4*i + b, 9 = 5*l + 3*i - 16. Suppose l*p = -4*u + 6, u + 4 = 3*u + 2*p. Calculate the remainder when 11 is divided by u.
3
Suppose -4*r + 225 = -l, 0 = 4*l - 0*l + 20. Let k = 68 - r. What is the remainder when 24 is divided by k?
11
Let j = 24 + 3194. What is the remainder when j is divided by 70?
68
Let i = -64 - -138. Calculate the remainder when i is divided by 15.
14
Suppose -5 - 11 = -4*g. Let m = g - 4. Suppose -v = -m*v - 9. Calculate the remainder when 16 is divided by v.
7
Let r(p) = -p**2 + 8*p - 8. Let h be r(6). Let z be (-1)/(3/(1*-15)). Suppose g = -z*y + 6*g + 50, 2*y - 26 = h*g. What is the remainder when y is divided by 4?
3
Suppose -1 = 2*x - 5. Suppose 3*y - r - 18 = 5, x*y - r - 14 = 0. Suppose -4*w - 295 = -y*w. Calculate the remainder when w is divided by 20.
19
Suppose 3*z + 0*z - 11 = y, z + 5 = -4*y. Suppose 4*c - z*k + 22 = 74, 3*c + 5*k = 39. Calculate the remainder when 46 is divided by c.
7
Let f = -48 - 11. Let y = 61 + f. What is the remainder when 12 is divided by y?
0
Suppose -15*d + 3483 = 12*d. What is the remainder when d is divided by 45?
39
Suppose -2*n + 4*r - 12 = 0, 0 = -4*n + 2*n + r. Let i(z) = z + n + 3 + 3*z + 0. Calculate the remainder when i(6) is divided by 6.
5
Let i(u) = u**2 - 11*u - 70. Let q(o) = 5*o**2 - 8*o - 12. Calculate the remainder when i(20) is divided by q(-3).
53
Let b = -842 - -918. What is the remainder when 910 is divided by b?
74
Suppose -3*h = 4*j - 378, -388 = -4*j - 84*h + 86*h. Calculate the remainder when j is divided by 26.
18
Let v be 0/2 - 26*-7. Suppose q = -5*w + v, -2*q = q + 9. Calculate the remainder when w is divided by 19.
18
Let u be ((-15)/10)/((-1)/(-54)). Let a = 142 + u. Let q(m) = 20*m**3 - m**2 - m + 3. Calculate the remainder when a is divided by q(1).
19
Suppose -6*k + 3*k = -15. Suppose 5*a = k*y + 40 + 75, a - 23 = 2*y. Let v(u) = -u**3 - 7*u**2 - 2*u - 2. Calculate the remainder when a is divided by v(-7).
11
Suppose 5 = -4*b - 135. Let u = -31 - b. Suppose u*p - 79 = 9. What is the remainder when 41 is divided by p?
19
Suppose 4*q + 21 + 39 = 0. Let v = q + 49. What is the remainder when v is divided by 19?
15
Let m(a) = -11*a - 73. What is the remainder when 283 is divided by m(-11)?
43
Let a = 22 + -9. Suppose 38 = 5*x - 137. Suppose g = a + x. What is the remainder when g is divided by 10?
8
Let k = 665 + -425. What is the remainder when k is divided by 49?
44
Suppose -126 = -15*k + 13*k. Let m = 92 - 75. What is the remainder when k is divided by m?
12
Suppose 2*m = v + 2, 2*v = -9*m + 6*m + 24. Suppose -5 = -i - 3, 0 = s + 2*i - 6. Suppose 0 = x + s - v. What is the remainder when 8 is divided by x?
0
Suppose -2*p + 204 = -2*h, -5*p - 5*h - 167 = -647. Suppose 5*s - 132 = s + 2*f, 180 = 5*s + 5*f. What is the remainder when p + -2 - (-2 + -2) is divided by s?
33
Suppose -2*q + 170 + 222 = 0. Let n = q + -114. What is the remainder when n is divided by 28?
26
Let j = 1563 - 1467. What is the remainder when 120 is divided by j?
24
Suppose 0 = -3*l + 7*l. Suppose 0*h - 18 = -s - h, 5*h = -s + 14. Suppose l = m - 0*m - s. Calculate the remainder when m is divided by 5.
4
Suppose 5*l - 15 = 60. Let x = 21 - 22. Let c(t) = -41*t**3 + 2*t**2 - 1. What is the remainder when c(x) is divided by l?
12
Suppose -4*v + o + 4*o = -99, -2*v - o + 53 = 0. What is the remainder when v is divided by 21?
5
Let t = -207 + 326. What is the remainder when t is divided by 42?
35
Suppose 6*p - 368 = -1598. Let g = p + 332. What is the remainder when g is divided by 26?
23
Let o(j) = -6*j**3 - 8*j**2 + 5*j + 4. Calculate the remainder when 697 is divided by o(-2).
7
Suppose 8*r = -16 + 56. Suppose i + r*u = 68, -3 = -2*i + 3*u + 94. What is the remainder when i is divided by 28?
25
Let d = 39 + -10. Calculate the remainder when d is divided by ((-5)/2)/((-1)/2).
4
Suppose 42 - 78 = -3*b. Let q = -3 + 11. What is the remainder when b is divided by q?
4
Let s(o) = -o**2 - 15*o + 4. Calculate the remainder when s(-5) is divided by 17.
3
Suppose -2*i = 66*g - 63*g - 138, -3*g = 0. Calculate the remainder when i is divided by 4.
