 divided by v.
19
Let f(b) = -42*b**3 - 2*b**2 + 1. Let n be f(-1). Let p = n - 27. Suppose 4*w = 7*w - 78. What is the remainder when w is divided by p?
12
Let g(i) = i**2 - 4*i + 3. Let u(b) = -b**3 + 4*b**2 - 2*b + 4. Let x be u(3). Let w = 844 - 835. What is the remainder when g(x) is divided by w?
6
Suppose q = 5*d + 5*q + 3, -5*d + 3*q + 11 = 0. Calculate the remainder when 44 is divided by d*15*-9*5/(-75).
8
Let t = -79 + 95. Calculate the remainder when 381 is divided by t.
13
Let h(u) = u**3 - 8*u**2 + 15*u - 26. What is the remainder when h(8) is divided by 34?
26
Let n(l) = -l**3 + 10*l**2 - 17*l + 14. Calculate the remainder when 63 is divided by n(6).
7
Suppose -44 = -4*c + 144. Let i = -43 + 56. What is the remainder when c is divided by i?
8
Let f be (-62)/(-5) + 6/(-15). Let m = f + 16. Calculate the remainder when m is divided by 8.
4
Let l(c) = c**3 + 10*c**2 - 44*c + 13. Calculate the remainder when l(-13) is divided by 10.
8
Let z(x) = 4*x + 1. Let h(q) = 2 - 2 - 6*q - 1. Let g be h(-2). What is the remainder when z(g) is divided by 16?
13
Let q be 2522/130 - (14/10 - 2). Calculate the remainder when 10 is divided by 18/(-45) + 68/q.
1
Let k(v) = -v**3 + 9*v**2 - 9*v + 1. Let z be k(7). Suppose 4*s - 452 - z = 0. Calculate the remainder when s is divided by 41.
40
Let d(p) = -2*p - 2*p + 8*p**2 - p**3 + p + 10. What is the remainder when d(7) is divided by 2/(-9) + (-714)/(-54)?
12
Let f = -145 + 191. What is the remainder when 94 is divided by f?
2
Let u(j) = 29*j - 38. Calculate the remainder when u(3) is divided by 31.
18
Let y(v) = -1. Let j(w) = -9*w + 6. Let h(c) = j(c) + 6*y(c). Let a be h(1). What is the remainder when 25 is divided by ((-3)/4)/(a/48)?
1
Let p(v) = v - 3. Let d be p(-8). Let s = d + 9. What is the remainder when 9 is divided by (-21)/(-14) - 5/s?
1
Let z = 17 - 13. Let x = -7 + 11. Suppose i + 3*n + 2 = 1, x*n + 10 = 3*i. Calculate the remainder when z is divided by i.
0
Let s(h) = -h**3 - 13*h**2 - 7*h - 3. Let u = 5 - 1. Suppose q + 2*a + 0 = -17, 0 = 2*a + u. What is the remainder when s(q) is divided by 30?
28
Suppose -3*w + 6*w - 189 = 0. What is the remainder when w is divided by 4?
3
Suppose -96 = 8*x - 9*x. Suppose -4*a + 0*a + x = -2*u, -59 = -3*a - 5*u. Calculate the remainder when a is divided by (-261)/(-27) + (-4)/6.
5
Suppose -5*d - 25 = -5*i, 4*d + 4*i - 4 = -0*i. Let m be (3 - 4) + d + 6. Suppose m*y = -0*y + 45. What is the remainder when 42 is divided by y?
12
Let y(f) = 29*f + 200. Calculate the remainder when 128 is divided by y(-6).
24
Let m(x) = -x + 16 + 0*x + 217*x**2 - 216*x**2. What is the remainder when m(7) is divided by 10?
8
What is the remainder when ((-33)/132)/(1/(-764)) is divided by 40?
31
Suppose -2*r - 4*d - 81 = -489, 5*r + 2*d - 1020 = 0. What is the remainder when r is divided by 23?
20
Suppose 170 + 161 = 3*z + c, -c - 432 = -4*z. Let u = -101 + z. Suppose -2*r + 41 = -r - 4*b, -r + 26 = -b. Calculate the remainder when r is divided by u.
5
Suppose -3*n + 50 = v + 34, 5*n - 5*v - 60 = 0. Suppose -2*l - 5*l = -371. What is the remainder when l is divided by n?
4
Suppose -5 = -t + 1. Let c = t + 16. Calculate the remainder when 64 is divided by c.
20
Let p be (3 - -5)*(-2)/4. Let b(u) = 2*u**2 + 6*u - 5. What is the remainder when b(p) is divided by 3?
0
Let l = 534 + -304. What is the remainder when l is divided by 39?
35
Let c(u) = -u**2 + 9*u + 5. Let q = -44 + 53. Suppose -o + 17 = 5*j - 2*j, 5*j + 4*o = 19. What is the remainder when j is divided by c(q)?
2
Let o = -41 - -45. Suppose -9*r + 5 = -o*r. What is the remainder when 2 is divided by r?
0
Let j(w) = 85*w**2 - 6*w + 11. Let p be ((-23)/(-3) - -1)*6. Let b = 75 - p. Calculate the remainder when j(1) is divided by b.
21
Let k = 349 + -334. What is the remainder when 364/16 + (-1)/(-4) is divided by k?
8
Let m(i) = -i**2 - 7*i + 6. Let h be m(-9). Let f be (h/(-30))/((-2)/(-140)). Let u = f + -23. What is the remainder when 8 is divided by u?
3
Let h(r) be the first derivative of -3*r**2/2 - 24*r + 15. Calculate the remainder when 33 is divided by h(-14).
