0/1)/(-6 + 8). Suppose y*b - 2*b - 21 = 0. Suppose -b + 55 = 2*g. What is the remainder when g is divided by 13?
11
Suppose 4 = 2*y - 0. Let s(v) = -8*v + 16. Let a be s(-7). Suppose 0 = -y*c + 4*x + 58, 6*c - 2*c - a = -3*x. What is the remainder when 62 is divided by c?
20
Let f(r) = -4*r - 55. Let c be f(-15). Suppose 4*a - c*x - 131 = 0, -4*x + 25 = -2*a + 89. Calculate the remainder when 135 is divided by a.
33
Let t(w) = -2*w**3 - 10*w**2 - 244*w - 2423. What is the remainder when t(-11) is divided by 540?
93
Suppose -5*w + 3*d - 180 = -7*w, 3*w = 5*d + 270. What is the remainder when 139 is divided by w?
49
Suppose -5*h - b + 940 = 0, -b + 127 = h - 61. What is the remainder when h is divided by 24?
20
Suppose -4*k + 101 + 511 = 13*k. Calculate the remainder when k is divided by (-6)/(-9) - (-40)/3.
8
Suppose -32*n + 0*n + 96 = 0. What is the remainder when -2*(-27)/18 - (n - 183) is divided by 5?
3
Suppose 4*t + 16 = 0, -5*s + 276 = -3*t - 291. Suppose -l - 271 = -5*m, 2*m = l - 2 + s. Let u = 5 - -15. Calculate the remainder when m is divided by u.
14
Let r(u) = u**3 + 16*u**2 - 38*u + 40. Suppose 83 = 4*n - 0*g - 5*g, g - 67 = -3*n. Let o = 42 - n. Calculate the remainder when r(-18) is divided by o.
16
Let g = 1891 + -1882. Suppose 8 = 4*b - 0*b. What is the remainder when g is divided by b?
1
Suppose 0 = 4*p - 50 - 198. Suppose 217*o - 363646 = -111*o - 18*o. Calculate the remainder when o is divided by p.
59
Let c(m) = 9*m**2 + 16*m - 6. Let a be c(-7). Let t = -281 + a. What is the remainder when 164 is divided by t?
38
Suppose -6059 = -10*a - 899. What is the remainder when a is divided by 11?
10
Let p = -6194 - -6306. Calculate the remainder when 9630 is divided by p.
110
Let k(l) = 24*l + 1. Suppose -27 - 39 = -11*p. Calculate the remainder when p/(-5)*(-55 + -3 - 2) is divided by k(1).
22
Suppose 51*u + 68 = 55*u - 3*p, -u + 17 = -4*p. What is the remainder when (63/(-5))/((-2)/10) is divided by u?
12
Suppose 2*q - 6 = h, -5*q + 2 = 12. Let u(j) = -j**2 - 10*j + 7. Let i(c) = c**2 - 34*c + 144. Calculate the remainder when i(4) is divided by u(h).
3
Let g(l) = l + 5. Let r(n) = -n**2 - 5*n - 24. Let w be r(-11). Let b be (-18)/w + 108/10. Calculate the remainder when 76 is divided by g(b).
12
What is the remainder when -3 + 3 - 1/2*-1102 is divided by 143?
122
Let l = 1 + 3. Suppose 29*g - 27*g = l. Suppose -17 = -g*z + z. Calculate the remainder when z is divided by 9.
8
Calculate the remainder when 285 is divided by ((-6)/(-10) - 1)/(-9 - (-8364)/930).
37
Let h(p) = 17*p - 4. Let z be h(6). Suppose -4*r = -54 - z. Let f = 242 + -235. What is the remainder when r is divided by f?
3
Suppose 31 = 5*z - 4*f, 2 = -6*z - 2*f + 12. Suppose -1032 = -5*b + 3*y, -835 = -4*b + z*y - 10. What is the remainder when b is divided by 1/(1/(-11)*-1)?
9
Suppose -50*p + 1165 + 3935 = 0. Calculate the remainder when p is divided by 18.
12
Suppose -f - 2*m + 166 = 2*m, 3*f = -2*m + 488. What is the remainder when 3/6*2 + f is divided by 178/(-1780) - (-1 - (-642)/(-20))?
31
Let o = 538 + 12. Suppose w - 4*n = 15, 2*w + 4*n = -126 + 168. Calculate the remainder when o is divided by w.
18
Suppose -5*y + 5 = -4*r - 290, -3*r = y - 78. What is the remainder when 263 is divided by y?
11
Let l(u) = -2*u**3 - 15*u**2 - 5*u + 18. Let j be l(-7). Suppose 13 = -7*c + 8*c - j*x, -5*c + 65 = -x. What is the remainder when c is divided by 6?
1
Calculate the remainder when 138 is divided by (-898)/(-26) - (1205/65 - 19).
33
Let u(l) = -l**3 + 9*l**2 - 8*l + 10. Let d = -74 - -77. Calculate the remainder when u(d) is divided by 17.
6
Let n(u) = u**2 + 94*u + 105. What is the remainder when 304 is divided by n(-96)?
7
Let t(x) = -3*x**3 + 3*x**2 + 3*x - 4. Suppose -2941*j = -2946*j + 70. Calculate the remainder when t(-3) is divided by j.
11
Let t(n) = -5*n + 26. Let k be t(-6). Let j be 1*4 + k + -7. Calculate the remainder when (3/(-3))/((-1)/j) is divided by 28.
25
Let y = -52 + 229. Let g = -174 + y. Suppose -5*s - 3*z - 3 = -44, 3*z = -4*s + 34. Calculate the remainder when s is divided by g.
