pose 3*v + 2 = 2*c + 6, -3*v - 2*c = -20. Let l be (54 - -3 - v) + -5. Let d = l + -22. Calculate the remainder when 74 is divided by d.
22
Suppose -4*k - t = -15, -7*k + 5*k + 5*t - 9 = 0. Suppose 2*i = -3*x + 188, -k*x = -3*i - 160 - 8. Calculate the remainder when 236 is divided by x.
56
Suppose 155 - 72 + 309 = 14*a. Suppose 0 = -3*u - 2*u + 50. Calculate the remainder when a is divided by u.
8
Let b = -2443 + 2467. What is the remainder when 185 is divided by b?
17
What is the remainder when 1318 is divided by -9 + (17 - 10 - -35)?
31
Calculate the remainder when (-6 - -1)/((-345)/55821) is divided by 50.
9
Suppose -19*m + 5*x = -24*m + 830, m - 190 = -5*x. What is the remainder when 459 is divided by m?
139
Let v = -19 + 1. Let j be 3*(27/(-18))/(18/32). Let i = j - v. What is the remainder when 39 is divided by i?
9
Suppose 137*h + 135*h + 610 = 282*h. Calculate the remainder when 1649 is divided by h.
2
Let x = -2880 + 2954. Calculate the remainder when 6139 is divided by x.
71
Let i(j) = 2*j**3 + 57*j**2 + 22*j - 163. What is the remainder when 1027 is divided by i(-28)?
2
Suppose -2*s + 27 - 15 = 3*q, -5*s - 2*q + 41 = 0. Calculate the remainder when s is divided by (-1 - 2) + (-2 - -5 - -3).
0
Let h(i) = i**2 + 35*i + 109. Let t = -212 + 209. Calculate the remainder when 50 is divided by h(t).
11
Suppose 11*x - 5846 = -1369. Suppose 0 = -8*n + x + 225. Calculate the remainder when n is divided by 7.
2
Calculate the remainder when 0 - -299 - (0 + 14 + -11) is divided by 146.
4
Let o be (-15)/(-3) + -1 - -16. Suppose 0 = 5*r + 5*r - o. Suppose -3*t + 51 = -r*j, t - 2*t - 4*j = -3. Calculate the remainder when t is divided by 4.
3
Let w be 2*(21/15 + 2/(-5)). Suppose 7*u + 53 = 2*n + 4*u, 0 = w*n + 5*u - 77. What is the remainder when n is divided by 4?
3
Let a(h) = -h**2 - 16*h - 13. Let g be (4/2)/((-8)/16). What is the remainder when 133 is divided by a(g)?
28
Let w = 28 - 7. Let b(j) = 5*j**2 + 18*j + 13. Let n be b(-4). Let t = 102 + n. What is the remainder when t is divided by w?
18
Let f(o) = -20*o - 12. Suppose 14 = -a + 4*p - 3, 5 = 3*a + 2*p. Let c(y) = 5*y - 2. What is the remainder when c(5) is divided by f(a)?
7
Let a(j) = 154*j + 504. What is the remainder when 1047 is divided by a(-3)?
39
Let t(p) = -43*p - 35. Let q(l) = -21*l - 17. Let o(y) = -7*q(y) + 4*t(y). What is the remainder when o(-6) is divided by 13?
12
Suppose 0*z - 5*z = 0. Suppose -4*o + 375 = -o + 5*l, z = -4*l. Suppose u - 40 = i, -84 = -5*u + 2*i + 122. What is the remainder when o is divided by u?
41
Suppose -12*f - 541 = 2855. Let w = f - -385. Calculate the remainder when w is divided by 15.
12
Let s be 3 - (-3424)/28 - 8/28. Suppose -s = -3*t - 5*f, -2*f = 4*t - 4*f - 184. Calculate the remainder when 51 is divided by t.
6
Suppose x + 3 = -7. Calculate the remainder when 5 + 7/(-42) + 0 + 1785/18 is divided by (14/(-4))/(1/x).
34
Suppose 132*j - 101*j - 4340 = 0. Suppose -14*n + j = -7*n. Calculate the remainder when 77 is divided by n.
17
Suppose -3*o + 15 = 0, 26*v - o + 47 = 27*v. Let l(b) = -248*b**3 + b**2 + b + 2. What is the remainder when l(-1) is divided by v?
40
Suppose -22*q = -15*q - 322. Suppose -5*a + b = -13 - q, 2*b - 26 = -2*a. Let g = 63 - 30. Calculate the remainder when g is divided by a.
9
Suppose 0*u = -u + 5. Calculate the remainder when 3/(27/(-4)) - (-2800)/63 is divided by 46/(-4)*(u + -7).
21
Let p = 18 - 24. Let q(o) = o**2 + 5*o + 3. Calculate the remainder when -3*1/(-6) + 174/4 is divided by q(p).
8
Suppose 3*m - 4*z - 214 = m, 4*z = 4*m - 432. Calculate the remainder when m is divided by (-60)/(10/2) + 21*(33 - 32).
1
Suppose 16 = -5*h - 2*r, -4*h + 3*h - 5*r = -6. Let s be -3 + 4/h + 93. Calculate the remainder when (s - -2) + (-2 - 4/(-1)) is divided by 24.
21
Let q = 168 + -176. Calculate the remainder when 309 is divided by (-8)/(-1) - 8 - q.
5
Let p = 3618 - 3604. Calculate the remainder when 200 is divided by p.
4
Let k(s) = 115*s**3 + 5*s**2 + 7. What is the remainder when k(2) is divided by (3 - -3) + -6 + 50?
47
Let c(d) = 57*d + 5187. Calculate the remainder when c(-84) is divided by 396.
