2 = 0. Suppose -220*l - 456 = 8*l. Calculate the remainder when 13 + v - (-4 - l) is divided by 4.
2
Suppose 6*z - 1091 = -413. Let m = z - 77. What is the remainder when m is divided by 8?
4
Let n be -1 - -2 - (1 - 1). Let i(y) = y**3 - 51*y**2 - y + 70. Let z be i(51). Calculate the remainder when 97 is divided by 15 + z + -1*n.
31
Suppose 0 = -3*d + 5*z - 50, d - 3*d + 5*z - 35 = 0. Let w(q) = -35*q - 21. What is the remainder when w(-4) is divided by (-1)/((-1)/d)*-2?
29
Let a(l) be the second derivative of l**3/6 + 3*l**2/2 - 31*l. Let x be a(-18). Calculate the remainder when 39 is divided by (x/(-6))/(-1 + (-15)/(-12)).
9
Let x(i) = -2*i - 6 + 0*i + 7*i - 8*i. Suppose -4*a = 4*k - 238 + 26, 4*k = a - 43. Calculate the remainder when a is divided by x(-11).
24
Let l(i) = 8*i**3 - 7*i**2 + 13*i - 10. Let t be l(4). Let d = -389 + t. What is the remainder when d is divided by 9?
8
Suppose 2*k - 8*c = -3*c + 137, -2*k + 134 = -4*c. Calculate the remainder when 347 is divided by k.
42
Suppose 0 = 3*i - 2*d - 1004, i - 20*d - 343 = -21*d. Calculate the remainder when i is divided by 49.
44
Let v = 11568 - 11044. What is the remainder when 1590 is divided by v?
18
Let d(i) = i**2 + 10*i + 13. Let w(z) = z**3 + 11*z**2 - 8*z - 15. What is the remainder when w(-9) is divided by d(-9)?
3
Suppose 415*r - 30989 + 1470 = 6586. Let t = -11 - -30. What is the remainder when r is divided by t?
11
Let s(x) = x**2 + 6*x - 35. Let h be s(-10). Suppose k - 95 = -h*d + 8*d, -k - 3*d + 107 = 0. Calculate the remainder when k is divided by 8.
5
Suppose 884*s - 883*s + 3*h - 302 = 0, s - 3*h = 290. Let t be 0 - 11 - (-1 + 0). Calculate the remainder when (s/t)/((-2)/5) is divided by 39.
35
Suppose 262*a - 18323 - 160654 = 55251. Calculate the remainder when a is divided by 130.
114
Let o(y) = -3*y + 28. Let g(t) = 9*t - 84. Let u(n) = 3*g(n) + 8*o(n). Let a be u(-8). Let h = 89 + a. What is the remainder when h is divided by 23?
14
Let j(b) = -8*b - 18. Let p be j(-6). Let i be -3 + p/9*1470/25. Let o = i + -128. What is the remainder when o is divided by 22?
21
Let p(v) = v**2 - 16*v + 62. Let o be 10/3*630/175. What is the remainder when 135 is divided by p(o)?
9
Calculate the remainder when 318/106 + (24 - 1) is divided by 23.
3
Let d = 778 + -764. What is the remainder when 579/12 + 15/20 is divided by d?
7
Let k = -364 - -350. Suppose -3*h + 319 = -11. What is the remainder when h is divided by (-9468)/(-252) - 6/k?
34
Let u = 3126 + -1654. What is the remainder when (-44)/(-198) - u/(-18) is divided by 28?
26
Suppose -474 - 438 = -3*c. Suppose 948 = 28*v + c. Let o = -5 + 9. Calculate the remainder when v is divided by o.
3
Let t = -23 + 30. Suppose t*s - 3 = 11. Suppose 3*y - 5*d - 43 = 0, 2*y + 8 = 5*y + s*d. Calculate the remainder when 23 is divided by y.
5
Suppose -7*w - 5 - 37 = 0. What is the remainder when 6/(-3*w/138) is divided by 24?
22
Calculate the remainder when 640 + (-3 + -109)/7 is divided by 29.
15
Let g(o) = -6*o**2 - 13*o + 58. Let q be g(7). Let n = q - -403. What is the remainder when n is divided by 22?
10
Let y(c) = -10*c + 14. Let i be -2 - 4/(-16)*-4 - 3. What is the remainder when y(i) is divided by (2/3)/((-10)/(-285))?
17
Suppose -2*c = -4*a + 2*a + 15650, -2*a + 15650 = -4*c. Calculate the remainder when a is divided by 76.
73
Let i be 4 - (-1 + 2 + -2). Let g = i + -4. Suppose 289*l - 54 = 271*l. What is the remainder when l is divided by g?
0
Suppose 0 = 107*w - 112*w + 10. Let i be w/(-3) + (-6)/(-9). Suppose i = -10*r + 11*r - 9. Calculate the remainder when 43 is divided by r.
7
Suppose 0 = -4*a - 3*k + 160, -7*k - 251 = -5*a + 2*k. What is the remainder when 427 is divided by a?
40
Let b = 21 + -15. Let o be 6/(-4)*(-12)/(-9). Calculate the remainder when 53 is divided by (1/o)/(b/(-216)).
17
Suppose -w + 0*w = -3. Suppose 2*r = -7*l + 2*l + 52, -5*l + 88 = w*r. Calculate the remainder when 62 is divided by r.
26
Suppose -2*r + 39*r - 1332 = 0. Calculate the remainder when 552 is divided by r.
12
What is the remainder when ((-73023)/606)/(1/(-2)) is divided by 40?
