5*c + 5*t + 81, 69 = 5*c + 3*t. Suppose 0 = 11*u - c*u. Let x(b) = b**3 + 2. Calculate the remainder when x(u) is divided by 1.
0
Let k = 4072 + -4057. Let l = -81 + 121. Calculate the remainder when l is divided by k.
10
Suppose -19 = -3*t - 10. Suppose -i + 44 = t*h, h - 5*h + 3*i = -50. Calculate the remainder when h is divided by 2.
0
Let v(o) = -o**2 - 4*o + 42. What is the remainder when 713 is divided by v(-7)?
20
Let h(b) = 3*b**2 + 11*b - 25. Calculate the remainder when 99 is divided by h(3).
29
Let u(s) = -2*s**3 - s**2 + 2*s - 1. Let c(b) = 12*b - 20. Let k be c(6). What is the remainder when u(-3) is divided by (k/(-4))/(0 + -1)?
12
Let l(t) = 3*t + 5. Let r(q) = -50*q - 85. Let g(a) = -35*l(a) - 2*r(a). What is the remainder when 88 is divided by g(-4)?
13
Suppose -3*j + 49 = 1. What is the remainder when (196/8)/(-7)*-6 is divided by j*2/(-12)*-3?
5
Suppose 316 - 26 = 5*k. Let x = 6 - 3. Suppose w = -4*j + k, -2*j + 6*w + 36 = x*w. Calculate the remainder when 42 is divided by j.
12
Let g = 1490 + -1349. What is the remainder when g is divided by 69?
3
Let i(v) = -2*v**3 + 13*v**2 - 4*v + 6. Let l be i(9). What is the remainder when l/(-6) + 9/6 is divided by ((-10)/(-6))/((-1)/(-15))?
24
Let c(b) be the first derivative of b**4/4 + 17*b**3/3 - b**2/2 - 23*b - 5. Let d be c(-17). Let z = 7 - d. What is the remainder when z is divided by 7?
6
Suppose -5*q + 95 + 95 = 0. Calculate the remainder when 63 is divided by q.
25
Let t(p) = -7*p**2 + 5*p - 5. Let y(q) = -13*q**2 + 9*q - 10. Let z(b) = 11*t(b) - 6*y(b). What is the remainder when 8 is divided by z(0)?
3
Let a = 71 + -56. Calculate the remainder when a is divided by 10.
5
Suppose -47 = -w - 2*x, 4*w - 2*x - 36 = 182. Suppose -99 = 4*d - d. Let c = d + 52. What is the remainder when w is divided by c?
15
Suppose 5*n - 3*h - 612 = 0, -5*h = -10*h + 5. Calculate the remainder when n is divided by 18.
15
Let p(k) = -k**2 + 11*k + 12. Let j be p(12). Suppose 3*x = -j*x + 66. Calculate the remainder when 42 is divided by x.
20
Let n = -5 + 1. Suppose -78*w + 1141 - 33 = -1466. Calculate the remainder when w is divided by n/10*-6*5.
9
Suppose 2*l + 4 = 2*o, 2 = 2*o - 6*l + 3*l. Let p(k) be the second derivative of k**4/6 - k**3 + k**2 - 14*k. What is the remainder when p(4) is divided by o?
2
Let g = 925 - 912. Let x(c) = 8*c + 1. Calculate the remainder when x(3) is divided by g.
12
Let z be (-18)/21*(-1 + -6). Suppose -30 - 12 = -z*l. What is the remainder when 13 is divided by l?
6
Suppose -78 = 4*i - 6*i. Let w(l) = -l - 7. Let b be w(-5). What is the remainder when i is divided by (-2)/(0 - b/(-20))?
19
Let t be (-242)/(-4)*(189/7 - -7). Calculate the remainder when 87 is divided by t/68 - 2/8.
27
Let b(o) = o**2 + 32*o + 62. Let i be b(-30). Suppose -27 = -7*l + i*l - w, -5*l + 21 = 3*w. Calculate the remainder when 23 is divided by l.
5
Let t be (-2)/(-6) + (-5)/(10 + 5). Suppose 9*z + z - 1330 = t. Calculate the remainder when z is divided by 45.
43
Let s = 690 - 683. What is the remainder when 114 is divided by s?
2
Let l(f) = f**2 - 3*f + 1. Let m(j) = 31*j**2 + j. Let c be (6/4)/((-15)/(-10)). Calculate the remainder when m(c) is divided by l(5).
10
Let l = 27 - -33. Let q = l - 32. What is the remainder when q is divided by 6?
4
Suppose 0 = 4*u - 6*u. Let r be u*(-1)/(-4) + 3. Suppose 84 = 4*b - 5*o, r*o - 4*o + 4 = 0. Calculate the remainder when 51 is divided by b.
25
Let q(x) = -20*x + 4 - 14*x - 7 + 5*x. Calculate the remainder when q(-1) is divided by 7.
5
Suppose 3*h = -47 + 179. Suppose -31*f + h = -27*f. Let j(o) = -2*o**3 - o**2 + 4*o + 3. What is the remainder when f is divided by j(-2)?
4
What is the remainder when 406 is divided by 14/(25/(-3) - -9)?
7
Let n(s) be the second derivative of s**3/2 - 11*s**2/2 + 10*s. Let t be n(5). Calculate the remainder when 1*(0 - -76)/t is divided by 7.
5
Let x(s) = 4*s**3 + 5 + 16*s**2 + 0 - 10*s**3 + 4*s**3 - 5*s. Suppose -69 = -4*w + 23. What is the remainder when x(7) is divided by w?
22
Let m = -31 + 50. Let v = m + -24. What is the remainder when (-1 - 1)*v/2 is divided by 2?
