
Let c(r) = -r**2 + 9*r + 2. Let x be c(9). Suppose 14 = 3*v - 4. What is the remainder when x/(-13) + (-264)/(-26) is divided by v?
4
Suppose 3 = -w, 35 = -2*i + w + 232. Let r = 1810 - 1785. What is the remainder when i is divided by r?
22
Let j(k) be the second derivative of -k**4/12 - k**3/6 - k**2/2 + 5*k. Let s be j(0). What is the remainder when 58/(-2 - 4/s) is divided by 11?
7
Let c = 148 - 91. Let y = c - 27. Calculate the remainder when 147 is divided by y.
27
Let o(n) = n**3 - 6*n**2 - 2*n + 4. Let a be o(7). Let x be (-2 + 1 - -2)*a. Suppose 0 = 3*d - x - 27. What is the remainder when d is divided by 8?
6
Let b be 0/(-2) + 3 + 0. Let n = b + 0. Let u(i) = 2*i - 6. Calculate the remainder when u(6) is divided by n.
0
Let j(k) = 4*k - 20. Let n be j(5). Suppose n = -2*t - 2*f + 38, -4 = 5*f - 29. What is the remainder when t is divided by 5?
4
Calculate the remainder when (-3 + (-98)/(-42))*(1 + -142) is divided by 83.
11
Let j(g) = 6*g + 3. Let x be (6205/(-20) - 1/(-4))/(-1). What is the remainder when 1/3 - x/(-6) is divided by j(4)?
25
Let r(j) = -7*j + 32. Let z = -140 + 302. What is the remainder when z is divided by r(3)?
8
Suppose 17*m + 3120 = 10175. Calculate the remainder when m is divided by 16.
15
Let o = 13 + -12. Let s be (o + 1)/((-8)/604). Calculate the remainder when s/(-2) + (-2)/(-4) is divided by 13.
11
Let o(l) be the first derivative of l**5/20 + 6*l - 2. Let h(d) be the first derivative of o(d). What is the remainder when 13 is divided by h(2)?
5
Let m be (4/3)/(36/54). Let c be 0/m + -25 + 0. Let w = c - -47. Calculate the remainder when 64 is divided by w.
20
Suppose 0 = -51*h - 0*h + 27387. What is the remainder when h is divided by 12?
9
Let s = 1197 + -1167. What is the remainder when 81 is divided by s?
21
Let y(d) = d**2 + 16*d - 26. Calculate the remainder when 226 is divided by y(6).
14
Let b(u) = 27*u + 1. What is the remainder when 245 is divided by b(3)?
81
Let g = 440 - 416. Calculate the remainder when 141 is divided by g.
21
Let f(a) = a**3 + 4*a**2 + a + 2. Suppose -12 = -4*w, -2*w - 2 = 4*c + 4. Calculate the remainder when 30 is divided by f(c).
6
Suppose -g + o = 20, -6 + 3 = o. What is the remainder when ((-4)/(-12) + g/3)*-9 is divided by 34?
32
Let l(h) = -2*h**2 + 2*h + 1. Let n be l(-1). Suppose -15*v = -340 + 85. What is the remainder when 1/n + (-435)/(-9) is divided by v?
14
Suppose 2*d - 7 = 1. Suppose 15*h - 318 = -33. Calculate the remainder when h is divided by d.
3
Let o = 0 - 1. Suppose -2*n + 2*r = 4*r - 12, 0 = -3*n - 4*r + 20. Calculate the remainder when 14 is divided by o/n + (-189)/(-36).
4
Let v = 6 - 11. Let s be 2/v*(2 + 3). What is the remainder when (-3)/s*(-840)/(-36) is divided by 12?
11
Let r(d) = -d**2 - 21*d + 406. What is the remainder when 489 is divided by r(12)?
9
Suppose 0 = -2*z + 2, 0 = k + 2*z + 3*z - 9. Let g(n) = 5*n**2 - n**3 + 7*n - 5*n + 2*n - 2. Calculate the remainder when g(k) is divided by 16.
14
Let o(r) = r**3 - 2*r**2 - 7*r - 40. Calculate the remainder when o(6) is divided by 21.
20
Let l(k) = -k + 8. Let g be l(4). Let u = g - -11. Suppose -w = 2*w - u. Calculate the remainder when w is divided by 4.
1
Let z = -5 + 10. Suppose 3*c - m - 16 = 41, -z*c - 2*m + 95 = 0. Calculate the remainder when 73 is divided by c.
16
Let u = -62 - -73. Suppose -u*l + 92 = -7*l. Calculate the remainder when l is divided by 6.
5
Suppose -23*r + 3992 = -355. What is the remainder when r is divided by (0 + 2 - 1) + 15?
13
Suppose 2*w - 1072 = -5*k, k - 6*k - 3*w + 1073 = 0. What is the remainder when 861 is divided by k?
5
Let q(x) = 2*x - 11. Let b(i) = 3*i - 17. Let h(g) = -5*b(g) + 7*q(g). Let a be (4 - 6)*(-36)/(-8). Calculate the remainder when h(a) is divided by 6.
5
Suppose -4*p - 4*k = -700, 3*k + 848 = 5*p - k. Suppose 2*u + 137 = 5*n, -1959 = 3*n - 2*u - 2038. Calculate the remainder when p is divided by n.
27
Suppose -68*h + 67*h - 35 = -4*b, -4*b + 20 = 4*h. What is the remainder when 11 is divided by b?
3
Suppose -5*g + g - 4*s + 448 = 0, 4*g - 449 = -5*s. Suppose 4*y = -2*f + 24, 4*y - 72 = -5*f - 0*y. What is the remainder when g is divided by f?
