ided by m.
27
Let g = 51 - 29. Calculate the remainder when 63 is divided by g.
19
Let r(b) = b**3 - 6*b**2 + 2*b. What is the remainder when 33 is divided by r(6)?
9
Suppose 21 = 2*c - 1. Suppose 0 = 4*o - 7*o - 6. What is the remainder when c is divided by (o - (-6 + -2)) + -2?
3
Let u = 23 - 17. What is the remainder when 1/3 - (-166)/u is divided by 15?
13
Let p = 103 - 58. Calculate the remainder when 134 is divided by p.
44
Suppose -2*j = 4*h - 42, -4*j - 6*h + 4*h = -108. Suppose -2*w + 69 = w. Let a = -13 + w. What is the remainder when j is divided by a?
9
Let c = 17 - 17. Suppose -3*r - 3*z + 39 = c, 0 = r + 2*r - 5*z + 1. What is the remainder when 29 is divided by r?
5
Suppose 3*k + 15 = -0*k. Calculate the remainder when 7 is divided by 14/2 - (-2 - k).
3
Let n(r) = -2*r**3 - 5*r**2 - 3*r + 4. Suppose 3*o + 51 = -3*m - 42, -46 = o - 2*m. Let w = -24 - o. What is the remainder when n(-3) is divided by w?
10
Let z = 67 + -25. What is the remainder when z is divided by 11?
9
Suppose 0 = -5*q - 5*m + 75, 5*q - 3*m - 103 = 12. Let w(k) = -k + 5. Calculate the remainder when q is divided by w(-6).
9
Let o(v) = v - 9. Let k be o(7). Let x be 2/4*k*-89. Suppose -4*u - h + x = -0, 75 = 3*u - 2*h. Calculate the remainder when u is divided by 8.
7
Let n = 39 - 28. Suppose -y - 3*l + 29 = 0, -6*y + 4*l = -2*y - 132. What is the remainder when y is divided by n?
10
Let k(q) = -q**2 - 3*q - 1. Let m be k(-2). Calculate the remainder when (-2)/(-7) + (-33)/(-7) is divided by (-12)/(-9)*3*m.
1
Suppose -3*w + 3*m + 93 = 0, -w + 5*m - 109 = -4*w. What is the remainder when 125 is divided by w?
26
Let r = 8 + -1. Let n(g) = 2*g - 8. Let p be n(r). Calculate the remainder when 12 is divided by 5 + 1/(3/p).
5
Let p(f) = f**2 + 5*f - 7. Calculate the remainder when (40/6)/((-6)/(-45)) is divided by p(-8).
16
Let k(c) = 9*c**2 - c + 1. Calculate the remainder when 43 is divided by k(-1).
10
Let p be (4/3)/(12/18). What is the remainder when ((-105)/3)/((-2)/p) is divided by 18?
17
Suppose -6*n + n + 340 = 4*j, -340 = -5*n + 3*j. Calculate the remainder when n is divided by 24.
20
Let z = 29 + -6. Suppose -3*o - 71 = -89. Calculate the remainder when z is divided by o.
5
Suppose -6 + 33 = 3*c. Calculate the remainder when 15 is divided by c.
6
Let f(t) = 3*t + 5. Calculate the remainder when 244 is divided by f(10).
34
Let o = 5 - -37. Suppose 4*i = -0*h + 5*h - 7, 5*i - 10 = 0. Suppose -h*d - o = -5*c, 4*c + 0*d = d + 35. What is the remainder when c is divided by 5?
4
Let i = -152 - -175. What is the remainder when 89 is divided by i?
20
Suppose -10*p = -p - 306. Let d = 7 + 11. What is the remainder when p is divided by d?
16
Let y(k) be the second derivative of -3*k**3/2 + 2*k**2 + 3*k. Calculate the remainder when 60 is divided by y(-3).
29
Let d = 14 + 14. Calculate the remainder when 54 is divided by d.
26
Suppose 29 = 3*z - 4*z + 2*m, 0 = -2*z + m - 58. Let w = z + 93. Calculate the remainder when w is divided by 22.
20
Suppose 4*v + 2 - 6 = 0. What is the remainder when v is divided by 1?
0
Let u(d) = 6*d + 9. Let n be u(4). Let p be 2/(-5) - 2/(-5). Let l = p + n. What is the remainder when l is divided by 17?
16
Calculate the remainder when ((-138)/(-12))/(1/2) is divided by 6.
5
Let x = 2 - -8. Suppose -2*v - 2*g = -g - 8, -2*g = 3*v - 13. Suppose 34 + 33 = 4*d - v*c, -9 = -3*c. What is the remainder when d is divided by x?
9
Suppose 14 = 2*l + 4*o, 3*l + 4*o = 23 - 0. What is the remainder when l is divided by 2?
1
Suppose 34 = 2*f - 0*f. Calculate the remainder when f is divided by 10.
7
Suppose -4*z + 2*a = -z + 23, -5*z - 5*a - 55 = 0. Let c = z - -49. Suppose -q = -5*p - 24, 0 = -2*p + p - 2. Calculate the remainder when c is divided by q.
12
Suppose 0 = -7*d + 497 - 140. What is the remainder when 151 is divided by d?
49
Let x(u) = 11 - 5*u + 0*u + 4*u. Let f be x(6). Suppose -3*i = -5*j + 40, -3*j = f*i + 6 + 4. Calculate the remainder when 8 is divided by j.
3
Let p = 4 - 6. Let i be 1 + -8 - (p + 1). Calculate the remainder when 9 is divided by (10/4)/((-3)/i).
4
Let h be (3 + 1)/(1 + -2). Let s = 3 - h. Calculate the remainder when 20 is divided by s.
