Suppose f*c - 110 = d, 0*c + 5*c + d - 120 = 0. Calculate the remainder when c is divided by 8.
7
Suppose 4*a + 16 = -3*l + 7*l, -3*a = 6. Suppose s + 5*w - 25 = -s, 4*w - 22 = -l*s. What is the remainder when s is divided by 3?
2
Suppose 5*r + b = -127, 5*b + 49 = -2*r + 12. Let w = r + 37. Calculate the remainder when w is divided by 3.
2
Suppose -6 = l - 2*l. Suppose -2*i + 5*i = 15. Suppose -i*u + 86 - 1 = 0. Calculate the remainder when u is divided by l.
5
Suppose 10 = k + 4*k. Suppose 4*a = 14 + k. What is the remainder when 7 is divided by a?
3
Let r = -16 + 49. What is the remainder when 130 is divided by r?
31
Suppose -1430 = -11*y + 286. What is the remainder when y is divided by 32?
28
Suppose d - 5*d = u - 12, 3 = d + 4*u. What is the remainder when 14 is divided by d?
2
Let j be 42/9 - (-3)/9. Suppose -2*t - 2*x = 0, 3*x - j*x = 3*t - 2. Let s = t - 1. Calculate the remainder when s is divided by 1.
0
Let k = 122 - 92. What is the remainder when 144 is divided by k?
24
Suppose -5*g - 35 = 2*z, 3*g - 35 = 5*z + 6. Let t = z + 20. What is the remainder when 39 is divided by t?
9
Let y be (0 - -1)/((-9)/54). Let i = 23 + y. Calculate the remainder when i is divided by 6.
5
Suppose 0 = 3*w, 0 = 3*s - 5*w - 39 - 36. What is the remainder when 73 is divided by s?
23
Suppose 4*p + 4 - 24 = 4*y, -17 = 3*y - 5*p. Let a = y - -1. Calculate the remainder when 21/2 - a/6 is divided by 4.
3
Let g(i) = -i**2 + 17*i + 11. Calculate the remainder when g(6) is divided by 18.
5
Let r = 2 - -2. Suppose 4*v - 43 = h + 9, 12 = 2*v - r*h. Calculate the remainder when v is divided by 8.
6
Let y = -8 - -9. Let p = 77 - 76. Calculate the remainder when y is divided by p.
0
Suppose -5 - 1 = -3*m. Calculate the remainder when 35 - 2 - (m + -3) is divided by 18.
16
Let c(f) = -f**2 + 9*f - 3. Let x = -18 + 25. What is the remainder when 21 is divided by c(x)?
10
Suppose -4*f - 4 = -u - 0, f + 2*u - 8 = 0. Suppose 5*q - 220 = -0*o + 2*o, f = -5*q - o + 205. Calculate the remainder when q is divided by 22.
20
Let o(a) be the third derivative of a**6/120 - 3*a**5/20 + 7*a**4/24 + 11*a**3/6 + a**2. Let h = -20 - -28. What is the remainder when o(h) is divided by 2?
1
Let y = -28 + 41. Calculate the remainder when y is divided by 8.
5
Let j(t) = -3*t**3 + 2*t**2 + t + 2. Calculate the remainder when j(-2) is divided by 11.
10
Suppose 66 = -2*i - i. Let b = i - -32. Calculate the remainder when 39 is divided by b.
9
Let i be (-2)/3*(-222)/4. Suppose 5*c = i + 163. Let d(t) = -5*t + 1. Calculate the remainder when c is divided by d(-4).
19
Let x be (-1)/(2/(-124)) - -3. Let r = -28 + x. Calculate the remainder when r is divided by 13.
11
Let k(p) = -2*p**3 - 4*p**2 + 4*p + 12. What is the remainder when k(-3) is divided by 12?
6
Suppose 5*r - 84 = -h, -3*r + 2*h = r - 56. What is the remainder when 60 is divided by r?
12
Let o = 11 + -11. Suppose o = -4*p + 3*p + 9. Calculate the remainder when 10/4*(13 - 3) is divided by p.
7
Let k be ((-18)/(-5))/((-2)/10). Let g = -2 - k. Suppose -4*i + 2*n = -30, 2*i + i = -4*n + 39. Calculate the remainder when g is divided by i.
7
Suppose -3*g + 0 - 3 = 0. Let m(j) = 33*j**2 - j - 1. Calculate the remainder when m(g) is divided by -3 - ((-80)/4 + 0).
16
Let s be (0 + -9)*4/(-3). Suppose -s = -c - 5. What is the remainder when 26 is divided by c?
5
Let p(o) = 3*o + 2*o + 4 + 0*o - 4*o. Suppose 3*z + 4*x + 5 = 0, 0 = -5*z + 4*x - x + 40. What is the remainder when p(4) is divided by z?
3
Suppose -63 = 2*n - 5*n. Let a = 24 + -16. What is the remainder when n is divided by a?
5
Let n(y) = -2*y + 26. Let a = -4 - -15. Calculate the remainder when a is divided by n(11).
3
Suppose -5 = -i + 17. Calculate the remainder when 108 is divided by i.
20
Let i be 4/6 - (-186)/(-9). Let v be (i/10)/((-4)/14). Suppose -27 = -4*o - v. What is the remainder when 14 is divided by o?
4
Let c(t) = t - 3. Let b be c(5). Suppose 0 = 2*x - 4*x + 2. What is the remainder when (2 - 1)/(b/4) is divided by x?
0
Let g = -98 - -117. What is the remainder when 75 is divided by g?
