nder when u is divided by 16.
13
Let p(u) = 8*u + 20. What is the remainder when 173 is divided by p(2)?
29
Let s = -94 + 107. Let a = -9 + 15. Let u(r) = r**3 - 6*r**2 + 5*r + 6. Calculate the remainder when u(a) is divided by s.
10
Suppose 4*u = -2*m + 116, -2*u - m + 50 = -2*m. Suppose 29*s - 1674 = -58*s - 6*s. What is the remainder when u is divided by s?
9
Suppose i = -2*k + 116, 0 = -4*i + 4*k + 301 + 187. Calculate the remainder when i is divided by 11.
10
What is the remainder when (-19)/(-152) - (-7358)/16 is divided by 77?
75
Suppose -30*n + 27*n = -72. Let a = -13 + n. What is the remainder when a is divided by 4?
3
Suppose 5*w = -210 + 1060. Suppose -u + 5*x - 2*x = -58, -3*x - 187 = -4*u. Calculate the remainder when w is divided by u.
41
Suppose -79 + 9 = -10*d. Let o be 1/(17/6 + -3). What is the remainder when (-360)/(-14) - o/21 is divided by d?
5
Let y = 20 - 11. What is the remainder when ((-2)/(-4))/((-11)/(-418)) is divided by y?
1
Suppose 5*t = 6 + 4. Suppose -3*r + 0*r = -5*k - 63, 5*r + 5*k - 145 = 0. Suppose 0 = -4*v + r - 6. What is the remainder when v is divided by t?
1
Suppose 5*j + 18 + 97 = 5*n, -4*n = j - 72. Let x = -4 - -6. Suppose q - 2*z - 19 = -x*q, -4*q + 2*z + 26 = 0. Calculate the remainder when n is divided by q.
5
Suppose 10*l - 328 = 8*l. Let x = -111 + l. Let r(c) = -9*c - 9. What is the remainder when x is divided by r(-4)?
26
Let c be 6/(-27) + (-371)/(-9). Let z = c + -18. Let k = -18 + z. Calculate the remainder when 14 is divided by k.
4
Suppose 0 = -31*m + 1455 + 2854. Calculate the remainder when m is divided by 7.
6
Suppose 2*q = 19*q - 289. Let y = 7 - 3. What is the remainder when q is divided by y?
1
Let v = 20 - 8. Suppose 14*j = v*j + 50. What is the remainder when 73 is divided by j?
23
Let i = 114 + -11. What is the remainder when i is divided by 35?
33
Let d = -3 - -56. Let p be 0*3/(-9) - (-1 - 45). Let s = -18 + p. Calculate the remainder when d is divided by s.
25
Suppose -2*h + 194 = -2*o, 0 = 5*h + 3*o - 73 - 420. What is the remainder when h is divided by 25?
23
Suppose -4*u + 720 - 2520 = -5*r, 0 = 2*r + 3*u - 697. What is the remainder when r is divided by 89?
0
Suppose -w = -8 - 91. Let q = w + -56. What is the remainder when q is divided by 12?
7
Suppose -4*o - 1111 - 1561 = 0. Calculate the remainder when (-1)/(-2)*3*o/(-6) is divided by 34.
31
Suppose 0 = 4*h - 5*x + 13 - 204, 2*h - 5*x = 83. What is the remainder when 175 is divided by h?
13
Let u = -20 - -34. Suppose 0 = -4*b - 4, -11*b = -s - 16*b + 133. Calculate the remainder when s is divided by u.
12
Let y(v) = -23*v - 118. Calculate the remainder when y(-24) is divided by 19.
16
Let o(c) = -30*c - 182. What is the remainder when 86 is divided by o(-7)?
2
Let l(x) = -4*x - 13. Let u(p) = -p**3 + 9*p**2 - 6*p - 25. Let f be u(8). What is the remainder when 252 is divided by l(f)?
22
Suppose 8 = 4*d - 44. Let s be 1/(-1 - 16/(-20)). Let v = 29 + s. Calculate the remainder when v is divided by d.
11
Let b(p) = p**3 + 2*p**2 - 3*p + 60. What is the remainder when b(0) is divided by (-83)/(-5) + -1 + (-8)/(-20)?
12
Let h(d) = 4*d - 6. What is the remainder when (-1 - 244/(-28))/((-42)/(-196)) is divided by h(5)?
8
Suppose 26*b + 912 = 74*b. What is the remainder when 118 is divided by b?
4
Let v(u) = -23*u + 2. Let q be v(1). Let t = q - -32. What is the remainder when 32 is divided by t?
10
Let j = -171 + 85. Let q = -44 - j. Suppose 2*t = -10, 4*a - 27 = -3*t + q. What is the remainder when 41 is divided by a?
20
Let o be (0 + -29*1)*17/17. Let q = o + 42. What is the remainder when q is divided by 5?
3
Suppose 3*s = -4*w - 4 + 17, 0 = -5*s - 4*w + 11. Let t(y) = -26*y**3 + 2*y**2 + 2*y + 1. What is the remainder when t(s) is divided by 10?
7
Suppose 0 = -10*r + 6*r - 3*i + 117, -2*r = -3*i - 81. What is the remainder when 260 is divided by r?
29
Let d = -1 - -25. What is the remainder when (-16)/(-10)*(-6)/d*-65 is divided by 15?
11
Suppose s = -0*s + 3*d + 3, -s - d = -15. Suppose 3*t + t = -324. Let a = t - -115. Calculate the remainder when a is divided by s.
10
Let t = 389 - 297. What is the remainder when t is divided by 30?
