 1. Let x be i(-1). Let u = x - 11. Calculate the remainder when 66 is divided by u.
20
Suppose 2*d - 1064 = -2*d. Suppose 5*v - d = 44. Suppose -3*i = -3*z + 17 + 34, -5*z = -i - 81. Calculate the remainder when v is divided by z.
14
Let r(v) = -2*v + 3. Let p = -105 + 154. What is the remainder when p is divided by r(-7)?
15
Calculate the remainder when 142 is divided by (-90 - -94) + (-1 - -54).
28
Let i be 2/(-6)*-1*3. Let x(y) be the third derivative of 9*y**4/4 - y**3/6 + 3*y**2. Calculate the remainder when x(i) is divided by 18.
17
Let k(m) = 5*m + 51. Calculate the remainder when 22 is divided by k(-9).
4
Suppose 3*n - 3 = 4*n. What is the remainder when ((-19)/n)/((-4)/(-12)) is divided by 7?
5
Suppose 8*z - 3*z = 45. What is the remainder when 375 is divided by z?
6
Suppose 15*a - 627 = 1083. What is the remainder when a is divided by 24?
18
Let y(m) be the first derivative of -3 + 0*m + 1/3*m**3 - m**2. What is the remainder when y(-5) is divided by 18?
17
Suppose 5*h = 5 - 0, 366 = 4*m + 2*h. Let s be 3*((-4)/1)/4. Let x = s + 26. Calculate the remainder when m is divided by x.
22
Suppose 0 = 6*t - 4*t - 4. Suppose -2*f + 38 = 4*r, -t*f + 2*r + 116 = 2*f. Let d = f - 13. What is the remainder when d is divided by 5?
4
Let f(h) = -2 - 3 + 8*h + 6 + 3. Suppose 2*n - 50 = -3*n. Calculate the remainder when f(3) is divided by n.
8
Let f(a) be the second derivative of a**5/20 + 7*a**4/6 - 10*a**3/3 - 21*a**2/2 - 15*a. Calculate the remainder when f(-15) is divided by 8.
6
Let u(m) be the second derivative of 5*m**3/6 - 4*m**2 + 2*m. Let a be u(4). Suppose 2*t - a = -0. What is the remainder when 16 is divided by t?
4
Suppose 9*f - 4*f = 20. Suppose -z - 2*z + 24 = 5*u, 0 = -5*z + f*u + 3. Suppose z*w = 0, -2*w - 80 = -2*a + 2*w. What is the remainder when a is divided by 7?
5
Suppose 58*s - 4*f + 255 = 61*s, 2*s - 2*f - 156 = 0. Calculate the remainder when s is divided by 13.
3
Suppose 18*u + 32 = 22*u. Suppose -36 = -u*q + 2*q. Calculate the remainder when 17 is divided by q.
5
Let z = 251 - 220. What is the remainder when 84 is divided by z?
22
Suppose -15 - 2 = -2*w + 3*j, -3*j + 3 = 3*w. Suppose b + w*a + 64 = 4*b, -2*b - 4*a = -56. What is the remainder when 69 is divided by b?
21
Let s(h) = -h**3 - 33*h**2 - 253*h + 14. Suppose -3*c = 2*a - 4*c - 28, c = -2*a + 20. What is the remainder when s(-21) is divided by a?
11
Suppose -5*b + 53 = x, b - 18 = 3*x - 17. What is the remainder when 63 is divided by b?
3
Suppose -44*i = -41*i - 480. What is the remainder when i is divided by 18?
16
Let a(k) = 18*k + 8. Calculate the remainder when 87 is divided by a(2).
43
Let h(y) = -y**3 + 25*y**2 - 81*y + 39. What is the remainder when h(21) is divided by 47?
8
Let c(x) = -x**2 + 14*x - 5. Let m(z) = -51*z + 37. Let f(h) = -13*h + 9. Let u(p) = 9*f(p) - 2*m(p). Calculate the remainder when u(-4) is divided by c(4).
32
Suppose 70 = 17078*a - 17073*a. What is the remainder when 3 + -1 + 16 + 5 is divided by a?
9
Suppose -2*x + 0*t - 4*t + 46 = 0, -3*t - 87 = -3*x. Let l = -1653 - -1668. What is the remainder when x is divided by l?
12
Let t(o) = -o**3 + 7*o**2 + 3*o - 4. Let g(f) be the third derivative of -f**4/8 - 5*f**3/6 - 3*f**2. What is the remainder when t(7) is divided by g(-5)?
7
Suppose 38 = 3*x - 10. Let k = -95 - -95. Suppose -t + 13*t - 552 = k. Calculate the remainder when t is divided by x.
14
Suppose 68*w + 5*r + 561 = 72*w, -5*w - 3*r = -655. What is the remainder when w is divided by 23?
19
Suppose -17*a = -8*a - 819. Calculate the remainder when a is divided by 46.
45
Let m be (-12)/(-42) - 540/(-21). Suppose 28*f = m*f + 8. Calculate the remainder when 35 is divided by f.
3
Suppose 3*t + 3*b - 87 = 0, -3*b + 2 = -t + 27. Calculate the remainder when 37 is divided by (-55)/(-2)*t/35.
15
Suppose -21*k + 10*k + 2530 = 0. Let b = k + -140. What is the remainder when b is divided by 23?
21
Suppose 2*p = p + 17. Let g(y) = 5*y + 1. Suppose -5*c + 108 = 2*z, -3*c + c + 2*z = -46. What is the remainder when g(p) is divided by c?
20
Let s = 33 + -19. Suppose -v - 3*q = -s, -5*v + 6*q - 4*q + 53 = 0. What is the remainder when 29 is divided by v?
