7
Suppose m + 5*s - 61 = 211, -3*s = -5*m + 1220. What is the remainder when m is divided by 14?
9
Let r(b) = -30*b - 1. Suppose 5*m + 4*q - 430 - 742 = 0, m + 4*q - 244 = 0. Calculate the remainder when m is divided by r(-2).
55
Let u(t) = 2*t + 13*t**2 - 16*t**2 - 24*t**3 + 5*t**2. Calculate the remainder when 141 is divided by u(-1).
21
Let s(f) = -3*f + 2. Let h be s(0). Suppose 3*r + 5*m = -r + 81, 0 = -3*r + h*m + 55. What is the remainder when 92 is divided by r?
16
Let s(w) = 5*w**3 + w - 1. Let k be s(1). Suppose -k*v = 4*n - 11, 2*n - 1 = v + 6*n. Calculate the remainder when 22 is divided by 20/12*v - 0.
2
Let v(x) = 5*x - 15. Let w be (-6 - 1)*7/(-7). Let t be v(w). Suppose 10 = t*f - 19*f. What is the remainder when f is divided by 4?
2
Let m = -5 + -5. Let p be ((-4)/5)/(m/25). Suppose -d + 45 = -0*d - 4*v, -152 = -4*d + p*v. Calculate the remainder when d is divided by 13.
11
Suppose -2*x - 104 + 9 = -3*l, 0 = 3*l + 4*x - 71. What is the remainder when 109 is divided by l?
22
Suppose 4*g = 6*g - 4. Suppose 3*k = 2*k - g, -3*a = 5*k - 14. Let n(u) = u**2 + 4. Calculate the remainder when n(3) is divided by a.
5
Let g be (1 + (-1)/(-5))/((-81)/(-4590)). Let v = -30 + g. What is the remainder when v is divided by 5?
3
Let h(d) = -10*d**3 - 6*d**2 - 5*d. Let g(k) = -k**3 + 2*k**2 - k - 1. What is the remainder when g(-2) is divided by h(-1)?
8
Suppose 3*a = s + 8, -5*s - 10 = 3*a - 8*a. Suppose -126 = 3*t + 3*q, 11*q = 6*q + 20. Let y = 49 + t. What is the remainder when y is divided by s?
0
Suppose j = -c + 9, -2*c = -2*j - 5*c + 14. Calculate the remainder when 63 is divided by j.
11
Suppose 5*r - 205 = -2*a, -4*r - 7*a = -11*a - 164. Suppose -3 = 3*z - 5*u, -5*z - u - 3*u = 5. Calculate the remainder when r is divided by 0 - -21 - (z + 1).
20
Suppose 3*y - 43 = -0*j - j, 5*y - 100 = 4*j. Let t = 516 + -491. Calculate the remainder when t is divided by y.
9
Let j = -12 - -24. Let u(g) = -g**3 + 7*g**2 + g - 18. Let l be u(6). Let q = l - j. Calculate the remainder when 31 is divided by q.
7
Suppose 3*p - 17*p = -434. What is the remainder when 44 is divided by p?
13
Let g(h) = 171*h**3 - 18*h + 19. What is the remainder when g(1) is divided by 35?
32
What is the remainder when (47/2)/(22/4 + -5) is divided by 8?
7
Let z = 1 - 17. Let m = z + 90. Calculate the remainder when m is divided by 25.
24
Let v(u) = -u - 11. Let q be v(-15). Suppose -5*x + p = -q*p - 110, 5*x = 4*p + 115. What is the remainder when 53 is divided by x?
26
Let g = 31 - -4. Suppose 5*z + 5 = g. Let h = 7 + z. Calculate the remainder when 37 is divided by h.
11
Suppose 36 = -4*a - 7*t + 4*t, t - 4 = 0. Let v = a - -24. Suppose 0 = -3*q - 2*k + 5, 0*q - 5*k - 50 = -5*q. What is the remainder when v is divided by q?
2
Calculate the remainder when 788 is divided by (650/20 - 5/(-2)) + 1.
32
Let c(o) = -o**3 + 10*o**2 + 13*o + 10. Let v = -7 - -12. Suppose v*y = -n + 42, -4*n + 3*y = y - 58. What is the remainder when c(11) is divided by n?
15
Suppose 4*r - 41 = f, 4*r - 5*f + 20 = 49. Suppose 0 = 5*q + 22 - 7. Let d = q + 10. Calculate the remainder when r is divided by d.
4
Suppose 3*y + 12 = -3. What is the remainder when 24 + -4 + y/(-1) is divided by 7?
4
Let n be (12/(-20))/(3/(-30)). Suppose -22 = -3*r + r. Let k = r - n. Calculate the remainder when 22 is divided by k.
2
Suppose 0 = 5*c - 5, 2*z - 8*c - 21 = -3*c. Let g be (2 + -3)*-19 + -3. Let m = 8 + g. What is the remainder when m is divided by z?
11
Suppose 4*d - 889 = -173. Calculate the remainder when d is divided by 149.
30
What is the remainder when ((-2)/(-15) + 24560/300)*2 is divided by 35?
24
Let g(u) = -4*u**2 - 47*u + 64. What is the remainder when g(-12) is divided by 18?
16
Let o(x) = x**2 - 5*x + 48. Let k be o(0). What is the remainder when 136 is divided by 4/(k/(-63))*64/(-12)?
24
Let l(p) = -p**3 - 4*p**2 - 2*p + 2. Let c be l(-4). Suppose -u + 4 = -c. What is the remainder when u is divided by 8?
6
Suppose -2*b + 5*t = -610, -4*t = 5*b - 689 - 902. What is the remainder when b is divided by 29?
