
7
Let u be ((-85)/20)/(1/(-4)). Suppose 5*z + 2*b = 45, -3*b = z - b - u. Calculate the remainder when z is divided by 3.
1
Let v = -19 - -12. What is the remainder when 31 is divided by (1 + v)/((-6)/16)?
15
Let f(b) = b**2 + 2*b + 2. Let x be f(-2). Suppose -z = -2*w + x*z + 182, -2*z - 90 = -w. Let y = -47 + w. What is the remainder when y is divided by 16?
15
Let x = -3 - -15. Calculate the remainder when x is divided by 7.
5
Let m be 2 + (-9)/3 - -4. Calculate the remainder when 21 is divided by m/2 + (-78)/(-12).
5
Suppose 2 = 2*j - 4. Suppose j*m + 20 = 62. What is the remainder when 40 is divided by m?
12
Let b(w) = w**2 - 9*w - 14. Let d be ((-1 - -1)/1)/(-1). Calculate the remainder when -3*14/(-3) + d is divided by b(11).
6
Let n = -54 - -85. Let l(b) = 15*b + 1. What is the remainder when n is divided by l(1)?
15
Suppose -z + 16 = 4. Let g = 74 + -39. Calculate the remainder when g is divided by z.
11
Suppose 0 = q - 5*q + 184. Calculate the remainder when q is divided by 6.
4
Suppose -4 = 4*x - 12. Let p(y) = 3*y**2 + 3*y. What is the remainder when p(x) is divided by 4?
2
Let y(o) = -o + 3. Calculate the remainder when (-4)/(-10) + 116/10 is divided by y(-4).
5
Suppose 4 = 5*z - 41. Suppose -3*u + 98 = m, 4*u - 78 = -3*m + 46. Calculate the remainder when u is divided by z.
7
Let f(h) = 3*h**2 + h + 2. Let g(l) = 8*l**2 + 3*l + 5. Let m(j) = 7*f(j) - 2*g(j). What is the remainder when 42 is divided by m(-2)?
20
Let p be (1 + -1)/(7 + -5). Let r(g) = g**3 - g + 21. What is the remainder when r(p) is divided by 11?
10
Suppose -4 = 2*d - 4*x - 68, 0 = -2*d + 2*x + 64. Suppose -5*b + r + 299 = 4*r, 4*r - 236 = -4*b. What is the remainder when b is divided by d?
29
Calculate the remainder when 25 is divided by 0 + 2/14 + 65/35.
1
Let z(l) = -12*l + 10. Let c be z(5). Let q = 83 + c. What is the remainder when q is divided by 9?
6
Suppose -3 + 2 = -p. Let s(k) = 37*k. Calculate the remainder when s(p) is divided by 10.
7
Let u = 5 - 0. Let h(y) = -3*y + 0*y + 2*y - u. What is the remainder when h(-7) is divided by 2?
0
Suppose -w - 35 = -6*w. Let x(f) = -f**3 + 4*f**2 + 2*f - 2. Calculate the remainder when x(3) is divided by w.
6
Let t = -155 + 286. Suppose -5*v - 4*d = -t, -43 = -v - 0*v - 5*d. Suppose k - v = 2. What is the remainder when k is divided by 13?
12
Suppose 0 = -y - 2*y - z - 1, -4*z - 19 = -3*y. Suppose 2 = i + y. Let x(w) = 38*w - 1. Calculate the remainder when x(i) is divided by 13.
11
Let i(a) = -5*a**2 - a. Let u be i(1). Let v = u - -6. Suppose 3*m + g - 20 = 21, v = -5*m + 4*g + 57. Calculate the remainder when 37 is divided by m.
11
Let d(p) = p**2 - 1. Calculate the remainder when 58 is divided by d(4).
13
Let r(b) = 4*b - 3. Calculate the remainder when 86 is divided by r(7).
11
Suppose -4*q = -26 + 10. What is the remainder when 9 is divided by q?
1
Let a(x) = -x**3 + 6*x**2 + 2*x - 6. What is the remainder when 14 is divided by a(6)?
2
Let i(f) = f**3 + 6*f**2 + 4*f - 4. Calculate the remainder when 41 is divided by i(-4).
5
Suppose 4*n + 16 - 134 = -2*z, 4*n - z = 121. What is the remainder when 59 is divided by n?
29
Suppose 5 = -h, 5*h + 24 + 124 = 3*y. What is the remainder when y is divided by 11?
8
Suppose -5*z + 15 = -0. Suppose 4*h - 2*k - 18 - 12 = 0, z*k = 9. What is the remainder when 17 is divided by h?
8
Let z = 60 + -54. Let u = 4 + -6. What is the remainder when z is divided by 1 - (-3)/(u + 3)?
2
Let v(i) be the second derivative of -i**3/2 - 2*i. Let g(f) = -f**2 + 24. Calculate the remainder when g(0) is divided by v(-3).
6
Let m(t) = 9*t + 24. Let k(s) = -3*s - 8. Let b(h) = -17*k(h) - 6*m(h). Let u = -42 + 46. Calculate the remainder when b(-6) is divided by u.
2
Suppose 0 = -5*p + 13 + 32. Let t(a) = a**3 - 4*a**2 - a - 8. Let i be t(6). Suppose -6 - i = -4*q. What is the remainder when q is divided by p?
7
Let p be (-244)/(-8)*8/1. Suppose -4*c + p = -0*c. Calculate the remainder when c is divided by 21.
19
Let l(j) = -7*j - 3. Calculate the remainder when 42 is divided by l(-1).
2
Let h(x) = -x**3 - 13*x**2 + 13*x - 7. Calculate the remainder when h(-14) is divided by 8/((-3)/(12/(-8))).
