 when v(d) is divided by 12.
11
Let h(n) = 21*n**2 - n. Let m(l) = 13*l**2 + 78*l + 122. What is the remainder when h(1) is divided by m(-4)?
2
Suppose -53*b + 108394 - 20419 = 292*b. Suppose -2*i - 4*n = -7*i + 268, 0 = 2*i - 3*n - 110. Calculate the remainder when b is divided by i.
47
Let y = 80 + -16. Suppose 76 = 29*h - 27*h - 2*w, 4*w = -16. Suppose -464 = h*d - 50*d. Calculate the remainder when y is divided by d.
6
Let d be 153/(-5) + (-10)/25. Let q = d - -54. Calculate the remainder when 211*(-6)/(-14) + 15/(-35) is divided by q.
21
Suppose -5*b + 21 = 1, 2*u - 18 = b. Suppose 7*v + 3882 = 13*v. Suppose -7*i + v = 206. Calculate the remainder when i is divided by u.
8
Let h(d) = -d**3 - 19*d**2 + 42*d + 2. Let p be h(-21). Calculate the remainder when 178 is divided by (3 + -5)/(p/(-46)).
40
Suppose -20 + 275 = u. What is the remainder when u is divided by 37?
33
Suppose -73*r + 4 = -71*r - 6*p, 2*p = 4*r - 18. Suppose -4*j = -q + 21 - 4, 2*j = 4. Let l = -13 + q. What is the remainder when l is divided by r?
2
Suppose -30 = -4*m + 2*y, 35*m - 10 = 31*m + 6*y. What is the remainder when 5638 is divided by m?
8
Let f(x) = x**3 + 4*x**2 + 2*x + 8. Let n be f(-4). Suppose -b + 2*b + 45 = n. What is the remainder when 63 is divided by (-6)/b + (-2465)/(-75)?
30
Suppose -5*k + 2*z = 3*z - 148, 4*z = -k + 22. Let w(i) = -749*i + 2455. What is the remainder when w(3) is divided by k?
28
Let v(m) = 13*m + 84. Let u be v(0). Let n = u + 11. Calculate the remainder when n is divided by 25.
20
Suppose 0 = -o + 5*t + 22, 0 = -5*t - 13 - 7. Suppose -4*n = -o*n + 4. Calculate the remainder when 90 is divided by (n + 2 - (-23)/(-4))*-4.
21
Suppose 3*f = -3*l + 4252 - 1144, f - 1038 = -2*l. What is the remainder when f is divided by 9?
8
Suppose -4*x + 132 = -216. Suppose -h + x = 2*h. Let n(i) = -6*i + 9. What is the remainder when h is divided by n(0)?
2
Let u(d) = 2*d - 24. Let j(r) = 6*r**2 + 6*r + 3. Let y be j(-2). What is the remainder when 41 is divided by u(y)?
5
Suppose 0 = -3*t - t - 1444. Let k = -339 - t. Suppose 75 - 1 = 2*r - 3*w, w + 2 = 0. Calculate the remainder when r is divided by k.
12
Suppose -3*y + 12 = 3*f + f, 0 = -f - 2*y + 8. Suppose -5*m + f*m + 10 = 0, 2*m - 61 = -w. Let r = -892 - -907. Calculate the remainder when w is divided by r.
12
Calculate the remainder when (-18)/(-189) + 683095/147 is divided by 62.
59
Let w(t) = 4*t**2 + 3*t - 9. Let x be w(-3). Suppose -5*b + 4*v - 9*v = -45, v + x = 2*b. Calculate the remainder when 159 is divided by b.
6
Suppose 0 = -c - 2*h + 428, -138*c + 139*c + 4*h = 422. Let u = -82 - -101. What is the remainder when c is divided by u?
16
Suppose g + 5 = 13. Calculate the remainder when (-2)/(-19) + (-1)/247*-9113 is divided by g.
5
Let y = 1968 - 1199. Calculate the remainder when y is divided by 7.
6
What is the remainder when ((-376)/1128)/(1/(-18171)) is divided by 20?
17
Suppose 0 = 3*j + 4*x - 963, 2*x = -9*j + 7*j + 644. Calculate the remainder when j is divided by 22.
17
Suppose 5*r = 4*n + 281, 4*r - 5*r + 49 = n. Suppose 7925*p = 8007*p - 656. What is the remainder when r is divided by p?
5
Let n = 129 + -42. Let a = -240794 - -240803. What is the remainder when n is divided by a?
6
Suppose -4*t = -2*m + 6*m - 8, 4*t - 3*m = 8. Suppose 5*w - 1505 = -t*b, 3*w = -b + 2*b + 892. What is the remainder when w is divided by 77?
68
Let q be -3 + (-6)/((-8)/4). Suppose -2*j + q = -4. Suppose -v = j*v - 102. Calculate the remainder when 165 is divided by v.
29
Suppose -3*y - 7*h = -410, 280 = -6*y + 8*y - 2*h. Calculate the remainder when y is divided by 9.
4
Let f(z) = -z**3 + 12*z**2 - 7*z + 3. Let h be f(7). Suppose -3*d + h = 3*l - 128, 3*d - 214 = -2*l. Calculate the remainder when l is divided by 19.
18
Suppose -135 = 2*a - i + 28, i = -4*a - 329. Let o = a + 124. Suppose -5*j + o = -33. Calculate the remainder when 87 is divided by j.
12
Suppose -105 = -4*i + 15. Let y(k) = -6*k**2 + 549*k - 35. What is the remainder when y(91) is divided by i?
28
Let z = 13219 - 13127. What is the remainder when 4320 is divided by z?
