52 = -4*a + 8*a. Let f be (i/(-36))/(2/24). Calculate the remainder when 69 is divided by (-126)/27*(-6)/f.
6
Let m = 908 + -906. Suppose 2*a = m*b + 18, b - 41 = -44. Calculate the remainder when 76 is divided by a.
4
Let q = 14 - 131. Let x = q + 129. What is the remainder when x is divided by 11?
1
Suppose -b - 3*u + 88 = 0, -451 = -5*b - 11*u + 7*u. What is the remainder when 541 is divided by b?
86
Suppose k - 11 = 7. Suppose r - 4 = -3*d, -r - r = -4*d - k. Let j(m) = 2*m**2 - 265*m - 1076. Calculate the remainder when j(-4) is divided by r.
2
Let z = -20 - -62. Suppose -78*b + 600*b = -356*b + 145748. Calculate the remainder when b is divided by z.
40
Let q(h) = 4*h - 1. Let n be q(-2). Let d = 18 - -15. Calculate the remainder when ((-21)/n)/(1/d) - 0 is divided by 21.
14
Let q be (-8)/(-2) + -37 + 0. Let r = q - -56. Suppose 0 = r*n - 25*n + 206. Calculate the remainder when n is divided by 35.
33
Suppose -90*w + 8536 = -2*w. Calculate the remainder when w is divided by 18.
7
Let u = 63 + -60. Suppose j - 5*m - 4 = -m, -12 = -u*j + 5*m. Suppose -85 = -l + 3*r, -j*r = 3*l - 71 - 236. Calculate the remainder when l is divided by 17.
12
Suppose -6*u + 8*u - k = 87, -3*k + 54 = u. Suppose v - 2*v = -3*f + 198, -5*v = 0. Let n = f - u. Calculate the remainder when 82 is divided by n.
19
Calculate the remainder when 471 is divided by (-130)/(-50) - 3/1 - (-36832)/80.
11
Let n(q) = 15*q + 46 - 34*q + 17*q. What is the remainder when 201 is divided by n(6)?
31
Suppose 3*x - 3*m - 176 = 169, 0 = -4*x - m + 455. Suppose q = -y + x, 5*y - y - q - 451 = 0. Calculate the remainder when y is divided by 23.
21
Suppose q + 6 = 0, 3*p - 14*q + 19*q - 354 = 0. Calculate the remainder when p is divided by 12.
8
Suppose 3*q - 5734 = 4*k - 8*k, 3*q + 4332 = 3*k. Calculate the remainder when k is divided by 36.
34
What is the remainder when 195 + 4*(-5)/(120/18) is divided by -2 - -1 - -1 - 78/(-6)?
10
Suppose 0 = -17*h + 5*h + 48. Suppose 0 = 5*v - h*f - 2473, 0 = v + 4*f - 107 - 378. What is the remainder when v is divided by 71?
67
Let l = -12585 + 12591. Let x = 21 - 15. Calculate the remainder when x is divided by l.
0
Let x(l) = -l**2 + 7*l - 4. Let s(i) = -5912*i - 135966. What is the remainder when s(-23) is divided by x(6)?
0
Let s = 2490 - 1148. Suppose -49*b = -71*b + s. Suppose -2*k + 48 = -2*u, -3*k - 2*u + u + 60 = 0. Calculate the remainder when b is divided by k.
19
Calculate the remainder when 554 is divided by 4464/33 + 5*6/(-110).
14
Suppose 39 = -3*p + 21, 2*h = -3*p + 154. What is the remainder when 1020 is divided by h?
74
Let t = -11687 + 13577. Calculate the remainder when t is divided by 4.
2
Let n(x) be the third derivative of 2*x**5/15 + 5*x**4/24 + x**3/2 - x**2. What is the remainder when n(-3) is divided by 3 + 9 + 4 + 0?
12
Let a = -616 + 620. Let o(y) = 3*y**3 - 5*y**2 + 4*y - 13. What is the remainder when o(a) is divided by 51?
13
Let u = 56 + -53. Calculate the remainder when -4 - (2 - u) - -190 is divided by (2/(-4))/(1 - (-660)/(-648)).
25
Calculate the remainder when 3*(-9 - -10 - 0)*472/3 is divided by 233.
6
Let p be ((-44)/(-10))/((-4)/20) - -3. Let c = p + 21. Suppose -c*t + t - d = -24, -3*d = -2*t + 38. What is the remainder when 85 is divided by t?
19
Suppose 11*j - 2*j - 2898 = 0. Suppose -j = -3*h + h. What is the remainder when h is divided by 11?
7
Let q = -250 + 372. Let z = -44 + q. Calculate the remainder when z is divided by 16.
14
Let w = 18 + -14. Suppose 15 + 18 = b + 3*a, -w*b - 5*a = -146. Calculate the remainder when b is divided by 16.
7
Let z(k) = 113*k - 12214. What is the remainder when 4390 is divided by z(121)?
13
Let t(r) = r**3 - 20*r**2 + 36*r - 26. Calculate the remainder when t(20) is divided by 54.
46
Suppose -27*w = -158*w + 7598. What is the remainder when 118 is divided by w?
2
Let z = -6257 - -6297. Calculate the remainder when 3055 is divided by z.
15
Let h = -565 + 691. What is the remainder when 293 is divided by h?
41
Let r = 527 - 507. Let y(i) = 8*i - 117. Calculate the remainder when 209 is divided by y(r).
37
Let h(z) = -195*z - 4323. Calculate the remainder when h(-23) is divided by 52.
