3*y - 15, -5*y = r + 12. Calculate the remainder when ((-2)/r)/(4/(-30)) is divided by 4.
1
Let b(a) = a**2 + 5*a - 6. Let u be b(-5). Let x = u + 8. Suppose -x*s = 3*s - 110. What is the remainder when 65 is divided by s?
21
Suppose 12*v - 14*v + 16 = 0. Calculate the remainder when 14 is divided by v.
6
Let j = 61 + -50. Let m = 32 - -9. Calculate the remainder when m is divided by j.
8
Let u = 11 - 16. Let d be ((-4)/u)/((-4)/(-10)). Suppose -a + d*a = 7. What is the remainder when 20 is divided by a?
6
Let m = 1 - 3. Calculate the remainder when 36*(-1 - 0 - m) is divided by 13.
10
Suppose 14*s - 696 = 11*s. What is the remainder when s is divided by 39?
37
Let t(p) = p**2 + 2*p - 9. Let y(m) = -m**2 - m + 10. Let z(u) = 3*t(u) + 2*y(u). What is the remainder when z(5) is divided by 13?
12
Suppose -5*w = -d - 33, -3*w + d = -4 - 17. Calculate the remainder when w is divided by 2.
0
Suppose -t + 18 = -4. Calculate the remainder when 109 is divided by t.
21
Suppose -g - 5*b + 3 = 0, -11 = 5*b - 1. What is the remainder when 47 is divided by g?
8
Let i = -11 - -6. Let w = 79 + i. Calculate the remainder when 35 is divided by 7/14 + w/4.
16
What is the remainder when 90 is divided by (-28)/(-3 - 4) + 19 + 0?
21
Let t(a) = -a**2 - 6*a - 1. Let f be t(-5). Let r(q) = 16*q**2 + q - 1. Let v be r(1). Let l = f + v. What is the remainder when l is divided by 11?
9
Let s(x) = -7*x + 1. Suppose 4*n = j + 77, 2*n + 2*j = j + 43. Suppose -5*f + n = -3*f. What is the remainder when s(-4) is divided by f?
9
Suppose 2*r - 84 = -5*l + 27, -4*l - r = -87. What is the remainder when l is divided by 2/4 - (-45)/6?
5
Suppose 13*h - 16 = 11*h. Calculate the remainder when h is divided by 7.
1
Let t(r) = -r + 8. Let q(g) = g**2 + 5*g - 3. Let v be q(-4). What is the remainder when 58 is divided by t(v)?
13
Suppose -2*m + 6 = 5*k - 8, -5*k + 5*m = -35. Suppose i - k*i - 58 = -4*u, 44 = 4*u + 4*i. Calculate the remainder when ((-80)/15)/((-1)/9) is divided by u.
9
Suppose k - 4*m + 2*m = 18, 2*k = -4*m + 28. Let b(i) = i**3 - 7*i**2 - 2*i + 10. Let l be b(7). Let x = l + k. What is the remainder when 22 is divided by x?
10
What is the remainder when 2 + 6 + (-1 - -10) is divided by 5?
2
Suppose 5*v - 50 = 5*q, 0 = v - 2*q + 4*q - 13. Let g be (-2)/4 - 916/(-8). Calculate the remainder when g/(-4)*(-18)/27 is divided by v.
8
Suppose 4*n - 31 = 25. Let w be -4 + 3 - (1 + 21). Calculate the remainder when n is divided by 4/2 - (w - -17).
6
Suppose -4*i + 0*g - 3*g = -8, -31 = -3*i + 4*g. Calculate the remainder when 8 is divided by i.
3
Suppose 3*y + 2*l - 24 - 1 = 0, 5*y + 3*l - 43 = 0. What is the remainder when (-1*(-40)/(-2))/(-1) is divided by y?
9
Suppose 0 = -33*f + 18*f + 105. Let q = -42 + 62. What is the remainder when q is divided by f?
6
Let s = 1 + 46. What is the remainder when s is divided by 19?
9
Suppose 2*v + 2 = 0, v - 225 = -4*j - 86. What is the remainder when j is divided by 12?
11
Suppose 3*n + a + 560 = 2*n, 0 = -n + 3*a - 576. What is the remainder when (-2)/5 - n/10 is divided by 19?
18
Let v(w) = 10*w - 1. What is the remainder when 33 is divided by v(1)?
6
Let x(c) be the first derivative of c**3/3 - 3*c**2/2 - 3*c - 2. Suppose -5*q = -64 - 1. Calculate the remainder when q is divided by x(-2).
6
What is the remainder when 9 is divided by ((-4)/(-18))/(2/18*1)?
1
Suppose 3*n - 9 = 0, 0 = 5*t + 3*n - 2*n + 52. Let z = t + 15. Calculate the remainder when (4/(-3))/(z/(-108)) is divided by 19.
17
Let d be (5/(-5))/(2/(-4)). Suppose 3*g = -3*k + d*g + 79, -4*g = 2*k - 66. Calculate the remainder when k is divided by 13.
12
Suppose -2 = 2*q, p + 2*q = 2*p - 22. Calculate the remainder when 78 is divided by p.
18
Calculate the remainder when 146 is divided by 1/((16 + -18)*2/(-196)).
48
Suppose 0*r = -5*r + 45. What is the remainder when 17 is divided by r?
8
Suppose 5*n + 4*t = 65, -2*n + 44 = -0*n - 2*t. What is the remainder when 32 is divided by n?
15
Let k = 56 + -25. Calculate the remainder when k is divided by 16.
15
Suppose 0 = 17*w - 23*w + 66. What is the remainder when 28 is divided by w?
