
Suppose -204 = -0*q - 6*q + 168. Calculate the remainder when 681 is divided by q.
61
Suppose 168 = -11*p + 15*p. Let v be 0 - (-123)/(-5) - (-4)/(-10). What is the remainder when p is divided by -3 - (v/(-2))/((-1)/2)?
20
Let v(i) = -2*i - 31. Let a(o) = 10*o. Let x be a(-2). Calculate the remainder when v(x) is divided by 15/7 + 4/(-28).
1
Let i(b) = b**3 + 32*b**2 + 44*b - 369. What is the remainder when 488 is divided by i(-30)?
44
Suppose 0 = -8*f + f + 168. Suppose -f*z + 875 = 179. Calculate the remainder when 83 is divided by z.
25
Let t(c) = -4*c - 163. Let d be t(11). Calculate the remainder when 60 is divided by (-18)/d - 410/(-46).
6
Suppose l - 2*f + 7*f = 130, 4*l - 3*f - 474 = 0. What is the remainder when 1438 is divided by l?
118
Suppose 5*u - 45 = 5. Calculate the remainder when (-2189)/597*(-78)/22 is divided by u.
3
Suppose 3*w = -0*w + 2*d + 799, 0 = 5*w + d - 1310. Suppose -43 = -3*f - 5*q, f = -4*q + 1 + 4. Calculate the remainder when w is divided by f.
11
Let z = 36 - -27. Let p(f) = 52*f + 178. What is the remainder when z is divided by p(-3)?
19
Let y(p) = 23*p + 803. Calculate the remainder when 745 is divided by y(-33).
41
Let x(i) = 27*i + 171. Let l be x(-7). What is the remainder when 124 is divided by 11 + (3 - l/(-3))?
4
Suppose 0 = -4*u - 17*b + 18*b + 234, -3*u + 5*b = -167. What is the remainder when 211 is divided by u?
34
Let a = 26619 + -26431. What is the remainder when a is divided by 29?
14
Let r = -1729 + 1766. Calculate the remainder when 332 is divided by r.
36
Let q(o) = 2*o**2 + 315*o + 2276. Let j = 310 - 181. What is the remainder when j is divided by q(-150)?
25
Let w = 112 + -107. Suppose s + 3*s = -3*h + 424, -w*s + 428 = 3*h. What is the remainder when h is divided by 36?
28
Let g(m) = m**2 - m. Suppose 2*d - 4*x = 0, 3*d + 4*x - 5 = 25. Suppose -3*s = -2*t - 346, -3 = 11*t - 14*t. Calculate the remainder when s is divided by g(d).
26
What is the remainder when 558/(-6)*((-23)/(-5))/((-36)/60) is divided by 4?
1
Suppose 1044*s = 1040*s + 20. Let c = -29 + 48. Calculate the remainder when c is divided by s.
4
Let b = -30944 - -31090. Calculate the remainder when 1158 is divided by b.
136
Suppose 5*r + l - 380 = 0, 2*l + 304 = 4*r - 0*l. Suppose -89*m - 4562 = -5007. What is the remainder when r is divided by m?
1
Suppose -992 = 4*b - g + 1420, 5*b + 3030 = 5*g. Let h = b + 714. Calculate the remainder when h is divided by 23.
20
Let c be (-253362)/27 + -5 + (-215)/(-45). What is the remainder when c/(-144) - 1/6 is divided by 34?
31
Let v = 2873 - 2329. Calculate the remainder when v is divided by 15.
4
Let s(v) = v**2 + 46*v - 207. What is the remainder when s(15) is divided by 351?
6
Let l(w) = -5*w**3 - 6*w**2 + 68 + 8*w + 2*w**3 + 2*w**3 - 224 + 29*w**2. Calculate the remainder when l(23) is divided by 20.
8
What is the remainder when 531 is divided by ((-9)/6*-3)/((-22)/(-132))?
18
Suppose 132*r - 256*r = -138*r + 574. What is the remainder when 327 is divided by r?
40
Suppose 14 = 3*g + 5*o - 128, 3*o = 15. Calculate the remainder when 505 is divided by g.
37
Suppose -h - 427 = -2*k, -4*k + 610 = h - 259. Suppose 5*x - 1164 = 4*z - 142, x + 5*z = k. What is the remainder when x is divided by 42?
38
Let d = 13034 - 13012. Let x(l) = -12*l - 1. What is the remainder when x(-5) is divided by d?
15
Let m be 2*5/10 - -10. Let c be m/6 + 1/6. Suppose 5*z - c = -h, -4*h + 21 = 3*z - 38. Calculate the remainder when 151 is divided by h.
15
Let p = 19449 + -19378. What is the remainder when 640 is divided by p?
1
Let w(z) be the third derivative of z**6/60 - 7*z**5/30 - 11*z**4/24 - z**3 - z**2 + 32*z. Calculate the remainder when 131 is divided by w(8).
29
What is the remainder when 935 is divided by (-3925)/(-10)*(-44)/(-110)?
150
Suppose -100 - 458 = 5*m - 4*p, -2*m = p + 231. Let w = m - -129. Calculate the remainder when 505 is divided by w.
10
Suppose 0 = -b + 8 + 7. Suppose -4*x + 898 = -5*t + 7*t, -4*x + 868 = -4*t. What is the remainder when x is divided by b?
12
Calculate the remainder when 5095/15 + 68/(-102) is divided by 51.
33
Suppose u = 10 - 8, -4*u = l - 517. Calculate the remainder when l is divided by 6.
