 is divided by 8.
7
Let v(j) = j**2 - 2*j - 3. Let i be v(-2). Suppose i*g - 3*m - 41 = 0, 5*m + 14 - 4 = 0. Calculate the remainder when 13 is divided by g.
6
Suppose -2*c - 2*b = -6*b - 20, 4*b = 4*c - 24. Calculate the remainder when 61 is divided by 7/(1/6*c).
19
Let j(i) = i**3 + 5*i**2 + 2*i. Let y = -66 - -123. What is the remainder when y is divided by j(-3)?
9
Let x(a) be the second derivative of -5/12*a**4 - 1/20*a**5 + 2*a + 0 + 2/3*a**3 + 4*a**2. What is the remainder when x(-6) is divided by 7?
6
Suppose 256 = 3*t - 50. Calculate the remainder when t is divided by 15.
12
Let u = 2 + 9. What is the remainder when 42 is divided by u?
9
Let x = 93 + -67. What is the remainder when 46 is divided by x?
20
Suppose 84 - 25 = 3*g - 2*n, -52 = -4*g - 4*n. Calculate the remainder when 65 is divided by g.
14
Suppose -66 = 4*c - 10*c. What is the remainder when 41 is divided by c?
8
Suppose 0 = 3*g - 12 - 6. What is the remainder when 38 is divided by (3/g)/((-1)/(-26))?
12
Let f = -14 + 14. Suppose 2*g = -i + 8, g = 1 + 1. Suppose f = -i*t + 5*t - 50. What is the remainder when t is divided by 17?
16
Let t = -7 + -21. Let r(b) = b**3 + 13*b**2 + 4*b. Let c be r(-9). Calculate the remainder when 18 is divided by 4/(-14) - c/t.
8
Let y(j) be the third derivative of j**4/6 - j**3/3 - j**2. Let m be y(3). Calculate the remainder when 106/m + (-10)/(-25) is divided by 6.
5
Suppose -3*i + 86 - 29 = 0. What is the remainder when 55 is divided by i?
17
Let h(d) = -d**3 + 16*d**2 + d + 12. Calculate the remainder when h(16) is divided by 10.
8
Let n = -32 + 47. Suppose -5*k - 5*r = -120, -3*k = -r - 2*r - 102. Calculate the remainder when k is divided by n.
14
Let a = 17 + -3. Suppose 3*w - 3*i = -6, 2*w - i - a = 5*w. Let y(d) = -d**2 - 6*d + 4. What is the remainder when 22 is divided by y(w)?
10
Suppose 0 = 5*t + 7 - 82. What is the remainder when 28 is divided by t?
13
Suppose 2*a - 28 = -2*a. Calculate the remainder when a is divided by (-2)/(-8)*3 - (-91)/28.
3
Suppose 3*c + 6 = -21. Let j = 56 + -28. What is the remainder when j is divided by 11 - -3*3/c?
8
Suppose 2*o - 4 = -h, 2*h = o - 3*o. Suppose -o*u - 31 = -5*u. Suppose -4*j + 13 = -u. What is the remainder when 19 is divided by j?
8
Let u(p) = p**3 - 15*p**2 - p + 17. Let b = 22 + -15. What is the remainder when b is divided by u(15)?
1
Suppose 46 = 3*o - 50. Suppose -3*d = d - 44. Calculate the remainder when o is divided by d.
10
Let a(y) = 2*y - 9. Suppose -g - 17 = -z + 3, 0 = -z - 2*g + 5. Suppose z = 3*k - 21. What is the remainder when k is divided by a(8)?
5
Suppose -5*f + 10*f - 275 = 0. Suppose -f = 6*q - q. Let b = 5 - q. Calculate the remainder when 46 is divided by b.
14
Suppose -3 = t - 3*h + 3, -2*t - 12 = -3*h. Let m(d) = -d**2 - 9*d - 9. Calculate the remainder when (-2)/(-8) + (-268)/(-16) is divided by m(t).
8
Suppose -21 = -2*b - b. Let c(j) be the third derivative of -j**5/60 + j**4/3 + 7*j**3/6 - j**2. Calculate the remainder when 41 is divided by c(b).
13
Let z = -33 + 42. Calculate the remainder when 16 is divided by z.
7
Let m = 0 - -4. Suppose -m - 20 = -c. What is the remainder when c is divided by 13?
11
Suppose -q = -5*j + q + 18, j = 4*q. Suppose j*p - 19 = 1. What is the remainder when p is divided by 2?
1
Suppose -2*l + 4 = -4*l. Let y = l + 4. Let a = y + -1. Calculate the remainder when a is divided by 1.
0
Let o = -113 + 176. Let c = -191 - -213. Calculate the remainder when o is divided by c.
19
Let o be (-64)/(-3) - 8/(-12). Suppose -50 = -4*i - 2*t, -2*i = -3*t - t - 20. Let z = o - i. What is the remainder when z is divided by 4?
2
Calculate the remainder when 30/15*(-46)/(-4) is divided by 12.
11
Let t(n) = -4 - 2*n**3 - 2*n**2 + 9 - 3 - n. What is the remainder when t(-2) is divided by 5?
2
Suppose 14*o - 438 = 8*o. What is the remainder when o is divided by 19?
16
Let m(r) = r**3 - 2*r**2 - 3*r + 2. Let h be m(3). Suppose -12*w = -10*w - 28. Calculate the remainder when w is divided by h*(-3)/((-6)/5).
4
Let r = -29 - -37. Calculate the remainder when r is divided by 7.
1
Suppose -4*w + 3*m = -m - 1196, 2*w = -3*m + 593. What is the remainder when w is divided by 30?
