is divided by 4.
1
Suppose -4*p + 3*p - 3 = 0. What is the remainder when 53 is divided by (-1 - -6) + 9 + p?
9
Suppose 26*w - 3*w - 621 = 0. What is the remainder when 76 is divided by w?
22
Let p(l) = l**2 + 12*l + 5. Let t be p(-9). Let r = -19 - t. Suppose r*s - s + 4*i = 16, -s - 6 = -5*i. Calculate the remainder when 14 is divided by s.
2
Let x be (-6)/51 + (-363)/(-51). Let n(w) = w**2 + 14. Calculate the remainder when n(x) is divided by 11.
8
Suppose 588 = -0*b + 3*b. Suppose 2 + b = 6*j. Let w = j + -13. What is the remainder when w is divided by 7?
6
Suppose -3*f = -x + 28, -5*x - 8 = 4*f + 4. Let j(t) = t**3 + 9*t**2 + 3*t + 10. Let w = 16 + 11. Calculate the remainder when j(f) is divided by w.
23
Let o = 9 + -4. Let v(m) = 19*m**3 - m**2 + m. Let b = 7 + -6. What is the remainder when v(b) is divided by o?
4
Suppose 0 = 8*v - 14*v + 246. What is the remainder when v is divided by 34?
7
Let u(y) = -y**3 + 16*y**2 + y - 1. Suppose 2*s = 49 - 17. Calculate the remainder when 41 is divided by u(s).
11
Suppose 0*s - 78 = -2*s. What is the remainder when s is divided by (16/6 - 1) + (-34 - 6533/(-141))?
11
Suppose -11*r = -6773 - 2280. What is the remainder when r is divided by 8?
7
What is the remainder when 88 is divided by (-3)/(-6) + (-188)/(-8)?
16
Suppose 0 = 2*j - 24 + 20. Calculate the remainder when (3 - 2) + (-24)/(-3) is divided by j.
1
Let m = 4 - 2. Suppose m*l + 5 = 3*k - 0*k, 0 = -5*l - 3*k + 19. Suppose 8*w = l*w + 144. Calculate the remainder when w is divided by 13.
11
Let m(v) = -3*v**2 - 36*v - 48. What is the remainder when 443 is divided by m(-10)?
11
Let r(k) = -5*k + 113. Calculate the remainder when 65 is divided by r(21).
1
Suppose 2*j + 3*c - 40 = 0, -3*c = 3*j + 2*j - 100. Calculate the remainder when 95 is divided by j.
15
Suppose 158 = 5*y - 4*l, -y = 4*y - l - 152. What is the remainder when 717 is divided by y?
27
Let g(k) = -3*k - 14. Let a be g(-8). Suppose a = 5*r, -5*v - 2*r = 4 - 3. Let p = 27 + v. What is the remainder when 77 is divided by p?
25
What is the remainder when 639 is divided by (8*3)/(114/152)?
31
Let f = 11 + 22. Let p be (-47)/4 + 5/(-20). Let x = 24 + p. What is the remainder when f is divided by x?
9
Suppose 0 = x - 4*m - 28, -2*m + 74 = 3*x - 4*m. What is the remainder when (-8)/6*(-2520)/48 is divided by x?
22
Let f(z) = -z**2 + 19*z + 48. Calculate the remainder when f(21) is divided by 5.
1
Suppose -436 = -7*l - 254. What is the remainder when 95 is divided by l?
17
Suppose 5*g - 45 = 4*a - 5*a, 5 = a. Let v(n) = 5*n + 1. What is the remainder when v(6) is divided by g?
7
What is the remainder when (-2*(-1)/2)/(2/726) is divided by 26?
25
Let x be (1 - 11)/(6/(-66)). Suppose 4*m + h + h = 92, -5*m - 5*h + x = 0. Let v = m + -8. What is the remainder when v is divided by 11?
5
Let y = -2 - -5. Suppose 0 = -8381*a + 8371*a + 190. What is the remainder when (-3)/(y/(-35)) - -1 is divided by a?
17
Let a(h) = -3 + 2 + 17*h - h**2 + 7. Calculate the remainder when a(16) is divided by 12.
10
Suppose -30*v - 682 = -4042. What is the remainder when 892 is divided by v?
108
Let d(x) = -x**3 + 8*x**2 + 10*x - 5. Let p be d(9). Suppose p*g = -5*n + 40, -5*n + 10 = -0*n - 2*g. What is the remainder when 17 is divided by n?
1
Let r(a) = a**3 + a**2 + 6*a + 28. Calculate the remainder when 221 is divided by r(0).
25
What is the remainder when (92/368)/((-1)/(-5804)) is divided by 52?
47
Suppose 156 = 6*o - 492. Calculate the remainder when o is divided by 10.
8
Let i be (-2)/(-4) + 16/(-32). Suppose i = -5*d, q = -d - 0*d + 7. What is the remainder when 10 is divided by q?
3
What is the remainder when 1258 is divided by ((-30)/(-15) + -10)/(2/(-7))?
26
Let x(h) = -h**2 + 44*h - 453. What is the remainder when 328 is divided by x(26)?
13
Suppose g + p = 3*g - 16, g + 3*p - 8 = 0. Suppose -g = -5*a + 2. Suppose 5*j - a*j + f = 26, -5*j - 4*f = -41. What is the remainder when 24 is divided by j?
6
Suppose -45 = -5*q + 2*q. Calculate the remainder when 20/(-8)*(-3 - (-41)/(-5)) is divided by q.
