a. What is the remainder when a is divided by 9?
8
Let o be (-11)/(11/(-10))*-2. Let x = o - -22. Suppose -19 = n - x*n. Calculate the remainder when 54 is divided by n.
16
Let m = -197 - -73. Let f = 181 + m. Calculate the remainder when f is divided by 21.
15
Suppose 4*s + 8 = 0, -n - 1 = 3*s + 3. Let i(t) = 1 + 19*t - n + 2 + 1. What is the remainder when i(2) is divided by 14?
12
Let n(b) = b**3 + 40*b**2 + 40*b + 85. What is the remainder when 218 is divided by n(-39)?
34
Suppose -4*j - 22 = -134. Suppose 3*c - j = c. Calculate the remainder when 39 is divided by c.
11
Suppose 12 = 4*l - a - 44, -5*a = -20. What is the remainder when 150/(-6 + 11) + -1 is divided by l?
14
Let a(u) be the third derivative of u**5/60 + u**4/4 - 5*u**3/2 - 2*u**2. Let q be 9*(4 - (-32)/(-6)). Calculate the remainder when a(q) is divided by 20.
17
Let m = 215 + -167. Calculate the remainder when 239 is divided by m.
47
Suppose -52 = 16*x - 18*x. What is the remainder when 48 is divided by x?
22
Calculate the remainder when 68 is divided by (-68)/8*-2 - (3 - 5).
11
Let p = -8 - -10. Suppose 5*d + p*d = 14. Calculate the remainder when 5 is divided by d.
1
Suppose -46*o + 42*o = -60. Calculate the remainder when o is divided by 11.
4
Let o(b) = -b + 12. Let n = 14 - 19. Let p be (13 - 7)/((-3)/n). Calculate the remainder when 4 is divided by o(p).
0
Suppose 2*r = -c + 71, 27*c + 50 = 2*r + 25*c. Suppose 2*k = 4*k - 18. Calculate the remainder when r is divided by k.
5
Suppose 40 = 10*h - 6*h. Suppose 5*v = -0*v + h. Suppose 5*r - 2*r = -2*z + 59, 2*z + 36 = v*r. What is the remainder when r is divided by 10?
9
Let a = 165 - 121. Calculate the remainder when 261 is divided by a.
41
Let k(w) = 3*w + 2. Let d be k(-1). Let g = d - -5. Suppose -33 = -h + 3*t, g*t + 25 = -4*h + 189. What is the remainder when 155 is divided by h?
38
Suppose -5*i + 120 = -10. What is the remainder when (-3 - (4 + -10)) + 151 is divided by i?
24
Let x = -47 - 25. Let q = -62 - x. Calculate the remainder when q is divided by 4.
2
Let w(z) = -21*z + 2. Let l be w(-2). Suppose -12*n - l = -16*n. Calculate the remainder when n is divided by 7.
4
Suppose -l - 2*b = 2*b - 4, -3*l = -3*b + 3. Suppose -4*w = -l - 8. Calculate the remainder when 7 is divided by w.
1
Let s(g) = 54*g + 6. Suppose -q + 6*q - 35 = 0. Suppose q = 5*m - 3. Calculate the remainder when s(m) is divided by 29.
27
Let o(v) = v**3 - 7*v**2 - 6*v - 3. Calculate the remainder when 315 is divided by o(8).
3
Let n = -7 + 12. Suppose 2*q = -8*v + 3*v + 19, -9 = 3*q. Suppose 53 = 3*c + a, -v*a + 30 = 4*c - 26. Calculate the remainder when c is divided by n.
4
Suppose 0 = 19*i - 1061 - 307. What is the remainder when 280 is divided by i?
64
Suppose -290*y = -274*y - 112. Calculate the remainder when 46 is divided by y.
4
Suppose -7*g - 2007 = 1045. Let q be g/(-18) - (-42)/(-189). Let h = -19 + q. Calculate the remainder when 19 is divided by h.
4
Let p(u) = -4*u**2 - 35*u + 6. Let w = 64 + -70. Let c(r) = -r**3 - 3*r**2 + 2*r - 3. Calculate the remainder when p(w) is divided by c(-5).
35
Suppose -3*k + 5*q = -5, 4*k = -k - 4*q + 33. Let t = 23 - k. Calculate the remainder when 33 is divided by t.
15
Suppose -3*t = -8*t + 90. Let y = 24 + -28. Calculate the remainder when (t/y)/((-24)/32) is divided by 2.
0
Let i(h) = -h**2 + 23*h + 31. What is the remainder when 102 is divided by i(22)?
49
Suppose -2*m = y - 38, -6*y + y = 2*m - 46. Suppose -13*p - 70 = -m*p. What is the remainder when -2 + 1*(-1 + 57) is divided by p?
12
Let u = -19 - -20. Let b(t) = 24*t**3 - t. Calculate the remainder when b(u) is divided by 7.
2
What is the remainder when 1627 is divided by (-37)/5*(14/(-1) + 9)?
36
What is the remainder when (-5 + (-177)/5)*(-20)/8 is divided by 6?
5
Let a(w) be the second derivative of w**3/2 + 2*w**2 - 4*w. Calculate the remainder when 81 is divided by a(8).
25
Let u(s) = 4*s - 4. Suppose -361*w + 720*w = 368*w - 504. What is the remainder when w is divided by u(6)?
16
Let c(r) = -1 - 6*r**2 - r**2 + 22*r**3 + 2*r + 6*r**2. Suppose 3*k - 5*n + 0 = 2, 3*k - 3*n - 12 = 0. Calculate the remainder when c(1) is divided by k.
