8. Let a = -263 + o. Calculate the remainder when a is divided by 40.
32
Let s(m) = 6*m**3 + 43*m**2 + 3*m - 5. Let i be s(-7). Suppose 5*o + 27*d = i*d + 79, -5*d = -5. Calculate the remainder when 29 is divided by o.
14
Let d = 99 + -110. Suppose 2*p = -4*g - 24, -9 = 5*g + 3*p + 23. Let w = g - d. What is the remainder when 19 is divided by w?
5
Let l(a) = -a + 49. Suppose 0 = -5*i + 25 + 15. What is the remainder when l(35) is divided by i?
6
Let j(k) = 615*k + 1244. Calculate the remainder when 6282 is divided by j(-2).
10
Let l be 6/(-9)*99/(-2). Suppose 0 = l*t - 28*t - 100. Calculate the remainder when t is divided by 7.
6
Let m be 208/(-39)*((-189)/(-6))/3. What is the remainder when 49 is divided by (63/28)/((-6)/m)?
7
Let x(t) = -8*t**3 - 5*t**2 + 4*t + 35. Let l be x(-4). Calculate the remainder when 88 is divided by (-5)/(l/(-738) + 2/18).
8
Let z = 74 - 70. Suppose -330 + 282 = -z*d. Suppose 92 = 4*a - 3*n, -n = -a + 5*a - 92. Calculate the remainder when a is divided by d.
11
Suppose 12*v - 7*v + 13 = -r, 3*r - v = 57. Calculate the remainder when 21 is divided by r.
4
Let f = 41566 - 41488. Suppose -3*o = -o - 64. What is the remainder when f is divided by o?
14
Let m = -16103 - -16117. Calculate the remainder when -1 + 1 - (-151 + 0) is divided by m.
11
Let o be 23 + -6 + (-2)/(-2). Calculate the remainder when 78 - o/(-1 - 5) is divided by 5.
1
Let r be 11 + (-6)/2 - 4. Suppose -2*v + r*g = 2, 3*v = 4*g + 2 + 1. Suppose 11 = w + 4*h, -2*w + 32 = -2*h + 5*h. What is the remainder when w is divided by v?
4
What is the remainder when 931 is divided by 68/(-986)*-1 - (-14380)/58?
187
Suppose -143 = -y + 4*b, 16*y = 12*y + 2*b + 656. Calculate the remainder when y is divided by 10.
7
Let t(h) = 18*h - 20. Let j be t(3). Suppose 31*x + 321 = j*x. Calculate the remainder when x is divided by 54.
53
Suppose -279*k + 1010*k - 10094 = 21339. Let o = 569 + -401. What is the remainder when o is divided by k?
39
Let s = -23 - -60. Let y = 20 - s. Let t = y + 41. What is the remainder when 71 is divided by t?
23
Suppose 228*c = 234*c - 84. Suppose 2*u - 7*u = -15, 5*g - 2*u - 79 = 0. What is the remainder when (-5)/10*c - -54 is divided by g?
13
Let h be 82*(-6)/36 - (-1)/(-3). Let z be (3 + (-14)/(-8))*4. Let q = z + h. What is the remainder when 9 is divided by q?
4
Let u be (9/(225/(-40)))/((-2)/35). Suppose 38*t = u*t + 1040. What is the remainder when t is divided by 2 + (0 - 0) + 33?
34
Let a(o) = -4*o + 17. Let n be a(-2). Let d be 45/3 + (-5 - -3). Let u = n - d. Calculate the remainder when 94 is divided by u.
10
Let n = 23 - 27. What is the remainder when (-5)/5*(2 - -11)*n is divided by 4?
0
Let s(y) = -y**3 + 16*y**2 - 10*y + 60. Calculate the remainder when s(15) is divided by 105.
30
Let u = 29266 - 29106. What is the remainder when 1279 is divided by u?
159
Let h be (-1 - (-8)/9) + (-7154)/9. Let w = -762 - h. Calculate the remainder when 95 is divided by w.
29
What is the remainder when 618 is divided by (-88)/198*(2 - (1365 - 4))?
14
Let v(r) = -21*r - 88 + 10*r + 0*r. What is the remainder when 4/(-6) - 1473/(-9) is divided by v(-13)?
53
Let f be -1 - (2 + 2) - -8. Suppose -f*q + 76 = -4*s, 4*q + 4*s = 3*q + 20. What is the remainder when 90 is divided by q?
18
Suppose -108 = 9*r - 414. Suppose 2*v = 4*y + r, -5*v - 2*y = -6*y - 103. What is the remainder when 136 is divided by v?
21
Suppose -2*h - 383 = -i, -3*i - 120*h + 116*h = -1169. What is the remainder when i is divided by 46?
19
Let d(b) = -2*b**2 - 22*b + 372. Calculate the remainder when 269 is divided by d(-19).
65
Let w(f) = -3*f - 66. Let h be w(7). Let y = h + 103. What is the remainder when 95 + 1/(-3)*0 is divided by y?
15
Let r(v) = -v**3 + 44*v**2 - 158*v + 63. What is the remainder when r(40) is divided by 8?
7
Let o(n) = -n**2 + 17*n - 19. Let r be o(14). Suppose r*j = 25*j - 334. Calculate the remainder when j is divided by 9.
5
Suppose t = -y + 69, t - 35 - 18 = 3*y. Calculate the remainder when 5067 is divided by t.
62
Suppose 0 = 3*p - 4*n - 644, -15*n + 12*n - 430 = -2*p. What is the remainder when p is divided by 72?
