Suppose -7*f = 3*b - 2*f - s, -3*b = -2*f - 73. Calculate the remainder when b is divided by -4 - 35/(-14) - (-27)/2.
11
Let s be (7 + -10)/(0 - (-3)/(-29)). Let l = -8 - 0. Let v = s + l. What is the remainder when 40 is divided by v?
19
Let p = 137 - 130. Let g = 0 + 0. Suppose -u - u + 8 = g. What is the remainder when p is divided by u?
3
Let t = 10 - 6. Suppose l + l + t*f = 54, -52 = -2*l - 3*f. Calculate the remainder when l is divided by (-24)/10*1*-5.
11
Let b = 98 - 68. What is the remainder when 58 is divided by b?
28
Suppose 3*p = 3*a - 21, 2*p - 9 - 1 = 0. Suppose -5*c + 42 = -3*c. Calculate the remainder when c is divided by a.
9
Suppose 27 = f + 4*j, 3*j + 135 = 2*f + 3*f. Calculate the remainder when f is divided by -2 + (5 - (-16)/4).
6
Suppose f - 2*b - 18 = 0, 74 + 42 = 5*f + 3*b. Let u = -12 + f. Suppose 0 = 5*o + 10, -a = 4*a - o - 32. Calculate the remainder when u is divided by a.
4
Suppose 4*b + 3 = -33. Let x(i) = -i**3 - 8*i**2 + 10*i + 12. Calculate the remainder when 7 is divided by x(b).
1
Let l = -16 + 3. Let v(m) = m**2 + 10*m - 5. Let x(n) = -6*n. Calculate the remainder when v(l) is divided by x(-2).
10
Let u = 1 + 29. Suppose -c + u = -h - h, 3*c = 4*h + 86. What is the remainder when c is divided by 9?
8
Let x = 110 - 86. Calculate the remainder when x is divided by 9.
6
Let d(c) be the third derivative of c**5/30 + c**4/8 - 7*c**3/6 + 4*c**2. Calculate the remainder when d(5) is divided by 12.
10
Calculate the remainder when 14 is divided by -2*(-2)/(-6) + 234/27.
6
Suppose -4*j + 48 = 2*j. Let o = j + 6. What is the remainder when -28*2/(-2) - 1 is divided by o?
13
Let m(w) = 2*w - 8. Let r be m(10). Let o = 14 - r. What is the remainder when o is divided by 1?
0
Let c(r) = 32*r - 1. Suppose -102 - 28 = 5*n. Let i = n - -37. Calculate the remainder when c(1) is divided by i.
9
Suppose -3*b + 7 + 182 = 0. Suppose 3*p - 29 = p - 5*r, -3*p - r = -b. Calculate the remainder when -28*1/((-4)/6) is divided by p.
20
Let u(r) = r**3 + 5*r**2 + 1. Let z = -6 + 2. Let m be u(z). Suppose 22 = 3*a + 3*d - 5, -5*a + 2*d + m = 0. What is the remainder when 12 is divided by a?
2
Suppose 0 = -n - 4 - 0, 3*n = 4*g - 12. Suppose 4*s = 10 - 2. Calculate the remainder when 37 is divided by (2 - g)/(s/10).
7
Let z(u) = u**3 - 7*u**2 - 6*u - 7. Suppose 3*x + 3*l = 27, 0 = 5*x + 4*l - 3 - 41. Calculate the remainder when 34 is divided by z(x).
7
Let p(f) = -f**3 - 7*f**2 - 2*f + 1. Let a(g) be the second derivative of 7*g**4/2 + g**3/6 - 2*g. What is the remainder when a(1) is divided by p(-7)?
13
Let n(m) = -3*m - 1. Let u be n(-10). Suppose 4*x - 2*w + 3 = u, -5 = -x + w. What is the remainder when 22 is divided by x?
