the billions digit of 3509628711?
3
What is the millions digit of 1523457752?
3
What is the hundred thousands digit of 29976702?
9
What is the millions digit of 669143639?
9
What is the hundred millions digit of 250026216?
2
What is the thousands digit of 59317273?
7
What is the hundred thousands digit of 851218306?
2
What is the hundred thousands digit of 4146307467?
3
What is the hundred millions digit of 1046620649?
0
What is the hundred thousands digit of 68200442?
2
What is the hundreds digit of 522962669?
6
What is the hundred thousands digit of 631293584?
2
What is the ten millions digit of 33585852?
3
What is the thousands digit of 27365435?
5
What is the ten millions digit of 664573036?
6
What is the units digit of 7894220073?
3
What is the hundred thousands digit of 1160639704?
6
What is the thousands digit of 790964450?
4
What is the units digit of 1473548206?
6
What is the hundred thousands digit of 1284818884?
8
What is the ten millions digit of 2325339410?
2
What is the ten thousands digit of 12037680?
3
What is the hundred thousands digit of 457545147?
5
What is the units digit of 331985593?
3
What is the tens digit of 199409833?
3
What is the hundred millions digit of 714166401?
7
What is the millions digit of 600216260?
0
What is the millions digit of 1761785250?
1
What is the hundred millions digit of 4626429509?
6
What is the hundred millions digit of 7557084291?
5
What is the hundreds digit of 32458993?
9
What is the hundred thousands digit of 43241757?
2
What is the billions digit of 3279971150?
3
What is the tens digit of 526534197?
9
What is the units digit of 66729193?
3
What is the billions digit of 1505147770?
1
What is the thousands digit of 2974403184?
3
What is the thousands digit of 7351548779?
8
What is the hundred millions digit of 156312214?
1
What is the hundred thousands digit of 291764386?
7
What is the hundreds digit of 57006920?
9
What is the ten millions digit of 37871570?
3
What is the billions digit of 2041443282?
2
What is the units digit of 2270627169?
9
What is the tens digit of 44799271?
7
What is the hundred millions digit of 537629748?
5
What is the ten thousands digit of 113151256?
5
What is the hundreds digit of 275986679?
6
What is the units digit of 15112169?
9
What is the millions digit of 36737666?
6
What is the units digit of 77263035?
5
What is the hundred thousands digit of 12980431?
9
What is the thousands digit of 387917658?
7
What is the ten millions digit of 409529388?
0
What is the tens digit of 66863514?
1
What is the hundreds digit of 932219841?
8
What is the hundred thousands digit of 720417507?
4
What is the tens digit of 671686868?
6
What is the millions digit of 127009687?
7
What is the tens digit of 724010967?
6
What is the thousands digit of 69690225?
0
What is the tens digit of 66919193?
9
What is the thousands digit of 293795944?
5
What is the millions digit of 56559369?
6
What is the hundred thousands digit of 77190669?
1
What is the tens digit of 149951441?
4
What is the ten thousands digit of 47558558?
5
What is the tens digit of 55401390?
9
What is the hundreds digit of 1026822406?
4
What is the tens digit of 155574683?
8
What is the ten millions digit of 1113955262?
1
What is the ten millions digit of 192013470?
9
What is the tens digit of 75761994?
9
What is the ten millions digit of 68886029?
6
What is the hundreds digit of 35467265?
2
What is the ten thousands digit of 343342?
4
What is the ten thousands digit of 2052342740?
4
What is the billions digit of 2460373109?
2
What is the units digit of 1735399463?
3
What is the tens digit of 331338732?
3
What is the ten millions digit of 863270016?
6
What is the ten thousands digit of 21971965?
7
What is the hundred millions digit of 1369788173?
3
What is the millions digit of 84039048?
4
What is the tens digit of 1540 | {
"pile_set_name": "DM Mathematics"
} |
ppose -2*w - w = -m. What is the remainder when 37 is divided by w?
7
Let a be -4 + (2 - (-4 + -1)). Suppose -2*f = a*f - 120. Calculate the remainder when 69 is divided by f.
21
Let b(f) = -f**3 + 11*f**2 - 6*f - 5. Calculate the remainder when b(10) is divided by 9.
8
Let y(l) = -l**2 - 22*l - 34. What is the remainder when y(-13) is divided by 11?
6
Suppose -4*k = -2*u - 72, 4*k - 21*u + 18*u - 74 = 0. What is the remainder when 27 is divided by k?
10
Suppose -3*w - 12 = 0, 0*w - 4*w + 59 = 5*f. Suppose -10 = -2*b, 3*b = -q + 16 + 15. Suppose 14*n - q*n = -116. Calculate the remainder when n is divided by f.
13
Suppose -10*p + 9*p + 237 = 0. Calculate the remainder when p is divided by 22.
17
Suppose 4*v - 66 = -2*v. What is the remainder when 70 is divided by -2 + (v - (-1 - 2))?
10
Suppose 10*u = 6*u + 20. Suppose 4*w + n - 371 + 40 = 0, 2*n = 3*w - 262. Suppose u*l + 4 = w. What is the remainder when l is divided by 6?
4
Let l = 28 + 71. Suppose 3*y + 12 = l. What is the remainder when 143 is divided by y?
27
Let x be 2/(1/(12/6)). Let n(y) = -y**2 + 7*y - 4. What is the remainder when 70 is divided by n(x)?
6
Let u(k) = -k**2 + 8*k - 2. Let a be u(5). Let o(r) = -r**3 + 12*r**2 + 12*r + 16. What is the remainder when o(a) is divided by 1?
0
Suppose -10*i + 7*i + 12 = 0. Suppose i = -3*n - 98. Let w = -19 - n. What is the remainder when 58 is divided by w?
13
Suppose 4*z - 2*z = 70. Suppose -3*k + 417 = -3*p, -4*k - 4*p + 486 + 62 = 0. What is the remainder when k is divided by z?
33
Suppose 0 = -7*i - 9*i + 224. Calculate the remainder when i is divided by 4.
2
Suppose -33*g + 848 = -373. Calculate the remainder when 92 is divided by g.
18
Let v(m) = -m**3 + 3*m**2 + 7*m + 9. Let j(o) = -o**3 + 4*o**2 + 8*o + 10. Let w(z) = -5*j(z) + 6*v(z). Calculate the remainder when 26 is divided by w(-3).
5
Let f(j) = j**2 - 2*j + 6. Let d(w) = w**3 + 6*w**2 + 7*w + 4. Let l be d(-5). Calculate the remainder when f(5) is divided by l/(-5)*40/6.
5
What is the remainder when 187 is divided by 6/(-33) + (-20102)/(-209)?
91
Let l = 2322 - 2194. Calculate the remainder when 2814 is divided by l.
126
Suppose 29 = -5*x + 124. Let i = x - 10. What is the remainder when i is divided by 7?
2
Calculate the remainder when (-30 + 31)/((-2)/(-94)) is divided by 16.
15
Let y = -3 + 5. Suppose 875*r - 408 = 444*r + 414*r. What is the remainder when r is divided by y?
0
Let j be (0/(-1 + 4))/(-2). Suppose 0 = -3*p - 4*u + 54, j = -5*p - u - 4*u + 90. Calculate the remainder when 69 is divided by p.
15
Let p(b) = -b**2 + 18*b - 17. Let y be p(17). Suppose v - 2 - 61 = y. What is the remainder when v is divided by 33?
30
Let h(m) = -2*m**2 + 23*m. Let u(c) = 6*c**2 - 68*c. Let z(s) = -11*h(s) - 4*u(s). What is the remainder when 89 is divided by z(8)?
17
Suppose -3*y = 2*r - 75, 4*r + 2*y - 4*y = 174. Calculate the remainder when 459 is divided by r.
39
Let g(i) = -i**2 - 5*i + 8. Let x be g(-6). What is the remainder when ((-152)/6)/(4 - (-42)/(-9)) is divided by (x/6)/(1/39)?
12
Let c(v) = -8*v + 124. Calculate the remainder when 34 is divided by c(13).
14
Let z = -3 - -13. What is the remainder when 16/(-4) + -2 - (-34)/2 is divided by z?
1
Let q(w) = 7*w + 35. Let r be q(-9). Let z = 30 + r. What is the remainder when 9 is divided by z?
1
What is the remainder when 28 is divided by 21*((-1)/(-12))/(1/4)?
0
What is the remainder when 24 is divided by (900/(-250))/(7/(-5) - -1)?
6
Let n(x) = -x**2 + 14*x + 142. Calculate the remainder when n(19) is divided by 9.
2
Let t(y) = 3*y**2 + 16*y - 2. Let g be t(-9). Suppose -4*a - 5*h = -g + 256, -160 = 4*a + 4*h. Let j = a - -63. What is the remainder when j is divided by 12?
10
Let s(u) = 4*u + 6. Let b be s(-1). What is the remainder when ((-1)/b)/((-6)/792) is divided by 34?
32
Suppose -12*i = -17*i. Suppose i*n - 2*f - 14 = -2*n, 0 = -3*f + 6. Calculate the remainder when (-1)/((-3)/39) + 2 is divided by n.
6
Let w(k) = -6*k - 6. Suppose 21 + 19 = -5*o. Let x be w(o). Let i = -28 + x. Calculate the remainder when 54 is divided by i.
12
Suppose 84 = 10*l - 16. Calculate the remainder when 39 is divided by l.
9
Let s = 89 + -61. Suppose 26*t = s*t - 26. Calculate the remainder when t is divided by 3.
1
Suppose -105*r + 100*r + 3224 = 2*s, -3*s = 3*r - 4845. Calculate the remainder when s is divided by 10.
7
Suppose -2 = 4*z - 3*z. Let n(v) = -v + 1. Suppose 35 + 136 = 19*d. Calculate the remainder when d is divided by n(z).
0
Let g be (((-4)/(-3))/(-2))/((-2)/15). Suppose -g*t - 3*c = -126, -2*t - 2*t + 100 = 2*c. What is the remainder when 68 is divided by t?
20
Suppose -u + 13 = 4*h - 18, u + 41 = 5*h. Let w = 0 + h. Let y = 16 - w. What is the remainder when 15 is divided by y?
7
Let b = -77 + 6. Let l = b - -100. What is the remainder when l is divided by 8 + (-15)/((-60)/32)?
13
Let o(s) = -3*s - 8. Let z be 7/2*4/7. Suppose 7 + z = 3*i. Calculate the remainder when o(-6) is divided by i.
1
Suppose -130*i - 22 = -131*i. What is the remainder when 80 is divided by i?
14
Let l be (9/9)/(2/(-70)). What is the remainder when 40 is divided by (96/80)/((-2)/l)?
19
Let r = 89 - 45. Calculate the remainder when 250 is divided by r.
30
Let p(z) = 3*z**2 + 18*z + 67. What is the remainder when 465 is divided by p(-5)?
49
Suppose 2*u + 6*q = 3*q + 171, 3*q = -9. Let z(i) = -i**2 + 16*i - 9. Calculate the remainder when u is divided by z(11).
44
Suppose 0*c + 4*c + 4*n + 124 = 0, c - n + 39 = 0. What is the remainder when 0 + 10/c + (-1152)/(-14) is divided by 21?
19
Let m = -5 - -15. Suppose 2*a + 28 + 30 = 2*z, 44 = 2*z + 5*a. What is the remainder when z is divided by m?
7
Let b(s) = s**3 + 3*s**2 + 25. What is the remainder when 2600 is divided by b(-4)?
8
Let k(a) = a**3 + 3*a**2 - a + 1. Let s be k(-3). Suppose 3*y + 3*p + 1 = 28, s*p = 20. What is the remainder when (4 + 105/(-10))*-2 is divided by y?
1
Suppose -698 = 54*j - 4532. What is the remainder when j is divided by 4?
3
Calculate the remainder when (-5)/(40/(-6966)) + (-22)/(-88) is divided by 109.
108
Let o(w) = -29*w**3 - w**2 - w - 1. Let q be o(-1). Suppose -2*u + q = 3*l, 4*l + 4*u - 7*u = 60. Calculate the remainder when l is divided by 5.
2
Let u be (7 - 2) + (1 - 2). Suppose -2*f + 99 = v, u*v + 3*f = 4*f + 432. Calculate the remainder when v is divided by 6.
5
Suppose 11*m = -0*m + 33. Suppose m*h = 7*h - 60. Let z(i) = 6*i - 2. Calculate the remainder when z(5) is divided by h.
13
Let l(s) = -507*s**3 - 4*s**2 + 2. What is the remainder when l(-1) is divided by 34?
29
Let u = 454 - 442. Calculate the remainder when 443 is divided by u.
11
What is the remainder when (-1 - (3 - 12))*16 is divided by 19?
14
Let w = 975 + -942. Calculate the remainder when w is divided by 8.
1
Let t(f) = 2*f**2 + 4*f - 9. Let c(m) = m**3 + 3*m**2 - 2*m - 2. Let z be c(-4). What is the remainder when t(z) is divided by 31?
27
Let g(k) = -11*k - 44. What is the remainder when g(-11) is divided by 20?
17
Suppose -33*m + 13109 + 7285 = 0. Calculate the remainder when m is divided by 10.
8
Suppose w - 5*a = 4 - 1, 0 = 2*w - 2*a - 14. Let y = 11 - w. Suppose 2*r + 54 = c + 2*c, 3*r - 39 = -y*c. Calculate the remainder when c is divided by 6.
4
Let u be -8 + (-3 - (-5 + 4)). Let v(i) = -i**3 - 10*i**2 - 3*i - 13. Calculate the remainder when v(u) is divided by 11.
6
Suppose -z + x = -7, 0 = 4*z + x - 6*x - 29. Suppose -5*f + 20 = d, 2*f - z*f = -5*d + 129. What is the remainder when 73 is divided by d?
23
Let b = 57 - 14. Suppose -b = -3*a + 4*g, -20 = -5*a + 5*g + 45. What is the remainder when 32 is divided by a?
5
Let q = -378 - -389. Let m = 156 - 105. Calculate the remainder when m is divided by q.
7
What is the remainder when ((-1863)/(-828))/(2 - 135/68) is divided by 111?
42
Suppose 27*c = 1066 - 364. Suppose 5*l = -0*b + 3*b + 48, 5*l - 5*b = 50. What is the remainder when c is divided by l?
8
Calculate the remainder when (-12 - -14)*(21/2 - -2) is divided by 4.
1
Let c(a) = -89*a**3 - 2*a**2 - a. Suppose -3*y = -4 + 7. Calculate the remainder when c(y) is divided by 23.
19
Let j(v) = v**2 + 14*v + 42. Suppose -4*m = -8 + 60. Suppose u - 14 = -6. What is the remainder when j(m) is divided by u?
5
Calculate the remainder when ((-178)/(-6))/((-4)/(-48)*4) is divided | {
"pile_set_name": "DM Mathematics"
} |
remainder when 101577993 is divided by 40?
33
What is the remainder when 178636 is divided by 307?
269
Calculate the remainder when 101359 is divided by 72.
55
What is the remainder when 5642915 is divided by 769?
762
What is the remainder when 641769 is divided by 213913?
30
What is the remainder when 3147719 is divided by 1049140?
299
What is the remainder when 207366547 is divided by 10188?
10183
What is the remainder when 27709934 is divided by 957?
956
Calculate the remainder when 29952880 is divided by 432.
160
What is the remainder when 182058 is divided by 60638?
144
Calculate the remainder when 250927 is divided by 83392.
751
What is the remainder when 41605705 is divided by 39?
37
What is the remainder when 62690 is divided by 28969?
4752
Calculate the remainder when 15986203 is divided by 828.
7
Calculate the remainder when 55374 is divided by 17875.
1749
What is the remainder when 354700 is divided by 1443?
1165
What is the remainder when 21350983 is divided by 4463?
4454
Calculate the remainder when 552278 is divided by 106.
18
Calculate the remainder when 3646728 is divided by 25.
3
What is the remainder when 967461 is divided by 360?
141
Calculate the remainder when 286033 is divided by 1572.
1501
Calculate the remainder when 29381256 is divided by 4197322.
2
Calculate the remainder when 151614 is divided by 75742.
130
Calculate the remainder when 11056743 is divided by 1726.
1713
What is the remainder when 142726 is divided by 1807?
1780
Calculate the remainder when 5099 is divided by 536.
275
Calculate the remainder when 24891433 is divided by 1914722.
47
What is the remainder when 1496276 is divided by 62344?
20
Calculate the remainder when 156749 is divided by 77770.
1209
What is the remainder when 39951 is divided by 3424?
2287
Calculate the remainder when 4690910 is divided by 104242.
20
What is the remainder when 40690 is divided by 32559?
8131
What is the remainder when 37419 is divided by 1798?
1459
Calculate the remainder when 499946 is divided by 70.
6
What is the remainder when 462834 is divided by 582?
144
What is the remainder when 247371 is divided by 1649?
21
What is the remainder when 638290435 is divided by 2942?
2941
Calculate the remainder when 582238 is divided by 4345.
8
Calculate the remainder when 1181 is divided by 55.
26
Calculate the remainder when 14771003 is divided by 532.
23
What is the remainder when 86613 is divided by 2544?
117
Calculate the remainder when 886387 is divided by 110612.
1491
What is the remainder when 100835285 is divided by 560196?
5
Calculate the remainder when 507008 is divided by 25259.
1828
What is the remainder when 4221857 is divided by 1407168?
353
Calculate the remainder when 115870 is divided by 28911.
226
Calculate the remainder when 16148201 is divided by 30.
11
What is the remainder when 1049033 is divided by 3485?
48
What is the remainder when 506346 is divided by 253103?
140
What is the remainder when 241470 is divided by 268?
2
What is the remainder when 2925275 is divided by 60?
35
What is the remainder when 320430618 is divided by 3011?
3009
What is the remainder when 54301041 is divided by 27150464?
113
What is the remainder when 9768835 is divided by 49?
48
Calculate the remainder when 1052832 is divided by 149.
147
What is the remainder when 19531 is divided by 906?
505
Calculate the remainder when 98629630 is divided by 4.
2
Calculate the remainder when 1871034 is divided by 187101.
24
Calculate the remainder when 243371697 is divided by 2379.
2376
Calculate the remainder when 2340846 is divided by 130043.
72
What is the remainder when 952514 is divided by 750?
14
What is the remainder when 101228 is divided by 739?
724
What is the remainder when 716999 is divided by 418?
129
Calculate the remainder when 1591566 is divided by 543.
33
Calculate the remainder when 251198 is divided by 251178.
20
What is the remainder when 195250 is divided by 6969?
118
Calculate the remainder when 4043206 is divided by 33139.
248
What is the remainder when 18022000 is divided by 8509?
8447
What is the remainder when 17191927 is divided by 1082?
29
Calculate the remainder when 122193 is divided by 1474.
1325
What is the remainder when 12684 is divided by 1404?
48
What is the remainder when 436899 is divided by 72803?
81
Calculate the remainder when 61277833 is divided by 2955.
2953
What is the remainder when 10829868 is divided by 2055?
18
What is the remainder when 1832366772 is divided by 1101?
1098
Calculate the remainder when 29008 is divided by 4695.
838
Calculate the remainder when 2779204 is divided by 379.
376
Calculate the remainder when 9429 is divided by 1544.
165
What is the remainder when 22358468 is divided by 37?
34
What is the remainder when 1667482 is divided by 160?
122
Calculate the remainder when 72374215 is divided by 148.
143
What is the remainder when 173650 is divided by 173563?
87
What is the remainder when 802195 is divided by 266473?
2776
What is the remainder when 290920 is divided by 1293?
1288
Calculate the remainder when 739201 is divided by 351.
346
Calculate the remainder when 7959602 is divided by 456.
122
Calculate the remainder when 18057571 is divided by 71.
70
Calculate the remainder when 980471 is divided by 392.
79
Calculate the remainder when 21795 is divided by 6758.
1521
Calculate the remainder when 2173457 is divided by 213.
5
What is the remainder when 19852113 is divided by 2128?
1
Calculate the remainder when 24228105 is divided by 50.
5
What is the remainder when 11397 is divided by 3786?
39
Calculate the remainder when 2887797 is divided by 14885.
107
Calculate the remainder when 9566369 is divided by 594.
593
What is the remainder when 424194 is divided by 1478?
8
Calculate the remainder when 26624712 is divided by 13312334.
44
Calculate the remainder when 53389 is divided by 8460.
2629
What is the remainder when 96382079 is divided by 5760?
5759
What is the remainder when 354317908 is divided by 29?
26
What is the remainder when 2469334 is divided by 1234644?
46
Calculate the remainder when 1304338 is divided by 188.
182
What is the remainder when 8867846 is divided by 2216961?
2
Calculate the remainder when 208974 is divided by 151.
141
Calculate the remainder when 16564617 is divided by 8282206.
205
What is the remainder when 106377 is divided by 34278?
3543
Calculate the remainder when 426145 is divided by 30438.
13
What is the remainder when 138005 is divided by 1270?
845
What is the remainder when 3029699 is divided by 73895?
4
What is the remainder when 86093 is divided by 1493?
992
Calculate the remainder when 34063 is divided by 14149.
5765
Calculate the remainder when 18322859 is divided by 15.
14
Calculate the remainder when 10524586 is divided by 8691.
8476
Calculate the remainder when 190788 is divided by 148.
16
What is the remainder when 695293 is divided by 963?
7
Calculate the remainder when 1145622 is divided by 2178.
2172
Calculate the remainder when 2116646 is divided by 140.
126
Calculate the remainder when 1048975 is divided by 209783.
60
Calculate the remainder when 59429 is divided by 3236.
1181
Calculate the remainder when 18721 is divided by 1246.
31
What is the remainder when 376343 is divided by 93281?
3219
Calculate the remainder when 10754077 is divided by 4049.
3982
Calculate the remainder when 420471 is divided by 2564.
2539
Calculate the remainder when 15201489 is divided by 112.
65
Calculate the remainder when 485953 is divided by 2809.
2805
Calculate the remainder when 44476 is divided by 10944.
700
What is the remainder when 3102413 is divided by 468?
41
Calculate the remainder when 169594 is divided by 56411.
361
Calculate the remainder when 1704575 is divided by 284065.
185
Calculate the remainder when 2989385 is divided by 10905.
1415
Calculate the remainder when 2958298 is divided by 493049.
4
Calculate the remainder when 92008 is divided by 2729.
1951
Calculate the remainder when 7466835 is divided by 519.
501
Calculate the remainder when 1514310 is divided by 757135.
40
Calculate the remainder when 2085930 is divided by 6601.
14
What is the remainder when 3820632 is divided by 13220?
52
Calculate the remainder when 12908070 is divided by 1079.
1072
What is the remainder when 11119689 | {
"pile_set_name": "DM Mathematics"
} |
Which is the fifth smallest value? (a) -1/2 (b) -2/1853 (c) -0.6 (d) 29 (e) 0.3
d
Which is the seventh biggest value? (a) 16/5 (b) -3/14 (c) -8 (d) -1 (e) 0.29 (f) 1 (g) 11
c
Which is the third biggest value? (a) 0.1 (b) 0.4 (c) -317/2 (d) 1 (e) -4
a
Which is the third biggest value? (a) 0.13 (b) 4 (c) -2/3 (d) -25 (e) -3 (f) 4.9
a
What is the second smallest value in -5, -0.3, -0.1334, -0.1, 62300?
-0.3
Which is the smallest value? (a) 0.3 (b) -1/3 (c) 0.1 (d) -0.2 (e) 1/3 (f) 2/9 (g) 7/6
b
Which is the smallest value? (a) -5 (b) -8995938 (c) 1/2
b
Which is the second smallest value? (a) 40.923 (b) -2 (c) -0.073
c
Which is the biggest value? (a) 0.2 (b) 1.5 (c) -4 (d) -10868 (e) -0.4
b
What is the sixth smallest value in 5, 18, 14, -136.3, -0.02, -5?
18
What is the third biggest value in 2, 0, -0.5, 703/113, 5?
2
Which is the fourth biggest value? (a) 31 (b) -5 (c) 0.8 (d) -317 (e) 4/17
b
What is the third smallest value in 0, 0.1, -493.71554?
0.1
What is the biggest value in 5672632, -9, 0.2?
5672632
What is the smallest value in 1/24, -1/23, 1.1, -57, -4?
-57
What is the second smallest value in -29, -2.59, -2/95, 0.4?
-2.59
Which is the smallest value? (a) -5 (b) -3/7 (c) -6 (d) 26082 (e) -2
c
Which is the fourth smallest value? (a) -49/3 (b) 4 (c) 2 (d) -25 (e) -105
c
Which is the second smallest value? (a) -5 (b) 37.1 (c) -0.01 (d) -1/3
d
What is the biggest value in 13, -5, 0, -43.0937?
13
Which is the third biggest value? (a) -1.02093 (b) 3 (c) -4 (d) 1/7 (e) -36 (f) -5 (g) 5
d
Which is the fourth smallest value? (a) -69 (b) -5 (c) 1/5 (d) -39/17 (e) -4
d
What is the biggest value in -1/5, -2/7, -4, 5/4, -13/7, 0.058, 0.1?
5/4
Which is the second smallest value? (a) 7/9 (b) 11 (c) 70623
b
Which is the biggest value? (a) 0.4 (b) -2142 (c) -5 (d) 3 (e) -3 (f) 0.07 (g) 2/11
d
What is the second smallest value in -0.03, -0.5, -0.06, 7/37?
-0.06
Which is the second smallest value? (a) 15626/3 (b) -4/7 (c) 0.5 (d) 33 (e) -1
b
Which is the smallest value? (a) 5 (b) 3/5 (c) -100/3 (d) 27
c
What is the fourth smallest value in -1/6, 3, -10, -3/13, 95/3?
3
Which is the second smallest value? (a) 49426 (b) 66 (c) 13 (d) 2/11
c
Which is the second biggest value? (a) -17 (b) 0.2 (c) -4 (d) 0.12 (e) 8 (f) -0.5 (g) 3
g
Which is the second biggest value? (a) -1564438.2 (b) 1 (c) -5 (d) 1/2
d
Which is the fifth smallest value? (a) 3 (b) -0.099 (c) -0.007 (d) 0.2 (e) 0.3 (f) 13 (g) -2/13
e
Which is the biggest value? (a) -10.6 (b) -151769 (c) -5
c
Which is the fifth biggest value? (a) 109 (b) -3 (c) 0.3 (d) -1/3 (e) 1 (f) -19691
b
Which is the smallest value? (a) 1 (b) -0.2 (c) -2/7 (d) 10 (e) 14/27 (f) -2/5 (g) -2/13
f
What is the third smallest value in -3/74, -2, -18, 1/4, -0.2, 33/10?
-0.2
Which is the third smallest value? (a) -2/5247 (b) -2 (c) 2.42
c
What is the biggest value in 4325, -20/21, -0.1?
4325
What is the seventh biggest value in -2/5, 0.5, 12/17, -2/11, -2/79, -1/6, 0.3?
-2/5
Which is the biggest value? (a) -583.29 (b) -362 (c) -3
c
What is the third smallest value in 0.3, -3, -1, -199/31?
-1
Which is the third biggest value? (a) -5929 (b) 28/39 (c) 3/4 (d) 3
b
Which is the fifth smallest value? (a) -24 (b) -0.2 (c) -3/4 (d) -3 (e) -0.5 (f) -594
e
Which is the third biggest value? (a) 1/18 (b) 109 (c) 2 (d) -4 (e) 5 (f) 0.2
c
Which is the third smallest value? (a) -2/7 (b) 2/23 (c) 1/11 (d) -1.85 (e) 3
b
What is the biggest value in -0.1, -60, 1.9, -30, 0.4?
1.9
Which is the second smallest value? (a) 7/8 (b) 4 (c) 1/2 (d) -8 (e) 208 (f) 2/27
f
What is the smallest value in -5, 3, 18, 1335.465, 4?
-5
What is the fourth smallest value in -253, -1156, -2/19, 1?
1
Which is the fourth biggest value? (a) 3/5 (b) -22614 (c) 86 (d) 1 (e) 6/11
e
What is the smallest value in 3, 2, -0.0032, 346?
-0.0032
What is the third smallest value in 17/56, -2, 0.179, 0?
0.179
What is the smallest value in -14/11, -5, -2.08044?
-5
Which is the fourth biggest value? (a) 0.4 (b) -9/7 (c) -7.8 (d) -0.87 (e) 0.5
b
What is the fourth smallest value in -92, 2, 10, 0.4, 12, -12?
2
What is the fourth smallest value in 377860, 4, 4/3, 2?
377860
Which is the second smallest value? (a) 2.2 (b) -25 (c) -0.1 (d) 73.9
c
What is the fifth smallest value in -1/3, 0.3, -4/5, -19, -6/2597?
0.3
Which is the third biggest value? (a) 0.03 (b) 0 (c) 1.1 (d) 2/7 (e) 133 (f) -0.5 (g) 53/5
c
Which is the third biggest value? (a) 1.68 (b) -1/79 (c) -2/65 (d) -1/4 (e) -1
c
What is the smallest value in 2/7, -5, -2480/1869, 19?
-5
Which is the third smallest value? (a) 0.01 (b) 0.006 (c) -0.6 (d) -0.045 (e) 3
b
What is the biggest value in -0.5, -0.25, 29315.2, 2/5?
29315.2
Which is the seventh smallest value? (a) 5 (b) 2/3 (c) 1 (d) -4 (e) 0.5 (f) 54.1 (g) 2/9
f
What is the second biggest value in -2/7, -21/10, 61/228?
-2/7
What is the smallest value in -124, 5, -3, 0.1, -191?
-191
What is the second smallest value in -203, 3512/343, 1?
1
What is the third smallest value in 0.08, -4, -38, 4, 5, 336?
0.08
Which is the smallest value? (a) 4286030 (b) -2 (c) 0 (d) -2/19
b
What is the smallest value in 81, -0.2, 25583?
-0.2
Which is the fifth smallest value? (a) -0.2 (b) 0.2 (c) -2.3 (d) -1/8 (e) -186 (f) -1 (g) -0.16
g
Which is the fifth smallest value? (a) 29 (b) 0.15 (c) -0.2 (d) 0.1 (e) 8.8
a
What is the third biggest value in -1/18, -5, -0.1, 0.36481, -3?
-0.1
Which is the smallest value? (a) -0.5 (b) 0.6 (c) 547 (d) 5.42
a
Which is the smallest value? (a) 16 (b) 10 (c) -1.4 (d) 0.3 (e) 19
c
What is the second smallest value in 1, 4, -0.4, 6757, -3/2, 0.2, -0.3?
-0.4
What is the second biggest value in -3.826, -46, 8, -0.14?
-0.14
Which is the fifth smallest value? (a) -4 (b) 4 (c) 0.043911 (d) 5 (e) -52
d
What is the biggest value in 113, 0.04, -2/87, -0.3?
113
Which is the second biggest value? (a) -1.62189 (b) 0.3 (c) 3/98
c
What is the fifth biggest value in -6, 258, -1550, -3, 3, -0.05?
-6
Which is the fifth biggest value? (a) 594 (b) -8 (c) 6 (d) -2/5 (e) -0.5 (f) 1/8
e
Which is the smallest value? (a) 5 (b) 2.77 (c) -80643 (d) 2/9 (e) -0.3
c
Which is the third smallest value? (a) 3 (b) -2 (c) 1 (d) 3/7 (e) -260115/2 (f) -4
b
What is the third biggest value in 2911, -2, 1.66, -0.4, 2/7, 2/5?
2/5
What is the second biggest value in 1.86, 0, -0.2, -3165, 1?
1
What is the third biggest value in -0.01, 301, 2471/6, 3/5?
3/5
Which is the fourth biggest value? (a) -2 (b) 291 (c) -10/11 (d) 0.5
a
Which is the third smallest value? (a) 1/4 (b) -113 (c) 1849/6
c
What is the smallest value in 1/2, -1/2, -5.2, 0.11, -5, 1, -11?
-11
What is the fourth smallest value in 4, -7716, -2/5, 5/2, 0.21?
5/2
What is the seventh smallest value in -1, -0.5, 47.6, -18, 1/3, 0.11, -1/8?
47.6
What is the smallest value in 0.5, 4, -97986, -0.4?
-97986
Which is the fifth smallest value? (a) -3 (b) -1 (c) 24.6 (d) 2/7 (e) 267
e
Which is the biggest value? (a) -0.7 (b) -9 (c) -2 (d) -2967
a
What is the fourth biggest value in 5, -177/11, -12/5, -0.4, -0.5, 0.5?
-0.5
What is the fourth biggest value in 2, -65, -0.4, -2/7, 2/5, 0, -1076?
-2/7
What is the biggest value in -2/73, -8/25, -2, 2/5, -0.3?
2/5
What is the third smallest value in 0.5, 1/5, -3, -12, -2/79, -40?
-3
What is the third biggest value in 5, 11, -3/2, 0.1, 139, 4, -32?
5
Which is the seventh smallest value? (a) -2/11 (b) 0.2 (c) -4 (d) -0.4 (e) 2 (f) -0.029751 (g) 0.22
e
What is the second biggest value in 0.043693, 297/7, -0.4?
0.043693
What is the smallest value in -6333, 1, 2/11, -3, -0.2, 7?
-6333
What is the sixth smallest value in -0.7, 4/3, -0.06, 246, -10, 3?
246
Which is the third smallest value? (a) 0.2 (b) 2/29 (c) -81 (d) -8
b
Which is the smallest value? (a) -0.3 (b) -12482 (c) -10 (d) -3 (e) -1
b
What is the fifth smallest value in -2/7, 766/3, -3, 5, -2/19, -4/5, -4?
-2/19
What is the second biggest value in 2/17, 14, 1/269, -2/9?
2/17
What is the third smallest value in 0, 5, 2, -1/3, -89, -281?
-1/3
What is the third smallest value in -2, 1, | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of -o**5/420 + o**4/84 - o**3/42 - 3*o**2. Factor t(z).
-(z - 1)**2/7
Find g, given that 2/3*g**3 + 0*g**2 + 0 + 2/3*g**5 + 0*g + 4/3*g**4 = 0.
-1, 0
Let l(t) be the third derivative of t**10/120960 - t**8/26880 - t**4/24 + 4*t**2. Let g(y) be the second derivative of l(y). Factor g(s).
s**3*(s - 1)*(s + 1)/4
Let h(b) be the second derivative of b**6/60 + b**5/15 - b**2/2 + 2*b. Let k(m) be the first derivative of h(m). Factor k(j).
2*j**2*(j + 2)
Let m(t) = t**2 - 4*t - 9. Let w(j) = 4*j**2 - 11*j - 27. Let u be 4/(-2) - (-2 + 7). Let n(r) = u*m(r) + 2*w(r). Factor n(i).
(i + 3)**2
Let l(c) = -c + 5. Let d be l(3). Let -d*h - 8*h**3 - 6*h**2 + 10*h - 2*h**4 + 1 + 7 = 0. Calculate h.
-2, -1, 1
Let q(g) be the second derivative of 0 - 4/5*g**2 + 1/30*g**4 + 0*g**3 - g. Find b, given that q(b) = 0.
-2, 2
Let y(h) be the first derivative of 1/24*h**6 - 3/16*h**4 + 1/4*h**2 - 1/20*h**5 + 1/12*h**3 + 0*h - 5. Solve y(w) = 0 for w.
-1, 0, 1, 2
What is r in -4*r**2 - 9*r**2 + 20*r**2 - 2*r**3 - 11*r**2 - 2*r = 0?
-1, 0
Let k be (-46)/(-120) - 24/180. Suppose 1/4*a**2 + 0*a + 0 - k*a**3 = 0. Calculate a.
0, 1
Suppose 2*v - 220 = 7*v. Let i(u) = -u**2 - 3*u + 3. Let n(x) = -8*x**2 - 22*x + 22. Let z(m) = v*i(m) + 6*n(m). Factor z(a).
-4*a**2
Let m(c) be the third derivative of c**6/225 - c**5/75 + c**4/60 - c**3/6 - 6*c**2. Let s(z) be the first derivative of m(z). Factor s(u).
2*(2*u - 1)**2/5
Suppose -3*m - 4 = -5*m. Factor -3*a**3 - 4*a**m + a**2 - 6*a - 2*a**2 - 4*a**2.
-3*a*(a + 1)*(a + 2)
Let x(s) be the third derivative of s**7/560 + s**6/120 - s**5/80 - s**4/8 + s**3/3 + 6*s**2. Let b(w) be the first derivative of x(w). Factor b(m).
3*(m - 1)*(m + 1)*(m + 2)/2
Let x(u) = 25*u**2 + 28*u + 13. Let b(y) = 37*y**2 + 42*y + 19. Let o(s) = -5*b(s) + 7*x(s). Factor o(j).
-2*(j + 1)*(5*j + 2)
Find f, given that -3*f + 1/2 + 53/8*f**2 - 55/8*f**3 + 27/8*f**4 - 5/8*f**5 = 0.
2/5, 1, 2
Factor -d**2 + 8/5*d + 1/5*d**3 - 4/5.
(d - 2)**2*(d - 1)/5
Suppose -4*s - 4 = -6*s. Factor 24*q - 12*q**3 - s*q**3 - 10 + 18 - 14*q**2 - 4*q**2.
-2*(q - 1)*(q + 2)*(7*q + 2)
Let m(j) be the second derivative of -j**5/140 + j**4/28 + j**3/42 - 3*j**2/14 - 6*j. Suppose m(q) = 0. Calculate q.
-1, 1, 3
Let t(y) be the third derivative of y**8/1008 + y**7/315 - y**6/180 - 2*y**5/45 - 7*y**4/72 - y**3/9 + 4*y**2. Factor t(w).
(w - 2)*(w + 1)**4/3
Suppose 0*s + s - 4*s = 0. Let x(m) be the second derivative of s + 1/40*m**6 + 3/40*m**5 - 3/8*m**2 - 3*m - 1/4*m**3 + 0*m**4. Factor x(y).
3*(y - 1)*(y + 1)**3/4
Suppose u - 2*u + 2 = 0, 5*s = -2*u + 284. Suppose 4*p - 3*z = 24, 5*p - 5*z + 21 = s. Factor -2*w - 3*w**2 - 3*w**p - 2*w**4 + w + w**4 + 0*w**4.
-w*(w + 1)**3
Let u(j) be the first derivative of 1/13*j**2 - 7 - 4/13*j + 2/39*j**3. Factor u(o).
2*(o - 1)*(o + 2)/13
Let m(z) = -39*z**3 + 13*z**2 + 44*z - 3. Let p(i) = 59*i**3 - 19*i**2 - 66*i + 5. Let s(g) = -7*m(g) - 5*p(g). Factor s(q).
-2*(q - 1)*(q + 1)*(11*q - 2)
Let -4/9 + 34/9*v**2 + 2*v + 4/3*v**3 = 0. What is v?
-2, -1, 1/6
Let z(p) be the first derivative of p**5/80 + p**4/24 - 3*p - 1. Let g(f) be the first derivative of z(f). Factor g(q).
q**2*(q + 2)/4
Let n = 44 - 41. Let i(a) be the second derivative of 1/6*a**4 - 1/10*a**5 + 0 + 0*a**2 + 0*a**n - 3*a. Factor i(s).
-2*s**2*(s - 1)
Suppose 4*b - 2 + 38 = -3*l, 3*l + 30 = -2*b. Let o be (-8)/(-5) - l/20. Solve w + 1 + 2*w + w**3 + 3*w**o + w - w = 0.
-1
Let s(m) = m - 5. Let j be s(3). Let p be (j + 1)*1 - -1. Factor p*k - 2/5 + 2/5*k**2.
2*(k - 1)*(k + 1)/5
Let p(s) = 8*s**2 + 11*s - 29. Let l(d) = -4*d**2 - 5*d + 15. Let w(x) = 5*l(x) + 3*p(x). Let w(z) = 0. Calculate z.
-3, 1
Let j(s) be the third derivative of -s**9/756 + s**7/70 - s**6/45 - 7*s**3/6 - s**2. Let f(u) be the first derivative of j(u). Solve f(y) = 0.
-2, 0, 1
Suppose k + 0*k - 1 = 0. Let u = 1 + k. Factor 6*w**2 - w**3 - 4*w**u + 2*w**3 - 2*w**4 - w.
-w*(w - 1)*(w + 1)*(2*w - 1)
Let n(s) be the first derivative of s**5/5 - 7*s**4/12 + s**3/3 + s**2/2 + 4*s + 4. Let o(b) be the first derivative of n(b). What is f in o(f) = 0?
-1/4, 1
Let d(k) be the second derivative of -1/18*k**6 + 1/6*k**5 + 1/126*k**7 - 1/6*k**2 + 5/18*k**3 + k - 5/18*k**4 + 0. Factor d(r).
(r - 1)**5/3
Let y = 2/179 + 344/1253. Factor -2/7*b**2 + 0*b + y.
-2*(b - 1)*(b + 1)/7
Solve -10*u**4 + 2*u**5 - 17*u**4 - 24*u**3 - 6*u + 27*u**2 + 19*u**5 + 9*u**3 = 0.
-1, 0, 2/7, 1
Let p(t) be the first derivative of -t**4/10 + 4*t**3/5 - 9*t**2/5 + 56. Solve p(l) = 0 for l.
0, 3
Let j be (650/(-120))/13 + 4/6. Suppose -2*y = -x - 0*y, y = -2*x + 5. Solve -1/4*o + 1/2*o**x - j = 0 for o.
-1/2, 1
Let p be ((-7)/84)/((4/(-3))/4). Factor 1/4*g**2 - 1/4*g**4 + p*g - 1/4*g**3 + 0.
-g*(g - 1)*(g + 1)**2/4
Let a(g) be the third derivative of -g**5/15 + 4*g**4/3 - 8*g**3 + 11*g**2 - g. Suppose a(l) = 0. What is l?
2, 6
Let t = -4 - -16. Let y(r) = r - 9. Let m be y(t). Find s, given that -4 - m + 3*s**2 + 4 = 0.
-1, 1
Let q(n) = -n + 1 + 2*n**2 + n**2 - 4*n**2. Let c be q(0). Suppose -w + 15*w**2 + 10*w - c + 3 + 3*w**4 + 11*w**3 = 0. What is w?
-1, -2/3
What is r in 1/2 + 11/4*r - 9/4*r**4 - 11/4*r**3 + 7/4*r**2 = 0?
-1, -2/9, 1
Let n = -457 - -9599/21. Let t(g) be the first derivative of -n*g**3 - 1/7*g**2 - 2 + 4/7*g. Let t(k) = 0. What is k?
-2, 1
Suppose -2*j + 3*j - 6 = 0. Let s = j + -1. Factor -10*h**4 + 2*h**3 + h**s + 5*h**5 + 0*h**4 + 2*h**2.
2*h**2*(h - 1)**2*(3*h + 1)
Let a(x) be the first derivative of 5*x**4/4 - 20*x**3/3 + 10*x**2 + 11. Factor a(q).
5*q*(q - 2)**2
Let i(f) be the first derivative of f**7/840 + f**6/120 + f**5/60 + 4*f**3/3 - 1. Let s(m) be the third derivative of i(m). Find l such that s(l) = 0.
-2, -1, 0
Let v(t) be the second derivative of -t**7/105 + t**5/50 + 4*t. Factor v(o).
-2*o**3*(o - 1)*(o + 1)/5
Let q(l) = -70*l**5 + 125*l**3 + 55*l**2 + 55*l - 55. Let t(h) = -5*h**5 + 9*h**3 + 4*h**2 + 4*h - 4. Let f(g) = 4*q(g) - 55*t(g). Find c such that f(c) = 0.
-1, 0, 1
Suppose 4 = -0*k + 2*k. Let v be 2*2/4 + 1. Factor -2*h**2 + h**3 + 3*h + h**v - 2*h**k - 1.
(h - 1)**3
Let h = 8731/30 - 291. Let r(b) be the second derivative of h*b**5 + 0*b**2 + 3*b + 0 + 2/27*b**4 + 1/27*b**3. Factor r(v).
2*v*(v + 1)*(3*v + 1)/9
Suppose 16 = 5*f - 2*r - 2*r, 5*f = 3*r + 17. Let u = f + -2. Suppose u*t - 2*t**2 - 3*t**3 - t**3 + 2*t**3 + 2*t**4 = 0. What is t?
-1, 0, 1
Factor 3/2*z**5 + 0*z**4 + 0*z**2 - 3*z**3 + 0 + 3/2*z.
3*z*(z - 1)**2*(z + 1)**2/2
Factor 1/2*q**5 + 0*q**2 + 0 + 0*q - 1/4*q**4 - 1/4*q**3.
q**3*(q - 1)*(2*q + 1)/4
Let x(f) = 10*f**4 + 19*f**3 - 5*f**2 + 11*f + 11. Let v(r) = r**4 + r**3 + r**2 + r + 1. Let w(k) = 22*v(k) - 2*x(k). Factor w(t).
2*t**2*(t - 4)**2
Suppose -6*o**2 + 5*o**2 - o**4 - o + 3*o**2 - 5*o**2 - 3*o**3 = 0. Calculate o.
-1, 0
Let c(n) = n**2 + 8*n + 8. Let f be c(-8). Factor f + 3*g**4 - 8 - g**4 + g**3 + g**5.
g**3*(g + 1)**2
Let l(i) be the second derivative of -i**7/210 + 2*i**6/75 - 3*i**5/100 - i**4/15 + 2*i**3/15 - 22*i. Determine u so that l(u) = 0.
-1, 0, 1, 2
Solve -4*o**5 - 22 + 42*o**3 + 22 - 26*o**3 = 0.
-2, 0, 2
Let j(l) be the first derivative of 2*l**5/35 - 5*l**4/14 + 2*l**3/7 + 5*l**2/7 - 8*l/7 - 6. What is p in j(p) = 0?
-1, 1, 4
Solve -2/17*r**4 - 4/17*r + 0*r**3 + 0 + 6/17*r**2 = 0 for r.
-2, 0, 1
Let p(u) be the second derivative of -u**4/54 + u**3/9 - 15*u. Factor p(t).
-2*t*(t - 3)/9
Let n(x) be the first derivative of -5*x**3/3 - 15*x**2/2 + 11. Factor n(u).
-5*u*(u + 3)
Let i(m) be the third derivative of -7*m**6/180 + m**5/30 - m**3/3 + m**2. Let a(r) be the first derivative of i(r). Suppose a(b) = 0. What is b?
0, 2/7
Let u be 2 + -2 - (-42)/105. Solve -u*p**3 + 0*p**2 - 2/5*p**5 + 0*p - 4/5*p**4 + 0 = 0 for p.
-1, 0
Suppose j - 3*j = 32. Let z be 72/j*2/(-3). Solve 4 - 3*u + 2*u - z*u**2 + u**2 - u = 0 for u.
-2, 1
Let u(b) be the first derivative of 2 - 1/120*b**6 + 0*b**4 + b**2 - 1/60*b**5 + 0*b + 0*b**3. Let p(v) be the second derivative of u(v). Factor p(m).
-m**2*(m + 1)
Factor 0*h + 0*h**3 + 4/5*h**2 - 3/5*h**4 + 0 + 1/5*h**5.
h**2*(h - 2)**2*(h + 1)/5
Let l(k) be the third derivative of k**7/10080 + k**6/1440 + k**5/480 - 5*k**4/24 - 3*k**2. Let t(b) be the second derivative of l(b). Factor t(h).
(h + 1)**2/4
Let c(b) = -b - | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from ddodggdddddgdgdo?
9/28
What is prob of picking 2 y and 1 v when three letters picked without replacement from vlvvlvyvvvvvy?
9/286
Calculate prob of picking 1 e and 2 t when three letters picked without replacement from {y: 1, l: 6, e: 2, t: 2, q: 1}.
1/110
Three letters picked without replacement from {v: 9, g: 2, t: 6}. What is prob of picking 1 g and 2 v?
9/85
Two letters picked without replacement from jjuruutjprppyt. What is prob of picking 1 t and 1 p?
6/91
Two letters picked without replacement from {u: 10, w: 10}. What is prob of picking 1 w and 1 u?
10/19
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 4, s: 3, p: 6}.
4/13
What is prob of picking 1 j and 1 u when two letters picked without replacement from ujjuuuu?
10/21
Three letters picked without replacement from oodddodduddduauudd. Give prob of picking 1 u and 2 d.
15/68
Four letters picked without replacement from {v: 3, d: 15, b: 2}. What is prob of picking 4 d?
91/323
Calculate prob of picking 4 g when four letters picked without replacement from {p: 9, g: 10}.
35/646
What is prob of picking 1 l and 3 m when four letters picked without replacement from mllllllmllllllmllllm?
64/4845
What is prob of picking 1 r, 1 g, and 2 p when four letters picked without replacement from sfrgysrrsgrpps?
8/1001
What is prob of picking 2 l, 1 w, and 1 i when four letters picked without replacement from xcwlwxxlwwwxiliw?
9/455
Calculate prob of picking 1 c and 1 r when two letters picked without replacement from rbxuucburybb.
1/33
What is prob of picking 2 b when two letters picked without replacement from {v: 11, s: 1, b: 3}?
1/35
What is prob of picking 2 p and 1 m when three letters picked without replacement from {m: 1, p: 6, h: 7}?
15/364
What is prob of picking 1 y and 1 e when two letters picked without replacement from eyeeeeeeeeeye?
11/39
Calculate prob of picking 4 c when four letters picked without replacement from {c: 4}.
1
Three letters picked without replacement from xauchmcmchuhu. What is prob of picking 3 h?
1/286
What is prob of picking 2 t and 1 e when three letters picked without replacement from myttttetymmyymt?
3/91
Four letters picked without replacement from vvwzltzj. Give prob of picking 1 t and 3 w.
0
What is prob of picking 1 c, 1 i, and 2 r when four letters picked without replacement from {r: 4, c: 5, t: 3, s: 1, i: 1}?
30/1001
Calculate prob of picking 2 j when two letters picked without replacement from {p: 2, q: 2, t: 4, j: 2}.
1/45
Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {q: 1, o: 1, d: 1, g: 2, j: 1, c: 1}.
1/21
What is prob of picking 1 j, 1 q, and 1 d when three letters picked without replacement from {d: 1, y: 3, i: 2, v: 3, j: 2, q: 4}?
8/455
Calculate prob of picking 1 c, 2 z, and 1 b when four letters picked without replacement from {p: 4, c: 1, b: 2, z: 2}.
1/63
What is prob of picking 1 t and 1 l when two letters picked without replacement from ttnttttltllttlttllt?
8/19
Calculate prob of picking 1 z and 1 d when two letters picked without replacement from zzkzzzzzkzkzdzz.
11/105
What is prob of picking 1 e and 1 m when two letters picked without replacement from {m: 12, e: 6}?
8/17
Four letters picked without replacement from ustuutuuuututu. Give prob of picking 1 t, 1 s, and 2 u.
144/1001
Two letters picked without replacement from ywyywwww. Give prob of picking 2 w.
5/14
Three letters picked without replacement from okxqokqeeqeqoqoeekyq. What is prob of picking 1 k, 1 y, and 1 e?
1/76
What is prob of picking 3 c when three letters picked without replacement from jjccjjcjjcjc?
1/22
What is prob of picking 2 e and 1 m when three letters picked without replacement from {s: 5, v: 1, m: 1, e: 4, z: 5}?
3/280
What is prob of picking 1 n, 1 j, 1 v, and 1 i when four letters picked without replacement from jnvnniviijinjijivii?
32/323
What is prob of picking 1 k and 1 m when two letters picked without replacement from mvqmqvvqgkvk?
2/33
Three letters picked without replacement from kkkqukkiuqqugqguiilu. Give prob of picking 1 l and 2 u.
1/114
What is prob of picking 3 r and 1 m when four letters picked without replacement from jjkggrmjrlkgggr?
1/1365
What is prob of picking 3 o when three letters picked without replacement from {o: 3, g: 1, w: 1}?
1/10
What is prob of picking 1 e, 1 c, and 1 v when three letters picked without replacement from {c: 4, y: 6, u: 1, e: 1, r: 1, v: 2}?
8/455
Four letters picked without replacement from {c: 4, e: 3}. What is prob of picking 2 c and 2 e?
18/35
What is prob of picking 2 z when two letters picked without replacement from zzznznznnn?
2/9
What is prob of picking 2 h and 2 x when four letters picked without replacement from xxhhxhhh?
3/7
Three letters picked without replacement from {g: 1, t: 1, p: 1, o: 2, d: 1, n: 1}. What is prob of picking 1 o, 1 g, and 1 d?
2/35
Four letters picked without replacement from {p: 7, b: 1, r: 7, d: 1}. What is prob of picking 2 p and 2 r?
63/260
What is prob of picking 2 e when two letters picked without replacement from vvvvveuuvve?
1/55
Calculate prob of picking 4 a when four letters picked without replacement from aakaaaaaakakaaaakaaa.
364/969
Two letters picked without replacement from hoopwoop. What is prob of picking 1 w and 1 h?
1/28
What is prob of picking 3 a and 1 v when four letters picked without replacement from avvvaavaavaavaaaaaa?
143/323
Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, h: 2, r: 5, k: 3}.
2/21
Calculate prob of picking 3 k when three letters picked without replacement from {x: 2, k: 6}.
5/14
Four letters picked without replacement from vvvsvts. What is prob of picking 4 v?
1/35
What is prob of picking 3 f and 1 m when four letters picked without replacement from fxfmmfxffxx?
2/33
Four letters picked without replacement from {k: 1, x: 2, b: 4}. Give prob of picking 1 b, 2 x, and 1 k.
4/35
What is prob of picking 1 n and 1 q when two letters picked without replacement from qxnvvvxtoxxxx?
1/78
What is prob of picking 1 d and 1 n when two letters picked without replacement from mdnwduwn?
1/7
Four letters picked without replacement from {v: 2, h: 3}. What is prob of picking 3 h and 1 v?
2/5
Two letters picked without replacement from pjjcdccdjcwcdfdc. Give prob of picking 1 c and 1 w.
1/20
Calculate prob of picking 1 h and 1 s when two letters picked without replacement from shhhsjhjhhh.
14/55
What is prob of picking 2 q and 1 y when three letters picked without replacement from hhqqbbbbhhbbybhyq?
3/340
Two letters picked without replacement from hddfdddisihihdsi. Give prob of picking 1 h and 1 s.
1/20
Calculate prob of picking 2 w and 2 e when four letters picked without replacement from werwreegwggewwwkwee.
105/1292
What is prob of picking 1 z and 2 k when three letters picked without replacement from {z: 1, q: 10, k: 7}?
7/272
Three letters picked without replacement from cwzsozzcszcn. What is prob of picking 1 z, 1 w, and 1 o?
1/55
What is prob of picking 1 a and 2 u when three letters picked without replacement from {v: 4, r: 1, n: 3, a: 2, u: 2, e: 3}?
2/455
Three letters picked without replacement from kxxxkxkkxxkx. Give prob of picking 3 x.
7/44
What is prob of picking 1 a and 1 v when two letters picked without replacement from {s: 5, k: 4, v: 3, a: 1}?
1/26
Calculate prob of picking 2 v when two letters picked without replacement from {w: 8, v: 2, y: 2, e: 1}.
1/78
Four letters picked without replacement from {y: 1, e: 2, t: 2, v: 4}. What is prob of picking 2 e, 1 y, and 1 t?
1/63
Calculate prob of picking 2 q when two letters picked without replacement from gpnqqqngggqngnqqgq.
7/51
Three letters picked without replacement from {k: 1, o: 1, v: 2, y: 4}. What is prob of picking 1 v, 1 o, and 1 k?
1/28
Calculate prob of picking 1 g, 1 r, and 1 j when three letters picked without replacement from {r: 1, j: 1, a: 3, k: 3, g: 2, u: 1}.
2/165
Calculate prob of picking 1 s, 1 q, and 1 a when three letters picked without replacement from ssqayyyxxxzx.
1/110
Three letters picked without replacement from twttttw. What is prob of picking 1 w and 2 t?
4/7
Two letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
y*(y/(y*y**(-9))*y)**(6/23) assuming y is positive.
y**(4533/230)
Simplify (w**(-2))**27*(w**(11/3)*w*w)/w*w**(-5) assuming w is positive.
w**(-163/3)
Simplify (t**21*((t*t**28)/t*t)/t)/(t**(-1/5)*t**(-4/29)) assuming t is positive.
t**(7154/145)
Simplify ((w*(w*w/(w*w**(-8/5)*w*w))/w)/w**(2/63))/(w**(-12)/w)**14 assuming w is positive.
w**(57509/315)
Simplify (((s/(s**(-1/3)/s*s)*s)**(1/27))**29)**44 assuming s is positive.
s**(8932/81)
Simplify (((u**0/u)/u*u*u*u**6*u)/(((u/(u/((u/(((((u**(1/2)*u)/u)/u)/u)/u))/u)))/u)/u*(u**(-3/4)*u*u)/u))**46 assuming u is positive.
u**(575/2)
Simplify ((x*x/(x*(x/(x/x**(-4/9)))/x)*x/(x**(2/3)*x)*x)/((x*x/x**1)/(x*x*x*x**(1/4)*x)))**(-2/35) assuming x is positive.
x**(-31/90)
Simplify ((x*(x/x**(-1))/x*x)**(1/46)*x*x**(3/5)*x**(-3)/x)**38 assuming x is positive.
x**(-10203/115)
Simplify ((s**(2/25)/((s*s**(1/6)*s)/s))/(s*s/(s*s**(-1/5))*s**(-7)))**(-2/23) assuming s is positive.
s**(-707/1725)
Simplify ((d/((d**(-2/31)/d)/d)*d*d*d/d**11)**(-14/5))**7 assuming d is positive.
d**(14994/155)
Simplify (z**(-8)*z*z**26/z)/(z*(z/z**(1/22))/z*z*(z/(z/(z/z**(-1/6))))/z) assuming z is positive.
z**(524/33)
Simplify (l**(-1/34)/l*l*l**(19/5))**44 assuming l is positive.
l**(14102/85)
Simplify ((n**18*n)/n**(15/7))/(n/(n/n**12)*(n**(-9)*n)/n) assuming n is positive.
n**(97/7)
Simplify m**19*m*m*m/m**(-5)*(m**(-6)*m*m*m*m)/((m**(-22)*m)/m*m) assuming m is positive.
m**46
Simplify (s*s**(-17)*s*s**(4/7))/(s**(-2/11))**(-12/11) assuming s is positive.
s**(-12389/847)
Simplify (o**(-22)*o*o)/(o/o**(-32))*o**(-23)/o**(3/2) assuming o is positive.
o**(-155/2)
Simplify (m**2/(m**3/m))/(m*m/(m*(m/(m/(m**(-1)*m)*m))/m))**(1/17) assuming m is positive.
m**(-3/17)
Simplify (b/(b/b**8)*b)/((b/(((b/b**17)/b)/b)*b)/b)*b*b/b**(-31)*b/(b*(b**18*b)/b*b*b) assuming b is positive.
b**3
Simplify (x*x*x**10*x**14*x)/(x**(1/8)/(x*x/(x*x**(-10))*x)) assuming x is positive.
x**(311/8)
Simplify (i**(-3))**(45/4)*i/(i/((i*i/(i**10*i*i))/i))*i*i*(i**(-1/2)/i)/i assuming i is positive.
i**(-181/4)
Simplify ((w**9*w*w**(-1/5))**19)**(-1/22) assuming w is positive.
w**(-931/110)
Simplify ((i**(-1/6)*i**(1/3))**(-44))**(3/10) assuming i is positive.
i**(-11/5)
Simplify ((h*h*(h*h*h**(1/11)*h)/h)/((h/((h*h/h**(7/4)*h)/h))/h))/(h/h**(-1/3))**(-30/13) assuming h is positive.
h**(4243/572)
Simplify ((w/(w**(-1/3)/w)*w*w/((w*w**(-3/2))/w)*w)**(-39))**(-1/4) assuming w is positive.
w**(533/8)
Simplify ((m**1)**(-32)/(m**1/m**(-9)))**(-1/7) assuming m is positive.
m**6
Simplify (s**(-5/4)/s**(-2))/(s**(14/5)*s*s*(s/s**15)/s) assuming s is positive.
s**(219/20)
Simplify ((b*b/(b**(2/59)*b))/b)/b**(16/3)*(b*b*(b/(b/(b*b/b**(-16)))*b)/b*b)/(b/b**(-7/3)) assuming b is positive.
b**(2177/177)
Simplify (o**(-10)*o)/o**(8/5)*(o**5/o)**(-4) assuming o is positive.
o**(-133/5)
Simplify (c**4)**36*(c**(-1))**(2/49) assuming c is positive.
c**(7054/49)
Simplify (j*j**2*j)**(2/21)/(j*j**(-1/4))**(2/47) assuming j is positive.
j**(689/1974)
Simplify (((n/n**21)/n)/(n/(n**(-8)/n)*n*n))**7 assuming n is positive.
n**(-231)
Simplify (w**40/(w**34/w))/(w/(w/w**(-11)*w)*w**(9/4)) assuming w is positive.
w**(67/4)
Simplify (((a**(1/10)/a)/((a/a**(3/2))/a))/(a*(a**(-1)*a)/a)**(4/3))**(-24) assuming a is positive.
a**(-72/5)
Simplify ((x**(-3)*x)/(x/x**(-6)*x)*((x**(2/7)*x)/x)**28)**(-1/18) assuming x is positive.
x**(1/9)
Simplify w/(w*w**(1/10))*w**(3/11)*w**(5/2)/((w/w**(2/31))/w) assuming w is positive.
w**(4667/1705)
Simplify (m**18*(m/(m**(4/25)/m))/m)/((((m*((m*m*m**(-6/13)*m)/m)/m*m)/m)/m)/(m**(-3)/m)) assuming m is positive.
m**(4648/325)
Simplify ((a**(-1/7)*a**2/a)/(((a/(a/(a*a**0*a)))/a)/a)**(-4))**16 assuming a is positive.
a**(96/7)
Simplify ((s/s**(-6))/s*s*s*s)/(s/s**(2/31))*(s**(4/7))**(-4/3) assuming s is positive.
s**(4754/651)
Simplify (o/(o*o**(-1/43))*(o**(13/4)*o*o)/o)/((o/(o*o**(-2/3)*o*o))/o**(-26)) assuming o is positive.
o**(-10523/516)
Simplify (h**(2/9))**35*(h**(-3))**0 assuming h is positive.
h**(70/9)
Simplify ((b*b**(1/5)/b*b)/b*(b/(b**(2/3)/b))/b*b)**(39/2) assuming b is positive.
b**(299/10)
Simplify (p*p**(-11)*p)**(4/5)*(p**(-6))**(-2/59) assuming p is positive.
p**(-2064/295)
Simplify ((l**(-11)*l)/(l/((l*l**(-3/7))/l)*l))/((l/(l**(-4/7)*l))/l)**(-32) assuming l is positive.
l**(-183/7)
Simplify ((i/(i/(i*i**(-2/13))))/((i/i**3)/i))**31 assuming i is positive.
i**(1550/13)
Simplify (v**6)**26/(v**6/(v**(2/9)*v)) assuming v is positive.
v**(1361/9)
Simplify ((m**(1/15))**(-22/3))**(-36) assuming m is positive.
m**(88/5)
Simplify (q**(-1)*q*q*q*q/(q/((q/(q/q**(-10))*q*q)/q)*q)*q)**(-29) assuming q is positive.
q**203
Simplify (s**10/s**(1/4))/(s*s**(-7)/s)**(-5/14) assuming s is positive.
s**(29/4)
Simplify (q/q**(-9))/q**1*(q**11)**0 assuming q is positive.
q**9
Simplify (c/(c/((c*c/c**(-2/15))/c*c)))**5*(c**(-8))**(1/18) assuming c is positive.
c**(92/9)
Simplify (((h/((h/h**(3/14))/h))/(h/(h*h*h**(2/13))))**(3/22))**(1/4) assuming h is positive.
h**(1293/16016)
Simplify (((u**(3/2))**(-11))**49)**(1/9) assuming u is positive.
u**(-539/6)
Simplify ((p**(-2/11)*p*p)/(p**10*p)*(p**(-2))**(2/111))**39 assuming p is positive.
p**(-146315/407)
Simplify (((y**(1/11)*y*y)/y)**24)**46 assuming y is positive.
y**(13248/11)
Simplify (n**3)**(-1/27)*(n*n/(n*n/n**(1/2)*n*n))**10 assuming n is positive.
n**(-136/9)
Simplify o**(4/5)/o**(1/6)*o/o**(-2/49)*o**8 assuming o is positive.
o**(14221/1470)
Simplify (x**(3/8)*x**6)/(x*x**(-14)*x*x**(2/57)) assuming x is positive.
x**(8363/456)
Simplify (z**(3/2))**(2/9)/(z*z*z**(3/7))**(-15/8) assuming z is positive.
z**(821/168)
Simplify (u**1/u)**(2/9)/(u*u*u*u/u**(-2/3)*u**(-1/2)) assuming u is positive.
u**(-25/6)
Simplify ((j**(-6))**(6/7))**(-24) assuming j is positive.
j**(864/7)
Simplify (k**(1/16))**(2/47)/((k/k**(-1/47)*k)/((k**(-6/7)/k)/k)) assuming k is positive.
k**(-12833/2632)
Simplify (j**2/j*j**13)/(j**(3/14)/j**(5/3)) assuming j is positive.
j**(649/42)
Simplify (b**(-11)/(b/(b/b**2))*b/((b*((b/b**2)/b)/b)/b)*(b*((b/b**(-3/8))/b)/b)/b*b)**(-30) assuming b is positive.
b**(1035/4)
Simplify ((w**(-13)/(w/w**(-1/2)))**(44/7))**(-3/7) assuming w is positive.
w**(1914/49)
Simplify (x**26*x**(-11/6))**(-2/41) assuming x is positive.
x**(-145/123)
Simplify ((z/((z/((z*(z**(-4/5)/z)/z)/z))/z))/((z*(z*z*z**30/z)/z)/z))**(-8) assuming z is positive.
z**(1272/5)
Simplify b*b**(-1)*b**(-2/7)*b**(-3/17)/(b/((b/(b/(b*b**10)))/b)) assuming b is positive.
b**(1016/119)
Simplify ((l**(-2))**14)**(-1/25) assuming l is positive.
l**(28/25)
Simplify f**(-32)*f**0*f*f*f*f**(-8)*f**(3/5) assuming f is positive.
f**(-182/5)
Simplify (o**(-2/3))**(-33)/((o/(o**(-5/3)/o))/o**(2/11)) assuming o is positive.
o**(611/33)
Simplify (p**(-2/11))**(-2/53)/(((p/p**15)/p)/p)**27 assuming p is positive.
p**(251860/583)
Simplify (((w/(w/(w*(w/w**(1/6)*w)/w)))/(w*(w**(-3)*w)/w*w))**(2/19))**(-23) assuming w is positive.
w**(-391/57)
Simplify (s**(-32)/((s**(-11)/s)/s))**(-38) assuming s is positive.
s**722
Simplify (c/(c**(1/4)*c)*c**(-2/35))**(-5) assuming c is positive.
c**(43/28)
Simplify (y/((y*y/((y*y/(y**4/y))/y))/y))**(-36)/((y**(2/15)*y)/y*y*y**(2/23)) assuming y is positive.
y**(24419/345)
Simplify (b*b*b**(-4))**(1/3)*b*(b*b**11)/b*b*b*b**(-3/5)/b assuming b is positive.
b**(176/15)
Simplify r**(-1/2)*r**(-3/13)*r/((r**12/r)/r)*r*r*r*(r*r*r**(-10)/r)/r assuming r is positive.
r**(-435/26)
Simplify (v**1/v*v*v**19*v)/((((v*v**(25/3))/v)/v)/(v**30/v)) assuming v is positive.
v**(128/3)
Simplify ((l*l**23)/(l**18/l))/((l*l/(l*(l/l**15)/l*l*l)*l)/l**(-1/5)) assuming l is positive.
l**(-41/5)
Simplify ((p**(-1)/p*p)**12/((p/p**0)/(p/p**(9/4))))**(-2/19) assuming p is positive.
p**(3/2)
Simplify (t**(1/28)*t**8)/((((t**5*t)/t)/t*t)/(t/t**(-1/10))) assuming t is positive.
t**(579/140)
Simplify c**7*c/(c/((c**(11/6)/c)/c*c))*(((c/c**(2/7))/c)/c)**(1/2) assuming c is positive.
c**(151/21)
Simplify ((o**(1/8)*o)**(2/31))**(-7/5) assuming o is positive.
o**(-63/620)
Simplify ((t*(t*t/(t/((t/(t/t**(-15)))/t)))/t*t)**(-3/11))**(3/8) assuming t is positive.
t**(63/44)
Simplify ((u/((u*u/((u*u/((u**8/u)/u*u))/u))/u)*u)/((u*u**(-7)/u*u)/u))/(u**(-5)*u)**(1/4) assuming u is positive.
u**3
Simplify (s*s*s**(-4)*s/(s*(s**6*s*s)/s*s) | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of 60/v*2/t?
5
What is the tens digit of (0 + 342/30)*25?
8
Suppose 5*q = q + 452. Suppose -2*h + q = 3*o, 215 = 7*h - 3*h - 5*o. What is the units digit of h?
5
Suppose -50*d = -2*m - 51*d + 8394, -5*d - 16760 = -4*m. What is the thousands digit of m?
4
Let d(q) = 197*q - 79. What is the tens digit of d(5)?
0
Suppose 69*k - 128528 = 11*k. What is the tens digit of k?
1
Let z be 2 + -48 + 6 + -1. Let k = 115 - 183. Let w = z - k. What is the units digit of w?
7
Let k(v) = 2*v**2 - 2*v + 4. Let m be k(-3). Suppose 6*c + c - m = 0. Suppose -c*b - 30 = -5*b. What is the units digit of b?
0
Let a be 9/3*4/6. Let o be a - 1/(-4)*-4. What is the units digit of (o - 8/12)*33?
1
Let w(v) = 10*v**2 - 1 - 6*v**2 + v**2 - 4*v**2 - 13*v. What is the units digit of w(15)?
9
Let f = -903 - -1241. What is the hundreds digit of f?
3
Let q(v) = v**2 - v + 6. Let c(m) = m**2 - 11. Let y be c(4). What is the units digit of q(y)?
6
Let x = 22 - 18. Suppose -3*u + 127 = -2*m, 2*u = 6*m - 3*m + 83. Suppose 2*g = 3*o + u, -g - x*o + 18 - 2 = 0. What is the units digit of g?
0
What is the hundreds digit of (31 - 6)*2/4*28?
3
Let i = -248 + 275. What is the tens digit of i?
2
Let c = 823 + -307. What is the units digit of c?
6
Suppose 2*n + 3*n = 20. Suppose -j = 4*b + 18 - 6, n*j - 3*b + 10 = 0. What is the units digit of ((-5)/j)/((-2)/(-48))?
0
What is the tens digit of (-3 + (-4365)/6)/(36/(-72))?
6
Let k(a) be the second derivative of 35*a**3/6 - 23*a**2/2 + 19*a. What is the units digit of k(7)?
2
Suppose -56*o + 2646 = -49*o. What is the tens digit of o?
7
Let x = 25 - 23. Let y = -2 - x. What is the tens digit of 2/y - (-513)/18?
2
Let p be 2/((-8)/(-28)*-1). Let c = 36 - p. Suppose c - 8 = 5*u. What is the units digit of u?
7
Suppose -23 = 4*s - 2*f + 15, -4*f + 41 = -3*s. Let d(x) = -x**3 - 8*x**2 - 8*x + 3. Let z be d(s). Let c = z + -5. What is the units digit of c?
5
Suppose 278 = r - 484. What is the units digit of r?
2
Let b(m) = 50*m - 15. What is the tens digit of b(4)?
8
Let s = -2 - -7. Suppose s*c - 9 = 16. Suppose 0 = 5*g - c. What is the units digit of g?
1
Let t = -3254 + 4967. What is the tens digit of t?
1
Suppose 0 = -2*f - 2*f + 12. Suppose 0 = -f*o - 2*m, -4*o - m - 7 = -2. Let z = 4 - o. What is the units digit of z?
6
Suppose 3*v = -v + 104. What is the units digit of v?
6
Let j(z) = -2*z + 4. Let n be j(5). Let t be (-33)/(-1 - 3/n). Suppose -4*c = -w - w - t, -3*w + 34 = c. What is the tens digit of c?
1
Suppose -964 = 23*r - 25*r. Let l = r + -321. What is the units digit of l?
1
Suppose -2*j = -3*u + 11, 0 = 4*u - j + 6*j - 30. What is the tens digit of 4/u - 1862/(-35)?
5
Let w(t) be the first derivative of -t**4/12 - 7*t**3/3 + 5*t**2 + 7*t - 1. Let h(q) be the first derivative of w(q). What is the tens digit of h(-13)?
2
Suppose 2*o - 2*h = 2452, -2*o - 3*o + h = -6126. What is the tens digit of o?
2
Let o be 2 - ((3 - 8) + 5). Suppose -395 = -3*j - o*j + 5*k, 5*k - 298 = -4*j. What is the units digit of j?
7
Let l(c) = -16*c**3 - 15*c**2 - 2*c + 19. What is the thousands digit of l(-6)?
2
Let o(d) = d**2 - 13*d + 4. Let j be o(13). Suppose t - 5 = -3*i, 5 + 0 = t - j*i. Suppose 8 + 92 = t*g. What is the units digit of g?
0
What is the tens digit of (-1 - -123) + (-25)/5 + 0?
1
Let c(b) = b**3 + 10*b**2 + 5*b. Let y be c(-8). Let h be ((-2)/(-4))/(11/y). Suppose 5*o - h*i = 322, 5*i = -6*o + 2*o + 233. What is the tens digit of o?
6
Suppose -43015 = -3*s - 7*s - 5*t, 4*s - 17208 = -4*t. What is the tens digit of s?
0
Let x = 217 - 217. Let g = -7 - -11. Suppose -g*n + 60 + 20 = x. What is the units digit of n?
0
Suppose -t - 9 - 3 = 0. Let g = t + 15. Suppose g*j + 0*w = -4*w + 238, -4*j + w + 292 = 0. What is the tens digit of j?
7
Let w(r) = 9*r**3 + 2*r**2 - r - 2. Let u be w(-1). Let f = u + 8. Suppose f = 6*m - 4*m - 14. What is the units digit of m?
7
Let n(s) = -58*s - 48. What is the tens digit of n(-16)?
8
Suppose 4*a - v = v + 30, a = 5*v + 3. Let n = 4 - a. Let k(u) = -u**3 - u**2 - 3*u - 4. What is the tens digit of k(n)?
5
Suppose 34*b = 3442 + 3324. What is the tens digit of b?
9
Suppose -3*h + 618 = 3*j, 4*j + 1030 = 5*h + 7*j. What is the tens digit of h?
0
What is the tens digit of ((-6 + 22)*28)/1?
4
Let l(w) = 3*w + 7. Let g be l(-1). Suppose -4*r - r + 674 = 3*a, 2*a + g*r = 446. What is the hundreds digit of a?
2
Let q be (-1)/(-1) - (-7 - (0 - 0)). Let c(y) = 16*y + 73. What is the tens digit of c(q)?
0
Let x(b) = -7*b**3 + b. Let t be x(-1). Let q be -2 - (t/(-1) - 1). Suppose -99 = -q*y + 11. What is the tens digit of y?
2
Suppose k + 1 = -4*a, 3*a + 2*a - 10 = -5*k. Let x(q) = q**3 + 7*q**2 - 2*q - 12. Let r be x(-7). Suppose s - k - r = 0. What is the units digit of s?
5
Let m(l) = -l**2 - 10*l - 10. Let b be m(-8). Let h(z) = -z**3 + 8*z**2 + 5*z - 4. What is the units digit of h(b)?
8
Suppose 2*a - j = 16, 12 = -0*j - 3*j. Suppose -27 = 3*k + 4*n + 62, 4*k + 124 = -4*n. What is the units digit of k/(-21) + 2/a?
2
Suppose -2*i - 652 = -3*r + 2*i, -i - 658 = -3*r. What is the units digit of r?
0
Suppose -4*w = -w - 15. Let x(p) = -w*p + 2 - 5*p - 3 + 0*p - p**2. What is the tens digit of x(-8)?
1
Let f be 88/(-10) + 63/(-315). Suppose -2*t = 12 - 0. What is the units digit of t/f + 128/6?
2
Let p(b) = -2*b**3 - 11*b**2 - 9*b + 9. Let q be p(-7). Suppose 0 = -9*a + 12*a - q. What is the tens digit of a?
7
Suppose -56*f = -38*f - 24210. What is the thousands digit of f?
1
Let v = -596 + 856. What is the tens digit of v?
6
Suppose 258 - 216 = -2*c. What is the units digit of (7/c)/((-1472)/(-492) + -3)?
1
What is the hundreds digit of (-80)/(-280) - 2913/(-21)?
1
What is the units digit of (-68 - -1)/(31/(-186))?
2
Let y = -25 + 25. Suppose y*j + 2*j - 158 = 0. What is the units digit of j?
9
Let j be ((-26)/(-4))/((-10)/(-260)). Suppose 7*u - j = 55. What is the tens digit of u?
3
Let l be -13 - ((-4)/(-4) + -1). Let m = -9 - l. What is the units digit of 19 + (m - 0 - 0)?
3
Let d(p) = -p**3 - 7*p**2 + p - 8. Suppose 6*q + 81 = -3*q. What is the units digit of d(q)?
5
Suppose -25*f = -35*f - 160. Let z(d) = 2*d**3 + 31*d**2 - 17*d + 28. What is the tens digit of z(f)?
4
Let h = -6353 + 8920. What is the units digit of h?
7
Let p = 434 + -134. What is the tens digit of p?
0
Let o(v) = 2*v - 5. Let k(z) = -3*z + 3 + 3*z - 3*z + 2*z. Let g(u) = 7*k(u) + 3*o(u). What is the tens digit of g(-5)?
1
Let c(r) = 1. Let v(l) = -2*l - 8. Let b(d) = 5*c(d) - v(d). What is the tens digit of b(0)?
1
Let w(o) = 241*o - 139. What is the hundreds digit of w(10)?
2
Let b be (-55)/33*(-36)/10. Suppose 0 = -b*i + 275 + 199. What is the tens digit of i?
7
Let x(i) = -i - 26. Let p be (-35)/3 - (-6)/(-18). Let f be x(p). What is the units digit of 615/35 - 6/f?
8
Let o(b) = b**2 + 1. Let g(p) = -p**3 - 2*p**2 + 5*p + 6. Let h(z) = -g(z) - 2*o(z). What is the units digit of h(5)?
2
Let u = 1475 + -730. Suppose b = 3*x + 265, x = 9*b - 12*b + u. What is the tens digit of b?
5
Suppose -13*u + 18*u - 20 = 0. Suppose u*b - 2*b - 4*a = 66, -5*b - 4*a = -95. What is the units digit of b?
3
Let u = -779 + 1225. What is the tens digit of u?
4
Let m(w) = w**3 + 31*w**2 + 14*w + 263. What is the units digit of m(-13)?
3
Let x(p) = p**2 + 9*p + 6. Let n be x(-6). Let v = n - -15. Suppose -o = v*o - u - 7, -3*u = 9. What is the units digit of o?
1
Let f be (1*20)/((-42)/(-21)). Suppose 0 = -f*n + 4*n + 396. What is the tens digit of n?
6
Let k = 144 + -110. What is the tens digit of (k/(-7))/(-2*(-6)/(-84))?
3
Suppose 5*q = -f + 1453, 0 = -5*f + f - q + 5831. What is the tens digit of f?
5
Suppose 2*d = -h - 16, -2*h - 8*d = -3*d + 36. Let g = h + 9. What is the tens digit of (4 - -10)*(g - -1)?
2
What is the units digit of (1184/(-64))/((-4)/1352)?
3
Suppose -j = -c - 2400, -6*c + 2*c = -5*j + 12001. What is the thousands digit of j?
2
Let f = -225 - -368. Suppose -w + 55 = 2*o, -4*o - o - f = -3*w. What is the units digit of w?
1
Suppose 3*p + 9 = -6. Let t(r) = r - 6 - 1 + r**2 + 0*r**2 + 10. What is the units digit of t(p)?
3
What is the hundreds digit of (-28)/(-20)*1471 + (-6)/(-10)?
0
Suppose -4*y - 5*d = -349, 3*y + 0*d - 259 = -d. Suppose -m + 4*c = -61, -y = -0*m - 2*m - 4*c. What is the tens digit of | {
"pile_set_name": "DM Mathematics"
} |
-13
Solve 0 = 92*u - 226 + 1790 for u.
-17
Solve -110 = 462*k - 572 for k.
1
Solve -394*c + 330 = -197*c - 212*c for c.
-22
Solve 76 = 61*p - 90 + 44 for p.
2
Solve 46*q - 1243 = 198*q + 125 for q.
-9
Solve 0 = -55*z - 456 - 39 for z.
-9
Solve 0 = -105*u - 12568 + 9313 for u.
-31
Solve -25*k - 2418 = 76*k + 85*k for k.
-13
Solve -261*z = 256*z - 487*z + 330 for z.
-11
Solve 0*j + 338 = 17*j - 43*j for j.
-13
Solve 20*d + 990 = 1230 for d.
12
Solve 413*x - 60 = 403*x for x.
6
Solve -70*d - 56 + 53 = 137 for d.
-2
Solve -173*d = -265*d - 184 for d.
-2
Solve 32*c = 8*c + 5*c + 76 for c.
4
Solve -20*h - 41 = -61 for h.
1
Solve -47*r - 143*r - 6*r + 588 = 0 for r.
3
Solve 13*c = -72*c - 340 + 1785 for c.
17
Solve 317*h - 3059 = 184*h for h.
23
Solve 55*t + 984 = 159 for t.
-15
Solve 574 - 296 = 411*j - 544 for j.
2
Solve 37*m = 76*m - 273 for m.
7
Solve 880 = -98*h + 2863 + 1643 for h.
37
Solve -161*q + 29*q - 990 = 33*q for q.
-6
Solve -1188 = 23*h + 182*h + 3322 for h.
-22
Solve 9025 = -1298*i - 220 - 20609 for i.
-23
Solve -584*g + 879 - 6135 = 0 for g.
-9
Solve -1076 = 103*l - 149 for l.
-9
Solve -32*a - 59*a = 40*a - 3144 for a.
24
Solve 627*h - 11295 - 1245 = 0 for h.
20
Solve 110 = -3*a - 79 + 150 for a.
-13
Solve 543 + 6492 = -376*u - 3493 for u.
-28
Solve 0 = 86*c + 4971 - 3251 for c.
-20
Solve 11*g = 8 - 140 for g.
-12
Solve -49*f - 296 + 154 - 250 = 0 for f.
-8
Solve 2107 = 28*o + 1631 for o.
17
Solve 105*q + 244*q - 27*q = 966 for q.
3
Solve -271*t + 526 = 1610 for t.
-4
Solve -627 = -9*v + 11*v + 55*v for v.
-11
Solve -48*k - 374 = 183 + 67 for k.
-13
Solve 275*g = -182*g - 12903 + 107 for g.
-28
Solve -423*k + 422*k = -9 for k.
9
Solve 0 = 89*p - 103*p + 42 for p.
3
Solve -49*r = 84*r - 266 for r.
2
Solve -184 + 81 = -7*a - 96 for a.
1
Solve 99*n - 3568 = 445*n - 123*n for n.
-16
Solve 0 = -5*c + 35 + 50 for c.
17
Solve 19*n - 1309 = -3*n + 99*n for n.
-17
Solve 60*u - 4167 = -2487 for u.
28
Solve 18*r + 13*r = -1051 + 245 for r.
-26
Solve 793*w - 44 = 815*w for w.
-2
Solve 9*b = -14*b - 5*b + 308 for b.
11
Solve 9*y - 19*y - 193 = -53 for y.
-14
Solve -12*h + 44*h + 441 = -17*h for h.
-9
Solve 238 = -84*m - 9*m + 52 for m.
-2
Solve 0 = 11*i + 16*i + 670 - 22 for i.
-24
Solve 0 = 2*p - 135 + 107 for p.
14
Solve -j = -6*j - j - 2*j for j.
0
Solve 6187 = 7*m + 5907 for m.
40
Solve -167*c + 204 = 598 + 3280 for c.
-22
Solve -304*s - 245 = -89*s - 1320 for s.
5
Solve -19*i - 79*i = 31*i - 258 for i.
2
Solve 4 = -1046*o + 1048*o - 6 for o.
5
Solve 0 = 1168*m - 49*m + 36927 for m.
-33
Solve 0 = -283*f - 2572 + 7666 for f.
18
Solve 0 = 355*w - 368*w + 7 - 20 for w.
-1
Solve -763*k = -1936*k - 15249 for k.
-13
Solve 241*d - 128*d + 452 = 0 for d.
-4
Solve 711 + 799 = 125*h + 260 for h.
10
Solve 3927 - 1052 = -125*c for c.
-23
Solve -541 = 9*m + 576 - 1153 for m.
4
Solve -50*m - 101*m = 755 for m.
-5
Solve -231*j + 87*j + 858 + 726 = 0 for j.
11
Solve 1121*q + 360 = 1061*q for q.
-6
Solve 567*z + 1038 = -96 for z.
-2
Solve 38*c - 13 - 114 = 177 for c.
8
Solve -977*o - 2397 - 1404 = 1084 for o.
-5
Solve 1432*a = 1460*a for a.
0
Solve -19 = 663*g - 658*g + 26 for g.
-9
Solve -74*o - 186 - 86 = 172 for o.
-6
Solve 16*l + 46159 = 46431 for l.
17
Solve -6572*f + 6956*f = -7296 for f.
-19
Solve 0 = 176*w - 994 + 1874 for w.
-5
Solve 0 = 18*y - 3*y - 160 + 250 for y.
-6
Solve 0 = 77*j - 45*j + 64 for j.
-2
Solve -3*m + 16 - 34 = 3*m for m.
-3
Solve 225*q + 41*q = 10*q + 1792 for q.
7
Solve 15*b = 25*b - 17*b - 42 for b.
-6
Solve 253*h - 3736 - 3095 = 0 for h.
27
Solve -52*t + 718 - 510 = 0 for t.
4
Solve -337 = -17*w + 34 - 82 for w.
17
Solve 190*f = 47 + 333 for f.
2
Solve -91*f = -14116 + 12387 for f.
19
Solve 276*d = 303*d - 324 for d.
12
Solve -51 - 35 = -22*l - 20 for l.
3
Solve 36*w - 133*w + 668 = 70*w for w.
4
Solve 40*j + 37*j - 617 + 78 = 0 for j.
7
Solve 0 = -22*y + 69*y - 235 for y.
5
Solve 74*u + 153 = -40 - 29 for u.
-3
Solve 0 = 12412*r - 12280*r - 2112 for r.
16
Solve 122*d - 150*d = 182*d - 1260 for d.
6
Solve 0 = -589*s - 1596 - 4883 for s.
-11
Solve 2625*s - 2664*s = -858 for s.
22
Solve -9*m + 6 - 36 = 33 for m.
-7
Solve 218 = -10*v + 153 - 175 for v.
-24
Solve -281*b - 384*b + 914 = -1746 for b.
4
Solve 20 - 110 = -18*h for h.
5
Solve 246*u + 82*u = 43*u + 6270 for u.
22
Solve 27*q + 459 = 123*q + 57*q for q.
3
Solve -9*n - 82 = -100 for n.
2
Solve -3850 = 75*y + 46*y + 385 for y.
-35
Solve 2257 + 36 = -877*a - 1215 for a.
-4
Solve -3075 = -17*u - 188*u for u.
15
Solve -142745*b + 142574*b = -513 for b.
3
Solve 26614 = -363*z - 365*z + 7686 for z.
-26
Solve -3*k + 298 - 585 = -290 for k.
1
Solve -3*p + 111 = 5*p + 7 for p.
13
Solve 107*b + 1583 + 450 = 0 for b.
-19
Solve -5047*g - 918 = -4993*g for g.
-17
Solve -63*o - 73*o - 185 = -2089 for o.
14
Solve -2909*n = -2917*n + 88 for n.
11
Solve -2952*y = -2930*y for y.
0
Solve 38 - 44 = 6*h for h.
-1
Solve -54*x = -209*x + 470 - 5 for x.
3
Solve 0 = -62*b + 447*b - 8470 for b.
22
Solve -762 + 172 = 185*l + 520 for l.
-6
Solve -127*s + 21*s + 848 = 0 for s.
8
Solve 0 = 88*r - 137*r + 100*r + 204 for r.
-4
Solve -755*v + 20531 + 5894 = 0 for v.
35
Solve 53*f = 592 - 716 + 1555 for f.
27
Solve -82*y - 11335 = -10843 for y.
-6
Solve 159*n = -103 + 421 for n.
2
Solve -18*n - 15*n + 8 = -355 for n.
11
Solve -65*d - 396 - 189 = 0 for d.
-9
Solve 42*p - 399 = 63*p for p.
-19
Solve -51 - 74 = -6664*p + 6639*p for p.
5
Solve 333 = 43*d - 80*d for d.
-9
Solve -710 + 827 = -13*b for b.
-9
Solve -9131*f = -9099*f + 96 for f.
-3
Solve 926*d - 466*d + 44 = 471*d for d.
4
Solve 0 = -148*p - 1362 - 1894 for p.
-22
Solve 205*g - 120*g - 85 = 0 for g.
1
Solve -228*y + 724 + 68 = -327*y for y.
-8
Solve 432*s - 405*s - 540 = 0 for s.
20
Solve -5 = -4*p + 1 + 6 for p.
3
Solve -258*s + 65 = -253*s for s.
13
Solve 5494 = -1687*c + 1110*c - 2584 for c.
-14
Solve -32*k - 72*k = 0 for k.
0
Solve 10498 + 2102 = -504*q for q.
-25
Solve 307*s - 187*s + 529 = 2209 for s.
14
Solve -2617 + 797 = -455*p for p.
4
Solve -5878*i + 5772*i = 3392 for i.
-32
Solve -182*h = -55*h + 2032 for h.
-16
Solve 0 = 4*x - 212*x + 832 for x.
4
Solve 44*x - 8*x = -339*x + 3750 for x.
10
Solve 0 = -27*c + 4223 - 3926 for c.
11
Solve -1308813 = 42*x - 1309947 for x.
27
Solve -224*v - 658 - 458 = 1796 for v.
-13
Solve -5256 = 216*x - 713*x + 3193 for x.
17
Solve 0 = -7*q - 5*q - 9*q + 42 for q.
2
Solve -115*f - 429 = -631 - 2213 for f.
21
Solve 138*l - 315 = 117*l for l.
15
Solve 155*r = 417*r + 178*r - 7920 for r.
18
Solve 3*h - 4 + 9 = 11 for h.
2
Solve 0 = 21*y - 0 + 273 for y.
-13
Solve 309 = 2*t + 313 for t.
-2
Solve -268 = 80*t + 179 - 47 for t.
-5
Solve -5*s - 198 = 4*s + 18 for s.
-24
Solve -1181 + 929 = 12*r for r.
-21
Solve -53*g - 60*g = -g - 336 for g.
3
Solve -42*g + 23 = -g + 187 for g.
-4
Solve 108*s = 59 + 998 + 779 for s.
17
Solve -10*l - 727 = -32*l - 1013 for l.
-13
Solve 124 - 460 = 29*r - 85*r for r.
6
Solve -212*m = -192*m + 120 for m.
-6
Solve 21413 = -98*b + 17787 for b.
-37
Solve -80*y = -57*y - 23 for y.
1
Solve 69*q + 342 = 480 for q.
2
Solve 0 = 3905*p - 3569*p + 3696 for p.
-11
Solve 1588*x - 20480 = -140*x + 3712 for x.
14
Solve 29*w = 11*w + 10*w + 3*w for w.
0
Solve 22082 = -2378*f - 9196 - 4392 for f.
-15
Solve 0 = -654*i + 8300 + 856 for i.
14
Solve -93*m - 6*m - 758 = 430 for m.
-12
Solve 128 = 53*n + 75 for n.
1
Solve 6*m + 13 = -20 - 27 for m.
-10
Solve -20*c + 49 + 33 = -118 for c.
10
Solve 105 = 995*l - 9425 - 6390 for l.
16
Solve -178*f + 1384 = -574 for f.
11
Solve 82*p + 72*p + 336 = 126*p for p.
-12
Solve 330989 - 330807 = -14*r for r.
-13
Solve 0 = 10*a + a - 33 for a.
3
Solve -74 = b - 64 for b.
-10
Solve 100*t + 1367 + 589 = 556 for t.
-14
Solve 1109 = -62*l + 83 - 28 for l.
-17
Solve 96*p - 3*p + 1870 = 8*p for p.
-22
Solve 9 = 14*m - 6 + 1 for m.
1
Solve 0 = -1084*j + 1081*j + 33 for j.
11
Solve -215*j + 4356 = -159 for j.
21
Solve -53237*c + 53067*c - 1700 = 0 for c.
-10
Solve 414 = 283*v - 435 for v.
3
Solve -33 - 96 = 40*a - 49 for a.
-2
Solve -156*z - 1204 = -70*z for z.
-14
Solve -6*t + 223162 - 223186 = 0 for t.
-4
Solve -336 = -51*d + 785 - 254 for d.
17
Solve 51*k = 61*k - 70 for k.
7
Solve 74*a = -1 + 149 for a.
2
Solve 240 = -46*l - 67 - 199 for l.
-11
Solve -54*j - 152 - 39 | {
"pile_set_name": "DM Mathematics"
} |
*u**2
Let x(w) = 29915826 - 2*w**2 - 29915826. Let s(p) = -40*p + 2. Calculate s(x(d)).
80*d**2 + 2
Let d(c) = 37*c**2. Let v(y) = -196*y + 85. Let s(g) = -97*g + 34. Let k(z) = 5*s(z) - 2*v(z). Give k(d(x)).
-3441*x**2
Let f(u) = -10*u. Let t be (-2 - 6/(-3))/2. Let k(x) = -2*x + 0*x + t*x. Determine f(k(p)).
20*p
Let f(y) be the third derivative of -y**5/60 + 3*y**2. Let d = -674 - -706. Let x(p) = -d*p - 30*p + 44*p - 48*p. Determine f(x(a)).
-4356*a**2
Let l(h) = -2249*h - 6. Let a(s) = -692625*s - 1847. Let b(j) = -6*a(j) + 1847*l(j). Let t(d) = -2*d**2. Give t(b(y)).
-6822818*y**2
Let v be (-2*2)/1 + (50 - 22). Let t(a) = 19*a**2 - 67*a**2 + 23*a**2 + v*a**2. Let n(f) = -38*f**2 - f + f. Calculate t(n(i)).
-1444*i**4
Let v(h) be the third derivative of -h**5/30 + 2689*h**2. Let y(m) = 2371*m. What is v(y(r))?
-11243282*r**2
Let k(r) = 2361*r. Let u(j) be the second derivative of -j**3/6 + 403*j + 2. Determine k(u(z)).
-2361*z
Let v(h) = 27*h**2. Let f(r) = r**2 + 3*r - 7. Let s(c) = 32*c**2 - 6*c + 13. Let l(q) = 2*f(q) + s(q). Calculate v(l(j)).
31212*j**4 - 1836*j**2 + 27
Let g(r) = -563*r - 6. Let z(j) = 80*j - 2. Determine g(z(n)).
-45040*n + 1120
Let k(n) be the third derivative of n**5/60 + n**4/8 - 5*n**3/3 + 11*n**2. Let d be k(3). Let u(l) = -3*l + 9*l - d*l. Let g(r) = 18*r**2. What is g(u(h))?
72*h**2
Let o(m) = 1273165*m**2. Let s(a) = -8*a**2. Give o(s(b)).
81482560*b**4
Let u(z) = 6979277*z**2. Let r(f) = 2*f. What is r(u(l))?
13958554*l**2
Let n(t) = -5*t. Let x(i) = -i**2 + 1184*i + 180. Give x(n(w)).
-25*w**2 - 5920*w + 180
Let i(k) = -6*k. Let w = -377 + 565. Suppose -6*v = -2*v - w. Let d(u) = 23 + 2*u - v + 24. Give i(d(a)).
-12*a
Let k(d) be the first derivative of -11*d**2/2 - 10843. Let w(m) = -729*m. Give w(k(o)).
8019*o
Let u(o) = -186*o + 1. Let b(y) = -8*y - 3. Let z(l) = 55*l + 22. Let c(a) = 22*b(a) + 3*z(a). What is c(u(n))?
2046*n - 11
Let u(y) = y**2 + y + 2. Let l be u(-2). Suppose 6 = l*x + 2*a - 2, 3*x - 2*a - 20 = 0. Let s(w) = -2 + 2 - x*w + 5*w. Let g(o) = -23*o. Determine g(s(m)).
-23*m
Let x(m) = 112*m**2 - 17 - 12 - 15 + 56 - 10. Let r(g) = 212*g**2 - 415*g**2 + 202*g**2. Calculate r(x(t)).
-12544*t**4 - 448*t**2 - 4
Let u(j) be the second derivative of j**6/45 + j**4/6 - j. Let b(q) be the third derivative of u(q). Let c(i) = 18 - 3 + 2*i - 15. What is b(c(k))?
32*k
Let n(a) = -87*a + 6. Let b(d) = 4*d - 243. Let l(u) = -u + 54. Let i(m) = 2*b(m) + 9*l(m). Determine i(n(f)).
87*f - 6
Suppose 11 = a + 16. Let d(n) = -2*n. Let i(o) = o**2 + 10*o. Let y(z) = a*d(z) - i(z). Let l(k) be the second derivative of 3*k**4/4 - 3*k. What is y(l(u))?
-81*u**4
Suppose -2*t = 2*s - 14, -2*t = -s + 6*s - 29. Let a = 1629 + -1625. Let r(i) = 12*i - a*i - s*i. Let h(w) = 12*w**2. Calculate r(h(b)).
36*b**2
Let t(l) = -13*l. Let o(c) = -34381512*c**2. What is t(o(f))?
446959656*f**2
Let g(j) be the first derivative of 1321*j**3/3 - 3109. Let l(r) = 3*r. What is l(g(d))?
