. Calculate the remainder when y/(-5) - 4/(-10) is divided by f.
1
Let y = 431 + -279. Suppose 6*j - y = 28. What is the remainder when j is divided by 17?
13
Let o be (-11)/(-22) - 139/(-2). Suppose -h - h + o = 0. Calculate the remainder when 139 is divided by h.
34
Suppose -370 - 34 = -4*f. Suppose 0 = -4*r + 81 + 7. Let c = r + 4. Calculate the remainder when f is divided by c.
23
Suppose -5*a + 3 + 102 = 0. Let o = 16 - a. Let i = 10 + o. Calculate the remainder when 8 is divided by i.
3
Let u(a) = a**3 - 8*a**2 + a - 8. Let d be u(8). Suppose -2*f = -d*f - 140. Let y = 16 + 2. Calculate the remainder when f is divided by y.
16
Suppose -3*x + 282 = -0*x - 4*t, 0 = -4*x - 2*t + 376. Suppose 70 = 8*c - 58. Calculate the remainder when x is divided by c.
14
Suppose 426 - 84 = 2*n. Calculate the remainder when n is divided by 43.
42
Suppose 5*i = -32 + 2. Let x be (40/i)/(8/(-12)). Let v = 23 - x. Calculate the remainder when 37 is divided by v.
11
Let f = -4335 - -4359. Suppose -5*k = -t + 6, -4*k - 2*t - 2 = -0. Let m = 93 - k. What is the remainder when m is divided by f?
22
Suppose 146 = 10*k + 76. What is the remainder when 349 is divided by k?
6
Suppose -3*o - 3*r + 24 = 0, 1 = -2*r + 7. Suppose 0 = o*k - k - 56. Calculate the remainder when (0 - (4 - 1)) + 57 is divided by k.
12
Suppose -194 = -16*j + 15*j. What is the remainder when j is divided by 28?
26
Let r = -12 - -16. Suppose 90 = -49*v + 55*v. Calculate the remainder when v is divided by r.
3
Let l be 3/(-6)*-2*(3 + -5). Calculate the remainder when 111 is divided by 1*l/7 + 396/14.
27
Let t(r) = 30*r - 132. Suppose 0 = -2*l - 6, 0 = -3*y - 3*l - 0*l + 42. What is the remainder when t(6) is divided by y?
14
Let d(k) = -k**3 - 23*k**2 - 24*k - 2. What is the remainder when 669 is divided by d(-22)?
39
Let k be ((-3)/4)/(2/(48/(-9))). Suppose -k*m - 26 = -n - 0*n, -3*m - 6 = 0. Calculate the remainder when 41 is divided by n.
19
Suppose -4*a = -2*a - 178. What is the remainder when a is divided by 10?
9
Let g be -30 + 0/(0 - 5). Let j = 9 - g. Let a = j + -33. What is the remainder when 9 is divided by a?
3
Let o(j) = 5*j - 22. Let s be o(5). Calculate the remainder when -1 + 35 - s - 6/6 is divided by (-50)/(-6) + 2/(-6).
6
Suppose -6*d + d + 140 = 0. Suppose -d - 8 = -3*n. Calculate the remainder when 58 is divided by n.
10
Suppose -1045 = -23*l - 32*l. Suppose 0 = 3*p - r - 2*r - 153, -207 = -4*p + 3*r. Calculate the remainder when p is divided by l.
16
Let p(b) = 3*b**2 - 5 - 28*b - 2*b**3 + 31*b + b**3. What is the remainder when p(3) is divided by 2?
0
Let l(g) = -9*g - 1. Let s be l(-1). Let c be (-4)/s + (-682)/4. Let k = -100 - c. Calculate the remainder when k is divided by 18.
17
Suppose -23*y + 1605 = -143. Calculate the remainder when 146 is divided by y.
70
Suppose -2*s - 3*m = -0*m - 84, 5*m = -4*s + 164. Calculate the remainder when 212 is divided by s.
32
Suppose -4*y = 4*v - 240, -2*y + 252 = 2*y + v. Calculate the remainder when 189 is divided by y.
61
Let b be (2 + 5/(-5))*755. Suppose -2*z + 453 = 3*i, 8*i = 3*i + 5*z + b. Calculate the remainder when i is divided by 38.
37
Suppose 44 = -4*u - 20. Let d = u + 49. Suppose -5*v + 39 + 51 = 0. Calculate the remainder when d is divided by v.
15
Calculate the remainder when 284 is divided by 90/((-2)/16*-44 + -4).
44
Suppose 4*n - 4*w = -n + 26, -3*n - 2 = 2*w. Suppose n*p + 2*q - 101 = 35, -q = 5*p - 356. Calculate the remainder when p is divided by 15.
12
Let y(b) = -5*b + 52. What is the remainder when y(-21) is divided by 13?
1
Let q(b) = 39 - b + 6*b - b - 5*b. Suppose 2 = -2*s, -13*u = -10*u + 5*s - 55. What is the remainder when q(0) is divided by u?
19
Let r be ((-1)/3)/((-5)/(-465)). Let d = r + 68. What is the remainder when d is divided by -2*(22/(-4) - 1)?
11
Let g be (-270)/(-234) + (-2)/13. What is the remainder when 256 is divided by g/((-4)/(-2) - (-73)/(-37))?
34
Suppose 75*y - 19*y - 19992 = 0. Calculate the remainder when y is divided by 60.
57
Let z(m) = 7*m**2 - 3*m - 1. Let c(g) be the first derivative of -g**4/4 - g**3/3 + g**2/2 + 18*g - 42. Calculate the remainder when z(3) is divided by c(0).
