= j**2 + 10*j - 34. Calculate the remainder when c(3) is divided by m(-4).
1
Suppose -15 = -8*c + 3*c. Let l = -15 + 22. Suppose g - l = -x, 3*g = 6*g - c*x - 21. What is the remainder when 13 is divided by g?
6
Suppose 6 = -9*h + 12*h. Suppose -h*d - 2*d + 12 = 0. Calculate the remainder when d is divided by 2.
1
Let g = -14 + 14. Suppose 0 = 3*t - g - 3. Calculate the remainder when 3 is divided by t.
0
Suppose 3*n - 248 = -4*f, 4*f + 3*n - 248 = -2*n. Calculate the remainder when f is divided by 13.
10
Let a(x) = -x**2 - 6*x - 4. Let n = -18 + 11. Let m be a(n). Let q = m - -22. Calculate the remainder when 20 is divided by q.
9
Suppose -w + 3*y + 21 = 6, -12 = -w + 2*y. Let a(k) = 2*k + 11. Calculate the remainder when 89 is divided by a(w).
20
Let t(o) = -47*o + 2. What is the remainder when t(-1) is divided by 13?
10
Suppose j - 49 = 4*k, 4*j - 229 = -0*j + 5*k. Calculate the remainder when j is divided by 32.
29
Suppose 0 = -5*z - 2*a + 92, 2*z + 10 = -a + 46. Suppose -4*o - 3*k = -297, -4*o + 337 = -9*k + 4*k. Calculate the remainder when o is divided by z.
18
Let l(j) = 8*j - 5. Suppose -5*c = -1 - 34. What is the remainder when l(4) is divided by c?
6
Suppose -n - 2*v = 5, 8 = -2*n - 3*v - 7. What is the remainder when (-15)/(-2)*(-50)/n is divided by 9?
7
Let b = -1453 + 646. Let t(r) = 23*r**3 - r**2 + 2*r - 1. Calculate the remainder when 1/(-4) - b/12 is divided by t(1).
21
Let f(g) = -2*g - 1. Let p be f(-1). Suppose 2 - p = x. Suppose -x - 26 = -3*y. Calculate the remainder when y is divided by 6.
3
Let r = -4 - -6. Suppose w + 234 = 4*x - r*w, w = -2. Calculate the remainder when x is divided by 30.
27
Suppose 6*i = 3*i + 5*h - 25, -5*i + 3*h = 15. Suppose i = 3*c - w - 5, -3*w - 7 = -c. Suppose 0 = -k + c. Calculate the remainder when 1 is divided by k.
0
Let i = 111 + -51. What is the remainder when i is divided by 8?
4
Calculate the remainder when 4/16 + 126/8 + 0 is divided by 5.
1
Let t = -1 + 20. Let r(f) be the second derivative of f**4/12 + f**3/2 + 3*f**2 + 3*f. What is the remainder when t is divided by r(-4)?
9
Suppose 230 = -6*t + 11*t. What is the remainder when 273 is divided by t?
43
Let v(o) = -o**3 + 6*o**2 + 4*o - 4. Calculate the remainder when (456/32)/(3/8) is divided by v(6).
18
Let x(c) = -6*c. Let f be -3 + 6 + -2 + -3. Calculate the remainder when x(f) is divided by 7.
5
Let j be ((-5)/(-4))/(1/4). Let c = j + -2. Suppose -36 + 12 = -c*m. Calculate the remainder when 21 is divided by m.
5
Suppose 73 + 72 = 5*z. Suppose 0 = -4*x - 4, -z = -m - 0*m + 2*x. Calculate the remainder when 51 is divided by m.
24
Let f(m) = m**3 + 5*m**2 - 7*m + 2. Let i be f(-5). Suppose 0 = -2*d + 3*q + i, -d - d = -2*q - 42. Calculate the remainder when d is divided by 14.
12
Let m(d) = d**2 + 2*d + 2. Let y be m(-1). What is the remainder when 31 is divided by y/((6/16)/3)?
7
Suppose 10*u + 140 = 15*u. Calculate the remainder when 108 is divided by u.
24
Let q = 41 - 3. Suppose 0 = -2*f + 22 + 18. What is the remainder when q is divided by f?
18
Suppose -9*g = -5*g - 32. Let q = -4 - -6. Suppose -3*t - q*f + 64 = t, 5*f - 48 = -2*t. Calculate the remainder when t is divided by g.
6
Let q be 10/(-4) - (-1)/2. Let r = -2 - q. Calculate the remainder when 19 is divided by 5/(r - (-3)/6).
9
Let f = -1 - -58. Suppose -2*v = n - 63, 3*n - f = v - 3*v. Let i(b) = -16*b**3 - 2*b - 1. Calculate the remainder when v is divided by i(-1).
16
Suppose -16 = -0*l - l - i, 3*l - 47 = -2*i. Let g = l - 8. Suppose 0 = -g*c + 3*c + 28. Calculate the remainder when 12 is divided by c.
5
Let y(w) be the first derivative of -4 - w + w**2 + 16/3*w**3. Calculate the remainder when y(1) is divided by 6.
5
Suppose 0 = 4*g + 2*k - 20, 0 = -4*g - k - 2*k + 24. Let m(f) = f**3 - 4*f**2 + 3*f + 3. Calculate the remainder when 4 is divided by m(g).
1
Calculate the remainder when 31 is divided by ((-2)/(-3))/(4/18) - -1.
3
Let m be (-7 - -5)/((-4)/58). Suppose 16 = -4*g, m = -0*f + 3*f + 4*g. Let z(w) = -7*w - 6. Calculate the remainder when z(-5) is divided by f.
