 Calculate the remainder when 6 is divided by t.
2
Let u(v) be the first derivative of v**4/4 - v**3/3 - 2*v**2 + 4*v - 5. What is the remainder when 19 is divided by u(3)?
9
Let f = -82 + 123. Suppose t = -185 + 199. What is the remainder when f is divided by t?
13
Suppose c + 3 = -y, -5*c + 2*y = y - 15. Suppose -c*j = -10 - 46. Suppose 5*o = 22 + j. Calculate the remainder when o is divided by 4.
2
Suppose 6*m - 2*m = g + 21, -2*g = m + 15. Let a = 21 - g. What is the remainder when a is divided by 8?
6
Let k be (-2)/4*(2 - 0). Let h = k - -16. Calculate the remainder when 44 is divided by h.
14
Let c(b) = b**3 - 8*b**2 + 7*b + 9. Calculate the remainder when 24 is divided by c(7).
6
Let k = -90 + 151. Calculate the remainder when k is divided by 32.
29
What is the remainder when 8 is divided by (-16 + 17)/(1 - 10/12)?
2
What is the remainder when 3 + 4/1 + 74 is divided by 14?
11
Let m(n) = n**2 + 4*n + 1. Let s be m(-8). Suppose -3 = -3*t + s. What is the remainder when 34 is divided by t?
10
Let i(x) = x**2 + 2*x - 6. Suppose -3*f = -9 + 24. Let s be i(f). Suppose p - s - 5 = 0. Calculate the remainder when 40 is divided by p.
12
Suppose 0 = -2*b + c - 5*c + 8, 4*c - 38 = -5*b. Suppose 12 = 4*m + 3*h - 49, h = -4*m + 71. Calculate the remainder when m is divided by b.
9
Let a = -26 + 56. Calculate the remainder when 88 is divided by a.
28
Suppose 2*y = 3*y - 17. Suppose 3*g + 5*j = 5 + y, 0 = g + 3*j - 6. Calculate the remainder when 23 is divided by g.
5
What is the remainder when (324/(-72))/(2/(-36)) is divided by 14?
11
Let x(n) = -n**2 + 10*n + 6. Let m = 8 + -6. Suppose -196 - 30 = -5*v - 3*d, -5*d - 78 = -m*v. Calculate the remainder when v is divided by x(9).
14
Let c(v) = -v + 3*v - 4*v + 1. Calculate the remainder when 13 is divided by c(-3).
6
Suppose -5*m + 60 = -m. What is the remainder when 27 is divided by m?
12
Let u(s) = -s**3 - 7*s**2 - 3*s + 8. Suppose -2 + 32 = -5*y. Let b be u(y). Let i = 3 - b. Calculate the remainder when i is divided by 7.
6
Let d = 5 + -6. Calculate the remainder when 6/(-3) - d - -42 is divided by (-1 - -1)/(-1) + 14.
13
Let n(x) = -x**3 - 4*x**2 - 3 + 4 + 3. Let t be n(-4). Suppose -t*l = -26 - 46. Calculate the remainder when 53 is divided by l.
17
Let z(m) = 2*m**2 + 7*m + 5. Let o be z(-4). Let h = o + -3. Calculate the remainder when 10 is divided by h.
4
Suppose -56 = -97*o + 96*o. Calculate the remainder when 162 is divided by o.
50
What is the remainder when (-28)/12 + (-5)/(-15) - -39 is divided by 20?
17
Let d be 2 + -1 - (-2 - -2). Suppose 1 = -u - 0. Let x = d - u. Calculate the remainder when 5 is divided by x.
1
Let q be -1*13/1*-1. Let z = 25 + q. Suppose 3*i + l - z = -3*l, -5*i - 5*l = -60. What is the remainder when i is divided by 4?
2
Let i = -253 + 439. Let d(f) = f**3 + 4*f**2 - 2*f - 1. What is the remainder when (6/9)/(4/i) is divided by d(-2)?
9
Let d = -4 - -6. Let h(z) = d*z - 5*z**2 - z + 15*z**2 + 2. What is the remainder when h(-2) is divided by 14?
12
Let d(c) = c**3 + c + 27. Calculate the remainder when d(0) is divided by 6.
3
Suppose 4*p + 3 = 23. Calculate the remainder when 16 is divided by p.
1
Suppose -2*j = -6*j + 216. Suppose -n + j = n. What is the remainder when 105 is divided by n?
24
Let x = -149 + 184. Suppose -3*l = 2*l - 45. What is the remainder when x is divided by l?
8
Suppose -2*j + 20 = 2*j. Suppose -4*m - 15 - j = -a, -2*a = 3*m + 15. Suppose -d - d + 28 = a. What is the remainder when 54 is divided by d?
12
Let a(j) = j**2 + 2*j + 1. Let f be a(-2). Let w = f - -1. Suppose z + 24 = w*z. What is the remainder when z is divided by 13?
11
What is the remainder when 118 is divided by 1 + (-21)/28 - (-119)/4?
28
Let u = 0 - 0. Suppose 2*k - 13 = -3*q, 5*k - 2*q - 4 + u = 0. Suppose -k*d + 5 = 5*r, -d + 3*r + 13 = 2*r. What is the remainder when d is divided by 4?
2
Suppose 3*o + 0*o - 18 = 0. Let k(a) = a + 1. Let d be k(o). What is the remainder when 5 is divided by (-2)/4 + d/2?
2
Suppose -q + 32 = -8. Suppose g + 5*h = 0, h = -3*g + 6*h + q. Suppose -27 + 175 = 4*v. What is the remainder when v is divided by g?
