the remainder when 3382 is divided by c(74).
70
Let b be ((-30)/25)/((-6)/(-1360)). Let z = -99 - b. Let t = z + -58. Calculate the remainder when t is divided by 15.
10
Let z be 7/2 - (-27)/(-54). Suppose -5*c = 5*g - 650, 0 = -2*c - 0*g + 2*g + 248. Suppose -101 = -z*o + c. What is the remainder when o is divided by 27?
22
Let g = 7 - 0. Let k(a) = a**3 - 5*a**2 - 6*a - 6. Let s be k(6). What is the remainder when (-7 - s)*39/6*-2 is divided by g?
6
Let u be (-64)/(-40)*10/4. Suppose -2*v - v = -5*i + 930, 0 = u*i - 4*v - 752. Calculate the remainder when i is divided by 27.
21
Let n = 3699 - 3670. What is the remainder when 937 is divided by n?
9
Suppose -105696 = -284*b + 11312. What is the remainder when b is divided by 13?
9
Let j = 32 + -34. Let a(q) = q**3 + 12*q**2 - 13*q - 79. Calculate the remainder when a(-12) is divided by 2 + j + 3 - -14.
9
Let o = -818 - -853. Suppose -2*w - 17 = -5*i + 62, 3*w + 76 = 5*i. Suppose -3*u - m = -198, -i + 81 = u + m. Calculate the remainder when u is divided by o.
32
Let m = 15686 + -15674. Let i(b) = 47*b**2 + b + 1. Calculate the remainder when i(-1) is divided by m.
11
Let k(p) = 112*p + 11465. Calculate the remainder when k(-94) is divided by 188.
185
Suppose -5*s + 4*w + 224 = 0, 4*w + 78 = -5*s + 334. Let n = 103 - -78. What is the remainder when n is divided by s?
37
Let g = 3528 - 3424. Calculate the remainder when 321 is divided by g.
9
Suppose w + 2*s = -6, -s - 4 = -w + 2*w. What is the remainder when 1826/198 - w/(-9) is divided by 8?
1
Let s(t) = -t**3 + 81*t**2 + 396*t + 3. What is the remainder when 185 is divided by s(-5)?
12
Let m = 67 - 22. Let j(c) = -c**3 + 16*c**2 - 14*c + 8. Let g be j(15). Let y = m + g. What is the remainder when y is divided by 10?
8
Let f be -4 - 1/3*(1 + -28). Suppose -289 = -2*p + 3*c, 0*c - c - 755 = -f*p. What is the remainder when p is divided by 39?
35
Suppose 5*t - 97 = -2*c, -2*c - 12 + 103 = -t. Calculate the remainder when 110 is divided by c.
18
Calculate the remainder when 10790 is divided by (344/28)/((-284)/(-994)).
40
What is the remainder when (349 - 325)*(198/8 + 3 + -1) is divided by 57?
15
Let r(b) = b**3 + 8*b**2 + 23*b - 6. Let j be r(-7). Let q = -109 - j. Let h(n) = 3*n**2 - 3*n - 4. What is the remainder when h(4) is divided by q?
5
Let l(c) = -c**3 - 5*c**2 + 23*c. Suppose 0 = 3*d + g - 100, 4*d - 4*g - 161 = -d. Let f = d + -18. Calculate the remainder when f is divided by l(-8).
7
Suppose 16 = -2*t + n, -8*t - 4 = -6*t + 5*n. Let m(s) = s**3 - 2*s**2 + 4*s - 4. Calculate the remainder when ((-469)/49)/(1/t) is divided by m(3).
16
Let c(v) = 5*v**2 + 40*v + 198. Calculate the remainder when c(-8) is divided by 23.
14
Suppose 1556*v + 270 = 1559*v. Suppose m + a = 211, v*m - 4*a = 89*m + 226. Let g(j) = j**2 + j. Calculate the remainder when m is divided by g(3).
10
Suppose -11*f + 321 = -960 - 501. Let y = -11 - -52. What is the remainder when f is divided by y?
39
Suppose 14*h - 18*h = -60*h + 157808. Calculate the remainder when h is divided by 555.
43
Let l = -2747 - -2755. Let f(z) be the third derivative of -z**5/60 - 7*z**4/12 - 11*z**3/6 + 2*z**2. What is the remainder when f(-10) is divided by l?
5
Suppose -13*n + 18*n + 5 = 0. Let u(z) = 23*z**2 + 2*z + 2. Calculate the remainder when 55 is divided by u(n).
9
Suppose r + 22 = 65. Let z = 70 + -39. What is the remainder when z is divided by ((-10 + r)/(3/2))/2?
9
Let w be (-29)/58 + (-155)/(-2). Let z = 268 - w. Suppose -3*u + 144 = -0*u. Calculate the remainder when z is divided by u.
47
Suppose r - 2*c = 306 - 273, 5*r = -4*c + 109. What is the remainder when 748 is divided by r?
23
Suppose 32*a - 2369 = -4*q + 35*a, 2*q + 4*a - 1168 = 0. What is the remainder when 1782 is divided by q?
12
Suppose 4*g - 102 = -2*y, -9*g - 3*y + 99 = -5*g. Suppose 122 = a + 4*b, -6 = -3*b + 6. Calculate the remainder when a is divided by g.
25
Let n = -262 + 416. Suppose -5*m = -p - 148, -5*p - 48 = -5*m + 72. Calculate the remainder when n is divided by m.
30
Let b = 944 - 640. Suppose -b = -3*m - 5*p, -3*m + 110 + 192 = 4*p. Calculate the remainder when m is divided by 26.
