h + 14 = c. Calculate the remainder when q is divided by c.
9
Let l = -3 - -6. Suppose -2*w + 8 = 2*w + 4*f, 5*w - 28 = f. Suppose -4*z - 3*a = -17, 2*a = w*a + 15. What is the remainder when z is divided by l?
2
Let a(w) = 8*w - 3. What is the remainder when a(7) is divided by 14?
11
Let r(f) = -2*f. Let n be r(-1). Suppose n*u - 108 = -5*a + 3*a, -a = 4. What is the remainder when u is divided by 20?
18
Suppose -z - 4*z + 350 = 0. What is the remainder when z is divided by (-6)/((-3)/27*3)?
16
Let c(m) = -2*m + 11. What is the remainder when c(-8) is divided by 15*(-1 - 2*-1)?
12
Suppose 0 = -5*w + 2*d + 1, 4*d = -3*w - w + 12. What is the remainder when 10/4 - 1/2 is divided by w?
0
Suppose 4*v + 5 + 39 = -4*r, r - 1 = v. What is the remainder when 64 is divided by 3*(-46)/v + -1?
20
Let s = -2 - 0. Let f = 2 + s. Calculate the remainder when -1 + 2 + 10 + f is divided by 4.
3
Suppose -11 = -3*w + 55. Suppose 0 = -5*a - 6 + 1, 3*f - 2*a = 125. Calculate the remainder when f is divided by w.
19
Let t = 8 + -5. Suppose 0 = 2*y - 2, -2*p = t*p - 2*y - 63. Calculate the remainder when (2 - 2) + p/1 is divided by 5.
3
Calculate the remainder when 1384/12 + 16/24 is divided by 39.
38
Suppose -n = -3*n + 68. Let m = n - 21. Calculate the remainder when m is divided by 7.
6
Let u = 17 + -12. Suppose -5*m - u = -0. What is the remainder when (3 - (1 + m)) + 30 is divided by 9?
6
Let q = 124 - 82. What is the remainder when 165 is divided by q?
39
Let m be 1/(-4) - 26/(-8). Suppose -5*r = -m*h + 28, -r - 54 = -4*h - h. Suppose 0 = 3*k - 88 + 25. Calculate the remainder when k is divided by h.
10
Let w(t) = 8*t**3 - t**2 + 2*t - 2. Suppose 4*a - 3 = 5. Calculate the remainder when w(a) is divided by 21.
20
Let w = -32 + 41. Calculate the remainder when (-3 - -1) + (-1 - -18) is divided by w.
6
Let a(s) = 14*s + 1. Suppose z = -h - 2*z + 14, 3*h + 4*z = 32. Let c = h + 2. Calculate the remainder when a(2) is divided by c.
9
Let r(t) = -t + 1. Let i = 13 - 11. Suppose i*w - b = 18, -2*b + 19 = -3*w + 4*w. What is the remainder when w is divided by r(-5)?
5
Let u = 10 - 10. Suppose 5*b - 4*b - 17 = u. What is the remainder when 67 is divided by b?
16
Suppose 4*b - 38 = -0*b + 3*w, 0 = 4*b - 5*w - 34. Let c = b + -7. Calculate the remainder when 11 is divided by (-2)/c + (-9)/(-2).
3
Let l(m) = m**3 + 6*m**2 + 4*m - 2. Suppose 5*r = -12 + 32. What is the remainder when r is divided by l(-5)?
1
Suppose -28 = -y - 3*p, 2*y = 4*y - 2*p - 16. Suppose -4*g = g - 125. What is the remainder when g is divided by y?
12
Let p(c) = 6*c + 8. Let a(j) = 4*j + 5. Let n(m) = 8*a(m) - 5*p(m). Let g(i) = i**2 + 8*i + 4. What is the remainder when g(-8) is divided by n(1)?
0
Let i be 0 - -1 - 1*3. Calculate the remainder when -1 + (-44)/(-3 + 2) is divided by (i - -5 - 2) + 14.
13
Suppose 0*i - 16 = i. Let h = i - -31. What is the remainder when h is divided by 9?
6
Suppose -4*o - p = -9 + 1, -4*p = -4*o + 8. Let z(w) = -w**3 + w + 4. What is the remainder when z(0) is divided by o?
0
Let r = 3 + 4. Calculate the remainder when 48 is divided by r.
6
Let n = -61 + 67. Suppose -4*u = -4, -5*c + 4*u + 78 = 2*u. Calculate the remainder when c is divided by n.
4
Let w(q) = 2*q**2 - 3*q - 4. Let j be w(4). Let a = 23 - j. Calculate the remainder when 26 is divided by a.
5
Let g = -91 + 116. What is the remainder when g is divided by 8?
1
What is the remainder when 7 is divided by (-90)/(-24)*(-8)/(-18)*3?
2
Let n(g) = 5*g - 8. What is the remainder when n(10) is divided by 11?
9
Let x(s) = s**3 - 9*s**2 + 7*s + 8. Let b be x(8). Suppose 8 = 4*d + 2*c, 3*c = -0*c. Suppose d*a - 11 - 1 = b. Calculate the remainder when 17 is divided by a.
5
Let s(t) = 3*t + 10. Calculate the remainder when s(9) is divided by (-1)/((-20)/(-8))*-25.
7
Let c be (12/(-14))/((-3)/(-21)). Let w be 0 - (c + (-2)/(-2)). Suppose -2*d - 5*g + 17 = -d, -24 = -2*d - w*g. Calculate the remainder when 20 is divided by d.
6
Let r(f) = f**2 - 5*f + 5. Let z be r(4). Let h = 2 + z. Calculate the remainder when 28 is divided by 13 + 1 + -7 + h.