6
Suppose -12*m + 644 = -412. What is the remainder when 97 is divided by m?
9
Let d = -246 + 248. Suppose 4*x + 5*p - 36 = d*p, -5*x - 5*p + 45 = 0. What is the remainder when 13 is divided by x?
4
Suppose 4*p = 12*x - 8*x - 584, -3*p = 4*x + 466. Let y be (24/(-30))/((-2)/(-5)). What is the remainder when 4 - (y - p)/(-4) is divided by 11?
8
Let q(g) = -293*g + 2957. What is the remainder when q(9) is divided by 129?
62
Let j be (-75)/(-10)*(12/(-10))/(-1). Let p be 2/12*(j + -12)*-4. Suppose -p*i + 3 = -87. Calculate the remainder when i is divided by 25.
20
Suppose 0 = -4*c - 2*s - s + 128, s - 149 = -5*c. Calculate the remainder when (2/(54/(-45)))/((-15)/882) is divided by c.
11
Let u = -5371 - -5378. Suppose -19 = -h + 20. What is the remainder when h is divided by u?
4
Let i = 8779 + -8456. What is the remainder when i is divided by 311?
12
Let n(q) = -q**3 - 7*q**2 - 5*q + 12. Let j = -2 - 3. Let r be n(j). Let f(b) = -b**3 - 13*b**2 + 2*b + 30. Calculate the remainder when 26 is divided by f(r).
2
Suppose 11*w - 473 = -3*v + 444, -4*w - 5*v + 353 = 0. Let l = -14 - -32. Calculate the remainder when w is divided by l.
10
Calculate the remainder when (-2)/((-18792)/1878 + 10) is divided by 26.
1
Suppose -17*c + 196 = 11*c. Let j(h) = -8*h - 32. What is the remainder when j(-9) is divided by c?
5
Let u(v) = -301*v - 39. What is the remainder when u(-1) is divided by 127?
8
Suppose 0 = 13*b - 12*b + 4*b - 270. What is the remainder when b is divided by 3?
0
Let h = 7209 + -7021. Calculate the remainder when 937 is divided by h.
185
Suppose 4*x + 2*f = f + 158, 5*x - 3*f - 206 = 0. Suppose -x = -6*m + 68. What is the remainder when 83 is divided by m?
11
Let o = 42 - 37. Suppose 2*n - o*n = -75. What is the remainder when 197 is divided by n?
22
Let c = 149 - 108. Suppose -11 = -7*j + 31. Suppose -j*s + 4*s = 10, 0 = 4*g - s - 65. Calculate the remainder when c is divided by g.
11
Let p = 40 + 8. Let x = 9 + p. Calculate the remainder when x is divided by (-3)/(3/(-40))*(-436)/(-872).
17
Suppose 3*j + 5*g = 2131, 0*g = -4*j + 2*g + 2876. What is the remainder when j is divided by 1595/22 + ((-22)/4 - (-175)/35)?
69
Let d = 111 + -109. Let y(f) = 2 - f - f**3 - 2*f**3 + d*f**3 - f**2 - f. What is the remainder when y(-4) is divided by 15?
13
Suppose -1092 = 8*h + 12*h - 33*h. What is the remainder when 546 is divided by h?
42
Let k be ((-1)/2)/((-6)/(-144)*3). Calculate the remainder when 82 is divided by 106/8 + (65/(-20) - k).
12
Suppose 26*v + 12 = 27*v - k, -4*v = -k - 69. What is the remainder when 1085 is divided by v?
2
Suppose -5*c - 35 = 5*n, 4*c - 3 + 21 = -2*n. Suppose -24*d = -27*d - 3*f + 39, 5*d = f + 59. Calculate the remainder when 163 + n*d/(-30) is divided by 42.
39
Suppose 1 + 44 = 3*x. Let v(m) = -9*m - 16. Let h be v(10). Let d = -80 - h. Calculate the remainder when d is divided by x.
11
Let c = -5353 - -5383. What is the remainder when 503 is divided by c?
23
Suppose -j - 3*j - 15 = 5*a, 3*j = 0. Calculate the remainder when 52 is divided by 6 - a*(0 - (-4)/6).
4
Let r = 8231 + -8073. Calculate the remainder when 165 is divided by r.
7
Let j(l) = -659*l + 50. Calculate the remainder when 399 is divided by j(0).
49
Suppose 0 = -g + 6*g - 7*g + 46. What is the remainder when g is divided by 5?
3
Let d(f) = f + 11*f - 7*f - 4*f**2 + 5*f**2 - 9. Calculate the remainder when 37 is divided by d(4).
10
Let d = 2393 - 2377. Calculate the remainder when 270 is divided by d.
14
Let w = 2307 + -247. Calculate the remainder when w is divided by 59.
54
Let g be 11/(-6 - (-28)/4). Suppose -4*b - 7*v + 212 = -g*v, -68 = -b + 4*v. What is the remainder when 165 is divided by b?
21
Let x(j) = -4 - 514*j**3 + 7*j**2 - j + 515*j**3 + 6*j. Let b be x(-6). Suppose b*z + 154 = 13*z. What is the remainder when 39 is divided by z?
11
Let h = 35 - 21. Let l = 0 + h. Suppose -4*c + 146 = -v, 3*c + v + 0*v = 106. Calculate the remainder when c is divided by l.
8
Suppose -3*m - 3*d - 3 = -102, 4*m - 128 = -3*d. Let n(w) = 5*w**2 - 30*w + w**2 - 5*w**2 + 42. Calculate the remainder when n