t.
3
Suppose -6*a + a = -3*m - 22, -4*a + 5*m = -15. Suppose 3*f - l - 72 = 3*l, -5*f + a*l + 125 = 0. Calculate the remainder when f is divided by 10.
8
Let g(f) = f**3 - f**2 + 17. What is the remainder when g(0) is divided by 6?
5
Let h = -6 + 13. Suppose -2 = -2*c - 5*o - 3, -3 = -c + o. Suppose 0*j + 2*j + 12 = b, -c*j = 5*b - 108. What is the remainder when b is divided by h?
6
Let m = -4 + 25. Let i = -22 + 33. What is the remainder when m is divided by i?
10
Let y(b) = 8*b - 3. Let z(j) = -j**2 + 4*j - 1. Let h be z(3). What is the remainder when y(h) is divided by 8?
5
Suppose -5*l + 101 + 328 = -3*b, 3*b = -l + 75. What is the remainder when l is divided by 29?
26
Suppose 0 = 2*a - 92 + 22. What is the remainder when a is divided by 18?
17
Let q(f) = 8*f - 1. Calculate the remainder when q(3) is divided by 9.
5
Let c = 7 + -3. What is the remainder when (-4)/((4 + -1)/(-3)) is divided by c?
0
Suppose 19 + 11 = 5*t. Calculate the remainder when 23 is divided by t.
5
Let a = 69 + -49. Let p = 46 - a. Suppose -4*k + 25 = k + 5*d, 4*k - 28 = -2*d. What is the remainder when p is divided by k?
8
Suppose 2*n + 5*l - 17 - 15 = 0, 0 = -4*n - l + 64. Calculate the remainder when 28 is divided by n.
12
Let f = -1 - 5. Let a(u) = u**2 + 5*u - 4. Let i = 72 + -68. Calculate the remainder when i is divided by a(f).
0
Let f(t) = t**2 - 5*t - 4. Let n be f(6). Suppose -6 = -n*w + 24. Let l(r) = -r**2 - 9*r - 6. What is the remainder when w is divided by l(-7)?
7
Let z = -30 + 39. Calculate the remainder when 34 is divided by z.
7
Let n = 7 + 21. What is the remainder when 109 is divided by n?
25
Let p(n) = -n + 1. Let r(x) = x**3 + 7*x**2 - 7*x - 10. Let m(t) = 4*p(t) + r(t). Let v = 124 - 72. Calculate the remainder when v is divided by m(-8).
16
Let o(m) = m + 16. What is the remainder when 11 is divided by o(-9)?
4
Suppose 5*o = -3*t + 5, 2*t - 4 = -2*o - o. Suppose -6 = -t*b + 4*b. What is the remainder when b is divided by 3?
0
What is the remainder when 20 is divided by -1*35*(-1)/5?
6
Let q(t) = 7*t + 1. Let m(z) be the third derivative of z**6/120 + 3*z**5/20 + 7*z**4/24 - z**3 - 3*z**2. What is the remainder when m(-7) is divided by q(2)?
13
Let m(q) = 2*q**3 - 3*q**2 - q + 2. Let i = -286 + 336. What is the remainder when i is divided by m(3)?
24
Let n(v) = v**2 - 10*v - 22. What is the remainder when 105 is divided by n(-5)?
52
Let w be (0 - (2 + -3))*-1. Let d be (w + 11 - 0)/2. Suppose -d*b = -15 - 5. What is the remainder when 7 is divided by b?
3
Let s(o) = -4*o**2 + 12*o - 4. Let a(k) = -3*k**2 + 12*k - 3. Let z(u) = -5*a(u) + 4*s(u). Calculate the remainder when z(-9) is divided by 9.
8
Let v(x) = -3*x. Let l(f) = 2*f**2 + f + 3. Let b be l(3). Let g = 52 - b. Calculate the remainder when g is divided by v(-5).
13
Suppose 3*r + 4 = 4*r. Suppose -r*l = 5*y - 135, -3*l + 15 = -0. What is the remainder when y is divided by 6?
5
Let j = -12 - -18. Let t be -6 + (-1 - -2)*1. What is the remainder when 9 - t/((-15)/(-6)) is divided by j?
5
Suppose -30 = -0*u - 2*u. Let n(x) = 11*x - 7. Calculate the remainder when n(3) is divided by u.
11
Let o(w) = 208*w - 3. Let g(v) = -69*v + 1. Let u(s) = 7*g(s) + 2*o(s). Calculate the remainder when u(-1) is divided by 23.
22
Let c = 26 + -16. Calculate the remainder when 27 is divided by c.
7
Let n(c) = c**2 + c**2 - 3*c - 1 + 0*c**2 - 5*c**2. Let x be n(-2). What is the remainder when 18 is divided by 5/(-1)*(x - -5)?
8
Calculate the remainder when 23 is divided by ((-5)/((-15)/(-8)))/(4/(-6)).
3
Suppose -16 = 2*k - 6*k. Suppose j + 4*j = -3*v + 639, 250 = 2*j + k*v. Suppose 0 = q + 5, -4*n + 5 = -2*q - j. Calculate the remainder when n is divided by 11.
9
Let v = 4 - 6. Calculate the remainder when 71 is divided by 18*(v - (3 + -6)).
17
Let a = -16 - -30. What is the remainder when 26 is divided by a?
12
Suppose 803 = 2*p + 9*p. Calculate the remainder when 143 is divided by p.
70
Suppose -2*o = -j - 5, -4*o + o - j = -10. What is the remainder when (-20)/(-1) + o + -4 is divided by (-196)/(-21) - (-2)/3?
