Suppose -4*z = w*y - 136, -m*y - 5*z + 374 = 24. What is the remainder when y is divided by 19?
15
Let b(p) = -11*p + 49. Let z(w) = -33*w + 147. Let i(r) = -7*b(r) + 2*z(r). What is the remainder when 80 is divided by i(7)?
24
Suppose -4*c - 10 + 18 = 0. Calculate the remainder when c + (-6068)/(-60) - (-8)/(-60) is divided by 35.
33
Suppose 25*i = 23*i - 22. Let h(l) = 2*l + 3. Let c(y) = y + 2. Let j(z) = -5*c(z) + 2*h(z). Calculate the remainder when 11 is divided by j(i).
4
What is the remainder when 4 is divided by ((-3)/(-2))/((-21)/(-28))?
0
What is the remainder when 112 is divided by (6 - -16) + 6 - 4?
16
Let z = -2071 - -2229. Suppose p = -2*s + 40, -2*s - 74 - 14 = -3*p. What is the remainder when z is divided by p?
30
Let m = 4 - -22. Suppose 30*r - m*r - 176 = 0. Suppose -4*l - r + 124 = -d, -4*d + 37 = l. Calculate the remainder when 39 is divided by l.
18
Let z be 578/4 + 2/4. Let g = -62 + z. Suppose g + 53 = 4*r. Calculate the remainder when r is divided by 9.
7
What is the remainder when (59 + (1 - 5))/1 is divided by 41?
14
Suppose -2*h - 23 + 12 = -j, 37 = 5*j - 4*h. What is the remainder when 386 is divided by j?
1
Suppose 5*i - g - 167 = 0, -3*i + 3*g - 2*g + 101 = 0. What is the remainder when 142 is divided by i?
10
Suppose 204*w = 215*w - 2156. What is the remainder when w is divided by 18?
16
Let q(p) = -p**3 - 5*p**2 + 4*p - 1. Suppose -n = 3*d + 15, -3*d = -4*d - 3*n + 3. What is the remainder when 43 is divided by q(d)?
10
Suppose 0 = -23*a + 8*a + 165. What is the remainder when 560 is divided by a?
10
Suppose -188 - 67 = -3*n - 3*d, -n + 5*d = -85. What is the remainder when n is divided by 15?
10
Suppose 0 = 3*t - 2*v - 219, 2*v + 2 = -4*t + 294. Let u(c) = 5*c**3 - c**2 + 2*c - 3. Calculate the remainder when t is divided by u(2).
36
Let t(r) = r**3 + 25*r**2 - 29*r + 18. Suppose -2*p = 13*p + 390. What is the remainder when t(p) is divided by 7?
5
Suppose v = 25 + 29. Suppose -v = -c - 35. What is the remainder when c is divided by 10?
9
Let b be 3/(-2) - 495/(-10). Suppose b = 6*x - 2*x. Calculate the remainder when 45 is divided by x.
9
Let l = -245 + 417. Calculate the remainder when 37 is divided by (-4)/(-22) - l/(-22).
5
Let i(j) = j**2 + 5*j + 33. Calculate the remainder when i(-7) is divided by 8.
7
Suppose 6*k - 163 + 13 = 0. What is the remainder when 66 is divided by k?
16
Let t(v) = 15*v**2 + 1. Suppose 5*z + 0*r - r - 4 = 0, -4*z - 4*r = -8. Let c be t(z). Suppose 28 + c = 4*m. What is the remainder when 21 is divided by m?
10
Suppose 0*q + q - 5 = -n, 5*n = 15. Let h be (4 - 3) + (13 - q). What is the remainder when 18 is divided by (24/(-9))/((-8)/h)?
2
Let i(r) = 5*r. Let y be i(-1). Let p(n) = 2*n**2 - 2*n + 6. Let z(d) = d**2 - d + 2. Let x(s) = p(s) + z(s). What is the remainder when x(y) is divided by 25?
23
Let f(p) = p**2 - 6*p - 4. Calculate the remainder when 457 is divided by f(-5).
49
Let v(x) = -16*x + 0 + 0 + 19*x. Suppose -3*s + 67 = 19. Calculate the remainder when s is divided by v(3).
7
Suppose z = 3*z - f + 8, -3*f = -3*z - 12. Let p = z - -6. Calculate the remainder when 17 is divided by p.
1
Suppose -13 = -3*v + 5. Suppose 13*m - 7*m = 0. Suppose -o - 4*o + 115 = m. What is the remainder when o is divided by v?
5
Calculate the remainder when 4/8*6 + 34 is divided by 4.
1
Let b(h) = 4*h**2 + 17*h + 47. Calculate the remainder when 91 is divided by b(-3).
27
Let d = 47 + -49. Let z = 14 - d. Calculate the remainder when (48/(-28))/(4/(-98)) is divided by z.
10
Let i = 64 + -45. Let z = -1 + i. What is the remainder when z is divided by 11?
7
Let q(u) = 7*u**2 - 94*u - 102. What is the remainder when q(15) is divided by 0 - 2 - (-1 - 17)?
15
Let n(v) = v**2 - 7*v + 16. Let p be n(4). Let y(t) = 4*t - 10. What is the remainder when y(p) is divided by 2?
0
Let g = 109 - 57. Let r(t) = -3*t - 6*t - 2 - t. Calculate the remainder when g is divided by r(-2).
16
Suppose -30 = -n - 9. Let k(z) = 6*z**2 + z + 3. Let l be k(-2). Let m = l - 19. What is the remainder when n is divided by m?