3963*d**2
Let y(m) = 8 - 3087*m - 3 + 3093*m. Let w(x) = 2*x - 31. What is w(y(i))?
12*i - 21
Let n(f) be the first derivative of 0*f**2 + 2/3*f**3 - 56 + 0*f. Let b(y) = -29*y - 1. Calculate n(b(l)).
1682*l**2 + 116*l + 2
Let z(n) = -471*n - 13. Let i(h) = 5195*h. Calculate i(z(p)).
-2446845*p - 67535
Let h(m) = -2*m - 2. Let o(p) = 66*p + 36. Let r(c) = 36*h(c) + 2*o(c). Let n(k) = -16*k**2 + k. Give n(r(d)).
-57600*d**2 + 60*d
Let k(d) = -2591*d**2. Let y(h) = -4*h + 17. Determine y(k(f)).
10364*f**2 + 17
Let x be (6 - 99)*-1 - 7. Let r(p) = -x*p + 46*p + 44*p. Let o(g) be the first derivative of -2*g**2 - 1. Calculate o(r(l)).
-16*l
Let s(i) be the first derivative of i**5/60 - 41*i**3/3 - 47. Let h(u) be the third derivative of s(u). Let p(l) = -3*l**2 + 14*l. Give p(h(r)).
-12*r**2 + 28*r
Let s(c) = 0*c - 4*c + 5*c. Let a(w) = 8*w - 9*w + 81*w**2 - 127*w**2. Give a(s(l)).
-46*l**2 - l
Let m(u) = 6*u**2 - 10*u**2 + 3*u + 0*u**2 - 4*u**2 - 6*u**2. Let n(l) be the first derivative of -l**3 + 5. What is n(m(d))?
-588*d**4 + 252*d**3 - 27*d**2
Let j(l) = -5*l**2 + 5*l + 3. Let w(g) = -1. Let r(z) = j(z) + 3*w(z). Let d(f) = 2*f + 6. Let q(t) = -3*t - 12. Let y(k) = -2*d(k) - q(k). What is y(r(x))?
5*x**2 - 5*x
Let u(i) = -61*i**2 - 585*i - 576*i + 1739*i - 578*i. Let q(s) = s**2 + 3*s**2 + 0*s**2 - s**2. Determine u(q(m)).
-549*m**4
Let f(g) = 12*g**2 - 9*g. Let r(s) be the first derivative of -s**5/30 + 38*s**2 - 25. Let h(b) be the second derivative of r(b). What is f(h(y))?
48*y**4 + 18*y**2
Let c(n) = 75*n**2 + 42*n - 14. Let q(i) = 1763*i**2 + 984*i - 328. Let d(g) = -164*c(g) + 7*q(g). Let o(m) = -19*m. Give d(o(b)).
14801*b**2
Let d(i) = i + 3. Let z(o) = -o - 4. Let c(h) = -4*d(h) - 3*z(h). Let u(y) be the third derivative of y**5/6 - y**3/6 + y**2 - 47. What is c(u(j))?
-10*j**2 + 1
Let y(q) = 361 + 799*q - 361 - 28*q. Let o(p) = -2*p. What is o(y(k))?
-1542*k
Let h(k) = -78*k. Let j(w) be the second derivative of -w**3/6 + 366*w. Calculate h(j(v)).
78*v
Let c(l) = -4*l - 21. Let p(g) = 74*g - 223*g + 84*g + 72*g. Calculate c(p(v)).
-28*v - 21
Let k(o) be the first derivative of o**3/3 + 2856. Let t(a) = -a**2 - 2811. Calculate k(t(m)).
m**4 + 5622*m**2 + 7901721
Let y(u) = 35559*u. Let s(a) = 1106*a. What is y(s(r))?
39328254*r
Let z(l) = 32866*l**2 + 168*l. Let y(p) = -p. Calculate z(y(t)).
32866*t**2 - 168*t
Let s(b) = b**2. Let j(h) = 4*h**3 + 6*h**2 - 8*h + 16. Let v be j(5). Let c(t) = -v*t - 17 - t**2 + 314*t + 312*t. Calculate c(s(k)).
-k**4 - 17
Let a(r) = r**2. Let n(l) be the third derivative of 0 + 0*l**3 + 0*l - 79/4*l**4 + 169*l**2. Give n(a(x)).
-474*x**2
Let v(n) = -3387*n + 1843*n - 4653*n + 195*n - 2014*n. Let b(q) = q**2. Determine b(v(z)).
64256256*z**2
Let a be 1*6/(-15)*(-13 + 3). Suppose d = 5*d + 3*g - 2, -2*d - g = -2. Let f(x) = -a - 2*x + d + 2. Let r(q) = -14*q**2. Give f(r(y)).
28*y**2
Let s(x) = 2*x**2. Let h(r) = 68759604*r**2. Calculate s(h(g)).
9455766284473632*g**4
Let n(s) = -973431*s. Let v(k) = -239*k. What is v(n(y))?
232650009*y
Let q(g) = 2*g**2. Let w(a) = -321738532*a. Determine q(w(n)).
207031365947030048*n**2
Let n(q) be the second derivative of -q**4/12 - 127*q. Let p(a) be the first derivative of a**2 - 15 + 16 - 3*a**2. What is p(n(r))?
4*r**2
Let b(w) = -17*w + 1. Let n(p) be the second derivative of 0*p**3 + 0*p**2 + 26*p - 1/12*p**4 + 1. Determine b(n(a)).
17*a**2 + 1
Let l(i) = -231*i + 1. Let y(m) = -463*m + 2. Let r(v) = -4*l(v) + 2*y(v). Let j(a) = -17*a**2 - 76*a. Calculate j(r(q)).
-68*q**2 + 152*q
Let h(b) = 4*b. Let u(k) be the first derivative of 0*k + 19/2*k**2 + 142. Determine u(h(z)).
76*z
Let u(z) be the third derivative of -3*z**2 + 0 - 1/24*z**4 + 0*z**3 + 0*z. Let y(d) = 1264*d**2 - 603*d**2 - 624*d**2. Determine y(u(s)).
37*s**2
Let h(y) be the first derivative of y**5/15 + y**2 - 29*y - 96. Let d(p) be the second derivative of h(p). Let x(t) = -2*t**2 - 5. Determine d(x(a)).
16*a**4 + 80*a**2 + 100
Let d(i) = 6485*i**2 + 75*i - 600. Let r(k) = 608*k**2 + 7*k - 56. Let w(f) = -7*d(f) + 75*r(f). Let x(l) = -17*l**2. Calculate x(w(o)).
-714425*o**4
Let g(f) = 7*f**2. Let h(z) = 223*z + 35. Let m(d) = 10*d + 2. Let a(x) = -h(x) + 15*m(x). Give g(a(s)).
37303*s**2 + 5110*s + 175
Let s(n) = -2*n**2 + 25*n. Let j(z) = 1124*z + 1121*z - 3363*z + 1221*z. Calculate s(j(d)).
-21218*d**2 + 2575*d
Let l(w) = -13455*w. Let q(y) = 6314*y - y**2 + 6319*y - 12633*y. Determine l(q(b)).
13455*b**2
Let z(n) = -n. Let w(b) be the first derivative of -28 - 30*b + 0*b**2 + 19/3*b**3. Let h(a) be the first derivative of w(a). Calculate h(z(p)).
-38*p
Let w(j) = 50709611*j. Let t(h) = -2*h**2. Give t(w(l)).
-5142929295542642*l**2
Let p(n) be the third derivative of n**4/8 + 2*n**2. Let s(r) = 5*r. Let v = 76 + -91. Let l(y) = -35*y. Let d(t) = v*s(t) - 2*l(t). Give p(d(h)).
-15*h
Let x(a) = a**2. Let j(c) = -176*c - 53. Let n(g) = -81*g - 25. Let i(q) = 6*j(q) - 13*n(q). Give i(x(w)).
-3*w**2 + 7
Let a(m) = -31*m + 70. Let c(w) = 18*w - 40. Let y(b) = -4*a(b) - 7*c(b). Let s(k) = -k**2 + 156. Calculate s(y(d)).
-4*d**2 + 156
Let h(j) = 22*j. Let v(n) = -237*n + 67 + 78*n + 79*n - 47 + 91*n. What is h(v(g))?
242*g + 440
Let n(u) = -75*u. Let d(k) = -190*k + 71. Determine d(n(y)).
14250*y + 71 | {
"pile_set_name": "DM Mathematics"
} |
Let x = -4466 - -4517. What is the remainder when 1047 is divided by x?
27
Let r = 1163 + -1150. Suppose 18 = 4*w - 18. What is the remainder when 4*w - (-5)/5 is divided by r?
11
Suppose -q + 330 = 4*q. Suppose -5*i + q = -219. Suppose 164 = 18*n - 52. What is the remainder when i is divided by n?
9
Suppose -4*q = 4, 8 = 5*l - 4*q - 6. Calculate the remainder when ((-32)/10 - -3)/(l/(-310)) is divided by (-82)/(-5) - (-8)/(-20).
15
Suppose -2*v + r = -5, 0 = v + r - 25 + 21. Suppose -4*b - 4*g + 251 - 35 = 0, -v*g = -b + 38. What is the remainder when b is divided by 21?
8
What is the remainder when 294 is divided by ((-7)/112*-24)/(3/398)?
95
Let p(z) = z**3 + 3*z**2 - 7*z - 1. Suppose -4*k = -3*k + 1. Let h be (4 + k)/1*(-12)/9. What is the remainder when 39 is divided by p(h)?
6
Calculate the remainder when 98 is divided by (-5)/((-7)/35 + (-2 - (-28)/15)).
8
Suppose 0 = -5*c + 25, 4*o - o - 2*c = 1478. Calculate the remainder when o is divided by 12.
4
Let w(g) = 26*g**2 + 6*g - 38. Let u be w(3). Let j = -94 + u. Calculate the remainder when j is divided by 11.
10
Suppose 24*r - 42 = 3*r. Suppose 0 = -r*m + 2*a + 99 + 101, 4*m - 416 = -4*a. What is the remainder when m is divided by 15?
12
Calculate the remainder when (-35688)/(-144) - ((-246)/(-36) - 7) is divided by 119.
10
Let z = 30454 - 30412. What is the remainder when 190 is divided by z?
22
Let z be (-358)/4 - (66/(-12) + 6). Let c = z - -133. What is the remainder when c is divided by 5?
3
Let z = 748 - 488. Suppose 5*a - a = -z. Let t = 108 + a. What is the remainder when t is divided by 15?
13
Suppose 1713*o = 1718*o - 7785. What is the remainder when o is divided by 82?
81
Let o be (1/1)/(2/8). Suppose o*m + 9 = 105. Suppose 0 = 3*l - h - 44, 3*l + h - 10 = 30. What is the remainder when m is divided by l?
10
Let y(k) = -2 - 11*k**2 - k**2 - 5 + k**3 - 2 - 12*k. What is the remainder when 0/(-1) + (-88)/(-4) is divided by y(13)?
2
Suppose z + 4*g - 14 = 0, -12*z + 5*g = -9*z - 25. Suppose 32*m + 1050 = 47*m. What is the remainder when m is divided by z?
0
Let z(x) = 9*x - 37. Let h(v) = -2*v - 10. Let y be h(-8). Let s = 116 + -68. What is the remainder when s is divided by z(y)?
14
Let t be (-50)/(-325) - (-2)/(-13). What is the remainder when (-5*(t - 1))/(8/232) is divided by 30?
25
Suppose 0 = 3*a - 148 + 154. Let n be ((-1385)/(-30) - 0) + a/12. Suppose 5*d - n = -3*x + 17, -31 = -x - 5*d. Calculate the remainder when 125 is divided by x.
13
Suppose -3*r + 18 = 3*z - 12, -2 = -2*r. Let h(v) = 24*v - 194. What is the remainder when 30 is divided by h(z)?
8
Let p(j) = j**2 + 2*j - 2. Let h be p(-2). Calculate the remainder when (190/h)/(-2 - -1) is divided by 16.
15
Let v = 94 - 103. Suppose 0 = -k - 3*f + 71, k = -4*k + 5*f + 295. What is the remainder when k is divided by v/((-36)/8) - (-12 + -2)?
14
Let f be (114/9*-1)/(4/18). Let j = f - -117. Suppose 0 = 3*g - 12 - j. Calculate the remainder when g is divided by 5.
4
Suppose 42*t = 39*t + 18. Let a = 24 - t. Calculate the remainder when 52 is divided by a.
16
Suppose 3*b + 8973 - 26073 = 0. Suppose 28*x - 32*x + b = 0. Calculate the remainder when (x/(-4))/(-5) - (-6)/8 is divided by 25.
22
Let f = 62 + -51. Let n(z) = z**2 + 4*z - 3. Let a be n(-7). Calculate the remainder when 247/6 + (-3)/a is divided by f.
8
Let x be 7/21 + 17/3. Suppose 25*r - 425 = -0*r. Calculate the remainder when ((-94)/x)/((-1)/3) is divided by r.
13
Let s = -6660 + 7587. What is the remainder when s is divided by 155?
152
What is the remainder when 5821 is divided by -2 + (-2298)/(-54) + (-80)/(-180)?
40
Let k(q) = q**3 - 7*q**2 + 10*q - 10. Let b(i) = -26 - 16 + 2*i + 30. Let g be b(9). What is the remainder when 109 is divided by k(g)?
11
Suppose -17*n = 5*w - 21*n - 416, 6*w - 488 = 2*n. What is the remainder when 224 is divided by w?
64
Let n(x) = -x**2 + 29*x + 416. What is the remainder when 718 is divided by n(-10)?
16
Let a(j) = j**3 - 15*j**2 + 7*j - 11. Suppose -5*t - 18 = -3*t. Let l be 1/((-15)/25)*t. What is the remainder when a(l) is divided by 16?
14
Suppose 20 = 2*t + 136*k - 134*k, -k + 30 = 3*t. Calculate the remainder when 3578 is divided by t.
8
Suppose -2*h = 8, 3*h = -197*z + 193*z + 3936. What is the remainder when z is divided by 325?
12
Let k = 666 - 411. Let p = 88 + k. What is the remainder when p is divided by 8?
7
Suppose 5*l = 3*l + 84. Let g(z) = 7*z + 12. Let r be g(9). Suppose 3*x + 2*x - r = 0. What is the remainder when l is divided by x?
12
Let k(c) = c**2 + 17*c + 93. What is the remainder when k(19) is divided by 87?
81
What is the remainder when 358 is divided by (-12)/18*((-693)/(-2))/(-7)?
28
Let m = -15233 + 15317. What is the remainder when 1077 is divided by m?
69
Let b(j) be the second derivative of -4*j**3/3 + 2*j**2 - 4*j. Calculate the remainder when 103 is divided by b(-6).
51
Let r = 8359 - 8219. Calculate the remainder when 421 is divided by r.
1
What is the remainder when 10/(-6)*((-1644)/3 + -7) is divided by 32?
29
Let g = -400 - -614. Suppose -94 = 3*x - g. What is the remainder when 199 is divided by x?
39
Let n(g) = 2*g**2 - 27*g - 601. What is the remainder when n(-13) is divided by 13?
10
Suppose -15821 = -2*w + 5*d, 4*w = 10*d - 5*d + 31657. What is the remainder when w is divided by 99?
97
Suppose -2*c + 386 = -32*h + 34*h, 5*h - 5*c = 905. What is the remainder when h is divided by 83?
21
Let w(l) = -l**2 + 16*l - 20. Let f be w(14). Suppose 15*x = f*x - 126. What is the remainder when (x/(-27))/(-1) - (-89)/3 is divided by 5?
4
Let h be ((-4 - -3)/(-1))/(3/(-138)). Let q = 108 + h. Calculate the remainder when q is divided by 3/2*10 - 2.
10
What is the remainder when 493 is divided by (-25 + 23)/(4/(-968))?
9
Let o = 2584 + -2598. Let r(f) = -6 - 4*f - 14 - 2. Calculate the remainder when r(o) is divided by 9.
7
Let r be (-188)/(-14) + 264/462. Suppose 0 = 7*p + r*p - 588. Suppose 3*f - 113 = 298. Calculate the remainder when f is divided by p.
25
Let o be 25*-5 - (-48)/(-8). Let q = 163 + o. Calculate the remainder when q is divided by 17.
15
Let h be (4 + -4)/(-7)*(-2)/4. Let l = 9 + 2. Suppose -6*t + l*t - 405 = h. Calculate the remainder when t is divided by 28.
25
Suppose -54*t + 16 = -50*t. Suppose -13*z + 16*z = k - 77, -2*z = -t*k + 338. Calculate the remainder when k is divided by 26.
8
Let r(s) = -27*s + 43. Let h be r(-9). Suppose -5*m - 17*m + h = 0. Calculate the remainder when 1 - 2 - -1 - -48 is divided by m.
9
Calculate the remainder when 548 is divided by (-1946)/(-32) - (-744)/3968.
60
Let x(r) = -13 - 18*r - 13 + 51*r. Let v be x(4). Let k = 125 - v. Calculate the remainder when 48 is divided by k.
10
Let f = 73 + -59. Suppose 7*p = -4*p + 704. What is the remainder when p is divided by f?
8
Suppose 9*h + 144 = -0*h. Calculate the remainder when 24 is divided by -4 - h/4 - -5.
4
Let o(a) = -9 + a**3 - 17*a**2 - 3*a**2 + a - 14*a**3 + 14*a**3. What is the remainder when 46 is divided by o(20)?
2
Let d = -1542 + 683. Let b = 1047 + d. Suppose 4*h - 26 = 5*t - 80, 0 = t - 3*h - 13. What is the remainder when b is divided by t?
8
Let x(p) = -13*p - 195. Let c(v) = 2*v + 2. Let z(d) = -c(d) - x(d). Calculate the remainder when 19 is divided by z(-17).
1
Suppose 4*l - 112 = 18*l. Let x(h) = 2*h**2 + 8*h - 8. Calculate the remainder when x(l) is divided by 20.
16
Suppose 2*x = -3*m + 432, 101 + 43 = m - 2*x. Let l = 199 - m. What is the remainder when l is divided by 5?
0
Let t(h) be the first derivative of -27*h**2/2 - 6*h + 9. Let v be t(-1). Calculate the remainder when 56 is divided by 7/v + (-29)/(-3).
6
Let h = -3761 + 3765. Calculate the remainder when 365 is divided by h.
1
What is the remainder when (6 + -14 - -879) + 11 is divided by 26?
24
Let p(s) = 21*s**2 - 105*s - 794. What is the remainder when p(-7) is divided by 18?
16
Let p(l) = -22*l + 235. Suppose -5*o = -3*o - 3*j - 101, -o = 4*j - 34. Let f = o - 11. Calculate the remainder when p(6) is divided by f.
33
Suppose -2*y - 93 = -993. What is the remainder when y is divided by 147?
9
Suppose y + y = -4*i + 330, -75 = -i - 3*y. Let c = -62 + 72. Suppose 3*o + c - 1 = 0, 2*s + o - 41 = 0. What is the remainder when i is divided by s?
18
Suppose -3*t + 2*j + 2114 = 0, 2*t + 7*j - 1384 = 2*j. Calcu | {
"pile_set_name": "DM Mathematics"
} |
16*-4 + (54/12 - 4). Let i(m) be the second derivative of -5/12*m**4 - 5*m**3 + w*m**2 - 24*m + 0. Solve i(q) = 0 for q.
-7, 1
Let i(g) be the first derivative of g**4/6 + 11*g**3/9 + 13*g**2/6 + 4*g/3 + 366. Factor i(x).
(x + 1)*(x + 4)*(2*x + 1)/3
Let k be 168/(-48)*(-6)/360. Let z(j) be the second derivative of -1/24*j**3 - 1/4*j**2 + k*j**6 - 19/80*j**5 + 0 + 5/16*j**4 - 7*j. Factor z(p).
(p - 1)**3*(7*p + 2)/4
Let a(b) be the first derivative of 2*b**5/15 - 14*b**4 + 110*b**3/3 - 82*b**2/3 - 2384. What is h in a(h) = 0?
0, 1, 82
Let l(c) be the first derivative of 1/10*c**4 + 0*c - 17/5*c**2 - 32/15*c**3 - 170. Factor l(d).
2*d*(d - 17)*(d + 1)/5
Let y(i) = -2*i**2 + 2*i - 2. Let j(l) = 7*l**2 + 2806*l + 1976842. Let g(w) = j(w) + 3*y(w). Factor g(r).
(r + 1406)**2
Let y(n) = -n**3 - 9*n**2 - 2*n - 20. Let a be y(-9). Let w be (a/(20/6))/(73/(-365)). Factor -72*h**3 - 4*h**w + 106*h**2 + 18*h**4 - 44*h - 10*h - 2*h + 8.
2*(h - 2)*(h - 1)**2*(9*h - 2)
Let t(l) be the second derivative of -27*l**5/100 - 17*l**4/10 + 436*l**3/5 - 288*l**2/5 - 2286*l. Suppose t(x) = 0. Calculate x.
-12, 2/9, 8
Suppose 0*h**2 + 5900*h + 2*h**2 - 5768*h + 2178 = 0. Calculate h.
-33
Let b(m) be the third derivative of 11*m**2 + 1078/45*m**5 + 0*m + 0 + 8/9*m**3 + 343/10*m**7 + 56/9*m**4 + 686/15*m**6. Suppose b(i) = 0. What is i?
-2/7, -2/21
Let u(g) = -9*g**4 + 1297*g**3 + 2901*g**2 + 1899*g + 292. Let x(c) = -c**3 + 2*c**2 - c. Let r(i) = -2*u(i) - 6*x(i). Determine h, given that r(h) = 0.
-1, -2/9, 146
Let z(i) be the second derivative of 1/50*i**6 - 3/20*i**4 + 1/5*i**2 + 1/100*i**5 + 1/10*i**3 - 103*i + 0. Factor z(u).
(u - 1)**2*(u + 2)*(3*u + 1)/5
Suppose 42294*u - 24 = 42288*u. Factor 4/3*p**2 + 8/3*p - u.
4*(p - 1)*(p + 3)/3
Factor 54 + 2/5*k**3 + 222/5*k - 46/5*k**2.
2*(k - 15)*(k - 9)*(k + 1)/5
Let k(r) = -17*r - 93. Let m be k(-6). Suppose -5*q + z = -15, -8*q - 4*z = -m*q - 16. Find p, given that 0 + 1/6*p**q - 1/3*p - 1/2*p**2 + 0*p**3 = 0.
-1, 0, 2
Let o = -1120703 + 1120713. Solve -11/3*x + o + 1/3*x**2 = 0 for x.
5, 6
Let w(a) = 1605*a**2 - 1590*a + 9. Let b(k) = -7*k - 1. Let s(f) = 3*b(f) + w(f). Determine p so that s(p) = 0.
2/535, 1
Let h = -30883/279 + 3459/31. Find v, given that h*v + 0 + 4/9*v**3 + 4/3*v**2 = 0.
-2, -1, 0
Suppose -9*x + 177 = -165. Suppose -2*g = 4*t - x, 5*t - 31 = g - 2*g. Let -3*o**2 + 7*o**2 - 16 + g*o + o = 0. What is o?
-4, 1
Suppose -8*g = 13682 - 2490. Let s = -1396 - g. Suppose -3/7*u**2 + 0*u**s + 0 + 2/7*u + 1/7*u**4 = 0. Calculate u.
-2, 0, 1
Find v, given that 0 - 2/3*v**3 - 2/3*v**4 + 16/3*v**2 + 8*v = 0.
-2, 0, 3
Let u be 1 + (-1)/(3/18*-2). Determine y so that 5 - 947*y**4 - 10*y**2 - 936*y**u + 1888*y**4 = 0.
-1, 1
Let j(d) = 4*d**3 + 44*d**2 + 81*d + 36. Let u(b) = -2*b**3 - 22*b**2 - 40*b - 18. Let k = 98 - 100. Let h(y) = k*j(y) - 5*u(y). Factor h(w).
2*(w + 1)**2*(w + 9)
Let q(n) be the third derivative of n**8/840 - n**7/420 - n**6/45 + n**5/15 + 25*n**3/3 - 3*n**2 - 13*n. Let m(b) be the first derivative of q(b). Factor m(r).
2*r*(r - 2)*(r - 1)*(r + 2)
Suppose -3/4*z**3 + 87/2 - 351/4*z + 45*z**2 = 0. Calculate z.
1, 58
Suppose 1/4*g**3 - 1587/2 - 13*g**2 + 805/4*g = 0. Calculate g.
6, 23
Let v(m) be the second derivative of -m**9/7560 - m**8/240 + m**7/84 - m**4/4 - m**2 - 119*m. Let p(f) be the third derivative of v(f). Solve p(d) = 0.
-15, 0, 1
Let c(a) be the third derivative of -5*a**8/336 + 3*a**7/14 - 5*a**6/8 + 7*a**5/12 + 700*a**2. Factor c(u).
-5*u**2*(u - 7)*(u - 1)**2
Suppose 0 = 4*i + 48, 0 = -2*f + 4*i + 6*i - 5*i + 76. Factor -2/3*g**2 + f*g + 26/3.
-2*(g - 13)*(g + 1)/3
Let r(m) be the first derivative of m**2 - 1/6*m**4 + 13 + 15*m + 1/20*m**5 - 1/6*m**3. Let q(k) be the first derivative of r(k). Factor q(n).
(n - 2)*(n - 1)*(n + 1)
Let n(g) = g**3 - 1132*g**2 + 75983*g + 588826. Let m(z) = 2*z**3 - 1132*z**2 + 75982*z + 588784. Let y(s) = 3*m(s) - 2*n(s). Factor y(o).
4*(o - 145)**2*(o + 7)
Let b(m) be the second derivative of -m**7/210 - 2*m**6/75 - m**5/20 - m**4/30 + m - 332. Let b(i) = 0. Calculate i.
-2, -1, 0
Let g be ((-33)/((-726)/308))/(6 + 5). Let g*b**2 + 6/11 + 16/11*b + 4/11*b**3 = 0. Calculate b.
-3/2, -1
Let b(m) be the first derivative of -m**4/126 + 4*m**3/7 - 108*m**2/7 + 91*m - 141. Let j(y) be the first derivative of b(y). Suppose j(g) = 0. What is g?
18
Let b(l) be the first derivative of -16 + 2/5*l**5 + 0*l**2 + 0*l**3 + 1/15*l**6 + 2/3*l**4 - 21*l. Let c(t) be the first derivative of b(t). Factor c(i).
2*i**2*(i + 2)**2
Let c(n) be the third derivative of 19*n - 25/33*n**3 + 1/660*n**6 - 1/30*n**5 - n**2 + 35/132*n**4 + 0. Determine g so that c(g) = 0.
1, 5
Let k(i) be the second derivative of 1/4*i**4 - 1/14*i**7 + 6*i**2 - 4 + 4*i**3 + 6*i - 21/20*i**5 - 1/2*i**6. Find l such that k(l) = 0.
-2, -1, 1
Suppose -5*c = -5*r - 95, 2*r = -2*c + 7*r + 53. Factor 18 - 2 - 9*q**2 - c*q + 7*q**2.
-2*(q - 1)*(q + 8)
Determine m, given that -1060*m**3 + 1160 - 2920*m - 5/2*m**5 + 2660*m**2 + 325/2*m**4 = 0.
1, 2, 58
Let s(l) be the third derivative of l**6/30 + 88*l**5/15 - 271*l**4/6 + 364*l**3/3 + 101*l**2 - l. Factor s(b).
4*(b - 2)*(b - 1)*(b + 91)
Let f(a) = 10*a**2 - 3*a - 1. Let z be f(-2). Suppose 48*b - z*b = 12. Factor b*n**2 + 2*n**2 + 16*n - 7*n**2 - 16 - 3*n**2.
-4*(n - 2)**2
Let o(w) be the third derivative of 3*w**6/10 + 632*w**5/15 + 682*w**4/3 + 544*w**3/3 + 1195*w**2. Factor o(m).
4*(m + 2)*(m + 68)*(9*m + 2)
Let m be 64/612 + 38*(-21)/(-6783). Factor 10/9*p - m*p**2 + 4/3.
-2*(p - 6)*(p + 1)/9
Suppose 24*s + 37 = 2*s + 169. Let p(y) be the first derivative of 0*y**4 + 6/25*y**5 - 1/10*y**s - 2/5*y**3 + 0*y + 3/10*y**2 + 22. Factor p(b).
-3*b*(b - 1)**3*(b + 1)/5
Let w be (-73)/(-5) - (-52)/130. Let y(x) = x**2 - 22*x + 105. Let h be y(w). Factor 1/2*q**3 + h + 1/2*q + q**2.
q*(q + 1)**2/2
Suppose -t - t = -10. Let x(u) = 200*u + 402. Let r be x(-2). Find b such that -6*b + 3*b - b**r - t*b - 3*b**2 = 0.
-2, 0
Let p be -3 + ((-39)/(-15) - -1). Let y be 8460/144 + -59 - 41/(-20). Factor -p - y*u**3 + 9/5*u + 3/5*u**2.
-3*(u - 1)*(u + 1)*(3*u - 1)/5
Suppose -4*u = -20, 0 = 5*h - 7*u + 4*u + 15. Let k(g) = g**3 - g**2 - 2*g + 2. Let c be k(h). Factor y - 8*y**2 + 0*y**c - 3*y.
-2*y*(4*y + 1)
Let 1387*v**2 + 210 + 44*v**4 - 167*v**2 - 34*v**4 - 15*v**5 + 369*v**3 + 101*v**3 + 739*v + 246*v = 0. What is v?
-3, -2, -1, -1/3, 7
Let t(x) be the third derivative of x**2 - 26 + 0*x**4 + 1/420*x**7 + 0*x + 0*x**3 - 1/240*x**6 - 1/60*x**5. Factor t(z).
z**2*(z - 2)*(z + 1)/2
Factor 131220 - 810*r + 5/4*r**2.
5*(r - 324)**2/4
Suppose -13*i + 22*i = 27. Find h, given that 16*h**3 - 40*h**2 + 36*h**i - h**4 - 20*h - 77*h**3 - 4*h**4 = 0.
-2, -1, 0
Let n(t) = -12*t**2 - 1. Let r(w) = 70*w**2 + 114*w + 122. Let k(c) = 6*n(c) + r(c). Factor k(j).
-2*(j - 58)*(j + 1)
Let y(d) be the first derivative of -d**4/24 + d**3/2 - 7*d**2/6 + 14365. Solve y(t) = 0.
0, 2, 7
Let x(l) be the first derivative of -37/35*l**5 + 84 + 3*l**4 + 0*l + 8/7*l**2 - 68/21*l**3 + 5/42*l**6. Suppose x(d) = 0. What is d?
0, 2/5, 1, 2, 4
Let s(d) be the second derivative of d**4/30 - 194*d**3 + 423405*d**2 + 6*d - 75. Solve s(h) = 0 for h.
1455
Let a(g) be the first derivative of -50*g - 98 - 5/3*g**3 + 35/2*g**2. Let a(r) = 0. What is r?
2, 5
Suppose 28*a - 27*a = -85*a + 172. Let y(v) be the second derivative of -1/6*v**4 - 4*v**a - 4/3*v**3 + 0 - 37*v. Factor y(o).
-2*(o + 2)**2
Let a(g) = -2*g**2 - 2585*g - 90466. Let p be a(-36). Factor -84/11*l + 0 - 2/11*l**p.
-2*l*(l + 42)/11
Let p be (-931)/(-28) + -37 + 6 + 0. Find v, given that v**4 + p*v**3 + 0 + 1/4*v + 3/2*v**2 = 0.
-1, -1/4, 0
Let r = -223 - -227. Suppose -10*m**3 + 10*m - 255*m**4 + 123*m**4 - 4 + 10*m**2 + 126*m**r = 0. Calculate m.
-2, -1, 1/3, 1
What is n in -18*n - 36*n**2 + 42*n + 74*n**3 + 144 - 6*n**4 - 200*n**2 = 0?
-2/3, 1, 6
Suppose -3*w = 13*w - 192. Factor 4*b**5 - 64*b - 388*b**4 - w*b - 36 + 432*b**4 - 8*b**2 + 72*b**3.
4*(b - 1)*(b + 1)**3*(b + 9)
Factor -2764/9 + 1378/9*c + 2/9*c**2.
2*(c - 2)*(c + 691)/9
Find y such that 106/15*y**3 - 34/15*y - 22/5*y**2 + 0 - 2/5*y**4 = 0.
-1/3, 0, 1, 17
Let g(x) be the third derivative of -x**5/12 + 565*x**4/12 + 2300*x**3/3 - x**2 + 2302*x. Factor g(j).
-5*(j - 230)*(j + | {
"pile_set_name": "DM Mathematics"
} |
+ 29*b**2 - 8*b**2 + 66 - 5*b + 72*b**2 - 126 wrt b?
186
Let m(v) be the first derivative of -34*v**2 - 56/3*v**3 + 59 + 0*v. What is the second derivative of m(h) wrt h?
-112
Suppose 0*u = 4*u, 0 = -3*y + 4*u + 12. Let l = 6 - 2. Find the second derivative of 17*n + 19*n**4 - 3*n**l - y*n wrt n.
192*n**2
What is the third derivative of 90 - 98*l**2 + 19*l**2 - 7961*l**6 + 18*l**2 + 33*l**2 + 24*l**2 wrt l?
-955320*l**3
Let a be 0 + -3 + 5 - (2 - 2). Suppose 3*j = x + 2, -a*j = 5*x + j - 26. Differentiate 0*y**4 - 9*y**4 + 25 - 4 - 13*y**x wrt y.
-88*y**3
Let y = -53 + 71. What is the third derivative of -8*w**6 + 24 - 2*w**2 - 64 + w**3 + 25 + y wrt w?
-960*w**3 + 6
Suppose -5*u + 13*u - 32 = 0. Suppose 3*x - u*l - 96 = 0, -3*x - 2*l + l + 111 = 0. Find the third derivative of x*v**4 - 8*v**2 - 8*v**2 - 7*v**4 wrt v.
696*v
Let u = 460 + -456. Find the second derivative of -3 - 2*b**2 + 4 - u - 2058*b + 2065*b wrt b.
-4
Let g(h) be the third derivative of -7*h**6/60 - h**5/60 - 3*h**4/8 - 797*h**3/2 - 451*h**2 + h. What is the first derivative of g(f) wrt f?
-42*f**2 - 2*f - 9
Let u = -132 - -134. Find the second derivative of 119*z**2 - 236*z**2 - 11*z**3 + 2 + 41*z + 118*z**u wrt z.
-66*z + 2
Let t = 86 + -44. Suppose -38 = 2*i - t. Differentiate -6*w**2 - 7 + 19*w**i - 7 with respect to w.
26*w
Let a(i) be the second derivative of 19*i**2 + 59/12*i**4 + 1 + 20*i + 0*i**3. Differentiate a(j) wrt j.
118*j
Let k(n) be the first derivative of -117/2*n**2 + 179 + 0*n + 0*n**4 - 1/5*n**5 - 80/3*n**3. What is the second derivative of k(o) wrt o?
-12*o**2 - 160
Let p = -191 + 257. Find the first derivative of -68*g + 1 + 16 - p - 56 wrt g.
-68
What is the third derivative of 2856*v**6 - 5399*v**2 - 495*v**6 - 7281*v**2 wrt v?
283320*v**3
What is the derivative of -426 - 319*s**3 - 473 - 63 - 2249*s**3 - 194*s**3 wrt s?
-8286*s**2
Let p(y) = 1123*y**3 - 6*y**2 + 846. Let c(o) = 1121*o**3 - 8*o**2 + 845. Let z(h) = -3*c(h) + 4*p(h). Differentiate z(f) with respect to f.
3387*f**2
Find the third derivative of -10755*k**2 + 10*k - 4*k - 6*k - 624*k**3 + 3876*k**2 wrt k.
-3744
Let x(u) be the first derivative of u**4/2 - 8*u**3/3 - 130*u**2 + 2164*u + 11186. Differentiate x(m) wrt m.
6*m**2 - 16*m - 260
Let b(w) be the first derivative of 569*w**4/4 - 56*w**3 - 3553. What is the third derivative of b(u) wrt u?
3414
Let o = 12305 - 12303. Let b = -1 + 2. Differentiate -7 + 38*c**o + b - 24 + 5 with respect to c.
76*c
Let w(r) = 3663*r - 1342. Let u(i) = -1838*i + 671. Let p(x) = -7*u(x) - 4*w(x). Differentiate p(k) with respect to k.
-1786
Find the second derivative of 149516*n - 2416 - 299032*n - 2345*n**2 + 149517*n wrt n.
-4690
Let b = -26427 - -26430. Let v(h) be the first derivative of 0*h**b + 0*h**2 - 17 - 39/4*h**4 + 29*h. What is the derivative of v(i) wrt i?
-117*i**2
Let x = -382 - -385. Differentiate -19 + 136 + 2841*h**x - 2869*h**3 wrt h.
-84*h**2
Let o(i) be the first derivative of 0*i**5 + 0*i**3 - 5/2*i**2 + 49 + 0*i**4 - 125/6*i**6 - 3*i. What is the second derivative of o(d) wrt d?
-2500*d**3
What is the first derivative of 2351*h + 727 + 398*h + 1103*h + 187 + 102 wrt h?
3852
Let v(j) = -6*j - 20. Let a = -71 - -65. Let b be v(a). Find the third derivative of -6*w**2 + 3*w**2 - b*w**4 - 6*w**2 wrt w.
-384*w
Suppose 13*t - 31 = -5. What is the derivative of -15 - y**2 - 23 + 2 + t*y**2 wrt y?
2*y
Let d = 295 - 206. What is the third derivative of -44*l**2 - 43*l**2 + 13*l**4 + d*l**2 + 2*l**5 + 1 + 0 wrt l?
120*l**2 + 312*l
Let z(k) = 294*k - 72. Let l(y) = -99*y + 24. Let j(q) = -14*q + 89. Let m be j(6). Let a(i) = m*z(i) + 16*l(i). Find the first derivative of a(d) wrt d.
-114
Let k(a) = -398*a**3 + 3*a - 1132. Let u(l) = 796*l**3 - 7*l + 2267. Let f(q) = -5*k(q) - 2*u(q). What is the derivative of f(h) wrt h?
1194*h**2 - 1
Let r = 242 - 229. What is the first derivative of 42 + 24 - r + 25*q wrt q?
25
Let r be 2/4 + 11/2. Let x(y) = y**3 - 2*y**2 + 7*y + 12. Let d be x(r). Find the second derivative of 198*k**2 - 8*k + 9*k**3 - 9*k - d*k**2 wrt k.
54*k
Let q(v) be the second derivative of -17/6*v**4 + 0*v**2 - 11/6*v**3 + 0 + 58*v. What is the second derivative of q(i) wrt i?
-68
Let b(k) be the third derivative of 11*k**8/4 - 15*k**5/4 - k**3/6 - 7*k**2 - 102. Find the third derivative of b(m) wrt m.
55440*m**2
Let y be 5 + (-20)/(4 - -1). Let r(n) = -n**2 + n - 1. Let q(w) = -172*w**2 + 261*w - 6. Let o(h) = y*q(h) - 6*r(h). Find the second derivative of o(j) wrt j.
-332
Let h(l) = -l**3 + 7*l**2 + 10*l - 63. Let v be h(7). Find the third derivative of v*q**4 - 8*q**4 + 142*q**5 + 7*q**4 + 2*q**3 - 195*q**2 - 6*q**4 wrt q.
8520*q**2 + 12
What is the first derivative of 1193 - 2060*k + 353 + 1704 - 248 + 230 wrt k?
-2060
Let h be ((-52)/(-16))/((-1)/20). Let i = h + 71. What is the third derivative of 24*w**2 + 13*w**2 + 22*w**6 + 5*w**i wrt w?
3240*w**3
What is the second derivative of 15 + 720*m**2 - 52 + 1544*m**2 + 21 + 25 + 47*m wrt m?
4528
Suppose -3*h + 5 = -9*z + 5*z, 4*z - 19 = -5*h. Differentiate 99 - 69 - 2*c**h + 29*c**4 - 45 - 30 wrt c.
116*c**3 - 6*c**2
Let y(i) be the second derivative of 68*i**7/21 + i**5/20 - 5*i**4/3 + 41*i**2/2 - 569*i - 3. Find the third derivative of y(q) wrt q.
8160*q**2 + 6
Let c(a) = 633*a**3 + 6*a**2 - 255*a - 1. Let p(x) = -950*x**3 - 9*x**2 + 380*x + 1. Let o(g) = -8*c(g) - 5*p(g). Find the second derivative of o(m) wrt m.
-1884*m - 6
Let c(s) be the first derivative of -11*s**6/24 + 13*s**5/20 - 47*s**2 + 14. Let k(t) be the second derivative of c(t). Find the third derivative of k(i) wrt i.
-330
Let f(u) be the first derivative of 0*u**2 - 8/3*u**3 - 46 - 35*u + 1/2*u**4. Find the first derivative of f(b) wrt b.
6*b**2 - 16*b
Suppose -58207 = -3*p - z + 16761, 5*p = -5*z + 124960. Differentiate -25*f**4 + 24988*f**3 - 26 - p*f**3 wrt f.
-100*f**3
Let y(j) = 2*j. Let u(i) = -142*i - 209. Suppose 6 = 3*a - b, -a + 3*b = -9 + 15. Let q(m) = a*y(m) + u(m). What is the first derivative of q(k) wrt k?
-136
Find the third derivative of 214*w**2 - 29*w**4 - 12*w**4 - 411*w**5 + 418*w**5 + 736*w**2 wrt w.
420*w**2 - 984*w
Let u(t) be the second derivative of -1047*t**5/20 - 2025*t**2 + 1162*t. Differentiate u(r) wrt r.
-3141*r**2
Let h(d) be the third derivative of 1/60*d**6 - d + 31/6*d**3 + 0*d**5 + 0 - d**2 + 0*d**4 + 1/3*d**7. What is the first derivative of h(z) wrt z?
280*z**3 + 6*z**2
Let l(v) = 50*v**2 - 54. Suppose -4*y + 9 = -11. Let i(k) = 99*k**2 - 108. Let d(c) = y*l(c) - 2*i(c). Differentiate d(m) with respect to m.
104*m
Find the second derivative of 15789*d**4 - 27035*d**4 - 1296*d + 14228*d**4 wrt d.
35784*d**2
Let z = 170 - 145. Differentiate 10*s**4 - 29*s**4 - z*s**4 - 7 + 3 with respect to s.
-176*s**3
Let m be (-99)/(-15) + 21/(-35). Find the third derivative of 56*z**2 + 28*z**6 - 72*z**m - 31*z**6 wrt z.
-9000*z**3
Let u be (-4)/7 + 450/126. Find the second derivative of -7*z**3 + 2 + u + 7*z - 3 + 10*z**3 + 9*z**3 wrt z.
72*z
Let u be 3 - 1/(0 - -1). Suppose 2717*s - 2708*s = 45. What is the second derivative of -u*o - 3*o - 48*o**5 + 33*o**s wrt o?
-300*o**3
Let d be -30*((-7)/(-7))/((-10)/32). Let i = -51 + d. Find the first derivative of 26*a**4 + 51 - 102 + i wrt a.
104*a**3
Let r = -1071 + 1073. Let o(p) be the second derivative of 0*p**3 - 3*p**r + 0*p**4 - 11/20*p**5 + 0 - 6*p. Find the first derivative of o(y) wrt y.
-33*y**2
Let s(b) = -b**3 - 7*b**2 - 2*b - 13. Let r be s(-7). Let i be (-1 - 1 - -2)/r. What is the third derivative of 6*f**6 + i*f**2 - 31*f**2 + f**6 - 2*f**6 wrt f?
600*f**3
Let z be 1/(14/6) + 2656/581. What is the second derivative of -9*j - 4*j + 3*j**4 + 26*j**z - 2 - j**4 - 5*j**4 + 25*j**5 wrt j?
1020*j**3 - 36*j**2
Let o be -7 + 2/35 + (-29889)/(-4305). Let z(j) be the third derivative of -3*j**3 - 10*j**2 + o*j + 0 + 1/2*j**4. Find the first derivative of z(u) wrt u.
12
Let t(q) be the first derivative of 2609*q**6/2 - 125*q**3/3 + q**2/2 - 9*q + 8821. What is the third derivative of t(i) wrt i?
469620*i**2
Find the third derivative of -124*v**2 - 4051*v**3 - 1128*v**3 - 149*v**2 + 223*v**3 wrt v.
-29736
Let i(m) = -3 + 13 + 12 + 30*m + 16 + 14 + 60*m**2. Let s(d) = 5*d + 1. Let v(y) = 2*i(y) - 12*s(y). What is the first derivative | {
"pile_set_name": "DM Mathematics"
} |
2.700971 decades to millennia.
0.02700971
How many minutes are there in 7/4 of a hour?
105
Convert 423.9339 months to decades.
3.5327825
How many minutes are there in fourty-five eighths of a week?
56700
What is 17/2 of a day in hours?
204
How many millilitres are there in 48/5 of a litre?
9600
What is fourty-six fifths of a century in decades?
92
How many minutes are there in 1/6 of a hour?
10
How many millilitres are there in 70279.66l?
70279660
What is 21/5 of a meter in millimeters?
4200
How many nanometers are there in nine tenths of a micrometer?
900
How many kilograms are there in 140950.9ug?
0.0001409509
How many nanograms are there in 1/64 of a milligram?
15625
How many months are there in 3/8 of a decade?
45
What is twenty-nine fifths of a litre in millilitres?
5800
What is six fifths of a kilogram in grams?
1200
How many years are there in 3/40 of a millennium?
75
Convert 56.18825us to nanoseconds.
56188.25
What is 5557583.43 minutes in weeks?
551.3475625
What is 27/2 of a meter in millimeters?
13500
What is 1/5 of a day in minutes?
288
How many millilitres are there in 2/125 of a litre?
16
What is 2402.41 decades in months?
288289.2
How many decades are there in 37/5 of a century?
74
What is 43/6 of a century in months?
8600
Convert 2347.046mg to nanograms.
2347046000
What is 4409.892ml in litres?
4.409892
What is three fifths of a decade in years?
6
What is 79226.61 years in months?
950719.32
What is 6.463391 millilitres in litres?
0.006463391
How many seconds are there in twenty-eight ninths of a hour?
11200
How many centuries are there in twenty-one halves of a millennium?
105
How many meters are there in three fifths of a kilometer?
600
What is twelve sevenths of a week in days?
12
Convert 5.015633 microseconds to nanoseconds.
5015.633
Convert 209154.9 micrometers to nanometers.
209154900
What is 3/8 of a microgram in nanograms?
375
Convert 493.7847um to kilometers.
0.0000004937847
What is 1134.74088 milliseconds in weeks?
0.000001876225
How many micrometers are there in 46020.36 millimeters?
46020360
What is fifteen quarters of a centimeter in micrometers?
37500
How many months are there in 11/8 of a century?
1650
What is 9/10 of a litre in millilitres?
900
What is 61.775 millilitres in litres?
0.061775
What is 1/4 of a litre in millilitres?
250
How many litres are there in 15598.53ml?
15.59853
What is 3/40 of a litre in millilitres?
75
What is 6282.96 kilograms in nanograms?
6282960000000000
How many milligrams are there in 11/2 of a gram?
5500
What is 1/4 of a week in hours?
42
Convert 24.471kg to tonnes.
0.024471
How many nanograms are there in 0.4560327mg?
456032.7
How many micrograms are there in 0.2454235 nanograms?
0.0002454235
Convert 57.9374 tonnes to micrograms.
57937400000000
What is 771425.5kg in micrograms?
771425500000000
How many milligrams are there in 93.34187 tonnes?
93341870000
What is 6/25 of a millennium in decades?
24
What is 61707.24 years in millennia?
61.70724
How many millilitres are there in 3/8 of a litre?
375
How many years are there in 31/2 of a decade?
155
What is 81.9434ml in litres?
0.0819434
What is 77/2 of a micrometer in nanometers?
38500
What is one twentieth of a gram in milligrams?
50
Convert 13762.31 weeks to microseconds.
8323445088000000
What is 9/10 of a decade in months?
108
How many millilitres are there in 1/4 of a litre?
250
How many years are there in 2955.1671 months?
246.263925
How many nanograms are there in 17/4 of a microgram?
4250
What is 0.2706351 centuries in years?
27.06351
What is 8868.437ml in litres?
8.868437
How many micrometers are there in seven sixteenths of a centimeter?
4375
What is 1060.859 decades in millennia?
10.60859
What is one sixth of a day in hours?
4
How many seconds are there in 18/5 of a hour?
12960
How many micrometers are there in 21378.42nm?
21.37842
How many litres are there in 734.3968ml?
0.7343968
What is thirty-four fifths of a litre in millilitres?
6800
Convert 0.4501407ml to litres.
0.0004501407
How many nanoseconds are there in 12/25 of a microsecond?
480
How many litres are there in 3.804294ml?
0.003804294
What is thirty-three fifths of a millimeter in micrometers?
6600
How many centuries are there in 0.2588329 millennia?
2.588329
How many millilitres are there in 3/25 of a litre?
120
What is 5.066981ml in litres?
0.005066981
How many years are there in 22863.534 months?
1905.2945
What is 15.606783 months in years?
1.30056525
How many months are there in 10/3 of a decade?
400
Convert 782.1913 centuries to months.
938629.56
What is 6/25 of a kilogram in grams?
240
Convert 61516.3 millennia to decades.
6151630
Convert 355091.7kg to milligrams.
355091700000
How many months are there in twenty-one halves of a year?
126
How many milligrams are there in eleven halves of a gram?
5500
How many meters are there in 367.7773 millimeters?
0.3677773
Convert 204.6565 weeks to microseconds.
123776251200000
How many meters are there in five quarters of a kilometer?
1250
How many millennia are there in 7.68237 centuries?
0.768237
How many nanometers are there in 52.32603 centimeters?
523260300
How many decades are there in 1/5 of a century?
2
What is 1463.884nm in micrometers?
1.463884
What is 346496.6 days in minutes?
498955104
What is seven quarters of a decade in months?
210
Convert 668.0508 months to decades.
5.56709
How many nanograms are there in 15/4 of a microgram?
3750
How many millennia are there in 109.03764 months?
0.00908647
What is twenty-five quarters of a century in years?
625
What is 0.9947274 decades in millennia?
0.009947274
What is twenty-one fifths of a tonne in kilograms?
4200
What is thirty-one halves of a millennium in years?
15500
How many decades are there in 2282.8647 months?
19.0238725
What is nine sixteenths of a kilometer in centimeters?
56250
Convert 0.4609456um to centimeters.
0.00004609456
How many months are there in seven quarters of a century?
2100
How many millilitres are there in 33.93419l?
33934.19
How many nanoseconds are there in 3.245927 minutes?
194755620000
What is 558918.9 nanograms in kilograms?
0.0000005589189
Convert 3114.407kg to milligrams.
3114407000
What is 26/5 of a litre in millilitres?
5200
What is seven halves of a week in hours?
588
Convert 22.25599 millilitres to litres.
0.02225599
Convert 0.8516457km to nanometers.
851645700000
How many hours are there in 35798.742ns?
0.000000009944095
Convert 1.924011 grams to milligrams.
1924.011
How many milliseconds are there in seventeen halves of a second?
8500
What is 0.4290067kg in grams?
429.0067
What is 34.84556l in millilitres?
34845.56
How many months are there in seven thirds of a year?
28
How many minutes are there in twenty-five quarters of a hour?
375
How many nanometers are there in 3/50 of a micrometer?
60
What is three tenths of a century in decades?
3
Convert 0.540275 centuries to months.
648.33
What is 97.09717mg in tonnes?
0.00000009709717
How many grams are there in thirteen quarters of a kilogram?
3250
How many millilitres are there in 443.7568l?
443756.8
Convert 5.086513 tonnes to milligrams.
5086513000
What is 50.35574mg in tonnes?
0.00000005035574
What is 0.9532077 millilitres in litres?
0.0009532077
How many weeks are there in 164444099.4 seconds?
271.8983125
How many millennia are there in 30.90923 centuries?
3.090923
What is 16.37811 millilitres in litres?
0.01637811
Convert 0.8969079 hours to minutes.
53.814474
How many millilitres are there in 55/4 of a litre?
13750
How many months are there in 73.62991 millennia?
883558.92
Convert 0.6797599ng to kilograms.
0.0000000000006797599
Convert 1631.097ml to litres.
1.631097
What is 58.82715 milligrams in micrograms?
58827.15
How many microseconds are there in 8.931458 minutes?
535887480
How many litres are there in 680022.7 millilitres?
680.0227
How many months are there in twenty-five halves of a year?
150
What is 97274.03mm in micrometers?
97274030
How many millimeters are there in 3/10 of a meter?
300
How many tonnes are there in 7632.01 nanograms?
0.00000000000763201
What is 11/8 of a microgram in nanograms?
1375
What is 43.82483 millennia in centuries?
438.2483
What is 9/10 of a gram in milligrams?
900
How many decades are there in seventy-seven halves of a century?
385
What is 6 | {
"pile_set_name": "DM Mathematics"
} |
Let r(x) be the second derivative of -x**4/6 - 4*x**3/3 - x. What is -8*k(u) + r(u)?
-2*u**2
Suppose 0 = -3*z + 25 - 10. Let g(d) = -7*d**2 - 9*d - 5. Let m(h) = -4*h**2 - 5*h - 3. Let t = -7 + 4. Give t*g(j) + z*m(j).
j**2 + 2*j
Let v(n) = 1. Let c(g) = -7*g + 4. Calculate c(t) - 4*v(t).
-7*t
Let y(t) = t**2 + t - 1. Let a = 37 - 39. Let g(x) = -x + 2. What is a*y(n) - 2*g(n)?
-2*n**2 - 2
Suppose m - 3*t - 10 + 0 = 0, 0 = 2*m + 5*t - 20. Let b(u) = 4*u**3 + 22*u**2 - 10*u. Let r(g) = -g**3 - 7*g**2 + 3*g. Determine m*r(j) + 3*b(j).
2*j**3 - 4*j**2
Suppose 3*p + 4*n - 34 = 0, -p - p - 5*n + 25 = 0. Let l(m) = m. Let z(g) = 3*g. Calculate p*l(h) - 2*z(h).
4*h
Let n(r) = -7*r**3 + 4*r**2 - 5*r - 6. Let o(x) = -8*x**3 + 5*x**2 - 6*x - 7. What is 6*n(t) - 5*o(t)?
-2*t**3 - t**2 - 1
Let s(i) = -2*i**3 + 19*i**2 + 2*i. Let a(j) = -3*j**3 + 18*j**2 + 2*j. Give 3*a(d) - 4*s(d).
-d**3 - 22*d**2 - 2*d
Let n(g) = g**3 + 4*g**2 + 2. Let z(w) = w**2. Suppose -4*m - 5 = -9*m. Give m*n(p) - 2*z(p).
p**3 + 2*p**2 + 2
Let d(m) = 4*m**2 + 4*m - 5. Let a be (-11 - -4) + 3 + 0. Let t(n) = -5*n**2 + 0*n**2 + 6 - 2*n - 3*n. Calculate a*d(i) - 3*t(i).
-i**2 - i + 2
Let z(l) = l + 0 + 1 + 0*l. Let h(t) be the second derivative of -5/2*t**2 + 2*t - 4/3*t**3 + 0. Determine h(g) + 6*z(g).
-2*g + 1
Let m(j) = -6*j + 12. Let r(t) = 5*t - 12. Determine 4*m(h) + 5*r(h).
h - 12
Let k(y) = 2*y**2 + 4*y - 1. Let h(b) = 2*b**2 + 5*b - 2. Let g = 29 - 31. Determine g*h(r) + 3*k(r).
2*r**2 + 2*r + 1
Let w(t) = 16*t**2 - 40*t - 10. Let y(z) = -3*z**2 + 8*z + 2. Give -2*w(r) - 11*y(r).
r**2 - 8*r - 2
Let w(a) = -1. Let l(v) = -3*v - 7. Let t(z) = -z + 12. Let i be t(11). What is i*l(k) - 6*w(k)?
-3*k - 1
Let k(x) = -8*x**2 + x - 13. Let r(f) = -9*f**2 - 14. Let t(u) = 7*k(u) - 6*r(u). Let o(y) = y**2 - 3*y + 3. Give -5*o(j) - 2*t(j).
-j**2 + j - 1
Let o(w) = -11*w**3 - 14*w - 3. Let b(s) = -7*s**3 - 9*s - 2. What is -8*b(j) + 5*o(j)?
j**3 + 2*j + 1
Let u(i) = -2. Let c = -5 - -3. Let s(t) = t**2 - t + 6. What is c*s(f) - 6*u(f)?
-2*f**2 + 2*f
Let n(s) = -126*s**3 + 27*s + 27. Let h(i) = 23*i**3 - 5*i - 5. Determine -27*h(v) - 5*n(v).
9*v**3
Suppose -2*y + 1 + 3 = 0, 0 = -4*a - y - 14. Let t(p) = 3*p**3 - 2*p**2 + 5*p. Let j(b) = -2*b**3 + 2*b**2 - 4*b. What is a*j(z) - 3*t(z)?
-z**3 - 2*z**2 + z
Let w be -9 + 1 + (4 - 0). Let l(c) = -5*c - 3. Let n(f) = -6*f - 10. Let i(z) = -1. Let y(t) = 6*i(t) - n(t). What is w*l(r) - 3*y(r)?
2*r
Let a(h) = -2*h - 2*h + 5 - 3. Let v(w) = -23*w + 1. Let m(g) = -15*g + 1. Let i(r) = -8*m(r) + 5*v(r). Determine -3*a(u) - 2*i(u).
2*u
Let j(d) = 20*d**2 - 8*d - 11. Let f = -138 + 130. Let o(n) = -7*n**2 + 3*n + 4. Determine f*o(r) - 3*j(r).
-4*r**2 + 1
Let c(x) = -7*x**2 + 3*x + 1. Let z(q) = q**2 - q. Give -2*c(g) - 6*z(g).
8*g**2 - 2
Let x(r) = 5*r**3 - 5*r**2 + 6*r - 9. Suppose -40 = -z - 46. Let d(n) = 14*n**3 - 14*n**2 + 17*n - 26. What is z*d(k) + 17*x(k)?
k**3 - k**2 + 3
Let c(j) = -4*j**2 - 5*j - j**2 - 1 + 0. Let l(p) be the first derivative of -4*p**3/3 - 2*p**2 - p - 2. Give 3*c(i) - 4*l(i).
i**2 + i + 1
Let l be 11/55 - 22/10. Let k be 15/6*(0 - l). Let n(m) = -3*m**2 + 5*m - 5. Let z(o) = 5*o**2 - 8*o + 8. Calculate k*z(b) + 8*n(b).
b**2
Let f(c) = 3*c**2 - 9*c + 3. Let n(a) = 5*a**2 - 14*a + 5. Calculate 8*f(q) - 5*n(q).
-q**2 - 2*q - 1
Let d(t) = -3*t + 1. Let g(p) = p**3 + p + 6. Let w be g(0). Suppose 5*b = m - 28, -2*m + 0*b = -3*b - 35. Let h(a) = 6*a - 2. What is m*d(j) + w*h(j)?
-3*j + 1
Let g(y) = 6*y + 7. Let p(b) = -4*b - b - 3 + 17 + 4*b. Let h be p(0). Let z(u) = -u - 1. Give h*z(f) + 2*g(f).
-2*f
Let h(k) = 15*k. Let b(j) = 676*j. Calculate -2*b(p) + 91*h(p).
13*p
Let k(v) = -1. Let c(t) = t**2 + 3. What is 4*c(l) + 14*k(l)?
4*l**2 - 2
Let w(o) = -2*o - 2. Let p(s) = -s - 2. Let d(i) = -8*i + 2. Let l be d(3). Let x = l - -19. What is x*p(q) + 2*w(q)?
-q + 2
Let t(g) = g. Let x(c) = -69*c. Determine -46*t(b) - x(b).
23*b
Let x(s) = -s**3 - 4*s**2 - s + 1. Let c be x(-3). Let k(z) = z. Let m(f) = 6*f - 5. Let r(l) = 7*l - 6. Let h(d) = -6*m(d) + 5*r(d). What is c*k(y) - 4*h(y)?
-y
Let w(j) = j**3 + 2*j**2 - 2. Let k(b) = 3*b**3 + 5*b**2 + b - 5. Calculate 2*k(r) - 5*w(r).
r**3 + 2*r
Let z(r) = -3. Let a(w) = -w**3 - 4. What is 3*a(p) - 4*z(p)?
-3*p**3
Let x(c) = -3*c - 1. Let j(p) = 1. Give -4*j(y) + x(y).
-3*y - 5
Suppose -5*b + 44 = -b. Let z(n) = -6*n**2 + 11*n. Let d(l) = l**2 - 2*l. What is b*d(g) + 2*z(g)?
-g**2
Let i(l) = 13*l**2 - 7*l - 9. Let k(t) = 6*t**2 - 3*t - 4. What is 4*i(r) - 9*k(r)?
-2*r**2 - r
Let y(l) = l**3 + 3*l**2 - l - 6. Let k(h) = h**3 + 2*h**2 - 5. Give 3*k(i) - 2*y(i).
i**3 + 2*i - 3
Let m(o) = -o**2. Let n(q) = -q**3 - 5*q**2 - 2*q. Suppose -2*x + 18 = x. Suppose 3*b = -3*s - 0*s, -3*s - x = -3*b. Calculate b*n(y) - 4*m(y).
-y**3 - y**2 - 2*y
Suppose 17*q - 18 = -137. Let v(l) = -2*l - 1. Let a(u) = 2*u + 1. Give q*a(d) - 6*v(d).
-2*d - 1
Let b(y) = -y - 1. Let u(d) = -2*d - 3. Let p be 0 - 1/((-11)/(-3) - 4). Give p*u(l) - 5*b(l).
-l - 4
Let g(t) = -22*t**3 + 22*t**2 + 16. Let y(b) = 7*b**3 - 7*b**2 - 5. Let h be (-32)/(-3)*(-3)/2. Determine h*y(i) - 5*g(i).
-2*i**3 + 2*i**2
Let z(n) = 1. Let t(r) = -2*r - 35. Calculate -t(s) - 6*z(s).
2*s + 29
Let o(f) = 135*f**3 - 35. Let i(l) = -8*l**3 + 2. What is 35*i(t) + 2*o(t)?
-10*t**3
Let c = -1 - -3. Suppose -c*t = 2*t + 36. Let b(y) = -4*y - 7. Let n(h) be the second derivative of -h**3/3 - 3*h**2/2 - 2*h. Calculate t*n(g) + 4*b(g).
2*g - 1
Let l(q) = -q**3 - q**2 - 1. Let y(z) = 8*z**3 + 6*z**2 + z + 7. Calculate -14*l(k) - 2*y(k).
-2*k**3 + 2*k**2 - 2*k
Let s(u) = -4*u**3 - 6*u**2 - 4*u + 3. Let c(t) = -11*t**3 - 17*t**2 - 11*t + 8. Determine -6*c(l) + 17*s(l).
-2*l**3 - 2*l + 3
Let d(q) = -q - 26 + 26. Let a(k) = 5*k. Give -a(s) - 6*d(s).
s
Let q(v) = 1 + 3*v - 4*v + 2*v + 1. Let x(h) = -2*h + h + 3 + 3*h. Suppose 0 = 5*u - 2*i + 21, -5*i + 6 = -3*i. Calculate u*q(b) + 2*x(b).
b
Suppose -22 + 2 = 5*x. Let r(n) = -4 - 54*n**2 + 48*n**2 - 4*n + 4*n - 3*n. Let u(a) = 7*a**2 + 4*a + 5. Determine x*u(k) - 5*r(k).
2*k**2 - k
Suppose 3*d + 0*l - 17 = l, -d + 7 = -l. Suppose 3*u = -2*u + 20. Let g(s) = 2*s - 4. Let k(h) = -2*h + 3. Determine d*k(p) + u*g(p).
-2*p - 1
Let l(b) = -21*b**2 + 7. Let a(q) = -22*q**2 + 6. Give -5*a(y) + 4*l(y).
26*y**2 - 2
Let k(w) be the second derivative of -w**4/3 + w**3/3 + 5*w. Let n(b) = 11*b - 14*b**2 + 2*b**2 - 11*b**2. Determine -34*k(d) + 6*n(d).
-2*d**2 - 2*d
Let p(f) = -16*f**2 - 5*f - 11. Let x(u) = u**3 - 12*u**2 - 13*u - 4. Let b be x(13). Let r(t) = 3*t**2 + t + 2. Calculate b*p(d) - 22*r(d).
-2*d**2 - 2*d
Let j(f) = 6. Let o(p) = 1. Let u(i) = -j(i) + 5*o(i). Let b(h) = h**2 + h + 4. Determine -2*b(t) - 7*u(t).
-2*t**2 - 2*t - 1
Let n(m) = 8*m**3 + m**2 + 2. Let t(y) = 5*y**2 + 9*y - 8. Let u be t(1). Let x(d) = 17*d**3 + 2*d**2 + 4. Determine u*x(q) - 13*n(q).
-2*q**3 - q**2 - 2
Let o(r) = -2*r**3 - r**2 - r. Let w(u) = -u**3 + 1. Let a(x) = -o(x) + w(x). Let g(h) = -4*h**3 - 7*h**2 - 7*h - 6. Determine -6*a(m) - g(m).
-2*m**3 + m**2 + m
Let j(q) = -q. Let z(v) = 3*v + 1. Give -5*j(x) - z(x).
2*x - 1
Let q(a) = a**2 + 3*a + 4. Let l(p) = 8*p - 8*p - 7 - p**2 - 5*p. Determine -3*l(t) - 5*q(t).
-2*t**2 + 1
Let j(n) = 144*n**3 - 33*n**2 + 33*n. Let x(q) = -9*q**3 + 2*q**2 - 2*q. Give 6*j(l) + 99*x(l).
-27*l**3
Let s(w) = -4*w**3 - 5*w**2 + 3*w - 3. Suppose -4*o + 3*o + 5*g - 12 = 0, -2*g = 2*o - 12. Let f(i) = 3*i**3 + 4*i**2 - 2*i + 2. What is o*f(x) + 2*s(x)?
x**3 + 2*x**2
Let y(l) = 11*l + 2. Let o(d) = -6*d - 1. Calculate -7*o(b) - 4*y(b).
-2*b - 1
Let f(y) = 11*y**2 + 9*y - 1. Let r(c) = 21*c**2 + 17*c - 2. Determine 11*f(m) - 6*r(m).
-5*m**2 - 3*m + 1
Suppose 0*c = -3*c + 3. Let y be 1 - (-3 + c + 0). Let b(m) = -2*m + 1. Let i(q) be the second derivative of -5*q**3/6 + q**2 + 4*q. What is y*i(u) - 7*b(u)?
-u - 1
Let u(i) be the first derivative of -i**4/4 + i**3/3 - 3*i**2/2 + 5*i - 17. Let k(a) = -3*a**3 + 3*a**2 - 8*a + 14. Give -3*k(b) + 8*u(b).
b**3 - b**2 - 2
Let w(f) = 5*f**2 + 4*f - 6. Let p(i) = 4*i**2 + 3*i - 5. Suppose 5*m + 37 = 12. Give m*w(l) + 6*p(l).
-l**2 - 2*l
Let y(x) = 13*x**2 - 13*x + 13. Let v(c) = 7*c**2 - 6*c + 6. Calculate 13*v(s) - 6*y(s).
13*s**2
Let w(p) = 45*p**2 - 12. Let | {
"pile_set_name": "DM Mathematics"
} |
5
Two letters picked without replacement from {b: 1, o: 2, h: 1, x: 3}. Give prob of picking 1 h and 1 b.
1/21
What is prob of picking 1 a and 1 i when two letters picked without replacement from {i: 1, n: 7, a: 2, x: 2}?
1/33
Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, r: 7, a: 4, j: 8}.
4/95
What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, m: 1, u: 3, z: 1, w: 3}?
2/45
What is prob of picking 3 c when three letters picked without replacement from {k: 3, z: 1, g: 2, b: 7, c: 1}?
0
Two letters picked without replacement from {y: 1, d: 2, r: 1, h: 1, p: 1, x: 1}. Give prob of picking 1 x and 1 p.
1/21
Two letters picked without replacement from {j: 9, d: 9}. What is prob of picking 2 d?
4/17
Three letters picked without replacement from aiuqai. Give prob of picking 1 u and 2 i.
1/20
Three letters picked without replacement from assnsssfsssaasaa. Give prob of picking 1 a, 1 s, and 1 n.
9/112
What is prob of picking 1 v and 2 t when three letters picked without replacement from {t: 6, v: 3, s: 2, n: 3, d: 6}?
3/76
Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {e: 1, w: 7, r: 1}.
0
Four letters picked without replacement from qqqqqq. Give prob of picking 4 q.
1
Two letters picked without replacement from {u: 2, k: 7, l: 2}. What is prob of picking 2 l?
1/55
Calculate prob of picking 4 w when four letters picked without replacement from {y: 1, t: 2, k: 2, w: 6}.
1/22
Three letters picked without replacement from {z: 1, r: 1, a: 7}. What is prob of picking 1 z and 2 a?
1/4
Two letters picked without replacement from nohhndn. Give prob of picking 1 h and 1 n.
2/7
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {t: 3, s: 12, i: 3, k: 2}.
3/95
Calculate prob of picking 1 t and 1 h when two letters picked without replacement from hnthhtth.
3/7
Three letters picked without replacement from {j: 2, w: 9, f: 1, z: 3, u: 2}. Give prob of picking 2 u and 1 z.
3/680
Four letters picked without replacement from xbxqbxtqyqtqltyb. What is prob of picking 2 b, 1 l, and 1 q?
3/455
Four letters picked without replacement from dddddoddddddddddddod. What is prob of picking 2 o and 2 d?
3/95
Calculate prob of picking 2 v when two letters picked without replacement from {n: 2, v: 9}.
36/55
What is prob of picking 3 k and 1 o when four letters picked without replacement from qqqqkqqqkokckoqoko?
2/153
Four letters picked without replacement from zrrrzrrzrr. What is prob of picking 3 z and 1 r?
1/30
What is prob of picking 1 f, 1 r, and 1 t when three letters picked without replacement from {f: 3, v: 1, r: 1, t: 3, w: 1, p: 5}?
9/364
What is prob of picking 1 p and 2 h when three letters picked without replacement from {h: 17, p: 3}?
34/95
Two letters picked without replacement from pew. What is prob of picking 1 e and 1 w?
1/3
What is prob of picking 1 r and 1 l when two letters picked without replacement from {o: 1, a: 2, z: 1, l: 1, r: 5, y: 5}?
1/21
Two letters picked without replacement from {b: 1, d: 6, u: 8}. What is prob of picking 1 u and 1 d?
16/35
Three letters picked without replacement from tttgtjvtvk. Give prob of picking 1 g, 1 t, and 1 j.
1/24
Three letters picked without replacement from qddyqddqqdyqqqqdq. Give prob of picking 2 d and 1 y.
3/68
Four letters picked without replacement from {c: 3, z: 2, t: 1, e: 1}. Give prob of picking 2 z and 2 c.
3/35
What is prob of picking 1 v and 1 k when two letters picked without replacement from jjkjjjjjjjjkjkkjjvkj?
1/38
What is prob of picking 1 c, 2 k, and 1 m when four letters picked without replacement from kmkcckk?
12/35
Three letters picked without replacement from hhbm. Give prob of picking 1 m and 2 h.
1/4
Two letters picked without replacement from hhzhvvv. What is prob of picking 1 z and 1 v?
1/7
Three letters picked without replacement from {e: 9, r: 7}. Give prob of picking 1 e and 2 r.
27/80
Calculate prob of picking 1 v, 1 y, and 1 x when three letters picked without replacement from xxyzzxnvnzz.
1/55
Four letters picked without replacement from {a: 2, k: 2, x: 11}. Give prob of picking 2 k and 2 x.
11/273
What is prob of picking 3 k when three letters picked without replacement from ukuuukuuukyky?
2/143
Calculate prob of picking 1 p, 2 c, and 1 q when four letters picked without replacement from cpqqqpcqq.
5/63
Two letters picked without replacement from arlhlws. What is prob of picking 1 w and 1 r?
1/21
Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, c: 1}.
3/4
Four letters picked without replacement from nzxzxnxanaaxzaxz. Give prob of picking 1 z, 2 n, and 1 x.
3/91
Four letters picked without replacement from iyyyyiiibiiiiyy. What is prob of picking 2 i and 2 y?
4/13
Calculate prob of picking 1 f, 1 t, and 2 h when four letters picked without replacement from {p: 12, t: 1, h: 3, f: 4}.
4/1615
Calculate prob of picking 2 j when two letters picked without replacement from sjjyjsssjvssssjjjrj.
28/171
Calculate prob of picking 2 c when two letters picked without replacement from vchvsvvsccevvsshv.
3/136
What is prob of picking 1 n, 1 l, and 2 i when four letters picked without replacement from {l: 1, i: 2, e: 1, q: 2, n: 1}?
1/35
Four letters picked without replacement from {i: 5, b: 3, k: 3}. What is prob of picking 1 k and 3 i?
1/11
Three letters picked without replacement from {t: 5, o: 5}. Give prob of picking 1 t and 2 o.
5/12
Calculate prob of picking 2 e when two letters picked without replacement from {e: 11, o: 2, p: 6}.
55/171
Two letters picked without replacement from owwwooootwwmwwomwo. Give prob of picking 1 t and 1 w.
8/153
Three letters picked without replacement from {p: 2, f: 1, h: 1, s: 1, c: 3, d: 3}. What is prob of picking 1 s, 1 d, and 1 h?
1/55
Two letters picked without replacement from {v: 1, a: 2, p: 1}. Give prob of picking 1 v and 1 p.
1/6
Four letters picked without replacement from ihhhihhhhi. Give prob of picking 2 i and 2 h.
3/10
Calculate prob of picking 4 w when four letters picked without replacement from uwwwuuuuuwww.
1/33
Calculate prob of picking 3 p and 1 v when four letters picked without replacement from ppvpppppvpppppvvpp.
364/765
Two letters picked without replacement from {h: 3, t: 3, k: 2, j: 6, m: 1}. What is prob of picking 2 h?
1/35
Four letters picked without replacement from tzsllyz. Give prob of picking 2 s, 1 l, and 1 y.
0
Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, o: 9}.
7/40
Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zwwnzwwnn.
1/21
Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, y: 4, v: 11, e: 2}.
1/171
What is prob of picking 1 r, 1 k, and 1 n when three letters picked without replacement from {k: 1, i: 2, n: 13, u: 3, r: 1}?
13/1140
Four letters picked without replacement from brrbbrbrbbrrrbrbbrr. What is prob of picking 1 r and 3 b?
70/323
Four letters picked without replacement from pypypppy. Give prob of picking 4 p.
1/14
Three letters picked without replacement from {y: 2, v: 10, b: 6}. What is prob of picking 2 v and 1 b?
45/136
Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {z: 2, m: 1, q: 1, h: 1}.
1/10
Two letters picked without replacement from {q: 2, p: 2}. Give prob of picking 2 q.
1/6
Four letters picked without replacement from {t: 1, a: 2, c: 4}. What is prob of picking 1 c, 1 t, and 2 a?
4/35
Two letters picked without replacement from {f: 5, u: 2, q: 3}. What is prob of picking 1 u and 1 f?
2/9
Two letters picked without replacement from whmrwwhwhhw. Give prob of picking 1 h and 1 r.
4/55
Three letters picked without replacement from gfafgpifigggzpp. What is prob of picking 1 g and 2 a?
0
What is prob of picking 1 e and 1 c when two letters picked without replacement from edmdmmcddevmmmmmdm?
2/153
Two letters picked without replacement from {v: 8, y: 3, z: 2, j: 2}. Give prob of picking 1 y and 1 v.
8/35
What is prob of picking 3 d when three letters picked without replacement from dddddeddddddddddddd?
16/19
Four letters picked without replacement fr | {
"pile_set_name": "DM Mathematics"
} |
2, q: 1, x: 1}.
0
What is prob of picking 1 t and 2 r when three letters picked without replacement from cryccccrtcttt?
2/143
Two letters picked without replacement from qqqqqmmqqmqq. Give prob of picking 1 m and 1 q.
9/22
What is prob of picking 1 i and 1 s when two letters picked without replacement from {s: 3, i: 7, z: 8}?
7/51
Four letters picked without replacement from rspseersepeeeerepppf. Give prob of picking 1 r, 2 s, and 1 f.
3/1615
Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {d: 5, q: 3, n: 4}.
9/110
Four letters picked without replacement from {e: 1, u: 1, o: 2, n: 6, x: 3}. What is prob of picking 1 x, 1 n, and 2 o?
18/715
Three letters picked without replacement from pnjpivnnnnnvpjnttnnt. Give prob of picking 1 t, 1 i, and 1 v.
1/190
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {z: 12, o: 6}.
8/17
Three letters picked without replacement from {c: 7, f: 2}. Give prob of picking 3 f.
0
Calculate prob of picking 2 x when two letters picked without replacement from {r: 2, x: 1, z: 1}.
0
Three letters picked without replacement from {a: 2, b: 3, f: 4, s: 4, w: 1, y: 6}. What is prob of picking 2 f and 1 w?
1/190
Two letters picked without replacement from {l: 5, i: 3}. Give prob of picking 2 l.
5/14
Two letters picked without replacement from {c: 5, o: 3}. Give prob of picking 2 o.
3/28
Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {l: 1, v: 1, c: 3, z: 1, x: 1}.
1/21
Four letters picked without replacement from cccccccccocccccocccc. What is prob of picking 2 o and 2 c?
3/95
Calculate prob of picking 1 k, 1 g, and 1 l when three letters picked without replacement from {y: 2, g: 1, k: 2, o: 1, l: 1, w: 1}.
1/28
Calculate prob of picking 4 o when four letters picked without replacement from {d: 5, y: 2, o: 4}.
1/330
Four letters picked without replacement from tlmceexlcllllelxc. What is prob of picking 1 t, 1 e, 1 l, and 1 x?
3/170
Four letters picked without replacement from {a: 3, y: 2, q: 4, f: 1, t: 2}. Give prob of picking 2 t and 2 y.
1/495
What is prob of picking 1 b and 1 n when two letters picked without replacement from lnxezbeenlzl?
1/33
Calculate prob of picking 2 n and 2 t when four letters picked without replacement from tnttdtttnt.
1/10
Two letters picked without replacement from teetttepppettttep. Give prob of picking 2 e.
5/68
Two letters picked without replacement from yyxi. Give prob of picking 1 x and 1 y.
1/3
Three letters picked without replacement from nttgntgtnttgtgggt. Give prob of picking 2 g and 1 t.
3/17
What is prob of picking 3 l and 1 a when four letters picked without replacement from {w: 8, a: 6, l: 3}?
3/1190
Calculate prob of picking 1 i and 2 e when three letters picked without replacement from {p: 4, e: 3, d: 4, q: 1, i: 1}.
3/286
What is prob of picking 1 q, 1 d, and 1 c when three letters picked without replacement from dddxudddddudcdddddqu?
7/570
Calculate prob of picking 1 o and 2 r when three letters picked without replacement from prqrprrrrqrqrorxrro.
110/969
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {p: 1, g: 9, e: 3, f: 1}.
9/91
Two letters picked without replacement from hrvrgg. What is prob of picking 1 h and 1 v?
1/15
What is prob of picking 1 s and 1 j when two letters picked without replacement from jsjj?
1/2
Calculate prob of picking 4 v when four letters picked without replacement from hrvvvhvvrrrrrr.
5/1001
Two letters picked without replacement from {i: 1, m: 1, h: 2, j: 3}. Give prob of picking 1 h and 1 j.
2/7
What is prob of picking 1 q and 3 c when four letters picked without replacement from ccqcqqccccqcqcccccc?
455/969
What is prob of picking 2 p when two letters picked without replacement from {b: 4, p: 16}?
12/19
What is prob of picking 1 a and 1 n when two letters picked without replacement from {v: 3, u: 3, n: 1, a: 2, r: 1, s: 1}?
2/55
Four letters picked without replacement from {o: 3, u: 5, y: 3, s: 2}. Give prob of picking 1 u, 1 y, and 2 o.
9/143
Calculate prob of picking 2 u when two letters picked without replacement from {v: 1, u: 6, l: 7, o: 3}.
15/136
Two letters picked without replacement from {t: 5, a: 5}. Give prob of picking 1 t and 1 a.
5/9
Four letters picked without replacement from zqmmzzlzlzzqmzz. What is prob of picking 2 m, 1 l, and 1 q?
4/455
What is prob of picking 1 v, 1 t, 1 g, and 1 r when four letters picked without replacement from {r: 12, g: 3, x: 1, t: 2, v: 1}?
6/323
Calculate prob of picking 1 z and 2 u when three letters picked without replacement from {u: 2, z: 16}.
1/51
Two letters picked without replacement from {k: 3, a: 5}. Give prob of picking 1 a and 1 k.
15/28
Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {d: 1, x: 2, q: 2, h: 1}.
4/15
Two letters picked without replacement from {n: 1, l: 4, c: 2, y: 5, p: 2, x: 1}. What is prob of picking 1 c and 1 p?
4/105
What is prob of picking 1 u, 1 x, and 1 k when three letters picked without replacement from xuxxxxxxkxxxxxxxxxx?
1/57
Two letters picked without replacement from nhhhhhahhhhhhhb. Give prob of picking 1 b and 1 n.
1/105
Four letters picked without replacement from wwnflkwnln. What is prob of picking 2 l, 1 k, and 1 f?
1/210
What is prob of picking 2 j when two letters picked without replacement from {o: 10, j: 2}?
1/66
Two letters picked without replacement from {r: 2, o: 1}. Give prob of picking 2 r.
1/3
What is prob of picking 1 f and 2 c when three letters picked without replacement from {c: 7, f: 1, r: 2}?
7/40
Four letters picked without replacement from gdqggggggqgggg. What is prob of picking 1 q, 2 g, and 1 d?
10/91
Four letters picked without replacement from kqmkmmm. What is prob of picking 1 m, 2 k, and 1 q?
4/35
Three letters picked without replacement from {t: 5, y: 5, b: 1, x: 1, e: 3}. Give prob of picking 3 e.
1/455
Two letters picked without replacement from ggssggsssgsssssggss. Give prob of picking 2 s.
22/57
Calculate prob of picking 1 e, 1 s, and 1 h when three letters picked without replacement from eshee.
3/10
Three letters picked without replacement from qqbcttqtqqcq. Give prob of picking 1 t, 1 b, and 1 c.
3/110
Two letters picked without replacement from {z: 1, s: 1, q: 2, m: 1, h: 2, b: 1}. Give prob of picking 1 s and 1 z.
1/28
Two letters picked without replacement from {d: 3, e: 4, c: 1, m: 1, l: 2, u: 1}. What is prob of picking 2 e?
1/11
Three letters picked without replacement from wzooodooddwdz. What is prob of picking 2 w and 1 z?
1/143
What is prob of picking 2 b when two letters picked without replacement from bbbbbb?
1
Three letters picked without replacement from {h: 2, j: 1, l: 1, x: 7, p: 5}. What is prob of picking 1 l and 2 x?
3/80
Four letters picked without replacement from svssssvvsvs. What is prob of picking 4 v?
1/330
Four letters picked without replacement from xmjjjxmmxjmmmm. Give prob of picking 3 m and 1 x.
15/143
Three letters picked without replacement from {x: 9, r: 1, p: 2, d: 2}. What is prob of picking 1 d and 2 x?
18/91
What is prob of picking 4 d when four letters picked without replacement from {d: 4, t: 4, w: 2, k: 4}?
1/1001
What is prob of picking 1 g and 1 k when two letters picked without replacement from ygkgykkxygxzxyy?
3/35
Two letters picked without replacement from njudujnd. Give prob of picking 2 d.
1/28
Calculate prob of picking 1 n, 1 h, and 1 d when three letters picked without replacement from nknhnhhhhhdnh.
14/143
What is prob of picking 1 x and 2 r when three letters picked without replacement from {r: 6, o: 1, x: 1, s: 2, u: 2}?
3/44
What is prob of picking 1 z and 2 e when three letters picked without replacement from {e: 3, z: 8}?
8/55
Four letters picked without replacement from dwwnaknndnnd. Give prob of picking 4 n.
1/99
What is prob of picking 1 i, 1 g, and 1 p when three letters picked without replacement from {g: 5, p: 9, o: 2, i: 2}?
15/136
Two letters picked without replacement from ooooooopopooppopoo. What is prob of picking 2 o?
26/51
Calculate prob of picking 4 a when four letters picked without replacement from {a: 4}.
1
What is prob of picking 1 f and 2 j when three letters | {
"pile_set_name": "DM Mathematics"
} |
0 divided by -27937.
-40/27937
What is 9484 divided by 9484?
1
860340 divided by 71695
12
What is -380 divided by -4902?
10/129
What is 364582 divided by 2?
182291
Calculate -1555609 divided by -3.
1555609/3
Divide -262325 by -1.
262325
Divide 30 by 1053.
10/351
Divide 21888 by 29.
21888/29
What is 914298 divided by -66?
-13853
Calculate 129505 divided by -25901.
-5
4425298 divided by 2194
2017
What is -11545 divided by -6?
11545/6
Calculate -88185 divided by 17637.
-5
Divide 2047344 by 341224.
6
-34360 divided by 3436
-10
-21083 divided by -21083
1
Calculate 3200 divided by -50.
-64
108060 divided by 5
21612
Divide -7553 by 53.
-7553/53
What is 595332 divided by -6?
-99222
What is 338 divided by -13?
-26
160242 divided by 4
80121/2
What is 465365 divided by -93073?
-5
Calculate -213786 divided by -333.
642
Calculate -2063236 divided by 62.
-33278
Calculate -1205 divided by 7.
-1205/7
224460 divided by -129
-1740
Calculate 178634 divided by 1.
178634
What is -82270 divided by -16454?
5
What is 20853 divided by 6951?
3
85961 divided by 67
1283
-67726 divided by 3
-67726/3
16893 divided by 1
16893
What is -246950 divided by 55?
-4490
-160578 divided by 3
-53526
What is 495535 divided by -99107?
-5
-238520 divided by 5963
-40
Calculate -11 divided by -9805.
11/9805
101838 divided by -1543
-66
Divide 4627 by -68.
-4627/68
Calculate 31 divided by 144585.
31/144585
Calculate 2 divided by -31649.
-2/31649
Calculate -9415 divided by 1883.
-5
9281 divided by -30
-9281/30
What is -4 divided by -271669?
4/271669
Divide -2806700 by -850.
3302
What is 755700 divided by 5?
151140
Calculate -16862 divided by -7.
16862/7
Divide 21375 by -19.
-1125
Divide 36807 by -4.
-36807/4
Divide -1864257 by 4.
-1864257/4
Divide 634691 by 8.
634691/8
What is 1134 divided by -21?
-54
Calculate -2636 divided by -98.
1318/49
What is 5382 divided by 1794?
3
Divide -7586 by -61.
7586/61
-1069128 divided by -6
178188
What is -315595 divided by 355?
-889
100 divided by 90
10/9
Divide 449 by 115.
449/115
7471 divided by 31
241
What is 624 divided by -77?
-624/77
Calculate 39 divided by -10471.
-39/10471
2316750 divided by 77225
30
What is 74294 divided by -121?
-614
Divide -15640 by 136.
-115
What is 1 divided by -39634?
-1/39634
51064 divided by -3928
-13
Calculate -65966 divided by 7.
-65966/7
Divide 580 by 363.
580/363
0 divided by 10050
0
15 divided by 47978
15/47978
Divide -9 by 5802.
-3/1934
What is 2 divided by -14865?
-2/14865
-2 divided by -56665
2/56665
What is 5607 divided by -12?
-1869/4
Divide 248 by -59.
-248/59
What is 427986 divided by 213993?
2
11 divided by 15565
1/1415
Divide 6 by 15586.
3/7793
Calculate -180645 divided by -3.
60215
Calculate 409745 divided by 35.
11707
What is -642 divided by 49?
-642/49
Divide 4 by 27.
4/27
Calculate -7501 divided by 27.
-7501/27
Divide -4892 by -2446.
2
Divide 3326 by -427.
-3326/427
What is -19 divided by -9123?
19/9123
-7 divided by 2750
-7/2750
1517800 divided by -303560
-5
What is 96798 divided by 3723?
26
What is 4479139 divided by -7?
-639877
Calculate -1481 divided by 36.
-1481/36
-882973 divided by -31
28483
-120 divided by 87
-40/29
Calculate 44261 divided by -44261.
-1
Divide 170896 by -4.
-42724
Divide -165956 by -7.
23708
Calculate 53823 divided by -5.
-53823/5
6 divided by 1454743
6/1454743
Divide 36275 by -7255.
-5
Divide -108500 by -62.
1750
What is -14 divided by -4619?
14/4619
Divide -46526 by -541.
86
What is -1755658 divided by -34?
51637
What is 15 divided by -3498?
-5/1166
-27435 divided by 31
-885
Divide -288353 by -7033.
41
Calculate -722624 divided by 16.
-45164
-5 divided by -35901
5/35901
Calculate -54675 divided by -25.
2187
Divide 422 by -213.
-422/213
3 divided by 68927
3/68927
What is -817648 divided by 15724?
-52
113 divided by -65
-113/65
What is -647 divided by -306?
647/306
What is 354915 divided by 27?
13145
What is -812660 divided by 203165?
-4
63924 divided by -6
-10654
Calculate -6392 divided by 3196.
-2
Divide -370441 by -1.
370441
10 divided by -223512
-5/111756
Calculate -1 divided by 1311.
-1/1311
What is 0 divided by 23392?
0
394060 divided by 23180
17
-19998 divided by 3333
-6
14652 divided by 444
33
751 divided by -5304
-751/5304
-1205180 divided by -241036
5
2 divided by -15321
-2/15321
Divide -1 by 14160.
-1/14160
0 divided by -7006
0
What is 60140 divided by -4?
-15035
Divide -46608 by 1.
-46608
-4 divided by -19151
4/19151
Calculate 257028 divided by 85676.
3
What is 714960 divided by -238320?
-3
Divide -3719 by -3.
3719/3
Divide 895 by -31.
-895/31
82498 divided by 494
167
What is -21182 divided by 119?
-178
893490 divided by -13
-68730
356322 divided by 6
59387
Divide -2 by -792374.
1/396187
436567 divided by 1
436567
-895452 divided by 223863
-4
Calculate -7932 divided by -26.
3966/13
What is -9024 divided by -64?
141
14540 divided by 6
7270/3
2 divided by -130311
-2/130311
-600455 divided by -120091
5
Calculate 644319 divided by 1.
644319
What is 1084 divided by 1989?
1084/1989
Divide -5532 by 1383.
-4
-1154208 divided by 104928
-11
Calculate 0 divided by 277398.
0
-94653 divided by -2
94653/2
Calculate -1 divided by -10872.
1/10872
169330 divided by -574
-295
What is -41064 divided by 177?
-232
What is 3140 divided by -1716?
-785/429
Calculate 868995 divided by 1413.
615
Calculate 502258 divided by -2347.
-214
Divide -197 by -862.
197/862
Divide 30 by -1098.
-5/183
-1 divided by 386157
-1/386157
Calculate -5 divided by -119803.
5/119803
-2 divided by -108698
1/54349
Divide 4750 by 34.
2375/17
Calculate 160812 divided by -27.
-5956
2717900 divided by -6
-1358950/3
Calculate -81240 divided by -30.
2708
What is -1773690 divided by -6?
295615
What is -3 divided by 573007?
-3/573007
Divide -2 by 8061.
-2/8061
Calculate -84476 divided by 431.
-196
What is -11805 divided by -11805?
1
What is 12525 divided by 2505?
5
Calculate -64844 divided by -16211.
4
Calculate -5544546 divided by -98.
56577
What is 2 divided by 41951?
2/41951
What is 27784 divided by -13892?
-2
-15 divided by 4974
-5/1658
What is -4 divided by -594384?
1/148596
Divide -4407 by -339.
13
Divide 5 by 51766.
5/51766
Divide 283 by 643.
283/643
What is -152737 divided by -12?
152737/12
What is 9016 divided by 28?
322
What is 5 divided by 5938?
5/5938
50640 divided by -40
-1266
What is -6319 divided by 64?
-6319/64
3958484 divided by 2
1979242
28219 divided by -5
-28219/5
Calculate 16004 divided by 4.
4001
Calculate 11165 divided by -5.
-2233
Divide -108484 by -6.
54242/3
What is 0 divided by 10125?
0
What is -2071206 divided by 345201?
-6
Divide 61659 by -61659.
-1
3837605 divided by 4
3837605/4
What is -2374 divided by -452?
1187/226
What is 327163 divided by 4?
327163/4
Calculate -153 divided by -248.
153/248
-62 divided by 1300
-31/650
-721044 divided by 120174
-6
0 divided by 494
0
0 divided by 488418
0
What is 0 divided by 16535?
0
Calculate 6324 divided by 372.
17
Calculate 38704 divided by 1.
38704
What is 321 divided by 1131?
107/377
Divide -6166788 by 6.
-1027798
-8698 divided by -14
4349/7
What is 1735188 divided by -123942?
-14
-636 divided by 33
-212/11
452638 divided by -2
-226319
What is -310414 divided by 310414?
-1
What is 29690 divided by -5938?
-5
36910 divided by -1
-36910
2 divided by 31323
2/31323
Calculate -4 divided by -49379.
4/49379
What is -1000272 divided by 5496?
-182
397602 divided by 6
66267
Calculate -1755588 divided by -585196.
3
826686 divided by -1
-826686
Calculate 13008 divided by -16.
-813
-885178 divided by 7
-126454
Divide 4 by -1352.
-1/338
Divide 1 by 21960.
1/21960
-22820 divided by -20
1141
Divide 16 by 171918.
8/85959
Divide -71330 by -1.
71330
What is 3727568 divided by 1?
3727568
Divide -4 by -14967.
4/14967
Calculate 4458 divided by -24.
-743/4
What is -58388 divided by 2?
-29194
Divide 706 by -409.
-706/409
Calculate 4 divided by 108274.
2/54137
Divide 823342 by -1.
-823342
What is -1212660 divided by -4?
303165
What is -79042 divided by 1?
-79042
Divide 80 by -143.
-80/143
Divide 106428 by -2172.
-49
-212970 divided by -1
212970
What is 1738 divided by -1738?
-1
What is 17094 divided by -3?
-5698
What is -140 divided by -1338?
70/669
5605 divided by -5
-1121
Calculate -96 divided by 49.
-96/49
-103173 divided by -6069
17
Divide 2300 by -100.
-23
Divide -2927876 b | {
"pile_set_name": "DM Mathematics"
} |
4840*g**4 + 11966730*g + 1 wrt g?
-1369618080*g**2
Find the second derivative of 11*u**2*x**3 - 371927*u**2*x**2 + u**2*x + 94*u**2 - 20*u*x - 7*u + 2*x**3 - 5 wrt x.
66*u**2*x - 743854*u**2 + 12*x
Differentiate -4*d*f**3 + 42219*d*f + 4579341*d*v + d + f**2*v with respect to f.
-12*d*f**2 + 42219*d + 2*f*v
What is the third derivative of 529123310*s**6*z**2 + 2*s**2*z**2 - 4*s**2*z - 2*s*z**2 - 2108*s - 2*z**2 + 106*z wrt s?
63494797200*s**3*z**2
What is the third derivative of 19347591*j**3 - 2*j**2 + 118*j + 20061 wrt j?
116085546
Find the second derivative of -112*l**2*p**2 + 72425*l**2*p - 3*l**2 - 6*l*p**2 - 28000*l*p + 18*p**2 wrt l.
-224*p**2 + 144850*p - 6
What is the first derivative of -3*m**2*y - 4*m**2 - 51*m*y + 12*m - 1209*y + 16307 wrt y?
-3*m**2 - 51*m - 1209
Differentiate -11186*t**4 + 382*t**3 - t**2 + 621054802 with respect to t.
-44744*t**3 + 1146*t**2 - 2*t
What is the second derivative of -70*o*p**2*u + 4*o*p**2 - 4*o*p*u - 2*o*p - 227*o*u + 35*p**2*u - p**2 + 4*p*u + 16 wrt p?
-140*o*u + 8*o + 70*u - 2
Find the third derivative of -97572*d**3*y**2 + d**3 - 4613349*d**2*y**2 wrt d.
-585432*y**2 + 6
What is the third derivative of -61867323*g**5 - 57*g**2 - 83939*g wrt g?
-3712039380*g**2
What is the third derivative of -58*c**3*q**3 + 1437*c**3*q**2 - 2*c**3*q + 316762*c**2*q**3 + c**2*q**2 - 2*c*q**2 - 153*c - 3*q**3 - 68*q**2 wrt q?
-348*c**3 + 1900572*c**2 - 18
Find the third derivative of 6986063*h**4 + 12*h**3 + 92142750*h**2 - 2*h.
167665512*h + 72
Find the third derivative of -55803*s**4 + 76*s**3 + 228*s**2 - 258666 wrt s.
-1339272*s + 456
Find the second derivative of 2*g**4 - 13954*g**3 + 53*g**2 - 265*g - 14.
24*g**2 - 83724*g + 106
Find the third derivative of -74889617*x**4 - 2*x**2 + 282431584*x wrt x.
-1797350808*x
What is the third derivative of 24680951*n**3 - 414341*n**2 + 6?
148085706
Differentiate -6238622*w**3 + 22*w**2 + 368020593 with respect to w.
-18715866*w**2 + 44*w
What is the second derivative of -51598*f**4 + 10*f**3 - 202*f**2 - 2652054*f - 14 wrt f?
-619176*f**2 + 60*f - 404
What is the third derivative of 3222085*u**4 + 7*u**3 + 3*u**2 + 7043625 wrt u?
77330040*u + 42
What is the third derivative of 1197721*s**5 + 12*s**2 + 1150396*s?
71863260*s**2
Find the first derivative of 39*n*u + 449940*n + 2*u - 1211777 wrt n.
