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0, 1
Suppose 34*b - 117*b = -38*b. Let -4/5 - 6/5*g + b*g**2 + 2/5*g**3 = 0. Calculate g.
-1, 2
Let b = -1033/18 + 584/9. Solve -5*i + 0 + 25/2*i**3 + b*i**2 = 0.
-1, 0, 2/5
Factor 0 + 2*f - 1/3*f**4 - 2*f**3 + 1/3*f**2.
-f*(f - 1)*(f + 1)*(f + 6)/3
Let b(c) = c**2 - 17*c + 10. Let v(n) = -2*n**2 + 52*n - 29. Suppose 4*t + 4 = 0, -3*k - 9 = -5*t + 7. Let j(i) = k*b(i) - 2*v(i). Suppose j(w) = 0. What is w?
1, 4
Let k(n) = 2*n - 8. Let p = 24 - 20. Let t be k(p). Determine j, given that t - 1/3*j**2 - 1/3*j = 0.
-1, 0
Let z(q) be the first derivative of -2*q**3/15 + 37*q**2/5 - 72*q/5 + 19. Find o, given that z(o) = 0.
1, 36
Let y(v) be the first derivative of 0*v - 7/4*v**3 - 45/16*v**4 - 26 - 27/20*v**5 - 3/8*v**2. Factor y(i).
-3*i*(i + 1)*(3*i + 1)**2/4
Let q(z) be the second derivative of -z**6/240 + z**5/80 + z**4/32 - z**3/12 - z**2/4 + 110*z + 2. Solve q(g) = 0 for g.
-1, 2
Let i(v) be the first derivative of -v**6/9 + v**5/3 + 13*v**4/6 + v**3/9 - 5*v**2 + 380. Let i(t) = 0. What is t?
-2, -3/2, 0, 1, 5
Let s(q) be the second derivative of -q**7/105 + 7*q**6/75 + 9*q**5/50 - 7*q**4/30 - 8*q**3/15 + 44*q. What is h in s(h) = 0?
-1, 0, 1, 8
Factor 15/4 - 1/4*m**3 + 1/4*m**2 + 17/4*m.
-(m - 5)*(m + 1)*(m + 3)/4
Determine l so that 6*l**2 + 61*l - 5*l**5 - 95*l**3 + 99*l**2 - 42*l - 105*l**4 + 81*l = 0.
-20, -1, 0, 1
Let p(t) be the second derivative of -2*t**7/7 + 23*t**6/10 + 57*t**5/10 - 4*t**4 - 17*t**3 - 21*t**2/2 - 12*t - 1. Let p(n) = 0. What is n?
-1, -1/4, 1, 7
Let h be -6*15/20*8/(-2). Suppose h*l = 19*l. Factor 3/2*b**5 + 0*b**4 + 0*b**2 + 0 - 3/2*b**3 + l*b.
3*b**3*(b - 1)*(b + 1)/2
Factor 0*n + 0 + 3*n**3 - 3/2*n**4 + 12*n**2.
-3*n**2*(n - 4)*(n + 2)/2
Let t(i) be the second derivative of i**6/135 - 14*i**5/45 + 65*i**4/18 + 28*i**3/27 - 196*i**2/9 - 536*i. Let t(d) = 0. Calculate d.
-1, 1, 14
Factor -10/3*p**2 + 8*p - 24/5.
-2*(5*p - 6)**2/15
Let m(x) = -15*x + 72. Let c be m(5). Let j be -3*(c + (2 - 0)). Factor -3 - 3/2*f**5 + j*f**3 + 21/2*f + 3*f**4 - 12*f**2.
-3*(f - 1)**4*(f + 2)/2
Let h(m) be the third derivative of -m**7/630 - 7*m**6/360 + m**5/180 + 7*m**4/72 + 145*m**2. Factor h(a).
-a*(a - 1)*(a + 1)*(a + 7)/3
Let i = 24 + 2. Let l = i - 17. What is z in 20*z**2 - 7*z**2 - l*z**2 = 0?
0
Let o(s) be the third derivative of -s**8/2016 + s**7/1260 + s**6/240 - s**5/72 + s**4/72 + 44*s**2. Factor o(n).
-n*(n - 1)**3*(n + 2)/6
Let l(c) = -3*c - 13*c + 9*c**2 - c**2 + 5 - c**3. Let v be l(5). Factor -7/6*r**5 + v + 0*r - 1/3*r**2 - 8/3*r**4 - 11/6*r**3.
-r**2*(r + 1)**2*(7*r + 2)/6
Let y(r) be the second derivative of 0 - 7*r - 24*r**2 + 4*r**3 - 1/4*r**4. Factor y(f).
-3*(f - 4)**2
Let s(m) be the first derivative of 5*m**3 + 60*m - 5/4*m**4 + 29 + 40*m**2. Find c, given that s(c) = 0.
-2, -1, 6
Let j(q) be the second derivative of -2*q**7/21 - 28*q**6/5 - 587*q**5/5 - 2702*q**4/3 + 392*q**3 + 5488*q**2 - 3*q. Factor j(l).
-4*(l - 1)*(l + 1)*(l + 14)**3
Let n(x) be the third derivative of x**9/166320 + x**8/110880 - x**7/5544 + x**6/1980 - x**5/4 + 8*x**2. Let v(d) be the third derivative of n(d). Factor v(w).
2*(w - 1)*(w + 2)*(2*w - 1)/11
Suppose -o + l + 9 = 0, -3*o - 5*l - 23 = -10. Solve -3*y**4 - 5*y**2 - 4 - 5*y**o + 8*y**3 + 13*y**2 - 4*y**5 + 4*y**4 - 4*y = 0 for y.
-1, 1
Let m = 38 + -35. Factor 8*r - 4*r**2 + 3 + m + 6*r**2.
2*(r + 1)*(r + 3)
Let n = 19 - 4. Suppose 5*g**4 + n*g + 3*g**3 - 10 + 2*g**3 + 5*g**2 - 6*g**3 - 14*g**3 = 0. What is g?
-1, 1, 2
Suppose 68*y - 70*y = -5*x + 2, 5*y = -3*x + 26. Factor c + 1/6*c**x + 5/6.
(c + 1)*(c + 5)/6
Let n(f) be the second derivative of 5*f**4/33 - 13*f**3/33 + 3*f**2/11 + 3*f - 1. Suppose n(v) = 0. What is v?
3/10, 1
Suppose -2*t = 9*t - 22. Factor -j**2 + t*j**2 + 43*j - 46*j.
j*(j - 3)
Let y(s) be the first derivative of -s**6/24 - 17*s**5/20 - 57*s**4/8 - 94*s**3/3 - 76*s**2 - 96*s + 430. Find f such that y(f) = 0.
-4, -3, -2
Let f be 12*1/48 + -4 + (-255)/(-36). Solve -f*y - 2/3*y**3 + 4/3 + 8/3*y**2 = 0.
1, 2
Let k be 1*-3*(0 - -5). Let f be 5/(k/9)*-1. Solve -5 + 2*a**3 - a**5 + 3 - f*a - 3*a**3 + 2*a**2 + 5*a**3 = 0.
-1, 1, 2
Let n(h) be the second derivative of 1/7*h**3 + 1/70*h**5 + 0 + 18*h + 0*h**2 + 2/21*h**4. Solve n(k) = 0 for k.
-3, -1, 0
Suppose 60*k - 61*k - 6 = -l, 3*k = -3*l. Let h(u) be the first derivative of 16/15*u**6 + 4/3*u**l - 13 + 33/10*u**4 + 1/5*u**2 + 0*u + 16/5*u**5. Factor h(t).
2*t*(t + 1)**2*(4*t + 1)**2/5
Factor 12/7*i + 6/7*i**3 + 4/7 + 1/7*i**4 + 13/7*i**2.
(i + 1)**2*(i + 2)**2/7
Let z(y) = 3*y**2 - 3*y + 13. Let b(f) = 2*f**2 - 2*f + 7. Let i(j) = 5*b(j) - 3*z(j). Let o be i(-2). Factor 15*s - 9*s**3 - 3*s**4 - 24*s + 9*s - 6*s**o.
-3*s**2*(s + 1)*(s + 2)
Let q(r) be the second derivative of r**4/12 + 17*r**3/6 + 8*r**2 + 143*r. Suppose q(c) = 0. What is c?
-16, -1
Let s be (-14)/6*(-2 - 1). Suppose 5*h - 2*t = -s*t + 30, -h + 4*t = -1. What is m in 7*m**5 - 15*m**2 + 3*m - 21*m**4 + 16*m**3 - m**h + 11*m**3 = 0?
0, 1/2, 1
Let w(l) = -l - 5. Let k be (-3 - -4)*-2 - 5. Let h be w(k). Factor 0 + 0*b + 4/13*b**3 + 2/13*b**h + 2/13*b**4.
2*b**2*(b + 1)**2/13
Let g(s) be the third derivative of -s**5/20 + 41*s**4/8 - 1681*s**3/8 - 4*s**2 - 26*s. Factor g(p).
-3*(2*p - 41)**2/4
Determine s, given that 18*s**4 - 24*s**3 + 4*s**4 - 7*s**4 + 12*s - 22*s**2 - 5*s**4 = 0.
-1, 0, 2/5, 3
Suppose -2*g - 2 = 4*p, -10*g + 7*g - 3 = -2*p. Let l be 0 + 2 - (-5)/(-3). Let -l*b**5 - b**3 + b**4 + 1/3*b**2 + p*b + 0 = 0. Calculate b.
0, 1
Let t(k) = -k**3 + 6*k**2 + k. Let p be 5/(4 + (-3)/2). Let r(x) = 6*x**2 + 2*x. Let o(q) = p*t(q) - 3*r(q). Factor o(f).
-2*f*(f + 1)*(f + 2)
Let o = -5520 - -5523. Factor -2/5 + 0*d**2 - 9/5*d**o + 7/5*d.
-(d + 1)*(3*d - 2)*(3*d - 1)/5
Let s = 27693/8 - 3446. Let u(j) be the second derivative of -5/16*j**4 - s*j**2 + 3*j - 1/80*j**5 + 0 - 25/8*j**3. Factor u(h).
-(h + 5)**3/4
Let h(j) be the second derivative of -3*j**5/70 - 5*j**4/42 + 4*j**3/21 + 4*j**2/7 + j - 3. Suppose h(g) = 0. What is g?
-2, -2/3, 1
Factor -138*g**2 - 1/5*g**3 - 31740*g - 2433400.
-(g + 230)**3/5
Let m(r) be the first derivative of -r**6/405 - 37*r**5/540 - r**4/12 + 17*r**3/3 + 38. Let w(s) be the third derivative of m(s). Factor w(j).
-2*(j + 9)*(4*j + 1)/9
Let f = -2/101169 + 730721/2832732. Let a = f - 1/28. Factor 0 - 2/3*u**2 + 0*u**3 + a*u**4 + 4/9*u.
2*u*(u - 1)**2*(u + 2)/9
Suppose 3*v - 15*v + 24 = 0. Factor -7*z**3 + 40*z**2 + v*z**3 - 15*z**4 - 19*z - z.
-5*z*(z - 1)*(z + 2)*(3*z - 2)
Suppose 0 = 5*f - 95 + 85. Factor 5*j**2 + 4 - 3*j**2 - 12 - f*j - 4.
2*(j - 3)*(j + 2)
Let f(r) be the second derivative of r**5/2 + 52*r**4 - 191*r**3/3 - 126*r**2 - 2*r - 182. Find c, given that f(c) = 0.
-63, -2/5, 1
Let b(n) = n**3 - n - 1. Suppose 6*o = 3*o + 18. Let c(k) = 4*k**3 - 2*k**2 - 3*k - 3. Let a(j) = o*b(j) - 2*c(j). Determine f, given that a(f) = 0.
0, 2
Let n(m) be the third derivative of m**8/672 - 29*m**7/420 + m**6/3 + 491*m**5/30 + 66*m**4 - 432*m**3 - 588*m**2. Find q such that n(q) = 0.
-4, 1, 18
Let p be (-5 - (-2 + -2))/((-2)/44). Suppose -p*s - 8 = -26*s. Factor 0 + 4/5*i - 6/5*i**s + 2/5*i**3.
2*i*(i - 2)*(i - 1)/5
Let u be (-3 + 2)*(-10 + 5) + -3. Let y be -2 - 1/((-3)/15). Suppose 36/5*x**y + 3/5*x**5 + 24/5*x**u + 0*x + 18/5*x**4 + 0 = 0. Calculate x.
-2, 0
Let r(z) = 136*z**3 - 524*z**2 - 172*z + 128. Let g(l) = -l**3 - l - 2. Let s(a) = -24*g(a) - r(a). Factor s(c).
-4*(c - 5)*(4*c - 1)*(7*c + 4)
Let d be -4 - (1 - -1 - 2). Let f be (-18)/(-10) - 3/(-1 - d). Factor -f*y**2 + 2/5 + 2/5*y**4 - 2/5*y**5 + 4/5*y**3 - 2/5*y.
-2*(y - 1)**3*(y + 1)**2/5
Let z(c) be the second derivative of -c**7/7560 - c**6/810 - c**5/270 + 5*c**3/6 + 26*c. Let l(f) be the second derivative of z(f). Factor l(a).
-a*(a + 2)**2/9
Let m(h) be the first derivative of -h**3/21 - 9*h**2/7 - 17*h/7 + 247. Factor m(d).
-(d + 1)*(d + 17)/7
Let s be (-86)/(-3)*1/(-2). Let b = s - -15. Factor b + 0*i**2 + 1/3*i**3 - i.
(i - 1)**2*(i + 2)/3
Let c be (-2)/80*-2*((25 - 5) + -8). Factor 0 - c*w**2 - 9/5*w.
-3*w*(w + 3)/5
Let o(v) = 5*v - 2*v + 44 - 17 - 23. Let g be o(5). Solve 6*u**3 + 13*u**2 - 25*u**2 - 12*u - 3 + g*u**4 - 4*u**4 + 6*u**5 = 0 for u.
-1, -1/2, 1
Let f be (-16)/(-56) + (-428)/1547. Let y = 878/663 + f. Factor y*d**4 + 0 - | {
"pile_set_name": "DM Mathematics"
} |
37, -4*q - 465 = 13*m - 14*m. List the prime factors of m.
3, 53
Let v = -1695 + 4378. What are the prime factors of v?
2683
What are the prime factors of (-4 + 1256)*(6/(-4) - -2)?
2, 313
Let o(b) = -b**2 + 17*b + 66. Suppose 8*l - 126 = 10. What are the prime factors of o(l)?
2, 3, 11
Let o(p) = p**2 - 12*p - 14. Let r(b) = 2*b**2 - 24*b - 27. Let u(z) = -5*o(z) + 2*r(z). Let m be 3/6 + 231/22. List the prime factors of u(m).
3
Let g = -68 + 73. List the prime factors of (-13)/g + 3 + (-1456)/(-10).
2, 73
Suppose -4*w + 4*j + 42 = -26, -2*j - 10 = 0. Suppose 22 = c - w. Suppose -x - c = -3*x. What are the prime factors of x?
17
Let t(n) = -14*n - 9. Let w be t(-2). Suppose j = w + 20. List the prime factors of j.
3, 13
Suppose -2545 = -3*j - 5*s, -4*s + 3055 = 5*j - 1178. What are the prime factors of j?
5, 13
Suppose 21*p = 26*p - 300. What are the prime factors of p?
2, 3, 5
Suppose 2*q - 1117 = -5*h + 697, 5*q - 5*h - 4465 = 0. List the prime factors of q.
3, 13, 23
Suppose 0*k + 4*k - 28 = 0. Suppose l - 17 - k = 0. Let f = -4 + l. What are the prime factors of f?
2, 5
Suppose -1 = -b - 4. Let l(u) = 19*u - 34*u - 1 + 3*u. What are the prime factors of l(b)?
5, 7
Let s be 2/6 + (-1722)/(-18). Let t(m) = 6*m**3 - 2*m**2 - 2*m + 4. Let b be t(-2). Let p = b + s. What are the prime factors of p?
2, 3
Let m(j) = j**2 + 7*j. Let z be m(-7). Let x = -16 - -40. Suppose z*s = 4*s - x. List the prime factors of s.
2, 3
Suppose -3*d = 2*d - 5*l + 405, -2*d - 163 = -3*l. List the prime factors of ((-20)/d)/((-1)/(-148)).
37
Suppose -29*l + 248 = -25*l. List the prime factors of l.
2, 31
Let w = 21 - 4. Let k = w - 13. List the prime factors of k.
2
Suppose 8*g - 4*g = 84. Let n be (-2)/(-6) - 7/g. Suppose n = -3*s + 4*v + 36, -3*v - 60 = -4*s - s. What are the prime factors of s?
2, 3
Suppose 14 = 2*z - 3*v, -4*v - 5 = -13. Let u be (24/15)/(2/z). Suppose a + 30 = 5*f, 2*f + a = 4 + u. List the prime factors of f.
2, 3
Suppose -3*i - 1 = -2*c, 2*c - 2*i - 6 + 4 = 0. Suppose -335 = -c*d + 3*k, 2*d - 18 - 313 = -k. List the prime factors of d.
2, 83
Suppose 0 = -5*h + 4*w + 4178, -2*h + 5*w + 356 = -1305. List the prime factors of h.
2, 419
What are the prime factors of 2/2*(324 + -28)?
2, 37
Let z(r) = -r**3 + 6*r**2 + 7*r - 7. Let k be z(5). Let i be ((-8)/(-10))/((-1)/35). Let w = i + k. List the prime factors of w.
5
Let n(k) = k**3 - 3*k**2 - 2*k - 4. Let q be 3 + 3 - (0 + 2). Let f be n(q). Suppose -f*a + 3*m + 130 = 20, 4*a - 124 = -4*m. What are the prime factors of a?
29
Let w = 27 - 27. Suppose 6*i - 3 - 21 = w. What are the prime factors of i?
2
Suppose t + 4*t - 4967 = -3*y, -y = t - 995. Suppose -4*z - z + g = -t, -201 = -z + 3*g. List the prime factors of z.
2, 3, 11
Let q = -19 - -22. Suppose q*a - 1 = 2. What are the prime factors of (-3)/9*(a + -85)?
2, 7
Suppose 0 = -5*h - 3 - 2. Let t(n) = 6*n**2 - 1. Let g be t(h). Suppose -g*i + 4*x = -4*i - 30, -38 = -3*i - x. List the prime factors of i.
2, 7
Suppose 42 = 5*m - 8*m. List the prime factors of -13 - m - 9*-8.
73
Let q be 6/4 + 526/(-4). Let p be -3 - 1/1 - 73. Let i = p - q. What are the prime factors of i?
53
Suppose 14*h - 546 - 392 = 0. List the prime factors of h.
67
Let z(t) = 103*t - 127. List the prime factors of z(6).
491
Suppose 2065 = -19*s + 13712. List the prime factors of s.
613
Suppose 22*u = -6*u + 13132. What are the prime factors of u?
7, 67
Let l(m) = -2*m - 12. Let k(u) = -1. Let z(v) = -20*k(v) + 2*l(v). Let a be z(-6). Suppose 2*h + 4*x + a = 5*h, -3*h + 5*x = -19. List the prime factors of h.
2
Let g(n) = 4*n**2 + 6*n - 36. What are the prime factors of g(6)?
2, 3
Let n = -253 - -592. What are the prime factors of n?
3, 113
Let l(d) = -7*d + 3. Let j(c) = c**3 - 5*c**2 - 9*c + 9. Let t be j(6). Let b be 39/t - (-2)/6. What are the prime factors of l(b)?
31
Suppose 0 = 3*y - v - 11, -3*y + 8*y = 4*v + 30. Suppose 0 = b + y*b - 5*q - 253, 3*b = 4*q + 251. List the prime factors of (b/(-6))/9*-38.
3, 19
Suppose -2*z - 9 = 4*v - 5, 4*z = -16. List the prime factors of v/(5/((-145)/(-88)) - 3).
29
Suppose 2030 = -c + 11*c. List the prime factors of c.
7, 29
Let g(v) = 5*v**2 + 2*v + 1. Let q be g(-1). Let s be (-2)/4*(-16)/2. Suppose 0 = q*a + s - 48. What are the prime factors of a?
11
Let o be (-11 + 6)/(1/2). Let g(c) be the first derivative of -c**2/2 + 2. List the prime factors of g(o).
2, 5
Let a be (2/5)/(7/315). Let y be (-71)/(2/a*-3). Suppose 2*u + n = 5*u - 151, 4*u + n - y = 0. What are the prime factors of u?
2, 13
Let s = -3 + 3. Let v(r) = 2*r - 30. Let b be v(s). List the prime factors of (7 + 0)*b/(-42).
5
Suppose -5*l = -8*l - 66. Let m = 48 - l. What are the prime factors of m?
2, 5, 7
Let p = 263 + -151. Suppose 0 = -4*y + 496 - p. What are the prime factors of y?
2, 3
Let q = -12 + 14. Let v(o) = -o**3 + 4*o**2 - 2*o - 2. Let c be v(q). List the prime factors of (-2)/(-2 - c)*10.
5
Let f = -3566 + 5850. List the prime factors of f.
2, 571
Let b = -564 + 1102. What are the prime factors of b?
2, 269
Let a = 75 - 75. Suppose -2*g = 4*c - 202, a = 4*g - 21 + 9. List the prime factors of c.
7
Suppose -3*f - 1020 = 7*f. What are the prime factors of -4 + f*(-6)/9?
2
Let w(m) = 2*m + 18. Let a be w(-11). List the prime factors of a/(-10) + (-1586)/(-10).
3, 53
Suppose -2*b = -4*n - 34, 2*n + 3*b - 4 + 1 = 0. Let o(v) = 63*v**2 + v + 1. Let r be o(-1). What are the prime factors of 6/12 - r/n?
11
Let z(c) = 31*c**2 + 3*c - 28. What are the prime factors of z(4)?
2, 3, 5
Let n(x) = -x**2 - 7*x + 2. Suppose -2*k + 21 = -5*k. Let u be n(k). Let f = 26 - u. List the prime factors of f.
2, 3
Suppose 60*j - 27894 = 82566. What are the prime factors of j?
7, 263
List the prime factors of (571 + 2)*80/24.
2, 5, 191
Let l = 46 + -42. Suppose -l*z + 100 = 6*z. List the prime factors of z.
2, 5
Let l be (-304)/(-4) + 1 + -2. Suppose 2*o + 80 = 5*u, o - 4*o - l = -5*u. Suppose 5*d = u + 2. What are the prime factors of d?
2
Let t = -5 - -13. Let m(x) = -4*x - t*x - 8 + 5*x + 1. What are the prime factors of m(-7)?
2, 3, 7
Let q(r) = -2*r - 23. Let w be q(-13). Suppose -w*z + 81 = -0*z. What are the prime factors of z?
3
List the prime factors of 24/12 + 956/2.
2, 3, 5
Let p(l) be the third derivative of l**5/60 + 11*l**4/24 - 11*l**3/2 + 35*l**2. List the prime factors of p(-15).
3
Suppose -z - 3*y + 44 = 0, -5*z - 3*y - y = -176. Let p = 21 + z. What are the prime factors of p?
53
Let a be (-4 - (-685)/10)*-2. Let c = 201 + a. What are the prime factors of c?
2, 3
Let t(y) = -26*y - 1. Let i be t(-1). Let v = 105 + -57. Let f = v - i. List the prime factors of f.
23
Let u be -2*((0 - 1) + 2). Let s = u + 6. Suppose 4*b = s + 8. List the prime factors of b.
3
Suppose 4*w = d + 561, -3*d = 2*w - 80 - 183. Let y = w + -253. What are the prime factors of (-12)/30 + y/(-10)?
11
Let w(r) = r**3 - 9*r**2 + 20*r. Let c be w(8). Suppose 0 = 2*v + 4*l - 82 + 30, 3*l + c = 3*v. What are the prime factors of v?
2, 3, 5
Let s(c) = -c**2 + 4*c + 5. Let u be s(4). Let f be -2*52/12*306/(-12). Suppose 3*t + t - u*j = f, -t + 59 = -2*j. List the prime factors of t.
7
Let m(o) = -6*o - 186. Let n be m(-32). Let k be 8/(-3)*9/(-6). Suppose k*a - n*a = -56. What are the prime factors of a?
2, 7
Let j be 60/3*3*(-1)/(-12). Suppose -k + 3*k - 4*t = 138, j*k + 2*t - 405 = 0. List the prime factors of k.
79
Suppose -15*o + 4452 = -o. List the prime factors of o.
2, 3, 53
Let o be ((-4)/(-8) + 0)*4. Suppose -o = -3*g + 13. Suppose -5*p + 0*y = 2*y - 131, -g*y + 15 = 0. What are the prime factors of p?
5
Suppose -2*t + 28 = 18. Suppose -2*g + 158 = 4*m, -3*m + 61 = -m - t*g. What are the prime factors of m?
2, 19
Let m(r) = 8*r**3 - 3*r**2 + 24*r - 166. List the prime factors of m(7).
23, 113
Suppose 37*w - 21*w - 13632 = 0. What are the prime factors of w?
2, 3, 71
Suppose -3 = -g + 4*a - 19, 3*a = 12. Suppose 2*f + l = -2*f + 329, g = -2*f + 4*l + 178. What are the prime factors of f?
83
Let f be 10 - (-3 - 1) - 0. Suppose 0 = -4*h + 10 + f. Suppose 0 = -h*k + 2*k + 44. List the prime factors of k.
11
Let a(u) = u + 6. Let j be a(-6). Suppose 2*w = -3*r + 111, -2*r + 0*r = -4*w - 90. Suppose j*y = 3*y - r. List the prime factors of y.
13
Let w(z) = -z**2 + 8*z + 9. Let k be w(9) | {
"pile_set_name": "DM Mathematics"
} |
5 (c) -5 (d) -10 (e) 3 (f) 2/47 (g) 0
g
What is the sixth smallest value in 20/19, -5, 0.3, 0, 455, 1/4?
455
What is the sixth biggest value in -144, 2/7, 11, -2/15, -458/3, -2/13?
-458/3
Which is the smallest value? (a) -0.2 (b) -117410 (c) 35
b
What is the fifth biggest value in 0.05949, 1, -2/7, -1, -3, 6?
-1
Which is the sixth smallest value? (a) 3 (b) -1 (c) -0.03 (d) 3/2 (e) -2/3 (f) -412 (g) 7
a
Which is the sixth biggest value? (a) 5 (b) 624 (c) 1/263 (d) -0.1 (e) 2 (f) 2/7 (g) 1
c
What is the third smallest value in -2215, 54, -2?
54
What is the sixth biggest value in -2, 4, 2/5, -4, 4.265, 0.3626, 2/7?
-2
Which is the fourth smallest value? (a) 18/11 (b) -99 (c) -3/16 (d) -18 (e) -0.05
e
What is the biggest value in 376042, -31, 0?
376042
Which is the second smallest value? (a) 1.5 (b) -111 (c) -0.3 (d) 1667 (e) -4/3 (f) -2
f
Which is the second biggest value? (a) 2/3 (b) -4608/13 (c) -336
c
What is the second smallest value in -4, -1104091, 2/27?
-4
What is the fourth smallest value in -0.03, -0.2, 5, -1/2, -1/3, -20, -1/835?
-0.2
What is the smallest value in 0, -1140, 2.319, 19, -1/4?
-1140
What is the smallest value in 4, 0, -1/2, 124/71?
-1/2
What is the third smallest value in -24513, -2/13, 10900?
10900
Which is the second biggest value? (a) -22513 (b) 670 (c) 1
c
Which is the second smallest value? (a) 13 (b) 0.08 (c) 4 (d) 0 (e) -15/2
d
What is the second biggest value in 4, 0.5, -0.2, -476, 6?
4
What is the second smallest value in 5, -10, -30, 0.04, 0.1?
-10
What is the smallest value in -3/4, 80, 5, -0.07, 9889/3?
-3/4
What is the fourth biggest value in 2, 0.3, 0, 4/17949, 1?
4/17949
Which is the fourth biggest value? (a) -2/15 (b) 4/3 (c) -670986 (d) -3
c
What is the fourth biggest value in -169, -0.4, -0.1, 0.5, -1, -1018, 0?
-0.4
What is the fourth biggest value in -0.041, -64171, 4/3, 1/3, -3/2, -4?
-3/2
Which is the second smallest value? (a) 42 (b) -2/13 (c) 7 (d) -2314 (e) -8.4
e
What is the fourth biggest value in 5, -3, -1, 0.3, -0.5, -189, 185?
-0.5
What is the fourth smallest value in -0.4, -0.56, 1/3, -407/4, -3?
-0.4
Which is the fifth biggest value? (a) -13/77 (b) -9 (c) 2/5 (d) -14 (e) 29 (f) -2/7
b
Which is the third smallest value? (a) -41 (b) 33541 (c) 6
b
Which is the smallest value? (a) -766210 (b) -79 (c) 0.2
a
What is the smallest value in -2, -0.3, -8676, 1?
-8676
What is the second biggest value in -2, 3/4, -956.46, 2/9?
2/9
Which is the second biggest value? (a) -103985 (b) -5 (c) -2/281
b
What is the second smallest value in 1/4, 0.098, 0.3, -5, -0.25, -0.33?
-0.33
Which is the fifth smallest value? (a) 29/7 (b) 78/7 (c) 4 (d) -2 (e) -1 (f) -5
a
Which is the sixth smallest value? (a) -4 (b) -1/188 (c) 1 (d) 4 (e) -4.78 (f) 0.19
d
Which is the second smallest value? (a) 5 (b) -2/13 (c) -1 (d) 1067982
b
What is the second biggest value in 0, 0.1, -2/17, 3334645, -1?
0.1
Which is the third biggest value? (a) -1375 (b) -3/2 (c) -0.2265
a
Which is the second smallest value? (a) -0.1 (b) -3 (c) -5 (d) 1076/21 (e) 2430
b
Which is the biggest value? (a) 1350/13 (b) 2 (c) 0.057 (d) 0.4 (e) 0.06
a
What is the fourth biggest value in 0.08, -1/30, -0.11, 2/9, 3/4, 1/5, 177?
1/5
What is the second smallest value in -9983, -0.09, -0.0648?
-0.09
What is the sixth biggest value in -0.1, 1/5, -5, 89, 2/75, 0.6, -0.3?
-0.3
Which is the third smallest value? (a) 2/21 (b) 2/9 (c) 32/1267
b
Which is the second biggest value? (a) -0.5 (b) 0.3 (c) -0.2 (d) -39/5 (e) -5 (f) 5 (g) -2/107
b
Which is the fourth smallest value? (a) 0.4 (b) 53 (c) -3 (d) -0.28 (e) -8/71 (f) -4/9 (g) 5
e
Which is the smallest value? (a) 8 (b) 263/41 (c) -5
c
Which is the second smallest value? (a) 1 (b) 4/3 (c) 1/6 (d) 0.7 (e) -5 (f) -2394 (g) 0.14
e
What is the fourth biggest value in -3, -4, 8, -2, -449?
-4
Which is the second smallest value? (a) 18/173 (b) -5 (c) -1/3 (d) 4/11
c
Which is the fifth biggest value? (a) -1 (b) -1314 (c) -2/9 (d) 0.079 (e) -4/3
b
Which is the smallest value? (a) -4 (b) 2/5 (c) 2 (d) 0.00243
a
Which is the smallest value? (a) 0.1 (b) 1 (c) 0.131 (d) 8 (e) 2/13 (f) 1/5 (g) -98
g
What is the third biggest value in 2/9, -0.53125, 0, 2, -5?
0
What is the second biggest value in 44, -1, -547259, -2/3?
-2/3
Which is the biggest value? (a) -146 (b) -1/5 (c) 72 (d) 564
d
What is the third smallest value in 2/9, -3534825, 2, 131?
2
Which is the second biggest value? (a) -12.41 (b) 137 (c) 3 (d) 0.4 (e) -0.3
c
Which is the biggest value? (a) 18.6 (b) 15 (c) 786
c
What is the fourth smallest value in -5, -1, -2/161, -68.697?
-2/161
Which is the second smallest value? (a) -1 (b) -23 (c) -4069 (d) 0.3
b
Which is the fourth smallest value? (a) 2 (b) -508 (c) 0.5 (d) 0.6 (e) 33 (f) -4
d
What is the second biggest value in 13, -7/37, -0.00847?
-0.00847
What is the third smallest value in 44, -3/13, -0.3, 2/9, -1/4, -0.5, -0.02?
-1/4
Which is the sixth biggest value? (a) 14 (b) 136 (c) 0.1 (d) 4622 (e) 0 (f) -0.5
f
Which is the second biggest value? (a) 16 (b) 11 (c) -0.03739
b
Which is the second biggest value? (a) 0 (b) 20/7 (c) 5 (d) 2/3153
b
What is the second smallest value in 18/499, 2, -7, 0.2?
18/499
Which is the second smallest value? (a) -1 (b) 1 (c) 8/19 (d) 43 (e) -0.045
e
What is the third smallest value in 1/6, -5, 0, -0.0563, 0.3, 5/2?
0
Which is the second biggest value? (a) -0.2 (b) -2/15 (c) 0.5 (d) 24 (e) -2/3 (f) -11 (g) 2
g
What is the second biggest value in -3/4, -5, -23565, -8?
-5
Which is the seventh smallest value? (a) 5 (b) 3 (c) 1/2 (d) -3 (e) 0.4 (f) -2.9 (g) 0.04
a
What is the third biggest value in 3, -1/11, -3056, 0.02, 12, 1/22?
1/22
What is the second smallest value in -4, -2/13, 112.7785, -3, 1/12?
-3
Which is the third biggest value? (a) 0 (b) -3148796 (c) -29
b
What is the fifth biggest value in -3, -0.3, -38/11, 2/31, -20, 5, 0.2?
-3
What is the sixth biggest value in -2, 1.16, 3, -4, -1/3, -0.233?
-4
What is the sixth biggest value in 5, 16, 64, -2/9, 8, -1.7?
-1.7
What is the fourth biggest value in 3, -59, 5, -144659?
-144659
Which is the third biggest value? (a) 0.5 (b) 4 (c) -10.3 (d) -9493
c
What is the third smallest value in 0.4, -1, 4, -0.164, -648?
-0.164
What is the biggest value in -21, 0.5, 7887.03?
7887.03
What is the second biggest value in -1/3, -0.1, 1/8, -1382, -2/15?
-0.1
Which is the third smallest value? (a) -101.38 (b) -3 (c) 2988
c
Which is the second smallest value? (a) -10.7 (b) 0.2 (c) 108 (d) 0.02 (e) -3/43
e
Which is the third biggest value? (a) 0.3 (b) 4 (c) -1/4 (d) 2/1379 (e) -11972
d
What is the smallest value in -3, -0.03, 4426, 2/5, 80?
-3
Which is the third smallest value? (a) 5 (b) -1082 (c) 0.3 (d) 0.0725489
c
What is the sixth smallest value in 9, -2/3, -196667, 1, -2, -5?
9
Which is the third biggest value? (a) -1 (b) 0.2 (c) 13/8 (d) -30.45 (e) -3/7 (f) 2 (g) 1/2
g
What is the third smallest value in -2, -2/3, 9/8, -2163, -5?
-2
Which is the second smallest value? (a) -2 (b) 0.915697 (c) 1
b
What is the fourth biggest value in -1.7, -0.6, -3/14, -2/3, -0.3, -0.087?
-0.6
What is the fourth smallest value in -125, -0.0135, -1, -61, 1?
-0.0135
Which is the sixth smallest value? (a) 3 (b) -6 (c) -4/3 (d) -1/5 (e) -529 (f) -7 (g) -3/2
d
Which is the third biggest value? (a) 112 (b) -9 (c) 0.17749
b
Which is the third smallest value? (a) 2/13 (b) 5/3 (c) 3/8 (d) 3/2 (e) -2 (f) 2/23 (g) 1/8
g
What is the fourth biggest value in 3/35, 0.5, -17, -1/5?
-17
Which is the fifth biggest value? (a) -0.2 (b) -20/237 (c) 15/4 (d) 3 (e) -5
e
Which is the fourth smallest value? (a) -0.0743 (b) -3/7 (c) -3 (d) 1 (e) -1/2 (f) 21/2 (g) -0.4
g
Which is the fourth smallest value? (a) 9 (b) -1.7 (c) -3 (d) -4/5 (e) 0.4 (f) 0.2 (g) 11
f
What is the second smallest value in -465, 0.3, -2/63, -18/5?
-18/5
Which is the third biggest value? (a) -0.05 (b) 2 (c) -2058 (d) -0.2
d
Which is the second biggest value? (a) -1345/4 (b) -4 (c) -7 (d) -1/5 (e) -0.0783
d
What is the fifth biggest value in -34, 2, 5, | {
"pile_set_name": "DM Mathematics"
} |
+ 30*p - 61. Let f be x(19). Suppose 0 = 2*g + 4*o - 5630 - f, 3*g - 4*o - 25985 = 0. Is g prime?
True
Let n = -16 + 17. Let i be -482*10/(-4) + n. Suppose -7*a = 359 - i. Is a prime?
False
Suppose -4*f - 2259 = -q + 15, -2*q + f = -4527. Let z = 4076 - q. Is z prime?
False
Suppose 4*p - 4*h + 8936 = 2*p, -2*h - 8912 = 2*p. Let k = p + 8449. Is k composite?
False
Let p(r) = 3*r - 45. Let s(q) = -q + 15. Let k(z) = 4*p(z) + 11*s(z). Let h be k(3). Is 54 - 1 - (12 + h) a composite number?
False
Suppose -5*x - 3*j = -0*j - 868, 350 = 2*x + 4*j. Suppose -124 = -4*h - 2*q, 5*h = q + x - 4. Suppose 32*u + 977 = h*u. Is u prime?
True
Let v = 81 + -76. Suppose -5*m = 4*u - 128251 - 9800, -5*m = v*u - 138050. Is m a composite number?
False
Suppose 4*c - 8 = 0, -5*b + 2767037 = 5*c - 1393468. Is b composite?
True
Let d be (6/5)/(3/(-30)*-4). Suppose d*b + 3*o - 26060 - 1618 = 0, -b + 9224 = 3*o. Is b composite?
False
Let h be (-6 + -1)*1 - -2. Let i(w) = 32*w**3 + 7*w**2 - w - 16. Let x be i(h). Is x/(-6)*(4 - 25/10) a prime number?
False
Let h = -262 + 286. Suppose -h*a - 3503 = -25*a. Is a a composite number?
True
Let i = 2302 - 2309. Let o(t) = -74*t - 33*t - 20 + 4*t. Is o(i) prime?
True
Let s = -59159 + 111933. Is s composite?
True
Let j(w) = w**3 + 11*w**2 + 11*w + 22. Let d be j(-10). Suppose -d*o - 2186 = -13*o. Let n = o + -1137. Is n composite?
False
Let a(r) = r - 19. Let m be a(11). Let x = m - -10. Suppose 0 = -3*g - 3*q - x*q + 1214, -5*q = 4*g - 1627. Is g composite?
True
Let g(i) = -186*i - 739. Let k be g(-4). Let v be 1459 - -1*(-1 - -1). Suppose k*x - 651 = v. Is x a composite number?
True
Let r = 9429 + 27004. Is r composite?
False
Let o(y) be the first derivative of 441*y**2/2 - 2*y - 73. Is o(7) prime?
False
Let o = -300 - -305. Suppose -3*z = -o*b + 70618, -4*b - b + 70611 = 4*z. Is b prime?
False
Suppose -95*k = -90*k - 150. Let v be ((-224)/(-140))/(4/k). Suppose -5*q = v*q - 112693. Is q a prime number?
False
Let b = -12114 - -12495. Let q = 34 + 212. Suppose g + q = -a + 615, 5*a + b = g. Is g composite?
True
Suppose 173*l - 2409312 = 125*l. Is l a composite number?
True
Is (138047 - -6) + 0/(14 + -6) composite?
False
Let w be (4/8 - (-2 - 0))*2. Is 341 + (1 - (6 - w)) composite?
True
Suppose 186 = b - 5*m, m - 659 = -5*b + 167. Let k(w) = -4*w**2 - 6*w - 19. Let a be k(-5). Let g = a + b. Is g prime?
False
Let z be (-2)/5 - (-137)/5. Let t(g) = 2673*g - 129 + z*g + 128. Is t(1) a prime number?
True
Let m(h) = 310*h - 12. Let o be 3/(-2)*(-136)/51. Let x be m(o). Suppose -15*f = -11*f - x. Is f a composite number?
False
Let f = -142 + 156. Suppose -5*w + 17*q = f*q - 18200, 7294 = 2*w - 4*q. Is w prime?
True
Let i(t) = -38*t**3 + t**2 + 33*t + 23. Suppose 199*z - 24 = 203*z. Is i(z) a composite number?
False
Suppose -18*h + 21*h = -g + 47188, 2*g + 2*h = 94396. Is g prime?
False
Suppose -35*p - 544693 + 11989098 = 0. Is p a prime number?
True
Is (18 - (9 - 0)) + 8544*22 a composite number?
True
Let s be (-303)/(2 + -5) + -2. Suppose 0 = -3*p - 2*h + 2917, s = -3*p - 5*h + 3022. Is p a prime number?
True
Let j(r) = r**3 - 14*r**2 - 71*r - 21. Let x be j(22). Let u = x + 3050. Is u a prime number?
False
Let b = 77836 + 75891. Is b a composite number?
True
Let c(p) = -48*p**3 + 1730*p**2 - 5*p - 16. Is c(13) a prime number?
False
Is ((-145)/(-58))/((-5)/(-38554)) prime?
False
Let x = -135 + 145. Suppose 0*m = -5*m - x, 4*m = -2*o + 5688. Suppose -o - 5080 = -4*a. Is a composite?
True
Is (-10430609)/(-63) - 4/18 prime?
False
Is -7 + ((-1366162)/28)/((-2)/8) prime?
False
Let t(l) = 89*l + 10874. Is t(7) prime?
True
Let m(g) = g**2 + 8*g + 11. Let q be m(-8). Suppose -16*f + q*f = 400. Let c = f - -117. Is c prime?
True
Let s be (13970/8)/(-2 + 72/32). Suppose -5*b = -5*a + s, -2*a + 3*b + 2794 = 7*b. Is a a composite number?
True
Let r = 193430 - -32783. Is r prime?
False
Let g(l) = 10*l**3 + 2*l**2 + 3*l + 2. Let p be g(-1). Let d = p + -3. Is (-2)/(-6) - (3536/d + 4) composite?
True
Is (16 - 17)*(1 - (41*4565 - 1)) a composite number?
False
Let m(i) = -4*i**2 + 26*i - 50. Let a be m(4). Is (2 + (-5 - a))/((-7)/(-16723)) composite?
True
Let t be (-1)/(-2) - (-4)/(-56)*7. Suppose t = 73*j - 80*j + 13783. Is j a prime number?
False
Let r(y) = 51429*y**2 - 318*y - 1235. Is r(-4) composite?
False
Let p be -1 + 5301 - (5 - 7). Suppose p = -2*d + 69976. Suppose 5*z - 14*z = -d. Is z a composite number?
False
Let q(x) = -2*x**2 + 23*x - 8. Let s be q(11). Suppose u = 2*t + 6, 0*t - 26 = s*u + 5*t. Is 5 + -5 + (100 - u)/2 a prime number?
False
Suppose -i + 167 = -160. Suppose -1283 = -5*o + i. Is o + (-2 - -4) - -2 a composite number?
True
Suppose 510887 = 2*h + 969. Is h a composite number?
False
Let j be 1/(3/12) - (4 + 15212). Let s = 25435 + j. Is s a prime number?
True
Let s(k) = -k**3 + 4*k**2 + 7*k - 9. Let w(z) = z**2 + 16*z - 63. Let l be w(-19). Is s(l) a prime number?
False
Let k = 101 + -95. Suppose -3*d = -5*m - 7, -19 = -3*d - m - k. Suppose 1542 = 3*t + 3*y, -d - 11 = 5*y. Is t composite?
True
Suppose 916*x - 1477960 = 828*x. Is x composite?
True
Let v be (14/(-6) + 1)/((-4)/6). Suppose c + 2*j + j = 5510, -22082 = -4*c + v*j. Is c prime?
True
Let o = 181254 - -2224555. Is o prime?
False
Let v = 112508 + 257195. Is v a prime number?
True
Let g(f) = 780*f**2 + 14*f - 12. Let u be g(-8). Suppose 0 = 6*q - 166898 + u. Is q a composite number?
True
Let z be 40316/18 - 12/(-54). Let v be ((-1486)/4)/(3/6). Let r = z + v. Is r a prime number?
False
Suppose -2*a + 9704 = -3*d, 0 = a - 2*d - d - 4843. Is a a prime number?
True
Let f(q) be the second derivative of q**6/360 - q**5/12 + 35*q**4/24 - 13*q**3/6 - 5*q. Let z(t) be the second derivative of f(t). Is z(18) a prime number?
True
Let u be ((-90)/12)/((-6)/4). Is 3/1 - (-2445 - (0 + u)) prime?
False
Is (-4 + 6)*(0 + -1)/(23/(-7986221)) composite?
True
Let s = -118685 + 167788. Is s a prime number?
True
Let m = -25263 - -40100. Is m composite?
True
Let r = 27 - 23. Let f be r + 1 + -3 + 221. Suppose 2*i - u - f = 566, -3*i + 5*u + 1166 = 0. Is i a prime number?
True
Let v be 1/((-1)/1*(-3)/324). Let z = v + 850. Is z a prime number?
False
Suppose 24*p - 256 = 8*p. Let j(c) = -c**3 + 19*c**2 - 17*c + 7. Is j(p) prime?
True
Is (847820/3)/(146/219)*1/2 composite?
True
Let h(f) = -5*f + 89. Let z be h(17). Suppose -z*l - 4*g = -10204, -12767 = -9*l + 4*l - g. Is l a composite number?
True
Suppose -5*v + 4*r + 23 = 0, -13 = -2*v - 3*v - r. Suppose -5*c + 8767 = 4*m - v*m, -c + 1757 = 2*m. Is c a prime number?
True
Suppose -112*d + 482740 + 14675 = -320969. Is d a prime number?
True
Is 207742032/504 + ((-2)/(-8) - 10/(-56)) a prime number?
True
Suppose -860*w = -849*w + 47993. Let h = 20418 - w. Is h composite?
False
Suppose -5*k = 842 - 1117. Let p be 2077/2 - 2/4. Is (p/10)/(11/k) composite?
True
Is -33 - 2135/(-65) - 1364822/(-26) a composite number?
True
Suppose -25*y + 22*y - 24 = 0. Let o be (-3 - -3260)/(-7 - y). Let p = 4656 - o. Is p prime?
True
Suppose -4*v + 300145 = 3*a, 3*a - 8*v = -9*v + 300160. Is a prime?
False
Let n be 1*(-65)/10*(-56)/1. Let t = 786 - n. Is t composite?
True
Suppose -39*k - 15*k + 123*k = 351763863. Is k a composite number?
True
Suppose -137569 = 42*x - 43*x - 5*v, x - 2*v - 137597 = 0. Is x a composite number?
True
Suppose -x - 1 = 4*k, -4*k - 1 + 6 = 3*x. Let y = k + 128. Suppose 2*m - 133 = -u, u = -0*u + 4*m + y. Is u composite?
False
Let b be (-2)/9 + (-48822)/(-27). Suppose 4*x - 2*w - 7250 = 0, 5*x + 2*w = 6*x - b. Is x a prime number?
False
Suppose 0 = 5*i - f - 743728, 5*i = 6*i + 3*f - 148768. Is i a composite number?
False
Let f(p) = 16*p**2 - 8*p - 5. Let w = 86 - 78. Let u(k) = k**3 - 9*k**2 + 8*k + 5. Let o be u(w). Is f(o) a composite number?
True
Let f be 2/4 - (-10)/(-20) - -10. Is f/4*(18976/20 + 12) a prime number?
False
Suppose 4*o - 3*h = 275750, 6*h - 30 = h. Is o a prime number?
False
Suppose 4*r = b + 18, -4*b - 28 = r - 6*r. Let d be 397*(r + 0 + -1). Suppose -5*i - 4643 = -4*a, -4*i - 46 = a - d. Is a a prime number?
False
Let w(g) = g + 1 - 2 + 3 - 4*g**2 + 2195*g**3 + 3117*g**3. Is w(1) prime?
False
Let s = -49 - -51. Suppose -3*h = 5*x - 0*h - 74618, -5*h = s*x - 29832. Suppose 16557 = 19*d - x. Is d a composite num | {
"pile_set_name": "DM Mathematics"
} |
*4 + 8*o**3 + 10 - w*o**2 + 128*o. Factor v(q).
-2*(q - 4)**3
Let j(n) be the first derivative of -6*n**2 - 21/2*n + 8 - 1/2*n**3. Factor j(w).
-3*(w + 1)*(w + 7)/2
Let q(s) be the third derivative of -s**5/180 + 13*s**4/18 - 32*s**3/3 - 1009*s**2. What is p in q(p) = 0?
4, 48
Let g be 7 + (-6)/(-6)*30. Suppose -11*j = -g*j + 52. Determine x so that 4/19 - 10/19*x - 6/19*x**j = 0.
-2, 1/3
Let j(c) be the third derivative of -c**6/30 + 8*c**5/5 + 17*c**4/2 + 52*c**3/3 - 2569*c**2. Find q, given that j(q) = 0.
-1, 26
Let p(z) = 28*z**3 - 22*z**2 - 72*z + 3. Let q(y) = 57*y**3 - 45*y**2 - 144*y + 3. Let l(i) = -9*p(i) + 5*q(i). Factor l(d).
3*(d - 2)*(d + 1)*(11*d + 2)
Let c(k) be the second derivative of -k**6/60 + 113*k**5/40 - 303*k**4/4 + 873*k**3 - 5130*k**2 + 9*k - 12. Suppose c(l) = 0. Calculate l.
6, 95
Suppose 13*r - l - 41 = 0, 35*r - 6*l = 31*r + 98. What is j in -729/4 - 1/4*j**r + 27/2*j = 0?
27
Let b = -197853 + 197855. What is p in -1/5*p**3 + 4/5*p + 0*p**b + 0 = 0?
-2, 0, 2
Let n(g) be the third derivative of 0*g + 1/2*g**3 - 92*g**2 + 0 + 1/160*g**6 + 3/8*g**4 - 1/448*g**8 + 11/80*g**5 - 3/280*g**7. Suppose n(d) = 0. Calculate d.
-2, -1, 2
Let q(m) = -m**3 - 3*m**2 + 20*m + 15. Let d be q(-6). Suppose -14*k**2 + 11*k**d + 2*k**2 + k**3 - 8*k**3 + 4*k**2 - 12*k = 0. What is k?
-1, 0, 3
Let z(b) be the first derivative of -b**6/24 + 3*b**5/5 + 15*b**4/4 + 16*b**3/3 - 716. Factor z(m).
-m**2*(m - 16)*(m + 2)**2/4
Let d(k) be the third derivative of -69*k**2 + 0*k**3 + 1/150*k**6 + 0*k**4 + 1/525*k**7 + 0 - 2/75*k**5 + 0*k - 1/1680*k**8. Factor d(y).
-y**2*(y - 2)**2*(y + 2)/5
Let q be 38/19 - (0 + -2 - -3). Let l(s) = -s**4 + s**3 + s**2 + s - 1. Let j(m) = -8*m**4 + 8*m**3 + 3*m**2 + 3*m - 3. Let h(n) = q*j(n) - 3*l(n). Factor h(d).
-5*d**3*(d - 1)
Let n = -2 - -4. Let v be n/2 - (-7 - (-9 - -4)). Factor -6*k - 11*k**v - 23*k**3 + 15*k**2 - 23*k**3 + 45*k**3 + 3*k**4.
3*k*(k - 2)*(k - 1)**2
Factor 0 + 1/10*m**4 + 39/10*m**2 - 27/10*m - 13/10*m**3.
m*(m - 9)*(m - 3)*(m - 1)/10
Let j be 436/327 - 7/6. Let r(d) be the second derivative of 0 + 0*d**3 + 14*d + j*d**4 + 0*d**2. Factor r(z).
2*z**2
Factor -4*l**3 + 560*l - 216*l**2 - 23*l**3 - 1492*l**2 + 34*l**3 + 5*l**3 + 1136.
4*(l - 142)*(l - 1)*(3*l + 2)
Let x(l) be the first derivative of 4*l**5/5 + 2*l**4 - 164*l**3/3 - 84*l**2 + 315. What is a in x(a) = 0?
-7, -1, 0, 6
Let p be (180/40*1/6)/((-20)/(-80)). Let 6/7*j**2 + 2/7*j**p + 0*j + 0 = 0. Calculate j.
-3, 0
Find y such that 1778*y**5 - 12*y - 591*y**5 - 594*y**5 + 12*y**2 - 11*y**4 - y**4 - 590*y**5 + 9*y**3 = 0.
-1, 0, 1, 2
Let x = -4996 - -4998. Let d(q) be the first derivative of 2/27*q**3 + 50/9*q + x - 10/9*q**2. Factor d(s).
2*(s - 5)**2/9
Suppose -8/3*j**2 + 16*j + 1/6*j**5 + 56/3 - 14/3*j**3 - 1/2*j**4 = 0. What is j?
-2, 2, 7
Let i(c) be the first derivative of -c**3/7 - 2433*c**2/14 + 4878*c/7 + 7301. Factor i(p).
-3*(p - 2)*(p + 813)/7
Factor -154 + 139*x**2 - 100*x**3 + 10 - 214*x**2 - 661*x**2 - 84*x**2 + 704*x.
-4*(x + 9)*(5*x - 2)**2
Let f(z) be the third derivative of z**7/1050 - 49*z**6/200 + 558*z**5/25 - 22103*z**4/30 - 2*z**2 - 39*z + 108. Factor f(g).
g*(g - 62)**2*(g - 23)/5
Let t = -39003/2 - -19502. Let f(q) be the first derivative of 1/3*q**6 - t*q**4 + 0*q + 34 + 0*q**2 + 4/5*q**5 - 4/3*q**3. Let f(h) = 0. Calculate h.
-2, -1, 0, 1
Let h be (20/(-6) + 0)/((-10)/(-60)). Let r = h + 23. Suppose -27*v**4 + 9*v**4 - r*v + 7*v**4 - 18*v**3 - 12*v**2 - v**4 - 3*v**5 = 0. What is v?
-1, 0
Let g(t) = 8*t - 167. Let w be g(20). Let v be 4/(-28) - 1/w. Factor -2/5*y**2 + 2/5*y**5 - 6/5*y**4 + 0 + v*y + 6/5*y**3.
2*y**2*(y - 1)**3/5
Factor -640/3 - 4/3*v**2 - 328/3*v.
-4*(v + 2)*(v + 80)/3
Let o(r) be the first derivative of -3*r**4/4 + 8*r**3 - 33*r**2/2 - 60*r - 250. Factor o(h).
-3*(h - 5)*(h - 4)*(h + 1)
Let o(c) = -16*c**3 - 95*c**2 - 60*c - 11. Let u(a) = 3*a**3 + 18*a**2 + 12*a + 2. Let l(q) = 10*o(q) + 55*u(q). Suppose l(d) = 0. What is d?
-6, -2, 0
Let j(i) = -i**2 + 2*i + 11. Let r be j(-2). Find g such that -54 - 27 - r*g**2 + 31*g - 67*g = 0.
-9, -3
Let x(n) = -17*n**2 + 4253*n - 903113. Let a(d) = 140*d**2 - 34025*d + 7224900. Let f(u) = -3*a(u) - 25*x(u). Solve f(v) = 0 for v.
425
Let r(f) be the second derivative of 4/3*f**3 + 9/2*f**2 - 1/12*f**4 - 44*f + 0. Factor r(x).
-(x - 9)*(x + 1)
Let p(g) be the third derivative of -g**7/105 + g**6/6 - 2*g**2 + 1126*g. Factor p(s).
-2*s**3*(s - 10)
Factor 2072*n + 0*n**2 + 2*n - 76*n + 1886*n - 4*n**2.
-4*n*(n - 971)
Let x(o) = -195*o + 784. Let m be x(4). Let f be ((-3)/(-6))/((-1)/(-32)). Factor -f*p**2 + 56*p - m*p**3 - 42 - 12*p + 18.
-4*(p - 1)**2*(p + 6)
Let j(h) be the first derivative of -h**4/4 - 181*h**3 - 73983*h**2/2 - 73441*h - 4602. Find b, given that j(b) = 0.
-271, -1
Let i(f) = 18*f + 3. Let c(a) = 17*a - 153. Let m be c(9). Let z be i(m). Factor -21/5*y**2 - 3/5*y**z - 24/5*y + 48/5.
-3*(y - 1)*(y + 4)**2/5
Let t(i) be the first derivative of -3/2*i**6 + 8*i**3 + 0*i**2 + 0*i - 111 - 27/2*i**4 - 51/5*i**5. Suppose t(k) = 0. Calculate k.
-4, -2, 0, 1/3
Let f = -1615794 - -1615799. Suppose 1221*y**3 + 2544*y**2 - 279*y**4 + 27/2*y**f + 363 - 4125/2*y = 0. What is y?
-2, 1/3, 11
Let x(v) be the third derivative of 0 + 7*v - 11/36*v**4 + 4*v**2 - 2/9*v**3 - 19/180*v**5 - 1/80*v**6. Suppose x(j) = 0. What is j?
-2, -2/9
Let t be 8 - 2 - (-1246)/(-210). Let j(m) be the first derivative of -2/5*m**2 + 4/5*m + t*m**3 + 1. Determine x, given that j(x) = 0.
2
Suppose 123*w = 64*w - 30444. Let c be 29/(-8) - w/129. Factor -c*s**5 + 0 + 0*s + 0*s**2 + 0*s**4 + 3/8*s**3.
-3*s**3*(s - 1)*(s + 1)/8
Factor -28*n + 1/2*n**4 + 71/2*n**2 - 8*n**3 + 0.
n*(n - 8)*(n - 7)*(n - 1)/2
Let -2/15*j**4 + 2/15*j**5 - 34/15*j**3 + 8/3 + 106/15*j**2 - 112/15*j = 0. What is j?
-5, 1, 2
Let u = 42595/8 + -5324. Let w(c) be the first derivative of 3*c + 3/4*c**2 - c**3 - u*c**4 + 10. Factor w(o).
-3*(o - 1)*(o + 1)*(o + 2)/2
Let s(t) be the first derivative of -t**4/6 - 16*t**3/3 - 28*t**2 - 46*t - 60. Let k(n) be the first derivative of s(n). Factor k(u).
-2*(u + 2)*(u + 14)
Suppose -6*l + 84 = l. Factor l*x**2 + 24*x - 25*x**2 + 28 + 9*x**2.
-4*(x - 7)*(x + 1)
Let f(p) be the second derivative of 15/2*p**3 + 1 - 11*p + 35/12*p**4 + 5*p**2. Find r such that f(r) = 0.
-1, -2/7
Let d(l) be the second derivative of -l**6/60 - 93*l**5/10 - 185*l**4/12 + 31*l**3 + 371*l**2/4 + 1323*l - 1. Solve d(v) = 0 for v.
-371, -1, 1
Let d = 1393 + -1389. Suppose d*j - 10 = -o - 18, 5*o - 3*j - 29 = 0. Factor 24/5*c - 4/5*c**2 - o.
-4*(c - 5)*(c - 1)/5
Let k = 115 - 67. Factor -k*g + 9*g + 3*g**3 + 15*g**2 + 56 - 35.
3*(g - 1)**2*(g + 7)
Factor 66*l**2 + 0 - 118/9*l**3 - 20/9*l.
-2*l*(l - 5)*(59*l - 2)/9
Suppose 78*t - 15*t = -147*t + 420. Let d(r) be the first derivative of 84/13*r**3 - 49/26*r**4 - 60/13*r**t + 16/13*r + 22. Factor d(j).
-2*(j - 2)*(7*j - 2)**2/13
Let q be (20818/1813 - 78/1443)/(2/2). Factor 32/7*o - 4/7*o**2 + q.
-4*(o - 10)*(o + 2)/7
Factor -2/9*v**2 + 530/9*v + 0.
-2*v*(v - 265)/9
Let u(x) = 13*x**4 + 3*x**3 - 13*x**2 + 17*x - 8. Let q(m) = 3*m**4 + m**3 - 2*m + 1. Let v(p) = -4*q(p) + u(p). Factor v(k).
(k - 3)*(k - 1)**2*(k + 4)
Let y(p) = -3*p**3 + 807*p**2 + 21. Let k(d) = -d**3 + 404*d**2 + 12. Let u(m) = -7*k(m) + 4*y(m). What is s in u(s) = 0?
0, 80
Let l(g) = g + 7 - 1 + 8. Let v be l(-11). Let o(q) = -6*q**3 - 6*q**2 + 9*q. Let k(i) = -i**4 + 6*i**3 + 5*i**2 - 8*i. Let b(a) = v*k(a) + 2*o(a). Factor b(c).
-3*c*(c - 2)*(c - 1)*(c + 1)
Suppose -c + 19 = -4*l, -c - 4*l - 7 = 6. Suppose -q - 2*q + 12 = -c*t, 0 = q + 2*t + 2. Solve -z - q*z**4 - z**2 + 3*z**4 + 5*z**3 - 4*z**3 = 0.
-1, 0, 1
Determine z, given that -25/4*z**2 - 1/4*z**3 - 143/4 - 167/4*z = 0.
-13, -11, -1
Factor -3/8*d**3 + 441/8 + 435/8*d**2 + 879/8*d.
-3*(d - 147)*(d + 1)**2/8
Let v be 48/128 + 27/(-72). Let i(h) be the first derivative of v*h**2 - 23 + 0*h + 1/28*h**4 - 1/21*h**3. Factor i(o).
o**2*(o - 1)/7
Let z(f) be the second derivative of -f**5/30 + 7*f**4/4 - 20*f**3/3 + 57*f**2 + 96*f. Let m(x) be the first derivative of z(x). Factor m(y).
-2*(y - 20)*(y - 1)
Let j(i) = i**2 - 12*i + 45. Let t be j(7). Factor 25 - 2*s**3 - 3*s**3 + t*s - 25 + 5*s**2.
-5*s*(s - 2)*(s + 1)
Facto | {
"pile_set_name": "DM Mathematics"
} |
r) wrt r.
5878
Let a be 3/1 - (-60)/30. Find the second derivative of 14*k**5 + 4 + 7*k**5 - 4*k - 6*k + 27*k**a wrt k.
960*k**3
Differentiate -1875 - 619*c**2 + 361*c**2 - 1558*c**4 - 266*c**4 + 258*c**2 with respect to c.
-7296*c**3
Let n be (0 + 3/(-5))*(-3 + 8). Let l be ((-80)/(-60))/((-2)/n - 0). Find the third derivative of -12*t**l + 52*t**6 + 0*t**4 + 0*t**4 - 59*t**6 wrt t.
-840*t**3
Let r(x) be the second derivative of 3003*x**5/20 - x**4/6 - 67*x**3/6 + x**2/2 - 6784*x. Find the third derivative of r(s) wrt s.
18018
Let b(z) = 4*z**2 - 29*z + 10. Let m be b(7). Let y be (4/(-8))/((-2)/12). What is the second derivative of y*x**3 - x**3 - 21*x - 6*x**3 + x**m wrt x?
-18*x
Find the third derivative of -7253*q**2 + 21*q + q**5 - 14*q**3 - 4729*q**4 - 21*q + 4610*q**4 wrt q.
60*q**2 - 2856*q - 84
Differentiate 628*x**4 + 899*x**4 - 179*x**4 + 8 wrt x.
5392*x**3
What is the second derivative of 81*v**3 - 242*v**2 + 2*v + 3142 + 308 - 16*v**3 + 183*v**2 + 63*v**3 wrt v?
768*v - 118
Let u(y) = -y**3 - 18*y**2 + 14*y - 30. Let d be u(-19). Let c = d - 65. What is the derivative of c*v**4 + 4*v**4 + 9 - 19*v**4 wrt v?
-60*v**3
Let s(y) be the third derivative of 0*y - 1/40*y**6 - 73/6*y**3 + 0 + 0*y**5 + 0*y**4 - 1/105*y**7 + 43*y**2. What is the first derivative of s(i) wrt i?
-8*i**3 - 9*i**2
Let q(w) be the second derivative of 3*w**6/2 + 5*w**4/12 + w**3/3 - 7727*w**2/2 - w + 2263. What is the derivative of q(p) wrt p?
180*p**3 + 10*p + 2
Let o(n) = 5627*n**4 - 5*n**3 + 633*n - 2. Let l(a) = 2811*a**4 - 3*a**3 + 316*a - 1. Let r(y) = -5*l(y) + 3*o(y). What is the second derivative of r(v) wrt v?
33912*v**2
Let s(i) be the second derivative of -386*i**6/15 - i**4/12 + 16*i**3/3 + 6*i**2 + 628*i. Find the second derivative of s(r) wrt r.
-9264*r**2 - 2
Suppose -4*m - 12 = -2*n, 5*n - 2*m = -3*m + 30. Let q = n - 0. What is the first derivative of q*s - 9*s - 15*s + 8 - 21 wrt s?
-18
Find the second derivative of 24*f**3 + 3*f + f**5 + 14*f**2 + 59*f**3 - 173*f**3 - 984 + 19*f**3 wrt f.
20*f**3 - 426*f + 28
Let b = 2188 - 640. Differentiate 1439 - 37*m - 28*m - b wrt m.
-65
Let a(k) be the second derivative of 365*k**7/42 - 179*k**3/2 + 3*k**2/2 + 1194*k. Find the second derivative of a(x) wrt x.
7300*x**3
Let q be -3 + 1 + 4 - (-2 + -1). Let n be q*(1 + 0)*6/5. What is the first derivative of -22*p + 4 - 13 + 0 - n wrt p?
-22
Let v(j) be the second derivative of j**5/10 + 35*j**4/4 - j**3/6 - 7203*j**2/2 - 7521*j. Differentiate v(s) wrt s.
6*s**2 + 210*s - 1
Let r = -16 - -42. Let s = r + -20. What is the derivative of 314 + s*a + 22*a - 306 - 6*a wrt a?
22
Let m(n) be the second derivative of 475*n**7/3 - 3*n**3/2 - 55*n**2/2 + 1574*n + 1. Find the second derivative of m(w) wrt w.
133000*w**3
Let j(f) = 176*f**2 + 103. Suppose -5*o = t - 14, -t = o + 3*t + 1. Let m(r) = 58*r**2 + 34. Let p(a) = o*j(a) - 8*m(a). Differentiate p(c) wrt c.
128*c
Let u = 141 + -66. Find the second derivative of 33*z - 41*z - 52*z - 53*z + u*z**2 wrt z.
150
Let q = -156 + 108. Let d = -46 - q. What is the derivative of n - 4*n - n + 19 - d*n wrt n?
-6
What is the third derivative of -1467*h**2 - 2808*h**5 - 5040*h**5 - 56550*h + 56550*h + 209*h**5 wrt h?
-458340*h**2
Let r(m) be the first derivative of -84*m**5/5 + 1048*m + 33. What is the derivative of r(i) wrt i?
-336*i**3
Let v(j) be the second derivative of 436*j**7/3 + 61*j**4/4 + 19*j**2/2 + 5*j + 18. What is the third derivative of v(a) wrt a?
366240*a**2
Find the third derivative of -752*d**4 + 14 - 168 + 2*d**3 - d**5 - 91 - d**2 + 51 - 2*d wrt d.
-60*d**2 - 18048*d + 12
Let t(g) be the third derivative of -131*g**8/336 + g**5/60 - 512*g**3/3 + 3405*g**2. What is the third derivative of t(j) wrt j?
-7860*j**2
Suppose -28 = 3*f + 2. Let x be (12/f)/(9/(-30)). What is the first derivative of -x + 4 - 17*g + 24 wrt g?
-17
Let i(t) = 9*t**3 + 5*t**2 + 70*t - 3424. Let p(y) = 4*y**3 + 3*y**2 + 35*y - 1712. Let h(l) = -3*i(l) + 5*p(l). Differentiate h(w) with respect to w.
-21*w**2 - 35
Let g(u) = -2*u**4 + 6*u**3 - 26*u**2 + 743. Let a(c) = c**4 - 5*c**3 + 27*c**2 - 744. Let r(i) = 6*a(i) + 5*g(i). Find the first derivative of r(q) wrt q.
-16*q**3 + 64*q
Let l(a) = a + 123. Let h be l(25). What is the second derivative of -243*i + 186*i**3 + h*i**3 + 186*i**3 - 564*i**3 wrt i?
-264*i
Let r(m) be the first derivative of -25*m**6 + m**4/4 - m**2 - 1265*m - 2048. What is the second derivative of r(o) wrt o?
-3000*o**3 + 6*o
Suppose -14*z + 19*z - 5 = 0. Let g(u) = 59*u**2 + 6*u - 1. Let p(h) = h**2 - 1. Let j(o) = z*p(o) + g(o). Find the second derivative of j(w) wrt w.
120
Let l(p) = 12*p**2 - 5*p + 93 - 8*p**2 - 4*p**3 - 11. Let m(w) = -w**3 - w + 1. Let f(i) = l(i) - 5*m(i). Differentiate f(q) with respect to q.
3*q**2 + 8*q
Let f(v) = -5215*v + 5471. Let w(u) = 1741*u - 1823. Let k(c) = 3*f(c) + 10*w(c). Differentiate k(h) with respect to h.
1765
Let z(s) = 841*s**2 - 6*s + 1327. Let n(m) = m**2 - 2*m + 2. Let u(d) = -6*n(d) + 2*z(d). Differentiate u(y) wrt y.
3352*y
Let u be 18*2/((-30)/(-395)). Suppose 3*b - 5*b + 257 = 3*o, -u = -4*b + 2*o. What is the second derivative of 28*j + b*j**5 - 2*j**2 + 2*j**2 - 112*j**5 wrt j?
180*j**3
Suppose 532 = 46*v + 220*v. Let u(h) be the first derivative of -16*h + 0*h**v - 9 - 19/4*h**4 + 0*h**3. What is the derivative of u(d) wrt d?
-57*d**2
Let f(x) be the second derivative of 0*x**3 - 97/12*x**4 - 13/30*x**6 + 0 + 0*x**2 - 95*x + 0*x**5. What is the third derivative of f(b) wrt b?
-312*b
Let i be -1 - -3 - 4 - 2 - 1. Let q be 2*(i + (-75)/(-10)). What is the derivative of -14*f**4 - 19*f**4 - q + 16 wrt f?
-132*f**3
Let s(d) be the first derivative of 60 + 0*d**2 - 50/3*d**3 + 0*d + 153/4*d**4. What is the third derivative of s(u) wrt u?
918
Suppose -3*h - h + 100 = 0. Suppose 3*y - h = 32. Find the third derivative of 11*g**5 + y*g**2 + 2*g**3 - 55*g**2 - 2*g**3 wrt g.
660*g**2
Let z(s) = -1182*s**3 + 831. Let m(i) = 8275*i**3 - 5816. Let n(t) = 2*m(t) + 15*z(t). What is the first derivative of n(x) wrt x?
-3540*x**2
Suppose 45 + 9 = 9*n. What is the second derivative of 28*i - 16*i + n*i + 46*i**4 wrt i?
552*i**2
Let o = 6289/2 + -3139. Let z(r) be the first derivative of -7*r**3 + 0*r - o*r**2 - 17. What is the second derivative of z(k) wrt k?
-42
Let d(s) = -13*s**2 - s + 2. Let u be d(0). Find the third derivative of -60*o**2 - 18 - 61*o**2 - 22 - 38*o**5 + 119*o**u wrt o.
-2280*o**2
Let l(s) be the third derivative of 121*s**5/12 - 333*s**3/2 - 7*s**2 + 112. Differentiate l(t) with respect to t.
1210*t
Find the second derivative of 19909*w**4 + 4*w**3 + 63 - 7*w + 19913*w**4 - 4*w**2 + 2*w**3 - 39821*w**4 wrt w.
12*w**2 + 36*w - 8
Let n(b) = -b + 1. Let h(o) = 8*o**2 - 5*o + 2. Let j be ((-4 - -10)/(-6))/(-1). Let l(z) = j*h(z) - 6*n(z). Find the second derivative of l(p) wrt p.
16
Let a(s) = 220*s**4 + 3*s**2 - 4*s + 16. Let j(p) = -437*p**4 - 7*p**2 + 9*p - 33. Let t(n) = -7*a(n) - 3*j(n). What is the second derivative of t(b) wrt b?
-2748*b**2
Let q(l) be the third derivative of -6*l**7/35 - l**6/30 + l**4/24 - 3433*l**3/2 - 40*l**2 - 8*l + 4. What is the derivative of q(t) wrt t?
-144*t**3 - 12*t**2 + 1
Let k(d) = -271*d**3 + 6*d**2 + 654*d - 3. Let t(b) = 539*b**3 - 10*b**2 - 1309*b + 5. Let s(i) = 5*k(i) + 3*t(i). What is the second derivative of s(p) wrt p?
1572*p
Find the third derivative of 10677*a**2 - 4*a**3 - 300*a**4 - 9*a**3 + 8*a**3 - 5*a**3 wrt a.
-7200*a - 60
Let z(x) be the second derivative of -x**7/21 - 771*x**5/20 + 4463*x**4/12 + x + 512. What is the third derivative of z(y) wrt y?
-120*y**2 - 4626
Let c(u) = -257*u**2 + 286. Let w(v) be the first derivative of -86*v**3/3 + 95*v + 58. Let i(m) = 6*c(m) - 17*w(m). Differentiate i(r) wrt r.
-160*r
Find the third derivative of -1759*b**6 - 1358*b**2 + 389157*b**3 - 389157*b**3 wrt b.
-211080*b**3
Let c be 72/3*10/15. Suppose -c = -4*q, -4*q + 11 = -j - 1. Differentiate -2 + 7 - 10*k**j - 13*k**4 - 7*k**4 with respect to k.
-120*k**3
Let k(x) be the second derivative of -37*x**5/4 - 688*x**3/3 - 1982*x. Find the second derivative of k(s) wrt s.
-1110*s
Let c = 227 - 198. Find the first derivative of 43*g + 32*g**3 - c + 38*g - 80*g wrt g.
96*g**2 + 1
Let s(r) be the third derivative | {
"pile_set_name": "DM Mathematics"
} |
6*r
Collect the terms in 41690335 - 41690335 + 2*i.
2*i
Collect the terms in 92898*s**3 - 5 + 5.
92898*s**3
Collect the terms in 405*k**3 + 255 + 258 - 516.
405*k**3 - 3
Collect the terms in -247 + 256 - 6*x + 7*x.
x + 9
Collect the terms in 76*f**2 - 2449*f**2 - 481*f**2 - 77*f**2.
-2931*f**2
Collect the terms in -8398*q + 16795*q + 38*q**2 - 8397*q.
38*q**2
Collect the terms in 90*g**3 + 116*g**3 - 323*g**3 + 98*g**3.
-19*g**3
Collect the terms in -2*f + 47*f**3 + 70*f**2 - 70*f**2 - 42*f**3 + 2*f.
5*f**3
Collect the terms in 4660*g**3 - 4595*g**3 - 1 + 1.
65*g**3
Collect the terms in -18*r - 100794 + 100794 + 2*r**2.
2*r**2 - 18*r
Collect the terms in 2769*o**2 + 2922*o**2 - 5695*o**2.
-4*o**2
Collect the terms in -8*b + 19*b + 22*b - b.
32*b
Collect the terms in -25*o - 20*o - 14*o - 15*o + 75*o.
o
Collect the terms in 372 + 89*o - 36*o - 372 - 51*o.
2*o
Collect the terms in 51*a - 1104*a**3 - 1107*a**3 + 2212*a**3.
a**3 + 51*a
Collect the terms in 52 - 107 - 116 + 19 + 2*v.
2*v - 152
Collect the terms in 53*l**2 + 49*l**2 + l**2 - 43*l**2.
60*l**2
Collect the terms in -25980 + 25980 + 73*s**3.
73*s**3
Collect the terms in -35*w**2 + 56*w**2 - 289*w**2.
-268*w**2
Collect the terms in -593*f - 616*f + 1172*f.
-37*f
Collect the terms in 188 + 11*h + 347 - 54 + 15.
11*h + 496
Collect the terms in -9 + 9 - 9027*a + 9024*a.
-3*a
Collect the terms in -a - 2*a + 9*a + 22460.
6*a + 22460
Collect the terms in -6 - 14*n + 15*n - 6 - 256*n**3.
-256*n**3 + n - 12
Collect the terms in -61542*l**2 + 61542*l**2 + 2*l**3.
2*l**3
Collect the terms in 1398*f + 2070*f - 10*f**2 + 12*f**2.
2*f**2 + 3468*f
Collect the terms in -1 + 6399*z**2 + 0 + 686*z**2.
7085*z**2 - 1
Collect the terms in -450198*b**3 + 900384*b**3 - 450194*b**3.
-8*b**3
Collect the terms in 29663*x**2 - 58899*x**2 + 29234*x**2.
-2*x**2
Collect the terms in 94*d**2 - 193*d**2 + 86*d**2.
-13*d**2
Collect the terms in 474*l**3 + 468*l**3 - 1412*l**3 + 476*l**3.
6*l**3
Collect the terms in 73*f - 12*f - 23*f - 25*f - 17*f.
-4*f
Collect the terms in -14583 + 87*x + 14583.
87*x
Collect the terms in 9 + 5 + 10*v**2 - 14 - 16*v**2.
-6*v**2
Collect the terms in 10300*l - 5155*l - l**2 - 5145*l.
-l**2
Collect the terms in -341*f**2 + 74*f**2 - 27*f**2 - 28*f + 27*f.
-294*f**2 - f
Collect the terms in -440*c**3 + 10*c**2 - 3*c**2 - 7*c**2 + 94*c**3.
-346*c**3
Collect the terms in n + 3155*n**2 - 208*n**2 - n.
2947*n**2
Collect the terms in 22*t**2 - 9*t - 40*t**2 + 13*t**2 + 23*t**2.
18*t**2 - 9*t
Collect the terms in 5*a + 16 - 3 - a + 0 - 8.
4*a + 5
Collect the terms in -2159*k - 4 - 7 + 11 + 2162*k.
3*k
Collect the terms in -5*f**2 - 37*f + 83*f - 55*f.
-5*f**2 - 9*f
Collect the terms in -26 - 423*d**3 + 26 - 2280*d**3.
-2703*d**3
Collect the terms in -19089*z**2 - 1148*z**3 + 19089*z**2.
-1148*z**3
Collect the terms in 17 + 19 - 146470603*h + 146470604*h.
h + 36
Collect the terms in -122*x**2 - 176*x**2 - 27*x**2 + 67*x**2 - 267*x**2.
-525*x**2
Collect the terms in -26*z**2 - 198858*z + 198858*z.
-26*z**2
Collect the terms in 21*i**3 - 43*i**3 + 46*i**3 - 3.
24*i**3 - 3
Collect the terms in -1 - 19 - 40*d**3 + 45 - 25.
-40*d**3
Collect the terms in 965 - 965 + 39*x**3 + 45*x**3 - 86*x**3.
-2*x**3
Collect the terms in 16*n**3 + 6*n**3 + 662 - 662 - 9*n**3.
13*n**3
Collect the terms in p**3 - 15274*p + 15274*p - 6*p**3.
-5*p**3
Collect the terms in -3*s**2 - 5 + 4 - 4*s + 11 + 10*s**2.
7*s**2 - 4*s + 10
Collect the terms in -5*y + 66216 - 66216.
-5*y
Collect the terms in 4*b**2 - 3*b**2 - 470*b**3 - b**2 + 239*b**3 + 234*b**3.
3*b**3
Collect the terms in -3*s**3 + 2*s**3 + 100*s**3 + 77*s**3.
176*s**3
Collect the terms in 1602*w**3 - 751*w**3 - 609*w**3.
242*w**3
Collect the terms in -7 + 7 - 285*h + 295*h.
10*h
Collect the terms in -4*g + 4*g + 280395*g**3 - 280409*g**3 - 2.
-14*g**3 - 2
Collect the terms in 2*n**3 + 993*n + 0 + 3 + 1489*n.
2*n**3 + 2482*n + 3
Collect the terms in 723*l**3 - 237*l**3 - 253*l**3 - 236*l**3.
-3*l**3
Collect the terms in -843*x**3 + 331*x**3 + 411*x**3.
-101*x**3
Collect the terms in 7*s**2 + 11*s**2 - 12*s**2 - 6*s + 24*s**2.
30*s**2 - 6*s
Collect the terms in -10 - n + 12*n + 7*n.
18*n - 10
Collect the terms in 2*d**3 - 49847138 + 49847138.
2*d**3
Collect the terms in -45*i**2 + 98*i**2 + 59*i**2 + 24*i**2 + 74*i**2.
210*i**2
Collect the terms in 253 + 2*x + 255 - 1073 + 284 + 260.
2*x - 21
Collect the terms in 6 + 4 - y**2 - 6*y + 31*y + 0*y**2.
-y**2 + 25*y + 10
Collect the terms in -8*c**2 + 20*c**2 + c**3 - 17*c**2 + 8*c - 8*c**2 + 13*c**2.
c**3 + 8*c
Collect the terms in -30091601*u + 30091601*u + 49*u**2.
49*u**2
Collect the terms in -23536*s - 23539*s + 3 + 4*s**3 + 47075*s.
4*s**3 + 3
Collect the terms in 21784126192 - 21784126192 - 12*q.
-12*q
Collect the terms in -4136 + 16860*n + 4136.
16860*n
Collect the terms in -17*h**3 - 130*h**2 + 254*h**2 - 124*h**2.
-17*h**3
Collect the terms in 346 - 3*u + 286 - 4*u + 418.
-7*u + 1050
Collect the terms in 2*w - 5*w - 57435 - 36*w + 57437.
-39*w + 2
Collect the terms in -3076 - 3080 + 6156 - 2*i - 61*i**2.
-61*i**2 - 2*i
Collect the terms in -28*j + 78*j + 76*j**2 - 29*j - 21*j.
76*j**2
Collect the terms in -856*n + 399*n + 456*n.
-n
Collect the terms in -285*a + 2*a**2 - 307*a + 592*a + 0*a**2.
2*a**2
Collect the terms in -15 - 9523*a**3 - 20 + 9519*a**3.
-4*a**3 - 35
Collect the terms in 795*c**3 + 40*c**2 - 790*c**3 - 40*c**2.
5*c**3
Collect the terms in -3629833*c + 3629833*c + c**2.
c**2
Collect the terms in -4186 - d - 4196 + 8382 + 48*d.
47*d
Collect the terms in -91351*w**2 + 45699*w**2 + 45691*w**2.
39*w**2
Collect the terms in -12*q + 12*q + 532*q**2 - 270*q**2 - 265*q**2.
-3*q**2
Collect the terms in -34*w - 3*w - 17*w + 88*w - 19*w.
15*w
Collect the terms in 4*q + 104*q - 124*q + 4*q + 4*q + 10*q.
2*q
Collect the terms in 16 - 16 - 3*w**2 + 26*w - 29*w.
-3*w**2 - 3*w
Collect the terms in -791*w**2 + 916*w**2 + 0*w + 2*w + 2651*w**2.
2776*w**2 + 2*w
Collect the terms in -10616*l + 5298*l + 5334*l.
16*l
Collect the terms in 29*f - 23*f + 40*f.
46*f
Collect the terms in -375*i - 16445*i**3 + 375*i - 4314*i**3.
-20759*i**3
Collect the terms in 11*a - 33*a + 11*a - 6 + 6*a.
-5*a - 6
Collect the terms in -1343*o - 1307*o + 2664*o.
14*o
Collect the terms in 8*z - 7 - 7 + 3*z**2 - 10*z.
3*z**2 - 2*z - 14
Collect the terms in -110083*k**3 + 110034*k**3 + 3 - 3.
-49*k**3
Collect the terms in -2645*q**3 + 5281*q**3 - 2640*q**3.
-4*q**3
Collect the terms in 110 - 237 - 29*m + 130.
-29*m + 3
Collect the terms in 54599 - 54599 + 265*w.
265*w
Collect the terms in q**2 - 6*q**2 - 8*q**2 + 42 + 14*q**2.
q**2 + 42
Collect the terms in -2 - 1 + 0 + 2*k**3 - 3*k**3.
-k**3 - 3
Collect the terms in 0*g**2 + 51*g - 49*g + 9*g**2.
9*g**2 + 2*g
Collect the terms in -4449*m**3 + 22*m**3 - 3171*m**3.
-7598*m**3
Collect the terms in -74 + 23 + 33 - o**2 + 18.
-o**2
Collect the terms in 18*c - 24*c + 2*c + 8*c - 2*c - c.
c
Collect the terms in 4*t - 23*t + 2*t - 6*t + 10*t.
-13*t
Collect the terms in -828 + 28*s - 825 + 1653.
28*s
Collect the terms in 9380*q + 9449*q - 18628*q.
201*q
Collect the terms in 0 + 0 + 0 - 368*m**2.
-368*m**2
Collect the terms in 366146*t + 366128*t - 1098420*t + 366148*t.
2*t
Collect the terms in -43258*l**2 + 43260*l**2 - 1354 + 1354.
2*l**2
Collect the terms in -103*x**2 + 99*x**2 - 4*x - 7*x + x.
-4*x**2 - 10*x
Collect the terms in 72 + 18706*t**3 - 72.
18706*t**3
Collect the terms in 272*c - 128*c - 30*c**2 + 15*c**2 - 144*c.
-15*c**2
Collect the terms in -324*i**3 + 975*i**3 - 331*i**3 - 323*i**3.
-3*i**3
Collect the terms in -4*q**3 + 5*q**3 - 25 + 5*q**3 - 99.
6*q**3 - 124
Collect the terms in 288*c**3 + 329*c**3 + 181*c**3 - 202*c**3.
596*c**3
Collect the terms in -2552 + 2552 + 278*g**2 + 862*g**2.
1140*g**2
Collect the terms in -11*v**2 + 47*v**2 - 17*v**2 - 7*v**2 - 16*v**2.
-4*v**2
Collect the terms in -25*w - 125*w - 396*w.
-546*w
Collect the terms in -160*n + 0 + 0 + 108*n - 147*n.
-199*n
Collect the terms in 46*a + 66*a - 205*a.
-93*a
Collect the terms in -46*f**2 + 3*f**2 - f**2.
-44*f**2
Collect the terms in -85*p - 18*p - 36*p - 79*p + 47*p.
-171*p
Collect the terms in 158*o**3 - 1401*o**3 - 2*o + 2*o.
-1243*o**3
Collect the terms in 87*p + 61*p + 87*p - 258*p + 67*p.
44*p
Collect | {
"pile_set_name": "DM Mathematics"
} |
n) = k(n) - 4*q(n). Solve w(z) = 0 for z.
-1, 5
Let k be (-26)/5 - -14*(-11)/(-22). Solve -9/5*g**3 - 21/5*g**2 + k*g + 3*g**4 + 6/5 = 0.
-1, -2/5, 1
Let c(j) be the third derivative of -j**6/660 + j**5/30 + 7*j**4/22 + 394*j**2. Determine w so that c(w) = 0.
-3, 0, 14
Let z(j) = -16*j**5 - 150*j**4 + 37*j**3 - 9*j**2 - 9*j + 9. Let g(f) = -f**5 + f**4 - f**3 - f**2 - f + 1. Let v(x) = 36*g(x) - 4*z(x). Factor v(o).
4*o**3*(o + 23)*(7*o - 2)
Let c = -410 + 596. Factor 2*k**3 - 5*k - k - c + 190.
2*(k - 1)**2*(k + 2)
Suppose 0 + 10/3*w**2 - 5/2*w - 5/6*w**3 = 0. What is w?
0, 1, 3
Let a be 18/(-5)*(-4 + 9) + -1. Let z = a + 22. Factor -d**2 + 1 - 1/2*d + 1/2*d**z.
(d - 2)*(d - 1)*(d + 1)/2
Let w(p) be the first derivative of 4*p**5/5 + 8*p**4 + 88*p**3/3 + 48*p**2 + 36*p - 53. Factor w(x).
4*(x + 1)**2*(x + 3)**2
Let i(m) be the first derivative of -m**4/32 - m**3/8 + 9*m**2/16 - 19*m - 12. Let u(t) be the first derivative of i(t). Factor u(y).
-3*(y - 1)*(y + 3)/8
Let x be ((-6)/4)/((-15)/10). Let s(q) be the first derivative of 1/4*q**3 - 3/4*q**2 - 9/4*q + x. Factor s(m).
3*(m - 3)*(m + 1)/4
Let -6*h - 15*h**2 + 0*h**2 - 5*h**3 - 12*h**2 + 17*h**2 + h = 0. Calculate h.
-1, 0
Let q(d) be the third derivative of -1/20*d**5 + 0*d - 12*d**2 - 1/4*d**4 + 0 + 3/2*d**3. Solve q(i) = 0 for i.
-3, 1
Let k = 9356/10539 - -4/3513. Let h be (4/6)/((-2)/(-9)). Factor -k*n + 2/9*n**h + 0*n**2 + 0.
2*n*(n - 2)*(n + 2)/9
Suppose -17*z + 16*z - j + 6 = 0, -z - 3*j + 6 = 0. Let b be z*(-6)/441*(-7)/2. Determine h so that -b*h**2 + 2/7 + 0*h = 0.
-1, 1
Suppose -26*v - 71 = -383. Suppose -2*h + 49 = 3. Factor -v*a**3 + 2*a**5 - 3*a**4 + h*a**3 - 6*a**5 - 10*a**3.
-a**3*(a + 1)*(4*a - 1)
Let f = 408 + -7748/19. Determine d so that 8/19 + 40/19*d + 42/19*d**2 - f*d**3 - 14/19*d**4 = 0.
-1, -2/7, 2
Let k be (-6)/1 + 2 + -1 + 9. Suppose 20 = 4*f + 2*t, -k*f - 8 = -0*f - 5*t. Factor 0*z**3 + 3/2*z**5 - f*z**4 + 0 + 3*z**2 - 3/2*z.
3*z*(z - 1)**3*(z + 1)/2
Let n(h) be the second derivative of h**4/54 + 23*h**3/27 + 15*h + 3. Let n(y) = 0. What is y?
-23, 0
Factor 13 - v**3 - 13*v**2 - 29*v + 63*v - 33*v.
-(v - 1)*(v + 1)*(v + 13)
Let l(v) = -v**3 - v. Let n(c) = -2*c**4 - 14*c**3 + 8*c**2 - 4*c. Let z(a) = 12*l(a) - n(a). Factor z(m).
2*m*(m - 2)*(m + 1)*(m + 2)
Let w = -225 - -225. Let p(r) be the first derivative of w*r - 5 + 0*r**3 + 1/12*r**4 - 1/6*r**2. Solve p(z) = 0 for z.
-1, 0, 1
Let q = 6 - -14. Let b be (28/q - 1)/(7/5). Suppose b*d**2 + 0*d + 2/7*d**5 + 6/7*d**3 + 6/7*d**4 + 0 = 0. Calculate d.
-1, 0
Let f(h) be the second derivative of h**6/15 + 7*h**5/20 + h**4/2 - h**3/6 - h**2 + 47*h + 1. Factor f(r).
(r + 1)**2*(r + 2)*(2*r - 1)
Determine m so that 4/7*m**2 + 960/7 + 964/7*m = 0.
-240, -1
Let 530 + 224 + v**2 - 263 - 60*v - 36 + 445 = 0. What is v?
30
Let p(c) be the third derivative of -42*c**2 + 1/2*c**4 + 0 + 0*c + 1/30*c**5 + 5/3*c**3. Let p(m) = 0. Calculate m.
-5, -1
Suppose 2*a = -3*a, 3*o + 4*a - 36 = 0. Let j = o + -8. Factor -4*g**2 + g**4 + g**5 - 5*g**4 + 3*g**3 - 4*g + 8*g**j.
g*(g - 1)*(g + 1)*(g + 2)**2
Let q(n) be the second derivative of 5*n**7/42 + 11*n**6/15 + 33*n**5/20 + 5*n**4/3 + 2*n**3/3 + 24*n + 2. Solve q(s) = 0.
-2, -1, -2/5, 0
Let c be (-1)/(-2) + ((-406)/(-35) - 12). Let f(g) be the third derivative of 1/40*g**6 + 7*g**2 + 0 + 1/8*g**4 + 0*g**3 + c*g**5 + 0*g. Solve f(t) = 0.
-1, 0
Let o(p) = 10*p + 100. Let c be o(-10). Let y(r) be the first derivative of 4 - 2/7*r + 2/21*r**3 + c*r**2. Suppose y(u) = 0. Calculate u.
-1, 1
Let o = -511/2 - -256. Let p(r) be the first derivative of -9/4*r**4 - 6 + 0*r + 0*r**2 + 2*r**3 + o*r**6 + 0*r**5. Factor p(d).
3*d**2*(d - 1)**2*(d + 2)
Solve -4/3 + 10/3*w**2 - w**3 + 3*w = 0.
-1, 1/3, 4
Let y(b) be the third derivative of 0*b**3 + 1/210*b**5 + 0 - 1/420*b**6 + 0*b + 0*b**4 + 1/1176*b**8 - 1/735*b**7 + 22*b**2. Suppose y(f) = 0. What is f?
-1, 0, 1
Let j(g) be the second derivative of 5*g**4/12 - 25*g**3/6 + 15*g**2 + 33*g. Factor j(f).
5*(f - 3)*(f - 2)
Let v(o) = 13*o**3 - o**2 - 4*o + 1. Let a(z) be the second derivative of 3*z**5/20 - z**3/6 + 13*z. Let q(c) = -9*a(c) + 2*v(c). Let q(h) = 0. What is h?
-2, -1, 1
Let l(r) = -r**3 + r**2 + r - 1. Let x be l(-1). Factor -2*b**3 - 58*b + 58*b + x*b**4 - 2*b**4.
-2*b**3*(b + 1)
Let u(n) be the first derivative of -n**3/3 - 4*n**2 - 16*n - 184. What is q in u(q) = 0?
-4
Let q(h) = -33*h**4 + 228*h**3 + 18*h**2 + 6*h. Let d(v) = -4*v**4 - v**3 + v**2 - v. Let b(x) = -6*d(x) - q(x). Suppose b(s) = 0. What is s?
-2/19, 0, 4
Let h(r) be the second derivative of r**6/1620 - r**5/540 + 5*r**3/6 - 45*r. Let l(u) be the second derivative of h(u). Find x, given that l(x) = 0.
0, 1
Let o(c) = -9*c**2 - 91*c - 20. Let y(u) = 18*u**2 + 179*u + 38. Let r(q) = 11*o(q) + 6*y(q). Factor r(l).
(l + 8)*(9*l + 1)
Let v(x) = -269*x + 34. Let k(f) = f**2 - 4. Let j(w) = 5*k(w) - v(w). Let j(i) = 0. Calculate i.
-54, 1/5
Let t be (141 - 4)*(9/(-6) + 1). Let q = 69 + t. Find p, given that -1/2*p**2 + q*p - 1/2*p**3 + 1/2 = 0.
-1, 1
Factor -7496192/5 + 681472/5*h - 23232/5*h**2 - 2/5*h**4 + 352/5*h**3.
-2*(h - 44)**4/5
Let a(p) be the first derivative of p**5/25 + p**4/5 + 4*p**3/15 + 7. What is v in a(v) = 0?
-2, 0
Let g(y) be the third derivative of y**6/40 - 11*y**5/20 + 4*y**4 - 14*y**3 + 10*y**2. Factor g(f).
3*(f - 7)*(f - 2)**2
Solve -7/4*c**3 + 1/2*c**4 + 7/4*c - 3/4 + 1/4*c**2 = 0 for c.
-1, 1/2, 1, 3
Factor 40/3 + 8*a + 2/3*a**2.
2*(a + 2)*(a + 10)/3
Suppose 2*o + 4 - 30 = 0. Factor 7*n**2 - 3*n**2 - o*n + 3*n + 9*n - 3*n**3.
-n*(n - 1)*(3*n - 1)
Let n(f) be the first derivative of -f**5/5 + f**4/4 - f**2/2 + f + 32. Let z(q) = 4*q**4 - q - 3. Let k(p) = -6*n(p) - 2*z(p). Find h, given that k(h) = 0.
-2, 0, 1
Let f(u) be the third derivative of u**5/195 - 7*u**4/52 + 40*u**3/39 - 284*u**2. Factor f(s).
2*(s - 8)*(2*s - 5)/13
Let g be ((-696)/140)/(32/(-10)). Let p = -9/8 + g. Let -3/7*z + p*z**4 + 9/7*z**2 + 0 - 9/7*z**3 = 0. Calculate z.
0, 1
Let z(c) be the third derivative of 2662/21*c**3 + 1/210*c**6 + 0 + 11/35*c**5 + 121/14*c**4 + 0*c - 41*c**2. What is u in z(u) = 0?
-11
Let w(k) = 98*k + 688. Let n be w(-7). Factor h**n + 2/3 - 5/3*h.
(h - 1)*(3*h - 2)/3
Let s(t) be the second derivative of 2*t + 5/8*t**3 + 9/8*t**2 + 0 + 1/16*t**4 - 3/80*t**5. Find v, given that s(v) = 0.
-1, 3
Let d = -5 + 42. Let b be d/13 + 6/39. Solve -l**b + 3*l**3 + 18*l + 7*l**2 + 5*l**2 = 0.
-3, 0
Let u = 311 - 80. Factor -24*i + u*i**2 - 14 + 2 + 48*i.
3*(7*i + 2)*(11*i - 2)
Let v(c) be the third derivative of -c**6/420 + c**5/70 + 3*c**4/28 - 9*c**3/7 + 13*c**2. Solve v(t) = 0.
-3, 3
Let v(d) = 3*d**5 - 2*d**4 - 3*d**3 - 3*d**2 + 5*d. Let s(i) = 8*i**5 - 6*i**4 - 8*i**3 - 8*i**2 + 14*i. Let c(a) = -5*s(a) + 14*v(a). Factor c(x).
2*x**2*(x - 1)*(x + 1)**2
Let z = 1067/604 + -78/151. Let 0 + z*m**4 - 15/4*m + 15/4*m**3 - 5/4*m**2 = 0. What is m?
-3, -1, 0, 1
Let b(k) be the third derivative of k**7/420 - 7*k**6/80 + 19*k**5/40 - 55*k**4/48 + 3*k**3/2 + 381*k**2. Suppose b(y) = 0. What is y?
1, 18
Factor 0 + 0*h + 1/10*h**2.
h**2/10
Let m be (-2)/(-4)*-10*4/(-10). Factor -p + p**2 + 12*p**4 - 8*p**4 - m*p**4 - 3*p**4 + p**3.
-p*(p - 1)**2*(p + 1)
Let k(q) = -274 - 52*q**2 + 142 - 700 + 416*q. Let m(d) = -8*d**2 + 64*d - 128. Let u(f) = 5*k(f) - 32*m(f). What is y in u(y) = 0?
4
Let d(t) be the second derivative of 0 - 36*t**2 + 46*t**3 - 21*t + 9/5*t**5 + 52/3*t**4. Factor d(y).
4*(y + 3)**2*(9*y - 2)
Let p(m) = -28*m**2 + 767*m - 23814. Let r(g) = -10*g**2 + 256*g - 7938. Let l(a) = -4*p(a) + 11*r(a). What is d in l(d) = 0?
63
Suppose -83 = -98*a + 113. Let u(i) be the first derivative of -5 - i**5 - 5/3*i**3 + 10*i - 15/2*i**a + 15/4*i**4. Factor u(r).
-5*(r - 2)*(r - 1)**2*(r + 1)
Let k(g) be the third derivative of g**7/14 + 7*g**6/24 + 5*g**5/12 + 5*g**4/24 + 114*g**2. Solve k(c) = 0 for c.
-1, -1/3, 0
Suppose 21/2*y**3 - 15/2*y**4 + 0*y + 0 - 9/2*y**2 + 3/2*y**5 = 0. What is y?
0, 1, 3
Let j(g) be the second derivative of 1/2*g**4 + g**2 + 9/10*g**5 + 18*g + 2 - 5/3*g**3. Let j(r) = 0. Calculate r.
-1, 1/3
Suppose 3/4*t**2 + 1/4*t**4 + 1/4*t + 3/4*t**3 + 0 = 0. Calculate t.
-1, 0
Factor -106722/17*k**2 - 54/17 + 913066/17*k**3 + 4158/17*k.
2*(77*k - 3)**3 | {
"pile_set_name": "DM Mathematics"
} |
4*a = 3*t - 8, -5*t + 4 + 1 = -5*a. List the prime factors of l(a).
2, 5
Suppose -t - k + 419 = 0, 14*k - 16*k - 846 = -2*t. What are the prime factors of t?
421
Let t(j) = -j**2 + 7*j - 10. Let s be t(5). Suppose s = 4*g - 0*g - 112. What are the prime factors of g?
2, 7
Let j(h) = -h**3 - 5*h**2 + 6*h - 2. Let d be j(-6). Let g be 1/(d/1)*0. Suppose g = -4*t + 3*t + 10. List the prime factors of t.
2, 5
Let y = 83 + -55. List the prime factors of y/7*1/1.
2
Suppose 5*z + 0*k - k - 29 = 0, -3*k - 22 = -2*z. Let h be ((-32)/z)/((-4)/20). Suppose p = -p + h. List the prime factors of p.
2
Suppose 2*y - 6 = -4*n, -3*n + 2*n = y - 2. Suppose -3*i + 4*x - n = 0, 5*i - 4*x - 4 = i. Suppose 0 = -i*s + 8 + 17. What are the prime factors of s?
5
Let j be -3 - (2 - 6/2). Let v(f) = 2*f**2 + 2*f. What are the prime factors of v(j)?
2
Suppose -2*r + 144 = 2*r. List the prime factors of r.
2, 3
Let t be -4 + 2/4*-2. Let q(v) = -v**2 - 7*v - 4. What are the prime factors of q(t)?
2, 3
Suppose s + 2*s - 12 = 0. Suppose s*u + 5*a + 5 = 9*u, -5*u + 9 = -3*a. List the prime factors of u.
3
Suppose -93 = 9*c - 12*c. What are the prime factors of c?
31
Suppose -2*x + 5*x + 5*k - 572 = 0, x - 188 = k. What are the prime factors of x?
3, 7
Suppose -2*q + 131 + 45 = 0. List the prime factors of q.
2, 11
Let z(i) = -3*i + 3. Let l(n) = 13*n - 12. Let f(w) = -2*l(w) - 9*z(w). Let r be f(6). Let y = 6 - r. List the prime factors of y.
3
Let p = 13 + -8. Suppose -q + 8 = -p*b - 4, -q - b = 6. List the prime factors of 8 - (6/2)/q.
3
Suppose 4*a - 17 - 19 = 0. Suppose 5*o = 2*o - a. What are the prime factors of (-2)/(-2*o/(-12))?
2
Let i = 26 - -3. List the prime factors of i.
29
Let c(a) = -a**3 + 3*a**2 - 7*a - 10. What are the prime factors of c(-6)?
2, 89
Let j(w) = -w. Suppose -4*v - 10 = -5*v - 3*c, v - 5*c + 22 = 0. Let g be j(v). List the prime factors of g*(-1 + 0 + 2).
2
Suppose 4*f - 8 - 35 = -d, -d - f = -46. Let x = -33 + d. List the prime factors of x.
2, 7
Let s(j) = j + 2. Let z be s(0). Let n be ((-2)/z - -4) + -1. List the prime factors of (n/(-4))/(2/(-24)).
2, 3
Let w be (24/(-40))/(1/(-5)). Suppose -w*b = -c - 99, -5*b + 0*c = -5*c - 155. What are the prime factors of b?
2, 17
Let y = -808 - -1144. Suppose -4*k + 11*k = y. List the prime factors of k.
2, 3
Let s = 10 + -6. Suppose -s*w + 175 = -5*v, 5*w = -2*v - 2*v + 229. List the prime factors of w.
3, 5
Suppose -4*h + 3*h - 4 = 0. Let g(p) = -3*p - 1. Let y be g(h). Suppose 5*r - 26 = -y. List the prime factors of r.
3
Let o be 121/17 - 6/51. Suppose -o*c - 2 = -8*c. What are the prime factors of c?
2
Suppose 11*u = 17*u - 690. List the prime factors of u.
5, 23
Let r = -87 - -147. What are the prime factors of r?
2, 3, 5
Let w(q) = -q**3 - q - 3. Let j be w(0). List the prime factors of 3 - (-19 - -3 - j).
2
Suppose 3*j = 3*r - r - 16, 0 = -2*r - 2*j + 16. Let f(y) = -y**2 + 9*y - 6. Let u be f(5). Let z = u - r. List the prime factors of z.
2, 3
Suppose -r - 53 = -h + 3*h, 5*r = 2*h - 217. Suppose 4*v - 4*a + 0*a - 264 = 0, 4*v = -3*a + 243. Let d = r + v. What are the prime factors of d?
2, 3
List the prime factors of 104 + 4/(-14) + (-2)/(-7).
2, 13
Let s(k) = 97*k + 1. What are the prime factors of s(1)?
2, 7
Suppose 4*f - 12 = -4*j, -j + 4 = 3*f - 9. Suppose 0 = g + 5*x - 31 - 7, f*g - 2*x = 82. Suppose -o + 2 - g = -l, 4*o - 44 = -5*l. List the prime factors of l.
2, 3
Let d(c) = -c - 14. Let a be 0/(3/(-3) + 0). Let q be d(a). Let l = q - -28. What are the prime factors of l?
2, 7
Let i(m) be the second derivative of m**3/3 - 6*m**2 + 2*m. What are the prime factors of i(9)?
2, 3
Let p(c) = -c**2 + 5*c - 15. Let v be p(9). Let i = -10 - v. What are the prime factors of i?
41
Suppose t + 5*x = -t + 45, -x = -2*t + 75. Let i = -19 + t. Let j = i - 9. List the prime factors of j.
7
Suppose 0 = -3*k + 130 + 593. List the prime factors of k.
241
Let j(r) = 1 + 5*r + 7*r - 14*r. Let d be -8*(0 - (-1)/2). List the prime factors of j(d).
3
Suppose -52 = -3*m + 2*o, -3*m = -3*o - 62 + 8. List the prime factors of m.
2
Suppose -22*o + 736 + 3532 = 0. List the prime factors of o.
2, 97
Let j = 8 - -7. Suppose 2*f + f = j. What are the prime factors of f?
5
Suppose -o - o + 21 = 5*m, -4*o + 15 = m. Suppose k = -3*d + 78, -5*d - o*k = -2*d - 84. List the prime factors of d.
5
Suppose 12*w = 8*w + 24. What are the prime factors of w?
2, 3
Suppose 6*p - 36 = 2*p. What are the prime factors of p?
3
Suppose 0*d + d = 46. List the prime factors of d.
2, 23
Suppose -7 = 2*z + 3*r, z - 3 + 4 = -r. Suppose 0 = z*c - 3*f - 47, 2*c - 3*c + 3*f = -14. What are the prime factors of c?
11
Let y(t) be the second derivative of -t**3/2 + 5*t**2 - 5*t. What are the prime factors of y(-8)?
2, 17
Suppose 2*c + 4*c - 180 = 0. List the prime factors of c.
2, 3, 5
Let k be (7/3)/(3/9). Let m = k - -5. What are the prime factors of m?
2, 3
Let r be 3 - (10 - 0/3). Let w = r - 6. List the prime factors of (-5)/((-10)/6) - w.
2
Let j be (-9)/(1*-1)*-1. Let b be (9/(-3))/(-6)*(1 - -37). Let r = j + b. What are the prime factors of r?
2, 5
Let f = -42 - -77. Suppose 5*w = -3*q + f, 15 = 6*q - 3*q. Suppose 0 = -w*r + 21 + 23. List the prime factors of r.
11
Let v = -3 + 93. List the prime factors of v.
2, 3, 5
Let w = 147 + -68. What are the prime factors of w?
79
Let a(i) be the second derivative of i**3 - i**2 - i. Let y be a(9). Suppose 3*b + 3*j - 36 = 0, 0 = 5*b + 7*j - 4*j - y. What are the prime factors of b?
2
Let m = -6 + 11. Let w(v) = -6*v**2 - 3*v**3 + 6*v - v**3 + v**3 + 4*v**3 + 6. What are the prime factors of w(m)?
11
Suppose 80*f - 83*f + 177 = 0. What are the prime factors of f?
59
Suppose 0 = h, 3*r - 3*h + h = 12. Suppose -18 = -6*m + r*m. What are the prime factors of m?
3
Let k(i) = -i**2 + 3*i - 1. Let m be k(2). Let n(j) = -j - m - 4*j + 3*j. List the prime factors of n(-5).
3
Let z be (-3 + 6)*1/3. Let w(p) = p - 2. Let i be w(z). What are the prime factors of (-3)/i - (-2)/2?
2
Let u = -19 + 10. Let p = 6 + u. What are the prime factors of (1/3)/(p/(-27))?
3
Let z = 16 - 27. Let b = -1 + 0. Let g = b - z. List the prime factors of g.
2, 5
Suppose -3*b + 2*b = 0. Suppose -11 = -b*a - a. What are the prime factors of a?
11
Let l(j) = 5*j**2 - j - 34. List the prime factors of l(6).
2, 5, 7
Suppose -2*z - 3 = -3*z. Let l(r) = r**3 - 3*r**2 + 2*r + 1. What are the prime factors of l(z)?
7
Suppose -j + 2*s + 5 = 0, 0*j = -3*j - s + 29. List the prime factors of j.
3
Let l(v) = v**3 + 5*v**2. Let g be l(-5). Suppose g*k + 10 = 5*k. Suppose -4*f + 3 = -1, 50 = 2*s + k*f. What are the prime factors of s?
2, 3
Let a = 75 + -53. Suppose 6*p = 5*p + a. What are the prime factors of p?
2, 11
Let r = -1 - -1. Suppose -4*t + 41 + 27 = r. Let h = -8 + t. What are the prime factors of h?
3
Let k = -24 - -46. List the prime factors of k.
2, 11
List the prime factors of 2 + (0 - (-2 + 0)).
2
Let c = 13 - -5. Suppose f - 3 = c. What are the prime factors of f?
3, 7
Suppose 21 = 4*d - d. Let f = 14 - d. List the prime factors of f.
7
Suppose 5*g = -55 - 25. List the prime factors of ((-50)/(-4))/((-8)/g).
5
Suppose -2*p + 30 = -p. Suppose 3*w = -2*f + 90, -2*f = -4*w + 5*w - p. What are the prime factors of w?
2, 3, 5
Suppose 0*p = -2*p + 4. Suppose -p*a + 0*c + 12 = -3*c, 2*c = 2*a - 8. Suppose -3*y = 3*d - 5*d - 28, a = -5*y + 3*d + 46. List the prime factors of y.
2
Let h(o) = -2*o**3 + o - 1. Let i be h(-2). Let l(n) = n**2 - 13*n + 14. List the prime factors of l(i).
2, 7
Let j(u) = u + 8. Let b be (-4)/14 - 12/(-42). What are the prime factors of j(b)?
2
Let o = 19 - -11. What are the prime factors of (-12)/5*o/(-9)?
2
Suppose s + 3 = -0*s, 2*r - 4*s - 8 = 0. Let v = 18 + -10. Let u = v - r. What are the prime factors of u?
2, 5
Suppose 3*m - 35 = 2*s - 3*s, 5*m = -s + 59. List the prime factors of m.
2, 3
Let t(m) = m + 4. Let o be t(-5). Let h = 3 + o. List the prime factors of h.
2
Suppose -4*l - 7 - 1 = 0, 5*l + 35 = 5*x. Suppose x*j + f + 19 = -102, -93 = 4*j - 3*f. Let v = 35 + j. What are the prime factors of v?
11
Let l(p) = 2*p**3 + 11*p**2 - p + 2. List the prime factors of l(-5).
2
Let o be (-1)/(-2) - 131/(-2). Suppose o = -7*h + 4*h. Let z = h - -36. List the prime factors of z.
2, 7
Suppose -3*x | {
"pile_set_name": "DM Mathematics"
} |
is divided by 403.
63
What is the remainder when 35885 is divided by 255?
185
What is the remainder when 11412 is divided by 5704?
4
Calculate the remainder when 25654 is divided by 242.
2
Calculate the remainder when 121023 is divided by 25.
23
What is the remainder when 54703 is divided by 99?
55
What is the remainder when 1480917 is divided by 92?
85
What is the remainder when 249940 is divided by 11?
9
Calculate the remainder when 2757 is divided by 731.
564
Calculate the remainder when 145495 is divided by 250.
245
What is the remainder when 1999 is divided by 340?
299
What is the remainder when 14434 is divided by 33?
13
What is the remainder when 77400 is divided by 458?
456
What is the remainder when 848432 is divided by 282805?
17
What is the remainder when 3894 is divided by 777?
9
Calculate the remainder when 65823 is divided by 693.
681
Calculate the remainder when 27805 is divided by 1015.
400
What is the remainder when 328607 is divided by 28?
27
Calculate the remainder when 5877 is divided by 74.
31
What is the remainder when 6725 is divided by 330?
125
What is the remainder when 10870 is divided by 320?
310
What is the remainder when 168925 is divided by 114?
91
Calculate the remainder when 84959 is divided by 84950.
9
Calculate the remainder when 756 is divided by 148.
16
Calculate the remainder when 28663 is divided by 233.
4
Calculate the remainder when 1344326 is divided by 18.
14
Calculate the remainder when 42406 is divided by 73.
66
What is the remainder when 300575 is divided by 466?
5
Calculate the remainder when 11712 is divided by 61.
0
What is the remainder when 4053 is divided by 87?
51
Calculate the remainder when 16583 is divided by 145.
53
What is the remainder when 87406 is divided by 6243?
4
What is the remainder when 995090 is divided by 671?
668
Calculate the remainder when 44786 is divided by 14926.
8
Calculate the remainder when 88697 is divided by 845.
817
What is the remainder when 14025 is divided by 13989?
36
Calculate the remainder when 307096 is divided by 22.
20
Calculate the remainder when 1258 is divided by 15.
13
What is the remainder when 103803 is divided by 970?
13
Calculate the remainder when 208753 is divided by 196.
13
Calculate the remainder when 24552 is divided by 2454.
12
What is the remainder when 967878 is divided by 61?
52
Calculate the remainder when 3381 is divided by 141.
138
What is the remainder when 9988 is divided by 203?
41
Calculate the remainder when 5761 is divided by 165.
151
Calculate the remainder when 7535 is divided by 314.
313
Calculate the remainder when 101122 is divided by 18.
16
What is the remainder when 49282 is divided by 23?
16
What is the remainder when 81232 is divided by 81231?
1
What is the remainder when 44953 is divided by 67?
63
Calculate the remainder when 2249200 is divided by 35.
30
Calculate the remainder when 7331 is divided by 26.
25
What is the remainder when 4975 is divided by 331?
10
Calculate the remainder when 140951 is divided by 140944.
7
Calculate the remainder when 753 is divided by 384.
369
Calculate the remainder when 15699 is divided by 631.
555
Calculate the remainder when 55443 is divided by 132.
3
What is the remainder when 718 is divided by 7?
4
What is the remainder when 1606124 is divided by 36?
20
What is the remainder when 13850 is divided by 462?
452
What is the remainder when 119903 is divided by 2497?
47
What is the remainder when 395252 is divided by 5133?
11
What is the remainder when 2128 is divided by 1871?
257
What is the remainder when 36221 is divided by 15?
11
What is the remainder when 11479 is divided by 1628?
83
Calculate the remainder when 17351 is divided by 3299.
856
What is the remainder when 34742 is divided by 316?
298
Calculate the remainder when 3750 is divided by 9.
6
What is the remainder when 139 is divided by 54?
31
Calculate the remainder when 26495 is divided by 317.
184
What is the remainder when 12662 is divided by 72?
62
What is the remainder when 100282 is divided by 548?
546
What is the remainder when 3788 is divided by 655?
513
What is the remainder when 1006 is divided by 276?
178
Calculate the remainder when 35006 is divided by 15.
11
What is the remainder when 3350 is divided by 177?
164
Calculate the remainder when 92495 is divided by 74.
69
What is the remainder when 4959359 is divided by 1680?
1679
What is the remainder when 110435 is divided by 20?
15
Calculate the remainder when 1433 is divided by 1347.
86
Calculate the remainder when 61514 is divided by 69.
35
Calculate the remainder when 67303 is divided by 709.
657
Calculate the remainder when 12592 is divided by 359.
27
What is the remainder when 16738 is divided by 523?
2
Calculate the remainder when 7876 is divided by 983.
12
Calculate the remainder when 1262558 is divided by 12.
2
What is the remainder when 11043 is divided by 11042?
1
What is the remainder when 129374 is divided by 117?
89
What is the remainder when 888780 is divided by 118?
4
Calculate the remainder when 5207 is divided by 522.
509
Calculate the remainder when 1075 is divided by 179.
1
What is the remainder when 202195 is divided by 60?
55
What is the remainder when 8478 is divided by 926?
144
Calculate the remainder when 3145988 is divided by 77.
76
What is the remainder when 76328 is divided by 33?
32
Calculate the remainder when 52653 is divided by 16.
13
Calculate the remainder when 272042 is divided by 159.
152
Calculate the remainder when 14556 is divided by 415.
31
Calculate the remainder when 135 is divided by 52.
31
Calculate the remainder when 2557 is divided by 31.
15
Calculate the remainder when 7441 is divided by 111.
4
Calculate the remainder when 443211 is divided by 49245.
6
What is the remainder when 44688 is divided by 14895?
3
What is the remainder when 17439 is divided by 88?
15
Calculate the remainder when 6448 is divided by 73.
24
Calculate the remainder when 3798 is divided by 136.
126
What is the remainder when 886826 is divided by 21?
17
What is the remainder when 176849 is divided by 25256?
57
Calculate the remainder when 402269 is divided by 11.
10
Calculate the remainder when 1120 is divided by 1011.
109
Calculate the remainder when 17352 is divided by 140.
132
Calculate the remainder when 1217680 is divided by 135297.
7
Calculate the remainder when 1772 is divided by 219.
20
Calculate the remainder when 367983 is divided by 8.
7
What is the remainder when 9021 is divided by 1551?
1266
Calculate the remainder when 11681 is divided by 1459.
9
What is the remainder when 1372638 is divided by 72244?
2
Calculate the remainder when 4979 is divided by 226.
7
What is the remainder when 3486 is divided by 1641?
204
What is the remainder when 6635 is divided by 50?
35
What is the remainder when 182467 is divided by 26?
25
Calculate the remainder when 4113 is divided by 2029.
55
What is the remainder when 58900 is divided by 5354?
6
Calculate the remainder when 5535 is divided by 1816.
87
Calculate the remainder when 312 is divided by 9.
6
Calculate the remainder when 141677 is divided by 47220.
17
What is the remainder when 12059 is divided by 1721?
12
Calculate the remainder when 3564 is divided by 885.
24
Calculate the remainder when 3899 is divided by 303.
263
What is the remainder when 222837 is divided by 111408?
21
Calculate the remainder when 14862 is divided by 708.
702
Calculate the remainder when 9636 is divided by 166.
8
Calculate the remainder when 3860 is divided by 177.
143
Calculate the remainder when 291876 is divided by 51.
3
Calculate the remainder when 189337 is divided by 1176.
1
Calculate the remainder when 22232 is divided by 556.
548
What is the remainder when 108584 is divided by 54287?
10
What is the remainder when 2149362 is divided by 716451?
9
What is the remainder when 111850 is divided by 111849?
1
What is the remainder when 2856 is divided by 592?
488
What is the remainder when 208879 is divided by 618?
613
Calculate the remainder when 85265 is divided by 79.
24
What is the remainder when 1923 is divided by 128?
3
What is the remainder when 21492 is divided by 10705?
82
Calculate the remainder when 975 is divided by 471.
33
Calculate the remainder when 72530 is divided by 20.
10
What is the remainder when | {
"pile_set_name": "DM Mathematics"
} |
n 140991 is divided by 235.
226
Calculate the remainder when 5455 is divided by 5175.
280
What is the remainder when 36100 is divided by 46?
36
Calculate the remainder when 125 is divided by 92.
33
Calculate the remainder when 1782 is divided by 123.
60
What is the remainder when 38877 is divided by 19429?
19
What is the remainder when 30958 is divided by 86?
84
Calculate the remainder when 329 is divided by 44.
21
Calculate the remainder when 992721 is divided by 22.
15
What is the remainder when 3883 is divided by 158?
91
Calculate the remainder when 947 is divided by 370.
207
Calculate the remainder when 839 is divided by 834.
5
Calculate the remainder when 188929 is divided by 1671.
106
Calculate the remainder when 10729 is divided by 124.
65
What is the remainder when 15202 is divided by 723?
19
What is the remainder when 34650 is divided by 82?
46
Calculate the remainder when 100030 is divided by 100028.
2
Calculate the remainder when 816 is divided by 203.
4
What is the remainder when 9001 is divided by 246?
145
What is the remainder when 513 is divided by 226?
61
Calculate the remainder when 194032 is divided by 95.
42
Calculate the remainder when 1608 is divided by 95.
88
What is the remainder when 8263 is divided by 1839?
907
Calculate the remainder when 56989 is divided by 130.
49
Calculate the remainder when 3499 is divided by 73.
68
Calculate the remainder when 6903 is divided by 229.
33
What is the remainder when 3458 is divided by 192?
2
Calculate the remainder when 205435 is divided by 92.
91
What is the remainder when 3360 is divided by 1158?
1044
What is the remainder when 129470 is divided by 116?
14
What is the remainder when 5175 is divided by 1568?
471
Calculate the remainder when 4772 is divided by 687.
650
Calculate the remainder when 8998 is divided by 132.
22
What is the remainder when 2218292 is divided by 1109144?
4
Calculate the remainder when 1251 is divided by 114.
111
What is the remainder when 83857 is divided by 70?
67
What is the remainder when 11470 is divided by 478?
476
Calculate the remainder when 21268 is divided by 1633.
39
What is the remainder when 2348 is divided by 147?
143
What is the remainder when 40270 is divided by 1032?
22
Calculate the remainder when 56162 is divided by 14035.
22
What is the remainder when 727 is divided by 656?
71
Calculate the remainder when 41797 is divided by 3483.
1
Calculate the remainder when 57354 is divided by 898.
780
Calculate the remainder when 2071174 is divided by 113.
110
What is the remainder when 13655 is divided by 83?
43
Calculate the remainder when 382 is divided by 5.
2
Calculate the remainder when 2446 is divided by 725.
271
What is the remainder when 252856 is divided by 1119?
1081
What is the remainder when 31382 is divided by 79?
19
Calculate the remainder when 3698 is divided by 202.
62
What is the remainder when 14761 is divided by 3680?
41
What is the remainder when 198618 is divided by 39714?
48
What is the remainder when 7311 is divided by 82?
13
What is the remainder when 9794 is divided by 213?
209
What is the remainder when 2188 is divided by 52?
4
What is the remainder when 257392 is divided by 85791?
19
What is the remainder when 29325 is divided by 11?
10
Calculate the remainder when 13783 is divided by 1028.
419
Calculate the remainder when 433299 is divided by 2832.
3
What is the remainder when 933639 is divided by 4?
3
What is the remainder when 78363 is divided by 151?
145
What is the remainder when 923 is divided by 257?
152
Calculate the remainder when 344 is divided by 224.
120
What is the remainder when 2105 is divided by 303?
287
What is the remainder when 5997 is divided by 5997?
0
Calculate the remainder when 5900 is divided by 1473.
8
Calculate the remainder when 2204 is divided by 282.
230
Calculate the remainder when 16869 is divided by 222.
219
Calculate the remainder when 125274 is divided by 18.
12
What is the remainder when 680 is divided by 66?
20
What is the remainder when 234717 is divided by 489?
486
Calculate the remainder when 226303 is divided by 235.
233
Calculate the remainder when 340590 is divided by 45.
30
What is the remainder when 27229 is divided by 798?
97
What is the remainder when 4702 is divided by 1042?
534
Calculate the remainder when 6816484 is divided by 23.
20
Calculate the remainder when 829086 is divided by 104.
102
Calculate the remainder when 542 is divided by 301.
241
Calculate the remainder when 5951 is divided by 1962.
65
Calculate the remainder when 1722 is divided by 39.
6
What is the remainder when 36336 is divided by 62?
4
Calculate the remainder when 3248 is divided by 88.
80
Calculate the remainder when 29480 is divided by 117.
113
Calculate the remainder when 48991 is divided by 68.
31
Calculate the remainder when 4727 is divided by 1524.
155
Calculate the remainder when 111323 is divided by 411.
353
Calculate the remainder when 4595 is divided by 100.
95
Calculate the remainder when 6226 is divided by 1244.
6
What is the remainder when 29026 is divided by 779?
203
Calculate the remainder when 4839 is divided by 692.
687
Calculate the remainder when 2657 is divided by 2.
1
What is the remainder when 21794 is divided by 20?
14
What is the remainder when 32566 is divided by 680?
606
What is the remainder when 10294 is divided by 152?
110
Calculate the remainder when 3903 is divided by 32.
31
Calculate the remainder when 13432 is divided by 210.
202
Calculate the remainder when 7801 is divided by 905.
561
What is the remainder when 316940 is divided by 13205?
20
What is the remainder when 379823 is divided by 25?
23
What is the remainder when 7764 is divided by 619?
336
Calculate the remainder when 34243 is divided by 28.
27
What is the remainder when 256228 is divided by 64055?
8
What is the remainder when 9921 is divided by 216?
201
Calculate the remainder when 28097 is divided by 55.
47
What is the remainder when 217673 is divided by 152?
9
Calculate the remainder when 19477 is divided by 1640.
1437
What is the remainder when 1874 is divided by 539?
257
Calculate the remainder when 25422 is divided by 8448.
78
Calculate the remainder when 68291 is divided by 34138.
15
What is the remainder when 11317 is divided by 2206?
287
Calculate the remainder when 2148 is divided by 2143.
5
What is the remainder when 37824 is divided by 14?
10
What is the remainder when 110249 is divided by 42?
41
Calculate the remainder when 98331 is divided by 2.
1
What is the remainder when 20232 is divided by 413?
408
What is the remainder when 15240 is divided by 4659?
1263
What is the remainder when 2278 is divided by 39?
16
What is the remainder when 13249 is divided by 1324?
9
What is the remainder when 106482 is divided by 100?
82
What is the remainder when 3089 is divided by 612?
29
Calculate the remainder when 856771 is divided by 28.
27
Calculate the remainder when 31180 is divided by 390.
370
Calculate the remainder when 4554 is divided by 1477.
123
What is the remainder when 4119 is divided by 188?
171
What is the remainder when 127861 is divided by 775?
761
What is the remainder when 70017 is divided by 49?
45
What is the remainder when 39910 is divided by 150?
10
Calculate the remainder when 3490 is divided by 1743.
4
What is the remainder when 62894 is divided by 20894?
212
Calculate the remainder when 254 is divided by 246.
8
Calculate the remainder when 7671 is divided by 1508.
131
Calculate the remainder when 764 is divided by 230.
74
Calculate the remainder when 22499 is divided by 194.
189
What is the remainder when 12526 is divided by 1252?
6
What is the remainder when 60968 is divided by 5?
3
Calculate the remainder when 2846 is divided by 2821.
25
What is the remainder when 32063 is divided by 241?
10
Calculate the remainder when 209525 is divided by 76.
69
What is the remainder when 14888 is divided by 2687?
1453
Calculate the remainder when 29413 is divided by 4891.
67
What is the remainder when 8826 is divided by 1243?
125
What is the remainder when 893120 is divided by 31897?
4
Calculate the remainder when 181582 is divided by 6260.
42
What is the remainder when 90291 is divided by 76?
3
What is the remainder when 93581 is divided by 1534?
7
What is the remainder when 4678 is divi | {
"pile_set_name": "DM Mathematics"
} |
factor of 27111 and 168?
21
Calculate the greatest common divisor of 3340 and 115.
5
Calculate the highest common factor of 38482 and 7668.
142
Calculate the highest common factor of 6050 and 400.
50
What is the greatest common divisor of 19736 and 232?
8
Calculate the highest common factor of 1274 and 416.
26
Calculate the highest common factor of 16562 and 1690.
338
What is the greatest common divisor of 65 and 2140?
5
Calculate the highest common factor of 360 and 146040.
120
What is the highest common divisor of 109810 and 120?
10
What is the greatest common factor of 87 and 30102?
87
What is the greatest common divisor of 786192 and 240?
48
Calculate the greatest common divisor of 837 and 22351.
31
What is the greatest common divisor of 37500 and 120?
60
Calculate the greatest common divisor of 14 and 30142.
14
What is the greatest common divisor of 47012 and 4526?
146
Calculate the highest common factor of 49728 and 5952.
192
What is the highest common factor of 415 and 51555?
5
What is the highest common factor of 45469 and 8872?
1109
Calculate the highest common divisor of 21900 and 211335.
1095
Calculate the highest common factor of 672 and 321216.
672
What is the highest common factor of 45 and 248895?
45
Calculate the highest common divisor of 400958 and 28706.
926
What is the highest common divisor of 2075370 and 20?
10
What is the greatest common factor of 32691 and 29937?
51
Calculate the highest common divisor of 3130 and 235.
5
Calculate the greatest common divisor of 102 and 12002.
34
Calculate the greatest common divisor of 2461 and 161.
23
What is the highest common factor of 1632 and 2755360?
544
What is the highest common divisor of 606 and 183?
3
What is the highest common factor of 85618 and 130?
26
What is the greatest common factor of 39190 and 23?
1
What is the greatest common divisor of 1210 and 54890?
110
Calculate the highest common factor of 525 and 662675.
25
Calculate the highest common factor of 943 and 186024.
23
What is the greatest common factor of 17988 and 36?
12
Calculate the greatest common factor of 3526 and 5576.
82
What is the greatest common factor of 50 and 43850?
50
Calculate the greatest common divisor of 1224 and 432.
72
Calculate the greatest common factor of 2960 and 178340.
740
What is the greatest common factor of 189 and 471501?
27
What is the greatest common divisor of 107933 and 17?
17
Calculate the highest common factor of 460172 and 406.
58
What is the greatest common divisor of 198910 and 10?
10
What is the greatest common divisor of 122430 and 3366?
66
Calculate the highest common factor of 323 and 9861.
19
What is the highest common factor of 2 and 117902?
2
Calculate the greatest common factor of 2369 and 2116.
23
Calculate the greatest common divisor of 38 and 9766.
38
Calculate the highest common divisor of 1409982 and 63.
21
Calculate the highest common factor of 177 and 156291.
177
What is the highest common divisor of 455328 and 2295?
459
What is the greatest common divisor of 1424 and 29815?
89
What is the greatest common divisor of 2297817 and 9?
9
Calculate the highest common factor of 75060 and 189.
27
Calculate the highest common divisor of 1505 and 21973.
301
Calculate the greatest common divisor of 6976 and 142681.
109
What is the highest common divisor of 783587 and 1085?
217
What is the greatest common divisor of 4264 and 781911?
533
Calculate the greatest common divisor of 60 and 65420.
20
Calculate the highest common factor of 5593 and 1309.
119
What is the greatest common divisor of 2546890 and 1290?
430
What is the highest common factor of 204974 and 14?
14
Calculate the greatest common factor of 4020234 and 6.
6
Calculate the highest common divisor of 249 and 277220.
83
Calculate the highest common factor of 101849 and 517.
517
What is the greatest common divisor of 95226 and 3766?
538
Calculate the greatest common factor of 48051 and 304.
19
Calculate the highest common factor of 540 and 24120.
180
Calculate the highest common factor of 38915 and 860.
215
What is the greatest common factor of 608 and 58824?
152
What is the highest common divisor of 360351 and 9?
9
What is the greatest common divisor of 3920 and 1808?
16
What is the greatest common divisor of 57 and 3666525?
57
What is the greatest common factor of 177648 and 84?
12
What is the greatest common factor of 360 and 11670?
30
Calculate the greatest common divisor of 2916 and 1404.
108
Calculate the greatest common divisor of 222 and 28209.
3
Calculate the highest common divisor of 3315 and 1040.
65
Calculate the greatest common factor of 4096260 and 1260.
1260
Calculate the highest common divisor of 23722 and 319.
29
Calculate the highest common divisor of 46846 and 56374.
794
Calculate the greatest common divisor of 5033 and 238.
7
Calculate the greatest common divisor of 264 and 10098.
66
What is the highest common divisor of 2627 and 158397?
37
What is the highest common factor of 270 and 17766?
54
What is the greatest common factor of 2790 and 31930?
310
Calculate the greatest common divisor of 20175 and 300.
75
Calculate the greatest common divisor of 2484 and 4103568.
2484
Calculate the highest common factor of 25 and 251475.
25
What is the highest common factor of 16 and 5666?
2
What is the greatest common divisor of 52043 and 2932?
733
What is the highest common factor of 11536 and 2184?
56
Calculate the highest common factor of 14 and 6642.
2
What is the highest common factor of 828 and 118611?
207
Calculate the greatest common divisor of 12 and 194772.
12
What is the highest common divisor of 3532 and 2400?
4
Calculate the highest common factor of 12962496 and 543.
543
Calculate the greatest common divisor of 6 and 1137750.
6
Calculate the highest common factor of 936 and 1689246.
234
What is the greatest common divisor of 132 and 3498?
66
What is the greatest common factor of 130000 and 10625?
625
What is the highest common factor of 42 and 195391?
7
What is the greatest common divisor of 81189 and 54?
27
Calculate the highest common factor of 6693 and 2139.
69
Calculate the greatest common factor of 34459 and 34.
17
What is the highest common factor of 1786 and 9253?
19
What is the greatest common divisor of 56 and 694456?
56
What is the greatest common divisor of 46062 and 2?
2
What is the highest common divisor of 96 and 172248?
24
Calculate the highest common factor of 103 and 671457.
103
Calculate the highest common factor of 256 and 928.
32
Calculate the highest common factor of 208416 and 192.
96
Calculate the highest common factor of 385 and 65.
5
Calculate the greatest common factor of 650076 and 8502.
654
What is the greatest common divisor of 5434 and 198?
22
Calculate the highest common divisor of 8019 and 1122.
33
Calculate the greatest common divisor of 221 and 7709.
13
What is the highest common factor of 176 and 2096?
16
What is the greatest common factor of 17048 and 40?
8
What is the highest common factor of 79690 and 1300?
130
Calculate the highest common factor of 442 and 430924.
26
Calculate the highest common divisor of 1472 and 38548.
92
What is the highest common factor of 54209 and 3020?
151
Calculate the highest common factor of 210996 and 24.
12
What is the greatest common divisor of 39812 and 89846?
538
Calculate the highest common factor of 87 and 583567.
29
What is the highest common divisor of 13 and 311077?
13
What is the greatest common divisor of 93032 and 464?
232
Calculate the highest common factor of 6882 and 1054.
62
What is the greatest common factor of 35900 and 8?
4
What is the greatest common divisor of 668 and 716?
4
What is the highest common factor of 56 and 696?
8
Calculate the greatest common divisor of 567 and 628614.
189
Calculate the highest common divisor of 42 and 304017.
21
What is the highest common divisor of 21752 and 40?
8
Calculate the greatest common factor of 649 and 209.
11
What is the greatest common divisor of 4383 and 261?
9
What is the greatest common divisor of 468226 and 22?
22
Calculate the highest common factor of 65792 and 22784.
256
Calculate the highest common divisor of 75864 and 3712.
232
What is the highest common factor of 516 and 760928?
172
What is the highest common divisor of 28 and 34846?
14
What is the grea | {
"pile_set_name": "DM Mathematics"
} |
-4*b - 17*v, 29*b - 6 = 30*b - 4*v + 1 for b.
1
Solve -19*q - 27*q + 4*k = -93*q + 48*q + 43, 4*q + 3*k - 56 = -0*q for q.
5
Solve -5*b + 2*b - 224 = -13*l - b, l = 2*l + 4*b + 394 for l.
2
Solve -2*j + 5*j - 13 = 3*l - 10, -42*j = -3*l - 237 for j.
6
Solve 111*b - 5*i + 70 = 116*b - 4*i, -10 = -2*i for b.
13
Solve 5896*w - 5892*w = -2*q + 10, q = -4*w + 15 for q.
-5
Solve 2*h + 236 - 177 = -4*x + 117, 72 = 3*h - 9*x for h.
27
Solve 0 = 5*s - 4*b + 175, 4*s + 0*b + 17*b = -5*b - 14 for s.
-31
Solve -p + 11 = -26*q + 25*q, -16*p = -10*p - 7*q - 71 for p.
6
Solve -19*i + 7*i + 5*h = 38, i - 57*h = -62*h - 14 for i.
-4
Solve -3*s - 1440 = -32*k, -109*k + 104*k - s = -225 for k.
45
Solve 0 = 7*a - 4*q + 238 - 161, -3*a + 0*a - 51 = -3*q for a.
-3
Solve 23*y = 2*m + 79, 220*m + 39*y - 213 = 219*m for m.
18
Solve -5*k + 16*a - 18420 + 18485 = 6*a, 5*k - 2*a = a + 2 for k.
-5
Solve 31*b - j + 45 = 0, 2100*b = 2099*b - j + 13 for b.
-1
Solve -i + z + z = -14, 119*z + 31*z + 19*z = -252 + 759 for i.
20
Solve 3*b = -5*f - 10 + 15, 0 = -3*b + 1 - 1 for f.
1
Solve -3*q + 23*q + 3 = -97, 96 - 266 = -5*a + 4*q for a.
30
Solve -2*x = -4*j + 68, x - 1026 = 10*j - 1068 for x.
-32
Solve -l + i - 14 - 41 = 4*i - 6*i, i + 163 = -45*l for l.
-4
Solve 76*q - 79*q = 3*w + 3, -4*q = -q + 5*w - 15 + 22 for q.
1
Solve 0 = -55*z - 2*l + 285, 0*z + 3*z + 10 = -147*l + 152*l for z.
5
Solve 3*d + 803*a + 3 - 36 = 806*a, -4*a - 40 = -2*d for d.
2
Solve f = -2*b + 8, 21*b + 9 - 9 = f + f + 9 - 0 for b.
1
Solve 0*f + 40*g - 35*g = 2*f - 54, -6*f - 4*g - 66 = 0 for f.
-3
Solve -9*x = -5*z + 303, 77335*z = 77333*z + 5*x + 124 for z.
57
Solve 4*s - 8*c - 24 = 0, -44646 = -4*s - 3*c - 44677 for s.
-4
Solve 3*u + 67 = -3*u + 10*t - 5*t, 3*u + 8*t - 59 = -5*t - 3*t for u.
-7
Solve 4*g + 160 = -6267*i + 6262*i, 2*i + 8*g + 217 = 3*g for i.
4
Solve 382*r - 2 = 380*r + 8, 64 = -6*x + 2*r for x.
-9
Solve 0 = -j + 60, 25*i + 3*j + j = 22*i + 5*j - 66 for i.
-2
Solve -203 = -a - 186, -14*y + 25*y - 12*y - 8*a = -141 for y.
5
Solve -3*s - 10*s + 9*s = 2*l - 178, 32 = -5*l + 4*s - 125 for l.
3
Solve -5*q + 4*z - 11 = 23 - 16, -6*q = -3*z + 18 for q.
-2
Solve q - 8954*c + 8955*c = -17, -3*q - 22 - 13 = 2*c for q.
-1
Solve 1950*h + 1949*h + 17 = 3903*h + a, -4*h - 8*a + 52 = 0 for h.
3
Solve -77 = 11*g, 21*t - 26*t - 20 = 5*g + 25 for t.
-2
Solve 54 = 2*c - c - 4*z, 2*c - 218*z = -223*z - 61 for c.
2
Solve -2*h = -6*h + 4*h + 2*h - 38, 5*w + 184 = 4*h + 7*h for w.
5
Solve 0 = -g - 4*f + 2*f - 16, -g - 16 + 21 = -f - 3 for g.
0
Solve -13*r - 2*k - 224 = 0, 40*r + 44 = 37*r - 2*k for r.
-18
Solve -3*d = z - 95, 3*d - 94059839*z + 94059824*z = 15 for d.
30
Solve 0 = -5*c + 3*a - 148, -2*c - 4*a = 66599 - 66545 for c.
-29
Solve -v = 4*d - 26, -301155*d + 301154*d = 3*v - 23 for v.
6
Solve 4*c + 3*n - 65 = 0, -8*c + 9*n = 13*n - 5*n - 137 for c.
17
Solve 2*y - 3*p - 51 = 0, 29*p = 5*y + 51*p - 26*p - 110 for y.
18
Solve 168*m + 62 = -4*h + 173*m, -m - m + 32 = 2*h for h.
2
Solve -19*c - 2*w + 260 + 1298 = 0, -4*c = -5*w - 328 for c.
82
Solve 4*c + 485 = -5*p, -1847*p + 155 = -c - 1837*p for c.
-125
Solve 1241*k + 24 + 58 = 1243*k + 4*w, k - 3947 = -219*w for k.
5
Solve -5*y = 4*b + 4, 8454*y - 8 = b + 8457*y for b.
4
Solve -5*p - 5*y = -5, 121*p - 24*y = 116*p + 34 for p.
2
Solve -17560*b + 391 = -17555*b + 7*o, -2*o = -116 for b.
-3
Solve 3*o + 4*b + 10244644 - 10244641 = 0, 5*o + 4*b = -5 for o.
-1
Solve 23*l - 4*q + 19 = -8*q, q + 3 = 4 for l.
-1
Solve 5*r + 29 - 8 = -2*z - 12, 0 = 3*z + 6*r + 42 for z.
-4
Solve 52*w - 76 = 4*m - 388, 0*m - 10 = -m - 4*w for m.
26
Solve 22*o - h = -45, 2*o + 112 = 55*h + 53 for o.
-2
Solve 74*j - 5*u + 240 = 79*j, 0 = -9*j - 25*u + 1168 for j.
2
Solve 676*x - 50 = 681*x - 3*s, -3*x + 2*s - 6*s = -57 for x.
-1
Solve -47*i - 48*i + g + 33 = -90*i, -5*i + 9*g + 189 = -4*g for i.
4
Solve 4*g + g + 310 = 5*r, -1883 + 1789 = 17*g - 2*r for g.
2
Solve -48*y - 4*b = 552 - 876, 2*b = 2*y - 20 for y.
7
Solve 12*j + 4*f + 167 = -45, -j = f + 19 for j.
-17
Solve -c + 49 = -0*j + j + 38, 39*j + 173 = 4*c for c.
14
Solve n + 1 = -5*m + 26, 23*m + 34670 = n + 34729 for m.
3
Solve 4*v + 316 = -4*l, -29*v + 20*v + 53*l - 601 = -5*v for v.
-84
Solve -3*y + 5*g = -28, 3*y - 42*g - 449 + 347 = 0 for y.
6
Solve 4*d - 6733*a + 6738*a - 8 = 0, 4*a = -76*d - 212 for d.
-3
Solve -36*p + 73*p + 2*r - 47 = 36*p, -5*r - 315 = -4*p - 75 for p.
55
Solve f + z = 10, 7*f - 7723 + 7651 = -5*z for f.
11
Solve -4284*z - 4283*z + 12838*z - 10 = 4277*z - 2*j, j + 23 = -4*z for z.
-4
Solve -2392*q = -2397*q - 4*t - 79, 3*q = 5*t + 145 for q.
5
Solve -l + 9*i + 10 = 4*l + 4*i - 5, 4*i = -32 for l.
-5
Solve -5*n = -61*v + 65*v + 53, -3 - 9 = -4*n for v.
-17
Solve 0 = 7*a - 5*q + 45, q = 1251*a - 1249*a + 9 for a.
0
Solve z - 4*n - 16 = 0, -89 = -2822619*z + 2822615*z - 3*n - 6 for z.
20
Solve -14*k - 8*k + 6*p - 137 = -33*k + 10*k + 8*p, 1540 = -22*p for k.
-3
Solve 5*p + 4095*m + 19 = 4093*m, 0 = 4*p + 7*m + 53 for p.
-1
Solve 14*r + 17415*h = 17410*h + 51, -3*r = -3*h - 15 for r.
4
Solve 5*h = -7*o - 279 + 36, 0 = 5*h - o + 211 for h.
-43
Solve 0 = 890*s - 883*s + 616, 0*p + 3*s + 264 = -9*p + 4*p for p.
0
Solve -3*b - 3*t - 153 = 0, -927*b = -897*b + 3*t + 45 for b.
4
Solve 5386*g - 2695*g = 2695*g + b + 1, -b = -2*g + 19 for g.
3
Solve i + 23 = -3*z, 0*i - 2*i - 21346 + 21356 = -0*i - z for i.
1
Solve 40*v - 2*q = 44*v, -4*v - 13*q + 8 = -v + 54 for v.
2
Solve -2*y + 11 = -5*r - 30 - 68, 4*y = 18*y - 3*r - 27 for y.
-3
Solve x + 2*k + 5 = 3*k, -k + 106 = -8*x - 112 + 227 for x.
2
Solve -1365*d + 1361*d - 9 = -q, -d + 5*q = 7 for d.
-2
Solve -4*q - 5*f = 61, 2308*q = 2303*q + f - 69 for q.
-14
Solve 88153*h - 135 = 88148*h, -7*h + 50 = 2*s - 24 - 92 - 27 for s.
2
Solve -2*a + 85 = -269*t + 1466, t + 158 = -2*a + 314 - 187 for a.
-18
Solve 2*d - 43 = -3*o - 9, 411*o + 3*d - 54 = 408*o for o.
-2
Solve -28 = -11*g + 12*g + 5*n, -g + 2*g + n + 4 = 0 for g.
2
Solve 444*h = 7*k + 441*h + 92, 4*k = -5*h - 19 for k.
-11
Solve 0 = s - 4*t - 19, 1822*t = 5*s + 1827*t + 55 for s.
-5
Solve 3*f = -r - 0*r - 1, 32 = -5*f + 360*r - 364*r for f.
4
Solve -25*i + 9826*a = 9828*a - 118, -5*i = -3*a + 7 for i.
4
Solve 0 = -157*r + 4553, -7*r = -f - 12*r + 146 for f.
1
Solve -4*h = 44, -h = 635*v - 322*v - 317*v + 11 for v.
0
Solve -4*v - 9584*a + 20 = -9574*a, -3*a + a = -5*v - 33 for v.
