uppose 105 = 5*n - 8*n. Let u = 91 - 164. Let q = n - u. What is the remainder when q is divided by 13?
12
Suppose 0 = -b - 2*b. Suppose b*v - 58 = -2*v. Calculate the remainder when 115 is divided by v.
28
Suppose -425 = -x - 4*x. Calculate the remainder when x is divided by 2/(6/(-3))*174/(-6).
27
Let t(q) be the second derivative of q**4/4 - q**3/6 - q. Suppose f - 2*f = -28. Calculate the remainder when f is divided by t(2).
8
Let t = -10 + 50. Let i = 13 + 8. What is the remainder when t is divided by i?
19
Let h = 28 - -7. Calculate the remainder when h is divided by 18.
17
Suppose 132 = 3*u - 4*c, 2*c + 31 = u + 5*c. Suppose -u - 5 = -3*k. What is the remainder when 28 is divided by k?
13
Let s be ((-1)/(-1) + -1)/2. Suppose s*q = q - 3. Suppose i = 5*j - 152, q*j = -0*j + i + 90. Calculate the remainder when j is divided by 11.
9
Suppose 211 = 5*j + 41. Let o(a) = a - 4. Let q be o(7). Suppose j = q*z - 17. What is the remainder when 67 is divided by z?
16
Calculate the remainder when (-153)/(-6)*(-2)/(-3) is divided by (-35)/(-4) - (-10)/40.
8
Suppose s + 52 = -0*s. Let p = 81 + s. What is the remainder when p is divided by 10?
9
Suppose -5*x - d + 155 = -6*d, -x = 5*d - 49. What is the remainder when 66 is divided by x?
32
Suppose 5*w = 3*g - 56, 24 - 130 = -5*g + 2*w. Calculate the remainder when 86 is divided by g.
20
Suppose 5*k + 4*f = 57, -3*k - 55 = -8*k - 5*f. What is the remainder when 64 is divided by k?
12
Suppose 3*b + 2 + 7 = 0. Let j = b + 9. Suppose -2*p + 8 = -0*p. What is the remainder when j is divided by p?
2
Suppose 9 = 3*t - 6. What is the remainder when t is divided by 1?
0
Let a(z) = z + 10. Let x be a(0). What is the remainder when ((-12)/8)/((-3)/x) is divided by 4?
1
Let w = -29 - -82. What is the remainder when w is divided by 14?
11
Suppose -2*v = v - 3, 0 = j - 3*v - 38. Suppose -33 = -3*a + 9. Calculate the remainder when j is divided by a.
13
Let f(r) = r**2 + 2*r - 2*r**2 - 4 - 6*r + 0. Let x be f(-6). Let v = x - -47. What is the remainder when v is divided by 11?
9
Suppose 5*b = 18 + 17. Suppose -24 - 1 = -5*d. Suppose -r - 2*i = -d*i - 19, 5*i = 4*r - 76. Calculate the remainder when r is divided by b.
5
Let n(j) = -j + 2. Let c be n(-5). Let k(x) = -2 - 8*x**2 + 9*x + 2 - 9 + x**3. Calculate the remainder when k(c) is divided by 3.
2
Let c(z) = -z**3 + 0 - 5 - 9*z - 7*z**2 + 0*z**3 - 2*z**2. Suppose 8 + 10 = 3*u. What is the remainder when u is divided by c(-8)?
0
Suppose 3*h + p = 3, 5*h + 4*p = 7 + 5. Let k = 1 + h. Calculate the remainder when 1 is divided by k.
0
What is the remainder when ((-7)/14 + 2)*106/3 is divided by 29?
24
Let q(y) = -y**3 - 3*y**2 - 2*y - 1. Let j be (24/(-15))/(-2)*5. Suppose 3*f - j*f = -8. Calculate the remainder when f is divided by q(-3).
3
Let f = -184 - -187. Let v(p) = 3*p**2 - 2*p + 1. Calculate the remainder when v(2) is divided by f.
0
Suppose -2*h = 3*h - 10. Suppose 37 = -h*y - 9. Let t = 48 + y. What is the remainder when t is divided by 9?
7
Let g(h) = -h**2 + 3*h + 24. Calculate the remainder when 69 is divided by g(0).
21
Suppose 3*m = 3*x + m - 9, 0 = -x + 5*m - 10. Suppose x*t - 231 = 2*z, -5*t = -3*t - 3*z - 99. What is the remainder when t is divided by 12?
9
Let d = -48 + 62. Suppose 3*l - 65 = 2*x, 31 - 166 = -5*l - 2*x. Calculate the remainder when l is divided by d.
11
Let r(y) = y**2 - y - 6. Let x be r(5). Calculate the remainder when x*((-45)/6)/(-5) is divided by 12.
9
Let b = -20 + 23. Suppose 3*n - 4*i = -5, -3*i = -2*n - 2*i + 5. Suppose n*u + 4*w = 7, -u + 18 = b*u - 3*w. Calculate the remainder when u is divided by 1.
0
Let k(y) = y**3 - 2*y**2 - 7*y + 6. Suppose -10*u + 95 + 185 = 0. Calculate the remainder when u is divided by k(4).
8
Let n(k) = k**2 + 12*k. What is the remainder when 111 is divided by n(-14)?
27
Suppose 27*b - 25*b - 38 = 0. What is the remainder when b is divided by 5?
4
Let l(z) = -2*z**2 + 29*z + 24. Calculate the remainder when 86 is divided by l(15).
5
Let s = 28 - 20. What is the remainder when 13 is divided by s?
5
Let y(m) = 2*m**3 - m**2 - 2*m - 3. Calculate the remainder when y(3) is divided by 13.
