7
Suppose 4*j - 58 - 106 = 0. What is the remainder when j is divided by 14?
13
Let j(a) = 13*a**2 + a + 2. Let h(t) = -t**2 + 1. Let p(s) = -3*h(s) + j(s). Calculate the remainder when p(1) is divided by 6.
4
Let i = 3 + -1. Calculate the remainder when (1 + (-1 - i))*-15 is divided by 8.
6
Let o(v) = -4*v**3 - 2*v**2 - 5*v - 7. Let x(u) = 4*u**3 + 2*u**2 + 4*u + 6. Let t(h) = -4*o(h) - 5*x(h). What is the remainder when t(-2) is divided by 8?
6
Let h(o) = -2*o**3 - 3*o**2 - 3*o. Suppose -2*z + 3*z - 1 = s, 5*z = s - 7. What is the remainder when h(z) is divided by 3/(9/6) + 4?
4
Let w(a) = -a**3 + 2*a**2 + 3*a + 4. Let c be w(3). Suppose c*l = -l + 95. What is the remainder when l is divided by -1*11*(-30)/30?
8
Let q be (7/2)/((-3)/(-6)). Suppose -1 - q = -z. Calculate the remainder when -15*2/(2*-1) is divided by z.
7
Suppose d = x, -5*x - 9*d + 30 = -4*d. Calculate the remainder when 13 is divided by 0 + -3 + (10 - x).
1
What is the remainder when 6 is divided by (1/2)/(-1 + 5/4)?
0
Suppose 2*v - l - 156 = -3*l, 153 = 2*v + 3*l. Suppose 0 = -s + 4*g + v, -6*g - 360 = -5*s - g. What is the remainder when s is divided by 18?
15
Suppose 0 = -37*l + 44*l - 238. Let b be (-1 - -3)/((-4)/(-6)). Suppose -2*m - b*m + 90 = 0. Calculate the remainder when l is divided by m.
16
Let q = -2 - -36. Calculate the remainder when q is divided by 12.
10
Suppose -5*g + 523 = -3*w + 5*w, 0 = g + 3*w - 102. Calculate the remainder when g is divided by 36.
33
Let b = 7 - 2. Calculate the remainder when 7 is divided by b.
2
Suppose 4*o - 8*n = -6*n + 230, -3*o + 5*n = -169. Suppose -o - 14 = -4*s. What is the remainder when (-50)/(-1) - 9/(-3) is divided by s?
17
Let v(t) = t**3 + 35*t**2 - 35*t + 51. Let m be 7*-4 + 4/(-2). Let b = m - -59. Calculate the remainder when b is divided by v(-36).
14
Let z be (-1)/(-1 + (-20)/(-22)). Let q = z + -1. Suppose 0 = 9*p - 117 - 54. Calculate the remainder when p is divided by q.
9
Suppose 4*u - 102 = 34. Calculate the remainder when u is divided by 13.
8
Suppose 2*f = -u + 14, 0*u + 34 = 2*u + 2*f. Calculate the remainder when 38 is divided by u.
18
Let j(l) = l**2 + l. Suppose -11*v = -13 - 9. Calculate the remainder when j(-2) is divided by v.
0
Let g = 21 + -54. Let j = g - -58. Calculate the remainder when j is divided by 14.
11
Let w be 1/3 - 10/3. Let f(n) = 2*n. Let j be f(w). What is the remainder when 103/3 + (-4)/j is divided by 18?
17
Suppose 3*o = -0*n + 4*n - 14, -o + 2*n = 8. Calculate the remainder when 0 + o - 3 - -42 is divided by 11.
8
What is the remainder when 75 is divided by ((-26)/(-10) - 3)/((-2)/130)?
23
Suppose 5*p + 2*u - 27 = 0, 4*p - 30 + 14 = 4*u. Suppose a - t = 2 - 1, 0 = -4*a + 3*t - 1. What is the remainder when p is divided by ((-3)/4)/(1/a)?
