 = -5*t - 5*q + 5, -6*q - 10 = 2*t - q. Calculate the remainder when w is divided by t.
4
Suppose 0 = 5*m + w - 25, 0 = -0*m - 3*m + 3*w + 15. Suppose -5*v + 12 = -2*v - 3*b, m*b + 27 = -2*v. What is the remainder when 0 - -31 - 1/v is divided by 17?
15
Let g = -29 - -18. Let z = 111 + -63. Let u = g + z. Calculate the remainder when u is divided by 13.
11
Calculate the remainder when (-1)/(5/(-20)) - -25 is divided by 6.
5
Suppose 19*w = 24*w - 15. What is the remainder when w is divided by (-4)/12*(0 + -6)?
1
Suppose 13*b = 155 + 92. Calculate the remainder when 111 is divided by b.
16
Let k(q) = 3*q**2 + 5*q + 8. Calculate the remainder when 35 is divided by k(-3).
15
Suppose -3 = f - 14. Suppose -7*w = 2*w - 486. Calculate the remainder when w is divided by f.
10
Suppose 41 = g + 35. Suppose p = g*p - 65. Calculate the remainder when 37 is divided by p.
11
Suppose -3*x = 3*v - 21, 35 + 7 = 4*v - 3*x. What is the remainder when v is divided by (0 + -3)*(-4)/2?
3
Let d = -22 - -39. Suppose 1205 = 3*f + 2*f. Suppose -2*n + o + 102 = 0, f = 4*n - 3*o + 33. Calculate the remainder when n is divided by d.
15
Suppose 12*u - 11*u - 7 = 0. Calculate the remainder when 33 is divided by u.
5
Let d(y) = y**3 - 5*y**2 - 3*y - 6. Calculate the remainder when (-1)/(-4) + (-655)/(-20) is divided by d(6).
9
Let d = -8 + 12. Suppose 3*p + d = 1. What is the remainder when 12 is divided by (p/3)/((-1)/21)?
5
Let t(x) be the first derivative of -3*x**2/2 - 8*x - 3. Calculate the remainder when t(-9) is divided by 10.
9
Suppose 4*t + 5*u - 76 = t, -4*t = u - 73. Let v = 29 - t. What is the remainder when 45 is divided by v?
9
Suppose -t = -3*j + t - 57, 5*j - t + 88 = 0. Let u = -11 - j. What is the remainder when u is divided by 4?
2
Suppose 0 = 5*m + 4*p + 46, -4*p - 23 = 4*m + 17. Let i = -4 - m. Suppose -13 = -3*b + i*b. Calculate the remainder when b is divided by 7.
6
Let d = 5 + -2. Suppose -2*g = -d*g + 4. Suppose -2*n + k - 134 = -7*n, g*n - 88 = 4*k. What is the remainder when n is divided by 14?
12
Suppose g - 17 = -3*u, 5*g + 11 = 2*u - 6. Suppose -7*i + u*i = -35. Calculate the remainder when i is divided by 19.
16
Let c = -2 - -24. What is the remainder when 130 is divided by c?
20
Suppose 5*z - 2*z = 123. Let k = 224 - 210. Calculate the remainder when z is divided by k.
13
Let w(q) = -q + 10. Suppose -5*x + 2*c + 30 = -0*x, 6 = x + 4*c. What is the remainder when w(x) is divided by 3?
1
Suppose 68 = 4*j - 8. Suppose 2*m - 2*o = 32, 4*o + 11 = 2*m - 11. What is the remainder when j is divided by (1 - -3)*m/12?
5
Suppose -w - 4*y = 6, -5*y - 9 = 3*w + 2. Let v = w + -23. Calculate the remainder when 157/5 - (-10)/v is divided by 11.
9
Suppose -3*m = 4*k + 57, 4*m = -k - 2*k - 76. Let y = m - -28. Let p = y - 4. What is the remainder when 14 is divided by p?
4
Suppose 0 = -5*q + 2*q + 102. Suppose 6 = -3*b - 12. What is the remainder when q is divided by (-15 + -3)/(9/b)?
10
Let w = -12 - -41. Let c be (9 + -3)/(-3) - 1. Calculate the remainder when w is divided by 19 + 3/c + -2.
13
Suppose -9 = 3*w - 5*t + 4, 0 = -2*w - 2*t + 18. Suppose -w*q + 18 = 2*p, p = 2*q - 1 - 2. What is the remainder when q is divided by 1?
0
Let z be 2*(-3)/(-2) + -1. Suppose 0 = b - z*b + 29. Let l = b + -15. Calculate the remainder when l is divided by 5.
4
Suppose 4*l - 6*l = -52. Calculate the remainder when (-12)/(-15)*(l + -1) is divided by 7.
6
Suppose 2*w = -0*w + 12. Suppose 2*t = -76 + 436. Suppose -g = -w*g + t. What is the remainder when g is divided by 19?
17
Suppose 20 = 5*b, 0 = 5*t + 2*b - 0*b - 23. Calculate the remainder when (4/t)/((-10)/(-555)) is divided by 25.
24
Suppose 2*l + l = 27. Let u(t) = 25*t + 4. Let r be u(5). Suppose -5*d + g = -r, 3*d - 2*d = -g + 27. What is the remainder when d is divided by l?
8
Suppose 4*l + 2 = 5*r, -6*l + 14 = -4*l + 5*r. Suppose -3*y + 99 = 4*v, -2*v = l*v - 5*y - 91. Calculate the remainder when v is divided by 26/(-3)*6/(-4).
11
Let j be 30 + 0/(-3 - -6). Let n = j - -17. Suppose 14 + 18 = 2*v. What is the remainder when n is divided by v?
15
Let j(v) = -4*v + 27. Calculate the remainder when 34 is divided by j(5).