39*u + 449940
Find the third derivative of 8*g**4 + 59598*g**3 - g**2 - g - 539337 wrt g.
192*g + 357588
What is the third derivative of 219*s**4 + 18951*s**3 + 3222176*s**2 + 5*s - 3?
5256*s + 113706
What is the derivative of 393359733*a - 116804591?
393359733
Differentiate 122388*n**3 - 2*n**2 + 223*n - 101258055 with respect to n.
367164*n**2 - 4*n + 223
What is the first derivative of -72*g*r - 166845*g - 8204*r wrt g?
-72*r - 166845
What is the first derivative of 9*a**2*w**2 - 4837175*a*w**3 - 123380351*w**3 wrt a?
18*a*w**2 - 4837175*w**3
Find the second derivative of h**4 + 2*h**3 + 739687*h**2 - 9880*h + 22003.
12*h**2 + 12*h + 1479374
What is the derivative of 111780700*v + 58596546 wrt v?
111780700
Find the second derivative of -1830*o**2*w**3 - 92*o**2*w + 13875*o*w**3 + 3*o*w - 736*o + 12*w wrt w.
-10980*o**2*w + 83250*o*w
Differentiate 5*k**2 + 7044430*k + 783876357.
10*k + 7044430
What is the derivative of 21*b*k*l*s + 4*b*k*l + 805*b*k*s - 296*b*k + 6*b*l*s + 2*b*l - 3*k - 2*l - 4 wrt s?
21*b*k*l + 805*b*k + 6*b*l
Find the third derivative of v*w**4 - 31*v*w**3 + 36*v*w**2 + 301060*v*w + 18*w**4 + 15*w**3 wrt w.
24*v*w - 186*v + 432*w + 90
What is the third derivative of 10700724*m**5 + 59935*m**2 + 6*m - 6?
642043440*m**2
Find the third derivative of 3*o**2*r**3 + 39661*o**2*r**2 - 3*o**2*r + 3385*o*r**4 + 2*o*r**3 - 4 wrt r.
18*o**2 + 81240*o*r + 12*o
What is the second derivative of 7389130*m**5 - 2*m - 952749 wrt m?
147782600*m**3
Find the third derivative of 1661415*r**5 - 77*r**3 + 250464082*r**2.
99684900*r**2 - 462
Find the second derivative of 46924*u**2*v**5 - 206*u**2*v**3 + u**2*v - 95*u + 2287556*v wrt v.
938480*u**2*v**3 - 1236*u**2*v
What is the third derivative of -2*i**5 + 48735*i**4 - 2*i**3 + 11*i**2 + 18588*i wrt i?
-120*i**2 + 1169640*i - 12
What is the second derivative of -73875445*f**2 + 155880870*f?
-147750890
What is the third derivative of 435*a**4*r**2 + 3*a**4 + 50795*a**3 + 14*a**2*r + 2*a**2 + 2*a*r**2 - 6601*r - 24 wrt a?
10440*a*r**2 + 72*a + 304770
What is the third derivative of 14570750*n**4 - 17817131*n**2 wrt n?
349698000*n
What is the first derivative of 11439461*x**2 + 15012679 wrt x?
22878922*x
What is the third derivative of 1832*c**3*k**3*q + 1135*c**3*k**2*q - 161*c**3*k + c**3*q + 233*c*k**3*q - c*k**2*q - c*k - k**2*q wrt k?
10992*c**3*q + 1398*c*q
Differentiate 63023695*b - 16035232 with respect to b.
63023695
What is the second derivative of 5*o**3 - 5267128*o**2 - 12789964*o wrt o?
30*o - 10534256
What is the first derivative of 7*s**4 - 10*s**3 - 104*s**2 + 94*s - 43027372 wrt s?
28*s**3 - 30*s**2 - 208*s + 94
Find the third derivative of 4*s**3*z**3 - 1103159*s**3*z**2 - 395*s**2 + 356*s*z**3 - 2*s + 2*z**2 - 7*z - 1 wrt s.
24*z**3 - 6618954*z**2
What is the first derivative of 142*i**4 - 37200*i**2 + 52869216 wrt i?
568*i**3 - 74400*i
Find the first derivative of -135384*i**4 - i**3 + 4*i**2 + 31173818.
-541536*i**3 - 3*i**2 + 8*i
What is the derivative of -o**3 + 5821814*o + 140262400?
-3*o**2 + 5821814
What is the derivative of 4625619*j*k**2*z + j*k*z - 2*j*z + 40308*k**2 + 3*z - 168 wrt j?
4625619*k**2*z + k*z - 2*z
What is the first derivative of 11432144*z**4 - 8822411 wrt z?
45728576*z**3
What is the second derivative of 1033326865*c**2 - 531302806*c?
2066653730
What is the second derivative of -60947*u**3*x**2 + 1726*u**3*x + 2*u**3 + 15*u**2*x**3 + u**2*x - 3*x - 2 wrt x?
-121894*u**3 + 90*u**2*x
What is the third derivative of 101013800*z**3 + z**2 + 9694*z + 2892?
606082800
Find the third derivative of -90*i**3*s - 35268*i**3 - 4*i**2*s + i*s - 576*s + 8 wrt i.
-540*s - 211608
What is the third derivative of 140*q**5 - 3750*q**4 - 2*q**3 + 2*q**2 - 13380*q - 2?
8400*q**2 - 90000*q - 12
Find the third derivative of -35811627*j**5 - j**2 - 13*j - 2560345 wrt j.
-2148697620*j**2
What is the second derivative of -3211408*c**3 + 1290595*c?
-19268448*c
What is the third derivative of -29410112*z**5 + 98273983*z**2 wrt z?
-1764606720*z**2
What is the second derivative of 7*d**3*w**2 - 184*d**3*w - 5*d**2*w**2 - d**2 - 5863*d - 50514*w**2 wrt w?
14*d**3 - 10*d**2 - 101028
What is the first derivative of -28491850*s*w**2 + 399199749*w**2 wrt s?
-28491850*w**2
Differentiate -127568563*l**3 - 364835292.
-382705689*l**2
What is the third derivative of 2*u**6 - 5679490*u**5 + 4*u**3 + 40079843*u**2 wrt u?
240*u**3 - 340769400*u**2 + 24
What is the third derivative of -31*o*t*w**3 + 13*o*t - 2*o*w**3 - 2*o*w**2 + 34421*t*w**3 - 45119*t*w**2 wrt w?
-186*o*t - 12*o + 206526*t
Find the third derivative of -16045572*g**3 + g**2 - 5*g + 17306 wrt g.
-96273432
What is the third derivative of -17*h**5 - 7323*h**4 - 6657695*h**2?
-1020*h**2 - 175752*h
What is the third derivative of -d**4*z - 276238737*d**3*z - 2*d**2*z + 5*d**2 - 3*d*z - 242276*z wrt d?
-24*d*z - 1657432422*z
Find the third derivative of 299888152*g**4 - 600*g**2 + 14989*g.
7197315648*g
What is the derivative of 17340113*g + 5102335 wrt g?
17340113
Find the first derivative of -f**3 + 2*f**2 - 13393958*f - 45454913 wrt f.
-3*f**2 + 4*f - 13393958
What is the second derivative of 39*l*s**3 - l + 1188*s**5 - 20*s**2 + 74483*s wrt s?
234*l*s + 23760*s**3 - 40
Find the first derivative of 39*a*i*p*q + 31*a*i*p - 4*a*p + 5*a + 2*i*q + i + 80655*p*q - 12*p - 123 wrt q.
39*a*i*p + 2*i + 80655*p
Find the second derivative of 32196541*b**2 + b - 28911490.
64393082
What is the third derivative of -445068538*i**6 - 1205585545*i**2?
-53408224560*i**3
What is the third derivative of 6*o**4*p + 10*o**4 + 4*o**3*p - 1838*o**3 - 2*o**2 - 2*o + 8*p + 191439 wrt o?
144*o*p + 240*o + 24*p - 11028
Find the second derivative of 5*h*k**2 + 124*h*k*n**2 - 5*h*k*n + 204*h*k - 67*k**3*n - 8*k**2*n**2 + 138*k**2 - k - 2*n**2 wrt k.
10*h - 402*k*n - 16*n**2 + 276
Differentiate 63824705*b**2 - 435292970 wrt b.
127649410*b
What is the second derivative of -11*i**3*x**3 + 388* | {
"pile_set_name": "DM Mathematics"
} |
t h = 2400 + -497. Let v = h + -1314. What is the hundreds digit of v?
5
Let j(g) be the first derivative of g**7/840 + 53*g**4/12 - 5*g**3 + 6. Let q(o) be the third derivative of j(o). What is the tens digit of q(0)?
0
Suppose 1027577 = 89*c + 203971. What is the thousands digit of c?
9
Suppose -66*c + 275 = -77*c. Let a(g) = -52*g - 295. What is the hundreds digit of a(c)?
0
Let p = -3959 - -15940. What is the units digit of p?
1
Suppose 3*i - 26 = -d, 8*i + 2*d - 2 = 7*i. Suppose -2*l + 1898 = i*y - 6*y, 5*y + 2*l = 2373. What is the units digit of y?
5
Suppose r + 14 = 2*w, -92 = 4*r + 3*w - 2*w. Let y(g) = -g**2 - 8*g - 7. Let f be y(r). Let t = -210 - f. What is the units digit of t?
5
Suppose 2*f - 12232 = -w, 3*f - 9460 - 8894 = -3*w. What is the tens digit of f?
1
Let v(q) = q**3 + 9*q**2 + q. Let a be v(-9). Let k(s) = -s**2 - 10*s - 6. Let i be k(a). What is the units digit of 9/i + 52/2?
9
Suppose 4*p + i + 1 = 13, -p - 3*i = 8. Suppose 3*w - 3*k = -7*k + 3790, 2*k + p = 0. What is the tens digit of w?
6
Let p = 7227 - 622. What is the thousands digit of p?
6
Let o(u) be the second derivative of 32/3*u**3 + 35*u + 0 + 11*u**2. What is the units digit of o(4)?
8
What is the hundreds digit of -3*(-3 + 2) + (-27806)/(-1)?
8
Let q = -8 - -16. Let w(x) be the third derivative of x**4/24 + 2*x**3/3 - 284*x**2. What is the units digit of w(q)?
2
Let v = 62 + -59. Suppose -v*h - 1665 = -8*h. What is the units digit of h?
3
Let x = 169 - 160. Suppose -21*s = -x*s - 2784. What is the hundreds digit of s?
2
What is the units digit of 1110/(-444) - 11631/(-2)?
3
Let l = 99 + -94. Suppose -c - 3*u = -118, -5*c - 148 + 708 = l*u. What is the hundreds digit of c?
1
Suppose -70*r + r = -671991. What is the units digit of r?
9
Let v be -4*6*(0 - (-27)/24). Let r = v - -14. What is the units digit of 15/((-585)/6) + (-1211)/r?
3
Let o(q) = 7*q - 25. Suppose -32 = -9*k + k. Let l be o(k). Suppose -32 = -5*c + 3*u + 16, l*c + 4*u = 52. What is the units digit of c?
2
Let w(o) = -16*o**3 + o**2 - 19*o - 67. What is the tens digit of w(-3)?
3
Let s(t) = -t**3 + 9*t**2 - 5*t + 2. Let b be s(6). Suppose -83*f = -b*f - 2262. What is the hundreds digit of f?
7
Let b(u) = 4*u**3 - 8*u**2 + 34*u - 15. Suppose -f - 23*f + 144 = 0. What is the tens digit of b(f)?
6
Let r be 646/190 + (0 - 4/10). Suppose 3*x - f - 19 = 0, 4*x + f - 26 = r*f. Suppose 791 = 4*z + m, -3*z - 599 = -x*z + 5*m. What is the units digit of z?
8
What is the tens digit of (4194 + -9)/3 + 3 - 3?
9
Let w(j) = -11*j - 69. Let t be w(15). What is the hundreds digit of t/(-78) - 167*(-5 + 0)?
8
Suppose -3*w + 5*a = -20357, -87*a - 33960 = -5*w - 85*a. What is the units digit of w?
4
Suppose 140 = 5*f - 0*f. What is the units digit of (1010/(-7))/(-2) - 4/f?
2
Let k = -489 + 492. Suppose h - j + 2*j - 1646 = 0, -4943 = -k*h + 2*j. What is the tens digit of h?
4
Let w(q) = -124*q + 1689. What is the thousands digit of w(-47)?
7
Let k = -140 + 90. Let p = k - -53. Suppose 0 = -p*f + 182 + 112. What is the units digit of f?
8
Let k(r) = -3*r**3 + 71*r**2 - 34*r + 9. What is the tens digit of k(19)?
1
What is the ten thousands digit of 68861*(13 - 1837/143)?
1
Suppose -4*o - 4*x - 1376 = 0, -4*x + 1369 = -4*o - x. Let y = 837 + o. What is the tens digit of y?
9
Let p = -323 + 67. Let y = p - 5. Let h = -155 - y. What is the units digit of h?
6
Suppose -2*m + 2*o - 9 = 3, 4*m + 60 = -5*o. Let q(i) = i**3 + 15*i**2 + 16*i + 11. What is the units digit of q(m)?
1
Let v = 328 - 324. Let o(n) = 9*n**2 - 8*n + 18. What is the hundreds digit of o(v)?
1
Suppose 264*q - 159145 = 226*q + 255321. What is the tens digit of q?
0
Let n = -930 + 935. Suppose -5*d - n*v + 9*v + 7569 = 0, 5*d - 7601 = -4*v. What is the tens digit of d?
1
Let n(w) = 2*w**2 - 49*w - 21. Let o be n(25). Let m be 444/o - 3*1. Suppose r - m = -4*f, 4*r - 3*f - 321 = 92. What is the tens digit of r?
0
Let v be -2 + 10/(-2) - -1. Let g(r) be the second derivative of r**4/6 - 7*r**3/3 - 3*r**2/2 - 101*r + 9. What is the hundreds digit of g(v)?
1
Let i(n) = -n**2 - 3*n + 4. Let f be i(-5). Let k = f - 115. What is the tens digit of 12/16 + k/(-4)?
3
Let t(r) = -5*r - 48. Let s be t(-8). Let b be -3 + 8 + 6 + s. Suppose 4*z - 12 = 0, -x + 65 = -4*z - b. What is the tens digit of x?
8
Let w(u) = 478*u**2 - 16*u - 204. What is the hundreds digit of w(-8)?
5
Suppose -2*y - w + 119218 = 0, -2*y = -9*w + 7*w - 119212. What is the thousands digit of y?
9
What is the units digit of (1 + 249928/42)/(10/18)?
3
Suppose -66*c - 167*c + 14*c + 1377510 = 0. What is the tens digit of c?
9
Let y(s) = s**2 - 11*s + 9. Let z be y(12). Suppose z*w = 26*w + 15. Let d(n) = -7*n - 1. What is the units digit of d(w)?
0
What is the thousands digit of (-1 + 8/(-2))*(-88 - 844)?
4
Let w = 27970 + 5654. What is the ten thousands digit of w?
3
Let u = 59 + -57. Let l be 6*u/18*24. Suppose -4*d - 62 = -2*h, -5*d + l = 4*h - 43. What is the tens digit of h?
2
Let k(s) = s**2 - 2*s**2 + 41 - 46*s - 24*s + 41*s. Let i be k(-28). Let j = 79 - i. What is the units digit of j?
0
Let t(s) = s**2 - 20*s + 4. Let f be t(18). Let i be (27/6 - 0)*f/(-6). What is the tens digit of (36/i)/((-1)/(-62))?
9
Let b be 206/28*2 + (-124)/(-434). Let d(s) = -s**3 + 18*s**2 + 3*s + 21. What is the tens digit of d(b)?
4
Let c = 570 + -570. Let v(x) = 27*x + 863. What is the hundreds digit of v(c)?
8
Let p(g) = g**2 + 9*g + 6. Let t be p(-10). Suppose -10*z + t = -4. What is the tens digit of -2*((-37)/z + -4)?
4
Let q(o) = 2*o**2 - 2*o - 1. Let j be q(2). Suppose j*k = 4*a + 336, 6*a - 3*a - 473 = -4*k. Let v = k - 60. What is the units digit of v?
6
Suppose 0 = -12*z + 21*z + 3654. Let w = z + 1100. What is the units digit of w?
4
Suppose 0 = -6*h + 14*h - 24. Let n(g) = -4*g + 0*g + 6 + 10*g**2 + 2*g - 3. What is the tens digit of n(h)?
8
Let i = -125 + 60. Let q = i + 69. Suppose 570 = q*a + 3*g, -g - 4*g = -5*a + 730. What is the units digit of a?
4
Suppose 3*x - 18620 = -4*g, 7561 = 2*x - 5*g - 4837. What is the units digit of x?
4
Let h = -1 + 1. Let j(n) = 2*n**3 - 5*n**2 - 1. Let w(p) = -11*p**3 + 31*p**2 - p - 28. Let i(z) = -6*j(z) - w(z). What is the tens digit of i(h)?
3
Suppose p - 6*p = -3*l - 4524, -2*p + 1820 = 4*l. Suppose 128 + p = -2*k. Let q = k + 734. What is the tens digit of q?
1
Suppose 3*j = -3*v - 3, 0 = -3*v + 4*v - 5*j + 7. What is the hundreds digit of ((-926)/5 - v)/((-72)/180)?
4
Let o = -25 - -53. Let r be (3*16/20)/((-3)/30). Let c = r + o. What is the units digit of c?
4
Suppose -x + 6 = 2*x, 14 = 3*o - 2*x. Suppose -o*g = -g - 55. Suppose 2*d + 27 = g*d. What is the units digit of d?
3
Let g be ((-104)/12)/((-8)/1980). What is the hundreds digit of (g/26)/(4/8)?
1
What is the thousands digit of -1*42/8*(-7615 - -43)?
9
Let n = -2421 - -3606. Suppose -2*k = d - n, 2*k - 758 - 436 = -4*d. What is the hundreds digit of k?
5
Suppose o = 0, 4*o - 2 = -5*z + 1633. What is the hundreds digit of -4 - (-12)/9*z?
4
Suppose 3*z = z + 128. Let h(q) = -10*q - q**3 - 3*q - 7*q**2 + 58 - z. What is the units digit of h(-6)?
6
Suppose 3*o + 21 = -4*o. Let l be (-663)/(-119) + o/(-7). What is the units digit of l/10 + (-4)/(-10)?
1
Let b be (-22)/(-3)*(-54)/24*2. What is the hundreds digit of (-65340)/b + (-1 - 8)?
9
Let j(w) = -w**3 + 91*w**2 - 208*w + 696. What is the hundreds digit of j(71)?
7
Let j = 81 + -151. Let x = j - -40. What is the units digit of 40/(-30)*(x/(-2))/(-1)?
0
Suppose -4*d = -0*i + i - 3, 9 = 3*i - 3*d. Suppose 1880 = 4*b - 2*p, 3*b - 1126 = i*p + 287. What is the units digit of b?
9
Let k(d) = 187*d**2 + 66*d - 25. What is the hundreds digit of k(11)?
3
Let y be (-520)/(-208) + -1*5/(-2). Suppose 0 = y*c + 601 - 2401. What is the units digit of c?
0
Suppose -3*d - 9 = -24. Let g be -1 - 7*2*184/(-8). Suppose 0 = d*o - g + 6. What is the units digit of o?
3
Suppose -9496*q = -9534*q + 676704. What is the hundreds digit of q?
8
What is the thousands digit of (-27286)/(-6)*(25 + -22)?
3
Let s be -1 - -4 - (3 + -21). Let z be 0 + (2 - 2) + s. Suppose n + v = 30, 5*n + 2*v - 156 + z = 0. What is the units digit of n?
5
Let y(c) be the third derivative of c**5/60 + 7*c**3/6 - 4*c**2. Let i be (-2)/(-6) - (-33)/9. What is the units digit of y(i)?
3
S | {
"pile_set_name": "DM Mathematics"
} |
a + 15, 4*r - 5*a - 11 = m for r.
5
Suppose 2*b - 258 = -b. Suppose i + 36 - b = 0. Let q be 15/i*-2*-5. Solve 3*s - 2 = q*r - 2*s, -3*r - 8 = -2*s for r.
-4
Let s = 77 + -269. Let w = -180 - s. Solve -w = 4*u + 4*f, -u - 4*f - 3 = -0*u for u.
-3
Let b be ((-1)/(-3))/((-3)/((-234)/2)). Suppose 5*n - 5*w + b = 8, -n = 5*w - 5. Solve -5*i + a + 0*a - 14 = n, 0 = -3*i - a - 2 for i.
-2
Suppose -h + 364 = -i, -3*h - 2*i + 493 = -599. Let o be 1/7 + (h/49)/4. Solve 6 = -5*q + 2*w, o*q + 9 - 24 = -5*w for q.
0
Let p = 3347 + -3346. Solve -3*i + p = -n + i, i = 0 for n.
-1
Let t(a) = -a**2 + 12*a + 17. Let y be t(13). Let u be (-1)/4 + 57/y. Suppose -x + 2 = -3*c, 5 = 4*x - c - u. Solve 2*i - 10 = -3*p, 4*p = x*i - 16 - 9 for p.
0
Suppose 13*n - 20*n - 7 = 0, 4*v + 5 = -5*n. Solve v = 3*z, -3*c = -5*z + 6 + 3 for c.
-3
Suppose 4*x = 89 + 43. Let j be x/6 - (5 - (-28)/(-8)). Solve -2*k + 14 + j = 4*g, 4*g = 3*k - 7 for k.
5
Let o(a) be the third derivative of a**4/3 - a**3/6 - 13*a**2. Let v be o(3). Let j = v + -1. Solve 4*w - 4 = -t, 0*w = 3*w - 4*t - j for w.
2
Let n = 249 - 243. Let j be (-8)/(-384)*8 - (-5)/n. Solve 2*r + 11 = -q, 4*q + j = -2*r - 19 for q.
-3
Let c = -20100 + 20104. Solve 2*z - 20 = 6*u, z + u = c*z + 2 for z.
-2
Let r be (2286/(-63))/(8/(-28)). Let x = 230 + -103. Let y = x - r. Solve 16 = d + 2*d + 2*s, y = d - 5*s + 23 for d.
2
Let u = -7 + 11. Suppose -3*a + 6 = -a. Suppose -g = -3*n + 13, -n - 3 = 3*g + 16. Solve -u*l + 5 = v, -v + 15 = a*l + n*v for l.
0
Let l = 16129 - 16099. Solve 0 = -3*p - 5*y - 18, l = -3*p - 2*p + y for p.
-6
Suppose -52 = 76*v - 72*v. Let c = v + 17. Solve 4*n - 18 = -2*o, 2*n = 6*n - c*o - 12 for n.
4
Suppose -9*t - 2*a + 2 = -13*t, 4*a = 2*t + 4. Solve t = -2*y - d + 9, 5*y - 6*d + 8*d = 21 for y.
3
Suppose -7 = -93*n - 83 + 355. Solve z + n*z - 32 = -4*v, -5*z + 12 = -2*v for z.
4
Let k be (8/(-8))/((-4)/988). Suppose k*i - 256*i = -225. Solve -2*w - 2 + 7 = -3*y, 0 = -3*y - 2*w - i for y.
-5
Suppose 2*a + 25 = -3*u, -6 = 3*u - 5*a + 5. Let h be 1*(1 + -4 - (-7)/u). Let m be (51 - (h + 1))*(-3)/(-9). Solve -3*g = 4*x - m, -g + 4*x - 20 = -5*g for g.
2
Let y(b) = b**2 + 13*b + 24. Let u be y(-5). Let w = u - -16. Solve -5*h - 2*p + 21 = w, -2*h + 5*p = 3*h for h.
3
Let i(j) = -j**3 + 6*j**2 + 3. Let m be i(6). Suppose 2*o + 2*z = 4, 2*o - 5*z = m - 13. Suppose 5*s - 9 = 2*s. Solve 27 = 5*w - 4*c - 8, o = 5*w + s*c for w.
3
Suppose 0 = -4*b - 5*y + 38, -5*b + 237 = -2*y + 239. Solve -f + i - 8 = -1, 3*f + 17 = b*i for f.
-3
Suppose -70*m = -72*m. Suppose m = 30*j + 31 - 121. Solve 4*r - 1 = -2*u + u, 0 = -3*r + j for u.
-3
Let k(f) = -f**3 + 33*f**2 - 16*f - 509. Let v be k(32). Solve -53 = -v*h - 2*b - 49, -2*h + b + 12 = 0 for h.
4
Suppose 24 = 4*a + 2*w, -13*w + 9*w - 43 = -5*a. Solve 2*l - 2 = 3*b - a, 5*b - 2 = -3*l for l.
-1
Let d(q) = q**3 + 2*q**2 - 6*q - 5. Let b be d(-3). Solve 3*g - 20 = -2*z - b, -5*z + 21 = -2*g for z.
5
Let l(m) = m**2 - 9*m + 21. Let t be l(11). Suppose 21*h + 220 = t*h. Solve 2*b = -h, -2*u + 0*b - 14 = 2*b for u.
-2
Let y(z) = z**3 - 18*z**2 - 176*z - 3. Let p be y(-7). Solve 5*j - 6 = -p*k, -2*k + 2*j + 4 = -8 for k.
4
Suppose -34 + 66 = 2*c - 4*a, 0 = -4*c + 5*a + 46. Solve -5*o + v - 30 = -20, c*o + 2*v = -8 for o.
-2
Suppose 61*a + 80 = 41*a. Let s = a + 9. Solve -3*u + 2*u + 7 = -2*c, 2*c - 23 = -s*u for u.
5
Suppose -3*a = 3*c - 105, 3*c = -16 + 4. Suppose 0*h = 2*j + h - 59, -4*h + 47 = j. Suppose -a + j = -4*f. Solve -q - 4*l + 9 = 0, -4*q = 5*l - f - 0 for q.
-3
Suppose -12*d - 1785 = -5*d. Let u = -250 - d. Solve 7 + 3 = -3*j + 4*v, -3*j - v - u = 0 for j.
-2
Let q(m) = m + m + 3 - 7 - 24. Let g be q(16). Solve g*t + 4 = 0, 2*k + 11 = -4*t - t for k.
-3
Let a be -3 + 3 + 0 + 3. Suppose 0 = -3*y + f - 0*f + 3, 3*f + 1 = 5*y. Let n be (-122)/(-6) - y/(-3). Solve -a*b + 2*b = 4*t - n, -4*b + 32 = 3*t for b.
5
Suppose -45 - 175 = 27*t - 49*t. Solve -28 = -3*a - 3*g - t, 0 = -a + g for a.
3
Let i be (-64)/6 + 14/21. Let o(u) = -u**2 - 9*u + 13. Let d be o(i). Solve -2*j - 2*k + 14 = 0, 5*k = -d*j + 35 - 4 for j.
2
Let c be ((-315)/(-10))/9*-4. Let g be (c/4)/((-10)/(-140)). Let o = g - -53. Solve 2*q = q, 0 = o*h + 4*q for h.
0
Let w = 481 + -478. Suppose 2*b = 6*b + w*b. Solve x = -3*n + 4, b*n + 2*x = 2*n - 8 for n.
2
Let g = -154 - -149. Let s be (-3520)/(-224) - (g/(-7) + -1). Solve 0 = 3*i + 2*w - 3*w - s, 0 = -4*w - 16 for i.
4
Suppose 0 = -53*p + 62*p - 4338. Let y = p + -480. Solve 2*h - 3*w + 7*w - 4 = 0, 2*w - y = -5*h for h.
0
Let s(j) = 2*j - 7. Let c be s(1). Let y be (c/(-10))/(6/36). Solve 3*z = 2*m + 2, z + 4 - 14 = y*m for m.
-4
Let g(u) = -u**3 + 48 - u**2 - 45 + 23*u - 13*u. Let o be g(2). Solve 3*b - o = -2, b - 7 = -4*x for x.
1
Let s = -783 + 763. Let m be (-450)/(-12) - s/(-8). Solve -5*y + m = 4*w, y + 19 = 5*w - y for w.
5
Let v be (-340)/(-13) + (40/52)/(-5). Solve d + v = -5*p, -4*d + 2*p - 6 = -12 for d.
-1
Suppose -5*r = -414 - 296. Suppose i - 5*i = 4*w - 88, -3*i = -5*w + r. Solve -5*d - 16 - 24 = 5*g, -4*d - 2*g - w = 0 for d.
-5
Let h be (12/(-2))/(14*(-15)/105). Solve -12 = -o - 5*q, 0 = h*o - 44*q + 43*q - 4 for o.
2
Let s(r) = r**2 - 107*r + 2821. Let b be s(47). Solve -74*v + 71*v = -c + 11, v - c = -b for v.
-5
Suppose 145*s = 110*s + 110 + 240. Solve -4*u - s = -3*t + 13, -4*t = -4 for u.
-5
Suppose -3*q = -n - 34 + 143, -11*q + 150 = 2*n. Solve 102*p - n*p = -4*r + 31, -p - 3*r + 15 = 0 for p.
3
Let k = 113 + -98. Let b(r) = r**2 - 18*r + 47. Let d be b(k). Solve d*s = -2*h - 0*s + 8, -5*s = -5 for h.
3
Suppose 28*c + 186*c = 856. Solve -c*x - 2*b = 18 - 20, -4*x = -3*b - 27 for x.
3
Let a(c) = c**3 + 4*c**2 + 3*c + 5. Let o be ((-5)/10)/(3/18). Let l be a(o). Solve q - l*i = -14 - 4, -4 = -i for q.
2
Suppose -2*f + 17 = 3*p - 7*f, -4*p + 32 = -2*f. Let b be (-6)/(-3 + p) - -5. Solve 4*j + 0*j + 8 = 2*h, -b = 2*j - 4*h for j.
-2
Suppose -14 = -6*m - 2. Let x = 14 - 10. Suppose -x*p - 5*j = -5*p + 12, -24 = -m*p - 5*j. Solve -s - 3*s + p = o, -9 = -o - 3*s for o.
0
Let z be -2*1/9*(-27)/3. Suppose 9*f + z*f = 33. Solve 4*i = 2*m + 14, -9 = -f*i - 2*m + 3*m for i.
2
Suppose 3*a - 6 = 3*m, -a + 0*m - 1 = -2*m. Solve 2*x + 5*w - 25 = x, 4*w - 41 = -a*x for x.
5
Let l(b) = 5*b - 5*b + 0*b + b - 18. Let r be l(19). Let h be 5*1 + 0 + -2 + r. Solve 0 = -5*i + 2*s - 18 - 0, 2*i - 4*s + h = 0 for i.
-4
Suppose 4*u - 6 = 2*u. Let h = -2 - -4. Suppose -h*x - 1 = -5. Solve u*z = z - 4, -x*z = 3*n + 1 for n.
1
Let q(z) = z**3 + 5*z**2 - 10*z - 5. Let y be q(2). Solve -c + 17 = 3*v, -y*c + 0*v - 4 = -2*v for c.
2
Let s = 1943 - 1816. Solve -s*i + 24 = -131*i, -y + 13 = -3*i for y.
-5
Let l(f) = -f**2 + 4*f - 7. Let d be l(5). Let n = d + 44. Suppose 7*z = -z + n. Solve 3*i - z*u - 32 = 0, i + 4*i - 30 = 2*u for i.
4
Let y(n) = 2*n**2 - 4*n + 4. Let z = 238 + -236. Let k be y(z). Solve 0 = -4*v - k*a + 24, 5*v - 2*a = a + 14 for v.
4
Suppose 12*o - 653 = 13*o. Let h = o - -669. Solve -2*z = -4*w + h, -z = 4*w - 13 + 3 for z.
-2
Let n be (-2)/(-1 + 5)*(-174)/29. Suppose -12 = -f + 5*a, a - 8 = -2*f + n*a. Solve 0 = -5*s - g, 2*g - 8 + f = -4*s for s.
-1
Let t(y) = -8*y + 3. Let b be t(-3). Suppose 0*l = -9*l + b. Solve 0*z + l*z = -3*a, -3*a - z = 8 for a.
-4
Let u = 91 - -46. Let i = -112 + u. Suppose 0 = -4*z - p - 0*p + 5, 5*p - i = -z. Solve j + 5*l - 10 + 1 = z, -j + 5*l - 11 = 0 for j.
-1
Suppose -4*j + 129 = -6*c + 1, 3*j + 74 = -4*c. Let z be 0 - -5*5*(-4)/c. Solve -5*x = -z*o + 30, o + 0*x - 2*x = 10 for o.
2
Let r = 1598 - 1563. Solve 0 = 4*m - 4*d + 12, 0*m + 5*d - r = -5*m for m.
2
Let g be (-16)/20 + 504/(-45). Let j(s) = -3*s - 16. Let h be j(g). Solve 0*i - 5*u - h = i, 4*i - u - 4 = 0 for i.
0
Suppose 0 = -25*q + 23*q + 236. Let k = -112 + q. Solve 4*o = 5*g - 21, g - 4*o = k*g - 29 for g.
5
Let g(r) be the second derivative of -3*r**3/2 - 30*r**2 + 2*r - 39. Let t be g(-7). Solve 2*o - 3*o + j = 1, t*o - 4*j = -6 for o.
2
Let c = -301 + 298. Let v be -2 + (2 - c) - 3. Solve 5*d + f = -v*d - 19, 5*d + 2*f + 18 = 0 for d.
-4
Suppose -126*v = 114*v - 720. Solve 3*d = -4*n - 12 + 5, 5*d = v*n - 2 for d.
-1
Let q be ((-42)/15)/(2/(-10)). Suppose -8*z = -z - 112. Suppose -13*k - 24 = -z*k. Solve -4*i - 2*o - q = k, -3*i | {
"pile_set_name": "DM Mathematics"
} |
900, 7166, 11982, 18660, 27512?
38850
What comes next: -910161, -3640632, -8191411, -14562492, -22753869?
-32765536
What is the next term in 1282, 2663, 4082, 5557, 7106, 8747, 10498?
12377
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-70508256
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1438623
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139523
What is next in -15862, -17723, -19584, -21445, -23306, -25167?
-27028
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6345
What is the next term in 486, 1855, 4140, 7365, 11554?
16731
What is next in -4562, -13660, -27266, -45374, -67978, -95072, -126650, -162706?
-203234
What is next in 4012460, 4012466, 4012484, 4012520, 4012580, 4012670, 4012796, 4012964?
4013180
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79419487
What is next in 1045024, 1045014, 1044998, 1044976, 1044948, 1044914?
1044874
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432485
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-146725
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-336648
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-338495
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-67286
What is next in -65698, -66953, -68208, -69463, -70718, -71973?
-73228
What comes next: 572, 10929, 44054, 112925, 230520, 409817?
663794
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133520
What is next in 11821905, 11822060, 11822317, 11822676?
11823137
What is the next term in -17137355, -17137364, -17137375, -17137388, -17137403, -17137420, -17137439?
-17137460
What is next in -8899, -4293, 313, 4919?
9525
What is next in -254031, -254034, -254037, -254040, -254043?
-254046
What is the next term in -1193, -4618, -8043, -11468?
-14893
What is the next term in 1607050, 1607091, 1607186, 1607359, 1607634?
1608035
What is the next term in -367553, -735203, -1102869, -1470557, -1838273?
-2206023
What comes next: -216, -120, 120, 534, 1152, 2004, 3120?
4530
What comes next: -4907, -22235, -51133, -91601?
-143639
What is the next term in 801104, 800428, 799752?
799076
What comes next: 3971, 3961, 3995, 4097, 4291, 4601, 5051?
5665
What is next in 180086, 358433, 536780, 715127, 893474?
1071821
What comes next: 24995, 50067, 75139, 100211?
125283
What is next in -1214, -191, 828, 1843, 2854?
3861
What is the next term in -559963, -1119962, -1679963, -2239966, -2799971, -3359978, -3919987?
-4479998
What comes next: 2095, 10319, 24085, 43393, 68243?
98635
What is the next term in -676, -1509, -2652, -4105, -5868, -7941, -10324?
-13017
What comes next: -4024144, -8048290, -12072436?
-16096582
What comes next: -6473873, -12947723, -19421573, -25895423, -32369273?
-38843123
What comes next: 42484, 84994, 127554, 170188, 212920?
255774
What is next in 292998, 292943, 292860, 292749, 292610, 292443, 292248?
292025
What comes next: -107, -181, -313, -491, -703, -937?
-1181
What comes next: -34093, -136425, -306979, -545755, -852753?
-1227973
What comes next: 106898, 107926, 108954?
109982
What is the next term in -108192, -216587, -324986, -433389?
-541796
What is next in 47365, 88390, 129415, 170440?
211465
What is the next term in 2266, 2352, 2500, 2716, 3006, 3376, 3832, 4380?
5026
What is the next term in -45026, -45167, -45308, -45449?
-45590
What comes next: 153578, 307155, 460730, 614303?
767874
What is the next term in 27427756, 27427739, 27427722, 27427705?
27427688
What comes next: 17572, 70579, 158972, 282745, 441892, 636407, 866284?
1131517
What is the next term in 2331407, 4662897, 6994383, 9325865?
11657343
What comes next: -2021362, -4042725, -6064088, -8085451?
-10106814
What is the next term in 491510, 983011, 1474512, 1966013, 2457514?
2949015
What comes next: 301, 1081, 2445, 4513, 7405, 11241?
16141
What comes next: -1444625, -2889178, -4333733, -5778290, -7222849, -8667410, -10111973?
-11556538
What is next in -472, -2075, -4826, -8725?
-13772
What comes next: 401, 4633, 16133, 38537, 75481, 130601?
207533
What is next in 7469, 16061, 24645, 33215, 41765, 50289, 58781, 67235?
75645
What is next in -10916305, -10916304, -10916303?
-10916302
What is next in -1493834, -1493831, -1493828, -1493825?
-1493822
What is the next term in -36, -560, -1992, -4794, -9428, -16356, -26040, -38942?
-55524
What is next in -1781, -6094, -12933, -22298, -34189, -48606?
-65549
What is the next term in 7081, 28568, 64455, 114736, 179405, 258456, 351883?
459680
What is next in 1595, 1067, 207, -985?
-2509
What is the next term in -10546941, -10546931, -10546921, -10546911, -10546901, -10546891?
-10546881
What is next in 851294, 3405172, 7661636, 13620686, 21282322, 30646544?
41713352
What is the next term in -99, 1132, 4449, 10884, 21469, 37236?
59217
What is the next term in -179712, -359420, -539138, -718872, -898628, -1078412?
-1258230
What comes next: 46745, 373923, 1261949, 2991239, 5842209, 10095275?
16030853
What is next in 79178092, 158356183, 237534274?
316712365
What is the next term in 934, 1967, 3188, 4693, 6578?
8939
What is the next term in -173418, -346692, -519974, -693264, -866562, -1039868?
-1213182
What is the next term in -9682, -11366, -14164, -18076, -23102, -29242?
-36496
What is next in -72572067, -72572069, -72572071?
-72572073
What comes next: -239529, -239551, -239573, -239595, -239617, -239639?
-239661
What is next in 5659596, 5659657, 5659718, 5659779, 5659840, 5659901?
5659962
What is next in -42519, -85176, -127823, -170460, -213087, -255704?
-298311
What comes next: 106012, 424205, 954530, 1696987?
2651576
What is next in -58222819, -58222818, -58222817, -58222816, -58222815?
-58222814
What is next in -93517, -188229, -284119, -381181, -479409, -578797?
-679339
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402984
What comes next: -240668601, -240668602, -240668603, -240668604, -240668605?
-240668606
What is the next term in 277, 326, 333, 196, -187, -918?
-2099
What comes next: 373931572, 373931574, 373931576, 373931578, 373931580, 373931582?
373931584
What is next in 3478537, 6957069, 10435599, 13914127, 17392653?
20871177
What is next in 5477, 11325, 17565, 24197, 31221?
38637
What is next in 16478, 34523, 54134, 75311, 98054, 122363?
148238
What comes next: -24158761, -48317523, -72476285, -96635047?
-120793809
What is next in -8901, -34637, -77197, -136575, -212765?
-305761
What comes next: 33210, 67463, 101718, 135975?
170234
What comes next: -322880, -1291613, -2906168, -5166545, -8072744?
-11624765
What is next in 1423, 1845, 2277, 2719, 3171, 3633, 4105?
4587
What is next in 40071, 80234, 120483, 160818?
201239
What is the next term in 23431, 46849, 70261, 93661, 117043, 140401, 163729?
187021
What is next in -265498, -265504, -265494, -265462, -265402, -265308, -265174?
-264994
What comes next: -191714, -382635, -573556?
-764477
What comes next: 162814, 325564, 488264, 650890, 813418, 975824, 1138084, 1300174?
1462070
What is next in -1450, -9556, -31450, -74026, -144178, -248800, -394786?
-589030
What is next in 589, -28220, -115831, -291644, -585059?
-1025476
What is the next term in -51575, -103558, -155533, -207500?
-259459
What is next in 5536, 22129, 49794, 88537, 138364, 199281, 271294?
354409
What comes next: 5675, 19270, 40785, 70220, 107575, 152850?
206045
What is the next term in -46919, -37428, -21611, 532, 29001, 63796?
104917
What is next in 4858, 36558, 122614, 290206, 566514, 978718, 1553998, 2319534?
3302506
What is the next term in 5579, 10744, 15929, 21140, 26383?
31664
What comes next: 541683, 1083363, 1625035, 2166693, 2708331, 3249943?
3791523
What is the next term in 110532, 221059, 331624, 442227, 552868, 663547, 774264?
885019
What comes next: 224372, 227806, 231240, 234674, 238108, 241542?
244976
What comes next: 37299, 36457, 35615, 34773, 33931?
33089
What comes next: 938011, 1876031, 2814049, 3752065, 4690079, 5628091?
6566101
What is the next term in 10974, 11482, 12314, 13470?
14950
What is the next term in 15725, 15829, 15935, 16043, 16153?
16265
What is the next term in -1775194, -3550381, -5325564, -7100 | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 22 is divided by -2 + (p - 1 - -16).
10
Let l(d) = -d**2 + 3*d**3 - 2*d**3 + d - 7*d - 4*d**2 + 5. Let a be l(6). Suppose -m = -a*q - 48, m - 6 - 42 = q. What is the remainder when m is divided by 17?
14
Let h = 215 + -183. What is the remainder when 31*-1*(-2 - 1) is divided by h?
29
Suppose -14 + 69 = 5*r. Suppose r*x = -9 + 284. Calculate the remainder when 70 is divided by x.
20
Calculate the remainder when 40 is divided by 775/25 - (0 + -1*2).
7
Let i(c) = c**3 - 12*c**2 + 12*c + 14. Let a(f) = -f**2 - 5*f + 11. Let k be a(-5). Calculate the remainder when 45 is divided by i(k).
20
Suppose -3*w = -2*u - 40, -2*w = -2*u - u - 20. Let k = -8 - -18. Suppose -m + k = -19. What is the remainder when m is divided by w?
13
Let p = -919 - -653. Let z = 529 + p. What is the remainder when z is divided by 53?
51
Let i = 1015 + -963. What is the remainder when 1765 is divided by i?
49
Let x be (-14)/4*(-24)/7. Let u = x + -10. What is the remainder when 4 is divided by u?
0
Let m(z) = -169*z - 1. Let w be m(-1). Suppose -10*l - w = -13*l. Suppose 0 = -4*i + u + 79, -5*u + 88 = 5*i + 8. What is the remainder when l is divided by i?
18
Let y(t) = -t**3 - 9*t**2 - 8*t - 12. What is the remainder when y(-9) is divided by 32?
28
Let r be (5/(-15))/((-2)/12). Suppose -l = 5*m - 24, r*l - 2*m = -l + 4. Suppose l*d = 5*d - 13. What is the remainder when 23 is divided by d?
10
What is the remainder when 114/(-18) - -6 - (-190)/3 is divided by 13?
11
Suppose 0 = g + 3 - 20. Suppose g = m - 4. What is the remainder when m is divided by 4/16 - (-43)/4?
10
Let k(x) = x + 21. Let i be k(-13). Suppose -3*d - z = i - 135, -5*z = d - 19. Let w(u) = -14*u**3 - 2*u - 1. What is the remainder when d is divided by w(-1)?
14
Let q be 38/6 + 2/(-6). Let u be -4 + (-4)/q*-6. Let r = 24 - u. What is the remainder when r is divided by 13?
11
Suppose 2*h = -0*s - 5*s + 1421, 0 = -3*s - 5*h + 845. Suppose -21 + s = 8*q. What is the remainder when 96 is divided by q?
30
Let x = 60 - 36. Suppose m + 3*m = x. Calculate the remainder when 51 is divided by (13/(-3))/(m/(-18)).
12
Let h(o) = -3*o + 19. Let a be h(3). Suppose -189 = -a*y + 3*y. What is the remainder when y is divided by 14?
13
Let g = -113 + 193. Suppose 3*w = -w + g. Let l = 865 + -786. What is the remainder when l is divided by w?
19
Let v(t) = -24*t - 95. Suppose 5*y + 5*l - 130 = 0, -y - 2*l - 19 + 49 = 0. Let k = 39 - y. What is the remainder when v(-6) is divided by k?
15
Let k(i) = 2*i - 21. Let z be k(6). Let d = 27 + z. Calculate the remainder when d is divided by 10.
8
Suppose 2*i - 53 + 19 = 0. What is the remainder when 83 is divided by i?
15
Let v(n) = 5*n - n - 9 + 33. Calculate the remainder when v(-3) is divided by 9.
3
Let p(w) = 3*w**2 + 16*w - 116. Calculate the remainder when 67 is divided by p(5).
28
Suppose -3*w - 129*n + 81 = -132*n, 3*w - 2*n = 77. Calculate the remainder when 1102 is divided by w.
21
Suppose 5*c = -3*q + 250, -2*q = c - 61 - 101. Let z = -29 + q. Let h = -32 + z. Calculate the remainder when h is divided by 4.
3
Suppose -171 = -r - 167. Let b be ((-4)/6)/((-3)/9). Suppose -8 = p - b*p + 4*v, 2*p - 16 = -r*v. What is the remainder when 29 is divided by p?
5
Suppose 7*o - 138 - 51 = 0. What is the remainder when 323 is divided by o?
26
Calculate the remainder when 22 is divided by ((-38)/3)/(18/(-27)).
3
Let l(p) = 87*p + 369. Calculate the remainder when l(0) is divided by 76.
65
Let h(n) = 8*n + 612. Calculate the remainder when h(-54) is divided by 91.
89
Let d be (4/(-2))/(4/(-42)). Let p = -1306 - -2467. Calculate the remainder when p/d - (-4)/(-14) is divided by 14.
13
Let j(r) = -4*r**2 + 11 - r**3 + 6*r + 5*r**3 - 4*r**2 - 3*r**3. What is the remainder when 9 is divided by j(7)?
1
Let n(y) = 57*y - 1237. What is the remainder when 83 is divided by n(22)?
15
Suppose 5*k - 2*k + 3 = 0. Let t be 4/k - -3 - -49. Let b = t + -12. Calculate the remainder when b is divided by 19.
17
Let r = -18 - -31. Let h = -6 + r. What is the remainder when 10 is divided by h?
3
Suppose 3*j - 5*x = 131, j - 5*x - 28 = -1. Suppose 0 = 4*h - 5*w + 2*w - j, -h + 5*w = -13. What is the remainder when h is divided by 3?
1
Let f be 80/(1*(0 - -1)). Calculate the remainder when (48/f)/((-2)/(-410)) is divided by 31.
30
Let k(j) = j**3 + 36*j**2 + 33*j - 7. Calculate the remainder when k(-35) is divided by 13.
11
Suppose -4*p = 5*a - 190, 2*p + 0*p = -a + 38. Let c = 5 + -2. What is the remainder when a is divided by 26*4/24*c?
12
Let o(t) = -t**2 - 6*t - 6. Let k be o(-4). Suppose 4*m = k*m + 100. Calculate the remainder when m is divided by 14 - 1/(4/4).
11
Suppose 592 = 2*c + 6*c. Let f = c - 49. Suppose -10 = -5*n + 5*b, 3*n - 1 - 10 = 2*b. What is the remainder when f is divided by n?
4
Let c(n) = -3*n. Let j be c(-4). Let d be (j/21)/((-8)/(-28)). Suppose 0 = -w + d*q - 2 + 12, -3*w + q + 25 = 0. What is the remainder when w is divided by 2?
0
Let m be 229/5 + (-6)/(-30). Suppose -2*f = d - 123, -134 = -3*f + 3*d + m. Calculate the remainder when f is divided by (-7 + 6)/(1*1/(-21)).
19
Let y(h) = -8*h + 6. Let z be y(-8). Suppose -f = -2*f + 2. What is the remainder when z/25 - 2/(-10) is divided by f?
1
Let c = 138 + -231. Let l = -62 - c. Calculate the remainder when 185 is divided by l.
30
Let n = -9 - -24. Calculate the remainder when 2 - (2 - 56/2) is divided by n.
13
Let y be (90 - -1) + 28/7. Suppose 19*p - y = 14*p. Calculate the remainder when 67 is divided by p.
10
Let q = 135 - 13. Calculate the remainder when q is divided by 42.
38
Suppose -b + 8 + 17 = -3*i, -5*b - 2*i = -74. Calculate the remainder when 284 is divided by b.
12
Let v(h) = -h**3 + 13*h**2 + h - 19. Let r be v(13). Suppose 0 = -3*z - z + 16. What is the remainder when 19 + (-12)/(r/(-2)) is divided by z?
3
What is the remainder when 318 is divided by (-689)/(-13) + 12 - -2?
50
Suppose 5*u = -2*r + 27, -1 - 2 = 3*u. Let t(l) = l**2 - l + 4. Let y be t(-6). Let s = y + -17. What is the remainder when s is divided by r?
13
Let l = -12 - -15. Let s be 20/3 + 1/l. Let v(k) = -k**2 + 8*k + 5. Calculate the remainder when 35 is divided by v(s).
11
Suppose 119 = w - 5*d - 280, -w - 4*d = -426. What is the remainder when w is divided by 7?
1
Let w(s) = 6*s**3 + 2*s**2 - 2*s + 2. Let m be w(2). Suppose 6*u - m = 3*u. Suppose 0 = 2*a - 3*a + 34. What is the remainder when a is divided by u?
16
Suppose -2*a + 175 = -h, -2 = -5*h - 7. What is the remainder when a is divided by 52?
35
Let r(m) = -m**2 - 8*m + 2. Let o(u) = 2*u**2 + 8*u - 1. Let l(x) = 2*o(x) + 3*r(x). Calculate the remainder when l(9) is divided by 7.
6
Suppose -3*c + 37 = -2. Let w(k) = 9*k**2 + 3*k + 5. What is the remainder when w(-3) is divided by c?
12
Let t(d) = d**3 + 33*d**2 + 4*d + 148. What is the remainder when t(-33) is divided by 6?
4
Suppose 33 = 5*s - 72. Calculate the remainder when ((-492)/9)/(s/9 - 3) is divided by 14.
12
Let j = -19 + 21. Suppose -j = 3*f - 26. Calculate the remainder when f is divided by 6.
2
Let r(p) = 2*p**3 - 38*p**2 + 37*p - 8. Suppose 27 = m + 8. What is the remainder when m is divided by r(18)?
9
Suppose 67 = 7*u + 5*q, 6*q = 3*u + 4*q - 8. Let c = 8 - 1. Suppose -c*o = -2*o - 45. What is the remainder when o is divided by u?
3
Let n(m) = 72*m - 93. What is the remainder when n(2) is divided by 7?
2
Suppose -106*t = -113*t + 371. What is the remainder when t is divided by 14?
11
Let o(a) = -a**3 + 35*a**2 + 115*a + 33. Calculate the remainder when o(38) is divided by 28.
15
Let p(o) = -o**3 - 16*o**2 - 25*o - 56. What is the remainder when p(-15) is divided by 7?
3
Suppose -14*z + 86 = 2. What is the remainder when z is divided by (1 - (-9)/(-5))*-5?
2
Let w be (-2)/4*-3 + (-137)/2. Let l = w + 136. Suppose 0 = b - 12 - 6. Calculate the remainder when l is divided by b.
15
Calculate the remainder when (-60)/(-45) - 1923/(-9) is divided by 27.
26
Suppose -2*y - 5*h + 26 = 0, 2*y - 2*h = 4*y - 32. Calculate the remainder when 593 is divided by y.
17
Let p = 117 - 88. What is the remainder when 45 is divided by p?
16
Let o(p) = p**3 + 20*p**2 - 30*p - 47. Calculate the remainder when o(-21) is divided by 18.
16
Let x(h) = h**2 + 13*h + 83. Calculate the remainder when x(-13) is divided by 37.
9
Sup | {
"pile_set_name": "DM Mathematics"
} |
5, 853
What are the prime factors of 35?
5, 7
List the prime factors of 1856.
2, 29
What are the prime factors of 1970?
2, 5, 197
What are the prime factors of 2295?
3, 5, 17
List the prime factors of 1598.
2, 17, 47
What are the prime factors of 52070?
2, 5, 41, 127
What are the prime factors of 689?
13, 53
What are the prime factors of 33223?
33223
What are the prime factors of 369?
3, 41
What are the prime factors of 2340?
2, 3, 5, 13
What are the prime factors of 1056?
2, 3, 11
What are the prime factors of 2238?
2, 3, 373
What are the prime factors of 15709?
23, 683
What are the prime factors of 8272?
2, 11, 47
List the prime factors of 17221.
17, 1013
What are the prime factors of 1048?
2, 131
What are the prime factors of 291?
3, 97
List the prime factors of 15776.
2, 17, 29
List the prime factors of 34939.
34939
List the prime factors of 17517.
3, 5839
What are the prime factors of 449?
449
List the prime factors of 90.
2, 3, 5
What are the prime factors of 3171?
3, 7, 151
What are the prime factors of 118586?
2, 13, 4561
What are the prime factors of 38601?
3, 4289
List the prime factors of 1553.
1553
What are the prime factors of 96?
2, 3
What are the prime factors of 23963?
31, 773
What are the prime factors of 77124?
2, 3, 6427
What are the prime factors of 7258?
2, 19, 191
List the prime factors of 7469.
7, 11, 97
What are the prime factors of 97070?
2, 5, 17, 571
What are the prime factors of 4207?
7, 601
What are the prime factors of 67539?
3, 47, 479
What are the prime factors of 27234?
2, 3, 17, 89
What are the prime factors of 4263?
3, 7, 29
List the prime factors of 5790.
2, 3, 5, 193
List the prime factors of 89280.
2, 3, 5, 31
List the prime factors of 1784.
2, 223
List the prime factors of 6933.
3, 2311
List the prime factors of 31613.
101, 313
What are the prime factors of 27172?
2, 6793
List the prime factors of 2546.
2, 19, 67
List the prime factors of 1562.
2, 11, 71
What are the prime factors of 663?
3, 13, 17
List the prime factors of 227.
227
List the prime factors of 9106.
2, 29, 157
List the prime factors of 401.
401
List the prime factors of 6341.
17, 373
List the prime factors of 5759.
13, 443
List the prime factors of 10283.
7, 13, 113
What are the prime factors of 1185?
3, 5, 79
What are the prime factors of 36266?
2, 18133
What are the prime factors of 1998?
2, 3, 37
List the prime factors of 759.
3, 11, 23
What are the prime factors of 81463?
81463
List the prime factors of 6588.
2, 3, 61
What are the prime factors of 962?
2, 13, 37
What are the prime factors of 157?
157
List the prime factors of 17534.
2, 11, 797
What are the prime factors of 68886?
2, 3, 43, 89
What are the prime factors of 16856?
2, 7, 43
What are the prime factors of 93344?
2, 2917
List the prime factors of 620.
2, 5, 31
List the prime factors of 2018.
2, 1009
List the prime factors of 6237.
3, 7, 11
What are the prime factors of 13563?
3, 11, 137
List the prime factors of 14536.
2, 23, 79
List the prime factors of 156.
2, 3, 13
List the prime factors of 46227.
3, 19, 811
What are the prime factors of 1664?
2, 13
What are the prime factors of 1696?
2, 53
List the prime factors of 1166.
2, 11, 53
What are the prime factors of 1263?
3, 421
What are the prime factors of 781?
11, 71
What are the prime factors of 3671?
3671
List the prime factors of 2913.
3, 971
List the prime factors of 16497.
3, 13, 47
List the prime factors of 1786.
2, 19, 47
What are the prime factors of 718?
2, 359
List the prime factors of 149921.
149921
What are the prime factors of 45833?
45833
List the prime factors of 66367.
7, 19, 499
List the prime factors of 8703.
3, 967
What are the prime factors of 80523?
3, 23, 389
What are the prime factors of 5354?
2, 2677
What are the prime factors of 9022?
2, 13, 347
List the prime factors of 10360.
2, 5, 7, 37
What are the prime factors of 1189?
29, 41
What are the prime factors of 585?
3, 5, 13
List the prime factors of 4541.
19, 239
List the prime factors of 145231.
17, 8543
List the prime factors of 869.
11, 79
What are the prime factors of 1978?
2, 23, 43
List the prime factors of 160706.
2, 7, 13, 883
What are the prime factors of 88547?
88547
What are the prime factors of 10521?
3, 7, 167
List the prime factors of 39.
3, 13
List the prime factors of 1997.
1997
List the prime factors of 734.
2, 367
List the prime factors of 86920.
2, 5, 41, 53
What are the prime factors of 381?
3, 127
List the prime factors of 8181.
3, 101
List the prime factors of 3218.
2, 1609
List the prime factors of 52096.
2, 11, 37
What are the prime factors of 581?
7, 83
What are the prime factors of 2325?
3, 5, 31
What are the prime factors of 280?
2, 5, 7
List the prime factors of 644.
2, 7, 23
List the prime factors of 29995.
5, 7, 857
What are the prime factors of 2413?
19, 127
What are the prime factors of 4510?
2, 5, 11, 41
List the prime factors of 448.
2, 7
List the prime factors of 13402.
2, 6701
What are the prime factors of 2257?
37, 61
What are the prime factors of 1132?
2, 283
List the prime factors of 8262.
2, 3, 17
List the prime factors of 36931.
36931
List the prime factors of 4676.
2, 7, 167
What are the prime factors of 545?
5, 109
What are the prime factors of 3736?
2, 467
What are the prime factors of 10541?
83, 127
What are the prime factors of 810?
2, 3, 5
List the prime factors of 6686.
2, 3343
List the prime factors of 1235.
5, 13, 19
What are the prime factors of 9627?
3, 3209
List the prime factors of 727.
727
List the prime factors of 4330.
2, 5, 433
What are the prime factors of 41993?
7, 857
What are the prime factors of 4158?
2, 3, 7, 11
List the prime factors of 2951.
13, 227
What are the prime factors of 1615?
5, 17, 19
What are the prime factors of 1899?
3, 211
List the prime factors of 8273.
8273
What are the prime factors of 37842?
2, 3, 7, 17, 53
List the prime factors of 1801.
1801
List the prime factors of 23053.
23053
List the prime factors of 205.
5, 41
What are the prime factors of 26917?
11, 2447
What are the prime factors of 8799?
3, 7, 419
List the prime factors of 4351.
19, 229
What are the prime factors of 7148?
2, 1787
List the prime factors of 161.
7, 23
What are the prime factors of 44890?
2, 5, 67
List the prime factors of 5634.
2, 3, 313
List the prime factors of 8062.
2, 29, 139
List the prime factors of 41571.
3, 31, 149
List the prime factors of 3364.
2, 29
What are the prime factors of 15?
3, 5
List the prime factors of 260.
2, 5, 13
List the prime factors of 21959.
7, 3137
What are the prime factors of 1383?
3, 461
List the prime factors of 134969.
139, 971
List the prime factors of 1305.
3, 5, 29
List the prime factors of 5414.
2, 2707
What are the prime factors of 1726?
2, 863
What are the prime factors of 1806?
2, 3, 7, 43
List the prime factors of 1348.
2, 337
What are the prime factors of 1356?
2, 3, 113
List the prime factors of 42811.
31, 1381
List the prime factors of 55828.
2, 17, 821
What are the prime factors of 567?
3, 7
What are the prime factors of 3345?
3, 5, 223
List the prime factors of 1201.
1201
List the prime factors of 16662.
2, 3, 2777
List the prime factors of 45593.
127, 359
List the prime factors of 73999.
73999
List the prime factors of 11399.
11399
List the prime factors of 89481.
3, 7, 4261
What are the prime factors of 5766?
2, 3, 31
What are the prime factors of 64671?
3, 21557
What are the prime factors of 641?
641
What are the prime factors of 36157?
11, 19, 173
What are the prime factors of 382?
2, 191
List the prime factors of 38044.
2, 9511
What are the prime factors of 118?
2, 59
What are the prime factors of 3881?
3881
What are the prime factors of 1776?
2, 3, 37
List the prime factors of 17756.
2, 23, 193
What are the prime factors of 114607?
31, 3697
List the prime factors of 651.
3, 7, 31
What are the prime factors of 99552?
2, 3, 17, 61
What are the prime factors of 727?
727
What are the prime factors of 32792?
2, 4099
What are the prime factors of 980?
2, 5, 7
What are the prime factors of 2541?
3, 7, 11
What are the prime factors of 1767?
3, 19, 31
List the prime factors of 3451.
7, 17, 29
List the prime factors of 933.
3, 311
List the prime factors of 1369.
37
List the prime factors of 135615.
3, 5, 9041
List the prime factors of 1597.
15 | {
"pile_set_name": "DM Mathematics"
} |
der.
q, k, -5
Suppose -2*s = 1 + 9. Let h be 1/3 - (-8)/3. Sort -3, s, h.
s, -3, h
Suppose 25 = 3*d + 2*d. Suppose 0 = 3*v - 3*x + 8*x + d, 3*v - 35 = 5*x. Sort -2, -1, v in ascending order.
-2, -1, v
Let p(n) = n**2 + 4*n + 4. Let l be p(-4). Suppose 0 = z - l*z + 6. Sort 1, -1, z.
-1, 1, z
Let d = -6 - -7. Sort d, -0.2, 0.2 in increasing order.
-0.2, 0.2, d
Suppose 5*d + 3*w - 38 = 0, w = 5*d - 4*w - 30. Put d, -2, -3 in ascending order.
-3, -2, d
Let w be 1/6 + (-280)/(-48). Let a(v) = v**3 - 7*v**2 + 6*v + 4. Let j be a(w). Put -3, j, -4 in descending order.
j, -3, -4
Suppose -5*b + 15 = -0*b. Suppose -5*i + 2*c - 3*c + 25 = 0, 0 = -4*i - 3*c + 31. Let n(y) = y**3 - y + 1. Let m be n(1). Put m, b, i in descending order.
i, b, m
Let i be (-4)/(-14) - (-282)/42. Suppose m + i = 16. Sort m, -4, 5 in ascending order.
-4, 5, m
Let a(t) = t**3 - 11*t**2 + 9*t + 13. Let p be a(10). Put -1, -2, 1, p in increasing order.
-2, -1, 1, p
Suppose -3*l = -4*q + q + 12, q = -5*l + 4. Put l, 3, -1 in descending order.
3, l, -1
Let m = -3.2 - -6.5. Let j = m - 0.3. Sort 1, 2, j in increasing order.
1, 2, j
Let p(g) = g**2 - g - 4. Let w be p(-2). Sort 5, w, 0.
0, w, 5
Let p(u) = -3*u**2 - 8*u - 3. Let t be p(-3). Put t, -1, 2 in ascending order.
t, -1, 2
Let c = 2.6 - 7.7. Let n = c - -5. Let u be (-33)/(-21) + 1 + -2. Sort u, 1/5, n in decreasing order.
u, 1/5, n
Let f(y) = y**2 + 6*y + 2. Let j be f(-4). Let b = j + 7. Sort -2/7, b, -1/8.
-2/7, -1/8, b
Let p = 32/11 - 3. Sort 0, p, 4 in decreasing order.
4, 0, p
Let w = -7/2 - -4. Let u(f) = 14*f - 17*f - 2 + 1. Let d be u(1). Sort w, d, 0.1 in ascending order.
d, 0.1, w
Let i = -222/5 + 44. Let h = 0.95 - -0.05. Let x = h - 1.3. Sort x, i, -2 in decreasing order.
x, i, -2
Let y be 2 + 0 + 11 + -2. Suppose -w = -5*g + w + y, -2*w - 2 = -2*g. Put 12, 1, g in descending order.
12, g, 1
Let t(d) = -d**3 - 3*d**2 + 5*d + 5. Let l be t(-4). Sort -4, l, -5.
-5, -4, l
Let k = -0.36 - -1.36. Put -5, -2/11, k in ascending order.
-5, -2/11, k
Let s(n) = 3*n**2 + 3*n + 4. Let g be s(-2). Sort g, 3, -2 in descending order.
g, 3, -2
Let k = -7/60 - 2/15. Sort k, 2, -2, 3 in decreasing order.
3, 2, k, -2
Let d = 3.6 - 3.6. Sort -0.4, d, -4.
-4, -0.4, d
Suppose 12*s = 7*s - 25. Put 0.1, -2, -4, s in descending order.
0.1, -2, -4, s
Let d(v) = -v**3 - 5*v**2 + 6*v + 3. Let s be d(-6). Sort s, 2, 0 in increasing order.
0, 2, s
Let b = 0.61 + -0.01. Let u = 3.4 + b. Let g = 0.01 + -0.31. Sort u, 0.2, g.
g, 0.2, u
Suppose 2*y - 2 - 8 = 0. Let p be (-4)/(-2)*1/y. Let z = -85/88 - -12/11. Put -2/13, p, z in decreasing order.
p, z, -2/13
Let i = -3 - -2. Let k = i - -1.4. Put 1/2, -0.4, k in descending order.
1/2, k, -0.4
Let r = 444 - 303. Let a be 4/18 + r/(-27). Sort a, -3, 0 in decreasing order.
0, -3, a
Let o = 56 + -57. Put 5, o, 2 in increasing order.
o, 2, 5
Let p be 4 - ((-24)/(-84) - (-38)/14). Let l = -10 - -6. Sort l, p, 2.
l, p, 2
Suppose -y - 1 = 2*s, 4*s + 7 - 2 = y. Let z be (2/(-22))/(1/(-2)). Sort y, z, -2/9 in descending order.
y, z, -2/9
Let a = 11 + -10. Let c = a + -5. Sort c, 9, -5 in descending order.
9, c, -5
Let f(i) = 5*i + 34. Let n be f(-7). Sort n, -4, -2 in decreasing order.
n, -2, -4
Let y be (0 - 2)/(21/(-2 - -5)). Let a(o) = -o**3 - 6*o**2 - 5*o + 3. Let k be a(-5). Suppose -2*v + 10 = k*v. Sort y, -3, v in ascending order.
-3, y, v
Let r = -3.1 - -0.1. Put 2/3, r, -2 in ascending order.
r, -2, 2/3
Let b = -12.1 - -3.1. Sort -2, 1, b in descending order.
1, -2, b
Let u = 105 - 429. Let b = u - -4210/13. Sort b, 1, 1/8 in descending order.
1, 1/8, b
Let l = -0.1 + 0.1. Let g = 0.4 - l. Let y be (-2)/4 + (-35)/(-42). Sort y, -3, g.
-3, y, g
Let f = -29 + 27. Suppose 3*q + 4*b = 17, 4*b + 0 - 21 = q. Put q, 4, f in increasing order.
f, q, 4
Let h = -1477/1188 + -2/297. Let k = 0.4 - -3.6. Put 1/2, k, h in decreasing order.
k, 1/2, h
Suppose 3*a + 5 = -13. Let p(t) = t**3 + 5*t**2 - 6*t + 2. Let o be p(a). Let v(u) = -3*u - 14. Let l be v(-4). Sort o, l, -3.
-3, l, o
Let c be -2 + 0 - (-14 - -6). Suppose -s = -0*j - 3*j + c, 18 = 2*j + 4*s. Suppose -j = -b + 2. Put -4, b, -5 in increasing order.
-5, -4, b
Let o be (5/8 - -1) + -2. Let r = -2.7 + 6.7. Put 0.3, r, o in descending order.
r, 0.3, o
Let g = -120.3 + 120. Sort g, 0.5, -0.01, 2/5 in descending order.
0.5, 2/5, -0.01, g
Let v = 4.97 + -5. Let n = 4 + -3.7. Sort n, v, 2/5.
v, n, 2/5
Suppose 0 = -l - 2*l - 6. Sort 2, l, 8.
l, 2, 8
Let g = 0 + -0.16. Let p = 0.06 + g. Let n = -101/12 + 33/4. Sort p, 3/2, n in decreasing order.
3/2, p, n
Let m(u) be the third derivative of -u**4/12 - u**3/2 + u**2. Let l(w) = -w**3 - 6*w**2 - 2. Let x be l(-6). Let c be m(x). Sort c, 0, 5 in descending order.
5, c, 0
Let x = 1509/7 - 216. Put x, 0.05, -5, 0.5 in ascending order.
-5, x, 0.05, 0.5
Let f = -1 - -3. Sort f, 3/5, 1/10, -0.5 in ascending order.
-0.5, 1/10, 3/5, f
Let q = 8 - 9. Suppose 0 = 4*j + j - 10. Let k = j - q. Put -1, k, -3/7 in ascending order.
-1, -3/7, k
Let y = 461/5 - 93. Let r = -83 + 85. Sort r, -0.2, y in decreasing order.
r, -0.2, y
Let t = -167/228 - 1/57. Let q = 0 - 0.1. Let l = 0 + q. Put l, t, -4 in descending order.
l, t, -4
Suppose -6 = -2*v + 3*q, 3*v + q = -q - 17. Sort -6, -0.3, -2, v in decreasing order.
-0.3, -2, v, -6
Suppose 3 = 4*f - 0*f + 5*s, -5*f + 4*s - 27 = 0. Let m be (-1 + 1)/((-4)/(-4)). Let a = 1 + m. Sort 5, a, f in descending order.
5, a, f
Let i = -13081705/709 + 18451. Let t = i - -18617/25524. Let x = t + -5/9. Sort x, -5, 3/7 in decreasing order.
3/7, x, -5
Let d be (-7)/1 - (-1 - 2). Put 1, d, 0 in ascending order.
d, 0, 1
Let r = 4 + 1. Suppose 5*w - 1 = 4*o, 0*o - r*w + 6 = o. Let j = 2 + -4. Sort -4, j, o.
-4, j, o
Let t = -266 + 1069/4. Let u(j) = -j + 2. Let s be u(1). Sort s, t, 5 in descending order.
5, t, s
Let k = 12.24 - 143.34. Let x = -137 - k. Let u = 0.9 + x. Sort 0, -0.3, u in increasing order.
u, -0.3, 0
Let s be (-1 - -1)/(-1 + 0). Put -4, -15, s in increasing order.
-15, -4, s
Suppose -2*z + y = -y, -3*z - 5*y = -40. Let h(o) = -o**2 + o + 1. Let v be h(0). Sort v, -3, z in ascending order.
-3, v, z
Suppose -5*t = -3*t + 22. Let d = t - -6. Sort d, -4, 5 in descending order.
5, -4, d
Let h = -29 + 32. Put h, 2, 4 in increasing order.
2, h, 4
Let q = -1/38 - -81/190. Let n = -1889 + 1911.02. Let f = n - 22. Sort f, q, 0 in ascending order.
0, f, q
Suppose 3*a - 3*o = -2*o + 2, -3*a - 2 = -2*o. Sort 3, a, 1 in decreasing order.
3, a, 1
Let g be 4*(-2)/(-4) - 1. Let t be -5 - -7 - 1*2. Sort g, -4, t in decreasing order.
g, t, -4
Let x = -10 - -5. Let c = -8.99 - 0.01. Let n = -6 - c. Sort x, -4, n.
x, -4, n
Suppose -v = 5*c - 4, 0 = -3*c + 4*v - 0*v + 7. Let y = 4 - c. Let f = 2 + -3. Put 2, f, y in decreasing order.
y, 2, f
Let a(r) = -r**2 - 10*r - 19. Let j be a(-7). Put -35, -3, j in ascending order.
-35, -3, j
Let a be 2/1 - 0/2. Sort a, -2, -1.
-2, -1, a
Let j be (-2)/4 - (20/8 - 3). Suppose -x - 10 = 4*x. Put x, 2, j in decreasing order.
2, j, x
Let w = 379/5 + -75. Let r = -1 + w. Put -2, -3/2, r in increasing order.
-2, -3/2, r
Let b = -105 - -118. Sort -5, b, -3.
-5, -3, b
Let w(s) = -s**3 + 3*s**2 - 4. Let y be w(3). Let c be 0 - (0 + y/(-2)). Sort -1, 3, c in descending order.
3, -1, c
Let m = 13 + -10. Suppose 2*i = -j - 15 + m, 8 = -3*j + i. Put j, 5, 1 in descending order.
5, 1, j
Let g = 0.49 + 0.01. Let z = -1 - -1. Let r = -1.1 - 3.9. Put g, z, r in increasing order.
r, z, g
Suppose -3*v - 8 = v. Let b be (5/2)/(v/4). Let q be (-6)/(-3 + (-36)/(-8)). Sort q, b, -3 in descending order.
-3, q, b
Let r = -0.9 + 5.7. Let z = -5 + r. Let d be (-2)/(-10) - 0/1. Sort d, 1/4, z in descending order.
1/4, d, z
Let z = -139 - -110. Put -4, z, 1 in decreasing order.
1, -4, z
Suppose -4*v + 0*v + 17 = 3*t, 2 = -2*t. Let b(d) = -d**2 - 14*d + 3. Let z be b(-14). Sort -3, z, v in descending order.
v, z, -3
Suppose 2*u + 0*u = 5*c - 10, u + 5 = -3*c. Let d = -36 - -34. Put d, c, -5 in increasing order.
-5, d, c
Let v(g) = 4*g + 5. Let a be v(0). Sort 6, 2, a, 1 in decreasing order.
6, a, 2, 1
Suppose 0 = 5*b - 3*p - 13, -9 = -b - b + 5*p. Suppose 4*o - 3 = 1. Sort o, -2, b in increasing order.
-2, o, b
Suppose 0 = -4*n + 2 - 6. Put n, 2/5, 2/9 in increasing order.
n, 2/9, 2/5
Let | {
"pile_set_name": "DM Mathematics"
} |
35)/(-2*sqrt(5)).
-3 + sqrt(7)/2
Simplify (-5*sqrt(270)/sqrt(10))/sqrt(9).
-5*sqrt(3)
Simplify (4*sqrt(34)/sqrt(2) + (sqrt(204) + -2*sqrt(204))/sqrt(12))**2.
153
Simplify -2*sqrt(275) + 3.
-10*sqrt(11) + 3
Simplify -1*(5 + -1*sqrt(7) + 5).
-10 + sqrt(7)
Simplify (-6*(sqrt(66) - (sqrt(66) - (sqrt(66) + -3*sqrt(66)))) + sqrt(66))/(3*sqrt(600)).
13*sqrt(11)/30
Simplify (sqrt(27) + -2*sqrt(3888))**2 - (sqrt(243)*1 - sqrt(27)).
-6*sqrt(3) + 14283
Simplify 3 + sqrt(192) + 1 + sqrt(192) - sqrt(192) - (0 + sqrt(192) + -4).
8
Simplify (6*(0 + sqrt(7) + sqrt(7) + sqrt(7)*-2))**2*3.
0
Simplify (sqrt(132)*-3*-4 + sqrt(132) - sqrt(132))/(sqrt(12) - sqrt(24)/(-1*sqrt(2))).
6*sqrt(11)
Simplify (sqrt(250)/(sqrt(30)/sqrt(3)))/(sqrt(5) + sqrt(45) + sqrt(180)/sqrt(4)).
sqrt(5)/7
Simplify sqrt(13) - sqrt(208)*1 - (sqrt(65) + sqrt(65) + sqrt(65)*-1)/sqrt(5).
-4*sqrt(13)
Simplify (sqrt(56)/(sqrt(8) + 6*sqrt(48)/sqrt(6)))**2.
1/7
Simplify sqrt(78)/(-2*sqrt(96)).
-sqrt(13)/8
Simplify -4*5*sqrt(11)*-2*-5.
-200*sqrt(11)
Simplify (sqrt(80) + sqrt(80)*2 - sqrt(80))/sqrt(10).
4*sqrt(2)
Simplify (1*sqrt(6655))/sqrt(5)*-5.
-55*sqrt(11)
Simplify ((sqrt(210) + sqrt(210)*1 + sqrt(210))/sqrt(10))/sqrt(252).
sqrt(3)/2
Simplify 1*sqrt(17)*2 - (sqrt(85)/(sqrt(5)*4) + sqrt(17) - sqrt(17)).
7*sqrt(17)/4
Simplify (1*(sqrt(208) + sqrt(208)*2) - sqrt(208))**2 - ((sqrt(13)*2 + -3 + sqrt(13))**2 + -3).
18*sqrt(13) + 709
Simplify (-5*(sqrt(325) - 1*sqrt(325)))**2 - ((1*sqrt(117)*-2)/sqrt(9))**2.
-52
Simplify (-3*(-1*sqrt(425) - sqrt(153)/(sqrt(27)/sqrt(3))))**2.
5508
Simplify (sqrt(55) - (sqrt(55) - 1*sqrt(6655)))/sqrt(11)*-3.
-33*sqrt(5)
Simplify ((-6*sqrt(171)/sqrt(3))/(sqrt(144)/sqrt(12)))**2.
171
Simplify ((0 + sqrt(19))*5*1)**2.
475
Simplify ((2*sqrt(408))/sqrt(12))/sqrt(2).
2*sqrt(17)
Simplify -6*(5*sqrt(1584) + 3).
-360*sqrt(11) - 18
Simplify (-3*(2*sqrt(72) + -1 + -1*(sqrt(72) + 1)))**2.
-216*sqrt(2) + 684
Simplify -4*(sqrt(11) + sqrt(704) + 2 + sqrt(11)).
-40*sqrt(11) - 8
Simplify ((sqrt(51)/sqrt(3)*-6)**2 - sqrt(17))*6.
-6*sqrt(17) + 3672
Simplify (((-2*sqrt(363))/sqrt(11) + sqrt(33))/((sqrt(44)/sqrt(2))/sqrt(2)))**2.
3
Simplify (3 + (sqrt(7) + 0)*-4)**2.
-24*sqrt(7) + 121
Simplify (-1 + sqrt(1573))**2 - (sqrt(13) - 5*(sqrt(13) + -1)**2).
-33*sqrt(13) + 1644
Simplify sqrt(114)/(1*sqrt(216) + sqrt(216)).
sqrt(19)/12
Simplify (sqrt(245) + -1 + (4 + (sqrt(20)/sqrt(4))**2 - sqrt(5)))*4*4.
128 + 96*sqrt(5)
Simplify -5 + -2*sqrt(700) + sqrt(700) + -3.
-10*sqrt(7) - 8
Simplify (sqrt(180)/(2*sqrt(5)))/(2*sqrt(24)/sqrt(2)).
sqrt(3)/4
Simplify (3 + (((sqrt(72) - (sqrt(72) + sqrt(72) + -2*sqrt(72))) + sqrt(72) + sqrt(72))/sqrt(3))/(-2*sqrt(108)))**2.
-3*sqrt(2) + 19/2
Simplify (sqrt(95)/sqrt(45))**2 - (5 + sqrt(57)/sqrt(3)).
-sqrt(19) - 26/9
Simplify (sqrt(75)/sqrt(80) - sqrt(15))/sqrt(3).
-3*sqrt(5)/4
Simplify (3 + (sqrt(220)/sqrt(11) + sqrt(5) - (sqrt(40)/(sqrt(8) + sqrt(128) - sqrt(8)) + sqrt(5))))**2.
21*sqrt(5)/2 + 389/16
Simplify (-2*(sqrt(243) + (sqrt(243) - (0 + sqrt(243)))))**2.
972
Simplify (-5 + -3 + sqrt(17) + -3 + -2)**2.
-26*sqrt(17) + 186
Simplify (sqrt(33)*4)/sqrt(3) + (sqrt(22) + 5*sqrt(22))/sqrt(2).
10*sqrt(11)
Simplify (-4 + sqrt(15)/sqrt(5) - (-5 + sqrt(3) + -3)**2)*-3.
-51*sqrt(3) + 213
Simplify (sqrt(20)/(sqrt(24)/(sqrt(6)*-2)))**2.
20
Simplify 1*sqrt(1872)*-3.
-36*sqrt(13)
Simplify sqrt(4)/(sqrt(2) + sqrt(4)/(sqrt(98) + sqrt(2))).
8*sqrt(2)/9
Simplify (1*sqrt(864))/sqrt(2)*-3.
-36*sqrt(3)
Simplify (sqrt(88)/(-2*sqrt(2)))**2.
11
Simplify (-1*(sqrt(110)*1 + sqrt(110)) - sqrt(110))/(-2*sqrt(90) + sqrt(90)).
sqrt(11)
Simplify ((1*sqrt(294))/sqrt(2)*6)**2.
5292
Simplify ((sqrt(99) + 3*sqrt(99)*6 + sqrt(99) - sqrt(99) - sqrt(99)) + sqrt(99))/((sqrt(99) + sqrt(99)*3)/sqrt(11)).
19*sqrt(11)/4
Simplify (4*sqrt(495))/(-1*sqrt(5)*-2).
6*sqrt(11)
Simplify sqrt(468)*1 + 0.
6*sqrt(13)
Simplify (((sqrt(135) - sqrt(135)*2)/sqrt(5))/((sqrt(18)*-1)/sqrt(2)) + 0)**2.
3
Simplify (sqrt(1080) - (5*sqrt(1080) + sqrt(1080)) - sqrt(1080))/sqrt(6).
-36*sqrt(5)
Simplify (sqrt(1200) + (-1*sqrt(1200) - sqrt(1200)) + sqrt(1200) - sqrt(1200))**2.
1200
Simplify (-3*(sqrt(11) + 0))**2 + (3*(-2 + sqrt(11)))**2 + sqrt(11) + 5.
-35*sqrt(11) + 239
Simplify (sqrt(343) - (6*(sqrt(343) - (sqrt(343)*-2 + sqrt(343))) - sqrt(343)))**2.
34300
Simplify 5 + -2*sqrt(425)*-2.
5 + 20*sqrt(17)
Simplify (sqrt(34)/(sqrt(10)/sqrt(5)) - sqrt(17)) + sqrt(170)/(sqrt(10)*3) + sqrt(17).
4*sqrt(17)/3
Simplify ((-4*3*sqrt(171))/sqrt(9))**2.
2736
Simplify (sqrt(5200) - (1*sqrt(5200) + sqrt(5200) - sqrt(5200)))/sqrt(4)*1.
0
Simplify ((-2 + sqrt(432) + sqrt(432))*-3)**2.
-864*sqrt(3) + 15588
Simplify (sqrt(1872) + 1)**2*-5*1.
-9365 - 120*sqrt(13)
Simplify (((sqrt(2) - (1 + sqrt(2)))*6 - (0 + sqrt(2)*1)) + 5)**2.
2*sqrt(2) + 3
Simplify (sqrt(171)*-1)**2*5 + -3 + 5.
857
Simplify sqrt(14)/(-3*sqrt(63)) - (-6*sqrt(8) - sqrt(14)/(sqrt(14)/sqrt(2))).
116*sqrt(2)/9
Simplify (sqrt(85) + ((sqrt(85) - (sqrt(85) - (sqrt(85) + 1*sqrt(85)))) + sqrt(85))*-5 + sqrt(85))/(-6*-1*sqrt(5)).
-13*sqrt(17)/6
Simplify (4 + sqrt(245)*-1 + 1)**2.
-70*sqrt(5) + 270
Simplify (sqrt(112) - (-4 + sqrt(112)*2 + sqrt(112))) + sqrt(112).
-4*sqrt(7) + 4
Simplify -1*(sqrt(17) + (sqrt(17) - (sqrt(17) + (sqrt(153)*3)/sqrt(9)))**2).
-153 - sqrt(17)
Simplify -6*(sqrt(17) + sqrt(1377))*-2.
120*sqrt(17)
Simplify 2*sqrt(171)*1 + 4.
4 + 6*sqrt(19)
Simplify sqrt(612) + -4*3*sqrt(612).
-66*sqrt(17)
Simplify (2*sqrt(450))/sqrt(9).
10*sqrt(2)
Simplify (-5 + (4*sqrt(2448) - sqrt(2448)) + sqrt(2448) + sqrt(2448))**2.
-600*sqrt(17) + 61225
Simplify (sqrt(84)/sqrt(27))/(sqrt(40)/(sqrt(30)/sqrt(3))).
sqrt(7)/3
Simplify (sqrt(637)*-3)**2 + 3.
5736
Simplify 2 + 1*sqrt(176) + 5 + 5.
12 + 4*sqrt(11)
Simplify (sqrt(72) - 2*sqrt(72))/sqrt(4) + -2*sqrt(288).
-27*sqrt(2)
Simplify ((sqrt(300) - (-2 + sqrt(300) + sqrt(300)*2)) + (sqrt(300) + sqrt(300) + -1)*-1)**2.
-240*sqrt(3) + 4809
Simplify 1*-2*(sqrt(1584)*-3 + sqrt(1584)).
48*sqrt(11)
Simplify (-1 + sqrt(12)/((sqrt(6) - sqrt(6)*2*-3) + sqrt(6)))**2.
-sqrt(2)/4 + 33/32
Simplify (6*sqrt(34)/sqrt(2) - sqrt(34)/sqrt(8))**2 + (sqrt(17) + sqrt(170)/sqrt(90))*5.
20*sqrt(17)/3 + 2057/4
Simplify (sqrt(475) + (sqrt(475) + -4*(sqrt(475) + -1) - sqrt(475)))*-3.
-12 + 45*sqrt(19)
Simplify ((2 + 6*(-2 + sqrt(68)))*4)**2.
-3840*sqrt(17) + 40768
Simplify (sqrt(2057)*3)**2 - sqrt(1377)*-4.
36*sqrt(17) + 18513
Simplify -2 + (sqrt(4)/sqrt(2))**2 + 2 + 4.
6
Simplify (sqrt(2299) + -2 + sqrt(2299) - sqrt(2299))**2*6.
-264*sqrt(19) + 13818
Simplify -3 + sqrt(3888) + 1.
-2 + 36*sqrt(3)
Simplify (-1*sqrt(121)*2)/(sqrt(11) - 2*sqrt(539)).
2*sqrt(11)/13
Simplify (((-3*sqrt(504))/sqrt(9))/sqrt(8))**2.
63
Simplify (0 + sqrt(425) + 4)**2.
40*sqrt(17) + 441
Simplify (sqrt(567) - (sqrt(567) + (sqrt(567) - -4*sqrt(567)))**2) + 1.
-20411 + 9*sqrt(7)
Simplify (sqrt(132)*1)/sqrt(12) - (sqrt(88) - (sqrt(88) - (sqrt(88)*1 - sqrt(88))))/sqrt(8).
sqrt(11)
Simplify sqrt(252)/sqrt(4) + 2 + sqrt(847).
2 + 14*sqrt(7)
Simplify -1*(sqrt(5) - (sqrt(5) - ((-3*sqrt(15))/sqrt(3) + sqrt(5)))).
2*sqrt(5)
Simplify -3*(4*sqrt(95)/sqrt(5) - (sqrt(19) + -3*sqrt(38)/sqrt(2))).
-18*sqrt(19)
Simplify 6*(sqrt(2057) + 1*sqrt(2057)).
132*sqrt(17)
Simplify -4 + 4*(sqrt(38)/sqrt(2))**2*3.
224
Simplify (sqrt(19) + -1 + 4)**2 + sqrt(1900) + -2.
26 + 16*sqrt(19)
Simplify (-5 + sqrt(19) + 0 + (sqrt(133)*2)/sqrt(7) + sqrt(19))*3.
-15 + 12*sqrt(19)
Simplify (sqrt(1216) + -5 - sqrt(171)*-5)**2.
-230*sqrt(19) + 10076
Simplify (6*(sqrt(40) - -2*sqrt(40)))/(sqrt(24)/sqrt(3)*3).
6*sqrt(5)
Simplify sqrt(132)/(sqrt(12) - 3*sqrt(192)).
-sqrt(11)/11
Simplify (-5*(-1 + sqrt(19) + sqrt(19) + 1 + sqrt(19))*-5)**2.
106875
Simplify -2*(sqrt(51)/(1*sqrt(3)))**2.
-34
Simplify sqrt(78)/(sqrt(48)/sqrt(8)*-6).
-sqrt(13)/6
Simplify 2 + (3 + (sqrt(2) + sqrt(6)/sqrt(3))**2 + 1)*2.
26
Simplify (1 + sqrt(153) + 5 - sqrt(153)) + 3.
9
Simplify sqrt(51)/(sqrt(3)*-6) - (0 + (sqrt(17) + -5)**2).
-42 + 59*sqrt(17)/6
Simplify (-1*-2*sqrt(77))/(sqrt(176) + sqrt(176)*1 + sqrt(176)).
sqrt(7)/6
Simplify (4 + (6*(sqrt(19) + 1) - ((sqrt(19) - sqrt(57)/sqrt(3)) + 3)))**2*-2.
-1466 - 168*sqrt(19)
Simplify (-2 + sqrt(170)/((sqrt(70) - (sqrt(70) - -2*sqrt(70)) - sqrt(70))/sqrt(7)) + 4)**2.
-4*sqrt(17)/3 + 53/9
Simplify -5 + 4*(1 + sqrt(46 | {
"pile_set_name": "DM Mathematics"
} |
20)
Simplify o**(2/7)*o*o*o**(-4)/o assuming o is positive.
o**(-19/7)
Simplify ((u/u**(-3))/(u**(-5/2)*u))/(u**(6/11)*u*u/u**8) assuming u is positive.
u**(241/22)
Simplify ((z/(z/z**0))/z**2)**(-38) assuming z is positive.
z**76
Simplify (o*o**(3/13)/o)/o**(-1/8) assuming o is positive.
o**(37/104)
Simplify ((h/h**(-1/3))**38)**(-4/29) assuming h is positive.
h**(-608/87)
Simplify (p**(-1/9))**(-28) assuming p is positive.
p**(28/9)
Simplify m**6/((m/((m*m*m**11)/m))/m) assuming m is positive.
m**18
Simplify (o/(o/(((o*o**(-2/3))/o)/o*o)))**(-3)/(o**(3/5)*o*o**(-1/2)) assuming o is positive.
o**(9/10)
Simplify (p/p**(3/4)*p/(p**5*p))/(p*p**(-5/6)/p*p*p*p*p*p*p/(p**(3/8)*p*p)*p) assuming p is positive.
p**(-205/24)
Simplify o*o/(o/((o*o**(-12))/o))*o*o*o*o*o*o**(3/25)*o*o*o*o*o assuming o is positive.
o**(-22/25)
Simplify (n**(2/19)*n*n*n**(-8)/n)**(-7) assuming n is positive.
n**(917/19)
Simplify (m**(2/5)*m**(-5)*m)**(2/21) assuming m is positive.
m**(-12/35)
Simplify m**2/m**(1/3)*(m*m*m/(m*m/(m/(m**(-1/3)*m))*m)*m)/m**(2/15) assuming m is positive.
m**(43/15)
Simplify w*w*((w**25*w)/w)/w*w*w**(-11) assuming w is positive.
w**16
Simplify (t/(t*t**9/t))/((t*t/t**(-1/4))/t)*((t**(-2)/t*t)/t)**(2/11) assuming t is positive.
t**(-431/44)
Simplify (y**22/y)**12 assuming y is positive.
y**252
Simplify ((u**(-1))**23)**(-4/23) assuming u is positive.
u**4
Simplify r**(2/7)/r*r*(r/r**(-2/25))/r*r assuming r is positive.
r**(239/175)
Simplify (m**(-13))**(-27) assuming m is positive.
m**351
Simplify s**(-1/7)*s*s*(s*s**17)/s assuming s is positive.
s**(132/7)
Simplify d*d**(-40)*d*d**(-13) assuming d is positive.
d**(-51)
Simplify o**(-6)*o/(o**(3/2)/o) assuming o is positive.
o**(-11/2)
Simplify (v**(-1/18)/(v**4/v))**(-2/41) assuming v is positive.
v**(55/369)
Simplify (q**(-13)*q**(3/8))**(-34) assuming q is positive.
q**(1717/4)
Simplify i**12*i*i*(i/i**(-19))/i*i assuming i is positive.
i**34
Simplify ((k**(-1/4))**(1/4))**(-3/13) assuming k is positive.
k**(3/208)
Simplify (x**5/x**(-2))/(x/x**1)**(-36) assuming x is positive.
x**7
Simplify ((r/r**(-1/3))/r)/(r**(-2/5)/r) assuming r is positive.
r**(26/15)
Simplify (d**(-2))**(-16) assuming d is positive.
d**32
Simplify (w**(-1/9)*w*w*w*w*w/(w/w**(-5)))**(-1/42) assuming w is positive.
w**(5/189)
Simplify ((j**(-9)/j)/j*j)/(j*j**(-2/45)) assuming j is positive.
j**(-493/45)
Simplify (a*a*a**0*a*a**0)**(20/11) assuming a is positive.
a**(60/11)
Simplify ((z*z*z**(2/5)*z*z*z)/z**(-5))/(z/((z**(-2/7)*z)/z))**13 assuming z is positive.
z**(-221/35)
Simplify c**4*c*c*c**11 assuming c is positive.
c**17
Simplify (o*(o*(o**(-1/3)*o)/o*o*o*o)/o)/((o/(o*(o/o**9)/o*o))/o)*(o**(1/3)*o)**29 assuming o is positive.
o**(106/3)
Simplify (w**0/(w*w*w**(-1/8)*w))/(w*w*w**(-2/3)/w)**(-33) assuming w is positive.
w**(65/8)
Simplify ((w**(-3))**(11/4))**(-2/33) assuming w is positive.
sqrt(w)
Simplify (i**(-2/31)/(i*i/(i*i*(i/(i**(-2/19)/i)*i)/i*i*i*i)))**(-7/8) assuming i is positive.
i**(-20783/4712)
Simplify t**(-43)/t**(1/5) assuming t is positive.
t**(-216/5)
Simplify ((c**(-2/3))**49)**(2/3) assuming c is positive.
c**(-196/9)
Simplify (z**0)**(-5/4)/(z**(-6)/(z*z*z/(z/z**4)*z*z)) assuming z is positive.
z**14
Simplify q**(-7)*q**(-20/9) assuming q is positive.
q**(-83/9)
Simplify c**21/((c/((c/(c/(c**(-12)*c)))/c))/c) assuming c is positive.
c**9
Simplify (t*t**17)/t**(3/14) assuming t is positive.
t**(249/14)
Simplify ((q*q**(-2/5))/q)**(-49)*q*q*q**7*q/q**(2/25) assuming q is positive.
q**(738/25)
Simplify (r**(-1)*r)**2*(((r/r**(-2/3))/r*r)/r)/r**3 assuming r is positive.
r**(-7/3)
Simplify h/(h**8*h)*h/(h*h**42/h)*h assuming h is positive.
h**(-48)
Simplify (b*b/(b*b/b**(-1))*b*b*b)**45*b*b/(b*(b/(b*b*b**(1/2))*b)/b)*b**(-1) assuming b is positive.
b**(183/2)
Simplify ((d**(4/7)*d)/(d/(d**0*d*d)))/(d**(2/11)*d**(-5)) assuming d is positive.
d**(569/77)
Simplify ((n*n*n**(-3))/n)/n*(n*(n/(n/n**(-2/11)))/n)/n*(n*n*n*n**(-3/8))/(n*(n/n**1)/n) assuming n is positive.
n**(-137/88)
Simplify (m/(m/(m*m**(-2/13))))/(m**(-3/13)/m) assuming m is positive.
m**(27/13)
Simplify ((o**0)**(5/2))**(-32) assuming o is positive.
