0
Suppose -6*b + 27 = -3*b. Let j = b + 1. Calculate the remainder when 42/5*20/6 is divided by j.
8
Let t(v) = -v**3 + 12*v**2 - 8*v - 7. What is the remainder when t(11) is divided by 9?
8
Let o(y) = y**2 + 3. Let z be o(-5). Suppose -7*t + 5*t = -z. What is the remainder when 25 is divided by t?
11
Suppose 4*v - 3*u = 0, 0*v - 5*u = -v. Suppose 5*g - 135 = -v*g. Suppose -h + 23 = -3*p, -3*p - 85 = -5*h + 2*p. Calculate the remainder when g is divided by h.
13
Let s(j) = -2*j**2 + 0*j**2 - 4*j + 11*j - 4. Let u be s(4). Let o(i) = -i**3 - 8*i**2 - 2*i - 9. What is the remainder when 12 is divided by o(u)?
5
Suppose 6*j = 60 - 0. Let a be -4*(2 - 10/4). Let d = a - -4. Calculate the remainder when j is divided by d.
4
What is the remainder when 22 is divided by 15/10*8/1?
10
Let h(n) = -5*n - 15. What is the remainder when h(-10) is divided by 12?
11
Suppose 2*u - 5 - 7 = 0. Let x be (4/(-2))/((-10)/(-15)). What is the remainder when (-62)/x + (-4)/u is divided by 7?
6
Suppose 5*v = -2*p - 0*p + 347, 3*v - 193 = -5*p. What is the remainder when v is divided by 18?
17
What is the remainder when 50 is divided by 18*((-8)/4)/(-2)?
14
Let y = 9 - 16. Let l = 7 - y. What is the remainder when 55 is divided by l?
13
Let u be -1 - (-4 + 1 - 2). Suppose -2*g + 3*c - 18 = -2*c, -u*c + 20 = 4*g. Let w = g - -6. What is the remainder when 20 is divided by w?
6
Suppose 6*s = 119 + 115. Calculate the remainder when 113 is divided by s.
35
Let f = -12 - -39. Suppose 0 = -5*a - 2*p + 259, 2*p - 7 + 105 = 2*a. Calculate the remainder when a is divided by f.
24
What is the remainder when 30 is divided by (-6 - -8)/(4/22)?
8
Let d(z) = -z + 3. Let s be (-2)/(-7) - 4/14. Let q be (-2 - s)*14/4. What is the remainder when 28 is divided by d(q)?
8
Let n(j) = -1 - 5*j**2 - 2*j**2 + 2*j**2 - j**3 + 4*j**2 - 2*j. Calculate the remainder when 66 is divided by n(-3).
20
Let y(d) = d**2 - 3. Let h be 0/(-2*(-2)/2). Suppose j + 22 = 3*u, j + h*j + 6 = u. Calculate the remainder when y(-5) is divided by u.
6
Suppose 0 = 4*j - 2*m - 48, -m + 0*m = -4*j + 48. What is the remainder when 22 is divided by j?
10
Suppose -150 = -5*y - 3*v, 3*v + 157 = 4*y - 2*v. What is the remainder when y is divided by 7?
5
Let o = 14 + -13. Calculate the remainder when 5 is divided by o.
0
Suppose -3*j = 2*g + 4, 0 = 3*j + 3*g + g + 14. Suppose -5*a + 34 = -26. Calculate the remainder when ((j - 36) + -1)/(-1) is divided by a.
11
Suppose 2*q + 2*v + 9 = 5*q, 5*v = -q - 14. Suppose -u = -2*b + 21, -q + 16 = 3*b + 4*u. Calculate the remainder when 15 is divided by b.
6
Suppose -7*b = -12*b + 215. Calculate the remainder when b is divided by 23.
20
Suppose 0 = -0*x - 2*x + 38. Calculate the remainder when x is divided by 10.
9
Suppose 5*p - p = 4*r + 32, -p = 3*r - 16. What is the remainder when 132/p + 2/(-10) is divided by ((-10)/4)/(8/(-16))?
3
Let b be 0/(-3) - (-8 - -1). Suppose 2*q - 31 = -2*q + 5*w, b = 4*q + 3*w. Suppose 3*u - 4*u + q = 0. Calculate the remainder when 7 is divided by u.
3
Let m(a) = 3*a + 4. Let u be (-1)/(-2) - (-7)/2. Let f = 38 + -29. Calculate the remainder when m(u) is divided by f.
7
Suppose -4*j + 18 = -3*p - 9, -3*p - 3*j - 6 = 0. Let a = 6 - p. Let r(x) = 6*x**2 + 57*x + 13. What is the remainder when r(-10) is divided by a?
10
Let t(i) = -i**2 - 9*i - 14. What is the remainder when 10 is divided by t(-4)?
4
Suppose 0 = 5*v - 0*v - 125. Let x(z) = -3*z**3 - 1. Let g be x(-1). Suppose -g*i = 5*o - 46, -2*i - o + 37 = 7. Calculate the remainder when v is divided by i.
12
Suppose -22 = -2*k + 5*q + 23, -2*q = -5*k + 60. Suppose 4*j - 12 = 2*i - 0*i, 15 = 5*j. Let b = 4 - i. Calculate the remainder when k is divided by b.
2
What is the remainder when ((3 - 3) + 0 - 3) + 27 is divided by 9?
6
Let o(b) = 8*b + 5. Let p be o(-12). Let t = p - -142. What is the remainder when t is divided by 14?
9
Suppose -2*t + 13 = -5*u - t, 9 = 3*u + 5*t. Let h(x) = -5*x - 2. Suppose -3*o - 4*a = -77, o + a - 4*a = 17. What is the remainder when o is divided by h(u)?
