4*t, 0 = 4*s + 2*t - 100. What is the remainder when s is divided by 5?
0
Let t = 7713 - 6287. What is the remainder when t is divided by 55?
51
Suppose -6*a + 1149 = 141. Let y = 245 - a. Let b = -5 - -32. What is the remainder when y is divided by b?
23
Let h(i) = -911*i - 1750. What is the remainder when 265 is divided by h(-2)?
49
Let v(j) = j**3 + 11*j**2 + 5*j + 32. Let w be v(-10). Suppose -w = 3*d - 289. Calculate the remainder when d is divided by 9.
6
Calculate the remainder when (-54)/(-180)*-5*-1424 is divided by 63.
57
Let n = 99 - 61. Let x(a) = -a + 1. Let r(h) = 35*h + 39. Let p(s) = -r(s) - 4*x(s). What is the remainder when p(-5) is divided by n?
36
Let i(z) = 13*z**2 - 135*z - 1029. What is the remainder when 905 is divided by i(-8)?
22
Suppose -140*v + 142*v - 3187 = r, 3*r + 3177 = 2*v. Calculate the remainder when v is divided by 13.
10
Let j(c) = -179*c**3 - c**2 + 4*c - 2. Let y be j(1). Let b = y + 205. What is the remainder when 159 is divided by b?
24
Suppose -2*p + 7*p - 223 = -3*q, -11*p + 5*q = -479. What is the remainder when 250 is divided by p?
30
Let w(u) = -5*u**3 - u**2 - 2*u - 1. Let q = -882388 - -882595. Calculate the remainder when q is divided by w(-1).
2
Suppose -4*j = -l - 5321, 7*l - 5019 = -4*j + 326. Calculate the remainder when j is divided by 111.
110
Suppose 0 = 4*z - o - 12, 620*z + 5*o + 22 = 621*z. Let x(r) = r**2 + r - 3 + 3 - 2*r**2 + r**3. Calculate the remainder when x(2) is divided by z.
0
Let b = -23718 + 23838. What is the remainder when 3357 is divided by b?
117
Suppose -27*w + 29*w + 5*k - 6 = 0, -5*w = 4*k - 32. Calculate the remainder when 55 is divided by w.
7
Let p(c) = -99 - 19*c**2 + 52 - 13*c + 49. Let k be p(2). Let y = -70 - k. Calculate the remainder when 117 is divided by y.
27
Suppose 32*q + 105 = 393. Let f(w) = 5*w**3 + w. What is the remainder when q is divided by f(1)?
3
Suppose -48*n + 45*n = 0. Suppose -4*l + n*l - 65 = -p, -68 = -p + 3*l. Suppose 6*u = -u + p. What is the remainder when 41 is divided by u?
8
Let n(y) = -y**3 - 17*y**2 + 23*y + 80. Let a be n(-18). Let b(k) = 2*k + 1. Calculate the remainder when (16 - 31)*(-7)/a*-2 is divided by b(5).
10
What is the remainder when (125180/33)/10*(-1 - -4) is divided by 1206/(-24)*16/(-12)?
66
Suppose -6*j + 1768 = -914. Suppose -4*m - 4*u + 624 = 0, 3*u + j = 3*m - u. Calculate the remainder when m is divided by 23.
15
Suppose -k - 17*i = -21*i - 67, 0 = -3*k - 5*i + 286. Suppose k*g = 49*g + 418. What is the remainder when 53 is divided by g?
9
Let l(v) = -5*v + 17. Let b be l(3). Suppose -p - 188 = -b*q + 2*p, 3*q = 2*p + 282. What is the remainder when q + (4/(-5))/((-6)/(-15)) is divided by 24?
20
Suppose 0 = -z + 11*q - 9*q + 607, 0 = -2*q + 6. Let u = 672 - z. What is the remainder when u is divided by 10?
9
Let f = -17091 + 17123. What is the remainder when 309 is divided by f?
21
Suppose -2*z = n + 449, 5 = -n + 2. Let i = 236 + z. Calculate the remainder when 102 is divided by i.
11
Suppose 10*f + 198 - 428 = 0. Suppose -2*b - 4*h + 18 = -0*h, -4*b - h = -36. Suppose 4*z = b*z - 60. What is the remainder when f is divided by z?
11
Let m(b) = -10*b**2 + 1. Let v be m(-1). Suppose 10*x - 8 = 6*x. What is the remainder when 15 is divided by (3/x)/(v/(-30))?
0
Let p = 16 + -8. Suppose 245*s = 251*s - 54. What is the remainder when (-1 - -25) + (s/(-9) - 1) is divided by p?
6
Let d be ((-429)/(-12) - -3) + 3/(-4). Suppose 47*v - 108 = d*v. What is the remainder when 70 is divided by v?
10
Let q(h) be the first derivative of 4*h**3/3 - 3*h**2/2 + 15*h - 8. Calculate the remainder when q(6) is divided by 30.
21
What is the remainder when ((-28)/(-56))/(6/6444) is divided by 135?
132
Let d(l) = 11*l**2 + 80*l - 11. Let u be d(-9). Suppose -9*s + 583 = u. Calculate the remainder when 138 is divided by s.
44
Suppose -143*h + 141*h + 218 = 4*u, 4*h - 2*u = 436. What is the remainder when 381 is divided by h?
54
Suppose -2*g = -40 - 4. Suppose 3*y + y + 5*k = 759, -543 = -3*y + 5*k. Let z = y + -82. What is the remainder when z is divided by g?
