Let w = 176 + s. Calculate the remainder when w is divided by 34.
33
Suppose -6*g = -97 - 71. Suppose h - 1 = -2*s + 12, 3*h - 5*s = g. What is the remainder when 29 is divided by h?
7
Suppose -18*k + 5*k = -676. What is the remainder when k is divided by 5?
2
Let q(b) = b**3 - 4*b**2 + 10*b + 6. Calculate the remainder when 268 is divided by q(3).
25
Let z = 1676 + -1614. Calculate the remainder when 988 is divided by z.
58
Suppose 30*b - 106 + 16 = 0. What is the remainder when (30/3 - 0) + -1 is divided by b?
0
Let v(n) = n**3 + 7*n**2 - n - 1. Let y = 24 + -30. Calculate the remainder when v(y) is divided by 15.
11
Suppose -4*n - 5*p + 50 + 51 = 0, -5*n = 3*p - 123. Calculate the remainder when 147 is divided by n.
3
Let b(r) = -r**3 - 7*r**2 + 2*r + 21. What is the remainder when 81 is divided by b(-7)?
4
Suppose -2*c = 3*c - 60. Suppose 10*h + 15 = 13*h. What is the remainder when c is divided by h?
2
Let t = -96 + 104. Calculate the remainder when 21 is divided by t.
5
Suppose 0 = -3*s - 2*j - 149, 3*j - 83 - 91 = 3*s. Let l = -20 - s. What is the remainder when 129 is divided by l?
30
Let t = -263 + 386. What is the remainder when t is divided by 22?
13
Let q = 4 - -3. Suppose 2 = 4*w - 3*o, o = -2*w + 3*o + 2. Calculate the remainder when q is divided by (-3)/w - 0/2.
1
Suppose 0 = 4*z - o - 460, 3*z + 2*o = -44 + 378. Calculate the remainder when z is divided by 10.
4
Suppose a - 4*a = -3*p - 66, -2*a = -p - 48. Let u = 58 - a. What is the remainder when u is divided by 13 - ((-2)/(-8))/((-1)/(-4))?
8
Calculate the remainder when 4005/20 + 3/(-12) is divided by 79.
42
Let w(u) = -u + 7. Let m(o) = -197*o - 4917. Calculate the remainder when w(-5) is divided by m(-25).
4
Let p(o) = 18*o**2 - 109*o + 8. Calculate the remainder when 34 is divided by p(6).
0
Suppose 0 = -93*f + 97*f - 128. What is the remainder when 1214 is divided by f?
30
Let s(l) = -l**2 - 5*l - 4. Let x be s(-4). Suppose x = 5*w + 3 - 53. Suppose -3*r = -5*d + r + 111, 3*d - 61 = r. What is the remainder when d is divided by w?
9
Let m = 59 - 58. What is the remainder when 118 is divided by 26/m - (-2 + 4)?
22
Suppose -93*n + 12459 = -8373. What is the remainder when n is divided by 45?
44
Suppose 0 = 641*t - 637*t - 880. What is the remainder when t is divided by 15?
10
Let k = -30 + 32. Suppose k*i = i + 4*w + 16, 3*i + 5*w = -3. Suppose -8 = 4*p - i*g - g, 3*p - 25 = -4*g. What is the remainder when p is divided by 3?
0
Suppose -7*r = -799 - 174. What is the remainder when r is divided by 432/42 - 2/7?
9
Let w(p) = 3*p**2 + 3*p - 1. Let d(f) = -f**3 + 8*f**2 + 8*f + 11. Let x be d(9). What is the remainder when w(x) is divided by (10 - 5)*(-3)/(-3)?
2
Calculate the remainder when (-1)/(-2) + (-29681)/(-134) is divided by 58.
48
Let k = 34 - -66. Calculate the remainder when k is divided by 7.
2
Let r(b) = b**3 - 11*b**2 + 9*b + 8. Let t be r(10). What is the remainder when 73 + -10 - 8/t - 1 is divided by 17?
15
Let h(a) = a**2 - 9*a + 20. Let x = -77 - -87. What is the remainder when 87 is divided by h(x)?
27
Let n = 18 + -16. Suppose -4 = -4*v - n*b, 0 = 3*v + 5*b - 2*b - 9. Calculate the remainder when 11 is divided by v/5 + (-234)/(-45).
1
Suppose 0 = 5*l - 15, 0 = -2*s - 2*l - 3*l + 1193. Calculate the remainder when s is divided by 99.
94
Suppose 5*w + 0*w = 15. Suppose -2*m - 2 = -w*m. Suppose 3*n - 25 = l, -m*n = n + 3*l - 21. What is the remainder when 22 is divided by n?
6
Let j = 119 - 10. What is the remainder when j is divided by 28?
25
Suppose -q = 4*z - 14, 0*z + 2*z = 3*q. Let m = 21 + q. Let x = 4 + 8. Calculate the remainder when m is divided by x.
11
Suppose -o - o + 138 = 0. Suppose -4*s = -4*w - s + 221, w = -2*s + o. Let c = w + -10. What is the remainder when c is divided by 13?
10
Let s(v) = 7*v. Let p be (-2)/(-13) - (-4199)/169. Suppose -x - p = 4*x, -k + 10 = 3*x. Calculate the remainder when k is divided by s(1).
4
Let r(u) = 33*u**2 - 4*u - 34*u**2 + 1 + 1. Let f be r(-4). Suppose -f*l + 20 = -4. Calculate the remainder when 22 is divided by l.
10
Suppose 5*k + 0*k = 135. What is the remainder when 105 - (5 - (2 + 7 + -5)) is divided by k?
23
Let k(z) = -32*z + 37. What is the remainder when k(0) is divided by 19?