1
Simplify (f*f/(f*(f*f**(-5))/f)*f**(-1/3))/((f/(f/(f*(f*f*f**(-3))/f)))/(f/f**(2/3))) assuming f is positive.
f**7
Simplify h**(1/8)/h**(2/37) assuming h is positive.
h**(21/296)
Simplify ((t**(-2)/t)/(t/t**(-1/17)*t*t))/(t**10/((t/(t/(t*t/(t/(t**(-2/25)*t)))))/t)) assuming t is positive.
t**(-6434/425)
Simplify ((o*(o*o**(4/7))/o*o)/(o/((o*(((o*o**(-2))/o)/o)/o*o)/o*o*o)))/(o**(-2)/o**(1/4)) assuming o is positive.
o**(79/28)
Simplify (m**(-5)/m)/m**(-2/15)*(m**(-1/3))**(-50/3) assuming m is positive.
m**(-14/45)
Simplify p**(1/30)/(p*p**(-40)) assuming p is positive.
p**(1171/30)
Simplify ((f/(f**(-1/4)/f))/f*f**3)**(2/65) assuming f is positive.
f**(17/130)
Simplify (x**(-4/7)/x**(2/7))/(x**(-1/4)/x*x)**(-29) assuming x is positive.
x**(-227/28)
Simplify h**(-1/14)*h/(h/(h**25/h)) assuming h is positive.
h**(335/14)
Simplify (((c/c**(-3)*c)/c)/(c**14*c))**(2/11) assuming c is positive.
c**(-2)
Simplify (b**(-3/7)/(b*b**3))/(b**(-1)/b*b**(-2)/b) assuming b is positive.
b**(4/7)
Simplify (x**(-10/3)*x)/(x**(-28)*x) assuming x is positive.
x**(74/3)
Simplify (p**(-1)*p*p/p**(-2/17)*p)/(p**0/p**(1/7)) assuming p is positive.
p**(269/119)
Simplify ((w*w/(w*w**(-1/20)))/w)**(-8/3) assuming w is positive.
w**(-2/15)
Simplify w**3/w*w*(w/(w**(1/10)*w))/w assuming w is positive.
w**(19/10)
Simplify (a**(1/4)/a)/(a**(-3)/a) assuming a is positive.
a**(13/4)
Simplify ((s**(4/3)*s)/(s*s/(s*s*s**(-1/5))*s))**(-40) assuming s is positive.
s**(-136/3)
Simplify (t**(-7)*t/(t/(t/(t/(t/t**(3/7))))))**(-2/17) assuming t is positive.
t**(90/119)
Simplify (k**3)**(-19/5) assuming k is positive.
k**(-57/5)
Simplify (c**(-2/65)/c)/c*c**(-2/35) assuming c is positive.
c**(-190/91)
Simplify ((v*v/((v**(3/2)/v*v)/v)*v*v)/v)**21 assuming v is positive.
v**(105/2)
Simplify ((r*r**(-1)/r)/r*r/((((r*r**6)/r)/r)/r))/(r**4*r*r**(-4)) assuming r is positive.
r**(-6)
Simplify (w*(w**(-5)*w)/w*w**(-1/14))/(w**(-3/7)/w*w**(2/5)) assuming w is positive.
w**(-213/70)
Simplify (((q*q/q**6)/q)/q**(-1/5))**(-12) assuming q is positive.
q**(288/5)
Simplify (s*s**(5/4)/s)/s**(-10/7) assuming s is positive.
s**(75/28)
Simplify ((x**1)**(2/3))**(-35) assuming x is positive.
x**(-70/3)
Simplify ((h**1)**25)**(9/2) assuming h is positive.
h**(225/2)
Simplify l*l**(2/33)/l*l**(-8)*l/(l/(l*l*l*((l**(-1)*l)/l)/l))*l**1 assuming l is positive.
l**(-196/33)
Simplify ((l**15*l)/(l**(-2/17)*l))**(-7) assuming l is positive.
l**(-1799/17)
Simplify (v*v/(((v/(v/v**(-2/7)))/v)/v))**25 assuming v is positive.
v**(750/7)
Simplify ((q/(q**(-3/2)*q))/q**(2/5))**(4/9) assuming q is positive.
q**(22/45)
Simplify (k/((k/(k*k*k*k**(2/5)))/k))**(2/75) assuming k is positive.
k**(44/375)
Simplify (s*s**2/s)/s**(-3)*((s*s**(-1/3))/s)**(-27) assuming s is positive.
s**14
Simplify ((g**(-4/7)*g)**(15/8))**42 assuming g is positive.
g**(135/4)
Simplify (y**(-6)*y/(y/((y*y**10*y)/y)))/((y**(-8)*y)/(y*(y**2*y)/y*y)) assuming y is positive.
y**16
Simplify m**(5/4)/m**(-2/19) assuming m is positive.
m**(103/76)
Simplify p/p**(-26)*p**(-2/21) assuming p is positive.
p**(565/21)
Simplify (j**(-1))**(-34)*(j**6*j)/(j/(j**(-7)/j)) assuming j is positive.
j**32
Simplify (i/(i**(-14)/i*i))/i*i**(-28) assuming i is positive.
i**(-14)
Simplify (v/v**(-1))**(-45)*v**2/v**(2/3) assuming v is positive.
v**(-266/3)
Simplify (z/z**(1/21)*z*z**(-2)*z)**(-26) assuming z is positive.
z**(-520/21)
Simplify (x*x*x/(x**(-3)*x)*x**(1/3))/(x**(-1/2)*x**(-1/4)) assuming x is positive.
x**(73/12)
Simplify (t**(2/19)/(t**(-4)/t))/(t**(-4/7)*t**(-4)) assuming t is positive.
t**(1287/133)
Simplify (x/((x*x**0/x)/x)*x/(((x**(4/7)*x)/x)/x))/(x**5/(x*x**(-1/6)*x)) assuming x is positive.
x**(11/42)
Simplify ((m/m**(3/5))/m**(-4))/(m**(-1)*m)**50 assuming m is positive.
m**(22/5)
Simplify (n**(-2)*n**(-2))/(n*n*n**0)**(-5/3) assuming n is positive.
n**(-2/3)
Simplify (n**(1/3)*n)**0/(n**(2/9)/(n*(n*n/(n/n**(-3)*n)*n*n)/n)) assuming n is positive.
n**(-11/9)
Simplify (((p**1*p*p)/p)/p)**(-2/5)/(p**(3/2)*p/(p*p/(p/((p/p**(-5))/p)))*p) assuming p is positive.
p**(21/10)
Simplify (l/l**0)/(l | {
"pile_set_name": "DM Mathematics"
} |
-2767/151 or -19?
-19
Which is smaller: -29891 or -29889?
-29891
Is -477236 less than or equal to 2?
True
Are 1/71594 and 25 equal?
False
Are 12/454855 and 1 non-equal?
True
Which is greater: -33 or 6.87?
6.87
Is 105152 smaller than 105157?
True
Do 235 and 2054 have the same value?
False
Is -64 less than 0.03698?
True
Which is greater: -2572/165 or -15?
-15
Do 0.3 and 25023 have the same value?
False
Is 21.5 bigger than 1.54?
True
Which is bigger: 603 or 643?
643
Which is smaller: 44430 or 44432?
44430
Does -2 = -37216?
False
Is -1235.53 bigger than -0.3?
False
Which is smaller: 15.4 or -462/5?
-462/5
Which is smaller: -422237 or -422240?
-422240
Which is bigger: 27/14 or 804?
804
Is 152943 greater than 152943?
False
Is 2/5 at most 2990968?
True
Which is bigger: 0 or -0.596?
0
Which is bigger: 1 or 0.087214?
1
Is -2/145605 greater than or equal to 1?
False
Which is smaller: -375 or 45?
-375
Which is smaller: -21656 or -21655?
-21656
Is 208/155 at least 2?
False
Which is bigger: -4108/105 or -40?
-4108/105
Which is smaller: -24307 or -24211?
-24307
Which is greater: 4/34553 or 0?
4/34553
Which is greater: 244388/5 or 48879?
48879
Is 0.08 less than or equal to 3094/33?
True
Is 46853 equal to 46856?
False
Is -10443 at most 2?
True
Is -42109 less than or equal to -42064?
True
Is -9/16 greater than 2.394?
False
Do -8610/173 and -49 have the same value?
False
Which is smaller: -11333 or -11423?
-11423
Is -18 at least -330?
True
Are 12447 and 12449 non-equal?
True
Which is greater: 0 or 1/9287?
1/9287
Are 587658 and 2 equal?
False
Which is smaller: -4223686 or -4223685?
-4223686
Is 990.65 less than -3?
False
Is -18820 greater than -18801?
False
Is -389 at most as big as -496?
False
Do -2092 and -2069 have the same value?
False
Is -487913 smaller than -487914?
False
Which is smaller: -240811 or -240808?
-240811
Is -35810/13 smaller than -2755?
False
Which is greater: 0 or -4/249635?
0
Which is smaller: -286 or 1.8?
-286
Which is smaller: 1/7231995 or -1?
-1
Is -187809 equal to -1126853/6?
False
Which is greater: -468 or -1/265?
-1/265
Is 85/48934 at most as big as -1?
False
Which is greater: 1350688 or 1350689?
1350689
Is 84237 greater than 84237?
False
Which is greater: -166 or -13098/79?
-13098/79
Which is greater: 1125688 or 1125687?
1125688
Which is bigger: 1 or 2/28989?
1
Are -216426/17 and -12730 non-equal?
True
Are 5215 and 5227 unequal?
True
Which is greater: -2 or -1227/895?
-1227/895
Which is greater: 167329 or 167333?
167333
Are -3294 and -1/3 nonequal?
True
Do -164 and 16/49 have the same value?
False
Does 18244 = 18234?
False
Which is smaller: -1 or 33/65107?
-1
Are 48964 and 48973 non-equal?
True
Are -8/22643 and 1 non-equal?
True
Which is greater: 969 or 60?
969
Which is smaller: 969030 or 969028?
969028
Does 9 = -7.3?
False
Which is smaller: 40414 or 40411?
40411
Is 24697 >= 24699?
False
Which is greater: -4768 or -4785?
-4768
Is 449740 greater than or equal to 0.2?
True
Which is smaller: 0 or 305740?
0
Is 228 != -279?
True
Is 19913 at least as big as 19913?
True
Is 27/5 at least as big as 0.023?
True
Which is smaller: 496 or 2464?
496
Which is bigger: 12/73127 or 0?
12/73127
Are 1604 and -2766 equal?
False
Is -8817 equal to -8949?
False
Is -12015/152 less than or equal to -79?
True
Is 3/907588 < -1/2?
False
Is -7029 > -81?
False
Is -72494/195 bigger than -372?
True
Which is greater: 151104 or 151102?
151104
Which is greater: -84648 or -84649?
-84648
Are -69692 and -69693 equal?
False
Is -140 at least as big as -402?
True
Which is smaller: -15965 or -15906?
-15965
Are -1 and -9/18391 unequal?
True
Is 86636 equal to 86632?
False
Which is smaller: 2 or 279/170?
279/170
Is -40059 at least as big as -40064?
True
Are -12940 and -12815 equal?
False
Which is bigger: 2619/11 or 238?
2619/11
Which is smaller: 245028 or 245025?
245025
Which is greater: -3 or -622/333?
-622/333
Which is smaller: 3/4 or 4535?
3/4
Are 1 and -2/2304383 unequal?
True
Is -8713 < -0.4?
True
Which is bigger: -1918708 or -1918706?
-1918706
Is 1020/13 > 77?
True
Which is greater: 141438 or 141427?
141438
Does 28351 = 28346?
False
Which is smaller: -1 or -4/21229?
-1
Which is bigger: -8902 or -8904?
-8902
Which is smaller: -1 or 5745?
-1
Is -29349 smaller than -29345?
True
Is -4513/17 less than -266?
False
Which is bigger: -7539160/3 or -2513054?
-7539160/3
Which is greater: 1164 or 656/5?
1164
Is 299 greater than or equal to 386?
False
Are 0 and -110/34047 nonequal?
True
Is -133516 less than -133517?
False
Which is smaller: -890/773 or -1?
-890/773
Which is greater: -3668 or -3677?
-3668
Which is smaller: -11065 or -1?
-11065
Is -1429/61 equal to -23?
False
Are -0.9143 and 2/85 equal?
False
Is 842 > -2691?
True
Is -0.7 at least -213056?
True
Is -34/98759 at least as big as 0?
False
Which is bigger: -328/343 or -1?
-328/343
Which is greater: 0.1 or 105542?
105542
Which is smaller: 5035 or 5029?
5029
Is -23102 less than -23097?
True
Which is smaller: -1 or -98/1129?
-1
Which is greater: 1942 or 1891?
1942
Is 0 greater than 24/77?
False
Which is smaller: 21782 or 21697?
21697
Are -40416 and -40391 nonequal?
True
Which is smaller: -15 or 11596?
-15
Which is smaller: 0 or 158/2527?
0
Is -12448 > -12452?
True
Which is greater: -5253 or -798?
-798
Which is greater: -66533 or -66532?
-66532
Is -998226 >= -998227?
True
Is 36.685 greater than or equal to 3?
True
Are -9149 and -9108 unequal?
True
Is 17467 >= 17469?
False
Which is smaller: 2/190117 or -1?
-1
Is 19103 equal to 19103?
True
Are -65851 and -65859 nonequal?
True
Is 101709 less than 101707?
False
Is -7345 greater than -7343?
False
Are -252279/37 and -6819 unequal?
True
Do -1/27248 and -1 have different values?
True
Is 15 < 240/11?
True
Is -1 > -2/104567?
False
Which is smaller: -1832 or -2/61?
-1832
Which is bigger: -1 or -3/2347427?
-3/2347427
Are 4668909 and 4668908 non-equal?
True
Which is greater: 2738 or -698?
2738
Which is smaller: -97231 or -0.1?
-97231
Which is bigger: 14098 or 14091?
14098
Are 18543 and 4 unequal?
True
Are -170692 and -170693 unequal?
True
Is -8100 > -8109?
True
Are -26140 and -26139 unequal?
True
Which is smaller: 30010 or -0.06?
-0.06
Which is smaller: 7962 or 363?
363
Which is smaller: 348 or 35736/103?
35736/103
Are 516255/7 and 73752 equal?
False
Which is greater: 14149 or -32?
14149
Which is greater: -0.0434 or -3/563?
-3/563
Is -1802 bigger than -0.037?
False
Which is greater: 0.3339 or 16?
16
Are 0 and 404/967 unequal?
True
Which is bigger: 2/5 or 3625/8?
3625/8
Which is smaller: 99/26 or 44/17?
44/17
Which is greater: 64 or -2762.2?
64
Which is bigger: -69446/27 or -2571?
-2571
Which is smaller: 0 or 2/578405?
0
Is -3/8 less than 2745?
True
Are -11423 and -11401 unequal?
True
Which is smaller: 0 or 560336?
0
Is 1 at least -6/81215?
True
Which is bigger: -194 or -35?
-35
Is 8469 smaller than 21?
False
Which is smaller: 1 or -1/84382?
-1/84382
Is -38709 at most as big as -38710?
False
Which is bigger: 970770 or 970771?
970771
Are -1 and -3/11887790 equal?
False
Is -180698 greater than -180698?
False
Which is greater: 0 or 313/219?
313/219
Is -105 less than or equal to -17350/167?
True
Does -2 = 131508?
False
Which is smaller: -0.31 or -0.05733?
-0.31
Do -31653 and -221565/7 have the same value?
False
Is 1118 at most 1766?
True
Is 6561/7 greater than 936?
True
Which is bigger: 25734 or 25732?
25734
Is -106683 less than -106684?
False
Which is smaller: -45180 or -45187?
-45187
Which is smaller: -7.61 or 5?
-7.61
Which is bigger: 0.865 or 0.04?
0.865
Which is greater: 7508/65 or 117?
117
Are -3046621 and -3046623 nonequal?
True
Which is bigger: 0.04973 or -1/12?
0.04973
Is 1/16 greater than or equal to 0.298?
False
Is 104193/5 >= 20839?
False
Which is smaller: 7579 or 7572?
7572
Is -89 <= -2545/29?
True
Which is greater: -31.5 or -70/13?
-70/13
Is 3/1040824 smaller than -1?
False
Which is smaller: 191 or -73?
-73
Which is smaller: -148256 or -148261?
-148261
Is 10/156151 at most -1?
False
Which is smaller: -1 or -2/258083?
-1
Does -122469 = -122473?
False
Is -221 > 1263?
False
Which is bigger: -195 or -646?
-195
Which is greater: 2/6111 or 353?
353
Which is smaller: 0.1 or 331848?
0.1
Is -3238/7 at least as big as -2?
False
Is -558289 at least -2791442/5?
False
Which is smaller: 1486 or | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {f: 2, k: 2, u: 5}. Give prob of picking 2 k and 1 f.
1/42
What is prob of picking 1 w, 1 y, and 1 q when three letters picked without replacement from dqwzzyy?
2/35
Two letters picked without replacement from ccccc. Give prob of picking 2 c.
1
Four letters picked without replacement from {w: 1, m: 5, v: 1, p: 2, o: 1, r: 6}. What is prob of picking 1 p, 1 r, 1 w, and 1 o?
3/455
Calculate prob of picking 2 h when two letters picked without replacement from {n: 7, h: 12}.
22/57
Calculate prob of picking 4 o when four letters picked without replacement from {o: 9, y: 2, f: 6}.
9/170
Four letters picked without replacement from {o: 2, a: 4, u: 1, k: 1}. What is prob of picking 2 o, 1 k, and 1 u?
1/70
What is prob of picking 2 y when two letters picked without replacement from {y: 2, c: 2}?
1/6
What is prob of picking 2 l and 2 p when four letters picked without replacement from {l: 11, p: 2}?
1/13
Calculate prob of picking 2 z and 2 j when four letters picked without replacement from jzjzzzjzjjjj.
14/33
Four letters picked without replacement from {u: 1, f: 3, c: 2, z: 1, k: 6}. Give prob of picking 1 c and 3 k.
8/143
Calculate prob of picking 2 e when two letters picked without replacement from zezzee.
1/5
What is prob of picking 2 p and 1 c when three letters picked without replacement from {c: 6, p: 2}?
3/28
What is prob of picking 1 u and 1 q when two letters picked without replacement from {a: 10, q: 4, u: 2}?
1/15
Four letters picked without replacement from {p: 2, z: 2, g: 2}. What is prob of picking 2 g and 2 z?
1/15
Calculate prob of picking 1 r, 1 q, and 1 d when three letters picked without replacement from qsqrxdm.
2/35
Calculate prob of picking 1 w and 2 b when three letters picked without replacement from zzwdzdbdwzbdbzwdxdd.
3/323
What is prob of picking 1 y and 2 n when three letters picked without replacement from nynyynnnnny?
28/55
Three letters picked without replacement from kikk. What is prob of picking 2 k and 1 i?
3/4
Three letters picked without replacement from hhhhhfhfhhh. Give prob of picking 2 f and 1 h.
3/55
Four letters picked without replacement from {f: 1, n: 1, t: 1, r: 3, k: 1}. What is prob of picking 1 k, 1 t, and 2 r?
3/35
Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {t: 2, r: 2, o: 2, m: 4, d: 2}.
1/110
What is prob of picking 2 p when two letters picked without replacement from {d: 2, l: 3, p: 10}?
3/7
Two letters picked without replacement from {p: 1, a: 1, b: 1, q: 1, m: 1, t: 2}. Give prob of picking 1 q and 1 m.
1/21
Three letters picked without replacement from {h: 3, w: 2}. What is prob of picking 3 h?
1/10
Calculate prob of picking 3 d when three letters picked without replacement from daddddddaddd.
6/11
Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {y: 3, p: 8}.
14/55
Two letters picked without replacement from hlgghdggllh. Give prob of picking 1 l and 1 g.
12/55
What is prob of picking 1 o, 1 p, 1 k, and 1 x when four letters picked without replacement from {p: 1, k: 3, e: 2, o: 6, x: 1}?
18/715
Three letters picked without replacement from {i: 2, c: 5}. Give prob of picking 1 c and 2 i.
1/7
Four letters picked without replacement from lbyllylblllylllllb. Give prob of picking 1 y and 3 b.
1/1020
Calculate prob of picking 3 l when three letters picked without replacement from {a: 8, l: 3}.
1/165
What is prob of picking 1 j and 1 d when two letters picked without replacement from ddgdpjjgdpdggjj?
4/21
Three letters picked without replacement from {d: 6, q: 7}. What is prob of picking 1 q and 2 d?
105/286
Calculate prob of picking 1 k and 3 t when four letters picked without replacement from {g: 2, z: 1, w: 1, k: 2, t: 6}.
8/99
Calculate prob of picking 4 c when four letters picked without replacement from {c: 4, g: 7}.
1/330
Three letters picked without replacement from {k: 3, l: 4}. Give prob of picking 2 k and 1 l.
12/35
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {w: 1, y: 2}.
2/3
Two letters picked without replacement from bbbe. Give prob of picking 2 b.
1/2
Three letters picked without replacement from {p: 1, t: 4, a: 2, o: 10}. Give prob of picking 1 a and 2 o.
9/68
What is prob of picking 2 l when two letters picked without replacement from ddjdlldjdldjjddlj?
3/68
Calculate prob of picking 2 y, 1 l, and 1 p when four letters picked without replacement from {p: 3, y: 13, l: 3}.
117/646
What is prob of picking 2 z when two letters picked without replacement from sllzzzqzx?
1/6
Two letters picked without replacement from {w: 1, l: 5, k: 1, x: 3, o: 2}. What is prob of picking 1 k and 1 o?
1/33
Two letters picked without replacement from {k: 9, u: 8, w: 2}. Give prob of picking 1 u and 1 k.
8/19
Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {y: 1, d: 2, m: 5, u: 1, r: 1}.
2/45
Calculate prob of picking 1 u and 1 j when two letters picked without replacement from sssuj.
1/10
Two letters picked without replacement from mhrmrhrrhmmhhhmh. What is prob of picking 1 m and 1 r?
1/6
Four letters picked without replacement from pppppeppppeeeeppepp. What is prob of picking 3 e and 1 p?
65/969
Calculate prob of picking 2 h and 1 z when three letters picked without replacement from lhzhfzzz.
1/14
Two letters picked without replacement from {k: 3, w: 2, g: 5}. What is prob of picking 1 k and 1 g?
1/3
Three letters picked without replacement from {y: 1, q: 3, i: 1, x: 2, p: 5}. What is prob of picking 2 x and 1 p?
1/44
Four letters picked without replacement from rgggrukllgkklrlkv. Give prob of picking 3 r and 1 k.
1/595
What is prob of picking 1 h and 2 f when three letters picked without replacement from fahaftthf?
1/14
Three letters picked without replacement from dununxsxdndssx. What is prob of picking 1 n, 1 d, and 1 u?
9/182
Four letters picked without replacement from {w: 10, b: 3, r: 2}. What is prob of picking 4 w?
2/13
Four letters picked without replacement from uxuxpxxsxxpxxpxs. What is prob of picking 2 p and 2 x?
27/455
What is prob of picking 1 s, 1 q, and 1 d when three letters picked without replacement from vqmsd?
1/10
Four letters picked without replacement from jajaeajaaeaj. What is prob of picking 1 a, 2 e, and 1 j?
8/165
Three letters picked without replacement from nnnnhhhn. Give prob of picking 1 n and 2 h.
15/56
Three letters picked without replacement from yuyyyuqqyyauuyii. What is prob of picking 1 y, 1 u, and 1 a?
1/20
What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 3, c: 5, h: 2}?
1/3
Calculate prob of picking 1 h and 2 r when three letters picked without replacement from hrrhrrrqrhhrhrhqr.
27/85
Two letters picked without replacement from {h: 2, w: 1, f: 1, m: 2, x: 1, g: 1}. Give prob of picking 1 h and 1 f.
1/14
What is prob of picking 1 r and 1 v when two letters picked without replacement from vzenr?
1/10
What is prob of picking 1 w, 1 d, and 1 e when three letters picked without replacement from dwwxewxddx?
3/40
Three letters picked without replacement from uaddddauauddaua. Give prob of picking 3 a.
2/91
What is prob of picking 1 m and 1 u when two letters picked without replacement from {d: 2, u: 2, t: 2, r: 2, m: 4}?
4/33
What is prob of picking 2 m and 2 f when four letters picked without replacement from mfiddifmmifmmmf?
6/91
Calculate prob of picking 2 t and 1 h when three letters picked without replacement from {w: 3, v: 2, h: 4, t: 1, f: 2}.
0
Four letters picked without replacement from {a: 6, z: 13}. Give prob of picking 4 z.
715/3876
What is prob of picking 2 q, 1 d, and 1 t when four letters picked without replacement from {d: 2, q: 2, c: 1, h: 1, k: 2, t: 1}?
1/63
Two letters picked without replacement from {i: 1, m: 2, r: 2, k: 1, l: 1}. Give prob of picking 1 r and 1 i.
2/21
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzezzzzzzzzzz.
8/9
What is prob of picking 1 t and 1 c when two letters picked without replacement from {e: 7, c: 2, t: 6}?
4/35
What is prob of picking 4 c when four letters picked without replacement from ccccczzccc?
1/3
Two letters picked without replacement from drudiff | {
"pile_set_name": "DM Mathematics"
} |
g(p) be the first derivative of 1/4*p**4 + 0*p - 14 - 11/5*p**5 + 0*p**2 + 43/3*p**3. Find the third derivative of g(r) wrt r.
-264*r + 6
What is the third derivative of 4*p**2 - 25*p**2 + 9*p**2 + 12 - 3*p**4 - 38*p**3 + 17*p**2 wrt p?
-72*p - 228
Let t(u) be the second derivative of 4/3*u**4 - 8/15*u**6 + 0*u**5 + 0 + 0*u**3 - 20*u + 0*u**2. What is the third derivative of t(z) wrt z?
-384*z
Let c(a) = a**3 + 17*a**2 + 5*a - 10. Let x be c(14). Find the third derivative of -15*g**2 + 6136 + 51*g**4 - x wrt g.
1224*g
What is the derivative of 13 - 258 - 7*u**3 + 5*u - 10*u**3 - 2*u**3 wrt u?
-57*u**2 + 5
Let z(n) be the first derivative of 10*n**2 + 15*n**2 - 9*n**2 + 7*n - 33*n - 27. What is the first derivative of z(g) wrt g?
32
Let k(a) = -8*a**3 - 4*a**2 - a + 4. Let y(f) = 14*f**3 + 9*f**2 + 2*f - 7. Let z(q) = 11*k(q) + 6*y(q). What is the second derivative of z(g) wrt g?
-24*g + 20
Suppose 3*j - 2*d + 35 = 2*d, -4*d = -4*j - 40. Let t = j + 12. Find the third derivative of -3*r**2 - 6*r**6 + t*r**6 + r**6 wrt r.
240*r**3
Let y(d) = -4*d - 2. Let c be y(-2). Suppose -2*q = q - 15. Find the third derivative of -7*l**3 - q*l**5 - c*l**2 + 7*l**3 wrt l.
-300*l**2
Suppose -4*l - 8 = -u - 0*u, -l - 17 = -4*u. Suppose -j + 35 = u*j. What is the second derivative of -114*c**3 - j*c**4 - c + 114*c**3 wrt c?
-84*c**2
Let l = 50 - 44. Find the second derivative of -4*r**4 + 16*r - l*r + r**4 wrt r.
-36*r**2
Let q(j) be the third derivative of j**6/120 - 11*j**5/6 + j**4/8 + 24*j**3 - 113*j**2. What is the second derivative of q(m) wrt m?
6*m - 220
Let f(a) be the first derivative of -279*a**2/2 + 374*a + 411. Differentiate f(x) wrt x.
-279
What is the first derivative of -446 + 161*c**4 - 1297 + 1089 wrt c?
644*c**3
Let l = -7 - -8. Let c(v) = -4*v**3 + 2 + 3*v**2 - 4 - v**2. Let y(p) = p**2. Let m(d) = l*c(d) - 2*y(d). Find the first derivative of m(s) wrt s.
-12*s**2
Find the first derivative of z**4 + 2617 - 44*z**3 + 5*z**3 - 2859 wrt z.
4*z**3 - 117*z**2
Find the second derivative of m**4 - 3*m**3 + 0*m**4 - 6*m**4 - 3 - 6*m + 21*m**4 wrt m.
192*m**2 - 18*m
Let q(k) = -20*k**2 + 95*k. Let c(m) = m**2 + m. Let o(p) = -10*c(p) - q(p). Find the second derivative of o(b) wrt b.
20
Let o(g) = g**2 + 9*g + 22. Let n be o(-6). Let q = 2 - -1. Find the third derivative of -z**2 - 9*z**6 + q*z**5 - 3*z**5 - n*z**2 wrt z.
-1080*z**3
Suppose 4*h + 4*y = 4, 4*h + 2*y = -0*y + 6. What is the first derivative of -h*d**2 - 10 + 6*d**2 + 6*d**2 wrt d?
20*d
Suppose -4*s - 62 = -2*s. Let m = -29 - s. What is the third derivative of -4*w**2 - 3*w**m - 23*w**5 + 20*w**5 wrt w?
-180*w**2
Let i(g) be the second derivative of 0*g**4 - 2*g + 13/20*g**5 + 0*g**2 - 1/3*g**3 + 0. What is the second derivative of i(r) wrt r?
78*r
Let d(p) be the third derivative of -299*p**7/210 - p**4/6 - p**3/2 - 201*p**2. Find the second derivative of d(a) wrt a.
-3588*a**2
Let d(q) = -2*q**2 + 2*q + 1. Let z(a) = -252*a**2 + 4*a - 211. Let r(k) = 2*d(k) - z(k). Differentiate r(i) with respect to i.
496*i
Find the third derivative of -2*r**6 - 40*r**5 - 208*r**5 - 7180*r**3 + 7180*r**3 + 462*r**2 wrt r.
-240*r**3 - 14880*r**2
Suppose 10*k = 6*k + 16. What is the third derivative of 2*l**4 - 3*l**k - 9*l**4 + 9*l**2 + 0*l**4 wrt l?
-240*l
Let m be ((-6)/4)/((-18)/48). Suppose -2 = -m*r + 6. Find the first derivative of 3*s**3 - 6*s**3 + r - 4*s**3 + 0 wrt s.
-21*s**2
Find the first derivative of 6*g**4 + 0 - 81*g**4 - 56 + 20*g + 0 - 17*g wrt g.
-300*g**3 + 3
Suppose 0 = -67*w + 70*w - 5427. What is the first derivative of 1800 - w - 6*g**2 - 4*g**2 wrt g?
-20*g
Let p be ((-27)/(-12))/(0 + 2/8). What is the first derivative of 6 + 24*d - 43 - p*d wrt d?
15
Let c(v) be the third derivative of 113*v**6/120 - v**5/60 - 3*v**2 + 8. What is the third derivative of c(l) wrt l?
678
Let c(u) be the second derivative of -23*u**6/3 + u**3/3 - 361*u**2/2 - 406*u. Find the first derivative of c(x) wrt x.
-920*x**3 + 2
Suppose -3*b = -3*t - 24, 2*t + b + b = 0. Let c be 6/7*(-14)/t. What is the second derivative of -5*x**c + 0*x**3 + 4*x**3 + 4*x wrt x?
-6*x
Let n(t) be the third derivative of 13*t**7/210 + t**6/120 + t**5/30 - 23*t**3/3 - 151*t**2. Find the third derivative of n(y) wrt y.
312*y + 6
Let f(t) = 4*t. Let n(w) = 88*w**2 + 20*w + 18. Let x(a) = 10*f(a) - 2*n(a). What is the first derivative of x(r) wrt r?
-352*r
Let r be (39/4)/(3/(-12)). Let o be r/(-15) - 3/5. Find the third derivative of -3*a**3 - 5*a**3 + 3*a**3 + 5*a**o wrt a.
-30
Let u(r) = r**2 + 5*r + 5. Let c be u(-6). What is the first derivative of y + y + c + 6*y**3 - 2*y wrt y?
18*y**2
Let u be 15/10 - (-2)/4. Suppose -5*r + a = -17, 8 = -2*a - u*a. What is the first derivative of n**r - 1 - 1 + 0 + 2*n**3 wrt n?
9*n**2
Suppose 6 + 2 = 2*o. Find the third derivative of 0*v**6 + 4*v**2 - v**6 + o*v**2 wrt v.
-120*v**3
Differentiate -82 - 30*z**4 - 30*z**4 + 85*z**4 + 24 - 61*z**4 wrt z.
-144*z**3
Let a = 4 - 0. What is the third derivative of 14*l**2 - l**2 - a*l**4 - 6*l**2 - l**2 wrt l?
-96*l
What is the second derivative of -12 + 380*b + 12 + 4*b**2 + 3*b**2 - 5*b**2 - 45*b**4 wrt b?
-540*b**2 + 4
Suppose -13 = x - 15. Differentiate 5*l**2 - 12 - 13*l**x - 6*l + 6*l with respect to l.
-16*l
Let c be 20/6*18/4. Suppose -3*t + 3*s = 0, -2*s = 3*t - 0*t - c. What is the third derivative of t*x**2 + 17 + 3*x**6 - 17 - 4*x**2 wrt x?
360*x**3
Let z = 33 + -26. What is the third derivative of z*u**3 - 11*u**3 - 4*u**3 + 2*u**2 wrt u?
-48
Find the first derivative of 102 - 359*l**4 - 51 - 135 wrt l.
-1436*l**3
Let d be (-44)/(-11)*((-3)/(-4))/1. What is the second derivative of 2633*a - 3*a**3 - 2670*a + 5*a**d wrt a?
12*a
Let c(b) be the second derivative of 365*b**4/12 + 53*b**3 + 3*b - 28. Find the second derivative of c(a) wrt a.
730
Let i(y) = -5*y**4 - 7*y**3 - 25*y**2 + 5. Let j = -158 - -157. Let m(c) = -c**3 + 1. Let x(h) = j*i(h) + 5*m(h). What is the third derivative of x(f) wrt f?
120*f + 12
Suppose 2*m - m = -2*m. Let n(z) be the third derivative of 0 - 1/6*z**3 - 2/15*z**5 + m*z + 0*z**4 - 8*z**2. Find the first derivative of n(d) wrt d.
-16*d
What is the second derivative of -123 + 56*l**2 - 111 - 276*l + 234 wrt l?
112
Let r(m) be the first derivative of -4*m**5/5 - 14*m**3/3 - 5*m**2/2 + 5*m + 166. What is the second derivative of r(x) wrt x?
-48*x**2 - 28
Let j(x) = -x. Let h be j(-4). Suppose 0 - h = -2*a. What is the second derivative of 3*z**5 + a*z - 7*z + 6*z wrt z?
60*z**3
Suppose -x + 28 = 4*r, -r = 3*r - 4*x - 28. What is the second derivative of 19*n**2 - r*n**2 - 6*n - n**2 wrt n?
22
Find the second derivative of -2*c + 3 + 0*c + c - c - 79*c**2 - 5*c wrt c.
-158
Let a(w) = 4 + 0*w**2 + 3*w**2 + 11*w - 2*w**2. Let y be a(-11). What is the third derivative of 3*j**2 - 6*j**2 - 3*j**4 + 0*j**y wrt j?
-72*j
Let x be (2 + (3 - 9))*-2. Differentiate -2 - 11 + x*k**4 - 7*k**4 wrt k.
4*k**3
Suppose 4 = -4*l, 0*v + 34 = 5*v - 4*l. Suppose v = 2*p - 2. Find the second derivative of 8*t**2 - p*t**4 - 8*t**2 + 5*t + 6*t**4 wrt t.
24*t**2
Let d(y) = -46*y**3 + 4*y**2 - 2*y - 90. Let k(t) = 42*t**3 - 3*t**2 + t + 89. Let j(m) = -3*d(m) - 4*k(m). What is the second derivative of j(n) wrt n?
-180*n
Let q(v) = v**5 + v**4 - v**3. Let x(a) = 173*a**6 + 5*a**5 + 5*a**4 - 5*a**3 + 21*a**2. Let o(d) = 5*q(d) - x(d). Find the third derivative of o(w) wrt w.
-20760*w**3
Let a(z) = -z + 17. Let x be a(-8). What is the third derivative of x*m**5 + 5*m**2 + 20*m**5 - 9*m**5 wrt m?
2160*m**2
Let g = -222 + 473. Let f be g/1 + 4 + -7. What is the third derivative of 8*y**4 + 13*y**2 - 248*y**3 + f*y**3 wrt y?
192*y
Let k = 1364 + -1362. Let f(x) = -x**4 - 1. Let r(y) = y**4 + 0*y**4 + 3*y**4 + 9 - y. Let j(c) = k*r(c) + 18*f(c). Find the second derivative of j(s) wrt s.
-120*s**2
Let j(n) be the first derivative of -7*n**2 - 7*n + 20. What is the first derivative of j(z) wrt z?
-14
Find the second derivative of 186*t - t**3 - 550*t**2 - 37*t + 553*t**2 wrt t.
-6*t + 6
Suppose -4*d = -5*d + 26. Let g = d - 15. What is the second derivative of -5*x**3 - x - g*x + 5*x wrt x?
-30*x
Let j be 102/5 - -6*(-5)/(-50). Find the first derivative of j*r**4 + 113*r + 14 - 113*r + 1 wrt r.
84*r**3
Let c(y) = 42*y**3 + 164*y**2 - 10*y | {
"pile_set_name": "DM Mathematics"
} |
nd v?
18
Let y(d) = 5*d**2 - 3*d**2 - d**2 + 4 + d. Let w be y(-4). Let l be (2*2)/(1/10). Calculate the highest common factor of l and w.
8
Let y = 1 - -41. Suppose -66 = -2*c + 2*t + 2*t, 5*c + 5*t = 105. Let m = c - 18. What is the highest common factor of y and m?
7
Let x(w) = -w**3 + 3*w**2 + 3*w + 16. Let k be x(4). Calculate the greatest common divisor of 4 and k.
4
Let q(u) = 6*u**2 + u + 1. Let l be q(-1). Calculate the highest common factor of l and 18.
6
Suppose 0 = -2*a - 2*b + 104, 5*b + 75 = 2*a - 43. Let r(z) = z**2 + z - 3. Let w be r(3). Calculate the highest common factor of w and a.
9
Let x(a) = -5*a - 1. Let r be x(-4). Let f be (-5 - -4)/((-2)/76). Calculate the highest common divisor of r and f.
19
Suppose -l - l = -2. Let z be (-2 - 12)*l/(-2). Let t(c) = 6*c**2 + 2*c + 1. Let q be t(-3). Calculate the highest common factor of z and q.
7
Let x = -41 - -71. Suppose -4*g - 5*v + 25 = -19, 2*g + 2*v - 20 = 0. Calculate the greatest common divisor of x and g.
6
Let h = -6 - -10. Let u = h - -1. Let v be -2*(102/(-4) + -2). Calculate the greatest common factor of u and v.
5
Let v = 7 - 0. Let l be (-4)/(-2) + (0 - 3). Let y be -7*(12/(-1) - l). What is the highest common divisor of v and y?
7
Let v(p) = -p - 1. Let f be v(-3). Suppose 0 = -s + 4, 0 = 5*u - 0*s - 5*s - 30. Calculate the highest common divisor of u and f.
2
Let g be (-9 + 1)/(2/(-1)). Suppose g*v = 2*v + s - 15, -2*s = -3*v - 22. Let b be (-12)/v*8/6. Calculate the highest common divisor of 6 and b.
2
Suppose -3*p = 2*p - 70. Suppose u + 3*v - 111 = -18, 333 = 4*u - v. What is the greatest common divisor of u and p?
14
Suppose 5*m + 111 = 3*j, 81 = -j + 4*j + 5*m. Suppose 3*d + 5*i - 37 = 0, i - 2 + 3 = 0. Let r be 119/d + 2/(-4). What is the greatest common factor of j and r?
8
Let k(x) = x**2 + 7*x - 5. Let h be k(-10). Calculate the greatest common factor of 75 and h.
25
Let g = 10 - 14. Let u be 2/6 - g/(-12). Suppose u*v - 32 = -v. What is the greatest common factor of v and 48?
16
Suppose 9*j = 108 + 45. What is the highest common divisor of j and 119?
17
Let h(f) = 5*f**3 + f**2 - f. Let w be h(1). Let x be (-1 + 77)*w/4. What is the highest common divisor of 38 and x?
19
Suppose -147 = -2*x - n, 3*n + 42 = 3*x - 201. Calculate the highest common divisor of x and 19.
19
Let q be 9/1*(-1760)/(-60). Calculate the highest common factor of 24 and q.
24
Let x = 7 - 11. Let m(w) be the first derivative of w**4/4 + 4*w**3/3 - w**2/2 + 2*w + 1. Let t be m(x). What is the highest common divisor of t and 42?
6
Suppose -12 = -3*w, -k - k = -3*w - 60. What is the greatest common divisor of k and 9?
9
Suppose 5*b - 119 + 9 = 0. Let c = b + -3. Calculate the highest common divisor of 133 and c.
19
Let y(b) = -2*b - 6. Let s be y(-6). Let r be (s/(-8))/(3/(-72)). Calculate the highest common factor of r and 18.
18
Let b = -4 - -6. Suppose -3*l - 7 = b. Let p be ((-6)/(-10))/(l/(-30)). Calculate the greatest common divisor of p and 6.
6
Let a(v) = v**3 - v**2 + v + 77. Let y be a(0). Let c(m) = m**3 + 2*m**2 - 2*m - 1. Let b be c(2). Calculate the highest common divisor of y and b.
11
Let w = -14 - -39. Let h(a) = 8*a**2 + 0*a**2 + 16 - 7*a**2 - 6. Let m be h(0). Calculate the highest common factor of m and w.
5
Let f = 280 - 71. Calculate the highest common factor of 19 and f.
19
Suppose 0 = h + 4 + 1. Let g be 36*h*1/(-4). Let t = g + -23. What is the highest common factor of 198 and t?
22
Let i(p) = -24*p - 1. Let l be i(-1). Suppose -9*y - 75 = -282. Calculate the highest common divisor of y and l.
23
Let l be 22*(0 - -2) + 1. Let d be (-38)/(-8) + ((-13)/(-4))/13. What is the highest common factor of l and d?
5
Suppose -2 = o - 5. Let f be 2/1 - (o + -45). What is the greatest common factor of 110 and f?
22
Let z = -228 + 323. Let k = 199 + -123. Suppose k = i + i. Calculate the greatest common divisor of i and z.
19
Let j = 10 - -5. What is the greatest common divisor of j and 5?
5
Suppose -17*n + 15*n = -64. Let f = 7 + -3. What is the highest common factor of f and n?
4
Let y be -3 + -2 + 3 + 6. Suppose 2*a - 84 = -s, 3*a = 10 - y. Calculate the highest common divisor of s and 32.
16
Let t = 22 - 10. Let v be 3*2*40/t. Calculate the highest common factor of v and 5.
5
Suppose 4*m - m = 0. Suppose -2 = -n - m*n. Suppose y = 3*l + l - 61, 3*y = 5*l - 71. Calculate the highest common factor of n and l.
2
Suppose -4*g + 2*r + 58 = 0, -4*g + 82 = -4*r + 26. Calculate the greatest common factor of 75 and g.
15
Let u be 12/(-1)*1/(-3). Let j = 46 + -10. Suppose -u*m = -5*n - 105, 0 = 2*m - m + 2*n - j. What is the greatest common divisor of 6 and m?
6
Suppose -5*r + 3*n + 39 + 18 = 0, -2*n = -2. Calculate the highest common divisor of r and 132.
12
Suppose 5*x - 3*j - 37 = 0, 2*x - j - 14 = -0*j. What is the highest common factor of 45 and x?
5
Let i = 29 + 3. Let u = i - 18. Calculate the greatest common divisor of u and 154.
14
Suppose 18 = 2*c + 4. Calculate the greatest common factor of c and 14.
7
Let p = 35 + -23. Let y = 100 - -3. Suppose -y + 7 = -k. Calculate the highest common divisor of p and k.
12
Suppose -z = -5*w + 298, 3*w - z - 190 = -6*z. Calculate the highest common factor of 36 and w.
12
Let a be 114 + (-3 - -2 - 2). Let p = -76 + a. What is the greatest common divisor of p and 5?
5
Suppose -136 = -7*l + 5*l. Suppose 5*d - 81 = -v - 3*v, 5*d - 87 = 2*v. What is the highest common factor of l and d?
17
Suppose 2*b = -b + 81. Suppose 0 = -4*c + 13 + b. What is the greatest common factor of c and 15?
5
Let v(l) = l**3 - 16*l**2 + 14*l + 29. Let a be v(15). Calculate the highest common factor of 154 and a.
14
Suppose -110 = -5*k + 3*o, k - o = -5*o + 22. Calculate the highest common factor of 11 and k.
11
Let p(u) = u**3 + 15*u**2 + 14*u + 1. Let w be p(-14). Suppose -j - 3*m = -m - 16, -m - w = 0. What is the greatest common divisor of 198 and j?
18
Let a be (36/7)/(3/21). Suppose s = -4*t - 7, 35 = 5*s - 2*s - 2*t. Calculate the highest common factor of a and s.
9
Let l(i) = i**2 - 10*i - 17. Let k be l(13). What is the greatest common divisor of 11 and k?
11
Let q = 31 - 21. Suppose 2*p + 0*p = 14. Suppose -2*b - i + p = 0, -b - 4*i = -0*i. What is the greatest common divisor of q and b?
2
Let x = -20 - -36. What is the greatest common factor of 40 and x?
8
Suppose x - 12 = -0*x. Let q = 1 - -3. Suppose 0*s - q*s = -48. Calculate the highest common factor of x and s.
12
Suppose -10*v + 702 = -8*v. What is the highest common factor of 39 and v?
39
Let n = -23 + 27. Calculate the greatest common divisor of n and 44.
4
Suppose -28 = -2*d - 2*d. What is the highest common factor of 7 and d?
7
Suppose 2*v = p - 328, -5*p + 2*v = 7*v - 1580. What is the highest common divisor of p and 40?
40
Let f be ((12/(-9))/4)/(3/(-126)). Calculate the highest common factor of f and 2.
2
Let v be (-3 - -6)/(-3) + 54. Let f = -31 + v. What is the greatest common factor of 33 and f?
11
Suppose 0 = 4*a, -3*a + 71 = 2*s + 5. Suppose 5*u = 86 + 24. What is the greatest common factor of s and u?
11
Let o = -78 + 134. Calculate the highest common factor of 84 and o.
28
Let b(n) = 6*n - 4. Suppose -3*x - 12 = -5*x. Let d be b(x). What is the highest common factor of 80 and d?
16
Suppose -19 = -5*t + 11. Suppose -t*f + 180 = -f. What is the greatest common divisor of 9 and f?
9
Let i be (-20)/(-15) - 1520/(-12). What is the highest common divisor of 8 and i?
8
Let d(x) = -x. Suppose -2*c + 12 = 4*n, c + 6 = -0*n + n. Let v be d(n). Let q be (-2 + -1)/(v - -3). What is the highest common factor of q and 21?
3
Let k(v) = v**2 + v + 2. Let j be k(6). Let g = -26 + j. Suppose 4*z - 75 = 105. What is the highest common factor of g and z?
9
Let m(l) = 17*l**3 + 4*l**2 - 4*l - 4. Let j be m(-4). Let d = j + 1672. Suppose 0 = -0*o - 5*o + d. What is the greatest common factor of 12 and o?
12
Let s be (-3)/(18/28)*-6. What is the highest common factor of s and 70?
14
Let y(m) = m**2 - 5*m - 5. Let f be y(6). Let w = f + 7. Calculate the greatest common factor of w and 4.
4
Let a = 4 + -2. Let d = -11 + 17. Calculate the highest common divisor of a and d.
2
Let x be 3/(-5) - 1224/(-40). Calculate the greatest common divisor of 20 and x.
10
Suppose -4*a + z + 2*z = 12, a + 3*z = -3. L | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to 5 in 0.4, 0.5, -5?
0.5
What is the nearest to 8 in -1, -4, 0.4, -0.5?
0.4
What is the nearest to 2 in -0.1, 0, 0.3, -1/3?
0.3
What is the closest to 1/2 in -6, -8, -0.1?
-0.1
Which is the nearest to 0? (a) -4/3 (b) 6 (c) 10
a
Which is the nearest to 1.1? (a) 0 (b) 0.3 (c) -23
b
What is the closest to 2 in 3/4, -2/15, -0.2, 2/9?
3/4
What is the closest to 4 in -0.0432, 5, -0.3?
5
Which is the nearest to 2/7? (a) -3/5 (b) -154 (c) -4
a
Which is the nearest to -2? (a) -4 (b) -83 (c) 4/31
a
What is the nearest to 1 in -47, 0, 0.4, 1/5?
0.4
What is the closest to -1/2 in -3/7, -3, 3/2?
-3/7
What is the nearest to 1/2 in 10/7, -501, 2/13?
2/13
What is the closest to 1 in 2/11, 2.32, 0.3, 2/5?
2/5
What is the closest to 1 in 0, -1/3, -114?
0
What is the nearest to -1 in 0.4, -5, 2/29, -2/7?
-2/7
Which is the closest to 106? (a) 2/7 (b) 1 (c) 1/2 (d) 2
d
Which is the closest to 1/4? (a) -1.03 (b) -3 (c) -4/9 (d) -5
c
Which is the nearest to 0.2? (a) 0.5 (b) -1/7 (c) 2 (d) 2/9
d
Which is the closest to 0.39? (a) 3 (b) -4 (c) -1/2 (d) 0.1
d
Which is the nearest to 0.3? (a) -1/4 (b) -3/5 (c) -8 (d) -0.1
d
What is the closest to 0 in -45, -3, -5, -1?
-1
Which is the closest to -0.2? (a) -5/2 (b) 13 (c) 1
c
What is the closest to 0.2 in -1, 0, 47/2?
0
What is the closest to -0.02 in -5/4, 0.01, -3/7?
0.01
Which is the nearest to 1/3? (a) -4 (b) 0.026 (c) -0.01
b
Which is the closest to 0.2? (a) 1/4 (b) -2/5 (c) -3 (d) 1/8
a
What is the closest to 1/3 in -5, -0.1, -148?
-0.1
Which is the nearest to 1? (a) -3 (b) -11 (c) -2/7 (d) -1/6
d
Which is the closest to 41/3? (a) -5 (b) 2/3 (c) -0.9
b
What is the closest to 0 in -4, 2/13, -0.5, -1/13?
-1/13
Which is the closest to 0.1? (a) -3 (b) -0.8 (c) -1 (d) 4
b
Which is the nearest to 1? (a) 0.14 (b) -0.2 (c) -1/2 (d) -2
a
What is the closest to 9 in 1, 0.045, -1/3?
1
What is the closest to -0.2 in 12, -2, -5/39?
-5/39
What is the nearest to 10/3 in -0.5, -1/6, -5?
-1/6
Which is the closest to -0.09? (a) -0.05 (b) 0.2 (c) 0.4
a
Which is the closest to -0.1? (a) 4 (b) 5 (c) 0.05 (d) -0.5
c
Which is the closest to 0.1? (a) -4 (b) 10 (c) -2/3
c
What is the closest to -4 in -35, 0.3, -0.1?
-0.1
Which is the nearest to 1? (a) -1 (b) -1087 (c) 5
a
What is the closest to 0.1 in -5, -2, 12, 3?
-2
Which is the closest to -3? (a) 1/5 (b) -2 (c) -0.1 (d) 2
b
Which is the nearest to 2/5? (a) -0.5 (b) -6/11 (c) 6
a
Which is the nearest to -2/7? (a) 3 (b) 88 (c) 0.5 (d) 0.3
d
Which is the nearest to -0.37? (a) -1/2 (b) -5 (c) 1 (d) -1/4
d
What is the nearest to -1/12 in -2/7, 0.4, 0.3?
-2/7
What is the closest to 0 in 2, 5, 3/2?
3/2
Which is the closest to -1? (a) 34 (b) 4 (c) 0
c
Which is the closest to -2? (a) 0.4 (b) 2 (c) -2/7 (d) 2.2
c
What is the nearest to 1 in -0.4, -24, -3/13, 1?
1
What is the closest to -4 in -0.5, 0, -5, 2/5?
-5
Which is the nearest to -0.2? (a) -5 (b) 0.6 (c) -2/7 (d) -0.5
c
Which is the nearest to -0.4? (a) -1.3 (b) -3 (c) 3/7 (d) -0.2
d
What is the closest to 1 in -1/8, -2, -1/10, 1/4?
1/4
Which is the closest to -1/4? (a) -3/8 (b) 2 (c) -5 (d) -1
a
Which is the closest to 1? (a) 0.4 (b) -932 (c) -2/3
a
Which is the closest to 0.04? (a) -1 (b) -8 (c) -5
a
What is the closest to -1 in 1/5, 0, -1/2?
-1/2
What is the nearest to -3 in -3, -32, 3?
-3
What is the closest to 1/3 in -10/7, 1/4, 0.4?
0.4
Which is the nearest to 0? (a) 0 (b) -2/13 (c) 7 (d) -0.46
a
What is the nearest to 0.2 in 0.2, 2, 1/4, 14?
0.2
What is the closest to 1 in 1/22, 4, 2?
1/22
Which is the closest to -0.1? (a) -224/3 (b) 2/7 (c) -1
b
Which is the closest to 2/47? (a) -0.2 (b) -5 (c) -1
a
What is the closest to 3 in 22, 0, 3, -0.1?
3
What is the closest to -1/2 in 0.165, -0.5, 3?
-0.5
What is the nearest to 1/3 in 0.2, 1/4, -4/5, 14/9?
1/4
What is the nearest to -12/5 in -4, 154, 0.2?
-4
Which is the nearest to -1/4? (a) 2/7 (b) -4 (c) 3 (d) 1/14
d
Which is the nearest to -7? (a) -0.4 (b) -0.2 (c) -0.042
a
What is the closest to -11 in -1, 0, -0.1, -1/3?
-1
Which is the closest to -2/7? (a) -4 (b) 1 (c) -0.1
c
Which is the closest to -3? (a) -0.3 (b) -4 (c) 0 (d) -2/13
b
What is the closest to 2/7 in 0.5, 0, -9, -3?
0.5
What is the nearest to -0.3 in -4, 1, 5, -0.5?
-0.5
Which is the closest to 0.1? (a) -1 (b) 0.03 (c) -5
b
Which is the closest to 5.4? (a) -0.8 (b) -1 (c) 0.4
c
What is the nearest to 1 in 1, 1/5, -0.2, -1/4?
1
Which is the nearest to 2/3? (a) 2 (b) -1 (c) 4 (d) -2
a
What is the closest to -1/4 in -0.03, -0.07, -0.2?
-0.2
What is the nearest to 26 in 5, 0.4, 0.1?
5
Which is the nearest to -1/2? (a) -0.31 (b) -0.2 (c) 5
a
What is the nearest to 1 in 4, 1/7, 4/1021?
1/7
What is the closest to 0.03 in 0.4, 2/17, 0.2?
2/17
What is the nearest to 0.12 in 2/11, 0.3, 0.25?
2/11
What is the closest to 3 in 0.1, 3, 0.2?
3
Which is the closest to -3? (a) 1/2 (b) 0.4 (c) -3 (d) -13
c
What is the closest to -2 in 0.21, 1/7, -2/35?
-2/35
What is the closest to 23/39 in 3, 0.2, -3, -5?
0.2
Which is the nearest to 1? (a) -0.5 (b) 17 (c) 2 (d) 4
c
What is the closest to -4 in 7, 3, -4?
-4
Which is the closest to 8? (a) -18 (b) 4 (c) -2/7
b
Which is the closest to -1? (a) -6 (b) 1 (c) 5 (d) 7/4
b
Which is the closest to 1? (a) 0 (b) -2/13 (c) -1.3
a
Which is the closest to 5? (a) 1 (b) 3 (c) -5
b
What is the closest to 1/4 in -1, 8, 0.1?
0.1
Which is the closest to -25? (a) -4 (b) 2/3 (c) -13
c
Which is the closest to -1/2? (a) 0.3 (b) -0.12 (c) 1/2 (d) 1/6
b
What is the closest to -16 in -2, -0.2, -0.13, 0?
-2
Which is the nearest to 0.5? (a) 0.04 (b) 1 (c) -5
a
Which is the closest to 1/37? (a) -0.1 (b) -8 (c) 0.1 (d) -21
c
Which is the closest to 1? (a) -2 (b) -0.3 (c) -0.08 (d) -3
c
What is the nearest to 1 in -0.3, 0.4, -39, -0.1?
0.4
Which is the closest to 0.1? (a) 2 (b) 3 (c) -4/3 (d) -66
c
Which is the closest to -2? (a) 24 (b) 4 (c) 0.01
c
What is the nearest to -1 in 0.2, -3, -137?
0.2
What is the nearest to 5 in -21, -17, 4, -4?
4
What is the nearest to -0.2 in 80, 6, -0.4?
-0.4
What is the closest to -0.1 in -0.4, 0, -0.017?
-0.017
What is the closest to -6 in -2, 1, -0.2, -19?
-2
What is the closest to -0.24 in 9, 0.5, -2?
0.5
Which is the nearest to 0.1? (a) 2 (b) 3.6 (c) 4/3
c
Which is the nearest to 2/9? (a) -3/4 (b) -4 (c) 14 (d) -2/15
d
What is the closest to -3 in -274, -1/3, -0.2, -1/2?
-1/2
What is the closest to -0.2 in -5, -2, 0.2?
0.2
What is the closest to -1 in -0.26, 1.8, 4?
-0.26
Which is the closest to 4? (a) 0 (b) -0.1 (c) -1 (d) 1
d
Which is the nearest to -0.1? (a) 0.06 (b) -4 (c) 5 (d) 3/5
a
What is the nearest to 0.1 in 5, -5, 7, -1/9?
-1/9
Which is the nearest to 0.1? (a) 0.28 (b) -2/13 (c) 4/3 (d) 0.3
a
What is the closest to 1/9 in 4/3, 1, 5, 0.2?
0.2
Which is the closest to -1? (a) -13 (b) 3/8 (c) -5 (d) 0
d
What is the closest to -0.3 in 8, -2, 2, -1/4?
-1/4
What is the closest to 3 in -0.2, 3, -4?
3
Which is the nearest to 1? (a) 12/13 (b) -1/4 (c) 10 (d) -5
a
What is the nearest to 1/3 in 4, -11, 1.4?
1.4
Which is the closest to -0.1? (a) 3/5 (b) 2/7 (c) -1/2 (d) -0.09
d
What is the closest to -0.1 in -0.4, -64, -0.6, -4?
-0.4
What is the nearest to 104 in 0.3, -7, -5?
0.3
Which is the closest to -1/6? (a) 2/7 (b) 12 (c) -0.05
c
What is the closest to 35 in 3/2, -2/25, 4/3?
3/2
Which is the closest to -0.1? (a) -5 (b) -0.11 (c) -8 (d) 1
b
Which is the closest to 0.26? (a) -1/2 (b) 4 (c) -0.2 (d) -2/9
c
What is the closest to -2/15 in 3, 10, 2, 2/3?
2/3
Which is the closest to -2/5? (a) 1/8 (b) 0.06 (c) -0.3
c
Which is the closest to 64? (a) 2 (b) -0.3 (c) -2/7
a
What is the closest to 0.1 in -2, 4, -4.8?
-2
Which is the nearest to 0.1? (a) 51 (b) -0.09 (c) 3
b
Which is the nearest to 0.1? (a) -0.3 (b) 5 (c) -6 (d) 19
a
What is the nearest to -0.5 in -1, -2/79, -5?
-2/79
Which is the closest to 1/61? (a) -1 (b) 0 (c) 0.3
b
Which is the nearest to -1? (a) -2 (b) 4 (c) 763
a
Which is the closest to 0.1? (a) 0 (b) 10 (c) 1 (d) 0.4
a
Which is the closest to -2/7? (a) 1/3 (b) 0.2 (c) -3 (d) -1/3
d
What is | {
"pile_set_name": "DM Mathematics"
} |
/4)) assuming z is positive.
z**(331/40)
Simplify ((v/(v*v/(v/v**(-9))))/(((v**(5/3)*v)/v)/v)*v/(v**(2/23)/v*v*v)*v*v**9)**(-4/21) assuming v is positive.
v**(-5036/1449)
Simplify (p**(2/35))**(5/7)*(p/p**(1/9))/((p*p*p/(p*p**24*p))/p) assuming p is positive.
p**(10994/441)
Simplify ((o/((o*o/(o*(o**16/o)/o)*o*o)/o))/(((o*o/o**(-4))/o)/o*o*o))/(o/(o**14*o)*o**(-2/17)) assuming o is positive.
o**(359/17)
Simplify (k/(k/k**(3/7)))/k**(-27)*k*k**(-2/17)*k/(k*k*k**(-33)) assuming k is positive.
k**(7177/119)
Simplify (x**9*x)**(1/7)/((x**(-15/7)/x)/(x**(-28)*x)) assuming x is positive.
x**(-157/7)
Simplify (d/(d*d*d**(2/9)/d*d))**(1/9)/((d/(d*d/((d*d**(-4/11)/d)/d)*d*d))/d**(-5)) assuming d is positive.
d**(-688/891)
Simplify (n*(n/(n*n**(-1/22)))/n)**(-6/11)*n/n**(11/6)*n**(-2/21) assuming n is positive.
n**(-1615/1694)
Simplify (z**(-5)/(z**(-6)*z*z)*(z**2)**(3/11))**(-47) assuming z is positive.
z**(235/11)
Simplify ((((g/(g/(g/(g*g/((g*g**(-10))/g*g)))))/g)**(1/49))**(3/7))**9 assuming g is positive.
g**(-297/343)
Simplify (t/(t/(t/(t*(t**(-10/9)*t)/t*t)*t))*t*t**(-5)*t*t*t)/(t**2)**(-38) assuming t is positive.
t**(685/9)
Simplify ((i*i**23)**(-7))**(1/16) assuming i is positive.
i**(-21/2)
Simplify u**(-1)*u**1*u**(-7/4)/u*u**(-12) assuming u is positive.
u**(-59/4)
Simplify o/(o*o*o*o**(-24))*o/(o**(25/3)/o)*((o**24*o)/o)/o*o/o**(11/2) assuming o is positive.
o**(205/6)
Simplify ((c*c/c**(2/5)*c)**(-2/7)*(c/((c*c**(4/9))/c))/((((c*c**(2/5)*c)/c)/c)/c))**(-8) assuming c is positive.
c**(-208/63)
Simplify (z**(-1/23))**(-1/28)*((z/((z**(-5/6)/z*z)/z))/z)/((z**(-7/6)/z)/z) assuming z is positive.
z**(3221/644)
Simplify (((z/z**5*z)/z**(-1/3))/((z*z/(z*z*(z/z**(2/13)*z)/z*z*z))/z*z*z**(-2/13)))**(2/61) assuming z is positive.
z**(2/183)
Simplify ((m**0/(m*m*m**0))/((m*m**(2/13)/m*m)/m*m*m*(m*m**6/m)/m))**(-26/5) assuming m is positive.
m**(238/5)
Simplify (t**11/t)/(t/(t/t**3))*(t*t**(-2/5))**48 assuming t is positive.
t**(179/5)
Simplify (h/(h*h*h**(-3)))**(12/5)/(h**(-1/15)/(h*h**(-2/73)/h)) assuming h is positive.
h**(5299/1095)
Simplify (((h*h**4)/h)/(h*h*h**10))/(h**(2/27)/h*h/h**(2/43)) assuming h is positive.
h**(-9320/1161)
Simplify ((((t**0/t*t)/t)**(1/31))**38)**(2/21) assuming t is positive.
t**(-76/651)
Simplify (l**(-3/4))**(22/7)/((((l**(9/2)/l)/l*l)/l)/(l*((l/(l/((l/(l/(l**7*l)))/l*l)))/l)/l)) assuming l is positive.
l**(15/7)
Simplify (((q**(6/7)/q*q*q)/q)/q)**(11/3)*((q/(q/(q*q*q**4*q)))/q*q*q)**32 assuming q is positive.
q**(5365/21)
Simplify (i**(1/6)*i/(i**(5/2)/i)*(i/(i/(i/(i/i**1))))/(i**(-2)/i))**26 assuming i is positive.
i**(286/3)
Simplify (d/d**(-5/2))/(d**(-12/13)/d)*(d**(2/7)/d)**(-4) assuming d is positive.
d**(1507/182)
Simplify (((o*o**2*o*o)/o)/(o/(o**(2/9)/o))*(o*o**1)/(o*((o/((o/o**(-7))/o))/o)/o))**(1/2) assuming o is positive.
o**(101/18)
Simplify (q*q/q**(1/4))**(-8)/(q**9/q*q/(q/(q**(1/8)/q))) assuming q is positive.
q**(-169/8)
Simplify ((j/j**7)/j**10)/(j**7*j)**(-35) assuming j is positive.
j**264
Simplify j/j**(-2/19)*j/j**16*((((j/(j*j*j**(-21)/j))/j)/j)/j)/j*j**(3/4) assuming j is positive.
j**(293/76)
Simplify (y/(y**(-9/2)*y))**48/(y**16)**45 assuming y is positive.
y**(-504)
Simplify ((c/(c/(c/(c**(-13)/c))))**(-9/8))**(1/46) assuming c is positive.
c**(-135/368)
Simplify v**32*v**(4/13)*v*v**(1/7)*v**(1/25) assuming v is positive.
v**(76191/2275)
Simplify (x/x**(3/2))**38/(x*x**(4/9))**39 assuming x is positive.
x**(-226/3)
Simplify ((((i*i*i**(-14)/i)/i)/i)/(i**(10/9)*i))/(i**(8/5)/i*i/(i*(i/(i/(i*i/(i/(i**(-4)/i)*i))*i))/i)) assuming i is positive.
i**(-1112/45)
Simplify ((d**(2/7)*d**(-3/5)/d)**(-2/33))**(-2/81) assuming d is positive.
d**(-184/93555)
Simplify (d**(-5/6))**(-11)/(d/(d*d*d**(-4/15)/d)*d/d**(-25)) assuming d is positive.
d**(-171/10)
Simplify p**(-1/6)*p/(p/(p**(1/6)*p))*(p**(1/10))**(1/79) assuming p is positive.
p**(791/790)
Simplify (a*a/a**1)**26*(a*a**(2/31))**(-6/5) assuming a is positive.
a**(3832/155)
Simplify (((w/(w*w/(w*w**3))*w)/(w*w**7))/(w**0)**(-2/77))**(-15) assuming w is positive.
w**60
Simplify n/(n*n*n/(n*n**2*n))*(n/((n/(n*n**(-1/4)))/n))/n*n*n/(n/n**(-15))*n*n/n**2 assuming n is positive.
n**(-45/4)
Simplify ((j**(13/2))**(-26))**(-34) assuming j is positive.
j**5746
Simplify j**(-2/9)/(j*j**(-4))*j/((j*j**(-1/11)*j)/j)*j/(j/j**(-7)) assuming j is positive.
j**(-409/99)
Simplify ((y/y**(-5)*y**(-6)/y)/(y*y**(-2)*y)**(1/6))**(-7) assuming y is positive.
y**7
Simplify (j*j**2/j*j*j*j*(j/((j/(j*j**(-2/23)*j))/j)*j)/j*j)/(j**12/((((j*j**(-4))/j)/j)/j)) assuming j is positive.
j**(-209/23)
Simplify (b**(-3)*b**18)/(b**(-1/21)*b**(-21)) assuming b is positive.
b**(757/21)
Simplify c**14/(((c/c**18)/c)/c*c)*(c**6*c)**(-48) assuming c is positive.
c**(-304)
Simplify (r*r/(r/(r/r**(-1/2)))*r**(1/8))**32 assuming r is positive.
r**84
Simplify ((h**(2/11)/h)/h**(-4/11))/(h**14*h/(h/h**(-5/2))) assuming h is positive.
h**(-263/22)
Simplify (t**(-2/11)/t*t**(-5)/t*t/t**(-3)*(t*t**(-11))/t)**16 assuming t is positive.
t**(-2496/11)
Simplify (((n*n**(-3/11)/n)/n)/(n**(1/3)*n))/(n**(2/67)/(n**12*n)) assuming n is positive.
n**(22915/2211)
Simplify ((g**0*g*g**(-5/2))/(g**1/(g**(3/2)/g)))**50 assuming g is positive.
g**(-100)
Simplify ((q*q*q**(-4/9)*q)/q)**(-25)/(q**(-3/11)*q/((q**(-7)/q)/q)*q) assuming q is positive.
q**(-4912/99)
Simplify (z**(-17)*z**(-4/11)/z)/(((z*z/(z/((z/z**(2/3)*z)/z*z)))/z*z)/z*z*z*z*z**25*z) assuming z is positive.
z**(-1607/33)
Simplify (t**(4/5)*t*t**21)/(t**(-1/8)/t**(-3)) assuming t is positive.
t**(797/40)
Simplify ((g*g*g*g**(-2/5))/g**4*(g/g**(-2/5))/(g/(g/((g/g**2*g)/g))))**20 assuming g is positive.
g**20
Simplify (r**22/(r**(7/2)*r))/(r**(-2)*r*r*r/(r**13/r*r)) assuming r is positive.
r**(59/2)
Simplify ((p*p*p*p**(-2/5)*p*p)**(-20)/((p*p**(2/3))/p)**(-1))**(-12/13) assuming p is positive.
p**(1096/13)
Simplify ((l/(((l/(l**(-34)*l*l*l)*l)/l)/l)*l)/(l**(-15)*l))**(-2/39) assuming l is positive.
l**(10/13)
Simplify (l**17*l**(-15/4))/(l*l**(1/18)*l**(2/33)) assuming l is positive.
l**(4805/396)
Simplify (m**(-1/5)*m/((m**(1/3)*m)/m))/(m**(-11)*m/m**(2/29)) assuming m is positive.
m**(4583/435)
Simplify (k**(-11)/k*k**(4/3)/k)/(k*k**(-5)*k*k/k**0) assuming k is positive.
k**(-29/3)
Simplify (((a*a/(a/((a*((a/((a*a*a**(-2/55))/a))/a)/a)/a*a)))/a)/a**2)/(a**(-6/5)/(a*a*a/(a**(-2/49)*a)*a)) assuming a is positive.
a**(3442/2695)
Simplify v**(-15)*v*v**0/v*v*v**(-21)/(v/v**(-5/4)) assuming v is positive.
v**(-149/4)
Simplify ((l*l*((l/(l*l**(2/5)/l))/l)/l)**(-50)*l**3*l**(-7)*l)**(29/3) assuming l is positive.
l**(-319)
Simplify z/z**(-1/8)*z/(z*z**(-2/57)/z)*z/(z*z**(2/13))*z*((z*z/(z*(z/(z/(z*z*(z/z**(-30))/z))*z)/z))/z)/z assuming z is positive.
z**(-177803/5928)
Simplify (j**(-7)/(j*j/(j*j*j**(-10/3)*j*j*j)))/(j**(-1/6)/j*j)**30 assuming j is positive.
j**(-7/3)
Simplify (i**(-1/8)/((i**1*i*i*i)/i)*(i/i**(-9))/i**4)**(-19/6) assuming i is positive.
i**(-437/48)
Simplify (t*t**(-3)/t*t**(-1/3)*(((t**(-1/7)/t)/t)/t)/t*t**(-5))**(-4) assuming t is positive.
t**(1048/21)
Simplify (x**(-5)*x)**(2/11)*(x**(1/4))**(1/61) assuming x is positive.
x**(-1941/2684)
Simplify (((p/p**1*p)/((p*(p*p**(-2/5)/p*p)/p)/p))/(p**(-5)*p*p/p**(-2/5)*p))**(3/23) assuming p is positive.
p**(9/23)
Simplify (u*u**(-3/5))/(u/((u*u**(-13)*u)/u))*u**(-15)*u*u**(-3/8) assuming u is positive.
u**(-1079/40)
Simplify q*q/(q/(q**(-2/27)*q*q))*q**(-15)*q**(-21)/(q*q**(-16/5)*q) assuming q is positive.
q**(-4303/135)
Simplify ((q**0*q)/q*q/q**(-5/4))/((q*q**(-9))/q*q/(q*q**(-1/4))*q*q) assuming q is positive.
q**9
Simplify (w**22/(w*w**(-32)*w*w))**(-1/30) assuming w is positive.
w**(-17/10)
Simplify (q/(q*q**(-2/7)))**16/(q*q**(-1/3)*q)**(-45) assuming q is positive.
q**(557/7)
Simplify (m**(4/3)*(m*m**(4/9))/m*m*m**(3/5)*m/(m*m**3))**46 assuming m is positive.
m**(782/45)
Simplify ((i*i/(((i/(i*i**(-7)*i))/i*i)/i))/i*i*i**(-2/17)*i)**(-1/80) assuming i is positive.
i**(9/340)
Simplify (b*b**(-22)*b**(5/12))/(b/((b**(-1/9)*b*b)/b)*b*b**(2/43)) assuming b is positive.
b**(-33655/1548)
Simplify ((w**(-10)/(w**5*w))/(w*w**(-2/3)*w*w/(w*w**(-11)*w)*w))**(-31) assuming w is positive.
w**(2635/3)
Simplify (i**6/(i**5/i))/((((i**(-3/17)/i)/i)/i*i)/(i**(-1/6)*i)) assuming i is p | {
"pile_set_name": "DM Mathematics"
} |
-a*l = 4*c - 32. Is c prime?
False
Let h(q) = 34*q**3 + 2*q**2 + 3*q. Let c be h(3). Let d = c - 510. Is (-1 - d/12)*-4 prime?
True
Let c be (1/(-2))/((-3)/12). Suppose 3*l - 4*m - 8 = 20, -c*m + 12 = 5*l. Let i(g) = 9*g**2 - 4*g + 3. Is i(l) composite?
False
Let k = -1946 - -2815. Is k composite?
True
Let t(y) = -y**2. Let m(z) = 5*z**2 + 11*z + 9. Let p(o) = m(o) + 6*t(o). Is p(7) a prime number?
True
Let q(c) = 49*c**2 - 3*c - 3. Is q(-2) composite?
False
Suppose -3*k - 31 = -145. Suppose -v + 0*v - k = 0. Is (v/(-4))/((-3)/(-6)) a composite number?
False
Suppose -l - 2*l + 54 = 0. Suppose -5*y + 5 = 10, b = 4*y + l. Is b composite?
True
Let f = 515 + -366. Is f a prime number?
True
Suppose -h + 25 = 4*h. Suppose 21 = h*p + 6. Suppose -p*x = -19 - 128. Is x composite?
True
Let u be (-7)/1*(-18)/(-21). Let f be (-1 - -2)*u/3. Is 4/f*110/(-4) composite?
True
Suppose -727 = -4*q + 1669. Is q a prime number?
True
Let d = -108 + 82. Let v(k) = -3*k**3 - 3*k**2 - k + 4. Let c be v(-3). Let i = c + d. Is i a composite number?
True
Suppose 3*s = s - 3*t + 2933, 3*t + 4362 = 3*s. Is s prime?
True
Let g = -28 + 47. Suppose -g + 351 = 4*h. Is h a prime number?
True
Let t(x) = x**2 - 14*x - 4. Let a(o) = o**2 - o. Let i(b) = -2*a(b) + t(b). Is i(-7) a composite number?
False
Let z be 3/(2/(-4)*-2). Suppose -z*v + 1 = r, v = -3*v + 2*r + 18. Is (v + -193)/(-1 + 0) composite?
False
Suppose -1497 = -0*x - 3*x. Is x prime?
True
Let g(l) = l**3 + 7*l**2 + 4*l - 1. Let v be g(-6). Is (-5)/25 - v/(-5) prime?
True
Suppose -338 = -2*s + 108. Is s prime?
True
Let b(x) = x**3 + 6*x**2 - 4*x + 2. Is b(4) prime?
False
Let y(t) be the first derivative of -t**4/4 - 4*t**3/3 - t**2 + 2*t - 5. Is y(-5) prime?
True
Suppose -3*y + 0 + 9 = 0. Suppose -2*s - 3*m + 307 = 0, m + 468 = y*s - 2*m. Is s a prime number?
False
Let a be (-2)/(-4)*(-1 + 1). Let j = 399 - 233. Suppose a = 3*q - q - j. Is q a composite number?
False
Let k(q) = q**3 + 7*q**2 - 10*q - 11. Let c be k(-8). Suppose c*r - p = p - 7, 4*r = -p - 3. Is 79/(r - 1 - -3) a prime number?
True
Let t be (-2)/(-4)*(-20)/(-2). Let l = 8 - t. Suppose -l*g = g - 436. Is g prime?
True
Let a = -326 + 489. Is a a composite number?
False
Let y = 82 - 29. Is y composite?
False
Suppose 5*r - l = -61, l = -1 + 2. Let a(b) = 27*b**2 - b - 1. Let s be a(-1). Let j = s + r. Is j a prime number?
False
Suppose 14 = 5*m + 84. Is 1119/2*m/(-21) a composite number?
False
Let k(x) = -412*x. Let q be k(5). Is 2*q/(-8) - 4 composite?
True
Let k(a) be the second derivative of -8*a**3/3 - 2*a**2 - 2*a. Let r be k(4). Is 2/(-4)*2 - r a prime number?
True
Suppose 2*r - 302 = k, -5*r = -2*k + 6*k - 729. Is r prime?
True
Let o be 2/(66/(-32) - -2). Is (-6)/(-9) + o/(-6) prime?
False
Suppose -1 = s - 6. Let n(b) = b**2 - 3*b + 7. Let i(m) = 1. Let x(p) = -2*i(p) + n(p). Is x(s) prime?
False
Let f(s) = -9*s**2 + 0 - 4 + 5 + 10 - s**3 - 9*s. Is f(-8) composite?
False
Let z(t) = 371*t - 47. Is z(6) a composite number?
False
Let j = 19 + -14. Suppose j*h + 2*t + t - 174 = 0, 4*t + 87 = 3*h. Is h a composite number?
True
Let v(g) be the first derivative of g**3/3 + 2*g**2 - 1. Is v(-7) prime?
False
Suppose 0 = 31*w - 26*w - 955. Is w a composite number?
False
Is (5 + -3)/((-8)/(-1324)) a composite number?
False
Suppose 4 - 12 = -2*q. Suppose -16 - 4 = -q*x. Is 4/(-10) - (-397)/x composite?
False
Let d(a) = a**2 + 2*a + 2. Let u be d(-2). Let t be u/6 - (-5710)/15. Suppose -t = -4*p + p. Is p prime?
True
Let b(h) = h**3 + h**2 - 5*h + 4. Let w be b(3). Let s = w + -4. Is s prime?
False
Let d be (22/(-55))/(1/35). Let k = -12 - d. Is k a composite number?
False
Let u = 3684 - 2207. Is u a prime number?
False
Let g be ((-2)/4)/((-1)/4). Let u be 11/5 - g/10. Suppose -u*f + 9 = -5*c, -4*f - 3*c + 4*c = -27. Is f composite?
False
Let f = 2 + 2. Let b be (-1156)/(-18) - f/18. Is 3/(-9) - b/(-3) prime?
False
Suppose -3*x + 619 = 202. Is x prime?
True
Let q(j) = -2*j**3 + 2*j - 1. Let c be q(1). Is 162 - 18 - (c + 0) a composite number?
True
Let p = 16 - -115. Is p composite?
False
Let t(j) = 395*j**3 - 2*j + 2. Is t(1) composite?
True
Suppose 0 = 5*j + 15, -5*l + j + 19 = -l. Suppose 3*s + 0*s - 216 = 3*n, 3*n - 253 = -l*s. Is s composite?
False
Suppose -2*b + 2037 = b. Is b a composite number?
True
Let d = 403 - -288. Is d a prime number?
True
Suppose 2*n + 57 = a, 240 = 4*a + 2*n + 2*n. Is 2 + -2 + a - 1 composite?
True
Let o = -116 - -249. Is o composite?
True
Suppose 5*i - 10 = 0, -3*c - 5*i + 38 = -86. Let a = -7 + c. Is a a composite number?
False
Suppose 2*s + 24 = 3*a - 114, -2*a + 4*s + 100 = 0. Let o = -240 - a. Let w = -169 - o. Is w a composite number?
True
Let s be 6 + -1 - (3 - 2). Let k be (-4)/(-6)*(s + -1). Suppose 38 + 28 = k*u. Is u a prime number?
False
Let s be 6/(-21) - (-51)/7. Suppose -c + 42 - s = 0. Is c a prime number?
False
Suppose -d - 4*l + 43 = 0, d + 2*d - 3*l - 159 = 0. Suppose -5*h + 2*q = -99, h - d = -h - 3*q. Is h prime?
False
Let x = -231 - -437. Is x a composite number?
True
Let b be (-26540)/14 - (-2)/(-7). Is (b/36)/((-2)/3) a prime number?
True
Suppose 0 = 5*g - 8 + 38. Let z = 8 + g. Suppose 53 = h + 3*i - 2*i, -z*h + 106 = -5*i. Is h a composite number?
False
Suppose -2*n + 38 = 3*r + 2*n, 5*r + 5*n = 60. Let p(t) = -t**3 + 13*t**2 - 12*t + 5. Is p(r) a composite number?
True
Let d(u) = 7*u**2 - 6*u + 54. Is d(-13) a prime number?
False
Let w(t) = -39*t - 14. Is w(-15) a prime number?
True
Suppose 4*y + 0*a = 5*a + 45, 2*a + 15 = y. Suppose -2*m + 383 = y*v, m + 1 = -0. Is (-3)/6 + v/2 a prime number?
False
Let l(d) = -d**2 - 4*d + 4. Suppose -3*v = -z + 7, -4*v + 4*z = v. Let a be l(v). Suppose 3*m = a*y - 66 - 6, -5*m = -20. Is y a prime number?
False
Let x = 83 - 49. Suppose 5*w + 11 = 291. Let a = w - x. Is a composite?
True
Let m = 28 - 13. Is m a composite number?
True
Suppose g + 2 = 2*p - 0, -p = g - 4. Suppose g*t - 75 = 27. Is t composite?
True
Is ((-1 + 144)*-1)/(-1) composite?
True
Let y(b) = -3*b**2 + 9*b + 1. Let u be y(8). Suppose -4*f = -185 - 647. Let c = f + u. Is c a composite number?
False
Let p(t) = -2*t**2 - 9*t - 10. Let m be p(-5). Is (-40)/m + (-1)/(-3) a prime number?
True
Is ((-4)/12)/(3/(-666)) a prime number?
False
Suppose 0 = l + l. Suppose 2*z - 7*z = -3*r - 73, -z + 5*r + 19 = l. Is z prime?
False
Suppose 44 = k - 4*z, -4*k - 2*z - 3*z + 218 = 0. Let q = -29 + k. Suppose 2*m = q + 3. Is m prime?
True
Is (-6)/((-12)/4) - -783 a prime number?
False
Let a be -2*(-149)/(-4)*-2. Let r be 6 + -1 - (-7 + 8). Suppose -5*i = m - 56, -i + a = r*m + 4*i. Is m prime?
True
Suppose -2*d + 19 = -3*n, n + 23 = 4*d - 0*d. Is 3/(-18)*n*46 prime?
True
Let g(w) be the second derivative of -7*w**3/3 - 7*w**2/2 + 4*w. Is g(-7) a composite number?
True
Suppose -110 = -3*s + 64. Is s prime?
False
Suppose 6*a - 5845 = 11729. Is a a prime number?
False
Let x(a) = -1 - 1 - 3*a**2 - 4*a**2 - 7*a - a**3. Let b be x(-6). Suppose 0*q - b*q = -28. Is q prime?
True
Suppose -3*v - 2581 - 46 = -5*j, 2*j - 1034 = -3*v. Is j a composite number?
False
Let g be (-4 + -8)*(-220)/16. Suppose -o + 0*i = i - 140, -o + 4*i = -g. Is o prime?
False
Let w(x) = 88*x**2 + x - 10. Is w(3) composite?
True
Suppose 5*z + 2*d - 95 = -3*d, -2*z + 2*d = -18. Let j(o) = o**2 + 10*o + 1. Is j(z) composite?
False
Let y = 1593 - 608. Is y composite?
True
Let t(p) = -5*p**2 - 2. Let h be t(2). Is (-1 - h) + 5 + -3 a composite number?
False
Let q(d) = d**2 - 2*d + 1. Let t be q(-4). Let y = t - -4. Let h = -18 + y. Is h a composite number?
False
Is 1216/2 + 6/2 composite?
True
Let k = 10 + 14. Suppose -4*a + 34 = 5*b, 0 = 3*a + 2*b + b - k. Let y(c) = 9*c - 3. Is y(a) a composite number?
True
Suppose -3*q + 2*j + 16 = -2*j, -5*q - j = 4. Let r be ((-2)/3)/(3/(-18)). Suppose 2*w = -q*w + r*i + 16, 4*i - 14 = -w. Is w composite?
True
Suppose -89 + 23 = -2*b. Is b a composite number?
True
Suppose -4*c - 4*a = 40, -4*c - a = a + 48. Let s be 144/(-14) - 4/c. Is 2 - 62*s/4 composite?
False
Suppose 6*z - 1255 = z. Is z prime?
True
Suppose 3*u + 19 = -4*l, 27 = -5*u - 2*l - 0. Let n(b) = 4*b**2 + 7*b. Is n(u) a composite number?
True
Let w(v) be the first derivative of -2*v**3/3 - 3*v**2/2 + 3*v - 1. Let x be w(-3). Let d(c) = -5*c + 1. Is d(x | {
"pile_set_name": "DM Mathematics"
} |
4
Suppose 5*c = 14 + 6. Suppose 21 = -3*j + 10*j. Suppose 0 = j*g + 2*b + c, g = 4*g - 4*b - 8. Solve 2*q + 1 - 7 = g for q.
3
Let w(p) = p**2 + 4*p + 4. Let h be w(-4). Let z be 5 - h - 14/(-2). Solve -3*n + 25 = -z*n for n.
-5
Let a = -12 - -14. Let r(t) = 2*t - 4. Let i be r(a). Solve i*q + q + 2 = 0 for q.
-2
Let q(a) = -a**3 + 3*a**2 - a - 4. Let o be q(3). Let s = o - -12. Solve -s*j - 1 + 26 = 0 for j.
5
Let b = 13 - 12. Let o be 0/(b/(-1 - -2)). Let s be (-9 + 8)/(-1 + o). Solve -4*j + 5*j - s = 0 for j.
1
Let v(k) = k + 27. Let u be v(-11). Let l = u - 13. Solve l*m = -2*m + 10 for m.
2
Let j be 1/3 - (-14)/3. Solve -j*i + 20 = -i for i.
5
Suppose 0 = 4*m - 12 + 4. Let f be (-1*m)/(10/(-15)) + 1. Solve -g - f*g - 5 = 0 for g.
-1
Let p be 4 + 3 + -3 + -4. Suppose p = 3*v - x - 13, -21 = -5*v + x + x. Solve -5 = v*a - 0 for a.
-1
Suppose -200 = -17*x - 23*x. Solve -x = -f - 7 for f.
-2
Suppose 6*n + 282 = -0*n. Let k = 49 + n. Solve k*f - f + 1 = 0 for f.
-1
Let a(y) = -4*y**2 + 25*y - 22. Let k be a(4). Solve -2 = -3*x - k for x.
-4
Let r be 117/(-26)*20/6. Let u = r - -9. Let v = -1 - u. Solve v*l = l for l.
0
Suppose -v - 1 = 4*a, -4*a + 3 - 6 = 3*v. Solve a = 2*o - 0*o + 6 for o.
-3
Suppose 3*u + 4*m - 3 - 32 = 0, 2*u + m - 15 = 0. Solve -u*h + 90 = 75 for h.
3
Let q(z) = -z**2 + 33*z + 284. Let y be q(39). Solve 4*m - 34 = -y for m.
-4
Suppose -3*h = 5*y - 14, -7*y = -5*h - 2*y + 10. Solve h*z + 4 = z for z.
-2
Suppose 1 - 5 = -d. Suppose -5*m = 0, -d*m + 69 = -0*s + 3*s. Suppose 9 = -2*u + s. Solve -3*i = -u - 5 for i.
4
Suppose -4*g + 2*h + 2*h + 8 = 0, 0 = -5*h + 25. Suppose -10 = 5*f - g*f. Suppose 5*r + 25 = 0, -5*r = 5*s - 3*r + f. Solve q = 4 + s for q.
5
Suppose 5*v - 11 + 1 = 0. Suppose 12 - 32 = -4*d + r, -28 = -v*d - 4*r. Suppose 2*w - 13 = -1. Solve -3*b = -w*b + d for b.
2
Let l(z) = -z**2 + 4*z + 34. Let m be l(8). Let c = 4 + 2. Suppose -3*s + b - 3 = 2*b, c = 5*s - m*b. Solve s = 2*o - 4*o - 2 for o.
-1
Let z = 8 - 6. Let y = 10100 + -10091. Solve z*f + f = y for f.
3
Let t = 35 - 43. Let w(a) = a + 12. Let u be w(t). Solve 4*k - 3*k - u = 0 for k.
4
Let v(u) = u**2 - 6*u + 2*u - 4 + 7. Let b = 66 + -63. Let f be v(b). Solve f*i - 4*i = -16 for i.
4
Let l(g) = 60 - 2*g + 2*g + 5*g. Let v be l(-12). Suppose 4*u = -s + 9, s = -s + u + 9. Solve j + 4*j - s = v for j.
1
Let x = 1 - -14. Suppose -16 = 19*z - 16. Solve 0 = -z*s - 5*s + x for s.
3
Let j(i) = 6*i - 13 + 0*i - 9*i. Let s be j(-6). Solve -25 = -5*g - s for g.
4
Let l(q) = 2*q**2 - 5*q - 15. Let n be l(-2). Solve 4 = n*d - d for d.
2
Let d = -1063 + 1070. Solve -d*f + 29 = 1 for f.
4
Suppose 4*a = 42*v - 38*v + 52, -4*a - 2*v + 22 = 0. Solve -a = 3*n - n for n.
-4
Suppose 264 = -2*x + 5*x. Let v = x + -68. Solve -3*f + 8*f - v = 0 for f.
4
Suppose -3*b = 2*b - 25, -17 = t - 5*b. Solve 2*d = t*d - 18 for d.
3
Suppose 0 = -5*n + 66*n - 366. Solve 22*d - 20*d = n for d.
3
Let i(w) = -w + 5. Let t be i(-2). Solve 2*q = t*q - 3*q for q.
0
Let l be (-1)/3 - (-15)/(-9). Let w be (-4)/l + 4*1. Suppose -6*z - 7*z = -52. Solve d - w = -z for d.
2
Suppose 0 = -7*c + 2*c + 4*j - 210, -3*c - 2*j = 104. Let s = -36 - c. Solve 3*k = s*k for k.
0
Let u = 3 - -2. Suppose -3*k - u*p - 6 = 0, -4*k = 8*p - 4*p. Suppose -16 = -k*t - 4*c, 0*t = t + 3*c - 2. Solve 0*y + t = 2*y for y.
4
Let g = -124 + 128. Suppose 8 = 4*h, -6*h + 23 = 3*z - 2*h. Solve -g = -3*n + z for n.
3
Let b = 110 - 107. Solve b*k - 12 - 3 = 0 for k.
5
Let l(c) = -6*c + 99. Let s be l(14). Solve s + 5 = -5*g for g.
-4
Suppose -25 = -25*o + 20*o. Suppose 0 = n - 3*p + 7, 2*n + 8 = -p + o*p. Solve h = -n + 3 for h.
1
Let g = -339 + 342. Solve -10*r = -g*r for r.
0
Let l be (-5)/((-25)/4)*10/(-4). Let k be 10/60 + 1/12*l. Solve -h + 4*h = k for h.
0
Let t(m) = m**3 + 4*m**2 - 7*m - 5. Let r be t(-5). Let b be -1 + 1*(r - 0). Solve -b*u = 5 - 1 for u.
-1
Suppose 46 = -w + 53. Solve 3*i + 4*i - w = 0 for i.
1
Suppose 21*j - 69 = 36. Solve r - 1 = -j for r.
-4
Let n(d) = d**3 + 7*d**2 + 7*d - 1. Let o = -91 + 86. Let h be n(o). Solve -5*k = -4 + h for k.
-2
Let c(r) = r**2 + r + 7. Let a be c(0). Suppose -a*f + 9*f = 6. Solve -f*h = -8*h - 15 for h.
-3
Let g = -18 + 18. Suppose 5*m = -g - 10. Let p be (-27)/(-6)*m/(-3). Solve -1 = p*q + 2 for q.
-1
Suppose 0 = -2*i + 1501 - 1477. Solve -13*m + i*m = -4 for m.
4
Let u be (-52)/(-39) - (22/(-6))/1. Let o be 4 + (u + -1 - 0)*-1. Solve o = -m - 0*m - 3 for m.
-3
Let o(z) be the first derivative of z**4/4 + z**3/3 - z**2 - 5. Let f = -2 + 0. Let c be o(f). Solve -v = -c*v - 3 for v.
3
Suppose 18*z + 4*g + 28 = 20*z, 5*g = -5. Solve -6 = -z*m - 54 for m.
-4
Let a be (-78)/(-26) - (-2)/(2/(-5)). Let b be (-4)/1 + -6 + (-28)/a. Suppose -3*g + 2*i = 2*g - 35, 0 = -4*g - 4*i. Solve 0 = -g*k - b + 29 for k.
5
Let o be -2 - (-6 + 3/(-3)). Suppose -4*p - 2 = -3*z - 2*p, o*p = 3*z - 5. Suppose z = -5*u + n + 20, -u + 13 = 3*n - 7. Solve t = u*t for t.
0
Let j = 17 + -15. Suppose -5*q + j*q = 0. Suppose 8*r = 16 - q. Solve r*f = -f for f.
0
Let x = 706 + -706. Solve -215*u + 217*u - 2 = x for u.
1
Let q(w) = w - 4. Let z(s) = -s - 1. Let t(h) = -q(h) - 2*z(h). Let r be (98/(-245))/(2/30). Let y be t(r). Solve -3*a + 7*a - 12 = y for a.
3
Let j(v) = 6 - 5*v + 4 + 3 + v**2 - 10. Let c be j(5). Suppose -4*u - 3*m + 10 = -21, -m + 25 = 5*u. Solve u*g + c = g for g.
-1
Let w = -18 + 55. Let s = w + -25. Solve -5*b + s + 13 = 0 for b.
5
Suppose 0 = 12*v - 4*v + 5*v. Solve -3*h - 17 + 5 = v for h.
-4
Let t(h) = 2*h - 11. Suppose 9*v - 8 = 8*v. Let w be t(v). Solve -25 = -4*b - w for b.
5
Suppose -28*b - 12 = -32*b, 5*b - 25 = -5*p. Solve 5*d + 15 = p*d for d.
-5
Let t = 17 + -14. Suppose -j - 10 = -3*o, -t*o + 2*j + 0*j + 5 = 0. Suppose 0*z + 12 = -4*z + 3*c, 0 = -5*c + 20. Solve -5*k = -z*k - o for k.
1
Let p be 1*7/(7/4). Let j(u) = 2*u - 5. Let f be j(p). Suppose 3*w - f - 3 = 0. Solve 4*t - 6 = w for t.
2
Suppose 8*c - 22*c = -1666. Let r = -117 + c. Solve -r*g = -4*g for g.
0
Suppose -2*w = 2*w - 20. Suppose w*b = 8*b - 27. Let k(q) = q**2 - 9*q + 9. Let i be k(b). Solve 3*a = -0*a - i for a.
-3
Let v be 70/35*(10/4 - 1). Solve -v*b + 4 = -2*b for b.
4
Let n(x) be the third derivative of -x**5/60 - x**4/8 + 5*x**3/6 - 28*x**2. Let u be n(0). Solve 17 = 3*b + u for b.
4
Let n = -50 - -139. Suppose 4*z = -n + 125. Solve k = -z + 4 for k.
-5
Let b(r) = 14*r - 136. Let c be b(10). Solve -a = -3*a + c for a.
2
Let h = -9 - -8. Let x(w) = -23*w**3 + w**2 - w - 1. Let j be x(h). Let n = j - 8. Solve -4 = -4*g - n for g.
-3
Let n = -3 - -7. Suppose -3*m = 5*s - 15, 4*s - 8 = 5*m + n. Solve m = -k + 2*k - 3 for k.
3
Let g = 445 + -441. Solve -g*h + 48 = 12*h for h.
3
Suppose m = -3*n + 82, -5*n + 5*m - m = -148. Let p = -24 + n. Suppose -p*g = -4*d - 12, -g - g = 2*d - 2. Solve -g = b - 3 for b.
1
Suppose 0 = 5*k + 21 - 31. Suppose -4*a + 62 = -k*d, 0 = -3*a + 5*a - 3*d - 29. Solve -11*o - 15 = -a*o for o.
3
Let d = 115 + -114. Solve 0 = -x + d for x.
1
Suppose -m - 4*m + 3*i = -45, -25 = -5*m - i. Suppose -24 = 2*a - m*a. Suppose 0 = 3*x + a - 15. Solve -12 = -o - x*o for o.
3
Let m be (174/21 + -4)*-7. Let q be m/(-40) - (-17)/4. Suppose 3*j = -4*j + 70. Solve -3*c + j = -q*c for c.
-5
Let l(j) = -j**2 + 4*j + 1. Let f be l(4). Let y(b) = b**2 - 5*b + 5. Let c be y(5). Suppose 12*m - 6*m = 66. Solve -m = c*k - f for k.
-2
Let y(s) = 4*s + s**2 + 5*s**2 + s**3 - 10 - 5*s - s. Let k be y(-6). Solve 0 = k*b - 6*b - 8 for b.
-2
Suppose -98 = -15*a + 217. Solve a*u - 12 = 17*u for u.
3
Let n(s) = s**3 + s**2 - 8*s - 2. Let u = 36 + -39. Let j be n(u). Solve q = 3*q - j for q.
2
Let o = 1055 - 1055. Solve o - 14 = 7*i for i.
-2
Suppose -823*h + 824*h = 0. Solve 0 = 2*z - h + 4 for z.
-2
Suppose 0 = 3*o - 0*o - 54. Let s = o + -19. Let z = s - -11. Solve 0 = 5*h - 3*h - z for h.
5
Suppose -p = 8*p - 135. Suppose -57 = -6*f - p. Solve -9*b - 8 = -f*b for b.
-4
Let o be ((-4)/(-6))/((-4)/(-18)). Suppose 3*d - o = m + 7, 22 = m + 5*d. Solve -p = 7 - m for p.
-5
Suppose -79*o = -77*o - 264. Let u = -124 + o. Solve 2*q + u = -0 for q.
-4
Let y be (-1)/(332/56 - 6). Solve -2*v = -y + 10 for v.
2
Let m(c) = 2*c**2 + 32*c + 37. Let q be m(-15). Solve -q*r + 15 = 1 for r.
2
Let l = -76 - -79. Solve - | {
"pile_set_name": "DM Mathematics"
} |
3*h**4/4 - 5*h**3/4 - 3*h**2/4 + h.
h*(h - 1)**2*(h + 1)*(h + 4)/4
Factor 3*h**3 + 129*h**2 + 1449*h + 1323.
3*(h + 1)*(h + 21)**2
Let -28*r**4 + 640*r**3 - 4388*r**2 + 7760*r + 1200 = 0. What is r?
-1/7, 3, 10
Factor -d**2 + 959*d + 960.
-(d - 960)*(d + 1)
Find x, given that -4*x**4 + 272*x**3 - 4884*x**2 + 8712*x = 0.
0, 2, 33
Find r, given that r**5 - 37*r**4/3 + 14*r**3 + 26*r**2/3 - 15*r + 11/3 = 0.
-1, 1/3, 1, 11
Solve -3*x**4 + 216*x**3 + 441*x**2 + 222*x = 0 for x.
-1, 0, 74
Factor -d**2 + 353*d.
-d*(d - 353)
Factor u**3/4 + 131*u**2/4.
u**2*(u + 131)/4
Factor -2*b**2 + 88*b - 726.
-2*(b - 33)*(b - 11)
Solve 4*w**4/19 - 10*w**3/19 - 6*w**2/19 + 16*w/19 + 8/19 = 0.