18
Suppose c + 2*d - 22 = 0, -5*c + 2*d = -2*d - 40. Suppose -2*p - p = 0. Suppose p*u - 136 = -4*u. What is the remainder when u is divided by c?
10
Suppose 7*l = 8*l - 21. What is the remainder when 61 is divided by l?
19
Let y(t) = 7*t + 1. Calculate the remainder when y(5) is divided by 13.
10
Suppose -4*w = -2*m - 0*w + 30, -m + 16 = -3*w. What is the remainder when 63 is divided by m?
11
Let q = -66 + 102. What is the remainder when q is divided by 19?
17
Suppose 8*x - 16*x + 504 = 0. Calculate the remainder when x is divided by 16.
15
Let k be ((-8)/12)/(4/(-30)). Suppose k*u - 34 - 6 = 0. What is the remainder when 31 is divided by u?
7
Let j(n) = 2*n - 11. What is the remainder when 33 is divided by j(9)?
5
Let c(r) = -9*r - 3. Suppose 2*i - 4 = j + 10, 5*i = 3*j + 33. What is the remainder when c(-3) is divided by i?
6
Let i(j) = j**3 - 2*j**2 - 8*j + 17. Calculate the remainder when i(5) is divided by 8.
4
What is the remainder when 17 is divided by 0 + 2/((-1)/6*-4)?
2
Let i(c) = c**3 - 3*c**2 - 3*c - 4. Let h be i(4). Let z = 4 + h. Suppose z*n - 3*n = 3. Calculate the remainder when 10 is divided by n.
1
Let h(s) = s**3 + 4*s**2. Let i be h(-4). Let j(z) = z - 4. Let c be j(3). Calculate the remainder when c + (i - 0 - -27) is divided by 14.
12
Let m(r) = -3*r**3 - 2*r**2 + 7*r + 2. Let x(d) = 7*d**3 + 3*d**2 - 14*d - 3. Let n(f) = 5*m(f) + 2*x(f). Calculate the remainder when 133 is divided by n(-6).
31
Let p = 28 + -9. Calculate the remainder when 94 is divided by p.
18
Suppose 2*m - 24 - 14 = 0. What is the remainder when m is divided by 5?
4
Let w(a) = 7*a**2 + 3*a + 1. Let q(v) = v**3 - 4*v**2 + 4*v - 2. Let f be q(2). Calculate the remainder when w(f) is divided by 8.
7
Let z = -1 + 4. Let o = 2 + z. Calculate the remainder when 14 is divided by o.
4
Suppose 3*p = 8 + 7, 7 = -4*q - p. Let d(f) = f**2 - 2*f - 3. What is the remainder when 35 is divided by d(q)?
11
Let l(q) = -5*q**3 + 2*q**2 + 4*q + 5. Let n be l(-2). Suppose -w - 4*w + n = 0. What is the remainder when w is divided by 3?
0
Suppose -b - 11 = -2*b. Suppose -7*d = -d - 144. Let f = 45 - d. Calculate the remainder when f is divided by b.
10
Let g(w) = w**3 - 6*w**2 - 13*w + 10. Let a be g(8). Let b = -7 + a. What is the remainder when 107 is divided by b?
26
Suppose 4*d - 61 = t, 4*d = -4*t + 15 + 21. What is the remainder when 53 is divided by d?
11
Let v = 1 - -4. What is the remainder when v is divided by 2?
1
Let k = 67 - 41. What is the remainder when 50 is divided by k?
24
Let r = 21 - 6. Calculate the remainder when 59 is divided by r.
14
Suppose -6*h + 34 = -2*h + 2*l, -10 = -h - 2*l. Calculate the remainder when 30 is divided by h.
6
Suppose 0 = 2*m - 26 + 6. Suppose 0 = -2*o, -16 - 2 = -3*v + 4*o. What is the remainder when m is divided by v?
4
Suppose -2*f + 7*f = 120. Calculate the remainder when 0/3 - (0 - 43) is divided by (-64)/(-6) - (-8)/f.
10
Let f(p) = p**3 + 10*p**2 + 11*p + 9. Let w be f(-9). Let n = 16 + w. Calculate the remainder when n is divided by 2.
1
Let v be (-1)/3 - (-4)/12. Suppose v = 2*w - 6 - 20. Suppose -h + 37 = 4*a, -3*h - 3*a + 7*a + 63 = 0. Calculate the remainder when h is divided by w.
12
Let f = 0 - 0. Let u be (12/(-5))/(3 - (-214)/(-70)). Suppose u = 5*y - r - 11, f = 3*y + 5*r - 43. What is the remainder when 32 is divided by y?
10
Suppose 0 = -3*c + 6*c - 5*a - 26, 4*a + 10 = -3*c. Suppose c*p = -3*p + 40. Calculate the remainder when 15 is divided by p.
7
Let i(o) = 16*o + 1. What is the remainder when 61 is divided by i(1)?
10
Suppose -4*l - 188 = -8*l. Let a = l - 33. Calculate the remainder when 53 is divided by a.
11
Calculate the remainder when -2 + 2 + 340/(-8)*-2 is divided by 43.
42
Suppose -2*x = 6*x - 440. Calculate the remainder when x is divided by 28.
27
Let d = -4 + 7. Let u = -10 - d. What is the remainder when -2 + (-4)/(-2) - u is divided by 7?
6
Suppose -o + 2*o = 4. Calculate the remainder when 22 is divided by o.
2
Suppose -3*x = -i - 2*i + 183, -5*i + 4*x = -306. Calculate the remainder when i is divided by 16.
14
Let h = -24 - -51. What is the remainder when h is divided by 11?
5
Suppose -5 + 0 = -d. Let v(m) = m**2 - 5*m + 