ppose -4*b + 62 = 42. Let j(f) = -4*f**2 + 22*f + 2. Suppose -5*x = m - 47, 6*m = m - 4*x + 277. What is the remainder when m is divided by j(b)?
9
Let i be 2390/12 + 9/(-54). Let f = i - 15. Suppose 3*s + f = 5*v, 2*s + 3 = -3. Calculate the remainder when 137 is divided by v.
32
Let o = 153 + -147. Suppose -58 = -c + s, 3*c + 5*s = o*s + 180. Calculate the remainder when c is divided by 21.
19
Let c = -18 - -59. Let g = -110 + 175. Let a = g + -43. Calculate the remainder when c is divided by a.
19
Let x(l) = l + 22. Let z be x(-16). What is the remainder when 33 is divided by ((-65)/(-25) - 1)*45/z?
9
Let p = -2 - -4. Suppose -p*h + x = 3 - 49, 4*x = -3*h + 69. Suppose 3 = -2*g + h. What is the remainder when g is divided by 4?
2
Let o(m) = -m + 12. Suppose 3*v + 9 = -s, 0 = -s - 0*s - v + 1. Let y be o(s). Suppose 5*k - y*k = -94. Calculate the remainder when k is divided by 24.
22
Suppose 2*g = 30 + 2. Suppose -4*y + 3*o = -117, -5*o + 4 = -o. Calculate the remainder when y is divided by g.
14
Let w(o) = -3*o**2 + 63*o - 45. What is the remainder when 57 is divided by w(20)?
12
Suppose -201 - 423 = -z. Suppose -4*u + z = -4*n, -n + 177 = -5*u + 973. Suppose -4*a + u = a. What is the remainder when a is divided by 7?
4
Suppose -4*v + 3*v = -3*l - 3, 3*l - 15 = -5*v. Suppose -5 = 5*j, -3*j + 64 = 4*m + v. Suppose 3*x = 340 - 55. What is the remainder when x is divided by m?
15
Let q = -31 + 44. What is the remainder when 38 is divided by q?
12
Suppose -20 = -d + 10. Suppose -d = -5*c + 40. What is the remainder when 39 is divided by c?
11
Suppose -i = 5*l + 12, -4*i - 3*l + 37 = -0. What is the remainder when 8/(((-24)/(-54))/2) is divided by i?
10
Let c(b) = 2*b**2 - 11*b + 1. Let l(w) = -5*w - 2. Let a be l(-2). Calculate the remainder when c(a) is divided by 21.
20
Calculate the remainder when 773 is divided by 1*(-2 + 4)*(-774)/(-12).
128
Let h = -3 - -26. What is the remainder when 275 is divided by h?
22
Calculate the remainder when 73 is divided by (342/(-21))/((-15)/35).
35
Let d be (-965)/(-4) + (-18)/72. Let w = -135 + d. Suppose -3*m - 2*m + w = 2*b, 2*b - m - 118 = 0. What is the remainder when b is divided by 20?
18
Let r = -475 + 519. What is the remainder when 304 is divided by r?
40
Let p = 39 + -30. Suppose 5*o - 3*a - 7 = 0, 0 = -3*o - 4*a - 1 - 18. Calculate the remainder when o/4 - (-564)/16 is divided by p.
8
Let m = 14 - -28. Let i = 182 - 108. Let y = i - m. Calculate the remainder when y is divided by 18.
14
Let b(t) = -t**2 - 22*t + 38. What is the remainder when b(-14) is divided by 71?
8
Suppose 26*g - 792 = 534. Calculate the remainder when g is divided by 18.
15
Let g = -29 - -33. Suppose 5*f = g*f + 5. Let o(y) = 2*y**2 - 6*y - 4. What is the remainder when 60 is divided by o(f)?
12
Suppose -21*m - 27*m = -1344. Calculate the remainder when 71 is divided by m.
15
Let c(t) = 2*t**2 - 53*t + 42. Suppose 0 = -r + 3*z + 48, 3*r - 231 = -r - z. Calculate the remainder when r is divided by c(26).
9
Let j(p) = 11*p + 10*p**2 - 14*p**2 + 3*p**2. Calculate the remainder when j(2) is divided by 3.
0
Let l(p) = 4*p + 38. Suppose 0 = 3*q + 5*a - 3 - 1, 4*q = -5*a + 12. What is the remainder when l(0) is divided by q?
6
Let r(p) = 106*p - 581. Suppose -2*a - 2*t + 13 + 23 = 0, a - 5*t + 6 = 0. What is the remainder when r(6) is divided by a?
13
Let c = 107 - 174. Let k = 76 + c. Calculate the remainder when 44 is divided by k.
8
Let i(r) = 3*r**2 - 1. What is the remainder when i(1) is divided by 1?
0
Let j(r) = -2*r**3 + r**2 + 2*r + 2. Let d(k) = k - 2. Let s = -8 - -8. Let g be d(s). Calculate the remainder when j(g) is divided by 5.
3
Let s(f) = -f**2 + 34*f + 8. Calculate the remainder when s(34) is divided by 2.
0
Let k(n) = n**3 + 3*n**2 + 7*n - 12. Calculate the remainder when k(5) is divided by 47.
35
What is the remainder when 8 + 0 + 113 + -3 is divided by 2/((12/75)/2)?
18
Suppose 0 = 2*g + 6*u - 10*u, 0 = 5*u - 30. Let s(b) = 19*b**2 - b. What is the remainder when s(-1) is divided by g?
8
Let p be 2 - (-11)/((-55)/(-3270)). Calculate the remainder when 4/14 - p/(-7) is divided by 32.