-1, -1/2, 2
Determine r, given that -42*r**4 - 93*r**3 - 60*r**2 - 9*r = 0.
-1, -3/14, 0
Find v such that -25*v**5 - 2310*v**4 + 11005*v**3 - 14530*v**2 + 1980*v + 3880 = 0.
-97, -2/5, 1, 2
Factor -12*g**3/25 - 14*g**2/25 - 2*g/25.
-2*g*(g + 1)*(6*g + 1)/25
Let d**3/4 - d**2/2 = 0. What is d?
0, 2
Factor t**3/5 - 6*t**2/5 - 3*t + 20.
(t - 5)**2*(t + 4)/5
Solve -g**3/7 + 96*g**2/7 - 2304*g/7 = 0.
0, 48
Determine s, given that 2*s**4/9 + 2*s**3 = 0.
-9, 0
Factor 2*i**5 - 36*i**3 + 162*i.
2*i*(i - 3)**2*(i + 3)**2
Let r**2/2 + 8*r + 14 = 0. Calculate r.
-14, -2
Find z such that 3*z**5 + 3*z**4/2 - 18*z**3 - 21*z**2/2 + 24*z + 18 = 0.
-2, -1, 3/2, 2
Factor n**2/2 + 1194*n + 712818.
(n + 1194)**2/2
Find i, given that -i**2/7 - 2012*i/7 - 1012036/7 = 0.
-1006
Factor -7*i**4/8 + i**3 + 13*i**2/8 - i/4.
-i*(i - 2)*(i + 1)*(7*i - 1)/8
Determine a, given that 21*a**4/2 + 24*a**3 - 135*a**2/2 + 21*a + 12 = 0.
-4, -2/7, 1
Find l, given that -2*l**5/19 + 18*l**4/19 + 26*l**3/19 - 50*l**2/19 - 96*l/19 - 40/19 = 0.
-1, 2, 10
Factor a**2/8 - 1451*a/2 + 2105401/2.
(a - 2902)**2/8
Factor b**2 + 70*b + 69.
(b + 1)*(b + 69)
Suppose -2*u**4/3 + 38*u**3 + 356*u**2/3 + 80*u = 0. What is u?
-2, -1, 0, 60
Determine q so that -3*q**5 + 30*q**4 - 93*q**3 + 90*q**2 = 0.
0, 2, 3, 5
Factor 44*f**3 - 36*f**2 - 96*f - 16.
4*(f - 2)*(f + 1)*(11*f + 2)
Solve -s**4 - 30*s**3 - 224*s**2 + 30*s + 225 = 0 for s.
-15, -1, 1
Let -5*b**3 - 660*b**2 = 0. What is b?
-132, 0
Let -18*h**5/7 - 246*h**4/7 + 394*h**3/7 + 494*h**2/7 - 248*h/7 - 120/7 = 0. Calculate h.
-15, -1, -1/3, 2/3, 2
Factor -3*r**5 + 3*r**4 + 15*r**3 + 9*r**2.
-3*r**2*(r - 3)*(r + 1)**2
Factor -4*f**3/3 + 7924*f**2/3 - 3920396*f/3 - 3928324/3.
-4*(f - 991)**2*(f + 1)/3
Let -4*i**5 + 16*i**4 + 12*i**3 - 40*i**2 - 32*i = 0. What is i?
-1, 0, 2, 4
Determine b, given that -3*b**2 + 420*b - 14700 = 0.
70
Factor -4*t**2 - 232*t - 3364.
-4*(t + 29)**2
Determine r, given that -27*r**4 - 1638*r**3 - 2676*r**2 - 1242*r - 177 = 0.
-59, -1, -1/3
Factor -3*w**2/2 - 39*w/2 - 18.
-3*(w + 1)*(w + 12)/2
Factor 2*u**3/13 + 6*u**2 + 288*u/13 - 10368/13.
2*(u - 9)*(u + 24)**2/13
Determine r, given that -2*r**5 - 26*r**4 - 94*r**3 - 46*r**2 + 96*r + 72 = 0.
-6, -1, 1
Let -2*d**4/15 + 50*d**3/3 + 506*d**2/15 + 254*d/15 = 0. Calculate d.
-1, 0, 127
Let -t**2/5 + 85*t + 1716/5 = 0. What is t?
-4, 429
Factor 2*d**3 + 16*d**2 + 22*d - 40.
2*(d - 1)*(d + 4)*(d + 5)
Factor -3*y**3/4 + 63*y**2/4 - 90*y + 75.
-3*(y - 10)**2*(y - 1)/4
Solve 2*s**5/19 + 36*s**4/19 - 170*s**3/19 + 140*s**2/19 + 168*s/19 - 176/19 = 0.
-22, -1, 1, 2
Factor k**4/6 + 2*k**3/3 - k**2/2 - 7*k/3 - 4/3.
(k - 2)*(k + 1)**2*(k + 4)/6
Factor h**4/2 + 3*h**3/2 + h**2/2 - 3*h/2 - 1.
(h - 1)*(h + 1)**2*(h + 2)/2
What is y in -4*y**2/3 - 158*y/9 + 140/9 = 0?
-14, 5/6
Factor -k**2/2 + 28*k - 343/2.
-(k - 49)*(k - 7)/2
Solve 2*a**3 - 76*a**2 + 146*a - 72 = 0.
1, 36
Let -a**5 + 241*a**4 + 975*a**3 + 1223*a**2 + 490*a = 0. What is a?
-2, -1, 0, 245
Factor -48*i**4 - 948*i**3 - 693*i**2 - 687*i/4 - 57/4.
-3*(i + 19)*(4*i + 1)**3/4
Suppose -3*v**5 + 133*v**4 + 1503*v**3 + 3351*v**2 + 2740*v + 756 = 0. What is v?
-7, -1, -2/3, 54
Let 10*q**4/7 - 54*q**3/7 - 120*q**2 + 3944*q/7 - 1440/7 = 0. What is q?
-9, 2/5, 4, 10
What is x in -x**4/6 - 5*x**3/6 + 2*x**2/3 + 22*x/3 + 8 = 0?
-4, -2, 3
Find x such that 4*x**2 - 120*x + 900 = 0.
15
What is n in 4*n**2 + 5360*n + 10704 = 0?
-1338, -2
Let -d**2 + 8*d + 33 = 0. Calculate d.
-3, 11
Suppose -7*c**5 + 40*c**4 - 37*c**3 - 56*c**2 + 44*c + 16 = 0. What is c?
-1, -2/7, 1, 2, 4
Find y, given that y**5/6 + 13*y**4/6 + 21*y**3/2 + 139*y**2/6 + 68*y/3 + 8 = 0.
-4, -3, -1
Factor 2*p**2/5 + 6*p - 68/5.
2*(p - 2)*(p + 17)/5
Factor m**2 - 175*m.
m*(m - 175)
Factor -3*y**3 + 741*y**2 - 45384*y - 46128.
-3*(y - 124)**2*(y + 1)
Suppose -4*g**5 - 24*g**4 - 52*g**3 - 48*g**2 - 16*g = 0. What is g?
-2, -1, 0
Let 3*q**5/4 + 9*q**4/4 - 3*q**3/4 - 21*q**2/4 + 3 = 0. What is q?
-2, -1, 1
Factor 13*l**5 + 86*l**4 + 82*l**3 - 396*l**2 - 567*l + 270.
(l - 2)*(l + 3)**3*(13*l - 5)
What is f in -2*f**5/3 + 148*f**4/3 + 304*f**3/3 + 4*f**2/3 - 302*f/3 - 152/3 = 0?
-1, 1, 76
Find x such that -x**4/3 - 4*x**3/3 - 4*x**2/3 = 0.
-2, 0
Solve -q**2/9 + 2*q/3 - 5/9 = 0.
1, 5
Factor -h**4/3 - 7*h**3/3 + h**2 + 55*h/3 - 50/3.
-(h - 2)*(h - 1)*(h + 5)**2/3
Let p**2 - 109*p = 0. Calculate p.
0, 109
Find d such that -d**3/4 - 5*d**2/2 + d/4 + 5/2 = 0.
-10, -1, 1
Determine c, given that -10*c**5 - 396*c**4 + 1420*c**3 - 1784*c**2 + 942*c - 172 = 0.
-43, 2/5, 1
Suppose 3*x**5 - 105*x**4 + 1290*x**3 - 6270*x**2 + 9075*x - 3993 = 0. What is x?
1, 11
Factor -5*i**2 + 845*i - 840.
-5*(i - 168)*(i - 1)
Factor -c**3 + 237*c**2 - 18723*c + 493039.
-(c - 79)**3
Find r such that -2*r**4/3 - 2*r**3 + 8*r/3 = 0.
-2, 0, 1
Factor 4*v**3/3 + 124*v**2/3 - 416*v.
4*v*(v - 8)*(v + 39)/3
Let -2*r**3/3 - 82*r**2/3 - 436*r/3 - 560/3 = 0. Calculate r.
-35, -4, -2
Factor -5*v**4/2 + 7*v**3/2 - v**2.
-v**2*(v - 1)*(5*v - 2)/2
Determine l, given that -3*l**4/5 - 31*l**3/5 - 16*l**2 - 4*l/5 + 48/5 = 0.
-6, -4, -1, 2/3
Factor -w**2/7 - 8*w/7 + 33/7.
-(w - 3)*(w + 11)/7
Determine m so that 2*m**3/9 - m**2/9 - 25*m/9 - 4/3 = 0.
-3, -1/2, 4
Suppose 728*v**2 + 2913*v/4 + 1/4 = 0. What is v?
-1, -1/2912
Factor 2*m**4 + 76*m**3 + 90*m**2 - 13000*m + 25000.
2*(m - 10)*(m - 2)*(m + 25)**2
Factor -6*n**3/5 + 197*n**2/5 + 448*n/5 + 49.
-(n - 35)*(n + 1)*(6*n + 7)/5
Factor -k**2/2 - 68*k + 137/2.
-(k - 1)*(k + 137)/2
Suppose 2*r**3/5 + 22*r**2 + 1456*r/5 - 1568/5 = 0. What is r?
-28, 1
Factor -7*d**4 - 3*d**3.
-d**3*(7*d + 3)
Suppose 3*k**4 + 6*k**3 - 255*k**2 - 1050*k = 0. What is k?
-7, -5, 0, 10
Suppose 1372*z**5 + 30380*z**4 + 3472*z**3 - 18176*z**2 + 6656*z - 704 = 0. What is z?
-22, -1, 2/7
Factor -c**3/5 + 22*c**2 + 117*c/5 - 666/5.
-(c - 111)*(c - 2)*(c + 3)/5
Solve -2*q**5 + 18*q**4 - 14*q**3 - 18*q**2 + 16*q = 0.
-1, 0, 1, 8
Solve 3*x**5/4 - 21*x**4/2 + 57*x**3 - 150*x**2 + 192*x - 96 = 0 for x.
2, 4
Determine j so that -135*j**5 + 8181*j**4/2 + 2967*j**3 - 2331*j**2/2 + 93*j = 0.
-1, 0, 2/15, 1/6, 31
Determine x, given that 3*x**5 - 6*x**4 - 39*x**3 - 30*x**2 = 0.
-2, -1, 0, 5
Factor 2*z**2/7 + 110*z/7 + 156.
2*(z + 13)*(z + 42)/7
Factor -2*k**3/7 + 2*k**2 + 6*k - 54/7.
-2*(k - 9)*(k - 1)*(k + 3)/7
Suppose b**2/9 + 214*b/9 - 215/9 = 0. What is b?
-215, 1
Let 7*b**4/5 - 33*b**3/5 - 101*b**2/5 - 15*b - 14/5 = 0. Calculate b.
-1, -2/7, 7
Factor 3*r**3 + 729*r**2 + 59049*r + 1594323.
3*(r + 81)**3
Factor 3*s**2/7 - 75/7.
3*(s - 5)*(s + 5)/7
Factor -2*l**2 + 132*l + 1022.
-2*(l - 73)*(l + 7)
Factor -v**4/5 + 16*v**3/5 - 3*v**2.
-v**2*(v - 15)*(v - 1)/5
Suppose w**5/8 - w**4 + 2*w**3 - w**2/4 - 17*w/8 + 5/4 = 0. What is w?
-1, 1, 2, 5
Let 2*p**2 + 140*p + 138 = 0. What is p?
-69, -1
Determine x, given that -3*x**2 + 1554*x + 1557 = 0.
-1, 519
Factor u**3/7 + 8*u**2/7 + 15*u/7.
u*(u + 3)*(u + 5)/7
Factor a**3/2 - 29*a**2/2 + 14*a.
a*(a - 28)*(a - 1)/2
Find b, given that 4*b**2 - 100*b = 0.
0, 25
Find k, given that -3*k**4/5 + 3*k**3 + 9*k**2/5 - 27*k + 162/5 = 0.
-3, 2, 3
Factor 35*y**2 + 285*y + 280.
5*(y + 7)*(7*y + 8)
Factor -3*c**3 + 3*c**2 + 3*c - 3.
-3*(c - 1)**2*(c + 1)
Let 2*x**3/5 - 26*x**2/5 + 78*x/5 - 54/5 = 0. What is x?
1, 3, 9
Factor -5*x**4 - 760*x**3 - 28880*x**2.
-5*x**2*(x + 76)**2
Factor 4*d**4/3 + 3312*d**3 + 6180184*d**2/3 + 4110192*d + 6160324/3.
4*(d + 1)**2*(d + 1241)**2/3
Factor 5*f**5 - 40*f**4 + 100*f**3 - 80*f**2.
5*f**2*(f - 4)*(f - 2)**2
Factor f**5/4 + 53*f**4/4 + 455*f**3/4 + 1075*f**2/4.
f**2*(f + 5)**2*(f + 43)/ | {
"pile_set_name": "DM Mathematics"
} |
the remainder when c + 418/6 + 6/18 is divided by 8?
7
Let m(x) = 109*x + 264. What is the remainder when m(9) is divided by 40?
5
Let h(q) = -q**3 + 15*q**2 + 18*q - 3. Suppose -6*k + 72 = -24. Let r(c) = -c + 19. What is the remainder when h(k) is divided by r(9)?
9
Suppose i = 12*x - 7*x - 49, 5*x - 4*i - 61 = 0. What is the remainder when 638 is divided by x?
8
Suppose 320*m = -330*m + 661*m - 29898. Calculate the remainder when m is divided by 47.
39
Suppose -148 = 9*m - 46*m. Calculate the remainder when 54473/285 + m/(-30) is divided by 52.
35
Calculate the remainder when 1976 is divided by 332/14 + (-720)/1008.
21
Calculate the remainder when (2 + 659)/(2 + (1 - (8 + -6))) is divided by 98.
73
Suppose -19*d = -18*d - m + 49, 3*d + 131 = -m. Calculate the remainder when 68 is divided by (d/(-30))/((-3)/(-18)).
5
Suppose 0 = -5*b + g + 388, 0*g - 2*g = 5*b - 379. Let o be 1295/b + 6/33. What is the remainder when 77 is divided by 342/o - (-6)/(-51)?
17
Suppose -34*z = -24*z + 2610. Let q = -252 - z. Calculate the remainder when 98 is divided by q.
8
Let i = -241 + 205. What is the remainder when 38 is divided by (138/(-4))/(i/24)?
15
What is the remainder when -2*(-254)/(-4)*1538/(-1538) is divided by 8?
7
Suppose -2*b + b = -24. Let z = -458 - -451. What is the remainder when 95 - ((-165)/(-105) - 3/z) is divided by b?
21
Suppose 4*q - 84 = 5*y, -242*y + 246*y = -3*q + 63. What is the remainder when 3670 is divided by q?
16
Suppose 5*a - a + 1872 = 0. Let k = -253 - a. Calculate the remainder when k is divided by 27.
26
Suppose 74*d + 657 + 272 = 5073. What is the remainder when 891 is divided by d?
51
Let w(d) = -2*d - 6*d**3 + 22 + 4*d**3 - 31. Let h = 83 - 57. Calculate the remainder when w(-3) is divided by h.
25
Suppose 333*h = q + 328*h - 81, -3*q + 4*h = -210. Calculate the remainder when 92 is divided by q.
26
Let n(u) = 110*u + 7. What is the remainder when n(3) is divided by 234?
103
Let v(b) be the first derivative of 1/4*b**4 + 10*b - 9*b**2 - 12 - 8/3*b**3. Calculate the remainder when v(10) is divided by 8.
6
Let k = -45 + 53. Suppose 4*v = -2*x + 200, -2 + k = -3*x. Suppose 4*m = -15 + v. Calculate the remainder when 70 is divided by m.
7
Suppose -5*v + 250 + 1070 = 0. Let x = -6323 + 6342. What is the remainder when v is divided by x?
17
Let j(b) = 3*b + 8. Let k be j(6). Suppose 20 = -3*x + 5*c, 0*x - k = 2*x + 3*c. Calculate the remainder when 9 is divided by ((-3)/15 - 32/x) + -1.
1
Let d(c) = c**2 - 31*c + 11. Let s be d(18). Let v = s - -338. Calculate the remainder when v is divided by 29.
28
Let r(v) = 57*v**3 - 4*v**2 + 10*v + 1. What is the remainder when r(2) is divided by 25?
11
Let l be 0 + (3 - 1) - (-2 - -8). Let s(y) = -y**3 - 6*y**2 - 11*y - 3. Calculate the remainder when s(l) is divided by 8.
1
Let s(l) = -2*l**2 + 28*l + 843. Calculate the remainder when 722 is divided by s(28).
14
Calculate the remainder when 285 is divided by 18/(30/44 + (-6)/33).
33
Let p = 52165 - 52033. Calculate the remainder when p is divided by (-5)/(-1 + (-16)/(-18)).
42
Suppose 11*c = 7546 + 10398 + 9985. Calculate the remainder when c is divided by 843.
10
Suppose -16 = 4*f - 68. Suppose 2*p + z - 5 = 0, -3 = -0*z + z. What is the remainder when f is divided by p?
1
Let u(h) = 2*h**2 + 81*h - 587. Calculate the remainder when u(9) is divided by 36.
16
What is the remainder when 1529 + 2 + 432/(-18) is divided by 68?
11
Let o = 2 + 2. Suppose g - 143 = -3*q, -84 = -4*q + o*g + 80. What is the remainder when q is divided by (-5 + 115)/(-22) + (-1)/(-1)*17?
10
What is the remainder when 37616/40 - -9 - (51/15 - 3) is divided by 95?
94
Let s(d) = -2*d + 5*d + 2*d - 2 - 5. Suppose -5 = -4*k + 7, -5*k = -5*h + 240. What is the remainder when h is divided by s(5)?
15
Let u = 11196 + -10730. Calculate the remainder when u is divided by 93.
1
Let o = -401 + 440. Suppose -61 = -10*v + o. Calculate the remainder when 35 is divided by v.
5
What is the remainder when 43 is divided by 780/(-325)*(-2 + (-1 - 2))?
7
Suppose 0 = -3*t - 2*r + 4776, -3188 = -2*t - 66*r + 64*r. Calculate the remainder when t is divided by 55.
48
Suppose 298*i = 296*i + 7638. Calculate the remainder when i is divided by 26.
23
Suppose 2*q - 816 = 4*m, -4*q - 7*m = -12*m - 1623. Suppose 0 = -13*a + 300 + q. Calculate the remainder when a is divided by 11.
10
Let o be 6/(-54) + 100984/36. Suppose o = 23*b + 10*b. What is the remainder when 181 is divided by b?
11
Let o = -8117 - -9071. What is the remainder when o is divided by 249?
207
Let y = -22714 + 23899. Calculate the remainder when y is divided by 253.
173
Suppose 2*p + 92 = 3*p. Let k(a) = 2*a**2 - 12*a + 19. Let z = -97 - -103. Calculate the remainder when p is divided by k(z).
16
Suppose 10*a - 1288 - 892 = 0. Let g = a - 206. What is the remainder when 30 is divided by g?
6
Let y = 40 - 28. Suppose -2*i + 62 = -4*o, 3*o - i - 17 = 4*o. Let g(s) = s**2 + 11*s - 72. What is the remainder when y is divided by g(o)?
4
Let u(a) = 2*a**3 - 27*a**2 + 111*a - 13. What is the remainder when 826 is divided by u(8)?
142
Let h(u) = -u**2 - 8*u + 44. Let c = 347 + -356. What is the remainder when h(c) is divided by 4?
3
Let r(t) = t**2 + 6*t - 16. Calculate the remainder when r(-12) is divided by 21 + -5 + 8 + 8.
24
Let n(k) = -29*k + 9. Let g(q) = -19*q + 6. Let b(a) = -8*g(a) + 5*n(a). What is the remainder when 483 is divided by b(3)?
15
Let a(z) = -z**3 - 2*z**2 + z + 130. Let i be a(0). Suppose 3*x - 2*o = 113 + 66, i = 2*x + 4*o. What is the remainder when x is divided by 8?
5
Let o = 76 + -74. Suppose -3*p + p + 2 = o*k, -12 = 3*k. Suppose p*n = 244 + 96. What is the remainder when n is divided by 19?
11
Let n(a) = 2*a**2 - 22*a + 33. What is the remainder when n(13) is divided by (-2)/(-6)*6/15*360?
37
Let j be 56/(-9) - (-8)/36. Suppose 0 = -5*b - 5*k + 15, 0 = -4*b - b + 5*k - 15. Calculate the remainder when 23 is divided by (-3)/j*b + -1 + 19.
5
Let w(f) = f + 39. Suppose 14*m + 555 = -m. Let q = -55 - m. Calculate the remainder when 35 is divided by w(q).
14
Suppose -335*x + 2640697 = -23*x - 579767. What is the remainder when x is divided by 116?
114
Let r = 2005 - 1745. What is the remainder when r is divided by 69?
53
Suppose 4*y = -5*q - 5, -3*q = y + q + 4. Suppose y*r = -2*r. Suppose r = 3*l + 2*l - 20. What is the remainder when 17 is divided by l?
1
Let u(x) = 2*x**2 - 427*x + 5826. What is the remainder when u(14) is divided by 38?
12
Let q be (-12)/(-10)*160/(-24). Let j(u) = u**2 + 15*u + 38. Let h be j(-9). What is the remainder when 25 is divided by 2/q - 244/h?
10
Suppose 7*i - 11*i - 2*r = -4, -15 = 3*i - 3*r. Let w(k) = 38*k + 62. What is the remainder when w(i) is divided by 14?
10
Let f = 33772 - 30113. Calculate the remainder when f is divided by 78.
71
Let i = 14724 + -13995. What is the remainder when i is divided by 74?
63
Let j(t) = t**2 - 6*t - 1. Suppose -31*z + 30*z + 76 = 0. What is the remainder when z is divided by j(7)?
4
Let v = -90640 + 90644. Calculate the remainder when 0 + (15 - (-1 + 2)) is divided by v.
2
Suppose 0 = 3*m - 5*t - 32, 0 = 4*m - 0*t - t - 20. Suppose 0 = -1042*a + 1040*a + 584. Let k = 304 - a. Calculate the remainder when k is divided by m.
0
Let f(m) = 2*m - 5. Let x be (-4 + 2)/((-17)/238). What is the remainder when (x/42)/(4/54) - 1 is divided by f(4)?
2
Let t(h) = 6*h**2 + 51*h + 132. What is the remainder when t(-27) is divided by 10?
9
Suppose o + 7*t = 2*t + 319, -1276 = -4*o + 2*t. Let d = -298 + o. Calculate the remainder when 86 is divided by d.
2
Suppose 0 = -4*r + 4, 18 = 3*g + 2*r - 5. Calculate the remainder when 197/6 - (-3)/18 is divided by g.
5
Let c = 90 - 79. Suppose -c*l = -400 - 414. Let q = l - 63. What is the remainder when 31 is divided by q?
9
Suppose -5*z - 18 + 33 = 0, 50 = v - 4*z. What is the remainder when v is divided by (((-8)/3)/(-4))/((-16)/(-120))?
2
What is the remainder when 200 is divided by -9*1/(-24) - (-4 - (-1565)/(-8))?
0
Let q(o) be the third derivative of o**6/120 + o**5/60 - 2*o**4/3 - 11*o**3/6 + 99*o**2. What is the remainder when 292 is divided by q(5)?
56
Let t be (-2)/(-2) + (-6 - 10 - -20). Suppose -4*k = -4*u - 1608, 0*u + t*u - 1238 = -3*k. What is the remainder when k is divided by 10?
6
Sup | {
"pile_set_name": "DM Mathematics"
} |
rivative of 8*q**2 - 7/6*q**3 + 0 + 0*q + 1/12*q**4. Determine u(6).
5
Let d(w) be the third derivative of w**4/12 - 5*w**3/6 - 7*w**2. Let r be ((-1)/(-1))/(1/6). What is d(r)?
7
Let c(l) = l**2 - l - 2. Let v(t) = 3*t**2 + t - 6. Let o(z) = 4*c(z) - v(z). Determine o(-4).
34
Suppose -v + 16 = -h - 2*h, 0 = 3*h + 9. Let x(y) = 7 - v - 1. Let f(c) = -c**2 - 2*c + 2. Let l(j) = -f(j) - 2*x(j). Determine l(-4).
8
Let s be (-16)/24 - (0 + 20/(-3)). Let j(u) = u**2 - 6*u + 6. Determine j(s).
6
Let a(i) = -2*i + 2. Let t(d) = -13*d + 9. Let x(n) = 3*a(n) - t(n). Determine x(-8).
-59
Let x = 252 - 250. Let y(o) be the second derivative of -o**x + 1/12*o**4 + o + 0 + 0*o**3. Determine y(-3).
7
Let n = 100 - 98. Let p = 18 - 13. Let r(d) = -7*d**3 + d**2 + 5*d + 1. Let y(l) = 3*l**3 - l**2 - 2*l. Let t(w) = p*y(w) + 2*r(w). Give t(n).
-2
Let g be 24/4 + -3 - -33. Suppose -2*k - k + g = 0. Let z(i) = 1 - 5*i**2 - 5*i + k*i**2 - 6*i**2. What is z(3)?
-5
Let g(v) = v**2 - 7*v + 4. Suppose -2*l - 3 = -1. Let i be (-2 - -5) + 5 + l + 0. Calculate g(i).
4
Let u(t) be the second derivative of 1/20*t**5 + 0 + 2*t**2 + 1/6*t**3 + 2*t - 1/12*t**4. Give u(0).
4
Let r be (-1 - -3) + -17 - (-5 + 3). Let h(j) = 2*j**3 + 9*j**2 + 9*j + 2. Let w(s) = -s**3 - 4*s**2 - 4*s - 1. Let y(z) = r*w(z) - 6*h(z). Determine y(2).
-3
Suppose -q = -2*s - 33, 0*q + 54 = -4*s - 2*q. Let t = s - -18. Let v(r) = r**2 - 2*r. Determine v(t).
3
Let r(a) = 2*a + 1. Let k(q) = q**2 + q - 94. Let u be k(9). Give r(u).
-7
Let i(x) be the second derivative of -x**4/12 - 2*x**3/3 - 4*x**2 + 7*x + 8. Calculate i(-4).
-8
Let j(t) = -t**2 - 7*t - 7. Let b(r) = 3*r**2 + 18*r + 22. Let u(k) = -2*b(k) - 7*j(k). Calculate u(-10).
-25
Let k(r) = r**3 - 3*r**2 - 4*r + 3. Let j(w) = -3*w**3 + 9*w**2 + 11*w + 2. Let p be j(-1). Determine k(p).
-9
Let l(a) = -2*a + 8. Suppose -5*t + 6*t = r - 17, 5*r - 121 = -4*t. Let i be ((-10)/(-15))/(2/r). Give l(i).
-6
Let r = -61 + 43. Let s = r - -22. Let v(n) = n**3 + n**2 + 4*n + 9. Let t(o) = o**2 + o + 1. Let m(y) = -5*t(y) + v(y). Calculate m(s).
0
Let s(r) be the third derivative of -r**6/120 + r**5/60 + 7*r**3/3 + r**2. Suppose -57 + 37 = -5*l, -2*l = -3*y - 8. Calculate s(y).
14
Suppose 8*s = 5*s - 9. Let b(q) = 2*q**2 - 6*q - 2. Let j(r) = 5*r**2 - 13*r - 4. Let g(a) = s*j(a) + 7*b(a). Calculate g(-5).
-12
Let j(i) = -i**3 + 3*i**2 + 5*i - 2. Suppose 8 = -3*n + 2*z + 15, 16 = 4*n + 4*z. Determine j(n).
13
Let f(i) = -5*i + 36. Let a(g) = 2*g - 12. Let j(k) = -8*a(k) - 3*f(k). What is j(-5)?
-7
Let s(f) = -2 + 1 - 8*f**2 - 2 + 249*f - 252*f. Give s(-2).
-29
Let g be (-2)/(3*(-2)/(-24)). Let u = -2 - g. Let m be (-46)/(-6) + (-4)/u. Let c(b) = -b**2 + 7*b + 3. Give c(m).
3
Let p(n) = n**2 - n - 5. Let r be (3/(-1) - -3)/(-1). Suppose r = 4*l - z - 1, -4*l + 3 + 2 = -5*z. Determine p(l).
-5
Let u(g) = g**3 - 5*g**2 - 7*g - 7. Suppose 58 + 86 = 24*x. Calculate u(x).
-13
Let c(z) be the third derivative of z**6/720 - z**5/60 + 7*z**4/24 - 3*z**2. Let v(x) be the second derivative of c(x). Give v(3).
1
Let m(w) = w + 12. Let v be m(-10). Let q(d) = -74*d**v + 2 - 5*d - 74*d**2 + 147*d**2. Determine q(-4).
6
Let q = 89 + -90. Let d(o) = 7*o**3 - o**2 + o + 1. What is d(q)?
-8
Let a(d) = 4*d. Suppose -6*w + 44 = -10. Suppose w*b = -17 - 1. Calculate a(b).
-8
Suppose -3*o - 15 = -3*r, -4*r + 0*o + o = -14. Let z(j) be the third derivative of -j**5/60 + j**4/12 + j**3/6 - 2*j**2 + 8*j. Give z(r).
-2
Let n(q) be the first derivative of -q**4/2 - 31*q**3/3 + 15*q**2/2 - 23*q - 715. Give n(-16).
-7
Let q(f) = -f - 26. Let n be ((-165)/35 - -5) + 2/(-7). Give q(n).
-26
Suppose 2*o + 2*u = -4 - 10, 2*o + 5*u = -17. Let z(s) = s - 2. Let f(p) = 0*p + 2*p - p - 1. Let n(d) = -3*f(d) + 2*z(d). Give n(o).
5
Let v = -938 - -923. Let j(u) = -2*u**2 - 31*u - 17. Give j(v).
-2
Suppose -7 + 1 = -2*g. Let z(c) = 0*c - g*c + 2*c + 2. Suppose 0 = -4*r - 12, -l - 13 = l + 3*r. Calculate z(l).
4
Let s(p) = 2*p**2 - 15*p + 26. Let h be s(6). Let g(a) = -3*a. Determine g(h).
-24
Let k(r) = -26*r - 13. Let t(n) = -n - 3. Let m(x) = -k(x) + 6*t(x). Let u be (1 - -1*1)*-4. Let c(d) = 13*d - 3. Let l(s) = u*c(s) + 5*m(s). Give l(1).
-5
Let p(j) be the first derivative of 5*j**3/3 - j**2/2 + 2*j - 74. Determine p(1).
6
Let z(n) = -5*n - 1. Let x be 400/35 + 3 + (-17)/7. Suppose x = 12*d - 16*d. Calculate z(d).
14
Let w(n) = n**2 + 6*n - 6. Let k be 1/(-3) + ((-385)/(-15))/11. Suppose 4*u + f + 26 = 0, -7*u = -k*u - 2*f + 39. Give w(u).
1
Suppose -u = 2*m + 2*u - 14, -9 = -m - 2*u. Let q(p) = -3*p**2 + 7*p**2 + 0*p - p**3 + 2*p - m. Let f = 2 + 2. Give q(f).
7
Let l(z) be the third derivative of -z**5/120 + 13*z**3/6 + 4*z**2. Let n(h) be the first derivative of l(h). Determine n(-3).
3
Let z be (3/(-2))/(2/(-12)). Let y = -6 + z. Suppose 0 = y*u - 5*u + 6. Let g(n) = 2*n**2 - 2*n - 3. What is g(u)?
9
Let l(a) = 29*a**2 + 113*a - 17. Let t be l(-4). Let m(v) = 3*v**2 + 8*v - 22. What is m(t)?
13
Let u(h) = h**2 - 5*h + 6. Let p(i) = i**3 + 6*i**2 - 4*i - 20. Let f be p(-6). Give u(f).
2
Let l(b) be the second derivative of b**3/6 - 56*b. Give l(8).
8
Let o(k) = k - 1. Let l(z) = z**2 + 12*z - 3. Let w(d) = -3*d**2 - 35*d + 8. Let a(t) = -17*l(t) - 6*w(t). Let n be a(-6). Give o(n).
2
Let n(h) = 3*h. Let u(o) = -7*o + 1. Let v(z) = 6*n(z) + 5*u(z). Give v(2).
-29
Let s(q) = 2*q**2 + 7*q + 17. Let x be s(-7). Suppose 14 = -10*t - x. Let k(l) = l + 10. What is k(t)?
2
Let c(u) be the third derivative of -u**5/60 + u**4/2 + 3*u**3/2 + 455*u**2 + 2. Calculate c(15).
-36
Let y(n) = 0 - 2 + 1. Let h(d) = 2*d**2 - d - 4. Suppose g = 2 - 4. Let t(b) = g*y(b) + h(b). What is t(2)?
4
Let r(m) be the third derivative of m**6/120 - m**4/4 - m**3/3 + 3*m**2 - 15. What is r(-4)?
-42
Suppose 0 = -k + 8 - 3. Let i(z) = -3 + 1 - z - 3 + 2*z. Give i(k).
0
Let c(i) = 3*i + 7. Let y be (-1)/(-2)*-10*1. Let t be ((-8)/y)/((30/25)/(-6)). Determine c(t).
-17
Let v(m) = -2*m**2 + 3*m + 39. Let h(c) = 3*c**2 - 3*c - 59. Let o(a) = 5*h(a) + 8*v(a). Give o(10).
7
Let f(d) = d**2 - 12*d - 3. Let h(v) = v + 1. Let y(n) = -f(n) - 6*h(n). Give y(5).
2
Suppose 29*r + 72 - 101 = 0. Let q(m) be the second derivative of m**3/6 + m**2/2 + 2*m. Give q(r).
2
Let p(z) = -2*z**2 - z - 1. Let k be p(-1). Let w(o) = 2*o - 1. Give w(k).
-5
Suppose -m + 22 = 5*u, 5*m - 60 = -5*u - 10. Let v(n) = n**3 - 7*n**2 - 4*n + 5. What is v(m)?
-23
Let a(l) = l**2 - 7*l - 7. Let s = -267 + 272. Determine a(s).
-17
Let y(i) be the second derivative of 1/6*i**3 - 7/2*i**2 + 0 - 10*i. What is y(-6)?
-13
Let h = -10 + 4. Let x(k) = 95*k - 7 - 96*k - 4 + 0. What is x(h)?
-5
Let t(z) be the first derivative of z**2/2 - 3*z - 24. Calculate t(6).
3
Suppose 0 = -4*s - 39 - 13. Let d = -8 - s. Let c(w) = w - 4. Give c(d).
1
Suppose z = 3*z - 18. Let r(g) = 4 + 3*g - 5*g**2 + 11*g**2 + 0*g**2 - z*g**2. What is r(3)?
-14
Let h(n) = -n - 3. Let j be h(-6). Let x(s) = -1 - 3*s**2 + 2 - s**j + 13*s - 15*s. Give x(-2).
1
Let t(s) = 2*s + s**2 - 1 - 3*s + 0. Let v = 3157 + -3154. Calculate t(v).
5
Let r = 493 - 483. Let x(d) = d**2 - 13*d + 10. Calculate x(r).
-20
Suppose 296 = 3*r - 586. Let g be r/77 + (-2)/(-11). Let c(y) = 5*y + y + g*y**2 - y**3 + 0*y**3 - 2. What is c(5)?
3
Suppose -5 - 10 = -5*d. Suppose -3*h - d*q + 12 = 0, 3*h - 6*h + 12 = -4*q. Let r(j) = j. Calculate r(h).
4
Suppose 2*j = -4*y - 6, 3*j - 8 = -5*y - 17. Let l(k) = 3*k**2 + k + 6. Calculate l(j).
30
Let x(y) = 7*y**3 + 2*y**2 + 5*y - 6*y**3 - 14*y**3 - 9*y**3 - 4*y. What is x(-1)?
23
Let c(r) = -r**3 + 6*r**2 - r - 1. Let h be -5 - -9 - 5*1. Let u be 3/(-3) + (-2 - (h - 8)). Calculate c(u).
-7
Let z(i) = i**2 - 8*i - 7. Suppose -27*m + 46*m = 171. Calculate z(m).
2
Let k(r) be the first derivative of r**3/3 + 6*r - 169. Suppose 0 = 3*d - 8*d + 50. Suppose -4*v + d = -5*f, 4*v + 3*f = -f - 8. Calculate k(v).
6
Let m = 64 - 61. Let l(o) = 0 + o**3 - 2 + 0*o**m + 20*o**2 - 18*o**2. Calculate l(-3).
-11
Let n(k) = 2*k + 4. Let s be (0/(-2))/((-10 - -9)*-1). Calculate n(s).
4
Let g(u) = -u**2 - 2*u - 12. Let b(w) = -2*w**3 - 10*w**2 - 2*w - 10. Let m be b(-5). Determine g(m).
-12
Let x(j) = j**2 + j - 5. Let y be (-3)/((-6)/(-40))*48/15. Let i = y + 64. Calculate x(i).
-5
Let g(v) = -4*v | {
"pile_set_name": "DM Mathematics"
} |
1)**2*(l + 2)**2/5
Let r(s) = 3*s**4 + 60*s**3 + 72*s**2 + 51*s + 6. Let q(b) = -2*b**4 - 30*b**3 - 36*b**2 - 25*b - 3. Let v(y) = 15*q(y) + 7*r(y). Solve v(o) = 0 for o.
-1, -1/3
Let s = -130 - -135. Suppose 4*g - 3*j + 5 = 2*j, 0 = -s*g + 5*j - 5. Solve g - 1/2*r**4 + 0*r - 1/6*r**3 + 1/3*r**2 = 0.
-1, 0, 2/3
Let m(z) = 31*z**2 + 590*z + 24. Let o be m(-19). Determine d so that 0 + 7/4*d**o - 4*d**4 - 3/4*d**3 - d + 4*d**2 = 0.
-1, 0, 2/7, 1, 2
Let v(j) be the first derivative of -j**3/5 + 9*j**2 - 168*j/5 - 579. Factor v(n).
-3*(n - 28)*(n - 2)/5
Let v(i) be the third derivative of -i**5/45 + 5*i**4/9 + 34*i**2. Determine a, given that v(a) = 0.
0, 10
Factor -188/15*t + 2/15*t**2 + 4418/15.
2*(t - 47)**2/15
Find l such that 0 - 32/3*l**3 + 578/3*l + 1/3*l**4 + 221/3*l**2 = 0.
-2, 0, 17
Determine d so that -2*d**4 + 4261*d - 12*d**2 + 8 - 4265*d + d**4 + 5*d**4 + 4*d**3 = 0.
-2, -1, 1
Let c(g) = -5*g**3 - 20*g**2 + 10*g + 10. Let j(d) = d**4 + d**2 - d. Let i(x) = -c(x) - 5*j(x). Find u, given that i(u) = 0.
-1, 1, 2
Let n(o) be the first derivative of -o**6/72 - o**5/24 + 13*o**3/3 + 8. Let t(z) be the third derivative of n(z). Solve t(m) = 0.
-1, 0
Suppose 0 = -4*x + 5*r + 6, -2*x - 2*r + 12 = 0. Let u be (-1)/4 + (-12)/(-16). Find n, given that -1/2*n**x + 0 - 3/4*n**3 + 3/4*n**2 + u*n = 0.
-2, -1/2, 0, 1
Let p(m) = -3*m**4 + 7*m**3 - 13*m**2 - 23*m - 24. Let k(u) = -4*u**4 + 8*u**3 - 14*u**2 - 23*u - 27. Let b(f) = -4*k(f) + 5*p(f). Factor b(g).
(g - 3)*(g + 1)**2*(g + 4)
Let t(k) be the first derivative of -5*k**3/3 - 3*k**2/2 + 4. Let m = -29 + 25. Let h(w) = -w**2 - w. Let j(n) = m*h(n) + t(n). Solve j(f) = 0 for f.
0, 1
Let i be 4/(-12) - (-4)/3. Let q = -2 + 8. Find l, given that -5*l**4 + i - 6*l**2 + 16*l**2 - q = 0.
-1, 1
Let c(k) be the second derivative of 2/75*k**6 + 16/15*k**3 - 48*k + 6/25*k**5 + 0*k**2 + 4/5*k**4 + 0. Factor c(o).
4*o*(o + 2)**3/5
Let j be 70/20*(-162)/(-14). Let o = j + -40. Factor -5/2*k**4 + 0 - 4*k**3 - 2*k**2 - o*k**5 + 0*k.
-k**2*(k + 1)*(k + 2)**2/2
Suppose -96/11*h**2 - 96/11 + 24/11*h**3 - 2/11*h**4 + 160/11*h = 0. What is h?
2, 6
Let w = 9454 - 9451. Let -2*y + 0 + 3/2*y**4 + 6*y**2 - 11/2*y**w = 0. Calculate y.
0, 2/3, 1, 2
Let g(r) be the third derivative of -r**8/84 + 11*r**7/168 + r**6/24 + 5*r**3/6 - 15*r**2. Let s(y) be the first derivative of g(y). Let s(z) = 0. Calculate z.
-1/4, 0, 3
Let f be (-2 + (-24)/(-2))*6/15. Let 4*j**2 + f + 26*j - 14*j**2 + 0 - 20*j = 0. Calculate j.
-2/5, 1
Let j = 1127 - 1125. Suppose 3/7*i**4 + 3/7*i**3 + 0*i - 3/7*i**5 - 3/7*i**j + 0 = 0. What is i?
-1, 0, 1
Let i = -77 + 2. Let r = -47 - i. Let 3*j**2 - 30*j - j**2 + r*j = 0. What is j?
0, 1
Factor -3*m**3 - 138*m - 54*m + 177 - 152*m + 72*m**2 + 92*m + 63.
-3*(m - 20)*(m - 2)**2
Factor 0 + 0*d**2 + 4/7*d**5 + 16/7*d**4 + 16/7*d**3 + 0*d.
4*d**3*(d + 2)**2/7
Let t(d) = -3*d**3 - 5*d**2 + 29*d + 29. Let z(o) = 6*o**3 + 11*o**2 - 59*o - 59. Let j(b) = -5*t(b) - 2*z(b). Let j(x) = 0. Calculate x.
-3, -1, 3
Let f be 1 + 3 + 96/(-28). Let v(r) = r**3 + 4*r**2 + r - 4. Let b be v(-3). Let -2/7*c**b + 2/7*c + f = 0. Calculate c.
-1, 2
Let s(g) be the third derivative of g**5/12 - 125*g**4/12 + 3125*g**3/6 + 3*g**2 + 6*g. Factor s(w).
5*(w - 25)**2
Let g be 24/8 - (-1)/(-1). Let w = 7 - g. Find d, given that 3*d**4 + d - w*d**4 - 3*d**2 + 5*d**4 + 3*d**3 - 4*d**4 = 0.
0, 1
Let z(c) be the second derivative of c**5/210 + c**4/21 + c**3/7 + 4*c**2 - 8*c. Let m(q) be the first derivative of z(q). Solve m(o) = 0.
-3, -1
Let k(z) be the second derivative of -1/15*z**6 + 0 - 1/5*z**5 + 23*z + 2/3*z**3 + 1/6*z**4 + 0*z**2. Factor k(r).
-2*r*(r - 1)*(r + 1)*(r + 2)
Let s(a) be the first derivative of a**6/14 - 24*a**5/7 + 171*a**4/4 + 40*a**3/7 - 600*a**2/7 + 639. Suppose s(h) = 0. Calculate h.
-1, 0, 1, 20
Let i(t) be the first derivative of -2*t**3/9 + 13*t**2/6 - 2*t - 6. Solve i(g) = 0 for g.
1/2, 6
Let z be 2/(-10) + (-6 - (-217)/35). Factor 1/6*n**3 + z + 1/6*n**2 + 0*n.
n**2*(n + 1)/6
Let s(z) be the first derivative of -z**5/30 + z**2/2 - z + 6. Let n(h) be the first derivative of s(h). Let v(r) be the first derivative of n(r). Factor v(b).
-2*b**2
Let l = 47/43 - -1741/6708. Let j = 17/12 + l. Determine s so that -44/13*s**3 - 2/13 - 6/13*s**5 - j*s**2 - 2*s**4 - 14/13*s = 0.
-1, -1/3
Factor 15*w**3 - 284*w**4 + 176*w**4 - 3*w**2 - 2*w**2 + 153*w**4 + 25*w**5.
5*w**2*(w + 1)**2*(5*w - 1)
Let o(x) be the second derivative of -5*x**8/1344 + x**6/32 + x**5/24 + 15*x**2/2 + 3*x + 2. Let k(i) be the first derivative of o(i). Solve k(u) = 0.
-1, 0, 2
Let i be -2 + 5/135 + 2. Let o(x) be the second derivative of 0*x**2 + 1/90*x**5 + 0 + 1/54*x**4 - 1/135*x**6 + 3*x - i*x**3. Factor o(t).
-2*t*(t - 1)**2*(t + 1)/9
Let t(d) be the third derivative of 1/110*d**5 + 0*d**6 + 0*d - d**2 + 1/22*d**3 - 1/2310*d**7 + 0 - 1/33*d**4. Solve t(b) = 0.
-3, 1
Let k = -34 - -40. Let t(c) = -c + k*c - 9*c - 12 + 5*c**2. Let p(n) = -3*n**2 + 3*n + 8. Let v(o) = 8*p(o) + 5*t(o). Solve v(g) = 0.
-2
Let x(m) be the first derivative of 3/8*m**4 + 5/3*m**3 - 1/20*m**5 - 1/120*m**6 + 5 + 0*m + 0*m**2. Let p(d) be the third derivative of x(d). Factor p(c).
-3*(c - 1)*(c + 3)
Let v(a) be the first derivative of -a**5/45 - a**4/36 + a**3/9 + 5*a**2/18 + 2*a/9 + 49. Factor v(t).
-(t - 2)*(t + 1)**3/9
Let h(p) be the first derivative of -p**4/2 + 4*p**3/3 + 50. Solve h(i) = 0.
0, 2
Let h(s) be the third derivative of -3*s**2 + 0 + 1/10*s**6 + 2/35*s**7 + 0*s + 0*s**4 + 0*s**3 + 1/84*s**8 + 1/15*s**5. Factor h(c).
4*c**2*(c + 1)**3
Suppose 5*f - 9*f = -16. Let c be (f + -6)*(20/(-6) + 3). Find h such that c*h**4 + 2*h**2 + 0 - 2/3*h - 2*h**3 = 0.
0, 1
Let n(s) be the third derivative of 1/3*s**3 - 1/18*s**4 + 0 + 0*s + 1/270*s**5 + 11*s**2. Let n(c) = 0. What is c?
3
Solve -8/7*t**3 - 74/7 + 32*t + 290/7*t**2 = 0.
-1, 1/4, 37
Suppose -3*o = 3*c - 5*c + 7, 3*o = 5*c - 13. Let w = 1 - o. Factor 6*r**2 - 5*r**2 - w + 1.
(r - 1)*(r + 1)
Let n = 27 - 25. Factor -2*j**n + 2*j - 2*j + 60*j**4 - 58*j**4.
2*j**2*(j - 1)*(j + 1)
Find t, given that -128/3 - 2/3*t**3 - 136/3*t - 40/3*t**2 = 0.
-16, -2
Factor 225*y - 45*y**2 + 7*y**3 - 8*y**3 - 375 + 3*y**3 + y**3.
3*(y - 5)**3
Suppose 108 = -65*s + 64*s. Let l be (7/((-294)/s))/((-8)/(-14)). What is q in 1 - l*q - 7*q**3 + 8*q**2 - 1/2*q**5 + 3*q**4 = 0?
1, 2
Let w(m) = 2*m**2 + 2*m - 2. Let b be w(-2). Let o = -2/541 + 1108/7033. Factor -32/13 - o*k**b + 16/13*k.
-2*(k - 4)**2/13
Find n, given that 4*n**2 - 2*n**2 - 79*n**4 - 1 - 69*n**4 + 147*n**4 = 0.
-1, 1
Let v be 3*(4/12 + 0). Let c be v*2/(-4)*-24. Factor -2*p**2 - c + 12 - 2*p.
-2*p*(p + 1)
Suppose -4*b + 13 = 5. Factor -5 + 23*x**2 + b - 20*x**2.
3*(x - 1)*(x + 1)
Let v(r) = 2*r + r**2 - r**3 - 3*r - 1 - 2*r**2. Let y(q) = q**4 + 5*q**3 + 4*q**2 + 4*q + 4. Let x = 4 - 3. Let p(a) = x*y(a) + 4*v(a). Factor p(u).
u**3*(u + 1)
Let a(i) = -12*i**3 + 315*i**2 - 3024*i + 4719. Let m(q) = -3*q**3 + 78*q**2 - 756*q + 1180. Let c(k) = 4*a(k) - 15*m(k). Solve c(t) = 0 for t.
2, 14
Let u be (2/(-13) - ((-15972)/143)/11)/6. Determine a so that 4/3*a - u*a**2 + 1/3 = 0.
-1/5, 1
Let c(l) be the first derivative of 1/21*l**3 - 5/7*l**2 + 22 + 9/7*l. Factor c(g).
(g - 9)*(g - 1)/7
Factor -10/3*c**2 - 1/6*c**4 + 0 - 2*c - 3/2*c**3.
-c*(c + 1)*(c + 2)*(c + 6)/6
Let c(a) be the first derivative of a**5 - 15*a**4/4 + 5*a**3/3 + 15*a**2/2 - 10*a - 77. Factor c(j).
5*(j - 2)*(j - 1)**2*(j + 1)
Let i(h) be the third derivative of -h**9/756 + h**8/420 + h**7/105 - 11*h**3/6 - 9*h**2. Let b(t) be the first derivative of i(t). Factor b(j).
-4*j**3*(j - 2)*(j + 1)
Let p(y) be the second derivative of 3*y**5/80 + 9*y**4/4 + 81*y**3/2 - 9*y - 1. Let p(i) = 0. What is i?
-18, 0
Let a = 21 - 19. Let l be a/3*6 - -14. Find w, given that -10*w**2 + 2*w**3 - w + 4*w + l + 3*w + 0*w**3 = 0.
-1, 3
Suppose 0 = 5*l - 3*q - 13 - 26, 5*l - 2*q = 36. Let x be (4 + -3)/(2/l). Find v such that -4*v - v**2 + 3*v**3 + 1 - 2*v**x + 3*v = 0.
-1, 1
Let v(k) be the third derivative of k**6/420 + 37*k**5/210 - 11*k**4/12 + 13*k**3/7 - 4*k**2 - 28. Determine u, given that v(u) = 0.
-39, 1
Let y(b) be the second derivative of -2*b**7/189 - 22*b**6/135 - 2*b**5/9 + 106*b**4/27 - 266*b**3/27 + 98*b**2 | {
"pile_set_name": "DM Mathematics"
} |
3 - 7/((-98)/152236)?
7, 1553
Suppose 6*o - 3*a = o + 24, 2*a - 3 = -3*o. Let q(h) = 9*h**3 - 2*h**2 - 6*h - 3. What are the prime factors of q(o)?
2, 3, 17
Suppose 82*j - 1468 = 80*j. Let c = j - 421. List the prime factors of c.
313
Let g(w) = -2406*w**3 + 5*w - 17. Let b(p) = -802*p**3 + 2*p - 6. Let x(s) = -11*b(s) + 4*g(s). List the prime factors of x(-1).
2, 401
Suppose -3*z - 3*z + 42 = 0. Let t = z + 11. Let g = 25 - t. What are the prime factors of g?
7
Suppose 2*s = 11 - 21, r - 161 = s. What are the prime factors of r?
2, 3, 13
Let z(s) = s**2 - 2*s + 27. Suppose 3*l - l - 35 = -c, -c = 3. List the prime factors of z(l).
2, 5, 7
Let f(a) = -4*a**2 + 26*a - 187. Let s be f(9). Let r = s + 526. List the prime factors of r.
3, 83
Suppose 30 = -5*c, -10770 - 7267 = -f + 5*c. List the prime factors of f.
11, 1637
Let n(b) be the second derivative of -b**5/20 - 5*b**4/12 + b**3 + 17*b**2/2 + 7*b - 11. List the prime factors of n(-10).
457
Let u(t) = -5*t**3 - 18*t**2 - 15*t - 52. Let p be u(-10). Let h = 4770 - p. List the prime factors of h.
2, 23
Let u be (-1)/2 - (-1015)/2. Let p = -367 + u. List the prime factors of p.
2, 5, 7
Let y(f) = 9*f**2 + f. Suppose 0 = x + 5*x - 6. Let h be y(x). Suppose 0 = -h*i + 8*i + 212. What are the prime factors of i?
2, 53
Let f(t) = 21*t + 263. Let q be f(6). Let y = q + 832. What are the prime factors of y?
3, 11, 37
Let s(w) = -156*w. Let m be s(1). Let y(h) = 4*h**3 - 8*h**2 - 14*h + 33. Let v be y(5). Let q = v + m. List the prime factors of q.
107
Suppose 0 = 3*x - 2*n - 1304, -5*n = -2*n - 6. Suppose -440*f = -x*f - 232. What are the prime factors of f?
2, 29
Suppose 5*y + 265 + 389 = -2*q, -3*y = 2*q + 394. Let n = 434 + y. What are the prime factors of n?
2, 19
Let n be ((-55)/(-10))/((-14)/2352). Let d = -561 - n. What are the prime factors of d?
3, 11
Let b(f) = 14493*f**3 - 2*f**2 + 38*f - 35. What are the prime factors of b(1)?
2, 7247
Suppose -a = -f + 64318, -f - 3*f + 12*a + 257312 = 0. List the prime factors of f.
73, 881
Suppose 0*h - 2*s = -5*h + 23, -h + 2*s = -3. Suppose -h*l + 1602 = -1268. What are the prime factors of l?
2, 7, 41
Suppose 2*f = a + 29563 + 27618, -57161 = -2*f - 3*a. What are the prime factors of f?
2, 7, 1021
Let t(h) = -2*h**2 - 14*h - 8. Let r be t(-6). List the prime factors of (-6)/(-72)*r*921.
307
Let c be 42*(4/(-8))/((-3)/(-15)). Let k = c - -111. Suppose -k*r + 1008 - 48 = 0. What are the prime factors of r?
2, 5
Suppose 45 = 3*t - 3*u + 24, 3*u = -3*t + 3. List the prime factors of (-3 - (-10)/t)*(-356 - 0).
2, 89
Suppose 0 = -7*v + 4*v + 2409. Suppose -187 = 4*z - v. What are the prime factors of z?
2, 7, 11
Suppose 0 = g + 5, 0 = q + 37*g - 19*g - 31618. What are the prime factors of q?
2, 7927
Suppose -3*u = -k - 26, 5*u + k - 62 = -2*k. Let l be 12/(-5) + 2 - 196/u. Let j = 43 - l. What are the prime factors of j?
3, 7
Let f = -39 - -16566. List the prime factors of f.
3, 7, 787
Let n(f) = 0 + 8 + 5 - 9 - 6*f. What are the prime factors of n(0)?
2
Let c(r) = -6*r + 8. Let l = -49 - -56. Suppose -5*n - l = 18, y + 5*n = -44. List the prime factors of c(y).
2, 61
Let s(w) = 30*w - 27. Let v(c) = 30*c - 25. Let x(d) = 4*s(d) - 3*v(d). What are the prime factors of x(14)?
3, 43
Let d(r) = -r**3 - r**2 + 2*r - 11. Let u be d(-4). Suppose f + 105 = 3*i + u, 4*i - 208 = 3*f. Let v = -16 - f. List the prime factors of v.
2, 3
Suppose -f - 3*d = -1864, f - 2*d = 70 + 1804. Suppose -23*t + f = -18*t. List the prime factors of t.
2, 11, 17
Let c(j) be the second derivative of j - 21*j**2 - 2/3*j**3 + 0. What are the prime factors of c(-19)?
2, 17
Suppose -88*p = 189*p - 8949039. List the prime factors of p.
3, 11, 89
Suppose -6*u + 8*u + 13 = 3*o, -3*o - 2*u = -29. What are the prime factors of (99/6)/((o/4)/7)?
2, 3, 11
Suppose 3544*t + 27890 = 3554*t. What are the prime factors of t?
2789
Let w(o) = o**2 - 5*o - 13. Let g(s) = s + 7. Let m be g(0). Let k be w(m). What are the prime factors of (-2235)/(-60) - (k - (-7)/(-4))?
2, 19
Let o(w) = -24*w + 36*w + 26*w + 9 + 17*w. List the prime factors of o(3).
2, 3, 29
Let t = -127 + 131. Suppose 3*c = -6 + 21, 5*h + t*c - 2140 = 0. What are the prime factors of h?
2, 53
Let t be 8 - (0 - (-8)/(-4)). Let h(d) = -2*d**2 + 0*d + d**3 - t + d + 8*d**2. What are the prime factors of h(-5)?
2, 5
Let l = -11884 - -16662. What are the prime factors of l?
2, 2389
Suppose 63*u + 42222 = -133422. Let i = -1845 - u. What are the prime factors of i?
23, 41
Suppose -293 - 246 = -49*q. Suppose -7*g + 4*v = -q*g + 4860, -g - 4*v + 1224 = 0. What are the prime factors of g?
2, 3, 101
Let a = 62499 - 44146. What are the prime factors of a?
18353
Let j(f) = -f**3 - 5*f**2 + 2*f - 33. Let l be j(-10). Suppose 0 = -3*z - 0*z - 711. Let o = z + l. What are the prime factors of o?
2, 3, 5, 7
List the prime factors of (-2)/((34/281367)/(-1)).
3, 613
Let f be -3 - (-1 - -3) - -5. Suppose f = z + 1, 0 = -4*a - z + 4*z + 2683. List the prime factors of a.
2, 5, 67
Let q(t) = -t. Let j(u) = 4*u**3 + 12*u**2 - u. Let y(a) = -j(a) + 2*q(a). Let o = 712 + -717. What are the prime factors of y(o)?
5, 41
Let r(x) = -2447*x + 1000. What are the prime factors of r(-13)?
3, 10937
Suppose 5*y = z - 20585, y = 110*z - 111*z + 20603. List the prime factors of z.
2, 5, 103
Let m(x) = 4*x + 0 + 7 - x**2 + 16. Let r be m(7). Suppose -r*a - 3*j + 51 = 2, -57 = -3*a + j. What are the prime factors of a?
2, 5
Let u(v) = 66*v**3 + 17*v**2 - 14*v + 24. Let q(i) = -44*i**3 - 12*i**2 + 9*i - 16. Let n(c) = 7*q(c) + 5*u(c). What are the prime factors of n(4)?
2, 3, 13
Let s(g) = -g**3 + 9*g**2 + 8*g + 20. Let v be s(10). Suppose v = -5*u + 3*k + 845, 3*u + 12*k - 16*k = 496. What are the prime factors of u?
2, 43
Let x = -487 - 74. Let o = x - -1032. List the prime factors of o.
3, 157
Suppose -3*t + 79263 = 4*u, -5*u - 5*t + 44105 = -54970. What are the prime factors of u?
2, 3, 367
Let x be (-340)/8*16/20. Let a = 242 + x. List the prime factors of a.
2, 13
Suppose -5*u + 8*u - 3*o = -9, -3*o + 8 = -2*u. Let g(s) = -207*s**3 + 2*s**2 + s + 2. What are the prime factors of g(u)?
2, 3, 5, 7
Let w(l) be the second derivative of l**5/4 + l**4/3 - 7*l**3/2 - 5*l**2 + 8*l + 1. What are the prime factors of w(7)?
2, 877
Suppose -24*l - 135855 = 42*l - 1795293. What are the prime factors of l?
3, 17, 29
List the prime factors of (-3)/((3378148/(-16320))/(-23) + -9).
2, 3, 5, 17
Let i(p) = 59*p**2 + 185*p + 9. What are the prime factors of i(-6)?
3, 11, 31
Let x(l) = -8*l + 10. Suppose 0 = -18*h + 22*h + 92. What are the prime factors of x(h)?
2, 97
Let h be 7/(-56)*-4*38. Suppose 0 = 24*k - h*k - 2630. List the prime factors of k.
2, 263
Let s(d) = -d**2 + 8*d - 2. Let p be s(7). Suppose 144 + 188 = x - 5*v, 3*x - p*v - 976 = 0. List the prime factors of x.
2, 7, 23
Let c = -25 - -6. Let a be 4/14 - (-804)/28. Let j = c + a. List the prime factors of j.
2, 5
Suppose 82*o - 78*o = -5*s + 19, -2*o - 8 = 0. What are the prime factors of 9207/s + ((-60)/35)/6?
5, 263
Let o(s) = 7*s + 36. Let m = 35 + -13. Let z be o(m). Suppose 2*i = -2*g + z, -2*g + 93 = i + g. List the prime factors of i.
2, 3
Let s = 21 + -16. Suppose -g = 3*l + l, s*l = g. Let j = 30 + g. List the prime factors of j.
2, 3, 5
Suppose -24494 = 18*j - 69674. Suppose j + 658 = 12*d. List the prime factors of d.
2, 3, 11
Suppose 0 = 9*p - p - 32. Suppose 14*v - 11*v - 825 = -m, -p*v - 839 = -m. What are the prime factors of m?
3, 277
Suppose 179498 = 44*s + 17799 - 10341. What are the prime factors of s?
2, 5, 17, 23
Suppose -6*h = 52 - 424. Suppose 176 = 5*a - 3*v, 2*a - v - 3*v = h. What are the prime factors of a?
37
List the prime factors of ((-503)/(-3))/(((-34)/(-1428))/((-48)/(-14))).
2, 3, 503
Let h = 16 - 12. Suppose h*b - 770 = 778. List the prime factors of b.
3, 43
Let v(o) = 6*o**2 + 190*o + 1403. What are the prime factors of v(-22)?
127
Let j(h) = -h - 3. Let c be j(1). Let d = 1 - c. Suppose 0 = -4*i + 2*i - d*b + 215, b = 5*i - 497. What are the prime factors of i?
2, 5
What are the prime factors of 19818/4 + (-2)/4 + -6?
2, 1237
Suppose 102*l + 82*l - 904427 = 512557. List the prime factors of l.
3, 17, 151
Let n(c) = -1597*c - 139. List the prime factors of n(-3).
2, 1163
Suppose 2 | {
"pile_set_name": "DM Mathematics"
} |
30
Calculate the highest common factor of 5577 and 330.
33
Calculate the highest common divisor of 1020 and 816.
204
Calculate the greatest common divisor of 32 and 39328.
32
What is the greatest common factor of 1628 and 220?
44
Calculate the greatest common divisor of 30 and 70.
10
What is the greatest common divisor of 11 and 719?
1
What is the greatest common factor of 2296 and 168?
56
What is the highest common divisor of 8368 and 48?
16
What is the highest common factor of 140 and 98?
14
What is the greatest common factor of 63 and 303?
3
What is the greatest common divisor of 232 and 4118?
58
What is the greatest common factor of 30400 and 19?
19
Calculate the greatest common factor of 6 and 726.
6
Calculate the highest common factor of 256 and 68.
4
Calculate the highest common factor of 3712 and 192.
64
Calculate the greatest common factor of 2 and 1730.
2
Calculate the greatest common divisor of 7 and 3.
1
What is the greatest common factor of 378 and 5103?
189
Calculate the highest common divisor of 1521 and 9.
9
Calculate the highest common divisor of 49 and 49.
49
What is the greatest common factor of 28 and 12?
4
Calculate the highest common divisor of 28 and 98.
14
Calculate the highest common factor of 459 and 85.
17
Calculate the highest common factor of 448 and 1288.
56
What is the highest common divisor of 105 and 336?
21
Calculate the highest common divisor of 159 and 63.
3
Calculate the highest common factor of 184 and 984.
8
What is the highest common factor of 4125 and 33?
33
Calculate the highest common factor of 2 and 16.
2
Calculate the highest common factor of 658 and 846.
94
What is the greatest common factor of 39 and 429?
39
Calculate the highest common factor of 729 and 45.
9
Calculate the highest common factor of 570 and 30.
30
Calculate the highest common factor of 11 and 20.
1
What is the greatest common divisor of 28 and 238?
14
What is the greatest common factor of 42 and 7910?
14
What is the greatest common factor of 33 and 528?
33
What is the greatest common divisor of 14 and 86?
2
What is the greatest common factor of 45 and 27?
9
What is the greatest common factor of 112 and 392?
56
Calculate the greatest common divisor of 2400 and 350.
50
What is the highest common divisor of 90 and 50?
10
What is the highest common factor of 544 and 17?
17
What is the highest common factor of 22 and 9427?
11
What is the highest common divisor of 348 and 12?
12
What is the highest common factor of 5339 and 19?
19
Calculate the greatest common factor of 7898 and 22.
22
What is the greatest common divisor of 703 and 4588?
37
What is the greatest common divisor of 1 and 113?
1
What is the highest common factor of 13952 and 384?
128
Calculate the highest common factor of 378 and 423.
9
Calculate the highest common factor of 1932 and 184.
92
Calculate the greatest common factor of 109 and 1199.
109
Calculate the greatest common factor of 150 and 20.
10
Calculate the highest common factor of 3060 and 72.
36
What is the highest common divisor of 128 and 544?
32
What is the greatest common divisor of 429 and 132?
33
Calculate the highest common divisor of 665 and 95.
95
Calculate the greatest common divisor of 44 and 748.
44
What is the highest common factor of 4 and 2?
2
Calculate the greatest common factor of 1168 and 438.
146
What is the highest common divisor of 35 and 45?
5
What is the highest common divisor of 1768 and 78?
26
What is the greatest common divisor of 230 and 40?
10
Calculate the greatest common factor of 1644 and 48.
12
What is the greatest common factor of 7 and 19068?
7
What is the greatest common factor of 72 and 252?
36
What is the greatest common factor of 1089 and 153?
9
Calculate the greatest common factor of 165 and 264.
33
What is the highest common divisor of 6 and 57?
3
What is the highest common divisor of 306 and 36?
18
Calculate the greatest common divisor of 78 and 12714.
78
Calculate the highest common divisor of 400 and 10300.
100
Calculate the greatest common factor of 261 and 54.
9
Calculate the greatest common divisor of 658 and 14.
14
What is the highest common divisor of 903 and 21?
21
What is the greatest common factor of 56 and 8?
8
Calculate the greatest common divisor of 2884 and 84.
28
What is the highest common divisor of 222 and 6?
6
What is the highest common divisor of 9275 and 159?
53
What is the greatest common divisor of 72 and 90?
18
What is the greatest common factor of 68 and 1054?
34
What is the greatest common factor of 480 and 30?
30
Calculate the greatest common divisor of 824 and 2266.
206
What is the highest common divisor of 54 and 6?
6
Calculate the highest common factor of 125 and 50.
25
Calculate the greatest common divisor of 18 and 342.
18
What is the highest common factor of 48 and 372?
12
Calculate the highest common divisor of 26 and 1703.
13
Calculate the greatest common divisor of 58101 and 181.
181
Calculate the greatest common factor of 12 and 1326.
6
What is the greatest common factor of 19346 and 68?
34
What is the greatest common divisor of 297 and 11?
11
Calculate the greatest common divisor of 205 and 40.
5
Calculate the highest common factor of 492 and 20.
4
What is the highest common factor of 95 and 15485?
95
Calculate the greatest common divisor of 68 and 476.
68
What is the highest common factor of 48 and 552?
24
What is the greatest common divisor of 36 and 873?
9
What is the greatest common divisor of 16 and 152?
8
Calculate the highest common factor of 47 and 1269.
47
Calculate the greatest common factor of 1 and 8123.
1
What is the greatest common divisor of 742 and 14?
14
Calculate the highest common divisor of 7455 and 105.
105
What is the greatest common divisor of 14 and 162?
2
Calculate the highest common divisor of 280 and 5530.
70
Calculate the highest common divisor of 60 and 128.
4
What is the greatest common divisor of 3384 and 252?
36
Calculate the greatest common divisor of 780 and 54210.
390
Calculate the highest common factor of 148 and 15133.
37
What is the highest common divisor of 1848 and 5236?
308
What is the highest common divisor of 407 and 1287?
11
Calculate the highest common divisor of 625 and 2.
1
What is the highest common divisor of 28640 and 80?
80
Calculate the greatest common factor of 159 and 848.
53
What is the greatest common factor of 5728 and 32?
32
Calculate the highest common divisor of 11 and 187.
11
Calculate the greatest common factor of 2895 and 30.
15
What is the highest common factor of 2132 and 52?
52
What is the highest common divisor of 264 and 168?
24
Calculate the greatest common factor of 39 and 2509.
13
Calculate the greatest common divisor of 58 and 2987.
29
What is the greatest common factor of 48 and 948?
12
Calculate the highest common factor of 45 and 1152.
9
Calculate the highest common divisor of 228 and 1539.
57
Calculate the highest common divisor of 840 and 40.
40
What is the highest common factor of 21 and 3?
3
What is the greatest common divisor of 98 and 3822?
98
What is the highest common divisor of 580 and 1885?
145
Calculate the greatest common factor of 49 and 46844.
49
What is the highest common divisor of 785 and 15857?
157
What is the greatest common divisor of 64 and 23248?
16
Calculate the highest common factor of 154 and 1166.
22
What is the greatest common divisor of 16 and 8?
8
Calculate the highest common divisor of 1711 and 116.
29
What is the greatest common divisor of 7520 and 10?
10
Calculate the greatest common factor of 26 and 299.
13
Calculate the greatest common divisor of 671 and 99.
11
Calculate the greatest common factor of 1974 and 42.
42
What is the highest common divisor of 3165 and 15?
15
Calculate the greatest common divisor of 343 and 98.
49
Calculate the highest common divisor of 1864 and 4.
4
What is the highest common divisor of 549 and 99?
9
Calculate the highest common factor of 112 and 259.
7
Calculate the greatest common divisor of 182 and 26.
26
What is the highest common divisor of 42 and 112?
14
What is the greatest common divisor of 800 and 704?
32
What is the highest common factor of 4845 and 68?
17
What is the greatest common factor of 354 and 13983?
177
What is the greatest common factor of 135 and 3105?
135
Calculate the greates | {
"pile_set_name": "DM Mathematics"
} |
002 + g. What is the nearest to 0.1 in n, -0.5, p?
-0.5
Let f be (-4)/(-12) + (-45712)/(-8988) - 5. Let v = f - -1/107. What is the nearest to 1/6 in -4, v, -0.4, 1?
v
Let j = -19.6 + -0.4. Let z = -143 + 162.5. Let d = z + j. Which is the nearest to -1/4? (a) -0.2 (b) -3 (c) d
a
Let y be 1 - -26*(-2)/64. Let c be ((-111)/333)/((14/6)/7). What is the closest to y in 6/11, c, 1/9?
1/9
Let n be (0 - -2)*20/(-40). Let g be 12/16*n/3. Which is the nearest to 4? (a) 1 (b) 1/10 (c) g
a
Let v be -5*((108/6)/6 - 63/15). Let f be 2 + (-12)/4 + 4. What is the closest to 1 in f, v, 1?
1
Let p = 109.67 - 103. Let w = 6.7 - p. Which is the closest to 0.06? (a) 0.3 (b) -1/5 (c) w
c
Let l be 1/(-1) - -2 - (2 + -3). Suppose 5*t = 6*t + l. Let s be t/((-8)/12) - 17/5. Which is the closest to 0.1? (a) s (b) 5 (c) 0.4
c
Let k be ((-8)/180)/((-11)/(-55)). Let t = -65 + 194/3. What is the closest to 0 in t, k, 0.4?
k
Let i be (-102)/85 - (-22)/10. Let x be (((-20)/5)/(-24))/((-20)/30). Which is the closest to 0? (a) -5 (b) x (c) i (d) 4
b
Let m(s) = s**2 + 15*s - 4. Let r be m(-15). Let q = -76.53 - -68.53. Which is the closest to q? (a) r (b) -0.1 (c) 4/5 (d) -1
a
Let j = 12.46 - 0.46. Let v = 35/737 + 9/67. Which is the nearest to v? (a) j (b) 4 (c) -1/2
c
Let g = -162677.3 + 162681.3. Let i = -2.29 - -0.09. Let x = -2 - i. What is the closest to g in 2/15, x, -3?
x
Let w be 1/(10/(-3 + -7)). Which is the closest to w? (a) 1/11 (b) -0.7 (c) -3/4 (d) 0.3
c
Let f be (-40 + (-21899)/(-549))/(((-1)/(-3))/(-1)). Let b = 3.93 - -0.07. What is the nearest to -1 in b, -8, f?
f
Let m = 9562 - 2514807/263. What is the nearest to 0.1 in 1/4, -0.4, -5, m?
m
Let m = -810 - -501. Let r = -304 - m. What is the closest to -1 in -0.5, -2/13, r?
-0.5
Let g = -35.8 - -33.8. Let y = -3 + g. Which is the closest to -1/4? (a) y (b) -0.4 (c) 1/5
b
Suppose -3*t + 0*x = 2*x - 3, 4*x = 5*t - 5. Let h = -13/597 + -1129/2985. Let l = -1 - -2. What is the closest to l in t, h, 4?
t
Let k(l) = l**2 + 6*l - 20. Let d be k(-8). Let q be (-1)/(-7)*9 + (-5 - d). Let v = -0.3 + -0.7. Which is the nearest to q? (a) v (b) 2 (c) 3/7
c
Let q = -13 - -13.1. Let z = -24/53 - -302/901. What is the nearest to -43 in z, -2, q?
-2
Let f = 6159/4 + -30807/20. Let u = 3 - 4. Let g = u + 1. What is the nearest to g in 2, 0.5, f?
0.5
Let a = -1.91 + 2.2. Let r = -2.3 - -2.11. Let y = r + a. What is the nearest to y in -2/7, -5, 0?
0
Let r = -68 - -38. Let n be 2 + (-14)/r*-3. Suppose 0 = 4*i + 2*h + 2*h - 12, 3*i - 9 = -h. What is the closest to -0.1 in i, n, 1/2?
1/2
Suppose -398*s - 3036 = -467*s. Which is the nearest to 0? (a) 1/11 (b) 6 (c) -0.1 (d) s
a
Let v = 17.05 - 15. Let j = v - 0.05. Let s be 8/(-36) + (-128)/72. What is the closest to s in 0.3, j, -0.5?
-0.5
Let r(m) = 558*m + 7255. Let c be r(-13). Let s = -2 - -4. What is the nearest to s in -0.3, -1, c?
c
Let p = -5932/3 + 23737/12. Let z = 1/115 - -227/345. Which is the nearest to z? (a) p (b) 3 (c) -1
a
Let g be 2/8 - 26/40. Let j = -98.39 - -91.4. Let z = 0.99 + j. Which is the nearest to z? (a) -2/9 (b) g (c) 0.5
b
Let z = 8367.93 + -8368. Which is the closest to -2/33? (a) -5 (b) z (c) -3 (d) -1
b
Let z = 0.04372 - -221.05628. Let a = -221 + z. Let h be 22/(-42) - 3/21. What is the closest to a in 3, -1, h?
h
Let n = 181 - 165. Let l = -15 + n. What is the nearest to 1/5 in l, 0.1, -1?
0.1
Let g(l) = 6*l**2 - 126*l - 126. Let r be g(22). What is the nearest to 0.1 in -4, r, 0, 69?
0
Let z be 1/2*(-204)/(-3). Let x = 55989 - 55993. What is the closest to x in 0.2, z, -1/6?
-1/6
Let x = 101/5 + -103/5. Let k = -120449 - -120448. What is the nearest to 0.2 in k, x, -2/7?
-2/7
Let w be -1 - 2/(-6) - 0. Let p be 34*-1 + (-72)/(-18). Let m be ((-258)/p - 3/5)/(-2). Which is the closest to w? (a) m (b) -0.4 (c) -0.2
b
Suppose 4*w + 5*o = o - 4, -5*o = w + 17. Let b be ((-12)/8 + 4/8 + 5)/(66 - 100). What is the nearest to 0 in -1/4, b, w, -2/39?
-2/39
Let j = 122379 + -122379.5. Let w = 5.9 + -0.9. What is the closest to 1 in w, -1, j?
j
Let t be 28/28 - (-56)/(-35). What is the closest to t in 2/3, 0.3, 0.6, -2/7?
-2/7
Let p(n) = -2*n - 17. Let u be p(-6). Let f = -32 + 31. Let t = 19 - 19.02. What is the nearest to f in t, -0.5, u?
-0.5
Let o = -3634 - -3631.5. What is the closest to -3/7 in o, -0.5, -2, -3/4?
-0.5
Let r = -17041 - -17040. Which is the closest to 20? (a) r (b) -3 (c) 18/5
c
Let s = 5.787 + -4.887. Which is the closest to 1? (a) -5 (b) 15 (c) s
c
Let o = 66 - 64.98. Let x = o - 0.02. Let r = 335 - 338. What is the nearest to 0.2 in x, 5, r?
x
Let m = -31.7 - 144.3. Let q = -174 - m. Which is the nearest to -1? (a) -7/6 (b) q (c) -1
c
Let q = 26780.3 + -26781. What is the nearest to q in 4, 3/10, -2/17, 71?
-2/17
Let l = 2.8 - -0.2. Let n = 128549 + -128553. Which is the closest to 0.1? (a) n (b) -3 (c) l (d) -0.05
d
Let p = -42.9 - -43. Let w be 1/3 + -3 + (-175)/(-15). What is the nearest to p in 1, 0.3, w?
0.3
Let n = -0.1071 + 0.0071. Let w(o) = -9*o**3 + 2*o**2 - 1. Let i be w(-1). Let s be (2/(-5))/(7/i). Which is the closest to n? (a) s (b) 0.2 (c) 1
b
Let p = 0.2 + -0.2. Let m(n) be the first derivative of -15*n**2 + 150*n + 255. Let l be m(5). Which is the closest to l? (a) 0.08 (b) p (c) -1
b
Let q = -280/37 - -803/111. What is the closest to -0.3 in -4, q, -3/4, 0.5?
q
Let u = -421 - -542. Let x = u - 125. Which is the closest to 0? (a) 0.2 (b) x (c) -10 (d) 1/7
d
Let b(a) = -7*a**2 + a**3 + 7 - 50*a + 1 - 10*a + 51*a. Let u be b(8). Let j = -318 + 2222/7. What is the closest to -6 in j, 3, u?
j
Suppose 4*p = 7*p. Let f = 122.92 - 120.92. What is the nearest to 2/3 in -2, p, 1, f?
1
Let l = 2 - 1.7. Let r = 91973 - 91975. Which is the closest to 2? (a) r (b) 4 (c) l
c
Let r = -224.1 + 224. Suppose -12*w + 9*w + 3 = 0. What is the nearest to w in r, -36, -1/3?
r
Suppose -5*n = -10*n + 5*o + 75, o + 47 = 3*n. Let z be (27/48)/(12/n). Let w = -0.2 - -0.1. What is the nearest to w in -1, -0.3, z?
-0.3
Let z = 19880 + -19866. What is the nearest to 36 in z, -1, -0.2?
z
Suppose -g + 4*q + 30 = 0, 0 = -4*g - 3*q + 12 - 44. What is the nearest to 1 in -98, g, 21?
g
Let r be (-11 - 82/(-8))*1/(-3). Let b = 3.8 - 22.8. Let u = -19.1 - b. What is the closest to -2/5 in u, 2, r?
u
Suppose l - 60 = -2*l. Let n be (-2*(-30)/l)/(-1 + 0). Let f = -0.8 - -0.9. What is the nearest to f in -0.2, n, 1?
-0.2
Let k = 6587.7 - 6587. What is the nearest to 1 in k, -3, -13?
k
Let w = 128.6 + -127.6. What is the nearest to w in 0.18, 0.3, -5, 4?
0.3
Suppose -12*z = -9*z - 126. Let c be 39/(-36) + -8*(-7)/z. What is the closest to c in 2/5, 3/4, -0.1?
2/5
Let m = 195740785/1022 - 383055/2. Let t = m - -2/73. Which is the nearest to 12? (a) -0.5 (b) 0.3 (c) t
b
Let a = -0.03 + -1.97. Let n = 452 + -450. Let v = -0.2178 + 0.4178. What is the nearest to a in 0.4, v, n?
v
Let v = 50.9 - -60.1. Let m = v - 111.1. What is the closest to 1/2 in -0.7, -2, 4, m?
m
Let p = -20969.1 + 20969.3. Let z be 4/(-6) - -1 - 1. Which is the closest to z? (a) 3/4 (b) p (c) -0.2 (d) 1/4
c
Let w = -10 + 14. Let p = -20117 - -20115. Suppose -3*z - z = -8. What is the nearest to z in w, 13, p?
w
Let z = 384.39 + -386. Let k = 1.51 + z. Let s = -0.1 + 0.2. Which is the closest to s? (a) k (b) -0.06 (c) -1
b
Let h = -1.89 + -0.11. Suppose -24*j + 3 = 16*j - 39*j. Let u = 0 + 2. Which is the closest to -2/5? (a) j (b) h (c) u
b
Suppose -20*g + 108 = 428. What is the nearest to g in 1/6, -5/2, -14?
-14
Suppose 0 = v - a + 3 - 4, 4*v + 3*a - 18 = 0. Suppose -b + k = -8, 2*k + 10 = 5*b + v*k. What is the nearest to -0.1 in -2, 4, b, -0.4?
-0.4
Let x = -80.3 + 83.3. Which is the closest to -20? (a) 15 (b) -2/9 (c) 0.5 (d) x
b
Let d = 0.5882 - -0.4118. What is the closest to d in 8/3, 1/2, 0, 0.3?
1/2
Let p = 12758 + -12785. Which is the nearest to 3? (a) -1 (b) p (c) 0.13
c
Let a be 14/49 - ((-4)/(-7) + 0). What is the closest to 27 in -2/5, a, 1/2?
1/2
Let a be (-4)/48*9 - 11093/(-60). Let m = a - 184. What is the closest to 3/4 in 2, 3/7, m?
3/7
Let j = 154/545 + -2476/4905. Let o(w) = w + 4. Let r be o(-3). What is the closest to -1 in 0.3, -1/7, r, j?
j
Suppose 1578*l - 1552 | {
"pile_set_name": "DM Mathematics"
} |
00004
Let v = 11.000101 + -11. What is v rounded to four dps?
0.0001
Let n = -142.1115 + 659856.1115. Let i = n + -659717.19963. Let p = -3.2 - i. What is p rounded to four dps?
-0.0004
Let z = 94.44977 + -94.5. Let l = 0.05 + z. Round l to 4 decimal places.
-0.0002
Let y = 10.259 - 0.059. Let t = -6.2 + 0.1. Let c = t + y. Round c to the nearest integer.
4
Let g = -0.689 + 0.76. Let u = -971181.9289969 - -971182. Let z = g - u. What is z rounded to 6 decimal places?
-0.000003
Let p = 87 + -47. Let v = 103 - p. Let j = 63.00000131 - v. What is j rounded to seven decimal places?
0.0000013
Suppose 5639975 = 3*s - 0*s - 5*q, s - 3*q = 1879985. Round s to the nearest 100000.
1900000
Let m = -15 + 19. What is m rounded to the nearest integer?
4
Suppose 0 = 3*u - 0*u. Suppose -f = 2*t - 14793676, -4*f = 3*t - u*f - 22190514. Let w = -4196838 + t. What is w rounded to the nearest one million?
3000000
Let k be -15 + -32290 - 10/(-2). Round k to the nearest 1000.
-32000
Suppose -87 - 21 = -4*o. Round o to the nearest 10.
30
Let f = -18.2 - -18. Let z = 1003 - 1003.1934. Let k = f - z. Round k to 3 decimal places.
-0.007
Let f = 0.048 - 3.038. Round f to zero decimal places.
-3
Let c(v) = 31*v**2 - 19*v - 30. Let y be c(9). What is y rounded to the nearest one hundred?
2300
Suppose 3*x - 6390787 + 990799 = 0. Suppose -i + x = 5*n, 720020 = n + n - 5*i. Round n to the nearest 100000.
400000
Let k = -23.856 + 24. Let d = 32.31 + -32.1719. Let j = k - d. What is j rounded to three decimal places?
0.006
Let d = -5.12 + 0.12. Let b = 1 + d. Let r = b - -13.1. Round r to zero dps.
9
Let v = 0.0299 + 45.5701. Let d = 42.1 - 1.1. Let i = d - v. Round i to the nearest integer.
-5
Let v = -1.00006 + 1. Round v to 5 decimal places.
-0.00006
Let w = -6380.712 + 6380.61999961. Let s = -0.046 + 0.138. Let a = s + w. What is a rounded to seven decimal places?
-0.0000004
Let o = 5504879093657 - 5504877766840.2999995. Let r = -1326817 + o. Let x = 0.3 + r. What is x rounded to 6 decimal places?
0.000001
Let j = 0.07 + -0.027. Let a = 0.154 - j. Let n = 0.11099949 - a. What is n rounded to seven dps?
-0.0000005
Let p = 0.843 + -45.143. What is p rounded to the nearest ten?
-40
Let l(g) = g**2 - 10*g + 3. Let q be l(10). Suppose 2 = -2*k, 5*k + 27599998 = q*j + 7*k. What is j rounded to the nearest one million?
9000000
Let j = -5.19922 + 5.2. What is j rounded to 4 decimal places?
0.0008
Let i = 2111.98787 - -0.01213. Let v = -2117.685 + i. Let c = -0.015 + v. What is c rounded to the nearest integer?
-6
Let l = -6.32 + 6.4. Round l to the nearest integer.
0
Let m(y) = y**2 + y - 1. Let q be m(0). Let j be (-4 + 621*q)*5152. What is j rounded to the nearest one hundred thousand?
-3200000
Let r = 169 - 87. Let m = -81.9926 + r. Round m to three decimal places.
0.007
Let c = -15.7146 - -15.7. What is c rounded to three dps?
-0.015
Let o = -27 - -26.99992. Round o to four dps.
-0.0001
Let w = 5.2 + 0.5. Let r = w + -14.3. Let n = r - -1. Round n to the nearest integer.
-8
Let w(p) = -24500*p**2 - p + 2. Suppose k + o - 3 = 0, -o = 2*k - 0*o - 5. Let h be w(k). Round h to the nearest 10000.
-100000
Let f(w) = -2 + 3050*w**3 - 3*w + 4491*w**3 + 4459*w**3 - w**2. Let n be f(-2). What is n rounded to the nearest ten thousand?
-100000
Let c = -0.25 - -0.05. Let h = 0.2000032 + c. Round h to six dps.
0.000003
Let l(r) = r**2 - 9*r + 4. Let o be l(9). Suppose -2 = -m, m - o*m - 3439994 = 4*t. Round t to the nearest 100000.
-900000
Suppose 3*b + 15 = -2*b. Let n be b - (-7)/(7/6). Suppose -32981 + 236981 = -n*t. Round t to the nearest ten thousand.
-70000
Let i = 17 + -14. Let s = 4 - 2. Suppose -s*z + 4*z + 5*k = 1720, -i*z + 2546 = -k. Round z to the nearest one hundred.
900
Let b = -619 + 619.0000393. What is b rounded to six decimal places?
0.000039
Let v = -0.1 - 1.4. Let x = -1.50108 - v. Round x to 4 dps.
-0.0011
Let x be 2*2*6/12. Suppose -7*d + x*d + 2000 = 0. Round d to the nearest one hundred.
400
Suppose 10 = -2*z, 3*z + 2245 = 5*l + z. Let w = -767 + l. Round w to the nearest 100.
-300
Suppose -s + 5*w + 13000 = 0, -3*s + 6*s + 2*w - 39000 = 0. Round s to the nearest ten thousand.
10000
Let z = 8.8631 + -0.8676. Let n = z - 8. Round n to three dps.
-0.005
Let x be (-1)/((10/8)/(-5)). Let l be x + (1 - 605) + 0. What is l rounded to the nearest 1000?
-1000
Let f = 0.27 - 0.27. Let u = -1.1 - -1.0999965. Let a = f + u. What is a rounded to 6 dps?
-0.000004
Let x = -7 - 28. Let p = 23 + x. Let h = -5.4 - p. Round h to the nearest integer.
7
Let g be ((-20)/(4 - 8))/1. Suppose 0 = -4*x - s - s + 56400010, g*s - 70500025 = -5*x. Round x to the nearest 1000000.
14000000
Let d(k) = 4029*k**2 + 12*k - 11. Let r be d(9). Suppose -5*f + 1776446 = r. What is f rounded to the nearest one hundred thousand?
300000
Let m = -27467702595 + 27467702205.00000167. Let p = m - -390. What is p rounded to seven decimal places?
0.0000017
Let b(y) = y**3 + 22*y**2 + 38*y - 4. Let p be b(-20). Round p to the nearest ten.
40
Let o = 3.4 + -3. Let i = o + -0.6. Let j = -0.2000019 - i. What is j rounded to six dps?
-0.000002
Let s = -9.4 + -2.2. Let y = s + 16.3. What is y rounded to the nearest integer?
5
Suppose -3*g + 3*l = -120, -5*g - 3*l = -0*g - 208. What is g rounded to the nearest ten?
40
Let n be (872/(-24) + 0 + 3)*90. Round n to the nearest 1000.
-3000
Let j = -55207.0269876 + 55207. Let i = j - -0.027. What is i rounded to 6 decimal places?
0.000012
Let k = 4 - 6. Let w = 2 + k. Suppose -51500000 = -5*r - w*r. What is r rounded to the nearest one million?
10000000
Let r = -25 - 55. Let q = -79.9852 - r. Round q to 3 dps.
0.015
Let o = -0.089 + 0.089101. Round o to five dps.
0.0001
Let p = -26 + 8. Let u be (p - 2732)*300*12. Round u to the nearest 1000000.
-10000000
Let c = -51.074 + 51. Let n = c + -0.256. What is n rounded to 1 decimal place?
-0.3
Let w = -117.51 + 117. Let r = -0.428 - w. Let b = r + 0.658. What is b rounded to 1 dp?
0.7
Let n = 12.6 - 13. Let z = 0.1 + n. Round z to the nearest integer.
0
Let x = -3.4018 - 5.8083. Let o = -0.0799 + x. Let y = -7.9 - o. Round y to 1 dp.
1.4
Let u = 36 + -80. Let o = 1424813108 + -1424813063.99999922. Let l = u + o. What is l rounded to 7 dps?
0.0000008
Let t = 5.6 + -8.7. Round t to zero decimal places.
-3
Let s = -256.9783 + 257. What is s rounded to 3 decimal places?
0.022
Let c = 66 - 66.06. What is c rounded to two decimal places?
-0.06
Suppose 0 = 6*u - u + 1015. What is u rounded to the nearest 10?
-200
Let g = -59435888.9999876 + 59435921. Let j = g - 32. What is j rounded to 6 decimal places?
0.000012
Let z = 7071 - 7275.07. Let o = -205 - z. What is o rounded to one decimal place?
-0.9
Let u = -1.1 + 18.1. Let i = u - 17.00000022. Round i to 7 dps.
-0.0000002
Let l = -0.19 + 0.18999965. Round l to 7 decimal places.
-0.0000004
Let y = 0.11 + 0.01. Round y to two decimal places.
0.12
Let b = 4439 - 4437.5955. Let l = -1.4 + b. Round l to three dps.
0.005
Let l = 133 - 132.941. Let h = l + -0.0589933. Round h to 6 decimal places.
0.000007
Suppose -11 = -5*h + 4. Suppose 2*s - h*w = -3*s + 3, 2*s + 5*w = -5. Suppose q + 12898 = -l, -2*q + 6 - 2 = s. Round l to the nearest 1000.
-13000
Let l = -204.1 + 213. Let q = 4.3 - l. Let w = -4 - q. What is w rounded to one decimal place?
0.6
Let k be (1650/20)/((-6)/(-4000)). Round k to the nearest 10000.
60000
Let h = -540.403 - -521. Let g = 0.003 + h. What is g rounded to zero decimal places?
-19
Let g = 117.99999834 + -118. Round g to seven dps.
-0.0000017
Let y = 31 + -22. Let n = 8.9928 - y. What is n rounded to 3 decimal places?
-0.007
Let k = -3 - -3.05. Let b = k + -0.04999954. Round b to seven dps.
0.0000005
Let q = -3.153 - -3.165967. Let z = q - 0.013. What is z rounded to 5 dps?
-0.00003
Let j = -68 + 68.0000042. What is j rounded to six dps?
0.000004
Let t be (-6)/(-2) + 6/(-6). Suppose t*x = -1044819 + 3566291. Let s = 890736 - x. What is s rounded to the nearest 100000?
-400000
Let i = -64.746 + 65. Let n = 480726 - 480725.746119. Let b = n - i. What is b rounded to 5 dps?
-0.00012
Let n = -0.8 + 0.04. Let s = -4 + 3.7. Let r = n + s. What is r rounded to 1 decimal place?
-1.1
Let q = -18524 - 4058. Let m = 2418 - q. Round m to the nearest 10000.
30000
Let p = 539 + | {
"pile_set_name": "DM Mathematics"
} |
(v) = -271*v + 125*v - 4 + 244*v. List the prime factors of i(1).
2, 47
Let l = 181 - 54. Suppose -5*i + 927 = l. Suppose i = 3*g + g. What are the prime factors of g?
2, 5
Suppose 3*y + 292 = 5*y + 4*m, 3*m = 15. What are the prime factors of y?
2, 17
Let a(k) = -12*k**3 + 2*k + 1. Let i be (-8)/(-10) - (-414)/45. Let s be (i + -7)/(-3*1). List the prime factors of a(s).
11
Let x(c) = -4*c**3 + 4*c**2 - 4*c - 1. Let s be x(-4). Suppose 5*m - 135 = s. What are the prime factors of m?
2, 47
Let r(y) = 9*y**2 - 18*y - 150. List the prime factors of r(-12).
2, 3, 227
Let b(c) be the first derivative of c**3 + 7*c**2/2 + 3*c - 1. Let n(o) = o - 12. Let u be n(7). What are the prime factors of b(u)?
43
Suppose -5*p + p = -3420. List the prime factors of p.
3, 5, 19
Let b be (-1 + -45)*((-25)/(-10) - 4). Let r = b + -18. What are the prime factors of r?
3, 17
Let q be (-36)/(-21)*(-70)/(-4). Suppose 0 = -3*c + 5*h + 8, -2*h + 10 - q = -4*c. Let x = c + 9. What are the prime factors of x?
3, 5
Let q(d) = -243*d**3 - d**2 + 4*d + 4. List the prime factors of q(-1).
2, 11
Let c be 88/5 - 2/(-5). Suppose -65 = -c*r + 13*r. What are the prime factors of r?
13
Let i(x) = 37*x**2 + 5*x - 12. What are the prime factors of i(6)?
2, 3, 5
Let s be 2*(6 + -3) + -2. Suppose s - 6 = -d. Suppose -4*t + 45 = z, -d*z + 2*t + t = -112. List the prime factors of z.
53
Let l = 8 - -30. Let u = 94 - l. Let v = 80 - u. List the prime factors of v.
2, 3
Let y = -3634 + 6400. List the prime factors of y.
2, 3, 461
Let c(j) = -j**2 + 5*j. Let i be c(5). Suppose i = 5*z - z - 244. What are the prime factors of z?
61
Let l = 267 - -270. List the prime factors of l.
3, 179
Suppose 4*a = 4*r - 113 - 51, 5*a = -2*r - 240. What are the prime factors of a/4*(-16 - -10)?
3, 23
Suppose 0 = 5*v + 9 - 4. Let d(j) = 67*j**2 - j. Let l be d(v). Let b = 103 - l. List the prime factors of b.
5, 7
Let w(l) = 7*l - 21. Let f(z) = -7*z + 20. Let v = -12 - -10. Let m(h) = v*w(h) - 3*f(h). What are the prime factors of m(8)?
2, 19
Let s(f) = f**2 - f. Let c(w) = -2*w**2 - 8*w - 1. Let x(h) = -c(h) - s(h). Let q be x(-9). List the prime factors of -42*(6/(-9))/q.
2, 7
What are the prime factors of (-53 + -6 + 6)/((-2)/4)?
2, 53
Let o(z) = -z**2 + z. Let l(u) = -6*u**2 + u + 10. Let d(i) = -l(i) - 6*o(i). What are the prime factors of d(-3)?
7, 17
Let s be (-45 + 0)*(-144)/27. Suppose -7*v + s = -3*v. What are the prime factors of v?
2, 3, 5
Suppose 0 = -6*k + 2*k + 8. List the prime factors of (41/k)/(6/24).
2, 41
Suppose 4*c = -m + 12, -3*c = 2*m + 2*c - 18. Let u(d) = 8*d - 4 + 10*d - 6*d. List the prime factors of u(m).
2, 11
Let c = 172 + -98. What are the prime factors of c?
2, 37
Let s = 1729 + -1187. What are the prime factors of s?
2, 271
Let f be 3 + 15/(-3) - -3. Suppose 4*v = -2*h + f + 3, 3*v + 3 = -3*h. What are the prime factors of v?
3
Suppose -5*r + 5 = -4*r, -3*g + 5*r = 1. Let k(v) = v**2 + 9*v + 4. Let z be k(-4). List the prime factors of (-372)/z - 2/g.
23
What are the prime factors of (-3)/(33/(-44)) - (-1 - 1352)?
