= 3*m - 1 - 5. Suppose m*f - 36 = -2*f. Suppose 118*u - 74*u - 1056 = 0. Calculate the remainder when u is divided by f.
6
Let h(b) = -b**3 + 12*b**2 - 7*b - 7. Let f be h(9). Suppose f = 2*s - 37. Calculate the remainder when s is divided by 27.
24
Let m(o) = o - 1. Let n be m(5). Suppose -n*b + 40 = 5*s, 5*b - 33 = -0*s - 2*s. Calculate the remainder when 11 is divided by s.
3
Suppose -3*d + 4*i = -87, 2*d - i - 38 = 25. What is the remainder when 49 is divided by d?
16
Suppose -b - 3*r + 21 - 15 = 0, r = 5*b - 78. What is the remainder when 686 is divided by b?
11
Let k = 15 + 12. Let f(h) = h - 11. Let y be f(13). Suppose w - 5*b = 115, -y*w = -4*b - 100 - 118. Calculate the remainder when w is divided by k.
24
Suppose -2*s = -s - 11. Let q = 29 - s. Suppose 99 = r + 2*r. Calculate the remainder when r is divided by q.
15
Let t(k) = 26*k + 8*k + 8 - 8. Calculate the remainder when t(2) is divided by 18.
14
Calculate the remainder when ((-2)/6)/(60/(-10080)) is divided by 32.
24
Suppose 315 = -2*n + 11. Suppose 4*f - 266 = 3*v, v + 434 = -4*v + 2*f. Let w = v - n. What is the remainder when w is divided by 17?
15
Let t = 53 - -25. What is the remainder when t is divided by 27?
24
Let y be 57/(-15) + 4/5. Let o(s) = -30*s + 4. Let m(v) = 30*v - 4. Let t(u) = y*o(u) - 4*m(u). What is the remainder when t(-2) is divided by 13?
12
Suppose 0 = 2*h + 10 - 14, -k + 747 = -5*h. Calculate the remainder when k is divided by 38.
35
Let t = -727 + 730. Suppose -d - 4*v - 1 = 0, 12 = d + 2*d - 3*v. What is the remainder when d is divided by t?
0
Let q(n) = n**2 - 6*n + 8. Calculate the remainder when q(7) is divided by -4*2/80 + (-51)/(-10).
0
Let u(v) = -v**3 - 9*v**2 - 8*v + 8. Let z be u(-8). Let c = z - 8. Suppose -5*s + 47 + 83 = c. Calculate the remainder when s is divided by 7.
5
Let c(g) = -24 - 4 + 5*g + 2. Calculate the remainder when c(10) is divided by 9.
6
Let c = 9 - -7. Let j(k) = -k**3 - 5*k**2 - 13*k - 4. What is the remainder when j(-5) is divided by c?
13
Suppose -3*u = -6 - 87. Let z = -30 + u. What is the remainder when 8 is divided by 0 + z/((-4)/(-12))?
2
Suppose 0 = -w - 4*v, -18*w - 2*v = -19*w + 30. Calculate the remainder when 58 is divided by w.
18
Let u(v) = -v**3 - 9*v**2 - 5*v + 10. Let m be u(-7). Let g = -23 - m. Calculate the remainder when 58 is divided by g.
28
Let l(g) = -g**2 + 25*g - 27. Calculate the remainder when l(8) is divided by 40.
29
What is the remainder when 909 is divided by ((-6)/(-15))/(22/1045)?
16
Let h(i) = -134*i - 518. What is the remainder when 1754/14 + (-4)/14 is divided by h(-4)?
17
Suppose -4*m - 3*c = -39, c + 74 = 5*m + 11. Suppose -q = -m - 16. Suppose -d + 88 = -23. What is the remainder when d is divided by q?
27
Suppose -3*m = -3*u - 27 + 150, -2 = m. Let p = u - -1. What is the remainder when 115 is divided by p?
35
Let p = -590 + 645. Calculate the remainder when p is divided by 35.
20
Let c(s) = 2*s**2 - 60*s + 20. What is the remainder when c(30) is divided by (-1 - -3)/(2/11)?
9
Suppose k - w - 264 = -72, 0 = -4*k + w + 777. Suppose 4*n = 0, 5*l + 2*n + 0*n = k. What is the remainder when l is divided by 10?
9
Let k(u) = 34*u**2 + 5*u - 2. What is the remainder when (-447)/(-6) + (-2)/4 is divided by k(-1)?
20
Let i = -447 - -1669. Calculate the remainder when i is divided by 24.
22
Let d(r) = -20*r - 101. Let c(v) = -7*v - 34. Let x(u) = 8*c(u) - 3*d(u). What is the remainder when x(8) is divided by 18?
9
Let x = 26 - 21. Suppose -30 = -x*p - 5. Calculate the remainder when p is divided by 2.
1
Let t = 326 + -40. Calculate the remainder when t is divided by 36.
34
Let o(p) = 8*p - 14. Suppose 2*c + 2 = 12, 0 = -5*x + 5*c + 360. What is the remainder when x is divided by o(5)?
25
Let n be -10*(5/(-10) + -1). Suppose -3*l + n = -2*l. What is the remainder when l is divided by 11?
4
Let f = 162 - 96. Suppose -174 = -5*u + c - 2*c, -5*u - 5*c + 170 = 0. Calculate the remainder when f is divided by u.
31
Let i(b) = 10*b - 9. Let u be i(4). Let n = 54 - u. Calculate the remainder when n is divided by 12.
11
Let g = -2673 - -3205. What is the remainder when g is divided by 89?
