12 + q = 0. Calculate the remainder when t is divided by 102/14 + (-4)/14.
6
Suppose 1513 = 7*y - 440. Calculate the remainder when y is divided by 257.
22
Suppose -6*n + 871 = -95. What is the remainder when n is divided by (-613)/(-15) - (-4 + 812/210)?
38
Let u = 24779 - 6180. What is the remainder when u is divided by 27?
23
Calculate the remainder when 384 is divided by (1540/(-5))/(-4) - (-7)/7.
72
Suppose -2*b + 2*w = 3*b + 12, 3*b = -5*w - 32. Let c(s) = -s**3 - 6*s**2 - 14*s - 18. What is the remainder when 23 is divided by c(b)?
5
Suppose -56*i + 103*i = -8*i + 330. Suppose -28 = -4*b + 40. Suppose 0 = -p + b + 11. What is the remainder when p is divided by i?
4
Let v(d) = -37984*d + 76047. Let r = -209 - -521. Calculate the remainder when r is divided by v(2).
75
Suppose -1897*u + 1857*u + 1840 = 0. What is the remainder when 478 is divided by u?
18
Suppose -1594*v + 1587*v + 13356 = 0. What is the remainder when v is divided by 91?
88
Suppose -190*j + 192*j - 8 = 0. Suppose 5*i = i - 2*t + 50, 0 = -j*i - 5*t + 59. Calculate the remainder when 152 is divided by i.
9
Let s = 15942 + -15917. Calculate the remainder when 666 is divided by s.
16
Let s(b) be the third derivative of -1/20*b**5 + 0*b - 1/24*b**4 - 7/6*b**3 + 1/40*b**6 + 21*b**2 + 0. Calculate the remainder when 86 is divided by s(3).
42
Let q(i) = i**2 + 53*i + 682. Suppose 0 = 2*p - 3*c - 182, -3*c = -0*p + 5*p - 497. What is the remainder when p is divided by q(-16)?
7
Suppose 0 = b + 5, 4*i + 3*b - 786 = -41. Let r = 201 - i. What is the remainder when 17 is divided by r?
6
Suppose 3*l + 4*w + 20 = 0, -2*l + 4*l - 2*w = 10. Let j(v) = 7*v**2 + 2*v + 1. What is the remainder when (l + 1)/(102/9588) is divided by j(-1)?
4
Let h(u) = 3*u**2 - 39*u + 67. Calculate the remainder when 736 is divided by h(13).
66
Let f = -14689 + 14710. Calculate the remainder when 3650 is divided by f.
17
Let w be (-5)/(-3)*(-9 - -15). Suppose -13 = -2*n - y + w, 3*n = -2*y + 35. Suppose 133 = 7*k - 539. What is the remainder when k is divided by n?
8
Suppose 7996 = 5*a + 2*q + 2333, 4*q - 1129 = -a. Calculate the remainder when a is divided by 63.
62
Let q = -183 + 33. Let g = q - -161. What is the remainder when 98 is divided by g?
10
Suppose -411*g - 278*g = -1951248. What is the remainder when g is divided by 202?
4
Let t = -21 + 34. Suppose -2*h = -5*s - t, 5*h = 5*s - 0*s + 10. Let q = s + 13. Calculate the remainder when q is divided by 4.
2
Let i = 128 + -39. Suppose z - 25 = 2*h, -6*z + h - 96 = -9*z. What is the remainder when i is divided by z?
27
Suppose -2*a + 297 = 5*h, 54*a = -5*h + 50*a + 299. Suppose -3*s - s = -104. What is the remainder when h is divided by s?
7
Suppose 5*x - 2*x = 2*a - 258, 3*a + 2*x = 387. Let w(y) = -11*y - 34. Calculate the remainder when a is divided by w(-9).
64
Let b(g) = -53*g - 6825. Suppose -5*u = -4*u - 105. What is the remainder when u is divided by b(-129)?
9
Suppose 47 + 53 = 20*a. Suppose 0 = 3*v + 5 + 1. Let i = v - -6. Calculate the remainder when a is divided by i.
1
Suppose 22 = -3*l + 25. Calculate the remainder when 125 is divided by (0 - l)*(-609)/29.
20
Suppose 317*j + 100*j = 1012476. Calculate the remainder when j is divided by 38.
34
Let i(u) = -2*u**3 - 6*u**2 + 49*u + 4. Calculate the remainder when i(-11) is divided by 63.
15
Suppose 1571 + 3811 = 138*j. What is the remainder when 1116 is divided by j?
24
Suppose 6192 = -y - 5*y. Let n be (-4)/(-22) - (y/33)/4. What is the remainder when 6/n - (-2367)/12 is divided by 25?
23
Let p = -1043 + 1055. Let a(u) = -28*u + 8. Let d be a(7). Let q = d - -269. Calculate the remainder when q is divided by p.
9
Suppose -18200 = -82*q + 17*q. Calculate the remainder when 850 is divided by q.
10
Suppose 3*v - 56 = -4*l, 0 = 4*l - 0*l + 2*v - 56. Suppose 3*m - l = m. What is the remainder when (-2)/4*34/(-1) is divided by m?
3
Let x(g) = -17*g + 5. Suppose 17*y - 2980 = -2538. Calculate the remainder when x(-4) is divided by y.
21
Let g = -1318 + 2494. Calculate the remainder when g is divided by 11.
10
Let n be (-3045)/(-21) + 2*4/(-2). Let v = n + -40. Calculate the remainder when v is divided by 30.