-5
Solve 5*q - 3*f - 24 = f, -74*f = 4*q - 40*f - 36*f - 12 for q.
0
Solve -5*q + 186 - 161 = 0, -2*q - 87 = -6*o - 5*q for o.
12
Solve -36*i - 8*i = 3*s + 19*i - 339, s - i - 3*i + 12 = 0 for s.
8
Solve 2*o = o + 2*y - 16, o - 836 + 944 = 25*y for o.
-8
Solve -3*u + 10 = k, 5*k + 1253 - 2658 + 1334 = 6*u for k.
13
Solve 523 = 5*r + 3*k, -1725 = -18*r + 2*k - 771 + 980 for r.
107
Solve 0 = 2*r + 4*t + 76 - 94, r + 9 = 4*t for r.
3
Solve 0 = -3*r - 9*s - 246, 99*r - 7*s - 202 = 104*r for r.
-4
Solve -326925*i + 326917*i - 2*q + 86 = 0, 0 = -4*i + 5*q - 311 for i.
-4
Solve -6*x + 1998 = -47*t, -2*x = -4*t + 240 - 416 for t.
-42
Solve v = 610*q - 609*q, -7*v + q = v + 4*q + 55 for v.
-5
Solve -3*k - 157 = 2*o, k + 24366*o - 24371*o + 28 = -30 for k.
-53
Solve -3*r - 16*p - 13*p = -32*p - 27, 0 = 36*r + 5*p - 529 for r.
14
Solve -7*n - 23 = -5*s, -1415*n + 1420*n + 19 = 4*s for n.
1
Solve -f + 228 = -5*g, -26868*f + 3*g + 146 = -26872*f for f.
-2
Solve 5*t - 2*n + 9 = 0, 0 = 13*t - 16*t - n - 1 - 0 for t.
-1
Solve 0 = -2*h - 4*t - 18, 2 - 4 = -7*h + 8*h - t - 5 for h.
-1
Solve -7*h + 3*p - 38 = 0, p - 8528200 + 8528199 = 0 for h.
-5
Solve 7*s - 4*b = -31, 15*b = -15*s + 40*b - 22*b - 33 for s.
-1
Solve 15*j + 5*d = 0, 3*j + 11*j + 2*j + 0*j - 13*j - 5*d = -18 for j.
-1
Solve 3*o + 27 = 4*d, 7*d + 22940 = 5*o + 22987 for o.
-1
Solve -3*s + 55 = 4*b, 2*s + 38 = -4*b + 8*b + 8*s - 56 for b.
4
Solve -4*y = -17*i - 61 + 442 + 388, 0 = -i + y + 46 for i.
45
Solve 30 = 2*n - 5*s, -n - 163*s = -161*s - 27 + 30 for n.
5
Solve 4*z - 36 = 4*l, 5*z + 17*l = -4*l + 19*l + 66 for z.
12
Solve 15*z + 31 = -5*o - 77 - 12, 2*o - 4*z + 55 = 27 for o.
-18
Solve -2*t - y - 34 = 0, -y = -22353 + 22357 for t.
-15
Solve -s - 6*j = -2*j + 5, 50*s - 51*s = j + 5 for s.
-5
Solve 44 = -2*a + 13*x, 880*x = 8*a + 875*x + 82 for a.
-9
Solve 0 = s - 2*w - 3*w - | {
"pile_set_name": "DM Mathematics"
} |
3, -477360?
-477357
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-224909
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-1526543
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14898749
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25392135
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6403669
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897287
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-322147146
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-6878228
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1870647
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16973080
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1254591
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-927747305
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-15425106
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1509081
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-19428973
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-684580
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128460
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15170034
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-56147
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1042613
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13654593
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5999
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-244976465
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32579021
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19777
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-6754380
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-14393
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2839530
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6977
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-762218
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-64820
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-5299759
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-1674001
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596665
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-11056
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35261295
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-210462791
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-17790203
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69915548
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-392719
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22946
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-7434973
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57458
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-92338
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129969
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-12053066
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1316619
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588836
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554
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386636365
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-14823
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-15148
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1218690
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-2224753340
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3594645
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-640757
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12785
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-99402440
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415850503
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12675
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-1259496
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-826071
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173240
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-5850266
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5861830
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7690
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70916
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84066
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6701382
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7212
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45812
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10541143
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-11265
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-337691
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-2350
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-460139
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-15679
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-161712
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-29897
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-480656
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64082
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25756794
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-312383
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1085329526
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23699037
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-93137
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-6456
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3225291
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-1859
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10816254
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-686973891
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-14415303
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3289728448
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130438555
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19166707
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498570
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-1243225
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28697
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-2086
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-5350330
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27646333
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13918
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29462439
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-1443290
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-69848
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2323728
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-8099923
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51797
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-21752
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16812507
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184505
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225091479 | {
"pile_set_name": "DM Mathematics"
} |
+ 4)*(7*c**3 + c**3 - 4*c**3) + 2*c**4 + c**4 - 2*c**4).
-24*c**5
Expand (10*b + 2*b - 15*b)*(2*b - 7*b + b) + b**2 - b**2 + 2*b**2.
14*b**2
Expand (-11 + 10 - 6)*(p + 284 - 297 - 3*p).
14*p + 91
Expand 11*y - 5*y + 6*y + (-2*y + y + 0*y)*(-7 + 3 - 4).
20*y
Expand (5*p + 6*p + 2*p)*(2*p**3 - 3*p**3 - p**3)*(-2*p + 5*p + 0*p).
-78*p**5
Expand (2*i - 4*i**2 + i**2 + 2*i**2)*(1 - 1 - i**2 + (-4*i + 2*i + i)*(i + 0*i - 3*i) + i**2 - 6*i**2 + 3*i**2 + (-36 + 36 - 9*i)*(5*i - 13*i + 6*i)).
-17*i**4 + 34*i**3
Expand (-5*w - 4*w + 2*w)*(-2*w**2 + 4*w**2 - 4*w**2)*(-2*w**2 + 4*w + w**2 + 0*w).
-14*w**5 + 56*w**4
Expand (1 + 2*d - 1)*(-5*d - d + 5*d) - d**2 - 6 + 6 + (-2*d + 4*d - 4*d)*(-3*d + 2*d + 0*d)*(-1 + 18 + 4).
39*d**2
Expand 6607 - 6607 - 56*u - 2*u + 3*u + 0*u + u - 2*u + 0*u - 3*u - 2*u + 3*u - u - u + 4*u + (-3 + 4 - 3)*(0 + 0 - 2*u) - 2*u - 3 + 3.
-54*u
Expand (-5 + 1 - 5*n**3 + 2*n**3)*(10*n + 103 - 103).
-30*n**4 - 40*n
Expand (334*l - 1 - l + 1)*(0 - 3 + 5).
666*l
Expand (2*y - 7*y + 2*y)*(y + 2*y + y)*(-4*y - 9 + 9).
48*y**3
Expand 7*q**3 + 0*q**3 - 4*q**2 - 10*q**3 + 4*q**3 + 0*q**3 - 3*q**3 + (0 + 1 + 1)*(q**3 + q**2 - q**2) - 2*q**2 + 2*q**2 + 2*q**3.
2*q**3 - 4*q**2
Expand ((z**2 - 3 + 3)*(-4*z + 4*z + 3*z) + 2*z**3 - 7*z**3 + 3*z**3 + z**3 - 4*z**3 + z**3)*(2*z - 43 + 43).
-2*z**4
Expand (0 - 1 - 6*f**4 + 21*f**4)*(-4*f + 5*f + f).
30*f**5 - 2*f
Expand -2*s + s + 3*s + (2 + 0 - 3)*(7*s - 17*s + 2*s) + 0 + 3 - s + 0*s.
9*s + 3
Expand (285 + 27 + 432 - 1555 - 2*i)*(-i + 1 - 1).
2*i**2 + 811*i
Expand (-2 - 2 + 3)*(2*y - y**4 - 2*y) + y**2 - 1438*y**4 - 3*y**2 + 880*y**4.
-557*y**4 - 2*y**2
Expand (-a**2 + 9*a**2 - 5*a**2)*(-14402 + 14402 + 27*a).
81*a**3
Expand (u - 3*u + 0*u)*(3 - 3 - 1) + 27*u - 237 + 237.
29*u
Expand (-2*y + 0*y + 6*y)*(-6 + 3 + 0) + 15 - 15 + 13 - y.
-13*y + 13
Expand (-20*n - 33*n - 16*n)*(-2*n + 2*n - 2*n**2 + (-38 + 8*n + 38)*(n + n + 0*n)).
-966*n**3
Expand -6*s**4 + 0*s**4 + 2*s**4 + (-s**3 + s**3 + 6*s**3)*(-1 - 7*s + 1).
-46*s**4
Expand (0*u**3 - u**3 + 2*u**3)*(-5*u + 2*u + 2*u + 1) + (8*u + 0*u - 6*u)*(3*u**3 + 5 - 5).
5*u**4 + u**3
Expand (42*c**2 + 86*c**2 + 7*c**2)*(-2*c**3 - 2 + 2).
-270*c**5
Expand -2*c - c + 2*c + (4*c - c - c)*(-1 + 1 - 1) - 4 + 4 - 2*c - 3*c + 2*c - c + 6*c + c - 2*c + (0 + 4 - 5)*(-c + c + c) - 3*c + 0*c - 2*c.
-8*c
Expand 2*r - 4*r**2 - 4*r + 2*r**2 + (2*r - 4*r - 3*r)*(3 - r - 3) + 2 - 2 + r**2.
4*r**2 - 2*r
Expand (-s**2 + 1 - 2*s + 0*s**2 - 6*s**2)*(3 - 2 + 0).
-7*s**2 - 2*s + 1
Expand (-673 + 14*z + 673)*(0 - 3 + 1) - z - 3*z + 6*z + (2 + 2 - 3)*(-z - 2*z + z) + z - z - 2*z.
-30*z
Expand ((0 + 3 - 2)*(15*h**3 + 20 - 20) + (0*h + h + h)*(3*h + 2*h**2 - 3*h))*(-5*h**2 + h**2 + 5*h**2) - 5*h**2 + 5*h**2 - 2*h**5.
17*h**5
Expand (-9 + 7*v + 7 + 5*v)*(25*v - 31*v**2 - 25*v).
-372*v**3 + 62*v**2
Expand (-3*v**2 + 5*v**2 - 4*v**2)*((-7*v + 6 - 6)*(-1 + 4 - 6) + (-2 + 1 + 0)*(-v + 2*v + 0*v) - 2 + 2*v + 2).
-44*v**3
Expand (1 - 1 + j**2)*(-4922 - 379*j + 4922).
-379*j**3
Expand (6*v - 16 - 6*v - 3*v**2)*(-2 + 2 - 2)*(6*v - 3*v - v + (-1 - 2*v + 1)*(-3 - 2 + 3)).
36*v**3 + 192*v
Expand (-4*m**3 + 4*m**3 + 12*m**4)*(m + 3 - 3 + (1 + 1 - 4)*(0 + 0 - m) + 5*m + 2*m - 2*m).
96*m**5
Expand (2*x + x - 6*x)*(96 + 50 - 28)*(-3 - 1 + 3).
354*x
Expand 291 - 291 + 25*c**3 + c**3 + 10*c**3 - 2*c**3 + (3 - 3 - c)*(c**2 - c + c) - c**3 + 0 + 0.
32*c**3
Expand (-8*r**2 - 26 + 26)*(0 + 2*r + 0)*(r + 17*r + 2*r).
-320*r**4
Expand (3*x**2 + 0*x + 0*x)*(-3*x + 32*x - x)*(4*x - 2*x - 4*x).
-168*x**4
Expand (23*o**4 - 43*o + 43*o)*(18 - o + 16 - 15).
-23*o**5 + 437*o**4
Expand (0*g - 5*g - 6*g)*((-1 + 1 + 2)*(1 + 0 + 0) - 1 + 1 - 1 - 13 - 8 + 7).
143*g
Expand (-1 + 1 + 2*t)*(-2 - 1 + 2) - 222*t + 108*t + 100*t.
-16*t
Expand (-69*j**2 - 19*j - 13*j**3 + 20*j + j)*(0 + 1 - 3).
26*j**3 + 138*j**2 - 4*j
Expand (7 + 7 - 7)*(-2 + 2 - 2*l**2) + 28*l**2 - 14*l**2 + 12*l**2.
12*l**2
Expand 2*q + 2*q**5 - 2*q + (-1 + 1 - 2*q**2)*(-2*q**3 - 1 + 1) + q**5 - q**5 + 2*q**5 - 291*q**5 + 158*q**5 + 157*q**5 - 4*q**5 - 4*q**5 + 0*q**5.
24*q**5
Expand 18 - 11 - 8 + 22*t**5 + (-t**3 - t**3 + 3*t**3)*(4 - 4 - t**2) + t**5 + t**5 - 3*t**5.
20*t**5 - 1
Expand (-926 + 27*h**2 + 926)*(-h**2 + 4*h**2 - 4*h**2) + h**4 - 6*h**4 + 2*h**4.
-30*h**4
Expand (-4*u + u + 5*u)*(-u**4 + u**4 - u**4) + 212*u**4 - 47*u**5 - 212*u**4.
-49*u**5
Expand (-12 - 4 - 4)*(3 - 2*s - 3)*(-3*s + 2*s + 2 - 3*s).
-160*s**2 + 80*s
Expand -3*h - 3*h**2 + 12*h - 7*h - 8*h**2 + 18*h - 18*h + 3*h**2 - 4*h**2 + 3*h**2 + (0 + 2 + 0)*(-4*h**2 - 3*h**2 + 5*h**2) + 0*h**2 - 5*h**2 + 2*h**2.
-16*h**2 + 2*h
Expand (-1 + 4 - 2)*(-332*q**2 + 20*q**3 + 332*q**2) + 3*q**3 + 0*q**3 - 2*q**3 + (4*q**2 - q**2 - 4*q**2)*(-2*q - 1 + 1).
23*q**3
Expand ((-14 + 10*n + 14)*(5 - 4 + 1) + (5 - 3 - 1)*(-7*n + 4*n - 6*n))*(1 + 0 + 1).
22*n
Expand (-3*k - 2*k - k)*(-4 + 5 - 5)*(1 + 5 - 4)*(0 + 2*k + 0).
96*k**2
Expand (1 - t - 1)*(4 - 1 - 2) + 2*t + 3*t - 6*t + (-t + 0*t + 3*t)*(-6 - 3 - 6).
-32*t
Expand (-4*i - 4*i - 2 + 5*i)*(21 + 103 + 37).
-483*i - 322
Expand (3*x**5 + 2*x**5 - 7*x**5)*(45 - 87 - 29).
142*x**5
Expand (8 - 5*n - 8)*(4*n + 2*n - 3*n)*(0 - 2 + 4)*(-6 + 0 + 3) + (2*n - n + 0*n)*(2 - 2 + 2*n).
92*n**2
Expand (-27*j**2 - 73*j + 73*j)*(1064 + 37*j - 1064).
-999*j**3
Expand (-54*o**3 + 118*o**3 - 57*o**3)*(-2*o + 4*o - 4*o)*(o - 6*o + 3*o).
28*o**5
Expand (0 + 2*i + 0)*((-4*i + 4*i + 2*i)*(-8 - 15 - 1) + (-3*i + 2*i + 3*i)*(2 - 5 - 2) + i + 4 - 4).
-114*i**2
Expand -2*t + 3 - 3 - 3*t + 2*t - t + 7*t - 8*t - 11*t + (-4 - 2 + 4)*(0*t + 4*t - 2*t).
-20*t
Expand (-2083 + 2083 - 2*t)*((1 + 3 - 2)*(2*t - t - 3*t) + 0*t - 2*t + 3*t + 3*t + 0*t - 4*t).
8*t**2
Expand (0 - 19 - 2)*(5*b - 5*b + b)*(48 - 48 - 2*b + 0*b + 2*b + 0*b + (b - 2*b + 0*b)*(0 - 3 + 2) + 2 + 2*b - 2).
-63*b**2
Expand 4*y**5 - 12*y**5 - 10*y**5 + 3*y**5 + (4*y - 4*y + y)*(-3*y + 3*y - 2*y**4).
-17*y**5
Expand (2*o - 4*o + 3*o)*(-139*o**3 + 100*o**3 - 186*o**3).
-225*o**4
Expand ((1 + 0 - 2)*(5 + 0 + 10) - 1 - 4 + 3 + (5 - 3 - 1)*(4 - 4 - 2) - 1 + 4 - 5 - 1 + 4 - 5)*(i**2 + i**2 - i**2).
-23*i**2
Expand g - 6*g + 2*g + (3 - 1 - 1)*(-5 - g + 5) + 25*g + 3*g + 5*g + (-4 + 6 - 3)*(g + g - g).
28*g
Expand -3*n + n + n + (1 - 4 + 2)*(6*n - 5*n + 7*n).
-9*n
Expand (-l**4 - l**2 + l**2)*(0*l + 3*l - 5*l) + 3*l**5 + 2*l**5 - 3*l**5 + 2*l**5 + 4*l**2 - 4*l**2 - 39*l**2 + 4*l**5 - 2 - 49*l**2 + 93*l**2.
10*l**5 + 5*l**2 - 2
Expand (-1 + 2*h + 1)*(3 - 3 - 2) + 11*h - 9*h - 36*h - 2*h - 3*h + 3*h - 2*h + 5 - 5 + (-1 - 4 + 4)*(2*h + 3*h - 3*h) + 3 - 3 + 3*h.
-41*h
Expand (-3*u + 0*u + 4*u)*(-158 + 158 + 9*u**2)*(-3*u + 3*u - 2*u).
-18*u**4
Expand (-2*b + 0*b + b)*(719*b - 719*b - 49*b**3).
49*b**4
Expand -3*w**3 + w**3 + 0*w**3 + (12*w - 12*w + w**2 - 2)*(-w - 13*w - 5*w).
-21*w**3 + 38*w
Expand -a**3 + 2*a - 2*a + a**2 - a**2 - 2*a**3 + (0 + 0 - 2)*(-2*a**3 + 0*a**3 + 0*a**3) + 0 + 2*a**3 + 0 + 418 + 443 - 2*a**3 - 833.
a**3 + 28
Expand 2174 - 2174 + 98*d + 1 - 1 + d + (-3*d + 5*d + 0*d)*(0 + 1 + 1) - d + 3*d - d.
104*d
Expand 5*n**3 + 2*n**3 - 3*n**3 + (7*n - 4*n - 2*n)*(-7 - n**2 + 7) - 5*n**3 - 3*n**3 - 7*n**3.
-12*n**3
Expand (2 - 1 + 0)*(-3 - 1 + 1)*((-3 - 3 + 7)*(-2*u**2 + 0*u**2 + u**2) - u**2 - u**2 + u**2 + 37*u**2 - 39*u**2 - 13 + 3).
12*u**2 + 30
Expand (0 + 0 - 8*g)*(-g - 3*g + 2*g) + 14*g**2 + 69*g**2 + 24*g**2 + (-g + 0*g + 2*g)*(-1 + 1 - 2*g).
121*g**2
Expand (14*x - 10*x + 5*x)*(-9 + 5 - 4)*(-2*x**2 - 4*x**2 + 4*x**2).
144*x**3
Expand (-2*h + 3*h + 0*h)*(-107*h**2 + 368*h - 368*h) + 0*h**3 + 0*h**3 + h**3.
-106*h**3
Expand (201*y**5 + 2211*y**2 - 2211*y**2)*(-4 + 3 + 2).
201*y**5
Expand (0 + 2*n + 0)*(-37 - 103 + 51) + (-3*n + 3*n + 2*n)*(2 - 1 + 8).
-160*n
Expand (2 + 0 + 0)*(2*q + q - 4*q)*(-1 - 5 - 1)*(-1 + q + 1) + 0*q**2 - 2*q**2 - 2*q**2.
10*q**2
Expand 0*q**5 - 2*q**5 + 5*q**5 + (77*q + 23*q + 59*q)*(3*q**4 + q**4 - 7*q**4).
-474*q**5
Expand (-3*m**3 + 4*m**3 + m**3)*(-10 + 0 - 2)*(-3 + 0 + 0).
72*m**3
Expand (2 - 1 + 0)*(-4 + 5 + 1 + (4 + 0 - 2)*(-2 + 1 - 1))*((-a + 0*a + 2*a)*(1 + 0 - 3) + 6*a - 5*a + 5*a).
-8*a
Expand (44*v - 44*v - 26*v**2)*(v - v + v + (3*v + v - 3*v)*(3 - 5 + 1) - 3*v + 4*v - 3*v).
52*v**3
Expand (-6*k**2 - 2*k**3 + 6*k**2)*(11 - 14 + 5 + 96*k).
-192*k**4 - 4*k**3
Expan | {
"pile_set_name": "DM Mathematics"
} |
emainder when 50288 is divided by 47?
45
What is the remainder when 98266 is divided by 2233?
14
Calculate the remainder when 19495 is divided by 1946.
35
Calculate the remainder when 110918 is divided by 798.
794
Calculate the remainder when 295313 is divided by 298.
293
What is the remainder when 84425 is divided by 53?
49
Calculate the remainder when 177017 is divided by 37.
9
What is the remainder when 180594 is divided by 210?
204
What is the remainder when 90769 is divided by 27?
22
What is the remainder when 11771 is divided by 740?
671
Calculate the remainder when 6577 is divided by 1309.
32
Calculate the remainder when 1115 is divided by 30.
5
Calculate the remainder when 30307 is divided by 30253.
54
What is the remainder when 1293 is divided by 9?
6
Calculate the remainder when 666992 is divided by 223.
222
What is the remainder when 37377 is divided by 37?
7
What is the remainder when 316 is divided by 157?
2
Calculate the remainder when 464 is divided by 245.
219
Calculate the remainder when 54380 is divided by 640.
620
What is the remainder when 1091 is divided by 134?
19
What is the remainder when 16562 is divided by 1693?
1325
Calculate the remainder when 154998 is divided by 408.
366
What is the remainder when 6208127 is divided by 317?
316
Calculate the remainder when 27723 is divided by 79.
73
What is the remainder when 260326 is divided by 3471?
1
What is the remainder when 393942 is divided by 117?
3
Calculate the remainder when 4302 is divided by 47.
25
Calculate the remainder when 113406 is divided by 127.
122
What is the remainder when 603785 is divided by 31?
29
What is the remainder when 2066 is divided by 176?
130
What is the remainder when 320177 is divided by 101?
7
Calculate the remainder when 377275 is divided by 350.
325
What is the remainder when 33724 is divided by 167?
157
Calculate the remainder when 286 is divided by 76.
58
Calculate the remainder when 1033345 is divided by 12.
1
Calculate the remainder when 1447 is divided by 55.
17
What is the remainder when 37650 is divided by 4702?
34
What is the remainder when 11084 is divided by 222?
206
Calculate the remainder when 807 is divided by 804.
3
What is the remainder when 11135 is divided by 5560?
15
Calculate the remainder when 54188 is divided by 27076.
36
Calculate the remainder when 16644 is divided by 1038.
36
What is the remainder when 2839 is divided by 940?
19
Calculate the remainder when 614 is divided by 62.
56
What is the remainder when 138924 is divided by 30?
24
What is the remainder when 62322 is divided by 318?
312
What is the remainder when 1228 is divided by 211?
173
Calculate the remainder when 2397780 is divided by 26.
8
What is the remainder when 1614 is divided by 417?
363
What is the remainder when 11119 is divided by 15?
4
Calculate the remainder when 1139 is divided by 36.
23
What is the remainder when 2800 is divided by 240?
160
Calculate the remainder when 18035 is divided by 1639.
6
Calculate the remainder when 21816 is divided by 22.
14
What is the remainder when 364256 is divided by 52?
48
Calculate the remainder when 162114 is divided by 9.
6
What is the remainder when 120989 is divided by 13?
11
Calculate the remainder when 440 is divided by 48.
8
What is the remainder when 14234 is divided by 4736?
26
Calculate the remainder when 248700 is divided by 9.
3
What is the remainder when 842 is divided by 10?
2
Calculate the remainder when 9696 is divided by 311.
55
What is the remainder when 10253 is divided by 1277?
37
Calculate the remainder when 15332 is divided by 66.
20
Calculate the remainder when 50622 is divided by 25303.
16
Calculate the remainder when 164081 is divided by 6077.
2
Calculate the remainder when 7468 is divided by 3177.
1114
What is the remainder when 26403 is divided by 8780?
63
Calculate the remainder when 265507 is divided by 18.
7
What is the remainder when 93655 is divided by 35?
30
Calculate the remainder when 56383 is divided by 35.
33
Calculate the remainder when 36686 is divided by 1528.
14
What is the remainder when 1869 is divided by 108?
33
Calculate the remainder when 41182 is divided by 463.
438
What is the remainder when 64403 is divided by 6?
5
Calculate the remainder when 36634 is divided by 1362.
1222
Calculate the remainder when 20682 is divided by 15.
12
Calculate the remainder when 41493 is divided by 29.
23
What is the remainder when 44615 is divided by 357?
347
Calculate the remainder when 613 is divided by 533.
80
Calculate the remainder when 29655 is divided by 25.
5
Calculate the remainder when 212733 is divided by 106352.
29
What is the remainder when 90017 is divided by 219?
8
Calculate the remainder when 1992 is divided by 880.
232
Calculate the remainder when 4635 is divided by 20.
15
What is the remainder when 1053672 is divided by 17?
12
Calculate the remainder when 81712 is divided by 20424.
16
Calculate the remainder when 2637 is divided by 2626.
11
Calculate the remainder when 2278370 is divided by 119.
115
What is the remainder when 341160 is divided by 268?
264
Calculate the remainder when 21704 is divided by 482.
14
What is the remainder when 15312 is divided by 1635?
597
Calculate the remainder when 14158 is divided by 392.
46
Calculate the remainder when 364 is divided by 27.
13
What is the remainder when 3401 is divided by 3356?
45
What is the remainder when 3647 is divided by 450?
47
What is the remainder when 5671 is divided by 14?
1
Calculate the remainder when 853 is divided by 750.
103
What is the remainder when 9527 is divided by 27?
23
What is the remainder when 1266326 is divided by 406?
12
Calculate the remainder when 452029 is divided by 224.
221
What is the remainder when 413 is divided by 44?
17
Calculate the remainder when 2123 is divided by 548.
479
Calculate the remainder when 128916 is divided by 44.
40
What is the remainder when 6774 is divided by 77?
75
What is the remainder when 260 is divided by 154?
106
What is the remainder when 6328 is divided by 38?
20
Calculate the remainder when 696982 is divided by 452.
450
What is the remainder when 75600 is divided by 306?
18
What is the remainder when 11124 is divided by 89?
88
Calculate the remainder when 9135 is divided by 15.
0
What is the remainder when 406730 is divided by 101677?
22
Calculate the remainder when 641424 is divided by 5831.
14
What is the remainder when 19043 is divided by 87?
77
Calculate the remainder when 441331 is divided by 1298.
11
What is the remainder when 9527 is divided by 3143?
98
Calculate the remainder when 20718 is divided by 471.
465
What is the remainder when 28114 is divided by 9?
7
Calculate the remainder when 56283 is divided by 18752.
27
Calculate the remainder when 6345 is divided by 528.
9
Calculate the remainder when 7535 is divided by 22.
11
What is the remainder when 404717 is divided by 20?
17
What is the remainder when 5786 is divided by 1422?
98
What is the remainder when 183697 is divided by 3011?
26
What is the remainder when 2050 is divided by 547?
409
Calculate the remainder when 4265 is divided by 158.
157
What is the remainder when 951014 is divided by 44?
42
Calculate the remainder when 14482 is divided by 7240.
2
What is the remainder when 10786 is divided by 142?
136
What is the remainder when 179349 is divided by 19927?
6
What is the remainder when 28478 is divided by 1672?
54
Calculate the remainder when 5142 is divided by 61.
18
What is the remainder when 45170 is divided by 90?
80
What is the remainder when 7908 is divided by 502?
378
What is the remainder when 49546 is divided by 35?
21
What is the remainder when 299552 is divided by 1026?
986
Calculate the remainder when 2523 is divided by 1257.
9
Calculate the remainder when 4138 is divided by 970.
258
What is the remainder when 65776 is divided by 198?
40
Calculate the remainder when 856 is divided by 114.
58
Calculate the remainder when 7263 is divided by 2369.
156
Calculate the remainder when 15253 is divided by 2160.
133
Calculate the remainder when 642968 is divided by 2820.
8
Calculate the remainder when 13557 is divided by 57.
48
What is the remainder when 10666 is divided by 68?
58
Calculate the remainder when 4043 is divided by 478.
219
What is the remainder when 38681 is divid | {
"pile_set_name": "DM Mathematics"
} |
dps.
-162
Let f = 33701500 - 33701458.9999924. Let k = 0.094 - 41.094. Let c = k + f. What is c rounded to six dps?
0.000008
Let q = 852.487 - 852. Let f = q - 0.48696112. What is f rounded to 6 decimal places?
0.000039
Let y = 722454 - 722512.00048. Let h = y + 58. Round h to 3 decimal places.
0
Let f = -30646 + 13797. Let d = f - -86849. What is d rounded to the nearest ten thousand?
70000
Let k = 1031550 + -729750. Round k to the nearest 100000.
300000
Let t = 3.319049058 - 3.319. What is t rounded to 7 decimal places?
0.0000491
Let b = 8947 - 8971.864. What is b rounded to one decimal place?
-24.9
Let p = 0.13107 + -44.21307. Let n = -35.5 - 8.5. Let k = n - p. What is k rounded to 2 decimal places?
0.08
Let v = -40.222 + -2.588. What is v rounded to the nearest ten?
-40
Suppose 5*r = -b + 289157716, 57831544 = -0*r + r + b. Suppose 18*i + 11895543 - r = 0. Round i to the nearest one hundred thousand.
2600000
Let h = 184 - 183. Let k(n) = 52399999*n**2 + 13*n - 12. Let s be k(h). Round s to the nearest one million.
52000000
Let a = -7623432.00069 - -7623191. Let q = 241 + a. What is q rounded to four dps?
-0.0007
Let j = -253 + 723. Let t = 795 - j. Let c = -324.9999649 + t. Round c to 6 dps.
0.000035
Let w = -352.9522 - 0.0478. Let a = w - -352.9999988. Round a to seven decimal places.
-0.0000012
Let o = 436.49 - 509.837. Round o to zero dps.
-73
Let n = 24816 - 24823.7815. Round n to 1 decimal place.
-7.8
Let x = 9.775 + -1.945. Let p = 6.9 - x. Let a = p + 0.99. Round a to two dps.
0.06
Let u = -189.66 + 189.6611889. Round u to 4 dps.
0.0012
Let v = 124 + -117.4. Let x = -36104129.4000156 + 36104136. Let j = x - v. What is j rounded to 5 dps?
-0.00002
Let d = -0.331 + 354.331. Let f = 353.214 - d. What is f rounded to one decimal place?
-0.8
Suppose -x + 19038 = -103057. Suppose 0 = -4*s + 2277905 + x. Suppose -7*d = -3*d + s. What is d rounded to the nearest 100000?
-200000
Let s = -110 + 289.4. Let k = s - 179.402922. Round k to 4 dps.
-0.0029
Let w = -1.68 - -1.67. Let a = 0.01000101 + w. Round a to seven decimal places.
0.000001
Let j be ((-10)/(-25))/((-3)/(-240)). Suppose 11*l - 441000 = j*l. Round l to the nearest ten thousand.
-20000
Let g = 789418391022 + -789418392326.000000733. Let s = 1304 + g. Round s to six decimal places.
-0.000001
Let r = -806 + 1440. Let f be (6024 + -24)/((-1898)/r + 3). What is f rounded to the nearest 100000?
1000000
Let s = 172.359 - 0.359. Let v = s - 171.99999938. Round v to seven dps.
0.0000006
Let p = -28196.4175 + 28196. Round p to 1 decimal place.
-0.4
Let q(t) = -t**2 - 23*t - 73. Let h be q(-13). Let d be (38/h)/(4/1014). Round d to the nearest one hundred.
200
Let y = -94.944 - 0.756. Let s = 108.68 + y. What is s rounded to zero decimal places?
13
Let w = -109 - -25. Let j = w - -79.1. Let z = -4.89822 - j. Round z to four decimal places.
0.0018
Let v = -23.7 - 0.3. Let u = 23.83 + v. Let i = 0.1700004 + u. What is i rounded to 6 decimal places?
0
Let j = -83.5 - -83.877. Let p = j - 0.899. What is p rounded to 1 decimal place?
-0.5
Suppose -4*k - 5 - 11 = 0, 85 = 5*z + 5*k. Let v(m) = -z*m**3 + 15*m**3 - 14 + 5*m**2 + 9*m + 11*m**2. Let a be v(-18). What is a rounded to the nearest 10000?
40000
Let n = -1133 - -6965. Let g = 5832.28036 - n. Let r = g + -0.28. Round r to four dps.
0.0004
Let k = -394.815 - -322.1. Let y = k - -72. What is y rounded to two dps?
-0.72
Let f = -0.022 + 0.122. Let y = -0.5 + -0.2. Let b = f + y. What is b rounded to zero dps?
-1
Let y = 121.2 - 121.1870008. Let j = 3.2 + -3.213. Let t = j + y. What is t rounded to seven decimal places?
-0.0000008
Let c be (-476)/85*(-106430)/1. Let o be (-8 + c)/(4/(-10)). Round o to the nearest 100000.
-1500000
Let l = -0.207 + -0.1008. Let k = l + 0.30777313. What is k rounded to 5 dps?
-0.00003
Let c = 135.96111 - 135.319. Round c to 2 dps.
0.64
Let w(u) be the second derivative of 1/3*u**4 + 1/6*u**3 - 39063/10*u**5 - 24*u + 0 - 2*u**2. Let d be w(4). What is d rounded to the nearest 1000000?
-5000000
Let y = -4589015856311 - -4589015854179.999998487. Let j = y - -2131. Round j to 7 decimal places.
-0.0000015
Let p = 1422 + -720. Let h = p - -433. Let v = 1135.00000553 - h. Round v to 7 decimal places.
0.0000055
Let q = 2.075 - 0.574. Let i = 1.500999089 - q. Round i to seven decimal places.
-0.0000009
Let s = -3345.3672 - -3.2672. Round s to the nearest 100.
-3300
Suppose 0*u - m = -3*u + 1, 0 = -u - 4*m - 4. Suppose u = 3*f - 4 + 1. Let h be (f - -14)/((-6)/480*6). Round h to the nearest ten.
-200
Let j = 1373 + -1372.31. Let u = 5.4712 - 6.161096. Let w = u + j. What is w rounded to 5 dps?
0.0001
Let k = -86347 + 86370.4134. What is k rounded to the nearest integer?
23
Let o = 154028.0000099707 - 154028. Round o to six decimal places.
0.00001
Suppose 5*b = 3*u + 1, -5*u + b = -4*u - 1. Suppose -2*f = -5*x + 3*f - 377495, 0 = u*x - f + 226499. What is x rounded to the nearest ten thousand?
-80000
Let j = -12.350473 + 12.344. Round j to four decimal places.
-0.0065
Let y = 413.4 + -413.399271. What is y rounded to four decimal places?
0.0007
Let w = -0.067453039 + 0.06746. What is w rounded to 6 decimal places?
0.000007
Suppose 5*g + w - 180639 + 1793894 = 0, 0 = -g + 5*w - 322625. Let i be 8/3*g/36. What is i rounded to the nearest 1000?
-24000
Let m = -278548.183 + 278752. Let o = 204 - m. Let l = 0.1830087 - o. What is l rounded to six dps?
0.000009
Let o = -1.6759 - 1020.4241. Let s = -1081 - o. Round s to the nearest ten.
-60
Suppose 501 = 4*j - a + 132, -4*a + 198 = 2*j. Let t = j + 13. Round t to the nearest ten.
110
Let y = -3577 - -3577.02583. What is y rounded to 3 decimal places?
0.026
Let n(w) = 3*w - 21. Let u be n(4). Let y = 13 + u. Suppose y*q + 2725 = -1155. What is q rounded to the nearest 100?
-1000
Let v = -1624.398 - -1777.3946. Let c = v + -153. Round c to three dps.
-0.003
Let y = 4671.999999432 - 4672. What is y rounded to 7 dps?
-0.0000006
Let i = 16.08 - 3.6. Let j = 18 - i. Round j to 1 dp.
5.5
Let t = -0.027924 + 0.16085. What is t rounded to three decimal places?
0.133
Let z = 9076 - 9075.647. Round z to two dps.
0.35
Let u = 122.2 - 76. Let f = -63.9 + -0.1. Let c = u + f. Round c to zero decimal places.
-18
Let j = 16.41948 - -11.8858. Let x = j - 28.3. What is x rounded to three decimal places?
0.005
Suppose 3*f - 57 = -4*l + 10, 60 = 3*f - 3*l. Suppose f*i = -1833 + 12333. What is i rounded to the nearest ten thousand?
0
Let a = -137097 + 137096.939909. Let y = -1.94 - -2. Let v = a + y. Round v to five dps.
-0.00009
Let q = 9332.99112 - 9333. Round q to two decimal places.
-0.01
Let k = -28185.03 - -28184. Let g = 0.122 + -1.052. Let y = k - g. Round y to the nearest 10.
0
Let n = -157464 - -415412. Suppose 5*x = -x + 462312. Let l = n + x. What is l rounded to the nearest ten thousand?
340000
Let n be -2164137 + (12/2)/(-2). Suppose -3*f - 23471711 = -2*h, -5*f - 24023932 = -4*h + 22919493. Let o = n - h. Round o to the nearest one million.
-14000000
Let s = -0.05 - 3.7. Let z = s - -7.671. Let c = z + -4. What is c rounded to 2 decimal places?
-0.08
Let s = 857763 - 471238. Suppose -27*q = -s - 431575. Round q to the nearest one thousand.
30000
Let f(x) = x**3 + 10*x**2 + 8*x - 7. Let c be f(-9). Let n be (-21)/147 - (121458/(-7) - c). Let u = -1347 - n. What is u rounded to the nearest one thousand?
-19000
Let s(k) = -1353556*k + 136. Let b be s(56). What is b rounded to the nearest one million?
-76000000
Let o = 0.2272 - 0.147. Let v = o + -0.079651. What is v rounded to 5 decimal places?
0.00055
Let i = 120.947 + -121. Let n = i + 0.09. Let t = n + -0.03700073. Round t to seven dps.
-0.0000007
Let c = -274 + 271.146. What is c rounded to the nearest integer?
-3
Let a = 20.2 - -0.5. Let t = 108.3 + a. Let j = t + -129.000114. What is j rounded to five decimal places?
-0.00011
Let b = -203588.71211 + 203587. Round b to 2 decimal places.
-1.71
Suppose -21*v - 72 = -39*v. Suppose -5*w = 3*c + 913015, 4*c + 182620 = v*w - 5*w. Round w to the nearest 100000.
-200000
Suppose 0 = 5*h - 4*k + 14746859, 0*h + 3*k - 8848116 = 3*h. Let m = h - -4979371. Round m to the nearest 100000.
2000000
Let k = 747 - 309. Let s = -438.74 + k. What is s rounded to one dp?
-0.7
Let m = -222.54 + 222.540 | {
"pile_set_name": "DM Mathematics"
} |
that v(g) = 0.
-196, 0, 2
Let s(d) be the third derivative of d**6/36 + 5*d**5/8 - 5*d**4/3 - 37*d**3/2 - 36*d**2 + 4. Let n(u) be the first derivative of s(u). Factor n(t).
5*(t + 8)*(2*t - 1)
Let c = 371583 + -1857813/5. Find b, given that 9*b**4 + 24/5*b + c*b**3 + 7/5*b**5 + 0 + 92/5*b**2 = 0.
-2, -3/7, 0
Let f = -55572 - -722438/13. Let -4/13*t - f - 2/13*t**2 = 0. What is t?
-1
Let a = 198 - 60. Factor 142*d**5 + 12*d**2 - 10*d**2 - 26*d**2 - a*d**5 - 28*d**3.
4*d**2*(d - 3)*(d + 1)*(d + 2)
Let z(q) be the third derivative of q**6/195 - 11*q**5/130 + 14*q**4/39 - 4*q**3/13 - 1788*q**2. Find s, given that z(s) = 0.
1/4, 2, 6
Let m(k) be the second derivative of -k**4/18 - 38*k**3/3 + 117*k**2 + 3036*k - 2. Factor m(s).
-2*(s - 3)*(s + 117)/3
Let g = 705/3322 - -16/151. Let i = g - -5/22. Factor 4/11*v + 2/11*v**3 - i*v**2 + 0.
2*v*(v - 2)*(v - 1)/11
Determine k, given that -2*k**3 - 4*k**2 + 61*k**2 - 3*k**2 - 792*k + 1171 + 58*k**2 - 19 = 0.
2, 6, 48
Let p(k) be the second derivative of k**5/70 - 97*k**4/21 - 1600*k**3/21 - 3232*k**2/7 + 4*k - 102. Suppose p(s) = 0. What is s?
-4, 202
Let z(q) = 11*q - 484. Suppose 6*k - 10*k + 152 = 3*c, 3*c + k - 137 = 0. Let a be z(c). Factor a*j**2 + 0 + 8/9*j - 2/9*j**3.
-2*j*(j - 2)*(j + 2)/9
Let s(u) = -63*u - 5. Let m be s(1). Let i = 69 + m. Find k, given that -4 + i + k**2 + 2 = 0.
-1, 1
Let r(q) be the third derivative of -q**7/140 + 17*q**6/360 + 11*q**5/90 - 17*q**4/18 - 8*q**3/9 + 2018*q**2. Find d, given that r(d) = 0.
-2, -2/9, 2, 4
Determine n, given that 27/4*n**2 - 3/4*n**4 - 1/4*n**5 + 0*n + 9/4*n**3 + 0 = 0.
-3, 0, 3
Let k = 23 + -19. Suppose 15 = 9*t - k*t. Factor 3*x - 13*x**2 + 3*x**3 + 0*x**t + 7*x**2.
3*x*(x - 1)**2
Suppose 265 = 2*i + 255. Let s(r) be the second derivative of -33*r + 0 + 0*r**3 + 1/30*r**i + 0*r**2 + 2/9*r**4. Factor s(v).
2*v**2*(v + 4)/3
Let m(n) = -7*n + 150. Let r be m(15). Suppose -240 = -51*x + r*x. Suppose 60*z**2 - x*z**3 - 40*z + 25/2*z**4 + 8 - 3/2*z**5 = 0. Calculate z.
1/3, 2
Let u(a) be the first derivative of a**6/24 + 19*a**5/20 + 103*a**4/16 + 121*a**3/12 - 13*a**2 - 35*a - 13621. Suppose u(m) = 0. What is m?
-10, -7, -2, -1, 1
Let u be (-6)/(-14) - 106*5/(-70). Suppose 8 = 10*c - u*c. Factor 210*n**3 - 83*n**3 + 4*n**5 + 16*n**c - 103*n**3 + 16*n**2 + 4*n.
4*n*(n + 1)**4
Let x(h) be the second derivative of h**5/6 + 713*h**4/18 - 286*h**3/9 + 2*h + 5392. Determine j so that x(j) = 0.
-143, 0, 2/5
Let r(h) = 4*h**3 + 40*h**2 + 30*h. Let c(w) = -w. Let s = -359 + 360. Let t(n) = s*r(n) - 6*c(n). Factor t(p).
4*p*(p + 1)*(p + 9)
Let -4/5*d**2 + 3908/5 + 3904/5*d = 0. Calculate d.
-1, 977
Let x = -51/29 - -3701/2088. Let h(v) be the second derivative of -18*v + 0 + x*v**4 + 3*v**2 - 1/3*v**3. Let h(t) = 0. What is t?
6
Let b(w) be the third derivative of -1/35*w**7 - 1/4*w**4 + 2*w**2 + 0*w - 1/84*w**8 + 3/20*w**6 - 8 + 0*w**3 - 1/30*w**5. Solve b(u) = 0.
-3, -1/2, 0, 1
Suppose 3*w + 10788 = 32*w. Let c = -369 + w. Factor 3/7*g**c + 27/7 + 3*g**2 + 45/7*g.
3*(g + 1)*(g + 3)**2/7
Factor 7562500/7 + 11000/7*v + 4/7*v**2.
4*(v + 1375)**2/7
Let n(q) be the third derivative of -1/15*q**5 + 0 + 10*q**3 + 0*q + 1/3*q**4 - 174*q**2. Suppose n(d) = 0. What is d?
-3, 5
Suppose 4*v - 12*v = -32. Suppose 4 = -m, 3*t - 2*m - 3*m - 35 = 0. Factor 5*a**5 + a**v - a**t - 13*a**5 + 8*a**5.
-a**4*(a - 1)
Let f = 704 + -702. Let h be (-14)/f + (10 - 3). Factor 4/11*m**2 - 2/11*m**5 + 0*m + 0 + h*m**4 + 6/11*m**3.
-2*m**2*(m - 2)*(m + 1)**2/11
Let y(n) = 23*n + 5. Let v be ((-48)/(-4))/3 + -3. Let u be y(v). What is z in -u*z**5 - 244*z**4 - 201*z - 348*z**3 + 820*z**2 + 75*z - 74*z = 0?
-5, 0, 2/7, 1
Let v(w) be the first derivative of -3*w**5/20 - 39*w**4/4 - 507*w**3/2 - 6591*w**2/2 - 54*w + 1. Let r(f) be the first derivative of v(f). Factor r(d).
-3*(d + 13)**3
Let i(o) = 4*o**2 + 512*o - 1876. Let w(l) = -l**2 - 103*l + 375. Let y(k) = 3*i(k) + 16*w(k). Factor y(z).
-4*(z - 3)*(z + 31)
Let l(v) = -41*v**2 - 11657*v - 1976548. Let w(s) = -13*s**2 - 3866*s - 658849. Let t(j) = 4*l(j) - 13*w(j). Solve t(d) = 0.
-363
Let t(v) be the second derivative of v**6/540 + 13*v**5/90 + 4*v**4/3 - 47*v**3 - 233*v. Let j(d) be the second derivative of t(d). What is a in j(a) = 0?
-24, -2
Let z be 22*5/(-4)*171/(-57). Suppose -90 + z*r + 5/2*r**3 - 25*r**2 = 0. What is r?
3, 4
Let c(u) = -7*u**5 + 5*u**4 - 8*u**3 + 20*u**2 - 8*u. Let g(p) = -8*p**5 + 6*p**4 - 7*p**3 + 24*p**2 - 9*p. Let d(x) = -9*c(x) + 8*g(x). Factor d(y).
-y**2*(y - 6)*(y + 1)*(y + 2)
Let k(v) be the second derivative of v**4/114 + 184*v**3/19 + 76176*v**2/19 + 154*v + 1. Determine z so that k(z) = 0.
-276
Let w(b) = -b**2 + 4*b. Suppose o = 4*o - 4*o. Suppose 11*v + 10 + 45 = o. Let u(c) = c**2 - 5*c + 1. Let l(x) = v*w(x) - 4*u(x). Factor l(s).
(s - 2)*(s + 2)
Let x(i) be the first derivative of 3*i**5/5 + 15*i**4/2 - 61*i**3 - 105*i**2 + 2106. Find b such that x(b) = 0.
-14, -1, 0, 5
Solve 37/5*p**3 + 9/5*p + 2/5*p**5 + 33/5*p**2 + 3*p**4 + 0 = 0.
-3, -1, -1/2, 0
Let b(f) = f**2 + 5*f - 4. Let o be b(-6). Let k(g) = g**3 + 19*g**2 + 74*g - 51. Let s be k(-13). Find d, given that s - 8*d - 11 + 0*d**2 + 2*d**o = 0.
-1, 5
Let k(n) be the second derivative of -n**7/189 + n**6/5 - 971*n + 1. Solve k(w) = 0.
0, 27
Let f(r) be the second derivative of 18*r - 1/42*r**4 + 10/7*r**3 + 0 - 225/7*r**2. Solve f(i) = 0 for i.
15
Let r be 23/69*(-594)/(-1). Let m = 399/2 - r. Find w such that -3/2*w**4 + m*w**3 + 3 + 9/2*w**2 - 15/2*w = 0.
-2, 1
Let t(c) be the first derivative of 9*c**5/5 - 119*c**4/4 + 26*c**3/3 + 10872. Factor t(u).
u**2*(u - 13)*(9*u - 2)
Let y(v) be the third derivative of v**5/15 + 161*v**4/3 + 2*v**2 - 194*v. Let y(s) = 0. What is s?
-322, 0
Let y = -31682 - -31687. Let a(t) be the third derivative of -7/2*t**3 + 0 - 9/20*t**y - 1/40*t**6 - 12*t**2 - 15/8*t**4 + 0*t. Factor a(o).
-3*(o + 1)**2*(o + 7)
Let h(y) be the third derivative of -y**5/20 - 11*y**4 + 89*y**3/2 - 6799*y**2. Factor h(a).
-3*(a - 1)*(a + 89)
Let c = 1061067/5 - 211983. Solve -2/5*x**4 - c + 88/5*x**2 - 8/5*x**3 + 192/5*x = 0.
-6, 4
Let k(z) be the third derivative of -z**9/756 - z**8/140 - z**7/70 - z**6/90 - z**3/3 - 3*z**2 + 5. Let q(j) be the first derivative of k(j). Factor q(l).
-4*l**2*(l + 1)**3
Let n = -99551/94 + -115/47. Let x = n - -1064. Determine w, given that x*w + 5/2*w**3 - 5*w**2 + 0 = 0.
0, 1
Let h(i) be the first derivative of -1/35*i**5 + 2*i + 0*i**2 + 0*i**3 + 1/42*i**4 - 1/35*i**6 + 1. Let d(t) be the first derivative of h(t). Factor d(l).
-2*l**2*(l + 1)*(3*l - 1)/7
Let o(v) be the second derivative of 5/12*v**4 + 36*v + 1/12*v**5 + 0*v**3 + 12*v**2 - 1/24*v**6 + 0. Let f(n) be the first derivative of o(n). Factor f(d).
-5*d*(d - 2)*(d + 1)
Let u = 233 + -228. Let h(r) = -8*r**4 - 24*r**3 - 16*r**2 - 5*r. Let d(v) = -12*v**4 - 36*v**3 - 24*v**2 - 8*v. Let o(q) = u*d(q) - 8*h(q). Factor o(z).
4*z**2*(z + 1)*(z + 2)
Let w(b) be the third derivative of 5/24*b**6 + 0*b - 14*b**2 + 153/8*b**4 - 289/6*b**3 - 13/4*b**5 + 0. Find a, given that w(a) = 0.
1, 17/5
Find u such that 43/3*u - 8*u**2 + 2/3 + 22/3*u**4 - 43/3*u**3 = 0.
-1, -1/22, 1, 2
Suppose -2*b + b - 2*a = -8, 5*b = 4*a + 12. Let i = b + 19. Factor i*s**2 + 8*s**4 - 6*s - 13*s**3 - s**2 - 13*s**3 + 2*s.
2*s*(s - 2)*(s - 1)*(4*s - 1)
Let b(c) = c**2 + 12*c + 6. Let q be b(-5). Let s = 45 + q. Factor -s - 29*d + 4*d**3 + 10*d - 8*d**2 - 9*d.
4*(d - 4)*(d + 1)**2
Suppose -170*f - 229*f + 1596 = 0. Let m(b) be the second derivative of 1/5*b**3 + 0*b**2 - 14*b + 0 + 1/50*b**5 + 2/15*b**f. Factor m(c).
2*c*(c + 1)*(c + 3)/5
Let h(s) = -81*s + 129. Let l be h(-11). What is u in 15*u**3 + l*u**4 - 510*u**4 - 505*u**4 = 0?
-3, 0
Let n(d) be the first derivative of d**5/270 + d**4/108 - 2*d**3/27 - 9*d**2/2 - 2*d + 44. Let u(s) be the second derivative of n(s). Factor u(m).
2*(m - 1)*(m + 2)/9
Let k(u) = 6*u**2 - 6*u. Let x(d) = 12 - 46 + 15 + d**2 + 6 + 12. Let q = 6 - 3. Let j(g) = q*x(g) - k(g). Solve j(l) = 0.
1
What is o in 9*o**4 - 118*o + o - 75*o - 106*o**3 + 8*o**4 + 64 - 2*o**5 + 212*o**2 + 7*o**4 = 0?
1, 2, 4
Let p(v) = 21*v + 37. Let o(j) = -50*j - 92. Let x(i) = -5*o(i) - 12*p(i). Let d be x(8). Factor 1/2*k**2 - 1/2*k**4 + 1/4*k**5 - 1/4*k | {
"pile_set_name": "DM Mathematics"
} |
-2 + (1 + -1 - 4). Let g be f*(-4)/((-12)/(-9)). Suppose 0 = -3*k - g + 3. Sort -1/2, k, 4.
k, -1/2, 4
Let x(z) = 5*z - 3*z - z. Let h be 3/(-6)*2/(-1). Let f be x(h). Put 0, -2, f in decreasing order.
f, 0, -2
Let y = -2 + 2.02. Let w = 1.02 - y. Sort -3/7, -2/3, w.
-2/3, -3/7, w
Let b be -6*(-1 + ((-126)/16)/(-9)). Put 0.2, -3/2, b, -5/4 in descending order.
b, 0.2, -5/4, -3/2
Suppose -27*i = -33*i. Put 3/5, -2, i, 1/4 in increasing order.
-2, i, 1/4, 3/5
Let j be 1/(2/8*2). Suppose -j*h + 4*q + 6 = 0, 1 = 2*h + 3*q + 2. Sort 3, -2, h in decreasing order.
3, h, -2
Let w = 45 + -44.1. Sort 2, w, -4, -0.2 in decreasing order.
2, w, -0.2, -4
Let x(c) = -c**2 - 4*c + 9. Let m be x(-6). Sort 5, m, 4, -4 in decreasing order.
5, 4, m, -4
Let f be ((2/(-3))/(-2))/((-6)/(-90)). Put 1, 20, -1, f in decreasing order.
20, f, 1, -1
Let y = -0.06 + 0.06. Let c = -0.1 - -0.2. Put y, c, -0.2 in increasing order.
-0.2, y, c
Let s = 2.9 - 0.2. Let d = -0.3 - s. Let y = -130 + 126. Put y, d, 1 in descending order.
1, d, y
Let j = 3 + -26. Sort 5, -0.5, j.
j, -0.5, 5
Let y = 15 - 17. Let x(b) = -b + 6. Let r be x(0). Let z be (-5)/(-3) + r/(-9). Sort z, y, -1 in increasing order.
y, -1, z
Let i(f) = -f - 3. Let k be i(-7). Put -3, k, 2 in increasing order.
-3, 2, k
Let c = 6.4 + -3.4. Sort 0.4, c, -2/11, 1 in descending order.
c, 1, 0.4, -2/11
Suppose 4*i - 8*i = 0. Sort -5, i, -2 in decreasing order.
i, -2, -5
Let l = 2 - -4. Let d(f) = -f**2 + 6*f - 3. Let z be d(l). Sort 4, 5, z in descending order.
5, 4, z
Let h = -0.9 + -3.1. Put 0.4, 4, h in decreasing order.
4, 0.4, h
Let b = -10.7 - -7.7. Let f = 2.9 + -3. Put 1, b, f in descending order.
1, f, b
Let f(o) = -2*o + 17. Let p be f(10). Sort 5, 6, p in descending order.
6, 5, p
Let k(u) = -3*u - 12. Suppose p + 5 = -3. Let t be k(p). Suppose 0 = 2*c - 4*c + t. Put 5, -3, c in descending order.
c, 5, -3
Let j = -4.1 - -0.7. Let p = j + 1.4. Put -0.1, p, -1 in decreasing order.
-0.1, -1, p
Let d = 1.6 + -1.1. Sort d, 2, 6/13.
6/13, d, 2
Let p = 0.19 + 3.81. Sort 0, p, 0.4 in decreasing order.
p, 0.4, 0
Let k = -9.117 - -0.117. Sort -4, 0, -2/3, k in decreasing order.
0, -2/3, -4, k
Let s = -25 - -24.5. Let p = 0.3 - 0.1. Let d = p - 0.6. Sort s, d, 0.1.
s, d, 0.1
Let h = 10 + -6. Let a = -757 - -756. Let v be (0 + 0)/((-3)/(-3)). Sort a, h, v in descending order.
h, v, a
Let u be (-3)/(-6*2/(-16)). Let h = 7 + u. Sort -3, h, -5 in decreasing order.
h, -3, -5
Suppose 24 = 5*p - 4*l, 0 = -p - 3*l - l. Let s = -7 - -5. Put -3, s, p in ascending order.
-3, s, p
Let s = -15.1 - -15.2. Put s, -0.2, -2/9, 3/7 in decreasing order.
3/7, s, -0.2, -2/9
Let c = 6 - 13. Suppose -i + 0*i = -6. Let w = c + i. Sort 0, w, 4.
w, 0, 4
Let p = -0.5 - -0.5. Let q = -0.06 + -7.94. Let r = 3 + q. Put p, 0.1, r in ascending order.
r, p, 0.1
Suppose 2*z - 34 = -0*z. Suppose -z = 3*l + 25. Let r be l/(-36) + (-6)/27. Sort 5, -2/11, r.
-2/11, r, 5
Let z = -0.04 - -0.02. Suppose 2*q - 6 + 0 = 0. Put 0, q, z in ascending order.
z, 0, q
Let n = -17 + 20. Sort 4, n, 0 in decreasing order.
4, n, 0
Let k = -2.95 + 3. Let v = k - 5.85. Let y = 6 + v. Put y, -4/7, -0.5 in ascending order.
-4/7, -0.5, y
Suppose -5*o + h = 8, 3*o = o - 4*h - 12. Let r = 4 + o. Let b = -1 - -6. Put b, r, -5 in descending order.
b, r, -5
Suppose 0 = 3*k + 3*m, -5*m - 2 = 4*k - 0*m. Suppose -4*w = -4*a - 8, -k*a + 7*a - w = -14. Suppose 4*t = -0*t. Sort t, 3, a in descending order.
3, t, a
Let y = 0.3 - 0.8. Let u = 0 + 0.5. Sort y, -2, u in increasing order.
-2, y, u
Let l = 3 - -5. Let j = -3 + l. Let i be 5/10 - (-33)/(-42). Sort i, -1, j in increasing order.
-1, i, j
Let f(n) = -n**2 - 9*n - 5. Suppose -5*q + 4 = -2*p - 2*q, -24 = 2*p + 2*q. Let d be f(p). Let g be 0/(1/d*3). Put -1, g, -5 in increasing order.
-5, -1, g
Let p(n) = -n**2 + 5*n + 5. Let h be p(5). Suppose 5*u = -3*l + 2*l - 16, -h*u = -5*l + 40. Put u, 0.3, -1 in descending order.
0.3, -1, u
Suppose 5*m - 15 = 0, -j - 2*m + 3 - 1 = 0. Let c be 46/14 - j/(-14). Suppose -4*n = -9*n + 25. Put c, n, 2 in decreasing order.
n, c, 2
Suppose 3*f + 3 = -12. Put 2, f, 4 in increasing order.
f, 2, 4
Let g = 6 + -5.98. Let q = g - 0.12. Let b = -3 + 7. Sort q, 1/8, b in decreasing order.
b, 1/8, q
Let g = -23.7 + 25. Let b = g + -0.3. Suppose 0*f = -f. Sort 5, f, b in descending order.
5, b, f
Let u = 5.6 + -6. Let a = -14 - -13.65. Let d = 0.05 - a. Sort -0.1, d, u in descending order.
d, -0.1, u
Suppose -3*j + j = 0. Suppose h - 3*t - 14 = j, -4*h - 2*t = 2*t + 8. Put 3, h, 0.2 in increasing order.
0.2, h, 3
Let z(t) = -4*t**2. Let b be z(1). Let u(v) = -v**2 - 6*v - 3. Let a be u(-4). Suppose -3*i + 2 = -4*i. Sort a, b, i in decreasing order.
a, i, b
Let z = -6.2 - -0.2. Let t = 16 + -6. Let s = z + t. Put s, 3/2, -3 in decreasing order.
s, 3/2, -3
Suppose -3*u - 6 = 6. Let y be u/(-7) - (-160)/(-35). Let a = -3 + 1. Put 1, a, y in descending order.
1, a, y
Let w = -0.9 - -0.5. Let r = -0.2 + 0. Let o(j) = j + 2. Let z be o(-3). Sort w, r, z in ascending order.
z, w, r
Let f = -0.8 + 1. Let d = f - -0.8. Let u = 2/443 - -868/3987. Put u, 2, d in increasing order.
u, d, 2
Let r(s) = 5*s**2 - 5*s + 2. Let c be r(1). Put 5, -28, c in descending order.
5, c, -28
Let d be 6/21 + (-132)/21. Let l = -1 - d. Sort -3, l, -5 in descending order.
l, -3, -5
Let g(i) = i**3 + 6*i**2 + 6*i + 6. Let h be g(-5). Let k be 1/(-2)*2/h. Let y be (2/18)/(k/(-4)). Put -0.4, y, -1 in descending order.
y, -0.4, -1
Let a = 0 - 4. Let q(f) = 15*f - 43. Let d be q(3). Put a, 1, d in increasing order.
a, 1, d
Let c be 6/30 + 2/(-10). Sort c, -0.1, 2/5 in decreasing order.
2/5, c, -0.1
Let f = -1.1 - -1. Let a = -3.1 - -4. Let q = 2.1 + a. Put f, 4, q in decreasing order.
4, q, f
Let a = -76 + 75.57. Let c = -0.03 - a. Let r = 0.7 - -0.3. Put c, -5, r in decreasing order.
r, c, -5
Let v = 44/63 + -2/63. Put v, 0.4, 0.5, 2 in decreasing order.
2, v, 0.5, 0.4
Let t = -12 - -10. Sort -5, t, -3.
-5, -3, t
Suppose -42 = 10*k + 28. Sort k, 3, -5 in decreasing order.
3, -5, k
Let c(y) = -y**3 + 26*y**2 + 24*y + 64. Let l be c(27). Sort 2, 1, l, 5 in descending order.
5, 2, 1, l
Let w = -91/4 + 23. Let s = 1 - 1. Let p = s + 0. Sort 2, p, w in descending order.
2, w, p
Let m be (0/(-3) + 4)/(-1). Let f = m + 1. Sort -5, 0, f in ascending order.
-5, f, 0
Suppose 5*v - 16 = 3*x, -4*x = -0*v + 4*v - 32. Put x, -2, 5 in decreasing order.
5, x, -2
Suppose -j = -m, -4*m - 4*j = j - 18. Suppose -n = 4 - m. Let o(y) = -y**3 + 9*y**2 - 9*y + 7. Let l be o(8). Sort l, n, -4.
-4, n, l
Let f be (1/4)/(4/(-8)). Put 4, 0.2, f, -1/4 in decreasing order.
4, 0.2, -1/4, f
Suppose 0 = -2*q - 6*q - 16. Sort 31, 3, q in descending order.
31, 3, q
Let r = 1964/9 + -218. Sort 1/3, 0.3, 5, r in decreasing order.
5, 1/3, 0.3, r
Let k be ((-4)/(-6))/(12/(-54)). Let m be k + 288/(-2) + -2. Let r = -742/5 - m. Sort r, 4/3, -1 in descending order.
4/3, r, -1
Let p be 3 + 1 + 0/4. Let n = -0.3 + -0.2. Sort p, 2, n in decreasing order.
p, 2, n
Let h = 7 + -5. Suppose h*p = 10, -n + 2 = 4*p - 21. Suppose -n*q = -2*q. Sort -4, q, 3 in ascending order.
-4, q, 3
Let w be (2 - 3)/((-2)/(-4)). Suppose -3*j = 2*i - 14, -i + 17 = 3*j + j. Put -5, w, j in decreasing order.
j, w, -5
Let o = -5 + 0. Sort -2, 3, o.
o, -2, 3
Suppose -3*h + 4 = 19. Let w(u) = u**2 + 4*u - 7. Let k be w(h). Put 0, k, -4 in ascending order.
-4, k, 0
Let m = 387/308 - 1/154. Let t = -27 + 14. Let q = -18 - t. Sort q, m, 0 in increasing order.
q, 0, m
Let g = -0.92 + -0.08. Let p = -1.1 - g. Put p, 0, 5/6 in increasing order.
p, 0, 5/6
Let s = 77 - 72. Sort 0, -0.2, -1, s in decreasing order.
s, 0, -0.2, -1
Suppose 8*t - 3*t = 40. Suppose 3 = -3*k - 5*m, -k + m - 1 + t = 0. Let h = 0.2 - 0. Sort k, -2/3, h in decreasing order.
k, h, -2/3
Let w = -0.12 - -0.52. Sort 2/3, w, -1/11 in decreasing order.
2/3, w, -1/11
Let q = -8.5 + 9. Put q, -0.2, -11 in descending order.
q, -0.2, -11
Let i be (-1)/5 - (-84)/20. Suppose 4*u - 37 = -5. Suppose -5*r + 16 = -4*b + u*b, b - 11 = -3*r. Sort b, -3, i in increasing order.
-3, b, i
Let d = -2 - 1. Let w(v) = v - 10. Let k be w(5). Sort -1, k, d.
k, d, -1
Let d = -13 + 13. Suppose -3*w + 5 = 2*w. Put -4, d, w in decreasing order.
w, d, -4
Let o be (-20)/5*(-5)/(- | {
"pile_set_name": "DM Mathematics"
} |
t o(m) = 5226*m - 67936. Calculate the smallest common multiple of o(13) and (42/(-5))/(z/10).
42
Calculate the common denominator of -155/528 and (-2)/20 - (5/(-3600))/((-396)/(-24792)).
4752
Let s be ((-9)/6)/(-3)*2222. Suppose 0 = 2*t + 3841 - s. What is the common denominator of (2/18)/(-1)*t/10 and 46/11?
66
What is the least common multiple of 1*(14 - (-6 + -300)) and 80?
320
Let v(s) be the third derivative of -s**6/120 + 7*s**5/60 - s**3/6 - 4*s**2. Let j be v(7). Find the common denominator of -7/29 and 598/(-39)*(j + (-10)/8).
58
Let p = -2904 - -749273/258. Calculate the common denominator of 16/817 and p.
4902
Suppose -3*t = d - 19, -t = 4*t - d - 29. What is the smallest common multiple of 4/(4 - 3) + 14 and t?
18
What is the common denominator of -53/572 and (-103)/(-412) + 420/(-1144)?
572
Let n(q) = 2*q**2 - 39*q + 10. Let p be (4 - 23)/(2 - 3). Let b be n(p). What is the least common multiple of 7 and (b/(-15) + 4/(-15))*3?
7
Let p = 1/243 - -1357/4860. What is the common denominator of p and -27/340?
1020
Let w be (2 + (-68)/(-6))*3. Let q = w + -37. Suppose -q*u = 4*f - 103, -3*u = -f - 3 + 10. What is the lowest common multiple of f and 10?
110
Let k = -16763 + 670447/40. Let z = 57020 - 1254455/22. Find the common denominator of z and k.
440
Let x be 4*((-15)/(-25) + 8/20). Let s(v) = -5*v + 7. Let l = 31 - -12. What is the common denominator of l and s(x)?
1
Let v = 9/175832 + 7113519/149984696. Calculate the common denominator of -133/18 and v.
15354
Let d = 951/2 + -503. What is the common denominator of (-72)/(-15) + -4 + 51009/(-40180) and d?
164
Let y(a) = 72*a - 366. What is the lowest common multiple of 649 and y(10)?
3894
Let k = -307 + 1219/4. Let g = 107/12 - k. Calculate the common denominator of g and -86/75.
150
Suppose -196*z - 96*z = -263 - 1781. Calculate the smallest common multiple of 22 and z.
154
Let h be (6/8)/(9/12). Find the common denominator of -17/4 and -2 + h/((-42)/47).
84
Suppose 5*g + 354 = -3*j + 471, 5*g - 121 = -4*j. Calculate the lowest common multiple of g and 3528.
3528
Let b = 229 + -228. What is the lowest common multiple of b/(-3)*-20 + 2/(-3) and 50?
150
Let j(w) = 4*w**2 - 55*w - 1. Suppose -2*m + 22 = 2*s, 3*s + 23 = -3*m + 4*m. Calculate the lowest common multiple of 49 and j(m).
637
Suppose -3*r + 2*g = -28, -3*r - 2*r = 3*g - 15. Let m = r + -13. Find the common denominator of 44/3 and (1 - 101/96)*m*4.
24
Calculate the smallest common multiple of ((-4)/1)/((-50)/9450) and 39.
9828
Let k = 2057 + -2019. Calculate the smallest common multiple of 464 and k.
8816
Let j(i) = -i + 1. Let y be j(-4). Suppose 15 = -y*l + 90. What is the smallest common multiple of 4 and -20*(-3 - l/(-6))?
20
Let l(v) = v**3 + 10*v**2 + 5*v - 17. Let j be l(-7). Let w = j - 82. Calculate the smallest common multiple of w and 7.
91
Let i = -457127/252 + 12676/7. Let u = -10/8469 + 29825/22584. Calculate the common denominator of i and u.
72
Suppose 3*p = g + 37, -27 = -4*p - 4*g + 49. Suppose 208*o - 384 = 103*o + 89*o. What is the smallest common multiple of p and o?
168
Let i(u) = 9 - 11*u - 4*u**2 + 7*u**2 - u**2. Let t be i(5). Calculate the smallest common multiple of 18 and 1 + (-4)/t - -15.
90
Suppose 0 = -3*l - 5*r + 4, -4*l - 2 = -0*r + 3*r. What is the common denominator of 4 + (-244)/32 + l/(-6) and (-4)/22 - 2415/(-1848)?
24
Calculate the common denominator of (8 - -19)/(-9) + 3903/1440 and -39/320.
960
Suppose 19*a + 1637 - 5202 = 3104. Calculate the least common multiple of a and 21.
2457
Suppose -4*f - 5*p = -2646, p - 589 = -583. Calculate the least common multiple of f and 22.
7194
Let b = 135 - 65. Calculate the least common multiple of b and (-2300)/(-20) + ((-100)/(-10) - -1).
630
Let r = -3701/6930 + 13/90. What is the common denominator of -12/1771 and r?
1771
Let w(t) = -2*t**3 - 12*t**2 - 29*t - 134. Calculate the smallest common multiple of 510 and w(-6).
2040
Suppose 3*y + 260 = 8*y. Let a be ((-5)/(-4))/(((-1025)/60)/(-41)). Suppose a*x = 38 + y. What is the lowest common multiple of x and 16?
240
Let p = 14910 + -14804. Calculate the least common multiple of 1060 and p.
1060
What is the common denominator of ((-98)/(-60))/((-3042)/468) and 179/546?
2730
What is the common denominator of (-146225)/(-5700) - (-125)/(-5) and 139/12?
228
Let h = 358793/63 + -5696. Find the common denominator of -5/234 and h.
1638
Let y = 3239 - 11726. Let h = -152701/18 - y. Calculate the common denominator of h and (3 - (-635)/(-135))/(-18 + 20).
54
Suppose -4*n - 4202 = -14*n + 1678. What is the lowest common multiple of n and 20?
2940
Let x = -9 - -33. Calculate the smallest common multiple of x and ((0 - -85) + (-1 - -4))*73/146.
264
Calculate the common denominator of (-5)/20*462*3/(-18) and 107/516.
516
Suppose 24*v - 25*v - 3 = 0. Let t(k) = 6*k + 2. What is the smallest common multiple of (8/18*3)/((-1)/v) and t(3)?
20
Let v = -243968218766/129 - -1891216945. Let y = 9557 + v. What is the common denominator of y and -65/3?
129
Suppose -4*a - 506 - 286 = 0. Let g = -34795/12 + 2902. What is the common denominator of 1/3 - (-5)/a*87 and g?
132
Suppose 2*j - 3 = 5. Let s be ((-3)/2)/((-1)/(184/j)). Let t = 75 - s. What is the lowest common multiple of 14 and t?
42
Let o = 4 + 68. What is the common denominator of 1718/o - (-9)/(-81) and ((-318)/12)/((-35)/(-10))?
28
Suppose 723*s + 3*w + 51 = 728*s, -2*w = s - 5. Calculate the least common multiple of s and 724.
6516
Let g(v) = 16*v - 82. Let n be g(4). Calculate the common denominator of -97/20 and (-27)/n + (-294)/220 + -1.
220
Let r = 62443 + -14986381/240. What is the common denominator of r and 131/260?
3120
Let h = -6094 - -414381/68. What is the common denominator of -17/82 and h?
2788
Let q = -1325/498 - 1/166. Let u = 1322004/11 - 1463451586/12177. Let l = u - 20/41. What is the common denominator of q and l?
27
Let l = 0 - -15. Let h = -50 + -12. Let z = 89 + h. Calculate the smallest common multiple of l and z.
135
Let k = 161/15866659 + 589983397997/241474683321. Let f = -2/1691 - k. Let n = 37273/6 + -6228. What is the common denominator of f and n?
18
Let c = 3992 + -3872. Calculate the least common multiple of c and 420.
840
What is the common denominator of 1/3 - (-43)/3 and ((-16)/(-56))/((-24)/(-518))?
6
Let z = 15201 - 15076. What is the lowest common multiple of z and 375?
375
Let n = -86 + 92. What is the lowest common multiple of 2 and (-1 + n/9)/(6/(-684))?
38
Let q(k) = -246*k - 5557. What is the least common multiple of 6 and q(-24)?
2082
Let s(o) = -o + 16. Suppose 147 + 344 = a - 4*t, 0 = -3*a + 2*t + 1493. Let v = a + -495. What is the lowest common multiple of v and s(0)?
16
Suppose 29*d + 479 = -449. Calculate the smallest common multiple of d/(-2) - (7 + 0) and 51.
153
Suppose -55 = -n - 10*n. Suppose -3*a = 4*b + 10 - 50, -n*a = 3*b - 19. Calculate the smallest common multiple of 9 and b.
117
Let g = -2274 - -2251. Find the common denominator of 53/330 and g.
330
Let s = 51599/35 + -1473. Find the common denominator of s and -70/69.
2415
Let h be (((-36)/8)/(-3))/((-2)/(-44)). Let u be (-2 + h/9)*-18. Let z = u - -33. What is the smallest common multiple of 5 and z?
15
Let b = -5043684 - -50365299/10. Let h = b - -7146. Find the common denominator of -17/62 and h.
310
Let l = 454389/16 + -28403. Let j = -1525579/48 + 31785. Find the common denominator of j and l.
48
Find the common denominator of 62/315 and ((-4)/(-14))/(13*(-20)/520).
315
Let k = -2007751/532 + 15097/4. What is the common denominator of k and 43/190?
1330
Let w = 893506 - 402077533/450. Calculate the common denominator of w and -187/120.
1800
Find the common denominator of ((-1778)/(-399))/((-800)/(-24)) and -41/8.
3800
Let a = 7 - 4. Let s(i) = -3*i + 1 - a + i. Calculate the least common multiple of s(-4) and 6.
6
Let c be (-4 + 10 - 1) + -1. Suppose 2*k + c = 0, -3*o - 16 = -3*k + 11. Let a = -5 - o. Calculate the least common multiple of a and 14.
42
Let o = 5/158 - -187/1580. Let r be -2*(-4)/((-24)/(-9)). Calculate the common denominator of (14/18)/((-2)/29) + r and o.
180
Suppose 0 = -10*j + 332 - 322. Let l(k) = k**3 - 5*k**2 + 6*k - 6. Let z be l(5). Let h = -17 + z. Calculate the smallest common multiple of h and j.
7
Let o = 5 | {
"pile_set_name": "DM Mathematics"
} |
the power of 1/5, to the nearest integer?
68
What is 24565855 to the power of 1/3, to the nearest integer?
291
What is 503166623 to the power of 1/3, to the nearest integer?
795
What is 9980605 to the power of 1/5, to the nearest integer?
25
What is the eighth root of 53572984 to the nearest integer?
9
What is the ninth root of 1155114366 to the nearest integer?
10
What is 586012904 to the power of 1/6, to the nearest integer?
29
What is the square root of 114730204 to the nearest integer?
10711
What is 2039013189 to the power of 1/8, to the nearest integer?
15
What is 5215175399 to the power of 1/3, to the nearest integer?
1734
What is 2968978153 to the power of 1/9, to the nearest integer?
11
What is 2004437066 to the power of 1/5, to the nearest integer?
73
What is 15508047 to the power of 1/2, to the nearest integer?
3938
What is the ninth root of 810955172 to the nearest integer?
10
What is 2462017193 to the power of 1/2, to the nearest integer?
49619
What is 28852589 to the power of 1/2, to the nearest integer?
5371
What is the third root of 424030237 to the nearest integer?
751
What is the cube root of 1819107066 to the nearest integer?
1221
What is 127383445 to the power of 1/10, to the nearest integer?
6
What is 77482003 to the power of 1/5, to the nearest integer?
38
What is the eighth root of 809225845 to the nearest integer?
13
What is the fifth root of 575160868 to the nearest integer?
56
What is the sixth root of 28372499 to the nearest integer?
17
What is the square root of 647862815 to the nearest integer?
25453
What is the third root of 697602624 to the nearest integer?
887
What is 3178337389 to the power of 1/2, to the nearest integer?
56377
What is 2396855354 to the power of 1/8, to the nearest integer?
15
What is the third root of 227090005 to the nearest integer?
610
What is the third root of 42372614 to the nearest integer?
349
What is 289371788 to the power of 1/7, to the nearest integer?
16
What is the square root of 27384414 to the nearest integer?
5233
What is the square root of 80779074 to the nearest integer?
8988
What is 10445789 to the power of 1/9, to the nearest integer?
6
What is the square root of 143365091 to the nearest integer?
11974
What is 684814924 to the power of 1/3, to the nearest integer?
881
What is 71974422 to the power of 1/2, to the nearest integer?
8484
What is 37176307 to the power of 1/3, to the nearest integer?
334
What is 4016506065 to the power of 1/2, to the nearest integer?
63376
What is 73916969 to the power of 1/10, to the nearest integer?
6
What is 239591345 to the power of 1/5, to the nearest integer?
47
What is the square root of 540949605 to the nearest integer?
23258
What is the seventh root of 720515065 to the nearest integer?
18
What is the square root of 222003822 to the nearest integer?
14900
What is 114657781 to the power of 1/3, to the nearest integer?
486
What is 164927297 to the power of 1/3, to the nearest integer?
548
What is 38923295 to the power of 1/3, to the nearest integer?
339
What is the fourth root of 2912337922 to the nearest integer?
232
What is the square root of 700227254 to the nearest integer?
26462
What is 38358757 to the power of 1/3, to the nearest integer?
337
What is 138479547 to the power of 1/2, to the nearest integer?
11768
What is the seventh root of 19012405 to the nearest integer?
11
What is the cube root of 477591856 to the nearest integer?
782
What is the third root of 967518941 to the nearest integer?
989
What is the seventh root of 236506484 to the nearest integer?
16
What is the square root of 2249560979 to the nearest integer?
47430
What is 210096198 to the power of 1/2, to the nearest integer?
14495
What is 3189049188 to the power of 1/7, to the nearest integer?
23
What is the square root of 89905427 to the nearest integer?
9482
What is 5039036001 to the power of 1/4, to the nearest integer?
266
What is 292697466 to the power of 1/3, to the nearest integer?
664
What is 379562031 to the power of 1/9, to the nearest integer?
9
What is the fourth root of 188616943 to the nearest integer?
117
What is 21573223 to the power of 1/3, to the nearest integer?
278
What is the ninth root of 395617430 to the nearest integer?
9
What is 5418807131 to the power of 1/8, to the nearest integer?
16
What is 69234566 to the power of 1/7, to the nearest integer?
13
What is the square root of 202347341 to the nearest integer?
14225
What is the third root of 1430369968 to the nearest integer?
1127
What is the third root of 133388579 to the nearest integer?
511
What is the seventh root of 801262904 to the nearest integer?
19
What is the ninth root of 66318726 to the nearest integer?
7
What is the sixth root of 1301239072 to the nearest integer?
33
What is 1125599650 to the power of 1/3, to the nearest integer?
1040
What is 1189736071 to the power of 1/5, to the nearest integer?
65
What is 40639334 to the power of 1/8, to the nearest integer?
9
What is 319325288 to the power of 1/5, to the nearest integer?
50
What is the cube root of 12631334 to the nearest integer?
233
What is 130319273 to the power of 1/4, to the nearest integer?
107
What is the third root of 932048517 to the nearest integer?
977
What is the third root of 146234156 to the nearest integer?
527
What is the eighth root of 1742513935 to the nearest integer?
14
What is 31131047 to the power of 1/2, to the nearest integer?
5580
What is the sixth root of 2867079130 to the nearest integer?
38
What is 15226737 to the power of 1/2, to the nearest integer?
3902
What is the square root of 1758772201 to the nearest integer?
41938
What is 166720968 to the power of 1/4, to the nearest integer?
114
What is 102643630 to the power of 1/3, to the nearest integer?
468
What is 2639686689 to the power of 1/10, to the nearest integer?
9
What is 24177403 to the power of 1/8, to the nearest integer?
8
What is the third root of 23456061 to the nearest integer?
286
What is the square root of 36306072 to the nearest integer?
6025
What is 27098507 to the power of 1/3, to the nearest integer?
300
What is 524063150 to the power of 1/8, to the nearest integer?
12
What is the square root of 54693913 to the nearest integer?
7396
What is 426659784 to the power of 1/9, to the nearest integer?
9
What is the seventh root of 1030837537 to the nearest integer?
19
What is the eighth root of 55821392 to the nearest integer?
9
What is 231667035 to the power of 1/6, to the nearest integer?
25
What is the fourth root of 99435540 to the nearest integer?
100
What is the ninth root of 3094815705 to the nearest integer?
11
What is 1016778233 to the power of 1/2, to the nearest integer?
31887
What is the third root of 155202992 to the nearest integer?
537
What is 777519269 to the power of 1/7, to the nearest integer?
19
What is the square root of 2298816998 to the nearest integer?
47946
What is 2028675730 to the power of 1/8, to the nearest integer?
15
What is the fourth root of 382648468 to the nearest integer?
140
What is 185791699 to the power of 1/7, to the nearest integer?
15
What is the square root of 10727027 to the nearest integer?
3275
What is 25169017 to the power of 1/3, to the nearest integer?
293
What is the square root of 1107581020 to the nearest integer?
33280
What is 3953518 to the power of 1/7, to the nearest integer?
9
What is 371225798 to the power of 1/2, to the nearest integer?
19267
What is 2716521115 to the power of 1/3, to the nearest integer?
1395
What is 5469123 to the power of 1/8, to the nearest integer?
7
What is 705929293 to the power of 1/4, to the nearest integer?
163
What is the third root of 60516821 to the nearest integer?
393
What is the square root of 3133689533 to the nearest integer?
55979
What is 282773410 to the power of 1/2, to the nearest integer?
16816
What is 718951221 to the power of 1/9, to the nearest integer?
10
What is 3351193408 to the power of 1/3, to the nearest integer?
1496
What is the third root of 154519811 to the nearest integer?
537
What is the tenth root of 498879456 to the nearest integer?
7
What is the seventh root of 113230285 to the nearest integer?
14
What is 339290629 to the power of 1/5, to the nearest integer?
51
What is the fourth root of 3145864886 to the nearest integer | {
"pile_set_name": "DM Mathematics"
} |
v**2
Let k(l) = 19*l**2 - 3. Let j(q) = 18*q**2. Give k(j(a)).
6156*a**4 - 3
Let a(i) = -3*i**2. Let s be (-1264)/(-14) + 2/(-7). Let t(r) = s*r - 90*r - 4*r**2. What is a(t(h))?
-48*h**4
Let i(f) = -f. Let n(w) = 24*w**2 + 2*w. Calculate n(i(d)).
24*d**2 - 2*d
Let k(j) = 2*j. Let q(w) be the third derivative of -w**4/8 + w**3/6 - 14*w**2 + 3. Give q(k(g)).
-6*g + 1
Let f(l) = 4 + l**2 + 1 - 5. Let r(w) = 5*w - 3. Let b(y) = 29*y - 17. Let u(i) = 6*b(i) - 34*r(i). What is f(u(q))?
16*q**2
Let l(s) = -2*s. Let b(k) be the first derivative of k**5/30 + k**3 - 3. Let f(r) be the third derivative of b(r). What is l(f(j))?
-8*j
Let k(l) be the second derivative of -l**4/6 - l. Let t(m) = -2*m + 2*m + m. Calculate t(k(q)).
-2*q**2
Let v(l) = -3*l. Let q(d) be the second derivative of 0*d**3 + 0*d**2 - 1/12*d**4 - d + 0. What is v(q(j))?
3*j**2
Let c(l) = 4*l**2 + 6*l - 6. Let b(i) = i - 1. Let a(z) = -6*b(z) + c(z). Let x(j) = 7*j**2. Calculate x(a(g)).
112*g**4
Let i(b) = -b**2 + 18. Let k(g) = -8*g**2. Calculate i(k(v)).
-64*v**4 + 18
Suppose 0 = 4*k - 2*k - 30. Let d(z) = z. Let w(u) = -4*u. Let h(s) = k*d(s) + 5*w(s). Let q(j) = -j**2. Calculate q(h(o)).
-25*o**2
Let z(m) = -20*m**2. Let x(u) be the second derivative of u**4/6 + 3*u. What is z(x(c))?
-80*c**4
Let k(x) be the second derivative of x**5/30 + x**2 - 5*x. Let l(i) be the first derivative of k(i). Let g(o) = -o**2. Determine l(g(b)).
2*b**4
Let b(l) = 2*l. Let u(v) = -14*v. Let q(m) = 9*m. Let n(h) = 8*q(h) + 5*u(h). Let p(w) = -5*b(w) + 4*n(w). Let k(x) = -2*x. Calculate p(k(d)).
4*d
Let z(n) = n**2. Let s(c) = 4866*c. What is s(z(l))?
4866*l**2
Let j(d) = -2*d. Let r(b) be the third derivative of -5*b**4/24 + 7*b**2. Give j(r(n)).
10*n
Let y(m) = -4*m**2. Let f(o) be the third derivative of o**6/360 - o**4/12 + o**2. Let q(n) be the second derivative of f(n). Calculate y(q(l)).
-16*l**2
Let k(r) be the second derivative of r**5/60 + r**3/2 - 9*r. Let n(y) be the second derivative of k(y). Let o(s) = -4*s**2. Give o(n(t)).
-16*t**2
Let f(g) = -7*g + 5*g + 4*g. Let m(y) be the first derivative of -y**2/2 + 5. What is m(f(n))?
-2*n
Let o(a) be the third derivative of 0 + 1/24*a**4 + 2*a**2 + 0*a + 0*a**3. Let d(k) = 8*k**2 - k**2 - 2*k**2. Calculate d(o(f)).
5*f**2
Let l(n) be the third derivative of 4*n**4/3 + 6*n**2. Let j(i) = 2*i**2. Calculate j(l(z)).
2048*z**2
Let j(l) = -2*l**2. Let g(a) = -45 + 22 + 23 - a**2. Determine j(g(s)).
-2*s**4
Let f(v) = -2*v + 26. Let s(i) = -32*i**2. What is f(s(b))?
64*b**2 + 26
Suppose -52 = -0*p - 2*p. Let a(q) = -5*q**2 - 3*q. Let r(i) = 21*i**2 + 13*i. Let y(m) = p*a(m) + 6*r(m). Let j(b) = b**2. Calculate j(y(z)).
16*z**4
Let n(z) = -11*z. Suppose -f = -r - 4*f - 13, 5*f = -25. Let c(i) = 10*i**2 - 12*i**r + i**2. Calculate c(n(o)).
-121*o**2
Let o be 2 + (-2 - -5) + 0. Let b(g) = o*g - 14*g + 8*g. Let a(f) = -f**2. Determine b(a(v)).
v**2
Let k(i) = 17*i + 17*i - 31*i. Let d(x) = 9*x**2. What is k(d(s))?
27*s**2
Let h(t) = t. Let m(o) = -o - 3459. Determine m(h(u)).
-u - 3459
Let t(a) = -14098*a - 1. Let f(h) = -h. Give t(f(k)).
14098*k - 1
Let o(n) = -16 + 35 - 19 - 2*n**2. Let u(b) = -3*b. Calculate u(o(x)).
6*x**2
Let s(o) = -79*o**2. Let a(z) = 45*z. What is s(a(g))?
-159975*g**2
Let d(q) = 2*q. Let n(z) be the second derivative of -17*z**4/12 + 12*z. What is d(n(j))?
-34*j**2
Suppose -c = -y, y = -c - y + 12. Let h be (-8)/16*(0 - c). Let f(l) = -l - h*l + l. Let u(o) = 2*o. Give u(f(b)).
-4*b
Let o(c) = -422*c. Let w(f) = 2*f**2. Determine w(o(u)).
356168*u**2
Let h(u) = 2*u. Let c(d) be the first derivative of 0*d + 7/2*d**2 + 4. Give c(h(y)).
14*y
Let u(y) be the second derivative of 2/3*y**3 + 0 + 2*y + 0*y**2. Let p(q) = -q. Give u(p(n)).
-4*n
Let w(a) = a. Let t(k) = -49*k**2 - 35. Give w(t(y)).
-49*y**2 - 35
Let f(o) = 6*o - 6*o - o**2. Let s(d) be the first derivative of 2*d**3/3 - 2. Calculate f(s(y)).
-4*y**4
Let j(f) = -3*f. Let x(t) = -25*t**2. Determine x(j(w)).
-225*w**2
Let u(d) = 5*d. Let p(g) = -4*g**2 - 19*g. Give p(u(l)).
-100*l**2 - 95*l
Let n(m) = -21*m**2 + 14*m**2 + 6*m**2. Let r(g) = 3*g. Give n(r(o)).
-9*o**2
Let b(s) = 2*s**2. Let x(q) = 3*q**2 - 6. What is b(x(d))?
18*d**4 - 72*d**2 + 72
Let k(t) = 5*t + 5. Let z(u) = 228*u. What is k(z(l))?
1140*l + 5
Let t(a) = -6*a. Let q(s) = -s**2 + 2*s - 2. Let u(z) = 4*z**2 - 9*z + 9. Let p(y) = 9*q(y) + 2*u(y). Give p(t(d)).
-36*d**2
Let s(l) = -32*l**2 + 1. Let g(k) = -2. Let z(p) = p - 10. Let m(j) = 5*g(j) - z(j). Calculate s(m(c)).
-32*c**2 + 1
Suppose -2*b = -0*b. Let f(y) be the first derivative of -3 + 0*y**2 + 1/3*y**3 + b*y. Let l(v) = -4*v. Give l(f(p)).
-4*p**2
Let o(y) = -16*y + 8*y + 8*y - 6*y**2. Let a(p) be the first derivative of -p**2 - 1. Determine a(o(s)).
12*s**2
Let z(f) = 31 - 3*f - 31. Let l(a) = -2*a**2. Give l(z(q)).
-18*q**2
Let x(t) = -9*t - 2*t**2 + 9*t. Let f(h) = -h. Determine x(f(n)).
-2*n**2
Let t(z) be the third derivative of -z**4/24 - z**2. Let i(p) = 141*p - 4*p**2 - 282*p + 141*p. Calculate i(t(l)).
-4*l**2
Let f(k) be the first derivative of -k**6/360 + k**3/3 - 2. Let q(p) be the third derivative of f(p). Let h(t) = 2*t. Calculate q(h(x)).
-4*x**2
Let s(z) = -2*z + 9. Let u(v) = -3*v**2. What is s(u(x))?
6*x**2 + 9
Let p(x) = 2 - 2*x - 2. Let a(h) = 2*h**2. Let m(g) = 9*g**2. Let b(t) = 15*a(t) - 4*m(t). What is p(b(v))?
12*v**2
Let i(g) = -3*g**2 - 13. Let j(x) = 7*x**2. Calculate j(i(s)).
63*s**4 + 546*s**2 + 1183
Let h(c) = -3*c. Let s(v) = v + 4. Let u be s(-7). Let n(j) = 6*j**2 + 8. Let m(r) = 2*r**2 + 3. Let a(o) = u*n(o) + 8*m(o). What is h(a(x))?
6*x**2
Let j(y) = 10*y**2. Let c(r) be the second derivative of 7*r**3/6 + 5*r. Determine j(c(h)).
490*h**2
Let z(g) = 170 - 170 - 2*g**2. Let l(h) = 3*h**2. Give z(l(k)).
-18*k**4
Let r(u) be the first derivative of -u**3/3 - 4. Let z(n) be the third derivative of -n**4/6 - n**2. Give r(z(x)).
-16*x**2
Let f(g) = -g. Let q(n) = 8*n - 2. What is f(q(m))?
-8*m + 2
Let o(w) = 4*w + 11. Let j(t) = 4*t**2. Give o(j(l)).
16*l**2 + 11
Let d(v) = v**2. Suppose 3*r = -9 - 3. Let c = 6 + r. Let p(m) = -8 + 8 - c*m**2. Give p(d(b)).
-2*b**4
Let n(l) = 2*l**2. Suppose -1 = -4*s + 7. Let t(o) = 20*o - 5*o**s - 20*o. Determine t(n(x)).
-20*x**4
Let y(k) = -k**2. Let v(g) = 19*g. Let r(u) = 20*u. Let h(f) = -3*r(f) + 4*v(f). Calculate h(y(z)).
-16*z**2
Let x(u) = -4*u. Let k(t) = -148*t. Give x(k(n)).
592*n
Suppose -3 - 5 = -4*z. Let h(k) = 2*k**2 - k**z + k**2. Let m(w) = -3*w**2 + 2 - 2 + 0. Calculate h(m(q)).
18*q**4
Let b(l) = -23*l. Let d(r) = -7*r**2. Determine b(d(k)).
161*k**2
Let f = -1 + 3. Let b(k) = 2*k**2 + 4*k**2 - 3*k**f. Let x(u) be the third derivative of -u**5/30 - u**2. What is x(b(v))?
-18*v**4
Let v(k) = 3*k. Let x(s) = 2*s. What is v(x(o))?
6*o
Let a(h) be the first derivative of -h**3/3 + 16. Let f(s) be the second derivative of s**3/2 + s. Calculate a(f(r)).
-9*r**2
Let y(q) = q. Let n(u) = -6*u. Let h(c) = -4*n(c) - 21*y(c). Suppose -2*g = g - 3, -1 = i - 3*g. Let t(d) = -3 - 2*d**i + 3. Calculate h(t(z)).
-6*z**2
Let y(k) = 4*k**2. Let i(j) = -48*j. Give i(y(f)).
-192*f**2
Let g(a) = 15*a**2 + a - a - 21*a**2. Let x(y) = y**2. What is g(x(v))?
-6*v**4
Let d(p) = 2*p**2. Let a(r) = -r. Let z(m) = m. Let y(h) = 2*a(h) + 3*z(h). What is d(y(k))?
2*k**2
Suppose -x + 2*g - 1 = -0*x, -x - g = -8. Let u(s) = s - 7 + x + 2. Let m(z) = -6*z. What is u(m(f))?
-6*f
Let z(q) = -16*q**2. Let b(t) = 6*t + 8*t + 4*t - 15*t. Give b(z(w)).
-48*w**2
Let g(z) = -z**2. Let n = 28 + -18. Let l be 4/n + 16/10. Let u(p) = -2*p**l + 3 + 0*p**2 - 3. Give u(g(j)).
-2*j**4
Let k(y) = -2*y**2. Suppose 2*i + 6 = 5*i. Let f(p) be the third derivative of 0*p**3 + 1/8*p**4 + 0 + 0*p - 2*p**i. Determine f(k(u)).
-6*u**2
Let m(u) = -u - 1. Let i(y) = -3*y - 4. Let s(q) = i(q) - 4*m(q). Let t(h) = 6*h. Give t(s(p)).
6*p
Let g(m) = 2*m**2. Let k(h) be the third derivative of 5*h**4/12 + 2*h**2. Give g(k(l)).
200*l**2
Let h(g) be the third derivative of -2*g**2 + 0*g + 0 + 0*g**3 + 0*g**4 + 1/30*g**5. Let n(d) = -d. What is h(n(p))?
2*p**2
Let y(d) be the third derivative of -d**5/60 + 9*d**2. Let i(v) = 3*v. Calculate y(i(w)).
-9*w**2
Let k(v) = 2*v**2 + 23. Let f(n) = 21*n. Give f(k(x)).
42*x**2 + | {
"pile_set_name": "DM Mathematics"
} |
13). Solve -6*i - 6 - q = 0 for i.
-5
Let a(g) = g**3 - 8*g**2 + 9*g + 20. Let v be a(6). Suppose -4*h + 8 = -v*c, 0 = 2*h + 4*c - 24. Solve 2 + 14 = h*j for j.
4
Let g(x) = -8*x - 2*x**2 + 14 + x**2 + 6*x + 0*x. Let n be g(-4). Solve -26 = -5*v - n for v.
4
Suppose 3*r + a + 8 = -a, -5*r - 16 = 4*a. Let q(l) = l - 9. Let m be q(12). Solve r = m*i - 4*i - 2 for i.
-2
Let f(d) = -2*d**3 - 17*d**2 - 5*d + 29. Let v be f(-8). Solve 3*w = v*w - 10 for w.
5
Let h(y) = -2*y + 0 + 2 - 3 + 9. Let s be (-1)/(3*(-3)/(-54)). Let l be h(s). Solve -l = 4*n - 0*n for n.
-5
Suppose 11 - 30 = -y. Suppose -7*p - 16 = y. Let q(z) = -z**2 - 8*z - 6. Let o be q(p). Solve 2*a = -1 - o for a.
-5
Let m(s) = -s**3 - 7*s**2 - 13*s - 32. Let o be m(-6). Solve 10 = -5*v - o for v.
-4
Let c(h) = -h**2 - 8*h + 7. Let g be c(-8). Let n(z) = -5*z - 1 + 0 - z + g*z. Let w be n(3). Solve y = w*y for y.
0
Let p(b) = 41*b + 255. Let j be p(-6). Solve -4 = j*u + 5 for u.
-1
Let s be (-5)/15*-3*2. Suppose 2 = -r + s*r. Solve r*h - 9 = -1 for h.
4
Let k = 31 + -29. Suppose 5*g - k*g = 0. Solve g = -0*f + 5*f - 5 for f.
1
Let f be ((5 + -5)/3)/(-2). Let h be (-1 - 1) + 6*1. Suppose -h*x + 2*x = f. Solve -w + 6*w - 15 = x for w.
3
Let l(v) = -v**3 - 8*v**2 - 8*v. Let z be l(-7). Let t = 11 - z. Solve -o + t = 3*o for o.
1
Suppose 4*t - t - 12 = 0. Let s(i) = -i**3 + 5*i**2 - 4*i + 5. Let v be s(t). Suppose 3*m = 14 - 2. Solve -v = -y - m for y.
1
Suppose 0 = 4*n - u + 151, 0*u - 2*u = 10. Let i = n - -44. Let p(l) = 15*l**2 + l + 1. Let t be p(-1). Solve -2*x - t = -i*x for x.
5
Let l = -968 + 970. Solve -4*z + l*z = -0*z for z.
0
Suppose 13*v - 9*v = 64. Solve 12*h - 8 - v = 0 for h.
2
Suppose -x = 2*c - 3, 57*x = -c + 52*x - 3. Solve 0 = c*g - 8 for g.
4
Let k be (760/36)/5 + 18/(-81). Solve 0 = -k*i - 20 + 4 for i.
-4
Let w(m) = -27*m**3 + m**2 - 1. Let u be w(1). Let s = u - -27. Suppose -2*f = -3*g - 15, 5*f - g = 9 + 9. Solve -a = f - s for a.
-3
Let z(l) = -2*l - 7. Let w be z(-6). Solve -20 = 5*n + w for n.
-5
Let n = -26 + 16. Let y be ((-60)/50)/(4/n). Solve h - 2*h + y = 0 for h.
3
Suppose 11*h - 180 = 29. Solve -5*z = -h - 6 for z.
5
Let z be 1/2 - (-8580)/264. Solve p + z = -10*p for p.
-3
Let q be (-1 - 2 - -4) + -6 + 36. Solve 8 = q*j - 33*j for j.
-4
Suppose 2*x + 5*f + 6 = 0, 5 = -x - 2*f + 3. Suppose -x*l + 10 = 2*y, 5*l + 0*l - 10 = 0. Solve -y*j = -20 + 8 for j.
4
Let o be (144/112)/(1/7). Solve -o = 4*t + 7 for t.
-4
Let z be (-188)/(-16) - (-2)/8. Suppose -14*o + 3*i = -17*o + 12, 0 = -o + 5*i - 8. Solve -4 + z = -o*q for q.
-4
Let c(y) = -15*y. Let r be c(-1). Let k be (24/15)/((-2)/10). Let l be (-2)/k - 14/(-8). Solve l*n = -3*n - r for n.
-3
Let q be ((-12)/(-16))/(2/32). Suppose 2*t = 4*r + q, -2 - 1 = -t + r. Suppose t = 3*g - 15, -5*g - 20 = 2*f - 7*f. Solve 5*i + 16 + f = 0 for i.
-5
Let i(h) = -h**3 + 2*h**2 + 2*h - 3. Let m = 29 + -28. Let p be i(m). Solve -5*z + 0*z = p for z.
0
Let u be 0 + (0 - -1 - 1). Suppose -6*q = 6*q - 24. Solve -q*s + 2 = -u for s.
1
Let w = 5 + 15. Suppose -w*x - 6 = -22*x. Solve 2*o = -x*o for o.
0
Suppose k = -2*g + 6*k - 55, 4*g + 5*k + 65 = 0. Let a = 41 + g. Let c = a - 18. Solve c*q - 2*q - 2 = 0 for q.
2
Let k(a) = -2*a**2 + 29*a - 8. Let z be k(14). Solve -i - 10 = -z*i for i.
2
Suppose -f + 57 - 37 = 0. Solve 0 = 9*y - 4*y + f for y.
-4
Let g = 375 + -375. Solve 3*j - j = g for j.
0
Let m(c) = c**3 - 16*c**2 + 14*c + 8. Let r(x) = 2*x**3 - 31*x**2 + 27*x + 16. Let j(u) = 5*m(u) - 3*r(u). Let a be j(12). Solve a*l = -7 - 1 for l.
-2
Let u = -89 - -92. Solve -4*n + u*n + 2 = 0 for n.
2
Let o = 66 - 51. Let s = 5 - 3. Suppose -u - 2 = 4*f + 2, 4*f = -5*u - 20. Solve s*v + 3*v + o = f for v.
-3
Let s = -347 - -356. Solve m - s + 9 = 0 for m.
0
Let p(l) = l**3 + 4*l**2 + 3*l. Let o be p(-3). Suppose o = -4*t - 61 + 301. Suppose 25 = -5*h + t. Solve 3 + h = 2*s for s.
5
Let i(c) = -12*c - 11. Let w(j) = j. Let s(r) = i(r) + 6*w(r). Let x be s(-3). Solve 2*a = -1 + x for a.
3
Suppose 5*i + 87 + 78 = 0. Let s = -21 - i. Solve 5*z + 8 = -s for z.
-4
Let w = -34 - -39. Solve 19 - 24 = w*t for t.
-1
Let q = -158 + 152. Let g(n) = 3*n + 33. Let d be g(q). Solve d = u - 4*u for u.
-5
Suppose 8 + 11 = r. Suppose -21 - r = -2*w. Suppose t - x = -2*x - 2, -4*t + 3*x = -w. Solve t*k = -2 - 4 for k.
-3
Let i be (43 - 48)*(1 + 18/(-10)). Solve 26 - 10 = -i*l for l.
-4
Let r(b) = -b**2 + 20*b + 69. Let v be r(23). Solve v = -5*t - 2 - 3 for t.
-1
Suppose -8 = 5*r + 62. Let q = r + 19. Let t = q + -2. Solve -t = -3*j + 3 for j.
2
Suppose 3*b - 18 = -3*a, 4*a - 3*b - 12 = -4*b. Suppose 7 = -a*c + 9. Solve -2*y + c = -5 for y.
3
Let r(z) = 3*z**2 - 9*z - 18. Let n(g) = -4*g**2 + 9*g + 17. Let v(d) = -2*n(d) - 3*r(d). Let x be v(10). Solve -2*p = -0*p - x for p.
5
Suppose d = 3*l + 14, 2*d + 0*d - 5*l - 23 = 0. Let u be 0/(3 + -5) - d/1. Solve 4*n - u = 19 for n.
5
Suppose v = -v + 4. Suppose 3*f = -3*d - 12, 7*d = 2*d + v*f + 8. Let m(u) = -2*u + 16. Let s be m(7). Solve -s*i = -d*i for i.
0
Let y = 1081 + -1063. Solve 54*p - 60*p = y for p.
-3
Let p = 1229 - 1227. Solve 8 = -p*x + 6 for x.
-1
Let t = 527 + -525. Solve -2*f - t*f - 12 = 0 for f.
-3
Let o(n) = n + 9. Let k be o(-5). Suppose -k*a + 17 = 5. Suppose 4*w + 6 = -p, p - w - 2*w = 8. Solve p*r - a*r = -4 for r.
4
Suppose 0 = 3*p + 3*p - 12. Suppose 0 = -p*f - f + 9. Solve -7 = f*x + 5 for x.
-4
Suppose -20*k + 70 + 230 = 0. Solve 6*j + k = 9*j for j.
5
Let z(l) = 4*l**2 + 15*l + 6. Let m be z(-6). Suppose d + 24 = f - 4*d, -5*d = 5*f - m. Solve -4*a = -f - 2 for a.
4
Let z be 1/3 + 520/78. Solve -z*j + 2*j + 20 = 0 for j.
4
Let t(g) = 6*g**2 - 51*g - 24. Let x(s) = 5*s**2 - 50*s - 23. Let p(r) = -3*t(r) + 4*x(r). Let b be p(24). Solve 2*u = -b - 0 for u.
-2
Suppose -78*u = -128*u + 650. Solve -5*y - u*y = -18 for y.
1
Let h = -33 + 36. Suppose 14 = h*q + j, -5*q + 5*j + 1 = -9. Solve -q*g - 1 = 7 for g.
-2
Let n be (-134)/(-201) - (8/3)/4. Suppose b - 2*b + 6 = 0. Let j(o) = -o**2 + 6*o + 2. Let r be j(b). Solve -3*f + 2*f + r = n for f.
2
Let v = -1545 + 1545. Solve 0*a + 9*a = v for a.
0
Suppose 4*j = 12 + 8. Let r be (6/(-9))/((-2)/3). Let o(u) = 3*u + 77. Let d be o(-25). Solve -j = -d*a + r for a.
3
Let y(n) = n**3 + 4*n**2 - 10*n - 10. Let z be y(-5). Solve -20 = 19*s - z*s for s.
-5
Let v(d) = d**3 - 9*d**2 + 16*d - 3. Let a be v(7). Solve -7*s + a*s - 4 = 0 for s.
1
Let j(q) = -q**3 - 7*q**2 - q - 13. Let g be j(-7). Let t = g + 4. Let i be 8 + 1/t*6. Solve -2*m + 12 = -i*m for m.
-4
Suppose -31 = 4*l + 5*r, -3*l + 4*l + 5*r = -19. Let x(t) = -t**3 - 5*t**2 - 6*t - 6. Let f be x(l). Solve 3*n + 7 + f = 0 for n.
-3
Suppose -2*x = -l - 20, 2*x = -0*x - 2*l + 14. Let v(k) = k**3 - 8*k**2 - 9*k + 4. Let c be v(x). Solve -2*j + c = 2*j for j.
1
Suppose -2*o + 3*o - 29 = 4*l, -56 = -4*o + l. Suppose -k + o = 8. Let y be (4/(-6))/(28/(-42)). Solve -t - y = -k for t.
4
Let i be (2 + 6)*15/(-1). Let o be 90/i*1*8/(-2). Solve o*d - 2 - 1 = 0 for d.
1
Suppose 129*w - 70 = 119*w. Solve -5*h + w*h + 8 = 0 for h.
-4
Suppose 91 + 109 = 5*z. Solve 8*f = -0*f - z for f.
-5
Let f be (30/20)/((-2)/(-4)). Suppose -5*w = -f*v - 18, 5*w = v - 3*v + 13. Solve w*r = r for r.
0
Suppose -16 = -48*b + 44*b. Suppose -6*c + b*k + 4 = -c, -k = -3*c + 1. Solve 3*o - 5*o = c for o.
0
Let u = 2552 + -2483. Solve 10*q - 33*q = u for q.
-3
Suppose 0 = 1575*q - 1574*q - 7. Solve -2 = -q*u - 30 for u.
-4
Suppose 5*j - 8 = j. Let p(c) = -c + 3 + c**3 + 3 - 5*c - 4*c**j. Let s be p(5). Solve k + 2 - s = 0 for k.
-1
Suppose -11 = b + 4. Let n be (b/2)/((-21)/28). Solve -3*a - n = -4 for a.
-2
Let v = 7 + -2. Let q = 7 - v. Suppose -2*s + 6*s - 2*o = 12, 5*s + 5*o = 0. Solve s*u - 4*u = q for u.
-1
Suppose 3*d - 5*p + 48 + 12 = 0, -27 = 2*d + p. Let a(u) = -3*u - 2*u + 3*u + u - 3. Let k be a(d). Solve g = 4*g - k for g.
4
Let g(j) = -j**3 - 15*j**2 - 15*j - 13. Suppose -70 = 3*h + 2*h. Let t be g(h). Let o be (2 + -14)*t/(-2). Solve -n + o*n = 5 for n.
1
Let x = 19 + -10. Let b = 10 - x. Let p be b*-2 + (5 - -2). Solve -10 = p*l - 0*l for l.
-2
Suppose 49 + 7 = 4*f. Let x(c) = -c**3 + 13*c**2 + 12*c + 15. Let s be x(f). Let u(q) = -q - 10. Let r be u(s). Solve 3*a + r + 3 = 0 for a.
-2
Suppose 0 = 3*z - 4* | {
"pile_set_name": "DM Mathematics"
} |
rivative of -137*n**3 - 25*n**3 + 92*n**2 + 41*n**3 + m*n**3 wrt n.
-708
Let y(q) be the third derivative of q**8/336 + 11*q**6/20 - 353*q**4/24 + 722*q**2. Find the second derivative of y(t) wrt t.
20*t**3 + 396*t
Let d(c) = -603 + 613 - 147*c - 7*c + 275*c**2. Let v(z) = -413*z**2 + 231*z - 16. Let u(s) = 8*d(s) + 5*v(s). Find the second derivative of u(p) wrt p.
270
Let f(j) = -8901*j**3 - 3*j**2 - 1422*j - 2. Let t(q) = -17801*q**3 - 5*q**2 - 2843*q - 3. Let c(u) = 5*f(u) - 3*t(u). Find the second derivative of c(n) wrt n.
53388*n
Let q be -1 + (-205)/(-20) + 10/(-8). What is the first derivative of -q*a - 79 - 33*a**2 - 4*a + 10*a wrt a?
-66*a - 2
Let i(a) = a + 12. Let n be i(-10). Suppose 3*v = 2*t - v - 1434, 2855 = 4*t + 5*v. Differentiate -11*w**3 - 2*w**3 - 44 - t*w**n + 715*w**2 wrt w.
-39*w**2
Let m(l) be the first derivative of 1260*l**4 + l**3/3 + 14*l**2 + l - 2881. Find the third derivative of m(p) wrt p.
30240
Let k(r) be the first derivative of 11*r**5/5 - 49*r**3/3 + 4133*r - 3472. Differentiate k(w) with respect to w.
44*w**3 - 98*w
Suppose -7*n = -91 + 70. What is the second derivative of -37*p**n + 108*p - 15*p - 9*p wrt p?
-222*p
Let y be -3 + 2 - (3 + (-12)/2). Find the first derivative of -5*d**3 + 26 - 11 + 3*d**2 + 4*d**3 + 2*d**y wrt d.
-3*d**2 + 10*d
Let y(u) be the second derivative of -7*u**5/40 + 7*u**4/4 + u**3/3 - 29*u**2/2 - 84*u. Let p(g) be the second derivative of y(g). Differentiate p(q) wrt q.
-21
Let c(x) be the second derivative of -111*x + 0*x**5 + 0*x**2 + 0 - 32/15*x**6 + 73/6*x**3 + 0*x**4. Find the second derivative of c(t) wrt t.
-768*t**2
Find the third derivative of 3*l**2 + 63*l - 180 - 22*l - 178 - 10*l**4 + 135*l**3 + 352 wrt l.
-240*l + 810
Let y(l) be the second derivative of -37*l**8/56 + l**7/42 + 3*l**5/20 - 23*l**4/2 - l**3/3 + 2*l**2 + 4271*l. Find the third derivative of y(i) wrt i.
-4440*i**3 + 60*i**2 + 18
Let u be ((-2)/9)/((-29)/261). Let a be 2 + -2 + -2 - (-40)/u. Find the third derivative of 25*o**4 - 5*o**2 - a*o**4 - o + 45*o**4 + 18*o**2 wrt o.
1248*o
Let j(m) be the first derivative of -12249*m**5/5 + 2290*m**2 - 2788. What is the second derivative of j(b) wrt b?
-146988*b**2
Let n be (4 + -1)*(8 - (6 - 1)). What is the third derivative of 1047*x**4 + n - 520*x**4 - 5*x**2 - 471*x**4 wrt x?
1344*x
Suppose -24*u = -22*u - 4. Find the second derivative of -16*n**2 + 31*n**u + 18*n**2 - 3*n + 5*n + 49 - n**3 wrt n.
-6*n + 66
Let d(i) be the first derivative of 413*i**4/2 - i**3/3 - 244*i**2 - 3*i - 4550. What is the third derivative of d(w) wrt w?
4956
Let o(s) be the second derivative of 0*s**4 + 0*s**3 + 0 + 0*s**5 - 19/2*s**2 + 13/5*s**6 + 11*s. Differentiate o(g) wrt g.
312*g**3
Let a(g) be the first derivative of 0*g - 71/2*g**2 + 7*g**3 - 34. Find the second derivative of a(k) wrt k.
42
Find the third derivative of -17*t**6 + 9 + 8*t**5 + 213*t**6 + 35*t**5 - 43*t**5 + 33*t**2 wrt t.
23520*t**3
Let j(z) be the first derivative of z**2 - 47*z + 0*z**3 + 0*z**4 + 28 - 12/5*z**5. What is the first derivative of j(u) wrt u?
-48*u**3 + 2
Let i be (-1 - -4) + -11 + 19. What is the second derivative of -5*a - 2 - 135*a**2 - i*a - 5*a + 16*a wrt a?
-270
Let d(j) = 6*j**3 + j**2 - j. Let i(r) = 436*r**3 - 519*r**2 - 9*r. Let w(v) = -18*d(v) + 2*i(v). Find the third derivative of w(h) wrt h.
4584
Let z(v) be the first derivative of -3235*v**4/4 + 109*v**3/3 + 5*v**2/2 - 1354. What is the third derivative of z(c) wrt c?
-19410
Let y(p) be the third derivative of 587*p**6/12 + 2905*p**3/2 - p**2 + 5*p + 127. What is the first derivative of y(g) wrt g?
17610*g**2
Let t(s) = 1032*s**2 - 328*s. Let u(a) = -1037*a**2 + 327*a. Let c(h) = -6*t(h) - 5*u(h). Find the second derivative of c(b) wrt b.
-2014
Let n(h) = -7*h**3 + 3*h**2 + 5*h - 2. Let u be n(-2). What is the third derivative of -u*z**6 + 97 - z + 30*z**3 + z - 30*z**3 - z**2 wrt z?
-6720*z**3
Let q(b) be the third derivative of -64*b**5/3 + 23*b**4/6 + 1264*b**2. What is the second derivative of q(g) wrt g?
-2560
Let o(s) be the first derivative of 0*s**5 + 0*s**4 + 49 - 12*s**2 + 0*s + 0*s**3 - 67/6*s**6. Find the second derivative of o(u) wrt u.
-1340*u**3
Let f(b) = -1674*b**3 - 851*b + 10. Let a(y) = -836*y**3 - 425*y + 6. Let n(h) = -5*a(h) + 3*f(h). What is the second derivative of n(o) wrt o?
-5052*o
Suppose 7*v = 112 - 70. Find the second derivative of 11*t - 84*t**2 - v*t**2 - 95*t wrt t.
-180
Let m(j) be the third derivative of -15*j**6/2 + j**4/8 + 307*j**3/6 + 1152*j**2. Find the second derivative of m(o) wrt o.
-5400*o
Let s be 1*((2 - 6) + 7). Find the first derivative of 65*r**3 + 44 - r**s + 104*r**3 wrt r.
504*r**2
Suppose -3*h = 5*k - k - 16, 3*h - k = 11. What is the third derivative of 18*l**2 + l + 58 - 58 + 42*l**h wrt l?
1008*l
Suppose 0 = 3*l - 3*z - 97 - 11, 0 = l + 2*z - 33. Let w = 209 + -179. What is the second derivative of -7*u**2 - l*u + 23*u + 0*u**2 + w*u wrt u?
-14
Differentiate -1537 + 1884 + 5438*c + 4409 - 486*c with respect to c.
4952
What is the second derivative of 67 - 2709*p**2 - 22*p - 30*p + 27 - 22*p + 79*p wrt p?
-5418
Let u = 73 + -68. What is the third derivative of -2*q**5 + 2*q**5 + q**3 + q**u - 2*q**3 - 47*q**2 wrt q?
60*q**2 - 6
Suppose -2*o + 4 = -4*w + 2*o, 5*o = w + 5. What is the derivative of -98*a**2 + w + 2 + 117*a**2 wrt a?
38*a
Let a(u) be the third derivative of u**6/30 + 17*u**5/30 - 1267*u**4/24 + 2*u**2 - 739. Find the second derivative of a(n) wrt n.
24*n + 68
Let k(s) be the second derivative of 2*s**7/21 + 308*s**6/15 + 2*s**4 - 15*s**2 - s - 98. Find the third derivative of k(c) wrt c.
240*c**2 + 14784*c
What is the second derivative of -971 + 322 + 323 + 1122*p + 323 + 436*p + 2862*p**2 wrt p?
5724
Let j(f) = -75*f**3 - 6*f - 301. Let g(i) = -i**3 - i. Let q(z) = 5*g(z) - j(z). What is the first derivative of q(w) wrt w?
210*w**2 + 1
Let q(b) be the second derivative of 703*b**3/6 + 929*b**2/2 + 852*b. What is the first derivative of q(k) wrt k?
703
Let t(f) = -111*f**5 + 2*f**3 + 36*f**2. Let m(w) = 223*w**5 - 3*w**3 - 75*w**2 + 2*w. Let y(a) = -4*m(a) - 7*t(a). Find the third derivative of y(q) wrt q.
-6900*q**2 - 12
What is the derivative of -72*o + 23*o + 27*o + 605 - 250*o**2 + 22*o wrt o?
-500*o
What is the third derivative of -861*h**4 + 575*h**4 - 2765*h**4 - 920*h**2 wrt h?
-73224*h
Let u(s) = 2247*s**2 - 21*s - 6022. Let l(q) = -1123*q**2 + 12*q + 3011. Let h(f) = -7*l(f) - 4*u(f). Find the first derivative of h(z) wrt z.
-2254*z
Let g(h) be the second derivative of 109*h**6/2 - 1289*h**4/3 + h**2 + 2*h - 1510. Find the third derivative of g(m) wrt m.
39240*m
Find the first derivative of -51 - 313 + 3*o**4 - 275 - 188 wrt o.
12*o**3
Find the first derivative of 5760*y**2 + 3685*y**2 + 1225*y**2 - 5520 + 1055 wrt y.
21340*y
Suppose -z = -4*z + 9. Find the second derivative of -r + 20*r**3 + 52*r**z + 77*r wrt r.
432*r
Find the second derivative of -1 + 1258*s**5 + 0 - 2182*s**5 + 1 - 985*s wrt s.
-18480*s**3
Let w(f) = 4577*f**3 - 6*f**2 - 277*f - 2. Let p(u) = 4583*u**3 - 8*u**2 - 275*u - 2. Let v(q) = -2*p(q) + 3*w(q). Find the third derivative of v(m) wrt m.
27390
Let c = -71 + 75. What is the third derivative of -2*y**2 - 7*y**2 - y**3 + 39*y**2 - 18*y**4 - 32*y**c wrt y?
-1200*y - 6
Let r(n) = -1850*n**2 + 64*n + 3363. Let a(j) = 1850*j**2 - 48*j - 3364. Let i(w) = -4*a(w) - 3*r(w). What is the derivative of i(b) wrt b?
-3700*b
What is the first derivative of 5262*m - 2971*m - 1174 - 3378*m wrt m?
-1087
What is the third derivative of 100*g**2 + 45 + 84*g**2 - 188*g**2 - 267*g**4 wrt g?
-6408*g
Let l(a) be the third derivative of 793*a**5/5 - 199*a**4/24 + a**3/6 - 3594*a**2 + 2*a - 2. What is the second derivative of l(o) wrt o?
19032
Let j be (495/10)/(34/(-8) - -5). What is the second derivative of -2*m**4 - 59*m**5 + 113*m**5 + 218 + m - j - 2*m wrt m?
1080*m**3 - 24*m**2
Let n(a) = 192*a**2 + 7*a. Let h(s) = 577*s**2 + 21*s - 1. Suppose -30 = -7*j + 2*j. Let y(o) = j*h(o) - 17*n(o). What is the second derivative of y(f) wrt f?
396
What is the third derivative of 226 - 66*y**5 - 2*y**6 + 175 - 460 + 4*y**6 + 12*y**2 - 1481*y**5 + y wrt y?
240*y**3 - 92820*y**2
What is the derivative of -5817 - 15048131*n**3 + 2*n**4 - 11*n**2 + 15048 | {
"pile_set_name": "DM Mathematics"
} |
2
Let m(o) = o**2 + 5*o. Let y = -110 + 106. Calculate m(y).
-4
Let t = 5 - -1. Let x(k) = -k**2 + 6*k + 1. Determine x(t).
1
Let o(q) = -q**2 - q. Let m = -15 + 17. Let j = -3 + m. What is o(j)?
0
Let v(n) = n**2 + 3*n + 3. Let z(u) = -u**3 - 8*u**2 + 3*u + 19. Let m be z(-8). Give v(m).
13
Suppose -5 = -2*f - 1. Let x(w) = w - 3*w - f + w. Suppose 2*a - d - 3*d - 28 = 0, 3*a - 2*d - 22 = 0. Determine x(a).
-6
Let v(r) = -5*r**2 - 10*r - 9. Let n(o) = -7*o**2 - 10*o - 9. Let s(u) = -3*n(u) + 4*v(u). Give s(10).
-9
Let a(d) be the third derivative of d**5/60 - d**4/4 + 5*d**3/6 - 2*d**2. Suppose 4*w - 3*m + 40 = 2*m, -5*w - 50 = 2*m. Let j = -5 - w. Determine a(j).
0
Let o(h) = 4 - h + 0 + 0 - 3. Let d = 9 + -11. What is o(d)?
3
Let u be 1/2*(3 - -1). Let i(y) = -11 - y**u + 3*y + 4 + 4*y. Suppose 8*c - 25 = 3*c. Determine i(c).
3
Let h = 62 - 60. Let m(v) = -v**2 - v + 2. Calculate m(h).
-4
Let n(o) be the third derivative of -o**5/60 + 7*o**4/24 + 2*o**3/3 + 5*o**2. Give n(6).
10
Let k(r) = 6*r - 6*r + 5*r**2. Let p be -4 - (3 + -3 + -3). Give k(p).
5
Let y be -1 + -2*(-1 - -2). Let p(l) = 2*l**2 + 15 - 6*l**2 - 32 + 3*l**2 + 20. Calculate p(y).
-6
Let t(d) = 7*d + 13. Let u(z) = -9*z - 14. Let o(w) = 4*t(w) + 3*u(w). Determine o(-11).
-1
Let c(o) = -4*o**3 + 6*o - 3. Let m(n) = -7*n**3 + n**2 + 12*n - 6. Let f(g) = -5*c(g) + 3*m(g). Calculate f(4).
5
Suppose r + 3 = -o + 2, -o + r - 7 = 0. Let x = o + 5. Let s(j) be the second derivative of -j**4/3 - j**2/2 + j. What is s(x)?
-5
Suppose 10 = -u + 3*u. Suppose -5 = u*w + 10. Let k(m) = -2 - 5*m**2 + 4 + 2*m + 6*m**2. Calculate k(w).
5
Let f(t) be the third derivative of -t**4/24 - t**3/2 - 4*t**2. Calculate f(-7).
4
Let h(w) = 7*w**2 + w - 2. Let i(o) = -20*o**2 - 2*o + 7. Let a(x) = -17*h(x) - 6*i(x). Let q be 9/(-27) - (-57)/9. Calculate a(q).
-2
Let z(q) = -q. Let c be (-36)/(-10) - (-2)/5. Let n(u) = u**3 - 5*u**2 + 6*u. Let d be n(c). Let x = d + -4. Give z(x).
-4
Let x = -26 - -38. Let m be (2/4)/((-3)/x). Let a(k) = 1 - k + 1 - 4. What is a(m)?
0
Let x(f) = f**2 - 2*f + 4 + 9*f - 6*f + 3. Suppose -z + 1 = 3*c, -2*z + 4*c - 1 = 7. Let h = z - -2. What is x(h)?
7
Let h = 16 - 14. Let s(m) = 9*m - 1. Give s(h).
17
Let i(j) = -5*j - 2. Let t(f) = -f + 1. Let y(n) = -i(n) + 6*t(n). Suppose 4*k + 76 = 100. Determine y(k).
2
Let u(k) = -4*k + 1. Let t(b) = 3*b - 1. Let x(r) = 7*t(r) + 6*u(r). Determine x(1).
-4
Let k(s) = 0 - 2*s + 4*s - 2*s**2 - 1. Suppose 4*c = 5*c - 2*v - 3, 0 = 2*c - 2*v - 8. Suppose -6*p - 5*y = -p - 5, c*p + 2*y = 8. Calculate k(p).
-5
Suppose -7*n = -2*n - 10. Let f(v) = -v**2 - 3*v + 7. Let r(g) = g**2 + 2*g - 6. Let i(c) = -5*f(c) - 6*r(c). Give i(n).
3
Let d(x) = -5*x**3 - 5*x**2 - 2*x - 2*x + 5 + 4*x**3. Let b = 70 - 74. What is d(b)?
5
Suppose -13*p + 3 + 23 = 0. Let q(i) = -7*i + 3. Determine q(p).
-11
Suppose -i = -2 - 3. Let m(h) be the third derivative of h**4/24 - 2*h**3/3 - 2*h**2. Give m(i).
1
Suppose -9 = -4*u + u. Let h be -1 + (-3)/(u/(-4)). Let f(s) = -2*s - 12 - h*s + 4*s. Determine f(-5).
-7
Suppose y - 12 = 2*m, 3*y - m - 2 = 19. Let z(b) = b - 5. Let k be z(y). Let q(u) be the second derivative of u**4/6 - u**3/6 + 10*u. Give q(k).
1
Let o(z) = z**3 - 4*z**2 + 3*z. Let k(a) = a + 4. Let g be k(0). Let y = g - -1. Let l(f) = f - 3. Let q be l(y). Determine o(q).
-2
Let g = -2 + 0. Let u(x) be the first derivative of 2*x**3/3 + x**2 - x - 96. Determine u(g).
3
Suppose 0 = -6*j + 8*j - 4. Let k(o) = 4*o**2 + 2*o + 4*o**2 + 0 - 6*o**j - 1. Determine k(-2).
3
Let x(o) = -o**3 + 2*o**2 + 3*o + 2. Let t be 4/10 - 16/(-10). Suppose -2*v - 2*j + 4 = 0, 3*j = t*j - 1. Calculate x(v).
2
Let s(l) = -l**2. Let h(z) = z**3 + 6*z**2 - z. Let u(w) = h(w) + 3*s(w). Let m(f) = f**3 - 6*f**2 - 6*f - 10. Let c = 7 - 0. Let y be m(c). Give u(y).
3
Let f(n) = n + 1. Let s(m) = -8*m + 1. Let i be s(-1). Let y = i + -5. Let v be f(y). Let a(p) = -p**2 + 5*p - 1. What is a(v)?
-1
Let w(r) be the third derivative of -r**6/180 - r**4/3 - 6*r**2. Let i(n) be the second derivative of w(n). Suppose 1 = 2*b + 3. What is i(b)?
4
Let z(p) = -p**2 + 6*p - 6. Let j = 7 - 4. Suppose 3*f - 8 = -4*x, j*f = 2*x + 2*f - 14. Let g be z(x). Let h(u) = -2*u**3 + u**2. Give h(g).
3
Let z = -17 + 12. Let s(u) = 11*u**3 - u**2 - 12*u + 8. Let i(y) = -5*y**3 + 6*y - 4. Let p(o) = -9*i(o) - 4*s(o). Give p(z).
9
Suppose -7*p + 2*y = -4*p, y = 5*p - 7. Let z(x) = -6 - x - x**p + 0*x + x**3 + 0*x. Give z(0).
-6
Let w(j) be the second derivative of j**4/12 + 2*j**2 - 16*j. Suppose 3*s - 6*s = 0. Calculate w(s).
4
Let m(k) = k - 1. Let r be m(3). Suppose -5*q + 26 = -2*t, -r*t + 6 = -q + 16. Let g(p) = -p**2 + 2*p + 4. Give g(q).
-4
Let t(x) = 3*x**3 - x**2 - 2*x - 1. Let n be t(-1). Let k(w) = 5*w + 2. Determine k(n).
-13
Let i(p) = 7*p**3 - 11*p**2 - 4*p + 6. Let x(h) = -15*h**3 + 23*h**2 + 8*h - 12. Let o(m) = 13*i(m) + 6*x(m). Calculate o(5).
-14
Suppose t + 13 = -t + p, p - 5 = 0. Let y(k) = k**3 - k**2 + k. Let q(j) = 6*j**3 + 11*j + 6. Let c(g) = -q(g) + 5*y(g). Determine c(t).
2
Suppose -2 = 4*h - 10. Let r = h + -3. Let u(d) = -2 - d**3 + 3 + 5*d**2 - 6*d**2. Give u(r).
1
Let s(h) be the third derivative of h**6/120 - h**4/24 + 13*h**3/3 + 31*h**2. Give s(0).
26
Let u be 2/3 - (-112)/12. Let l be (-4)/u - 54/(-10). Let f(b) = -3*b + 7. What is f(l)?
-8
Let l = 3 + 2. Let r(y) = y**2 - 8*y + 12. Let t be r(l). Let p(k) = k**3 + 2*k**2 - 4*k. What is p(t)?
3
Suppose 4*r = -r - 15. Let q(g) = g**3 - g**2 - g - 1. Let b(f) = 3*f**3 - 7*f**2 - 6*f - 5. Let y(z) = -b(z) + 4*q(z). Give y(r).
-5
Suppose -2*w = -6*w + 20. Let u = w - 7. Let c(o) = -2*o**2 - 2*o - 1. What is c(u)?
-5
Let i(t) = t + 1. Let c(w) = w. Let q(h) = -3*c(h) - i(h). Let y(x) be the first derivative of -x**2 + x - 1. Let k be y(1). Give q(k).
3
Let j(o) = o**2 + 4*o - 5. Let g = 3 - 1. Suppose -11 = g*w + 1. What is j(w)?
7
Let t(a) = a + 2. Suppose n - 4*n = -75. Suppose -2*h - 10 = -4*y - 30, 4*h + n = -5*y. Determine t(h).
2
Let q(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 - 4*a. Let l(r) = -r**3 + 7*r**2 - 7*r + 7. Let w be l(6). What is q(w)?
1
Let k(b) = -b + 3. Let w be (-56)/(-12) - 4/6. Suppose -2*g + 67 = 5*v, 5*g - 45 - 12 = -w*v. Suppose -2*t - 9 = 3*d + 2, 0 = 4*d + t + v. Give k(d).
6
Let t(z) be the third derivative of z**5/60 + z**3/6 - 24*z**2. Determine t(-2).
5
Let b(q) = -q**3 + 7*q**2 - 16 + 6 + 1. Give b(7).
-9
Let i(v) = v**2 - v - 3. Let h be i(3). Let r(p) = 2*p**2 + 2 + 2 + 2 - h*p**2 + 6*p. Calculate r(5).
11
Let o be 10/(-2)*(-3)/3. Let u(v) = -v**3 + 4*v**2 + 5*v - 1. Determine u(o).
-1
Let t be (5/3)/((-1)/3). Let m(b) be the second derivative of b**6/720 + b**5/120 - b**4/6 - 2*b. Let c(f) be the third derivative of m(f). What is c(t)?
-4
Let z(m) be the first derivative of m**3/3 - 3*m**2/2 + 12. Calculate z(5).
10
Let i be ((-15)/12)/(-2*3/(-24)). Let t(a) = -a - 2. Give t(i).
3
Let t(m) = 2*m + 3. Let o(r) = r**2 - r - 5. Let k be o(0). Determine t(k).
-7
Let l(r) be the first derivative of -1/3*r**3 - 1/2*r**2 + 3/2*r**4 - 2 - r. Suppose 5 = -7*d + 2*d. Determine l(d).
-7
Let n(b) = -3*b + 2*b - 2*b + 4 + b. Determine n(4).
-4
Let w be (-21)/(-9) + 2/3. Let v(y) = -y**3 - 2*y + 4*y**3 + 2 + 3*y**2 - 4*y**3 + 0*y**w. Determine v(2).
2
Suppose -2*p = p - 18. Let y(h) = -h**3 + 2*h**3 - p*h**2 + 0*h**3 - 6 + 9*h - 2*h. Determine y(5).
4
Suppose -f + 3*v + 6 = -3, f + 4*v = -19. Let k(t) = t**2 + t - 1. Determine k(f).
5
Suppose 6 = 5*s + 1. Let c(v) = 23*v**2 - 6*v + 14. Let x(g) = 8*g**2 - 2*g + 5. Let d(m) = -4*c(m) + 11*x(m). Calculate d(s).
-3
Let k(r) = r**2 - 5*r + 3. Let n(u) = -5*u**2 + 20*u - 13. Let s(h) = 9*k(h) + 2*n(h). Determine s(-5).
1
Let k(a) be the first derivative of -a**4/4 - 2*a**3 + 6*a + 3. Let m be k(-6). Let t(l) = l. Determine t(m).
6
Let l(k) = k - 3. Let x be l(0). Let s(t) = -3*t - 132*t**2 + 65*t**2 + 66*t**2 - 3. Calculate s(x).
-3
Let y(p) = -14*p**2 - 1. Let b(q) = -q + 6. Let f be b(5). What is y(f)?
-15
Let m(u) = 5*u**3 - 2*u**2 + 2*u - 1. Let g be m(1). Let a be 4/(-2) + g + -1. Let b(i) = -i**2 + 5*i**3 - 4*i + 3*i + a + 0. Determine b(1).
4
Let o(j) = -j + 4 + 1 + 2*j. Let h(a) = -a**3 - 9*a**2 + 2*a**3 + 3 + 0 + a - 2*a**3. Let z be h( | {
"pile_set_name": "DM Mathematics"
} |
uppose -3*r - 51 = 3*l, -6*r - 40 = -r - b*l. Let k be -2 - r - 1 - 0. Solve s = -2*s + k for s.
3
Let d(b) = b**3 - 7*b**2 - 9*b + 11. Let j be d(8). Suppose 0 = -4*c + 4. Solve s = c - j for s.
-2
Let n = -4 - -4. Let b = 2 + n. Suppose 5*s - 3*c + 2*c - 28 = 0, -b*s + 2*c = -16. Solve -s*y = -y - 12 for y.
3
Suppose 0 = 4*t + 2*d - d + 12, d + 8 = -3*t. Let s(w) = w + 7. Let j be s(t). Solve j*o + o = -8 for o.
-2
Let f(l) = l**2 + 7*l - 9. Let r be f(-10). Let c = -18 + r. Solve c*v = -3 + 18 for v.
5
Let u(t) be the first derivative of -t**4/4 + 2*t**3 + 3*t**2/2 - 15*t - 8. Let d be u(6). Solve 8 = -s + d*s for s.
4
Let q(b) = b**2 - 4*b + 3. Suppose 0 = t + 4*c - 4, 2*t - 30 = 2*c - 12. Suppose -3*w = -t*w + 15. Let s be q(w). Solve 2*m + s*m = 4 for m.
2
Let p(z) = -z**3 + 4*z**2 - z + 1. Let r be p(3). Suppose -4*k = -r - 29. Solve k = s + 2*s for s.
3
Let u be -2 + 3 + 24/3. Let c be ((-3)/(-2))/(u/120). Solve 4*j = 8*j - c for j.
5
Suppose b = -2*b - 9. Let t be -2 - (2 + b + -7). Solve t*i - 4 = 8*i for i.
-2
Suppose 0 = -3*x - 0*x - j + 13, 10 = 3*x - 2*j. Suppose x*v = r + 16, 2*v = 2*r + 2*r + 22. Solve -d - 8 = v*d for d.
-2
Let h(y) = 10*y - 48. Let p be h(5). Solve 5*c = p*c + 3 for c.
1
Suppose 2*m = a - 4 - 9, 4*m + 16 = 0. Let u be (14/5)/(1/a). Solve -u = -4*n - 2 for n.
3
Let q be (-14 + 8)/(2/(-1)). Suppose -2*v - 4*y = -4*v + 8, q*y - 12 = -3*v. Solve 0 = -2*m - v + 2 for m.
-1
Suppose -2*o = -o + 3. Let k = o - -3. Solve k = q - 2 for q.
2
Suppose -m - m = -38. Let x = m + -10. Let q be -2*(x/6)/(-1). Solve -q*s - 16 = -7*s for s.
4
Let y(q) = q**2 + 11*q + 12. Let k be y(-10). Let d be (-2)/(-7) - (-10)/14. Solve -d = k*v + 5 for v.
-3
Suppose 8*t - 3*t + s - 14 = 0, -4*t + s = -13. Solve -7*q + t*q = 4 for q.
-1
Suppose 1 = x, 4*x = 5*p - 9 + 3. Suppose 3*m - 23 = -p*w, w - 36 = -5*m - 0. Suppose z + 4*b + 15 = 0, -3*z + m = -0*z - b. Solve 2*f - 3 - z = 0 for f.
2
Let p = -92 - -92. Solve -h + 4 = -p for h.
4
Suppose -4*o + 12 = 0, 19 = 5*q + 6*o - 3*o. Let z = 5 - q. Let l(x) = -x**3 + 18*x**2 + 17*x + 38. Let s be l(19). Solve 4*c - z*c - 4 = s for c.
4
Suppose -8*j + 12*j - 8 = 0. Solve 0 = -j*i + 3*i - 3 for i.
3
Let l(r) = r**2 - 11*r + 2. Let h be l(11). Solve b + h = -b for b.
-1
Let b(w) = 2*w**2 - 2*w - 1. Let a be b(2). Let d = 27 + -19. Solve q + d = a*q for q.
4
Suppose p = -4*k + 4, -4*p - 3*k - 1 = -4. Solve 3*c + p*c = 0 for c.
0
Suppose -4*h + 0*t = -5*t - 25, -3*h = 2*t + 10. Solve h*q - 5*q + 20 = 0 for q.
4
Suppose 4*j - 21 = -5. Solve -5*q - j = -24 for q.
4
Let z(g) = -g**2 - 5*g - 2. Let u be z(-4). Let d be 1/u*(10 + 2). Solve 0 = -k - k + d for k.
3
Let r = -6 + 10. Let l(v) = v**3 - 5*v**2 + 3*v + 4. Let c be l(r). Solve c*i = -5*i for i.
0
Suppose 3*f = 3 + 24. Suppose -t = -3*d - 25 + 3, 0 = -2*d + 4*t + 2. Let v be d/(6 + -3) - -8. Solve -v*l = f - 4 for l.
-1
Let u be (-2)/(-1) + (-3 - -4). Suppose 3*a - u*d + 3 = 0, -2*d = 3*a - 0*a - 12. Solve -c + 3 = -a for c.
5
Let w be (-4)/(-3) - (-204)/(-18). Let b = -8 - w. Solve -2*t = b*t for t.
0
Let k = -1 + 0. Let d = k - -2. Solve d = 4*t - 3 for t.
1
Let c(z) = z - 4. Let f be c(-7). Let g = 16 + f. Solve 5 = g*u + 15 for u.
-2
Let z be (18 + (-4 - 0))/2 + -3. Solve -3*s = -2*s + z for s.
-4
Suppose 3*r + 0 = -12. Let i = 7 + r. Solve -i*h + 2 = -4 for h.
2
Let n be -8*(-2)/7 + 6/(-21). Solve u = -n*u - 6 for u.
-2
Let p(l) = l**2 + l + 1. Let z be -4 - 0/(2 + 1). Let a be p(z). Suppose a = 4*m + 1. Solve 0 = -2*q + m - 9 for q.
-3
Suppose 0 = -2*l - 4*p - 12, 2*l - 2*p = l + 6. Let b(v) = -v**3 + 6*v**2 + 2*v - 8. Let w be b(6). Suppose -w*r + 8 = -0. Solve r*d + 2*d + 20 = l for d.
-5
Let r(g) = 3*g + 17. Let c(y) = -y**3 - 5*y**2 + 6*y - 5. Let u be c(-6). Let k be r(u). Solve 4 + k = -2*i for i.
-3
Let t(r) = 7*r - 4. Let n be t(3). Let o(p) = p**2 - 16*p - 10. Let h be o(n). Solve -3*x = -h*x for x.
0
Let z(k) = k**3 + 11*k**2 + k + 8. Let i be z(-11). Let l be -2*((-2)/(-4) + i). Solve c = l*c - 16 for c.
4
Suppose -6*h + 10*h - 8 = 0. Solve 3*m + 13 = -h for m.
-5
Let x(f) = -f**3 + f**2 + 2*f + 1. Let i be x(3). Let q = i - -16. Solve -3*z + q = 2*z for z.
1
Suppose 2*b = 7*b - 25. Suppose 8 = b*a - 12. Suppose 0 = -5*t + 3*t + a. Solve z = t*z for z.
0
Let o = 6 + -2. Let q = o - 1. Solve -8*m - 20 = -q*m for m.
-4
Let y = -216 + 218. Suppose -5*f + 68 = -57. Solve -3*j - y*j + f = 0 for j.
5
Let p = -129 - -134. Solve 11 = p*b - 9 for b.
4
Suppose 3*i = i + 6. Solve -i*r = r - 12 for r.
3
Let t be (-12)/8 - (-6)/(-4). Let p be 5*(51/15 + t). Solve p*u + 0*u = 0 for u.
0
Suppose -5*x + 0*x + 5*u = -85, 3*u + 29 = 2*x. Solve 5*m = x - 7 for m.
3
Suppose 2*c - 3*u - 9 = 1, -2*c - u + 10 = 0. Let j = -2 + c. Solve j*o + o - 20 = 0 for o.
5
Suppose -2 = 5*w - z, 2*w - 4*z + 8 = -w. Suppose w = -x, 2*k + 40 = -3*k - x. Let l = -5 - k. Solve l*r = 5 - 17 for r.
-4
Let v be 29/6 + 2/12. Suppose -7*i = -v*i. Solve i = 2*f - f - 3 for f.
3
Let z = 4 - 2. Let y be 6*2*4/12. Suppose i - z*i + y = 0. Solve -i = 3*k + 8 for k.
-4
Let f(d) be the first derivative of -4*d**2 + d + 2. Let m be f(-2). Let k = m - 9. Solve -6*o = -4*o - k for o.
4
Let c(f) = -f**2 + f + 40. Let s be c(0). Let l be (-1)/(3 + s/(-12)). Solve -l*k + 15 = -8*k for k.
-3
Let l(p) = -p**2 - 11*p - 9. Let x be l(-10). Let z be (x - 1)/((-8)/8). Solve -d + z + 2 = 0 for d.
2
Let u(p) = -p**3 + 4*p**2 - 2*p - 2. Let m be u(2). Suppose -2*x - 7*b + 2 = -2*b, x + m*b = 2. Let v = x + -3. Solve 0 = -d - v*d - 4 for d.
-1
Suppose -5*a = -5*s - 20, 4*s - s + 12 = 2*a. Let p be ((-7)/9 - -1) + 80/45. Solve a = 2*t + p - 10 for t.
4
Let u be 2/5 - (21/15 - 4). Solve -u*q = -0*q + 3 for q.
-1
Suppose -3*t + 9 = 3. Let f be 16/t*(-2)/(-4). Suppose 4*l + 39 = m, 0 = -f*m + 2*l - 5*l + 137. Solve m - 10 = 5*w for w.
5
Let j(l) = l**3 - 6*l**2 + 13*l - 14. Let s be j(4). Solve s*n = 11*n - 5 for n.
1
Suppose 0 = 6*y - 7*y + 7. Solve 8 = 5*u - y for u.
3
Suppose 6*r - 3 = 5*r. Solve r*s - 3 = -0*s for s.
1
Let g be (-2)/4 - 1/(-2). Solve 6 = -3*b - g for b.
-2
Let t be 57/9 + (-2)/6. Suppose -3*l = 6, 10 = -p - t*l + l. Solve o + p*o = 4 for o.
4
Let u(y) = y - 3. Let p be u(8). Let v(t) = 5*t**3 + t**2 + t - 1. Let m be v(1). Let z be (32/m)/(p/15). Solve -5*r + r = z for r.
-4
Let p(x) = -x**2 - 9*x - 14. Let g be p(-7). Solve 0 = -g*l - 6*l for l.
0
Suppose -t + 5*t = i - 20, 0 = -5*i + 2*t + 10. Solve -5*n - 10 - 5 = i for n.
-3
Let x(u) = u**3 + 4*u**2 - 2*u - 5. Let o be x(-4). Let y be (-2)/8 + (-3)/4. Let m be o - 0*(0 + y). Solve m*z = 5 + 1 for z.
2
Suppose -3*c + 4 = -5, 4*c - 15 = -d. Solve 0*j + 6 = d*j for j.
2
Let i = 17 + -11. Solve s - i*s = 0 for s.
0
Suppose -4*q - 2*g + 62 = 0, -g - 8 = -q + g. Solve -2 = 4*o - q for o.