16
Suppose 93*y = 99*y - 390. Suppose -5*b + y + 90 = -2*f, -4*b - 3*f + 101 = 0. What is the remainder when b is divided by 16?
13
Let p be -6*(-2)/(-6) - -408. Suppose -p*o + 400*o = -210. What is the remainder when 170 is divided by o?
30
Suppose 22*f - 21728 + 8022 = 0. Calculate the remainder when f is divided by 120.
23
Let z(m) = -m**3 - 7*m**2 - m + 15. Calculate the remainder when 1243 is divided by z(0).
13
Let k(t) = -2*t**3 - 2*t**2 + 2*t - 7. Let y be k(-3). Suppose 29*n = y*n - 36. Calculate the remainder when -1*(n - (2 + -5)) + 94 is divided by 35.
27
Let o(v) = 2*v**2 - v - 1. Let n(t) = -4*t**3 + 7*t**2 - 2*t + 2. Let w(p) = -n(p) + 2*o(p). Calculate the remainder when w(3) is divided by 17.
9
Let i(x) = -x**3 + 3*x**2 - 1. Let c be i(2). Suppose 4 = 4*o - c*o. Suppose -o*f = -29 - 31. Calculate the remainder when 56 is divided by f.
11
Suppose 402 = 5*f + 2*z, 0 = f + 9*z - 10*z - 72. Calculate the remainder when 6005 is divided by f.
77
Suppose 2024 = -1219*k + 1227*k. What is the remainder when k is divided by 127?
126
Suppose 7 - 1 = 3*a - w, -3*a = w - 12. Suppose 1416 = -a*s + 27*s. What is the remainder when s is divided by 17?
8
What is the remainder when 181/(-6)*(23 + -26)*2 is divided by 12?
1
Suppose b = -4*i - i, 5*i + 3*b = 0. Suppose -2*a - 3*j + 37 = -i*a, 3*a - 3*j = 63. What is the remainder when 57 is divided by a?
17
Let y = 7534 + -6661. What is the remainder when y is divided by 176?
169
Let f = 33769 + -31423. Calculate the remainder when f is divided by 22.
14
Let h(w) = 370*w - 4772. What is the remainder when 1140 is divided by h(13)?
0
Let y(g) = 50*g**2 - 3*g + 10. Let o be y(2). Suppose -2*h + 0*h + o = -2*l, -2*l = -3*h + 310. Calculate the remainder when h is divided by 12.
10
Let a(o) = o**3 + 63*o**2 - 15*o - 940. Let y be (1 + 0)/(2/4). What is the remainder when y/5 - 78/(-5) is divided by a(-63)?
1
Let a be 48/(-5 - -11)*(-1)/(-2). Suppose 108 = 2*b + a*w, 5*b - 4*b - 2*w - 42 = 0. Calculate the remainder when b is divided by 23.
2
Let z(h) = -2*h**3 - 2*h**2 - 6*h - 34. Calculate the remainder when 639 is divided by z(-3).
19
Let g(t) = -358*t + 5093. Calculate the remainder when g(12) is divided by 83.
50
Let x(u) = 17*u**3 + 2*u**2 - 3. Let i be x(2). Suppose -285 = -3*b + i. What is the remainder when b is divided by 11?
10
Let l(i) = 18*i - 53. Let y = -187 - -191. What is the remainder when 68 is divided by l(y)?
11
Let x = 11 + -7. Suppose -10*o - 14 = -7*o - 4*i, 0 = 2*o - 2*i + 6. Suppose 5*q - 299 = -x*h, q - o = -3. What is the remainder when h is divided by 11?
10
Let k = -15161 - -15370. Calculate the remainder when k is divided by 31.
23
Suppose i + 30*i = 124. Suppose 2*h - 546 = i*o, 0 = -h - 3*o + 6*o + 274. Calculate the remainder when h is divided by 20.
11
Let o be 4/18 + 224/(-36). Let f(m) = 40*m - 5534. Calculate the remainder when f(139) is divided by (-16 - o)*2/(-4).
1
Let a(o) = 2*o**3 + 3*o**2 - 5*o + 5. Let b(n) = 9*n**2 + 11*n + 23. What is the remainder when b(6) is divided by a(2)?
22
Let a = -561 + 223. Let x = a + 350. What is the remainder when 1 - (139/(-1) - 1) is divided by x?
9
Let t = 17 - -12. What is the remainder when ((-255)/(-9))/(-21 + (-2827)/(-132)) is divided by t?
10
Calculate the remainder when ((-8397)/(-54))/(((-6)/3)/(-4)) is divided by 52.
51
Let k = 250 + -720. Let z = 499 + k. Calculate the remainder when z is divided by 21.
8
Let t(p) = -p**2 - 23*p + 53. Let v be t(-25). Suppose v*y - 2*y = 5*g - 4785, 0 = -4*g - 5*y + 3857. What is the remainder when g is divided by 64?
62
Let m = 583 + -444. What is the remainder when 302 is divided by m?
24
Suppose 5*i + 768 = 9*i. Let a = -88 + i. Suppose 19 = -5*r + a. Calculate the remainder when 50 is divided by r.
16
What is the remainder when 124 is divided by (-120)/15 + 1/(6/138)?
4
Let m = -97 - -344. Let j = m - 237. Calculate the remainder when 96 is divided by j.
6
Let z = -13609 - -13834. Calculate the remainder when 1362 is divided by z.
12
What is the remainder when (-1 - 1509)*(615/30 - 21) is divided by 192?
179
Suppose -h = -3*j - 6586, -h - 375*j = -376*j - 6572. What is the remainder when h is divided by 1