, -n - 5*f + 5 = -7. Calculate the remainder when 20 is divided by n.
6
Suppose 3*j - 51 = -0*j + 4*p, -51 = -3*j + 2*p. Let s = 0 + 32. What is the remainder when s is divided by j?
15
Let a = 15 - -11. Suppose 6*c = 9*c. Suppose 0 = -c*g + 2*g + 2*z - 12, g + 4*z + 3 = 0. What is the remainder when a is divided by g?
8
Suppose -f - 8 = -g + 6, 2*g - 4*f = 32. Suppose 0 = -2*d - 2, 4*v - 97 = 2*d + 3*d. Calculate the remainder when v is divided by g.
11
Let k = -233 - -52. Let z = k - -124. Let d = 83 + z. Calculate the remainder when d is divided by 14.
12
Let v be 1 - 0 - (5 - 31). Suppose 0 = 3*j - 3*c - v, 0 = j - 5*j - 5*c. Calculate the remainder when 8 is divided by j.
3
Let l(s) = -s + 1. Suppose 4*h + 8 + 4 = 2*o, -4*h + o - 16 = 0. Calculate the remainder when ((-2)/3)/(1/(-24)) is divided by l(h).
4
Suppose -2*k + 25 = 3*k. Calculate the remainder when 18 is divided by k.
3
Let x(h) = 6*h**2 + 1. Let t = 3 + -6. Let c = 9 - t. Calculate the remainder when c is divided by x(1).
5
Let n be 15 - ((-3 - -2) + 1). Suppose 16 = 3*b + r, -2*b + 4*r = -19 - n. Calculate the remainder when b is divided by 38/14 - 2/(-7).
1
Suppose -c + 2*c - 36 = 0. What is the remainder when c is divided by 8?
4
Let t = 27 - -2. What is the remainder when 84 is divided by t?
26
Let z(t) = -2 + t**2 - 3*t**2 + 2*t**2 + t**2 + 6*t. Calculate the remainder when z(6) is divided by 24.
22
Let l = 28 + -18. Suppose 3*r - 20 = 10. Calculate the remainder when (36/r)/((-3)/(-15)) is divided by l.
8
Let n(r) = r**3 - r**2 - r - 4. Suppose 3*c + c = 0. Let q be n(c). Let x = 9 + q. Calculate the remainder when x is divided by 2.
1
What is the remainder when 24/(3 - 9/4) is divided by 11?
10
Let r = 8 + -3. Suppose -16 = -3*p + p + 4*k, 3*k + 19 = 2*p. Calculate the remainder when p is divided by r.
4
Suppose 3*u - 5*b - 80 = 0, 5*u - 7*b + 2*b - 130 = 0. What is the remainder when u is divided by 15?
10
Let z(a) = 3*a + 33. What is the remainder when z(8) is divided by 10?
7
Let r(s) = -s**2 - 3*s + 5. Let o be r(-4). Let v be o/(-3) - 428/12. Calculate the remainder when (-6)/v - 233/(-6) is divided by 14.
11
What is the remainder when 1368/(-12)*(-1)/3 is divided by 20?
18
Let r(u) = 24*u - 3. What is the remainder when r(1) is divided by 12?
9
Let f = -332 + 340. Let u = -7 - -10. What is the remainder when f is divided by u?
2
Let j be (-46)/(1 - (-6)/(-3)). Let v = j - 23. What is the remainder when v is divided by 9?
5
Let c(u) = -6*u - 6. Suppose -6*g + 4 = -7*g. Calculate the remainder when c(g) is divided by 7.
4
Let j(k) be the second derivative of k**5/10 - k**4/3 - k**3/6 + k**2 - 3*k. Calculate the remainder when j(3) is divided by 9.
8
Let z(q) = q**2 - 3*q + 7. Calculate the remainder when z(8) is divided by 12.
11
Suppose 223 - 649 = -6*w. Calculate the remainder when w is divided by 37.
34
Let s = -9 + 11. Suppose s*x - 4*l + 1 + 1 = 0, -2*x - 3*l + 19 = 0. What is the remainder when x is divided by ((-8)/(-10))/((-4)/(-10))?
1
Suppose j - 44 = 4*m, 3*m = -4*j - m + 76. Let d = -19 - -6. Let q = d + j. What is the remainder when 31 is divided by q?
9
Let u(w) = -w**3 + 8*w**2 - 10*w + 7. Let i be u(6). Suppose 3*a - 23 = i. Calculate the remainder when 2/7 - (-94)/a is divided by 4.
3
Let h = -4 + 2. Let l(q) = -36*q - 2. What is the remainder when l(h) is divided by 12?
10
Suppose 3*m - 20 - 40 = 0. Suppose -4*o = -3*l - 61 - 70, -o + 5*l + m = 0. Suppose -2*y + 96 = 6*y. What is the remainder when o is divided by y?
11
Suppose 0 = -2*v + 3*v - 2. Suppose v*p - 3 = -p. Calculate the remainder when 2 is divided by p.
0
Suppose d = 3*d - 16. Let z(g) = -d*g - 10*g - 1 + 5*g. Calculate the remainder when 22 is divided by z(-1).
10
Let w(c) = 4*c + 3. What is the remainder when w(4) is divided by 10?
9
Let s = -6 - -9. Suppose s*n - 5*p + 4 = 2*n, 3*n - 5*p = 18. What is the remainder when 31 is divided by n?
9
Suppose 3*w - 10 = -3*i - 1, 0 = -4*w + 4. Suppose 2*y - 2*d + 1 = 3*y, i*y + 13 = -d. Calculate the remainder when 6/y*(-21)/2 is divided by 5.
2
Let j be -3 - ((3 - 1) + -249). Suppose -9*p = -5*p - j. Calculate the remainder when p is divided by 16.
