. Let m be i(-6). Suppose m*h = -4*h + 54. Suppose 5*q - 9 = 121. What is the remainder when q is divided by h?
8
Let u = 112 + -86. What is the remainder when u is divided by 12?
2
Suppose -l = 2*l + 72. Let d be (-252)/(-7) + 1 + -3. Let y = l + d. Calculate the remainder when 39 is divided by y.
9
Let a(k) be the third derivative of -k**6/120 - k**5/10 + k**3/2 - 3*k**2. What is the remainder when a(-7) is divided by 18?
16
Let z(u) = 8*u - 47. Let g(y) = 8*y - 2. What is the remainder when z(11) is divided by g(2)?
13
Suppose 3 = 4*t - 61. Suppose 2*h - 7*h + 225 = 0. What is the remainder when h is divided by t?
13
Suppose 0 = 3*s - 2 - 4. Suppose g - 4 + s = 0. Calculate the remainder when g is divided by 1.
0
Let d(b) = b + 6. Let o(p) = -p**2 + 5*p + 22. What is the remainder when o(5) is divided by d(0)?
4
Let f(u) = -u**3 - 2*u**2 - 2*u - 2. Let h be f(-2). Suppose 105 = 5*j - h*j. What is the remainder when j is divided by (-1 + 22/10)*10?
11
Let m be ((-8)/12)/((-3)/27). What is the remainder when 24 is divided by m - (8 - -4)/(-4)?
6
Let u = 96 + -88. Let p = 30 + -8. Calculate the remainder when p is divided by u.
6
Suppose -4*s - 5 = -1. Let u be s + (3 - -36)/1. Let k = u - 24. Calculate the remainder when 40 is divided by k.
12
Let a be (-16)/56 + 2/7. Suppose 4*w + a*w = 348. Calculate the remainder when w is divided by 30.
27
Let y(a) = a**3 + 5*a**2 + 2*a - 1. Suppose 9*f - 12 = 12*f. Suppose 0*i + 26 = 2*i. Calculate the remainder when i is divided by y(f).
6
Suppose -7*y = 2*y - 297. What is the remainder when 229 is divided by y?
31
Suppose 0 = -4*x - z + 20, -5*z - 9 = 3*x - 24. Calculate the remainder when 23 is divided by x.
3
Let c(i) = 58*i**3 - 2*i**2 + 1. Let o = 29 + 8. Suppose o = 2*d + 3*u + 4, -d + 19 = 4*u. Calculate the remainder when c(1) is divided by d.
12
Let v = 110 + -86. What is the remainder when v is divided by 9?
6
Suppose -4*f - 3 = -c - 2, 3*f + 43 = 4*c. What is the remainder when 62 is divided by c?
10
Let g(v) = -36*v**3 - v**2 - v - 1. What is the remainder when g(-1) is divided by 36/(-8)*(2 - 4)?
8
Suppose -3*l + 19 = 4. Suppose -20 - 4 = i. Let d = 38 + i. What is the remainder when d is divided by l?
4
Suppose 0 = -b - 8 + 13. What is the remainder when 13 is divided by b?
3
Let b(z) = z**2 + 6*z + 7. Let f be b(-5). Suppose w - f*w + 17 = 0. What is the remainder when 32 is divided by w?
15
Suppose -5*l + 4*h = -68, 2*l + 5*h - 63 = -l. What is the remainder when l is divided by 10?
6
Let q be 3/(-1) - -3 - -2. Let t be (-63 - 1)*(-1)/q. Suppose t = 5*g - 13. What is the remainder when 16 is divided by g?
7
Let h be (-2)/(20/16 - 1). What is the remainder when 3 is divided by 3/((-1)/(h/12))?
1
Suppose 0 = -2*y + 1 + 41. Suppose -4*v + 3 = -y. What is the remainder when 11 is divided by v?
5
Let s = -6 + 32. Calculate the remainder when s is divided by -3 + 15 - (1 - -2).
8
Suppose 5*u = u. Suppose 4*x - 92 - 48 = u. Calculate the remainder when x is divided by 12.
11
Suppose -2*r = 4*l + r + 12, -4*l + 20 = -5*r. Let j be 6/8*(-24 + l). What is the remainder when 0/(-1) - 1*j is divided by 10?
8
Let u = -2 + 2. Let c = u - -4. Calculate the remainder when 60/(-21)*(-21)/6 is divided by c.
2
Let r be (-1)/(-2) - 9/2. Let g(t) = -t**3 - 4*t**2 - 4*t - 3. Let n = -2 - -9. Calculate the remainder when g(r) is divided by n.
6
Let i(h) = h**2 - 5*h - 5. Let p(x) = 5*x - 1. Let y be p(-2). Let z = 15 + y. Calculate the remainder when i(7) is divided by z.
1
Suppose 19*b = 11*b + 112. What is the remainder when 26 is divided by b?
12
Suppose -5*d - 72 = -4*f - 381, 0 = 4*d + 2*f - 268. Calculate the remainder when d is divided by 22 + 2/(-8) + (-9)/(-36).
21
Suppose 1 + 2 = 3*z. Suppose -w + 63 = 2*w - o, 0 = 4*w - 2*o - 86. Suppose -w = -t - z. What is the remainder when 37 is divided by t?
18
Let t(u) = 4*u**2 - u - 11. Let k be (3 + 0)*-1 + 9. Calculate the remainder when t(k) is divided by 32.
31
Let t be (-2 - -2) + (-1 - 0). Suppose 13 + 29 = 6*d. What is the remainder when t/(-3) - 64/(-6) is divided by d?
4
Let j = -45 + 69. Let r(b) = 9*b**2 + 3*b - 1. What is the remainder when r(-3) is divided by j?
