Let h be v(4). What is the remainder when 3/(-6) - h/4 is divided by j?
10
Suppose 11*n - 15*n + 8 = 0. Calculate the remainder when 6 is divided by n.
0
Let y be -3*-4*(-4)/48. What is the remainder when (-17 + -2)/(y - 0) is divided by 6?
1
Suppose -t = 4*t - 150. Suppose 0 = 3*u + 9 + t. Let o = u - -23. What is the remainder when 28 is divided by o?
8
Let h(z) = -12*z + 4. Let i(q) = 8*q - 3. Let w(u) = 5*h(u) + 7*i(u). What is the remainder when 69 is divided by w(-9)?
34
Let g be (10/(-4))/(2/(-4)). Suppose d = -0*d + 2*k + g, 4*d + 5*k = 7. Suppose -d*m + 245 = 2*m. Calculate the remainder when m is divided by 17.
15
Let h = 6 + -4. Suppose 3*x - 33 = h*d, -3*x + 3*d + 33 - 3 = 0. What is the remainder when (-2)/(-13) + 297/x is divided by 8?
7
Calculate the remainder when 167 is divided by (-2)/6 - (-219)/9.
23
Let w(l) = -10*l - 2. Let k = -2 + -2. Suppose 4*y - 23 = -2*z + 27, 20 = 4*y - 4*z. What is the remainder when w(k) is divided by y?
8
Suppose 0 = -j + 5*w + 1, 0 = -5*j - 0*j - 2*w + 32. Suppose -4*l = -5*l - j. Calculate the remainder when 23 is divided by (-3 + -1)/(2/l).
11
Let u = -1143 + 2108. Suppose -6*h = -h - u. Let p = h - 134. Calculate the remainder when p is divided by 20.
19
Let c(o) = o**3 - 6*o**2 - o + 5. Let r be c(5). Let w = r - -40. What is the remainder when 266/6 + (-1)/3 is divided by w?
14
Suppose -4*j + 16 = -20. Let c = 16 - j. Calculate the remainder when 17 is divided by -3 + c + (2 - 0).
5
Let i = -250 - -174. Suppose 0 = h - 0*h + 129. Let z = i - h. What is the remainder when z is divided by 14?
11
Suppose -5*l + 5 = 5*h, 0 = -4*h + 2*l + 16. Suppose g = h*g - 2. Let p(f) = -3*f**3 - 3*f**2 - 2*f. What is the remainder when p(-1) is divided by g?
0
Let y = 35 + -25. Suppose -y = 4*j + 2. Let i = j + 13. What is the remainder when 18 is divided by i?
8
Suppose -5*v + 8 = -7. Suppose 0 = w - v*x - 30, -4*w = 3*x - 5*x - 70. What is the remainder when ((-2)/6)/((-2)/174) is divided by w?
14
Suppose 0 = 7*z - 11*z + 92. What is the remainder when (-130)/(-3) - 2/6 is divided by z?
20
Suppose 3*g = 5*h + 93, h + 4*g = -0*h - 14. Let o = 59 - h. Calculate the remainder when o is divided by 26.
25
Let u(g) = g**3 + 4*g**2 - 3. Let k = 7 - 4. Suppose 0*h - 2*v + 13 = -k*h, 4*h + 2 = -5*v. Calculate the remainder when u(h) is divided by 3.
0
Suppose -4*x + 0*x + 8 = 0. Let w(j) = j - 6. Let s be w(8). What is the remainder when 42 + s + (1 - x) is divided by 15?
13
Let y = -45 + 67. Suppose a + 8 = h, 9*h + 2*a - 40 = 4*h. Calculate the remainder when y is divided by h.
6
Let l = -111 + 123. Calculate the remainder when 24 is divided by l.
0
Let l(k) = k**2 + 8*k + 9. Let j(z) = -2*z + 21. What is the remainder when l(-8) is divided by j(8)?
4
Calculate the remainder when -6*(-4)/8 + 31 is divided by 18.
16
Let x(m) be the third derivative of m**5/60 - 5*m**4/24 + m**3/2 + 3*m**2. What is the remainder when 7 is divided by x(5)?
1
Suppose v + 2*v = -4*k + 40, 5*k = -4*v + 50. Calculate the remainder when 24 is divided by k.
4
Let l(r) = r**2 - r - 5. Let z(c) = c**3 + 15*c**2 + 12*c + 15. What is the remainder when z(-14) is divided by l(5)?
13
Let o = 14 - -26. What is the remainder when o is divided by 21?
19
Let y(n) = n**2 - 9*n - 4. What is the remainder when y(10) is divided by 4?
2
Let u = 21 + -13. Let x(q) = q**3 + 5*q**2 - 2*q - 5. Let a(b) = b + 1. Let j be a(-6). Calculate the remainder when u is divided by x(j).
3
Let a(t) = 3*t - 2. Let w be a(2). Suppose -3*f - r = -47, r - 19 - 44 = -w*f. Calculate the remainder when f is divided by 9.
7
What is the remainder when 50 is divided by 156/(-8)*(-10)/15?
11
Let i(r) = 2*r + 8. Let o be i(6). Let a be 392/o + (-2)/(-5). Let t = -9 + a. What is the remainder when 20 is divided by t?
9
Let c(h) = h**3 - h - 3. Let x be c(3). Calculate the remainder when 12/x + 516/28 is divided by 11.
8
Let q = -4 - -1. Calculate the remainder when 30 is divided by -2 + ((-3)/q - -9).
6
Suppose -4*h - r + 24 = -3*r, 2*r = 3*h - 20. What is the remainder when 11 is divided by h?
3
Let l(f) = 2*f**3 - 4*f**2 + 2*f. Let z be l(2). Let c(m) = m + 4. What is the remainder when 14 is divided by c(z)?
