3 = 3*n + 50, -x - g = 0. Calculate the remainder when 48 is divided by (-4)/n + 1503/117.
9
Suppose -14*m = -9*m - 155. Suppose 4*y - y - 2*t = 24, 5*y - 40 = 3*t. Calculate the remainder when m is divided by y.
7
Suppose -93*z + 92*z + 162 = 5*k, 0 = -2*k + 4*z + 56. Calculate the remainder when 203 is divided by k.
11
Suppose 5*b = 2*b + 69. Let g = 45 - b. Calculate the remainder when 42 is divided by g.
20
Suppose -2*r - 3*j + 0 + 113 = 0, j + 274 = 5*r. Suppose 2*y + 3*y = r. What is the remainder when 75 is divided by y?
9
Let l = 46 - 25. Let c be ((-4)/7)/((-6)/l). Suppose 4*g = c*g + 4. Calculate the remainder when g is divided by 2.
0
Let d(s) = s**3 - 18*s**2 + 16*s + 13. Let i be d(17). What is the remainder when 4/(4/15) + i is divided by 5?
1
Suppose z - 12 = -2*z, 5*y + z + 191 = 0. What is the remainder when (-2)/(-6) + (-1274)/y is divided by 5?
3
Suppose 7*j - 3 = 6*j. What is the remainder when j is divided by (-6)/8 - (-22)/8?
1
Let d(v) = v**3 + 7*v**2 - 5*v + 16. Let k be d(-7). Let j = 72 - k. Calculate the remainder when j is divided by 13.
8
Let g = -5 - -1. Calculate the remainder when (57/6)/((-2)/g) is divided by 2 - -18*(-4)/(-8).
8
Let o = 32 + -30. Suppose 5*x = -o*k + 145, -115 = -3*x + 2*k - 12. Calculate the remainder when 60 is divided by x.
29
Suppose -2*y + 134 = 2*i, 0 = 5*i - 5*y - 23 - 292. Calculate the remainder when 208 is divided by i.
13
Suppose 0*m - 3*m + 24 = -4*j, -5*m = -2*j - 26. What is the remainder when 105 - (11 - 3)/m is divided by 21?
19
Calculate the remainder when 10/(-55) + (-12064)/(-44) + -2 is divided by 55.
52
Let m(f) = -f**3 + 39*f**2 + 39*f + 110. Calculate the remainder when 209 is divided by m(40).
69
Suppose -28*l - 179 = -1131. What is the remainder when l is divided by 21?
13
Let d(h) = -11*h - 11. Suppose 0 = 3*l + a + 10, -2*a + 2 = -4*l - 8. What is the remainder when 103 is divided by d(l)?
15
Let p = -4 + 12. Let a(n) = -p*n + 2*n - n**2 - 5 - 6*n. What is the remainder when 44 is divided by a(-10)?
14
Suppose 4*u - 68 = -4*j + 36, 2*j - 80 = -3*u. Suppose 0 = 2*i - 4*f - u, -2 = -i - f - f. What is the remainder when 13 is divided by i?
5
Let t(h) = -h**3 + 8*h**2 - 13*h + 6. Let m be t(6). Suppose 3*a - 10 - 2 = m. What is the remainder when 7 is divided by a?
3
Let x(o) = -7*o**3 + 4*o**2 - 6*o - 1. Let b(j) = j**2 - j. Let c(i) = -4*b(i) + x(i). What is the remainder when c(-2) is divided by 16?
11
Let n(c) = -7*c + 213. What is the remainder when 478 is divided by n(27)?
22
Suppose 2*x - 3*x - 5*y = -360, 368 = x + 3*y. Calculate the remainder when x is divided by 129.
122
Let u(f) = f**3 - 4*f**2 - 9*f + 1. Suppose 7*x + 6 = 5*x. Let y = 2 - x. Calculate the remainder when u(6) is divided by y.
4
Let t(f) = f**2 + 5*f + 6. Let k be t(-5). Let z(r) = 5*r + 1. Let u be z(1). Suppose -k*d = -u - 54. Calculate the remainder when 38 is divided by d.
8
Let r = 222 + -187. What is the remainder when r is divided by 14?
7
Suppose -220 = -10*y + 5*y. Suppose -2*s + y = -4*m, 2*s - 1 = 7. Let u = m - -20. Calculate the remainder when 43 is divided by u.
10
Let i(w) = w**3 - 14*w**2 + 14*w - 9. Suppose 0 = 3*n + n - 40. Suppose -2*j + 0*j + n = 0. Calculate the remainder when j is divided by i(13).
1
Let o = -1128 - -1202. What is the remainder when 517 is divided by o?
73
Let b be 1010/(-85) - 4/34. Let h = -9 - b. Suppose -h*i = k - 30, 3*i + 4*k - 8 = 22. What is the remainder when 17 is divided by i?
7
Suppose -k - 21 + 23 = 0. Suppose -k*d - 20 = -3*d. What is the remainder when 78 is divided by d?
18
Let v = -417 - -438. What is the remainder when 39 is divided by v?
18
Let k(u) = u**2 - u - 4. Let s(m) = -m**2 + 6*m - 3. Let r be s(6). Calculate the remainder when (126/(-24))/((-2)/8) is divided by k(r).
5
Suppose 2*f - 79 = -0*w - 3*w, 4*f = 5*w - 139. Let q(s) = -26*s + 8*s + 2*s**2 + 12*s + 12 - s**2. What is the remainder when q(10) is divided by w?
25
Suppose -7*f + 1134 - 119 = 0. What is the remainder when f is divided by 4?
1
Let z(f) = -3*f + 29. Let n = 49 - 40. Calculate the remainder when 8 is divided by z(n).
