- 6*q + 53 = p*w. Suppose -n + 2*n = 21. What is the remainder when n is divided by q?
10
Suppose 0 = -4*o + 6*o - 40. What is the remainder when o is divided by 7?
6
Suppose 2 = 2*j - 4*r, 3 = -3*j + r + 2*r. Let s be ((-6)/(-4))/((-3)/(-8)). Let a = j + s. What is the remainder when 1 is divided by a?
0
Suppose 63 = -5*f + 2*f. Let y = f - -57. Suppose -y = -2*p + 14. Calculate the remainder when p is divided by 7.
4
Suppose -k - 1290 = -6*k - 4*i, 4*k - 1033 = -3*i. What is the remainder when k is divided by 44?
42
Suppose 0 = 4*y + 4*x + 12, 2*y + 5*x + 1 = 4*y. Let r be (y + 0)*(-8)/4. Suppose 2*m - 3 + 9 = 0, v + r*m = -9. What is the remainder when 10 is divided by v?
1
Suppose -4*u = u - 75. Let b be (-16)/(-6)*3/2. Let o(y) = y**3 - 3*y + 6. Calculate the remainder when o(b) is divided by u.
13
Suppose 0 = -v + 5. Suppose 3*l - 28 = v. Suppose -4*w - 5*a + 65 = -2*a, -4*a - 120 = -5*w. What is the remainder when w is divided by l?
9
Let i(o) = 2*o**2 - 16*o - 27. What is the remainder when 50 is divided by i(10)?
11
Let r = 14 + -4. Let j = r - 5. Suppose 2*h + l = 26, -2*h - 2*l + 10 = -14. Calculate the remainder when h is divided by j.
4
Suppose -3*r + 66 = 5*u + r, 50 = 3*u + 5*r. Calculate the remainder when 18 is divided by u.
8
Let x(u) = -u**3 - 8*u**2 - 4*u - 11. Let p be -8 + (-2 - 6/(-3)). What is the remainder when x(p) is divided by 12?
9
Let h be 3 - 3 - (3 + -1). Let a = h - -7. Suppose -2*t + a*t - 87 = 0. What is the remainder when t is divided by 10?
9
Let f be 2/(-6) - (-13)/3. Suppose 2*g - 5 - 39 = 0. Suppose -f = 3*m - g. What is the remainder when m is divided by 4?
2
Let j = -53 + 79. What is the remainder when j is divided by 14?
12
Suppose 3*z = 2*z - a + 6, a = z - 6. Let m be 5 - (2 - 0) - 0. Suppose 2*p + 37 = 4*p - m*x, -4*p + 69 = -5*x. Calculate the remainder when p is divided by z.
5
What is the remainder when 82 is divided by (-1)/8 - (3 - (-411)/(-24))?
12
Suppose -2*c + 29 + 15 = 0. Suppose -2*x + c = -38. Calculate the remainder when x is divided by 16.
14
Suppose 2*s + 4 - 8 = 0. Let i = 23 + s. Suppose 2*t = -3*t + i. Calculate the remainder when 8 is divided by t.
3
Suppose 0 = -5*a - 34 + 114. What is the remainder when (-94)/(-2)*(-3 + 4) is divided by a?
15
What is the remainder when 30 is divided by -1 - 81/(-99) - 123/(-11)?
8
Let g(i) = -i**3 + 7*i**2 + 18*i + 3. What is the remainder when 22 is divided by g(9)?
1
Let i(r) = -r**2 - 5*r + 4. What is the remainder when 17 is divided by i(-3)?
7
Suppose -4*q = 3*k + 137, -5*q + 69 = 4*k + 241. What is the remainder when ((-5)/4)/((-3)/12) is divided by 4/(-14) - q/14?
1
Suppose -2*h = -5*q - 214, -2*h = -4*q - 84 - 134. Suppose -h = -4*m + m. Let b(y) = -9*y**3 + y**2 - y - 1. Calculate the remainder when m is divided by b(-1).
9
Suppose 3*d - 14 - 16 = 0. Let f = 17 - d. Calculate the remainder when 124/6 + 2/(-3) is divided by f.
6
Let l(m) = -3 - 1 - 2*m + 3 + 11*m. What is the remainder when l(6) is divided by 14?
11
Suppose -4 + 2 = -h. Let a(r) = 4*r**2 - r - 1. What is the remainder when a(h) is divided by (10/2)/(2 + -1)?
3
Calculate the remainder when 44 is divided by 14 + (3*(-8)/12)/(-2).
14
Suppose 4*a = -12, 7*d = 2*d + 3*a + 214. Suppose -2*o + 3*z + d = 0, o = -3*z + 20 + 5. Calculate the remainder when 63 is divided by o.
19
Let o(r) = -r**3 - 3*r**2 - r + 4. Let k be o(-4). Suppose -3*q - k = q. What is the remainder when 9/q*(-164)/6 is divided by 14?
13
Let l = 84 - 56. Calculate the remainder when l is divided by 11.
6
Suppose i - 4*i = -15. Let x = -11 + 26. Let k = -6 + x. What is the remainder when k is divided by i?
4
What is the remainder when ((-20)/14)/(8/(-112)) is divided by (-70)/(-9) + (-2)/(-9)?
4
Let s = -4 - -31. Let l = 49 - s. Calculate the remainder when 43 is divided by l.
21
Let t = -32 - -52. What is the remainder when 99 is divided by t?
19
Suppose 0 = -c - 2*g, -3*g - 1 = 11. Let y(m) be the third derivative of m**5/60 - m**4/4 - m**3/3 - 2*m**2. Calculate the remainder when y(c) is divided by 5.
4
Let i = -34 - -58. What is the remainder when 47 is divided by i?
