Let p(a) = 3*a + 4. Let y be p(-6). Calculate the remainder when (-578)/y - (-4)/(-14) is divided by 14.
13
Suppose 5*p + 44 - 9 = b, -4*p = 16. Let x be ((-1)/((-2)/(-6)))/(-1). Suppose x*d = 7 + 17. What is the remainder when b is divided by d?
7
Let w be (-1)/((-3)/(5 + 1)). Let c(f) = 8*f + 2. What is the remainder when 34 is divided by c(w)?
16
Let x(t) = -t**3 + t - 17. Let n be x(0). Calculate the remainder when (n/3)/((-6)/18) is divided by 10.
7
Let i be 32/(-10)*(-25)/10. Let s(w) = -w**3 + 9*w**2 - 5*w - 2. Calculate the remainder when 87 is divided by s(i).
21
Suppose -b + 43 = 6*j - 2*j, -b = -5*j + 47. What is the remainder when 45 is divided by j?
5
Let i = 23 + -9. Suppose 155 = -2*c + 7*c. Suppose 2*y - c = 21. What is the remainder when y is divided by i?
12
Suppose 0 = -4*j + j. Suppose g + j*g + 4 = 0, -3*g - 7 = l. Suppose -z = -3*z - l*r + 27, -2*z + r = 3. Calculate the remainder when z is divided by 1.
0
Let c = 105 - 73. Calculate the remainder when c is divided by 19.
13
What is the remainder when 65 is divided by ((-11)/3)/((-4)/12)?
10
Let d = 7 + 3. Calculate the remainder when d is divided by 8.
2
Let o(v) = v**2 + 7*v + 3. Let p be o(-7). Suppose -78 + 15 = -p*y. What is the remainder when y is divided by 6?
3
Let n(k) = 5*k**3 - k**2 - 1. What is the remainder when n(2) is divided by 10?
5
Let w(i) = -i - 5. Let x be w(-7). Suppose -f + 174 = 2*f. Calculate the remainder when f is divided by 10/((-5)/x - -3).
18
Let k = 204 - 7. Calculate the remainder when k is divided by 50.
47
Suppose 8 = -4*i, 4*c + 2*i - 362 = i. What is the remainder when c is divided by 28?
7
Suppose -4*x + 3*t + 47 = 0, -1 = -t - 6. Calculate the remainder when 21 is divided by x.
5
Let i(z) = z**3 + 3*z**2 - 5*z + 1. Let h = -14 + 10. Suppose -13*o + 9*o + 32 = 0. What is the remainder when o is divided by i(h)?
3
Let i(a) = 4. Let t(r) = -r + 5. Let h(p) = -2*i(p) + 3*t(p). Suppose -z = -q + 4*q + 26, 2*q + 29 = -3*z. Calculate the remainder when h(q) is divided by 10.
8
Let x = 29 - 23. Calculate the remainder when 14 is divided by x.
2
Let h(g) = g**2 + 2*g - 9. Suppose -4*m - 14 = -82. Calculate the remainder when m is divided by h(-5).
5
Suppose 2*g - 342 = t, -t + 334 = 2*g - 0*t. What is the remainder when g is divided by 34?
33
Let j(k) = 2*k**2 - 3*k - 3. What is the remainder when j(4) is divided by 5?
2
Let a(h) = h**2 - 7*h - 2. Let f be a(8). Suppose -4*k + f*k - 26 = 0. What is the remainder when 51 is divided by k?
12
Let l be (-4 - -2)*(-6)/4. Suppose 2*b - m - 66 = 0, -2*b + 0*b + l*m + 62 = 0. Calculate the remainder when b is divided by 18.
16
Let u(k) = k**2 + 8*k + 6. Let g be u(-7). Calculate the remainder when 25 is divided by 0 - (-10 - (-2 - g)).
7
Let w(z) = -6*z + 10. Let s(a) = -a - 1. Let b(g) = s(g) - w(g). Suppose 4*q - 2*v = 22, 3*q + 1 = -0*q + 5*v. What is the remainder when b(q) is divided by 15?
14
Let c(v) = -3*v - 11. What is the remainder when c(-8) is divided by 7?
6
Let g be (-126)/(-33) + (-4)/(-22). Suppose -108 + 8 = -g*o. What is the remainder when o is divided by 9?
7
Let v(k) = 21*k**2 - 1. Let a(r) = -2*r - 1. Let j be a(-1). Let l be v(j). Suppose -6*s + l = -4*s. What is the remainder when 29 is divided by s?
9
Let f = 83 + -35. Suppose 32 = 2*k - f. Calculate the remainder when k is divided by 14.
12
Let c(a) = -a**3 - 5*a**2 - a. What is the remainder when c(-5) is divided by 2?
1
Suppose 2*c = -c - 3. What is the remainder when 49 is divided by 14 - 1*(c - -2)?
10
Let o = 303 - 290. Let q(c) = 177*c. Let u be q(1). Suppose -192 = -5*p + 3*k, 2*k + 5 = -5*p + u. Calculate the remainder when p is divided by o.
10
Let b = 27 - 1. Let g = -28 + 54. What is the remainder when b is divided by g/2 + (-1)/(-1)?
12
Let x(a) = -a**2 + 9*a + 10. Let u be x(10). Suppose -2*h = -5*p - 12, 3*h + u*h - p - 18 = 0. Let o = -17 + 33. Calculate the remainder when o is divided by h.
4
Suppose -6*i + 188 = -2*i. What is the remainder when i is divided by 10?
7
Let b(o) be the first derivative of o**2/2 - 3*o + 3. Let n be b(-4). Let r = n + 14. What is the remainder when 25 is divided by r?
