5, -3 = a - k. Calculate the remainder when a is divided by j.
0
Let d(k) = -k**3 - 8*k**2 + 10*k + 14. Let a be d(-9). Suppose o = -4*r + 67, a*r + 4*o = r + 64. What is the remainder when 27 is divided by r?
10
Suppose 4*x - 108 = 4*y, y = x + 3*y - 24. What is the remainder when 87 is divided by x?
9
Suppose 0 = 87*t - 1345 - 7279 - 946. Calculate the remainder when t is divided by 2/((4/(-29))/(-2)).
23
Suppose -5*k + 16 = -2*m + 60, 4*k + 28 = 4*m. Let a(n) = -n**2 - 12*n - 17. Let y be a(k). Let p = 13 + y. Calculate the remainder when 45 is divided by p.
13
Let m(p) = -12*p - 2 + 7 - 6. Let x be (-1)/((1 - 2) + 2). Calculate the remainder when 20 is divided by m(x).
9
Calculate the remainder when (-644)/(-10) - (-8)/(-20) is divided by 11.
9
Let m(h) = -h - 3. Let i be m(-3). Let f be (-2 + (-7)/(-2))/(2/20). Suppose -f = -o - i. Calculate the remainder when 57 is divided by o.
12
What is the remainder when 31/((-13)/(-143) - 7/(-44)) is divided by 20?
4
Suppose -270 = 11*h - 26*h. Calculate the remainder when 87 is divided by h.
15
Let j = -11 + 27. Let u(l) = -45*l + 1. Calculate the remainder when u(-1) is divided by j.
14
What is the remainder when 4/(72/5946)*3 is divided by 16?
15
Suppose -405 = -3*h - 2*h. Suppose 3*a = -0*a + h. Let k = 39 + -24. Calculate the remainder when a is divided by k.
12
Suppose 2*r + 3*r = 15. Suppose -r*a = 2*i - 27, -5*i = -2*a - 2 + 39. Calculate the remainder when 41 is divided by a.
8
Suppose 1 = -k - 1. Let b be 1 + (k + 5)*1. Suppose 0 = b*u - 3*m - 132, 2*u + 6*m - 3*m = 84. Calculate the remainder when u is divided by 13.
10
Let z(t) = 4*t**2 - 12*t - 2. Let y(m) = 11*m**2 - 35*m - 7. Let s = -16 + 24. Let n(f) = s*z(f) - 3*y(f). Calculate the remainder when 5 is divided by n(9).
0
Suppose -2*k - 3*k = -10. Suppose -4*j - k*v + 6*v + 40 = 0, 0 = 5*j + 4*v - 68. What is the remainder when 33 is divided by j?
9
Suppose 99*f - 104*f = -4*x - 10553, -2*x - 4 = 0. Calculate the remainder when f is divided by 132.
129
Suppose -6 = -2*r - z - 185, 4*r + 3*z + 355 = 0. Let w be (-3 + 7)/4*r. What is the remainder when w/(-2) + (-4)/8 is divided by 24?
21
Suppose 4*d - 2380 = 4*u, 9*d - 4*d - 2969 = 2*u. Calculate the remainder when d is divided by 66.
65
Let a(c) = c**2 + c - 9. Let q be a(-3). Calculate the remainder when 81 is divided by 92/8 + q/(-6).
9
Let y(j) = -15*j**2 + 8*j + 13. Let d be y(-3). Let z = d + 231. Calculate the remainder when z is divided by 11.
8
Suppose -376*j = -375*j - 407. Calculate the remainder when j is divided by 51.
50
Suppose -5*z = -8*z - w + 21, -z - 4*w = -7. Suppose -3*b + z*b = 20. Calculate the remainder when 13 is divided by b.
3
Let f(n) = -35*n**2 - 2*n - 3. Let v be f(-1). Let y = v - -60. Calculate the remainder when 95 is divided by y.
23
Let i = 9 - 3. Let k be (-2 + (5 - 8))*1/(-1). Suppose -k + 34 = m. What is the remainder when m is divided by i?
5
Let i(k) = k + 10. Let a be i(-7). Suppose a*h = 8*h - 185. Suppose -8*z + z = -133. Calculate the remainder when h is divided by z.
18
Let h be (1/(-2))/(13/(-78)). Suppose -17 = -h*o + 3*t + 19, 4 = -t. What is the remainder when 13 is divided by o?
5
Suppose 7*k - 2*k + 180 = 0. Let f be (-188)/k + (-6)/27. Suppose -f*x + 120 = 4*p, 0*x + 30 = p - 3*x. Calculate the remainder when p is divided by 16.
14
Suppose 3*g - 3*y - 264 = 0, 7*g - 6*g - 4*y = 73. Let p = g + -77. What is the remainder when 77 is divided by p?
13
Suppose 0 = -5*w + 2*v + 18, -5*w = 3*v - 13 - 10. Let n = 40 + w. Calculate the remainder when 85 is divided by n.
41
Let q = 27 - 11. Suppose q + 11 = 3*o. What is the remainder when 17 is divided by o?
8
Let r be (-78)/(-15) + 5/(-25). Suppose -5*t = 4*l - r*l + 93, -4 = t. Calculate the remainder when l is divided by 19.
16
Suppose 0 = -3*v + 4*v - 108. Suppose v = 4*m + 8. Calculate the remainder when 111 is divided by (-10)/(-2) + -2 + m.
27
Suppose 2*w - 7*w = 2*d - 11, w - 5*d - 13 = 0. Suppose -a + w*a = 6. Suppose m = 4*c + 51, -2*m - a*c = -m - 30. What is the remainder when m is divided by 14?
11
Let l be 7 + (-2 + 6 - 7). What is the remainder when (-68)/6*(-6)/l is divided by 6?
