*k - 915*k, -4*v - 3*k = -2631. Calculate the remainder when v is divided by 315.
27
Let c(b) = 38*b + 1645. What is the remainder when c(-42) is divided by 20?
9
Suppose 0 = -4*x - 4*s + 26024, 190*s = 2*x + 194*s - 13026. What is the remainder when x is divided by 25?
24
Suppose -6*v + 906 = 6*a - 3*a, 1510 = 5*a - 3*v. Calculate the remainder when a is divided by 56.
22
Let y = 66 + -57. Let u be (-8163)/(-81) + 2/y. Let f = 119 - u. Calculate the remainder when 87 is divided by f.
15
Let f(q) = 18 + 0*q**3 + 2*q**3 - 2*q**3 - q**3 + 13*q - 11*q**2. Let s be (0 - 20)*129/215. What is the remainder when f(s) is divided by 3?
0
Suppose -190*w + 1363 = -150*w + 323. Calculate the remainder when 11437 is divided by w.
23
Let u(i) = 88*i + 16. Let s be u(-2). Let n = s - -203. Calculate the remainder when 298 is divided by n.
40
Let t(z) be the third derivative of -z**4/8 + 22*z**3 - 240*z**2. What is the remainder when t(-29) is divided by 16?
11
Let s(v) = -171*v**2 - 10. Let x(n) = 57*n**2 + 3. Let u(m) = 2*s(m) + 7*x(m). Calculate the remainder when 231 is divided by u(-1).
57
Let k = 3 + -3. Suppose d + 2*h = 4*h + 12, -d - 5*h + 19 = k. Calculate the remainder when 2648/72 + 1 + 7/(-9) is divided by d.
9
Suppose 3*u = 2*g + 179, 11 = 4*u + 6*g - 245. Calculate the remainder when 431 is divided by u.
4
Let s = -22402 + 22461. What is the remainder when 14040 is divided by s?
57
Let x(s) = -2*s**2 - 4*s + 17. Let f be x(9). Let k = -112 - f. Calculate the remainder when k is divided by (32/(-40))/((-1)/15).
9
Suppose -4*w + 1069 = 5*d - 0*d, 0 = -5*w - 5*d + 1330. Let i = 275 - w. What is the remainder when 38 is divided by i?
10
Let d(v) = v**2 - 27*v + 6. Let k = 400 - 369. What is the remainder when d(k) is divided by 36?
22
Let v = 174 + -181. Let y(q) = -q**2 - 12*q - 2. What is the remainder when y(v) is divided by 12?
9
Let n be 9/(-6)*70/(-21). Suppose -4*o - 302 = -n*z - 2*o, 3*z - 182 = 2*o. What is the remainder when z is divided by 32?
28
Suppose -4*b - 2*t = -93 - 59, 0 = -2*t - 4. Suppose -778*v - 2089 + 17649 = 0. What is the remainder when b is divided by v?
19
Let s = -775 - -1225. Suppose -s*y + 12 = -448*y. Calculate the remainder when 21 is divided by y.
3
Suppose -19*b + 43*b - 3360 = -32*b. What is the remainder when 14339 is divided by b?
59
Let n = -8225 + 8367. What is the remainder when n is divided by 36?
34
Suppose -2*b = 3*b - 55. Suppose 10*j - b*j = -2. Suppose 0*x - 6 = -j*x. Calculate the remainder when 6 is divided by x.
0
Let d = -277 + 292. Let c = -20 + 39. What is the remainder when c is divided by (-6)/2*((-50)/d)/2?
4
Calculate the remainder when 241 is divided by 226/10*(-28 + (45 - 12)).
15
Let v = 18183 + -18169. What is the remainder when 1215 is divided by v?
11
Let o = 662 + -547. Let y(t) = t**3 - 8*t**2 - 6*t + 3. Calculate the remainder when o is divided by y(9).
25
Let f(n) = n**3 + 48*n**2 + 93*n + 99. Suppose 5*o - 204 = 4*o + k, 0 = -5*o + 3*k + 1024. Calculate the remainder when o is divided by f(-46).
47
Calculate the remainder when (-9935)/(-7) + -5 + 561/119 is divided by 257.
134
Let x = -27 + 200. Calculate the remainder when x is divided by 56/(196/28) + (-100)/(-2).
57
Let k be 0/(-2 + 8/(4 - 2)). Suppose 25*s - 482 - 368 = k. What is the remainder when s is divided by 2?
0
Let m be (-29 + 1)/(5 - (-36)/(-8)). Let k = 90 + m. Suppose 3*z = -7*g + 3*g + k, -5 = -5*g. Calculate the remainder when 21 is divided by z.
1
Let a(n) = 330*n - 2287. What is the remainder when 4068 is divided by a(7)?
20
Let g(s) = 3*s + 164. Let k = 175 + -169. What is the remainder when g(k) is divided by 46?
44
Let d = -298 - -301. Suppose 0*g + 150 = d*g - 4*b, -4*g + 200 = -b. What is the remainder when g is divided by 13?
11
Let g = 146 - 181. What is the remainder when (38/(-6))/(g/105) is divided by 11?
8
Let s(n) = -n**2 + 7*n + 1. Let p = 13 - 8. What is the remainder when -21 + 39 - (18 - 19 - 24) is divided by s(p)?
10
Let m = -32 + -136. Let i = -116 - m. What is the remainder when 100 is divided by i?
48
Suppose 0 = 2*d - f - 166, -5*d + 41*f - 46*f = -445. What is the remainder when 1772 is divided by d?
