(-88)). Suppose 8*m - n = 4*m. What is the remainder when m is divided by 4?
3
Suppose 4*c - 9 - 3 = 0. Let a(h) = h**2 + 6*h. Let l = -15 - -8. What is the remainder when a(l) is divided by c?
1
Suppose -10 = 4*u + 4*y - 58, -4*y = -3*u + 29. Calculate the remainder when 0/1 + -1 + 33 is divided by u.
10
Let m(t) be the second derivative of 0 - 1/2*t**2 + 1/6*t**3 + 1/6*t**4 - 3/20*t**5 + t. Calculate the remainder when m(-2) is divided by 10.
9
Suppose -17*b + 7*b + 170 = 0. What is the remainder when 67 is divided by b?
16
Suppose -7*n = -3*n, -5*n + 80 = 2*a. Let l = a - 2. What is the remainder when l is divided by 13?
12
Suppose 20 = -4*i, -2*r + 3*i - 8*i = 25. Suppose r = q - 5. Let x = 1 + q. What is the remainder when x is divided by 4?
2
Let o(k) = -k**3 - 2*k**2 + 8*k + 6. Let i = 10 - -1. Calculate the remainder when o(-5) is divided by i.
8
Suppose 0 = 5*r + 9 - 24. Suppose -5 = -r*s + 4. Suppose -s*c + 115 = 2*c. What is the remainder when c is divided by 12?
11
Suppose 4*o - 38 = 2*o. Calculate the remainder when o is divided by 11.
8
Let f(z) = 3 - 3 - 5*z - 3. Calculate the remainder when f(-6) is divided by 7.
6
Let k(j) = j**2 - j. Let l(g) = g**3 - 8*g**2 + g - 6. Let p be l(8). What is the remainder when p/8 - (-540)/16 is divided by k(4)?
10
Let p be (-14 + 0)*5/(-10). Let w = -2 + p. Suppose 3*i = -0*i - k + 6, w*i + 4*k - 3 = 0. What is the remainder when 7 is divided by i?
1
Suppose -o - o + 24 = 0. What is the remainder when 22 is divided by o?
10
Let n(r) = -6*r + 23*r - 7*r. What is the remainder when 38 is divided by n(2)?
18
Let f(w) be the third derivative of -w**5/60 - 5*w**4/12 - 5*w**3/3 + 2*w**2. Let n be f(-9). What is the remainder when 25 is divided by 0 + 14/1 + n?
12
Let j = 33 + -22. What is the remainder when j is divided by 2/(-9) - 224/(-36)?
5
Suppose 14 = 2*n - c, c - 18 = -3*n + 4*c. Suppose -3*x + 4*g + 13 = 3*g, -2*x - 2*g + 14 = 0. What is the remainder when n is divided by x?
3
Suppose -3*g = -g - 190. What is the remainder when g is divided by 24?
23
Let w = 81 + -38. Calculate the remainder when w is divided by 11.
10
Suppose g - 4*g + 61 = 5*t, 2*g - 4 = 0. Let o(j) = 11*j + 1. Let s be o(-1). Let r = s - -16. Calculate the remainder when t is divided by r.
5
Let a = 39 + -21. What is the remainder when 33 is divided by a?
15
Suppose -4*m - 3*w + 53 = 0, 8*m - 5*w - 42 = 7*m. Calculate the remainder when 132 is divided by m.
13
Let p = 94 - 52. Suppose 2*a - 207 = -5*d, -2*a + 3*a = -d + p. What is the remainder when d is divided by 14?
13
Let q(u) = u**3 - 4*u**2 + 4. Let c be q(4). Suppose c*t + 8 - 28 = 0. What is the remainder when t is divided by 4?
1
Suppose w - 383 = -5*d + 78, 4*d - 365 = 3*w. Calculate the remainder when d is divided by 31.
30
Suppose -4*b - 4 + 8 = 0. Let x(d) = 12*d**2 - d. Suppose o - 49 = -3*w - 3, -3*o - 3*w + 108 = 0. What is the remainder when o is divided by x(b)?
9
Suppose 5*q = 2*s - 171, 2*q + 167 = -3*q + 4*s. Let d = q - -49. Calculate the remainder when 39 is divided by d.
11
Let n(f) = f**2 + 110. Let k be n(0). Let y = k - 60. Calculate the remainder when y is divided by 17.
16
Suppose 445 = 5*f + 70. What is the remainder when f is divided by 13?
10
Let o = -59 - -127. Let y = -14 - -37. Calculate the remainder when o is divided by y.
22
Suppose 0 = 15*k - 20*k. Suppose -4*u - p + 88 = k, 2*u - 29 - 21 = p. Let c(j) = -2*j - 4. Calculate the remainder when u is divided by c(-6).
7
Let h(i) = -i**3 + 4*i**2 + i - 4. Let p be h(4). Let f = 5 + p. Suppose -f*t + 79 + 11 = 0. Calculate the remainder when t is divided by 10.
8
Suppose -2*o - 3*o - 75 = 0. Let j = o + 28. Let v(c) = 6*c + 7. What is the remainder when v(5) is divided by j?
11
Suppose -55 = 2*j - 7*j. Suppose 2*u = u - 3*t + 17, -5*u + 3*t + 85 = 0. Calculate the remainder when u is divided by j.
6
Let h(b) = 14*b**3 - 1. What is the remainder when 37 is divided by h(1)?
11
Let m be (-26)/4*(-1 + -1). Let o = m + -3. Let y(r) = r + 18. Calculate the remainder when y(0) is divided by o.
8
Suppose -w + 2 = -3. Suppose -s + 5*s = p - 14, -p - 2*s + 2 = 0. Let g = 3 + p. What is the remainder when g is divided by w?
