. Calculate the remainder when 274 is divided by k.
42
Let o(r) = -r**3 + 5*r**2 + 3*r - 1. Suppose 8*j - 15 = 5*j. Suppose -f + 3*f + 3*y - 26 = 0, 6 = -2*f + j*y. Calculate the remainder when o(4) is divided by f.
6
Suppose -423 = 12*q + 2157. Let h be (-916)/8 - (-1)/2. Let b = h - q. What is the remainder when b is divided by 26?
23
Suppose -27*v + 420 = -304 - 329. What is the remainder when 1554 is divided by v?
33
Let i = 28754 + -28743. Suppose 0 = -2*x + 27 + 49. Calculate the remainder when x is divided by i.
5
Suppose -543 = 3*u + 1569. Let j = -418 - u. Suppose -640 = -5*s - 5*r, -s + 4*r = s - j. What is the remainder when s is divided by 34?
31
Let f(y) = -64*y + 6176. What is the remainder when f(37) is divided by 18?
10
Let j be -27*(8/12 - 2)*1. Suppose 2*d = -3*i + j, -5*i + 73 = -3*d + 2*d. Calculate the remainder when 96 is divided by i.
12
Let o(j) = 2*j**3 + 44*j**2 + 4*j + 105. What is the remainder when 3297 is divided by o(-22)?
16
Let k = -4710 + 4718. What is the remainder when 557 is divided by k?
5
Let v = 449 + -491. Calculate the remainder when 37 is divided by (-12)/v + 66/14.
2
Let f = 116 - 113. Suppose 0 = f*z - 5*o - 5, -5*o - 5 = 2*z - 0. Suppose 3*d - 8*d + 165 = 4*m, z = 4*d - 20. What is the remainder when 101 is divided by m?
31
Suppose -3*r + 33 = -6. What is the remainder when r is divided by (-9)/((-324)/(-8)) + 112/18?
1
Let d = -2719 + 2950. What is the remainder when d is divided by 49?
35
Let j = -4782 - -4788. Calculate the remainder when 130 is divided by j.
4
Suppose -3*w + q = 0, 0 = 4*w + 4*q - 4 - 12. Let y(u) = -u**2 - 138*u - 781. Calculate the remainder when 17 + (1 + 1)*w is divided by y(-6).
8
What is the remainder when -6*(-7 + (-15)/(-9)) is divided by 18?
14
Suppose -5*v - 1 = m + 1, 2*v = 5*m + 37. Calculate the remainder when 38 is divided by (-6 + 76/28)*m.
15
What is the remainder when 12/(-90)*(24 - -3)*-30 is divided by (-11 + 300/24)/(3/62)?
15
Let a = 2403 + -2482. Suppose n - 3*i + 29 = -40, 3*i = -2*n - 111. Let f = n - a. What is the remainder when f is divided by 7?
5
Suppose 2162 = 17*p - 2377. Calculate the remainder when p is divided by 80.
27
Calculate the remainder when (-21)/((-357)/21148) - (-1)/((-4)/8) is divided by 86.
38
Suppose 105*s - 465 - 6045 = 0. Calculate the remainder when 940 is divided by s.
10
Suppose 4*p - 31800 = -5*n, -4*n + p - 4*p + 25440 = 0. What is the remainder when n is divided by 148?
144
Suppose -3*x + 147 = -3*z, 5*x + 205 = -2*z - 3*z. Let f = -41 - z. Suppose q = -f*v + 8, 2*q - 24 = -3*q - 4*v. Calculate the remainder when q is divided by 1.
0
Let l(g) = -118*g - 1481. What is the remainder when 2356 is divided by l(-13)?
24
Suppose 4*j - 358 = 2*n, -4*j + 4*n + 357 = n. Let b = 97 - j. Let v(t) = t**2 - t + 4. What is the remainder when v(-4) is divided by b?
3
Suppose 3*w = 5*s + 652, -2*s = -54*w + 55*w - 188. Calculate the remainder when 1201 is divided by w.
181
Let l = 37554 - 36680. Calculate the remainder when l is divided by 65.
29
Let v = 24867 + -24787. What is the remainder when 3196 is divided by v?
76
Suppose 2*h - 1 = 7. Suppose 0*b - 276 = -h*b. Suppose -3*q - 690 = d - 732, 4*q = 5*d - 58. What is the remainder when b is divided by d?
15
Suppose x = -5*r - 1, -3*x - 3*r - 3 = -6*r. Let a be ((x + 1)/(-3 - 0))/(-1). Let h(b) = b**3 + b + 107. Calculate the remainder when h(a) is divided by 11.
8
Suppose 185 = 10*h - 35. Suppose 2*n - 45 = 11*n. What is the remainder when (126/(-10))/(n/25) is divided by h?
19
Let m = -143 + 137. What is the remainder when 18 is divided by (-11)/(-2)*m/(-3)?
7
Let t(z) = -5*z**3 + 47*z**2 - 18*z + 59. Suppose 5*r = 3*r + 704. Calculate the remainder when r is divided by t(9).
57
Let j = -35067 - -35603. What is the remainder when 1077 is divided by j?
5
Suppose -4*i + 162 = -2*o, -53*i + 3*o - 135 = -56*i. What is the remainder when 156 is divided by i?
30
Let f(m) = -386*m + 252. Let z(w) = 55*w - 36. Let d(i) = 6*f(i) + 44*z(i). Calculate the remainder when d(3) is divided by 66.
