by w.
14
Let c = -2 - -13. What is the remainder when 31 is divided by c?
9
Calculate the remainder when 4/(-24)*2*(-90)/2 is divided by -2 + (-1 - 1)*-5.
7
Let d = 155 + -142. Calculate the remainder when 89 is divided by d.
11
Let s(p) = 6*p - 3. Let z be s(2). Let h(w) be the first derivative of w**4/4 - 8*w**3/3 - 7*w**2/2 - 9*w - 2. What is the remainder when h(z) is divided by 5?
4
Suppose 3*g + u = -g + 1, 18 = -3*g + 3*u. Let q = g + 53. Suppose 4*j - 59 - 13 = 0. What is the remainder when q is divided by j?
16
Let x = -10 + 27. Suppose -2*t = 2*l - x + 3, -5 = 5*t. Calculate the remainder when 23 is divided by l.
7
Suppose -2*r - 2*r = -56. Calculate the remainder when r is divided by 8.
6
Let g(x) = -x**3 + 6*x**2 + 3*x - 6. What is the remainder when 31 is divided by g(6)?
7
Suppose -5*o + 1 = -54. What is the remainder when 21 is divided by o?
10
Suppose 2*t - 34 = -5*j, 4*j = -4*t - 0*j + 92. What is the remainder when t is divided by 11?
5
Let h(g) = 3*g**2. What is the remainder when h(5) is divided by 19?
18
Suppose 2*w - 3*u = -w + 12, -8 = -2*w - 5*u. Let s(o) = -o**3 - o**2 + 4*o - 3. Let d be s(2). Let y = -4 - d. What is the remainder when w is divided by y?
1
Let m(p) = 4*p**2 + 3*p - 2. Let w be m(1). Suppose -w*x = s - 14 - 41, -2*s = 10. What is the remainder when 32 is divided by x?
8
Suppose 15 = -w + 6*w. Let n(q) = 2*q**2 + q**w + 3*q**2 - q + 1 + 4. What is the remainder when 19 is divided by n(-5)?
9
Suppose 60 + 74 = 2*t. Calculate the remainder when t is divided by 17.
16
Suppose 2*b - 27 = -3. Let i be 12/(-48)*(0 - 52). Let k = -6 + i. Calculate the remainder when b is divided by k.
5
What is the remainder when 37 is divided by (-2)/(-1) - (-16 - -5)?
11
Let j = -3 - 0. Let h(b) = 44*b - 3. Let v be h(j). Let k = -89 - v. Calculate the remainder when k is divided by 16.
14
Let x(o) = o**3 - 9*o**2 - 9*o - 12. Let u be x(10). Let j = 1 - u. Let y = 14 + -7. What is the remainder when y is divided by j?
1
Let k(l) = 2*l**2 + 3*l - 7. Suppose 0 = -4*z + 35 + 137. Let p = z - 24. What is the remainder when k(4) is divided by p?
18
Suppose -2 = 2*q, -j - j + 3*q = -55. Calculate the remainder when j is divided by 7.
5
Let r be (15/6)/(1/2). Suppose 3*x - 3*z + 0*z - 180 = 0, r*x - 4*z = 303. Calculate the remainder when x is divided by 16.
15
Suppose 2*o - 2*m - 3 = 1, m + 8 = 2*o. Suppose -2*v - 2 = 0, -4*u + o*v - 3 = v. Calculate the remainder when 26 is divided by 9 + -2 + u/(-1).
8
Let o = 10 - 3. Suppose -2*h = 1 - o. Let r = 13 + -6. Calculate the remainder when r is divided by h.
1
Let p be -20*((-9)/(-12) + 0). Let k = p + 26. Suppose k = 3*s - 10. What is the remainder when 13 is divided by s?
6
Let j = 5 - -10. Suppose -4*d = d - j. Suppose -d = -w - 0. Calculate the remainder when 5 is divided by w.
2
Let r(z) = -3*z**2 - 45*z - 64. Suppose q + 5*j = 3, -6 = -q - q - 4*j. Suppose -8 - 70 = -q*x. Calculate the remainder when x is divided by r(-13).
12
Suppose -5*z = -3*p + 364 + 422, 0 = z - 5*p + 166. What is the remainder when 2/(-6) - z/9 is divided by (-2)/(-15) - 665/(-75)?
8
Let d = 29 + -7. Let t = -36 + 59. Calculate the remainder when t is divided by 268/d + (-8)/44.
11
Suppose -9 - 3 = -3*v. What is the remainder when 15 is divided by v?
3
Suppose -4 = a - 3*w, 2*w - 15 = -3*w. Calculate the remainder when 8 is divided by a.
3
Suppose -l + 5*q + 3 = 3*q, 0 = -2*l - q + 6. Let w = 14 - l. Calculate the remainder when w is divided by 3.
2
Suppose 0 = -5*a + 2*a + 24. Calculate the remainder when 13 is divided by a.
5
Let d(n) = -n**2 - 10*n - 6. Let k be d(-7). Let w = k - 11. Suppose -r + 1 + w = 0. Calculate the remainder when 9 is divided by r.
4
What is the remainder when 19 is divided by (-1012)/(-99) - (-4)/(-18)?
9
Suppose 34 = -10*r + 12*r. What is the remainder when 47 is divided by r?
13
Let w(c) = -2*c - 5. Let i be w(-4). Let q be 1 - (2 + i/(-3)). Suppose -4*t = -q*t - 32. Calculate the remainder when t is divided by 3.
2
Let c = -11 - -16. What is the remainder when 18 is divided by c?
3
Let i = 17 - 3. Suppose 2*d - 12 = i. What is the remainder when 25 is divided by d?
