0). Suppose 2*v + 2*o = 3 + 13, -5*v + 5*o + k = 0. What is the remainder when 10 is divided by v?
3
Let p = 44 - -116. Calculate the remainder when p is divided by 18.
16
Suppose 2*m - 12 = -2*p, -2*p - 3*m + 17 = -0*m. Calculate the remainder when 5 is divided by (120/140)/(34/28 - p).
1
Suppose 3*y + 4*y = 35. Suppose -160 = -y*p - a, 0*p + 4*a - 46 = -2*p. What is the remainder when 131 is divided by p?
32
Suppose 2*o - 149 = -q, -1 = 2*o + 9. Calculate the remainder when q is divided by 74.
11
Let p = 472 - 268. What is the remainder when 35 is divided by (p/(-17))/(3/(-2))?
3
Suppose 86 = -5*l + 276. Suppose 43*i = l*i + 565. What is the remainder when i is divided by 13?
9
Let h(u) = -13*u + 2. Let g(v) = -v. Let s(a) = 24*g(a) - 3*h(a). Calculate the remainder when s(5) is divided by 24.
21
Let u = 903 - 695. What is the remainder when u is divided by 21?
19
Suppose 2 = -2*a + 6. Let g(h) = -1 - a*h + 4*h - 3*h. Calculate the remainder when 30 is divided by g(-9).
6
Let t = -457 - -661. What is the remainder when t is divided by 16?
12
Let d(j) = -27 - j + 2*j**2 - 2*j + 13. Let i be d(9). Suppose -28 = -v - 3*k - 2*k, 3*k + i = 2*v. What is the remainder when v is divided by 28?
25
Let p be 44 + (-1)/((-3)/6). Let c = 26 - p. Calculate the remainder when 25 is divided by 3*(c/(-6) - 1).
4
Calculate the remainder when (5 - 10/(-5)) + -4 + 200 is divided by 17.
16
Let x = 354 - 348. What is the remainder when x is divided by 2?
0
Let s(y) = 3*y**3 - 41*y**2 - 13*y + 14. What is the remainder when s(14) is divided by 22?
6
Suppose 0 = -k + 3 + 2. Suppose -v = -2*v - 2*r + 47, 0 = k*v - r - 224. Calculate the remainder when 177 is divided by v.
42
Suppose 1128 = 18*k - 10*k. Calculate the remainder when k is divided by 21.
15
Suppose 7 = 5*o - 3*d - 2, 0 = -o - 2*d + 7. Let y = 3 - 5. Calculate the remainder when 20/y*1/(-2) is divided by o.
2
Suppose -3*w + 12 = -54. Let f = 38 + -25. Let v = f + -5. What is the remainder when w is divided by v?
6
Let d(f) = -f**3 + 5*f**2 + 5*f + 8. Let w be d(6). Let a(l) = -2*l. Let n be a(-1). Let y = n + w. Calculate the remainder when 15 is divided by y.
3
Let f = -199 + 457. What is the remainder when f/18 + (-1)/3 is divided by 4?
2
Suppose 2*d + 30 + 48 = 4*l, -l + d + 17 = 0. Calculate the remainder when 114 is divided by l.
4
Let g = -39 - -43. Let m(v) = 20*v + 8. What is the remainder when m(g) is divided by 45?
43
What is the remainder when (6/(-30))/1 + 96/5 is divided by 13?
6
Suppose k - 51 - 55 = 0. Suppose 0 = -3*r + t + k, -4*t = 4*r - 3*r - 57. Calculate the remainder when r is divided by 11.
4
Suppose 0 = 2*l + 2*l - 80. Let r = 15 + -9. Suppose -a + r*a = l. Calculate the remainder when 13 is divided by a.
1
Suppose 14*b - 189 = 11*b. What is the remainder when 216 is divided by b?
27
Suppose 61 + 134 = 5*k. Suppose b = 4*b - 123. Let m = -21 + b. What is the remainder when k is divided by m?
19
Let v = 87 - 10. Calculate the remainder when v is divided by 39.
38
Let k(q) = 2*q**2 - 52*q - 225. What is the remainder when 565 is divided by k(-4)?
10
Let w(z) = z**3 - 7*z**2 + z + 6. Let m be w(5). Let o = m - -78. Suppose 5*k - o - 31 = 0. What is the remainder when 41 is divided by k?
13
Suppose 0 = 3*f - 7 + 1. Suppose -3*t = 4*l - 491, -l - f*t = 2*l - 368. Suppose -2*x = -0*x - l. What is the remainder when x is divided by 21?
19
Suppose 3*l - 1034 = 5*w + 324, -5*l = w - 2226. Calculate the remainder when l is divided by 56.
54
Let m = -336 + 504. Calculate the remainder when m is divided by 17.
15
Suppose -5*f + f = 2*g - 224, -3*g + 291 = -3*f. Let x = g + -84. Calculate the remainder when 71 is divided by x.
17
Suppose -94*u + 2268 = -31*u. Suppose -2*y + 74 + 132 = -2*j, -4*j = -3*y + 305. What is the remainder when y is divided by u?
35
Suppose -4*t + t - 4*a + 55 = 0, 23 = 3*t - 4*a. Suppose l - 4*j + t = 0, 8*l + j = 7*l + 7. What is the remainder when 3 is divided by l?
0
Suppose w - 51 = 2*z, 4*w - 156 = -10*z + 6*z. Calculate the remainder when 85 is divided by w.
42
Let i = 229 - 168. Calculate the remainder when i is divided by 40.