6
Suppose l + 8 - 24 = 0. Calculate the remainder when (18/4)/((-1)/(-14)) is divided by l.
15
Let g be ((-4)/(-2) - 2)/1. Suppose 0 = t + 3*w - 18, 2*t + 2*w - 11 = w. Suppose 21 = -g*y + t*y. What is the remainder when 12 is divided by y?
5
Suppose 2*d - 5 = d. Let t(o) = -o**3 + 5*o**2 + 6*o + 5. What is the remainder when (3/d)/((-2)/(-30)) is divided by t(6)?
4
Let h be (-2 - -1)*4/2. Let i be (-5)/(5/h)*2. Suppose -i*r = r - 65. What is the remainder when 38 is divided by r?
12
Let i(d) = 4*d**2 + 2*d. Let m be i(-2). Suppose 5*h - 72 = -17. What is the remainder when h is divided by ((-36)/8)/((-9)/m)?
5
Let r = -9 + 12. Let k(n) = 5*n - 2. Calculate the remainder when k(5) is divided by 13 - (r - (0 + 3)).
10
Let l = -8 + 5. Let o(h) = h**3 + 4*h**2 - 3*h - 3. Let i = 19 + 9. Calculate the remainder when i is divided by o(l).
13
Suppose 5*d - 2*l - 132 = d, -l = -4*d + 136. What is the remainder when d is divided by 13?
9
Suppose 3*g = 2*g + 10. Suppose 0 = -2*i - 0*i + g. Suppose -5*w + w + i*t = -33, -39 = -3*w - t. What is the remainder when w is divided by 7?
5
Let b be 11/2*(-24)/3. Let t be b/(-6)*(-6)/(-4). What is the remainder when 2 is divided by 8/44 + 9/t?
0
Let y(l) be the first derivative of l**4/2 - l**3 - 2*l**2 - l + 4. What is the remainder when 27 is divided by y(3)?
13
Let k = 6 + 7. Suppose -2*b - z = -47, -2*b + 73 = -5*z + 8. What is the remainder when b is divided by k?
12
What is the remainder when (73/(-2))/((-1)/2) is divided by 19?
16
Let x = 23 + -12. Calculate the remainder when x is divided by 4.
3
Let q(o) = o**3 - 6*o**2 + 4*o + 7. Let u = -3 + 8. What is the remainder when 3 is divided by q(u)?
1
Suppose 2*h = 62 - 6. Calculate the remainder when 55 is divided by h.
27
Let x be 4/6 - 28/(-12). Suppose x*v - 8 = 5*v. What is the remainder when (-2)/(-3)*(-78)/v is divided by 7?
6
Let o(r) = 4*r**2 + 8*r + 4. Calculate the remainder when 14 is divided by o(-2).
2
What is the remainder when 91 is divided by (0 + (3 + 0)/3)*31?
29
Suppose 5*k - 25 - 50 = 0. What is the remainder when 58 is divided by k?
13
Let q(y) = 0*y + y**2 - 7*y + y - 11 + 2*y. Calculate the remainder when q(7) is divided by 4.
2
Calculate the remainder when (-570)/(-19)*5/2 is divided by 20.
15
Suppose 0 = -k + 4. Let t = 14 - 5. Suppose 3*z + 0*z - t = -b, -b + 4*z = -2. What is the remainder when b is divided by k?
2
Suppose 2*h + 4*l = 2*l + 88, 3*h - l = 128. What is the remainder when h is divided by 22?
21
Suppose -11 - 5 = -4*u. Suppose -3*f = m - 4, u*f + m + m = 8. Suppose f*l - 2*l + 22 = 0. Calculate the remainder when 31 is divided by l.
9
Let m(u) = 1 - 10*u + 1 + 13*u - 3*u**2. Let n be m(-2). Let d = 22 + n. What is the remainder when 17 is divided by d?
5
Suppose -8*f = -3*f - 750. Calculate the remainder when f is divided by 51.
48
Let a = 304 + -147. Suppose -a = -5*t - 3*p, -t + 37 = p + p. What is the remainder when t is divided by 8?
5
Let d be (-5 + -1)/(-2) - 1. Suppose d*o - 18 = -o. What is the remainder when 17 is divided by (-3)/((8/o)/(-4))?
8
Let u(h) = 2*h**3 - 10*h**2 + 9*h - 8. Calculate the remainder when u(5) is divided by 10.
7
Suppose 0 = -3*d - 0*d. Suppose d = -3*g - 3. Let j(n) = -26*n - 1. Calculate the remainder when j(g) is divided by 9.
7
Suppose -28 = -3*p + 29. What is the remainder when p is divided by 4?
3
Suppose 396 = 2*y + 7*y. Calculate the remainder when y is divided by 15.
14
Suppose 1 = p, -p - 37 = 5*q - 163. Calculate the remainder when 44 is divided by q.
19
Suppose 11*m - 98 + 10 = 0. Let v be 4/(-2 - -1)*-4. What is the remainder when ((-42)/(-8))/(6/v) is divided by m?
6
Let h(r) = r**3 + 9*r**2 + 7*r + 3. Let z be -5 + -3*(-2)/(-2). Calculate the remainder when 31 is divided by h(z).
9
Suppose -3*q - 6 = t, -2*q - 3*q - 10 = 2*t. Suppose 5*i - 4*r - 36 - 42 = t, 4*i + 2*r - 78 = 0. Calculate the remainder when 69 is divided by i.
15
What is the remainder when 21/(-4)*(-168)/7 is divided by 43?
40
Let g(y) = -y**3 + 15*y**2 + 33*y + 22. What is the remainder when (16/6)/(1/3) is divided by g(17)?
3
Suppose 3*f = -5*r - 0*r + 1