30
Let h = 243 + -211. Calculate the remainder when h is divided by 12.
8
Let p(o) = -3*o**2 + 17*o - 4. Let s(a) = a**2 - a + 1. Let t(j) = p(j) + 6*s(j). What is the remainder when 173 is divided by t(-6)?
41
Let n be (0 - -2)*(-3 - -4). Let b(s) = -s + 1. What is the remainder when ((-4)/n)/1 + 67 is divided by b(-16)?
14
Suppose 3*k + 192 = 6*k - 3*p, p - 1 = 0. What is the remainder when k is divided by 10?
5
Let c(a) = -3*a**3 - 4*a**2 + 4*a + 6. Let r be c(-3). Suppose q - 2*g - r = -0*q, 5*g = -3*q + 139. Calculate the remainder when q is divided by 23.
20
Suppose 5*b = -5*h - 125, -5*b + 2*h - 97 = -7. Let d = 79 - 80. What is the remainder when 1/(4*d/b) is divided by 4?
1
Let z be 6/15*5 - -2. Suppose -t + 7 = -3*f, -6*t + 92 = -t + z*f. Suppose 0 = 4*n - 216 - 32. What is the remainder when n is divided by t?
14
Suppose 26*m - 22*m - 12 = 0. Suppose -m*w - 8 = -62. What is the remainder when 18 is divided by (-2 - w)*(-5)/10?
8
Let j(f) = -7*f - 67. Calculate the remainder when 38 is divided by j(-11).
8
Let r(b) = -2*b**2 - 18*b - 9. Calculate the remainder when 226 is divided by r(-7).
17
Let y(t) = -3*t - 18. Let z be 56/(-4) - (1 + 0). Calculate the remainder when y(z) is divided by -2 + 0 - 0 - -9.
6
Let v = -550 + 570. What is the remainder when v is divided by 6?
2
Let c(g) = 344*g - 749. What is the remainder when c(3) is divided by 36?
31
Let h(t) = 2*t**2 - 9*t + 10. Calculate the remainder when 10 is divided by h(4).
4
Suppose 90 = -6*l + 9*l. Suppose 5*o = -5*v + 15, -o - o = -4*v + l. Let p = 19 - 9. Calculate the remainder when p is divided by v.
4
Let v(i) = 4*i**2 - 3*i - 7. Let c = 149 + -133. What is the remainder when v(4) is divided by c?
13
Suppose -7*y = 37 - 324. Let p(x) = 3*x**2 - 4*x + 3. Calculate the remainder when y is divided by p(3).
5
Suppose 5*a + 5*a + 630 = 0. Let n = -23 - a. What is the remainder when 74 is divided by n?
34
Let i(h) = -23*h**3 - 1. Let u be i(-1). Suppose t - d - 5 = -3, 2*t = -4*d + u. What is the remainder when -3*t/(-2)*14 is divided by 27?
24
Suppose b = 2*s - 67, -5*s + 160 + 11 = b. Calculate the remainder when s is divided by (-1 + 0)/((-2)/18).
7
Let x = 181 - 152. What is the remainder when 102 is divided by x?
15
Suppose -2130 = -237*a + 227*a. What is the remainder when a is divided by 73?
67
Let f(r) = 18*r**3 - r**2 + r - 1. Let d = -7641 + 7681. What is the remainder when d is divided by f(1)?
6
Let k(p) = 3*p - 1. Let v be k(2). Suppose -24 = -3*t + 3*f + 144, 0 = -3*t - v*f + 128. Calculate the remainder when t is divided by 6256/345 - 4/30.
15
Suppose 0 = -2*k + 119 + 15. Suppose 0 = 5*t + v - 79, -k = -4*t + 5*v - 2*v. What is the remainder when 95 is divided by t?
15
Suppose 0 = 5*n + f - 50, -4*n = -4*f - f - 69. Let c(s) = -s**2 + 11*s + 43. What is the remainder when c(n) is divided by 10?
3
Suppose u - 1 + 2 = 0, 62 = -2*w + 4*u. Let c = -20 - w. Calculate the remainder when c is divided by 7.
6
Suppose -4*p = -5634 + 5622. Calculate the remainder when 131 is divided by p.
2
Suppose -210 = -4*q - q. Suppose o + 4*u - 4 = 9, 0 = -3*u + 3. Calculate the remainder when 33/2 - 21/q is divided by o.
7
Let c(f) = -2*f + 31. Let g be c(14). Suppose 2 = l - 3*n, -n - n = -g*l + 34. What is the remainder when 25 is divided by l?
11
Suppose 0 = 6*j - 9*j - 12*j. Suppose -4*l = -j*u + u - 947, -1175 = -5*l - 3*u. Calculate the remainder when l is divided by 16.
14
Let j = 5 - -11. Let y = 131 - 85. What is the remainder when y is divided by j?
14
Let g be 63/(-6)*(2 + -4). Let d = -6 + g. Let l = -1799 - -1807. What is the remainder when d is divided by l?
7
Let m = 63 + -21. Calculate the remainder when m is divided by 9.
6
Suppose 38*g - 2132 = -14*g. What is the remainder when 326 is divided by g?
39
Let u(o) be the first derivative of o**4/4 + 5*o**3/3 - 11*o**2/2 - 9*o - 10. What is the remainder when 33 is divided by u(-6)?
12
Suppose 597 = 7*g + 212. Let t = g - 36. Calculate the remainder when t is divided by 5.
4
Suppose -2*s + 4*g + 14 = 0, 3*s - 8*s + 3*g + 42 = 0. What is the remainder when 47 is divided by s?
2
Suppose -289 = 3*g - 517.