20
Let q be (-7944)/(-144) - 2/12. Let g = q + 52. Calculate the remainder when g is divided by 9.
8
Let c be 0 + (-1 - 1) + 0. Suppose -73*t - 13*t + 2106 = 31*t. Calculate the remainder when c + (-2 - -1 - -56) is divided by t.
17
Let h(c) = -5*c + 130. Let m be h(-19). Suppose k = -8*k + m. Calculate the remainder when 422 is divided by k.
22
Calculate the remainder when 6/(-33) + (-963684)/(-1188) is divided by 68.
63
Let y = -414 - -450. Let o(t) = -4*t - 53 + 33 + 13*t. What is the remainder when o(10) is divided by y?
34
Suppose -19*s = -4*t - 18*s + 997, -5*t + 5*s + 1265 = 0. Calculate the remainder when t is divided by 21.
17
Let k(s) = s**2 - 888*s + 7093. What is the remainder when 4663 is divided by k(8)?
52
Suppose 16*q + 21*q - 5*q = 21920. What is the remainder when q is divided by 179?
148
Let n(v) = -v**3 + 5*v**2 + 19*v - 15. Let j be (4 - 13)*(-2)/3. Calculate the remainder when n(j) is divided by 22.
19
Suppose 4*o = -j + 15, -3*o - j = -0*o - 12. Suppose -3*w + o*c = c + 64, -5*c = 2*w + 49. Let k = w - -35. What is the remainder when 38 is divided by k?
12
Let g = -1978 - -2001. Let v(d) = -d**3 + d**2 + 163. Let p be v(0). Let s = 241 - p. Calculate the remainder when s is divided by g.
9
Let f(b) = b**3 + 35*b**2 + 185*b + 289. Calculate the remainder when f(-28) is divided by 24.
21
Suppose -6750*j = -6723*j - 10152. Calculate the remainder when j is divided by 29.
28
Suppose 22*s + 1204 = 18*s. Let k be (-5)/(15/(-2)) + s/(-21). Let x(d) = -d + 20. What is the remainder when 38 is divided by x(k)?
3
Suppose -102 - 15 = -5*j - 4*t, 0 = -9*j + t + 145. What is the remainder when 10775 is divided by j?
14
Suppose 444 = 2*r + b, -3*r + 652 = 30*b - 32*b. Calculate the remainder when 637 is divided by r.
197
Suppose -b + 4*t = -3, 4*t - 2*t = b - 9. Suppose -7*k + 50 = b. Let v(a) = -a**2 + 2*a + 20. What is the remainder when v(k) is divided by 4?
1
Suppose 56*v + 4*w = 60*v - 1180, 0 = -v - 4*w + 280. Suppose -5*b + 5*d + 57 + 48 = 0, -2*b + 4*d + 42 = 0. What is the remainder when v is divided by b?
19
Let i(f) = -23*f + 557. Let z = 121 - 86. Calculate the remainder when i(19) is divided by z.
15
Let n(l) be the third derivative of 11*l**5/15 + l**4/8 - l**3/3 - 30*l**2 + l. Calculate the remainder when n(1) is divided by 12.
9
Let f(z) = 2*z - 1. Let q = 22 + -32. Let b = -3 - q. What is the remainder when b is divided by f(2)?
1
Suppose -o + 43*l + 9 = 38*l, 2*o - l = 54. What is the remainder when 888 is divided by o?
18
Let o be (-9)/15 + 626/10. Calculate the remainder when -4 - (-15)/6*o is divided by 1 + 50 + 0 + -5 + 5.
49
Let w = -73 + 63. Let a be 2/(4/150)*w/15. Let v = -39 - a. Calculate the remainder when 20 is divided by v.
9
Suppose 25 = -2*c + 5*f, 12 = c + 2*f - 7. Let x = 47 - 32. Calculate the remainder when x is divided by c.
0
What is the remainder when 760 is divided by (-22477)/(-665) - (-1)/5?
12
Let m = -94 - -88. Let b be (m + -4)*((-3)/2)/3. Suppose 7*s = -b + 404. Calculate the remainder when s is divided by 23.
11
Let r(a) = -a**3 + 5*a + 2. Let w(x) = -5*x**3 - 15*x**2 - 84*x - 143. Calculate the remainder when w(-3) is divided by r(-3).
11
Suppose 22*m + 30 = 25*m. Suppose 91 = 17*z - m*z. Suppose 0*p = -p + 114. What is the remainder when p is divided by z?
10
Calculate the remainder when 1186 is divided by (44/3)/((-124)/(-36) - 3).
31
Let x = 31 + 1. Let a = -29635 + 29725. What is the remainder when a is divided by x?
26
Let q = -243 - -243. Suppose 6*v - 9*v + 75 = q. Calculate the remainder when (152 - 6) + 1 + 0 is divided by v.
22
Suppose 4*t - 772 = -d, 0 = 2*t - 2*d - 409 + 33. What is the remainder when t is divided by ((-32)/5 - 104/(-260)) + 45?
36
Let s(q) = q**2 + 60*q - 51. Calculate the remainder when s(-61) is divided by 8.
2
What is the remainder when 2 + -7 - ((-1 - -18) + -37) is divided by 6?
3
Suppose 0 = 280*b - 290*b + 2320. What is the remainder when b is divided by 38?
4
Suppose 4*t - t = 4*l - 108, 0 = -2*l + 3*t + 54. Let c = 14 + l. Suppose 2*u - c = 5. What is the remainder when 44 is divided by u?
21
Let q be (-1136)/6 + (-11