 Calculate the remainder when 66 is divided by k/4 - (-102)/4.
16
Let v(b) = -b**2 + 7*b - 6. Let a be v(6). Suppose 3*j + 3*z + 0*z + 3 = a, j = 4*z - 11. What is the remainder when 50 is divided by 12 + (-4 - -2 - j)?
11
Let l(c) = -c - 5. Let j be l(4). Let o = 19 - j. What is the remainder when 53 is divided by o?
25
Suppose -4 = 3*n - 4*n. Let a be (14 - n)*(-3)/(-5). Suppose 4*k = i - a - 7, 0 = 4*i - k - 67. What is the remainder when i is divided by 9?
8
Let y = 66 - 70. Let k = 10 + y. Calculate the remainder when 22 is divided by k.
4
Let c be (306/(-30))/((-2)/10). Suppose 2*a + c - 93 = 0. Suppose -3*d + 15 = -21. Calculate the remainder when a is divided by d.
9
Calculate the remainder when 45 is divided by (-5 - -1)/(-12)*69.
22
Let c be (-373)/3 + (1 - (-4)/(-6)). Calculate the remainder when (0 + c)*((-4 - 3) + 6) is divided by 42.
40
Let k = -57 + 45. Calculate the remainder when (39/k)/((-4)/32) is divided by 7.
5
Let g = 42 - 15. Suppose -2*d - t = -0*d - 35, -4*d - 4*t + 80 = 0. What is the remainder when g is divided by d?
12
Suppose 3*f = 8*f. Suppose 0 = -0*c + 2*c - 1090. Suppose 3*h - 285 = -5*x, -5*h - 3*x + c - 70 = f. What is the remainder when h is divided by 24?
23
Let x(u) = 9*u - 2*u + 2*u + u. Let i be x(4). What is the remainder when (1 - -44)*16/i is divided by 4?
2
Suppose 2*c + 4 + 10 = 0. Let k(r) = 2*r**2 + 3*r + 7. Let p be k(c). Suppose 5*j + 12 = x, 4*j = 3*x + j - p. Calculate the remainder when x is divided by 11.
10
Suppose -43*v + 114 = -2423. Calculate the remainder when v is divided by 24.
11
What is the remainder when 297 is divided by (1 - -17)*4/6?
9
Let p = -67 - -109. Suppose -z = -14 + 6. Let k = z + p. What is the remainder when k is divided by 13?
11
Suppose -20 = 5*z, 3*w + 119 = -2*z + 450. Calculate the remainder when w is divided by 39.
35
Suppose -13*o = o - 42. What is the remainder when 140 is divided by o?
2
Suppose -k - 4*k = 3*i - 70, 0 = 2*k - 3*i - 28. Let f(d) = -d**2 - 34*d + 138. What is the remainder when f(0) is divided by k?
12
Suppose -5*q = 0, g + 2*q - 1 = 3. Suppose -g*r - 103 + 7 = 0. What is the remainder when 93 is divided by (-594)/r - 9/12?
21
Let b = 393 + -123. Suppose -3*g = 5*a - b, 2*a - g = 15 + 82. What is the remainder when 101 is divided by a?
50
Suppose 2*l - 56 = 2*r, -9*r = 5*l - 5*r - 158. What is the remainder when l is divided by 4?
2
Suppose 2*l + o - 66 = 0, -27*l - 121 = -30*l + 4*o. What is the remainder when l is divided by 14?
7
Suppose -2*j + 47 = 3*g, 0 = 5*j - g + 3*g - 134. Let l = -78 - -159. Calculate the remainder when l is divided by j.
25
What is the remainder when 48 is divided by (3 + 0)*-2 + 16?
8
Suppose 0 = -96*u + 18*u - 248*u + 1630. Let h(v) = -v + 5. Calculate the remainder when u is divided by h(4).
0
Suppose 12*n - 25*n = -962. Calculate the remainder when n is divided by 25.
24
Suppose 342 = 2*j + 4*j. Let q be (-1)/2 + j/(-6). Let c = -5 - q. Calculate the remainder when 19 is divided by c.
4
Calculate the remainder when -1*(1 - -1) + 33 is divided by 16.
15
Calculate the remainder when 148 is divided by (7 + 18 - 4) + -4.
12
Let l(z) = 2*z**2 - 48*z + 15. Calculate the remainder when 319 is divided by l(25).
59
Suppose 0 = 3*y + 2*b + 13, -5 = y + b - 0*b. Let h(z) = 21*z**2 + z. What is the remainder when h(y) is divided by 47?
45
Let u(n) = -97*n - 1. What is the remainder when u(-1) is divided by 48?
0
Let m(t) = -t**3 + t + 26. Let k(c) = -c**2 + 13*c + 7. What is the remainder when m(0) is divided by k(13)?
5
Let t(v) = -6*v**3 - 2*v**2 + 4*v + 3. Let n be t(-2). Suppose -112 = -7*x - n. Calculate the remainder when x is divided by 7.
4
Suppose 9*a - 3*a = 6. Let g(u) = 6*u**2 - u + 1. Suppose -c - 3*w + 24 = 0, 4*c + 0*c - 80 = 4*w. What is the remainder when c is divided by g(a)?
3
Suppose 2*i + 10*u - 94 = 12*u, i - 46 = 2*u. Calculate the remainder when 225 is divided by i.
33
Let n(s) = -s**3 - 13*s**2 + 7*s - 18. Let t be n(-14). Let u = -67 + t. Let g(d) = d**2 + d + 23. What is the remainder when g(0) is divided by u?
10
Suppose -123 = -2*m + m - 3*r, 0 = r - 2. What is the remainder when m is divided by 52?
