n 5 - (2 - 5)*8 is divided by 15.
14
Let q(v) be the third derivative of v**5/60 - v**4/24 + v**3/3 + 9*v**2. Calculate the remainder when 63 is divided by q(-4).
19
Let r be 357/5 + 6/(-15). Let o = r + -24. Suppose -48 = 2*h - 5*h. Calculate the remainder when o is divided by h.
15
Let q(y) = 3*y - 9. What is the remainder when 46 is divided by q(7)?
10
Let t = -14 - -26. Let u(n) = -3*n - 3. Let p be u(-2). Suppose -2*g = g + p*v - 15, 0 = -4*g + 2*v + 20. What is the remainder when t is divided by g?
2
Let l(m) = -4*m**2 + m + 1. Let y be l(-1). Let q(x) = -3*x + 3. What is the remainder when 29 is divided by q(y)?
14
Suppose 205 = 5*x - 5*z, -2*z + 53 - 249 = -5*x. Calculate the remainder when x is divided by 4.
2
Suppose -w - 4*w + 230 = 0. Let k(v) = v + 7. Let p = -4 + 9. What is the remainder when w is divided by k(p)?
10
Let i = -22 + 28. Suppose 4*w + 34 = 2*a, -5*a + 4*w = 67 - 170. What is the remainder when a is divided by i?
5
Suppose 14 = -5*f + 34. Calculate the remainder when 27 is divided by f.
3
Let p(x) = -4*x**3 + 7*x**2 - 9*x + 3. Let f(l) = -7*l**3 + 13*l**2 - 17*l + 6. Let n(h) = -3*f(h) + 5*p(h). What is the remainder when 40 is divided by n(4)?
19
What is the remainder when 17 is divided by 8*1/(4/3)?
5
Suppose -16*v + 14*v = 664. What is the remainder when v/(-8) + (-6)/(-4) is divided by 23?
20
Suppose 0 = -4*o + 6*o - 88. Calculate the remainder when o is divided by (-4)/(-22) + 4698/297.
12
Suppose -4*b + 10*b = 264. Suppose 3*g = -11 + b. What is the remainder when 41 is divided by g?
8
Let n(r) = 7*r**3 + 2*r**2 + 2*r - 3. Calculate the remainder when 12 is divided by n(1).
4
Calculate the remainder when 4/(-2)*(11/(-2) - -4) is divided by 1.
0
Suppose 0 = 3*k + 2*k - 60. Calculate the remainder when 34 is divided by k.
10
Suppose 17 = 5*s - 23. Let w(o) = -4*o - 6. What is the remainder when w(-9) is divided by s?
6
Suppose 4*p - 35 = 5*k, 4*p - 3*p - k = 10. Suppose 4*o - 3*o = p. Calculate the remainder when 57 is divided by o.
12
Let t(w) = w**2 - 10*w + 3. Let d be t(8). Let m = -9 - d. What is the remainder when 14 is divided by m?
2
Let t(u) = -9*u - 11. Calculate the remainder when t(-10) is divided by 14.
9
Suppose 16 = -3*o + 7*o. Suppose 0 = -5*u - 2*l + 15 + 2, -7 = -3*u + 2*l. Let r = 10 - u. Calculate the remainder when r is divided by o.
3
Let t = -56 + 91. Suppose 5*j = 290 - t. Calculate the remainder when j is divided by 18.
15
Let z be ((-2)/2)/((-1)/5). Suppose 0*p - 3*o - 11 = -p, -4*p = z*o - 10. Calculate the remainder when (53/(-2))/(p/(-10)) is divided by 18.
17
Let u(x) = x**2 + 7*x - 4. Let m be u(-6). Suppose 0*d - 4*y - 48 = -d, -43 = -d - y. Calculate the remainder when d is divided by 4/(-10) - 154/m.
14
Let t = -24 + 53. Calculate the remainder when t is divided by 8.
5
Let u(x) = -2*x**3 - 8*x**2 - 3*x + 12. What is the remainder when u(-5) is divided by 10?
7
Let y(g) = -g**3 + g + 29. Calculate the remainder when y(0) is divided by 16.
13
Let r(t) = 2*t**2 - 6*t - 2. Calculate the remainder when r(-3) is divided by 7.
6
Suppose 0 = -2*f - 0*f + 86. What is the remainder when f is divided by 11?
10
Let i(q) = -q**3 + 2*q + 3. Let x(o) = -o. Let l be 1 + 0/(-2) - 10. Calculate the remainder when i(-3) is divided by x(l).
6
Suppose 3*g = g + 34. Suppose j + 4*w = 4*j - 31, -33 = -4*j - 3*w. What is the remainder when g is divided by j?
8
Suppose 41 = u + 5*k, -3*u + k + 191 = -k. Calculate the remainder when u is divided by 16.
13
Let v = 7 + -5. Suppose 0 = v*q - 3 - 3. Suppose 0 = q*x + 15 - 117. Calculate the remainder when x is divided by 12.
10
Suppose -3*a = 4*x - 327, x + 180 = 2*a - 27. What is the remainder when a is divided by 28?
21
Suppose 0 = -n + 5, -n = t - 5*n + 17. What is the remainder when 19 is divided by t?
1
Let d(k) = -24*k - 2. Let q be d(-4). Calculate the remainder when 34 is divided by q/10 - 6/15.
7
Let y(b) = 2*b**2 + 18*b + 18. Calculate the remainder when y(-11) is divided by 21.
20
Suppose -4*z + 5*c + 21 = -3*z, 0 = 2*c + 2. Calculate the remainder when 72 is divided by z.
8
What is the remainder when 22 is divided by 7 + (-2)/(-6)*-3?
