6 + 6. What is the remainder when y is divided by x?
10
Suppose 58 = j + 4. What is the remainder when 214 is divided by j?
52
Let f = 214 + -130. Suppose 0*u + 3*u = f. Calculate the remainder when u is divided by 15.
13
Let x = -15 + 15. Suppose 0 = 3*n + 9, -3*q + x*n = 3*n - 279. What is the remainder when q is divided by 33?
30
Suppose 6*i - 75 = i. Let a(k) = 7*k**2 + 5*k - 2. Let r(u) = -14*u**2 - 9*u + 4. Let w(v) = -11*a(v) - 6*r(v). What is the remainder when w(3) is divided by i?
13
Let h = 17 + -12. What is the remainder when ((-2)/(-5))/((-7)/(-245)) is divided by h?
4
Let q = 5 - 3. Let l(s) = -9*s - 3 + q + 2. What is the remainder when 28 is divided by l(-1)?
8
Calculate the remainder when (2 - -2)*13/4 is divided by 8.
5
Let b = -32 + 35. Let f(r) = r**2 + 3*r - 5. Calculate the remainder when f(-5) is divided by b.
2
Suppose -5*g + 20 = j, 3*g = -4*j - 0*g + 46. What is the remainder when 48 is divided by j?
8
Let c = -67 - -74. What is the remainder when 13 is divided by c?
6
Calculate the remainder when 13 is divided by 7/14*4*4.
5
What is the remainder when 31 is divided by (-2 - -13) + -7 + 7?
9
Let n(k) = 19*k - 1. Calculate the remainder when n(1) is divided by 11.
7
Suppose -5*r = 3*f - 30, -3*r - 38 = -3*f + 16. Calculate the remainder when f is divided by 6.
3
Suppose -5*b + 33 = 2*g, -b + 8 = 3*g - 9. Suppose 7*j - 4*j = 3. Calculate the remainder when 44 is divided by 30*(2/g)/j.
14
Let y be 2/(2/(-8)*-2). Suppose -f - 2 = -5*l + 9, -y*f + 22 = 2*l. Calculate the remainder when (-18 - f)/((-2)/4) is divided by 15.
14
Let x = -624 + 650. Let u(b) be the second derivative of 5*b**4/6 + 5*b**3/6 + b**2 + b. What is the remainder when u(-3) is divided by x?
25
Let f = 3 + 0. Suppose 8*u = f*u + 40. What is the remainder when 15 is divided by u?
7
Suppose 17 = 2*m - q, 0 = 2*q + 6. Suppose -3*l = -m*l + 84. Calculate the remainder when l is divided by 11.
10
Let i(a) = -a**3 + 14*a**2 + 5*a. Let v be i(14). Suppose -30 = -5*k + v. Suppose -308 = 4*r - 8*r. Calculate the remainder when r is divided by k.
17
Suppose -k = -5*b - 6*k + 135, -5*k + 43 = b. What is the remainder when b is divided by 13?
10
Suppose 14 = 5*q - 3*q. What is the remainder when 17 is divided by q?
3
Suppose -3*o - 3*v = -2*v + 13, 2*o + 2*v + 2 = 0. Let x(d) = d**3 + 8*d**2 + 4*d + 5. Calculate the remainder when x(o) is divided by 14.
11
Let z be (5 + -1)*(-1)/(-2). Suppose 2*i + 2*i = -2*o + 2, -19 = z*i + 5*o. What is the remainder when 4 is divided by i?
1
Let l = -18 + 35. Calculate the remainder when l is divided by 10.
7
Calculate the remainder when 17 is divided by -1 - -1 - (-2 + -3).
2
Let i = -12 + 122. What is the remainder when i is divided by 38?
34
Let b be 1 + ((-4)/(-2) - 3). Suppose b = -i + 21 + 7. Calculate the remainder when i is divided by 15.
13
Let t = -6 - -9. Suppose 0 = -7*y + 4*y - 21. Let f = -3 - y. What is the remainder when f is divided by t?
1
Let h(r) = -r**3 - 11*r**2 - r + 3. Let b(a) = -a**2 - 2*a - 3. Let f be b(-4). What is the remainder when h(f) is divided by 5?
4
Let o(i) be the second derivative of -i**4/12 - 8*i**3/3 + 9*i**2 - 2*i. What is the remainder when 1 is divided by o(-17)?
0
Suppose -301*r - 255 = -304*r. What is the remainder when r is divided by 32?
21
Let m = -1 - -1. Suppose -56 = -m*s - 2*s. Suppose 5*f - f + 3*x - 34 = 0, -5*f + 44 = 3*x. Calculate the remainder when s is divided by f.
8
Suppose -2*h + 5*p = -124, -h - 3*p + 53 = -p. Calculate the remainder when h is divided by 20.
17
Let f = 22 + -12. Let u = -118 + 154. What is the remainder when u is divided by f?
6
Suppose 2*r = 2*o - 14, 5*r - 4*o + 9*o = -15. Calculate the remainder when 65 is divided by 24 - (-5)/(r/2).
21
Calculate the remainder when 70 is divided by (4/(-6)*-27)/1.
16
Let m be 0 + -2 - (-112 + -1). Suppose 80 = 3*f + 5*u - 40, 0 = -3*f - 2*u + m. Suppose -2*k = 3*k - f. Calculate the remainder when 19 is divided by k.
5
Suppose -9*a = -4*a + 50. Let t = -1 - a. What is the remainder when 35 is divided by t?
8
Suppose 3*f - 46 = f. Suppose -5*t = 2*q - 44, 5*q + 4*t + f - 99 = 0. What is the remainder when 46 is divided by q?