7
Suppose k - 5*n = 3*k - 62, 5*n = k - 16. What is the remainder when 154 is divided by k?
24
Let i = 70 - 49. What is the remainder when (-2)/10 + 612/10 is divided by i?
19
Let u(z) = z**2 + 2*z - 2. Let x be u(-3). Calculate the remainder when 2 + (7 - (x + 0)) is divided by 5.
3
Let g = 2 + 2. Suppose 65 = l + g*l. Suppose 26 - 63 = -o. Calculate the remainder when o is divided by l.
11
What is the remainder when 1 - -11 - (12 - 13) is divided by 3?
1
Suppose p = 2*c + 4*p - 10, -3*p - 12 = 0. Suppose -3*k + h = 62, h - 2*h = 3*k + 58. Let i = -14 - k. What is the remainder when c is divided by i?
5
Suppose -5*o + 26 = -2*p, p = 2*o + o - 12. What is the remainder when (-3)/p + 202/12 is divided by 6?
5
Suppose 3*o = 5*o. Let a be (3 + o)*(-14)/6. Let d = 5 - a. What is the remainder when 35 is divided by d?
11
Suppose -2*y = 4*n - 82, -5*n + 36 + 2 = y. What is the remainder when y is divided by (-12)/(-28) - (-316)/14?
20
Let c(r) = -2*r**2 + r - 4. Let w be c(3). Let l = w + 27. What is the remainder when 21 is divided by l?
5
Let u be 2/1 + -2*1. Suppose -16 = -u*b - 4*b. Suppose -3*w + 6*r = 3*r - 63, 0 = -b*w - 5*r + 102. What is the remainder when w is divided by 8?
7
Calculate the remainder when 61 is divided by (-128)/(-1 - 3)*1.
29
Suppose -3*g + 31 = 11*z - 7*z, -5*z - 4*g = -38. What is the remainder when 69 is divided by z?
9
What is the remainder when (-12)/(-3) + 7 + -3 is divided by 2?
0
Suppose -4*d = 3*c - 70, -3*c + d + 50 = -0*d. Let r = -5 + c. What is the remainder when 24 is divided by r?
11
Suppose 23*z = 12*z + 176. Let w = -76 - -138. Calculate the remainder when w is divided by z.
14
Suppose 73 + 1 = 4*d + 2*w, 2*d - 43 = -3*w. What is the remainder when 30 is divided by d?
13
Suppose 4*s = 2*r - r + 11, s + 21 = 5*r. Suppose r*g - 91 = 24. Calculate the remainder when g is divided by 6.
5
What is the remainder when (16 + -6)*(-12)/(-10) is divided by 8?
4
Suppose -d + 4*d - 5*q = 131, 2*q = 2*d - 90. Calculate the remainder when d is divided by 17.
13
Let n = 22 - -11. What is the remainder when 96 is divided by n?
30
Suppose -4*s = -7*s + 84. Let o = s + -17. Calculate the remainder when 42 is divided by o.
9
Suppose 2*s - 26 = 2. What is the remainder when 55 is divided by s?
13
Let i(p) = p**3 - p**2 + 2*p - 10. Suppose 0 = -c - 1 - 9. Let j = 26 + c. What is the remainder when i(4) is divided by j?
14
Let f be (-3)/1*(-186)/18. What is the remainder when f/2*(-2)/(-1) is divided by 11?
9
Let v be 56/(-9) + (-4)/(-18). Let f be (4/v)/(1/(-9)). Suppose 2*z - f = 16. Calculate the remainder when 20 is divided by z.
9
Suppose 5*g + 21 = -4. Let h = 2 - g. What is the remainder when 26 is divided by h?
5
Suppose 0 = 4*a + j - 83, 4*a - j = 2*a + 37. Suppose -188 = -9*v + 4*v + g, 3*v - 110 = 2*g. Calculate the remainder when v is divided by a.
18
Let y = 5 - -6. Calculate the remainder when 21 is divided by y.
10
Suppose 2*g - 6 = 2. Suppose 2*w - w + 1 = 0, z + g*w - 31 = 0. Suppose 3 = -5*u + 3*c + z, -u + c = -8. What is the remainder when 10 is divided by u?
2
Let d(q) = 2*q + 1. Let w be d(2). Suppose -1 = u - 0*u - 4*s, 0 = w*u + s - 16. Suppose x = -0*x + u. Calculate the remainder when x is divided by 2.
1
Suppose -5*q + 8*q = 159. What is the remainder when q is divided by 8?
5
Suppose -9 = -3*w, -3*w = 2*s - 8*w + 13. Let k be s + 0/1 - -117. Suppose 2*f + 3*r - 66 = -f, k = 5*f + 3*r. Calculate the remainder when f is divided by 9.
8
Suppose 3*n - y = 69, 4*n - y = -0*n + 93. What is the remainder when 68 is divided by n?
20
Let w(m) = 4*m**3 - 7*m**2 - 4*m + 1. What is the remainder when w(4) is divided by 33?
30
Suppose -156 + 21 = -5*j. Calculate the remainder when j is divided by 15.
12
Let t = -36 + 104. Calculate the remainder when t is divided by 24.
20
Let k = -42 - -107. What is the remainder when k is divided by 11?
10
Let l(s) = -159*s + 1 + 37*s - 1. Let t be l(-2). Suppose 2*h - t = -2*h. Calculate the remainder when h is divided by 21.
19
Let v be (-2 - -3) + -2 + 10. What is the remainder when 35 is divided by (-81)/6*(-12)/v?
17
Let k(h) = 10*h. Let t be 171/54 - 1/6. Suppos