11
Let h be (-4)/16 + (-151)/8*2. Let f = 124 - h. Suppose 0 = -9*o + 7*o + 66. Calculate the remainder when f is divided by o.
30
Suppose -52*o = -56*o - 32. What is the remainder when ((-16)/o + -3)*(2 + -216) is divided by 24?
22
Let j(s) = -s**3 + 5*s**2 - 3*s - 3. What is the remainder when 8785/210 + 10 + 30/72*-2 is divided by j(3)?
3
Let y be -2 - (-1 - (2 + 0)). What is the remainder when y/(((-3)/375)/(1 - 2)) is divided by 42?
41
Suppose -19*r + 1088 = 58*r - 1068. What is the remainder when 2681 is divided by r?
21
Let m(t) = -8 + 21*t + t**2 + 89 - 11*t + 4*t. Suppose -w + 42 = w. Calculate the remainder when m(0) is divided by w.
18
Let t = 3417 - 3349. What is the remainder when 471 is divided by t?
63
Suppose -2*j + 370 = 3*h, 2*h + 4*j + j - 243 = 0. Let k = h + -70. What is the remainder when k is divided by 11?
10
Suppose 41 = 6*g - 205. Let o be 10/(-4)*(4 - 84/15). Suppose 4*u - o + 0 = 0, 0 = -4*v + 5*u + 483. Calculate the remainder when v is divided by g.
40
Let i = -65 + -23. Let v = -77 - i. Let w = v - -33. What is the remainder when w is divided by 24?
20
Let g be ((-2595)/(-12))/5 - 6/(-8). Suppose 0 = -o + 6 + g. What is the remainder when o is divided by 17?
16
Let u(m) = 51*m + 4852. What is the remainder when u(-29) is divided by 7?
6
Suppose 4*m - 2570 = 5*d, -3*d + 3199 = 5*m - 7*d. Calculate the remainder when m is divided by 309.
17
Suppose 0 = 5*w - 2*l - 295 - 414, 5*w - 713 = 4*l. Let y be (w/15 - 7)/(6/80). Suppose -y = 5*k - 132. Calculate the remainder when 117 is divided by k.
17
Suppose 2*n - 25*j = -23*j + 476, n = 4*j + 232. Calculate the remainder when n is divided by 75 + -13 + (0 - 1).
57
Let x = -41219 - -41823. What is the remainder when x is divided by 315?
289
Suppose 114*u = -50*u + 86592. What is the remainder when u is divided by 27?
15
Let q(f) = -f**3 - 11*f**2 - 25*f - 113. What is the remainder when q(-14) is divided by 36?
33
Suppose 1272 = -11*f + 64*f. Calculate the remainder when 238 is divided by f.
22
Let d = 10097 + -9697. Calculate the remainder when d is divided by 172.
56
Suppose 2*q + 4*t - 7630 = 0, 4*q + 4*t - 5013 = 10227. What is the remainder when q is divided by 22?
21
Let j(z) = -11*z + 22. Let u be j(2). Let m(c) = c - 109. Let o be m(u). Let b = o + 128. Calculate the remainder when 112 is divided by b.
17
Let q be 4961 + 6 + 5 + -4. Suppose 0 = 35*m + 11*m - q. What is the remainder when m is divided by 53?
2
Suppose 0 = -47*m + 49*m + 10. Let i = 24 + m. Suppose 3*l - i + 10 = 0. Calculate the remainder when l is divided by 1.
0
Let m(q) = q**2 - 28. Let k be m(0). Let r = 47 + k. Let g = r - 13. Calculate the remainder when 16 is divided by g.
4
Suppose 0 = 4*o - 132 + 60. What is the remainder when 53/((o/(-54))/(1/(-3))) is divided by 23?
7
Let w(d) = 7*d - 50. Let f be w(8). Suppose -8*c + 118 = f. Calculate the remainder when c is divided by 10.
4
Let d = -166 - -176. Let v(b) = -3*b**2. Let g be v(1). What is the remainder when d is divided by (-2)/g*(3 + 0)?
0
Suppose -1414*c + 1641*c - 1589 = 0. What is the remainder when 718 is divided by c?
4
Suppose 0 = 392*k + 19*k - 34524. Calculate the remainder when 669 is divided by k.
81
Let i(p) = -p**2 + 258*p + 6056. What is the remainder when i(-21) is divided by 92?
13
Let v(i) = i**3 + 12*i**2 - 33*i - 6. Let s = -37 + 227. Calculate the remainder when s is divided by v(-14).
62
Suppose 4*c = -12, 0 = 2*x - 0*x - 5*c - 37. Suppose 5 + x = g. Calculate the remainder when g is divided by 3.
1
Let t be -546*(1 + 6/(-4)) - -5. Let r = -260 + t. Calculate the remainder when 115 is divided by r.
7
Let y(r) = r**3 + 11*r**2 - 3*r - 15. Let p be (1*3/(-2))/((-2)/4). Suppose p*a + 33 = -0*a. What is the remainder when y(a) is divided by 7?
4
Let p = -77 - -72. Let h(n) = n**3 + 4*n**2 + 7*n + 6. Let b be h(p). Let y = b + 77. What is the remainder when y is divided by 13?
10
Let x = -203 + 178. What is the remainder when 162 is divided by ((-66)/110)/(1/x)?
12
Suppose -h = -2*v + 35943, -3*h + 0*h = -21. Calculate the remainder when v is divided by 168.
167
Sup