4/24 + t**3 + 2*t**2. What is the remainder when h(-4) is divided by n?
4
Suppose 5*t = 3*c - 100, 0 = -5*c + 4*c + 2*t + 32. Suppose -10 = -2*o - 2*k + 8, 0 = -k - 5. What is the remainder when c is divided by o?
12
Let o be (-6 + 1)/(-2 + 1). Suppose -q - 3 = -2*b - 5, o*b + 2 = q. Suppose q = m - 2. Calculate the remainder when m is divided by 3.
1
Suppose -3*b + 50 = 2*t + b, b - 3 = 0. What is the remainder when 35 is divided by t?
16
Suppose 0 = 3*w + 2*w - 140. Suppose 0 = -2*m - 5*y + 5, 3*m = -3*y + 4*y + 33. Calculate the remainder when w is divided by m.
8
Let w(c) be the second derivative of -5*c**3/6 - c**2 + 4*c. Calculate the remainder when 13 is divided by w(-2).
5
Let r(u) = -5*u + 15. What is the remainder when 15 is divided by r(2)?
0
Suppose -p - 12 = -5*p. Let n = 2 + 0. Suppose -p*r = n*r - 70. What is the remainder when r is divided by 8?
6
Let l be (4 + -4)*(-1)/3. Suppose -18 = -2*h - l*h. Let s(a) = a - 1. What is the remainder when 14 is divided by s(h)?
6
Suppose -2*v - 33 = -3*v. Let c = v + 8. Suppose 3 = -j + c. Calculate the remainder when j is divided by 13.
12
Let i = 6 - -6. Suppose -3*a - 137 = -4*j - 6*a, a + 71 = 2*j. Calculate the remainder when j is divided by i.
11
Let k = -77 - -45. What is the remainder when 1*(0 + -1)*k is divided by 17?
15
What is the remainder when 32 is divided by 750/70 - 4/(-14)?
10
Suppose 6 - 21 = 3*z. Let x be (8/z)/(2/(-10)). Suppose -x = 4*k - 80. What is the remainder when 52 is divided by k?
16
Let b(v) = v**3 + 6*v**2 - 9*v - 9. Let t be b(-7). Suppose -11 - 3 = -w - t*z, 0 = w + 3*z - 10. Calculate the remainder when 15 is divided by w.
3
Let f(c) = 6*c**2 - 7 + 2*c**3 + 6*c + 2 - 3*c**3. Let q be f(5). Let i = q + -19. Calculate the remainder when i is divided by 11.
9
Let j = -9 - -15. Suppose 0 = 2*a + 5*i - 121, -12 = 4*i - 0. Suppose 0*r + a = 4*r. What is the remainder when r is divided by j?
5
Suppose 0*y = 4*y - 276. Calculate the remainder when y is divided by 18.
15
Let g(o) = o**3 - 5*o**2 + 3*o - 6. Let w be g(4). Suppose -4*a = -a + 9. Let q = a - w. Calculate the remainder when q is divided by 3.
1
Let m(z) be the third derivative of z**6/120 - z**5/20 + z**4/8 - z**3 + 2*z**2. Let f = 6 + -1. What is the remainder when m(f) is divided by 15?
14
Let x(j) = -j**2 + j + 4. Let y be x(0). Suppose 0*b + 60 = y*b. Calculate the remainder when b is divided by 18/(-24) - ((-81)/(-4))/(-3).
3
Suppose v + 25 = 6*v. What is the remainder when 2/3 - (-38)/6 is divided by v?
2
Suppose 0*y - 2 = -2*p - 3*y, -2*p + 4*y = -16. Calculate the remainder when 1/(-6) + (-671)/(-66) is divided by p.
2
Suppose -3*x = 3 - 0. What is the remainder when (x - 0)*(-1 + -28) is divided by 8?
5
Suppose 4*m = -0*m + 28. Suppose m + 3 = h. Suppose 4*c = s - 0*c - 3, 5*s - c - 91 = 0. What is the remainder when s is divided by h?
9
Suppose -4*q + q = -42. Suppose i + q = 3*i. Suppose -5*w = 4*x - 22 - 49, -w = 2*x - 37. What is the remainder when x is divided by i?
5
Let c = 26 - -70. What is the remainder when c is divided by 33?
30
Suppose -s + 157 = 3*v, -3*s + 375 = -3*v - 144. Calculate the remainder when s is divided by 57.
55
Let d(f) = -f**3 - 3*f**2 + 10*f + 7. Let o be (-4 + 5)*(66 - -1). Let t = o + -48. Calculate the remainder when d(-6) is divided by t.
17
Suppose 0*o = -4*o + 88. What is the remainder when 42 is divided by o?
20
Let k be (-2)/(-5)*(8 - 3). Suppose 0 = 5*m - k*m - 159. Calculate the remainder when m is divided by 28.
25
Suppose w - 3 = -3*u + 4*w, 4*u + 3 = -3*w. Suppose u*p = 4*p - 56. What is the remainder when 39 is divided by p?
11
Let g(l) = -l**3 + 6*l**2 + 7*l + 4. Let n be g(7). Let v = n + -38. Calculate the remainder when 13 is divided by 2/9 - v/9.
1
Suppose 56 = 5*h - 4. Let j be 2/(-9) - 2/(-9). Suppose 4*s - 16 - 76 = j. What is the remainder when s is divided by h?
11
Suppose 0 = -8*b + 3*b + 10. Suppose 3*u + b*h = 5*h + 15, -3*u = -h - 11. Calculate the remainder when 9 is divided by u.
0
Let b(v) = -14*v - 86. Let x(q) = 3*q**3 - 4*q**2 + q + 1. What is the remainder when x(3) is divided by b(-8)?