3
Let g(l) = 2*l**3 - 4*l**2 + 2*l + 2. Let c be g(2). Solve -5*m = -c*m - 5 for m.
-5
Let q = -8 - -7. Suppose 4*u - 8 = 4*b, 5*b = -5*u + 7*u - 16. Let o be q*(u + 2)/3. Solve o = -3*c + 2*c - 3 for c.
-3
Suppose 0 = -3*x - 0*z - 4*z + 65, -85 = -5*x - 2*z. Suppose 2*a = -3*a + x. Solve -3*g + a = -2*g for g.
3
Let s = -38 - -38. Solve s*j = 2*j for j.
0
Let v(w) = 2*w - 7. Let i be v(5). Solve -i = -2*x + 1 for x.
2
Suppose -t = -i + 5*i + 12, -3*i = 2*t + 4. Let z be i/(-10) + 76/10. Suppose o = 3*o - z. Solve o*p - 3*p = 2 for p.
2
Let z(a) = -1 - a**3 + a - 2 - 2*a**2 + 0*a**3. Let p be z(-3). Suppose -p*i + 0*t = -2*t - 30, -t = -5*i + 57. Solve i = -5*q + 2 for q.
-2
Let i be (-6)/(-24) + (-59)/(-4). Let q = 30 - 26. Solve -q*f - i = -9*f for f.
3
Let t(b) = -b - 12. Let p(y) = -y - 11. Let j(f) = 5*p(f) - 4*t(f). Let i be j(-9). Suppose 3*s + 2 = 2*q, 2*q - 3*s + i = q. Solve -4 = q*g - 0*g for g.
-1
Let w = 10 + -8. Suppose -w*f + 2*z + 16 = 0, 0*z - 16 = 4*z. Let m = -22 + 37. Solve -f*y + m = -y for y.
5
Let a = 5 - -5. Solve -a = -h - h for h.
5
Let h be -7 - (-88)/(3 + 5). Suppose 4*z - 5*q + 5 = -0*z, 2*z = q - 1. Solve -h*u + u = z for u.
0
Suppose 5*i - 201 - 69 = 0. Suppose 2*g + 2*g - i = -5*o, 4*o - g = 39. Solve 0*p + o = -2*p for p.
-5
Let z be 52/6*3/2. Let q = z + -4. Suppose 3*d = -3 + q. Solve 2*k = d - 0 for k.
1
Let c(q) = -q**3 + 2*q**2 + 3*q - 3. Let v be c(2). Let j(p) = p - 1. Let l be j(v). Suppose 2*t = -l*t + | {
"pile_set_name": "DM Mathematics"
} |
/9 + h. What is the second biggest value in t, 3, 5/2?
5/2
Let i(q) = 2*q - 2 + q**2 - 3*q**2 + q**2 - 1 + 7*q**3 - q**2. Let k be i(1). Which is the smallest value? (a) k (b) -1/6 (c) -1/2 (d) 0
c
Let y = -0.19 - -0.12. Let w = y + -0.33. Let p = -1979/7932 - 1/1983. Which is the second biggest value? (a) p (b) w (c) -2
b
Let z = -19214 - -19214.1. What is the fourth smallest value in z, 1/3, -3, -960, -2?
z
Let u = -4177 - -4177.62. Which is the fourth biggest value? (a) u (b) 7/3 (c) 3 (d) 0.5
d
Let y = 102 - 7. Let n = -95.2 + y. Suppose -24 = -3*g + 2*v, 4 = -g + v + 13. What is the third smallest value in g, -5, n?
g
Let k be 64/10 - 12/30. Suppose -1419*o = -1421*o. Which is the third smallest value? (a) o (b) k (c) 3/4
b
Let p = -10470 - -10475. What is the biggest value in -3, 0.5, p, -8/11?
p
Let o(y) = 2*y**3 + 7*y**2 + 103*y + 298. Let s be o(-3). Let x = 1 + -0.98. Which is the biggest value? (a) x (b) -0.1 (c) 6 (d) s
c
Let n = 3 + 0. Let g = 11977 + -11960. Which is the fourth biggest value? (a) n (b) 2 (c) g (d) -1/3
d
Let x = 0.45 + -0.05. Let w = -0.3 + -0.1. Let j = -11047.04 - -11047. Which is the third smallest value? (a) j (b) w (c) x (d) 3
c
Let w = 5.054 + -0.054. Which is the second biggest value? (a) -2/5 (b) -1.57 (c) -4 (d) 1/2 (e) w
d
Let l = 4.3 - 4. Let p = 6 - 5.9. Let u(n) = 66*n - 722. Let j be u(11). Which is the second smallest value? (a) j (b) p (c) -2/15 (d) l
b
Let r = -133472/5 - -26694. Let w be 9/(-2) + (-2)/(-4). Which is the biggest value? (a) -5 (b) w (c) 0.3 (d) r
c
Let v(k) = -k + 14. Let u be v(0). Suppose -h = -4*o - 18 - u, 28 = h - 3*o. Suppose -72 = -h*n + 4*n. What is the third smallest value in 0.1, n, -5?
n
Let j = 174 + -174.185. Let i = j + 0.165. What is the second biggest value in 4, -0.3, i?
i
Let b = -835.1 + 834.7. What is the fourth biggest value in -8, 3, b, -5?
-8
Let f(x) = x**3 - 4*x**2. Let a be f(4). Let s = 0.03 - 9.03. Suppose -5*g = -g - 8. What is the second smallest value in s, a, g?
a
Let r = -254 - -258. Suppose 106*l + r*o = 102*l + 28, 5*l + o - 15 = 0. Which is the third smallest value? (a) l (b) -166 (c) 1
a
Let j = -0.26 + -3.34. Let g = j + 7.8. Let b = 4.6 - g. What is the second biggest value in b, -5, 3/5?
b
Let k(w) = -w**3 + 79*w**2 - 80*w + 157. Let j be k(78). Which is the fifth biggest value? (a) -4 (b) 3 (c) -1 (d) -0.05 (e) j
a
Let w = -639 - -7667/12. Let r be 3*1*(-9)/(-81). Which is the third biggest value? (a) r (b) -5 (c) 1 (d) w
d
Let v = 250 - 269. Let i = 561.1 - 561. Which is the third biggest value? (a) 1/4 (b) i (c) v (d) 4
b
Let m = -19/39 - -5528/11427. Let j = m + -285/2344. What is the smallest value in -0.01, j, -2?
-2
Let q(k) = -k**2 + k + 2. Let x be q(-2). Let r be (1/(-7)*-7)/(-5 + (-4664)/(-912)). Which is the second biggest value? (a) r (b) x (c) -5
b
Suppose -2*d - 8*d = -141 - 159. What is the fifth smallest value in d, -5, -0.5, 2/9, -0.3?
d
Let x = 0.233 + -0.133. Let f be 0 - (66/4)/11. Which is the second smallest value? (a) f (b) 2/9 (c) x (d) -1/3
d
Let s = 6852 + -6844. Which is the third biggest value? (a) 4/17 (b) s (c) 5
a
Let n be (-26)/39*27/294. Let m = n - -55/98. Which is the third biggest value? (a) m (b) 0 (c) -2/3
c
Let u = 6/7 - 43/42. Let l = -118/37 - -125/74. What is the third smallest value in u, 0.5, -2/13, l?
-2/13
Let k = -1.85 + 2. Let l = -56.8 - -56.8. Which is the biggest value? (a) -0.2 (b) k (c) l
b
Let u = -1148 - -10330/9. Let n be 0 - 4/(-24)*3. Which is the second biggest value? (a) 3 (b) n (c) 4 (d) u
a
Let n = -165 - -1156/7. Suppose 2*u - 3*x = -x, 0 = -3*u - 4*x + 7. Suppose -4*v + u = -2*l - 1, -5*l + 5*v = 0. What is the smallest value in -1/9, n, 0, l?
-1/9
Let i = 3173.95 - 3174. Which is the smallest value? (a) i (b) 91 (c) -3/2
c
Suppose 2*s - 3 = 5*p + 26, 21 = 3*s - 3*p. Let y = -137928 - -137976. Which is the second smallest value? (a) y (b) 1 (c) s
c
Let a = 183260/69 - 2656. What is the biggest value in -2/7, 1/2, a, 1?
1
Let g be ((-19)/10 + 2)/(124/(-10) + 13). Let x be (1 - -4) + 0/1. Which is the biggest value? (a) g (b) 6/11 (c) x
c
Let g = -0.016 + -0.084. Let i = 1.5 + -1.5. Let l = 2 - i. What is the fourth smallest value in l, -0.3, 0.5, g?
l
Let i = -468.47 + 473. Let d = 4.33 - i. Which is the third biggest value? (a) 3 (b) d (c) 2/15
b
Let g = 0.2 - 0.2. Suppose -40*m = -4*p - 36*m - 36, -p = -5*m + 29. Which is the second smallest value? (a) 10 (b) 9 (c) g (d) p
c
Suppose 0 = 4*f - 4 - 20. Let s be (-35612)/38682 + 16/14. What is the second smallest value in f, s, -3?
s
Let o be 6/10*(-6)/9. Let q = 188284 + -188283.9. Which is the third biggest value? (a) q (b) 2/3 (c) o
c
Let b = 354 - -843. Let x = b + -1197.1. Let w = -0.1 + 0.1. What is the smallest value in 3, -1, x, w?
-1
Let u be (2/(-3))/((-1098)/54 - -23). What is the fourth biggest value in -2/23, -0.2, 3/7, u?
u
Let z = 53/3 - 52/3. Let l(h) = 3*h**3 - 160*h**2 - 111*h + 160. Let k be l(54). Which is the third biggest value? (a) -11 (b) k (c) -3 (d) z
c
Let v be (2/(-48 - -4))/(((-171)/4)/(-9)). Which is the fourth smallest value? (a) 0.4 (b) 2 (c) 0 (d) v (e) -0.1
a
Let u be (77/(-3) + 1)*3. Let h(j) = -j**2 + 31*j + 358. Let g be h(-9). Let y = -2.93 - -2.53. Which is the biggest value? (a) 1 (b) y (c) u (d) g
a
Let x = -0.0459 + 0.0359. Let w = 2108/9 - 234. What is the third biggest value in -18, w, x?
-18
Let s = -0.058 - 0.942. Let q = 0.08 - 3.08. Let f = s + q. Which is the second smallest value? (a) f (b) -2/5 (c) -1/4
b
Suppose 4*v = -18 + 54. Let z be (378/12)/v + 3/6. Let g = 0 - -0.1. Which is the smallest value? (a) g (b) z (c) 5
a
Let t = -183 + 144. Let k = t - -116. What is the fourth smallest value in -0.2, 1, k, 3?
k
Let h = -0.0294 + 0.6294. Which is the second biggest value? (a) 5 (b) -2/11 (c) 3 (d) h
c
Let z be 33/(-22) + (-5805)/(-42). Let j = z + -137. What is the second smallest value in 7, j, 1/8?
1/8
Suppose 15*y - 39 = 2*y. Let b be (-714)/364 + y/2. What is the second smallest value in b, -4/7, 2/3?
b
Let q be ((-4)/(-10))/((-1)/5). Let n be (70/75)/(q/(-3)). Let w = -33.05 - -33.05. What is the biggest value in n, w, 3, -0.5?
3
Let g be (-6)/14 + (-320)/(-28). Let s(v) = -1 + 24 + 5 + 5 - 3*v. Let i be s(g). What is the second biggest value in 0.4, i, 0.06, 0.5?
0.4
Let g = 10 + -10.7. Let q = g - -0.3. Let i = -1308 - -1308.1. Which is the fourth biggest value? (a) q (b) i (c) -5 (d) 0.2
c
Let n(s) = -s**2 - s - 5. Let k be n(0). Let o = -149.86 + 149. Let f = o + 0.76. Which is the smallest value? (a) f (b) 0.5 (c) k (d) 0.2
c
Let m = 77 - 68. Suppose -l + 3*k - 11 = 0, l - m = -3*k - 2. What is the second smallest value in 0.4, -2/5, 9, l?
-2/5
Let v = -34920 - -34919.6. Which is the second biggest value? (a) -6167 (b) v (c) 3 (d) 1
d
Suppose g = -4*g - 2*w + 36, -5*g + 5*w + 50 = 0. Let c be 2 - 2/(g/7). Let p = 5271 - 5272. What is the second biggest value in p, 4, c?
c
Let m = 0.2 - 0.3. Let q = 307376 + -307375. Let h = 5.04 - 0.04. Which is the third smallest value? (a) m (b) q (c) h
c
Let s = -26 + 26.4. Let l = -12008/9 - -1334. Which is the third biggest value? (a) s (b) 0 (c) l (d) -1
c
Let h = -112.03 - -146.03. Which is the second smallest value? (a) 2/9 (b) h (c) 0.3 (d) 0 (e) -2/3
d
Suppose -3*u + 2 = 11. Let h = -205 + 208. Which is the second smallest value? (a) -0.01 (b) 0.5 (c) h (d) u
a
Let x = 670/3 - 2683/12. What is the second biggest value in -2/11, x, 1?
-2/11
Let l = -141.773 + -0.227. Let q = -99 - l. Which is the fourth smallest value? (a) 1/5 (b) 2/9 (c) q (d) -1
c
Let v be (-144)/(-384) - 405/(-8). Let h = v + -52. Which is the second biggest value? (a) -0.3 (b) -2/3 (c) h
b
Let t = 293 + -415. Let r = t - -124. Which is the second biggest value? (a) -2/11 (b) r (c) 0.9
c
Let v = 1.2 + -7. Let f = -6 - v. Let u be ((-30)/(-350))/((-4)/(-20)). Which is the third biggest value? (a) f (b) 1 (c) u
a
Let v = -17845 + 17845. Which is the second smallest value? (a) -0.0009 (b) v (c) -5 (d) 4
a
Let v = 2428.6 + -2429. Which is the fourth biggest value? (a) -43/8 (b) v (c) 1/3 (d) 0.4 | {
"pile_set_name": "DM Mathematics"
} |
20*n**2 - 4
What is the second derivative of c**3*s**2 - 5*c**3 + 13*c**2*s**2 - 2*c**2 - 10*c + 29*s**2 wrt c?
6*c*s**2 - 30*c + 26*s**2 - 4
What is the third derivative of 34*b*h**3*z**3 + b*z**2 + 38*b + 94*h**3*z**3 + 2*h**3*z - 3*h*z**2 wrt z?
204*b*h**3 + 564*h**3
Find the third derivative of -6*d**4*i - 2*d**3*i**2*p + 3*d**3*p**2 - d**2*i**2*p**2 + 2*d**2*i**2 + d**2*p - 16*i**2 wrt d.
-144*d*i - 12*i**2*p + 18*p**2
Find the third derivative of 35*v**5 - 2*v**4 - 27*v**2 - 3*v wrt v.
2100*v**2 - 48*v
What is the second derivative of -589*r**3 - 3*r**2 + 1465*r - 1 wrt r?
-3534*r - 6
What is the second derivative of -336*r**3 + 12*r - 14 wrt r?
-2016*r
What is the second derivative of 362*f**2*r - f*r + 28*f wrt f?
724*r
Differentiate -c**2*g**3*x - c**2*g**3*z**2 + 6*c**2*g**3*z - 2*c**2*g**2*z + 10*c**2*g*x*z**2 - 2*c*g**3*z**2 wrt x.
-c**2*g**3 + 10*c**2*g*z**2
Find the third derivative of -22*s**6 + s**4 + 1220*s**2.
-2640*s**3 + 24*s
Differentiate -306*f**2*s**2 - 6*f**2*s + 3762*f**2 with respect to s.
-612*f**2*s - 6*f**2
Differentiate -102*m**3*n*t**2 - 59*m**3*t**2 + m**2*t**2 - 2*m*t**2 + 2*n*t**2 with respect to n.
-102*m**3*t**2 + 2*t**2
What is the derivative of 92*m**2 + m + 114?
184*m + 1
What is the third derivative of 17*g*i**3*n*u - 2*g*i**3*n + 4*g*i*n + 2*g - i**3*u**3 - i**2*u**3 + i*u**3 + 1 wrt i?
102*g*n*u - 12*g*n - 6*u**3
What is the second derivative of -333*v**4 - 5*v**2 + 25837*v wrt v?
-3996*v**2 - 10
What is the third derivative of 10631*z**3 + 2*z**2 - 2324?
63786
What is the second derivative of -3*n**3*o**3*v + 2*n**3*o*v**2 + n**3*v**2 - 154*n**2*o*v + 8*n**2 + 1169*o**5*v**2 wrt o?
-18*n**3*o*v + 23380*o**3*v**2
Find the third derivative of 5*d**2*j**2*y**2 + 15*d**2*y**3 - 4*d*j**2*y**3 - 27*d*j**2 - 4*d*j*y**3 - d*y**2 wrt y.
90*d**2 - 24*d*j**2 - 24*d*j
What is the second derivative of 915*y**4 - 3*y**2 - 2004*y - 2?
10980*y**2 - 6
Find the first derivative of 5140*p - 2329 wrt p.
5140
Find the second derivative of 6*l**4 + 6*l**3 - 2*l**2 - 6*l - 89.
72*l**2 + 36*l - 4
Find the second derivative of -2*l**5*w + 1778*l**3*w**3 + 2*l*w**3 + 8*l*w**2 + 141*l wrt l.
-40*l**3*w + 10668*l*w**3
Differentiate 229*a - 160 with respect to a.
229
What is the first derivative of 21*c**2*f - 146*f wrt c?
42*c*f
What is the third derivative of c**6*k + 4*c**5*k + 2*c**3*k - 2*c**2*k + 6*c*k wrt c?
120*c**3*k + 240*c**2*k + 12*k
What is the second derivative of -63*o**2*r + 20*o*r + 4*r wrt o?
-126*r
What is the derivative of -20*c**2*i + 97*c**2 + 4*c*i**2 + i**2 wrt i?
-20*c**2 + 8*c*i + 2*i
Find the second derivative of -29*q**2*x**2 + q*x**2 - 94*x**2 wrt q.
-58*x**2
What is the third derivative of -3868*w**3 - 2211*w**2 wrt w?
-23208
What is the third derivative of -147*r**4 - r**2 - 17*r + 12?
-3528*r
What is the third derivative of 418*s**5 - 5*s**2 - 6*s?
25080*s**2
What is the first derivative of -39*g**3 - 9*g**2 + 510 wrt g?
-117*g**2 - 18*g
What is the second derivative of -230*y**2 + 37*y + 1?
-460
What is the first derivative of s**2 - 150*s - 263 wrt s?
2*s - 150
Differentiate -5*c**3*j + 5753*c**3 - 51*c**2*j + c + j wrt j.
-5*c**3 - 51*c**2 + 1
Find the third derivative of -6*i**4*r + 78*i**3*r + 3*i**2*r + 3*i*r wrt i.
-144*i*r + 468*r
Find the third derivative of -5*f**3*s - 197*f**3 - 36*f**2 - 37*f*s wrt f.
-30*s - 1182
What is the second derivative of 3*k**3 + 370*k**2 - 234*k - 2 wrt k?
18*k + 740
Find the third derivative of -41*r**5 - 12*r**3 + 767*r**2 wrt r.
-2460*r**2 - 72
Differentiate 12*d**4 + 44*d**3 + 385 with respect to d.
48*d**3 + 132*d**2
Find the first derivative of -112*c**4*k - 2*c*k + k - 291 wrt c.
-448*c**3*k - 2*k
What is the third derivative of 247*i*q**3 + 2*i*q**2 - 3*i - 3*q**3 + 113*q**2 wrt q?
1482*i - 18
Find the first derivative of 1268*v**2 - 908.
2536*v
Differentiate 1932*a**2*u**2 - 40*u**2 - 3*u wrt a.
3864*a*u**2
Find the third derivative of -2*k*r**4*s - 2*k*r*s - 8*k*s - 1071*r**3*s - 21*r**2*s wrt r.
-48*k*r*s - 6426*s
What is the second derivative of -104*f**5 + 371*f?
-2080*f**3
Differentiate -2*f**2*m*p**2 + 69*f**2*m*z + 2*f**2 - 2*f*p**2*z + 11*f*p**2 + 2*m*p + 2*z with respect to z.
69*f**2*m - 2*f*p**2 + 2
What is the second derivative of 22459*a**2*r**2 + 46*a**2 + 5*r + 1 wrt r?
44918*a**2
What is the third derivative of 2*h**2*q**3 + 66*h**2*q - 3*h**2 - 3986*h*q**3 + 7*h*q**2 - 2*q**3 - q**2 wrt q?
12*h**2 - 23916*h - 12
Differentiate -337*y + 387 wrt y.
-337
Find the third derivative of 32*k**3*q**3 + 17*k**3*q**2*t + 4*k**2*q**2*t**2 - 48*q**3*t**3 + 3*q**2*t**2 + 13*q*t**3 wrt q.
192*k**3 - 288*t**3
What is the second derivative of -4655*l**2 + 3846*l?
-9310
Find the second derivative of -10*x**4 + 17*x**3 + x - 156.
-120*x**2 + 102*x
What is the third derivative of -28*j**5 - 2*j**3*r**3 + 314*j**2*r**3 wrt j?
-1680*j**2 - 12*r**3
Find the third derivative of a**3*p**2 - 16130*a**3*p + a**2*p**2 + 4*a**2 + 41*a*p**2 wrt a.
6*p**2 - 96780*p
Differentiate 2*g**4 + 23*g*p**2 + 120*p**2 wrt g.
8*g**3 + 23*p**2
What is the second derivative of 7*q**3*w**2 - 2*q**3*w - 22851*q**3 + 3*q**2*w**4 + 9*w**2 wrt w?
14*q**3 + 36*q**2*w**2 + 18
Find the third derivative of -2223*y**4 + 16*y**2 - 43*y + 1 wrt y.
-53352*y
Find the third derivative of -68*g**3*l**3*n + 2*g**3*l**3 + 2*g**2*l**2*n - 2*g**2 - 2*g*l**3 - l**3 wrt g.
-408*l**3*n + 12*l**3
Find the third derivative of 44*g**6 + 9*g**4 + g**3 + 1777*g**2.
5280*g**3 + 216*g + 6
Find the second derivative of -400*d**4 - 27*d.
-4800*d**2
What is the second derivative of -417*a*j**2*m*s**3 + 20*a*j**2*m + 91*a*j*m*s**3 + 2*a*j*s**3 + 2*a*m - 16*j*m*s**3 wrt j?
-834*a*m*s**3 + 40*a*m
Find the third derivative of -2*t**5 + 3363*t**4 - t**3 - 10151*t**2 wrt t.
-120*t**2 + 80712*t - 6
What is the third derivative of 48*b**3*c**3 - 757*b**3 + b**2*c**2 + 3*b*c**3 + 2*b*c - c**3 wrt c?
288*b**3 + 18*b - 6
What is the derivative of -72*k**2*q**2 - 153*k**2 + k*q**4 + k*q - 12*k + 6*q wrt q?
-144*k**2*q + 4*k*q**3 + k + 6
What is the second derivative of -50*i*s*v**3 + 4*i*s*v + 57*i*s - i*v - 20*s*v**3 - s - v**5 wrt v?
-300*i*s*v - 120*s*v - 20*v**3
Find the second derivative of 26*b**3 - 5*b**2 - b + 431.
156*b - 10
What is the first derivative of 4*n**3 - 19*n**2 + 96?
12*n**2 - 38*n
What is the second derivative of -16382*t**2 - 14280*t wrt t?
-32764
Find the second derivative of 10602*f**5 + 2378*f wrt f.
212040*f**3
Find the second derivative of -3*c**4 - 20*c**3 + 2*c**2 + c + 1172.
-36*c**2 - 120*c + 4
Differentiate 4531*f*x + 2617*x wrt f.
4531*x
What is the first derivative of 5283*t + 8227?
5283
Find the third derivative of 136*a*n**2*r**3 - 9*a*n*r**2 - a*r**3 + 2*a*r - n**2*r**3 + 2*n**2*r + 5*n*r**2 wrt r.
816*a*n**2 - 6*a - 6*n**2
What is the third derivative of -16*o**6 + 268*o**5 - 380*o**2 - 4*o wrt o?
-1920*o**3 + 16080*o**2
What is the first derivative of -9515*q*s + 23*s - 40 wrt q?
-9515*s
What is the first derivative of -496*r**3 - 10*r - 4427?
-1488*r**2 - 10
What is the third derivative of 1252*m**3 - 7*m**2 - 2*m - 19?
7512
What is the second derivative of -12*j*l*r**2 - 84*j*l*r + 2*j*l + j*r**2 + 2*j*r - 3*l*r**2 + 9*r**2 wrt r?
-24*j*l + 2*j - 6*l + 18
Find the second derivative of -9622*d**5 - 1112*d + 3.
-192440*d**3
Find the second derivative of -25*f**2*q**3 - 2*f**2*q - 3*f**2 + 6*f*q + 2*f - 40*q**3 + 3*q**2 wrt f.
-50*q**3 - 4*q - 6
Differentiate j**2*v*x**3 - 13*j**2*v*x + 4*j**2*x**3 - 179*j**2*x + 7*j*v*x wrt v.
j**2*x**3 - 13*j**2*x + 7*j*x
Differentiate 553*w**3 + 2*w + 25 wrt w.
1659*w**2 + 2
What is the second derivative of 475*f**3*o**2 - 60*f**3 - 2*f*o wrt o?
950*f**3
Differentiate -609*h*s**2 - 1156*s**2 wrt h.
-609*s**2
What is the second derivative of -177*i**4 + 5*i**3 - 117*i + 2 wrt i?
-2124*i**2 + 30*i
What is the third derivative of 2*l**3*m**2*z + 6*l**3*m*z + 6*l**3*z + 11*l**2*z + 3*l**2 + l*m*z - m**2*z wrt l?
12*m**2*z + 36*m*z + 36*z
Differentiate -3*f**3*m + 42*f*m**2 - 81*m**2 + 5 wrt f.
-9*f**2*m + 42*m**2
What is the second derivative of 2*f**4 + 2*f**3 - 14*f**2*v**2 - 42*f*v**2 - v**2 wrt f?
24*f**2 + 12*f - 28*v**2
Find the third derivative of -t**4 + 89*t**3 + 726*t**2.
-24*t + 534
What is the second derivative of -12707*m**2*n**3 - | {
"pile_set_name": "DM Mathematics"
} |
j. Suppose -2*n + 4*n = p, 3*n - p = y. Solve -2*t = 4*b + 14, n + 9 = -t - 4*b for t.
-3
Let g = -262 + 254. Let k be (-2 - g/6)/(4/(-24)). Solve 12 = -2*u + k*t - 2, u - 5 = -t for u.
1
Let r = 16 + -9. Suppose 5*h = 2*k + 6, -8 = 27*k - 26*k - 5*h. Solve y + k*z - r = 6*y, -2*y + z - 2 = 0 for y.
-3
Suppose -i - 13*s + 12*s + 11 = 0, 1 = -i + 3*s. Solve -4*u + j = -3*j - i, -3*u = -j for u.
-1
Let f = 88 - 63. Suppose 5*l + 2*a - 5 = -1, f = 5*l - 5*a. Suppose 3*v + 2*v = l*d + 36, 0 = 5*v + 3*d - 21. Solve -v = 2*s + 2*y, 3 = -5*s - 3*y + 2*y for s.
0
Let z(d) = 7*d + 57. Let i be z(-4). Let o = i - 24. Solve 5*l + 1 = -3*a - 1, -o*a - l = 18 for a.
-4
Suppose -6005 + 245 = -12*z. Let i be (1/(-3))/((-80)/z). Solve 5*o - 6*o = -n + 8, -i*n = -8 for o.
-4
Let u = 108016 + -107992. Suppose 3*y + 3 - 9 = 0. Solve y*b - u = -5*j, -2*b - 4 = -2*j - 0*j for b.
2
Let i = -18 - -21. Suppose 4*r - 4*g + 440 = 0, -i*r + 6*g - g = 334. Let a = -95 - r. Solve 0*c = -h - 4*c - 9, 0 = 3*h - 2*c + a for h.
-5
Suppose -89*q + 93*q - 2 = -r, 2*r = -q + 4. Suppose 0 = r*s + o - 31, -4*o - 11 = -s - 3*o. Solve m - 6 = 5*x, -3*m + s = -7*m + x for m.
-4
Suppose 0 = 7*c + 162 + 6. Let m = 6 - 41. Let f = c - m. Solve j - 3 = -x - 0*j, -3*x + 2*j = f for x.
-1
Suppose 7*a + 156 = 11*a. Let v = 66 - a. Suppose -2*l - 3*o - 8 + 30 = 0, -3*l + v = 3*o. Solve l*m = 3*d - 24, 4*d + 2*m = -0*m + 6 for d.
3
Let h = 2954 - 2954. Solve -4*s - m = 15, h = 2*s + m + 9 for s.
-3
Suppose 4*s = 2*r - 448, -3*s - 341 = -0*s + r. Let f = -75 - s. Suppose 3*c = -14 + f. Solve 0 = -3*d + w - c, -9 = 2*d - 5*w + 18 for d.
-1
Let b be -14 + 10 + ((-10)/(-65) - 510/(-65)). Solve -n - 27 = 5*p, 5 = -b*p + 4*n - 7 for p.
-5
Suppose 4*f = s + 14, -3*s + f - 7 + 9 = 0. Solve -4*q - 9 = -q - 5*h, -h = -s*q - 6 for q.
-3
Suppose 4*v - 32 = 5*n, -5*v + 7*v - 5*n = 26. Solve 3*y + v*t = 21, 4*t + 5 = 5*y - 3 for y.
4
Let p(m) be the second derivative of -m**5/20 - 41*m**4/12 - 20*m**3/3 + 3*m**2/2 + 188*m. Let c be p(-40). Solve c*h = 3*n, 0 = h - 0*n + 2*n - 6 for h.
2
Let h(a) = a**3 - 8*a**2 + 7*a + 3. Suppose 5*r + 5*m - 10 - 35 = 0, 5*m - 17 = -r. Let d be h(r). Solve 2*t + 4*k = 8 + 10, -d*t + 12 = k for t.
3
Let j = 2577 - 2560. Solve -4*h + i + 26 = -i, -i + j = 4*h for h.
5
Let h be (2 - 7)*(-16)/(128/8). Solve -4*w = -8, -3*w - 65 = h*j - 61 for j.
-2
Let x(q) = q**3 - 10*q**2 + 17*q + 4. Let u be x(7). Let p be u*2/8*(-2 - -7). Let y be (-10)/((p/(-5))/(-3)). Solve -5*n = -3*c + 7 + y, -c = 5*n - 4 for n.
0
Suppose -2*q - 4*r = 19 - 77, -4*r = -24. Solve -u = 3, 8*u - q = -2*s + 11*u for s.
4
Suppose -u - 15 = -4*d, -3*d + u = -d - 7. Let q be -5*3/3 + (-100 - -105). Solve 0*o - 10 = -d*t + 3*o, -o + 2 = q for t.
4
Let d = -9152 - -9156. Solve -d*m = 5*n + 8, 3 - 13 = 5*m for n.
0
Let a be 3/4 - (-4518)/(-8). Let k = a + 567. Solve t = k*l + 5, 4 = 5*l + 2*t + 5 for l.
-1
Let b = -2 - -5. Let o(y) = 15*y - 86. Let i be 4/18 - (-364)/63. Let j be o(i). Solve -4*a = a - b*l - 12, -16 = -j*a - 4*l for a.
3
Let c(z) = z**3 - 21*z**2 + 19. Let d be c(21). Let f = -16 + d. Suppose 3*l = 2*p - 14, -f*l = -5*p + 4*p + 13. Solve -5*o + 5*h - 19 = p, -h = -2 for o.
-2
Let h(a) = -55*a + 4. Let w be h(-1). Let r = w - 47. Solve r = -5*u + 3*x, 5*u = -2*x - 14 - 3 for u.
-3
Suppose 0 = 271*g - 398 - 892 - 65. Solve -5*r - 5 = -g*t, 6*r + 4*t - 13 = 7*r for r.
3
Suppose 11*p = 12*p - 6*p + 15. Solve -5*d + v = 13 + 12, 3*d - p = -3*v for d.
-4
Let r(f) = -189*f + 22117. Let d be r(117). Suppose 0 = 3*t + 4*c - 57, -c = 4*t - 24 - 52. Solve -4*n + 22 = -5*x - t, 0 = -d*x - 5*n for x.
-5
Let r = 36720 + -36716. Solve r*p - 8 = 5*k, -5*k - 32*p - 2 = -33*p for k.
0
Let c = 2 - -13. Let f be (20/c)/((-2)/(-6)). Solve 1 = b - 3*v - 2, 0 = f*v for b.
3
Suppose -3283 = -3*u - 4*u. Let f = u - 459. Solve -3*o + 17 = 4*t, 3*o - 7*o + f = -t for o.
3
Let m = -1150 - -1155. Let k(l) = 2*l + 11. Let b be k(7). Let t = -21 + b. Solve 3 = -m*u - t*r, 2 = -2*r - 2 for u.
1
Let v be 0 - (4 + 8 + -16). Let a be (-1 + 6/v)/(35/70). Solve -3*f + a = -4*l, -3*f - 4 - 7 = -l for l.
-4
Let x = -2121 - -2126. Solve -11 = -u - 5*v + 5, -x*v = 5*u for u.
-4
Suppose 6*j - 694 = -574. Suppose 217*g - j = 213*g. Solve 4*z = -2*a - 2, -g*a + 0 = -3*z + 5 for z.
0
Suppose 106 = -16*c + 138. Solve -5*b = -10*b - c*p + 31, 3*b = 5*p for b.
5
Let d(u) = u**3 - 7*u**2 + 5*u + 20. Let i be d(6). Solve 5*h + 34 - 54 = 0, -m + i = 4*h for m.
-2
Let b(v) be the first derivative of 2*v**2 - 28*v + 3. Let s be b(9). Solve -5*m = -4*f + s - 0, 3*m - 5*f = -10 for m.
0
Let k(p) = 0 + 0*p - 4*p + 5*p - 12. Let h = 13 + 2. Let y be k(h). Solve v + y*u - 19 = -2*u, 4*u - 20 = -2*v for v.
4
Let m(h) be the third derivative of h**5/60 + 13*h**4/6 - 110*h**3/3 - 218*h**2. Let s be m(4). Solve 0 = -s*f - 8, 7*f = a + 3*f - 8 for a.
0
Suppose 66*x - 913 = 44*x - 61*x. Solve -2*y - 5*b + b = 14, 3*y + b + x = 0 for y.
-3
Let u be 4/((-7 - (-114)/14)/2). Solve -72*t = -71*t - 4*n + u, -11 = 3*t - 2*n for t.
-3
Suppose -3*n = -2*x - 24, -3*x + 18 = 5*n - 41. Suppose -q = 5*y - n, 4*q + 4 = y + y. Solve -a = -q*p + p + 6, 16 = 4*a - 4*p for a.
-1
Let j(q) = 7*q + 87. Let p be j(-10). Suppose 0 = 21*w - p*w - 16. Suppose 4*o = -2*n, -5*o = -10*o + 2*n. Solve 5*x - 3*z + 5 = o, 2*x - w*x + 12 = -4*z for x.
-4
Suppose -5*n + 60 = 5*l, n = 25*l - 21*l - 23. Solve 7 = -2*y + 1, n*y + 7 = -2*x for x.
4
Suppose -77*i + 380 = -50*i + 49*i. Solve -4*r = 2*f - 14, -152*f - i*r = -148*f - 16 for f.
-1
Suppose 0 = 3*w + 2*w + 30. Let y be 22/(-33) + (-76)/w. Solve x = 2*c - 8 + 2, -4*x = -4*c + y for c.
3
Let a(i) = -i**3 + 23*i**2 - 19*i - 9. Let v be a(22). Let w be (24/(-9))/((-38)/v). Solve 0*m - 2*m + 10 = b, w*m = -b + 18 for b.
2
Let a be 90/(-10) + ((-26)/(-14))/((-5)/280*-8). Suppose -4*b = -0*b - 16. Solve -2*c - b*s = -a, -4*s + 8 = -0*c + 3*c for c.
4
Let a(z) = -14*z**2 - 43*z - 1. Let k be a(-3). Solve 3*d - 29 = 4*l, -k*d + 15 = -l + 4 for d.
3
Suppose 0*b = -5*b. Let q(v) = -2*v**2 - 36*v + 54. Let u be q(-21). Let g be (u - -69)*10/(-6). Solve b = -2*s + p + 7, -27 = -5*s + g*p + 3 for s.
1
Suppose b - 6 = 42. Let o = b + -44. Solve o*i = 12, 0 = -s + 4*i - 2 - 11 for s.
-1
Suppose 23*z = 20*z + 21. Suppose z*g = -4*g + 176. Suppose 7*c + g = 11*c. Solve 0*v = c*v + 3*k + 28, 2*v = -k - 12 for v.
-4
Suppose 369 = 3*l + 357. Suppose 4*i - 12 = 0, l*i = y + 14 - 9. Solve 0 = -2*b - 2*v + y*v - 12, -v - 8 = -3*b for b.
4
Suppose 0*x - 18 = -x. Let k(l) = 94*l + 942. Let g be k(-10). Solve -y = -5*f - 2 - x, -5*y + 31 = -g*f for y.
5
Let x be (-64)/(-448) - (-34)/7. Solve 11*k - 11 = 10*k + 2*l, x*l + 20 = k for k.
5
Suppose j - 2*k + 2 = 10, 0 = -3*k + 3. Let a be -3*(-3)/18*j. Suppose 0 = u - a + 1. Solve -5*r - u*g - 12 = -r, 4*g - 9 = 3*r for r.
-3
Let o(g) = -2*g**2 - 20*g + 4*g - 7*g - g**2 + 12. Let i be o(-8). Solve 5*h - 3*b = 2*b - 15, -i*b = h - 7 for h.
-1
Suppose 233*v = 288*v - 1320. Solve -4*m - 12 = o, -2*m = -16*o + 21*o + v for o.
-4
Let f(g) = g**3 + 28*g**2 + 83*g + 1514. Let y be f(-27). Solve y*s = r - 11, -5*r - 7*s = -9*s - 7 for r.
-1
Let l(k) = 4*k**3 - 4*k**2 + 2*k + 1. Let b be l(1). Suppose n - y = 4, -6*n = -2*n + b*y - 23. Solve n*c - 5*i = -0*i - 5, -28 = -2*c - 4*i for c.
4
Suppose 2*p = -3*c + 48, -2*c + 5*p + 27 + 5 = 0. Suppose -38 = -11*r - c. Solve r*w - q = 6, w = 4*w - 3*q - 9 for w.
3
Let q(o) be the second derivative of 35*o**4/12 - 6*o**3 + o**2/2 - 203*o. Let v be q(1). Solve 3*i = -p - 10, -i = -4*p - v*i + 12 for p.
2
Suppose 5 + 2 = t. Let j(r) = -r**3 + 16*r**2 - 21*r + 20. Let k be j(14). Suppose y + k = 136. Solve 0 = h - 2*a + 5, 5*h + t + y = -a for h.
-5
Suppose 503 + 77 = 2*p. Let a = p + -287. Solve -4*c - 12 = o + a*o, 4*o + c = -6 for o.
-1
Let z be -1 - ((-3 - 3/4) + 6/8). Solve 5*a + 41 = -4*m, -z*m - 13*a = -8*a + 33 for m.
-4
Suppose 82*m + 96 = 94*m. Let k be (-2 + m + -6)/3. Solve 5*x = -2*r - 23, -4*x + k*x = -3*r + 23 for x.
-5
Suppose -3*z + 4*z - 4 = 0. Let l be (42/49)/(2/(-42)). Let j be 2/l*2 - 12/(-54). Solve z*d = -6*n + 2*n + 16, -n = j for d.
4
Let x(j) = j**2 + j + 7. Let c be x(-3). Let o(i) = i**2 - 12*i - 9. Let a be o(c). Let t be 20/8 + 2/(-4). Solve 5*k - 2*u | {
"pile_set_name": "DM Mathematics"
} |
4. Let a(d) = 2*h(d) + 5*u(d). Let t(x) = -65*x**2. Determine t(a(l)).
-65*l**2
Let f(s) = -s. Let i(z) = -z**2 - 4*z + 7. Suppose 4*t = 16 - 36. Let g be i(t). Let a(q) = -5*q**2 - 2*q**g + 2*q**2. What is a(f(y))?
-5*y**2
Let q(j) = -j**2. Let v(x) be the first derivative of -9*x**2/2 + 908*x - 6707. What is q(v(m))?
-81*m**2 + 16344*m - 824464
Let f(q) = 82*q**2 - 69*q**2 - 8 + 8. Let m(g) = 9*g + 2. What is m(f(a))?
117*a**2 + 2
Let z(b) = -b + 3 - 3. Let f(n) = -n**2 - 152*n + 5. Let c(x) = -7*x**2 + 608*x - 20. Let l(i) = c(i) + 4*f(i). Calculate z(l(s)).
11*s**2
Let y(i) be the third derivative of -19*i**5/30 + 33364*i**2. Let w(x) = -11*x. Let v(c) = -2*c. Let k(a) = -34*v(a) + 6*w(a). Calculate k(y(j)).
-76*j**2
Let s(d) = -220605407*d. Let y(x) = x**2. Calculate y(s(j)).
48666745597635649*j**2
Let l(b) = b**2. Let m(n) be the first derivative of 9*n**2 - 98*n - 1440. Determine m(l(w)).
18*w**2 - 98
Let b(f) = -53*f - 1. Let g(x) = 4*x**2 - 2*x - 6446. Give b(g(s)).
-212*s**2 + 106*s + 341637
Let d be (-2)/4 + (1 - 18/(-12)). Let o(j) = -5 + d*j + 5. Let r(y) = 3*y**2 + 10*y**2 + 7*y**2 - 7*y**2. Calculate o(r(p)).
26*p**2
Let o(l) = 95*l**2. Let k(z) = z + 27. Let i(x) = -10*x - 185. Let j(p) = -2*i(p) - 14*k(p). Give j(o(s)).
570*s**2 - 8
Let r(v) = -58*v + 3. Let l(t) = 214*t - 11. Let b(o) = -3*l(o) - 11*r(o). Let d(a) be the second derivative of 2*a + 0*a**2 + 0 + 7/6*a**3. What is b(d(j))?
-28*j
Let d(x) = 17*x. Let w(a) be the second derivative of 0*a**2 + 5/12*a**4 + 192*a + 0 + 0*a**3. Give d(w(h)).
85*h**2
Let m(i) = -16*i**2 - 7*i. Suppose -70 = -5*z - 5*q, -q = -5*z + q + 42. Let l(s) = -z*s + 17*s + s - 6*s. Give m(l(f)).
-64*f**2 - 14*f
Let p(v) be the third derivative of 0*v + 0 + 0*v**3 + 0*v**4 - 148*v**2 - 2/5*v**5. Let w(h) = -5*h**2. Calculate w(p(c)).
-2880*c**4
Let u(x) = 1607*x - 553*x + 334*x. Let p(f) = -4*f**2. What is u(p(s))?
-5552*s**2
Let p(f) = -1603*f. Let w(q) be the second derivative of q**4/12 + 1449*q. What is p(w(n))?
-1603*n**2
Let m(r) be the second derivative of r**4/3 - r**3/3 + 10*r**2 + 74*r. Let h(p) = 2*p. What is m(h(o))?
16*o**2 - 4*o + 20
Let f(n) = -6*n. Suppose -25*o - 4 = -54. Let m(z) = -4*z**o - 12*z**2 + 4*z**2. What is m(f(u))?
-432*u**2
Let j(o) = 68*o**3 + 5*o**2 - 13*o + 17. Let w be j(3). Let y(t) = -3*t + 1859 - w. Let x(m) = -149*m. Determine x(y(a)).
447*a
Let d(q) = 5451783*q**2. Let b(a) = -3*a. What is b(d(j))?
-16355349*j**2
Let z(g) = -g**2 - 17*g - 70. Let k be z(-8). Let n(r) = 654 - 654 - k*r. Let q(s) = -19*s**2. Determine q(n(w)).
-76*w**2
Let c(g) = 19*g. Let x(u) be the second derivative of 269*u**3/6 - 2*u - 26. What is c(x(m))?
5111*m
Let g(r) = 120*r - 411*r - 3*r**2 + 162*r + 129*r. Let a(q) = -q**2 - 4*q - 1. Let j be a(-3). Let o(l) = -l**j + l**2 - 4*l**2 + 3*l**2. Calculate g(o(n)).
-3*n**4
Let g(d) = d. Let k(s) be the first derivative of -57 - 1/3*s**3 + s**2 + 0*s. Determine g(k(i)).
-i**2 + 2*i
Let k(f) = -4*f**2. Let a(t) = 3098 - 7*t - 3098. Let h(n) be the second derivative of 155*n**3/6 + n. Let c(u) = 45*a(u) + 2*h(u). Give k(c(j)).
-100*j**2
Let v(w) = 2*w**2. Let l(f) = 1705685*f**2. What is v(l(q))?
5818722638450*q**4
Let r(l) be the third derivative of 23*l**5/60 - 53*l**3/6 - 14623*l**2. Let z(n) = -n**2. Give r(z(m)).
23*m**4 - 53
Suppose 3*i - 10 = -2*i. Let j(x) = 4 - x**2 - 6 + i. Let y(b) = 2*b + 17. Let f(a) = 3*a + 29. Let t(c) = -3*f(c) + 5*y(c). Calculate t(j(k)).
-k**2 - 2
Let s(r) = -r**2 - 9288. Let y(p) = -3085*p + 2. Determine s(y(v)).
-9517225*v**2 + 12340*v - 9292
Let s(h) = -2*h**2. Let c(z) = -282*z**2 + 245*z**2 + 257*z**2 + 135*z**2. Calculate s(c(u)).
-252050*u**4
Let v(b) = -437743*b. Let l(k) = -31*k**2. What is v(l(x))?
13570033*x**2
Let p(a) = -14*a**2. Let w = -15675 - -15675. Let q(b) be the second derivative of 27*b + 0*b**2 + w*b**3 + 0 + 1/12*b**4. Give p(q(u)).
-14*u**4
Let t(n) = 2*n. Suppose -56*v = -46*v. Let b(u) be the second derivative of 0*u**2 - 10*u + v + 2/3*u**4 + 0*u**3. Calculate b(t(h)).
32*h**2
Let d(g) = -g**2 - 8*g + 11. Let l be d(-9). Suppose -8*u + 1350 = -6*u. Let r(j) = -3*j**2 + 5*j**l + u - 675. Let b(w) = -20*w**2. What is r(b(p))?
800*p**4
Let r(v) = v**2 - v + 2. Let j(s) = 5*s**2 - 9*s + 18. Let z(q) = -4*j(q) + 36*r(q). Let i(f) = 32*f + 2. Calculate z(i(y)).
16384*y**2 + 2048*y + 64
Let v(m) = -364*m + 1469*m - 360*m - 350*m - 358*m. Let t(w) = -9*w + 11. Let a(i) = 5*i - 6. Let s(d) = 11*a(d) + 6*t(d). What is s(v(u))?
37*u
Let t(i) = 2*i + 77. Let f(v) = 4409*v. What is f(t(a))?
8818*a + 339493
Let t(f) = f - 3658. Let w(h) = 2*h**2 + 130*h. Determine w(t(s)).
2*s**2 - 14502*s + 26286388
Let x(f) be the first derivative of -f**4/24 + 55*f**2/2 - 2*f + 66. Let u(m) be the second derivative of x(m). Let c(r) = -157*r**2. What is u(c(s))?
157*s**2
Let w(j) = 6*j. Let b(a) = -7*a + 9774 + 49*a - 9775. Determine b(w(q)).
252*q - 1
Let h(o) = 74 - 37 - 37 + o**2. Let z(g) = -26*g + 74*g - 21*g - 34*g - 2*g**2. Calculate z(h(n)).
-2*n**4 - 7*n**2
Let p(r) = 2611337 - 2611337 + 3*r. Let a(k) be the third derivative of -k**7/1260 + k**4/24 - 2*k**2. Let s(g) be the second derivative of a(g). Give p(s(j)).
-6*j**2
Let k(v) = -v + 0*v + 0*v. Let p be (3/3)/(1/3). Let x(d) = -17*d + 1 + 6 - 10 + p. Give k(x(i)).
17*i
Let g(i) = -2*i**2. Let n(c) = c**2 + 7*c - 8. Let l be n(-8). Let k(p) = -11*p - p + l + 3 - p - 2. Calculate k(g(q)).
26*q**2 + 1
Let o(m) = 167*m + 9. Let f(p) be the first derivative of p**2/2 - 317. Give o(f(d)).
167*d + 9
Suppose 3*i + 21 = 3*c, 0 = -i + 4*i - 12. Let h(q) = -2 + 0 + c*q**2 + 2. Let k(o) = -2*o - 1896 + 1896. Determine h(k(t)).
44*t**2
Let o(i) = 297412*i**2 - i. Let a(j) = -79*j. Calculate o(a(t)).
1856148292*t**2 + 79*t
Let c(g) = -2*g. Let m = 4 + -1. Suppose -f - 2*f - m*b + 9 = 0, -3*b = 4*f - 17. Let h(y) = -12*y**2 + 6*y**2 - f*y**2. Determine c(h(x)).
28*x**2
Let s(g) = -2*g. Let k(v) = -176583630*v**2. Calculate s(k(c)).
353167260*c**2
Let p(y) = -144*y - 56. Let l(m) be the third derivative of -m**5/60 + 2*m**2 - 5515*m. Determine p(l(x)).
144*x**2 - 56
Let f(y) = -4*y**2. Let z(d) = 4*d - 8. Let i be (1/4 + 75/(-12))/(-2). Let v(l) = 0*l - l + 2*l - 3. Let k(q) = i*z(q) - 8*v(q). Give f(k(h)).
-64*h**2
Let a(j) = -872*j. Let n(w) = -45488*w**2. Calculate a(n(p)).
39665536*p**2
Let z(x) = -2*x + 32. Let v be 2/16*40*(-2)/(-5). Let j(p) = 7 - 28*p**v + 3 - 10 + 30*p**2. Calculate z(j(f)).
-4*f**2 + 32
Let j(z) = -97833*z. Let g(y) = 11*y + 8. What is g(j(l))?
-1076163*l + 8
Let d(b) = b. Suppose 3*c = x + 150, 5*c - 2*x - 251 = -0*c. Let t(u) = -24*u**2 - 21*u**2 + c*u**2. Determine t(d(r)).
4*r**2
Let h(b) = 3*b**2. Let k(c) be the second derivative of c**3/6 - 89*c**2/2 + 2*c + 80. Calculate k(h(d)).
3*d**2 - 89
Let n(q) be the second derivative of q**4/2 + 25*q. Let a(o) = -o. Let z(d) = -21*d**2 + 4*d. Let k(y) = 4*a(y) + z(y). Give n(k(w)).
2646*w**4
Let h(u) = -61*u**2 - u. Let b(a) be the second derivative of a**4/4 - 10*a + 29. Determine b(h(l)).
11163*l**4 + 366*l**3 + 3*l**2
Let u(s) = s + 17. Let c be 344/6 - 3/9. Suppose -14*l + 16*l = 238. Let x(z) = c*z + 61*z - l*z. Calculate x(u(g)).
-g - 17
Let d(f) = f + 36. Let s(m) = -69*m**2 - 5*m - 182. Let y(z) = -5*d(z) - s(z). Let u(l) = -14*l + 1. Give y(u(a)).
13524*a**2 - 1932*a + 71
Let r(p) = p**2. Let i(w) = 42083*w - 14. What is i(r(a))?
42083*a**2 - 14
Let a(x) be the second derivative of -x**4/12 - 32*x**2 - 148*x. Let w(m) be the first derivative of a(m). Let n(i) = 77*i**2 + 2. What is w(n(f))?
-154*f**2 - 4
Let k(v) = -v**2. Let c(u) = 15*u**2 + u - 5. Let y(x) = 1760*x**2 - 44*x + 220. Let j(o) = -132*c(o) - 3*y(o). What is j(k(z))?
-7260*z**4
Let g(t) = -89*t**2. Let v(a) = -184*a + 184*a - 8*a**2 + 25*a**2 - 15*a**2. Determine g(v(c)).
-356*c**4
Let t(l) = -3*l - 129. Let z(n) = 0 - 1006*n + 489*n + 522*n + 0. Calculate z(t(p)).
-15*p - 645
Let v(p) = 3*p**2. Let x(g) = 2. Let r(n) = n + 8. Let l(t) = -15*t - 129. Let u(d) = -2*l(d) - 33*r(d). Let s(w) = -u(w) - 3*x(w). Give v(s(j)).
27*j**2
Let l(h) = -9*h**2 - 168*h**2 - 102*h**2. Let t(g) be the third derivative of -g**4/12 - 16915*g**2. Calculate l(t(s)).
-1116*s**2
Let c(k) = -2389282*k**2. Let i(s) = -s**2. Give | {
"pile_set_name": "DM Mathematics"
} |
4). Calculate the remainder when 15 is divided by y - (9/m - -5).
3
Let q be 10/3*(-6)/(-5). Suppose 2*h = -4*j + 78, -2*j + q*h = -18 - 16. Suppose 10*r - 110 = 8*r. What is the remainder when r is divided by j?
17
Let s(l) = -4*l - 38. Suppose 4*g - y = 33, 3 = -y + 6. What is the remainder when g is divided by s(-11)?
3
Let v be (3/(-15)*2)/(1/(-220)). Let u = 107 - v. Calculate the remainder when 188 is divided by u.
17
Suppose -76*w + 68*w = -400. Calculate the remainder when w is divided by 22.
6
Suppose -7*r + 882 + 1603 = 0. What is the remainder when r is divided by 51?
49
Let x(d) = -5*d - 1. Let f be (2/((-4)/14))/1. Suppose -32 = -j + 5*a, 7*j - 28 = 4*j - 2*a. Calculate the remainder when x(f) is divided by j.
10
Let l = -6 + 9. Suppose p - l*r = 86, -3*r + 315 = 5*p - 25. What is the remainder when p is divided by 24?
23
Suppose -24*q = -5*q - 532. Let x be (-68)/(-6)*(-12)/4. Calculate the remainder when q is divided by (-4)/(-12) + x/(-6).
4
Let a be (-6)/3 - (-5 + 1). Let b = a - -6. What is the remainder when 23 is divided by b?
7
Let a = -5 + 243. Calculate the remainder when a is divided by 15.
13
Let w = 56 + -54. Suppose 0 = c, 2*c + 4 = w*h - 2*c. What is the remainder when h is divided by 2?
0
Suppose 68 = 6*h - 2*h. Suppose -4*j - 4*f + 9*f = -265, 264 = 4*j - 4*f. What is the remainder when j is divided by h?
14
Suppose 10*g - 8 = 22. Calculate the remainder when 1/g - ((-124)/6 - 2) is divided by 7.
2
Suppose 100 + 98 = 3*t + 2*a, -t + 4*a = -52. What is the remainder when 1533 is divided by t?
61
Suppose -5*l - 3*c = 3, 0 = -5*l + c + 1. Let g = 8 - l. Suppose 3*x - 10 - g = 0. Calculate the remainder when 22 is divided by x.
4
Let p = -272 - -314. Let q(t) = -3*t - 2. Let k be q(-8). Let a = p - k. What is the remainder when 39 is divided by a?
19
Calculate the remainder when 119 is divided by 3 + 10*(-21)/(-35).
2
Suppose -27*l + 3181 = 157. Calculate the remainder when l is divided by 34.
10
Let k = -41 - -39. What is the remainder when -1 + (k - -2) - -5*4 is divided by 11?
8
Suppose 927 = -5*p + 1637. What is the remainder when p is divided by 25?
17
Let b = 5 + -2. Suppose 2*o - 18 = 3*l + l, 0 = -5*o + b*l + 38. Let c = o + 0. What is the remainder when 24 is divided by c?
3
Let g = -2609 - -2654. Calculate the remainder when 573 is divided by g.
33
Let s be (308/(-42))/((-4)/6). Suppose 10*v = s*v - 13. What is the remainder when v is divided by 7?
6
Let j be ((-3)/6)/(1/(-84)). Suppose 4*w - w = j. What is the remainder when 37 is divided by w?
9
Let x = 4 - 9. Let z = x + 9. What is the remainder when 41 is divided by z?
1
Suppose -15 + 6 = z - 5*f, -4*z + 3*f + 32 = 0. What is the remainder when 505 is divided by z?
10
Let h(k) = -k**2 + 10*k - 11. Let j be h(8). Suppose -j*y + 45 + 50 = 0. What is the remainder when -73*3*(-2)/6 is divided by y?
16
Suppose 20*c = 16*c + 8. Suppose -60 = -3*u - c*u. What is the remainder when 19 is divided by u?
7
Suppose 0 = -2*v - 2*j + 46, -3*v = -3*j - 14 - 85. Suppose 4*d + 6 - 30 = 0. What is the remainder when v is divided by d?
4
Suppose 585 = 74*n - 821. Calculate the remainder when 159 is divided by n.
7
Suppose -y + 4*h = -0*y + 1, 38 = 4*y - 2*h. What is the remainder when y is divided by (-10 - -2)/(6/(-3))?
3
Let i(a) = -3*a**3 - a**2 + 5*a + 6. What is the remainder when 30 is divided by i(-2)?
14
Suppose 0 = 6*f + 4*f - 3190. Calculate the remainder when f is divided by 64.
63
Let p = -554 - -561. Calculate the remainder when 22 is divided by p.
1
Suppose -130 = -5*n + 5*m, 4*n - m = -1 + 90. Let g(z) = -z**2 - 7*z + 6. Calculate the remainder when n is divided by g(-6).
9
Let d(y) = y**2 + 7*y + 7. Calculate the remainder when 100 is divided by d(-11).
49
Suppose -10*y = -982 - 2718. What is the remainder when y is divided by 77?
62
Let k(n) = -6*n**2 - n + 1. Let d be k(1). Let b = -12 - -82. Calculate the remainder when b is divided by d/(-12) - (-70)/4.
16
Suppose 2*d = -4*z - 6 - 0, -5*z = 4*d. Let k(q) = 9*q**3 - q + 1. Calculate the remainder when k(1) is divided by z/(-18) + (-129)/(-27).
4
Suppose -11*p + 17*p - 282 = 0. Calculate the remainder when 147 is divided by p.
6
What is the remainder when (-4)/10*(3 + -523) is divided by 30?
28
Calculate the remainder when 129 is divided by (22/77)/(((-18)/(-224))/9).
1
Let s = -179 + 233. Calculate the remainder when s is divided by 14.
12
Suppose -2*t + 0*t = 8. Let h be (56/(-21))/(t/18). Let c = -8 + h. What is the remainder when c is divided by 3?
1
Suppose -i = 2*i - 132. Suppose 733 - 917 = -8*n. Calculate the remainder when i is divided by n.
21
Let l(i) = -12*i**2 + i - 2. Let f be l(-3). Let s = f + 157. Calculate the remainder when 85 is divided by s.
41
Let c = -233 + 243. Calculate the remainder when 45 is divided by c.
5
Let p(f) = 2*f**2 - 4*f - 12. Let n be p(6). Let x = n - -1. What is the remainder when 147 is divided by x?
36
Let d(a) = a**3 - 3*a**2. Suppose -3 = -3*k + 12. Suppose 5*p - 90 = -5*o, -48 = -5*o + 4*p - 3. What is the remainder when d(k) is divided by o?
11
Suppose 23*u = 18*u - 335. Calculate the remainder when (1 - u) + (-14 - -12) is divided by 17.
15
Let c = 56 + -51. Let b = 10 - -2. What is the remainder when -5*(-1 - b/15) is divided by c?
4
Let d(a) = -8*a**3 + a**2 + 10*a + 9. Calculate the remainder when 91 is divided by d(-1).
3
Suppose 2*n - 12 - 10 = 4*w, 3*n - 5*w - 29 = 0. Suppose 0 = j - 5*j + 36. What is the remainder when j/(-6)*(-16)/6 is divided by n?
1
Suppose -4*u = -3*y - 2*y + 62, 4*u = 3*y - 34. Calculate the remainder when y is divided by 6.
2
Let h(b) = b**2 - 20*b - 4. Let q(c) = 10*c - 39. Let w be q(6). Let l(d) = 17*d - 2. Calculate the remainder when l(2) is divided by h(w).
15
Let n(c) = -c**3 + 24*c**2 - 22*c + 12. Calculate the remainder when 381 is divided by n(23).
31
Let w = -307 - -353. Calculate the remainder when 91 is divided by w.
45
Let v(n) = n**3 - 6*n**2 - n + 8. Let z be v(8). Suppose -7*h = -397 - z. Calculate the remainder when h is divided by 7.
5
Suppose 4*n + 2*g = -g + 54, 0 = -2*n - 3*g + 30. Calculate the remainder when ((-4)/(-10))/((-5)/(-275)) is divided by n.
10
Let z(q) = -40*q + 5. Let a(p) = 200*p - 26. Let k(c) = -2*a(c) - 11*z(c). What is the remainder when k(3) is divided by 17?
15
Let m(h) = 7*h**3 - 57*h**2 + 11*h - 16. Calculate the remainder when 611 is divided by m(8).
3
Let o(q) = -q**3 - 6*q**2 - 6*q. Let i(l) = -6 + 25 + 0 - l. Calculate the remainder when i(12) is divided by o(-5).
2
What is the remainder when 128 is divided by 620/14 - 9/378*12?
40
What is the remainder when 449*5*(-2)/(-10) - -3 is divided by 65?
62
Let v(j) = -7*j - 3*j - 3*j - 9 - j**2 + 2*j**2. What is the remainder when 8 is divided by v(14)?
3
Suppose -3*m + 2875 - 323 = x, 0 = m + 3*x - 840. Calculate the remainder when m is divided by 61.
59
Let z be 1*(-11 - 1)/(-3). Suppose -5 + 61 = z*i. Suppose -3*s - i + 44 = 0. Calculate the remainder when 29 is divided by s.
9
Let p = -135 + 217. What is the remainder when p is divided by 22?
16
What is the remainder when 53 is divided by 44*(35/(-5))/(-28)?
9
What is the remainder when 137 is divided by (-134)/(2*-1) + 20 + -16?
66
What is the remainder when -370*((-260)/(-50))/(-13) is divided by 16?
4
Let q = 7 + 11. What is the remainder when -52*9/42*616/(-132) is divided by q?
16
Suppose 2 - 3 = -x. Calculate the remainder when 2/7 - 687/(-21) is divided by 20 + (x + 0 - 4).
16
Let i = -8307 + 8328. What is the remainder when i is divided by 21*(-1)/(-3)*2?
7
Let m(v) = 9*v**2 + 27*v + 65. What is the remainder when m(-10) is divided by 41?
39
Suppose 5*b - b - 36 = 0. Calculate the remainder when (-5)/((-4)/(-56)*-2) is divided by b.
8
Let d(b) = 15*b**2 + 3*b + 3. Let w be d(-1). Suppose -w = 3*i, -2*i = -5*m + 2*i + 40. Calculate the remainder when 9 is divided by m.
1
Let r(j) = -j**3 + 6*j**2 + 7*j - 6. Suppose 4*b - 8 - 8 = 0. Calculate the remainder when r(b) is divided by 11.
10
Let o(q) = -q. Let m(d) = d**2 - 25*d + 21. Let s(r) = -m(r) + 6*o(r). Calculate the remainder when 36 is divided by s(17).
10
Let t(n) = n**2 - 21*n + 20. Let m be t(23). Suppose -14*c - m = -17*c. Calculate the remainder when c is divided by 0 - 1 - (-6 - 0).
2
Suppose -286 - 169 = -7*i | {
"pile_set_name": "DM Mathematics"
} |
7*p**5/60 - 5*p**2. Let v(n) be the third derivative of u(n). What is the units digit of v(-4)?
5
Suppose 0 = 15*h - 10*h - 1175. Let c = h - 2. What is the hundreds digit of c?
2
Let n = 488 - 116. Suppose 4*w = -4*l + 2*l - n, l - 4 = 0. What is the tens digit of (-2)/5 + (-5738)/w?
6
Suppose -21*u + 33765 = -13758. What is the tens digit of u?
6
Suppose 0*p - 5117 = -17*p. What is the hundreds digit of p?
3
Suppose 19*y - 63 = -2*y. What is the units digit of y?
3
Suppose 3*f - 2 + 14 = 0. Let h(a) = 2*a**2 - a - 6. Let y(m) = m**2 - m - 5. Let n(r) = 2*h(r) - 3*y(r). What is the tens digit of n(f)?
1
Suppose i - 3*q = -q + 458, 0 = 5*i + 5*q - 2275. What is the units digit of i?
6
Let o = -12 + 12. Suppose o = u - 2*u + 12. What is the units digit of 111/u + (-3)/12?
9
Let z(m) = -1136*m**3 - 5*m**2 - m + 3. What is the tens digit of z(-1)?
3
Suppose -2*p + 0*p + i + 4 = 0, p = 2*i - 1. Suppose -4*t + 16 = 0, t - 154 = p*x + 3*t. What is the units digit of (882/x)/((-2)/6)?
9
Let k = -12 + 7. Let n be (4/(-4) - k) + 1. Suppose -38 = -2*b - 2*t, -b = -0*t - n*t + 5. What is the tens digit of b?
1
Let b(n) = 5*n - 28. Let r be b(7). What is the tens digit of (-1296)/(-21) - (-2)/r?
6
What is the hundreds digit of (18 - -7)*-2*56/(-4)?
7
Let q(l) = 48 + 39 - 51 - 9*l + l**2. What is the units digit of q(11)?
8
Suppose 943 = 3*t - 4*a, -431 = -3*t + 3*a + 517. What is the units digit of t?
1
Suppose 60 = 8*s - 636. What is the units digit of s?
7
What is the units digit of (-2255)/(-22)*((-13)/(-5) + -1)?
4
Suppose 17*s - 21*s = -376. Let c = 114 - s. What is the tens digit of c?
2
Let i(l) = 83*l**2 - 2*l - 1. Let y be i(-1). Suppose -4*w = -16 + y. Let t = 21 + w. What is the units digit of t?
4
Let n(c) = -c + 6. Let h be n(8). Let q be h/(-9) - (-440)/45. Suppose 0 = -3*j - 2*j + q. What is the units digit of j?
2
Let p(s) = -15*s + 13. Let j be (1/2)/((-6)/(-108)). Let z be p(j). Let g = -81 - z. What is the tens digit of g?
4
Let u = -1103 - -1799. What is the units digit of (2/4)/(6/u)?
8
Suppose -63 - 25 = -k. Let p be (-88 + 2)/(-1 + 3). Let y = k + p. What is the tens digit of y?
4
Suppose -3*f + 4 + 2 = 0. Suppose -8 = 2*p, i - 51 = -f*p + p. Suppose -c + 51 = 2*y, 2*y - 7*c + 4*c = i. What is the tens digit of y?
2
Let q be 23 + -25 + (-212)/(-2). Suppose 2*l = 24 + q. What is the tens digit of l?
6
Let g be (-7317)/12 - 15/(-20). Let a = g + 870. What is the tens digit of a?
6
Let u(l) = l**3 + 6*l**2 - 5*l - 6. Let g be u(-6). What is the units digit of g/(-8) + 1*52?
9
Let v be (-2)/8 - (-2)/8. Let u(i) = -i**3 + i**2 + 12 - 13*i + 26*i - 15*i. What is the tens digit of u(v)?
1
Let s = 34 + -31. Suppose 12*k - s*k - 693 = 0. What is the tens digit of k?
7
Suppose 15*v = 12*v + 348. What is the tens digit of v?
1
Let u be 100/8*(-16)/(-20). Suppose 11*t = u*t + 4. What is the tens digit of -3 - -21 - t/(-4)?
1
Let n(u) = u**2 - u + 93. Let r be 0/(8 + -3 + -3). What is the tens digit of n(r)?
9
Let a be (12/(-5))/((-33)/110). Suppose -4*t + a*t - 268 = 0. What is the tens digit of t?
6
Let r(g) = 14*g. Let i be r(1). Let b(y) be the second derivative of y**4/12 - 13*y**3/6 + y**2/2 - 3*y. What is the units digit of b(i)?
5
Suppose 26 = 5*i + 4*w, 0 = -2*i - 3*i - 2*w + 18. Suppose 0 = l - i - 26. What is the units digit of l?
8
Suppose 216*y - 212*y = 12. Suppose 0 = y*g - 5*x - 876, -3*g - g + 3*x + 1168 = 0. What is the units digit of g?
2
Let x be ((-8)/(-2) - 3) + 11. What is the tens digit of 4 - 3*(-88)/x?
2
Let n = -63 - -107. Suppose 0 = 12*c - 16*c + n. What is the units digit of c?
1
Let h = -65 - -48. Let o = 97 - h. What is the units digit of o?
4
Let u = 5283 + -2926. What is the hundreds digit of u?
3
Let b(c) be the second derivative of -11*c**4/24 - c**3/6 - c**2/2 - 7*c. Let g(o) be the first derivative of b(o). What is the units digit of g(-4)?
3
Let h = 507 - -610. What is the units digit of h?
7
Suppose 5*o = 17 - 32. What is the units digit of o + 56 - (3 + -6)?
6
Suppose 0*l + 6 = -3*l. What is the units digit of 1092/24 - 1/l?
6
Let u(l) = l**2 - 8. Let v be u(0). Let z = -83 + 76. Let j = z - v. What is the units digit of j?
1
Suppose 5*t - 6 = 2*t. Let m = 2 + t. Suppose m*u + h = -33 + 147, 4*u = 5*h + 126. What is the units digit of u?
9
Let g(p) = p**2 - 3*p - 3. Let f be g(4). Let m(t) = -4*t**3. Let r be m(f). What is the units digit of 1 - r/(-4) - -8?
8
Let r(j) = j**3 + 14*j**2 + j + 20. Let a be r(-14). What is the tens digit of a*5/60*32*1?
1
Let v = 39 - 37. Suppose -i = -4*b - 1 + 5, -4*i - 2*b + v = 0. Suppose -4*q - 350 = -5*s - q, q = i. What is the tens digit of s?
7
Suppose 5*a - 2*h = 2*h + 8093, 0 = -2*a + h + 3236. What is the hundreds digit of 4/6*-1 - a/(-9)?
1
Suppose 9 + 1 = u. Suppose -11 = -4*r - 5*x, -4*x + 7*x + 3 = 0. Suppose -2 = r*o - u. What is the units digit of o?
2
What is the units digit of ((-8 + 1)/(-28))/(1/916)?
9
Let n(p) = -p**3 + p**2 + p - 4. Let x be n(0). Let d(i) = i**3 + 4*i**2 + i + 4. Let f be d(x). What is the units digit of -1*(-1 - (7 - f))?
8
Let w(x) = 266*x**2 + 24*x - 16. What is the tens digit of w(-4)?
4
Suppose 778 = -9*j + 4423. What is the hundreds digit of j?
4
Let h = 106 - -963. What is the thousands digit of h?
1
Let o be (-6)/(-4) + 3/2. What is the units digit of -3*(-30 + o)/3?
7
Let p(m) = 7*m + 14. Let q = 52 - 45. What is the units digit of p(q)?
3
Let g = 503 - -33. Suppose -3*i = i - g. What is the hundreds digit of i?
1
Suppose 5*i = -6*i. Suppose 3*x = -2*v + 34, i*x - 4*v = -x + 2. What is the units digit of x?
0
Let g be (27/(-18))/(1/(-2)). Suppose 0*m - 3*b = m - 104, -g*b - 190 = -2*m. What is the units digit of m?
8
Let y be (-1)/(3/99)*28/(-4). Suppose -y*q + 681 = -228*q. What is the tens digit of q?
2
Suppose -5832 = 52*h - 58*h. What is the tens digit of h?
7
Let i be -2 - (-3 + 4 - 98). Let t = i + -47. Suppose 4*g + 2*f - 194 = 0, 2*g - f + t = 3*g. What is the tens digit of g?
4
Suppose -31326 = -8*k - 12118. What is the tens digit of k?
0
Let g(q) = 36*q**2 + 4*q - 54. Let c(f) = -7*f**2 - f + 11. Let w(m) = -11*c(m) - 2*g(m). What is the units digit of w(4)?
9
Suppose 0*h - 10 = -5*h. Suppose b + 40 = p, -3*b - 46 = -h*p + 36. What is the units digit of p?
8
Let s be 0 - ((16 - 3) + -1). Let t(j) = -j**3 - 12*j**2 + j + 14. Let u be t(s). Suppose 5 - 1 = -p, -5*p = -u*n + 62. What is the units digit of n?
1
Let k(g) = 2*g + g + 5*g - 5 + 3*g**2 - 4*g - 5*g**3. What is the units digit of k(-3)?
5
Let h(r) = 38*r**2 - 22*r - 67. What is the units digit of h(-4)?
9
Suppose 21 = 5*m + 6. Let p(x) = m + x**2 + 0 + 3. What is the units digit of p(6)?
2
Suppose -2*w = 5*w - 15547. What is the tens digit of w?
2
Let v = -1 - -5. Let n(w) = 2*w**2 + 54*w + 8. Let k be n(-26). Let a = v - k. What is the units digit of a?
8
Let p be 12/(-4) - -136 - -1. Let k = -190 + p. What is the tens digit of 36/(-14)*k/12?
1
Suppose -22*s = -44*s + 26378. What is the thousands digit of s?
1
Let j be 1*(-6 + 3)/(-3). Suppose 8 = 3*z - j. What is the units digit of 9 - 1/(1/z)?
6
Suppose 5*a + 61 = -5*t + 2*a, -5*a = t - 1. What is the units digit of (-14)/(-4)*t/(-1)?
9
What is the units digit of 3/120*8 + 1479/5?
6
Let g(u) = -u**3 + u + 3. Let v(x) = x**3 + x**2 - 2*x - 3. Let o(w) = 2*g(w) + 3*v(w). Let f be o(-4). Let q = f - -19. What is the tens digit of q?
1
Let s(c) = 43*c - 75. What is the hundreds digit of s(18)?
6
Suppose 4*y + 3*d - 2140 = 4*d, d = -y + 535. What is the units digit of y?
5
Let c(l) = -2*l**3 + 9*l**2 + 30*l - 17. What is the hundreds digit of c(-10)?
5
Let z(c) = c**3 - 9*c**2 + 9*c - 22. Let v = 51 + -42. What is the tens digit of z(v)?
5
Let h(c) = c - 12. Let a be h(12). Let z = 72 + a. What is the units digit of z?
2
What is the units digit of 5/(-15) + 1 + (-2722)/(-3)?
8
Let j = -177 + 607. What is the tens digit of j?
3
Let z be (76/(-2))/(4/(-16)). Let q = z + -29. What is the units digit of q?
3
Suppose -158*w - 5883 = -161*w. What is the thousands digit of w?
1
Let q = 24 + -12. Let w be (q/15)/(6/15). Suppose -20 = -7*x + w*x. What is the units digit of x?
4
Let g = 331 - 220. Let b = g - 43. What is the tens digit of b?
6
Let l = -2895 + 5679. What is the units digit of l?
4
Suppose 3*q - 4*c | {
"pile_set_name": "DM Mathematics"
} |
+ 62, -47*f + 74*f - 2*a = 23*f + 20 for f.
-4
Solve -3109*s + 3115*s + 5*i = -53, -s = 4*i + 12 for s.
-8
Solve -2*s - 3*s - 152*g + 15 = 114*g - 268*g, 0 = 5*s + 4*g - 15 for s.
3
Solve 6*v - 165 = -3*p, -1152 = 3*v - 2*v + 5*p - 1202 for v.
25
Solve -2228 = -4*h - 11*j - 2192, -h + 3*j - 6 = -4*h for h.
-2
Solve y + 108 = 53*o, -3 = 62*o - 67*o - 2*y + 3 for o.
2
Solve 4*p + 4*a = 8, -85*a + 286 - 26 = 4*p - 9*p for p.
-1
Solve 5*h - 5*n = 230, 0 = 2*h + n - 210751 + 210809 for h.
-4
Solve -5*q + 219 = 13*d - 300, -3*d + 119 = -393*q + 199*q + 195*q for d.
38
Solve -2*w - 129 = 9*k - 153, -2*w - 5 = -11 for k.
2
Solve 3*b - 42 = -2*g - 45, -14*b + 4*g + 14 = -12 for b.
1
Solve j - 3*y - 8 = 0, 3*j - 525*y + 46 = -530*y for j.
-7
Solve 0 = 3*o - 198, 7*b = 2*b + 1260*o - 1261*o + 91 for b.
5
Solve j = 82*g - 87*g - 18, 27*j + 10*j + g + 114 = 0 for j.
-3
Solve -5*b - g - 64 = 0, -32 + 58 = b - 5*g - 141 - 75 for b.
-3
Solve 889028 - 889004 = -2*p + 4*u, -u + 16 = 2*p for p.
4
Solve -59 = p - 2*a - 3*a, -a = -2268*p + 2271*p + 1 for p.
-4
Solve 3*r + 19*b = 48*b - 22*b - 156, -3*r + 3*b - 53 = 91 for r.
-45
Solve -1888 = 16*p + 4*m, 668*p - 3*m - 2006 = 685*p for p.
-118
Solve -4*o = 3*r - 15, -3*o - 519*r = -522*r + 15 for o.
0
Solve g + 10 = 2*k, 302 - 147 - 147 = 2*g for k.
7
Solve -37609*n - 5*q = -37611*n + 9, 0 = -4*n - 15*q - 7 for n.
2
Solve -4*z + 626 = -2*i + 564, 4*z - 3*z + 2*i = 22 - 19 for z.
13
Solve -3*j + 115 = -n, -3*n = j - 5*j + j + 105 for n.
5
Solve -q + 9 = -6*q - 2*s, 13*q + s + 170 - 125 = 3*s for q.
-3
Solve 231644*a + 9 = -g + 231648*a, -17 = 3*g - 2*a for g.
-5
Solve 0 = -159*o + 157*o + u - 4*u + 115, -11*o + 5*u - 120 = 0 for o.
5
Solve -4*g + 40 = 5*a, -42105*g - 2 = -3*a - 42103*g for a.
4
Solve 20*t - i = -7, -22*t + 19*t = 4*i + 55 for t.
-1
Solve p + 2*p - 30 = -m, 4*p + 44 = 7*p + p for m.
-3
Solve x = -4*g + 124, 4009 = -8*x + 4041 for g.
30
Solve 1 = 11*z + 3*h, 2*h - 12 = 56040*z - 56036*z for z.
-1
Solve -5*w + 47 = 5*j - 43, 0*w - w = 6*j - 83 for j.
13
Solve 0 = m - 6*m - 16*n + 140, 0 = -m - 0*m - 11*n + 106 for m.
-4
Solve 0 = 5*x - 2*p - 106 + 9 + 16 - 3, 26 = 2*x + 3*p for x.
16
Solve 4*f + 4*j + 36 = 0, -f - 1889 + 1910 = -5*j for f.
-4
Solve 10*q = 15*o + 70, 8520 - 8561 = 5*q + 2*o for q.
-5
Solve -355169*v = -4*l - 355171*v - 20, -5*l = 5*v + 35 for l.
-3
Solve 14784*i + 431 = 14788*i - 58*j + 11*j, 4*i + 4*j = -28 for i.
2
Solve -9*c - 2*x + 55 = -0*x - 6*x, -x = 7 for c.
3
Solve -12*d + 3*l - 174 = 0, -1096*d + 4*l = -1091*d + 78 for d.
-14
Solve -3*c = -2*x + 165 + 57, -19826 = 3*c - 5*x - 19604 for c.
-74
Solve -168*u + 8 - 1 + 65 = -172*u - 76, -20*z + 5*u + 165 = 0 for z.
-1
Solve 3*d = -5*x + 23, -5*x = -55514*d + 55516*d - 17 for d.
6
Solve 5*z = 27*c - 17, 5857*c - 2*z = 2931*c + 2928*c - 6 for c.
1
Solve -34*h - 655 = -3*d, 94 - 173 = -d + 4*h for d.
3
Solve -90*u - 4*v = -89*u - 19, -2*v - 17 = -3*u - 6*v for u.
-1
Solve -7903222 = 4*v - 5*w - 7903239, 9*w + 21 = 4*v for v.
3
Solve -c - a + 12 = 3*c, -21*c - 8*a + 100*a + 384 = -17*c for c.
4
Solve 0 = -20*c - t - 275, 2*c + 25*t - 16*t - 11*t + 38 = 0 for c.
-14
Solve -39*o + 477 = 3*z + 2*z + z, 0 = 4*o + 2*z + 2*z - 33 + 1 for o.
13
Solve 226*j - 178 = 228*j, -i + 7*i - 5*j - 441 = 2*i for i.
-1
Solve 1752*o + 61 = 4*c + 1757*o, c - 19*o = -86 for c.
9
Solve -32*d = -3*t - 44, -d - 1805*t + 11 = -1810*t - 10 for d.
1
Solve -d + 1064930 = -56*p + 1065078, 4*d = -2*p + 86 for d.
20
Solve -k + 10 = -5*x - 5, -3*k = -78*x + 76*x + 7 for k.
-5
Solve -10*l - 5*l + 20 = -h, h - l = -8*h + 88 for h.
10
Solve 99 = -3*y - 3*k, 2*k - 36627 + 36691 = 0 for y.
-1
Solve m = 33*v - 24, 268*m = -4*v + 261*m - 168 for v.
0
Solve -12 - 2 = -291496*t + 291493*t + 5*u, 4*t + 5*u = 2*u + 9 for t.
3
Solve -4*m + 5*q = -71, -7 = -3*m + 4*q + 14 + 46 - 11 for m.
4
Solve 0 = -3*s + 2*w + 5, -12802*s + 12803*s + 5*w + 4 = 0 for s.
1
Solve 4*j + 6 = -3*b, -2*b + 0*b + 9213 = -4*j + 9237 for b.
-6
Solve 126*k = 6*x + 125*k - 34, 5*x - 3*k - 89 = 0 for x.
1
Solve 69*h + 16 = 71*h, -40*l - 128 = -2*h - 2*h + 3*h for l.
-3
Solve 2*t + 5*r = 4*r - 87, -421*t - 4*r + 226 = -427*t for t.
-41
Solve -4*g - 17*z = 201, -88 = -g - 3*z - 132 for g.
-29
Solve 2*j - j - 51 = -4*j - 2*q, 0 = 3*j + q - 24 for j.
-3
Solve -3*r + 4*w + 25 = -6 + 6, 42 - 7 = -7*r - 4*w for r.
-1
Solve 208 - 330 = -3*y + 25*p, 0 = -y + 3*p + 8 + 22 for y.
24
Solve 21*r - 105 = -83*i + 78*i, -25 = -5*r for i.
0
Solve 2*j + 5*z = 74, 0 = -310*j + 309*j + 5*z - 22 + 59 for j.
37
Solve 1 + 7 = -4*c, 2*c + 3 = -2*a + 9*c + 61 for a.
22
Solve 0 = -l - 6*d - 33, 99871*d = 3*l + 99868*d - 6 for l.
-3
Solve 2*u - 65 = 3*y, 11871*u = 5930*u + 5938*u + 5*y + 108 for u.
1
Solve 3*z + 17 = 2*l, -284*z + 39 = 34*l + 12*z + 7*z - 304*z for l.
1
Solve -1658 + 1594 = -4*k + 4*s, 8*s - 59 = -3*k for k.
17
Solve -8*y = -5*c + 84, -185279*c + 185278*c - 5*y = 36 for c.
4
Solve 3608*s - 3594*s + 355 = 3*a, -s + 15*a + 13 = 2*a for s.
-26
Solve -4*f + 34 = 6*a, 19*a = 4*a + 16*a - 5*f for a.
5
Solve 3*d - 5671*s + 5672*s = 9, -11 = d - 2*s for d.
1
Solve -750*u + 2*f + 48 = -691*u, -48 = -u + 2*f for u.
0
Solve 0 = -0*f - 4*f - 4*i + 152, -181 = -31*f - i + 907 for f.
35
Solve 18*d = -5*y + 38*d - 19*d + 7, 0 = -2*y + 7*d - 83 for y.
4
Solve -2*u = 12*p - 10, -4*p + 13*u + 65 = -2*p + 10*u for p.
4
Solve -1193 + 1251 = 2*i - 2*f, 4*f + 81 + 38 = 3*i for i.
-3
Solve 1043*t - 1044*t + 5*w + 19 = 0, 2*w = -t - 9 for t.
-1
Solve 0 = 9*q - 25*g + 29*g - 147, 2*q + 119 = 3*g for q.
-1
Solve -156*b + 87*b = -66*b, 0 = -11*g - 4*b + 132 for g.
12
Solve 1002 = 2*o + 3*k + 1009, 0 = 3*o - k + 38 for o.
-11
Solve 5*x - 31 - 24 - 37 + 80 = -9*m, 0 = 4*x + 12 for m.
3
Solve -o = 5*s + 38, -31*o + 35*o = -3*s - 118 for o.
-28
Solve -3*k - 38244 = 44*v - 38493, 2*v - 5*k - 19 = 3*v for v.
6
Solve -116 = 2*b - 2*z, -286*b + 840 = -291*b + 15*z for b.
-3
Solve -105*l + 107*l + 103 = -w + 108, -5*l - 34*w = 82 for l.
4
Solve 0 = q + 2*q - 4*b - 13, 24*q + 18*q + 20 = 44*q + 3*b for q.
7
Solve 2*d - 462 = 12*s, -58*s + 87 = -60*s - 3*d for s.
-39
Solve 0 = 4*y + 29*r + 111, -y - 18 = -44304*r + 44308*r for y.
-6
Solve d - 3*x - 11 = 0, -3*d - x = -363608 + 363575 for d.
11
Solve 7*n + 13*n - 38*n + 4*n = -13*n - 173*z - 687, 0 = -3*n + 4*z + 1 for n.
-5
Solve 4*q - 5*q = 1, -13*m + 89 = -11*m - m - 4*m - 17*q for m.
-24
Solve -82 = -2*j + 22*l, j - 11266*l = -11249*l + 65 for j.
-3
Solve -2*q - 8*h + 11*h = 25, -8*q - 4*h = -358 + 314 for q.
1
Solve -5*q - 15169 = 5058*z, -346*q - 2*z = -348*q + 8 for q.
1
Solve 19*o - 9*o + 15*x = 13*x - 6, -3*x = o + 23 for o.
1
Solve 14*h = 6*r - 814, 279*h - 283*h - 224 = -0*r - 0*r for r.
5
Solve -3*t + 5*t - 9 = 3*t + 5, -1123*b + 1166*b + 4*t - 30 = 0 for b.
2
Solve -4 = 2*r - 7*j - 2*j + 12*j, 3*r + 12 = -3*r + 31*j - 27*j for r.
-2
Solve -n + 161 - 128 = -3*x, 9*x - 108*n + 36*n = -1962 for x.
-2
Solve 2911 = 266*s + 3*w, s + s + w = 4*w + 37 for s.
11
Solve -2*c + 2424718 = b + 2424724, -4 = c for b.
2
Solve -3*j - 31 = -4*l, -33479 = 2*l + 2*j - 33477 for l.
4
Solve 2*g = -y - 41, -70 = 5*g + 4415*y - 4419*y for g.
-18
Solve -3*l - 1108219 + 1108224 = 4*h, -5 = -l - 3*h for l.
-1
Solve a - 31 = 2*z, -20*a - a = -z - a - 620 for z.
0
Solve 0 = 5*u + 22*y + 804, 88*u = -89*u + 254*u - 80*u + 2*y + 80 for u.
2
Solve -14*o + 232 = 15*o, -2906*o + 35 = a - 2*a + 2*a - 2902*o for a.
3
Solve -33*k = -8*k - 12*b - 17*b - 2*b + 2149, 4*k + 332 = 2*b for k.
-81
Solve -4*l + 12018*z - 204 = 12016*z, -2*l = 3*z + 94 for l.
-50
Solve -7024 = 2*a - 7098, 2*a - 49 = 5*n for n.
5
Solve 5*r + 2*g = -21, 7099*r - 21282*r + 7091*r = -7096*r - 2*g - 24 for r.
3
Solve 3*a + 148622 = -2*i + 148605, 2*a + 16 = i for a.
-7
Solve 2*n + 72 = -n + 3*d, -40012*d - 58 = -4*n - 40015*d for n.
-2
Solve 2*b = m - 6496 + 6490, 5*m - 11*b - 2*b = 45 for m.
-4
Solve 3207*l - 3205*l - 3*u + 59 = 0, 2*l + 4*l + 189 = 5*u for l.
-34
Solve -606311*w = -606308*w - 0*l + 3*l - 96, -3*w + 5*l + 120 = 0 for w.
35
Solve 4*q - k = -73480826 + 73480859, -4*k - 36 = 0 for q.
6
Solve -4*f = 2*j + 24, 0 = -98451*f + 98455*f - 4*j + 12 for f.
-5
Solve a + 0*a - 5*d = 57 - 126, 60*a = d - 253 for a.
-4
Solve -3*r = 4*p - 63 + 92, 2* | {
"pile_set_name": "DM Mathematics"
} |
- 60 = 0 for r.
-6, -2, -1
Find b, given that -4*b**3 + 696*b**2 - 30276*b = 0.
0, 87
Factor -c**2/5 - 12*c + 61/5.
-(c - 1)*(c + 61)/5
Factor -d**2 + 66*d - 1089.
-(d - 33)**2
Factor -5*c**3 + 1955*c**2 + 3930*c.
-5*c*(c - 393)*(c + 2)
Solve 2*l**3/19 + 108*l**2/19 - 6*l - 220/19 = 0.
-55, -1, 2
Let -3*z**3 - 63*z**2 - 405*z - 825 = 0. What is z?
-11, -5
Find l such that 3*l**3/2 - 57*l**2/2 - 6*l + 114 = 0.
-2, 2, 19
Find s, given that -3*s**2 + 174*s - 2523 = 0.
29
Factor 2*h**2/5 - 296*h/5 + 294/5.
2*(h - 147)*(h - 1)/5
Suppose 8*x**5/9 + 22*x**4/9 + 10*x**3/9 - 4*x**2/9 = 0. Calculate x.
-2, -1, 0, 1/4
Suppose -21*m**4/2 - 193*m**3/6 + 311*m**2/3 + 26*m/3 - 20/3 = 0. Calculate m.
-5, -2/7, 2/9, 2
Factor y**3 - 26*y**2 + 64*y + 1536.
(y - 16)**2*(y + 6)
What is z in -2*z**2/13 + 44*z + 1152/13 = 0?
-2, 288
Factor -s**4/6 + 11*s**3/6.
-s**3*(s - 11)/6
Factor -c**4/3 - 3*c**3 + c**2/3 + 35*c.
-c*(c - 3)*(c + 5)*(c + 7)/3
What is u in u**5 + 164*u**4 + 5854*u**3 - 71340*u**2 + 189225*u = 0?
-87, 0, 5
Factor -w**4 - 10*w**3 + 32*w**2 + 384*w.
-w*(w - 6)*(w + 8)**2
Find m, given that -5*m**5 - 30*m**4 + 230*m**3 + 840*m**2 - 225*m - 810 = 0.
-9, -3, -1, 1, 6
Find r, given that -2*r**3/3 - 14*r**2/3 - 8*r/3 + 8 = 0.
-6, -2, 1
Suppose -4*u**3 - 156*u**2 - 1056*u + 9680 = 0. What is u?
-22, 5
Factor -4*r**3 + 260*r**2 + 536*r.
-4*r*(r - 67)*(r + 2)
Let v**5 + 4*v**4 - 8*v**3 - 14*v**2 + 7*v + 10 = 0. What is v?
-5, -1, 1, 2
Factor -q**3/4 - 29*q**2/2 - 113*q/4 - 14.
-(q + 1)**2*(q + 56)/4
Factor -21*b**4/8 - 93*b**3/8 - 15*b**2 - 9*b/2.
-3*b*(b + 2)**2*(7*b + 3)/8
Find i, given that 5*i**3 - 50*i**2 - 55*i = 0.
-1, 0, 11
Determine v so that -30*v**5 - 8*v**4 + 168*v**3 - 204*v**2 + 86*v - 12 = 0.
-3, 1/3, 2/5, 1
Suppose h**4/7 - 18*h**3/7 + 109*h**2/7 - 36*h + 28 = 0. Calculate h.
2, 7
What is m in -4*m**2/3 - 8*m = 0?
-6, 0
Determine m so that 3*m**5/5 - 3*m**4/5 - 27*m**3/5 + 3*m**2 + 48*m/5 - 36/5 = 0.
-2, 1, 3
Factor 2*v**3/19 + 130*v**2/19 - 544*v/19 + 552/19.
2*(v - 2)**2*(v + 69)/19
Suppose g**5/4 + 5*g**4/2 + 2*g**3 - 5*g**2/2 - 9*g/4 = 0. What is g?
-9, -1, 0, 1
Suppose -42*t**5 + 177*t**4 + 474*t**3 - 132*t**2 - 72*t = 0. Calculate t.
-2, -2/7, 0, 1/2, 6
Determine s, given that s**4/4 - 3*s**2 + 4*s = 0.
-4, 0, 2
Factor -5*y**2 - 25*y.
-5*y*(y + 5)
Determine s so that -2*s**2 - 468*s - 27378 = 0.
-117
Let 5*c**5 + 5*c**4 - 15*c**3 - 25*c**2 - 10*c = 0. Calculate c.
-1, 0, 2
Factor -q**5/4 + 3*q**4/4 + 9*q**3/4 + 5*q**2/4.
-q**2*(q - 5)*(q + 1)**2/4
Let -2*d**3/11 + 624*d**2/11 - 49290*d/11 + 96100/11 = 0. What is d?
2, 155
Factor -j**3 + 6*j**2 + 40*j.
-j*(j - 10)*(j + 4)
Find n such that -7*n**5/3 + 37*n**4/3 - 22*n**3 + 44*n**2/3 - 8*n/3 = 0.
0, 2/7, 1, 2
Suppose -2*l**5/11 - 46*l**4/11 + 156*l**3/11 = 0. Calculate l.
-26, 0, 3
Let 2*h**5 - 100*h**4 - 222*h**3 + 712*h**2 + 856*h - 1248 = 0. What is h?
-3, -2, 1, 2, 52
Factor -4*l**3/3 - 64*l**2/3 - 112*l/3.
-4*l*(l + 2)*(l + 14)/3
Determine c so that 5*c**4 + 25*c**3 + 45*c**2 + 35*c + 10 = 0.
-2, -1
Let 2*r**5/11 - 8*r**4/11 + 28*r**2/11 - 34*r/11 + 12/11 = 0. Calculate r.
-2, 1, 3
Factor -3*p**2/5 - 1647*p/5 - 1644/5.
-3*(p + 1)*(p + 548)/5
Suppose -2*b**2 - 964*b - 116162 = 0. Calculate b.
-241
Determine u so that -4*u**3 + 37796*u**2 - 89302496*u + 89264704 = 0.
1, 4724
Solve -5*f**5 - 62*f**4/3 + 67*f**3/3 + 10*f**2/3 = 0 for f.
-5, -2/15, 0, 1
Solve 2*v**5 + 12*v**4 = 0.
-6, 0
Determine j, given that -j**3/2 + 19*j**2/2 - 35*j = 0.
0, 5, 14
Factor 5*i**3 - 665*i**2 - 1350*i.
5*i*(i - 135)*(i + 2)
Factor 2*r**2/3 - 962*r/3 + 1916/3.
2*(r - 479)*(r - 2)/3
Determine b, given that 18*b**3 + 5100*b**2 + 6776*b + 2256 = 0.
-282, -2/3
Factor 2*z**4/11 + 54*z**3/11 + 390*z**2/11 + 338*z/11.
2*z*(z + 1)*(z + 13)**2/11
Factor p**3 + 1121*p**2 + 314720*p + 313600.
(p + 1)*(p + 560)**2
Factor -5*z**2 + 170*z - 840.
-5*(z - 28)*(z - 6)
Let -5*y**2 + 420*y - 415 = 0. Calculate y.
1, 83
Suppose 5*a**2 - 920*a + 1820 = 0. Calculate a.
2, 182
Factor -4*q**3 + 200*q**2 - 548*q - 752.
-4*(q - 47)*(q - 4)*(q + 1)
Factor 3*c**4 - 15*c**3 - 54*c**2 + 384*c - 480.
3*(c - 4)**2*(c - 2)*(c + 5)
Factor 4*y**2/7 - 942*y/7 + 1404/7.
2*(y - 234)*(2*y - 3)/7
Let 12*f**3 - 1749*f**2 - 2223*f + 2646 = 0. Calculate f.
-2, 3/4, 147
Factor 3*k**3/4 + 1695*k**2/4 + 241941*k/4 + 710649/4.
3*(k + 3)*(k + 281)**2/4
Factor 3*l**4/7 - 12*l**3/7 - 3*l**2 + 30*l/7.
3*l*(l - 5)*(l - 1)*(l + 2)/7
Determine d so that 2*d**3/15 + 8*d**2/15 - 74*d - 780 = 0.
-15, 26
Suppose -s**2/4 - 295*s - 87025 = 0. Calculate s.
-590
Let -6*d**5 - 4*d**4 + 50*d**3 + 56*d**2 - 24*d = 0. Calculate d.
-2, 0, 1/3, 3
Let q**3/3 - 8*q**2/3 - 3*q + 24 = 0. Calculate q.
-3, 3, 8
Factor 2*m**4 + 8*m**3 + 6*m**2.
2*m**2*(m + 1)*(m + 3)
Factor -2*y**3 + 30*y**2.
-2*y**2*(y - 15)
Let w**2 - 5*w + 4 = 0. What is w?
1, 4
Factor 255*c**2 + 755*c - 30.
5*(c + 3)*(51*c - 2)
Find m such that 3*m**2 - 216*m + 3888 = 0.
36
Suppose -4*z**5 + 24*z**4 - 52*z**3 + 48*z**2 - 16*z = 0. Calculate z.
0, 1, 2
Factor -y**2/4 + 115*y/4 + 29.
-(y - 116)*(y + 1)/4
Factor -o**3/4 - 203*o**2/4 - 10403*o/4 - 10201/4.
-(o + 1)*(o + 101)**2/4
Factor 2*f**5 - 10*f**4 + 18*f**3 - 14*f**2 + 4*f.
2*f*(f - 2)*(f - 1)**3
Factor -2*w**3/3 + 1184*w**2/3 + 2*w/3 - 1184/3.
-2*(w - 592)*(w - 1)*(w + 1)/3
Find p, given that 5*p**4 + 90*p**3 - 120*p**2 - 490*p - 285 = 0.
-19, -1, 3
Factor 2*p**4/11 - 1698*p**3/11 + 480534*p**2/11 - 45330374*p/11.
2*p*(p - 283)**3/11
Solve -2*k**3/13 - 44*k**2/13 - 152*k/13 - 144/13 = 0.
-18, -2
Determine d, given that 2*d**2/5 - 204*d/5 - 206/5 = 0.
-1, 103
Find t such that 2*t**4 + 1268*t**3 + 198418*t**2 - 814088*t = 0.
-319, 0, 4
Factor v**4/4 + 91*v**3/4 + 219*v**2/2 + 173*v + 86.
(v + 1)*(v + 2)**2*(v + 86)/4
Factor 5*c**4 - 65*c**3 + 140*c**2 + 1020*c - 3600.
5*(c - 6)**2*(c - 5)*(c + 4)
Factor 2*d**4/9 + 16*d**3/9 + 14*d**2/3 + 4*d.
2*d*(d + 2)*(d + 3)**2/9
Factor 2*v**3/3 - 50*v/3.
2*v*(v - 5)*(v + 5)/3
Factor -5*c**3/2 - 11*c**2 + 17*c/2 + 5.
-(c - 1)*(c + 5)*(5*c + 2)/2
Factor 5*x**4 - 15*x**3 + 10*x**2.
5*x**2*(x - 2)*(x - 1)
Factor -j**4/9 - j**3/9 + 2*j**2/3 + 4*j/9 - 8/9.
-(j - 2)*(j - 1)*(j + 2)**2/9
What is n in -n**5/6 + 58*n**4/3 + 361*n**3/6 - 238*n**2/3 = 0?
-4, 0, 1, 119
Factor 5*i**3 + 30*i**2 + 55*i + 30.
5*(i + 1)*(i + 2)*(i + 3)
Factor z**2 + 3*z - 18.
(z - 3)*(z + 6)
Suppose -4*i**5 + 4*i**4 + 64*i**3 - 64*i**2 = 0. What is i?
-4, 0, 1, 4
Factor -t**3/3 + 547*t**2/3 - 74528*t/3 - 75076/3.
-(t - 274)**2*(t + 1)/3
Solve 3*l**4/2 - 82*l**3/3 - 51*l**2/2 + 64*l - 38/3 = 0.
-2, 2/9, 1, 19
Factor -3*p**2/7 + 90*p - 4725.
-3*(p - 105)**2/7
Factor 20*j**3 - 1232*j**2 - 5776*j - 2112.
4*(j - 66)*(j + 4)*(5*j + 2)
Suppose -2*g**4 + 72*g**3 - 436*g**2 + 888*g - 522 = 0. What is g?
1, 3, 29
Factor 4*w**4 + 8*w**3 - 48*w**2 + 56*w - 20.
4*(w - 1)**3*(w + 5)
Solve 5*p**2 - 490*p + 12005 = 0.
49
Solve -2*h**5/7 - 482*h**4/7 - 38396*h**3/7 - 984636*h**2/7 + 2086398*h/7 - 1062882/7 = 0 for h.
-81, 1
Determine l, given that 3*l**4/5 + 39*l**3/5 - 42*l**2/5 = 0.
-14, 0, 1
Find q, given that -q**4/5 + 196*q**3/5 - 1840*q**2 - 8000*q = 0.
-4, 0, 100
Solve 3*i**4/2 + 75*i**3 + 1008*i**2 + 1728*i = 0.
-24, -2, 0
Determine b, given that -9*b**5/5 - 33*b**4/5 + 513*b**3/5 - 591*b**2/5 - 36*b + 60 = 0.
-10, -2/3, 1, 5
Let -2*r**2/7 - 132*r/7 + 272/7 = 0. Calculate r.
-68, 2
Let -3*a**4/2 - 21*a**3 - 147*a**2/2 = 0. What is a?
-7, 0
Factor -2*o**5 - 74*o**4 + 1398*o**3 - 8046*o**2 + 19332*o - 16848.
-2*(o - 6)*(o - 3)**3*(o + 52)
Factor x**3 - 9*x**2.
x**2*(x - 9)
Factor 2*p**5/7 - 2*p**4 + 20*p**3/7 + 36*p**2/7 - 54*p/7 - 54/7.
2*(p - 3)**3*(p + 1)**2/7
Suppose 2*u**2 + 208*u + 408 = 0. Calculate u.
-102, -2
Factor -2*j**3/13 + 120*j**2/13 + 122*j/13.
-2*j*(j - 61)*(j + 1)/13
Let -2*u**2/5 - 2222*u/5 + 4452/5 = 0. Calculate u.
-1113, 2
Determine w so that w**4/3 + 11*w**3 + 139*w**2/3 - 11*w - 140/3 = 0.
-28, -5, -1, 1
Determine c, given that -2*c**5/11 + 24*c**4/11 - 60*c**3/11 + 56*c**2/11 - 18*c/11 = 0.
0, 1, 9
Let 2*h**5 + 308*h**4 + 10202*h**3 + 87080*h**2 - 206008*h + 108416 = 0. What is h?
-112, -22, 1
Solve 2*b**3/11 + 62*b**2/11 + 216*b/11 - 2880/11 = 0 for b.
-24, -12, 5
Factor 2*k**2/7 - 1872*k/7 + 438048/7.
2*(k - 468)**2/7
Factor 2*c**2/1 | {
"pile_set_name": "DM Mathematics"
} |
tive of -2978058*d**3*k + 2*d**3 + 3*d**2 - d - 79 wrt k?
-2978058*d**3
What is the second derivative of 1309881*k**4 + 157268*k - 24?
15718572*k**2
Find the third derivative of -9*d*h**3*o*s - 756*d*h**2 + 2*d*o*s - 361*h**3*o + 62*h**3*s**2 + 2*h**2*o*s - 2*h**2*s**2 - 3*h*o*s**2 + 5*h*o wrt h.
-54*d*o*s - 2166*o + 372*s**2
Differentiate -29810393*a**2*t**4 + 622667209*a**2 with respect to t.
-119241572*a**2*t**3
What is the third derivative of 7835811*m**3 + 13803795*m**2?
47014866
Find the third derivative of 14054207*v**4 - v**2 + 32180*v + 4.
337300968*v
Differentiate 14149792*m**2*w**2 - 3359829*m**2 wrt w.
28299584*m**2*w
What is the third derivative of 9338682*g**4 - 803*g**2 + 10509*g wrt g?
224128368*g
What is the first derivative of 7*l**3*x*z**3 - 12505350*l**3*x - 2*l**3*z**3 - 3*l**2*z**3 - 1327*l**2*z**2 + 2092*l*z**2 wrt x?
7*l**3*z**3 - 12505350*l**3
Find the second derivative of 4*c**2*r + 4809871*c**2 - 250029951*c*r - 3*r wrt c.
8*r + 9619742
Differentiate -1335952386*x - 660591668 wrt x.
-1335952386
What is the second derivative of -377*r**5 - 866*r**4 - 2*r**3 - 5942155*r?
-7540*r**3 - 10392*r**2 - 12*r
What is the derivative of -123391*t**4 + 2*t**2 + 12569758 wrt t?
-493564*t**3 + 4*t
Find the third derivative of 26023293*x**4 - 2440044*x**2 - x + 3.
624559032*x
Differentiate -3*h**3*x - 628986*h**2*x + h**2 - 4*x + 6225698 with respect to h.
-9*h**2*x - 1257972*h*x + 2*h
What is the derivative of 72298*f**4 - 25*f**2 - 2*f - 724795297 wrt f?
289192*f**3 - 50*f - 2
Find the third derivative of 3*p**6 + 691789*p**5 + 15266461*p**2.
360*p**3 + 41507340*p**2
Find the second derivative of -j**2*t**2 - 189*j**2*t - 144*j**2 - 1401*j*t**2 + 10*j*t + 3*j + 445*t**2 + t - 1 wrt t.
-2*j**2 - 2802*j + 890
Find the third derivative of -26923*a*s*u**3 - 2*a*s*u + 6*a*s + 431*a*u**2 - 2*a*u - 991*s*u**3 + 2*s*u**2 + 7*s*u - s wrt u.
-161538*a*s - 5946*s
What is the derivative of -7087672*n**2*y**4 + 2834*n**2 - 983*n + 4*y**4 wrt y?
-28350688*n**2*y**3 + 16*y**3
What is the second derivative of -4*f**3 - 1640780*f**2 - f - 36845566?
-24*f - 3281560
What is the third derivative of -56926*c**5 + 8*c**4 + 6*c**3 + 252493484*c**2?
-3415560*c**2 + 192*c + 36
Differentiate 2*i*k**2*t - 318*i*k**2 - 2*i*k + 27927118*i*t - 126*k**2 + 344*k with respect to t.
2*i*k**2 + 27927118*i
What is the derivative of 199009872*a**2 - a - 279607300 wrt a?
398019744*a - 1
Find the third derivative of -60886015*u**6 - 1106397663*u**2.
-7306321800*u**3
What is the derivative of 117*o**3 + 71760*o**2 - 26687230 wrt o?
351*o**2 + 143520*o
Find the third derivative of -22197161*w**5 + 2*w**4 - 269726*w**2 - 470*w.
-1331829660*w**2 + 48*w
What is the first derivative of -5337777*c**3 + 9098912?
-16013331*c**2
What is the derivative of 446*j**2 - 216*j - 2021950?
892*j - 216
What is the derivative of 7029*z**4 - 3*z**3 - 8*z**2 + 4*z - 14588823?
28116*z**3 - 9*z**2 - 16*z + 4
Differentiate 341*q**4 - 927*q**2 + 4*q + 4538012 with respect to q.
1364*q**3 - 1854*q + 4
Find the third derivative of -3061790*f**3 - 388*f**2 + 12*f + 41 wrt f.
-18370740
What is the third derivative of -148568247*n**3*v**2 - 73845709*n**2*v**2 + 2*v**2 wrt n?
-891409482*v**2
What is the second derivative of 275857*g**3 + 48*g**2*p**3 - 202*g*p**3 - 2*g*p**2 - g - 8*p**3 - 7*p**2 + 5*p wrt g?
1655142*g + 96*p**3
What is the second derivative of -6*d**3*j**3 - 23*d**3 - 15519*d**2*j**2 + 131201*d*j - 22*j**2 wrt j?
-36*d**3*j - 31038*d**2 - 44
Differentiate -9755*d*o**3*p + 622*d*o*p**3 - 3*o**3*p**3 + 2*o**3*p - 306*o**2*p**3 - 5*o*p**2 - 251*p**3 with respect to d.
-9755*o**3*p + 622*o*p**3
What is the second derivative of -2*p**3*w + 3*p**3 - 435391*p**2*w - 1962194*p*w - 2*p wrt p?
-12*p*w + 18*p - 870782*w
What is the third derivative of 29872*j**3*m**3 + 15*j**3*m - 84*j**3 + 26*j**2*m**3 + 3*j**2*m - 19*j**2 - 26*j*m**3 + j*m**2 - 83*j*m wrt j?
179232*m**3 + 90*m - 504
What is the third derivative of -56*a**3*h**2*u**3 + 30570*a**3*h**2*u + 359*a**2*h**2*u + 32*a**2*h*u + 2*h**2*u**2 - h*u**3 - 3*u**3 wrt a?
-336*h**2*u**3 + 183420*h**2*u
What is the first derivative of j**2 - 195017591*j - 275035575?
2*j - 195017591
Find the third derivative of -4198*d**5*y + 10829*d**3*p*y - d**2*p*y - 5*d**2*p - d**2 - 217*d*p*y + 2*d*p + 3*d + p wrt d.
-251880*d**2*y + 64974*p*y
What is the second derivative of 11*u**2*w*x**2 + 48*u**2*x**3 + 13967*u**2 + 206*u*w*x**3 + u*w*x**2 + 2*u*x**2 + 9113*u + w*x**3 + 2*w + x wrt u?
22*w*x**2 + 96*x**3 + 27934
Find the third derivative of -7565469*j**6 + 6403845*j**2 wrt j.
-907856280*j**3
Find the third derivative of 414718*b*z**3 + 376*b*z**2 + 18*b*z + z**4 + 715*z**3 - 2*z**2 + 438*z wrt z.
2488308*b + 24*z + 4290
Find the third derivative of 11*a**2*g**3 + 19*a**2*g**2 + 11119*a*g**4 - 155*a*g**2 - a - 8*g**3 - 495*g wrt g.
66*a**2 + 266856*a*g - 48
Find the second derivative of 565822781*c**4 + 1049984985*c wrt c.
6789873372*c**2
What is the second derivative of -6677*b*f*x**2 + b*f*x - 990*b*f - b*x**2 + 2*b*x - 11*f*x**2 - 44*f*x + x**2 + 4 wrt x?
-13354*b*f - 2*b - 22*f + 2
Differentiate 29*h**2*p + 102*h**2 - 33*h*p - 9*h - 88018648*p wrt h.
58*h*p + 204*h - 33*p - 9
What is the derivative of -43133*a**2 - 67*a - 47144997 wrt a?
-86266*a - 67
Find the second derivative of -5276*c**2*q**3 + 22860*c**2*q**2 - 8*c**2 + 5195*c*q + 11*c + q wrt q.
-31656*c**2*q + 45720*c**2
What is the second derivative of 256383904*i**2 - 654147356*i wrt i?
512767808
Find the first derivative of -2*i**2*o + 5*i**2 - 514*i*o + 2588*i - 195385644*o wrt i.
-4*i*o + 10*i - 514*o + 2588
Differentiate -2*i*q**2 + 3*i*q - 168013*i + 1162*q**3 - 255*q - 209 with respect to q.
-4*i*q + 3*i + 3486*q**2 - 255
What is the second derivative of 2858251*s**2 + 2832379*s?
5716502
What is the third derivative of 214835816*g**3 - 9317*g**2 + g + 9928 wrt g?
1289014896
What is the derivative of -26*w**4 - 30257*w**2 - 59*w - 259674063?
-104*w**3 - 60514*w - 59
What is the derivative of 10055*c**2*n - c**2 + 3*c*n - 2*c + 1622*n - 2757484 wrt n?
10055*c**2 + 3*c + 1622
What is the third derivative of 6*f**5*k - 204*f**4*k + 61*f**3*s - 2*f**2*k*s - 23*f**2*k - 2*f**2*s - 2*f**2 + 10*f*k*s + 14*f - 85*k*s wrt f?
360*f**2*k - 4896*f*k + 366*s
Find the second derivative of 165605*g**3*o**2 + 5*g**3 + 3*g**2*o**2 - g*o + 198*o**2 + 5969*o - 2 wrt g.
993630*g*o**2 + 30*g + 6*o**2
What is the derivative of -169*d**2 - 301689*d + 382731222?
-338*d - 301689
What is the second derivative of -105676337*b**4 - 3*b**3 + 1458339195*b?
-1268116044*b**2 - 18*b
What is the first derivative of 4*i*l + 9*i - 99778963*l + 2233449 wrt l?
4*i - 99778963
Find the third derivative of 14985*i**5 + 12713596*i**2.
899100*i**2
What is the third derivative of 94076*l**4*m + 8*l**3*m**2 - 223376*l**2*m**2 + 5*m wrt l?
2257824*l*m + 48*m**2
What is the third derivative of 2*n**5 - 7992176*n**4 - 4600694*n**2 wrt n?
120*n**2 - 191812224*n
Find the first derivative of 8585*c**2*n**3 + 762*c**2 - 6*n**3 + 30849*n**2 + 2*n + 2 wrt c.
17170*c*n**3 + 1524*c
What is the derivative of 4*j**3 + 530792*j*z - 12879625*z wrt j?
12*j**2 + 530792*z
What is the first derivative of -f**3*x - 43*f**3 - 219674*f**2 - 16857257*x**3 - 2 wrt x?
-f**3 - 50571771*x**2
Find the second derivative of 73918630*v**2 + 212775881*v.
147837260
Find the third derivative of 24018328*f**2*s**3 + 22301*f**2 - f*s**2 + 2*f*s + 2*s**2 + 2*s - 1 wrt s.
144109968*f**2
Find the second derivative of -54685830*o**2 - 3982452*o - 17.
-109371660
What is the second derivative of 175131*b*c**3 + 63*b*c**2 - 177886705*b*c + 3*c**4 wrt c?
1050786*b*c + 126*b + 36*c**2
Find the first derivative of -1035*m*o**3 + 42*m*o**2 + m*o + m - 8411*o**3 - 1575*o wrt m.
-1035*o**3 + 42*o**2 + o + 1
Differentiate -26*c*s*z - 3*c*s - c*z - 949*c + 102821*s*z - 4*s - 7*z + 5812 wrt s.
-26*c*z - 3*c + 102821*z - 4
Find the third derivative of -i**2*u**2*x**2 + 3*i**2*u**2*x + 4*i**2*x**3 - 3*i**2*x - 22974018*i*u**2*x**3 + 24*i*u**2*x + 2*u**2*x**2 + 6447*u**2 wrt x.
24*i**2 - 137844108*i*u**2
Find the third derivative of 881304*l*m**3 - l*m**2 + 237*l - 38*m**5 + 2*m**2 - 1299*m + 3 wrt m.
5287824*l - 2280*m**2
Find the second derivative of 127041326*n**2 - 939448697 | {
"pile_set_name": "DM Mathematics"
} |
+ 3 - 2*l. What is the first derivative of j(w) wrt w?
2
What is the third derivative of -15*b**4 - 2*b**2 + 6*b**3 - 10*b**3 + 4*b**3 wrt b?
-360*b
Suppose 3*n + 3 = 9. Suppose -5*a = -3*g - 39, 4*g = -4*a + 19 - 7. What is the third derivative of i**6 + 5*i**2 - 2*i**a - 2*i**n wrt i?
-120*i**3
Let i(v) = 2*v**2 - 5*v + 5. Let a be i(2). Find the first derivative of -5*n**a - 6*n**3 + 11*n**3 - 3*n**4 + 6 wrt n.
-12*n**3
Let f(s) be the second derivative of -13*s**7/21 + 3*s**4/2 + 26*s. Find the third derivative of f(h) wrt h.
-1560*h**2
Let a(k) be the third derivative of 0*k**5 - 1/120*k**6 + 0*k + 1/24*k**4 + 0 + 0*k**3 + 3*k**2. Find the second derivative of a(r) wrt r.
-6*r
Differentiate 17*d - 68 + 30 + 62 wrt d.
17
Find the third derivative of -22*p**3 - 16*p**3 + 6*p**4 + 32*p**2 - 2*p**4 + 50*p**3 wrt p.
96*p + 72
Find the third derivative of -3*k**3 + 22*k**3 + 62 + 3*k**2 - 62 wrt k.
114
Let c(i) = i**2 + i - 5. Let h be c(4). Suppose -3*a = -0*a - h. What is the third derivative of 0*z**2 - 4*z**2 + z**5 + 3*z**a wrt z?
240*z**2
Find the second derivative of -6*u**5 + 721 + 2*u - 721 + 2*u**5 wrt u.
-80*u**3
Let a(w) be the third derivative of 13*w**8/336 - w**4/24 + 13*w**3/6 - 39*w**2. Find the second derivative of a(c) wrt c.
260*c**3
Let g be 10/(-35) + 60/14. Find the second derivative of -9*r - 4*r**4 + 3*r**5 + 4*r**g - 5*r**5 wrt r.
-40*r**3
Let t(f) be the first derivative of 16*f**5/5 + 8*f**2 - 7. What is the second derivative of t(d) wrt d?
192*d**2
Let d(q) be the third derivative of -q**2 + 0 + 0*q - 1/8*q**4 - 1/2*q**3. Differentiate d(u) wrt u.
-3
Let u(n) = -n**3 + 5*n**2 - 5*n + 6. Let j be u(4). Differentiate 4 + 3*x**2 - x**j - 5*x**2 - 2*x**2 wrt x.
-10*x
Let k(t) = -t**2 - 20. Let c(q) = -q**2 - 19. Let l(x) = -6*c(x) + 5*k(x). What is the first derivative of l(i) wrt i?
2*i
Let g = 15 - 10. Let n = 7 - g. What is the third derivative of 0*w**2 - w**2 - n*w**2 + w**4 wrt w?
24*w
Let k(f) = -f - 1. Let g(p) = 8*p - 3. Let a(j) = -g(j) - k(j). Differentiate a(u) with respect to u.
-7
Differentiate -2*c**4 - c**4 - 87 - 2*c**4 + 88 wrt c.
-20*c**3
Let j(h) be the second derivative of 29*h**5/20 + 9*h**2 - 41*h. Differentiate j(z) wrt z.
87*z**2
Let w(g) = 40*g**3 + 6*g**2 + 2. Let m(i) = i**3 + i**2 + 1. Let x(d) = -6*m(d) + w(d). Differentiate x(c) wrt c.
102*c**2
Find the second derivative of -5*z**2 - 11*z**2 - 7*z**2 - 5*z**2 - 13*z wrt z.
-56
Let p(b) be the second derivative of b**9/5040 + b**5/30 + 5*b**4/12 + 4*b. Let a(h) be the third derivative of p(h). What is the derivative of a(y) wrt y?
12*y**3
Find the third derivative of 14*y**3 - 9*y**2 - y**2 - 2*y**2 wrt y.
84
Let r(w) be the third derivative of w**8/56 + w**4/3 - 5*w**2. Find the second derivative of r(a) wrt a.
120*a**3
Let f(b) be the third derivative of -b**6/24 + b**5/60 + 4*b**2. Find the third derivative of f(n) wrt n.
-30
Let h = 13 - 11. What is the third derivative of 4*n**2 - n - n - n**3 + h*n wrt n?
-6
Let k = -53/5 - -54/5. Let b(q) be the first derivative of 0*q + k*q**5 + 3/2*q**2 + 0*q**4 + 0*q**3 - 4. Find the second derivative of b(u) wrt u.
12*u**2
Let x(f) be the third derivative of -f**7/5040 - f**6/720 - f**5/30 + 2*f**2. Let t(z) be the third derivative of x(z). What is the derivative of t(s) wrt s?
-1
Let o = -3 - -6. Suppose -o*u = -7*u. What is the second derivative of 5*d**4 - 4*d**4 + u*d - 2*d**4 - d wrt d?
-12*d**2
Let f(j) be the third derivative of 3*j**6/40 - 7*j**4/12 + 5*j**2. Find the second derivative of f(n) wrt n.
54*n
What is the third derivative of -21*h**2 + 22*h**2 + 10*h**5 + 22*h**2 wrt h?
600*h**2
Let f(j) be the third derivative of -j**9/504 + j**5/60 - 7*j**2. Find the third derivative of f(y) wrt y.
-120*y**3
Let h(u) = -5*u**2 - 8*u - 2. Let y(m) = 21*m**2 + 33*m + 9. Let r(a) = 9*h(a) + 2*y(a). What is the second derivative of r(w) wrt w?
-6
Let i = -27 + 28. Let n(f) be the first derivative of 0*f**2 + f - 4/3*f**3 - i. Find the first derivative of n(b) wrt b.
-8*b
Find the third derivative of 77*l**2 - 60*l**2 - 2*l - 2*l**3 + 2*l wrt l.
-12
Let h(w) = 3*w**2 + 1. Let m be h(1). Suppose -m = -2*d + 2. Find the second derivative of k**3 + 7*k - 2*k**3 - 4*k + 0*k**d wrt k.
-6*k
Let m(g) be the first derivative of -6*g**5/5 + 3*g**3 - 10. Find the third derivative of m(f) wrt f.
-144*f
Let r = 7 + -4. Let l(z) = z**3 - 3*z**2 + 2*z - 4. Let o be l(r). What is the first derivative of o*i + 3 - 4 - 2 wrt i?
2
Let u(g) = -2*g**3 - 14*g. Let i(d) = 9*d**3 + 57*d. Let w(o) = 5*i(o) + 21*u(o). Find the second derivative of w(z) wrt z.
18*z
Let r(f) be the third derivative of -11*f**8/336 - 7*f**4/24 + 29*f**2. What is the second derivative of r(u) wrt u?
-220*u**3
Suppose 0*q + 4*q + u = -3, -13 = -q - 3*u. Let d be 12/(-15)*5/q. What is the third derivative of 5*g**2 - g**2 - d*g**6 - 2*g**6 wrt g?
-480*g**3
Let z(n) be the second derivative of -n**4/4 - n**3/3 - n**2 + n. Let d(v) be the first derivative of z(v). Differentiate d(p) with respect to p.
-6
Let u(v) be the first derivative of 0*v - 3/2*v**2 - 4 - 10/3*v**3. What is the second derivative of u(w) wrt w?
-20
Let y(u) be the third derivative of 7*u**6/120 - u**5/10 - 8*u**2. Find the third derivative of y(f) wrt f.
42
Let h be -3 - (-5 - (-6 + 4)). Let k(y) be the third derivative of 1/60*y**5 + h*y**3 + 1/12*y**4 - y**2 + 0 + 0*y. Find the second derivative of k(v) wrt v.
2
Let k(n) be the third derivative of -1/8*n**4 + 0*n**3 + 0 + 3*n**2 + 1/120*n**6 + 0*n + 0*n**5. Find the second derivative of k(p) wrt p.
6*p
Suppose 0*b = -b. Let q(d) be the second derivative of -1/12*d**4 - 1/6*d**3 + 0 + d + b*d**2. What is the second derivative of q(c) wrt c?
-2
Let d(j) = -16*j**4 + 5*j**2 - 18*j + 5. Let o(c) = 15*c**4 - 4*c**2 + 18*c - 4. Let n(g) = 4*d(g) + 5*o(g). Find the second derivative of n(b) wrt b.
132*b**2
Let d = 12 - 10. What is the third derivative of 4*f**4 - 3*f**4 - 2*f**d + 2*f**4 wrt f?
72*f
Differentiate -22*g + 5 - 7*g + 36*g wrt g.
7
Let l = -27 - -30. Differentiate 5*r**2 - l + 2 - r**2 - 2 wrt r.
8*r
Let o(a) be the third derivative of 1/12*a**4 + 1/15*a**6 + 0*a**3 + 0*a + 3*a**2 + 0*a**5 + 0. Find the second derivative of o(j) wrt j.
48*j
Let j(h) = 11*h**3 + 11*h**2 - 22*h - 11. Let s(o) = 5*o**3 + 6*o**2 - 11*o - 6. Let y(w) = 6*j(w) - 11*s(w). What is the second derivative of y(u) wrt u?
66*u
Let v(m) = -17*m**4 - 6*m - 5. Let n(q) = -18*q**4 - 7*q - 6. Let x(y) = 5*n(y) - 6*v(y). Find the second derivative of x(j) wrt j.
144*j**2
Let k(u) be the third derivative of -7*u**6/60 - 25*u**4/24 - 27*u**2. What is the second derivative of k(o) wrt o?
-84*o
Let z(s) = -12*s**2 - 7*s. Let w(g) = 6*g**2 + 4*g. Let j(x) = 5*w(x) + 3*z(x). What is the second derivative of j(n) wrt n?
-12
Let f(r) be the second derivative of -7*r**5/20 - 5*r**3/6 - 3*r. Find the second derivative of f(i) wrt i.
-42*i
Let l = -5 - -6. Differentiate 5*f + 2 - 1 + 1 - l with respect to f.
5
Suppose -2*w + 12 = -2*f, 3*f - 7 = 5*w - 27. Let m = 8 + f. What is the third derivative of 0*x**2 - 5*x**2 - m*x**3 + 4*x**3 + 3*x**2 wrt x?
6
Let r be 8/((-3)/((-3)/2)). Let f = r + -1. What is the second derivative of -3*j**4 + j**4 - f*j + 4*j wrt j?
-24*j**2
Let u(s) be the third derivative of 1/24*s**6 + 0*s**4 + 0 + 0*s**5 - 8*s**2 + 0*s + 5/6*s**3. What is the derivative of u(j) wrt j?
15*j**2
Let q = -4 + 7. Suppose q*m - 12 = -3*r, 5*m - 26 = -4*r - 10. Differentiate 4*u**4 + 0*u**4 - r + 1 wrt u.
16*u**3
Let v be (8/12)/((-4)/66). Let g = -6 - v. Find the third derivative of -5*x**2 + 0*x**2 + 0*x**2 + 2*x**2 - 4*x**g wrt x.
-240*x**2
Suppose 6 + 6 = 6*j. Let c(h) be the first derivative of 1/2*h**4 + 0*h**j - 1/3*h**3 + 0*h + 2. What is the third derivative of c(u) wrt u?
12
Let l(j) be the first derivative of -31*j**2/2 - 32*j + 47. Find the first derivative of l(v) wrt v.
-31
Suppose 15 = 9*v - 6*v. Find the second derivative of -3*g - 5*g - g**2 - 2*g**2 + v*g wrt g.
-6
Suppose -7 - 11 = -3*a. Find the third derivative of -9 + 3 + c**6 + a + 3*c**2 wrt c.
120*c**3
Let h(i) be the third derivative of -i**5/15 + 29*i**4/24 - 17*i**2. Find the second derivative of h(j) wrt j.
-8
Let i = 3 + -3/2. Let d(p) be the first derivative of 2*p - | {
"pile_set_name": "DM Mathematics"
} |
?
True
Is 1111290 a multiple of 170?
True
Does 18 divide 169686?
True
Does 14 divide 1569064?
True
Is 96 a factor of 144864?
True
Does 2 divide 272880?
True
Is 6947160 a multiple of 22?
True
Is 6 a factor of 560658?
True
Is 92 a factor of 39468?
True
Is 15 a factor of 460635?
True
Is 154 a factor of 188532?
False
Does 10 divide 1549520?
True
Is 878478 a multiple of 64?
False
Does 28 divide 59803?
False
Does 40 divide 8683745?
False
Does 782 divide 2105144?
True
Is 180 a factor of 2309760?
True
Does 1249 divide 1530083?
False
Does 44 divide 77044?
True
Is 134 a factor of 309674?
True
Does 99 divide 6158493?
True
Is 51 a factor of 20604?
True
Is 8 a factor of 90982?
False
Does 294 divide 3353070?
True
Does 29 divide 11656840?
True
Is 11 a factor of 6534057?
False
Does 117 divide 892011?
False
Is 1300351 a multiple of 13?
True
Is 189 a factor of 485163?
True
Is 36 a factor of 161773?
False
Is 41 a factor of 146821?
True
Is 354820 a multiple of 314?
True
Does 60 divide 143460?
True
Is 67 a factor of 2982873?
False
Is 18404329 a multiple of 1547?
False
Is 870 a factor of 356700?
True
Is 118 a factor of 4409163?
False
Does 72 divide 245215?
False
Is 2873187 a multiple of 267?
True
Does 331 divide 7105683?
False
Is 2117646 a multiple of 142?
True
Does 13 divide 78421?
False
Is 23 a factor of 23966?
True
Is 93193 a multiple of 41?
True
Is 9 a factor of 686322?
True
Does 1045 divide 2870615?
True
Does 1202 divide 3467459?
False
Does 16 divide 747584?
True
Does 444 divide 172272?
True
Is 8 a factor of 302009?
False
Is 2 a factor of 10013?
False
Does 18 divide 22212?
True
Is 157 a factor of 4799019?
True
Does 433 divide 794988?
True
Is 33 a factor of 144520?
False
Is 4 a factor of 11548?
True
Is 97 a factor of 1305?
False
Does 650 divide 4349800?
True
Does 275 divide 719290?
False
Is 40742 a multiple of 13?
True
Is 11 a factor of 428285?
True
Is 34 a factor of 518908?
True
Does 17 divide 514641?
True
Does 79 divide 474208?
False
Does 12 divide 1284367?
False
Is 147 a factor of 1122933?
True
Is 25 a factor of 202725?
True
Is 46639 a multiple of 67?
False
Is 41 a factor of 1749195?
False
Is 95612 a multiple of 82?
True
Is 891480 a multiple of 184?
True
Is 244952 a multiple of 5?
False
Is 855 a factor of 2178565?
False
Is 95648 a multiple of 16?
True
Is 691086 a multiple of 222?
True
Is 997277 a multiple of 83?
False
Is 30 a factor of 25609?
False
Is 3778434 a multiple of 99?
True
Is 6409464 a multiple of 174?
True
Does 105 divide 455903?
False
Is 244874 a multiple of 25?
False
Is 4460616 a multiple of 856?
True
Does 60 divide 78480?
True
Is 8612212 a multiple of 989?
True
Is 1211868 a multiple of 441?
True
Is 587007 a multiple of 9?
True
Is 12 a factor of 3669384?
True
Is 360 a factor of 5051880?
True
Is 205 a factor of 3807947?
False
Is 4 a factor of 99735?
False
Is 3 a factor of 24429?
True
Does 497 divide 418971?
True
Is 1097248 a multiple of 17?
True
Does 69 divide 31898?
False
Does 31 divide 233492?
True
Is 19 a factor of 145597?
True
Is 352625 a multiple of 160?
False
Is 88 a factor of 24200?
True
Is 15524 a multiple of 21?
False
Is 97 a factor of 16708291?
False
Is 5411966 a multiple of 1099?
False
Is 32 a factor of 4101056?
True
Is 2331876 a multiple of 13?
False
Does 24 divide 73800?
True
Is 428279 a multiple of 142?
False
Is 33096 a multiple of 17?
False
Is 2 a factor of 89884?
True
Does 110 divide 57642?
False
Does 26 divide 10394696?
True
Is 1451 a factor of 11727845?
False
Is 127 a factor of 161671?
True
Does 32 divide 61546?
False
Is 18 a factor of 1280592?
True
Is 3048668 a multiple of 28?
True
Is 16 a factor of 543680?
True
Does 103 divide 1443659?
False
Is 65076 a multiple of 187?
True
Is 459 a factor of 177021?
False
Is 23 a factor of 3975044?
True
Is 62 a factor of 296360?
True
Does 16 divide 157216?
True
Does 122 divide 2932856?
False
Is 157 a factor of 2639798?
True
Is 2114238 a multiple of 426?
True
Is 9 a factor of 8889?
False
Is 51 a factor of 1894956?
True
Does 118 divide 1534354?
True
Is 9834267 a multiple of 111?
True
Does 15 divide 660018?
False
Is 6626956 a multiple of 196?
True
Does 76 divide 841852?
True
Is 1746288 a multiple of 201?
True
Is 46 a factor of 22788078?
True
Is 32 a factor of 1277826?
False
Is 5 a factor of 545785?
True
Is 79991 a multiple of 30?
False
Does 959 divide 1528646?
True
Is 500916 a multiple of 228?
True
Is 8 a factor of 441944?
True
Does 1211 divide 5649077?
False
Does 13 divide 5459636?
True
Is 3551616 a multiple of 144?
True
Is 336 a factor of 7243967?
False
Is 9217895 a multiple of 451?
False
Is 1713361 even?
False
Is 3552854 a multiple of 10?
False
Does 241 divide 559374?
False
Does 68 divide 138008?
False
Is 287 a factor of 566731?
False
Is 3301650 a multiple of 319?
True
Is 13 a factor of 775285?
False
Does 234 divide 1437868?
False
Is 7 a factor of 816491?
False
Is 1170589 a multiple of 80?
False
Is 235184 a multiple of 42?
False
Is 9 a factor of 36999?
True
Is 9 a factor of 1176318?
True
Is 153 a factor of 434979?
True
Is 5022225 a multiple of 153?
True
Is 20 a factor of 141300?
True
Does 30 divide 285120?
True
Is 136 a factor of 586138?
False
Does 87 divide 444043?
False
Does 21 divide 18159771?
True
Is 2175656 a multiple of 47?
False
Is 80 a factor of 181520?
True
Is 291031 a multiple of 4?
False
Is 140420 a multiple of 295?
True
Is 4757348 a multiple of 17?
True
Does 5 divide 63771?
False
Is 37 a factor of 224183?
True
Is 103 a factor of 1368355?
True
Does 25 divide 3610126?
False
Does 710 divide 802300?
True
Is 562950 a multiple of 90?
True
Is 4421544 a multiple of 24?
True
Does 36 divide 297432?
True
Does 208 divide 166981?
False
Is 8573818 a multiple of 121?
True
Is 309 a factor of 201204?
False
Is 153 a factor of 5423513?
False
Is 213 a factor of 15906738?
False
Is 220746 a multiple of 6?
True
Is 1818193 a multiple of 315?
False
Is 290 a factor of 296035?
False
Is 5333598 a multiple of 1791?
True
Does 579 divide 5756418?
True
Does 198 divide 1935108?
False
Does 37 divide 825914?
True
Is 1236 a factor of 9762190?
False
Is 279052 even?
True
Does 255 divide 5238155?
False
Does 27 divide 4183596?
True
Is 450089 a multiple of 556?
False
Is 16 a factor of 132336?
True
Is 166630 a multiple of 24?
False
Is 58112 a multiple of 34?
False
Is 17 a factor of 6786?
False
Does 19 divide 277248?
True
Is 30869141 a multiple of 18?
False
Is 10 a factor of 419445?
False
Is 59 a factor of 1855686?
False
Does 206 divide 113484?
False
Is 525454 a multiple of 16?
False
Does 176 divide 3625433?
False
Is 52160 a multiple of 3?
False
Does 27 divide 183222?
True
Is 23 a factor of 82156?
True
Does 76 divide 20399692?
True
Is 23 a factor of 1719994?
False
Does 131 divide 6006874?
True
Does 359 divide 562774?
False
Is 240112 a multiple of 16?
True
Does 1060 divide 7133800?
True
Is 106151 a multiple of 10?
False
Is 631 a factor of 480822?
True
Does 183 divide 1019502?
False
Is 235532 a multiple of 1111?
True
Does 5 divide 270938?
False
Does 37 divide 304196?
False
Does 6 divide 782449?
False
Is 24 a factor of 302544?
True
Is 1950 a factor of 20000903?
False
Does 17 divide 10353239?
False
Is 3156390 a multiple of 765?
True
Does 15 divide 21966?
False
Does 73 divide 7415486?
True
Is 14605089 a multiple of 131?
False
Is 2948 a multiple of 44?
True
Is 8 a factor of 11385?
False
Does 18 divide 450648?
True
Is 297 a factor of 3984552?
True
Is 15 a factor of 119730?
True
Does 57 divide 346959?
True
Does 954 divide 953939?
False
Is 7 a factor of 3700349?
False
Is 40 a factor of 2490980?
False
Is 11735367 a multiple of 163?
False
Does 533 divide 282786?
False
Does 11 divide 974699?
True
Is 5 a factor of 32737?
False
Does 293 divide 961919?
True
Does 824 divide 1491440?
True
Does 170 divide 938570?
True
Is 273048 a multiple of 248?
True
Is 335160 a multiple of 152?
True
Is 317913 a multiple of 36?
False
Is 23 a factor of 98053?
False
Is 1047 a factor of 3545868?
False
Does 35 divide 175394?
False
Is 38 a factor of 4870612?
True
Is 3238637 a multiple of 23?
False
Is 1604226 a multiple of 786?
True
Is 41691 a multiple of 4?
False
Is 74 a factor of 33374?
True
Is 375951 a multiple of 37?
False
Does 16 divide 4739072?
True
Is 197730 a multiple of 507?
True
Is 50 a factor of 2442726?
False
Does 6 divide 334664?
False
Does 77 d | {
"pile_set_name": "DM Mathematics"
} |
4.13856?
277.655424
Product of 86.4919 and -0.082.
-7.0923358
Work out 2583.3 * -54.545.
-140906.0985
What is the product of -250 and 15.036?
-3759
What is the product of -0.001743 and -1451?
2.529093
Multiply -7 and 331401.94.
-2319813.58
-10 * -6690052
66900520
Multiply -1755.313 and -16.
28085.008
0.2 * -25191605
-5038321
1729*774592
1339269568
-0.3259 times 0.72181
-0.235237879
-664*28796
-19120544
What is 6.792314 times -7?
-47.546198
-1999 times -562918
1125273082
0.2 times -1159942
-231988.4
-109.93 * -13.54
1488.4522
What is 0.726315155 times 0?
0
87913*-3.42
-300662.46
Multiply -251066 and 558.
-140094828
Calculate -0.077189*-0.0282.
0.0021767298
-0.0092835966*0.4
-0.00371343864
What is 2 times -3406.09007?
-6812.18014
Multiply 9004057 and 0.
0
-0.631565 * 0.115
-0.072629975
What is -7381144 times 17?
-125479448
Multiply 0.3 and -34.281767.
-10.2845301
What is the product of -302475 and -65?
19660875
What is -4733 times 1896?
-8973768
Multiply 240234 and 29.
6966786
61916*-579
-35849364
623.786*293
182769.298
Work out 1196 * -6.0101.
-7188.0796
Product of -1177.4064 and -12.
14128.8768
What is the product of -21180 and 107.8?
-2283204
What is the product of -10 and 0.0618511?
-0.618511
Work out -0.14731 * -162.
23.86422
Product of 0.715861923 and 0.3.
0.2147585769
-4 * -3.69921
14.79684
Work out 4 * -751.7994.
-3007.1976
Multiply 21 and -91199.9.
-1915197.9
-145 times 1297.2
-188094
Calculate 59652*-24.58.
-1466246.16
Product of 2.1766 and -3459.
-7528.8594
0.2200388*-34
-7.4813192
What is -100.6 times -118.13?
11883.878
What is the product of 90611540 and -0.5?
-45305770
-0.03013378 * -22
0.66294316
Product of -652639 and -7.
4568473
Calculate 0.12606*-239.
-30.12834
Product of -120.231996 and -6.
721.391976
What is -0.006377896 times 0?
0
Product of 3 and -12978525.
-38935575
Product of -0.4 and -0.2254704.
0.09018816
Calculate -276537.61*2.
-553075.22
What is 0.9554 times -2652?
-2533.7208
Work out -140 * 115912.
-16227680
Calculate 0.029966*-1.7.
-0.0509422
What is 402 times -3525?
-1417050
Calculate 1.79*0.030331.
0.05429249
Product of -107426 and -3941.
423365866
Calculate -0.1*0.61826487.
-0.061826487
-834111 * -0.141
117609.651
Multiply 0 and -6019.553.
0
Multiply -0.092 and 23451.2.
-2157.5104
-114 * 0.0131371
-1.4976294
Calculate 8011.556*2.
16023.112
What is the product of -15117303 and 0.1?
-1511730.3
Calculate 6.398351*-0.2.
-1.2796702
Multiply 6440702 and 0.02.
128814.04
0.02*2694122
53882.44
Multiply 2.85 and -0.801.
-2.28285
4 times -43598.21
-174392.84
Work out -86.2 * 101.
-8706.2
What is the product of 5.1547 and 0.56?
2.886632
Product of 51.89 and -131.45.
-6820.9405
Multiply 566137522 and -0.4.
-226455008.8
-2780*4589
-12757420
Work out -75 * 51308.
-3848100
What is the product of 2 and -293112672?
-586225344
Product of -545.9586 and 0.5.
-272.9793
18366 times 47
863202
6186*18708
115727688
-6.9031 * 0.1373
-0.94779563
Multiply -493 and -0.10357.
51.06001
Calculate -5*22535318.
-112676590
What is -0.981 times -495?
485.595
-1*-7.90173
7.90173
Multiply 0.05 and -53.13921.
-2.6569605
What is the product of 0.5 and -3882718?
-1941359
Work out -0.068634 * 5.
-0.34317
Calculate 0.5*-18.885147.
-9.4425735
What is the product of 7670067 and -24?
-184081608
What is 65365 times 553?
36146845
What is the product of -9 and 0.011245872?
-0.101212848
-213 times 0.4267
-90.8871
-0.52673*-7042
3709.23266
-0.1 times 2699540
-269954
-6 * 27508511
-165051066
Calculate 0.2*-1761.934.
-352.3868
341.421 * -368
-125642.928
3*-0.877484
-2.632452
Calculate 2241*-53.8.
-120565.8
What is the product of 9077738 and -0.5?
-4538869
Work out -10 * -0.1147044.
1.147044
What is the product of 221 and 166?
36686
What is -3 times 2136608?
-6409824
0.256 times 8.692
2.225152
Product of 41.69 and 0.126601.
5.27799569
What is the product of -793 and -660371?
523674203
Multiply 2 and 450847.13.
901694.26
0 times -5376248.1
0
695209.2*-0.1
-69520.92
Work out -2955 * 0.15.
-443.25
Product of -49686542 and 0.
0
4 times -5278878
-21115512
What is the product of 27703.23 and 4?
110812.92
Product of -11739 and -220.66.
2590327.74
Product of -4.8 and 73.754.
-354.0192
Multiply 0.041288502 and 0.
0
0.3*-3517757
-1055327.1
Calculate -6.2*-332132.
2059218.4
-65 * 349585
-22723025
Multiply -105.12 and -670.
70430.4
What is -6 times -13802053?
82812318
Multiply 0.2 and -38049879.
-7609975.8
Product of -105.5 and 5.9041.
-622.88255
-0.05*320.2062
-16.01031
Work out 28298283 * -0.09.
-2546845.47
What is the product of -0.4 and 96.853?
-38.7412
0.06166578*-1
-0.06166578
Calculate 3*-2050202.
-6150606
-335910 times -650
218341500
138954 * 28
3890712
1322678 * -0.87
-1150729.86
Calculate -11886*520.
-6180720
What is the product of -14654.9 and -57?
835329.3
What is -0.3 times -103665383?
31099614.9
Multiply -20381 and 17775.
-362272275
What is the product of 61369080 and 1?
61369080
Calculate -2201687*1.
-2201687
-18617*-0.0159
296.0103
-0.2 times 963639.4
-192727.88
7.19309 * -0.087
-0.62579883
142231.3 * -213
-30295266.9
0.164601 * -1038
-170.855838
What is the product of 3026.416 and 0.5?
1513.208
1830.8 * 2951
5402690.8
What is -604 times 1042820?
-629863280
-34*-2.71224
92.21616
Multiply -176.64 and -161.
28439.04
-0.8246*-48
39.5808
What is 6 times -19804542?
-118827252
Multiply -739 and 49282.
-36419398
Product of 11575.1 and -0.04.
-463.004
Calculate 48618*-7.98.
-387971.64
Calculate 83.253*-802.
-66768.906
Product of -2504.4 and -645.
1615338
-12*2115.37
-25384.44
-229295*0.091
-20865.845
Calculate -47*-2482915.
116697005
What is 0.02 times -0.32747809?
-0.0065495618
1952*8021
15656992
Calculate 0.3*-9.3278063.
-2.79834189
689877489 * 0
0
2*-368.8478
-737.6956
Product of 48417 and 208.
10070736
What is the product of -89762 and 105.3?
-9451938.6
-14362872 * -2
28725744
Calculate 0.4*-39.284541.
-15.7138164
What is the product of -2 and -25.65967?
51.31934
Multiply -381 and 0.4069.
-155.0289
-2406.7*1.36
-3273.112
-0.5 times 0.00219874
-0.00109937
Work out -509 * -707328.
360029952
-13*-4008982
52116766
-4 * -4.05268
16.21072
What is 307 times 0.286?
87.802
Product of 0.0241 and 0.01429.
0.000344389
What is the product of -1448 and 1163?
-1684024
Work out -242.34 * 0.0371.
-8.990814
What is the product of -0.09 and 139.0479?
-12.514311
Work out -113 * -7168.07.
809991.91
Work out -11329 * 597.
-6763413
19*-0.614639
-11.678141
-9785084 * -0.5
4892542
6907*58483
403942081
What is the product of 3 and 14.079?
42.237
Multiply -1139615 and -0.0349.
39772.5635
Multiply 0.5 and 15958.11.
7979.055
Calculate -538.7*-43782.
23585363.4
What is the product of -42 and 0.0912794?
-3.8337348
109771 times -0.05148
-5651.01108
Multiply -49573 and -278.
13781294
Multiply -22526215 and -0.3.
6757864.5
What is the product of -20.413 and 138?
-2816.994
What is -2471681 times 141?
-348507021
-1461.384 times 8
-11691.072
Product of 2 and -0.23633614.
-0.47267228
What is -1.9 times -1143.97?
2173.543
What is 8782029 times 6?
52692174
-2685 times -26
69810
Calculate -1*-32144807.
32144807
Multiply -0.9 and -451290.
406161
-3 * 2141114
-6423342
What is 241166 times 127?