6
Suppose -z = 2*z - 6. What is the remainder when (5/3)/((-2)/(-6)) is divided by (1 - (-3)/6)*z?
2
Let l(d) = -5*d**3 - 2*d**2 + 4*d + 4. What is the remainder when l(-2) is divided by 5?
3
Suppose 0 = -2*b + 4*b - 40. What is the remainder when 35 is divided by b?
15
Suppose -6*w + 60 = -3*w. What is the remainder when w is divided by 13?
7
Let p(o) = -5*o - 7. Let u be p(-5). Let n be (-6)/27 - (-1688)/(-18). What is the remainder when 13 is divided by (-2)/9 - n/u?
3
What is the remainder when 104 is divided by 247/7 + 4*(-6)/84?
34
Let i be -2*7/((-7)/18). Calculate the remainder when 47 is divided by i/2 - 0 - 2.
15
Let r = 111 + -15. Calculate the remainder when r is divided by 49.
47
Suppose -2*w + 5*w - 9 = 0. Suppose -4*l = w*t - 284, -4*t - 10 - 61 = -l. What is the remainder when l is divided by 24?
23
Suppose -2*q - 6 = 2*r, 9 + 12 = -4*r + 5*q. Let z = r + 16. Let t = z - -5. What is the remainder when 50 is divided by t?
16
Suppose 4*w = 6*w - 26. What is the remainder when 50 is divided by w?
11
Let j(a) = -a + 20. Calculate the remainder when 20 is divided by j(12).
4
Let a be 1/(-4)*-13*-4. Let z = 28 + a. Suppose -2*s + z = -s. What is the remainder when s is divided by 8?
7
Let j be 5*(36/15 - 1). Let c = j + 0. Calculate the remainder when 20 is divided by c.
6
Let t = -24 + -12. What is the remainder when 31 is divided by 438/27 + 8/t?
15
Let u(i) = i + 12. Calculate the remainder when 40 is divided by u(9).
19
Suppose 4*l - 3*n = 341, 3*l + 3*n = 5*n + 255. Calculate the remainder when l is divided by 28.
27
Let r = 6 + -1. Suppose 3*o - r = -2. Calculate the remainder when o*(7 - 0/1) is divided by 4.
3
Let c = -3 - -5. Suppose 4*p - w = 2, -3*w - 10 = -8*w. What is the remainder when c is divided by p?
0
Let k = 2 + -5. Calculate the remainder when (-4)/(-6) - (-84)/9 is divided by k*((-40)/6)/5.
2
Suppose 3*o + 31 = 4*r, -5*r - 2*o + 4*o + 44 = 0. Calculate the remainder when 29 is divided by r.
9
Let k(a) = a**3 + 5*a**2 - 6. What is the remainder when 37 is divided by k(-4)?
7
What is the remainder when ((-5)/15)/(4/(-564)) is divided by 24?
23
Suppose 0 = 4*o - 20, -2*u = -5*u + 5*o + 29. Calculate the remainder when u is divided by 5.
3
Suppose 12*v - 9*v - 36 = 0. What is the remainder when 21 is divided by v?
9
Let a(c) = -8*c - 1. Let z(b) = 44*b**2 - 2*b - 1. What is the remainder when z(-1) is divided by a(-3)?
22
Suppose 3*t - 54 = -0*t. Suppose -4*y - t = -66. Suppose -2*x = 2*x - y. What is the remainder when x is divided by 2?
1
Let d(v) = -v + 8. What is the remainder when 87 is divided by d(-14)?
21
Suppose 0 = -5*u + 3*a + 389, 0*a - 233 = -3*u + 2*a. What is the remainder when u is divided by 27?
25
Let g(n) be the second derivative of 5*n**3/6 - n**2 + n. Suppose -c + 5*t - 10 - 13 = 0, -t - 3 = -4*c. Calculate the remainder when 22 is divided by g(c).
6
Suppose -8 - 2 = -5*i. Suppose -3*p = -i*p - 2. Suppose s = -p*s + 12. What is the remainder when s is divided by 2?
0
Let j(b) = 5*b. Let p be j(6). Calculate the remainder when (-10)/((-3)/p*4) is divided by 13.
12
Let w = 260 - 183. Calculate the remainder when w is divided by 26.
25
Suppose 3*f = 10*f - 133. Let j(d) = 5*d**2 - 2*d - 3. What is the remainder when j(3) is divided by f?
17
Let p be 1*-1*(-1 - -2). Calculate the remainder when 28 is divided by p/(-8) + (-189)/(-24).
4
Let f(r) = -4*r - 5. Suppose -30 = 5*q + a, 0*q + 4*q = -4*a - 8. What is the remainder when f(q) is divided by 8?
7
Suppose -x = -l + 4, 3*l = -3*x - 0*x. Suppose -l*t = -5 + 3. What is the remainder when 54 is divided by 20 + 1 + t + -3?
16
Let o = 5 + -3. Let k be 86/7 - (-2)/(-7). Suppose -m - 2*m = -k. What is the remainder when m is divided by o?
0
Suppose 40 = 2*m - 3*n, -5*m + 4*n = -0*n - 86. Suppose -120 = -3*z + 6. Suppose 0 = 4*g + 10 - z. Calculate the remainder when m is divided by g.
6
Suppose -o - 159 = -4*l, 5*l + 89 - 299 = 5*o. Calculate the remainder when l is divided by 8.
7
What is the remainder when 4/(3 + 1)*4 is divided by 3?
1
Let b = 38 + 12. Let s = -17 - -30. What is the remainder when b is divided by s?
11
Suppose -18*k + 64 = -16*k. Calcul