23, 59
Let s = 399 - 294. What are the prime factors of s?
3, 5, 7
Suppose 3*c + 10*c - 3705 = 0. Let b = -82 + c. What are the prime factors of b?
7, 29
List the prime factors of (-60)/(-80)*8196/9.
683
Let y be 165/3 + (2 - 1). Suppose -5*g + 176 = 4*f - 82, -g + y = 3*f. Let p = g - 19. What are the prime factors of p?
31
Suppose -12 - 48 = -5*s. Suppose s = 2*m - 0*m. Suppose -126 = 3*w - m*w. List the prime factors of w.
2, 3, 7
Suppose 4*u + 4 = 32. Suppose 4 = s - u. What are the prime factors of s?
11
List the prime factors of 1272 + 2 - (3 + -3)/3.
2, 7, 13
Suppose 2*v - 10 = -3*v. Suppose v*u - 4 = 0, q = -q + 4*u - 12. What are the prime factors of (-65)/(-10) - q/(-4)?
2, 3
Let x = 28 + -26. Let o = x + 37. What are the prime factors of o?
3, 13
Suppose 301 = 2*s + 77. Suppose 2*m + m - 2*u = s, 5*m - 5*u = 185. Let a = m + -22. List the prime factors of a.
2
Let r(u) be the first derivative of 61*u**5/120 - u**4/24 - u**3/3 + 11. Let v(n) be the third derivative of r(n). What are the prime factors of v(1)?
2, 3, 5
Let i = -227 - -953. Let z = i + -490. Suppose 6*w - z = 22. What are the prime factors of w?
43
Let a(m) = m**3 - 19*m**2 + m + 30. Let t(o) = o**3 - 20*o**2 + 2*o + 30. Let c(z) = -5*a(z) + 6*t(z). What are the prime factors of c(25)?
5, 41
Let g be 13189/77 - 4/14. Suppose 19 + g = 5*f. What are the prime factors of f?
2, 19
Suppose 15 + 25 = t. Suppose -2*l - 44 = l - 5*c, -2*l - t = 2*c. Let b(g) = g**3 + 18*g**2 + 3. What are the prime factors of b(l)?
3
Suppose 2 = 2*c + 4*x, c + x + 17 = -3*c. Let j(a) = -a**2 - 6*a + 3. Let s be j(c). List the prime factors of (s/(-12))/((-3)/45).
2, 5
Suppose 3745*c + 3390 = 3750*c. List the prime factors of c.
2, 3, 113
Let m(x) be the first derivative of 2*x**3/3 - 11*x**2 - 2*x - 4. List the prime factors of m(13).
2, 5
What are the prime factors of (-17)/(-102)*138/3*138?
2, 23
Let i(l) be the second derivative of 1/20*l**5 + 3*l**2 - 7*l + 13/6*l**3 - 11/12*l**4 + 0. What are the prime factors of i(10)?
2, 3
Let v(z) = 9*z**2 + 7*z. Let t be v(4). Suppose -4*f = -8*f + t. What are the prime factors of f?
43
Suppose 0 = -3*v + 204 + 3699. List the prime factors of v.
1301
Suppose -7*v + 4 = -6*v. Suppose -d + 546 = v*i, -3*i - 5*d - 126 = -4*i. What are the prime factors of i?
2, 17
Let c be (0 + 8/(-12))*-36. List the prime factors of 4/c*826 + 6/(-9).
137
Suppose 2*p - 5*a = 252, p = -7*a + 9*a + 127. What are the prime factors of p?
131
Let x = 2752 + 65. List the prime factors of x.
3, 313
What are the prime factors of -10 + 5/((-10)/(-582))?
281
Suppose v = 3*v - 3*r - 318, -3*v + 2*r = -472. Suppose -4*z - z = -f + v, 4 = 4*z. List the prime factors of f.
7, 23
Suppose 5*b = 4*q - 8080, 0 = -18*b + 20*b. List the prime factors of q.
2, 5, 101
Let h(k) = k - 45. Let z be h(7). Let d = 22 - z. List the prime factors of d.
2, 3, 5
Let n(g) = 2 - 15*g - 4*g**3 + 37*g + 3*g**2 - 23*g. Let x be n(-2). List the prime factors of x/80*(-85)/(-1).
3, 17
Let x = 1251 + -503. What are the prime factors of x?
2, 11, 17
Let c(k) = k**2 - 5*k + 5. Let g be c(5). Suppose -g*p - 112 + 7 = 0. Let f = p - -26. List the prime factors of f.
5
Suppose 0 = 3*g - 4*g + 4*s + 1798, 3*g - 4*s - 5386 = 0. List the prime factors of g.
2, 3, 13, 23
Suppose 0 = -19*c + 6*c + 27313. List the prime factors of c.
11, 191
Let k(q) = -230*q + 21. Let t be k(2). Let c = -151 - t. List the prime factors of c.
2, 3
Let k be (-8)/60 + (-2468)/(-60). Let l be (-4)/(-10) + 82/(-5). Let f = l + k. List the prime factors of f.
5
Let f(j) be the second derivative of -j**3/6 + 9*j**2 + 4*j. Let k be f(6). Suppose -i - k = -16. List the prime factors of i.
2
Suppose -a = 4*a + 4*k + 124, -47 = 2*a - k. Let p = a - -23. List the prime factors of -1*(3 + p) + 37.
5, 7
Let i(p) = -5*p**3 - 1. Suppose 5*q - 5*n - 30 - 15 = 0, -4*q - 5*n = -18. Suppose 0 = -5*f + 3*y - 2, q*f = 4*f - 4*y - 7. List the prime factors of i(f).
2
Let g(f) = 3*f**2 + 18*f - 21*f**2 + 6*f**2 - f**3 - 15. List the prime factors of g(-14).
5
Let r(c) = -c**3 - 41*c**2 - 28*c - 121. List the prime factors of r(-41).
13, 79
Suppose 0 = -35*g + 30*g + 10, -g + 3690 = 2*w. What are the prime factors of w?
2, 461
Let z(p) = 330*p - 316. List the prime factors of z(7).
2, 997
Let s(z) = -3*z**3 + 25*z**2 + 17*z + 41. Let x(u) = -2*u**3 + 13*u**2 + 9*u + 21. Let c(i) = 3*s(i) - 5*x(i). List the prime factors of c(-9).
3, 5
Let u(q) = 6*q - 16. Let c be u(4). Let r(t) = -t**3 + 9*t**2 - 4*t + 7. List the prime factors of r(c).
3, 13
Let r = 43 - -86. List the prime factors of r.
3, 43
What are the prime factors of 1 + 7/(-8) - 517371/(-1896)?
3, 7, 13
Let n(l) = l**3 + 8*l**2 + 3*l - 3. Suppose -9*v = -7*v - 114. Let t be (-3)/(-9) + v/(-9). List the prime factors of n(t).
3, 17
Let n(u) = -2*u**3 + 17*u**2 + 12*u - 21. Let x be n(9). Suppose -3*o = x, o = -6*i + 3*i + 451. List the prime factors of i.
151
Suppose -2*l = -2*y + 866, 2*y - 5*l = -0*y + 881. List the prime factors of y.
2, 107
Let n = 3 - 1. Let c(i) = -i + n - 3*i**2 - 8 - 2*i + 0*i**3 - i**3. List the prime factors of c(-3).
3
Suppose 9263 = 26*t - 9535. What are the prime factors of t?
3, 241
Sup | {
"pile_set_name": "DM Mathematics"
} |
hat is 4 divided by -444?
-1/111
What is 5 divided by 4790?
1/958
Divide -1358 by -2.
679
-321 divided by -1
321
Divide 2716 by -2716.
-1
What is -1770 divided by -295?
6
What is 21376 divided by 16?
1336
26844 divided by -4
-6711
Divide 511 by -7.
-73
What is 44 divided by -4?
-11
Calculate 0 divided by -3590.
0
Divide 132 by 6.
22
Calculate -4066 divided by 1.
-4066
Divide 86 by 86.
1
-600 divided by -5
120
27105 divided by 5
5421
Calculate -796 divided by 199.
-4
-3352 divided by 1
-3352
Calculate 2019 divided by -3.
-673
Divide -113 by -1.
113
11835 divided by -3945
-3
Calculate -3204 divided by -12.
267
-44 divided by 22
-2
Calculate 1 divided by -3111.
-1/3111
What is 6 divided by 34?
3/17
704 divided by 8
88
What is 2815 divided by 4?
2815/4
What is -846 divided by -282?
3
Calculate 320 divided by -5.
-64
What is -720 divided by 3?
-240
Divide 20 by -4.
-5
Divide -1848 by 3.
-616
Divide 71 by 19.
71/19
What is -12880 divided by 184?
-70
Divide 14088 by -3.
-4696
-380 divided by 76
-5
5564 divided by 52
107
Divide 58854 by 6.
9809
-11484 divided by 261
-44
Calculate 11570 divided by -5.
-2314
What is 109 divided by 1?
109
What is 480 divided by 30?
16
2784 divided by -696
-4
What is 2 divided by -856?
-1/428
-3 divided by 193
-3/193
5 divided by 2659
5/2659
Divide -749 by -7.
107
What is 33 divided by -296?
-33/296
What is -566 divided by 1?
-566
Divide -3010 by -2.
1505
What is -2274 divided by 3?
-758
Calculate 320 divided by -64.
-5
Calculate -390 divided by -3.
130
Divide -1034 by 2.
-517
2 divided by -33
-2/33
What is -7 divided by 35?
-1/5
9 divided by 315
1/35
-482 divided by -9
482/9
Divide -166 by -83.
2
What is 3229 divided by 1?
3229
Divide 20 by -4.
-5
Calculate 3 divided by -994.
-3/994
Divide 2985 by 1.
2985
What is -6 divided by 179?
-6/179
Calculate 778 divided by 1.
778
What is -770 divided by 6?
-385/3
Calculate 0 divided by 275.
0
5 divided by -2
-5/2
Divide 1230 by -2.
-615
What is 1224 divided by -204?
-6
What is -52 divided by -66?
26/33
What is 8232 divided by 196?
42
Calculate 4 divided by 46.
2/23
-2806 divided by -61
46
-1020 divided by 3
-340
Divide -195 by 65.
-3
-1479 divided by -3
493
Divide -16326 by 3.
-5442
Calculate -3212 divided by -1606.
2
Divide -382 by -382.
1
Divide 3 by -718.
-3/718
Divide 5 by 48.
5/48
Calculate -132 divided by -6.
22
-12 divided by 4
-3
-583 divided by 1
-583
Divide -1 by 1011.
-1/1011
Divide -472 by -4.
118
501 divided by 167
3
-120 divided by 20
-6
Calculate -4555 divided by -911.
5
What is -3672 divided by -136?
27
Calculate -264 divided by 6.
-44
Calculate 3 divided by 96.
1/32
What is 16682 divided by -2?
-8341
What is -966 divided by -21?
46
Divide 3722 by -11.
-3722/11
Divide 1 by 292.
1/292
What is 75 divided by 3?
25
Divide 249 by -3.
-83
Divide -419 by 28.
-419/28
Divide 36 by 6.
6
Divide -341 by -31.
11
What is 12 divided by -3?
-4
Calculate -436 divided by 6.
-218/3
Divide -3 by -93.
1/31
What is -3126 divided by -6?
521
Divide 5129 by 223.
23
Calculate -350 divided by -5.
70
What is 3971 divided by -361?
-11
-6448 divided by -104
62
Divide 2274 by 758.
3
Calculate 983 divided by -3.
-983/3
Divide -587 by 587.
-1
Divide 6485 by 1297.
5
What is -27 divided by 3?
-9
4984 divided by -28
-178
Divide 95 by 95.
1
-5 divided by -1427
5/1427
Calculate 28 divided by -14.
-2
What is -50 divided by 25?
-2
What is 18 divided by -3?
-6
What is -220 divided by 10?
-22
Divide 1 by 81.
1/81
Calculate 5 divided by -78.
-5/78
Calculate -2 divided by -3.
2/3
Divide 2005 by 1.
2005
Divide -70 by -2.
35
-66 divided by 22
-3
What is -1 divided by -376?
1/376
What is 214 divided by -214?
-1
What is 5976 divided by -1992?
-3
-624 divided by 78
-8
Calculate -28 divided by -2.
14
-32 divided by -448
1/14
Divide -6 by 33.
-2/11
Divide -499 by -5.
499/5
Divide 322 by 2.
161
Divide 18 by 9.
2
Calculate -2 divided by -486.
1/243
Divide -436 by -109.
4
What is 8 divided by -1?
-8
What is 320 divided by 5?
64
Divide 7 by 264.
7/264
What is 830 divided by -830?
-1
What is -307 divided by 27?
-307/27
Calculate 1 divided by -17.
-1/17
Calculate -72 divided by 6.
-12
Divide -74 by 4.
-37/2
-96 divided by -27
32/9
Divide -2 by -2088.
1/1044
What is -532 divided by 266?
-2
16296 divided by 42
388
What is -312 divided by 5?
-312/5
-17181 divided by 23
-747
593 divided by -4
-593/4
What is -15830 divided by -2?
7915
Divide 354 by -1.
-354
Calculate -558 divided by -93.
6
Calculate 4 divided by -14.
-2/7
126 divided by -6
-21
What is -3042 divided by 6?
-507
Divide 123 by 2.
123/2
4510 divided by -3
-4510/3
Calculate -1 divided by 4221.
-1/4221
Calculate 3 divided by -36.
-1/12
Calculate 1092 divided by 273.
4
What is 13 divided by 195?
1/15
What is -12 divided by -1?
12
30 divided by -4
-15/2
288 divided by 39
96/13
What is 60 divided by 4?
15
Divide -3 by -499.
3/499
Calculate -1022 divided by 146.
-7
Divide 160 by -1.
-160
-18 divided by -247
18/247
3 divided by 584
3/584
What is -762 divided by -6?
127
Calculate 185 divided by -5.
-37
Calculate 140 divided by -10.
-14
-4975 divided by 5
-995
What is -212 divided by 3?
-212/3
Divide -8855 by 1771.
-5
Calculate -15 divided by 22.
-15/22
69 divided by -1
-69
-84 divided by -14
6
-2815 divided by 3
-2815/3
Calculate 317 divided by 4.
317/4
Divide 473 by 1.
473
Calculate 7 divided by 123.
7/123
-178 divided by 2
-89
Calculate -1984 divided by 8.
-248
-669 divided by -223
3
What is 807 divided by -269?
-3
What is 5 divided by 3?
5/3
Calculate 118848 divided by 4.
29712
What is 212 divided by 8?
53/2
What is 11038 divided by -5519?
-2
What is 41 divided by 41?
1
Calculate 4 divided by 4.
1
What is 3819 divided by 1273?
3
2176 divided by -32
-68
386 divided by -193
-2
What is -291 divided by 3?
-97
Calculate 7 divided by 2195.
7/2195
989 divided by -5
-989/5
14394 divided by -6
-2399
What is -334 divided by 334?
-1
Divide -1572 by 786.
-2
-2 divided by -308
1/154
What is 1645 divided by 16?
1645/16
5320 divided by -532
-10
-67 divided by -5
67/5
Divide 24 by 2.
12
What is 786 divided by -1?
-786
Calculate -76 divided by 19.
-4
Calculate -1 divided by 122.
-1/122
Calculate 48 divided by -24.
-2
What is 496 divided by -6?
-248/3
Divide 0 by -88.
0
Calculate -990 divided by 330.
-3
What is 84 divided by -9?
-28/3
What is 328 divided by 2?
164
Divide -82 by -6.
41/3
Calculate -311 divided by 2.
-311/2
-6424 divided by -584
11
Divide -4 by 7948.
-1/1987
What is 7 divided by -3?
-7/3
Divide 0 by -490.
0
-357 divided by 3
-119
Divide 2080 by -32.
-65
What is -927 divided by 3?
-309
3 divided by 370
3/370
What is -3664 divided by 4?
-916
-1201 divided by -9
1201/9
What is 2 divided by 67?
2/67
-13 divided by -144
13/144
-12516 divided by -447
28
Calculate -1878 divided by -6.
313
What is 3 divided by -130?
-3/130
What is 3928 divided by 3928?
1
Divide 45 by -45.
-1
Calculate -4857 divided by 1.
-4857
-78 divided by -39
2
Divide -21 by -20.
21/20
-8 divided by -13
8/13
-1190 divided by 170
-7
Calculate 10 divided by -1958.
-5/979
Calculate -5 divided by -80.
1/16
32973 divided by 6
10991/2
-1 divided by 37
-1/37
Divide 2162 by 1.
2162
Divide -16 by 186.
-8/93
What is 8 divided by 6?
4/3
What is -1362 divided by 2?
-681
344 divided by 172
2
9 divided by -3
-3
What is -69 divided by 150?
-23/50
What is 9546 divided by -86?
-111
Divide -833 by 833.
-1
-666 divided by 222
-3
What is -15806 divided by -2?
7903
What is 125065 divided by -5?
-25013
Divide -86 by 43.
-2
Divide 11138 by -1.
-11138
What is 405 divided by 5?
81
Divide 1 by -7.
-1/7
Divide 106 by 7.
106/7
What is 34 divided by 1?
34
What is -23311 divided by -1?
23311
What is 270 divided by -4?
-135/2
-225 divided by -75
3
Calculate 443 divided by 2.
443/2
Divide 16809 by -5603.
-3
What is 12 divided by 11?
12/11
Divide 82 by -82.
-1
What is -2 divided by -4?
1/2
3614 divided by -3
-3614/3
What is -136 divided by 34?
-4
What is -126 divided by 21?
-6
Calculate 27 divided by -124.
-27/124
1602 divided by -6
-267
Calculate -2496 divided by -64.
39
What is 155 divided by -31?
-5
What is 2 divided by -448?
-1/224
Divide 20 by 30.
2/3
Calculate -14 divided by 19.
-14/19
What is -150 divided by -50?
3
Calculate 246 divided by -2.
-123
What is -57 divided by -16?
57/16
Divide 474 by 1.
474
Divide 266 by -38.
-7
What i | {
"pile_set_name": "DM Mathematics"
} |
+ a**2/8 - a/8 - 15. Let l(i) = 0. What is i?
1
Let x = -19 + 21. Factor 4/9 + 2*n + 8/9*n**x.
2*(n + 2)*(4*n + 1)/9
Let m(h) be the second derivative of -h**7/105 + h**6/15 - h**5/6 + h**4/6 - h**2/2 + h. Let o(r) be the first derivative of m(r). Determine s so that o(s) = 0.
0, 1, 2
Suppose 0*x - 3*x + 39 = 0. Let w(o) = x*o + 2 + 7 + 9*o**2 + 8*o + 2. Let f(m) = 4*m**2 + 10*m + 6. Let c(z) = 5*f(z) - 2*w(z). Suppose c(b) = 0. What is b?
-2
Solve 2/9*v**2 + 4/9*v - 2/3 = 0.
-3, 1
Suppose 0 = 3*v - f + 285, 3*v - 3*f - 2*f + 297 = 0. Let g = -466/5 - v. Factor g*r**2 + 2*r**3 - 4/5 - 2*r.
2*(r - 1)*(r + 1)*(5*r + 2)/5
Let b be 3 + (35/30 - 4). What is m in -m + b*m**2 + 3/2 = 0?
3
Solve 16*v**4 - 8*v - 1112 + 44*v**3 + 20*v**2 + 1112 = 0.
-2, -1, 0, 1/4
Let h(m) be the third derivative of -m**7/2100 - m**6/300 - m**5/100 - m**4/60 + 5*m**3/6 + 4*m**2. Let j(p) be the first derivative of h(p). Factor j(r).
-2*(r + 1)**3/5
Let h be (-1 + (-5)/3 + 3)*1. Factor 10/3*o**2 - 1/3*o**3 - h*o**5 + 4/3*o - 4/3*o**4 - 8/3.
-(o - 1)**2*(o + 2)**3/3
Let h(x) be the third derivative of x**5/330 + 6*x**2. Factor h(b).
2*b**2/11
Let r(p) be the third derivative of -p**6/40 + p**5/20 + p**4/4 - 8*p**2. Solve r(w) = 0.
-1, 0, 2
Let c(y) be the third derivative of y**8/168 - 2*y**7/105 + y**6/60 + 15*y**2. Factor c(w).
2*w**3*(w - 1)**2
Let s be 4/(52/15) - (-4 - -5). Factor 4/13*w**3 + s*w**4 + 2/13*w**2 + 0*w + 0.
2*w**2*(w + 1)**2/13
Let w(g) be the second derivative of -g**6/4 + 39*g**5/40 - g**4/2 - g**3 + 4*g. Let w(z) = 0. Calculate z.
-2/5, 0, 1, 2
Let h = 35/87 + -2/29. Let t(i) be the second derivative of i + 0 + 1/6*i**4 - 2*i**2 + h*i**3. Factor t(o).
2*(o - 1)*(o + 2)
Find p, given that -3/2*p**3 + 0*p**2 + 0 + 3/2*p = 0.
-1, 0, 1
Let f(z) be the first derivative of -7*z**4/6 + 2*z**3/3 + 2*z + 1. Let n(o) be the first derivative of f(o). Solve n(q) = 0 for q.
0, 2/7
Let m = 164/3 + -54. Let w(x) be the second derivative of 0 + m*x**3 - 1/2*x**2 - 7/48*x**4 - 3*x. Factor w(p).
-(p - 2)*(7*p - 2)/4
Let b be 4*3/(-42)*35/(-15). Factor -2/3*i + b*i**3 + 0 + 0*i**2.
2*i*(i - 1)*(i + 1)/3
Let s be -1 + 1/(-3)*231/(-70). Let x(y) be the second derivative of 0 + y + 1/3*y**3 + 1/4*y**2 + 1/4*y**4 + 1/60*y**6 + s*y**5. Factor x(n).
(n + 1)**4/2
Let f be (-3)/(-1 + 5 + -3). Let k(m) = m**2 + 3*m + 2. Let b be k(f). Find c, given that -b*c - 1 - 10*c**2 + 2*c**3 + 10*c**2 + c**4 = 0.
-1, 1
Let n(t) be the third derivative of -t**6/960 + t**4/192 + 19*t**2. Factor n(q).
-q*(q - 1)*(q + 1)/8
Let a(r) be the second derivative of 0 + r + 1/8*r**3 + 1/48*r**4 + 0*r**2. Let a(n) = 0. What is n?
-3, 0
Let a(d) be the second derivative of 1/2*d**3 - 6*d + 0 - 1/12*d**4 - d**2. Factor a(y).
-(y - 2)*(y - 1)
Factor 18*i**2 - 2 - 29*i**2 - 4 + 3*i + 14*i**2.
3*(i - 1)*(i + 2)
Let r(v) be the third derivative of v**6/120 - v**5/12 + v**4/3 - 2*v**3/3 - 27*v**2. Determine p so that r(p) = 0.
1, 2
Let z(c) = c - 2. Let j be z(-5). Let x = j + 11. Let -m**3 - 4*m - 3*m**3 + x*m**2 + 2*m**2 + 1 + m**4 = 0. What is m?
1
Suppose 2*t - 5*a = -2*a + 9, -t + 8 = 2*a. Find c, given that 3*c**2 - 5*c**2 - 20*c**3 - 3*c**5 + 12*c**5 - t*c**2 - 6*c**4 = 0.
-2/3, 0, 2
Let d(f) be the second derivative of -f**6/90 + f**5/30 - f**4/36 + 2*f**2 + 3*f. Let w(s) be the first derivative of d(s). Let w(x) = 0. Calculate x.
0, 1/2, 1
Factor -13 + u**3 - 8 - 3*u - 2*u**2 + 21.
u*(u - 3)*(u + 1)
Suppose -w - 4*w - 3 = 2*h, 4*w - 12 = 0. Let t be (12/h)/(4/(-6)). Factor -3/2*o**4 + 0 + 0*o - 1/2*o**5 - 1/2*o**t - 3/2*o**3.
-o**2*(o + 1)**3/2
Let o(l) = -2*l**3 - l**2 + 2*l - 1. Let c be o(1). Let f be (12/9*-5)/c. Factor -8/3*j**2 - 2/3 - f*j.
-2*(j + 1)*(4*j + 1)/3
Let 0 - 66/5*y**3 - 24/5*y**4 - 72/5*y**2 - 27/5*y - 3/5*y**5 = 0. Calculate y.
-3, -1, 0
Let s(o) be the first derivative of 0*o**2 + 0*o**3 + 0*o + 1/14*o**4 - 4 - 2/35*o**5. Factor s(l).
-2*l**3*(l - 1)/7
Let u be 76/(-171) - 31/(-9). Let s be -1 + (u/3 - -3). Suppose 0 - 3/2*d**2 - d**4 - 1/4*d - 9/4*d**s = 0. Calculate d.
-1, -1/4, 0
Let y(o) = 5*o**4 - 80*o**3 + 85*o**2 - 10*o. Let w(i) = -i**4 + i**2. Let q(a) = 30*w(a) - y(a). Factor q(f).
-5*f*(f - 1)**2*(7*f - 2)
Let t(s) = 5*s - 17. Let n be t(4). Let i(j) be the third derivative of 1/6*j**n + 1/30*j**5 - j**2 + 0*j + 0 - 1/8*j**4. What is v in i(v) = 0?
1/2, 1
Let q(g) = 28*g**3 + g + 1. Let h be q(-1). Let x be (-44)/h - 1/1. Factor x - 2/7*b - 6/7*b**2.
-2*(b + 1)*(3*b - 2)/7
Factor 0 - 1/3*c**3 + 2/3*c**2 + 0*c.
-c**2*(c - 2)/3
Let x(t) be the first derivative of 10/3*t**3 + t - 13/4*t**2 - 1 - 9/8*t**4. Factor x(o).
-(o - 1)**2*(9*o - 2)/2
Factor -x**3 + 14*x**4 - 4*x**4 - 9*x**4.
x**3*(x - 1)
Let l be (16/(-12))/((-4)/(-6)). Let z be l/1 + 2 + 0. Let -2/5*y - 2/5*y**2 + z = 0. Calculate y.
-1, 0
Let q(j) be the third derivative of -1/21*j**3 + 1/42*j**4 + 3*j**2 - 1/210*j**5 + 0*j + 0. Find f, given that q(f) = 0.
1
Let z(m) be the second derivative of 4*m**7/105 + m**6/15 - m**5/25 - m**4/10 + 13*m. Solve z(n) = 0.
-1, 0, 3/4
Let b be ((-15)/(-5) - (-19)/(-5)) + 2. Find i, given that -6/5*i - 2/5*i**3 + 2/5 + b*i**2 = 0.
1
Let z = -125 - -131. Let o(q) be the first derivative of q**3 + 9/4*q**4 - 3 - 9/2*q**2 - z*q + 3/5*q**5. Find t such that o(t) = 0.
-2, -1, 1
Suppose -s + 22 = -5*n, 0*n + 3*n = 4*s - 20. Let z = -15/4 + 4. Factor -z*h**3 - 1/2*h**s - 1/4*h + 0.
-h*(h + 1)**2/4
Suppose j = 5*j - 24. Suppose 0 = 5*c - 4 - j. Let 1/3*i**c + 0 - 1/3*i = 0. What is i?
0, 1
Suppose -2*w = -4*w + 4. Let s(r) be the first derivative of 0*r**2 + w + 1/27*r**6 - 2/27*r**3 + 0*r - 1/18*r**4 + 2/45*r**5. Factor s(l).
2*l**2*(l - 1)*(l + 1)**2/9
Let r(d) = -2*d**4 - 10*d**3 - 12*d**2 - 2*d + 8. Let h(i) = i**4 + i**3 + i. Let j(v) = 6*h(v) + r(v). Factor j(g).
4*(g - 2)*(g - 1)*(g + 1)**2
Suppose -l + 4*j - 6 = 0, 3*l + 4*j + 15 + 19 = 0. Let o be 96/10 + 6/l. Suppose 3/5*v**2 - 6/5*v + 57/5*v**4 + o*v**3 + 0 + 21/5*v**5 = 0. Calculate v.
-1, 0, 2/7
Let h(i) = 23*i**3 - 17*i**2 - 23*i - 17. Let t(w) = -4*w**3 + 3*w**2 + 4*w + 3. Let u(k) = -6*h(k) - 34*t(k). Suppose u(o) = 0. Calculate o.
-1, 0, 1
Let n(g) be the first derivative of -g**5/20 + g**4/12 + g**3/3 - g + 1. Let m(l) be the first derivative of n(l). Factor m(f).
-f*(f - 2)*(f + 1)
Let s = 557/70 - 62/7. Let w = s + 37/30. Factor 1/3*d**2 - w*d - 2/3.
(d - 2)*(d + 1)/3
Factor 0*k + 4/5*k**2 + 0 + 2/5*k**5 - 6/5*k**3 + 0*k**4.
2*k**2*(k - 1)**2*(k + 2)/5
Let x(l) be the first derivative of 4/27*l**3 + 1/9*l**2 + 2 + 0*l + 1/18*l**4. Factor x(r).
2*r*(r + 1)**2/9
Let n be 5 + (-16 - -10) + 5. Find w, given that 44/5*w**2 - 16/5*w**3 + 18/5 - 48/5*w + 2/5*w**n = 0.
1, 3
Let p(d) be the third derivative of 1/15*d**3 + 1/300*d**6 + 2*d**2 - 1/60*d**4 + 0 - 1/150*d**5 + 0*d. Solve p(c) = 0 for c.
-1, 1
Let p(b) = -b**2 - 5*b - 2. Let o be p(-3). Let 7*g**2 - 4*g**2 - 2 - 16*g + 5*g**3 + 6 + o*g = 0. Calculate g.
-2, 2/5, 1
Let h(i) be the first derivative of -4 + 0*i**3 - 3/2*i**2 + 1/84*i**4 + 1/210*i**5 + 0*i. Let c(w) be the second derivative of h(w). What is a in c(a) = 0?
-1, 0
Let j = 2 + 12. Suppose 5*a = -4 + j. Factor 4*z + 2*z**2 + 6 - 5*z**2 - 5*z - a*z.
-3*(z - 1)*(z + 2)
Let l(v) be the third derivative of 0 + 6*v**2 + 1/12*v**4 - 3/10*v**5 + 0*v**3 + 0*v + 27/80*v**6. What is x in l(x) = 0?
0, 2/9
Let j = -13 + 12. Let a be (j/2)/((-12)/16). Factor 4/3*s**3 + 2/3*s**2 + 0 + a*s**4 + 0*s.
2*s**2*(s + 1)**2/3
Let y(r) be the second derivative of r**4/18 - r**3/9 - 2*r**2/3 - 7*r. Let y(l) = 0. Calculate l.
-1, 2
Let a(m) be the third derivative of -1/3*m**4 + 1/30*m**5 - 5*m**2 + 0*m + 0 + 4/3*m**3. Factor a(g).
2*(g - 2)**2
Let q = 1/263 + 523/789. Let 0 + 0*o**2 + 2/3*o - q*o**3 = 0. Calculate o.
-1, 0, 1
Let o(a) be the second derivative of a**5/80 + a**4/8 + a**3/3 + 51*a. Factor o(i).
i*(i + 2)*(i + 4)/4
Let x be 6/(-4) + (-9)/(-2). Suppose x*d - 3 - 3 = 0. What is m in -2 + 1 + m**d + 0*m**2 = 0?
-1, 1
Factor 12/7*o + 0 + 3/7*o**3 + 12/7*o**2.
3*o*(o + 2)**2/7
Let u(v) be the second derivative of v**4/15 + 2*v**3/5 - 8*v**2/5 - v. Factor u(l).
4*(l - 1)*(l + 4)/5
Let c(d) = -2. Let w(n) = 1. Let o(i) = 2*c(i) + 3*w(i). Let h(k) = -12*k**3 - 33*k**2 - 15*k + 10. Let t(l) = -h(l) - 4*o(l). Factor t | {
"pile_set_name": "DM Mathematics"
} |
+ 20*j, 2*j + 23 = m*s for s.
5
Let j = -24463 + 24466. Solve -h + 0 = -3*q - 8, 0 = -h - 2*q + j for h.
5
Suppose 24 = -7*g + 402. Suppose -8*p - g = -14*p. Solve 2*l + 0*n = 5*n - 1, -3*l + p = 3*n for l.
2
Suppose -30*s - 29*s + 61 = 2*s. Solve 4*p - 7*p - 4*f - s = 0, 0 = -f + 2 for p.
-3
Suppose -3*a + 4*w = -24, 7*a = 9*a - 5*w - 23. Solve -5*f + a*x + 7 - 14 = 0, 0 = -f - 2*x + 7 for f.
1
Let a(b) = -3*b**3 + 15*b**2 - 9*b + 5. Let i be a(4). Suppose -5*d + i = -33. Solve -4*f - 1 + d = 5*z, 2*f - z - 1 = 0 for f.
1
Let y = 290 + -258. Solve 5*l = 4*o + 1, 7*l - 11*l = 5*o + y for l.
-3
Suppose -52 - 23 = -25*a. Let f be -3 + (13 + 5)/a. Solve 3*p - 9 = -5*t, 7 = f*p - 2 for t.
0
Let b(w) = -2*w**3 + 13*w**2 - 4*w - 15. Let q be b(6). Let a be ((-13)/q - -2) + (-16)/48. Solve 2*l + r = 5 - 2, -4*l - a = -2*r for l.
0
Let g be 2*(1 + -4 - (-27)/6). Suppose -a - g = -3*a + 5*h, -33 = 3*a + 5*h. Let w be a/(-5)*(-130)/(-39). Solve -5*y = c + 25 - w, 5*c - 4*y = 40 for c.
4
Suppose 15*t = 97 - 22. Solve -5*b = -4*d + 6*d - 23, -t*b - 5 = -5*d for b.
3
Let f(y) = 136*y**2 + 406*y - 3. Let k be f(-3). Solve 3*t = 4*j + 12, 12 = k*t + 11*j - 10*j for t.
4
Suppose 4*f = 5*j - 2, -2*j = -5*f + 26 - 20. Solve -m + 11 - 7 = j*o, -m - 8 = -o for o.
4
Let m be 48/8 + -2 + 5. Suppose -19*s + 18*s - 3 = -4*b, -2*b + m = -3*s. Solve -13 = 5*o - 4*j - 0*j, -2*o - 4*j + 6 = b for o.
-1
Suppose -1213*l = -1233*l + 320. Solve -27*d = -5*b - 23*d - 38, 3*b = -d - l for b.
-6
Let p be (2*1)/(396/(-394) + 1). Let f = -387 - p. Solve f*r = -4*v + 4*r + 31, 0 = 2*v - 3*r + 7 for v.
4
Let u be 23 + 1 - (-6 - 24*4/(-8)). Solve 4 = 4*l - 2*b, -u*l + 14*l - 12 = 2*b for l.
-1
Let s(r) = -r**2 - 3*r + 2. Let x be s(-4). Let k be 1/x + 5/10. Let z be k/3*(4/(-2))/(-4). Solve -4*t - 3*a - 20 = z, 3*t - a + 0*a = -15 for t.
-5
Suppose 2*d + 302 = -3*n, 3*n + 61 = 4*d - 271. Let r = -99 - n. Suppose r*p - 5 = c, 4*c + c + 2*p = 56. Solve 0 = -4*v - 3*t - 11, 10*v + 5*t + c = 5*v for v.
-5
Let m = 6 - 1. Suppose 2*g + 9 - 5 - 12 = 0. Solve 2*z - 11 = z + g*n, -m*z - 5*n - 20 = 0 for z.
-1
Let h be 5*(-56 + 57)/(2 + -1). Solve -m + 3*n - 4 = 3*m, -5*m = -h*n + 5 for m.
-1
Suppose 7*h - 6*h + d - 4 = 0, h = -4*d + 4. Suppose -2*m + 71 = 5*n, -m - h*n = m - 66. Solve 3*j = 5*z - m, 3*z = -2*j + 7*j + 17 for j.
-1
Suppose 124 - 130 = -3*h. Solve h*y + 2 - 4 = 0, -2*l + y = -9 for l.
5
Suppose 29*r - 2*r = 3402. Suppose 0 = 21*m + 63 - r. Solve 2*i + 5*c + 5 = 0, 10*i = 12*i + m*c - 1 for i.
5
Let s = 48 - 48. Let a be -1 - s - 75/(2 + -5). Suppose -3*z + 2*z = -3, -3*z + a = 5*d. Solve -4*t + 4*f = -4, -d*t + 4*f - 3 = -5 for t.
2
Suppose 29*p + 14*p - 250 = -7*p. Solve -3*h + p*y - 3*y + 17 = 0, -2*h = -3*y - 13 for h.
5
Suppose -12*s = -14*s. Suppose s = 2*b - v - 18 + 20, b = v - 2. Solve -4*x - 13 = -k, 2*k + 0*k + 5*x = b for k.
5
Let x(h) = -24*h - 211. Let z be x(-9). Solve -l + 4 = z*p, 2*l = -2*p - 0*p for p.
1
Let f(m) = m**3 - 11*m**2 + 20*m - 16. Let x be f(9). Let h(u) = 4*u - 7. Let d be h(x). Solve 0 = -w + 5*y + d, -w - 8 + 3 = y for w.
-4
Let j be (-2)/(-15) + (-3540)/(-450). Let q(k) = 5*k - 36. Let s be q(j). Solve -a + 15 = -4*n + 2*a, 2*n + 10 = s*a for n.
-3
Let j = 987 - 1396. Let c = j - -413. Solve 6*o - c*o = -4*g, o = -4*g - 2 for o.
2
Let c(n) = 2 + 2*n - 5*n - 6*n - 2*n. Suppose -3*z + 2 - 12 = -2*d, 4*d = 5*z + 16. Let p be c(d). Solve 3*k = -4*b - p, -5*k = -4*b - 3*k - 18 for b.
-4
Suppose -5*t = 25, 5*t - 8*t = b + 17. Let g be (b + 3)/(9/45). Solve -g*a - 5 = -5*z, 0 = -3*z + 5*a - 5 + 2 for z.
4
Suppose -4*n + 1324 + 332 = 0. Suppose 5*j - n = -j. Suppose -3*s + j = 42. Solve 5*y - 4*k = 7, 4*y - 3*k = 5*y - s for y.
3
Suppose 21*r = 26*r - 5*z - 5, 0 = -2*r - 4*z + 8. Solve p - 1 = 0, 0 = r*v - 69*p + 68*p - 5 for v.
3
Let y = -1942 + 1947. Let n be (-228)/(-18) + 4/(-6). Suppose -7*b + n = -3*b. Solve -b*x + 10 = 2*x - y*k, 6 = x - 2*k for x.
-2
Suppose 46*j - 256 = -82*j. Solve -5*z - j*b + 6 = 0, 49*z - 54*z - 3*b + 9 = 0 for z.
0
Suppose -3*b - 4*b = -1099. Let l = b + -155. Solve -l*w - 12 = w, 5*s - 4 = -4*w for s.
4
Let u(g) = 3*g + 5. Let w be u(-2). Let n be w/((-9)/27*3/4). Suppose 0 = -4*a - 3*h + 19, 2*a = -2*a + 4*h + 12. Solve -5*o = n*p - 0*o + 10, -a = -2*o for p.
-5
Suppose 2 = 5*x - 8. Let z(o) be the first derivative of o**4/4 + 2*o**3/3 - o**2/2 - 4*o + 1880. Let h be z(x). Solve 3*v + r = 7, -r - h = -5*v - 1 for v.
2
Let l be (6/5)/((-14)/(-105)). Suppose -3*j + 15 = l. Solve -5*h = 2*s + 15, -3*s - s - j*h = 6 for s.
0
Suppose -u - 4*y + 399 = 0, -y + 13 - 10 = 0. Let z = u - 387. Solve 16 = 2*w + 2*j - z*j, 5*j - 32 = -3*w for w.
4
Let g be ((-56)/20*-1 + -4)*50/(-15). Solve g*q - k = 24, 10*k = -2*q + 7*k - 2 for q.
5
Let b(s) = -11*s - 220. Let p be b(-29). Suppose a - p = -4*x, -14*x - 96 = -18*x - 4*a. Let l be 122/8 - 3/12. Solve -16 = 2*o - 5*c + l, -5*c + x = 0 for o.
-3
Let d(q) = 6*q**3 + 18*q - 19. Let l be d(1). Solve l = 5*n - 5*a, 5*n + 0*n - 2*a - 5 = 0 for n.
1
Let l = 180 - 189. Let x be l*(-4 + (-22)/(-6)). Solve -5*b = x*m - 15, -2*b + 2*m = -3*m + 25 for b.
0
Let g(i) be the first derivative of i**4/4 + i**3/3 - i**2/2 - 7*i - 67. Let n be g(3). Solve -4*y - 20 = 0, z + n = 4*y - 9*y for z.
-1
Suppose -44*u - 78 = -5*u. Let s = 7 + u. Solve -4*q + q = -g + 16, -s*q - 5*g - 20 = 0 for q.
-5
Let s be 39 + -28 + (1 - 4). Solve -s = -v + 2*w + 3, -4*w - 4 = 4*v for v.
3
Suppose 3*a - 8 = k, -4 = -2*a - 3*k + 4*k. Suppose 3*q = -5*b - 11, 2*q + 6 = -7*b + a*b. Solve 2*l = -q*w - 10, -5 + 18 = -4*w - 3*l for w.
-4
Let z be 1453/5 + (-16)/(-40). Let h = 293 - z. Solve h*o + 25 = -3*c, 5*o = -2 - 23 for c.
-5
Let h be 240/(-180)*(-3)/2. Solve -5*z - 5*g - h = -7, 0 = 2*g - 6 for z.
-2
Let y(s) = s**2 - 9*s - 627. Let a be y(30). Solve -3*m + a*k - 223 = -220, -4*m = -2*k + 10 for m.
-4
Let t be (-2)/(-3) - (0 - (-12)/(-9)). Suppose -10 = t*r - r. Let c be (-12)/(-10)*5*(-15)/r. Solve -5*f = 2*k + 31, -16 = 5*f + c for k.
-3
Let h(v) = -205*v - 22. Let s be h(-1). Let t = s + -180. Solve -2*i + 1 = 4*o - 1, -t*o + i + 14 = 0 for o.
3
Suppose 20*y - 45 = -21 + 16. Solve -5*w = -y*r - 22, 2*r + 15 = -r + 3*w for r.
-1
Suppose 4*z + u = -71, 3*z - 9*u + 77 = -5*u. Let i be (-14)/(-2) - 0/z. Solve -p + 2*g = -4*p + 5, -5*p = 2*g - i for p.
1
Suppose 587*a = 584*a + 12. Suppose 4*q + a*o - 20 = -4, 20 = -2*q + 5*o. Solve 2*f = 6*f - 3*y + 12, q = 4*f + 3*y - 12 for f.
0
Suppose 0 = 9*u - 1517 + 1364. Solve -j + 3*b = 5, 29 = -14*j + u*j + 2*b for j.
7
Let f be 4 + 1 - (3 + -3 + 3). Solve -30*i + 2 = -f*t - 31*i, -18 = 5*t - 4*i for t.
-2
Suppose -90 + 222 = 12*f. Suppose -82 - 17 = -f*v. Solve 4*x + v = -j, 2*j - 1 = -3 for x.
-2
Let t(j) = 10*j + 161. Let w be t(2). Solve -2*g - 5 = 3*y, w*y - 8 = g + 177*y for g.
-4
Let k(c) = 18*c - 235. Let b be k(28). Let d = b - 262. Solve -y + r - d = 0, 2*y - 1 = -3*y - 4*r for y.
-3
Let r be (91/26 - 6)*172/(-10). Let b = r - 40. Solve -3*p = -4*t + 3*t + 16, 0 = 2*t - b*p - 20 for t.
4
Let x(w) = -230*w + 1611. Let s be x(7). Solve -i = 5*k + s, 5*i + 3 = -3*k - 2 for k.
0
Let o(z) = -233*z - 3959. Let m be o(-17). Solve -4*l = -2*w + 12, -2*w - 9 = 3*l + m*w for l.
-3
Suppose 3*i = -2*x, -4*i = -20*x + 23*x. Suppose x = -1012*k + 1005*k. Solve k = -q + 5*o + 3, 5*q - 4*o + 11 = -5*o for q.
-2
Let c be 5/7*5 - 15/(-35). Let f be 12/(-30) - (18/15)/2. Let i be c - -3*f/(-3). Solve 0*d - d + 6 = i*k, 4*d = 2*k + 2 for k.
1
Let u = -560 - -576. Solve 4*x + 8 = -4*i, 2*x + i + 4*i = -u for x.
2
Let g = -533 + 538. Solve -20 = g*n - 5*d, -5*d + 9 = -4*n - 12 for n.
1
Suppose -4*v + 4*t = -48, 0 = -5*t - 0*t + 10. Suppose v*d - 6 = -w + 13*d, 3*w - 5*d = 10. Solve 0 = -2*z + 5*y + 20, 5*z + w = 2*y + 13 for z.
0
Suppose 28*n - 68 - 16 = 0. Suppose 24 - 7 = 3*u - 2*c, n*u - 16 = c. Let h be (-11)/(-3) + 2/(-3). Solve 2*k - 16 = u*i, -h*i + 4*k + 1 = 5 for i.
-4
Suppose -7*f + 3*f + 20 = 0. Suppose -448*z = -9*z - 90 - 1227. Solve 5*x + o = -z*o + f, -3*o = 4*x - 5 for x.
5
Let r = 2 + -39. Let w be (-12)/(-1) + 34 + r. Solve -w*b = -5*q - 5*b - 10, -q - 2*b = -12 for q.
2
Suppose -30 = -2*n - 4*n. Suppose 0 = -n*s - 5*v + 3*v, -5*s = -4*v - 30. Solve -m + 0 = -2*r + 3, | {
"pile_set_name": "DM Mathematics"
} |
r rounded to the nearest 1000000?
2000000
Let r = 38 - 37.876. Let p = -876.596 - -874. Let l = p - r. What is l rounded to one decimal place?
-2.7
Let k(q) = -q**3 - 5*q**2 - 7*q + 2. Let m be k(-3). Suppose 0 = 3*y + m*s - 4259995, 5*s = y - 6*y + 7099995. What is y rounded to the nearest 100000?
1400000
Let x(u) = -87*u - 3. Let o be x(-7). Let h = o - 259. What is h rounded to the nearest ten?
350
Let h = -144.7 + 128. Let g = h + 16.69999904. What is g rounded to 7 decimal places?
-0.000001
Let v = 79 - 18. Let q = -1 - v. Let u = q + 61.9957. Round u to three decimal places.
-0.004
Suppose -t - 3*t + 3*n = 947, -3*n = 5*t + 1204. Let r be 10/(-5) - (t + 0)*-82. Round r to the nearest one thousand.
-20000
Let n(i) = i**2 - 16*i + 19. Let w be n(15). Let y(l) = 3*l + 17 - 7*l - w*l. Let d be y(7). What is d rounded to the nearest 10?
-40
Let k = -36039073 - -52839073. Round k to the nearest 100000.
16800000
Suppose -11*g + 943906 + 622494 = 0. What is g rounded to the nearest 10000?
140000
Suppose 165*v = 4*w + 160*v - 944000, -4*v + 1180000 = 5*w. What is w rounded to the nearest one hundred thousand?
200000
Let m(t) = t + 18. Let y be m(-5). Suppose -5*s + y + 22 = 0. Suppose 148 = s*f - 3*f. What is f rounded to the nearest 10?
40
Let o = 364.9999994 - 365. What is o rounded to 5 decimal places?
0
Let x(f) = 4*f**2 + f - 2*f + 37627*f**3 + 104 - 106. Let c be x(-2). What is c rounded to the nearest ten thousand?
-300000
Let a = 1554813.549718 + -1554812. Let l = a - 1.55. What is l rounded to five dps?
-0.00028
Let w = 3374 + -2153. Let x = w + -1220.999999509. Round x to 7 decimal places.
0.0000005
Let o = 10.9 + -9. Let n = o - 3.1. Round n to the nearest integer.
-1
Let n(f) = 2*f + 16. Let x be (-58)/7 + 4/14. Let q be n(x). Suppose q = -4*m - 695203 - 22904797. Round m to the nearest 1000000.
-6000000
Let o = 372689371991975.72000044 - 372689381009572. Let b = o + 9017596. Let x = 0.28 + b. What is x rounded to seven decimal places?
0.0000004
Let p = -1113147.00043 - -1113119. Let c = 27.877 - -0.123. Let d = p + c. What is d rounded to four dps?
-0.0004
Let b(w) = 22964*w**2 + 10*w + 6. Suppose 53 = -5*u - 2*n, -17 = u - n + 3*n. Let i be b(u). What is i rounded to the nearest one hundred thousand?
1900000
Let a = 1.025 + -1.105975. Let g = -0.081 - a. Round g to four decimal places.
0
Let d = -146 + 145.8969. Let s = -0.1 - d. Round s to three dps.
0.003
Let h = -0.109 - 0.461. What is h rounded to the nearest integer?
-1
Let u = -0.064 + -1.336. Let l = -0.9750368 - 0.4249626. Let k = l - u. Round k to seven dps.
0.0000006
Let g(t) = 73*t + 23. Let x be g(4). Round x to the nearest 10.
320
Let g = -1256.4708 + 1256. What is g rounded to two decimal places?
-0.47
Let i = 647738.70019 - 647677.7. Let t = i - 61. What is t rounded to 5 dps?
0.00019
Let y = 233 + -35. Let m = y - 196.51. Let q = m + -1.4. Round q to 1 decimal place.
0.1
Let d = -6 - -11. Let n = 351 + -346.22. Let t = d - n. Round t to one decimal place.
0.2
Let r = 24 - 19. Let x = r + -5.034. Round x to 2 dps.
-0.03
Let v be (1 + 1349)/((-18)/108000). Round v to the nearest 1000000.
-8000000
Let n = -489 - -488.8293. Let y = n - -0.164. Round y to two dps.
-0.01
Let d = -13999.9720112 + 14000. Let x = d - 0.028. What is x rounded to 6 dps?
-0.000011
Let o(v) = v**3 + 18*v**2 + 42*v + 21. Let b be o(-10). What is b rounded to the nearest ten?
400
Let m(v) = -v - 11. Let p be m(-13). Let y be (-7 - (-1 + p))*685*-500. Round y to the nearest one hundred thousand.
2700000
Let t = 3.8 - 9. Let c = t - 1.8. Let g = 6.962 + c. Round g to 2 decimal places.
-0.04
Let s(j) = -1 - j**2 + 8 - 5 + 16*j. Let v be s(11). Suppose 3*z = -258 + v. What is z rounded to the nearest 10?
-70
Let p be (-9995340)/(-3)*-1 - -1. Suppose 86*u + 70222453 = 79*u. Let b = p - u. What is b rounded to the nearest one million?
7000000
Let x = -8742 - -3407. Round x to the nearest 1000.
-5000
Suppose -5*i + 180205946 = -4*j, -i + 4*i + 3*j - 108123573 = 0. Let n = -22041190 + i. What is n rounded to the nearest 1000000?
14000000
Let s(w) = -w**3 - 10*w**2 - 11*w - 17. Let f be s(-9). Let d be (120000/(-7))/(f + (-2105)/2100). Round d to the nearest one million.
7000000
Let v = -3357 - -5856. Round v to the nearest 100.
2500
Let y = 123.71648 - 123.7. What is y rounded to two dps?
0.02
Let g = -278 + 405. Let c = -102.2 + g. What is c rounded to the nearest integer?
25
Let t = 1.049975 - 1.05. Round t to six decimal places.
-0.000025
Let l = -1.827 + 1.8. Let n = l + 0.002. Round n to 2 decimal places.
-0.03
Let n = -0.23684 - -0.2353989. What is n rounded to 4 dps?
-0.0014
Let k = 1539.2 - 3609.25. Let w = k + 2029. Let t = -42 - w. Round t to one decimal place.
-1
Let q = 3415519 + -6290748. Let l = -1945229 - q. What is l rounded to the nearest one hundred thousand?
900000
Let f = -6745161249 - -6747300961.9927. Let q = 2139574 - f. Let u = q + 139. Round u to 3 dps.
0.007
Let q(t) be the first derivative of -t**3/3 - 19*t**2/2 + 10*t + 33. Let l(y) = -4*y + 1. Let w be l(4). Let g be q(w). Round g to the nearest ten.
70
Let z = 254 + -253.58. Round z to 1 decimal place.
0.4
Let a = 61 + -59. Suppose 0 = a*s - 5*f + 1564324 - 274309, -3*s - 1934991 = 3*f. Round s to the nearest one hundred thousand.
-600000
Let f = -594461 - -594336.9714. Let s = f + 124. What is s rounded to three dps?
-0.029
Let t(m) = -3054*m + 20. Let u be t(2). What is u rounded to the nearest one hundred?
-6100
Let v = 74019.01236690068 - 2426268903.01238300068. Let k = 2426194728 + v. Let x = k + 156. Round x to six dps.
-0.000016
Let b = 1678.48 + -1644. Let h = b + -34. Round h to one decimal place.
0.5
Let x = 5693.7279 + -5694. Let h = x - -51.2525. Let p = h - 51. Round p to 3 dps.
-0.02
Let u = -69.06 + 69.13782. What is u rounded to three dps?
0.078
Suppose -3*j - 5 + 14 = 0. Suppose 0 = -j*s - 41557047 + 12157047. What is s rounded to the nearest one million?
-10000000
Let x(a) = 28999*a**2 + 6*a + 7. Let p be x(-1). What is p rounded to the nearest 100000?
0
Let l = -94 - -90.96. Let k = l + 4.63. What is k rounded to one decimal place?
1.6
Let j = 112 - -12. Let x = -14364654659.99999847 - -14364654784. Let n = x - j. What is n rounded to seven dps?
0.0000015
Let i = 3.15 - 149.15. Let x = 146.000073 + i. What is x rounded to 5 decimal places?
0.00007
Let o = 0.546314231 - 8794.616024231. Let x = o - -8794.8. Let h = x + -0.73. Round h to four decimal places.
0.0003
Let s = 1588466 + -1588465.91900049. Let t = -111.919 + 112. Let m = t - s. Round m to seven dps.
0.0000005
Let s = 83 - 165. Let q = s + 72. What is q rounded to the nearest ten?
-10
Let t = 2712.9999999624 - 2713. What is t rounded to 7 decimal places?
0
Let j = -13.31 + 11.17. Round j to 2 decimal places.
-2.14
Let k = -1773 - -3993. What is k rounded to the nearest one hundred?
2200
Let f = -805 - -804.99999493. What is f rounded to 6 decimal places?
-0.000005
Let y = 26 - 3. Let g = 23.000004 - y. What is g rounded to five decimal places?
0
Let u = 576 - 575.9437. Round u to 2 decimal places.
0.06
Let m = -1.21 + 0.328. Round m to one dp.
-0.9
Suppose -3*r + 1396 = -4*k + 3*k, 4*r = 4*k + 1872. Round r to the nearest 100.
500
Let o = 2.2889 + 0.0811. Round o to 0 decimal places.
2
Suppose -4*d + g + 56517 = -14721, -2*g + 71244 = 4*d. What is d rounded to the nearest one thousand?
18000
Let m = 2535.98947 + -2536. What is m rounded to four dps?
-0.0105
Let z(m) = -m. Let v be z(-3). Let x be (3 - v) + 9800001 + -1. Round x to the nearest one million.
10000000
Let v be -5 + ((-40)/(-4) - -3). Suppose n + 6 = v, 0 = -2*u + 3*n - 17600006. Round u to the nearest 1000000.
-9000000
Let c = 1114.999996473 + -1115. What is c rounded to seven decimal places?
-0.0000035
Let n = -45.5 + 45.500275. Round n to 4 dps.
0.0003
Let y = -42063 + 42101.098. Let j = -37.975 - 0.025. Let i = j + y. What is i rounded to two decimal places?
0.1
Let q = 1606.98 + -1575. Let g = 32 - q. Let b = 0.08 - g. Round b to 2 decimal places.
0.06
Let v = -74997 - -85027.12. Let i = v - 10029.83000094. Let b = -0.29 + i. Round b to seven dps.
-0.0000009
Let h be (-11 + 16 - 11) + 21000006. Round h to the nearest 1000000.
21000000
Let i(y) = -6*y**3 + 10*y**2 - 5*y + 12. Le | {
"pile_set_name": "DM Mathematics"
} |
3
Solve 0 = -11*h - 105*h for h.
0
Solve 3 = 32*c - 35*c for c.
-1
Solve 0 = 4*q - 17 + 29 for q.
-3
Solve 8*b - 78 = -6 for b.
9
Solve 0 = 2*c - 4 + 8 for c.
-2
Solve 14 = -109*g + 102*g for g.
-2
Solve -421*f - 14 = -428*f for f.
2
Solve -1296*s + 1298*s = 4 for s.
2
Solve -12*w + 9*w = -15 for w.
5
Solve -32*w - 208 = -240 for w.
1
Solve 76*v = 83*v + 7 for v.
-1
Solve 0 = 2*h + 25 - 29 for h.
2
Solve 333 - 88 = -35*f for f.
-7
Solve 0 = 67*p - 11*p - 56 for p.
1
Solve -37 = -4*u - 57 for u.
-5
Solve 0 = 76*y - 70*y - 18 for y.
3
Solve 576 - 591 = 5*l for l.
-3
Solve 0 = -6*v + 17 + 7 for v.
4
Solve 49*p = 37*p - 96 for p.
-8
Solve 14 = -275*z + 261*z for z.
-1
Solve 3*t + 117 - 102 = 0 for t.
-5
Solve 0 = 8*q - 41*q + 33 for q.
1
Solve -175*d - 7*d - 1638 = 0 for d.
-9
Solve 0 = 3*j - 5*j - 4 for j.
-2
Solve 19*g + 8 = 46 for g.
2
Solve -19*k + 105 - 181 = 0 for k.
-4
Solve 209*s - 223*s + 42 = 0 for s.
3
Solve 0 = -2959*c + 2967*c + 16 for c.
-2
Solve 14*q - 548 = -436 for q.
8
Solve 111 = 135*f - 24 for f.
1
Solve 7*c - 5 = 2 for c.
1
Solve 188*q + 25 = 183*q for q.
-5
Solve 59*h + 42 = 66*h for h.
6
Solve -38*d = -22*d - 21*d for d.
0
Solve -6*p = -7 - 23 for p.
5
Solve -640*r + 631*r = 9 for r.
-1
Solve 3*a - 7 - 2 = 0 for a.
3
Solve 3 + 2 = n for n.
5
Solve -4*o = 2*o - 24 for o.
4
Solve 0 = 14*c - 3*c for c.
0
Solve -12*x + 46 + 62 = 0 for x.
9
Solve 39*y - 277 + 316 = 0 for y.
-1
Solve 26 = 145*y - 158*y for y.
-2
Solve -2*u - 1820 = -1824 for u.
2
Solve 2*p - 78 = -86 for p.
-4
Solve 53 + 17 = -14*h for h.
-5
Solve -19 = -7*v - 47 for v.
-4
Solve 8*p + 4*p - 36 = 0 for p.
3
Solve -16 = 9*u + 20 for u.
-4
Solve -2*n - 73 = -65 for n.
-4
Solve 0 = 25*m + 2*m - 54 for m.
2
Solve 0 = 38*h - 10*h + 84 for h.
-3
Solve -28*f + 3 = -27*f for f.
3
Solve -10*r - 30*r = 80 for r.
-2
Solve -23*l = -30*l - 35 for l.
-5
Solve 2222 = 24*i + 2030 for i.
8
Solve 31*a + 45 + 79 = 0 for a.
-4
Solve 8*r + 17 = 33 for r.
2
Solve -2*v + 5*v = -6 for v.
-2
Solve -2*f = -4*f - 6 for f.
-3
Solve -254*v = -253*v + 5 for v.
-5
Solve -13*o + 8*o - 25 = 0 for o.
-5
Solve -159*x = -162*x + 6 for x.
2
Solve 382*i = 365*i - 85 for i.
-5
Solve 0 = 120*z - 149*z + 29 for z.
1
Solve 51*j + 378 = -3*j for j.
-7
Solve 0 = 8*t + 3*t - 44 for t.
4
Solve 21*a - 9 - 75 = 0 for a.
4
Solve 18*g + 12 + 24 = 0 for g.
-2
Solve -186 = -22*a - 32 for a.
7
Solve 22*h - 25 = 17*h for h.
5
Solve -4*s + 1 = -3 for s.
1
Solve 878*t - 901*t = 138 for t.
-6
Solve 35*h + 172 = -108 for h.
-8
Solve 5 = 8*l - 3 for l.
1
Solve -236 + 240 = -2*q for q.
-2
Solve 18 - 16 = -2*m for m.
-1
Solve 0 = -15*h + 9 - 39 for h.
-2
Solve -42*p = -88 - 80 for p.
4
Solve 108 = 27*b - 54 for b.
6
Solve -24 = -5*a - 4 for a.
4
Solve -3*t = -11*t - 32 for t.
-4
Solve 9*a = 3 - 12 for a.
-1
Solve 20*l + 102 = 3*l for l.
-6
Solve -7 = 11*u + 4 for u.
-1
Solve 0 = -6*r + 5*r for r.
0
Solve 84 = -6*o + 27*o for o.
4
Solve -10*r - 119*r = 0 for r.
0
Solve -138 - 2 = 28*d for d.
-5
Solve -l - 4 = l for l.
-2
Solve -20*a + 28 - 128 = 0 for a.
-5
Solve -2*w + 0*w = 3*w for w.
0
Solve 28*v - 25*v + 9 = 0 for v.
-3
Solve -5*d = -31 + 6 for d.
5
Solve 5*i + 0*i = -10*i for i.
0
Solve -55*c = -61*c for c.
0
Solve -120 = -32*l - 8*l for l.
3
Solve 6*p = 8 - 2 for p.
1
Solve 928*z - 901*z = -54 for z.
-2
Solve 202 = -3*t + 199 for t.
-1
Solve -26*f + 0 = 52 for f.
-2
Solve -326*g + 273*g = 159 for g.
-3
Solve -10*o + 420 - 320 = 0 for o.
10
Solve -173*l + 175*l + 4 = 0 for l.
-2
Solve -15*s + 123 = -27 for s.
10
Solve -38*b = -61*b for b.
0
Solve -892*w + 49 = -885*w for w.
7
Solve f - 149 = -144 for f.
5
Solve 9*o + 2 - 11 = 0 for o.
1
Solve -27*i - 4 = -25*i for i.
-2
Solve 0 = 69*x - 66*x - 3 for x.
1
Solve -5*o + 0*o + 20 = 0 for o.
4
Solve -9*g = 8*g for g.
0
Solve 0 = 25*h - 213 - 37 for h.
10
Solve -190 = 58*y + 158 for y.
-6
Solve -12*b + 15*b = 18 for b.
6
Solve 25*n - 4 = 21*n for n.
1
Solve -50*l = -54*l + 8 for l.
2
Solve -9 = 7*f - 23 for f.
2
Solve 0 = -8*t + 1070 - 1142 for t.
-9
Solve 0 = 11*f - 45 + 1 for f.
4
Solve 1881 - 1885 = -k for k.
4
Solve 29*z + 56 = -31 for z.
-3
Solve -9*a + 47 = 65 for a.
-2
Solve 29*j + 2 = 27*j for j.
-1
Solve 0 = 9*v + 31*v for v.
0
Solve -37 = 95*c - 892 for c.
9
Solve -16*v = 7*v - 92 for v.
4
Solve -22*x - 10*x + 192 = 0 for x.
6
Solve 4913 = 4*b + 4893 for b.
5
Solve -5*r = -86 + 111 for r.
-5
Solve 12 = -16*q + 19*q for q.
4
Solve 6*u = 16*u - 11*u for u.
0
Solve 3 = 148*f - 145*f for f.
1
Solve 7*t + 7 = 14*t for t.
1
Solve 20 = -8*b + 4*b for b.
-5
Solve -29*q + 46 = -70 for q.
4
Solve 4 = 2*l + 6 for l.
-1
Solve -47*n = -16 - 266 for n.
6
Solve 0 = -925*c + 926*c + 6 for c.
-6
Solve 0 = 17*a - 3*a + 70 for a.
-5
Solve -t - 6*t = 7 for t.
-1
Solve -2*t - 8 = 6*t for t.
-1
Solve -5*f - 17 - 8 = 0 for f.
-5
Solve 3*k = 3*k - 3*k for k.
0
Solve -76 = l + 18*l for l.
-4
Solve 0 = 9*c - 6*c - 9 for c.
3
Solve 17*b = 3*b + 56 for b.
4
Solve 48*p + 7 = 55*p for p.
1
Solve 24*a - 22*a - 10 = 0 for a.
5
Solve 24*d + 65 = 11*d for d.
-5
Solve 17*o - 41*o = -120 for o.
5
Solve -21*m + 36*m - 90 = 0 for m.
6
Solve 0 = -25*b + 192 - 142 for b.
2
Solve 637*x = 643*x - 30 for x.
5
Solve 0*t = -6*t - 18 for t.
-3
Solve 0 = 8*n - 3*n - 15 for n.
3
Solve 3*i - 15 = -12 for i.
1
Solve -20 = -8*k - 84 for k.
-8
Solve 286*v = 301*v + 60 for v.
-4
Solve 11*r + 28*r = 8*r for r.
0
Solve -27*q - 90 = -9*q for q.
-5
Solve 0 = 2*z - z - 2 for z.
2
Solve 0 = 22*d - 65*d for d.
0
Solve 5 = 5*c + 15 for c.
-2
Solve -13 = 33*z - 20*z for z.
-1
Solve 38*j = -30 + 68 for j.
1
Solve 0 = 4*g + 10 + 2 for g.
-3
Solve 12 = -25*b + 29*b for b.
3
Solve 33 = -48*w - 159 for w.
-4
Solve -12*u = 3*u - 90 for u.
6
Solve 0 = 33*m - 460 + 130 for m.
10
Solve -15*g - 14 = -g for g.
-1
Solve 25 = 3*q + 2*q for q.
5
Solve -9 + 1 = 4*j for j.
-2
Solve 0 = -2*o + 8*o + 36 for o.
-6
Solve -10 = -3*v - 10 for v.
0
Solve 5*c = 35 - 30 for c.
1
Solve 22*y = 2*y + 100 for y.
5
Solve 0 = 36*u + 5*u - 41 for u.
1
Solve -34 = -3*a - 19 for a.
5
Solve -3*w + 2 + 10 = 0 for w.
4
Solve 7*p = -0*p for p.
0
Solve 14*t - 22 = 3*t for t.
2
Solve c + 10*c = -55 for c.
-5
Solve -24*l + 25*l - 5 = 0 for l.
5
Solve 0 = 2*i + 18 - 12 for i.
-3
Solve 12*o - 2*o + 40 = 0 for o.
-4
Solve -9*t + 10 + 17 = 0 for t.
3
Solve 32*u - 344 = 75*u for u.
-8
Solve 0 = 2*l + 5*l - 21 for l.
3
Solve -11*z + 4*z - 21 = 0 for z.
-3
Solve -18*r = -9*r - 9 for r.
1
Solve -15*d + 21 = -9 for d.
2
Solve -7 = -2*i - 3 for i.
2
Solve -8*p - 21*p + 290 = 0 for p.
10
Solve -4*l + 6 = -2 for l.
2
Solve 4*i - 2 = 2*i for i.
1
Solve -3 = -4*n + 7*n for n.
-1
Solve 8*r = 7*r for r.
0
Solve -9 + 13 = -w for w.
-4
Solve 36*g - 33*g - 15 = 0 for g.
5
Solve -6*b + 4 = -7*b for b.
-4
Solve -7*v - 3*v = -10 for v.
1
Solve -8*r - 10*r = 108 for r.
-6
Solve 0 = 5*d - 7*d for d.
0
Solve -8*a + 8 = 24 for a.
-2
Solve -13 = 52*j - 325 for j.
6
Solve -14911*j + 16 = -14903*j for j.
2
Solve 0 = 51*t - 46*t + 25 for t.
-5
Solve -62*h + 72*h = -10 for h.
-1
Solve 4*c = -32 + 16 for c.
-4
Solve -131*h = -98*h - 198 for h.
6
Solve 3*j = -14 - 1 for j.
-5
Solve 4*u + 4 = 3*u for u.
-4
Solve -18*y = -36*y + 18 for y.
1
Solve l + 3 = 6 for l.
3
Solve 0*y = -8*y - 16 for y.
-2
Solve 9*q - 7 = 8*q for q.
7
Solve 7*o - 475 = -475 for o.
0
Solve 41*k - 49*k - 40 = 0 for k.
-5
Solve -296 + 350 = 9*c for c.
6
Solve 3973*r - 3974*r = 10 for r.
-10
Solve 215 = 14*n + 313 for n.
-7
Solve -4*v + 17 - 29 = 0 for v.
-3
Solve -4*u + 5*u = 2*u for u.
0
Solve 0 = 11*c + 5*c - 16 for c.
1
Solve 297 = -119*w - 774 for w.
-9
Solve -64 + 73 = -3*s for s.
-3
Solve 46 - 100 = -9*w for w.
6
Solve 13 = 8*n - 19 for n.
4
Solve 51*q - 48*q = -24 for q.
-8
Solve -41 + 6 = -7*z for z.
5
Solve -3*b + 56 = -17*b for b.
-4
Solve 53*i - 56*i = 3 for i.
-1
Solve -142 = -4*z - 158 for z.
-4
Solve -30*w + 5 - 65 = 0 for w.
-2
Solve -13*z = 6*z + 209 for z.
-11
Solve 203*u = 217*u + 28 for u.
-2
Solve 9*d = -9*d for d.
0
Solve -6 = -o - 7 for o.
-1
Solve -144*z - 80 = -154*z for z.
8
Solve 3 + 37 = -8*y for y.
-5
Solve -694*w + 25 = -689*w for w.
5
Solve 40*o + 113 = -7 for o.
-3
Solve -4*o = -258 + 290 for o.
-8
Solve 0 = 16*r + 77 + 51 for r.
-8
Solve q = -6*q for q.
0
Solve -2*t + 5 = 9 for t.
-2
Solve 13*u | {
"pile_set_name": "DM Mathematics"
} |
0
What is next in 125564, 1004496, 3390184, 8036018, 15695388?
27121684
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-142071
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122949
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1773942
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541463
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39533525
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What is the next term in 1429459, 5717826, 12865103, 22871290, 35736387, 51460394?
70043311
What is next in -4523, -36015, -121443, -287759, -561915?
-970863
What is next in 5388765, 10777520, 16166275, 21555030, 26943785?
32332540
What is next in -61591, -61635, -61699, -61777, -61863, -61951, -62035, -62109?
-62167
What is next in -2514707, -10058812, -22632327, -40235258, -62867611, -90529392?
-123220607
What comes next: -44372343, -44372332, -44372317, -44372298, -44372275?
-44372248
What is next in 1971490, 1971478, 1971466, 1971454?
1971442
What comes next: 2831, 7454, 15187, 26030, 39983?
57046
What comes next: 1317, 865, -399, -2883, -6995?
-13143
What is next in 146172, 292712, 439252, 585792, 732332, 878872?
1025412
What comes next: -5620, -11206, -16774, -22330, -27880?
-33430
What is the next term in -17946196, -17946197, -17946198, -17946199, -17946200?
-17946201
What is next in -1111799, -2223596, -3335385, -4447166, -5558939?
-6670704
What comes next: 10388, 10263, 10000, 9545, 8844, 7843, 6488?
4725
What is next in 128964609, 128964610, 128964611, 128964612, 128964613, 128964614?
128964615
What is next in 532277, 532508, 532739, 532970, 533201, 533432?
533663
What comes next: 911439, 3645765, 8202975, 14583069, 22786047, 32811909?
44660655
What comes next: -349919141, -349919152, -349919165, -349919180, -349919197, -349919216, -349919237?
-349919260
What comes next: -3347877, -3347948, -3348023, -3348102, -3348185, -3348272?
-3348363
What is next in -7272, -29051, -65380, -116259, -181688, -261667, -356196?
-465275
What is next in 15562, 16899, 18234, 19567, 20898, 22227?
23554
What comes next: 242912, 971628, 2186158, 3886502, 6072660?
8744632
What is next in -436576, -874303, -1312030?
-1749757
What comes next: 202531, 405021, 607511, 810001, 1012491?
1214981
What is next in -2, -1045, -4198, -10505, -21010, -36757?
-58790
What is the next term in 4782633, 4782634, 4782635, 4782636, 4782637, 4782638?
4782639
What comes next: 10423, 20893, 31389, 41923, 52507, 63153?
73873
What is next in 4572, 9049, 13526, 18003, 22480?
26957
What is next in -13765423, -27530855, -41296287, -55061719, -68827151, -82592583?
-96358015
What comes next: -58005, -57814, -57491, -57036, -56449, -55730?
-54879
What comes next: -108, -1504, -5254, -12534, -24520?
-42388
What comes next: 337800690, 337800689, 337800688, 337800687?
337800686
What comes next: 2291435, 2291397, 2291359, 2291321, 2291283, 2291245?
2291207
What comes next: -524102618, -5241026 | {
"pile_set_name": "DM Mathematics"
} |
2 p and 2 b when four letters picked without replacement from ppbyyyyyppppppypyby.
3/323
What is prob of picking 1 y and 2 l when three letters picked without replacement from lye?
0
Calculate prob of picking 1 r, 1 i, and 1 v when three letters picked without replacement from {v: 1, n: 1, d: 2, i: 4, r: 1}.
1/21
Three letters picked without replacement from yfdyfwdwwdffgwfffw. Give prob of picking 1 f and 2 w.
35/408
Two letters picked without replacement from dzdzzzddzdddd. What is prob of picking 2 d?
14/39
Calculate prob of picking 1 o and 3 m when four letters picked without replacement from hpugmoummughoumuuhoo.
16/4845
Three letters picked without replacement from btyvjyaavjyj. Give prob of picking 1 v, 1 b, and 1 a.
1/55
Two letters picked without replacement from mmmvvvmmvvmmvmvmmvvm. What is prob of picking 1 v and 1 m?
99/190
Four letters picked without replacement from {q: 1, k: 3, l: 3, w: 1, x: 2, v: 1}. What is prob of picking 1 x, 1 k, and 2 l?
3/55
What is prob of picking 4 f when four letters picked without replacement from {i: 9, f: 9}?
7/170
Two letters picked without replacement from nqpxqpxpp. Give prob of picking 2 x.
1/36
Four letters picked without replacement from {o: 5, h: 11}. What is prob of picking 2 h and 2 o?
55/182
What is prob of picking 1 k and 1 p when two letters picked without replacement from {k: 3, v: 6, h: 2, f: 4, p: 1}?
1/40
What is prob of picking 1 m, 1 t, and 1 b when three letters picked without replacement from eeettmhbhtteth?
5/364
What is prob of picking 2 l and 1 y when three letters picked without replacement from {c: 1, y: 1, l: 3, f: 4, v: 1, m: 6}?
3/560
Calculate prob of picking 1 i and 2 c when three letters picked without replacement from jjccjjjjciccjcijcici.
28/285
What is prob of picking 1 d, 1 l, and 2 h when four letters picked without replacement from {h: 2, r: 1, e: 4, l: 5, t: 1, d: 2}?
2/273
What is prob of picking 2 s and 1 u when three letters picked without replacement from ssuesueu?
9/56
Calculate prob of picking 2 u, 1 r, and 1 q when four letters picked without replacement from {u: 3, q: 2, r: 5}.
1/7
Two letters picked without replacement from pqqapqpqpq. Give prob of picking 2 p.
2/15
What is prob of picking 2 t and 1 y when three letters picked without replacement from {o: 2, t: 3, y: 3}?
9/56
Calculate prob of picking 3 e when three letters picked without replacement from {u: 3, e: 5, q: 1}.
5/42
Three letters picked without replacement from {k: 3, v: 9}. What is prob of picking 2 k and 1 v?
27/220
Two letters picked without replacement from mdid. Give prob of picking 1 m and 1 d.
1/3
Three letters picked without replacement from {v: 12, p: 3}. Give prob of picking 2 p and 1 v.
36/455
Calculate prob of picking 1 e and 3 h when four letters picked without replacement from heweeeheeewwhehheew.
25/969
Two letters picked without replacement from {v: 1, x: 4, b: 3}. Give prob of picking 1 b and 1 v.
3/28
Calculate prob of picking 1 z, 1 v, and 2 g when four letters picked without replacement from {g: 4, z: 3, p: 1, d: 7, h: 1, v: 2}.
1/85
Four letters picked without replacement from {b: 3, i: 4, z: 1}. What is prob of picking 2 b, 1 i, and 1 z?
6/35
What is prob of picking 1 k and 1 c when two letters picked without replacement from {c: 8, e: 1, d: 2, k: 1, w: 2, q: 6}?
4/95
Calculate prob of picking 1 u, 1 i, and 1 l when three letters picked without replacement from {i: 2, u: 1, q: 1, l: 2, y: 1, j: 1}.
1/14
Three letters picked without replacement from ztttzntnznct. Give prob of picking 1 n, 1 t, and 1 z.
9/44
What is prob of picking 2 s when two letters picked without replacement from {s: 2, r: 1, m: 2, w: 8}?
1/78
Calculate prob of picking 2 d and 1 n when three letters picked without replacement from dndddnddndd.
28/55
Two letters picked without replacement from xzzjzxzjzczzbcbxxc. What is prob of picking 1 z and 1 x?
28/153
What is prob of picking 1 y and 1 q when two letters picked without replacement from {q: 1, g: 5, l: 1, y: 4, c: 1}?
2/33
Three letters picked without replacement from {n: 10, d: 9}. Give prob of picking 2 d and 1 n.
120/323
Two letters picked without replacement from ffffafhahh. Give prob of picking 2 h.
1/15
Calculate prob of picking 3 k when three letters picked without replacement from {a: 3, k: 8, b: 3, w: 3}.
7/85
Two letters picked without replacement from drrrddrrdjdddjr. Give prob of picking 1 r and 1 j.
4/35
Two letters picked without replacement from inviiiiiinimnvnnimm. What is prob of picking 1 n and 1 i?
5/19
Calculate prob of picking 4 n when four letters picked without replacement from {f: 1, w: 6, n: 8, x: 1}.
1/26
Four letters picked without replacement from jxjxjxwxqq. What is prob of picking 3 j and 1 q?
1/105
Calculate prob of picking 2 v and 2 p when four letters picked without replacement from {v: 3, p: 4, z: 2}.
1/7
Three letters picked without replacement from {n: 1, o: 4, j: 6}. Give prob of picking 2 j and 1 n.
1/11
Calculate prob of picking 3 c when three letters picked without replacement from {b: 3, x: 2, y: 3, j: 3, c: 3}.
1/364
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {g: 4, l: 3}.
4/7
Three letters picked without replacement from zzcdzzzczdz. What is prob of picking 1 z and 2 c?
7/165
Calculate prob of picking 2 j and 1 h when three letters picked without replacement from {j: 5, l: 8, u: 4, h: 1}.
5/408
Two letters picked without replacement from {a: 15, k: 5}. Give prob of picking 2 a.
21/38
What is prob of picking 2 y when two letters picked without replacement from yxxxyblbyx?
1/15
Three letters picked without replacement from {g: 15, u: 5}. Give prob of picking 3 u.
1/114
Two letters picked without replacement from {a: 5, c: 9, j: 2}. What is prob of picking 2 j?
1/120
What is prob of picking 1 m, 1 r, and 1 e when three letters picked without replacement from {m: 2, r: 1, e: 1}?
1/2
Calculate prob of picking 1 m, 1 f, and 2 c when four letters picked without replacement from {k: 3, m: 9, c: 5, f: 1}.
1/34
Calculate prob of picking 1 t, 1 m, and 2 n when four letters picked without replacement from lintnllmnt.
1/35
Three letters picked without replacement from {v: 2, q: 2, w: 1, i: 2, e: 2, f: 3}. Give prob of picking 1 f and 2 q.
3/220
What is prob of picking 2 i when two letters picked without replacement from aiaaiaaaaia?
3/55
Two letters picked without replacement from {o: 5, g: 3}. Give prob of picking 2 o.
5/14
What is prob of picking 1 j and 1 c when two letters picked without replacement from scjscj?
4/15
What is prob of picking 2 k when two letters picked without replacement from kfkffkkk?
5/14
What is prob of picking 2 c when two letters picked without replacement from ycmyc?
1/10
What is prob of picking 1 j and 2 e when three letters picked without replacement from eqtjqqeeqqge?
3/110
Three letters picked without replacement from {g: 5, k: 4, s: 2, i: 2}. Give prob of picking 2 i and 1 s.
1/143
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzwjzzzwzz.
91/136
Calculate prob of picking 3 o and 1 r when four letters picked without replacement from nrnrncnoc.
0
What is prob of picking 1 c, 1 j, and 1 a when three letters picked without replacement from {c: 5, a: 4, j: 3}?
3/11
What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 2, l: 1, u: 4, b: 4}?
8/55
What is prob of picking 2 p and 2 q when four letters picked without replacement from ppyq?
0
Two letters picked without replacement from sgguz. What is prob of picking 1 z and 1 g?
1/5
Two letters picked without replacement from {t: 1, i: 2, o: 1, n: 2, d: 2, j: 1}. Give prob of picking 1 d and 1 n.
1/9
Four letters picked without replacement from {h: 2, t: 2, m: 1, e: 7}. What is prob of picking 3 t and 1 m?
0
Two letters picked without replacement from lhjl. What is prob of picking 1 l and 1 h?
1/3
Two letters picked without replacement from {a: 7, e: 3, t: 1, m: 3, w: 1, j: 2}. What is prob of picking 1 e and 1 t?
3/136
Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, e: 15}.
2/57
Four letters picked without replacement from szsszmspmzsppmsmsmk. What is prob of picking 3 s and 1 k?
35/38 | {
"pile_set_name": "DM Mathematics"
} |
19
Suppose 4*w = 4049 - 561. Calculate the greatest common divisor of w and 6758.
218
Suppose 5*s - 212 = 58. Suppose 18*t - s = 9*t. What is the highest common divisor of t and 14?
2
Let w = -344 - -340. Let y be (-17)/(-4)*(8 - (w - -8)). What is the highest common factor of 459 and y?
17
Let v(g) = -56*g + 1386. Let z be v(9). What is the greatest common factor of z and 49?
49
Let g(u) = -16*u**3 - 9*u**2 - 9*u - 16. Let w be g(-4). Suppose -1212*o + 1208*o + w = 0. Calculate the highest common factor of 9 and o.
9
Let q = 770 - 770. Suppose 4*k + 5*o - 2114 = 0, k - 2*o - 19 - 516 = q. Calculate the greatest common factor of k and 59.
59
Let w = -15351 - -15362. What is the greatest common divisor of w and 46?
1
Let w(g) = -823*g - 5742. Let u be w(-7). What is the highest common factor of 23294 and u?
19
Let v be (-8)/10 - 41356/(-245). Suppose -v*b + 33 = -157*b. What is the highest common factor of b and 237?
3
Let q be (-185)/((-6 - 124/(-24))*3). Calculate the greatest common divisor of 2516 and q.
74
Suppose 2520 = 187*a - 167*a. Calculate the highest common factor of 2688 and a.
42
Let v = -76 + 39. Let z = v - -57. Suppose 49 = 8*b + 17. What is the highest common factor of z and b?
4
Suppose m - 54 = -p, -p - 836*m + 834*m = -53. What is the highest common factor of p and 1485?
55
Let k be ((-11724)/(-84) - 3/(-7))*5. Suppose -q + 2*q = k. Calculate the greatest common divisor of q and 20.
20
Suppose -55 = -5*d + 5*q, -2*d + 4 = 2*q + 2. Suppose -d*w = -15*w + 198. What is the greatest common divisor of w and 66?
22
Let r(x) = 7*x**3 - 1474*x**2 - 620*x - 407. Let m be r(211). Calculate the highest common factor of m and 160.
32
Suppose -5*k - 19 = 4*x, -3*x + 8*x = 5*k - 35. Let c(j) = -12*j - 42. Let b be c(x). What is the greatest common divisor of b and 390?
30
Suppose 10 = -7*m + 9*m. Suppose -m*f + 53 = -42. Suppose 3*j = 2*u + 238, j - 2*u - 111 = -25. Calculate the greatest common divisor of j and f.
19
Suppose 79*z - 32 = 71*z. Let o(b) = 4*b**2 + 3*b + 4. Let x be o(z). What is the highest common divisor of x and 100?
20
Let s = -24 + 158. Suppose 0 = -4*q - 9*t + 12*t + 188, s = 3*q - 4*t. Calculate the greatest common factor of 2 and q.
2
Suppose -2*u = 4*q - 3836, 53*q - 57*q - 12 = 0. Calculate the highest common divisor of u and 444.
148
Let a(g) = -g**2 + g + 24. Let m be a(4). Suppose t - 5*f - 51 = 0, -3*t + 2*f = -0*t - 114. What is the greatest common divisor of t and m?
12
Suppose -3*r - 9 = 2*f + 2*r, 0 = f + 3*r + 6. Let g be 61 - (-9 + f + 7). What is the greatest common factor of 108 and g?
12
Let a = -63 + 98. Let d(m) = -m**3 - 16*m**2 + 12*m - 22. Let r be d(-17). Calculate the highest common factor of r and a.
7
Suppose m + 254 = 4*q + 3*m, 5*m = -3*q + 173. Suppose 9*a + q = -2*a. Let g = 18 - a. Calculate the highest common factor of 84 and g.
12
Let n(a) = -4*a**2 - a - 2. Let z be n(3). Let r = 40 + z. Let y be 15*(3 + (-3 - r)). Calculate the greatest common divisor of 5 and y.
5
Suppose 8 = g - 2*v, 3*g - 4*v + 2*v = 28. Suppose 340*f - 338*f - 209 = 131. What is the greatest common factor of g and f?
10
Let c = -248 + 290. Suppose -87*k + 93*k = c. Calculate the highest common divisor of k and 133.
7
Suppose 5*p + 538 = 4*u - 213, 0 = -u + 4. Let d be (2/(-2) - 102)/1. Let r = d - p. Calculate the greatest common factor of r and 66.
22
Let v = 20 + -10. Let h(w) = w**3 - 55*w**2 + 773*w - 346. Let k be h(28). What is the greatest common divisor of v and k?
10
Suppose -4*t + 2*r + 24182 = 0, r - 6028 = -t + 5*r. What is the highest common factor of 4 and t?
4
Let a be 2 + (-11)/(-44)*12. Suppose -12 = -2*q + 4. Suppose 2*r = -6 + q. Calculate the highest common factor of a and r.
1
Let i(g) = -4*g**2 - 52*g + 12. Let n be i(-13). Calculate the highest common divisor of 868 and n.
4
Suppose 5*y - 146*n + 151*n = 1040, -4*y + n + 842 = 0. What is the highest common factor of 810 and y?
30
Suppose 2*f - 31 - 17 = 0. Let b(g) = -2*g**2 + 31*g. Let l = 297 + -285. Let x be b(l). Calculate the highest common divisor of f and x.
12
Let g be (-2 + 0/(-1))/((-2)/(-3)). Let o be (4*(-3)/(-18))/(g/(-9)). Suppose -o*l = l - 147. What is the highest common factor of 7 and l?
7
Suppose 1145 = q - 5*p, 8*p + 2 = 9*p. Let m = q + -798. Calculate the greatest common divisor of 102 and m.
51
Suppose -3*c - 8 + 6 = 4*g, -2*g - 4 = 0. Suppose -6*s = -c*s - 12. Calculate the greatest common divisor of s and 25.
1
Let s(g) = 3*g**2 - 11*g - 26. Let a be s(-5). Suppose 45*d - 4535 = -1025. Calculate the greatest common divisor of d and a.
26
Let u be 162*((-35)/(-26) - 56/(-364)). What is the highest common factor of u and 54?
27
Let t be (-16)/56 - 37/(-7). Suppose 4*j - 2*k - 8 = 4, -t*k = -j + 12. Let a be (-4)/j + ((-3)/1 - -18). Calculate the highest common divisor of 117 and a.
13
Let a = 330 + -285. Suppose o = 86 - a. Calculate the highest common divisor of o and 41.
41
Suppose 0 = 5*a - 101 - 49. Let w(t) = 2*t**2 - 6*t + 10. Suppose 2*u - 3 - 3 = 0. Let b be w(u). Calculate the greatest common divisor of b and a.
10
Let o be 27/6 + 10/(-20). Suppose -o*j - 36 = -0*f - f, 4*f + 5*j = 207. What is the greatest common divisor of f and 32?
16
Suppose 0 = -4*b - 2*p - 6, 2*b - 3*p = -p - 12. Let h(a) = -a + 1. Let s be h(b). Let i be s/12*6 + 58. Calculate the greatest common divisor of i and 12.
12
Suppose 604862 - 9682 = 38*l - 406310. Calculate the highest common divisor of 105 and l.
105
Let z(b) = 42*b**2 - 13 + 6 - 8*b**2 - 3*b + 13*b**2. Let o be z(-2). What is the highest common factor of o and 17?
17
Let i(k) = 2*k**3 - 110*k**2 + 5*k - 243. Let h be i(55). What is the highest common factor of h and 208?
16
Let a be 113 - (-2 + 1) - -1. Suppose 0 = r - 4*b + 1328, 216*r + 5312 = 212*r + 5*b. Let t = -1305 - r. What is the greatest common divisor of t and a?
23
Let s(k) = -2*k**3 - 3*k**2 + 2*k + 8. Let x be s(-4). Suppose -23*a + 18*a + x = 0. What is the highest common factor of a and 1?
1
Let m be (3 - -4) + 7 + 15/5. Let o = 402 - -193. Suppose -2*n - 3*n = -o. What is the greatest common divisor of n and m?
17
Let p be 0 + 4/(-18) - ((-476)/36 + 12). What is the greatest common factor of p and 911?
1
Let m(n) = 23*n - 232. Let t be m(10). Let h be ((-55)/5)/(t/14). What is the highest common divisor of 924 and h?
77
Suppose -3*c + 5 = k, -c + 2*k - k - 5 = 0. Suppose -2*y - y + 132 = c. Let b = 84 - y. Calculate the highest common divisor of 16 and b.
8
Let r = 8830 + -2008. Calculate the highest common factor of 36 and r.
18
Suppose -5*n = -2*i + 1461, -i + n = -795 + 69. Suppose 13*y - 3125 = i. What is the greatest common factor of 37 and y?
37
Let w be 25267/5 - 882/630. Calculate the greatest common factor of 6 and w.
6
Let x = -54 - -145. Suppose -5*g + k + 99 = -3*k, -5*g - 4*k + x = 0. Calculate the greatest common divisor of g and 133.
19
Let j(c) = -c**3 - 12*c**2 - 15*c - 137. Let i be j(-12). What is the highest common factor of 86516 and i?
43
Suppose 47*f + 411 = 1257. Calculate the greatest common divisor of f and 2799.
9
Suppose 4*i - m - 5850 = 0, -26*m + 24*m + 2930 = 2*i. Calculate the greatest common factor of i and 532.
133
Let y(i) = i**2 + 25*i - 260. Let t be y(-33). Calculate the highest common divisor of t and 2188.
4
Let b be ((-756)/(-630))/(0 + 6/35020). Calculate the greatest common divisor of b and 68.
68
Suppose 25 = -0*x + x. Suppose z + 2*f + 15 = 2*z, z = 4*f + x. Let v be (-4)/(-148) + (-23822)/(-1591). What is the greatest common divisor of z and v?
5
Let l = -10261 - -11054. Calculate the highest common divisor of l and 208.
13
Let t(m) = 4*m**3 + 17*m**2 - 143*m - 28. Let b be t(11). Calculate the highest common divisor of b and 20.
20
Let u be 12027/133 - (-24)/(-56). Let i = 44 + 91. What is the highest common divisor of i and u?
45
Let a(o) = 7*o - 203. Let k be a(26). Let l be (-34760)/(-168) + (-2)/k. Calculate the greatest common factor of 92 and l.
23
Let l be 3/(-12) + 22/(-8). Let u(x) = -x**3 - x**2 + 5*x + 3. Let b be u(l). Suppose 12*y - 10*y = 12. Calculate the greatest common factor of y and b.
6
Let h = -455 + 296. Let z = -133 - h. What is the highest common factor of 143 and z?
13
Let n(q) = 3*q - 26. Let k be ((-38)/10)/(2/(-20)). Let f be | {
"pile_set_name": "DM Mathematics"
} |
(-2)/154)
-28
What is (-64)/80*(-100)/(-40)?
-2
What is (-16)/(-414)*54/(-72)?
-2/69
What is the value of ((308/(-33))/(-28))/(22/18)?
3/11
What is 1326/68*2/12*-4?
-13
(-6*(-28)/(-504))/(1/(-11))
11/3
What is the value of (-19)/(456/84)*40/28?
-5
Evaluate (84/(-36))/((-20)/30*3/6).
7
What is (((-1)/5)/((-2)/5))/(870/(-2175))?
-5/4
Calculate 236/2124*(297/3)/1.
11
Evaluate (((-900)/105)/15)/4.
-1/7
Calculate 7*(11825/(-77))/43.
-25
Calculate (((-10)/6)/(165/22))/(6/(-756)).
28
Calculate 1*2*(-272)/32.
-17
Calculate ((-11)/((-55)/90))/(3/(27/(-18))).
-9
What is the value of ((2*1)/((-24)/18))/((-324)/(-3024))?
-14
Calculate (-20)/6*(3402/105)/(-9).
12
84/(-96)*-4*(-48)/14
-12
What is 12/3*8*22/64?
11
Evaluate ((-2211)/(-2680)*-10)/(2/(-8)).
33
What is the value of -15*(648/(-600))/(-9)?
-9/5
What is 120/(-18)*6/15*6?
-16
What is 5*((64/50)/(-16))/((-14)/30)?
6/7
Calculate 1234/1851*1/(1*22).
1/33
What is the value of (((-11)/(-55))/(3/5))/(11036/(-534))?
-1/62
Evaluate 443/443*(-17)/(4/4).
-17
What is ((-1542)/1028)/((-1)/((-1)/(-3))*-1)?
-1/2
(1305/50)/(-29)*10
-9
Calculate ((-120)/(-18))/((-600)/75).
-5/6
What is the value of (4/(32/36))/(2*-3)?
-3/4
What is (5/(-8)*-8)/(((-2)/(-2))/(-1))?
-5
27/(-3)*75/(-630)*-14
-15
(3/((-9)/(-3)))/(((-340)/(-17))/300)
15
What is 12/(-72)*6*1?
-1
What is the value of (((-1476)/48)/41)/(402/(-16))?
2/67
Evaluate ((-10)/(-95))/((39/(-351))/(3/(-54))).
1/19
Calculate 20/(-16)*(-11968)/(-880).
-17
What is the value of (((-18)/(-15))/(-1))/((-470)/(-7050))?
-18
Calculate (-440)/16*132/90*(-38)/(-209).
-22/3
What is the value of (-1*(-7)/(-7))/((-50)/1050)?
21
What is the value of (9/(540/200))/(5/18)?
12
What is (18/48)/((-7812)/29760)?
-10/7
Calculate (2*6/(-12))/(3/(-57)).
19
Evaluate -1*(2/2)/(-45)*(-144)/(-24).
2/15
Evaluate 10/(-54)*(-140)/(-2100)*(-12)/2.
2/27
Evaluate ((-4)/(24/9))/(255/(-3230)).
19
Calculate (-640)/(-20)*(-5)/(-30)*-3.
-16
Evaluate ((-72)/6)/(((-110)/(-10))/(-11)).
12
Evaluate 2224/1668*(-1)/4.
-1/3
Calculate (96/(-16))/((-2)/((-6)/39)).
-6/13
Evaluate (-2)/7*8/40*-5.
2/7
What is ((-2)/(-5))/(5/(-50))*86/43?
-8
Calculate (-30)/50*-1*3*-5*-1.
9
Evaluate -8*6/(-912)*8/(-16)*2.
-1/19
Calculate ((-8)/1)/((-13)/13).
8
Calculate 6*(-12)/(-16)*1080/324.
15
30/(-155)*4340/(-210)
4
Calculate 144/128*((-36)/6)/((-27)/6).
3/2
What is the value of 3415/(-19124)*(-14)/(-20)?
-1/8
Calculate ((88/11)/(-4))/((-4)/6).
3
What is the value of (8500/175)/34*(-21)/(-15)?
2
Evaluate (((-1218)/(-9))/(-58))/((32/(-6))/2).
7/8
Calculate 28/(-8)*2*(-3375)/1575.
15
(22/1980*20)/(1*(-3)/9)
-2/3
Calculate 2/(63/(25641/74)).
11
Evaluate 50/(-825)*-11*(-6)/(-5).
4/5
(11/((-286)/38))/(8/(-52))*-1
-19/2
52/2*(8/(-1))/16
-13
Evaluate -5*(2/44)/(-10*(-11)/(-44)).
1/11
((-10)/25)/(1012/220)
-2/23
What is the value of (11*(-23)/2277)/(1/(-3))*75?
25
What is -30*(-3)/18*12/(-4)?
-15
Calculate (3/(48/(-2)))/((-1)/(-8)*-8).
1/8
What is the value of (-13)/572*(-204)/34?
3/22
What is ((-111)/(-185))/(81/(-45))?
-1/3
Evaluate -6*5/10*-1*-3.
-9
800/(-1440)*12/(-40)*4
2/3
What is ((-2)/(-2))/((-15)/(-40)*8/(-18))?
-6
What is the value of (-16)/1680*-10*21?
2
Calculate -1*(-10)/(-4)*(-19)/(-133)*-14.
5
Calculate (3/2)/(2964/(-608))*26/(-268).
2/67
Calculate (220/990)/((16/3)/4).
1/6
What is the value of (20/(-12))/(2/((-17)/((-425)/(-20))))?
2/3
What is the value of (12/16)/((-9)/6)*0/2?
0
Calculate (558/(-4185))/((-1)/(-12)).
-8/5
What is the value of (((-6)/(-6))/2)/(10/60)?
3
Evaluate ((-100)/120)/((-2)/(104/(-195))).
