e (2 - 1)*-3*-1. What is the remainder when i(12) is divided by 3/(-9) - (-25)/s?
6
Let s(t) = 44*t - 17. Suppose 4*g = -3*q + 66, 28 = g - q - 4*q. What is the remainder when s(2) is divided by g?
17
Suppose 5*w + 6 = y, -3 = 4*w - 2*y + 3. Let v(n) = -28*n**3 + n + 1. Suppose m + 0*m = 15. What is the remainder when v(w) is divided by m?
13
Let p be (-6)/(-15) + 32/(-5). Let x = -4 - p. Suppose 6*n + 10 = n, 2 = x*i + 5*n. Calculate the remainder when i is divided by 4.
2
Suppose -3*i - 3 = -5*q - 2*i, 0 = 2*q + 2*i - 6. Let h be (q - (-3 - -2)) + 15. Let c = h - -2. What is the remainder when c is divided by 7?
5
Let b be (-12)/(-1 + -2) + -1. Suppose h = b*h - 20. What is the remainder when h is divided by 6?
4
Let m = -55 + 83. What is the remainder when 81 is divided by m?
25
Suppose 0 = -j + 5*n + 64, -157 = -2*j - 2*n - 53. What is the remainder when j is divided by ((-12)/(-2))/18 - 41/(-3)?
12
Calculate the remainder when 181 + 3 + (-2 - 4) is divided by 12.
10
Suppose -5*l + 5*m + 71 = -64, 0 = -m - 2. Calculate the remainder when 98 is divided by l.
23
Let a(g) = 3*g. Let x be a(10). Suppose -h + x = 2*h. Suppose w + 0*w - h = 0. Calculate the remainder when w is divided by 6.
4
What is the remainder when (2 + 0 - 38)*4/(-8) is divided by 4?
2
Let b = -6 + 11. Suppose b*s = -2*w + 14, 2*s - 56 = -5*w - 0*s. Suppose 4*i - 6 - 182 = 0. Calculate the remainder when i is divided by w.
11
Suppose 2*u - 4*u = -28. Calculate the remainder when 39 is divided by u.
11
Suppose 10 = 5*x - 0. Suppose 0*y = x*y - 22. Calculate the remainder when y is divided by 4.
3
Let m(g) = g**3 + 26*g**2 + 22*g - 56. What is the remainder when m(-25) is divided by 6?
1
Suppose -6*m + m = 0. Let b(w) = w**2 + w + 13. What is the remainder when (4 - 1)*(-76)/(-6) is divided by b(m)?
12
Let w(u) = u**3 - 19. Let f = 4 - 4. Let g be w(f). Calculate the remainder when -3*(g/3)/1 is divided by 5.
4
Let n be 35/14 - (-2)/4. Suppose -2*c + n*l + 16 = 0, c + l - 15 = -l. Let g(y) = -y**3 + 7*y**2 - 3*y + 3. What is the remainder when g(3) is divided by c?
8
Let z(n) = 6*n - 19. What is the remainder when (-254)/(-8) + 2/8 is divided by z(5)?
10
Suppose -3*z - 4*h - 16 = -z, 4*h = -20. Suppose -b = -10*j + 5*j + 2, b - z*j = -2. What is the remainder when 26 is divided by ((-14)/(-5))/(b/(-10))?
12
Suppose -4*o - o = -20. What is the remainder when 1450/30 + o/6 is divided by 13?
10
Suppose 0 = 4*q - 25 - 39. Suppose 0*h = -2*h + 6. Suppose 0 = 2*i + 2*j - 10, 4*i - 2*i - h*j = 30. What is the remainder when q is divided by i?
7
Let t(a) = -2*a + 2. Let p(d) = 3*d - 3. Let o(v) = -3*p(v) - 4*t(v). Suppose -2*l + 7*l = 0. Calculate the remainder when 1 is divided by o(l).
0
Let q(x) = 16*x - 55. What is the remainder when q(22) is divided by 60?
57
Suppose -2*v = -4*v. Suppose -3*l = -v*l - 54. What is the remainder when (-1484)/(-36) + (-4)/l is divided by 14?
13
Suppose 0 = 2*x - 5*i - 55, 2*x - 2*i + 5*i - 63 = 0. Let r = x - 21. What is the remainder when 33 is divided by r?
6
What is the remainder when 4*(-3)/42*-49 is divided by 9?
5
Let l be (6 + 0)/(-3)*-1. Let j = l - -6. Suppose -v + 41 = -h, -j - 118 = -3*v + 4*h. Calculate the remainder when v is divided by 13.
12
Let j = -11 + 16. Calculate the remainder when 7*3 - (-2 + j) is divided by 10.
8
Calculate the remainder when (416/(-12))/(8/(-12)) is divided by 27.
25
Let a(p) = -p**2 + 11*p - 3. Suppose 0 = 3*w + 5*u - 0*u - 17, 3*u = -w + 3. What is the remainder when 43 is divided by a(w)?
13
Let m be 2 - (-2 + (1 - 0)). Suppose 2*o + m*o - 50 = 0. What is the remainder when ((-2)/3)/(o/(-75)) is divided by 3?
2
Suppose 0 = 5*r - 136 + 51. What is the remainder when 31 is divided by r?
14
Suppose 8*f - 13 - 203 = 0. What is the remainder when f is divided by 7?
6
Let q = 121 - 31. Calculate the remainder when q is divided by 31.
28
Let t be (-1 - -167)/(0 - 1). What is the remainder when t/(-8) - (-2)/8 is divided by 11?
10
Let j(f) be the first derivative of -2*f**3/3 + 2*f**2 - 2. Let d be j(3). Let k = 25 + d. What is the remainder when 55 is divided by k?
