*i + t, 2*i + 2*i = -5*t + 24. Calculate the remainder when i is divided by 2.
1
Let q = 10 - 2. Suppose -41 = -r + 2*o, -4*o - 24 + q = 0. Calculate the remainder when r is divided by 9.
6
Calculate the remainder when 40 is divided by (-21)/((-5)/(10/3)).
12
Suppose i = 6*i - 45. Calculate the remainder when 33 is divided by i.
6
Let k = 11 + 5. What is the remainder when 63 is divided by k?
15
Let j(m) = -2*m. Let y be j(-2). Suppose 2*v = y*v. Let c(a) = -a**3 + a + 8. Calculate the remainder when 31 is divided by c(v).
7
Let m(k) = -17*k**3 - 12 + 11 + 4*k - 5*k. Let j(n) = n**3 - 6*n**2 + 8*n - 6. What is the remainder when m(-1) is divided by j(5)?
8
Let t = 30 + -28. Let o be ((-3)/(-5))/((-3)/(-15)). Suppose o*d = -0*d + 12. Calculate the remainder when d is divided by t.
0
Suppose 17 = 4*n + 5. Suppose 17 = 2*y - n*t, t + t + 30 = 4*y. Suppose -3*b - 60 = -y*b. Calculate the remainder when 29 is divided by b.
14
Let c be (-12)/((-6)/8 - 0). Suppose 4*j - c - 36 = 0. What is the remainder when 37 is divided by j?
11
Let y be (0 - -1)*(1 - 1). Suppose 3*s + 20 = -5*r, y*s + 2*r + 8 = 4*s. Calculate the remainder when (-165)/(-5) + (s - -1) is divided by 12.
10
Suppose 0 = o + 5*f + 7, o - 64 + 26 = 4*f. Suppose -3*s = -0*s - o. Calculate the remainder when 17 is divided by s.
5
Suppose -13 = -3*l - p, -12 = -2*l + p + 5. Calculate the remainder when 14 is divided by l.
2
Suppose -3*p + 25 = 2*p. What is the remainder when 12 is divided by p?
2
Let r(s) = 5*s - 1. What is the remainder when 2/(-9) - 2772/(-81) is divided by r(2)?
7
Suppose 7*j - 5*j = 90. Suppose -f - 4 = 0, 5*n - 2*f - j = 3*f. What is the remainder when (-2)/6 + 55/3 is divided by n?
3
Let d be (-1*93)/(-3) - -1. Let l = d + -6. What is the remainder when l is divided by 7?
5
Let k = -7 - -21. What is the remainder when k is divided by 1 + 6 - (-12 + 14)?
4
Let t(d) = -d**2 - 6*d - 5. Let z be t(-4). Suppose -2*k = z*k - 175. Calculate the remainder when k is divided by 12.
11
Calculate the remainder when -46*((-1)/((-8)/12) + -3) is divided by 37.
32
Let d(p) = 11*p + 12. Calculate the remainder when d(7) is divided by 18.
17
Suppose 15 + 47 = 5*i - 2*m, 26 = 2*i - 2*m. Let l be ((-4)/(-10))/(3/(-60)). Let z = -1 - l. What is the remainder when i is divided by z?
5
Let s = 19 - -12. Let x(l) = l**3 + 4*l**2 + 2*l - 3. Let n be x(-3). Suppose n = 4*u + 12 - 56. Calculate the remainder when s is divided by u.
9
Let a(m) be the third derivative of m**5/60 + m**4/8 - 2*m**3/3 + 4*m**2. Calculate the remainder when 16 is divided by a(-5).
4
Let z(f) = f**3 - 7*f**2 + 2*f + 2. Suppose 7 = -5*o - 3*u, -o + 4*o - 2*u = 11. Suppose -m + 7 = o. Calculate the remainder when z(7) is divided by m.
4
Let x = -1 + 28. Let g be (12/21)/((-6)/(-21)). Suppose 0 = -3*c + f + 44, 2 + g = -2*f. What is the remainder when x is divided by c?
13
Let m(r) = 6. Let y be 1/3 + 68/(-6). Let a(w) = w + 30. Let n(d) = y*m(d) + 2*a(d). Calculate the remainder when n(5) is divided by 2.
0
Let s be 0 + (-1)/((-3)/18). Suppose -s = 3*f - 4*f. Let b = -6 - -15. Calculate the remainder when b is divided by f.
3
What is the remainder when 16 is divided by 78/14 + (-24)/(-56)?
4
Let o = -30 - -21. Let k(q) = -3*q + 10. Calculate the remainder when k(o) is divided by 8.
5
Let t(x) = x**2 - 3*x + 4. Let o be t(5). What is the remainder when 55 is divided by 54/4 + 7/o?
13
Suppose 0*c + 2*a + 16 = -5*c, -5*a - 19 = 2*c. Let z = c - -5. What is the remainder when z is divided by 2?
1
Suppose 6*t - 8*t - 8 = 0. Let r be (-6)/t*24/9. Suppose p = r*p - 96. What is the remainder when p is divided by 17?
15
Suppose 23*k - 76 = 19*k. What is the remainder when 55 is divided by k?
17
Suppose 3*t = -12 + 42. Let i(l) = -l**3 - 5*l**2 - 9*l - 16. What is the remainder when i(-5) is divided by t?
9
Suppose 2*c - 35 = -3*s - 12, -3*s - 5 = -2*c. Suppose 0 = -4*h - 4, 0 = -u + 3*h - 17 + 79. Let p = u - 39. What is the remainder when p is divided by c?
6
Suppose -f = -3*c - 10, -2*f + c + 10 = -5. Suppose -3 + f = -g, o - 14 = g. What is the remainder when 39 is divided by o?
