by l.
2
Let k(l) = -l**2 + 15*l - 21. Let v be 28 - (0/(-3) - -3). Suppose v = 3*d - 59. What is the remainder when d is divided by k(12)?
13
Let g = -268 + 134. What is the remainder when (-2 + 3)/((-2)/g) is divided by -3 + 33 + (-63)/((-90)/(-10))?
21
Suppose 7 + 5 = -3*r. Let b = 17 + r. Calculate the remainder when b is divided by 8/1*84/96.
6
Let i(g) = 3*g**2 - 8*g + 9 - 4*g - 5*g. What is the remainder when 147 is divided by i(7)?
36
Suppose -896 - 534 = -13*b. Let d(l) = -l**2 + 8*l + 2. What is the remainder when b is divided by d(6)?
12
Suppose -3 = -7*d - 122. Let c = 48 + d. What is the remainder when c is divided by 11?
9
Let j = 3 - -2. Suppose 4 = -j*u + 2*i, -4*u - i + 3 - 1 = 0. Let l = 4 - u. Calculate the remainder when 11 is divided by l.
3
Let y = 363 + -356. Calculate the remainder when 37 is divided by y.
2
Let c = 46 - 14. Suppose 3*r + 6*r - 72 = 0. Suppose 2 + r = 2*a + 4*v, -8 = -a - v. What is the remainder when c is divided by a?
10
Suppose 8*u - 1832 = 208. Suppose 0 = 2*h + 5*n - u - 195, 0 = -4*n - 16. What is the remainder when h is divided by 34?
31
Suppose 36 = 4*t - 0*t. Suppose -4*l + 4*i = -88, -5*l + 2*l + i + 58 = 0. Suppose -5*d - d + l = 0. Calculate the remainder when t is divided by d.
0
Let c = 126 + 280. What is the remainder when c is divided by 15?
1
Suppose -5*b = -45 - 85. Let n = 37 - b. Suppose -12 - 13 = -o - 2*t, 3*o - 53 = 5*t. Calculate the remainder when o is divided by n.
10
Let x(h) = 5*h + 55. Let w be x(-5). Let l = 39 - w. What is the remainder when 25 is divided by l?
7
Let z = 44 - 44. Suppose z = -8*b + 4*b + 68. What is the remainder when 48 is divided by b?
14
Suppose 2*w - w - 2*z - 76 = 0, -4*z = -3*w + 220. What is the remainder when w is divided by (115/(-10))/(8/(-16))?
22
Calculate the remainder when 12175/150 - -4*(-3)/72 is divided by 68.
13
Let y(k) = k**3 + 30*k**2 - 26*k + 180. What is the remainder when 721 is divided by y(-31)?
21
Let n = -16 + 17. Let v(y) = -5*y**2 - 2*y + 2. Let r be v(n). Let t = r - -16. What is the remainder when 19 is divided by t?
8
Suppose 2*c + 1 = 5*a + 146, 4*a + 207 = 3*c. Suppose -4*u + f = -86, -3*f + 4*f = 3*u - c. What is the remainder when 79 is divided by u?
16
Let w = 36 - 31. Suppose -3*s + 45 = 5*l, -w*s + 32 = 2*l - s. Suppose 85 = 5*y + 5*o, -2*y = 2*y - 2*o - 98. Calculate the remainder when y is divided by l.
4
Let d(w) = -w**2 - 39*w - 4. What is the remainder when d(-34) is divided by 42?
40
Suppose 3*g + 5*j = 10, 7 = -g + 3*g + 3*j. Let a = g - -56. What is the remainder when a is divided by 21?
19
Let u = 6 + -15. Let g = u - -6. What is the remainder when 47 is divided by -4 + (-4 - (-23 - g))?
11
Suppose 0 = -4*o - k - 69 + 482, 0 = 5*o - 3*k - 529. Calculate the remainder when o is divided by 54.
50
Suppose -5*r = -4*b + 75, -8*r + 36 = 3*b - 5*r. What is the remainder when b is divided by 4?
3
Suppose 0 = 2*r - 3*r. Suppose r = -2*k + k. Suppose k = -4*v - 8, -v = -z + v + 81. Calculate the remainder when z is divided by 26.
25
Suppose 2*c = -s + 576, 9*s - 5*s + c - 2269 = 0. Calculate the remainder when s is divided by 8.
6
Suppose -370 + 55 = -15*h. Calculate the remainder when 1/(-1) + -1 + 40 is divided by h.
17
Let t be (-1 + 3)/(-2 + 1). Let g(i) be the first derivative of -14*i**2 + 2*i + 15. What is the remainder when g(t) is divided by 20?
18
Suppose 0 = 3*y - 11 + 2. Suppose 4*t = -3*u + 34, -u - y*t + 5*t = -28. Calculate the remainder when 68 is divided by u.
14
Let j = 231 + -156. Calculate the remainder when j is divided by 31.
13
Suppose -18 = d - 52. What is the remainder when 406 is divided by d?
32
Suppose -7 = -2*x + o + 40, -3*x + 3*o = -66. Let t(a) = 95*a. Calculate the remainder when t(1) is divided by x.
20
What is the remainder when 400 is divided by 26/((-15)/((-75)/10))?
10
Suppose 36 = 4*n + 2*b - 52, 59 = 3*n + 5*b. Suppose -25*t = -19*t - 30, -i - 2*t = -67. What is the remainder when i is divided by n?
11
Suppose -q = 4*a + 118, 2*a + 3*q + 46 + 18 = 0. Let x = -26 - a. Let m(r) = -r + 5. What is the remainder when x is divided by m(4)?
0
Suppose 5*a + 5*j - 90 = 0, 2*a = -0*a - j + 31. What is the remainder when (-9)/(-15) + 252/5 is divided by a?
