.
6
Let c = 124 - 95. Calculate the remainder when c is divided by 11.
7
Let s = -20 + 38. Suppose p + 4*n = 34, 5*p - 2*n = 3*p + 68. What is the remainder when p is divided by s?
16
Let h(b) = -b + 5. Let f be h(0). Suppose f*g - 230 = p, 4*p + 6 = -g + 52. Calculate the remainder when g is divided by 12.
10
Calculate the remainder when (-19)/(-2) - (-39)/26 is divided by 6.
5
Let f = -4 - -6. Suppose f*a - a - 8 = 0. Suppose -58 = -4*h + 2*d, -4*d - a + 36 = h. What is the remainder when 47 is divided by h?
15
Let p(d) be the third derivative of -d**6/120 + d**5/12 + d**4/3 - d**3/2 + d**2. Calculate the remainder when p(6) is divided by (-2)/8 + (-21)/(-4).
4
Suppose 3*z - 11 = -5*o - 33, -5*z - 5*o = 30. Let f = 0 - z. Let d(j) = 2*j**2 - 5*j - 2. Calculate the remainder when 28 is divided by d(f).
8
Suppose -2*k + 3*c = -51, 0*k - 5*c = -2*k + 57. What is the remainder when 28/k*(20 - -1) is divided by 10?
8
Let d(z) = -z**2 - 7*z - 6. Suppose 3*g + 5*j - 66 = 0, -4*j = 5*g - 49 - 48. Calculate the remainder when g is divided by d(-4).
5
Suppose -2*o + o + 3 = 0, -5*a + 4*o + 188 = 0. Suppose 1 = w - 5*y, 5*w + y - 121 = -3*y. Calculate the remainder when a is divided by w.
19
Suppose 4*h + 4 = -3*a, -5*a - h - 1 = 34. Calculate the remainder when (-9 - -29)*(-22)/a is divided by 19.
17
Let s be (2 + -9 - -1)/(-2). Suppose -6*g + g = 2*j + 13, -2*j - 5 = -s*g. Let u = g + 4. What is the remainder when 4 is divided by u?
1
Suppose -177 - 153 = -5*k. Calculate the remainder when k is divided by 35.
31
Suppose 5*k - 21 = 8*m - 9*m, 0 = 3*m + 5*k - 53. Let c = 7 - -38. Calculate the remainder when c is divided by m.
13
Let y = 48 + -32. Let s = -11 + 49. Suppose -8 = l - s. What is the remainder when l is divided by y?
14
Let l = -11 - -32. Suppose l = 3*n + 6. Calculate the remainder when n is divided by (-1 - 2/4)*-2.
2
Let m = 12 - 10. Suppose -2*z - 3*q = -2*q - 109, -5*z + 277 = -m*q. What is the remainder when z is divided by 19?
17
Suppose 0 = -v - 3*t - 4, 3 - 48 = -5*v - 2*t. Suppose 2*q = 3*q - 1. Suppose -f + 6 = -q. Calculate the remainder when v is divided by f.
4
Suppose -2*y = -3*k + y + 210, 5*k - 2*y = 359. Suppose 0 = 3*l + 4 - k. What is the remainder when l is divided by 12?
11
Let n be 144/15 - (-6)/15. Let a(s) = s**3 - 11*s**2 + 10*s + 6. Let u(x) = -4*x**3 + 2*x + 2. Calculate the remainder when a(n) is divided by u(-1).
2
Suppose -r - r = 3*p - 40, -3*r = -2*p + 5. Calculate the remainder when 17 is divided by p.
7
Let i(o) = -6*o**3 - o**2. Suppose -3*a + 0*a = -12. Suppose -2*q = -4*j - 2, 0*j = -j + a*q + 3. Calculate the remainder when 14 is divided by i(j).
4
Let q = -2 - -5. Suppose c - 5*h = q*c, 0 = 4*c - h. Suppose c = -2*k + 14 + 8. Calculate the remainder when k is divided by 4.
3
Let u(n) = n - 3. Suppose 2*c - 7 = 3. What is the remainder when c is divided by u(6)?
2
Suppose -16 = -4*u - 4*k, 0 = 2*u + 2*k - 3*k + 7. Suppose z - 4*z + 116 = 5*d, -2*d + 34 = -5*z. What is the remainder when d is divided by u + (1 - 1) + 13?
10
Let f(r) = -12*r - 2. What is the remainder when f(-4) is divided by 16?
14
Let i be 1/(1/55 + 0). Suppose t + 5*k = 31, -4*t + k + i = -3*t. Calculate the remainder when t is divided by 13.
12
Let g(r) = -r - 4. Let o be g(-3). What is the remainder when 23 + 1 + o + -2 is divided by (-22)/(-1)*1/2?
10
Let s(m) = 2*m**2 - 3*m - 6. Calculate the remainder when s(6) is divided by 17.
14
Let v(x) = x**3 - 2*x**2 + 4*x - 3. Let y(n) = n**3 + 6*n**2 + 4*n + 6. Let i be y(-4). Let q = i - 13. What is the remainder when q is divided by v(2)?
4
Suppose 5*o - 2 = -12, 0 = -5*q - 3*o + 214. Suppose -3*f = -7*f + q. What is the remainder when f is divided by 4?
3
Let d = 94 - 9. What is the remainder when d is divided by 8?
5
Let g(u) = u**3 - 4*u**2 - 2*u + 6. Suppose 2*n = 3*d + 11, -17 = 3*n - 6*n + 5*d. Let v be g(n). Calculate the remainder when 38 is divided by (4/(-6))/(v/39).
12
Let c be (-4)/6 - 1/3. Let d be (2*c - -2)*-1. Let n = d + 12. What is the remainder when 23 is divided by n?