17
Let k be ((-12)/8)/((-2)/8). Calculate the remainder when (-3 + -9)*(-3)/k is divided by 2.
0
What is the remainder when 3/15 + (-7)/((-35)/274) is divided by 19?
17
Let z(v) = -3*v - 11. Calculate the remainder when 13 is divided by z(-5).
1
Let x = 24 + -16. What is the remainder when 53 is divided by x?
5
Calculate the remainder when (9/(-42) + 6/(-21))*-14 is divided by 3.
1
Let y(t) = 5*t - 1. Let h be y(9). Suppose 62 = 2*i + 4*l - 20, 0 = i + 3*l - h. What is the remainder when i is divided by 12?
11
Let p be (88*(-3)/(-2))/(-1). What is the remainder when 20 is divided by (2/6)/((-4)/p)?
9
Suppose 0 = 5*j + 3*o - 29, 2*j + 0*j - 2*o - 2 = 0. What is the remainder when j is divided by 3?
1
Let j(a) be the first derivative of -1/4*a**4 - 2 + 0*a**2 + 9*a - 1/3*a**3. Calculate the remainder when 25 is divided by j(0).
7
Let g(d) = 3*d**2 - 2*d + 2. Let y = 5 - 8. Calculate the remainder when g(y) is divided by 12.
11
Let h = -4 + -5. Let r(o) = 6*o**2 - o - 4. Calculate the remainder when r(3) is divided by (-49)/(-3) + 3/h.
15
Let t = 0 - -10. Suppose o = 2*y - 28, -42 + t = -4*y - 4*o. What is the remainder when 50 is divided by ((-4)/y)/(3/(-153))?
16
Suppose -4*d = -6 - 50. Let x(w) = w**2 - 2*w + 1. Let s be x(5). Suppose -3*c + s = -c. Calculate the remainder when d is divided by c.
6
Suppose -3*h - 8 + 95 = 0. What is the remainder when h is divided by 11?
7
Suppose 0 = -5*h + h + 604. Calculate the remainder when 49 is divided by 7/(-42) + h/6.
24
Let q(n) = -2*n - 2. Let v be q(-6). Suppose -2 = -2*g - 2*x, -2*x + 6 = -5*g - v. Calculate the remainder when 14 is divided by 1/((-2)/(5*g)).
4
Suppose 5*o - 5*m = -4*m + 126, -4*o + 4*m = -88. Calculate the remainder when 65 is divided by o.
13
Suppose 7*h = 5*h + 28. Calculate the remainder when 68 is divided by h.
12
Let r(s) = -s. What is the remainder when 32/6 - (-2)/3 is divided by r(-2)?
0
Suppose -a + 22 = -3*u + 96, 0 = 5*u + 3*a - 142. Calculate the remainder when u is divided by 7.
5
What is the remainder when 3/6*-2 - -55 is divided by 19?
16
Let p(z) = -z - 10. Let q be p(-7). Let r be (-68)/10 + q/15. Let t = r - -21. Calculate the remainder when 41 is divided by t.
13
Suppose 2*g - 12 = -g. Suppose -g*q + 268 + 12 = 0. What is the remainder when q is divided by 18?
16
Let m(c) = -c**3 - 8*c**2 - c - 7. Calculate the remainder when m(-8) is divided by 1.
0
Let v be (-3)/(1/(-2) - 1). Suppose -v*d + 8 = -0*d. What is the remainder when 14 - 2 - (2 - 3) is divided by d?
1
Let a(v) be the third derivative of -13*v**6/120 - v**4/24 - v**3/6 - v**2. What is the remainder when a(-1) is divided by 4?
1
Let f = -33 - -42. What is the remainder when 44 is divided by f?
8
Suppose -46 = -5*a + 19. Calculate the remainder when 36 is divided by a.
10
Let l = 1 + 25. What is the remainder when l is divided by 15?
11
Let m(r) be the second derivative of -r**5/20 - 5*r**4/12 - r**3 - 7*r**2 + 8*r. What is the remainder when m(-6) is divided by 30?
28
Let z = -41 - -58. What is the remainder when 62 is divided by z?
11
Let r = 3 - -2. Suppose 2*j + 3*j - 2*z = 75, z = -r*j + 90. What is the remainder when 66 is divided by j?
15
Let p(y) = -2*y - 4. Let v be p(-7). Let b = v + -6. What is the remainder when 33 is divided by ((-17)/(-2))/(2/b)?
16
Let a = -21 - -49. What is the remainder when 54 is divided by a?
26
Let z = -1 + 5. Let v = 24 - z. Let o = 3 + 4. Calculate the remainder when v is divided by o.
6
Suppose 2*p + 0 = 2. Suppose 2*x - 3 = p. Suppose 6 = -3*k, -x*h = -3*k + k - 22. What is the remainder when 26 is divided by h?
8
Let p = -7 + 27. Calculate the remainder when 7 is divided by ((-6)/(-5))/(6/p).
3
Let g(w) = w**2 + 9. Let d be g(0). Let a = d + -1. What is the remainder when 23 is divided by a?
7
Let g(f) = f**2 + 3*f + 2. Suppose -4*i + 32 = 4*r, -3*i - i + 26 = 3*r. Suppose -2*o + r = -0*o. What is the remainder when o is divided by g(-3)?
1
Let o = 16 - -1. Suppose -144 = o*d - 21*d. Calculate the remainder when d is divided by 19.
17
Let m(q) = -q**3 + 6*q**2 - 4*q + 4. Let d be ((-80)/(-6))/(6/9). Suppose 0 = x + 4*x - d. Calculate the remainder when m(5) is di