14
Suppose 5*s - m = -4*m + 171, 4*s - 5*m - 159 = 0. What is the remainder when s is divided by ((-38)/6)/(2/(-6))?
17
Let r be -3*(1 + (-1 - 1)). Suppose 0 = r*f + 5*o - 6, -3*o + 11 = 5*f - 15. Let l = -1 - -21. What is the remainder when l is divided by f?
6
Suppose -l + 20 = -3*y + 47, 0 = -3*y + 3*l + 27. What is the remainder when 34 is divided by y?
7
Suppose 6*p = 181 - 55. What is the remainder when 40 is divided by p?
19
Let y = -29 - -106. What is the remainder when y is divided by 10?
7
Let o = 15 + -8. Let s(q) = q**3 - 7*q**2 - 6*q + 2. What is the remainder when s(8) is divided by o?
4
Let i = 5 + 12. Calculate the remainder when 31 is divided by i.
14
Let y = 29 - 21. Suppose i - 4*d = 6, 2*i - 2*d = -3*i + 12. Suppose -11 = -i*r - 5. What is the remainder when y is divided by r?
2
Let f be (2/(-3))/(2/(-3)). Suppose o - 5*q = -2*o - 45, 30 = -2*o - 2*q. Let u = f - o. Calculate the remainder when 46 is divided by u.
14
Let f = -21 - -34. Calculate the remainder when f is divided by 7.
6
Suppose -5*v + 5 = 0, 3*h + 2 = 3*v + 14. Suppose 3*g = o - 15, o - 4*o + 20 = -4*g. Let w = o + h. Calculate the remainder when 18 is divided by w.
3
Suppose -4*b + 5*q = -558 - 15, -b = -2*q - 147. Suppose -5*p + 2*p + b = -5*m, -5*m - 5 = 0. What is the remainder when p is divided by 23?
21
Suppose -3*z + 2*y + 29 = 0, 5*z + 3*y - 80 = -0*y. Let a be 2/8 - 775/(-4). Suppose a = 5*u + 4. What is the remainder when u is divided by z?
12
Suppose -5*f + 44 = -3*f + 4*x, x = -3. Calculate the remainder when 80 is divided by f.
24
Suppose i + 1499 = -2*j + 7*j, i = j - 299. Suppose -j = -4*d + 80. What is the remainder when d is divided by 24?
23
Suppose -3*b + 186 = 5*d, 5*b + 26 = 4*d - 3*d. What is the remainder when d is divided by 10?
6
Suppose -2*i - 5 = -j + 13, 4*j - 3*i = 72. Calculate the remainder when (-4)/(-18) - 4459/(-63) is divided by j.
17
Let j(u) = u**2 - 12*u + 9. Let g be j(10). Let y = 26 + g. What is the remainder when 43 is divided by y?
13
Suppose 0 = -4*l + 13 + 3. Let h = -5 - -12. What is the remainder when h is divided by l?
3
Let q(n) = 0*n - n**3 + 3*n**2 + 3*n - n + 3. Let c be q(-2). Suppose -c = r - 2*r. Calculate the remainder when r is divided by 11.
8
Let a = 18 + -5. What is the remainder when 24 is divided by a?
11
Suppose -d - 2*v + v + 19 = 0, -v = -4*d + 76. Let p(z) = 4*z**3 - z + 1. Let c be p(1). Let o = c + d. Calculate the remainder when o is divided by 13.
10
What is the remainder when 25/30*-4*-12 is divided by 11?
7
Let a(p) = 4*p**2 - p + 2. What is the remainder when a(3) is divided by 6?
5
Let m(h) = h**3 - 11*h**2 + 9*h + 27. Calculate the remainder when 62 is divided by m(10).
11
Suppose m - 3*z - 163 = 72, 3*m - 4*z = 725. What is the remainder when m is divided by 50?
47
Let j(w) = -w**3 + 5*w**2 + 4*w + 4. Let p be j(6). Let t = -3 - p. Suppose t*x - 51 = -6. Calculate the remainder when x is divided by 5.
4
Suppose -1 = 4*t + 15. What is the remainder when 54 is divided by (t - (-1 + 0)) + 17?
12
Let d = -13 + 18. What is the remainder when 8 is divided by d?
3
Let b be (-6 - 1)/(-12 - -11). Calculate the remainder when (-1356)/(-42) + (-2)/b is divided by 11.
10
Let i be 2/12 + (-1)/6. Suppose 3*w = 2*x - 39, x + 2*w + i = 2. Calculate the remainder when 35 is divided by x.
11
Let x(p) = 16*p**2 - 2*p - 4. Suppose -3*z = -y - 32, -z = -3*z - 6. Let g = y - -60. What is the remainder when x(2) is divided by g?
18
Let c = 1148 - 1140. Let t(x) = 2*x + 5. What is the remainder when t(4) is divided by c?
5
Let n = -9 - -7. What is the remainder when (-6 - -5)/(n/38) is divided by 7?
5
Let y(i) = i**2 + 17*i + 20. Calculate the remainder when 9 is divided by y(-16).
1
Suppose 4*x + 13 = -11. Let g(y) = y**2 - 2*y - 9. Let f be g(x). What is the remainder when ((-56)/(-21))/(2/f) is divided by 18?
16
Let m = -12 - -21. Calculate the remainder when m is divided by 4.
1
Let o(y) = y**2 + y + 8. Let h be o(0). Let b = h + -1. Calculate the remainder when b is divided by 4.
3
Let s(l) = -2*l + 1. Calculate the remainder when s(-13) is divided by 14.
13
Let n = 10 - 6. Suppose 0 = 2*k + 2*r - 82, 5*k - 4*r - 147 - 76 = 0. What is the remainder w