8
Let y(x) = -17*x + 1. Let d = 71 + -35. Suppose -4 = -4*v + d. Calculate the remainder when y(-1) is divided by v.
8
Suppose 3*o + 6*j - 91 = j, 5*o - 135 = -5*j. What is the remainder when o is divided by 8?
6
Let f = -40 - -80. Let y = f + -29. What is the remainder when 42 is divided by y?
9
Suppose -3*f + 21 + 6 = 0. What is the remainder when 21 is divided by f?
3
Suppose 2*p + p = 9. Suppose -5*y = 0, -p*f - y - 3*y = -27. What is the remainder when 26 is divided by f?
8
Suppose 18 = 4*t + u + 2*u, -5*t - 5*u = -25. Suppose t - 6 = 3*i. Let f = 11 + i. Calculate the remainder when 19 is divided by f.
9
Calculate the remainder when (-23)/3*(-3 - 3) is divided by 16.
14
Let a be (3 - 3) + (-6)/(-1). Let b(t) = -a*t + t**3 + 0*t**3 - 3*t**2 + 0 - 7. Calculate the remainder when 24 is divided by b(5).
11
Suppose 3*f + f + 4*u - 600 = 0, 0 = 5*f - 2*u - 736. Suppose -3*q - 93 = -3*x, -4*x = -5*q - f + 20. Calculate the remainder when x is divided by 6.
3
Suppose -60 = -3*r + 30. Suppose -24 = 8*g - 11*g. What is the remainder when r is divided by g?
6
Let f be 2/(-7) + (-180)/(-42). Suppose 3*w - 33 = -f*d + 2*d, 4*d - 2*w = 42. Let z(v) = -v**2 + 11*v - 5. What is the remainder when z(7) is divided by d?
11
Suppose -2*d + 72 = 2*d. What is the remainder when d is divided by 4?
2
Suppose 30 = 5*t - 5*i - 40, -5*t + 2*i + 73 = 0. Calculate the remainder when 4*((-29)/(-2))/1 is divided by t.
13
Let d(z) = -z**3 + 3*z**2 - 3*z + 3. Let u be d(4). Let t = 35 + u. What is the remainder when 18 is divided by t?
8
Suppose 42 = -5*n + 107. Suppose x = 4*h - n, 7*x - 3*x - 2*h = 18. Suppose 27 + 33 = 5*d. What is the remainder when d is divided by x?
5
Let x(j) = j**3 + 12*j**2 + 7*j - 9. Let d be x(-11). Let b = -16 + d. Calculate the remainder when 35 is divided by b.
16
Suppose 0 = -6*v + v + 20. What is the remainder when v is divided by 3?
1
Suppose 0 = -r - 4*r + 15. Suppose -m - r*i + 23 = 0, 7*i - 2*i = -2*m + 42. Calculate the remainder when 30 is divided by m.
8
Let w = -45 + 70. Let b = w - 18. Calculate the remainder when (1/3 + 0)*39 is divided by b.
6
Suppose 3*z - 19*w + 23*w = 40, 2*z = 4*w. What is the remainder when (-158)/(-8) + (-2)/(-8) is divided by z?
4
Suppose 0 = 3*g - 1 + 16. Let v(x) = x**3 - x - 11. Let s be v(0). Let h = g - s. Calculate the remainder when 22 is divided by h.
4
Calculate the remainder when ((-69)/4)/((-8)/32) is divided by 24.
21
Let w = 9 - 1. What is the remainder when 23 is divided by w?
7
Let c be -5*3*4/(-30). Suppose 2*k - 3*k = 3*d - 52, -10 = c*k. Let g(q) = 7*q**2 - 5*q + 7. What is the remainder when g(3) is divided by d?
17
Suppose 3*h - 23 = -4*g, g + h = 2*g + 3. Let z = 13 - 7. Suppose -16 = -g*j - d, -34 = -5*j + 2*d + z. Calculate the remainder when 23 is divided by j.
7
Suppose -u + 3*i + 32 = 0, -5*u - i + 0*i + 240 = 0. Let t = u - 2. What is the remainder when t is divided by 24?
21
Let b = 1 + 1. Suppose 3*n + 3*m + 33 = 6*n, 15 = b*n + 5*m. Calculate the remainder when 28 is divided by n.
8
Suppose -5*o - 75 = 10. Let i = -91 - -144. Let z = i + o. What is the remainder when z is divided by 19?
17
Let b(n) = -4*n - 3. What is the remainder when 24 is divided by b(-4)?
11
Suppose 612 = 12*u + 5*u. What is the remainder when 176 is divided by u?
32
Suppose -3*z + 2*z - 45 = -4*j, 5*j - z = 55. Let o(n) = n**2 + 3*n - 5. Let r be o(-7). Calculate the remainder when (-1 + r - 2) + -2 is divided by j.
8
Suppose -10 + 0 = -3*j + 4*c, -2 = -j + 2*c. Suppose 43 = j*t - 29. Calculate the remainder when 45 is divided by t.
9
Suppose 24*b = 22*b + 50. What is the remainder when 99 is divided by b?
24
Let h = -126 + 144. What is the remainder when 69 is divided by h?
15
Let z(o) = o - 7. Let g be z(11). Suppose -u = -g + 1. Calculate the remainder when u is divided by 2.
1
Let m(z) = -z**2 - z + 1. Let n be m(-3). Let l be -1 + 0 + (-2 - 5). Let b = n - l. What is the remainder when 5 is divided by b?
2
Suppose 5*o + n - 27 = 2*o, 0 = -o - 3*n + 17. Let f(t) = -t**2 - 6*t + 3. Let d(g) = -g - 1. Let l be d(5). What is the remainder when o is divided by f(l)?
2
Suppose 4*f = -3*s + 346, -3*f - 322 = -3*s - f. Suppose -l 