25
Suppose -5*h + 63 = -k, 0 = -h + 5*k - 8 + 11. What is the remainder when 90 is divided by h?
12
What is the remainder when (-254)/(-4) + (-7)/14 is divided by (-5 + -1)*(-231)/63?
19
Suppose 2320*i - 90 = 2314*i. Let u = -41 + 97. Calculate the remainder when u is divided by i.
11
What is the remainder when 418 is divided by 7 + -8 + 26 + -5?
18
Let t(l) = l**3 + 3*l**2 - 8*l - 7. Let q be t(4). Let a = 127 - q. What is the remainder when a is divided by 28?
26
Suppose -10*w + 45 + 5 = 0. Suppose g + 324 = w*g. Calculate the remainder when g is divided by 14.
11
Suppose 0 = -3*a - w + 160, -2*a - 5*w + 48 + 50 = 0. Let q = -33 + a. Calculate the remainder when q is divided by 1/(5/(-5)) + 9.
5
Let k be (-11 + (2 - 0))/(-1). Suppose -15*g = 37*g - 1456. Calculate the remainder when g is divided by 2/k - 532/(-36).
13
Suppose 0 = 7*k - 1258 - 93. What is the remainder when k is divided by 15?
13
Let g = 71 - 48. Suppose 3*u - 2*r + g = 0, u + r + 1 = -0*u. What is the remainder when 6 is divided by -1*(u + -2 + 3)?
2
Suppose 0 = 4*c + 2*x - 774, 2*c - 324 - 72 = -4*x. Calculate the remainder when c is divided by 44.
16
Let k(d) = 11*d + 128. Let a = 123 + -70. Calculate the remainder when a is divided by k(-9).
24
Let t(h) = -60*h - 528. Calculate the remainder when t(-14) is divided by 31.
2
Suppose -17*x - d = -14*x - 226, -2*x - 5*d = -168. Calculate the remainder when 579 is divided by x.
61
Let k(p) = p**3 + 6*p**2 - 13*p + 3. What is the remainder when 87 is divided by k(-7)?
42
Suppose 0*z = 3*z - 9. Suppose z*v - 10 = 8. Calculate the remainder when 10 is divided by 34/v + (-4)/6.
0
Suppose 8*a - 195 = 3*a. Let o be (-1 + 4)*(-1 + 20). Suppose -n = 5, -3*m - n = -4*n - o. Calculate the remainder when a is divided by m.
11
Let f be (16/(-3 + -1))/(-2). Suppose 26 + f = -4*c. Let u = c + 20. What is the remainder when u is divided by 4?
1
Suppose 3*o = 15 + 12. Suppose 4*c - 18 = 2*a, -2*c + c + 2*a + o = 0. Suppose -c*q = q - 200. Calculate the remainder when q is divided by 17.
16
Let t(b) = -3*b**2 + 81*b - 56. Calculate the remainder when t(25) is divided by 20.
14
Suppose 18*t = 41*t - 138. Calculate the remainder when 107 is divided by t.
5
Suppose -4*i = 2*y - 2374, -33*i + 32*i - y + 591 = 0. What is the remainder when i is divided by 46?
44
Suppose -98 = -2*w - 4*a, -3*w + 6*w + 2*a = 135. Let s = w + -12. Let q = -14 + s. Calculate the remainder when q is divided by 6.
5
Suppose p - 29 = -4*l, 4*l - 54 = p - 3*p. Calculate the remainder when 423 is divided by p.
23
Suppose 0 = 2*c + 3*b - 8*b - 24, -5*c - 2*b + 31 = 0. Suppose 0*o = 2*o - 8. Suppose -o*w - w = -135. Calculate the remainder when w is divided by c.
6
Suppose 558 = -6*a - 702. Let z = 42 - 17. Calculate the remainder when z is divided by (8/(-6))/(20/a).
11
Suppose 4*n - 56 - 16 = 4*t, 3*n + 2*t - 54 = 0. Calculate the remainder when 58 is divided by ((-2)/(-6))/(-1) - (-366)/n.
18
Suppose -4*o + 254 = -2*o + 4*z, -254 = -2*o - z. Suppose -p - 10*c + 8*c = -30, 3*p + 2*c = 82. What is the remainder when o is divided by p?
23
Let z(f) = 8*f**2 - 7. Calculate the remainder when 649 is divided by z(3).
64
Let i(p) = 821*p - 1636. Calculate the remainder when 50/1*(-2)/(-4) is divided by i(2).
1
Let l = -365 + 479. Calculate the remainder when l is divided by 13.
10
Suppose -12*a = -399 - 873. Calculate the remainder when a is divided by 18.
16
Suppose -5 = -5*k + 10, -5*y + 3*k = -736. What is the remainder when y is divided by ((-30)/8)/(2/(-16))?
29
Let r = 18 - -245. Calculate the remainder when r is divided by 17.
8
Let r(h) be the first derivative of h**2 + 11*h - 35. What is the remainder when r(-4) is divided by (-33)/(-9) + 4/(-6)?
0
Suppose -3*s - 2*g = -5, g - 2 = 3*s - 4*g. Let k be 0 + 3 - (s - 0). Suppose z - 10 = k*j, -z - 4*j + 14 = -2. Calculate the remainder when z is divided by 7.
5
Suppose 0 = 3*n - 3*f - 333, f - 106 - 358 = -4*n. What is the remainder when n is divided by 47?
21
Suppose 2*s - 6 = 2. Suppose 2*z - 93 - 25 = 0. Suppose z = 6*a - 2*a - i, 0 = -5*i + 5. What is the remainder when a is divided by s?
3
Calculate the remainder when 192 is divided by (-972)/(-15) - (80/(-25) - -3)