 Calculate the remainder when 457 is divided by i.
15
Let t = -27 - -33. What is the remainder when 113 is divided by t?
5
Suppose 3*b = -0*b - p + 121, p + 125 = 3*b. Suppose b = 3*h - 13. What is the remainder when 30 is divided by h?
12
Let l(p) = -p + 26. Let x be l(-9). What is the remainder when 157 is divided by (-32)/(-3)*(-2 + x/7)?
29
Let a be 42/(-4)*(-8)/14. Let r be (-1)/(-2)*2 + 3. What is the remainder when 11 is divided by -2*(-3 + a/r)?
2
Let q = -90 - -95. Calculate the remainder when (-7)/(21/(-66)) - (-3 - -3) is divided by q.
2
Suppose 0 = 4*f - 49 + 189. Let c = 121 + f. What is the remainder when c is divided by (6/3)/((-2)/(-29))?
28
Let m(f) = -3*f. Let x be m(2). Let i = -1 + 33. Let r = i + x. Calculate the remainder when r is divided by 7.
5
Let v = 123 + -62. Suppose -2*q + 126 = 4*j + 38, q = 4*j + 56. Suppose 2*h - q = -h. Calculate the remainder when v is divided by h.
13
Let s(k) = 3*k**2 + 18*k - 3. What is the remainder when 1030 is divided by s(-8)?
40
Suppose 804 = 27*j - 6. What is the remainder when 170 is divided by j?
20
Suppose -3*z + 96 + 144 = 0. Let q = 121 - z. Let a = 148 + -134. What is the remainder when q is divided by a?
13
Let w(n) = -3*n + 4. Let q be w(-2). Suppose 5*g - s - 74 = 0, -2*g + 2 = 4*s - q. Let l = 1 - -39. What is the remainder when l is divided by g?
12
Let m(g) = -2*g**3 - 29*g**2 + 14*g + 6. Calculate the remainder when 61 is divided by m(-15).
19
Let r(q) = 166*q**2 + 7*q + 8. What is the remainder when r(-1) is divided by 14?
13
Let x = -27 - -31. Calculate the remainder when 2/(40/1365) - (-3)/x is divided by 18.
15
Suppose -3*l + 86 = -l. What is the remainder when 81 is divided by l?
38
Let m = -26 - -29. Suppose -z + 3*v + 11 = 0, -5*z - 7*v + m*v = 2. Calculate the remainder when (4 - 2) + 19 - z is divided by 5.
4
Suppose -o - 18 = 4*z, 10 = -5*o + 3*z - 11. Let m = 42 + -27. What is the remainder when m is divided by o/(-15) - 54/(-15)?
3
Let i = -1000 - -1024. Let m(d) = 24*d - 1. Calculate the remainder when m(6) is divided by i.
23
Suppose -56 = -2*x - 6. Let d = x - -2. What is the remainder when d is divided by 10?
7
Let a(b) = 17*b**2 + 2*b - 2. Let r = -6 - -7. Calculate the remainder when 27 is divided by a(r).
10
Calculate the remainder when ((-520)/32 + -8)*-4 is divided by 36.
25
Suppose -5*y + 2 = 4*a - 42, 0 = -5*a + 5. Suppose -h = -5*t - y, -2*t + 157 = 4*h + 3*t. Calculate the remainder when h is divided by 18.
15
Suppose 0 = -4*k - 3*c + 1258, 10*c = -5*k + 7*c + 1574. What is the remainder when k is divided by 11?
8
Let m = 275 - 160. Suppose -7*u = m - 507. What is the remainder when u is divided by 19?
18
Let o(j) = 6*j**2 - 4*j + 48. Calculate the remainder when o(5) is divided by 10.
8
What is the remainder when (3/(-9))/((-5)/1545) + 6 is divided by 26?
5
Suppose 302*u = 281*u + 2499. Calculate the remainder when u is divided by 49.
21
Let f(o) = -o**2 - 10*o + 8. What is the remainder when 572 is divided by f(-8)?
20
Suppose -45 = 138*h - 141*h. What is the remainder when h is divided by (-30)/(-6) + 0 + 0?
0
Suppose -3 = 5*y - 298. Suppose 4*j + 10 = -6, 5*p - 218 = 2*j. Suppose c = -21 + p. What is the remainder when y is divided by c?
17
Let b(a) = -1309*a**3 - 3*a**2 - a + 1. Let l be b(-1). Calculate the remainder when l/16 + 3/(-4) is divided by 41.
40
Suppose w + w + 137 = o, -2*o + 5*w + 279 = 0. Suppose -6*v = l - 2*v - o, -v + 508 = 4*l. Let a = l + -66. Calculate the remainder when a is divided by 16.
13
Suppose 4*j - 5 = -1. Let y(t) = t + j + 1 - 5 - 10*t. What is the remainder when y(-2) is divided by 4?
3
Suppose o - 6*o - 4*f + 39 = 0, 4*o - 5*f - 64 = 0. Calculate the remainder when 11 is divided by o.
0
Suppose -2*q = -4*q + 14. Let z be (-2 + 2)/(0 + -2). Suppose z*n = -2*n + 64. What is the remainder when n is divided by q?
4
Calculate the remainder when -1*((-24)/(-6) - 135) is divided by 6.
5
Let c(j) = 2*j**3 - 14*j**2 - 19*j + 6. What is the remainder when c(9) is divided by 17?
6
Let c(g) = g**2 - 3*g - 23. Suppose -r + 31 = a, -a = -3*r + 133 - 28. Calculate the remainder when c(11) is divided by r.
