-18) is divided by j.
35
Let t = 179 - 105. Let v = 103 - t. What is the remainder when v is divided by 17?
12
Suppose -41*b = -15*b - 312. Calculate the remainder when 586 is divided by b.
10
Let b(p) = p**2 - 7*p + 16. Suppose o - 2 + 0 = 2*x, 0 = 2*o + x - 24. Calculate the remainder when b(8) is divided by o.
4
Let p = 99 + -30. Let w = p - 56. What is the remainder when 75 is divided by w?
10
Let x = -9 - -14. Suppose 21 = d - q - 17, 0 = -x*d - 5*q + 240. What is the remainder when d is divided by 15?
13
Suppose -464*d + 64 = -448*d. Suppose 2*o - 28 = -2*z, 12 = -5*o + 2*z + 89. What is the remainder when o is divided by d?
3
What is the remainder when 74/(-74)*-1*277 is divided by 18?
7
Suppose -16*v + 71 - 7 = 0. What is the remainder when (-6)/21 + 149/7 is divided by v?
1
Let i = -6 - -8. Suppose -i*c = -4*c - 6. Calculate the remainder when ((-31)/c)/((-1)/(-3)) is divided by 11.
9
Let q(h) = -16*h + 237. What is the remainder when q(-20) is divided by 17?
13
Suppose w + 96 = -11*w. Let g(n) = 16*n. What is the remainder when g(1) is divided by (108/24)/(-1 - 14/w)?
4
Let j(m) be the first derivative of m**3/3 + m**2 - 4*m + 3. Calculate the remainder when j(-10) is divided by 26.
24
Let c(o) = 22*o**3 - 2*o**2 - 3*o. Let m be c(-2). What is the remainder when m/(-6) - (-2)/6 is divided by 17?
13
Let b(l) = 10*l + 70. What is the remainder when b(19) is divided by 24?
20
Suppose 30*o - 21*o - 99 = 0. What is the remainder when 74 is divided by o?
8
Suppose 3*f + 2*p = 2*f + 40, -4*f = -5*p - 199. Suppose -3*h - l + f = 0, -4*h - 2*l + l + 60 = 0. What is the remainder when 67 is divided by h?
11
Let i(m) = -7*m + 2. Let c be i(7). Let j = c - -79. Calculate the remainder when 845/9 - 0 - 51/(-459) is divided by j.
30
Suppose 0 = -2*d - 16 + 64. Let t = 36 - d. Suppose 4*v - c = -3*c + 92, 69 = 3*v + 2*c. What is the remainder when v is divided by t?
11
Suppose -17 = 2*i - 37. Calculate the remainder when 48 is divided by i.
8
Let o = 1064 + -995. What is the remainder when o is divided by 35?
34
Let a(o) = 27*o. Let l be a(2). Suppose l - 214 = 5*y. Let u = y - -39. What is the remainder when 27 is divided by u?
6
Suppose -2*a + i + 44 = 0, a - 25 = -i + 3. Suppose -n + 4 = -a. Let s = -2609 + 2619. What is the remainder when n is divided by s?
8
What is the remainder when 114*(-3)/(90/(-10)) is divided by 3?
2
Suppose -3*w = 2*n, 5*w + 0*n + 4*n = 2. Calculate the remainder when 3*w/(-3) + 22 is divided by 9.
6
Suppose 0 = 3*g - 21 - 21. Let s(y) = 8*y - 21. What is the remainder when s(g) is divided by 25?
16
Calculate the remainder when 13348/(-355)*(-10)/4 is divided by 17.
9
Suppose -45 = 8*u - 125. What is the remainder when (-4 - -6)/(1/13) is divided by u?
6
Let t = -115 + 134. What is the remainder when 453 is divided by t?
16
Suppose 5*l - 4*w - 101 - 47 = 0, 5*l - 2*w - 154 = 0. What is the remainder when 91 is divided by l?
27
Suppose -29 - 11 = -4*x. Calculate the remainder when (-1)/(-3) + (-86)/(-3) is divided by (0 + x)*(-72)/(-45).
13
Suppose -146 = -4*l - 2*b - 0*b, -4*b = 20. What is the remainder when 127 is divided by l?
10
Suppose -5 = -z, f + 0*z - 9 = -z. Suppose f*s = -3*j - 0*s + 6, j + 4*s = 2. What is the remainder when 9 is divided by 5/(0 + -1 + j)?
4
Let d = 3 + -16. Let v = d - -22. What is the remainder when 35 is divided by v?
8
Let w be (1 - -1)/(630/(-159) - -4). Let m = w - 41. Calculate the remainder when 45 is divided by m.
9
Calculate the remainder when (-10)/2 - (-1)/(3/966) is divided by 80.
77
What is the remainder when 1*-1*((4 - -9) + -104) is divided by 25?
16
Suppose 0 = -5*d + 18 + 12. Let h be (0 - 1/(-1))*4. Suppose -2*g + 8 = -h*t, -3*t = -d - 6. What is the remainder when 46 is divided by g?
10
Let o(g) = -122*g - 111. Calculate the remainder when o(-2) is divided by 53.
27
Suppose -2*y - 91*u + 87*u + 122 = 0, -u = 2. Calculate the remainder when 401 is divided by y.
11
Suppose -2*u = 5*b + 35, -2*u + 2*b - 11 = -b. Let k = u - -20. Calculate the remainder when 23 is divided by k.
3
Let x = -41 + 68. What is the remainder when x is divided by 8?
3
Calculate the remainder when 7 is divided by -3*(-43 + 39)*(-2)/(-6).
