Let m = 12 + -5. What is the remainder when (m - 4)*(-134)/(-6) is divided by 24?
19
Let n(u) = u**2 - 6*u + 3. What is the remainder when 357 is divided by n(8)?
15
Let z(x) = x**2 - 9*x + 11. Let n be 12/(-9) + 3/9 - -10. Suppose 3*s + o = 5*o + 38, -25 = -5*s - o. Calculate the remainder when z(n) is divided by s.
5
Let y(d) = -2*d + 6. Let w be y(-3). Suppose 0 = -w*z + 16*z - 572. Calculate the remainder when z is divided by 36.
35
Let j = -3 + 17. Let w = 38 - j. What is the remainder when 63 is divided by w?
15
Let w = 797 + -383. Calculate the remainder when w is divided by 52.
50
Let w be (-15)/45*183/2*-4. Let d = w + -81. What is the remainder when d is divided by 15?
11
Let o(i) = -6*i + 4. Suppose -3 - 18 = 7*u. Calculate the remainder when 87 is divided by o(u).
21
Suppose -3*c - 4 = -5*g, -4*g + c = -3*c. Let w(h) = 4 + 11*h - 5 - h**g + 4. What is the remainder when 23 is divided by w(10)?
10
Suppose -2*b = f - 0*b - 6, b = -5*f + 57. What is the remainder when f is divided by -5 - -11*(7 + -6)/1?
0
Let o = -3 - -31. Suppose n - r = 3*n - 14, 4*n = 2*r + o. Suppose 11 = 2*g - n. What is the remainder when 33 is divided by g?
6
Let d = -520 + 557. Calculate the remainder when d is divided by 10.
7
Let v be 0 - -2 - (1 - 1). Suppose -4*z + 0 + 12 = 3*j, j = -v*z + 6. Suppose -n + 5*x + 6 = 0, 3*x + j = 3. What is the remainder when 30 is divided by n?
8
Let v(x) be the second derivative of x**4/4 + x**2/2 - 5*x. Let p = 26 - 3. What is the remainder when p is divided by v(2)?
10
Let u = -21 - -13. Let i be 113/(-6) + u/48. Let w = i + 23. What is the remainder when 10 is divided by w?
2
Let x(d) = d**2 - 15*d + 48. Let m = 35 + -21. What is the remainder when 22/77 - (-136)/m is divided by x(11)?
2
Let a(w) = -6*w**2 - 3*w**3 + w**3 + 8*w - 2 + 4*w**3. Calculate the remainder when 39 is divided by a(3).
17
Let w(p) be the third derivative of p**4/24 + p**3/2 + 3*p**2. Suppose h - 5 - 2 = 0. Calculate the remainder when h is divided by w(0).
1
Suppose 3*f - 111 + 23 = -5*t, -t + 140 = 4*f. Let k(l) = 3*l - 7. Calculate the remainder when f is divided by k(7).
8
Let z be (-13 - -12)/((-2)/4). Suppose -142 = h - 5*o, 121 = -z*h + h - 2*o. Let a = h + 190. What is the remainder when a is divided by 22?
19
Let b(n) = 10*n. Suppose 3*r - 30 - 6 = 0. Calculate the remainder when r/102 - (-1 + (-2648)/34) is divided by b(2).
19
Let y be (495/(-1 + 6))/1. Let d = y + -36. What is the remainder when 251 is divided by d?
62
What is the remainder when 30/(-20) - 54/(-4) is divided by 3?
0
Let v be (5/6)/(2/12). Suppose 23*g + v = 24*g. Calculate the remainder when 12 is divided by g.
2
Suppose -2*c + 154 = -q + 14, 2*q = 0. Calculate the remainder when 139 is divided by c.
69
Let a(k) = -k**2 + 12*k - 27. Let c be a(6). Suppose 6 = c*r - 57. Suppose -4*x = 2*s + x - 63, 2*s = 2*x + 28. What is the remainder when s is divided by r?
5
Suppose 0 = 14*h + 5186 - 25332. What is the remainder when h is divided by 14?
11
Suppose -4*i - 36 = -m - 99, 5*i - m - 79 = 0. Let v(r) = -4*r + 258. What is the remainder when v(49) is divided by i?
14
Let d(r) = 66*r**3 - 2*r + 1. Let x be d(1). Suppose -x = -5*i + 2*s, i + 0*s - 4*s = 13. What is the remainder when 7/(-21)*-3 - 5*-10 is divided by i?
12
Let v(u) = u**3 - 58*u**2 - 55*u - 159. Suppose 0*x + 3*b + 52 = 2*x, 3*x - 56 = -b. Calculate the remainder when v(59) is divided by x.
17
What is the remainder when 149 is divided by (3/(-12)*-2 + 5)*8?
17
Suppose -2*d - 27*o + 25*o = -28, 2*d + 4*o - 18 = 0. What is the remainder when 318 is divided by d?
14
Let b(s) = s**3 - 11*s**2 - 7*s + 26. Calculate the remainder when b(12) is divided by 30.
26
Let d be (7/4)/((-3)/(-24)). Suppose 0 = -5*g - d + 39. What is the remainder when (-4)/18 - 325/(-45) is divided by g?
2
Suppose 0 = -3*d + 70 + 92. Let c = 39 + -24. What is the remainder when d is divided by c?
9
Let z = -1004 - -1046. Suppose -4*j + 2*j = -46. Calculate the remainder when z is divided by j.
19
Let z(c) = c**3 + 5*c**2 - 6*c + 6. Let g be z(-6). Suppose 20 = g*d - 4*d. What is the remainder when ((-2)/6)/(1/(-87)) is divided by d?
