9 = 0. Calculate the remainder when 0 + 1 + (-58)/(-2) is divided by (-189)/(-12) + 2/v.
14
Suppose -a + 8 = y, -3*y - 2*y = 3*a - 30. Suppose q + y*f = 0, 10*q + 2*f - 13 = 5*q. Suppose -q*b - 1 = -7. What is the remainder when 2 is divided by b?
0
Suppose 0 = -3*n - 4*k + 40 + 33, -3*k - 66 = -3*n. Calculate the remainder when 68 is divided by n.
22
Suppose 0*t = 2*t - 170. What is the remainder when t is divided by 43?
42
Suppose 5*x - 8*x = -24. Suppose -10 = -2*t + 3*a, t - 4*a - 7 = x. Calculate the remainder when 31 is divided by t - (1 - 1) - -17.
15
Let z(t) = -t**2 - 1. Let c(j) = -j. Let s(n) = 4*c(n) - z(n). Calculate the remainder when 27 is divided by s(5).
3
Let p be (-1)/4 - 469/(-4). Calculate the remainder when p/6*(-2)/(-3) is divided by 4.
1
Suppose w = -c - 3*w - 2, 2*c + 2*w = 2. Suppose 4*i - 19 = y + 2*y, -2*i = c*y - 6. Calculate the remainder when 10 is divided by i.
2
Let b = 5 - -1. Let n be 1*-1 - (0 + b). Let a(h) = -3*h - 9. Calculate the remainder when a(n) is divided by 7.
5
Suppose -5*v + 55 + 5 = 0. Let s be (4/(-2))/((-4)/(-6)). Calculate the remainder when (-196)/(-6) + (-1)/s is divided by v.
9
Let o(f) = -f**3 + 11*f**2 - 12*f + 8. Calculate the remainder when o(9) is divided by 21.
20
Let q(a) = -a**3 + a**2 - 2. Let j = 9 - 3. Let r = 13 + j. Calculate the remainder when r is divided by q(-2).
9
What is the remainder when 81 is divided by 20 - (-8 - -3 - -4)?
18
Let p(o) = o**2 + 26*o + 33. What is the remainder when p(-26) is divided by 9?
6
Let i = 48 - 33. Calculate the remainder when 71 is divided by i.
11
Suppose 3*v + 2 = -2*w, 5*v + 3 = -7. Suppose 5*y + 15 = 0, -5*i = -3*y + w*y - 18. Let z = i + 0. Calculate the remainder when z is divided by 2.
1
Suppose z - 48 = -3*z. Let b = 35 + z. Suppose 2*d = 17 + b. What is the remainder when d is divided by 11?
10
Let j be (-68)/6*90/20. Let g = 71 + j. What is the remainder when 57 is divided by g?
17
Let x = -5 - -1. Let i = x - -8. Suppose 5*g - 35 = -5*h, 0*h + 3*h = i*g - 49. What is the remainder when 38 is divided by g?
8
Suppose 331 = 5*s - 189. Calculate the remainder when s is divided by 53.
51
Let v = 1 + 9. Suppose 2*g - 2*k = 8 + 42, -20 = -5*k. What is the remainder when g is divided by v?
9
Suppose 0*b = b - 9. Calculate the remainder when 34 is divided by b.
7
Suppose 2*g = 6 + 12. Calculate the remainder when 79 is divided by g.
7
Let l(k) = -2*k - 13. Calculate the remainder when 80/3 + 8/(-12) is divided by l(-10).
5
Suppose -2*f + 3*f = -2. Calculate the remainder when 65/(-2)*(-4 - f) is divided by 17.
14
Suppose 0 = -3*g - 5*t - 13, -4*g - 2*t = -8*g + 26. Calculate the remainder when (-116)/(-6) - g/12 is divided by 7.
5
Calculate the remainder when 117 is divided by (-3768)/(-156) - 4/26.
21
Let l(f) be the third derivative of -f**6/60 - f**5/20 - f**4/8 - f**3/2 + 3*f**2. Calculate the remainder when l(-3) is divided by 12.
9
Let s be -4 - -3 - -3 - 1. Suppose -b + 28 = -4*q - s, -1 = 2*q - 5*b. Let h = 15 + q. Calculate the remainder when 13 is divided by h.
6
Let i(u) = -u**3 - 5*u**2 + 5*u - 3. Let y be i(-6). Suppose y = -5*o - 7. Let w(j) = -j**3 - j - 1. Calculate the remainder when 16 is divided by w(o).
7
Suppose 4*y = -568 + 1488. Suppose y = 4*k - 2*s, -3*k - 100 = -5*k - 2*s. Calculate the remainder when k is divided by 19.
17
Suppose 4 = -2*y - 5*m - 0, 2*m = 3*y - 13. Suppose -6 = -2*r + 3*j + y, 0 = -4*r + j + 33. What is the remainder when 5 is divided by -1 - (-5)/(15/r)?
1
Let i = 108 - 76. Suppose -5*r = -71 + 16. What is the remainder when i is divided by r?
10
Let b(s) = 6*s + 4. Let m(h) = 5*h + 4. Let z(k) = -4*b(k) + 5*m(k). Let w be z(-6). What is the remainder when 20 is divided by 5*(w - -4) - -1?
9
Calculate the remainder when 27 is divided by (-3 + 2/1)*-16.
11
Suppose 0 = -u - 3*f - 2 - 0, 16 = -4*f. Let r(k) = k**3 - 5*k**2 + 5*k. Let q be r(4). Suppose 9*l = q*l + u. Calculate the remainder when 2 is divided by l.