1
Let k(b) = -4*b - 14. Let n be k(-4). Suppose -2*g + 144 = n*g. What is the remainder when 214 is divided by g?
34
Let u(g) = -29*g - 102. Calculate the remainder when u(-9) is divided by 55.
49
Suppose -40*o + 42*o - 154 = 0. Suppose i = 4*r - o, -3*r + 2*i = -4*r + 8. Calculate the remainder when r is divided by 5.
3
Let s = -358 + 501. Calculate the remainder when s is divided by 25.
18
Let p(c) = 2*c**3 + 16*c**2 - 9*c + 9. Calculate the remainder when p(-8) is divided by 37.
7
Let u be (-5)/5 + -2 + 231/3. Suppose u = 2*a + 2*w, -w - 46 = -4*a + 122. Calculate the remainder when a is divided by 11.
8
Let j(m) = -m**2 - m + 14. Let c(x) = 2*x**2 + 11*x + 15. What is the remainder when c(-8) is divided by j(0)?
13
Calculate the remainder when (-351)/(-6) + (-1)/(-6)*3 is divided by 27.
5
Suppose -10*h = -5*h. Suppose 0*g - 4*g + 384 = h. Calculate the remainder when g is divided by 25.
21
Let r be 73 - (-3 - 20/(-5)). Suppose -16 = -4*t + r. Calculate the remainder when 52 is divided by t.
8
Let p(d) = 16*d - 5. Let q be p(-7). Let a = q + 164. What is the remainder when a is divided by 16?
15
Suppose -12*b + 880 = -260. What is the remainder when b is divided by (-5 + -44)*(-2 + 1)?
46
Let i(r) = 3*r**2 - r - 19. Calculate the remainder when 460 is divided by i(-3).
9
Let c(f) = -10*f - 133. Calculate the remainder when 151 is divided by c(-21).
74
Let q(k) = k**2 - 4*k - 2. Let t be q(5). Suppose t*m + 2*m = 20. Suppose m*p - 2*p + 6 = 0, -p = 2*s - 33. Calculate the remainder when s is divided by 7.
4
Suppose -24*f + 15*f + 144 = 0. Calculate the remainder when 62 is divided by f.
14
Suppose -6*t + 7*t = 3. Suppose 5*r = t*v - 97, 0 = 5*v - 0*v + 2*r - 141. What is the remainder when v is divided by 8?
5
Let t(u) = -6*u + 4. Suppose 5*h + 5*a - 1 + 21 = 0, h + 6 = -3*a. Let f be t(h). Suppose f + 2 = d. Calculate the remainder when 69 is divided by d.
21
What is the remainder when (-1029 + -1)*17/(-85) is divided by 30?
26
Let u(t) = 3*t + 2. Let n be u(3). Suppose q - n = 12. Calculate the remainder when q is divided by 13.
10
What is the remainder when 1271 is divided by (-1264)/(-24) + -3*(-2)/18?
52
Let u(l) = -2*l**3 + 7*l**2 - 9. Let s be u(3). Suppose 4*p - 101 = 5*o, s = -4*p + 2*p - 3*o + 45. What is the remainder when p is divided by 13?
11
What is the remainder when 34 is divided by (-1)/(1*7/(-28))?
2
Let r be (-6)/(-2 - -4) - -1. Let f = 15 + -12. Calculate the remainder when r/3*15/(-2) is divided by f.
2
What is the remainder when 79 is divided by 2*14/(-4)*1496/(-154)?
11
Suppose 5*j + 307 = 4*y, 4*j + 47 + 105 = 2*y. Let l = 129 - y. What is the remainder when 203 is divided by l?
50
Suppose 5*u + 1284 = 4*l, l + 8*u = 5*u + 304. Calculate the remainder when l is divided by 53.
51
Suppose 7*q - 3*q + 3*t = 69, -3*t + 39 = 2*q. Let b = 19 + -13. Calculate the remainder when q is divided by b.
3
Let i be 3*(-2)/(-2)*1. Suppose -3 = 3*b, -l + 5*b + 59 = i*b. Calculate the remainder when l is divided by 6 + 0 + (-65 - -79).
17
Let a = 3433 + -3424. Let d(u) = -u**2 + 6*u + 3. Let j be d(-4). Let p = j - -63. Calculate the remainder when p is divided by a.
8
Let o = 46 - -26. Suppose -4*s - o = -8*s. Calculate the remainder when 53 is divided by s.
17
Suppose 3*j - 5*x = 62, 2*j + 9*x - 8*x = 63. Calculate the remainder when 109 is divided by j.
22
Suppose -4*u = -4*w - 44, -2*w - 5 = u - 7*w. Let f be 40/6*u/(-5). Calculate the remainder when f/50 + 74/10 is divided by 3.
1
Suppose 77*x - 79*x = -36. What is the remainder when 160 is divided by x?
16
Let y be -2 + 7/((-14)/(-12)). Suppose -4*q - y*h - h + 29 = 0, -2*h = -q - 9. Let z = 312 - 309. What is the remainder when z is divided by q?
0
Let a(s) = 3*s**3 - 49*s**2 - 30*s + 17. Calculate the remainder when 330 is divided by a(17).
75
Let q be (-8)/(-6)*75/10. Suppose 0 = -q*v + 9*v + 27. Calculate the remainder when 106 is divided by v.
25
Let q = -30 + 57. Let a = 53 + -47. What is the remainder when q is divided by a?
3
Suppose -3*u + 7 = 1. Suppose 4*d - u*a = -3*a + 123, -a - 37 = -d. Let n = -12 + d. Calculate the remainder when 39 is divided by n.
19
Let b 