10
Suppose 2*p + 2 = -8, g - 7 = p. Let l = g - -17. Let h = l + -3. Calculate the remainder when h is divided by 6.
4
Calculate the remainder when 54 is divided by (-5)/(2 - (0 - 1 - -4)).
4
Let k(o) = o**2 - 7*o - 2. Let z be k(7). What is the remainder when 97 is divided by z/(-14) + 348/14?
22
Suppose 4*g - 19 = 1. What is the remainder when 33 is divided by g?
3
Suppose 2*j - j = 3*a - 37, -4*j = 5*a - 90. Suppose 3*s + 50 = d, 0 = 3*d + d - 2*s - 210. What is the remainder when d is divided by a?
11
Let l be 2*(-15)/12*-2. Let i = l - 4. Calculate the remainder when 16 - (3 + -1 - i) is divided by 8.
7
Let l(i) = 2*i**2 - 20*i - 10. Calculate the remainder when 59 is divided by l(11).
11
Suppose 0 = 10*s - 13*s + 48. What is the remainder when s is divided by 6?
4
Suppose z - 8*z + 175 = 0. Let u(a) = a**3 + 6*a**2 + 4*a + 4. What is the remainder when z is divided by u(-5)?
7
Let v = -5 + 69. What is the remainder when v is divided by 18?
10
Let a = 81 - 58. Suppose 2*s - 28 = -82. What is the remainder when (-2)/9 - 1194/s is divided by a?
21
Suppose -12 = 3*x - 2*x. Let q = 27 + x. Calculate the remainder when 44 is divided by q.
14
Let c(r) = -r**3 - 7*r**2 - 2*r - 8. Let g be c(-7). Let d = g - 3. Calculate the remainder when d is divided by 3.
0
Let o(q) = 10*q - 3. Let r = 0 - -14. Calculate the remainder when o(3) is divided by r.
13
Suppose -r + 24 = 2*r. Suppose 5*g + 3 = r. Suppose 0 = 4*a - 5 + 1. What is the remainder when a is divided by g?
0
Let v(f) = 7*f**2 - 6*f + 3. Let j be v(5). Suppose -a - 114 = -4*q + 2*a, a + j = 5*q. What is the remainder when q is divided by 16?
14
Let j(s) = -s**2 + 12 + 2*s**2 + 28. Calculate the remainder when j(0) is divided by (6/4)/((-2)/(-28)).
19
Suppose 3*h + 0*u - 90 = -3*u, -24 = -h - 4*u. Suppose 0 = 4*v + 20, -2*v - 15 = -m + 12. What is the remainder when h is divided by m?
15
Let r(y) = 6*y - 5. Suppose -4*h + 8 = -12. Suppose v = -p - p + 34, -h*v - 25 = -3*p. What is the remainder when r(8) is divided by p?
13
Let v be 5 - 2/(3 - 1). Suppose -2*l + v*j = -10, -l + j + 3 = -0*l. What is the remainder when l is divided by (2/(-4))/((-3)/6)?
0
Suppose -6*w + 48 = 2*w. What is the remainder when 16 is divided by w?
4
Let z(u) = -u**3 - 7*u**2 - 6*u - 3. Let d be z(-6). What is the remainder when d/(((-2)/10)/1) is divided by 8/2 - 1 - (-4 - 1)?
7
Suppose 0 = -25*j + 36*j - 176. Calculate the remainder when 77 is divided by j.
13
Suppose -2*t = q - t - 17, -2*t = -5*q + 92. Calculate the remainder when 51 is divided by q.
15
Suppose -3*o - 6 = 0, 3*k + 3*o = -0*k + 126. Calculate the remainder when k is divided by 16.
12
Let k(o) = -6*o**2 + 6*o + 3. Let s(h) = h**2 - 1. Let u(n) = k(n) + 5*s(n). Let g be u(5). Calculate the remainder when 20 is divided by 6 - (-1)/(-2 + g).
6
Let f(b) = 52*b**3 + 2*b - 2. Calculate the remainder when f(1) is divided by 9.
7
Let n(v) = -v**3 + 5*v**2 - 9 + 3*v + 0*v**3 + 5*v. Calculate the remainder when (-2 + 16)*3/6 is divided by n(6).
1
Suppose 12 = -0*m + 2*m - 4*i, -4*m + 5*i + 18 = 0. Suppose 0 = -3*s - m*s + 65. Calculate the remainder when 38 is divided by s.
12
Let f(c) = -c**3 - 6*c**2 + 5*c + 8. Let d be f(-7). Suppose 2*s = -d + 66. Calculate the remainder when s is divided by 12.
10
Suppose 2*l = 3*c - 304, -4*c + 215 = -4*l - 197. Let d = -29 + c. Calculate the remainder when d is divided by 18.
15
Suppose 5*n - 4 - 11 = 3*u, 0 = 2*n - 2*u - 2. Let y(s) = -s**2 + 8*s - 9. Calculate the remainder when 3 is divided by y(n).
0
Let z = -68 + 144. Calculate the remainder when z is divided by 26.
24
Suppose -3*m - 10 = 2*g - 7*m, 0 = -2*g + 5*m - 15. What is the remainder when 13 is divided by g?
3
Let r be -1*(0 - -1 - 3). Suppose 4*h - 66 = 30. Calculate the remainder when 88/r - 1*-2 is divided by h.
22
Let r = 27 - 24. Calculate the remainder when 13 is divided by r.
1
Suppose 4*b - 95 = -5*o, -2*b + 19 = 4*o - 51. What is the remainder when 26 is divided by o?
11
Suppose u + 24 = 4*u. Suppose 0 = -2*k + 68 + 30. Let g = k + -34. What is the remainder when g is divided by u?
7
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