11
Suppose -121 + 133 = 3*k. What is the remainder when 45 is divided by k?
1
Let i(y) = -y + 2. Let l be i(2). Suppose -4*v + 224 = -l*v. What is the remainder when v is divided by 29?
27
Let w = -42 + 95. What is the remainder when w is divided by 27?
26
Suppose 2*w - 20 = -2*w + q, 0 = 2*w + q - 4. What is the remainder when 4 is divided by w?
0
Suppose 4*r - 15 = r. Let z(x) = x**2 - 6*x + 2. Let s be z(r). What is the remainder when (-26)/s - (-2)/(-3) is divided by 5?
3
Let k(t) = -31*t**2 + 1. Let j be k(-1). Let s be (-62)/(-10) - (-6)/j. Let w(m) = m**3 - 4*m**2 - 5*m + 5. What is the remainder when w(s) is divided by 16?
15
Suppose 6*i - 3*f = 4*i - 37, 5*f + 30 = -5*i. Let n(j) = -j**3 - 11*j**2 - j + 6. What is the remainder when n(i) is divided by 4?
1
Suppose -o - 160 = -5*o. What is the remainder when 78 is divided by o?
38
Suppose -20 = -6*b + 2*b. Calculate the remainder when 6 is divided by b.
1
Suppose -y = -5 - 4. Let w(c) = 2*c**2 + 3*c - 1. What is the remainder when w(-5) is divided by y?
7
Let i(k) = -9*k**2 + 20*k - 6. Let w(m) = -4*m**2 + 10*m - 3. Let a(b) = 3*i(b) - 7*w(b). What is the remainder when 7 is divided by a(10)?
1
Let g = -23 + 37. What is the remainder when 55 is divided by g?
13
Let m(r) = -5*r - 20. What is the remainder when 73 is divided by m(-9)?
23
Let u(z) = -z**2 - 12*z + 3. What is the remainder when u(-7) is divided by 10?
8
Let g be 1*-1 - (-4 - -10). Let n = g + 10. Suppose -4*o = -5 + 1, 0 = 2*q + o - 5. What is the remainder when n is divided by q?
1
Let a(g) = -g + 11. Calculate the remainder when a(9) is divided by 1.
0
Let o be 0/((-2)/(-1) + -1). Suppose 3*x = 1 + 14. Suppose n - 1 - x = o. Calculate the remainder when 16 is divided by n.
4
Suppose 4*l = l + 45. Let t = l + 7. What is the remainder when t is divided by 8?
6
Calculate the remainder when 21 is divided by ((-3)/2)/((-3)/(-24)*-2).
3
Suppose 57 - 3 = 2*d. Suppose m + 0 = 10. What is the remainder when d is divided by m?
7
What is the remainder when (-812)/(-16) + 3/12 is divided by 13?
12
Suppose 0 = -l - 4, -2*b - 7*l + 172 = -11*l. What is the remainder when b is divided by 27?
24
Suppose 0 = -5*u + 15, 4*l + 2*u = -0*l + 154. Let s = l + -26. Let b = s + 5. Calculate the remainder when 47 is divided by b.
15
Suppose 0 = -h - 4, 3*k + h = 5 + 3. What is the remainder when 39*k*1/4 is divided by 8?
7
Let n = 0 + 3. Let s(u) = u**2 - 13*u - 133. What is the remainder when s(-7) is divided by n?
1
Calculate the remainder when 2/(((-4)/(-6))/2) is divided by 4.
2
Suppose 6*f = 4*f + 2*o, f - 3*o + 4 = 0. Suppose -f*g = -0*g - 100. Suppose g = -b + 6*b. What is the remainder when 18 is divided by b?
8
Suppose 5*x - 2*l - 17 = 18, 4*l + 7 = x. Suppose 0 = 5*a - 20, -16 = -3*j - 4*a + 3*a. Suppose -j*w + 44 = -36. What is the remainder when w is divided by x?
6
Suppose 5*o = o - 3*u + 37, -5*u - 64 = -3*o. Let r = o + 2. Calculate the remainder when 58 is divided by r.
13
Let n = -8 - -17. Let t(s) = -3*s + 4. Let x be t(-7). What is the remainder when (x/(-3))/(2/(-6)) is divided by n?
7
Suppose 3*h + 2*h = -50. Calculate the remainder when 19 is divided by (-4)/(h/6 - -1).
1
Suppose 0 = -2*g - 0 + 6. Suppose -2*k - 3*o - 7 = 2*k, -5*k - 5 = g*o. Suppose -3*w = -50 + k. What is the remainder when w is divided by 9?
7
Let u be 4/(-6) + (-49)/3. Let g = -7 - u. Calculate the remainder when 37 is divided by g.
7
Let b = -16 + 24. Calculate the remainder when 29 is divided by b.
5
Suppose -3*x - 2*q = -3, x + 1 = -2*q + 2. Let y(h) = -h**3 - 2*h**2 + 2*h - 2. Let c = -5 - -2. What is the remainder when x is divided by y(c)?
0
Let a(m) be the third derivative of m**4/24 + 7*m**3/2 + 2*m**2. What is the remainder when 61 is divided by a(10)?
30
Let w = 1 - 6. Let m = 84 - w. Calculate the remainder when m is divided by 23.
20
Let h = -14 - -32. Let r(g) = g + 4. Let l be r(-2). Suppose 2*y - 100 = 3*m, 2*m = -l*m + 8. What is the remainder when y is divided by h?
17
Let b = -57 + 85. Let t = b + -6. Calculate the remainder when t is divided by 12.
10
Calculate the remainder when 3660/36 + (-2)/(-6) is divided by 26.
24
Let s = -16 - -27. Calculate the remainder when 42 is divided by s.
9