- 4*f = 58 - 5, 77 = 5*y + 4*f. What is the remainder when 34 is divided by y?
8
Suppose 2*z + 3*b = -b - 2, -4*b - 32 = -4*z. Let p = -1 + z. Suppose p*k - 20 = -k. Calculate the remainder when k is divided by 2.
0
Suppose -16 = 4*v - 2*b, 5*v + 4*b = -41 + 8. Let j = 4 - v. What is the remainder when j is divided by 6?
3
Suppose -3*o = 5*i - 81 - 57, -3*i + 5*o + 76 = 0. Calculate the remainder when i is divided by ((-24)/18)/(4/(-42)).
13
Let v(m) be the third derivative of -m**4/24 - m**3/6 + m**2. Let q(t) = -11*t - 9. Let d(x) = -q(x) + 5*v(x). What is the remainder when d(4) is divided by 15?
13
Let x(b) = -5*b - 5. Let a be x(-3). Calculate the remainder when 22/18 - a/45 is divided by 1.
0
Let m = -12 + 13. Suppose m + 5 = x. Calculate the remainder when 10 is divided by x.
4
Let m be 2/(-6) - (-10)/3. What is the remainder when 3 is divided by m*6/(-9) + 3?
0
Suppose -3*q = -7*q + 5*x + 140, -180 = -5*q + 5*x. Suppose q + 20 = 4*k. Suppose 0 = -3*d + d + 58. Calculate the remainder when d is divided by k.
14
Let h(f) = 25*f + 4. Let d be h(5). What is the remainder when (d/(-6))/(1/(-2)) is divided by 15?
13
Suppose 3*l = a + 1, 2*a - 9 = -l + 3. Let z = 24 + -43. Let d = -5 - z. Calculate the remainder when d is divided by a.
4
Let u = -15 + 17. Calculate the remainder when u is divided by 2.
0
Let z = -294 - -425. Calculate the remainder when z is divided by 45.
41
Let r(m) = m**2 - 5*m - 1. Let a be r(6). Let s(q) = 10*q - 1. Calculate the remainder when s(a) is divided by 26.
23
Suppose 2*m - 148 = -2*m. Let c = -62 + 75. What is the remainder when m is divided by c?
11
Suppose 0*d + d - u + 5 = 0, d - 5 = -u. Suppose -6 = 3*y - 30. What is the remainder when (d + 6)*5/2 is divided by y?
7
Let k = -13 - -15. What is the remainder when 4 is divided by k?
0
Let p = 8 + -6. Let l = p + 15. Calculate the remainder when 66 is divided by l.
15
Let l(s) = -7*s**2 - 2. Let d be l(-2). Let h = d - -61. Let t = -18 + h. What is the remainder when t is divided by 7?
6
Let b(o) = -93*o - 13. Let w(q) = 23*q + 3. Let n(u) = -2*b(u) - 9*w(u). Suppose 2*l - 34 + 6 = 0. What is the remainder when n(-2) is divided by l?
13
Let o be (-4)/(-4) - -3 - -1. Suppose -5*v + 147 = 4*c, -23 + o = -c + 5*v. Calculate the remainder when c is divided by 12.
9
Suppose 0 = -5*n - 34 + 109. Suppose 4*h = -0*h + 108. Calculate the remainder when h is divided by n.
12
Calculate the remainder when 47 is divided by 20/(-50)*(-39 + -1).
15
Let p(f) = -f**2 - 9*f - 6. Suppose 0 = -2*r - 18 - 16. Let n = 32 + r. What is the remainder when n is divided by p(-7)?
7
Calculate the remainder when 12 + -1 - (5 - 5) is divided by 6.
5
Let x(q) = q**2 + 0*q - 4 - 4*q + 4*q - 5*q. Let a be x(6). Suppose -5*o + 93 = -3*h, a*h = -2*o + 6*o - 74. Calculate the remainder when 34 is divided by o.
16
Suppose -5*d = -o - 137, -5*d - 2*o + 62 = -3*d. Suppose -6*f + d = -2*f. What is the remainder when 19 is divided by f?
5
Let m(w) be the second derivative of w**5/10 + w**4/12 - w**3/2 + 5*w**2/2 + 5*w. What is the remainder when m(2) is divided by 10?
9
Let l(r) = r + 41. What is the remainder when 45 is divided by l(-15)?
19
Let h = -23 + 34. What is the remainder when h is divided by ((-8)/5)/(10/(-25))?
3
Let d be 114/22 + 2/(-11). Suppose -130 = -5*b + d*w, -w = -0*b + 2*b - 67. Calculate the remainder when b is divided by 11.
9
Let o(a) = -a**3 + 7*a**2 - 6*a - 3. Let n = 25 + -16. Suppose 4 - n = -t. Calculate the remainder when o(5) is divided by t.
2
Let s(c) = -105*c**3 - c**2 + 1. Suppose 166*d = 171*d - 135. Calculate the remainder when s(-1) is divided by d.
24
What is the remainder when 4/(16/124) - -5 is divided by 9?
0
What is the remainder when 342/17 + 4/(-34) is divided by 8?
4
Let i be (39/9)/((-2)/24). What is the remainder when 24 is divided by (1 + 0)/((-4)/i)?
11
Let n(o) = 4*o**2 + 2*o + 3. Let u(z) = z**2 - 18*z + 9. What is the remainder when n(-3) is divided by u(18)?
6
Let h(j) = j**3 + j**2 - 5*j + 3. Let y(o) = o**3 + 6*o**2 - 8*o - 3. Calculate the remainder when y(-6) is divided by h(3).
21
Let s = 110 - 55. Let l = s - 39. What is the remainder when l is divided by (-4)/2 + 2 + 9?
