**2 + x**2. Calculate the remainder when t is divided by a(4).
1
Suppose i - 6*i - 5 = 0. Suppose -d - 72 = -4*l, 5*l - d = 4*l + 18. Let b = i + l. What is the remainder when 31 is divided by b?
14
Suppose r - 3 - 2 = 0. Suppose 0 = r*q + 23 - 78. Suppose 3*c = q - 2. Calculate the remainder when 5 is divided by c.
2
Suppose -5*j + 40 = -30. Calculate the remainder when 61 is divided by j.
5
Let g(n) = n**2 - 2*n - 1. Suppose 4*y = 6*y. Suppose 0 = -y*s - 3*s + 24. What is the remainder when g(-4) is divided by s?
7
Suppose 2*v - 4 = 0, -2*s + 3*v = -2*v. Let o(h) = -4*h - 8. Let a(x) = -1. Let g(k) = s*a(k) - o(k). Calculate the remainder when g(10) is divided by 22.
21
Suppose 2*r + 2*r - 63 = w, 2*w + 58 = 4*r. Calculate the remainder when 66 is divided by r.
15
Suppose 5*z + 4*z = 927. Calculate the remainder when z is divided by 21.
19
Let j be 7 - 2*(1 - -1). Suppose 0*f - 87 = -j*f. What is the remainder when 85 is divided by f?
27
Suppose 0*a = -a. Suppose 5*w + 2*i - 156 = a, 0 = -2*w + 6*i - 5*i + 57. Suppose -w = -0*d - 3*d. What is the remainder when d is divided by 6?
4
Suppose -p + 0*p = -14. Let r(u) = 14*u + 1. Let n be r(-4). Let a = 82 + n. What is the remainder when a is divided by p?
13
What is the remainder when -50*(35/5)/(0 - 2) is divided by 59?
57
Let c(h) = -h**3 - 9*h**2 - 2*h - 9. What is the remainder when 17 is divided by c(-9)?
8
Let k = -8 - -30. What is the remainder when 40 is divided by k?
18
Suppose -2 = v, 5*f - 4*v + 15 = 48. Let z(g) = -4*g - 4. What is the remainder when z(-3) is divided by f?
3
Let n(i) = i**3 + 8*i**2 - 10*i - 11. What is the remainder when n(-8) is divided by 18?
15
Let k = 98 + -58. Let p = 74 - k. What is the remainder when p is divided by 18?
16
Suppose 0*g = -5*g + 35. Suppose 4*m - r = g - 4, 4 = 4*r. What is the remainder when 2 is divided by m?
0
What is the remainder when 3 is divided by -3 + (-3 + 8 - 0)?
1
Suppose -4*l + y = -37, 0*y - 65 = -5*l - 5*y. Suppose l = 3*r + 2*r. What is the remainder when 3 is divided by 0 + (-1)/(r/(-4))?
1
Let q(i) = -i**2 + 5*i + 8. Let n be q(6). Suppose -2*c + 0*c = -n, -4*c - 12 = -2*o. What is the remainder when (-200)/(-14) + (-10)/35 is divided by o?
6
Suppose -2*k + 8 = 4*f - 10, -2*f = -k - 11. Suppose 0*h - 4 = -h. Calculate the remainder when f is divided by h.
1
Suppose 4*v - 168 = d - 0*d, -4*v + 3*d = -160. Let f(w) = -3*w. Let l(i) = -i**2 + i. Let u(x) = -f(x) - l(x). What is the remainder when v is divided by u(3)?
13
Suppose -14 = -9*b - 5. Calculate the remainder when b is divided by 1 + 0*(-2)/(-4).
0
Let m(w) = -w**2 - w. Suppose 7 + 28 = -5*k. Let u be m(k). What is the remainder when 8 is divided by 2/(-8) + u/(-8)?
3
Let l(m) = 2*m - 3. Suppose -5*h + 20 = -10*h. What is the remainder when (-4)/8 + (-34)/h is divided by l(3)?
2
What is the remainder when (12/(-16))/(2/(-120)) is divided by 12?
9
Let s(n) = n**2 + 5*n + 4. Let i be s(-4). Suppose -2*h + 10 = -0. Suppose i = -v - z + 5 + h, -v + 3*z + 6 = 0. Calculate the remainder when v is divided by 3.
0
Let b(m) = m + 19. Calculate the remainder when b(8) is divided by 14.
13
Let j = -3 - -5. Suppose j*d + 7 - 53 = 0. What is the remainder when 67 is divided by d?
21
Let s = 124 + -108. What is the remainder when 93 is divided by s?
13
What is the remainder when (-8)/(-32) + 38/8 is divided by 2?
1
Let o(b) = -b**3 + 8*b**2 - 3*b + 6. Let z = 8 + -1. Let u be o(z). Suppose -5*a + u + 36 = 0. What is the remainder when 53 is divided by a?
11
Let w(k) = k**2 + k - 7. Let q be ((-2)/5)/(3/(-240)). Suppose 0 = 4*t - 5*o - q - 16, 2*o = -3*t + 59. Calculate the remainder when w(-8) is divided by t.
15
Calculate the remainder when 72 is divided by ((-3)/(-4))/((-6)/(-120)).
12
Suppose -173 + 565 = -4*a. Let v = -56 - a. Calculate the remainder when v is divided by 11.
9
Let h = -20 + 33. Let o(i) = i**3 + i**2 - 4*i - 1. What is the remainder when o(3) is divided by h?
10
What is the remainder when (-3 - (-1015)/25)/(4/10) is divided by 24?
22
Let b = 189 - 74. Calculate the remainder when b is divided by 29.