15
Let b(c) = 2*c**3 - 2*c. Let q(l) = -2*l**3 + 8*l**2 + 50*l + 32. What is the remainder when b(2) is divided by q(-3)?
4
Calculate the remainder when 199 is divided by 1120/45 - -1*(-3)/(-27).
24
Let d(x) = 14*x + 1. Let p be d(-2). Let t = -26 - p. Let f(y) = 64*y - 1. Calculate the remainder when f(t) is divided by 16.
15
Suppose -3*z + 5*f + 85 = 0, 2*z + 7*f - 59 = 8*f. Calculate the remainder when 293 is divided by z.
23
Suppose -v + 9*y = 4*y - 67, -5*v = -2*y - 220. Suppose w - v = 24. What is the remainder when w is divided by 34?
32
Let g = 124 - 47. What is the remainder when 228 is divided by g?
74
Let q be (1/(-5)*2)/((-15)/375). Let i = q - -28. What is the remainder when i is divided by 22?
16
Suppose h = 6*h - 60. Let x(v) = -h*v + 6*v - 7*v + 4. Calculate the remainder when x(-3) is divided by 22.
21
Suppose z + 4*v + 24 = 5*z, 36 = 4*z - v. Suppose -4*o + 3*o + z = 0. Let g(r) = r**2 - 8*r - 14. Calculate the remainder when 21 is divided by g(o).
3
Let k(d) = -14*d**2 - 7*d - 16 - 11*d**3 + 10 - 26 + 12*d**3. What is the remainder when k(15) is divided by 15?
13
Suppose -3*p + 2 = -31. Suppose -25*r + 1560 = 5*r. What is the remainder when r is divided by p?
8
Let a be ((-22)/33)/(4/6). Let w(m) = -12*m - 8. What is the remainder when w(-4) is divided by (-1)/(2/28*a)?
12
Let b(f) = -12*f - 24. Let p(w) = 37*w + 72. Let g(u) = 7*b(u) + 2*p(u). What is the remainder when 189 is divided by g(-4)?
13
Suppose -75*p = -81*p + 210. Calculate the remainder when p is divided by 9.
8
Suppose 5*w = 576 + 364. What is the remainder when w is divided by 47?
0
Let f = 796 - 642. What is the remainder when f is divided by 31?
30
Suppose 2*w = -5*t + 25, 0 = t + 3*t - 4*w + 8. Calculate the remainder when 98 is divided by 23 + t + -3 + 2.
23
Suppose 0 = -2*a + 5*a. Suppose a = 3*d - 9. What is the remainder when 2/(-3) + 47/d is divided by 6?
3
Suppose -2*c = -0 + 2, -2*a + 64 = -2*c. Let j = 481 + -297. Let o = j - 93. What is the remainder when o is divided by a?
29
Suppose 9*y + 6 = 42. Suppose 4*l + 140 = y*r, -l - 4*l - 97 = -3*r. What is the remainder when r is divided by 14?
11
Suppose -4*b + 98 = -42. What is the remainder when b is divided by 4?
3
Let y = 58 + -14. What is the remainder when 66 is divided by y?
22
Let m(z) = -z**2 + 29*z - 127. Calculate the remainder when 85 is divided by m(22).
4
Suppose 4*n - 16 = 2*f, -2*f + 4*f = 5*n - 21. Suppose 29 - f = 3*l. What is the remainder when 29 is divided by ((-4)/(-3))/(2/l)?
5
Suppose 0 = -c - 3*f + 11, -6*c + 5*f + 27 = -5*c. What is the remainder when 116 is divided by c?
14
Let o(i) = 2*i**3 - 13*i**2 - 4*i - 14. Calculate the remainder when 593 is divided by o(7).
5
Let f be (-2)/(-4) + (-90)/(-4). Let l be 18 - (2 - -2 - 1). Let x = l + f. Calculate the remainder when x is divided by 20.
18
Let v = 16 - 25. What is the remainder when (v/2)/((-6)/12) is divided by 5?
4
Suppose -22 = -3*j - w - 7, 3*j - w - 15 = 0. Suppose 0*a = -j*a. Suppose a = 6*q - 37 - 83. What is the remainder when q is divided by 8?
4
What is the remainder when 470 is divided by 268/(-20) + 13 - (-594)/10?
57
Let i = -127 - -316. Suppose 0*x - i = -3*x. Suppose 4*y + 32 = 6*y. Calculate the remainder when x is divided by y.
15
Let i(o) = 2*o**2 + 30*o - 9. Let r be i(-14). Let b = 5 - r. Calculate the remainder when 166 is divided by b.
40
Let n(j) = j**3 - 15*j**2 - 15*j - 3. Calculate the remainder when (16 - 17) + 16*4 is divided by n(16).
11
Suppose -7*d = -2*d - 70. Let z(l) = 4*l**2 + 15*l + 4. What is the remainder when d is divided by z(-4)?
6
Let b(r) = -r**3 + 8*r**2 + 14*r - 2. Calculate the remainder when 687 is divided by b(9).
42
Suppose -3*s = -5*x + 13, 4*x - x = 5*s - 5. Suppose -128 = x*y + 157. Let h = y + 97. Calculate the remainder when h is divided by 11.
7
Suppose 109*s - 89*s = 300. Calculate the remainder when 53 is divided by s.
8
Suppose 8*d - 3*d = 45. Suppose -d = -2*x - 4*k + k, 1 = k. Suppose 63 = -0*n + x*n. What is the remainder when n is divided by 12?
9
Let s = -508 + 511. What is the remainder when 111 is divided by s?