et c(r) = -r**2 + 2*r - 1. Let q be c(a). What is the remainder when q/4 - -2 - -42 is divided by 7?
5
Let n(b) = b**3 - 25*b**2 + 105*b - 53. What is the remainder when n(21) is divided by 44?
36
Let o = -114 + 123. What is the remainder when 32 is divided by o?
5
Suppose -43 = -4*l - 35. Suppose -l*n + 50 = 3*n. Calculate the remainder when 26 is divided by n.
6
Suppose -4*l - 2*a - 96 + 350 = 0, 2*a = -5*l + 319. Suppose -2*i = -5*i + 51. What is the remainder when l is divided by i?
14
Calculate the remainder when (-1 + 0)/(((-16)/214)/8) is divided by 55.
52
Let s be (9/4)/((-1)/(-4)). Suppose -24 + 80 = 8*b. Let n = b + s. Calculate the remainder when 78 is divided by n.
14
Suppose 3*d = -3*s, 2*s + 12 = 2*d - 8. Let z = 169 - 113. Suppose -2*c + 6*b + 12 = 3*b, 0 = -3*c - d*b + z. Calculate the remainder when c is divided by 8.
4
Let k = -1936 + 1948. What is the remainder when k is divided by 158/14 - (-4)/(-14)?
1
Suppose 42 + 16 = u. Calculate the remainder when u is divided by 38.
20
Let a(c) = c**3 + 5*c**2 - 33*c - 44. What is the remainder when 388 is divided by a(-8)?
24
Let v = -10 - -36. Suppose -5*y + v = -59. What is the remainder when 56 is divided by y?
5
Let h(v) = v**3 - v - 12. Let b be h(0). Let c = b - -45. Calculate the remainder when c is divided by 18.
15
Let p(w) = w**3 - 5*w**2 - 6*w + 2. Let v be p(6). Let c be (2 - 2)/(3 - v). Calculate the remainder when 45 + c + (-6)/(-3) is divided by 12.
11
What is the remainder when -4 + -2*-6*12 is divided by 6?
2
Suppose 5*x = -2*g + 42, -4*x + 2*g = -0*x - 30. Let h(t) be the second derivative of 7*t**3/6 - 3*t**2 + 2*t. What is the remainder when h(x) is divided by 17?
16
Let q(j) be the first derivative of j**3/3 + j**2/2 - 6*j - 16. What is the remainder when q(4) is divided by 4?
2
Let i = 18 + -11. Let k(r) = 3*r + 32. Let h = -22 - -15. What is the remainder when k(h) is divided by i?
4
Let z(v) = -v**2 + 6*v + 215. Calculate the remainder when 78 is divided by z(-11).
22
Calculate the remainder when 153 is divided by (6 + (-490)/(-5))/2 - 3.
6
Suppose -1 = -3*u - 34. Let b = u - -23. What is the remainder when 8 is divided by b - 9 - (-3)/1?
2
Let x(d) = 2*d**3 - 4*d**2 - d. What is the remainder when 64 is divided by x(3)?
4
Let h = 538 - 378. Calculate the remainder when h is divided by 9.
7
Suppose -z - z = -28. Let q = -2455 - -2460. What is the remainder when z is divided by q?
4
Let i be (-1*(20 - 7))/(2/(-10)). Let r = 73 - i. Calculate the remainder when 21 is divided by r.
5
Let o(v) = 25*v - 84. Calculate the remainder when 398 is divided by o(4).
14
Let w(i) = -i**3 - 6*i**2 + 6*i + 1. Let n = 6 + -17. Let y = -18 - n. What is the remainder when 29 is divided by w(y)?
5
Suppose y - 100 = -5*b, -2*y + 104 = 4*b + 24. Let t(c) = -c**3 - 10*c**2 - 13*c + 1. Let k be (-3)/1*(0 - -3). What is the remainder when t(k) is divided by b?
17
Let m(g) = g**3 + 10*g**2 + 13*g + 17. What is the remainder when m(-7) is divided by 22?
7
Suppose 3*h + 5*x - 68 = 0, h + 5*x + 37 = 3*h. Suppose 0*i = 3*i. Suppose i = f + 3*f - 160. Calculate the remainder when f is divided by h.
19
Suppose -5*d + 0*d = -205. Suppose 11*g - 604 = 1035. Suppose 0 = -2*q - d + g. Calculate the remainder when q is divided by 11.
10
Suppose 0 = 3*p + 15, -f + 0*f + 3*p + 27 = 0. Let n = 33 + -6. What is the remainder when n is divided by f?
3
Suppose o = -5*i + 172, -158 = -3*o + 2*o + 2*i. Calculate the remainder when o is divided by 83.
79
Let i(v) be the second derivative of -v**3/6 + 9*v**2/2 + 6*v. What is the remainder when 6 is divided by i(4)?
1
Let z(x) = -110*x + 2. Let g(k) = -219*k + 4. Let j(q) = -6*g(q) + 11*z(q). What is the remainder when j(1) is divided by 21?
18
Let u(o) = -o**3 - 10*o**2 - 11*o - 7. Let n(i) = i**2 - 8*i + 3. Let v be n(6). Suppose 0 = -13*b - 8 + 99. Calculate the remainder when u(v) is divided by b.
4
Let u = 103 - 68. Suppose -2*s - s = 4*w, 5*w = -5*s. Suppose s = -6*k + k + 95. Calculate the remainder when u is divided by k.
16
Suppose -5*t - f + 39 = 2*f, 3*f = 3*t - 33. Suppose -6 = -2*n - 4*h, 0*h - t = 5*n + 2*h. Calculate the remainder when -1*2 + n + 15 is divided by 6.