23
Let j = -46 - -65. Calculate the remainder when j is divided by 5.
4
What is the remainder when 46 is divided by (-1 - -12) + -1 + -2?
6
Suppose -5*g - 14 + 4 = 0, g - 28 = -3*a. Suppose 7 = w - 32. What is the remainder when w is divided by a?
9
Let j(c) = c**3 - 6*c**2 + 5*c. Let l be j(5). Suppose l = 2*s - 12 - 8. What is the remainder when 18 is divided by s?
8
Suppose -3*o + 15 = 2*o. Calculate the remainder when 6 is divided by o.
0
Let x(c) = c**2 + 6*c + 4. Let z be x(-6). Let s = 8 - z. Suppose s*p + 18 = 5*a + 3, -2*a = -5*p - 6. What is the remainder when 9 is divided by a?
0
Let y = 43 + 16. Let g(h) = 3*h - 4. Let z(u) = u - 1. Let b(i) = 4*g(i) - 18*z(i). Calculate the remainder when y is divided by b(-3).
19
Let d(j) = -j + 7. Let t be d(5). Suppose t*i + 3*n = 65, -5*n - 25 = -5*i + 3*i. Suppose 0 = 7*o - 48 - 15. Calculate the remainder when i is divided by o.
7
Suppose 4*v = -2*i + 4 + 2, -4*i + 12 = 0. Suppose v = 2*o + 2*o - 56. What is the remainder when 25 is divided by o?
11
Let u = 26 - 18. Calculate the remainder when 10 is divided by u.
2
Let f = -23 - -29. What is the remainder when 23 is divided by f?
5
Let p(z) = z**2 + 10*z + 16. What is the remainder when 105 is divided by p(-11)?
24
Let q(h) be the second derivative of 7/12*h**4 - 1/3*h**3 + 0 + 2*h - 1/2*h**2. Calculate the remainder when 14 is divided by q(-1).
6
Let g(d) = 3 - d + 2 + 3 - 2. Let q be g(6). Suppose 4*v + 6 - 110 = q. What is the remainder when v is divided by 9?
8
Suppose y = 5*h + 23, 5*h - h + 28 = 4*y. Suppose -y*k = -0*k + 3*x + 6, 3*k + 5*x + 6 = 0. Calculate the remainder when 3 is divided by (k - -3)/((-1)/(-2)).
1
Suppose -5*m = -42 - 103. Let n(q) = 3*q - 9. Let p be n(6). Suppose -s + 1 + p = 0. What is the remainder when m is divided by s?
9
Suppose -19 = -3*a + 17. What is the remainder when 57 is divided by a?
9
Let h(d) = -50*d**2 - 10*d + 1. Let x(t) = -17*t**2 - 3*t. Let b(w) = 2*h(w) - 7*x(w). What is the remainder when b(2) is divided by 27?
26
Let n = 39 + 22. Calculate the remainder when n is divided by 16.
13
Suppose 2*c - c + v = 5, -3*c - v + 9 = 0. What is the remainder when ((-8)/6 - -1)*-21 is divided by (-1)/(21/12 - c)?
3
Let w(n) be the second derivative of n**4/12 + n**3/6 - 5*n**2/2 - n. Let u be w(-7). Let k = -25 + u. Calculate the remainder when 22 is divided by k.
10
Let i(g) = -g**3 + 3*g + 3. Let o be i(-2). Suppose -2*n = o*y - 29, -2*n - 2*y = 3*n - 41. Calculate the remainder when 27 is divided by n.
6
Let d(f) = f**2 - 4*f - 6. Suppose 4*x - 21 - 3 = 0. Let a = 12 + 5. What is the remainder when a is divided by d(x)?
5
Suppose -s + 2*s - 51 = -2*l, 2*s - l = 97. Let i = 6 + -4. Calculate the remainder when s is divided by 33/i + (-3)/(-6).
15
Let s = -16 + 26. Calculate the remainder when 17 is divided by s.
7
Let r(t) = 4*t**3 - 2*t**2 - t - 1. Let q be ((-5)/(-10))/((-3)/(-540)). Suppose 4*o = 334 - q. What is the remainder when o is divided by r(2)?
19
Let d(i) = i + 10. Calculate the remainder when 1/3*-1*-123 is divided by d(11).
20
Calculate the remainder when 14 is divided by (-4 - (-2)/2) + 12.
5
Let t(k) = -3*k - 5. What is the remainder when 11 is divided by t(-3)?
3
Let m = 70 + -42. What is the remainder when 53 is divided by m?
25
Let m = -4 + 8. Let y(r) = r**3 + 3*r**2 - 6*r - 6. Let n be y(-4). Suppose -3*g + n + 4 = 0. Calculate the remainder when m is divided by g.
0
Suppose -d - 3*d = 0. Let z(o) = -o + 3. Calculate the remainder when 10 is divided by z(d).
1
Suppose -4*r = -5*y - 269, 2*y + 85 + 108 = 3*r. Calculate the remainder when r is divided by 16.
13
Let q(a) = -a + 23. What is the remainder when 29 is divided by q(7)?
13
Suppose 3*g - 5*g = 0. Suppose g = -2*t - 10, 4*x - 4*t = -t + 51. Suppose -7*u = -33 - 79. Calculate the remainder when u is divided by x.
7
Let f = 131 - 81. What is the remainder when 97 is divided by f?
47
Let o = 13 - 6. Suppose -o*k + 45 = -2*k. Calculate the remainder when 35 is divided by k.
8
Suppose 4*o = -2 - 6. Let g(y) = -13*y. Let q be g(o). Suppose -k + q = -8. What is the remainder when k is divided by 12?
10
Let m be 2/((-6)/(-81) 