6
Let w(f) = -f + 10. Suppose 5*b - 60 = 2*b. Calculate the remainder when b is divided by w(3).
6
Let h(i) = -i**2 - 3*i - 1. Suppose -o + 0 = 3. Let m be h(o). What is the remainder when 43 is divided by (15/(-6))/m*6?
13
Let l be (0 + 2)*15/2. Suppose 0*s + 48 = 5*s - g, -5*g = l. What is the remainder when s is divided by 4?
1
Let m(a) = -a**3 + 12*a**2 + 2*a - 4. What is the remainder when 8*7 - (-2 - 0) is divided by m(12)?
18
Suppose 3*b = 2*k - 10, 5*b + 2*k = -0*k + 10. Suppose b = 2*x + 3*u - 35 - 32, -3*u = -4*x + 161. What is the remainder when x is divided by 20?
18
Suppose 2*q = 5*t + 25, 4*q + t + 29 = 6*q. What is the remainder when 43 is divided by q?
13
Let m = -9 + 19. Suppose -a + m = -41. What is the remainder when a is divided by 18?
15
Let i be (-13)/26 + 2/4. Suppose i = -3*l + 7*l - 16. Calculate the remainder when 5 is divided by l.
1
Let c = -4 + 2. Let t be (1 + c)*(-2 - -2). Suppose t*n + 2*q = -3*n - 7, q = 4*n - 9. Calculate the remainder when 1 is divided by n.
0
Let v = 10 - 6. Suppose -4*g + 176 = -v*n, 62 = -5*g + n + 294. What is the remainder when g is divided by 12?
11
Suppose t - s = 3, -4*t = -3*s - 7 - 0. Let d be -1 - (0 - t) - -2. Calculate the remainder when 4/(4 + (-3 - d)) is divided by 2.
0
Suppose -70 = -4*f - f. Suppose 9 = 3*n + g - 4, 1 = n - 3*g. Suppose n*o - 8 = 3*o. What is the remainder when f is divided by o?
6
Let g(r) = r + 1. Let l(w) = 3. Let c(k) = 2*g(k) + l(k). What is the remainder when 73 is divided by c(7)?
16
Suppose 5*v - 57 = -b + 4*b, v = -2*b + 14. Suppose -p = -3*i + 49, 2*p - v = 5*p. Calculate the remainder when i is divided by 8.
7
What is the remainder when 54 is divided by (-405)/(-20) + (-1)/(-4)*-1?
14
Let h be 1/((-1)/5) + -1. Let c(k) = k + 9. What is the remainder when 2/4*4 + 6 is divided by c(h)?
2
Let g(z) = z + 4. Suppose 0 = -2*a - 4 - 2. What is the remainder when g(a) is divided by 1?
0
What is the remainder when 21 is divided by (-72)/18 + 1 + 14?
10
Let p(f) = f**2 + 8*f - 14. Calculate the remainder when 45 is divided by p(-10).
3
Suppose 22 = 3*p + p - 5*z, 0 = -5*p - 5*z + 50. Let i(v) be the third derivative of v**4/24 - v**3/6 + v**2. Calculate the remainder when p is divided by i(6).
3
Suppose -2*u = -k + 5 - 1, -3*k + 12 = 4*u. Suppose -100 = -5*a + 5*h, k*a - 3*h + 2 = 78. Calculate the remainder when 31 is divided by a.
15
Let y = -10 + 93. Calculate the remainder when y is divided by 21.
20
Suppose -5*j = 4*m - 117, 2*j + 5*m = 7*m + 36. Suppose -3*a = -2*i - 68, 3*a + 4*i - j = 23. Calculate the remainder when a is divided by 11.
9
Let w = 60 - 28. Suppose -2*m - 5*z - 5 = -22, 3*m + z = 32. Calculate the remainder when w is divided by m.
10
Suppose -2*h + 4 = -4. What is the remainder when h is divided by 3?
