0 = 5*d - 3*n - 30, b - 3 = 3*d - 4*n. Suppose 208*q = 157*q + 204. Calculate the remainder when q is divided by d.
1
Let a = 76 + 31. Suppose -125851 - 123225 = -6*k - 286*k. What is the remainder when k is divided by a?
104
Let u(j) = -j. Let f(l) = 6*l + 120. Let m be f(25). Let s = m + -183. Calculate the remainder when s is divided by u(-8).
7
Let s(b) = -3*b**3 + 17*b**2 - 34*b + 141. Calculate the remainder when 266 is divided by s(5).
14
Suppose -3*l = 4*c - 2*l - 65, 0 = -2*c + l + 25. Suppose 5*b = 1284 + 501. What is the remainder when b is divided by c?
12
Let l(h) = -23*h - 150. What is the remainder when 1 + -1 - (3 - 17) is divided by l(-7)?
3
Suppose 86565 = 108*l - 19491. What is the remainder when l is divided by 235?
42
Suppose 0 = 6*o - 138 + 108. Let f(r) be the first derivative of r**4/4 - 4*r**3/3 - r**2/2 + 6*r + 1. What is the remainder when f(o) is divided by 18?
8
Let c = -189 + 390. Let t = c + -185. Calculate the remainder when 27 is divided by t.
11
Let m(r) = -2*r**2 - r - 4. Let v(k) = 6*k**2 + 5*k + 12. Let j(f) = 8*m(f) + 3*v(f). Let x(y) = 5*y + 1. What is the remainder when x(4) is divided by j(-4)?
5
Calculate the remainder when 3*-4*5654/(-264) is divided by 114.
29
Suppose 4*k - 20 = -k. Let m = 408 + -405. Suppose -m*y + k*g + 53 = 0, 4*y + 2*g - 34 = -0*y. Calculate the remainder when 52 is divided by y.
8
Let s = 2308 + -2289. Calculate the remainder when 1690 is divided by s.
18
Let r = 614 + -295. Calculate the remainder when (-2 - (-4 - r)) + (-3)/3 is divided by 19.
16
Suppose -5*k - 4*b = -626, 0 = -4*k - 0*k - 4*b + 500. Calculate the remainder when k is divided by 850/55 + 98/(-22) + 5.
14
Suppose -25*g = -18*g - 28. Suppose -4*x + c = x - 400, -g*x - 3*c + 301 = 0. What is the remainder when x is divided by 12?
7
Calculate the remainder when ((-628824)/(-140))/19 - 2/5 is divided by 14.
12
What is the remainder when 752 is divided by (16/88)/(7/462)?
8
Let a(r) = -r**2 - 5 - 6*r**2 + 6*r**2 - 12 + 16*r. What is the remainder when 15 is divided by a(14)?
4
Let t = -617 - -540. What is the remainder when 2 + (-1 + 1 - t) is divided by 23?
10
Suppose -r = r - 32. What is the remainder when (27/45)/((-60)/(-5300)) is divided by r?
5
Let c(b) = 12*b + 27*b**3 - 55*b**3 - 16*b**2 + 29*b**3 + 34. Let u be c(15). What is the remainder when 117 is divided by 38 + u - (-6)/(-2)?
21
Suppose -3*u - 7*u = -1340. Let t = 169 - u. Calculate the remainder when t is divided by 9.
8
What is the remainder when 888 is divided by 7 - ((-878 - -6) + -2)?
7
Let y be 6/(-27) + (-573)/(-27) + -8. Let l = 59 + y. What is the remainder when l is divided by 19?
15
Suppose -14*o = -0*o - 490. Let a = -34 + o. Calculate the remainder when (a - (3 - 18)) + 0 is divided by 9.
7
Suppose 4*p + 871 = q + 253, -4*q + 2382 = 2*p. Calculate the remainder when q is divided by 591.
7
Let m be (3 - (-306)/1) + -7. Suppose -m = -4*v - 6. What is the remainder when v is divided by 34?
6
Let v(j) = -j**3 - 5*j**2 + 13*j - 2. Calculate the remainder when v(-9) is divided by (1/(-4))/(-3 - (-550)/184).
21
Suppose -4*y + 392 = -2*a, 5*a = 3*y + 2*a - 288. Suppose 4*j = o - y, j = -o + 93 - 18. What is the remainder when 80 is divided by o?
0
Suppose -4*n = -h + 22, -17 = h - 2*h - n. Let t = h - 13. Let p(l) = l + 12. Calculate the remainder when t is divided by p(-10).
1
Suppose 4*w = 3*i + 88, 166*i = -4*w + 131*i - 216. Let k(v) = 3*v**2 - 3. Calculate the remainder when k(-5) is divided by w.
8
Suppose 35 = 17*t - 12*t. Suppose -8*s + 15*s = 140. What is the remainder when s is divided by t?
6
Suppose 5*n - 3*h = 28, -3*n + 5*h + 12 + 8 = 0. What is the remainder when -4*474/(-24) + n is divided by 23?
15
Let s = -12605 - -13266. What is the remainder when s is divided by 98?
73
Let l(i) = 2*i**2 - 22*i - 702. Calculate the remainder when 499 is divided by l(-17).
249
Let r(y) = y**3 - 15*y**2 + 18*y - 17. Let g be r(14). Suppose 0 = 5*k - g + 184. Calculate the remainder when 52 is divided by k/(-5) + 1/5.
4
Let o(a) = -a**3 + 7*a**2 - 6*a + 6. Calculate the remainder when (344/(-516))/((-1)/153) is divided by o(5).
