 = -2*c + 4*a. Calculate the remainder when c is divided by 38.
36
Suppose 2*j = 20 + 18. What is the remainder when 75 is divided by j?
18
Let p(g) = g**3 - g + 24. Let l be p(0). What is the remainder when 45 is divided by (4/6)/(1/l)?
13
Let m be (-1 + 0)*-3 + 1. Suppose -2*r + 7*r = 4*b + 16, -m = -3*r + b. Suppose r = -q + 9 + 7. Calculate the remainder when q is divided by 6.
4
Suppose 4*w - 2*j = -5*j - 22, 5*w = 2*j - 16. Let k = 18 + w. What is the remainder when (-1468)/(-36) + 2/9 is divided by k?
13
Let d = -13 - -25. Suppose l - 118 = -l. What is the remainder when l is divided by (-1)/1 + 4 + d?
14
Suppose 5*a + c - 312 = 0, 3*a - 4*c + 194 = 6*a. What is the remainder when a is divided by 16?
14
Let w(v) = v**2 + 6*v - 4. Let f be w(-7). Suppose -f = 2*y - 15. Suppose 0 = 3*m - 6*m + 33. Calculate the remainder when m is divided by y.
5
Let a = -23 - -96. Suppose a = 2*t + 17. Suppose 3*y + 4 = j, 5*y - 50 = -3*j - j. What is the remainder when t is divided by j?
8
Suppose 3*f - 25 = 14. Calculate the remainder when 50 is divided by f.
11
Suppose -13*f = -128 - 327. What is the remainder when 136 is divided by f?
31
Let q = 55 - 24. Suppose -q + 139 = 4*f. Calculate the remainder when 80 is divided by f.
26
Let t(z) = -z**3 + 3*z + 5. What is the remainder when 43 is divided by t(-3)?
20
Let w(l) = l - 2. Let o(z) = -3*z + 7. Let j(y) = -3*o(y) - 8*w(y). Let f be j(4). What is the remainder when 4/4 - 37/f is divided by 13?
12
Suppose 3*f - 2*w = -7*w + 10, -18 = -3*f + 3*w. Calculate the remainder when 15 is divided by ((-8)/f)/((-3)/15).
7
Let z(y) = y - 10. Let n be z(7). Let p = 0 - n. Suppose -r + 4 = -p. What is the remainder when 18 is divided by r?
4
Suppose 5*l - 59 - 11 = 0. Let t = l - 10. Suppose -5*a - c + 0*c + 65 = 0, t*c - 50 = -5*a. What is the remainder when a is divided by 8?
6
Let b = 36 - 20. What is the remainder when 127 is divided by b?
15
Let p be (-4)/(-10) + (4 - 22/5). Suppose -2*m = 2*m - 16. Suppose -3*o = -p*o + 4*u + m, u + 24 = 5*o. Calculate the remainder when o is divided by 3.
1
Let z(n) = -8*n + 18. Let y = 18 + -13. What is the remainder when z(0) is divided by y?
3
Let l = 14 + 15. Suppose 0*x + 50 = 5*x. What is the remainder when l is divided by x?
9
Suppose 0 = 13*g - 14*g + 5. What is the remainder when 17 is divided by g?
2
Let k(d) = -11*d + 2. Let q be k(-5). Let o = q + -29. What is the remainder when o is divided by 10?
8
Suppose -7*z - 245 = -14*z. Calculate the remainder when z is divided by -1 - (4/(-2) + -11).
11
Suppose -5*k = -4*q + 67, 20 = 2*q + 4*k + 6. What is the remainder when 37 is divided by q?
11
Suppose -n + 3*y + 21 = 0, -5*n + 4*y + 72 = -0*n. What is the remainder when n is divided by 1/2 + 91/14?
5
Suppose 5*s + 5*k - 16 - 19 = 0, -2*k + 29 = 5*s. Let v(g) = g**2 + 5*g - 5. What is the remainder when v(2) is divided by s?
4
Suppose 5*d + l = 2*d + 43, 2*d + 4*l = 42. Calculate the remainder when 296/(-32)*(0 + -4) is divided by d.
11
Suppose -3*m + 8*t - 5 = 3*t, m + 2*t = 13. Suppose 3*b - m = -2. Calculate the remainder when 4/(8/6) + -2 is divided by b.
0
Suppose 6*s = s. Suppose 3*q - 1 = -w + 5, w + q - 6 = s. Calculate the remainder when 10 is divided by w.
4
Let h = -29 + 47. What is the remainder when 33 is divided by h?
15
Suppose 0 = 2*d + 4*y - 5*y - 162, 2*d = -4*y + 172. Calculate the remainder when d is divided by 18.
10
Let f = 52 - 17. What is the remainder when f is divided by 9?
8
Suppose 2*d = l - 3*l, d + 4 = 0. Let c be 2/(2 - 140/71). Suppose 0 = l*w - 7 + 3, -c = -4*j + w. Calculate the remainder when j is divided by 10.
8
Suppose 2*n = 7*n - 35. Suppose 3*i = 7*i. Suppose -20 = -5*q - i*q. Calculate the remainder when n is divided by q.
3
Let m = -75 - -89. Calculate the remainder when 26 is divided by m.
12
Suppose 0 = -5*i + i + 16. Let u(n) = -n**2 + 6*n - 5. What is the remainder when i is divided by u(4)?
1
Let y(z) = z**3 + 4*z**2 - 2*z - 5. What is the remainder when 8 is divided by y(-4)?
2
Let x = 38 + -9. Suppose 52 = 6*f - 44. Calculate the remainder when x is divided by f.
13
Let o = 34 + -17. Calculate the remainder when 65 is divided by o.
