6
Suppose -154203 = -52*f - 25555. Calculate the remainder when f is divided by 75.
74
Suppose 0 = 9*g - 112 + 40. Suppose -2*k + 0 = 4*t - g, -5*t + 11 = 2*k. What is the remainder when 734/18 + k/(-9) is divided by 15?
11
Let z be 176*6/(-20)*120/(-18). Suppose z = 5*j - 5*p + 8*p, -j = -2*p - 60. What is the remainder when j is divided by 35?
33
Let w = 11564 - 11410. What is the remainder when 611 is divided by w?
149
Let k(i) = -11*i + 4. Let f(u) = -u + 10. Let t be f(12). Calculate the remainder when k(-1) is divided by (-5)/(50/45)*t.
6
Suppose 0 = -5*p - 30*p. Suppose -69 = -u - 5*b - 52, p = -5*u - 2*b + 39. Suppose 0 = -0*d + 4*d - 48. Calculate the remainder when d is divided by u.
5
Suppose 0 = 3*o - s + 503, -712 - 149 = 5*o + 4*s. Let q = 270 + o. Calculate the remainder when q is divided by 13.
10
Suppose 0 = -3*w - 3*w + 42. What is the remainder when (0/1 + -1)*(-7 - 61) is divided by w?
5
Suppose -11*q - 9*q + 19646 = 2*q. Calculate the remainder when q is divided by 181.
169
Let t = -3590 + 5491. Calculate the remainder when t is divided by 28.
25
Suppose 3 = 4*h - 145. What is the remainder when h is divided by (-6)/(-15)*285/6?
18
Let a = 142 - 131. Suppose -a*m + 1360 = 6*m. Calculate the remainder when m is divided by 12.
8
Let t(l) = -6*l + 28 - 4*l - 143*l**2 + 141*l**2. Calculate the remainder when 96 is divided by t(-5).
12
Let c(r) = -r**3 + 6*r**2 + 2*r - 2. Let a be c(-4). Let s = a - 83. Calculate the remainder when s is divided by ((-4)/12)/((-2)/210).
32
Let p(u) = 11*u. What is the remainder when p(4) is divided by ((-15)/(-6))/(1/(-7)*175/(-150))?
14
Let o(l) = -10*l**3 + 6*l**2 + 16*l + 73. What is the remainder when o(-4) is divided by 107?
103
Let b = 113 + -195. Suppose 4*r - 236 = 4*n, -r + 2*r = -n - 67. Let w = n - b. What is the remainder when 56 is divided by w?
18
Let w(j) = -j**2 + 7*j. Let s be w(7). Suppose s = 2*k - 3*h - 16 - 43, 3 = h. Let d = 91588 - 91576. What is the remainder when k is divided by d?
10
Let c(x) = 878*x - 388. What is the remainder when c(1) is divided by 171?
148
Suppose 0 = -f + 2*l + 123, 354 = 3*f - 8*l + 5*l. Let h = f - 87. What is the remainder when 282 is divided by h?
22
Let o be (-16)/(-8) - -1*11/(-1). Calculate the remainder when o/(63/266)*-2 is divided by 16.
12
Let a be 1 - (-21*1)/3. Let g = a - 3. What is the remainder when 21 + 0 + (-1 - -3) is divided by g?
3
Suppose -3*n + 40 + 131 = 0. Suppose 657*h - 7959 = 278*h. What is the remainder when n is divided by h?
15
Let w(g) = -g**3 + 46*g**2 + 44*g + 211. Calculate the remainder when 832 is divided by w(47).
62
What is the remainder when (-391)/(-5) - (-77)/(-385) is divided by 33?
12
Let n = -888 + 775. Let h = n + 241. What is the remainder when h is divided by 45?
38
Calculate the remainder when 502 is divided by ((-18)/(-15))/(-3 - (522/105 - 8)).
40
Suppose 0 = 5*f + t - 6941, 0 = f + 2*t - 1467 + 77. Calculate the remainder when f is divided by 86.
12
Suppose 3*j - 99 = 3*l, 2*j - 4*l + 71 = 5*j. Suppose k + z - 13 = 0, 8*z = 3*k + 9*z - j. Calculate the remainder when ((-20)/3 + 6)*(-60)/2 is divided by k.
4
Let t = -201 + 206. Let i(m) = 3*m**2 + 18*m - 56. Calculate the remainder when i(t) is divided by 55.
54
Let w = 284 - 198. Calculate the remainder when -5 + (-6 + w)/2 is divided by 20.
15
Let x(w) be the first derivative of -w**2 - 32*w - 18. Let a be x(-7). What is the remainder when 212/6 - ((-24)/a + -1) is divided by 9?
8
Let m = -148 + 192. Suppose 4*a = -a + 15. Suppose -245 - 148 = -a*t. What is the remainder when t is divided by m?
43
Let l(j) = -2*j**3 - 31*j**2 - 105*j - 65. Calculate the remainder when l(-12) is divided by 29.
13
Let d be 2/5 - (-3 - 116/10). Suppose -3*j - 2*r - d + 189 = 0, 0 = 2*r. Let u = 44 - 24. Calculate the remainder when j is divided by u.
18
Let o be 0 - (-1 - 27)*15/20. Let j be -6 + 3 + (o - -4). What is the remainder when 0 - (12/(-4) - j) is divided by 7?
4
Suppose -1780 = -5*i - 705. Let t = 259 - i. What is the remainder when t is divided by 28?
16
Let v = 46844 + -46840. Let o(k) = 8*k + 1. What is the remainder when o(7) is divided by v?