13
Calculate the remainder when 37 is divided by (1 + 33/(-6))*48/(-18).
1
Suppose 3*p + 3*l = 18, 0*p - 3*p + 11 = -4*l. Suppose 0 = p*i - 10*i + 90. Let x(s) = 6*s**2 + 2*s. What is the remainder when x(-4) is divided by i?
16
Let l = 135 - 20. Suppose 34 = c - 0*k - 3*k, 0 = 3*c + 4*k - l. What is the remainder when 145 is divided by c?
34
Let k(l) = 16*l - 22. Let w be (0 + 30/(-9))*3/(-2). Calculate the remainder when k(w) is divided by 20.
18
Let b(o) = o**3 - 58*o**2 + 114*o - 74. What is the remainder when b(56) is divided by 18?
2
Let i = 1 - 5. Let t = i - -42. Suppose 1 = 2*n + 451*c - 454*c, -4*n - 2*c + 42 = 0. What is the remainder when t is divided by n?
6
Suppose 120 = 4*n - 4*s, 4*n - 5*s = 9*n - 160. What is the remainder when 48 is divided by n?
17
Suppose 0 = -20*j - 52 + 192. What is the remainder when (1 - 0)/((-1)/(-18)) is divided by j?
4
Let d = -31 + 34. Suppose 2*y + 182 = 2*j, -d*y = 2*y + 20. What is the remainder when j is divided by 22?
21
Suppose 6 = 2*f + 8. Let q(o) = 75*o**2 - 1. Calculate the remainder when q(f) is divided by 15.
14
Let a = -359 + 363. Suppose 4*u = 4*w + 28, -2*u + 39 = -0*w + 3*w. Calculate the remainder when u is divided by a.
0
Suppose -19 = -4*s + 5. Suppose 0 = -s*b + 82 + 38. What is the remainder when 137 is divided by b?
17
What is the remainder when 84 is divided by 1*(-4 + (-270)/(-9))?
6
Let v be (-2)/6 - (-77)/(-3). Let s = -13 - v. Suppose 5*o - 4*o - c = 6, o = -3*c + 14. What is the remainder when s is divided by o?
5
Suppose 5*g - 2*m - 48 = 0, 40 = 4*g - 2*m + 2. Suppose -3*h = -l - l + 84, -3*l + h = -133. Let p = -16 + l. Calculate the remainder when p is divided by g.
9
Let k = 46 - 31. Suppose -3*s = 4*p, -3*s - 4*p + k = -5*p. Suppose 24 = -4*m + 80. Calculate the remainder when m is divided by s.
2
Suppose 0 = -3*k - 3*g + 123, 4*g = 4*k + 5*g - 176. What is the remainder when 176 is divided by k?
41
Suppose 78 = 5*a - x - 15, -2*a - 3*x = -44. Let h = -4413 - -4417. Calculate the remainder when a is divided by h.
3
Let o(d) = -13*d + 3. Suppose -2 = -s + 3*p, 6 = s + 2*p - 6. Suppose -10*w + s*w - 10 = 0. Calculate the remainder when o(w) is divided by 23.
22
Suppose 3*x = 5*m + 14 - 0, -38 = -5*x + m. Let g = x - 4. Let h(p) = 3*p + 11. What is the remainder when h(-2) is divided by g?
1
Let k(b) = -2*b - 40. What is the remainder when 214 is divided by k(-38)?
34
Let f(p) = 8*p - 10. Let h be f(-8). Let r = h + 137. Suppose 2*n + 145 = 5*b, -4*n + r = 5*b - 52. Calculate the remainder when b is divided by 7.
6
Let j = 9 + -15. Let n be 22/6 + j/(-18). Suppose 0*c + 4*c = -n*d + 44, c - 5*d = -7. Calculate the remainder when 21 is divided by c.
5
Let w(y) = 13*y + 2. Let k be w(-2). Let z be (-90)/k + 1/4. Suppose 2*j = -4*x + 64, 66 = 3*j - 0*j - z*x. What is the remainder when 51 is divided by j?
25
Let j(k) = k**3 - 8*k**2 - 22*k + 21. Let r be j(10). What is the remainder when 1 + -1 + r - -124 is divided by 21?
20
Let y be (-6 + 14)/(1 + (1 - 0)). Suppose -15 = -3*q + 2*q + 3*c, 2*c = -4*q + y. Calculate the remainder when 5 is divided by q.
2
Suppose 0 = 3*d - 3*s - 18, -13 = -3*d + 4*s + 2. Suppose -y + d = 2. Calculate the remainder when 18 is divided by y.
4
Let t(h) = -h**2 - 11*h + 14. Let j be t(-11). Suppose u - j = -5. What is the remainder when 23 is divided by (-24)/u*(0 - 3)?
7
Suppose -22226 - 44023 = -17*c. Calculate the remainder when c is divided by 39.
36
Let k(p) = p**3 + 6*p**2 - 4*p + 44. What is the remainder when 524 is divided by k(0)?
40
Suppose -2*k - 2*w - 98 = -3*k, 3*k - w = 274. Let v = 22 - 16. What is the remainder when (k/(-3))/(0 - 2) is divided by v?
3
Suppose -276 - 126 = -6*j. Calculate the remainder when 465 is divided by j.
63
Suppose -2*i = 2*i - 52. Suppose 5*k = m - 6 - i, k = m - 7. Calculate the remainder when 5 is divided by m.
1
Let l be 3/(-6) + 43/2. Let t be (1 + l)/(4/8). Let q = 63 - t. Calculate the remainder when 35 is divided by q.
16
Suppose -j + 463 = 4*j + s, -4*j + 377 = 3*s. Calculate the remainder when j is divided by (-6)/(-4)*(-2232)/(-108).
30
Let p(x) =