 the remainder when 7 is divided by n.
3
Let y(s) = 4*s**2 + 3*s + 2. Let x be y(4). Suppose -o + 5*n + 15 = -32, 2*n - x = -4*o. What is the remainder when 43 is divided by o?
21
What is the remainder when (-868)/(-49) + 2/7 is divided by 6?
0
Let a = 16 + -6. Calculate the remainder when 39 is divided by a.
9
Let g be 3/(-18) + (-89)/6. Suppose 4*w = -3*n - 0 - 8, 5*n - 35 = 3*w. Let m = w - g. What is the remainder when 39 is divided by m?
9
What is the remainder when 93 is divided by 14/(-2 - -3) + 2?
13
Suppose o - 16 - 2 = 0. What is the remainder when 71 is divided by o?
17
Suppose 6*j - 5*j - 37 = 5*l, 104 = 5*j + 2*l. Calculate the remainder when 87 is divided by j.
21
Let i(u) = u**3 - 3. Suppose 0*o + o + 1 = 0. Calculate the remainder when i(2) is divided by 4 - o/2*-4.
1
Let a(p) be the first derivative of -p**3/3 + 4*p**2 - 4*p - 3. What is the remainder when 38 is divided by a(6)?
6
Let i(v) = v**3 + 8*v**2 + 5. Suppose -6*c + 90 = -c. Calculate the remainder when c is divided by i(-8).
3
Let q = -3 + 8. Suppose q*b = 5*s + 60, -2*b = -3*b - 4*s - 8. Suppose -15 - 5 = -4*h. What is the remainder when b is divided by h?
3
Suppose -f + 2*g = 25, 7*f - g + 116 = 2*f. Let z = -21 - f. What is the remainder when 3 is divided by z?
1
Suppose -5*v = 2*q - 101, 4*v - 43 - 51 = 5*q. Suppose 0 = -3*d + v - 6. Suppose 3*h + d = 50. What is the remainder when 57 is divided by h?
12
Suppose k + 2*w = -0*w + 41, -3*k = 2*w - 103. Calculate the remainder when k is divided by 8.
7
Suppose -n = -5*n + 20, -5*d - 5*n + 70 = 0. Let r(j) = -j**2 - 11*j - 10. Let t be r(-7). Calculate the remainder when 3/(-3)*1 + t is divided by d.
8
Let z = -61 - -77. Calculate the remainder when 79 is divided by z.
15
Let a = -19 - -31. Calculate the remainder when 11 is divided by (4/a)/((-1)/(-9)).
2
Suppose y + 0 - 19 = 0. Let a be -6 + 3 - 373/(-1). Suppose a = 5*m - 5*f, -5*m + 369 = -0*m - 4*f. Calculate the remainder when m is divided by y.
16
Let b(t) = -3*t**2 + 14*t - 5. Calculate the remainder when 33 is divided by b(3).
3
Suppose 2*f + 8 = -0*n + 2*n, 0 = 4*f - 4. Calculate the remainder when 32 is divided by n.
2
Suppose 9 = 3*t, 4*t = 5*m - t. Suppose 5*p - 5*l = 50, -m*l + 3 = -6*l. Calculate the remainder when 34 is divided by p.
7
Let x(u) = -u**2 + 156. Let m(l) = l**2 + 3*l - 4. Let r be m(-4). Let z be x(r). Suppose -2*k + 4*k = z. Calculate the remainder when k is divided by 20.
18
Suppose -3*r = 3*v - 27, 0 = -3*v + v + r + 30. Suppose 19*p = 9 + 86. Calculate the remainder when v is divided by p.
3
Let f = -11 - -39. Suppose 3*r + f - 1 = 2*q, 4*r = -5*q + 102. Calculate the remainder when q is divided by 10.
8
Let a(b) = -b**2 + 6*b. Let s be a(6). Suppose g + 3*g - 116 = s. Calculate the remainder when g is divided by 10.
9
Let m = -26 + 16. Let c = m - -18. Calculate the remainder when 22 is divided by c.
6
Let x be (-8)/4*2/4. Let h = 2 + x. Suppose 2*d = h + 35. Calculate the remainder when 52 is divided by d.
16
Suppose -7*k - 11 = -8*k. Calculate the remainder when 20 is divided by k.
9
What is the remainder when 3/(-2)*(-138)/3 is divided by 14?
13
Let q = 30 - 11. Let y = -95 - -151. What is the remainder when y is divided by q?
18
Suppose -5*y = 3*c + 21, -3*y = 5*c - 2*y + 35. Let h = 19 + c. What is the remainder when 46 is divided by h?
10
Let f(n) = 2*n + 10. Calculate the remainder when 12 is divided by f(-3).
0
Let s(j) = -j**2 + 5*j - 3. Let p be s(3). Let v = 1 + 2. Suppose 0 = -2*a - 0*i - 3*i + 19, p*a = -v*i + 36. Calculate the remainder when 49 is divided by a.
15
Let s be 1/(-2)*0/6. What is the remainder when 14*-2*2/(-8) is divided by ((-6)/(s - -2))/(-1)?
1
Suppose 7*l + 6 = 76. Suppose -4*b = b - 195. Calculate the remainder when b is divided by l.
9
Let f(c) be the second derivative of -c**5/20 + c**4/3 + c**3/6 + 7*c. Suppose -16 = -5*l + l. Calculate the remainder when 11 is divided by f(l).
3
Let l be (-3 - 2)/((-4)/12). Suppose -n + u - 5*u - 4 = 0, -4*u = 4*n + 16. Let i = l + n. What is the remainder when i is divided by 6?
5
Let m(l) = 8*l**2 + 2*l + 1. Suppose 2*c = -c + 30. What is the remainder when m(-1) is divided by c/(-4)*16/(-10)?