18
Let p be 1*13*(-3)/3. Let g = -10 - p. Suppose -3*q + 3*d - 2 = 5*d, d - 2 = -g*q. What is the remainder when 4 is divided by q?
0
Suppose -4*w = 3*y - 19, 44 = 2*y + y - w. Let p = -57 - -81. Calculate the remainder when (-2)/(-8) - (-546)/p is divided by y.
10
Suppose 53 = n - 0*d - 5*d, 0 = 2*n + 2*d - 70. Calculate the remainder when (402/9 + -3)/(185/666) is divided by n.
36
Let n(w) = w**3 - 54*w**2 + 118*w + 202. What is the remainder when n(52) is divided by 11?
6
Let f = -8 + 25. Let c be (-24)/(-108) - (-56)/(-9). Let l = f + c. Calculate the remainder when l is divided by 3.
2
Suppose -3*p + 231 = -0*p. Suppose -4*b - b + 124 = 3*x, 0 = 5*b + x - 128. Calculate the remainder when p is divided by b.
25
Suppose 18 = 2*v - 2*o - 30, 2*v + 2*o = 36. Suppose 0 = -7*w + 5*w + 14. What is the remainder when 29 is divided by 108/w - (-12)/v?
13
Let i be (-9)/(-12) - 1 - (-1420)/(-16). Let o be 1 - 2 - (-1 + 60). Let r = o - i. Calculate the remainder when r is divided by 15.
14
Suppose -211*w - 4*m + 7 = -210*w, -3*w - 3*m + 48 = 0. Calculate the remainder when 572 is divided by w.
2
Let d(i) = -i**3 - i - 2. Suppose -5*r + 2*b + 87 = 0, 5*b = b + 16. Calculate the remainder when r is divided by d(-2).
3
Let c be (2 + -1 + -1)/1. Suppose 10*b - 22 = 8. Suppose -2*n - b*u + 75 = c, -4*n - n = -2*u - 235. Calculate the remainder when n is divided by 24.
21
Let c = -13 + 13. Suppose c = -j + 3, -2*o + 2*j = -3*j - 3. Calculate the remainder when 34 is divided by o.
7
Let i = 61 + 101. What is the remainder when i is divided by 42?
36
Let r(g) = -13*g**2 - 12*g + 12. Let v(d) = 6*d**2 + 6*d - 6. Let q(n) = 4*r(n) + 9*v(n). Calculate the remainder when 4*2569/252 - 4/(-18) is divided by q(-5).
13
Suppose 0 = -109*g + 127*g - 756. What is the remainder when 206 is divided by g?
38
Suppose 8 = 4*l, -3*v - v = l - 10. What is the remainder when (-2)/v*(-32 + -5) is divided by 13/(-3)*(-21)/7?
11
Suppose -5*x = -21 - 9. Let f(j) = 2*j**2 + 5*j - 1. What is the remainder when f(2) is divided by x?
5
Suppose -i + 6 = 2*i. Let r = 2 - i. Suppose -v = d - 36, -3*d - 5*v = -r*d - 104. Calculate the remainder when d is divided by 13.
12
Let d be (-3)/(-15) + 98/10. Suppose 0 = -w - 0 + d. Suppose 42 = 2*p - 0*v + 4*v, -w = 5*v. Calculate the remainder when p is divided by 9.
7
Let m(c) = -c**3 - 3*c**2 + 7*c - 7. Suppose -37 = -3*t + 2*t. What is the remainder when t is divided by m(-5)?
5
What is the remainder when (-3)/(-2)*((-402)/(-9) - 6) is divided by 26?
6
Suppose 2*h + 3*h + 2*a - 65 = 0, -13 = -h + a. Let p = h + 8. What is the remainder when 38 is divided by p?
17
Let w(n) = -n**3 + 9*n**2 - 4*n - 7. Suppose 392 = 4*u + 2*c, -183 = -4*u + 4*c + 221. What is the remainder when u is divided by w(8)?
24
Suppose -3 = -2*a + 71. Calculate the remainder when 83 is divided by a.
9
Let n be (-14 - (-2)/(-1))*2. Let h = 44 + n. Calculate the remainder when 44 is divided by h.
8
Suppose 2*p = 175 + 1. Let r = 102 - p. Calculate the remainder when r is divided by 9.
5
Let h(n) = n**2 + 18*n - 73. Calculate the remainder when 130 is divided by h(-22).
10
Suppose 2*w - 4*p = -p + 10, -6 = -3*p. Let j = w - 2. Suppose 3*n - 49 = d, 22 = 2*n - 4*d + j*d. Calculate the remainder when 57 is divided by n.
12
Suppose -4*b + c + 136 = 5*c, 0 = -4*b - 3*c + 138. Let x = 68 - b. Calculate the remainder when x is divided by 0 + 12 - (-1)/(-1).
10
Let o(c) = -22 - c**2 - 74*c - 4 + 59*c. What is the remainder when 59 is divided by o(-12)?
9
Let d = 3 - 2. Let k(w) = -w**2 - 4*w + 10. Let z be k(-5). Suppose 4*m + 2 = -0*m + 3*y, 3 = z*m - y. What is the remainder when m is divided by d?
0
Let u(c) = -27*c**3 + 6*c + 5. Calculate the remainder when 45 is divided by u(-1).
19
Let j(y) = -31*y**3 + 3*y**2 + 2*y - 1. Let a = -83 - -147. Suppose 5*r = -4*p + a, -2*r - 2*r = 3*p - 49. Calculate the remainder when j(-1) is divided by p.
9
Let k = 393 - 258. Suppose k + 111 = 3*m. Suppose 2*v + 106 = 148. What is the remainder when m is divided by v?
