der when (-2)/(-6) - (-149)/3 is divided by ((-624)/108)/((-4)/18).
24
Let t(j) = -j**3 + j**2 + 19. Calculate the remainder when t(0) is divided by 11.
8
Suppose -38 = -2*y + 4*r, -5*y - 86 + 217 = 2*r. Calculate the remainder when y is divided by 13.
12
Suppose -3*d + 550 = 2*d. Calculate the remainder when d is divided by 14.
12
Let z(y) = -y**3 - 3*y**2 - y + 3. Let p be z(-3). Suppose p*i - 2*i - 76 = 0. Calculate the remainder when 2*(-2)/(20/15) - -40 is divided by i.
18
Let m = -13 - -18. Suppose 4*l = 8, -4*l + 17 = 3*z - 0*z. What is the remainder when ((z*8)/(-3))/(-1) is divided by m?
3
Suppose 3*u + 12 = -u. Let f be u - (0 + -1) - -2. Suppose 5*j + 2*c - 54 = f, -5*c + 60 = 2*j + 3*j. Calculate the remainder when 18 is divided by j.
8
Suppose 2*b = -2*b + w + 23, b - 3*w + 8 = 0. Calculate the remainder when b is divided by 2.
1
Suppose -16 = -l - 3*l + 4*g, 5*g = -3*l - 20. Let a = 2 + 0. Suppose 38 = a*t - l*t. Calculate the remainder when t is divided by 7.
5
Let q(r) = 5*r - 1. Let h(o) = -4*o + 1. Let u(n) = -4*h(n) - 3*q(n). Let c be u(2). What is the remainder when 5 + 6 - (-1 + c) is divided by 7?
4
Let i be (-1 + 2 + -2)*0. Let k(s) = s**2 + s + 88. What is the remainder when k(i) is divided by 30?
28
Suppose -i = i + 2*u - 14, -u + 2 = 0. Suppose 5*r = -i, -3*r = -3*z + r + 145. Calculate the remainder when z is divided by 12.
11
Let b = 78 - 64. What is the remainder when 83 is divided by b?
13
Let j = 12 + -10. Suppose 2*q = -j*t - t + 20, 4*t + 32 = q. Calculate the remainder when 46 is divided by q.
14
Let b = -9 + 13. Suppose 0*l + b*i - 42 = -2*l, -10 = -5*i. Calculate the remainder when 82 is divided by l.
14
Suppose 2 = -4*n + 14. Suppose 5*s - n*y + 3 = 61, -3*s - 4*y = -29. Let f = 8 + -2. Calculate the remainder when s is divided by f.
5
Let a(k) = k**2 + 5. Let b = -115 - -126. What is the remainder when a(-6) is divided by b?
8
Suppose -d = 2*w - 76, 6 = 3*d + 4*w - 212. What is the remainder when d is divided by 17?
15
Let l = 68 + -16. Calculate the remainder when l is divided by 5.
2
Let c = -136 - -191. Suppose p - 14 = 3*x, 4*p - x = -0*x + 56. Calculate the remainder when c is divided by p.
13
Let v(o) = -3*o + 9*o + 8*o**2 - 3*o + 2 + o. Calculate the remainder when v(-2) is divided by 7.
5
Let n(u) = u**3 - 3*u**2 + 4*u. Let x be 3/9 - 26/6. Calculate the remainder when x/(-14) + (-159)/(-7) is divided by n(3).
11
Let x = -17 - -23. What is the remainder when 15 is divided by x?
3
Let t(z) = z**3 - z**2 - 3*z - 1. Let q = -3 + 4. What is the remainder when 2/q + (21 - 0) is divided by t(3)?
7
What is the remainder when 51 is divided by -6*(-1 + (-4)/8)?
6
Let g = 8 - 4. What is the remainder when 2/(-4) + (-45)/(-6) is divided by g?
3
Suppose 5*p - 4*p = -3, -3*p = -d + 33. Suppose 0*u + 3*u = d. Calculate the remainder when 14 is divided by u.
6
Let t = -2 + 3. Let v(n) be the third derivative of 11*n**6/120 - n**5/60 - n**4/24 + n**3/6 + 2*n**2. Calculate the remainder when 19 is divided by v(t).
9
Let v(y) = -y**3 + 10*y**2 + 11*y + 3. Let f be v(11). Suppose 0 = d - 5 - f. What is the remainder when d is divided by 3?
2
Let v(k) = -k**2 - 2*k + 1. Let o be v(1). What is the remainder when (-6)/12*o*23 is divided by 7?
2
Suppose 0 = -3*d + 65 + 55. Suppose 0 = 3*w + 5 + 25. Let z = 24 + w. Calculate the remainder when d is divided by z.
12
Let d = 166 + -126. What is the remainder when d is divided by 21?
19
Let m(a) = -a**3 + 2*a**2 + 5*a - 2. Let t be m(3). Calculate the remainder when 45 is divided by 152/12 - t/6.
9
Let t = -1 + 3. Let r(z) = -z**2 + 7*z - 5. Let h be r(5). Suppose h*b = 3*v + 82, t*b - 20 = -v - v. What is the remainder when b is divided by 8?
6
Let m = -21 - -33. What is the remainder when 34 is divided by m?
10
Let j = -17 + 45. What is the remainder when j is divided by 15?
13
Suppose -3*n + 5*t + 35 = 0, 0*n - 5*n + 4*t = -54. Calculate the remainder when 26 is divided by n.
6
Let d be (-4)/32*6*16. What is the remainder when 21 is divided by 2/d + (-37)/(-6)?
3
Let c = -9 - -38. What is the remainder when c is divided by 8?