30628082
What is the product of -7349 and -504?
3703896
Calculate 4*-16113134.
-64452536
Product of 2 and 1569484.
3138968
-0.1*3642796
-364279.6
Work out 28342426 * -0.3.
-8502727.8
-0.1 times -9330184
933018.4
Calculate 2.274*185538.
421913.412
Calculate -0.1922451*29.
-5.5751079
Product of 2000.653 and -0.1.
-200.0653
-538724 times -15
8080860
What is the product of -2 and 36912417?
-73824834
Calculate 159509147*-2.
-319018294
-191030.22 * 5.1
-974254.122
-0.21*-2256709
473908.89
10*5663099
56630990
Multiply -0.33 and 6113938.
-2017599.54
3 times 34580038
103740114
206935408 * 4
827741632
What is the product of 0.1 and 3632352?
363235.2
What is -1715 times -4.818?
8262.87
Calculate -39545*-400.
15818000
2 times -20025750
-40051500
-6219965*0.18
-1119593.7
Product of -47 and -284452.
13369244
-2.143*-673
1442.239
Work out -0.1 * 526712.
-52671.2
Product of -0.02703 and 0.1456.
-0.003935568
Calculate 33.6033*-1.3.
-43.68429
What is the product of -26 and -5341306?
138873956
Work out -0.06 * 4422818.
-265369.08
-503133112 * -3
1509399336
Product of 0.52287 and -345.
-180.39015
Calculate -7635.8*-30.
229074
-1483383 | {
"pile_set_name": "DM Mathematics"
} |
59).
-6
Let q(d) = -d**3 - 140*d**2 - 27*d - 3779. What is q(-140)?
1
Let x(d) = -5*d**3 - 21*d**2 + 19*d + 38. Determine x(5).
-1017
Let l(k) = 95*k + 6538. Determine l(-69).
-17
Let c(k) = 44*k**3 + k**2 + 450*k - 452. Give c(1).
43
Let t(y) = y**3 - 21*y**2 + 79*y - 12. What is t(4)?
32
Let h(n) = -n**3 + 99*n**2 - 892*n + 193. What is h(89)?
15
Let v(g) = 3*g**2 - 4840*g - 24196. Give v(-5).
79
Let w(y) = -6*y**2 + 2*y - 33. Give w(-8).
-433
Let f(p) = -p**3 + 11*p**2 + 53*p - 361. Give f(13).
-10
Let f(m) = 40*m + 634. Give f(-17).
-46
Let r(a) = -624*a - 10. Give r(0).
-10
Let l(y) = -12*y + 343. What is l(22)?
79
Let b(m) = -6*m**2 - 30*m + 9. What is b(-4)?
33
Let z(w) = -w**3 - 26*w**2 - 61*w + 979. What is z(-21)?
55
Let r(a) = a**3 - 5*a + 229. Calculate r(0).
229
Let t(s) = s**3 - 81*s**2 - 346*s - 28. Determine t(-4).
-4
Let q(s) = -70*s**2 - 91*s - 7. Determine q(0).
-7
Let z(g) = -2374*g + 9458. Determine z(4).
-38
Let q(w) = w**3 - 2*w**2 - 24*w - 66. Calculate q(8).
126
Let q(t) = 70*t + 10638. What is q(-152)?
-2
Let b(w) = 28*w + 116. Give b(-6).
-52
Let t(w) = w**3 - 49*w**2 + 133*w + 227. Determine t(46).
-3
Let b(a) = 2*a**3 - 14*a**2 + 51*a - 298. Calculate b(7).
59
Let l(x) = -12*x**2 + 254*x - 36. Calculate l(21).
6
Let k(j) = j**2 - 51*j + 679. What is k(35)?
119
Let p(i) = -i**3 - 21*i**2 - 300*i - 7966. Determine p(-23).
-8
Let z(k) = 12*k - 13. What is z(1)?
-1
Let t(b) = -4*b**3 - 30*b + 107. What is t(4)?
-269
Let v(d) = -2*d**3 - 13*d**2 - 5*d + 59. Give v(-5).
9
Let q(n) = 108*n - 5932. Give q(55).
8
Let d(y) = 81*y - 84. Determine d(0).
-84
Let d(t) = t**2 - 169*t - 2888. What is d(-16)?
72
Let o(r) = r**3 - 23*r**2 - 7*r - 70. Calculate o(23).
-231
Let y(s) = -487*s - 261. Calculate y(-3).
1200
Let y(k) = 6*k**2 + 71*k + 213. Calculate y(-5).
8
Let s(k) = -6*k**2 + 5*k + 13. Give s(4).
-63
Let m(h) = -h**2 + 185*h - 3831. What is m(161)?
33
Let b(k) = -7*k**2 + 261*k - 1338. What is b(31)?
26
Let m(l) = 2*l**3 + 20*l**2 + 6*l - 21. Give m(-8).
187
Let z(m) = -823*m - 20578. What is z(-25)?
-3
Let n(o) = -o**2 - 18*o + 432. What is n(-31)?
29
Let n(l) = l**3 + 14*l**2 - 34*l + 1. Calculate n(2).
-3
Let g(l) = l**2 - 12*l - 89. Determine g(18).
19
Let b(h) = -84*h**2 - 3*h + 1. What is b(-1)?
-80
Let s(l) = 765*l + 3096. What is s(-4)?
36
Let t(r) = -539*r + 1214. Determine t(2).
136
Let x(h) = h**3 - 26*h**2 + 46*h + 67. Determine x(24).
19
Let r(l) = -410*l - 34026. Determine r(-83).
4
Let t(g) = -16*g + 48. Give t(3).
0
Let s(b) = 18*b**2 + 668*b + 98. Calculate s(-37).
24
Let h(j) = j**3 - 33*j**2 + 20*j + 378. Give h(32).
-6
Let v(j) = -2*j**3 + 145*j**2 - 215*j + 164. Calculate v(71).
22
Let b(g) = 2485*g - 7494. Determine b(3).
-39
Let p(o) = o**2 - 81*o + 447. Give p(6).
-3
Let l(p) = 2*p**3 - 5*p**2 + 2*p - 15. Give l(4).
41
Let k(j) = -j**3 + 58*j**2 + 59*j - 24. Determine k(59).
-24
Let c(r) = -20*r**3 + 6*r**2 - 15*r + 13. Give c(3).
-518
Let d(k) = 2*k**2 + 119*k - 169. Calculate d(-61).
14
Let i(u) = -u**3 + 34*u**2 - 62*u - 225. Calculate i(32).
-161
Let o(a) = -183*a**2 - 1264*a + 135. Give o(-7).
16
Let k(s) = s**2 + 31*s - 3637. Determine k(47).
29
Let p(b) = b**3 - 18*b**2 - 248*b + 21. What is p(-9)?
66
Let m(i) = i**3 + 7*i**2 + 50*i + 451. Calculate m(-8).
-13
Let p(y) = 23*y**3 - 208*y**2 + 5*y + 17. What is p(9)?
-19
Let x(l) = -2*l**2 + 183*l - 718. What is x(4)?
-18
Let l(y) = -17*y**2 + 41*y + 1134. Calculate l(-7).
14
Let y(k) = 474*k - 1894. What is y(4)?
2
Let j(y) = 3*y**3 - 73*y**2 + 29*y + 109. Give j(24).
229
Let d(k) = -k**3 - 30*k**2 - 192*k - 50. What is d(-13)?
-427
Let q(c) = -241*c**2 + 11806*c + 148. Calculate q(49).
1
Let y(w) = -w**3 + 64*w**2 - 188*w + 146. Determine y(61).
-159
Let b(i) = -11*i - 501. Determine b(-49).
38
Let x(l) = 603*l + 2422. Calculate x(-4).
10
Let r(a) = -2*a**2 - 207*a + 1286. What is r(6)?
-28
Let m(n) = 3*n**3 + 15*n**2 + 7*n - 27. What is m(-4)?
-7
Let y(r) = -r**3 - 15*r**2 - 36*r - 42. Give y(-11).
-130
Let p(h) = -15*h**3 - 195*h**2 - 231*h - 3002. Calculate p(-13).
1
Let f(w) = -w**3 + 114*w**2 - 2770*w + 65. Calculate f(79).
-330
Let p(o) = -33*o + 257. What is p(9)?
-40
Let f(n) = 640*n + 7060. Determine f(-11).
20
Let b(h) = h**2 - 90*h + 812. Calculate b(10).
12
Let t(b) = b**2 + 10*b - 128. What is t(13)?
171
Let w(c) = -124*c + 4832. Calculate w(39).
-4
Let u(b) = 14*b**2 - 50*b - 22. Calculate u(7).
314
Let g(k) = k**2 + 2*k - 18. Calculate g(-13).
125
Let h(i) = -3*i**3 - 44*i**2 - 168*i - 38. Calculate h(-7).
11
Let l(s) = 2*s**2 - 81*s + 446. Determine l(6).
32
Let y(r) = 153*r - 5641. What is y(37)?
20
Let r(g) = 100*g**2 + 504*g - 3. Give r(-5).
-23
Let l(u) = -396*u**3 - u**2 + u + 4. What is l(-1)?
398
Let s(l) = 284*l**2 - 2275*l + 17. What is s(8)?
-7
Let h(m) = -m**3 - 34*m**2 + 42*m + 254. What is h(-35)?
9
Let d(q) = 334*q + 50778. Give d(-152).
10
Let a(x) = -x**3 - 21*x**2 - 43*x + 65. Calculate a(-20).
525
Let s(x) = -2*x**2 + 1169*x - 3496. Calculate s(3).
-7
Let h(y) = 4*y**2 - 131*y - 109. Determine h(35).
206
Let d(y) = y**3 - 2*y**2 + 28*y - 102. What is d(4)?
42
Let h(a) = 29*a**2 - 542*a - 69. Give h(19).
102
Let m(r) = 15*r - 47. Determine m(7).
58
Let n(u) = -49*u - 1517. Give n(-31).
2
Let s(m) = m**3 + 12*m**2 + 17*m + 28. What is s(-11)?
-38
Let p(a) = -2112*a + 16902. Determine p(8).
6
Let t(d) = -d**2 + 837*d - 84245. What is t(117)?
-5
Let b(l) = -3*l**3 - 30*l**2 + 26*l - 72. Determine b(-11).
5
Let l(v) = v**3 + 180*v**2 - 365*v - 194. Give l(-182).
-12
Let b(h) = h**2 - 508*h + 24911. Determine b(55).
-4
Let y(m) = -15*m**2 + 20*m + 193. Calculate y(-3).
-2
Let m(p) = p**3 + 5*p**2 + 2*p - 21. Determine m(-3).
-9
Let r(s) = -102*s - 6016. Calculate r(-59).
2
Let n(t) = 35*t + 368. Determine n(-14).
-122
Let u(q) = q**3 + 6*q**2 - 5*q - 152. Determine u(0).
-152
Let q(d) = 43*d - 944. Determine q(22).
2
Let z(u) = 23*u + 192. Determine z(-7).
31
Let d(z) = -1731*z - 6911. What is d(-4)?
13
Let d(b) = 3*b**3 - 11*b**2 + 11*b + 2. Calculate d(4).
62
Let h(s) = -44*s**3 - 3*s**2 + 11*s - 8. Give h(1).
-44
Let c(n) = 4*n**2 + 125*n + 19. Give c(-31).
-12
Let n(d) = -2*d**2 - 678*d - 3349. Determine n(-5).
-9
Let j(r) = 2*r**3 + 12*r**2 - 36*r - 23. Give j(-8).
9
Let f(u) = -12*u**3 + 98*u**2 - 22*u + 48. What is f(8)?
0
Let a(u) = u**3 + 106*u**2 - 1016*u + 2187. Give a(-115).
2
Let f(u) = -100*u - 696. What is f(-7)?
4
Let n(o) = -36*o**2 - 953*o + 511. Give n(-27).
-2
Let i(s) = -19*s - 2141. What is i(-113)?
6
Let x(d) = -d**3 - 13*d**2 + 28*d + 2. Determine x(-15).
32
Let m(r) = 36*r + 1799. What is m(-51)?
-37
Let d(i) = -3*i**3 + 19*i**2 - 41*i + 8. Calculate d(6).
-202
Let p(d) = 2*d**2 - 32*d - 16. What is p(16)?
-16
Let x(c) = c**2 - 55*c - 640. What is x(59)?
-404
Let m(w) = 383*w + 228. Calculate m(-1).
-155
Let g(j) = -190*j - 2692. Determine g(-14).
-32
Let r(u) = u**3 - 2*u**2 + 19. Give r(-3).
-26
Let m(j) = 6*j + 37. Give m(-13).
-41
Let j(r) = 40*r + 1327. Calculate j(-32).
47
Let s(i) = -673*i - 2023. Calculate s(-3).
-4
Let u(v) = -3*v**2 + 184*v - 1963. Calculate u(14).
25
Let z(t) = -t - 128. Determine z(24).
-152
Let r(s) = -s**3 - 6*s**2 + 21*s + 134. What is r(-4)?
18
Let o(h) = -1117*h - 4467. What is o(-4)?
1
Let l(k) = -k**3 - 13*k**2 + 17*k + 44. Give l(-14).
2
Let g(d) = d**3 - 6*d**2 + 7*d + 7. Give g(5).
17
Let l(u) = 28*u + 2941. Determine l(-105).
1
Let c(j) = j**2 - 8*j - 132. Give c(17).
21
Let f(z) = 11*z**2 + 50*z - 39. Determine f(-5).
-14
Let t(y) = y**3 - 8*y**2 - 50*y + 447. What is t(8)?
47
Let b(m) = 21*m**2 + 52*m - 282. Determine b(-5).
-17
Let d(b) = 47*b**3 - 2*b**2 - 31*b - 55. What is d(-2)?
-377
Let d(h) = -639*h - 45361. Determine d(-71).
8
Let g(z) = z**3 + 13*z**2 - 42*z - 534. Calculate g(-13).
12
Let t(h) = -28*h**2 + 16*h - 17. Determine t(1).
-29
Let r(k) = k**3 - 18*k**2 + 9*k + 5. Determine r(18).
167
Let r(z) = 66*z**2 + 19*z - 2. Calculate r(-1).
45
Let g(u) = 4*u - 244. Give g(-41).
-408
Let z(y) = 416*y - 27065. Determine z(65).
-25
Let p(f) = -10*f**2 + 2*f - 11. Calculate p(0).
-11
Let p(q) = -q**3 + 21*q**2 - 16*q - 219. What is p(20)?
-139
Let c(b) = -3*b**3 - 21*b**2 + 82*b - 55. Calculate c(4).
-255
Let m(p) = 4*p**2 - 37*p - 327 | {
"pile_set_name": "DM Mathematics"
} |
1/88
Four letters picked without replacement from lacaacawacll. What is prob of sequence cwll?
1/660
Two letters picked without replacement from {d: 2, l: 2, k: 1, c: 1, y: 2}. Give prob of sequence cl.
1/28
Two letters picked without replacement from dswywddyiy. What is prob of sequence sy?
1/30
Four letters picked without replacement from {j: 2, l: 2, z: 2}. Give prob of sequence zzzz.
0
Two letters picked without replacement from {e: 4, v: 3}. What is prob of sequence ee?
2/7
What is prob of sequence zzz when three letters picked without replacement from fzfzffz?
1/35
Three letters picked without replacement from {u: 2, b: 11}. What is prob of sequence ubb?
5/39
What is prob of sequence piy when three letters picked without replacement from iyiplip?
1/35
Calculate prob of sequence iaa when three letters picked without replacement from {a: 3, e: 1, n: 2, i: 1}.
1/35
What is prob of sequence vmr when three letters picked without replacement from rmwrrvrmww?
1/90
Three letters picked without replacement from vavlglo. What is prob of sequence lgv?
2/105
What is prob of sequence kye when three letters picked without replacement from kklekkekkeeltyekk?
1/102
Calculate prob of sequence inn when three letters picked without replacement from nnyyiyny.
1/56
Three letters picked without replacement from xzgsm. Give prob of sequence xzm.
1/60
Four letters picked without replacement from fvkfekeetvvxeffkk. Give prob of sequence kxve.
1/1190
Two letters picked without replacement from {c: 3, t: 2, e: 1, p: 7, d: 1}. What is prob of sequence pt?
1/13
Two letters picked without replacement from uuue. Give prob of sequence eu.
1/4
Calculate prob of sequence nns when three letters picked without replacement from nnnsnnnssn.
7/40
Calculate prob of sequence hww when three letters picked without replacement from {w: 3, h: 9}.
9/220
Calculate prob of sequence wwv when three letters picked without replacement from {w: 4, q: 6, v: 2}.
1/55
Three letters picked without replacement from {q: 6, f: 4, p: 2}. Give prob of sequence fqf.
3/55
Four letters picked without replacement from ninovovoxonoox. Give prob of sequence xnvo.
3/1001
Two letters picked without replacement from {k: 1, q: 1, x: 1, z: 1, m: 1}. What is prob of sequence mz?
1/20
Four letters picked without replacement from {c: 3, f: 1, j: 1}. Give prob of sequence fjcc.
1/20
Four letters picked without replacement from {r: 2, y: 2, o: 1, i: 1, p: 2}. Give prob of sequence ypip.
1/420
Three letters picked without replacement from gkkkkxkxkqkx. Give prob of sequence xqx.
1/220
Calculate prob of sequence tcqp when four letters picked without replacement from pmmmmtqmcqqm.
1/3960
Three letters picked without replacement from {f: 7, l: 4, t: 3, k: 1, m: 2}. Give prob of sequence fft.
21/680
Calculate prob of sequence uull when four letters picked without replacement from luullu.
1/10
Calculate prob of sequence uj when two letters picked without replacement from fzvvzfjfnjfu.
1/66
Four letters picked without replacement from jrjrr. Give prob of sequence jrjr.
1/10
Three letters picked without replacement from {s: 1, m: 1, t: 3, y: 3, k: 2}. What is prob of sequence tsm?
1/240
Two letters picked without replacement from {t: 2, p: 3, s: 1, r: 4, e: 1}. What is prob of sequence te?
1/55
Two letters picked without replacement from ddoec. Give prob of sequence dd.
1/10
Four letters picked without replacement from apapttaatattnpa. Give prob of sequence aant.
5/1092
Two letters picked without replacement from dqqqvjqdqqqv. Give prob of sequence vv.
1/66
Three letters picked without replacement from {k: 2, a: 2, z: 2, h: 1, q: 5, s: 1}. Give prob of sequence kks.
1/858
Calculate prob of sequence ppdm when four letters picked without replacement from pkmmpopodpho.
1/495
Three letters picked without replacement from {z: 4, n: 14}. What is prob of sequence znn?
91/612
Four letters picked without replacement from mmrmuummmmrmm. What is prob of sequence uuur?
0
What is prob of sequence zo when two letters picked without replacement from ziioziozzzzozzzzzzoz?
13/95
What is prob of sequence oajo when four letters picked without replacement from oajajcocacaaacaaaj?
1/1360
What is prob of sequence ff when two letters picked without replacement from kkffffffkk?
1/3
Calculate prob of sequence kkai when four letters picked without replacement from {i: 5, a: 5, k: 2}.
5/1188
What is prob of sequence mk when two letters picked without replacement from mmmk?
1/4
What is prob of sequence mhvm when four letters picked without replacement from {y: 3, v: 2, f: 8, m: 2, h: 1, j: 1}?
1/14280
Four letters picked without replacement from {v: 1, q: 1, x: 2, l: 3, b: 4, d: 1}. What is prob of sequence vlqb?
1/990
What is prob of sequence iiii when four letters picked without replacement from wiiiwwiiiiiwwwwwwiii?
22/323
Calculate prob of sequence gog when three letters picked without replacement from ggogoooggoogggggggg.
52/323
Calculate prob of sequence jey when three letters picked without replacement from yececccj.
1/168
Calculate prob of sequence uu when two letters picked without replacement from {d: 3, u: 4, o: 4}.
6/55
What is prob of sequence gi when two letters picked without replacement from ggibg?
3/20
What is prob of sequence mqd when three letters picked without replacement from {q: 1, m: 1, d: 2}?
1/12
Two letters picked without replacement from {q: 1, a: 9, u: 2, f: 1, l: 1, i: 1}. Give prob of sequence aq.
3/70
Three letters picked without replacement from {t: 1, k: 2, y: 2}. Give prob of sequence kky.
1/15
What is prob of sequence oo when two letters picked without replacement from azzezazzesazaoozzzz?
1/171
Four letters picked without replacement from {i: 5, z: 3, x: 2, v: 1, o: 1}. Give prob of sequence vxio.
1/1188
Four letters picked without replacement from xcbxb. What is prob of sequence xxcb?
1/30
Two letters picked without replacement from {o: 11, i: 1}. Give prob of sequence io.
1/12
What is prob of sequence ii when two letters picked without replacement from iiaaa?
1/10
Three letters picked without replacement from jdjdjdjjdjdjjddjdjd. Give prob of sequence ddd.
28/323
Calculate prob of sequence td when two letters picked without replacement from {z: 2, j: 1, d: 1, t: 1}.
1/20
Four letters picked without replacement from xkkxxkxx. Give prob of sequence xxkx.
3/28
Three letters picked without replacement from {e: 4, a: 1, z: 2}. What is prob of sequence zee?
4/35
Three letters picked without replacement from {g: 1, p: 2, s: 2}. Give prob of sequence gpp.
1/30
What is prob of sequence vj when two letters picked without replacement from {j: 5, v: 2, w: 1, g: 11}?
5/171
Three letters picked without replacement from {j: 2, m: 2, s: 1, a: 1}. What is prob of sequence jaj?
1/60
Three letters picked without replacement from {u: 3, v: 4}. Give prob of sequence vuu.
4/35
Calculate prob of sequence ff when two letters picked without replacement from rrnzrrnrnrffz.
1/78
Calculate prob of sequence uuuv when four letters picked without replacement from {u: 11, v: 9}.
99/1292
Calculate prob of sequence innp when four letters picked without replacement from pnnppnppnnpnpnpnppip.
77/14535
Calculate prob of sequence myms when four letters picked without replacement from suyvysmsmyyssttyyys.
7/7752
What is prob of sequence mx when two letters picked without replacement from mxmaxxexya?
4/45
Three letters picked without replacement from {h: 2, z: 1, q: 1, n: 1}. Give prob of sequence nhq.
1/30
Two letters picked without replacement from {l: 1, m: 1, b: 9, u: 2, z: 4}. What is prob of sequence uz?
1/34
Two letters picked without replacement from sppspppppppppppspsp. What is prob of sequence ss?
2/57
Two letters picked without replacement from ilflllelqllfllleeii. What is prob of sequence fl?
10/171
Calculate prob of sequence kp when two letters picked without replacement from otkprpto.
1/28
Three letters picked without replacement from jfifffofflfjltlooj. Give prob of sequence ifj.
7/1632
Four letters picked without replacement from {q: 3, h: 3}. What is prob of sequence hhqh?
1/20
Four letters picked without replacement from {u: 4, y: 1, h: 5}. Give prob of sequence uyyu.
0
Four letters picked without replacement from eeeeeeeeeeepp | {
"pile_set_name": "DM Mathematics"
} |
r(z)?
-1
Let m(t) = 4*t. Let u(r) = -2*r**3 + 4*r**2 - 3*r. Let f be u(3). Let y = -28 - f. Determine m(y).
-4
Let r(b) = -b + 6. Let q be 12/(-9)*9/(-2). Let x be r(q). Let t(p) = 6*p + 2. Let u(o) = -o. Let l(m) = t(m) + 5*u(m). Give l(x).
2
Suppose -2*a - 2*d - 16 = 8, 3*d = -4*a - 48. Let z = -9 - a. Let w(c) be the second derivative of -c**3/2 + c**2/2 + c. Calculate w(z).
-8
Let r(s) = -s**2 + 6*s + 9. Let p be r(7). Let y(h) = h**3 + h**2 + 2*h - 3. What is y(p)?
13
Let t(f) be the second derivative of -f**5/20 + 5*f**4/12 + 5*f**3/6 + 7*f**2/2 + 2*f - 13. Let a(m) = -m**3 + 5*m**2 - 4*m + 6. Let j be a(4). Determine t(j).
1
Let f(i) = -13*i + 5 - 2*i + i. Let s(t) = -5*t + 2. Let u be 3*(3 - (-6)/(-3)). Let h(d) = u*f(d) - 8*s(d). Determine h(1).
-3
Let v(r) = -3*r**2 + r + 1. Let w(n) = n - 5. Let z be w(4). Calculate v(z).
-3
Suppose 0 = -4*w - 5*s + 23, -2*s = -0*s - 6. Suppose 0 = w*z - 3*l + 11, 3*z + 3*l + l - 26 = 0. Let d(h) = h**2 + 3*h - 3. Determine d(z).
7
Suppose 2*z = 3*z. Let r be (-2)/(-6) + (-30)/9. Let h(k) = -3*k**3 - 8*k**2 - 2. Let c(v) = -v**3 - 3*v**2 - 1. Let u(f) = r*h(f) + 8*c(f). Give u(z).
-2
Let g(l) = -l**2 + l + 5. Suppose -5 = -2*j + 5. Determine g(j).
-15
Let n(v) be the third derivative of -v**5/6 + v**4/24 + v**3/6 - 7*v**2. Determine n(-1).
-10
Let h be (6/(-12))/((-2)/(-16)). Let f = -3 - h. Suppose -2*y - f = -11. Let q(m) = m + 2. Determine q(y).
7
Let q(k) be the second derivative of -k**5/20 - k**4/6 - k**3/3 + k**2/2 - 6*k. Determine q(-2).
5
Suppose 8 = -3*l + 2*l + 2*v, 2*v - 8 = -l. Let d(r) = -13*r**2 + 2 + 4*r + l + 16*r**2. Give d(-2).
6
Let q(u) = -u - 7. Let x = 53 - 62. What is q(x)?
2
Let w(b) = -2*b + 1. Let i be w(-1). Suppose 0*c = -i*c. Suppose c = -o - o - 8. Let n(u) = u - 3. What is n(o)?
-7
Let t(l) = l**2 + 2*l - 2. Let g(n) = n**2 + 10*n - 3. Let z(v) = -4*v - 2. Let u be z(2). Let x be g(u). Determine t(x).
1
Let k(g) = -3*g**3 + 9*g**2 + g + 9. Let r(z) = -z**3 + 1. Let d(p) = -k(p) + 4*r(p). Calculate d(-9).
4
Let i(h) = h**3 + 10*h**2 + 9*h + 6. Let j be i(-9). Let n(u) = -j + u**3 + 2*u - 3*u - 1. What is n(0)?
-7
Let g = -4 + 9. Suppose g*a - 3*a = 0. Let j(f) be the first derivative of -f**2/2 - f - 18. Calculate j(a).
-1
Suppose 1 + 7 = -4*o. Let l(n) = 2*n + 2. What is l(o)?
-2
Let l(s) be the second derivative of s**4/12 + s**3 + 3*s**2/2 - s. Suppose 2*x - 3*p = x - 15, -4*x + 10 = 2*p. Let m = x + -4. Determine l(m).
-5
Suppose -m + 18 = 3*r + 3*m, -5*m - 12 = -2*r. Let u(p) = p**3 - 7*p**2 + 6*p - 8. What is u(r)?
-8
Suppose n + 8 = -3*n, 5*d = -n - 2. Let o(a) = d + 1 - a**2 - a**2 + 4*a**2. Determine o(1).
3
Let w(y) be the second derivative of y**5/20 - y**4/3 + y**3/2 - y**2/2 - 11*y. Give w(3).
-1
Let x(a) = -a**2 - 8*a - 7. Let l(o) = -o - 17. Let f be l(-10). Determine x(f).
0
Let p(v) be the third derivative of 0 + 1/60*v**5 - v**2 + 0*v + 0*v**3 + 1/12*v**4. What is p(-2)?
0
Let q(h) be the first derivative of -h**3/3 - 4*h**2 + 6*h + 1. Let a be q(-9). Let d(u) = u + 5. Give d(a).
2
Let g(a) be the third derivative of -a**6/120 + 2*a**5/15 - a**4/4 - a**3/6 - 27*a**2. Calculate g(7).
6
Let d(n) be the first derivative of n**4/12 - 5*n**3/6 + n**2 + 2*n + 3. Let v(t) be the first derivative of d(t). What is v(3)?
-4
Let h(c) = c**2 + 4*c - 2. Let i be h(-5). Let m(n) = -i*n - n - 6*n**3 + 5*n. Let u = 1 + -2. Give m(u).
5
Let y(z) = -z**3 - 6*z**2 - 4*z + 3. Let j = -117 - -113. Give y(j).
-13
Let g(t) = -t**2 + 3*t**2 - 2*t - 5*t - 3*t**2 + 5. What is g(-8)?
-3
Suppose 5*j + 29 = -4*i, 4*j + 17 = 4*i + 1. Let o(m) = -2*m - 5. What is o(j)?
5
Let z(d) = -19*d**2 + 7*d - 6. Let a(v) = 20*v**2 - 8*v + 7. Let s(t) = -6*a(t) - 7*z(t). Suppose -3*r + 522 - 525 = 0. Calculate s(r).
14
Let a(l) = l**3 + l**2 - l - 1. Let n(u) = 5*u**3 + u**2 - 8*u - 5. Let b(r) = 6*a(r) - n(r). What is b(-4)?
7
Suppose -t - 8 = -2*t - 2*l, -t + 4*l - 10 = 0. Let z(c) be the second derivative of c**5/20 - c**4/6 - c**3/2 + c**2/2 - c. Give z(t).
-5
Let v(b) = 16*b**2 - 2*b + 1. Suppose 0 = -p - 1, 4*u - 11 + 9 = -2*p. What is v(u)?
15
Let q(u) = u**2 - u - 1. Let i be (9/(-6))/(2/(48/(-9))). Determine q(i).
11
Let o be 6/5 - (-1)/(-5). Let i(x) be the third derivative of -x**6/40 + x**5/60 + 2*x**2. Calculate i(o).
-2
Suppose 6 = -12*v + 18*v. Let t(g) = 11*g**2 - g + 1. Determine t(v).
11
Let q(r) = -6*r + 20. Let x(p) = 2*p - 7. Suppose 5*g - 2*h + 60 = 6*g, 0 = -2*g + 4*h + 152. Suppose 2*b = 6*b + g. Let c(z) = b*x(z) - 6*q(z). Calculate c(4).
7
Let k(b) = b**3 - 3*b**2 - b - 2. Let r(h) = -h**3 - 2*h**2 - 5. Let z be r(-3). Suppose i - z = -1. Determine k(i).
-5
Let s(h) be the third derivative of h**4/12 - 13*h**3/6 - 50*h**2. Determine s(9).
5
Let l(b) = 7*b**3 + 8*b**2 + b - 1. Let h(d) = -3*d**3 - 4*d**2. Let x(k) = 9*h(k) + 4*l(k). Determine x(3).
-1
Let r(x) = 3*x**3 + 27*x**2 - 23*x - 23. Let c(o) = -4*o**3 - 40*o**2 + 34*o + 34. Let f(m) = -5*c(m) - 7*r(m). Calculate f(10).
1
Let w(y) = -y**2 + y + 13. Let i(j) = -2*j**2 + 3*j + 27. Let v = 10 - 23. Let g(t) = v*w(t) + 6*i(t). Determine g(-5).
-7
Let q(t) = -5*t + 4*t - 2 + 3 + 1 - 3*t**2. Calculate q(-2).
-8
Let o(i) = i**3 - 6*i**2 - 7*i + 4. Let q be o(7). Let n(p) = p - 4. Determine n(q).
0
Suppose -2*h = -3*h - 1. Let j be h - (0 - -2 - 7). Let y be (j/(-2))/(4/10). Let a(o) = -o. Calculate a(y).
5
Let p(x) be the first derivative of -x**4/2 - x**3/3 + x**2 - x + 2. Suppose -4*g + 7*g = 3. Calculate p(g).
-2
Let g(w) = w + 1. Let j(f) = 6*f + 7. Let r(p) = -4*g(p) + j(p). Give r(-5).
-7
Let k(o) = -o - 4. Let w be k(-6). Let j(d) = w*d - 1 + 1 - 2. Calculate j(2).
2
Let n(r) = -r**3 - 5*r**2 + 7*r + 9. Let p be n(-6). Let z(x) = -2*x + 2*x**p - 2*x**2 + 0*x**3 - x**3 - 4. Let i(c) = 2*c + 1. Let v be i(1). Calculate z(v).
-1
Let z(v) = -v**3 - v**2 + 3*v + 3. Let i be z(-2). Let d(y) = -2*y - 5*y - i + 5*y. Suppose 5*s + 8 + 12 = 0. Calculate d(s).
7
Let n(i) = i - 4. Let v be (12/16)/((-1)/(-8)). Suppose 3*c + 9 = v*c. Calculate n(c).
-1
Let j(l) = 3*l**2 + 8*l + 5. Suppose 7*d - 2*d = 10. Let n(p) = p**2 + 4*p + 3. Let g(i) = d*j(i) - 5*n(i). What is g(5)?
0
Let d(j) = j - 5. Let y(z) = z**3 - 10*z**2 - 10*z - 5. Let w be y(11). Let v be 20/w*6/4. Determine d(v).
0
Let r = -4 + 12. Suppose 0 = k + 2*i - r, 5*k - 5*i = -3 - 2. Let l(u) = u - 2. Give l(k).
0
Let y = -10 + 17. Let v = y + -6. Let l(p) = -2*p. Determine l(v).
-2
Let j = -5 + 16/3. Let l(r) be the first derivative of -3 + 0*r**2 + j*r**3 + 10*r. Calculate l(0).
10
Let v(f) = -3 - 4 + 3 + f + 2. Suppose 3*s + 6 + 9 = 0. Give v(s).
-7
Let a(n) be the second derivative of n**4/12 - n**3/6 - n**2 + 44*n. What is a(-3)?
10
Let l(g) be the second derivative of -g**3/6 - g**2/2 - 59*g. Give l(-10).
9
Let m(v) = -4*v + v**3 - 2 + 2*v**3 - 4*v**3 - 6*v**2. Give m(-5).
-7
Suppose -2*p = -4*p. Suppose p = -2*s - 3*h + 8, 0*s - h = 2*s. Let k(y) = y**2. What is k(s)?
4
Let d = 12 + -16. Let j(u) be the first derivative of u**4/4 + 4*u**3/3 - 3*u - 1. What is j(d)?
-3
Let z(w) be the first derivative of -w**3/3 - w**2/2 + 5*w - 5. Calculate z(0).
5
Let g be 3/2*(12 + 2). Let d(w) = w**2 + 4*w - 4. Let f be d(-5). Suppose -g = -4*o - f. Let n(q) = q**3 - 6*q**2 + 4*q. What is n(o)?
-5
Let h(l) = -2*l + 8 + 6*l - 9*l - l + l**2. Determine h(6).
8
Let v(i) = -8 - 2*i + 3*i - 3 + 9 - i**2. Suppose 5*p + 30 = -0*p. Let a be (-4)/p - (-4)/(-6). Give v(a).
-2
Suppose -4*w + 10 = w. Let d(n) be the first derivative of 10*n + 1 - 1/2*n**w. Determine d(0).
10
Let t(v) be the second derivative of -v**5/20 - 5*v**4/12 - v**3/3 - v**2 - 2*v. Let r = -5 - -10. Suppose -3*q - 3*p - 18 = -p, -3*q + r*p + 3 = 0. Give t(q).
-10
Let h(c) be the second derivative of -c**5/20 - 7*c**4/12 + c**3/3 + 9*c**2/2 + 2*c. Determine h(-7).
-5
Let s(c) be the second derivative of c**3/6 + 7*c**2/2 + 6*c. Give s(0).
7
Let m(g) be the first derivative of g**3/3 - g**2 - 5*g + 1. Let u be m(4). Let i(t) = -2*t + 3. Calculate i(u).
-3
Let x be 2/(-6)*(-44 + -1). Let o(i) = 6 - x + 6*i + 2 + i**2. Give o(-6).
-7
Let b(c) = c**2 + 4. Let v(i) = 1. Let x(o) = -2*b(o) + 10*v(o). Calculate x(2).
-6
Let s(c) be the first derivative of c**4/4 + 2*c**3/3 - c - 14. Determine s(1).
2
Let x(u) = -u* | {
"pile_set_name": "DM Mathematics"
} |
0 - 10 + 6*r - r. Determine c(p(u)).
-25*u**2
Let g(i) = -i**2. Let m(d) = 2*d + 7. Let k = 2 - 9. Let v(b) = b + 4. Let z(f) = k*v(f) + 4*m(f). What is g(z(x))?
-x**2
Let k(t) = 2*t**2 - 8*t - 8. Let m(a) = -a**2 + 5*a + 5. Let q(s) = -5*k(s) - 8*m(s). Let y(x) = 13*x. Determine q(y(c)).
-338*c**2
Let t(c) = 3*c**2. Let v be (-3)/(-2)*(-12)/(-9). Let k(d) be the third derivative of -v*d**2 + 1/60*d**5 + 0 + 0*d**4 + 0*d**3 + 0*d. What is k(t(q))?
9*q**4
Let p(u) be the first derivative of -5*u**3/3 - 2. Let d(s) be the third derivative of -s**5/30 + 2*s**2. Give p(d(w)).
-20*w**4
Let g(z) = 9*z. Let l(b) be the second derivative of -b**3/6 - 10*b. Give l(g(d)).
-9*d
Let i(o) = 3*o**2. Let y(z) = 3*z**2 - 11*z**2 - z**2. Calculate y(i(d)).
-81*d**4
Let r(q) = 4*q**2. Let w(d) = -5*d + 12*d - 5*d + d. Calculate r(w(k)).
36*k**2
Let x(c) = 3*c**2 - 3*c + 3. Let f(s) = s - 1. Let k(z) = 3*f(z) + x(z). Let b(i) = 2*i. Give b(k(g)).
6*g**2
Let n(c) = -c - 1. Let u(h) = -h - 3*h - 1 + 3*h - 1. Let o(p) = 2*n(p) - u(p). Let q(f) = -f**2. What is q(o(k))?
-k**2
Let m(u) = 3*u**2 - 6*u**2 + 0*u**2. Let y(c) = 2*c - 44 + 44. Calculate y(m(t)).
-6*t**2
Let t(l) = -9*l**2. Let f(h) = 6*h**2 - 8*h**2 - 2*h**2 + 2*h**2. What is t(f(v))?
-36*v**4
Let q(r) = r**2. Let h(s) = -33*s - 5. Let c(l) = -16*l - 2. Let x(u) = -5*c(u) + 2*h(u). Calculate x(q(m)).
14*m**2
Let z(h) = 5*h. Let b(w) = -2*w**2 + 8*w**2 - 7*w**2. Determine b(z(o)).
-25*o**2
Let x(m) = -13*m**2 + 5*m - 5. Let i(k) = -32*k**2 + 12*k - 12. Let f(q) = -5*i(q) + 12*x(q). Let l(g) = g. What is f(l(w))?
4*w**2
Let v(m) = -2*m. Let g(n) = n**2 - 15*n**2 - 5*n**2. Give v(g(t)).
38*t**2
Let c be 3/(-3 - 9/(-2)). Let h(r) = -5*r**2 + 4*r**2 + c*r**2. Let t(o) = 2*o. Calculate t(h(f)).
2*f**2
Let n(o) = 3*o + 11. Let a(z) = z + 4. Let h(j) = -11*a(j) + 4*n(j). Let d(t) be the first derivative of -t**3 - 15. Calculate h(d(p)).
-3*p**2
Let g(d) = 24*d**2 - 2*d. Let t(y) = 7*y**2. Give g(t(k)).
1176*k**4 - 14*k**2
Let z(o) = -95*o**2. Let v(a) = -34*a**2. Calculate z(v(w)).
-109820*w**4
Let h(u) = -327*u. Let j(m) = -m. Determine h(j(n)).
327*n
Let r(k) = 0*k + 0*k + 3*k. Suppose 2*p + 42 = 5*o, 5*p = -0*o - 3*o + 19. Let l(d) = -8*d + o*d - d**2. Determine r(l(b)).
-3*b**2
Let d(k) = -2712*k**2. Let n(f) = -8*f. What is d(n(r))?
-173568*r**2
Let g(m) = 2*m**2. Let v(a) = -1540*a**2. Give v(g(y)).
-6160*y**4
Let c(k) = k. Suppose 0 = -2*o - 3*o + 35. Let r = o - 5. Let h(d) = r + 2 - 3*d - 4. What is c(h(i))?
-3*i
Let f(y) = -y. Let s(m) = 7*m**2 - 2*m. Let z(o) = 85*o**2 - 25*o. Let l(k) = -25*s(k) + 2*z(k). Determine l(f(a)).
-5*a**2
Let k(c) = 412*c**2. Let j(p) = -p**2. Calculate k(j(y)).
412*y**4
Let l(c) = -3*c**2. Let h(o) = -2*o**2 + 35*o. Give h(l(i)).
-18*i**4 - 105*i**2
Let u(q) = -14*q**2 + 5. Let j(c) = c**2. What is u(j(b))?
-14*b**4 + 5
Let m(z) be the second derivative of 55*z**4/12 + 11*z. Let r(b) = 2*b**2. What is r(m(q))?
6050*q**4
Let a(f) = -5*f - 9. Let x(s) = 2*s + 4. Let r(w) = 4*a(w) + 7*x(w). Let b(z) = z + 1. Let i(v) = -8*b(v) - r(v). Let y(m) = -3*m**2. Determine y(i(n)).
-12*n**2
Let q(f) = 3*f. Let m(a) = -2*a**2 - 1. Let i(x) = -x**2 - 1. Let t(p) = p**3 + 4*p**2 - 2*p - 9. Let h be t(-4). Let d(u) = h*i(u) + m(u). Calculate q(d(o)).
-3*o**2
Let j(s) = -57*s - 33. Let k(w) = 7*w + 4. Let h = 19 - 52. Let v(o) = h*k(o) - 4*j(o). Let q(n) be the second derivative of -n**3/6 - n. Calculate v(q(y)).
3*y
Let g(a) = -a**2 + 0*a**2 + 2*a**2. Let s = 11 - 8. Let t(w) = -w + 3. Let y(m) = 2*m - 5. Let r(u) = s*y(u) + 5*t(u). What is g(r(p))?
p**2
Let o(f) = -f**2. Suppose -g + 3*p - 8 = 11, -2*g = 2*p + 14. Let w(r) = -r - 8. Let l be w(g). Let a(y) = 3*y**2 - 2*y**l + y**2. Give o(a(c)).
-4*c**4
Let m(b) = b. Let q(s) = 2041*s**2. Determine q(m(p)).
2041*p**2
Let d(t) = 2*t**2. Let k(i) = -9*i - 5*i + 16*i. Give k(d(g)).
4*g**2
Suppose 0 = i - 3*i - c - 4, 4*i = 5*c + 20. Let o be 7/(-28) - (-3)/12. Let v(l) = o*l - 2*l + i*l. Let k(j) = 3*j**2. Give k(v(x)).
12*x**2
Let t(u) = -5*u**2. Let a(q) = -449*q. Give a(t(p)).
2245*p**2
Let m(a) be the first derivative of a**2/2 + 7. Let h(z) be the third derivative of -z**4/8 + z**2. Calculate m(h(t)).
-3*t
Let b(s) = 1 - 1 + 6*s - s. Let q(o) = -2*o**2. Calculate b(q(r)).
-10*r**2
Let p(u) = 984*u. Let k(x) = 3*x. What is k(p(o))?
2952*o
Let w(m) = 2 + 1 - 3 - 9*m. Let l(v) = -v**2. Calculate l(w(r)).
-81*r**2
Let j(r) be the first derivative of r**2/2 + 1. Let a(q) = 5*q. What is a(j(t))?
5*t
Let d(w) = -2*w. Let b(r) = 15*r - 25*r - 10*r - 21*r. Calculate b(d(q)).
82*q
Let d(m) = 2*m**2. Let n(w) = 4*w - 3*w - 3*w + 11*w. Give n(d(g)).
18*g**2
Let a(u) = -2*u**2. Let d(n) = 44*n**2 + 55*n. Let h(z) = -z**2 - z. Let i(j) = -2*d(j) - 110*h(j). Calculate i(a(q)).
88*q**4
Suppose 8*s - 3*s = 0. Let j(d) = s*d - d + d**2 + d. Let f(y) = -y**2. What is j(f(q))?
q**4
Let c(z) = 331*z. Let r(t) = -5*t**2. Determine r(c(q)).
-547805*q**2
Let v(j) be the second derivative of -2*j**3 + 14*j. Let i(g) = -2*g**2. Calculate i(v(o)).
-288*o**2
Let v(y) = 1231*y**2. Let u(r) = r**2. What is v(u(f))?
1231*f**4
Let l(j) = 4*j + 3. Let m = -25 - -17. Let o(y) = -11*y - 8. Let p(g) = m*l(g) - 3*o(g). Let c(w) = -5*w**2. Give p(c(d)).
-5*d**2
Let q(t) = -7*t**2 + 5*t + 5. Let g(r) = 4*r**2 - 3*r - 3. Let a(x) = -5*g(x) - 3*q(x). Let y(s) be the third derivative of s**5/30 + 3*s**2. Determine y(a(v)).
2*v**4
Let s(g) = -4*g**2 - 3*g. Let x(r) = -3*r**2 - 2*r. Let y(l) = 2*s(l) - 3*x(l). Let m(a) be the third derivative of a**5/12 + 7*a**2. Give y(m(w)).
25*w**4
Let m(w) = w. Let y(x) = 46*x**2 - 97*x**2 + 48*x**2. What is y(m(c))?
-3*c**2
Let d(p) = -p**2. Let f(l) = -32*l**2 - 10*l + 10. Let z(y) = y**2 + y - 1. Let h(o) = -f(o) - 10*z(o). What is h(d(i))?
22*i**4
Let g(u) = 2*u**2. Let v(x) be the first derivative of -x**3/3 + 2*x**2 - x + 2. Let q be v(2). Let j(w) = 2*w + q*w - 7*w. What is g(j(a))?
8*a**2
Let a(w) = 5 - 3 + 2*w - 3*w. Let j(g) = g - 3. Let h be (6/4)/((-4)/(-8)). Let k(n) = h*a(n) + 2*j(n). Let t(o) = o. Calculate k(t(q)).
-q
Let c(u) = -2*u**2. Let j(d) be the third derivative of d**4/8 - 4*d**2. Determine j(c(i)).
-6*i**2
Let h(z) = 2*z. Let g(j) = -857*j. Determine h(g(m)).
-1714*m
Let z(r) = 2*r**2. Let x(h) = 1779*h. Give x(z(k)).
3558*k**2
Let u(p) = -p**2 + 6. Let n(k) = 18*k**2. Determine n(u(w)).
18*w**4 - 216*w**2 + 648
Let c(i) = -i. Let r(u) = -5*u. Let y(z) = -5*z. Let n(q) = 3*r(q) - 2*y(q). Give c(n(o)).
5*o
Let w(v) = 6*v**2 - 7*v**2 + 5*v**2. Let h(z) = 4*z. Calculate w(h(x)).
64*x**2
Let r(q) = -5*q**2. Let p(s) be the first derivative of 4*s**3/3 - 2. Give p(r(g)).
100*g**4
Let x(d) be the first derivative of 2*d**3/3 + 7. Let z(s) = -s - 3*s + 3*s. Calculate x(z(u)).
2*u**2
Let r(d) be the third derivative of -d**7/720 + d**5/30 + d**2. Let w(t) be the third derivative of r(t). Let x(k) = 2*k**2. Determine w(x(i)).
-14*i**2
Let x(u) = 44*u**2. Let s(r) = -2006 - r - r + 2006. Give s(x(w)).
-88*w**2
Let l(f) = f**2 + f. Let m(u) = -4*u**2 - 2*u. Let h(d) = -2*l(d) - m(d). Let p(n) = -2*n + 3. What is h(p(i))?
8*i**2 - 24*i + 18
Let t(m) = 3*m**2. Let c(z) = -101*z**2. Calculate c(t(l)).
-909*l**4
Let m(f) = 2*f - 28. Let b(l) = -17*l**2. Determine b(m(s)).
-68*s**2 + 1904*s - 13328
Let c(h) = 0 + 7*h - 2*h - 17*h**2 + 5. Let d(n) = -8*n**2 + 2*n + 2. Let p(s) = 2*c(s) - 5*d(s). Let m(r) = 2*r. Determine p(m(j)).
24*j**2
Let l(i) = -22*i - 2*i - 2*i. Let r(w) = 5*w + 18 + 22 - 40. Let k(h) = 3*l(h) + 16*r(h). Let z(c) = -2*c**2. Determine k(z(s)).
-4*s**2
Let o(x) = 2*x**2. Let u(w) = 3*w - 6. Suppose -2*a + 12 = 4*l, a - 2*l = 5*a. Let t be (3/6)/(1/a). Let g(v) = v - 1. Let d(j) = t*u(j) + 6*g(j). Give d(o(h)).
6*h**2
Let c(m) = 2*m**2 - 2*m**2 + 2*m**2. Let n(o) = -18 + 18 - 2*o**2. What is n(c(p))?
-8*p**4
Let r(v) = 13*v - 13*v + v**2. Let n(b) = 2*b**2. Let z(f) = 4*n(f) - 9*r(f). Let t(d) be the third derivative of -d**4/8 - d**2. Give z(t(j)).
-9*j**2
Let m(y) = y**2 - 5*y**2 + 5*y**2. Let p(u) be the first derivative of 4*u**3/3 + 7. Determine p(m(z)).
4*z**4
Let h(c) = 5*c**2 + 6. Let o(j) = -4*j**2 - 5. Let u(a) = -5*h(a) - 6*o(a). Let y(m) = 34 - 61 + 27 - m. Determine y(u(g)).
g**2
Let h(m) = 8*m**2 | {
"pile_set_name": "DM Mathematics"
} |
445)/5*(-5)/7*819/(-585)?
-89
Calculate ((1/(-4))/((-10)/(-160)))/(-4)*(-68)/4.
-17
Calculate (-10)/(10080/(-462))*(-16)/(-2).
11/3
Evaluate ((-21)/14)/((-6)/(3*(-144)/(-243))).
4/9
Calculate (-1974)/(-35)*((-140)/(-14))/(-150)*150/(-6).
94
Calculate 138/50*2*104415/62649.
46/5
Evaluate (14/(-3)*2/(-36))/(13538/11604).
2/9
Evaluate (-8)/(-114)*3*(-1)/4*640/960.
-2/57
Calculate ((-344)/(-3440))/(14/10)*(-5)/(-15)*1778.
127/3
Calculate ((-88)/55)/(91/(627900/120)).
-92
What is (((-1941)/647)/(7/(-4)))/(45/(-42))?
-8/5
What is -12*(-2)/(-8)*3/((-594)/6)?
1/11
Calculate (-108)/(-1)*76/(-228)*(-11)/(-11).
-36
What is (190/(-76))/((-385)/(-5082))?
-33
Calculate ((-12)/(-3))/((-2)/40*(-43)/(1032/240)).
8
Evaluate (-2)/10*-30*(2/12)/((-2)/16).
-8
What is (-19040)/(-357)*(-1)/(-1)*10/(-50)?
-32/3
Calculate (12/(-40))/((-702)/(-52)).
-1/45
What is the value of (20/(-86))/(9865/3946)?
-4/43
Evaluate (-12)/8*44/28*132/726.
-3/7
What is the value of (-20)/(-12)*138/(-243455)*-29?
2/73
What is (-157320)/(-6840)*1/5?
23/5
What is the value of 42742/(-5964)*27/(-3225)?
3/50
What is the value of ((-658)/(-4794))/((-3)/(-9))*1?
7/17
((-135)/36)/((-595)/1428)
9
Evaluate (-945)/(12705/121)*(-24)/2.
108
What is the value of (-704)/(-66)*570/912*144/(-10)?
-96
Calculate (238/(-5))/(4300/(-2150)*2/10).
119
What is the value of 125*(-3)/(-27)*(-771)/(-1285)*1/1?
25/3
What is (-455*(-98)/(-17150))/((-4)/(-5))?
-13/4
Calculate 10*(-80)/64*(-168)/35*(-3)/3.
-60
((-23335)/(-4308))/((-10)/(-4))
13/6
(-11408)/(-4278)*39/4
26
What is (116/(-8120))/((1170/(-42))/13)?
1/150
What is the value of ((-1)/(-13))/(20*4/(-80))?
-1/13
2016/(-84)*(-9)/(-6)*(-10)/(-120)*-38
114
What is 114*48/(-288)*-1?
19
Evaluate ((-450)/(-360))/(36/(-720)).
-25
What is the value of (-167)/((-343185)/(-548))*(-2)/((-16)/(-3))?
1/10
What is the value of (-9)/((510/(-935))/((-4)/(-44)))?
3/2
(8556/(-1488))/(2/(-8)*(-90)/18)
-23/5
What is the value of (11/(-110))/(((-825)/(-25))/99)?
-3/10
Calculate ((-1143)/17145)/(2/(-1020)).
34
What is ((-1011)/32015)/(36/(-76))?
1/15
What is (-36)/18*3/(-1)*(-817)/(-114)?
43
Evaluate (39/(-91))/((-135)/1260).
4
(75/((-9450)/(-28)))/((-5)/270)
-12
((-35)/21)/((-133)/(-228)*30/483)
-46
What is ((-8)/(-6))/(752180/650925)?
15/13
Calculate -6*(-15)/(-27)*(-15)/50*34/(-17).
-2
Evaluate 68/6*(-8784)/49776.
-2
Calculate ((-1)/(-1))/((-19)/(-2)*402/3819).
1
Evaluate 219/(-4)*31/93*(-248)/(4898/(-79)).
-73
Evaluate ((-16)/(-6))/(37584/1832220).
130
What is ((1/(10/(-195)))/((-864)/(-128)))/(-2)?
13/9
(-2)/4*66/3*1970/(-2167)
10
Calculate ((-276)/414)/(10/(30/(-39))).
2/39
What is the value of ((-12)/(-27))/(((-102)/(-85))/(261/4495))?
2/93
Evaluate 2/(135/74970*-17*14/(-12)*-1).
-56
What is ((-1)/(-15))/(92/230)*(-12)/22?
-1/11
What is ((-83)/(51875/50)*(-500)/16)/((-5)/(-88))?
44
Evaluate 14*(66/(-4))/((26691/164)/31).
-44
Evaluate -28*((5/(-12))/((-840)/2688))/(42/27).
-24
Evaluate (16/168)/((168/(-14))/144)*(-392)/7.
64
(124644/(-47))/78*-2
68
What is (38/(-1)*1)/(-31*184/5704)?
38
Calculate (30/26*120/(-100))/((-66)/(-176)).
-48/13
1/((-10)/3)*54055/(-10242)*(-2)/1
-19/6
What is the value of (377/(-104))/((-27)/(-216)*-5)?
29/5
(((-12)/81)/((-210)/108)*-3*1)/2
-4/35
What is (24/96*13/(91/(-8)))/((-11)/(-33))?
-6/7
Evaluate (-20200)/2020*-1*1/(-10)*5/85.
-1/17
-5*(-121)/(-220)*(-40)/220*-84
-42
What is the value of (((-120)/(-2))/5)/(16/448*42)?
8
What is ((-3)/12)/((16/(-480))/((-20)/75*9))?
-18
What is (-238560)/(-13419)*(-270)/50?
-96
(-6)/63*(-34)/(5984/(-3432))
-13/7
What is (9040/(-42488))/((-6)/705)?
25
Calculate 2*((-76)/(-190))/(2/(-10)).
-4
(-220)/(-275)*155/(-1116)
-1/9
What is the value of ((-9)/(279/31))/(((-1)/7)/(96/(-28)))?
-24
Calculate ((-426)/(-12))/(((-4)/18)/(((-1064)/126)/19)).
71
What is the value of -4*33/(-440)*(-8)/336*10?
-1/14
(183*121/155001)/(2/28*43)
2/43
What is (-1*(-1)/(-3))/1*(-283)/((-56883)/603)?
-1
What is 65/(-39)*(((-100)/(-20))/(-75))/((-2)/(-3))?
1/6
(13*(-511)/3796)/((-14)/240)
30
Calculate ((-8)/((-60)/((-40)/4)))/((-10)/420).
56
Calculate (2/(-5))/(-1001*(-270)/(-8775)).
1/77
(-84)/(-2)*(-247)/(60268/(-366))
63
What is (2/16*1)/(((-4743)/(-102))/93)?
1/4
What is the value of (16240/(-245))/29*336/(-8)?
96
What is the value of (2/(-2))/(3*30/13050*10)?
-29/2
Evaluate ((-60)/4)/((3/6)/(255/(-6120))).
5/4
What is (-45)/(-10)*3/18*-20*286/(-165)?
26
((-252)/(-1584))/(-7)*(-77)/4
7/16
What is ((-22)/(-45))/(86284/(-194139))?
-11/10
Evaluate 6/36*-23*3144/524.
-23
What is the value of (18/(-18))/(1/178*-5)*2325/(-930)?
-89
What is (62/24*(-8397)/2799)/((1/4)/1)?
-31
What is the value of (-1812)/(-6342)*(-3955)/(-4)*(-2)/5?
-113
Evaluate (320/45)/(13*(-78)/18252).
-128
Calculate (-6)/165*-22*-15*(-3)/2.
18
Calculate (((-2)/3)/(-1))/((-5384)/8076)*0.
0
(-1)/(-1)*(4704/(-84))/44128*-8
2/197
Calculate 8*(3/4)/((-177)/649).
-22
Evaluate 7860/20960*256/(-76).
-24/19
What is (-6)/(-4)*(-1484)/62328?
-1/28
What is (-60)/(-225)*42*99/(-924)?
-6/5
Calculate ((-5)/((-350)/16))/(11/(22/(-2)))*10.
-16/7
What is the value of (((-1)/(-7))/(36/(-84)))/(1900/228)?
-1/25
Calculate 3/(-2)*((-198)/(-135))/((-56)/(-280)).
-11
Calculate (((-8525)/(-44))/155)/(1*255/(-24)).
-2/17
Evaluate 28800/640*1*8/12.
30
Evaluate ((-41)/984*-18)/((-9)/672*-4).
14
Calculate ((-79)/6399*-144)/16.
1/9
25*53/(-31800)*-1896
79
Calculate ((2/6)/((-20)/(-12)))/((-12)/(-21660)*-19).
-19
(-6)/376*-47*(-22)/9*-6
11
Evaluate (-1*(-7)/(-378)*-18)/((-236)/24).
-2/59
7/(-420)*-435*4*-1
-29
Evaluate (919/12866)/((-1)/(-518)).
37
What is ((-266)/196)/(1197/(-126))?
1/7
What is 9/20*-280*265/139125?
-6/25
Calculate (2340/(-1560))/(1*(-564)/8).
1/47
What is (41/(-8610)*8)/((-12)/(-18))?
-2/35
What is (-970)/97*-3*4/660?
2/11
Calculate (2/6)/(1417/(-187044)).
-44
What is ((-3016)/(-29))/7384*-2?
-2/71
What is (30/(-282))/(2/(-3)*(-180)/(-16))?
2/141
What is ((-8)/64)/(32/48*42)?
-1/224
Evaluate ((-3)/11)/((-2431)/(-26741)).
-3
What is the value of (((-231)/(62370/(-240)))/(1/(-1)))/(-2)?
4/9
Calculate (-60)/(-8)*145/((-22475)/186).
-9
What is 6/9*9*(-9200)/1725?
-32
What is the value of (22*(-33)/726)/(13/4)?
-4/13
Calculate (-2)/4*3/282*(240/(-4))/15.
1/47
What is (216/117)/(16/2392*23)?
12
What is ((-5)/(450/(-24)))/(-2*(-7740)/300)?
2/387
Calculate (2925/(-108))/(-325)*33/2.
11/8
Calculate 183/(-3050)*125*(4/(-18))/((-12)/(-63)).
35/4
Evaluate (-25*13/(-650))/((306/(-17))/4392).
-122
Evaluate ((-69)/184)/(((-75924)/(-48))/(-37)).
1/114
Calculate (182*24/3900)/(-3*10/(-75)).
14/5
What is -18*(6/(-30)*30/16)/(2/8)?
27
What is the value of ((-5)/(5/(-4)))/(20*(-12636)/(-520))?
2/243
(-58)/(-1)*(-7)/((-588)/42)*(-1)/1
-29
104/(-110*(-16)/(-40))
-26/11
Evaluate (11/(-616)*24)/(((-9)/3)/(3/5)).
3/35
What is -1*20*183/1098*-1*2*-15?
-100
Evaluate (-872)/3270*(-4500)/40.
30
Evaluate (220/1584*18)/(1770/24).
2/59
What is 3597/749375*60/18?
2/125
What is the value of 7*-1*(-621)/6*1012/(-15939)?
-46
What is the value of ((1031264/(-804))/481)/((-4)/(-102))?
-68
What is the value of ((6/(-8))/((-2)/(-8)))/(53/(-424)*-8)?
-3
Evaluate (-184)/24840*-2550*(-18)/4.
-85
(-2)/((-3)/3)*(-66080)/2240
-59
What is the value of (2/9)/((-26320)/(-12673080))?
107
Calculate 616/(-72)*(-1712)/4708.
28/9
What is the value of (43371/(-9638))/(18/104)?
-26
What is the value of (150/(-2125))/((-36)/(-12))?
-2/85
What is the value of (271/((-4607)/935))/(2*5/(-12))?
66
Calculate (39*(-86)/(-41925))/((-4)/(-30))*90.
54
What is -1*((-4176)/(-216))/(-2*(-3)/(-9))?
29
Calculate (3/90*-5)/(22/(3080/1085)).
-2/93
What is ((-168)/(-10))/(686/(-1372)*8/(-10))?
42
What is the value of 559209/(-479322)*12/(-7)*2/(-6)*-216?
144
Calculate 120/32*22/24*2.
55/8
Evaluate ((-3445)/212)/((125/(-10))/(-5)*2/(-24)).
78
What is (-128)/88*(903/(-86))/21?
8/11
What is the value of (6/8*(-26096)/(-4893))/(1*-31)?
-4/31
What is the value of (-2*2)/((-11)/3*(-6)/31900*50)?
-116
Calculate (14/4)/(12845/(-1468)).
-2/5
Evaluate (-4770)/106*12/160*8.
-27
((-36)/(-28))/((-1533)/(-14308))*9/(-4)
-27
Calculate 28/80*2/(((-315)/14)/(-45)).
7/5
Calculate (-2*3)/(10/(((-24)/10)/(64/320))).
36/5
Evaluate 3240/180*(2/(-9))/(6/9).
-6
What is the value of (-96)/(-420)*(-960)/1664*13?
-12/7
What is the value of 17/(-34)*120/(-80)*-188?
-141
What is | {
"pile_set_name": "DM Mathematics"
} |
**2
Find the second derivative of -5*c**5 + 4259*c**2 - 32119*c.
-100*c**3 + 8518
Find the second derivative of -2264899*a**3*d + 30*a*d - 7803*a + 1 wrt a.
-13589394*a*d
What is the first derivative of -87387*q**3*v - 89648*q**3 wrt v?
-87387*q**3
Find the third derivative of 18856*l**4 - 2*l**2 + 15595 wrt l.
452544*l
What is the first derivative of 7026*m**4 + 2*m + 11712 wrt m?
28104*m**3 + 2
Find the second derivative of 94942*a*j**5 - 2*a*j**4 + 699*a*j + 71*a wrt j.
1898840*a*j**3 - 24*a*j**2
Find the second derivative of 2*d*h*v**2 - 51*d*h*v - 150*d*h - 11*d*v**2 - h*v**2 + 1701*v**2 wrt v.
4*d*h - 22*d - 2*h + 3402
What is the third derivative of -76*h**6 - 92*h**4 - 10*h**2 + 4*h - 524 wrt h?
-9120*h**3 - 2208*h
What is the first derivative of -5592*b**4 + 2*b**3 - 6*b - 472819?
-22368*b**3 + 6*b**2 - 6
What is the second derivative of -8*j*w**2 - 1398*j*w + 13*j - 92268*w**2 - w + 1 wrt w?
-16*j - 184536
Find the third derivative of 672*s**3*x**5 - 189*s**3 - 516*s*x**5 - 4782*s*x**2 wrt x.
40320*s**3*x**2 - 30960*s*x**2
What is the third derivative of 2*f*h**3 - 3*f - h**5 - 4583*h**3 - 120*h**2 wrt h?
12*f - 60*h**2 - 27498
What is the third derivative of -1377*x**5 - 9*x**4 + 46*x**2 + 2361 wrt x?
-82620*x**2 - 216*x
What is the third derivative of 436463*o**3 - 5*o**2 - 308*o + 35 wrt o?
2618778
Find the first derivative of 179407*c*m + 751183*c + 2 wrt m.
179407*c
Find the third derivative of -51*p*r*y**3 - p*r*y**2 - 2*p*y**3 + 2*p*y**2 + 2*p + 137*r*y**3 - 24*r - 16*y**2 + 4*y wrt y.
-306*p*r - 12*p + 822*r
What is the second derivative of -x**4 + 140927*x**2 + 245847*x wrt x?
-12*x**2 + 281854
Find the first derivative of c**2*u*v**3 + 698*c**2*v**2 + 6221*c*u*v**3 - 6*c*v**3 wrt u.
c**2*v**3 + 6221*c*v**3
What is the first derivative of -2*a*f*w - 33*a*f - 41*a*w**2 - 19*f*w - 33*f + w + 11 wrt w?
-2*a*f - 82*a*w - 19*f + 1
Find the third derivative of 2*i**6 - 29*i**5 + 106*i**3 - 10*i**2 + 698*i - 2 wrt i.
240*i**3 - 1740*i**2 + 636
What is the third derivative of 5353439*t**3 - 138*t**2 + 4*t + 94?
32120634
What is the second derivative of -600651*b**5 - 149159*b wrt b?
-12013020*b**3
Differentiate -132*b*n - 144519*b + n**2 + 41*n - 1 wrt n.
-132*b + 2*n + 41
What is the second derivative of -358743*a**4 - 58638*a + 2 wrt a?
-4304916*a**2
What is the first derivative of 406871*i**3 + 133899 wrt i?
1220613*i**2
What is the third derivative of 2*c*q**5 - 44273*c*q**3 - 1997*c*q**2 - 36*c*q wrt q?
120*c*q**2 - 265638*c
What is the second derivative of -150*t**5 + 130*t**4 - 134460*t wrt t?
-3000*t**3 + 1560*t**2
What is the second derivative of 2747*o**5 - 9*o**4 + 15*o**2 - 664307*o + 2?
54940*o**3 - 108*o**2 + 30
What is the third derivative of 5*d**2*k**4 + 38429*d**2*k**2 + 164*d*k**3 + 2*k**4 + 2*k**3 wrt k?
120*d**2*k + 984*d + 48*k + 12
What is the third derivative of 197*d**6 + 3*d**4 - 13*d**3 - 37490*d**2 wrt d?
23640*d**3 + 72*d - 78
What is the derivative of -8*n*s*x*y + n*s*y - 130*n*x*y - 32*n*y + s*x*y - 1653*s*y + 3*y wrt s?
-8*n*x*y + n*y + x*y - 1653*y
What is the third derivative of 6235*j**2*w**3 + j**2*w + 2*j**2 + 6763*j*w**2 - 154*w**5 - 2*w**2 - w wrt w?
37410*j**2 - 9240*w**2
Differentiate -263*h*m*z + 2*h*m + 303*h*r*z - h - 362*m*r*z + 4*z - 4 with respect to r.
303*h*z - 362*m*z
What is the second derivative of -9753*j**2*m**2*y - 2*j**2*y - j*y - 82*j - 6*m**2*y + 42*m**2 - m wrt j?
-19506*m**2*y - 4*y
Find the second derivative of -2*k**2*x**4 + 12940*k**2*x**2 + 58*k**2*x - 6*k**2 + 2*k + 25*x wrt x.
-24*k**2*x**2 + 25880*k**2
What is the first derivative of 691*a*k**3 + 65*a*k + a - k**4 - 1555052 wrt k?
2073*a*k**2 + 65*a - 4*k**3
What is the second derivative of 35397*x**4 - 125*x - 11 wrt x?
424764*x**2
Find the third derivative of 769753*f**3 - 561290*f**2.
4618518
Find the second derivative of 57727*x**3 + 2*x - 9524 wrt x.
346362*x
Differentiate d*h**2*n + 2*d*h**2*u + 2*d*h**2 + 26*d*h - d - 43*h**2*n*u + 32*h*n*u - h*n with respect to u.
2*d*h**2 - 43*h**2*n + 32*h*n
Find the third derivative of 15*i**5 - 39*i**4*r**2 + 3*i**3*r - i**2*r + 33090*r**2 - 1 wrt i.
900*i**2 - 936*i*r**2 + 18*r
Find the first derivative of -882455*r**2 - 751191 wrt r.
-1764910*r
Differentiate 1133785*o**2 - 793349.
2267570*o
Find the first derivative of 61597*b**2 + 7398.
123194*b
Find the third derivative of -5282710*b**3 + 10474*b**2 + 3*b - 23 wrt b.
-31696260
Find the third derivative of 88*m**4 - 6101*m**3 + 39*m**2 + 11313 wrt m.
2112*m - 36606
What is the third derivative of -10*b*o*q**3*w + 11*b*o*q**3 - 2*b*o*q**2*w - 14*b*o*w + 2*b*q**3*w + 3*b*q**2*w - 781*o*q*w wrt q?
-60*b*o*w + 66*b*o + 12*b*w
Differentiate -2*b**2*c**2 + 259*b**2*l + 41*b*c**2*l + 1209*b*c + 2*b - 6*c**2*l + 7*c wrt l.
259*b**2 + 41*b*c**2 - 6*c**2
Differentiate 2*c**2*r - 6*c**2 + 104*c*r + 3804*c - 387*r + 7 wrt r.
2*c**2 + 104*c - 387
What is the third derivative of -31205*m**3*n**2*t**2 - m**3*n*t**3 + 2*m**2*t**3 - 7*m**2*t**2 + 10*m*n**2*t - 70*n**2 wrt m?
-187230*n**2*t**2 - 6*n*t**3
What is the third derivative of -63*o**6 + 467*o**3 + 29*o**2 + 428*o wrt o?
-7560*o**3 + 2802
Find the third derivative of 73863*k**2*o**3 + k**2*o**2 - k**2*o + 5*k*o**4 - k*o**3 + 978*o**2 - 4 wrt o.
443178*k**2 + 120*k*o - 6*k
What is the third derivative of -12*p**5*z**2 - 1072*p**5 + 20*p**2*z**2 - 4*p**2 - 2*p*z wrt p?
-720*p**2*z**2 - 64320*p**2
Find the third derivative of 5099058*g**6*i**2 + 61*g**2*i**2 - g**2 - 22*g*i**2 - 2*g*i + 6*i**2 wrt g.
611886960*g**3*i**2
What is the second derivative of -7*x**4 - x**3 - 30*x**2 - 299046*x?
-84*x**2 - 6*x - 60
What is the third derivative of -4*i**6*s**2 + 10947*i**3*s**3 - 1823*i**2*s**3 + 5*s**3 wrt i?
-480*i**3*s**2 + 65682*s**3
What is the first derivative of 3*n*y**4 + 93073*n + 2*y**4 - 5010*y**2 wrt y?
12*n*y**3 + 8*y**3 - 10020*y
Find the second derivative of 2986*x**5 - 13*x**4 + 2*x**2 + 1437112*x wrt x.
59720*x**3 - 156*x**2 + 4
Find the third derivative of -19079*x**3 + 7956*x**2 - 2*x - 1 wrt x.
-114474
What is the second derivative of -780356*j**2 - 9*j - 9517 wrt j?
-1560712
What is the third derivative of -122137*n**3*s*w**2 + n**2*s*w**2 - 7*n**2*s*w + 4*n**2*w**2 - 27*n*s + 5*n wrt n?
-732822*s*w**2
Find the second derivative of 31*a*l**2*q**3*y - 1863*a*l**2*q**2*y**2 + 2*a*l + a*q**2*y - 147*q**3 - 16*q*y**2 wrt l.
62*a*q**3*y - 3726*a*q**2*y**2
Find the second derivative of 82404*r**3 - 2*r**2 - 313449*r.
494424*r - 4
Find the second derivative of 5109*m**5 - 2*m**4 + m**3 + 133851*m.
102180*m**3 - 24*m**2 + 6*m
Find the second derivative of 228133*i**2 + 305*i + 448.
456266
Find the second derivative of -615554*d**2 - 76106*d.
-1231108
What is the second derivative of -83*d*m**2 + d*m + 618*d - 37*m**3 - 6*m wrt m?
-166*d - 222*m
What is the second derivative of -11*k**2*q**3 - 1200*k**2*q + 3*k*q**3 + 9*k*q + 68*k - 2*q**3 wrt k?
-22*q**3 - 2400*q
What is the second derivative of 950*z**3 - 69*z**2 - 161423*z + 3 wrt z?
5700*z - 138
What is the derivative of 203304*n**2 + 321250?
406608*n
What is the third derivative of -127025*j**5 + 107*j**2 + 193*j?
-7621500*j**2
Find the third derivative of -2214901*f**3 - 2224901*f**2 wrt f.
-13289406
What is the third derivative of 408*c**2*n**3 - 60*c**2*n**2 + 64*n**6 - 124*n**2 wrt n?
2448*c**2 + 7680*n**3
Find the first derivative of 591*h*l*p + 2*h*l + 8*h + l*p - 4*l - 76*p + 2 wrt h.
591*l*p + 2*l + 8
What is the second derivative of 8*x**4 + 44*x**3 + 22*x**2 - 13*x - 1425 wrt x?
96*x**2 + 264*x + 44
What is the second derivative of 9*o**3*r**4 + 2188*o**3 + 2*o**2*r - 2*r**5 + 1324*r**2 - r wrt r?
108*o**3*r**2 - 40*r**3 + 2648
Find the second derivative of 50078*u**2 + 257220*u wrt u.
100156
What is the second derivative of -607*g*o**2 + 158*g*o - 6*g*r + 3*o**5 + 8*o**3 + 2*o**2*r - 14*o wrt o?
-1214*g + 60*o**3 + 48*o + 4*r
Find the third derivative of -75*b**2*i*y**3 - b**2*i*y - 17419*b**2*y**3 - b**2 + 6*b*i + 2*i*y**2 + i*y + 7*i wrt y.
-450*b**2*i - 104514*b**2
Find the third derivative of n**4 - 13585*n**3 + 32280*n**2.
24*n - 81510
Differentiate -109450*g**3 + 19125.
-328350*g**2
Find the third derivative of 184088*b**5 + 2*b**3 + b**2 - 122250*b - 1 wrt b.
11045280*b**2 + 12
Find the first deriva | {
"pile_set_name": "DM Mathematics"
} |
000001
Let u = -28 - -28.0000172. What is u rounded to six dps?
0.000017
Let j = 9372850 + -9372827.999964. Let b = 28 + -50. Let t = j + b. Round t to 5 dps.
0.00004
Let b = 2396769 + -2396769.4200122. Let w = b + 0.42. What is w rounded to six dps?
-0.000012
Suppose -5*i - z + 24 = 0, -3*z + 0*z = -5*i + 28. Suppose 3*b - 157834 + 2007819 = i*a, 740005 = 2*a + b. What is a rounded to the nearest 100000?
400000
Let w = -0.3 - -0.268. Let m = -2.268 + w. Round m to the nearest integer.
-2
Suppose -4*r = -6168411 - 33325533. Suppose 2*d + r + 2726514 = 0. What is d rounded to the nearest 1000000?
-6000000
Let j(i) = -2 + 2 - 10800*i. Let y(v) = v**3 - 6*v**2 + 5*v - 5. Let w be y(5). Let b be j(w). What is b rounded to the nearest ten thousand?
50000
Let h = 160.4 - 160.4693. Round h to 3 dps.
-0.069
Let f = 10 - 22. Let q = -12.00000045 - f. What is q rounded to seven dps?
-0.0000005
Let a(y) = -851500*y - 1. Let p be a(-2). Suppose p + 377001 = 4*d. Suppose 3*u - d = -u. Round u to the nearest 100000.
100000
Suppose -390660 + 3486660 = -8*g. What is g rounded to the nearest one hundred thousand?
-400000
Suppose -4*g = -o - 77, -5*g = -o + 4*o - 109. Let y be (g/(-15))/((-2)/5401464). Let d = y + -9600976. Round d to the nearest 1000000.
-6000000
Let l = 1 - -3. Let s = 106044622.00000008 - 106044626. Let i = l + s. What is i rounded to 7 decimal places?
0.0000001
Let a = 10.00016 + -10. Let p = a - 0. Round p to five dps.
0.00016
Let x = -94.896 + -0.104. Let c = x - -95.0106. Round c to 3 dps.
0.011
Suppose 3*o - 11 = 10. Let n = -92 + o. What is n rounded to the nearest ten?
-90
Let g(k) = -235938*k**3 + k**2 + 4*k. Let u be g(4). Round u to the nearest one million.
-15000000
Let i = -24 + 17. Let t = -43819681.9999966 - -43819689. Let c = t + i. Round c to 6 decimal places.
0.000003
Let f = -8 + 8.00000038. What is f rounded to 7 dps?
0.0000004
Let d = 2.8 + 9.7. Round d to the nearest integer.
13
Let r = -7 - -10. Suppose -2*j - 5*b = r*j - 899995, 4*j - 719999 = -b. Round j to the nearest 100000.
200000
Let k = 45.99832 + -46. What is k rounded to 4 dps?
-0.0017
Suppose 5*s = -2*j + 164520, j - 3*s - 164488 = -j. Let y = j - 142250. Round y to the nearest 100000.
-100000
Let x(b) = b - 3. Let q be x(5). Suppose 2*s = -q*s. Suppose s*f + 1700 = 5*f. Round f to the nearest 100.
300
Let v(d) = 3*d + 1. Let m be v(1). Suppose -m*k - 37 = 27. Let a = 24 - k. Round a to the nearest 10.
40
Suppose 5*x + 747 = 2*r, 0 = -2*x + 3*r + r - 286. Round x to the nearest 10.
-150
Let k = -7.81 + 8.2. Let t = k - 6.79. What is t rounded to the nearest integer?
-6
Let o = -45 - -44.19. What is o rounded to one dp?
-0.8
Let c(z) = z**2 + 9*z + 10. Let i be c(-8). Suppose i*q = -2*q - 20. Let o(k) = -k**3 - 4*k**2 - 3*k. Let u be o(q). Round u to the nearest ten.
40
Let r = -144.03 + 143. Round r to 1 decimal place.
-1
Let l = 54 - 54.0000184. What is l rounded to 6 dps?
-0.000018
Let y = -0.76 - -0.26. Round y to zero dps.
-1
Let w(v) = -v + 7. Let y be w(3). Let d(q) = -318751*q**2 + 4*q. Let r be d(y). Round r to the nearest 1000000.
-5000000
Let y = -0.121 + 49.121. Let x = y + -49.000029. What is x rounded to 5 dps?
-0.00003
Let l = 19.67 + -20. Let q = -18211838 - -18211837.67000027. Let j = l - q. What is j rounded to seven dps?
-0.0000003
Suppose -6770 = -2*c + 2*h, -c + 4*c - 4*h = 10157. Suppose -x = c + 617. What is x rounded to the nearest one thousand?
-4000
Let k(i) = -i**3 + 2*i**2 + 2*i - 1. Let v be k(2). Suppose -5*t = -v*q + 129010, 2*q - t - 85990 = -6*t. Round q to the nearest ten thousand.
40000
Let w = 0 + 2. Let t = 2.06 - w. Round t to 2 decimal places.
0.06
Let t = 42 + -15. Let i = t + -26.99999923. Round i to seven dps.
0.0000008
Let z = 258706.1199965 - 258706. Let m = 0.12 - z. Round m to six dps.
0.000004
Let o be 6/21 + (-518002)/7. Round o to the nearest 10000.
-70000
Let r = -367.3016 - -367. Let t = -7 - -6.7. Let s = t - r. What is s rounded to three dps?
0.002
Let r = -17 - -15.96. Let q = 7.34 + r. Round q to the nearest integer.
6
Let o = -0.16 - -0.160075. What is o rounded to 5 dps?
0.00008
Let j = 114.6 - 105. Let s = j + -11. Let b = s + 6.6. Round b to 0 decimal places.
5
Let p = -0.8200076 + 0.82. Round p to 5 dps.
-0.00001
Let g = -10253 + 27167. Let o = 16919.9928 - g. Let z = -6 + o. Round z to three dps.
-0.007
Let t = 271 + -431. Let z = -159.999931 - t. Round z to 5 decimal places.
0.00007
Let d = 14 - 14.13. Let m = d - -0.1300112. Round m to 6 dps.
0.000011
Suppose q = 3*r - 3*q + 392980, 5*q + 25 = 0. What is r rounded to the nearest ten thousand?
-130000
Let f = 14 + -10. Let b = f + -3.99999988. Round b to seven decimal places.
0.0000001
Let n = 132 - 132.000113. Round n to five decimal places.
-0.00011
Let h = -181516.2 + 181612.2083. Let c = h + -96. Round c to 3 dps.
0.008
Let y = -248.7962284 - -271.796237. Let n = y - 23. Round n to six decimal places.
0.000009
Let x = 0.06 + -0.21. Let y = x - 0.75. What is y rounded to one dp?
-0.9
Let u = 2684 - 2797.7. Let h = u - -92. Let j = 22.67 + h. Round j to one decimal place.
1
Suppose 2*n - 4*t + 9 = -11, -4*n = 4*t - 8. Let w(o) = 315000*o**2 + o + 2. Let k be w(n). Round k to the nearest one hundred thousand.
1300000
Let i = 29.056 - 0.056. Let s = i + -29.00044. Round s to four dps.
-0.0004
Let k = 0.022 + 21.978. Let h = 34 - k. Let r = 12.00076 - h. Round r to 4 decimal places.
0.0008
Suppose n + 9 = -2*m, -3*n - 14 = 4*m + 5. Let u be (1*(1 - 6))/n. Suppose -2*x - 5*b = -x + 2020, 8020 = -4*x - u*b. Round x to the nearest one thousand.
-2000
Suppose 0 = -2*g + 5 + 9. Let c be 2/(-7) - (-16)/g. Suppose m + 1 = 0, -b - 4*m + 158 = c*b. What is b rounded to the nearest 10?
50
Let y = 27.6 + -9. Let g = -20.07 + y. Round g to 1 decimal place.
-1.5
Let z = -385671.32 - -385635.320037. Let k = -43 - -79. Let u = k + z. Round u to five decimal places.
0.00004
Let a = -12727 + 28727. Suppose t + a = 5*t. Let c be (1473 + (2 - 0))*t. What is c rounded to the nearest 1000000?
6000000
Let k = 0.00589793 + -0.0059. Round k to 7 dps.
-0.0000021
Let l(x) = -111548*x - 2. Let o be l(-2). Let w = o + -119094. What is w rounded to the nearest ten thousand?
100000
Let x = 3.6 + -1.5. Let f = x + -2.0999956. What is f rounded to six decimal places?
0.000004
Let g = 568.924 - 580. Let h = 11 + g. Round h to 2 dps.
-0.08
Let k = -0.49 - 0.01. Let w = k - -0.5003. What is w rounded to 4 decimal places?
0.0003
Let f = -21 + -28. Let g = f - -1. Round g to the nearest 10.
-50
Let p = 141805 + -98623. Let t = p - 146182. What is t rounded to the nearest ten thousand?
-100000
Let a = 40.062 + -40. Let q = a + -0.011. What is q rounded to two dps?
0.05
Let v be 0/(4 + (-2 - 0)). Let o be 2 - v*2/(-4). Suppose -4*g - o*m - 2853 - 351 = 0, 0 = 2*g - 4*m + 1592. Round g to the nearest one thousand.
-1000
Suppose -2*z - z + 2639073 = 0. Suppose 2936 - z = -5*h. Let y = 295351 - h. What is y rounded to the nearest 100000?
100000
Let y = -2.008 + 2. Let o = 0.22 - 0.2. Let b = y - o. Round b to 2 dps.
-0.03
Let j = 1.5 - -2.5. Let c = -105858 + 105854.00001. Let q = c + j. What is q rounded to 5 dps?
0.00001
Let s = 1654 + -1653.6559. Let i = s + -0.35. What is i rounded to 3 dps?
-0.006
Let w = 3928688 + -3928687.7899981. Let c = 0.21 - w. What is c rounded to 6 decimal places?
-0.000002
Let z = -0.13 + 0.1282. Round z to three dps.
-0.002
Let r = -128.61 - 2.39. Let q = r + 130.883. Let u = q - -0.11569. What is u rounded to four decimal places?
-0.0013
Let u = -138.9995 + 139. What is u rounded to 3 decimal places?
0.001
Let a = -18 - -8. Let c be a*((-304)/(-20) - -4). What is c rounded to the nearest ten?
-190
Let r = 71.938 - 72. What is r rounded to two decimal places?
-0.06
Let m be 34/8 + (-2)/8. Suppose 0*l + 2*f - 414620 = 5*l, m*l + f = -331709. Let c = l + 141926. Round c to the nearest 10000.
60000
Let q(y) = -y**3 + y + 1. Let o be q(-1). Let m be 2 + 116999 - 1/o. Suppose m = -3*g + 5*d, -5*d = -4*d. What is g rounded to the nearest 10000?
-40000
Let g be 20*3 - (-4)/(-1). Round g to the nearest 100.
100
Let d be 0 - (2 - 0) - -2. Suppose v - r - 385 = d, 3*v - 5*r = 763 + 402. What is v rounded to the nearest 100?
400
Let t = 45404.0085 + -45428. Let w = t | {
"pile_set_name": "DM Mathematics"
} |
e (-5 - (-31)/7)/2. Let u = -0.31 - -0.1. Let j = u + -0.29. What is the nearest to -1/4 in -2, f, j?
f
Let s = 981 + -983.26. Let n = 1.96 + s. Which is the nearest to 0? (a) -2/13 (b) n (c) -8 (d) -0.5
a
Let x be 42/(-20) - (-6)/15*-1. Which is the nearest to 1? (a) 0.05 (b) 2 (c) x (d) -4
a
Let s = 231 - 231.5. Let w = -3.3 - 0.7. Which is the nearest to -5? (a) w (b) s (c) 0
a
Suppose 3*s - 1841 = -1736. Suppose -v = 4*v - 150. Let x = v - s. What is the nearest to x in 0, 0.5, -4?
-4
Let z = 425 + -581. Let m = 154 + z. Let i = 0.3 + -0.4. Which is the nearest to -1? (a) i (b) 1/5 (c) m
a
Let j = 2/8111 + 16184/154109. What is the nearest to -1 in -9/2, 4, j?
j
Let t = -172 + 173.27. Let b = t + -5.27. What is the nearest to -1 in 0, b, 4?
0
Let x = 2.1 - 2. Let i = -214.8 + 215.2. What is the closest to i in x, -2, -1?
x
Let a = 31.58 + -24.58. Let q = 85.5 - 86. What is the nearest to 0.02 in q, -2/3, a, 4?
q
Suppose 0 = -14*l - 6*l + 60. Suppose 5*n - 35 = -2*q, 7*n + q = l*n + 25. Which is the closest to -1/2? (a) n (b) 1/4 (c) -0.6 (d) -2
c
Let u = -33/10 + 19/5. Let i be (-136)/714*3/(-2). What is the nearest to -1 in -0.29, u, i?
-0.29
Let c = -0.5 + 0.2. Suppose -6659 = -65*s - 6594. Let p be ((-12)/21)/(1 + 1). What is the nearest to p in s, c, -2/7?
-2/7
Let z = -0.2633 + -0.1412. Let d = z - -0.0045. Which is the closest to 1? (a) 5/6 (b) d (c) -3
a
Let s be ((1 + -2)*-1)/(14/(8 - 1)). Let o = 0.9 + 1.1. What is the nearest to s in -13.4, o, -0.2?
-0.2
Let r(m) = -54*m - 163. Let o be r(-3). Let a = -24 + 25.7. Let i = a - 1.9. What is the closest to i in -0.2, -2/5, o?
-0.2
Let i be 1*(-9 + 6) + 78/10. Suppose 16 - 35 = 19*s. Which is the nearest to -0.3? (a) i (b) s (c) 0.3 (d) -5
c
Let l = 1.96 - -0.04. Suppose -2*z - 14 = 2*n, 3*z = 3*n - 99 + 90. Which is the nearest to -2/11? (a) 3/10 (b) l (c) z
a
Let d = 47.5 - 47. Let y = -610 + 610.1. Which is the nearest to y? (a) d (b) -97 (c) 1/7
c
Let s = -1196 + 1198. Suppose 5*m + 5*v + 15 = 0, -7 = 2*m - m + 3*v. What is the closest to m in 17, 0, s?
0
Let i = 102 - 69. Let r = 11 - 39. Let p = r + i. Which is the nearest to 1? (a) -5 (b) p (c) 0.4
c
Let j = -10576 - -10576.1. Suppose 0 = -l - 3 + 5. Suppose 1 - 21 = -4*g. Which is the closest to l? (a) g (b) j (c) -3/8
b
Suppose -227 = h - 0*h - 3*q, -3*q = -3. Let l = h - -224. Let i = 0.36 - 0.06. Which is the nearest to l? (a) i (b) -0.1 (c) 4
b
Let j = 10841 - 10840.82. What is the nearest to 0.2 in -0.2, 0.5, j, 3?
j
Let n = -6 + 6.4. Let z = 45035 + -45032. Which is the closest to -1/4? (a) n (b) z (c) -1
a
Let v(f) = f**3 + 2*f**2 - 60*f - 179. Let x be v(-7). What is the nearest to -3/8 in x, -7, -0.4?
-0.4
Let d be -10 + 4 + (-6080)/(-18). Let q = 332 - d. Which is the closest to 0? (a) 1/4 (b) 3 (c) q
c
Let t = -0.16 - -0.06. Let o = -568 - -571.3. Let z = 4.1 - o. Which is the nearest to z? (a) 2 (b) 1/4 (c) t
b
Let p = 14283 - 186487/13. Let f = p + 62. Let m be -3 - 0 - 8/(-3). What is the nearest to m in 1, -3/7, f?
-3/7
Let j = 1125/28 - 14681/364. Which is the nearest to 0.1? (a) 3/5 (b) j (c) 5
b
Let a be ((-144)/13554)/((-16)/(-36)*-3). What is the closest to -1/2 in a, -0.3, -2/7?
-0.3
Let t = -21360/767 + 1634/59. Suppose 0 = -3*o - 3. Which is the nearest to 2/13? (a) -1/7 (b) o (c) 0.3 (d) t
c
Let j = 320.09 + -324.09. What is the nearest to 1 in -0.53, 0.5, -1, j?
0.5
Let i = 60910 + -60909.99. Let h = -0.4 - 0.1. Which is the closest to i? (a) 0.2 (b) h (c) -3
a
Suppose -6*h = -h. Let n = 503 + -502. Let g be (6/21)/2 + 0. Which is the closest to h? (a) g (b) n (c) -0.4
a
Let v = -1933/5 + 13541/35. What is the closest to 3 in v, 2, 1/9, -3?
2
Let p = -18.45 + 17.65. Which is the nearest to 2/5? (a) -1 (b) -1/14 (c) p
b
Let f = -97110.7 + 97111. Let m(j) = -2 + 2*j + j**2 + j**2 - 4*j. Let x be m(2). What is the nearest to x in -8, f, -6/11?
f
Let q be 212 - (28 - 462/22). Which is the closest to 1/5? (a) q (b) -1 (c) 0
c
Let o = 0.09703 - -0.90297. What is the nearest to 0.1 in o, -0.3, 180/17?
-0.3
Let y = -12.49 - 0.91. Let i = -9.4 - y. What is the nearest to i in -3, -1, -0.06?
-0.06
Let u = -1994 - -1997. What is the closest to -5 in 104, -2/3, u?
-2/3
Let s = 4.2304 + -0.2304. Which is the nearest to -2? (a) -1 (b) 6 (c) -23 (d) s
a
Let g = -22 - -21.44. Let o = -10.04 + g. Let t = -11 - o. What is the nearest to 7 in -0.2, t, 5/3?
5/3
Let n be (-2)/4 - (-7)/10. Let s(o) = o**2 - 11*o - 9. Let m be s(12). Suppose -r + 2 = 3*c, -3*r - m = -c - r. What is the nearest to -0.1 in c, -0.5, n?
n
Let r = -34045 + 34050. What is the closest to -1/7 in -5, -0.1, r, 0?
-0.1
Let p = 6288 - 4372. Which is the nearest to p? (a) 0 (b) -5 (c) 0.4
c
Let q be 12/27 - (-5191)/(-2871). Which is the closest to q? (a) -1/3 (b) 0.2 (c) -0.1 (d) 3
a
Let y be (11/((-594)/(-45)))/(18/(-24) - -2). Let k = 0.2 + 0.8. Which is the nearest to k? (a) y (b) 1/2 (c) 0.1
a
Let v = 28685 + -28671. What is the closest to v in -1.2, -0.1, -1, 1/8?
1/8
Let v be 100/45*-1 - (-9 - (-2 + -5)). Which is the nearest to v? (a) -5 (b) 3 (c) -3
c
Let j = 932 - 931.9. Let v be ((-756)/112)/((-3)/(-16)). What is the closest to j in -4, 3, -2, v?
-2
Let f = -0.2 - -0.1. Let t = 43239 + -43229. Let l = 0.1 + 0.1. Which is the closest to t? (a) -0.3 (b) l (c) f
b
Suppose 0 = -5*k + j + 11, 66 = -2*k - 3*j + 50. Let u = 0 + 0.2. Which is the nearest to 1/4? (a) u (b) k (c) -1/11
a
Let m = -845/7 + 119. Let i = -125.9 - -125. Let x = i - -1.9. What is the nearest to 1 in x, 5, m?
x
Let w = 215/3 - 71. Suppose -5*j - 34 = -54*v + 55*v, 0 = 3*v - 2*j. Which is the nearest to 2/7? (a) w (b) 5 (c) v
a
Let v = -6.89 + 6.49. What is the nearest to 0 in 16, v, 78?
v
Let k = 0.24 + -0.2. Let j = k + -0.34. Let d = 11287 + -191881/17. What is the closest to -2 in j, -1/5, d?
j
Suppose 2*h - 65 = -3*r, 0 = h + 3*r - 8*r - 26. Suppose 15 = -34*p + h*p. What is the closest to p in 5, -4/3, -1/6?
-4/3
Let p = 823 + -822.988. Which is the closest to 2? (a) 3 (b) 0.4 (c) -3/4 (d) p
a
Let n be (30/9 + -4)*-3 + 2. Let y = 0.28 - -0.1. Let j = -3.38 + y. Which is the nearest to 2/17? (a) j (b) n (c) -1/4
c
Let o = 5090.3 + -5090. What is the closest to o in -2, -0.3, 5/3, -0.01?
-0.01
Let m = 1369.81 + -1367.81. Let t = 1 + 3. Let p = t + -3. What is the closest to p in m, 4, 1?
1
Let r = 814 - 816. Let x = 0.2 - -0.8. Let h = 155 + -153. What is the nearest to x in r, h, 2/7?
2/7
Suppose j + g + 6 = -j, -2 = -3*j + 4*g. Let h = -1.6018 - -1.1018. What is the closest to 9/7 in -0.2, h, j?
-0.2
Suppose -10 = -5*s + 5. Suppose 13 = 4*j - s*v + 50, j + 3*v = -13. Let u be 6/j - (-2 - 2 - -4). Which is the nearest to 0? (a) 3 (b) u (c) 1/4
c
Let s be (-4*(4 - 5))/(2/(-29)). Let j = -59 - s. Let k be (-1)/j - (-4 - -2). What is the closest to k in 1, 3, -2/7?
3
Let n = 0.7055 - 0.2055. What is the closest to n in -1/25, -1/3, 5/4?
-1/25
Let v = -11551.5 + 11551. What is the nearest to 0.301 in -5, 2, -2, v?
v
Suppose z = -k - 8, 165*k - 162*k - 60 = 4*z. Which is the closest to -0.1? (a) -0.2 (b) 30/13 (c) z
a
Let m = 20.609 + -21.009. Which is the nearest to 0.2? (a) -1/2 (b) 1 (c) -6 (d) m
d
Let v = -14.41 - -12.41. Let r = 0.37 + -3.37. Let k = 2.9 + r. Which is the nearest to 2? (a) k (b) v (c) 3
c
Let y = 1160.3 - 1160. Let j be 8/(-12) - (-2)/3. Suppose j = -2*f + 4*q - 2, -f + 0*q + 4*q + 3 = 0. What is the nearest to 2/7 in f, y, -0.1?
y
Let w = -0.33 - -0.347. Let y = -0.037 + w. Let u(n) = n**3 - 15*n**2 - 15*n - 17. Let t be u(16). Which is the nearest to t? (a) -4/3 (b) y (c) 0.4
a
Let z = -42 - -25. Let g = 17.5 + z. Let v = 2.24 + -2.54. Which is the nearest to 5/7? (a) -1/3 (b) v (c) g
c
Suppose -4*q - 3*z + 94 = 0, -9*q - 4*z = -11*q + 36. Suppose 0 = -q*j + 4*j - 36. Which is the closest to j? (a) -2/9 (b) -5 (c) -1
c
Suppose -2 = -10*p + 9*p. Let d(n) = -n**3 + n**2 - 4*n + 7. Let v be d(2). Which is the nearest to 4/7? (a) p (b) 0 (c) v
b
Let i = 9.938 + -7.738. Let v = -24 + 28. Which is the nearest to v? (a) i (b) 0.2 (c) -0.5
a
Let y = 0 - 0. Let l = -1937/40549 - 1/989. What is the nearest to 0 in y, l, 3?
y
Let u = | {
"pile_set_name": "DM Mathematics"
} |
is 11000 - -11022?
22022
In base 3, what is -1 - -21022010?
21022002
In base 15, what is 0 + -cc?
-cc
In base 10, what is -51 + 74?
23
In base 14, what is 14 + -c?
6
In base 16, what is -33 + a?
-29
In base 6, what is -23123 - 5?
-23132
In base 10, what is 18 - 39?
-21
In base 3, what is 2 + 2011022?
2011101
In base 6, what is -4 + -3350?
-3354
In base 8, what is -14 - -74?
60
In base 5, what is 4 + -120?
-111
In base 3, what is -10 + -21000022?
-21000102
In base 3, what is 1012111 - -12?
1012200
In base 16, what is -3 + -d?
-10
In base 3, what is 21211101 - 2?
21211022
In base 12, what is -2 + -89?
-8b
In base 15, what is 5 + 29?
2e
In base 4, what is 213310 + 0?
213310
In base 16, what is 2b + 1c?
47
In base 10, what is 1 - -367?
368
In base 10, what is 147 + 40?
187
In base 2, what is -100110 - 11?
-101001
In base 7, what is -2262 - 3?
-2265
In base 4, what is -10 + 1102332?
1102322
In base 3, what is 1 - 220102?
-220101
In base 9, what is 244 + -3?
241
In base 8, what is -13 - -655?
642
In base 2, what is -1011 - 11010110000?
-11010111011
In base 9, what is 65 + 5?
71
In base 4, what is -12 - -33?
21
In base 7, what is 105 + -2?
103
In base 2, what is 101 + -10100011?
-10011110
In base 5, what is -441 - -200?
-241
In base 11, what is 862 - 4?
859
In base 10, what is 1271 + -4?
1267
In base 8, what is -1041 - -3?
-1036
In base 4, what is -1131 + 102?
-1023
In base 8, what is 12 + -10?
2
In base 15, what is 91 + 0?
91
In base 13, what is -4a08 - -2?
-4a06
In base 13, what is -19c - 1b?
-1ba
In base 11, what is -41 + -21?
-62
In base 13, what is 1 + 105a?
105b
In base 4, what is -1 - -13222?
13221
In base 14, what is 23b - 6?
235
In base 6, what is -10045 + 2?
-10043
In base 12, what is -7 + 301?
2b6
In base 2, what is -1001001100 + 1?
-1001001011
In base 12, what is 20b8 - -4?
2100
In base 6, what is 1440 + -1?
1435
In base 13, what is -4 - 67?
-6b
In base 4, what is 11 - 31303?
-31232
In base 5, what is 33 + -33?
0
In base 9, what is -312 + -1?
-313
In base 4, what is 10 - 11123?
-11113
In base 12, what is 2 + -8a7?
-8a5
In base 15, what is 9 + -3a?
-31
In base 8, what is 0 + 73?
73
In base 9, what is -2 + 2314?
2312
In base 16, what is -1 + 32?
31
In base 10, what is 22 - 124?
-102
In base 12, what is 2 - 806?
-804
In base 9, what is 14 + 1433?
1447
In base 12, what is a00 + 0?
a00
In base 10, what is 18 + 2153?
2171
In base 15, what is -6 - -52?
4b
In base 5, what is -1 - 11141?
-11142
In base 2, what is 100100111001000 - 11?
100100111000101
In base 11, what is a277 + 0?
a277
In base 2, what is 101 + 111000000111?
111000001100
In base 7, what is -2 + 2223?
2221
In base 11, what is -5 + 18?
13
In base 2, what is -1001111101001 + 1?
-1001111101000
In base 2, what is -11 - -11101?
11010
In base 9, what is 5 - 333?
-327
In base 8, what is -162 - -110?
-52
In base 9, what is -41 - 3?
-44
In base 15, what is 2 + a?
c
In base 6, what is 5 - -32150?
32155
In base 16, what is 163 - -1?
164
In base 13, what is -11bb + 2?
-11b9
In base 2, what is 100 - 110000?
-101100
In base 9, what is 5 - -8?
14
In base 10, what is 116 + -1?
115
In base 10, what is 4272 + 0?
4272
In base 13, what is -4 + bc9?
bc5
In base 15, what is -1b2 + -26?
-1d8
In base 10, what is 20 - -87?
107
In base 13, what is -3 + 157?
154
In base 13, what is 802c - 1?
802b
In base 12, what is 520 + a?
52a
In base 6, what is -2 + -510?
-512
In base 15, what is -40 - 1a8?
-1e8
In base 13, what is -42 + -6?
-48
In base 10, what is -8 + 91?
83
In base 2, what is -10 + 1001110?
1001100
In base 14, what is -93 + -68?
-11b
In base 11, what is 385 + -16?
36a
In base 6, what is 10 + 25?
35
In base 2, what is 0 + -101001100111?
-101001100111
In base 2, what is 1000 - 1100?
-100
In base 16, what is 9e + 1?
9f
In base 2, what is 111110111 + 10000?
1000000111
In base 9, what is -1 + 458?
457
In base 7, what is -16506 - -1?
-16505
In base 11, what is 15 - 23?
-9
In base 11, what is -4 + -21?
-25
In base 8, what is 236 + 32?
270
In base 13, what is -239 - 0?
-239
In base 13, what is 7 + 1257?
1261
In base 14, what is -2 + 131?
12d
In base 9, what is 313 + -4?
308
In base 15, what is 19 + -d?
b
In base 9, what is 327 + 28?
356
In base 13, what is -2 + -338?
-33a
In base 11, what is 168 + 2?
16a
In base 12, what is 692 - 3?
68b
In base 16, what is 4 + -15b?
-157
In base 9, what is -1206 + 5?
-1201
In base 15, what is 4 + a?
e
In base 3, what is -1111 + -2?
-1120
In base 10, what is -10 + 4?
-6
In base 5, what is 1004 + -1?
1003
In base 3, what is 12211 - -10?
12221
In base 16, what is 3d - -7?
44
In base 4, what is -2002 + -3?
-2011
In base 2, what is 11101 + -1100?
10001
In base 7, what is 3422 + 20?
3442
In base 11, what is -57a + -8?
-587
In base 12, what is 63 - 13?
50
In base 15, what is cb + 3?
ce
In base 16, what is 5 + -145?
-140
In base 15, what is -3 + -413?
-416
In base 8, what is 441 + 2?
443
In base 12, what is 103 - 1a?
a5
In base 11, what is -4 + -515?
-519
In base 15, what is 3a + -6?
34
In base 5, what is -102 - 432?
-1034
In base 10, what is 22 + -18?
4
In base 11, what is 8139 + 5?
8143
In base 14, what is 1 - -7da?
7db
In base 8, what is -1 - -2106?
2105
In base 6, what is -14 - -24002?
23544
In base 9, what is 14 + -48?
-34
In base 5, what is 2 + 344?
401
In base 9, what is 12 - 573?
-561
In base 16, what is a3 + -1?
a2
In base 12, what is 0 + -80?
-80
In base 3, what is 2 - -2020?
2022
In base 3, what is -20101 + 11?
-20020
In base 13, what is -32 - 2?
-34
In base 15, what is -d9 - 3b?
-125
In base 12, what is 7091 + 2?
7093
In base 8, what is 12026 - 7?
12017
In base 2, what is -10101101001 - 11?
-10101101100
In base 12, what is -100 + -1?
-101
In base 13, what is -1 + 11b?
11a
In base 11, what is -89a - -18?
-882
In base 7, what is 322 - 10?
312
In base 11, what is 1 - 39?
-38
In base 12, what is -2a9 - -1?
-2a8
In base 3, what is -101010011 + -11?
-101010022
In base 16, what is 77 - 9?
6e
In base 5, what is 4 + -30?
-21
In base 7, what is -3 + 1010?
1004
In base 2, what is 10101 - -100111010?
101001111
In base 11, what is -24 - 390?
-404
In base 11, what is -194 + -16?
-1aa
In base 4, what is -2 - -103323?
103321
In base 7, what is -5 - -103?
65
In base 10, what is 2420 + 4?
2424
In base 3, what is -10 - 2211?
-2221
In base 16, what is -3 - 670?
-673
In base 9, what is 1383 + -1?
1382
In base 16, what is -f9b + 2?
-f99
In base 8, what is 110 - -10?
120
In base 12, what is -146 - 5?
-14b
In base 2, what is -1011 + -111?
-10010
In base 4, what is 1131 + 121?
1312
In base 4, what is -11311 - -10?
-11301
In base 4, what is -10 - -10?
0
In base 8, what is -746 + 2?
-744
In base 5, what is 24 - -241?
320
In base 14, what is -1b5 - 5?
-1ba
In base 10, what is 7 + 5?
12
In base 11, what is 1 - 38?
-37
In base 3, what is 10 + 10200?
10210
In base 4, what is -23 - -102?
13
In base 7, what is -2 - 2456?
-2461
In base 4, what is -10022 - 111?
-10133
In base 6, what is -10143 - -2?
-10141
In base 3, what is -20 - -1102201?
1102111
In base 6, what is -4511 + 5?
-4502
In base 15, what is 5 + 1a?
20
In base 11, what is -49 + a?
-3a
In base 13, what is 8 - -41b?
426
In base 5, what is -1 - -11244?
11243
In base 6, what is 2403 + 5?
2412
In base 2, what is -101 + 1000110101?
1000110000
In base 12, what is -2 + 229?
227
In base 2, what is 1100110 + 101?
1101011
In base 10, what is 1 + -2691?
-2690
In base 14, what is -65 + -5?
-6a
In base 15, what is -21 - -b?
-15
In base 12, what is -1b5 + 5?
-1b0
In base 7, what is 11 + 231?
242
In base 16, what is 5d + 21?
7e
In base 8, what is -2467 - 0?
-2467
In base 10, what is 16389 - 0?
16389
In base 14, what is -214 + 5?
-20d
In base 10, what is -21 + 40?
19
In base 3, what is 1000 - 10?
220
In base 9, what is -10 + 38?
28
In base 11, what is -6 - -3a?
34
In base 6, what is 14 + -41?
-23
In base 3, what is -222 - -202?
-20
In base 4, what is -33 + 10210?
10111
In base 12, what is 262 + -4?
25a
In base 2, what is -11 + -1001011?
-1001110
In base 2, what is 11101 + 100110000?
101001101
In base 5, what is 40 - 320?
-230
In base 4, what is -1 - 1021?
-1022
In base 10, what is -75 + 39?
-36
In base 10, what is -3 + -2137?
-2140
In base 4, what is 13 - 211110?
-211031
In base 12, what is 4 - 58?
-54
In base 2, what is 101 + -11010100?
-11001111
In base 10, | {
"pile_set_name": "DM Mathematics"
} |
r + 1197. What is 1197*h(s) + 2*q(s)?
171*s**2
Let p(a) = -24*a**2 - 9*a + 9. Let r be (-78)/(-975) - 27/25. Let u be 20/(-8)*(r - (-2)/10). Let d(x) = -6*x**2 - 2*x + 2. Give u*p(i) - 9*d(i).
6*i**2
Let s(a) = 1260*a**2 + 14*a - 462. Let c(j) = 97*j**2 + j - 36. Calculate 77*c(p) - 6*s(p).
-91*p**2 - 7*p
Let t(f) = 2*f**2 + 12*f - 37. Let v(h) = -2*h**2 - 10*h + 30. Let i(z) = -4*t(z) - 5*v(z). Let b(w) = 2*w**2 + 2*w - 2. Give -3*b(o) + 2*i(o).
-2*o**2 - 2*o + 2
Let i(s) = 21*s + 4. Let x(z) be the third derivative of -7*z**4/4 - 3*z**3/2 - 39*z**2 + 6*z. Calculate -9*i(k) - 4*x(k).
-21*k
Let q(g) = -3811*g + 7652*g - 14 - 3797*g. Let t(r) = 9*r - 3. Determine 6*q(j) - 28*t(j).
12*j
Let x(z) = -35*z**2 + 9*z + 7. Let b(w) = 184*w**2 - 48*w - 36. Calculate -2*b(s) - 11*x(s).
17*s**2 - 3*s - 5
Let v(d) = d**2 + 8*d - 18. Let j be v(-10). Suppose -j*o - 21 + 31 = 0. Let w(u) = -9*u - 7. Let m(g) = -13*g - 9 - 1 + 1 - 1. Give o*m(l) - 7*w(l).
-2*l - 1
Let h(p) = 27*p - 2. Let b(u) = 1062*u - 63. Give -b(r) + 45*h(r).
153*r - 27
Let g(n) = n + 4. Let u(r) = -r - 1. Let i be 8188/(-20) - 6/(-15). Let f = -410 - i. Give f*g(a) - 3*u(a).
2*a - 1
Let w(f) = 53*f - 6. Let a(l) = 5 + 409*l + 391*l - 854*l + 0. Give 6*a(z) + 5*w(z).
-59*z
Let b(n) = -17582*n - 149. Let c(p) = 587*p + 5. Give -5*b(x) - 149*c(x).
447*x
Let f = 20254 - 20252. Let q(v) = -4*v**2 + 6*v + 1. Let t(d) = 16*d**2 - 25*d - 4. Determine f*t(j) + 9*q(j).
-4*j**2 + 4*j + 1
Let u(m) = 261*m**2 - 9*m + 130. Let o(g) = -65*g**2 + 2*g - 29. What is -9*o(t) - 2*u(t)?
63*t**2 + 1
Let u(v) = 2*v - 6. Suppose 7*a = a + 72. Let o be 4/(24/10)*a/4. Let i(t) = -2*t + 6. Calculate o*u(p) + 6*i(p).
-2*p + 6
Let u(v) = 8*v**2 + 3*v - 1. Let d(n) = 43 - n**2 + 46118*n - 42 - 46119*n. Determine 3*d(a) + u(a).
5*a**2 + 2
Let h(a) = -46*a - 125. Let p(o) = 12*o + 2. Determine h(b) + 3*p(b).
-10*b - 119
Let r(t) = -t**2 - 4. Let j(m) = 0*m**2 - m**2 + 345 - 164 - 184. Suppose -42 = 2*z + 2. Let k = 15 + z. Calculate k*j(a) + 6*r(a).
a**2 - 3
Let k(y) = 2*y. Let d(j) = -528*j + 2. Calculate d(s) - 5*k(s).
-538*s + 2
Let c(z) = 490*z**2 - 12. Let q(v) = -1033*v**2 + 26. What is 7*c(w) + 3*q(w)?
331*w**2 - 6
Let n(u) be the third derivative of -u**4/6 - u**3/3 - 37*u**2 - 2*u - 2. Let h(f) = f. Let w(o) = 2. Let c(i) = 4*h(i) + w(i). Determine -7*c(k) - 6*n(k).
-4*k - 2
Let r(s) = -43*s - 1. Let l(x) = -256*x - 1142. Give -l(j) + 6*r(j).
-2*j + 1136
Let g(d) = d**2 + d. Let r(f) = -3*f**2 + 2. Suppose 4*j - 2*a + 5*a - 38 = 0, -4 = 2*a. Let s = -19 + j. Let c be -6*(-2)/8*s/(-12). Calculate c*r(k) + g(k).
-2*k**2 + k + 2
Let n(o) = 5*o + 240. Let d(g) = -6*g - 227. Determine -3*d(b) - 4*n(b).
-2*b - 279
Let y(j) be the second derivative of -j**3/6 + 4*j**2 - j - 81. Let t(u) = -u - 1. Determine 6*t(d) + y(d).
-7*d + 2
Let a(w) = -179*w**2 - 57*w + 5. Let c(r) = -88*r**2 - 33*r + 2. Calculate -4*a(f) + 7*c(f).
100*f**2 - 3*f - 6
Let n(k) = -249*k**2 + 8*k + 11. Let y(c) = -124*c**2 + 3*c + 5. Determine 2*n(j) - 5*y(j).
122*j**2 + j - 3
Let m(v) = 1365*v**3 - 273*v**2 - 182. Let w(i) = -91*i**3 + 18*i**2 + 12. What is 12*m(y) + 182*w(y)?
-182*y**3
Let r(d) = -4*d**2 - 7*d - 21. Let h(c) be the first derivative of -c**3/3 - c**2 - 7*c - 215. What is 14*h(v) - 4*r(v)?
2*v**2 - 14
Let r(f) = 21898*f - 21898*f - 7 + 9*f**3. Let h be (4 - (5 - -4)) + -2. Let x(u) be the second derivative of -2*u**5/5 + 3*u**2 + u. Calculate h*x(i) - 6*r(i).
2*i**3
Let y(r) be the second derivative of -r**4/12 - 5*r**3/6 - r**2 + 32975*r. Let u(b) = 5*b**2 + 26*b + 11. Let q = -23 - -12. Give q*y(h) - 2*u(h).
h**2 + 3*h
Let a(p) = -p. Let o(c) = -10*c**2 - 30*c. Suppose -4 - 15 + 2 = 17*w. Determine w*o(v) + 30*a(v).
10*v**2
Let h(w) = 176*w**3 + 33*w**2. Let o = 5554 + -5550. Let v(t) = -11*t**3 - 2*t**2. Calculate o*h(f) + 66*v(f).
-22*f**3
Let z(h) = -h. Let k(j) = 36*j. Let c(w) = -w. Let y(f) = -60*c(f) - 2*k(f). Suppose 690 = -67*l - 623*l. Determine l*y(r) + 3*z(r).
9*r
Suppose 0 = -b - 2*b + n - 628, -b - 4*n = 192. Let j = -203 - b. Let g(s) = 2*s**2 + 2*s - 8. Let t(r) = 2*r**2 + 2*r - 7. What is j*g(i) - 6*t(i)?
-2*i**2 - 2*i + 2
Let b(g) = 7*g**3 + 7*g + 798. Let k(p) = -13*p**3 - 13*p - 1593. What is -11*b(l) - 6*k(l)?
l**3 + l + 780
Let t(p) = -p**3 - 6*p**2 - p + 2. Let a(h) = 2*h**3 + 42*h**2 + 5*h - 262. Determine -a(s) - 7*t(s).
5*s**3 + 2*s + 248
Let h(g) = -1221*g + 2. Let u(s) = 1222*s - 3. Give 5*h(k) + 4*u(k).
-1217*k - 2
Let z(m) = 325*m**3 + m**2 + 12*m. Let t(d) = d**3 + 4*d. Give -3*t(o) + z(o).
322*o**3 + o**2
Suppose 4 = 3*m - 5. Let p(a) = -2*a**2 - a - 4. Let u(n) = -n**2 - 1. Let f(r) = m*u(r) - p(r). Let k(o) = 3*o**2 + 2*o. Calculate f(h) + k(h).
2*h**2 + 3*h + 1
Let c(f) = -5*f**3 + 3*f**2 - 3. Let l be (4 - (-88)/(-20)) + 51/15. Let j(u) = 5*u**3 + 2 + 9*u**3 - 2*u**2 - 9*u**l. Determine 4*c(t) + 6*j(t).
10*t**3
Let s(a) = 9*a**2 - 11*a - 1. Let t(h) = 5*h**2 - 2*h + 23. Let j(x) = 7*x**2 - 2*x + 37. Let w(i) = -5*j(i) + 8*t(i). Give -3*s(n) + 5*w(n).
-2*n**2 + 3*n - 2
Let w(l) = -115*l - 675. Let r(b) = 23*b + 142. Calculate -11*r(g) - 2*w(g).
-23*g - 212
Let d(i) = 3*i**2 + 3*i - 122 - i + 68 + 41. Let a(r) = 1. Calculate 5*a(z) + d(z).
3*z**2 + 2*z - 8
Let y(j) = -116 + 41 + 31 + 3*j**3 + 43 - 2*j**3. Let v(r) = r**3 - 4*r**2 + 6. What is -v(w) - 6*y(w)?
-7*w**3 + 4*w**2
Let h(f) = -22600*f**2 + 7*f. Let a(c) = 15069*c**2 - 5*c. Give 7*a(q) + 5*h(q).
-7517*q**2
Let u(i) = -134*i - 1406. Let m(n) = -84*n - 937. Give 8*m(l) - 5*u(l).
-2*l - 466
Let n(k) = 5*k**3 - 52*k**2 - 6*k. Let l(o) = -15*o**3 + 158*o**2 + 17*o. Give 6*l(y) + 17*n(y).
-5*y**3 + 64*y**2
Let y(i) = -1720*i + 2. Let z(b) = -6885*b + 7. What is 11*y(m) - 3*z(m)?
1735*m + 1
Let k(z) = -164*z**2 - 42*z + 10. Let h(c) = 5*c - 1. Give -8*h(i) - k(i).
164*i**2 + 2*i - 2
Let l(i) = 861*i**3 - 21*i**2 + 5*i + 10. Let k(q) = -861*q**3 + 17*q**2 - 4*q - 8. Calculate -5*k(d) - 4*l(d).
861*d**3 - d**2
Let k(p) be the third derivative of -p**6/120 + p**5/60 - p**4/6 + 867*p**2. Let b(n) = 2*n**3 - 3*n**2 + 9*n. What is -2*b(u) - 5*k(u)?
u**3 + u**2 + 2*u
Suppose 0 = -432*q + 464*q - 288. Let z(l) = 13*l**3 - 9*l**2 + 5*l. Let t(r) = -r - 2*r**2 + 4*r**2 + 0*r - 3*r**3. What is q*t(n) + 2*z(n)?
-n**3 + n
Let b(q) = 50*q**3 + 18*q**2 + q + 4. Let r(w) = -9*w**3 - 3*w**2 - 1. Let f(d) = 2*b(d) + 11*r(d). Let g(l) = -1. What is -f(p) + 2*g(p)?
-p**3 - 3*p**2 - 2*p + 1
Let o(j) be the first derivative of -9*j**2/2 - 3*j - 2. Let i(b) = 71*b - 6*b - 1 - 15*b - 51*b. What is 4*i(n) - o(n)?
5*n - 1
Let r(f) = -4*f - 3. Suppose -2*z + 15 = -7*z. Let y(x) = -87*x + 8*x - 28 + 27*x + 17*x. Calculate z*y(c) + 28*r(c).
-7*c
Let y(j) = -j**3 - j + 1. Let q(b) = 3*b**2 - 3 - 3*b**2 + 27 - 6*b**3 - 24*b**3 - 24*b. Let g(n) = -n + 1. Let i be g(0). Determine i*q(o) - 24*y(o).
-6*o**3
Let c(m) = -415. Let t(n) = -311. Let s(q) = 3*c(q) - 4*t(q). Let h(b) = 10*b + 9. Calculate -h(p) - 6*s(p).
-10*p - 3
Let d(m) = 3386*m**3 + 3382*m**3 + m + 5*m**2 - 6759*m**3. Let c(p) = -4*p**3 - 3*p**2. Determine 5*c(b) + 3*d(b).
7*b**3 + 3*b
Let g(a) = -a + 4. Let x be 2/3 - 618/9 - 4. Let o be 8/(-6)*x/32. Let p(t) = 2*t - 4. What is o*p(i) + 4*g(i)?
2*i + 4
Let g be (2 - (-12)/(-9))*(26 + -32). Let n(x) = 6*x**2 - 15*x. Suppose 8*r - 3*r - 11 = -b, -r = b - 19. Let h(l) = l**2 - 3*l. Calculate b*h(p) + g*n(p).
-3*p**2 - 3*p
Let p(c) = -11*c**2 - 15*c - 10. Let n(h) = -10*h**2 - 13*h - 9. Let b(k) = -6*n(k) + 5*p(k). Let j(s) = 10*s**2 + 7*s + 9. Give -9*b(q) + 4*j(q).
-5*q**2 + q
Let j(r) = 5*r**2 + 70*r - 1. Let a(c) = -11*c**2 - 150*c + 3. Determine 6*a(y) + 13*j(y).
-y**2 + 10*y + 5
Let h(z) be the first derivative of z**3 + z**2/2 + 3*z + 5601. Let o(i) = -i**2 - 1. Give h(v) + 2*o(v).
v**2 + v + 1
Let s(b) = -9*b**3 + 7*b**2 + b + 7. Let p(d) = -4*d**3 + 3*d**2 + 3. Suppose -64 = 15*c + 80 - 39. Give c*p(v) + 3*s(v).
v**3 + 3*v
Let h(b) = -6*b**3 + 22*b**2 - 156*b - 114. Let q(s) = s**3 - 4*s**2 + 31*s + 23. Calculate -2*h(g) - 11*q(g).
g**3 - 29*g - 25
Let n(y) = -4 + 2 + 16*y - 17*y. Let x(u) be the second derivative of -u**2/2 + 1792*u. Give n(i) - 3*x(i).
-i + 1
Let s(t) = -3*t**3 + 21*t**2. Let a(b) = 11*b - 19*b - 46*b + 53*b. What is 2*a(k) - s(k)?
3 | {
"pile_set_name": "DM Mathematics"
} |
+ 1)*(2*v + 1)/3
Suppose -321*n + 633 = 207*n - 829 + 406. Suppose -5*z + 15 = -10. Solve 24*q**4 + 33/2*q - 21/2*q**z - 21*q**n - 6*q**3 - 3 = 0 for q.
-1, 2/7, 1
Factor 61357/3*h**2 + 49/12*h**4 + 274576/3 + 595*h**3 - 89080*h.
(h - 2)**2*(7*h + 524)**2/12
Let b(w) be the second derivative of -w**6/15 + 2*w**5/5 - 5*w**4/6 + 2*w**3/3 + 1268*w. Suppose b(i) = 0. Calculate i.
0, 1, 2
Suppose 3/4*p**5 + 63*p**3 - 255/4*p + 261/2 + 66*p**4 - 393/2*p**2 = 0. What is p?
-87, -2, -1, 1
Factor 3/7*j**5 - 6/7*j**4 - 3*j**3 + 0 - 12/7*j**2 + 0*j.
3*j**2*(j - 4)*(j + 1)**2/7
Let v = 11 - 7. Let k(i) = -10*i**2. Let o(z) = -13*z**2. Let p(j) = 5*k(j) - 4*o(j). Let c(x) = 1. Let a(d) = v*c(d) - 2*p(d). Let a(y) = 0. Calculate y.
-1, 1
Let l(f) be the second derivative of -f**5/150 + f**4/6 + 11*f**3/15 + 17*f**2/15 + 4*f + 14. Solve l(x) = 0 for x.
-1, 17
Let p(v) be the second derivative of v**4/96 + 27*v**3/4 + 323*v**2/16 + 986*v. Suppose p(a) = 0. What is a?
-323, -1
Let o be (-5)/(-140)*-7 + 4/(-320)*-116. Solve -48/5*d**3 + 96/5 + o*d**5 - 48/5*d**2 + 96/5*d + 6/5*d**4 = 0 for d.
-2, -1, 2
Let k(j) be the third derivative of j**7/945 - j**6/540 - 2*j**5/45 - 2*j**2 - 7*j + 23. Factor k(d).
2*d**2*(d - 4)*(d + 3)/9
Let v = -15733/152 + 1988/19. Suppose -r + 8 = -2*o, -5*r - 2*o = -7*o - 25. Determine u, given that v + 3/2*u + 3/8*u**r = 0.
-3, -1
Determine k so that 364/5*k - 34 + 2/5*k**4 + 4*k**3 - 216/5*k**2 = 0.
-17, 1, 5
Let v(l) = -l**5 + l**3 - 22*l**2 - 1. Let h(q) = 5*q**5 - 20*q**4 + q**3 + 194*q**2 - 6*q - 105. Let a(r) = -2*h(r) - 6*v(r). Determine t, given that a(t) = 0.
-2, -1, 1, 3, 9
Let n be (-2)/(-2) - (1407/9380 + 6/(-15)). Factor 0 + k**2 + k - 13/4*k**3 + n*k**4.
k*(k - 2)*(k - 1)*(5*k + 2)/4
Let n(c) = 72*c + 283. Let a be n(-6). Let u = -145 - a. Factor 0 + 0*p + 0*p**2 - 4/7*p**u + 4/7*p**3.
-4*p**3*(p - 1)/7
Let p be (-1)/3*1 - 76/(-3). Let z = p + -21. Factor -u + 2*u + z + u - 2*u**2 + 0*u.
-2*(u - 2)*(u + 1)
Let l(o) be the second derivative of o**6/120 - 3*o**5/20 - 5*o**4/12 - 50*o**2 - 2*o + 38. Let x(y) be the first derivative of l(y). Find q such that x(q) = 0.
-1, 0, 10
Suppose 2*r + 5*u = 10, 5*r + 1322*u = 1323*u - 2. Let -3/4*b**4 + 0 + 3/4*b**2 + 0*b + r*b**3 = 0. What is b?
-1, 0, 1
Let v(s) be the second derivative of 1/28*s**7 + 0*s**2 + 0*s**6 + 4*s - 2*s**3 + 1 - 33/40*s**5 - 9/4*s**4. Solve v(q) = 0.
-2, -1, 0, 4
Suppose 3 - 94*n**2 - 9*n + 36 + 5 + 43*n**2 + 46*n**2 = 0. Calculate n.
-4, 11/5
Let k(g) = 5*g**5 + 7*g**4 + 11*g**3 - 8*g**2 - 24*g - 7. Let u(z) = 2*z**5 + 3*z**4 + 6*z**3 - 4*z**2 - 12*z - 3. Let m(d) = 6*k(d) - 14*u(d). Solve m(l) = 0.
-3, -1, 0, 2
What is h in -140013 - 24044 - 1521*h - 4*h**2 - 129707 - 647*h = 0?
-271
Let j(d) be the second derivative of -d**5/570 + 4*d**4/57 - 64*d**3/57 - 19*d**2/2 + 75*d. Let k(a) be the first derivative of j(a). Let k(t) = 0. Calculate t.
8
Let r(v) be the first derivative of -20/27*v**3 + 0*v**4 + 8/45*v**5 + 4/3*v + 1/9*v**2 + 53 - 1/27*v**6. Let r(b) = 0. Calculate b.
-1, 1, 2, 3
Let y(c) be the second derivative of -c**4/42 + 296*c**3/21 - 84*c**2 + c + 1051. Determine p, given that y(p) = 0.
2, 294
Let v(b) = -186*b**2 - 15*b - 33. Let n be v(-3). Let r = 1664 + n. Let 12/7*x**5 + 0 + 45/7*x**3 + 3*x**r + 3/7*x + 39/7*x**4 = 0. What is x?
-1, -1/4, 0
Let r(v) be the third derivative of 53/15*v**5 + 44/105*v**8 + 16/75*v**7 - 89/30*v**6 - 28/15*v**4 + 34 + v**2 + 8/15*v**3 + 0*v. Suppose r(x) = 0. What is x?
-2, 2/11, 1/4, 1
Suppose 15*n = 2*n + n. Let a be 3/1 - (-16)/8. Let -4/9*i**4 + n + 0*i**3 + 0*i - 2/9*i**a + 0*i**2 = 0. What is i?
-2, 0
Find w, given that 52 + 308/3*w + 34/3*w**3 - 1/3*w**4 + 187/3*w**2 = 0.
-2, -1, 39
Let f(a) be the third derivative of -60*a**2 + 1/12*a**5 + 0*a - 25/3*a**3 + 0 - 15/8*a**4. Find b such that f(b) = 0.
-1, 10
Let n(g) = -12438*g - 124372. Let w be n(-10). Determine m, given that 1/3*m**5 + 28/3*m - 2*m**2 - 11/3*m**3 + 0*m**4 + w = 0.
-2, -1, 2, 3
Let o(i) be the first derivative of i**6/16 + 93*i**5/40 - 9*i**4/32 - 91*i**3/8 + 93*i**2/8 + 4091. Solve o(z) = 0 for z.
-31, -2, 0, 1
Let x = -1765 - -1773. Suppose x + 34 = 21*j. Factor 0*c + 0 - 2/3*c**j.
-2*c**2/3
Let a(d) be the third derivative of 0*d + 3/10*d**6 + 0 + 2/105*d**7 - 25/6*d**4 - 1/5*d**5 + 139*d**2 + 12*d**3. Factor a(v).
4*(v - 1)**2*(v + 2)*(v + 9)
Let y = 107786/407 - 9792/37. Factor 0*s**2 - y*s + 0 + 2/11*s**3.
2*s*(s - 1)*(s + 1)/11
Let j(p) = 21*p**2 - 84*p + 90. Suppose 12*z = 10*z - 4. Let s(y) = -5*y**2 + 21*y - 22. Let o(l) = z*j(l) - 9*s(l). Let o(a) = 0. Calculate a.
1, 6
Suppose -56/15*v**3 + 2/15*v**4 + 896*v + 7680 - 568/15*v**2 = 0. What is v?
-10, 24
Let g = -4637 - -4641. Let v(h) be the second derivative of -9/4*h**g + 1/10*h**6 - 3/20*h**5 + 0 - 11/2*h**3 - 14*h - 6*h**2. Find t, given that v(t) = 0.
-1, 4
Find i, given that -138*i**2 - 672 + 1520/3*i - 2/3*i**4 + 16*i**3 = 0.
4, 7, 9
Suppose -735*b - 831*b - 22 = -6286. Determine r, given that -1/4*r**b + 9/4*r**3 - 9/4*r + 1/4*r**2 + 0 = 0.
-1, 0, 1, 9
Suppose -227*v + 174*v + 106 = 0. Factor -5/3*j - v + 1/3*j**2.
(j - 6)*(j + 1)/3
Let v(l) be the first derivative of 2/45*l**5 - 2/3*l**2 + 0*l - 183 + 0*l**4 - 14/27*l**3. Factor v(d).
2*d*(d - 3)*(d + 1)*(d + 2)/9
Suppose 225 - 211 = -2*b. Let h be (-48)/40*(b + 2)/10. Find c such that -2/5*c + h*c**2 - 1/5 = 0.
-1/3, 1
Let d(q) = -2*q + 317. Let c be d(0). Let -11110*y**2 - 1870*y**3 - c*y**3 - y**5 - 8573*y**2 - 81*y**4 = 0. What is y?
-27, 0
Let j(m) = 3*m**2 + 440*m - 507. Let s(g) = 4*g**2 + 435*g - 511. Let f(k) = -9*j(k) + 8*s(k). Factor f(r).
5*(r - 95)*(r - 1)
Let h(m) = 4*m**4 - 4*m**3 - 233*m**2 - 567*m. Let q(r) = -2*r**4 + 2*r**3 + 117*r**2 + 283*r. Let v(n) = 5*h(n) + 9*q(n). Factor v(g).
2*g*(g - 9)*(g + 4)**2
Let w = -31293 + 156477/5. Let z = 104/35 + -18/7. Determine m so that -8/5*m**4 + 0 - 2/5*m**5 - z*m - w*m**3 - 8/5*m**2 = 0.
-1, 0
Factor 1/6*v**3 + 4*v + 7/3*v**2 + 0.
v*(v + 2)*(v + 12)/6
Suppose 3/4*i**2 - 3/4*i + 0 = 0. Calculate i.
0, 1
Let v(g) be the third derivative of -2/105*g**5 + 0*g**3 + 0 + 0*g + 27*g**2 + 1/42*g**4 + 4/735*g**7 - 1/210*g**6. Determine k so that v(k) = 0.
-1, 0, 1/2, 1
Suppose -2*r + 50*p = 45*p + 1, -4*r + 4*p + 4 = 0. Let j = 986 + -858. Factor j*w + 2/3*w**3 + 16*w**r + 1024/3.
2*(w + 8)**3/3
Let d = 20341/3 - 6780. Let w(r) be the first derivative of 1/8*r**4 + d*r**3 - 10 + 0*r + 1/4*r**2. Factor w(j).
j*(j + 1)**2/2
Let v(u) be the first derivative of -u**6/420 + u**5/70 + 13*u**4/84 - 5*u**3/7 - 72*u**2 - 3. Let k(f) be the second derivative of v(f). Factor k(n).
-2*(n - 5)*(n - 1)*(n + 3)/7
Factor -t**2 + 68 + 58*t - 18 - 53*t.
-(t - 10)*(t + 5)
Determine y so that -14682*y**2 - 18*y**4 - 193*y**3 + 153216*y + 19*y**4 - 4*y**4 + 577*y**3 - 477603 = 0.
7, 57
Suppose -120/7*j + 675/7 - 3/7*j**2 = 0. What is j?
-45, 5
Factor 0 + 474*v**2 + 4/3*v**3 + 710/3*v.
2*v*(v + 355)*(2*v + 1)/3
Let d be (4/(-8))/(2/(-8)). Find p such that 5*p**4 + 11*p**3 + 21*p - 35*p**d - 2*p - p**3 + p = 0.
-4, 0, 1
Suppose 5*v**4 - 38*v**2 + 261*v - 31*v - 12*v**3 - 57*v**2 - 8*v**3 + 59 - 179 = 0. What is v?
-4, 1, 6
Let y be (0 + 15/6)*(278/240 + 357/8568). Factor -82/5*a - 44/5*a**2 - 8 - 2/5*a**y.
-2*(a + 1)**2*(a + 20)/5
Let s(f) be the first derivative of -49 + 0*f - 1/3*f**3 - f**2. Let s(j) = 0. Calculate j.
-2, 0
Let h(d) be the first derivative of 2*d**6/27 + 26*d**5/45 - 28*d**4/9 - 206*d**3/27 - 4*d**2 - 2193. Determine r, given that h(r) = 0.
-9, -1, -1/2, 0, 4
Suppose -243*f + 223*f = -83 - 17. Let -56/5*h**4 - 134/5*h**2 + 129/5*h**3 + 12*h - 8/5 + 9/5*h**f = 0. What is h?
2/9, 1, 2
Let x(f) be the first derivative of f**3/5 + 141*f**2/10 + 1026*f/5 + 5870. Factor x(i).
3*(i + 9)*(i + 38)/5
Let d(c) be the second derivative of 2*c**6/15 + 48*c**5/5 + 622*c**4/3 + 736*c**3 + 1058*c**2 - c + 2472. Factor d(b).
4*(b + 1)**2*(b + 23)**2
Let 2*w**4 + 39*w + 10178076*w**2 - 3*w**4 - 10178047*w**2 - 11*w**3 = 0. What is w?
-13, -1, 0, 3
Let x(v) be the second derivative of -v**6/540 + v**5/30 + 5*v**4/54 - 13*v**2 - 100*v - 1. Let l(b) be the first derivative of x(b). Let l(y) = 0. What is y?
-1, 0, 10
Let j(m) be the first derivative of -10 + 0*m**2 + 0*m**4 - 1/2*m** | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 159 is divided by 26.
3
What is the remainder when 5375 is divided by 256?
255
Calculate the remainder when 197 is divided by 53.
38
Calculate the remainder when 440 is divided by 13.
11
What is the remainder when 246 is divided by 3?
0
Calculate the remainder when 70 is divided by 45.
25
Calculate the remainder when 143 is divided by 34.
7
What is the remainder when 394 is divided by 19?
14
Calculate the remainder when 1279 is divided by 16.
15
Calculate the remainder when 87 is divided by 38.
11
What is the remainder when 360 is divided by 5?
0
What is the remainder when 567 is divided by 15?
12
What is the remainder when 6491 is divided by 15?
11
What is the remainder when 48 is divided by 13?
9
What is the remainder when 228 is divided by 58?
54
What is the remainder when 437 is divided by 215?
7
Calculate the remainder when 272 is divided by 10.
2
What is the remainder when 969 is divided by 170?
119
Calculate the remainder when 213 is divided by 27.
24
Calculate the remainder when 1114 is divided by 5.
4
What is the remainder when 114 is divided by 3?
0
Calculate the remainder when 32997 is divided by 15.
12
What is the remainder when 496 is divided by 36?
28
What is the remainder when 126 is divided by 16?
14
Calculate the remainder when 359 is divided by 13.
8
What is the remainder when 540 is divided by 252?
36
Calculate the remainder when 76 is divided by 11.
10
Calculate the remainder when 25 is divided by 13.
12
Calculate the remainder when 111 is divided by 31.
18
What is the remainder when 794 is divided by 6?
2
Calculate the remainder when 172 is divided by 88.
84
Calculate the remainder when 626 is divided by 75.
26
What is the remainder when 25 is divided by 11?
3
What is the remainder when 420 is divided by 59?
7
Calculate the remainder when 3699 is divided by 460.
19
Calculate the remainder when 18 is divided by 1.
0
What is the remainder when 468 is divided by 111?
24
What is the remainder when 5821 is divided by 56?
53
Calculate the remainder when 277 is divided by 27.
7
Calculate the remainder when 3660 is divided by 51.
39
Calculate the remainder when 565 is divided by 129.
49
What is the remainder when 7562 is divided by 62?
60
Calculate the remainder when 664 is divided by 111.
109
Calculate the remainder when 455 is divided by 31.
21
Calculate the remainder when 158 is divided by 34.
22
What is the remainder when 803 is divided by 240?
83
What is the remainder when 9642 is divided by 72?
66
Calculate the remainder when 83 is divided by 21.
20
Calculate the remainder when 10847 is divided by 32.
31
Calculate the remainder when 48 is divided by 10.
8
What is the remainder when 2497 is divided by 1243?
11
What is the remainder when 22 is divided by 14?
8
What is the remainder when 165 is divided by 86?
79
Calculate the remainder when 1682 is divided by 1673.
9
What is the remainder when 111 is divided by 69?
42
What is the remainder when 17247 is divided by 138?
135
Calculate the remainder when 505 is divided by 58.
41
What is the remainder when 16598 is divided by 50?
48
What is the remainder when 184 is divided by 62?
60
Calculate the remainder when 3012 is divided by 45.
42
What is the remainder when 48 is divided by 30?
18
Calculate the remainder when 4525 is divided by 151.
146
What is the remainder when 1245 is divided by 50?
45
What is the remainder when 2956 is divided by 99?
85
Calculate the remainder when 184 is divided by 37.
36
Calculate the remainder when 471 is divided by 43.
41
Calculate the remainder when 34 is divided by 21.
13
Calculate the remainder when 175 is divided by 44.
43
What is the remainder when 907 is divided by 10?
7
Calculate the remainder when 951 is divided by 56.
55
Calculate the remainder when 1189 is divided by 26.
19
What is the remainder when 4123 is divided by 1029?
7
Calculate the remainder when 779 is divided by 23.
20
Calculate the remainder when 235 is divided by 21.
4
What is the remainder when 336 is divided by 17?
13
What is the remainder when 299 is divided by 75?
74
Calculate the remainder when 400 is divided by 15.
10
Calculate the remainder when 1646 is divided by 328.
6
What is the remainder when 571 is divided by 52?
51
Calculate the remainder when 589 is divided by 16.
13
What is the remainder when 171 is divided by 29?
26
What is the remainder when 779 is divided by 30?
29
What is the remainder when 52 is divided by 11?
8
Calculate the remainder when 950 is divided by 56.
54
What is the remainder when 124 is divided by 21?
19
Calculate the remainder when 1097 is divided by 44.
41
Calculate the remainder when 89 is divided by 43.
3
Calculate the remainder when 411 is divided by 84.
75
Calculate the remainder when 139 is divided by 136.
3
Calculate the remainder when 1172 is divided by 25.
22
What is the remainder when 1517 is divided by 19?
16
What is the remainder when 243 is divided by 42?
33
What is the remainder when 237 is divided by 31?
20
Calculate the remainder when 288 is divided by 97.
94
Calculate the remainder when 204 is divided by 65.
9
What is the remainder when 3420 is divided by 286?
274
Calculate the remainder when 176 is divided by 10.
6
Calculate the remainder when 42 is divided by 10.
2
Calculate the remainder when 218 is divided by 37.
33
What is the remainder when 579 is divided by 211?
157
Calculate the remainder when 14 is divided by 4.
2
What is the remainder when 599 is divided by 67?
63
What is the remainder when 132 is divided by 35?
27
What is the remainder when 49 is divided by 17?
15
Calculate the remainder when 259 is divided by 258.
1
Calculate the remainder when 1109 is divided by 30.
29
Calculate the remainder when 302 is divided by 81.
59
What is the remainder when 1379 is divided by 198?
191
Calculate the remainder when 2445 is divided by 175.
170
Calculate the remainder when 1297 is divided by 637.
23
What is the remainder when 48 is divided by 29?
19
What is the remainder when 731 is divided by 32?
27
Calculate the remainder when 935 is divided by 18.
17
Calculate the remainder when 197 is divided by 63.
8
What is the remainder when 45 is divided by 22?
1
What is the remainder when 3279 is divided by 67?
63
What is the remainder when 156 is divided by 17?
3
What is the remainder when 106 is divided by 35?
1
What is the remainder when 810 is divided by 212?
174
Calculate the remainder when 9249 is divided by 37.
36
What is the remainder when 123 is divided by 4?
3
What is the remainder when 6798 is divided by 2260?
18
Calculate the remainder when 227 is divided by 37.
5
Calculate the remainder when 139 is divided by 79.
60
Calculate the remainder when 748 is divided by 15.
13
What is the remainder when 2666 is divided by 36?
2
What is the remainder when 2638 is divided by 8?
6
What is the remainder when 191 is divided by 52?
35
Calculate the remainder when 181 is divided by 48.
37
Calculate the remainder when 1054 is divided by 173.
16
What is the remainder when 394 is divided by 53?
23
Calculate the remainder when 67 is divided by 14.
11
Calculate the remainder when 184 is divided by 108.
76
What is the remainder when 1511 is divided by 17?
15
Calculate the remainder when 157 is divided by 7.
3
Calculate the remainder when 43799 is divided by 121.
118
Calculate the remainder when 1126 is divided by 49.
48
Calculate the remainder when 486 is divided by 146.
48
What is the remainder when 1758 is divided by 875?
8
Calculate the remainder when 4417 is divided by 26.
23
What is the remainder when 148 is divided by 72?
4
What is the remainder when 1603 is divided by 126?
91
Calculate the remainder when 2387 is divided by 104.
99
What is the remainder when 944 is divided by 63?
62
What is the remainder when 268 is divided by 224?
44
Calculate the remainder when 691 is divided by 329.
33
Calculate the remainder when 308 is divided by 24.
20
Calculate the remainder when 19 is divided by 11.
8
Calculate the remainder when 797 is divided by 80.
77
Calculate the remainder when 2399 is divided by 80.
79
Calculate the remainder when 73 is divided by 61.
12
What is the remainder when 125 is divided by 35?
20
Calculate the remainder when 553 is divided by 111.
109
What is the remainder when 126 is divided by 4 | {
"pile_set_name": "DM Mathematics"
} |
038
Let -2*m**4/3 + 42068*m**3/3 - 601914*m**2 + 3610596*m - 3022704 = 0. Calculate m.
1, 6, 36, 20991
Factor u**3/4 - 1861*u**2/2 + 377295*u/4 - 1850607/2.
(u - 3618)*(u - 93)*(u - 11)/4
Factor w**2/2 + 141451*w/2 + 3322994.
(w + 47)*(w + 141404)/2
Find y such that -5*y**3 - 40887*y**2 + 270086*y + 114576 = 0.
-8184, -2/5, 7
Factor -d**2 + 81929412*d + 81929413.
-(d - 81929413)*(d + 1)
Find v, given that 5*v**5 - 120435*v**4 + 968174245*v**3 - 2607227052705*v**2 + 77402516292090*v - 144383867840520 = 0.
2, 28, 8019
Find j, given that -3*j**2 + 9505437*j = 0.
0, 3168479
Let 3*w**4/8 + 2835*w**3/8 - 11661*w**2/8 - 257607*w/8 + 697515/4 = 0. What is w?
-949, -10, 7
Determine g so that g**2/5 + 19738*g/5 - 4168923/5 = 0.
-19947, 209
Find k such that 21*k**4/5 - 8196*k**3/5 - 2348337*k**2/5 + 3030468*k/5 - 673956/5 = 0.
-193, 2/7, 1, 582
Determine u, given that -34*u**5/11 + 602*u**4/11 + 1812*u**3/11 - 24544*u**2/11 - 85696*u/11 - 23040/11 = 0.
-4, -5/17, 8, 18
Find d such that -d**4/5 + 4344*d**3/5 + 4346*d**2/5 - 4344*d/5 - 869 = 0.
-1, 1, 4345
Factor 4*n**2 - 486464*n + 972912.
4*(n - 121614)*(n - 2)
What is l in 4*l**4 + 4203896*l**3 + 1104558960292*l**2 + 6627240256992*l + 9940803633216 = 0?
-525484, -3
Factor -96*v**2/17 - 640126*v/17 + 13336/17.
-2*(v + 6668)*(48*v - 1)/17
What is f in 406*f**3/11 + 119668*f**2/11 - 30094*f/11 - 1180/11 = 0?
-295, -1/29, 2/7
Determine l so that -l**4 + 853*l**3 + 87372*l**2 + 2528820*l + 18394992 = 0.
-42, -11, 948
Determine u so that -3*u**2/2 + 999*u/2 - 13635 = 0.
30, 303
Factor -3*s**2 - 18444*s - 23728185.