1
Let p be 3 - ((-7)/((-14)/4) + -1). Suppose -705 = p*w - 17*w. What is the remainder when 232 is divided by w?
44
Let n be (-1 + -1 - -8)/((-3)/(-2)). Let u be (1/n)/((-9)/36) - -34. Suppose 0 = 2*i + i - u. Calculate the remainder when i is divided by 5.
1
Suppose -8*a + 9*a + 5*r - 38 = 0, -5*r = -3*a + 154. Suppose -a = -3*m + d, -8*m + 4*m + 57 = d. What is the remainder when 60 is divided by m?
0
Let y(d) = 3*d**2 - 36*d + 5. Suppose -2*x + 22 + 2 = 0. What is the remainder when 22 + -6 + 1/1 is divided by y(x)?
2
Let p = -365 + 368. Suppose p*v - 96 = -l + v, -3*l + v = -302. Calculate the remainder when l is divided by 18.
10
Let d = 3617 + -2698. Calculate the remainder when d is divided by 230.
229
Suppose -240 = 81*l - 77*l. Let a = l + 89. What is the remainder when 256 is divided by a?
24
Let u(s) = -4*s + 127. What is the remainder when 250 is divided by u(18)?
30
Suppose 3*x - 8*t - 183 = -11*t, x = 5*t + 85. What is the remainder when 2468 is divided by x?
63
Let i(q) = 18*q - 6 - 8*q**2 - q + 2*q + 25. Let r be i(-17). What is the remainder when 1/(-3) - r/18 - 3 is divided by 18?
16
Suppose 0 = 80*o - 5294 - 3106. Calculate the remainder when o is divided by 52.
1
Let f = -43 - -53. Suppose 0 = -4*s + f + 14. Calculate the remainder when s is divided by 6.
0
Let z be ((-9)/(-6))/(-3)*(41 - -1). Let s = z + 52. Let d = s + 12. What is the remainder when d is divided by 15?
13
Suppose -705 - 246 = -11*r - 60. What is the remainder when 102 is divided by r?
21
Let n(i) = -i**2 + 76*i - 1291. What is the remainder when ((-15)/6 - -2)*-28 is divided by n(50)?
5
Suppose 33*o + 6 = 35*o. Calculate the remainder when 42 is divided by 6/(4/16 + o/(-48)).
10
Let q = 52 + 49. Suppose 0 = -12*r + r + 44. Suppose -r*g - 29 = -q. Calculate the remainder when 70 is divided by g.
16
Suppose 5 = 5*k, 15*s = 16*s + 3*k - 27. Suppose 7*w - 69 = 4*w. Calculate the remainder when 1*-31*(w - s) is divided by 16.
15
Let p(u) = 10*u - 3. Let q be p(1). Suppose -19 = -c + 2*j + q, 3*j = -3*c + 60. Let d = 38 - 24. What is the remainder when c is divided by d?
8
Suppose -84*i + 832 = -80*i. Calculate the remainder when (-828)/(-26) + 4*8/i is divided by 20.
12
Suppose 5*m - 767 = -v, -21*m + 5*v = -20*m - 143. What is the remainder when m is divided by 144?
9
Let j(l) = 169*l**3 + 5*l**2 + 70*l - 138. Calculate the remainder when j(2) is divided by 28.
2
Let y(a) = 17*a - 10. Let u be y(-24). Let p = u - -470. What is the remainder when 150 is divided by p?
46
Let w be (4 + -2)*-1 - (8 - 150). Suppose -4*n - w = -14*n. Calculate the remainder when 26 - (-3)/(-9)*0 is divided by n.
12
Let i(q) = 11*q - 12. Let j be i(2). What is the remainder when (1/1)/(0 - j/(-40)) is divided by 1?
0
Suppose 2*f - 7 = g, 0*f = 5*f + 5*g - 40. Suppose 0 = -2*d + 3*d - 4*y - 160, -f*y = -5*d + 725. Calculate the remainder when d is divided by 48.
44
Suppose 2312*n = -o + 2317*n + 330, 3*o = 4*n + 1056. Calculate the remainder when o is divided by 67.
25
Let z = -4275 - -4292. What is the remainder when 1374 is divided by z?
14
Let m = -3325 + 3412. What is the remainder when 354 is divided by m?
6
Suppose 0 = -2*i - 2*c - 4, -3*i - 2*c = 2*c + 11. Calculate the remainder when (-3 - -4)*(i - 2 - -18) is divided by 3.
1
Let b = -396 - -599. Calculate the remainder when 1048/7 - (-58)/b is divided by 22.
18
Let m(d) = -3*d**2 + 140*d - 202. What is the remainder when m(44) is divided by 17?
14
Let s = -1385 - -1971. Suppose -6*l + s = -194. What is the remainder when l is divided by 11?
9
Calculate the remainder when 3791 is divided by 76 - (520/(-50) - -7 - (-2)/5).
78
Let p = 145339 + -145159. Suppose 3*w + 2*w = 165. Calculate the remainder when p is divided by w.
15
What is the remainder when 1537 is divided by ((-115)/50 - -2) + 1626/20?
79
Suppose -j = h - 904, -67*h + 64*h + 4534 = 5*j. Calculate the remainder when j is divided by 181.
6
Let z = 51 + -49. Suppose -4*d + 14 = k, -z*d + 7*k - 2*k - 4 = 0. Suppose p + 63 = -4*t + 5*t, -d*p - 69 = -t. Calculate the remainder when t is divided by 11.
5
Suppose 120*b + 630 = 138*b. What is the remainder when 14382 is divided by b?
32
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