when 6 is divided by a?
0
Let t(h) = h**2 + 4*h + 78. What is the remainder when t(0) is divided by 14?
8
Let s(n) = n**3 - 8*n**2 + 9*n. Calculate the remainder when 81 is divided by s(7).
11
Suppose 3*w - 5*q = w - 15, 5*q = -4*w + 45. Suppose -4*u + w*u = 2. Suppose -u*h - 24 = -5*h. What is the remainder when 22 is divided by h?
6
Let z(v) = 4*v + 7. What is the remainder when z(8) is divided by 15?
9
Suppose 0 = -4*p + 116 + 64. What is the remainder when p is divided by 16?
13
Calculate the remainder when (-267)/(-9) - (-8)/6 is divided by 18.
13
Let h(a) = 9*a - 6. What is the remainder when 128 is divided by h(2)?
8
Let h = -8 + 33. Calculate the remainder when h is divided by 14.
11
Suppose 3*z + 2*z = 20. Let t = z - 2. What is the remainder when (-5)/(50/(-44)) - (-4)/(-10) is divided by t?
0
Let a(m) = m**2 + 10*m. Let o be a(-5). Let w = 65 + o. What is the remainder when w is divided by 14?
12
Let o = 1 + 4. What is the remainder when 13 is divided by o?
3
What is the remainder when 59 is divided by 14/(-7) - (-2 - -3)*-12?
9
Let i be (-2 - -1)*0/(-4). Suppose -4*s + 2*c = -12, 3*c - c = i. What is the remainder when (-2)/4 - 30/(-4) is divided by s?
1
Let l = -18 - -84. Let f = l - 43. Calculate the remainder when f is divided by 12.
11
Let y = 7 - 5. Suppose -y*a + 20 = 3*a. Suppose 7*u - 2*u = 55. Calculate the remainder when u is divided by a.
3
Let s be 46/10 + 18/45. Suppose q - 3*a = -9, -16 = -3*q - 3*a + s. Calculate the remainder when 6 is divided by q.
0
Let n(i) = -i**2 + 2. Let g(a) = -a - 2. Let p be g(-2). Let v be n(p). Suppose v*o - o - 34 = 0. What is the remainder when o is divided by 12?
10
Let r be -2 - ((-5 - -1) + 1). Calculate the remainder when 45 is divided by 18 + -1*(r + 1).
13
Suppose 0 = 2*c + 2, -4*n - 3*c + 11 = -138. Suppose n = 3*t - 13. Calculate the remainder when 66 is divided by t.
15
Suppose 4*j - 55 = -j. What is the remainder when 28 is divided by j?
6
Suppose 0 = 4*z - 54 - 138. Calculate the remainder when 187 is divided by z.
43
Let r = -6 - -8. Calculate the remainder when 6 is divided by r.
0
Let b(x) = -x + 15. Let d be b(0). Suppose 4*p - 3*o = -d, -5*p - 1 = 5*o - 26. Suppose -n + p*n + 31 = 0. Calculate the remainder when n is divided by 16.
15
Let q = -11 + 17. Calculate the remainder when 10 + (-2 + 2)/(-1) is divided by q.
4
Suppose -4*j + 2*j + 10 = 0. Suppose -16 = -5*t - 1. What is the remainder when j is divided by t?
2
Let u(n) = n. Let w be u(0). Suppose -2*s + 60 = 4*x - w*s, 3*x = -5*s + 38. Calculate the remainder when x is divided by 6.
4
Suppose -3*u + 7*u = 40. Suppose g = -w + 9, g + 6 = 2*w - 0*w. What is the remainder when u is divided by g?
2
Suppose -109 = -4*h + 3. What is the remainder when h is divided by 10?
8
Let t(r) = -r - 7. Let w be t(-11). Suppose 43 = 5*v + w*l, 5*v + 3*l + 2*l = 45. What is the remainder when v is divided by 2?
1
Let c = 38 - 1. Let y = 4 + 16. What is the remainder when c is divided by y?
17
Suppose 0 + 14 = 2*i. Let a(n) = -n**3 + 9*n**2 - 7*n + 3. What is the remainder when a(i) is divided by 1*(162/3)/3?
16
Let j(k) = k + 15. Let q be j(0). Suppose -b + 5*y + 23 = 0, -4*y = 1 + q. Calculate the remainder when ((-1)/(-2))/(2/16) is divided by b.
1
Suppose -o + 0*o + 92 = 0. What is the remainder when o is divided by 31?
30
Suppose -4 - 16 = -4*x. Suppose -u - x*b = -43 - 20, -2*b - 230 = -4*u. Calculate the remainder when u is divided by 15.
13
Let y(u) = u**3 + 8*u**2 - 10*u + 6. Calculate the remainder when 59 is divided by y(-9).
14
Let i(k) be the third derivative of k**5/60 + 7*k**4/24 - k**3/3 - 4*k**2. Let t(g) = g**2 - 4*g + 6. Calculate the remainder when i(-9) is divided by t(4).
4
Let l = -28 - -33. What is the remainder when 8 is divided by l?
3
Suppose 2*o = 8*b - 4*b + 144, -o = 2*b - 92. What is the remainder when o is divided by 14?
12
Let t(c) = c**3 + 9*c**2 - 10*c + 4. Let d be t(-10). Suppose 0 = -d*n + 20, i - 5*i + 18 = 2*n. Calculate the remainder when (1 + -3)*(-5)/2 is divided by i.
1
Let g(z) = -z - 3. What is the remainder when 18/(-8)*32/(-6) is divided by g(-10)?
5
Let n(s) = -5*s**2 + 2*s - s - 6 - 7*s - s**3. What is the remainder when n(-6) is divided by 17?
