. Let s = 8 + w. Calculate the remainder when c(s) is divided by 16.
14
Let a(o) = o + 15. Let k(r) = r + 5. Let b be k(-15). Calculate the remainder when 18 is divided by a(b).
3
Suppose 4*n - 31 = -5*l, -2*l + 4*l + n = 13. Suppose 0 = -l*a + 195 - 41. What is the remainder when a is divided by 2/1 + 16/4?
4
Let v(c) = -c**2 - 6*c + 12. Calculate the remainder when 83 is divided by v(-6).
11
Suppose -2*c = -4*c - 2*m - 2, 2*c - 2*m - 14 = 0. Suppose -c*w = 7 - 25. What is the remainder when w is divided by (1 + -2)*(-4 + 2)?
0
Let j(b) = -7*b**2 + 5*b + 81. Let w(v) = 3*v**2 - 2*v - 40. Let x(p) = -4*j(p) - 10*w(p). What is the remainder when x(0) is divided by 11?
10
Suppose -g = -u + 23 + 15, 0 = -2*u - 2*g + 96. Calculate the remainder when u is divided by 21.
1
Let z = -239 + 241. Suppose 0*g - 169 = -5*c - 4*g, -3*c + z*g + 119 = 0. Suppose -3*k = -18 - 6. What is the remainder when c is divided by k?
5
Let v(s) = 4*s - 12. Let b be v(5). Suppose -80 = 3*o - b*o. Suppose 0 = 2*q - 2*z - o, 2*z + 8 = q + 5*z. Calculate the remainder when 21 is divided by q.
5
Suppose -250*v + 215*v = -1715. Calculate the remainder when 77 is divided by v.
28
Suppose 0 = 5*m + 7 - 32. Suppose m*s + 70 - 745 = 0. What is the remainder when s is divided by 17?
16
Let q = -58 - -86. Let m(w) = -w**2 - w + 5. Let u be m(0). Suppose -9*s + 40 = -u*s. What is the remainder when q is divided by s?
8
Suppose 0 = -6*f + 134 - 50. Suppose -f*x - 48 = -18*x. Calculate the remainder when 34 is divided by x.
10
Suppose -3*k + 5*r + 92 = 0, -2*k = -0*r + r - 44. Let q = 135 + -65. What is the remainder when q is divided by k?
22
Suppose -7*k = -22*k + 570. Suppose -6*n + 144 = -2*n. Suppose 2*s - 5*o = k, -o - n = 5*s - 104. Calculate the remainder when 54 is divided by s.
12
What is the remainder when (-100)/(-125) + 991/5 is divided by 34?
29
Let f(x) = x**2 + 8*x - 7. Calculate the remainder when f(14) is divided by 19.
16
Let h(v) = 8*v - 84. Let i(d) = 8*d - 83. Let p(l) = -4*h(l) + 3*i(l). What is the remainder when p(0) is divided by 46?
41
Let d(f) = 3*f + 14. Let t be (-9)/15 - 36/15. Calculate the remainder when 20 is divided by d(t).
0
Let p = 5 + -2. Suppose -4 = p*a - 2*s, 2*s + s - 15 = 0. Suppose -a*w - 3 = -5*q, w - 4*q + 75 = 6*w. Calculate the remainder when w is divided by 4.
3
Let w(l) = l**3 - 21*l**2 - 40*l - 54. Calculate the remainder when 246 is divided by w(23).
78
Let k be (-18)/30 + 39/15. Suppose 3*t + 6 = 0, 2*r + 0*r - k*t = 326. Let s = r - 115. Calculate the remainder when s is divided by 12.
10
Suppose -3*d + 176 = -73. Let b = 76 - 64. Calculate the remainder when d is divided by b.
11
Suppose b = 2*b - 40. Let n be (-1 + -3)*177/(-12). Let y = n + -45. Calculate the remainder when b is divided by y.
12
Let m(n) = n**3 + 4*n**2 + n + 19. What is the remainder when m(0) is divided by 9?
1
Let t be 1 - (2 - 1) - -14. Let r = t - 1. Let f(d) = d**3 - 13*d**2 + 3*d - 4. What is the remainder when f(r) is divided by 12?
11
Suppose 0*d - 8 = -4*d. Suppose d*r + 64 = 6*r. Calculate the remainder when ((-91)/546)/((-2)/552) is divided by r.
14
Suppose 5*o + 0 - 15 = 0. Suppose 3*b - 7*n + 2*n - 79 = 0, 2*b + o*n - 40 = 0. What is the remainder when b is divided by ((-1)/(-4))/(35/1680)?
11
Let h be (4 + -1)/((-15)/(-350)). Suppose 4*s = 4*v - v + 93, h = 3*s - 2*v. Suppose 5*a - 94 + s = 0. Calculate the remainder when a is divided by 4.
2
Let z(t) = t**2 + t + 86. Suppose 4*h - 7*u = -4*u + 213, -176 = -3*h - u. Let n = -27 + h. Calculate the remainder when z(0) is divided by n.
26
Let z = 12 + -7. Let r(d) = -d**3 + 7*d**2 - 6*d + 5. Calculate the remainder when r(z) is divided by 13.
12
Suppose 0 = -3*t - a + 513, -5*t + a = -2*a - 841. Suppose -15*j + 20*j - t = 0. What is the remainder when 66 is divided by (10 - 9)/(2/j)?
15
Let j(q) = q - 8. Let p be j(11). Let d be 1*(-110)/(-6)*p. Suppose 4*u - d = -u. What is the remainder when 74 is divided by u?
8
Suppose -f = 4*f - 55. Let a = 19 - 10. Calculate the remainder when 1 + -2 - (a - 42) is divided by f.