24
Suppose 2*t + 1106 = 3*r, 4*t - 580 - 152 = -2*r. Let j = r + -355. Let s(q) = -q - 2. What is the remainder when j is divided by s(-7)?
3
Suppose -3*j = 5*p - 63, -2*p - 3*p - 5*j + 55 = 0. Suppose 0 = 3*k + p, k - 9 = 4*b - 34. What is the remainder when 19 is divided by b?
4
Let r = 12499 - 12452. Calculate the remainder when 6438 is divided by r.
46
Calculate the remainder when ((-612)/255)/(4/(-90)) is divided by 1/(-4) - (-135)/12.
10
Let a = 579 - 575. Suppose 11*k = 5*r + 15*k - 1095, -a*r + 875 = 3*k. Calculate the remainder when r is divided by 31.
29
Let j(d) = d**2 + 9*d - 6. Let t be j(-7). Let v(x) be the second derivative of -5*x**3/6 - 35*x**2/2 + 914*x. What is the remainder when v(t) is divided by 22?
21
Let s(u) = 3*u - 2. Let y be (7/2 - 2)/(36/48). Calculate the remainder when 37 is divided by s(y).
1
Suppose 1276*w = 1282*w - 1116. Suppose 0 = 3*v + 2*h - w, 0 = 4*v - 2*h + 3*h - 248. What is the remainder when v is divided by 7?
6
Let q = 7 - -12. Let y(c) be the first derivative of 25*c**2/2 - 15*c + 33. What is the remainder when y(2) is divided by q?
16
Suppose 0 = -i + 5*q + 160, 3*i - 2*q - 2*q = 491. Suppose 38 = 29*z - i. What is the remainder when 47 is divided by z?
5
Calculate the remainder when 4572/(30/(-5)*(-3)/9) is divided by 16.
14
Suppose -4*q + u = -457, 217 = 5*q + 3*u - 350. Let i = 2728 + -2698. What is the remainder when q is divided by i?
24
Let o = 163 + -126. Let g(l) = l**3 - 8*l**2 + 7*l + 1. Let m be g(7). Let q(y) = 70*y**3 + 2*y**2 - 2*y + 1. Calculate the remainder when q(m) is divided by o.
34
Suppose 76*z - 71*z + 5*p = 1840, 0 = 4*z + 3*p - 1470. What is the remainder when z is divided by 165?
36
Let k be 1554/555*-50*(-1)/1. Suppose -k*u + 149*u = 387. What is the remainder when 173 is divided by u?
1
Let b(p) = -p**2 + 109*p - 2759. Calculate the remainder when b(68) is divided by 15 + (8/(-4) - -6).
10
What is the remainder when (0 + -2)/(13788/(-1722) + 12 + -4) is divided by 108?
71
Suppose 62*o - 59*o = 54. Calculate the remainder when 43 is divided by o.
7
Calculate the remainder when (-882)/378*(7596/(-28) - -3) is divided by 152.
18
Suppose 0 = -15*k - 733 + 1213. Calculate the remainder when 244 is divided by k.
20
Calculate the remainder when 992 is divided by (-12)/40 + 186/(-21)*1932/(-240).
69
Let v(w) be the first derivative of w**2/2 - w + 6. Suppose 90 = 6*k - 0. Calculate the remainder when k is divided by v(5).
3
Let v = -81 + 94. Let w = 17 - v. Suppose -17*i - w*d + 68 = -14*i, 2*d = -4*i + 74. What is the remainder when 61 is divided by i?
13
Suppose -d = -5*z + 21, 3*d + 0 + 3 = -5*z. What is the remainder when 91 is divided by (-265)/d + (-9)/54?
3
Suppose -r + 4*r + 3*z = 0, -4*r - 3 = 5*z. Suppose -2*a - r*n = -23, 0 = -a + 4*n + 23 - 6. Calculate the remainder when a is divided by 11.
2
Let t(y) = -170*y - 269. What is the remainder when t(-7) is divided by 114?
9
Let t(o) = 9*o**2 - 29*o - 13. Let r be t(3). Let y(v) = 5*v + 124. What is the remainder when y(r) is divided by (4/(-6))/(1/(-12))?
5
Let c(f) = 21*f**2 - 3*f + 2. Let g(p) = -513*p + 3597. What is the remainder when c(2) is divided by g(7)?
2
Let m be -4 - -2 - (-1 + -3). Suppose -67 + 257 = m*z. Calculate the remainder when (z/2)/(7/14) is divided by 25.
20
Let g = 34294 + -30334. Calculate the remainder when g is divided by 396.
0
Let b(y) = -3*y + 14. Let r be b(-5). Suppose 3*q + 171 = -3*n, 3*q + 149 = 4*n - r. Let j = 71 + q. What is the remainder when j is divided by 8?
5
Suppose 0 = -2*h + j + 57, -14 = -2*h - 3*j + 39. What is the remainder when 1/(-6) - ((-661)/4)/(123/82) is divided by h?
26
Let q(h) = 13*h + 110. What is the remainder when 73 is divided by q(-7)?
16
Let i(l) = -l**3 + 8*l**2 - l + 10. Let m be i(8). Let v(y) = 26*y**2 + 9*y - 13. Calculate the remainder when v(m) is divided by 22.
21
Let o = -115 - -122. Suppose 83 = -6*k + o*k + 5*v, -4*k = -5*v - 307. Calculate the remainder when 306 is divided by k.
72
Suppose -18*p = -17*p - 16. Let z = -255 - -361. Let u = z + -27. What is the remainder when u is divided by p?
15
Let z(v) = 24*v + 1. Let