28
Let w = -51 - -24. Let m = 0 - w. What is the remainder when m is divided by 10?
7
Let o(b) = 10*b - 3 - b**2 + 3 - 4. Calculate the remainder when o(6) is divided by 7.
6
Let m = 98 - 87. What is the remainder when (-42)/(-1) + (1 - 2) is divided by m?
8
Let g be (-58)/(-10) + 4/20. Let s be (-2)/g + (-222)/(-18). Suppose -q = -2*q + s. Calculate the remainder when 47 is divided by q.
11
Let d be (-7)/(-1) - (2 - 1). Calculate the remainder when 34 is divided by (-62)/(-5) - d/15.
10
Suppose 2*c + d = -0*c + 34, 4*c + d = 66. Suppose r + 56 = 2*z, -5*r = -5*z + z + 100. Calculate the remainder when z is divided by c.
14
Let u be (1 + 1)*(-2)/(-1). Suppose 99 = -o + u*o. Let x = 114 - 105. What is the remainder when o is divided by x?
6
Suppose 4*f + 4 = 0, 2*f - 41 = -3*y + 164. Calculate the remainder when y is divided by 36.
33
Suppose -x - 4*x + 110 = 0. What is the remainder when x is divided by 6?
4
Suppose -2*w = -4*w + 8. Suppose 0 = -5*u + 3*j - 37, u = 2*j - 2 - w. What is the remainder when 50 is divided by (-102)/u - (-3)/12?
11
Suppose -4*f + 3*f = -38. Suppose f + 10 = k. What is the remainder when k is divided by 25?
23
Suppose -27 = 3*b + 3*j, -3*j = 4*b + 13 + 18. Calculate the remainder when (-166)/(-18) + b/18 is divided by 6.
3
Let g(x) = -x + 43. Calculate the remainder when 102 is divided by g(17).
24
Let s(y) = 4*y**2 + 3*y - 1. Let d be s(-3). Let r = d - 38. What is the remainder when 26 is divided by ((-9)/(-12))/((-1)/r)?
8
Let b = 13 + -11. Calculate the remainder when 2 is divided by b.
0
Let g = 0 - 0. Suppose -7*d = -3*d + 20. What is the remainder when 1 + -2 - d - g is divided by 2?
0
Let f(y) = y**3 - 6*y**2 - 4*y - 7. Suppose 16 = 3*h + 5*x, h = x - 4*x + 4. Let q be f(h). What is the remainder when (12/q)/((-1)/(-7)) is divided by 4?
2
Suppose -p = -5*p + f + 241, 3*p + 2*f - 167 = 0. Let o = p - 37. Let j(n) = 3*n**2 + n - 2. Calculate the remainder when o is divided by j(2).
10
Let g(h) be the second derivative of h**3/2 - 5*h**2/2 - 3*h. Let x = 1 + 3. Calculate the remainder when g(4) is divided by x.
3
Let w be ((-472)/(-12))/(2/3). Suppose 3*f = z + w, z - 23 + 6 = -f. Calculate the remainder when 55 is divided by f.
17
Let h = 0 + 2. Suppose 2*i + h*g + 4 = 18, 5*g = 5*i + 5. Suppose -i*b = 11 - 35. Calculate the remainder when b is divided by 3.
2
Let q be 6 - (3 - (-2 - -4)). Let r = -21 - q. Let i = r + 42. What is the remainder when i is divided by 6?
4
Let m(a) = -a**3 - a**2 - a + 24. Let l(q) = -q + 13. Calculate the remainder when m(0) is divided by l(0).
11
Suppose 10*g - 80 = 5*g. Calculate the remainder when 31 is divided by g.
15
Let g(z) = -25*z**2 + z + 10. Let j(l) = 8*l**2 - 3. Let r = 6 - 4. Let v(x) = r*g(x) + 7*j(x). What is the remainder when 36 is divided by v(-2)?
17
Let p(n) = -n**2 + 6*n - 2. Let t be p(4). Suppose 0 = m - t - 3. Calculate the remainder when 17 is divided by m.
8
Let f be 6/(-9) + (-34)/(-6). Suppose f*a = 215 + 80. Calculate the remainder when a is divided by 20.
19
Let q = 7 - 2. Suppose 29 + 26 = o - 4*p, -4*p - 195 = -q*o. Suppose 0*f = -f + 12. Calculate the remainder when o is divided by f.
11
Suppose 0 = 2*h + 6 + 6. Let x = h + 9. What is the remainder when 15 is divided by (-1)/(x - (-25)/(-8))?
7
Suppose 6*p - 9*p + 15 = 0. What is the remainder when 17 is divided by p?
2
Let k(r) = r**3 - 13*r**2 - 14*r + 15. What is the remainder when k(14) is divided by 7?
1
Suppose -l - 27 = -4*l. Let q = 8 + 27. Calculate the remainder when q is divided by l.
8
Let i(x) = x**2 + 10*x + 11. Let a be i(-14). Let v = a + -41. What is the remainder when v is divided by 7?
5
Let g = -29 + 34. What is the remainder when 14 is divided by g?
4
Suppose 108 = 5*v - v - 2*n, -3*v + 81 = n. Let d = v - -19. Calculate the remainder when d is divided by 16.
14
Let m(b) = b**2 + b - 3. Let x be (2 - -2)*9/(-12). Let u be m(x). Calculate the remainder when 47/u + (-2)/(-6) is divided by 6.
4
Let c = -11 + 33. Let q = 5 - -1. What is the remainder when c is divided by q?
4
Let l(y) = 9*y**2 + y. Suppose 0*v = 