0
Suppose -3 - 57 = -3*w. Suppose 4*v + 2*t - w = 0, -2*t = v - 2*v - 5. Suppose -8*u = -v*u - 150. What is the remainder when u is divided by 11?
8
Let k(i) = -i**2 - 17*i + 14. Let g = 65 - 13. What is the remainder when g is divided by k(-17)?
10
Let b = -128 + 67. Let y = -42 - b. Calculate the remainder when 36 is divided by y.
17
Calculate the remainder when 246 is divided by (-24)/(-30) - (-2)/(-20)*-362.
24
Let m be ((40/(-4))/(-5))/((-4)/(-54)). Let l = 36 + m. What is the remainder when l is divided by 13?
11
Let y(n) = -n + 9. Let k be y(-15). Let q be k/(-20)*(-240)/(-9). Let g = q + 49. Calculate the remainder when g is divided by 9.
8
Let w(d) = -d**2 + 6. Let q be w(0). Let k = 15 - q. Calculate the remainder when k is divided by 5.
4
Suppose 4 = -o + 4*d, 0*o + 5*d = 2*o - 4. Suppose -l + 8 + o = 0. Let p(j) = j + 19. Calculate the remainder when l is divided by p(-8).
9
Suppose -4*c - 9*d + 13*d + 180 = 0, -4*c + 175 = -5*d. Calculate the remainder when 87 is divided by c.
37
Let j be (-12)/2*6/12. What is the remainder when (1 - j)*(-198)/(-24) is divided by 9?
6
Let m = 2 + -6. Let o(g) = 4*g**2 - 2*g - 2. Calculate the remainder when o(3) is divided by m/(-16) + (-295)/(-20).
13
Let o(l) = 2*l**2 + 2*l + 8. Calculate the remainder when o(-5) is divided by 34.
14
Let y(f) be the first derivative of -7*f**2/2 + 3*f + 7. Suppose 4*d + 5*w = 61, -w + 4*w - 51 = -4*d. What is the remainder when y(-3) is divided by d?
6
Let f(r) = 45*r - 22. Calculate the remainder when 59 is divided by f(1).
13
Let c(j) = -j**2 + 32*j - 16. Calculate the remainder when c(27) is divided by 63.
56
Let v be 5 + 2*(-1 - 0). Suppose 3*j - v - 1 = -2*t, j + t = 1. Suppose -3*p + 3*s = p - 34, 26 = j*p + 3*s. What is the remainder when p is divided by 6?
4
Let j = -95 - -167. Suppose -18 = -5*z + j. Suppose 0 = -2*s + 3*s - 3*u - 61, s - 64 = 2*u. What is the remainder when s is divided by z?
16
Suppose -26*s = -27*s + 115. Calculate the remainder when s is divided by 13.
11
Suppose -l + 116 = -s, -5*l + 5*s = 4*s - 592. Calculate the remainder when l is divided by 38.
5
Let z = -306 + 471. Calculate the remainder when z is divided by 7.
4
Calculate the remainder when (14 - 10696/(-44)) + 2/(-22) is divided by 3.
2
Let b = 11 - 0. Let a(j) = j**2 - 2*j - 4. Suppose -32 = -4*i - 8. Calculate the remainder when a(i) is divided by b.
9
Suppose -2*d = -5 - 5, 0 = r - 2*d + 10. Suppose r = -8*h - 3*h + 1166. Calculate the remainder when h is divided by 22.
18
Let k = 13 - 13. Suppose k = j + 6. Let s = -2 - j. Calculate the remainder when 7 is divided by s.
3
Calculate the remainder when ((-2205)/588)/(6/(-512)) is divided by 27.
23
What is the remainder when (-1)/4 + ((-1313)/(-52) - -7) is divided by 12?
8
Suppose 0 = 5*h, -4*i + 23 + 377 = -5*h. Let f = -54 + i. Calculate the remainder when f is divided by (11/((-220)/8))/((-2)/60).
10
Suppose -3*t - 3*x = -4*x - 35, -3*x = -3*t + 45. Suppose 72 = 2*q - 3*f, 3*q - 89 = -0*f - 5*f. Calculate the remainder when q is divided by t.
3
Let j = 222 + -74. Let c = -127 + j. Calculate the remainder when 125 is divided by c.
20
Suppose -4*o + 0*o - 8 = 0, -5*u + 51 = -3*o. Let f = u - 0. What is the remainder when (f/6)/(6/44) is divided by 4?
3
Let t = -319 + 537. Calculate the remainder when t is divided by 72.
2
Suppose 5*t = -35 + 85. Let w(u) = u**3 - 11*u**2 + 11*u + 6. Calculate the remainder when 46 is divided by w(t).
14
Suppose f - 22 = 29. Let w = 7 + f. Suppose -4*u + 5 = -5*q + w, 0 = -5*u - 10. What is the remainder when 24 is divided by q?
6
Calculate the remainder when (-5 + 6 - -3) + 219 is divided by 64.
31
Suppose 0*r - 3*r + 39 = y, 2*r + 5*y = 39. Suppose -51 + r = -3*i. Calculate the remainder when (-12 - (-78)/6)/(1/51) is divided by i.
12
Let z = -406 + 432. What is the remainder when z is divided by 9?
8
Let f(u) = u**2 - 20*u - 68. What is the remainder when 81 is divided by f(24)?
25
Let j = 36 - 14. Let w(r) = r**2 - 3*r + 9. Let f(h) = -4*h - 7. Let y be f(-4). Calculate the remainder when w(y) is divided by j.
19
Let h = 85 - 67. Let o = 4 - -1. Calculate the remainder when h + -5 - 