68
Let s be (-3)/5*(-7 - -2). Let x be 1 + (-5 - -9) + 473. Suppose 0 = -4*l - 2*n - s*n + 394, -5*l + n + x = 0. What is the remainder when l is divided by 25?
21
Let c = 97 + -969. What is the remainder when 2/(-15) + c/(-15) is divided by 16?
10
Let x(i) = i**3 + 25*i**2 - 56*i - 655. What is the remainder when 3128 is divided by x(-26)?
3
Suppose -20*y - 4*y = 11*y - 4970. Calculate the remainder when 290 is divided by y.
6
Let n = -9 - 5. Let u = n - -10. What is the remainder when (-6)/u*-23*16/(-24) is divided by 6?
5
Let k(u) = -u**2 + 82*u + 1559. Let z be k(95). Let h = 391 + -188. Let j = z - h. Calculate the remainder when j is divided by 31.
28
Let u = -211 + 248. What is the remainder when u is divided by 6?
1
Let u = -834 + 141. Let o = -654 - u. Calculate the remainder when o is divided by 6.
3
Calculate the remainder when (-127 - -415) + (1 - 0) is divided by 48.
1
Let h(k) = k**3 - 7*k**2 + 18*k - 20. What is the remainder when h(8) is divided by 6?
2
Let l be (4/(-12))/((-1)/84). Let n be 1/((l/(-232))/(-7)). Let z = n + -29. What is the remainder when 55 is divided by z?
26
Let g(n) = -n - 4. Suppose 2*q = l - 1, -3*q - l = 10 - 1. Let r be -5 + 0 + 2/q. Calculate the remainder when 10 is divided by g(r).
0
Suppose 2*r - 850 = 5*u - u, 5*u + 1274 = 3*r. Let b(p) = -278*p**2 - 2*p - 1. Let z be b(-1). Let m = z + r. Calculate the remainder when m is divided by 37.
35
Let d(r) = r**3 + 21*r**2 + 33*r - 32. Calculate the remainder when d(-19) is divided by 44.
19
Let p(y) = -2*y**2 - 224*y - 860. Calculate the remainder when 2892 is divided by p(-108).
0
Let p(m) = m**3 + 12*m**2 + 12*m + 1. Let i be 14/32*-1*4*4. Let o be p(i). Suppose o = 10*r - r. What is the remainder when 52 is divided by r?
16
Let y(h) = -10*h - 64. Let z be y(-7). Suppose z = 5*k - 109. Calculate the remainder when 109 is divided by k.
17
Let m = -6653 + 6761. What is the remainder when 1183 is divided by m?
103
Let x(y) = -2*y + 92. Let b(n) = 3*n + 38. Let f be b(-16). Calculate the remainder when x(f) is divided by 29.
25
Suppose 198*k - 203*k = a - 5234, k - a = 1042. What is the remainder when k is divided by 81?
74
Let t(u) = -7*u + 43. Let c be 456/95 + 2/10. Suppose 3*r + 12 = 78. What is the remainder when r is divided by t(c)?
6
Calculate the remainder when 1518 is divided by (((-273)/84)/(1/(-2)))/(3/6).
10
Let p be 36/2 - ((-6)/1)/(-3). Suppose 0 = 2*k - 28 - p. Suppose -4*u + 35 = 5*v - 3*u, -2*v + u + 7 = 0. What is the remainder when k is divided by v?
4
Suppose -27*i + 34*i = 1960. Let u = 606 - i. What is the remainder when u is divided by 33?
29
Suppose -3*t + 506 = -4*r, -4*t = -0*t + 2*r - 660. Let d(g) = -g**3 - 127*g**2 - 118*g + 1015. What is the remainder when t is divided by d(-126)?
5
Let m = 21045 - 20952. Calculate the remainder when 153 is divided by m.
60
Suppose -13*i - 504 - 198 = 0. Calculate the remainder when (i/(-4))/(12 - (-1755)/(-150)) is divided by 23.
22
Let t(x) = 2*x**2 - 2*x - 1. Let d be t(-2). Suppose -d*g + 114 = -5*g. What is the remainder when g is divided by 13?
6
Suppose 40*b = -115 - 165. Let o = 1 - 0. What is the remainder when 64 is divided by 20/o - 14/b?
20
Let z(c) = c**2 + 10*c - 12. Let g be z(-11). Calculate the remainder when 252 is divided by 85*(g - 48/(-30)).
48
Suppose 5*f = 357 + 98. Let a = -77 + f. Calculate the remainder when 40 is divided by a.
12
Let b = 22 + -24. Let m(q) = -7*q**3 - 2*q**2 + q + 2. What is the remainder when 186 is divided by m(b)?
42
Let c = -390 + 1148. Suppose 14*b - 264 - c = 0. Let o = 33 - 18. Calculate the remainder when b is divided by o.
13
Calculate the remainder when 149/(-1 - (3 - 5)) is divided by 24.
5
Let d(z) = 24 - 10*z**2 + 3*z**2 + 10*z - 38*z + 9*z**2. Calculate the remainder when 92 is divided by d(14).
20
Let r(d) = -d**2 + 4*d - 5. Let l be r(4). Let i be (l/(-2))/((-10)/20). What is the remainder when 52 is divided by i + (-18)/(-2) + 2?
4
Let l = 365 + -238. What is the remainder when l is divided by 2 + 27 - (3 - 0)?
23
Suppose 25*j - 23*j - 2112 = -4*o, j - o - 1074 = 0. What is the remainder when j is divided by 262?
20
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