28
Suppose -13 = -4*b - 3*a + 15, 4*b = -5*a + 36. Suppose -18 = b*f + 10. Let l = f + 12. What is the remainder when 9 is divided by l?
4
What is the remainder when ((-33)/6)/(6/8 + -1) is divided by 13?
9
Suppose 0 = -3*f - v + 55, -2 = -4*v - 22. Calculate the remainder when 71 is divided by f.
11
What is the remainder when 38 is divided by (-30)/(-5)*(-3 + (-39)/(-9))?
6
Suppose 0 = 5*l + 2*j - 55, -l - 2*j + 3*j = -4. Calculate the remainder when 32 is divided by l.
5
Let d(q) be the third derivative of 5/6*q**3 + 2*q**2 - 1/120*q**6 + 0*q - 1/15*q**5 - 1/12*q**4 + 0. Calculate the remainder when 38 is divided by d(-4).
12
Let f(l) = 13*l - 4. Let z be (-6)/(-33) + (-92)/22. Let r(w) = -2*w - 5. Let n be r(z). Calculate the remainder when f(n) is divided by 9.
8
Let n = 630 - 411. What is the remainder when n is divided by 10?
9
Suppose f = -2*u + 12, -2*u + 5*u - 2*f = 18. Let x(k) = k. Let g be x(3). What is the remainder when (g/2)/((-3)/(-32)) is divided by u?
4
Let h = -70 + 105. Let k(x) = -17*x + 1. Let z be k(-1). Let b = 30 - z. What is the remainder when h is divided by b?
11
Let s be ((-48)/(-40))/(2/15). Let r = s + 2. Calculate the remainder when r is divided by 7.
4
Suppose 3*f - 13 = 32. What is the remainder when 59 is divided by f?
14
Let s = -27 + 19. Let y = 45 - s. Let g = 79 - y. What is the remainder when g is divided by 14?
12
Let z(k) = k**2 + 9*k - 8. Calculate the remainder when 80 is divided by z(-12).
24
Suppose 4*s - 15 - 41 = 0. Suppose 4*z - 16 = -0*z. Calculate the remainder when s is divided by z.
2
Suppose 3*x - 65 = -2*x. What is the remainder when 38 is divided by x?
12
Suppose -m - 3 = -2*m. Suppose m*l - 37 = -5*t, l - 2*l = -3*t - 17. Suppose -96 - 104 = -5*b. What is the remainder when b is divided by l?
12
Suppose 109 = 3*c - 44. What is the remainder when c is divided by 27?
24
Let u(c) = 2*c**2 + 3*c - 16. What is the remainder when u(6) is divided by 26?
22
Suppose -2*w + 5*u = -44, 3*w - 45 = -3*u + 42. Suppose v - 3*c = -v + 19, 68 = 4*v + 4*c. What is the remainder when w is divided by v?
13
Suppose 5*q - 13 = -2*j + 8, j + q - 6 = 0. Calculate the remainder when 13 is divided by j.
1
Let s(v) be the third derivative of v**5/60 - 3*v**4/8 + 11*v**3/6 - 4*v**2. Calculate the remainder when s(10) is divided by 4 - (-2 + 1)*2.
3
Let c = 23 - 17. Suppose -v + 0*v + 9 = 0. Calculate the remainder when v is divided by c.
3
Let r = -4 - -11. Let d = 11 - r. Suppose -5*x + 6 + d = 0. Calculate the remainder when x is divided by 2.
0
Let i(w) = -8*w + 21. Calculate the remainder when i(-10) is divided by 26.
23
Let k be 0 + 1/2*0. Let v = k + 5. What is the remainder when v is divided by ((-9)/(-6))/((-2)/(-4))?
2
Let j = -3 - -5. Suppose j*c + 4 = -0*c. What is the remainder when 27 is divided by (-14)/4*(c - 2)?
13
Calculate the remainder when 18 is divided by ((-308)/(-66))/(1/3).
4
Let w(t) = 5*t + 4. Let h(o) = o + 1. Let b(j) = 4*h(j) - w(j). Let d be b(2). Calculate the remainder when 34 is divided by -12*(d - 3/(-6)).
16
Let u = 36 - -1. Suppose -s - 66 = -3*v + 2*s, 2*s - u = -v. Calculate the remainder when v is divided by (-2)/4*2*-7.
6
Suppose z = -5*p - 2*z + 32, -z - 8 = -p. Suppose 4*o + 66 = p*o. Calculate the remainder when o is divided by 6.
4
Let u = 11 - 11. Suppose u = j - 5*j + 84. Calculate the remainder when j is divided by 11.
10
Suppose 0 = -4*u - 1 + 13. Suppose 59 = u*z + 2*a, 5*a - 79 = -3*z + 7*a. What is the remainder when z is divided by 13?
10
Let k(y) = 2*y**3 - 7*y**2 + 3*y + 8. What is the remainder when k(5) is divided by 34?
30
What is the remainder when 238 is divided by 176/18 - (4 - 76/18)?
8
Suppose 5*b = 63 + 97. What is the remainder when b is divided by 5?
2
Let d be (27 - -3)/(-3) - -2. Let v = -2 - d. What is the remainder when 11 is divided by v?
5
Suppose 187*d - 99 = 184*d. What is the remainder when 228 is divided by d?
30
Suppose 3*t + 5 = 4*t. Suppose -3*p - 3*s + 7*s + 29 = 0, -4*s - 17 = p. Calculate the remainder when t is divided by p.
2
Let x(n) = 3*n**2 + 3*n + 3. Calculate the remainder when 23 is divided by x(-2).
5
Suppose -4*j + 15 = 5*d, -16 + 7 = -3*j - 3*d