 9 - 16. Let o(x) = -x. Let q(d) = -d**3 - 8*d**2 - 13*d + 4. Let z(r) = -6*o(r) + q(r). What is the remainder when 6 is divided by z(v)?
2
Let r be ((-2)/2)/(-3 - -2). Suppose k + r = -6. Let j(f) = -f**3 - 7*f**2 - 3*f - 4. Calculate the remainder when j(k) is divided by 6.
5
Let w = -17 + 24. Suppose 0 = -8*i + 16 + 8. Calculate the remainder when w is divided by i.
1
Let w(f) = f. Let c be w(0). Suppose c = 3*a - 2*a - 2*r - 5, 5*a - 4*r - 1 = 0. What is the remainder when 52 is divided by (-1)/a + (-106)/(-6)?
16
Suppose -3*j = j - b - 74, 0 = 3*j - 5*b - 47. What is the remainder when j is divided by (4 - 2)*11/2?
8
Let x be (1 - -19)*16/1. Suppose 4*z - x = 4*p, -2*p - 177 - 133 = -4*z. Calculate the remainder when z is divided by 26.
23
Suppose -2*f = -5*v + 74 - 9, 4*f + 75 = 5*v. Calculate the remainder when 40 is divided by v.
7
Let j(d) = -d**2 - 4*d + 5. Let n be j(-5). Suppose 3*m - 33 - 6 = n. What is the remainder when m is divided by 4?
1
Suppose 43 = 2*h + 1. Calculate the remainder when 39 is divided by h.
18
Suppose -2*k + 113 = -3*c, 212 = 5*k + 5*c - 58. Let i = -263 - -282. Calculate the remainder when k is divided by i.
17
Suppose 1 - 9 = -c. Let r(m) be the first derivative of -m**4/4 + 5*m**3/3 + 3*m**2/2 - 1. Calculate the remainder when r(5) is divided by c.
7
Suppose -2*t - 12 = -5*t. Calculate the remainder when 14 is divided by t.
2
Let r = 13 + -7. Let p(g) = -g - 1. Let o be p(-1). What is the remainder when r is divided by 2/(o - 2/(-4))?
2
Let y(t) = t - 5. Suppose 5 + 3 = -v - 4*b, -3*v = 4*b - 16. Calculate the remainder when y(v) is divided by 3.
1
Suppose 3*k = -3*g + 21, -7*g - k = -2*g - 47. What is the remainder when 19 is divided by g?
9
Suppose 3*l + 3*m + m - 71 = 0, 5*m - 73 = -3*l. Let q be l - (-2 - -2 - -1). Calculate the remainder when 32/q + (-4)/(-10) is divided by 1.
0
Suppose 0*k = -5*k + 240. Let x = k + 2. Calculate the remainder when x is divided by 17.
16
Calculate the remainder when 9 is divided by 2/4 - 40/(-16).
0
Suppose -2*h - 3*n = 28, -5*n = h - 4*n + 16. Let r = h + 65. Suppose a - 21 = -0*s + 2*s, -r = -5*a - 5*s. Calculate the remainder when 37 is divided by a.
11
Suppose 22 + 26 = 4*g. Suppose -u + 4*u = -g. Let d(t) = -t**3 - 4*t**2 - 2*t - 1. Calculate the remainder when d(u) is divided by 4.
3
Let c = -94 + 122. Calculate the remainder when c is divided by 3/(-12) - 66/(-8).
4
Let c(g) be the first derivative of -g**3/3 - 4*g**2 + 5*g + 3. Calculate the remainder when 14 is divided by c(-8).
4
Suppose -d + 3*w = -w - 2, 4*w = 4. Calculate the remainder when 22 is divided by d.
4
Suppose -2*j = -5*k - 22 - 51, 2*j - 91 = -k. Calculate the remainder when j is divided by 5.
4
Let t be (-8)/2*3/4. Let a = t - -13. Calculate the remainder when 19 is divided by a.
9
Let a = 3 + -15. Let z = a - -32. What is the remainder when 37 is divided by z?
17
Let n(u) = u**3 + 8*u**2 - 8*u + 11. Suppose 5*i + 3 = -37. Calculate the remainder when n(i) is divided by 26.
23
Suppose 0 = -4*x - 0*x. Suppose -5*s = -7 - 8. Suppose -1 = -s*n + 5*u + 21, n + 2*u = x. What is the remainder when n is divided by 3?
1
Suppose 0*q - y = 5*q, -4*q - 3*y = 0. Suppose -j - 3*j + 308 = q. What is the remainder when j is divided by 20?
17
Let m = 276 + -187. What is the remainder when m is divided by (15/2)/(1/4)?
29
Suppose -x + 7 + 6 = 0. Suppose -2*k + 5*z = 2*k - 42, -5*k = -3*z - 46. Let d = 44 - k. Calculate the remainder when d is divided by x.
10
Suppose -4*h - 96 = -8*h. Suppose 7*v - h = 5*v. What is the remainder when 22 is divided by v?
10
Suppose 0 = -5*c - 2*d + 445, c - 281 = -2*c - 4*d. Calculate the remainder when c is divided by 11.
10
Calculate the remainder when (52/(-12) + -4)*-6 is divided by 13.
11
Suppose -4*w - w + 8 = 4*h, 5*h - 5*w = 10. Suppose -4*q + 24 = 4*u, 26 = h*u - 2*q + 6. What is the remainder when 13 is divided by u?
5
Let v = -7 + -48. Let g = v + 90. What is the remainder when g is divided by 18?
17
Let g(n) = 37*n - 2. Let f(s) = s**2 - s + 1. Let d(a) = 24*a**2 - 5*a + 7. Let y(z) = d(z) - 6*f(z). Calculate the remainder when g(1) is divided by y(-1).
