ainder when 5416 is divided by k(-4).
4
Suppose 0 = -5*q - 0*q + 3*t + 7, -5*q - 3*t = -13. Let j be -3 - (q - 21/3) - -2. What is the remainder when 26 is divided by 4*17/j*1?
9
Let y = -543 + 519. Calculate the remainder when 54 is divided by ((-30)/(-4))/((-2)/y*3).
24
Suppose -205*s = -199*s - 21024. Suppose 14*n - s = 6*n. What is the remainder when n is divided by 8?
6
Let v = 798 + -426. Suppose -4*f + 2*d = -366, 19 + v = 4*f + 3*d. What is the remainder when f is divided by 21?
10
Suppose 0 = -2*t - 5*v + 214, 0 = -4*t + 4*v + 159 + 213. Calculate the remainder when 111 is divided by t.
14
Suppose -248*w = -217*w - 8339. What is the remainder when w is divided by 68?
65
Let z be (-3)/(-6)*(9 - 3). Suppose -105 = -z*w - 12. Let m = 8 - -146. Calculate the remainder when m is divided by w.
30
Suppose 4*r - 2*a = 1248, -6*a + 5*a = 2*r - 624. Calculate the remainder when 626 is divided by r.
2
Suppose 2*t - 4*s - 32 = 0, -3*s = t - 5 - 6. Suppose n = -4*u + 4 + 31, t = u - 5*n. Suppose -25*y + 883 = 233. Calculate the remainder when y is divided by u.
8
Suppose 497 = -0*r - 7*r. Let m = r - -94. Suppose 0 = 21*c - m*c + 50. Calculate the remainder when c is divided by 15.
10
Let t(n) = -88*n**2 - 8*n - 6*n + 9 - 4*n + 89*n**2. Calculate the remainder when 167 is divided by t(0).
5
Suppose 0 = -3*z - 45*q + 50*q + 12, -z - 3*q + 32 = 0. What is the remainder when 6859 is divided by z?
13
Let k(v) = 2*v**2 + 3*v - 12. Let s be (-8)/10 + 423/(-15). Let c = s + 23. What is the remainder when k(c) is divided by 15?
12
Suppose -20*r + 51 = -249. What is the remainder when 6/39 - (-921)/13 is divided by r?
11
Suppose -3*s - 5*a = -890, -s - 15*a + 20*a = -290. Calculate the remainder when 2946 is divided by s.
291
Let d(b) = -b**3 + 3*b**2 + b - 6. Let s be d(0). What is the remainder when 157 is divided by (23 + 12)*s/(-5)?
31
Calculate the remainder when (42/5)/(297/9405) is divided by (-6)/(-4) - 724/(-8).
82
Suppose -43 - 3 = 4*g + 2*s, -g - 2*s = 10. Calculate the remainder when (-4)/(-2) + 5*30 is divided by 70/g*-6 - (3 - -1).
28
Suppose -47*d = 2011 - 3034 - 3865. Suppose 3*j - 120 = -9. What is the remainder when d is divided by j?
30
Let g = 7334 + -7216. Calculate the remainder when 497 is divided by g.
25
Suppose 490 = -33*v + 40*v. What is the remainder when 1/(-5)*-13 + 28/v is divided by 4/(-8) - 5/(-2)?
1
Let o(w) = 14*w - 14. Let j(h) = 9*h - 9. Let m(z) = 8*j(z) - 5*o(z). Let i be m(-2). Let b = 27 + i. What is the remainder when 83 is divided by b?
20
Suppose 0 = -m + 4 - 0. Suppose -m*t + u + 146 = 0, u - 70 = -2*t - 0*u. What is the remainder when 63 is divided by t?
27
Suppose 4*n + 471 = 99. Let h = -22 - n. What is the remainder when h is divided by 28?
15
Let u = -2550 + 3141. Calculate the remainder when u is divided by 11.
8
Let t = -1652 + 2422. What is the remainder when t is divided by 61?
38
Let m(b) = b**3 - 14*b**2 + 2. Let p be m(14). Suppose -f + 6 = p. Suppose 4*r - 45 = -3*u, f*r + 2*u - 19 = 23. Calculate the remainder when r is divided by 5.
4
Suppose 0 = -27*c - 6298 + 20014. Calculate the remainder when c is divided by 35.
18
Let x(k) be the second derivative of -9*k**3/2 - 57*k**2/2 - 31*k. What is the remainder when 188 is divided by x(-3)?
20
Let p = -3909 - -4035. What is the remainder when p is divided by 83?
43
Suppose -m - 2*m - 276 = 0. Let w = m + 108. What is the remainder when 111 is divided by w?
15
Suppose 42*g - 76 = -2*i + 44*g, 5*i - g = 178. Calculate the remainder when 2798 is divided by i.
33
What is the remainder when (1 - 2 - 2) + -76 + 990 is divided by 57?
56
Suppose 148 = 4*n - 0*h - 5*h, 0 = 5*n + 5*h - 140. Let i(d) = 8*d**2 - 6*d + 6. What is the remainder when i(3) is divided by n?
28
Suppose -7*o + 95 = 12*o. Suppose -15 = -u - o*g, -u + 4*g + 32 + 19 = 0. Let q = -189 + 326. Calculate the remainder when q is divided by u.
32
Let k(n) be the third derivative of n**5/60 - 7*n**4/24 + 17*n**3/3 + 76*n**2. Calculate the remainder when 78 is divided by k(5).
6
Suppose 87*i + 14786 - 97871 = 0. Calculate the remainder when i is divided by 29.
