uppose 3*f + 4*p = 2, p = 4*f - 0*f - 9. Let n = 71 - f. What is the remainder when n is divided by 18?
15
Let x be ((-19)/(-3))/(1/15). Suppose -8*h + 3*h = -x. What is the remainder when h is divided by 5?
4
Let u = -76 + 84. What is the remainder when 67 is divided by u?
3
Let l(w) = -w**3 - 13*w**2 - 7*w - 32. Calculate the remainder when 134 is divided by l(-13).
16
Let v = 68 + -26. Calculate the remainder when (-128)/(2 - 3) - 3 is divided by v.
41
Suppose -5*r + 30 = 5*s, -s - 10 = 9*r - 4*r. Let h = s - -8. What is the remainder when h is divided by 3?
0
Suppose 182 = 37*w - 521. Calculate the remainder when 1082 is divided by w.
18
Let m(s) = s**2 + 7*s - 31. Let u be m(-14). Suppose -2*a + u = 5*p, -p - 3*a = p - 18. What is the remainder when 39 is divided by p?
9
What is the remainder when 167 is divided by (-3)/(6/92)*(-67 + 66)?
29
Let i be (6/(-8) - 10/40) + -52. Let v = i + 58. What is the remainder when 13 is divided by v?
3
Suppose 5*j - 21 = 94. Suppose 0 = 2*c - 8, 222*c - 218*c - 8 = a. What is the remainder when j is divided by a?
7
Suppose 0 = -7*z + 6*z - 74. Let d(n) = -9*n - 41. Let q be d(-21). Let k = q + z. Calculate the remainder when k is divided by 25.
24
Let n = 1130 + -1070. Calculate the remainder when 202 is divided by n.
22
Let f(h) = 2*h**3 + 27*h**2 - 14*h - 80. Calculate the remainder when f(-13) is divided by 259.
12
Suppose 0 = 15*u - 11*u - 8. Suppose 3*r + 234 = 5*l, -4*l + 174 = -0*r + u*r. Calculate the remainder when l is divided by 12.
9
Suppose -62 = -4*f + 2*v, 2*f - 38 = -5*v - 13. Let b = 9 + -1. Calculate the remainder when f is divided by b.
7
Suppose -2*l - 2*l = -16. Suppose 4*i + 44 = 3*k - 149, -l*i = -5*k + 319. Calculate the remainder when k is divided by 22.
19
Suppose 13 = 5*c - 32. Suppose 67*t - 68*t = -5*k - 1, 0 = 4*k - 4. Calculate the remainder when c is divided by t.
3
Let k(r) = -r**3 + 4*r**2 + 7*r + 3. Calculate the remainder when 54 is divided by k(5).
2
Let c(i) = -i**3 + 8*i**2 - 7. Let d(n) = -n**3 - 5*n**2 - 6*n - 2. Let r be d(-4). Let k = 17 + 0. What is the remainder when c(r) is divided by k?
14
Let f(h) = 163*h - 638. Calculate the remainder when 124 is divided by f(4).
12
Let h be ((-6)/(-4))/(6/7144). Calculate the remainder when h/14 - 15/(-35) is divided by 26.
24
Let l = -1 - -7. Let v(b) = b**3 + 21*b**2 + 16. What is the remainder when v(-21) is divided by l?
4
Suppose 0 = -4*c + 2 + 2. Let j be c/(-2)*-2 + -3. Let f(g) = -3*g**3 - g**2 - 2*g - 1. What is the remainder when 67 is divided by f(j)?
21
Suppose z = y - 19 - 14, 0 = -y + 3*z + 39. Let u = 1359 + -1348. Calculate the remainder when y is divided by u.
8
Suppose 17*l = 20*l - 432. What is the remainder when l is divided by 131?
13
Let i(d) = 5*d**3 - 2*d**2 - 2*d + 5. Let b be i(-3). Let j = b - -239. What is the remainder when j is divided by 33?
31
Let l(w) = -11*w - 103. Calculate the remainder when 97 is divided by l(-10).
6
Let z = -286 + 314. Calculate the remainder when 48 is divided by z.
20
Suppose 0 = -5*d + 94 - 34. Suppose 4*z + 49 = v, -99 = 5*v + 4*z - 320. What is the remainder when v is divided by d?
9
Let g be ((-21)/6)/(3*6/(-180)). Let c be (-47)/(-7) + (-2)/(-7). Suppose -2*h - g = -c*h. What is the remainder when 13 is divided by h?
6
Suppose -2*n + 2*x + x + 83 = 0, -x + 95 = 2*n. Calculate the remainder when 269 is divided by n.
39
Let l = 8 - 3. Suppose -2*z = -l*z + 24. What is the remainder when 30 is divided by z?
6
Let q(m) = -2*m - 3. Let y be q(-5). Suppose 0 = -5*n + y*n - 2. Let w = -12 - -13. What is the remainder when w is divided by n?
0
Let o(q) = -12*q + 100. What is the remainder when o(5) is divided by 36?
4
Let m(h) = -21*h + 7 - h**3 - 5 - 21*h**2 + 3 + 1. Calculate the remainder when m(-20) is divided by 10.
6
Let m(r) = -r**3 - 37*r**2 + 76*r - 35. Calculate the remainder when 134 is divided by m(-39).
5
Let x(a) = 7*a**2 - 5*a + 2. Let j be x(3). Suppose -j = -9*n + 31. Calculate the remainder when 87 is divided by n.
6
Suppose -4*c - 2 = -14. Calculate the remainder when 36 is divided by 2/(-1) + (19 - c).