23
Suppose -5*s = -4*c - 62, -5*c + 0 = s + 5. Suppose -36 = -3*y + y. What is the remainder when y is divided by s?
8
Let n(r) be the second derivative of -r**5/20 - r**4/2 - r**3/6 + r**2/2 + 3*r. Suppose -v + 13 = -0*v. Calculate the remainder when v is divided by n(-6).
6
Suppose -f - 3*f = -4. Let n(x) = 36*x + 1. Let q = -5 + 24. Calculate the remainder when n(f) is divided by q.
18
Let k(m) = -m**3 - 10*m**2 + 8*m + 9. Let b be k(-11). Suppose b = 4*s - 18. What is the remainder when s is divided by 9?
6
What is the remainder when 10/((-10)/(-8) + -1) is divided by 14?
12
Let t be (-22)/(-6) - 2/3. Suppose 24 = t*o - o. Suppose 6*c - o = 3*c. What is the remainder when 15 is divided by c?
3
Suppose -2*z + 7 = 5*r, 4*z + 2*r - 6 + 0 = 0. Calculate the remainder when 13 is divided by 10 + (1/z - 4).
6
Let u(y) = -5*y**3 + 2. Let o be u(-2). Suppose -2*r + 2 = -o. Calculate the remainder when 63 is divided by r.
19
Let h(z) = -14*z. Let j be h(6). Calculate the remainder when 12 is divided by (j/(-18))/(2/3).
5
Suppose -2 = -3*z + 7, -4*a + 3*z - 5 = 0. Let d(r) = r**2 - 19*r - 5. Calculate the remainder when 30/a + (0 - 1) is divided by d(20).
14
Calculate the remainder when 87 is divided by (7 + -4)/(-3) + 23.
21
Let t = -34 - 107. Calculate the remainder when (-3 + 4)/((-3)/t) is divided by 16.
15
Suppose 99 + 54 = 3*a. Calculate the remainder when a is divided by 13.
12
Let y = -12 + 18. Suppose f + 65 = y*f. What is the remainder when 61 is divided by f?
9
Let g(j) = -j**3 + 8*j**2 + 10*j - 7. Calculate the remainder when 4 is divided by g(9).
0
Let o be (5/3)/((-3)/45). Let j = 35 + o. Calculate the remainder when 37 is divided by j.
7
Let j(w) = 7*w**2 + 2*w. What is the remainder when j(-2) is divided by 13?
11
Let x(o) = o**3 + 12*o**2 - 16*o - 30. Calculate the remainder when x(-13) is divided by 5.
4
Suppose 0 = y - 4*y + 12, -4*q + 64 = -4*y. Calculate the remainder when 37/((-2)/(-12) + (-5)/(-6)) is divided by q.
17
Suppose 10*d - 18 = 8*d. Calculate the remainder when 25 is divided by d.
7
Suppose 64 = 5*z - 136. Suppose -419*v = -427*v + 168. What is the remainder when z is divided by v?
19
Let q = 44 - 29. Let o(u) = 2*u - 1. Let m be o(2). Suppose 0 = m*l - 3, 143 = 3*t + 3*l + 56. Calculate the remainder when t is divided by q.
13
Let d(k) = k. Let v(u) = -5*u + 5. Let g(i) = 4*d(i) + v(i). What is the remainder when 8 is divided by g(0)?
3
Let l(q) be the third derivative of -q**4/8 + q**3/6 - 2*q**2. Let t be l(1). What is the remainder when 3 is divided by 3 - (t - (-6 - -3))?
1
Let u(m) = m**3 + 6*m**2 + 2*m - 4. Let f be 14/1*2/4. Let i(n) = n - 12. Let g be i(f). What is the remainder when 21 is divided by u(g)?
10
Let q(p) = -2 + 4*p - p + 3. Calculate the remainder when (1/(-5))/((-3)/285) is divided by q(3).
9
Suppose -p + 43 = -4*k, -86 = -2*p - 5*k + k. Suppose 5*j = -7*w + 3*w - p, -3*w - 76 = -5*j. Let m = w + 28. Calculate the remainder when 31 is divided by m.
9
Suppose 0 = -3*x + 10 - 4. Suppose 0 = 3*q - 3*b + 5 + 7, x*b + 13 = -5*q. What is the remainder when (6/4)/(q/(-28)) is divided by 5?
4
Suppose -4*o - 4*p + 98 = o, 4*o - 76 = -2*p. Let j = -16 - -18. Suppose 3*i - j*i - 10 = 0. What is the remainder when o is divided by i?
8
Let m(f) = -2*f**3 - 5*f**2 - 2*f + 8. Calculate the remainder when m(-4) is divided by 11.
9
Suppose 4*y - 3*y = 3. What is the remainder when 3 is divided by y?
0
Let s = -6 + 5. Let m(h) = 38*h**3 + 7*h + 1. Let v(x) = 37*x**3 + 6*x + 1. Let f(g) = 4*m(g) - 5*v(g). What is the remainder when f(s) is divided by 18?
16
Let h(j) = 0*j**2 + 2 + 3*j**2 - j**3 - 4*j + j**2 + 0*j**3. Let t be h(3). Calculate the remainder when t*2 - 3*-8 is divided by 8.
6
Suppose 58*h = 54*h + 76. What is the remainder when 54 is divided by h?
16
Suppose -4*r - 16 = 4*d - 44, r + 41 = 5*d. Let y(m) = -m**2 + 12*m - 6. Calculate the remainder when y(d) is divided by 9.
8
Suppose 9*y = 4*y - 40. Let b = 11 + y. Suppose g - b*g - 192 = -5*u, -g - 1 = 0. Calculate the remainder when u is divided by 13.
12
Let t be 3/((-9)/(-2) + -3). Let x = 9 - t. What is the remainder when 26 is divided by x?
5
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