1
Suppose -3*h + 3*r - 33 = -93, 2*h = -3*r + 50. What is the remainder when 482 is divided by h?
20
Let m(q) = -2*q**3 - 4*q**2 - 4. Suppose 9*a + 21 - 642 = 0. Calculate the remainder when a is divided by m(-3).
13
Let u = 14 - -59. Calculate the remainder when 213 is divided by u.
67
Suppose -4*w + 4 = -12. Suppose 0 = -5*k - o + 20, 0 = 3*k - 2*o + 2 - 1. What is the remainder when ((-9)/w - 0)*-4 is divided by k?
0
Suppose 22 = 3*p + 16. Suppose -p*q + 65 = -45. Calculate the remainder when q is divided by 14.
13
Let q be (-8 + -4)*(-1)/3. What is the remainder when 28 is divided by (q/(-8) + 2)*10?
13
Suppose -2*s + 24 = -110. Let k(o) = -o**3 - 14*o**2 - 15*o - 9. What is the remainder when s is divided by k(-13)?
16
Suppose -3*d = -5*u + 200, -4*u + 5*u - 40 = d. Calculate the remainder when u is divided by 4.
0
Suppose -24113 = -49*i + 2739. Calculate the remainder when i is divided by 12.
8
Suppose -4*n + 212 = -5*i + 9*i, -139 = -3*i + n. Calculate the remainder when 59 is divided by i.
11
Let b = -27 + 209. Let c be ((-31)/3)/((-4)/48). Let r = b - c. Calculate the remainder when r is divided by 10.
8
Suppose -2*o + 5*g = -46, -2*o - g = -0*o - 34. Calculate the remainder when 69 is divided by o.
15
Let j(t) = -t**3 + 4*t**2 + 3*t + 3. Calculate the remainder when j(-3) is divided by ((-8)/(-10))/(2 - 592/300).
27
Calculate the remainder when ((-50)/(-30))/(4 + 1929/(-486)) is divided by 15.
9
Let y(a) = a - 1. Let w be y(9). Let n(h) = -h**2 + 10*h + 8. Calculate the remainder when 94 is divided by n(w).
22
Suppose -4*j = 119*w - 116*w - 119, 0 = w - 2*j - 43. Calculate the remainder when 242 is divided by w.
37
Let z be ((-10)/(-5))/(1 + -3) + 5. Suppose -z*j - j + 535 = 0. What is the remainder when j is divided by 27?
26
Suppose 2*a - 2 = -16. Let k = a - 6. Let s = k + 27. What is the remainder when 27 is divided by s?
13
Let a(n) = -6*n**3 - n**2 + n + 2. Let u be a(-1). Suppose 22 = g + u. Calculate the remainder when 46 is divided by g.
14
Suppose -23 = -4*x + 3*s, 2*s + 3 + 5 = -x. Suppose -2*u - 2 = 0, 3*u + 26 = x*z - 1. Calculate the remainder when 59 is divided by z.
11
Let w = 431 + -346. Calculate the remainder when w is divided by 22.
19
Let m = -173 - -216. Calculate the remainder when m is divided by 9.
7
Suppose 0 = -25*u + 715 + 10. Suppose 0 = 3*g - 19 + 1. Suppose 0*i - i + g = 0. Calculate the remainder when u is divided by i.
5
Let v(u) = 16*u + 16. Let p be v(8). Suppose 3*g = -p - 6. Let n = g + 109. Calculate the remainder when n is divided by 15.
14
Let x(a) = -a**3 + 3*a**2 + 8*a + 8. Let p be x(6). Let f = p - -104. What is the remainder when f is divided by 9?
7
Let g(h) = -1 - 2 + 5 + 8*h - 2*h**2. Let a be g(4). Suppose -a*s - 3*s = -20. Calculate the remainder when 9 is divided by s.
1
Suppose 37*h = -196 + 1417. Calculate the remainder when 263 is divided by h.
32
Calculate the remainder when 1/((-25)/(-2230)) - (-1)/(-5) is divided by 23.
20
Let t(z) = z**3 - 11*z**2 + 10*z + 5. Let n(u) = 3*u**3 - 32*u**2 + 29*u + 16. Let y(f) = -3*n(f) + 8*t(f). What is the remainder when y(6) is divided by 8?
6
Let m(p) = p**3 + 8*p**2 + 10*p - 2. Calculate the remainder when 131 is divided by m(-4).
21
Suppose -36 = -19*m + 40. Let d be ((-4)/6)/(2/(-66)). Let j = d - m. What is the remainder when 53 is divided by j?
17
Let d = -8 - -12. Suppose -b - d*m + 26 = -0*m, -b - 2*m = -24. What is the remainder when b is divided by 9?
4
Calculate the remainder when (161/30 + (-5)/30)*45 is divided by 34.
30
Calculate the remainder when 9 is divided by ((-21)/63)/((-1)/15).
4
Let d = -18 - -36. Let v = -4 + d. What is the remainder when (-1)/(-5) + 0 - (-992)/40 is divided by v?
11
Suppose 78*s - 384 = 72*s. Calculate the remainder when s is divided by 34.
30
Let u = -167 + 111. Let w = 68 + u. Calculate the remainder when 46 is divided by w.
10
Let g(f) = 2*f**2 - 33*f - 27. Let n be g(17). What is the remainder when 1 + 19 + (-15 - n) is divided by 9?
6
Let p(h) = 89*h - 443. Calculate the remainder when p(9) is divided by 18.
16
Suppose -8*d = 274 - 10. Let t = d - -70. Calculate the remainder when t is divided by 1