23
Let j = 117 - 96. What is the remainder when 272 is divided by j?
20
Let h = -8 - -20. Suppose -5*o = -w + 15, -4*w - o - 1 - 2 = 0. Suppose w = k + 7 - 42. What is the remainder when k is divided by h?
11
Let i(c) be the first derivative of 2*c**3/3 + c**2/2 + 2*c - 4. Let o be i(5). Suppose 0 = 4*b - 35 - o. What is the remainder when 67 is divided by b?
21
Let j = -89 + 129. Suppose 0*k + j = 2*k. Calculate the remainder when k is divided by 7.
6
Let q = 24 - 6. Suppose -x + 4*x = 0. Suppose x = -4*k - k + 175. What is the remainder when k is divided by q?
17
Let r = -82 - -144. What is the remainder when r is divided by 21?
20
Let g = -4 + 7. Let d be 4/(-6)*3 - -5. What is the remainder when g is divided by (-4)/d*6/(-4)?
1
Suppose 3*z = 6*z + 516. Let w = -114 - z. Suppose 4*d + 19 - 99 = 0. What is the remainder when w is divided by d?
18
Suppose -2*s = -3*s - 4. Let o(i) = -5*i + 2. What is the remainder when o(s) is divided by (-32)/6*6/(-4)?
6
Let j = 59 + -53. Calculate the remainder when 106 is divided by j.
4
Suppose 3*y - 92 = 5*a - a, 56 = -2*a + 4*y. Let d be (-2)/(-2 - a/11). Let l = -9 + d. What is the remainder when 7 is divided by l?
1
Let u be 558/24 + (-1)/4. What is the remainder when 49 is divided by u + 5 - 3/1?
24
Calculate the remainder when (1/(-3))/(2/(-492)) is divided by 21.
19
Suppose q + 24 = 3*q. Calculate the remainder when 21 is divided by q.
9
Let k(p) = -p**3 + 6*p**2 + 8*p - 3. What is the remainder when 7 is divided by k(7)?
3
Let q = 148 + -105. Let i = 28 + -17. What is the remainder when q is divided by i?
10
Suppose 5*y + 40 = -5*u, 5*u + 0*u = 2*y - 5. Suppose 0*a - a + 12 = 0. What is the remainder when (4/2 - -23) + u is divided by a?
10
Let z(u) = -u**3 + 8*u**2 - 13*u + 3. What is the remainder when z(4) is divided by 6?
3
Suppose 4*m - 43 = -5*r, 5*m + 0 = 3*r - 48. Suppose -h = 5*c + 238, 3*c - 2*h = -99 - 36. Let z = c - -78. What is the remainder when z is divided by r?
9
Let l = 3 - -49. Suppose -4*j + 6 + 6 = 0. Suppose 0*t - t - 1 = 0, -w - j*t + 15 = 0. Calculate the remainder when l is divided by w.
16
Let j = 34 - 8. What is the remainder when j is divided by 9?
8
Suppose 2*p - 2*k - 8 = 0, -2*p - 4*k = 3*p - 11. Suppose 3*c - c - 8 = -p*l, 0 = -3*c + 5*l - 7. Let i = c - -2. What is the remainder when 8 is divided by i?
2
Suppose 0 = -0*d + 2*d - 94. Calculate the remainder when d is divided by 6.
5
Let j(g) = 3*g - 13. Calculate the remainder when 39 is divided by j(7).
7
Suppose 0 = -2*q + 4*q - 122. Suppose -2*w = 2*l - 46, l - 15 = -3*w + 6. Suppose 3*c - 39 = l. What is the remainder when q is divided by c?
19
Suppose -16*f + 89 = -583. Calculate the remainder when 165 is divided by f.
39
Let f(s) be the third derivative of s**5/30 - s**4/12 - s**3/6 - 2*s**2. What is the remainder when 4 is divided by f(2)?
1
Suppose 0 = j + 2*m - 3 + 6, -m + 11 = 3*j. Calculate the remainder when 8 is divided by j.
3
Suppose -3*j + 2*z + 68 = 0, -2*j + 5*z + 52 = 2*z. Suppose -j = -4*y, -3*i + 3*y + 18 = -9. Calculate the remainder when i is divided by 4.
2
Suppose -6*c + 5*c = -14. Calculate the remainder when c is divided by 6.
2
Suppose 4*m - 70 - 30 = 0. Calculate the remainder when 96 is divided by m.
21
Suppose u = 3*w + 183, 4*u + 183 = -4*w + w. Let c(q) = -q**3 + 2*q**2 + 3*q + 3. Calculate the remainder when c(-2) is divided by w/(-9) - 2/(-9).
6
Suppose -3*h - 4*v - 1 = 4, 2*v + 4 = -2*h. Calculate the remainder when 7 is divided by 1/(h*(-2)/24).
3
Suppose -9*m + 8*m + 24 = 0. Calculate the remainder when 69 is divided by m.
21
Let m be 1/4 - 1275/(-20). Let l = 7 + 5. What is the remainder when (-4)/(-6) - m/(-3) is divided by l?
10
Suppose -2*x + 76 = -0*l + 2*l, 4*x - 156 = -3*l. Calculate the remainder when x is divided by 15.
12
Suppose 275 = 5*p - 5*c, 0 = -2*p + 5*c + 63 + 47. Calculate the remainder when p is divided by 19.
17
Suppose 3*x + 3*c = 6*x - 12, 4*x - 3*c = 21. Calculate the remainder when x - (0 + -4 - -2) is divided by (2/(-4))/(1/(-12)).
5
Let i(p) = -p**3 - 9*p**2 + 12. Suppose 4*a + s = 7*a - 67,