6
Suppose t = 5*t - 368. Let a = 1 - 1. Suppose g + t = 3*g - 4*m, a = -g - 4*m + 64. Calculate the remainder when g is divided by 18.
16
Let w(d) = 5*d**2 - 2*d - 1. Calculate the remainder when w(3) is divided by ((-78)/(-9))/((-4)/(-6)).
12
Suppose x + 0*x + 27 = 0. Let c = x + 45. Let w = 12 - 2. What is the remainder when c is divided by w?
8
Suppose 2*p - 126 = -5*n, -2*p - 2*p = -4*n + 112. Let a(j) = 100*j + 1. Calculate the remainder when a(1) is divided by n.
23
Let y(p) = 5 - 7*p - p**3 - 4 - 1 + 8*p**2 + 10. Calculate the remainder when y(7) is divided by 3.
1
Let a(h) = 4*h + 6. Let c be ((-2)/4)/((-1)/14). Let v = 22 + -10. What is the remainder when a(c) is divided by v?
10
Let u = -32 - -44. What is the remainder when u is divided by 7?
5
Let n(g) = -11*g - 3. Suppose -6*y + 2*y = 0. Suppose b + 9 - 64 = y. What is the remainder when b is divided by n(-2)?
17
Let o be 6/(-27) + (-43)/9. Let y = -6 - -9. Calculate the remainder when (-37)/o - (-10)/(-25) is divided by y.
1
Suppose 0 = 2*w + 3*w - 10. Suppose w*p - 12 = -p. Suppose 7 = 2*d + 3. Calculate the remainder when p is divided by d.
0
What is the remainder when 39 is divided by (4/(-10))/(12/(-420))?
11
Suppose 0 = -5*c - 3*h + 130, 0 = -5*h - 34 + 9. What is the remainder when (-3)/12 - (-457)/4 is divided by c?
27
Suppose 4*p - 5*i = 28, -p - 4*p - 2*i + 2 = 0. Suppose -20 = -2*b - 2*b. What is the remainder when b is divided by p?
1
Let a(y) = -2*y**2 + 3*y + 2. Let o be a(3). Let z = -3 - o. What is the remainder when 15 is divided by (-32)/(-6)*6/z?
7
Suppose w - 4 = 5*d, -4 = -4*d + 4*w - 5*w. Let y be d/(-4) - 4*-1. Suppose 230 = y*c + c. What is the remainder when c is divided by 16?
14
Let m(r) = 29*r**3 - 2*r + 1. Let w be m(1). Suppose 0 = 3*h + 5*x - 40, 2*h + 3*x + x = w. What is the remainder when 19 is divided by h?
9
Let p(m) = -m**3 - 7*m**2 + 7*m - 4. Let c be p(-8). Calculate the remainder when 11 is divided by (c - -1)*12/10.
5
Suppose x = 14 - 7. Suppose -9 = -4*t + x. What is the remainder when 11 is divided by t?
3
Suppose 0*m + 129 = 5*m + 2*n, -3*m - n + 78 = 0. Calculate the remainder when m is divided by 7.
6
Suppose 2*l - 3*k - 39 = 0, -l - 8 + 0 = 4*k. Let i = -7 - -24. Let b = i + 18. What is the remainder when b is divided by l?
11
Let v(d) = -d**2 - 5*d + 7. Let p be v(-6). Let x = 12 - p. Calculate the remainder when x is divided by 4.
3
Suppose 2*k + 19 = 3*k. Calculate the remainder when 54 is divided by k.
16
Calculate the remainder when 12 is divided by 65/9 + (-10)/45.
5
Suppose -4 = -5*i + 21. Suppose 4*n + 27 = i*u, -4*n + 2*n - 9 = -u. What is the remainder when u is divided by 3?
0
Let h(a) = -a**2 + 6*a - 5. Let x be h(4). Suppose -37 + 129 = 4*f - 4*i, -x*i = 6. What is the remainder when f is divided by (22/(-6))/((-1)/3)?
10
What is the remainder when 9 is divided by ((-4)/(-5))/(16/80)?
1
Suppose 0 = 2*c - 26 + 4. Let t = -1 - -1. Suppose -4*o = -t*h + 4*h - 16, -4*h = -2*o - 28. What is the remainder when c is divided by h?
5
Let r = 0 + 7. Let s = r - 5. Suppose 2*j - 3*u - 76 = u, s*u = 4*j - 134. What is the remainder when j is divided by 11?
10
Let p = -80 - -125. Let c = p + -23. Suppose -v = -0*v - 12. What is the remainder when c is divided by v?
10
Suppose -2*a - j = 0, -4*j - 15 = 1. Suppose -2*t + i = -86, 0 = -4*t + a*i - 3*i + 160. What is the remainder when t is divided by 14?
13
Let x(z) = -6*z - 1. Suppose -6*h = -7*h + 112. Let n = -79 + h. Calculate the remainder when n is divided by x(-3).
16
Suppose 0 = 5*u - 3*q + 6*q - 46, 0 = 2*u - 5*q - 6. Calculate the remainder when u is divided by 3.
2
Let o(l) = -l**2 + 42. Let s be o(0). What is the remainder when (s/15)/((-2)/(-10)) is divided by 46/6 - (-2)/6?
6
Suppose 2*a + 4*c + 142 = 4*a, 2*a + 3*c - 177 = 0. Calculate the remainder when a is divided by 1/((-2)/(-6))*(2 + 5).
18
Let q = 155 + -88. Calculate the remainder when q is divided by 17.
16
Suppose -5*r = -5*j + 100, 2*r = 3*j - 79 + 15. Suppose -4*a - 45 = -9*a. What is the remainder when j is divided by (2 - 1)/(1/a)?
6
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