-3*(s + 1833)*(s + 4315)
Let 3*a**2 - 1777485*a - 12442542 = 0. Calculate a.
-7, 592502
Factor 4*w**2/3 + 350690372*w/3 - 116896792.
4*(w - 1)*(w + 87672594)/3
Determine b so that 5*b**2 + 2725960*b - 357186565 = 0.
-545323, 131
Factor 7442*z**2/13 - 6196624*z/13 + 1289913632/13.
2*(61*z - 25396)**2/13
Factor -3*y**4 + 119691336*y**3 - 1193834659455408*y**2.
-3*y**2*(y - 19948556)**2
Factor -2*c**2/5 - 37512*c/5 + 1210624.
-2*(c - 160)*(c + 18916)/5
Find s, given that -s**2/9 + 56732*s/9 - 2267680/9 = 0.
40, 56692
Let 267*v**5/7 - 984*v**4 + 41049*v**3/7 - 14376*v**2/7 - 77268*v/7 - 14688/7 = 0. Calculate v.
-1, -18/89, 2, 8, 17
Factor -2*q**4/7 - 3164516*q**3/7.
-2*q**3*(q + 1582258)/7
Suppose 2*l**3 + 6080*l**2 + 114938*l + 422940 = 0. Calculate l.
-3021, -14, -5
What is b in -4*b**5 - 1575772*b**4 + 12606360*b**3 - 28364472*b**2 + 108*b + 42546708 = 0?
-393951, -1, 3
Suppose k**3/4 + 459395*k**2/4 + 4593650*k + 45935500 = 0. Calculate k.
-459355, -20
Factor 18*l**4/7 + 2690*l**3 + 6738642*l**2/7 + 881903754*l/7 + 20414106756/7.
2*(l + 339)**3*(9*l + 262)/7
Find v such that 5*v**2 + 37610*v - 11286895 = 0.
-7811, 289
Factor -k**3 - 3863*k**2 - 927754*k - 3649272.
-(k + 4)*(k + 253)*(k + 3606)
Factor 2*c**3/9 - 4444736*c**2/9.
2*c**2*(c - 2222368)/9
Determine w, given that 4*w**2 - 7853528*w = 0.
0, 1963382
Find n, given that -5*n**4 + 912080*n**3 + 19155605*n**2 + 51082180*n + 32838660 = 0.
-18, -2, -1, 182437
Find l such that 2*l**3 + 1618048*l**2 + 327295510440*l + 14397870088800 = 0.
-404490, -44
Factor 225907238209*b**2/4 - 475297*b + 1.
(475297*b - 2)**2/4
Factor g**2/8 + 25741325*g + 1325231625511250.
(g + 102965300)**2/8
Solve -d**5/6 - 44*d**4/3 + 109*d**3/2 + 80633*d**2/3 + 1170512*d/3 - 417088 = 0 for d.
-56, -19, 1, 42
Factor 1875*v**3 - 14043050*v**2 - 15728804*v/3 - 1468040/3.
(v - 7490)*(75*v + 14)**2/3
Determine s so that 2*s**5/17 - 2546*s**4/17 + 145994*s**3/17 - 525638*s**2/17 - 976372*s/17 + 1358560/17 = 0.
-2, 1, 5, 56, 1213
Solve 3*g**4 - 1458*g**3 + 15699*g**2 - 11340*g - 28500 = 0 for g.
-1, 2, 10, 475
What is c in 202*c**5/5 - 57356*c**4/5 + 501188*c**3/5 - 1250704*c**2/5 + 151434*c + 9900 = 0?
-6/101, 1, 3, 5, 275
Find z such that -39551521*z**2/4 - 4339410*z - 476100 = 0.
-1380/6289
Find g such that -g**5/5 + 5783*g**4/5 - 1156*g**3 - 11564*g**2/5 = 0.
-1, 0, 2, 5782
Solve 3*j**4 - 1434*j**3 - 70593*j**2 - 895896*j - 2546640 = 0 for j.
-27, -15, -4, 524
Factor 3*z**2 - 42063*z + 15709824.
3*(z - 13637)*(z - 384)
Solve -v**3 - 3019898*v**2 - 15099469*v - 12079572 = 0 for v.
-3019893, -4, -1
Let -2*p**4 + 2130*p**3 - 31392*p**2 - 113400*p = 0. Calculate p.
-3, 0, 18, 1050
Factor 5*u**2/4 - 2481455*u/2 - 4962915/4.
5*(u - 992583)*(u + 1)/4
Determine s, given that 2*s**3 - 9682*s**2 - 263808*s + 4556448 = 0.
-39, 12, 4868
Determine f so that -4*f**2 - 9916*f + 72194760 = 0.
-5665, 3186
Determine n, given that -3*n**4/4 - 144*n**3 + 33465*n**2/4 + 270369*n/2 - 302670 = 0.
-236, -15, 2, 57
Find g such that -3*g**2 - 1382815320*g - 159348184102225200 = 0.
-230469220
Factor -x**2/2 + 4106*x - 188347/2.
-(x - 8189)*(x - 23)/2
Let -3125*v**3 + 74500*v**2 - 243705*v/4 + 50715/4 = 0. What is v?
21/50, 23
Factor -q**3/4 - 15847*q**2/4 - 31691*q/4 - 15845/4.
-(q + 1)**2*(q + 15845)/4
Factor 4*j**3/9 - 7497200*j**2/9 + 3513000490000*j/9.
4*j*(j - 937150)**2/9
Find y, given that -y**2 + 118250*y + 3666711 = 0.
-31, 118281
Let -69*o**3/2 + 166419*o**2/2 - 50167188*o - 6544962 = 0. What is o?
-3/23, 1206
Suppose -w**2/2 - 2285*w/2 + 1206903 = 0. Calculate w.
-3071, 786
Let 20*x**5/7 + 14764*x**4/7 - 25304*x**3 - 95056*x**2/7 + 708192*x/7 + 144000/7 = 0. What is x?
-750, -2, -1/5, 2, 12
Factor -q**3/3 - 94067*q**2/3 + 2446249*q/3 - 15901717/3.
-(q - 13)**2*(q + 94093)/3
Solve -6*i**4/11 - 16300*i**3/11 - 27144*i**2/11 + 16300*i/11 + 27150/11 = 0.
-2715, -5/3, -1, 1
Factor 4*z**3 + 535196*z**2 - 15524048*z.
4*z*(z - 29)*(z + 133828)
Suppose 3*u**2/2 - 97557*u + 9553383/2 = 0. Calculate u.
49, 64989
Suppose -3*d**3/5 + 317874*d**2/5 + 1271532*d/5 + 1271544/5 = 0. Calculate d.
-2, 105962
Factor -r**4 - 623882*r**3 - 97302196297*r**2 + 1556954928144*r - 6227979430464.
-(r - 8)**2*(r + 311949)**2
Solve 4*q**2 + 42288*q + 13598720 = 0 for q.
-10240, -332
Determine f so that -2637*f**5 - 146127615*f**4 - 49706364*f**3 - 332484*f**2 = 0.
-55414, -1/3, -2/293, 0
Factor -q**3/2 + 295*q**2 + 84137*q/2 + 82953.
-(q - 709)*(q + 2)*(q + 117)/2
Solve -82*o**4 - 1394411*o**3 - 11168349*o**2 - 22436056*o - 271952 = 0 for o.
-16997, -4, -1/82
Suppose -3*c**4/4 + 724371*c**3/4 + 9*c**2/4 - 2173119*c/4 + 724371/2 = 0. What is c?
-2, 1, 241457
Factor -18*j**3/7 + 2144*j**2/7 - 13984*j/7 - 3419392/7.
-2*(j - 76)**2*(9*j + 296)/7
Let -3*p**3 - 17837688*p**2 = 0. Calculate p.
-5945896, 0
Factor -o**2/3 + 10841*o/3 + 4055486/3.
-(o - 11203)*(o + 362)/3
Factor 3*r**3/4 - 42795*r**2 + 609871104*r + 17109958656.
3*(r - 28544)**2*(r + 28)/4
Solve -3*l**3/5 + 930*l**2 - 596493*l/5 - 2000754 = 0.
-15, 158, 1407
Let -5*d**4 - 290*d**3 + 33545*d**2 - 218890*d = 0. What is d?
-118, 0, 7, 53
Solve 90*f**4 - 626*f**3 + 2600*f**2/3 + 232*f/3 - 160/3 = 0 for f.
-4/15, 2/9, 2, 5
Let 3*q**2/5 + 75072*q/5 + 1107780 = 0. Calculate q.
-24950, -74
What is b in b**5/8 + 1295*b**4/8 + 632983*b**3/8 + 139696597*b**2/8 + 1532860714*b + 34290709453/2 = 0?
-322, -319, -13
Suppose 2*q**2/9 - 1717544*q + 3318702065928 = 0. Calculate q.
3864474
Determine a, given that 254*a**2 - 246880*a - 7776 = 0.
-4/127, 972
Let 13*v**2/3 + 42812*v/3 + 3293 = 0. Calculate v.
-3293, -3/13
Factor 4*b**3/7 + 2416136*b**2/7 + 364854657008*b/7 - 729718978592/7.
4*(b - 2)*(b + 302018)**2/7
Factor -1351*i**3 + 5584*i**2 - 6124*i + 720.
-(i - 2)**2*(1351*i - 180)
Let 2*o**5/5 - 16576*o**4/5 + 132512*o**3/5 - 52992*o**2 = 0. Calculate o.
0, 4, 8280
Determine x, given that -2*x**4/5 + 12140*x**3 - 613818408*x**2/5 + 2065492101124*x/5 + 26955266040586/5 = 0.
-13, 10121
Find o, given that -o**3/8 - 87637*o**2/8 - 239332490*o + 29603861400 = 0.
-43880, 123
Determine h so that -4*h**2 - 24367896*h - 37112147216676 = 0.
-3045987
Solve 5*y**5/2 - 2427*y**4/2 + 98415*y**3/2 - 226613*y**2/2 + 83832*y - 18522 = 0 for y.
2/5, 1, 42, 441
Suppose 5*h**5 + 16295*h**4 + 13590395*h**3 + 511885205*h**2 + 5177051600*h + 4678740500 = 0. What is h?
-1610, -19, -1
Find l, given that -460*l**5/7 + 28843072*l**4/7 + 25081340*l**3/7 - 537456*l**2 = 0.
-1, 0, 3/23, 313516/5
What is q in 4*q**4 + 5907664*q**3 + 2908494607320*q**2 + 477387686714533200*q + 29109827722024786500 = 0?
-492285, -61
Solve -2*v**4/7 + 2638*v**3/7 - 117114*v**2/7 - 2638*v/7 + 117116/7 = 0 for v.
-1, 1, 46, 1273 | {
"pile_set_name": "DM Mathematics"
} |
d 3:32 PM?
194
What is 270 minutes after 4:38 PM?
9:08 PM
How many minutes are there between 6:33 PM and 11:33 PM?
300
How many minutes are there between 5:11 PM and 7:49 PM?
158
How many minutes are there between 11:42 PM and 6:07 AM?
385
How many minutes are there between 11:08 AM and 7:58 PM?
530
How many minutes are there between 5:11 PM and 8:07 PM?
176
How many minutes are there between 2:40 PM and 7:23 PM?
283
What is 503 minutes after 8:17 PM?
4:40 AM
What is 304 minutes after 2:02 PM?
7:06 PM
What is 685 minutes after 4:36 AM?
4:01 PM
How many minutes are there between 7:20 AM and 6:15 PM?
655
What is 54 minutes after 8:11 AM?
9:05 AM
How many minutes are there between 9:26 PM and 5:26 AM?
480
What is 260 minutes before 7:30 PM?
3:10 PM
How many minutes are there between 9:16 PM and 2:34 AM?
318
What is 318 minutes after 10:55 AM?
4:13 PM
What is 408 minutes before 4:06 AM?
9:18 PM
What is 6 minutes after 11:02 AM?
11:08 AM
What is 25 minutes after 11:24 AM?
11:49 AM
What is 107 minutes before 9:55 AM?
8:08 AM
How many minutes are there between 12:30 PM and 6:23 PM?
353
What is 152 minutes before 9:05 PM?
6:33 PM
How many minutes are there between 3:38 PM and 11:51 PM?
493
What is 176 minutes before 10:03 AM?
7:07 AM
What is 144 minutes after 5:56 PM?
8:20 PM
What is 687 minutes after 10:43 PM?
10:10 AM
What is 296 minutes after 4:33 AM?
9:29 AM
What is 665 minutes after 2:59 AM?
2:04 PM
What is 657 minutes after 4:19 PM?
3:16 AM
How many minutes are there between 2:58 PM and 4:26 PM?
88
How many minutes are there between 8:51 AM and 11:31 AM?
160
How many minutes are there between 11:19 AM and 3:56 PM?
277
What is 553 minutes after 3:15 PM?
12:28 AM
How many minutes are there between 10:55 AM and 5:06 PM?
371
How many minutes are there between 8:19 AM and 11:43 AM?
204
How many minutes are there between 10:25 AM and 10:58 AM?
33
How many minutes are there between 5:27 AM and 2:47 PM?
560
How many minutes are there between 12:14 AM and 10:01 AM?
587
What is 463 minutes before 4:12 PM?
8:29 AM
What is 584 minutes before 6:59 PM?
9:15 AM
How many minutes are there between 8:51 AM and 9:26 AM?
35
What is 44 minutes after 12:21 AM?
1:05 AM
How many minutes are there between 6:18 AM and 6:12 PM?
714
What is 270 minutes before 9:25 PM?
4:55 PM
What is 661 minutes after 2:36 PM?
1:37 AM
What is 304 minutes after 7:56 PM?
1:00 AM
How many minutes are there between 10:30 AM and 7:47 PM?
557
What is 707 minutes before 9:57 PM?
10:10 AM
What is 492 minutes after 4:51 AM?
1:03 PM
How many minutes are there between 5:53 AM and 1:47 PM?
474
What is 693 minutes before 7:44 AM?
8:11 PM
How many minutes are there between 3:21 AM and 9:34 AM?
373
What is 249 minutes before 10:52 AM?
6:43 AM
How many minutes are there between 1:05 PM and 12:35 AM?
690
What is 704 minutes before 1:46 PM?
2:02 AM
How many minutes are there between 2:52 PM and 3:28 PM?
36
What is 595 minutes before 7:00 PM?
9:05 AM
How many minutes are there between 12:46 AM and 6:57 AM?
371
What is 104 minutes after 2:25 AM?
4:09 AM
What is 60 minutes before 3:14 PM?
2:14 PM
How many minutes are there between 1:50 AM and 12:02 PM?
612
What is 62 minutes before 12:22 AM?
11:20 PM
How many minutes are there between 5:30 PM and 12:10 AM?
400
What is 514 minutes after 6:11 AM?
2:45 PM
What is 430 minutes after 3:35 AM?
10:45 AM
How many minutes are there between 9:54 AM and 6:16 PM?
502
What is 709 minutes after 3:28 AM?
3:17 PM
What is 305 minutes after 4:50 AM?
9:55 AM
How many minutes are there between 5:49 AM and 9:20 AM?
211
How many minutes are there between 7:07 PM and 9:40 PM?
153
How many minutes are there between 5:56 AM and 8:02 AM?
126
How many minutes are there between 5:25 AM and 7:03 AM?
98
How many minutes are there between 9:23 PM and 6:55 AM?
572
How many minutes are there between 5:33 PM and 9:44 PM?
251
How many minutes are there between 6:19 AM and 12:03 PM?
344
How many minutes are there between 6:50 PM and 3:35 AM?
525
What is 376 minutes after 1:26 AM?
7:42 AM
What is 236 minutes after 7:55 PM?
11:51 PM
How many minutes are there between 6:58 PM and 5:53 AM?
655
How many minutes are there between 11:50 PM and 10:13 AM?
623
How many minutes are there between 5:37 AM and 12:37 PM?
420
What is 204 minutes after 8:16 PM?
11:40 PM
What is 52 minutes after 3:07 AM?
3:59 AM
How many minutes are there between 1:07 PM and 4:03 PM?
176
What is 705 minutes after 6:13 AM?
5:58 PM
How many minutes are there between 1:24 AM and 4:19 AM?
175
What is 578 minutes after 12:47 PM?
10:25 PM
How many minutes are there between 7:30 AM and 5:16 PM?
586
What is 197 minutes after 10:07 AM?
1:24 PM
What is 19 minutes after 2:10 AM?
2:29 AM
How many minutes are there between 2:20 AM and 4:49 AM?
149
How many minutes are there between 3:12 PM and 8:03 PM?
291
How many minutes are there between 12:36 AM and 4:50 AM?
254
What is 88 minutes after 11:45 PM?
1:13 AM
What is 707 minutes after 12:50 PM?
12:37 AM
What is 583 minutes after 8:47 PM?
6:30 AM
How many minutes are there between 3:14 AM and 1:21 PM?
607
What is 676 minutes before 7:51 PM?
8:35 AM
What is 448 minutes before 8:35 AM?
1:07 AM
What is 502 minutes before 10:18 AM?
1:56 AM
What is 627 minutes before 6:15 PM?
7:48 AM
How many minutes are there between 10:39 PM and 11:46 PM?
67
How many minutes are there between 12:53 AM and 9:41 AM?
528
How many minutes are there between 10:37 PM and 6:29 AM?
472
How many minutes are there between 12:41 AM and 6:12 AM?
331
How many minutes are there between 9:58 AM and 2:41 PM?
283
How many minutes are there between 9:49 AM and 10:49 AM?
60
How many minutes are there between 5:08 PM and 3:52 AM?
644
What is 503 minutes before 6:48 PM?
10:25 AM
What is 443 minutes after 8:42 PM?
4:05 AM
What is 185 minutes before 2:07 PM?
11:02 AM
How many minutes are there between 1:42 PM and 3:04 PM?
82
What is 704 minutes after 5:23 PM?
5:07 AM
How many minutes are there between 9:52 PM and 8:19 AM?
627
How many minutes are there between 3:30 AM and 9:36 AM?
366
How many minutes are there between 6:21 AM and 5:33 PM?
672
What is 423 minutes after 2:07 PM?
9:10 PM
What is 399 minutes after 9:57 AM?
4:36 PM
What is 104 minutes before 6:06 AM?
4:22 AM
How many minutes are there between 7:31 PM and 8:19 PM?
48
How many minutes are there between 12:01 PM and 10:26 PM?
625
What is 459 minutes after 10:53 PM?
6:32 AM
What is 4 minutes after 11:13 AM?
11:17 AM
How many minutes are there between 1:29 PM and 2:22 PM?
53
What is 291 minutes after 9:43 PM?
2:34 AM
How many minutes are there between 8:49 AM and 6:44 PM?
595
What is 51 minutes after 4:59 PM?
5:50 PM
What is 59 minutes after 11:47 PM?
12:46 AM
How many minutes are there between 1:07 PM and 10:19 PM?
552
What is 496 minutes after 3:23 PM?
11:39 PM
What is 325 minutes before 5:11 PM?
11:46 AM
How many minutes are there between 12:08 AM and 7:33 AM?
445
How many minutes are there between 8:59 PM and 10:15 PM?
76
How many minutes are there between 6:47 AM and 6:20 PM?
693
What is 171 minutes after 9:28 AM?
12:19 PM
What is 405 minutes before 5:35 PM?
10:50 AM
How many minutes are there between 6:54 AM and 11:06 AM?
252
What is 643 minutes after 10:59 PM?
9:42 AM
How many minutes are there between 2:20 PM and 11:23 PM?
543
What is 92 minutes before 6:11 PM?
4:39 PM
What is 207 minutes after 8:41 AM?
12:08 PM
How many minutes are there between 4:52 PM and 10:34 PM?
342
How many minutes are there between 3:00 AM and 3:33 AM?
33
What is 243 minutes before 11:55 AM?
7:52 AM
How many minutes are there between 11:25 AM and 7:26 PM?
481
What is 324 minutes before 6:10 AM?
12:46 AM
How many minutes are there between 8:03 PM and 3:12 AM?
429
How many minutes are there between 4:38 PM and 9:08 PM?
270
How many minutes are there between 12:19 AM and 9:18 AM?
539
How many minutes are there between 7:07 PM and 12:35 AM?
328
What is 342 minutes after 5:46 AM?
11:28 AM
How many minutes are there between 6:42 AM and 4:30 PM?
588
What is 374 minutes after 5:29 PM?
11:43 PM
What is 344 minutes before 4:20 PM?
10:36 AM
What is 53 minutes before 6:58 PM?
6:05 PM
How many minutes are there between 1:17 PM and 12:59 AM?
702
What is 560 minutes after 11:21 PM?
8:41 AM
How many minutes | {
"pile_set_name": "DM Mathematics"
} |
264 = 0. Find the common denominator of 45/8 and (-6)/(g/308) + 1.
8
Let i = 7264/23 - 1049305/3312. Calculate the common denominator of i and -121/72.
144
Suppose p = 5*v - p - 35, 5*v - 5*p - 50 = 0. Suppose v*z + 24 = 44. Calculate the lowest common multiple of 4 and z.
4
Let b = -15/28 + 37/252. What is the common denominator of b and 95/18?
18
Let m = -8132 - -243839/30. Calculate the common denominator of m and -73/18.
90
Let v = 8 + 10. Calculate the common denominator of (-22)/v - -1 - 3185/450 and -107/20.
20
Suppose 0*f + 12 = 4*f. Suppose -3*g - 5*q = -29, -q + f + 4 = g. Suppose 0 = -g*x + 5*x - 32. What is the lowest common multiple of x and 10?
80
Let f = -226 - -1807/8. Let a = -55409/37240 - -12/931. Let n = a + f. Find the common denominator of n and -19/2.
10
Suppose -t + c = -78, 0*t - 4*c = 3*t - 206. What is the smallest common multiple of 2 and t?
74
Let k = -2428 - -29197/12. Find the common denominator of k and -113/30.
60
Suppose -f + 3*h + 15 = 0, -4*f - 28 = -8*f + 4*h. Suppose f*o - 15 - 12 = 0. What is the lowest common multiple of 6 and o?
18
Suppose -2*w + 370 = 3*f, 2*f - 13*w - 268 = -9*w. Calculate the lowest common multiple of f and 12.
252
Find the common denominator of -3*5/225*(-1185)/(-6) and 85/54.
54
Let b = 265438 - 6918110592/26063. Let f = 3883363/312756 + b. Calculate the common denominator of (-1)/2 - (-101)/(-20) and f.
60
What is the common denominator of 20/24 + (-1695)/900 and 17/20?
20
Calculate the lowest common multiple of 7/(-35)*-20 + 0 + 5 and 95.
855
What is the common denominator of 1001/28854 + (-12)/108 and -117/10?
2290
Let z(q) = -3*q - 3. Let p be z(-4). Suppose v - 79 = -p. Suppose 4*n - v = 2. What is the smallest common multiple of n and 22?
198
Let a(d) = d**2 + 8*d - 6. Let o be a(4). Let n = o - 18. Calculate the least common multiple of 21 and n.
168
Let g = -53899276063/1068 + 50467495. Let a = 3/89 + g. Calculate the common denominator of a and (-158)/(-10)*5/14.
84
Let m(r) = -r**3 - 6*r**2 - 3*r - 9. Let u be 4/8*0 + 10. Let c = u - -2. Calculate the lowest common multiple of m(-6) and c.
36
Let p = 2850 - 1957. Suppose 0 = 4*u - 12, -3*w = 2*w + u - p. Calculate the common denominator of 29/10 and (w/(-10))/(24/15).
40
Suppose l - 5*j - 29 = 0, -5*l - 3*j - 23 + 112 = 0. Let r = l - 19. Suppose -2*o + 2 = -r*o. Calculate the least common multiple of o and 3.
3
Suppose -3*p - 4*b - 1538728 = p, -b = 2*p + 769367. Let s be p/(-84) - (0 - 4). Let o = s - 4587. Find the common denominator of 61/16 and o.
48
Calculate the common denominator of (-2)/(-8) + (-117)/16 - -1 and -91/44.
176
Suppose g + z - 12 = 0, -2*z = -19*g + 14*g + 88. Calculate the least common multiple of g and 304.
304
Let n be 0 - -34*3789/364. Let m = n + -4522/13. Find the common denominator of 62/44 + (-6)/(-3) and m.
154
What is the common denominator of 5/28 and 2 + (-32)/24 - (-197)/60?
140
Suppose -5*o = -5*t + 270, -o + 99 = 2*t + 3. Suppose -3*f = -2 - 22. Calculate the lowest common multiple of t and f.
200
Let r(s) = -s**3 + 9*s**2 + 2*s - 1. Let b be r(9). Let z = b + -8. Calculate the least common multiple of z and 6.
18
Let n be (-765567941)/6855320 - 8/(-4). Let p = -2/171383 - n. Let d = p + -907/8. Find the common denominator of d and 49/16.
80
Let d = -51 + 27. Let g = 93 + -97. Find the common denominator of 11/2 and (-270)/d*1/g.
16
Find the common denominator of (127/(-54))/((-2)/(-3)) and 59/96.
288
Let b be 6 + (2 - -1) + -4. Suppose 15 = b*z, 5*v = -4*z + 14 + 8. Let f(r) = r**2 - 2. Calculate the lowest common multiple of 2 and f(v).
2
Let f = 146 - 215/2. Suppose c - 172 = -2*j, 0*j + 916 = 5*c - 4*j. Let h = -1087/6 + c. What is the common denominator of f and h?
6
What is the lowest common multiple of 33 and 179/3 - (0 + (-3)/9)?
660
Let q = -189149/28 + 6753. Calculate the common denominator of 37/77 and q.
308
Let r = -33142 - -1391867/42. Calculate the common denominator of 37/11 and r.
462
Let p = 7 - 4. Suppose -5*q + 129 = p*r, 18 = q - 0*q - 2*r. Suppose -8 + q = 2*s. What is the smallest common multiple of 10 and s?
40
Let l(c) = 2*c**3 - 14*c**2 + 6*c - 2. What is the smallest common multiple of 32 and l(7)?
160
Let r(u) be the third derivative of u**4/24 + 7*u**3/6 + 2*u**2. Let m be r(-6). What is the common denominator of ((-270)/20)/(21*m) and -117/20?
140
Let h = 6/51683 - 52923434/361781. Let u = h + 8493/56. Calculate the common denominator of -69/4 and u.
8
Let u = -6191/380 + 244/19. Let y = -76468 - -304221/4. Let m = y - -399. What is the common denominator of u and m?
20
Suppose 5*a + 3 = -37. Let t = a + 10. Calculate the least common multiple of (-1)/(t/(-4)*1) and 8.
8
Let q(p) = p**3 - 5*p**2 - 5*p - 6. Let o be q(6). Find the common denominator of 2 + o + 73/(-9) and -7 + (-37 - -33 - (-170)/16).
72
Let x(d) = -2*d**2 + 15*d + 2. Calculate the smallest common multiple of x(7) and 9.
9
Let y(o) = -o**2 - 19*o - 54. Let h be (-12)/(-4) - 1*16. What is the least common multiple of 10 and y(h)?
120
Suppose 225 = 5*o + 45. What is the smallest common multiple of 54 and o?
108
Let z(u) = u**2 - 30*u + 72. Calculate the lowest common multiple of 16 and z(28).
16
Let o = -5117 - -81823/16. What is the common denominator of -77/16 and o?
16
Let o = -81127/14 + 5790. Find the common denominator of 43/20 and o.
140
Let a = 334 - 1381/4. What is the common denominator of -10/7 and a?
28
Let l = -16021/10 - -1591. Calculate the common denominator of l and 115/42.
210
Let j = 932 + -929. Calculate the least common multiple of 39 and j.
39
Let h = -2459083/5013750 + -1/119375. Find the common denominator of 29/45 and h.
630
Let t be (-1)/(-2)*(11 + -1). Let g = -3 + t. Let j(m) = -m**3 - 14*m**2 - 23*m + 20. What is the smallest common multiple of j(-12) and g?
8
Let m be (-996)/(-1)*45/3. Let g = -269011/18 + m. Let k = 20294 - 365149/18. Calculate the common denominator of k and g.
18
Let t = -1/7011 + 168407/1002573. Calculate the common denominator of 46/247 and t.
2717
Let s(b) = 21*b + 99. Calculate the least common multiple of 54 and s(-3).
108
Let k be ((-666)/28)/((-7)/(196/24)). Let d = 2/7261 - 922157/36305. Let b = k + d. Calculate the common denominator of -13/14 and b.
140
Suppose -3*a - 8*z + 3*z - 4 = 0, -3*a + 5*z + 16 = 0. Suppose 5*l - 44 = h, a*l + 6*h - 4*h - 8 = 0. Calculate the lowest common multiple of l and 9.
72
Let n = -29 - -31. What is the common denominator of 46/4 - 4/n and 17/28?
28
Suppose 141 = 4*h - f, 0 = 3*f + f + 4. What is the common denominator of -29/24 and (-127)/h + (-28)/210?
168
What is the common denominator of -45/32 and (-18)/63 - 1527/1344?
64
Suppose -28*n + 133 = -427. Let f(t) = -3*t**3 - 3*t**2 - t + 2. Calculate the smallest common multiple of f(-2) and n.
80
Let u = -5058 - -30251/6. Calculate the common denominator of -139/390 and u.
390
Let c = 6 - 5. Let g(i) = 3*i**2 + i. Let h = -11 + 12. Calculate the smallest common multiple of g(c) and h.
4
Calculate the common denominator of -87/10 and (687/126 - 8) + (-18)/(-21).
210
Let s(v) = -4*v + 6. Let p(b) = -4*b + 5. Let w(l) = -5*p(l) + 4*s(l). Let u be w(-3). Let y = -1 - u. What is the least common multiple of 8 and y?
24
Let m = -5/277 + -5223/2216. Calculate the common denominator of 118*(2 - 33/16) and m.
8
Let q = 252331/44 + -22919/4. Calculate the common denominator of (1/(-30))/(6/(-261)) and q.
220
Let a = -4 - -6. Suppose 4*c = -8, -2*c = -a*j + 8 + 20. What is the smallest common multiple of 27 and j?
108
Suppose h + 7 = 2*d, 0 = -3*d - 2*h + 5*h + 15. Let n = -825 + 837. What is the least common multiple of n and ((-16)/(-2))/(d/5)?
60
Let b = -141 - -159. Calculate the least common multiple of 72 and b.
72
Let y be (((-10)/(-15))/(2/1315))/3. Let l = y - 147. Let g = -4/415 + -24042/2905. Find the common denominator of l and g.
63
Calculate the common denominator of -3*524/320 - (-2)/(-5) and 57/32.
32
Let p = -23 + 27. Suppose 5*h - 7 = -p*q + 16, 2*h + 10 = 0. What is the lowest common multiple of q and -2 + (-1)/((-2)/20)?
24
Suppose -5*b + 21 = -89. What is the smallest common multiple of b and 184?
2024
Let h = 7 - 15. Let c(d) be the third derivative of -d**6/120 - 7*d**5/60 + d**4/4 - d**3 + 2*d**2. Calculate the least common multiple | {
"pile_set_name": "DM Mathematics"
} |
'th term of -13, -17, -1, 47, 139, 287, 503, 799?
2*t**3 - 2*t**2 - 12*t - 1
What is the w'th term of -14567, -14553, -14521, -14465, -14379, -14257, -14093, -13881?
w**3 + 3*w**2 - 2*w - 14569
What is the y'th term of -7, 3, 9, 5, -15, -57, -127, -231?
-y**3 + 4*y**2 + 5*y - 15
What is the x'th term of 210, 265, 320, 375, 430?
55*x + 155
What is the l'th term of -143, -125, -117, -137, -203?
-3*l**3 + 13*l**2 - 153
What is the a'th term of 4, -18, -54, -104?
-7*a**2 - a + 12
What is the y'th term of -6, 5, 14, 21, 26?
-y**2 + 14*y - 19
What is the d'th term of 4583, 4575, 4553, 4511, 4443, 4343, 4205?
-d**3 - d**2 + 2*d + 4583
What is the u'th term of 28, 39, 62, 103, 168, 263, 394?
u**3 + 4*u + 23
What is the o'th term of 112, 32, -70, -206, -388, -628, -938?
-2*o**3 + o**2 - 69*o + 182
What is the p'th term of 117, 78, 39?
-39*p + 156
What is the v'th term of -106, -208, -310, -412, -514?
-102*v - 4
What is the u'th term of -13, -43, -97, -175, -277, -403, -553?
-12*u**2 + 6*u - 7
What is the s'th term of 500, 990, 1476, 1958, 2436?
-2*s**2 + 496*s + 6
What is the j'th term of 350, 337, 324?
-13*j + 363
What is the k'th term of 25, 67, 181, 403, 769, 1315, 2077?
6*k**3 + 19
What is the n'th term of 22, 46, 74, 106, 142, 182, 226?
2*n**2 + 18*n + 2
What is the f'th term of 78, 76, 74, 72, 70?
-2*f + 80
What is the p'th term of 3945, 3946, 3947?
p + 3944
What is the o'th term of 32, 34, 36?
2*o + 30
What is the w'th term of 217, 867, 1959, 3499, 5493?
w**3 + 215*w**2 - 2*w + 3
What is the z'th term of -489, -492, -497, -504, -513, -524, -537?
-z**2 - 488
What is the j'th term of -13715, -13720, -13727, -13736, -13747, -13760, -13775?
-j**2 - 2*j - 13712
What is the m'th term of -3336, -3335, -3334, -3333?
m - 3337
What is the x'th term of 91, 152, 213, 274, 335?
61*x + 30
What is the l'th term of -28, -30, -46, -82, -144, -238?
-l**3 - l**2 + 8*l - 34
What is the y'th term of 33, 36, 43, 60, 93?
y**3 - 4*y**2 + 8*y + 28
What is the j'th term of 29, 130, 401, 926, 1789?
14*j**3 + j**2 + 14
What is the m'th term of 28, 68, 180, 400, 764, 1308?
6*m**3 - 2*m + 24
What is the m'th term of 9828, 9819, 9798, 9759, 9696, 9603, 9474, 9303?
-m**3 - 2*m + 9831
What is the x'th term of -170, -149, -128, -107, -86?
21*x - 191
What is the p'th term of -3813, -3815, -3817, -3819, -3821, -3823?
-2*p - 3811
What is the v'th term of 588, 587, 586?
-v + 589
What is the p'th term of -634, -628, -622, -616, -610, -604?
6*p - 640
What is the v'th term of -221, -447, -695, -977, -1305, -1691, -2147?
-2*v**3 + v**2 - 215*v - 5
What is the o'th term of -52, -250, -776, -1792, -3460, -5942, -9400?
-27*o**3 - 2*o**2 - 3*o - 20
What is the k'th term of 2790, 2788, 2786, 2784?
-2*k + 2792
What is the q'th term of -880, -3560, -8034, -14308, -22388?
-q**3 - 891*q**2 + 12
What is the g'th term of 39, 81, 123, 165?
42*g - 3
What is the a'th term of -32, -46, -84, -158, -280, -462, -716, -1054?
-2*a**3 - 30
What is the g'th term of 91, 186, 287, 394, 507?
3*g**2 + 86*g + 2
What is the k'th term of -4, -28, -52, -76, -100, -124?
-24*k + 20
What is the b'th term of -40, -86, -138, -196, -260, -330, -406?
-3*b**2 - 37*b
What is the n'th term of -947, -950, -953?
-3*n - 944
What is the q'th term of -477, -467, -455, -441, -425, -407?
q**2 + 7*q - 485
What is the w'th term of -185, -368, -551, -734, -917, -1100?
-183*w - 2
What is the l'th term of 640, 1282, 1924, 2566, 3208, 3850?
642*l - 2
What is the z'th term of 37, 74, 113, 154, 197?
z**2 + 34*z + 2
What is the o'th term of 7, 27, 59, 109, 183?
o**3 + 13*o - 7
What is the v'th term of 27, -16, -59, -102?
-43*v + 70
What is the g'th term of 83, 143, 193, 227, 239, 223?
-g**3 + g**2 + 64*g + 19
What is the m'th term of -217, -216, -215, -214, -213, -212?
m - 218
What is the j'th term of 66, 61, 46, 15, -38, -119?
-j**3 + j**2 - j + 67
What is the f'th term of -106, -127, -146, -163?
f**2 - 24*f - 83
What is the c'th term of -8, 2, 20, 46, 80, 122?
4*c**2 - 2*c - 10
What is the q'th term of 34, 10, -14, -38, -62, -86?
-24*q + 58
What is the f'th term of 36, 157, 358, 639, 1000, 1441, 1962?
40*f**2 + f - 5
What is the k'th term of -151, -153, -155, -157?
-2*k - 149
What is the z'th term of 148, 264, 380, 496, 612, 728?
116*z + 32
What is the n'th term of 262, 261, 260?
-n + 263
What is the o'th term of 224, 442, 654, 860, 1060, 1254?
-3*o**2 + 227*o
What is the a'th term of 812, 1625, 2438, 3251, 4064?
813*a - 1
What is the g'th term of -158, -267, -568, -1157, -2130, -3583, -5612, -8313?
-16*g**3 + 3*g - 145
What is the i'th term of -51, -47, -31, 3, 61?
i**3 - 3*i - 49
What is the y'th term of 1617, 3236, 4855, 6474?
1619*y - 2
What is the q'th term of -16, 30, 114, 242, 420, 654?
q**3 + 13*q**2 - 30
What is the b'th term of -9, 0, 15, 36, 63, 96?
3*b**2 - 12
What is the w'th term of -11, 8, 33, 58, 77?
-w**3 + 9*w**2 - w - 18
What is the a'th term of 5053, 10102, 15151, 20200, 25249, 30298?
5049*a + 4
What is the t'th term of -34, -235, -782, -1849, -3610?
-29*t**3 + t**2 - t - 5
What is the w'th term of 2, 9, 32, 77, 150, 257?
w**3 + 2*w**2 - 6*w + 5
What is the h'th term of 91, 706, 2377, 5632, 10999, 19006, 30181?
88*h**3 - h + 4
What is the h'th term of -16, -23, -20, -1, 40, 109, 212?
h**3 - h**2 - 11*h - 5
What is the n'th term of -120, -220, -306, -372, -412?
n**3 + n**2 - 110*n - 12
What is the v'th term of 322, 657, 992, 1327?
335*v - 13
What is the m'th term of 10, 3, -16, -53, -114, -205?
-m**3 + 11
What is the z'th term of 39, 51, 39, -9, -105, -261, -489?
-2*z**3 + 26*z + 15
What is the x'th term of 471, 979, 1487, 1995?
508*x - 37
What is the h'th term of -795, -1580, -2363, -3144, -3923?
h**2 - 788*h - 8
What is the r'th term of -33, -47, -61?
-14*r - 19
What is the j'th term of 34, 36, 38?
2*j + 32
What is the i'th term of -96, -202, -314, -438, -580, -746?
-i**3 + 3*i**2 - 108*i + 10
What is the c'th term of -39, -31, -1, 63, 173, 341, 579?
2*c**3 - c**2 - 3*c - 37
What is the t'th term of 78, 88, 106, 132, 166, 208?
4*t**2 - 2*t + 76
What is the u'th term of 900, 908, 936, 996, 1100, 1260?
2*u**3 - 2*u**2 + 900
What is the o'th term of 3990, 3992, 3994, 3996?
2*o + 3988
What is the p'th term of 28, 70, 132, 208, 292?
-p**3 + 16*p**2 + p + 12
What is the u'th term of -4, -6, -8, -10?
-2*u - 2
What is the z'th term of 75, 291, 645, 1131, 1743, 2475, 3321?
-z**3 + 75*z**2 - 2*z + 3
What is the y'th term of 539, 1079, 1619, 2159, 2699, 3239?
540*y - 1
What is the q'th term of -37, -88, -163, -274, -433, -652, -943, -1318?
-2*q**3 - 37*q + 2
What is the u'th term of 160, 220, 320, 460, 640, 860?
20*u**2 + 140
What is the j'th term of 209, 205, 199, 191, 181?
-j**2 - j + 211
What is the q'th term of 33, 208, 509, 942, 1513?
q**3 + 57*q**2 - 3*q - 22
What is the l'th term of 4033, 8068, 12103, 16138?
4035*l - 2
What is the v'th term of 549, 1097, 1645, 2193?
548*v + 1
What is the l'th term of -109, -223, -343, -469, -601, -739, -883?
-3*l**2 - 105*l - 1
What is the o'th term of -10, -42, -94, -166, -258, -370, -502?
-10*o**2 - 2*o + 2
What is the c'th term of -339, -677, -1019, -1371, -1739, -2129?
-c**3 + 4*c**2 - 343*c + 1
What is the p'th term of 90, 94, 98, 102?
4*p + 86
What is the l'th term of 87, 179, 289, 423, 587?
l**3 + 3*l**2 + 76*l + 7
What is the l'th term of -629, -631, -631, -629?
l**2 - 5*l - 625
What is the p'th term of -1, -49, -123, -217, -325, -441, -559?
p**3 - 19*p**2 + 2*p + 15
What is the v'th term of 16, 23, 30, 37?
7*v + 9
What is the l'th term of -99, -196, -293?
-97*l - 2
What is the r'th term of 3447, 3431, 3417, 3405, 3395, 3387?
r**2 - 19*r + 3465
What is the v'th term of -140, -148, -156?
-8*v - 132
What is the n'th term of 1014, 1015, 1016, 1017, 1018?
n + 1013
What is the m'th term of 57, 57, 51, 39, 21?
-3*m**2 + 9*m + 51
What is the q'th term of 404, 824, 1256, 1700, 2156, 2624?
6*q**2 + 402*q - 4
What is the q'th term of 719, 725, 735, 749, 767, 789?
2*q**2 + 717
What is the b'th term of -10, -41, -92, -163, -254, -365, -496?
-10*b**2 - b + 1
What is the p'th term of 439, 434, 427, 418, 407, 394?
-p**2 - 2*p + 442
What is the q'th term of 366, 497, 630, 765?
q**2 + 128*q + 237
What is the n'th term of -4048, -4047, -4046?
n - 4049
What is the u'th term of 55, 62, 79, 112, 1 | {
"pile_set_name": "DM Mathematics"
} |
d(j) = 22*j - 6. Let p be d(r). Calculate the remainder when o(p) is divided by 23.
12
Let o = -447 + 635. Let i(m) = -m**3 - 36*m**2 + 93*m + 2110. What is the remainder when o is divided by i(-37)?
36
Suppose -434 = -5*z - 4*s, -6*s = 3*z - 4*s - 258. What is the remainder when 316 is divided by z?
70
Let j(v) = 131*v + 273. Calculate the remainder when 362 is divided by j(-2).
10
Let h(c) = -13*c + 30. Let j be (-1*1)/((-5)/(-5)). Calculate the remainder when h(-6) is divided by (-4)/(-6)*-15*j.
8
Let s be (-4)/10 - 78/30. Suppose 0 = -4*g, -5*a + 11 = 5*g - 29. Calculate the remainder when 3 + ((-6)/s - -7) is divided by a.
4
Let m be (29 + 2)*-1 + 0. Suppose -37 - 28 = -n. Let k = m + n. What is the remainder when k is divided by 9?
7
Let s(n) = n**2 + 7*n + 1. Let b be s(-8). Suppose 0 = c + b - 39. Let t(v) = 3*v**3 - 22*v**2 - 17*v + 24. What is the remainder when c is divided by t(8)?
14
Suppose 3*k - 798 = 525. Suppose k*i = 434*i + 133. What is the remainder when 72 is divided by i?
15
Suppose -5*x + 415 = 3*l, -4*x + 0*l = 5*l - 332. What is the remainder when 240 is divided by x?
74
Suppose 0 = 14*y + 6556 - 6864. Calculate the remainder when 899 is divided by y.
19
Suppose 3*p = -3*s + 606, 541 - 132 = 2*s - 3*p. What is the remainder when 3245 is divided by s?
200
Let u = 117659 - 48273. What is the remainder when u is divided by 11?
9
Let l = -4 + 5. Let m(u) = -1 - u**2 + 0 - 8*u + l + 6. Calculate the remainder when 63 is divided by m(-7).
11
Suppose -15 = 2*c + x - 54, -x - 5 = 0. Calculate the remainder when 8204 is divided by c.
20
Suppose -56 = -13*z + 165. Suppose -u - 4*m = 4*u - 571, -m = -5*u + 576. What is the remainder when u is divided by z?
13
Suppose 29*h + 4*f = 33*h - 692, 5*f = -3*h + 487. Calculate the remainder when 1036 is divided by h.
22
Let n be 2/(-14) + (-106)/(-7) - -2. Suppose 6*c = n*c - 352. Let i = 29 - 18. What is the remainder when c is divided by i?
10
Suppose -2*z + 403 + 1 = 0. Let t(u) = u**3 + 22*u**2 + 67*u + 64. Calculate the remainder when z is divided by t(-3).
32
Suppose 101 = -8*s + 389. Let r = s + -11. Suppose -n + u = -75, -u + 85 = -5*n + 452. Calculate the remainder when n is divided by r.
23
Let s = -12 - -16. Suppose t = -3*q + 101, -3*q + q - s*t + 54 = 0. What is the remainder when 7/q - (-219)/5 is divided by 23?
21
Suppose l - 54 = 5*j, -121 = -4*l + 5*j + 35. Let p = l - 1. Suppose -132*b - 1440 = -212*b. What is the remainder when p is divided by b?
15
Suppose -22*r + 18*r = 4*u + 24, u = r - 8. Let q(g) = -27*g - 164. Calculate the remainder when 173 is divided by q(u).
23
Let c(s) = 11*s + 11. Let l = 337 - 167. Let d = l + -161. Calculate the remainder when c(3) is divided by d.
8
Suppose -6*d + 2*d = -312. Calculate the remainder when d is divided by 3774/(-37740) - 2/((-20)/201).
18
Let k(p) = 3*p**2 + 1. Let d be k(-1). Suppose -d + 0 = -2*m. Calculate the remainder when ((-9)/8)/((-4)/(-18) - (-1650)/(-4752)) is divided by m.
1
Suppose 0 = 858*f - 127332 + 17508. Suppose -93 = 5*q - 333. Calculate the remainder when f is divided by q.
32
Let u(t) = t**3 + 10*t**2 - 320*t + 27. What is the remainder when u(31) is divided by 248?
244
Let h be ((-8)/6)/(2/(-78)). Let b = 76 - h. What is the remainder when 44 is divided by b?
20
Suppose 2*y - 43 - 112 = -5*t, y + 3*t - 75 = 0. What is the remainder when 230 is divided by y?
50
Suppose -2*i + 644 = 2*q, 4*i - 442 = 4*q + 830. Suppose 5*w = -245 + i. Calculate the remainder when 102 is divided by w.
12
Let l = -42034 + 42083. Suppose -12 = -4*a + 28. What is the remainder when l is divided by a?
9
Let k = -5699 - 1219. Let n be (-4)/30 + k/90. Let f = n + 99. What is the remainder when f is divided by 10?
2
Let y(f) = -11*f**3 - 2*f**2 - 2*f - 1. Suppose 3*z + 321 = 18*w, -w - 5*z + 54 = -0*z. Calculate the remainder when y(-3) is divided by w.
18
Let n be -3*(-3 - -10 - (-110)/(-15)). Let m(s) be the third derivative of 23*s**6/120 - s**5/60 + s**2. What is the remainder when 131 is divided by m(n)?
21
Let m(k) = -503*k - 3031. What is the remainder when m(-8) is divided by 257?
222
Suppose 2*i + 3*i - 80 = 0. Suppose 17*h - 2099 - 43 = 0. What is the remainder when h is divided by i?
14
Let p be -6*((-105)/6)/(-7). Let h(j) be the first derivative of -j**4/4 - 16*j**3/3 - 9*j**2 + 12*j - 82. What is the remainder when h(p) is divided by 10?
7
Suppose -7*k + 74 = -24. What is the remainder when 403 is divided by k?
11
What is the remainder when 2485 is divided by -32*(12 - (-392)/(-32))?
5
Suppose 0 = 2*p - 45*t + 56*t - 93, 4*p = -4*t + 96. What is the remainder when 143 is divided by p?
10
Let b(f) = f**2 + 10*f - 8. Let v be b(-12). Calculate the remainder when 142 is divided by 8/6*(32/(-8) + v).
14
Let u be (-1)/3*(0/(-4) - -12). Let x be (u + 5)/(3 - 4). Calculate the remainder when (x + 3)*1*1242/36 is divided by 10.
9
Suppose 5*m = -5*g + 160, -5*m + 7*m = -g + 72. Calculate the remainder when 454 is divided by m.
14
Suppose 2*o + 2*l + 652 = -198, -4*l = o + 416. Let i = o + 439. What is the remainder when 29 is divided by i?
7
Suppose 0 = 3*p + 5*i - 120 - 28, 0 = -2*p - 5*i + 112. Calculate the remainder when 2069 is divided by p.
17
Let j = -27 + 32. Suppose -5*i + 2 = -4*r, 3 = -5*r + 4*i + j. What is the remainder when 43 is divided by r/(-10) - (-12)/40*54?
11
Suppose 500*o - 482*o = 846. What is the remainder when 218 is divided by o?
30
Suppose -8538 = -4*t + 3*p, -5*t + 4*t = p - 2138. Suppose t = 39*b - 15*b. Calculate the remainder when b is divided by (-5 - (-12)/3)*-27*1.
8
Let l(z) = 35*z - 80. Let o be l(10). Let j = o + -112. Calculate the remainder when j is divided by 40.
38
Let t(h) = 34*h**2 - h + 3. Let m be t(-2). Let b = 231 - m. Suppose 0*v + 4*v = 52. What is the remainder when b is divided by v?
12
Let l(p) be the third derivative of p**6/120 - 3*p**5/20 + p**4/24 + p**3/6 - p**2 - 30*p. Calculate the remainder when 35 is divided by l(9).
5
Suppose -4*t = -3*t - 11. What is the remainder when t is divided by (-12)/(-14)*117/(-13)*14/(-12)?
2
Let l(x) = 2*x**2 - 120*x + 479. What is the remainder when 3438 is divided by l(56)?
28
Suppose 2*u + 4*g = 2*g + 16, 5*g = 5*u - 50. Suppose -u*k + 30 + 6693 = 0. What is the remainder when k is divided by 6?
3
What is the remainder when 0 + (-8)/(-28) - (-517296)/1092 is divided by 115?
14
Suppose 2*o - 3*d = 205, -2*d - 179 - 27 = -2*o. Suppose -o*u - 24 = -107*u. What is the remainder when 47 is divided by u?
7
What is the remainder when ((-36)/90)/(2/(-3365)) is divided by 9?
7
Let o be (-1)/((-8)/4)*-4. Let j(u) be the second derivative of -u**5/4 + u**4/6 + 5*u**3/6 + 3*u**2/2 + 126*u. What is the remainder when j(o) is divided by 6?
5
Let f(g) = 34*g - 1310. Calculate the remainder when 219 is divided by f(41).
51
Suppose 0 = -128*u - 112*u + 26364 + 201156. Calculate the remainder when u is divided by 28.
24
Let w(o) = 360*o - 6. Let b be w(1). Suppose 10*d = 4*d + b. What is the remainder when d is divided by 23?
13
Suppose 2*p = -3*l + 41, 2*l + 2*p - 23 - 7 = 0. Suppose 0 = -a - 1 + l. Calculate the remainder when 62 - (-65)/(-26)*(-6)/(-5) is divided by a.
9
Let n be (30/(-9) - -3)/(1/(-12)). What is the remainder when -5 + 4/n*16 is divided by 6?
5
Let r(s) = 5*s + 53. Let m be r(-7). Calculate the remainder when -2 + 5 - -6*(m - -3) is divided by 35.
24
Let d(z) = -22*z + 2. Let k(f) = 12*f - 1. Let a(g) = -6*d(g) - 10*k(g). Let o = 4 + 0. Calculate the remainder when a(o) is divided by 6.
4
Let u(x) = -x**3 - 4*x**2 - 2*x - 5. Let h be u(-4). Let c(a) = 10*a**2 - 20*a + 50. Calculate the remainder when 477 is divided by c(h).
77
Suppose 3*a + 447 = 126. Let i = 160 + a. Calculate the remainder when i is divided by 12.
5
Let a = -2630 + 2968. Calculate the remainder when a is divided by 19.
15
Let x = -699 - -847. Suppose -x = -7*g - 57. Calculate the remainder when g is divided by 6.
1
Let p = 66 + -45. Let u(a) = -a**2 - 89*a - 7. Let g(k) = 88*k + 7. Let z(j) = 4*g(j) + 3*u(j). Calculate the remainder when z(28) is divided by p.
14
Suppose -2*o - 16 = -n + 2*o, 5*o + 41 = 2*n. Let h(v) = -105*v - 5069. Calculate the remainder when h(-52) is divided by n.
27
Suppose 209*q - 417*q - 30 = -210*q. Let d(y) = 5*y**2 + 2*y. Let x | {
"pile_set_name": "DM Mathematics"
} |
+ g*b**4 + f + a*b + w*b**2 and give a.
-2
Express 2*f**3 - 7*f**2 - 1 - 1080404*f - 11*f**4 + 1080404*f as n + i*f**4 + h*f**3 + m*f**2 + c*f and give n.
-1
Rearrange 108812*u**2 + 2*u + 7*u**3 + 12 - 54407*u**2 - 54392*u**2 to the form f + d*u**2 + m*u**3 + n*u and give n.
2
Express 2385*u**2 + 2394*u**2 - u**3 - 4776*u**2 + 116*u**4 in the form b*u**4 + v*u**2 + w*u + k*u**3 + j and give b.
116
Rearrange ((-3 - 3 + 5)*(-2*w - w + w) + 3*w + 0*w - 2*w + 4*w - 5*w - w)*(439 - 184*w**2 - 439) to the form k*w + y*w**3 + n + j*w**2 and give y.
-184
Express 171*w - 277 + 3759*w + 127 + 150 in the form x*w + b and give x.
3930
Rearrange (m - 5 + 5)*(-5*m + 0*m + 4*m) - 4*m**2 + 4*m - 4*m - m**2 + 7*m**2 + 6*m**2 + (-4 + 5*m + 16 - 14)*(0 + 0 - 3*m) to o*m + r*m**2 + c and give o.
6
Express -7*m + 5*m + m**4 - 3345 + 3364 + m**4 + 7*m**2 in the form l*m**2 + x + a*m**4 + c*m**3 + s*m and give s.
-2
Rearrange 1943*x - 130 - 45 + 175 to the form j*x + u and give j.
1943
Express 5*c**2 - 6 - 1 + 14 - 6 - 6*c**2 + 247*c in the form j*c + k*c**2 + g and give k.
-1
Rearrange 30*d**2 - 35*d**2 + 38993*d**3 - 38992*d**3 - 2200 to k*d**3 + s + l*d + x*d**2 and give k.
1
Express -122*q + 471*q - 2 - 114*q + 89*q**3 + 6*q**2 - 119*q - 118*q as y*q + i + h*q**2 + g*q**3 and give i.
-2
Rearrange -2119*z + 1059*z + 1055*z - 82 to the form v*z + c and give c.
-82
Express -202*d + 73*d + 231 + 70*d + 59*d + 7*d**2 as v*d + y + m*d**2 and give m.
7
Express -281*b + 2 + 134*b - 870*b + 142*b in the form u + k*b and give u.
2
Express (26*g + 20*g - 14*g)*(5*g + g - 5*g)*(-10*g**2 - 52*g + 52*g) in the form k*g + s*g**3 + x*g**4 + a + n*g**2 and give a.
0
Rearrange (-18 - 8 - 10)*(-3*c + 0 + 0)*(61 - 167 + 63) to a*c + j and give a.
-4644
Express -197*m + m**2 - 266 + 257 + m - 111*m in the form z + q*m**2 + i*m and give i.
-307
Express 150*z - 1375*z - 724*z - 2224*z + 201*z as c + l*z and give l.
-3972
Rearrange 23 - 4 - 9 - 83*v - 10 to k*v + s and give k.
-83
Rearrange -10835*a**3 - 10745*a**3 + 5*a**2 + 21671*a**3 to n*a**3 + j*a + u + g*a**2 and give j.
0
Express 47 + 14*k - 17*k + 33 + 2*k**2 + 122 - 2*k**3 in the form c*k**2 + o*k**3 + r*k + d and give d.
202
Rearrange 3514*f - 5305*f - 4182*f to the form a + q*f and give q.
-5973
Rearrange -204*k**3 + 23*k**4 + 202*k**3 - 7*k - 10*k**2 + 3 + 5*k - 21*k**4 to v + z*k**4 + s*k + l*k**3 + p*k**2 and give s.
-2
Express 9*p**2 - 17012*p**3 - 2*p**4 - 6*p + 6 + 17012*p**3 as f*p**2 + x + b*p + w*p**4 + h*p**3 and give b.
-6
Express (-4 + 2*h**3 + 4)*(-1676 + 897 + 1044) in the form w*h + a*h**3 + b + c*h**2 and give a.
530
Rearrange -3 - 43*f**2 + 117*f**2 + f**3 - 50*f**2 + f - 20*f**2 to the form w*f**3 + q*f**2 + d*f + v and give q.
4
Rearrange -5*b**4 + 8*b**4 - 4*b - 7*b - 17046*b**3 + 17048*b**3 - 2 + b**2 + 3*b**4 to l*b**2 + k*b**4 + o + w*b**3 + n*b and give l.
1
Express -33*z + 162 + 40*z + 162 + 37*z - 329 as q*z + n and give q.
44
Rearrange 4 - 18398*u**3 + 18400*u**3 + 8 - 30*u to r*u + d*u**2 + s + p*u**3 and give p.
2
Rearrange ((-226 + 226 - 22*c)*(-3 + 1 + 6) + 118*c - 60*c - 57*c + 1 + 0*c + c + c)*(-3 + 0 + 1) to b*c + u and give u.
-2
Rearrange 13*o - 8636*o**4 + 17267*o**4 - 58 - 8633*o**4 - o**3 to y*o**4 + i*o**2 + d + z*o + b*o**3 and give y.
-2
Express (-27*w**3 - 769*w**3 - 3539*w**3)*(3*w - w - w) + 0*w**4 + 0*w**4 - 2*w**4 as q*w + x*w**4 + v*w**2 + t*w**3 + c and give x.
-4337
Express h**2 - 1590 - 1198 - 568 as w + v*h**2 + l*h and give v.
1
Rearrange -1 + 51*p**2 + 190*p**3 - 3*p - 53*p**2 - 191*p**3 to the form l + z*p**3 + q*p**2 + v*p and give l.
-1
Express -2 + 76*x**3 + 70*x**3 + 247*x**2 - 126*x**3 - 21*x**3 as l*x**3 + a + z*x + o*x**2 and give l.
-1
Rearrange (72 + 101 + 91 + 7 + 56)*(2*w - 3*w + 12*w) to the form g*w + p and give g.
3597
Express -2*c**3 - 17*c**4 - 2*c - 52797 + 26459 + 26423 as d*c + z*c**3 + v*c**2 + n + w*c**4 and give w.
-17
Rearrange -233*i**4 - 3*i**3 + 0 + 81*i**4 + 52*i**2 + 1 + 73*i**4 - 2*i + 78*i**4 to the form l*i**3 + m*i**4 + v*i + c + j*i**2 and give j.
52
Rearrange u - 6 + 8*u**2 + 5 - 9*u**2 + 4*u**3 + (-2*u + u - u)*(31*u**2 - 59*u**2 - 30*u**2) to the form i*u + x*u**3 + l + d*u**2 and give d.
-1
Express -4 + 4195*y**2 - 6 + 3 + 10 - 4 in the form u*y + c + b*y**2 and give c.
-1
Rearrange 603*p + 609*p + 606*p + 593*p - 1613 - 2413*p to the form l*p + m and give l.
-2
Rearrange 10*x**3 + 18*x**2 + 58 - 9*x**3 - 57 + x to p*x**2 + k*x + y + q*x**3 and give k.
1
Rearrange 39 - 40 - 9446*z + 1 to k*z + o and give k.
-9446
Rearrange 4 + 6 + 5 - 17 - 167*l + 7 to z*l + f and give z.
-167
Express -3804*b - 2218*b - 1732*b + 1 in the form s + g*b and give g.
-7754
Express (-403*t**2 + 172*t**2 - 242*t**2)*(-t - 32*t - 6*t) + 4 + t**3 - 4 in the form o*t**3 + x + l*t**2 + d*t and give o.
18448
Rearrange (7*d + 242 - 221 - 11*d)*(-1 - 2*d**2 + 1) + d**3 - 4*d**2 + 4*d**2 - 2*d**2 + 2*d**2 - 4*d**3 to w + h*d + y*d**2 + f*d**3 and give f.
5
Express (6822 - 3023 + 14271)*(4*a + 0*a - 5*a) as m + z*a and give z.
-18070
Express -2*i**4 - 7*i**3 + 9*i**3 + 1 + 46*i**2 + 121*i**2 + 4*i**4 in the form x*i**4 + m*i**3 + t*i + o*i**2 + g and give o.
167
Express -893*z - 43*z - 196*z as h + q*z and give q.
-1132
Rearrange (-2*q + 1220 + 5609 + 681 + 14602 + 4761)*(0 + 2 - 3) to the form v + s*q and give v.
-26873
Express -226*x**2 - 299*x**2 + 525*x**2 - 3*x - 3301*x**3 as b*x**3 + o*x + m + n*x**2 and give m.
0
Express (-2 - 3 + 4)*(53 - 113 + 88)*(-7*s**2 + 4*s**2 + 14*s**2) in the form t*s**2 + i + v*s and give t.
-308
Rearrange (-3 + 1 + 5 + (-1 + 0 + 3)*(0 + 1 + 0))*(5 + 2*y - 5)*(-27*y**2 + 32*y**2 + 46*y**2 + 2) to d*y**2 + u*y**3 + b + p*y and give u.
510
Rearrange 159838*x**2 - 159230*x**2 - 4*x + 2*x + 2*x**3 + 0*x to o*x + a*x**3 + k*x**2 + b and give k.
608
Express -19*p - 2*p**2 - 4*p**4 - 44 + 44 - 717*p as x*p**3 + q*p**2 + r + u*p + z*p**4 and give u.
-736
Express 4*m**2 - 3*m**2 + m**2 + (-m + m - m)*(-140*m - 358*m - 282*m) in the form q*m**2 + s*m + g and give q.
782
Rearrange -h**3 - 5165*h**4 + 2*h**2 + 9 - 7 + 13414*h - 13413*h to the form k + x*h**3 + u*h**4 + t*h + g*h**2 and give t.
1
Rearrange (-7*h - 14 + 14)*(58*h**2 + 30*h - 30*h) + (h - 6*h - 2*h)*(h**2 + h - h) - h**3 + 3*h**3 + 0*h**3 to x + r*h**3 + k*h**2 + t*h and give r.
-411
Express -71 - 19805*f**2 - 2*f**3 + 19805*f**2 as u + m*f + r*f**3 + j*f**2 and give u.
-71
Rearrange -16*c - 465*c - 1 - 295*c - 511*c to the form r*c + s and give r.
-1287
Express -25*l**3 - 5*l - 2*l**2 - 359*l**4 + 48*l**3 - 21*l**3 + 376*l**4 as m*l**3 + i*l**2 + w + a*l**4 + f*l and give f.
-5
Rearrange 148*k**4 - 147*k**4 + 7*k**3 - 34*k**3 - 24*k to s + r*k**3 + z*k + o*k**2 + q*k**4 and give r.
-27
Rearrange -33*k + 449 + 221*k - 217 - 33*k - 222 to b + h*k and give b.
10
Express (-m + 0*m - 4*m + (-1 + 3 - 5)*(3*m + 6 - 6))*(148*m + 59*m**2 - 148*m) in the form k + f*m + a*m**2 + t*m**3 and give t.
-826
Express (13*f**3 + 9*f**3 - 3*f**3)*(1 - 1 + 1) + 4*f**3 + 6*f**3 - 6*f**3 + 15 in the form g*f + m*f**2 + b*f**3 + d and give b.
23
Rearrange (2 + 0 - 5)*(-3*c - 27 - 3*c - 59 - 40) to b + l*c and give b.
378
Rearrange 423*z**3 + 2*z - 60*z**3 + 2*z**4 + 508*z**3 - z**2 - 3 + 16*z**3 to the form h*z**2 + s*z**3 + a + g*z**4 + q*z and give a.
-3
Rearrange 10*i - 6*i - 351 - 2*i + 313 + 2343 to d*i + y and give y.
2305
Rearrange 12*t**3 + 3*t + 29 + 22 + 41*t**2 - t**4 - 12*t**3 - 56 to c*t**4 + z*t + o*t**3 + h + m*t**2 and give c.
-1
Rearrange (-n**2 + 1619*n + 10 - 1619*n)*(72 - 216 + 97) to p + o*n + d*n**2 and give p.
-470
Rearrange 191454*v - 185031*v + 1 - 3 to the form r + b*v and give b.
6423
Rearrange -1005*b**3 + 2*b - 2 - 216*b**2 + 2*b**4 + 992*b**3 + 219*b**2 to the form o*b + t + h*b**3 + n*b**4 + l*b**2 and give t.
-2
Express 1028 + 1022 + 129*c**2 + 20*c**3 + 1028 - 4103 + 1026 in the form m*c**2 + o*c + v + a*c**3 and give a.
20
Rearrange 5279*h - 5432*h + 1 + 40*h**2 - 59*h**2 to w*h + c*h**2 + v and give w.
-153
Express -14 + 6077*v - 7 - 4 + 35 - 8 in the form n*v + s and give s.
2
Rearrange 38*h**2 - 29*h**2 + h**3 - 153*h - 1 - 9*h**2 - 2*h**2 to the form g + b*h + c*h**2 + u*h**3 and give u.
1
Express (-180 - 26*t + 180)*(54*t - 161*t + 66*t + 45*t - 158) in the for | {
"pile_set_name": "DM Mathematics"
} |
Let w(n) be the first derivative of 9*n + 151 + 1/2*n**2. What is w(f(c))?
3*c**2 + 9
Let f(o) = 2421659*o. Let j(v) = 24*v. Calculate f(j(r)).
58119816*r
Let q(r) be the first derivative of -r**3 + 15. Let y(o) = 72*o + 1459 - 1459 + 65*o. Calculate q(y(g)).
-56307*g**2
Let z(d) = 3*d**2. Let h(s) = -7*s**2 - s - 119311. Determine h(z(f)).
-63*f**4 - 3*f**2 - 119311
Let o(n) = 2*n**2 + 2*n - 4. Suppose -41*z + 46*z = 10. Let t(d) = 8*d**2 + 7*d - 14. Let y(l) = z*t(l) - 7*o(l). Let s(q) = -6*q**2 + 9*q. Calculate s(y(b)).
-24*b**4 + 18*b**2
Let n(y) = 263210*y. Let v(o) = 405*o. Determine v(n(s)).
106600050*s
Let f(g) = 27*g**2. Let l(r) = 31210300*r**2. Determine l(f(w)).
22752308700*w**4
Let d(a) = 2*a**2. Let h(r) be the first derivative of -386*r**2 - 3441. Calculate d(h(s)).
1191968*s**2
Let y(m) = m**2. Let k(u) = -60*u**2 + 52614. Calculate k(y(i)).
-60*i**4 + 52614
Let p(a) = -a**2. Let t(g) = 132915*g**2 + 7*g - 2. Determine t(p(d)).
132915*d**4 - 7*d**2 - 2
Let p(m) be the third derivative of 61*m**4/24 - 123*m**2 - 12. Let q(z) = -113*z**2. What is p(q(n))?
-6893*n**2
Let t(v) = v**2 + 3*v - 26. Let p be t(-8). Let h(s) = 9*s + 8*s - p*s. Let b(f) be the third derivative of -f**5/30 + 2*f**2. What is h(b(m))?
-6*m**2
Let k(x) be the first derivative of x**5/15 - x**2 + 33*x + 68. Let m(j) be the second derivative of k(j). Let i(q) = -14*q**2. Calculate m(i(b)).
784*b**4
Let i(u) = 5*u**2. Let d(c) = 902820*c**2 + 3280. Let m(q) = -826*q**2 - 3. Let k(z) = 3*d(z) + 3280*m(z). Calculate k(i(s)).
-20500*s**4
Let r(p) = 2*p. Let l(o) = 1121*o**2 + 209*o + 209. Let i(h) = 30*h**2 + 60*h + 2*h**2 + 67*h + 6 - 121*h. Let b(d) = 209*i(d) - 6*l(d). Give b(r(w)).
-152*w**2
Let s(h) = 2*h + 116 - 8 - 108. Let x(u) = -66*u**2 - 21*u. Determine x(s(g)).
-264*g**2 - 42*g
Let w = -1 - -3. Let o(y) = -y**w - y**2 + y**2. Let r(s) = -8*s**2 - 4. Let a(b) = -7*b**2 - 5. Let d(k) = 4*a(k) - 5*r(k). Calculate d(o(x)).
12*x**4
Let v(q) = 27066335*q. Let a(y) = 7*y**2. Determine v(a(s)).
189464345*s**2
Let f(k) = -5485*k**2 - 5583*k**2 + 11066*k**2. Let a(h) = -5248*h**2. Determine a(f(j)).
-20992*j**4
Let l(q) = 8*q. Let i(n) = -7*n**2 - 3*n. Let m(x) = -2*x**2 - x. Let z = -56 + 55. Let w(v) = z*i(v) + 3*m(v). Give l(w(t)).
8*t**2
Let n(j) = 2*j. Let v(q) = q + 2959823. What is n(v(b))?
2*b + 5919646
Let k(c) be the third derivative of c**4/2 - 2*c**2. Let t(p) = -1. Let q(h) = -2*h - 5. Let j = 251 + -249. Let v(m) = j*q(m) - 10*t(m). Give v(k(s)).
-48*s
Let b(w) = w. Let j be (354/(-4))/((-15)/10). Let g(s) = 477*s + 472*s - j - 947*s. Calculate b(g(q)).
2*q - 59
Let r(d) be the second derivative of 0 + 13*d + 1/6*d**3 + 0*d**2. Let n(a) be the first derivative of -13*a**2/2 - 17. Calculate r(n(q)).
-13*q
Let r(a) be the second derivative of -a**3/6 - 16*a**2 - 1392*a. Let y(l) = 5*l. Determine y(r(p)).
-5*p - 160
Suppose b - 57 - 31 = -3*m, 5*m - 143 = 2*b. Let y(r) = -29 - 6*r + m. Let c(i) be the first derivative of 5*i**3/3 - 8. Calculate y(c(z)).
-30*z**2
Let w(d) = -d - 6291. Let l(u) = -565*u**2 + 2. Determine w(l(n)).
565*n**2 - 6293
Let m(p) = -740*p + 580. Let a(t) = -31*t + 24. Let r(l) = -145*a(l) + 6*m(l). Let i(c) = -c**2 + 5*c. Determine r(i(u)).
-55*u**2 + 275*u
Suppose 52 - 48 = 3*k - 4*q, 2*k - 2 = 3*q. Let v(s) be the second derivative of -46*s + 0 - 55/2*s**2 + 0*s**3 - 1/6*s**k. Let t(j) = -j**2. Calculate t(v(g)).
-4*g**4 - 220*g**2 - 3025
Let b(d) = 5058*d. Let f(v) = -2*v**2 + 4*v**2 - 137*v + 104*v + 33*v. What is b(f(n))?
10116*n**2
Let v(c) = -1316*c + 78. Let r be v(-3). Let u be 2*10*6/8. Let h(x) = 4026 - u*x**2 - r. Let g(o) = -o**2. Give g(h(f)).
-225*f**4
Let v(f) = 254*f**2 - 8550. Let n(d) = -d. Calculate v(n(b)).
254*b**2 - 8550
Let s(g) = 0*g + g + 9*g - 14*g + 6*g. Let y(m) = -m + 512. Determine s(y(r)).
-2*r + 1024
Suppose 5*v - 4*r + 105 = 448, -2*r + 361 = 5*v. Let s(x) = v*x**2 + 71*x**2 - 136*x**2. Let y(z) = 5*z. Determine y(s(k)).
30*k**2
Let a(b) = 579149*b - 578 - 579149*b + 2*b**2. Let p(y) = 2*y. Give a(p(x)).
8*x**2 - 578
Let a(z) = 45*z**2. Let k(s) = -56564*s + 2. What is k(a(o))?
-2545380*o**2 + 2
Let r = -228 + 291. Let n(b) = -r*b + 23*b + 21*b + 18*b. Let m(w) = -w**2 - 14*w. Determine m(n(d)).
-d**2 + 14*d
Let i(y) = -85*y. Let v(u) be the second derivative of 14 + 1/3*u**3 - 2*u + 0*u**2. Calculate v(i(z)).
-170*z
Let y(j) = -6*j. Let q(b) = -19129*b + 4. What is q(y(k))?
114774*k + 4
Let f(g) = 126*g**2 + 2*g. Let p(b) be the second derivative of -3*b**3/2 - 129*b - 2. What is p(f(x))?
-1134*x**2 - 18*x
Let g(c) be the second derivative of -c**4/4 - 2*c + 236. Let x(o) = -602*o**2. What is g(x(p))?
-1087212*p**4
Let k(g) = -2919523 + 2919523 + 100*g. Let w(p) be the first derivative of p**2 + 1. Calculate w(k(b)).
200*b
Let s(k) = k + 7. Let a be s(-5). Let j(h) = h**a - h**2 + 2*h**2. Let g(c) = -29221*c + 30*c**2 + 29221*c. Determine g(j(x)).
120*x**4
Let z(r) = -6*r. Let a(w) be the third derivative of -2*w**2 + 0 + 145*w + 0*w**3 + 0*w**4 + 1/15*w**5. Determine z(a(m)).
-24*m**2
Let k(r) be the second derivative of r**4/12 + 2087*r. Let n(f) be the second derivative of 47*f**3/6 - f. Determine k(n(v)).
2209*v**2
Let m(d) = -8*d + 45*d - 6*d - 33*d. Let q(z) = -77*z**2 - 2*z. Calculate m(q(f)).
154*f**2 + 4*f
Let d(w) = -3*w**2. Let i(k) be the third derivative of 0*k + 67/60*k**5 + 0 + 64*k**2 + 0*k**4 - 1/3*k**3. What is i(d(r))?
603*r**4 - 2
Let z(y) = -19*y. Let g(b) be the second derivative of -39*b**3/2 + 7*b - 85. What is g(z(s))?
2223*s
Let b(a) = -4*a + 2367 + 2325 - 4858. Let k(r) = -2*r. What is b(k(w))?
8*w - 166
Suppose 0 = 4*j + j - 60. Let i(r) = 0 + 0 - j*r. Let a(d) be the first derivative of 2*d**2 - 32946. What is i(a(k))?
-48*k
Let d(w) = 2*w + 30. Let b(s) = -s**2 - s. Let g(r) = -3*r**2 - 4*r. Let p(a) = -4*b(a) + g(a). Calculate p(d(v)).
4*v**2 + 120*v + 900
Let x(d) = -2*d + 296. Let z(r) = 28*r**2 + 64*r - 2. Determine z(x(n)).
112*n**2 - 33280*n + 2472190
Suppose -9200 = -p + 640. Let k(a) = p*a - 9840*a + 2*a**2. Let x(g) = -2*g + 2 - 2. Determine x(k(l)).
-4*l**2
Let y(j) = 1372*j + 317. Let t(q) = -q**2. Calculate y(t(a)).
-1372*a**2 + 317
Let o(j) = -54*j**2 - 17*j + 17. Let f(h) = -19*h**2 - 6*h + 6. Let b(z) = -34*f(z) + 12*o(z). Let k(l) = l + 803. Calculate b(k(d)).
-2*d**2 - 3212*d - 1289618
Let l(m) = -2*m. Let b(g) be the second derivative of 39*g**4/4 + 17*g**2/2 - 30*g - 14. What is l(b(q))?
-234*q**2 - 34
Let c(p) be the second derivative of -p**3/6 + 4*p - 24. Let f(j) = -1121*j + 2. Determine f(c(x)).
1121*x + 2
Let p(u) = 3*u**2 - 1 + 1. Let y(q) = -2*q**2 + 16*q + 6. Let f be y(7). Let i(b) = 8 - f + 14*b + 12. Calculate p(i(v)).
588*v**2
Let g(j) = j + 28. Let d(y) = -9*y + 106742*y**2 + 40*y - 106743*y**2. Determine d(g(r)).
-r**2 - 25*r + 84
Let r = 3549 - 3549. Let j(b) be the second derivative of r*b**2 - 4/3*b**3 - 6*b + 0. Let g(c) = c**2. Give j(g(u)).
-8*u**2
Let h(g) be the first derivative of -26*g**2 - g + 2407. Let f(q) = -4*q. What is h(f(v))?
208*v - 1
Let v(l) = -16*l**2. Let b(c) = 301*c**2 - 36*c - 9. Let j(o) = 12191*o**2 - 1460*o - 365. Let s(y) = -365*b(y) + 9*j(y). Calculate v(s(q)).
-341056*q**4
Let d(g) = -5*g. Let a(x) be the first derivative of 1/6*x**3 - 16*x + 9 + 0*x**2. Let w(v) be the first derivative of a(v). Calculate d(w(p)).
-5*p
Let w(k) = -16233956*k**2 - 22065*k + 228005. Let v(l) = 4415*l**2 + 6*l - 62. Let u(a) = 7355*v(a) + 2*w(a). Let d(h) = h**2. What is d(u(o))?
19474569*o**4
Suppose -l = -10 + 2. Let o(k) = -11*k**2 - 8*k**2 - l*k**2 + 26*k**2. Let d(r) = 7*r**2 + 0*r**2 + 7*r**2. Calculate d(o(q)).
14*q**4
Let k(r) = -75639*r**2. Let a(h) = -188*h**2. Calculate k(a(f)).
-2673384816*f**4
Let x(c) = 1214*c. Let n(q) be the second derivative of q**3/3 + 101*q - 50. Determine x(n(p)).
2428*p
Let w(i) = 21*i - 110. Let l(r) = -28306*r. Calculate l(w(f)).
-594426*f + 3113660
Let g(y) = 10*y**2. Let l(w) = 39146236*w**2. Calculate g(l(s)).
15324277929676960*s**4
Let y(z) = 42*z**2 + 28*z - 28. Let b(q) = 4*q**2 + 2*q - 2. Let f(x) = -14*b(x) + y(x). Let t(w) = -141*w**2. Calculate t(f(g)).
-27636*g**4
Let s(y) = 1384*y + 98. Let v(w) = 214*w**2. Give s(v(r)).
296176*r**2 + 98
Let y(q) = -2557*q + 1279* | {
"pile_set_name": "DM Mathematics"
} |
= -24*z. Let c be q(2). Let w = c - -91. Let s = -585 - -710. What is the remainder when s is divided by w?
39
Suppose 17*a - 360 = 9*a. Let h = 91 - a. What is the remainder when h is divided by (-240)/(-36)*((-15)/(-4) - 0)?
21
Suppose 53*o = -39*o + 16*o + 304. What is the remainder when o is divided by 1?
0
Let k(z) = -z**3 - 10*z**2 + 23*z + 73. Calculate the remainder when 189 is divided by k(-12).
19
Suppose -11910 - 1817 = -1961*s. Calculate the remainder when 12*1*(-31)/(-3) is divided by s.
5
Let u be (-250)/20*(0 + 2). Let g be -6*(u/(-10) - 3). Suppose -44 = -g*c - 35. Calculate the remainder when 6 is divided by c.
0
Suppose 4*f = d + 3*d - 1912, 0 = -5*f + 5. Calculate the remainder when d is divided by 41.
28
Let p = 288 - 197. Suppose 7*d + 5*q = 8*d + 17, -6 = 2*d - 3*q. Suppose a = d + 29. Calculate the remainder when p is divided by a.
27
Suppose p - o - 1 = -p, 9 = 5*p + 4*o. What is the remainder when (p - (-1)/5)/(6/3280) is divided by 14?
12
Suppose -4 = 2*p + 2*z, -2*p + z - 2*z - 7 = 0. Let a be 2/p - 16172/(-130). Suppose -254 - a = -3*q. What is the remainder when q is divided by 10?
6
Let t(l) = 4*l**2 - 9*l - 16. Calculate the remainder when t(-3) is divided by (-245)/(-8) - (-78)/208.
16
Suppose 12*f + 4 - 40 = 0. Suppose 5*p + 2*m = 4*m + 48, 33 = f*p + 3*m. What is the remainder when 46 is divided by p?
6
Suppose -z = -3*g + 21 - 6, 0 = 2*g - 3*z - 3. Suppose 0 = -g*p - 26*p + 13952. What is the remainder when p is divided by 88?
84
Suppose 8 + 1 = 3*a. Suppose i + 34 = 4*r + a*i, -3*i = -r + 5. Suppose 2*x = -s + 36, r = 5*x + 23. What is the remainder when s is divided by 11?
9
Suppose 21*k - 26 = 20*k. Suppose -5*m = -3*z + 33, -2*m - z - k = z. Calculate the remainder when 30 is divided by -1 - m - (4 + -4).
6
Suppose -17*b - 3*z + 12 = -14*b, -3*z + 5 = -4*b. What is the remainder when 94/(-6 - (-8)/b) is divided by 6?
5
Let b be (-2 - (-1320)/(-9))*-3. Suppose -n - d = -107, 4*n - d - b = d. Calculate the remainder when n is divided by 29.
23
Let o(c) = -c**2 + 4 - 4618*c + 4624*c + 4. Calculate the remainder when 79 is divided by o(6).
7
Let z = 12413 - 12213. Calculate the remainder when 583 is divided by z.
183
Let i = 961 + -942. Suppose -2*n = n + 2*d - 401, 3*n - 381 = 3*d. What is the remainder when n is divided by i?
17
Let o = 5675 + -1864. Calculate the remainder when o is divided by 123.
121
Suppose 0 = -4*s + 21 - 5. Suppose -c = s - 26. Suppose 16*a + 198 = -40*a + 870. Calculate the remainder when c is divided by a.
10
Let x be 144/(-90)*(-1 - 53/2). Suppose -x*f + 8494 = -13*f. Calculate the remainder when f is divided by 46.
44
Let v(k) = k**3 + 8*k**2 + 13*k - 9. What is the remainder when v(8) is divided by 15?
9
Suppose -20*i + 10612 = 8*i. Let t = 382 - i. Let o(b) = -b**2 - 5*b + 1. Calculate the remainder when o(-4) is divided by t.
2
Let q(m) = 2*m**3 + 3*m - 5. Suppose t - 43 = -t - 5*u, -2*t + 3*u = -35. Calculate the remainder when t is divided by q(2).
2
Suppose 16*h = 18*h + 8, -5*h = 5*k - 8715. What is the remainder when k is divided by 125?
122
Let q(h) = -10*h + 62. Let i be q(6). Suppose 2 = 5*n + p, 4*n - 3*p - 11 = i*n. Calculate the remainder when 10 is divided by n.
0
Suppose 3*p - 49*j - 1053 = -46*j, -8 = 2*j. What is the remainder when p is divided by 173?
1
Let l be (-4)/6*60/(-4). What is the remainder when 35 is divided by 26/14*((l - 12) + 9)?
9
Suppose 6269 = 28*d - 5743. Calculate the remainder when d is divided by 53.
5
Suppose 122*t - 125*t = 84. What is the remainder when 27 is divided by -8*((-49)/t + -3)?
7
Let f(g) = g**3 - 19*g**2 - 16*g - 1. Let q = 67 + -47. What is the remainder when f(q) is divided by 18?
7
Let t = -5 - -20. Suppose 5*q - 3*q = 4*g - 256, -5*g + 8*q = -331. What is the remainder when g is divided by t?
3
Suppose -14*g - 11664 = 4*g. Let k = -596 - g. Calculate the remainder when k is divided by 17.
1
Suppose 2*l + 350 - 364 = 0. Suppose 21*t - 119 = l. Calculate the remainder when t is divided by 2.
0
Let f(w) = w**3 + w**2 - 5*w + 6. Let x be f(-3). Let h = 3 + x. Let t(p) = 10*p**2 - 34*p + 8. What is the remainder when t(h) is divided by 55?
54
Let g = 7897 + -7693. Let u = -4 - -17. What is the remainder when g is divided by u?
9
Let r(k) = k**3 + 2*k**2 - 7*k + 4. Let p be r(-4). Suppose p = -3*j + 49 + 5. Calculate the remainder when 193 is divided by j.
13
Let k = 49743 + -49713. Let m(z) = 25*z**2 + 3*z + 2. Calculate the remainder when m(3) is divided by k.
26
Suppose -2*w + 717 = 3*g + 2*g, -2*w = 2*g - 282. Suppose 0 = -2*z + 5*j - 0*j + 157, 2*z - g = j. Calculate the remainder when z is divided by 37.
34
Suppose -276*f + 111351 = -147578 - 96007. What is the remainder when f is divided by 631?
24
Let a(x) = 600*x - 2323. Calculate the remainder when 692 is divided by a(4).
76
Suppose -64*u - 3701 + 12149 = 0. Calculate the remainder when u is divided by 25.
7
Let x be (-5)/2*18/(-15). Let p be 0/(4*(-15)/12). Suppose 0 = -x*r + 3*u + 150, r = -p*u + 4*u + 41. Calculate the remainder when r is divided by 5.
3
Suppose 0 = w - 3*f - 229, 2*w - 13*f = -12*f + 438. What is the remainder when w is divided by 21*((-2)/(-1) + 8/6)?
7
Let v(d) = 12*d**2 + 119*d + 85. Calculate the remainder when v(31) is divided by 178.
176
Let q be (-2)/6 - (-4)/((-48)/380). What is the remainder when (1 - -9) + -6 - q is divided by 10?
6
Let r = -963 + 1008. Calculate the remainder when r is divided by (-4)/(-26) + 462/39.
9
Suppose -42 = -2*z - o + 23, 5*o = 5*z - 185. Let s(n) = -n**3 - 2*n**2 + n + 2. Let w be s(2). Calculate the remainder when z is divided by 58/8 - w/(-48).
6
Let a(u) = -4*u - 11*u + 20*u - 11 - 8*u**2 + 2*u**3 - 9*u. Calculate the remainder when a(5) is divided by 7.
5
Suppose 5*p = -5*n + 3620, 3*n = -150*p + 153*p + 2130. What is the remainder when n is divided by 357?
3
Calculate the remainder when 106 + (-22)/(-33)*-18 is divided by 480/42 + 12/21.
10
Let p = 29 + -14. Let u(g) = -14*g**2 + 747*g - 296. Calculate the remainder when u(50) is divided by p.
14
Suppose 2*b = -2*b - 292. Let a = b - -203. What is the remainder when a is divided by 2?
0
Suppose -1 - 227 = -4*s. Suppose 2351*m + 3*n + 102 = 2355*m, -n - 155 = -5*m. Calculate the remainder when s is divided by m.
24
Suppose -14*h + 19*h = -82*h + 6003. What is the remainder when 1835 is divided by h?
41
Suppose -4*f + 92 = -0. What is the remainder when 18/15*972/72*5 is divided by f?
12
Suppose -4 = -v + 2. Let m = 15497 - 15483. What is the remainder when v/3*(-2 - -29) is divided by m?
12
Let y(o) = -o**2 + 19*o + 13. Let t = 31 + -14. What is the remainder when y(16) is divided by t?
10
Suppose -24*o + 64*o = -89*o + 66564. What is the remainder when o is divided by 85?
6
Let j(r) be the first derivative of r**3/3 - 15*r**2/2 + 52*r - 59. What is the remainder when 3 is divided by j(10)?
1
Let i(k) be the first derivative of k**4/4 + 4*k**3 + 3*k**2 - 4*k - 11. Let d be i(-11). Let w = -31 + d. Calculate the remainder when w is divided by 11.
9
Let s(r) = 129*r + 57. Let t be s(1). Suppose 48*b = 54*b - t. Calculate the remainder when 86 is divided by b.
24
Suppose 0 = 3*h + 5*q - 259, 4*h + q = 4 + 347. Let l(t) = -2*t**2 - 38. Let c be l(0). Calculate the remainder when h is divided by (53 + c)/((-1)/(-3)).
43
Let z(j) = j + 22. Let m be z(-10). Suppose 0 = u - m - 43. Calculate the remainder when u is divided by 5232/2180 + ((-1064)/10)/(-4).
26
Let y(r) = 5*r - 10. Suppose 5*n - 34 = -4. Suppose -8*g + n*g = -10. What is the remainder when 49 is divided by y(g)?
4
Let a(q) = -q**3 - 8*q**2 + 13*q - 14. Let d be a(-10). Let w = d + -54. What is the remainder when 38 is divided by (w/(-6))/((-2)/(-15))*-2?
3
Let a be (-1)/(-5) + 209/55. Suppose 5*y = a*p - 5, -2*y + 12 = 2*p - 4. Suppose -y*f + 14 + 40 = 0. What is the remainder when 69 is divided by f?
15
Let a = 250 - 247. Suppose 0 = a*w + 93 - 276. Calculate the remainder when w is divided by 21.
19
Let j be 110/(-22) - (-1)/1. Calculate the remainder when 44 is divided by (32 - 4 - j)/(1*2).
12
Let s(w) = 551*w**2 - w - 8. Calculate the remainder when s(-1) is divided by 7.
5
Let w(y) = y**3 + 6*y**2 - 4*y - 2. Suppose -11600 = 906*m - 1022*m. What is the remainder when m is divided by w(-6)? | {
"pile_set_name": "DM Mathematics"
} |
+ (1 - 0) - -7) + -4?
2
(-5 - 2) + -2 + (-5 - -10)
-4
What is 3 - (-2 + 0 - -1 - -3)?
1
What is (5 - (6 - -3 - 5)) + -2?
-1
Evaluate -4 - (-1 + (-13 - -9)).
1
Calculate 2 + (2 - 1) + 3 + -4.
2
Calculate -21 - -25 - (0 - (1 - 10)).
-5
Calculate -44 + 42 + (-2 + 1 - 0).
-3
0 - -5 - (2 + 7 + -11)
7
-4 + -8 + 5 + 7
0
Evaluate -27 + 39 - (7 + 1).
4
What is the value of -4 + (8 - 12) + 5?
-3
Calculate 5 + -4 + 8 + (5 - 11).
3
What is -1 - (4 + (-4 - -3) - 1)?
-3
What is 1 - (-3 - (4 - 3))?
5
-5 + 2 - (-5 + 2) - 3
-3
Evaluate 6 - ((-16 - -9) + 3).
10
Evaluate 0 - ((-7 - -4) + -5).
8
What is the value of 7 - 4 - 6 - 5 - -6?
-2
4 + (-6 - -2) - (-2 - 0)
2
Evaluate (-2 - -10 - 2 - -3) + -2.
7
What is (-6 + -1 - (11 + -7)) + 6?
-5
Evaluate -3 - (-4 + (-2 - -7)) - 0.
-4
What is the value of 1 + (-3 + 1 - 3) + 1?
-3
What is 25 + -6 + -18 - (-2 + 0)?
3
Calculate 8 + -5 - (6 - 3).
0
Evaluate -10 - -7 - (4 - (-4 + 8)).
-3
1 - (-3 + 3 - -3 - 2)
0
What is the value of -7 - (-8 - -4) - (3 + -4)?
-2
-4 - (5 + -2) - -7
0
Evaluate 5 - (8 + 6 + -14).
5
What is the value of -13 - -11 - (0 + 2)?
-4
Evaluate 0 + 4 + -7 + -1 + 8.
4
What is (1 - 0) + 2 + -6?
-3
Evaluate 2 - (-6 + 3 + 8).
-3
1 + -7 - 3 - -1
-8
4 - (2 + (1 - 4))
5
(2 - 2) + (-2 - -1)
-1
6 + (1 - -4 - 6)
5
Evaluate 1 + -1 + 6 + -2 + -1.
3
Calculate -5 - (3 + 0 - (-1 - -12)).
3
-1 - -6 - (27 - 17)
-5
What is the value of (0 - (0 - (-1 - -1))) + -3?
-3
4 + -3 - (-3 - 0) - -3
7
What is (4 - 11 - -8) + 0 - -4?
5
What is -9 + 11 - 6 - 1?
-5
Calculate 11 - (-5 + (2 - -9)).
5
2 - (-3 - (1 - (3 + 1)))
2
What is the value of 0 + 2 - ((7 - 6) + -2)?
3
What is 7 + -2 + 1 + -9 + 7?
4
What is 1 - -1 - (-5 + (-2 - -8))?
1
Calculate (4 - 6) + 4 + (-2 - 1).
-1
1 + (-7 + 9 - 8)
-5
What is the value of (4 - (-14 + 3)) + -6 - 3?
6
(2 - -3) + -1 + -3
1
(1 - (3 + -2)) + -2
-2
What is -4 + 5 + -9 + 16?
8
What is (3 - 9) + 6 + -5?
-5
Calculate (22 - 24) + 7 + 1.
6
What is the value of (-17 - -7) + 10 + -6?
-6
What is the value of (-2 - 1) + (0 - 1) + -1?
-5
0 + (-4 - (4 - 7)) + 8
7
Calculate 6 - (2 + -3 - -2).
5
What is the value of 22 + -13 + (-2 - -1) + -4?
4
(-1 + 5 - 4) + -5
-5
-1 - -4 - (-3 + 6 + -3)
3
Evaluate 1 + 9 + 3 + -12.
1
What is the value of 8 + (2 - 0) - 5?
5
What is 11 - (-1 + -2 + 6)?
8
2 - (-3 - (4 - 8))
1
Calculate 0 + 2 + -6 + 9.
5
Calculate 2 - ((6 - -1) + (-22 - -11)).
6
What is the value of -1 + 0 - (0 + (-8 - -1))?
6
Calculate 2 + -5 + 6 - 5.
-2
-4 - -2 - (-2 - -4) - -4
0
Calculate (-35 - -35) + -5 + 1 + 6.
2
Calculate 2 + -9 - -1 - -11.
5
What is the value of 4 - (1 - -13 - 4)?
-6
Evaluate 5 - ((4 - (-3 + 2)) + -3).
3
What is 3 + (2 - -1) + (0 - -1)?
7
-9 + (5 - 18 - -26)
4
What is the value of -1 - (-6 - (5 + -7))?
3
What is the value of -11 - (-15 - -8) - -11?
7
What is (-8 - -2) + -5 + 15?
4
What is the value of -3 - (22 + -18 - (2 - -3))?
-2
Calculate 4 - (7 + -8) - 9.
-4
11 + (-2 - 7) - -4
6
Calculate -9 - (3 + -6 - 11).
5
Calculate -14 + 20 - (2 + -1).
5
What is the value of 2 + -1 + 0 + -1 + 3?
3
Evaluate 0 - -3 - (38 + -27).
-8
Calculate (-1 + 3 - 1) + (-3 - 0).
-2
Calculate -6 + 3 + -4 - -6.
-1
-3 + 1 + -4 - (-4 - -3)
-5
What is -9 + (4 - 2) + 6?
-1
Evaluate (-5 - 3) + 3 + 2 + -2.
-5
What is the value of -11 + 3 + 5 + 0 + 1?
-2
14 - (-11 - -15) - 5
5
What is 2 + 5 + 4 + -6?
5
0 + 1 - (12 + (-11 - 2))
2
Evaluate (3 - 12) + 3 - -1.
-5
9 - 24 - (-1 + 0 - 7)
-7
(0 + 0 - -2) + -2
0
Calculate 0 + (1 - (-2 - (0 + 3))).
6
What is (-3 - -1) + -2 + 6 + 3?
5
What is (0 - -2 - (-1 - -4)) + 3?
2
Evaluate 3 - (3 - (-11 - -5)) - -10.
4
-3 - (-7 - (7 - 14))
-3
Evaluate 5 - (-15 - -10 - (2 + -10)).
2
What is -3 + 13 + -3 + -6?
1
-25 - -31 - (0 + 1)
5
Calculate -2 - ((2 + 0 - 6) + 7).
-5
1 + 0 - (-2 - -6) - -7
4
1 + 1 + 0 + 3 + -5
0
0 - -2 - (-2 - -2)
2
Evaluate 205 - 198 - (-1 + 9).
-1
10 - (-17 - -11 - -16)
0
What is (-11 - -8) + (-2 - (-8 - 2))?
5
What is 0 - (-1 - -4 - 8) - 10?
-5
Evaluate (-1 - 2) + 4 + -3.
-2
-7 + 20 + -9 + (2 - 3)
3
Evaluate -2 - -1 - (-7 + 5).
1
What is -4 + 2 - (-4 + 2 - -2)?
-2
Evaluate -49 + 47 + (-2 + 2 - 1).
-3
13 + -15 - ((0 - -1) + 2)
-5
What is -1 + 2 + -2 + 4?
3
Calculate (-4 - 1) + -4 + 2 + 2.
-5
What is the value of 0 + (-13 - 0 - -6)?
-7
What is the value of (25 - 26) + (1 - 3)?
-3
Calculate -1 + (-23 + 26 - (2 - -3)).
-3
What is the value of 4 + -1 + 7 + -3?
7
What is 1 - (4 - ((-2 - -13) + -3))?
5
Evaluate (0 - -1) + (9 - 8) + -4.
-2
What is -2 + (-10 + 6 - -5)?
-1
What is -12 + (-3 - 3 - -13)?
-5
Evaluate -1 + 12 + -5 + -9.
-3
What is the value of (-2 - -1) + 78 + -70?
7
(-5 - -5) + (-2 - (1 + 0))
-3
Evaluate 0 - ((-5 - -9) + (-3 - 1)).
0
-3 + 4 - (10 + -15)
6
Calculate -2 + (-3 - (-2 - -3)) + 8.
2
-1 + (4 - (-10 + (-8 - -12)))
9
Calculate -4 + 12 + -8 + -9 + 5.
-4
What is the value of 2 + (10 + -5 - 5)?
2
What is -11 - -2 - -10 - -1?
2
Calculate 0 + -5 + -3 + 6.
-2
What is 3 - (-1 + -2) - 10 - -10?
6
Calculate (2 - (-1 + -2)) + (-16 - -5).
-6
-3 + 2 + 0 + -3
-4
Evaluate 3 + -7 + 19 + -8.
7
What is the value of (-6 - -2) + (-4 - -2 - -4)?
-2
What is 16 + -7 + -1 + -5?
3
Calculate 0 - (2 + 2 - 0 - 0).
-4
Calculate 17 - 21 - (0 + 1).
-5
Calculate (8 - -2) + 1 - (15 + -10).
6
-3 + 1 + 4 - 6 - -8
4
What is -2 - (-5 + -8 - -7)?
4
Evaluate 1 + (2 - 1) + (63 - 66).
-1
What is the value of (2 + 1 - 6) + 3 + -1?
-1
Evaluate -5 + (8 - 3) + 4.
4
Calculate (-2 - (-2 + 0)) + (39 - 37).
2
What is the value of 10 - (11 + -5 + 13)?
-9
What is -1 + -9 - 0 - (0 + -5)?
-5
Evaluate 9 - (7 + 9) - -7.
0
What is the value of 4 + -1 - 1 - (3 - 1)?
0
(14 - 11) + (2 - 6)
-1
Evaluate 3 - (-2 + -10 + 7 + -3).
11
What is -6 + -3 + -3 + 9?
-3
Evaluate 6 + (3 + 2 + -3 - 3).
5
Calculate (23 - 25) + (2 + -2 - 2).
-4
What is (-5 - (2 + -16 + 6)) + -10?
-7
What is (-2 - -2) + -2 + (-4 - -12)?
6
What is the value of (39 - 37) + -6 + (4 - 2)?
-2
Evaluate -4 + (-3 + 1 + -2 - -5).
-3
What is -10 - (8 - (4 + 14))?
0
-20 - (-27 - -15) - (-7 - 1)
0
8 + 0 - (-19 - -26)
1
What is -83 - -75 - (1 + -5)?
-4
Evaluate -1 + (0 - -8) + -1.
6
What is the value of (-1 - (-2 - 1)) + (148 - 143)?
7
What is the value of 3 + 0 + 1 + -1?
3
What is 4 - 7 - (2 + -8 + -2)?
5
Calculate 1 - -11 - (30 + -18).
0
(2 + -6 - (0 + -1)) + 4
1
Evaluate 3 - (3 + 7 + -9).
2
What is the value of -1 + (13 - 9 - 6)?
-3
What is the value of -2 + 14 - ((14 - -5) + -15)?
8
4 + (-1 - -1) + (2 - 1)
5
2 + -8 - 0 - (-4 - -4)
-6
1 - 0 - (0 + 5 - 8)
4
Calculate 2 + -12 - (2 + 2 - 10).
-4
What is 2 + 1 - (-17 + 25)?
-5
What is the value of -10 - 0 - -4 - -3 - -1?
-2
Evaluate (6 - 3 - 5) + -3 + 0.
-5
What is the value of -6 - -5 - 0 - (4 + -1)?
-4
Calculate 0 + (1 - (4 + 0)).
-3
Evaluate 3 - 4 - (0 - 0).
-1
Calculate -7 + 0 + 1 + 13 + 1.
8
Calculate 4 + (3 - (14 - -2 - 4)).
-5
What is 5 - 5 - -3 - 5?
-2
Calculate 0 - (2 + -3 + 4 + 0).
-3
What is -5 + (1 - 6 - -9)?
-1
Evaluate -1 + (0 - (4 - 12)).
7
What is -7 + (7 + 7 - 1)?
6
Evaluate 3 - 5 - 5 - -5.
-2
What is -23 + 30 - ((-4 - 1) + 4)?
8
What is 6 + 1 + (-6 - -2)?
3
0 - -1 - (3 - 0) - -2
0
Calculate -6 + -2 + 5 - -8.
5
What is the value of (-1 - 1) + 16 + -10?
4
What is the value of 1 + (-11 - -5) - 2?
-7
What is the value of -3 + 9 + 1 + -6?
1
What is the value of -4 + 4 + (6 - 1) + -4?
1
Calculate 3 - (2 + 2 + -5).
4
Calculate 0 - -2 - 1 - (-2 - -5).
-2
What is 7 - 8 - (1 + -12)?
10
Evaluate (-1 - (0 + (2 - 0))) + 4.
1
4 + 3 - (-1 - (3 + -8))
3
What is the value of 5 + 7 + (6 - (17 + -7))?
8
(-7 + 5 - (-3 - -1)) + -5
-5
7 - (1 + 1 + 0)
5
Evaluate (4 - (4 - (3 - 0))) + -1.
2
What is (2 - (2 + 3)) + 1?
-2
What is the value of -2 - (3 + (0 - 0)) - -2?
-3
What is the value of (6 - (0 + 1)) + 1 + -1?
5
Evaluate 2 - (-10 - (-2 - 1 - 2)).
7
2 - (-2 - (-3 - (2 + -3)))
2
What is the value of 0 - (5 - 2) - (-3 + 3)?
-3
What is the value of 8 + -8 - (-2 + -3)?
5
4 - (1 + (-1 - (4 - 4)))
4
Evaluate 2 + (2 - 2) + -4 + 9.
7
What is the value of (-1 - 4 - 5) + 6?
-4
What is the value of 0 + (1 + -1 + 2 - 4)?
-2
What is -5 + -1 - 3 - -12?
3
Evaluate -1 + (-4 + 3 + -3 - -3).
-2
What is -3 - ((4 - 7) + 11 - 10)?
-1
What is -4 - -1 - (4 + (-2 - 0))?
-5
Calculate -6 + 2 + 0 + (-9 - -13).
0
What is the value of -7 + (19 - (2 - -1)) + -7?
2
Evaluate (11 - ((-5 - -6) + 1)) + -7.
2
What is (-3 - -8) + -9 + (3 - -2)?
1
Evalua | {
"pile_set_name": "DM Mathematics"
} |
43/8.
40
Let x = -40841/38 + 1075. What is the common denominator of x and -107/10?
190
Let v = 1260535/97 + -12995. What is the common denominator of v and 17/10?
970
Let k(j) = j**3 + 7*j**2 - 7*j + 5. Let c be k(-8). Let m(z) = -3*z. Let t be m(c). What is the common denominator of -2 + 73/t + 0 and 1/7?
63
Let v = 103/17 + -507/238. Find the common denominator of v and 91/6.
42
Let q = -7 + 10. Suppose -q*u = -u - 12. Calculate the smallest common multiple of u and 1.
6
Suppose -4*s + 46 = -2. Let j be (-83186)/(-24) + 8/s. Let r = 3444 - j. Find the common denominator of r and -39/16.
16
Calculate the least common multiple of 24 and (-144)/63 + 2 - (-228)/14.
48
What is the common denominator of 53/12 and (-12)/(-16)*(-3 + 28)?
12
Let u(k) = 9857*k**2 - k + 1. Let z be u(1). Let j = z - 177481/18. Calculate the common denominator of j and -27/22.
198
Let p be 1 + -2 + 552/561. Let t = p - -9543/374. Find the common denominator of t and (1/9)/(2/112).
18
Suppose 9*n - 4*n + 20845 = 0. Let x = -54150/13 - n. Let a = 891/52 + x. Find the common denominator of 65/3 and a.
12
Let p = 111377/12 + -9274. Calculate the common denominator of 29/24 and p.
24
Let h = -1 + 0. Let i(y) = -18*y**3 - y**2 - y - 1. What is the common denominator of i(h) and -36/11?
11
Let a be (5870/180)/(50/(-34)). Let o = a + 628/25. Calculate the common denominator of o and -125/18.
18
Let d = 2365/6 + -26225/66. What is the common denominator of d and 94/(-3)*(-1)/6?
99
Let x be (-1)/((-2)/(-3 - -7)). Suppose 0*l = -x*l - 3*h + 16, -4*l + 2*h = -16. What is the common denominator of l and 49/2?
2
Let j(z) = 5*z**2 - 3*z + 1. Let d be j(-3). Suppose -6*l + l = -d. Let c(p) = p**3 - 7*p**2 + 6*p + 7. What is the smallest common multiple of c(6) and l?
77
Let o = -1615/2 + 780. Let d be -373*(4 + (-1 - 2)). Let b = 2227/6 + d. Find the common denominator of o and b.
6
Let l be ((-1230819)/(-34))/(3 - -69354). Let m = l + -198/379. Let g = m + -41998/1037. What is the common denominator of g and -29/4?
4
Let y be 4/8*(-4)/(-214). Let s = y + 4594/749. Let z = 5453/258 + -99/43. Find the common denominator of z and s.
42
Let h = -164015/11058 + -2/1843. Let l = -701/60 - h. Find the common denominator of 73/10 and l.
20
Let w = -3 + 4. Suppose 3 = j + w. Let i(z) = z**3 - 6*z**2 + 5*z + 3. What is the smallest common multiple of j and i(5)?
6
Let z = -205/4 - -53. Let a be (348 + (0 - 2))/4. Let s = -84 + a. Find the common denominator of s and z.
4
Suppose 0 = -i - i, 0 = -3*h - 4*i + 60. What is the least common multiple of h and 66/4 + 2/(-4)?
80
Let i be (-108)/24 + (-2)/(-4). Calculate the smallest common multiple of (2/(-2) + 7)*2 and 2/(30/(-8) - i).
24
Let l(f) be the third derivative of -f**6/120 - 7*f**5/60 - f**4/24 + f**3/3 + 2*f**2. Calculate the least common multiple of l(-7) and 1.
9
Let t = 26 + -16. Calculate the lowest common multiple of t and 2.
10
Suppose -2*t + 6198 = 4*z - 5*z, -2*t - 30990 = 5*z. Let w = z - -37289/6. Calculate the common denominator of w and -49/2.
6
Let j = -17 + 8. Let l(u) = u**2 + 7*u - 8. Suppose -2*g + 1 + 3 = 0. What is the lowest common multiple of l(j) and g?
10
What is the common denominator of (-14)/50*(-195)/(-6) and (-6)/4*(-17)/(-3)?
10
Let a be (6/(-5))/((-6)/20). Let f(m) be the first derivative of m**2 + 2*m + 3. Calculate the smallest common multiple of f(a) and 7.
70
Let v = -82015/126 - -4514/7. Let o = -1441/8 + 643/4. Let f = o + -73/8. What is the common denominator of v and f?
18
Suppose r = -0*r - 4*w + 9, r + w - 9 = 0. Let j be 3891/r - 2/6. Calculate the common denominator of 4/18 + (-1203)/j and -101/12.
48
Let n = 9369/11 - 850. Let a = 19161/724 + -551486/15023. Let c = a - 1/166. What is the common denominator of c and n?
44
Let s = 14359/12 - 1188. What is the common denominator of -61/6 and s?
12
Find the common denominator of 63/10 and (-406)/(-7)*(-2)/(-184).
230
Suppose -2*t = -3*t - 4. Calculate the least common multiple of 11 and (t + (-6)/2)*-1.
77
Suppose -5*t - r = -55, -t - 5*r = 3*t - 23. What is the common denominator of (-3)/t - 27/(-20) and -9/5?
10
Let j(l) = -l**2 + 9*l + 10. Let s = 29 + -20. Suppose -40 = -3*g + y - 0*y, -24 = -3*g - 3*y. Calculate the least common multiple of j(s) and g.
60
Let w(f) = f**2 + 11*f - 22. What is the smallest common multiple of w(-15) and 5?
190
Let d = 1355/4 + -15029/44. What is the common denominator of -16/59 and d?
649
Let k(m) = -m + 13. Let i be (0/((-2)/(-2)))/(-2). Suppose -l = -i*l - 16. Calculate the least common multiple of l and k(7).
48
Let z = 6 - 3. Suppose 4*j = -5*h + 34, 3*h + 1 + 5 = 0. Calculate the least common multiple of j and z.
33
Let y(q) = q**2 + 15*q + 41. Let f = 12 + -7. Calculate the lowest common multiple of y(-12) and f.
5
Let x = -167 - -473/3. What is the common denominator of 1*((-66)/8)/(-3) and x?
12
Let g = 115 + -111. Suppose -5*h = 2*v + 23, 2*v = 7*v - h - 10. Calculate the smallest common multiple of g and v.
4
Suppose f = -2*f. Let k = -4 + 8. Suppose -k = -2*o - f. Calculate the least common multiple of o and 20.
20
Let d(h) = -h**2 - 7*h + 6. Let f be d(-7). Let s = f + 6. What is the least common multiple of 0 + 0 + 16*1 and s?
48
Let n = 443/60 - 2/15. Let j be (-20)/6*141/(-2). Let z = j + -3759/16. What is the common denominator of n and z?
16
Suppose -4*j + j - 120 = 0. Find the common denominator of -69/4 and (-4)/10 + (-231)/j.
8
Suppose i - 56 + 55 = 0. What is the least common multiple of i and 45?
45
Let i be -2 - (-1)/((-3)/(-1439715)). Let l = i + -4786561/10. Let x = l + -1254. What is the common denominator of 63/20 and x?
20
Let g be 1/((-8)/(-426))*28. Let t = 4430/3 - g. Calculate the common denominator of t and 48/5.
15
Suppose 0 = 4*z - 5*z + 70. Calculate the common denominator of 38 and 9/60*z/12.
8
Let i = 40 - 24. Suppose -102 + 42 = -3*p. Calculate the lowest common multiple of i and p.
80
What is the lowest common multiple of ((-408)/10)/(-3) - 38/(-95) and 16?
112
Let u(z) = -z**3 + 7*z**2 + 3. Let t be u(7). Suppose 5*n = 3*v - 24, t*n = -v + 2*n + 8. What is the lowest common multiple of 22 and v?
88
Suppose 2*n = 12 + 4. What is the lowest common multiple of n and 6?
24
Calculate the smallest common multiple of 8 and 2*(-41)/(-8) + 9/(-36).
40
Let r = 1063 - 221. Let x = r + -396. Let v = x - 867/2. Find the common denominator of v and -113/6.
6
Let d = 91121/20 - 4552. Find the common denominator of 74/8 + (-1)/(-3) and d.
60
Suppose 2*z = 8, -5*z = 2*v + 18 - 74. Let d(w) be the third derivative of w**4/12 - w**3 + 2*w**2. What is the smallest common multiple of d(4) and v?
18
Find the common denominator of (-43)/18 - 10/45 and 19/18.
18
Let k(f) = 2*f**3 + 3*f**2 + 2*f + 2. Let d be k(-2). What is the common denominator of -23/7 and -1 + (2 - (-159)/d)?
14
Suppose 5*p - i = 55 + 146, -3*p + 5*i + 125 = 0. What is the common denominator of 89/6 and p?
6
Let x(q) = q**2 + 9*q - 6. Suppose -2*w = -2*t + 24, 0 = -t - 2*w - 3*w - 12. Calculate the smallest common multiple of t and x(-11).
16
Let m = -4356727980378/12299 - -354234327. Let u = m + 13/251. Let z = u - 2759/98. Calculate the common denominator of 81/4 and z.
4
What is the common denominator of 19/82 and 5 + -4 + (-462)/108?
738
Let m be ((-10)/(-6))/((-2)/(-6)). Suppose -u - 1 = 3*n - 8*n, -5*n + m*u = 15. Calculate the least common multiple of 7 and n.
7
Suppose -687 = -3*m + 318. Let g = 1295/4 - m. What is the common denominator of g and 53/9?
36
Suppose -4*k + 3*n = -104, 3*k - n - 78 = -4*n. Calculate the common denominator of -119/6 and k.
6
Suppose 2*x - 2*m = 7*x + 58946, 3*x + m + 35367 = 0. Let k = 235647/20 + x. What is the common denominator of k and -101/22?
220
Let p = 15502 - 604532/39. Find the common denominator of p and 10/27.
351
Suppose 0*a - 3*y = -2*a - 8, -4*y = -16. Suppose a*i + 2*b - 19 = -3*b, 5*i - b = 61. Suppose -3*l = -12 + 6. What is the smallest common multiple of i and l?
12
Let d be (-1)/(3 + (-55)/18). Calculate the lowest common multiple of 114/d - (-4)/6 and 3.
21
Suppose 4*t = -3*k + 41, 10*k + 39 = t + 5*k. Suppose u - 40 = -u. Calculate the smallest common multiple of t and u.
140
Let g = 2 - -8. Calculate the least common multiple of (-2)/18 - (-532)/171 and g.
30
Let | {
"pile_set_name": "DM Mathematics"
} |
2
Let r(v) be the first derivative of 0*v**2 + 6 + 1/3*v**3 + 0*v. Let z(c) = 9*c**2 + 30*c - 30*c + 2*c**2. What is z(r(l))?
11*l**4
Let s(f) be the first derivative of 7*f**2/2 + 12. Let j(k) be the third derivative of 1/24*k**4 - k**2 + 0*k + 0 + 0*k**3. Calculate s(j(o)).
7*o
Let q(c) = -2 - 6 - 6*c - 2*c + 8*c - 2*c. Let x(w) be the first derivative of -w**2 - 1. Give x(q(b)).
4*b + 16
Let k(g) be the second derivative of -g**4/2 - 7*g. Suppose 3*u + n - 23 = 0, 3*u - n = 3*n + 43. Let h(f) = -u*f + f + 5*f. Determine h(k(s)).
18*s**2
Let f(a) = 2*a**2 + 2*a + 2. Let u(w) = -4*w**2 - 3*w - 3. Let y(p) = 3*f(p) + 2*u(p). Let g(x) = 2*x**2 + 56*x. Calculate g(y(v)).
8*v**4 - 112*v**2
Let t(v) = 25*v**2 + 3. Let r(b) = -1489*b. Determine r(t(j)).
-37225*j**2 - 4467
Let n(c) = -5*c. Let v(x) be the third derivative of -11*x**4/3 - 13*x**2 - 6. Calculate v(n(a)).
440*a
Suppose -4*r - 3*r + 28 = 0. Suppose -r*s + s = -3. Let f(d) = -2*d**2 + 8*d. Let m(q) = q. Let v(b) = s*f(b) - 8*m(b). Let o(j) = 9*j. What is v(o(g))?
-162*g**2
Let d(k) be the second derivative of -3*k**2 + 0 + 3/8*k**4 + 0*k**3 + 5*k. Let g(s) be the first derivative of d(s). Let c(a) = 3*a. Determine c(g(w)).
27*w
Let h(k) = -520*k - 26. Let a(b) = -347*b - 16. Let y(g) = 8*a(g) - 5*h(g). Let q(m) = -2*m. What is y(q(u))?
352*u + 2
Let b(z) = 53*z + 4. Let u(r) = 56*r**2 - 48*r**2 - 6*r**2. Calculate u(b(i)).
5618*i**2 + 848*i + 32
Let o(n) = 10*n + 6. Let u be (-1)/3 - (-2)/(-3). Suppose 3*p - 13 = 5. Let m(k) = k + 1. Let y(r) = p*m(r) + u*o(r). Let w(c) = 4*c. What is w(y(t))?
-16*t
Suppose 4*x + 6 = 7*x. Let c(l) = -195 + 195 + x*l. Let p(k) = 2*k**2. Calculate c(p(o)).
4*o**2
Let y(d) = 304*d**2. Let u(c) = -23*c**2. Calculate u(y(f)).
-2125568*f**4
Let l(b) = -7*b + b - 4*b. Let v(d) be the third derivative of d**5/30 - 50*d**2. Calculate l(v(z)).
-20*z**2
Let n(r) = -3*r. Let h = -90 - -90. Let u(s) be the first derivative of h*s - 3/2*s**2 + 7. Calculate n(u(t)).
9*t
Let m(p) be the third derivative of -29*p**7/5040 - 2*p**5/15 + 31*p**2. Let x(l) be the third derivative of m(l). Let w(n) = -2*n**2. What is x(w(t))?
58*t**2
Let a = 828 - 440. Let t(f) = 5*f**2 - 388 + a. Let i(j) be the first derivative of -j**3 + 2. Determine i(t(g)).
-75*g**4
Let i(n) be the third derivative of 0*n**4 - 7*n**2 + 0 + 1/20*n**5 + 0*n + 0*n**3. Let b(z) = 2 - 2 + 2*z. What is b(i(l))?
6*l**2
Let x(y) = -y. Let o(w) be the second derivative of 6*w**4 + 3*w. Calculate x(o(j)).
-72*j**2
Let q(t) = 7*t**2 - 722*t + 1. Let r(c) = 28*c**2. Give q(r(k)).
5488*k**4 - 20216*k**2 + 1
Let c(l) = -l - 1. Let j(v) = 3*v**2 - 8 + v**2 - 1 - 8*v - v. Let y(r) = 18*c(r) - 2*j(r). Let a(f) = -3*f**2. Give a(y(x)).
-192*x**4
Let y(v) be the third derivative of 0*v + 0*v**3 - 11*v**2 + 0 + 1/8*v**4. Let g(d) = d. Determine g(y(k)).
3*k
Let f(d) be the third derivative of -1/12*d**4 + 0*d**3 - 12*d**2 + 0 + 0*d. Let p(l) = -9*l**2. What is p(f(v))?
-36*v**2
Let q(l) = -30*l. Let k(o) = 18*o**2 + 10*o + 5. Let a(w) = 50*w**2 + 28*w + 14. Let m(n) = -5*a(n) + 14*k(n). Determine m(q(j)).
1800*j**2
Let n(g) = 3*g**2. Let y(c) = 284186*c. Calculate n(y(u)).
242285047788*u**2
Let t(o) be the second derivative of 25*o**4/2 + o**3/6 - 347*o. Let y(i) = 3*i**2. Determine y(t(h)).
67500*h**4 + 900*h**3 + 3*h**2
Let o(t) = -t + 6. Let m(d) = -d + 5. Let n(b) = -6*m(b) + 5*o(b). Let v(k) be the third derivative of -5*k**4/24 + 5*k**2 + 6*k. Give n(v(a)).
-5*a
Let g(k) = 3*k**2. Let x be 5864/12 - -2 - (-3)/9. Let t(m) = -x - 15*m**2 + 491. Calculate g(t(q)).
675*q**4
Let u(w) = -32*w. Suppose 2*i - c - 5 = 0, 5*i = 4*c + 8 + 3. Let o(t) = -4 + 4 - 4*t + i*t. Give u(o(a)).
32*a
Let r(i) = 184*i**2 + 57*i. Let f(z) = 174*z. Give r(f(n)).
5570784*n**2 + 9918*n
Let s(v) = -4*v - 13. Let n be s(-4). Let c(y) be the third derivative of 7*y**2 + 0 + 0*y**n + 0*y + 0*y**4 + 3/20*y**5. Let o(m) = -2*m. Calculate o(c(p)).
-18*p**2
Let m(y) = -4*y**2 + 4*y. Let k(z) = -2*z - 31. What is m(k(w))?
-16*w**2 - 504*w - 3968
Let n(y) be the first derivative of -2*y**2 - 3. Let k(d) = 135*d**2 - 3*d - 2. Let j be k(-1). Let p(h) = h**2 + 136 - j. Calculate p(n(s)).
16*s**2
Let y(r) = 0*r**2 - r**2 + 0*r**2. Let n(p) = 2*p + 3. Suppose -5*w = 3*h, 0 = w - 2*w - h + 2. Let c(x) = -x - 2. Let m(z) = w*c(z) - 2*n(z). Give y(m(t)).
-t**2
Let l(q) = 154*q. Let w(s) = s - 3. Give w(l(u)).
154*u - 3
Let w(v) be the third derivative of -v**4/4 + 5*v**2. Let u(o) = -o**2 - 6*o - 6. Let m(i) = i**2 + 5*i + 5. Let d(s) = 6*m(s) + 5*u(s). Determine w(d(k)).
-6*k**2
Let y(s) = -s**2 + 551*s. Let x(d) = -26*d. What is y(x(l))?
-676*l**2 - 14326*l
Let d(g) = -3*g**2. Let i(s) = -5*s - 30 - 2*s - 2*s + 29 - 2*s. Determine i(d(r)).
33*r**2 - 1
Let t(b) = 2*b + 2. Let z(y) = 196*y - 10. Let o(q) = -5*t(q) - z(q). Let m(n) = 5*n**2. Give o(m(d)).
-1030*d**2
Let m(d) = 1377*d - 1. Let u(h) = -29*h**2. Calculate u(m(r)).
-54987741*r**2 + 79866*r - 29
Let k(l) = -29*l. Let d(f) be the second derivative of -1/6*f**4 + 0*f**2 + 0*f**3 - 2*f - 32. Give k(d(w)).
58*w**2
Let i(w) = -36*w. Let d(x) = 6291*x**2. What is i(d(u))?
-226476*u**2
Let i(l) be the third derivative of -l**5/30 + 2*l**2. Let d(w) = -w**2 - 7*w - 4. Let j be d(-6). Let b(r) = -3*r - j - 4 + 6. What is b(i(h))?
6*h**2
Let j(s) be the third derivative of -11*s**4/24 + s**2. Let x = 9 + -6. Let r(q) = x*q**2 - q**2 - q**2. What is r(j(h))?
121*h**2
Let j(c) = 2*c - 228. Let y(w) = -4*w**2 - 19. Determine j(y(n)).
-8*n**2 - 266
Let i(y) = 15*y - 6. Let j(n) = -4*n**2 - 10*n - 5. Let p(u) = u**2 + 4*u + 2. Let s(z) = 4*j(z) + 10*p(z). Calculate s(i(k)).
-1350*k**2 + 1080*k - 216
Let p(k) = k**2 - 6*k - 5. Let i be p(7). Let q(o) = 5*o**2 - 4*o**2 - o**2 - i*o**2. Let m(s) = -s - 4 + 4 - s. Determine m(q(n)).
4*n**2
Let a(w) = 4*w**2 + 11*w. Let h(t) = -12643*t. Calculate h(a(j)).
-50572*j**2 - 139073*j
Let q(h) be the second derivative of -h**4/4 - h - 6. Let b(g) = -4*g**2 - 13*g. Give b(q(f)).
-36*f**4 + 39*f**2
Let u(r) = 3 - 3 + 3 - 3 - 96*r. Let y(g) = -g. Determine u(y(p)).
96*p
Let z(k) be the first derivative of 2*k**3/3 + 383. Let h(p) = 2*p**2 - 4. Let g(b) = -b**2 + 5. Let q(c) = 4*g(c) + 5*h(c). Calculate z(q(o)).
72*o**4
Let f(q) = q - 111479. Let m(u) = -u**2. Calculate m(f(p)).
-p**2 + 222958*p - 12427567441
Let t(z) = z. Let l = 75 + -53. Let w(y) = -y. Let s(q) = -11*q. Let g(f) = l*w(f) - s(f). Give g(t(a)).
-11*a
Let l(f) = 4*f - 375 + 103 + 272. Let n(g) = 3*g**2 + 7*g. Let a(i) = 2*i**2 + 4*i. Let k(v) = -7*a(v) + 4*n(v). What is k(l(w))?
-32*w**2
Let j(r) = 55*r**2 - 33*r + 33. Let f(n) = n**2 + 0 - 3*n + 0*n**2 + 2*n + 1. Let w(x) = 33*f(x) - j(x). Let t(c) = -7*c**2 + 9*c**2 - c**2. What is t(w(y))?
484*y**4
Let l(p) = -8*p**2 + 12. Let v(a) = -7*a**2 + 10. Let w(j) = 5*l(j) - 6*v(j). Let y(c) be the first derivative of -10*c**3/3 - c + 2. Calculate y(w(u)).
-40*u**4 - 1
Let v(z) = 10178 + z - 10178. Suppose 6 = 2*y + 2. Let p(f) = 3*f**2 - 7*f**2 + 0*f**y. Calculate v(p(s)).
-4*s**2
Let r(i) = 2*i - 3. Let m be r(3). Suppose 3*j - 3 - m = 0. Let l(g) = -29*g**j + 12*g**2 + 26*g**2. Let x(q) = -q. Give l(x(k)).
9*k**2
Let t(u) = -1. Suppose -5*w = -10*w. Let y(k) = 0 + w - k + 1 + 5. Let i(c) = -6*t(c) - y(c). Let n(f) = -4*f**2. Calculate n(i(s)).
-4*s**2
Let r(l) be the second derivative of l**4/12 - 9*l. Let a(n) be the first derivative of 5*n**3/3 + 7. Calculate r(a(f)).
25*f**4
Let c(z) = 4282*z**2. Let k(h) = -h**2 - 36. Calculate k(c(y)).
-18335524*y**4 - 36
Let d be (-886)/(-13) - 36/234. Let n(g) = d*g**2 - 61*g**2 - 4*g + 4*g. Let t(p) = -2*p**2. Determine t(n(w)).
-98*w**4
Let h(l) = -32*l. Let g(v) = 2137*v. Determine g(h(f)).
-68384*f
Let m(f) be the second derivative of -4*f**3/3 + f. Let d(r) = -3*r + 14. Let s(v) = -5*v + 24. Let p(l) = 12*d(l) - 7*s(l). What is p(m(y))?
8*y
Let w(m) = 6361*m**2. Let a(h) = -12*h**2. Determine w(a(i)).
915984*i**4
Let m(p) = 509513*p**2. Let y(l) = -3*l**2. Give y(m(j)).
-778810491507*j**4
Let x(t) = 4*t. Let w(q) = -36*q + 13 + 3 - 16. Give x(w(p)).
-144*p
Let k(p) be the third derivative of p**4/12 - 33*p**2. Let w(m) = 39*m**2. What is w(k(t))?
156*t**2
Let i(y) = 18*y + 42*y - 15*y - 11*y. Let u(w) = 14*w. Deter | {
"pile_set_name": "DM Mathematics"
} |
212
4708 (base 10) to base 11
35a0
-312013 (base 6) to base 5
-1300230
999 (base 10) to base 16
3e7
What is -10111021 (base 3) in base 9?
-3437
What is -2c1 (base 13) in base 2?
-111101111
What is 122 (base 5) in base 3?
1101
2b66 (base 12) to base 3
21000120
Convert -2120111 (base 4) to base 9.
-14332
-1608a (base 12) to base 9
-46727
What is -1101100011 (base 2) in base 3?
-1012010
1999 (base 13) to base 14
1588
What is -1011001111000 (base 2) in base 11?
-435a
What is 1175 (base 9) in base 7?
2363
-6171 (base 8) to base 7
-12211
What is -412522 (base 6) in base 5?
-2024101
Convert 120 (base 15) to base 11.
212
260 (base 13) to base 10
416
Convert 11c62 (base 14) to base 2.
1010101001001110
-1165 (base 8) to base 5
-10004
What is 350 (base 7) in base 11?
156
303301 (base 4) to base 16
cf1
-826 (base 12) to base 3
-1121210
Convert 2444 (base 10) to base 8.
4614
-1cd0 (base 14) to base 4
-1102132
Convert 24 (base 15) to base 2.
100010
Convert 115225 (base 6) to base 12.
5b15
949 (base 11) to base 3
1120022
What is -200121 (base 3) in base 2?
-111110110
What is -2947 (base 10) in base 2?
-101110000011
-1010011001101111 (base 2) to base 7
-235135
-4890 (base 10) to base 8
-11432
What is 362 (base 9) in base 10?
299
553133 (base 6) to base 14
12b05
Convert 25145 (base 9) to base 6.
210105
-10210021 (base 3) to base 7
-11023
What is -2e2 (base 15) in base 2?
-1010010110
Convert -2303020 (base 4) to base 13.
-52ab
What is -1d9b (base 14) in base 6?
-41045
Convert 22300 (base 6) to base 15.
ddc
Convert 7413 (base 11) to base 6.
113235
a59 (base 14) to base 7
5642
-201101 (base 3) to base 16
-20b
9519 (base 13) to base 5
1130030
Convert -11200 (base 3) to base 8.
-176
What is b83a (base 14) in base 12?
164a4
Convert -420 (base 9) to base 14.
-1a6
What is 63440 (base 8) in base 14?
989a
-129b (base 13) to base 6
-20155
What is -854 (base 11) in base 15?
-487
Convert 163114 (base 7) to base 8.
77056
What is -111111110010 (base 2) in base 9?
-5535
-92 (base 13) to base 12
-9b
Convert 2631 (base 16) to base 3.
111102010
What is -54525 (base 6) in base 5?
-220131
-4e37 (base 15) to base 12
-97ba
Convert 4a72 (base 11) to base 10.
6613
Convert -11000010000 (base 2) to base 10.
-1552
What is 1001000002 (base 3) in base 9?
31002
42a2 (base 12) to base 2
1110010011010
-102134 (base 6) to base 16
-204a
-2a8 (base 14) to base 15
-260
What is -313413 (base 5) in base 6?
-120311
What is 25400 (base 7) in base 4?
1220321
10302 (base 6) to base 2
10101111110
-38147 (base 9) to base 5
-1310024
Convert 10424 (base 5) to base 10.
739
Convert 40273 (base 8) to base 7.
66212
-101012 (base 3) to base 2
-100010011
What is -1377 (base 12) in base 5?
-33001
What is -1521 (base 11) in base 5?
-30314
Convert -930 (base 14) to base 15.
-806
1103240 (base 5) to base 16
4afb
Convert -11030001 (base 4) to base 3.
-1002011000
Convert -3c9 (base 13) to base 15.
-2ec
What is 430320 (base 5) in base 11?
a956
Convert 12244 (base 6) to base 14.
948
What is 39a (base 15) in base 12?
584
-2556 (base 7) to base 3
-1100000
-1473 (base 12) to base 3
-10021120
Convert -82 (base 13) to base 2.
-1101010
Convert -25303 (base 9) to base 4.
-10021311
1cc (base 13) to base 15
177
Convert -9ab (base 12) to base 11.
-1088
9a5 (base 12) to base 3
1221122
Convert -32033 (base 4) to base 8.
-1617
What is 91 (base 16) in base 9?
171
What is 1131431 (base 5) in base 4?
11012002
What is 25561 (base 7) in base 16?
1a95
-1266 (base 9) to base 10
-951
-2726 (base 12) to base 3
-20011110
-160 (base 11) to base 9
-227
-2c0b (base 15) to base 6
-111445
Convert -367 (base 11) to base 6.
-2004
What is -122421 (base 5) in base 13?
-2204
What is 12a (base 13) in base 6?
541
102003 (base 4) to base 2
10010000011
What is -579 (base 10) in base 15?
-289
-3117 (base 13) to base 16
-1a7c
Convert 351 (base 9) to base 16.
121
Convert 563 (base 11) to base 7.
1652
What is 146 (base 9) in base 4?
1323
288a (base 14) to base 10
7178
What is -101012 (base 3) in base 15?
-135
Convert -231301 (base 5) to base 8.
-20206
221234 (base 5) to base 3
101112222
What is 103a (base 12) in base 16?
6ee
Convert c484 (base 15) to base 5.
2312044
Convert -65343 (base 7) to base 16.
-3fab
What is 1421031 (base 5) in base 3?
1111111012
Convert 7d07 (base 16) to base 8.
76407
What is -10022211 (base 3) in base 16?
-979
Convert -133300 (base 6) to base 3.
-122001000
767 (base 8) to base 7
1316
Convert -2367 (base 13) to base 9.
-6750
What is 102022220 (base 3) in base 2?
10000001000011
What is -15344 (base 7) in base 3?
-12220002
Convert -1010110101 (base 2) to base 12.
-499
Convert 3a19 (base 15) to base 14.
4739
-52d (base 15) to base 7
-3256
What is -1506 (base 8) in base 15?
-3ad
Convert 222 (base 10) to base 7.
435
-1933 (base 10) to base 13
-b59
-21000 (base 3) to base 11
-162
What is 122001 (base 3) in base 9?
561
-12270 (base 8) to base 13
-2550
What is 2212 (base 7) in base 3?
1002101
Convert -9289 (base 10) to base 13.
-42c7
597 (base 13) to base 4
33021
Convert -5673 (base 8) to base 11.
-2290
-3402 (base 5) to base 10
-477
What is -3ed7 (base 15) in base 16?
-34a5
1989 (base 12) to base 3
11021220
What is -4dc (base 14) in base 4?
-33102
31324 (base 6) to base 14
1780
What is 51491 (base 10) in base 8?
144443
Convert 50 (base 7) to base 6.
55
Convert 2672 (base 10) to base 9.
3588
2a40 (base 14) to base 10
7504
295 (base 12) to base 4
12101
What is 3994 (base 12) in base 2?
1100111000000
125a7 (base 13) to base 7
200641
What is 1001002 (base 5) in base 16?
3d88
What is 387 (base 9) in base 7?
640
What is -1444 (base 6) in base 13?
-23b
27175 (base 8) to base 12
6a79
Convert -3581 (base 15) to base 10.
-11371
What is -689 (base 15) in base 5?
-21404
What is -42340 (base 6) in base 15?
-1a83
Convert -37f (base 16) to base 13.
-53b
What is 1322 (base 5) in base 7?
422
4824 (base 15) to base 14
5834
-101101111100 (base 2) to base 11
-2233
Convert -3311 (base 7) to base 2.
-10010100000
Convert 351025 (base 6) to base 4.
13111121
Convert 44156 (base 7) to base 4.
2230322
Convert -293 (base 16) to base 2.
-1010010011
What is -54370 (base 9) in base 4?
-20302323
What is 1176 (base 9) in base 8?
1557
-310 (base 10) to base 6
-1234
What is 1269 (base 11) in base 9?
2231
What is 60624 (base 10) in base 11?
41603
Convert 2106 (base 7) to base 6.
3233
What is 2e79 (base 15) in base 11?
7584
Convert -1110110010 (base 2) to base 10.
-946
-13546 (base 11) to base 16
-4b59
What is -12525 (base 7) in base 2?
-110100010111
What is -32233 (base 6) in base 10?
-4413
Convert 3970 (base 12) to base 8.
14644
What is 110000101010101 (base 2) in base 10?
24917
Convert -5996 (base 11) to base 9.
-11681
Convert 2010122 (base 3) to base 2.
11000010100
-168a (base 13) to base 16
-cfd
1100011001 (base 2) to base 6
3401
What is -27677 (base 9) in base 7?
-105520
What is -2d4b (base 15) in base 14?
-37a2
What is 6a22 (base 11) in base 13?
4273
Convert -131 (base 7) to base 12.
-5b
What is -c991 (base 14) in base 13?
-12b05
Convert -330310 (base 4) to base 16.
-f34
What is -836 (base 16) in base 4?
-200312
What is -140223 (base 5) in base 11?
-4301
Convert 120031 (base 4) to base 6.
11101
What is 169 (base 10) in base 11?
144
What is -500 (base 6) in base 10?
-180
377 (base 9) to base 5
2223
-73e (base 15) to base 7
-4523
-1211113 (base 5) to base 9
-34065
-3770 (base 9) to base 7
-11133
-cc14 (base 13) to base 12
-14535
Convert 86 (base 14) to base 12.
9a
Convert 1015 (base 6) to base 8.
343
What is 21204 (base 5) in base 12?
9b1
Convert -8920 (base 13) to base 10.
-19123
What is 36307 (base 8) in base 9?
23307
Convert -3252 (base 10) to base 7.
-12324
-252304 (base 7) to base 10
-46456
What is -11011000101 (base 2) in base 11?
-1336
Convert 13079 (base 13) to base 4.
20212310
-1333321 (base 5) to base 10
-27336
What is -8d0 (base 14) in base 10?
-1750
-10312 (base 5) to base 4
-23003
Convert -2883 (base 12) to base 10.
-4707
What is 3123303 (base 4) in base 3?
201022000
Convert -24043 (base 10) to base 13.
-ac36
What is -2472 (base 8) in base 3?
-1211120
41157 (base 8) to base 2
100001001101111
What is -521 (base 12) in base 11?
-618
What is 1013 (base 7) in base 14?
1b3
Convert 4359 (base 12) to base 9.
11146
What is -323221 (base 7) in base 4?
-31300231
101 | {
"pile_set_name": "DM Mathematics"
} |
vide m(170)?
True
Suppose -3*d + 10 = 2*d. Suppose d*x = v - 6 + 20, 4*x - 18 = v. Does 3 divide (-122)/(-2) - (v - -11)?
True
Suppose 36 = 9*u - 18*u. Let r be 136 - (u - (0 + (-2 - -1))). Let n = -47 + r. Is 13 a factor of n?
False
Let r be 3*(6 + (-114)/18)*6. Does 3 divide ((1 - 3)/6)/(r/1062)?
False
Suppose -91872 = 535*w - 547*w. Does 69 divide w?
False
Let p(t) = 52*t**3 - t**2 - t + 2. Let i be p(-2). Let u = i + 584. Does 14 divide u?
True
Suppose 18303 = 2*u + w, 2*u + 5*w + 0*w = 18299. Is u a multiple of 11?
True
Suppose 2*c - f - 13147 = 0, 5*c - 4*f - 32875 = -0*f. Is c a multiple of 44?
False
Suppose 11 = -6*q - 7. Let x be 4 + (q/5 - 17/5). Suppose x = 2*k + 2*v - 94, -k + 59 = 6*v - 8*v. Is 13 a factor of k?
False
Is 179172/68 + 3 + (-294)/102 a multiple of 5?
True
Suppose 3*q = -5*r + 9173, 0 = r + 5*q + 611 - 2428. Is 5 a factor of r?
False
Let n(y) = -y**3 + 4*y**2 + 7*y + 3. Let d be n(5). Let x = d + 56. Suppose -h = 2*l - x, h = -0*h - 3*l + 66. Does 15 divide h?
True
Let a(g) = -10*g**3 + 14*g**2 + 69*g - 10. Is 32 a factor of a(-7)?
False
Let j(s) = 4*s - 44. Let a be j(14). Let z(w) = 81*w + 21. Let x be z(a). Suppose -57 = 9*p - x. Is p a multiple of 8?
True
Suppose 3*r - d - 278 = 0, -5*r = -4*r - 4*d - 100. Suppose v = -h + r, -6*v + v = -5*h + 490. Is 12 a factor of h?
False
Let o = -5703 + 7520. Does 23 divide o?
True
Suppose 0 = 4*m, -4*v - 6*m + 1636 = -m. Let s = 662 - v. Is s a multiple of 25?
False
Suppose 19*n + 142 = 20*n. Suppose -2*d = -4*l + n, 4*l - 26 - 137 = -5*d. Is l a multiple of 10?
False
Suppose -5*a + 16 = -4. Suppose -j - j - w = -12, -4*w = -3*j - a. Suppose -150 = -5*c - j*g, 4*g = -c + 34 - 4. Is c a multiple of 20?
False
Let r = 32 - 24. Let u be (-2)/r + (-232)/(-32). Suppose 450 = u*d - 2*d. Is 11 a factor of d?
False
Suppose -g = s + 4*s - 44, 4*g - 2*s = 132. Suppose h - g = 24. Is 20 a factor of h?
False
Let m(f) be the second derivative of 19/6*f**3 - 15/2*f**2 + 19*f + 0. Does 44 divide m(17)?
True
Suppose 37 - 73 = -6*z. Suppose 3*w - z*w = -3*v + 1869, 4*v = 2*w + 2482. Does 76 divide v?
False
Let m be ((-20)/(-12) - 4)*-3 + -4. Suppose 0*p - 726 = -m*p. Does 41 divide p?
False
Let y = 41936 - 17539. Does 20 divide y?
False
Suppose -k + 112 = -60. Let b = -25 + k. Is 20 a factor of b?
False
Suppose -19*m = 17*m - 144. Does 59 divide (11/m - 2) + (-3210)/(-8)?
False
Let f = -190 - -253. Suppose -f = 6*z - 393. Is z a multiple of 11?
True
Let l = 15258 - 10521. Is l a multiple of 14?
False
Is ((-118)/8)/((-11325)/596 - -19) a multiple of 59?
True
Let s(z) = z**2 + 11*z + 8. Let o = 22 + -17. Let i = -8 - o. Is s(i) a multiple of 7?
False
Suppose 0 = -36*w + 42471 - 4851. Is 6 a factor of w?
False
Let v(u) = 11*u**2 + u - 47. Let p(x) = -x - 1. Let c(r) = 4*p(r) + v(r). Let o be c(-8). Suppose -2*n = -5*h + 1156, 5*n - o - 493 = -5*h. Does 34 divide h?
False
Suppose 200*f - 1078893 = 42*f + 114481. Is f a multiple of 56?
False
Let k = -10 - 10. Let b(i) = -19*i + 10. Let m(c) = 22*c - 10. Let g(t) = 7*b(t) + 6*m(t). Is 17 a factor of g(k)?
False
Suppose -790*n - 26264 = -2*f - 794*n, -f = -4*n - 13096. Is 40 a factor of f?
True
Let v be 7*39/91 - 1*-1. Suppose -5*q + x + v*x = -1510, q = -4*x + 292. Is q a multiple of 50?
True
Let f = 45 + 19. Let d = f - 64. Does 6 divide d + (-144)/(-4 - 0) + 0?
True
Suppose -8*a + 186 = -318. Let l be (-2)/(-4)*3*2. Suppose -a = l*j - 180. Does 27 divide j?
False
Let o = -38084 + 57142. Suppose 5*k - o = -21*k. Is k a multiple of 12?
False
Let o(t) = t**2 + 21*t + 38. Let d be o(-19). Suppose 2*n + 4*h - 17 = n, 2*n - h - 7 = d. Suppose -333 = -n*y - 5*b + 632, b = 5*y - 995. Does 18 divide y?
True
Suppose 37*f = -12*f + 964271. Is 167 a factor of f?
False
Suppose -4*j + 3*r - 142 = -0*r, 2 = r. Let x be 21/(-9)*(-6)/(-4)*j. Let z = x + -78. Is z a multiple of 14?
False
Let g be (1 - -13)*5/10. Suppose 4*s - a - 14 = 0, 4*s + a = 11 + g. Suppose -s*b - 5*c = -6*b + 22, b - 2*c - 10 = 0. Is b a multiple of 6?
True
Suppose -5*l = -5*c + 11825, -l - 7089 = 75*c - 78*c. Does 47 divide c?
False
Let a = -29953 + 34210. Does 129 divide a?
True
Let s(x) be the second derivative of 4*x**3/3 - 40*x**2 + 51*x. Is 8 a factor of s(27)?
True
Let z = -208 + 192. Does 6 divide (144/z)/((-1)/((-62)/(-3)))?
True
Suppose -1 = 8*w - 73. Suppose z - 7220 = -w*z. Is z a multiple of 38?
True
Suppose -5*r = 3*i + 2425, -2*i + 2450 = -8*r + 3*r. Is 61 a factor of 32 - 31 - (1 + r)?
True
Let j be (-60)/42 + 1 - 76/(-14). Suppose 3*y - 5*h - 3130 = 0, j*y - 5*h - 824 = 4406. Is y a multiple of 35?
True
Let c = -28510 - -48532. Is c a multiple of 94?
True
Let w = -77434 - -119580. Is w a multiple of 37?
False
Let x = 484 - -824. Does 109 divide x?
True
Suppose -7*g + 8*g - 146 = 0. Suppose 0 = 64*q - 65*q + g. Suppose -21 = 5*a - q. Is 5 a factor of a?
True
Suppose -156*n = -167*n + 16038. Does 8 divide n?
False
Let o = 89 + -89. Let v(j) = -j**3 - 4*j + 228. Let t be v(o). Let g = -77 + t. Is 58 a factor of g?
False
Let q be (1 - (-393)/(-4)) + 18/(-24). Let p = -49 - q. Is 5 a factor of p?
False
Let c = -15 + 19. Let w(d) = 5*d + 8*d**2 + 5*d**2 + 7 - c. Is 35 a factor of w(-3)?
True
Let h be (-19)/57 - (-19)/3. Let j be (-9)/h*(-178)/3. Suppose -y - 4 = -j. Is y a multiple of 19?
False
Let c(u) be the second derivative of -u**5/20 + u**4/2 + 13*u**3/3 + 9*u**2/2 - 6*u + 3. Does 25 divide c(7)?
False
Suppose 4*r - 11477 = -5*u + 2692, -4*u = -3*r - 11298. Does 123 divide u?
True
Suppose -9*o + 11752 = 4*o. Suppose 6*i - o = 4*i. Is 40 a factor of i?
False
Let z be 0/(4/(-2)) + (-65)/(-1). Let a = 70 - z. Suppose -a*b + 3*g + 251 = 5*g, 4*b + g - 199 = 0. Is 8 a factor of b?
False
Suppose 123507 = 24*s - 20*s + a, 2*a - 154386 = -5*s. Is 62 a factor of s?
True
Let q(p) = -2 - 10 - 6*p**2 + 2*p**3 + 1 - 9*p - 3*p**3. Let t be q(-5). Let m(v) = v**2 + 3*v - 20. Is 9 a factor of m(t)?
False
Suppose 92 = 5*o + 4*y, -20*y - 25 = -o - 23*y. Suppose 0 = 3*h - 3*j - 552, 0 = -j - 3*j - o. Is h a multiple of 10?
