+ 3*z. What is the remainder when a is divided by 7?
4
Suppose 0 = 8*b - 3*b - 110. Suppose 0 = -m + 16 + b. Let p(h) = 9*h**3 + h**2 - h + 1. What is the remainder when m is divided by p(1)?
8
Let a(k) = -16*k - 6. Suppose 4*g - 4*i - 31 = 61, 26 = g - 2*i. What is the remainder when a(-4) is divided by g?
18
Suppose -2*x + 3*m + 49 = -0*m, 4*x + 4*m - 68 = 0. Suppose -272 = -4*q + 2*c + 46, 2*q + 2*c = 144. Calculate the remainder when q is divided by x.
17
Let f(a) = -a**2 - 4*a + 3. Let s be f(-4). Let y = s - 1. Calculate the remainder when 6 is divided by y.
0
Let p(h) = h**2 + 9*h - 3. Let q be p(-8). What is the remainder when 16 is divided by (-97)/q - 6/(-33)?
7
Let v(o) = 107*o**2 - 8*o - 7. Calculate the remainder when v(-1) is divided by 55.
53
Suppose -4*h + 14 = f - h, 5*h - 16 = -f. Let u(w) = w + 9. Calculate the remainder when u(21) is divided by f.
8
Let n(w) be the first derivative of -w**3/3 + 11*w**2/2 + 9*w - 3. What is the remainder when n(10) is divided by 7?
5
Let o(n) = -22*n**2 + 3*n - 2. Let y be o(4). Calculate the remainder when y/2*(-3)/9 is divided by 29.
28
Let k be (-1)/(-4) - (-15)/4. Let u be 4/(-20) - 852/(-10). Suppose -2*f + 13 + u = k*d, 0 = -4*d - 3*f + 95. Calculate the remainder when d is divided by 9.
8
Let f(r) = r**2 - 10*r + 4. Let k be f(10). Suppose -11 = -k*s + 17. Let y = -2 - -5. Calculate the remainder when s is divided by y.
1
Suppose 7*g = -0*g + 14. Calculate the remainder when g is divided by (-36)/(-21) + 4/14.
0
What is the remainder when (-4)/(4 - (-16)/(-3)) is divided by (-4)/14*42/(-6)?
1
Let x(j) = 3 - j - 7 + 0*j. Let f = -3 + -2. Calculate the remainder when 2 is divided by x(f).
0
Suppose 3*v - 1 = -i + 4*v, 8 = 5*i - 2*v. Let x(c) = 7 + 2*c + i*c**2 - 1 - c**2. What is the remainder when x(-7) is divided by 14?
13
Let n(p) = p**2 - p - 1. What is the remainder when (20/15 - 1)*39 is divided by n(3)?
3
Suppose 3*q + 3 = 9. Let y = 60 - 18. Suppose 0 = v + q*v - y. Calculate the remainder when v is divided by 8.
6
Let i = 46 + -39. Suppose 68 = 3*l - 2*k, -2*l - 4*k = -8*k - 56. What is the remainder when l is divided by i?
6
Let f(t) = t**3 - t**2 + t + 6. Let b be f(0). Suppose 3*y - 21 = -b. What is the remainder when 7 is divided by y?
2
Let x(s) = s**3 - 5*s**2 - 6*s + 2. Let f be ((-2)/4)/(1/(-12)). What is the remainder when (-2 + 4)/(2/5) is divided by x(f)?
1
Let p(n) = 24*n - 3. Suppose 5*h = 5*i + 60, -2*i = 6 - 14. Calculate the remainder when p(2) is divided by h.
13
Let h be (-213)/(-9) + (-1)/(-3). Suppose 5*g - h = 1. Suppose 4*q = q + 9. What is the remainder when g is divided by q?
2
Suppose -4*c = c - 260. Suppose -5*i + m = -170, 16 = 2*i - 2*m - c. Calculate the remainder when i is divided by 12.
10
Let v be (-9 - 5) + -2 + 0. Let i = -4 - v. What is the remainder when i is divided by 5?
2
Suppose -6*i - 12 = -2*i. Let m = 59 - i. Calculate the remainder when m is divided by 16.
14
What is the remainder when 138 is divided by ((-30)/24)/((-1)/16)?
18
Let v(s) = -s**3 + 7*s**2 + 6*s + 4. Let k = 16 + -11. Suppose k*i - 3*i - 14 = 0. What is the remainder when v(i) is divided by 16?
14
Let k = -72 + 77. What is the remainder when 22 is divided by k?
2
Let k = 29 - 18. Suppose -5*r - 160 = -10*r. Calculate the remainder when r is divided by k.
10
Suppose -2*j - 73 = -217. Calculate the remainder when j is divided by 15.
12
Let n(l) = 11*l**2 - 6*l - 5. Suppose 6*q + 2*w - 194 = 2*q, q = -3*w + 56. What is the remainder when q is divided by n(-1)?
11
What is the remainder when (-837)/(-18)*(16/6 + -2) is divided by 9?
4
Suppose -3*x + 50 - 2 = 0. Suppose -5*u + 33 - 3 = 0. Let o = x - u. Calculate the remainder when o is divided by 4.
2
Let q(y) = -y**3 - 6*y**2 - 6*y + 1. Let g(l) = -l**3 - 22*l**2 + 20*l - 46. What is the remainder when g(-23) is divided by q(-5)?
5
Let l = -7 - -17. Suppose 3*n + 62 = -2*r + 4*r, -5*r - l = 0. Let p = -8 - n. What is the remainder when p is divided by 8?
6
Let c = 13 + -20. Let q = c + 11. Calculate the remainder when 10 is divided by q.
