r when q is divided by (-8)/16*(-616)/11.
23
Suppose -5*u = 5*x - 4*x - 2089, 3*u = 2*x + 1256. Let b = u - 414. Let s = 23 - -7. Calculate the remainder when s is divided by b.
2
Suppose -4*b = 4, -v + 229 = 41*b - 44*b. Calculate the remainder when v is divided by 143.
83
Let r = -781 - -1400. Suppose -4*f = -d - r, 219 = 3*f + 2*d - 237. Calculate the remainder when f is divided by 32.
26
Let m be 6*4*1/6. Suppose 11 = 5*d - m. Suppose 2*x + d*y = 39, 2*y = -5*x + 2*x + 56. What is the remainder when 50 is divided by x?
14
Let k = -967 + 1045. Let q = -63 + k. What is the remainder when 749 is divided by q?
14
Let a(h) = -h - 1. Let p(b) = 5*b + 2. Let x(q) = 4*a(q) + p(q). Let i be x(-1). Calculate the remainder when 27 is divided by (-6)/i - 4 - -9.
6
Let t be (-3 - -2) + (-1 - -9). Suppose v + 50 = 5*v + 5*j, 0 = -2*v + j + 18. Suppose -9*q + t*q + v = 0. What is the remainder when 23 is divided by q?
3
Let w(r) = r**3 + 2*r**2 - 39*r + 2. What is the remainder when 5*2*275/10 is divided by w(6)?
51
Suppose -4*m = -3*s - 291, s = -m + 5*m - 289. Calculate the remainder when 574 is divided by m.
70
What is the remainder when 2950 - (-8*27/576 - (-21)/(-8)) is divided by 44?
5
Let f(s) = 2*s**3 - 8*s**2 + 6*s - 9. Let z be f(5). Suppose -z*o = -68*o - 111. Calculate the remainder when 95 is divided by o.
21
Let d = -12300 - -12559. What is the remainder when 296 is divided by d?
37
Let g = 584 - 311. Let p(h) = 3*h**3 - 39*h**2 + 3*h + 32. What is the remainder when g is divided by p(13)?
60
Let r(d) = -d**3 - 18*d**2 + 41*d - 90. Calculate the remainder when r(-22) is divided by 252.
188
Let w = 48 - 21. Suppose -3514 = 49*t - 50*t. What is the remainder when t/35 + 6/10 is divided by w?
20
Calculate the remainder when ((-18)/(-12))/((-63303)/7914 - -8) is divided by 30.
29
Suppose 5*h + 9 = -4*r - 8, -4*r = h - 3. Suppose 1 = -r*n - 3. What is the remainder when 1665/25 - n/5 is divided by 23?
21
Suppose -4*f = 5*m - 211, -11*f = 5*m - 12*f - 216. What is the remainder when 2 + (0 - 2) - -122 is divided by m?
36
Let c = 40 - 84. Let j = c - -66. Calculate the remainder when (-21142)/(-217) + 7 + 2 - (-9)/(-21) is divided by j.
18
Let z(s) be the third derivative of s**6/60 + 7*s**5/20 - 3*s**4/8 + s**3/3 + 3*s**2 + 3. What is the remainder when z(-8) is divided by 36?
34
Let s(g) = 6*g**2 - 134*g - 44. Suppose 2*n - 32 = t - 3*t, 5*t + 4*n - 82 = 0. What is the remainder when s(23) is divided by t?
12
Let o(y) = -5*y**2 + 1 + 68*y - 9 - 71*y - y**3. Let z be o(-4). Calculate the remainder when 46 is divided by (-9)/z - (-582)/24.
21
Suppose 6 = 3*r, 2*n - r = 6*n - 418. Calculate the remainder when 129 is divided by n.
25
Suppose -330 - 129 = -17*d. Suppose -3*m = 5*t - 74 - 95, t - d = -4*m. Calculate the remainder when 102 is divided by t.
32
Let j(u) = 3*u**3 - 241*u**2 - 162*u + 61. Calculate the remainder when 71 is divided by j(81).
10
Let b(x) = 25 + 8*x - 7*x - 9*x + 33. What is the remainder when 49 is divided by b(6)?
9
Suppose 17 + 6 = 3*m - 4*x, -4*m + 64 = 3*x. Suppose 2*v - m*v = -726. Calculate the remainder when v is divided by 37.
29
Let d be (-2 - (-4)/2)/(-1). Suppose -3*w + 53 = 5*x, -5*x + 3*w - 21 + 98 = d. Let y = -343 + 347. Calculate the remainder when x is divided by y.
1
Suppose -545694 = -418*q + 390208. Calculate the remainder when q is divided by 2239.
0
Let w(n) = -n**3 - 51*n**2 - 110*n - 574. Calculate the remainder when 4038 is divided by w(-49).
6
Suppose -3*o = 835 - 2623. Suppose 4*x - 820 = -o. What is the remainder when 333 is divided by x?
53
Suppose -480*y = -52*y - 301312. What is the remainder when 1447 is divided by y?
39
Let r = 587 - 580. Suppose 5*w - 5*i = 185, w - 15 = 5*i + 18. Let u = w - r. Calculate the remainder when 91 is divided by u.
29
Suppose 4*j - 70 = -n - 0*n, -4*n = -4*j - 340. Let z = n - 58. What is the remainder when 69 is divided by z?
21
Suppose 105 = 4*k + k. Let w(r) be the third derivative of r**4/4 + 166*r**3/3 - 3*r**2 + 48. What is the remainder when w(-42) is divided by k?
