r when b is divided by 23.
10
Let q be 72/9*(-1 + 0). Let o(y) = -y**3 - 7*y**2 + 7*y + 16. Calculate the remainder when 68 is divided by o(q).
20
Let g be 22/8 - 39/52. Let t be g/1 + -8 + 9. Suppose 21 = -2*o + t*o. What is the remainder when 81 is divided by o?
18
Suppose a = -a + 4. Let b = 326 + -326. Suppose -4*h + 20 = b, 0 = q + q - a*h - 68. Calculate the remainder when 75 is divided by q.
36
Calculate the remainder when (-1 - 1)/(8 - 1332/166) is divided by 34.
15
Suppose -6*n + 112 = -2*n. Calculate the remainder when n is divided by 27/2 - 15/(-6).
12
Suppose 2*v + 25*r - 26*r = 61, 3*r + 71 = 2*v. Calculate the remainder when 1370 is divided by v.
26
Let q(n) = 6*n - 28. Let g = 103 + -8. What is the remainder when g is divided by q(10)?
31
Let r(j) = j**2 - 4*j - 315. What is the remainder when r(32) is divided by 8?
5
Let z = -129 + 212. What is the remainder when z is divided by 44?
39
Let x(q) = 2*q**3 - 9*q**2 + q - 1. Calculate the remainder when x(6) is divided by (266/70)/((15/(-3))/(-25)*1).
18
Suppose 2 = q - 0*q. Let z(v) = 30*v - 10. Calculate the remainder when z(q) is divided by 15.
5
Suppose 4*v - 15 - 49 = 0. Let b(i) = i**2 + 22*i - 235. Calculate the remainder when b(9) is divided by v.
12
Let w be 1*5 - 22/11 - 0. Suppose 0 = 2*u - 3*u, -u + 168 = w*i. Calculate the remainder when i is divided by 19.
18
Let s be (260/39)/(2/9). Suppose 42 = 4*b - s. What is the remainder when b is divided by 10?
8
Let y(v) be the third derivative of -5*v**4/24 - 7*v**3 - 28*v**2. Calculate the remainder when 7 is divided by y(-9).
1
Suppose -k = -4*w - 53, -w - 46 = -5*k - 9. Let p be (-6)/w - (-2)/(-4). Suppose -2*a - a + 69 = p. Calculate the remainder when a is divided by 6.
5
Suppose 6*k = -3*k + 2763. What is the remainder when k is divided by 31?
28
Let m(p) = -p**3 + 7*p**2 + 7*p - 11. What is the remainder when 65 is divided by m(7)?
27
Suppose -5*s + 0*q = 2*q + 116, -8 = -4*q. Calculate the remainder when 70 is divided by s/32 - 51/(-4).
10
Let u(v) = 9 - 13 - v**2 - 26*v + 46. Let f(r) = -r**2 + 7*r - 2. Calculate the remainder when u(-27) is divided by f(5).
7
Suppose 0 = 6*i - 361 - 53. What is the remainder when 480 is divided by i?
66
Let k be 82/(-12) - (-1)/(-6). Let q = -8 - k. Calculate the remainder when 34 is divided by ((-63)/28)/(q/4).
7
Suppose -26*v + 24*v + 4*t = -32, v - 5*t - 13 = 0. Calculate the remainder when 69 is divided by v.
15
Suppose -2*c = 3*g - 92, 96 = 2*c - g + 6*g. What is the remainder when 85 is divided by c?
42
Let q be 3 + 102/9 + 6/9. What is the remainder when 31 is divided by -12*((-2)/q)/((-2)/(-20))?
15
Let k(b) be the second derivative of b**4 - 3*b + 1/20*b**5 - 4*b**2 + 7/6*b**3 + 0. What is the remainder when k(-11) is divided by 19?
17
Let c be (-1 + 9)*1/4. Suppose 2*k - 111 = -5*a - c*k, -5*k + 110 = 5*a. Let n = 10 + -4. What is the remainder when a is divided by n?
5
Let u = 676 - 447. What is the remainder when u is divided by 119?
110
Suppose 6396 = 27*l - 14*l. Calculate the remainder when l is divided by 15.
12
Suppose -2*g + 4*b + 27 = g, -b = -2*g + 18. Let i(z) = 8*z**2 + 19*z - 19. What is the remainder when g is divided by i(1)?
1
Suppose -3*o - 27*o + 210 = 0. Calculate the remainder when 15 is divided by o.
1
Suppose 0 = 3*p - 3 - 3. Suppose -3 = -c - 8, -g + p*c + 23 = 0. Let j = -599 + 635. Calculate the remainder when j is divided by g.
10
Let h(n) = 26*n - 430. What is the remainder when h(27) is divided by 64?
16
Let m be 4/16*4 + 44. Let o be m/6*(-18)/(-5). Let a = o - 14. Calculate the remainder when 63 is divided by a.
11
Let q(g) = -g**3 + 7*g**2 - 5*g - 6. What is the remainder when 52 is divided by q(3)?
7
Let t(q) = -36*q - 2. Calculate the remainder when t(-1) is divided by (-194)/(-10) - 2/5.
15
Suppose 0 = -4*z - z + 155. Let o = 83 - 67. What is the remainder when z is divided by o?
15
Suppose -2*y + 10 = 0, -5*w - 2*y + 155 = 2*y. What is the remainder when w is divided by -1 + 0 + 1 - -14?
13
Suppose 4*k + 240 = 7*k. What is the remainder when k is divided by 28?
24
Suppose 17*m - 3*m = 518. Let j = 4 - -10. What is the remainder when m is divided by j?
