*v. Calculate the remainder when 68 is divided by v.
8
Let v(r) = 7*r**2 - r + 164. What is the remainder when 522 is divided by v(-7)?
8
Suppose 3*o - 5*b - 5 = 5, -3*o = 5*b - 50. Let a(h) = 2 + 10*h**2 + o + 665*h**3 + 6*h**2 - 666*h**3. What is the remainder when 33 is divided by a(16)?
9
Let f = -5279 - -5286. Suppose -15*h + 11*h + 100 = 0. Calculate the remainder when h is divided by f.
4
Calculate the remainder when ((-14)/(-4))/((-3)/(-18)) is divided by 18.
3
Let a = 33402 - 30245. What is the remainder when 9480 is divided by a?
9
Suppose -s - 17 = j - 80, 2*s = 3*j - 169. What is the remainder when 1038 is divided by j?
35
Suppose -22*c + 16*c + 24 = 0. Suppose -4*a = 5*t - 175, -7*a + 2*t = -c*a - 160. What is the remainder when ((197 + 1)*1)/1 is divided by a?
48
Suppose 682 = 22*l - 0*l. What is the remainder when 5 - -81 - (-1)/(-1) is divided by 4/3*(l - 25)?
5
Suppose 5*t + 2*w = -28, t - 43*w = -38*w - 11. Let b = -2 - t. Suppose -5*k + 0*k + 90 = 0. What is the remainder when k is divided by b?
2
Let d(b) = -b**2 - 13*b. Suppose -6*x = -x + 45. Let i(c) = -c**3 - 11*c**2 - 40*c + 20. What is the remainder when i(-5) is divided by d(x)?
34
Let n(q) = -558*q + 10213. What is the remainder when 848 is divided by n(18)?
3
Suppose 3*d + 5*a - 153 = 8, -a + 105 = 2*d. Suppose -17 = q - 2*i - 3*i, -4*i + d = 4*q. Calculate the remainder when 68 is divided by q.
4
Let g(a) = 15*a**2 - 574*a + 2853. What is the remainder when g(5) is divided by 112?
22
Suppose a - 2*i = 43, 350*i + 86 = 2*a + 355*i. Let x = 228 + 7. Suppose -2*g + 189 = -x. What is the remainder when g is divided by a?
40
Let n(b) = 5*b**2 + 3*b - 4. Let a be n(-2). Suppose -x = -4 - a. Let c(i) = 68*i**2 - 18*i + 16. Calculate the remainder when c(1) is divided by x.
10
Suppose 4*f - 29 - 14 = 3*p, 2*f - 3*p - 23 = 0. What is the remainder when 207 is divided by f?
7
Suppose -5*b = 4*y + 6, 15*y = 3*b + 19*y + 10. Suppose 5*u + 10 = -0*u, 5*f + b*u = 51. Calculate the remainder when 140 is divided by f.
8
Let j(q) = -16*q**2 + 12*q + 3. Let c be j(-3). Let i = c - -292. What is the remainder when i is divided by 51?
13
Let b = 33156 - 32901. What is the remainder when b is divided by 97?
61
Let z = -61 + 45. Let x = z - -36. Let q = -15 - -26. What is the remainder when x is divided by q?
9
Let q = 15 - -1. Suppose 343*n + 25 = 338*n. Let p = q + n. What is the remainder when p is divided by 2?
1
Let q = 13773 + -12880. Calculate the remainder when q is divided by 436.
21
Let z = 38 - 36. Suppose -z*r + 3*q - 120 = r, -3*r - 118 = -5*q. Let n = 35 - r. Calculate the remainder when n is divided by 26.
24
Suppose -3321 = -m - 797. Suppose -35*o + m = -556. Suppose 13 = c - 0. Calculate the remainder when o is divided by c.
10
Let v(b) = 334*b - 2866. What is the remainder when v(9) is divided by 69?
2
Suppose -8*g + 7 = -4*g + 3*r, 2*g + 4 = -4*r. Suppose 0 = -4*b + q + 93, -11 + 95 = 4*b - g*q. Let a = -7 + 50. What is the remainder when a is divided by b?
19
Calculate the remainder when (-1050)/(-3675) - (97590/(-14))/1 - 6 is divided by 43.
42
Suppose 0 = 5*t - 3*n - 2 - 42, 2*n + 36 = 4*t. Let f(j) = -j**3 - 3*j**2 + 4*j - 3. Suppose 5 - 20 = 3*k. Calculate the remainder when f(k) is divided by t.
7
Suppose 11*n + 11 - 55 = 0. Suppose 3*q = l + 4*l - 87, n*l = -5*q + 77. Calculate the remainder when 266 is divided by l.
14
Let m = -79 - -519. Calculate the remainder when m is divided by 140.
20
Suppose 9*a - 131 - 31 = 0. What is the remainder when 8 + (-148)/a + (-1739)/(-9) is divided by 51?
40
What is the remainder when (31 + -33)/(6/(-516)) is divided by 29?
27
Suppose 98*v - 199 - 7053 = 0. Calculate the remainder when 117 is divided by v.
43
Suppose d - 4*d - 3*c = -12, -4*d = -2*c - 28. Let z = -28 - -51. Suppose -3*a = -z - 10. Calculate the remainder when a is divided by d.
5
Let l(c) = c**3 - 5*c**2 - 9*c - 8. Let v be l(7). Suppose -v = -3*a - 0. Calculate the remainder when 115 is divided by a.
7
Let d(k) = 5*k + 10. Let v be d(-2). Suppose -4*z - 3*l + 0*l + 42 = 0, -4*z + l + 50 = v. Calculate the remainder when z is divided by 3.