4
Let r(n) = n**3 - 2*n**2 - 7*n - 3. What is the remainder when r(5) is divided by 20?
17
What is the remainder when 108 is divided by ((-84)/30)/((-3)/5)*6?
24
Suppose -34 + 10 = -5*m - x, -3*x = -3*m. Suppose 5*b + 7 = 52. Let h = b - m. What is the remainder when 14 is divided by h?
4
Let m be (-2)/(-3)*21/2. Suppose b + 2 - 6 = 0. Let a = m - b. Calculate the remainder when 8 is divided by a.
2
Let k be 18/((-10)/(-4) - 1). Suppose -5*s = 5*g, -k = 2*s + g - 2*g. Calculate the remainder when 11 is divided by 3*s*3/(-6).
5
Suppose -2*g - 5 = -4*q + 9, -3*q - 3*g = -6. Suppose 0 = t + q*t - 84. Calculate the remainder when t is divided by 11.
10
Let z(t) = -t**3 + 7*t**2 + 9*t + 10. Let k be 3/(-3) - (-36)/4. What is the remainder when 33 is divided by z(k)?
15
Let o(l) = 8*l - 8. What is the remainder when o(14) is divided by 35?
34
Suppose -2*k = -w + 5*w - 12, 0 = 4*k - 4*w. Let l = 0 - k. What is the remainder when 8 is divided by -2 + 4 - (l - 1)?
3
Let s(y) = -y**3 + 9*y**2 + 6*y - 5. Calculate the remainder when s(5) is divided by 32.
29
Let u(v) = 2*v**3 + 2*v**2 - 2*v - 2. Let p be u(2). Suppose -j + p = 2*j. Calculate the remainder when (j/(-15))/((-2)/140) is divided by 10.
8
Suppose 5*j = 2*j - 3. Let t = -8 - -5. Calculate the remainder when 23 is divided by ((-1)/t - j)*9.
11
Suppose -6*s + 95 = -s. Suppose 0*p = -3*b - 5*p + 20, 0 = p - 1. Suppose -3*f - d = -20, -3*d = -b*f - 6*d + 32. What is the remainder when s is divided by f?
5
Suppose -5*i + 3*a = -15, 9 = 3*i - a + 2*a. Suppose 2*v = 5*u + 127, i*v - 3*u - 219 = -v. What is the remainder when v is divided by 13?
12
Suppose 0*g = g - 9. What is the remainder when (-5)/(-5)*1 - (-16 + 2) is divided by g?
6
Let y(h) = h**3 - 2*h**2 + 2*h. Calculate the remainder when 59 is divided by y(3).
14
Let z(r) = r - 4. Let f be z(3). Let x be (2 + -13)/(f/(-2)). Let y = -8 - x. What is the remainder when 27 is divided by y?
13
Let d(o) = o**2 - o + 5. Calculate the remainder when 32 is divided by d(4).
15
Suppose -34 = 5*r - 129. Suppose -2*c + i - r = -4*c, 5*c - 4*i = 41. Calculate the remainder when 26 is divided by c.
8
Suppose -8 = 4*m - 24. Suppose -75 = -m*k - 15. What is the remainder when k is divided by 9?
6
Suppose 5*k + 4*r - 32 = 0, -3*k + 0*k + 3 = -3*r. Calculate the remainder when 21 is divided by k.
1
Let q = 11 + 5. Calculate the remainder when q is divided by 5.
1
Let r = -10 - -15. Suppose -3*p - 4*o - r - 2 = 0, 2*o = -4*p - 6. What is the remainder when (0 - (p - 0)) + 1 is divided by 2?
0
Suppose 2*x - 3*x + 9 = 0. Suppose i - x = -2*i. What is the remainder when i is divided by 2?
1
Suppose -86*t = -91*t. Suppose -4*n = -2 - 10. Suppose -n*y = 0, 5*d - 45 = -t*d + 4*y. What is the remainder when 16 is divided by d?
7
What is the remainder when 44 is divided by 2*(14 - 2) + 2?
18
Suppose 3*p - 7*p = -12. Let l be (-4)/8 + (-10)/(-4). Suppose -3 = -w + l. Calculate the remainder when w is divided by p.
2
Let q(u) = 7*u**2 - 9. Calculate the remainder when q(3) is divided by 16.
6
Suppose 2*g - 16 = 22. Let b = -64 + 101. Calculate the remainder when b is divided by g.
18
Suppose 3*k - 28 = -k. Let r be -5 + 2 - 2/(-1). Let d = 3 - r. Calculate the remainder when k is divided by d.
3
Suppose 0*p = 4*p - 16. Let y(s) = s**3 + 8*s**2 + 6. What is the remainder when y(-8) is divided by p?
2
Let b be 1*(11 - 2/1). Suppose 2*f = 9 + b. What is the remainder when 16 is divided by f?
7
Suppose 0 = 3*u - 6*m + 4*m - 66, 4*m - 68 = -4*u. Suppose -3*d + d + u = 0. What is the remainder when 37 is divided by d?
7
Let x = 13 + 29. Let g(u) be the second derivative of u**4/12 - u**3/6 - 4*u**2 - 4*u. Calculate the remainder when x is divided by g(-5).
20
Let v = -6 + 18. Let z(m) = 2*m**3 + 2*m**2 - 2*m + 2. What is the remainder when z(2) is divided by v?
10
Let m be 1/(-3) + (-16)/(-3). Let h = m + 7. Calculate the remainder when 23 is divided by h.
11
Suppose 0 = -0*u + 4*u + 312. Let g = u - -124. What is the remainder when g is divided by 16?
14
Suppose 5*l - f - 42 = -5*f, 0 = -4*l - 5*f + 39. Calculate the remainder when 23 is divided