9
Suppose 5*q = 9*q - 12. Suppose n + s = 4*n - 54, -4*n = -2*s - 72. What is the remainder when q/(-1) + (n - 1) is divided by 5?
4
Suppose -2*c - 5*r + 250 = 0, 4*r + 0*r + 232 = 2*c. What is the remainder when 715 is divided by c?
115
Suppose 17*c + 13*c - 480 = 0. Calculate the remainder when 176 is divided by c.
0
Let y = -446 - -804. What is the remainder when y is divided by 12?
10
Let q be 0/(5/(-1)) - 18. Let z(s) = -6*s - 53. Suppose 3*t - 2*t = 8. Calculate the remainder when z(q) is divided by t.
7
Let h be 16/6*15/20. What is the remainder when ((-270)/(-12) - 8)/(1/h) is divided by 12?
5
Let q = 97 + -64. Let f = 7 + -4. Calculate the remainder when 714/66 - (-6)/q is divided by f.
2
Suppose 2*u + 3*s = 311, -315 = -5*u - s + 495. Let b = -159 + u. Calculate the remainder when 14 is divided by b.
2
Let t(d) = 5*d + 10. Let a be 0 + -3 + 0 + 6. Let j be t(a). Let x = j - 17. Calculate the remainder when 29 is divided by x.
5
Let v(n) = -3*n - 7. Let b be v(-4). Suppose -3*i + 3*z = -9, 2*z - 32 = -b*i - 10. Let j(f) = f**2 + 2*f. Calculate the remainder when 95 is divided by j(i).
23
Let b = -5 + 10. Suppose -5*f + f + 56 = -b*a, 0 = -3*a - 12. Calculate the remainder when 16 + 0 + 3 + -2 is divided by f.
8
Suppose -5*h + 8*h = 0. Suppose -k + 7 + 0 = h. Suppose 4*v + 2*w - 64 = 46, -5*v + 130 = -5*w. What is the remainder when v is divided by k?
6
Let o = -348 + 1045. Calculate the remainder when o is divided by 50.
47
Let h = -2 + 16. Suppose l + 0*l - h = 0. Suppose 6 = 15*q - 13*q. Calculate the remainder when l is divided by q.
2
Suppose -174 - 1835 = -49*v. Calculate the remainder when (2 + -1)*(119 - -1) is divided by v.
38
What is the remainder when 250/75*((-119)/(-5) + -4) is divided by 25?
16
What is the remainder when 2/(-11) - (-1 - 1157/11) is divided by 12?
10
Let t = 54 - 30. Let d be 420/24*t/14. Suppose z - d = 9. What is the remainder when z is divided by 14?
11
Let u(q) = 6*q - 7. Let y be u(4). Suppose -6 - 6 = -4*k. Suppose -4*b + y = -k. Calculate the remainder when 17 is divided by b.
2
Let r(y) = 11*y - 5. What is the remainder when r(6) is divided by 11?
6
Let y = 18 + -10. Suppose -y = -2*j - 0*j. Suppose -j*m + 125 = m. What is the remainder when 97 is divided by m?
22
Let a(z) = 24*z + 56. What is the remainder when a(4) is divided by 22?
20
Let t(q) = q**2 + 12*q + 23. Let i be t(-3). Let m(v) = 11*v + 56. Suppose 2*s - 126 - 12 = 0. Calculate the remainder when s is divided by m(i).
9
Let o(q) = -10*q - 2. Calculate the remainder when (2/(-6))/(49/(-8085)) is divided by o(-3).
27
Suppose 0 = -f - 2*y + 17, 4*f - 10*y = -11*y + 68. What is the remainder when 77 is divided by f?
9
Suppose 0 = 26*n + 24*n - 1800. What is the remainder when 121 is divided by n?
13
What is the remainder when 129/86*(-111)/(-18)*4 is divided by 6?
1
Let y(s) = -s**2 + 16*s - 51. Suppose 3*k - 2*b = 14, k + 18 = -4*b - b. Calculate the remainder when y(5) is divided by k.
0
Let s(x) = -54*x - 32. What is the remainder when s(-2) is divided by 6?
4
Let w(f) = 7*f**2 + 4*f - 4. Let x = -65 + 66. What is the remainder when 8 is divided by w(x)?
1
Suppose 0 = -32*b + 31*b + 28. Suppose 5*a = -4*l + 644 - 127, 5*l = -3*a + 305. What is the remainder when a is divided by b?
21
Let s(i) = -3*i - 28. Let w be s(-13). Suppose -2*p - w = -71. Let a = -29 - -87. Calculate the remainder when a is divided by p.
28
Let z = -306 + 338. Calculate the remainder when 81 is divided by z.
17
Let l be (-6)/(-3) + -1 - 31. Let x(y) = y**2 + 15*y. What is the remainder when (-1415)/l - 2/12 is divided by x(-16)?
15
Let o(t) = t**3 + 9*t**2 - 2*t - 10. Let f be o(-9). Calculate the remainder when ((-110)/4)/((-4)/f) is divided by 29.
26
Let p(v) = 9*v + 415. What is the remainder when 2513 is divided by p(-42)?
34
Let o(w) = 3*w**3 + 2*w**2 - 6. Calculate the remainder when 43 is divided by o(2).
17
Let q(x) = -49*x**3 + 2*x + 4. What is the remainder when 191 is divided by q(-1)?
38
Let u = -29 - -41. Let b = u - 10. Suppose 3*v + b*k = 115, -k = -4*v - 3*k + 156. Calculate the remainder when v is divided by 14.
13
Calculate the remainder when (-4 - 0)*(-1)/(-4) + 71 is divided by 50.