13
Let j = 4 - 7. Let d(g) = -6*g - 7. Calculate the remainder when 43 + (-2)/2*0 is divided by d(j).
10
Let u(l) = -l - 1. Let x be u(-4). Calculate the remainder when (50/7)/(x/21) is divided by 13.
11
Let o(u) = 6*u**2 + 2*u + 1. Suppose -3*t + 9 = 3. Suppose -2*a - t = -0*a. Calculate the remainder when 8 is divided by o(a).
3
Let p be 1/(1 - 8/10). Suppose 5*z - 133 = -c, 7*z - 125 = 2*z - p*c. Calculate the remainder when z is divided by 14.
13
Suppose 4*x = 2*a + 12, 2*x + 2*x + 2*a - 4 = 0. Let s = x - 0. Suppose b = s*b - 6. Calculate the remainder when 11 is divided by b.
5
Let w(h) = h**3 + 11*h**2 + 9*h + 11. Suppose 5*c + 3*i = -0*i - 35, 5*c = -2*i - 40. What is the remainder when 60 is divided by w(c)?
18
Calculate the remainder when (96/10)/((-44)/(-20) - 2) is divided by 13.
9
Let y = -78 + 127. Let r = 110 - 84. What is the remainder when y is divided by r?
23
Calculate the remainder when 3*(6 + (-888)/(-18)) is divided by 42.
40
Suppose -f = -31 - 4. Let u(i) be the third derivative of -i**5/60 - i**4/3 - 3*i**2. What is the remainder when f is divided by u(-6)?
11
Suppose -4*b + 0*b + 8 = 0. Suppose 58 = 2*o - 4*q, b*o - q - 46 - 18 = 0. Let c(x) = x**3 + x**2 + 2*x + 1. What is the remainder when o is divided by c(2)?
16
Let d = 1 - -20. Let f = 335 + -24. Suppose -3*q + f = 5*a - 4*q, -a = 4*q - 58. What is the remainder when a is divided by d?
20
Suppose 7*j + 10 = 6*j. Calculate the remainder when 12/20 + (-764)/j is divided by 26.
25
Let w = -17 - -42. Suppose w = 2*y + o, 6*y - y - 55 = -5*o. Let a = -6 + 14. Calculate the remainder when y is divided by a.
6
Let m(u) = -u**3 - 5*u**2 - 2*u - 7. Let b be m(-5). Suppose 5*r + b*k - 189 = 0, -4*r + 102 = -4*k - 30. Calculate the remainder when r is divided by 13.
10
Let u be ((-5)/20 - -1)*112. Suppose 0 = 5*c - 4*s - u, 0 = c + 3*s - 4 - 9. What is the remainder when (-136)/(-3) - 2/(-3) is divided by c?
14
Suppose o = 5*o - 28. Let v = o - 6. Let c = v + 9. Calculate the remainder when 39 is divided by c.
9
Suppose 3*a - 2 = 13. What is the remainder when 21 is divided by a?
1
Suppose 5*b + c - 5*c = 407, -3*b + 240 = -c. What is the remainder when b is divided by 20?
19
Suppose -5*t + 4 = -4*t - 3*x, t - 4*x - 3 = 0. What is the remainder when 20 is divided by t?
6
Let x = 18 - 6. Suppose 5*u - x = u. Suppose u*g - 219 = -2*k - 2*k, 5*g + k - 365 = 0. What is the remainder when g is divided by 25?
23
Suppose 3*j + 6 = 6*j. Suppose -j*m = 6*y - 2*y - 20, 2*m = 4*y + 44. What is the remainder when 29 is divided by m?
13
Calculate the remainder when 39 is divided by -3*(-1 + 7/(-3)).
9
What is the remainder when 6 is divided by 9 + 0 + 4/(-1)?
1
Let p = -17 + 23. What is the remainder when 17 is divided by p?
5
Let r = 8 - 2. Calculate the remainder when r is divided by 4.
2
Let n be 3*((-4)/(-4))/(-1). Calculate the remainder when 3/(-18)*46*n is divided by 8.
7
Suppose -2*s + 518 + 118 = 0. Calculate the remainder when 1/(-7) - s/(-21) is divided by 9.
6
What is the remainder when 23*(4 - 3 - 0) is divided by 12?
11
Suppose 0 = -y - 14 + 116. Suppose -4*o - 2*i = -176, 0 = 5*o - 5*i - y - 88. Calculate the remainder when o is divided by ((-3)/6)/((-2)/60).
12
Suppose -2*c + c + 18 = 0. What is the remainder when 34 is divided by c?
16
Let d(m) = m**3 - 2*m**2 - 4*m + 1. Let h be d(3). Let t = -6 - -9. What is the remainder when t is divided by 12/2*h/(-6)?
1
Let m(b) = -b**3 - 10*b**2 + 11*b + 11. Let a be 22/4*(-2 - 0). What is the remainder when 21 is divided by m(a)?
10
Let x be (1 - 3)*(-2 + 1). Let p(m) = -m - 3*m + 3*m**x + 0*m**2 + 2. What is the remainder when p(3) is divided by 6?
5
Let u = 64 + -4. Suppose 6*q = -0*q + 126. What is the remainder when u is divided by q?
18
Suppose 4*u + 4 = 28. Suppose -21 = -u*a + 3*a. What is the remainder when a is divided by 5?
2
Suppose 6 + 2 = -2*y. Let p(g) = 8*g + 1. Let t(a) = -a. Let l(o) = -2*p(o) - 6*t(o). What is the remainder when l(y) is divided by 10?
8
Let s(c) = -c**3 + 4*c**2 - 8*c + 6. Suppose 3*z = 8*z - 25. Let f be s(z). Let g = f - -95. Calculate the r