3
Let f be 2 + -1 - 0 - -151. Suppose 4*j + 44 = f. Suppose 3*q - 79 = -5*t, 4*q = 5*t - 13 - 45. What is the remainder when j is divided by t?
13
Let s(z) = -z**3 + 7*z**2 - 5*z - 6. Let l be s(5). Let y = 32 - l. Calculate the remainder when y is divided by 7.
6
Suppose -2*y - 4 = 14. Let q be (-12)/y*(4 - 1). Suppose -q = -t + 8. Calculate the remainder when 35 is divided by t.
11
Suppose 0 = 3*k - 7*k + 152. What is the remainder when k is divided by 20?
18
Suppose 0 = 2*r - 20 - 0. Suppose 2*v - 81 = -3*o, 2*o = 2*v - 5*v + 109. Let t = 51 - v. What is the remainder when t is divided by r?
8
Let y(g) = -g**3 - 7*g**2 - 6*g. Let x be y(-6). Suppose x = -4*s + 16, -65 = -t - 4*s. Calculate the remainder when t is divided by 13.
10
Suppose 0 = -2*g - 0*g + 6. Suppose 5*x - u = 75, g*u - 54 = -3*x - 9. Calculate the remainder when 58 is divided by x.
13
Let t = 12 - -10. Suppose 2*f = -5*o + t, 2*o = -3*f + 3*o - 1. What is the remainder when f is divided by 1?
0
Let l = 12 + -4. What is the remainder when 21 is divided by l?
5
Suppose -4*a - 3*j = -154, -4*j = 2*a - 5*a + 128. What is the remainder when a is divided by 2/(-4) - 58/(-4)?
12
Calculate the remainder when 20 is divided by (3 + -4)/((-2)/14).
6
Let j(f) = f**2 - 5*f - 9. Let l(s) = -s. Let t be l(-7). Let o be j(t). Let y = o - 2. Calculate the remainder when 4 is divided by y.
1
Let p(x) = -3 - x**3 + 3 + 2*x + 4*x**2. Let d = -25 - -28. Calculate the remainder when p(d) is divided by 6.
3
Suppose -5*s = -9*s + 196. What is the remainder when s is divided by 13?
10
Let p(y) = y**3 + y**2 + y + 38. Suppose -3*x + 8 = 2*r - x, -2*r + 4*x + 32 = 0. Calculate the remainder when p(0) is divided by r.
6
Suppose -5*y - 9 = -2*o, -2*o + 2*y + 19 = 7*y. What is the remainder when 20 is divided by o?
6
Suppose -16 = -4*y + 4. Calculate the remainder when y is divided by 2.
1
Suppose -2*f + 3*f - 19 = 0. Let k be (-2)/(-7) - (-108)/14. What is the remainder when (110/k)/(2/8) is divided by f?
17
Suppose -5*p = 5*j - 180, 5*p = 5*j - 0*j - 210. What is the remainder when j is divided by (-21 - 0)/((-3)/2)?
11
Let b be (-2 - -2)*2/4. Suppose 0*i - 2*i + 8 = b. Suppose -2*t + 8 = 4*l - 0, i*t = l + 52. What is the remainder when 34 is divided by t?
10
Let k(f) = 4*f**3 - f**2 - 2*f - 1. Let w be k(-1). Let c = w + 14. Calculate the remainder when 18 is divided by c.
8
Suppose f = -3*f + 292. What is the remainder when f is divided by 19?
16
Suppose -289 = -2*j + 9*d - 4*d, 2*d + 6 = 0. What is the remainder when j is divided by 28?
25
Let a = 15 + 56. What is the remainder when a is divided by 12?
11
Suppose -5*t - 2*b + 66 = 18, 0 = t - 2*b. What is the remainder when -9*((-48)/9 - -2) is divided by t?
6
Suppose -v + 2*v - 3*s = 46, -4 = s. What is the remainder when 100 is divided by v?
32
Let v be 1/4 - 2/8. Let n = 3 + v. What is the remainder when 8 is divided by n?
2
Let r = 0 + 2. Suppose -56 = -2*x - 5*n, r*x + 5*n - 40 = 4*n. Suppose 0 = -4*g + g + x. Calculate the remainder when 16 is divided by g.
4
Let f(z) = z**3 - 6*z**2 - z + 8. Let p be f(6). What is the remainder when 8 is divided by 3/(p + 1)*3?
2
Suppose 0*p + 3*z + 15 = p, -4*p + 60 = 3*z. Suppose 336 = 2*c + 6*c. Calculate the remainder when c is divided by p.
12
Calculate the remainder when 192/10 + (-3)/15 is divided by 11/(3 + (-2 - 0)).
8
Suppose 3*j = -2*j + 20. Suppose -q = -4*s - 5, 2*s = -s - j*q + 20. Let w = 2 - s. What is the remainder when 7 is divided by w?
1
Let u be (2/3)/(2/6). Suppose 4*g - c = 137, 2*c + u*c = -4*g + 152. What is the remainder when g is divided by (-3 - (-21)/6)*24?
11
Let x(r) = 6*r + 8. Let k be x(-7). Let p be k/(0 + (-1 - 0)). Let s = p - 18. What is the remainder when s is divided by 9?
7
Let c be (-4 - 2)*(-1)/2. Suppose 0 = -c*k - 2*h + 11 + 6, 4*k + h = 26. Calculate the remainder when k is divided by 4.
3
Let r(b) = -24*b + 1. Let y = 3 - 4. Let p(k) = k**2 - 2*k - 6. Calculate the remainder when r(y) is divided by p(5).
7
Suppose 0 = -3*l - 4*i + 91 - 35, l - 37 = -5*i. Calculate the remainder when 22