7
Suppose 100 = 52*o - 48*o. What is the remainder when 115 is divided by o?
15
Let p(v) = 27*v - 76. Calculate the remainder when p(4) is divided by 13.
6
Suppose -4*p + 2*p + 3*i + 144 = 0, 4*i = -2*p + 116. Suppose 4*d - p = 3*d. What is the remainder when d is divided by 17?
15
Let l(r) = 13*r - 285. Calculate the remainder when l(30) is divided by 41.
23
Let t(r) = r**3 - 23*r**2 + 9. Let x be 0*(1/2 + 0). Suppose -2*k + x*k + 32 = 0. What is the remainder when k is divided by t(23)?
7
Let c(o) = -25*o - 36. Calculate the remainder when 53 is divided by c(-3).
14
Suppose 2*g = 1 + 7. Suppose 7*z = 4*z - s + 109, -g*z - 5*s + 149 = 0. What is the remainder when 106 is divided by z?
34
Let a be 3 - (-4)/(-8)*73*-2. Suppose a = 4*g - 164. What is the remainder when g is divided by 32?
28
Let y be (-214)/(-10) - 12/30. Let p(x) = -x**2 + 15*x - 20. What is the remainder when 322/y*6/2 is divided by p(11)?
22
Let v(c) = c**3 + c**2 + 16. Suppose -3*g + 7*g - 5*t = 1, 3*g - 9 = t. Let n(l) = l**3 + l**2 - 6*l + 6. Calculate the remainder when n(g) is divided by v(0).
14
Let i(q) = q**3 + 16*q**2 - 22*q - 35. Let t be i(-17). Let g = 140 - t. Calculate the remainder when g is divided by 23.
21
Suppose 109*m - 115*m + 18 = 0. Let g(z) = z + 1. What is the remainder when g(6) is divided by m?
1
Let l(a) = -a + 4*a - 3 + a**2 + 3 - 4. Let b be l(-4). Suppose b*t + 7*t - 91 = 0. Calculate the remainder when 21 is divided by t.
8
Let o = -669 + 681. What is the remainder when 561 is divided by o?
9
Calculate the remainder when 88 is divided by ((-1)/3)/(22/(-1716)).
10
Let a = 6 + -14. Let d(c) = 3*c**3 - 8 + 7*c**2 + 8 - 17*c - 2*c**3 + 3. What is the remainder when d(a) is divided by 26?
23
Suppose -5*w = 3*l - 5*l - 79, 5*l = -2*w + 49. Let n = 529 - 520. Calculate the remainder when w is divided by n.
8
Let z = -146 + 150. Suppose -4*g + z*a + 16 = 0, -a + 0*a - 11 = -2*g. What is the remainder when ((-8)/10)/((-1)/20) is divided by g?
2
Suppose -c = 11*c - 252. Calculate the remainder when 46 is divided by c.
4
What is the remainder when 1080 is divided by ((-84)/(-168))/(1/62)?
26
What is the remainder when 278 is divided by (6/(120/355))/((-8)/(-32))?
65
Let n be -3 + (-7)/(-1) - (-4)/(-2). Suppose y + n*y = z - 34, -z + 34 = y. What is the remainder when z is divided by 18?
16
Suppose -73 = -n - 2*l, 18 = -5*l + 3. Suppose -n = 2*w - 3*w. Calculate the remainder when w is divided by 6*35/15 - (2 - 8).
19
Let u(i) = i - 2. Let q be u(8). Let c = -23 - -37. Calculate the remainder when 1/(3/q)*13 is divided by c.
12
Let d be 3/2*(-32)/(-24). Suppose l = 5*i + 2, 0 = l - 2*i - d - 6. Let s = 10 + 11. What is the remainder when s is divided by l?
9
Suppose -3*g = 2*c - 417, 0 = -7*c + 5*c - 2*g + 412. What is the remainder when c is divided by 68?
65
Let a(p) = p**3 - 7*p**2 + 7*p. Let r be (19/(-19))/(2/(-12)). What is the remainder when 10 is divided by a(r)?
4
Let w = 143 - 90. Calculate the remainder when w is divided by 11.
9
Suppose 2*j + 6 = 12. Suppose -55 = -5*s - 5. Calculate the remainder when s is divided by j.
1
Let r(s) = -2 - 4*s - 3*s**3 - s**3 - 2*s**2 + 2*s**3. Calculate the remainder when 4 + (-51)/(-1) + -1 is divided by r(-2).
12
What is the remainder when 151 is divided by (((-6)/8)/(-1))/(6/248)?
27
Suppose -2*g - 63 = 7*g. Let q = 8 - g. Calculate the remainder when q is divided by 8.
7
Suppose l = -3*o + 42, 0 = 5*o + l - 2*l - 70. What is the remainder when 181 is divided by o?
13
Let a = -69 - -91. Calculate the remainder when 98 is divided by (3 - -2)/10*a.
10
Let t(x) = 60*x**2 + 2*x - 3. Let n be 3 - 9/((-45)/(-10)). What is the remainder when t(n) is divided by 16?
11
Suppose t + 0*t + g = 4, -12 = 4*t - 3*g. Let a = t - -8. Let v = 17 - a. Calculate the remainder when v is divided by 3.
0
Suppose 1 = 4*x + 57. Suppose 7*d = -83 + 55. What is the remainder when 1608/56 + d/x is divided by 10?
9
Suppose 2*p - 98 = -2*d, 3*p + 53*d = 58*d + 171. Calculate the remainder when 535 is divided by p.
15
Let k(c) = -c**2 + 5*c - 2. Let m be k(5). Suppose -n + 65 = -