6
Let y be 1/(-3) + (-80)/(-6). Let b(w) = -w**3 + 12*w**2 + 15*w + 5. Calculate the remainder when b(y) is divided by 16.
15
Let s(m) = m**3 + 9*m**2 - 8*m + 10. Let w be s(-10). Let k = 20 + w. What is the remainder when 2/6 - (-86)/3 is divided by k?
9
Suppose -133 = -10*l + 7. Calculate the remainder when 195 is divided by l.
13
Let h = -5 + 7. Suppose -h = -l + 3*l. What is the remainder when 2 - (l + 1 + -8) is divided by 6?
4
Let r = 18 + -3. Calculate the remainder when (-1)/(1/(-58)*2) is divided by r.
14
Suppose -2*t = -4, 3*t + t + 22 = 2*x. What is the remainder when x is divided by 6?
3
Suppose 4*s = -z + 17, -2*z + 13 = -4*s + 3*z. Suppose 2*a + 2*t = -s*t + 31, -4*a + 56 = 4*t. Calculate the remainder when 36 is divided by a.
10
Suppose 24 = 2*j + 4*b, 4*j + 4*b - 41 = 3*b. What is the remainder when 33 is divided by j?
3
Let n(k) be the third derivative of k**6/120 - 3*k**5/20 - 5*k**4/12 + k**3/3 + 4*k**2. What is the remainder when 3 is divided by n(10)?
1
Suppose -246 = -4*n - v, 2*n + 189 = 5*n + 3*v. Calculate the remainder when n is divided by 31.
30
Let f be (-1)/((-2)/42) + 3. Suppose 2*v - f = -2*v. Suppose 3*t = o - 5, 4*o + 4*t - 50 = v*t. Calculate the remainder when o is divided by 8.
6
Suppose 3 = -2*y + 9. Suppose -4*l = -2*a + 34, y*a = 5*l + 16 + 40. What is the remainder when a is divided by 10?
7
Let u(v) = -4*v - 8. Let a be u(-6). Let y = a - 1. What is the remainder when 44 is divided by y?
14
Let l(p) = p**2 - 5*p - 6. Suppose 4*u + 35 = 3*g, -u - 5*g = -2*u - 30. What is the remainder when l(u) is divided by 15?
14
Suppose 448 + 619 = 11*p. Calculate the remainder when p is divided by 20.
17
Let w = -114 - -194. Let d = w + -53. Let k = d - -38. Calculate the remainder when k is divided by 22.
21
Suppose -p = 2*k - 14 - 1, -3*p + 17 = -k. Let l(a) = -a + 15. Calculate the remainder when 5*(-3)/(30/(-44)) is divided by l(p).
6
Suppose -27 - 15 = -3*b. What is the remainder when 51 is divided by b?
9
Let j(s) = s + 19. Calculate the remainder when 29 is divided by j(-13).
5
Suppose 3*b + 156 = 7*b. What is the remainder when b is divided by 21?
18
Suppose -3*v = 5*v - 224. Let s = 26 - 11. Calculate the remainder when v is divided by s.
13
Let q = 55 + -33. Let o(r) = -r**2 + 11*r + 2. Calculate the remainder when q is divided by o(10).
10
Let v(w) = 12*w + 1. Suppose -4*d = 2*g + 54, -5*g + 29 = -4*d - 2*g. Let a = 13 - d. What is the remainder when a is divided by v(1)?
11
Let o(r) = 7*r + 1. What is the remainder when 14 is divided by o(1)?
6
Suppose -2*v - 4*r = 0, 4*v = r - 3*r + 24. Suppose 2*j = j + v. What is the remainder when j is divided by 5?
3
What is the remainder when 84 is divided by (-4 - 1)*(-58)/10?
26
Suppose 12*g = -60 + 384. What is the remainder when 52 is divided by g?
25
Let k be 4 - 2 - (0 - 0). Suppose 4*f - 39 = -5*q, -k*q + 11 = -2*f - 1. Suppose 0 = 6*w - 4*w - 8. What is the remainder when q is divided by w?
3
Suppose -3*c + 0*c - 36 = -4*n, c = 5*n - 56. Calculate the remainder when 22 is divided by n.
10
Suppose -4*c = 4*p - 152, 2*c + 5*p + 6 - 85 = 0. What is the remainder when c is divided by 19?
18
Suppose -3*h = -7 - 2. Suppose 2*z = 4*l + 38, l + 20 = -2*z + h*z. Let g(p) = 5*p - 9. What is the remainder when z is divided by g(4)?
10
Suppose 9*c - 4*c = -2*g + 195, 5*c - 295 = -3*g. What is the remainder when g is divided by 17?
15
Suppose -a - 5 = 4*l, -3*a - l + 2*l = -24. Let g = 3 + -1. Suppose -5*n - m + 99 = 0, -7 - 11 = -g*n + 5*m. What is the remainder when n is divided by a?
5
Let j(y) = -y. What is the remainder when 6 is divided by j(-3)?
0
Let f = 60 + -53. Suppose -2*s + 28 = -x + 8, 4 = 2*x. Calculate the remainder when s is divided by f.
4
What is the remainder when (4/(-10))/(1/(-65)) is divided by 14?
12
Let k(r) = -r**2 + 8*r - 9. Let m be -2 - (24*2)/(-2). Suppose 5*u - 4*h - m = 0, 4*h + 19 - 3 = 2*u. What is the remainder when k(6) is divided by u?
1
Let h = -10 + 18. Let j(f) = f**3 - 7*f**2 - 9*f + 11. What is the remainder when (-1)/(-3) - 14/(-3) is divided by j(h)?
2
Let o(i) = 5