?
23
Let h be (-66)/14 - (-2)/(-7). Let g(y) = -y**3 - 4*y**2 + 3*y + 7. What is the remainder when 49 is divided by g(h)?
15
Let q = -16 + 26. Suppose -a = -q + 61. Let k = a - -89. Calculate the remainder when k is divided by 13.
12
Let d be (-2)/(-4) - (-1)/(-2). Suppose 3*n - 5*x + x - 24 = d, -4*x + 12 = 0. What is the remainder when 35 is divided by n?
11
Suppose 3*v = -v + 32. Suppose -2*l = z - 41, 5*l + z - 101 = -2*z. Let p = 44 - l. Calculate the remainder when p is divided by v.
6
Let g(z) = -z**3 + 9*z**2 + 15*z - 7. What is the remainder when g(10) is divided by 23?
20
Let t = 12 + -9. Let o = -1 + t. What is the remainder when 6 is divided by o?
0
Let x(u) = -u**3 - u**2 + 4. Suppose 0 = -9*c + 8*c. Suppose 9 = -c*r + 3*r. Calculate the remainder when x(0) is divided by r.
1
Suppose 2*v = -3 + 13. Suppose 0 = v*o - 95 - 195. Calculate the remainder when o is divided by 30.
28
Suppose 2*i = -0 - 2. Calculate the remainder when (-6)/15*(i + -9) is divided by 3.
1
Suppose -2*n + 3*n - 338 = -5*b, -4*n + 79 = b. Calculate the remainder when b is divided by 36.
31
Let c = 73 + -17. Suppose c = 2*n + 2*n. Calculate the remainder when n is divided by 8.
6
Let x(n) = n**3 + 3*n**2 - 7*n - 4. Let b be x(-5). Let s = b + 50. What is the remainder when s is divided by 11?
9
Let d(y) = -y**3 + 10*y**2 - 8*y + 9. What is the remainder when d(9) is divided by 10?
8
Let z = -2 - -6. Let y(u) = -z - 8*u + 0 - u**2 - 1. What is the remainder when y(-5) is divided by 3?
1
Suppose 0 = -4*n + 3*n + 26. Calculate the remainder when 77 is divided by n.
25
What is the remainder when (4/(-10))/(-2*(-3)/(-210)) is divided by 9?
5
Suppose 4*k + 0*z = -3*z + 43, 0 = 2*k - z - 19. What is the remainder when 16 is divided by k?
6
Let g(r) be the first derivative of -2*r**2 - 7*r - 1. Calculate the remainder when g(-5) is divided by 3.
1
Suppose -2*x = -0*x - 122. Calculate the remainder when x is divided by 32.
29
Suppose -2*x - 3 = -5*g + x, 2*x = g + 5. Suppose -3*o + c + 78 = 0, -g*o + 5*c + 78 = -0. Calculate the remainder when o is divided by 14.
12
Suppose 0 = 5*x - 133 - 42. Let q be x/(-7)*(-2 + 1). Suppose -5*t = -5*h - 65, 4*h - 65 = -q*t - 0*h. Calculate the remainder when 50 is divided by t.
11
Let h be (73/(-3))/((-2)/(-6)). Suppose 0 = 5*d - q + 23 + 187, -3*d = -q + 124. Let k = d - h. Calculate the remainder when k is divided by 16.
14
Suppose -4*a + 25 = -3. What is the remainder when 13 is divided by a?
6
Calculate the remainder when 42 is divided by -1 + 1 - -1*11.
9
Suppose -5*b + 5 = -5. Let l(t) = 5 + 1 - 5 + 8*t**b. What is the remainder when l(-2) is divided by 17?
16
Let b = 11 - 0. Let f = -40 - -80. Suppose -3*u = -u - f. What is the remainder when u is divided by b?
9
Let m = -21 + 33. Calculate the remainder when 21 is divided by m.
9
Suppose 0*j - 155 = -5*j. Let u = -14 + j. What is the remainder when u is divided by 5?
2
Suppose 5*k + 4*o = 81, -5*k + 2*o + 2*o = -89. What is the remainder when k is divided by 9?
8
Let k(b) = b + 27. What is the remainder when k(6) is divided by 9?
6
Let q(x) = x**3 - 5*x**2 + 5*x - 1. Let z be q(5). Let t = z + -12. Suppose -4*u + 74 = 2*m, 3*m = -m - 5*u + 142. What is the remainder when m is divided by t?
9
Suppose 0 = 5*j - 14 - 6. Suppose -27 = -j*p + 5. Suppose 4 - 49 = -3*q. Calculate the remainder when q is divided by p.
7
Suppose -4*d = 4*s - 36, 4*s + 4*d = 3*s. What is the remainder when 22 + (-1 - 5)/6 is divided by s?
9
Let o(c) = -c**2 - 9*c + 1. Suppose 2*j = -5*t - 2*j - 65, 4*t + 3*j = -51. Let d be o(t). Calculate the remainder when 7 + d - (2 - 5) is divided by 4.
3
Suppose -9*b + 52 = 4*b. Calculate the remainder when 6 is divided by b.
2
Let z = 2 + -4. What is the remainder when 23 is divided by 13*z*2/(-4)?
10
Let k(f) = -8*f**2 - 11*f + 72. Let q(o) = -3*o**2 - 4*o + 24. Let t(s) = 4*k(s) - 11*q(s). Let p = 23 - 10. What is the remainder when t(0) is divided by p?
11
Suppose -5*c + 108 = -47. Let i = c + -3. What is the remainder when 82 is divided by i?
26
Let z(v) = -v**3 + 15*v**2 - 11*v + 20. Calculate the remainder when z(14) is divided by 16.