10
Suppose 4*y - 74 = -2*n, -8*n + 146 = -3*n - 3*y. Suppose -g = -5*v + n, 2*v - g + 4 = 14. What is the remainder when v is divided by ((-2 - -7)/1)/1?
2
Let h(y) = 29*y - 16*y + 5 - 12*y + 1. Let o be h(-13). Let p(t) = t**2 + 4*t + 4. Calculate the remainder when 73 is divided by p(o).
23
Suppose 48*z + 64020 = 78*z. Calculate the remainder when z is divided by 12.
10
Let i = -227 + 263. What is the remainder when 104 is divided by i?
32
Let c be 53 + 1 + (-4 - -9) + -4. Let j = c - 42. What is the remainder when j is divided by 3?
1
Let v(i) = -14*i - 100. What is the remainder when v(-49) is divided by 33?
25
Suppose 13 = -3*y + 31. Let t(c) = 3*c**2 + 4*c - 1. Let d be t(3). Let o = -23 + d. What is the remainder when o is divided by y?
3
Let s(v) = -7*v**2 + 9*v - 8. Let x = -27 + 21. Let g(d) = -20*d**2 + 27*d - 23. Let q(a) = x*g(a) + 17*s(a). What is the remainder when q(12) is divided by 21?
17
Suppose y = -0*y + 5*h + 49, 4*y + 4*h - 172 = 0. Let s = 90 + -78. Calculate the remainder when y is divided by s.
8
Let i = -35 - -88. Suppose i = w - 3. Calculate the remainder when w is divided by 20.
16
Suppose 12*u = 14*u - 2. Let r = 9 + u. Suppose 2 = -2*a, -7*v + 2*v = a - 189. What is the remainder when v is divided by r?
8
Let z be (-4)/1 + 4 - -4. Suppose -95 = -z*r + 5. Calculate the remainder when 99 is divided by r.
24
Let h = 144 - 123. Let j(d) be the first derivative of 2*d**2 + 6*d - 2. What is the remainder when j(8) is divided by h?
17
What is the remainder when 49680/75 - (-4)/(-10) is divided by 19?
16
What is the remainder when 5/((-1)/(-208)*10) is divided by 27?
23
Let r(x) = 18*x + 28. Let i = 25 + -106. Calculate the remainder when (2 - 1) + i/(-1) is divided by r(0).
26
Suppose 3*p = 3*v + 402, -31 = v - 32. What is the remainder when p is divided by 60?
15
Let i be ((-9)/(-6) - 2)*-8. Let r = 2 + -1. What is the remainder when 6 is divided by (-2)/(-5)*(r + i)?
0
Let z be 0*((-2)/(-2))/(-2). Suppose v + 0*v - 6 = z. Let q = -26 + 36. Calculate the remainder when q is divided by v.
4
Let h = -736 + 780. Calculate the remainder when 214 is divided by h.
38
Let g(w) = -2*w + 1. Let a = -68 - -72. Suppose r + a = 17. Calculate the remainder when r is divided by g(-2).
3
Let r = 940 - 872. What is the remainder when r is divided by 48?
20
Let o be ((-2)/(-12)*3)/((-1)/(-36)). What is the remainder when 10 is divided by (-2)/4 - (-63)/o?
1
Let q = -29 - -51. Suppose 6*l - 2*l - 252 = 0. Calculate the remainder when l is divided by q.
19
Let q(y) = 2*y - 12. Let f be q(6). Suppose f = 2*a - 6 - 30. Calculate the remainder when 50 is divided by a.
14
Suppose -3*u + v + 2*v - 30 = 0, 2*u - v = -22. Let a = -43 - -29. Let m = u - a. Calculate the remainder when m is divided by 1.
0
Let o(v) = -v**3 + 16*v**2 - 28*v + 27. What is the remainder when o(13) is divided by 88?
82
Suppose 0 = -24*h + 20*h + 288. Suppose v + 3*w - h = -22, -w - 148 = -4*v. Calculate the remainder when v is divided by 3.
2
Calculate the remainder when ((-5)/30*9)/((-2)/120) is divided by 47.
43
Suppose 0 = 7*p - 2*p + 5*k - 20, -4*p + 4*k = -32. Let j(x) = 4*x - 4. Calculate the remainder when ((-154)/(-3))/(4/6) is divided by j(p).
17
Let f(c) be the first derivative of -2 - 1/3*c**3 + 5*c**2 - 5*c. Calculate the remainder when f(6) is divided by 10.
9
Let x = 1 + 11. Let k be -9 + x + (1019 - -1). What is the remainder when (-4)/6 + k/9 is divided by 29?
26
Let k(v) = -v**3 - 10*v**2 + 21*v - 16. Calculate the remainder when 33 is divided by k(-12).
13
Suppose 2*p - 3*t = 85 + 245, -p = 5*t - 178. Calculate the remainder when p is divided by 34.
32
Let v(s) = -s**2 - 49*s - 44. Suppose 2*a + 38 = 2*n, -a + 0*a = 4*n - 51. What is the remainder when n is divided by v(-48)?
2
Suppose 14 = -0*l + l + p, 0 = 4*l + 2*p - 62. Calculate the remainder when 38 is divided by l.
4
Let u(z) = -5*z + 8. Let r be u(-4). Let j = r - 32. What is the remainder when ((-150)/4)/(2/j) is divided by 19?
18
Let c = -35 + 43. What is the remainder when (-2 - -6) + 2*13 is divided by c?
6
Suppose 10*u - 5 - 145 = 0. Calculate the remainder when 129 is divided by u.
9
Suppose -5*k = -2*k - 420. What is the 