s divided by z.
42
Suppose 108*p + 17328 = 114*p. Let v = p + -1950. Calculate the remainder when v is divided by 10.
8
Suppose -42 = -3*j - 9. Let q = j + -5. Suppose 14 = o - 5*v, 5*v = q*o - o - 70. Calculate the remainder when 81 is divided by o.
11
Let s(u) = -7*u - 1. Suppose -1891 + 13226 = 5*k. Let q = k + -2259. Calculate the remainder when s(-5) is divided by q.
2
Let h(s) = -s**3 + 61*s**2 - 111*s + 31. What is the remainder when h(59) is divided by 67?
42
Let r(u) = 10*u**2 - 39*u - 200. What is the remainder when 2437 is divided by r(8)?
5
Let n(w) = 7*w**2 + 14*w + 2. Let u be n(6). Let q = u + -318. What is the remainder when 59 is divided by q?
19
Let l(d) = -47*d - 30. Let y be l(-8). What is the remainder when (-9*12/36)/((-3)/y) is divided by 50?
46
Suppose -r + 165 = 5*p, -r + 97 = 4*p - p. What is the remainder when (13/(-3))/(3/(-99)) is divided by p - (-9)/((-54)/(-12))?
35
Let a = 229 + -217. Suppose 0 = 4*y - 2*z + 4*z - 36, z = y - a. What is the remainder when 177 is divided by y?
7
Suppose 109*a + 574 - 30440 = 0. Calculate the remainder when 1649 is divided by a.
5
Let x = 7450 - 7418. What is the remainder when 200 is divided by x?
8
Let d(i) = -5*i**3 + i**2 - 3*i - 2. Let c = 22 - 17. Suppose 3*m + 2*f = 0, m + 4 = -c*f + 17. What is the remainder when 189 is divided by d(m)?
45
Let t = -7 - -12. Let c = -55 + 65. Let u(w) = 4*w**2 - 33*w - 39. What is the remainder when u(c) is divided by t?
1
Let p(u) = -15*u - 3. Let o = -6515 + 6570. What is the remainder when o is divided by p(-2)?
1
Let j = 7 + -4. Let u = -37125 + 37127. Suppose -5*n = 2*a - 130, -28 = -j*n - u*a + 50. What is the remainder when n is divided by 9?
8
Suppose 14*z - 105991 = 47393. What is the remainder when (z/176)/(6/16) is divided by 10?
6
Suppose -3*p = -15 - 3. Calculate the remainder when (29/(-12) + 53/(-159))*-12 is divided by p.
3
Calculate the remainder when (1/(-3))/(-43 + (-4165616)/(-96876)) is divided by 220.
181
What is the remainder when (-13)/(78/(-48)) - -399 is divided by 127?
26
Let p = 16524 + -16463. What is the remainder when (-481)/(-4) - (-2)/(-8) is divided by p?
59
Let p(q) = -8*q**2 - 64*q - 48. What is the remainder when 577 is divided by p(-5)?
1
Suppose u - 128 = -u - m, 246 = 4*u - 3*m. Let d = u + 156. What is the remainder when d is divided by 37?
34
What is the remainder when ((2 - 5/2)*6)/(73/(-8833)) is divided by 31?
22
Suppose -16*y + 190 = -21*y. Let j = y + 40. Suppose 7 = i - j*z, i + 2*z - 32 = -z. What is the remainder when i is divided by 9?
8
Let a(x) be the first derivative of 2/3*x**3 + 17 - 19*x + 4*x**2. What is the remainder when 177 is divided by a(-8)?
42
Suppose 26*f - 1032 + 616 = 0. What is the remainder when 25855 is divided by f?
15
Suppose -5*f = -o - 912, 4*f = 2*o + 2*o + 720. What is the remainder when f is divided by 204/2*(46/76 - 242/2299)?
30
Suppose 0 = p + 5*o - 11, -4*p - o + 0*o = -63. Suppose 2*a = -3*q + 52, -5*q - p = 2*a - 96. Calculate the remainder when 66 - -3 - (-1 + 2) is divided by q.
12
Let p(g) = 3*g + 30. Let m be p(-10). Suppose m*s + 70 = s. Let z(b) = b**3 - 3*b**2 - 4*b - 11. Calculate the remainder when s is divided by z(5).
13
Let x = 267 - 260. Suppose 0 = -x*r + 20*r - 130. Suppose 0*f = 4*f - 68. Calculate the remainder when f is divided by r.
7
Let w(r) = 9 - 2*r**2 - 2*r - 1 + 32*r**3 + 8*r - 33*r**3. What is the remainder when 55 is divided by w(-4)?
7
Suppose -l + 1223 = 5*a - 8*a, 0 = 4*l - a - 4848. Suppose -22*b - l = -3103. What is the remainder when b is divided by 24?
14
Let a = 2225 - 2104. What is the remainder when 3384 is divided by a?
117
Suppose 0 = 6*u - 2 + 2. Suppose 5*x + 27 + 33 = u. Calculate the remainder when 35 is divided by (-6 - x/8)/((-2)/4).
8
Let j(h) = h**2 - h + 7. Let r = -659 - -661. What is the remainder when (0 + 1)/(1/26) is divided by j(r)?
8
Let c be (-4)/(-6) + (-374)/(-51). Let s(n) = 8*n - 3. Let t be s(c). Let v = -50 + t. Calculate the remainder when 53 is divided by v.
9
Suppose 2*q + 3*q - 34 = -3*y, 3*y + 4*q = 35. Suppose 9 = 2*i - 1. Suppose -2*f - 28 = -b - 3*b, -4*b = i*f - 42. What is the remainder when y is divided by b?
