 Let w be (-86*2/(-4))/j. Suppose 4*c - 177 = w. What is the remainder when c is divided by 19?
17
Suppose 11*w = 5*w. Suppose 4*j = 3*j. Suppose w = 4*d - j - 12. What is the remainder when 8 is divided by d?
2
Let u(g) = 27*g + 284. Calculate the remainder when 95 is divided by u(-10).
11
Suppose 5*c = -d + 942, 3*c + 3*d - 7*d - 556 = 0. Calculate the remainder when c is divided by 24.
20
Calculate the remainder when ((-140)/84)/(2/(-72)) is divided by 31.
29
Suppose -4*z + 220 = 3*g - 5*g, 0 = -3*g - 12. Calculate the remainder when 316 is divided by z.
51
Let k be 26 + 10/(-5) + -2. Let d = k - 5. Calculate the remainder when 43 is divided by d.
9
Suppose 4*b - 5*v - 218 = 0, -5*b + 3*v - 45 = -311. What is the remainder when b is divided by 28?
24
Let c = 37 + 19. Let r(l) = 22*l + 1. Let u(y) = 11*y. Let n(d) = -3*r(d) + 5*u(d). Calculate the remainder when c is divided by n(-2).
18
Let j be (2 - 2) + (0 - -3). Suppose -3*n = -2*n - j. Let d = -11992 + 12003. Calculate the remainder when d is divided by n.
2
Suppose -17*y = -0*y - 3145. Calculate the remainder when y is divided by 47.
44
Let f = 22 - 14. Let h(m) = m**3 + 17*m**2 - 19*m - 7. Let z be h(-18). Suppose -6*o + z*o = 75. Calculate the remainder when o is divided by f.
7
Suppose -4*g = i - 324, 3*i + 297 + 108 = 5*g. What is the remainder when 403 is divided by g?
79
Let t = 68 - 41. What is the remainder when t is divided by -2*720/(-168)*14/8?
12
Let u = 107 + -102. Calculate the remainder when 69 is divided by u.
4
Let z = 0 + 2. Let n be (12/(-4))/3*(-94 + 8). Suppose 3*y + 72 + 86 = 4*v, z*v = 5*y + n. What is the remainder when v is divided by 10?
8
Suppose -2*x + 1513 = 3*z - 0*x, -2*z + 977 = -5*x. What is the remainder when z is divided by 24?
21
Let p(h) = h**3 - 32*h**2 + 43*h + 147. Calculate the remainder when p(32) is divided by 12.
11
Let x(h) = 5*h + 10. Let f(u) = -2*u**2 + 4*u - 2. Let y be f(1). What is the remainder when 237 is divided by x(y)?
7
Suppose 3*w = 2*n - 4*n + 8, 4*n = -3*w + 16. Let a = w + 5. Suppose -a*t + 0*t = -30. What is the remainder when t is divided by 5?
1
Let z(x) be the third derivative of -2*x**2 - 5/8*x**4 + 0 + 1/2*x**3 + 0*x. Calculate the remainder when z(-2) is divided by 18.
15
Calculate the remainder when (-2)/2 + 107 - 2 is divided by 27.
23
Suppose 1138 + 635 = 3*c. What is the remainder when c is divided by 148?
147
Let j(c) = 63*c + 392. Suppose -m - 9 + 76 = 0. Calculate the remainder when m is divided by j(-6).
11
Suppose -10 = -3*f + 20. Suppose -p - 8 + f = 0. Suppose p*h + 11 - 43 = 0. What is the remainder when 46 is divided by h?
14
Let f(u) = -u**3 - 13*u**2 + 5*u + 34. Calculate the remainder when f(-14) is divided by 11.
6
Let o(z) = -5*z - 51. Let f be o(-11). Suppose 24 = g - 44. Suppose g = -3*s + f*s. What is the remainder when s is divided by 10?
8
Let m(q) = q**3 - 2*q**2 + 2*q + 5. Calculate the remainder when m(3) is divided by 13.
7
Suppose -3 = -3*a + 6. Suppose a*k + 15 = 0, -4*l + k = -50 - 15. Suppose -3*y + 2*o + 79 = 0, 2 = 2*o - 6. Calculate the remainder when y is divided by l.
14
Suppose 0 = 6*r - 8*r - 5*b + 242, 5*r + 4*b = 605. What is the remainder when r is divided by 113?
8
Calculate the remainder when 952/49 - 3/7 is divided by 5.
4
Let r(h) = -h + 68. Calculate the remainder when 98 is divided by r(33).
28
Let r(m) = -m**2 + 12*m - 15. Let g be r(10). Suppose 2*v + g*w = 129, -v + 9 + 63 = -5*w. Calculate the remainder when v is divided by 18.
13
Let q = 1083 + -1075. Let c = 73 + -43. What is the remainder when c is divided by q?
6
Let x = -95 - -131. Calculate the remainder when x is divided by 23.
13
Let t be 39/((6/(-4))/((-55)/22)). Let m = t - 53. Calculate the remainder when m is divided by 2.
0
Let a = 44 + -31. Let b(y) = -33*y + 21. Let q be b(-8). Suppose 19 = 8*i - q. What is the remainder when i is divided by a?
12
Let l(w) = -17*w - 19*w + 15 + 0*w**2 + 27*w - w**2. Calculate the remainder when 57 is divided by l(-9).
12
Let p(n) be the third derivative of -n**5/60 - 5*n**4/8 - 8*n**3/3 + 27*n**2. What is the remainder when 199 is divided by p(-8)?
39
Let w be 236/(-30) + 10/(-75). Let j(p) = p**2 + 7*p + 3. Calculate the remainder when 29 is divided by j(w).
