pose -22 = -a + 5*s, 18 = c*a + 2*s - s. What is the remainder when 46 is divided by a?
4
Let r = 162 + -44. Suppose r = 2*s + 2. Calculate the remainder when s is divided by 15.
13
Let q = 400 - 571. Let l = -96 - q. Calculate the remainder when l is divided by 26.
23
Suppose 8 = 2*v, -2*b + 7 = 5*v - 17. Calculate the remainder when 8/(-196) - (-894)/294 is divided by b.
1
Let q = 37 - 35. Suppose 2*o - 156 = q*g - 4*g, -4*g + o = -307. Calculate the remainder when g is divided by 20.
17
Suppose r = -19 + 24. Let s(k) = 3*k**2 - 8*k + 4. What is the remainder when s(r) is divided by 20?
19
Suppose 5*c = 2*u + 88, 2*c + u - 52 = -15. What is the remainder when 22 is divided by (0 + c)*10/30?
4
Let f = -92 + 95. Suppose 0 = -4*o + f*o + 19. Calculate the remainder when 74 is divided by o.
17
Suppose -61 = 2*w - 275. What is the remainder when w is divided by (-1)/((-4)/(-18))*-6?
26
Suppose 2*g = d + 179, 3*g + 60*d - 63*d - 270 = 0. Calculate the remainder when g is divided by 19.
13
Let c(v) = 23*v + 1. Suppose -4*j - w = -j - 8, 4*j + w = 10. Suppose j*a - 29 - 3 = 0. What is the remainder when c(2) is divided by a?
15
Let z(u) = u**2 + 4*u + 4. Suppose m = -4*j - 17, 4*m + 4*j + 0*j = -128. Let s = m + 38. Calculate the remainder when s is divided by z(-3).
0
Suppose -3*y = 2*v - 4, 64*y = 60*y + 3*v + 28. Suppose -5*u = -5*d + 30, 3*d - 2*u - 9 - 14 = 0. What is the remainder when d is divided by y?
3
Suppose 0*u + 5*u + 5*y = 985, -967 = -5*u + y. Suppose 36 + u = n. Suppose -n = 3*i - 8*i. What is the remainder when i is divided by 12?
10
Let g(f) = f**2 - 5*f - 2. Suppose -2*r + 3 = 3*z, -2*r - 4 + 28 = -4*z. Let i be g(r). Suppose -36 = -2*m + i. Calculate the remainder when 39 is divided by m.
19
Suppose 110*f - 4176 = -151*f. Let d(p) = -p**3 + 2*p**2 + 5*p + 3. Calculate the remainder when d(-4) is divided by f.
15
Suppose 2*j - 5*k + 12 = 0, -5*j - 6 = 5*k - 46. Let d(q) = 2*q**3 - 7*q**2 + 11*q - 1. What is the remainder when 116 is divided by d(j)?
57
Let u = 717 - 696. What is the remainder when 323 is divided by u?
8
Let f(g) = -g**2 + 3*g + 3. Let a(v) = -v**2 + 2*v + 1. Let s(d) = -5*a(d) + 2*f(d). Calculate the remainder when -61*(-2 - -4)*56/(-112) is divided by s(3).
13
Suppose -2*b + 216 = 206. Calculate the remainder when 157 is divided by b.
2
Suppose 19 = 3*t - 0*k - 5*k, -2*t = -k - 1. Let c be -1 + t - (-47 + 1). Calculate the remainder when 41 is divided by 3/6 - c/(-2).
19
Let z be -1 - -4 - (-216)/9. Suppose 1 = 2*v - z. Suppose 4*m = 3*f + 229, -m + 2*f - 4*f + 49 = 0. What is the remainder when m is divided by v?
13
Let c = -32 - -35. Let p be (52/(-8))/(c/(-6)). Suppose -p = -3*h + 2*h. What is the remainder when h is divided by 10?
3
Let c(y) be the second derivative of -y**3/2 + 7*y**2/2 + 186*y. Let m be 14/(-4) - 1/(-2). What is the remainder when 30 is divided by c(m)?
14
Let i = 2335 + -2321. Calculate the remainder when i is divided by 4.
2
Suppose -2*v = -2*z + 60, 3*v - 127 = -3*z - z. Let s(x) = -69*x + 641. What is the remainder when z is divided by s(9)?
11
Suppose -r + 1197 = 5*h, -10*r + 6*r + 486 = 2*h. What is the remainder when h is divided by 60?
59
Suppose -4*j + 5*v = -24, 2*j - 2*v = -5*v + 12. What is the remainder when 36 is divided by j?
0
Suppose -2*b + s = 16 - 49, -3*s = 4*b - 51. Suppose -3*h = -2*x - 278 - 210, -3*x = 4*h - 645. Calculate the remainder when h is divided by b.
12
Let w(b) = b**3 - 17*b**2 - 20*b + 97. What is the remainder when 424 is divided by w(18)?
58
Let b(k) = -10*k + 1. Let a be b(-3). Let v = 22 - a. What is the remainder when 25 is divided by v/(1/(-1 + 0))?
7
Suppose 0 = -3*k - 13 + 91. What is the remainder when 129 is divided by k?
25
Suppose 0 = -u - 11 + 10. Let l(n) = 9*n**2 - n. Let d be l(u). Suppose -8 = -w - 5*k, -d = -4*w - 2*k + 4*k. Calculate the remainder when 14 is divided by w.
2
Let q = -19 + 29. Let l(m) = -m**2 + 13*m - 33. Calculate the remainder when q is divided by l(5).
3
Suppose -32 = -3*j + 58. Suppose -3*v = -0*v - 177. What is the remainder when v is divided by j?