14
Suppose 13*u = 10*u + 6. Suppose -6 = -x - u. What is the remainder when -2 + (-3)/((-6)/16) is divided by x?
2
Let a(l) = 7*l + 4. Calculate the remainder when 48 is divided by a(3).
23
Let j(h) = 9*h**2 - 4*h + 2. Let p be j(3). Suppose 50 = 2*d + 2*k, d - 4*d + p = k. What is the remainder when d is divided by 8?
7
Suppose -r + 2 = -1. Calculate the remainder when r/1 - -30 - 2 is divided by 16.
15
Let h(u) = -u**3 + 3*u**2 + 13*u - 5. Calculate the remainder when 19 is divided by h(5).
9
Let k(p) = 3*p. Suppose -4*o - o = -2*v - 361, -o = -5*v - 86. Calculate the remainder when o is divided by k(8).
23
Let m = -21 - -69. Let l be (7 + 1)/(1 + -2). Let n = l + m. Calculate the remainder when n is divided by 21.
19
Let w(v) = -v**2 - 9*v + 12. Suppose -3*m + x = -7*m - 31, 4*x = -3*m - 7. Let g be w(m). Suppose -d = d - g. What is the remainder when d is divided by 4?
2
Let m = 3 - -7. Let c = 94 - -46. Suppose -2*z = 3*z - c. What is the remainder when z is divided by m?
8
Let y(a) = a - 4. Let j be y(6). Calculate the remainder when 8 is divided by (2 - (-3 + j)) + 0.
2
Let t = 54 - 29. Calculate the remainder when t is divided by 7.
4
Suppose 0 = 6*n - n - 45. Suppose 4*y + 17 = -11. Let q(a) = 2*a**2 + 9*a - 10. Calculate the remainder when q(y) is divided by n.
7
Suppose -2*s = -3*w - 31, 0 = 4*s + 2*w - w - 41. Suppose r + r = 0. Suppose r*q + 124 = 4*q. What is the remainder when q is divided by s?
9
Suppose 2 - 4 = -2*h. What is the remainder when h is divided by 1?
0
Let w = -7 - -1. Let r(d) = d**3 + 7*d**2 + 5*d + 7. What is the remainder when 37 is divided by r(w)?
11
Let l(r) = -r**2 + 10*r - 7. Let n be l(7). Let b = n - 7. Suppose 3*z = 5*z - 50. Calculate the remainder when z is divided by b.
4
Suppose 4*o = -2*i - 2*i + 92, 0 = -2*i + 3*o + 51. Calculate the remainder when i is divided by 16.
8
Let u(r) = 3*r + 13. Let f be u(-7). What is the remainder when f/(-10)*(18 - 8) is divided by 3?
2
Suppose -s = 2*y - 4*s - 83, y + 3*s = 64. Calculate the remainder when y is divided by 13.
10
Suppose 50 = -0*h + h. Calculate the remainder when h is divided by 340/25 - (-3)/(-5).
11
What is the remainder when 84 is divided by (-3)/(((-27)/(-87))/(-3))?
26
Let f(q) be the first derivative of -q**3/3 + 9*q**2/2 + q - 3. What is the remainder when f(5) is divided by 12?
9
What is the remainder when 48/9*18/12 is divided by 2?
0
Let b(q) = q**3 + 8*q**2 + 5*q - 5. Calculate the remainder when 62 is divided by b(-7).
8
Let h(u) = 2*u**3 + 2*u**2 - u - 7. What is the remainder when h(4) is divided by 50?
49
Suppose 0 = 5*k + 4*q - 675, -k - q - 5 + 141 = 0. Calculate the remainder when k is divided by 33.
32
Let c be -1*3*14/(-21). Suppose c*q = 3*q - 29. What is the remainder when q is divided by 15?
14
Let h = 7 + -4. Suppose h = -z, z - 45 = -5*f + 2*f. Suppose 4*v - 7 = -2*u + 7, -f = -4*v - 4*u. Calculate the remainder when 7 is divided by v.
1
What is the remainder when 25 is divided by 17/(-34) + 1 + (-11)/(-2)?
1
Let c(y) = -16*y + 8. Let v(f) = -f**3 - 6*f**2 + 5*f + 5. What is the remainder when c(-3) is divided by v(-7)?
18
Let h(j) = j + 20. What is the remainder when h(-14) is divided by 5?
1
Let l(f) = -10*f. What is the remainder when l(-9) is divided by 31?
28
Suppose 3*p - 12 = 2*p - 4*b, -3*p - 12 = -4*b. Suppose -4*q = -2*m - p*m - 56, -3*q = -m - 42. Calculate the remainder when q is divided by 4.
2
Let x(l) = -l**3 + 4*l**2 - 2*l + 4. What is the remainder when 10 is divided by x(3)?
3
Let r = 4 + 4. Suppose 0 = -h + 3 + 5. Suppose -3*o - 65 = -h*o. Calculate the remainder when o is divided by r.
5
Let y be (32/10)/((-2)/(-35)). Suppose -l + 5*o = 10, -2*l - 5*o + y - 1 = 0. What is the remainder when 58 is divided by l?
13
Suppose -53*i = -49*i - 340. What is the remainder when i is divided by 44?
41
Let q be 245/77 + 2/(-11). Suppose z + 2*z + g - 30 = 0, q*z + 5*g - 30 = 0. What is the remainder when 2 + 1 - (-72)/3 is divided by z?
7
Let q(t) = -4*t**2. Let x be q(-1). Suppose -69 = -6*a + 2*a - h, 4*a = -2*h + 66. Calculate the remainder when (-1 - (-30)/(-4))*x is divided by a.
16
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