4
Suppose 54 = 4*w - 2*w. Let z(y) = 38*y**2 - 3*y - 2. Let r be z(-2). Suppose r = 4*q - q. Calculate the remainder when q is divided by w.
25
Let g be 4*((-9)/(-6) + -1). Calculate the remainder when 22 is divided by (-4 - -5)*16/g.
6
Let h = 33 + -11. Let j = -20 - -28. Calculate the remainder when h is divided by j.
6
Suppose u = -4*u. Let n = -4 - -15. Calculate the remainder when -2*(u - -1) - -22 is divided by n.
9
Let j(y) = -y**3 + 8*y**2 - 8*y + 4. Let r be j(6). Suppose 0 = 2*m + r - 72. What is the remainder when m is divided by 8?
6
Suppose a + 0*a = 41. Calculate the remainder when a is divided by 14.
13
Suppose 3*l = 7*l + 4*q + 16, 0 = 5*l - 3*q + 4. Suppose -3*a - a = -3*c - 40, 2*a = 5*c + 34. What is the remainder when (l + 4)*(8 + 2) is divided by a?
6
Let i(d) = -2*d - 2. Let y = -11 - -19. Let b = y - 13. What is the remainder when 30 is divided by i(b)?
6
Suppose 7 - 3 = -2*d. Let g(l) = 4*l + 3. Let h be g(d). Let m(v) = -v**3 - 4*v**2 + 2*v - 1. Calculate the remainder when 40 is divided by m(h).
12
Suppose -5*v + 34 = -3*v. Calculate the remainder when v is divided by 9.
8
Let a = 61 - 48. What is the remainder when 127 is divided by a?
10
Suppose -88 = -3*t + 8. Suppose 4*g + 8 = 0, -4*m + 0*g - 2*g = -t. What is the remainder when 35 is divided by m?
8
Let n(i) = -i - 2. Let z be n(-3). Let x = -2 + z. Let u(g) = -3*g**3 + g**2 + 2*g + 1. Calculate the remainder when 4 is divided by u(x).
1
Let v(a) = a - 2. Let q be v(4). Suppose -4*u + 22 - q = 0. Suppose -89 = -u*i + 86. What is the remainder when i is divided by 9?
8
Let x = 10 - -1. Let z = 18 - x. Calculate the remainder when z is divided by 2.
1
Suppose 3*z + 60 = 6*z. Let j = z - 7. What is the remainder when 24 is divided by j?
11
What is the remainder when (-228)/(-3) + (-7 - -3) is divided by 19?
15
Calculate the remainder when 141 is divided by 29/(4/(-4) + 2).
25
Let q(x) = x**2 + 9*x + 9. Let v be q(-8). What is the remainder when 7 + 0 + 0/(-2) is divided by 0 + v - (0 + -3)?
3
Let k(r) = -r**3 - 5*r**2 + 4*r + 9. Let i = -22 + 16. Let c be k(i). Suppose -2*q = 3 - c. What is the remainder when q is divided by 5?
4
Let n(o) = o**3 + o**2 + 7. What is the remainder when 9/(((-1)/(-6))/((-2)/(-6))) is divided by n(0)?
4
Let f(g) = g**3 - 8*g**2 - 8*g + 12. Calculate the remainder when f(9) is divided by 10.
1
Let d(m) = 3*m**2 - 7 + 9*m + 2*m**2 - 2*m**2 - 4*m**2. What is the remainder when d(6) is divided by 4?
3
Calculate the remainder when 31 is divided by (-340)/(-30) - 1/3.
9
Suppose -4*y + 3*w = -6*y + 16, 0 = -5*y - 5*w + 35. Calculate the remainder when 13 is divided by y.
3
Let g = 63 - 39. Let x be (1/(-2))/((-1)/g). Suppose 2*u + 0*u = x. What is the remainder when 11 is divided by u?
5
Let m = -8 - -13. Let z(r) = -r**2 + 8*r - 3. Let l be z(m). Suppose -p + l = 2. What is the remainder when p is divided by 4?
2
Let x(u) = -u - 1. Let j(r) = 4*r - 3. Let c(n) = -j(n) + x(n). Let q(d) = 35*d**2. Calculate the remainder when q(1) is divided by c(-2).
11
Let j = -12 - -25. Let w(z) be the first derivative of 8*z**3 - z**2 - z - 2. What is the remainder when w(-1) is divided by j?
12
Let r = 11 + -2. Let b(c) = 2*c**2 - 7*c + 20. Let l(w) = -3*w**2 + 10*w - 30. Let p(q) = 8*b(q) + 5*l(q). What is the remainder when p(8) is divided by r?
8
Let j = -50 - -97. Suppose 5*m = 4*k - 7*k - 19, 0 = 3*k + m + 11. Let f = 15 + k. What is the remainder when j is divided by f?
11
Suppose -4*s + 3*q + 2 = -16, -5*s + 17 = -q. Suppose 2*w = s*w - 4. Suppose w*c - 102 = c. What is the remainder when c is divided by 12?
10
Let r = 15 + -11. What is the remainder when 15 is divided by r?
3
Suppose -u = -6*u - 3*o + 68, o + 20 = u. What is the remainder when 29 is divided by u?
13
Let c = -37 + 66. Calculate the remainder when c is divided by -12*4/(-6) + 0.
5
Suppose 0 = y - 1 + 4. Calculate the remainder when 30 is divided by (-2)/y + 124/12.
8
Let j = 6 - 4. Let o = j + 2. Suppose -2 = 2*k - 3*v - 84, 136 = o*k + v. Calculate the remainder when k is divided by 18.
17
Suppose r + c - 16 = 4, 