 81 - b. What is the remainder when a is divided by p?
14
Let p(t) = 2*t**3 + t**2 - t. Let q be p(1). Suppose 1 = -3*i - q. What is the remainder when 54 is divided by i/(-2*3/84)?
12
Let w = 13 + -3. Let b(a) = a**2 + a. Let u(y) = -y**2 + 12*y + 15. Let j be u(13). Calculate the remainder when w is divided by b(j).
4
Let d(n) = n**2 - 2*n - 6. Calculate the remainder when 1/((-72)/(-70) + -2 + 1) is divided by d(6).
17
Let l(p) = 2*p + 3. Let s = -18 + 29. Let t = s + -7. What is the remainder when 32 is divided by l(t)?
10
Let r(u) = -u**2 + 5*u - 1. Suppose -p - 3*f + 8*f + 11 = 0, 0 = p + 3*f - 3. Calculate the remainder when p is divided by r(3).
1
Let d(i) = i. Let x(n) = -3*n + 1. Let j(y) = 11*d(y) + 4*x(y). What is the remainder when 27 - (0 + (1 - 0)) is divided by j(-5)?
8
Let w = 4 - 1. Suppose 0 = 5*z - 0*z - 5, w*p - 2*z = 109. What is the remainder when p is divided by 10?
7
Suppose -4 = -8*w + 4*w. What is the remainder when 65 is divided by (3 - w)*(-44)/(-4)?
21
Let q be (5/(-5))/(1/(-2)). What is the remainder when (32 - 1) + q*-1 is divided by 15?
14
Let x = -1 - -9. Suppose -x - 12 = -2*t. Calculate the remainder when (-1)/(-2) - 171/(-6) is divided by t.
9
Let h(p) = p**2 + p**2 - 2 - 2*p**2 - 3*p + 2*p**2. What is the remainder when h(-2) is divided by 5?
2
Suppose -d + 5*i + 66 = 0, 5*d = -3*i - 2*i + 210. Suppose -4*v = -2*v - d. Calculate the remainder when v is divided by 8.
7
Suppose 5*u = -4*q + 8, 4*u - 32 = -u + 4*q. Calculate the remainder when 8 is divided by ((-6)/u)/((-3)/6).
2
Suppose -2*u + 28 = 2*u. Suppose -3*q + 9 = 3*x, -5*q + 5 = -8*x + 3*x. What is the remainder when q*-1 - (4 + -25) is divided by u?
5
Suppose o + 0*o = 30. Let h = o - 16. Calculate the remainder when 39 is divided by h.
11
Let l(v) be the second derivative of v**4/12 + v**3/3 - v**2/2 - 9*v. What is the remainder when 6 is divided by l(-3)?
0
Let h(v) = -v**2 - 7*v - 9. Suppose 3*u = u - 16. Let q be h(u). Let g = -1 - q. Calculate the remainder when g is divided by 6.
4
Calculate the remainder when 61 is divided by ((-4)/(-10))/((5/100)/1).
5
Let d be -9*(2/1)/(-2). Let a = d - -13. Suppose -2*p = -0*p - 24. What is the remainder when a is divided by p?
10
Let g(s) = s**3 - 12*s**2 - 3*s - 13. Let l be g(12). Let c = -19 - l. Calculate the remainder when c is divided by 8.
6
Let s = 29 - 4. Calculate the remainder when s is divided by 9.
7
Let u(m) = 2*m**3 - 4*m**2 + 5*m - 4. Calculate the remainder when u(4) is divided by 9.
8
Let x(m) = m**2 - 3*m - 7. Calculate the remainder when -3 - -1 - (-47 + 2) is divided by x(6).
10
Let n = -10 + 19. Calculate the remainder when 35 is divided by n.
8
Let b(m) = 6*m - 5. Let g be b(6). Suppose 5*x = -5*i + 2*i + g, -8 = -4*x. Let h = -8 + 12. Calculate the remainder when i is divided by h.
3
Let h(j) = -j**3 + 7*j**2 + 10*j + 1. Let g be (-12)/2*8/(-6). Calculate the remainder when 32 is divided by h(g).
15
Let a = -22 - -32. Let b = 36 + -8. What is the remainder when b is divided by a?
8
Suppose -4 = c, -h + 3*h = 5*c + 46. Suppose 3*j - j - 96 = -4*p, 3*p = -3*j + 72. Calculate the remainder when p is divided by h.
11
Suppose r = 4*r - 4*c + 21, -r - 5*c + 12 = 0. Let k(z) = 4 - 14*z - 3 + 5 - 2. What is the remainder when k(r) is divided by 16?
14
Suppose -k - 48 = -4*k. Let y = k - 7. Calculate the remainder when (-696)/(-27) + 4/18 is divided by y.
8
Suppose -k = 4*v + 11, k + 4 - 5 = -v. What is the remainder when 19 is divided by k?
4
Suppose -2*o + 3*o + 2 = 0. Suppose -6*t + 177 = -t + 4*n, 4*n + 119 = 3*t. Calculate the remainder when t is divided by (3 + o)/((-1)/(-13)).
11
Suppose 2*g + 3*m - 4 = 0, g + 3*m = -0*g + 2. Suppose -g*h = 5*f + 2*h + 2, 0 = 5*f - 4*h + 18. What is the remainder when (16/f)/((-2)/4) is divided by 9?
7
Suppose -u = -5*c + 18, c + 2 = -3*u - 4. What is the remainder when ((-8)/24)/(2/(-30)) is divided by c?
2
Let d(t) = 15 + 2*t - 12 + t. What is the remainder when 43 is divided by d(4)?
13
Let g = 10 + -9. What is the remainder when 22 is divided by g/3*(3 - -21)?
