divided by 3.
2
Suppose -5*f - 31 = -2*s, 5*s + 5*f + 5 = f. Suppose 2*n - s*t - 108 = 0, -2*n - 4*t + 122 = -0*t. What is the remainder when n is divided by 20?
17
Let h be -4 + 3 + 1 - 0. Let r(z) = -2*z + 14. What is the remainder when 26 is divided by r(h)?
12
Suppose -2*y = 4, 0 = -5*q - 6*y + y + 280. What is the remainder when q is divided by 17?
7
Suppose 0*p - 4 = 4*p. Let r(f) be the third derivative of -11*f**6/40 - f**5/60 + f**4/24 + f**3/6 - f**2. Calculate the remainder when r(p) is divided by 17.
15
Suppose 4*p = 2*o - 24, 3*o + p - 45 = -16. What is the remainder when 87 is divided by o?
7
Let z = 9 - 3. Let g(f) = -6*f - 1. Let s(d) = -12*d - 1. Let a(t) = z*s(t) - 13*g(t). Calculate the remainder when a(7) is divided by 17.
15
Let b be 8 + (-9)/3 - 3. Suppose -3*m + 0*q + 48 = 5*q, 3*q - 33 = -b*m. What is the remainder when 34 is divided by m?
13
Suppose 3*a = 7*a + m - 291, -3*a + 4*m + 223 = 0. Let l(u) = 6*u**2 - 51*u - 107. Calculate the remainder when a is divided by l(-2).
16
Suppose -46*f + 45 = -323. Calculate the remainder when f is divided by 3.
2
Let x(p) = -p + 36. Let l be (-8)/(-2*(-2)/(-14)). What is the remainder when x(23) is divided by 10/2*l/20?
6
Let u(q) = -8*q + 15 + 0 - 1 - q. Let o be u(10). Calculate the remainder when 38 is divided by o/(-8) - 1/(-2).
8
Let c = 14 + -20. Suppose 4*a = 4*j - 300, 4*j - 296 = 10*a - 5*a. What is the remainder when j is divided by (10 + c)*(-54)/(-8)?
25
Let y(c) = -2*c - 6. Let f be y(-12). Let x = f + 5. What is the remainder when 43 is divided by x?
20
Suppose -5*t - 7*x + 71 = -4*x, 5*t - 89 = 3*x. Calculate the remainder when 41 is divided by t.
9
Let u(q) = -q - 12. Let r be u(-12). Suppose -f = -r*f + 1. What is the remainder when 71/(-2 - (f + -2)) is divided by 24?
23
Suppose -4*y + 9 + 3 = 0. Let m(s) = -s**3 + 10*s**2 + 3*s - 3. Let d be m(10). Let k = -23 + d. Calculate the remainder when k is divided by y.
1
Suppose 25*l = 37*l - 204. What is the remainder when 185 is divided by l?
15
What is the remainder when 114 + 12 + 35/(-7) is divided by 13?
4
Let y(r) = -2*r**3 - 5*r**2 - 14*r + 7. Calculate the remainder when y(-5) is divided by 69.
64
Let w(f) = 30*f**3 + f**2 - 10*f + 8. Let x(i) = 8*i - 1. Calculate the remainder when w(1) is divided by x(2).
14
Let x(n) = 3*n**2 + 30*n + 52. Calculate the remainder when x(-8) is divided by 2.
0
Suppose 10*p - p = 342. Calculate the remainder when p is divided by 21.
17
Let u be (-10 - -10)*((-4)/2 - -1). Suppose u = -m - 3*i + 72, i + 80 = m - 0*i. What is the remainder when m is divided by 20?
18
Let l(d) = 3*d + 33. Calculate the remainder when l(-6) is divided by 8.
7
Let z be (-1)/(-5) + 549/(-45). Let a = -10 - z. Calculate the remainder when 33 is divided by a + 14 - (0 - 2).
15
Let b = 9 - 43. Let a = -27 - b. What is the remainder when 20 is divided by a?
6
Suppose 33 + 126 = 3*w. What is the remainder when 155 is divided by w?
49
Let x = -63 - -36. Calculate the remainder when (-306)/x*(54/4)/3 is divided by 26.
25
Suppose 0 = 46*s - 49*s + 93. What is the remainder when 89 is divided by s?
27
Let v(b) = b**2 - 5*b - 4. Let q be v(7). Suppose 0 = -13*t + q*t + 69. Calculate the remainder when 62 is divided by t.
16
Let f(y) = -3*y + 6. Let d be f(5). Let l be 803/d - (-10)/45. Let i = -62 - l. What is the remainder when i is divided by 10?
7
Calculate the remainder when 41 is divided by (1 + 7)/((-1)/(-2)).
9
Suppose 147 = -0*p + 7*p. Calculate the remainder when 41 is divided by p.
20
Suppose -4*j = -4*z + 39 - 143, -5*z = -2*j + 124. Let v = 41 + z. Calculate the remainder when (3 - 8/4)*v is divided by 6.
5
Let b(p) = -2*p + 4. Let v be b(0). Let f be -533 - (-2)/(v/(-2)). What is the remainder when f/(-9) + (-6)/(-9) is divided by 21?
18
Suppose 0 = -4*w + 5*i + 74 + 240, 5*w - 4*i = 397. What is the remainder when w is divided by 31?
19
Suppose f - 6*f = -360. Let k = -3758 + 3774. What is the remainder when f is divided by k?
8
Let w = -698 + 720. Let q(s) = 3*s. Calculate the remainder when w is divided by q(1).