31
Suppose 4*t - 8 = 2*q + 2*q, -4*q + 16 = 0. Let k be 1/5 + (-58)/(-10). Calculate the remainder when 2/k + (-44)/(-3) is divided by t.
3
Suppose 118 + 672 = 5*b. Suppose -9*y + 322 = -5*y - 5*a, 2*y = a + b. What is the remainder when y is divided by 27?
24
Let u(l) = -6*l**3 - 5*l**2 - 7*l. Let z be u(-3). Suppose -n - 4 = -3*n. Suppose z = n*k + k. Calculate the remainder when k is divided by 12.
10
Let g(y) = y**3 - 10*y**2 + 10*y - 7. Let c be g(9). Suppose 0 = 7*l - c*l - 170. Let p(n) = -n**2 + 8*n - 3. What is the remainder when l is divided by p(5)?
10
Suppose 6 = -3*f, -2*m + 2*f - 3*f + 40 = 0. Calculate the remainder when m is divided by (-3)/(-12)*-2*(1 + -13).
3
Suppose -c + g + 65 = c, -5*c + 164 = -3*g. Let q = -1320 - -1337. What is the remainder when c is divided by q?
14
Let n = 125 + -119. What is the remainder when 51 is divided by n?
3
Let v be 3/(-4) + (-15)/(-20). Let x be (5 + v)*18/10. Suppose x*k + 16 = 13*k. What is the remainder when 15 is divided by k?
3
Let r(k) = -2*k**2 - 23*k + 13. Let z(x) = x**2 + 11*x - 6. Let m(u) = -3*r(u) - 7*z(u). Let b = 27 - 33. Calculate the remainder when 43 is divided by m(b).
13
Let u(t) = -5*t - 7. What is the remainder when 30 is divided by u(-5)?
12
Let p(u) = -3*u + 116. What is the remainder when p(13) is divided by 31?
15
Suppose -9*q + 58 + 131 = 0. What is the remainder when q is divided by 7?
0
Suppose 5*p - 212 + 72 = 0. Let d = 1579 + -1573. What is the remainder when p is divided by d?
4
Suppose -5*o + 5*m - 12 = -2, 5*o = 2*m - 22. Let a(s) = -s**3 - 6*s**2 - 4*s - 10. Calculate the remainder when 39 is divided by a(o).
11
Let t = -886 + 888. Let f = 26 + -21. What is the remainder when f is divided by t?
1
Let r = 89 + -87. Suppose r*a - 2*j = 64, -j - 4*j + 71 = 2*a. Calculate the remainder when 129 is divided by a.
30
Let y(a) = a**3 + 2*a**2 - 8*a - 7. Let u be y(7). Suppose -15*i = -24*i + u. Calculate the remainder when i is divided by 15.
12
Let d = -154 + 232. Let v = -8 + 17. Suppose 3*f = v + 72. Calculate the remainder when d is divided by f.
24
Suppose 0 = t + 2*g - 14, -5*g = 4*t - 60 - 2. Calculate the remainder when 393 is divided by t.
15
Let s(a) = -21*a**3 + a**2 + a + 2. What is the remainder when (-6)/(-6) + -2 - -92 is divided by s(-1)?
22
Let l(w) = -10*w. Let a(m) = -2*m. Let p(k) = 14*a(k) - 3*l(k). Let u be p(-2). What is the remainder when 32 is divided by (-34)/(-3)*(-6)/u?
15
Let i(n) = 6*n**3 + n**2 + 3*n. Suppose -10*d = -3*d - 14. Calculate the remainder when i(d) is divided by 31.
27
Let r be (-1 - 3)*(-9)/(-6). Let d(x) = -4*x - 7. Let t be d(r). Let a(y) = y**3 - 16*y**2 - 17*y + 21. Calculate the remainder when 62 is divided by a(t).
20
Let m(v) be the third derivative of v**4/24 - 17*v**3/3 - 5*v**2. Let r be m(0). Let c = r + 127. What is the remainder when c is divided by 24?
21
Let j = 106 + -62. What is the remainder when 127 is divided by j?
39
Suppose -d = 4*d + 150. Let b be (15/d)/((-1)/(-22)). Let h(y) = -y**3 - 11*y**2 - 3*y + 4. Calculate the remainder when h(b) is divided by 10.
7
Suppose -5*d = -4*z - 2*d + 21, -4*d = -4*z + 20. What is the remainder when z is divided by 5?
1
Suppose 0 = 17*i + 79 - 317. What is the remainder when 528 is divided by i?
10
Let a = 47 - 44. Suppose q + c = 34 + 9, 5*q = -a*c + 211. What is the remainder when 79 is divided by q?
38
Suppose c = -h + 353, -4*h - 1781 = -5*c - 5*h. What is the remainder when c is divided by 24?
21
Suppose 3*x = 2 + 7. Let s be 70/(-49) - x/(-7). What is the remainder when 4 is divided by 1 - -3 - (s + 4)?
0
Let t(v) = -v**3 - 4*v**2 + 14*v + 12. What is the remainder when 180 is divided by t(-7)?
58
Let n be (-2)/8 - (-20)/16. Let s(d) = d**3 + d + 7. What is the remainder when (13/(-1))/(0 - n) is divided by s(0)?
6
Let g(d) = -d**3 - 2*d**2 + 6*d + 23. Let h = -3 - -9. What is the remainder when g(0) is divided by h?
5
Let j(z) = -17*z + 45. Let s be j(2). Suppose -4*p + 100 = p. Let l = p - s. What is the remainder when 25 is divided by l?
7
Suppose 5 = 5*g - 15. Suppose 0 = -j - g*t - 105, 0 = -4*j - 4*t + 2*t - 490. Let w = -5