7
Suppose -48 = -52*i + 48*i. What is the remainder when 118 is divided by i?
10
Suppose -2*a - 2*l - 3*l + 59 = 0, 0 = -2*l + 10. Let p be 1*4*(-14)/(-8). Let f = a - p. What is the remainder when f is divided by 4?
2
Calculate the remainder when (-819)/78*2/(-3) is divided by 3.
1
Let m(n) = n + 5. Calculate the remainder when 63 is divided by m(6).
8
Let n = -24 + 29. What is the remainder when 29 is divided by n?
4
Let f = 3 + -1. Calculate the remainder when 38 is divided by 2*f/4 - -12.
12
Suppose 0 = 3*a + r - 63, -5*r + 73 = -0*a + 4*a. Suppose 0 = 3*u + 3 + 3, -u - 10 = -n. Calculate the remainder when a is divided by n.
6
Calculate the remainder when 59 is divided by -1 - -16 - (-3 + 2).
11
Suppose 28*y - 23*y = 35. Let n = 0 - 2. Let q = n - -14. Calculate the remainder when q is divided by y.
5
Let x = 4 + 4. Suppose -3*g - 2*g + 20 = 0. Suppose -x = -0*f - g*f. What is the remainder when 4 is divided by f?
0
Suppose 2*b = 4*b - 3*d - 27, d = -b + 16. Let c(j) = -58*j**3 - 2*j**2 - 2*j - 1. What is the remainder when c(-1) is divided by b?
12
Let d = 34 - -10. Let p(g) be the third derivative of -g**5/60 - 5*g**4/12 - g**3 - g**2. Calculate the remainder when d is divided by p(-7).
14
Let c = -4 - -3. Let j(b) = -7*b. Let v be j(c). Suppose -d = -4*x + 11, -3*x + 0 = -2*d - v. What is the remainder when x is divided by 2?
1
Let r = -119 + 254. Calculate the remainder when r is divided by 6.
3
Let s = 58 - 32. Calculate the remainder when 102 is divided by s.
24
Suppose -33 + 6 = -3*u. Suppose 5*d - 5*z = 90, z = -d + 4*z + 20. What is the remainder when d is divided by u?
8
Let r(y) = y**3 - 3*y**2 + 2*y - 2. Suppose 42 = 2*c - 30. Calculate the remainder when (2/(-6))/((-2)/c) is divided by r(3).
2
Let c(l) = l**3 - l**2 - l. Let v(u) = -3*u**3 - 4*u**2 + 4*u + 11. Let i(q) = 4*c(q) + v(q). Calculate the remainder when 54 is divided by i(8).
10
Suppose -4*v + 14 = -2, 4*o + 4*v = 120. Calculate the remainder when o is divided by 9.
8
Suppose -v = -6*v - 180. Let j = -18 - v. What is the remainder when j is divided by 10?
8
Let z(v) = -38*v - 5. Calculate the remainder when z(-1) is divided by 12.
9
Suppose -4*j = l - 26 - 2, 4*j = 0. Calculate the remainder when l is divided by 15.
13
Suppose -47 = -3*b + b + 5*w, 1 = w. What is the remainder when 128 is divided by b?
24
Let j(t) = t**3 - 9*t**2 + 8*t + 4. Let n be j(8). Let s = 3 + n. What is the remainder when s is divided by 5?
2
Suppose 5*j + 3*t = 2*t - 9, 0 = -5*j + 5*t + 15. Let y = 14 - j. Calculate the remainder when 42 is divided by y.
12
Suppose 2*o - 85 = -5*g, -4*o - 115 = -3*g - 2*g. Calculate the remainder when 91 is divided by g.
15
Suppose -6*h - 117 = -477. What is the remainder when h is divided by 9?
6
Let q = 10 + -7. Suppose q*j = 18 + 150. What is the remainder when j is divided by 15?
11
Calculate the remainder when 59 is divided by ((-8 - -4)/4)/((-3)/63).
17
Let i(o) = -o**3 - 5*o**2 - 3*o + 3. Let p be i(-3). Suppose 0*s = -4*s + 36. Calculate the remainder when s/(-2)*8/p is divided by 4.
2
Suppose -l + 5*a + 54 = -0*l, -a - 5 = 0. Let h(n) = n**3 - 3*n**2 - 2*n + 2. What is the remainder when l is divided by h(4)?
9
Let g be (-4)/18 + (-280)/36. Let l be g/20 - (-2)/5. Calculate the remainder when 4 is divided by -2*((-6)/4 + l).
1
Let g be 178*((-3)/(-6) - 0). Let q(f) = f**3 + 5*f**2 + 4*f + 4. What is the remainder when g/3 + 8/(-12) is divided by q(-3)?
9
Let t(f) = f**3 - 8*f**2 + 2*f + 1. Let y be (-2)/(-2) + (11 - 5). Let n be t(y). Let c = n - -66. What is the remainder when c is divided by 17?
15
Let a(x) = -5*x**2 + 5*x + 11. Let t(f) = 2*f**2 - 2*f - 5. Let s(m) = -4*a(m) - 9*t(m). Calculate the remainder when s(2) is divided by 3.
2
Suppose 0 = -v - 5 + 13. What is the remainder when v is divided by 7 + (-2)/4*8?
2
Let a = 13 + -7. Let z(k) = k**2 - 5*k + 2. Let c be z(a). Suppose -w + 15 = 4*b - c, -w = -3*b + 26. Calculate the remainder when 20 is divided by b.
6
Suppose -2*h + 10 = 0, m - 17 = -h - 2*h. Calculate the remainder when m is divided by 2.
0
Let o(y) = 