27
Let q(u) be the third derivative of 3*u**4/4 - 46*u**3/3 - u**2 - 9. What is the remainder when 52 is divided by q(7)?
18
Suppose 0 = -4*k - 3*j + 2857, -84*k - 698 = -85*k - 4*j. Calculate the remainder when k is divided by 9.
7
Suppose 1789 = -17*i + 67*i + 539. Calculate the remainder when 195 is divided by i.
20
Let q = -51 - -205. Suppose 61*n + q = 72*n. Calculate the remainder when 82 is divided by n.
12
Suppose -33 + 349 = 2*v. Let q(f) = 14*f - 41. Let b(r) = -7*r + 20. Let g(k) = -9*b(k) - 4*q(k). Calculate the remainder when v is divided by g(8).
38
Let v(o) = -o**3 + 6*o**2 - 12*o - 23. Calculate the remainder when v(-7) is divided by 119.
103
Let o(f) = 14*f - 77. Let p = 30 + -22. What is the remainder when o(p) is divided by 9?
8
What is the remainder when 4 - 1442/(5 + -12) is divided by 48?
18
Suppose 0 = -27*b + 103 + 32. Suppose -624 = -2*j - 6*o + 9*o, -b*j + 1538 = -2*o. Calculate the remainder when j is divided by 63.
54
Let k = 113 - 72. Let o be ((-3)/(-1) - 4)/((-2)/22). Suppose 0 = 2*s - o*s + 189. Calculate the remainder when k is divided by s.
20
Let s = -6528 + 16797. What is the remainder when s is divided by 15?
9
Let t(q) = 2*q**2 - q + 3. Suppose -5*i + 2022 = -3*j, -17*i - 4*j + 1592 = -13*i. Let g = i - 335. Calculate the remainder when g is divided by t(3).
13
Let i(o) = o**2 + 37*o - 151. What is the remainder when i(5) is divided by (-3)/(-2) - 105/(-6)?
2
Let c(m) = -m**3 + 7*m**2 + 8*m - 12. Let i be c(6). Let p = -71 + i. Suppose -2*o - p + 15 = 0. What is the remainder when 59 is divided by o?
3
Suppose -s + 140 = 3*j, 7*j = -s + 10*j + 176. Calculate the remainder when 4420 is divided by s.
154
Suppose -6*k = -15*k + 1620. Suppose -30*y = -25*y - k. What is the remainder when 20 is divided by (10/8)/(9/y)?
0
Let g be (1294/8)/((-351)/36 - -10). Let k = g - 568. What is the remainder when k is divided by 25?
4
Let u(o) = 3*o**2 + 2*o - 31. Let y be u(-7). Let a = 186 - y. Let h(c) = c**3 + 16*c**2 + 46*c - 7. Calculate the remainder when a is divided by h(-12).
16
Let b(f) = f**3 + 12*f**2 + 7*f + 90. Let i(r) = -r**2 + r + 17. Calculate the remainder when i(0) is divided by b(-12).
5
Suppose -38*l = 569 + 571. What is the remainder when 489 is divided by l/24*(-33 - -5)?
34
Let l = -173 - 107. Let r = 485 + l. Calculate the remainder when r is divided by 26.
23
Suppose -149*c - 823 = -150*c - 4*n, 5*n = -15. Calculate the remainder when c is divided by 33.
10
Suppose 3*x - 5*t + 131 = 0, -x + t + 107 = -4*x. Let l = x + 41. Calculate the remainder when 58 is divided by -124*(l/(-16) + 0).
27
Suppose -h - c - 51 + 264 = 0, -216 = -h - 2*c. Suppose -h = 19*t - 5*t. Calculate the remainder when (-6*5/t)/((-1)/(-16)) is divided by 13.
6
Let j(i) = -i + 4. Let g be j(12). Let f be (g/(-10 + 6))/((-4)/842). Calculate the remainder when (-1)/6 - f/6 is divided by 15.
10
Let l(n) = n**3 - 17*n**2 + 33*n + 64. What is the remainder when 760 is divided by l(15)?
106
Suppose 2*p - 5*b = 343, 0 = 7*p - 4*p - 3*b - 519. Calculate the remainder when 1937 is divided by p.
23
Let h(r) = -6*r + 3. Let k(j) = j**3 - 24*j**2 + 36*j - 1. Let m be k(23). Suppose m - 46 = 28*w. What is the remainder when h(-5) is divided by w?
6
Let j = 18384 - 18226. Calculate the remainder when 4265 is divided by j.
157
Calculate the remainder when 18 + (-116880)/(-45) + 4/6 is divided by 43.
36
Suppose 0 = j + 4*j - 2*v - 585, 0 = -j - 2*v + 117. Let n(h) = h**3 + 6*h**2 - 17*h + 15. Calculate the remainder when j is divided by n(-8).
2
Let n = -51 + 48. What is the remainder when (-15)/n + (-14 - -79) is divided by 25?
20
Suppose -16*c + 609 - 337 = 0. What is the remainder when ((-1506)/12 + -9)/(1/(-2)) is divided by c?
14
Let r(z) = -z**3 + 66*z**2 + 847*z + 13. Suppose 384 = 4*i - 2*i. Calculate the remainder when i is divided by r(77).
10
Let z(g) = -7*g - 46. Let a be -3 - (2 + -1)/(8/(-56)). Suppose 9*k - 720 = a*k + 4*i, -120 = -k - 4*i. What is the remainder when k is divided by z(-10)?
20
Suppose -2*t + 2096 = -5*k, -4788 = -4*t + 4*k - 584. Calculate the remainder when t is divided by 12.
9
Suppose 4635*b = 4621*b +