9
Suppose 0*y - 1 = p - 4*y, -5*y + 3 = -p. Let s(q) = -q + 16. Calculate the remainder when 13 is divided by s(p).
4
Let s = -9 - -15. Suppose 0 = -a - s + 23. Suppose 0 = -z + 6*z - 250. Calculate the remainder when z is divided by a.
16
Let j be (-24)/(-60)*(1 - -89). Let r = -32 + j. Suppose -4*t = -12, -v + 98 = v + r*t. What is the remainder when v is divided by 23?
20
Let h(g) = -11*g - 3. Calculate the remainder when (-56)/24*225/(-15) is divided by h(-2).
16
Let l be 1 - (27/(-3))/3. Suppose -2*c - 1 = -n, l*n - 14 = -c - c. Let a(v) = 9*v**2 + v - 1. Calculate the remainder when a(c) is divided by 5.
4
Let q(k) = -4*k - 5. Let z be q(-2). Suppose z*v + 3 = 15. Suppose 4*p + 6 = g, 0*g - 4*p - 36 = -v*g. Calculate the remainder when 15 is divided by g.
5
Suppose 2*r + 2*o - 48 = 0, r + 2*o = -5 + 33. What is the remainder when 87 is divided by r?
7
Let s = -23 - -82. Let u = -35 + s. What is the remainder when 117 is divided by u?
21
Let o = 78 - 46. Let j = -226 - -237. Calculate the remainder when o is divided by j.
10
Suppose 3*v + 56 = -u, 0*v + 72 = -2*u + 4*v. Suppose 2*z + 66 = 4*z. What is the remainder when z is divided by (-404)/u - (-4)/(-22)?
6
Let b = 100 - 47. Suppose 10*f - 6*f - 108 = 0. What is the remainder when b is divided by f?
26
Let m(p) = -4 + 3*p - 55*p**2 + 56*p**2 - 5*p. Calculate the remainder when 18 is divided by m(5).
7
Let q = 932 - 679. What is the remainder when q is divided by 86?
81
Suppose -9*p + 170 + 199 = 0. Calculate the remainder when 324 is divided by p.
37
Suppose 2*y - 5*y + 6 = 0, 52 = 2*v + 3*y. Calculate the remainder when 23 is divided by v.
0
Calculate the remainder when 11 is divided by (-3)/2*(23 + -25).
2
Let t = -40 - 24. Let a = t + 135. Calculate the remainder when a is divided by 18.
17
Suppose -r - 33 = -4*r. Calculate the remainder when (-345)/(-9) - 80/(-30) is divided by r.
8
Let v(m) = 2*m**2 + m + 1. Let y be v(4). Suppose 17 - y = -4*k. Let r(s) = -s**2 + 7*s - 6. Calculate the remainder when r(4) is divided by k.
1
Let i(f) = 24 - 8 - f**2 - 7 + 3*f - 3. Calculate the remainder when 8 is divided by i(3).
2
Suppose 7*z + 3*z = 60. Let h(w) be the third derivative of w**6/120 - w**5/12 - w**4/6 - w**3/6 + w**2. What is the remainder when 32 is divided by h(z)?
10
Let j(u) = u**3 - 5*u**2 - 2*u + 12. Calculate the remainder when 90/(4 - 1) + 3 is divided by j(0).
9
Suppose -2*r + 7*r - 90 = 0. Suppose 115 = 6*w - 77. Calculate the remainder when w is divided by r.
14
Let q be (0 - 0) + (-2)/(-1). Suppose 3*v - 42 = -2*z, 5*v = -0*z - q*z + 42. Calculate the remainder when 83 is divided by z.
20
Suppose -6*l + 375 = -513. What is the remainder when l is divided by 8?
4
Suppose -3*l = -0*l - 6, -t = -l - 57. What is the remainder when t is divided by 12?
11
Let j(p) = -5*p - 20. Let o = -8 - -3. Let r be j(o). Suppose -r*i = 5*c - 108 - 42, 3*c - 104 = 4*i. What is the remainder when c is divided by 18?
14
Let r(x) = x**3 + 43*x**2 + 42*x + 27. Calculate the remainder when 140 is divided by r(-42).
5
Suppose -m = -1 - 1. Let o = 76 - 70. Calculate the remainder when o is divided by m.
0
Suppose 3*f - 2*y + 24 = 0, 0 = -0*f - 3*f + 3*y - 24. Let g(s) = -s**3 - 8*s**2 + s + 16. What is the remainder when g(f) is divided by 4?
0
Suppose 371 = 5*p + 96. Calculate the remainder when 103 is divided by p.
48
Suppose 3*q = q + 50. Suppose -21*n + 103 = -44. Calculate the remainder when q is divided by n.
4
Let m be 0 - -4 - (0 + -1). Suppose -5*v - m*z + 115 = 0, -2*v + 6*z = 2*z - 28. What is the remainder when 138 is divided by v?
18
Let f = 74 - 63. Suppose -5 = -2*z + f. What is the remainder when 28 is divided by z?
4
Let q(t) = t**3 - 15*t**2 + 15*t - 11. Let z = 23 - 9. What is the remainder when 3 is divided by q(z)?
0
Let r = -518 - -540. Let b(n) = -2*n**3 - 4*n**2 + 7*n + 5. What is the remainder when b(-4) is divided by r?
19
Let z be (0 + 3)*3/3. Suppose -z*q + 12 = 3*q. Suppose 10*a = 5*a + q*o + 97, -3*o = a - 33. Calculate the remainder when a is divided by 11.
10
Let i(y) = -9*y**3 + 3*y**2 - 6*y + 2. Let f(b) = -10*b**3 + 2*b**2 -