12
Suppose 7*m + 0*m = -105. Let a = m - -21. What is the remainder when 46 is divided by a?
4
Let t(l) = l**2 + 4. Let d be t(0). Let i be -2 - (-3)/(3/d). Suppose -i*w + 38 = 4*m, 7*w + 15 = 2*w. What is the remainder when 19 is divided by m?
8
Let f(j) = -j**3 + 12*j**2 + 12*j + 5. Let o be (-1)/(-2)*(3 + 21). What is the remainder when f(o) is divided by 19?
16
Let g = 741 - 698. Suppose -f + 0*f + 15 = 0. Calculate the remainder when g is divided by f.
13
Suppose -298 = -5*i + 17. Let a = 6 + 11. What is the remainder when i is divided by a?
12
Let l be (0*(-2)/8*2)/(-3). Suppose 3*j = 3*m - 14 - 16, l = -2*m + 3*j + 21. Calculate the remainder when m is divided by 5.
4
Suppose 0 = d + 3*h - 26, 0*d - d + 5*h = -34. Suppose -172 = 4*p - 6*p + q, 2*p + 2*q - 172 = 0. What is the remainder when p is divided by d?
28
Suppose -6*c + 2*c = 24. Let f = 3 - -1. What is the remainder when 3 - -2*(-9)/c is divided by f?
2
Suppose -3 - 1 = 4*b, -m - b + 20 = 0. Suppose -2*g = -5*g + m. Let j(a) = a**2 - 2*a + 13. What is the remainder when j(g) is divided by 17?
14
Suppose 0 = 15*r - 19*r + 928. What is the remainder when r is divided by 34?
28
Let q = -9 - -12. Suppose -2*r + 27 = -2*w - 27, -81 = -q*r + 5*w. Calculate the remainder when 104 is divided by r.
23
Let u(v) = 4*v**3 - 12*v**2 - 8. What is the remainder when u(4) is divided by 15?
11
Let y = -9 + 13. Suppose -7*w + 12 = -y*w. Suppose -2*f + w*c + 150 = 0, -4*c + 37 = 4*f - 215. Calculate the remainder when f is divided by 23.
21
Let n = -4449 + 4466. Let d(o) = 4*o**2 - 7*o. Calculate the remainder when d(5) is divided by n.
14
Let r = 0 - -2. Suppose -3 = -3*c + 6. Suppose d + 2*x = -c*d + 12, 2*d - 10 = -3*x. Calculate the remainder when d is divided by r.
0
Suppose 7 = 6*z - 5. Suppose 0 = z*d - d - 69. Suppose -19 = -4*a + d. Calculate the remainder when a is divided by 12.
10
Let o(j) = 3*j**2 + 7*j - 23. What is the remainder when o(4) is divided by 11?
9
Let y(s) = 2*s**2 - 2*s - 2. Suppose 5*f - 93 = -23. Let j be (f/21)/(4/(-18)). Calculate the remainder when 65 is divided by y(j).
21
Let h = -12 - -20. Let j(u) = 2*u - 8. What is the remainder when (2 - (-12 + -2)) + -3 is divided by j(h)?
5
Let k be 808/(-14) - 4/14. Let l = -35 + k. What is the remainder when l/(-5)*25/5 is divided by 24?
21
Calculate the remainder when (5 + -7)*1395/(-30) is divided by 79.
14
Let o(x) = -19*x - 2. Suppose 5*z + 3*d - 57 = 0, -20 = -4*d - d. Let y be (-36)/z + 2/1. What is the remainder when 106 is divided by o(y)?
34
Let q(g) = g - 3. Let a = -13 - -11. Let d(o) = -o**3 + o**2 - 2. Let b be d(a). Calculate the remainder when 20 is divided by q(b).
6
Let q be (-556)/(-6)*(84/(-8))/(-7). Let t = q + -79. Suppose -97 = -5*d + 2*f, 0*d - 3*d - 3*f + 75 = 0. What is the remainder when t is divided by d?
18
Let j be 1/4 + 150/40. Suppose 8*x - 32 = j*x. Suppose -4*b = -7*b + 3*w + 57, 4*b - 44 = -4*w. What is the remainder when b is divided by x?
7
Let y = -1306 - -1341. Calculate the remainder when 1574 is divided by y.
34
Suppose -r + 2*z + 59 = 0, 5*r - z - 240 = -2*z. Suppose -14 = -3*l + r. Calculate the remainder when 41 is divided by l.
20
Suppose 4*h - 5 = 3*h. Let r(l) be the first derivative of -l**2/2 - 7*l - 15. What is the remainder when h is divided by r(-9)?
1
Let p(m) = -m**3 + m**2 + m - 2. Suppose 4*w + 4 = 6*w. Suppose -w*x + 2*a = -5*x + 77, x - 17 = -5*a. Calculate the remainder when x is divided by p(-2).
3
Let p(y) = -y**3 - 3*y**2 + 22*y + 17. Suppose 57 = 4*z - 3. Calculate the remainder when p(-7) is divided by z.
14
Suppose -2*s + 0*s = 0. Let z be (-4 - -7) + s - 421. What is the remainder when z/(-18) - (-28)/(-126) is divided by 13?
10
Suppose -14 = -3*w + 3*z + 31, -2*z = w. Suppose 3*p + w = -0*p + 5*m, m + 15 = 4*p. Calculate the remainder when 18 is divided by p.
3
Let u(g) = g**3 - 4*g**2 + g - 2. Suppose -34 = 3*i + 2*q, 4 = -3*q - 11. Let l = -7 - i. What is the remainder when u(4) is divided by l?
0
Suppose -5*y = -7*y - 46. Suppose -5*f - 9 = -29