10
Let y(x) = 28*x - 23. What is the remainder when y(3) is divided by 34?
27
Suppose -v = 3*s - 4*v - 246, 0 = s - 3*v - 72. Calculate the remainder when s is divided by 30.
27
Let z(k) = 3*k + 30. Suppose -d - 4 + 0 = -5*v, 5*v = 4*d - 29. Calculate the remainder when d is divided by z(-8).
5
Let g be -35 - (-3 + 4/2). Suppose o + 4*s = -11, -3*o + s - 6*s + 2 = 0. What is the remainder when g*(15/(-6) - -2) is divided by o?
8
Suppose d = 5, 0*y + 2*y + 4*d = 20. Suppose y = q - 3, 5*q = -2*w - 4 + 53. What is the remainder when w is divided by 6?
5
Suppose 0 = 11*y - 1201 - 97. What is the remainder when y is divided by 30?
28
What is the remainder when (-84)/(-2 + -1) - 3 is divided by 13?
12
Let y be ((-6)/4)/3*-146. Suppose 0*o = -5*o + 235. Suppose 5*p = 2*j - 3*j + y, 3*p = j + o. What is the remainder when 43 is divided by p?
13
Let y(f) = 4*f**3 + f - 1. Suppose 3*o = -0*o + 60. Suppose -j + m = -2*m + 14, -5*j = -5*m + o. What is the remainder when 9 is divided by y(j)?
1
Let q be 62/22 - 8/(-44). Let k(v) = -8*v - 8. Let j be k(-7). Suppose b + q*b = j. Calculate the remainder when 23 is divided by b.
11
Let a be 0 + 3 - (66 - 1). Let w = a - -87. Suppose -b = h - 2 - 9, -4*b - 2*h = -48. Calculate the remainder when w is divided by b.
12
Let k(y) = -y**3 - 5*y**2 - y - 2. Suppose 4*g + 12 = 68. Calculate the remainder when k(-6) is divided by g.
12
Let d = -158 + 109. Let i = -34 - d. What is the remainder when i is divided by (2 - -7) + -1*1?
7
Suppose 0 = 9*a - 22*a + 13. Calculate the remainder when 5 is divided by a.
0
Suppose 2*d = -2*d - 4*y + 40, 2*y + 34 = 4*d. Let z(j) = 9 - 13*j - 9 + 0*j. Calculate the remainder when z(-2) is divided by d.
8
Suppose -j = -5*s + 87, 2 - 13 = -s - 3*j. What is the remainder when 30 is divided by s?
13
Suppose 0 = t + 3*t - 188. Suppose -x - 248 = -5*x - 4*c, x + 4*c - t = 0. Let b = -33 + x. What is the remainder when b is divided by 12?
10
Let g(q) = -2 + 2 + 2 + 3*q. Calculate the remainder when 31 is divided by g(3).
9
What is the remainder when (7/(-5))/(3/(-75)) is divided by 9?
8
Let r(v) = -v**2 + 9*v - 9. Suppose 2*f - 5 = 17. Let c = -4 + f. What is the remainder when 9 is divided by r(c)?
4
Suppose o + 5 = -4*s + 21, 3*s - 25 = -4*o. Suppose 3*l + 31 = 5*i + 9, -11 = -3*i + 4*l. Calculate the remainder when i is divided by s.
2
Let d(l) = -3*l**3 + 1 + 2*l - 2*l**2 + 0*l**2 + 2*l**2. Calculate the remainder when 3 is divided by d(-1).
1
Let n be 48/(-4) - (2 + -1). Let i = -21 + n. Let y = i + 48. Calculate the remainder when y is divided by 8.
6
Suppose 3*b - 184 - 137 = 0. Suppose 0 = -2*q - 37 - b. What is the remainder when 53 is divided by ((-6)/(-8))/((-3)/q)?
17
Suppose -4*s + 3*s = -6. Let u = 52 + -36. What is the remainder when u is divided by s?
4
Let v(p) be the second derivative of p**4/12 - p**3/2 - 2*p**2 - 19*p. Let z be (1/(-2))/((-2)/(-28)). Calculate the remainder when v(z) is divided by 17.
15
Suppose 0*u = 4*u - 20. Let n be 2/3 - 6/9. Suppose -4*m = -n*m - 12. Calculate the remainder when u is divided by m.
2
Suppose 0 = -4*a - 5*k + 19, -3*a + 10 = -2*a - 4*k. Suppose -120 = -3*f + a. Let y = -16 + 38. Calculate the remainder when f is divided by y.
20
What is the remainder when (-15 + 12)/((-1)/19) is divided by 12?
9
Let x(q) = 5*q + 3*q + 4 - 3 - 3. What is the remainder when 25 is divided by x(2)?
11
Let w be 3 + 2/(-2) + 1. What is the remainder when (-1)/((-312)/(-105) - w) is divided by 12?
11
Let k be 3/(-6) - (-9)/2. Suppose 4*m - 15 = m - 2*w, k*m - 20 = 4*w. What is the remainder when 9 is divided by m?
4
Suppose -2*b - 313 + 449 = 0. What is the remainder when b is divided by 10?
8
Suppose 4*a + 28 = -3*s + 76, -s = 5*a - 5. What is the remainder when 117 is divided by s?
17
Let m = 166 - -12. What is the remainder when m is divided by 45?
43
Let a = -11 + 16. Suppose 3*v = a*i - 134, 0 = -0*i - 3*i - 2*v + 69. What is the remainder when 73 is divided by i?
23
Suppose -5*s + 0*s = -5*z - 25, 5*z = 4*s - 22. Let q be -1 + -6 + -2 + 2. Let h(g) = -g - 5. What is the remainder when s is divided by h(q)?
1
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