3
Suppose -3*t + 49 + 116 = 0. Let c be (-1)/(-3) - 190/(-6). Let y = t - c. What is the remainder when 43 is divided by y?
20
Suppose 2*r = 4 + 104. Calculate the remainder when r is divided by 7.
5
Let l = -18 - -127. Suppose f = 4*h + l, -2*f + 5*f - 3 = 0. Calculate the remainder when -1 + -4 + 3 - h is divided by 14.
11
Calculate the remainder when -2*(315/(-10))/7 is divided by 7.
2
Suppose 6*j + 255 = 5*d + 5*j, 3*d - 2*j = 153. Let v = 187 - 160. What is the remainder when d is divided by v?
24
Let c(z) = z**3 - 3*z**2 - 3*z - 18. What is the remainder when 100 is divided by c(5)?
15
Let g = -6 + 12. What is the remainder when 23 is divided by g?
5
Suppose 2*v - 19 - 21 = 0. Suppose -a + v = -17. What is the remainder when a is divided by -5*2/(10/(-19))?
18
Let v(r) = r**3 + 16. Calculate the remainder when 171 is divided by v(0).
11
Let f(a) = 0*a - 6*a + 4*a + 80. What is the remainder when f(0) is divided by 27?
26
Let m(j) = j + 6. Let y be m(-4). Let c(v) = 5*v**2 - 4*v + 5. What is the remainder when 32 is divided by c(y)?
15
Let w(n) = -n**3 + 5*n**2 - 2*n - 3. Let o be w(5). Let h = 7 + o. Let t(y) = y**3 + 7*y**2 + 4*y + 3. Calculate the remainder when 29 is divided by t(h).
14
Let r = 30 - 20. Calculate the remainder when 16 is divided by r.
6
Let q = 12 - 1. Calculate the remainder when q is divided by 4/6 + 70/21.
3
Suppose c - 18 = -4*y, 3*c + 6 = 4*y - y. Let s(n) = n**3 + 2*n**2 + n. Let u be s(-1). Calculate the remainder when u/1 + 13 + -2 is divided by y.
3
Let x(p) = -p - 6. Let b be x(-8). Suppose -2*l + 59 = b*i + 3*l, -41 = -3*i + 2*l. Suppose 18 = g + 2*g. Calculate the remainder when i is divided by g.
5
Suppose 307 = 5*h - 113. What is the remainder when h is divided by 43?
41
Suppose -r + 36 = 9. Let a = 14 - 7. What is the remainder when r is divided by a?
6
Suppose 4 = r + 18. Let n = -5 - -24. Calculate the remainder when n is divided by 38/4 - 7/r.
9
Let u(g) = -g**3 - 8*g**2 + 9*g + 8. Suppose 0 = -0*m - 5*m. Suppose 5*t - 2*x - 5 - 60 = m, x = -4*t + 65. Calculate the remainder when t is divided by u(-9).
7
Suppose 22 = 2*h - 4*y, 0 = -4*y - 11 - 1. Suppose -w - z = -0*w - 48, h*z + 156 = 4*w. Calculate the remainder when w is divided by 15.
14
Suppose 2*p + 4 = 0, -2*k = -6*k + p + 18. Let z(j) = 4*j - 6. What is the remainder when z(k) is divided by 4?
2
Suppose -2*k + 2*v - 6 = -3*k, 3*k = 4*v - 2. Suppose k*s + 92 = 4*s. What is the remainder when s is divided by 16?
14
Suppose 3*g = -4*m + 452 + 983, 4*g = 20. Suppose -m = -5*l - 10. What is the remainder when l is divided by 18?
15
Suppose 4 = -4*h - 0*h. What is the remainder when 65 is divided by (h/(-3))/((-16)/(-816))?
14
Suppose 3*m = i - 0*i - 11, -3*m - 3 = -3*i. Let d be (8/(-10))/(1/(-5)). What is the remainder when d/(-1 + m/(-4)) is divided by 9?
7
Let b = 0 - -5. Suppose 3*x = u + 20, 20 = x + 8*u - b*u. What is the remainder when 13 is divided by x?
5
Let g = 56 + -92. Calculate the remainder when 15*(2/(-2) - -2) is divided by (-225)/g + (-1)/4.
3
Suppose -2*p + 13 = 5. What is the remainder when 8 is divided by p?
0
Let t(z) = -1 + z + 2 + 3. Let l be t(-6). Calculate the remainder when 14 is divided by (-13)/l + 3/2.
6
Calculate the remainder when 58 is divided by (-1)/7*-41 + 4/28.
4
Suppose 0 = 2*x - 0*x - 26. Let u(c) = c - 6. Let f be u(5). Calculate the remainder when x is divided by f/(-4)*-2*-14.
6
Let a(z) = -z**2 - 9*z - 12. Let w be a(-9). What is the remainder when 17 + -3*(-8)/w is divided by 6?
3
Let y be (-136)/(-5) + 3/(-15). Let o = y - 19. What is the remainder when 22 is divided by o?
6
Let s = -129 + 223. Calculate the remainder when s is divided by 19.
18
Let n = 5 - 2. Let o = 12 - n. Suppose 5*l = 4*r - o - 5, 5*r = -5*l - 5. Calculate the remainder when r is divided by 1.
0
Let j be (-4)/(-3) - (-2)/3. Suppose 4*w - 9*w + 50 = 0. Calculate the remainder when (-1)/j*(0 - 58) is divided by w.
9
Suppose r - 2*r - 3 = 0. What is the remainder when (r - 1)*(-20)/2 is divided by 14?
12
Let t(q) = -29*q + 10. Calculate the remainder when t(-3) is divided by 25.
22
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