5
Let k = -45 + 78. Suppose 3*o + 9 = k. What is the remainder when 8 is divided by 12/(-16) - (-30)/o?
2
Suppose -3 = -g + 7. What is the remainder when g is divided by 7?
3
Suppose 23*d + 135 = 28*d. Calculate the remainder when 52 is divided by d.
25
Suppose b - 1 - 2 = 0. Calculate the remainder when b is divided by 2.
1
Let w(h) = 4*h**2 - 11*h + 3. Calculate the remainder when 22 is divided by w(3).
4
Let m = 47 + 35. Calculate the remainder when m is divided by 22.
16
Suppose -6 = -4*g + 2. Suppose -3*m + g*m = -3. Suppose 3*s + 3*w - 33 = -s, 0 = -3*s + m*w + 9. Calculate the remainder when 11 is divided by s.
5
Let t = 25 - 3. Suppose m + 4 - 9 = 0. Suppose m = -3*j + 23. Calculate the remainder when t is divided by j.
4
Suppose -2*c - 85 = -7*c. Let k(p) = 3*p**2 + 4*p - 5. Let z be 1/(2/(-10)*1). What is the remainder when k(z) is divided by c?
16
Let q(c) = -c**2 + c + 4. Calculate the remainder when 6 is divided by q(0).
2
Let i = 36 - 18. What is the remainder when 70 is divided by i?
16
Let w = -48 + 65. Calculate the remainder when w is divided by 9.
8
Suppose 0 = -11*a + 10*a + 12. Calculate the remainder when 34 is divided by a.
10
Let a = 5 - 2. Let n be (-30)/(-4)*(-20)/(-6). Suppose -a*s + n = 2*s. What is the remainder when 9 is divided by s?
4
Suppose -5*p = 2*f - 31 - 20, 2*p = f - 12. What is the remainder when f is divided by 3?
0
Let s(t) = -5*t. Let p(j) = 0*j**2 - j**2 + 16 + 3 - j. Calculate the remainder when p(0) is divided by s(-2).
9
Suppose 356 - 140 = 9*c. Calculate the remainder when c is divided by 12.
0
Let n be 1/2 + 21/14. Suppose 2*m = -n*m. Suppose 2*o + 0*o + c - 55 = m, -3*c + 87 = 3*o. Calculate the remainder when o is divided by 9.
8
Let n = 52 - 34. What is the remainder when 52 is divided by n?
16
Let i = -17 + 12. Let a = i - -9. Suppose -3*r - 11 = -2*o + 2*r, 0 = -3*o - 2*r + 7. Calculate the remainder when a is divided by o.
1
Suppose -5*h + 6*h - 10 = 0. What is the remainder when 28 is divided by h?
8
Suppose -2*o = 2, -2*o + 1 = 5*g + 3. Suppose 2*m - 5*d = -g*m - 31, -41 = 4*m - 3*d. Calculate the remainder when 14 is divided by (-66)/(-8) + 2/m.
6
Calculate the remainder when 6/(4 - 810/205) is divided by 18.
15
Let f(t) = -t + 42. What is the remainder when f(15) is divided by 11?
5
Let b(x) = -12*x + 1. Suppose 0 = 5*w + 6 - 1. What is the remainder when (-42)/(-147) + (-792)/(-21) is divided by b(w)?
12
Let i = -15 - -21. Let k(t) = t**2 - t - 8. What is the remainder when 42 is divided by k(i)?
20
Let k(r) = -10*r + 1. What is the remainder when 26 is divided by k(-1)?
4
What is the remainder when 44/33*(-174)/(-4) is divided by 6?
4
Suppose o + 207 = 5*u, u + 4*o - 74 = -20. Calculate the remainder when u is divided by 16.
10
Suppose 4*t - 24 + 0 = 0. Suppose -t + 1 = 5*q. Let j = q - -5. Calculate the remainder when 10 is divided by j.
2
Let y = 3 + -5. Let v be (-296)/y*(-6)/8. What is the remainder when v/(-9) + 2/3 is divided by 5?
3
Suppose 0 = -2*t + 3*k + 6, -2*t - 4*k = 2*t - 12. Suppose -20 = -5*p, -5*j - p + 2*p + 16 = 0. Calculate the remainder when j is divided by t.
1
Suppose -18 - 98 = -4*u. Calculate the remainder when u is divided by 16.
13
Suppose a - 8 = -a. Let q be 10/4 + 4/8. Suppose -5*j + 2*c + q = 5*c, 2*j = c + 10. Calculate the remainder when a is divided by j.
1
Suppose -2*x = 4*i - 58, -4*i + 6*i - 4*x = 24. What is the remainder when (-130)/(-3)*12/10 is divided by i?
10
Suppose 237 = -5*j - 433. Let b = j + 190. What is the remainder when b is divided by 19?
18
Let d(s) = s**3 - s**2 + s. Let n(i) = -13*i**3 - 2*i**2 + 2*i - 1. Let l(r) = -2*d(r) + n(r). Calculate the remainder when 40 is divided by l(-1).
12
Suppose -2*o + 118 - 18 = 0. Suppose 4*f - o = -f. Calculate the remainder when 18 is divided by f.
8
Let i be ((-5)/(-10))/(1/(-12)). Let v = 12 + i. What is the remainder when 16 is divided by v?
4
Suppose 3*j - 5*t - 36 = -0*j, -5*j - 4*t + 23 = 0. Calculate the remainder when 16 is divided by j.
2
Let r(f) = -f + 1. Let u(y) = 2*y**3 + 2*y**2 + 1. Let q be u(-2). What is the remainder when 23 is divided by r(q)?
7
Suppose 0 = -2*u + 21 + 15. Wha