5
Let r be -10 - -13 - 1/1. Suppose -2*i + 98 = 4*h, i + r*i - 15 = 0. Suppose 2*q + 174 = 4*q. What is the remainder when q is divided by h?
21
Suppose 4 - 14 = -5*y. Suppose -4*g + 8*g - 16 = 0. Suppose -g*j = z - y*z + 99, -3*j = -3*z + 279. Calculate the remainder when z is divided by 31.
29
Suppose k + 5*b - 15 = 0, -44*b = 3*k - 40*b - 78. Calculate the remainder when 52 is divided by k.
22
Suppose 7 = 2*c - 1. Suppose -2*y = -c*y. Let a = y + 21. Calculate the remainder when a is divided by 8.
5
Let r(p) = -p**3 - 6*p**2 + 7*p + 6. Let j be r(-4). What is the remainder when 18/j + 34/3 is divided by 7?
4
Suppose z + 3*z = -z. Suppose z = 2*k + 1 - 33. Suppose 5*w + 11 = t, -3*t + 6 = -4*w - 16. What is the remainder when k is divided by t?
4
Suppose 739 = 54*k + 37. Calculate the remainder when 24 is divided by k.
11
Calculate the remainder when 665 - -2*132/24 is divided by 40.
36
Let u(m) = -m**2 - m. Let z(p) = -p**3 - 6*p**2 - p + 77. Let d(y) = -5*u(y) + z(y). Calculate the remainder when d(0) is divided by 13.
12
Suppose 2*w - 184 = 4*f, 0 = w - 6*f + 2*f - 98. Let v = 47 + w. Calculate the remainder when v is divided by 34.
31
Suppose 0 = 5*h - 60 - 10. Let d = -4285 + 4324. Calculate the remainder when d is divided by h.
11
Let x(l) = -4*l**2 - 18*l - 6. Let k be x(-4). Suppose 4*h - 2 = 2*t + k*h, -4*h = -5*t. What is the remainder when ((-1)/2)/((-1)/14) is divided by t?
3
Let q(s) = 2*s**2 - 2*s. Let f = -24 + 27. Suppose 48 - 6 = f*u. What is the remainder when q(5) is divided by u?
12
Let z(u) = 4*u**2 + 176*u - 158. Calculate the remainder when (-16)/(-6)*(-2 - -26) is divided by z(-45).
20
Suppose -671 = -70*x + 59*x. Calculate the remainder when 299 is divided by x.
55
Suppose -c - 161 = -543. What is the remainder when c is divided by 65?
57
Suppose -41*i - 764 + 2486 = 0. What is the remainder when i is divided by 4?
2
Let h(y) = y**2 - 6*y + 4. Let j be h(6). Suppose 3*o - 152 = -o - 5*u, 140 = j*o + 2*u. Calculate the remainder when o is divided by -1 - (-1 - -2) - -19.
16
Let n(m) = -m + 30. Let z(l) = -l**2 + 2*l + 301. Calculate the remainder when z(0) is divided by n(-8).
35
Let h(w) = w**2 + 4*w - 4. Suppose 36 = 4*v - 2*n, -5*v + 70 - 14 = 3*n. Calculate the remainder when v is divided by h(-6).
2
Let w(k) = -k + 35. Let z(l) = 46*l + 1950. What is the remainder when w(0) is divided by z(-42)?
17
Suppose -r + 520 = 4*v, -r + 482 = -5*v + 7. What is the remainder when r is divided by 36?
32
Let k = 82 - 49. Let m = 382 - k. Suppose 5*l - 2*v = m, 0*l + 75 = l - 3*v. Calculate the remainder when l is divided by 18.
15
Let v(x) = -3*x**2 + x. Let d = 2 - 0. Let l be v(d). What is the remainder when 4/l - 259/(-35) is divided by 5?
2
Suppose -151 = -4*u + 3*a, 2*u + 30*a - 88 = 34*a. Calculate the remainder when 106 is divided by u.
4
Suppose 0 = -i + 5*i - 152. Let m = 0 + -27. Let q = i + m. What is the remainder when 32 is divided by q?
10
Suppose 23 = q - 2*p, -5*p - 89 = -5*q + 6. Let t(k) = 16*k - 2 + 4 - 6 + 14*k**2 - k**3. What is the remainder when 32 is divided by t(q)?
10
Let p(t) = -2*t**3 - t**2 + 2*t + 6. What is the remainder when p(-2) is divided by 3?
2
Suppose q - 12 = -q. Let h be ((-408)/(-32))/(q/32). Suppose -l = 3*l - h. Calculate the remainder when 66 is divided by l.
15
Suppose 3*g - l - 19 = 0, -l + 15 = 5*g - 6*l. Let v = 9 - 60. Let i = v + 74. What is the remainder when i is divided by g?
7
Let f(n) = 2*n**2 - n + 7. Let r be f(3). Suppose -3*v = -v - r. What is the remainder when 52 is divided by v?
8
Suppose -2*n + 5*i - 4*i = -217, -2*n + 4*i + 220 = 0. Suppose q + 3*q - n = 0. Calculate the remainder when q is divided by 15.
12
Let k(j) = 2*j**3 + 16*j**2 - j - 52. What is the remainder when k(-7) is divided by 9?
8
Let z(t) = -t**3 + 43*t**2 - 74*t + 28. Calculate the remainder when z(41) is divided by 186.
170
Suppose 3*u = -z + 3*z + 2, 0 = u + z - 9. Suppose -u*q = -5*q + 66. Suppose 9*d + 527 = 40*d. Calculate the remainder when q is divided by d.
15
Suppose 6 = -3*r - 3*z + 45, 0 = -r + 5*z + 43. Calculate the remainder when 34 is