True
Let o(w) = 376*w**3 + 2*w**2 + 8*w - 17. Let l be o(2). Suppose d - 512 = -5*v + 513, -3*d - 3*v + l = 0. Is d a multiple of 25?
True
Is 107 a factor of (-6527*(-10 + 11))/(-1)?
True
Let z = 59540 + -39375. Does 96 divide z?
False
Suppose -19*x + 17*x + 832 = 0. Let u = -124 + x. Does 46 divide u?
False
Let d = 20 - 13. Suppose -d*v + 10*v = 12. Is 13 a factor of 3 + (4 - v) + 96?
False
Suppose 68*y = 65*y + 20748. Does 11 divide y?
False
Let d(z) = -1316*z + 154. Does 10 divide d(-3)?
False
Suppose -29 = -3*t + 22. Suppose -t*f - 60 = -13*f. Does 5 divide (2 - 1)/(1/f*-3)?
True
Let f be (-1)/(-4) + (-2997)/(-444). Suppose -f*h - 3840 = -11*h. Does 20 divide h?
True
Let y(o) = 883*o - 11. Is 4 a factor of y(11)?
False
Suppose 2*y - 5*n - 5793 = 0, -4*n + 14374 = 5*y - 59. Does 27 divide y?
True
Suppose 525 = 17*g - 10627. Let f = g - -138. Is 8 a factor of f?
False
Let d be (-26)/10 - (54/(-15))/6. Is 29 a factor of (4/(-4 + 0))/(d/290)?
True
Let y = -619 - -1020. Does 7 divide 5 - (-5 + 0 - y - 2)?
True
Is 9 a factor of 14*227 + (61 - 59)?
False
Suppose 55 = -4*r + 2*t - 99, 4*t + 52 = -2*r. Let c be 1/4 + (-171)/r. Suppose 397 = 4*d - 0*x - x, c*d = x + 497. Is 20 a factor of d?
True
Let w be (-44)/(-374) + 268/34. Suppose 0 = -3*o + 4*l - 0 + 8, 4*l + w = o. Suppose -4*y = -4*z + 6*z - 90, o = 4*z + 4. Does 23 divide y?
True
Suppose 82480 = 36*s - 16*s. Does 77 divide s?
False
Let p(x) = -120*x**2 - 7*x + 6. Let o(r) = -239*r**2 - 15*r + 12. Let d(n) = 2*o(n) - 5*p(n). Is 29 a factor of d(1)?
False
Suppose 10 = -3*o + o, o = -5*i + 280. Let k(r) = r + 116. Let t be k(4). Suppose i + t = 3*n. Is n a multiple of 17?
False
Let l(t) = 143*t**2 + 1. Suppose -2*z + 3*c - c = 12, -28 = 4*z - 2*c. Let k be (8 + z)/(1 - 0) + -1. Is 19 a factor of l(k)?
False
Let d = 220 - 215. Suppose k + 124 = d*m, -k = 3*m - 2*k - 74. Is m a multiple of 25?
True
Let c(h) be the first derivative of 124*h**2 - 2*h - 198. Is 33 a factor of c(4)?
True
Let q be ((1 + -11)*15/(-25))/2. Suppose -5*r = q*j - 244, 3*j + 4*r + 0*r - 242 = 0. Suppose 3*m - 4*m + j = -3*s, -4*m = -2*s - 332. Does 12 divide m?
True
Let g(m) = -25*m + 7. Let n be g(6). Let i = n - -188. Does 9 divide i?
True
Let y = | {
"pile_set_name": "DM Mathematics"
} |
98 = -5*v + u. What is the highest common divisor of 22 and v?
11
Let u(s) = -s**3 + 3*s**2 + 20*s - 9. Let m be u(7). Let x = m + 85. What is the greatest common factor of x and 70?
10
Let k = 321 + -166. Let v(g) = -g**3 - 36*g**2 - 3*g - 46. Let a be v(-36). What is the highest common divisor of k and a?
31
Let y be (53 - 9 - 9) + 1*-2. What is the greatest common factor of 12 and y?
3
Let g be 3/(5/((-10)/3)). Let i = g - 1. Let f = 17 - i. What is the highest common divisor of 4 and f?
4
Suppose -2*p + 3 = -p - f, 3*p - 2*f - 10 = 0. Calculate the highest common factor of p and 8.
4
Suppose -l + 10 + 12 = -5*v, v = -5*l + 162. Suppose 3*c - 320 = -c. Calculate the highest common divisor of l and c.
16
Suppose 0 = u + 5*x - 41, -4*u + 5*x + 71 = -3*u. What is the highest common divisor of 98 and u?
14
Suppose 1216 = 25*f - 6*f. Calculate the greatest common factor of 40 and f.
8
Suppose -q = -3*q. Suppose q = -3*a + y + 43 + 19, 0 = y + 5. What is the greatest common divisor of 19 and a?
19
Let h = 431 + -416. What is the greatest common factor of h and 285?
15
Let p(f) = -2*f + 25. Let a be p(11). Suppose h = a*h - 18. Let n be ((-3)/7)/((-3)/21). What is the greatest common factor of n and h?
3
Let i(w) = w**2 + 4 - 1 - 5*w + 2*w. Suppose 0 = 5*y - 4*a - 26, a - 19 = -y - 2*y. Let s be i(y). What is the greatest common factor of 21 and s?
21
Suppose 0 = -5*g - 2*a + 77, 2*g + 5*a - 14 = -0*g. Suppose -g*z = -13*z - 12. What is the greatest common divisor of z and 3?
3
Let k(y) = 3*y**2 + 5*y + 12. Let u be k(6). Let n be 15/10*u/9. What is the greatest common divisor of 200 and n?
25
Let w be 1/2 - 164/(-8). Suppose -24*t + 120 = -w*t. Calculate the highest common divisor of t and 8.
8
Suppose 3*b = 3*i - 7 - 2, -12 = -b - 2*i. Let c be b/1*(-2 - -1). Let w be c*3*32/(-6). Calculate the highest common divisor of 48 and w.
16
Let q(a) = 2*a**2 + 22*a + 4. Let h be q(-11). Suppose 3*v - v = 0. Suppose 2*t - 8 = v, -h*t + 101 = m + 8. What is the highest common divisor of m and 11?
11
Suppose z = -5*h + 20, 3*h + 16 = z + 4*z. Suppose d - 11 - 2 = -2*r, h*r = -d + 17. What is the highest common factor of 40 and d?
5
Let y = 221 - 108. Suppose 3*s + y = -106. Let p = s - -460. Calculate the greatest common factor of p and 43.
43
Let j = -634 - -661. What is the greatest common factor of j and 21?
3
Let w = 7 + -9. Let r be (w/6)/((-5)/(-50))*-3. Calculate the greatest common factor of 130 and r.
10
Suppose -8*b + 123 = -13. Calculate the greatest common divisor of 17 and b.
17
Let l be (-4)/10 + (-52)/20. Let v be -1 + l/(9/(-69)). Let z(w) = -w**3 - 8*w**2 - 23*w - 57. Let q be z(-7). What is the highest common factor of v and q?
11
Let l(n) = 2*n + 18. Let k be l(-10). Let q be (-2)/1 - -36 - k. What is the greatest common divisor of q and 18?
18
Let s be 1*(18 - 0) + -2. Let c = -1 - -6. Suppose -c*d = 4*f - 103, -6*f + 2*f + 2*d = -138. What is the greatest common factor of s and f?
16
Suppose -4*v - 39 - 21 = 0. Let y = -13 - v. Let t be (-6 - 0)*y/(-4). What is the greatest common factor of t and 12?
3
Suppose -3*i + 8*i - y = 465, -4*i + 2*y = -366. What is the highest common divisor of 799 and i?
47
Let v(d) = 4*d**2 + 10*d - 344. Let u be v(12). Calculate the greatest common divisor of u and 32.
32
Suppose 5*j - 164 - 6 = 0. Let p(z) = 230*z + 8. Let l be p(1). What is the highest common factor of j and l?
34
Let z = -8 + 29. Suppose 0 = 13*c - 16*c + z. Let l be ((-42)/(-8))/c*60. Calculate the highest common divisor of l and 18.
9
Let q = -515 - -525. Calculate the highest common factor of q and 400.
10
Let j(h) = -h**3 + h**2 + h + 72. Let n be j(0). Let p = 22 + -1. Let q = n - p. Calculate the greatest common divisor of 17 and q.
17
Let p = 227 + -189. Calculate the highest common divisor of p and 209.
19
Suppose -54*r = -49*r - 205. Calculate the greatest common factor of 123 and r.
41
Suppose -53 = -5*o + 27. Suppose 3*v - 8*v = -135. Suppose 75 - v = 3*w. Calculate the greatest common factor of o and w.
16
Suppose -15*n = -14*n - 331. Let i = -171 + n. Suppose -3*k = 15 - 75. What is the greatest common factor of k and i?
20
Let u = -4 - -2. Let i(b) = b**2. Let x be i(u). Suppose -x*a + 3 + 45 = 0. Calculate the greatest common factor of a and 36.
12
Suppose 22*s - 3910 = 5*s. Calculate the greatest common divisor of s and 50.
10
Let g be (-27)/(-12)*(-64)/(-2). Suppose -3*c + g = -2*c. Suppose -3*y = -21*y + 144. What is the highest common factor of y and c?
8
Let k be 300/12*(-1)/(-5). Let m be 27/k + 39/65. What is the highest common divisor of 6 and m?
6
Let m be (9/6)/((-1)/20). Let q be m + (2 - (1 + -2)). Let a = q - -41. What is the greatest common factor of 42 and a?
14
Let r(s) = s**3 + 12*s**2 + 2*s + 15. Let f be r(-12). Let k(c) = -2*c - 7. Let p be k(f). What is the highest common factor of p and 99?
11
Let x = 4360 + -3048. Calculate the greatest common factor of x and 41.
41
Suppose 2*c = d + 54, 10*c - 5*c - d = 135. Let q be 186 + (2 - ((-24)/4)/6). Calculate the highest common factor of c and q.
27
Let d(s) = -s**3 + 7*s**2 + 47*s - 7. Let g be d(11). Calculate the greatest common divisor of g and 234.
26
Let m be 1/(6/4 + -1). Suppose 0 = m*i + i + 36. Let h = 33 - i. Calculate the highest common divisor of 30 and h.
15
Suppose -3*z + 17 = 5*s, 0 = 4*s + z - 19 + 4. Let o be ((-230)/s)/(17/(-34)). What is the highest common factor of 23 and o?
23
Suppose 0 = -4*q - 0*q + 12. Let b be (-96)/(-5) - (80/25 - q). What is the greatest common divisor of 38 and b?
19
Let c = 5 - -9. Let w be (2 - -31) + c + -10. Let v = w + -22. What is the highest common factor of 5 and v?
5
Suppose 4*f + 0*g = 5*g - 156, 4*g = 3*f + 118. Let i = f + 42. Suppose 3*j - 32 = -8. What is the greatest common factor of i and j?
8
Let x(h) = h - 9. Let b be x(14). Suppose 0 = -o - b + 7. What is the highest common factor of 22 and o?
2
Let r(d) = d**3 - 2*d**2 - 8*d + 4. Let o be r(4). Calculate the highest common factor of 12 and o.
4
Let h be 204*((-6)/9 - 1). Let a = 1232 + -708. Let b = h + a. What is the greatest common divisor of 23 and b?
23
Suppose -5*v = k + 113, 0 = -0*v - 2*v - k - 47. Let w = v + 32. What is the highest common factor of 2 and w?
2
Suppose -5*b + 0 = -30. Suppose 27*k - 24*k - 96 = 0. Let p be (34 - k) + (0 - -40). Calculate the greatest common divisor of b and p.
6
Suppose 0 = 287*u - 289*u + 648. Calculate the greatest common factor of 12 and u.
12
Suppose 0 = -4*a + 2*c + 2982, -2*a + 58*c = 55*c - 1497. What is the greatest common divisor of 93 and a?
93
Let s be (28/35)/((-1)/(-30)). Let i = s - 20. What is the highest common divisor of 28 and i?
4
Suppose 0 = -2*u - 2*s + 604 - 22, 5*s = u - 297. What is the greatest common factor of u and 511?
73
Suppose 5*d + 60 - 135 = -5*s, -3*d = -2*s + 5. Calculate the greatest common divisor of s and 415.
5
Let r(u) = u**2 - 12. Let k be (-2)/((14/(-140))/(2/8)). Let w be r(k). What is the greatest common divisor of w and 117?
13
Suppose -3*j - b = j - 287, 343 = 5*j - 4*b. Suppose -4*d + 5*d = j. Let w = d - 50. What is the greatest common factor of w and 3?
3
Suppose -3*t + 191 = 5*c, 2*t + 35 - 189 = -4*c. Let y be (30/(-40))/((-2)/c). What is the greatest common divisor of 3 and y?
3
Suppose 54*o = 43*o + 110. Let v be 162/4 - 2/4. Calculate the greatest common factor of o and v.
10
Let b = 15 + -23. Let y be (b/(-6) - 0)*(2 + 1). Calculate the highest common divisor of y and 28.
4
Suppose 41 = 4*v - r - 7, 0 = 3*v - 5*r - 19. What is the greatest common divisor of 2 and v?
1
Suppose 27*d - 899 = 1045. What is the highest common factor of d and 44?
4
Let z(h) = h**2 + 11*h + 6. Let k(m) = -12*m**3 + 2*m**2 + m - 2. Let i be k(1). Let s be z(i). Calculate the highest common factor of 6 and s.
6
Let n = 382 - 312. What is the highest common divisor of n and 385?
35
Suppose 0 = -4*s - 3*a + 599 - 24, -25 = -5*a. Calculate the greatest common factor of 35 and s.
35
Suppose -2*b = 3*b - 10. Suppose -32 = -b*p + 2. Calculate the highest common factor of p and 187.
17
Suppose 251 = 3*r + 20. Suppose -4*j = 2*w + j + 31, 5*j + 16 = 3*w. Let n = r - w. Calculate the highest common factor of 8 and n.
8
Suppose 3*h + 292 = 4*u, -2*u + 172 = 6*h - h. Let s = u + | {
"pile_set_name": "DM Mathematics"
} |
is the o'th term of 239380, 239383, 239386, 239389, 239392, 239395?
3*o + 239377
What is the l'th term of -5688, -11343, -16998, -22653?
-5655*l - 33
What is the l'th term of -76676, -76674, -76672?
2*l - 76678
What is the l'th term of 49364, 49371, 49376, 49379?
-l**2 + 10*l + 49355
What is the t'th term of 39239, 156941, 353111, 627749?
39234*t**2 + 5
What is the i'th term of -12, 69, 326, 861, 1776, 3173, 5154?
17*i**3 - 14*i**2 + 4*i - 19
What is the c'th term of 180, 597, 1458, 2973, 5352, 8805, 13542?
35*c**3 + 12*c**2 + 136*c - 3
What is the w'th term of 7057, 14118, 21179, 28240?
7061*w - 4
What is the b'th term of 16676, 33207, 49738, 66269?
16531*b + 145
What is the l'th term of -153072, -153074, -153076, -153078?
-2*l - 153070
What is the g'th term of -144, -63, 18, 99?
81*g - 225
What is the h'th term of 758, 575, 392, 209, 26?
-183*h + 941
What is the p'th term of 12178, 48733, 109658, 194953?
12185*p**2 - 7
What is the y'th term of 33157, 33155, 33153?
-2*y + 33159
What is the k'th term of 63475, 63507, 63553, 63619, 63711, 63835, 63997, 64203?
k**3 + k**2 + 22*k + 63451
What is the s'th term of -2729261, -2729258, -2729255?
3*s - 2729264
What is the f'th term of 9782, 9788, 9794, 9800, 9806, 9812?
6*f + 9776
What is the p'th term of 19371, 38750, 58129, 77508, 96887, 116266?
19379*p - 8
What is the y'th term of -130315, -130312, -130307, -130300?
y**2 - 130316
What is the r'th term of -20, 2, 38, 88, 152, 230, 322?
7*r**2 + r - 28
What is the d'th term of 24379, 24390, 24415, 24460, 24531?
d**3 + d**2 + d + 24376
What is the u'th term of -115, -221, -309, -373, -407, -405, -361?
u**3 + 3*u**2 - 122*u + 3
What is the i'th term of 539, 718, 1011, 1424, 1963, 2634?
i**3 + 51*i**2 + 19*i + 468
What is the i'th term of 127, 672, 1579, 2848, 4479, 6472, 8827?
181*i**2 + 2*i - 56
What is the z'th term of 36870, 147551, 332020, 590277?
36894*z**2 - z - 23
What is the i'th term of 7224, 7218, 7206, 7188, 7164, 7134, 7098?
-3*i**2 + 3*i + 7224
What is the g'th term of 1149, 4590, 10331, 18378, 28737?
g**3 + 1144*g**2 + 2*g + 2
What is the h'th term of 37950, 75900, 113850, 151800?
37950*h
What is the r'th term of 7383, 7398, 7413, 7428, 7443?
15*r + 7368
What is the l'th term of 5274, 10559, 15868, 21213, 26606?
2*l**3 + 5271*l + 1
What is the r'th term of 181, 683, 1503, 2641?
159*r**2 + 25*r - 3
What is the v'th term of 3208, 6425, 9634, 12829, 16004?
-v**3 + 2*v**2 + 3218*v - 11
What is the q'th term of 367, 510, 753, 1102, 1563, 2142?
q**3 + 44*q**2 + 4*q + 318
What is the i'th term of -8134, -8295, -8580, -9001, -9570, -10299, -11200, -12285?
-2*i**3 - 50*i**2 + 3*i - 8085
What is the b'th term of -527, -3694, -8973, -16364, -25867, -37482?
-1056*b**2 + b + 528
What is the l'th term of -361, -529, -697, -865, -1033, -1201?
-168*l - 193
What is the n'th term of 14, 229, 814, 1955, 3838, 6649?
31*n**3 - n**2 + n - 17
What is the q'th term of -6007, -12008, -17995, -23962, -29903, -35812?
q**3 + q**2 - 6011*q + 2
What is the d'th term of 1364, 5492, 12372, 22004?
1376*d**2 - 12
What is the z'th term of -748, -639, -454, -193?
38*z**2 - 5*z - 781
What is the o'th term of -609, -1215, -1823, -2433, -3045, -3659, -4275?
-o**2 - 603*o - 5
What is the n'th term of 60117, 60125, 60145, 60183, 60245, 60337, 60465?
n**3 + n + 60115
What is the w'th term of -4916, -4975, -5074, -5213, -5392, -5611, -5870?
-20*w**2 + w - 4897
What is the u'th term of -56401, -56402, -56401, -56398, -56393, -56386, -56377?
u**2 - 4*u - 56398
What is the z'th term of 7974, 15881, 23788?
7907*z + 67
What is the y'th term of -29780, -59574, -89368, -119162, -148956, -178750?
-29794*y + 14
What is the d'th term of -5054, -10120, -15186?
-5066*d + 12
What is the n'th term of -216285, -432571, -648859, -865149, -1081441?
-n**2 - 216283*n - 1
What is the w'th term of 296, 1476, 3450, 6224, 9804, 14196?
w**3 + 391*w**2 - 96
What is the y'th term of -1691, -3346, -5001?
-1655*y - 36
What is the l'th term of 5942, 11306, 16660, 21998, 27314, 32602, 37856, 43070?
-l**3 + l**2 + 5368*l + 574
What is the v'th term of -24625, -49341, -74055, -98767, -123477, -148185, -172891?
v**2 - 24719*v + 93
What is the l'th term of 3889, 7772, 11651, 15526, 19397, 23264, 27127?
-2*l**2 + 3889*l + 2
What is the v'th term of -52, -221, -530, -1003, -1664, -2537, -3646, -5015?
-4*v**3 - 46*v**2 - 3*v + 1
What is the u'th term of 979, 3853, 8647, 15361, 23995, 34549?
960*u**2 - 6*u + 25
What is the d'th term of -16, -40, -52, -28, 56, 224?
4*d**3 - 18*d**2 + 2*d - 4
What is the r'th term of -2032, -4051, -6070?
-2019*r - 13
What is the l'th term of 61314, 61319, 61326, 61335, 61346, 61359?
l**2 + 2*l + 61311
What is the t'th term of 16, -299, -614, -929, -1244?
-315*t + 331
What is the c'th term of 44, 141, 212, 263, 300, 329, 356, 387?
c**3 - 19*c**2 + 147*c - 85
What is the t'th term of 947, 945, 941, 935, 927, 917?
-t**2 + t + 947
What is the f'th term of 1127704, 1127699, 1127692, 1127683?
-f**2 - 2*f + 1127707
What is the h'th term of -87033, -87056, -87125, -87264, -87497, -87848?
-4*h**3 + h**2 + 2*h - 87032
What is the q'th term of -31825, -31836, -31849, -31864, -31881?
-q**2 - 8*q - 31816
What is the b'th term of -64339, -64340, -64341, -64342, -64343?
-b - 64338
What is the r'th term of 3106, 6078, 8916, 11614, 14166, 16566?
-r**3 - 61*r**2 + 3162*r + 6
What is the b'th term of -732, -1463, -2206, -2967, -3752?
-b**3 - 724*b - 7
What is the n'th term of 580, 2246, 5018, 8896, 13880, 19970?
553*n**2 + 7*n + 20
What is the g'th term of -129429, -129424, -129419?
5*g - 129434
What is the w'th term of -242, -989, -2234, -3977, -6218, -8957?
-249*w**2 + 7
What is the a'th term of 540, 800, 1236, 1848?
88*a**2 - 4*a + 456
What is the z'th term of -162339, -162343, -162347, -162351, -162355, -162359?
-4*z - 162335
What is the p'th term of 12, 56, 114, 192, 296, 432, 606, 824?
p**3 + p**2 + 34*p - 24
What is the d'th term of 102698, 102696, 102706, 102734, 102786?
d**3 - 9*d + 102706
What is the a'th term of 460, 872, 1284, 1696?
412*a + 48
What is the r'th term of 359391, 718784, 1078177, 1437570, 1796963, 2156356?
359393*r - 2
What is the d'th term of 6247936, 6247934, 6247932, 6247930, 6247928, 6247926?
-2*d + 6247938
What is the p'th term of 178, 376, 568, 754, 934, 1108, 1276?
-3*p**2 + 207*p - 26
What is the s'th term of 249, 374, 519, 690, 893, 1134, 1419, 1754?
s**3 + 4*s**2 + 106*s + 138
What is the t'th term of -7237, -7243, -7249, -7255, -7261?
-6*t - 7231
What is the j'th term of -16865, -33733, -50601, -67469?
-16868*j + 3
What is the n'th term of -442447, -442438, -442429, -442420, -442411?
9*n - 442456
What is the n'th term of 74, 550, 1840, 4352, 8494?
68*n**3 - n**2 + 3*n + 4
What is the d'th term of -1718, -1731, -1756, -1799, -1866, -1963, -2096, -2271?
-d**3 - 6*d - 1711
What is the f'th term of 7977, 32005, 72051, 128115, 200197, 288297?
8009*f**2 + f - 33
What is the y'th term of 255, 397, 469, 435, 259?
-6*y**3 + y**2 + 181*y + 79
What is the f'th term of -122, -935, -3178, -7577, -14858, -25747, -40970?
-121*f**3 + 11*f**2 + f - 13
What is the n'th term of -8798, -8780, -8760, -8738, -8714?
n**2 + 15*n - 8814
What is the n'th term of 269, 675, 1167, 1787, 2577, 3579, 4835, 6387?
7*n**3 + n**2 + 354*n - 93
What is the c'th term of 187, 1010, 3239, 7576, 14723, 25382, 40255?
117*c**3 + c**2 + c + 68
What is the u'th term of 22, -139, -578, -1433, -2842, -4943, -7874, -11773?
-23*u**3 - u**2 + 3*u + 43
What is the t'th term of 72467, 72468, 72469, 72470, 72471?
t + 72466
What is the j'th term of 31283, 62569, 93855, 125141?
31286*j - 3
What is the o'th term of -272938, -545878, -818818, -1091758, -1364698, -1637638?
-272940*o + 2
What is the b'th term of -198, -343, -482, -615, -742?
3*b**2 - 154*b - 47
What is the i'th term of -65, -433, -801, -1169?
-368*i + 303
What is the p'th term of 2359, 993, -1273, -4433, -8481, -13411, -19217?
p**3 - 456*p**2 - 5*p + 2819
What is the a'th term of -36483, -72979, -109475, -145971, -182467, -218963?
-36496*a + 13
What is the w'th term of 1111, 4445, 10013, 17821, 27875, 40181?
w**3 + 1111*w**2 - 6*w + 5
What is the y'th term of 39730, 39731, 39732, 39733, 39734, 39735?
y + 39729
What is the t'th term of 362, 468, 568, 662, 7 | {
"pile_set_name": "DM Mathematics"
} |
ind the second derivative of 23134688*d**5 + 4*d**4 - d**2 + 379182618*d + 2 wrt d.
462693760*d**3 + 48*d**2 - 2
Find the third derivative of 31*a**4 + 152*a**3*s**2 + 26*a**3 + 6*a**2*s**2 + 9*a**2 - a*s**2 + 16*a - 5*s wrt a.
744*a + 912*s**2 + 156
What is the third derivative of q**3*y**2 - 152755*q**3*y - 578*q**3 + 1824985*q**2*y**2 + q**2*y + 3*q**2 - 5*q*y**2 + 1 wrt q?
6*y**2 - 916530*y - 3468
Find the first derivative of 3187409*z - 43392417 wrt z.
3187409
What is the second derivative of -38275877*z**2 + 157363377*z wrt z?
-76551754
Find the second derivative of r*s**2*y**2 + 2463*r*s**2*y + 156*r*s**2 + 35279060*r*s*y**2 + 23*r*s - 1 wrt y.
2*r*s**2 + 70558120*r*s
Differentiate -190863*k*m**3 - 11*k - 764*m**3 - 21056*m with respect to k.
-190863*m**3 - 11
What is the third derivative of 49*r**6 + 135983*r**5 + 22*r**2 - 186*r - 284 wrt r?
5880*r**3 + 8158980*r**2
What is the third derivative of 1097*w**6 - 14*w**4 + 2468*w**3 - 557769820*w**2?
131640*w**3 - 336*w + 14808
Find the third derivative of -193*m*w**4 - 25*m*w**3 + 207*m*w + 4*w**4 - 56*w**3 + 251689*w**2 wrt w.
-4632*m*w - 150*m + 96*w - 336
Find the second derivative of -575004*r**4*x - 3*r**2*x**2 - 956*r*x**2 + 2*r + 2288*x**2 - x wrt r.
-6900048*r**2*x - 6*x**2
Find the third derivative of 692242434*p**3*r - 2*p**2*r - 9*p**2 + 3392168*p wrt p.
4153454604*r
What is the third derivative of -n**6*p + 1322592*n**5*p + 33504758*n**2*p wrt n?
-120*n**3*p + 79355520*n**2*p
What is the third derivative of 640143*o**4*p - 36*o**3*p + 23*o**2*p - 12*o**2 - 3*p - 8 wrt o?
15363432*o*p - 216*p
Differentiate 44185325*s**3 + 12982785.
132555975*s**2
What is the third derivative of -4324328*p*w**3 + 2*p*w**2 + p*w - p - 28*w**3 + 18*w**2 + 120588 wrt w?
-25945968*p - 168
Find the second derivative of 2*o*t**3 + 15*o*t**2 + 14919*o*t - o - t**3 + 3787667*t**2 - 9*t - 22 wrt t.
12*o*t + 30*o - 6*t + 7575334
What is the second derivative of -25918*l*n**3 + 11*l*n**2 + 526*l*n + n**2 + 877270*n wrt n?
-155508*l*n + 22*l + 2
What is the third derivative of 4845188*i**5 - i**2 - 12446*i + 1 wrt i?
290711280*i**2
Find the second derivative of m*x**4 + 654874*m*x**3 - 2*m*x + 4*m + 47*x - 57 wrt x.
12*m*x**2 + 3929244*m*x
Find the first derivative of 13915840*q**3 - 41267063.
41747520*q**2
What is the derivative of 40568783*v**2 + 34894166?
81137566*v
Find the second derivative of -1720324*k**3*z + 26*k**3 - 6*k*z + 7518*k + 2370*z wrt k.
-10321944*k*z + 156*k
Find the third derivative of -477920997*l**3 - 13352*l**2 - 13*l - 300 wrt l.
-2867525982
Find the third derivative of 33627985*v**3 + 72*v**2 - 610654*v.
201767910
Find the first derivative of 8883760*g + 2533214.
8883760
Find the third derivative of 59407*z**4 - 747*z**3 - 86956422*z**2 wrt z.
1425768*z - 4482
What is the second derivative of -13*i**3*r - 93779005*i**3*y**3 - 18954214*i**2*y + 3*r*y**3 wrt y?
-562674030*i**3*y + 18*r*y
What is the derivative of 19*j*m**2 - 3585257*j*m + 527662415*m**2 wrt j?
19*m**2 - 3585257*m
What is the first derivative of -26777141*o**2 + 53109903 wrt o?
-53554282*o
What is the first derivative of -7965*v*w**2 - 1083*v*w - 11272681*v - 3*w**2 wrt w?
-15930*v*w - 1083*v - 6*w
Find the third derivative of 5147006*a*b**5 + 3*a*b**2 - 4*a*b - 135*a - b**6 - 2*b**2 + 8*b + 5 wrt b.
308820360*a*b**2 - 120*b**3
Differentiate -281078826*y - 125821482.
-281078826
What is the derivative of 187320*j**2 + 27*j*y - 195665*y + 4 wrt j?
374640*j + 27*y
Find the first derivative of 11*d**2*i**2 + 3380963*d**2*i*q - 2*d**2 + d*i**2*q - 6*d*i**2 + 6230*d*i - i wrt q.
3380963*d**2*i + d*i**2
What is the second derivative of -420901487*y**2 + 42527800*y - 3?
-841802974
What is the third derivative of -1215476*c**5 - 121*c**2 + 2507 wrt c?
-72928560*c**2
Find the third derivative of -8150772*m**4 - 3*m**3 + 57015858*m**2.
-195618528*m - 18
Find the third derivative of 147*o**4 - 15965*o**3 + 129*o**2 - 26620*o + 2 wrt o.
3528*o - 95790
What is the derivative of -231511096*k**3 + 128336880?
-694533288*k**2
What is the derivative of 24172959*b**4 + 7333066 wrt b?
96691836*b**3
What is the third derivative of -21039046*i**3 - 5*i**2 - 11*i + 69487 wrt i?
-126234276
What is the derivative of -454345893*u**2 - 106592026?
-908691786*u
What is the derivative of 2*b**2*w**2 - 6684102*b*w + 23277995*w**2 wrt b?
4*b*w**2 - 6684102*w
What is the derivative of j**3*l*q + 4*j**3 + j**2*l**3 - 37*j*l**2 + 85*j*l + 1579413*l**3*q wrt q?
j**3*l + 1579413*l**3
Differentiate -2*g*x**2 - 2*g*x + 130073*g - 2*x**2 + 5040*x - 871 with respect to g.
-2*x**2 - 2*x + 130073
Differentiate 2820375*x**3 + 27194502 wrt x.
8461125*x**2
Find the third derivative of 198631518*x**4 + x**3 + 6697*x**2 - 1144*x + 2.
4767156432*x + 6
Find the second derivative of 264*c**3 - 173983*c**2 + 94155193*c wrt c.
1584*c - 347966
What is the third derivative of -h**3*r + 19189*h**3 - 10727425*h**2*r wrt h?
-6*r + 115134
Find the third derivative of -28321*m*s**3 - 27262083*m + 74*s**3 - s**2 wrt s.
-169926*m + 444
Find the second derivative of -509951*d*j**5 + d*j**2 - 1293*d*j - 410*d - j wrt j.
-10199020*d*j**3 + 2*d
Find the second derivative of -5*j**3*n**3 - j**3*n**2 + 2*j**3*n + 12*j**2*o + 3*j*n - 2*j + 115682*n**2*o - 674*n wrt n.
-30*j**3*n - 2*j**3 + 231364*o
What is the derivative of -12897532*u**3 + 5042352 wrt u?
-38692596*u**2
Differentiate 677427798*l**3*n + 1510070416*l**3 wrt n.
677427798*l**3
What is the second derivative of 14*f**3*z + 394*f**3 + 401*f**2*z - 7*f**2 - 691*f*z - 4*f + 23728*z wrt f?
84*f*z + 2364*f + 802*z - 14
Find the first derivative of 8128*z**3 - 2725*z**2 + 3*z + 508017012.
24384*z**2 - 5450*z + 3
Find the second derivative of -2*i**4 + 9371*i**2*z**3 + 98*i**2*z + 239973*i*z**3 + i*z + 5*i wrt i.
-24*i**2 + 18742*z**3 + 196*z
What is the third derivative of 127211661*g**3 + 31638*g**2 + 1282 wrt g?
763269966
What is the third derivative of -223371*f**4*w + 4*f**4 - 2*f**2*w - 10954*f*w - 2*f - 3*w - 40 wrt f?
-5360904*f*w + 96*f
What is the second derivative of -378*s**4*z - 632*s**3 - 374*s**2*z + 70339*s - 233*z wrt s?
-4536*s**2*z - 3792*s - 748*z
Find the first derivative of -270*l*t - 8732555*l + 234998*t wrt t.
-270*l + 234998
Differentiate 2*d**4 - 87*d**3 + 5*d**2 + 684*d + 14151166 with respect to d.
8*d**3 - 261*d**2 + 10*d + 684
What is the third derivative of -2*j**3*l - 2224620*j**3*q + 2*j**2*l*q - 713428*j*l wrt j?
-12*l - 13347720*q
Find the second derivative of 3*b**5*c - 4*b**5 - 120165*b**2*c - 11*b + 169036*c + 1 wrt b.
60*b**3*c - 80*b**3 - 240330*c
What is the second derivative of -10*z**4 - 10*z**3 - 523*z**2 - 32485*z + 14 wrt z?
-120*z**2 - 60*z - 1046
What is the first derivative of -47*b**4 + b**2*g**2 + 8621*b**2 + 1291*g**2 - 305 wrt b?
-188*b**3 + 2*b*g**2 + 17242*b
What is the first derivative of -1990368*y - 70073054 wrt y?
-1990368
Find the second derivative of -29794*m**3 + 47*m**2 + 59557951*m.
-178764*m + 94
What is the second derivative of 19*w**3*z**2 + w**3*z + 4018508*w**3 + 22977*w**2*z**2 + 2*z**2 wrt z?
38*w**3 + 45954*w**2 + 4
What is the third derivative of 287*x**5 - 35083*x**4 + 12257*x**2 - 2424*x wrt x?
17220*x**2 - 841992*x
Find the second derivative of -4379*i**4 + 554*i**2 + 41232640*i wrt i.
-52548*i**2 + 1108
Find the second derivative of -3721384*f**2*k**2 + 21*f**2 + 133837*k wrt k.
-7442768*f**2
Find the second derivative of -2969779*l**2*v**3 - 3*l**2*v**2 - l**2 + 1670*l*v**3 - 27246*l*v**2 wrt l.
-5939558*v**3 - 6*v**2 - 2
Differentiate 1246*r*u**3 + 570*r*u**2 + 741065*u**3 wrt r.
1246*u**3 + 570*u**2
Differentiate -170148*c**2*d**2 + 127*c*d**2 + 61171*d**2 - d + 845 wrt c.
-340296*c*d**2 + 127*d**2
What is the second derivative of 17*f*v**2*z + 16471*f*v**2 - f*v*z + 11222989*f*v + f*z + 3*v**2 wrt v?
34*f*z + 32942*f + 6
Find the second derivative of -1155*g**2*i**2*n + 70936*g**2*n**3 + 7*g*i**2*n**3 - 85*g*i**2*n**2 - g*n - 24*i**2*n**2 - n**2 wrt g.
-2310*i**2*n + 141872*n**3
What is the first derivative of -876600*k**4 - 13*k**3 + 4*k - 118441561?
-3506400*k**3 - 39*k**2 + 4
What is the second derivative of 22629*h*t**4 + 241*h*t**2 + 24*h*t - h - 9*t**3 + 1442565*t wrt t?
271548*h*t**2 + 482*h - 54*t
Differentiate 534454473*g**2 - 508628260 w | {
"pile_set_name": "DM Mathematics"
} |
1 or -507317?
1
Is 125/174 greater than -0.1?
True
Is -24/5 greater than -0.0408?
False
Is 3061394 < 3061395?
True
Is 1685593 greater than 1685596?
False
Which is smaller: -7509257 or -7509256?
-7509257
Is -124988 bigger than -124989?
True
Which is greater: -1095275 or -1095274?
-1095274
Is 124594 greater than -4?
True
Which is bigger: -3/41057 or 0?
0
Is 18745 smaller than -3/5?
False
Is 37950 != -1/5?
True
Does -1 = 17/235576?
False
Which is smaller: 30064 or 30071?
30064
Is -4326/227 <= -0.2?
True
Which is greater: -25 or 140?
140
Which is smaller: -835913 or -835915?
-835915
Is 5/86394 equal to -1?
False
Which is smaller: -1 or -15/6112?
-1
Is -47179 != -47154?
True
Which is bigger: 8647 or 8649?
8649
Is 4726 at least as big as 4728?
False
Is 4/38455 <= 1?
True
Which is bigger: 275 or 199?
275
Which is bigger: 1/4786832 or 0?
1/4786832
Is 1 >= 17/40479?
True
Which is greater: 5/407322 or 0?
5/407322
Which is bigger: -2 or -85733?
-2
Which is smaller: 66/10951 or 0?
0
Is -304 < 1036?
True
Is -1655 less than 49?
True
Is -2/33065 less than -1?
False
Which is bigger: 169913 or 169911?
169913
Is 2448054 smaller than 2448054?
False
Which is bigger: -0.028 or 224?
224
Is 0.358 at most -0.155?
False
Which is smaller: -1/2 or -2559629?
-2559629
Is 460052 less than 460045?
False
Which is bigger: 9491 or 218274/23?
9491
Which is bigger: 1361 or 50?
1361
Which is smaller: -1 or -51/119251?
-1
Which is bigger: -22 or -69.16?
-22
Is -1 > 195/647?
False
Which is greater: -16865 or -16971?
-16865
Is 0.6 at least as big as 5556?
False
Is 851/4 at most 2.3?
False
Are 2066 and 8263/4 non-equal?
True
Are -874 and -821 nonequal?
True
Is 11/14906 at least as big as 0?
True
Is -727 at most -616?
True
Which is smaller: 23031 or 23036?
23031
Is 1 at least 45/255019?
True
Is -62825 <= -62825?
True
Is -710756 not equal to -710758?
True
Is -16/148185 less than or equal to -1?
False
Is -16507 greater than -16628?
True
Which is greater: 0 or 2722/3885?
2722/3885
Is -20/257939 at least 0?
False
Is -65029 >= -65029?
True
Is 30/47029 at least as big as -1?
True
Is 663 > 1389?
False
Are 1758 and -22 nonequal?
True
Which is bigger: -149692/5 or -29939?
-149692/5
Are -1147 and -1131 equal?
False
Which is bigger: -1 or 2/2053205?
2/2053205
Which is bigger: -63/28685 or -1?
-63/28685
Which is smaller: -14596 or 12?
-14596
Which is smaller: -124.99 or 12?
-124.99
Which is greater: 378989 or 1136966/3?
378989
Are -1 and -359/160 unequal?
True
Is -1781 not equal to 24.7?
True
Is -7803 >= 2/3?
False
Which is greater: -488 or 40?
40
Is 1284.03 less than or equal to 5?
False
Is 38 < 3558.7?
True
Is 2227 bigger than -79/4?
True
Is -199629 at least as big as -199629?
True
Which is smaller: -13931/4 or -3483?
-3483
Is -0.1029 smaller than -163?
False
Which is bigger: -233263 or 4?
4
Which is smaller: -2 or -9790?
-9790
Which is smaller: -1 or -1/224136?
-1
Is -2567 < -4?
True
Is 455751 >= 455750?
True
Is -6346265 less than or equal to -6346264?
True
Is 14464 less than or equal to 14465?
True
Which is smaller: -41407 or -41395?
-41407
Is 1.807 at most 49/11?
True
Is -3845 at most as big as -3840?
True
Which is smaller: 7/40295 or -1?
-1
Which is smaller: 31040 or 31123?
31040
Is -1 less than or equal to 7/4280?
True
Is -1 not equal to -136/26927?
True
Is 2/9 equal to 139481?
False
Is -3/2 >= 466463?
False
Is 19250 > -5?
True
Which is bigger: -54493 or -54532?
-54493
Which is smaller: -1280 or -1116?
-1280
Which is smaller: 2/3 or 50257?
2/3
Is -151597 equal to 0.1?
False
Is -4652675 at most as big as -4652675?
True
Is 4557.8 bigger than -10?
True
Is 3 bigger than 2509?
False
Is -70 at most as big as 20856?
True
Is 27279/37 >= 1?
True
Is 4848 less than 4849?
True
Are 228 and 866 equal?
False
Which is bigger: 1454129 or 1454130?
1454130
Which is smaller: -104538 or -313615/3?
-313615/3
Which is smaller: -0.16 or 282?
-0.16
Is 2275/32 >= 72?
False
Which is greater: 747728/13 or 57519?
57519
Which is smaller: 18 or -2/197793?
-2/197793
Which is greater: 26953/178 or 150?
26953/178
Is -6979 at least as big as -7139?
True
Is 875 > 9630/11?
False
Is 30048 less than 30045?
False
Which is smaller: 41 or -550?
-550
Which is smaller: -34/25529 or 0?
-34/25529
Which is bigger: -242660 or -242656?
-242656
Is -229.55 > -6/7?
False
Which is smaller: -674 or -20904/31?
-20904/31
Is 69146 < -3/64?
False
Is 35 not equal to 1966?
True
Which is greater: -1815036 or -1815037?
-1815036
Is 1 >= 6/45697?
True
Which is smaller: -4894/2343 or -1?
-4894/2343
Which is bigger: -0.1 or 4190/87?
4190/87
Is 49311 equal to 49321?
False
Is -39/7 <= -1/2151?
True
Is -2/285623 != -0.043?
True
Which is smaller: -18187 or -18191?
-18191
Is 289 at least -0.16?
True
Is 0.538 < 0.37?
False
Which is greater: -0.04 or 8.8073?
8.8073
Which is smaller: 29 or 0.752?
0.752
Which is greater: -7422/67 or -110?
-110
Which is smaller: -52 or -6/77?
-52
Which is bigger: -145175 or -145176?
-145175
Is -0.5063 at most as big as 7?
True
Are -44/12495 and 1 non-equal?
True
Which is bigger: 15/4 or 189?
189
Is 131 < 160?
True
Which is greater: -2 or -29/35?
-29/35
Which is smaller: 2181 or 2180?
2180
Is -42017 greater than or equal to -42006?
False
Is 22.01 smaller than -21?
False
Are 57 and 13240/229 nonequal?
True
Is 1/13 smaller than -42190?
False
Is 0 < -38381/47?
False
Do 1 and 4/38345 have different values?
True
Is 0 at most as big as -114/763?
False
Are 4.19 and -479 equal?
False
Is 125944 bigger than 125945?
False
Is 1356 bigger than 1358?
False
Which is bigger: -557562 or -557561?
-557561
Which is smaller: 0.079 or 1.1426?
0.079
Which is smaller: 57797 or 2/17?
2/17
Which is bigger: 639538 or 639537?
639538
Is -42529/23 smaller than -1850?
False
Which is smaller: -194084 or -1358594/7?
-1358594/7
Is -8578606 less than or equal to -8578606?
True
Which is greater: -1317/74 or 0.3?
0.3
Is 21 at least 36031?
False
Is -334/883 at most as big as -1?
False
Which is smaller: -7992 or -7955?
-7992
Which is smaller: 90686 or 90685?
90685
Which is greater: -1083/47 or -24?
-1083/47
Which is smaller: -4/183439 or 0?
-4/183439
Which is greater: 1/222 or -225/4?
1/222
Is 1 greater than or equal to -8/277485?
True
Which is smaller: 5025/62 or 82?
5025/62
Is 50/268099 < -1?
False
Which is smaller: -154210 or -154212?
-154212
Which is bigger: -70 or -0.00254?
-0.00254
Which is bigger: 1/6503878 or 0?
1/6503878
Is -5435 equal to -5609?
False
Is 26 smaller than 3004/121?
False
Is -39533 bigger than -39533?
False
Which is greater: 6/213997 or -1/2?
6/213997
Which is greater: 404 or 544?
544
Which is smaller: 5/8 or -1/1867?
-1/1867
Is 294520 <= 294518?
False
Which is smaller: 2095 or -38?
-38
Which is smaller: -1/715652 or 1?
-1/715652
Which is smaller: 26/710803 or 1?
26/710803
Which is smaller: 74 or 179?
74
Which is smaller: 5074 or 5091?
5074
Is -481 > -457?
False
Is 972 less than or equal to 1059?
True
Which is greater: 31560/539 or 59?
59
Is 4622 equal to 4623?
False
Is -0.23395 greater than -1/3?
True
Which is greater: 13640/29 or 470?
13640/29
Which is bigger: 140.8 or -0.37?
140.8
Is -5.1 bigger than 0.24?
False
Is 1 bigger than -84554?
True
Which is smaller: -43871/6 or -7313?
-7313
Are 1/2 and -4/251 non-equal?
True
Is -1266 greater than or equal to -1253?
False
Is -18503/13 at least -1424?
True
Is -136 less than -134?
True
Which is smaller: 11027.8 or 0?
0
Is -6315/2 <= -3159?
False
Is 15003 not equal to 45007/3?
True
Which is smaller: 54462 or 54453?
54453
Is 98935 less than 98922?
False
Which is smaller: -1 or 34390?
-1
Is 26/7 bigger than 2931?
False
Is 254825 not equal to -1/3?
True
Which is smaller: 6125 or 6132?
6125
Is 12/4387 greater than or equal to 1?
False
Which is smaller: 1823659 or 1823660?
1823659
Is 346227/2 >= 173113?
True
Which is bigger: -1643 or -1613?
-1613
Are -42 and 59274 equal?
False
Is -1/9 <= 12921?
True
Which is greater: 0 or -266/5631?
0
Which is smaller: 3/304268 or 0?
0
Is 1812 less than 179?
False
Is 2/477919 bigger than 1?
False
Which is smaller: 51/2156 or -1?
-1
Does 28215/13 = 2170?
False
Is -655701 >= -655700?
False
Is -892 at most 6.1?
True
Which is smaller: -2063/162 or -14?
-14
Which is smaller: 594 or -0.02637?
-0.02637
Which is greater: 172 or 58?
172
Is 18/551 != -144?
True
Which is smaller: 18 | {
"pile_set_name": "DM Mathematics"
} |
= -601 + 1702 - 1101 + 2*q**2. Determine h(o(m)).
8*m**4 + 54
Let x(u) = -2*u**2 - 105*u - 1425. Let m(z) = -252*z. Give m(x(g)).
504*g**2 + 26460*g + 359100
Let t be (19 - (-20)/(-4))*(-2)/(-4). Suppose t*h - 28 = 3*h. Let c(m) = 8*m + 3*m - h*m. Let x(l) = l. What is c(x(d))?
4*d
Let y(z) = -31*z**2. Suppose 3*n = -2*a + 12, 4*a - 11 - 7 = -3*n. Let v(i) = -45185*i + 2*i**n + 45185*i. What is y(v(u))?
-124*u**4
Let w(z) = 28*z. Let k(b) = -840854*b**2. Determine k(w(u)).
-659229536*u**2
Let h(m) be the second derivative of m**4/8 - 183*m**2/2 - 131*m. Let x(d) be the first derivative of h(d). Let f(j) = 18*j**2. What is f(x(b))?
162*b**2
Let y(g) be the third derivative of g**4/24 + 44*g**2 - 4*g. Let v(d) = -d. Let c(r) = -2*r - 2. Let x(t) = -c(t) + 3*v(t). Calculate x(y(i)).
-i + 2
Suppose 0 = 4*c + 16, -2*v = 2*c - 0*c. Let y(r) = -22*r - 9. Let x(p) = 10*p + 4. Let j(g) = v*y(g) + 9*x(g). Let s(z) = 8*z - 22*z + 3 - 3. Determine s(j(q)).
-28*q
Let y(q) = -17*q. Suppose 0 = -26*f + 5*f - f + 66. Let g(a) be the third derivative of -1/24*a**4 - 9*a**2 + 0*a + 0*a**f + 0. Calculate g(y(o)).
17*o
Let t(k) = 2*k - 692. Let d(a) be the third derivative of a**4/8 - 1656*a**2. Determine t(d(m)).
6*m - 692
Let w(o) be the third derivative of 7*o**4/24 + o**2 - 130*o. Let u(s) = -2*s - 58. What is w(u(f))?
-14*f - 406
Let b(c) = 8902*c. Let m(k) = -13*k**2 + 6*k + 3. Let n(f) = -8*f**2 + 4*f + 2. Let w(g) = 2*m(g) - 3*n(g). Give b(w(t)).
-17804*t**2
Let m(v) be the third derivative of v**4/12 + 2*v**2. Suppose -98*w = -103*w + 20. Let n(q) = 6*q - 5*q + q + w + q. Determine n(m(d)).
6*d + 4
Let s(m) = 17*m**2. Let x(i) = 6*i**2 + 6. Let c = -751 - -755. Let j(u) = -5*u**2 - 8. Let v(w) = c*x(w) + 3*j(w). Give v(s(q)).
2601*q**4
Let c(a) = 41794148*a. Let b(v) = -v**2. Give c(b(t)).
-41794148*t**2
Let h(j) = -j. Let z(k) = -k**2 + 2*k + 2. Let n be z(-2). Let v = n - -8. Let f(i) = 391*i - 40*i**v - 391*i. Determine h(f(c)).
40*c**2
Let i(z) = 7*z + 20. Let w(f) = -112*f - 315. Let j(u) = -63*i(u) - 4*w(u). Let y(q) = -171*q. What is j(y(t))?
-1197*t
Let y(s) = -9*s. Let i(f) = f**2 + 4*f + 3. Let h(z) = 2*z**2 + 18*z + 13. Let q(d) = -2*h(d) + 9*i(d). Calculate y(q(b)).
-45*b**2 - 9
Let k(v) = v**2. Let f(g) = 4*g**2 + 8*g - 11. Let n(w) = 8*w**2 + 18*w - 20. Suppose 87 - 91 = -c. Let u(s) = c*n(s) - 9*f(s). Calculate k(u(p)).
16*p**4 - 152*p**2 + 361
Let h(m) = 4072*m - 3156. Let y(s) = -3*s. Give h(y(f)).
-12216*f - 3156
Let z(j) = 7*j + 4. Let s(l) = -6*l - 3. Let o(d) = -4*s(d) - 3*z(d). Let f(n) be the first derivative of -26 + 0*n**2 + 0*n + 1/3*n**3. What is f(o(r))?
9*r**2
Let w(d) = 5*d. Let b(c) = 5*c + 159753. What is w(b(u))?
25*u + 798765
Let j(k) = -3*k. Let q(w) = -2*w**2 + w + 2. Let l(h) = -1216*h**2 + 760*h + 1520. Let i(p) = l(p) - 760*q(p). Determine i(j(c)).
2736*c**2
Let y(u) = 3*u**2. Let j(z) = 11651*z**2 - 5645*z**2 - 5764*z**2. What is y(j(b))?
175692*b**4
Let p(u) = -38139*u - 12. Let k(x) = 4*x**2. Give p(k(d)).
-152556*d**2 - 12
Let k(l) = -l - 20845163. Let s(d) = 8*d. What is k(s(h))?
-8*h - 20845163
Let x(y) = 122*y - 26. Let i(l) = 14*l - 3. Let g(n) = -104*i(n) + 12*x(n). Let h(t) = 5*t. Calculate g(h(m)).
40*m
Let g(b) = 4*b**2. Let j(c) be the second derivative of c**4/12 + 9*c**2/2 + 507*c + 1. Calculate g(j(t)).
4*t**4 + 72*t**2 + 324
Let u(v) = -4*v - 292 - 438 + 733. Let g(t) = 35*t. Give u(g(n)).
-140*n + 3
Let g(u) = -29429*u**2 + 960*u. Let a(y) = 2*y. Give g(a(x)).
-117716*x**2 + 1920*x
Let z(t) = 2206*t**2. Let y(w) = -4674*w + 57. Determine y(z(i)).
-10310844*i**2 + 57
Let i(d) = 498753*d. Let m(w) = 51*w. What is m(i(t))?
25436403*t
Let d(m) = -31134*m. Let z(l) = -55*l - 8. Calculate z(d(c)).
1712370*c - 8
Let i = 157 + -286. Let r = i - -131. Let b(x) = -6*x**2 + 3*x**2 + 5*x**r. Let u(v) = 68*v. Calculate b(u(a)).
9248*a**2
Let v(f) = 13*f**2 + 9*f + 9. Let s(z) = -6*z**2 - 4*z - 4. Let g(a) = -9*s(a) - 4*v(a). Let q(c) be the first derivative of -7*c**3/3 - 52. Give q(g(n)).
-28*n**4
Let p(b) = 10255*b. Let u(r) = -32*r + 715. Determine p(u(a)).
-328160*a + 7332325
Let w(g) = -2*g. Let h(u) = 4868641*u. Determine h(w(a)).
-9737282*a
Let k = 20 - 22. Let q be ((-12)/(-21))/(k/(-7)). Let t(b) = q*b - 2*b + 3*b + 0*b. Let d(m) = -7*m. Determine t(d(o)).
-21*o
Let q(m) = 22*m**2. Let p(o) be the first derivative of o**3/3 + o - 178. Give p(q(t)).
484*t**4 + 1
Let h(n) = 2*n**2. Let d(q) = -2*q**2. Let l(s) = -169*s**2. Let o(v) = -65*d(v) + l(v). Give o(h(z)).
-156*z**4
Let y(p) = -3*p**2. Let g(h) = -1020166*h + 2. Determine g(y(l)).
3060498*l**2 + 2
Let t(k) = 109*k. Let m(x) = 25*x - 21. Let l(q) = 144*q - 119. Let n(o) = 6*l(o) - 34*m(o). Determine n(t(a)).
1526*a
Let z(v) = 142*v. Suppose -844 + 790 = -6*l. Let p(x) = l - 2*x - 22 + 13. Give p(z(b)).
-284*b
Let o(x) = 2*x. Let c(v) = -625658373*v**2. Determine c(o(w)).
-2502633492*w**2
Let q(o) = -15850*o + 31666*o - 15900*o. Let t(h) = -45*h**2 + 2*h. Determine q(t(z)).
3780*z**2 - 168*z
Let z(l) = -3443516*l. Let d(y) = y**2. Calculate d(z(m)).
11857802442256*m**2
Let o(u) be the second derivative of -2*u**3 + 2*u. Let s be -4*(-3)/(0 + 3). Let i(l) = 7*l**2 - s*l**2 - 12*l**2 + 5*l**2. What is i(o(b))?
-576*b**2
Let x(o) = -o**2 + 29*o + 63. Let z be x(24). Let i(k) = 512*k - z*k**2 - 512*k. Let d(s) = -2*s. What is d(i(w))?
366*w**2
Let u(i) = -7*i. Let r(o) = 4*o**2 - 9*o. Let k(t) be the first derivative of -t**3/3 + t**2 + 42. Let n(y) = 18*k(y) + 4*r(y). Give n(u(q)).
-98*q**2
Let q(w) = w. Let m(u) = 3*u - 31964636. Determine m(q(c)).
3*c - 31964636
Let c(t) = -17*t**2 + 1535. Let g(p) = 94*p. Give g(c(z)).
-1598*z**2 + 144290
Let g(m) = -2*m - 92. Let i(z) = -56851*z. What is g(i(r))?
113702*r - 92
Let s(r) = 555139*r. Let a(g) = 3*g + 21. Give a(s(q)).
1665417*q + 21
Let t(g) = -372*g + 607 + 139*g - 607 - 543*g. Let f(p) = 17*p**2 - 45*p**2 + 11*p**2 + 18*p**2. Determine t(f(c)).
-776*c**2
Let s(b) = -8*b. Let p(j) = 71248503*j. What is p(s(m))?
-569988024*m
Let t(g) be the first derivative of 5*g**4/12 + 2*g**2 - 7*g + 2. Let m(j) be the second derivative of t(j). Let v(y) = 14*y. Calculate v(m(n)).
140*n
Let r(u) = u. Let m(h) be the first derivative of -62*h**3 - 244 + 14*h**2 - 14*h**2. Calculate m(r(q)).
-186*q**2
Let k(s) be the first derivative of 22*s**2 + 12*s + 1807. Let d(u) = 3*u**2. What is k(d(x))?
132*x**2 + 12
Let m(f) be the second derivative of -2*f**3/3 - 428*f - 34. Let v(j) be the second derivative of j**4/12 - j. Determine v(m(q)).
16*q**2
Let s(w) = -803*w. Let v(x) = 23*x**2 + x + 2. Let p(l) = 93*l**2 + 4*l + 8. Let k(o) = p(o) - 4*v(o). What is s(k(m))?
-803*m**2
Let x(s) = 148*s**2. Let b(v) = 73*v**2 - 1081. Give b(x(t)).
1598992*t**4 - 1081
Let c(n) be the third derivative of n**4/3 + n**3/3 - 6*n**2 - 14. Let x(h) = h - 70. Determine c(x(j)).
8*j - 558
Let f(j) = -259*j**2 - 3*j - 2. Let w(g) = 496*g. Give w(f(m)).
-128464*m**2 - 1488*m - 992
Let w(o) be the first derivative of 2*o**2 - 3138. Let q(u) = -9*u**2 + 4*u. What is w(q(g))?
-36*g**2 + 16*g
Let y = -320 + 322. Let f(z) = 5*z**2 + 2*z**2 + 2*z**2 + 6*z**y. Let a(b) = -2*b**2. Determine f(a(n)).
60*n**4
Let b(l) = -14*l**2 + 333 - 171 - 162. Let x(n) = 7*n + 2. Give x(b(h)).
-98*h**2 + 2
Let v(w) = -13*w**2 - 3*w**2 + 841 - 841. Let h(z) = -3*z - 1. Give h(v(r)).
48*r**2 - 1
Let f(x) = -506*x**2. Let v(g) = 255*g**2 + 37*g + 1. Determine v(f(j)).
65289180*j**4 - 18722*j**2 + 1
Let a(q) = -19714*q**2. Let t(j) = -j**2 + 188*j. Give t(a(k)).
-388641796*k**4 - 3706232*k**2
Let m(j) = -j**2. Let p(y) = -y**2. Let x = 90 + -72. Let c = x + -13. Let a(v) = c*m(v) - 7*p(v). Let n(g) = -6*g**2. What is a(n(d))?
72*d**4
Let u(a) = 12*a - 3. Let b(d) = 335*d - 85. Let h(s) = -6*b(s) + 170*u(s). Let w(p) be the first derivative of 5*p**3/3 + 23. What is w(h(q))?
4500*q**2
Let n(s) = -s. Let g(x) = -x**2 - 2*x + 58. Let l(d) = 456*d**2 + 304*d - 8816. Let b(a) = 760*g(a) + 5*l(a). What is n(b(o))?
-1520*o**2
Let y(q) be the first derivative of 4*q**3/3 + 110. Let h(o) = 17*o - 25. Calculate h(y(p)).
68*p**2 - 25
Let d(f) = f - 1. Let v be (180/16)/(5/20). Let n(t) = -47*t + 87*t - v*t + 4. Let l(c) = -4*d(c) - n(c). Let w(m) = -5*m. Give l(w(u)).
-5*u
| {
"pile_set_name": "DM Mathematics"
} |
atest common divisor of 884 and 40487200?
884
What is the highest common factor of 445858616 and 434?
434
Calculate the highest common divisor of 6230 and 2050265.
35
What is the highest common divisor of 46712582 and 294?
98
What is the highest common divisor of 9024 and 843264?
192
What is the greatest common factor of 998602033 and 429?
143
What is the greatest common factor of 4274300 and 1475?
25
Calculate the greatest common divisor of 322040 and 5230240.
3880
Calculate the highest common factor of 53331512 and 728.
104
What is the highest common divisor of 880 and 28757080?
440
What is the highest common factor of 5668 and 15238418?
2834
What is the greatest common divisor of 249920 and 45653?
71
What is the greatest common divisor of 15416 and 31030481?
1927
What is the greatest common divisor of 567583 and 39547?
557
What is the greatest common divisor of 132600368 and 112?
16
What is the greatest common divisor of 1173021844 and 538?
538
Calculate the highest common divisor of 2958852 and 429.
39
What is the greatest common divisor of 13490 and 833530?
190
Calculate the greatest common divisor of 6486 and 19234233.
3243
Calculate the greatest common factor of 58683 and 107322.
93
Calculate the highest common factor of 16575 and 2473653.
663
Calculate the greatest common divisor of 1212746 and 12070.
34
Calculate the greatest common divisor of 187143 and 5778.
321
What is the highest common factor of 26214 and 20818285?
4369
Calculate the highest common divisor of 48 and 818058.
6
What is the highest common factor of 1459300 and 32300?
100
What is the highest common divisor of 342 and 24948045?
171
Calculate the highest common factor of 137878 and 32344.
26
What is the highest common factor of 620531362 and 3014?
3014
Calculate the highest common factor of 2853 and 360333.
9
Calculate the greatest common factor of 63865800 and 3600.
1800
What is the greatest common divisor of 7180 and 71428076?
1436
What is the highest common divisor of 3132026 and 2248?
562
Calculate the highest common divisor of 350 and 322240.
10
Calculate the highest common divisor of 33706493 and 2978.
1489
Calculate the greatest common divisor of 17124 and 542.
2
Calculate the greatest common divisor of 655081485 and 111.
111
What is the highest common factor of 3017178 and 477?
9
What is the greatest common factor of 268 and 171706126?
134
What is the highest common factor of 1045471 and 6524?
1631
Calculate the greatest common divisor of 25636996 and 1316.
1316
What is the greatest common divisor of 6077345 and 24185?
3455
What is the greatest common factor of 1818143782 and 532?
266
What is the greatest common factor of 18149805 and 1080?
135
What is the highest common factor of 753063 and 70184?
283
What is the greatest common divisor of 94 and 82068674?
94
What is the highest common divisor of 274 and 170756?
2
Calculate the highest common divisor of 22 and 13683571.
11
What is the highest common divisor of 3181298 and 8181?
101
Calculate the highest common divisor of 8552907 and 5643.
1881
Calculate the highest common factor of 232754 and 68150.
58
What is the highest common factor of 77691018 and 3636?
606
Calculate the greatest common factor of 2688 and 27146112.
2688
Calculate the greatest common factor of 860 and 42783581.
43
What is the highest common divisor of 4912729 and 53?
53
What is the greatest common divisor of 2 and 32685826?
2
Calculate the highest common divisor of 776 and 18949629.
97
Calculate the greatest common divisor of 438060 and 14896.
196
Calculate the greatest common factor of 27685 and 245720986.
5537
What is the highest common divisor of 26 and 427758552?
26
Calculate the greatest common factor of 17108730 and 135.
45
Calculate the highest common divisor of 411700 and 72910.
230
Calculate the highest common divisor of 63678950 and 460.
230
What is the highest common divisor of 9929600 and 646280?
4280
What is the greatest common factor of 530 and 203620?
10
Calculate the highest common factor of 3560 and 23419015.
445
What is the highest common divisor of 139 and 1295375611?
139
What is the highest common divisor of 51 and 207352077?
51
What is the greatest common factor of 2905545 and 345?
15
Calculate the greatest common factor of 275 and 2094059.
11
What is the greatest common factor of 172 and 32551774?
86
Calculate the greatest common factor of 54366 and 224094.
1326
Calculate the highest common divisor of 4102 and 16869182.
586
Calculate the highest common factor of 2968 and 68841647.
371
What is the greatest common divisor of 2724 and 37001?
227
Calculate the highest common divisor of 2545668 and 2268.
324
What is the greatest common factor of 80285706 and 2802?
2802
What is the greatest common divisor of 27324 and 58508136?
2484
Calculate the greatest common divisor of 30 and 18569030.
10
Calculate the greatest common factor of 27698216 and 13.
13
Calculate the highest common factor of 340 and 2157436.
68
Calculate the highest common divisor of 719 and 4825209.
719
Calculate the greatest common divisor of 20856805 and 10.
5
What is the greatest common divisor of 174878 and 132?
22
Calculate the greatest common factor of 63792 and 2023624.
3544
Calculate the greatest common divisor of 963 and 4759574.
107
What is the greatest common divisor of 61 and 898017661?
61
Calculate the greatest common factor of 1102643978 and 1149.
383
Calculate the highest common factor of 4 and 111839100.
4
What is the greatest common divisor of 4088 and 160173096?
584
Calculate the highest common factor of 810 and 14709330.
270
Calculate the highest common factor of 1628700 and 90585.
915
What is the highest common factor of 1023106 and 224?
14
What is the greatest common factor of 49706 and 3406862?
58
Calculate the highest common factor of 468575388 and 1044.
1044
What is the highest common divisor of 1348155 and 3345?
15
Calculate the greatest common factor of 3356 and 9082175.
839
Calculate the greatest common divisor of 240 and 114678576.
48
Calculate the greatest common divisor of 2192 and 204702112.
2192
Calculate the highest common factor of 4648 and 39004024.
664
What is the greatest common factor of 1464384480 and 6?
6
What is the highest common divisor of 352 and 5633276?
44
What is the highest common factor of 58 and 15910647?
29
What is the highest common divisor of 4532465 and 161?
7
Calculate the greatest common factor of 3156 and 130.
2
What is the greatest common divisor of 175566 and 1888848?
6054
What is the highest common divisor of 4906 and 42427?
11
What is the greatest common divisor of 4374 and 652887?
27
What is the highest common factor of 14055240 and 696?
24
What is the highest common divisor of 6659260 and 3330?
370
What is the highest common factor of 214 and 952390?
2
Calculate the greatest common divisor of 664290 and 1251171.
549
Calculate the greatest common divisor of 420 and 515841060.
420
What is the greatest common divisor of 169908566 and 13674?
4558
What is the highest common divisor of 46283 and 150958723?
1493
Calculate the greatest common factor of 396820877 and 393.
131
Calculate the greatest common divisor of 43375 and 197375.
125
Calculate the greatest common factor of 83545 and 30535.
155
Calculate the greatest common divisor of 108726835 and 570.
95
Calculate the greatest common factor of 5157 and 27742941.
1719
Calculate the greatest common divisor of 101089323 and 27.
27
Calculate the highest common factor of 39100 and 27399716.
1564
Calculate the greatest common divisor of 88 and 521619208.
88
Calculate the highest common divisor of 215 and 4597345.
215
What is the highest common divisor of 2599 and 450524?
23
What is the highest common divisor of 160018794 and 1404?
702
What is the highest common factor of 31556949 and 2532?
633
Calculate the greatest common divisor of 22552189 and 1111.
1111
Calculate the greatest common divisor of 2533055 and 8440.
1055
What is the highest common factor of 2576 and 165649036?
644
What is the greatest common divisor of 469 and 71603168?
469
What is the highest common factor of 125477540 and 356?
356
What is the greatest common factor of 3858 and 161316483?
1929
Calculate the greatest common divisor of 301336 and 1000.
8
What is the highest common diviso | {
"pile_set_name": "DM Mathematics"
} |
10*p**s - 2*p**2 + 9*p**2. Let l be w(-1). What is the greatest common factor of l and 26?
13
Let u = 0 + 1. Suppose 5*j + 70 = 75. What is the greatest common divisor of u and j?
1
Let s be 2*-1*(-10)/10. What is the highest common divisor of s and 5?
1
Let z(n) be the first derivative of -n**2 + 22*n - 8. Let c be z(0). What is the greatest common divisor of c and 2?
2
Let j = 367 + -255. Let b = j + -55. What is the greatest common divisor of b and 19?
19
Let f(o) = 6*o**2 + 11*o + 25. Let w be f(-7). Let r be -1 - -1 - (-16 + -6). Calculate the greatest common factor of w and r.
22
Suppose 0 = 2*o - 9 - 3. Let x(h) = h**2 - h - 50. Let d be x(8). What is the highest common divisor of d and o?
6
Let q(k) = k + 1. Let w be q(3). Suppose -a = -2*a + 10. What is the greatest common divisor of a and w?
2
Let f be 5 - 1 - (-1)/(-1). Let h be (-4)/(-12) + 29/f. Calculate the greatest common divisor of 70 and h.
10
Suppose 51 = 3*v + 6. Calculate the highest common divisor of 15 and v.
15
Let p = 35 + -15. What is the highest common factor of p and 10?
10
Suppose 2*l = -5*k - 20 + 374, 0 = 2*k + 5*l - 129. Calculate the greatest common factor of 18 and k.
18
Let b = 58 + -22. Calculate the greatest common factor of 9 and b.
9
Suppose -4*l + l + 60 = 0. Let t = -1282 - -671. Let b = -391 - t. What is the greatest common divisor of b and l?
20
Suppose -6*d + 108 = -3*d. Calculate the greatest common divisor of d and 144.
36
Let m = 60 - 57. What is the highest common divisor of 6 and m?
3
Suppose 3*b + 0*h = -h + 336, 5*b - 4*h = 560. Let v(j) = -3*j**3 - j**2 + 3*j + 2. Let z be v(-2). What is the greatest common divisor of z and b?
16
Let h be -7*(4 - 2)*5/(-2). Calculate the greatest common divisor of 14 and h.
7
Let r be (-36)/(-2)*(-2)/(-4). Let t be (r/(-2))/(2/(-4)). Calculate the highest common divisor of 81 and t.
9
Let a = 1 - -85. Let o = -146 + a. Let d = o - -100. What is the highest common divisor of d and 8?
8
Let a(v) = v**3 + 47*v**2 + 40*v - 177. Let z be a(-46). Let j(x) = -x**3 + 6*x**2 - 4*x + 4. Let q be j(5). Calculate the greatest common divisor of z and q.
9
Let n(s) = s**3 - 10*s**2 + 11*s + 14. Let x be n(9). Calculate the greatest common factor of 48 and x.
16
Suppose r = -3*x + 2*r - 37, 2*x - 3*r + 13 = 0. Let k be (1 + -2)/(1/x). What is the highest common factor of 14 and k?
14
Suppose 5*h = 2*h - 138. Let o = -7 + 3. Let w be (-2)/o + h/(-4). What is the highest common factor of w and 108?
12
Suppose 12 = -5*f + 37. Let a(l) be the first derivative of -l**2/2 + 9*l + 3. Let z be a(4). What is the greatest common divisor of z and f?
5
Suppose -9*u = -13*u + 24. What is the highest common factor of 6 and u?
6
Let s = 118 + -3. Calculate the greatest common factor of s and 23.
23
Let w(z) = 10*z - 20. Let m be w(10). What is the highest common factor of 32 and m?
16
Let u = -6 + 51. Calculate the greatest common divisor of u and 45.
45
Let m = 21 - 14. Calculate the highest common divisor of 21 and m.
7
Let l be 6/(6/(-3)) + 5*9. What is the highest common factor of 42 and l?
42
Let i be 2/(-3) - (-5 - 34/6). What is the highest common factor of 10 and i?
10
Let n be 4 - (-4)/(-8)*2. What is the highest common divisor of 3 and n?
3
Suppose 0 = -4*v + v + 123. Let q = 140 - v. Calculate the greatest common factor of 9 and q.
9
Let c be 8/(-6)*(-9)/2. Let g(p) = -5*p + 7. Let o be g(-7). What is the highest common divisor of o and c?
6
Let t(v) = -5*v + 6. Let i(h) = h - 1. Let y(m) = 6*i(m) + t(m). Let j be y(2). Calculate the highest common factor of 22 and j.
2
Let n be (4 - 6)*(-27 + 5). Calculate the greatest common divisor of n and 11.
11
Let h = -6 + 10. Let n be (6 - h)/((-1)/(-9)). Calculate the highest common divisor of n and 2.
2
Let y = -474 - -686. Suppose 3*s - 4*j = -j + 120, j = -5*s + y. What is the greatest common factor of 14 and s?
14
Let g be 530/6 - (-1)/(-3). Calculate the greatest common factor of g and 11.
11
Let c = 47 - 40. What is the greatest common divisor of 63 and c?
7
Let v(d) = d**2 - d - 25. Let b(r) = -r**2 + r + 25. Let s(u) = -3*b(u) - 4*v(u). Let h be s(0). What is the greatest common divisor of 10 and h?
5
Suppose 0*o = -o + 5. Suppose -2 = -v + o*y + 2, -3*y = 3*v - 30. Calculate the highest common divisor of 36 and v.
9
Suppose -72 = 5*k + 5*b + 53, k - 5*b + 55 = 0. Let o = k + 42. Let i be 42/4*8/1. What is the greatest common divisor of i and o?
12
Let u be 57*((-8)/(-12))/1. What is the greatest common divisor of 76 and u?
38
Let i(o) = -4*o - 8. Let y be i(-3). Suppose 5*s = 2*s + 3*c - 87, -c - 133 = 5*s. Let x = s + 47. Calculate the highest common factor of y and x.
4
Suppose -6*v + 9*v = 12. Calculate the highest common divisor of v and 2.
2
Let b be (-3 - 21/(-6))*18. What is the greatest common divisor of b and 27?
9
Let b(c) = 38*c**2 - 4*c - 3. Let x be b(-1). Calculate the greatest common factor of 13 and x.
13
Suppose -2*b = -6*b + 32. Let r be (8*4)/(1 + 0). Calculate the highest common factor of b and r.
8
Let u = 17 + -13. Calculate the highest common factor of 32 and u.
4
Let f be (-2)/(-1*(-5)/(-45)). Calculate the greatest common divisor of f and 12.
6
Let i = -6 - -20. What is the greatest common factor of 42 and i?
14
Let g = -22 + 48. What is the highest common divisor of g and 39?
13
Let y be 5*(12/(-5))/(-2). Suppose 0*x = 2*x, -2*l = 4*x - 60. What is the greatest common factor of l and y?
6
Suppose 2*s = -2 + 10. Let u = s - -2. Calculate the highest common divisor of 2 and u.
2
Let q be (-2)/6 - 14/(-6). Let a = 26 + -20. Suppose -11*h + a*h = -15. What is the highest common factor of q and h?
1
Suppose -2 = -4*r + 18. Let q be 6/r*(-15)/(-2). What is the greatest common factor of q and 3?
3
Let r(m) = m - 1. Let b be r(0). Let w = b - -5. Suppose 4*c - 171 = -l, l - 6*l = 25. Calculate the highest common divisor of c and w.
4
Suppose 3*n - n = 12. Suppose m + n = 2*m. Calculate the greatest common divisor of m and 30.
6
Let l = 24 - 9. Let y = 3 + 1. Let f be 239/y + (-1)/(-4). Calculate the highest common factor of l and f.
15
Let k(r) = -r**2 + 8*r - 5. Let j be k(3). What is the highest common divisor of 30 and j?
10
Let a be 99/24 + 1/(-8). Calculate the greatest common factor of 12 and a.
4
Let h = 7 + 3. Calculate the highest common factor of h and 110.
10
Suppose 4*t + 28 = 4. Let b be (-136)/(-3) + t/18. Let v(h) = h**3 + 2*h - 3. Let d be v(3). What is the highest common factor of d and b?
15
Suppose -20 = -3*d + s + 14, 0 = -d - 5*s + 22. Suppose 5*g = 2*g. Suppose g = -0*y - 3*y + 288. What is the greatest common factor of y and d?
12
Let s be (-344 - 1)*1/(-3). What is the highest common factor of s and 46?
23
Suppose 2*y = -7 + 23. What is the greatest common divisor of 88 and y?
8
Let x(w) = w**2 - w + 5. Let l be x(4). Suppose 0 = 4*z + 2*h - 16, 3*h = 2*h + 2. Suppose -5*b = -z*b - 102. What is the highest common factor of b and l?
17
Let v = -10 + 20. Let o(i) = -i**2 - 17*i. Let m be o(-10). What is the greatest common factor of v and m?
10
Suppose 8 + 0 = 2*q. Let f be q/(-22) + 79/11. What is the highest common factor of 63 and f?
7
Let h = -60 + 76. What is the greatest common divisor of h and 32?
16
Let z(p) = p**3 - 3*p**2 - 2*p - 8. Suppose -4*k + 9 = -15. Let q be z(k). What is the greatest common factor of 8 and q?
8
Let j(h) = h + 12. Let y be j(-11). Let p be (y + -2)/((-3)/27). What is the highest common divisor of p and 54?
9
Let o(c) = -7*c + 2. Let w be o(-3). Let l(m) = -18*m - 39. Let v be l(-6). What is the greatest common factor of w and v?
23
Suppose -735 = -7*j + 2*j + 3*i, -3*j + 445 = -i. Calculate the greatest common divisor of j and 60.
30
Suppose 6 = 2*s - 0*s. Let x(g) = -g - g - 5*g**s + 4*g**3. Let n be x(-3). What is the greatest common factor of 22 and n?
11
Let u be 0 - 1 - (-4 + 4). Let p be (26/4)/(u/(-2)). Let w = -2 + p. What is the highest common divisor of w and 44?
11
Suppose -4*z + 32 = -5*l, z - 5 = -5*l - 22. Let k be (z/9)/(1/3). Let o be 0/(k - -2) - -12. Calculate the greatest common divisor of o and 36.
12
Let z be -2*(-2)/(-4)*-3. Let r(p) = -p**2 - 2*p - 4. Let m be r(z). Let w = -1 - m. Calculate the greatest common factor of w and 6.
6
Suppose -3*s + 4 = -11. Let f = -201 + 91. L | {
"pile_set_name": "DM Mathematics"
} |
= -33 - -16. Let w = -1758.0013 - -1775. Let d = s + w. What is d rounded to three decimal places?
-0.001
Let q = -97.3 - -97.3000408. What is q rounded to five dps?
0.00004
Suppose -5*p - 2*o + 20310 = -6*o, 0 = o. Round p to the nearest one hundred.
4100
Let i = -455.999996055 + 456. What is i rounded to six dps?
0.000004
Suppose 2*j - 127204 = i, 3*i - 20*j = -21*j - 381598. What is i rounded to the nearest 1000?
-127000
Let g = 31 - 31. Suppose -2*b + c + 5 = -g*b, -3*b + 3*c = -15. Suppose 0 = -4*h + x - 717, -h + b*h - 177 = -x. Round h to the nearest one hundred.
-200
Let i = 2271778 - 1274695. Suppose 5*s + 2*a = -2900004, -5*s + 3*a - 1902911 = i. Round s to the nearest one hundred thousand.
-600000
Let a = 1.13 + -1.2. Let c = -2.6182 - -2.683. Let u = a + c. What is u rounded to three decimal places?
-0.005
Let f = 1615 - 1614.99996265. Round f to 5 dps.
0.00004
Let d = -58839673 + 89247959. Let f = -30408294.0000005 + d. Let t = f + 8. What is t rounded to 6 dps?
-0.000001
Let g = -0.119 - -0.039. Let l = g - 0.032. Round l to 2 dps.
-0.11
Let s = 1836 + -1840.498. Let a = 4.08 + s. What is a rounded to 1 dp?
-0.4
Let h = 3203335801072963 - 3203335920065727.99999805. Let b = -118992750 - h. Let j = b - 15. Round j to seven decimal places.
-0.000002
Let m = -5789643.800315 - -5789630. Let d = 13.8 + m. What is d rounded to 5 decimal places?
-0.00032
Let g = 1529.71740008 + -1528.9274. Let m = 0.79 - g. Round m to seven decimal places.
-0.0000001
Let d = -951 + 942.7. Let t = 70647.29852 + -70639. Let r = t + d. Round r to 4 dps.
-0.0015
Let p = -188 - -187.23. Let q = p - -0.770167. What is q rounded to 5 decimal places?
0.00017
Suppose 0 = -5*a - 7663061 + 29648686. Let t = a + 5802875. Round t to the nearest 1000000.
10000000
Let i = 2446100 - 827529. Suppose 5*r - 981429 - i = 0. Round r to the nearest one hundred thousand.
500000
Let t = 0.6918 - 0.2303. Let x = t - 0.47. Round x to 3 dps.
-0.009
Let a(z) = z + 1. Let o(r) = -227990*r + 10. Let j(u) = -10*a(u) + o(u). Let i be j(-5). Round i to the nearest 100000.
1100000
Let g = 12060 + -12149.552. Let n = g - -89. Round n to 2 dps.
-0.55
Let p(l) = l**3 + 9*l**2 - 10*l + 5. Let b be p(-10). Suppose -5*h + 5*g - 804 = 189171, b*g = -4*h - 152025. Round h to the nearest ten thousand.
-40000
Let z = -70 - -48. Let w = z + 21.2. Let k = w - -0.79999954. Round k to seven dps.
-0.0000005
Suppose -10363 + 27955 = 12*r. Let i(n) = 128*n - 2. Let a be i(6). Let y = r - a. Round y to the nearest one thousand.
1000
Let y = -18.463 + -0.237. Let b = -20.9 + 1.9. Let g = b - y. Round g to one decimal place.
-0.3
Let y = -1070935 - -283835. Round y to the nearest one hundred thousand.
-800000
Let c = 708413 - 347274. Suppose -78861 = -v + c. What is v rounded to the nearest 100000?
400000
Let q = -48.8 - -48.80416. What is q rounded to four decimal places?
0.0042
Let f = 2245 - 2345.1. Let v = 100.099999066 + f. Round v to 7 dps.
-0.0000009
Let b = -70834 - -531452. Suppose 0 = 2*o + b + 619382. Round o to the nearest 100000.
-500000
Let s = -3278.32911 + 3107.33. Let h = 400 - 229. Let i = s + h. Round i to 4 decimal places.
0.0009
Let y = 214.22 + -212. What is y rounded to zero decimal places?
2
Let p = -0.2028312 - -991228.2028312. Let v = p - 991209.00044. Let m = -19 + v. What is m rounded to 4 decimal places?
-0.0004
Let f = 26.51 + 1.79. Let d = f - 26. Let h = 2.326 - d. Round h to two dps.
0.03
Let p = 30.5999998142 - 30.6. Round p to seven dps.
-0.0000002
Let l = 6.72 - -8.288. Let s = -15 + l. Let f = -0.171 - s. Round f to two dps.
-0.18
Let z = -262.4 - -262.4006455. What is z rounded to 5 decimal places?
0.00065
Let s = 78.26 - 79. Let t = 0.7575 + s. What is t rounded to three dps?
0.018
Let s(o) = 2*o - 3. Let r be s(5). Let p = r + -2. Suppose -p*i = 5 - 35. What is i rounded to the nearest ten?
10
Let m = 0.01 + -0.06. Let f = 9.95 - m. Let p = 10.032 - f. What is p rounded to 2 decimal places?
0.03
Let q = -277.9648 + -0.0352. Let y = -278.00000508 - q. What is y rounded to six dps?
-0.000005
Let t = -305.26 + 439.65. Let u = 135 - t. Round u to 1 dp.
0.6
Let l = 121.999624 - 122. What is l rounded to 4 dps?
-0.0004
Let i = 83 - 82.67. Let p = -766 + 765.73. Let n = i + p. What is n rounded to one dp?
0.1
Let a = 67443.396 + -67443.81199831. Let w = a - -0.416. What is w rounded to 7 dps?
0.0000017
Suppose 0*w + 4*w - 378 = f, -4*w + 372 = -4*f. Let c = 905 + w. What is c rounded to the nearest ten thousand?
0
Let p = -377070.00900232 - -377046.009. Let v = 24 + p. What is v rounded to seven dps?
-0.0000023
Let y(b) = 3*b + 3. Let r(m) = 1. Let g(i) = -3*r(i) - y(i). Let s be g(-3). Let v be (-20)/(s*(-3)/19350). What is v rounded to the nearest ten thousand?
40000
Let w = -1068278 + -3211722. Round w to the nearest 100000.
-4300000
Let z = -1.670000123 + 1.67. Round z to 7 dps.
-0.0000001
Let s = -9301 - -13798. Let u(x) = -x**3 - 5*x**2 - 2*x - 6. Let v be u(-5). Suppose 3*y = -4*f + 3*f - s, f = v*y - 4504. Round f to the nearest 1000.
-5000
Let j = -69.66 - -70. Let r = -4.99 + j. What is r rounded to 0 decimal places?
-5
Suppose -14*y = -16*y. Let d be 1 - (y/4 - 1). Suppose -2*u - 123 = l + 31, -u = -d*l - 303. Round l to the nearest ten.
-150
Suppose 3*x + 26618 = -4*n, -2*n - 2 = 2. Round x to the nearest 1000.
-9000
Let a = -23 - -22.982. Let h = 0.0179989 + a. Round h to 6 dps.
-0.000001
Let i(c) = -1. Let h(q) = -2*q + 11. Let x(f) = h(f) + 6*i(f). Let m be x(4). Let g be m + -43*(16283 + -4). What is g rounded to the nearest 100000?
-700000
Let c = 24.600000138 + -24.6. What is c rounded to 6 decimal places?
0
Let l = 0.02 + 11.98. Let m = l - 11.935. Let d = m - -1.075. Round d to 1 decimal place.
1.1
Let n = -173.0000552 - -173. Round n to 5 decimal places.
-0.00006
Suppose 0 = -5*a + a, -4*h = -a - 16. Suppose -m + h*m + 65178 = 0. Let f = 10726 + m. What is f rounded to the nearest ten thousand?
-10000
Let v(h) = 284*h**2 - 4*h - 128. Let p be v(-21). Round p to the nearest one thousand.
125000
Let a = -65832 - -172982. Round a to the nearest 10000.
110000
Let m(i) = -9*i**2. Let p be m(-1). Let f = 11 + p. Suppose 3*d = -f*k - 740, -199 = 2*d - 4*k + 321. What is d rounded to the nearest 100?
-300
Let s(y) = -4*y + 4. Let v be s(-2). Let a be v/(-2 - 2) + 3. Suppose -5*n + 1338 - 9088 = a. What is n rounded to the nearest one hundred?
-1600
Let l be (3/(-5) - -2)*5. Suppose -d + 153 = -l. Round d to the nearest 100.
200
Let y = -14 + 14.255. Let u = 31.845 + y. What is u rounded to 0 decimal places?
32
Suppose -2*m = i + 7, -3*i = 5*m - 0*i + 15. Let r = m - -12. Let z be (-3 + -12297)*8/r. What is z rounded to the nearest 1000?
-16000
Let y = 121 + -111. Let p be (-10)/(-25) - ((-1236)/y - -2). What is p rounded to the nearest ten?
120
Let m = -100081.083 - -99937. Let g = -18.9 - 125.1. Let j = g - m. What is j rounded to 2 decimal places?
0.08
Let k = -0.6 + -27.4. Let c = 34.8 + k. Round c to the nearest integer.
7
Let b = 2692007 + 227993. What is b rounded to the nearest one hundred thousand?
2900000
Let w = 216.9998448 + -217. What is w rounded to 5 decimal places?
-0.00016
Suppose -6*u + 5100000 = -16*u. What is u rounded to the nearest 100000?
-500000
Suppose 5*a + 116 = 3*q - 339, q - 3*a = 153. Suppose -4*n - q = n. Let f be 12/n + (-26)/10. What is f rounded to the nearest integer?
-3
Let m be 2/15 - (33426000080/75)/8. What is m rounded to the nearest 1000000?
-56000000
Let p = 185.630100702 - -0.369885598. Let h = 186 - p. Round h to 6 decimal places.
0.000014
Let k(o) = -482*o - 441. Let s be k(14). What is s rounded to the nearest 1000?
-7000
Let j be (-5)/(-2)*42*(-1)/(-5). Let d(t) = -1437*t**3 + 20*t**2 - 34*t - 49. Let i be d(j). What is i rounded to the nearest one million?
-13000000
Let q = 199.336 - 200. Let r = q + 0.004. What is r rounded to one decimal place?
-0.7
Let q = 787 - 786.99167. What is q rounded to 4 dps?
0.0083
Let z = -1953.9 + 1953.899991371. What is z rounded to 6 dps?
-0.000009
Let x = -1.068 + 1.0678418. Round x to 5 dps.
-0.00016
Let l = 27.2 - 27.514. Let x = 0.313999574 + l. What is x rounded to 7 dps?
-0.0000004
Let q = 105.000000832 + -105. Round q to seven decimal places.
0.0000008
Let z = -2251 + 225 | {
"pile_set_name": "DM Mathematics"
} |
ose 3*a + i*a = 0. Solve a = s - 2*b - 15, -8*b - 50 = -5*s - 3*b for s.
5
Let l(g) = -g**2 + g + 5. Let z be l(0). Let s(x) = x - 3. Let n be s(z). Solve -3 = -3*a - 3*j, -5*a + 0*a - n*j = -5 for a.
1
Let p = 5 + -7. Let c be ((-3)/(-4))/(p/(-16)). Let d(q) = -q**3 - 10*q**2 + q + 12. Let k be d(-10). Solve z + k*z + c = -x, 2*x = -5*z - 9 for x.
3
Suppose -4*a - 25 = -9*a. Suppose -u + i - a*i + 13 = 0, -4*u - i + 22 = 0. Solve -3*l + 3*n = 0, -l + 14 = l + u*n for l.
2
Suppose -5*l - 9 = -5*x + 6, -5*l - 5*x = 15. Suppose 0 - 9 = -3*b. Let c be 5 - (3 + b + l). Solve 5*j - c*j = a + 5, -2*a = 2*j + 2 for a.
-2
Let x = 0 - 1. Let s be (x/(-2))/((-1)/(-32)). Suppose -2*p - 46 = -4*l, -5*p - 19 = -6*l + 4*l. Solve -l = -3*z - 3*b, 4*z + z + s = 4*b for z.
0
Let t(u) = -u**2 - 3*u + 2. Let z be t(-3). Suppose 4*c = 3*c + z. Solve 0 = -2*p - 2*k - c*k - 6, -2*p + 3 = k for p.
3
Suppose 3*n - 1 = a, -2*a + n = -7*a + 27. Solve 0*y - a*s = -3*y - 14, 3*s - 3 = 0 for y.
-3
Suppose 2*x - 3*x = 0. Let o be (0 + x)/(1 + 1). Solve 3*s + v - 14 = o, s + 14 = 6*s - 3*v for s.
4
Let d be (-2)/(-1) - (-2 - 4/4). Solve -4*c = -0*c - 4, -r = c - d for r.
4
Let q = 17 + 3. Suppose 0 = -5*o - 25, -5*d - 3 - 2 = -o. Let k be (1/d)/((-2)/q). Solve k*a = 4*m + 5, 3*m = -0*a + 5*a for m.
-5
Let w = 1 + -6. Let i = w - -7. Suppose -4*c + 19 = 3*h - 0*h, 0 = 3*c - i*h - 10. Solve 5*b + c*v = -0*v - 9, b + 5*v - 15 = 0 for b.
-5
Let l = -9 + 17. Solve u + 2*u - 27 = -3*k, 0 = -4*k + 3*u + l for k.
5
Let t(n) = -n**2 - 10*n - 7. Let u be t(-9). Solve 2*x + 2*c = 8, 3*c = 5*x + u*c - 8 for x.
2
Suppose 3*d - 3 = 2*w - 5, -3*w + 5*d = -2. Solve 5*b + w*u = -13, -2*b - 3 = 3*b - u for b.
-1
Let y = 1 + -4. Let u(k) = -k**2 - 3*k + 2. Let t be u(y). Solve -3 = 2*s - 5*d, -3 + 0 = -5*s + t*d for s.
1
Let d = -11 + 11. Suppose -2*r + d = -4. Solve 0*z + 4*z = 3*b - 4, -r*z = -3*b - 4 for z.
-4
Let q(s) = 4*s + 15. Let n be q(0). Solve 0 = 5*m + x + 12, -4*m + 3*x = n + 6 for m.
-3
Suppose -3*c - 8 = -7*c. Suppose -4*n - 2 = -2*r, -r - c*n = 2*n - 13. Solve 4*p - 5*t + 17 = -0*p, 0 = p - r*t + 8 for p.
-3
Let w be (-4)/(-10)*5 + 3. Solve -w*g = 4*a + 23, -4*g + 2 = 5*a + 24 for a.
-2
Let l(c) = -c**2 + 12*c + 17. Let f be l(13). Solve -3*u = -f*g - 7, g - 3*u - 8 = u for g.
-4
Let v = 8 + 0. Let q(h) = 13*h**3 + 2*h**2 - 1. Let i be q(1). Solve 5*n + 2*l + i = 0, -5*l - v = -n - 0*l for n.
-2
Suppose -8*s + 6*s = -18. Solve 4*d - y - s = 0, -3*d - 3*y = 2*d + 10 for d.
1
Let q be (-12)/15 + 12/(-10). Let d be (-4 - 1)*q/5. Solve -37 = -4*f + 5*g, f + 4 + 3 = -d*g for f.
3
Let b(a) = a**3 + 3. Let u be b(0). Solve -9 = u*p + 3*t, p - 2*p + 3*t - 11 = 0 for p.
-5
Let w be 3 + -1 + 11/1. Solve h + 5*i - w = 2*h, 6 = 2*i for h.
2
Suppose -3*a + 2 = -5*v - 1, -4*v - 5*a + 5 = 0. Solve 0 = 2*q - k - 11, v = 4*q + k - 0*k - 7 for q.
3
Let j = 10 - 4. Solve 5*g + 13 = 4*b, -2*g - b = -j*g - 17 for g.
-5
Let z be 8/28 + 122/14. Suppose 4*w = 3*s + 16, 0 = -4*s + w - 14 - 3. Let f be 5 - (-1 - 1 - s). Solve -f*y - z = -2*a, 2*a = -y + 3*a - 3 for y.
-3
Let p = 0 - -2. Let v be (-68)/(-18) - (-6)/27. Suppose -2*y - 3*s = 2, -v*s + 1 - 5 = 2*y. Solve 0 = -y*u - 8, -4*g + 6 = -p*u - 22 for g.
5
Let s(j) = j - 4. Let x be s(9). Let h be (-7 + x)*(-1 - 0). Suppose -8 = -h*m - d + 3*d, -19 = -3*m - 4*d. Solve -24 = m*g + t, -g - 24 = 7*t - 2*t for g.
-4
Let l be (-41)/(-5) - (-4)/(-20). Suppose -3*t - 4*a + 8 = 0, 5*t - 10 = -2*a - 3*a. Solve -l = 4*j - 0, k - j = t for k.
-2
Suppose 6*a = 11*a - 10. Let i(j) = 0*j**3 - j - 2 + 17 - j**2 + j**3. Let c be i(0). Solve -2*b + 7*b = 5*f - c, 5*f = -a*b + 22 for b.
1
Suppose 0 = -6*u + u + 10. Let v(o) = 0*o + o + 2*o - u*o. Let t be v(3). Solve 5*g - 4*p = -13, t*p = -2*g + 6*p - 8 for g.
-1
Suppose d = -d + 10, -d + 1 = -2*w. Let p = 0 + w. Let h be 0/(-1*p*-1). Solve -3*b + 3*z + 15 = h, -b + 2 = b + 2*z for b.
3
Let b = 19 + -6. Let n = b + 4. Solve 0 = k + 4*m - n, -5*k = 2*m - 23 - 8 for k.
5
Suppose 2 = 4*p + 2. Solve 5*c = c - m - 9, 3*c + 3*m + 18 = p for c.
-1
Suppose -3*q - 72 = -3*n, -n - 4*n + 134 = 2*q. Suppose 0 = -p - p + n. Solve -7*s + 3*s + 36 = -4*v, -2*s + v = -p for s.
4
Suppose -9 = -4*m - y, -5*m = -8*y + 4*y + 15. Solve -i = 2*q - 1, -2*i - 3 = 2*q + m for q.
3
Let z(q) = -q**3 - 7*q**2 + 16*q - 15. Let d be z(-9). Let j = 0 + 6. Suppose -j*w = -w - 10. Solve 0*f + d*f + h - 5 = 0, 5*h = -w*f - 14 for f.
3
Suppose 0*c - c = -4. Suppose -4*u + 5 = -5*r, 3*u - c*r - 1 - 3 = 0. Suppose u = 3*z - 8 - 7. Solve -5*a - i - 2*i + 40 = 0, -z*a + 35 = 2*i for a.
5
Suppose -2 = -2*h + z + z, -5*h - 15 = 5*z. Let q = h + 5. Solve 4*i + 6 = -v, i = 2*v - q*i - 14 for v.
2
Suppose 0 + 6 = -2*c. Let m be (4 + c)/(2/(-6)). Let k = m - -5. Solve -k = -4*i - 3*w + 2, -4*i - 5*w = -4 for i.
1
Suppose 3*a - 4*o = -9*o + 40, 5*a + o = 30. Solve a*m - g + 4*g + 16 = 0, -3*m - 5*g = 0 for m.
-5
Suppose -5*l + 3*l = -2. Let j be l - (1 + 2) - 1. Let a = 1 - j. Solve p - 4*p - a*w = 0, -2*w = -3*p + 18 for p.
4
Let c(z) = z**2 + 4*z + 6. Let l(f) = f**2 + 7*f + 1. Let y be l(-6). Let k be c(y). Solve -2*n - 4*a + 10 = 0, -2*n + 0*n = 5*a - k for n.
3
Let p = 18 + -8. Suppose 0 = 5*k - 3*d - p, -5*k + 0*k + d = -10. Suppose k*r = -6*h + 3*h, -4*h = -r. Solve j - 5*s + 0*s = -19, r = 2*j + 4*s - 18 for j.
1
Let v(a) = a**3 + 4*a**2 - 2*a - 1. Let m be v(-4). Suppose -3*s + 27 = 3*l, 5*s - l - 37 = -4*l. Solve 4*q = s*z + 17, -z - q = -0*z + m for z.
-5
Let k(u) = -u - 5. Let r be k(-8). Suppose 6 = 4*d - 6. Let l = r - d. Solve 11 + 0 = 5*p - v, l = -v + 4 for p.
3
Let d(t) = -t**2 - 4*t + 5. Let c be d(-4). Let n be 8/12 - (-7)/3. Let p be (2/n)/((-6)/(-18)). Solve p*x = -2*b + 3*x - 5, -3*b = c*x + 14 for b.
-3
Let u = -137 - -137. Solve u = k - 5*c + 19, 5 = 3*c - 4 for k.
-4
Let v = 8 - 5. Let z be (6*(-2 + v))/2. Solve -z*s - 4 = -2*l + 3, 3 = 3*s + 3*l for s.
-1
Let m(j) = j**2 + 6*j + 1. Let z be m(-7). Let t(r) = r - 5. Let g be t(z). Solve -4*d + 2*l - 6*l = 16, -d - g*l - 4 = 0 for d.
-4
Let t(c) = 5*c**2 - c - 1. Let j be t(-1). Let z be 66/8 - (-2)/(-8). Solve 2*u = 2*r + z, u + j*r - 3 = 7 for u.
5
Let g(s) = -5*s**3. Let d be g(-1). Suppose 0 = -4*a + u + 20, 4 = -4*a - 7*u + 2*u. Solve l + 13 = -d*h, -a*h - 23 = -0*l + 5*l for l.
-3
Let s be (-2)/(-7) + 33/7. Solve s*h - 2*w = -6, -2*h + 4*w + 0 = -4 for h.
-2
Let u(x) = -x**2 - 7*x - 3. Let r be u(-6). Suppose -r*y = -4*a + 4, 2*y - a - 1 = -2. Solve 0 = -3*m - b - 2*b - 3, y = -3*m + 5*b - 3 for m.
-1
Suppose v - 4 = -0. Solve 5*l + 3 = -0*p - v*p, -4*p - 3*l - 5 = 0 for p.
-2
Let c = 88 + -30. Let r be c/8 + 8/(-32). Suppose -4*m + r = -13. Solve 5*n + 26 = -4*g - m, -10 = 4*g - 2*n for g.
-4
Let f(d) = -d**2 + 9*d - 2. Let j be f(7). Solve -2*w + 2 = z, -z + 2*z + j = 5*w for w.
2
Suppose 2*p + 3*j = 2*j + 4, 0 = 5*p + 2*j - 10. Solve -2*u - p*s + 0*s = 0, -3*u - 4*s = 5 for u.
5
Let a be 3 - 2 - 1*-2. Suppose -t + 2 = -a. Let d be 7/(-49) - 85/(-7). Solve -l = b, -t*l - 8 = d for b.
4
Let m be (-44)/11 - (1 + -8). Solve m*f - x + 6 = 3, 0 = 3*f + x + 9 for f.
-2
Let x(g) = g - 3. Let n be x(7). Let d = 0 + n. Suppose 5*h + k + 1 = -3*k, 3*h - 25 = 4*k. Solve 9 = -u + d*j - 0, h*j = 5*u + 28 for u.
-5
Let x(a) = -3*a + 4*a + 0*a - 2. Let n be x(4). Suppose -10 = -2*h - 3*h. Solve 4*f - n*q + 16 = 0, -f + h*q - 4 = -2*q for f.
-4
Let s be 23/7 + (-4)/14. Suppose s*n + 5*b = 5*n + 23, 4*b = -3*n. Let m(f) = 2*f**2 + 3*f. Let a be m(n). Solve 4*k - a = -5*h, 8 = 3*h - h - 4*k for h.
4
Let x be (198/27)/(-11)*-3*2. Solve 0 = -4*w + 2*t + 2, 0 = -2*w - 0*w + 2*t - x for w.
3
Suppose 4*o = -q - 12, q = -5*o + 2*q - 6. Let a be 0 - -1 - 2*o. Let x be (-4)/(-14) + (-24)/(-14). Solve 1 = -4*m - 2*y + a, -14 = -5*m + x*y for m.
2
Suppose -10 = 3*a + 5. Let i = 22 - 14. Let s = i + a. Solve 5*x - 3*z - s = 0, 3*x - 5*x - 3*z = -18 for x.
3
Suppose -4*o = -108 + 48. Solve u - 3*f = -o, -2*f = 3*u - 0*f + 1 for u.
-3
Suppose -3*c = -8*c + 25. Suppose -2*r = -3 + 1. Suppose 4*w = c*i + r, 3*w - 2*w - 19 = -5*i. Solve -w*q + 2 = z + 6, 2*z + 3*q + 8 = 0 for z.
-4
Let g(j) = -j - 10. Let l be g(-9). Let k be (-5 - -5)*l/(-1). Solve -u + 5*m - 10 - 10 = k, 0 = 3*u - 4*m + 16 for u.
0
Let u | {
"pile_set_name": "DM Mathematics"
} |
Suppose m + 4*d - 6 + 22 = 0, 2*m - 4*d - 16 = 0. Sort 1, w, m in ascending order.
m, 1, w
Suppose -12*t + 5*t - 7 = 0. Let s be (3 + -2)*t*(5 - 2). Put s, 2, 4, 5 in decreasing order.
5, 4, 2, s
Let m(a) = -a**3 + 13*a**2 + a - 20. Let i be m(11). Let r = i - 247. Put -3, r, -2, 4 in decreasing order.
4, -2, -3, r
Let j = -8222 + 8226. Let n = -18 + 20. Sort n, j, -1, 9 in descending order.
9, j, n, -1
Let g = -57 + 287/5. Let z be 2*1 + (-7 + 6)*(-4 + 3). Sort z, 4, -0.1, g in ascending order.
-0.1, g, z, 4
Let r = 43318 - 43377.994. Let d = r + -0.006. Let z = d - -60.2. Put z, 3, 7, -3 in descending order.
7, 3, z, -3
Suppose -165*n + 458 = 128. Put -2, 3, -1, -18, n in decreasing order.
3, n, -1, -2, -18
Suppose -27 = l + 2*l. Let m(c) = c**3 + 9*c**2 + 5*c + 20. Let t be m(l). Let f = t + 22. Sort f, -4, -1.
-4, f, -1
Let r(j) = -j + 1. Let d(t) = 17*t + 35. Let s(k) = d(k) - 2*r(k). Let a be s(-2). Put a, 0, 109, -3 in increasing order.
a, -3, 0, 109
Let s = -147.41 + 148. Let i = -0.49 + s. Put -50, -3, i, -0.2 in ascending order.
-50, -3, -0.2, i
Let y = -23833/28 + 5967/7. Sort y, -29/3, -0.4, -4/3, 0.1 in descending order.
y, 0.1, -0.4, -4/3, -29/3
Let o be ((-7)/(-1365)*-6)/((-7)/((-21)/2)). Put 2, 1/5, o in increasing order.
o, 1/5, 2
Let x = -14 + 12. Let h = -0.18 - -0.28. Suppose -v = 3*v, 4*a + 2*v = 8. Sort 1/6, x, a, h in decreasing order.
a, 1/6, h, x
Let n = 3557 + -3552. Let o = -0.1 - -0.1. Let r = 6.18 + -0.18. Sort o, n, r in ascending order.
o, n, r
Let f be -1*(1 - -1)/2. Suppose -t = -2*d + 6 - 1, -4*t + 12 = 0. Let o be 12/(48/34) - (-10)/20 - 6. Sort o, 0, d, f.
f, 0, o, d
Let b = -1871.7 + 1872. Let o = -432 - -431.91. Sort b, -1, o, -2/19.
-1, -2/19, o, b
Let t be ((-21)/28)/((-3)/(-3 - (-1 - -1))). Let v = 193/4 + -48. Put t, 5, v, -2 in ascending order.
-2, t, v, 5
Let y = 4.1 + -0.1. Suppose -6 = -15*a - 36. Let p(h) = 2*h**3 + 3*h**2 + 5*h + 9. Let t be p(a). Put 0.2, y, 0.04, t in ascending order.
t, 0.04, 0.2, y
Suppose -43 + 16 = -3*v - 3*b, -12 = 4*v - 2*b. Put -1, v, 58, -4 in increasing order.
-4, -1, v, 58
Let b be (-36)/(-252) + 1398/14. Let m be b/75*((-34)/(-20) + -2). Let a be 2/(-14) + 2/7. Sort m, a, 0.4, 0 in descending order.
0.4, a, 0, m
Let v = 756.857 + -756. Put 0.1, -0.3, v, 4, 0.5 in decreasing order.
4, v, 0.5, 0.1, -0.3
Let b = 9506.2 + -9506. Sort -3, b, -122, 3 in descending order.
3, b, -3, -122
Let c = -11440/51399 + 2/5711. Sort -0.1, c, 4/5 in descending order.
4/5, -0.1, c
Let z = -115/53 - -177/106. Let w = -2 - 3. Let j be 30/8 - (-21)/(-28). Sort j, w, 0, z in descending order.
j, 0, z, w
Suppose 2*b - 34 = -2*l - 38, -l + 5*b - 14 = 0. Put l, 6, 1, -31, 4 in increasing order.
-31, l, 1, 4, 6
Let u be (-3)/(6/(-4)) + -3. Suppose -6 = -4*l + 14. Suppose 2*k = l*j - j + 16, -4*j - 14 = -k. Sort 3, 1, j, u in descending order.
3, 1, u, j
Suppose 0*y + y + 10 = 0. Suppose -171 = -12*f + 2*m - 45, -5*f = 3*m - 87. Put 1, y, f in descending order.
f, 1, y
Let f = -482 - -484. Let d(y) = 0*y - y - 3 + 4. Let u be d(-5). Put f, u, 4, -3 in descending order.
u, 4, f, -3
Let t = 3042 - 3047. Put -0.3, t, -3/8, 9, -4 in ascending order.
t, -4, -3/8, -0.3, 9
Let w = 8425 + -8402. Let o be (60/(-18))/(4/(-6)). Suppose 4*d + o + 11 = 0. Sort d, -3, w.
d, -3, w
Let h = 42.6 + -34.6. Sort -2/5, h, 2/3.
-2/5, 2/3, h
Suppose -2*i + 37*u + 68 = 33*u, -5*i = -2*u - 122. Sort 9, i, 1, 3, 0 in increasing order.
0, 1, 3, 9, i
Suppose -22143*z = -22142*z - 15 - 2. Put 2, -5, z in descending order.
z, 2, -5
Let h(l) = l**3 - 9*l**2 - l + 9. Let j be h(9). Suppose 2*o + 0*o + 8 = j. Suppose 5*f + 20 = 0, -3*x - 4*f = -7*f - 24. Put x, 5, o, -5 in decreasing order.
5, x, o, -5
Let k = -84.13 + 85. Let a = -374 + 375.17. Let x = a - k. Sort -2, x, -4 in descending order.
x, -2, -4
Let d be (-6 - 84/(-15))/(90/25 - 4). Put 2/15, -0.03, 11, -2/3, d in increasing order.
-2/3, -0.03, 2/15, d, 11
Suppose 38*s + 50*s = 42*s + 46. Put 0, -2, -235, s in descending order.
s, 0, -2, -235
Let q = 16.5 + -14. Let k = q + -11.9. Let d = k - -9. Sort -5, d, 0.8 in decreasing order.
0.8, d, -5
Let a = 36.6 - 36.908. Let w = a - -0.408. Sort -1/7, -33, w in descending order.
w, -1/7, -33
Let q = -0.2688 - 0.0312. Put q, 4, -1/3, -12 in descending order.
4, q, -1/3, -12
Let h(u) = 7*u - 137. Let c be h(20). Suppose -3*q = 12*a - 9*a + 132, -5*a = c*q + 138. Sort q, -5, -0.2, 3 in descending order.
3, -0.2, -5, q
Let f(g) = -3*g - 10. Let d be f(-4). Suppose d*u - 3*u - 2 = 0. Suppose 15*w = -10*w - 125. Sort w, 4, 5, u in decreasing order.
5, 4, u, w
Let o be -12 + (9 - (-7 + 13)). Let c be 1*((o/3)/3 - 1). Sort c, 5, -5/4, 5/3.
c, -5/4, 5/3, 5
Let g = -6209 + 6250. Put -2, -2/9, -9, g in decreasing order.
g, -2/9, -2, -9
Let y = -76 + 46. Let u = -67 - y. Let b = u - -36.8. Put b, 3/2, 3 in descending order.
3, 3/2, b
Let v = -10 - -7. Suppose -4*d = 44, -33 = 441*a - 437*a + 3*d. Sort a, -1, -4, v.
-4, v, -1, a
Let h = 42 - 42.3. Let i = 0.03683 - 0.23683. Let w = -0.5 - 2.5. Put h, w, i in ascending order.
w, h, i
Suppose 29*n - 86*n = 13*n + 140. Sort 2, n, -1, 60.
n, -1, 2, 60
Let v(s) = 6*s**2 - 83*s - 14. Let u be v(14). Sort u, 0.4, 4, -7 in ascending order.
-7, u, 0.4, 4
Let h be (7/28)/((-3)/9). Put h, 69, 0 in ascending order.
h, 0, 69
Let n = 993 + -949. Suppose 2*s - 3*b + n = 0, -36*b + 41*b = -4*s - 66. Let a(m) = -m - 1. Let g be a(1). Put 3, s, 2, g in decreasing order.
3, 2, g, s
Let s = 1/3 + -1/21. Let d = 8261.2 - 8262. Put 0.5, d, s in descending order.
0.5, s, d
Suppose 12*t - 10 = 7*t. Let l = t + 30. Let v be (3 - (-9)/(-6))/(12/l). Sort 3, -1, 2, v in descending order.
v, 3, 2, -1
Let w(i) = -i**2 - 9*i - 15. Let g(l) = -4*l + 13. Let n be g(5). Let o be w(n). Let k be (1/o)/(2/(-2)). Put 0, -5, k in increasing order.
-5, 0, k
Let i(m) = 3*m**3 + 53*m**2 - 10*m + 139. Let q be i(-18). Put q, -6, 1/50, 2/9 in descending order.
2/9, 1/50, q, -6
Let y be 54/10 + -1 + -4. Let b = 4776 - 4781. Put -2/7, 3/4, y, b in decreasing order.
3/4, y, -2/7, b
Let a = 24 + -14. Suppose 4*m + 13*p - 31 = 10*p, 0 = -5*m - 4*p + 40. Put a, m, -0.5, 2/9 in descending order.
a, m, 2/9, -0.5
Let k = -489 + 311. Let d = 177.84 + k. Put 1, -0.3, 0.01, d in increasing order.
-0.3, d, 0.01, 1
Suppose -2*c + s - 9 = 0, -3*c + 5*s = -0*s + 31. Suppose -1637*w + 30 = -1634*w + 5*x, 170 = 2*w - 5*x. Sort 0, c, w in descending order.
w, 0, c
Let g = 1557 + -1575. Suppose 4*z + 111 = -z - r, -113 = 5*z + 3*r. Let n = z - g. Sort n, 0, 1 in decreasing order.
1, 0, n
Let w = 20542 - 20544. Let f be (-1 - 1) + 9/(-3). Put 0, w, 34, f in ascending order.
f, w, 0, 34
Suppose 19*g + 36 = -67 - 49. Put g, -5, -154/5 in decreasing order.
-5, g, -154/5
Let f be (-31 + 19485/630)*(-4)/(-3). Put 29, -0.04, f in descending order.
29, -0.04, f
Let o be (-10 - -7) + -1 + 0. Suppose 10 = 5*a - 4*l, 5*l - 6 = -3*a - 0*l. Suppose -101*w + 47*w = 57*w + 111. Sort o, w, a, 0 in ascending order.
o, w, 0, a
Let b = -6 + 4. Let j be (-7)/(91/(-26)) - (6 - (-9 - -13)). Let g(c) = c**2 - 6*c - 3. Let p be g(6). Sort p, b, j, -0.2.
p, b, -0.2, j
Suppose 472*t - 519*t - 141 = 0. Let i be 0 + -3 - 8*1. Put i, t, 4 in increasing order.
i, t, 4
Suppose -1 = -v + 3*u, 3*v - 4*u = -5*u - 57. Let i = -7 - -6. Let f be (-1 + 1)/(-1 + i). Sort f, 3, -2, v.
v, -2, f, 3
Suppose -3*p - 18 = 2*s, -4*s + 12 = 31*p - 33*p. Sort -3, -69, 4, s.
-69, -3, s, 4
Suppose 0 = -16*w + 174*w + 632. Put w, 0, -1, 133 in decreasing order.
133, 0, -1, w
Suppose 0 = 2*w + 2*w + 40. Let s(o) = -o + 1. Let y be s(w). Let x = -2.89 - 1.11. Sort 4, y, x in increasing order.
x, 4, y
Let c = -2468 - -2463. Suppose -5*f = 4*i - 9, -2*i = 3*f + 2*i - 7. Sort f, -4, 4, c in decreasing order.
4, f, -4, c
Let u be (32/(-14) - -2)/(-18 - 1397/(-77)). Sort u, -3/8, 18/113, -6 in increasing order.
-6, u, -3/8, 18/113
Suppose -g - 4*q = -1, -20*g + 5*q - 8 = -19*g. Sort 4, 3, g, 5, -83 in decreasing order.
5, 4, 3, g, -83
Let d = 153785 - 153788. Let m be (-74)/(-14) + (-4)/14. Sort 7, m, d, 3 in decreasing order.
7, m, 3, d
Let x be 2*((-462)/(-12))/(-11). Put -4, 13, x in decreasing order.
13, -4, x
Suppose 5 = -2*a - u, 27 = 3*u + 36. Put -14, a, 0.11, -2/3 in descending order.
0.11, - | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - 1)*(0*f**2 - f**2 - f**2).
-257*f**2 - 2
Expand -1425*q - 4 + 1609*q - 3 + (2*q + 3*q - 6*q)*(-4 - 1 + 4) + 2*q - q + q.
187*q - 7
Expand (-4 + 5 + 1)*(889*o - 236 + 236 - 4928*o).
-8078*o
Expand l + 2*l**4 - l - 2*l**4 - 2*l**4 + 2*l**4 + 2*l**4 - 2*l**4 - 3*l**4 + (110 - 246 + 106)*(4*l**4 + 2*l**4 - 5*l**4).
-33*l**4
Expand -4 + 4 - 3*a**2 + (-3 + 0 + 4)*(a**2 - 4*a**2 + a**2) - 6323 + 231*a**2 + 6323 + (2 + 0 - 4)*(2*a**2 - 3*a**2 + 3*a**2).
222*a**2
Expand ((-1 - 2 + 5)*(-y + 4*y + 0*y) - 450*y - 333*y + 100*y - 4*y + 2*y + 4*y)*(4*y**2 + 0*y**2 - 5*y**2).
675*y**3
Expand ((12 + 75 - 4)*(r + r + 3*r) + (-1 - 1 + 4)*(2*r + 0*r - 3*r))*(-3*r + 3*r - 2*r**3).
-826*r**4
Expand (72*i**2 + 238*i - 238*i)*(-i + 0 + 0 + i - 3*i - 5*i + (2*i + 1 - 1)*(-5 + 3 + 4))*(21 - 21 + 16*i).
-4608*i**4
Expand (14*j - 2*j - j)*(3*j - j - 4*j + (3 - 5 + 7)*(9*j + 72 - 72)).
473*j**2
Expand (-1374709*y**5 - 3 + 1374856*y**5 + 2)*(3 - 3 + 1).
147*y**5 - 1
Expand (96 + 26 + 79)*(0 + 0 - 2*i) + 4*i - i - 2*i - 343 + 40*i + 343.
-361*i
Expand (-f + 0*f + 0*f)*(3 + 0 - 2) + 567 - 40319*f - 10553*f - 281 - 286.
-50873*f
Expand (4*q**2 + 0*q**2 - 2*q**2)*(-141*q + 139*q - 2 - 21) - 18*q**3 - 13*q**3 + 10*q**3.
-25*q**3 - 46*q**2
Expand 27 - 62*t**3 - 65*t**3 - t**2 - 18 - 14 + t**3 + t**3 - 3*t**3 + (-2 + 2*t**2 + 2)*(-2*t + 2*t + 2*t) - t**3 - t**3 + 3*t**3 - t**3 + t**2 - t**2.
-124*t**3 - t**2 - 5
Expand (40*t**4 - 25*t**3 + 25*t**3)*(2 - 2 + 4 + 2 + 3 - 4 + (-1 + 3 - 3)*(4 - 3 - 3)).
280*t**4
Expand (3*c - 4*c + 3*c)*(-2 + 1 - 4)*(-5*c**3 - 6*c + 6*c)*(c - 1 + 1).
50*c**5
Expand (-42 + 109 - 69 + 32*p)*(-1 + 0*p + 0*p + p).
32*p**2 - 34*p + 2
Expand (-9 + 5 - 4)*(3*t - 2*t - 3*t + (2*t - 1 + 1)*(-4 + 2 + 1) - 4*t + 4*t - 2*t + (2 - 5 + 1)*(102*t + 649*t + 12*t)).
12256*t
Expand (100 + 805 + 0*o + 122 - o)*(-1 + 2 - 3).
2*o - 2054
Expand (-15*o + 7*o + 25*o)*(-9*o + 6*o + 6*o)*(-4 + 2 + 4).
102*o**2
Expand (-16 - 2 + 3 - 10)*(-5*a + 21*a - 18*a).
50*a
Expand (5*f + 0 + 2 - 2*f)*(f + f + 0*f + (0 + 1 + 2)*(-6515 - 82*f + 6515)).
-732*f**2 - 488*f
Expand 2*n**3 - 5*n**4 - 2*n**3 + (2 + n - 2)*(2*n**3 - 3*n**3 + 3*n**3) + 3*n**4 - 3*n**4 + n**4 + n**4 + 3*n**4 - 3*n**4 + 9*n**4 + 8*n**3 - 5*n**3 - 10*n**4.
-2*n**4 + 3*n**3
Expand (-9293 + 9490 + 3927)*(2*m**5 + 0*m**4 + 0*m**4).
8248*m**5
Expand (0*t - 2*t + 4*t)*(0*t**2 - 1029 + 1029 - 181*t**3 + 2*t**2 - 110*t**3).
-582*t**4 + 4*t**3
Expand v**5 - 4*v**5 + 0*v**5 + (16*v**4 + 2*v**4 - 4*v**4)*(0*v - v + 2*v) + (6*v**4 - 2*v**4 + 2*v**4)*(3 - 3 + 2*v) + v**5 + 2*v**2 - 2*v**2.
24*v**5
Expand -z**2 + 22764 + 36*z - 22764 + (2*z - 5*z + 5*z)*(-3*z + 0*z + 4*z) + 2*z - 2*z + z**2.
2*z**2 + 36*z
Expand (0 - 2 + 0)*(4*m - 5*m - m) + 168*m + 8 + 63*m - 178*m.
57*m + 8
Expand (-2 + 2 + 2)*(-3 + 3 + o**2) + 9*o**2 - 5*o**2 - 11*o**2 + 170*o - 170*o - 8 + 13*o**2.
8*o**2 - 8
Expand (-2*x + x - x)*(2634*x - 581*x + 1464*x + 12434*x + 2728*x).
-37358*x**2
Expand (1 - 9 - 3)*(6328 - 6328 - 66*m) + 6*m + 6*m - 2*m.
736*m
Expand (s + 0 + 0 + (-5*s + 0*s + 2*s)*(-2 + 2 - 10) + 0 + 0 + s)*(1 - 9 + 1 + s).
32*s**2 - 224*s
Expand (-2 + 1 + 2 + (1 + 3 - 2)*(0 + 4 + 10))*(6*v + 7*v - 7*v).
174*v
Expand (-2*m**2 - 1 + 1)*(12*m - 12*m - 7*m**3) + 77*m**5 - 23*m**5 + 30*m**5.
98*m**5
Expand 15*b + 2*b**4 - 15*b + (4*b - 4*b - 2*b**2)*(2*b**2 + 1 - 1) + 0*b**4 + 7*b**4 + 14*b**4.
19*b**4
Expand (-4*v**2 - 5*v**2 + 0*v**2)*(0 - 8*v**2 + 0) + 0*v - 5*v**4 + 0*v + (-2*v - v + v)*(-v**3 + v**3 + 2*v**3) - v**4 + v**4 - v**4.
62*v**4
Expand (15*j - 72*j**2 - 15*j)*(-7 + 1 - 1) - 4*j**2 + 5*j - 5*j.
500*j**2
Expand (6 - 6 + 4)*(20335 - 10171 - 10165 + 3465*c).
13860*c - 4
Expand (2*n**2 - 2 + 2)*(-365*n - 289*n - 426*n)*(-1 + 1 - 5).
10800*n**3
Expand -8*b - 80*b**3 + 80*b**3 + 2*b**4 - b**4 + 0*b**4 - b**4 + (5*b - 8*b + 9*b)*(b + 2*b**3 - b).
12*b**4 - 8*b
Expand 33 - 33 + 9*o**3 + (6*o - 2*o - 2*o)*(173*o**2 + 8877*o - 8877*o).
355*o**3
Expand (-3*f**2 + 2*f**2 - f + 3*f**2)*(16*f + 10*f + 2*f) - f**3 - 1 + 0*f**3 - f**3 + 14*f**3 - 7*f**3 - 4*f**3.
57*f**3 - 28*f**2 - 1
Expand (v + 0 + 0)*(0*v**3 - 10*v**3 + 0*v**3 + (3*v + 3*v + 3*v)*(5*v**2 - 4*v + 4*v)).
35*v**4
Expand (-1 - 1 - 2)*(-d**5 + 3*d**4 - 22*d**3 + 4*d**4 - 8*d**4) + d**5 + 3*d**5 + 2*d**5.
10*d**5 + 4*d**4 + 88*d**3
Expand (1523*r + 199*r - 166*r)*(5*r**3 - 5*r**3 + 2*r**4).
3112*r**5
Expand (-26*v + 7*v - 8*v)*(-39*v**3 - 48*v**3 + 23*v**3).
1728*v**4
Expand 2*h**5 - 6*h**5 + 2*h**5 + ((-2*h**2 + 3*h**2 - 2*h**2)*(-12*h**2 + 29*h**3 + 12*h**2) + (-1 + 0 + 3)*(-2*h**5 - h**5 + 0*h**5))*(59 - 20 - 24).
-527*h**5
Expand (-1121 + 2327 - 161*r - 1189)*(-r + 4*r - 4*r).
161*r**2 - 17*r
Expand -5*m + m - m + (22*m - 34*m - 21*m)*(-1 + 0 - 1).
61*m
Expand (0*g**2 - 4*g**2 + 2*g**2)*(2*g + 0*g + 0*g) + 63*g**2 - 62*g**2 - 292*g**3 + g**2.
-296*g**3 + 2*g**2
Expand 618*h**2 - 202*h**2 + 85*h**2 + (2*h + 3 + 1 - 6)*(-h + 2*h + 6*h).
515*h**2 - 14*h
Expand (-3*g + 3*g - 2*g**2 - 2*g**2 + 4*g**2 - g**2 + (4 - 5 + 3)*(2*g**2 - 1 + 1))*((10 - 4 - 10)*(271 - 271 - 17*g) - g + 0*g + 2*g).
207*g**3
Expand -47*y + 47*y + 22*y**2 + 3*y**2 + 2*y - 2*y + (-y + y + y)*(14*y - 298 + 298) - 2*y - 2*y**2 + 2*y.
37*y**2
Expand (-1 + 4 - 1)*(-3*d**2 + 0*d**2 + 2*d**2) + 1 - 4683*d + 2470*d**2 + 9381*d - 4700*d.
2468*d**2 - 2*d + 1
Expand (0 + 2 + 0)*(5*l - 4*l - 3*l + (-2 - 3 + 1)*(-37*l + 113*l + 78*l)).
-1236*l
Expand ((-3 + 0 + 2)*(-1 + 2*u + 1) - u + u - u + (4*u - 5*u - u)*(-4 + 5 + 1) - 3*u - 5*u + 2*u + 2*u - 2*u - u)*(4*u - 87 + 169 - 87).
-56*u**2 + 70*u
Expand 5*r**3 + 2*r**3 - 2*r**3 + (-7*r**3 + 12*r**3 - 6*r**3)*(-16 - 5 + 5).
21*r**3
Expand 5*r**3 - 5*r**3 + 5*r**5 + (-r**5 - 2*r**5 + 4*r**5)*(-2 + 7 - 1).
9*r**5
Expand (-111 + 4*a + 111)*(-a - a + 0*a)*(52 + 55 - 109 + 27*a).
-216*a**3 + 16*a**2
Expand 5*d**4 - 46*d**5 + 26*d**4 - 112*d**4 + (d**3 - 6*d**3 + 3*d**3)*(0*d**2 - 4*d**2 + 2*d**2).
-42*d**5 - 81*d**4
Expand (157 + 47*j - 135 - 5*j**2 - 44*j)*(1 + 0 - 2 - 2*j).
10*j**3 - j**2 - 47*j - 22
Expand (10615*i - 2*i**2 + 0 - 1 - 10595*i)*(0 - 7 + 0).
14*i**2 - 140*i + 7
Expand (-410 + 410 + 24*a)*((-5*a + 2*a + 5*a)*(-1 + 1 - 2) + 0*a + 0*a + 2*a).
-48*a**2
Expand (-a + 0*a + 0*a + (0*a - a + 0*a)*(-2 + 2 + 2) + 2*a - 2*a + a + a - a + a + 3*a - 2*a - 2*a + 3*a - a - 3*a + 128*a - 89 + 89)*(-6 + 5*a + 6).
625*a**2
Expand (3*a - 10*a + 0*a)*(a**2 + 2*a**2 - 2*a**2) - a**3 - 3*a**3 + 3*a**3 - 155*a**3 + 77*a**3 - 97*a**3.
-183*a**3
Expand 16 - 16 - 9*m**2 + 2*m - 2*m - m**2 + (-1 + 1 - 1)*(-m + m**2 + m) - 4*m + 4*m - m**2 - 7*m**2 + 2 + 11*m + 13*m**2 - 11*m**2.
-17*m**2 + 11*m + 2
Expand (-159 - 112 + 113)*(-7 + g + 2*g**2 - 3*g**2 + 3) - g**2 + 2*g**2 - 2*g**2 + (2*g**2 - g + g)*(-3 + 2 + 0).
155*g**2 - 158*g + 632
Expand ((-3*o**2 + 2*o**2 + 0*o**2)*(-1978 + 1978 + 35*o) + o**3 - 3*o + 3*o)*(o + 7*o - 18 + 17).
-272*o**4 + 34*o**3
Expand (9*p + 36 - 36)*(1 - 1 - 2)*(-13 + 13 + 23*p).
-414*p**2
Expand 5*b - 10*b - 4 + 7*b + (2*b + b + 0*b)*(1452 - 944 - 807).
-895*b - 4
Expand (-34*i**3 + 108*i**2 - 108*i**2 + (-5*i + 3*i**2 + 5*i)*(-1 - 3 + 3)*(58*i - 38*i - 45*i))*(1 + 0 - 3)*(2 - 1 + 0).
-82*i**3
Expand (-2*s**3 + 0*s**3 + 0*s**3)*(3 - 5 + 1) - 1134 + 1134 + 6238*s**3.
6240*s**3
Expand (4 - 1 - 2)*(-w + 0 + 0) - 15*w + 10*w + 9*w + 2*w - 3*w + 2*w + (-2*w + 3 - 3)*(-1 + 2 + 1) + 0*w + w + 3*w + (3 - 2 - 2)*(-1 + 1 - w) - 6*w - 16 + 16.
-w
Expand -8*w**3 - 15*w**3 + 15*w**3 + (-w + 2*w + 5*w)*(-5*w - 5*w**2 + 5*w) + 8*w**3 + 105*w - 105*w.
-30*w**3
Expand (11 - 11 + 23*l)*(2 - 5 + 0) + 2*l - 4*l - l.
-72*l
Expand -v**4 - v**4 + 0*v**4 + (-4*v - 23 + 23)*(-6*v**3 + v**3 - 6*v**3) + (3*v - v**2 - 3*v)*(-v**2 + 3*v**2 + 0*v**2).
40*v**4
Expand (3*f - 5*f + 0*f)*(-6*f + 0*f + 4*f) + (-2906 + 58*f + 2906)*(2*f - f - 2*f)*(23 + 2 - 6).
-1098*f**2
Expand (1 - 1 + 2)*(-4 + 4 + 2*w) + (0 + 0 + 2)*(-54183*w + 26126*w + 35745*w).
15380*w
Expand 3*w**2 - 2*w**2 - 2*w**2 + 9 + 13*w**2 - 9 + 49*w**2 - 5*w**2 - 5*w**2 + (-2*w + 1 - 1)*(w - w + 2*w).
47*w**2
Expand ((0 - 4 + 2)*(0*r + 2*r - 3*r) - 822*r - 309 + 582 - 272)*(5 + 1 - 5).
-820*r + 1
Expand 9981177*p**2 - 9981177*p**2 + 1175*p**5 + (-3*p - 4*p + 5*p)*(2*p**4 - 2*p**2 + 2*p**2) + 3*p**5 - p**5 - p**5.
1172*p**5
Expand (0*o - | {
"pile_set_name": "DM Mathematics"
} |
when j is divided by d?
4
Let n = 87 + 13. What is the remainder when n is divided by 51?
49
Suppose -o + 50 = 4*o. Suppose -o = -2*m + 2. What is the remainder when 10 is divided by m?
4
Suppose -3*w + 5*w = -48. Let x be -3 + 4/(12/9). Let n = x - w. What is the remainder when n is divided by 9?
6
Let l be 2*(-6)/(-4) - -124. Let n = 182 - l. Let a = -24 + n. Calculate the remainder when a is divided by 8.
7
Let n(r) be the first derivative of -r**2 - 3 - 2*r**2 - 1 + 4*r + 4*r**2. Calculate the remainder when 39 is divided by n(5).
11
Suppose -2*g + 5*f = -7*g + 60, 2*g = 3*f + 9. Let v = -137 - -97. Let b = -6 - v. What is the remainder when b is divided by g?
7
Suppose -56 = -60*b + 58*b. Let l(a) = a**3 - 4*a. What is the remainder when b is divided by l(3)?
13
Let b(v) = v - 1. Let n be b(6). Suppose c + c + 5*p - 125 = 0, -5*c + 290 = n*p. Let x = 63 + -44. Calculate the remainder when c is divided by x.
17
Let l = 55 + -37. Calculate the remainder when 70 is divided by l.
16
Suppose 2*g + 5*v - 272 = 122, 4*g - 824 = -v. Calculate the remainder when g is divided by 42.
39
Suppose 3*d + d = 20. Suppose -d*m + 265 = t, 0 = -6*m + m + 3*t + 245. What is the remainder when m is divided by 18?
16
Let u(l) = 7*l - 5*l**2 - 6 + l**3 - 1 + 1. Let b be u(4). Suppose 0 = 2*o - 14 - b. What is the remainder when 28 is divided by o?
8
Let s = -59 + 83. Suppose -5*p + 8*p - s = 0. Calculate the remainder when (-7)/((4 - 2)/(-4)) is divided by p.
6
Suppose -2*q + 69 - 21 = -4*h, -2*q + 3 = 5*h. Suppose -5*o + 3*o = -q. Let p(v) = v**3 + v**2 + v - 1. What is the remainder when p(2) is divided by o?
6
Let s = 6 - 4. Suppose 0 = s*w - 35 - 53. What is the remainder when w is divided by 12?
8
Let n(b) = b + 6. What is the remainder when 52 is divided by n(12)?
16
Suppose -p = 2*p - 12. Suppose 6 = -3*x + p*x. Let a = 2 - 0. What is the remainder when x is divided by a?
0
Suppose -501 = -5*r - 4*w, r - 43 - 74 = -5*w. Calculate the remainder when r is divided by 25.
22
Let v = 7 - 4. What is the remainder when 62/3 - (-1)/v is divided by 6?
3
Let a(y) = -9*y - 1. Let k be a(-1). Let m = -1 + k. Calculate the remainder when m is divided by 2.
1
Let s(t) = 2*t + 2. Calculate the remainder when s(12) is divided by 14.
12
Let s be -2*((-27)/6 - -2). Suppose 5*z = -o + 7 - 17, -4*z = s*o - 13. Calculate the remainder when 17 is divided by o.
2
Let f(q) = -q + 5. What is the remainder when f(-6) is divided by 7?
4
Suppose 14 = 9*s - 31. Let f(b) = 3 - 3*b**2 - 2 + 2*b + 1 + b**3. What is the remainder when s is divided by f(2)?
1
Calculate the remainder when 6 is divided by 1/2 + (-12)/(-8).
0
Suppose -9*w + 90 = 6*w. Calculate the remainder when 22 is divided by w.
4
Let s(g) = 2*g**2 - 5*g - 1. Let x = 14 - 9. Suppose -5*h + 90 = -0*p + 2*p, -3*p + 85 = x*h. What is the remainder when h is divided by s(4)?
9
Suppose 183 = 5*k + 2*v, -2*v - 51 - 46 = -3*k. Calculate the remainder when 102 is divided by k.
32
Suppose -14 - 96 = -5*h. What is the remainder when h is divided by 12?
10
Let q = -7 - -12. Let r(i) = -i**3 + 6*i**2 + 2*i + 6. Calculate the remainder when r(q) is divided by 14.
13
Suppose -2*b + 2*k - 6 + 2 = 0, -k + 6 = 3*b. Let h be b/(-2)*6 - 6. Calculate the remainder when 20 is divided by ((-6)/h + 3)*3.
9
Let b(f) = -61*f - f**3 + 7*f**2 + 61*f. Calculate the remainder when b(4) is divided by 17.
14
Suppose -3*j + 13 - 1 = -5*z, 0 = 2*z - 5*j + 20. Suppose -4*f + 80 + 8 = z. What is the remainder when 41 is divided by f?
19
Suppose 0 = 5*t - 4*f - 353, 5*t - 354 = -f + 14. Calculate the remainder when t is divided by (-1 - 4/(-6))/((-14)/798).
16
Let j be (14/7)/((-2)/31). Let i = j + 47. What is the remainder when 61 is divided by i?
13
Let j = 36 + -22. Calculate the remainder when j is divided by -1*2/(4/(-10)).
4
Calculate the remainder when 3/(-1*4/(-104)) is divided by 20.
18
What is the remainder when (-2 + 68/8)*6 is divided by 8?
7
Suppose j + 5*z = -18, 4*z + 0*z = -j - 14. Suppose 5*y + j - 22 = 0. Suppose 0 = y*m + 2 - 54. What is the remainder when 37 is divided by m?
11
Let c(u) = u**3 + 6*u**2 - 3*u - 5. Let r = 49 - 25. Calculate the remainder when r is divided by c(-6).
11
Let i(q) = -3*q**3 - 4*q - 5. What is the remainder when 80 is divided by i(-2)?
26
Let d(m) = m**2 + 8*m - 34. What is the remainder when 27 is divided by d(-12)?
13
Let z(f) = -f**3 + 6*f**2 + 5*f - 4. Let n be z(6). Suppose -5*r - 9 - n = 0. Calculate the remainder when ((r - -2) + 3)*-17 is divided by 9.
7
Let m = 15 + 155. Suppose 3*w = -2*w + m. Let u = 58 - w. Calculate the remainder when u is divided by 13.
11
Let a = 9 - 7. Suppose 2*t - 2*p - 44 = 0, -p + a*p - 113 = -4*t. Calculate the remainder when t is divided by 7.
6
Let y = 44 - 26. What is the remainder when y is divided by 5?
3
Let a be ((-9)/(-4))/(3/(-24)). Let v = 34 + a. Suppose 5*q - 3 = 3*y + 36, -4*q = -5*y - 26. What is the remainder when v is divided by q?
7
Suppose 0 = 3*k - 5 - 1. Suppose k*w + 2*j - j = 23, 5*w - j = 47. Let c = -8 + 47. What is the remainder when c is divided by w?
9
Calculate the remainder when (20/(-2))/(1/(-4)) is divided by 14.
12
Suppose -y = -2*c - 31, 0*y + 4*y + 3*c - 157 = 0. Suppose -2*l - 4*t = l - 59, 4*l = 2*t + 42. Calculate the remainder when y is divided by l.
11
Let d(m) = 4*m**2 + 5*m + 16. Calculate the remainder when 146 is divided by d(-3).
35
What is the remainder when 87 is divided by 1 - -14*12/8?
21
Suppose 8 = -2*v + 26. Let s = 52 - 82. Let j = s - -47. What is the remainder when j is divided by v?
8
Let h = -2 - -6. Let m = 10 - 16. Calculate the remainder when h is divided by (0 - -1) + (-6)/m.
0
Let q(s) = s**2 - s - 1. Suppose -7*p + 5*p + 14 = 0. Calculate the remainder when q(-4) is divided by p.
5
Let t = 1 + 0. Let r = t - -5. Calculate the remainder when r is divided by 2.
0
Suppose 0 = u - 20 - 25. What is the remainder when u is divided by 6?
3
Let o = 5 - 1. Let r be (o/(-4))/((-2)/8). What is the remainder when (r/(-8))/((-2)/4) is divided by 1?
0
Suppose -66 = -6*k + 216. Calculate the remainder when k is divided by 12.
11
Let k(h) = h**3 + 2*h**2 - 2*h - 6. What is the remainder when 55 is divided by k(3)?
22
Let c(x) = x**3 + 8*x**2 + 12*x + 22. Calculate the remainder when 174 is divided by c(-6).
20
Let p = 32 + 21. What is the remainder when p is divided by 28?
25
Suppose -310 = -5*k + 3*d, -4*k = -3*d - d - 248. What is the remainder when k is divided by 21?
20
Let d be (4 + -1)/((-9)/24). Calculate the remainder when 15 is divided by ((-4)/(-2)*d)/(-2).
7
Suppose -k - 3*k = 0. Let m be (k + 1)*(-87)/(-3). Suppose -q + 17 = -5*f, 7*f + m = 2*q + 2*f. Calculate the remainder when 34 is divided by q.
10
Let n be 6/9 - 4/(-3). Suppose -n*q + 8 = 0, 2*l - 79 = -3*l - q. What is the remainder when 43 is divided by l?
13
Let t(s) = -5*s + 5. Let w = 0 - 0. Suppose -5*f = -b - 26, 4*b + w*b + 2*f = -16. Calculate the remainder when t(b) is divided by 18.
17
Suppose 80 = -2*j + 4*j. What is the remainder when j is divided by ((-21)/4)/((-3)/8)?
12
Suppose 3*x - 4*x = -11. Let b be 2/(-4) + (-1)/(-2). Suppose b = -4*g + 2*g + 40. Calculate the remainder when g is divided by x.
9
Let d be (-1)/(-1)*7*-2. Let x = 22 + d. Calculate the remainder when 4/(-16) + 202/x is divided by 13.
12
Let d be 91/2 + 4/(-8). Let u = d + -32. Calculate the remainder when 36 is divided by u.
10
Let v(r) = r**2 + r - 8. Let y = 13 + -3. What is the remainder when y is divided by v(-4)?
2
Let b(d) = -2*d + 26. What is the remainder when 98 is divided by b(0)?
20
Suppose 4*u = -i + 15, -3*i + u - 12 = -70. What is the remainder when 92 is divided by i?
16
Suppose x + 0*r + 2*r = 6, -5*r - 39 = -2*x. What is the remainder when 58 is divided by x?
10
Suppose -p + o - 5*o + 6 = 0, -3*o - 43 = -4*p. Calculate the remainder when 28 is divided by p.
8
Let j(t) = -t**2 + 3*t + 4. Let n be j(3). Let w(z) = z**2 - 2*z**2 + 7*z - 9 - n*z + 2*z**2. What is the remainder when w(-7) is divided by 10?
9
Let d(r) = -r + 12. What is the remainder when 25 is divided by d(3)?
7
Let d(i) be the third derivative of 23*i**5/60 - i**2. What is the remainder when d(1) is divided by 12?
11
Suppose 4*l = -9 + 25. Suppose l*q - 3*q - 39 = 0. Suppose -2*z + 9 = -5*v | {
"pile_set_name": "DM Mathematics"
} |
out replacement from {t: 5, h: 14}. Give prob of picking 1 t and 1 h.
70/171
Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {x: 6, i: 3, y: 5, q: 2, k: 2}.
10/153
Three letters picked without replacement from {h: 1, u: 4, x: 2}. What is prob of picking 2 x and 1 h?
1/35
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from gsegygygssghskgsh.
5/136
Calculate prob of picking 1 u, 1 b, and 2 z when four letters picked without replacement from bmeizziizibzube.
6/455
Three letters picked without replacement from {o: 2, v: 3}. What is prob of picking 2 v and 1 o?
3/5
Three letters picked without replacement from hyyh. What is prob of picking 1 y and 2 h?
1/2
Four letters picked without replacement from {f: 3, i: 1, m: 3}. What is prob of picking 1 i and 3 f?
1/35
Three letters picked without replacement from dxdxh. What is prob of picking 2 d and 1 x?
1/5
What is prob of picking 1 n and 2 r when three letters picked without replacement from nrrnxlnnrnnpnlnnnln?
11/323
Calculate prob of picking 1 f and 1 q when two letters picked without replacement from qmqkmqqwmfqk.
5/66
Four letters picked without replacement from {k: 1, c: 3, p: 2, d: 4, q: 7}. Give prob of picking 1 k, 1 q, and 2 p.
1/340
Calculate prob of picking 4 z when four letters picked without replacement from {z: 10, h: 4}.
30/143
Two letters picked without replacement from {t: 16, j: 1, u: 1}. What is prob of picking 1 t and 1 u?
16/153
What is prob of picking 3 b and 1 v when four letters picked without replacement from khkvvkkvthkbtktvb?
0
What is prob of picking 2 f and 1 p when three letters picked without replacement from {i: 1, f: 2, j: 1, k: 2, n: 2, p: 1}?
1/84
What is prob of picking 1 m and 2 z when three letters picked without replacement from {q: 2, z: 2, m: 1, l: 1, p: 2}?
1/56
Three letters picked without replacement from {e: 12, r: 6}. What is prob of picking 2 e and 1 r?
33/68
Two letters picked without replacement from rrwvuwuwwww. What is prob of picking 1 r and 1 v?
2/55
Calculate prob of picking 1 x and 2 l when three letters picked without replacement from {l: 11, x: 5}.
55/112
What is prob of picking 1 o, 1 x, and 1 d when three letters picked without replacement from vxdxjxodxdjdoxxdox?
35/272
Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {v: 1, d: 1, n: 1, e: 1, g: 1}.
1/10
Three letters picked without replacement from {j: 2, g: 1, d: 5, b: 1}. Give prob of picking 2 j and 1 d.
5/84
Four letters picked without replacement from {z: 2, x: 2, j: 1, g: 1}. What is prob of picking 2 z, 1 x, and 1 g?
2/15
Three letters picked without replacement from {c: 1, g: 9, z: 1}. What is prob of picking 3 g?
28/55
What is prob of picking 1 j, 1 v, 1 a, and 1 b when four letters picked without replacement from {j: 2, b: 2, d: 1, a: 1, v: 1}?
4/35
What is prob of picking 1 r and 1 j when two letters picked without replacement from {i: 1, p: 1, r: 1, s: 1, j: 1}?
1/10
Calculate prob of picking 1 j, 1 t, and 1 p when three letters picked without replacement from {f: 1, q: 4, p: 2, t: 2, j: 3}.
3/55
Calculate prob of picking 2 x when two letters picked without replacement from ddxxx.
3/10
What is prob of picking 3 p when three letters picked without replacement from {b: 11, p: 5}?
1/56
Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {o: 6, g: 2}.
15/28
What is prob of picking 1 i and 1 w when two letters picked without replacement from micwycg?
1/21
Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {y: 1, z: 1, w: 1}.
1/3
Three letters picked without replacement from {a: 1, f: 3, k: 2, n: 1, y: 1, z: 4}. Give prob of picking 2 k and 1 y.
1/220
Three letters picked without replacement from pddddppd. Give prob of picking 3 d.
5/28
Calculate prob of picking 3 t and 1 p when four letters picked without replacement from {c: 2, p: 4, t: 4, x: 1, q: 3}.
16/1001
Three letters picked without replacement from {e: 4, v: 14}. What is prob of picking 3 v?
91/204
Four letters picked without replacement from bblblcbebgeeebgl. Give prob of picking 1 c, 1 e, and 2 g.
1/455
Four letters picked without replacement from {j: 2, u: 6, f: 5, k: 2, h: 3}. What is prob of picking 3 f and 1 k?
1/153
Three letters picked without replacement from qchhchqhqchhch. Give prob of picking 1 q and 2 h.
9/52
Four letters picked without replacement from {n: 5, y: 8}. Give prob of picking 1 y and 3 n.