1
Calculate the remainder when 2838 is divided by (-17081)/(-348) + 13/(-156).
45
Let b(m) = 4*m**2 - 40*m + 2. Let p be b(16). Suppose 19*r - 1260 = -p. What is the remainder when r is divided by 22?
2
Suppose -75 - 145 = -5*k - 2*m, 3*m + 44 = k. Let x be ((-12)/(-2) - 1) + -2. Suppose x*h - k = h. What is the remainder when 85 is divided by h?
19
Let l(y) = y**3 + 15*y**2 - 16*y - 18. Let t be l(-16). What is the remainder when t/(-24) + 401/4 is divided by 6?
5
Let f be 1196/(-26) - (-1 - -1 - -1). Let n(v) = -v**3 - 47*v**2 + 37. Calculate the remainder when n(f) is divided by 13.
11
Let o = 0 + -2. Let t = o - -24. Suppose -16*g + 742 + 177 = 263. Calculate the remainder when g is divided by t.
19
Calculate the remainder when 59 is divided by (2/((-24)/(-308)) - 10/15) + -1.
11
Suppose 5*r = i - 683, 10*i - 14*i + 2732 = -3*r. Calculate the remainder when i is divided by 178.
149
Let c(n) = n**2 + 2*n - 2663. What is the remainder when c(-61) is divided by 86?
76
Let m = 31286 + -31061. What is the remainder when 827 is divided by m?
152
Let g(r) = r**2 - 27*r + 77. Suppose 2*x + 21 = q, -2*q = 15*x - 11*x - 66. What is the remainder when g(q) is divided by 2?
1
Let j be 240/75*30/(-4). Let w = 56 + j. Suppose -n - w = -5*n. What is the remainder when 29 is divided by n?
5
Suppose 0 = 17*j - 18*j + 2*u - 21, -5*u - 41 = 3*j. Calculate the remainder when j*(-3 - (0 + (-3 - -3))) is divided by 13.
12
Calculate the remainder when 318 is divided by -11*133/(-209) - (0 - (2 + 1)).
8
Let n(i) = -28*i + 4. Let a be n(-1). Suppose -20 - a = -2*g. What is the remainder when g is divided by 8?
2
Let c = -152 - -374. Let d = -129 + c. What is the remainder when d is divided by 44?
5
Let o be 1/(-2*6/(-60)). Suppose -4*c + 469 = 5*a - 436, 2*a - o*c - 329 = 0. What is the remainder when a is divided by 46?
39
Let g(s) = 24*s + 1. Suppose y - 2910 = -4*v, -31 + 3 = 14*y. Calculate the remainder when v is divided by g(3).
71
Let h(z) = 6*z**2 - 3*z - 4*z + 23 + 2*z**2 - z. Let b = -28 - -81. Calculate the remainder when h(6) is divided by b.
51
What is the remainder when 644 is divided by (-55)/(-11)*(2618/340 - 2/(-4))?
29
Let u(s) = 8*s**2 + 438*s - 3582. What is the remainder when u(8) is divided by 64?
50
Let c(g) = -2*g**3 - 22*g**2 - 20*g - 117. Calculate the remainder when c(-11) is divided by 10.
3
Let n = 257 + -245. Suppose n*u - 14 - 106 = 0. Calculate the remainder when 448 is divided by u.
8
Let f(x) = -15*x**2 + 5*x - 12. Let m be f(2). Let o = 95 + m. Calculate the remainder when 87 is divided by o.
21
Calculate the remainder when (171/(-171))/((-1)/3041 + 0) is divided by 7.
3
Suppose 0*s - 2*u + 8 = 2*s, 4*s + 2*u = 12. Suppose 5*j + 0*j + 77 = x, -s*x = -2*j - 146. Let q = 87 - x. Calculate the remainder when 104 is divided by q.
14
Suppose 6*h = 62*h - 672. Calculate the remainder when 6237 is divided by h.
9
Let q = -240 - -248. What is the remainder when 28 is divided by (q/(-5))/((-28)/280)?
12
Let f be 20/(1 + 3) - (-489 + 8). Suppose 4*u = 2*p + f, u + 0*u + 4*p - 126 = 0. What is the remainder when u is divided by 26?
18
What is the remainder when (7000/21)/(10/(-12)*12/(-15)) is divided by 13?
6
Let b(s) = s**2 - 23*s - 832. What is the remainder when 895 is divided by b(-20)?
27
Suppose 3*a = -3*i - 2*i + 17, -3*a + 29 = -i. Let n(f) = f + 5. Let z be n(16). What is the remainder when (-214)/(-14) - 6/z is divided by a?
6
Let x = 3532 - 3105. Calculate the remainder when x is divided by 62.
55
Let t be -7 - 1*(-26 - -5). Suppose -5*s + 129 = v, -v + 276 = v + 4*s. Suppose t*q - v = 738. What is the remainder when q is divided by 22?
19
Let i = -59 - -65. Calculate the remainder when 78 is divided by 42/21*63/i.
15
Let o = -1 - -30. Let q(a) = -1133*a - 29345. Calculate the remainder when q(-26) is divided by o.
26
Let m = 479 + -446. Suppose k = f + m - 119, 0 = -3*k + 3. Let q = 70 - 40. What is the remainder when f is divided by q?
27
Let b(r) = 53*r + 5. Let t be b(-3). Let s = t + 261. Calculate the remainder when s is divided by 38.
31
Let m(r) = r**3 + 4*r**2 + 9*r + 19. Let g be m(-5). Let c = g + 56. Suppose -6*t + t = -20. Cal