29
Let b(m) = 14*m - 99. Suppose 0 = 5*s - 2*s - 114. What is the remainder when s is divided by b(8)?
12
Let u(i) = 9*i + 8. Let p = -17 - -20. Calculate the remainder when u(p) is divided by 20.
15
Let i(o) = o + 6. Let a be i(-3). Suppose a*k + 40 = 5*k. Suppose 0 = -2*y - 27 + 145. What is the remainder when y is divided by k?
19
Let f(o) = 22*o**2 - 3*o + 8. Let m be f(2). Let x = m + -50. What is the remainder when x is divided by 22?
18
Let n = 175 - 128. Calculate the remainder when n is divided by 14.
5
Suppose -4*s + 362 = -2*o, 4*o - 115 = -2*s + 41. Calculate the remainder when s is divided by 5.
3
Let s = -6 - -13. Let z = -96 + 100. Suppose -p + 26 = 2*k + z*p, -2*p = 3*k - 39. What is the remainder when k is divided by s?
6
Let v(p) = p**2 + p + 8. Suppose 3*w - 78 = -3*z, -5*w = -w - 5*z - 140. Calculate the remainder when w is divided by v(0).
6
Suppose 45*g = 39*g + 162. What is the remainder when 89 is divided by g?
8
Suppose -182 = -4*k + 2*y + 152, -3*k + 252 = -2*y. Calculate the remainder when k is divided by 12.
10
Let w(i) = -i**3 + 9*i**2 - 5*i + 6. What is the remainder when w(4) is divided by 3/(135/804) + (-18)/(-135)?
12
Let q(a) = -a**2 + 9*a - 11. Let o = 36 + -30. What is the remainder when q(o) is divided by 4?
3
Suppose 2*l - 60 = -3*g, -3*g + l + 97 = 55. What is the remainder when g is divided by (-4)/(2*2/(-4))?
0
What is the remainder when (93/(-372))/(1/(-712)) is divided by 30?
28
Suppose 5*s - 17 = -4*t, 3*s = 7*s - 2*t - 24. Let b(i) = -3 - 5 + 2*i**2 + 0*i**2 + s*i. Calculate the remainder when 33 is divided by b(-5).
16
Let w be 2*63/(-12)*12/14. What is the remainder when 39 + ((-3)/(w/(-6)))/(-2) is divided by 22?
18
Calculate the remainder when 5*(-4)/50*(-1355)/2 is divided by 21.
19
Let l(o) = -o**3 + 6*o**2 - 4*o + 17. Let x be l(5). Suppose 8*t - 198 = -x. Calculate the remainder when t is divided by 8.
6
Calculate the remainder when 108 is divided by 4*7579/330 - (-4)/30.
16
Let j(f) = 12*f + 20. Calculate the remainder when j(32) is divided by 58.
56
Suppose 3*b - 245 = 10. Calculate the remainder when b is divided by 47.
38
Let v(x) = 2*x**2 - 4*x - 19. What is the remainder when v(-5) is divided by 28?
23
Suppose -d = 1, 52 = 3*o - 3*d + 8*d. What is the remainder when 80 is divided by o?
4
Suppose 0*y - 2448 = -4*y. Suppose -3*b + y = b. Suppose -41 = 4*a - b. What is the remainder when a is divided by 10?
8
Suppose 29 = -4*z + 97. Calculate the remainder when 6/16 - 5819/(-184) is divided by z.
15
Let k be (-3)/3 - (-4 - -1). Calculate the remainder when 44 is divided by k + (-11)/((-11)/10).
8
Let b = 2 - -3. Suppose -44 - 4 = -2*x. Calculate the remainder when x is divided by b.
4
Suppose 4*z + 2*s = 7 + 19, -5*z + 3*s + 60 = 0. Suppose 0 = -3*b - z + 30. Calculate the remainder when 48 is divided by b.
6
Let l = 43 - -24. What is the remainder when l is divided by (-5 - -3)/((-24)/420)?
32
Suppose -9*r = -509 + 167. What is the remainder when r is divided by 15?
8
Let u be (-6)/(-2)*(-10 - -11). Suppose 0 = u*t - 4*o - 41, 2*t + 0*o - o - 24 = 0. What is the remainder when 15 is divided by t?
4
Let z = -3 - -5. Calculate the remainder when 522/6 - (-4)/z is divided by 18.
17
Let d = -195 + 117. Let c = -20 - d. Calculate the remainder when c is divided by 32.
26
Let u(l) = -l**3 + 10*l**2 - 9*l - 9. Let t be (12 - 0) + -2 - 1. Let p be u(t). What is the remainder when 35*1 - 18/p is divided by 10?
7
Let n = -80 + 58. What is the remainder when (1/2)/(n/(-1364)) is divided by (-52)/(-6) - (-4)/(-6)?
7
Let s = -1020 - -1068. What is the remainder when 1919 is divided by s?
47
Let w = 25 + 57. Let c = -69 + w. What is the remainder when 50 is divided by c?
11
Suppose -162*v - 166 = -164*v. What is the remainder when 247 is divided by v?
81
Calculate the remainder when (-470)/(-8) - (75/20 - 4) is divided by 9.
5
Suppose 3*s - 5*r - 20 = 0, -4*s + 2 = -3*s - 4*r. Let x = -47 + 93. Let q = 85 - x. What is the remainder when q is divided by s?
9
Let k = -9 - -19. Let w(r) = r**3 + r**2 - 2*r + 1. Let x be w(3). Suppose 4*b - 85 = x. What is the remainder when b is divided by k?
9
Suppose 4*d - 4*j - 88 = -5*j, 0