 + j + 16. What is the remainder when 21 + -3 - (-4 + v) is divided by 8?
5
Let t = 4 - -9. Suppose 2*y + 1 - t = 0. Calculate the remainder when 10 is divided by y.
4
Let x = -28 + 47. What is the remainder when x is divided by 11?
8
Suppose 4*j - 81 + 29 = 0. Suppose -6*n + 104 = -40. What is the remainder when n is divided by j?
11
Suppose 3*b + 2*f - 241 = 0, 50 = -5*b - f + 447. Suppose -8*h + 3*h + 100 = 0. What is the remainder when b is divided by h?
19
Let q be 2/8 + 51/4. Let y = q - -9. What is the remainder when 65 is divided by y?
21
Suppose 26 + 30 = 4*y. Suppose 7*x = 9*x - y. What is the remainder when 18 is divided by x?
4
Suppose 5*o - 22 = 13. Suppose 0*i = 4*f + 5*i + o, 6 = -2*i. Suppose -3*v - 68 = -f*h - 27, 86 = 4*h - 2*v. What is the remainder when 65 is divided by h?
21
Suppose -9 = -2*h + 5*h. Let k = 9 + h. Suppose 0 = 2*j - 12 - k. Calculate the remainder when j is divided by 5.
4
Let x = -45 + 84. What is the remainder when x is divided by 15?
9
Suppose -t + 4*x + 13 = -17, -2*t + 70 = -3*x. What is the remainder when t is divided by 10?
8
Let b(o) = -8*o + 1. Let j(k) = 7*k - 1. Let y(s) = -6*b(s) - 7*j(s). Let t be y(0). What is the remainder when 7 is divided by t*-1*(3 - 6)?
1
Suppose 2*i + 0*i - 6 = -5*j, 5*i = -5*j. Suppose -5*o - 7 = -5*q + j*q, -5*o = -q - 11. What is the remainder when q is divided by 5?
4
Let z(x) = 27*x**2 + 1. Calculate the remainder when z(2) is divided by 37.
35
Suppose 13 = -4*s + 7*s - x, 0 = 5*s - 3*x - 15. What is the remainder when 11 is divided by s?
5
Suppose -k - 4*k = -5*c - 10, c - 8 = -k. Suppose -w + 2 = 3*l, c*w = 6*w - 5*l - 6. Calculate the remainder when w is divided by 1.
0
Let l be 1/3 + 14/3. Suppose 5*f - 5 = -l*h, h = 3*f - 3*h - 10. Let s(o) = 10*o + 11. What is the remainder when f is divided by s(-1)?
0
Let g(x) = x + 21. Calculate the remainder when 137 is divided by g(7).
25
Let f(x) = -x + 1. Let c(a) = a**2 - 7*a - 6. Let i be c(6). What is the remainder when (-4)/i - 56/(-3) is divided by f(-9)?
9
Let g = -185 - -322. Let o = g + -93. Calculate the remainder when o is divided by 3 - 6 - 1*-18.
14
Suppose 571 = -4*t - 3*j, t + 2*t + 429 = -2*j. Let g = t - -265. Let y = -77 + g. Calculate the remainder when y is divided by 11.
10
Let y(n) = -n**2 + 16*n - 9. Suppose -3*u = -5*r + 7, 4*r - 12 - 20 = -2*u. Calculate the remainder when y(u) is divided by 18.
15
Suppose v - 5*k = 5*v - 44, 2*v - 3*k = 0. What is the remainder when 17 is divided by v?
5
Let d be (0 - (1 - 3))/(-1). Let y(j) = -j**3 + 8*j**2 - 2*j + 22. Let n be y(8). What is the remainder when 27 is divided by (21/(-9))/(d/n)?
6
What is the remainder when 74 is divided by 23 - 2 - (4 + -6)?
5
Let z = 56 - -44. What is the remainder when z is divided by 51?
49
Suppose c - 5 = 3*k + 3, -3*k - 13 = -2*c. Suppose -c*g = -3*g - 50. Calculate the remainder when g is divided by 7.
4
Suppose 0 = 2*k - 8*p + 3*p - 21, -3 = 3*p. Suppose -6*a + 152 = -a + 3*m, 2*m - k = 0. What is the remainder when a is divided by 10?
8
Suppose 0 = f + 1 - 22. What is the remainder when 39 is divided by f?
18
Suppose -d - 5*z + 68 = 2*d, -4*z = -16. Suppose n - b + 6*b = -8, n = 3*b + d. Calculate the remainder when 20 is divided by n.
6
Let b(z) = 13*z. Let f(x) = -x**2 + 7*x + 1. Calculate the remainder when b(1) is divided by f(6).
6
Suppose 72 = 2*a - 2*h, -a - a - h + 63 = 0. Suppose a + 12 = r. Suppose 0 = -3*w + r + 75. What is the remainder when w is divided by 14?
12
Let f(s) = -4*s - 3. Let z be (-1 - 0)/((-1)/205). Suppose -2*j = 3*j - z. Calculate the remainder when j is divided by f(-6).
20
Let w = 28 + -19. What is the remainder when (-2 + (-24)/(-10))/((-3)/(-195)) is divided by w?
8
Let t(x) be the first derivative of -x**2/2 - 2*x + 1. Let m be t(-3). Suppose m = -d + 18. What is the remainder when 50 is divided by d?
16
Let p(r) = r + 7. Calculate the remainder when 46 is divided by p(9).
14
Let t be -1*(-2 + (1 - -1)). Let p(i) = i + 13. Let j = 31 + -7. Calculate the remainder when j is divided by p(t).
