the remainder when 20 is divided by f?
6
Suppose 0*d + 2*d - 120 = 0. Let q = d - 25. Calculate the remainder when q is divided by 18.
17
Suppose 15 = c - 0*q + 5*q, 35 = 2*c + 5*q. What is the remainder when 32 is divided by c?
12
Let x be -2 + (-24 + 1)*-1. Suppose -5*q = s + 12, s - q = 3*s - x. What is the remainder when 24 is divided by s?
11
Suppose 4*j = 78 + 154. What is the remainder when j is divided by 15?
13
Suppose 3*w + 16 = 7*w. Suppose -w*c + 74 = 5*l, 2*c - 74 = -3*l + 7*c. Calculate the remainder when 8 is divided by (1/2)/(3/l).
2
Suppose x = -x + 2*f + 30, -x + 27 = -5*f. What is the remainder when 20 is divided by x/54 - (-104)/18?
2
Let y be (1 - 1)/(-1) - -6. What is the remainder when 20 is divided by (-4)/y*(-84)/8?
6
Calculate the remainder when (-12)/(-21) - 1 - 1532/(-14) is divided by 16.
13
Let t be 1 + 12/(-4) - -22. Let k = t + -4. Calculate the remainder when 30 is divided by k.
14
Calculate the remainder when 22 is divided by (-5)/(-2)*(-16)/(-20).
0
Let w = 0 - -4. Suppose 8 = 5*u + 63. Calculate the remainder when u/(-2)*(-1 + 3) is divided by w.
3
Suppose -128 = -5*t + 47. Calculate the remainder when t is divided by 12.
11
Suppose g + 43 = 3*v, 3*g + 65 = 5*v - 0*v. Let a(h) = h**3 - 8*h**2 + 5*h + 5. What is the remainder when a(8) is divided by v?
13
Let m(a) = -17*a**2 - a + 1. Let i(v) = -84*v**2 - 5*v + 5. Let q(p) = 2*i(p) - 11*m(p). Calculate the remainder when 37 is divided by q(1).
18
Let k(c) = 5*c**2 - 1. Calculate the remainder when 6 is divided by k(-1).
2
Suppose 3*m - 2*m + 3 = 5*w, 2*m - 7 = -3*w. Let y(j) = m + 5 - 2*j - 2. What is the remainder when y(-4) is divided by 5?
3
Suppose 2*a - 6 = 0, -3*c = -4*a - 0*a + 12. Suppose -d + 4 + c = 0. Calculate the remainder when d is divided by 2.
0
Suppose -8*m + 24 = -5*m. Calculate the remainder when m is divided by 4.
0
Let b(n) = n**3 - 2*n**2 - 5*n + 4. Let v = -5 + 9. Calculate the remainder when 31 is divided by b(v).
15
Let a(k) = -k - 25. Let u be a(0). Suppose 1 = -3*m - 50. Let s = m - u. Calculate the remainder when s is divided by 5.
3
Let d(m) = m**3 + 8*m**2 - 3*m - 2. What is the remainder when 42 is divided by d(-8)?
20
What is the remainder when 16 is divided by 8/60 + (-176)/(-30)?
4
Let g = 131 - 119. What is the remainder when 129 is divided by g?
9
Suppose 4*r + 70 = -18. Let a = r + 63. What is the remainder when a is divided by 14?
13
Suppose -n + 6*o + 25 = 4*o, 4*n + 3*o - 122 = 0. Let w = -1 + n. Suppose -15 = -5*r, k + r = 2*k - 12. Calculate the remainder when w is divided by k.
13
Let h = -44 + 53. What is the remainder when 14 is divided by h?
5
Let b(w) = -w**3 + w + 52. Let g(d) be the first derivative of -d**3/3 + 4*d**2 + 2*d + 1. What is the remainder when b(0) is divided by g(4)?
16
Let x(p) = -p**3 + 8*p**2 - 4*p - 3. Suppose 0 = -2*v + 8, -3*s + 29 + 61 = -3*v. Calculate the remainder when s is divided by x(7).
16
Suppose 2*y + 4*h - 15 = 69, h = -2*y + 75. Suppose 0*j + 4*j - y = 0. Calculate the remainder when 47/3 + 4/12 is divided by j.
7
Let p = 12 + -8. Suppose -p*k + 2*i - 2 = -0, 3*i - 9 = 0. Suppose -t = -k, t - 22 = -3*w + 6*t. Calculate the remainder when 33 is divided by w.
6
Let v(c) be the first derivative of c**4/4 - 8*c**3/3 - 7*c**2/2 - 12*c - 1. Let d be -9*(-2)/8*4. What is the remainder when 10 is divided by v(d)?
4
Suppose 4*t + 20 = 0, -2*q + 8 + 48 = 4*t. What is the remainder when q is divided by 15?
8
Let h = -22 + 33. Suppose -4*l + h = -57. What is the remainder when l is divided by 9?
8
Let w = -38 - -68. What is the remainder when 0/(-15) - (0 - w) is divided by 16?
14
Suppose 0 = 16*o - 60*o + 572. Suppose -5*s + 2*s = 6. Let b(d) = 13*d**2 + 2*d + 3. Calculate the remainder when b(s) is divided by o.
12
Let n(x) = -x**2 + 2*x + 4. Let r be n(3). Let m be (r - 2)/((-1)/(-11)). Let p = 30 + m. What is the remainder when 36 is divided by p?
17
Suppose -4*m = 35 - 131. What is the remainder when 95 is divided by m?
23
Suppose -5*p - 5 + 15 = 0. Calculate the remainder when 58/12 + 1/6 is divided by p.