2
Suppose -u = -0*u - 5*o + 6, 0 = -3*u - 4*o + 20. Let d be 5/(-4 + (-101)/(-24)). Suppose u*q + d = 5*q. Calculate the remainder when 46 is divided by q.
22
Let w = -11 + 11. Suppose 0 = -f + 4, -3*f = 2*c - w*f - 52. What is the remainder when 23 is divided by (2 + c/(-2))/(-1)?
7
Let v be 0 - (15/(-5))/(-1). Suppose 0 = i + 3*i - k - 43, -5*k = 3*i - 15. Calculate the remainder when 20 - ((-3)/3 - v) is divided by i.
8
Let y be 64/12 + (-4)/(-6). Suppose 2*o = -14 - y. Calculate the remainder when (-126)/(-5) + 2/o is divided by 14.
11
Let t = 15 - 24. Let q = -2187 - -2216. What is the remainder when q is divided by 29/3 + (-3)/t?
9
Let f = 23 + -14. Suppose -v = 2 - 4. Let w(c) = 10*c - 4. What is the remainder when w(v) is divided by f?
7
Let q(v) = -2*v**3 - v**2 + v. Let o(i) = i**3 + 9*i**2 + 7*i - 10. Let z be o(-8). What is the remainder when 37 is divided by q(z)?
7
Suppose -3*g + 0*g + 3*w = -30, 2*g = -3*w + 10. Suppose -6*l = -387 + 357. What is the remainder when g is divided by l?
3
Suppose -p + 3*i + 9 + 30 = 0, 4*i = -8. Calculate the remainder when 65 is divided by p.
32
Let p be 107/5 - 2/5. Let k be 6/4 + (-15)/(-10). Suppose -t + 5*f - 2 = -p, 2*t + k*f = 38. Calculate the remainder when t is divided by 5.
4
Let p = 663 + -583. Calculate the remainder when p is divided by 12.
8
Suppose -200 + 135 = -13*u. What is the remainder when 138 is divided by u?
3
Let q(x) = 38*x - 279. What is the remainder when 110 is divided by q(8)?
10
Let h = 6 - -8. Let n(p) = 5*p**2 + p + 3. Let y be n(2). Suppose 0 = 8*f - 7*f - y. What is the remainder when f is divided by h?
11
Suppose 4*u - 99 - 4 = -w, -w - 1 = 0. Calculate the remainder when 44 is divided by ((-3)/6*-6)/(-1) + u.
21
Suppose 6*w - 5*c - 217 = 2*w, 5*w - 4*c = 278. What is the remainder when w is divided by 16?
10
Suppose 0 = 9*k - 259 - 137. Calculate the remainder when k is divided by 10.
4
Let r(t) = t**3 - 3*t + 7. Let w = -17 - -20. Calculate the remainder when 122 is divided by r(w).
22
Suppose 2*g - 3*g - 2 = 0, 4*w + 2 = -5*g. Let q be (-6)/(-4)*(w - 0). Suppose q - 209 = -2*s. What is the remainder when s is divided by 26?
25
Suppose 3*p - 5*v - 82 = 0, -4*v = 2*p - 53 + 13. Calculate the remainder when 383 is divided by p.
23
Let z(r) = 13*r**2 + 6*r - 28. What is the remainder when z(3) is divided by 28?
23
Let h(z) = z**3 + 8*z**2 + z - 4. Let n be h(-4). Suppose -4*k = -u + 32, -2*u = -3*k - k - n. What is the remainder when u is divided by 13?
11
Let y = -24 - -62. Suppose -3*a + 332 = -0*m + 2*m, 0 = 3*a + m - 334. Calculate the remainder when a is divided by y.
36
Let x = -67 - -28. Suppose 3*u - 245 = -2*u. What is the remainder when u is divided by (-3 + 0)*x/9?
10
Let y(m) = -34*m**2 - m**3 - 2 + 34*m**2 + 0*m**3. Let z = -5 - -3. Calculate the remainder when y(z) is divided by 3.
0
Let n = 9 + 64. Let j = n - 43. Let y(l) = -2*l**2 - 25*l + 29. What is the remainder when j is divided by y(-13)?
14
Let x(k) = 11*k**2 + 2 + 8*k + 3 + 11 - 12*k**2. Calculate the remainder when x(7) is divided by 13.
10
Let r = 623 - 595. Calculate the remainder when 29 is divided by r.
1
Let f be (-6)/((-2)/((-4)/(-2))). Suppose f*t = t + 25. Suppose 4*k + 2*d - 54 = 4*d, -2*d - 30 = -2*k. Calculate the remainder when k is divided by t.
2
Let w = -427 + 448. Suppose -3*p + 2000 = 2*p. Suppose 10*l - p = 5*l + 5*r, -2*r = 4*l - 314. Calculate the remainder when l is divided by w.
16
Suppose -2*m = -8 + 80. Let b = -17 - m. What is the remainder when 150 is divided by b?
17
Suppose 0 = -3*q, 4*r - 5*q = 9*r - 205. What is the remainder when r is divided by 13?
2
Let s(n) = 304*n - 33. Calculate the remainder when s(3) is divided by 63.
60
Let b = 88 + 1. Let i(w) = w**3 - 13*w**2 - 2*w + 41. Calculate the remainder when b is divided by i(13).
14
Let x(j) = 8 + 5*j**2 + 7*j**2 - 12*j + j**3 - 4*j**2 - 7. What is the remainder when x(-8) is divided by 14?
13
Suppose -6*j + 96 = -3*j. Let r = 269 - 142. What is the remainder when r is divided by j?
31
Suppose -14*f + 768 = -422. Calculate the remainder when f is divi