15
Calculate the remainder when 35 is divided by -7*(-3)/21*12.
11
Suppose -q + 0*q = 0. Suppose z + 0*z = q. Suppose 4*s - s - 6 = z. Calculate the remainder when 2 is divided by s.
0
Suppose 4*k = -3 + 63. Suppose 5*o + 69 = -m + 2*m, -53 = -m - 3*o. Calculate the remainder when m is divided by k.
14
Let h = -288 + 330. What is the remainder when h is divided by 1/4 + 261/12?
20
Let t(z) = 7*z**2 + 3*z - 3. What is the remainder when t(2) is divided by 12?
7
Suppose -2*v - 3*v - 130 = 0. Let z = 50 + v. What is the remainder when z is divided by 13?
11
Suppose -4*k + b = -347, 3*b - 367 = -5*k + 88. Suppose 0*f - k = -4*f. Let w = -26 - -38. What is the remainder when f is divided by w?
10
Let z = 12 + -4. Suppose 12 = 3*j - l + 367, 585 = -5*j - 5*l. Calculate the remainder when j/(-8) - (-3)/12 is divided by z.
7
Suppose -3*f = 4*b - 53, 0*f + 56 = 3*b - f. What is the remainder when 32 is divided by b?
15
Let c(z) = -z**2 - 8*z - 8. Let u be c(-6). Suppose -u*o - 12 = -28. Suppose -3 = -y, 2*m = 4*y + 6 + 2. Calculate the remainder when m is divided by o.
2
Let d be 20/1*36/30. Calculate the remainder when 5 is divided by ((-9)/(-6))/(9/d).
1
Let c = 75 - 53. Calculate the remainder when c is divided by 6.
4
Suppose 2*j = g + 54, j - 54 = -j - g. What is the remainder when 77 is divided by j?
23
Let j(y) = -y - 1. Suppose 2*p - 160 = -2*p. Suppose -5*m = -2*s + p, 0 = -4*m - 0*m + s - 29. What is the remainder when 9 is divided by j(m)?
4
Let h(j) = j**3 - 11*j**2 - j + 14. Let x be h(11). Let m be 4/x*(-6)/(-4). What is the remainder when 15 is divided by (3 + -7)/(m/(-2))?
3
Suppose 126 = -19*h - 2*h. Let d(k) = 2*k**2 + 1 + k - 6 - k**2. Calculate the remainder when d(h) is divided by 7.
4
Suppose 3*d - 27 = -3*b, -b = -2*b + 3*d + 9. Let q(v) = 7*v + 3. Calculate the remainder when q(3) is divided by b.
6
Let j be (2/(-4))/((-1)/(-12)). Suppose n + 2*o = -n - 4, 0 = 3*o. Calculate the remainder when (-70)/(-3) - n/j is divided by 12.
11
Suppose 0*c + 4 = 2*c. What is the remainder when 2 is divided by c?
0
What is the remainder when 29 is divided by (-2)/15*3 + 124/10?
5
Let o(d) be the first derivative of -d**3/3 - 3*d**2 + d - 2. Calculate the remainder when 1 is divided by o(-6).
0
Suppose -4*y - y = -30. Suppose j + 2*j = y. What is the remainder when 6 is divided by j?
0
Let w(s) = -s**2 + 10*s - 7. What is the remainder when 5 is divided by w(9)?
1
Suppose 0 = 5*m + 5*l - 70, l - 10 = -l. Calculate the remainder when (-1)/(-4) - 6/((-120)/295) is divided by m.
6
Let t(g) = -2*g - 2. Let v be t(-2). Let i(s) = -7 + 2 + 3 - v*s. Calculate the remainder when 22 is divided by i(-5).
6
Let v(w) = 2*w + 2. Let p be v(-4). Let m(o) = -3*o - 1. Calculate the remainder when m(p) is divided by 6.
5
Suppose 2*c = 3*l - 8, -5*l + c + 14 + 11 = 0. Suppose 3*x - 2*u + 4 = 31, -39 = -3*x - 2*u. What is the remainder when x is divided by l?
5
Let l(k) = k**3 + 10*k**2 + 18*k - 11. What is the remainder when 18 is divided by l(-7)?
8
Suppose 2*f = 2*i - 28, 0*f = -f - 2. Let t = 79 - 56. What is the remainder when t is divided by i?
11
Let a = 22 - -11. Suppose 0 = -5*d + 27 - 2. Suppose o = 2*i - 30, d*i + 5*o - 54 = 51. What is the remainder when a is divided by i?
16
Let l = -31 + 42. Calculate the remainder when l is divided by 3.
2
Suppose 6*a - 540 = -9*a. What is the remainder when a is divided by 8?
4
Let k(h) = h**3 + 6*h**2 + 3*h - 5. Let z be 106/9 + 10/45. Suppose 38 = 2*x + z. What is the remainder when x is divided by k(-5)?
3
Suppose 0 + 2 = 2*s, -4*h - 26 = 2*s. Let b(m) = m**2 + 8*m + 6. Let c be b(h). Calculate the remainder when 49 is divided by 2*c/(-2) + 12.
10
Let n be -1 - 3/1*-1. Suppose 3*w + n*q = -2*w + 123, -3*q = -4*w + 80. Let f = -6 + 18. What is the remainder when w is divided by f?
11
Let o(z) = -z**2 + z + 1. Let p be o(2). Let i = p + -1. What is the remainder when 10 is divided by 3 - (1 + 0) - i?
2
Let k = 85 + -60. What is the remainder when k is divided by 13?
12
Let b(w) = w + 5. Calculate the remainde