42
Let n = 127389 - 127265. What is the remainder when n is divided by (-24 - 0)/(6/(-8))?
28
What is the remainder when (13 + 1830/(-75))/(1/(-135)) is divided by 1521?
18
Calculate the remainder when (188 - 1) + (-644)/(-46) is divided by 122.
79
Suppose r = 9*r - 160. Suppose 1627 - 1706 = -l. What is the remainder when l is divided by r?
19
What is the remainder when (1 + 4/(-6))/((-2570984)/(-514185) + -5) is divided by 263?
12
Suppose -5*u = -18 - 117. Suppose 128*c = 38*c - 155*c + 26215. Calculate the remainder when c is divided by u.
26
Let u = -10030 + 12586. Calculate the remainder when u is divided by 318.
12
Let x = -6649 - -7427. What is the remainder when 1569 is divided by x?
13
Suppose 2*n + 2*b = -2142, 3*n + 5*b = 6*n + 3237. What is the remainder when 144 is divided by (-20)/(-110) + n/(-22)?
46
Let l = 41 + 10. Suppose 370 = -l*x + 3481. Calculate the remainder when 852 is divided by x.
59
Suppose -3*b - 204 = -6*b. Let s(z) = -9*z + 212. Calculate the remainder when b is divided by s(22).
12
Let s = 4672 - 4469. Calculate the remainder when 620 is divided by s.
11
Let u = 1461 + -1459. Let h(m) = -m + 7. Let l be h(5). Suppose l*n = -u*n + 92. What is the remainder when 40 is divided by n?
17
Suppose 5*f - 107 = -4*s, 2*s - 2*f = -f + 71. Let z = s + -41. Calculate the remainder when 36*1/(z/(-12)) is divided by 8.
6
Let p(b) = 11*b. Suppose 251*y - 14649 - 4427 = 0. What is the remainder when y is divided by p(1)?
10
Let t(v) = v + 23. Let p(b) = -b + 42. Let k(q) = 16*q - 27. Let g be k(3). Calculate the remainder when p(g) is divided by t(-10).
8
Let s(w) = 20*w**2 + 16*w + 66. Let l be s(-5). What is the remainder when 62 is divided by (-5)/(2 - 1017/l)?
8
Suppose 2*d + 132 = 4*g, -176 = 3*d + g + 4*g. Calculate the remainder when 173 is divided by 55*d/(-93)*12/10.
41
Let z = 5903 + -5800. What is the remainder when 1350 is divided by z?
11
Let l be (-22)/275 - 1052/(-25). Let o = 84 - l. Calculate the remainder when 166 is divided by o.
40
Suppose 0*d = 3*l - 2*d - 97, -5*d - 50 = -2*l. Let j(i) = i**2 - 31*i - 121. What is the remainder when j(l) is divided by 10?
9
Suppose 5*p + 42 = -4*g + 489, g - 123 = -5*p. Suppose 6*u - 2*u = -g. Let q = u + 51. Calculate the remainder when 95 is divided by q.
23
Let b = 27 + 234. Let q be 4/10 + (-573)/(-5). Let r = -71 + q. What is the remainder when b is divided by r?
41
What is the remainder when 6437 is divided by 0 + ((-4 - -4) + 2 - -56)?
57
Let c be 23 + (-12)/4 + 4. Calculate the remainder when 45/20*(-368)/(-6) is divided by (-2 + 3)*(4 + c).
26
Let h = -5290 + 5386. What is the remainder when 561 is divided by h?
81
Suppose 20*a = a + 399. What is the remainder when (2 - a/14)*112 is divided by 30?
26
Let k(l) = 29*l + 565. What is the remainder when k(-6) is divided by 12?
7
Suppose -4812 = -2*i + 3*t, -80*i = -75*i - t - 12043. What is the remainder when i is divided by 80?
9
Calculate the remainder when ((-1874)/4 + -1 + -1)/((-44)/352) is divided by 157.
153
Suppose 803 = 17*y - 4*y - 250. Calculate the remainder when y is divided by 48.
33
Suppose -4*n = v - 6*v - 5, 0 = -5*n - 3*v + 34. Suppose 4*p - 97 = -a, p - n*a = -10*a + 10. Calculate the remainder when p is divided by (-19)/(-2) - 1/2.
7
Let y = -5450 - -5452. What is the remainder when 974 is divided by y?
0
Let b = 123 - -9. Let l = 178 - b. What is the remainder when 182 is divided by l?
44
Suppose -2*l + 3*j + 0 = 12, -3*l = -j + 18. Let m = -6 - l. Suppose m = -0*f - 2*f + 52. What is the remainder when 70 is divided by f?
18
Let y be (14 + -14)/(-1 + 0) - 1. What is the remainder when 2/6 + y - (-805)/15 is divided by 24?
5
Suppose 2*d = -4*u + 2*u + 596, -5*d - 2*u = -1484. Let h = 18964 + -18939. What is the remainder when d is divided by h?
21
Let z = -8009 - -8228. Calculate the remainder when 382 is divided by z.
163
Let t(m) = 3*m**2 - 49*m - 45. Let f be t(28). Suppose -6*r = 209 - f. What is the remainder when r is divided by 61?
60
Suppose 0 = -5*l + q + 1238, l - 5*l + 976 = 4*q. Let d = -89 + l. Suppose -6 + 4 = w, -5*b + 4*w + d = 0. Calculate the remainder when 118 is divided by b.
28
Suppose 0 = 45*h - 30*h - 2145. Calculate the remainder whe