uppose 4*h + z = 40. What is the remainder when 15 is divided by h?
6
Let a be (-2)/(-3) - (-212)/(-12). Let l = -18 - a. What is the remainder when (l/(-1))/((-8)/(-408)) is divided by 18?
15
Let s = 811 + -362. What is the remainder when s is divided by 11?
9
Let k(u) be the second derivative of u**4/3 - u**3/2 + 4*u. Let z(m) = 3*m + 17. Let c be z(-5). What is the remainder when 36 is divided by k(c)?
6
Let b(y) = 11*y - 239. Calculate the remainder when 548 is divided by b(24).
23
Let f = -593 + 932. Calculate the remainder when f is divided by 68.
67
Suppose -4*y - 3*z + 8*z = 0, -y - 2*z + 13 = 0. Suppose 0 = 3*m - 0*m + 4*b - 52, 3*m - y*b - 70 = 0. Calculate the remainder when 56 is divided by m.
16
Let k be (-24)/(-3) - (3 + 0). Let l(a) = -a**3 + 5*a**2 - a + 7. Let m = -2 - -6. What is the remainder when m is divided by l(k)?
0
Suppose -3*x + 24 = x. Suppose 12 = x*g - 5*g. Calculate the remainder when (-98)/(-3) - (-4)/g is divided by 12.
9
Let u = 147 - 138. Calculate the remainder when 40 is divided by u.
4
Let o(z) = 16*z - 1. Let c be o(1). Suppose -4*x = -c - 77. What is the remainder when 88 is divided by x?
19
Let r(f) = f**2 + 32*f - 151. What is the remainder when 47 is divided by r(5)?
13
Suppose 4*p = -p + 55. Suppose p = 6*r - 5*r. Let z = 68 + -26. What is the remainder when z is divided by r?
9
Let r be ((-23)/(-69))/((-2)/(-12)). Calculate the remainder when 3 is divided by (0 - 2)/((-4)/r).
0
Let c be (-39)/(-3) - (2 + 2). Let d = c + -5. Suppose 168 = d*g + 4*t + t, 5*t = 3*g - 91. What is the remainder when g is divided by 13?
11
Suppose 4*f - 179 = 4*s - 75, 2*s - 98 = -3*f. Let g(i) = -3*i**2 + 3*i + 4. Let x be g(4). Let d = 48 + x. What is the remainder when f is divided by d?
14
Suppose -176 = 2*x - 276. Suppose x + 40 = 9*k. What is the remainder when 19 is divided by k?
9
Let x be 0/(0 - (-1)/(1/(-2))). Suppose x = c - 10 - 0. What is the remainder when c is divided by 4?
2
Suppose -5*v = -5*x - 45, 3*v + 5 - 35 = 4*x. Let k be ((-2)/(-5))/(2/50). Suppose 3*l + k + v = 4*r, 4*l = 0. Calculate the remainder when 15 is divided by r.
3
Suppose -b + 329 = 3*r, -231 - 88 = -3*r + 4*b. Let g = 904 + -867. Calculate the remainder when r is divided by g.
35
Suppose -12 = 4*l, -29 = -5*b + 5*l + 26. Let r = 8 - b. Suppose 3*a + 2*a - 15 = r. What is the remainder when 4 is divided by a?
1
Suppose -13 = -z + 10. What is the remainder when 90 is divided by z?
21
Let g = -462 + 565. Suppose m = -4, -5*m + 9 = -u + 42. What is the remainder when g is divided by u?
12
Suppose h + 5*l - 111 = -18, 0 = -5*h - 3*l + 355. What is the remainder when 201 is divided by h?
65
Let a(p) = 2*p**2 + 3*p - p**3 + p**2 - p - 1. What is the remainder when a(-3) is divided by 24?
23
Suppose 2*q = -q + 57. Let g(u) = -u**2 - u - 1. Let a(y) = -3*y**2 - 4*y - 4. Let h(c) = -2*a(c) + 4*g(c). Calculate the remainder when q is divided by h(-3).
9
Let g(x) = 3*x**2 - 25*x - 12. Let a(f) = f**2 - 13*f - 6. Let k(q) = 5*a(q) - 2*g(q). Calculate the remainder when 172 is divided by k(-10).
40
Calculate the remainder when -50*5/(-6) + (-34)/51 is divided by 39.
2
Let u be (-1 - -12)*1*1. Suppose 0*l + 3*l - m = 17, -2*l + m = -u. Calculate the remainder when 13 is divided by l.
1
Suppose -7*w + 21*w = 13*w. Let l = 14 + -9. Suppose w = -0*r + r - 2*u - 14, 0 = -5*r + l*u + 75. What is the remainder when r is divided by 9?
7
Let b be 0/((-8)/(-20)*5). Suppose b*i + 320 = 10*i. What is the remainder when 61 is divided by i?
29
Suppose -16 = d - 2*d. Let c = -16 + d. Suppose 0 = -c*q + 2*q - 44. What is the remainder when 65 is divided by q?
21
Let n(l) = -l**3 - 5*l**2 + 4*l + 7. Let d be (-3 + (5 - -1))*-7. What is the remainder when n(-6) is divided by 2/(-1 + d/(-15))?
4
Suppose -20 = -5*a, -22*a + 18*a = -4*k + 96. Let i(v) = v**3 + 11*v**2 + 18*v + 9. Calculate the remainder when i(-7) is divided by k.
23
Let z = -35 + 31. Let w(k) = 2*k**2 + 3*k - 10. Let y(s) = 2*s**2 + 2*s - 10. Let x(c) = z*w(c) + 5*y(c). What is the remainder when x(4) is divided by 4?