8
Let g = 1459 - 1398. Calculate the remainder when 1522 is divided by g.
58
Let v(g) = 8*g - 1. Let t = -1665 + 1678. What is the remainder when t is divided by v(1)?
6
Let k(u) = -37*u**2 + u + 94. What is the remainder when k(0) is divided by 11?
6
Suppose 165 = 3*b + 3*l, 7*l - 164 = -3*b + 3*l. Suppose -v + b = 3*v. What is the remainder when 39 is divided by v?
11
Suppose 8*o = 4*o - 20. What is the remainder when 16 is divided by (-2 - o)/(-9) + 301/21?
2
Let s = 21 + -20. What is the remainder when 83 is divided by s + 12 - (0 - 1)?
13
Let b(q) = 18*q**2 - q + 1. Let o be b(1). Suppose -o*a = -16*a - 68. Calculate the remainder when 63 is divided by a.
29
Suppose 0 = -112*x + 96*x + 1344. Calculate the remainder when 406 is divided by x.
70
Let u(g) = g**2 + 2. Let k be u(0). Suppose 4 = 2*l, 0 = k*t + t - 4*l - 73. Let s(q) = 12*q + 5. Calculate the remainder when s(4) is divided by t.
26
Let b(o) = o**2 - 6*o - 3. Let m be b(6). Calculate the remainder when (-261)/m + -1 + 0 is divided by 22.
20
Suppose 0 = -15*k - 37*k + 120068. Calculate the remainder when k is divided by 11.
10
Let y = 119 - 21. What is the remainder when y is divided by (-3 - -1)/((-15)/150) + 0?
18
Suppose -3*y - 3 = -5*v + 2, -5*v + 4*y + 5 = 0. Calculate the remainder when 7 is divided by ((-14)/(-8) - (-1)/4)/v.
1
Suppose 39 = q + 2*s, -2*q = -16*s + 17*s - 90. What is the remainder when q is divided by 8?
7
Let c = 286 - 259. What is the remainder when c is divided by 6?
3
Suppose -2*b - 8 = -0*b. Let p be 4/1 - b/(-4). Suppose -4*k + 8 = 0, -2*k + 46 = 2*i + p*k. Calculate the remainder when 51 is divided by i.
15
Let b be 0 + (-2)/5 + (-1148)/(-70). Suppose -26*o + 27*o = b. Calculate the remainder when o is divided by 3.
1
Let b(t) = t**3 - 16*t**2 + 25. What is the remainder when 64 is divided by b(16)?
14
Let d be 6*(200/12 - 3). Suppose 0 = 2*z - 3*o - 150, -4*z - 4*o = -178 - d. Calculate the remainder when z is divided by 18.
15
Suppose -7*a + 25 + 10 = 0. What is the remainder when 96 is divided by a?
1
Let y be -7 + (3 - (-4 - -6)). Let o = y + 10. Calculate the remainder when 17 is divided by 20/6 - o/(-6).
1
Let i = 687 + -671. Let x be -102 + 1 - 5/(-5). Let v = 147 + x. Calculate the remainder when v is divided by i.
15
Let j(l) = -7 - 2 - 6*l + 11 - 22. What is the remainder when 136 is divided by j(-11)?
44
Suppose -13*f + 4*f = -198. Suppose 20*c = f*c - 106. Let n = 7 + 7. What is the remainder when c is divided by n?
11
Calculate the remainder when 392 is divided by ((-2)/3)/((-90)/5940).
40
Let v(a) = -173*a + 602. What is the remainder when 264 is divided by v(3)?
15
Let v = 268 - 261. What is the remainder when 11 is divided by v?
4
Suppose 0 = -5*d + 68 + 67. Let x(h) = h**3 - 6*h**2 + 6*h + 5. Suppose 0*n + 5 = n. Calculate the remainder when d is divided by x(n).
7
Suppose -9*k = -8*k - w - 43, -4*w = 3*k - 94. Calculate the remainder when k is divided by 24.
14
What is the remainder when (-1 - 0)/(-4*17/22644) is divided by 36?
9
Let g(t) = t**2 - 9*t - 7. Let r be g(10). Suppose 4*b + 2*y - 24 = 0, b - 6 = -r*y + 5. What is the remainder when b is divided by 1?
0
Suppose 31*d = 44*d - 156. What is the remainder when 127 is divided by d?
7
Let l(q) = 31*q - 167. Calculate the remainder when 132 is divided by l(6).
18
Let t = -5 + 10. Suppose t*a - 19 = 41. What is the remainder when 33 is divided by a?
9
Let k = 8 + -11. Let s(d) = 0 + d**2 - 2*d - 1 + 0*d**2 + 4*d. Calculate the remainder when s(k) is divided by 1.
0
Let q = -173 - -216. Suppose -10 = -4*o + h + h, -2*o + 5*h = -17. Calculate the remainder when q is divided by 22/o - (-4)/4.
20
Let u = -1156 + 1180. What is the remainder when 36 is divided by u?
12
Suppose j - 188 = -4*s, -5*j - 2*s + s = -1016. Suppose -j = -7*i + 27. What is the remainder when i is divided by 9?
6
Let o(i) = i**2 - 4*i + 2. Let c be o(3). What is the remainder when 53 is divided by c/6 + 1870/132?
11
Let j = 580 - 567. What is the remainder when 107 is divided by j?
3
Let b be ((-3)/2)/(2/(-4)). Suppose 3*m = 4*r + 11, b = 5*r - 2. Suppose -m*s - 25 = 0, -3*q + 77 + 0 = 2*s. What is the remainder w