4
Let y = -1505 + 1525. Calculate the remainder when 210 is divided by y.
10
Let s(c) = 7 - 2*c**2 - 14*c + 2*c**2 - c**2. Let t be (11 - 6) + (-54)/3. Calculate the remainder when 37 is divided by s(t).
17
Let g be -1 + 0/2 - (-1 - 0). Suppose g = -3*n - 4*w + 50 - 17, n = -3*w + 6. What is the remainder when n is divided by 11?
4
Let q(a) = 13*a**2 + 2*a + 1. Let n = -1178 + 1188. What is the remainder when q(-2) is divided by n?
9
Calculate the remainder when (-12)/18*522/(-4) is divided by 6.
3
Let y = -176 - -496. Suppose -5*o = -5 - y. Calculate the remainder when o is divided by 22.
21
Let x = 190 + -289. Let b = x - -109. Let p = -22 + 48. Calculate the remainder when p is divided by b.
6
Suppose -6 = 3*q, -2*q = 2*l - 0*l - 14. Let n = -4 - -9. Calculate the remainder when 5*(1 - (l/(-5) - -1)) is divided by n.
4
Suppose -16*u - 2259 = -11011. Calculate the remainder when u is divided by 50.
47
Suppose 8*x - 12 = 292. What is the remainder when x is divided by 31?
7
Let x(j) = -39*j + 3. Calculate the remainder when -9*(1164/9)/(-4) is divided by x(-1).
39
Calculate the remainder when 7 - (-76 + -4 + -2) is divided by 51.
38
Let p = -6 + 28. Suppose 15*u - 17*u = 3*r - 9, -5*u + 5*r = -60. Calculate the remainder when p is divided by u.
4
Calculate the remainder when 178 is divided by (-6)/7 - (-516)/14.
34
Let w = 23 + -26. Let d = 5 + w. Calculate the remainder when d is divided by 1 - -1 - 0/1.
0
Let m be (-4)/(-10) - 363/(-55). Let n(d) = 2*d + 19. What is the remainder when n(m) is divided by 18?
15
Suppose 4*w + 5*i = 235, 0 = w - 2*w + 3*i + 46. Let j(z) = 4*z**2 - 3*z - 3. Let d = -4 + 2. Calculate the remainder when w is divided by j(d).
17
Let a be (2*1)/(-5 - -6). Let n be (-1)/(-2)*a*-73. Let c = 137 + n. What is the remainder when c is divided by 13?
12
Let m(j) = -13*j - 124. Let a(p) = -3*p - 31. Let l(s) = -9*a(s) + 2*m(s). Let d(g) = 17*g. What is the remainder when d(2) is divided by l(-13)?
16
Let d(j) = j**3 + 14*j**2 - 17*j + 13. Let x be d(-15). Suppose 4*i + n = 85 - 30, 0 = -3*i + n + x. Calculate the remainder when i is divided by 9.
5
Suppose -3*x + 7*x = -308. Let g = -9 - x. Calculate the remainder when g is divided by 14.
12
Let j(m) = 5*m - 4. Let b = -171 + 182. Calculate the remainder when j(5) is divided by b.
10
Suppose 0 = -3*b - 0*b + 252. Let j = 124 - b. What is the remainder when j is divided by 11?
7
Suppose 0 = -3*d - 8 + 32. Calculate the remainder when 383 is divided by d.
7
Let m(c) = -9*c - 7. Calculate the remainder when 300 is divided by m(-5).
34
Let t = 35 + 2. Suppose -s + t = 3*z - 10, -2*z + 4*s = -22. Let i = 21 - z. What is the remainder when 22 is divided by i?
4
Suppose 0 = -3*y - 3*d - 33, 4*d - 47 = 4*y + 5*d. Let s = y - -13. What is the remainder when 8 is divided by s?
0
Suppose -69 = -4*x - 3*z - 2*z, -2*z + 21 = x. Suppose -34 = -y + 40. What is the remainder when y is divided by x?
8
Let k be 1 + -2 + -1 - 70. Let b = -46 - k. Suppose -s - b = -3*s. Calculate the remainder when 38 is divided by s.
12
Suppose 4 = 2*b - 3*u - 2*u, u = -b + 2. Suppose 0 = b*h + 2*h - 468. What is the remainder when h is divided by 24?
21
Let j(h) = 2*h**2 + 46*h - 138. Calculate the remainder when 99 is divided by j(-26).
9
Suppose -52*l + 39*l + 78 = 0. Suppose -5 = -u + 23. What is the remainder when u is divided by l?
4
Suppose -29*t = -2260 - 1539. What is the remainder when 507 is divided by t?
114
Suppose f - 26 - 26 = 0. Let o(i) be the third derivative of i**4/24 + 5*i**3/2 + 17*i**2. Calculate the remainder when f is divided by o(3).
16
Suppose -6*m + 81 = 3*m. Suppose -m*i = -13*i + 60. Calculate the remainder when 43 is divided by i.
13
Let b(k) = 10*k**2 + k**2 + 8*k**2 - 5*k**2 - k. What is the remainder when b(-1) is divided by 8?
7
Let b(l) = 10*l. Calculate the remainder when ((-75)/(-12) + -8)/((-1)/44) is divided by b(4).
37
Suppose 5*f - 10 = 5. Suppose -f*h + 5*m = -2*h - 20, -96 = -3*h + 3*m. What is the remainder when 139 is divided by h?
34
Let l = -17 - -10. Let n(h) be the first derivative of h**4/4 + 2*h**3 - 9*h**2/2 + 3