0
Let k(t) = -3*t - 5*t - 2 + 3*t. Let j = -55 - -70. Calculate the remainder when k(-6) is divided by j.
13
Suppose 4*r + 3*h = 12 - 36, -r + 5*h - 6 = 0. Let t = 10 + r. What is the remainder when 11 is divided by t?
3
Suppose -3*m + v + 486 = 0, -5*m + 6*v + 820 = v. What is the remainder when 5 is divided by (-4)/14 + m/49?
2
Suppose 2*f = k + 36, k = -2*k - f - 73. Let i be k/(-7) + (-4)/(-14). Suppose -i = z - 1, 0 = r + 2*z - 5. Calculate the remainder when 32 is divided by r.
10
What is the remainder when 10 is divided by 6 + (0 - 2) + 2?
4
Suppose -3*d - 4*y + 127 = 0, -d = 4*y - 3*y - 42. Let o = d - 5. Calculate the remainder when o is divided by 19.
17
Suppose 5*n - 13 = 4*n. What is the remainder when 49 is divided by n?
10
Suppose 0*a = -5*a. Suppose 2*h + a*h - 6 = 0. Calculate the remainder when 7 is divided by h.
1
Suppose -2*o + x + 12 = 0, 0 = -o - 0*o + 4*x + 6. Calculate the remainder when o is divided by (12/9)/(1/3).
2
Suppose -2*a = -a - 152. Calculate the remainder when a is divided by 39.
35
Let h = -129 - -140. Calculate the remainder when h is divided by 9.
2
Suppose -2*p = g - 13, 2*g + 2*p + 0*p - 16 = 0. Calculate the remainder when 13 is divided by g.
1
Let a = 11 + -3. What is the remainder when 53 is divided by a?
5
What is the remainder when 53 is divided by (1/4)/((-3)/(-348))?
24
Let r(g) = -g**3 + 7*g**2 + 4*g - 2. What is the remainder when r(6) is divided by 31?
27
Let c(w) = w**3 - w**2 + 1. Let m be c(1). Suppose 0 = g - 4 + m. Suppose g*j = 28 + 5. Calculate the remainder when 21 is divided by j.
10
Suppose 34 = 3*t - 5*a, -3*t + 4*t + a = 14. Let l = 11 - -12. Calculate the remainder when l is divided by t.
10
Suppose 4*c = 40 + 20. Calculate the remainder when 28 is divided by c.
13
Let g = 11 - -9. Let c(y) = y**3 - 9*y**2 - 9*y - 14. Let j be c(10). What is the remainder when g is divided by (44/10)/(j/(-10))?
9
Let x be 4/18 - (-79)/9. Suppose -2*i - 4 = -j, -5*j + 11 + x = 4*i. Calculate the remainder when (-135)/(-15) - (-4)/(-2) is divided by j.
3
Let y = -13 - -23. Calculate the remainder when ((-2)/(-3))/((-6)/(-261)) is divided by y.
9
Let k = 19 - -15. What is the remainder when 167 is divided by k?
31
Let p(z) = 2*z. Let g(a) = -a - 3. Let b be g(-6). Calculate the remainder when p(5) is divided by -8*(b + (-21)/6).
2
Suppose 2*n - 4*b = 24, 3*b = 3*n - 21 - 12. Suppose -6*r = -11 - 7. What is the remainder when n is divided by r?
1
Let i(h) = -h**2 - h + 1. Let m(a) = 5*a**2 - 4*a - 7. Let j(r) = 6*i(r) + m(r). What is the remainder when 90 is divided by j(-6)?
21
Let x = 313 + -152. Calculate the remainder when x is divided by 41.
38
Suppose 47 + 79 = 3*l. What is the remainder when 62 is divided by (l/(-10))/((-4)/20)?
20
Let x = -93 + 119. Calculate the remainder when 76 is divided by x.
24
Let r = -21 + 132. Calculate the remainder when r is divided by 19.
16
Let a = 69 - -29. What is the remainder when a is divided by 26?
20
Let r(z) = -4*z - 4. Let p be r(5). Let d = p + 35. Calculate the remainder when (-10)/(1/2 + -1) is divided by d.
9
Let f = 263 + -124. What is the remainder when f is divided by 16?
11
Suppose -106 = -2*w + 4*m, 0 = -4*w + 3*m + 64 + 173. Calculate the remainder when w is divided by 16.
15
Suppose -2*q + 16 = 40. Let c = 17 + q. What is the remainder when 18 is divided by c?
3
Calculate the remainder when 2 - ((-18)/(-30) + 188/(-5)) is divided by 28.
11
Let i = 39 + -26. Calculate the remainder when i is divided by 9.
4
Let m = -14 + 34. Suppose 3*j = 10 + m. What is the remainder when 38 is divided by j?
8
Let h = -47 - -50. What is the remainder when 5 is divided by h?
2
Suppose -2*q = -7 - 11. Calculate the remainder when q is divided by 3.
0
Let w = 0 - -21. Calculate the remainder when 62 is divided by w.
20
Let m(v) = 19*v**3 - 3*v**2 + v. Calculate the remainder when 28 is divided by m(1).
11
Let m = -7 - -25. Calculate the remainder when m is divided by 5.
3
Suppose 0 = 2*p + 3*f - 97, 4*f = -3*p + 2*f + 148. Suppose p = 4*h + h. Suppose h = v + 3. What is the remainder when 13 is divided by v?
6
Suppose 5*d - 4*y - 55 = 0, -5*d + 3*y = -0*y - 60. Calculate the remainder when 29 is divided by d.
14
Suppose n = -10 + 30. Let x = 8 + -6. Let r = 5 + x. Calculate the remainder when n is divide