4
Let w = -10 - -10. Suppose -4*h + 38 - 10 = w. Calculate the remainder when h is divided by 2.
1
Suppose 3*q - q - 15 = -d, 4*q = 2*d - 30. What is the remainder when d is divided by 6?
3
Suppose 0 = -4*c + c + 156. What is the remainder when c is divided by 9?
7
Suppose 7 = 5*i - 3. Calculate the remainder when i is divided by 2.
0
Suppose -6*w - 61 + 355 = 0. Calculate the remainder when w is divided by 13.
10
What is the remainder when (-74)/(-3) - 2/(-6) is divided by (-2 + 1 + -2)*-3?
7
Let d be -14*(2 + (-15)/6). Let g(k) = -k**2 - 3*k + 2. Let l be g(d). What is the remainder when (-6)/10 + l/(-5) is divided by 5?
3
Let p = 12 + -17. Let j = -4 - p. Let n = 1 + 1. Calculate the remainder when n is divided by j.
0
Let t(a) = a**3 - 7*a**2 + 6*a + 5. Let w be t(6). Suppose -h + 120 = 2*b - 6*h, 3*b - w*h = 185. Calculate the remainder when b is divided by 17.
14
Let o = -15 + 31. Calculate the remainder when 63 is divided by o.
15
Let o be (-20)/(-4)*(-3 + 4). Calculate the remainder when 50 is divided by o/10 - 140/(-8).
14
Let j be (1 + 0)*(2 + 74). Suppose 0 = -4*a + j + 168. What is the remainder when a is divided by 32?
29
What is the remainder when 394/6 + 4/(-6) + 0 is divided by 11?
10
Calculate the remainder when (-6 - -5) + 3/((-6)/(-128)) is divided by 22.
19
Suppose 0 = -2*w + 4 - 2. Let h = -8 + 12. Let c = 5 - h. Calculate the remainder when w is divided by c.
0
Suppose -4*s = -2*c - 18, -5*s = -2*s + 5*c + 19. What is the remainder when (-13)/(-5) + s/5 is divided by 3?
0
Let n(q) = -19*q. Let j(i) = -i**2 + 3*i - 1. Let l be j(3). Let t(z) = 2*z**2 - 3*z - 9. What is the remainder when t(-5) is divided by n(l)?
18
Suppose -6 = -2*w + 26. What is the remainder when w is divided by 6?
4
Let q(p) = -2*p - 8. Suppose 0 = 5*u - n + 39, 2*n = u + 5*n - 5. What is the remainder when 16 is divided by q(u)?
4
Let y(h) = 8*h**3 + 5*h**2 + 2*h - 1. Calculate the remainder when y(2) is divided by 15.
12
Let u(d) = 12*d + 2. Calculate the remainder when 76 is divided by u(2).
24
Suppose -10 = m - 2*m. Calculate the remainder when 32 is divided by m.
2
Let o(p) = 5*p**2 - 2 + 5*p + p**2 + 3 + p**3. Suppose -22 = -0*r + 3*r - 5*s, s = 5*r. What is the remainder when r is divided by o(-5)?
0
Let m be -1*2 - (-2 - -1). Let d be (-3)/(3/(-4)) + m. Suppose -184 = -7*p + d*p. Calculate the remainder when p is divided by 16.
14
Suppose 0*j = 2*j - 34. Let b = 39 - j. Calculate the remainder when 65 is divided by b.
21
Suppose -44 = 2*z - 7*z + p, 8 = z - p. Let v(l) = 26*l**2 - 2*l + 1. Calculate the remainder when v(1) is divided by z.
7
Let r = -6 + 12. Let f(d) = d**3 - 4*d**2 - 9*d + 3. What is the remainder when f(6) is divided by r?
3
Let f(l) = -l**3 + 12*l**2 - 15*l + 4. What is the remainder when f(10) is divided by 14?
12
Calculate the remainder when 1/(-5) - (-122)/10 is divided by 5.
2
Suppose 2*b + 0*b - 20 = 0. Calculate the remainder when ((-140)/(-6))/(b/15) is divided by 9.
8
Let c be (-6)/9 - (-2)/(-6). Let o be (c - 1)/(-1 - 1). Calculate the remainder when 37 is divided by (o + -14)*(-5 - -4).
11
Let z(m) = m**2 - 3*m - 9. What is the remainder when z(9) is divided by -1*(-92)/(-4)*-1?
22
Let r(t) = 5*t**3 - 4*t + 3. Calculate the remainder when r(2) is divided by 19.
16
Let k(u) = u**2 - u + 20. Let j = 4 - 4. Calculate the remainder when k(j) is divided by 11.
9
Let n be 508/10 + (-1)/(-5). Suppose 3*v = 3*f - n, 8 = -2*v + 2. What is the remainder when 27 is divided by f?
13
Let k = 11 + 3. Let b(g) = -4*g. Calculate the remainder when k is divided by b(-2).
6
Let k(x) = -x**2 - 20*x - 91. Let l = 96 + -66. Calculate the remainder when l is divided by k(-9).
6
Suppose 4*q - 37 = 55. What is the remainder when 15*-5*(-9)/15 is divided by q?
22
Suppose -3*j - 9 = -8*j - 2*p, 0 = 4*j + 2*p - 6. Suppose j*t - 51 = -0*t. Let z = 26 - t. Calculate the remainder when 16 is divided by z.
7
Suppose -r = 5*f - 45, 4*f + 2*r - 32 = 10. Let o = 20 - f. Calculate the remainder when 23 is divided by o.
11
Suppose 4*h + h + 5*q = 70, -3*q + 6 = 0. Calculate the remainder when 34 is divided by h.
10
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