3
Let d(j) = -j**3 - 13*j**2 - 19*j - 6. What is the remainder when d(-12) is divided by 22?
12
Let o = -3 - -12. Suppose 4*j - o*j = -55. What is the remainder when 30 is divided by j?
8
Let h(t) = -2*t + 2 - 3*t - 11*t. Let r = -37 - -65. What is the remainder when h(-5) is divided by r?
26
Let q(i) = 3*i - 24. Let s = -17 - -26. Calculate the remainder when 18 is divided by q(s).
0
Suppose 2932 = 38*i + 30*i - 1148. Suppose 3*z + 0*z = 0. Suppose z = -3*o - o + 84. Calculate the remainder when i is divided by o.
18
Calculate the remainder when 372/15*((-35)/2)/(-7) is divided by 9.
8
Let y(a) = -5*a - 6. Let m be y(-1). Let k(i) = -16*i**3 + i**2. Calculate the remainder when 82 is divided by k(m).
14
What is the remainder when 16 is divided by 74/8 + (-72)/(-96)?
6
Let i(r) be the first derivative of 11*r**2/2 - 15*r + 6. What is the remainder when i(4) is divided by 11?
7
Let i = -499 + 510. Suppose -18 = -3*u + 69. What is the remainder when (u/4)/((-3)/(-12)) is divided by i?
7
Suppose 0 = x + 2*k - 12, -3*k - 35 = -5*x + 90. Suppose -7*q = -2*q - 30. Let h(r) = 10*r + 3. Calculate the remainder when h(q) is divided by x.
19
Suppose 6 = 15*w - 17*w, 3*w - 946 = -5*b. Calculate the remainder when b is divided by 81.
29
Suppose -4*j = -s + 15 + 21, 2*s - 32 = 3*j. Let z = 11 + j. Suppose -z*l + 89 = 26. Calculate the remainder when 81 is divided by l.
18
Suppose 1529 - 531 = 2*y. Suppose 4*p - y = 9. Suppose -5*t + 63 + p = 0. What is the remainder when t is divided by 20?
18
Suppose 8*j + 33 = 105. What is the remainder when 37 is divided by j?
1
Let a(n) be the third derivative of n**4/24 - 5*n**3/6 - 6*n**2. Let x be a(8). What is the remainder when 18 is divided by 3 - ((-15)/x - -3)?
3
Let c be (-271)/4 + 7/(-28). What is the remainder when c*((-28)/(-8))/(-7) is divided by 12?
10
Let m(k) = 8*k**2 - k + 1. Let o = 2 - -30. Let c = o + -30. What is the remainder when m(c) is divided by 16?
15
Let u(o) = 3*o + 80. Calculate the remainder when 38 is divided by u(-19).
15
Suppose 3*s = 12 + 345. Let h = -1092 + 1102. What is the remainder when s is divided by h?
9
Let a(b) = -b**2 - 12*b + 18. Let m be a(-13). Suppose -4*c + 170 = -c - w, -m*c + 310 = 5*w. Let n = -35 + 55. What is the remainder when c is divided by n?
18
Let z(c) = 180*c - 71. Calculate the remainder when z(1) is divided by 30.
19
Let k(r) = -r**3 - 4*r**2 - 4*r - 4. What is the remainder when 147 + ((-27)/5 - 66/110) is divided by k(-4)?
9
Let f = 1 + 3. Suppose 0 = 5*r - 3*r + 2, -f*h + 52 = -4*r. What is the remainder when h is divided by 6 + -4 - 9/(6 - 9)?
2
Let n(q) = -q**3 + 9*q**2 - 12*q + 10. Let d be n(8). Let s = d - -18. Let i(a) = -17*a - 10. Calculate the remainder when i(s) is divided by 20.
18
Suppose 3*k = -3, -3922 + 615 = -5*m + 2*k. Calculate the remainder when m is divided by 74.
69
Let t(f) = -9*f - 57. Let v(q) = 5*q**3 + q**2 + 6*q - 3. Let j be v(4). What is the remainder when j/5 - (-2)/(-5) is divided by t(-9)?
23
Let a(x) = -2*x**2 - 109*x - 105. Calculate the remainder when 58 is divided by a(-53).
4
Suppose 29 = k + 7. Calculate the remainder when 130 is divided by k.
20
Let w be 1*250*(-4)/(-8). Suppose -5*n + w + 0 = 0. Suppose -q + n - 13 = 0. What is the remainder when 45 is divided by q?
9
Suppose -3*f = -50 + 8. Suppose -q = -5*y + 15, 3*q + 4*y - f + 2 = 0. Suppose -u - 2*u + 63 = q. What is the remainder when u is divided by 8?
5
Let h(p) = -p**3 + 14*p**2 - 23*p + 4. Calculate the remainder when 63 is divided by h(12).
15
Suppose -245 = -5*r - 20. Let l(d) = -d**2 + 15*d + 14. Let b be l(13). Suppose -3*u + b - 4 = 0. What is the remainder when r is divided by u?
9
Let j be (-7)/14 - 149/(-2). Let h = j + -65. What is the remainder when 30 is divided by h?
3
Suppose -1225 = -5*y - 5*t, y + 3*y - 5*t - 1007 = 0. Suppose 18*c = 22*c - y. What is the remainder when c is divided by 16?
14
Let u = -35 + 43. Calculate the remainder when (-2072)/(-49) + -3 - 2/7 is divided by u.
7
Suppose -3*a = -3*y - 3, 29*y = 28*y - 2*a + 11. Let r = -7 - -11. Suppose 0 