2
Let z(f) be the second derivative of -5*f**3/2 - f**2 + f. Calculate the remainder when z(-4) is divided by 15.
13
Let p(l) = 4*l**3 + 3*l - 2. Calculate the remainder when 9 is divided by p(1).
4
Suppose -4*r - k + 52 = 0, 0 = r - 2*k - 2*k + 4. Calculate the remainder when r is divided by 4.
0
Let p(u) = -u**3 + 2*u**2 - u. Let n be p(1). Suppose -4*r = -5*i + 2 - 150, 2*r + 4*i - 74 = n. Calculate the remainder when r is divided by 10.
7
Let l = -1 - -5. Suppose 0 = -t + 4*n + n + 3, -5*t - 4*n + 15 = 0. Suppose -v - 7 = -l*u - 15, v = -t*u + 1. Calculate the remainder when 6 is divided by v.
2
Suppose 0 = -2*b - 8 + 22. What is the remainder when 17 is divided by b?
3
Let z(v) = v**3 + 4*v**2 - 7. Let j be z(-3). Suppose -p + j*t - 20 = -3*p, p = t + 18. What is the remainder when 41 is divided by p?
13
Suppose -2 = -3*f - 4*h + 35, -3*f + 2*h + 31 = 0. Calculate the remainder when f is divided by 7.
4
Suppose 2*v = 5*i + 19 + 58, -4*v + 118 = 2*i. Suppose -4*u + l + 65 = 0, 0 = -5*u - l + 45 + 34. Calculate the remainder when v is divided by u.
15
Let c(a) = 5 - 4 - 1 - 4 + 2*a**2. Calculate the remainder when 54 is divided by c(3).
12
Suppose w + 4 = -3*w, n = 4*w + 6. Let f be n/5 - (-457)/(-5). What is the remainder when 16 is divided by (-2)/4 + f/(-14)?
4
Suppose 2*y - y - 23 = 0. Let t = 39 - y. Suppose 5*o - 32 = 5*q + 58, 2*q - t = -2*o. Calculate the remainder when 24 is divided by o.
11
Let w(g) = g**2 + 5*g - 6. What is the remainder when (2/(-4))/(14/(-1932)) is divided by w(-8)?
15
Let k be 1 - 3*(-2 - -1). Suppose 4*f = -0*o + 3*o - 64, -k*f = 2*o - 16. Calculate the remainder when o is divided by 6.
4
Let d(m) = -m**2 - 2 - 7*m + 11 - 8. Let q(c) = -7*c + 3. What is the remainder when q(-5) is divided by d(-3)?
12
Let t = -28 + 43. Let g = 8 + -5. Suppose 176 = g*n + n. Calculate the remainder when n is divided by t.
14
Let l(i) = 5*i - 4. Suppose q + 9 = -2*r, 0 = 5*q - 3*r - 9 - 11. Let k(v) = 6*v. Let n be k(q). What is the remainder when l(n) is divided by 9?
8
Let a(s) = s**2 + 4*s - 3. Let z be a(-5). Suppose z*o = -o + 114. Calculate the remainder when o is divided by 13.
12
Let r(b) = b**3 - 4*b**2 - 4*b - 4. Let h be r(5). Let c = 3 - h. Let g(v) = 3*v**3 - v**2 - 4*v + 3. What is the remainder when g(c) is divided by 8?
7
Let y = -4 - -4. Calculate the remainder when (y + (0 - 1))*-29 is divided by 15.
14
What is the remainder when (0 - 3)/(13/(-767)) is divided by 20?
17
Suppose 3*n - 2*n = 69. What is the remainder when n is divided by 18?
15
Let y = -5 - -14. Let h(s) = 2*s**3 - s + 1. What is the remainder when h(2) is divided by y?
6
Let u(t) = -2*t + 9. What is the remainder when u(-7) is divided by 6?