12
Calculate the remainder when 32 is divided by 17/(-3)*(-1 + -2).
15
Suppose 3*r = -2*f + 33, 5*r + 2*f = -19 + 70. What is the remainder when 17 is divided by r?
8
Let m be 2/3 + (-22)/6. What is the remainder when ((-20)/m)/(6/27) is divided by 11?
8
Suppose 3*y + 4*h + 40 = 2*h, 0 = -2*y - 4*h - 40. Let o = 28 - y. Suppose 43 = f + 2*f + 2*l, -3*f - l = -41. Calculate the remainder when o is divided by f.
12
Let x(i) = i**3 - 2*i + 1. Let a be x(2). Let o = -21 - -29. Calculate the remainder when o is divided by (a*2)/(2/1).
3
Suppose 2*v + v = 12. Let f be (-4)/18 + (-40)/(-18). What is the remainder when 49 + (v/2 - f) is divided by 17?
15
Suppose -5*n + 73 = 2*i, -5*n + 11 = -14. Let u(x) = -x**3 + 5*x**2 - x - 3. Let l be u(5). Let a = l + i. What is the remainder when 46 is divided by a?
14
Suppose -2*a = 3*a - 615. Calculate the remainder when (-2)/3 + a/9 is divided by 7.
6
Suppose 4*t - 4 = 0, 2*t + t + 5 = 2*w. Suppose 19 - 187 = -w*q. Calculate the remainder when q is divided by 15.
12
Let t(y) = -31*y + 1 - 5 + 5. Let b(k) = 11*k. What is the remainder when t(-1) is divided by b(1)?
10
Let b(m) = -m**2 + 11*m - 2. Calculate the remainder when 54 is divided by b(5).
26
Suppose 3*q + 95 = 5*x + 7*q, 4*x - 5*q - 76 = 0. Let t(r) = -2*r + 1. Calculate the remainder when x is divided by t(-5).
8
Suppose -2*k = -0 - 6. Let a be (k/(-2))/(9/48). Let n = a + 13. Calculate the remainder when 9 is divided by n.
4
Suppose 0 = -3*p + 5*f - 81, 5*p + 28 + 120 = 4*f. Let q = p + 72. Calculate the remainder when q is divided by 14.
12
Suppose -3*f = -5*f. Suppose f = 5*a + b + 3 + 19, -5*a - 4*b - 28 = 0. Let x = -1 - a. What is the remainder when x is divided by 2?
1
Let g = -31 - -69. Suppose -3*k + 30 = -0*k. Calculate the remainder when g is divided by k.
8
Let s(m) = m**3 - 4*m**2 - 4*m + 4. Let o(r) = r**2 + 4*r + 3. Let k be o(-3). Suppose k*n = -2*n + 34. What is the remainder when n is divided by s(5)?
8
Suppose 0 = -4*y - 2*g + 50, -2*y - 8 = -3*g - 37. Suppose 0 = 3*h - 3*a - 99, -3*h + 4*a = -h - 56. Calculate the remainder when h is divided by y.
12
Let v = 30 + -24. What is the remainder when v is divided by 3?
0
Let l(y) = 40*y**2 - 2*y - 3. What is the remainder when 115 is divided by l(-1)?
37
Suppose 4*p - 10 = 10. Suppose -26 = p*n + 4. Let v = 14 + n. What is the remainder when 23 is divided by v?
7
Let s(f) = f**2 + 24. Let q be s(0). Suppose -18 = -3*h + q. What is the remainder when h is divided by 8?
6
Suppose -3*i - 2*i = -30. What is the remainder when 2 is divided by 3*1*2/i?
0
Let w = -34 + 75. Suppose -5*p + 95 = -2*n, 5*p - 35 - 85 = -3*n. What is the remainder when w is divided by p?
20
Suppose 173 = 5*r - 2. Let t = 105 - r. What is the remainder when t is divided by 24?
22
Let m = -129 + 207. What is the remainder when m is divided by 9?
6
Suppose -20 = 3*t - 7*t. What is the remainder when 13 is divided by t?
3
Suppose -3*a - 2*a + 20 = 5*b, 0 = -2*a - 3*b + 5. Suppose 3*i - 4*i + 15 = l, 3*l = -i + a. What is the remainder when i is divided by 10?
9
Suppose 0 = 2*k + 2*q, 0 = k - 3*q + 15 - 3. Let o(z) = -z**2 - 5*z - 3. What is the remainder when (35/(-5))/((-2)/2) is divided by o(k)?
1
Let h(n) = -1. Let f(x) = x - 4. Let v(u) = f(u) - 2*h(u). What is the remainder when 13 is divided by v(9)?
6
Let s(o) = 11*o - 6. What is the remainder when 51 is divided by s(3)?
24
Let f = 5 + -2. Let b = -3 - -3. Suppose 2*q + f*n = 46, b = -q + 2*n + 15 + 22. What is the remainder when q is divided by 15?
14
Let t(x) = -6*x - 2. Suppose -4*v + 60 = 2*v. What is the remainder when t(-5) is divided by v?
8
Let l(o) = -o**2 - 1. Let x(y) = -y**3 + 6*y**2 + y + 4. Let q(c) = -l(c) - x(c). Let r be q(5). Calculate the remainder when 2 is divided by (0 - -2)*(-4)/r.
0
Suppose 4*o - 2*o = 10. What is the remainder when 19 is divided by o?
4
Let o = 18 - 8. What is the remainder when 236/6 + 6/(-18) is divided by o?
9
Let w(s) be the first derivative of -5*s - 1/2*s**2 - 2. What is the remainder when 2 is divided by w(-6)?
0
Let y(k) = k**3 + k**2 + k + 10. Let h be y(0). Let s = h + -6. Supp