?
7
Let j(q) = q**2 - 30*q + 91. What is the remainder when j(28) is divided by 8?
3
Suppose o - 3*a + 3 = 0, -3*a = 3*o - 6*a - 15. Suppose k = -4*v + 32 + 61, 0 = -2*k - 5*v + 195. Calculate the remainder when k is divided by o.
6
Suppose 6*f - 3 = 5*f. Suppose -5*d + f*q = -110, 2*d + 2*q - 44 = -3*q. Calculate the remainder when 64 is divided by d.
20
Suppose 2*w = 40 + 8. Suppose -3*z - w = -d, 0 = 2*d - z - 38. Calculate the remainder when d is divided by 11.
7
What is the remainder when (-213822)/(-210) - (-6)/(-5) is divided by 5?
2
Let f = -1729 - -4198. Calculate the remainder when f is divided by 38.
37
Let a = 68 - 25. Let c = 59 + a. Suppose c = -12*o + 15*o. Calculate the remainder when o is divided by 12.
10
Suppose 4*t - 54 = 2*t. Let p = 403 + -398. Suppose -w = -p*w + 16, -3*h + t = 3*w. What is the remainder when h is divided by 3?
2
Let s(f) = -4*f - 58. Let p be s(-15). Suppose 4*u + k = 95, 3*u - 4*k - 124 = -p*u. What is the remainder when 85 is divided by u?
13
Suppose f = 2*f - 5. Suppose -f = -q - 1. What is the remainder when q is divided by 2?
0
Let i = -366 - -517. Calculate the remainder when i is divided by -16*26/(-24)*(-36)/(-16).
34
Let g(s) = 21 - s + 0*s - 11. Let l = -28 - -42. Calculate the remainder when l is divided by g(5).
4
Suppose 84 = 5*b - k, -5*b + 28 = -2*b + 5*k. What is the remainder when 653 is divided by b?
13
Let c = -23 + 28. Suppose -l + 6 + c = 0. What is the remainder when l is divided by 4?
3
Suppose r = 2*r + 2. Suppose -3*i - y + 33 = 0, 2*i + 0*i + 4*y - 22 = 0. What is the remainder when i is divided by r/(-6)*(9 - -3)?
3
Suppose 2*s - 36 = 18. Let x be (-2 - 1)/(s/(-1098)). Let n = -27 + x. Calculate the remainder when n is divided by 24.
23
Suppose 3 = -3*v + 12. Suppose -4*o = -v*l - 52, 7*o = -3*l + 2*o - 16. What is the remainder when 32 is divided by l*(3 - (3 - -1))?
8
Suppose 8*f - 35 = f. Suppose -f*c = -76 - 59. What is the remainder when 50 is divided by c?
23
Suppose 6 = w - 5*o + 29, 3*w + 3*o - 21 = 0. Let x(k) = -k**3 + k**2 + 3*k - 1. Let b be x(w). Calculate the remainder when 4/(-4)*b*-49 is divided by 17.
15
Let a = 43 - 39. Suppose -a*g + 55 = g. What is the remainder when (3/(-4))/(11/(-924)) is divided by g?
8
Suppose 6*a - 36 = 96. Let n = 24 + 13. What is the remainder when n is divided by a?
15
Let t(d) = 2*d**2 + 5*d - 4. Let a = 32 - 18. Suppose w + 5 = 3*b, 0 = 2*b + 2*w - 7*w + a. Calculate the remainder when t(b) is divided by 15.
14
Let s(c) = c**2 + c - 14. Let w(j) = -j**2 - 7*j - 3. Let l be w(-7). Let z be (-2)/l - 32/(-6). What is the remainder when 82 is divided by s(z)?
26
Suppose 3*x - 108 = 5*a, -3*x - a + 81 = 3*a. Suppose 0 = 25*r - x*r + 42. What is the remainder when 34 is divided by r?
6
Let g = 750 + -731. What is the remainder when 38 is divided by g?
0
Let v be 160/(-30)*(-27)/4. Suppose -2*c = -0*c + v. What is the remainder when -6*-6*(-4)/c is divided by 4?
0
Suppose -7*f = -4*f. Suppose -2*u + 5*z = 3*z, 2*u + 2*z - 20 = f. What is the remainder when u is divided by 6/(-4)*(-48)/18?
1
Let j(g) = -2*g**2 + 19*g - 9. What is the remainder when 104 is divided by j(5)?
32
Suppose 0 = c, -2*c - 162 = -k + c. Calculate the remainder when k is divided by 41.
39
Let h = 48 + -39. Calculate the remainder when 116 - (7 + h/(-3)) is divided by 19.
17
Suppose -747 - 408 = -15*u. What is the remainder when u is divided by 18?
5
Suppose -c - 5*a + 38 = 0, -19 = -c + 2*a - 9. Suppose 202 = 4*s + c. What is the remainder when 229 is divided by s?
45
What is the remainder when 3/2*(32 - 1 - -3) is divided by 11?
7
Suppose -59*l = -51*l - 352. Calculate the remainder when l is divided by 39.
5
Suppose -5*z - 3*x + 31 = -6*x, z = 2*x + 2. Let a(l) be the first derivative of -2*l**2 - 42*l - 28. Calculate the remainder when a(-16) is divided by z.
6
Suppose 2*f - 27 = 4*d - 3*d, 5*d - 8 = -3*f. What is the remainder when 186 is divided by f?
10
Let z(a) = -a**3 + 12*a**2 - 20*a + 7. Let b be z(10). Let r(k) = k**2 + 20. What is the remainder when r(b) is divided by 14?
13
Let b(h) = -h**3 - 19*h**2 - 10*h + 49. What is the remainder when b(-19) is divided by 27?