20
Suppose 4*y = 3*y + 15. Calculate the remainder when 2336 is divided by y.
11
Let p = -7 + 23. Let i be 1/(-4 - (-67)/17). Let r = 44 - i. What is the remainder when r is divided by p?
13
Let g(k) = 4*k**2 + 2*k - 3. Let n = 38 + -36. Calculate the remainder when g(n) is divided by 9.
8
Let f = -76 + 81. Suppose -5*d - 61 = -f*h + 2*h, 28 = 2*h + 3*d. Calculate the remainder when 64 is divided by h.
13
Let z be (0 - (0 + -1))*(-105)/(-21). Suppose -37 = -z*q + j, -31 = -5*q + j - 3*j. Calculate the remainder when 12 is divided by q.
5
Suppose 29 - 13 = 4*u. Suppose -4 = 4*s, 0*a - 3*a + u*s + 97 = 0. Calculate the remainder when a is divided by 7.
3
Let a = -560 - -956. What is the remainder when a is divided by 99?
0
Calculate the remainder when 67 is divided by (19/57)/((-2)/(-180)).
7
Let x = 590 + -582. What is the remainder when 220 is divided by x?
4
Suppose 0 = -l - d + 83, l + 2*l = -d + 245. Let g(k) = k**3 - 7*k**2 + 3*k. Suppose 0 = -4*i - 0*i + 28. Calculate the remainder when l is divided by g(i).
18
Let d = -1859 + 1954. Calculate the remainder when d is divided by 76.
19
Suppose 0 = -3*x - 8 + 8. Suppose 4*h - 18 - 106 = x. Calculate the remainder when 122 is divided by h.
29
Let g(o) = -3*o**3 - 5*o - 2. Suppose -6 = p + p. Calculate the remainder when g(-3) is divided by (-595)/(-25) - p/15.
22
What is the remainder when (8 - (-63)/9) + 6 is divided by 18?
3
Let l = -99 - -139. Suppose -5*n = 3*y - 24, y + n + 0*n = 6. Suppose 4*i + y*w = 50, -4*i - 3*w + 52 = -w. What is the remainder when l is divided by i?
12
Calculate the remainder when 309 is divided by 36/54 - 1 - (-241)/3.
69
Let k(u) = 12*u**2 + 4*u - 4. Let j be k(3). Suppose 2*o - j = -0*o. What is the remainder when o is divided by 12?
10
Let i be 0 - -5*(3 + -4). Let k = 32 + i. Let j(m) = 12*m - 5. What is the remainder when k is divided by j(1)?
6
Calculate the remainder when 75 is divided by 6 + 0*(-5)/(-15).
3
Suppose -b - 282 = -4*h - 6*b, -h = -2*b - 64. What is the remainder when 260 is divided by h?
56
Suppose -3*z + w + 8 = 0, 3*z - w = 4*w + 4. Let l(i) = 5*i**2 + 16. Let d be l(-6). Suppose -v = z*v - d. Calculate the remainder when v is divided by 13.
10
Suppose -4*m + 3*r + 1023 = 0, r + 1265 = -0*m + 5*m. Suppose m = -18*k + 22*k. Calculate the remainder when k is divided by 32.
31
Let k = 96 - 85. Let o(m) = -m**3 + 13*m**2 - 14*m + 19. Calculate the remainder when o(k) is divided by 11.
8
Let d = 648 - 560. Calculate the remainder when 346 is divided by d.
82
Let h be ((-2)/(-4))/(2/(-12)). Let g be 0/(14/7 - -2). Let u = g - h. Calculate the remainder when 4 is divided by u.
1
Let n(o) = o**2 - 10*o - 43. What is the remainder when 467 is divided by n(14)?
12
Let n(a) = -9*a + 15. Let m be n(3). What is the remainder when 244/m*-3*1 is divided by 31?
30
Let d = -179 - -445. What is the remainder when d is divided by 68?
62
Let m(q) = 2*q**2 + 33 + 2*q**2 - 3*q**2 + 8*q + 9*q. Let k = 10 + 8. Calculate the remainder when m(-19) is divided by k.
17
Let k(p) = -p**3 - p**2 + 30. Suppose 60*w - 274 - 509 - 297 = 0. What is the remainder when k(0) is divided by w?
12
Let m = 20 + 79. Suppose 0 = -5*o + 2*o + m. Let g = 25 - 13. Calculate the remainder when o is divided by g.
9
Let v(s) = -28*s + 283. What is the remainder when v(-7) is divided by 24?
23
Let g = -20 + 37. What is the remainder when (1/((-20)/(-8)))/(20/30)*55 is divided by g?
16
Let y(p) = 10*p + 23. Let o be y(-3). Let j(b) = b**3 + 9*b**2 + 5*b - 13. What is the remainder when j(o) is divided by 17?
16
Let n = -9 - -8. Let x be n*1 + 4 + 7. Suppose a - d - 19 = -6*d, 2*d + x = 4*a. Calculate the remainder when 5 is divided by a.
1
Let h(t) = 3*t + t**2 - 9 + 48 - 3*t. Suppose 3*u - 35 = -2*z - 1, -6 = -u + 2*z. Calculate the remainder when h(0) is divided by u.
9
Let f(w) = -9*w - 4. Let u be f(-6). Suppose -21 = -3*y - 4*a + u, -4*a - 79 = -3*y. Calculate the remainder when 49 is divided by y.
24
Let t = 65 - 52. Let o(b) = -b**2 + 16*b + 7. Calculate the remainder when o(t) is divided by 13.
7
Let 