emainder when 33 is divided by s(z)?
3
Suppose 115 + 542 = 5*t - s, 0 = t + 5*s - 121. What is the remainder when t is divided by 13?
1
Suppose -36*f = -3258 - 13734. What is the remainder when f is divided by 59?
0
Let l = -2 - -354. What is the remainder when l is divided by 59?
57
Suppose -8*y = -11*y + 3. Calculate the remainder when 18/(-12)*-20 + 1/y is divided by 18.
13
Let o = 51 + -10. Calculate the remainder when 76 is divided by o.
35
Suppose 0 = -3*a - 9, k + a = -0*a + 9. Let v(i) be the second derivative of 2*i**3/3 - 12*i**2 + i. Calculate the remainder when 71 is divided by v(k).
23
Suppose -18 = -4*b - 6. What is the remainder when 27 is divided by 2/(-4) - b/(6/(-29))?
13
Let a(s) = -s + 11. Let l be a(9). Suppose 4*h - 26 = -c + 47, 69 = c + l*h. What is the remainder when 8 is divided by c/15 + 6/9?
3
Let m(y) = -y**3 + 6*y**2 - 3*y + 3. Suppose -5*j - x + 65 = 0, 0 = j + 18*x - 21*x - 13. What is the remainder when m(4) is divided by j?
10
Let q = -454 - -465. What is the remainder when 274 is divided by q?
10
Suppose 0 = 4*s + 5*z - 223, -s = 5*z - z - 64. What is the remainder when s is divided by (-1)/(-5) - 78/(-10)?
4
Let x(l) = 3*l**3 - 5*l**2 + l + 3. Suppose 0 = 2*y - 1 - 5. Calculate the remainder when x(y) is divided by 22.
20
Let s = 957 - 922. What is the remainder when 158 is divided by s?
18
Let f(t) = t**2 - 5*t + 18. What is the remainder when 121 is divided by f(8)?
37
Suppose -50 = -5*h - 5*v, 22*h + 22 = 25*h - 5*v. Calculate the remainder when 122 is divided by h.
5
Let o = 408 - 116. Suppose -268 - o = -4*x + 4*a, 424 = 3*x - 4*a. Suppose 0 = -10*n + 14*n - x. Calculate the remainder when n is divided by 9.
7
Let z = -56 + 60. Suppose -z*o = -60 - 20. Calculate the remainder when o is divided by 13.
7
Let p be 8/(-1)*(105/(-10))/(-7). What is the remainder when 181 is divided by (-9)/(-12) + (-303)/p?
25
Let i(l) = -l**3 - l**2. Let h(g) = -2*g**3 + 9*g**2 - 4*g - 4. Let f(k) = -h(k) + i(k). Let x = -33 - -56. What is the remainder when f(10) is divided by x?
21
Suppose 6*n + 22 - 280 = 0. What is the remainder when n is divided by 36?
7
Let b(n) = 2*n**3 - 24*n**2 + 5*n - 4. Calculate the remainder when b(13) is divided by 67.
64
Suppose 16*i - 13*i - 15 = 0. Suppose 0*v = -i*v + 30. Let g(u) = u**3 - 7*u**2 + 8*u - 2. Calculate the remainder when 27 is divided by g(v).
7
Let r(b) = 6*b - 11. Let g be r(11). Suppose g = 3*i - c - 33, -5*c + 40 = i. What is the remainder when i is divided by 8?
6
Let g(n) = -2*n**2 - 37*n + 86. Calculate the remainder when 126 is divided by g(-19).
59
Let v = -18 - -21. Suppose 2*o = v*p + 116 - 25, -2*o - p = -111. Let g(x) = x**3 - x + 27. Calculate the remainder when o is divided by g(0).
26
Suppose 0 = p - 5*i + 4*i + 9, -47 = 3*p + i. Let y(h) = -4*h - 51. Calculate the remainder when 27 is divided by y(p).
2
Suppose r - l = 90, -5*r + 2*l = -452 + 2. What is the remainder when r is divided by 11?
2
What is the remainder when 6/(-1) - (-25)/5 - -59 is divided by 13?
6
Let b(o) = -o**3 - 4*o**2 + 6*o - 3. Let s be b(-6). Let w = 253 + -194. Let z = w - s. What is the remainder when 101 is divided by z?
23
Calculate the remainder when 6/(5 + -3) + 69 + 2 is divided by 25.
24
Let p = -46 - -10. Let m = 105 + p. Let t = m + -38. Calculate the remainder when t is divided by 11.
9
Suppose 100*k - 71*k = 812. What is the remainder when 179 is divided by k?
11
Let d = 355 + -336. Let j(u) = -u**3 - 5*u**2 - 2*u - 4. Calculate the remainder when d is divided by j(-5).
1
Suppose -v - 22 = -2*v. Let q = 17 + v. Let i = 10 + 0. What is the remainder when q is divided by i?
9
Suppose 3*u + 0*u - 162 = 0. Suppose 2*h - u = h. Calculate the remainder when h is divided by 8/6*(-21)/(-2).
12
Let d(g) = -19*g - 2. Suppose -1420 = 21*m - 31*m. What is the remainder when m is divided by d(-2)?
34
Suppose -c = -a - 6, -3 = c + 2*a + 6. Calculate the remainder when 47 is divided by (76/12 + (-4)/(-6))/c.
5
Let l = -732 + 774. What is the remainder when 94 is divided by l?
10
Let g(r) = -6*r - 22. Let y be g(-4). Let b = -10 - -42. Calculate the remainder when b is divided by (4/6)/((-4)/(-33))*y.
