 3 = 0, -5*d = -4*b + 32. Let a(c) = -8*c - 14. Calculate the remainder when 70 is divided by a(d).
16
Let k(p) = 17*p - 672. What is the remainder when 11 is divided by k(40)?
3
Suppose -249*y + 238*y + 374 = 0. What is the remainder when 99 is divided by y?
31
Suppose 0 = -12*f + 4*f + p + 864, 0 = 5*f - p - 540. What is the remainder when f is divided by 5?
3
Let q = 11 - 8. Suppose 0 = u + q*u - 24. Suppose 0 = -z + 3*z - u. Calculate the remainder when 3 is divided by z.
0
Let r(i) = 27*i + 7. Calculate the remainder when 135 is divided by r(1).
33
Let h(i) = 3*i - 23. Let r be h(9). Let u(c) = 2*c**2 - 3*c - 9. Let z(b) = -15*b + 1. Calculate the remainder when z(-2) is divided by u(r).
9
Let w = -3 - -2. Let p be w/(-2) - (-408)/16. Suppose 2*r = p + 52. What is the remainder when r is divided by 20?
19
Let q(y) = -13*y - 6. Let s(m) = -27*m - 14. Let j(r) = -7*q(r) + 3*s(r). Suppose 3*w + w - 4 = 0. Calculate the remainder when 38 is divided by j(w).
8
Let g = -416 + 1065. Calculate the remainder when g is divided by 50.
49
Calculate the remainder when 9 is divided by (4 - (-6 + 7)) + (1 - 0).
1
Let q = 0 - -1. Suppose -f - q = -5. Let j = 6 + 11. What is the remainder when j is divided by f?
1
Suppose 0 = 25*q - 33*q + 912. Calculate the remainder when q is divided by 17.
12
Suppose -n = -0 - 2, 3*n = 3*k + 78. Let m = k - -56. Calculate the remainder when 158 is divided by m.
30
Suppose 6*g - 30 = 18. Suppose 5*i = g*i - 12. Calculate the remainder when 19 is divided by i.
3
Let r(h) = -3*h - 6. Suppose -5*y - c + 266 = 0, -c = 4*y - y - 160. Calculate the remainder when y is divided by r(-7).
8
Let d be 5 + 12/(-16) - (-3)/4. Suppose -5*q + 30 = d*y, -4*y + 0*y = -5*q - 60. What is the remainder when 21 is divided by y?
1
Let m(c) = -c**3 - 11*c**2 + 10*c - 17. Let b be 3/(-24) + (-39)/8. What is the remainder when (-121)/b + 10/(-50) is divided by m(-12)?
3
Suppose 8*x - 57 = 87. What is the remainder when 5*5/1*5 is divided by x?
17
Suppose -3*l - 2 = -l. Suppose 0 = 11*w - 9*w + 5*x + 21, -4*x = 20. Let m = w + l. Calculate the remainder when 3 is divided by m.
0
Let b = 17 - 12. Suppose 4 = -b*h + 14. Suppose -2*q = h*z + 2*z - 60, -5*z - 4*q = -72. What is the remainder when 62 is divided by z?
14
Let w = 9 + 18. Let l = -9 - -32. Let n = -15 + l. What is the remainder when w is divided by n?
3
Let c = -44 - -76. Let q = 109 + -104. Suppose -n + 15 = -i + 107, 468 = q*i + 3*n. Calculate the remainder when i is divided by c.
29
Suppose 7*k - 20*k = -13. Calculate the remainder when 137 is divided by k.
0
Suppose -z + 0*z = 28. Let p = z + 98. Suppose u - 96 = -3*u. What is the remainder when p is divided by u?
22
Let l be (-160)/(-25) - (-3)/5. Let h = l - 5. Suppose -5*f - 1 = 4*j - 52, h*f - 26 = -3*j. Calculate the remainder when 13 is divided by f.
6
Suppose 0 = 3*t - 28 - 23. Let n = -21 + 32. Let m(d) = d**3 - 12*d**2 + 14*d - 2. Calculate the remainder when m(n) is divided by t.
14
Suppose -7 = -3*g + 35. Let y(u) = u**2 + 5. What is the remainder when y(8) is divided by g?
13
Let j(n) = n**2 - 6*n + 19. Suppose -3*x + 6 = 3*f, 2*f - 2 = -4*x - 6. What is the remainder when j(5) is divided by f?
2
Let p = 852 + -570. Calculate the remainder when p is divided by 141.
0
Let f = 18 - 21. Let y be (110/(-33))/((-1)/f). What is the remainder when 76 is divided by 27/45 + (-124)/y?
11
Calculate the remainder when 3 + 0 - ((-22)/(-11) - 686) is divided by 15.
12
Let o(w) = w**2 + 6*w + 16. Calculate the remainder when (-1 + -5)*30/(-9) is divided by o(-2).
4
Let q(h) = -37*h - 4 + 45*h + 11. What is the remainder when q(8) is divided by 37?
34
Suppose -47*y = -43*y - 20. Let p be 2/(2 - 8/3). Let k(t) = t**2 - t + 1. What is the remainder when k(p) is divided by y?
3
Let v be (24/(-64))/((-1)/8). Suppose 0 = -v*o + 13 + 35. Calculate the remainder when 30 is divided by o.
14
Suppose -36*y + 188 = -748. What is the remainder when 173 is divided by y?
17
Let b(n) = n**3 - 7*n**2 + 3*n - 14. What is the remainder when 305 is divided by b(8)?
9
Calculate the remainder when 1719 is divided by ((-500)/(-30))/((-5)/(-6)).