1
Suppose 0 = 3*y - 3 - 21. What is the remainder when 21 is divided by y?
5
Let h be 106/4 + (-4)/(-8). Suppose 2*p + 5 - h = 0. Let w = 52 - 31. Calculate the remainder when w is divided by p.
10
Let s = 163 - 88. Calculate the remainder when s is divided by 31.
13
Suppose -6*p - 141 + 393 = 0. Suppose 3*i - f - 2*f = 45, -p = -2*i + 5*f. Calculate the remainder when 42 is divided by i.
9
Let f(z) = 10*z - 5. Suppose t - 2*k + 2 = 0, 1 + 15 = 4*t + 4*k. Suppose -17 = -3*n + 64. What is the remainder when n is divided by f(t)?
12
Suppose -7*l + 2*l - 15 = 0, l = -3*g + 6. What is the remainder when 11 is divided by g?
2
Let n(z) = -z**2 - 5*z - 3. Let x be n(-3). Suppose f - 9 = -4*f - 3*y, -5*f + x*y = -21. Let v = -4 + 12. Calculate the remainder when v is divided by f.
2
Suppose 4*n - 3*m - 104 = 0, 0*m + 91 = 3*n + m. Calculate the remainder when n is divided by 15.
14
Let v(i) = i**2 - 1. Let n be v(3). Let w = 12 - n. Let r(y) = y**2 + 8*y + 17. Calculate the remainder when r(-7) is divided by w.
2
Let a(j) be the third derivative of j**5/60 - j**4/6 + j**3/6 + 2*j**2. Let y(m) = m + 4. Calculate the remainder when a(5) is divided by y(0).
2
Let h = 0 - -16. What is the remainder when h is divided by 9?
7
Let v(o) = o**3 - 2*o**2 - o - 2. Let w be v(3). Suppose w*f - 65 = -1. What is the remainder when f is divided by 6?
4
Let b = -12 + 19. What is the remainder when 19 is divided by b?
5
Suppose 5*b - 4 = 46. What is the remainder when b is divided by 6?
4
Let c = -39 + 76. Suppose 80 = 3*s + 2*f, -3*s + 118 = 3*f + c. Calculate the remainder when s is divided by 14.
12
Suppose 0 - 10 = -5*r. Suppose -3*y + 15 = r*y. What is the remainder when y is divided by 20/15 + 4/6?
1
Let l(j) = 55*j - 1. Let r(i) = -i**3 - i**2 + i + 19. What is the remainder when l(1) is divided by r(0)?
16
Let a = 95 - 67. What is the remainder when a is divided by 15?
13
Let u be (-20)/50 - 17/(-5). Suppose 5*g + 15 = 0, u*g + 6 = 2*w - 17. Let i(s) = s - 1. Calculate the remainder when w is divided by i(4).
1
Let t(x) = 2*x - 21. Let c be t(12). Suppose -o + c = -4. What is the remainder when 13 is divided by o?
6
Suppose -2*f = 5*u + 2 - 69, 0 = -3*f - 2*u + 95. Suppose 2*d = -5*l + 10, 3*d = -4*l + 6*d + f. What is the remainder when 10 is divided by l?
2
Let g be -1*(-3 - (1 - 0)). Suppose g*m - 15 = m. Suppose m*n + 1 = 26. Calculate the remainder when 9 is divided by n.
4
Let d(m) = 2*m**3 + 2*m**2 - 2*m + 8. Let u(g) = 3*g**3 + 5*g**2 - 3*g + 16. Let l(a) = 5*d(a) - 3*u(a). Calculate the remainder when 43 is divided by l(6).
21
Suppose -4*b = -3*a - 6, -2*a - 4 = 2*b - 0*a. Suppose b = 4*v - 0*v - 100. What is the remainder when v is divided by 7?
4
Let c(k) = -k**3 - 9*k**2 - 6*k. Let a be c(-4). Let n = 114 + 