1
Let a be 3 - 3 - (-1 - 5). Let k(r) = -7. Let x(u) = -u - 13. Let j(b) = 5*k(b) - 2*x(b). What is the remainder when 7 is divided by j(a)?
1
Suppose -3*g + 189 = -0*g. What is the remainder when g is divided by 16?
15
Suppose 0 = 7*b - 92 - 153. Calculate the remainder when b is divided by 15.
5
Suppose 5*m - 5*t - 145 = 0, 5*m + 2*t = 4*t + 154. What is the remainder when m is divided by 17?
15
Let v(d) = 2*d**2 + 1. Let i be v(2). Let y(g) = g**3 - 8*g**2 - 10*g + 10. Calculate the remainder when 1 is divided by y(i).
0
Calculate the remainder when -3 - (-4 + 1 + -47) is divided by 12.
11
Let o(z) = 6*z**2 - z - 5*z**2 + 4*z**2. Let k be o(1). Suppose 3*v - 2*v - k*c = 26, 0 = 4*v + 4*c - 4. Calculate the remainder when 11 is divided by v.
5
Let a(w) = 2*w + 1. Calculate the remainder when (4/2)/((-2)/(-3)) is divided by a(1).
0
Suppose -5*t - 5 = 55. Let q = t - -22. Calculate the remainder when 19 is divided by q.
9
Let h = -37 + 68. What is the remainder when 89 is divided by h?
27
Suppose -7 = -4*l + 9. What is the remainder when 13 is divided by l?
1
Let r = 59 - 56. What is the remainder when 7 is divided by r?
1
Let r = -12 - -22. Let q = r - 18. Let p(v) = -v**3 - 9*v**2 - 9*v + 3. What is the remainder when 31 is divided by p(q)?
9
Suppose w + 12 = -5*y, 0 = -2*w - 0*y + y + 9. Suppose -7*u + w*u + 276 = 0. Calculate the remainder when u is divided by 24.
21
Suppose 3*n = 2*n + 3*z - 179, 336 = -2*n - 5*z. Let c = -123 - n. Calculate the remainder when c is divided by 17.
16
Let d(q) be the first derivative of 3*q**3 - 3*q + 3. Let f(w) = -9*w**2 + w + 4. Let l(v) = 3*d(v) + 2*f(v). Calculate the remainder when l(1) is divided by 4.
2
Calculate the remainder when 32 is divided by ((-36)/(-20))/(-3)*-15.
5
Suppose -z + 129 = 4*c, 2*z = -3*c + 7*z + 68. Let o = -11 + 22. Calculate the remainder when c is divided by o.
9
Let w be (-4)/14 - (-96)/(-56). Let b = w - -16. Calculate the remainder when 26 is divided by b.
12
Suppose -2*h = 3*w + 3, 0 = h - 4*w - 0*w + 7. Calculate the remainder when 46 is divided by -1 - -17*(-3)/h.
14
Suppose 3*i = -d + 154, i + 2*d - 5*d - 68 = 0. What is the remainder when i is divided by 14?
11
Suppose -4 = -2*q + 18. Let w = 18 - 10. Calculate the remainder when q is divided by (w/(-2) - -3)*-4.
3
Let r be 34/2 + -1*2. Calculate the remainder when 260/25*r/6 is divided by 9.
8
Let a = -9 + 28. Calculate the remainder when 74 is divided by a.
17
Let h = 1 - -2. What is the remainder when h is divided by 2?
1
Let y be 1 + -5*(-6 - -2). Suppose -y = -3*a + 45. Calculate the remainder when a is divided by (-312)/(-54) + 12/54.
4
Suppose -3*s = -4*s + 21. Let q = 48 + s. Calculate the remainder when q is divided by 18.
15
Suppose 0 = 3*c + c + 2*l - 4, 4*c + 5*l - 10 = 0. Suppose -w = -c*w - 52. What is the remainder when w is divided by 18?
16
Let v = 15 + -14. Let w = -76 + 113. Calculate the remainder when (w/2 - v)*2 is divided by 12.
11
Let y(k) = k - 2. Suppose 2*r - 2 = 8. Suppose 18 - 53 = -r*m. Calculate the remainder when 8 is divided by y(m).
3
Let u be (1 - 2) + -1 + 0. Suppose -j + 68 = 10. What is the remainder when j is divided by (6/3)/u - -21?
18
Suppose 2*i - 4 + 0 = -2*s, -4*s = -5*i + 10. Suppose 4*z + r - 9 - 35 = s, -3*z + r + 33 = 0. What is the remainder when z is divided by 4?
3
Let m = 45 + -18. Calculate the remainder when m is divided by ((-4)/6)/((-2)/21).
6
Let b = 7 - 4. Suppose -b*d - 107 = -4*t, -5*d - 102 = -4*t - 3*d. What is the remainder when t is divided by 12?
11
Let r(u) = u**3 - 6*u**2 - 7*u + 5. Let x be r(7). What is the remainder when 157/5 + (-2)/x is divided by 11?
9
Suppose 0 = 5*i - 133 - 197. Suppose 2*b - 98 = -5*f, -f = -4*f - 5*b + 55. What is the remainder when f is divided by ((-3)/(-6))/(3/i)?
9
Let b(g) = -g**3 + 4*g + 8. Suppose -2*j = 2*j. Suppose -12 = -j*l - 4*l. What is the remainder when b(-2) is divided by l?
2
Suppose -8 = -3*r + 2*r. Calculate the remainder when 53 is divided by r.
5
Let j = -13 + 24. Calculate the remainder when j is divided by 3.
2
Let a(h) = -h**2 + 2*h + 65. Calculate the remainder when a(0) is divided by 23.
19
Suppose -2*b - 28 = -x, -2*x + 8*b = 3*b - 54