87
Let t = -4 - -16. Let q = t - 7. Let w = q - -39. Calculate the remainder when w is divided by 15.
14
Suppose 5*d - 2*g + g = 28, -4*d = g - 26. Suppose 0 = 5*x, -2*l - 462 = -5*x + 2*x. What is the remainder when (-3)/d - l/6 is divided by 10?
8
Suppose 229 = 28*l - 23. What is the remainder when l is divided by (-1)/(-1) - (-12)/2?
2
Let w(p) be the third derivative of p**4/6 - p**3/3 - 6*p**2. Let j = 19 - 2. Calculate the remainder when j is divided by w(3).
7
Suppose 4*n - 39 = -0*u + u, 0 = -3*n - 5*u + 58. Let t = 11 - 11. Suppose m - 24 = -t*h - h, 0 = -3*m + h + 92. What is the remainder when m is divided by n?
7
Let y = 18 - 1. Let i be ((-15)/(-10))/((-2)/(-4)). Let f = 9 - i. What is the remainder when y is divided by f?
5
Let o be (-384)/27 - (2/9)/(-1). Calculate the remainder when 53 is divided by (-188)/o + (-4)/(-7).
11
Suppose -s = s - 6, -2*s = 4*u + 46. Let q(c) be the second derivative of -c**3/3 - 6*c**2 - 2*c. What is the remainder when q(u) is divided by 5?
4
Suppose 4*q - 129 = -f, -165 = -5*q - 6*f + f. Calculate the remainder when 127 is divided by q.
31
Suppose 0 = -t - 15 - 32. Let g = 79 + t. Suppose 0 = 3*n - n - g. What is the remainder when 29 is divided by n?
13
Suppose -6*a + a + 220 = 0. Suppose -4*n + 37 = 3*p, 0*n = -2*p + 3*n + 36. What is the remainder when a is divided by p?
14
Let j = -1 - -5. Suppose j*t + 1400 = 14*t. Calculate the remainder when t is divided by 47.
46
Let d be (-11 + 8)*(-2)/3. Suppose -14 - 12 = -d*y. Calculate the remainder when y is divided by 5.
3
Let s = -1575 - -1586. Calculate the remainder when 113 is divided by s.
3
Let u = 4 - 9. Let l(g) = g**3 + 9*g**2 - 4*g - 13. What is the remainder when l(-9) is divided by (-39)/u - (-1)/5?
7
Let t(z) = 6*z**2 + 3*z - 2. Let l be t(2). Suppose -5*w = -l - 72. Let c(p) = 9*p**2 + p + 4. Calculate the remainder when c(-2) is divided by w.
18
Suppose 5*j = 5*u + 180, -2*j + u = -49 - 26. Calculate the remainder when j is divided by 22.
17
Let p(h) = -2*h + 16. Let n be p(-6). Suppose -21*k + 22*k = n. What is the remainder when k is divided by 6?
4
Suppose -46*c + 1032 = -34*c. What is the remainder when c is divided by 17?
1
Let y be (215/5)/(2/(-12)*-2). Suppose 10*r - y = 31. What is the remainder when 45 is divided by r?
13
Suppose -10*i + 17*i - 105 = 0. What is the remainder when 9*(6 + 6/(-2)) is divided by i?
12
Let l(q) = 5*q + 2. Let r be l(-5). Let w = r + 30. What is the remainder when 18 is divided by w?
4
Suppose 78 = -5*h + 18. Let q = h - -28. What is the remainder when 29 is divided by q?
13
Suppose 4*f = -12, n + 9 = -3*f - 6. What is the remainder when 48 is divided by (292/n)/(-2) - 4/(-6)?
23
Suppose 5*d - 1 = -2*o, 3 + 18 = 2*o + d. What is the remainder when 306 is divided by o?
7
Suppose 0 = 3745*y - 3746*y + 158. What is the remainder when 326 is divided by y?
10
Let q(a) = a - 2. Let m = -61 - -74. Calculate the remainder when 62 is divided by q(m).
7
Suppose -444 = 2*w - 14*w. Suppose -w*p + 42*p - 125 = 0. What is the remainder when 124 is divided by p?
24
Suppose 539*l - 550*l + 473 = 0. What is the remainder when 257 is divided by l?
42
Let m(g) = -2*g + 38. What is the remainder when m(-12) is divided by 33?
29
Suppose 8*d = 5*h + 7*d - 30, 5*h - 55 = -4*d. Calculate the remainder when 110 is divided by h.
5
Let t = 3 + 2. Suppose 5*u = -4*g + 191, -193 = -0*u - t*u - 2*g. Calculate the remainder when ((-78)/(-390))/((-1)/5) + 152/2 is divided by u.
36
Suppose 18*s - 352 = -82. Calculate the remainder when 23 is divided by s.
8
Let p(s) = 2*s**3 - 3*s**2 - 3*s + 3. Let u = -1 + 19. Let w = u - 12. What is the remainder when p(3) is divided by w?
3
Let d be ((-7)/5 - -1)*(0 - 10). Suppose 5*g + 15 = 0, -1 = d*c + 5*g - 26. Calculate the remainder when c is divided by 8.
2
Suppose 6*z - 37 - 287 = 0. Calculate the remainder when 169 is divided by z.
7
Let c(l) = 1. Let w(s) = -2*s - 7. Let u(h) = 6*c(h) + w(h). Let z = 58 - 60. Calculate the remainder when u(z) is divided by 1.
0
What is the remainder when 80 - 42/(-18)*3 is divided by 11?
10
Suppose 43*u = 39*u + 24. Sup