19
Let k = -51 - -73. Suppose 8*d - 142 = -k. What is the remainder when 57 is divided by d?
12
Suppose -68*k + 6052 = -0*k. Calculate the remainder when k is divided by 19.
13
Let r = 85 - 67. Let j = 12 - 6. Calculate the remainder when r is divided by (-8)/j*-3 + 0.
2
Let d(f) = -f**3 - 11*f**2 + 9*f + 35. Suppose 3*r + r = 76. Calculate the remainder when d(-12) is divided by r.
14
Suppose 0 = k + 3, 3*b + 2 = 2*b - 4*k. Suppose 529 = b*v - 131. Calculate the remainder when v is divided by 17.
15
Let a(i) = -6*i**3 - 3*i**2 - 9*i - 16. What is the remainder when a(-2) is divided by 12?
2
Let b be 0/8*(-3 - -4). Suppose 4*f = 2*d + 28, b = 3*f + 2*d - 4*d - 23. Calculate the remainder when 11*(-1 + 2) - -2 is divided by f.
3
Let b(s) = -3*s + 6*s + 3*s**2 - 2*s**2 - 4*s + 110. Let j be b(0). Suppose -7*y = -2*y - j. Calculate the remainder when y is divided by 12.
10
Suppose 0 = -2*z - 5*p + 59, 2*z - 55 = -3*p + 2*p. Let b be 9/z + 112/6. What is the remainder when 54 is divided by (-2 + 5)*b/3?
16
Let m(t) = -4*t**3 - 4*t**2 - t + 4. Let n be (3 + (-2)/1)*-2. Calculate the remainder when 172 is divided by m(n).
18
Let l be -2 - ((-16)/(-1) + 2). Let k be (l/(-6))/(2/(-3)). What is the remainder when 51 is divided by 18 - 1 - k/5?
15
Let b = -15 - -28. Suppose s - 23 = -j + 2*s, -2*j + 48 = -4*s. Calculate the remainder when j is divided by b.
9
Let h(u) = u**2 + 26. Let x = -60 + 55. What is the remainder when 203 is divided by h(x)?
50
Let q be 2/(1 - (-6)/(-4)). Calculate the remainder when 54 is divided by ((-54)/4 - q)*-2.
16
Let n = 185 + -157. Calculate the remainder when n is divided by 7.
0
Suppose f + 4 = -3*r + 12, 3*f = r + 54. Suppose -5 = -4*a + 7. Suppose 0 = -w - a, w + w + 71 = s. Calculate the remainder when s is divided by f.
14
Let a(q) = -3*q + 38 + 0*q**2 + q**2 - 45. Let p be a(6). Suppose 2*t = 1 + p. Calculate the remainder when 16 is divided by t.
4
Suppose 40*c - 26 = 38*c. Suppose -w + 14 + 11 = 0. Calculate the remainder when w is divided by c.
12
Suppose -10 = 525*t - 527*t. What is the remainder when 34 is divided by t?
4
Suppose -3*k + 4*l = -33, -3*l + 54 = 4*k - k. Suppose 0 = k*a - 117 + 12. What is the remainder when 20 is divided by a?
6
Let d be 2/7 + (0 - 40/(-7)). Suppose 2*u + d = 0, -2*u + 5*u = z - 25. Calculate the remainder when z is divided by 6.
4
Suppose -828 = -q - 432. What is the remainder when q is divided by 31?
24
Let r(p) = 26*p - 6. Let l(s) = 26*s - 7. Let x(b) = -2*l(b) + 3*r(b). Let y be x(2). Suppose y = m + m. What is the remainder when m is divided by 13?
11
Calculate the remainder when (6 + (-9)/12)*(-208)/(-12) is divided by 35.
21
Let r = 24 - 10. Let j = 80 + -25. What is the remainder when j is divided by r?
13
Let f(c) = -39*c + 327. Calculate the remainder when f(7) is divided by 39.
15
Let r(o) = -13*o + 106. Let i = -29 - -47. What is the remainder when i is divided by r(7)?
3
Suppose -12*x - 51 = -267. Calculate the remainder when 84 is divided by x.
12
Let j(x) = 3*x**3 + 30*x**2 - 2*x - 34. Let i(s) = -s**3 - 10*s**2 + s + 11. Let v(p) = -7*i(p) - 2*j(p). Calculate the remainder when 104 is divided by v(-10).
20
Let f = -10 + 71. Suppose -129 = -4*c - 37. Calculate the remainder when f is divided by c.
15
Suppose l = 5*l + 5*h + 7, -3*l - 3 = 3*h. Suppose v + 204 = 5*v. Suppose v = l*j - 73. Calculate the remainder when j is divided by 16.
14
Let t = -261 + 339. Calculate the remainder when t is divided by 16.
14
Suppose 0 = -2*o + 13*a - 12*a + 754, 5*o + 5*a = 1870. What is the remainder when o is divided by 126?
124
Let r(g) be the second derivative of g**5/20 - 3*g**4/4 - g**3 - 3*g**2/2 - g. What is the remainder when r(10) is divided by 10?
7
Let y = 502 + -445. Calculate the remainder when 77/28*124*1 is divided by y.
56
Let z(y) = y**2 + 2. Let v be z(2). Suppose -3*i - 2 = 1. What is the remainder when (v/(-3) - i) + 5 is divided by 3?
1
Let w(p) = p**2 + 2*p - 33. Calculate the remainder when 197 is divided by w(-11).
65
Suppose -n + 2*n = h + 81, 0 = 4*n + 2*h - 324. What is the remainder when n is divided by 50?
31
Let d = 1