0
Suppose 3 + 5 = -2*u. Calculate the remainder when -1 - (-1428)/26 - (-26 + 12132/468) is divided by (-13 + 3)/(u/6).
9
Let w = -6143 + 6161. What is the remainder when 1392 is divided by w?
6
Let g be (-612)/16 + (-1)/(-4). Let w = 107 + -56. Let l = w + g. What is the remainder when l is divided by 5?
3
Suppose -4*u + 3*s - 4*s = -20, 5*s - 20 = -4*u. Let p = -4 - -7. Suppose -p*z + 8*z = 105. What is the remainder when z is divided by u?
1
Let w(z) = 4*z**2 - 3*z + 354. Let f be w(0). What is the remainder when (-1616)/(-6) - (-1)/(-3) is divided by (4/(-8))/(-2 + f/180)?
14
Let o = -245 - -258. Suppose -i - 156 = -o*i. Calculate the remainder when 413 is divided by i.
10
Suppose y + 60 = -5*r - 4*y, 4*r + 42 = 2*y. Let u be (-2)/r - (-119)/11. Suppose 168 + 30 = u*z. What is the remainder when 60 is divided by z?
6
Suppose 24 = 4*n + x, -3*n - 3*x + 2 = -5*n. Suppose 3*s - 15 = 0, 33 = -n*y + 3*s + 258. Calculate the remainder when y is divided by (45/(-12))/(12/(-32)).
8
Suppose 2*x = z + 1212, -4*z + 0 = 24. Calculate the remainder when x is divided by 159.
126
Suppose 0 = 8*i - 3*i - 380. Suppose 0 = 4*y - 32*z + 250 + 30, -3*y = -2*z - 54. Calculate the remainder when i is divided by y.
24
Suppose -2*f + 78 = f. Let c(i) = 2*i**3 - 158*i**2 - 162*i + 267. Calculate the remainder when c(80) is divided by f.
3
Suppose 5*m - 5*x = 40, 3*m = -2*m - 2*x + 26. Suppose 2*n = -m*n + 264. Suppose 0 = 3*u - 5*u + 26. What is the remainder when n is divided by u?
7
Suppose -48 + 9 = -13*m. Let s(o) = 5*o - 12. Let u be s(m). Suppose -35 = -d - 4*y, d = -u*d + 4*y + 100. What is the remainder when d is divided by 5?
2
Let r(z) = -207 + 22*z**3 + 4*z + 112 - 23*z**3 + 35*z**2. Calculate the remainder when r(35) is divided by 2.
1
Let a(i) = 69*i + 8. Let s be a(3). Suppose -2*o = s - 677. What is the remainder when o is divided by 79?
73
Let f = 157 - 87. Calculate the remainder when ((-6)/(-9))/(29/9048) is divided by f.
68
Suppose -35*j + 30*j = 295. Let m = -105 - j. Let g = 13 - m. Calculate the remainder when g is divided by 12.
11
Suppose 173*q - 8815 - 38878 = 2131. Let f(m) = -m**3 - 5*m**2 - 4*m - 3. Calculate the remainder when q is divided by f(-5).
16
Calculate the remainder when 309 is divided by (-108 + 0)*141/(-564).
12
Let n = -306 - -330. Let m = -14 + 26. What is the remainder when 2868/n - 1/2 is divided by m?
11
Suppose 588*v - 6950 = 583*v - 5*r, 3*r = 2*v - 2740. What is the remainder when v is divided by 63?
59
Let y(i) = 2*i**3 - i**2 - 11*i + 77. Let b be y(5). Suppose 10*x - b + 107 = 0. What is the remainder when 292 is divided by x?
12
Let u = -93 + 100. Suppose -6*f + 65 = u*f. Calculate the remainder when 3*5 - 2/(-1) is divided by f.
2
Let m(y) = 89*y + 5299. What is the remainder when 1058 is divided by m(-59)?
2
Let s = 7018 - 6961. Let v = -458 + 854. What is the remainder when v is divided by s?
54
Let t = 9527 + -9446. Calculate the remainder when 112 is divided by t.
31
Suppose -6*c = z - 9*c - 232, 8*z - 1875 = 5*c. Calculate the remainder when z is divided by 126.
109
Let f = 500 - -1379. Calculate the remainder when f is divided by 60.
19
Let p(k) = -k**3 + 32*k**2 - 219*k + 159. Calculate the remainder when p(18) is divided by 50.
3
What is the remainder when (-6318741)/(-2028) - 2/(-8) is divided by 10?
6
What is the remainder when 1235 is divided by (2/2)/((-116)/(-1392)) - -383?
50
Suppose 71738 + 196243 = 270*i + 58731. What is the remainder when i is divided by 189?
19
Suppose 4*y = 5*n + 703 + 12, 8*n = -5*y + 908. Calculate the remainder when y is divided by 104.
76
What is the remainder when (3 + 1 + -1)*342808/3522 is divided by 3?
1
Let x = 87 + 2. Suppose 30 = w - 4*l - 0, -l = -2*w + 60. Calculate the remainder when x is divided by w.
29
Let a = -18357 + 20372. What is the remainder when 2033 is divided by a?
18
Let m(q) be the first derivative of 30*q**3 + q**2/2 - q - 38. What is the remainder when m(1) is divided by 46?
44
Suppose -4*r = -2*c + 10 - 144, -r + c = -35. Calculate the remainder when 5468 is divided by r.
28
Suppose 100 = 5*w - 2*y, -33*w - 3*y = -24*w 