*s + 40*s. What is the remainder when 407 is divided by q?
2
Let m(f) = -2*f + 29. Let p be m(8). Suppose -12*n = -p*n + 23. Suppose -n = -10*y + 157. Calculate the remainder when 69 is divided by y.
15
Suppose 13*p + 1543 = 1348. Let t = -93 - -159. Let h = t + p. Calculate the remainder when h is divided by 19.
13
Suppose a - 1593 = -4*n, -4*a + 509*n - 505*n = -6232. Calculate the remainder when a is divided by 158.
143
Suppose -358*x + 249*x = -16677. What is the remainder when x is divided by 80?
73
Let d(z) = 260*z + 272. Calculate the remainder when 2091 is divided by d(-1).
3
Let z(r) = -4*r**3 - 5*r**2 - 30*r - 98. What is the remainder when z(-5) is divided by 68?
19
Let j(u) = -u**3 + 8*u**2 - 12. What is the remainder when j(7) is divided by 25?
12
Let a(o) = 36*o - 28. Let k(q) = 12*q - 10. Let t(f) = 6*a(f) - 17*k(f). What is the remainder when 76 is divided by t(2)?
24
Let j(r) = r**3 + 16*r**2 - 19*r - 12. Let h(m) = 8*m**3 - m**2 + 2*m - 1. Suppose 4*z - 1 = 7. What is the remainder when h(z) is divided by j(-17)?
19
Suppose 299 - 1449 = -50*c. Let a = 72 + 12. What is the remainder when a is divided by c?
15
Suppose -99*b + 102*b = 4*k + 2426, -b + 790 = -4*k. Calculate the remainder when 2458 is divided by b.
4
Let f = -180 + 189. Let q be 18/(-8) + 2 - 567/(-108). Suppose 3*r = 2*j + 76, -q*j + j = -2*r + 64. What is the remainder when r is divided by f?
4
Let h(g) = -5*g**2 + 2*g - 1. Let r be h(1). What is the remainder when (17820/385)/(r/(-14)) is divided by 41?
39
Let x = -46 - -49. Suppose x = 3*a - 9. Suppose -a*l + 142 = -3*j, 0 = -4*l - 0*l + 2*j + 140. Calculate the remainder when l is divided by 10.
4
Let p(s) = s**3 + 3*s**2 - 9*s - 16. Let q be p(-4). Suppose 2*k = q*v - 1274, -v - k + 83 + 237 = 0. Calculate the remainder when v is divided by 10.
9
Suppose -26 = -3*n + 4*l, 2*n - 10*l + 8*l = 20. What is the remainder when 387 is divided by n?
9
Suppose -18 = -4*o + 6. Let a = 86 - 301. Let t = -205 - a. Calculate the remainder when t is divided by o.
4
Let v(u) = 39*u - 15. Suppose 52*c - 6112 = 36*c. What is the remainder when c is divided by v(1)?
22
Suppose 12201 = -28*s + 32473. What is the remainder when s is divided by 357?
10
Let b(g) = g**3 + 5*g**2 + 3*g. Let p be b(-4). Let t(j) = 4*j**2 - 15*j + 42. What is the remainder when t(p) is divided by 16?
14
Suppose 4*i + 13 - 34 = -z, 0 = -2*z - 2*i + 66. Let b = -9 + z. Let x = b + -21. Calculate the remainder when x is divided by 4.
3
Suppose 0 = -2*k + 8*k. Suppose -d = k, -2*s + 4*d = 3*d - 40. Let q(m) = -7*m + 1. What is the remainder when s is divided by q(-1)?
4
Suppose k - 175 = -5*w, 17*k = -w + 13*k + 54. Suppose -a + 1 = -2*s + 5, -2*s + w = 4*a. What is the remainder when 6 is divided by a?
0
Let p = -173 - -173. Suppose -3*c = p, -28 + 94 = 3*r + 2*c. Calculate the remainder when 84 is divided by r.
18
Let q(p) = 43*p**2 + 8*p - 4. Let i be q(-4). Suppose 2*n - i = -3*n - 3*o, -3*o = 4*n - 524. Calculate the remainder when n is divided by 27.
20
Let k(r) = -r**2 + 219*r + 124. What is the remainder when k(0) is divided by 16?
12
Let u(o) be the second derivative of -o**5/20 + o**4/6 - o**3/6 - o**2/2 - o. Calculate the remainder when 19 + -22 + (-1440)/(-40) is divided by u(-2).
16
Let z = 24 + -10. Let a(j) = 2*j**2 - 38*j + 108. Let b be (-6 + 5 - -2)*17. What is the remainder when a(b) is divided by z?
12
Suppose 0 = -4*c + 3*c + 324. Let v be 1/1 - -2*1. Suppose j + 8*p - 12*p = 51, -5*j + c = v*p. What is the remainder when j is divided by 17?
12
Let a = 467 - 453. What is the remainder when 234 is divided by (-200)/(-14) - 4/a?
10
Let n(c) = 2*c. Let h be (0 + -18)*8/16. Let p(f) = f**2 + 8*f - 7. Let b be p(h). What is the remainder when 6 is divided by n(b)?
2
Let o = 84 - 82. Suppose 3*p - 544 = -o*s, -2*s + 3*p = 3*s - 1360. Calculate the remainder when s is divided by 11.
8
Suppose 2*l - 4*b - 1210 = 0, -641*b + 638*b - 2430 = -4*l. Calculate the remainder when l is divided by 51.
48
Let o(w) = 24*w + 40. Let a be o(0). Suppose 180 = 10*j - a. Calculate the remainder when j is divided by 8.