-2/9
What is (-50)/(-5*(-3)/120*-10)?
40
((-10)/6)/(355/2556)
-12
Calculate 20/160*(-12)/4.
-3/8
Evaluate 1656/(-14168)*22/(-2).
9/7
Evaluate (8250/1485)/(5/3).
10/3
Evaluate (-14)/(-1)*8/56.
2
Calculate (204/(-14))/((-25)/((-175)/3)).
-34
Calculate (-29)/(-58)*(-26)/(-9)*-1*-3.
13/3
What is the value of ((-344)/4300)/(1/5)*14/4?
-7/5
What is the value of (12/(-10))/(118/1475)?
-15
Evaluate (135/(-180))/((-3)/(-24)).
-6
Evaluate 73/1241*2/3.
2/51
What is the value of (-176)/(-198)*(1/2)/(-1)?
-4/9
((-2730)/196)/(-39)*-14
-5
What is 5*(1512/60)/(-14)?
-9
((-4)/30*3)/(((-210)/(-10))/315)
-6
((-60)/(-108))/((-200)/240)
-2/3
What is ((-4)/1)/(((-256)/24)/8)?
3
What is the value of ((9/75)/(10/(-100)))/(3/(-10))?
4
Calculate 4/(-10)*365/1679.
-2/23
What is 1/34*-12*10/180*6?
-2/17
Calculate (57/90)/((-42)/84)*3.
-19/5
What is 90/24*2*(-434)/155?
-21
What is 2/8*-6*-15*3/15?
9/2
What is 20/15*(-11)/(1430/30)?
-4/13
What is the value of -3*63/((-38556)/(-72))?
-6/17
What is the value of 1162/10209*(-24)/(-56)?
2/41
Calculate (-7)/(-6)*12/525*3858/1286.
2/25
What is the value of 6/4*(-8)/4*120/3780?
-2/21
(-2)/(-8)*((-22)/231)/((-1)/7)
1/6
Evaluate 16/(-2)*-1*43/(4300/125).
10
Calculate (0/(-1))/(1136/284).
0
What is the value of 3/2*165/(-198)*4/(-6)?
5/6
((-3)/((-63)/(-96)))/(938/3283)
-16
What is 6*3/(-2)*286/(-198)?
13
Evaluate ((-4)/(56/105))/((-24)/(-32)).
-10
Calculate 4/(-24)*(-71916)/461.
26
What is the value of ((-61)/366)/((-2)/(-8))*51/(-2)?
17
Calculate (9/4)/(20/(320/4)).
9
What is the value of 21/(-22)*(-6)/21?
3/11
What is the value of 20*((-3)/45)/(142/2556)?
-24
Calculate 2/(-5)*-5*(-66)/(-132)*-1.
-1
Calculate (-10)/(-40)*14/(-6)*(-94)/(-329).
-1/6
Evaluate (8/10)/((-3)/(-2)*(-360)/(-1350)).
2
Calculate (594/792)/((-3)/16).
-4
What is (-4)/(-504)*-21*-186?
31
What is the value of (4/(-10))/((-12)/(-6))?
-1/5
Calculate 30/2*(120/100)/2.
9
What is the value of 5*(-28)/(-20)*(-13)/(-13)?
7
Evaluate ((-18)/(-105))/(59/(-295)).
-6/7
Calculate (592/518)/((-6)/(-7)).
4/3
Calculate (12/(-32))/((133/28)/19).
-3/2
-1*-9*(-221)/153
-13
(165/66)/(1/4)
10
Calculate (686/2744)/((-1)/4).
-1
Calculate 462/308*(-48)/522.
-4/29
1*1/14*(-18)/(1044/(-203))
1/4
-1*-2*(-399)/38
-21
Evaluate (0/(-65))/((-6)/3).
0
(-10)/18*-2*((-90)/(-50))/9
2/9
Calculate (162/(-42))/((-21)/(-14))*28/(-16).
9/2
Calculate 9/1*(-18)/(-1134)*2.
2/7
What is the value of (-10*20/400)/((5/2)/(-1))?
1/5
What is 15/(-6)*(16/(-400))/(14/35)?
1/4
What is ((-990)/495)/(2/19)?
-19
Calculate ((-22)/2)/(-132)*-1.
-1/12
Calculate (186/620)/(1/10).
3
What is the value of 45/(-110)*1*(-64)/(-48)?
-6/11
What is ((-112)/40)/((-30)/(-100))*90/385?
-24/11
Evaluate (((-40)/5)/136)/((-8)/16*1).
2/17
4*(-6)/2*856/(-428)
24
(-342)/(-95)*(-10)/(-6)
6
Evaluate ((-1)/(-4))/((-16)/((-3840)/(-135))).
-4/9
Calculate ((-1)/13)/((-390)/(-9295)).
-11/6
Evaluate (-2)/(-15)*(-216)/(-36).
4/5
What is (-874)/6624*-24*-6?
-19
What is ((-1)/1*2)/((-19)/(6422/(-156)))?
-13/3
Evaluate 30/(-70)*(-644)/23*3.
36
What is the value of ((-3)/4*(-20)/(-9))/((-165)/(-18))?
-2/11
What is ((-13)/(-52))/(143/(-88))?
-2/13
What is (-1)/(20*(-6)/48)?
2/5
Calculate -2*3/12*325/130.
-5/4
What is ((-7)/((-14)/4))/(24/(-96))?
-8
Calculate ((-63)/14)/(3/12*-3).
6
What is (5*(-1)/3)/(((-784)/96)/49)?
10
What is (-30)/44*11*(-28)/(-10)?
-21
Evaluate ((1/(-1))/(1173/46))/(1/(-9)).
6/17
Evaluate (10/4)/((-1795)/5026).
-7
Evaluate 15/(1*(-1)/1*(-15)/(-15)).
-15
Evaluate (-48)/(-12)*(-450)/120.
-15
What is (-2940)/(-3150)*(-6)/(-70)?
2/25
What is the value of (-12250)/1000*(-2)/7?
7/2
What is 754/(-116)*(32/24)/(4/(-6))?
13
Calculate (7/18)/(1*(-476)/204).
-1/6
Evaluate (-1820)/(-1040)*(-60)/(-7).
15
Calculate (4/(-14))/((-196)/686)*(-6)/2.
-3
Evaluate (2/18)/((378/(-18))/105).
-5/9
81/(-126)*4/(-36)*6
3/7
Calculate 3/(9/(-2))*(-2670)/(-89).
-20
2/(7/(14/36))*56/56
1/9
(-3)/3*-11*24/(444/37)
22
Evaluate ((-1)/(-4))/(((-3)/(-240)*-5)/(-7)).
28
What is the value of (54/4)/1*488/(-1464)?
-9/2
Evaluate -1*(-6)/(-54)*-45.
5
What is the value of (-10)/((-90)/(-9))*5/(-1)?
5
Calculate (-21060)/(-1350)*(-25)/15.
-26
What is 6/(-15)*2/3?
-4/15
Evaluate ((-3)/40)/((5/75)/(1/(-9))).
1/8
What is the value of (6/2100*-4)/((-53)/(-265))?
-2/35
What is the value of ((-81)/27)/(((-11)/11)/(4*-1))?
-12
What is 2388/759981*38/4?
2/67
((-173)/(-519))/(14*2/(-72))
-6/7
What is the value of 10/16*228/(-190)?
-3/4
Evaluate 16/132*(-1278)/284.
-6/11
(59/(2242/(-304)))/(1*(-2)/2)
8
What is ((-4)/(-20))/(12/(-15))*(-40)/7?
10/7
What is the value of ((-36)/(-128)*8)/((-1)/(4/(-6)))?
3/2
Evaluate (-54)/(18*(-4)/(-36)).
-27
Evaluate (64/(-40))/((-5510)/475).
4/29
What is (252/(-336))/((-2)/(-1*40)*-3)?
5
((-1953)/(-31))/(18/4)
14
Wh | {
"pile_set_name": "DM Mathematics"
} |
f 200453377?
71, 2823287
What are the prime factors of 123107517?
3, 13, 19, 79, 701
What are the prime factors of 15118389?
3, 11, 13, 17, 691
What are the prime factors of 39536593?
39536593
List the prime factors of 58630291.
47, 1247453
List the prime factors of 309301479.
3, 34366831
What are the prime factors of 52744051?
31, 607, 2803
List the prime factors of 4721801706.
2, 3, 43, 6100519
What are the prime factors of 14228539?
13, 53, 107, 193
What are the prime factors of 61018307?
7, 67, 281, 463
What are the prime factors of 1654108345?
5, 6701, 49369
List the prime factors of 58166971.
283, 205537
List the prime factors of 149305415.
5, 7, 317, 13457
List the prime factors of 33188769.
3, 79, 46679
What are the prime factors of 363967915?
5, 113, 644191
What are the prime factors of 363417141?
3, 73, 971, 1709
List the prime factors of 409762936.
2, 11, 4656397
What are the prime factors of 356599788?
2, 3, 151, 196799
List the prime factors of 82107157.
11, 383, 19489
What are the prime factors of 211049635?
5, 4903, 8609
What are the prime factors of 106493304?
2, 3, 17, 261013
List the prime factors of 548573574.
2, 3, 2437, 37517
List the prime factors of 43188020.
2, 5, 23, 93887
List the prime factors of 1363953957.
3, 97, 113, 41479
What are the prime factors of 287227758?
2, 3, 47871293
List the prime factors of 1076158.
2, 538079
List the prime factors of 1096379105.
5, 47, 281, 16603
List the prime factors of 281433818.
2, 140716909
What are the prime factors of 3765311059?
11813, 318743
List the prime factors of 405893324.
2, 101473331
List the prime factors of 190978613.
7, 4721, 5779
List the prime factors of 1090316965.
5, 31, 226913
What are the prime factors of 765342105?
3, 5, 11, 31, 149627
List the prime factors of 21667664.
2, 1354229
What are the prime factors of 78466677?
3, 37, 706907
List the prime factors of 359963570.
2, 5, 23, 1565059
List the prime factors of 249692086.
2, 7, 17835149
List the prime factors of 2768107908.
2, 3, 397, 581047
List the prime factors of 340598183.
239, 1425097
List the prime factors of 6207775080.
2, 3, 5, 13, 17, 149, 1571
List the prime factors of 74615304.
2, 3, 457, 6803
List the prime factors of 126765595.
5, 11, 73, 31573
List the prime factors of 72417905.
5, 7, 311, 6653
What are the prime factors of 270782106?
2, 3, 7, 29, 222317
List the prime factors of 7868472.
2, 3, 327853
What are the prime factors of 2327073536?
2, 9090131
List the prime factors of 2554991.
2554991
What are the prime factors of 30471665?
5, 7, 23, 37853
List the prime factors of 278238596.
2, 69559649
List the prime factors of 1022631472.
2, 31, 2061757
What are the prime factors of 2035837414?
2, 13, 17, 4605967
What are the prime factors of 106997735?
5, 13, 167, 9857
List the prime factors of 3074294474.
2, 59, 3613, 7211
What are the prime factors of 833292697?
1523, 547139
List the prime factors of 449948812.
2, 157, 716479
List the prime factors of 49432662.
2, 3, 31, 88589
List the prime factors of 295409080.
2, 5, 29, 254663
List the prime factors of 1330393168.
2, 13, 43, 148747
List the prime factors of 172397360.
2, 5, 2154967
List the prime factors of 73261931.
73261931
List the prime factors of 15209793.
3, 277, 6101
List the prime factors of 6605958650.
2, 5, 877, 150649
What are the prime factors of 22518267?
3, 7506089
List the prime factors of 662540925.
3, 5, 19, 464941
List the prime factors of 1698868389.
3, 23, 24621281
List the prime factors of 3204301484.
2, 31, 967, 26723
What are the prime factors of 39090034?
2, 461, 42397
What are the prime factors of 345063886?
2, 139, 277, 4481
What are the prime factors of 977753945?
5, 7, 27935827
What are the prime factors of 19953673?
23, 331, 2621
List the prime factors of 386168038.
2, 37, 5218487
List the prime factors of 1396850534.
2, 641, 673, 1619
What are the prime factors of 9518734?
2, 19, 23, 10891
List the prime factors of 42692010.
2, 3, 5, 1423067
What are the prime factors of 58549819?
17, 3444107
List the prime factors of 592680127.
13, 3506983
What are the prime factors of 560834125?
5, 4486673
List the prime factors of 42725627.
7, 349, 17489
List the prime factors of 2211395616.
2, 3, 1061, 7237
List the prime factors of 1565089773.
3, 13, 311, 129037
List the prime factors of 2790576496.
2, 47, 3710873
List the prime factors of 100513708.
2, 25128427
List the prime factors of 332888183.
83, 4010701
What are the prime factors of 1444392374?
2, 227, 3181481
List the prime factors of 307961657.
31, 43, 103, 2243
What are the prime factors of 319391064?
2, 3, 19, 23, 10151
What are the prime factors of 135456514?
2, 199, 211, 1613
List the prime factors of 5716101253.
31, 859, 214657
List the prime factors of 4901218053.
3, 32531, 50221
List the prime factors of 470887476.
2, 3, 937, 41879
List the prime factors of 642747901.
642747901
What are the prime factors of 30021469?
73, 411253
List the prime factors of 967011689.
7, 103, 1341209
List the prime factors of 15711048.
2, 3, 31, 7039
List the prime factors of 36225163.
13, 2786551
List the prime factors of 2722335473.
11, 13, 29, 656459
List the prime factors of 108877272.
2, 3, 7, 648079
What are the prime factors of 180554043?
3, 37, 1626613
List the prime factors of 443883668.
2, 17, 31, 43, 59, 83
List the prime factors of 193892914.
2, 5347, 18131
What are the prime factors of 22459528?
2, 7, 13, 30851
What are the prime factors of 13581899?
13581899
List the prime factors of 424794531.
3, 7, 20228311
List the prime factors of 133093899.
3, 14788211
List the prime factors of 656815150.
2, 5, 13136303
What are the prime factors of 1431948?
2, 3, 7, 17047
What are the prime factors of 35048144?
2, 541, 4049
List the prime factors of 685995316.
2, 11393, 15053
List the prime factors of 98424824.
2, 12303103
List the prime factors of 107582917.
13, 149, 55541
List the prime factors of 3985055.
5, 17, 173, 271
What are the prime factors of 945913039?
29, 32617691
List the prime factors of 221382428.
2, 73, 758159
List the prime factors of 14971496.
2, 1871437
What are the prime factors of 80446276?
2, 20111569
What are the prime factors of 7867436392?
2, 17, 37, 1563481
List the prime factors of 93922962.
2, 3, 7, 2236261
What are the prime factors of 97473696?
2, 3, 317, 3203
What are the prime factors of 1017105179?
1017105179
What are the prime factors of 64291346?
2, 7, 223, 20593
What are the prime factors of 33496288?
2, 7, 229, 653
List the prime factors of 271675398.
2, 3, 131, 345643
What are the prime factors of 4444593286?
2, 7, 1993, 159293
What are the prime factors of 2878963?
127, 22669
What are the prime factors of 338517119?
338517119
What are the prime factors of 4228585102?
2, 7, 41, 7366873
List the prime factors of 722223760.
2, 5, 1123, 8039
List the prime factors of 11666069.
1789, 6521
List the prime factors of 312494705.
5, 2383, 26227
List the prime factors of 1219645545.
3, 5, 81309703
What are the prime factors of 28859713?
379, 76147
List the prime factors of 3670547217.
3, 79, 15487541
List the prime factors of 1981261707.
3, 660420569
List the prime factors of 724739133.
3, 1381, 174931
What are the prime factors of 8310959?
8310959
What are the prime factors of 28170670?
2, 5, 11, 71, 3607
List the prime factors of 54674914.
2, 7, 3905351
What are the prime factors of 733262711?
733262711
What are the prime factors of 1074981434?
2, 17, 31617101
What are the prime factors of 108481726?
2, 17, 173, 18443
What are the prime factors of 155974872?
2, 3, 179, 36307
List the prime factors of 4473085616.
2, 1427, 195913
What are the prime factors of 1361706531?
3, 619, 733283
What are the prime factors of 3425827597?
29983, 114259
What are the prime factors of 1084189566?
2, 3, 433, 417317
What are the prime factors of 566580590?
2, 5, 17, 3332827
List the prime factors of 822426134.
2, 19, 23, 41, 59, 389
List the prime factors of 86085264.
2, 3, 31, 57853
List the prime factors of 102966946.
2, 51483473
List the prime factors of 53113591.
53113591
List the prime factors of 2681572475.
5, 107, 1002457
List the prime factors of 1800491502.
2, 3, 2063, 145459
What are the prime factors of 42622394?
2, 1213, 17569
List the prime f | {
"pile_set_name": "DM Mathematics"
} |
'th term of 1000, 1019, 1080, 1183, 1328, 1515?
21*c**2 - 44*c + 1023
What is the w'th term of 8206, 16476, 24756, 33052, 41370, 49716, 58096, 66516?
w**3 - w**2 + 8266*w - 60
What is the i'th term of -10719, -21510, -32299, -43086, -53871, -64654, -75435?
i**2 - 10794*i + 74
What is the y'th term of 319285, 319253, 319221?
-32*y + 319317
What is the o'th term of -4087, -8467, -12865, -17281, -21715, -26167, -30637?
-9*o**2 - 4353*o + 275
What is the z'th term of -289, -82, 137, 374, 635, 926, 1253, 1622?
z**3 + 200*z - 490
What is the c'th term of -1234284, -2468698, -3703112, -4937526, -6171940?
-1234414*c + 130
What is the s'th term of -1894, -873, 1898, 7295, 16194, 29471, 48002, 72663?
146*s**3 - s**2 + 2*s - 2041
What is the y'th term of 339, -1353, -5073, -10821, -18597, -28401?
-1014*y**2 + 1350*y + 3
What is the q'th term of 47465267, 47465274, 47465281?
7*q + 47465260
What is the c'th term of 288980220, 288980219, 288980218, 288980217, 288980216?
-c + 288980221
What is the r'th term of -11256102, -22512201, -33768304, -45024411?
-2*r**2 - 11256093*r - 7
What is the o'th term of 3776413, 3776409, 3776405?
-4*o + 3776417
What is the m'th term of 485, 600, 949, 1538, 2373?
m**3 + 111*m**2 - 225*m + 598
What is the u'th term of 170848387, 341696773, 512545159, 683393545, 854241931, 1025090317?
170848386*u + 1
What is the z'th term of 32226, 32194, 32166, 32142, 32122, 32106?
2*z**2 - 38*z + 32262
What is the t'th term of -158633305, -158633308, -158633311, -158633314?
-3*t - 158633302
What is the s'th term of 3304, 3802, 4300, 4798?
498*s + 2806
What is the p'th term of -4134, -16590, -37414, -66660, -104382, -150634, -205470?
-9*p**3 - 4130*p**2 - 3*p + 8
What is the f'th term of 14393, 59760, 135373, 241232, 377337, 543688, 740285?
15123*f**2 - 2*f - 728
What is the a'th term of 115886, 115776, 115596, 115346, 115026, 114636, 114176?
-35*a**2 - 5*a + 115926
What is the n'th term of -130988, -261914, -392840?
-130926*n - 62
What is the r'th term of -664327, -664246, -664165, -664084?
81*r - 664408
What is the z'th term of -13000, -21773, -30546, -39319, -48092?
-8773*z - 4227
What is the f'th term of 12464821, 12464823, 12464825, 12464827, 12464829?
2*f + 12464819
What is the g'th term of -58915, -118060, -177197, -236326?
4*g**2 - 59157*g + 238
What is the a'th term of 1080145, 1080192, 1080239, 1080286?
47*a + 1080098
What is the w'th term of 22063, 22053, 22025, 21979, 21915?
-9*w**2 + 17*w + 22055
What is the j'th term of -648, -5002, -16796, -39750, -77584?
-620*j**3 - 14*j - 14
What is the p'th term of 32760901, 65521800, 98282699, 131043598, 163804497, 196565396?
32760899*p + 2
What is the a'th term of 1311, -559, -2415, -4251, -6061, -7839, -9579?
a**3 + a**2 - 1880*a + 3189
What is the i'th term of -25, -64, -79, -76, -61, -40, -19?
-i**3 + 18*i**2 - 86*i + 44
What is the f'th term of 298, 1123, 2496, 4417?
274*f**2 + 3*f + 21
What is the b'th term of -107113346, -214226691, -321340036, -428453381, -535566726, -642680071?
-107113345*b - 1
What is the p'th term of -22942, -29592, -36240, -42886?
p**2 - 6653*p - 16290
What is the l'th term of 6896, 11485, 19134, 29843?
1530*l**2 - l + 5367
What is the y'th term of -11877, -16947, -30705, -57495, -101661, -167547, -259497, -381855?
-724*y**3 - 2*y - 11151
What is the k'th term of 27004077, 54008152, 81012227, 108016302?
27004075*k + 2
What is the r'th term of 1457362, 2914739, 4372116, 5829493?
1457377*r - 15
What is the z'th term of -368, -183, 632, 2083, 4176, 6917, 10312?
z**3 + 309*z**2 - 749*z + 71
What is the c'th term of -554385, -1108355, -1662327, -2216301, -2770277?
-c**2 - 553967*c - 417
What is the g'th term of 552233, 1104559, 1656885, 2209211?
552326*g - 93
What is the q'th term of 19424, 38706, 57848, 76850, 95712, 114434, 133016?
-70*q**2 + 19492*q + 2
What is the x'th term of -8237, -8095, -8023, -8057, -8233, -8587?
-6*x**3 + x**2 + 181*x - 8413
What is the b'th term of -426459, -426457, -426455, -426453, -426451, -426449?
2*b - 426461
What is the j'th term of 112163, 448653, 1009465, 1794593, 2804031?
-j**3 + 112167*j**2 - 4*j + 1
What is the s'th term of 36493, 72675, 108857, 145039, 181221, 217403?
36182*s + 311
What is the g'th term of 578679, 2314739, 5208189, 9259035, 14467283?
g**3 + 578689*g**2 - 14*g + 3
What is the r'th term of 11024192, 11024190, 11024188, 11024186?
-2*r + 11024194
What is the w'th term of -364922, -364933, -364962, -365009?
-9*w**2 + 16*w - 364929
What is the u'th term of 4917, 20443, 46319, 82545, 129121, 186047, 253323?
5175*u**2 + u - 259
What is the q'th term of 346599, 692385, 1038167, 1383945, 1729719, 2075489?
-2*q**2 + 345792*q + 809
What is the n'th term of 60053, 59317, 58039, 56177, 53689?
-7*n**3 - 229*n**2 + 60289
What is the q'th term of 8457, 8899, 9635, 10665, 11989?
147*q**2 + q + 8309
What is the i'th term of -118, -109, -204, -493, -1066, -2013?
-15*i**3 + 38*i**2 - 141
What is the x'th term of -42013438, -84026856, -126040284, -168053728, -210067194, -252080688?
-x**3 + x**2 - 42013414*x - 24
What is the m'th term of -635735, -635709, -635683, -635657, -635631?
26*m - 635761
What is the i'th term of -11162, -42870, -128936, -296540, -572862?
-4530*i**3 + i**2 - i - 6632
What is the t'th term of -1379, -5488, -12337, -21926?
-1370*t**2 + t - 10
What is the s'th term of -6653, -13380, -20107, -26834, -33561?
-6727*s + 74
What is the m'th term of 140714, 141173, 141642, 142127, 142634, 143169, 143738?
m**3 - m**2 + 455*m + 140259
What is the u'th term of -14981, -28157, -41333, -54509?
-13176*u - 1805
What is the u'th term of 424461, 424430, 424399, 424368?
-31*u + 424492
What is the h'th term of -3679231, -7358454, -11037643, -14716780, -18395847?
3*h**3 - h**2 - 3679241*h + 8
What is the u'th term of 64753, 259032, 582829, 1036144, 1618977, 2331328, 3173197?
64759*u**2 + 2*u - 8
What is the s'th term of -161, -961, -2937, -6671, -12745, -21741?
-97*s**3 - 6*s**2 - 103*s + 45
What is the t'th term of 944383, 1888767, 2833151, 3777535, 4721919?
944384*t - 1
What is the g'th term of 213, 262, 311, 360, 409?
49*g + 164
What is the c'th term of -5448, -5056, -4662, -4266, -3868, -3468?
c**2 + 389*c - 5838
What is the z'th term of -6804, -28873, -68668, -128655, -211300?
-411*z**3 - 6397*z**2 - z + 5
What is the s'th term of 2192166, 2192169, 2192162, 2192139, 2192094?
-s**3 + s**2 + 7*s + 2192159
What is the s'th term of 39452, 39590, 39932, 40580, 41636?
17*s**3 + 19*s + 39416
What is the h'th term of 16009858, 16009878, 16009896, 16009912?
-h**2 + 23*h + 16009836
What is the k'th term of -496216, -992428, -1488636, -1984840?
2*k**2 - 496218*k
What is the i'th term of 151228, 151348, 151670, 152296, 153328?
17*i**3 - i**2 + 4*i + 151208
What is the r'th term of 469959, 469933, 469907, 469881, 469855, 469829?
-26*r + 469985
What is the g'th term of -1058105, -1057332, -1056561, -1055792, -1055025, -1054260, -1053497?
-g**2 + 776*g - 1058880
What is the g'th term of -2424, -2573, -2742, -2937, -3164?
-g**3 - 4*g**2 - 130*g - 2289
What is the a'th term of -1665737, -3331461, -4997187, -6662915, -8328645?
-a**2 - 1665721*a - 15
What is the m'th term of 6507497, 13014998, 19522499, 26030000, 32537501, 39045002?
6507501*m - 4
What is the k'th term of -1487, -2154, -1183, 2248, 8961?
137*k**3 - 3*k**2 - 1617*k - 4
What is the h'th term of -54683779, -109367561, -164051343, -218735125, -273418907?
-54683782*h + 3
What is the v'th term of 55202, 110205, 165194, 220169, 275130, 330077?
-7*v**2 + 55024*v + 185
What is the v'th term of -789996, -789458, -788006, -785184, -780536, -773606, -763938, -751076?
76*v**3 + v**2 + 3*v - 790076
What is the c'th term of 1035006144, 1035006145, 1035006146, 1035006147, 1035006148?
c + 1035006143
What is the w'th term of 37280, 149252, 335896, 597230, 933272, 1344040, 1829552?
3*w**3 + 37318*w**2 - 3*w - 38
What is the n'th term of 7839, 8163, 8491, 8823?
2*n**2 + 318*n + 7519
What is the c'th term of 10, 477, 1314, 2521, 4098?
185*c**2 - 88*c - 87
What is the y'th term of -120384, -240778, -361172, -481566?
-120394*y + 10
What is the d'th term of -603, -2557, -5863, -10509, -16483?
2*d**3 - 688*d**2 + 96*d - 13
What is the z'th term of -2700, -5273, -7642, -9705, -11360, -12505, -13038?
1 | {
"pile_set_name": "DM Mathematics"
} |
- -1*2). Let b(a) = 7*a**2 - 3. What is the units digit of b(q)?
5
Suppose -11*h + 23409 = 6*h. Suppose 8*x - h = 3655. What is the hundreds digit of x?
6
Let s(v) = -8*v**3 + 4*v**2 - 4. Let x be s(-2). Let h = 80 - x. Suppose -h*j + 321 = -w, -5*j + 0*w = -3*w - 410. What is the units digit of j?
9
Suppose -2*u + 13634 = f - 9302, -3*f - 4*u = -68808. What is the hundreds digit of f?
9
Let u(k) = 8 - 1 - 15*k + 5*k - k**3 + 13*k**2. Let i be u(9). Suppose 4*z - 3*v - i = 0, 2*z = -0*z - 2*v + 124. What is the tens digit of z?
6
Let r(a) = a**2 + 2*a + 3. Let t be r(-1). Suppose 4*d - 3*d - 2*l = 382, -t*l = 3*d - 1106. What is the hundreds digit of d?
3
What is the tens digit of (2 - -7)/(8 - (-64785)/(-8100))?
6
What is the thousands digit of ((-9402)/(-12) - 0)/((-27)/(-216))?
6
Let d = -9525 - -13694. Suppose 32*q = 21431 + d. What is the units digit of q?
0
Let y = -13716 - -28784. What is the units digit of y?
8
Let z = 69108 - 33297. What is the hundreds digit of z?
8
Suppose -p + 2*q = -1534 + 182, 1352 = p + 2*q. Suppose 0 = 22*v - 30*v + p. What is the units digit of v?
9
Let c = -5 - 74. Let k = 443 + c. What is the tens digit of k?
6
Let a(l) = -196*l + 9. Let d = -91 - -89. What is the tens digit of a(d)?
0
Let l(n) = 2*n**2 - 18*n + 9. Let u be l(9). Suppose 0 = -3*j - 2*b + 594, 4*b - u - 983 = -5*j. What is the hundreds digit of j?
1
Let x(n) = n**3 + 37*n**2 + 2. Let w be x(-37). Suppose -5*u + 4*q + 231 = 0, -w*u = u + q - 142. What is the units digit of u?
7
Let w(q) = -3*q - 16. Let b be w(-9). Let j = 13 - b. Suppose -2*v = j*t + 3*v - 111, 5*v + 129 = 3*t. What is the tens digit of t?
4
Let z be 451/123*((4 - -1) + -2). Suppose 463 = -z*l + 12*l. What is the units digit of l?
3
Suppose 2*v - 5*f - 21017 = 0, -2*v + f = -0*v - 21045. What is the units digit of v?
6
Suppose -29*r + 3*p + 117106 = -16*r, -5*r - p + 45030 = 0. What is the units digit of r?
7
Suppose -p - 5*a + 47 = p, 2*p + 2*a - 56 = 0. Suppose -9*o - 56 + 20 = 0. Let f = o + p. What is the units digit of f?
7
Let u(v) = -v**3 + 12*v**2 - 12*v + 11. Let p be u(11). Suppose p*g + 171 = 3*g. Suppose 2*d - 131 = g. What is the tens digit of d?
9
Suppose 34 = -5*n + 49. Suppose -152 = -2*d + 4*j + 602, -d + n*j = -380. What is the tens digit of d?
7
Let g(u) = -u**3 + 20*u**2 - 32*u - 19. Suppose 72*h - 62*h = 170. What is the units digit of g(h)?
4
Let p be 5 + -1 - (-6 + 7). Suppose p*h + 4*h - 14 = 0. Suppose h*w - 3*w + 178 = 0. What is the tens digit of w?
7
Let r(p) = -p**3 - 3*p**2 - p + 280. Let i be r(0). Suppose -i = -2*x + 596. What is the units digit of x?
8
Let o = -2286 - -3714. What is the hundreds digit of o?
4
Suppose n - 7 = -5*w + 11, w = -2*n. Suppose 0 = -w*d + 665 - 269. What is the tens digit of d?
9
Let f(a) = 9*a**2 - 26*a - 481. What is the thousands digit of f(39)?
2
Suppose 0 = 1149*a - 1163*a + 356622. What is the ten thousands digit of a?
2
Suppose 5*y + 4*d = -d + 81840, 4*y - 3*d = 65479. What is the ten thousands digit of y?
1
Suppose -36*s + 4*r = -32*s - 3588, 5*r - 2667 = -3*s. What is the hundreds digit of s?
8
Let l = 98 - 83. Let k be -81*(-6)/15 + (-6)/l. Suppose k*c - 23*c = 819. What is the units digit of c?
1
What is the tens digit of (147724/42 - 48/(-144)) + (-24)/(-56)?
1
Let u(c) = 2286*c + 25*c**2 - 20*c**2 - 23 + 29*c**2 - 2194*c + c**3. What is the tens digit of u(-30)?
1
Let n(f) = -182*f - 1. Let k be n(-1). Suppose k + 365 = 6*l. What is the units digit of l?
1
Let w = 145 - -104. Suppose -w - 1047 = -2*p + r, -659 = -p - 5*r. What is the hundreds digit of p?
6
Suppose 26567 = s + 3*n, 427*n + 79771 = 3*s + 422*n. What is the thousands digit of s?
6
Let w(v) = 2*v**3 - 4*v**2 - 8*v + 10. Let f be w(3). What is the hundreds digit of (-408)/28*(-87 - f)?
3
Suppose 3*q + 9*d - 4*d + 1396 = 0, q + 469 = 2*d. Let t = q + 1711. What is the units digit of t?
4
Suppose -v + 36 = -3*p + 6*p, 2*p = -v + 38. Let l = v + -21. Let z = 7 + l. What is the tens digit of z?
2
Let g be (0 + 15/(-3))*(-12)/15. Let j be (6/9)/((-235)/60 + g). Suppose 1181 = j*k - 3. What is the tens digit of k?
4
Let j(o) = -20*o**2. Let b be j(1). Let d = b + 13. Let z(x) = x**2 - 7*x + 11. What is the hundreds digit of z(d)?
1
Suppose -2*j = 2*b - 38534, 6*b - 127473 = -4*j - 11885. What is the ten thousands digit of b?
1
Let o(q) = 711*q**3 - 7*q**2 + 48*q - 86. What is the units digit of o(4)?
8
Suppose 4*c + i = -19, c + 10*i - 5*i + 19 = 0. Let b be 2492/c + 0 + -1. What is the tens digit of (b/(-26))/(2/3)?
3
Let l(k) = -3*k**3 + 11*k**2 + 9*k + 20. Let n be l(-10). Suppose 7*r = 20*r - n. What is the tens digit of r?
1
Suppose -3*v = h - 15 + 13, -2*v = 4*h - 28. Let k be 287 + 2/(-1) - 0. What is the tens digit of h*(k/20 + -4)?
8
Suppose d = 4*t - 39101, -4*t + 25*d + 39080 = 21*d. What is the thousands digit of t?
9
Suppose -7*u - 5220 = -13*u. Suppose -5*v + 3*g + 3 = 0, 2*g + 2 + 0 = 2*v. Suppose v = 4*q + 122 - u. What is the tens digit of q?
8
What is the tens digit of 35034*((-2)/6 - (12 - (-375)/(-30)))?
3
Let d = -82 + 127. What is the units digit of (-3009)/(-5) + 9/d?
2
Let b be -3*3*5/(-45). Let a(g) = 1884*g**2 + 16*g - 17. What is the thousands digit of a(b)?
1
What is the thousands digit of 21*(-15)/735 + (-1026772)/(-28)?
6
Let g(m) be the first derivative of -m**4/4 - 3*m**3 - 22*m**2 + 4*m + 191. What is the hundreds digit of g(-11)?
7
Suppose 11*d - 1068 + 3202 = 0. Let o = 669 + d. What is the hundreds digit of o?
4
Let r = -195 - -110. What is the hundreds digit of 3 - (2 + 3)*r?
4
Suppose 14*v - 29684 + 20085 = 34739. What is the hundreds digit of v?
1
Suppose -6*b + 432 = -78. Suppose 5*x + 4 = 19. Suppose 111 = 4*u + 2*n - n, x*u = n + b. What is the units digit of u?
8
What is the hundreds digit of (19/(-76) - 80393/4*-1) + 2?
1
Suppose -5*m = -12*m + 784. Let j = m + -114. What is the units digit of (j/((-1)/1))/(26/39)?
3
Suppose -5*k + 1100 = 5*k. Let q = k + -66. Let a = q - -8. What is the tens digit of a?
5
Let h = -4003 - -22320. What is the ten thousands digit of h?
1
What is the tens digit of (48/(-18)*9)/((-6)/7196)?
8
Let o(m) = m**3 - 3*m**2 + 23*m + 65. What is the units digit of o(15)?
0
Let a be (1 + 8 - -370)*(0 + 1). Suppose 0 = -5*y + 3*o + 483, 6*o - o - a = -4*y. What is the tens digit of y?
9
Suppose -1097 = 4*r + 2311. Let v = -431 - r. What is the units digit of v?
1
Let q = -14494 + 19249. What is the thousands digit of q?
4
Let f = 73 + 12. Let l = 730 - 788. Let d = f - l. What is the tens digit of d?
4
Let b = 309 + -311. What is the tens digit of -237*(3/9 + b)?
9
Let c = 290 + -338. What is the hundreds digit of (-14388)/(-20) - c/80?
7
Suppose -5*l = -4*b - 8, -b - l + 4 = -3. Suppose -39 = -3*f - b. Suppose -17*o = -f*o - 305. What is the units digit of o?
1
Let t(g) = -7*g + 55. Let i = 49 + -73. What is the tens digit of t(i)?
2
Let x(a) = a**3 + 118*a**2 + 16*a - 6. What is the units digit of x(-30)?
4
Let o(h) be the third derivative of -19*h**5/120 + 35*h**4/24 - h**3/3 - 20*h**2. Let f(u) be the first derivative of o(u). What is the hundreds digit of f(-7)?
1
Let x(v) be the second derivative of 6*v**3 + 31*v**2 + 5*v. Let f be x(5). Suppose f = 5*h + 5*p - 2*p, p + 50 = h. What is the units digit of h?
9
Let o be (5 + 2)*-4*27/126. Let x(s) = 19*s - 33. Let c(n) = 10*n - 16. Let r(k) = -7*c(k) + 3*x(k). What is the tens digit of r(o)?
9
Let o(d) = -d**2 + 12*d - 8. Let w be o(8). Let g be (4/3)/(4 + (-92)/w). Suppose c - 17 + g = 0. What is the units digit of c?
9
Let t(m) = m + 17. Let w be t(-17). Suppose w = 3*h - 0*h - 4*q - 483, -616 = -4*h - 4*q. What is the tens digit of 172/129 - h*(-10)/6?
6
Let p = -18511 + 30949. What is the thousands digit of p?
2
Suppose 6*g - 24625 - 16283 = 0. What is the units digit of g?
8
Let k(y) = 2*y**2 + 1. Let i be k(2). Let m = 3057 - 3052. Suppose -548 = -i*u + m*u. What is the units digit of u?
7
Let q(l) = -l**3 + 9*l**2 + 4*l + 2. Let m be q(6). Suppose -o = -5*g + m, 4*g = -o + 67 + 33. Let s = g + -24. What is the units digit of s?
2
What is the tens digit of 7 + 11 + -8 - -12055?
6
Let i = 105 - -813. Suppose 2*l - i = -u - 45, -3*l = -4*u - 1337. What is the hundreds digit of l?
4
Let k be (-16)/(-40) - 3253/(-5). Suppos | {
"pile_set_name": "DM Mathematics"
} |
91?
9
What is the thousands digit of 2395?
2
What is the hundreds digit of 1299?
2
What is the thousands digit of 1662?
1
What is the hundreds digit of 1598?
5
What is the thousands digit of 25586?
5
What is the hundreds digit of 455?
4
What is the hundreds digit of 8766?
7
What is the tens digit of 645?
4
What is the tens digit of 3527?
2
What is the units digit of 7236?
6
What is the units digit of 1355?
5
What is the hundreds digit of 10713?
7
What is the thousands digit of 1433?
1
What is the thousands digit of 42595?
2
What is the hundreds digit of 2549?
5
What is the units digit of 155927?
7
What is the hundreds digit of 162?
1
What is the units digit of 518?
8
What is the tens digit of 59650?
5
What is the hundreds digit of 1489?
4
What is the hundreds digit of 46050?
0
What is the hundreds digit of 2692?
6
What is the hundreds digit of 11182?
1
What is the tens digit of 253?
5
What is the tens digit of 129?
2
What is the units digit of 11577?
7
What is the tens digit of 119?
1
What is the hundreds digit of 19665?
6
What is the thousands digit of 1846?
1
What is the thousands digit of 172911?
2
What is the units digit of 2933?
3
What is the tens digit of 111129?
2
What is the tens digit of 107014?
1
What is the hundreds digit of 13212?
2
What is the units digit of 114?
4
What is the hundreds digit of 9176?
1
What is the hundreds digit of 2950?
9
What is the hundreds digit of 5520?
5
What is the units digit of 32169?
9
What is the thousands digit of 121903?
1
What is the hundreds digit of 17835?
8
What is the units digit of 2678?
8
What is the thousands digit of 2764?
2
What is the tens digit of 58858?
5
What is the ten thousands digit of 11485?
1
What is the tens digit of 110071?
7
What is the units digit of 910?
0
What is the ten thousands digit of 19055?
1
What is the hundreds digit of 10034?
0
What is the units digit of 4628?
8
What is the units digit of 33341?
1
What is the tens digit of 796?
9
What is the hundreds digit of 53289?
2
What is the tens digit of 456?
5
What is the units digit of 4638?
8
What is the hundreds digit of 21982?
9
What is the hundreds digit of 4830?
8
What is the thousands digit of 8767?
8
What is the hundreds digit of 18788?
7
What is the tens digit of 97591?
9
What is the hundreds digit of 19000?
0
What is the tens digit of 5867?
6
What is the tens digit of 1638?
3
What is the ten thousands digit of 39111?
3
What is the units digit of 1425?
5
What is the tens digit of 15398?
9
What is the thousands digit of 84799?
4
What is the thousands digit of 41089?
1
What is the units digit of 6996?
6
What is the thousands digit of 88501?
8
What is the tens digit of 170480?
8
What is the thousands digit of 3349?
3
What is the units digit of 1841?
1
What is the thousands digit of 68712?
8
What is the hundreds digit of 2052?
0
What is the tens digit of 3854?
5
What is the units digit of 7356?
6
What is the tens digit of 31744?
4
What is the ten thousands digit of 30788?
3
What is the thousands digit of 5783?
5
What is the units digit of 32064?
4
What is the thousands digit of 2028?
2
What is the units digit of 5775?
5
What is the thousands digit of 90642?
0
What is the tens digit of 1142?
4
What is the tens digit of 4560?
6
What is the tens digit of 76794?
9
What is the tens digit of 380?
8
What is the tens digit of 8721?
2
What is the ten thousands digit of 69278?
6
What is the hundreds digit of 2558?
5
What is the hundreds digit of 3269?
2
What is the tens digit of 11178?
7
What is the hundreds digit of 4176?
1
What is the tens digit of 639?
3
What is the hundreds digit of 2281?
2
What is the units digit of 2310?
0
What is the units digit of 1159?
9
What is the units digit of 47128?
8
What is the thousands digit of 5626?
5
What is the hundreds digit of 8135?
1
What is the tens digit of 175?
7
What is the ten thousands digit of 13735?
1
What is the tens digit of 89160?
6
What is the tens digit of 562?
6
What is the ten thousands digit of 40957?
4
What is the tens digit of 2017?
1
What is the tens digit of 160?
6
What is the units digit of 21630?
0
What is the tens digit of 21568?
6
What is the units digit of 712?
2
What is the ten thousands digit of 16651?
1
What is the units digit of 105112?
2
What is the units digit of 36295?
5
What is the thousands digit of 88723?
8
What is the tens digit of 135873?
7
What is the units digit of 570?
0
What is the units digit of 579?
9
What is the ten thousands digit of 43990?
4
What is the ten thousands digit of 30851?
3
What is the units digit of 65343?
3
What is the hundreds digit of 9424?
4
What is the ten thousands digit of 22354?
2
What is the hundreds digit of 798?
7
What is the hundreds digit of 1117?
1
What is the hundreds digit of 22248?
2
What is the thousands digit of 132043?
2
What is the tens digit of 17475?
7
What is the thousands digit of 1518?
1
What is the units digit of 269?
9
What is the tens digit of 18648?
4
What is the ten thousands digit of 108626?
0
What is the units digit of 5141?
1
What is the tens digit of 386?
8
What is the hundreds digit of 30527?
5
What is the units digit of 15576?
6
What is the hundreds digit of 19606?
6
What is the units digit of 4034?
4
What is the tens digit of 19962?
6
What is the ten thousands digit of 22735?
2
What is the tens digit of 69653?
5
What is the units digit of 6332?
2
What is the hundreds digit of 116380?
3
What is the thousands digit of 27320?
7
What is the hundreds digit of 18564?
5
What is the tens digit of 2326?
2
What is the hundreds digit of 530?
5
What is the hundreds digit of 649?
6
What is the hundred thousands digit of 106539?
1
What is the hundreds digit of 220?
2
What is the units digit of 22539?
9
What is the tens digit of 3488?
8
What is the thousands digit of 1195?
1
What is the hundreds digit of 8157?
1
What is the thousands digit of 1027?
1
What is the units digit of 3925?
5
What is the hundreds digit of 469?
4
What is the ten thousands digit of 24231?
2
What is the ten thousands digit of 41977?
4
What is the tens digit of 7423?
2
What is the ten thousands digit of 10307?
1
What is the thousands digit of 31140?
1
What is the thousands digit of 6020?
6
What is the units digit of 11751?
1
What is the hundreds digit of 79280?
2
What is the units digit of 2809?
9
What is the thousands digit of 21540?
1
What is the units digit of 4288?
8
What is the thousands digit of 1073?
1
What is the hundreds digit of 809?
8
What is the hundreds digit of 9765?
7
What is the ten thousands digit of 12660?
1
What is the hundreds digit of 33754?
7
What is the hundreds digit of 5168?
1
What is the hundreds digit of 519?
5
What is the hundreds digit of 1642?
6
What is the tens digit of 11676?
7
What is the units digit of 204437?
7
What is the hundreds digit of 371?
3
What is the hundreds digit of 5052?
0
What is the tens digit of 2718?
1
What is the tens digit of 86516?
1
What is the hundreds digit of 166202?
2
What is the units digit of 3981?
1
What is the tens digit of 67431?
3
What is the hundreds digit of 1035?
0
What is the units digit of 730?
0
What is the hundreds digit of 2675?
6
What is the tens digit of 67980?
8
What is the units digit of 754?
4
What is the thousands digit of 2041?
2
What is the units digit of 787?
7
What is the tens digit of 947?
4
What is the thousands digit of 3991?
3
What is the hundreds digit of 568?
5
What is the units digit of 193?
3
What is the tens digit of 44652?
5
What is the thousands digit of 8220?
8
What is the units digit of 13059?
9
What is the ten thousands digit of 43138?
4
What is the thousands digit of 1171?
1
What is the thousands digit of 2439?
2
What is the ten thousands digit of 22934?
2
What is the units digit of 26822?
2
What is the units digit of 521?
1
What is the tens digit of 1262?
6
What is the units digit of 5246?
6
What is the hundreds digit of 2187?
1
What is the units digit of 908?
8
What is the tens digit of 224?
2
What is the hundreds digit of 374?
3
What is the tens digit of 478?
7
What is the hundreds digit of 11999?
9
What is the ten thousands digit of 43974?
4
What is the hundreds digit of 11615?
6
What is the tens digit of 16261?
6
What is the tens digit of 6403?
0
What is the tens digit of 4926?
2
What is the thousands digit of 27073?
7
What is the thou | {
"pile_set_name": "DM Mathematics"
} |
(12 - 6) + -24 + 6 + 63.
51
-38 + (11 - (14 - 17 - ((1 - 18) + -1)))
-42
What is -81 + 27 - (14 + -12 + 3 - 16)?
-43
Evaluate 5 + (76 - 8) + -127.
-54
What is the value of (-124 + 125 - (-92 - (0 + -1))) + (-147 - -137)?
82
What is the value of 229 - 265 - ((-4 - -11) + 11)?
-54
What is the value of 54 + -20 - (-9 + -3 + -11)?
57
(-42 - (-17 - 5)) + 11 - -1
-8
Evaluate (-207 - -56) + 109 - 76.
-118
(70 - 77) + 2 + 0 - (6 + 2)
-13
What is 16 + 13 + -33 + -3?
-7
Calculate (2 - 4) + (-22 - (30 + -1 - -4)).
-57
Evaluate -150 + (-28 - -72 - 0).
-106
Calculate -13 - (11 - (-2 - -34)) - (-38 - (-2 + -4)).
40
What is the value of 106 + (0 - 21 - -8) + -25?
68
Calculate 11 + (16 - 14 - (-40 - (-10 - -16))).
59
What is the value of 24 + -20 - 17 - -8 - (2 + -40 + -1)?
34
What is -1 + 1 + 37 - (-43 - -77 - 35 - -10)?
28
(76 - (-2 + 22 + -12 + -13) - 8) + 5
78
Calculate 21030 + -21013 + (35 - (1 + -3)).
54
2 + 0 + -45 + -14 + 6 + -6 + 7
-50
(3 - 12) + -4 - (-526 - -504)
9
-26 + (16 - (13 + -17 - -36 - 17))
-25
Calculate -1 + 22 + -12 + -6 - 34 - -10.
-21
What is the value of 0 - 2 - (-66 + 174 + -92)?
-18
What is the value of -83 + (6 - (-12 + 4 + 14 + -3 + 13))?
-93
-13 - 39 - (-41 - (-2 + -9))
-22
What is 10 + (-53 + -18 - (-7 - -1)) - (10 - 18)?
-47
What is the value of ((-69 - 13) + 17 - -8) + (-8 - (1 + -22))?
-44
What is 0 + -15 - (18 - (-16 - -25 - -4))?
-20
Calculate -6 - 7 - ((8 - -2) + -34) - 42.
-31
(1 - -3) + -2 + -13 + -10 + 49 + -87
-59
Calculate 44 - (27 - -5 - -18).
-6
What is the value of -91 - (-10 + -51 + -33)?
3
What is the value of (-11 - (-16 + -1)) + 0 + 0 + -9?
-3
Evaluate (146 - 137) + -1 + -30.
-22
What is (38 - -15) + -111 + 63?
5
Evaluate (24 - 0) + -1 + -160 - -17 - -4.
-116
What is the value of -13 + (-5 - -60) + -14?
28
What is 24 - (25 - -83) - (11 + -31)?
-64
What is 32 + -1 - ((855 - 891) + 20 + 2)?
45
Calculate (9 - -5) + 2 + -2 + -42.
-28
Evaluate (1 - 22) + 19 + (13 - (10 + -4 - 2)).
7
What is 18 + -16 - (1 + 4 + -118 + 122 + -90)?
83
What is the value of (-1 - (3 - -2)) + (10 - 55 - (-46 - 7))?
2
Calculate -151 + (72 - -18) - 26.
-87
-1 - 23 - (-1 + 26 - 10)
-39
Calculate 37 - (-68 - (38 - 97)).
46
Evaluate (47 - -55 - 131 - (1 - 12)) + 103.
85
67 - (-103 - (-56 + -146))
-32
-5 - (7 - 6) - -8 - (56 + -7 + -4)
-43
Evaluate (48 - 58) + 47 + 6 + (-4 - -12).
51
What is the value of -5 - (-4 + 18 - 10 - (-1 - (-58 + 2)))?
46
Calculate 69 + 91 + (38 - 112).
86
Calculate 12 + -58 + 28 + -26.
-44
What is the value of (6 - 9) + (1 - (-2 + 7)) + (1 - -9)?
3
Calculate 184 + -86 + -67 - 109.
-78
What is the value of (-2 - -8) + -3 + -53 - (-84 - (-146 - -53))?
-59
What is 76 - (13 - (75 - 206))?
-68
What is the value of -451 - -457 - (-1 + -41)?
48
Calculate 1 + 1 + -4 - (73 + 0) - (274287 + -274272).
-90
What is the value of 21 + (-55 - -25) - (121 - 70)?
-60
What is the value of (-2 + -8 - -5) + 21 - -3 - -39?
58
Evaluate 10 - 4 - ((20 - 11) + -10 - 8).
15
What is 0 + -87 + 0 - ((-164 - -163) + -17)?
-69
Evaluate (112 - 194) + -58 + 48.
-92
What is the value of -2 + (200 + -204 - (4 + 1 - -2)) + 53?
40
What is -18 + (12 - 17) + 31?
8
What is the value of (-9 - -36) + -30 - (-3 - 14)?
14
What is the value of (2 - 2) + (-10 - ((-48 - 43) + (5 - -11)))?
65
85 - (4 + (-3 - (1 + 3))) - (1037 + -1036)
87
What is the value of -52 + -4 + 14 - (-4 + 6 + 1 + -8)?
-37
What is the value of (-20 + 44 - -28) + -21?
31
(53 - (42 - (16 - 1))) + -40
-14
Calculate (3 - (101 - -8)) + -3 + (-4 - -11) + -2.
-104
Evaluate (-25 - (-5 + -17)) + 18 + 2 + -21.
-4
49 + 129 + (-134 - 135)
-91
Evaluate (44 - 12) + (-111 + 25 - 19).
-73
0 + (30 - ((-8 + -3 - -22) + -4)) + -5
18
What is (-19 + 19 - (-4 + -3 + 10) - 45) + -6?
-54
Evaluate -43 + -60 + 152 - 78.
-29
What is -40 - (3 - (10 - -9)) - (-11 + 11)?
-24
-13 - (26 - 108) - 19
50
Calculate -15 - -67 - 37 - 14.
1
1 + -14 - ((-2 - -51) + -43)
-19
Calculate 19 - (62 + -132 - -20).
69
What is the value of 61 - 44 - 13 - (0 + -5)?
9
What is the value of 49 + 1 + (-1 - (1 - -5 - (77 - 63)))?
57
Evaluate 4 + -54 - (-7 + (-19 - (-13 - 4))) - -1.
-40
Evaluate -47 + (-15 - (23 + -38) - -4) + -5.
-48
What is the value of 19 + (6 - (-24 + 23 + (-7 - 7)))?
40
Calculate (94 - ((-1 - -5 - (-19 - -23)) + 10)) + -12.
72
What is 28 - (2 + -2) - (-5963 + 5999)?
-8
What is the value of -76 + -8 + 38 + 45?
-1
45 - 8 - (331 + -349)
55
(1 - ((-13 - 2) + -3)) + -13
6
Calculate (13 - 10) + (25 + -22 - (2 - (-27 - 0))).
-23
65 - 158 - (20 + -1) - -30
-82
-12 - (-2 + -31 - (-76 - -55))
0
What is -56 + (5 + -2 - ((3 - 7 - -27) + -13))?
-63
Calculate -18 + 12 - (-105 + (1 - -5)) - 2.
91
Calculate (10 - (28 - (6 + 7))) + 41 - -1.
37
Calculate -15 + 18 + 13 + 9 + -9.
16
What is (-29 - -13) + (34 - 7) - (-12 + 1)?
22
Calculate 5 - 5 - (3 - -39 - (-16 + 19)).
-39
What is -185 + (-113 + 140 - (-28 + 9))?
-139
What is 3 - (-7 + (25 - 7)) - 31?
-39
What is the value of 53 + (-49 - (-121 + 63))?
62
Evaluate (85 - 103 - (-2 - 0)) + (-4 - (0 - -1)).
-21
Calculate 30 - (101 - 25 - 56).
10
What is (-57 - -39) + (65 - 30)?
17
What is (0 - -2 - -92) + (367 + -216 - 156)?
89
Evaluate 1 + 78 - (2341 + -2265).
3
Calculate (-3 - (-14 - -3)) + 50 + -49.
9
What is -6 + 4 + (14 - (-13 + 3 - -22))?
0
Calculate (3575 - 3601 - (2 - -26)) + -13 + 1 + 0.
-66
Calculate -16 + (14 - (-6 - (-24 - -27)) - -107).
114
-10 - (-36 - (-25 + (-23 - -45)))
23
Evaluate (1 - (6 - 6)) + (68 - (8 - 9 - -9)).
61
-1 + (-51 - (-11 + (32 + 0 - 9)) - 1)
-65
-182 + 122 + (1 - -2) + 16
-41
Calculate 36 + -26 + -16 + 9 - (2 + -27).
28
(2 - 28 - -26 - -2) + -1 + -51
-50
Evaluate -381 - -476 - (0 + 49).
46
What is the value of 3315 + -1642 + -1659 - (-27 - (-1 + 0 + 0))?
40
Evaluate -31 + 161 + -82 - 125.
-77
What is the value of (-3 - 63) + 55 - 35?
-46
What is 85 - (17 - (-25 + 30 - 8))?
65
Evaluate -13 + (31 - -1) + -6 + (-1 + 0 - 72).
-60
Evaluate 21 + (50 - -1 - (-2215 + 2256)).
31
Calculate (-9 - 5 - -5) + (50 - 26 - -45).
60
What is the value of (-14 + -6 - (0 + -67)) + (-16 - (-5 - -2))?
34
What is the value of 12 + -9 + 16 - (-17 - (-3 - 4))?
29
(-2 - 86) + (-54 - -100)
-42
Calculate (84 - -9) + (1 - 62).
32
-7 + -3 + ((26 - 13) + -14 - -66) + -3
52
(-26 - -4) + 22 + -5 + 1 - 12
-16
Evaluate 116 - 23 - 25 - (-8 + 1 + 0 + 2).
73
Evaluate -7 + (8 - -16 - 52).
-35
-4 - 19 - 8 - 7 - 6
-44
What is 16 + -37 + -40 + 4 + 151?
94
Evaluate 4 + 108 + -4 + -25 + 4.
87
What is 28 + 1 - (-270 + 242)?
57
What is the value of -4 + 39 + -83 - -25?
-23
What is the value of (30 - -5) + -22 + 21?
34
Calculate 34 + -43 + 52 + -49.
-6
What is (-24 - 2 - 50) + 30 + -1 + 7?
-40
Calculate (33 + -11 - (-19 + 20)) + -81.
-60
Calculate 21 - (-67 + (-24 - -71)).
41
Calculate -48 + 1 - (5622 - 5644).
-25
-194 + (146 - (75 - 30))
-93
Evaluate (-26 - (-13 + -6) - (-29 - -5)) + 3.
20
(-28 - ((-9 + 6 - -10) + -2)) + 0
-33
(-5 - (-6 + -9 - -8)) + -5 + -20
-23
What is 8 + 4 - 46 - (60 + -44 - (2 - -8))?
-40
What is (2 + -27 - (-77 + -51)) + -8 - 18?
77
Evaluate 26 - (13 - 17) - 24.
6
-104 - (-247 + -11 + 57)
97
What is the value of -2 + (-11 - -15 - 6) + 46 + 19?
61
What is (6 - -1) + -2 + 12 + -22 + 16 + 10?
21
Calculate 607 - 546 - (11 + 0 + -2).
52
19 - (35 - 47) - -10
41
What is (2 - 8) + (-79 - -171 - 0)?
86
What is 73 + -71 + -25 + 109 + 7?
93
What is -17 - 3 - (-4 - -6 - (76 + -14))?
40
What is the value of -7 + 32 + -31 - (-24 + 0 + 0) - 11?
7
Evaluate -12 + 84 - (-17 + 1 - -5 - 1).
84
Calculate (-206 - -201) + (-77 - (-13 + -5 + 10)).
-74
What is 0 - -7 - -15 - (-328 + 311)?
39
-19 - (-5 - -5) - -3 - (3 + -6 + -1)
-12
Evaluate -9 - ((8 - -5) + 27 + -14) - (-8 + 1).
-28
What is the value of 8 - (-22 + 3 - (-11 - (-28 - -30))) - -17?
31
What is the value of -55 + (61 - 52) + -27?
-73
Calculate -128 + -18 + 71 + 105.
30
Evaluate 84 + -1 + (24 + -35 - 4).
68
What is 13 + (13 + 25 - -2 - 8)?
45
Calculate 5 + -64 + 4 + (-54 - -79).
-30
What is 3 + 3 - (-31 + 103 + -15 + -12)?
-39
Calculate 52 + -11 + (6 + 1 - 14).
34
What is the value of 3 + -2 + 0 + (12 + -58 - -50)?
5
Calculate (68 - 25) + -19 - (0 - 20).
44
Calculate 137 - (233 - 106) - ((2 - (-1 + -30)) + 2).
-25
What is the value of (-5 - 5 - -13 - 26) + -119 + 221?
79
Evaluate -83 + 116 - (-26 + 11).
48
-77 + (-411 + 413 - (-3 + 2 + (6 - 5)))
-7 | {
"pile_set_name": "DM Mathematics"
} |
sequence uue when three letters picked without replacement from {u: 3, e: 1}.
1/4
Calculate prob of sequence hrb when three letters picked without replacement from {h: 2, l: 1, p: 7, r: 1, b: 2, t: 1}.
1/546
Calculate prob of sequence qx when two letters picked without replacement from {x: 4, q: 10}.
20/91
Two letters picked without replacement from {m: 1, e: 1, d: 4, r: 1, p: 1}. What is prob of sequence ed?
1/14
Calculate prob of sequence le when two letters picked without replacement from ehlsd.
1/20
Calculate prob of sequence edd when three letters picked without replacement from {d: 10, n: 6, e: 2}.
5/136
Calculate prob of sequence gg when two letters picked without replacement from gdggddgg.
5/14
What is prob of sequence mm when two letters picked without replacement from {m: 11, l: 5}?
11/24
Three letters picked without replacement from {u: 2, a: 2, l: 3, s: 4, w: 2, n: 1}. What is prob of sequence uss?
1/91
What is prob of sequence wwq when three letters picked without replacement from cjcqwwkjkwjqwjwjp?
1/102
Calculate prob of sequence llll when four letters picked without replacement from {l: 7}.
1
Three letters picked without replacement from ftffhts. Give prob of sequence fft.
2/35
Three letters picked without replacement from qqiqqqqqqqqqii. Give prob of sequence iqq.
55/364
What is prob of sequence rxq when three letters picked without replacement from {x: 4, h: 1, y: 7, q: 2, r: 2}?
1/210
What is prob of sequence sxxs when four letters picked without replacement from jusjxuuuuusuuxuuujs?
1/7752
Calculate prob of sequence zv when two letters picked without replacement from {y: 3, v: 1, z: 2, x: 1}.
1/21
Four letters picked without replacement from {p: 3, e: 5}. Give prob of sequence pppe.
1/56
Three letters picked without replacement from nainoaion. What is prob of sequence nnn?
1/84
Two letters picked without replacement from pppsxvquxxpvpvx. What is prob of sequence ps?
1/42
Calculate prob of sequence ttt when three letters picked without replacement from ttt.
1
Two letters picked without replacement from {z: 2, r: 5, e: 3, k: 1, h: 1}. Give prob of sequence zr.
5/66
Calculate prob of sequence igi when three letters picked without replacement from hiviivhvgvi.
2/165
Four letters picked without replacement from {i: 1, u: 2, m: 1, x: 2}. Give prob of sequence ixxx.
0
What is prob of sequence xk when two letters picked without replacement from taxsxsaaaatkatk?
2/105
What is prob of sequence jfk when three letters picked without replacement from {j: 1, f: 1, x: 3, l: 2, n: 4, k: 1}?
1/1320
Calculate prob of sequence zw when two letters picked without replacement from {z: 7, w: 1}.
1/8
Three letters picked without replacement from eprck. What is prob of sequence kcr?
1/60
Calculate prob of sequence wgiu when four letters picked without replacement from wuggguuiwwuewuuwwigu.
14/4845
Two letters picked without replacement from axyxzzazcxyyc. Give prob of sequence ya.
1/26
Calculate prob of sequence vrvv when four letters picked without replacement from vrvrvrrrvvrrrrvrrvr.
35/1292
Four letters picked without replacement from {g: 1, c: 1, h: 2, l: 1}. What is prob of sequence gclh?
1/60
Three letters picked without replacement from zzzczzzgzuzgzc. Give prob of sequence ucc.
1/1092
What is prob of sequence pip when three letters picked without replacement from {i: 1, j: 2, m: 2, c: 1, p: 6}?
1/44
What is prob of sequence avn when three letters picked without replacement from {v: 1, h: 3, a: 1, n: 2}?
1/105
Two letters picked without replacement from qxsxnpqsqspxyqx. Give prob of sequence nx.
2/105
Four letters picked without replacement from {c: 1, d: 3, r: 1, a: 2}. Give prob of sequence dddc.
1/140
Calculate prob of sequence rnf when three letters picked without replacement from {r: 1, n: 6, f: 12}.
4/323
Three letters picked without replacement from kqkgggdkkgqgaakggqg. What is prob of sequence gga?
56/2907
What is prob of sequence ztd when three letters picked without replacement from tzihdhf?
1/210
Calculate prob of sequence fff when three letters picked without replacement from fffj.
1/4
Three letters picked without replacement from iwiiiiiiiiiiiiiiiwi. What is prob of sequence iiw?
16/171
Four letters picked without replacement from zezauucacrcrrre. Give prob of sequence zaer.
4/4095
Four letters picked without replacement from ccfcffccffcfcfccff. Give prob of sequence cccf.
21/340
Four letters picked without replacement from yirllryyliyl. What is prob of sequence iirl?
2/1485
Two letters picked without replacement from bsssbb. What is prob of sequence sb?
3/10
Calculate prob of sequence tttp when four letters picked without replacement from ttttttptttttp.
3/26
Calculate prob of sequence ixe when three letters picked without replacement from {e: 4, i: 5, x: 3}.
1/22
Two letters picked without replacement from vivvvavasa. Give prob of sequence aa.
1/15
What is prob of sequence lu when two letters picked without replacement from uuulluuu?
3/14
Three letters picked without replacement from {b: 2, d: 2}. Give prob of sequence bdd.
1/6
What is prob of sequence ctc when three letters picked without replacement from {h: 4, c: 7, t: 7}?
49/816
Two letters picked without replacement from wtywtwsysssvtswvyvy. Give prob of sequence vy.
2/57
Calculate prob of sequence uerg when four letters picked without replacement from {e: 2, j: 2, g: 1, r: 1, d: 3, u: 10}.
5/23256
Two letters picked without replacement from {l: 1, h: 6, o: 7, q: 6}. Give prob of sequence qh.
9/95
Three letters picked without replacement from {w: 2, z: 4, g: 2, v: 4, d: 5}. What is prob of sequence zgg?
1/510
Two letters picked without replacement from {k: 9}. What is prob of sequence kk?
1
Two letters picked without replacement from xtooozookztozzo. Give prob of sequence zt.
4/105
What is prob of sequence xvv when three letters picked without replacement from vxjoxomvnvnmxm?
3/364
Two letters picked without replacement from {y: 1, q: 7, d: 3, t: 1, j: 2, c: 3}. Give prob of sequence cj.
3/136
Calculate prob of sequence pnp when three letters picked without replacement from {p: 2, r: 1, n: 1}.
1/12
Four letters picked without replacement from egazge. Give prob of sequence ggza.
1/180
What is prob of sequence ddd when three letters picked without replacement from {d: 9}?
1
Four letters picked without replacement from gwzwwfaawwawg. What is prob of sequence fawa?
3/1430
What is prob of sequence ivb when three letters picked without replacement from {b: 1, q: 3, i: 2, v: 13}?
13/2907
Calculate prob of sequence witx when four letters picked without replacement from xtwtiiiippxwrr.
4/3003
Two letters picked without replacement from lsszsvgvzzk. Give prob of sequence gk.
1/110
What is prob of sequence wm when two letters picked without replacement from fmwow?
1/10
Two letters picked without replacement from dedez. Give prob of sequence ze.
1/10
What is prob of sequence naa when three letters picked without replacement from {n: 1, a: 5, v: 5}?
2/99
Four letters picked without replacement from vvzcttzzvttvcctctot. What is prob of sequence occz?
1/2584
Four letters picked without replacement from mcmfvscscsnv. What is prob of sequence vnvm?
1/2970
Calculate prob of sequence qb when two letters picked without replacement from {p: 1, v: 2, b: 4, q: 1, f: 9}.
1/68
What is prob of sequence dz when two letters picked without replacement from zdpdahaaheedh?
1/52
Calculate prob of sequence pxpx when four letters picked without replacement from xxpxpxxxxxpx.
2/55
Two letters picked without replacement from fgggffffugf. Give prob of sequence fg.
12/55
Two letters picked without replacement from accocacaaaeaoccajccc. What is prob of sequence co?
9/190
What is prob of sequence jj when two letters picked without replacement from bbjbbbbbjjbbbbbbbbj?
2/57
What is prob of sequence xp when two letters picked without replacement from xexxxexxxpxxxxxppx?
13/102
What is prob of sequence mvbs when four letters picked without replacement from {v: 1, y: 1, s: 1, b: 1, r: 1, m: 2}?
1/420
Three letters picked without replacement from jjjjjhjjhjjj. What is prob of sequence jhh?
1/66
Four letters picked without replacement from xhjsshjhshhjxhs. What is prob of sequence ssjh?
3/455
Two letters picked | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of -a*d**2*y**2 + 2*a*d*m**2*y + a*d*m**2 - 2*a*d*y + 3*a*m**2*y + 670*a*y**2 - 289125*d**2*m**2*y**2 - 2*d*m**2*y**2 wrt d.
-2*a*y**2 - 578250*m**2*y**2
Find the second derivative of 32093167*i**3 + 5*i + 21204869.
192559002*i
Find the first derivative of k**2 + 10767170*k - 296791411 wrt k.
2*k + 10767170
What is the derivative of 47*a**3 - 2*a**2 + 594534*a*d + 239837753*d wrt a?
141*a**2 - 4*a + 594534*d
What is the second derivative of -65018*i**2*r*t + 31*i**2*r + 26692498*i*r - 6*i*t + r*t wrt i?
-130036*r*t + 62*r
Find the third derivative of -7*a**3*d*u + 1230958*a**3*d - 2*a**2*d*u - 81843*a**2*d - 2*d*u + 3*u + 2 wrt a.
-42*d*u + 7385748*d
Differentiate -11967639*m**2*r - 2*m**2 - 14401372*m + 6*r**3 with respect to r.
-11967639*m**2 + 18*r**2
Find the third derivative of 77354626*n**3 + 164*n**2 + 85*n - 967 wrt n.
464127756
What is the third derivative of -28706*d*l**4 + 2*d*l**3 + 3*d*l - 5*d + 2*l**4 - l**3 + 4*l**2 + l + 4309 wrt l?
-688944*d*l + 12*d + 48*l - 6
What is the second derivative of -775281*g**3*y**2 - 24*g**3*y - 4*g*y**2 - 2*g*y + 552*g - 17*y**2 + 2*y - 60 wrt g?
-4651686*g*y**2 - 144*g*y
What is the second derivative of 2*o**3 - 219674400*o**2 - 666943874*o wrt o?
12*o - 439348800
Find the third derivative of -9*f**3*y**3 - 16*f**3*y**2 - 2*f**3 + 4523*f**2*y**3 + 4*f**2*y - 31551 wrt y.
-54*f**3 + 27138*f**2
Find the third derivative of -51*r*w**3 - 16*r*w**2 - 133341*r*w - 40361*w**3 - w wrt w.
-306*r - 242166
What is the first derivative of 11208288*f*g + 1215*g - 1010 wrt f?
11208288*g
Find the first derivative of -i**3*x - 64760*i**3 + 100486*i**2*x - 2*i**2 - 30*i*x - 3*i + 36 wrt x.
-i**3 + 100486*i**2 - 30*i
Find the first derivative of 837202*b**4 - 886453.
3348808*b**3
What is the first derivative of -26901*j**3*o*y + 263*j**3*o - 311*j**3*y + 148*j**2*y + 15*j*y wrt o?
-26901*j**3*y + 263*j**3
Find the third derivative of -468343273*r**4 - 2*r**2 - 14856018*r wrt r.
-11240238552*r
What is the third derivative of -506855*g**4*r**2 + 17*g**3*r**3 + 52*g**2*r**3 + 4236*g**2 + 11*r wrt g?
-12164520*g*r**2 + 102*r**3
Find the second derivative of -7*z**5 + 3*z**4 - 2002025*z**2 - 134987*z - 538.
-140*z**3 + 36*z**2 - 4004050
What is the second derivative of -7001*p**5 + p**3 - 166*p - 29433?
-140020*p**3 + 6*p
What is the derivative of 89622146*y - 61616073?
89622146
Find the second derivative of -169227361*t**2 - 103764288*t.
-338454722
What is the second derivative of -3044408*n**2 - 315619*n - 1?
-6088816
What is the third derivative of 808182*a*b*s**3 - a*b*s + 7*a*s**3 + a*s**2 + 2*b*s**3 - b*s - 9*b - 29774*s**2 wrt s?
4849092*a*b + 42*a + 12*b
Find the first derivative of 58512*b**4 - 5931*b - 587032123.
234048*b**3 - 5931
Find the third derivative of -6648237*z**5 + 21308952*z**2 wrt z.
-398894220*z**2
Find the second derivative of 46203*h**5 + 9*h**4 - 6*h**3 - 20643805*h.
924060*h**3 + 108*h**2 - 36*h
What is the second derivative of -202195705*w**5 - 147200140*w?
-4043914100*w**3
What is the second derivative of -3*c*q**2*y - 13*c*q**2 - 61*c*q - 586*c - 147*q**2*y + 2*q*y - 50 wrt q?
-6*c*y - 26*c - 294*y
What is the second derivative of -m**2*z**2 - 3996270*m**2*z - 15*m**2 - 113888754*m*z**2 + 2*z**2 wrt z?
-2*m**2 - 227777508*m + 4
Find the first derivative of -76841096*d**3 - 328867378 wrt d.
-230523288*d**2
What is the derivative of -17110178*x + 24681939?
-17110178
Find the first derivative of 997052*o**3 - 11*o**2 + 33322359.
2991156*o**2 - 22*o
Find the first derivative of 100864807*v**3 + 110988768 wrt v.
302594421*v**2
What is the second derivative of 17254*u**5 + 1897*u**3 + 55237026*u wrt u?
345080*u**3 + 11382*u
What is the second derivative of -g**2*i**2 - 1121119*g**2 - 1006*g*i**2 + 4*g*i - 2*g + 3*i**2 + 9 wrt g?
-2*i**2 - 2242238
Find the second derivative of -33795591*b**2 + 999379*b - 6.
-67591182
What is the first derivative of -24229*r**3 - 2243*r + 33994956?
-72687*r**2 - 2243
What is the second derivative of -209063*d**3*k**2 + 10*d**2*k**2 - 1732568*d*k**2 - 3*d wrt d?
-1254378*d*k**2 + 20*k**2
Find the first derivative of -192*l**2*v + 6440571*l**2 + 47385*l*v**4 - 3*l wrt v.
-192*l**2 + 189540*l*v**3
Find the third derivative of 2*i**5 - 1565225*i**3 + 13480667*i**2 + 2 wrt i.
120*i**2 - 9391350
What is the third derivative of 38589214*h**4 - 6*h**3 + h**2 + 195874586?
926141136*h - 36
Find the second derivative of 5*v**5 + 2*v**3 + 82599*v**2 - 9947575*v wrt v.
100*v**3 + 12*v + 165198
What is the first derivative of 2689*n**3 - n**2 + 643*n + 6306152 wrt n?
8067*n**2 - 2*n + 643
Find the second derivative of -22644993*z**3 + 7604998*z - 2.
-135869958*z
Find the first derivative of -3*a**2*y*z - 3269037*a**2 + a*y*z + 23*y*z - 326*y - 2*z + 22 wrt a.
-6*a*y*z - 6538074*a + y*z
What is the second derivative of -21822*u**3 + 12653*u**2 - 26*u - 371728 wrt u?
-130932*u + 25306
Find the third derivative of -5*t**3*v*y**2 + 6924*t**3*v - 2*t**2*v*y**2 - 2*t**2*y - t*v - 189*t*y**2 - t*y - 95*v*y wrt t.
-30*v*y**2 + 41544*v
Find the first derivative of 14*c**4 - 948335*c*p**2 - 15085474*p**2 wrt c.
56*c**3 - 948335*p**2
Find the second derivative of -6178634*u**2 - 2*u + 9490132.
-12357268
Find the second derivative of 229674993*n**5 - 7464569*n - 2.
4593499860*n**3
What is the second derivative of 51162427*w**5 - 108004120*w?
1023248540*w**3
What is the third derivative of 18034*q**6 + q**5 - 4*q**4 - q**2 + 1311294*q?
2164080*q**3 + 60*q**2 - 96*q
What is the second derivative of o**3*s**4 + 2*o**3*s - 5*o**2*s - 2810697*o*s**5 + 393388*o wrt s?
12*o**3*s**2 - 56213940*o*s**3
What is the derivative of -1854151*k + 9960620?
-1854151
What is the second derivative of -455178449*a*q**4 - 45953*a*q - 602*q wrt q?
-5462141388*a*q**2
Find the second derivative of -3*k**4 - 15979*k**3 - 68*k**2 + 63841603*k - 2 wrt k.
-36*k**2 - 95874*k - 136
What is the second derivative of -346*q**4 + 11867*q**2 + 14600*q + 292?
-4152*q**2 + 23734
Differentiate 11*h**3 + 583*h**2 - 264*h - 56747918.
33*h**2 + 1166*h - 264
Find the second derivative of 41*h**3*z**2 - 15*h**3*z + 16*h**2*z**2 + h**2*z + 20*h**2 + 3467*h*z**2 - z**2 + 400*z + 33 wrt z.
82*h**3 + 32*h**2 + 6934*h - 2
Find the second derivative of -9348621*u**4 - 32361686*u wrt u.
-112183452*u**2
Differentiate 90352180*g**4*v - 470305*v - 121 wrt g.
361408720*g**3*v
Find the second derivative of 85673231*b**2 + 1536839*b + 10.
171346462
What is the second derivative of d**3*n**2 - 11*d**3 - 2609*d**2*n**2 - 781086*d**2*n - 1255*d*n**2 + d*n wrt n?
2*d**3 - 5218*d**2 - 2510*d
What is the second derivative of -51*v**3*y**4 - 16*v**3*y - v**2*y + 2102*v**2 + 3*v*y - 107411*y**5 + 6*y wrt y?
-612*v**3*y**2 - 2148220*y**3
Differentiate -535753109*u**2 + 505381779.
-1071506218*u
What is the first derivative of 172109568*w*y**2 + 153723911*y**2 wrt w?
172109568*y**2
Find the second derivative of -47000012*z**2 - 75131163*z wrt z.
-94000024
Differentiate 24795837*o*t + 3369762*o - 2 wrt t.
24795837*o
Differentiate 2*a*b*d - 283*a*b*g - 2*a*d + 15*a*g - 389*a - 228*b*d*g - 22*b*d - b + 2*d - 13 wrt g.
-283*a*b + 15*a - 228*b*d
Find the second derivative of 18444500*d**2*p**2 + 2*d**2*p - 5*d*p**2 - 29*d*p + 40*d - 2*p**2 + 577 wrt d.
36889000*p**2 + 4*p
Find the first derivative of 265*r**3 + 135550*r + 905758606.
795*r**2 + 135550
Find the second derivative of -2330*l**2*m**2 - 3*l**2*m - 40*l**2 - 5*l*m**2 + 18*l*m - 11*l + 71*m**2 + 16*m - 4 wrt m.
-4660*l**2 - 10*l + 142
What is the derivative of 14732*c**3*j + 33*c**3*t - 540*c + 181*j*t + 206*t wrt j?
14732*c**3 + 181*t
What is the first derivative of -847*b*n - 192256279*b - 2724*n**3 wrt n?
-847*b - 8172*n**2
Differentiate 10735800*k + 45844.
10735800
Find the third derivative of 2873*s**5 + 2771*s**3 + 19*s**2 + 962*s + 629 wrt s.
172380*s**2 + 16626
What is the first derivative of -494985*o**2 - 21*o - 2741511?
-989970*o - 21
Find the third derivative of 6*o**6 - 325184*o**5 - 26094980*o**2 + 1.
720*o**3 - 19511040*o**2
Find the third derivative of -212570*b*h**3 - 2*b*h**2 - 45*b*h + h**6 - 3*h**4 - 2018*h**2 wrt h.
-1275420*b + 120*h**3 - 72*h
What is the first derivative of 20103552*d + 6956608?
20103552
Find the first derivative of -175264362*h + 240 | {
"pile_set_name": "DM Mathematics"
} |
e.
p**(91/8)
Simplify (a**8/a**4)**12 assuming a is positive.
a**48
Simplify (q/q**(-13))**22 assuming q is positive.
q**308
Simplify (w**(-6))**(1/35) assuming w is positive.
w**(-6/35)
Simplify (((n*n/(n*n**(-2/3))*n)/n)/(((n*n**(-3/8)*n*n)/n*n)/n))**36 assuming n is positive.
n**(3/2)
Simplify (h**(-2/63)/h**(-21))**(9/7) assuming h is positive.
h**(1321/49)
Simplify (a**(2/5)/a**6)/(a/a**(2/13)*(a*a**7)/a*a) assuming a is positive.
a**(-939/65)
Simplify o**3*o*(o**(-5)*o)/o*(o**0/o)**(-6) assuming o is positive.
o**5
Simplify ((h*h*h**(7/5)/h)/h*h)/h*h/(h/(((((h/h**21)/h)/h)/h)/h*h)) assuming h is positive.
h**(-108/5)
Simplify (c*(((c/(c*c*c*((c**(-15)/c)/c)/c))/c)/c)/c)/c**14 assuming c is positive.
1
Simplify (o**28*o)/(o*o**(-37)) assuming o is positive.
o**65
Simplify (p**(-17)*(p/(p/(p/(p/p**(-7/5)))))/p)**(-4/19) assuming p is positive.
p**(388/95)
Simplify (s/s**1)**26*s**(2/15)*s**(-2/9)*s assuming s is positive.
s**(41/45)
Simplify (f**(1/10)/f)**(-19) assuming f is positive.
f**(171/10)
Simplify (a/a**(-5/3)*a)/(a**(-4/3)/a) assuming a is positive.
a**6
Simplify ((c*((c**(-2)*c)/c)/c*c)**(35/3))**(-28) assuming c is positive.
c**(980/3)
Simplify (z**(3/2))**(-43) assuming z is positive.
z**(-129/2)
Simplify (h**(-6/11)*h*h)/h*h*h**(1/15) assuming h is positive.
h**(251/165)
Simplify ((s**10/s)**(3/8))**(2/35) assuming s is positive.
s**(27/140)
Simplify (x/(x**(1/4)*x)*x)/(x/x**18) assuming x is positive.
x**(71/4)
Simplify ((i/((i*i*(i*i**(-8/5))/i*i*i)/i*i)*i)/i**(-2/25))**35 assuming i is positive.
i**(-56/5)
Simplify (l**(2/3)/l)**35/(l**(1/4)*l)**(-3/20) assuming l is positive.
l**(-551/48)
Simplify a**(-22)/a**(5/12) assuming a is positive.
a**(-269/12)
Simplify b**(1/42)*b**(-3/13) assuming b is positive.
b**(-113/546)
Simplify ((z/(z**(-25)/z))/z)/(z*z**(1/6)*z) assuming z is positive.
z**(143/6)
Simplify ((n*n/(n**(-3/11)*n))/n)**(-41) assuming n is positive.
n**(-123/11)
Simplify g**(-4/7)*g*g**(-1/15)*g*(g**1/g)/(g**(2/29)*g) assuming g is positive.
g**(892/3045)
Simplify (q*(((q*q/q**(-1/4)*q)/q)/q)/q)**24/((q*q**(1/10))/q*q**(-6)) assuming q is positive.
q**(359/10)
Simplify (r/(r*r**(-11/6)*r*r))/(r/(r/r**2)) assuming r is positive.
r**(-13/6)
Simplify (m**0)**(-33/2)*(m**(-1/8)/m)/m**(-1/7) assuming m is positive.
m**(-55/56)
Simplify (((x/(x/x**(-4/9))*x)/x)/x)**(-5) assuming x is positive.
x**(65/9)
Simplify (v**(-19))**49 assuming v is positive.
v**(-931)
Simplify ((r*r/((r*(r*r**(10/7))/r)/r*r)*r)/r)**(-15) assuming r is positive.
r**(45/7)
Simplify (g**11/g)**9 assuming g is positive.
g**90
Simplify (t**(-9/8)/t)/((t*t**18)/t) assuming t is positive.
t**(-161/8)
Simplify (p*p*p**(-8/3))/p**(-26) assuming p is positive.
p**(76/3)
Simplify (u**(-2/31)*u**(-10))**(4/9) assuming u is positive.
u**(-416/93)
Simplify (q/q**(2/5)*q)**32 assuming q is positive.
q**(256/5)
Simplify (l**(-3/2)/((l**(5/4)/l)/l*l))/(l**(-8)/(l**(-2/17)*l)) assuming l is positive.
l**(485/68)
Simplify ((t*t*t*t**(-4))/(t*t*t**(-1/2)))/(t**(-1/3)*t)**(1/2) assuming t is positive.
t**(-17/6)
Simplify ((v/(v**(2/7)/v*v))**50)**(-4/3) assuming v is positive.
v**(-1000/21)
Simplify ((x**9*x*x)/x*x**(2/51))**(-22) assuming x is positive.
x**(-11264/51)
Simplify (n**7/(n*n**(-13)))**3 assuming n is positive.
n**57
Simplify ((q*q*q/q**(-2/5)*q*q*q*q)/(q/q**(2/27)))**(-11/6) assuming q is positive.
q**(-4807/405)
Simplify (f**(-14)*f)/(f/(f/f**(8/3))) assuming f is positive.
f**(-47/3)
Simplify ((a**(-1/2))**(-15/8))**(2/5) assuming a is positive.
a**(3/8)
Simplify x**(2/35)/x*x**(-31) assuming x is positive.
x**(-1118/35)
Simplify ((z*z*z/(z*z*(z*z/((z**(2/3)*z*z)/z*z))/z)*z)**(3/4))**(-8/9) assuming z is positive.
z**(-22/9)
Simplify ((((k/((k/((k/(k**0/k*k))/k*k)*k*k)/k*k))/k*k)/k)**(3/7))**(-40) assuming k is positive.
k**(240/7)
Simplify (s/(s**9/s))/s*s**16 assuming s is positive.
s**8
Simplify (o**7/o)/(o*o*o**(-4/9)/o) assuming o is positive.
o**(49/9)
Simplify (a**0/a)**(-25)/(a**(1/10)*a**(-1)) assuming a is positive.
a**(259/10)
Simplify (z**(-6/17))**(-7/2) assuming z is positive.
z**(21/17)
Simplify ((k/k**13)/k)**(1/9) assuming k is positive.
k**(-13/9)
Simplify s*s/s**(2/9)*s**(-3)*s/(s/(s*s**(-3)))*s*s*(s**(-1)*s)/s*s assuming s is positive.
s**(-11/9)
Simplify ((r/(r*r**(-1/7)/r*r))/(r/(r/(r/r**(3/4)))))**(-1/29) assuming r is positive.
r**(3/812)
Simplify s*s**(-4)*s*s**6*s**(-4)/(s*s**(-1)) assuming s is positive.
1
Simplify (q*(q/(q*q*q**30/q))/q*q)/q**8 assuming q is positive.
q**(-37)
Simplify p**(-2/17)/(p*(p/(p/p**(-6/13)))/p) assuming p is positive.
p**(76/221)
Simplify u*u**(-3/25)*u*u**(-17)*u assuming u is positive.
u**(-353/25)
Simplify (f**6*(f*f/(f/(f/(f**(-1/4)*f))*f))/f)/((f**(5/3)/f*f)/f**(-1/8)) assuming f is positive.
f**(83/24)
Simplify (i**(-1/5)/i)**(-2/147) assuming i is positive.
i**(4/245)
Simplify (j**(-2/31)*j**(-12/11)/j)**(-36) assuming j is positive.
j**(26460/341)
Simplify (((q*q**2)/q)/q*q*q/q**(2/11)*q)**(-24) assuming q is positive.
q**(-1008/11)
Simplify (f*f*f**1)**(-1/18)/(f*f**0*f)**(2/15) assuming f is positive.
f**(-13/30)
Simplify (((v*v**(-2))/v)/v**(2/3))/(v**(2/5)*(v/((v/v**(-2/23))/v))/v*v) assuming v is positive.
v**(-1373/345)
Simplify (w**(-1/4))**(-38)*w**(3/2)/(w/(w/(w/((w**(-2/21)*w)/w*w)))) assuming w is positive.
w**(229/21)
Simplify (y/(y/(y**8/y)))**36 assuming y is positive.
y**252
Simplify (o**1/o*o**(-2/13))/((o/(o*(o/(o**7/o*o))/o*o)*o)/(o/((o/o**3)/o*o))) assuming o is positive.
o**(-54/13)
Simplify (t*t**(-7/9))/(t/((t**30*t)/t)) assuming t is positive.
t**(263/9)
Simplify ((a**0)**(4/9))**(1/70) assuming a is positive.
1
Simplify (k/(k**(2/9)/k)*k*k**(-1/3)*k*k)**(9/5) assuming k is positive.
k**8
Simplify (m**(1/4))**20 assuming m is positive.
m**5
Simplify ((x**0/x)**(-2/139))**(-37) assuming x is positive.
x**(-74/139)
Simplify (q**(-2/7)*q**2/q)/((q/q**3)/(q/(q**2*q))) assuming q is positive.
q**(5/7)
Simplify a/a**(-2/5)*a*a**(-8)*a*a/(((a*a**(-5))/a)/a)*a*a/a**0 assuming a is positive.
a**(22/5)
Simplify (d*d**(-1/2))**24 assuming d is positive.
d**12
Simplify (z*z**(-2/5))**(-33) assuming z is positive.
z**(-99/5)
Simplify s**(-21)*s**(2/19) assuming s is positive.
s**(-397/19)
Simplify (z/(z**4*z))/((z/(z*z**(2/7)))/z)*z**5/z**5 assuming z is positive.
z**(-19/7)
Simplify ((c/(c/c**9))/(c**(1/4)*c))**(44/3) assuming c is positive.
c**(341/3)
Simplify m**7/(m/(m/(m/((m*m/((m/(m*m**(-6/11)*m*m))/m)*m)/m)*m))) assuming m is positive.
m**(104/11)
Simplify ((f**(2/13)*f)/(f/(f*(f**(1/4)/f)/f*f)))/(f*f**(1/10)*f/(f*f*f/f**(-3/8))*f) assuming f is positive.
f**(353/520)
Simplify x**(9/5)/(x/(x*(x*x/(x**7*x))/x)) assuming x is positive.
x**(-26/5)
Simplify ((y/(y*y**(2/5)))**38)**(27/4) assuming y is positive.
y**(-513/5)
Simplify ((u*u/((u*u**(-1/5)*u)/u))/u**(-2/3))/(u/u**(-2/7)*u*u**(-2/13)*u) assuming u is positive.
u**(-1727/1365)
Simplify ((a*(a*a*a**30*a*a)/a)/a)/a**30 assuming a is positive.
a**3
Simplify o**(-4)/o**9 assuming o is positive.
o**(-13)
Simplify c**4*c**(-2/19)*((c**(-2)/c)/c)**(-6/11) assuming c is positive.
c**(1270/209)
Simplify (q**(-9)*q*q**8/q)/((q/q**(3/4))/(q/(q/(q/(q**(-4/7)/q))))) assuming q is positive.
q**(37/28)
Simplify (j/((j*j*j*j/j**6*j*j*j)/j))/(j*j**5/j) assuming j is positive.
j**(-4)
Simplify (x*x**5*x)/(x/x**(-6))*x*x**1*x**(-1)*x assuming x is positive.
x**2
Simplify (q**1)**(-4/5)/((q*q**1*q)/q*q)**(-13) assuming q is positive.
q**(191/5)
Simplify q**(-7)/q*q**(1/13) assuming q is positive.
q**(-103/13)
Simplify d/(d/d**(-32))*d*d**(-1/25) assuming d is positive.
d**(-776/25)
Simplify x/x**(-13/3)*x*x**(1/20)/x*x assuming x is positive.
x**(383/60)
Simplify (f/(f**5*f)*f)**25 assuming f is positive.
f**(-100)
Simplify (f/(f/f**(2/33))*f)/(f/(f*f**(-2/59))) assuming f is positive.
f**(1999/1947)
Simplify ((x/(x/(x**(-5/2)*x*x)*x))/x**(2/3))/((x*x**(2/3))/(x**5*x)) assuming x is positive.
x**(13/6)
Simplify ((c*c/(c/(c/(c*c*c**(1/3)))))**(-2/21))**23 assuming c is positive.
c**(46/63)
Simplify ((((k*k**6/k)/k*k)/k)/(k**(6/5)/k))**(-1/31) assuming k is positive.
k**(-24/155)
Simplify (p**2)**(-42)*p**(-4)*p*(p/(p/(p*p/(p**(-4)/p))))/p*p assuming p is positive.
p**(-80)
Simplify (c*c*c**7*c**(-3/7)/c)/((c**(-4)/c)/(c*(c**(- | {
"pile_set_name": "DM Mathematics"
} |
+ 210*m**2
Expand -x + 0*x + 2*x + (-1 - 2 + 2)*(-2 + 2 - x) + 4*x + 2*x - 26*x + 3*x - 2*x + 0*x + (-1 - 3 + 2)*(-x + 6*x - 3*x) - 2*x + 3*x + x.
-19*x
Expand (5 - 4*h + 5*h + 7)*(-74 - 24 + 20)*(4 + 6 - 4).
-468*h - 5616
Expand -8*l**2 - 22*l**3 + 20*l**3 + 73*l**2 + (-5*l**2 + 3 - 3)*(37*l - 17*l - 14*l).
-32*l**3 + 65*l**2
Expand (-845*p + 3 - 788*p + 1530*p)*(7 - 2 + 4).
-927*p + 27
Expand (-2 + 3 - 2)*(-2*q - 6*q + 3*q) + (q - q - 4*q)*(-1 + 0 - 2) + q - q - 2*q + (-q - 3 + 3)*(3 - 1 + 5).
8*q
Expand (d**2 - 1 + 1)*(1 + 1 - 3) - 716*d - 754*d + 1470*d - 8256*d**2.
-8257*d**2
Expand (-s + 5 - 5)*(51*s - 63*s - 231*s)*(7 - 4 + 0).
729*s**2
Expand (4060*g**2 - 4057*g**2 + 229 - 557)*(-g - 2*g + 2*g).
-3*g**3 + 328*g
Expand (-3 + 5 - 3)*(-141 - 20 - 216)*(3*r + 2*r - 2*r).
1131*r
Expand -9*b**3 + 114*b**3 - 20*b**3 + (-4*b**3 + 2*b**3 + 0*b**3)*(7 - 2 - 2) + b**3 + 2*b**3 - b**3.
81*b**3
Expand (-5 + 5 - 2*i + 0 + 0 - 2*i + 3*i + 0*i - 5*i + (1 - 4 + 1)*(0*i - 5*i + 3*i) - i + 3*i + 0*i - 31 + 31 + 64*i)*(0 + i + 0)*(3*i - 3 + 3).
192*i**3
Expand (-16*i - 9*i - 12*i)*(4 - 1 + i - 4)*(-3 - 6 + 1).
296*i**2 - 296*i
Expand (2*l**2 - 3*l**2 + 2*l**2)*(-l**2 - 4*l + 4*l) - 4*l**4 + l**4 + 5*l**4 + (6*l - l - 3*l)*(38*l**3 + 253*l**3 - 70*l**3).
443*l**4
Expand (-1 + 1 + 1)*(-177 + 177 + 8*q) + 0*q - q + 2*q + (-1 - q + 1)*(3 + 2 + 0) + 18*q - 2*q - q.
19*q
Expand -12*v - 50*v**2 + 12*v + (89 + 57*v - 89)*(-2*v + 0*v + v).
-107*v**2
Expand (-5 - 3 + 6)*(3*t**2 - 4*t**2 + 3*t**2) + (2*t + 4*t - 5*t)*(3 + 0 - 1)*(-1 - 5 + 1)*(222*t + 27*t - 41*t).
-2084*t**2
Expand (12 - 3*a - 12)*(-779*a + 11 - 114 + 776*a).
9*a**2 + 309*a
Expand (4 + 1 - 4)*(30 - 81 - 82)*(313*m - 293*m - 209*m).
25137*m
Expand (-2 - 2*a + 2)*(42095*a**3 + 5*a**2 + 28455*a**3 - 2*a**2 - 3*a**2).
-141100*a**4
Expand (3*s + 1 - 1)*(-128*s**2 + 54*s**2 + 230*s**2 - 2 + 2 - s**2 + (0*s + 3*s - s)*(2*s - 5*s + 4*s)).
471*s**3
Expand (0 + 2 - 1)*(0 + 82 + 276)*(y**2 - y**2 - 5*y**2).
-1790*y**2
Expand 5*r - 2*r + 4*r + (1 + 3 - 1)*(-r - 2*r + 2*r) + 13*r - 7*r + 3*r.
13*r
Expand (30*s - 30*s - 39*s**2)*(14 + 26 + 3) + (-s - 3 + 3)*(3*s - 3*s + s).
-1678*s**2
Expand (10570*n + 23580*n + 20583*n - 10854*n)*(0*n - 2*n + 0*n).
-87758*n**2
Expand (-4*d + 4*d + 3*d**4 + (d + 0*d - 4*d)*(-4*d + 4*d - d**3))*(12 - 15 - 13)*(-6*d - d - d).
768*d**5
Expand (6 - 5 + 21*o**2 - 8*o**2)*(74*o**2 - 19*o**2 + 2*o**2).
741*o**4 + 57*o**2
Expand (p + 0*p + 0*p)*(-p**2 + p**2 - 2*p**2) + (-15*p**3 + 7*p**3 + 4*p**3)*(-4 + 3 - 1) + 320*p**2 - 320*p**2 - 41*p**3.
-35*p**3
Expand (1 + 0 + 1)*(1 - 2 + 0 + (1 - 3 + 4)*(-3 + 6 - 5))*(10 - 12 + 66)*(30*j**2 + 21*j**2 - 12*j**2).
-24960*j**2
Expand (-x + 0 + 0)*(2*x + 0 + 0)*(8 + 2 + 2 + (-3 + 3 - 1)*(5 + 54 - 30) + (-7 + 2 + 3)*(0 - 1 + 0) - 3 + 1 + 0).
34*x**2
Expand (-b + 1 - 1)*(-3 + 3 - 2*b) + (2142*b - 3081*b - 23715*b + 205*b)*(1 - 2 - 1 - 2*b).
48900*b**2 + 48898*b
Expand (18912285 - 16997*o - 18912285)*(-2*o**2 - 3*o**3 + 2*o**2 + (1 - 2 + 3)*(-2*o**3 - 3*o**3 + 4*o**3)).
84985*o**4
Expand (-4*s**3 + 10*s**2 - 10*s**2)*(-s**2 + 4*s**2 + 0*s**2) - s**3 - 7*s**5 + s**3 + (-2*s**4 - 4*s**4 + 0*s**4)*(s - s + 2*s).
