/5. Let d = 67 - x. Calculate the remainder when d is divided by 14.
13
Suppose -5*r - 2*s + 7*s = -70, -70 = -5*r - 4*s. What is the remainder when 50 is divided by r?
8
Let t = 226 + -65. Calculate the remainder when t is divided by 21.
14
Suppose -5*i = 3*a - 29, -13 = 2*i - 5*i - 4*a. Let p = -1855 + 1857. Calculate the remainder when i is divided by p.
1
Let f(h) = -4*h + 63. Let g be f(0). Let m = g + -36. Calculate the remainder when m is divided by 15.
12
Let w be 1*((-70)/21)/(2/(-3)). Suppose -2*p + w*i + 18 = 0, 5*p - i - 28 = 3*i. Calculate the remainder when 19 is divided by p.
3
Suppose 3 + 105 = 4*j. Let m(x) = 4 + x**3 + 11*x + 9*x**2 - 2*x - 4*x. Calculate the remainder when m(-5) is divided by j.
25
Let m = 1458 + -1421. Calculate the remainder when 368 is divided by m.
35
Suppose 0 = 4*x - t + 1, -3*t = -3. Suppose x = 5*p + 25 - 0. Let m(f) = -f**3 - 6*f**2 - 8*f - 7. Calculate the remainder when 13 is divided by m(p).
5
Let f be 4/(-18) - (-129)/(-27). Let q(t) = -t**3 - 6*t**2 - 7*t - 1. Calculate the remainder when q(f) is divided by 7.
2
Let g(s) = 8*s**2 + 2*s - 2. Suppose 2800 = 27*b - 13*b. What is the remainder when b is divided by g(2)?
30
Let k(v) = -2*v + 9. Let z be k(-3). Suppose 0*g = 3*g. Suppose 4*o + 2*m = m + 41, -3*m + z = g. Calculate the remainder when o is divided by 4.
1
Let o(t) = t**3 + 11*t**2 - 15*t - 5. Let y(r) = 5*r**3 + 44*r**2 - 60*r - 19. Let i(d) = 9*o(d) - 2*y(d). What is the remainder when 77 is divided by i(9)?
17
Let k be (-34)/4 - (-4)/(-8). Let u(p) = -p**3 - 10*p**2 - 12*p + 2. Calculate the remainder when u(k) is divided by 15.
14
What is the remainder when 226 is divided by -14 + (-884)/(-28) - 6/(-14)?
10
Let j(p) = 3*p**2 + 5*p + 4. What is the remainder when j(-8) is divided by (10 + (-46)/3)*-6?
28
Let g = 234 + 244. Calculate the remainder when g is divided by 8.
6
Suppose -13 = 5*n - 58. Suppose -40*v + 2*z + 6 = -38*v, 0 = 3*v - 2*z - 11. Calculate the remainder when n is divided by v.
4
Let i be (-1)/(-4 - (-1065)/267). Let u = i + -48. Let f = 68 - u. What is the remainder when 78 is divided by f?
24
Let o be -3*(-4 - (-22)/3). Let y(m) = m**2 + 6*m - 22. Suppose -r - 99 = -4*r + 3*j, 0 = -4*r - 2*j + 138. What is the remainder when r is divided by y(o)?
16
Let a = -1686 - -1691. Calculate the remainder when 34 is divided by a.
4
Let j = 880 - 849. Let k = 82 - -278. Suppose b - k = -3*b. What is the remainder when b is divided by j?
28
Suppose 14 = 2*u - 4*y, u + 1 - 4 = 3*y. Let w(g) = -2*g**2 + 45*g + 1044. Calculate the remainder when w(36) is divided by u.
12
Let n(z) = z**3 + 10*z**2 - 11*z + 4. Let m be n(-11). Suppose -m*x + 27 = -3*x. What is the remainder when x is divided by (-292)/(-20) + (-6)/10?
13
Suppose 5*c - 304 = -2*i + 3*i, 303 = 5*c - 2*i. Let w = 108 - c. What is the remainder when w is divided by 25?
22
Suppose -14 - 45 = -w + 2*y, -4*y - 16 = 0. Let a = -45 + w. What is the remainder when 27 is divided by a?
3
Suppose -5*r + 9*r + 52 = 0. Let p be 35 + 0 + r + 13. Suppose -2*y - 1 = -4*s - 37, 2*y - p = 5*s. Calculate the remainder when 78 is divided by y.
18
Let p(s) = s + 59. Calculate the remainder when p(0) is divided by 89/6 - (-1)/6.
14
Let c(f) = f**3 + 4*f - 6. Let y be c(4). Suppose 3*p - 4*n = 189 + 19, p + n = y. Let j = -23 - -42. What is the remainder when p is divided by j?
15
Suppose 214 = 9*f + 79. Calculate the remainder when 134 is divided by f.
14
Let t(v) = -v**3 - 11*v**2 + 2*v + 26. Let r be t(-11). Suppose r*m - 5*a - 81 = 0, a + 45 = 5*m + 6*a. What is the remainder when 52 is divided by m?
10
Let f = -32 + 47. Suppose -18 = -3*q + f. Suppose -4*m = -0*m - 128. What is the remainder when m is divided by q?
10
Suppose -2*t - 2*b + 90 = -0*b, -t + 25 = -4*b. What is the remainder when 416 is divided by t?
6
Suppose -5*s - 3*p - 825 = 0, 0 = 2*s - 4*s - 2*p - 334. Calculate the remainder when 1/3*(-3 - s) is divided by 1 + -1 + 17 + 1.
17
Suppose -4*i + 13*i - 351 = 0. Calculate the remainder when 97 is divided by i.