11
Let v(t) = -t**2 + 10*t + 14. Calculate the remainder when 6 is divided by v(11).
0
Suppose -1065 + 321 = -12*h. Let j = 16 + 5. Calculate the remainder when h is divided by j.
20
Suppose -4*j = -3*v - 22, -3*j - 6*v = -2*v - 4. Suppose -k - k + 3*l = 11, j*k - 5*l = -21. What is the remainder when (5/k)/(3/(-132)) is divided by 19?
17
Let i = 11 - 8. Suppose 4*y - i*p = -12, -3*p + 0*p = 2*y - 12. What is the remainder when -1*(y/1 + -5) is divided by 2?
1
Let s = 93 - 62. Calculate the remainder when s is divided by 13.
5
Suppose 2*r = 4*r - 44. Suppose 0*u = -3*u + 36. Calculate the remainder when r is divided by u.
10
Calculate the remainder when 84 is divided by 26 - (3 + -5 + -1).
26
Let j = 111 + -59. Suppose 0 = 4*l - 2*l - j. What is the remainder when l is divided by 14?
12
Let k = 14 - 11. Suppose -k*t - 2*t + 225 = 0. What is the remainder when t is divided by 16?
13
Calculate the remainder when 26/4 + 6/(-4) is divided by 4.
1
Suppose 5*d - 3*s = -103, -3*d + 3*s - 18 - 39 = 0. Let b = -11 - d. Let v = 17 - b. Calculate the remainder when 13 is divided by v.
3
Let z = -79 - -87. What is the remainder when 29 is divided by z?
5
Let q(k) = -k**2 + 6*k. Let z be q(5). Let t = 1 - -6. Calculate the remainder when t is divided by (-162)/(-45) + 2/z.
3
Calculate the remainder when (9/(-1))/(39/(-18) - -2) is divided by 28.
26
Let y = 85 + -76. Calculate the remainder when 33 is divided by y.
6
Let r(q) be the first derivative of -2 + 1/3*q**3 + 6*q - 2*q**2. What is the remainder when r(6) is divided by 10?
8
Let s(z) = -3*z + 3. Suppose -3*j = 4*w + 6, -j - 4*w = -2*j - 18. Let b be s(j). Suppose b + 11 = 2*x. What is the remainder when 46 is divided by x?
14
Suppose -3*n - x = -22, 5*n + 0*x + 3*x = 38. Suppose -220 = 3*r - 14*r. Calculate the remainder when r is divided by n.
6
Let i = 4 + 3. Calculate the remainder when i is divided by 4.
3
Let i = 114 + -78. What is the remainder when i is divided by 19?
17
Suppose 0 = -v - 12 + 42. What is the remainder when 57 is divided by v?
27
Suppose -5*f + 22 = 2, 2*f - 14 = -t. Suppose 4*o = 5*o - t. Calculate the remainder when 10 is divided by o.
4
Calculate the remainder when (-518)/(-18) + 10/45 is divided by 15.
14
Suppose 9*v + 134 = 11*v. Calculate the remainder when v is divided by 23.
21
Let x(s) = s**3 - 3*s - 10. Calculate the remainder when x(5) is divided by 34.
32
Suppose 6*u + 3*u - 279 = 0. What is the remainder when (-3 - -3 - -11)*11 is divided by u?
28
Suppose -2*q - 7*r = -2*r - 119, -92 = -2*q + 4*r. What is the remainder when q is divided by 11?
8
Let m(c) = -c**2 + 2*c + 1. Let o be ((-12)/6)/((-4)/6). Let x be m(o). What is the remainder when ((-1)/x)/(2/164) is divided by 14?
13
Let v = 49 + -1. What is the remainder when v is divided by 17?
14
Suppose -3*c + 30 = -4*k - 1, 0 = -3*c + 5*k + 32. Calculate the remainder when 35 is divided by c.
8
Let h(d) = d**2 + 1. Let o = -1 + 1. Let q = 0 + 1. Calculate the remainder when h(o) is divided by q.
0
Suppose 4*g - 40 = 2*g. Let o = g - 11. Calculate the remainder when 24 is divided by o.
6
Suppose 0*y = 3*y - 12. Let z be (-56)/(-2)*1/y. Suppose r - 3*r = -2*v + 18, v - z = 2*r. What is the remainder when 19 is divided by v?
8
Let h = -13 + 7. Let s be (20/h)/(2/(-39)). Suppose -3*k - 2*k = -s. Calculate the remainder when 37 is divided by k.
11
Suppose 11 + 44 = 5*o. What is the remainder when 42 - 1*(2 - 1) is divided by o?
8
Suppose -k + p = -62, -p - 4 = p. Suppose 2*v - 6*v = -k. Calculate the remainder when 43 is divided by v.
13
Let b = 0 - -8. Suppose -p = -17 - 11. What is the remainder when p is divided by b?
4
Let i(h) = -6*h**2 + 1 - 3*h - 3*h + 5*h - 2*h**3. Calculate the remainder when i(-4) is divided by 20.
17
Suppose -15*v + 255 = -15. What is the remainder when 50 is divided by v?
14
Calculate the remainder when 18 is divided by (-8)/(-10) - 310/(-50).
4
Let k be (40/(-12))/((-2)/3). Let l(p) = 3*p + 2. Calculate the remainder when 32 is divided by l(k).
15
Suppose -2*l + l = -4*u + 8, -3*l + 4 = 2*u. Suppose u*y = 3*x - 118, 80 = 3*x - y - 33. Calculate the remainder when x is divided by 13.
10
Suppose -m + 19 = -21. Suppose v = -2*o + 30, -3*o = -5*v