21
Let v be 0 - (-1 + 6/(-2)). Suppose 20 - 96 = -v*m. Calculate the remainder when m is divided by 10.
9
Suppose 27*y = 11*y + 304. What is the remainder when 90 is divided by y?
14
Let u(j) = j**2 + 16. Suppose 5*w = 15, w - 285 = 4*n - 7*n. What is the remainder when n is divided by u(0)?
14
Let k(f) = 8*f - 2. Let c be k(5). Suppose 0*p - 18 = -i + 4*p, 0 = 4*i + 4*p - 32. Calculate the remainder when 12/(-3)*c/(-4) is divided by i.
8
Suppose 0 = 5*x - 4*x + 10. What is the remainder when (72/(-42))/((-2)/7) is divided by ((-6)/4)/(5/x)?
0
Suppose -10*y + 653 + 677 = 0. Calculate the remainder when y is divided by 15.
13
Suppose 0 = 5*j + 3*d - 115, -2*j - 2*d = 2*j - 90. Suppose 2*r - 5*s = j, -7 = -3*r + s - 5*s. What is the remainder when 47 is divided by r?
2
Suppose -84 = -4*w + 5*z, -2*w + 3*z + 23 = -17. Calculate the remainder when 431 is divided by w.
15
Let a = -5 - -117. What is the remainder when a is divided by 20?
12
Suppose -a + 4*z + 13 = 0, 5*z - 1 + 19 = a. Calculate the remainder when 20 is divided by 3/(2 - (-11)/a).
6
Suppose 5*b = -w + 47, 0*w - 38 = -5*b - 4*w. Let s(c) = c**2 + 3*c + 2. Let g be s(-2). Let i = 6 - g. Calculate the remainder when b is divided by i.
4
Let g = -494 - -599. Calculate the remainder when g is divided by 3.
0
Let w(u) = 5*u + 118. Suppose -4*q + 16 + 432 = 0. What is the remainder when q is divided by w(-19)?
20
Suppose s + 26 = 58. What is the remainder when 53 is divided by s?
21
Let o(z) = z**2 - 18*z - 42. Calculate the remainder when o(25) is divided by 28.
21
Suppose -x + 51*v = 54*v - 19, 0 = -5*x + 2*v + 95. What is the remainder when 69 is divided by x?
12
Suppose -38*k + 1095 - 335 = 0. What is the remainder when k is divided by 5?
0
Let r(y) = y**3 - 10*y**2 + y - 6. Let s be r(10). Suppose 0 = -s*x - 4*m + 48, 6*m = -4*x + m + 44. What is the remainder when 30 is divided by x?
14
What is the remainder when ((-207)/(-69))/(3/469) is divided by 53?
45
Let y be 794/4 + (-6)/(-4). Suppose 10*n - y = 310. What is the remainder when n is divided by 14?
9
Let l = -14 - -24. Suppose 187 = 5*c - 4*y, -c + 3*y + 34 - 1 = 0. Let n = c - 10. What is the remainder when n is divided by l?
9
Let v be 9/2*222/9. Suppose 2*i + v = 5*i. What is the remainder when i is divided by 19?
18
Let x = -17 + 16. What is the remainder when 30 is divided by x*4/(-4)*11?
8
Let s(n) = 44*n + 82. What is the remainder when s(12) is divided by 51?
49
Let w = -147 + 200. Calculate the remainder when 156 is divided by w.
50
Suppose 0 = 27*i - 2*i - 600. Calculate the remainder when 54 is divided by i.
6
Let i(y) = 25*y - 721. What is the remainder when 18 + -3 + 2/(-1) is divided by i(29)?
1
Let t(q) = q + 6. Let x be t(-3). Suppose 39 = -4*a - x*l + 208, l - 43 = -a. Calculate the remainder when a is divided by 11.
7
Let b = 10 + -6. Suppose l = b*l - 264. Calculate the remainder when l is divided by 18.
16
Let q be 20/(-4)*3/(-5). Suppose -3*r + 2*d + 206 = 0, 3*r = -0*r + q*d + 210. Let b(n) = 19*n - 135. What is the remainder when r is divided by b(8)?
15
Suppose 34*r - 28 - 3508 = 0. What is the remainder when 621 is divided by r?
101
Calculate the remainder when (-1049)/(-1) - 38/(-19) is divided by 39.
37
Let j(b) = -8*b**2 - 71*b + 27. What is the remainder when j(-8) is divided by 17?
15
Let d(o) = -7*o - 9. Let r be d(-2). Suppose 0 = -r*b + 100 + 125. Calculate the remainder when 178 is divided by b.
43
Suppose -11*t + 162 + 157 = 0. Calculate the remainder when t is divided by 11.
7
Calculate the remainder when 28 is divided by 8/44 - (-458)/22.
7
Let z = -66 - -187. Let j = -46 + z. Suppose -2*m = -h - m + 21, -2*m + 140 = 5*h. What is the remainder when j is divided by h?
23
Let t(b) = 1 + 7*b**2 + 4*b - 3*b**2 + 1 + 9. Let p(v) = -v**2 + v. Let k(o) = 5*p(o) + t(o). What is the remainder when 74 is divided by k(8)?
17
Let v be (1 + 2)*(61 - 4). Let h = -136 + v. Calculate the remainder when 207 is divided by h.
32
Let i = 0 + 4. Suppose 5*v + 5*m = 50, 21*v + 32 = 26*v - m. Let n(c) = -c**3 + 5*c**2 + 18*c - 15. What is the remainder when n(v) is divided by i?
1
Let p be -39*((-172)/(-60