4
Let f(k) be the first derivative of -5 - 4*k + 4/3*k**3 + 1/4*k**4 - 5/2*k**2. Calculate the remainder when 61 is divided by f(-4).
13
Let i(t) = 4*t**2 - t**3 + 0*t**3 - 4 + 3*t**2 + 4*t - 2*t. Let w be i(6). Suppose -3*h + w + 301 = 0. Calculate the remainder when h is divided by 29.
28
Let h be (0 - -452)/(4 - 2). Suppose -5*u + h + 389 = 0. What is the remainder when u is divided by 14?
11
Let h = 2 - -488. Calculate the remainder when h is divided by 62.
56
Let b = 282 + -178. Calculate the remainder when b is divided by 55.
49
Let x = -1135 + 1159. What is the remainder when 276 is divided by x?
12
Let q(h) = h**2 - 5*h + 2. Let t be q(5). Let d(o) = o**2 + 2*o - 1. Calculate the remainder when 736/(-120) + 6 - 321/(-45) is divided by d(t).
0
Let c(b) = 2*b - 1. Suppose 14 = 3*o + 8. Suppose o*k + 6 = 5*k. What is the remainder when 5 is divided by c(k)?
2
Suppose 0 = -s + 5*a + 10, 4*s + 1 - 23 = 2*a. Calculate the remainder when 52 is divided by s.
2
Let f be (3/2)/((-72)/(-12))*628. Suppose -f + 1 = -4*w. What is the remainder when w is divided by 22?
17
Suppose -d = 4*g - 406, d - 1 = -3*g + 410. Calculate the remainder when d is divided by 72.
66
Let r(l) = 8*l + 76. Calculate the remainder when 139 is divided by r(-9).
3
Suppose -5*i = -873 - 172. Calculate the remainder when i is divided by 42.
41
Suppose 4*w - 3*r - 456 = 0, 349 = -6*w + 9*w - 4*r. What is the remainder when w is divided by 20?
11
Let y(h) = h**3 - 8*h**2 - 21*h + 8. Let n be y(10). What is the remainder when 39 is divided by n*3/(9/(-12))?
7
Let z(n) = -n**3 - 18*n**2 - 21*n - 22. Calculate the remainder when 177 is divided by z(-17).
39
Let d be -3*(1 + (-10)/6). Suppose -d*o = -2, -o - 12 = -5*b + 2*o. Suppose -5*y + 9 = n - 4, n + b*y = 11. What is the remainder when 30 is divided by n?
6
Let p = 30 + -32. What is the remainder when 32 is divided by (13 - (-1 + 2 + -1)) + p?
10
Suppose -3*u + 6 = 3*t, 4*t = -4*u + 3*u - 1. Let p(f) = -f**3 - f**2 - f + 35. Calculate the remainder when p(0) is divided by 1*(23 + 4)/u.
8
Let n = 66 + -1. Let y be (5/5)/((-2)/(-14)). Let r(s) = s**2 - 4*s + 1. What is the remainder when n is divided by r(y)?
21
Let x(o) = 3*o**3 + 5*o**2 - 4*o - 8. Suppose -4*c = 4*m - 28, 4*m - 4*c - c + 8 = 0. Calculate the remainder when x(m) is divided by 28.
22
Let r = -17 + 116. Calculate the remainder when 195 is divided by r.
96
Suppose -8 = 3*a + 4*x, 2*a + 2*x + 20 = 3*x. Calculate the remainder when ((-4)/a)/((-1)/(-86)) is divided by 22.
21
Let w(o) = o**3 + 12*o**2 + 7*o - 3. Let l be w(-11). Let b = -14 + l. Let q = b + -26. Calculate the remainder when q is divided by 1.
0
Let j = 15 - 104. Let f = j + 158. Calculate the remainder when f is divided by 12.
9
Suppose 6*v = 48 + 420. Calculate the remainder when 109 is divided by v.
31
Suppose -49 = -3*g - 4. Let k(m) = 10*m - 8. What is the remainder when k(4) is divided by (-652)/(-60) - (-2)/g?
10
Let i(z) = -z**3 + 6*z**2 + 69. Calculate the remainder when i(0) is divided by 8.
5
Let j(z) = -z**2 - 5*z + 2. Suppose -17*d + c = -15*d - 88, 2*c - 193 = -5*d. What is the remainder when d is divided by j(-4)?
5
Let i be (-2 + 1)*(-3 + 0). Suppose -i*p - 17 = -4*g, 0*p + 4*p + 1 = g. What is the remainder when (-38 - p)*(-24)/36 is divided by 9?
8
Calculate the remainder when ((90/(-20) - -2) + (-1)/(-2))*-44 is divided by 1/((-1)/(-32)) + -1.
26
Suppose -n - 4 = -2*n. Suppose -5*b + 17 = -n*b. What is the remainder when 29 is divided by b?
12
Suppose 0 = 3*y - r - 43, -2*r - 55 = -4*y + 5. Let x = -18 + 11. Calculate the remainder when (-4)/x - 1038/(-21) is divided by y.
11
Suppose 3*k - 81 = -9. Calculate the remainder when 599 is divided by k.
23
Let a = -1 - -10. Let x = 15 - a. Suppose 3*j = x + 15. What is the remainder when 27 is divided by j?
6
Suppose 2*d - 2 = 2. Suppose d*l - 3*l + 8 = 0. Suppose -10*h + 5*h - 15 = 0, 0 = n - 4*h - 43. Calculate the remainder when n is divided by l.
7
Suppose -5*s - 7 - 17 = -z, 5*s = 5*z - 40. Calculate the remainder when 32 is divided by -12*z/(-16) + 3 + 1.
4
Let m(y