0. What is the remainder when v is divided by 31?
29
Let v(n) = n**3 + 15*n**2 + 11*n - 28. Let k(p) = -p - 3. Suppose 0 = -4*q - 4*f - 44 - 0, -5 = q - f. Calculate the remainder when v(-14) is divided by k(q).
4
What is the remainder when 1*(41 - 0/1) is divided by 6/(-9) - (12/9 + -11)?
5
Let b = 28 - 21. Suppose f - 14 = -98*k + 99*k, 3*k + 15 = 0. Calculate the remainder when f is divided by b.
2
Let n = 512 - 788. Let t = 301 + n. What is the remainder when 185 is divided by t?
10
Let g = 3142 - 3101. What is the remainder when 2700 is divided by g?
35
Let o(l) = l**3 - 28*l**2 + 28*l + 112. Calculate the remainder when 4308 is divided by o(27).
138
Suppose 0 = -64*j - 168082 + 201959 + 230763. What is the remainder when j is divided by 44?
43
Suppose -35*b = -3*t - 39*b + 154, 4*t - 182 = -2*b. Suppose 2*h - 2*w = 7*h - 597, w + 4 = 0. What is the remainder when h is divided by t?
37
Suppose -3*x + 25*q = 20*q - 2564, 0 = 5*x + 3*q - 4364. What is the remainder when x is divided by 430?
8
Let n(p) = -p**3 + 54*p**2 + 54*p + 66. Let k(y) = 14*y**2 - 5. What is the remainder when k(2) is divided by n(55)?
7
Let k = -333 - -333. Let x(v) = -v**2 + 46*v + 119. What is the remainder when x(k) is divided by 33?
20
Let f = 37 + -32. Suppose -2*m = -3*i - 7*m + 3, 5*m = f*i - 45. Let q(s) = 4*s + 37. What is the remainder when q(i) is divided by 32?
29
Let y = 8005 - 7563. Calculate the remainder when y is divided by 158.
126
Let t(y) = -y**3 + 23*y**2 - 83*y - 284. What is the remainder when 262 is divided by t(10)?
76
What is the remainder when 3498 is divided by 15851/786 - 4/(-4)*(-1)/6?
18
Suppose -3*y = d + 3 - 6, 2*d - 30 = 2*y. Let g(h) be the first derivative of -h**2/2 + 17*h + 6. Calculate the remainder when g(-6) is divided by d.
11
Let v(j) = 220*j + 1729. Calculate the remainder when v(-6) is divided by 84.
73
Let x = -428 + 432. Let j(y) = -3*y + 38. Calculate the remainder when j(x) is divided by 12.
2
Suppose 2*d = -r - 4, 26*r = 25*r - d. Suppose -3*g + 67 = -2*g + 4*k, -r*g + 4*k = -208. What is the remainder when g is divided by 14?
13
Let k(a) = -74*a + 26. Let x be k(14). Let q be 1/(-3) - (x/15 - 2). Suppose 19*u - 22*u = -q. Calculate the remainder when 68 is divided by u.
22
Let t(x) = x**3 - 6*x + 1. Let b be t(-3). Suppose -13 = -0*s - s. What is the remainder when s is divided by (b + 12)*(0 - -2)?
5
Let p = 11 - 7. Suppose -3*k = -p*k + 4. Suppose -2*t = -k*a - 86, 6*t - t = 2*a + 247. Calculate the remainder when t is divided by 18.
15
Let f = -283076 - -283134. Let l(c) = 6*c**2 - 4*c - 12. Calculate the remainder when l(-8) is divided by f.
56
Let k be (300/(-2))/((60/16)/5). Let q = -161 - k. Let i = -18 - -28. What is the remainder when q is divided by i?
9
Suppose 91*h - 204*h = -4633. Calculate the remainder when 6353 is divided by h.
39
Suppose 33*s - 10589 + 788 = 0. Calculate the remainder when s is divided by 185.
112
Let b(c) = 25*c**2 + 83*c - 2. What is the remainder when 982 is divided by b(-4)?
58
Suppose 0 = 19*i + 5817 + 3797. Let p = i + 578. What is the remainder when p is divided by 36?
0
Suppose -3 = 5*d + 2, -a + 5 = -2*d. Suppose 5*q + 6*w - 28 = a*w, -2*q = -w - 20. What is the remainder when 119 is divided by q?
7
Calculate the remainder when -2*(4494/(-4) + 11) is divided by 124.
117
Let f = 10283 - 10156. Calculate the remainder when f is divided by (3 - -29 - -1) + 3.
19
Let m(t) = -7*t + 72. Let x be m(-8). Suppose -3*k + 81 = -3*u, -5*k - 21 = 2*u - x. Let c = -18 - -30. Calculate the remainder when k is divided by c.
11
Let c = -46 + 48. Suppose -7*u = -c*u + 24955. What is the remainder when (-4 - u/77) + 2/11 is divided by 7?
5
Let y = 53 - 45. Let c(r) = r + 36. Suppose -3*v + 8 = -7, -50 = 5*l + 5*v. Calculate the remainder when c(l) is divided by y.
5
Let m(y) = -9*y**3 - y - 1. Suppose -5*h - p + 573 = 0, 3*h - 536 = p - 189. Calculate the remainder when h is divided by m(-1).
7
Suppose -184*s + 87*s = 174*s - 12195. What is the remainder when 267 is divided by s?
42
Let b = -194 - -194. Suppose 5*f = f + 4, 3*z + 5*f - 74 = b. Calculate the remainder when z is divided by 16.