19
Suppose 3*l - 3*b = 57, 0 = -3*l + 5*b - 4*b + 53. Let w be 1127/46*-1*2. Let k = -40 - w. What is the remainder when l is divided by k?
8
Let k be 72/90 - 148/10. Let v(b) = 2*b + 47. What is the remainder when 51 is divided by v(k)?
13
Let o = 10 + 75. What is the remainder when o is divided by 1*26 - ((-1763)/43 + 52)?
10
Let y = 92 + -81. Suppose 6*x - 7*x = -y. Calculate the remainder when 53 is divided by x.
9
Let r(c) = 4*c**2 - 50*c - 30. Let d be r(21). Suppose 0 = 7*v + 5*v - d. Calculate the remainder when v is divided by 10.
7
Let h be ((-6)/(-9))/((-4)/66). Calculate the remainder when 53 is divided by h/22 - 17/(-2).
5
Let z(w) = 15*w + 259. Calculate the remainder when z(-9) is divided by 15.
4
Suppose -4*s - 19 = -2*o - 3*s, 5*o - 50 = 3*s. What is the remainder when 124 is divided by o?
5
Let m(b) be the third derivative of -b**4/24 + 5*b**3/3 - 30*b**2. Let i = 10 - 2. What is the remainder when 7 is divided by m(i)?
1
Let x(y) = -y**3 - 24*y**2 + 12*y - 1. Calculate the remainder when x(-25) is divided by 79.
8
Calculate the remainder when 261 is divided by ((-15)/(-6))/((-25)/(-440)).
41
Suppose -23*c + 27*c + f = 65, 5*c - 5*f - 100 = 0. Calculate the remainder when 1/(2 + (-122)/62) is divided by c.
14
Let x = -394 + 399. Calculate the remainder when 7 is divided by x.
2
Suppose -89 = -4*h + 3. Let k = 33 - h. What is the remainder when k is divided by 4?
2
Suppose -5*a + 19 = -3*p, 0 = -0*a - 4*a - 16. Let s = p - -29. Let l = -19 - -28. What is the remainder when s is divided by l?
7
Let v be ((-3)/(-9))/(4/36). Suppose -8 = -3*s - 23, -m - v*s - 15 = 0. Suppose 4*n = 4*p + 140, -4*p = -12 - m. What is the remainder when n is divided by 10?
8
Let m be (10/(-3) + 3)*-9. Suppose -o = m*o - 60. Calculate the remainder when o is divided by (-2)/14 + (-145)/(-35).
3
Suppose 0 = 2*w - 5*i - 60, -2*w - 48 = -4*w - i. Let j = w + -4. Calculate the remainder when j is divided by (-1)/(((-18)/432)/(1*(-2)/(-6))).
5
Suppose -w + 22*u = 19*u - 15, -38 = -3*w + 2*u. What is the remainder when 38/(2/3 + 0) is divided by w?
9
What is the remainder when 11 is divided by 6/(-18) - (-10)/3?
2
Let b(j) = j**3 - 19*j**2 - 21*j + 24. Let i be b(20). Let m be (-8)/(-6)*6/4. Let c = i - m. What is the remainder when c is divided by 1?
0
What is the remainder when 273 is divided by 57/(-30) + 2 + 5049/110?
43
Let o = 146 - 25. Let w(a) = a**3 - 7*a**2 - 2*a - 7. Calculate the remainder when o is divided by w(8).
39
Let b(y) = y**2 - 23*y + 77. Let v be b(20). Suppose 0 = -0*p - 3*p + 24. Suppose z = v + p. What is the remainder when z is divided by 14?
11
Suppose 3*n - 273 = -3. Let y = -6 - -13. Suppose -b = -y*b + n. Calculate the remainder when 59 is divided by b.
14
Suppose -28*x - r = -29*x + 27, 0 = 4*x - 2*r - 104. What is the remainder when x is divided by (2/(-2) + 3)*2?
1
Suppose 0*s = d + 5*s - 820, -4*s - 12 = 0. Calculate the remainder when d is divided by 31.
29
Suppose 8*p = 7*p + m + 3, 4*p - 26 = -3*m. Calculate the remainder when 15 is divided by p.
0
Let z = -42 - -45. What is the remainder when 1*((-26)/(-2) + z) is divided by 6?
4
Let v(k) = -55*k + 443. What is the remainder when 10 is divided by v(8)?
1
Let j = 831 + -803. Calculate the remainder when 159 is divided by j.
19
Suppose 0 = s - 3*q + 31, q = -s - 4*q - 15. Let z = 15 - s. Let v = -20 + z. What is the remainder when 77 is divided by v?
17
Let b(c) = 5 - 2 + 4*c - 3*c**3 + 2. Calculate the remainder when b(-2) is divided by (7 - (-4)/2) + -1.
5
Suppose 347*j - 325*j - 2728 = 0. Calculate the remainder when j is divided by 28.
12
Let x(z) = 6*z**2 - 2*z + 3. Let r(w) = w**2 - 7*w + 12. Let l be r(5). Suppose l*p + 3*p = 10. What is the remainder when x(p) is divided by 8?
7
Suppose 0 = -q - 3*d - 4, -29 = -q + 5*d - 9. Let p(s) = -s**2 + 5*s + 8. Calculate the remainder when p(6) is divided by (4/q)/(4/10).
0
Suppose 3*r - 8 = r. Suppose 0 = c - 5*c - 2*x + 22, 5*c + r*x = 32. Calculate the remainder when c is divided by (1 + (-6)/(-2))*(-156)/(-312).
0
Let b be (-16)/64 - ((-927)/4)/3. Let m = b + -40. Calculate the remainder when 73 is divided by m.
36
Let g = -28 + 74. Let x = -1732 + 1750. What is the remainder when g is 