17
Let k(q) = -q**2 - 5*q + 2. Let s be k(3). What is the remainder when (16 + s)/(6/(-4)) is divided by 3?
1
Suppose q = -4*n - q - 16, -4*q = 3*n + 17. Let d be n/15 + (-11)/(-5). Suppose -1 = c, 0*w - d*c = 3*w - 211. What is the remainder when w is divided by 24?
23
Suppose p - 5 = -0*p. Suppose -p*x = x - 378. What is the remainder when x is divided by 8*(69/12 + -3)?
19
Let y be (-1268)/(-10) + 11/55. Let a = y - 38. What is the remainder when a is divided by 18?
17
Suppose -7353 = -13*t - 1737. Calculate the remainder when t is divided by 73.
67
Suppose 20*x + 10*x = 1110. Calculate the remainder when 157 is divided by x.
9
Let i = -5 - -14. Let x(j) = j**3 - 15*j**2 + 14*j + 5. Let y(c) = -2*c + 2. Let r be y(-6). What is the remainder when i is divided by x(r)?
4
Let a = -24 - -59. Calculate the remainder when a is divided by (-22)/(1 - (-11 - -14)).
2
Let n = 25 + -21. Suppose -l = -v - 24, 40 + 57 = n*l - 5*v. Calculate the remainder when 112 is divided by l.
20
Suppose 0*m - 64 = -2*m + 4*l, -3*l - 12 = 0. What is the remainder when 674/8 - m/(-32) is divided by 18?
13
Let b = -128 - -565. What is the remainder when b is divided by 8?
5
Suppose -105*u = -100*u - 475. What is the remainder when u is divided by 17?
10
Suppose 0 = r - 5*r - 56. Let y(k) = -8*k**3 - 4*k**2 + 3*k. Let t be y(2). Calculate the remainder when 9 is divided by (-2)/7 + t/r.
4
Calculate the remainder when (31850/(-8))/(-13) - 3/12 is divided by 62.
58
Let s(q) = -2*q**2 - 80*q + 102. What is the remainder when 176 is divided by s(-41)?
16
Let c(g) = g**3 + g. Let f be c(2). Let n = f + -1. What is the remainder when 53 is divided by n?
8
Suppose -280 = 9*d - 16*d. Calculate the remainder when 138 is divided by d.
18
Let v(q) = -2*q**3 - 6*q**2 - 4*q - 9. Suppose 5*k + 105 = 15. Let a = 38 + k. What is the remainder when v(-4) is divided by a?
19
Let f = -169 - -170. Calculate the remainder when 1 is divided by f.
0
Suppose 6*u + 4 = 2*u. Let j be 1 + -3 + u + 49. Suppose j = -0*h + h. What is the remainder when h is divided by 16?
14
Let x be (0 + 228)/(7/((-49)/(-7))). Let u = 245 - x. Suppose -2*i - 4*c = -86, 4*c + 208 = 7*i - 3*i. What is the remainder when i is divided by u?
15
Let h be (12/16)/(2/(-24)). Let c be 6/27 - 241/h. Let b = c - 8. What is the remainder when 37 is divided by b?
18
Let a(v) = v**3 + 60*v**2 - 5*v - 242. Calculate the remainder when 390 is divided by a(-60).
42
Let m be (-4)/(-6) + 176/6. Let i = 63 + -64. What is the remainder when 17 is divided by m/21*(8 + i)?
7
Let z(l) = l**2 - 19*l + 17. Suppose -5*y = -3*u - 0*y + 37, -4*y = -5*u + 66. What is the remainder when z(20) is divided by u?
9
Suppose 5*p - 3*c - 245 = -0*p, 0 = 2*p + 2*c - 82. Suppose -v = -5*i + 7*i - 17, 5*i - v = p. Calculate the remainder when -1 + 15 + (-2 - -3) is divided by i.
6
Let z(p) = -2*p**2 - 30*p - 58. What is the remainder when 48 is divided by z(-11)?
18
Let u(v) = -v**3 - 3*v**2 + v + 22. What is the remainder when 108 is divided by u(0)?
20
Let d(x) = -x**2 + 7*x - 2. Let j be d(5). Suppose -l - 4 = -w, 5*l + j = -2*w + 3*w. Let y = l - -4. What is the remainder when 4 is divided by y?
1
Let a = -696 - -755. Calculate the remainder when a is divided by 32.
27
Suppose 30*i - 1325 = 10135. What is the remainder when i is divided by 64?
62
Let g(p) = -p**3 + 9*p**2 + 5*p - 1. Suppose 3*r - 22 - 5 = -2*m, 0 = r + 3*m - 9. What is the remainder when g(r) is divided by 23?
21
Suppose -743*q + 746*q = 81. What is the remainder when 234 is divided by q?
18
Let h = -171 - -294. Let y = h + -93. Calculate the remainder when 96 is divided by y.
6
Let a = -112 + 54. Let q = a + 86. Let f = 8471 - 8461. Calculate the remainder when q is divided by f.
8
Let m(r) = r**2 - r. Let b be m(-3). Let h be 18/b + 2/4. Suppose -2*c - 32 = -h*l, 3*l - 3*c - 33 = -5*c. What is the remainder when l is divided by 6?
1
Suppose 28 - 945 = -7*f. Calculate the remainder when f is divided by 44.
43
Suppose -48*j + 51*j - 15 = 0, 5*g = j + 45. What is the remainder when 268 is divided by g?
8
What is the remainder when 112 is