3
Suppose 3*x - 51 - 27 = -2*q, 0 = -x - q + 27. Calculate the remainder when 32 is divided by x.
8
Let k be (-2)/(-4) - 193/2. Let a = k - -150. What is the remainder when a is divided by 19?
16
Suppose 127 = 4*x + 11. Suppose -27*p + x*p = 10. Suppose p*v = 2*v + 60. Calculate the remainder when 57 is divided by v.
17
Let i = -10 - -137. Suppose 1 = 8*k - i. Let s(d) = -d**2 - d + 44. What is the remainder when s(0) is divided by k?
12
Suppose -3*y - 10*y = -429. Calculate the remainder when 98 is divided by 11/(y/12) - -11.
8
Let t(f) = 3*f + 74. Suppose 2*i - 4*i + 44 = 0. What is the remainder when t(11) is divided by i?
19
Suppose k - 4*k + 150 = 2*v, 50 = k - v. Suppose -s = s + k. Let l = 82 + s. What is the remainder when l is divided by 20?
17
Let k(m) = m**3 - 8*m**2 + 11*m - 15. Let u be k(6). Let f = u + 21. Suppose f = 4*b - 125 - 11. What is the remainder when b is divided by 9?
7
What is the remainder when 48 is divided by (-1 + -4 + 6)*(-115)/(-5)?
2
Let i(m) be the third derivative of m**6/120 - m**4/24 + 5*m**3/3 - 42*m**2. Let b(q) = q - 6. Let d be b(6). Calculate the remainder when i(d) is divided by 2.
0
Let d = 1556 - 1507. What is the remainder when d is divided by (4/2)/(3/39)?
23
Let l = -60 - -186. Suppose -i - l = -8*i. Suppose 4*z + z - 170 = 0. What is the remainder when z is divided by i?
16
Let c = 335 - 304. Calculate the remainder when 204 is divided by c.
18
Suppose 1 = 2*g - 1. Suppose 0 = r - g, -5*t + 10*t + r = 226. What is the remainder when t is divided by 24?
21
Let r(w) = -w**3 + 8*w**2 - 6*w. Let a be r(8). Let z = a - -54. Calculate the remainder when 24 is divided by z.
0
Suppose 0 = l - 5*f - 20, 2*f + 20 = l + f. Suppose -9*n = -12*n + 174. What is the remainder when n is divided by l?
18
Suppose -54*f - 25 = -55*f. Let l = 22 + -14. Let q = -1 + l. What is the remainder when f is divided by q?
4
Let h be -2 + -1 + (0 - -1). Let i = 19 - h. What is the remainder when 82 is divided by i?
19
Suppose 90 = 4*p + 2*s, -177 + 102 = -3*p + s. What is the remainder when p is divided by 1*-13*(-1 - 0)?
11
Suppose 3*y + 2*y = 2*z - 5, y = 4*z - 19. Suppose -3*w + 16 = -20. What is the remainder when (z/2 + -3)*-46 is divided by w?
11
Let t(v) = 2*v**3 + 2*v**2 - 1. Let q be t(1). Suppose -q*x = -x - 198. What is the remainder when x is divided by ((-10)/(-15))/(-2*(-2)/204)?
31
Suppose 5*r - c = 940, 0*r + 2*r + c = 383. What is the remainder when r is divided by 8?
5
Let z(n) = 3*n + 40. Calculate the remainder when z(-5) is divided by 17.
8
Let l be (7 + -5 + 3)/1. Let g = l - -3. Suppose b = 4*z + 6, -2*z = 4*b - 5*b + g. What is the remainder when 28 is divided by b?
8
Let k = 628 + -469. Calculate the remainder when k is divided by 55.
49
Let d = 856 - 840. Let h(q) = 64*q**2 + q. What is the remainder when h(-1) is divided by d?
15
Let n(i) = -2*i - 2. Suppose 0 = 2*f + 4*p - 48, 6*f = 2*f + 3*p + 96. Let l be (-36)/f*28/6. Calculate the remainder when 22 is divided by n(l).
10
Let w(n) = 3*n**2 + 9*n - 22. What is the remainder when 179 is divided by w(4)?
55
Let j(z) = 57*z + 619. Let t(w) = w**2 + 2*w - 7. Calculate the remainder when j(-8) is divided by t(6).
40
Suppose g - h = -3, 0*g - 2*h + 7 = -3*g. Calculate the remainder when 82 is divided by 44 + -4 - (-1 + g).
40
Let v(m) = 4*m**2 + 100*m + 11. What is the remainder when v(-25) is divided by 5?
1
Let r(h) = -h**2 + 31*h - 188. Calculate the remainder when r(18) is divided by 16.
14
Let m be 1109/11 + (-6)/(-33). Suppose c = -5*d + m + 16, -d + c = -27. What is the remainder when 44 is divided by d?
20
Let l = 1199 - 1129. Calculate the remainder when 1116 is divided by l.
66
Let b(w) = w**2 - 3*w - 3. Let c = -18 - 23. Let j = c - -37. What is the remainder when 47 is divided by b(j)?
22
Suppose -3*t = 4*l - 66, 4*l + 97 = 4*t - 19. Suppose 4*o - 2*u = t, -o + u + 4 + 3 = 0. Calculate the remainder when o is divided by 3 + (2 - -1) + -3.
0
Let t = 33 - 8. Let a = -15 + t. Let j = 24 - a. What is the remainder when 27 is divided by j?
13
Let s = 32 + -19. Suppose -189 = -s*q + 4*q. Calculate the remainder when 39 is divided by q.
18
Suppose 3*c + 3 = 0, -3*c + 257 = 3*y + 32. What is the rem