16/143
Three letters picked without replacement from {d: 4, a: 1, h: 2, t: 6, i: 3}. Give prob of picking 2 h and 1 d.
1/140
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from crhrccrrcrc.
5/11
Four letters picked without replacement from ccccc. What is prob of picking 4 c?
1
Two letters picked without replacement from knknlblnhbpp. Give prob of picking 2 b.
1/66
Four letters picked without replacement from flfdfllfdf. Give prob of picking 3 l and 1 f.
1/42
Calculate prob of picking 2 m when two letters picked without replacement from cmcmccmmmmm.
21/55
What is prob of picking 2 s when two letters picked without replacement from {a: 2, s: 7, y: 9}?
7/51
Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ccxxccccxcx.
14/165
Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, g: 2}.
1/10
What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 2, l: 1, y: 1}?
1/3
Four letters picked without replacement from {b: 2, f: 3, n: 2, r: 1, u: 12}. Give prob of picking 1 b, 1 u, and 2 f.
24/1615
Calculate prob of picking 1 l, 1 u, 1 t, and 1 y when four letters picked without replacement from {y: 2, u: 2, l: 1, k: 1, e: 1, t: 1}.
2/35
Three letters picked without replacement from htthwth. Give prob of picking 1 h and 2 t.
9/35
Four letters picked without replacement from tttpptvppttv. Give prob of picking 2 v, 1 t, and 1 p.
8/165
Calculate prob of picking 2 p and 2 j when four letters picked without replacement from {p: 1, j: 1, v: 2}.
0
Three letters picked without replacement from {d: 7, b: 1, p: 5, w: 1}. What is prob of picking 1 b and 2 d?
3/52
Four letters picked without replacement from {w: 2, j: 7, i: 5}. What is prob of picking 1 w and 3 i?
20/1001
What is prob of picking 4 t when four letters picked without replacement from tttrtcttcttrttttntmr?
143/969
What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, j: 4, w: 2}?
2/21
Four letters picked without replacement from {v: 9, h: 4, s: 4}. Give prob of picking 1 h, 1 v, and 2 s.
54/595
Three letters picked without replacement from {l: 3, s: 9}. Give prob of picking 3 s.
21/55
Three letters picked without replacement from hhhphpl. What is prob of picking 1 h and 2 p?
4/35
Two letters picked without replacement from {e: 3, p: 8, s: 4, l: 2}. What is prob of picking 2 e?
3/136
Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sssssssshssssssshss.
16/57
Calculate prob of picking 2 n when two letters picked without replacement from nunnnnnu.
15/28
Two letters picked without replacement from {l: 3, g: 7, x: 2}. Give prob of picking 2 g.
7/22
What is prob of picking 1 t, 1 j, and 1 q when three letters picked without replacement from qjvtjke?
2/35
What is prob of picking 1 d and 3 q when four letters picked without replacement from dqddiiiqddddqi?
1/143
Three letters picked without replacement from {r: 7, z: 4}. What is prob of picking 1 r and 2 z?
14/55
What is prob of picking 1 b, 1 i, and 1 h when three letters picked without replacement from zbbbiqbihmbbbb?
4/91
Four letters picked without replacement from lzwwlwwlkkwzzkklwz. Give prob of picking 3 k and 1 l.
4/765
Two letters picked without replacement from lbondll. What is prob of picking 1 n and 1 l?
1/7
Two letters picked without replacement from {c: 4, e: 9, g: 3}. Give prob of picking 1 c and 1 g.
1/10
Calculate prob of picking 3 f when three letters picked without replacement from {f: 17, y: 1}.
5/6
Calculate prob of picking 2 d when two letters picked without replacement from {d: 15, p: 5}.
21/38
Calculate prob of | {
"pile_set_name": "DM Mathematics"
} |
-0.05?
-31
What is the fourth smallest value in -1/107, 0.13, -0.4, -5, -37, 0.5?
-1/107
What is the fifth biggest value in 1, 4, -104, 12, 0, 2?
0
What is the smallest value in 4/5, -7, -2/2699?
-7
What is the biggest value in 17.3, 2/753, -4/7?
17.3
What is the smallest value in -5, -101/5, 1, -32?
-32
Which is the fourth smallest value? (a) -5 (b) 0.2 (c) 1 (d) -0.167 (e) 3 (f) -0.88
b
What is the third smallest value in 0, 0.084, -0.16, 10, 4/3?
0.084
What is the biggest value in 2.4, 1/2, -0.1, 0, -54?
2.4
What is the third biggest value in 3/2, 0, 317, -3?
0
What is the smallest value in 2, 3/8, 1/16718?
1/16718
What is the second biggest value in 3, -23754, -6?
-6
What is the biggest value in -1.116, 3/244, 0.2, -2/3?
0.2
Which is the biggest value? (a) 0.2 (b) 0.08 (c) -4/3 (d) -12/13 (e) -6
a
What is the fourth biggest value in 2, 12, 149, -0.4, 1/15?
1/15
What is the third biggest value in 1.8, -2, -0.5, -0.2?
-0.5
What is the second biggest value in 3, 31, 10, -4?
10
Which is the second smallest value? (a) -2/11 (b) -2/67443 (c) -2
a
What is the smallest value in -1/7, 93, 2, -0.4, -40/9, -4?
-40/9
What is the third smallest value in 32861, 2/19, -5, 3/2, 2/21?
2/19
Which is the fifth biggest value? (a) -3/5 (b) -4/7 (c) 0 (d) 2/9 (e) 102 (f) -4
a
Which is the second biggest value? (a) -10 (b) -40214 (c) 2
a
What is the third smallest value in 1107, -4, 0.5?
1107
What is the smallest value in 0.3, 6/383, -6?
-6
What is the fifth biggest value in 6625, 1.5, -0.5, -4, -2?
-4
Which is the smallest value? (a) -0.6 (b) 5 (c) 7/29 (d) 4
a
Which is the second biggest value? (a) -10/9 (b) -67 (c) 19 (d) -21
a
Which is the biggest value? (a) 1/14 (b) 2 (c) 43
c
Which is the sixth biggest value? (a) 33 (b) -2 (c) 2/15 (d) 4/5 (e) -1/6 (f) -0.8
b
What is the fifth smallest value in -0.2, 5, -5/8, -3, 0.2, 137?
5
Which is the smallest value? (a) 25 (b) 257 (c) -0.3
c
What is the smallest value in 2/29, 1, -3, -4/7, 3.207, 0?
-3
Which is the smallest value? (a) -1 (b) 1 (c) -23/5 (d) -1175
d
What is the third biggest value in 1/6, 0.25, 1, -1?
1/6
Which is the third smallest value? (a) 73 (b) 3 (c) 105.3 (d) -0.1
a
Which is the third smallest value? (a) 0.0001 (b) 1 (c) -1281
b
Which is the fifth biggest value? (a) -0.2 (b) -2/5 (c) -9 (d) 147 (e) 1
c
What is the smallest value in -66, -136, -0.4, 2/9?
-136
What is the third biggest value in 2, 3, -4/9, 0.376?
0.376
Which is the sixth biggest value? (a) -3/1394 (b) -7 (c) -1/3 (d) -1/2 (e) 5 (f) -1
b
Which is the third smallest value? (a) -11/4 (b) 0.5 (c) 7 (d) -0.1 (e) 1
b
What is the fourth smallest value in -7, 98, 0.2, 59, -3/4?
59
Which is the third biggest value? (a) 625 (b) 0 (c) 1 (d) 8/3 (e) -0.4
c
Which is the fifth smallest value? (a) -2/9 (b) 1/17 (c) -2 (d) 1/3 (e) 4 (f) 10
e
What is the third biggest value in 0.5, -10, -2, 197?
-2
What is the fifth biggest value in 0.7, 0.03, -17, 2/9, -0.12, -4?
-4
What is the biggest value in 24, 4, 1143, 2/7, 1, -2/15?
1143
What is the fifth biggest value in -9/7, 288, 0.1, 5, 1?
-9/7
Which is the smallest value? (a) -1/4 (b) -0.9 (c) 0 (d) -4.2 (e) 225
d
Which is the third biggest value? (a) -5/4 (b) 87 (c) -1
a
What is the third smallest value in -3/5, -1/10, 3/34, -5/3?
-1/10
Which is the smallest value? (a) 0.2 (b) 74 (c) -0.0119
c
What is the fourth biggest value in 6/11, -14/3, -10, -2/21, -5, -8?
-5
What is the second smallest value in 0.3, -1/103, -0.2, 29.7?
-1/103
What is the fourth biggest value in -0.039, 0.7, 0.06, 0, 0.2?
0
Which is the fourth smallest value? (a) 1/2 (b) 5 (c) -5 (d) 4 (e) -0.007 (f) -0.8
a
Which is the third smallest value? (a) -16/5 (b) 57 (c) -1/9 (d) -0.4
c
Which is the fourth smallest value? (a) 2/3 (b) 1.4 (c) 3/7 (d) -1/36 (e) 26
b
What is the third biggest value in -1/5, -0.05, -5, 6, 0?
-0.05
What is the second smallest value in -0.11, -0.29, -0.2, -1, -3?
-1
What is the second smallest value in 1964, -3, -0.2?
-0.2
Which is the fourth smallest value? (a) 8 (b) -0.08 (c) 3 (d) -5/33 (e) 0.5 (f) 0
e
Which is the fourth biggest value? (a) 0 (b) 0.3 (c) -2/25 (d) -8 (e) -5
e
What is the sixth biggest value in 2/3, 0.1, -7.3, 0.4, 1/7, -0.3?
-7.3
What is the fifth biggest value in -3, -4/7, 16, 19, 127?
-3
Which is the fifth smallest value? (a) -1/30 (b) -1 (c) -2 (d) -0.3 (e) 13/3
e
Which is the third smallest value? (a) 2.87916 (b) -5 (c) 0 (d) 3
a
What is the second biggest value in -2/3, -3, -12/7, 118?
-2/3
Which is the third smallest value? (a) 3 (b) -0.04 (c) -4/7 (d) 1893
a
Which is the fourth biggest value? (a) 6/5 (b) -7 (c) -5/2 (d) -26 (e) 1/8 (f) -4/5
c
Which is the biggest value? (a) 2/7 (b) -0.22 (c) -0.24148
a
Which is the third biggest value? (a) 1/4 (b) -0.1 (c) 3 (d) -5 (e) -2 (f) 66
a
What is the third biggest value in 3, 6/209, 0.4, -5, 2/15?
2/15
What is the third smallest value in 2/3, -18/71, -0.1?
2/3
What is the biggest value in -0.13, 0.02, 2/11, -63, -0.2?
2/11
What is the second smallest value in -1/4, 0.4, -1190/11?
-1/4
What is the second biggest value in 1.1, 90, -120?
1.1
Which is the second biggest value? (a) 6 (b) -0.25 (c) -27 (d) 1/6 (e) -4
d
Which is the biggest value? (a) -4 (b) -3/8 (c) 6/7 (d) -37
c
Which is the smallest value? (a) -4 (b) 120 (c) 20/21
a
What is the biggest value in -0.1, 4/7, 0.03, -0.4, -4?
4/7
Which is the third biggest value? (a) -5 (b) -17 (c) 787
b
Which is the fourth biggest value? (a) -1/9 (b) -8 (c) 3 (d) 0.404
b
Which is the biggest value? (a) 3/2 (b) -2/9 (c) -490 (d) -37 (e) 3
e
Which is the smallest value? (a) 11 (b) -2/17 (c) -0.5 (d) 1/261
c
Which is the second biggest value? (a) 2717 (b) -3.5 (c) 0.3
c
Which is the smallest value? (a) -1 (b) 6670 (c) -2 (d) -138
d
What is the fourth smallest value in 1/4, 3.3, 2/5, -118, 3?
3
Which is the second smallest value? (a) -1/98 (b) -1 (c) 3 (d) 1.74
a
Which is the fourth smallest value? (a) -2 (b) 2 (c) -1869 (d) -0.3 (e) 7
b
Which is the fifth smallest value? (a) -0.3 (b) 1/4 (c) -0.6528 (d) 0.1 (e) -2/5
b
Which is the third smallest value? (a) 11.3 (b) -4 (c) 3/8 (d) -2/13
c
Which is the third biggest value? (a) 3 (b) -2 (c) 0.5 (d) -4/49 (e) -0.039 (f) 0.1
f
Which is the third smallest value? (a) 10/3 (b) -5 (c) 3 (d) 1/4 (e) 1 (f) -0.1
d
What is the second smallest value in 3, -0.131, -4/7, -0.4, -3, 15?
-4/7
What is the fourth smallest value in 3/5, -16, -8, -6?
3/5
What is the third biggest value in 1/5, -1.52, -2/5, 1.41?
-2/5
What is the biggest value in 21872, 32, -1/4, 4?
21872
What is the fifth biggest value in -5, 1498, 9, 1/2, -0.3?
-5
What is the third biggest value in 1/5, 1.8, -19.9?
-19.9
Which is the second biggest value? (a) 1/5 (b) -18195/7 (c) 1
a
Which is the fourth smallest value? (a) 1/3 (b) 0 (c) -4 (d) -6 (e) 1051 (f) -0.01
b
Which is the fifth biggest value? (a) -4 (b) 3/4 (c) 1 (d) -471 (e) 32.7
d
Which is the biggest value? (a) -1069 (b) 4 (c) 28 (d) 2/13
c
What is the second biggest value in -0.02, -1, -4/5, 3, -4/13?
-0.02
Which is the third biggest value? (a) -99 (b) 104/207 (c) -1/3
a
Which is the smallest value? (a) 125/29 (b) 0.3 (c) -7
c
What is the biggest value in -2/9, -5815, -0.1?
-0.1
What is the second smallest value in -4, 3/5, 0.4, -2094?
-4
What is the third smallest value in 0.07, -5, -0.3, 7/22?
0.07
What is the second smallest value in -0.2, 203/3, 2/17, -4/29, -1, 0?
-0.2
Which is the third biggest value? (a) -1/5 (b) 1 (c) 2/5 (d) -6 (e) 2/9
e
What is the second smallest value in -76, 2/13, -0.1, 2/11, -0.3?
-0.3
What is the fourth biggest value in 10.333, 2, 4, 1/4?
1/4
Which is the second biggest value? (a) -2 (b) -1.4 (c) -0.05 (d) -2/3
d
Which is the third biggest value? (a) -7/3 (b) 0.1 (c) -9 (d) -1 (e) 2/49 (f) 4/5
e
What is the smallest value in 1, -5, 326, 2/7?
-5
Which is the smallest value? (a) -2/63 (b) 0.2 (c) 11 (d) -3
d
Which is the second smallest value? (a) -2 (b) 24 (c) 0.4 (d) -0.3 (e) -8/5 (f) 4/3
e
Which is the fourth smallest value? (a) -2/11 (b) 1/5 (c) -0.2 | {
"pile_set_name": "DM Mathematics"
} |
)?
5
What is the value of 12/(-63)*-3*(-7)/(-6)?
2/3
77/(-28)*-2 + -7
-3/2
Calculate (81/45)/9 + 0/(-3).
1/5
Evaluate 4*(102/(-24) - -4).
-1
(2 - (-36)/(-14)) + (-30)/21
-2
Calculate (-38)/285*(-18)/8.
3/10
What is 1/5*13 + 6/15?
3
Evaluate (-286)/99 + (-3)/(-1).
1/9
18/36*(-16)/(-2)
4
Calculate (2/36)/((-4)/6 - -1).
1/6
Calculate (-156)/30 - (-5 - 0).
-1/5
What is ((-9)/24)/((76/32)/19)?
-3
(-48)/(-45)*(-15)/(-12)
4/3
(3 + -5)*(180/(-8))/9
5
Calculate 34/9 + -2 + -2.
-2/9
What is 16/(-12)*3 - (-48)/18?
-4/3
Evaluate (-16)/(-5) + 3/(-15)*1.
3
Evaluate 0 + (-24)/6 - 63/(-15).
1/5
What is (-27)/12 + (3 - 1)?
-1/4
What is 6/15*(-3)/(24/(-10))?
1/2
Evaluate ((-24)/36)/((-2)/(-3)).
-1
What is (-10 - 3)/26*8?
-4
What is -1 - 4 - (-71)/(26554/1848)?
-1/17
What is the value of 10/(-3)*24/20?
-4
Calculate (-3)/30 - 15/(-30).
2/5
Calculate ((-10)/(-6))/((110/15)/(-22)).
-5
What is ((1058/115)/23)/(2/(-40))?
-8
What is the value of (-3*8/(-42))/(1606/511)?
2/11
What is (7/(-189))/(3/(-9))?
1/9
Calculate (3/30)/((-15)/60).
-2/5
What is (1/(-4))/((-213)/284)?
1/3
Evaluate 4 - (0 - 2 - -1).
5
((-6)/(-28))/(21/56)
4/7
What is the value of 35 + -35 + (-2 - -2)/(-2)?
0
What is the value of (-49)/(-7) - (-1 + 7 + -3)?
4
Calculate (33/22)/((-3)/2).
-1
(-5)/(-6) + (-2960)/3885
1/14
6/(-2) + 4 + 1*2
3
What is 4*18/108 - 32/30?
-2/5
What is the value of (1 - 0)/(-2*12/16)?
-2/3
Calculate 275/(-125) - 18/(-15).
-1
Calculate (-7)/(-28)*0 + 5.
5
((-12)/(-3))/(-51 + 5)
-2/23
Calculate -15 + 23 + 3/(1 + -2).
5
What is the value of (-1 + 0)/((-37)/(-37))?
-1
-8 - -3 - (-2 + 1)
-4
What is (-3 + (-23)/(-6))*27/(-30)?
-3/4
Calculate ((-756)/(-208))/9 + (-6)/39.
1/4
1/(-2*4/32*4)
-1
((-38)/6 - -2) + 24/18
-3
What is 10/(-12) + 12 + -11?
1/6
(-2)/(-6*(-2 - -5)/(-45))
-5
12/(-3) - 54/(-15)
-2/5
What is the value of (-3 + (-36)/(-8))*(-3 + 1)?
-3
2*-1 - (-49)/28
-1/4
What is (-63)/98 - (-1)/7?
-1/2
What is the value of 80*6/84 - 2*3?
-2/7
20/(-100) - (-1)/5
0
Calculate (72/27)/((-16)/(-12) + -2).
-4
What is (-18)/(-64)*(2 - 50/15)?
-3/8
Evaluate (-88)/110 - (-68)/110.
-2/11
Calculate (-60)/63 - (-2)/(-3)*-1.
-2/7
What is ((-3)/(-4))/1 - (-11)/(-4)?
-2
What is the value of 1/4 - (-138)/(-720)*2?
-2/15
Calculate 30/(-44) + (-40)/22 + 2.
-1/2
What is the value of (-188)/2961 - 4/18?
-2/7
Calculate 8 + 1308/(-324)*2.
-2/27
What is the value of 440/275*4/((-8)/5)?
-4
4*24/(-64) - 19/(-14)
-1/7
What is the value of 3*51/34*(-2)/36?
-1/4
What is (-8)/16 + (-3)/(-12)?
-1/4
What is (-952)/(-153) + (-8)/36?
6
What is the value of 3114/173 - (9 - 1)?
10
7/35 + (-51)/30
-3/2
Calculate 2/(-3)*(1 + (2 - 9)).
4
What is -4 + (-1)/(-4) + (-3)/(-4)?
-3
Calculate (-2)/4*212/477.
-2/9
7 - (-3 + 9 + -2)
3
Evaluate (6/5)/(3/5).
2
What is the value of (21/(-12))/((-44)/176)?
7
What is (-20)/(-160) + (-1)/2?
-3/8
Evaluate (-23)/7 + 1 - (-62)/31.
-2/7
What is 2*1 + (-375)/225?
1/3
What is (-9 + 0)*(-17)/51?
3
Evaluate (9/(-15))/(((-378)/(-15))/(-14)).
1/3
Evaluate ((-30)/(-36))/((-45)/(-27)).
1/2
Calculate ((-3 - 1) + 4)/(-4).
0
Calculate 5/35 - (-8)/(-7).
-1
What is 6 - (-22)/(44/4)?
8
Calculate 2/(-40) - (-5)/(-25).
-1/4
Evaluate 2/(-11) - (-630)/(-770).
-1
What is 13 + -5 + (-4 - -9)*-1?
3
What is (6 + (-5 - 0) + -1)/2?
0
Evaluate 5/(-6)*(-144)/(-180).
-2/3
Calculate (-6)/(4 - 1)*-2.
4
What is the value of 93*(-3)/(-99) + -3?
-2/11
2 - (-1 - (-10)/3)
-1/3
((-95)/19)/(((-15)/(-18))/1)
-6
Calculate 1/((-2)/(-8) + (-10)/20).
-4
What is (6/4)/((-3)/(-2))?
1
What is (-225)/625*(-10)/6?
3/5
Calculate (3/((-18)/(-10)))/((-22)/(-66)).
5
What is the value of -3*4/(-3) - -1?
5
(6 + 72/(-15))*20/(-44)
-6/11
Evaluate (2 + -2)/2 + -3 + -1.
-4
What is the value of 5*5/25*(-3)/15?
-1/5
Calculate (-15)/(-9)*2/5.
2/3
What is the value of 76/48 - (-1)/(-3)?
5/4
Calculate 2*1*1/(-16).
-1/8
1104/(-966)*(-14)/(-4)
-4
6/14 + (-4)/(-7) - 1
0
((-20)/(-8))/((-35)/(-28))
2
Evaluate ((-1)/3)/((-1)/12).
4
What is the value of (7 + 0 + -1)*4/(-8)?
-3
What is (-1728)/126 - (-20 + 6)?
2/7
Calculate 2365/275 + (1 - 9).
3/5
What is ((-9)/39)/(3/(-2))?
2/13
Calculate (5 - (-497)/(-98))*(-20)/(-5).
-2/7
What is 341/(-66) + 3 + 2/12?
-2
What is (-91 - -90)/((-2)/(-10))?
-5
What is the value of 7 + -6 + 1 + (-28 - -34)?
8
What is the value of 0*(30/(-8) - -4)?
0
Calculate ((-4)/(-6))/((-7)/(-21)).
2
What is the value of 3/(0 + 12/(-16))?
-4
Evaluate (1/(-1))/((22/33)/2).
-3
Evaluate ((-92)/12 - -6)/((-15)/(-54)).
-6
((-2)/8)/(-4*(-8)/(-128))
1
Calculate 3/(-12)*(-88)/(-33).
-2/3
What is 82/(-123)*(-18)/4?
3
What is the value of -3 + (12/(-8))/(-3)?
-5/2
What is (-7 + 5)*3/(-2)?
3
8/256*8 + 0
1/4
What is 10/(-120)*(2 - -6)?
-2/3
What is (2/(-4) + 2)*(-20)/(-15)?
2
What is the value of (-6)/18 + 4/3?
1
What is the value of 24/39*(0 + (-3)/(-12))?
2/13
Calculate (8/(-16))/(2 - 22/12).
-3
What is (-1)/7*(1 + -2)?
1/7
What is -5*(-19 - -20) + -3 + 0?
-8
What is (-2090)/(-741) - (-48)/(-18)?
2/13
What is the value of (12/(-9))/((-12)/27)?
3
Calculate -1*1/((-10)/(-30)).
-3
What is (-4 - 2)/(18/4)*-3?
4
What is ((-68)/102)/(((-28)/(-9))/2)?
-3/7
What is the value of 9/2*(3 + 51/(-18))?
3/4
2/((-5)/(-15) - 64/(-6))
2/11
Calculate -3 + -7 + 9 + -4.
-5
Calculate 2*(1 - (-52)/(-48)).
-1/6
Evaluate (8/4)/((-5)/(5/9)).
-2/9
((-2)/(-4))/((-11)/22)
-1
Calculate (1 + -2)/((-7)/21).
3
(-1 - 9/(-6))*(9 + -9)
0
What is the value of ((-2)/(-4))/(0 + (-3)/(-6))?
1
What is (9 - 6) + -5 + 1/3?
-5/3
Calculate (9/60)/((-17)/(-68)).
3/5
1150/130 - 6/(-39)
9
Calculate 6 - (-40)/24*-3.
1
Calculate 8/(-30)*(-3)/(-2).
-2/5
What is 400/100 - (-3 - (-2)/(-1))?
9
Calculate 68/170 - (-18)/5.
4
84/14 - (-57)/(-6)
-7/2
What is the value of (1/(-6))/(128/(-18) - -7)?
3/2
What is ((-4)/((-64)/24))/(14/(-4))?
-3/7
What is the value of -2*(-15)/10 + 16/(-5)?
-1/5
What is the value of 1*-3*5/(-12)?
5/4
What is the value of 56/144 - 2/9?
1/6
What is 85/30 - (9/3 + 0)?
-1/6
What is 94/24 + 0 + 1/12?
4
Evaluate (((-24)/18)/(-4))/(8/12).
1/2
Calculate ((-6)/45)/((-24)/15).
1/12
What is -7 + (-130)/25 - -12?
-1/5
Evaluate 3*51/(-45) + 4.
3/5
4 + 4*4/16
5
What is 41/(-44) - 4/(-22)?
-3/4
(4 - 0) + 43 + -44
3
What is the value of (4 - 19/2) + 3?
-5/2
What is ((-136)/(-34))/(-7*2)?
-2/7
What is the value of (5 - (10 + -6))*-1?
-1
((-1)/4*2)/((-40)/80)
1
What is the value of ((1 + -2)/3)/((-124)/(-2604))?
-7
What is 7/84 - 305/60?
-5
Calculate 260/35 - (2 - -5).
3/7
Calculate ((-8)/20)/(9/(-90)).
4
What is ((-4)/7)/2*(-7)/15?
2/15
(-2*(-9)/60)/((-18)/(-5))
1/12
What is ((-5)/10)/(21/42)?
-1
Calculate (-2170)/6300 + 1/(-18).
-2/5
(-104)/156*3/2
-1
Calculate 8/36*3*(-3)/(-8).
1/4
Calculate ((-24)/(-80))/((-6)/45*-18).
1/8
Evaluate (8 - -1 - 4) + (3 - 6).
2
Evaluate 1/(-5 + 28/6).
-3
((-2)/(-4))/1*22/44
1/4
What is the value of (-1548)/(-126) + -12 - (-58)/(-7)?
-8
What is 123/36*3 + -10?
1/4
Calculate (8/12)/(15/10).
4/9
Evaluate 24/(-52) - (-340)/(-52).
-7
1/((-6)/8*(-3)/(-9))
-4
What is 0 + -7 + 2 - 0?
-5
What is (-18)/16*(-92)/69?
3/2
Evaluate -12 - -6 - (-10 - 0).
4
What is (14/(28/(-6)))/1?
-3
What is the value of (20/5 - 7)*1?
-3
Calculate (-2)/(-7)*(-35)/(-10).
1
Calculate (-4 + 3)*(-10)/95.
2/19
What is the value of ((-3 - -4)/(-6))/((-19)/(-38))?
-1/3
(45/18)/(1/(-2))
-5
(-4)/12 + (-3 - 84/(-9))
6
Evaluate 3 + (-69)/21 + 1769/(-203).
-9
Evaluate (0 + 6)/(-2) - (-6 - -3).
0
What is 145/(-150) - 36/(-45)?
-1/6
Calculate 30/165 + 525/77.
7
((-108)/15)/(-4)*80/(-24)
-6
What is the value of (-2 - -5) + (-24)/14 + -1?
2/7
Evaluate -4*1 - (-1 + 2)*-2.
-2
Calculate 120/39 + (2 - 3)*3.
1/13
Evaluate 390/(-325)*5/(-51).
2/17
((-6)/12 - -1) + 22/4
6
What is the value of 4*2/2 + -1 + 0?
3
What is the value of ((-12)/1)/4 - -6?
3
Calculate ((-10)/(-30))/(3/(-45)*-1).
5
Calculate (0 + 3)*2/6 - -3.
4
What is the value of -1*(-9)/(36/(-28))?
-7
Evaluate (-63)/(-30) - (-2 - -4).
1/10
Calculate (90/27)/((-8)/6) + 5.
5/2
Calculate -11 + -1 - (-158 + 151).
-5
What is ((-65)/(-7) + -9)/(24/(-14))?
-1/6
Evaluate (40/60)/(15/9).
2/5
Calculate (1 + 1 + -1)*(-2 + -1).
-3
What is the value of (48/8)/24*8/(-6)?
-1/3
What is (-101)/(-202) + 14/(-20)?
-1/5
((-12)/16 + 14/8)*-5
-5
-8 - 2*(-3 - 0)
-2
What is 1/(3 - (-2)/(20/(-25)))?
2
What is the value of (6 + (-16)/4)/(2/3)?
3
What is ((-38)/20 + 2)/(2 | {
"pile_set_name": "DM Mathematics"
} |
ive.
i**(6802/45)
Simplify (i/(i/(i**7*i)))/((i*i**(-11))/i)*(i**(-5/3)/i)/i**10 assuming i is positive.
i**(19/3)
Simplify t**(9/7)/(t*t*t**(-10)/t)*(t**3)**(4/19) assuming t is positive.
t**(1452/133)
Simplify s**(-1)*s*s/(s/(s*(s*s*s**5*s)/s))*s**(-1)/((((s**(-1/18)*s)/s)/s)/s*s) assuming s is positive.
s**(145/18)
Simplify ((z*z/(z/((z/(z*z**(-2/43)*z)*z)/z)))/z**(5/3))/((((z*z**(-1)*z*z*z)/z)/z)/z**(1/8)) assuming z is positive.
z**(-2575/1032)
Simplify ((k/(k/(k*k*k**(-1/19)*k)*k))/(k**(2/25)/k))/(k**(3/14)/k*k)**(-2/155) assuming k is positive.
k**(295839/103075)
Simplify c**14*c**(-2/13)*c*c/((c**(-1/10)/c)/c*c)*c/(c**(2/13)*c) assuming c is positive.
c**(2183/130)
Simplify ((z*z**(-1/3)/z)**(-33)/((z*z**(3/7)*z)/z**(-2/11)))**(18/13) assuming z is positive.
z**(11628/1001)
Simplify (((u*u**(2/3))/u*u**(1/4)/u)**(-18))**(4/25) assuming u is positive.
u**(6/25)
Simplify ((((i/(i**0*i))/i)**24)**(-2/15))**(-2/17) assuming i is positive.
i**(-32/85)
Simplify (c/c**(-1/8))**(-22)*(c**0)**(6/35) assuming c is positive.
c**(-99/4)
Simplify (s**(2/43)/(s/s**(-2/19)*s))/(s*s**(-2)*s)**42 assuming s is positive.
s**(-1682/817)
Simplify ((d**0/d)**(-29)*(d*d*d*d**1)/d*d*d**6)**(-14/3) assuming d is positive.
d**(-182)
Simplify (o**(-2/21)*o*o*(o*o*o**(1/11))/o)/((o/(o*o**20))/(o*o/((o*o**17*o*o)/o))) assuming o is positive.
o**(1385/231)
Simplify ((v*v**2*v)/v**7)/(v**(1/8)*v)**27 assuming v is positive.
v**(-267/8)
Simplify (p*p/p**(16/3)*p/((p/(p**(-1/25)/p)*p)/p))**(36/5) assuming p is positive.
p**(-3936/125)
Simplify (n**18/n*n*n/n**(-5/2))/(n*n*(n/(n*n/((n/((n/(n/n**(-7)))/n)*n)/n))*n)/n*n*n*n**(-8)*n) assuming n is positive.
n**(33/2)
Simplify (p/(p/(p*p*p*p**(2/9)/p*p))*p/p**(-4/3))/((((p/(((p*p/p**(-1/17))/p)/p))/p)/p)/(p**(-5/3)*p)) assuming p is positive.
p**(910/153)
Simplify ((j*j**(-10)*j*(j/j**(-3/11))/j)/(j/j**1)**(-2/5))**(-50) assuming j is positive.
j**(4250/11)
Simplify (t*t/t**6)/(t/t**(-2/17))*(t/t**(-1/5)*t)**(7/8) assuming t is positive.
t**(-2171/680)
Simplify ((((d/d**(-1/4))/d)**(-49))**(-50))**(3/25) assuming d is positive.
d**(147/2)
Simplify (u*u**2*u**(-1)*(u/u**(1/2))/(u/u**(-3/4)))**(-2/39) assuming u is positive.
u**(-1/26)
Simplify (y*y**(2/7)*y/(y**(-1/2)/y))/((y**(7/2)*y)/(y*y**(7/6)*y)) assuming y is positive.
y**(103/42)
Simplify (x**1)**(-1/3)/((x*x**(4/3))/(x*x**(1/6))) assuming x is positive.
x**(-3/2)
Simplify ((u/u**(1/2))**(14/9)/((u**(1/5)/u)/u**(5/4)))**(2/33) assuming u is positive.
u**(509/2970)
Simplify (((m/m**2)/m)**(-46)*(m**3)**45)**(3/11) assuming m is positive.
m**(681/11)
Simplify ((x*x**(-4/9)*(x*(x**(-1/3)/x*x*x)/x*x*x)/x*x)/((x**4*x)/x**4))**(-42) assuming x is positive.
x**(-280/3)
Simplify (y**15*y*y/(y/(y*y**(-2/15)*y)))/(((y**0*y)/y)/(y**(-2/35)*y*y*y)) assuming y is positive.
y**(437/21)
Simplify (((z**(-2/3))**50)**(-3/17))**(5/14) assuming z is positive.
z**(250/119)
Simplify b*b*(b**(-3/5)*b*b)/b*b*b*b*b**(1/2)*b*((b/b**0)/b*b)**31 assuming b is positive.
b**(379/10)
Simplify ((i**(1/5)/(i/(i*i/(i*i**(-6/11)*i*i)*i)))/(i**4*i**(-3/7)))**(5/2) assuming i is positive.
i**(-1473/154)
Simplify ((g**6/(g*g/(g*(g/g**(-1)*g)/g)*g))/((g*g**(-5/6)*g)/g**(2/15)))**(1/36) assuming g is positive.
g**(149/1080)
Simplify (y**(-5)*y*y)**(-3/4)/((y/y**(1/5))/y**(1/22)) assuming y is positive.
y**(329/220)
Simplify ((t/(t/(t/t**7))*t**(-3))/(((t*t**(-2/17))/t)/t**(-5)))**(1/5) assuming t is positive.
t**(-236/85)
Simplify (g/g**(-17)*g*g**(-2/7)*g)/(g**6/g**(2/27)) assuming g is positive.
g**(2606/189)
Simplify (y/((y**(-2/17)*y*y)/y))**(1/8)*(y**17)**(-15) assuming y is positive.
y**(-17339/68)
Simplify (x/(x/x**(-3)))/(x/x**(5/7))*(x/(x*x**(13/2)/x))/x**(1/16) assuming x is positive.
x**(-991/112)
Simplify ((g**(-1/3)*g)**(-2/85)*g/(g/g**(-2/13))*g/g**(4/7)*g)**(7/6) assuming g is positive.
g**(14608/9945)
Simplify (l**(2/9))**(-13/4)/(l*l**(-3/10))**(1/10) assuming l is positive.
l**(-713/900)
Simplify (q*q**(-3))**(-2/157)/(q/(q/(q*q**(-5/3)))*q/q**4) assuming q is positive.
q**(1739/471)
Simplify ((n*n/n**(-1/15))**(-2/99))**38 assuming n is positive.
n**(-2356/1485)
Simplify z**10/(z*z/(z/z**(-14/9)*z))*z**(-1/5)/z**19 assuming z is positive.
z**(-344/45)
Simplify ((((p**(3/7)*p)/p*p)/p)/p*p)**1/(p/((p/(p**15*p))/p)*(p**(-2/3)/p)/p*p) assuming p is positive.
p**(-313/21)
Simplify (d/((((d/((d*d**(1/9))/d*d))/d)/d)/d)*d*d*d*d*d*d**(2/5))/((d*(d/(d*d**(-11)))/d*d)/d**(3/2)) assuming d is positive.
d**(-89/90)
Simplify (o**(-9))**16/(o**(1/5)/o)**33 assuming o is positive.
o**(-588/5)
Simplify (u**(-1/5))**(-4/17)*u**(-5/6)*u**(-14) assuming u is positive.
u**(-7541/510)
Simplify (y**(-18)*(y/y**15)/y*y*y)**(-31/3) assuming y is positive.
y**(961/3)
Simplify (o**(9/2)/o**(-1/8))/((((o*(o*o/o**(14/5)*o)/o)/o)/o)/(o/o**(-18))) assuming o is positive.
o**(1017/40)
Simplify (l**6)**(-15)/(l**(2/5)/(l*l/l**(1/4))) assuming l is positive.
l**(-1773/20)
Simplify (j/j**3)**(-5/13)/((j/(j*j**(-1/9)/j*j))/j**(-10/9)) assuming j is positive.
j**(-53/117)
Simplify u*u**(-18/11)*u**19*u*((u/u**36)/u)/(u/(u**(1/43)/u)) assuming u is positive.
u**(-8804/473)
Simplify ((u/u**(1/4))/u*u)**(4/7)*u**(2/43)/u**(-1/20) assuming u is positive.
u**(3161/6020)
Simplify ((h**(-3)/(h**(-4/7)*h*h))/((h/(h**(1/2)/h))/h*h)**(-50))**(-16) assuming h is positive.
h**(-7904/7)
Simplify ((p*p*(p/(p/((p*p/p**5)/p)))/p)/p**(3/4)*(p**(-2/9)*p)**18)**(-2/9) assuming p is positive.
p**(-41/18)
Simplify (d/(d/d**(1/3)))**(4/3)*d**(-7/4)*d*d**(-14)*d assuming d is positive.
d**(-479/36)
Simplify u**(-7)*u/(u/(u*u**(-1/8)/u))*(u*(u**6/u)/u)/(u/((u**(-2/9)/u*u)/u)) assuming u is positive.
u**(-313/72)
Simplify (w/(w**31/w))**(-1/3)/(w/w**(-40)*w**40/w*w) assuming w is positive.
w**(-214/3)
Simplify (v*v**2*v*v)/((v**(-10/13)*v*v)/v)*v**(5/2)/v**11 assuming v is positive.
v**(-97/26)
Simplify (((x*((x*(x/(((((x**(-2/7)/x)/x)/x)/x)/x)*x)/x*x*x*x*x*x)/x)/x)**(-26))**(5/6))**(-1/10) assuming x is positive.
x**(1027/42)
Simplify c**(-6/11)/c**(2/41)*(c*(c**(-10)/c)/c*c*c*c)/(c/((c**2/c)/c)) assuming c is positive.
c**(-4327/451)
Simplify g**(-12/13)/g**(-13)*g**(-3/5)*g/g**(-35)*g assuming g is positive.
g**(3151/65)
Simplify (((z/(z**4*z))/(z*z**(-1/3)*z))/((z/((z*z*z/(z**(-7)/z)*z*z*z)/z))/(z/z**(9/5))))**(-14/11) assuming z is positive.
z**(-1162/165)
Simplify (m**(-6))**(12/13)*(m/m**(-9))**(-10/9) assuming m is positive.
m**(-1948/117)
Simplify (a**8)**(-38)/((a/(a*a**(2/85)))/(a/(a/a**18))) assuming a is positive.
a**(-24308/85)
Simplify ((q*(q*q/(q/q**(-1/4))*q)/q)**(4/17)*q/(q*q**(-2/3)*q)*q*q**(-1/9))**(-44) assuming q is positive.
q**(-6512/153)
Simplify ((o**(-6)/o)/(o/(o*o/o**(-12))))/(o**(-8/7)*o*o*o*((o**(-4/13)*o*o)/o)/o) assuming o is positive.
o**(405/91)
Simplify (((r/r**(1/3)*r)**22)**(-37))**(-1/49) assuming r is positive.
r**(4070/147)
Simplify ((j**13/(j*j**1))**(-39))**20 assuming j is positive.
j**(-8580)
Simplify (t*t*t*t**(2/13)*t)**18*t**(4/23)*t*t**(-14)*t assuming t is positive.
t**(18820/299)
Simplify (b**(6/11)/b)**(-5)*b/(b/((b**23*b)/b))*b**(-2/17)/b assuming b is positive.
b**(4517/187)
Simplify (c**(-3/17))**(-1/8)*c*c/c**(-9/2)*(c**(-5/3)*c)/c assuming c is positive.
c**(1981/408)
Simplify (d**(-4/9)*d*d**(-1/8))**(-36) assuming d is positive.
d**(-31/2)
Simplify y**13*y*y/((y/y**(-5/2)*y*y*y)/y)*((y/y**(3/4)*y)/y*y)**(1/47) assuming y is positive.
y**(1791/188)
Simplify x**(-2/15)*x*x**(-10/9)*x*(x**(-3/4)/x)**(-28) assuming x is positive.
x**(2239/45)
Simplify (i*i/(i**0*i))**(3/10)/((((i/(i*(i**13/i)/i*i))/i)/i)/((i*i**(2/37))/i)) assuming i is positive.
i**(5311/370)
Simplify x**(1/11)/(x*x/x**16)*(x/(x*x**11))/((x**(-16)*x)/x) assuming x is positive.
x**(210/11)
Simplify (o**19/(o/o**19))/((o*(o/((o/(o/(o/(o/(o*o/o**(-16)))*o)))/o))/o)/o**4) assuming o is positive.
o**58
Simplify ((u/(u/(u/u**19)))/u**1)/(u**5)**20 assuming u is positive.
u**(-119)
Simplify ((b**(5/3)*(b*b**(-2/11)*b)/b)/((b*b**2)/(b/((b*b/(b/b**(3/2)))/b*b))))**9 assuming b is positive.
b**(-399/22)
Simplify (y**6/y**(-10))/(y**(2/3)*y*y*y)**(-17/4) assuming y is positive.
y**(379/12)
Simplify (o/(o**18*o))/(o/(o*((o**(1/16)/o)/o*o)/o))*o/o**(-2/19)*o*o**(-21)*o assuming o is positive.
o**(-11501/304)
Simplify ((p*p**(1/25))/ | {
"pile_set_name": "DM Mathematics"
} |
*g + 66. Does 8 divide g?
True
Let c = 377 - 210. Let a = -95 + c. Is 12 a factor of a?
True
Let m(o) = -o**2 + 10*o + 5. Let c be m(10). Let w be 0 - -1 - (-15)/c. Suppose -5*s + 2*f = -60, 2*s - 5*f = w - 1. Is s a multiple of 14?
True
Suppose -19*h + 29*h = 2380. Does 5 divide h?
False
Suppose 0 = -0*d + 4*d - 2*n - 2, -n + 3 = 2*d. Let u be (-2 - 2)*d + 5. Suppose -u = 2*z - w - 104, w - 152 = -3*z. Is z a multiple of 17?
True
Suppose c + 17 = -0*c. Let a = c + 21. Suppose h = a - 1. Is 3 a factor of h?
True
Suppose -8 - 20 = 2*k - 4*m, 0 = 2*k - 3*m + 26. Does 19 divide (-190)/(-38)*(-44)/k?
False
Let v = -16 + 18. Suppose -60 = -d - v*k, d + 3 = -4*k + 63. Let p = -8 + d. Does 12 divide p?
False
Let q be (-9 + 9)/(1*3). Let i(j) = 26 + q + 2*j + 15. Is 14 a factor of i(0)?
False
Does 13 divide (6 - (-1128)/2) + -7?
False
Suppose -5156 = -5*d + 4*a - 204, 4*d = -2*a + 3972. Does 10 divide d?
False
Suppose 4296 = 7*x - 2473. Is x a multiple of 10?
False
Suppose -f - u = -1, 4*f = 3*u - 8 - 23. Let b(x) be the third derivative of x**5/30 + x**4/6 - 2*x**3/3 - 18*x**2 - 2. Is b(f) a multiple of 6?
True
Is 31 a factor of 2/4 - (-21375)/30?
True
Let l(c) = -51*c - 21. Is l(-1) a multiple of 6?
True
Let k be 6/8 + 111/12. Let r be k/15 - (-415)/3. Suppose -2*p + 3*x = -0*x - r, p - 71 = 2*x. Does 17 divide p?
False
Suppose 733 = -5*g - 592. Let u = -149 - g. Is 18 a factor of u?
False
Let n(x) = 2*x**2 + 20*x - 23. Let b(y) = y**2 + 10*y - 11. Let k(t) = 9*b(t) - 4*n(t). Let h be k(-11). Suppose h*c - 6*c + 132 = 0. Is 10 a factor of c?
False
Is 141 - 29 - (-1 + 0 - 2) a multiple of 5?
True
Suppose -19*x = -18*x. Suppose -i = 5*p - 0*i - 451, x = 5*p + 5*i - 455. Is p a multiple of 9?
True
Let v(k) = 3*k**2 + 3*k - 22. Let c be v(-7). Suppose -5*g + 118 = -2*i, 2*g - 4*i = -2*g + c. Is 12 a factor of g?
False
Suppose 0 = -3*o - 0 - 3. Let q(w) = w**2 - 2*w - 1. Let f be q(o). Suppose 2*t + f*t = 3*j - 238, -2*t = 3*j - 232. Is j a multiple of 39?
True
Let x be (12 - 14) + 1*2. Suppose 4*j + k - 507 = x, j - 246 = -j - 2*k. Does 32 divide j?
True
Suppose -y - 40 = -5*n - 0*y, 2*n + 5*y - 16 = 0. Is (-9 + n)/((-2)/358) a multiple of 18?
False
Let u(j) = -2*j**3 - 2*j**2 - 5*j - 18. Let a(y) = y**3 + 2*y + 1. Let x(s) = 3*a(s) + u(s). Does 8 divide x(5)?
False
Let i(k) = 4*k**2 + k - 27. Let q(o) be the second derivative of o**4/12 - 7*o. Let z(r) = -i(r) + 5*q(r). Is z(0) a multiple of 27?
True
Is (-12 + 0)/(3093/(-441) - -7) a multiple of 49?
True
Let t = 28 + -28. Suppose 5*f - 19 + 4 = t, 3*f = -5*x + 584. Is x a multiple of 6?
False
Suppose 3*v = -12*p + 9*p + 732, -3*p - v = -740. Does 31 divide p?
True
Let w = 7 - 14. Let q(l) = -l**2 - 37*l - 79. Let u be q(-34). Let h = w + u. Does 16 divide h?
True
Is 7 a factor of -178*(-25)/(150/36)?
False
Is 111/6*(22 + 7 - -1) a multiple of 9?
False
Let m(q) = -q**3 + q**2 + 4*q. Let i be m(-2). Suppose 2*x - 60 = -i*f + 5*f, 2*x = -4*f + 40. Is x a multiple of 8?
False
Let d = -158 - -263. Suppose 0 = 4*q + h - 106 - 149, d = 2*q + 5*h. Is 13 a factor of q?
True
Let k(f) = -f + 12. Let q be 2/(1/(-4 + 6)). Suppose -q*b - 12 = -4*s, s - 17 = 4*b + 4. Does 9 divide k(b)?
True
Suppose -132 = -5*l + 578. Suppose 3*z = -4*i + 34, 4*z - 2 - 46 = -4*i. Suppose -2*m - z + l = 0. Is m a multiple of 16?
True
Suppose 46*c - 14291 = 3695. Is c a multiple of 3?
False
Let m = 342 - 294. Is m a multiple of 16?
True
Suppose -5*n + 365 = 4*i, 0 = 5*i - 79 + 104. Does 7 divide n?
True
Suppose -4*g - 4*a - 4 = 64, 5*g - 2*a + 106 = 0. Let j = -15 - g. Is j a multiple of 3?
False
Suppose -54 = -3*l - 15. Suppose 41 = -l*s + 2654. Does 12 divide s?
False
Suppose -186 = -8*q + 574. Is q even?
False
Let b(w) = -2*w**2 - 13*w - 9. Let f be b(-11). Let s = -76 - f. Let a = 11 + s. Does 11 divide a?
False
Let j be (0 + 3)/(3 + 70/(-24)). Let b = -9 + j. Is b a multiple of 10?
False
Suppose -3 = 3*h + 5*j, -3*h + 2*j = 2*h + 5. Does 8 divide (-12)/18*(h + 19)*-8?
True
Let v = 188 + -56. Suppose 0 = -3*q + v + 195. Does 41 divide q?
False
Let r = -303 - -401. Is r a multiple of 7?
True
Suppose -94 - 179 = 7*g. Let m = g + 80. Does 12 divide m?
False
Let u(d) = -104*d + 250. Is u(-11) a multiple of 50?
False
Let c(t) = t**3 + 18*t**2 + 15*t - 29. Let u be c(-17). Suppose u*w - 435 = 295. Is 13 a factor of w?
False
Let l(i) = i + 1. Let j be l(-1). Let p be ((-1)/((-3)/2))/(53/159). Suppose j = 2*m - 3*w - 60, -4*w + 31 - 95 = -p*m. Is m a multiple of 6?
True
Let y be -1 + 4 + 0 + 9. Let q be -4 - -6 - y - 3. Let p(o) = -o**3 - 14*o**2 - 15*o + 6. Is 16 a factor of p(q)?
True
Let i = -457 - -503. Is i a multiple of 23?
True
Suppose -m + 5*j + 800 = 0, -2*j - 2202 - 1088 = -4*m. Is 33 a factor of m?
True
Let m(j) = -15*j**2 + 237*j + 4. Does 9 divide m(13)?
False
Let c = -65 + 509. Is 6 a factor of c?
True
Let f(v) = -6*v - 9 - 7*v**2 + 0*v + 8 - v**3. Let k be f(-6). Let u(c) = 52*c**2 - 1. Is 23 a factor of u(k)?
False
Suppose 30*o = 33658 + 44792. Does 30 divide o?
False
Let p(g) be the first derivative of -g - 2*g**2 + 3 + 0*g - 7*g - 1. Does 2 divide p(-4)?
True
Let x = -19 + 23. Suppose 0*r - x*r + 20 = 0, 0 = -3*l + r - 41. Let k = 7 - l. Is 5 a factor of k?
False
Let w(s) = -s + 7. Let l be w(5). Let t(i) = -i**3 - 5*i**2 + 105. Let v be t(0). Suppose l*h = v + 33. Is h a multiple of 23?
True
Suppose 0 = 9*m - 3231 - 198. Is m a multiple of 3?
True
Let y(z) = 195*z - 171. Is y(6) a multiple of 27?
True
Suppose 2225 = 6*n + 641. Is n a multiple of 33?
True
Suppose 0 = 4*j - 2*x - 18, -2 = j + 2*x + 6. Suppose 0*b = -t + j*b + 30, -b - 29 = -t. Suppose 2*m = 6*m - t. Is 2 a factor of m?
False
Let j(v) = v**3 - 8*v**2 - 8*v - 4. Let k be j(11). Let f = k - 171. Is f a multiple of 25?
True
Let t(y) be the first derivative of -y**6/120 - y**5/30 + 7*y**4/24 + 4*y**3/3 + 2*y**2 - 3. Let x(f) be the second derivative of t(f). Does 4 divide x(-4)?
True
Is 17 a factor of 5/2 + 776/16?
True
Let a be ((-36)/42)/((1 + 0)/(-7)). Let j = a + 30. Is j a multiple of 6?
True
Let c(b) = -b**3 + 2*b**2 - b + 8. Let h be c(0). Suppose h*f - 362 = 182. Does 5 divide f?
False
Suppose v + 88 = 3*v. Is 7 a factor of (-3 + v/8)*(0 - -20)?
False
Let o(r) be the third derivative of r**6/10 - r**4/12 + r**3/3 + 13*r**2. Does 6 divide o(1)?
True
Suppose 2*x = -0*r - 2*r + 8, 3*x = r + 4. Suppose -174 = -0*z - x*z. Is z a multiple of 18?
False
Suppose n + 2*r - 19 - 1 = 0, 3*n - 60 = -2*r. Let j = 33 - n. Does 9 divide j?
False
Suppose 3*v + z - 2*z = -67, -v - 4*z = 31. Let l = v + 25. Suppose 69 = 2*j - 3*f, -2*j + l*f + 75 = -3*f. Is j a multiple of 7?
False
Let j be (-4)/(-6) - 365/(-15). Suppose -3*f = 10 - j. Suppose 0 = -5*p + d + 132, f*p = d + 3*d + 138. Does 10 divide p?
False
Let g(q) = 4*q**3 + 4*q**2 + 3*q + 1. Is g(4) a multiple of 8?
False
Suppose -5*c - 4*o = 8, -6 = 4*o - o. Suppose 2*m - 5*b = c, 0*b = 4*m + 3*b. Suppose m*l + l = 22. Is 4 a factor of l?
False
Let f(s) = -s**3 + 7*s**2 + 2*s - 7. Let q be f(7). Suppose -q*w = -6*w + 63. Let i = -29 - w. Is 12 a factor of i?
False
Let y(i) = 28*i + 32. Let f be y(16). Suppose 0 = -12*n + 7*n + f. Is n a multiple of 16?
True
Let z(b) = 4*b**3 - 17*b**2 - 30*b - 21. Does 16 divide z(9)?
True
Suppose 6*u + 176 = 8*u. Is u a multiple of 2?
True
Let b = 16 + -21. Is 14 a factor of (-10)/b + -2 - -42?
True
Let t be 4*-4*(-3)/12. Let w be (-2)/3*60/(-8). Suppose u + 179 = 3*v - u, t*v - w*u = 248. Is v a multiple of 19?
True
Suppose 0 = -22*w + 12*w + 120. Suppose -425 = 7*r - w*r. Does 14 divide r?
False
Let p = 474 + -279. Is p a multiple of 13?
True
Let z = -234 + 147. Let s = 186 + z. Does 33 divide s?
True
Let k = 124 - -11. Let h = 200 - k. Is h a multiple of 14?
False
Is 2 a factor of -594*(-2)/3 - -9?
False
Let f(z) = -z**2 + 29*z - 39. Does 57 divide f(15)?
True
Suppose 12 = -4*h, -3*p + 2*h - 276 = h. Let o = 7 - p. Suppose -3*j - 2*j + 5*a + 120 = 0, -4*j + o = -3*a. Does 18 divide j?
False
Suppose 2*z - 22 - 18 = 0. Suppose a + a = -z. Let q = 11 - a. Does 7 divide q?
True
Suppose 0 = -2*p + 7*p - 225. Let j(r) = -r**2 - 6*r. Let f be j(-6). Suppose -3*g - 6 + p = f. Is g a multiple of 4?
False
Suppose 7*x + 18 = -2*x. Let k(g) = -2*g**3 + 2*g**2 + 2*g + 1. Let q(z) = z**3 - | {
"pile_set_name": "DM Mathematics"
} |
common multiple of a and l.
88
Let j = -10135/18 - -564. Let f be 8/2*(1 + 1 + -4). Find the common denominator of j and ((f/(-21))/(-2))/((-6)/(-36)).
126
Suppose 6*g - 4*m = 4*g - 8, 2*m - 2 = 0. What is the common denominator of 95/8 and g/8*(-196 + 2)?
8
Let s be 0 - (116 - (-2 - -1)). Suppose v - 270 = 4*v. Calculate the common denominator of -63/2 and s/v - 0/1.
10
Suppose 0 = -2*x - 9*x + 363. What is the common denominator of 8/(-6)*86/8 and x?
3
Suppose 5*m = -2*i - 6 + 11, 3*i - 36 = 2*m. Calculate the lowest common multiple of 105 and i.
210
Let u be 2/(3*-2) + (-35528)/(-24). Let t = -9013/6 + u. What is the common denominator of -53/6 and t?
6
Find the common denominator of -6/157 and (-1098)/(-144) - 3/(-2).
1256
Let b(f) = 2*f**3 - 32*f**2 + 33*f - 42. Calculate the smallest common multiple of b(15) and 128.
384
Suppose -5*o + 1085 = 380. Calculate the lowest common multiple of 12 and o.
564
Let o = -3640 + 5729. Let p = -8427/4 + o. Calculate the common denominator of 4/(-30)*(3 - (-1488)/(-36)) and p.
36
Let h = -21 + 16. What is the common denominator of 73/22 and (57/h)/(100/125)?
44
Suppose 0 = -5*w - 0 + 20. What is the common denominator of 15/8 and ((-1)/w)/(25/(-390)) + -1?
40
Suppose 2*u - 6172 = 4*g, g + u = 2*g + 1544. Let j = g - -10732/7. Let n = 195/56 + j. What is the common denominator of n and 23/12?
24
Let z = 4313937/160 - 26962. Find the common denominator of z and -61/2.
160
Let u = 2647421263863967 + -2864510420104705537/1082. Let b = -566177393 - u. Let i = b + -1/541. Find the common denominator of i and -85/6.
6
What is the common denominator of 260/184 + (-9)/9 and -55/12?
276
Let f be 6139/118356*466/(-4). Let v = 3/2818 + f. Find the common denominator of v and 75/16.
48
Let d = 45 + -25. Suppose x - 12 = -5*r + 2*x, -x = 2*r - 2. Suppose -v - 22 = -3*m + 54, -r*v + 134 = 5*m. What is the lowest common multiple of m and d?
260
Let g = 45115 - 19670159/436. What is the common denominator of -11/8 and g?
872
Calculate the common denominator of 16/9 and (234/(-4) + 3)*(-6)/243.
27
Suppose 0 = -5*b - 5*q + 15, -358*b + 355*b = -5*q - 49. What is the smallest common multiple of (-2)/(-4) + (-5)/(-2) and b?
24
Calculate the common denominator of -125/18 and 53393/26750 - (0 - -2).
2250
What is the common denominator of (2/(-24))/((-3)/(-858)) and (370/315)/(2/3)?
42
Let m be (-40)/10 + (-14)/(-2). Find the common denominator of 52/33 and 3519/460*(-2)/m.
330
Suppose -312 + 816 = 21*i. What is the lowest common multiple of 11 and i?
264
Let o = 139341 + -19228945/138. Calculate the common denominator of -37/115 and o.
690
Suppose 39 = 5*o + b - 11, b + 13 = 2*o. Suppose 4*s - 32 = 16. What is the smallest common multiple of o and (s/(-21))/(8/(-28))?
18
Suppose 0 = y - 3, 3*u - 2*y = 4*u - 83. Suppose -284 = -4*q + 4*p, 2*q + 2*p - u = 61. Calculate the common denominator of (-4)/14 + (-65)/q and -17/6.
42
Let m = 5/10529 - -936921/336928. Calculate the common denominator of m and 83/24.
96
Suppose 516 = 3*f + 18*v - 21*v, -12 = -3*v. Calculate the smallest common multiple of f and 16.
176
Suppose 10*n - 396 = 6*n. Suppose -d = 5*v + 2*d - n, -4*v = -2*d - 66. Let r = -46 + 58. What is the lowest common multiple of v and r?
36
Let m = -4811 - -942969/196. Calculate the common denominator of m and -54/5.
980
Suppose -5*b - 2 = -42. What is the least common multiple of 21 and b?
168
Let g = -12277 - -122887/10. Calculate the common denominator of g and 12.
10
Let p = -36284/5 + 2830927/390. Calculate the common denominator of 20/143 and p.
858
Let l = -5377/2799 - -10/311. What is the common denominator of l and 11/12?
36
Calculate the smallest common multiple of -110*((-3)/(-3) - -1 - 3) and 9.
990
Let z = -65 - -68. Calculate the least common multiple of (-4)/((-1)/(-2 + z)) and 2.
4
Suppose 9*s - 10*s + 1052 = 5*o, 4*s = -3*o + 638. What is the lowest common multiple of 40 and o?
840
Suppose 0 = 4*l - 3*k - 100, -19*k - 2 = -l - 24*k. Calculate the least common multiple of 6 and l.
66
Let p(g) = -3*g - 10. Let l(n) = -n**3 + 9*n**2 - 7*n - 1. Let j(s) = -s - 4. Let i be j(-12). What is the smallest common multiple of l(i) and p(-5)?
35
Let t be (40/5)/(4/3 + -2). Let j = t + 30. Calculate the least common multiple of j and 52.
468
Let o(b) = b**3 + 11*b**2 - 11*b - 105. Calculate the least common multiple of o(-11) and 92.
368
Let b(j) = 0 + 5*j - 3 + 0*j + 4*j. Let o be b(-3). What is the common denominator of 257/(-60) + (-10)/o and -53/6?
60
Calculate the least common multiple of 20 and (8*2)/((-712)/48 - -15).
480
Calculate the common denominator of 69/8 and (-1)/4*((-306)/(-3))/(-6).
8
Let g = 4553941/852 - 5345. Let s = -1467/284 - g. Calculate the common denominator of s and (-1)/(-2) - (-357)/(-28).
12
Calculate the common denominator of 25 + -7*8/(-112) and 9/232.
232
Let p = 15/2068 - 142379/241956. What is the common denominator of -41/104 and p?
936
Let m(y) = -30*y + 4. Let z = 2 - -1. Calculate the smallest common multiple of m(0) and z.
12
Suppose q + 114 = 5*c, -2*c + 4*c = -q + 40. Calculate the least common multiple of c and 18.
198
Suppose -21 = -3*d - t + 2*t, 35 = 5*d + 4*t. What is the common denominator of 46/21 and ((-35)/(-2))/(d + (0 - 4))?
42
Let x = -69 + 45. Let g(r) = -2*r - 40. What is the least common multiple of 22 and g(x)?
88
Let l = -7 + 8. Suppose 4*u = -3*z + 58, -5*z + 2*u + 7 + 107 = 0. Calculate the least common multiple of z and l.
22
Let y(r) = -r**3 - 3*r**2 + 33*r + 41. What is the smallest common multiple of y(-7) and 4?
12
What is the common denominator of 2/44*(-330)/11 and -107/12?
132
Calculate the common denominator of 1*((-194)/(-4) - -2) and (-202)/12*(6 - 297/44).
8
Let z = 4727/10 - 475. Calculate the common denominator of ((-24)/15 + 2)*(-2555)/(-28) and z.
10
Calculate the common denominator of -58/85 and (68/(-14))/((-24)/(-448)*-20).
255
Let v(q) = 183*q**3 - 4*q**2 + 2*q + 1. What is the least common multiple of v(1) and 143?
2002
Suppose -3*v - 195 = -4*v. Let k be ((-144)/v)/((-7)/15). Let j = 1457/1092 + k. Calculate the common denominator of -61/12 and j.
12
Suppose 35*p - 80 - 95 = 0. Calculate the least common multiple of 2 and p.
10
Find the common denominator of (-3)/9*58/(-6) and 435/156*(-6)/20*4.
234
What is the common denominator of -53/175 and -2 - (11 - 17871/1400)?
1400
Let r = 14 - 36. Find the common denominator of 438/(-8)*(2 + (-10)/6) and 4/r + 606/308.
28
What is the common denominator of -17/25 and (485/(-100) + 5)/(15/(-74))?
50
Let o = 320370 - 2559171/8. Let d = 472 - o. Calculate the common denominator of d and -75/8.
8
Let h = -290 + 293. What is the lowest common multiple of 7 - 11 - 1*-25 and h?
21
Calculate the common denominator of (-7)/(-21)*(-10947)/164 and (-206)/96 - (-4)/(-6).
16
Let g(r) = -r - 8. Let z be g(-7). Let y = -2993/4 + 771. Find the common denominator of 2*106/24 + z and y.
12
Suppose -4 + 0 = k, 0 = 2*v + 3*k + 18. Let h = v - -7. Calculate the common denominator of h/32 - 407/24 and -77/6.
6
Suppose -44*i - 22 = -45*i. Let n(p) = 2*p**3 - 19*p**2 - 9*p - 2. Calculate the smallest common multiple of i and n(10).
88
Let a be ((-5301)/(-4200))/((-8)/60). Let r = -176/35 - a. Calculate the common denominator of r and 24/(-10)*(-26)/32.
80
Suppose -85 = -5*y - 15. What is the common denominator of (36/8*y)/(-46) and 101/6?
138
Let p(i) = -i - 8. Let n be p(-4). What is the common denominator of 87/16 and (609/150 + n)/((-12)/(-470))?
80
Let z = -26114 + 79234/3. Let x = -27310/11 - -459964/165. Let a = x - z. Find the common denominator of 109/6 and a.
30
Let c = -213 + 582. Calculate the least common multiple of 15 and c.
1845
Let k = -2803 - 4451. Let n = 72621/10 + k. Find the common denominator of -15/22 and n.
110
Let t = -12911/24 - -1627/3. Let j be 0/(-2) - 968655/240. Let r = j + 4034. Find the common denominator of t and r.
16
Let t(q) = -59*q**3 - 6*q**2 + 6*q - 1. Let i be t(-5). Let s = i + -57459/8. Calculate the common denominator of (30 + 0)/((-24)/(-30)) and s.
8
Suppose 107 = 5*n - v, 3*n - 4*v - 29 = 42. What is the lowest common multiple of n and 77?
231
Suppose -3*n + v = 15, 4*n + 2*v + 10 = 2*n. Suppose 274*l = 278*l + 8. What is the least common multiple of 6 and 17 + (l - | {
"pile_set_name": "DM Mathematics"
} |
((19 - 31) + 15).
2
Calculate -2 + -8 + (-24 - (1 - -12 - 18)).
-29
Evaluate (-13 - -15 - -11) + (-1 - 2) + 2.
12
Calculate -4 + -6 + 9 + -17 + 18.
0
What is (-5 + -8 - -16) + -3?
0
(-145 - -132) + (-4 - (-1 + -28))
12
What is the value of -2 - -11 - (382 - 389)?
16
Calculate 359 + -335 + -5 + -1 + -1 + 1.
18
What is the value of (22 - 2) + -3 + -6?
11
-2 - -2 - 1 - (-9 - (19 + -5))
22
What is (10 - (4 - (7 + 4))) + 11?
28
What is 2 - (-16 - (-2 - 18))?
-2
59 + -13 - 39 - (1 - 13 - 0)
19
(-10 - -36) + (4 - 14)
16
What is the value of 8 + (-7 + -22 - 3)?
-24
Calculate 12 + 1 + -13 + 7 + -6.
1
What is the value of (-3 - 6 - -2) + 15 + -3 + 1?
6
What is the value of -5 + 4 + 4 + -23 - (-3 + 1)?
-18
What is -12 - -12 - 1 - (-2 - 14)?
15
What is -1 - -1 - (-2 + 17 + -18)?
3
Evaluate 17 - 7 - (-12 - -13).
9
(-29 + 43 - 27) + 31
18
Evaluate 0 + -2 + 11 - (9 + -48 + 30).
18
Calculate 0 + 11 + 1 + -510 + 500.
2
Calculate (-6 - 5 - -17) + 22 - (-2 + 0).
30
-4 - (-103 + 130 - (15 - 2))
-18
Evaluate -1 + 4 - -28 - (232 + -224).
23
Evaluate (0 - 33) + -241 + 256.
-18
Evaluate -15 - -3 - (-56 + 50).
-6
What is the value of 0 + 8 + (-41 - -103 - 47)?
23
(-3 - -4 - (-11 - -2)) + -27 + 30
13
Calculate (5 - -4) + (6 - (45 + 0)) + 1.
-29
What is the value of 16 - (-9 + 31 - 11)?
5
What is the value of 26 + -16 + 8 + -23?
-5
-13 - (-24 + 7) - 17
-13
What is 24 + (-20 - 8 - -29)?
25
Calculate -30 + 28 + -24 + 8.
-18
Evaluate 0 + (-9 + 9 - -9) + -24.
-15
What is the value of -11 - (-17 - (7 + -2))?
11
What is the value of 17 + (-19 - (6 + -20))?
12
Evaluate 10 + -20 + 11 - -12.
13
What is the value of 9 + 2 + 7 + -5 - 9?
4
-13 + 17 - 0 - (3 - 0 - -2)
-1
What is 8 - 0 - (-35 + 44 - -9)?
-10
What is the value of (0 - 0) + 33 + -5 + -2 + -11?
15
Evaluate 2 + 24 + -1 + -4 + -4.
17
Calculate (0 - -1) + -41 + 15 + 16.
-9
21 + -11 + -1 + -3
6
Calculate -15 - -1 - (-4 + 2 - (-2 - 0)).
-14
Calculate -1 - (-19 - (-18 - (-6 + -3))).
9
What is the value of (-3 - (2 - -3)) + -17 + -12 + 29?
-8
What is the value of -9 + 3 + 8 + -6?
-4
Calculate -3 - -1 - (-22 - (-11 + 23 - 34)).
-2
What is -11 + -28 + 34 + -11?
-16
What is -17 + 31 + -22 + 28?
20
(7 - (4 - ((-5 - -5) + -1))) + 0
2
Evaluate -4 - (8 + (8 - 13) - (1 + 0)).
-6
What is 12 + (3 - (5 - -6)) + (2 - 0)?
6
Calculate ((-8 - 5) + 5 + 1 - -8) + 6.
7
(1 - -8) + -3 + -5 + 9
10
Evaluate 1 + (4 - 3 - 4).
-2
Evaluate (0 - -7) + (-4 - -4) + -5 - 4.
-2
Evaluate 172 + -172 + -15 + 2.
-13
Calculate 1 + -12 + 2 - -2 - (341 - 344).
-4
6 + 15 + -21 + 17 - (2 + 6)
9
Calculate -14 + (15 - (6 - 0)) - -18.
13
Calculate -31 - -19 - -27 - (5 - -1).
9
What is the value of -16 + 1 + 2 - (714 - 733)?
6
What is the value of -12 - (-2 + (4 - 9)) - -11?
6
What is -13 + 19 + 26 + -26?
6
(-7 + (-6 - -16) - (9 + 1)) + 11
4
What is the value of -2 + -15 + 33 + 3 + -1 + 2?
20
What is 23 - ((16 - 6) + 9)?
4
(23 - 1) + (192 - 211)
3
What is (5 - (-15 - -32 - (5 - 2))) + -9?
-18
-12 - -8 - -12 - (-7 - -13)
2
What is the value of 12 + 22 + -11 + 2 + 2 + -13?
14
What is 8 + -24 + (-10 - -17) - -35?
26
What is the value of -9 + (2 - -3) + -2 + 104 + -109?
-11
What is -13 - (-6 - -2) - (-18 - (37 + -19))?
27
Evaluate 7 - 2 - (-25 - -44).
-14
Evaluate 4 + (10 - 4 - 4) + 7.
13
-4 - (-14 - (-3 + -10))
-3
(2 - 1) + (5 - -1) - (15 + -2)
-6
Calculate -19 + 2 - (6 + -12) - -7.
-4
Evaluate (-38 - -17) + -9 - -55.
25
Evaluate (7 - -15) + -6 + -35.
-19
What is the value of (0 - 17) + 1 - 3?
-19
Calculate -15 + (21 - -2 - 30).
-22
(-22 + 23 - 13) + 10
-2
What is -3 + 1 + 4 + (-1 - -4)?
5
-10 - (-3 + 1 - 9)
1
Calculate -14 + (14 - 1) + 2.
1
What is 2 + (15 + -7 + -11 - 16) + -4?
-21
What is the value of -22 + (20 - 40 - -26)?
-16
Evaluate (-7 - (11 - 15)) + (1 - 0) + 20.
18
Calculate -8 + (2 + -9 + 3 - (-10 + -1)).
-1
What is the value of (-79 - -87) + (4 - 7) + 0 + -19?
-14
Calculate 4 - (2 + (5 - (-9 + 6 - -18))).
12
Evaluate 19 + (14 - 12) + -33.
-12
What is 4 + (4 + 12 + -3 - 21)?
-4
Evaluate 2 - ((17 - 32) + 24 - (0 + 2)).
-5
Calculate -1 + (18 - 20 - (0 + -11 + 2)).
6
Calculate (7 - -1) + 18 + -31 + -9 + 2.
-12
What is (-5 - -5 - -28) + -4 + -9?
15
15 - (10 + (-6 - -15))
-4
Evaluate (-23 - -30) + -13 + 3.
-3
Evaluate (-122 - -128) + (1 - -1 - -3).
11
Calculate -11 - (22 - 13 - 9 - 12).
1
What is the value of 17 + (8 - 33) - -8?
0
Calculate 10 - 2 - (1 + 13 - (-48 - -39)).
-15
Evaluate (-11 + 24 - 31) + 13 + -2.
-7
What is the value of (-10 - -20 - -5) + -13?
2
What is the value of (-4 + 6 + -8 - -9) + -10?
-7
Calculate 37 - (48 + -28 + 25).
-8
Calculate -2 - (18 + -15 - 19) - 4.
10
What is the value of 9 - ((3 - (2 + 3)) + 6)?
5
What is the value of 0 + -3 + 9 - (6 - (3 + -6))?
-3
Evaluate -6 + (5 - -1) + 3 - -17.
20
What is the value of (15 - 23 - -1) + 16?
9
(5 - 25 - 0) + 49 + -42
-13
Calculate 3 + 1 - (0 + -6 + -3 + 3).
10
Calculate (40 - (1 + 9)) + -20.
10
-1 + 24 - (82 - 76) - 7
10
Evaluate -42 + 39 + -6 + -1 + 0.
-10
-1 + 0 + 48 + -47 + -4 + -5
-9
(-2 - (1 + -5)) + -1 + (-18 - -9)
-8
What is 5 - (2 - (2 + -9 + (-1 - -3)))?
-2
What is the value of (-1 - (6 + -9 - (-3 + 1))) + 20?
20
What is the value of (-2 - (1 + 4)) + (-4 - -14) - 3?
0
What is 23 - (24 - 24) - 22?
1
What is 0 + 6 + (-77 - -57)?
-14
What is 3 + -7 + -5 + 2 + (-47 - -70)?
16
What is 164 - 146 - (20 - -2)?
-4
(-4 - (-2 + 1) - (-22 + 24)) + 0
-5
Evaluate 12 + (-12 - 17) + 10.
-7
What is 82 + -84 + (-2 + -1 - -5) + -12?
-12
Calculate 17 - (15 - -13 - 19).
8
What is the value of -14 + (1 - 1 - (9 - 6))?
-17
What is the value of -1 + -1 - (16 - 8)?
-10
What is the value of (-1 - -25 - (92 - 79)) + (8 - -1)?
20
What is -7 - -2 - (12 - 26) - (7 + 1)?
1
2 + -4 + -2 + 22 + 26 + -52
-8
What is -268 + 295 - (-2 - 1)?
30
Calculate 4 + -3 + (-3 - (2 - 5)) + 2.
3
Evaluate -5 - ((-3 + 8 - 3) + -6).
-1
What is 23 + -19 + 6 + -24?
-14
Calculate (-2 - 9) + -11 - -13.
-9
What is -3 + -4 + (11 - 43 - -16)?
-23
What is 8 + -18 + 20 + -4?
6
Evaluate -11 - (3 - (-13 - -15)).
-12
Calculate (-5 - (0 - (7 + -7))) + -7 + 35.
23
What is (-13 + 7 - -6) + -3 + 0?
-3
Evaluate 0 + 0 + (-12 - (-13 + -3)) - 6.
-2
What is the value of -15 - 0 - (9 - 3 - (-25 + 30))?
-16
Calculate -2 - -3 - (-6 + (0 - -19)).
-12
What is 7 - (13 - (3 + 3)) - -9?
9
What is 0 + -7 - (-2 - (-15 + 11))?
-9
Calculate (3 - -34 - 32) + -25 + -1.
-21
-79 - -42 - -44 - (-9 + 1)
15
What is the value of -11 - (-17 - (-21 - -10))?
-5
-13 + (1 - 1 - 12) + 3
-22
What is (70 - 66 - (-2 - 12)) + -6?
12
What is 20 + (31 + -12 - 45)?
-6
What is -11 - (1 - (-1 + 5 + 9))?
1
What is -87 + 112 - (26 - 5)?
4
What is -12 - (-9 + (-10 - -15) + -5)?
-3
Calculate -12 + -17 - -20 - 15.
-24
Calculate -6 - ((-1 - (-4 - -9)) + -1) - 25.
-24
What is -10 + (21 - -2) - (33 - 2)?
-18
(23 - 13) + 9 + 1 + 3 - 3
20
What is the value of 31 - ((-15 - -23) + 16)?
7
Evaluate 15 - (19 - 9 - 14 - 8).
27
What is the value of -20 + (-15 - 0 - -28)?
-7
-4 + -11 + (5 - -2) + 37
29
What is the value of (-15 - 2) + -5 + 49 + 5?
32
Calculate -1 + -21 + (59 - 71) + -1 + 12.
-23
What is the value of 16 + -3 - (-5 + (22 - 5 - 7))?
8
What is -6 + 17 + 1 + -1?
11
What is the value of 13 + -4 - (7 + -3) - (10 + 1)?
-6
Calculate (11 + -13 - -23) + -4.
17
Evaluate -3 + (2 - (-9 + 0 + 19)).
-11
What is -2 - -9 - (5 + (10 - 18))?
10
Evaluate -3 + 4 - (4 + -8 + -1 + -1).
7
Calculate 1 + -7 - (3 + (52 - 66)).
5
Calculate (-2 + -16 - -56) + -36.
2
Evaluate 41 + (-13 + 1 + 8 - 13).
24
Evaluate -12 + (-21 - (-13 + -2)) + 47.
29
What is the value of (2 - 1 - (-1 + 0)) + (-17 - -14)?
-1
-3 + 0 - (8 + (-14 + 12 - 3))
-6
Calculate -44 + (36 - (25 + -18)).
-15
Evaluate 15 - (-3 + -8 + 4 + 7 + -1).
16
Evaluate (8 - 10 - -18) + -9.
7
10 - (8 + (2 - 10)) - 24
-14
Evaluate 5 + -26 + 11 - -6.
-4
What is 36 + 25 + -95 - -28?
-6
-4 + 6 + (6 - 41)
-33
What is the value of -185 - -147 - (-17 - 0)?
-21
What is the value of (9 - 15) + (3 - ((3 - -3) + -8))?
-1
22 + (5 - -3) + (8 + -17 - -14)
35
Calculate (22 - 7) + 2 - 8.
9
Calculate (-75 - -77) + (-2 - -11) + -3.
8
-6 + (-2 + (-4 - -2) - -3) - 18
-25
What is (-7 - (2 - (-6 + 9))) + 0 + -6?
-12
Calculate 6 - ((-6 - -8) + -10 - -1).
13
What is (-115 - -97) + (17 - 0) - 20?
-21
Evaluate 42 + -36 + (-2 + 1 + 2 - -4).
11
-2 + (-5 - (-2 + -1)) - -20
16
What is (-11 + 48 - 8 - | {
"pile_set_name": "DM Mathematics"
} |
et m(y) = 2196*y**2 - 56*y - 23. Is m(-11) prime?
False
Let x be (-1)/2 + 99/6. Let j = x + -10. Suppose -j*m + 974 = -40. Is m a prime number?
False
Let v be (-6)/(-15) - (-12)/(-5). Let g(n) = 3*n**2 + 10*n - 87. Let i be g(-7). Is (12/i)/(v/85) prime?
False
Let y = 32 - 18. Suppose -h + 8*h - y = 0. Suppose -18 + 272 = h*d. Is d prime?
True
Let h(y) = -y**3 + 8*y**2 + 23*y + 5. Let f be h(10). Let s be 7 - (3/5 + (-187)/(-55)). Suppose -5*u + f = r + 3*r, -u = s*r - 18. Is u prime?
True
Suppose 34*y + 30*y = -22*y + 14428306. Is y composite?
False
Suppose 0*i + 10 = 2*i, 301 = -4*u + 5*i. Let k = -69 - u. Is 1*1/((-3)/(-2517) + k) a composite number?
False
Suppose -2 = a + 1. Let p(j) = -344*j + 73. Let y(r) = -86*r + 17. Let h(v) = -2*p(v) + 9*y(v). Is h(a) a composite number?
True
Suppose 5*s = -7*a + 4*a + 3128, 4*a = 3*s + 4219. Suppose -5*b = -3*p + a, -3*b - 293 = 2*p + 349. Is (-13)/(852/b - -4) composite?
True
Let l(k) = 69*k + 32. Let a be (-23 - -10)*(3 - (-3 + 7)). Is l(a) a composite number?
False
Let v be 2*(-3)/2 + 9516. Suppose -18*q = -20205 - v. Is q prime?
False
Let i = -1575 + 1574. Let l(m) = 4*m + 1. Let y be l(-1). Is -1*(y + 616)*i prime?
True
Suppose -5*v + 4*z = -1607, 5*v + 3*z - z - 1619 = 0. Suppose -4*w - 3*q = q - 1260, v = w + 3*q. Is w prime?
True
Suppose 3*h = 9*h - 30. Suppose z - i - 1127 = 0, h*z + 4*i + 196 = 5813. Suppose 907 + z = 8*o. Is o prime?
False
Let g(n) = 21*n + 4142. Let k be g(0). Suppose 4 = -3*v - 8, -2*b + v + k = 0. Is b a composite number?
False
Suppose 3*w - s = 3131, -5*s + 1033 = 65*w - 64*w. Suppose 0 = 5*g - 4720 + 1390. Suppose 0 = -l + g + w. Is l composite?
False
Let p(l) = 29506*l + 159. Is p(5) a prime number?
True
Let n(z) = -4008*z - 11. Let h be n(-3). Suppose 6008 = u + 7*y - 6*y, -y - h = -2*u. Is u composite?
False
Let y be (-511476)/252 - (1 + -2)/(-3). Let r = y - -4191. Is r a composite number?
False
Is (-2740433)/(-387) + (-116)/36 + 3 a prime number?
False
Let s be (-1176)/10 - 0 - 27/(-45). Let c = s + 334. Is c a composite number?
True
Let i be 32 - (35/7 - 0). Suppose i*y = 5*y + 142714. Is y a prime number?
False
Let p(q) = -138*q. Let m(f) = -139*f + 1. Let s = -14 + 18. Let d(w) = s*p(w) - 5*m(w). Is d(8) composite?
True
Let u = -17253 + 170132. Is u prime?
True
Let g be (21/6 + -5)/((-6)/8). Suppose -v - h = -87, 4*v + h + g*h = 350. Is v prime?
True
Suppose -1 = -31*u - 1. Suppose u = -16*s + 25654 + 8698. Is s a prime number?
False
Suppose -45833750 - 55229742 = -93*r - 23*r. Is r a composite number?
True
Let b be (0 - 0)/(6 - 5). Let d(i) = 4*i**2 - 2*i + 5261. Is d(b) a composite number?
False
Let m(a) = 2*a**3 - 97*a**2 - 208*a - 211. Is m(64) composite?
False
Let k(s) = -44*s**3 - 14*s**2 - 9*s - 67. Is k(-10) a prime number?
False
Let t(b) = 846*b**2 - 1331*b + 31. Is t(16) a composite number?
False
Let j = -194767 - -296034. Is j a composite number?
False
Let g(t) = 48*t**2 - 10*t - 15. Let j be g(-10). Suppose -5*x - 5*u + 2619 = -2251, -j = -5*x - 2*u. Is x prime?
False
Let l(p) = 6*p**2 - 88*p - 739. Is l(-53) a composite number?
True
Is (1 - (5 - 10))*(-2492485)/(-15) + 3 composite?
True
Let g(l) = 12391*l - 12661. Is g(12) composite?
True
Let a(x) = -15544*x + 959. Is a(-18) prime?
True
Let c = 3040600 + -2147223. Is c prime?
False
Is (-3*40/9 - 6)*3183/(-2) a composite number?
True
Suppose 3763*x - 3760*x - 538487 = 4*b, 2*b = -5*x + 897487. Is x a composite number?
False
Let q(k) = 9*k + 502. Let s be q(22). Let i = -3 - -5. Suppose i*u - 7702 - s = 0. Is u a prime number?
True
Let o(s) = s**3 + 18*s**2 - 17*s - 21. Suppose 6*m - 2*m + 2*h - 22 = 0, 3*h - 3 = 0. Suppose 6*v = m*v - 17. Is o(v) a prime number?
True
Let c be (-3 - -2)/(-1*2/4110). Let p = 3046 - c. Is p composite?
False
Suppose -q - 4312 = -5*h + 2*h, 3*h - 4*q = 4324. Suppose 2*i = -2*c - h, -2*c - 2*c + i = 2857. Let j = 1206 + c. Is j composite?
False
Let p(k) = -8 + 3*k - 2 - 7. Let y(q) = 3*q**2 + 50*q - 5. Let f be y(-17). Is p(f) prime?
True
Let p(a) = -4*a - 9 + 15 - 9 + 3129*a**2 - 6*a - 12. Is p(-2) composite?
True
Is (-1122912)/(-9) + 2 + -5 a prime number?
False
Let u = -169749 - -276470. Is u a composite number?
False
Suppose 0 = -15*y + 519 + 24876. Let f = y + -873. Suppose 0 = 7*m - f - 2967. Is m a composite number?
False
Suppose -28099 = -h + 3*w, 4*h - 91713 - 20767 = -2*w. Is h a prime number?
False
Suppose -12487225 = -5*f - 5*z, f - 2*z = -z + 2497449. Is f a composite number?
False
Let x(u) = 15494*u**2 + 221*u + 646. Is x(-3) prime?
True
Let j(u) = -2*u + 3. Let w be j(3). Let b = -5283 + 5280. Is 4*445 - w/(b + 0) a prime number?
False
Suppose 8*a - 30*a = -264. Suppose -790 = -14*s + a*s - 2*m, -5*s + 3*m = -1991. Is s composite?
False
Let y(u) = 51*u**2 + 113*u + 11. Let l be y(-17). Let q = -8886 + l. Is q composite?
False
Is 5215 + (4/8)/(378/(-48) + 8) prime?
False
Let o(p) = -3980*p + 531. Is o(-5) a prime number?
True
Let j(h) = -1028*h - 15. Let a be j(-4). Suppose -5*q - 6*r + 6865 = -10*r, 3*q = -2*r + a. Is q a prime number?
False
Suppose -46894486 + 48429838 = -206*d + 107062766. Is d a prime number?
True
Let j(b) = 10459*b - 1280. Is j(33) a composite number?
True
Let a(v) = 2*v**3 - 4*v**2 + 68*v - 257. Is a(58) a prime number?
False
Let r be 143832/36 - (-4)/6. Let i = r + -985. Suppose 3557 + i = 4*a. Is a a prime number?
False
Let l(a) = -2*a**2 - a - 12. Let p be l(-5). Let z be (5 + -2 - p/(-15))*-1285. Suppose 3*b = -b + z. Is b a composite number?
False
Let s(n) = -7*n - 3*n - 38 + 3*n. Let y be s(-6). Suppose y*x = 2659 + 1113. Is x a prime number?
False
Suppose 16*v - 16736881 = -33*v. Is v composite?
False
Suppose -c = -13*n + 12*n - 6017, 3*c = -3*n + 18081. Let l = -2993 + c. Is l a prime number?
False
Suppose 6*w - 1721915 = 19*w. Is (-10)/7 + 2 + w/(-35) a composite number?
True
Suppose 4*h - 2*j = -h + 24937, -4*h + 4*j = -19952. Is h a composite number?
False
Is (-27)/(1620/105) + (1 - 1733661/(-12)) prime?
False
Is (166856*(-91)/14)/(-4) prime?
False
Let z(g) = g**3 + 2*g**2 - 16*g - 303. Is z(16) a prime number?
True
Suppose -1560804 - 3566726 = -95*m. Is m a composite number?
True
Suppose d - 6*d + 10 = -2*q, d = -2*q - 10. Is (-71284)/q - 12/(-60) a prime number?
False
Suppose 4*q + x = 81, -4*q = -6*x + 4*x - 78. Suppose 0 = q*w - 21*w + 2. Suppose -w*n + 4*n - 3*o = 3082, -5*n - 5*o = -7655. Is n composite?
True
Let w(i) = 2904*i + 165. Let z be w(31). Suppose -14*t - 3*x - z = -18*t, -5 = -x. Is t a prime number?
False
Suppose 4*x - 69*x = 78*x - 43299971. Is x a prime number?
False
Suppose 28*u - 4169293 + 1471540 - 3909883 = 0. Is u prime?
False
Let c(z) = 20638*z - 625. Is c(29) composite?
True
Let w = -159 + 69. Let q = w - -88. Is q/(-8 + 22) + 8366/7 prime?
False
Suppose 0 = 12*o + 3*o - 5203 + 1318. Is o composite?
True
Suppose 0 = -4*a - 16, 3*y - a - 4*a = 4658. Let c = y + -575. Is c composite?
False
Suppose q = -6*u + 547452, -4*u = -2*q - 147952 - 217032. Is u composite?
False
Let j = 120 + 228. Let r = 1849 - j. Is r a composite number?
True
Suppose 7 = -12*h + 31. Suppose 0 = -4*q + 3*k + 13679, -4*k + h*k = -4*q + 13678. Is q prime?
False
Is (-452)/(-12)*45505/(-38)*(-18)/15 a composite number?
True
Let j = 32125 - 21806. Is j a prime number?
False
Let h = 129 - 29. Suppose 839 = a + h. Is a a composite number?
False
Let w = -48927 + 378418. Is w a prime number?
False
Let t = 219995 + -83184. Is t prime?
True
Suppose -3*a + 47 - 170 = -n, -4*a - 164 = -2*n. Let q = a - -822. Is q prime?
False
Let u(z) = -162*z**3 + 6*z**2 - 31. Is u(-22) composite?
True
Let v be ((-826)/5)/(13/325). Suppose 11*j - 58429 - 8748 = 0. Let p = j + v. Is p a composite number?
True
Let b be 7*(-2 + (-12)/(-7)). Is b/((-24)/18369) - (-1)/4 a composite number?
False
Let o = -40245 + 24039. Let c be (-1 + (-1 - -14))/((-148)/o). Suppose -2*v + c = 2*u, -5*v + 2632 = -v + 5*u. Is v composite?
False
Suppose 10*h = -6*h - 632064. Is 17/85 + h/(-5) composite?
False
Let j(t) = -388*t - 4 - 2 - 1 + 393*t. Let u be j(5). Let o = 395 - u. Is o a prime number?
False
Let j = 14907 + -613. Let m = -9925 + j. Is m prime?
False
Suppose 34*f + 90 = 39*f. Suppose 81*c = f*c + 143577. Is c prime?
False
Suppose -l - 3*l = -0*l. Suppose j = - | {
"pile_set_name": "DM Mathematics"
} |
*2)*(s - s + 2*s**3) + 0*s**2 - 2*s**5 + 0*s**2.
5*s**5
Expand (4 - 1 - 2)*(3 - 3 + 2*c**4) - c**4 + 4*c**4 + c**4 - c**4 + 3*c**4 - 4*c**4.
4*c**4
Expand (4*u + 2*u**2 - 4*u)*(-22 + 2*u + 22)*(3*u**2 - 3*u + 3*u).
12*u**5
Expand (0*t + 0*t - 2*t**4)*(3 - 4 + 2) + (3 - 3 - 2)*(0*t**4 + t**4 + 0*t**4).
-4*t**4
Expand (-v - 3*v + v)*(9*v**2 - 4*v**4 - 9*v**2) + v**4 - 2*v**2 - 2*v**4 + v**5 + 3*v**4.
13*v**5 + 2*v**4 - 2*v**2
Expand (-t + 1 - 1)*(-6*t**2 + 2*t**2 + 3*t**2)*(7*t + 2*t - 4*t).
5*t**4
Expand a + a - 5*a - 5*a + 2*a + a + (2*a + a - 4*a)*(1 - 5 + 3) + (-2 - 3 + 4)*(3*a + 0*a - 4*a).
-3*a
Expand (3*i**4 - 2*i**4 - 6*i**4)*(4*i - 5*i + 4*i).
-15*i**5
Expand (-15*j + 6*j**4 + 15*j)*(3 + 1 - 2) + (j + 5*j**2 - 4*j - 4*j**2)*(-3*j**2 + j**2 + 0*j**2).
10*j**4 + 6*j**3
Expand (-w**2 + 1 - 1)*(2 - 2 - 1)*(2*w - w - 2*w) + (2*w - 3*w + 5*w)*(-1 + w**2 + 1).
3*w**3
Expand (26*v**2 - 26*v**2 + 13*v**4)*(-1 + 1 + v)*(-1 - 2 + 1)*(5 + 0 - 3).
-52*v**5
Expand (-3*h**2 + 4 - 4)*(-5 + 2*h - 3*h + 8) + (-4*h + 0*h + 3*h)*(-h**2 + h**2 - h**2).
4*h**3 - 9*h**2
Expand (5 - 1 - 2)*(-3 + q**2 - 3*q**2 + q**2).
-2*q**2 - 6
Expand -u**3 + 5*u**3 + 4*u**3 + (u - u - 3*u)*(4*u**2 - 3*u**2 - 2*u**2).
11*u**3
Expand -a**3 + 2*a - 2*a + (1 - 7 + 2)*(a**3 - 3*a**3 + 0*a**3) + 9*a**3 - a**3 + a**3.
16*a**3
Expand (-f + 2*f**3 + f)*(6 + f - 6) + 73*f**2 + 11*f**4 - 73*f**2.
13*f**4
Expand (m - 2*m - 11*m)*(-m**2 - 4*m**2 + m**2).
48*m**3
Expand 4*r**2 - 3*r**2 - 3*r**2 + (17 - 8 - 10)*(2*r**2 - 4*r**2 - r**2).
r**2
Expand (0 - 5 + 3)*(u**2 - 5*u**2 + 5*u**2) + 4*u - 4*u + 2 + u**2.
-u**2 + 2
Expand (-21 + 21 + 2*j**2 + 2*j)*(4 + 0 - 3).
2*j**2 + 2*j
Expand (o + 0*o + 7*o)*(-o**4 + 3*o**4 - 3*o**4).
-8*o**5
Expand (-c**5 + c**5 - 3*c**5 + 4*c**2 - 4*c**2 - 2*c**5 + (0 + 0 - c)*(2*c**4 + c**4 - c**4))*(-5 + 5 - 4).
28*c**5
Expand (-8*s**2 + 5*s**2 + 3 + 4)*(0*s + s**2 + 0*s).
-3*s**4 + 7*s**2
Expand 2*h + 0*h - h**3 - h - 6*h**3 + 10*h**3 + 0*h**3 + (2*h**3 - 4*h**3 + h**3)*(-2 + 1 - 1).
5*h**3 + h
Expand ((-3*q + 2*q + 2*q)*(1 + 1 - 4) + 3*q - q - q)*(7 - 7 + 16).
-16*q
Expand (-2*y**2 + 2*y**2 + y**3)*(2 + y - 2) + 4*y**4 + y**4 - 2*y**4.
4*y**4
Expand (r**2 - r**2 + 2*r**2)*(4566*r**2 - 4566*r**2 + 76*r**3).
152*r**5
Expand (3 - 3 - 2*z)*(-14 + 77 - 7).
-112*z
Expand (-1 - p**2 + 1)*(2 - 30*p - 4 + 21*p).
9*p**3 + 2*p**2
Expand 23*c - 23*c - 4*c**2 + (-3 + 2 + 2)*(c**2 + 4 - 4) - c**2 + 0*c**2 + 3*c**2 + 3*c + 3*c**2 - 3*c.
2*c**2
Expand (0 + 0 + 2*g)*(-6*g**2 + g**2 + 4*g**2) + (-g**3 + 2 - 2)*(-1 + 4 - 2).
-3*g**3
Expand (0*m + 3*m - 4*m)*(-4*m + 3*m + 0*m) + 62 + 8*m**2 - 62.
9*m**2
Expand (v**2 + 0 + 0)*(v + v - 3*v) + v**3 - 3*v**3 + 4*v**3 + v**3 + 2*v**2 - 2*v**2.
2*v**3
Expand ((-3*s + 4*s + 4*s)*(s**2 - 2*s**2 + 0*s**2) + s**3 - 3*s**3 + s**3)*(-3*s + s + s).
6*s**4
Expand -3*w**5 + 0*w**5 + 0*w**5 + (6*w**5 - 4*w**5 - 3*w**5)*(8 - 1 - 2).
-8*w**5
Expand (3*g - 3*g + 2*g**3)*(-3*g**2 + g**2 - 2*g**2) - g**5 - 7*g**3 + 7*g**3.
-9*g**5
Expand 3 - 3 - d + (-3 + 1 - 4)*(0 + 0 - d) + 0 + 6*d + 0 - 2*d + 3*d - 2*d.
10*d
Expand (-11*j - 20*j + 21*j)*(2*j**4 + 3*j**4 - 6*j**4).
10*j**5
Expand (3 - 2 - 5)*(2*g + 0*g - g).
-4*g
Expand -3*k + k + k + (-2 + 2 + 2*k)*(1 - 6 - 1).
-13*k
Expand (4 - 2 - 1)*(-2*f**2 + 2*f**2 - 2*f**2 + (1 + 5 - 2)*(4*f - 4*f - f**2)).
-6*f**2
Expand 0*o**5 - 3*o**5 - o**5 + (2*o - o - 3*o)*(-2*o**4 - 4*o**4 + 5*o**4).
-2*o**5
Expand ((-1 + 4 - 2)*(0*z + 3*z - 5*z) - z + 3*z - z)*(-4*z**2 - 2*z**2 + 0*z**2).
6*z**3
Expand -2*a**4 + a**4 + 4*a**4 + (0*a + 5*a**3 + 0*a)*(3 - a - 3).
-2*a**4
Expand (3*r**2 + r**2 - 5*r**2)*(2*r**3 + 4*r**3 - 5*r**3 + (11 - r - 11)*(0 + 2*r**2 + 0)).
r**5
Expand (0*t**2 + 3*t**2 - t**2)*(-3*t + t + 3*t) - 4*t**3 - 3*t + 3*t - t.
-2*t**3 - t
Expand (2*t**3 - 2*t**4 + 4 - 4)*(0*t - 3*t + 7*t).
-8*t**5 + 8*t**4
Expand (-1 + 4 - 1)*(0*q - 3*q - 3*q)*(-2 + q**2 + 2).
-12*q**3
Expand 2 + 2 - 8 - 6*x - x + 2*x - 3*x + 0*x + x - 3*x + (1 + 2 - 2)*(-3*x + 3*x - 2*x) - 2*x - 2*x + 3*x.
-13*x - 4
Expand (-5 + 2 + 1)*(-5 + 6 + 8*l + 0).
-16*l - 2
Expand (a + 3*a - 6*a)*(4 + 0 - 6) - 4*a + 2*a + a - a + 5*a + 2*a + 0 + 0 - 4*a.
5*a
Expand 1 + 2*c**4 - 1 + 5*c**4 + c**4 - 4*c**4 + (0*c**3 + 3*c**3 - 2*c**3)*(6*c - 4*c - 3*c) + 4*c**4 + 2*c**4 - 4*c**4.
5*c**4
Expand -u + 6*u - 4*u + (0*u - u + 3*u)*(2 - 1 + 0) + u - 4*u + 4*u - 2 + 2*u + 2 + 0*u - 2*u + 0*u + 3*u - u + 1 - 4*u.
2*u + 1
Expand (-173*z + 2 + 380*z - 181*z)*(z**4 + 0*z**4 - 2*z**4) - z**4 + 2*z**5 + z**4.
-24*z**5 - 2*z**4
Expand (-1 + 1 + k)*(-9 - k + 9)*(-2 + 3 - 3).
2*k**2
Expand (-10*c**2 + 53*c - 53*c)*(2*c - 3 + 3) - 4*c + 2*c**3 + 4*c + (2*c**2 + 2 - 2)*(-c - c + 0*c) - c**3 + 3*c**3 - c**3.
-21*c**3
Expand b**3 + 5*b**3 - 23*b**3 + 4*b**3 - 4*b**3 + b**3 + (2*b - b - 3*b)*(b**2 + 2*b**2 - b**2).
-20*b**3
Expand (0 - 4*l**2 + 0)*(-4*l - 5 + 10 - 4).
16*l**3 - 4*l**2
Expand (4*v**2 - 2*v**2 - 3*v**2)*(v**2 - 2*v - 7*v**2 + 2*v**2)*(0 + 1 + 1).
8*v**4 + 4*v**3
Expand (-3*y - y + y)*(3*y - 4*y - y) + y - y**2 - y.
5*y**2
Expand -4 + 4 - 2*k**3 + (-1 + 3 - 3)*(4*k**3 - 3*k**3 + 0*k**3) - 3 + 3 + k**3 + (k**3 - k**2 + k**2)*(-2 - 2 + 2).
-4*k**3
Expand 3*y**4 - 6*y**4 + y**4 + (2*y**3 + y**3 - y**3)*(-y + 0*y + 0*y) - 6*y**4 - 19*y**4 + 0*y**4.
-29*y**4
Expand (19*h - 18*h - 3 - 1)*(0*h + 0*h + h).
h**2 - 4*h
Expand (-n - 3*n + 5*n)*(2 - 3 - 1)*(-4*n + 10*n + 3*n).
-18*n**2
Expand 5*g**2 - 2*g**2 - g**2 + (g**2 + 0 + 0)*(3 - 4 - 2).
-g**2
Expand (-24*c + 22 - 22)*(-2*c - 2 + 2).
48*c**2
Expand (0 - 1 + 2)*(3 - 5 + 0)*(2 + 3*b - 1 + 6*b).
-18*b - 2
Expand -2*c**5 + 2*c**3 - 2*c**3 + (-3*c**4 + 2*c**4 - c**4)*(c + c - 1 - 1).
-6*c**5 + 4*c**4
Expand (-3*l**2 - 2*l**2 + 3*l**2)*(-7 - 8 + 17)*(-3 - 4 + 5).
8*l**2
Expand 4*q**4 + 3 - 3 + (0*q - 2*q**4 + 0*q)*(2 + 0 + 1).
-2*q**4
Expand (-2*r + 5*r - 5*r)*(-2*r + 0*r + 3*r) + 119*r - 65*r - 23*r**2 - 54*r.
-25*r**2
Expand (1 + 2*l - 2*l**2 - 1)*(2*l - 3*l + 0*l).
2*l**3 - 2*l**2
Expand (-2*i - 4*i + 5*i)*(2*i + 4*i - 4*i)*(4 + 0 - 1).
-6*i**2
Expand (4 - 4 + 2*h)*(-2*h**4 + 2 - 2 + (3*h - h - 5*h)*(2*h**3 + 0*h**3 + 3*h**3)).
-34*h**5
Expand (-2*h + 3*h + h)*(-10*h**2 - 5*h + 7*h**2 + 2*h**2).
-2*h**3 - 10*h**2
Expand (-7*b**2 + 20*b**2 - 3*b**2)*(b + 2*b**3 - b).
20*b**5
Expand (-174*c - 2 + 173*c + 5*c**2 - 3*c**2)*(-c**2 + c**2 + c**2).
2*c**4 - c**3 - 2*c**2
Expand (-1 + 1 - s**2)*((2 - s - 2)*(-s - 3*s + 2*s) + 3*s - 3*s - s**2 - 4*s**2 - 1 + 1).
3*s**4
Expand (0 + 0 - 2*t)*(4*t**2 - 2*t**2 + 0*t**2)*(-2*t**2 - t**2 + 2*t**2).
4*t**5
Expand (r - 3*r + r)*(-1 + 5 - 2) + 7*r - 11*r - 4*r - 3*r + 4*r + r - 4*r + 4*r - 2*r + (2 - 1 + 1)*(0 - 2*r + 0).
-14*r
Expand (-5 + 5 + 2*m)*(-1 + 1 - 1)*(-m + m + 2*m).
-4*m**2
Expand -m**4 - 3*m**4 - 1 + 7*m**4 + (5*m**2 - m**2 - 2*m**2)*(-3 - 2*m**2 + 3).
-m**4 - 1
Expand (21 - 17 - 5*d + 2*d)*(-6 + 1 + 3)*(-4 - 1 + 3)*(4*d - 4*d - 2*d).
24*d**2 - 32*d
Expand (r + 5 - 5)*(r + 2 - 2) + (-2 + 2*r + 2)*(2*r + 0*r + 0*r).
5*r**2
Expand 4*x**3 + 0*x**3 - 2*x**3 + (2*x - 5*x + 2*x)*(x**2 + 0*x + 0*x) - 3 + 3 - x**3 + 0*x**3 + 0*x**3 + 3*x**3.
3*x**3
Expand (5*l**2 - l**2 - 5*l**2)*(3*l - l - 3*l) + 5*l**2 + l**3 - 5*l**2 - l**3 - 3 - 2 + 3*l**3.
4*l**3 - 5
Expand ((-2 - 4 + 3)*(-4*s + 2*s + 3*s) - 2 + 2 - s)*(2*s + 6 + 5 + 0*s).
-8*s**2 - 44*s
Expand 0 + m**3 + 0 + 2*m**2 - 2*m**2 + m**3 - 2*m**3 - 2*m**2 + 2*m**2 + (-5*m**2 + 2*m**2 + m**2)*(-4*m + 3*m - m).
4*m**3
Expand (-4 + 6 + 0)*(s - 15*s - 4*s).
-36*s
Expand (2 + 2 - 8)*(3 + 1 - 3)*(-3*m**2 - 8 + 8).
12*m**2
Expand (-2*x**2 + 2 - 2)*(4*x**3 + 0*x**3 - 3*x**3) + x**3 + x**5 - x**3 + 4 + 0 + 0*x**5 + 4*x**5.
3*x**5 + 4
Expand (-2 + 3 + 1)*(1 + 2 - 1)*(g + 0 + 0).
4*g
Expand (0*g + 87*g + 18*g)*(-2*g + 2*g + 2*g).
210*g**2
Expand (-k**2 - 2*k**2 + 4*k**2)*(-5 - 4*k - 3*k + 11*k).
4*k**3 - 5*k**2
Expand 3*s + 2*s**2 - 3*s + (6*s - 2*s + 0*s)*((3 + 1 - 2)*(-s - 3*s + 3*s) + 3*s + 0 + 0).
6*s**2
Expand (-1 + 0 + 0)*(-k - k - k**2 + 4*k + (-3 + k + 3)*(k + k - 5*k)).
4*k**2 - 2*k
Expand (3*k**2 - 4*k**2 - 6*k**2)*(-1 + 1 - 1)*(0 + 0 - k**3).
-7*k**5
Expand (7 - 7 - j)*(j + 1 + 0*j**2 - 2*j**2 - 3*j).
2*j**3 + 2*j**2 - j
Expand (0 - 1 + 0)*(-2*v + 3*v - 2*v)*(-v**2 + 5*v**2 + 0*v**2).
4*v**3
Expand (0*s + 0*s - 2*s)*(0*s | {
"pile_set_name": "DM Mathematics"
} |
h) be the second derivative of -h**4/6 - 9*h**2 - 64*h. Let f(p) = p**2. What is b(f(i))?
-2*i**4 - 18
Let k(b) = -1792*b + 2. Let z(x) = -4*x + 8. Calculate z(k(y)).
7168*y
Let a(r) = -322*r. Let g(x) = x + 1. Let h(n) = -2*n - 1. Let u(q) = -2*g(q) - 2*h(q). Calculate a(u(o)).
-644*o
Let h(y) = -97*y**2 + 30*y**2 + 62*y**2. Let t(q) = 76*q. Determine t(h(p)).
-380*p**2
Let i(g) = -2*g**2. Let c be 0/(-2 + 36/12). Let j(p) be the first derivative of 0*p + c*p**2 + 8 + 7/3*p**3. Determine j(i(d)).
28*d**4
Let g(z) be the second derivative of -z**3/3 + 23*z. Let d(q) = -228*q. What is d(g(v))?
456*v
Let n(t) = -2155772*t. Let w(z) = 3*z**2. Calculate w(n(o)).
13942058747952*o**2
Let g(b) = 2*b**2. Let x(o) = -13*o**2 - 50*o**2 - 38*o**2. Calculate g(x(u)).
20402*u**4
Let a(h) = 4*h. Let i(r) = r**2 - 3166*r - 10. Determine a(i(y)).
4*y**2 - 12664*y - 40
Let u(f) = 7732*f**2 - 15463*f**2 + 7732*f**2. Let i(j) = 766*j**2. Calculate u(i(o)).
586756*o**4
Let t(b) = 11*b - b - 4*b. Let u(o) = -7*o. What is t(u(h))?
-42*h
Let j(x) = -4*x + 1. Let z(d) be the first derivative of -4*d**2 + 121. What is z(j(w))?
32*w - 8
Let i(a) = -66*a**2. Let k(c) = -568*c. Calculate i(k(r)).
-21293184*r**2
Let j(i) = i + 20. Let t be j(-18). Let k(z) = 5*z**2 + 35 - z**t - 35. Let y(x) = 8*x. Calculate y(k(d)).
32*d**2
Let x(l) = 0*l + 0*l + 2*l. Let n = -65 + 111. Let v(b) = 33*b - n*b + 0 + 0. Calculate x(v(w)).
-26*w
Let t(m) be the second derivative of -m**5/60 + m**4/24 - 29*m**3/6 + m. Let p(c) be the second derivative of t(c). Let w(g) = g**2. Determine w(p(i)).
4*i**2 - 4*i + 1
Suppose -9*a + 109 = -8*a. Let o(z) = -a + 15*z + 109. Let q(y) = -2*y**2. What is q(o(n))?
-450*n**2
Let k(g) = -2*g. Suppose 0 = 5*x - 7*n + 5*n - 14, -18 = -5*x + 4*n. Let b(y) = 279*y - 279*y + 0*y**2 + y**x. Determine k(b(c)).
-2*c**2
Let y(x) = -4*x - 9. Let u be y(-5). Let b(m) = 1 + 8*m**2 - u*m**2 - 1. Let v(h) = 15*h**2. What is b(v(r))?
-675*r**4
Let g(z) = 652582*z**2. Let m(c) = -c**2. Give g(m(s)).
652582*s**4
Let c(p) = -448808*p. Let o(l) = 9*l**2. What is o(c(y))?
1812857587776*y**2
Let j(c) = 39*c - 123*c + 46*c + 35*c. Let k(d) be the second derivative of d**4/4 + d. Calculate j(k(l)).
-9*l**2
Let c(j) = 14607*j. Let g(u) = 17*u. Determine g(c(k)).
248319*k
Let w(n) = n. Let l(p) be the first derivative of -2*p**3/3 + 305*p + 794. Calculate w(l(v)).
-2*v**2 + 305
Let l(s) be the second derivative of -91*s**4/12 + s**2/2 - 6*s + 1. Let v(z) = -2*z. Determine l(v(c)).
-364*c**2 + 1
Let h(z) be the third derivative of 19*z**5/12 + 32*z**2 - 2*z. Let d(k) = -4*k. What is h(d(m))?
1520*m**2
Let g(i) be the first derivative of -2*i**3/3 - 92. Let u(s) = s**2. Give u(g(z)).
4*z**4
Let f(g) = -323*g - 11. Let u(b) = 8*b - 3. What is u(f(x))?
-2584*x - 91
Let y(l) = 16*l**2. Let d(n) = -5128*n. Calculate y(d(f)).
420742144*f**2
Let t(x) = 297468*x. Let c(j) = -2*j**2. Determine c(t(w)).
-176974422048*w**2
Let v(b) be the third derivative of -b**6/180 + 22*b**3/3 - 11*b**2. Let n(o) be the first derivative of v(o). Let u(s) = 30*s. Give n(u(m)).
-1800*m**2
Let g(z) = -5*z**2. Suppose 0 = 4*r - 121 - 183. Let x(c) = -36*c - 38*c + r*c. Calculate x(g(t)).
-10*t**2
Let k(c) = -4*c**2 + 10*c**2 - 5*c**2. Let n(w) = 11*w + 8*w - 20*w. Give k(n(l)).
l**2
Let v(d) = d**3 - 14*d**2 - 14*d + 15. Let q be v(15). Let w(o) = -2*o**2 + 30*o - q*o. Let l(r) = 2*r**2. Calculate l(w(h)).
8*h**4
Let t(j) = -4*j**2. Let z(m) = -1 + 44*m - 26*m - 24*m. Determine z(t(h)).
24*h**2 - 1
Let z(o) be the first derivative of 5*o**3/3 + 321. Let l(i) = 5*i. Let c(d) = 11*d. Let k(u) = 6*c(u) - 13*l(u). What is z(k(p))?
5*p**2
Let i(t) = 49*t - 2. Let v(p) = -556*p**2. Determine i(v(q)).
-27244*q**2 - 2
Let n(p) = 4*p. Let q(d) = 258*d - 2. Determine q(n(o)).
1032*o - 2
Let d(b) be the third derivative of -b**4/24 - 131*b**2. Let j(x) = -12*x - 1. Give j(d(y)).
12*y - 1
Let p(u) = 2*u**2. Let a(y) = -51*y**3 + 3*y**2 + 2*y - 1. Let i be a(-2). Let j(w) = -415 + i - 14*w. Give j(p(s)).
-28*s**2
Suppose -2*g = -g - 1. Let b be (-4)/1*g/(-2). Let i(f) = -21 + 21 + f**b. Let u(m) = 5*m**2. Give u(i(y)).
5*y**4
Let z(b) = 2*b**2 - 2*b - 2. Let i = 17 + -20. Let l(d) = -2*d**2 + 3*d + 3. Let h(w) = i*z(w) - 2*l(w). Let o(x) = -6*x**2. What is o(h(r))?
-24*r**4
Let u(c) = -13*c**2 - 4*c + 4. Let r(y) = -39*y**2 - 13*y + 13. Let h(s) = -4*r(s) + 13*u(s). Let b(d) = -3 - 8*d**2 + 6*d**2 + 3. Give h(b(o)).
-52*o**4
Let m(z) be the first derivative of -2*z**3/3 + 574. Let s(l) = -l. Let f(j) = 7*j. Let r(y) = -f(y) + 2*s(y). What is m(r(k))?
-162*k**2
Let t(i) = -2*i**2. Let m(x) = 153024*x. What is m(t(g))?
-306048*g**2
Let i(h) be the third derivative of 7*h**4/12 + 455*h**2. Let p(n) = n**2 - 79. Determine i(p(v)).
14*v**2 - 1106
Let i(u) = -12*u**2. Let a(t) = t**2 + 8*t - 1256. What is a(i(g))?
144*g**4 - 96*g**2 - 1256
Let x(c) = 32*c**2 + 40. Let m(i) = -11*i**2 - 12. Let w(g) = 10*m(g) + 3*x(g). Let u(b) = -38*b. Calculate u(w(z)).
532*z**2
Let b(g) = -6*g**2. Suppose -4*l - 8 = 2*o, -3*o - 4*l = -18 + 26. Let q(d) be the second derivative of -11*d + o*d**2 + 0 - 1/6*d**3. What is b(q(a))?
-6*a**2
Let n(a) = 161*a. Let j(m) = -6*m + 172. Give n(j(d)).
-966*d + 27692
Let j(f) = 50*f. Let r(n) be the second derivative of -n**3/3 - 44*n - 2. Calculate r(j(k)).
-100*k
Let s(w) = -2*w**2. Suppose 3*o - 30 = -5*m, -109*m - 35 = -114*m - 2*o. Let n(k) be the first derivative of 0*k + m + 1/2*k**2. Give s(n(q)).
-2*q**2
Let p(v) = -7*v - 580. Let z(j) = 10*j**2 - 5*j. Give p(z(l)).
-70*l**2 + 35*l - 580
Suppose 163 = -6*y + 877. Let t(b) = -31*b**2 + y*b**2 - 57*b**2. Let r(c) = -c. Give r(t(s)).
-31*s**2
Let t be 3/1*1 + -9 + 6. Let i(l) be the third derivative of 4*l**2 - 1/60*l**5 + 0*l**4 + 0*l**3 + 0*l + t. Let m(c) = -2*c. Give i(m(d)).
-4*d**2
Let l(n) = -n**2. Let z(g) = 20*g + 30. Suppose 0*t - t - 3*b - 39 = 0, -3*b = 9. Let q(x) = -1. Let i(a) = t*q(a) - z(a). Determine i(l(r)).
20*r**2
Let t(y) = 39*y**2 + y - 174. Let h(i) = 2*i. Give t(h(j)).
156*j**2 + 2*j - 174
Let b(h) = -270*h. Let m(r) = -44*r + 9. What is m(b(f))?
11880*f + 9
Let m(x) be the third derivative of 0*x**3 + x**2 + 0 - 1/24*x**4 + 0*x. Let v(b) be the second derivative of 5*b**4/12 + 134*b + 2. Give v(m(p)).
5*p**2
Let u(y) be the third derivative of -y**5/120 - 2*y**3/3 + 7*y**2. Let x(h) be the first derivative of u(h). Let g(i) = 6*i - 3*i**2 - 6*i. Calculate g(x(v)).
-3*v**2
Let n(t) = 58*t**2 - 2. Let h(q) = -q. Calculate n(h(s)).
58*s**2 - 2
Let n(i) = 2*i - 3. Let o(a) = -6*a + 10. Let c = 47 - 44. Let j(u) = c*o(u) + 10*n(u). Let b(x) = -5 + 5 - 2*x. Calculate j(b(f)).
-4*f
Let q(d) = -121*d**2 + 1. Let u(i) = 5*i - 4. Determine q(u(p)).
-3025*p**2 + 4840*p - 1935
Let k(l) be the first derivative of 70*l**2 - 2*l + 296. Let g(i) = 2*i. Give k(g(z)).
280*z - 2
Let u(k) = -29*k. Let n(m) be the first derivative of 2/3*m**3 + 0*m + 0*m**2 - 15. Calculate u(n(p)).
-58*p**2
Let q(r) be the third derivative of -r**5/30 - r**2. Let s(o) be the third derivative of -13*o**4/12 + o**2 - 81*o. Determine s(q(v)).
52*v**2
Let a(t) = t - 6. Let u(r) = -4657*r. What is a(u(o))?
-4657*o - 6
Let b(a) = 215*a. Let f(p) = -3371*p. Determine f(b(h)).
-724765*h
Let z(s) = 20*s**2. Let u(k) = -k + 2. Let d(q) = 3*q - 4. Let l(w) = -d(w) - 2*u(w). Give l(z(f)).
-20*f**2
Let x(s) = -33*s. Suppose -4*g + 15 + 9 = 4*i, 0 = 2*i - g. Let b(l) = i*l**2 - 174 + 174. What is x(b(a))?
-66*a**2
Let x(y) = -3*y**2 - y**2 - 10*y**2. Let u(i) = -6*i**2 - 84*i + 6. Let t(k) = 11*k**2 + 140*k - 10. Let f(v) = -3*t(v) - 5*u(v). What is f(x(c))?
-588*c**4
Let a(x) be the second derivative of -x**4/4 + 13*x**2/2 + 140*x. Let z(p) be the third derivative of -p**4/24 + 2*p**2. Calculate z(a(s)).
3*s**2 - 13
Let r(y) = -y**2. Let h(g) be the third derivative of 145*g**4/24 + 55*g**3/6 + 13*g**2. Let o(v) = 8*v + 3. Let p(i) = -6*h(i) + 110*o(i). Calculate r(p(k)).
-100*k**2
Let t be -2*(221/(-2) + -3). Let y(g) = g - t + 227. Let o(r) = -r + 1. Let l(a) = 9*a**2 + 18*a - 18. Let j(b) = -3*l(b) - 54*o(b). Calculate y(j(c)).
-27*c**2
Let f(h) be the second derivative of -29*h**4/6 + 55*h - 3. Let u(a) = a**2 - a. Let s(r) = 8*r**2 - 10*r. Let i(c) = s(c) - 10*u(c). | {
"pile_set_name": "DM Mathematics"
} |
Let j be 7 - (4 + 60/(-8))*-2*15. Which is smaller: j or -112?
-112
Let j = -345 - 8. Let a = j - -335. Which is smaller: a or -118/7?
a
Let r be 0 - -1 - (-847)/(-28). Let a = -1/1695 - -110177/3390. Let z = a + r. Is z equal to 2?
False
Let h(f) = f**3 - 3*f**2 + f - 5. Let i(o) = -6*o - 1. Let c be i(-1). Let k be h(c). Let n = k - 67. Is n > -18?
True
Let k be (-19 + 1)*74/(-148). Let m be (-2360)/(-60)*(k/(-6) + 0). Which is bigger: 0.01 or m?
0.01
Let w be (28/(-528))/((-3)/24). Let c = w + -301/165. Is -2 at least c?
False
Let q = -22 - -41. Let o = 7800.03 - 7800. Which is smaller: o or q?
o
Suppose 5*b - 3334 + 134 = 0. Suppose -4*s + 224 = -b. Is 214 < s?
True
Let a = 4924 - 4922. Which is smaller: a or 86/57?
86/57
Let c = -43.36 - -15.36. Which is greater: c or 1.07?
1.07
Let q = 18485 - 18472. Which is smaller: q or -239?
-239
Let c(u) = -6798*u - 275. Let s be c(-1). Is s bigger than 6524?
False
Suppose -3*j = -4*y + 73, 5*y + 0*j + j = 77. Let q(b) = -8*b + 9. Let t(c) = 15*c - 18. Let p(m) = -11*q(m) - 6*t(m). Let f be p(-4). Is f > y?
True
Let h be 27/(-2) + (-20)/40. Let w be 7/(h/(-260)) + 3. Let a be 38/w - (-220)/14. Is a at least as big as 15?
True
Let k be (-18069)/30 + 18/60. Let v be (-4 - 210/(-49)) + 176/k. Which is smaller: v or 1?
v
Let f = -14942 - -432298/29. Is -34 <= f?
False
Suppose -2*x + 5*v + 7208 = -3*x, -5*x - 5*v - 36040 = 0. Which is greater: -7209 or x?
x
Let h be (-978)/16*((-4708)/(-132) - 35). Suppose 0 = -5*t - 25, f + 50 = -0*f - 2*t. Which is smaller: f or h?
h
Let i = 2.08 + -1.987. Let l = i + 6.907. Is l < 1?
False
Let l be (-1)/(2*(-7)/42). Suppose 3*u - 159 = 3*k, 0 = -l*u + 2*u. Which is greater: k or -160/3?
k
Suppose -75*g + 82*g = 0. Suppose 5*p - 292 - 203 = 0. Let w be 3/12 + p/(-492). Does w = g?
False
Let z be ((-35)/(-15) - 2)/((-4)/3852). Let j = 421 + z. Is 100 less than j?
False
Let r(l) = -37*l**3 + 2*l**2 + 7*l + 10. Let j be r(-2). Suppose 0 = -86*v + 71*v - j. Is -12 greater than v?
True
Suppose -9732 = -4*a + 2*b, -2*b = 4*a - 10595 + 879. Is 4863/2 not equal to a?
True
Let y = 2.1 - 0.3. Let h = 1.6 - y. Let a = 783 - 792. Is a less than h?
True
Suppose 5*g - 75 + 30 = 0. Let a be 2 - (-33)/(-121) - -7. Do a and g have the same value?
False
Let p = -0.099 + 85.099. Let c = 5.607 - 5.907. Is p greater than c?
True
Let z = 2723 + -10891/4. Let u be 1 - -18*(-2)/4. Which is greater: u or z?
z
Let b be ((-146)/(-219))/(6/400). Is 45 >= b?
True
Let r = 105.36352 + -0.03352. Let j = r - 105. Let i = -5.33 + j. Do 3 and i have the same value?
False
Let i = 0.86 + 96.14. Let c = -183 + i. Let g = c - -60. Is 0 > g?
True
Suppose 35*w - 101 + 1288 = -563. Are -8 and w non-equal?
True
Let k be (-27 - 0) + (-21)/((-273)/(-52)). Suppose 203 = 5*b + 3*v - 0*v, -4*b = 4*v - 164. Let s = k + b. Do 2/13 and s have different values?
True
Suppose -94279 = 56*d - 55*d. Let f = -469398/5 - d. Let g = -380 + f. Is g greater than 19?
True
Let o = 866 + -865.8. Let h = 2.8 + o. Is h > -0.124?
True
Let j = -5 + 3. Suppose -9*d = -3*n - 6*d - 1755, -4*n = -5*d + 2344. Let o = n - -572. Is o not equal to j?
True
Let k = -57 - -41. Let h(c) = -4*c**3 + 5*c**2 - 2*c + 2. Suppose -27 = -3*v - 21. Let f be h(v). Do f and k have different values?
True
Suppose -34*p - 108 = 22*p - 20*p. Which is smaller: 4.35 or p?
p
Let b be 36/31*8967/(-854). Which is greater: b or -1?
-1
Let k = -1057 - -1878. Let g = 744 - k. Which is smaller: -80 or g?
-80
Let i(w) = 84*w**2 - 9*w - 13. Let m be i(10). Suppose -m = 8*a + 2711. Let s be a/72 - 1/(-9). Is s at least as big as 1?
False
Suppose 4*z + 1118 = 6*z. Suppose 5*s - 41 = z. Suppose q = 11*q - s. Which is greater: q or 11?
q
Let f be (1 + 2 + -4)*(-4)/830. Let j = 2893/2490 + f. Let w = 3 - 1. Is w > j?
True
Let w(o) = -o**2. Let j be w(1). Let i = -121 + 117. Let h be (-2 + 12/10)*(-10)/i. Which is bigger: h or j?
j
Suppose -4*z + 5*i = -2285, -4*z - 3*i = -i - 2306. Suppose -8*g + 13*g - z = 0. Which is bigger: g or 114?
g
Let t = 13010 - 14950. Are -1939 and t nonequal?
True
Suppose -5*o + 2*g + 103935 = 0, 461*g + 20809 = o + 465*g. Which is smaller: 20790 or o?
o
Let j be 340 - 331 - 2282/((-4)/(-2)). Which is smaller: j or -1134?
-1134
Let z be (29193/558)/(2 - 1). Let x = -17/93 - z. Let m = 50 + x. Is m > -4?
True
Let h be 83/(-1909)*(-20)/(-14) - (-4)/(-7). Which is smaller: 0 or h?
h
Let d(u) = -2*u**3 + 167*u**2 - 58*u - 2180. Let q be d(83). Is -113 > q?
False
Let a be ((-193)/(-9))/((-21996)/(-2106)). Is a >= 2?
True
Suppose 0 = h - 26 + 32. Let m be ((-2)/7)/(h/168). Let x be 2/m*180/75. Is -1.3 at least x?
False
Let w = 130 - 250. Let a = w - -217. Which is smaller: a or 0?
0
Let i be 30500/(-8) - (5 + 56/(-16)). Is -11443/3 at most as big as i?
True
Let a(x) be the first derivative of 3*x**2/2 - 30*x + 56. Let s be a(11). Suppose -5*z + 24 = -z. Are s and z equal?
False
Suppose -2*u = -7*u + 15, -3*v - 4*u + 66 = 0. Let t be v/26*5/15. Which is bigger: t or 8?
8
Suppose 0 = -59*i + 93*i - 1972. Is 49 > i?
False
Let c = 2694 - 1877. Let g = c + -573. Which is smaller: -1/2 or g?
-1/2
Let w = 0.0591 + 0.0409. Are w and -3348 unequal?
True
Let u = -540 + 557. Suppose 55 = 5*t + 4*i + 6, t = i + u. Which is smaller: t or 24?
t
Let h = 716 - 715.946. Which is bigger: h or 1?
1
Let r(k) = -2*k + 8. Let x be r(4). Let s = 564.7 - 560.1. Are x and s equal?
False
Let l(q) = 29*q + 314. Let w be (-66)/(-3)*(-7 - 104/(-16)). Let j be l(w). Are j and -43/8 equal?
False
Suppose -2*k = -3*y - k - 17, 3*k - 31 = 4*y. Let m be ((2/y*0)/1)/2. Let c be 7/(-1)*10/(-130). Which is greater: m or c?
c
Suppose 50 = 2*q + 5*r, -4*r = -3*q + 5 + 93. Suppose -5*z = -q + 45. Are -25/16 and z equal?
False
Let k = -40 - -288. Suppose -16*i + 12*i = 4*m - 200, -k = -5*m - 4*i. Which is bigger: m or 0?
m
Let v(p) be the first derivative of 17*p**2/2 - 144*p - 177. Let r be v(13). Do 80 and r have different values?
True
Suppose 5947 - 2507 = -40*s. Which is smaller: -77 or s?
s
Let c = 3 - 3. Suppose 5*j - j = -3*m + 16, c = -5*j - m + 20. Let o be (-2440)/10575 - j/(-18). Which is smaller: 0 or o?
o
Let x(d) = -d**3 + 11*d**2 + 6*d - 34. Let m be x(10). Let h be 8/36 - (0 - (-172)/m). Let q(l) = 6*l + 22. Let b be q(-4). Which is bigger: h or b?
h
Let s = -6.9327 - -6.387. Which is smaller: -1 or s?
-1
Let d be (98/36)/(-7)*((-11134)/855 - -13). Which is bigger: -1/7 or d?
d
Suppose 2 = 2*p + 2*n, 3*p = -n + 5 - 0. Suppose -g + 26 = p*g - 4*h, 0 = 3*g + 3*h - 12. Let m = -11 + g. Is m >= 1?
False
Let i(r) = -7*r + 26. Let w(x) = 8*x - 25. Let y(f) = -6*i(f) - 5*w(f). Let z be y(18). Suppose 2*h - 2*t - 6 = 0, -z = -4*t - t. Is h at most 0?
False
Let a = -4882 - -4886. Is 660/127 < a?
False
Suppose -5*z + z = 0. Let w be 3/73*((-98)/7 + 16). Which is smaller: w or z?
z
Let i be (169 - 174) + 1 + (0 + 2)/1. Let f = 0 - 10. Let z = f - -5. Is i greater than z?
True
Let p = 0.33 + 1.37. Let c = p + -1.6. Let d = 1/478 + -1921/4302. Which is smaller: c or d?
d
Let c be (22 - 23)*(-2 + 2). Let g be (-24)/(-16) - (c - 3/(-6)). Which is greater: 2 or g?
2
Let b be (867/(-204))/(6/(-8)). Let v be ((-28)/8)/(2/(-4)). Let p(l) = -l**2 + 8*l - 1. Let w be p(v). Is w > b?
True
Let y be (10 - 3) + -7 - 0. Suppose -6*k = -k - 2*j + 227, y = 2*k - 5*j + 74. Does k = -47?
True
Let b = 1697 - 6885/4. Let o = 902 - 927. Which is smaller: o or b?
o
Suppose 47*p + 82 = -24*p - 11*p. Is 1/16111 at most p?
False
Let v be (352 + -351)/(0 + (-2)/1030). Which is bigger: -513 or v?
-513
Let n be -1 - 1/1 - (-11 - -1). Suppose h + 3 = 0, 0*s + n = s - 2*h. Suppose s*a - 4*p = -7*p - 6, 0 = -a + 3*p + 6. Which is bigger: 2/27 or a?
2/27
Suppose 2*w + 4*p - 94 = 0, -36*p + 12 = -40*p. Which is greater: 48 or w?
w
Let r = 0.6 - -19.4. Let w = 0.81 - -114.89. Let m = -116.7 + w. Which is smaller: m or r?
m
Let o = 9 + -4. Let d = 12309/5 + -208893/85. Is o >= d?
True
Let w = 302.7 - 291.71. Which is bigger: 8 or w?
w
Suppose 0 = -5*u + 3*v + 116, -9*v + 37 = u - 5*v. Suppose 31 = 5*d - 4*q, -3*d + q + u = -3*q. Are d and 40/11 nonequal?
True
Let q = 1.31 - 1.98. Let v = -0.533 + 0.063. Let j = q - v. Which is smaller: j or -20?
-20
Suppose -434 = -8*u - 1666. Let c be 3/(-4)*-2 + 229/u. Is 1 greater than | {
"pile_set_name": "DM Mathematics"
} |
st to 32.53? (a) -0.2 (b) 0 (c) -1/2
b
What is the closest to -1 in 9, -0.8, 5, -1?
-1
Which is the nearest to 2? (a) -2/3 (b) -140/9 (c) -5/3
a
What is the nearest to 3/8 in 1/3, 3, 0.3?
1/3
What is the nearest to -0.2 in -9, 4, -3?
-3
Which is the closest to 0? (a) -5 (b) -1/8 (c) -0.05 (d) 2/7
c
What is the closest to 0.1 in 3, 1, 0.041, -6?
0.041
What is the closest to 2 in -0.33, 0.3, -3, 2/21?
0.3
Which is the nearest to 2? (a) -1 (b) -1/15 (c) 4 (d) -170
c
What is the nearest to 2 in 2/19, 2/9, 8?
2/9
Which is the nearest to -1? (a) -1/4 (b) 3 (c) 2 (d) 0.03
a
What is the closest to -1 in 0.1, 2, -2/9, 3?
-2/9
What is the nearest to -4 in -4, -2, -3/4?
-4
Which is the nearest to 0? (a) -0.4 (b) -1.1 (c) -5 (d) -0.1
d
What is the closest to -2 in 0, 1/40, 1/3?
0
Which is the closest to 0? (a) -3 (b) 15 (c) 2
c
What is the nearest to -9 in -2/5, 2, -58/9?
-58/9
What is the nearest to -3.4 in 6/5, 1/2, -5?
-5
Which is the nearest to 0? (a) -0.3 (b) 4.5 (c) -3
a
What is the nearest to -5 in 0, -2, -1.3?
-2
What is the nearest to -1/11 in -2.9, 0.4, 1/4?
1/4
What is the closest to -11 in 4, 7, 1/4, -1/8?
-1/8
Which is the closest to -0.1? (a) 1/2 (b) 2/7 (c) -7 (d) -3
b
Which is the closest to -3/5? (a) -2 (b) 2/5 (c) 2
b
Which is the nearest to 8? (a) -2/5 (b) -4 (c) -0.05
c
Which is the closest to -0.09? (a) -0.08 (b) 4 (c) 3/5
a
What is the closest to -1 in -0.4, -3/7, 4, -9/2?
-3/7
What is the closest to -3 in -10, -0.4, 5, -2/7?
-0.4
Which is the nearest to 0.1? (a) -0.5 (b) -2/11 (c) 0.6 (d) 1/4
d
What is the closest to -95 in 3, -3, 1, 0.5?
-3
What is the nearest to 1 in 2, -3.7, -1/5?
2
What is the closest to -2 in 342, -2, -0.1, -2/3?
-2
What is the closest to 3.5 in 8, 5, -5?
5
What is the closest to 1 in 0.1, -0.01, -13, 2/5?
2/5
Which is the nearest to 0? (a) -9 (b) 1 (c) -2/21 (d) -0.1
c
What is the nearest to -26 in -3, 4/3, -2/13?
-3
Which is the nearest to -131? (a) -0.06 (b) 2/3 (c) -0.5 (d) -3
d
What is the nearest to -1 in -33, -2, -0.1, 5?
-0.1
What is the closest to 1/3 in -0.4, -2/9, -249/7?
-2/9
Which is the closest to -0.1? (a) -5 (b) 6 (c) -1/6
c
What is the nearest to -95 in 0.2, -1/3, -0.04, 0.5?
-1/3
Which is the nearest to -42? (a) -3 (b) 12 (c) 3
a
Which is the nearest to -29? (a) -3 (b) 28 (c) 3 (d) 2/11
a
Which is the closest to -0.3? (a) -4 (b) 3 (c) -3
c
What is the nearest to 0.1 in -5, 0.02, 0.5, -0.5?
0.02
What is the nearest to -2 in -0.51, 0.3, -1/4?
-0.51
Which is the closest to 1.4? (a) -1/8 (b) 2 (c) -0.05 (d) 8
b
What is the nearest to 0.1 in -7/22, 2, 0?
0
What is the nearest to -2 in 0.4, 5, -2/35?
-2/35
What is the closest to 2 in -1/5, 103, -0.4?
-1/5
What is the closest to 1 in 0.5, -3/151, 0.1?
0.5
What is the nearest to -0.021 in -4, -8, -1, 1?
-1
Which is the closest to -1? (a) 5/3 (b) -2/9 (c) -3 (d) -1/10
b
Which is the nearest to -111? (a) 0.5 (b) -3/2 (c) 13
b
What is the closest to -2/9 in 1/19, 2/3, 1, -2/19?
-2/19
What is the closest to -1/7 in 1, -1/3, -0.1?
-0.1
What is the closest to 0.1 in 0.06, 5, -4?
0.06
Which is the nearest to 1/3? (a) -3/4 (b) 2 (c) -3
a
What is the closest to 2 in 1/2, 0.4, 7, 5?
1/2
What is the closest to -1/3 in 1, 0, 30, 5?
0
Which is the nearest to 0.17? (a) 0.4 (b) 29 (c) -5 (d) 1/6
d
Which is the nearest to -0.1? (a) -102.3 (b) 0 (c) 4/5
b
Which is the nearest to 1? (a) -4/5 (b) 1/5 (c) -1/4 (d) 0
b
Which is the closest to -0.1? (a) 4 (b) 16 (c) 4/7 (d) 14
c
Which is the nearest to 6? (a) -0.2 (b) 1.7 (c) -1 (d) 0.2
b
What is the closest to 0.1 in -3, 1/2, -2/9, 2?
-2/9
What is the closest to -1 in -0.4, 637, 5?
-0.4
What is the nearest to -4 in -2/23, -1, 3/5?
-1
Which is the closest to -1/2? (a) -0.4 (b) 5 (c) 2/3 (d) -12
a
What is the nearest to 0 in 4, -3, -2, -1/5?
-1/5
Which is the nearest to -3? (a) 0.3 (b) -4866 (c) -3
c
What is the nearest to 145 in 5, 0.2, -2/13, -0.2?
5
Which is the closest to -0.16? (a) -0.1 (b) -3/5 (c) 0.1 (d) -5
a
What is the nearest to -0.1 in -1/3, -0.2, 0.1, -26?
-0.2
Which is the nearest to 0.1? (a) -1/2 (b) -18 (c) 4
a
What is the closest to 1 in 1/5, -5, -3/8, 2/17?
1/5
What is the closest to 71 in -1/2, 5, 2/7?
5
Which is the nearest to 0.1? (a) -3 (b) -2.3 (c) -2/7 (d) -0.9
c
What is the nearest to -1 in 1/11, 0.5, -0.1, -5?
-0.1
What is the nearest to 0 in 0.063, 0, -9, 1?
0
What is the nearest to 4 in -2, 2, -1/5?
2
Which is the closest to -1/2? (a) -2/19 (b) 3 (c) -346 (d) 0.4
a
What is the closest to -0.2 in -2/3, -2, -0.02?
-0.02
What is the closest to -6 in -6, 1, -2?
-6
What is the closest to -1/2 in 3, -0.2, 17, -1?
-0.2
What is the closest to 0.1 in -4, -3/5, -4/7, -2/5?
-2/5
Which is the closest to 2? (a) -2 (b) -3 (c) 10 (d) 3/2
d
Which is the closest to -1? (a) 1 (b) 2/165 (c) -0.6
c
Which is the nearest to -3? (a) 9 (b) 2 (c) -1 (d) 1/2
c
Which is the closest to -1/4? (a) -16/7 (b) 1 (c) -5.1
b
What is the nearest to -1/4 in -1/2, 1, -9, -3?
-1/2
Which is the closest to -0.3? (a) 5 (b) -4 (c) 2/61 (d) -2
c
What is the closest to -0.1 in 5, -3, -8?
-3
What is the closest to 1/5 in 1/7, 0.06, 2, 0.3?
1/7
What is the nearest to -1 in 28, 1/4, -1?
-1
What is the nearest to 0 in -3/4, -0.2, -2/47, -3?
-2/47
What is the closest to -0.2 in 1/3, 2/27, 1/8?
2/27
Which is the nearest to -0.05? (a) 4 (b) -2 (c) 0.1
c
Which is the closest to 6? (a) 10 (b) -0.1 (c) 0.4
a
Which is the closest to 2/7? (a) 0.1 (b) 2/13 (c) -1/4 (d) 4
b
Which is the closest to -0.05? (a) 3/4 (b) 1/6 (c) 4 (d) 1
b
What is the nearest to 0.2 in -14, -8, 0.4, 0.2?
0.2
Which is the nearest to 40? (a) 2 (b) -3 (c) -4 (d) 0.3
a
Which is the nearest to 1? (a) -5 (b) 0 (c) 1 (d) 3/5
c
Which is the closest to -1? (a) 1 (b) 167.2 (c) 3
a
Which is the closest to -2/11? (a) 5 (b) -2/21 (c) 1/6 (d) 0.5
b
What is the nearest to -5 in -0.3, -2/9, 4?
-0.3
Which is the nearest to -2/3? (a) -2/15 (b) 3/4 (c) -0.2
c
Which is the nearest to -2? (a) 0.2 (b) -3 (c) 2 (d) 1
b
What is the closest to 2/7 in 2, 0.5, -5, 2/27?
2/27
Which is the nearest to 3/2? (a) 4 (b) -22 (c) 1 (d) 3/5
c
Which is the closest to -12? (a) -1/7 (b) -1 (c) 0.2
b
Which is the nearest to 8? (a) 0.1 (b) 6 (c) -1 (d) 1/2
b
What is the closest to 28 in -1.6, 1, -4/9?
1
Which is the closest to 2? (a) -0.2 (b) -2 (c) -11/7
a
What is the closest to -12 in 0.2, 0, -5?
-5
What is the nearest to 0 in -3/2, -19, -3, -4?
-3/2
What is the nearest to -1/8 in -2/7, -0.04, -2.2, 4?
-0.04
What is the nearest to 0.09 in -2/9, 4, 1, -4?
-2/9
Which is the nearest to 0? (a) 2/17 (b) 0.11 (c) -0.1 (d) -7
c
What is the closest to 3 in -14, -5, 3/4?
3/4
What is the nearest to 22/5 in -14, 2, -1/5?
2
Which is the nearest to 1? (a) 1 (b) -0.04 (c) -4
a
Which is the closest to 1967? (a) -1 (b) 0 (c) 5
c
What is the nearest to -4 in 0.2, -1/7, -2/7, -3?
-3
What is the nearest to 1 in 3/7, 3, -4/9, 1.16?
1.16
Which is the nearest to -2? (a) 0 (b) -3/8 (c) 2 (d) -1
d
Which is the nearest to 1? (a) -0.2 (b) 2/9 (c) -1 (d) 5
b
What is the closest to -11 in -5, 1/8, 8?
-5
What is the nearest to 0 in 1/5, 1/3, -3?
1/5
What is the nearest to 1/7 in 2, -3, 1, -11?
1
Which is the closest to -2/3? (a) 2/3 (b) -8 (c) 4 (d) 7
a
Which is the closest to -1? (a) 5 (b) -0.19 (c) 2/7 (d) -2/13
b
What is the nearest to 0.1 in 2/9, 3/7, -14/9, -4?
2/9
Which is the closest to 0.6? (a) -4 (b) -2/7 (c) -10 (d) -0.2
d
Which is the nearest to -2/7? (a) -10 (b) -5/199 (c) -1/5
c
Which is the nearest to 14? (a) -5 (b) -0.3 (c) 0
c
Which is the closest to -1? (a) -7 (b) -9 (c) 0.2 (d) -0.4
d
Which is the closest to 1? (a) 0 (b) -94 (c) 4 (d) -0.9
a
What is the nearest to -8 in 5, -0.3, 1?
-0.3
Which is the closest to -0.1? (a) -2 (b) 347 (c) 1
c
Which is the nearest to -1? (a) -3 (b) -166 (c) -4 (d) -4/3
d
What is the nearest to -0.4 in 0.049, 4/3, 2/3, -1/3?
-1/3
Which is the nearest to 1/5? (a) 0 (b) 2/3 (c) -4
a
What is the closest to -1/4 in 8, -4/3, 2, 1?
-4/3
Which is the closest to -1/2? (a) 0.0482 (b) 0.2 (c) -0.1
c
What is the closest to 1/3 in 0.9, 0.06, 0?
0.06
Which is the cl | {
"pile_set_name": "DM Mathematics"
} |
b.
-386*b
What is the second derivative of 2503*l**4 - 2*l**3 - l - 5469 wrt l?
30036*l**2 - 12*l
What is the second derivative of -1017*n**3 - 2*n - 148?
-6102*n
What is the second derivative of 2*b*j**3 + 2*b*j - 26*b + 85*j**3 - 12*j**2 - 3*j - 11 wrt j?
12*b*j + 510*j - 24
Find the third derivative of -1363*h**2*m**3*q**3 + 2*h**2*m**3 + h**2*m**2 + 236*h*m**2*q**3 - h*m - m**2*q**3 wrt m.
-8178*h**2*q**3 + 12*h**2
Find the second derivative of 13731*p**2*v - p*v + 2987*p wrt p.
27462*v
What is the third derivative of -29*g**6 - 10*g**5*w**3 - 7*g**2*w**3 - 19*g**2 - 2*w**3 wrt g?
-3480*g**3 - 600*g**2*w**3
Find the second derivative of 284*a**2*m*w + 2*a**2*m + a*m - a + 4*m*w + 3*m wrt a.
568*m*w + 4*m
What is the third derivative of 176*r**5 + 2*r**3 - 1045*r**2?
10560*r**2 + 12
Find the second derivative of -1350*y**4 - 219*y - 2 wrt y.
-16200*y**2
Differentiate 18*r**4 - 1210 wrt r.
72*r**3
Differentiate 3*h**2*x**3 + h**2 + 242*h*x**3 + h + 2*x**2 + 607 wrt x.
9*h**2*x**2 + 726*h*x**2 + 4*x
Find the second derivative of 319*v**4 + 15*v wrt v.
3828*v**2
Find the second derivative of 1703*k**4 - 2*k**2 - 2*k - 8.
20436*k**2 - 4
Find the second derivative of -9088*j**2 + 3*j - 2103 wrt j.
-18176
Find the third derivative of -15*m**6 - 8*m**4 + 5*m**3 + 1705*m**2.
-1800*m**3 - 192*m + 30
Find the second derivative of -2*l**3*n**3*o + 7*l**3*n + l**3*o - 1063*l**2*n**2*o - 2*l**2*n*o + o wrt n.
-12*l**3*n*o - 2126*l**2*o
What is the third derivative of 2*g**2*x**3 + 4*g**2 + 248*g*x**5 + 307*x**2 wrt x?
12*g**2 + 14880*g*x**2
Find the second derivative of 3*a**2*c*x**3 + 101*a**2*c*x - 2*a**2*k*x**3 - 2*a*c*k*x + a*c*x - 58*a*k*x + a*k + 4*a*x**3 wrt a.
6*c*x**3 + 202*c*x - 4*k*x**3
Differentiate -3*h*n*r + 16*h*r**2 - 7*n*r**2 - 3*n wrt h.
-3*n*r + 16*r**2
Find the third derivative of -12*i**4*n - 13*i**3*n*q + 2*i**3 - i**2*n*q + 2*i**2*n - 11*i**2 - n*q + 8*n wrt i.
-288*i*n - 78*n*q + 12
What is the third derivative of -a**3*l**3 + a**3 - 25*a**2*l**2 + 2*a**2*l - 57*a*l**6 wrt l?