3
Let l = 1455 - 1367. What is the remainder when l is divided by (-9)/(-15)*25*1?
13
Calculate the remainder when (-32194)/(-58) - 152/2204 is divided by 131.
31
Let c(r) = -88*r - 475. What is the remainder when 152 is divided by c(-6)?
46
Let w = -5585 - -6128. Calculate the remainder when w is divided by 184.
175
Let u(t) = -11*t + 93. Let j be u(7). Suppose -j*y = -135 - 73. Calculate the remainder when 75 is divided by y.
10
Let a(h) = 2*h**2 - 65*h - 123. Let g be a(36). Suppose 2*m - g = j, 5*m + 5*j - 312 = 4*j. Calculate the remainder when 122 is divided by m.
59
Let y(q) = 20*q**3 - 9*q**2 + 55*q - 146. Calculate the remainder when y(3) is divided by 30.
28
Let y(h) = 19*h + 8. Let z(k) = -k. Let u(c) = -y(c) + 2*z(c). Let m be u(-3). Suppose 43 - m = -4*j. Calculate the remainder when 9 is divided by j.
0
Let m be 40/6*(-294)/(-4). Let n = 686 - m. Calculate the remainder when n is divided by 29.
22
Let y(x) = 15*x + 67. Let s be y(-5). Let o(v) = -10*v - 63. Calculate the remainder when 2/(31/(-33) - -1) is divided by o(s).
16
Suppose 10*q = -375 + 1335. Let y = q - -168. Calculate the remainder when y is divided by 53.
52
Let t be 238/8 + 2/8. Suppose 2*o - t - 20 = 0. Suppose 4*n - 407*x = -402*x + 29, -77 = -7*n + 5*x. What is the remainder when o is divided by n?
9
Let o(y) be the first derivative of 89*y**2/2 + 456*y - 120. Calculate the remainder when 75 is divided by o(-5).
9
Suppose 48*q - 380 = 1924. What is the remainder when 713 is divided by q?
41
Suppose 2*f + 4 = 5*s, 9 - 2 = f + 2*s. Suppose -f*d + 129 = -135. Calculate the remainder when d is divided by 45.
43
Suppose -5*m + 4*b + 5 = 0, 5*b + 0 = -m + 1. What is the remainder when m + (4 - 7) + 189 is divided by 38?
35
Let h be 51*-3*(-5)/45. Suppose -12*a + h = -127. Suppose -2 = -n + a. What is the remainder when 69 is divided by n?
13
Let o(w) = -5*w**3 - 10*w**2 + 3*w - 5. What is the remainder when 13358 is divided by o(-3)?
28
Let l = 563 - 484. Let w(k) = k**2 + 5*k + 5. What is the remainder when l is divided by w(-5)?
4
Suppose -3*u + 8 = -19. Suppose 0 = 13*r - 11*r + 36. Calculate the remainder when r/(-1 + (-3)/(-12)) is divided by u.
6
Let z(n) = n**2 - 20*n - 686. Calculate the remainder when z(46) is divided by 127.
2
Let a(v) = v**2 + 4. Let q(i) = -5*i**2 - 16. Let u(d) = -9*a(d) - 2*q(d). Let l = -5335 - -5358. What is the remainder when l is divided by u(-4)?
11
Let y be (-2)/8 - (-62)/(-8). Let r(v) = -v**3 - v**2 + 3*v + 6. Let k be r(-3). Calculate the remainder when k/(-20) + (-86)/y is divided by 4.
2
Let q(r) = r**2 - 2*r + 8. Let f(y) = -y**3 - 17*y**2 + 15*y - 46. Let b be f(-18). Suppose -134 + b = -7*n. Calculate the remainder when q(6) is divided by n.
14
Let q(g) = -2*g + 3. Let k be q(0). Let x be ((-37)/k)/(3/810*6). Let z = -387 - x. What is the remainder when z is divided by 13?
12
Suppose -69*m = -f - 67*m + 829, 3228 = 4*f + 3*m. What is the remainder when f is divided by 188?
61
Let l = 75 + -49. Suppose f = 387 - 383, -4*a = -5*f - 12. Calculate the remainder when l is divided by a.
2
Suppose 62*z - 30 = 57*z. Suppose -5*s = 2*y + 2, 5*y - z*s + 3*s - 57 = 0. Calculate the remainder when 476 is divided by y.
8
Suppose 4*n + 392 - 248 = 0. What is the remainder when 50 is divided by ((-95)/57)/(2/n*1)?
20
Suppose 175*v - 172*v = -c + 374, -4*c = -3*v - 1451. Calculate the remainder when c is divided by 23.
20
Let l = -4275 - -4334. What is the remainder when 123 is divided by l?
5
Suppose -3*b = -b - 6. Suppose -7*t + 44 = b*v - 8*t, v + 5*t = 20. Suppose 3*p - 118 = -34. Calculate the remainder when p is divided by v.
13
Suppose 13*t - 493533 = -63*t + 414363. Calculate the remainder when t is divided by 29.
27
Suppose 0 = -i - 6 + 13. Let q(r) = -r**3 + 12*r**2 - 9*r - 7. Let p = 117 - 106. What is the remainder when q(p) is divided by i?
1
Suppose -d + 3*k = -5, -13*k + 9 = 3*d - 16*k. What is the remainder when 3571 is divided by d?
1
Let z be 6/51 + 312/(-51). What is the remainder when 36 is divided by (-176)/(-22) - z/(-2)?
1
Suppose 11 = z - 12. Suppose -5*p + 2*o + 48 = 0, 3*o + 28 = p - 2*o.