 i.
4
Let p = 63 - 115. Let c = p + 86. Calculate the remainder when c is divided by 18.
16
Let u(c) = -5*c**3 - 2*c**2 - 3*c - 2. Let o be u(-2). Suppose 3*x + 40 = 4*b, -3*b + 2*x + o = b. Calculate the remainder when 12 is divided by b.
5
Suppose -f - 6*f + 147 = 0. What is the remainder when f is divided by 6?
3
Suppose h - 3*h + 16 = 4*s, 5*s - 4*h - 33 = 0. What is the remainder when 7 + 1 - (0 + -1) is divided by s?
4
What is the remainder when 4/(40/955) + 6/(-4) is divided by 8?
6
Let r = -4 + 3. Let x = 8 + r. Suppose -3*u + 12 = 5*h, h - 4*u - 8 = u. Calculate the remainder when x is divided by h.
1
Suppose g = 1 + 11. Let o(y) = -16*y**3 - 2*y**2 - 2*y - 1. Let s be o(-1). Suppose m - 38 = -s. What is the remainder when m is divided by g?
11
Calculate the remainder when 4/(-6) - 294/(-63) is divided by 4.
0
Suppose 2*m = -2*v - 244, 0 = -3*v + 6*v + m + 372. Calculate the remainder when 37 is divided by ((-4)/(-5))/((-10)/v).
7
Let b = 10 - 3. Let j = b - -3. Calculate the remainder when j is divided by 6.
4
Let c(t) = -t**3 - 7*t**2 - 3*t - 9. What is the remainder when c(-7) is divided by 7?
5
Suppose -10 = 2*b - 8. Let w = 40 - b. Suppose -4*c + 99 = -5*a, 0*a = c + 4*a - 9. What is the remainder when w is divided by c?
20
Let m(u) = u**3 - 5*u**2 + 3*u + 4. Let n be m(8). Suppose 2*z - n = -3*z. What is the remainder when z is divided by 23?
21
Suppose -4*y = -0*y - 32. Suppose 10*k - 5*k = 260. Let r = k - 21. Calculate the remainder when r is divided by y.
7
Let b be ((-44)/(-6))/(2/24). Suppose 0 = -4*k - 0*k + 4*f + b, 5*k - 131 = -2*f. What is the remainder when 72 is divided by k?
22
Suppose 19*n - 15*n = 124. Calculate the remainder when n is divided by (-2)/(-2) + 15 + 0.
15
Suppose 4*v - 150 = x, -3*x + 27 = v + 2*x. Let r = -19 + v. Calculate the remainder when r is divided by 10.
8
Let r(g) be the second derivative of g**3 - 3*g. Suppose 4*m + m = 10. What is the remainder when 35 is divided by r(m)?
11
Let t(v) = -11*v + 2. Calculate the remainder when t(-3) is divided by (3/(-6))/((-2)/48).
11
Suppose 5*a = -3*v + 59, 4*a - v - 40 - 14 = 0. Calculate the remainder when a is divided by 5.
3
Let f = -43 - -48. What is the remainder when 7 is divided by f?
2
Suppose -191*q + 102 = -190*q. Calculate the remainder when q is divided by 54.
48
Let k(b) = b - 7. Let n be k(13). Calculate the remainder when (10/n)/((-7)/(-84)) is divided by 11.
9
Let f = 7 + -3. Suppose -3*u + 24 = 3. Calculate the remainder when f/(-6) - 83/(-3) is divided by u.
6
Let o = 2 + -2. Let r = 2 - o. What is the remainder when 2 is divided by r?
0
Let j = 6 + -2. Suppose 0*f - 27 = -3*f + j*p, -5*f - 2*p = -45. Calculate the remainder when 16 is divided by f.
7
Let z(n) = n**2 - 5. What is the remainder when ((-86)/(-3))/(20/30) is divided by z(-4)?
10
Suppose 80 = 4*p - 4*w, -2*w = 2*p + w - 30. Calculate the remainder when 69 is divided by p.
15
Let p be (-3 + -11)*3 + -3. Calculate the remainder when 11 is divided by (-102)/(-27) + (-10)/p.
3
Suppose -2*j + 3 = -5. Suppose -5*q + 3*q + j = 0. Let x(g) = 2*g**2 - 2*g - 2. Calculate the remainder when x(2) is divided by q.
0
Suppose 0 = -5*i - 5*u - 220, 275 = -5*i - u + 51. Calculate the remainder when 58 is divided by (6/(-1))/(18/i).
13
Suppose -45*m + 44*m = -15. Let b = -4 + 10. What is the remainder when m is divided by b?
3
Suppose 5*h - 13 = 22. Suppose 4*a + 4*t - 15 = 17, -a + 3*t + 28 = 0. What is the remainder when a is divided by h?
6
Suppose b + 2*i = -b + 12, 4*b + i = 21. What is the remainder when b is divided by (4/(-6))/((-8)/36)?
2
Let w(t) = -t**3 + 5*t**2 - 2. Suppose -3*q - 12 = 0, 5*u + 3*q = -q + 114. What is the remainder when u is divided by w(4)?
12
Suppose 49 = 3*d + 1. Let f = 27 - -20. What is the remainder when f is divided by d?
15
Let o = 102 - 47. Suppose 4*d - o - 177 = 0. Calculate the remainder when d is divided by 20.
18
Let r = -14 - -26. Let p(s) = 36*s**3 - 2*s**2 + s. What is the remainder when p(1) is divided by r?
11
Let a = 7 - 7. Suppose -4*u + 5*f - 2 - 7 = a, -5*u - 5*f = -45. Calculate the remainder when 74/u*(1 + 1) is divided by 13.
