culate the remainder when 29 is divided by b.
3
Let p(v) = -v - 41. Let q be p(-12). Let d = 160 + q. What is the remainder when d is divided by 63?
5
Suppose 128 = 2*z - 4*j, 20*z - 4*j = 21*z - 10. Calculate the remainder when 1589 is divided by z.
25
Suppose 1382 = -42*i + 2148 + 2972. Calculate the remainder when 245 is divided by i.
67
Suppose 4*x + 6 = -2*i - 14, -3*x - 15 = 0. Suppose i = -4*b + 5*b - 55. Calculate the remainder when b is divided by 14.
13
Suppose 78*a - 70*a - 79*a = -497. Let q(b) = 2*b**3 - 5*b**2 + b + 4. Calculate the remainder when q(3) is divided by a.
2
Let s = 40 + -34. Let d(q) = -5*q - 2. Let z(p) = 1. Let o(t) = -d(t) + 6*z(t). Calculate the remainder when o(s) is divided by 10.
8
Let n(r) = -10*r**3 - 5*r**2 - 2*r + 3. Let c be n(-3). Suppose 2*w - 16 = c. Suppose 1127 = 6*l + w. Calculate the remainder when l is divided by 57.
53
Let i = 20099 - 20073. Calculate the remainder when 37542 is divided by i.
24
Suppose -5*d = s - 123 + 16, -3*s + d = -241. Calculate the remainder when 2459 is divided by s.
81
Suppose -1275 = -61*f - 172 + 361. Calculate the remainder when 137 is divided by f.
17
Let u = -10951 + 11140. What is the remainder when u is divided by (-14)/(-7) - (-2 + -2)?
3
Suppose 20*a - 79 = -5*k + 24*a, -4*k + 56 = -5*a. Suppose 0 = -5*t - 2*c - 3*c + 345, 3*t + c = 217. What is the remainder when t is divided by k?
17
Let h(i) = 1305*i**2 - 17*i - 50. Calculate the remainder when h(-4) is divided by 20.
18
Let t = 7 - 13. Let i(f) = f**3 + 7*f**2 - 3*f + 5. Let l = -16523 - -16529. Calculate the remainder when i(t) is divided by l.
5
Let t = -438 - -440. Suppose l + 379 = 6*l + 3*s, t*l - 3*s - 160 = 0. Let b = -36 + 56. Calculate the remainder when l is divided by b.
17
Suppose 56*j + 43*j = -105*j + 577320. Calculate the remainder when j is divided by 51.
25
Let w(z) = 67*z - 677. Calculate the remainder when w(17) is divided by 98.
70
Calculate the remainder when 1738 is divided by (-11)/4 - 4275/(-228).
10
Let y(t) = 2*t**3 - 5*t**2 + 3*t - 2. Let s(k) = 18*k + 5559. Calculate the remainder when s(-294) is divided by y(3).
11
Let v(m) = m**3 - 13*m**2 + 20*m + 6. Let i = -7 - -18. Let f be v(i). What is the remainder when 13 is divided by 7/(28/f) + 7?
1
Suppose 913 + 1455 = -8*h. Let m = -131 - h. Calculate the remainder when m is divided by 25.
15
Let s(q) = 11*q - 129. Let b be s(6). Calculate the remainder when 65 is divided by (-2)/(324/b - -5).
9
Suppose 3*s = -3*o + 57, -2*s + 5*o + 14 = -17. Suppose -i = -4*i + 642. Calculate the remainder when i is divided by s.
16
Let k(q) = -q**2 + 14*q + 2. Let h be k(14). Suppose -2*i + 34 = -5*a, 0 = -h*i - 0*i + 4*a + 34. What is the remainder when i is divided by 11?
6
Let v(d) = -2*d**3 + 42*d**2 + 46*d - 16. Let x = 34 + -30. Calculate the remainder when v(22) is divided by x.
0
Let z(o) = -o**3 + 31*o**2 - 166*o + 55. Calculate the remainder when 2161 is divided by z(24).
101
Suppose j - 30 = -2*q, 4*q + 4 = j - 2. Let l = 116 - 9. Suppose 11*a = 12*a - l. What is the remainder when a is divided by j?
19
What is the remainder when 1131 + (-187)/(306/(-18)) is divided by 362?
56
Calculate the remainder when ((-20)/2 + (-54)/(-9))/((-4)/186) is divided by 125.
61
Let p = -29 - -74. Let y(l) = -473*l - 68974. Calculate the remainder when y(-146) is divided by p.
39
Suppose -63*g = -3*g - 720. What is the remainder when 81 is divided by g?
9
Suppose 0 = -35*a + 13*a + 748. Calculate the remainder when 132 is divided by a.
30
Let r = 34 - 32. Let s(k) = 12*k - 11. What is the remainder when s(r) is divided by 6?
1
What is the remainder when (-51912)/(-32) + 18/(-30)*(-15)/12 is divided by 11?
6
Let b = -266 - -270. Suppose b*h - 1925 = -21*h. Calculate the remainder when 306 is divided by h.
75
Let n = -12 + 156. Suppose 52 - n = -4*c. Calculate the remainder when -2*(-2 + 6 - (-54)/(-36))*-18 is divided by c.
21
Let h(g) be the first derivative of -g**3 + 77*g**2/2 - 16*g + 86. Suppose 5*s - 2*s = 36. What is the remainder when h(25) is divided by s?
10
Suppose -3*m - 120 + 357 = 0. Calculate the remainder when m is divided by (-6 - -5)/(1/(-10)).