17
Let w(o) = 2*o**3 + 147*o**2 + 214*o + 216. Calculate the remainder when w(-72) is divided by 18.
0
Calculate the remainder when (-3034564)/(-2278) - 6/51 is divided by 8.
4
Suppose -9*x - 6*x = -24*x + 40545. What is the remainder when x is divided by 92?
89
Let g be 18/4 - (-15)/10. Suppose -g*v - 24 = -3*v. Let w(k) = -k**2 - 10*k - 3. Calculate the remainder when 38 is divided by w(v).
12
Let i(k) = -k - 13. Let t be i(-18). Let c = 49 + t. Calculate the remainder when 152 is divided by c.
44
Let n(s) be the first derivative of -s**3/3 - 23*s**2/2 - 8*s - 71. What is the remainder when n(-21) is divided by 20?
14
Let p(j) = -j**3 - 8*j**2 + 14*j + 6. Let n be p(-10). Let g = 95 - n. Calculate the remainder when g is divided by 10.
9
Suppose a - 442 = 838. Suppose -22*f - a = -32*f. Calculate the remainder when f is divided by 69.
59
Let i = -4 + 33. Let q = i - 26. Suppose -5*p + 87 = q*d, p - 4*d + 3*d = 11. What is the remainder when 50 is divided by p?
5
Let h = -105 - -109. Let t(o) = 2*o**2 + 5*o + 6. What is the remainder when t(-6) is divided by (-15)/(-48)*h*4*2?
8
Let y(z) = 20*z**2 + 5*z - 21. Let a be y(4). Suppose a + 401 = -8*n. Let f = 92 + n. Calculate the remainder when 2 is divided by f.
0
Let p(c) = -c**3 + 16*c**2 - 40*c + 50. Calculate the remainder when p(11) is divided by 32.
23
Let m = 16 + -16. Suppose m*d - d = -16. Suppose 196 = 5*a - 19. Calculate the remainder when a is divided by d.
11
Let m = 56 - 26. Let u(i) = -1. Let z(o) = -o - 6. Let c(l) = -4*u(l) - z(l). What is the remainder when m is divided by c(6)?
14
Suppose -6*l = -4*l - 34. Suppose 0 = -8*s + 12*s. Suppose s = 4*n - 2*n - 168. What is the remainder when n is divided by l?
16
Let i(g) = 56037*g**3 - 22 + 25 - 56035*g**3 + 2*g. Let l = 6 - 4. Calculate the remainder when 43 is divided by i(l).
20
Suppose -3*x = -l + 2*x + 19, 1 = 4*l + 5*x. Suppose -5*m - l*z = -336, 5*z - 206 - 134 = -5*m. What is the remainder when m is divided by 5?
4
Let b(k) = 4*k**2 - 8*k - 30. Let g be b(7). Suppose 4*j = g + 34. Calculate the remainder when 178 is divided by j.
34
Let q = -3299 - -3301. Calculate the remainder when 866 is divided by q.
0
Suppose -99*b + 74*b - 10620 = -107170. What is the remainder when b is divided by 79?
70
Let v(y) = -y**2 + 62*y + 1361. What is the remainder when v(67) is divided by 10?
6
Suppose -613 - 750 = -47*c. What is the remainder when 70 is divided by c?
12
What is the remainder when 11 - (-27899 + 14)/13 is divided by 1074?
8
Let f(x) = -x**2 + 73*x + 164. What is the remainder when f(73) is divided by 39?
8
Suppose -6*n - 3699 = -22341. Calculate the remainder when n is divided by 74.
73
Let c(h) = -h**3 + 8*h**2 + 17*h - 48. What is the remainder when (-3835)/(-20) - 3/4 is divided by c(9)?
23
Let k be 32/10*861/28*10. Let y = -632 + k. Calculate the remainder when y is divided by 59.
57
What is the remainder when (-388240)/(-104) + (-408)/(-442) is divided by 21?
17
Suppose 3*v = -11*q + 15*q + 458, v + 5*q = 102. What is the remainder when 33509 is divided by v?
139
Suppose -18*q - 30 = 24. What is the remainder when 12 is divided by (45/18)/(q/(-6))?
2
Let h(w) = -2*w - 4. Let i be h(-3). Let f = i - -30. Let t = 34 + -22. Calculate the remainder when f is divided by t.
8
Suppose -4*h + 103 = 11. Let n = h - 62. Let v = 90 + n. Calculate the remainder when 99 is divided by v.
48
Let v(t) = 15*t**2 - t - 7. What is the remainder when v(5) is divided by 17 - (-43)/((-817)/(-171))?
25
Let p = -5552 + 5557. What is the remainder when 374 is divided by p?
4
Let j = 88 + 29. Calculate the remainder when j is divided by ((-5)/(-2))/(8 - 7884/1008).
5
Suppose -4*b + 123 + 57 = -2*o, -4*b + 182 = -o. What is the remainder when 1327 is divided by b?
39
Suppose 2*u - 24*u = -11*u - 121. Calculate the remainder when 31 is divided by u.
9
Suppose -10*v = -7*v - 507. Let o = 192 - v. Calculate the remainder when 44 is divided by o.
21
Let x(j) = -j**3 + 7*j**2 + 10*j - 12. Let i be x(8). What is the remainder when (-3 - (i + 1))*-30 is divided by 79?
3
Let r = 2002 + -1330. Let l = -661 + r. Let v(a) = a**3 + a**2 + a + 30. What is the remainder when v(0) is divided by l?
8
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