11
What is the remainder when -14*(-4)/(-16)*-6 is divided by 11?
10
Let n(w) = -w + 8. Calculate the remainder when n(5) is divided by 1.
0
Let z = 63 - 46. Let j(p) = -3*p - 9. What is the remainder when z is divided by j(-6)?
8
Let f = 12 - 11. Suppose 2*b + f - 27 = 0. Calculate the remainder when b is divided by 8.
5
Suppose -z + 2*r + 5 = 0, 3*z = -z + 3*r + 40. What is the remainder when 25 is divided by z?
12
Suppose 0 = -z - 5*p - 3, p - 11 = -z + 2. Suppose -z = -2*x - 5. Suppose 36 = x*a - 2*a. What is the remainder when 26 is divided by a?
8
Let i(v) = v**2 - 5*v + 2. Suppose 0 = -5*q - t - 3*t - 75, 3*t - 34 = q. Let k = -5 - q. What is the remainder when k is divided by i(6)?
6
Let w(z) = z**3 + 11*z**2 - 12*z + 8. Let b be w(-12). Let k(s) = s + 6. Calculate the remainder when k(b) is divided by 6.
2
Suppose 2*g + 8 = 82. What is the remainder when 145 is divided by g?
34
Let x(r) = r**3 + 7*r**2 - 8*r + 1. Let d be x(-8). Suppose -3 - d = -4*q. Calculate the remainder when q is divided by 2/(-3)*(-21)/14.
0
Let u be (-9)/3*3/(-9). Let t be 2*(4/2 - u). Suppose 0 = 4*i + t*r - 30, -18 = -4*i + 3*r + 27. What is the remainder when 25 is divided by i?
7
Suppose 6*m = m + 15. Calculate the remainder when 10 is divided by ((-36)/6)/(m/(-2)).
2
Let k be (-230)/(-8) + (-2)/(-8). Let i = k + -16. Suppose -20 = -3*n + i. What is the remainder when 32 is divided by n?
10
Let m = -92 - -134. What is the remainder when m is divided by ((-11)/(-4))/(5/20)?
9
Let f be (-10 + (-4)/(-2))/(-2). What is the remainder when f/24 - 142/(-12) is divided by 7?
5
Suppose q - 45 = -3*k - 4, 0 = -k + 3*q - 3. What is the remainder when 18 is divided by k?
6
Let f(z) be the third derivative of z**6/120 + 3*z**5/20 + z**4/4 - 7*z**3/6 + 5*z**2. What is the remainder when 16 is divided by f(-8)?
7
Suppose -4*f + 399 = -181. Suppose 5*p = 2*h - 0*h - f, 80 = h + 5*p. What is the remainder when h is divided by 26?
23
Let q(s) = -s**2 + 124. Let d = 3 - 3. Let n be q(d). Let u = -62 + n. Calculate the remainder when u is divided by 21.
20
Let y(i) = -5*i - 1. Let p be y(1). Suppose -2*z - 16 = -k + 3*z, -k - 2*z + 2 = 0. Calculate the remainder when (-52)/p*9/k is divided by 5.
3
Let q = -4 - -1. Calculate the remainder when 2*14 + 1 + q is divided by 7.
5
Let z(w) = 5*w**3 - 3*w**2 + 2*w - 6. Let t be z(3). Suppose 0*y = 4*c - 2*y - 104, -5*c = 3*y - t. What is the remainder when c is divided by 7?
3
Let u = 46 - 29. Let s = 26 - u. Calculate the remainder when 16 is divided by s.
7
Suppose x + 184 = 5*x. What is the remainder when x is divided by 3/12 + 126/8?
14
Suppose 19 = a - 20. Calculate the remainder when 116 is divided by a.
38
Suppose -47 = -3*l - 5*w, 4*l + 0*l = 4*w + 52. What is the remainder when l is divided by 8?
6
Let f(a) be the second derivative of 0 - 1/20*a**5 + 2/3*a**3 + 0*a**4 - 4*a + 0*a**2. What is the remainder when 57 is divided by f(-3)?
12
Suppose 3*c + 31 = -4*d, d - 1 = -0*c + c. Let p = 1 - d. Suppose -5*b + 2*g + 52 = 0, 3*b - b - p*g - 4 = 0. Calculate the remainder when 35 is divided by b.
11
Let p(u) = -u**3 + 9*u**2 - 9*u + 12. Calculate the remainder when 13 is divided by p(8).
1
Let d(g) = 19*g - 10. Calculate the remainder when d(2) is divided by 11.
6
Suppose 5*w + t = 112, -2*w - 3*t = -4*w + 38. Let u = 35 - -52. What is the remainder when u is divided by w?
21
Let k(r) = 2*r**2 + 8*r - 5 - r**3 + 0*r**3 + 2*r**2. What is the remainder when 29 is divided by k(5)?
9
Suppose 5*w + 2 = 6*w. Calculate the remainder when 58 is divided by ((-1)/w)/((-7)/210).
13
Suppose 0 = -4*j - g + 33, -2*g = 2*j + j - 21. What is the remainder when (31/2)/(3/6) is divided by j - (-1 + 0 + -1)?
9
Let h = -4 + 8. What is the remainder when ((-3)/12 + 0)*-44 is divided by h?
3
Suppose 0 = -2*w + 19 + 9. Let r be (2/4)/((-1)/(-36)). Let x = r + -10. What is the remainder when w is divided by x?
6
Let h = -57 + 168. Suppose -h = -5*d - 41. Calculate the remainder when 39 is divided by d.
11
Let x = 49 + -29. What is the remainder when 39 is divided by x?
19
Suppose -2*n = 81 + 117. Let v = n + 163. What i