5
Suppose 13*l - 12*l - 570 = -5*i, 4*i = -7*l + 394. Let x(u) = -u**3 - u + 15. What is the remainder when i is divided by x(0)?
11
Let r(a) = a**3 - 10*a**2 - a + 13. Let q be r(10). Suppose q*j - 6 = -2*s + 13, j = -1. Calculate the remainder when 75 is divided by s.
9
Suppose 0 = -0*u - u + 15. Suppose -43 + u = o. Let t = 6 - o. Calculate the remainder when t is divided by 19.
15
Let i = 16 - 9. Suppose i*z + z = -5*z. Suppose z = -3*s + 20 + 7. What is the remainder when s is divided by 5?
4
Suppose 0 = -18*f - 1457 + 251. Let b = f + 86. Calculate the remainder when 50 is divided by b.
12
Let t(q) = q**3 + 5*q**2 - 9*q + 14. Let u = 17 - 13. Let s be t(u). Suppose -s = 6*v - 8*v. Calculate the remainder when v is divided by 32.
29
Let p(b) = 140*b - 285. Let n be p(9). Suppose 4*f - 169 - 632 = -3*x, -5*f + 5*x = -n. Calculate the remainder when f is divided by 34.
28
Suppose 0 = 5*t + 6*t + 44. Let s(r) = 3*r + 14. Let u be s(t). Suppose -c = v - u*v - 13, 3*v + 23 = c. Calculate the remainder when 69 is divided by c.
5
Let h be 8/12*(50 - -1). Suppose -16*r - h*r + 1500 = 0. Calculate the remainder when 230 is divided by r.
20
Let z(c) = c**3 - 12*c**2 + 3*c - 30. Let t be z(12). Let s(d) = d. Let f(n) = 4*n - 13. Calculate the remainder when f(9) is divided by s(t).
5
Let j = -2606 + 2666. Calculate the remainder when 80 is divided by j.
20
Suppose -13*c + 20*c - 14 = 0. Suppose -c*w = w - 9. Suppose d = 2*p - 216 + 47, p - 74 = -w*d. Calculate the remainder when p is divided by 29.
25
Let w be 39/(-6)*(5 - 21). Suppose 0 = 4*j - j, -w = 2*d - 5*j. What is the remainder when (6/(-12))/(-2*(-1)/d) is divided by 10?
3
What is the remainder when ((-7 + 4882/(-12))*-2)/((-3)/(-9)) is divided by 156?
143
Suppose -3*b - 2179 = -5*s + b, -2*b - 1748 = -4*s. Let r(k) = k - 70*k**3 + 440*k**2 - 32*k**3 - s*k**2. What is the remainder when r(-1) is divided by 13?
11
Let u(a) = -a**2 + 8*a - 3. Suppose -6*x + 12 = -2*x. Let f be u(x). Calculate the remainder when ((-16)/f)/4 + (-46)/(-3) is divided by 8.
7
Let h(o) = o**3 + o**2 + o + 3. Let a(q) = -4*q**3 + 5*q**2 + 5*q + 15. Let v be a(4). Let g = v - -152. Calculate the remainder when g is divided by h(0).
2
Let f(j) = -j**3 + 16*j**2 - 57*j + 36. Let r be f(11). Let i = 26 - 5. Suppose 0 = -r*o + i*o - 1015. Calculate the remainder when o is divided by 7.
5
Suppose 14*c = -0*c + 70. Suppose y = -c*p + 2*y + 105, -4*y = p. Calculate the remainder when 70 is divided by p.
10
Suppose b = -3*o + 23, -5*b + 85 = -b + 5*o. Suppose 0 = 5*z + 2*f - 32, 3*z + b = 5*z - f. Calculate the remainder when 13 is divided by z.
5
Let g(o) = o**2 + 7*o + 17. Let k be g(-4). Suppose -17 = -2*x + 2*r + 43, k*r - 114 = -3*x. Calculate the remainder when x is divided by 21.
12
Let k = 4412 - 4351. What is the remainder when k is divided by (-2)/7 + (-657)/(-21)?
30
Suppose -180 = -22*x + 13*x. Suppose -3*c - x = -2*v + 20, 3*v = 3*c + 63. Let k = -99 + 234. What is the remainder when k is divided by v?
20
Suppose 5*x + 225 = -540. Let y = 264 + x. Calculate the remainder when y is divided by 24.
15
Let h be (147/28)/((-6)/(-424)). Calculate the remainder when (4 - (h - -11))/((-2)/3) is divided by 8.
7
Let x(o) = -2*o - 89. Let s be x(-17). What is the remainder when ((-418)/s)/(2/85) is divided by 27?
26
Suppose -158*o = -154*o - 840. Calculate the remainder when o is divided by 56.
42
Calculate the remainder when 803 is divided by (-39)/(-2)*(12/18 - 0).
10
Suppose -m = -0*t + 2*t + 4, -5*t + 10 = 0. Let n(r) = -5*r - r + 8*r**2 + r + r**3 + 15. What is the remainder when n(m) is divided by 14?
13
Calculate the remainder when 2145 is divided by 16/120*195 + 86.
17
Let u(k) = k**2 + 134*k - 8454. What is the remainder when u(-181) is divided by (2/5)/(1/25)?
3
Let i be (-3)/(3/(-11)) + 11 + -7. Suppose 40 = -i*l + 17*l. What is the remainder when 58 is divided by l?
18
Let w(f) = -f**3 + 1. Let l be w(0). Let c = l + 7. Suppose -766 = -23*d - 421 + 667. What is the remainder when d is divided by c?
4
Let h be 225/(-36) + (-15)/(-12). Let