6
Suppose 39*b + 270 = 57*b. Calculate the remainder when 733 is divided by b.
13
Let c = 156 + -155. Let k be (-4)/(-1) - 0/6. Suppose 0*y = -2*y - 4, -k*r + 10 = 3*y. What is the remainder when r is divided by c?
0
Suppose -2*g + 24 + 116 = 2*q, 0 = 15*g - 2*q - 1067. Calculate the remainder when 567 is divided by g.
70
Suppose -p - 351 = 2*u - 7*u, 2*u - 5*p - 122 = 0. What is the remainder when 489 is divided by u?
63
Suppose -159*n = 120*n - 26784. What is the remainder when n is divided by (-198)/(-15)*(-10)/(-4)?
30
Let w = 140 - 100. Let z(c) = 95*c**2 - 9*c + 16. Let u(q) = q**2 + q + 3. Let j(t) = -5*u(t) + z(t). Calculate the remainder when j(1) is divided by w.
37
Suppose 0 = -8*f + 3*f + 4*n + 1988, -3*n = f - 409. Suppose -5*g + 1215 = f. Calculate the remainder when g is divided by 91.
72
Suppose -5*r + 20 + 5 = 5*h, 0 = -2*h + 6. Suppose y = -x + 85, 4*x + x - r*y = 453. What is the remainder when x is divided by 9?
8
Suppose -18*a = 2*t - 15*a - 444, 4*a = -t + 212. Suppose 3*b - 228 = -2*v, 37*b + 4*v = 40*b - t. Calculate the remainder when b is divided by 16.
12
Suppose 0 = -9*l + 69 + 12. Suppose -14 = -3*p + 7. Suppose 3*z - p*z = 4*m - 156, 2*m - 92 = 5*z. What is the remainder when m is divided by l?
5
Let x = 19011 + -16906. Calculate the remainder when x is divided by 1051.
3
Calculate the remainder when 1390 is divided by ((-4)/10)/(3/7 - 3297/7350).
10
Let f(w) = 8*w**2 - 236*w + 265. What is the remainder when 149 is divided by f(29)?
0
Let n = -3593 - -3667. What is the remainder when 206 is divided by n?
58
Let m = -2646 - -2667. Calculate the remainder when 227 is divided by m.
17
Let a(b) be the first derivative of 14 + 2*b**2 - b + 7/4*b**4 - 2/3*b**3. Calculate the remainder when a(1) is divided by 8.
0
Suppose 3*o = -3*d - 12, 4*o - o + 5*d + 22 = 0. What is the remainder when 386 is divided by (10 - -37) + (-4)/o?
42
Let i(f) = -5*f**2 - 110*f - 87. What is the remainder when 156 is divided by i(-20)?
43
Let z(b) = b**2 - 24*b - 3. Suppose 0 = -2*t + 5*p + 1233, -2*t - 18*p + 1232 = -22*p. Calculate the remainder when t is divided by z(25).
20
Let v = -98 - -103. Suppose 0 = -v*u + 7*u + 6, u + 53 = 2*y. Suppose -c + 5*f = -y, 0 = 6*f - 4*f - 4. What is the remainder when 67 is divided by c?
32
Let c be ((-2)/(12/(-9)) + 11)*-10. Let u = c + 193. Suppose -v = u - 126. What is the remainder when v is divided by 30?
28
Let u be 0/((-6)/3 + 0). Calculate the remainder when (-2*5/(-25) + u)*375 is divided by 14.
10
Suppose 0 = -12*n + 11*n + 4*v + 28, 0 = 4*n - 2*v - 28. What is the remainder when 32 is divided by n?
0
Suppose 6*b = 5*b - 6. Calculate the remainder when 555 is divided by (-1888)/(-64) - b/4.
28
Let h = 4679 + -4649. What is the remainder when 209 is divided by h?
29
Suppose 8*t + 1554 = 13*t + 4*x, x = -4*t + 1241. What is the remainder when t is divided by 5?
0
Let c = -758 + 770. Suppose -12*m + 48 = -c. Calculate the remainder when 10*(2 - (-1)/(-1)) is divided by m.
0
Let r = 5 - 0. Suppose 4*p + 5*z = 5, -r*p + 5*z = -0*p - 40. Suppose t - 56 = p. Calculate the remainder when t is divided by 16.
13
Suppose -j + 14 + 5 = 0. Let q(z) = -z**3 + 18*z**2 + 21*z + 11. Let p be q(j). Suppose k - p = 10. Calculate the remainder when k is divided by 30.
29
Let s = 3874 + -3776. Calculate the remainder when 499 is divided by s.
9
Let w(v) = -20*v + 2. Let h be w(-3). Let d = h + 0. Suppose 3*k = -2*g - k + d, 0 = 2*g + 5*k - 57. What is the remainder when 204 is divided by g?
40
Suppose n = 6*p - 313, n - 10 = -11. What is the remainder when 1061 is divided by p?
21
Suppose 32*j - 3129 = 7. What is the remainder when 392 is divided by j?
0
Suppose 2*m - b = -m + 472, m + 2*b - 162 = 0. Suppose -2*v + m = -0*v. Suppose -18*l + 48 = -15*l. What is the remainder when v is divided by l?
15
Calculate the remainder when (-112)/(-2) + -3 - (0/1)/2 is divided by 33.
20
Suppose 43*x = 286 + 58. Let u = -72 + 107. What is the remainder when u is divided by (5 + -3)*(-2)/(-4)*x?
3
Let d = -28 - -44. Let j = 176 + -158. Suppose j*g - 3*g - 435 = 0. Calculate the remainder when g is divided by d.
13
Suppose