17
Let v(n) = 8*n + 8. What is the remainder when v(6) is divided by 20?
16
Let r(q) = q**2 - 8*q + 47. Calculate the remainder when r(14) is divided by 45.
41
Let t(x) = x**2 + 2*x + 33. Calculate the remainder when t(0) is divided by 4.
1
Let l = 38 + -8. Calculate the remainder when l is divided by 11.
8
Suppose -14*p = -19*p + 30. Let a(s) = s**2 - 5*s + 4. What is the remainder when p is divided by a(5)?
2
Let z = -155 + 74. Let n = z + 55. Calculate the remainder when 38 is divided by (1/2)/((-1)/n).
12
Suppose -5*m = -33 - 7. Calculate the remainder when ((29*-1)/(-1))/1 is divided by m.
5
Let o = 119 + -80. What is the remainder when o is divided by 20?
19
Suppose -138 = -2*q - 4*n, -4*q + 5*q - 3*n = 44. Calculate the remainder when q is divided by 12.
11
Let z = -10 - -18. Let w(a) = a**2 + 1. What is the remainder when z is divided by w(-2)?
3
Let d = 37 - 20. Suppose -z - 1 + 7 = 0. What is the remainder when d is divided by z?
5
Let n(h) = h + 1. Suppose 3*p + p = 40. Suppose -5*a + 7 = y, -14 = 5*a + 11. Calculate the remainder when y is divided by n(p).
10
Let i(p) = p**3 - 6*p**2 + 2*p - 6. Let l be i(5). Calculate the remainder when 1/(-3) + (-49)/l is divided by 2.
0
Let m(p) = -9*p - 5. Calculate the remainder when m(-4) is divided by 17.
14
Let k = -34 + 55. Calculate the remainder when k is divided by 11.
10
Suppose -8 = 4*t - 140. What is the remainder when 197 is divided by t?
32
Let l be ((-2 - 1)/3)/1. Let s be (l*(6 - 0))/(-1). Suppose s*k = 4*k + 28. What is the remainder when 27 is divided by k?
13
Suppose 0*k = -2*k - 24. Calculate the remainder when (-6)/k*(-32)/(-1) is divided by 9.
7
Let n be (-464)/18 - (-30)/(-135). Let f = 43 + n. What is the remainder when f is divided by 5?
2
Let z = 10 + -2. Let w = 0 + z. Let k = w - 2. Calculate the remainder when k is divided by 4.
2
Let z be -2 - (2 + -3) - -3. Suppose 0 = -5*a + v - 4*v + 35, 30 = 4*a + z*v. What is the remainder when a is divided by 6?
4
Suppose -6 = 5*y - 16. What is the remainder when 30 is divided by 35/y - (-12)/(-8)?
14
Calculate the remainder when 1*((-2)/12 - (-1981)/42) is divided by 25.
22
Let h(d) = 3*d**3 + 4*d**2 - 6*d + 5. Let n(p) = -2*p + 2. Calculate the remainder when h(2) is divided by n(-5).
9
Let k = -8 - -6. What is the remainder when (-185)/(-15) - k/3 is divided by 7?
6
Suppose 2*d - 5*j = 82, -4*j = 3*d - 0*j - 123. What is the remainder when d is divided by -4 + (26 - (3 + -3)/3)?
19
Let k(c) = c**2 - 7*c - 8. Let l be k(9). Let i = l - 9. Calculate the remainder when i + (3 - 3) + 24 is divided by 7.
4
Let i(f) = 2*f**2 - 5*f - 6. What is the remainder when 35 is divided by i(5)?
16
Let a(u) = 2*u - 16. Suppose 4*n = 25 + 19. What is the remainder when 23 is divided by a(n)?
5
Let k(j) = j**3 + 6*j**2 + 8*j - 3. Let o be k(-6). Let x = 7 + o. Calculate the remainder when -2 + (-2 - x)/3 is divided by 7.
5
Suppose y + 54 + 10 = 4*i, 80 = 5*i - y. Calculate the remainder when 47 is divided by i.
15
Calculate the remainder when 1*(2*15 + 3) is divided by 9.
6
Let y be 2/(-2) + 1 + 4. Let a be y/18 - (-110)/(-9). What is the remainder when 37 is divided by 1 - a*(2 - 1)?
11
Suppose -c = 5*t - 3, -c = -6*c - 5*t - 5. Let f(u) = -u**3 + 8*u**2 - 9*u + 24. What is the remainder when f(7) is divided by c/4 - 14/(-4)?
1
Suppose -5*a - 31 = -2*o, -4*o + 57 = -2*a - 3*a. Let b be 50/(-4) - 2/4. Let d = b + 50. What is the remainder when d is divided by o?
11
Let z(a) = -a**2 - 5*a + 1. Suppose -2*s = 3*s + 10. Calculate the remainder when z(s) is divided by 3.
1
Let w = 14 + 0. What is the remainder when 55 is divided by w?
13
Let z(c) = 2*c - 1. Let v = -52 + 75. Calculate the remainder when v is divided by z(7).
10
Let q = 47 + 12. What is the remainder when q is divided by 21?
17
Let r(c) = 2*c - 3. Let u be r(3). Suppose -u*h - 12 = 0, 2*p + 2*h - 41 = 11. Calculate the remainder when p is divided by 56/3*(-48)/(-56).
14
Let h(r) = -r**2 + 9*r. Let u be h(9). Suppose -3*c + c + 34 = u. Suppose 2*z = c + 3. What is the remainder when z is divided by 3?
1
Suppose -j + 22 = -4*h, -j + 5*h = -6*j + 85. Ca