7
Let k(m) = 65*m - 55. Let h be k(3). Suppose 0 = -11*q + 16*q - h. Calculate the remainder when 195 is divided by q.
27
Let o be (-1 + -1)*1160/80. Let m = 7 + 81. Let j = o + m. Calculate the remainder when j is divided by 13.
7
Let s be (-1)/(5/150*-2). Suppose -3*a + 4*g = 13, -7*g + s = -5*a - 2*g. Let n(l) = 24*l**2 + l - 1. Calculate the remainder when n(a) is divided by 14.
10
What is the remainder when 57 is divided by ((-75)/(-30))/(155/210 + (-8)/14)?
12
Let i = 999 - 641. Calculate the remainder when i is divided by 122.
114
Suppose -154 = -4*r - p, 3*r + 26*p = 23*p + 120. What is the remainder when r is divided by (-3 + 26 + -3)/2?
8
Suppose -2*g + 258 = 4*s - 4*g, -3*s = 2*g - 218. What is the remainder when s is divided by 5?
3
Let y(o) = -o**3 + 3*o - 22. Let r be y(0). Let j = 10 - r. Suppose -2*c + 626 = 4*p - 3*c, -2*c + 789 = 5*p. Calculate the remainder when p is divided by j.
29
Suppose -4*s = -2*u - 118, -s + 2*u + 12 = -2*u. What is the remainder when 448 is divided by s?
0
Let m(i) = 15*i**2 - 2*i - 2. Suppose 5*b = 4*f - 13, 0*f - 8 = -4*f. Calculate the remainder when 74 is divided by m(b).
14
Let o be 12/(-8)*(-6)/(-9). Let i(p) = -61*p - 7. What is the remainder when i(o) is divided by 12?
6
Let y = 18472 - 17994. Calculate the remainder when y is divided by 43.
5
Suppose -4780 - 840 = -20*v. Let u = v + -167. Calculate the remainder when u is divided by 35.
9
Suppose 363 = 20*y - 757. Calculate the remainder when 2181 is divided by y.
53
Let u be ((-20)/30)/(3/(-45)*1). What is the remainder when 296 is divided by (3 + -5)*(-4 - 95/u)?
26
Suppose -3*d + 3*m = m - 13, d + 9 = -2*m. Suppose 21*t - 24*t + 81 = 0. What is the remainder when t + 3 + -2 - d is divided by 14?
13
Let a(k) = k**2 - 118*k + 2207. What is the remainder when 5073 is divided by a(95)?
13
Suppose -5*p + 60 = 5. Suppose 529 + 91 = 5*a. Suppose -5*r + 141 = -a. What is the remainder when r is divided by p?
9
Let m(q) = 65*q + 1546. Calculate the remainder when 17629 is divided by m(-22).
113
Let p be (18/15)/((-6)/20). Let v(s) = -s**2 - 5*s. Suppose 2*m + 1 = 3*f - 5, 5*f - 4*m = 8. Calculate the remainder when v(p) is divided by f.
0
Suppose -5*x + 6 = 2*o, 3*o - 7*x + 3*x - 32 = 0. Suppose -6*z + o*z = 38. What is the remainder when z is divided by (-18)/(-33) + 936/99?
9
Let f(j) = j**3 + 42*j**2 - 45*j - 59. Suppose 4*s - 16 = 0, 5*c + s - 29 = -0*s. What is the remainder when f(-43) is divided by c?
2
Suppose -2*k + n + 3459 = 0, 0 = k + 16*n - 19*n - 1747. Calculate the remainder when k is divided by 16.
14
Let f(m) = -7*m**3 - 34*m**2 + 2*m + 23. What is the remainder when 61 is divided by f(-5)?
23
Suppose -2*w + 31 = -j, 2*j + 48 = -w + 4*w. Let d = -124 + 148. Suppose 0 = -0*t + t - d. What is the remainder when t is divided by w?
10
Let g = -2161 + 2290. Calculate the remainder when g is divided by 5.
4
Let m(x) = x**3 - 24*x**2 + 18*x - 324. Calculate the remainder when m(25) is divided by 112.
79
What is the remainder when ((-32)/48)/((-8)/(-8532)*-3) is divided by 57?
9
Suppose -108*q + 6*q = -7*q - 12160. What is the remainder when 1662 is divided by q?
126
Suppose 0 = -3*c + 1106 + 16. Suppose -2*g = -3*d + 20 + 47, d - 13 = 3*g. What is the remainder when c is divided by d?
24
Let h(p) = -p**3 + 41*p**2 - 71*p - 33. Suppose -41*c + 2379 = 20*c. What is the remainder when h(c) is divided by 65?
45
Let k = -9 - -17. Suppose -5*w = 3*n - 25, -w + k = -3*w. What is the remainder when n is divided by (2/8)/((-35)/252)*-5?
6
Let m(r) = 12*r - 102. Suppose -7*v - 55 = -12*v. What is the remainder when 72 is divided by m(v)?
12
Let u(b) = -4*b**2 - 4*b + 17. Let x be u(2). What is the remainder when 1 + x + -1 + 291 is divided by 12?
8
Suppose h - 6*u + 4*u = 8, 0 = -5*h - 3*u + 79. Let n(g) = -g**3 + 8*g**2 + 2*g - 11. Calculate the remainder when n(7) is divided by h.
10
Calculate the remainder when 1637 is divided by ((-1728)/1056)/(12/(-440)).
17
Let d = -434 - -38. Let q = 403 + d. Suppose 195 = 4*i - p, 5*i = i + 4*p + 204. What is the remainder when i is divided by q?
6
Suppose q + 2*j 