88
Suppose 4*h - 2*h - 4 = -2*o, -5*h - o + 10 = 0. Suppose -2*l = -3*l + 3*b + 39, 5*l - h*b - 208 = 0. What is the remainder when 118 is divided by l?
34
Let y = -21 + 19. Let c be 3/y + (-378)/(-28). What is the remainder when 43 is divided by (30/9)/(c/54)?
13
Let f(a) = 69*a**2 + 24*a + 3. Calculate the remainder when 717 is divided by f(-1).
45
Let y = 94 + -51. Let q = y + 17. Suppose 3*t - 2*c - 119 = q, -4*c = 3*t - 173. Calculate the remainder when t is divided by 21.
17
Let u be (108/(-81))/(4/(-21)). Suppose -x = -q + 20, -5*q + u*x - 10*x = -132. Calculate the remainder when 55 is divided by q.
7
Let c be (8 - 194)*6/(-9). Suppose 7*l - c = 9*l. Let p = 83 + l. Calculate the remainder when p is divided by 8.
5
Suppose 22*r + 42 = 15*r. Suppose -2*p + 7 = -p. Calculate the remainder when (-95)/(-3) + -1 - 2/r is divided by p.
3
Let f(i) = 2*i**3 - 3*i**2 + 2*i + 3. Let s(a) = -a - 19. Let z be s(-22). Calculate the remainder when 178 is divided by f(z).
34
Let f = 20 - 6. Calculate the remainder when 188595/3195 - (-2)/(-71) is divided by f.
3
Suppose 0 = 8*v - 10*v + 8. Let g be (-7 - -2 - -5)/(v/(-2)). Suppose c + c - 26 = g. What is the remainder when 75 is divided by c?
10
Let l = 31 - 35. Let i(o) = o**2 + 4*o + 3. Let v be i(l). Suppose -2*s - d + 64 = 0, v*d = -4*s + 2*d + 126. Calculate the remainder when s is divided by 17.
14
Let y be 12/120 - (-359)/10. Let p be (-6)/(-4) + 2502/y. Let m = 89 - p. Calculate the remainder when 29 is divided by m.
11
Let n = -3881 + 3897. Let d = 72 - 12. Calculate the remainder when d is divided by n.
12
Let d(t) = -22*t - 323. What is the remainder when d(-41) is divided by 147?
138
Let s(d) = -4*d**2 + 21*d - 80. Let m(c) = -2*c**2 + 10*c - 41. Let q(t) = 5*m(t) - 3*s(t). Calculate the remainder when 42 is divided by q(4).
12
Let p(h) = 8*h**2 - 330*h + 470. Calculate the remainder when p(46) is divided by 10.
8
Let m = -196 - -231. What is the remainder when 3072 is divided by m?
27
Suppose -62*z + 48*z + 56 = 0. What is the remainder when 84 is divided by z?
0
Let i = 91 - 64. Suppose -66144 = -670*y + 358*y. Calculate the remainder when y is divided by i.
23
Suppose -3*v + 4*o + 73 = 0, 0 = -3*v + o + 4*o + 77. Let z(g) = -g + 59. What is the remainder when z(v) is divided by 18?
4
Let c(o) be the third derivative of o**4/4 + 5*o**3/2 - 9*o**2 - 1. Calculate the remainder when c(13) is divided by 16.
13
Let q = 29 + -25. Suppose b = q - 0. What is the remainder when 7 - ((-30)/(-6) - 4) is divided by b?
2
Let w(i) = -13*i - 43. What is the remainder when w(-6) is divided by (-3 + 59)/(1 - -1)?
7
Let q(f) = -13*f + 9. Let u be q(-10). Suppose -4*o + 318 = 2*a, 2*o + 994 - u = 5*a. Calculate the remainder when a is divided by 34.
33
Suppose 0 = 415*z - 410*z + 2155. Let l = z + 491. Calculate the remainder when 113 is divided by l.
53
Let r(h) = h**2 + 8*h - 1436. Suppose 5*t - 5 = 20. Suppose 2*i = -u + 38, 98 = -0*i + t*i + 4*u. What is the remainder when r(-43) is divided by i?
15
Suppose 25*c + 2128 = 137*c. What is the remainder when 4101 is divided by c?
16
Suppose 348*j = -5*q + 349*j + 3418, -j = -7. Calculate the remainder when 1400 is divided by q.
30
Suppose -t + u + 108 = 15, 5*t - 465 = -2*u. Suppose 597 - t = 4*h. Calculate the remainder when h is divided by 65.
61
Let j(k) = 52*k + 237. Let q be j(-6). Let i = 152 + q. What is the remainder when 1152 is divided by i?
74
Let q(r) = 2*r**3 + 5*r**2 - r - 20. Let c be q(-4). Let t = c + 82. Calculate the remainder when 88 is divided by t.
16
Let z(d) = -d + 5. Let c be z(-19). Suppose 50*f - 52*f = -c. Calculate the remainder when 215 is divided by f.
11
What is the remainder when 298 is divided by ((-768)/(-32))/(88/(-20) + 5)?
18
Let r = 492 + -424. Let n = 2 - -1. What is the remainder when r is divided by 15 - (-3 - (n + -3))?
14
Suppose -16 = -5*x + 4*r, -2*x + 14*r + 12 = 11*r. Suppose -7*w - 24 + 276 = x. Calculate the remainder when 124 is divided by w.
16
Let t(x) = -11*x - 101. Calculate the remainder when t(-33) is divided by 239.
23
Suppose 7*f + 38 - 458 = 112. Calculate the remainder when f is divided by 46.
30
Let j(h) = 46*