9
Suppose -3*w + 410 = z, 3*z = -w + 2*w - 120. Calculate the remainder when ((-1)/3)/((-5)/w) is divided by 3.
0
Let q = 24 - 68. Let k = -51 + 20. Let c = k - q. Calculate the remainder when 37 is divided by c.
11
Let v = -8 + 4. Let k be 1634/18 + v/(-18). Suppose 4*d - k = -3. What is the remainder when d is divided by 12?
10
Let t = 245 + -118. Suppose 7*p - 2*p + 2*k = t, -1 = -k. Calculate the remainder when p is divided by 9.
7
Suppose -x + 64 = x. Suppose 2*f - 4*z - x = 0, 4*z - 3*z = 5. Suppose 0 = -5*s + 39 + f. What is the remainder when s is divided by 7?
6
Let c be (0 + -1)*-1*12. Suppose 46 = g - 3*y, -4*y + c = g - 55. What is the remainder when g is divided by 29?
26
Let z(t) = 7*t. Let f(n) = -n**3 + 4*n**2 + 2*n + 7. Let y be f(5). Let v(q) = -3*q - 5. Calculate the remainder when v(y) is divided by z(1).
5
What is the remainder when 125 is divided by (16/5)/((-12)/(-120))?
29
Let i = 48 + -34. Suppose -3*h + 114 = 3*b, 2*b + 2*b = -h + 29. What is the remainder when h is divided by i?
13
Suppose 3*j = -0*j + 9. Suppose 0 = j*v - 6*v + 30. What is the remainder when v/((-9)/12 - -1) is divided by 14?
12
Let o(n) = -n**3 - 7*n**2 - 5*n. Let f be o(-6). What is the remainder when 15 is divided by 148/18 + f/27?
7
Let j = 20 + 1. Suppose -2*z + 31 = -3*y, 0*z + 2*y = -2*z + 16. Calculate the remainder when j is divided by z.
10
Suppose 14*v = -13 + 83. What is the remainder when v is divided by 2?
1
Let p = 3 + 15. What is the remainder when p is divided by 5?
3
Let s(h) be the first derivative of h**4/4 + 2*h**3 - 3*h**2/2 + 8*h - 2. Calculate the remainder when s(-6) is divided by ((-2)/6)/(4 - 545/135).
8
Let o = -3 - -5. Calculate the remainder when ((-1)/3)/(o/(-222)) is divided by 19.
18
Let l = 3 - -2. Let n = l + 1. Calculate the remainder when 21 is divided by n.
3
Suppose 2*n + 101 = 3*o, -n + 0*n + 2 = 0. Suppose 4*a = 5*j - 57, 4*j = 2*a + 24 + 18. Calculate the remainder when o is divided by j.
8
Suppose v + 6 - 1 = 0. Let n(l) = -8*l - 9. Let k = 50 - 34. What is the remainder when n(v) is divided by k?
15
Let n(k) = 6*k**2 + 2*k - 7. Calculate the remainder when n(-3) is divided by 7.
6
Suppose 5*q + 1 = 16. Let z = q - 14. Calculate the remainder when 3/(z/(-8) - 1) is divided by 3.
2
Let v(t) be the first derivative of 7*t**2/2 - 6*t + 2. Let p(n) = -n - 4. Let l be p(-8). What is the remainder when 42 is divided by v(l)?
20
Let u = 25 + -6. Let q = u - -3. What is the remainder when 64 is divided by q?
20
What is the remainder when 53 - -1*(-3 - -4) is divided by 14?
12
Suppose o = -3*b + 7*b - 85, -b = 4*o. Calculate the remainder when b/((-4)/(-6)*3) is divided by 3.
1
Let z = -8 - -13. Suppose -5*c - 12 = 13. Let x(u) = -2*u - 1. Calculate the remainder when x(c) is divided by z.
4
Let u(y) = 8*y**2 + 5*y + 5. What is the remainder when u(-2) is divided by 10/((4/(-3))/(-2))?
12
Let n(q) be the first derivative of -q**2/2 + 14*q + 1. Suppose 0*o = 2*o. Calculate the remainder when 41 is divided by n(o).
13
Let z(l) = 5*l**2 + 2*l - 2. Suppose 13 = m - 12. Calculate the remainder when m is divided by z(-2).
11
Let w(k) = -2*k + 18. Let f be w(13). Let y = 20 + f. What is the remainder when y is divided by 5?
2
Suppose 0 = 7*l - 572 - 289. What is the remainder when l is divided by 25?
23
Let j be (1 - -1) + -1 + 1. Let z = 2 + j. Calculate the remainder when 7 is divided by z.
3
Let b(m) = 24*m**3 + m - 1. Calculate the remainder when 46 is divided by b(1).
22
Suppose -2*v - r + 137 = 0, 3*v - 4*v - 5*r + 82 = 0. Let g = 2 + 1. Calculate the remainder when v is divided by 1/((g/(-1))/(-69)).
21
Suppose -13*y - 361 = -1804. What is the remainder when y is divided by 23?
19
Suppose 5*f = 3*f + 4. Suppose 5*o - 12 = -2. Suppose -o - 1 = -g. Calculate the remainder when g is divided by f.
1
Suppose -4*a = -0*a. Let i = a - -4. What is the remainder when i is divided by 3?
1
Calculate the remainder when 8*4/32 + 1*6 is divided by 4.
3
Let o = -37 + 50. What is the remainder when 33 is divided by o?
7
Suppose 10*j + 72 = -98. Suppose x = 5*n + 26, -2*x + 3*n = -4*x + 104. Let z = j + x. What is the remainder when z is divided by 8?
5
Let i(c) = -c**2 - 5*c + 8