7
Let i(f) = 4*f**2 - 2*f + 1. Let c be i(-3). Let l = c - 25. Calculate the remainder when l is divided by (1 - 13/3)*-3.
8
Let o = -35 - -60. Let a = o + -9. What is the remainder when 47 is divided by a?
15
Suppose s - 10 = -2*d, 0*s - 12 = -4*s - d. Suppose -s*b - 12 = -6*b. Suppose -b*l + 32 + 121 = 0. What is the remainder when l is divided by 13?
12
Suppose -3*a = -51 - 0. What is the remainder when 67 is divided by a?
16
Let x(i) = -3*i + 24. What is the remainder when x(-8) is divided by 26?
22
Let k = -2 - -36. Calculate the remainder when k is divided by (-1 - -10) + (6 - 6).
7
Let s be (-2096)/(-40) - 3/(-5). Let t = s + -30. Calculate the remainder when t is divided by 8.
7
Suppose -p = -4*v, 0 = -2*p + p - v. Suppose p = -2*o + 15 + 17. Calculate the remainder when o is divided by 6.
4
Suppose -2*q + 6 + 20 = 0. Suppose 0 - q = -2*o - 5*j, -3*o = -3*j - 72. What is the remainder when o is divided by 11?
8
Calculate the remainder when (1 - 20/12)*-6 is divided by 2.
0
Let a = -138 - -419. Suppose -3*b + a = 95. Calculate the remainder when b is divided by 21.
20
Let u(l) = -l**2 + 7*l. Let b(o) = 2*o**2 - 2. Let t be b(2). Calculate the remainder when u(t) is divided by 26/6 + (-6)/18.
2
Let s be (-3)/4*(-1 + 9). Let b(a) be the third derivative of -a**6/120 - a**5/12 + a**4/6 - a**3/2 + 7*a**2. Calculate the remainder when b(s) is divided by 5.
4
Suppose -6*l + 94 = -4*l. Calculate the remainder when l is divided by 12.
11
Let i = -79 - -85. What is the remainder when 64 is divided by i?
4
Let w = 43 + -31. Let l(a) = -a**2 + 7. Suppose 4*i = 5*i. Calculate the remainder when w is divided by l(i).
5
Let x(m) = m + 6. What is the remainder when x(0) is divided by 2?
0
Let i(t) = 6*t + 1. Let v(x) = -6*x - 1. Let c(s) = -6*i(s) - 5*v(s). Let h(u) = -u + 12. What is the remainder when c(-6) is divided by h(0)?
11
Suppose 6*z + 63 = 9*z. Calculate the remainder when 81 is divided by z.
18
Let f(d) = 2*d**2 - 2*d - 2. Let y be f(2). Suppose 3*x = y*a + 8, -3*a + 2 = -13. Let c = -10 + 14. Calculate the remainder when x is divided by c.
2
Suppose 0*l + 2 = 3*l - 4*n, -2*n = -l. What is the remainder when 2 is divided by l?
0
Let f = -12 - -161. Calculate the remainder when f is divided by 50.
49
Let m = 74 - 36. Calculate the remainder when m is divided by 13.
12
Let n(l) = 5*l - 23. Calculate the remainder when 10 is divided by n(6).
3
Let j(i) = 6*i - 12. Calculate the remainder when 9 is divided by j(3).
3
Let q = -10 + 17. What is the remainder when 32 is divided by q?
4
Let x be 4/(-3 - (-14)/4). Suppose -5*m - 2*r = -7, 2*r + r = -5*m + x. Calculate the remainder when 2 is divided by m.
0
Suppose -i + 18 = 1. Calculate the remainder when i is divided by 5.
2
Let z = -101 - -124. What is the remainder when 45 is divided by z?
22
Suppose 4*f = -4*b + 12, 4*f + 3*b - 9 - 8 = 0. Suppose v = 4*v - 4*g - 6, 5*g - 6 = -3*v. Suppose v*k + 2 = 12. Calculate the remainder when f is divided by k.
3
Suppose -3*r + 24 = -132. Suppose -3*u = -u - 68. Suppose -2 = -2*g + u. Calculate the remainder when r is divided by g.
16
Suppose p = -2*p + t + 94, -4*p = -3*t - 132. What is the remainder when p is divided by 17?
13
Let o = 14 + -4. Let d = 15 + 4. What is the remainder when d is divided by o?
9
Suppose -o - 29 = -5*u, u - 2*o - 21 = 2*o. Suppose 0 = -d - 15 - 9. Let p = u - d. Calculate the remainder when p is divided by 15.
14
Suppose -4*h + 77 = -23. Calculate the remainder when 99 is divided by h.
24
Let h = 1 + 10. What is the remainder when h is divided by (-2)/7 - (-240)/56?
3
Let n = 123 + -62. Let u(s) = s**2 + 9*s + 11. Calculate the remainder when n is divided by u(-10).
19
Suppose 7*i - 4*i = 0. Let z(o) = o**3 + o**2 + 24. Suppose -3*j = 5*q + j - 69, -2*j - 63 = -5*q. What is the remainder when z(i) is divided by q?
11
Let l(a) = -17*a - 4. Let c(q) = -17*q - 3. Let v(z) = -6*c(z) + 5*l(z). Let m be v(2). Suppose m = -x + 5*x. Calculate the remainder when 15 is divided by x.
7
Let i be 1/((-2)/4) + 14. Let k = i + -7. What is the remainder when 18 is divided by k?
3
Suppose -3*t = 5*u - 15 - 4, t + u - 9 = 0. Calculate the remainder when 22 is divided by t.
9
Suppose -13 = -4*d + 39. Let u(q) = 10*q 