6
Let n(t) = -t**2 + 8*t. Let o be n(8). Let x = o + 3. What is the remainder when x is divided by 3?
0
Suppose 0 = 2*y + 2*c - 212, -4*y + 5*c + 324 = -64. Calculate the remainder when y is divided by 26.
24
Let z(r) = -r**2 - 11*r + 5. Let b be z(-11). Suppose 0 = -3*u - 2*q + 42, 7*q = -b*u + 4*q + 69. What is the remainder when 35 is divided by u?
11
Suppose -2*y + 7*y = -5. Let j be (5 - (1 - -1)) + -1. What is the remainder when y + j - (-17 + -5) is divided by 12?
11
Let t(g) = -17*g - 26. Calculate the remainder when t(-17) is divided by 24.
23
Let z(p) = 10*p + 5. Suppose 3*y = 2*y + 4. Calculate the remainder when z(y) is divided by 12.
9
Suppose 3*i - 15 = -0*i. Suppose i*l = -0 + 5. Suppose 0 = -3*v + 16 - l. Calculate the remainder when 14 is divided by v.
4
Let z = -6 + 5. Let p = 6 + z. What is the remainder when 9 is divided by p?
4
Calculate the remainder when 15 is divided by 3 - 3/2*-4.
6
Let q = 6 + -3. Let s = q - -2. Suppose -5*h - l + 53 = 0, h - s*h + 46 = -l. Calculate the remainder when h is divided by 4.
3
Suppose -i + 0*i = 0. Let f(u) = i*u + 2 - 2*u - 1 - 3. Calculate the remainder when 28 is divided by f(-6).
8
Suppose -4*o + 20 = 8. Let w = -6 + 8. Suppose 0 = w*v - o*v + 10. Calculate the remainder when 19 is divided by v.
9
Suppose 11*x = 14*x - 189. What is the remainder when x is divided by 16?
15
Let i be (414/21)/((-3)/21). What is the remainder when (-5)/(-10) - i/4 is divided by 9?
8
Let m(l) = -l**2 + 23*l - 9. Calculate the remainder when m(14) is divided by 17.
15
Let p = -16 + 6. Suppose 3*j + 3*t = -180, 0 = -0*j + 2*j - t + 120. Calculate the remainder when j*1/p*4 is divided by 13.
11
Let y(w) = -2*w**3 - 2*w**2 - w + 1. Let m be y(5). What is the remainder when (-6)/(-21) + m/(-14) is divided by 12?
10
Let c(i) be the first derivative of 3*i + 2/3*i**3 - 2*i**2 - 3. Calculate the remainder when 5 is divided by c(2).
2
Calculate the remainder when (-5)/10*-3*106/3 is divided by 27.
26
Suppose 2*m + o - 21 = 0, 20 - 62 = -3*m - 5*o. Suppose m*u = 6*u + 84. Calculate the remainder when u is divided by 15.
13
Let n(y) = -y**3 + 4*y**2 + 5*y + 2. Let t be n(4). What is the remainder when ((-11)/t)/((-2)/132) is divided by 9?
6
Suppose -7*m + 80 = -88. Calculate the remainder when 46 is divided by m.
22
Let x = 71 + -68. Calculate the remainder when x is divided by (12/(-2))/(8/(-4)).
0
Let n(t) = -t**2 - 9*t - 10. Let z be n(-7). Suppose -4*a = -3*b + 45, 25 = 2*b + z*a - 5. What is the remainder when b is divided by 8?
7
Suppose -5*t = -0*v - 4*v - 66, t = -3*v - 2. What is the remainder when 37 is divided by t?
7
Let f = -2 - -2. Suppose 0 = d - o - 24, f*d = 5*d + 5*o - 80. Calculate the remainder when 1 + -2 - d/(-2) is divided by 5.
4
Let m = 29 - 28. Calculate the remainder when (6/4*-2)/(-1) is divided by m.
0
Let y(u) = -u**3 + 10*u**2 - 9*u + 5. Let h be (4/(-14))/(1/(-7)). Suppose 3*l = -5*d + 37, l - 1 = 2*d + h*d. What is the remainder when y(l) is divided by 3?
2
Let h(l) be the first derivative of l**3 - 2*l**2 - 4. Calculate the remainder when h(-4) is divided by 22.
20
Let b = 7 + 3. What is the remainder when 26 is divided by b?
6
Let z be (-2)/(-5) + 1036/10. Suppose 5*d + 2*g = z, -3*d - 2*g + 5*g = -54. What is the remainder when d is divided by 11?
9
Let g be 1/(2 + 3/(-2)). Suppose -g = 2*y - 2*q - 60, y - 41 = -5*q. Let z = -63 - -71. Calculate the remainder when y is divided by z.
7
Suppose 4*o - 36 = 56. What is the remainder when 229 is divided by o?
22
Let f = -144 + 216. Calculate the remainder when f is divided by 25.
22
Suppose 4*r - 14 = 14. Calculate the remainder when r is divided by 3.
1
Let c = 8 + -2. Let y(b) = b**2 - 4*b - 4. What is the remainder when (5 + (-84)/18)/((-3)/(-126)) is divided by y(c)?
6
Suppose -12 = -3*x + q - 3*q, -5*x - 2*q = -24. Calculate the remainder when 11 is divided by x.
5
Suppose -4*x - 4*f + 1008 = 0, 5*f = -2*x - 0*f + 504. Suppose x = -0*m + 4*m. What is the remainder when m is divided by 16?
15
Let f(l) = -7*l - l - 3*l. Let b be f(-1). Suppose m = -0*m + b. What is the remainder when 21 is divided by m?
10
What is the remainder when 118 is divided by (-17 - 1)*4/(-3)?
22
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