9
Let s(w) = -w**2 + 9*w + 27. Suppose 2*t - 2*a - 286 = 2*a, -3*t - 5*a = -473. Calculate the remainder when t is divided by s(10).
15
Suppose -37*m + 1088 = -21*m. What is the remainder when m is divided by 35?
33
Suppose -76*s - 125 = -77*s. Let g = 39 + -25. Calculate the remainder when s is divided by g.
13
Let x(u) = -44*u + 14. Calculate the remainder when x(-12) is divided by 32.
30
Let c = 350 - -128. Suppose 0 = 2*z + 4 - 8, 4*i + z - c = 0. Calculate the remainder when i is divided by 30.
29
Let v = 17 - 1. Suppose 59*a - 23*a - 1504 = 4*a. Calculate the remainder when a is divided by v.
15
Let x(i) = -i**3 - 4*i**2 - i - 4. Calculate the remainder when 73 is divided by x(-5).
21
Let d(w) = 103*w - 58. What is the remainder when 264 is divided by d(1)?
39
Suppose 0 = 38*v - 45*v + 686. What is the remainder when v is divided by 10?
8
Suppose 4*h = 33 + 7. Let s be 2*(-15)/h - -175. Let d = s + -98. Calculate the remainder when d is divided by 15.
14
Let w(x) = 0*x + x + 3 - 16. Let t be w(13). What is the remainder when 16 is divided by 3 + 6 + t/2?
7
Let u(o) = -o**3 - 2*o**2 - o + 6. What is the remainder when 70 is divided by u(0)?
4
Suppose -24 = -2*l + 30. Suppose l = 2*h + h. What is the remainder when h is divided by 6?
3
Let j(v) = -v**2 + 13*v + 30. Let b be j(15). Suppose -10 = 3*c - 4*c. Suppose -c*h + 8*h + 8 = b. What is the remainder when 9 is divided by h?
1
Let b(y) be the first derivative of y**4/2 + 8*y**3/3 - 2*y**2 - 2*y + 39. Calculate the remainder when 26 is divided by b(-4).
12
Let q(c) = -c**3 + 9*c**2 + 19*c - 118. Calculate the remainder when q(9) is divided by 14.
11
Let d(j) = -24*j + 1213. Let t(s) = -s**3 - 4 - 3*s + 4*s**2 + 0*s + 6*s. What is the remainder when d(49) is divided by t(4)?
5
Let o = -41 - -114. Let d = -46 + o. Let j(g) = 11*g + 6. What is the remainder when j(9) is divided by d?
24
Suppose 14*n - 17*n + 6 = 0. Suppose 8*f - 84 = n*f. Let m = 81 + -13. Calculate the remainder when m is divided by f.
12
Let u be ((-133)/21)/(2/(-6)). Suppose 0 = 4*f - 53 - u. What is the remainder when 49 is divided by f?
13
Let s(f) = f**3 + 8*f - 3*f + 1 + 9*f**2 - 8*f. Calculate the remainder when s(-9) is divided by 16.
12
Calculate the remainder when (35 - 38)/((-1)/197) is divided by 54.
51
Let a(u) = -u**3 + 17*u**2 + 3*u + 15. Calculate the remainder when a(16) is divided by 54.
49
Let i = 232 - 129. Suppose 3*q = -2*u + 76, 6*q - 2*u = 3*q + 80. What is the remainder when i is divided by q?
25
Suppose 5*n - 137 = -3*w, -9*w - 3*n + 51 = -8*w. Calculate the remainder when 54 is divided by w.
15
Let c = -4 + 4. Calculate the remainder when (4 - 3)*-1 + 7 + 0 is divided by 4*(-2 + 3 - c).
2
Let n(g) = -g**2 + 2 + 6*g**2 + 2*g**2 + 4*g - g**3. Suppose -5*p + 4*a = -39, -51*p + 2*a = -52*p + 19. Calculate the remainder when n(7) is divided by p.
8
Let x = 951 + -259. What is the remainder when x is divided by 33?
32
Suppose -3*m = 5*a - 85, -2*m - 85 = -4*a - m. What is the remainder when a is divided by 20?
0
Suppose 77 = -x + 5*j + 246, -3*j - 9 = 0. Calculate the remainder when x is divided by 144.
10
Let y = -374 - -561. What is the remainder when y is divided by 47?
46
Let v be (3 - 5) + 2 + 0. Suppose v*s + s = 24. What is the remainder when 70 is divided by s?
22
Let h(k) = 3*k**2 + 9*k - 26. What is the remainder when 113 is divided by h(4)?
55
Suppose -s = 5*m + s - 69, 3*m = -3*s + 45. Suppose 11 = 10*j - 9*j. Suppose 6*h = j*h - 25. Calculate the remainder when m is divided by h.
3
Let c(z) = -z**2 + 6*z + 22. Suppose -4*o = -7*o + 24. Calculate the remainder when 10 is divided by c(o).
4
Let j(v) = 122*v + 10170. Let o = -13 - -26. What is the remainder when j(-83) is divided by o?
5
Let y(p) = -5*p**3 + 53*p**2 + 23*p - 3. Let k(j) = 12*j + 1. What is the remainder when k(1) is divided by y(11)?
5
Let z = 159 + -141. Calculate the remainder when z is divided by 6.
0
Let k(z) = 8*z - 3. Let y be ((-12)/(-10))/(2/5). Let m be k(y). Suppose -m = -0*v - 3*v. Calculate the remainder when v is divided by 3.
1
Suppose -2*j = 5*k - 35, -5