6
Let k be -52*(3/(-6) + -2). Let t = k + -38. Suppose 2*q = -2*q + t. Calculate the remainder when 67 is divided by q.
21
Let u be (-1 - (-9)/(-2))*-2. Let s = u - 2. What is the remainder when -2 + (-13)/((-65)/90) is divided by s?
7
Suppose -17 = -3*x + 4*l, -2*l + 8 = 2*x - 3*l. Let n = x - 5. What is the remainder when 7 is divided by 2/(-5)*(-7 - n)?
1
Let b = 72 - 57. Let q(m) = 44*m**3 - 2*m**2 + 1. Calculate the remainder when q(1) is divided by b.
13
Let n = 9 - 6. Suppose n*p + 76 = 5*p. What is the remainder when p is divided by 20?
18
Let p be (1 - -14)*46/3. Suppose 3*g + p = 8*g. What is the remainder when g is divided by 16?
14
Let q(l) = -l**3 + 11*l**2 - l + 16. Suppose -z = -52 + 8. Suppose 0 = -0*p + 4*p - z. What is the remainder when 8 is divided by q(p)?
3
Suppose 35 = p + g, -5*p + 170 - 1 = 2*g. Calculate the remainder when p is divided by 6.
3
Let d(v) = -v**2 - 8*v + 6. Suppose -4*r = r - 105. What is the remainder when r is divided by d(-8)?
3
Suppose 0 = 2*g - k + 3*k - 84, -5*g = k - 230. Suppose -3*t - 5*z = -g, t + 2 - 7 = z. Calculate the remainder when t is divided by 5.
4
Suppose 0 = -p - 2*v + 38, 81 = 2*p - 0*p + 5*v. Calculate the remainder when p is divided by 8.
4
Suppose -4*h = -0*h - 344. What is the remainder when h is divided by 29?
28
Let f(o) = o**2 - 6*o - 3. What is the remainder when f(-2) is divided by 7?
6
Let v be (0 + -5)*6/(-5). Let q = 1 - -3. Suppose -q*h - 105 = -5*m, -m = -h - v - 16. What is the remainder when 32 is divided by m?
15
Suppose -4*p + 96 = -p. Let g = p - 29. Suppose 4*o + 5*z = 54, 2*o + 2*z = -2*z + 30. What is the remainder when o is divided by g?
2
Let m = 0 - -1. Suppose -2*n - m = 3. What is the remainder when 1 is divided by 1 - (0/n - 0)?
0
Let q(d) = d + 1. Let u be q(-2). Let b(v) = -v**3 + 4*v**2 + 7*v - 5. Calculate the remainder when u/(-8) - (-1070)/16 is divided by b(4).
21
Let m = 22 + -40. Let g = 55 - m. Calculate the remainder when g is divided by 25.
23
Let x = 2 - -4. What is the remainder when 23 is divided by x?
5
Suppose -2*n - 5 = -39. Suppose -9*c + 201 = -6*c + 3*m, -2*c + 136 = 4*m. What is the remainder when c is divided by n?
15
Let b = -50 + 64. Calculate the remainder when 151 is divided by b.
11
Suppose -3*y - 3*l + 77 = -2*l, 4*l + 97 = 3*y. Suppose -2*s = -12 - 16. Calculate the remainder when y is divided by s.
13
Suppose 0 = 3*a - 26 - 28. Suppose 11*n - 235 = 546. What is the remainder when n is divided by a?
17
Suppose 24 = 3*f + 3*f. What is the remainder when 6 is divided by f?
2
What is the remainder when 385/14 - (-2)/(-4) is divided by 7?
6
Suppose 0 = -u - 3 + 28. Let x = -19 - -67. Calculate the remainder when x is divided by u.
23
Calculate the remainder when 1/3 + (-119)/(-3) is divided by -1 - -1 - (-30 + 9).
19
Calculate the remainder when 169 is divided by 9 + (-95)/10 - (-174)/4.
40
Let y be 36*((-48)/9)/4. Let a = 94 + y. Calculate the remainder when a is divided by 16.
14
Calculate the remainder when (-6)/9 + (-40)/(-6) is divided by (5/(-2))/(2/(-4)).
1
Suppose 2*u - 4 + 2 = 0. Let z(t) = 2*t**2 + 1. What is the remainder when 7 is divided by z(u)?
1
Let u = 33 - 12. What is the remainder when 80 is divided by u?
17
Let i(a) = -5*a - 1. Suppose 2*c = 3*h + 19, -h - 13 = -2*c - 2*c. Let o be 54/(-10) + (-2)/h. Calculate the remainder when i(o) is divided by 13.
11
Let h(q) = -q**2 - 7*q + 4. Let t(p) be the third derivative of p**4/24 + 2*p**3/3 + p**2. Calculate the remainder when t(7) is divided by h(-7).
3
Let m(n) = n**3 - 6*n**2 + 4*n - 4. Let r be m(4). Let b = -3 - r. What is the remainder when b is divided by 4?
1
Suppose 0*u = 4*u - 404. Calculate the remainder when u is divided by 13.
10
Let i = 16 + -9. Suppose i = 2*z - 7. What is the remainder when 18/5*50/15 is divided by z?
5
Let w(u) = -u + 1. Let j be w(2). What is the remainder when 36 is divided by (j + 2)*(-65)/(-5)?
10
Suppose 8*q = 3*q + 220. Suppose h + 2 = 5*n, 5*n + 3 = -3*h - 3. Let o(i) = 4*i**2 - 1. What is the remainder when q is divided by o(h)?
14
Suppose -4*r + 5*q = -58 - 32, 0 = r - q - 23. Calculate the remainder when 74 is divided by r.