2
Suppose 2*y - 20 = -3*y. Suppose 4*o - 5*a = 20, 0*o + 3*a = 4*o - 28. Calculate the remainder when o is divided by y.
2
Suppose 3*k - 14 = 19. Suppose u + 7 = k. Suppose 32 + 3 = 5*q. Calculate the remainder when q is divided by u.
3
Let c(o) = o**2 - 8. What is the remainder when 32 is divided by c(5)?
15
Suppose 0 = -v - 2*v + 57. What is the remainder when 73 is divided by v?
16
Suppose 5*q - 2*m = 2*m + 22, 0 = -2*q - m + 1. Let t = 3 + 11. Let p = t - 7. Calculate the remainder when p is divided by q.
1
Let f(u) = -5*u - 47. Let z(l) = l. Let i(a) = -f(a) - 4*z(a). What is the remainder when i(0) is divided by 12?
11
Let c = 27 - 11. Suppose 0 = -3*h + 3*u + 2*u + 19, -2*h = -4*u - c. Let b = h + 4. Calculate the remainder when 5 is divided by b.
1
Suppose -3*k + 13 - 37 = 0. Let x(t) = t**2 + 7*t - 3. Calculate the remainder when 17 is divided by x(k).
2
Let y(u) = -u**3 + 18*u**2 - 14*u + 20. What is the remainder when y(17) is divided by (-17 - 1)*(-3 + 2)?
17
Let o = 133 - 102. Suppose -5*z - 5*f = 65, 4*z + 43 = -0*f - f. Calculate the remainder when o is divided by -5*(32/z - 0).
15
Let s = 18 + -54. Let l = 68 + s. Let k(d) = 3*d - 1. What is the remainder when l is divided by k(4)?
10
Let p = 28 - 13. What is the remainder when 53 is divided by p?
8
Let h = 56 - 42. Calculate the remainder when h is divided by 8.
6
Suppose -2*n - m = -51, -2*n - 4*m + 17 = -25. What is the remainder when 52 is divided by n?
25
Let f(a) = -a**2 - a - 1. Let v(m) = m**3 + m**2 - 3*m - 7. Let n(b) = 2*f(b) + v(b). Calculate the remainder when n(5) is divided by 17.
15
Let g(q) = -q**2 + 10*q + 9. Let h(y) = y + 1 - 5*y + y. Calculate the remainder when h(-5) is divided by g(10).
7
Suppose -13*q = -15*q + 98. Calculate the remainder when q is divided by 17.
15
Suppose -4*d = 16, 5*d + 25 = 3*s - 7. Calculate the remainder when 5 is divided by s.
1
Let h(a) = 2*a**2 - 15*a - 4. What is the remainder when h(11) is divided by 25?
23
Suppose 2*l + 7 = 3. What is the remainder when (-18 - 1/(-1))*l is divided by 12?
10
Suppose -60 = 3*s - 8*s. Let l = s + -7. What is the remainder when 12 is divided by l?
2
Let y(k) = -k**3 - k**2 - k. Let u(f) = -5*f**3 + f**2 - 8*f + 2. Let q(d) = u(d) - 6*y(d). What is the remainder when q(-7) is divided by 9?
7
Suppose -l + 40 = 4*l. Let q = -3 + l. Calculate the remainder when q is divided by (-4)/(-3)*(-6)/(-4).
1
Suppose -c + 2 = 4. What is the remainder when (-1 - 4)*6/c is divided by -4*(-4)/2*1?
7
Let w be (-4)/((3 + -2)*1). Let g be 6/w*(-32)/6. Suppose -2*b = 2*a - 14, 4*a + 0*b - b - g = 0. Calculate the remainder when 10 is divided by a.
1
Suppose -34 = 2*d + 6. Let k = 29 + d. What is the remainder when k is divided by 6?
3
Suppose -2*a + 4*n = -30, -5*a + 2*n + 29 = -2*a. Calculate the remainder when 53 is divided by a.
4
Let z(a) = a**2 + 4*a + 1. Calculate the remainder when z(-6) is divided by 1*15/(12/4).
3
Let j(s) = -2*s**3 + 2*s**2 + s - 1. Let k(b) = -b**2 + 7*b - 2. Let n be k(7). What is the remainder when j(n) is divided by 6?
3
Let m = -86 + 148. Suppose 0 = 5*z + 3*r - 114, 3*z = -2*z + 3*r + 96. Calculate the remainder when m is divided by z.
20
Suppose -3*d + 40 = z, -4*z + 0*z = 5*d - 76. Suppose u = -2*u + 135. Calculate the remainder when u is divided by d.
9
Suppose -3*k + 10 = 2*h, 4*k = 3*h - 0*k - 32. Calculate the remainder when 54 is divided by h.
6
Suppose 5*m - 18 = -b, -5*b - m = -141 - 21. Calculate the remainder when b is divided by 17.
16
Suppose 3*d - 111 - 36 = 0. Calculate the remainder when d is divided by 17.
15
Suppose -j + 10 = j. Suppose 4*l - 41 = 5*t, 2*t - 6*t = -j*l + 49. Suppose d = 23 + 3. What is the remainder when d is divided by l?
8
Let d = 15 - 6. What is the remainder when 35 is divided by d?
8
Let p = 64 - 49. Calculate the remainder when 102 is divided by p.
12
Let j(n) be the third derivative of -n**4/24 + 2*n**3/3 + 3*n**2. Calculate the remainder when 26 is divided by j(-5).
8
Let q = -81 - -102. Calculate the remainder when 59 is divided by q.
17
Suppose 2 - 5 = 3*u, 3*l + 2*u = -2. Suppose l = m - 0*m - 28. Calculate the remainder when (2/(-4))/((-2)/m) is divided by 5.
2
Let s be ((-6)/(-4)