9
Suppose 5*s - 9439 = 4*j, -3*s - j = -2857 - 2803. What is the remainder when s is divided by 59?
58
Let a(f) = -f**3 + 6*f**2 + 3*f. Suppose -3*j = -2*w - 463, 2*j - 2*w - 118 - 188 = 0. Calculate the remainder when j is divided by a(6).
13
Suppose 0 = -2*u + 8, 4*u = 3*y + 2*u - 559. What is the remainder when y is divided by 28?
21
Suppose -26*b - 65 = -13*b. Let w(x) be the second derivative of 7*x**4/12 + 17*x**3/6 - 2*x**2 + 5*x. What is the remainder when w(b) is divided by 15?
11
Let q(f) = -f**2 - 276*f - 1596. Calculate the remainder when q(-6) is divided by 12.
0
Let c(l) = -3*l**3 + 170*l**2 - 139*l + 1645. Calculate the remainder when 900 is divided by c(56).
102
Let h = 133 - 119. Suppose -h*w = -612 - 382. Calculate the remainder when w is divided by 20.
11
Let h(x) = x**3 - 6*x**2 + 7*x - 7. Let t be h(5). Suppose 3*z = -5*g - z + 68, -t*g - z + 38 = 0. What is the remainder when 23 is divided by g?
11
Suppose -6*w + 225 = 195. Let m = -29 - -43. Calculate the remainder when m is divided by w.
4
Suppose -4*x = -3*c + 238, -x = 2*x - c + 176. Let t = -54 - x. What is the remainder when 81 is divided by (-7)/((1/t)/(-1))?
25
Suppose -q = 2*a - 3*q - 124, 4*q - 87 = -a. Suppose -4*f + 3*f = -264. Calculate the remainder when f is divided by a.
63
Let v(s) = -s**3 + 60*s**2 - 428*s - 313. What is the remainder when v(51) is divided by 269?
192
Let z = -1832 + 2206. What is the remainder when z is divided by 185?
4
Suppose 0 = 52*z - 62*z + 130. Suppose 0 = -z*k + 24*k - 1023. Suppose -14 = -5*q + 26. What is the remainder when k is divided by q?
5
Let n(u) = -u**3 - 4*u**2 + 7*u + 16. Suppose 0 = 6*y - y + 3*h + 22, 3*h = -2*y - 7. Let a = -30 - -47. What is the remainder when a is divided by n(y)?
5
Suppose 60*z - 187241 + 12409 = -20092. Calculate the remainder when z is divided by 27.
14
Let i(j) = -17*j + 740. Calculate the remainder when 8270 is divided by i(43).
8
Suppose -2*i + 347 = 36*c - 35*c, 0 = 4*i + 4*c - 688. What is the remainder when i is divided by 79?
17
Let t be 0 - -1 - (0 - 4/(-4)). Let r(g) = 6 + t + g + 4 + 16. What is the remainder when r(-11) is divided by 4?
3
Let b = 80 + -112. Calculate the remainder when (-12)/b - (-15330)/80 is divided by 33.
27
Suppose -28*k + 33*k = 25, -4*k + 60 = -4*a. What is the remainder when (-6 + 65/a)*(-460)/25 is divided by 59?
53
Let h(v) = 30*v**2 - 8*v + 18. Calculate the remainder when 759 is divided by h(-2).
143
Suppose 4*f + 370 = 9*f. Suppose l = 3*u - f, 30 = 5*u - 5*l - 100. Suppose -3*z + 5 = -2*z. What is the remainder when u is divided by z?
4
Let d(t) = -13*t + 4. Let b(l) = -28*l + 9. Let k(u) = 6*b(u) - 13*d(u). Calculate the remainder when 37 is divided by k(14).
5
Suppose 24 = -3*i, 0 = 2*s + i - 217 - 527. Calculate the remainder when s is divided by 151.
74
Let q = 9540 + -9209. Calculate the remainder when q is divided by 32.
11
Let k = -6505 - -7052. What is the remainder when k is divided by 179?
10
Let l = -3 + 8. What is the remainder when ((-3)/(-24))/(30/42960) is divided by l?
4
Suppose -2*r + 3*y - 8 = -3*r, 3*r = 4*y - 41. Let b be ((-3)/r)/(2/14). What is the remainder when (4/12)/((-1596)/(-531) - b) is divided by 5?
4
Let p = 60 + -44. Suppose -33*z = -37*z - p. Calculate the remainder when (15/(-3) - z) + 17 is divided by 3.
1
Let o(t) = t**3 + 4*t**2 - 3*t + 3. Let h be o(-5). Calculate the remainder when (h/4)/(18/(-2016)) is divided by 40.
36
Let x be (-12)/(-102) + 0 - 7620/34. Calculate the remainder when 7 is divided by 4 - x/(-119) - 4/34.
1
Let a(q) = -87*q**3 - 5*q - 59 + 172*q**3 - 86*q**3 - 28*q**2. Calculate the remainder when a(-28) is divided by 18.
9
Let q(c) = 93*c - 824. Calculate the remainder when q(11) is divided by 34.
29
Let x(d) = d**3 + 32*d**2 + 128*d + 1388. Calculate the remainder when 853 is divided by x(-29).
57
Let q = -3182 + 3324. What is the remainder when 1010 is divided by q?
16
Let u = 1943 + -1913. Calculate the remainder when 33 is divided by u.
3
Let a be 1*((-8)/20)/((-4)/520). Let k = a - 38. Calculate the remainder when 83 is divided by k.
13
Let y