10
Suppose 2*s + 159 = 5*d, -3*d + 47 = 5*s - 36. Let u = 35 - 50. Calculate the remainder when d is divided by (-3)/(-2)*(-110)/u.
9
Suppose -l + 0 - 1 = 2*i, -13 = 4*l - i. Calculate the remainder when ((-4)/(-8))/1*18 is divided by l + 4 + 2*2.
4
Suppose -2*h + 0*d + 16 = d, 0 = 2*h - 4*d + 4. Let t be -1 + -2 - -1 - -59. Let r = -35 + t. Calculate the remainder when r is divided by h.
4
Let r(i) = -8 + 9 - i**2 + 0. Let o(c) = -7*c**2 - 16*c + 23. Let y(b) = o(b) - 6*r(b). What is the remainder when 46 is divided by y(-16)?
12
Let j(t) = -2*t - 40. Let w be j(5). What is the remainder when 23 is divided by 1/(-12 - -8) - w/8?
5
Let d(f) = -f**3 - 10*f**2 + 9*f. Let n(w) = -w**2 - 5*w + 25. Let b be n(-9). Calculate the remainder when 87 is divided by d(b).
21
Suppose 3*g = 3*v - 2*g - 88, -v = 4*g - 35. Let o = v - 26. Calculate the remainder when 9 is divided by o.
4
Suppose 5*v - 85 = -5*l, -4*v + 0*l + 2*l = -80. Let c = -1 - -1. Suppose 4*k - 53 - v = c. Calculate the remainder when 52 is divided by k.
16
Let m(t) be the first derivative of t**4/4 + 19*t**3/3 - t**2 + 5*t - 5. What is the remainder when 82 is divided by m(-19)?
39
Suppose -4*i + f + 448 = 0, 0 = 5*i + 4*f + 86 - 667. What is the remainder when i is divided by 19?
18
Let q = -67 - -128. What is the remainder when 114 is divided by q?
53
Let h(g) = g - 2. Let x be h(4). What is the remainder when (65/(-2))/(-5)*4 is divided by (-3)/x*(2 + -8)?
8
What is the remainder when 28 is divided by 16 + -4 + 10 + -4?
10
Let k(y) = y**3 + 7*y**2 + 5*y + 1. Let u(n) = -4*n**2 + 22*n + 77. Calculate the remainder when u(0) is divided by k(-5).
25
What is the remainder when 45 is divided by (2 + 0)/(2/10)?
5
Let s = -102 + 276. Calculate the remainder when 1/(s/86 + -2) is divided by 12.
7
Calculate the remainder when 60 is divided by 3/9 - 56/24*-14.
27
Let b be 3 - (-5)/(20/4). Suppose -84 = -0*m - b*m. What is the remainder when m is divided by 14?
7
Let b = 80 + -10. Let i = b + -5. Let s(k) = -2*k**3 - k**2 - 4*k - 3. Calculate the remainder when i is divided by s(-2).
14
Let p = 15 + -11. Suppose -3*t + 121 = -2*c + 3*c, p*c + 62 = 2*t. What is the remainder when t is divided by 20?
19
Suppose -2*l - 2*p - 36 = -250, -2*p = -10. What is the remainder when l is divided by 10?
2
Suppose -4*k = 20, -2*w - 2*k + 5 = -7. Let p be 1 + 1 - (2 - 4). Suppose 5*u = -3*d + 141, p*d - 50 = -3*u + 28. What is the remainder when u is divided by w?
8
Suppose -178*g + 184*g = 450. Calculate the remainder when g is divided by 28.
19
Suppose -5*r + 530 = -4*i, 0 = -3*r - 3*i + 69 + 276. Suppose -12 = -g + 26. What is the remainder when r is divided by g?
34
Suppose 3*n - 2*l = 24, -n + 2*l = -0*n - 8. Suppose n*y = 3*y + 90. Let x = 13 - -57. Calculate the remainder when x is divided by y.
16
Let f = 96 - 93. Suppose -2*a + 5*z = -f*a + 37, -43 = -a + z. Let s = 14 - 3. Calculate the remainder when a is divided by s.
9
Let i(m) = 74*m + 196. Calculate the remainder when 1244 is divided by i(-2).
44
Suppose -t + 27 = d, -t - 63 = -4*d + 40. Let u(v) = 24*v + 3. Calculate the remainder when u(2) is divided by d.
25
Suppose -3*q + 4 = 7, w + 2*q - 25 = 0. Suppose -1 = -s - m - 4*m, -4*s + 3*m = -w. What is the remainder when s is divided by 2?
0
Suppose 1705*s = 1703*s + 72. What is the remainder when (-2)/9 - (-965)/9 is divided by s?
35
Let z = -669 - -700. Calculate the remainder when z is divided by 7.
3
Let v = -2358 + 2414. Let x(j) = -7*j + 1. Let u be x(-3). Let t = u - 3. What is the remainder when v is divided by t?
18
Suppose 0*n - 2*n - 2*z + 20 = 0, -90 = -5*n + 5*z. Suppose -n + 174 = 4*b. What is the remainder when b is divided by 0 + 1 - 13*-1?
12
Suppose 4683*y + 5082 = 4697*y. Calculate the remainder when y is divided by 13.
12
Let t = -148 - -251. Calculate the remainder when t is divided by 29.
16
Let l(w) = -27*w + 208. Calculate the remainder when l(3) is divided by 44.
39
Suppose -2*w + 25 = 5*l, -l = 4*w - 4*l - 11. Suppose -w*i - 5*r = -155, 7*r - 95 = -3*i + 3*r. What is the remainder when i is divided by 4 - 8/12*-6?