1
Let j = 70 + -72. Let u be j/(-4 + 4 - 1). Suppose -46 = u*b - 3*b + s, 3*s = -3*b + 120. What is the remainder when b is divided by 25?
18
What is the remainder when 50073 is divided by (7/2 - 3)*(-20)/(-80)*208?
23
Let l = 83 - -60. Suppose 142*p = 141*p + l. Calculate the remainder when p is divided by 73.
70
Let a(d) = d. Let p(k) = -22*k + 6. Let w(r) = 8*a(r) + p(r). Calculate the remainder when 358 is divided by w(-1).
18
Suppose 5*x - 62 = 103. Let u = -33 + x. Suppose 3*s + 83 = 2*w, u = -w - 2*w - 4*s + 99. Calculate the remainder when 110 is divided by w.
36
What is the remainder when 162 is divided by (-1020)/250 + 4 - 13812/(-150)?
70
Let a(l) = -26*l + 92. Let v be a(8). What is the remainder when (-1*7 + 1)*v/24 is divided by 9?
2
Suppose 2*p - 2*r - 14 = 3*p, 2*r - 56 = 4*p. Let n = p - -31. Suppose 14*j + 177 = n*j. What is the remainder when 115 is divided by j?
56
What is the remainder when 78 is divided by (0 - 1) + 3 + 11?
0
What is the remainder when 2/(-4) - 1817/(-46) is divided by 14 + 0/3 - 0?
11
Let l be 7 - (-30)/36*-6. Suppose 0 = -4*k + 8*q - 9*q + 391, -2*q - l = 0. Calculate the remainder when k is divided by 11.
10
Suppose t = 5*b - 38, b - 5*b = -5*t - 85. Let k = -7 - t. Calculate the remainder when 21 is divided by k.
3
Let i be -8 + (2 + -11)/3. Let h = i + 14. Suppose -h*r = -5*r + 12. What is the remainder when 35 is divided by r?
5
Suppose -5*u - 152*b + 155*b + 439 = 0, -186 = -2*u - 4*b. What is the remainder when 1512 is divided by u?
88
Let m = 17374 + -17332. Suppose 6*s - 2*s = -4*a + 660, -4*a + 656 = 3*s. What is the remainder when a is divided by m?
35
Let v(d) = -d**3 + 14*d**2 - 28*d + 3. Let r be v(13). Let g = r - -202. Calculate the remainder when g is divided by 10.
0
Suppose 2*k + 0*k = 3*r + 41, 3*k + 5*r - 33 = 0. Let l = -652 - -664. Suppose l*j - 15 - 285 = 0. What is the remainder when j is divided by k?
9
Let x(z) = -29*z**2 - 866 - 30*z + 1228 - z**2 - z**3. Calculate the remainder when x(-29) is divided by 66.
61
Let g = -591 - -1046. What is the remainder when 29 is divided by g/52 - (-3)/(-4)?
5
Suppose 0 = -7*k - 3*q + 1329, -1087*k + 1090*k = 5*q + 557. What is the remainder when 600 is divided by k?
33
Suppose -882 = -6*k - 3*x, -144 = -83*k + 82*k - x. Calculate the remainder when 451 is divided by k.
1
Let i(j) = 15*j - 62. Let p(k) = -26*k + 125. Let y(d) = 7*i(d) + 4*p(d). What is the remainder when y(0) is divided by 17?
15
Let p(x) = -2*x**3 + 39*x**2 - 27*x. Let h be p(19). Suppose 5*t + 331 = 1506. Let q = t + h. Calculate the remainder when q is divided by 22.
17
What is the remainder when (882 - 22)/((-5)/(-2)) is divided by 15?
14
Suppose -4*g + 4*i = -368, -4*g + 271 + 79 = 5*i. Suppose 83*f - g*f = -469. What is the remainder when f is divided by 34?
33
Let u(i) = i**3 - 86*i**2 + 415*i - 768. Calculate the remainder when (-9380)/(-16) - 2/8 is divided by u(81).
40
Let r be (2 - (-18)/(-8))*-4. Let y be (-6)/18*(r - -2). Let o(g) = -13*g**3 - g**2 + g + 1. What is the remainder when 27 is divided by o(y)?
3
Suppose 0*h + 3*h - 15 = 0. Suppose 0 = 25*y - 35 + 760. Let q = h - y. Calculate the remainder when q is divided by 9.
7
Suppose 392*d - 389*d + 2*w - 1079 = 0, -d + 362 = w. What is the remainder when d is divided by 8?
3
Let m = -513 + 517. Suppose -2*h + 5*i = -39, 38*h - 12 = 37*h + m*i. Calculate the remainder when 90 is divided by h.
26
Let i(n) = 2*n**2 + 7*n - 11. Let p = -684 + 373. Let x = -289 - p. What is the remainder when i(-8) is divided by x?
17
Suppose -4*o + 136 = 4*t, -5*t - 12 = -164*o + 162*o. Suppose 5*r = r + 396. What is the remainder when r is divided by o?
21
Suppose 42*g - 12*g = -27*g + 7923. Calculate the remainder when 832 is divided by g.
137
Let p be (78 - -7) + -1 + 0 - -3. Suppose -3*x = -p - 6. Suppose -4*q - x = -103. Calculate the remainder when q is divided by 4.
2
Let x = 26 - 17. Let i(f) = f**2 + 2*f + 197. Let t be i(31). Let h = -1122 + t. Calculate the remainder when h is divided by x.
8
Let g = 8498 - 8457. Calculate the remainder when 166 is divided by g.
2
Let b be (-3 + 5)*