-31*s**5
Expand w - 2 + w + 1 - w - 4*w - 4*w + (1 - 2 - 2)*(-9*w + 2*w - 7*w).
35*w - 1
Expand (6*q - 2*q - 2*q)*(70 - 146 + 86) + 177*q + 135*q - 77*q.
255*q
Expand k**2 - 29*k - 2*k**3 + 63*k - 69*k - 11*k**2 - 2*k - 2*k**3 + 11*k**2 + (-k**2 + 0*k**2 - k**2)*(-1 + 1 + 2*k) - k**3 - 2*k**3 + k**3.
-10*k**3 + k**2 - 37*k
Expand (-1 - 3 + 7 + 14617*y - 14202*y)*(-2*y - 5*y + 8*y).
415*y**2 + 3*y
Expand (3 + 1 - 5)*(-2*d**2 + 3*d**2 - 5*d**2)*(-239*d**2 + 3478*d**2 - 1321 + 1322).
12956*d**4 + 4*d**2
Expand 65*b**3 - 65*b**3 + 54*b**4 + (2*b**4 + 2*b**2 - 2*b**2)*(-6 - 1 - 5) + 3*b**4 - 4*b**4 + 3*b**4.
32*b**4
Expand (-6 - 2 + 7)*(0*q + 3*q - 2*q)*(q - 156*q**2 - 460 + 460) + 4*q**3 + 20*q**2 - 20*q**2.
160*q**3 - q**2
Expand (-26*x - 799*x - 185*x)*(-2*x**3 + 4*x**4 + 0*x**3 - 3*x**4).
-1010*x**5 + 2020*x**4
Expand -n**5 + 3*n**5 - 3*n**5 + (-3*n**2 + 3*n**2 - 3*n**4)*(-6*n + 4*n + 6*n) + (-3 + n**2 + 3)*(-3*n**3 - 4*n**3 - 3*n**3).
-23*n**5
Expand (2*m**2 + 6*m**2 + 2*m**2)*(-28 + 5*m + 28) + 3*m**3 - 2*m**3 + 3*m**3.
54*m**3
Expand (-3 - 1 + 2)*(-2*t - 4*t + 4*t)*(-t**2 - t**2 + 5*t**2) + (4*t**2 - 5*t**2 + 2*t**2)*(0*t - 2*t + 0*t).
10*t**3
Expand 2*t**3 - 4*t + 4*t + (-3*t - 2*t + 3*t)*(-2*t**2 + 2*t**2 + 2*t**2) - 3607*t**2 + 3607*t**2 + 74*t**3.
72*t**3
Expand -s - 2*s + 2*s - 4 + 4 - 2*s + 6*s + 11*s + 6*s - 3*s + s + s - 1 - 5*s + 1 + (2 + 3 - 4)*(-2*s - 3 + 3) - 3*s - 2*s + 3*s + 0*s + 2*s + 0*s + s + 1 - 1.
13*s
Expand ((-5 + 1 + 3)*(-4 + 2*b + 4) + 1 - 1 + b + 108*b + 70*b - 39*b)*(2*b**2 - 2*b**2 - b**2)*(5*b - 3*b - 4*b).
276*b**4
Expand (170*m**4 - 84*m**4 + 224*m**4)*(2*m - 4*m + 5*m) + 0 + 2*m**5 + 0.
932*m**5
Expand -9*m + 12*m - 9*m + (50*m - 8*m + 43*m - 16*m)*(-5 - 1 + 5).
-75*m
Expand (-q + 0*q - q + (16 - 27 + 36)*(2*q - 1 + 1))*(2 - 3 - 1)*(77*q**2 - 77*q**2 + 27*q**3 - 1)*(-3 + 3 + 2*q).
-5184*q**5 + 192*q**2
Expand (766*w - 5895 + 5895)*(-w**3 + 4*w**3 - 4*w**3).
-766*w**4
Expand (-114 + 37 + 45)*(-3 - 2 + 4)*(24 - 24 + 3*n).
96*n
Expand (-37118168 + 37118168 - p - 2805*p**2)*(3*p - 2*p + p).
-5610*p**3 - 2*p**2
Expand (22*d - 27*d - 36*d)*(5 - 4 - 31 + (4 - 1 - 5)*(-4 + 4 + 1))*((-2*d + 3 - 3)*(-2*d - 2 + 2) + 2*d**2 - 3*d + 3*d + 4*d**2 - 2*d**2 - d**2).
9184*d**3
Expand -5*o**2 + 5*o**2 - 10*o**5 + (-5*o**3 + 2*o**3 + 7*o**3)*(-2*o**2 + 10*o**2 + 0*o**2 - o**2 - 2*o**2 + o**2 + (2*o**2 - o + o)*(3 - 2 + 1)).
30*o**5
Expand -7 + 1967*o - 3954*o + 1973*o + (4 - 6 + 4)*(o + 0 + 0).
-12*o - 7
Expand (9*m**2 - 6*m**2 - 5*m**2 + (2*m - 4*m - m)*(-5 + 5 + 8*m))*(-9*m**3 - 4 + 2 + 4).
234*m**5 - 52*m**2
Expand 382*u + 1486 - 1486 + (u + 1 - 1 + (3*u - 3*u - u)*(2 + 3 - 7) - u + 0*u + 2*u)*(-1 + 3 + 0).
390*u
Expand (-n**2 + 3*n**2 + 0*n**2)*((-5*n**3 + 0*n**3 + 4*n**3)*(-48 - 91 + 38) - n**3 + 2*n**3 - 3*n**3).
198*n**5
Expand (-2 + 1 + 0)*(4*x + 0*x - 3*x)*(70 + 8*x - 7*x**3 + 1019674*x**2 - 1019674*x**2).
7*x**4 - 8*x**2 - 70*x
Expand (4 - 5 + 0)*(1229*d - 807*d + 1418*d).
-1840*d
Expand (-3*v - 3*v**3 + 3*v)*(2973 - 5677 + 1786).
2754*v**3
Expand -2 + q + 2 - 15*q - 41 + 41 + (-3 + 2 + 3)*(0*q - 10*q + 2*q) + (-5*q + 3*q + 0*q)*(1 - 2 + 3).
-34*q
Expand (-504 - 134 + 116)*(1791*k - 1791*k + 75*k**3)*(k - 2*k + 0*k).
39150*k**4
Expand (-13*r**2 + 10*r**2 + 24*r**2)*(71 - 23 + 31)*(-3*r + 3*r + 3*r).
4977*r**3
Expand (2*f**4 + 0*f**4 - 3*f**4)*(3*f + 5 - 4 - f) + (0 + 0 + f)*(-f**4 - f**2 + f**2) - 66*f**2 + 66*f**2 + 24*f**5.
21*f**5 - f**4
Expand (-3 + 7 + 0)*(1792 - 4*h - 4032 + 1737).
-16*h - 2012
Expand (-449*z**3 + 1302*z - 1302*z)*(29 - 5 - 5).
-8531*z**3
Expand (0 + 0 - 2*l)*(-l + 4 - 4) + (299 + 55 - 116)*(-9*l + 9*l - 5*l**2).
-1188*l**2
Expand (-50 + 9 - 30)*(32*f**2 + 53*f**2 + f**2).
-6106*f**2
Expand (0*y**4 + 5*y**4 - 4*y**4)*(0*y - y + 0*y) + 3*y**5 - y**5 - 4*y**5 + (-5145 - 4330 - 237)*(0*y**5 - 4*y**5 + 2*y**5).
19421*y**5
Expand (0*b - 2*b + 0*b + (-b - 1 + 1)*(-6 + 2 - 1))*(127*b - 229*b + 991*b + 548*b).
4311*b**2
Expand (-477 + 477 - 36*f)*(-3 + 15 + 9).
-756*f
Expand -3 + 3 + 2*a + (-a - 3 + 3)*(-3 + 2 + 0) + 3*a - 3*a - a - 4*a - 6 + 6 + (2 - 5 + 2)*(-457*a - 479*a + 394*a).
540*a
Expand 687 + 60*j**4 - 687 + (-5 + 5 - 6*j**2)*(2*j**2 + 2*j**2 - j**2).
42*j**4
Expand -16 + i**2 + 14 - i**4 + 15*i**4 + (-100*i**3 - 26 - 93*i**3 + 196*i**3)*(-2*i - i + i).
8*i**4 + i**2 + 52*i - 2
Expand (-3102*a**2 + 62*a**3 + 3102*a**2)*((2 + 0 - 4)*(-a - a - a) + 1 - 3*a + a - 2).
248*a**4 - 62*a**3
Expand (-2*x + x - 4*x)*(432*x - 71*x**2 - 432*x)*(0 - 1 - 2).
-1065*x**3
Expand (-71*r - 8 - 76*r + 134*r)*(3*r**2 + 4*r - 4*r) + r - r - r**3 + (-2 + 3 + 1)*(-2*r - r**3 + 2*r).
-42*r**3 - 24*r**2
Expand (-5*q - 2*q + 6*q + 2*q + q - 2*q + (4 - 2 + 0)*(4*q + 0*q - 5*q))*(-1 + 473*q**4 + 1 + 12439*q**4).
-25824*q**5
Expand 26*a - 47*a - 109*a + (a - 1 + 1)*(4 - 2 - 3) + 6*a + 2*a + 0*a.
-123*a
Expand -5*j**2 + 3*j**2 + 4*j**2 + 2*j**2 + 1 - 1 + 9*j + 4*j**2 - 9*j + (3 - 2*j**2 - 3)*(-3 + 3 + 1) - 12852*j + 90*j**2 + 12852*j.
96*j**2
Expand 2*o**2 + 5*o**3 - 2*o**3 - 2*o**3 + (o - o + 2*o)*(-22*o + 48 - 48)*(2200 - | {
"pile_set_name": "DM Mathematics"
} |
is the z'th term of 5089, 10168, 15245, 20326, 25417, 30524?
z**3 - 7*z**2 + 5093*z + 2
What is the m'th term of -323, -886, -1795, -3050?
-173*m**2 - 44*m - 106
What is the q'th term of -81, -135, -219, -327, -453, -591, -735?
q**3 - 21*q**2 + 2*q - 63
What is the s'th term of -277, -502, -853, -1330?
-63*s**2 - 36*s - 178
What is the s'th term of -300, -561, -820, -1077, -1332?
s**2 - 264*s - 37
What is the b'th term of -75180, -150360, -225540, -300720, -375900, -451080?
-75180*b
What is the j'th term of 113, 0, -295, -862, -1791, -3172, -5095, -7650?
-15*j**3 - j**2 - 5*j + 134
What is the r'th term of 83, 179, 301, 449, 623, 823?
13*r**2 + 57*r + 13
What is the x'th term of 5566, 5584, 5614, 5656, 5710, 5776?
6*x**2 + 5560
What is the o'th term of -2806, -11122, -24984, -44392?
-2773*o**2 + 3*o - 36
What is the f'th term of -175, -953, -3063, -7171, -13943, -24045?
-111*f**3 - f - 63
What is the m'th term of 6105535, 12211072, 18316609, 24422146, 30527683, 36633220?
6105537*m - 2
What is the v'th term of 235592, 235594, 235596, 235598, 235600, 235602?
2*v + 235590
What is the v'th term of -34219, -68440, -102661, -136882?
-34221*v + 2
What is the t'th term of 23673, 94719, 213137, 378933, 592113, 852683, 1160649?
t**3 + 23680*t**2 - t - 7
What is the l'th term of -3869, -3830, -3791, -3752, -3713?
39*l - 3908
What is the a'th term of 78, 304, 530, 756, 982?
226*a - 148
What is the t'th term of 815, 6597, 22319, 52961, 103503?
830*t**3 - 10*t**2 + 2*t - 7
What is the l'th term of 88257, 176512, 264767, 353022?
88255*l + 2
What is the d'th term of 51002, 50937, 50870, 50801, 50730?
-d**2 - 62*d + 51065
What is the i'th term of 428, 810, 1142, 1418, 1632, 1778, 1850, 1842?
-i**3 - 19*i**2 + 446*i + 2
What is the z'th term of -2432, -9724, -21866, -38852, -60676?
z**3 - 2431*z**2 - 6*z + 4
What is the a'th term of -134, -407, -862, -1499, -2318, -3319?
-91*a**2 - 43
What is the y'th term of 2460, 4926, 7406, 9906, 12432, 14990?
y**3 + y**2 + 2456*y + 2
What is the s'th term of 1234, 4874, 10924, 19384, 30254, 43534, 59224?
1205*s**2 + 25*s + 4
What is the t'th term of -25766, -51531, -77300, -103073?
-2*t**2 - 25759*t - 5
What is the w'th term of -6434, -6429, -6424, -6419, -6414?
5*w - 6439
What is the p'th term of -45994, -45991, -45988, -45985?
3*p - 45997
What is the s'th term of -480, -462, -444, -426, -408, -390?
18*s - 498
What is the g'th term of -6944, -27793, -62542, -111191?
-6950*g**2 + g + 5
What is the j'th term of -188036, -376073, -564110, -752147, -940184, -1128221?
-188037*j + 1
What is the d'th term of -683, -1256, -1829?
-573*d - 110
What is the c'th term of 3239, 6460, 9691, 12938, 16207, 19504?
c**3 - c**2 + 3217*c + 22
What is the a'th term of -28911, -28907, -28903, -28899?
4*a - 28915
What is the d'th term of -56118, -56119, -56122, -56127, -56134?
-d**2 + 2*d - 56119
What is the d'th term of -11, 67, 191, 349, 529, 719, 907, 1081?
-2*d**3 + 35*d**2 - 13*d - 31
What is the x'th term of -25043, -50095, -75157, -100235, -125335?
-x**3 + x**2 - 25048*x + 5
What is the x'th term of -4431, -4416, -4403, -4392?
-x**2 + 18*x - 4448
What is the f'th term of 827, 918, 1009, 1100, 1191?
91*f + 736
What is the d'th term of 4850, 9672, 14494, 19316, 24138?
4822*d + 28
What is the a'th term of 203, 937, 2147, 3821, 5947?
-2*a**3 + 250*a**2 - 2*a - 43
What is the z'th term of 199, 311, 313, 151, -229?
-9*z**3 - z**2 + 178*z + 31
What is the j'th term of -428, -1508, -3244, -5624, -8636, -12268, -16508, -21344?
2*j**3 - 340*j**2 - 74*j - 16
What is the l'th term of 1199, 4573, 10187, 18035, 28111, 40409, 54923?
-l**3 + 1126*l**2 + 3*l + 71
What is the b'th term of -902517, -902516, -902515, -902514?
b - 902518
What is the p'th term of 410821, 410823, 410825?
2*p + 410819
What is the g'th term of 318, 1301, 2938, 5223, 8150, 11713, 15906, 20723?
-g**3 + 333*g**2 - 9*g - 5
What is the p'th term of -110, -937, -3252, -7823, -15418, -26805, -42752?
-128*p**3 + 24*p**2 - 3*p - 3
What is the x'th term of -77373, -77370, -77363, -77352, -77337?
2*x**2 - 3*x - 77372
What is the y'th term of 131, 154, 185, 218, 247, 266?
-y**3 + 10*y**2 + 122
What is the r'th term of -13295, -26582, -39869?
-13287*r - 8
What is the b'th term of 91, 212, 357, 538, 767, 1056?
2*b**3 + 107*b - 18
What is the y'th term of -121, -573, -1697, -3829, -7305?
-56*y**3 - 60*y - 5
What is the x'th term of -119, 18, 243, 556?
44*x**2 + 5*x - 168
What is the y'th term of -724841, -724860, -724891, -724934?
-6*y**2 - y - 724834
What is the m'th term of -158053, -316111, -474169, -632227, -790285, -948343?
-158058*m + 5
What is the z'th term of 224224, 448451, 672678, 896905, 1121132, 1345359?
224227*z - 3
What is the s'th term of 1790, 1818, 1870, 1958, 2094, 2290?
2*s**3 + 14*s + 1774
What is the d'th term of 677, 737, 835, 971, 1145?
19*d**2 + 3*d + 655
What is the q'th term of 364, 1527, 3464, 6175, 9660, 13919?
387*q**2 + 2*q - 25
What is the c'th term of 39103, 78207, 117309, 156409, 195507?
-c**2 + 39107*c - 3
What is the x'th term of -483, -930, -1377, -1824, -2271, -2718?
-447*x - 36
What is the q'th term of -1358, -1313, -1268?
45*q - 1403
What is the u'th term of -69, -111, -147, -171, -177?
u**3 - 3*u**2 - 40*u - 27
What is the w'th term of 390, 2806, 9278, 21834, 42502?
338*w**3 + 50*w + 2
What is the r'th term of -1130, -1378, -1630, -1886, -2146?
-2*r**2 - 242*r - 886
What is the h'th term of 95508, 764050, 2578666, 6112392, 11938264, 20629318, 32758590, 48899116?
95506*h**3 + h**2 - 3*h + 4
What is the n'th term of -109739, -109744, -109751, -109760?
-n**2 - 2*n - 109736
What is the l'th term of -154, 150, 656, 1364?
101*l**2 + l - 256
What is the v'th term of -142, -277, -412?
-135*v - 7
What is the c'th term of -188636, -377266, -565890, -754508, -943120?
3*c**2 - 188639*c
What is the m'th term of -159, -223, -287?
-64*m - 95
What is the l'th term of 4043, 16167, 36373, 64661?
4041*l**2 + l + 1
What is the z'th term of 6372, 12781, 19202, 25641, 32104?
z**3 + 6402*z - 31
What is the m'th term of -46463, -92863, -139263, -185663, -232063?
-46400*m - 63
What is the b'th term of 1110, 1131, 1152, 1173?
21*b + 1089
What is the f'th term of 465, 459, 453, 447, 441?
-6*f + 471
What is the x'th term of 502, 835, 1168, 1501?
333*x + 169
What is the m'th term of -814, -824, -834, -844, -854?
-10*m - 804
What is the k'th term of 1774, 1710, 1646?
-64*k + 1838
What is the w'th term of -1730, -3545, -5360, -7175, -8990?
-1815*w + 85
What is the g'th term of 4, 678, 1810, 3406, 5472, 8014, 11038, 14550?
g**3 + 223*g**2 - 2*g - 218
What is the w'th term of -1715, -6879, -15487, -27539?
-1722*w**2 + 2*w + 5
What is the a'th term of -73, -165, -259, -355, -453?
-a**2 - 89*a + 17
What is the x'th term of 141716, 141714, 141712, 141710, 141708, 141706?
-2*x + 141718
What is the n'th term of 114, 582, 1424, 2646, 4254, 6254?
n**3 + 181*n**2 - 82*n + 14
What is the k'th term of -168743, -337484, -506225, -674966?
-168741*k - 2
What is the i'th term of -47, -229, -533, -959, -1507, -2177, -2969?
-61*i**2 + i + 13
What is the g'th term of 6881, 6887, 6893?
6*g + 6875
What is the x'th term of -1251, -1403, -1555, -1707?
-152*x - 1099
What is the l'th term of -104, -459, -1048, -1871, -2928, -4219?
-117*l**2 - 4*l + 17
What is the m'th term of -9555, -9558, -9561, -9564, -9567, -9570?
-3*m - 9552
What is the g'th term of 30938, 30913, 30888, 30863?
-25*g + 30963
What is the b'th term of 164, 710, 2106, 4778, 9152, 15654, 24710?
71*b**3 - b**2 + 52*b + 42
What is the u'th term of -146740, -293499, -440258, -587017, -733776, -880535?
-146759*u + 19
What is the t'th term of -123, -272, -421, -570, -719, -868?
-149*t + 26
What is the w'th term of 695, 1399, 2103, 2807?
704*w - 9
What is the i'th term of -16, 518, 1052?
534*i - 550
What is the t'th term of 1463, 2892, 4299, 5684, 7047?
-11*t**2 + 1462*t + 12
What is the t'th term of 222468, 444935, 667402, 889869?
222467*t + 1
What is the v'th term of -198439, -396877, -595315, -793753, -992191, -1190629?
-198438*v - 1
What is the h'th term of 5, 276, 1095, 2738, 5481?
46*h**3 - 2*h**2 - 45*h + 6
What is the p'th term of 3925, 3957, 4011, 4087, 4185, 4305, 4447?
11*p**2 - p + 3915
What is the b'th term of 207, 460, 811, 1308, 19 | {
"pile_set_name": "DM Mathematics"
} |
value of ((-5)/(-50))/(2/(-25))?
-5/4
What is (1/14)/((-12)/24)?
-1/7
Evaluate (7/(-14))/(4/4).
-1/2
What is (4/(8/(-4)))/5?
-2/5
What is -5*8/(-24)*3/(-10)?
-1/2
What is the value of (16/(-12))/(4/(-3))?
1
What is (16/6*-3)/(-10)?
4/5
What is the value of (-1)/(-2)*-3*128/(-320)?
3/5
(12/9)/(-4)*(-64)/(-96)
-2/9
What is the value of ((-4)/(-22))/((-26)/286)?
-2
20/175*30/(-12)
-2/7
Calculate ((-18)/10)/((-17)/((-1190)/(-21))).
6
Evaluate (-8)/(-18)*(-27)/18.
-2/3
Evaluate (1/2)/((-53)/318).
-3
Calculate ((-12)/4)/(3*50/4).
-2/25
Calculate (18/48)/(6/48).
3
What is -1*9/(6/(-2))?
3
Calculate (5*(-2)/6)/(13/39).
-5
((-36)/792)/((-1)/(-12))
-6/11
What is the value of ((-24)/(-12))/(6/9)?
3
What is the value of (586/2637)/((-2)/(-18))?
2
What is the value of (-6)/(-15)*((-120)/(-64))/(-3)?
-1/4
Evaluate (36/(-14))/(15/(-35)).
6
(((-6)/26)/(-3))/((-20)/(-40))
2/13
What is the value of (7/(-42))/(7/378*-1)?
9
What is 2/((-4)/3)*152/(-114)?
2
0/(((-4)/5)/((-42)/105))
0
Calculate ((-2)/(-1))/(((-182)/56)/(-13)).
8
((-66)/(-330))/(2/2)
1/5
Evaluate ((-202)/505)/(2/10).
-2
What is the value of (1/7)/(9/63*-6)?
-1/6
(3/54*3)/(2/6)
1/2
What is ((-6)/(-9))/(44/(-132))?
-2
Evaluate (-2)/2*4*3318/(-1896).
7
What is (3/1)/1*(-9)/(-135)?
1/5
(-2)/(-2)*33/55
3/5
What is the value of (-5)/(9/9*(-3)/(-3))?
-5
8/(-18)*-3*(-3)/(-12)
1/3
What is 60/315*(175/(-30))/(-5)?
2/9
(((-15)/6)/5)/((-8)/(-16))
-1
Evaluate (-6)/(-3)*16/(-128).
-1/4
Calculate ((-72)/(-90))/(1*2/20).
8
What is 5/2*(-16)/(-20)?
2
Evaluate (-2)/(14/28*-1).
4
What is the value of ((-99)/(-110))/(7/(35/(-6)))?
-3/4
Calculate (1*40/(-8))/1.
-5
What is 2*((-140)/(-112))/((-2)/(-4))?
5
Evaluate (-5)/1*(-4)/4.
5
Calculate -2*7/56*-4.
1
Calculate (-1)/26*(-24)/(12/2).
2/13
What is (12/(-50))/((-46)/115)?
3/5
Calculate (18/24)/((-3)/2).
-1/2
Calculate (-645)/(-344)*(-4)/(-3)*4.
10
What is (-35)/30*20/175?
-2/15
((-10)/(-60))/(1/4*2)
1/3
(1*2)/(((-16)/4)/(-2))
1
Calculate (((-108)/33)/6)/(-3).
2/11
Calculate (-12)/15*((-4)/(-1))/(-40).
2/25
What is ((-16)/(-36))/(6/27)?
2
What is the value of 2*(-1)/((-1)/(-1))?
-2
Calculate -2*((-12)/(-40))/(-3).
1/5
What is ((-60)/165)/(2/1)?
-2/11
Calculate 20/48*2*9/30.
1/4
Calculate 34/170*(-1)/2.
-1/10
((-56)/630)/((16/12)/2)
-2/15
Evaluate 2/3*11/176*12.
1/2
(-2)/(((-1760)/11)/10)
1/8
((-1)/(-3))/1*165/11
5
Evaluate ((-60)/1350*-165)/(4/(-6)).
-11
Calculate (-910)/819*(-3)/5.
2/3
Calculate 1/(-3)*3/6*6.
-1
What is the value of (-4)/14*(-350)/25?
4
Evaluate (-10)/6*(-48)/40.
2
Evaluate ((-2)/8)/((-11)/33).
3/4
What is the value of 20/(-30)*21/14?
-1
Evaluate (3/(-2))/((-111)/(-74)).
-1
Evaluate (-2)/((28/(-21))/2).
3
Calculate ((-10)/15)/((-16)/(-9)).
-3/8
What is the value of (-15)/(-6)*(378/35)/(-9)?
-3
Calculate (-21)/(-15)*(-65)/13.
-7
What is ((-160)/(-4))/(-4)*(-2)/(-4)?
-5
What is ((-165)/275)/(6/(-10))?
1
What is the value of (-2)/6*-1*(-15)/5?
-1
((-12)/8)/(27/90)
-5
Calculate (-60)/(-50)*5/(-7).
-6/7
What is the value of (1/(-6)*-3)/(45/(-18))?
-1/5
What is -3*8/84*(-14)/(-18)?
-2/9
-10*5/(-300)*-4
-2/3
What is the value of (15/21)/((25/10)/1)?
2/7
-3*4/(4/1)
-3
What is the value of (3*(-1)/3)/((-6)/24)?
4
(2/3)/((133/63)/19)
6
What is the value of (-4)/16*(-28)/(-7)?
-1
What is the value of (-96)/16*(-1)/2?
3
(-3*(-5)/15)/(-1)
-1
Calculate (3/((-27)/30))/((-4)/6).
5
What is 1*(-8)/(80/15)?
-3/2
((-6)/(-2))/(-5*(-27)/180)
4
Calculate (-2)/(-32)*4*1.
1/4
Calculate (((-9)/(-12))/(-1))/((-33)/(-8)).
-2/11
Evaluate (-4)/(-12)*-12*(-1)/(-14).
-2/7
Evaluate (78/(-36))/(-13)*-1.
-1/6
((-4)/5*75/(-10))/(-1)
-6
What is 3/(6/1)*6?
3
Evaluate 175/(-14)*(-2)/(-10).
-5/2
Calculate (-3)/63*-3*304/76.
4/7
What is the value of ((-9)/5)/((-24)/(-320)*4)?
-6
Evaluate 1/(-1)*3/3.
-1
What is 14/(448/12)*-8?
-3
Evaluate (16/(-576))/(4/(-16)).
1/9
Evaluate (3/(-9))/((-50)/1050).
7
What is (-5)/(-20)*2*32/(-8)?
-2
(-1*(-8)/(-9))/(224/(-336))
4/3
14/18*(-1)/((-77)/22)
2/9
Evaluate (4/((-120)/27))/((-6)/10).
3/2
Evaluate (8/80*-6)/(-3).
1/5
Calculate (1/(18/24))/(2/9).
6
What is 6/(-3)*(3/6)/(-1)?
1
30/(-175)*15/(-6)
3/7
-3*((-49)/(-42))/7
-1/2
What is (-21)/6*48/(-28)?
6
Evaluate (8/28)/((-3)/(-126)*6).
2
Calculate (8/(-16))/(1/(-6)).
3
What is the value of 21/(-63)*72/3?
-8
What is the value of (8/(-140)*-15)/((-45)/(-42))?
4/5
Evaluate -11*(-24)/2772*-1.
-2/21
Evaluate 2/(-8)*(96/6)/(-4).
1
What is 7*(-4)/(-28)*1/1?
1
What is -5*((-504)/40)/(-7)?
-9
What is the value of (100/(-40))/((1/1)/2)?
-5
Calculate (3/(24/8))/(1/1).
1
(-6)/(-8)*12/54
1/6
What is (-11)/(66/(-6))*6/15?
2/5
Evaluate ((-4)/16*-3)/(33/8).
2/11
Evaluate (-24)/(-6)*1/(-2).
-2
What is ((-6)/15)/(11/((-165)/12))?
1/2
What is 6/8*(-9)/((-243)/6)?
1/6
Calculate (10/(-20))/((-6)/4).
1/3
Evaluate 1/(-3)*(-168)/(-364).
-2/13
What is the value of ((-110)/(-66))/((-10)/12)?
-2
What is the value of 6/(6*(-1)/(3/(-1)))?
3
What is (1*-2)/(31/62)?
-4
Evaluate (3*(-19)/(-228))/(1/(-6)).
-3/2
What is the value of ((-2)/(-8)*2)/((-5)/40)?
-4
What is the value of (4/(-2))/((-1560)/(-156))?
-1/5
Evaluate ((-20)/(-8)*-2)/((-15)/(-15)).
-5
Calculate ((-10)/25)/((-1)/(-5)).
-2
Calculate (480/280)/(1/(-7)*-2).
6
What is (-12)/(-8)*(-3)/(27/1)?
-1/6
((-6)/(3/(-1)))/((-3)/6)
-4
What is the value of (4/((-24)/(-15)))/((-2)/(-4))?
5
Calculate ((-3)/(-27)*6*6)/(-22).
-2/11
Evaluate (189/(-18))/(-7)*(-8)/3.
-4
What is (2/(-18))/(84/72)?
-2/21
What is the value of (12/16)/(3/(-4))?
-1
What is the value of 5*-1*(-3)/15*-5?
-5
1/2*(-2)/(-5)*-5
-1
Calculate 8/8*-2*(-8)/(-64).
-1/4
Evaluate (-5)/(70/6*6/(-4)).
2/7
51/374*(-28)/21
-2/11
What is (28/672)/((-2)/(-6))?
1/8
Calculate ((-78)/9)/13*(-15)/(-2).
-5
Calculate 232/435*(-15)/36.
-2/9
(-10)/(-36)*(-48)/(-80)
1/6
What is the value of (3*(-4)/152)/(21/28)?
-2/19
Evaluate ((-40)/50)/(12/(-10)).
2/3
Evaluate (3*1/(-2))/((-51)/(-68)).
-2
Evaluate (-36)/12*(9/(-3))/(-27).
-1/3
((-1)/((-30)/4))/(1/6)
4/5
What is the value of ((-18)/105)/(3*22/(-165))?
3/7
((-58)/(-203))/(2/28)
4
1/((-1)/((-3)/1)*1)
3
Evaluate 4/(-6)*((-3024)/256)/21.
3/8
(-33)/11*(-4)/3
4
What is the value of 1/2*30/(-105)?
-1/7
(-1)/(((-1)/(-12))/(20/(-40)))
6
What is -3*1*(-48)/(-18)?
-8
Calculate (-3)/63*(-2)/(12/21).
1/6
((-54)/45)/((-8)/(-20))
-3
Evaluate 6/5*-3*(-20)/24.
3
Evaluate (-1)/(-1)*(1/5)/1.
1/5
Calculate (-147)/(-399)*1*2/14.
1/19
What is the value of (14/(-49))/((-24)/140)?
5/3
What is 2*(-4)/8*(-9)/3?
3
What is (-16)/6*18/24?
-2
What is (6/4)/((-18)/384*-8)?
4
Calculate (-12)/105*(-14)/4.
2/5
What is (2/1)/((-2)/(-2))?
2
What is the value of 3/((-230)/(-40)*6)?
2/23
What is (1/(32/(-4)))/((-14)/(-28))?
-1/4
(-16)/14*(-7)/2
4
Evaluate ((-11)/33)/((-1)/(-3)).
-1
What is the value of 4*((-3)/12*-6)/(-15)?
-2/5
(20/3)/5*12/8
2
Evaluate ((-7)/(-21))/((-25)/(-45)).
3/5
(2/(-5))/(4/40)
-4
Calculate 3*6/(-9)*(-1)/(-2).
-1
What is (((-56)/(-36))/7)/((-2)/(-6))?
2/3
2*25/(-10)*1
-5
What is the value of (-2)/((-3)/3)*(-5)/2?
-5
(15/(-24)*-4)/((-15)/(-36))
6
What is ((-2)/7)/(-2)*(-9)/9?
-1/7
Evaluate 10*5/(420/(-6)).
-5/7
What is ((-10)/10)/(2*(-3)/(-54))?
-9
What is (8/28)/(8/(-14))?
-1/2
Calculate 4/(-3)*21/14.
-2
What is the value of ((-10)/20)/(1/((-12)/(-10)))?
-3/5
Evaluate (72/(-252))/(6/(-14)).
2/3
((-2)/(-16))/(24/(-144))
-3/4
Calculate (1/22)/(14/77)*1.
1/4
What is the value of ((-2)/1)/((-273)/(-21))?
-2/13
What is the value of (-4)/3*(-2)/32*8?
2/3
What is (2/12)/((-20)/(-24))?
1/5
What is (-24)/(-28)*(-133)/38?
-3
Calculate ((-5)/50)/((-5)/(-40)).
-4/5
What is the value of 4*(13/(-221))/(8/(-4))?
2/17
Evaluate ((-40)/6)/1*269/(-2152).
5/6
Calculate (-150)/500*(-5)/6.
1/4
((-3)/(-5))/(231/110)
2/7
-10*-5*((-3)/3)/10
-5
What is -1*2/1*(-49)/14?
7
What is (1/((-95)/2))/(19/(-95))?
2/19
Calculate (2/(-6))/((-15)/72*2).
4/5
What is 2/(-3)*9/3?
-2
What is the value of 2/(-2)*21/(-28)?
3/4
(-96)/36*9/12*2
-4
Evaluate (((-7)/(-2))/(-7))/((-2)/36).
9
(-336)/1232*4/6
-2/11
What is the value of (-18)/(-3)*(80/24)/5?
4
What is the value of (5/(-6))/((-120)/9)?
1/16
Calculate (-24)/21*21*(-2)/12.
4
What is (-2)/((-2)/2)*28/14?
4
Calculate (((-48)/(-6))/(-8))/(5/(-1)).
1/5
7*-1*6/147*7
-2
(4/22)/(38/418)
2
What is the value of ((-16)/72)/(-1)*-9?
-2
What is the value of (-24)/(-8)*(-5)/3?
-5
What is (6*-1)/(-2)*5/(-15) | {
"pile_set_name": "DM Mathematics"
} |
for p.
5
Solve 4*v = -4*r, -85569*r + 3*v + 32 = -85564*r for r.
4
Solve -r + 8 = -b - 0, 0 = -b + 4*r - 26 for b.
-2
Solve -2*f = -2*k + 24, -5*k + 2*f - 489 = -528 for k.
5
Solve -18*r - 5 = -19*r, -3*i = 5*r - 7 for i.
-6
Solve -2*m = 2*f + 2, 1366*m - 1362*m - 28 = 4*f for m.
3
Solve 0 = 4*h - a + 7, -19*h + 3*a = -21*h - 21 for h.
-3
Solve g = -5*z + 80, -g - 768*z + 766*z = -35 for g.
5
Solve 2*m + 4*z = 10, -335*z = 3*m - 337*z + 25 for m.
-5
Solve -4*a + 4 = 0, -2*a + 56 = s + 49 for s.
5
Solve -b + 17 = -3*s, 5*s + 2*b - 170 = -180 for s.
-4
Solve 2*z - 15*w + 3 - 24 = 0, -5 = 5*w for z.
3
Solve -44 = 5*m + 3*a, -299*m + 5*a + 28 = -296*m for m.
-4
Solve -3*x + 912 = -4*l + 895, -8 = l + 3*x for l.
-5
Solve 3*r + 3*f = 6, -4*r + 370*f - 366*f + 8 = 0 for r.
2
Solve 342212*p = -2*m + 342207*p + 8, 3*m + 0*m = 2*p + 12 for m.
4
Solve -4*a = -12, 3*a + 30 = 4*w + 11 for w.
7
Solve -4*a + 5*p - 34 = 0, -5*a + 308*p = 311*p - 50 for a.
4
Solve -7*r + 5*k = 26, -3*r - 2*k + 5 = -4*r for r.
-3
Solve -7*j + 5 = -x, 2*x + 10 = 3*j + 11 for x.
2
Solve 6607*k = 6609*k - g + 11, -3*g + 29 = -5*k for k.
-4
Solve -2*p - 3 = -2*v - 9, 0 = p + 5*v + 39 for p.
-4
Solve -c + 6289 = -3*f + 6308, 2*c = 4*f - 28 for c.
-4
Solve 0 = u + 3, 30*f - 27*f - 2*u - 12 = 0 for f.
2
Solve -5*r + 4*o + 629 = 505, -8*r - 9*o = -183 for r.
24
Solve 27 = -2*p - 0*p - 5*w, 12*w + 24 = 2*p for p.
-6
Solve -3*b - 15 = -3*z, -5*b - 656 = 5*z - 661 for b.
-2
Solve 3*j - 6 = -2*m, -5*m = -j - 4 + 23 for j.
4
Solve 20 = 5*d + 2*s, 5 = 5*d - 557*s + 562*s for d.
6
Solve -2*z + 5*x + 36 = 0, z = 6*x - 1431 + 1470 for z.
3
Solve 33 - 20 = 3*y + 5*h, 0 = -h + 5 for y.
-4
Solve 16*d + 20 = -4*z, 127*d - 124*d + z = 0 for d.
-5
Solve 0 = r + 105*u - 102*u + 4, 0 = -r - 14*u - 15 for r.
-1
Solve 33 = 96515*c - 96511*c - 11*f, -4*c + 6 = -2*f for c.
0
Solve -5*d - 85 = 28*x - 30*x, 3*d + 77 = -4*x for d.
-19
Solve 7814*c + 31 = 4*w + 7811*c, -10 = -w + c for w.
1
Solve n + 16 = 17*a, 231 = 2*n + 229 for a.
1
Solve 13*r + 3*x - 108 = 0, -5*r = 317*x - 315*x - 39 for r.
9
Solve -2*n + 2*o = -555 + 557, n + 3*o = -5 for n.
-2
Solve -2 = 2*d + 169*j - 167*j, -8*d = 2*j - 22 for d.
4
Solve -28*i = -25*i + 2*d + 16, 5*i - 4*d + 56 = 0 for i.
-8
Solve q - 18 = -5*w, 0 = 2*w - 3*q - 295 + 281 for w.
4
Solve -8*m + 3 = -6*m - 3*m, -4*f - 4*m = -4 for f.
4
Solve -3*j + 258 = 2*b + 251, -2*b + 12*j + 22 = 0 for b.
5
Solve 0 = 2*w + 4*p + 24, p + 145 = -3*w + 124 for w.
-6
Solve -8803*b + 8802*b = -13*t - 166, 3*t = 2*b - 33 for t.
-13
Solve -221*a + 3*r = -219*a + 10, 3*a = 3*r - 18 for a.
-8
Solve -5*p - 59*a + 57*a = -15, -3*p = -4*a - 9 for p.
3
Solve -2*c - 3*z = 180 - 205, -5*z + 35 = 2*c for c.
5
Solve 25 = -3*i - o + 37, -o = 5*i - 22 for i.
5
Solve 0 = -5*n + 5*j + 15, 159*n - 163*n + 15 = -j for n.
4
Solve 4*v - 10*s = 2, -2*v - 8 = -167*s + 165*s for v.
-7
Solve g - 28*s = -29*s - 9, 3*g = -4*s - 32 for g.
-4
Solve 18*t + 1 = 17*t + 4*b, 3*t - 3*b = -12 for t.
-5
Solve -4*w - 4*v = -20, 28*w + 4*v + 16 = 33*w for w.
4
Solve 0 = -4*i - 3*k - 42, 74*i - 69*i - 5 = 2*k for i.
-3
Solve 0 = -5*l + 25, -301*n = -300*n + 4*l - 13 for n.
-7
Solve 69 = 5*r + 16*m, -r + 3*m - 93 = -82 for r.
1
Solve -4*y = -2877*t + 2878*t + 42, 0 = 2*y + 10*t + 40 for y.
-10
Solve 0 = -4*w + v + 2151 - 2133, 0 = -5*w + 2*v + 21 for w.
5
Solve -5*o + 2*x - 732 = -792, -6*o + 64 = -4*x for o.
14
Solve -4*p - 3*f - 35 = 0, -352*p + 37 = -348*p - 5*f for p.
-2
Solve 0 = -16*q + 2*u + 24, 61 = 2*q + 3*u + 71 for q.
1
Solve -3 = 4*s + 1, i = -2*s for i.
2
Solve 2*r + 10*h - 821 = -785, 12 = 5*r - h for r.
3
Solve s + 48*v = 51*v + 10, v = -18*s - 40 for s.
-2
Solve 5*q = v + 9, 12 = -v + 3 for q.
0
Solve 3*g = 3*b + 33, -61*b = -64*b - 2*g + 12 for b.
-2
Solve -3*x + 60*j - 357 = 0, 179*x + 5*j - 26 = 183*x for x.
1
Solve -4*o = -5*x + 4, 1 = -37*x + 39*x - o for x.
0
Solve -4*w = 2*d - 65 + 51, -3 = -w - d for w.
4
Solve -11*x = -7*x - 4*i + 8, -4*x - 12 = -2*i for x.
-4
Solve 24 - 49 = -5*i - 3*n, 3*i - 15 = 2*n for i.
5
Solve x = 5*h + 27, 3*h - x + 570 = 549 for h.
-3
Solve -3*j = 25*l - 24*l + 2, 0 = 2*j - 20*l + 208 for j.
-4
Solve 2*n + 18 = -s, -s = 4*n + 64561 - 64527 for s.
-2
Solve 403*b + 68 = 402*b + 5*i, 5*b = 5*i - 80 for b.
-3
Solve 0 = 4*j - 5*q + 87, -50*q = 3*j - 60*q + 184 for j.
2
Solve -1447*l - 27 = -3*b - 1443*l, -3*l + 35 = 2*b for b.
13
Solve 2*n + 1243 - 1253 = -2*o, -3*o = -2*n + 5 for o.
1
Solve 6 = -2*v, -r - 2*v - 14 = 4*r - 7*r for r.
4
Solve g - 13 + 20 = -2*t, 3 = -2*t - 5*g for t.
-4
Solve -3*b + 4*x = -2, -12 = -4*b - 52*x + 55*x for b.
6
Solve 0 = p + 2, 1 - 40 = 5*l - 3*p for l.
-9
Solve 0 = 6*z + 5*d - 15, 404 - 412 = -z + d for z.
5
Solve -3*q = y + 25, y - 386 + 339 = 5*q for y.
2
Solve 84*a - 10 = 19*q + 82*a, 0 = 2*q + 4*a - 20 for q.
0
Solve d - 20*z + 16*z - 6 = 0, -d = -z for d.
-2
Solve -4*b - 12 = 0, 5*q + 4*b + 1019 = 997 for q.
-2
Solve -5*h + t = -33, 3*t + 4501 = -3*h + 4510 for h.
6
Solve 2*c - 4*j = 2095 - 1057 - 1052, 0 = -c + 4*j - 13 for c.
-1
Solve 26*m - 54*m = -27*m - 3*s, 0 = -4*s for m.
0
Solve 21 = 295*w - 298*w - 3*d, 0 = -3*d - 6 for w.
-5
Solve 5*o - 56 = 2*k, -7*o - 103*k + 55 = -98*k for o.
10
Solve -20*r + 23*r + 4*c - 23 = 0, 2*r = -2*c + 14 for r.
5
Solve j - 5 = 0, 5*v + 84 + 301 = 81*j for v.
4
Solve -3*z + 6 = s, 2*s - 364 + 332 = 4*z for s.
12
Solve -t + 9 = y, 2*y + 39*t - 34*t - 57 = 0 for y.
-4
Solve -5*r + 3*t + 27 + 18 = 0, 3*r = -9*t - 27 for r.
6
Solve 4*z - 5*o = 27, -3*z - 23*o + 18*o = 6 for z.
3
Solve 2*i - 22*o - 26 = -14*o, 4*i - 2*o + 4 = 0 for i.
-3
Solve 3*y = -5*l + 41, -l = -30*y + 33*y - 13 for l.
7
Solve 21 = -i + 9*m - 2, -3*i + 6 = -2*m for i.
4
Solve -74*s = -76*s - b - 2, s = -2*b - 7 for s.
1
Solve 3*g - 5*y = -23 + 30, 2*g + y = -4 for g.
-1
Solve 123*j - 120*j - 17 = x, -5*x = 25 for j.
4
Solve -53*v + 48*v + 3*b + 13 = 0, 19 = 3*v + b for v.
5
Solve -3*t - c - 12 = 0, 5*t - 13*c + 21 = -15*c for t.
-3
Solve s + 6*c - 12 = 0, 2*c - 2 = 5*s + 2 for s.
0
Solve 0 = -5*d - 4*g + 9, 0 = -3*d + 5*g + 56 - 21 for d.
5
Solve -3*p = -3*o - 3, -5 = 658*o - 653*o + 4*p for o.
-1
Solve -5*u + 4*g - 13 = 0, -184*u = -185*u + 5*g - 11 for u.
-1
Solve -3*z = -513*x + 510*x - 21, -47*z = 2*x + 161 for x.
-10
Solve -728*y + 15 = -724*y + t, y - 6 = 2*t for y.
4
Solve -5*b + 119*c - 92*c - 148 = 0, 5*b + 5*c + 20 = 0 for b.
-8
Solve -7*j + 3*j + 3*m = -14 + 22, -2*m = 0 for j.
-2
Solve 33 = 4*f + 18*l - 36 + 27, -3*l = 5*f + 6 for f.
-3
Solve -2*o + 5 = 7, -47*o + 53 = -5*i - 45*o for i.
-11
Solve -452*d + 454*d - 7 = -f, 5*f - 4*d = -49 for f.
-5
Solve 3*l = -2*c + 12, 4*c + 146*l - 14 = 145*l for c.
3
Solve -2*t = 200*m - 205*m + 29, 4*t - 5*m = -33 for t.
-2
Solve 2032 = 5*g + 2007, 3*s + 4*g - 29 = 4*s for s.
-9
Solve -5*k = -2*q - 277 + 134, 0 = -13*q + 13 for k.
29
Solve 530 = 3*n + 53*l, 45 = 4*n - 2*l + 65 for n.
0
Solve -14*i = -b - 7*i + 15, 0 = -5*b + 3*i + 43 for b.
8
Solve 27*c = 25*c - 2*u + 10, -u = -c - 1 for c.
2
Solve -18 = -2*o - 2*b, 57*b - 15 = -3*o + 60*b for o.
7
Solve -3*x = -4*o - 25, -3*o - 191 = -4*x - 167 for o.
-4
Solve -43 = -4*o + 5*m, 44*m = -4*o + 43*m + 25 for o.
7
Solve 6*j = r + 87, -2*j + 1366*r = 1368*r - 36 for j.
15
Solve -4*o = 10*g + 46, 27 = -3*o + 102*g - 107*g for o.
-4
Solve 75*p + w + 4 = 73*p, p - 5*w = -2 for p.
-2
Solve -5*n - 198*r + 200*r = 14, 8*n = 4*r - 20 for n.
-4
Solve -2*q + 2 = 3*n, 268*q - 267*q + 2*n = 2 for q.
-2
Solve 5*c - 45 = -5*x, 4*c + 104 = 2*x + 98 for c.
2
Solve 0 = -443*d + 442*d - 2*a + 9, 0 = 2*d + 5*a - 21 for d.
3
Solve 70 = 5*q + 5*c, -4*q + 190*c = 189*c + 24 for q.
-2
Solve 12 = -3*q, -29*i + 2*q + 23 = -32*i for i.
-5
Solve 4*v = 83*i - 79*i, -2*v = 3*i + 15 for v.
-3
Solve -5*w - 130 + 110 = o, -16 = -3*o + 4*w for o.
0
Solve 5*a + 21 = -4, 4*y - 4*a - 36 = 0 for y.
4
Solve 16 = -4*i + 3*u, 5*i + 125*u - 121*u - 11 = 0 for i.
-1
Solve -4 = -3*f - y, -14518*f + 3 = -14518*f + 3*y for f.
1
Solve 5*r + 62*h = 65*h + 99, -4*h = -4*r + 76 for r.
21
Solve 2103 = 3*r + 2*i + 2102, 5*i = -3*r - 11 for r.
3
Solve 4*q + 757*z + 10 = 754*z, z + 5 = -3*q for q.
-1
Solve 5*g - 2*t = -9, g - 23*t - 13 = -30*t for g.
-1
Solve 0 = f - 5*p - 22, 4*f + p + 47 = 51 | {
"pile_set_name": "DM Mathematics"
} |
039?
4/78039
Is 9515 less than or equal to -162.4?
False
Is -3658040 greater than or equal to -3658041?
True
Does 145776 = 145110?
False
Is -8230/51 bigger than 18/5?
False
Which is smaller: 0.2 or 7957915?
0.2
Which is smaller: -340261 or -340229?
-340261
Is 8056197/35 != 230178?
True
Is 4015742 greater than or equal to 3?
True
Is 120.1 < 132/37?
False
Is -55271 greater than or equal to -55759?
True
Which is greater: -12584 or -12094?
-12094
Which is smaller: 51082 or 51601?
51082
Are -33 and -275911/8519 equal?
False
Is 0 < 86/842881?
True
Which is bigger: 1 or 87274785?
87274785
Is 13 at most as big as -1435848?
False
Is 2314735/7 equal to 330675?
False
Are -28 and -4775204 non-equal?
True
Which is smaller: 281 or 113242/403?
113242/403
Is -10382304/13 >= -798640?
True
Do 14888602/195 and 76351 have the same value?
False
Is -11517 at least as big as 24?
False
Which is bigger: 305582 or 305558?
305582
Is 1354 less than -20.96?
False
Which is smaller: -0.20709189 or -14/5?
-14/5
Is 5177960 != 2?
True
Is -2768/440703 not equal to 0?
True
Which is smaller: -7968221 or -7968219?
-7968221
Which is smaller: -1/25 or -130338/11?
-130338/11
Which is smaller: -2301049 or -2301034?
-2301049
Is -691 equal to -124918/181?
False
Which is greater: -65.4113 or 487?
487
Which is greater: 33247330 or -1/6?
33247330
Are -13137935 and -13137935 equal?
True
Is 0 at most 2/151749237?
True
Which is smaller: 19 or -567/1223?
-567/1223
Is 1869/32909 greater than -1?
True
Is -272 less than or equal to 15/127373?
True
Is -23 equal to 1020577?
False
Which is bigger: -86305 or -86371?
-86305
Are 78453245 and 78453247 nonequal?
True
Which is bigger: -2408320 or -776?
-776
Which is smaller: 9826/17409 or 2?
9826/17409
Is 0 less than -2111.67123?
False
Which is smaller: 1 or -55/9964?
-55/9964
Is -330 at least as big as 6440?
False
Which is smaller: 8/10703 or -4/113?
-4/113
Which is smaller: -0.19 or -112805?
-112805
Is 3 less than -5624977?
False
Is -79.034521 not equal to -1/2?
True
Which is greater: 1 or -18/849115?
1
Is 0.0514013 less than 4.67?
True
Which is smaller: -3877928/227 or -17084?
-17084
Is -574784050 > -574784051?
True
Are -0.01 and 29255665/2 unequal?
True
Is -21 bigger than 273690/7?
False
Which is bigger: -10.966733 or 0.1?
0.1
Is -1 != -1363/1260976?
True
Is 8931848 at least as big as 8931849?
False
Do 463 and -52480 have the same value?
False
Is 68742938 < 68742918?
False
Which is smaller: 1514436 or 1514434?
1514434
Which is bigger: 0.3 or 4672857?
4672857
Which is smaller: -3277917 or -3277923?
-3277923
Is -109000079/4 greater than or equal to -27250020?
True
Is -4137675 at least -4137705?
True
Is 79758 != 7337683/92?
True
Which is bigger: -44325600 or -44325603?
-44325600
Which is greater: -22708633 or -22708636?
-22708633
Which is greater: 283752659 or 283752660?
283752660
Which is smaller: 1417188 or 4251566/3?
1417188
Which is greater: -16/2161375 or -1/4?
-16/2161375
Is 287 at most -219266?
False
Is 0 at most as big as 58/434439?
True
Which is smaller: -15479291/7 or -2211327?
-15479291/7
Which is greater: -170/64087 or 1?
1
Is 0 not equal to -522/1084295?
True
Are -125 and -25893/205 unequal?
True
Which is greater: -1930321 or -1/2?
-1/2
Which is smaller: 47/7 or 13504?
47/7
Are -425315 and -425450 nonequal?
True
Is 3/17841779 at most -1?
False
Which is greater: -7926 or -9/13?
-9/13
Which is greater: -85 or -6714/79?
-6714/79
Which is smaller: -1.6 or -18/659149?
-1.6
Which is smaller: 7513 or 3385?
3385
Which is bigger: 2 or -4243220?
2
Which is smaller: -1 or 267/2184520?
-1
Which is smaller: -1170026 or -12870282/11?
-1170026
Is 11153 > 11896?
False
Which is smaller: 1/5 or 26/36441?
26/36441
Which is smaller: 1089145/12 or 90762?
90762
Which is smaller: 4 or -2877909?
-2877909
Which is smaller: -20706825 or -38?
-20706825
Is -274300 bigger than -1920095/7?
False
Which is bigger: 3697486 or -1?
3697486
Which is smaller: 1 or 7/11763116?
7/11763116
Is 13177696 bigger than 13177696?
False
Which is smaller: -1 or -271/380275?
-1
Which is greater: 4663 or 8144?
8144
Which is greater: -37 or 1712/143?
1712/143
Which is bigger: -102314 or -2353198/23?
-2353198/23
Which is smaller: 751215 or 751296?
751215
Is 174511 not equal to 174602?
True
Which is smaller: -4131936 or -4131829?
-4131936
Is 10 > -9413?
True
Which is smaller: 40170 or 2?
2
Is -1475489 >= -1475494?
True
Is -218033 at least -218093?
True
Which is smaller: 4274431 or 4274319?
4274319
Which is greater: 277/10350 or -10?
277/10350
Do -39632178 and -39632194 have the same value?
False
Is 1181282/9 smaller than -62?
False
Is 2/501 less than 0.48374?
True
Do -12 and 20.774813 have the same value?
False
Are -7.48 and -203491 non-equal?
True
Which is smaller: 23604414 or 0.15?
0.15
Are 18 and 49483/2605 equal?
False
Which is smaller: -23746/21531 or -2?
-2
Is -268566 < -268548?
True
Which is smaller: -131175 or -131358?
-131358
Is -2/1375932335 less than -1?
False
Is 2/124265151 < 1?
True
Are 191845 and 23213358/121 non-equal?
True
Which is smaller: 155631 or 156174?
155631
Which is smaller: -55/14483804 or -1?
-1
Which is greater: 44/1810533 or -1?
44/1810533
Is -269 greater than -43652?
True
Do -8/531 and 13146 have the same value?
False
Which is smaller: -2 or -2630428.5?
-2630428.5
Which is greater: -0.21205 or -0.04068?
-0.04068
Which is smaller: -2/82085 or 1848?
-2/82085
Are 1 and -6947/29878 unequal?
True
Are -28833 and -27800 equal?
False
Is -1174637 greater than or equal to -1174640?
True
Which is bigger: 39127812 or 39127811?
39127812
Do 77 and 244372/3153 have different values?
True
Is 29 greater than or equal to 361414/11971?
False
Do -30601410/17 and -1800083 have the same value?
False
Is 8505940 equal to 8505915?
False
Which is greater: -900028 or -900035?
-900028
Which is greater: -3849901 or -0.1?
-0.1
Is 6500272 less than 6500274?
True
Is 2207 equal to -3629?
False
Which is bigger: -170570184 or -170570182?
-170570182
Is -306766/523 bigger than -586?
False
Does 2636189.8 = 2?
False
Are -7356077 and -7356070 unequal?
True
Which is smaller: 52728 or 6.4?
6.4
Are -203 and -81667/405 unequal?
True
Is -1/30 <= -0.0115166?
True
Is 49080/1319 < 38?
True
Which is smaller: 62068 or 61803?
61803
Which is greater: 2206881615 or 1/4?
2206881615
Is 188 less than 24581?
True
Is 0 <= -48413084?
False
Which is smaller: 1 or -3/14182951?
-3/14182951
Which is greater: 4/141629607 or 1?
1
Is 21493762 smaller than 21493762?
False
Is -13523 bigger than 36298?
False
Which is greater: -1151035 or 0.013?
0.013
Is -139652 greater than -11591115/83?
False
Which is greater: -2 or -3401457?
-2
Which is bigger: 46826528 or 46826526?
46826528
Do 781008 and 780544 have the same value?
False
Which is smaller: -419024/125 or -3353?
-3353
Which is smaller: 24446/56077 or 1?
24446/56077
Which is bigger: -490450 or -490266?
-490266
Which is greater: -721301 or -721299?
-721299
Is 3/4 less than or equal to 202562/11?
True
Are -44588081 and -44588082 nonequal?
True
Which is bigger: 4/4753399 or -1?
4/4753399
Are -1.7 and -8331602 equal?
False
Which is greater: -5/4849059 or 0?
0
Which is smaller: 0.1 or -63.889882?
-63.889882
Which is smaller: 167670246 or 167670250?
167670246
Which is bigger: -50/197 or 0.97?
0.97
Is 0 at most -421/1096628?
False
Is 101059121 > 101059117?
True
Which is smaller: -1 or 34/479143?
-1
Which is greater: 2003910 or 2003914?
2003914
Which is greater: 5083/8002 or 2/13?
5083/8002
Which is smaller: 1 or 233164872?
1
Does -80784698 = -2/7?
False
Which is smaller: 512339 or 512320?
512320
Which is smaller: 93640 or 1779149/19?
1779149/19
Is 0 bigger than 0.91731284?
False
Is -10793 greater than -10892?
True
Which is greater: -1/3700526 or -1?
-1/3700526
Is 6274934 not equal to 6274937?
True
Is 2 greater than 4763/7125?
True
Is 41317020 greater than 41317028?
False
Which is smaller: -8613219/22 or -391511?
-391511
Which is smaller: 0.4 or -125.79962?
-125.79962
Is -1/2 at least 218.3603?
False
Is -7675939 less than or equal to -7675940?
False
Which is smaller: 4027/267008 or 0?
0
Is -15707 not equal to -14407?
True
Which is smaller: 1 or 6026772?
1
Is -441735/167 at most as big as -2644?
True
Is -46038/1309 greater than or equal to -35?
False
Is -47/12272 bigger than -0.21?
True
| {
"pile_set_name": "DM Mathematics"
} |
u(i) = 0. What is i?
-13
Let t(f) be the second derivative of -f**7/4620 + f**6/1980 + f**5/330 - f**3/6 + 2*f. Let c(u) be the second derivative of t(u). Factor c(d).
-2*d*(d - 2)*(d + 1)/11
Suppose -2/9*d**4 + 4/9 + 10/9*d + 2/3*d**2 - 2/9*d**3 = 0. What is d?
-1, 2
Let c = -183 + 367/2. Factor c*q**3 - 1/2*q + 0 + 1/2*q**2 - 1/2*q**4.
-q*(q - 1)**2*(q + 1)/2
Let m = -122 + 126. Let n(c) be the second derivative of -c + 1/100*c**5 + 0 + 0*c**2 + 1/30*c**3 + 1/30*c**m. Factor n(k).
k*(k + 1)**2/5
Solve 2/15*j**3 - 6/5*j**2 - 8/3 + 16/5*j = 0.
2, 5
Let a(u) be the first derivative of 0*u**3 + 0*u**4 - 1/150*u**5 + 1/2*u**2 + 1 + 0*u. Let r(n) be the second derivative of a(n). Factor r(y).
-2*y**2/5
Let c(r) be the second derivative of r**6/15 - r**4/3 + r**2 - r - 1. Solve c(o) = 0.
-1, 1
Let i be 1/(((-45)/(-20))/9). Factor 2/9*q**3 - 4/9*q**5 - 2/9*q**i + 0*q**2 + 0*q + 0.
-2*q**3*(q + 1)*(2*q - 1)/9
Suppose -5*v + 4*v = 25. Let w be 6/v*(-10)/3. Suppose 0*q**2 + 2/5*q**5 + 0*q**4 + 0 + 2/5*q - w*q**3 = 0. What is q?
-1, 0, 1
Let y be 56/40 + (-2)/5. Let m be (-8)/(-6) - (0 + y). What is q in 1/6*q**4 - 1/2*q**2 + 0 - m*q + 0*q**3 = 0?
-1, 0, 2
Solve 12*d**4 - 58*d**3 + 4*d**5 + 125*d**3 - 59*d**3 = 0.
-2, -1, 0
Let x = 608 - 608. Factor -3/5*p**5 + 0 + 3/5*p**2 - 3/5*p**4 + x*p + 3/5*p**3.
-3*p**2*(p - 1)*(p + 1)**2/5
Let n(b) be the third derivative of 1/140*b**7 + 0*b**3 + 1/120*b**5 - 1/80*b**6 + 0*b + 0 + b**2 + 0*b**4 - 1/672*b**8. Suppose n(t) = 0. What is t?
0, 1
Let d be (-4)/3*-1*(-6)/(-4). Factor 0*s**d - 1/3 - 1/6*s**3 + 1/2*s.
-(s - 1)**2*(s + 2)/6
Let p(o) be the second derivative of o**6/120 + o**5/40 - o**3/6 - 6*o. Let q(d) be the second derivative of p(d). Factor q(z).
3*z*(z + 1)
Let n(f) be the first derivative of -f**3/9 + f**2/2 - 2*f/3 + 2. Factor n(g).
-(g - 2)*(g - 1)/3
Let -16*i - 16*i - 20*i**2 + 9*i + 3*i - 5*i**3 = 0. Calculate i.
-2, 0
Let a(b) be the third derivative of 5*b**8/672 + 5*b**7/168 - b**6/96 - 7*b**5/48 - 5*b**4/96 + 5*b**3/12 - 18*b**2. Solve a(t) = 0 for t.
-2, -1, 1/2, 1
Let u(w) be the third derivative of w**5/42 - w**4/12 + 2*w**3/21 + 2*w**2. Factor u(l).
2*(l - 1)*(5*l - 2)/7
Let j(t) be the first derivative of -3*t**4/28 + t**3 - 45*t**2/14 + 27*t/7 - 6. Solve j(x) = 0.
1, 3
What is f in -2*f**2 - 4*f + 9*f - 3*f + 4*f = 0?
0, 3
Factor 128/13 + 24/13*n**2 - 2/13*n**3 - 96/13*n.
-2*(n - 4)**3/13
Let a be 2*(-3)/(-6)*0. Let x = a + 0. Factor -2/5*z**3 + 2/5*z**2 + x + 0*z.
-2*z**2*(z - 1)/5
Let j(p) be the third derivative of 0 + 0*p - 2*p**2 - 2/105*p**7 + 0*p**6 + 1/3*p**4 + 1/5*p**5 + 0*p**3. Factor j(i).
-4*i*(i - 2)*(i + 1)**2
Factor 483*d**2 - 2*d**3 - 477*d**2 + 4 - d**4 - d**4 + 10*d.
-2*(d - 2)*(d + 1)**3
Suppose -4 = -0*i - 2*i. Suppose -4*r = -t + 3 + 4, 0 = -2*r - 2. Factor 3*h**2 + h**2 - 4*h**t - 2 + 2*h**i.
-2*(h - 1)**2*(2*h + 1)
Let y be (12/(-14))/(6/(-21)). Let g(i) = i + 2. Let j be g(0). Factor -4*v + 5*v**2 - 4*v**2 + j*v**y + v**2.
2*v*(v - 1)*(v + 2)
Suppose 0*v = 4*v - 8. Suppose -v*a - 4 = -4*a. Factor -4*p**5 + a*p**5 - p**5 + 5*p**5.
2*p**5
Let -8/5 + 32/5*y - 42/5*y**2 + 18/5*y**3 = 0. Calculate y.
2/3, 1
Let f = -29 + 33. Let u(l) be the third derivative of 1/28*l**f + 0*l - 1/42*l**5 + 2/21*l**3 + 0 - 3*l**2. Factor u(h).
-2*(h - 1)*(5*h + 2)/7
Let y(l) = 7*l**3 + 13*l**2 - 23*l + 3. Let o(w) = 17*w - 8*w**3 - 8 + 7*w - 9 + 13 - 12*w**2. Let u(s) = 5*o(s) + 4*y(s). Solve u(j) = 0.
-2, 1/3, 1
Let x be 3/2*(-30)/(-135). Let w be 4/3 - (0 - -1). Factor -w*v**4 + 1/3*v**2 + 0 + x*v**3 - 1/3*v.
-v*(v - 1)**2*(v + 1)/3
Let m = -3 + -7. Let x(i) = i + 10. Let j be x(m). Factor -2*b + 4*b**4 + j*b**4 - 2*b**3 + 2*b - 2*b**5.
-2*b**3*(b - 1)**2
Factor 2*z**2 + 3*z**2 + 137*z - 152*z.
5*z*(z - 3)
Let g(l) be the third derivative of 1/840*l**7 + 1/448*l**8 + 0*l**5 + 0*l**3 - 3*l**2 - 1/240*l**6 + 0*l**4 + 0*l + 0. Solve g(t) = 0.
-1, 0, 2/3
Let o be 1 - (47/12 - 3). Let h(x) be the third derivative of 0 + 1/240*x**6 - 1/48*x**4 + o*x**3 + x**2 - 1/120*x**5 + 0*x. Let h(v) = 0. Calculate v.
-1, 1
Let i(k) = k**2 + 7*k + 4. Let x be i(-7). Factor -r**2 - r**3 - 3 + r + x + 0*r.
-(r - 1)*(r + 1)**2
Let a(w) = w**3 + 8*w**2 + 2*w + 16. Let m be a(-8). Factor -1/2*i**2 - 4*i**4 - 7/2*i**3 + m*i + 8*i**5 + 0.
i**2*(i - 1)*(4*i + 1)**2/2
Suppose -10*d**4 - 4*d**5 + 8*d - 5*d**3 + d**3 + 12*d**2 - 4*d**4 + 2*d**4 = 0. Calculate d.
-2, -1, 0, 1
Suppose 5*v - 9 = w - 0*w, 5*v - 15 = 0. Let a(u) = u**3 - u. Let j(x) = 3*x**3 + 3*x - 6. Let s(l) = w*a(l) - j(l). Suppose s(g) = 0. What is g?
-2, 1
Factor 3*o**2 + 9*o**4 - 2*o**5 - o**5 + 10*o**3 - 19*o**3.
-3*o**2*(o - 1)**3
Let j(k) be the first derivative of -2*k**7/63 + k**5/20 - k**4/36 - k + 1. Let x(z) be the first derivative of j(z). Factor x(n).
-n**2*(n + 1)*(2*n - 1)**2/3
Let z(q) = -q**3 - 9*q**2 + 3. Let l be z(-9). Let j(a) = a**3 - 3*a**2 + 3. Let t be j(l). Suppose 0*g + 2/7*g**4 + 0 - 2/7*g**2 + 0*g**t = 0. What is g?
-1, 0, 1
Let h(v) be the third derivative of -v**7/2100 + v**6/900 + v**5/150 + v**3/2 + v**2. Let j(u) be the first derivative of h(u). Factor j(g).
-2*g*(g - 2)*(g + 1)/5
Let y(n) be the second derivative of 0*n**2 - 7*n + 0 + 2/3*n**3 - 2/3*n**4 + 1/4*n**5 - 1/30*n**6. Factor y(z).
-z*(z - 2)**2*(z - 1)
Let j(a) = -a**3 - 14*a**2 - 25*a - 8. Let p(y) = -9*y**3 - 114*y**2 - 201*y - 63. Let z(n) = 33*j(n) - 4*p(n). Find v, given that z(v) = 0.
-1, 4
Let v(k) be the third derivative of -2*k**6/15 + 4*k**5/15 - k**4/6 + 21*k**2. Let v(n) = 0. Calculate n.
0, 1/2
Let d(i) be the first derivative of -3*i + i**3 - 4 + 3/4*i**4 - 3/2*i**2. Factor d(j).
3*(j - 1)*(j + 1)**2
Let d = -14 + 2. Let i = d - -16. Solve 0 + 0*k**3 + 0*k - 2/9*k**i + 2/9*k**2 = 0.
-1, 0, 1
Suppose -18 = -5*u + 9*c - 7*c, -2*u = 3*c - 11. Factor 3/8*x**2 + 0*x + 0 - 3/4*x**3 + 3/8*x**u.
3*x**2*(x - 1)**2/8
Factor -2*q**2 + q**2 - 2*q**2 - 2*q**2 + 25*q.
-5*q*(q - 5)
Let h(t) be the third derivative of -t**8/60480 - t**7/2520 - t**6/240 - t**5/15 - 3*t**2. Let i(c) be the third derivative of h(c). Factor i(m).
-(m + 3)**2/3
Suppose 0 = -6*b + b + 15. Let u(p) be the third derivative of 1/144*p**4 + 0 - 1/720*p**6 - 1/1260*p**7 + 1/360*p**5 + 0*p + 0*p**b - 3*p**2. Solve u(w) = 0.
-1, 0, 1
Let h be 857*(4/(-18))/(-2). Let f = h - 95. Factor -2/9*x**3 + 2/9*x + 2/9*x**2 - f.
-2*(x - 1)**2*(x + 1)/9
Let p(u) be the third derivative of u**2 - 1/720*u**6 - 1/3*u**3 + 0*u**4 + 0*u + 0*u**5 + 0. Let f(b) be the first derivative of p(b). Factor f(j).
-j**2/2
Let d be (-4)/20 - 32/(-10). Find q such that 0 + 8 - 4 - 6*q + 2*q**d = 0.
-2, 1
Let s be (-14)/(-21) - (2 - 13/3). Let m(o) be the second derivative of 0 - 1/42*o**4 - 1/21*o**3 - s*o + 0*o**2. Let m(g) = 0. What is g?
-1, 0
Let a(z) be the second derivative of -z**7/21 + 3*z**6/5 - 13*z**5/5 + 3*z**4 + 9*z**3 - 27*z**2 + 27*z. Let a(s) = 0. Calculate s.
-1, 1, 3
Suppose -3*d = -0*d. Determine c so that 42*c**2 + 2 - 44*c**2 + d = 0.
-1, 1
Let q(u) be the first derivative of -u**5/150 + u**4/30 - u**3/15 - u**2 - 11. Let f(w) be the second derivative of q(w). Let f(z) = 0. Calculate z.
1
Let u(y) = -2*y**2 + 5*y - y + 5 - 2 - 3*y. Let b(j) = j**2 - 6*j + 5. Let c be b(4). Let p(r) = -5*r**2 + 2*r + 7. Let d(k) = c*p(k) + 7*u(k). Solve d(l) = 0.
-1, 0
Find o such that -2/7*o + 0*o**3 + 4/7*o**4 + 2/7*o**5 + 0 - 4/7*o**2 = 0.
-1, 0, 1
Find q, given that -2/9*q - 2/9*q**2 + 0 + 2/9*q**3 + 2/9*q**4 = 0.
-1, 0, 1
Let a(g) = g**2 + g. Let v be a(3). Let h be 14/8 - (-3)/v. Find x such that 3 - 3 - 6*x**3 - 2*x**h = 0.
-1/3, 0
Let m be 870/294 - (1 - -2). Let w = 45/98 - m. What is j in 1/2*j - j**2 + 0 + w*j**3 = 0?
0, 1
Suppose u + 3 + 3 = 0. Let i(o) = 2*o**4 - 12*o**3 + 2*o**2 + 12*o - 4. Let f(r) = -r**4 + r**3 - r + 1. Let c(q) = u*f(q) - i(q). Let c(m) = 0. What is m?
-1, -1/2, 1
Let j(o) = o**2 - 4*o + 1. Suppose -7*s = -2*s - 25. Let q be j(s). Factor -2*k + q*k**2 - 6*k**3 - 5*k**4 + 4*k**4 + 3*k**4.
2*k*(k - 1)**3
Let u(b) = -b**2 - 12*b + 4. Let k(w) = 5*w**2 + 61*w - 20. Let h(v) = 2*k(v) + 11*u(v). Let r be h(-10). Factor -1 + f**3 - 1 - 2*f**r + 2.
-f**3*(2*f - 1)
Let t(m) be the first derivative of m**4/2 - 14*m**3/15 - 8*m**2/5 + 8*m/5 + 2. Factor t(k).
2*(k - 2)*(k + 1)*(5* | {
"pile_set_name": "DM Mathematics"
} |
j = -10 + 10. Suppose 2*l - 8 = j, 0*g + g - 2*l + 4 = 0. Let d = 20 + -10. Solve d = g*k + k for k.
2
Suppose -645 = -201*a + 1164. Solve 6*p = -3*p + a for p.
1
Suppose g + p = -184, 3*g + 548 = 3*p - 5*p. Let n be (-4*6/(-20))/((-54)/g). Solve -n - 4 = -2*q for q.
4
Let o(f) = 2*f**2 + 13*f - 12. Let p(g) = g**2 - g. Let h(y) = o(y) - p(y). Let a be ((-60)/2)/(0 - -2). Let r be h(a). Solve r*u + 1 + 11 = 0 for u.
-4
Suppose 6*g - 12 = -6. Let f be 4 + (56/28 - (-1 + g)). Solve -f*k - 2*k = 40 for k.
-5
Suppose 3575*o - 3579*o + 560 = 4*q, 4*q - 580 = o. Solve -27*r - q = -36 for r.
-4
Let x(y) = y - 6. Let s be x(4). Let j be (-61)/(-4) + s/8. Let i be (-224)/28 - (44 + -56). Solve i*v = 7*v + j for v.
-5
Suppose -2 = -4*l + 6. Let q = 182 - 229. Let m = q + 54. Solve -l*u + m = -3 for u.
5
Let o(j) = 298*j + 1834. Let v be o(-6). Solve -25*d + v*d - 84 = 0 for d.
4
Suppose -5*r - 158 = -x, -2*x + 3*r + 182 + 99 = 0. Let v = x + -124. Solve z = 4*z + v for z.
-3
Let o be 2/3 + (-7 - 1232/(-42)). Suppose -o = -7*n + 5. Solve n*d - 25 = 9*d for d.
-5
Suppose -171*k - 64*k + 32341 = -34634. Solve 5*w - 310 = -k for w.
5
Let n(o) = -9*o**2 + 14*o + 8 + o**3 - 3*o**2 + 2*o**2. Let i be n(8). Let d be ((-80)/(-6))/(i/(-12)). Solve -b - d = 3*b for b.
-5
Let d = -3 - 3. Let v be (-10)/((-15 - d) + 7). Solve x - 1 = -v for x.
-4
Let i = -141 + 133. Let r be (-50)/50 - i/2. Solve 19 - r = 8*k for k.
2
Suppose 0 = 4*t + 3*u - 20, 3*t + u = -u + 14. Suppose f = t*f - 4. Suppose -15*h + 33 = -f*h. Solve -h*j = -j + 8 for j.
-4
Suppose 84*b - 12 = 88*b. Let f = b + -27. Let v be (-1)/(f/35 - (-2)/(-14)). Solve -h = -0 + v for h.
-1
Suppose 10 = j + r, -j + 21*r = 24*r - 20. Let m be 6 - 20/j - (0 + 2). Solve m*s + 3 = -3*s for s.
-1
Let d be -36*((-15)/9)/((-15)/(-6)). Solve -d*y + 34*y = -26*y for y.
0
Let c be -1 - ((-3)/(-3) + -6). Let k = 33 - 31. Suppose 0 = 31*j - 17*j. Solve -k*a + j = -c for a.
2
Suppose 4*g = -204*z + 202*z + 308, -24 = 4*z. Solve g + 100 = 30*j for j.
6
Let o = -36552 + 39501. Solve 5*j + 2919 = o for j.
6
Suppose -5*z - 5*u + 510 = 0, -65*u + 112 = z - 69*u. Solve -z*j + 111*j + 56 = 0 for j.
-8
Suppose 39 = 4*i + h + 4, -5*h = -i - 7. Solve -i = -3*u + 4 for u.
4
Suppose 3*c - 33 - 27 = 0. Let m be 15/c*(-5 + 3 + -2). Let w be (m/2)/(1/(0 - 2)). Solve q = w*q + 2 for q.
-1
Suppose s = -g - 2*s - 1, 3*g + 3*s = 3. Suppose 3*h = 5*h - g, c - 8 = -2*h. Let u be (9/c)/((-9)/(-12)). Solve -10 = 3*k + u*k for k.
-2
Let j = 19 + -21. Let q(z) = 2*z**2 + 6*z + 13. Let y(b) = -b**2 - 3*b - 6. Let p(h) = j*q(h) - 5*y(h). Let w be p(-3). Solve 5 + 3 = w*s for s.
2
Suppose -4*g = -o + 13, -59 = -2*o + 5*g - 27. Solve -o*d - 4 = -20*d for d.
-4
Let v(w) = -2 - 1 - w + 4. Let z(a) = -a**3 - a**2 + 4*a - 9. Let p(j) = 5*v(j) + z(j). Let f be p(-2). Solve -f = -x - 6 for x.
-4
Let u = 9 + -7. Suppose -4*n - u*m + 46 = 14, 4*n - 32 = -5*m. Let t be ((-1)/2)/(0 - 1/n). Solve -t*j = -0*j for j.
0
Let j = 139 - 141. Let k be (j/(-6))/(15/135). Solve k = 4*v + 11 for v.
-2
Let f(w) = 4*w**3 - 13*w**2 - 14*w + 4. Let r be f(4). Suppose -68 - 40 = -2*t. Let z be r/10 + t/10. Solve -z*h + 3 = -12 for h.
3
Let n be 9*((-310)/(-31))/30. Suppose 0 = -a - 4*x + 17, -3*a + 33 = -2*x + 10. Solve n*y + a*y = -24 for y.
-2
Let t = -17 + 66. Let d = t - 40. Suppose d*l = 5*l + 16. Solve -l*x = -x + 9 for x.
-3
Let d(i) = i**2 + 31*i - 160. Let z be d(6). Solve -z*s = 12*s + 222 for s.
-3
Suppose 3*j + j + 4*v + 8 = 0, 0 = j + 5*v + 22. Suppose 5*s - 92 = r, 0 = 3*r - 198 + 189. Solve j*f - s = -25 for f.
-2
Let s be 13*2/(6*(-4)/(-12)). Suppose -12*p + s*p = 3. Solve p*a = -2*a - 5 for a.
-1
Let j = -55 - -80. Suppose -5*r = -2*s + j, -3*s + 4*r = -16 - 4. Let f be (-11)/22*(s + 0). Solve 6*w - w = f for w.
0
Let n be ((-5)/30)/((-18)/53676). Solve -4*k - n = -513 for k.
4
Suppose 27 = -15*w + 207. Solve j - w = 7*j for j.
-2
Let z be (10/4)/((-136)/16 + 9). Solve -z*q - 128 + 128 = 0 for q.
0
Suppose -a = -5*r + a + 82, -5*a - 5 = 0. Suppose 4*c + r = 0, -148 = 4*l - 0*l - 2*c. Let f = l + 43. Solve -f*p = p - 20 for p.
4
Let p(m) = 14*m**2 + 10*m + 11. Let i be p(-1). Suppose 40*c - i = 65. Let u(k) = -k**2 + k + 7. Let g be u(0). Solve -c = -3*v + g for v.
3
Let t be 29/2784*-6 + (-1)/(-16). Solve t = 242*q - 248*q - 30 for q.
-5
Let g(v) = v**3 + 11*v**2 + 29*v - 1. Let m be g(-5). Suppose 0*d + 2*y = 2*d - m, -4*y = 0. Solve 3*x - d = 4*x for x.
-2
Let f = 29 + -9. Let j(g) = 2*g**3 + 110*g**2 - 1608*g + 84. Let x be j(-67). Solve 80*d - x*d + f = 0 for d.
5
Suppose 2*c + 4*z = 88, -43*c + 38*c = z - 256. Solve 0 = 33*w - c*w - 19 for w.
-1
Suppose 3*v = 4*v + 4*b - 167, 0 = 3*v + 5*b - 466. Let m = -131 + v. Solve -m = -3*a - 1 for a.
5
Let o(j) = 23*j - 249. Let w be o(13). Solve -9*m - 14 = -w for m.
4
Let r be -3*19*(-1)/(-1). Let b = -5174 + 5121. Let y = b - r. Solve 3*x + 2 = -y for x.
-2
Let a(k) = k**3 - 14*k**2 + k + 15. Let s be a(14). Suppose -4*d + 3*d + 1 = 0, 5*g + 4*d = s. Solve 0 = 5*l + 15 + g for l.
-4
Suppose -192*c + 189*c - 33 = 0. Let g be c/(-22) - 45/(-10). Solve k = 2*k - g for k.
5
Let z = 1276 - 1030. Solve -z*w - 7 = -253*w for w.
1
Suppose j + 5*o = -0*o - 16, -5*o = 2*j + 12. Let g = -5067 + 5087. Solve -j*c + g = -0*c for c.
5
Let p(n) = n**3 + 18*n**2 - 2*n - 32. Suppose 0 = 3*u + 13 + 41. Let b be p(u). Suppose t = -t + b. Solve 0*f = -t*f - 6 for f.
-3
Let s(x) = -2*x**2 - 144*x - 910. Let c be s(-65). Solve 2*d - 44 + 38 = c for d.
3
Suppose -44 = -2*d - 9*d. Suppose -3*f - r - 55 = -69, d*r = 3*f + 11. Suppose -i + 15 - 3 = 0. Solve l - i = -f*l for l.
3
Let j be 1578/45 + (-49)/735. Solve -37*t = -2 - j for t.
1
Let g = 34 - 20. Let o be (-2)/g + 13/91 + -59. Let u = o - -71. Solve 2*y - u = -y for y.
4
Let r be 1 + -2*(5 - 16). Solve r*v - 13*v = -20 for v.
-2
Let c = -32932 - -32935. Suppose -k = -2 - 0. Suppose k*h - 12 = -0. Solve -c*z - h = -0*z for z.
-2
Let p(z) = 12*z. Let k be p(2). Let j = 14 - k. Let o(i) = -2*i - 19. Let x be o(j). Solve g + 1 + x = 0 for g.
-2
Suppose 9*a + 30 - 48 = 0. Let w(v) = -v**3 + 2*v + 1. Let i be w(-1). Let t be i + (3/(-3))/(-1). Solve -t + 3 = a*d for d.
1
Let q(b) = 12*b - 261. Let u be q(22). Let w = -8 - -13. Suppose 30 = w*a + 7*o - u*o, -2*a - 1 = -o. Solve -3 = g - a*g for g.
3
Suppose -5*j + 30 = 5*m - 0*m, 2*m - 12 = 2*j. Suppose 360*o - 72 = 372*o. Let l be ((-10)/o)/(250/300). Solve -i = -l + m for i.
-4
Let r(g) = g**3 + 7*g**2 + 4*g - 8. Let p be r(-6). Suppose 0*s - 5 = -s. Suppose -911*z + 81 = -487*z - 343. Solve s*t - p = z for t.
1
Let n(b) = -33*b + 52. Let z be n(-11). Let x = -407 + z. Solve x*v = 4*v + 4 for v.
1
Let s be (0/((-4)/(8 - 4)))/1. Let x be (0 - s)/(3 + -2). Let b(j) = -j - 2. Let h be b(-2). Solve 2*w + h*w = x for w.
0
Let k(s) = -s - s - 2*s - 4 + s**2. Let o be k(5). Solve o = 2*t - 5 for t.
3
Let o(w) be the second derivative of -2*w**3/3 + 3*w. Let n be o(3). Let r be 1 + 0 - (n/(-2) - 7). Solve r*j = j for j.
0
Let z(b) be the first derivative of -5*b**2/2 + 161*b + 22. Let m be z(27). Solve -27*s = -m*s for s.
0
Let j(o) = -o**3 - 7*o**2 - 7*o - 3. Let c be j(-6). Suppose -3394 = -45*g + 14336. Let x = 394 - g. Solve -c*h + x*h + 3 = 0 for h.
1
Let k(y) = 179*y - 514. Let o be k(3). Solve 0 = 30*h + o*h + 371 for h.
-7
Suppose -3696 = -4*u + 3*o, -5*o = -69 + 29. Solve -920 = 10*v - u for v.
1
Suppose 2*x + 31 = 3*x + 18. Solve 29 + 36 = -x*y for y.
-5
Let b = 2385 - 2350. Solve b = -35*k + 28*k for k.
-5
Suppose -55*v + 224*v - 4225 = 0. Solve v = -51*i + 56*i for i.
5
Let l be 2/7 - -3*(-6)/63. Suppose l*g = -6*g - 66. Let b = g + 15. Solve j - 5 = -b*j for j.
1
Let l(u) = -2*u**3 + 2*u**2 - 2*u. Let j be l(3). Suppose -f = 2*i + 48, -4*f - 5*i - 5 = 181. Let m = j - f. Solve k + 3 = -m*k for k.
-1
Suppose 9 = 3*t, -4*a + 7 = -2*t - 27. Suppose -a*j - 15 = -15*j, 0 = -4*m - 4*j + 52. Solve 5*y - m = 5 for y.
3
Let g(c) = -55*c**2. Let q be g(-1). Let t = -45 - q. Suppose -1 = 3*m - t. Solve -m*l = 2*l for l.
0
Suppose 2533*j + 120 = 2543*j. Solve -33*r = -j*r - 42 for r.
2
Let z be (-30)/(-25)*(-4)/8*(0 - 45). Solve 22*c = -z*c + c for c.
0
Suppose -103*u - 28*u + 2278 = 3*u. Solve -u*p = -4 + 21 for p.
-1
Suppose 2*j + 7*j = | {
"pile_set_name": "DM Mathematics"
} |
t the terms in 5*x**2 - 16185 + 16185 - 8*x**2.
-3*x**2
Collect the terms in 1187335*b**3 + 1187334*b**3 - 2374668*b**3.
b**3
Collect the terms in -114 + 6*a + 54 - 37*a + 60.
-31*a
Collect the terms in -906*y**2 + 14 - 7 + 904*y**2 - 3.
-2*y**2 + 4
Collect the terms in 6720*x**2 - 2663*x**2 + 8558*x**2 + 1025*x**2.
13640*x**2
Collect the terms in 197*j - 613*j - 337*j - 612*j.
-1365*j
Collect the terms in 1004*u**2 + u**3 + 2*u**3 - 884*u**2 - 120*u**2.
3*u**3
Collect the terms in 232*j - 701*j - 10*j**3 + 236*j + 233*j.
-10*j**3
Collect the terms in 128*n**2 - 5147 + 5147.
128*n**2
Collect the terms in -76992 + 76992 + 33*t.
33*t
Collect the terms in -287*b**2 - 1717*b + 1717*b.
-287*b**2
Collect the terms in -8*z**3 - 199*z**3 + 137 - 137.
-207*z**3
Collect the terms in 7*c**2 + 8*c**2 + 2*c**2 - 21*c**2.
-4*c**2
Collect the terms in -50*k - 35*k - 44*k + 141*k.
12*k
Collect the terms in -189*l + 428*l + 1157*l.
1396*l
Collect the terms in -84*r**2 - 67*r**2 + 227*r**2 - 77*r**2.
-r**2
Collect the terms in 27*m**2 + 726*m**3 - 48*m**2 + 23*m**2.
726*m**3 + 2*m**2
Collect the terms in 2*u**2 - 691*u**3 - 2*u**2 - 1730*u**3.
-2421*u**3
Collect the terms in -5 - 100*m**2 + 3 + 29*m**2 + 76*m**2.
5*m**2 - 2
Collect the terms in 2*t - 3 + 3 + t**2 - 5*t**2 + 5*t**2.
t**2 + 2*t
Collect the terms in 131*w - 92*w + 405*w + 265*w - 29*w.
680*w
Collect the terms in -373*l + 256*l - 145*l + 262*l + l**2.
l**2
Collect the terms in -3 + 4 + 828*b - 768*b.
60*b + 1
Collect the terms in 102*q + 23 + 23 + 26 - 72.
102*q
Collect the terms in 8791*p**2 - 4439*p**2 - 4453*p**2.
-101*p**2
Collect the terms in 3*u + 5*u - 14*u + 10*u + 10*u - 2*u.
12*u
Collect the terms in -3765147*c**3 - 4 + 3765168*c**3 + 4.
21*c**3
Collect the terms in -6*q**2 - 7*q**2 + 7*q**2 - 7*q**2 + 2*q**2.
-11*q**2
Collect the terms in -2 + 490739*q + 3 - 1 - 490733*q.
6*q
Collect the terms in 11*t**2 + 11454043 - 11454043.
11*t**2
Collect the terms in 3 - 18 - 19 + 2*i - 11.
2*i - 45
Collect the terms in -5*t**3 + 28 + 4*t**3 + 15 - 3*t**3.
-4*t**3 + 43
Collect the terms in 14 - 15*t - 5 - 10.
-15*t - 1
Collect the terms in 4920*t**3 + 3843*t**3 + 1183*t**3 + 9553*t**3.
19499*t**3
Collect the terms in -1467918 + 1467918 + 21*i**3.
21*i**3
Collect the terms in 7*f + 2*f - 4*f - f + 12*f - 45*f.
-29*f
Collect the terms in -10078513563 + 10078513563 + 39*h**2.
39*h**2
Collect the terms in -746*a - 2 + 2 - 772*a + 1540*a.
22*a
Collect the terms in -18*o**2 + 325 + 316 + 319 - 1286 + 326.
-18*o**2
Collect the terms in -189*b - b + 31*b.
-159*b
Collect the terms in 764*x**2 - 764*x**2 + 14*x**3.
14*x**3
Collect the terms in 291*o**2 + 78*o**2 + 92*o**2 - 16*o**2.
445*o**2
Collect the terms in 245*c**3 - 81*c**3 - 87*c**3 - 76*c**3.
c**3
Collect the terms in -363*o - 359*o + 1602*o - 359*o - 520*o.
o
Collect the terms in -86 - 11*i**2 + 39*i**2 - 24*i**2 + 86.
4*i**2
Collect the terms in 710*m**2 + 476*m**3 - 351*m**2 - 359*m**2.
476*m**3
Collect the terms in -13*n**3 - 22104123*n**2 + 22104123*n**2.
-13*n**3
Collect the terms in -23*x - 25*x + 59*x.
11*x
Collect the terms in 14*w - 180 - 178 + 358.
14*w
Collect the terms in -67*k + 19 + 83 + 73*k.
6*k + 102
Collect the terms in 4*f - 4*f + 0*f - 96*f**3.
-96*f**3
Collect the terms in 204*a**3 - 254*a**3 - 380*a**3.
-430*a**3
Collect the terms in 724*w**3 + 1279*w**3 - 2001*w**3.
2*w**3
Collect the terms in 158 - 4*u - 4186*u**2 - 158.
-4186*u**2 - 4*u
Collect the terms in -1 - 120*s + 3 - 1 - 7625*s**2.
-7625*s**2 - 120*s + 1
Collect the terms in 64*j**2 - 69*j**2 - 4 + 0 + 3 + 137*j**2.
132*j**2 - 1
Collect the terms in 5 - 40*t + 4 - 45 + 4*t.
-36*t - 36
Collect the terms in -45742*v**2 + 91435*v**2 - 45708*v**2.
-15*v**2
Collect the terms in -42445907 + 42445907 + 3*f**3 - 2*f**3.
f**3
Collect the terms in 45*r**3 + 42*r**3 + 35*r**3 + 34*r**3 - 173*r**3.
-17*r**3
Collect the terms in 19*j + 70 + 4*j**2 - 3*j - 16*j - 2*j**2.
2*j**2 + 70
Collect the terms in -106*x + 341*x - 2*x**3 - 112*x - 123*x.
-2*x**3
Collect the terms in 1 - 12 + 11 - 13685*i**2 + 13687*i**2.
2*i**2
Collect the terms in -3*h - 318*h**2 + 3*h.
-318*h**2
Collect the terms in 2*c - 119*c**2 + 74*c**2 - 124*c**2.
-169*c**2 + 2*c
Collect the terms in -3*w + 1 + 0 + 51*w**3 - 12*w - 2.
51*w**3 - 15*w - 1
Collect the terms in -3*b - 6231049*b**2 + 6231048*b**2 + 3*b.
-b**2
Collect the terms in -397 + 397 - 2600048*j + 2600055*j.
7*j
Collect the terms in -272*v + 242*v - 3 + 3.
-30*v
Collect the terms in -7*n**2 + 20*n**2 - 2*n**2 + 18 - 9*n**2.
2*n**2 + 18
Collect the terms in -15302*n - 15300*n - 15303*n + 45900*n.
-5*n
Collect the terms in 35*j**3 + 98*j**2 - 202*j**2 - 2 + 1 + 104*j**2.
35*j**3 - 1
Collect the terms in -2*j**2 + 150*j**3 + 209*j**3 - 3*j**2 + j**2 + 330*j**3.
689*j**3 - 4*j**2
Collect the terms in -6 - 476*q + 10 - 1 - 7.
-476*q - 4
Collect the terms in -547 + 0*j - j + 976.
-j + 429
Collect the terms in 61 + 29854*j**3 - 29845*j**3 - 61.
9*j**3
Collect the terms in -5415*o + 16220*o - 5409*o + 6*o**3 - 5396*o.
6*o**3
Collect the terms in -30*g + 198 + 10*g - 399 - 8*g + 199.
-28*g - 2
Collect the terms in -103*k**2 - k + 2*k + 329*k**2 - 3*k.
226*k**2 - 2*k
Collect the terms in 34*f + 24*f + 36*f + 38*f + 63*f - 193*f.
2*f
Collect the terms in -47*i + 320*i + 630*i.
903*i
Collect the terms in 1014*d + 1004*d + 1005*d - 4023*d + 1010*d.
10*d
Collect the terms in -31*k**3 + 7*k**2 - 13 + 4 - 5*k**2.
-31*k**3 + 2*k**2 - 9
Collect the terms in 62*y**3 - 160*y**3 - 91*y**3.
-189*y**3
Collect the terms in -101*v - 99*v - 99*v + 310*v.
11*v
Collect the terms in 3*d**2 + 15*d**2 - 21*d**2 + 67*d**2 - 172*d**2.
-108*d**2
Collect the terms in -29417*j - 1 + 29417*j + 1 - j**3.
-j**3
Collect the terms in 2210*l**3 - 1053*l**3 - 432*l**3.
725*l**3
Collect the terms in -26434*x**3 + x**2 - x**2 + 26420*x**3.
-14*x**3
Collect the terms in 3 - 673*m - 8 + 8*m**3 + 5.
8*m**3 - 673*m
Collect the terms in -226 - 229 - 6518358*y**2 + 455 + 6518356*y**2.
-2*y**2
Collect the terms in -1 + 1 - 1513*p**3 + 4754*p**3.
3241*p**3
Collect the terms in 23*d**3 - 155*d + 5*d - 56*d.
23*d**3 - 206*d
Collect the terms in -565*c**2 - 348*c**2 + 214*c**2.
-699*c**2
Collect the terms in -344124*x + 688236*x - 344112*x - 4*x**2.
-4*x**2
Collect the terms in -137273*y + 137273*y - 1024*y**2.
-1024*y**2
Collect the terms in 3219994 - 3219996 - m - 29*m.
-30*m - 2
Collect the terms in -509524*h**2 - 509530*h**2 + 1019087*h**2.
33*h**2
Collect the terms in -59 + 8324*r**2 + 59.
8324*r**2
Collect the terms in -4674*w + 4674*w + 24*w**2.
24*w**2
Collect the terms in 35*y + 19*y - 91*y + 14*y.
-23*y
Collect the terms in -1093*n**3 - 202*n**3 + 36*n**3.
-1259*n**3
Collect the terms in 0 - 11*o + 23*o - 116*o**3 - 3 + 18*o.
-116*o**3 + 30*o - 3
Collect the terms in -53*b + 11080 - 11080 - 44*b.
-97*b
Collect the terms in -l + 2*l - l - 3989*l**2 + 3974*l**2.
-15*l**2
Collect the terms in 27*a**2 + 35*a**2 - 6*a**3 - 94*a**2 + 32*a**2.
-6*a**3
Collect the terms in 527*c - 1 + 1082*c + 1125*c - 574*c.
2160*c - 1
Collect the terms in -347 + 114 + 116 + 8*c + 117.
8*c
Collect the terms in 35*m**3 - 131*m**3 - 183*m**3.
-279*m**3
Collect the terms in 290 + 10*l**2 - 872 + 288 + 294.
10*l**2
Collect the terms in -3787*d**3 - d**2 + d**2 + 7576*d**3 - 3788*d**3.
d**3
Collect the terms in 421*l - 341*l + 213*l.
293*l
Collect the terms in 3 + 886*j**2 - 5 - j + 22*j**2 + 2.
908*j**2 - j
Collect the terms in 235876*c - 471745*c + 235869*c - 4*c**2.
-4*c**2
Collect the terms in -90 + 90 - 5*t**3 + 8*t**3 + 2*t**3.
5*t**3
Collect the terms in -1994*a + 920*a - 5*a**3 + 1074*a.
-5*a**3
Collect the terms in 6*b + 6*b - 11*b + 9*b - 3*b.
7*b
Collect the terms in 175*i - 244*i + 61*i.
-8*i
Collect the terms in 5*f**3 - 4*f**3 + 29764618*f - 29764618*f.
f**3
Collect the terms in -94*t - 3 + 3 + 42*t.
-52*t
Collect the terms in 5*u**3 + 300*u**3 + 509*u**2 - 509*u**2.
305*u**3
Collect the terms in 238 - 1162*l + 1164*l + 118.
2*l + 356
Collect the terms in -622551*q**3 - q + 622557*q**3 - 5*q.
6*q**3 - 6*q
Collect the terms in 6568*p - 1 + 1.
6568*p
Collect the terms in 75 + 143 + 7555*g + 0*g**2 - 7555*g - g**2.
-g**2 + 218
Collect the terms in -12*d**2 - 2*d**2 + 3066 - 3066.
-14*d**2
Collect the terms i | {
"pile_set_name": "DM Mathematics"
} |
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