7
Let i(r) = r + 39. Let n be i(0). Suppose -2*y - 3*p - 40 = -3, 3*y = p - n. What is the remainder when 98 is divided by 2 + -1 + y + 38?
23
Suppose 0 = 12*w - 11*w. Let s(d) = d**3 + 7. Calculate the remainder when s(w) is divided by 5.
2
Let g(t) = -t**3 + 7*t**2 - 1. Let i(z) = -3*z**2 - 3*z**3 + 4*z**3 + 1 - 3*z**2. Let r(n) = 6*g(n) + 7*i(n). What is the remainder when 110 is divided by r(3)?
26
Let h(k) = k**3 - 5*k**2 + 3*k - 1. Let d be h(4). What is the remainder when 65 is divided by d/(5/(-14)) + 3?
14
Suppose 0 = 5*g - 10*g + 180. Let p = 106 - g. What is the remainder when p is divided by 18?
16
Suppose 0 = -j + 2, 4*i + j - 2*j = 1278. Calculate the remainder when i is divided by 36.
32
Let w = 3 - 1. Suppose -3*m = -5*d + 3, 6*m + w*d - 18 = 3*m. Suppose 0*q + 3*p = -q + 3, -2*p = 4*q - 32. What is the remainder when q is divided by m?
1
Let s(m) = 21*m**2 - 11. Let d(z) = 20*z**2 + z - 10. Let j(w) = 6*d(w) - 5*s(w). Calculate the remainder when j(-3) is divided by 23.
20
Let w be ((-2)/6)/((-25)/1575). Suppose 18*t - w*t = -51. Calculate the remainder when t is divided by 10.
7
Let b be 10/(-14) + (-8)/28. Let q(o) = -48*o - 1. Calculate the remainder when q(b) is divided by (-30)/4*24/(-18).
7
Let q(m) = -m - 9. Let j be q(-13). Let v(b) be the first derivative of b**3/3 - b**2/2 + 4*b + 4. What is the remainder when v(j) is divided by 9?
7
Suppose 0 = 5*h + 2*k + 18, -5*h + 3*h + k - 9 = 0. Let t be ((-20)/(-6))/(h/102). Let d = 45 - t. Calculate the remainder when d is divided by 33.
31
Let q = 18 - 17. Let j(a) = -7 + q - 1 + a. Calculate the remainder when 54 is divided by j(18).
10
Let r = 2 + 2. Suppose 51 + 25 = r*m. What is the remainder when 35 is divided by m?
16
Suppose 61*p - 51*p - 840 = 0. Calculate the remainder when 414 is divided by p.
78
Calculate the remainder when 948/(-30)*(-45)/6 is divided by 48.
45
Suppose 14*y + 22 = 16*y - 2*n, -6 = -3*n. What is the remainder when 35 is divided by y?
9
Suppose 717 = 5*f + 3*o - 17, -2*f + 3*o + 281 = 0. Suppose -3*n + 8*n - f = 0. Calculate the remainder when n is divided by 10.
9
Suppose 97 = 2*h + 5*s, -3*h + 87 = -5*s - 21. Let o(z) = -z. Let v(u) = -9. Let l(x) = o(x) - v(x). What is the remainder when h is divided by l(-14)?
18
Let q(b) be the second derivative of 71*b**4/12 + 5*b. Calculate the remainder when q(1) is divided by 18.
17
Let j(m) = m + 28. Let o be j(27). Suppose 3*t - o - 53 = 0. Calculate the remainder when t is divided by 8.
4
Let r = -11 + 948. Calculate the remainder when r is divided by 14.
13
Let s = 105 - 14. Suppose 0 = 10*q - 89 - s. What is the remainder when q is divided by 12?
6
Suppose -11*b - 224 = -785. Calculate the remainder when b is divided by 25.
1
Let m(c) = 2*c**2 + 25*c + 17. Calculate the remainder when m(-14) is divided by 25.
9
Suppose -2*f = -5*q + 6, 2*f - f - 2 = 0. Suppose -4*r - 3*b = -27 - 94, q*b = -5*r + 146. Let u = r - 12. Calculate the remainder when u is divided by 6.
4
Let h be 0 + (-4)/7 + 10488/(-168). What is the remainder when h/((1/(-3))/(-1)*-3) is divided by 22?
19
Let u(r) = r**3 - 5*r**2 + r + 3. Let t be (-2)/2 + (0 - -6). Let f be u(t). Suppose 0 = f*y - 4*y - 100. What is the remainder when 48 is divided by y?
23
Let f(c) = -3*c - 15. Let q = 169 - 118. What is the remainder when q is divided by f(-11)?
15
Suppose -5*c + 260 = 5*d, 3*c + d - 93 = 53. What is the remainder when 140 is divided by c?
46
Suppose -5423 = -50*y + 1777. What is the remainder when y is divided by 6?
0
Let q = 37 - 25. Suppose -d + 3*m + 20 = 8*m, 3*m = -3*d + q. Suppose 0 = h - 2*l - 27, 0 = -d*l - 5*l + 5. What is the remainder when 115 is divided by h?
28
Let m(u) = -2*u + 14. Let p be m(6). Suppose 5*c - p - 58 = 0. Suppose -h + x + 20 = 0, 3*x = -x - c. Calculate the remainder when 67 is divided by h.
16
Suppose b + 3 = 19. Calculate the remainder when 95 is divided by b.
15
Let r(o) = -8*o + 195. What is the remainder when 128 is divided by r(22)?
14
Let l = -2 - -6. Suppose -12*p