23
Let m(l) = 2*l**3 + 7*l**2 + l. Let d be m(-3). Let w(z) = -3*z**2 + 20*z - 2. Calculate the remainder when (-158)/(-6) - (-2)/3 is divided by w(d).
7
Let d(k) = -14*k**3 - 2*k**2 + 1. Let q be d(1). Let i = -2 - q. What is the remainder when i is divided by 9?
4
Suppose -10*o + 180 = 3*h - 5*o, 4*h + o - 240 = 0. Calculate the remainder when 105 is divided by h.
45
Suppose 6*l = 2*p + 8*l - 42, p - 9 = 5*l. Suppose 33 = -3*d + 4*j, 4*d + 3*j + 49 = 5. Let m = d + p. Calculate the remainder when 14 is divided by m.
6
Let i be (0/(-4))/(1 - -1). Let q(y) = -y**2 - y. Let g(o) = 5*o**2 + 5*o - 4. Let a(n) = -g(n) - 4*q(n). What is the remainder when 14 is divided by a(i)?
2
Let a = 52 + -8. Let o = a + -33. What is the remainder when 29 is divided by o?
7
Suppose 0 = 4*x + 16, 2*q + 6 = -x - 4. Suppose 0*y - 3*y - 5*z + 34 = 0, 40 = 3*y - z. What is the remainder when y is divided by 3 + 0 + (q - -4)?
1
Suppose 6 = u - 3. Let r(l) = l**2 - 8*l - 7. Let x be r(u). Calculate the remainder when (528/36)/(x/6) is divided by 12.
8
Let r(l) = -7*l + 45. Let w be (1 - (0 + 7))*(-10)/(-10). Calculate the remainder when r(w) is divided by 44.
43
Suppose 5*n - q = 687 + 2962, -4*n - 2*q + 2908 = 0. Calculate the remainder when n is divided by 17.
15
Suppose -42*g + 88*g - 2162 = 0. Calculate the remainder when g is divided by 6.
5
Let b(q) = 4 + 7 + 0 - q. Calculate the remainder when 12 is divided by b(4).
5
Let i = 85 - 20. Suppose 0 = 15*o - 10*o - i. What is the remainder when o is divided by 5?
3
Suppose 20*j = -6*j - 8*j + 1292. Let p(c) = -c + 263. Calculate the remainder when p(0) is divided by j.
35
Let w = 133 - 78. Let c = w - 37. Let v(f) = 73*f + 837. What is the remainder when v(-11) is divided by c?
16
Suppose 0 = -0*g + 3*g - 81. Suppose g = i + 2*i. What is the remainder when 124 is divided by i?
7
Let q(y) = y**3 + 16*y**2 - 16*y + 23. Suppose m - 5*m - 22 = 2*j, -3*j = -m + 54. What is the remainder when 35 is divided by q(j)?
5
Let i(w) = -6*w - 2. Let h = 1020 - 1015. What is the remainder when i(-2) is divided by h?
0
Let a(l) = -3*l - 5. Let i be a(7). Let g = 32 + i. What is the remainder when 71 is divided by g?
5
Let r(k) = 20*k**3 - k**2 - 7*k + 81. Let u(z) = -7*z**3 + 2*z - 27. Let c(b) = -6*r(b) - 17*u(b). What is the remainder when 82 is divided by c(6)?
19
Suppose -3*h + 60 + 6 = 0. What is the remainder when 56 is divided by h?
12
Let s(w) = -w**3 - 10*w**2 + 21*w - 22. Calculate the remainder when 97/1 - 0 - 0 is divided by s(-12).
13
Let i(a) = a**2 + 9*a + 13. Let z be i(-9). Let m = z + 35. Calculate the remainder when 190 is divided by m.
46
Let g = -20 - -50. Calculate the remainder when g is divided by 4.
2
Suppose 0 = -5*o - 2*s + 3*s + 65, 0 = 4*s. Suppose 0 = -y + p + 3 + 5, 2*y = -2*p + 16. What is the remainder when o is divided by y?
5
Suppose -5*l + 81 = -339. What is the remainder when 160 is divided by l?
76
Suppose 3*j - 6*j + 22 = 2*p, -3*j + 37 = 5*p. Suppose 3*d + 12 = -d, 5*n - p*d = 130. What is the remainder when 39 is divided by n?
16
Suppose 202*p - 840 = 194*p. Calculate the remainder when p is divided by 28.
21
Let j = -582 - -625. Let l(s) = -s**3 + 6*s**2 + 13*s - 5. Calculate the remainder when l(5) is divided by j.
42
Let s(o) = 52 - 5 + 0*o + 13 + 3*o. Calculate the remainder when 17 is divided by s(-18).
5
Let c(t) = 7*t - 78. Calculate the remainder when 133 is divided by c(14).
13
Let i = 38 + -3. Let b = 50 - i. What is the remainder when 28 is divided by b?
13
Let g = -211 - -227. What is the remainder when 282 is divided by g?
10
Suppose j - 4 = -4*h + 36, -j + 88 = -4*h. Let a(r) = -18*r. Calculate the remainder when a(-7) is divided by j.
62
Let l be (-12)/18*(-150)/(-4). Let a = l - -44. Suppose -a = -3*g + 11. What is the remainder when g is divided by 5?
0
Suppose 17*j - 7*j - 1120 = 0. Calculate the remainder when j is divided by 30.
22
Let b(q) = 20*q**2 - 20*q + 54. What is the remainder when b(4) is divided by 27?
24
Let o = 630 - 626. What is the remainder when 62 is divided by o?
2
Let l(r) = -10*r. Let d be l(1). Wh