9
Let d(p) = 2*p + 3 - p + 9 - 2. Let v be d(-5). Let q(l) = -l**3 + 6*l**2 - 4*l. Calculate the remainder when q(v) is divided by 2.
1
Suppose 2*o = 2, -2*o + 4*o + 26 = 4*t. Suppose -3*n = h - t*n, 5*n + 33 = 4*h. Calculate the remainder when (70/(-8))/((-2)/8) is divided by h.
11
What is the remainder when 63 is divided by (6/8 - -2)/((-5)/(-60))?
30
Suppose 7*o - 4 = 3. What is the remainder when 5 is divided by o?
0
Suppose -4*k - 25 = k, 4*x = 3*k + 7. Let n = x - -14. Calculate the remainder when 46 is divided by n.
10
Let w(j) = j**2 + 4*j - 3. Let m = 7 - -3. Calculate the remainder when w(4) is divided by m.
9
Suppose 5*k + 31 = 5*w - 139, -w + 64 = 5*k. Suppose -2*g = 0, 4*i - 2*g = -3*g + 80. Calculate the remainder when w is divided by i.
19
Let y = -5 + 9. What is the remainder when 10 is divided by y?
2
Let g be -1 - (-3)/3*1. Suppose 3*l + 4*r - 33 = 0, g = -2*r - 0 - 6. Calculate the remainder when l is divided by 8.
7
Suppose -25*u + 20*u + 275 = 0. Calculate the remainder when u is divided by 14.
13
Let i(m) = 3*m - 6. Let k be i(-7). What is the remainder when 26 is divided by (-8)/(-12)*k/(-2)?
8
Suppose -3*y + 3*b + 33 = 0, -2*b - 13 = -3*y + 17. What is the remainder when 26 - (0 - -3)/3 is divided by 1*(-3 + y*2)?
12
Suppose -5*c = -39 - 1. Suppose 5 = -z, -4*z - 96 = -5*g - 11. Suppose 2*d = d + g. Calculate the remainder when d is divided by c.
5
Calculate the remainder when (-2 - -5)*(-49)/(-3) is divided by 26.
23
Suppose 0 = 3*p - 2*t + t - 20, 3*p + 5*t + 10 = 0. Suppose 2*j = -2*j + 5*g + 73, 40 = 5*j + 4*g. Calculate the remainder when j is divided by p.
2
Let q = 2 - 4. Let p be (-1)/q + (-334)/(-4). Suppose -3*g + p = 2*s, -s - 40 + 157 = 4*g. What is the remainder when g is divided by 8?
6
Suppose 984 = 5*f - i, i = 5*i + 16. What is the remainder when f is divided by 66?
64
Suppose 0 = -5*g + 3*n + 88, -8*n = -5*g - 4*n + 84. Calculate the remainder when 98 is divided by g.
18
Suppose -4*y - 16 = 0, -4*u - 4*y = -6*y - 84. Calculate the remainder when 75 is divided by u.
18
Let p(l) = 13*l + 2. What is the remainder when p(7) is divided by 32?
29
Let t(x) = 13*x + 1. Let b be t(-2). Let z = b + 29. What is the remainder when 19 is divided by z?
3
Suppose 3 = 3*c - 9. Suppose y = -5*n + 23, -c*y + 26 = 4*n - 7*y. Let i = -346 - -349. What is the remainder when n is divided by i?
2
Suppose 13 = d + 3. Let x(l) = 5*l - 4. Let n(q) = q**2 - 6*q + 5. Let h(c) = 6*n(c) + 7*x(c). Calculate the remainder when h(-2) is divided by d.
8
Suppose 12 = -c - 4*r, 0 = 3*c + 3*r - 13 + 4. Calculate the remainder when 8 is divided by c.
0
Suppose 6 = 6*o - 60. Calculate the remainder when o is divided by 6/4*8/3.
3
Suppose 7*w - 92 - 286 = 0. What is the remainder when w is divided by 30?
24
Let g(n) = 9*n**2 + n. Let j = -1 - 1. What is the remainder when g(j) is divided by 12?
10
Suppose -5*m = -2*s, s + 9 = 3*m - 2*s. Let h = m + 25. What is the remainder when 67 is divided by h?
21
Suppose -2 = -2*j - 4*f, -4*j - 3*f = j - 40. Calculate the remainder when j is divided by (57/38)/((-3)/(-14)).
4
Let i = 1 + -3. Suppose g = 4*g - 42. What is the remainder when g is divided by 2*(i - (-27)/6)?
4
Let h be -8 - -5 - (-3)/1. Suppose h = 3*p - 59 - 52. What is the remainder when p is divided by 13?
11
Calculate the remainder when 46 is divided by -12*((-20)/6 + 2).
14
Suppose -5*x + 114 = 19. Calculate the remainder when 49 is divided by x.
11
Suppose 0*h = 2*h. Suppose h*u + u - 29 = 0. Let o = 11 - 1. What is the remainder when u is divided by o?
9
Let i be 2/7 - (-957)/7. Let d = 89 - i. Let n = -34 - d. What is the remainder when 27 is divided by n?
13
Suppose 5*p + 5 = h + h, h - 3*p = 2. Let i = 10 - h. What is the remainder when 11 is divided by ((-8)/i)/((-2)/5)?
3
Let x = 30 + -15. What is the remainder when 72 is divided by x?
12
Let x(k) = k**2 - k. Let r be x(1). Suppose -5*z + 65 = -r*z. What is the remainder when 23 is divided by z?
10
Suppose -4*h - 2 = t, 2 = -t - 0. Suppose 0 = -h*q - 3*q + 33. What is the remainder when ((-12)/(-3))/((-1)/(-5)) is divided by q?
9
Suppose 3*o + 10 = 5*o. Suppose 4*y - 22 = -4*u +