2
Let o be (25/15)/(1/9). Calculate the remainder when 29 is divided by 1/(15/189) - (-6)/o.
3
What is the remainder when 398 + 11 - (1 + 4) is divided by 15?
14
Let r be (-1)/(0 + 0 + -1). Let h(g) = 4*g + 1. Suppose c + 10 = 2*c - 2*m, -5*m = -4*c + 49. What is the remainder when c is divided by h(r)?
1
Let h = 344 + -145. Suppose 121 + h = 5*n. What is the remainder when n is divided by 22?
20
Suppose 0 = -4*n + 2*z + 298, -465 = -5*n + 5*z - 105. What is the remainder when n is divided by 14?
7
Let i = -984 + 1155. Calculate the remainder when i is divided by 16.
11
Let y(o) = 11*o - o + 3 + 4 - 2. What is the remainder when y(3) is divided by 18?
17
Suppose 0 = 3*w - 2*w - 71. Suppose -2*m - 4*j + 87 = -j, w = m - 4*j. Suppose -216 = -11*s - 18. What is the remainder when m is divided by s?
15
Suppose -2*c - 2 = -8. Calculate the remainder when 111 is divided by 65/c + (160/15)/8.
19
Suppose -6*f = -39 + 27. Suppose 4*b + 4*w - 4 = 6*w, 3*w = -2*b + f. Let i(x) = x**3 - x**2 - 1. What is the remainder when i(2) is divided by b?
0
Suppose -4*k - 2*m + 3596 = 0, 0 = -3*k + 6*k + 2*m - 2699. What is the remainder when k is divided by 90?
87
Suppose h + 300 = 5*p, p + 4*h - 95 = -14. What is the remainder when p is divided by 9?
7
Let r = -362 + 366. What is the remainder when 14 is divided by r?
2
Suppose -103*q + 111*q - 96 = 0. What is the remainder when 22 is divided by q?
10
Suppose -698 = -41*x + 327. Calculate the remainder when 187 is divided by x.
12
Let p(f) = f**2 - 2*f. Let y be p(2). Let g = -38 - -42. Suppose y = 2*s - 4*s, 40 = g*h + 3*s. Calculate the remainder when 48 is divided by h.
8
Suppose 3*b - 6*u + 2*u = 120, -200 = -5*b + 3*u. Let k = b - 31. Calculate the remainder when (1 - -7)*2 + 1 is divided by k.
8
Let l = 6 + -342. What is the remainder when 61 is divided by (l/32)/((-1)/2)?
19
Suppose -1 + 61 = 2*g. Let h be (-2)/6*(0 + 0). Calculate the remainder when -3 - (h + -30)*2 is divided by g.
27
Let g(m) = -m**3 + 10*m**2 - 12*m + 34. Let p(c) be the third derivative of -c**4/8 - 13*c**3/6 + c**2. Calculate the remainder when g(8) is divided by p(-10).
15
Suppose -k + 4*k - 114 = 0. What is the remainder when k is divided by 3*(-170)/(-150)*5?
4
Suppose -2*p - 7 = -t, -54 = t - 5*t - 5*p. Let b = 32 + -13. Calculate the remainder when b is divided by t.
8
Suppose -1 - 75 = -4*r - 5*m, -3*m = 0. Let g be ((-6)/5)/(6/140). Let c = -18 - g. Calculate the remainder when r is divided by c.
9
Suppose -3*j - 600 = j + m, -4*m + 450 = -3*j. Let b = j + 317. What is the remainder when b is divided by 42?
41
Let y(u) = 65*u**3. Let f be (-1)/(2 - 171/85). Calculate the remainder when y(1) is divided by (f/(-20))/(1/(-4)).
14
Suppose 4*h = -5*o + 97, 2*o - 110 = -5*h - 2*o. Suppose 2*j = 16 + h. Calculate the remainder when 33 is divided by j.
16
Let g = 75 + -54. Calculate the remainder when 2/14 - (3 + (-558)/14) is divided by g.
16
Calculate the remainder when 4*2/52 - 58911/(-3497) is divided by (1 - 2)/(1/(-4)).
1
Let m be (-552)/36*3/2. Let c = m + 33. Suppose 5*w - 27 - 4 = -4*x, 5*x - 2*w - 14 = 0. Calculate the remainder when c is divided by x.
2
What is the remainder when -3 + (362 - (-1 - -6)) is divided by 51?
48
Let a = 119 - -65. What is the remainder when a is divided by 31?
29
Let y = 51 + -16. Let h = 439 + -420. Calculate the remainder when y is divided by h.
16
Let z(l) = 6 + 3*l + 0 - l**3 - 4 + 2. What is the remainder when 8 is divided by z(-2)?
2
Suppose -322 = -4*k + 2*l, 4*k + 2*l - 304 = -2*l. Suppose -2*u + 2 = 0, 5*n - u = 3*n + 81. Calculate the remainder when k is divided by n.
38
Let q(h) = -h**3 - h**2 + h + 2. Let f be q(-6). Suppose f - 26 = c. What is the remainder when c is divided by 38?
36
Let g = 50 - 47. Suppose 7 = g*w + 5*r + 2, 5*r + 30 = 4*w. Calculate the remainder when 16 is divided by w.
1
Let t(u) = 4*u - 4. Let w be t(-4). Let h = -1287 + 1295. Calculate the remainder when (-252)/w - (-2)/5 is divided by h.
5
Let x = -1 - -13. Let v = 4 + 18. What is the remainder when v is divided by x?
10
Suppose -7*f + 126 = -5*f. Let m = f - 7. What is the remainder when m is divided by 17?
5
Let t(d) = 4*d - 20. What is the remaind