15
Suppose 455 = 37*s + 28*s. What is the remainder when 93 is divided by s?
2
Let u(z) = -z**2 - 4*z - 1. Let l be u(-5). Let h be l/6 + (-5)/(-1). Suppose 10*v = 6*v + h. Calculate the remainder when 3 is divided by v.
0
Suppose 0 = -9*x - 14*x + 1541. What is the remainder when x is divided by 5?
2
Suppose -8*w - 2062 = -2222. Calculate the remainder when 530 is divided by w.
10
Suppose 31 = 2*b + u, 0 = 3*b - b + 2*u - 36. Let a(y) = -y + 17. Suppose k - 5 = -5*l, 5*k + 15 = -4*l - 2. What is the remainder when a(k) is divided by b?
9
Let o = 4 - -2. What is the remainder when 24 + ((-20)/130 - (-134)/26) is divided by o?
5
Suppose 0 = 3*u + 3*n - 708, 3*u - 127 - 585 = -n. What is the remainder when u is divided by 81?
76
Suppose -6*d - 2*t = -10*d + 42, 4*t - 33 = -d. Calculate the remainder when 32 is divided by d.
6
Let d(h) = -3*h**3 - 22*h**2 - 7*h + 8. Let y = -39 + 53. Calculate the remainder when y is divided by d(-7).
6
Suppose 4*j - 30 = -2*l, j - 43 = -4*l - 18. What is the remainder when j is divided by (-75)/(-18) - (-3 + (-76)/(-24))?
1
Suppose -4*a - 2*y + 242 = 0, 5*y - 80 = -2*a + 45. What is the remainder when 835 is divided by a?
55
Suppose 9*d - 194 = 4. What is the remainder when d is divided by 4?
2
Let g(h) = h**3 + 22*h**2 + 10*h + 31. Calculate the remainder when g(-21) is divided by 54.
46
Let j(w) = w**2 - w - 2. Suppose 6 = -5*g + 4*g + 5*b, -3*g + 8 = -2*b. Let f be j(g). Suppose -x + f = x. What is the remainder when 13 is divided by x?
3
Suppose 2*y - 126 = -42. Suppose -2*z + 4 = -0. Suppose 2*n = -z*n + 44. Calculate the remainder when y is divided by n.
9
Suppose -4*h + o + 459 = -2*o, -h = 2*o - 123. What is the remainder when h is divided by 41?
35
Let r(u) be the second derivative of -10*u**2 + u**3 + u**3 - 2*u + 9*u**2. What is the remainder when r(2) is divided by 8?
6
Suppose -3*r + 195 = -3*h, h - 71 = -r - h. What is the remainder when r is divided by 2/(4/70) - 0?
32
Suppose k + 128 = 3*f + 6*k, 3*k = -4*f + 178. What is the remainder when 93 is divided by f?
1
Let g(w) = -w**3 - 9*w**2 - 8*w - 7. Let h be g(-8). Calculate the remainder when 87 is divided by (212/(-7))/(-2) + 1/h.
12
Let x(k) = -k**3 - k**2 + 12*k + 20. What is the remainder when x(-4) is divided by 17?
3
Suppose -10*t + 4*t + 12 = 0. Suppose 3*r - x - 38 = 0, -t*r + 2*x + 21 = -3. What is the remainder when 77 is divided by r?
12
Let m = -35 - -39. Calculate the remainder when 55 is divided by 115/m - (-21)/84.
26
Let v = -78 + 96. What is the remainder when -1 + 14/v - 7840/(-45) is divided by 35?
34
Let p be (-16)/6*189/(-14). Suppose p*q = 34*q + 26. Calculate the remainder when 19 is divided by q.
6
Let n = -210 - -354. What is the remainder when 574 is divided by n?
142
Suppose 0 = -4*g - 2 + 38. What is the remainder when 164 is divided by -3*((0 - (g - -3)) + 1)?
32
Let y(a) be the second derivative of -a**3/3 - 4*a**2 - 17*a. Calculate the remainder when 21 is divided by y(-8).
5
Suppose 3*l + 4*m + 180 = 0, 0 = -5*l - 4*m + 7*m - 271. Let r = 35 + 5. What is the remainder when r is divided by (1 + 2)/((-12)/l)?
12
Let c(x) = -2*x**2 + 19*x - 28. Let s(l) = -2*l + 42. Let u(g) = g - 28. Let d(z) = 5*s(z) + 7*u(z). What is the remainder when d(-11) is divided by c(5)?
13
What is the remainder when 143 is divided by 14/(-21)*(-24 - 3)?
17
Let x(q) = 2*q + 1. Let c be x(2). Suppose -3*s + 200 = 2*s + 2*h, -c*h - 235 = -5*s. Calculate the remainder when s is divided by 9.
6
Suppose -178 - 46 = -8*w. What is the remainder when w is divided by 16?
12
Let i(p) = 4*p + 4. Let g(r) = r**2 + 52*r + 684. Calculate the remainder when g(-31) is divided by i(4).
13
Let p(y) = -4*y - 11. What is the remainder when 18/12*(-210)/(-3) is divided by p(-16)?
52
Let m = -236 + 293. Suppose -2*w + 5*w + 87 = 0. Let v = w + m. What is the remainder when v is divided by 10?
8
Suppose -11 = v + 68*j - 64*j, -4*v = 5*j. Let b(a) = -3*a - 6. Calculate the remainder when b(-8) is divided by v.
3
Let z = -7 - -7. Suppose -5*q + q - 2 = -5*s, -5*s = 3*q - 16. Suppose 4*m - 14 - s = z. Calculate the remainder when 11 is divided by m.
3
Suppose 9*n = 17