1
Suppose -4*g + 3*f = -491, 5*g = -2*f + 22 + 609. What is the remainder when g is divided by 9?
8
Suppose h - 26 - 33 = 0. Let z = h - 50. Calculate the remainder when (-114)/(-7) + 4/(-14) is divided by z.
7
Suppose -18 = -2*q + 34. Suppose -5*n - q = -66. Calculate the remainder when n is divided by 84/16 - (36/16)/9.
3
Suppose -9*j + 12 = -60. What is the remainder when 28 is divided by j?
4
Let m be 5/(-2) + (-275)/22. Let w(c) = -c**2 - 21*c - 24. Let a be w(-10). Let l = m + a. What is the remainder when l is divided by 12?
11
Let l = -196 + 236. Calculate the remainder when l is divided by 20.
0
Suppose -100 = 5*p - 410. Let q(d) = -d + 31. Let m be q(-12). Let h = -22 + m. What is the remainder when p is divided by h?
20
Let l(f) = f**3 - 10*f**2 + f + 8. What is the remainder when l(10) is divided by 11?
7
Calculate the remainder when 221 is divided by (-50)/(-6 + -4) + 3.
5
Let n = 32 + -28. Suppose n*s = -4*f - f + 221, 0 = -3*s + 12. Calculate the remainder when f is divided by 14.
13
Let v(c) be the second derivative of -3*c**3/2 + 4*c**2 - 3*c. What is the remainder when v(-2) is divided by 14?
12
Let q(c) = -10*c. Let t be q(-1). Let l be t/(-45) + (-1775)/(-9). Suppose y + 65 = -2*f + l, -f + 52 = -3*y. What is the remainder when f is divided by 22?
20
Let q(p) be the third derivative of -p**5/60 + 3*p**4/8 - p**3/2 - p**2. Let n(k) = 2*k + 10. Let j be n(-2). What is the remainder when q(j) is divided by 6?
3
Suppose 0 = -3*x - a + 34, -5*x + 38 = -4*a + 4. Calculate the remainder when 2 - (-3*1)/((-18)/(-156)) is divided by x.
8
Let i(q) = 16*q**2 - 7*q - 12. Calculate the remainder when 261 is divided by i(-2).
63
Let d = 63 - 32. Suppose -14*t = 23*t - 407. Calculate the remainder when d is divided by t.
9
Let i = -71 + 75. Suppose -2*q = i*y - 44, 4*q + 0*q = -5*y + 79. Calculate the remainder when 46 is divided by q.
14
Let u(c) = c**2 - c - 44. Let d be u(0). Let q = d - -61. Let x = -9 + 19. Calculate the remainder when q is divided by x.
7
Let y = -1232 + 1242. Let n(o) = o**2 + 8*o. Let u be n(-6). Calculate the remainder when y is divided by -1 + -1 + u/(-2).
2
Let c(k) = 4*k**2 + 7*k + 3. What is the remainder when c(-5) is divided by 81/108 + (-534)/(-24)?
22
Let q = 2 + 80. Let b = 288 - 267. Calculate the remainder when q is divided by b.
19
Let o = 16 + -2. Let w = 14 - o. Suppose 5*c - 3*g - 50 = w, 9*c = 4*c - 3*g + 20. What is the remainder when c is divided by 3?
1
Let l(h) = -9*h - 51. Let t = 0 - -44. What is the remainder when t is divided by l(-7)?
8
Let x be (-2)/(-8) - (-21)/12. Suppose -x*s + 4*s - 60 = -4*m, 3*s - 26 = -2*m. Suppose 62 = -4*d + 5*d. Calculate the remainder when d is divided by m.
14
Let m be (-80)/(-15) - (-1)/(-3). Suppose -2*v + m*v + 189 = -4*y, 2*y + 189 = -3*v. Calculate the remainder when (7/(-3) - -2)*v is divided by 8.
5
Let p(l) = -8*l - 40. What is the remainder when p(-12) is divided by 36?
20
Let j be (-4 + -2)/((-6)/8). What is the remainder when 37 + -1 + (j - 5) is divided by 15?
9
Let v be 7 - (0 + -1 + 4). Suppose v*h + 5*n + 160 = 7*h, 2*h = 3*n + 105. What is the remainder when 126 is divided by h?
36
Let m(l) = 2*l - 4. Let y be m(4). Suppose 9*q = y*q - 55. Let j = q - -12. Calculate the remainder when j is divided by 1.
0
Suppose -w + v = 4*v - 24, 0 = -5*v + 10. Let z be (8/(-20))/(2/(-20)). Calculate the remainder when w is divided by 6/(-1*(-4)/z).
0
Let h(f) = 11. Let s(k) = k + 1. Let v(q) = -h(q) - 3*s(q). Let r(j) = j**3 - 4*j**2 + j - 2. What is the remainder when v(-6) is divided by r(4)?
0
Suppose 0 = -13*g + 28*g - 645. Suppose 42 = t - 128. What is the remainder when t is divided by g?
41
Suppose q - f = -3*q + 638, 0 = -2*q - 3*f + 312. Calculate the remainder when q is divided by 72.
15
Let s = 49 + 286. What is the remainder when 2*5/(50/s) is divided by 23?
21
Calculate the remainder when 110 is divided by ((-444)/30)/(2/(-10)*2).
36
Let r = 66 - -113. Let x = r + -97. Calculate the remainder when x is divided by 21.
19
Suppose 2 = 3*l - 1. Calculate the remainder when 55 - (-1 + l - -4) is divided by 27.
24
Let t = -44 - -49. Suppose -51 = -t*p - 1. Calculate the remainder when p i