24
Let o = -24 + 11. Let k(i) = -17*i - 3. Let d be k(-2). Let c = d + o. What is the remainder when c is divided by 10?
8
Suppose -2*r - 22 = -l + 30, 3*r + l = -73. Let u = -8 - r. What is the remainder when u is divided by 9?
8
Let l(w) = -5*w**3 - 3*w**2 - 3*w - 2. Let b(d) = -10*d**3 + d**2 + d + 1. Calculate the remainder when l(-2) is divided by b(-1).
10
Suppose -13 = -2*m + 5. Suppose 0 = -4*b - 0*b + 20. Calculate the remainder when (-20)/(-3)*12/b is divided by m.
7
Let b = -6 + 36. What is the remainder when b is divided by 16?
14
Suppose 5*v - 223 = -4*k, 0 = 5*v - k - 4*k - 250. Calculate the remainder when v is divided by 1/(0 + (-2)/(-32)).
15
Suppose 2*k - 81 = -7*q + 2*q, k - 43 = -5*q. Suppose s + w = -k + 6, s - w = -26. Let b = s - -61. What is the remainder when b is divided by 11?
10
What is the remainder when 79 is divided by 0/3 - (-17 - -7)?
9
Let x = 8 - 3. Suppose 0 = 2*k + 6, -4*k - 44 + 147 = x*m. What is the remainder when m is divided by 6?
5
Let j(m) be the first derivative of -m**2 - 10*m + 1. Let l be j(-8). What is the remainder when l/4*32/3 is divided by 9?
7
Let q(j) = -j**3 - 5*j**2 + 6*j + 6. Suppose z - 12 = 3*z. What is the remainder when ((-17)/2)/((-2)/4) is divided by q(z)?
5
Suppose 4*l = -4*r + 68, 3*r + 2*r = 0. What is the remainder when 24 is divided by l?
7
Let c be -1*1*-4*-1. Let w(n) = -n**3 - 4*n**2 - 2*n - 3. Let h be w(c). Suppose -h*d = -4*d - 7. What is the remainder when 25 is divided by d?
4
Suppose -4*m = -4*s + 112, 0 = -2*s + 6*s - 8. Let b(r) = r + 39. Calculate the remainder when b(0) is divided by 3*m/(-6) + -3.
9
Let g(o) = -o**3 + o**2 + o. Let b be g(-2). Suppose -b = -h + 3. What is the remainder when 37 is divided by h?
11
Let j(s) = 2*s**2 - 7*s + 5. Let l be (-7)/(-3) + 1/(-3). Suppose 0 = -4*h + 4, l*m + h = -2*h + 25. Calculate the remainder when j(5) is divided by m.
9
Let c(k) = -2*k + 7. Let t be c(-6). Suppose -2*n + 80 - 30 = 0. Suppose 4*f - n = t. What is the remainder when 20 is divided by f?
9
Let l = 60 - 36. What is the remainder when 47 is divided by l?
23
Let x(w) = -w**2 + 15*w - 19. What is the remainder when x(13) is divided by 5?
2
Suppose 9 = -2*w + 5*f, -f = 5*w - 2*f - 12. Suppose -2*d + w*d = 19. Calculate the remainder when 35 is divided by d.
16
Suppose 640 = 3*l + 2*l. Suppose -5*p + l = -2. What is the remainder when p is divided by 14?
12
Let d(m) = -m**2 - 8*m - 6. Let i be d(-6). Let s = i - -3. Suppose -2*o - 3*k = -61, o - 11 = 6*k - k. Calculate the remainder when o is divided by s.
8
What is the remainder when 290 is divided by 391/8 - 14/(-112)?
45
Suppose 0*d - 28 = -4*d. Calculate the remainder when d is divided by 3.
1
Suppose -19 = a + 3*r, -5*a - 4*r + 29 - 69 = 0. Let b = 12 + a. Calculate the remainder when 23 is divided by b.
7
Suppose 4*c - 3*k - 131 = 0, -c - 3*c = -5*k - 141. What is the remainder when 56 is divided by c?
27
Suppose 3*h - 80 = -4*l, -5*l + 2*h + 107 = 4*h. What is the remainder when 63 is divided by l?
17
Suppose -5*a - 30 = -470. Suppose 2*u - a = -2*u. Calculate the remainder when u is divided by 8.
6
Suppose 0*z - 20 = 4*z, 4*z = -2*x + 2. Let r = 7 - 5. Suppose 2*y - 3*v - 13 = 11, r*y - 2*v = 20. Calculate the remainder when x is divided by y.
5
Suppose 3 = o - 8. Suppose -5*b - 24 = -3*b. Calculate the remainder when (2 + b)*(-2)/1 is divided by o.
9
Suppose 3*q - 4*q = -4. Suppose q*y - 317 = 107. Suppose -4*s - 34 + y = 0. What is the remainder when 53 is divided by s?
17
Suppose -5*f - 5 = -70. Let n(k) = 3*k + 8. Calculate the remainder when n(5) is divided by f.
10
Suppose -695 + 2921 = 14*c. What is the remainder when c is divided by 10?
9
Let h = -6 + 33. What is the remainder when (-4)/(-34) + (-3972)/(-51) is divided by h?
24
Suppose -2*v + 4*l + 19 = 3*v, 3*v = l + 10. Suppose 0 = n - v - 1. What is the remainder when 7 is divided by n?
3
Suppose 0 = 4*v + 4*k - 616, 4*v + 5*k = -0*v + 617. Calculate the remainder when v is divided by 31.
29
Suppose 2*l = -6*o + 2*o + 12, -4*o = -4. Suppose -2*q = 4*t - 69 - 147, l*q - 47 = -t. Let a = t - 34. Ca