5
What is the remainder when -5*(-12 + 4695)/(-21) is divided by 42?
23
What is the remainder when 3359 is divided by 24*20/(-560)*-21?
11
Suppose 115 + 281 = 125776*f - 125710*f. Let d = -7 + 10. Calculate the remainder when f is divided by d.
0
Let y be 1/((3/(-1))/(-6)). Suppose y*b - 130 = 2*a, 0 = -0*b + 2*b - 4*a - 132. Calculate the remainder when b is divided by (4 - 20)/(-1) - 3.
12
Let a = 7690 - 7561. Calculate the remainder when a is divided by 105.
24
Let u = -2219 + 2354. What is the remainder when u is divided by 105?
30
What is the remainder when 268 is divided by -7 + ((-34)/(-34))/((-1)/(-26))?
2
Let w = -12299 + 13398. What is the remainder when w is divided by 37?
26
Suppose 4*x + 4*o - 128 = 0, 0 = 5*x + 3*o - 49 - 121. What is the remainder when x - ((-19)/(-3) - (-28)/(-21)) is divided by 28?
4
Let r(a) = -2*a + 5. Suppose 4*q = 4, -2*q - 858 = -5*x - 0*q. What is the remainder when x is divided by r(-1)?
4
Let q(h) = -h**2 + 26*h + 3130. What is the remainder when q(0) is divided by 18?
16
Let z = 1484 - 895. What is the remainder when 1189 is divided by z?
11
Let k(d) = -12*d - 22. Let a be k(-2). Suppose h - c + a*c = 32, 2*h - 55 = c. Suppose 0 = -3*n + 11*n - 448. Calculate the remainder when n is divided by h.
27
Suppose -5*u - 17 = -4*d, 19 = -4*u + 3*d + 2*d. Let q = 0 - 30. Calculate the remainder when (-30)/q - (u - -76)/(-1) is divided by 16.
12
What is the remainder when (290/4)/((-60)/(-1800)) + -6 is divided by 12?
9
Let t(n) = -29*n + 383. Calculate the remainder when 580 is divided by t(11).
4
Let t(j) = j**2 - 41*j + 236. Calculate the remainder when 146 is divided by t(6).
16
Suppose -168 = -2*i + 134. Suppose u - 4*a + 19 = 3, -2*u + 4*a = -16. What is the remainder when i is divided by u?
23
Let x = 98 + -90. Let n be (-1 - -1)/(-5 + 3). Suppose n = 2*m - m - x. What is the remainder when 38 is divided by m?
6
Suppose 7*p + 168 = 4*p. Let i = p + 59. Suppose 5*w - 2*x - 182 = 0, i*w + x - 112 = 5*x. Calculate the remainder when 107 is divided by w.
35
Let a be (-15)/(-6)*-5*(-4)/10. Suppose 4*m = 3*m - 5*b + 15, b = a*m - 23. What is the remainder when 71 is divided by 8/2*(140/16 - m)?
11
Suppose -79*q + 253135 = 1046. Calculate the remainder when q is divided by 28.
27
Let p(o) = o**2 + 445*o + 3944. Calculate the remainder when 571 is divided by p(-9).
11
Suppose -v - 7 = -54. Let a(t) = -t**3 + 17*t**2 + 18*t + 4. Let y be a(18). Suppose 9*m = -y*m + 2418. What is the remainder when m is divided by v?
45
Let i(v) = -v**2 - 15*v - 10. Suppose -6*r - 2*t - 30 = -3*r, -2*r + 5*t = 20. What is the remainder when i(r) is divided by 6?
4
Let o(j) = j**3 - j**2 - j + 316. Let w(q) = q**3 + 484*q**2 - 29644*q + 9. What is the remainder when o(0) is divided by w(55)?
60
Calculate the remainder when 418 is divided by -3 - (-24)/8 - (-2)/(-2)*-67.
16
Let f = -5164 + 5257. What is the remainder when 136 is divided by f?
43
Let g = 412 + -45. Suppose 9*c - g = -61. Calculate the remainder when 235 is divided by c.
31
Let t be (-46)/(13/(-21) + (-32)/(-112)). Suppose t = -12*k + 6*k. Calculate the remainder when 41 is divided by 6/(-9) + k/3*-1.
6
Let r = -3757 + 3795. What is the remainder when 1373 is divided by r?
5
Let l = -40 + 60. Suppose -9*h + 42 = 5*h. Suppose q = 4*b + 62, 5*b + 123 = h*q - 91. What is the remainder when q is divided by l?
18
Suppose -b + 60 = 5*m, -5*m = 8*b - 3*b - 260. Let k = 24 + b. What is the remainder when k is divided by 38?
36
Let d = -1 + 3. Suppose 2*v - 107 - 23 = 2*l, 0 = -2*l - d*v - 130. Let a = l + 113. Calculate the remainder when a is divided by 13.
9
What is the remainder when 41/((-101)/(-22) - (-630)/(-140)) is divided by 21?
10
Suppose -3*d + 8*d = 2*z + 367, 0 = -d + 2*z + 83. What is the remainder when d is divided by 6?
5
Suppose x = 504 - 496, r - 3*x = 41. What is the remainder when 4126 is divided by r?
31
Suppose 45 = 4*s + 37. Suppose s*k = -t + k + 19, 3*k = -t + 17. Suppose 4*v = 2*z - 7*z + 53, -2*v + 4*z = 6. What is the remainder when t is divided by v?
6
Let i = -9697 - -9854. What