72
Suppose 37 + 3 = 2*a. Let s be (-9)/(5 + -14)*87. Let w = 32 + s. Calculate the remainder when w is divided by a.
19
Suppose 0 = -2*t - 5*w + 979, 10 + 978 = 2*t - 4*w. What is the remainder when t is divided by 45?
42
Let i = 7595 - 7156. What is the remainder when i is divided by 113?
100
Let y(w) = -2*w**3 - 151*w**2 + 76*w + 25. What is the remainder when 476 is divided by y(-76)?
1
Let j = -7464 - -7490. Suppose 5*b + 215 = -0*b - 5*z, -203 = 5*b + 2*z. Calculate the remainder when j is divided by b/(-4) - (-1)/4.
6
Suppose -13749 = -31*x + 19167 + 3385. Calculate the remainder when x is divided by 104.
27
Let v = 8866 - 7770. What is the remainder when v is divided by 184?
176
Let o(s) = s**3 + 4*s**2 - 40*s - 6. Calculate the remainder when 2484 is divided by o(5).
14
Suppose 33*p = 21*p - 28*p + 32080. What is the remainder when p is divided by 172?
114
Suppose 5*d + 4 = 7*d, 5*h = 5*d + 35. Suppose -h*m + 535 - 202 = 0. What is the remainder when m is divided by 10?
7
Suppose 320*l - 24141 + 1531 = 187*l. Let o = 11 + -2. Calculate the remainder when l is divided by o.
8
Let l = 282 - 277. Suppose l*g - 1642 = -3*h, -4*g + 4*h + 1086 = -234. Calculate the remainder when g is divided by 67.
61
Suppose 2176 = 40*b - 6*b. Suppose 29*n - 52 = 25*n. What is the remainder when b is divided by n?
12
Suppose -2688 = -37*p + 9*p. Suppose 0 = 5*x - m - 100, -2*x - 40 = -4*x + 4*m. What is the remainder when p is divided by x?
16
Let p(h) = 3*h**2 + 28*h + 43. Suppose -138*t - 10 = -137*t. Calculate the remainder when p(t) is divided by 23.
17
Let d(k) = -232*k - 542. Calculate the remainder when 1074 is divided by d(-3).
150
Suppose 240 = c + c. Let l(p) = 28*p - 4*p**2 + p**3 + 30*p**2 - 7*p - 59. What is the remainder when c is divided by l(-25)?
38
Let l(x) = 8*x**2 + 15*x + 66. Let w(b) = -11*b**2 - 15*b - 66. Let p(h) = -4*l(h) - 3*w(h). Calculate the remainder when p(23) is divided by 15.
13
Let g(o) = -o**3 + 5*o**2 + 4. Suppose 0 = -y - 1, -4*s + 66 = -4*y - 398. Suppose 0 = 11*i - s + 60. Calculate the remainder when i is divided by g(5).
1
Suppose -14*j - 6*j = 4920. Calculate the remainder when 735 is divided by j*2/6*2/(-2).
79
Let r = -25111 + 25228. What is the remainder when 1078 is divided by r?
25
Let v(g) = g + 4. Let x(o) = -2*o - 9. Let d(w) = -9*v(w) - 4*x(w). Let l be d(-1). Let j = 19 + l. What is the remainder when 56 is divided by j?
16
Suppose -4*z = f - 73, -3 = z - 0*z - 4*f. What is the remainder when 176/220 + 802/10 is divided by z?
13
Let r(y) = -12*y**2 + 121*y + 21. Calculate the remainder when (38/2)/((-1)/(-8)) is divided by r(10).
28
Let a = -67553 + 67561. Suppose -2*h + 72 = -0*h. What is the remainder when h is divided by a?
4
Let p be ((-9)/12*-4 + -3)/1. Suppose -3*t - 5*w + 84 = p, 0*t - t + 11 = -4*w. Calculate the remainder when t is divided by 7.
2
Suppose -12*n + 1009 = -1019. Suppose -t + n = -74. What is the remainder when t is divided by 19?
15
Let c(m) = 52*m**2 + 2496*m + 115. What is the remainder when c(-56) is divided by 223?
219
Let a(k) = 1. Let h(t) = -13*t - 14. Let d(j) = 6*a(j) - h(j). Calculate the remainder when d(4) is divided by 11.
6
Let k = -77 + 90. Suppose 9*a - 77 = k. Let b = -2 + 38. What is the remainder when b is divided by a?
6
Suppose 0 = -4*o + 102 + 10. Suppose -o + 18 = -5*f. Suppose f*p = b + 26, 4*b - b + 52 = 4*p. What is the remainder when p is divided by 5?
3
Suppose 235*u - 230*u = 15. Suppose 44 + 37 = u*j. Calculate the remainder when j is divided by 16.
11
Suppose 13 = y - 4. Suppose 4*w - 5*j - 353 = 0, -2007*w - 7*j + 129 = -2005*w. What is the remainder when w is divided by y?
14
Let s = 6917 + -6818. Calculate the remainder when 1289 is divided by s.
2
Let b(k) = -145*k - 5078. What is the remainder when 2322 is divided by b(-39)?
14
Let s(h) = h**3 + 11*h**2 - 37*h - 50. What is the remainder when s(-13) is divided by 80?
13
Suppose 4*p + p = -5*s + 730, 0 = -5*p + 3*s + 770. Let w = p + -76. Let f = w + -66. Calculate the remainder when 15 is divided by f.
6
Suppose 3*y = 5*x - 105, -6*x = -3*x