5
Let f = 5 + -6. Let w be f - (-80)/(-1 + 3). Suppose -w - 33 = -3*x. What is the remainder when 70 is divided by x?
22
Let u(m) = -m**3 + 20*m**2 - 19*m + 5. Let x be u(19). Let g(v) be the second derivative of v**3/6 - v. What is the remainder when 9 is divided by g(x)?
4
Let r(j) = j**3 - 12*j**3 - j + 2*j + 2*j**2. What is the remainder when 22 is divided by r(-1)?
10
Let w = 6 - 3. Suppose -w*m + 3*a = -6*m + 18, 5*m - a - 18 = 0. Let i(j) = 11*j**2 - j + 1. What is the remainder when i(1) is divided by m?
3
Suppose 5*j - 5 - 10 = 0. Let t(k) = k**2 + 5. Let x be t(5). Suppose 2*d - 5*d + x = 0. What is the remainder when d is divided by j?
1
Suppose -2*w + 54 = w. Suppose w = 2*t - 14. What is the remainder when t is divided by 9?
7
Let j(m) be the third derivative of -m**5/60 + 3*m**4/8 - m**3 + 3*m**2. Calculate the remainder when (-1)/(-4) + 182/8 is divided by j(6).
11
Let v be (1/2)/(9/(-3762)). Let n = v - -302. Calculate the remainder when n is divided by 24.
21
Let o(q) = q**3 - 2*q**2 + 3*q - 3. Let m be o(2). Let k = -10 + 17. What is the remainder when m/(-2)*76/(-6) is divided by k?
5
Let w = 82 - 66. Calculate the remainder when 29 is divided by w.
13
Let i be 5/(-20) - (-239)/(-4). Let r = 122 + i. Calculate the remainder when r is divided by 16.
14
What is the remainder when (-46)/(-14) + -3 + 187/7 is divided by 22?
5
Suppose -2*l + 22 + 2 = 0. Calculate the remainder when 23 is divided by l.
11
Suppose 54*x = 53*x + 7. Calculate the remainder when x is divided by 6.
1
Suppose 21*m - 23*m = -42. Calculate the remainder when 56 is divided by m.
14
Calculate the remainder when (-8)/(-3)*(-4 - -13) is divided by 13.
11
Suppose 0*v - 2*v + 8 = -4*r, -3*r = 3*v - 12. Suppose -2*s = k - v, -3*s + 9 = -0*s + 3*k. What is the remainder when s/2 + 49/2 is divided by 13?
12
Suppose u + 3*i = -5, -36 = -4*u + 2*i - 0*i. Calculate the remainder when u is divided by 4.
3
Let j(v) = 5*v**3 - 13*v**2 + 32*v - 30. Let s(t) = 3*t**3 - 9*t**2 + 21*t - 20. Let d(r) = 5*j(r) - 8*s(r). Calculate the remainder when d(-8) is divided by 4.
2
Suppose -3*g + 15 = -h, -4*g - 4*h = -3 - 1. Suppose 6 = g*y + 2*f, 0 = y + y + 2*f + 2. Calculate the remainder when 6 is divided by y.
2
Let d = -139 - -81. Let a = d - -86. Suppose 10 = -4*w + 5*w. Calculate the remainder when a is divided by w.
8
Suppose -7*m + 50 = -2*m + 5*s, m = 3*s + 2. What is the remainder when 25 is divided by m?
1
Let g(y) = y**2 + 8*y - 1 + 8 + 4. Let h(n) = -n**2 + 4*n + 3. Let s be h(6). Calculate the remainder when g(s) is divided by 11.
9
Let m = 2 + 5. Suppose -4*s = m - 35. What is the remainder when 243/12 + 1/(-4) is divided by s?
6
Suppose 5*x - 237 = 13. Calculate the remainder when x is divided by 17.
16
Suppose 3*f + 14 = 4*r + f