14
Suppose 3 = 4*v - 33. What is the remainder when 33 is divided by v?
6
Suppose 0*o = -3*o + 3. Calculate the remainder when 3 - 6 - (o + -24) is divided by 11.
9
Suppose -4*y = 4 - 0. Calculate the remainder when ((-5)/(-2))/(2/4) is divided by y/(-3)*12*1.
1
Suppose -5*c + 2*c = -225. Calculate the remainder when c is divided by 38.
37
Let k(f) = -f**2 + 22*f - 47. Calculate the remainder when (-67)/(-2) - (-2)/4 is divided by k(19).
4
Let j be (15/(-9))/(2/(-18)). Let m = 11 + -3. Calculate the remainder when m is divided by 1/(3 + (-42)/j).
3
Suppose r - u - 33 = 0, 5*u = -7 + 2. Calculate the remainder when r is divided by 11.
10
Let s = 66 + -23. Calculate the remainder when s is divided by 22.
21
Suppose 3*r = 0, a - 3 = 5*r + 2. Let w = 8 - a. Suppose 60 = 2*l + w*l. What is the remainder when 23 is divided by l?
11
Suppose 10*u - 120 = 5*u. What is the remainder when 143 is divided by u?
23
Suppose -m - 20 = -4*m + n, 0 = -4*m - 3*n + 5. Suppose -68 - 7 = -m*q. What is the remainder when q is divided by 8?
7
Let g = -55 - -84. Let w = 17 + -2. Calculate the remainder when g is divided by w.
14
Let i(g) = -2*g**2 + 15*g - 11. Calculate the remainder when 25 is divided by i(6).
4
Suppose 4*b = 2*y + 22, 0 = 4*y - 0 + 4. Suppose -15 - 60 = b*q. What is the remainder when 14 is divided by (24/q)/(2/(-10))?
6
Suppose -26*c = -21*c - 90. Calculate the remainder when 34 is divided by c.
16
What is the remainder when (6/4)/(6/40) is divided by 4?
2
Let p = 29 + -7. Suppose k = 4*h - 92, 0 = 4*k - 6 + p. What is the remainder when h is divided by 6?
4
Let v(c) = c**3 + 9*c**2 + 7*c + 4. Let r be v(-4). Let y = r - 39. What is the remainder when 49 is divided by y?
15
Suppose 5*u + 29 + 23 = 3*o, 0 = 3*u + o + 20. Let f(q) = q**3 + 7*q**2 - 10*q - 11. Calculate the remainder when f(u) is divided by 2.
1
Suppose 3*p = 7*p. Suppose -11 = -3*t + 4, p = 3*h - t - 76. Calculate the remainder when h is divided by 14.
13
Suppose -4*s + 2*s = 14. Let c = s - -12. Suppose 5*t = -5*i + t + 27, 0 = -c*i - 3*t + 24. Calculate the remainder when 4 is divided by i.
1
Suppose -2*f + 38 = l, 5*l - 46 = -2*f + 2*l. Suppose 0 = -4*k + f + 71. Calculate the remainder when 64 is divided by k.
20
Let q(k) = 9*k + 1. Let h be q(-2). Let f = h + 28. Calculate the remainder when 2 + (-4)/1 + 22 is divided by f.
9
Suppose 24*u = 25*u - 49. What is the remainder when u is divided by 25?
24
Suppose 0 = 3*i - 8*i + 20. Let k be 302/3 + (-2)/(-6). Suppose -2*v = 2*z - 72, k + 34 = 5*v - i*z. Calculate the remainder when v is divided by 11.
9
Suppose 4*n - 451 = -7*n. What is the remainder when n is divided by 11?
8
Suppose 0 = 3*i - 8 - 4. Suppose 4*v - i = -0. Calculate the remainder when 2 is divided by v.
0
Suppose -f - 4*r - 31 = 4*f, -5*f - 5*r = 35. Let z = 44 + f. Calculate the remainder when z is divided by 11.
8
Let f = 88 - 42. Suppose -16 - f = -2*b. Calculate the remainder when b is divided by (2/(-4))/(1/(-22)).
9
Let o(a) = 14 - 2 + 2*a - 3*a. Let p be (-84)/(-16) + (-3)/12. Calculate the remainder when o(p) is divided by 4.
3
Let j(u) = -u**2 + 8*u - 11. Suppose 2*y = -4, 0*y - 5 = -q + 2*y. Let d(k) = 7*k**3 - 2*k**2 + 2*k - 1. Calculate the remainder when d(q) is divided by j(5).
2
Suppose -2*y + 31 = -9. What is the remainder when y is divided by 7?
6
Suppose 52 = 25*q - 21*q. Let f(u) = -u - 1. What is the remainder when q is divided by f(-6)?
3
Let z(u) be the third derivative of u**6/30 - u**5/60 + u**4/12 + u**3/6 + 2*u**2. What is the remainder when 65 is divided by z(2)?
32
Let b = 18 - -2. What is the remainder when 38 is divided by b?
18
Suppose -4*p + 4 + 4 = 0. What is the remainder when 2 is divided by p?
0
Let i be (-1)/(((-2)/(-5))/(-2)). Suppose 2*x + 2 = 6, i*z - 179 = 3*x. Calculate the remainder when z is divided by 13.
11
Let h(q) = -q**2 + 13*q - 7. Let z be h(13). Let w(k) = -2*k - 1. What is the remainder when 50 is divided by w(z)?
11
Let o be 1/(6/3)*10. Suppose b + 5*m + o = 0, b + 3*b = 2*m + 90. What is the remainder when b is divided by 11?
9
Let i(a) = 2*a**2 + 3*a +