-6*a**3 - 6840*a*l**3
Find the second derivative of 1344*m**3*w + 2*m**3 - m*w + 10*m - 17*w wrt m.
8064*m*w + 12*m
What is the third derivative of -395*d**3 - 2*d**2 - 41*d wrt d?
-2370
Differentiate 8*b*g + 4*b*n + 2*b*o - 170*g*n - 3*g*o + 2*n*o + 2*o + 2 wrt n.
4*b - 170*g + 2*o
What is the first derivative of 2*b**3*i*t + 32*b**3*t + 31*b*i*t wrt i?
2*b**3*t + 31*b*t
What is the third derivative of -a**3*p*v**3 + 250*a**3*v**3 + a**3*v + 2*a**2*p*v**3 + 138*a**2*p*v**2 - a*p*v + 11*v**3 wrt a?
-6*p*v**3 + 1500*v**3 + 6*v
Find the first derivative of -m**3*q - 2*m**3 - 2*m**2*q**2 + 2*m**2 - 50*m*q**2 + 1095*m wrt q.
-m**3 - 4*m**2*q - 100*m*q
What is the first derivative of 465*d**3*h**2*r - 5*d**2*h**2*r + 11*h**2*r - 59*h**2 + r wrt d?
1395*d**2*h**2*r - 10*d*h**2*r
Find the second derivative of 1720*f**4*i - f**3*i - 10432*f*i - 2*f wrt f.
20640*f**2*i - 6*f*i
Differentiate -735*d**2*f**3*n - 3*d**2*f**3 + 3*d**2*f**2*n - d**2*f**2 - 95*d*f**3 - f**3 with respect to n.
-735*d**2*f**3 + 3*d**2*f**2
What is the second derivative of 5*h*k*z + h*k - 2*h*z**3 + 28*h*z**2 - 21*h*z + 2*k*z**2 wrt z?
-12*h*z + 56*h + 4*k
What is the second derivative of h**3*l**2*s**2 - 2*h**3*l**2*s + 43*h**2*s - 2*h*l**2*s + 3*h - 19*l**2*s**2 - 3*l*s**2 wrt s?
2*h**3*l**2 - 38*l**2 - 6*l
What is the second derivative of 25*h*p**2 + 14*h*p + 9*p**2 - p wrt p?
50*h + 18
Find the third derivative of 260*u**3 + 183*u**2.
1560
What is the third derivative of 2*f**3*h**3*m*s - 9*f**3*h**3 - f**3*s**2 - f**2*h**3*m*s**2 + f*h*s**2 + 9*h**3*m*s**2 wrt f?
12*h**3*m*s - 54*h**3 - 6*s**2
Find the second derivative of 3060*q**2 + 58*q + 7.
6120
What is the second derivative of -g*i**2*o*v + 2*g*i**2*o - 19*g*i**2 - g*v + 72*i*v + 3*o wrt i?
-2*g*o*v + 4*g*o - 38*g
Find the first derivative of -6*j**3*t - 2*j**3 - 2*j*n*t**2 + 5*j + 4*n*t**3 - 6*n wrt t.
-6*j**3 - 4*j*n*t + 12*n*t**2
What is the third derivative of -2*h**3*w - 2162*h**3 - 7859*h**2 + w wrt h?
-12*w - 12972
Find the third derivative of -1885*r**4 - 905*r**2 + r.
-45240*r
What is the derivative of 57*o - 126?
57
Find the first derivative of -473*d**3 + 2*d**2*l + l + 155 wrt d.
-1419*d**2 + 4*d*l
What is the derivative of 4*f**3*r + 31*f**3 - 2*f - 47*r**2 wrt r?
4*f**3 - 94*r
Find the third derivative of -8*f**4 - 141*f**3 - 137*f**2.
-192*f - 846
Find the first derivative of 3503*n**3 + n**2 + 18306 wrt n.
10509*n**2 + 2*n
Find the second derivative of -18*s**4 - 3*s**3 + 4*s - 46.
-216*s**2 - 18*s
What is the third derivative of 58*n**6 - 3*n**2 + 45 wrt n?
6960*n**3
Differentiate -14*o**4 + 26*o**3 + 924 with respect to o.
-56*o**3 + 78*o**2
What is the third derivative of -23362*x**6 + 1075*x**2 + 12?
-2803440*x**3
What is the second derivative of 6936*k**2 + 4175*k wrt k?
13872
What is the third derivative of 10*f*o*x**3 - 9*f*x**3 - 76*f + 6*o*x**3 - 7*o*x**2 + 4*o wrt x?
60*f*o - 54*f + 36*o
What is the first derivative of -50*h**3*n**2 - 449*h**3 + 2*h**2*n wrt n?
-100*h**3*n + 2*h**2
What is the third derivative of -33*g**5 - 2*g**3 - 312*g**2 wrt g?
-1980*g**2 - 12
Find the second derivative of -226*n**3 - 36*n.
-1356*n
Find the second derivative of -h**3*q*v + 4*h**3*q - 2*h**2*q*v - 2*h*q*v + 26*h*v - 2*q*v - 2 wrt h.
-6*h*q*v + 24*h*q - 4*q*v
What is the first derivative of 59*r**2*x**2 + 3863*r**2 - 53*r*x**2 - 2*r - 2 wrt x?
118*r**2*x - 106*r*x
Find the first derivative of -202*i**4 - 185 wrt i.
-808*i**3
Find the first derivative of 34*b*d**2*p + 3*b*d - 2*b*l*p - 897*b*l - 4*b + 3*d**2*l*p wrt d.
68*b*d*p + 3*b + 6*d*l*p
What is the second derivative of -121*l**4 - l**3 - 104*l wrt l?
-1452*l**2 - 6*l
What is the third derivative of -44*r**6 - 2*r**4 + 206*r**2?
-5280*r**3 - 48*r
What is the second derivative of -a*f**2 + 2*a + 12*f**4 + f**3 + 85*f wrt f?
-2*a + 144*f**2 + 6*f
What is the derivative of 4760*b**3 + 3116?
14280*b**2
Find the second derivative of 1790*z**4 + z**3 - 2*z - 1191 wrt z.
21480*z**2 + 6*z
Find the second derivative of -2198*b**3 + 12*b + 73.
-13188*b
What is the second derivative of -2*f**2*n**3 + 69*f**2*n**2*v**2 + 64*f*n**3*v**2 + 3*n**2*v**2 wrt f?
-4*n**3 + 138*n**2*v**2
Find the second derivative of 135*r**2 + 18*r - 7.
270
What is the derivative of -980*y - 1107 wrt y?
-980
Find the third derivative of -24*f**3*v**3 + 2*f**2*v - 2*f*v**3 - 26*f*v wrt f.
-144*v**3
Find the third derivative of -2*t**2*x**4 + 173*t**2 + 25*x**5 + 2*x**2 wrt x.
-48*t**2*x + 1500*x**2
What is the derivative of 2*i*x**3 - 3*i*x - 630*i + 6*x**3 wrt x?
6*i*x**2 - 3*i + 18*x**2
What is the third derivative of -2240*c*t**3 + 1908*c*t**2 - c - t**4 wrt t?
-13440*c - 24*t
What is the second derivative of -483*u**5 + 12990*u wrt u?
-9660*u**3
Find the first derivative of -814*q + 235 wrt q.
-814
What is the third derivative of 468*m**6 + m**3 - m**2 - 1471*m wrt m?
56160*m**3 + 6
Find the second derivative of 1781*x**5 + x**2 - 1317*x - 2.
35620*x**3 + 2
Differentiate 3*d**4 - 99*d + 247 with respect to d.
12*d**3 - 99
What is the first derivative of 1174*f**2*s**3 - 1317*f**2 wrt s?
3522*f**2*s**2
What is the third derivative of c**2*k**3*o**2 + 11*c**2*k**3 - 329*c**2*k**2*r - 2*c**2*o**2*r + 2*c*k*o**2 + k**3*o*r wrt k?
6*c**2*o**2 + 66*c**2 + 6*o*r
Find the second derivative of -6065*w**4 - 379*w + 1 wrt w.
-72780*w**2
Find the third derivative of 35*r**5 - 15*r**4 - 1230*r**2.
2100*r**2 - 360*r
What is the third derivative of -2*s*t**4 + 3*s*t**3 - 3*s*t**2 - 6*s*t - 8*t**4 + 5 wrt t?
-48*s*t + 18*s - 192*t
Differentiate -100*g - 261 with respect to g.
-100
Find the first derivative of -42*m**2*t*z - 5*m**2*z - 136*m*t*z**2 - 64*m*z**2 wrt t.
-42*m**2*z - 136*m*z**2
What is the derivative of -512*j*r*v**2 + 2*j*v**2 + r*v**2 + 1938*v**2 wrt j?
-512*r*v**2 + 2*v**2
Find the third derivative of -13*n**6 + n**4 - 106*n**3 + 314*n**2 + n - 2 wrt n.
-1560*n**3 + 24*n - 636
Find the second derivative of -1619*c**2*q**2 - 833*c*q**2 wrt c.
-3238*q**2
What is the third derivative of 120*h**3*p**2 - h**3 - 2*h**2*p**2 - 2*h*p**2 + 6*h wrt h?
720*p**2 - 6
Find the third derivative of -12*g**6*n**2 - 39*g**3*n**3 - 4*g**2 - g*n**3 - 4*n wrt g.
-1440*g**3*n**2 - 234*n**3
What is the derivative of -7 | {
"pile_set_name": "DM Mathematics"
} |
218 divided by -69
-3322
What is -10115 divided by 16?
-10115/16
What is 22792 divided by 7?
3256
715000 divided by -25
-28600
What is -4 divided by -3854?
2/1927
Calculate 87 divided by -1269.
-29/423
What is -40 divided by 4257?
-40/4257
Calculate 6267 divided by -2.
-6267/2
Divide -1856274 by -1158.
1603
Divide 175365 by 81.
2165
Divide -236418 by -5.
236418/5
Divide 438600 by 340.
1290
Divide 5000 by 91.
5000/91
1209654 divided by 57
21222
What is -504465 divided by -2587?
195
Calculate 505572 divided by -6.
-84262
7 divided by -24672
-7/24672
What is -11330 divided by 110?
-103
Calculate 50136 divided by 4.
12534
Calculate -1 divided by 11823.
-1/11823
65920 divided by -1648
-40
Divide 4203 by -3.
-1401
What is 3460860 divided by -3?
-1153620
Divide -2260 by -82.
1130/41
115204 divided by 694
166
Divide -8146280 by -4.
2036570
Calculate 575283 divided by -3.
-191761
-107762 divided by -107762
1
What is -132 divided by -89?
132/89
What is 152442 divided by 6?
25407
Calculate 2205 divided by 3.
735
Calculate 11 divided by 2354.
1/214
Divide 1985 by -397.
-5
387496 divided by -96874
-4
-2 divided by 2486
-1/1243
What is 12980 divided by 45?
2596/9
What is -2 divided by 21522?
-1/10761
-33 divided by -12838
33/12838
Divide 884580 by 176916.
5
121093 divided by -7
-17299
Calculate 7062 divided by -84.
-1177/14
-1273052 divided by 22
-57866
4549 divided by 128
4549/128
Divide 487370 by 598.
815
-152778 divided by 76389
-2
Calculate 376720 divided by -3.
-376720/3
What is 443118 divided by 437?
1014
What is -2576 divided by -7?
368
166336 divided by -16
-10396
Calculate -13 divided by -2572.
13/2572
Divide -332 by 4192.
-83/1048
What is -47 divided by 195?
-47/195
-1508878 divided by 215554
-7
Calculate 19 divided by 636.
19/636
Calculate -42204 divided by -14068.
3
Calculate -2 divided by 349810.
-1/174905
Divide -948882 by -66.
14377
Calculate 53355 divided by 10671.
5
What is -6366 divided by 3?
-2122
Divide -3659 by -16.
3659/16
Divide -16393 by -13.
1261
What is -180289 divided by 3?
-180289/3
Divide 8 by 7632.
1/954
64 divided by -65
-64/65
332 divided by 20
83/5
-18888 divided by -66
3148/11
Divide -1760 by -209.
160/19
Divide -6 by 471.
-2/157
-988920 divided by 369
-2680
-40880 divided by -73
560
Divide -457416 by 4.
-114354
Calculate -1630 divided by -90.
163/9
Calculate -26988 divided by 6.
-4498
What is 25420 divided by -6355?
-4
Calculate -274905 divided by 274905.
-1
Calculate -12045 divided by 5.
-2409
What is 5 divided by -20440?
-1/4088
Divide -2090013 by -6.
696671/2
Calculate 316274 divided by 41.
7714
Divide 142752 by 8922.
16
Divide 6960 by 290.
24
Calculate 2050867 divided by 403.
5089
Divide 26581 by 35.
26581/35
-165056 divided by 64
-2579
What is -32 divided by -328?
4/41
What is 42758 divided by 121?
42758/121
-1209 divided by 11
-1209/11
What is -172764 divided by -14397?
12
Calculate -104799 divided by -8.
104799/8
Divide 912729 by -3.
-304243
Calculate 287866 divided by 31.
9286
Divide -30538 by 15269.
-2
Divide 6 by -20178.
-1/3363
Divide 41 by 519.
41/519
What is 1447 divided by -25?
-1447/25
What is 676 divided by -84?
-169/21
4 divided by -30443
-4/30443
Calculate 1013621 divided by -7.
-144803
144884 divided by -4
-36221
-5 divided by 226539
-5/226539
Divide -1 by -103929.
1/103929
116909 divided by -2
-116909/2
161161 divided by -1001
-161
Calculate 5699 divided by -9.
-5699/9
-81411 divided by 3
-27137
Divide -2448593 by 7.
-349799
Calculate -23937 divided by 3.
-7979
570906 divided by 9062
63
Divide 685784 by -8.
-85723
What is -358455 divided by 15585?
-23
6 divided by 9429
2/3143
629596 divided by -28618
-22
Calculate 528 divided by -19.
-528/19
-3 divided by 29237
-3/29237
3171516 divided by 6
528586
Divide -82584 by 186.
-444
What is 4 divided by 182426?
2/91213
Divide 1193472 by -4144.
-288
-1620 divided by -217
1620/217
Divide -640550 by 557.
-1150
Calculate 34278 divided by 2.
17139
What is 22356 divided by 9?
2484
Divide -4379019 by 159.
-27541
Divide -54642 by 10.
-27321/5
Divide -4 by -20404.
1/5101
Divide -968 by -123.
968/123
Divide -40652 by 32.
-10163/8
-2779165 divided by -5
555833
Divide 35730 by -3970.
-9
Divide -140844 by 33.
-4268
-11 divided by -810
11/810
Divide 1945 by -156.
-1945/156
Divide 23114 by 13.
1778
What is -1610656 divided by -4?
402664
Divide 597720 by -74715.
-8
Calculate 172328 divided by -13.
-13256
Calculate 43869 divided by 7.
6267
-3363 divided by 59
-57
What is -4745 divided by 107?
-4745/107
What is 49 divided by -245?
-1/5
Calculate -36400 divided by -4550.
8
Calculate 1118 divided by 559.
2
97122 divided by 32374
3
Calculate -6 divided by 296.
-3/148
341172 divided by 27
12636
Divide 37653 by 489.
77
Calculate -9490 divided by 67.
-9490/67
Calculate -1970449 divided by 13.
-151573
1049 divided by 18
1049/18
150 divided by -22
-75/11
What is 159 divided by -1511?
-159/1511
Divide 271474 by 6.
135737/3
8355 divided by -1671
-5
Divide 56 by 2043.
56/2043
What is -222943 divided by -2?
222943/2
12408 divided by -132
-94
Divide -4 by -97776.
1/24444
What is -1090996 divided by 1090996?
-1
550 divided by 2
275
Divide 4 by -8725.
-4/8725
Divide -184800 by -6600.
28
12 divided by 113785
12/113785
65 divided by 1882
65/1882
0 divided by 49524
0
Divide -250425 by -21.
11925
26 divided by -602
-13/301
What is 9 divided by 74481?
3/24827
Calculate 28016 divided by 34.
824
Calculate 29 divided by 6181.
29/6181
Calculate 1 divided by 84299.
1/84299
Calculate 2622 divided by -15.
-874/5
What is 2380 divided by -501?
-2380/501
Calculate -290 divided by -11.
290/11
What is -64885 divided by 5?
-12977
What is 6473 divided by -505?
-6473/505
Divide -15560 by -778.
20
Divide 13475 by 539.
25
-72348 divided by 12058
-6
Divide -162748 by 29.
-5612
Calculate -2 divided by 91776.
-1/45888
What is 29777 divided by -6?
-29777/6
Calculate -10225 divided by -25.
409
-11806 divided by 29
-11806/29
Divide 445 by 4225.
89/845
Divide -19637 by -6.
19637/6
Divide 1213017 by -3.
-404339
Divide 30115 by -23.
-30115/23
What is 819312 divided by 31512?
26
-14930 divided by -10
1493
Divide 108087 by 45.
36029/15
What is -37347 divided by -1?
37347
What is 3 divided by -549627?
-1/183209
Divide 12 by -157402.
-6/78701
What is -1774596 divided by 591532?
-3
What is -78800 divided by -788?
100
Divide 7366 by -7.
-7366/7
Calculate -26381 divided by 25.
-26381/25
Calculate 618231 divided by -7.
-618231/7
What is 164 divided by 389?
164/389
325952 divided by 162976
2
Divide 53976 by -692.
-78
Calculate -475 divided by 9718.
-475/9718
0 divided by 75043
0
Calculate 134448 divided by -5602.
-24
Calculate 38 divided by -1335.
-38/1335
Divide -292 by 3596.
-73/899
What is -2594 divided by -13?
2594/13
Divide 75960 by -15192.
-5
Divide 19098 by -9549.
-2
What is 4 divided by -18772?
-1/4693
Calculate 1927 divided by 4.
1927/4
Calculate 5928 divided by -5.
-5928/5
Calculate -3454 divided by 2.
-1727
8367 divided by -5
-8367/5
What is 155155 divided by -5005?
-31
1768675 divided by 5
353735
247306 divided by 6
123653/3
What is 97685 divided by 7?
13955
-382968 divided by -127656
3
Calculate 7274277 divided by -6309.
-1153
Divide -35556 by 4.
-8889
What is -5 divided by 76768?
-5/76768
What is -13972 divided by 43?
-13972/43
Divide -16440 by -4.
4110
What is 4950 divided by -990?
-5
-42 divided by 13680
-7/2280
Divide 27550 by -50.
-551
Divide -24197 by 33.
-24197/33
Calculate 14 divided by -18414.
-7/9207
Calculate -65705 divided by -1.
65705
454420 divided by 5
90884
2155 divided by 688
2155/688
-1971035 divided by 5
-394207
What is -50496 divided by -64?
789
What is -101 divided by -26504?
101/26504
Calculate -314019 divided by -104673.
3
What is 69 divided by 7762?
69/7762
What is 73467 divided by -8163?
-9
Calculate 2685 divided by -16.
-2685/16
Divide 37 by 1516.
37/1516
2274096 divided by -758032
-3
Calculate 2208969 divided by -49.
-45081
24210 divided by -8070
-3
Calculate 383250 divided by -18250.
-21
Calculate 277232 divided by -69308.
-4
What is 18704 divided by -28?
-668
What is 421653 divided by -3?
-140551
What is 456984 divided by 20772?
22
Calculate 0 divided by -142431.
0
Calculate 1104 divided by 36.
92/3
297016 divided by -4
-74254
What is -1108 divided by 25?
-1108/25
Divide 2874 by 108.
479 | {
"pile_set_name": "DM Mathematics"
} |
on factor of 7290 and 9.
9
Calculate the highest common factor of 514 and 8.
2
What is the greatest common factor of 9217 and 65?
13
What is the greatest common divisor of 98 and 112?
14
Calculate the highest common divisor of 12 and 21.
3
What is the highest common factor of 11 and 5313?
11
Calculate the greatest common divisor of 583 and 13939.
53
What is the highest common factor of 135 and 15?
15
What is the highest common factor of 14 and 1953?
7
What is the highest common divisor of 432 and 112?
16
What is the highest common factor of 18234 and 36?
18
What is the greatest common factor of 2397 and 51?
51
Calculate the greatest common factor of 4488 and 102.
102
What is the greatest common divisor of 5751 and 71?
71
Calculate the greatest common divisor of 341 and 1240.
31
What is the highest common factor of 120 and 920?
40
Calculate the greatest common divisor of 840 and 50.
10
Calculate the greatest common divisor of 20 and 10.
10
Calculate the highest common divisor of 80 and 4720.
80
What is the greatest common divisor of 65 and 21515?
65
What is the highest common divisor of 10481 and 223?
223
What is the greatest common factor of 81 and 567?
81
What is the highest common factor of 316 and 4?
4
Calculate the highest common factor of 2678 and 338.
26
What is the highest common divisor of 8208 and 76?
76
Calculate the greatest common divisor of 273 and 126.
21
Calculate the greatest common divisor of 72 and 16.
8
What is the highest common factor of 42 and 4347?
21
Calculate the highest common divisor of 874 and 138.
46
Calculate the greatest common divisor of 17912 and 24.
8
What is the highest common divisor of 2448 and 391?
17
Calculate the greatest common factor of 1352 and 104.
104
Calculate the highest common factor of 567 and 243.
81
Calculate the greatest common divisor of 117 and 5811.
39
Calculate the greatest common divisor of 5 and 1.
1
What is the greatest common divisor of 1917 and 3408?
213
Calculate the greatest common factor of 82 and 3854.
82
What is the highest common factor of 12 and 3796?
4
Calculate the greatest common divisor of 40 and 224.
8
What is the greatest common factor of 3828 and 12?
12
What is the highest common divisor of 1256 and 471?
157
Calculate the greatest common divisor of 7 and 14.
7
What is the highest common factor of 6254 and 236?
118
Calculate the highest common divisor of 404 and 606.
202
Calculate the greatest common divisor of 53289 and 279.
279
Calculate the highest common divisor of 5508 and 864.
108
Calculate the greatest common divisor of 50 and 950.
50
Calculate the greatest common divisor of 170 and 85.
85
Calculate the greatest common divisor of 35 and 15.
5
Calculate the greatest common divisor of 4672 and 73.
73
What is the highest common divisor of 2981 and 22?
11
Calculate the highest common divisor of 10 and 270.
10
Calculate the highest common divisor of 456 and 72.
24
Calculate the highest common divisor of 723 and 11086.
241
What is the greatest common divisor of 50 and 245?
5
Calculate the greatest common divisor of 76 and 608.
76
What is the highest common divisor of 341 and 11?
11
What is the highest common factor of 272 and 153?
17
What is the greatest common factor of 3933 and 342?
171
What is the greatest common divisor of 15522 and 78?
78
Calculate the greatest common factor of 75 and 540.
15
What is the highest common divisor of 30 and 255?
15
Calculate the highest common factor of 64 and 2080.
32
Calculate the greatest common factor of 42 and 532.
14
Calculate the highest common factor of 12 and 948.
12
What is the highest common factor of 1615 and 437?
19
What is the highest common divisor of 297 and 5511?
33
What is the highest common divisor of 17 and 1054?
17
What is the greatest common factor of 376 and 8?
8
Calculate the highest common factor of 242 and 110.
22
Calculate the greatest common factor of 40 and 1910.
10
What is the highest common factor of 345 and 5?
5
Calculate the highest common divisor of 11 and 2959.
11
What is the highest common divisor of 166 and 31?
1
Calculate the highest common factor of 312 and 234.
78
What is the greatest common factor of 27 and 3?
3
What is the highest common factor of 15484 and 711?
79
Calculate the highest common divisor of 1480 and 4255.
185
What is the highest common factor of 4215 and 45?
15
What is the greatest common factor of 11 and 308?
11
What is the highest common factor of 285 and 35625?
285
Calculate the highest common factor of 988 and 52.
52
Calculate the greatest common divisor of 6804 and 70.
14
What is the greatest common divisor of 322 and 112?
14
Calculate the highest common divisor of 212 and 28037.
53
Calculate the highest common divisor of 24 and 93.
3
What is the greatest common factor of 48 and 7512?
24
Calculate the greatest common divisor of 18 and 2718.
18
What is the greatest common divisor of 270 and 42795?
135
What is the highest common divisor of 105 and 49?
7
What is the highest common divisor of 145 and 348?
29
Calculate the greatest common factor of 1 and 19.
1
What is the greatest common divisor of 87 and 145?
29
What is the highest common divisor of 2 and 34?
2
Calculate the highest common divisor of 75 and 120.
15
What is the greatest common divisor of 1219 and 46?
23
What is the highest common factor of 135 and 75?
15
What is the greatest common factor of 116 and 116?
116
Calculate the greatest common factor of 194 and 2813.
97
What is the greatest common divisor of 1573 and 847?
121
What is the greatest common divisor of 35 and 20?
5
Calculate the highest common factor of 9 and 288.
9
Calculate the greatest common divisor of 28 and 21.
7
Calculate the greatest common divisor of 4 and 9242.
2
What is the highest common divisor of 99 and 432?
9
Calculate the greatest common factor of 258 and 6751.
43
What is the highest common divisor of 1348 and 3707?
337
What is the highest common factor of 12 and 516?
12
What is the highest common factor of 1224 and 272?
136
What is the highest common divisor of 112 and 88?
8
What is the highest common factor of 238 and 204?
34
Calculate the highest common divisor of 3515 and 740.
185
Calculate the highest common divisor of 120 and 2280.
120
What is the greatest common divisor of 80 and 6690?
10
Calculate the greatest common divisor of 166 and 2.
2
What is the highest common divisor of 168 and 63?
21
What is the highest common factor of 891 and 2835?
81
Calculate the greatest common factor of 2664 and 18.
18
What is the highest common divisor of 12096 and 960?
192
What is the highest common factor of 242 and 4961?
121
Calculate the highest common divisor of 537 and 3.
3
Calculate the highest common divisor of 29 and 3103.
29
What is the greatest common divisor of 141 and 47?
47
Calculate the highest common divisor of 36 and 1926.
18
What is the greatest common factor of 12 and 2262?
6
What is the greatest common factor of 16 and 906?
2
What is the highest common factor of 120 and 5592?
24
Calculate the highest common factor of 3337 and 47.
47
What is the greatest common divisor of 27229 and 146?
73
What is the greatest common factor of 185 and 60?
5
Calculate the greatest common divisor of 9078 and 102.
102
What is the greatest common divisor of 49700 and 142?
142
Calculate the highest common factor of 360 and 80.
40
Calculate the highest common factor of 240 and 48.
48
What is the greatest common factor of 7 and 2?
1
Calculate the greatest common divisor of 34 and 1666.
34
Calculate the greatest common divisor of 250 and 30.
10
Calculate the greatest common factor of 1984 and 256.
64
What is the greatest common divisor of 13 and 4979?
13
Calculate the greatest common divisor of 160 and 4880.
80
What is the highest common divisor of 88 and 198?
22
What is the highest common divisor of 282 and 940?
94
Calculate the greatest common divisor of 66 and 12507.
33
What is the greatest common divisor of 155 and 5?
5
What is the greatest common divisor of 5609 and 142?
71
Calculate the highest common divisor of 480 and 3072.
96
What is the highest common divisor of 144 and 20?
4
Calculate the highest common divisor of 27 and 3375.
27
Calculate the highest common divisor of 778 and 2.
2
What is the highest common factor of 87 and 87?
87
Calculate | {
"pile_set_name": "DM Mathematics"
} |
- 4414 - 21*n**2 + 31*n wrt n?
-42
Let q(g) = g**3 - 16*g**2 - 13*g + 1. Let h be q(17). Suppose 0 = x - 428 + h. What is the second derivative of -351*j**4 + 3*j - j**3 + j**3 + x*j**4 wrt j?
96*j**2
Let w(z) be the second derivative of 5/3*z**3 + 0 + 0*z**2 + 2/5*z**5 - 3*z + 0*z**4. What is the second derivative of w(x) wrt x?
48*x
Let y(r) = 2*r**2 - r - 1. Let i(j) = j**3 + 87*j**2 - 366*j - 2. Let u(f) = -i(f) + 2*y(f). What is the second derivative of u(t) wrt t?
-6*t - 166
Suppose 10 + 11 = 3*j + 3*s, -2*s + 10 = j. What is the derivative of -2*r + 8*r - 10 - j wrt r?
6
Suppose 5*b - 5*n + 8 = 3*b, 4*b = -4*n + 40. Find the third derivative of s**b + s**2 + 0*s**6 + 0*s**2 + s**6 wrt s.
240*s**3
Let g(n) be the third derivative of -n**8/168 - n**7/5 - 21*n**4/8 - n**3/3 - 5*n**2 + 3. What is the second derivative of g(y) wrt y?
-40*y**3 - 504*y**2
Let b(l) = l**3 - 11*l**2 + 5. Let c(f) = 290*f**3 + 1 - 3*f**2 - 289*f**3 + 4*f**2. Let r(a) = b(a) - 5*c(a). What is the third derivative of r(j) wrt j?
-24
Let h(l) = l**3 - 10*l**2 + 9*l + 4. Let f be (-39)/(-13) + (-6)/(-1). Let y be h(f). What is the second derivative of 9*o + 80*o**2 - 80*o**2 + y*o**3 wrt o?
24*o
Let y(k) be the third derivative of -31*k**7/105 + 95*k**3/6 + 28*k**2 - 1. What is the first derivative of y(v) wrt v?
-248*v**3
Suppose 140 = w + 4*w. Let h(f) = 7*f - 35. Let s(k) be the first derivative of -k - 13. Let t(b) = w*s(b) - h(b). Differentiate t(d) wrt d.
-7
Suppose -7 + 19 = 4*o. Suppose -138 = -2*r - 5*v, -3*r + 165 = -0*r - o*v. Find the second derivative of -r + 59 - 2*w**4 - 5*w wrt w.
-24*w**2
Find the third derivative of -78*d**2 + 4*d**4 - 4*d**4 + 1505*d**5 - 1397*d**5 wrt d.
6480*d**2
Let d(v) be the second derivative of 81*v**7/14 + 7*v**4/3 - 496*v + 1. Find the third derivative of d(s) wrt s.
14580*s**2
Find the third derivative of -3*s + 339*s**6 + 79*s**2 - 95*s**6 - 5 + 5 - 95*s**2 wrt s.
29280*s**3
Let y(d) be the first derivative of -11/3*d**3 + 0*d**2 + 13 + 11/5*d**5 + 0*d + 0*d**4. Find the third derivative of y(f) wrt f.
264*f
Let j(t) = t**2 - t + 3. Let a(o) = -46*o**2 - 12*o + 92. Let h(g) = a(g) - 6*j(g). What is the first derivative of h(r) wrt r?
-104*r - 6
Let d(t) = -4*t**5 + 15*t - 7. Let c(h) = 4*h**5 - 16*h + 8. Let n(k) = 3*c(k) + 4*d(k). Let l(g) be the first derivative of n(g). Differentiate l(r) wrt r.
-80*r**3
Suppose 5*d + 2*v - 68 = -0*d, 4*d - v = 44. Suppose 5*k - d = k. Find the second derivative of -k*a + 4*a**5 - 2*a - 2*a wrt a.
80*a**3
Let v(o) = 129*o**4 - 2*o**3 - 33*o**2 - 4. Let q(x) = 131*x**4 - 2*x**3 - 31*x**2 - 4. Let p(a) = -6*q(a) + 5*v(a). Find the third derivative of p(f) wrt f.
-3384*f + 12
Let q(z) = z**2 + z - 6. Let w be q(-4). Find the second derivative of 13*m + 16*m**2 - 3*m**2 - w*m**2 - 5*m**2 wrt m.
4
Suppose 5*m - 2645 = 1645. What is the third derivative of -m*r - 47*r**2 + 858*r - 3*r**5 wrt r?
-180*r**2
Suppose -7*h + 11*h = 52. What is the second derivative of -h*u + 10*u**5 - 11*u**5 + u**5 + 3*u**5 wrt u?
60*u**3
Let q(d) = 265*d**3 - 10*d**2 - 5*d - 2. Let a(g) = 133*g**3 - 5*g**2 - 3*g - 2. Let k(r) = 5*a(r) - 3*q(r). What is the third derivative of k(o) wrt o?
-780
Suppose 66 = -4*h + 90. Let v be 6/21 - (-24)/14. What is the third derivative of -4*q**2 - h*q**2 - 2*q**v - 4*q**6 wrt q?
-480*q**3
Let k(a) = -3*a + 7. Let g be k(5). Let u = 12 + g. What is the second derivative of 11*x**4 - 2*x**4 + 2*x - 5*x**u wrt x?
48*x**2
Let q = 130 + -124. Let x(b) be the third derivative of 0*b**5 - 1/40*b**q + 0*b - b**2 + 0 + 0*b**4 - 1/2*b**3. What is the first derivative of x(l) wrt l?
-9*l**2
Let z(o) = -o**2 - 4*o + 5. Let r be (-342)/66 + 2/11. Let t be z(r). Find the third derivative of h**2 + 2*h**2 - 4*h**2 + t*h**2 - 7*h**5 wrt h.
-420*h**2
Suppose 0 = -4*i - i - 40. Let u = -6 - i. Differentiate 0 - u + 5*x - 2 with respect to x.
5
Suppose 4*g = -3*a + 5 + 4, -4*g + 8 = 4*a. Find the third derivative of 11*b**2 + 18*b**3 - 18*b**g - 2*b**5 - 2*b**5 wrt b.
-240*b**2
Let t(h) be the first derivative of 145*h**5 + 5*h**3/3 + 34*h + 443. Find the third derivative of t(n) wrt n.
17400*n
Let v(m) be the third derivative of 109*m**7/210 + 15*m**3 + 73*m**2 - 1. What is the first derivative of v(u) wrt u?
436*u**3
Let q = 58 - 55. Find the third derivative of 24*o**2 + 68*o**4 + 59*o**4 - 124*o**4 + o**q wrt o.
72*o + 6
Let m(t) be the first derivative of 311*t**4/4 + t**2/2 - 398*t - 245. What is the second derivative of m(k) wrt k?
1866*k
What is the first derivative of -124*s + 293 - 557*s + 476 wrt s?
-681
Let y(z) be the first derivative of -z**3/3 - 9*z**2/2 - 10*z + 3. Let o be y(-7). What is the third derivative of 2*f**2 - 2*f**6 - o*f**2 - 2*f**6 wrt f?
-480*f**3
Let i(g) be the third derivative of 11*g**8/336 + g**6/20 + 69*g**4/2 - 155*g**2. What is the second derivative of i(r) wrt r?
220*r**3 + 36*r
Let p(f) be the third derivative of 221*f**5/60 + 293*f**3/6 + 51*f**2. Differentiate p(z) with respect to z.
442*z
Suppose 29 = -6*r - 1. Let w be ((-1)/(-3))/(r/(-30)). Find the third derivative of w*h**3 - 2*h**4 - 2*h**3 + 0*h**3 - 5*h**2 wrt h.
-48*h
Let l(a) be the third derivative of -47*a**5/60 - 53*a**3/6 + 4*a**2. Differentiate l(u) with respect to u.
-94*u
Let f(o) be the first derivative of -91*o**4/2 + 12*o**3 + 2*o - 66. Find the third derivative of f(z) wrt z.
-1092
Let y(i) be the first derivative of 0*i**4 - 4/7*i**7 - 11/3*i**3 + 0*i + 0*i**5 + 0*i**2 + 0*i**6 + 17. What is the third derivative of y(q) wrt q?
-480*q**3
Suppose 2*m - 4 = 2*g - 8, -5*m + 3*g = 0. Suppose -5 = m*l - 14. Find the third derivative of -c**3 - l*c**2 - 10 + 18 - 8 wrt c.
-6
Differentiate 0 - 7 + 10*b**2 + 11 - 9 with respect to b.
20*b
Let g(z) = -2*z + 4. Let p be g(-4). Suppose 2*t + 2*o - p = 0, 0 = 2*t - 2*o - 2*o + 18. What is the first derivative of -t + 2 - 7*j**4 + 5 wrt j?
-28*j**3
Let o(f) be the third derivative of f**7/30 - f**6/40 + f**5/30 + 19*f**4/24 + 66*f**2 - 1. What is the third derivative of o(u) wrt u?
168*u - 18
Let j(s) = -12*s**2 - 191. Let u(q) = -q + 2. Let v(o) = -j(o) + 2*u(o). What is the second derivative of v(k) wrt k?
24
Let i(j) be the third derivative of -j**6/60 - 47*j**5/60 - 93*j**3 + 49*j**2. Differentiate i(g) wrt g.
-6*g**2 - 94*g
Let m(u) be the second derivative of 44*u**4 - 37*u**2/2 - 27*u + 4. What is the derivative of m(p) wrt p?
1056*p
What is the first derivative of -42*n**4 + 65 + 221 + 78*n**4 - 34*n**4 - 43*n**2 wrt n?
8*n**3 - 86*n
Let g(q) be the third derivative of q**5/20 - 11*q**4/12 - 499*q**3/6 - 255*q**2. Find the first derivative of g(v) wrt v.
6*v - 22
What is the derivative of -11 - 76 - 60*s - 79*s + 31*s wrt s?
-108
Suppose 0 = 50*i - 100 - 150. Let b(a) be the first derivative of -3/5*a**i + 0*a**2 + 9 + 0*a**4 - 2*a**3 + 0*a. What is the third derivative of b(c) wrt c?
-72*c
Let z(h) be the second derivative of 2*h**7/105 + 17*h**3/6 + 9*h**2/2 + 9*h. Let i(q) be the first derivative of z(q). Differentiate i(w) with respect to w.
16*w**3
Suppose 2*w + 20 = 3*w + 3*c, -53 = -4*w - 3*c. Find the third derivative of 20*o**2 - 3*o**2 + 89*o - 89*o - w*o**5 wrt o.
-660*o**2
Let u(r) = -51*r**2 - 35*r - 6. Let m(v) = 152*v**2 + 106*v + 17. Let w(p) = 6*m(p) + 17*u(p). What is the second derivative of w(i) wrt i?
90
Suppose -5*k - 2*v + 183 = 1031, -12 = 3*v. Let s be k/(-30) - 4/(-10). Find the third derivative of 4*m**2 - 7*m**2 + 13*m**2 - 13*m**s wrt m.
-1560*m**3
Let p(h) be the third derivative of -253*h**4/12 - 667*h**3/6 + 2*h**2 - 390. Find the first derivative of p(m) wrt m.
-506
Let s be (-1 - 3)*11/(-22). Suppose -s*d + 5 - 1 = 0. Differentiate -4 - 8*g**2 - 3*g**3 + 8*g**d wrt g.
-9*g**2
Let q be 8/24 + 13/(-3). Let f(g) = g**2 - 2*g - 5. Let s be f(q). Find the third derivative of -s*x**5 + 6*x**6 - 2*x**2 + 3*x**6 + 19*x**5 wrt x.
1080*x**3
Let y be (-2)/(-1)*(36/6 + -5). What is the second derivative of -j**y + 7 + 4014*j**3 - 4043*j**3 + j**2 - 2*j wrt j?
-174*j
Suppose 5*i + 1 = 11. Let b be (-4)/i*(-10)/4. What is the second derivative of 0*u + 0*u**4 + 2*u + 2*u**4 - b*u wrt u?
24*u**2
Let w(q) = q**4. Let h(o) be the first derivative of -4*o**5/5 - 9*o - 11. Let u(b) = -h(b) + 3*w(b). Differentiate u(i | {
"pile_set_name": "DM Mathematics"
} |
3*q - 730 = -733. Let y = 3.1 - 4.4. Which is the closest to q? (a) -4 (b) 0.4 (c) y
b
Let i = 7.11 + -7.31. Which is the nearest to 3/5? (a) -4 (b) i (c) 0
c
Let a = 1740 - 1739. What is the closest to a in -0.7, -2.2, 4/7?
4/7
Let i = 2/23 - -15/92. Which is the nearest to -49? (a) -0.5 (b) i (c) 0.2
a
Let w = -2 - -1. Let l = -553.136 + 550. Let j = l + 0.136. Which is the nearest to w? (a) -5 (b) j (c) -1/3
c
Let n = 9 - 9.3. Let f = 309 + -318. Which is the closest to 1? (a) f (b) n (c) 4
b
Let w = 248 - 245. What is the closest to 0 in 5, 1, w?
1
Let z = 22 - 21.88. Let y = -1.88 - z. Let v = -1 - -1.1. What is the closest to -3 in -0.5, y, v?
y
Let v = 315 + -314.005. Let j = 0.005 + v. What is the nearest to j in 3, 0.3, 0.4?
0.4
Let x = -4.77 - -5.97. Which is the closest to -3? (a) 2 (b) 0.1 (c) x
b
Let g = 1784.96 + -1785. Let t = 0.4 + 0.1. What is the nearest to 2/7 in g, t, -2?
t
Let o = 6.3 + -6. Let l be (-1)/3*(0 + -4 - (-118 - -108)). Which is the closest to -0.1? (a) 2 (b) l (c) o
c
Let v = 0.211 + 2.789. What is the closest to 2/7 in v, 1, -1?
1
Let y = 6032/7 - 862. Which is the closest to 1/3? (a) -2 (b) y (c) 3/10 (d) 2
c
Suppose 24 = -84*u + 76*u. What is the closest to u in 0.4, 2/17, 0.1?
0.1
Let t(h) = h**2 - h + 28. Let r be t(0). Let i be ((-2)/(-7) - 8/r)/2. Which is the nearest to 7/4? (a) -4 (b) i (c) -0.2
b
Let k(y) = -y**3 - 6*y**2 + 8*y + 9. Let w be k(-7). Suppose -7*n - 20 = -w*n. What is the closest to 1 in n, 3/8, -0.4?
3/8
Let q be 46/3*6/4. Let o = 21 - q. What is the nearest to -1/7 in 3/2, o, -0.5?
-0.5
Let s = -26 + -5. Let g = s + 30.6. What is the closest to g in 2/19, -5, 1/9?
2/19
Suppose 6*d + 4*d + 40 = 0. Suppose 0 = -h + 7 + 5. Let z = h + -11. What is the nearest to 2 in d, 1/4, z?
z
Let z(x) = 13*x**2 + 82*x + 27. Let i be z(-6). Let k = -4 - -3. Which is the closest to k? (a) -1/8 (b) -4 (c) i
a
Let d be (-71)/(-3124)*3*8/3. Which is the closest to -15? (a) 4/5 (b) d (c) -2
c
Let i = -13.29 - -0.29. Let w = i + 17. Which is the closest to -0.1? (a) -4 (b) w (c) -1/10
c
Let g = -0.36 - -1.06. Let i = g - 0.8. What is the nearest to 0 in -5, 6, i?
i
Let h(d) = 17*d - 1. Let k be h(3). Let i = k - 46. What is the closest to -0.1 in -4, i, -0.2?
-0.2
Let i = 254/7 - 3316/91. Let j = 0.1 - 0. Let y = -6668/11 - -606. Which is the closest to j? (a) 4 (b) y (c) i
c
Let j be (8/10*-1)/((-15)/75). Let s = -0.03 - -0.43. What is the nearest to -1 in s, 3, j?
s
Suppose -3*p + 15 + 3 = 0. Let j(t) = -2*t + 6. Let a be j(p). Let w = -1 - a. What is the closest to -2 in -2/9, w, -1/6?
-2/9
Let l = 529.6 + -530. Let c = 10 + -5. What is the closest to 0 in c, l, -0.1?
-0.1
Let p = -296.1 - -296. What is the nearest to 2 in -3, 1/4, p?
1/4
Let t = -19 + 38. Let m = t + -19. What is the nearest to m in -1/3, -2, 3/2?
-1/3
Let d = -65 - -104. Let n = d - 43. Let v be -2 - ((-38)/10 - -2). What is the nearest to 1/3 in 5/4, n, v?
v
Let x be (-2)/5 + 132/80. Let v = -21 - -20.7. What is the nearest to 1 in 1, v, x?
1
Let n = 15.7 + -11.7. What is the nearest to -2/9 in -0.4, -4, -3, n?
-0.4
Let r = -26.83 + 27. Let j = 69.07 - 69. Let m = j - r. What is the nearest to 0.3 in m, -1/4, -2/7?
m
Let g = 881 + -879. Which is the nearest to g? (a) -8 (b) 1/3 (c) -0.4
b
Let m(d) = d**2 + 4*d + 5. Let o be m(-2). Let l = 66 + -64. Which is the closest to 2/13? (a) l (b) -1/3 (c) o
b
Let b(i) = -2*i + 29. Let l be b(15). What is the closest to -2/3 in l, 2/13, -1/2?
-1/2
Let r = 3423/8 - 428. What is the nearest to -0.15 in -4/7, 0.5, r?
r
Let z = 0.467 - 0.867. What is the closest to 0 in -4, z, 2, 1.6?
z
Let q = 1945 + -5839/3. What is the closest to 5 in 1, -5, q?
1
Let z be 15/(10350/(-20))*(1 + -4). Which is the closest to 7? (a) z (b) -3 (c) 1/32
a
Let a = -0.24 - -0.34. Let y = -7 - -27/4. What is the nearest to a in y, 0.2, -6?
0.2
Let h = 0.209 + -0.409. Let v = 29 - 28.9. What is the closest to v in -5, h, -5/6?
h
Let t = -108.1 + 103.1. Let q = -6 - -9. What is the closest to q in t, 1/2, -0.5?
1/2
Suppose -5*z + 8 = 8. Let q be 2/(-4)*(-14)/21. What is the nearest to q in -1/6, 3, z?
z
Let i = -9.44 + 0.74. Let j = -9.2 - i. What is the closest to 0.5 in -4, j, 0.3?
0.3
Let z = 102 + -99. Which is the closest to 3/5? (a) 1 (b) z (c) 2
a
Let t(w) = 4*w - 34. Let s be t(10). Suppose s*d = -4*c + 3*d - 16, -d = c + 5. Let r = 0.3 - 3.3. What is the closest to 0.2 in -0.2, c, r?
-0.2
Let h be 7 - ((-8)/10)/((-8)/80). Let j = -1 - -3. Let s be (2 + -12)*(-2)/(-4). Which is the closest to j? (a) h (b) -5/3 (c) s
a
Let v be 6789/3942 - 4/(-18)*-1. Suppose 2*w - 5*w + 15 = 0. Which is the closest to -1/4? (a) -4 (b) v (c) w
b
Let q = 190.9 - 188. What is the closest to -2 in 1/11, 4, q?
1/11
Let f = 3599/40 - 723/8. Which is the closest to f? (a) -1 (b) 7 (c) 5
a
Let k = -49 - -21. Let l = -28 - k. Which is the nearest to l? (a) 2/3 (b) -0.1 (c) 1
b
Suppose 3*m + 9 = -0*m. Let y = m - -7. Let k be ((-14)/(-4))/(-7)*1. Which is the nearest to k? (a) -2 (b) -0.1 (c) y
b
Let u = 9.2 - 9.3. Suppose 20 = -3*j - j. What is the closest to 3 in u, -1, j?
u
Let h = -0.06 + 2.06. Let o(d) = -1 + 85*d**3 + 3*d**2 + 0*d**2 - 84*d**3 + 2*d. Let s be o(-2). Which is the nearest to s? (a) 4 (b) h (c) -3/4
c
Let y = -23.3 + 22.9. What is the nearest to y in -3, -31, -4?
-3
Let b = 63.97 - -0.03. Let v = -62 + b. What is the nearest to -0.3 in -1/8, 4/7, v?
-1/8
Let v = -0.2 + 0. Let s = -13.9 - -14. Which is the nearest to v? (a) s (b) -5 (c) 1/4
a
Let f = -1.105 + 0.905. What is the closest to 0.6 in 4, -4, f, 5?
f
Let d = -0.07 + 0.12. Let p = d - 0.15. What is the closest to 0.1 in 3, 0.1, p?
0.1
Let y = 1.8 - 11.8. Let k = y + 5. What is the nearest to -1 in -0.5, 1/2, k?
-0.5
Let u = 394 - 388. Which is the closest to u? (a) -3 (b) 6 (c) 0.4
b
Suppose 31 = 44*l - 13. Let k = -0.26 + -0.04. What is the closest to -0.3 in 1/4, l, k?
k
Let q = -3.417 + -0.583. What is the nearest to 2 in q, 4, 2, -3?
2
Let r = -31.58 - -32. Let q = r + -0.92. Let i(t) = t**2 - 1. Let w be i(0). Which is the closest to w? (a) q (b) 1 (c) 0.4
a
Let m = 0.41 - 5.41. Let n = -1526/3 - -509. Let u = -0.2 - -0.4. What is the closest to u in n, -2, m?
n
Let r = -619387/2 + 10545215/34. Let o = -460 + r. Let x(u) = -u**2 - 15*u - 4. Let g be x(-15). Which is the nearest to -2/11? (a) o (b) 3 (c) g
a
Let u = -39 + 35. Let o be (-3)/(-6)*(-3)/(-1). Which is the nearest to o? (a) -3 (b) -0.1 (c) u
b
Let k = 0.16 - 0.66. Let o = 5/32 - 89/160. Which is the closest to 1/4? (a) o (b) k (c) 0.2
c
Let u = -551.2 - -551. Let t = 0.1 + 0.4. Which is the nearest to -2? (a) t (b) u (c) 1
b
Let q = 1.8 + -2. Let r = -48744/5 - -9749. What is the closest to q in 2, -4, r?
r
Let s = 1023 - 1023.1. Let k = 0.26 + 0.04. What is the closest to 1/3 in s, -4/7, k?
k
Let q be (5 + -4 - 1)/(1 - -1). Which is the closest to 0? (a) -4/5 (b) 2/3 (c) -0.5 (d) q
d
Let z be ((-12)/9)/4*3. Let v be 3/(-10) + z/5. What is the closest to v in 0.3, 5, 4?
0.3
Let d = -48 + 48.39. Let r = 0.35 - d. What is the closest to r in -4, -5, 0.4?
0.4
Suppose 2*m = -3*n - 2*m + 13, -n - 5*m = -8. Suppose 25 = 5*t + 2*p - 7*p, -n*t = -p - 13. Let l = -55 - -54.6. What is the nearest to 1 in 0.4, l, t?
0.4
Let w = 43 - -7. Let k = w - 49. Which is the nearest to -0.2? (a) 5 (b) k (c) -0.2
c
Let n = 0.23 + -0.3. Let z = n - -0.17. Which is the closest to z? (a) 0.5 (b) -3 (c) -4
a
Let k = -281 + 282. What is the closest to 2/5 in 5, 10, -0.4, k?
k
Let z = -2410 + 2410.1. Let p = 8 + -5. Which is the closest to -0.1? (a) p (b) z (c) -1.2
b
Let u be (3/(-9))/((-5)/30). Let i = 25 + -24.9. What is the closest to 1 in i, -0.3, u?
i
Suppose 0 = -n + 2*n - 2*h - 14, -5*h - 29 = -n. Let p = -120.1 + 115. Let d = p + 0.1. What is the nearest to -0.2 in n, -4, d?
-4
Let i be 88/55 - 236/160. Which is the nearest to i? (a) 0.5 (b) -0.5 (c) -0.3 (d) -1/6
d
Let p be (8/84*-1)/((-15)/70). What is the closest to 2 in 14, -2/17, p?
p
Let x = 757 - 762. Which is the closest to x? (a) 3 (b) -0.5 (c) -2
c
Let r = -20 + 20.5. Let v be ((-9)/(-6))/((-12)/(-2)). Which is the closest to 2? (a) -3/5 (b) | {
"pile_set_name": "DM Mathematics"
} |
)/((-72750)/(-3465) - 21). Is r >= 305?
True
Let m be 0/19 - (-2121)/7. Which is smaller: 302 or m?
302
Let q = 12 - -12. Suppose -3*f - q - 81 = 0. Suppose -5*a = -92 + 272. Is a smaller than f?
True
Let b = 110254 - 6284479/57. Suppose 0 = 3*x - 3. Suppose d = -3*y - x, -3*d = 2 + 10. Is y at most b?
False
Let g be (-969)/399*(-42)/(-12). Suppose -2*k + 3 + 1 = 0. Suppose -13 = k*u - u - 2*v, 5*u + 2*v + 41 = 0. Which is smaller: g or u?
u
Let t = 547 - 1632. Let u be (11/7 - 1)*t/(-558). Is u greater than or equal to -4?
True
Let r = 5247 - 5678. Which is bigger: -434 or r?
r
Let r be 2/(-25) - -2*25905/750. Which is smaller: 28 or r?
28
Suppose -109*j = 788161 - 116176. Which is smaller: j or -6168?
-6168
Let x = 439299156/5161 - 85119. Which is greater: x or 1?
1
Let j be ((-14)/(-371))/((-2)/21302). Let b = j + 402. Suppose 3*a + 3 = 4*a, 4*n - 2*a = -2. Do b and n have the same value?
False
Let s(z) = 3*z**3 - 16*z**2 - 7*z - 17. Let q be s(6). Let d = -27 - -11. Which is smaller: q or d?
d
Suppose 0 = -140*y + 153*y - 1001 - 1495. Suppose z = 5*q - 84 - 879, 4*q = 5*z + 783. Is y bigger than q?
False
Suppose 16 = 7*k - 3*k. Suppose -2*w - 260 = n + 4*n, 3*w = -k*n - 390. Let x be (-74)/w + 3/30*-6. Is x >= -1?
True
Let s = -76 + 167. Let o = -51 + s. Let a be (-3 - -2) + -1 + o/12. Which is smaller: 1 or a?
1
Let s(x) = -x**3 + 3*x**2 - 3*x + 10. Suppose 5*w + 0*w - 4*y = -177, -2*w = -3*y + 75. Let j = w - -37. Let f be s(j). Which is greater: -17 or f?
-17
Let y = 94 + -33. Let c = y + -181/3. Let f be 1/(176/10) - ((-456)/64 + 7). Is c at least as big as f?
True
Suppose 111 = 5*d + 3*f, -2*d + d + 5*f + 39 = 0. Suppose 20*i = d*i + 160. Which is greater: i or -38?
-38
Let q = -486 - -198. Let n = q + 308. Is n less than or equal to 19?
False
Suppose -34*v = 28*v + 1998 + 5318. Which is smaller: v or -68?
v
Let c be 9*(-4)/(-24)*(-2)/(-3). Let j = -280/139 + 190962/94937. Which is smaller: c or j?
j
Let o(t) = -2*t - 4. Let j be o(-4). Let p be (-101877)/10*j/50. Let r = 815 + p. Which is smaller: -1 or r?
-1
Let t be (-4)/(-8)*(-1 - -1). Suppose 5*w - 170 = -t*w. Suppose -x + 3*x = -w. Is x at most -17?
True
Let a = 1548 - 1547.9. Is 1965 smaller than a?
False
Let p(l) = l**3 - 17*l**2 + 2*l - 19. Suppose -2*m - 2*m + 2*k + 70 = 0, m - 19 = 2*k. Let u be p(m). Let z be 3/u*(62/(-16) - -2). Is z not equal to 1?
True
Let o = -150.18 + 182.18. Does o = 1?
False
Suppose 0*v = -3*f + 5*v - 224, 3*f + 203 = 2*v. Let r be (9/(-6))/(6/254). Which is greater: f or r?
f
Suppose -4926*r + 4910*r = 16. Which is bigger: r or -1/3070?
-1/3070
Let i be 1155/(-7) + 2 + 0. Let t = i + 8640/53. Suppose 0 = -2*k - 5*p - 8, 0*k + k = p + 3. Which is smaller: k or t?
t
Let a = 27.4 - -305.6. Let i = -258 + a. Do 0.2 and i have different values?
True
Let c = -401 + 410. Suppose 0 = t + 3*t - c*t. Which is smaller: -4/207 or t?
-4/207
Let j(r) = 7*r - 51. Let m be j(8). Suppose 0 = -4*d - 5*c + 988, 5*c = m*d - 1111 - 79. Do 241 and d have different values?
True
Let m = 51298/57 - 900. Let r = -30 + 29. Is m less than or equal to r?
False
Let d = 2 + -167. Let x = d + 164.82. Is x at most 2/7?
True
Let a(y) = -6976*y + 64. Let z be a(1). Is -6911 <= z?
False
Let i(x) = -x + 12. Let g be i(6). Suppose -8*s + g*s + 902 = 0. Let q = 41491/92 - s. Which is bigger: q or 0?
0
Suppose 3447 = 119*q - 110*q. Suppose q*z - 387*z - 368 = 0. Which is smaller: 1 or z?
z
Let x(o) = o**2 + 3*o - 54. Let b be x(-9). Suppose -3*j = -b*j - 5*h - 140, 4*j = -5*h + 140. Which is smaller: j or 2?
2
Suppose 8*o = 12*o - 76. Suppose -8 - 15 = 3*q + 4*n, 4*q = -3*n - o. Let j be ((-21)/98)/((-3)/q). Which is bigger: -1 or j?
j
Let f be (2/3)/((-3)/(-9)). Suppose -2*o - 2*h + 58 = 0, f*o + 2*o - 106 = -2*h. Let l = 100 - 77. Is o equal to l?
False
Let j be 13/(-18)*28 + -4 + 2. Let u = j - -1057/18. Which is greater: u or 38?
38
Let r = 10 + -8. Let f = -84.3356 - -1.3356. Which is smaller: r or f?
f
Let w = 7 - 6. Let d = 7041 - 112655/16. Is w at least d?
True
Let g be ((-3)/(-2))/(-1 + (-244)/(-248)). Let r = g + 98. Suppose -r*h - 6*f = -f - 40, 0 = -h - 5*f + 8. Which is bigger: 60/7 or h?
60/7
Let s = -37 + 81.8. Let r = s - 40.8. Which is smaller: r or 13?
r
Let g = 0.29 - -60.71. Let b = 18.224 + -16.224. Which is greater: g or b?
g
Let s = 1 - -24. Let q = -108 + 79. Let f = s + q. Is -0.8 <= f?
False
Let h(s) = 20*s**2 + 12*s - 13. Let b be h(1). Suppose 75 = 24*l - b*l. Which is smaller: 12 or l?
12
Suppose 3*x - 3 = 4*x. Let k be (x + 0 - -2) + 1. Let d = -2084/589 - -66/19. Which is smaller: k or d?
d
Let h(p) = -p**3 - 18*p**2 + 39*p - 25. Let x be h(-20). Is -1445 > x?
False
Let o = 1.7 + 72.3. Let l = o - 51. Let v = -23.2 + l. Which is greater: v or -8?
v
Suppose 4*k + 8 = -2*z, -3*k + 0*z + 2*z - 13 = 0. Let j be ((6/5)/2)/(1/k). Which is bigger: j or 1/6?
1/6
Suppose -5*l = -0*l + 5. Let r be (398/(-4577))/((-1)/5). Are l and r unequal?
True
Let t(u) = 5*u - 9. Let i(l) = -11*l + 19. Suppose 26 - 62 = -4*q. Let w(z) = q*t(z) + 4*i(z). Let b be w(4). Which is greater: 3 or b?
3
Let f = -5 + 6. Let a = 582 - 576. Let g be a/8 + (-3220)/4144. Which is greater: g or f?
f
Let y = -21 + 31. Let b be (2/3)/((-8)/(-1668)). Let q = -128 + b. Which is smaller: y or q?
y
Let u = 123 + -121. Let q be 191*u - (-4 + (-6 - -10)). Are q and 382 equal?
True
Let b = 93 - 30. Suppose 6*l + b = 21. Let y be l/2*12/(-2373). Which is bigger: 1 or y?
1
Let l = 109483983/17 + -6438090. Let h = 2143 - l. Do -1 and h have the same value?
False
Let y be -1 + 4 + 2 + 17. Let i = y - 17. Let c = 45/2 + -221/10. Which is bigger: i or c?
i
Let c be 6/42 - (-814)/(-210). Which is smaller: 4 or c?
c
Let i = -18.99 - -19. Let q = i - 2.01. Let s = -14.3 - -13. Which is greater: s or q?
s
Let t = -63.853 - 0.147. Let j = 6626.94 + -6691. Let p = j - t. Which is greater: -2 or p?
p
Let o(m) = 2*m - 42. Let s(g) = 8*g - 51. Let z be s(7). Let k be o(z). Which is bigger: k or -29?
-29
Let v be 79 + -2832 + (2 - 3)/(-1). Does v = -2754?
False
Let b = 4115 - 4115.471. Is b not equal to 4?
True
Let r(j) = -5*j + 0*j + 23*j - 9*j - 1 - 8*j**2 - j**3. Let z be r(-9). Is 3/83 smaller than z?
False
Let i(n) be the first derivative of 5*n**3/3 + n**2/2 + n - 21. Let z be i(1). Let t = z - 6. Is t less than or equal to 7/11?
False
Let l be (-3248)/(-110) - (-14 + 15). Let a = l + -189/5. Let j = a - -9. Which is bigger: 0 or j?
0
Let j be -2 + 3 + (-3)/3. Let l = -969 + 59103/61. Do j and l have the same value?
False
Let s = 193 - 2507/13. Is 1403 greater than s?
True
Let b = -154581/4 - -2189639873/56660. Which is smaller: b or 0?
0
Let w(h) = -35*h + 91. Let i be w(-10). Suppose -327*j + 324*j = i. Which is smaller: -146 or j?
j
Suppose -6 = 2*l - 12. Let j be l/4 - 58/87. Does j = 2?
False
Let g be (9 - 21)/((-5)/(5680/72)). Is g != 190?
True
Suppose 300 + 1888 = 3*t - 4*h, 0 = -5*h - 20. Suppose -244 = -6*n - t. Let v = -60 - n. Is 19 bigger than v?
False
Suppose -3*q - 11 = p, -8*q + 5*q - 3*p - 15 = 0. Which is greater: -111/28 or q?
q
Suppose 12 = 6*i - 5*i. Suppose -4*n + 4*a = 0, -5*n + 3*n - a + i = 0. Suppose 5 = -3*v - n*c - 10, 2*c + 6 = 0. Which is smaller: 6/43 or v?
v
Let p = 203 - 342. Let d = 697/5 + p. Let m = 14 + -15. Which is bigger: d or m?
d
Let d = -67 + 147. Let w = d - 88. Let t = 0.29 - 0.09. Which is bigger: t or w?
t
Suppose 26 = -3*v + 16*v. Let d be ((-1)/(-2) + -1)*v. Which is smaller: 4/153 or d?
d
Let a = 29061 + -25744. Which is smaller: a or 0?
0
Let b(f) = 6*f**2 - 15*f - 48. Let z be b(-13). Suppose z = -24*a + 3153. Is a >= 83?
True
Let i be ((-62)/154008*36)/((-2)/(-36)). Let d = 0.13 - 5.13. Which is smaller: d or i?
d
Let g = -2/1933 + -48313/11598. Let s(n) = 8*n + 220. Suppose 15*l = 8*l - 196. Let m be s(l). Is m less than g?
False
Let n = 30117 - 89087/3. Is 421 smaller than n?
True
Let w = 26/5 + -57/10. Let p = -4863/244 - 50/61. Which is greater: w or p?
w
Let c = -46 - -45. Let y be (-288)/(-54) + (c - 4). Which is bigger: 0 or y?
y
Let s be 7 + -3 - -9 - -3. Suppose -2*o - s = -10*o. Suppose -a + 0 = -u + 8, -o*u = -3*a - 14. Is -2 != u?
True
Suppose 0 = -513*m - 28354 + 158656. Which is bigger: m or 276?
276
Let j be (-210)/24*((-1)/5)/((-25)/(-3050) | {
"pile_set_name": "DM Mathematics"
} |
-1127)*34/51. Which is smaller: a or 1?
a
Let g be -3 - ((-13396)/5712 + (-2)/24). Let d = -40.9 - -44. Let q = -3 + d. Are g and q unequal?
True
Let s(f) = f**3 - 6*f**2 + 8*f + 3. Let b be s(6). Suppose b = j + 49. Suppose 4*n + 5*v = -21, 30 = 4*n + n - 5*v. Is n at most j?
True
Let u = -92/21 + -1/3. Is -6 equal to u?
False
Let f be ((-165)/(-15) - 15)*3/249. Which is bigger: 0 or f?
0
Let i = -95 - -97. Which is smaller: i or 10/7?
10/7
Let x = 145246/29 + -5009. Which is bigger: x or -1?
x
Let i = 10.51 + -10.5. Is -0.15 at least as big as i?
False
Let m = 138 - 1530/11. Which is greater: -0.1 or m?
-0.1
Suppose -10*l = -7*l - 78. Let y = -32 + l. Is 2 at most y?
False
Suppose 6*c - 80 = -10*c. Let y be 6/c*(-30)/(-12). Which is smaller: y or 7?
y
Let h = 8 - -40. Let o = 47 - h. Let g = 4 + -1. Which is smaller: g or o?
o
Let h = -334.3 + 322.3. Let k = 0.2 + -0.2. Let o = 1 - k. Is h at least o?
False
Let k be (12/(-20) - (-192)/20) + 4. Let b(j) = -2*j**2 + 22*j - 15. Let l be b(k). Is l at most as big as 0?
True
Let t = -3 - -4.3. Let u = -2.3 + t. Is 4/3 > u?
True
Let v = -1078.8 + 1079. Which is smaller: v or -333?
-333
Let y(z) = 2*z - 6. Let p be y(5). Suppose 11*o + 7 + p = 0. Is o equal to -1/13?
False
Let z = -5.93 - 0.07. Let t = 5.9 + z. Let j = 8 + -16. Is t smaller than j?
False
Let f = -124 + 52. Let o = 9925 + -9998. Which is smaller: f or o?
o
Suppose -5*d + 675 = -5*r, -3*r - 2*r = 4*d + 630. Are r and -132 nonequal?
True
Suppose m - 4 - 25 = 0. Let v = -28 + m. Which is bigger: v or -1?
v
Let z be (0 + 1)/((-11)/22). Let i(k) = -k**2 - 5. Let c be i(-4). Let g be c/(-27) + 1 + z. Which is smaller: 0 or g?
g
Let z = 68 + 72. Let a = z + -136. Is -6/7 < a?
True
Let o(a) = -a**3 - 31*a**2 + 25*a - 107. Let c be o(-32). Which is smaller: c or 116?
116
Let m = -258 - -257.6. Which is greater: -15/7 or m?
m
Suppose -2*k + 5*h = 31, -18*h + 14*h = -4*k - 68. Is -8 at least k?
True
Let g = -118 - -119.9. Which is smaller: g or 3?
g
Let j = -1369291/390 + 3511. Which is bigger: j or 0?
0
Let s = 28 + -113. Is s less than or equal to -83?
True
Let j(u) = -u**3 - u - 11. Let h be j(0). Let c be (-8 - h)*15/18. Which is smaller: c or 4?
c
Suppose 3*r - 100 = 4*w, -2*r + w + 0*w + 75 = 0. Which is smaller: 39 or r?
39
Let f = -12 - -39. Let s = -19 + f. Let t = s - 7.7. Is t greater than 1?
False
Let u = 2.99 + 28.01. Is u less than or equal to 4?
False
Let h = 3109 - 40395/13. Let f = 24/13 - h. Let a(x) = x**3 - 6*x**2 - 8*x + 6. Let t be a(7). Which is smaller: f or t?
t
Let l be 4/(-3)*(-4)/144. Let g = 16/297 + l. Are 1 and g non-equal?
True
Suppose 22*h - 8*h + 32*h = 0. Which is bigger: 3/2587 or h?
3/2587
Let i = -36/109 + -332/1635. Do i and 0 have different values?
True
Suppose 5*k = 6*k. Suppose 3*z - 15 = k, 2*i + 0*i = -3*z - 37. Let h = 26 + i. Which is greater: 3/25 or h?
3/25
Let j(q) be the first derivative of q**4/4 + 2*q**3 + 5*q**2/2 + 3*q - 1. Let f be j(-5). Suppose t = 5*b - 21, -f*t - 3*b = b - 13. Is -1 >= t?
True
Let r be (1 + 0)/(664/(-84) - -8). Are 1/2 and r nonequal?
True
Let c(g) = -g**2 - 4*g + 38. Let w be c(-8). Suppose 7*r = w*r. Does -18/17 = r?
False
Suppose -5*h - 153 - 127 = 0. Is h at most as big as -53?
True
Let u = -78 + 92. Let w be (u - 12)/(4/(-6)). Is -7/2 smaller than w?
True
Let k = -0.49 + 0.53. Does k = 111?
False
Let r = 496 + -134. Which is bigger: r or 363?
363
Suppose -8 = g + 12. Let n be (10/(-4) - -3)*0 - 19. Is g bigger than n?
False
Let b be 21/(-14)*((-4)/(-6))/(-1). Which is smaller: -3/35 or b?
-3/35
Let w = 304 - 223. Is 82 > w?
True
Suppose 2*j = 4*s + 60, -26*j + 5*s + 24 = -25*j. Which is smaller: j or -9?
-9
Let k = 1275 + -829. Is 445 less than k?
True
Suppose -44*g + 2 = 46. Which is smaller: 2/1053 or g?
g
Let n = 775.2 - 775. Which is greater: 2/655 or n?
n
Let l be 3*1079/(-39) - (0 + 0). Is -83 greater than l?
False
Let g = -0.25 + -5.75. Let m = g - -4. Is m less than -23?
False
Let m be (-112)/140*((-34 - 0) + -1). Let x = m - 33. Is -5 <= x?
True
Let i be 1 + 1 + 1 + -98 + 4. Let d be (-2)/91*6 - 14/i. Which is bigger: 0 or d?
d
Let l be ((-3)/65)/((-18)/(-12)). Let s = -5 - -12. Let g be (-3)/s - (-6)/14. Which is greater: l or g?
g
Let u be ((-2)/(-3))/((-2)/6). Suppose 11*m + 3*m = 3*m. Suppose -5*s + 1 - 21 = m. Which is smaller: s or u?
s
Let t = -969 + 968.52. Which is greater: t or 5?
5
Let j be (-2432)/(-456) + (-1 + -3)*1. Does -16 = j?
False
Suppose -74 = 5*v + 51. Let h = v + 32. Is h <= 7?
True
Let i = 102 + -103. Is i >= -6?
True
Let w(o) = o**3 + 19*o**2 - 17*o + 5. Let d be w(-20). Let y = d + 54. Is 2/85 not equal to y?
True
Suppose -4*q - 14*w = -9*w + 1076, -2*w = -4*q - 1048. Which is smaller: -265 or q?
-265
Suppose 2*s + 0*s = s. Let f be 24/(-60) + (-126)/(-340). Do s and f have the same value?
False
Let f = -11 - -14. Suppose -i + 10 = 3*d, d = -2*i + 8 + 2. Suppose f*n + 12 = -4*y, y + y + d*n = -8. Is y >= -2/35?
True
Let d(g) = g. Let f be d(-2). Let j = -9.04 - -9.14. Which is smaller: j or f?
f
Let v(t) = -t**2 - 5*t + 8. Let a be v(4). Let h = 7 - a. Is h greater than 35?
False
Let q be 83/5 - 10/(-25). Suppose 2*g = 3 - q. Suppose -k + 3*m = 5, -4*k + 4*m = 21 + 7. Do k and g have the same value?
False
Let c(r) = -4*r**2. Let m be c(1). Let u be ((-6)/m)/((-3)/(-8)). Let n be u/1*1/58. Which is smaller: n or 0?
0
Suppose -5*v + 2 = 7. Let x be (v/(-2))/(0 - 3/(-6)). Which is bigger: 2/161 or x?
x
Let x(h) = -h**3 + 10*h**2 - 14*h + 1. Let z be x(5). Is 57 at least z?
True
Let k = -0.098 + -75.902. Let m = k + 75.8. Is -7 equal to m?
False
Let r(o) = -o + 17. Let h be r(13). Suppose 9 = -5*j - 4*k, 4*j - k + h - 1 = 0. Is j at most -3?
False
Let h = -24.04 - -24. Let g = 1.15 - -2.81. Let s = h - g. Which is greater: s or -1?
-1
Let c be (-24)/288 + 8282/24. Are 343 and c non-equal?
True
Let f be -90 - (6/(-4))/((-6)/(-8)). Let j be f/30 - (3 - (-18)/(-5)). Which is smaller: j or 0?
j
Let t = 2/75445 - 153232/88346095. Is t at most as big as 1?
True
Let r = -423 - -422.7. Which is smaller: 40 or r?
r
Let g be -4 + 7 + 9 - 5. Is g > -32?
True
Let m be 6*(1 + 340/(-328)). Which is smaller: m or -1?
-1
Suppose 4*v + 3 = 3*v. Let z be (-1)/v + 28/12*-1. Which is bigger: z or 2.9?
2.9
Suppose -3*g - 5*v = -45, 103 = g + 4*g - v. Let n be (1 - 2) + -2 + 33. Suppose -5*b + 3*h = g, 2*h + n = -5*b + 3*h. Which is smaller: -8 or b?
-8
Suppose 0 = n + 2*u - 10, 0 = -5*n + 4*n - 3*u + 15. Let t = 258 + -1294/5. Are n and t unequal?
True
Suppose -2*t = -11 - 3. Suppose 6*z = t*z - 4. Suppose -3*o + n = 5, -3*n + 10 = -z*o - 0*n. Is o greater than -3?
True
Let d be (21 - 19)/((-8)/(-2)). Are d and -1577 nonequal?
True
Suppose -4*k = -5*a - 16, -21 = 10*k - 5*k + 4*a. Which is smaller: -2/4403 or k?
k
Let i = -390 - -389.79. Is i less than -1/14?
True
Suppose -2 = -4*y + 6. Let z be (-6)/3 - -1 - y. Suppose 0 = 7*p - 15 + 43. Which is smaller: p or z?
p
Suppose 1090 = -5*v + 2*x, 0 = -15*x + 17*x. Which is smaller: -217 or v?
v
Let j = 779 - 1074. Are j and -2 nonequal?
True
Let u = -217 + 104. Is -1/8 <= u?
False
Let x(k) be the first derivative of -3*k**4/2 - k**3 - k**2/2 - 2*k + 5. Let n be x(-2). Let w be (-1)/5 + n/405. Is w > -1?
True
Let j(l) be the second derivative of 0 + 1/3*l**3 - 5*l + 2/3*l**4 - 13/2*l**2 - 1/20*l**5. Let k be j(8). Are 4 and k equal?
False
Suppose 4*p - 2 = 2. Let c(q) = 5*q - 267. Let t be c(0). Let v be -4 + (0 - t/66). Is v at least as big as p?
False
Let b = 72 + -51. Let m = b - 21. Which is greater: 12 or m?
12
Let y be 2 + (0 - -4)/(-4). Let q be 3*-2 + y + 4. Let c be (q/3)/((-5)/(-40)). Is 0 != c?
True
Let q be 1/(24/9 - 3). Let r be 118/(-28) - 1/(-2). Is q greater than or equal to r?
True
Let p = 676.93 + -677. Are -1/21 and p nonequal?
True
Let x(c) = -4*c + 1. Let t(k) = -5*k + 2. Let i(s) = 3*t(s) - 4*x(s). Let r be i(-12). Does -10 = r?
True
Suppose x - 27 = 5*x + j, -5*x = j + 33. Which is smaller: -1 or x?
x
Let b = 1339 - 1340. Is 2/389 != b?
True
Suppose -23*j - 19456 = -61*j. Are j and 511 nonequal?
True
Let s(w) = 9*w. Suppose 3*c = 5 - 2. Let g be s(c). Suppose 3*u + 3 = 0, 2*u = 5*k + g + 4. Which is smaller: k or -2?
k
Let f be -2 + (0 - 6)/(-1). Suppose 4*r = d - 8 + 70, -d = f*r | {
"pile_set_name": "DM Mathematics"
} |
-5 (b) 0.059 (c) -3
b
Which is the nearest to -1? (a) -4 (b) -1/4 (c) 11
b
What is the closest to -1.6 in -10, 3, -3?
-3
What is the nearest to 1 in 1, 2, -5, 0.2?
1
Which is the nearest to 0.9? (a) 5/3 (b) 75 (c) -4
a
What is the nearest to -2/3 in 0.1, 3, -554?
0.1
Which is the nearest to -1/2? (a) -5 (b) 3 (c) 1/4 (d) -16/5
c
What is the closest to -4.1 in 0.1, 2, 0.4?
0.1
Which is the closest to -1? (a) 1 (b) 24 (c) -2 (d) -2/5
d
Which is the closest to -47? (a) 0.5 (b) 0.3 (c) -5
c
Which is the nearest to -1/9? (a) -4 (b) -0.4 (c) 3 (d) 99
b
Which is the closest to -5? (a) -4/5 (b) 5 (c) 1/6 (d) -7
d
What is the closest to -2 in 0.2, 2, -16, -3?
-3
What is the nearest to -7/4 in 9, 2/3, -0.2?
-0.2
What is the closest to -2/9 in 0.4, 0, -2, 5/16?
0
What is the nearest to -2/7 in 0.4, -1/2, 18.1?
-1/2
What is the closest to 2 in -2, -3, -6/11?
-6/11
What is the nearest to 1/4 in 1, 131, -1?
1
What is the nearest to -1 in 1, -1/2, 1/8, -1?
-1
Which is the nearest to 0? (a) -1 (b) 1/6 (c) -18/5 (d) 4
b
What is the nearest to 1 in -0.5, -14, -3/5?
-0.5
What is the nearest to -224 in 3, -0.4, 5, -0.5?
-0.5
What is the nearest to 2 in -2, 0.3, 1/4, -2/11?
0.3
Which is the nearest to -1? (a) -35 (b) 5 (c) -4 (d) -1/6
d
Which is the nearest to 2/7? (a) 4 (b) 0.4 (c) -237
b
What is the nearest to 2 in 0, -3/5, -13, 83?
0
Which is the closest to -89/5? (a) -0.5 (b) 0.07 (c) -3
c
What is the closest to 27 in -37/3, -2/17, -4?
-2/17
Which is the closest to 0.024? (a) -3 (b) 4/5 (c) 4
b
Which is the closest to 2/11? (a) 0.3 (b) -0.7 (c) 1 (d) -5/2
a
Which is the nearest to 41? (a) 0.3 (b) 1/4 (c) -2
a
What is the nearest to -169 in 0.5, 1, 2/13?
2/13
What is the nearest to 0 in -1/2, 1, -9, -1/12?
-1/12
Which is the nearest to -2/63? (a) -1 (b) -2/7 (c) 0.2 (d) 5/3
c
What is the nearest to -2/5 in 4, 0.1, -17, 0.5?
0.1
Which is the closest to -1? (a) -19 (b) 0.1 (c) 0 (d) 4
c
What is the closest to 5/14 in -0.2, 3/5, 20?
3/5
What is the nearest to -0.1 in -1, -3/5, -0.5?
-0.5
What is the closest to -1 in -5, 2/7, 0.203, 4?
0.203
Which is the nearest to 5? (a) 0.4 (b) 5/3 (c) -5
b
What is the closest to 4.6 in -4, 4, 2?
4
Which is the nearest to -1/2? (a) 0.5 (b) -2.2 (c) -1/6 (d) 2
c
Which is the nearest to -1? (a) 2 (b) -233 (c) -2
c
Which is the closest to -7? (a) 0.3 (b) -0.7 (c) -1
c
What is the closest to -2/7 in 1, -1, 0.1, -0.08?
-0.08
Which is the nearest to 8? (a) 0.01 (b) 4 (c) -1/2 (d) 2/3
b
What is the nearest to -0.2 in -1/5, -3, -2/7?
-1/5
Which is the closest to 16? (a) -0.15 (b) -5 (c) 0.3
c
Which is the closest to 5? (a) 3 (b) -2/5 (c) -5
a
Which is the closest to -1? (a) -2/9 (b) -4/13 (c) 2 (d) -56
b
What is the nearest to 1/8 in -0.5, 2/9, 0.1, -1/3?
0.1
Which is the closest to 2? (a) 2/5 (b) 2/9 (c) -46 (d) 3
d
Which is the closest to 1/2? (a) 3/98 (b) -2/3 (c) -1/5
a
What is the nearest to -2/7 in 1/24, 0.15, 7/4?
1/24
Which is the closest to 1? (a) 0.3 (b) -1/9 (c) -1/12 (d) 4/3
d
What is the nearest to 0.2 in 0.086, -1, 0.5?
0.086
What is the closest to 0.04 in -3, -0.2, 0.5?
-0.2
What is the closest to -1 in 1/8, -0.2, 0.08, 1/12?
-0.2
Which is the nearest to -0.2? (a) -1111 (b) 2/9 (c) 1 (d) -3/5
d
Which is the nearest to 2? (a) 1 (b) -1/619 (c) -7
a
Which is the nearest to 1? (a) -1 (b) 43 (c) 0 (d) -0.1
c
What is the nearest to 2/7 in -1, 1, 5/4, 4?
1
Which is the closest to -1/2? (a) -1/4 (b) 0.3 (c) -1 (d) 47/17
a
Which is the nearest to 0.2? (a) -10 (b) 1/5 (c) -5 (d) 0.05
b
Which is the closest to -5? (a) -1 (b) -5/7 (c) 4
a
Which is the nearest to 2? (a) 3 (b) -6 (c) -1
a
Which is the closest to -3/26? (a) 2 (b) 0 (c) -5 (d) -0.3
b
Which is the closest to 0.24? (a) 1/4 (b) -5 (c) -0.38
a
Which is the closest to -5? (a) 3/2 (b) 1.1 (c) -0.11
c
Which is the nearest to 1? (a) -89/2 (b) 0.5 (c) -2/7
b
Which is the closest to 1? (a) -1/1167 (b) -0.4 (c) -1/7
a
What is the nearest to 6 in 0.9, 2/7, 1/3, 4?
4
Which is the closest to -0.5? (a) 3/2 (b) 0.3 (c) 1 (d) 2.1
b
What is the nearest to 1 in 3, -1/8, -18?
-1/8
Which is the closest to -8/7? (a) 4 (b) -3/2 (c) -0.01
b
Which is the closest to -1? (a) -2/5 (b) 4/5 (c) 0.1 (d) -3/2
d
What is the nearest to 1/3 in -1/11, -0.4, -1, -0.1?
-1/11
Which is the closest to -2/9? (a) -79 (b) 0.2 (c) 2 (d) -0.9
b
Which is the closest to 0.2? (a) 3 (b) 0.5 (c) -41 (d) -1
b
Which is the nearest to 4? (a) 0.1 (b) -3 (c) -2/9
a
Which is the closest to -9? (a) 2/3 (b) -0.02 (c) -0.4 (d) 0.1
c
Which is the closest to 21? (a) -5 (b) -3 (c) -2
c
Which is the nearest to -2? (a) -4/7 (b) -2 (c) -0.8
b
Which is the closest to -0.1? (a) 0.02 (b) -2/3 (c) -11 (d) 0.4
a
What is the nearest to 1 in 2, -6, 0.2?
0.2
Which is the closest to 0.053? (a) 1 (b) -2/7 (c) 0.4 (d) 5
b
What is the nearest to -7 in -1/3, 30, 1?
-1/3
What is the nearest to 0 in 1, -163, -0.14?
-0.14
What is the nearest to -0.1 in 1, -1/9, -3, -1/4?
-1/9
Which is the nearest to -2/5? (a) 3/2 (b) -2/157 (c) -1/6
c
What is the nearest to -11 in 1, 2, 3, 0.5?
0.5
Which is the closest to -0.3? (a) 0.3 (b) 3 (c) -44 (d) 2
a
Which is the closest to 2/7? (a) 3 (b) 1 (c) 15 (d) -0.2
d
What is the closest to 0.6 in 0.15, 4/3, -21?
0.15
What is the closest to 1 in -2, 2/7, -178, 1.3?
1.3
Which is the nearest to 0.1? (a) 1 (b) 0 (c) 46 (d) -0.5
b
Which is the closest to -373? (a) -1 (b) 0.4 (c) -6/7
a
What is the closest to 0.1 in -9, 5, -1/4, -2/9?
-2/9
What is the nearest to -2/7 in 2, -5/6, -5?
-5/6
Which is the nearest to -1? (a) -5 (b) 0.038 (c) 0.2 (d) 4
b
Which is the closest to 2/3? (a) 2/3 (b) 0.4 (c) -3/7
a
Which is the nearest to 2/15? (a) -180/11 (b) -0.2 (c) 5
b
What is the nearest to 1/3 in -3/8, 0, 2/7, -0.1?
2/7
What is the closest to -1 in -3, 0.06, 0.3?
0.06
What is the nearest to 0.2 in -42, -0.2, -1/4, -0.04?
-0.04
Which is the closest to -0.1? (a) 0 (b) 2 (c) -0.4 (d) -7
a
Which is the nearest to 2? (a) -1 (b) 8 (c) -0.3
c
Which is the closest to -4? (a) -4 (b) 0.4 (c) 1/4
a
Which is the closest to 0? (a) 1 (b) -3 (c) -42 (d) -2
a
Which is the closest to 1/4? (a) 14 (b) -6 (c) 4
c
Which is the closest to -8? (a) 0.5 (b) 66 (c) 4/3
a
Which is the nearest to 0.1? (a) 4 (b) 0.4 (c) 3 (d) 0.015
d
What is the nearest to 1 in 2/13, 4/3, -4?
4/3
Which is the closest to -13? (a) -4 (b) 4/9 (c) 5 (d) 2
a
Which is the closest to 1? (a) 2/5 (b) 0.5 (c) 352
b
What is the nearest to -1 in 0.2, 0.07, -4, 3?
0.07
What is the closest to -0.1 in 0.1, -18, 0?
0
What is the nearest to 2 in -0.2, -0.4, 13, 3?
3
Which is the closest to -0.07? (a) -1/9 (b) -1/11 (c) -5 (d) -320
b
Which is the closest to 2? (a) -1 (b) -65/12 (c) 1 (d) -4
c
What is the nearest to 5 in -2/5, 4/3, 5, 0.4?
5
What is the nearest to 2/5 in 1, 2, 0.3?
0.3
What is the closest to 1 in -2/19, 8, -0.5, 558?
-2/19
What is the closest to -1 in 5, 3.2, 1/50, -1?
-1
Which is the closest to 2? (a) -2/9 (b) 0.089 (c) -3/2
b
Which is the closest to -1/2? (a) 4/5 (b) -3 (c) -0.09 (d) -2/9
d
Which is the nearest to 11/7? (a) 1 (b) 0 (c) -5
a
Which is the nearest to -1/3? (a) -3 (b) -2 (c) -1 (d) -0.11
d
What is the closest to 2 in 4, 1, 5, 17?
1
What is the closest to 0.7 in -4, -5, 0?
0
What is the closest to -1 in 3, -0.122, 0.3?
-0.122
Which is the closest to 1? (a) 4.6 (b) -17/2 (c) -5
a
Which is the nearest to -0.7? (a) 5/4 (b) 1/4 (c) -1
c
Which is the nearest to -52? (a) -3/5 (b) 3 (c) -3 (d) -4
d
Which is the closest to -1? (a) 0.2 (b) -14 (c) 1/3 (d) 2/9
a
Which is the closest to -2/5? (a) 2/7 (b) 5 (c) -0.5 (d) -2/5
d
Which is the nearest to -2/7? (a) 0.02 (b) -3/7 (c) 5 (d) -1/3
d
Which is the nearest to -6? (a) 3/5 (b) 28 (c) 2
a
What is the nearest to -1 in -1, 1/3, -3/4?
-1
What is the nearest to -2/3 in 4/7, -2/11, -6, 0?
-2/11
What is the closest to 0.1 in -77, -2, 3, 2?
2
What is the closest to -0.1 in -0.039, 0, 1?
-0.039
What is the nearest to 1 in 0.22, -5/4, -2, 20?
0.22
What is the nearest to 1/3 in -2/19, -0.1, -5, -1/2?
-0.1
Which is the nearest to -1? (a) -5 (b) -1/10 | {
"pile_set_name": "DM Mathematics"
} |
= -w - 1. Let k be x(-6). Solve -26 = 2*i + k*o - 9, -9 = 3*o for i.
-1
Let m be ((-3)/2)/((-30)/100). Solve -2*j = -j - 5, 4*j - 15 = -m*l for l.
-1
Let l be 9/2 - (-3)/2. Suppose -o + l*o = 0. Suppose o = b + b. Solve -9 = 4*v - h - 1, b = -5*v + 5*h - 25 for v.
-1
Let y be 304/10 + 12/(-5) + 2. Let g(w) = 2*w**2 - 3*w + 2. Let p be g(2). Solve 6*k + p*x - y = k, 3*x = 15 for k.
2
Let h be 0/(-2*1/2). Let f(y) = -2 - 5*y + 2. Let k be f(-1). Solve k*o + h*o - 6 = -b, -b + 4*o = 12 for b.
-4
Let d be (-9)/3 - (-28)/4. Solve -3*y = 2*z - d, 1 = -3*z - y - 0 for z.
-1
Let w(b) = b**2 - 7*b + 4. Let z be w(5). Let t = 8 + z. Suppose -t*u = -4*u + 4. Solve g = d - 0*g + u, -3*g + 4 = -d for d.
-1
Let x = -1 - -4. Let a = 0 + x. Let r be (2/(-2))/a*-6. Solve r*i - 2*l + 5 = i, -30 = -4*i - 2*l for i.
5
Let z be (0*4/8)/(-1). Let f be ((-42)/(-4))/((-2)/(-4)). Solve s + 8 = -4*c + f, c + 4*s - 22 = z for c.
2
Let w(y) be the second derivative of -y**3/3 - 4*y**2 - 2*y. Let g be w(-6). Solve -2*i = 4, 2*c + 2*i - g = -16 for c.
-4
Let u = -6 + 2. Let y be (5/2)/((-2)/u). Let g = -2 + y. Solve g*f = -3*l - l - 31, -5*f + 3*l = 13 for f.
-5
Let y = 1 + 4. Solve 3*a - 8*a = 5*n + 20, 3*n = -y*a - 18 for n.
-1
Suppose 6 = -5*m + 21, 0 = 3*x + 3*m - 9. Solve 0*b + 15 = 3*b, x = -3*w + b - 11 for w.
-2
Let a(t) be the second derivative of -t**3/6 + t**2 + 3*t. Let i be a(0). Solve -3*c + 9 = -4*n, 5 = i*c - 3*n - 2 for c.
-1
Suppose s = 5*v - 105, 6*v = 3*v - 4*s + 63. Suppose q = -3*c - 2*q + v, 5*c - 25 = -3*q. Solve 3*h - c*i - 16 = 0, 3*h - 5*i - 8 = 14 for h.
4
Let j be 1/((-2)/20*-2). Suppose -2*c = -j*c. Solve c = 2*g + 4*r - 8, 5*r = 3*g + 13 - 3 for g.
0
Let b(n) = 3*n + 31. Let h be b(-6). Solve 2*x - r - 5 = 0, -x + h = -r + 4*r for x.
4
Let t(q) = q**3 + 5*q**2 - 2*q - 9. Let m be t(-5). Solve -3 = 2*p + m, 2*w + 5*p + 6 = 0 for w.
2
Let r be (1 + (-4)/3)*3. Let x be (r - (-3)/3)/1. Suppose 0 = 3*v - x*v - 84. Solve h + 4 = -3*h + 3*l, 3*l = -4*h - v for h.
-4
Let d = 11 + -9. Solve -d*y + 2 = -2*l, -3*l = 2*y - 2*l - 2 for y.
1
Let l = -15 - -17. Solve 4*g = -4*r + 16, 2*g + 4 = -l*g for r.
5
Suppose 0 = -6*g + 13 - 1. Solve n + 5 = -4*j, -j + 3*n - g = 4*n for j.
-1
Let s be ((-3)/(-6))/((-2)/(-24)). Solve 8 = -2*k + s*k, 5*k = y + 5 for y.
5
Suppose -2*y + 0*k + 21 = -3*k, -4*k - 22 = -2*y. Let w(r) = -r**3 - 5*r**2 + 5. Let n be w(-5). Solve -n = -s - 3*g + 1, -2*g = -s - y for s.
-3
Let h = 75 - 71. Solve 3*y + h = x, -y - 3*y + 2*x - 6 = 0 for y.
-1
Let w(i) be the third derivative of -i**4/24 - 5*i**3/6 + 9*i**2. Let q be w(-8). Solve -q*m + 5*m - 3*l - 10 = 0, -15 = -3*m + 5*l for m.
5
Let a = 0 - -4. Suppose 3*p - 2*m - 7 = -2*p, -5*p = 4*m - 1. Let i = a - p. Solve 5 = -5*s + d, -4 = 3*s - i*d - 1 for s.
-1
Suppose 3*i + 2*u + 74 = 0, 4*i - u + 3*u + 96 = 0. Let b = i - -34. Let s be 8*(0 + -3 + (-14)/(-4)). Solve -o = -2*x - x - b, s*o - 2*x = 18 for o.
3
Let h(c) = 7*c**3 + c**2 - 1. Let b be h(1). Let l be 25/(-10)*8/(-10). Let w = 5 - l. Solve a = -w*t - b, -a = -5*t - 6*a - 5 for t.
-3
Suppose -31*n - 6 = -34*n. Suppose 0 = -0*x - 2*x + 2*j + 4, 0 = x + 4*j - 17. Solve -i = x*w - n*i - 24, 5*w = -4*i + 4 for w.
4
Suppose -3*i - 8 = -5*i. Let h be ((-30)/(-4) + -7)*(-1 + 39). Solve -i*j + 2 = -5*g, g - 3*g + h = 5*j for g.
2
Let c be (-2 + 10/(-2))*-3. Let b = c + -14. Let d = -4 + b. Solve -2*a + a - d*t + 10 = 0, a + 22 = 5*t for a.
-2
Let f = 3 + 0. Suppose c + n = 0, f*n + 8 = 2*c + n. Solve -5*a + 11 = 3*d, 3*d - 5*a + c*a = -21 for d.
-3
Suppose 5*o + 7 + 3 = 5*x, 3*o + x - 2 = 0. Solve o*z - 5*f = -3*z - 5, z - 5*f = -5 for z.
0
Suppose -2*z + 10 = 0, 4*z = c + 14 + 4. Solve c*p + 2*q + 3*q = -7, 20 = 2*p - 4*q for p.
4
Let y = 14 + -11. Solve 0 = -d - y*p + 9, d - 2*p + 19 = 2*p for d.
-3
Suppose -4*v + 12 = 2*z, -z = -3*z + 4*v - 4. Suppose -6 = -z*w - 0. Solve 12 = w*x - 2*m, 2*x = x - 3*m + 4 for x.
4
Let q(k) = k - 10. Let a be q(11). Solve -3*g = -m + 4*m + 12, -g = a for m.
-3
Let r(y) = -y**3 - 4*y**2 + 3*y - 7. Suppose -2*a + 4 = 14. Let i be r(a). Solve -20 = 5*x + 2*u, 0 = -i*x + u - 4 - 8 for x.
-4
Let k(s) = -s**3 + 7*s**2 - s + 8. Let m be k(7). Solve 9 = -2*c + 2*q + m, -2*c + 5*q = 8 for c.
-4
Let l = 9 - 1. Suppose v = 2*z - 3 - 1, 4*v - l = 2*z. Solve -v*a = -3*u + a + 26, 0 = u + 5*a + 18 for u.
2
Suppose -z + 6*z - 104 = -3*w, -69 = -3*z - 4*w. Let d = -31 + z. Let t be ((-2)/3)/(4/d). Solve 2*v - 10 - 8 = -2*p, 0 = -t*p + v + 3 for p.
4
Suppose -p - i + 0*i = -10, -5*i = -25. Solve p*y + d + 19 = 2*y, 0 = 3*d + 12 for y.
-5
Suppose 0 = 4*n + z - 15, -5*n + z + 23 = -2*z. Let w = -2 + 3. Let v be 4 + -2*w + -2. Solve 2*i + n*s + 8 = v, s = i - 2*i - 3 for i.
-2
Suppose 0 = -2*r + f + 5, -3*f = 3*r - 2*f - 15. Solve r*o - 4*m = -5*m + 1, -3*m + 18 = -3*o for o.
-1
Let h = -27 + 45. Let m be ((-6)/8)/(2 + 75/(-40)). Let a = m + h. Solve 0 = 3*b + a, -7 = 3*v - 3*b + 4*b for v.
-1
Let a(v) = v**2 - 3. Let r be a(2). Solve o + 16 + r = 5*t, 0 = 3*o + 6 for t.
3
Suppose 5*y = 3*y + 2, p - 5*y + 2 = 0. Suppose 5*a + 33 = 2*v, 5*v + 5*a = -2 - p. Solve -x - 3*o = 4*x - 1, -4*o - 4 = v*x for x.
2
Suppose 5*r = 4*b - 9*b + 95, -2*r + 13 = -3*b. Solve -4*y + 29 = 5*n - 2*n, -3*n + r = y for n.
3
Suppose -12 = -3*o, -5*o = -3*r + 44 + 2. Solve -l - 4*a - r = a, -4*l - 3*a - 20 = 0 for l.
-2
Let t(y) = y**3 - 7*y**2. Let c be t(7). Suppose 3*a = -c*a. Solve 3*w - 4*h + 2 + 29 = a, 5 = -5*w - 5*h for w.
-5
Suppose 3 = 2*c - 3. Suppose c*f - 3 - 6 = 0. Solve -13 = -q + 5*q - f*w, q - 14 = -5*w for q.
-1
Let m(k) = 4*k**2 - 4*k - 3. Let s be m(-2). Suppose 3*n + 5*r = 4*n - 18, 3*r + s = 4*n. Solve -2*w + d + 6 = 0, 4*w + 3 - 13 = n*d for w.
4
Let k be 2 - ((-1 - -3) + 4). Let i be (58/k)/((-1)/2). Solve 9*h - 4*h - i = -3*n, -2*h = -8 for n.
3
Let f(m) = 11*m + 2. Let u be f(3). Let g = -3 + u. Solve -4*l - l = 5*i - 35, -4*i = 5*l - g for i.
3
Let z be (-6 + 0)/(1/(-4)). Let i be 15*(3 - z/9). Let l(f) = -f**3 - 7*f**2 - 8*f - 6. Let v be l(-6). Solve -h - v = -4*h, -3*a = i*h + 2 for a.
-4
Suppose -1 - 4 = -a + 3*z, 5*z - 1 = -3*a. Suppose q - a - 1 = 0. Let x be 2 - ((-1)/1 - -1). Solve -5 = 3*y - w + x*w, 15 = -3*y - q*w for y.
0
Let d = -5 - -8. Let l(t) = t + 14. Let z be l(-14). Solve z = -d*o + 5*n + 8, 3*o - o = 2*n + 4 for o.
1
Let h be (1 + 5/(-2))*80/60. Let v(s) = s - 8. Let i be v(6). Let u be 10/(i - 5/h). Solve 4*z = 4*r, 10*r + u = 5*r - 5*z for r.
-2
Let g be 5/(-2)*(-1 - 1). Solve 14 = 5*a - 2*i, -4*a + g = -i - 8 for a.
4
Suppose -55 + 20 = -5*q - 4*h, 0 = 3*q + h - 21. Solve 5*w - 4*a - q - 2 = 0, -4*w = 4*a for w.
1
Let q(y) = -y**3 - 9*y**2 + 9*y - 14. Let m be q(-10). Let k be -1 + (1 - m)/1. Solve -3*z - k = o, -2*o - 3*o = 5*z + 20 for o.
-4
Suppose 5 = -3*h - 31. Let f = -20 + 3. Let p = h - f. Solve -2 = -g - p*o - 12, 5*g - 22 = -o for g.
5
Let d = 22 - 19. Suppose 0 = d*x - 18 + 3. Solve j + 2*v - 4 = 0, x*j + 0*j - 2*v = -16 for j.
-2
Suppose -14 = -4*b + 2. Suppose -4*z + 2*z = -b. Let l(h) = -2*h**2 - 18*h - 34. Let v be l(-5). Solve z*f + 2*i + 10 = 0, 2 = -4*f + v*f - 4*i for f.
-3
Let k(u) = u**3 + 8*u**2 + u - 4. Let v be k(-8). Let h be (-2)/(-6) + (-8)/v. Let c be 4 - 4 - (-16 + h). Solve 5*g + 3*w - 3 = 0, w + c = 5*g - 4 for g.
3
Let l(a) = -11*a**3 - a + 1. Let t be l(1). Let h = 11 + t. Solve h = 5*b - 4*u + 45, 6*b - 5*u = b - 50 for b.
-5
Let d(u) = 2*u**3 - 11*u**2 + 5*u + 3. Let q be d(5). Solve 2*w = 2*o + 3*w + 3, -24 = q*o - 5*w for o.
-3
Suppose -6*g + g = p - 5, -4*g + 3*p = -23. Suppose -g*n + 3*n = 8. Solve n + 8 = 4*z + 4*f, 5*f = 4*z - 25 for z.
5
Let q be -4 + (-1)/2*-2. Let x be 17/(-3)*(-9)/q. Let p = -12 - x. Solve -2*v + 3*n + 3 = -v, p*n - 2 = 4*v for v.
-3
Let m = -2 - -2. Let g be (0 - 0 - m) + 1. Let h(w) = 6*w - 1. Let f be h(g). Solve 2*o - f*u + 7 = 0, -3*o - u = -2*o for o.
-1
Let l(h) = h**3 + 6*h**2 + 15. Let v be l(-6). Solve j = -3, 4*p + 5*j = p - v for p.
0
Suppose -6*r - 115 = -11*r. Solve 2*x + 10 = d + 2, r = -4*d - 3*x for d.
-2
Let g(u) = 0*u + 1 - 2*u - 2*u**2 + 7*u**2. Let p be g(1). Solve -3*i = p*q - 24, -q - 3*i + 8 + 7 = 0 for q.
3
Suppose 0 = 5*h - 5*w - 20, -3*h - 4*w = -0*h + 2. Let k be 2 - (2 + -3)*h. Solve -4 = k*u + 3*c, | {
"pile_set_name": "DM Mathematics"
} |
19 + 5167*y.
25*y + 4
Collect the terms in 3863*v - 7721*v + 3866*v.
8*v
Collect the terms in -220 - 838*w + 103 + 119.
-838*w + 2
Collect the terms in 752*k**3 - 10 + 10 - 723*k**3.
29*k**3
Collect the terms in 23*y**3 - 31 + 5*y**3 - 12*y**3 + 30 + 24*y**3.
40*y**3 - 1
Collect the terms in -7*y**2 + 1215*y + 1222*y - 3656*y + 1219*y.
-7*y**2
Collect the terms in -592*p**2 + 329*p**2 + 298*p**2.
35*p**2
Collect the terms in -2*j**3 - 2*j**3 - 3 + 199*j - 199*j - j**3.
-5*j**3 - 3
Collect the terms in 11*v**3 - v - 38*v - 19*v**3 + 162*v + 10*v**3.
2*v**3 + 123*v
Collect the terms in 18 - 365*q**3 + 4 - 9 - 13.
-365*q**3
Collect the terms in -2*l**2 - l**2 + 12*l**2 + 2*l**2.
11*l**2
Collect the terms in -2*p**3 - 4*p**3 + 0*p**3 - 128*p**2 + 4*p**3.
-2*p**3 - 128*p**2
Collect the terms in -9 - 1 + 3*f + 53 - 15.
3*f + 28
Collect the terms in -75044 + 150091 - s**3 - 75047.
-s**3
Collect the terms in 0*r**2 - 615*r**3 + 1649*r**3 + 0*r**2.
1034*r**3
Collect the terms in -12*q**2 - 9*q**2 + 132*q + 4*q**2 + 3 + 30*q.
-17*q**2 + 162*q + 3
Collect the terms in 1288*r**2 - 3*r**3 - 1288*r**2.
-3*r**3
Collect the terms in 3*c**3 + 590905*c**2 - 590905*c**2 - 10*c**3.
-7*c**3
Collect the terms in -2492*s**2 + 4922*s**2 - 195*s**2 + 7187*s**2.
9422*s**2
Collect the terms in 4 + 102*i**2 - 4 - 26*i**2 + 86*i**2.
162*i**2
Collect the terms in -13*w**2 - 16*w**2 - 49*w**2 + 65*w**2.
-13*w**2
Collect the terms in -210*g**2 + 85*g**2 + 82*g**2 + 72*g**2.
29*g**2
Collect the terms in -1912*s**3 + 3*s - 132*s**3 - 3*s + 141*s**3.
-1903*s**3
Collect the terms in q**3 + 5*q + 4*q - 7 + 11*q - 20*q.
q**3 - 7
Collect the terms in -714*c + 1514*c - 774*c.
26*c
Collect the terms in -626*f**2 + 289*f**2 + 298*f**2.
-39*f**2
Collect the terms in -738*d + 372*d + 366*d + 7703*d**2.
7703*d**2
Collect the terms in -26324*k + 52667*k - 26343*k - 3*k**3.
-3*k**3
Collect the terms in -40*f**2 + 17368 - 17368.
-40*f**2
Collect the terms in -11*t**3 + 39*t**2 - 38*t**2 + 635 + 12*t**3.
t**3 + t**2 + 635
Collect the terms in -4547*b**3 - 4543*b**3 + 13637*b**3 - 4544*b**3.
3*b**3
Collect the terms in 508*j**2 - 5*j + j + j + 119*j**2.
627*j**2 - 3*j
Collect the terms in 77*w - 224*w + 73*w + 75*w.
w
Collect the terms in 293*u - 716*u - 5333*u - 1785*u.
-7541*u
Collect the terms in -10273 + 10273 - b - 8*b + 7*b.
-2*b
Collect the terms in -328*d + 328*d + 366*d**2 - 83*d**2.
283*d**2
Collect the terms in 151*q**2 + 408*q**2 + 177*q**2 - 40*q**2 - 52*q**2.
644*q**2
Collect the terms in -110367*h**2 - 110365*h**2 + 220735*h**2.
3*h**2
Collect the terms in 35*u - 21*u**3 - 19*u - 16*u + 20*u - 20*u.
-21*u**3
Collect the terms in -2*z + 7*z + 2*z + z - 18*z + 6*z.
-4*z
Collect the terms in -7 - 1 + c - 12 - 4*c + 20.
-3*c
Collect the terms in -20 - 533*c + 10 - 528*c + 1059*c + 10.
-2*c
Collect the terms in z - 146 + 52 - 2*z - 109.
-z - 203
Collect the terms in m**3 + 14 - 29 - 36 + 91 - 40.
m**3
Collect the terms in -411*q**2 - 412*q**2 + 1223*q**2 - 423*q**2.
-23*q**2
Collect the terms in -26 + 46*z**2 - 201*z**2 + 47*z**2 + 52*z**2 + 57*z**2.
z**2 - 26
Collect the terms in 29*b + 34*b - 54*b.
9*b
Collect the terms in 16*l**2 - 97*l**2 - 60*l**3 + 58*l**3.
-2*l**3 - 81*l**2
Collect the terms in 212 - 4*j**3 - 18 - 194 + 2*j**3 - 4*j**3.
-6*j**3
Collect the terms in -819510 + 0*n - 3*n + 819510.
-3*n
Collect the terms in 1993*s**2 + 1949*s**2 - 3942*s**2 + 4*s**3.
4*s**3
Collect the terms in -52*g - 1181 + 1107*g**2 - 1108*g**2 + 1181.
-g**2 - 52*g
Collect the terms in 4 - 5 + 13921*m + 1.
13921*m
Collect the terms in -14*o + 9*o - 9*o + 7*o.
-7*o
Collect the terms in -7675*b - 7677*b - 7672*b - 7670*b + 30694*b - 3*b**2.
-3*b**2
Collect the terms in -5*z**3 - 23 - 12 + 18 + 17 + 2*z**3.
-3*z**3
Collect the terms in -8*m**2 + 12*m**2 - 42*m**2 - 31*m**2.
-69*m**2
Collect the terms in -536 + 0*c - 7*c + 198 - 10*c.
-17*c - 338
Collect the terms in -104*f**3 - 81*f**3 + 349*f**3 - 77*f**3 - 85*f**3.
2*f**3
Collect the terms in -o - o + 3*o + 13*o + 3*o - 20*o.
-3*o
Collect the terms in 6791*s - 13571*s + 6788*s.
8*s
Collect the terms in 4*m**2 + 301*m**3 - 4*m**2 - 450*m**3 - 365*m**3.
-514*m**3
Collect the terms in w**2 + 99 + 115 + 117 + 111 - 442.
w**2
Collect the terms in -8 + 27 - 16 + 114*m**3 - 115*m**3 - 24.
-m**3 - 21
Collect the terms in 5583 + 5593 - 16*d**2 - 11176.
-16*d**2
Collect the terms in 0 + 0 - 2042*w + 241927*w.
239885*w
Collect the terms in 249253512 - 249253512 + 5*h**3.
5*h**3
Collect the terms in -19*h + 43*h - 18 - 8*h - 11*h.
5*h - 18
Collect the terms in -8*b**3 - 18*b**3 - 28*b**3 - 3*b + 0*b.
-54*b**3 - 3*b
Collect the terms in 785*b - 262*b - 266*b - 257*b - 39*b**3.
-39*b**3
Collect the terms in -1 + 1 + 8773*b + 10697*b.
19470*b
Collect the terms in -2905*r**3 - 1 + 1 + 2910*r**3.
5*r**3
Collect the terms in -3436*b + 1693*b + 1746*b.
3*b
Collect the terms in 1193*a**3 + 2392*a**3 + 779*a**3.
4364*a**3
Collect the terms in 5030*f**2 - 1677*f**2 - 1682*f**2 - 1674*f**2.
-3*f**2
Collect the terms in 11228*o**3 - 52 + 52.
11228*o**3
Collect the terms in 33121*x**2 - 33131*x**2 - 292*x + 292*x.
-10*x**2
Collect the terms in 16546 - k**3 - 3*k**3 - 33087 + 16541.
-4*k**3
Collect the terms in -12693*v**2 + 5 - 6404*v**2 - 5.
-19097*v**2
Collect the terms in 26*k + 19*k + 2*k + 36*k + 20*k - 107*k.
-4*k
Collect the terms in 69*o + 4*o**3 + 17*o**3 + 124*o - 5*o**3 - 193*o.
16*o**3
Collect the terms in -2206 + 4400 + 18*r**3 - 2194.
18*r**3
Collect the terms in 0 + 0 - 10*g**3 + 17*g**2 + 2*g - 6*g**3.
-16*g**3 + 17*g**2 + 2*g
Collect the terms in 148*p**2 - 11*p**2 - 13*p**2.
124*p**2
Collect the terms in -17*n - 10*n - 6*n + 41*n - 5*n.
3*n
Collect the terms in -66 - 135 + 201 + 22*c.
22*c
Collect the terms in -19*z**2 - 16*z**2 - 5632 + 5632 - 21*z**2.
-56*z**2
Collect the terms in 80*r**2 + 394*r + 126 - 42*r**2 - 39*r**2 - 394*r.
-r**2 + 126
Collect the terms in 23 - 10 + 2758*w**3 - 13.
2758*w**3
Collect the terms in -12*w - 78*w + 73*w.
-17*w
Collect the terms in 71*q**3 + 141*q - 885*q**3 - 273*q + 132*q.
-814*q**3
Collect the terms in -6 - 675*k**2 - 106*k**2 + 7.
-781*k**2 + 1
Collect the terms in -1023 - 907 + 209 - i.
-i - 1721
Collect the terms in -157*v + 893*v + 285*v.
1021*v
Collect the terms in -28*j**3 - 31*j**3 + 133*j**3 - 66*j**3 - 7*j**3.
j**3
Collect the terms in -2*m + 3 + 5 - 4 + 3*m - 15*m.
-14*m + 4
Collect the terms in -4 - 20 - 5*n - 4*n.
-9*n - 24
Collect the terms in 152*t**3 - 260*t**3 + 109*t**3.
t**3
Collect the terms in 891*l**2 - 420*l**2 - l + l - 434*l**2.
37*l**2
Collect the terms in 330 - 310*d**3 - 330 - 316*d**3 + 624*d**3.
-2*d**3
Collect the terms in 2263*n**2 - 8876*n + 8876*n - 6546*n**2.
-4283*n**2
Collect the terms in 68 - 2582*a**2 - 68 + 2859*a**2.
277*a**2
Collect the terms in -8*z - 5 + 66*z - 25*z - 14*z - 1.
19*z - 6
Collect the terms in -12*n + 134395714 - 134395714.
-12*n
Collect the terms in -p**3 - 3*p**3 - 26*p**2 - 7*p**2 + 31*p**2.
-4*p**3 - 2*p**2
Collect the terms in -41 - 4*l + 49 - 43.
-4*l - 35
Collect the terms in l**2 + 41*l**3 + 0*l - 7*l - 211*l**3.
-170*l**3 + l**2 - 7*l
Collect the terms in -173893 - 173902 + 5*u**3 + 347795.
5*u**3
Collect the terms in -8448*u**3 - 8463*u**3 + 16904*u**3.
-7*u**3
Collect the terms in 0*z**3 + 8648*z**2 + z**3 + 8524*z**2 + 8648*z**2 - 25820*z**2.
z**3
Collect the terms in 45*d - 2*d**2 - 2*d - 97 - 5*d - d**2.
-3*d**2 + 38*d - 97
Collect the terms in 0*v**3 + 2604*v + 3*v**3 + 153*v**2 - 2602*v.
3*v**3 + 153*v**2 + 2*v
Collect the terms in 29 - 10*t - 60 + t + 25.
-9*t - 6
Collect the terms in 159932*c + 6*c**3 - 159932*c + 11*c**3.
17*c**3
Collect the terms in 0*h**3 - h**3 + 278447*h**2 - 278447*h**2 + h**3 + 4*h**3.
4*h**3
Collect the terms in -108*f**2 + 180*f**2 - 78*f**2.
-6*f**2
Collect the terms in -6*y - 45547*y**2 + 45541*y**2 + y.
-6*y**2 - 5*y
Collect the terms in -11*n + 6*n - 7 - 2*n.
-7*n - 7
Collect the terms in -18880*g**2 + 9444*g**2 + 9435*g**2.
-g**2
Collect the terms in 25 - 25 - 83*z**2.
-83*z**2
Collect the terms in 306*k**3 + 8 + 145*k**3 - 578*k**3 - 8.
-127*k**3
Collect the terms in 13*v**2 - 22667268*v + 22667268*v.
13*v**2
Collect the terms in c + 12 + 81*c**3 - 12 + 116*c**3.
197*c**3 + c
Collect the terms in -31*x | {
"pile_set_name": "DM Mathematics"
} |
)/(-42))/(2/51000). What is p rounded to the nearest one million?
2000000
Suppose -2*x - 9 = -3*x. Let r = x + -6. Suppose -r*t + 4*s = -209992, -2 = -s - 0*s. Round t to the nearest one hundred thousand.
100000
Let a = -6 + 8. Suppose 2*x = 3*l + 3 - 11, 3*x - 1 = -a*l. Suppose l*p + 659980 = -v - 3*v, -989995 = 3*p + v. What is p rounded to the nearest 100000?
-300000
Suppose 0*t = -2*t. Suppose t = 13*c + c - 280000. Round c to the nearest 100000.
0
Let b = -0.3589997486 - -0.359. What is b rounded to 7 decimal places?
0.0000003
Let t be (-4)/9 - (-1682932)/(-153). Round t to the nearest one hundred thousand.
0
Let y = 84640.9998 + -84629. Let x = -1.4 + 13.4. Let q = y - x. Round q to three decimal places.
0
Let k = -5513.732 + 5778.8. Let x = k - 264. Let d = x + -1.1. What is d rounded to 2 decimal places?
-0.03
Let s = 44886 - -135114. What is s rounded to the nearest 1000000?
0
Let l = 412.00002397 + -412. Round l to 6 dps.
0.000024
Let x = -0.446 + 182.446. Let o = x - 108. Let h = o - 74.53. Round h to 1 decimal place.
-0.5
Let k = 0.096 + 61.904. Let w = 113 - k. Let b = -51.049 + w. Round b to 2 dps.
-0.05
Let d be 26/(-4)*-2 - 3. Let h = d - 7. Let p be 25*(-1128)/(h - 0). Round p to the nearest 1000.
-9000
Let l(o) = -o + 18. Let h be l(14). Let k be 1/h - (-106419)/(-76). What is k rounded to the nearest one hundred?
-1400
Let g = 69 + -979. Let u be 7*(-10)/(-35)*g. What is u rounded to the nearest 100?
-1800
Let x = 6.95 - 7. Let n = -1.17 - -1.1. Let s = n - x. Round s to two decimal places.
-0.02
Let m = -6.760000618 + 6.76. Round m to seven decimal places.
-0.0000006
Let k = -8.115045398 - 42.884955392. Let o = 51 + k. Round o to seven dps.
-0.0000008
Let z = 158.6 - 156. Let v = 2.449 - z. Round v to 2 decimal places.
-0.15
Let b = 70754 + -29354. What is b rounded to the nearest 1000?
41000
Let f = -110.11 + 1.11. Let j = -110.46 - f. Round j to 1 decimal place.
-1.5
Let l(j) = j**2 - 13*j + 6. Suppose -5*v + 39 + 21 = 0. Let a be l(v). Let m be 1 + 32174*69/a. What is m rounded to the nearest 100000?
-400000
Let n = 14579 + -14578.39998. Let b = 2.4 - 3. Let d = b + n. Round d to 4 dps.
0
Let l = 114 + -36. Let b = -77.8276 + l. Let d = b - 0.17. What is d rounded to 3 dps?
0.002
Let s = -6172 + 6178.882. Let j = s - 0.082. Let v = -8.14 + j. Round v to 1 dp.
-1.3
Let r = 23.8 + 52.7. What is r rounded to zero decimal places?
77
Let d = 16034 - 16035.3998. Let h = -1.38 - d. What is h rounded to three decimal places?
0.02
Suppose 5 = 3*c + 4*n, 2*c + 4*n + 1 = 3. Let t be 2 + 10/(-2) + c. Suppose -2*s + 6*s + 3400 = t. What is s rounded to the nearest one hundred?
-900
Let l = -4.17 - -4.05. Round l to 2 dps.
-0.12
Let n(q) be the third derivative of -4859999*q**4/24 + 5*q**3/6 + 15*q**2. Let s = 8 + -13. Let t be n(s). Round t to the nearest one million.
24000000
Let v(h) = h**2 + 12*h + 12. Let z(a) = a**2 + 11*a + 11. Let b(d) = 3*v(d) - 4*z(d). Let n be b(-8). Let p be 99 - 5*n/(-20). Round p to the nearest ten.
100
Let b = 0.63 - 20.63. Let d = 19.999 + b. Round d to two dps.
0
Suppose -99 - 61 = -16*t. Suppose -t*c = -6*c - 1760000. Round c to the nearest 1000000.
0
Let f = 7.5 + 76.5. Let r = -0.5035 - -83.6835. Let o = r - f. Round o to one decimal place.
-0.8
Let t = 836 + -966.2. Let n = -116 - t. Let m = 0.7 - n. Round m to the nearest integer.
-14
Let r = -6.55 + 6.554433. What is r rounded to 3 dps?
0.004
Let z = -1091.987552 - -1092. What is z rounded to three decimal places?
0.012
Suppose -1914000 = 2*w - 4*v, -w + 208508 - 1165508 = -v. What is w rounded to the nearest 100000?
-1000000
Let f = 470 - 467.89. Let p = 0.11 - f. Let l = 1.976 + p. Round l to 2 dps.
-0.02
Let r = 0.0434 + -0.043683. What is r rounded to five dps?
-0.00028
Let f = -452.999743 - -453. What is f rounded to four decimal places?
0.0003
Let m = 268.1404 + 0.1596. What is m rounded to the nearest ten?
270
Let k = 0.06 + 0.49. Let s = -3.82 - -3.04. Let f = s + k. What is f rounded to 2 decimal places?
-0.23
Suppose 0 = -3*n - r + 23 + 12, 36 = 4*n - 4*r. Let y(h) = -h**3 + 12*h**2 - 11*h. Let a be y(n). Round a to the nearest one hundred.
0
Let v = 0.09 + -31.09. Let t = v + 31.071. Round t to two decimal places.
0.07
Let u(b) = 83*b**3 + 6*b**2 - 3*b - 6. Let j be ((-15)/(-10))/((-3)/18). Let g be u(j). Round g to the nearest one hundred thousand.
-100000
Let t = 11168.0006519 - 11168. What is t rounded to 5 dps?
0.00065
Let q = 876287 - 875244.851. Let p = -1041 + q. Let t = p - 1.07. Round t to 2 dps.
0.08
Let z = -0.7999672 + 0.8. Round z to 5 dps.
0.00003
Let z = -4.06 - -3.7996. Let b = z + 0.25. What is b rounded to three decimal places?
-0.01
Let p = 27.99944 + -28. What is p rounded to four dps?
-0.0006
Let h = 4281.2 - 4659. Let k = h - -459. Let d = k + -91. Round d to the nearest integer.
-10
Let d = 66 - 66.00289. Round d to 4 dps.
-0.0029
Let w = -26 + 29. Let m be (-4)/(1 - w) - -149998. What is m rounded to the nearest one hundred thousand?
200000
Suppose -4*l - 3*l = 56. Let d be -4106 - (0 + l + 4). Let u = 902 + d. Round u to the nearest 100.
-3200
Let b = -55 - -33. Let l = b - -21.99974. Round l to five dps.
-0.00026
Suppose 0 = -258*b + 252*b + 297660. What is b rounded to the nearest ten thousand?
50000
Let a = -65.198 - 41.701. Let m = a - -107.5. Round m to 1 dp.
0.6
Let d = 6.86 - 6.860005032. What is d rounded to six dps?
-0.000005
Let g = -8.748 - -9.93. Let o = g - 1.2. Let x = 0.017977 + o. What is x rounded to five decimal places?
-0.00002
Let l = 980 - 1120.2. Let w = l - -161. Let n = w + -24. What is n rounded to 0 decimal places?
-3
Let l = 0.47101139 - 0.471. Round l to 7 decimal places.
0.0000114
Let a = -989.3 + 991.30212. Let u = -1.832 + a. Let f = u - 0.17. Round f to 4 decimal places.
0.0001
Let y = 49.4 + -4.4. Let k = y + -45.0135. What is k rounded to 3 dps?
-0.014
Let q(g) = 10 - 2*g + 3*g + g - 3*g + 900*g**2. Let z be q(10). Round z to the nearest one hundred thousand.
100000
Let n(r) be the second derivative of -340007*r**3/6 - 21*r**2/2 - 52*r. Let x be n(-3). What is x rounded to the nearest one hundred thousand?
1000000
Let s be (1*15)/(30/8000). Let v be (s/(-15))/(2*2/3600). What is v rounded to the nearest 10000?
-240000
Let z = 806.5125 - 0.1125. Round z to the nearest ten.
810
Let g(l) = -l**2 - 3*l - 23800000. Let t be g(0). Round t to the nearest 1000000.
-24000000
Let x = -1.13691 + 549.36591. Let j = x + -548. Round j to 2 decimal places.
0.23
Let g = 372 + -240. Let j = g - 83. Let m = j - 49.00000023. What is m rounded to 7 decimal places?
-0.0000002
Let f = 0.58 + -0.580565. What is f rounded to 4 dps?
-0.0006
Let j(f) be the first derivative of -3916*f**2 + 8*f - 1. Let h be j(-6). Round h to the nearest 10000.
50000
Let v = 0.0788 + 123.1212. Let t = -102 + v. Round t to the nearest integer.
21
Let g = 899 - 577. Let d = -318.66 + g. Round d to 1 dp.
3.3
Let x = 1769759924.430000127 + -1769760026.43. Let o = -102 - x. Round o to seven decimal places.
-0.0000001
Let a = 795.59 - 799. Let w = -4.1 - a. Let j = w - -0.689913. Round j to 5 dps.
-0.00009
Let p be (3 + (3 - 152))*-50. Suppose 3*t = -3 + 24. Suppose t*w - p = 8*w. Round w to the nearest 1000.
-7000
Let o = -376 - -376.187. Round o to two decimal places.
0.19
Let v = -1.32 + 1.3209088. What is v rounded to four decimal places?
0.0009
Let q(r) = 34159*r + 18. Let k be q(-2). What is k rounded to the nearest ten thousand?
-70000
Let o(j) = -4298*j + 2. Let w be o(-1). Let s be 165/(-11)*w*-40. What is s rounded to the nearest 100000?
2600000
Let a = 3299 - 3327.26. Let r = -28 - a. Let m = r - 0.48. Round m to one dp.
-0.2
Let i = 0.016 + -59.016. Let m = 7785565116 + -7785565056.99999959. Let l = i + m. Round l to seven decimal places.
0.0000004
Let z be (-4)/32 + 30/(-16). Let d be 3802 - (z - 20/(-5)). Round d to the nearest one thousand.
4000
Let j = 41 - 84. Let g = -49605735 - -49605777.999961. Let w = g + j. What is w rounded to five dps?
-0.00004
Suppose 5*g + 2139 = 14189. Round g to the nearest 1000.
2000
Let k = 36 + -34. Suppose -181990 = 3*u - k*u + 2*p, -4*u - 2*p - 727990 = 0. Round u to the nearest 10000.
-180000
Let u = 28 + -31.2. Let z = u - -3.19999922. What is z rounded to 7 decimal pla | {
"pile_set_name": "DM Mathematics"
} |
uppose -10*f - 18 = -4*f. Let n be (-6)/15 + 14/10. Let k = 0 - n. Sort f, k, 0.
f, k, 0
Let o be 2/8 - 39/12. Suppose 2*d - 43 = -3*v, 3*d - 2*d = -5*v + 74. Let i(a) = a - 17. Let w be i(v). Sort w, 1, o in increasing order.
o, w, 1
Let r = 2 + -1.8. Let c = 1739.98 - 1740. Put r, c, -1 in decreasing order.
r, c, -1
Let u(f) = f**3 - 5*f**2 - 4*f - 8. Let q be u(6). Suppose -8 = -t - 5. Let r(x) = -x**3 + 6*x**2 + 6*x + 3. Let i be r(7). Sort i, t, q in descending order.
q, t, i
Suppose -4*q - 21 = 35. Let b = 13 + q. Let p = 1 - 7. Sort 3, p, b.
p, b, 3
Let x be 5 - 4 - (-21 - -2). Suppose -21*s = -x*s + 6. Let o be 4/(-10) + 8/20. Sort o, 2, s in decreasing order.
2, o, s
Let a = -0.0984 - 16.6816. Let p = a - 0.22. Let w = p - -16.3. Put 4/5, w, -0.3 in decreasing order.
4/5, -0.3, w
Let f = 18 - 32. Let n = 16 + f. Suppose 2*a - 3*o - 3 = 0, -5*o = -6*a + a. Sort 3, n, a.
a, n, 3
Let v = -6 + 20. Suppose -4*o + 4*q - 2*q - 36 = 0, 2*q = -4. Let w = v + o. Sort 0, 1, w in descending order.
w, 1, 0
Suppose 316*i - 315*i - 5*w = -3, -9*w + 9 = -3*i. Let y = 5 + -2. Put y, 1, i, 2 in decreasing order.
y, 2, 1, i
Let g = 3023/6 - 504. Let w = 0.27 + -0.77. Sort 2/21, g, w in descending order.
2/21, g, w
Suppose -9 = u + t, -2*u - 3 = -u + 4*t. Let y(s) = s**2 + 12*s + 7. Let w be y(u). Put -1, w, 4 in descending order.
4, -1, w
Let j = 6.88 - 101.68. Let t = j + 95. Let u = 0.1 + 0.9. Sort -3, t, u in descending order.
u, t, -3
Let n = 191 + -190.7. Put 5, 2, n, -2/11 in descending order.
5, 2, n, -2/11
Suppose 9 = 3*t - 3*i, 5*t - 6*t + 5 = -2*i. Let q = -10 + 6. Sort -3, t, q in descending order.
t, -3, q
Let s = -7045 + 119763/17. Suppose 0*q - 3 = -q. Put s, -2/13, q in ascending order.
-2/13, s, q
Let i = 30 - 64. Let u = 29 + i. Let t be ((-6)/15)/(1/u). Sort 1, 4, t in descending order.
4, t, 1
Let c = 1 + -2. Suppose q - 1 = 2*q + 5*j, -4*j + 8 = 3*q. Suppose 2*u + 3*u = -30. Put q, u, c in ascending order.
u, c, q
Let s = -1010 - -1014. Let j be 1/3 + (-8)/(-3). Put 0, -6, j, s in decreasing order.
s, j, 0, -6
Let z be 5/(4/(7 - 3)). Let g = 40.2 + -40. Sort g, 3, z in increasing order.
g, 3, z
Let z = 17523 + -17521. Let t = 1 + -1.1. Put z, t, 14 in increasing order.
t, z, 14
Suppose -4*b = -3*b - 8. Let q = -210 - -211. Put q, 3, b, -1 in descending order.
b, 3, q, -1
Let a(o) = 17*o**2 + o**3 - o**3 - o**3 + 18 - 24*o**2 + 3*o. Let m be a(-7). Sort -28, m, -5 in decreasing order.
m, -5, -28
Let w = -51 + 53. Let b = -7.5 + 8. Put -5, b, w in decreasing order.
w, b, -5
Let d be ((-750)/(-27) - 3) + (-6)/(-27). Sort d, 4, -4, 5 in descending order.
d, 5, 4, -4
Suppose 0 = -7*x + 2*x - 5. Let y = -1 + x. Let t be ((-40)/(-30))/(y/3). Sort 5, 2, t in ascending order.
t, 2, 5
Let x = 0.11 - -1.89. Sort x, -1/47, -4 in increasing order.
-4, -1/47, x
Let q = -98 + 104. Sort q, 3, 1 in descending order.
q, 3, 1
Suppose -x - 3*m = -4*x + 81, -4*x - 2*m = -114. Put 2, -4, x, -5 in decreasing order.
x, 2, -4, -5
Let v = -0.5 + 0.1. Let j = -7525/4 + 1881. Sort 9, -2/9, j, v in decreasing order.
9, -2/9, j, v
Suppose -5*u - 26 = -3*h, -4*u - 5 - 15 = -2*h. Let m be ((-7)/(-21)*0)/2. Sort 6, h, m in ascending order.
m, h, 6
Let q = 66.4 + -66.5. Sort -46, -1/3, -1/9, q in ascending order.
-46, -1/3, -1/9, q
Let s be 23 + ((-16)/(-40) - (-12)/(-5)). Let f(y) = -y**3 - 4*y**2 + 8. Let c be f(-2). Sort -4, c, s in increasing order.
-4, c, s
Suppose 3*w - a + 5 = 0, 99*w - 97*w + 3*a + 7 = 0. Let l be 18/(-2) - 8/(-8). Sort l, -1, w, 1 in descending order.
1, -1, w, l
Let z = 30 - 22. Let q(p) = p**2 + 7*p + 8. Let j be q(-6). Suppose -o - 2*k + 9 = 0, -23 = -4*o + o - 4*k. Put z, j, o in increasing order.
j, o, z
Suppose -13*x - 2*g + 12 = -15*x, 6 = -5*x - 3*g. Let i = -5 + 8. Sort x, -1, i.
x, -1, i
Let p = 1584 - 1587. Suppose -2*t = 4, s + 5*t - 2*t + 2 = 0. Suppose 3*h = y - 11, 6*y = -s*h + 3*y - 32. Sort h, p, -2 in descending order.
-2, p, h
Let v = 955 - 955.2. Sort v, -2, 4, -2/23.
-2, v, -2/23, 4
Let f = 0.098 - 0.198. Sort f, -3, -0.15.
-3, -0.15, f
Let r = 0.686 + -0.286. Put r, -3/2, -4, 0.33 in increasing order.
-4, -3/2, 0.33, r
Suppose -13*r = 106 - 67. Put r, 1, 5, 32 in descending order.
32, 5, 1, r
Let f = 508 - 512. Let c(j) = -j**2 + 12*j + 4. Let i be c(12). Put i, f, 2, 9 in descending order.
9, i, 2, f
Suppose -2*c + 3*l = -3, 2*c - 8 = -2*c + 4*l. Suppose -3*o + 0 + 1 = -2*p, p + c = -o. Sort -4, o, 3 in ascending order.
-4, o, 3
Suppose 4*r + 22 = -r - v, -19 = 5*r + 2*v. Let h be (-4)/8 + 2/4. Suppose -5*o - 3*z = 20 - 50, 3*o - z - 4 = h. Sort 0, o, r in decreasing order.
o, 0, r
Let u = 1 - 0.9. Let n = 7578.2 + -7578. Put -3/5, n, u in descending order.
n, u, -3/5
Suppose 0 = -0*m - 3*m - 9. Let h(z) = z + 2. Let n be h(m). Suppose -2*a = 5*g - 4, 3*a + 3*g - 3 = -6. Put a, n, 1 in ascending order.
a, n, 1
Let l be 2 - 2 - (-3 + -2). Sort 4, l, -5, -17 in ascending order.
-17, -5, 4, l
Let h = -1406 + 1405.7. Put -18/11, 5, h in ascending order.
-18/11, h, 5
Let l = -266.102 - -266. Sort 1/2, -1/8, l in descending order.
1/2, l, -1/8
Let y(q) = q**2 + 36*q + 133. Let f be y(-32). Sort f, 4, -27, 0 in descending order.
f, 4, 0, -27
Let z be 980/(-294)*(-1)/25. Sort 1, 11, z.
z, 1, 11
Suppose 0*v + 2 = v, 5 = b + v. Suppose x + b - 1 = 0. Sort x, 4, 2.
x, 2, 4
Let b(r) = r**3 - 7*r**2 + 11*r - 5. Let c be b(6). Suppose 0 = -2*v - 2*n + 42, 2*v + 5*n + 7 = 49. Let s = c - v. Put s, 0, 2 in decreasing order.
s, 2, 0
Suppose -3*h = 4*j - 6, -4*h - 10 = -3*j - 9*h. Suppose 2*v - s - 12 = -2*v, j = -v - 2*s + 12. Suppose u - v = -u. Sort 5, u, -5 in descending order.
5, u, -5
Suppose 4*m + 11 = 3*j, -j - 1 + 10 = 4*m. Sort j, -13, 3 in decreasing order.
j, 3, -13
Suppose 83 = -3*x + 56. Sort 2, 5, x in ascending order.
x, 2, 5
Let h(g) = -g + 28. Let i be h(25). Suppose -a + 2*q = -i*a - 6, -q = -2*a + 9. Put a, -4, 3 in decreasing order.
3, a, -4
Let u(z) = 10 + 7 + 0 + 3 + 4*z. Let y be u(-5). Sort -4, y, 3, -8 in increasing order.
-8, -4, y, 3
Let o be (-36)/10 - -6*2/3. Sort -1, 3, -2, o in descending order.
3, o, -1, -2
Let b = -3 - -1. Let i = 5 + b. Let a = -248.2 - -248. Put 0.2, i, a in descending order.
i, 0.2, a
Let r = 20 - 19.79. Let n = -0.51 + r. Let s = 2.7 - n. Sort s, -0.4, -1/7 in increasing order.
-0.4, -1/7, s
Let u(w) = -w**3 + 4*w**2 + 8*w + 3. Let p be u(6). Let t be 18/21*p/(-6). Sort -5, -6, t in descending order.
t, -5, -6
Let b be (-7)/(61152/(-4168)) + (-4)/(-14). Let z = b - 1/78. Sort 0.5, 5/2, z, 2/5 in increasing order.
2/5, 0.5, z, 5/2
Suppose -6*m + 1 = 31. Put -21, 2, m in decreasing order.
2, m, -21
Let x = -998 - -998.09. Put 2/15, -2/11, x in ascending order.
-2/11, x, 2/15
Let m = -136 + 141. Sort -2, 0, m in ascending order.
-2, 0, m
Let w = 11 - -11. Let f be (-16)/(-6) + w/66. Suppose -x + 2 = -3. Put x, -5, f in ascending order.
-5, f, x
Let f(h) = -h**3 - 5*h**2 - 2*h + 9. Let d be f(-3). Sort -2, d, -2/13, 1/9 in descending order.
1/9, -2/13, -2, d
Let s = -6.15 - -6. Let l = 0.713 - 0.813. Sort l, s, -1 in decreasing order.
l, s, -1
Let c(p) = -13*p - 303. Let b be c(-23). Put -14, -3, b in increasing order.
-14, b, -3
Let y = -0.3 - -0.3. Let i = -0.6 + -99.4. Let r = 99.5 + i. Put y, 2, r in increasing order.
r, y, 2
Suppose 2 = -3*a + 5, u + 2 = 5*a. Suppose 3*n + g - 16 = 3*g, 5*g = -2*n - 2. Sort -11, u, n in increasing order.
-11, u, n
Suppose -j - 13 = 3*n, -4*j - 19 - 1 = 4*n. Let i be (-4 - 1 - j)/1. Suppose 2*a - 5*u + 30 = 0, 3*u - 25 = 3*a + 2. Sort i, a, 1 in decreasing order.
1, i, a
Let n = -2 + -2. Let b = 0.67 + -0.57. Put b, -3, 4, n in decreasing order.
4, b, -3, n
Let i(v) = v + 8. Let s = -22 - -18. Let c be i(s). Put -6, c, -2 in decreasing order.
c, -2, -6
Let t = -267 - -267. Sort 20, 1, t in decreasing order.
20, 1, t
Let z = 24.1 - 25.1. Put 40, -0.5, z in decreasing order.
40, -0.5, z
Let z = 90 - 901/10. Sort -0.4, z, -5, -7/3 in descending order.
z, -0.4, -7/3, -5
Let a = -3759 + 3759.2. Let o = -3 - -1. Put o, -3, 4/3, a in decreasing order.
4/3, a, o, -3
Let v be (-69)/6*-1*2. Let f = v + -25. Sort f, 1/7, -4 in descending order.
1/7, f, -4
Let f = 4 - 3. Let o = -4208 + 4212. Sort f, 2/7, o in decreasing order.
o, f, 2/7
Let l be 0 + 5 + ( | {
"pile_set_name": "DM Mathematics"
} |
of sequence qjw when three letters picked without replacement from wqwjdwdwdjq.
8/495
Two letters picked without replacement from {h: 1, t: 1, f: 2, w: 1}. Give prob of sequence tf.
1/10
Calculate prob of sequence uu when two letters picked without replacement from {u: 2, w: 1, d: 2, m: 1, t: 1}.
1/21
Four letters picked without replacement from {o: 3, r: 5, a: 2, c: 2, s: 1, l: 6}. Give prob of sequence coca.
1/7752
What is prob of sequence hhh when three letters picked without replacement from {h: 7, b: 2}?
5/12
Three letters picked without replacement from yyybybyyyyy. Give prob of sequence byb.
1/55
What is prob of sequence jdjd when four letters picked without replacement from jjddjjjjjjjjjdjjjddj?
35/969
What is prob of sequence ci when two letters picked without replacement from {c: 5, i: 1, k: 7}?
5/156
Calculate prob of sequence eenn when four letters picked without replacement from {n: 8, e: 5}.
28/429
Two letters picked without replacement from {s: 15, h: 4}. What is prob of sequence hh?
2/57
What is prob of sequence htk when three letters picked without replacement from uuthskth?
1/84
Calculate prob of sequence jj when two letters picked without replacement from {i: 1, j: 3, v: 3}.
1/7
What is prob of sequence gg when two letters picked without replacement from {g: 7, l: 4}?
21/55
Two letters picked without replacement from lwllww. What is prob of sequence ll?
1/5
Four letters picked without replacement from csdis. Give prob of sequence siii.
0
Four letters picked without replacement from {b: 1, s: 2, p: 1, a: 4, o: 5, q: 2}. What is prob of sequence oaqs?
2/819
What is prob of sequence vv when two letters picked without replacement from {v: 6}?
1
What is prob of sequence gg when two letters picked without replacement from {y: 2, g: 6, q: 1, n: 2}?
3/11
Calculate prob of sequence ryg when three letters picked without replacement from {y: 1, g: 3, t: 1, r: 4, v: 1, k: 2}.
1/110
Two letters picked without replacement from dzdzuzmdudddmnzd. Give prob of sequence uz.
1/30
Three letters picked without replacement from {p: 7, e: 5, d: 3, w: 1}. Give prob of sequence dpp.
3/80
Two letters picked without replacement from {c: 9, l: 3}. What is prob of sequence cc?
6/11
What is prob of sequence jx when two letters picked without replacement from {j: 11, x: 2}?
11/78
Calculate prob of sequence omm when three letters picked without replacement from maccataoatatamoaaca.
2/2907
Three letters picked without replacement from mqymwmuuuwu. What is prob of sequence ymw?
1/165
What is prob of sequence knn when three letters picked without replacement from nlurklkn?
1/84
Calculate prob of sequence pd when two letters picked without replacement from {d: 4, r: 1, z: 7, w: 6, p: 2}.
2/95
Calculate prob of sequence op when two letters picked without replacement from {u: 9, p: 1, o: 1}.
1/110
Three letters picked without replacement from {b: 2, j: 4, p: 2, c: 2, t: 2}. Give prob of sequence jbp.
2/165
Calculate prob of sequence ene when three letters picked without replacement from {n: 7, e: 4}.
14/165
Three letters picked without replacement from {t: 5, f: 3, h: 2}. What is prob of sequence tff?
1/24
Calculate prob of sequence kk when two letters picked without replacement from kssysksk.
3/28
Calculate prob of sequence na when two letters picked without replacement from {q: 1, n: 2, a: 2, w: 2, c: 1}.
1/14
What is prob of sequence tm when two letters picked without replacement from ttttmm?
4/15
Two letters picked without replacement from qoqqoqqqqoqqqqoqqq. What is prob of sequence oq?
28/153
Calculate prob of sequence kc when two letters picked without replacement from {c: 4, j: 1, m: 6, e: 1, k: 3, u: 5}.
3/95
What is prob of sequence hyjj when four letters picked without replacement from johjyyyyjjjjj?
7/715
Calculate prob of sequence tz when two letters picked without replacement from {z: 2, t: 2, j: 1, y: 1}.
2/15
Four letters picked without replacement from zzzznzzznzzzzzznzn. What is prob of sequence zznz?
91/765
Two letters picked without replacement from gvugugvuvuuhu. Give prob of sequence gg.
1/26
What is prob of sequence yfz when three letters picked without replacement from mfnyyyzy?
1/84
Four letters picked without replacement from rwlmlrlwsw. What is prob of sequence lswl?
1/280
Four letters picked without replacement from {s: 3, x: 5, t: 2}. Give prob of sequence sstt.
1/420
Two letters picked without replacement from {k: 11, n: 1}. What is prob of sequence nk?
1/12
Three letters picked without replacement from {q: 2, p: 1, l: 2, f: 1, c: 1, e: 1}. Give prob of sequence cqq.
1/168
Calculate prob of sequence ebx when three letters picked without replacement from {b: 1, e: 1, n: 1, x: 2, p: 4, v: 3}.
1/660
Four letters picked without replacement from veeeeeveeeleeeeve. What is prob of sequence leve?
39/4760
Calculate prob of sequence msyz when four letters picked without replacement from {m: 2, s: 1, z: 1, y: 1}.
1/60
Three letters picked without replacement from {x: 1, s: 2}. What is prob of sequence sxs?
1/3
Calculate prob of sequence nn when two letters picked without replacement from {n: 8, b: 2}.
28/45
Two letters picked without replacement from jnjononjongon. What is prob of sequence on?
5/39
Four letters picked without replacement from rrdrrrdddrdr. Give prob of sequence ddrd.
7/198
Three letters picked without replacement from bwsxyuu. Give prob of sequence yxb.
1/210
Two letters picked without replacement from jmvvppvjcppm. What is prob of sequence pj?
2/33
Three letters picked without replacement from ciinnofonccj. What is prob of sequence foj?
1/660
What is prob of sequence nnqq when four letters picked without replacement from {q: 6, n: 6}?
5/66
Four letters picked without replacement from {w: 2, i: 2, m: 2, x: 2}. What is prob of sequence xwmw?
1/210
Two letters picked without replacement from {e: 2, d: 4, k: 2, m: 2, l: 1, n: 3}. Give prob of sequence dm.
4/91
Three letters picked without replacement from bbbbbbbbbtbbbbbbbttb. Give prob of sequence btt.
17/1140
Two letters picked without replacement from amammkmk. Give prob of sequence ak.
1/14
What is prob of sequence iffo when four letters picked without replacement from ioofffiooioofff?
3/182
Two letters picked without replacement from ordrcccdo. Give prob of sequence od.
1/18
Two letters picked without replacement from {d: 3, g: 2, l: 10}. What is prob of sequence gg?
1/105
Two letters picked without replacement from {o: 5, n: 9}. What is prob of sequence nn?
36/91
What is prob of sequence ccc when three letters picked without replacement from mmcmmcmccc?
1/12
Four letters picked without replacement from {e: 1, b: 8, x: 5, w: 5, n: 1}. Give prob of sequence ewww.
1/1938
Four letters picked without replacement from kkkkkkzzkzkkkk. Give prob of sequence kkzz.
5/182
Calculate prob of sequence nh when two letters picked without replacement from nghnngg.
1/14
What is prob of sequence ggmm when four letters picked without replacement from mmgbgbgg?
1/70
Four letters picked without replacement from looqoqojqqjnqpnnjlqj. Give prob of sequence npqo.
1/1615
What is prob of sequence fpn when three letters picked without replacement from {n: 4, f: 3, e: 1, p: 2}?
1/30
Two letters picked without replacement from {r: 1, l: 6, f: 11}. What is prob of sequence rl?
1/51
Calculate prob of sequence ld when two letters picked without replacement from {i: 2, d: 2, l: 2}.
2/15
What is prob of sequence cc when two letters picked without replacement from cccccccchcccccccccc?
17/19
What is prob of sequence hn when two letters picked without replacement from {n: 6, q: 3, h: 2, u: 1}?
1/11
Two letters picked without replacement from {q: 2, a: 2}. Give prob of sequence aa.
1/6
What is prob of sequence pphp when four letters picked without replacement from {h: 1, p: 12}?
1/13
Four letters picked without replacement from looavzzxxazxxlxzz. Give prob of sequence vzoz.
1/1428
Four letters picked without replacement from {z: 1, t: 1, x: 1, o: 1, j: 2, p: 2}. Give prob of sequence pjtz.
1/420
What is prob of sequence nu when two letters picked without replacement from {n: 2, b: 1, q: 1, u: 1}?
1/10
Three letters picked without replacement from {y: 1, h: 2, n: 2, v: 1}. Give prob of sequence nhv.
1/30
T | {
"pile_set_name": "DM Mathematics"
} |
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