13
Suppose 160 = 4*z - 12. Suppose o + w = z, 0 = 6*o - 2*o + w - 181. What is the remainder when o is divided by 24?
22
What is the remainder when 42 is divided by (-57)/(-399) + 34/7?
2
Let w(p) be the first derivative of 3*p**4/4 - 2*p**3/3 + p**2/2 - 3*p - 7. What is the remainder when 15 is divided by w(2)?
0
Let d(a) = a**3 + 7*a**2 + 2*a + 1. Let o = 27 + -30. Let p be 2/(17/(-5) - o). What is the remainder when 79 is divided by d(p)?
38
Let y be 4/2*((-99)/(-6) + 3). Let i = y - 17. Calculate the remainder when 86 is divided by i.
20
Let j(d) be the third derivative of d**4/8 + 4*d**3/3 - 15*d**2. Calculate the remainder when j(5) is divided by ((-78)/4)/(-3)*2.
10
Suppose 4*z - 2*q - 2466 = 0, -858 - 993 = -3*z + 2*q. Suppose 5*y + 458 = 2*j + 147, 4*j = 3*y + z. Calculate the remainder when j is divided by 39.
36
Calculate the remainder when (1084/(-6))/((-24)/36) is divided by 91.
89
Suppose -7*p + p = -114. Calculate the remainder when p is divided by 3.
1
Let a = -90 - -99. Suppose 2*k + p = 31, 2*k - 3*p + p = 16. Calculate the remainder when k is divided by a.
4
Suppose 350*m - 354*m + 1192 = 0. What is the remainder when m is divided by 20?
18
Suppose 5*r - 2*g - 1258 = 0, -751 = -2*r - r + 5*g. Suppose -8*x - 52 + r = 0. Calculate the remainder when 149 is divided by x.
24
Let a = 373 - 644. Let y = a - -458. Calculate the remainder when y is divided by 38.
35
What is the remainder when 2/6 - (-1421)/21 is divided by 26?
16
Suppose 2*d - 6 - 6 = 0. Suppose -4 - d = -2*z. What is the remainder when 12 is divided by z?
2
Suppose 3*g = 28 + 14. Let u be 0 + 5*(0 - 5). Calculate the remainder when u/(2/4*-2) is divided by g.
11
Let v(z) = 3*z**2 + 3*z - 3. Let w = 12 + -16. What is the remainder when v(w) is divided by (-1 - 11)/((-4)/6)?
15
Suppose 0 = k - 3*s - 18, -2*k - 8*s + 12*s = -28. Calculate the remainder when 45 is divided by k.
3
Suppose 0 = -47*d + 14*d + 5346. Calculate the remainder when d is divided by 11.
8
Let t(k) = 3*k**2 + 6*k - 17. Let y be t(-6). Let x = y - 38. What is the remainder when 98 is divided by x?
13
Suppose 5*s - 5*d - 20 = -3*d, -20 = -4*d. Suppose -7*f = -s*f - 12. What is the remainder when f is divided by 4?
0
Let w(z) = 2*z**2 + 6*z - 24. Let y(n) = n**2 + 3*n - 12. Let s(j) = -3*w(j) + 7*y(j). What is the remainder when s(-10) is divided by 16?
10
Let z be 1 + (-2)/(-4)*48/6. Suppose z*h = -77 + 262. What is the remainder when 181 is divided by h?
33
Let y = 12 - 15. Let n be -50*(y + 3 + 1). Let o = -40 - n. Calculate the remainder when 19 is divided by o.
9
Let b be (16/(-24))/((-4)/(-138)). Let p = b - -26. Suppose 2*i - p - 9 = 0. What is the remainder when 21 is divided by i?
3
Let z(c) = 10*c + 55. What is the remainder when z(3) is divided by 13?
7
Let s = 3 - -1. Suppose -6 = -s*j + j. Suppose 0 = -c - j*l + 30, -c - 88 = -4*c - 5*l. What is the remainder when c is divided by 9?
8
Suppose 10*s = 9*s + 37. Calculate the remainder when s/(-3)*(4 + -1 + -9) is divided by 11.
8
Let w = 54 - 41. Calculate the remainder when 24 is divided by w.
11
Let x(s) = s + 17. Let h be x(-9). Suppose h*b = 17*b - 369. Calculate the remainder when b is divided by 25.
16
Suppose 40 = 3*u - 47. Let q(k) be the third derivative of k**6/120 - k**5/15 - k**4/8 - 3*k**2. What is the remainder when u is divided by q(5)?
9
Let x = 40 - 3. Suppose -3*f - 103 = -7*f - 3*b, x = f + 3*b. Calculate the remainder when 2/(-4) + 173/2 is divided by f.
20
Let a be (28/1)/(-7) + (0 - -82). Let o = 96 - a. What is the remainder when 69 is divided by o?
15
Let q = -12 - -14. Suppose 2*o = -2*o + q*b + 26, 0 = 2*o - 3*b - 3. Suppose o*y = 8*y + 14. Calculate the remainder when 40 is divided by y.
12
Suppose -3*v + 11 = 2. Suppose -5*u - 34 = -4*b, -2*b - 3*u + 4 = -2. Let f(g) = 3*g**2 - 19*g + 12. What is the remainder when f(b) is divided by v?
0
Suppose -6 = -3*a - 3*t + 57, 3*a - 4*t = 77. Let o = a + -15. Suppose 2*j - 148 = -5*f, 0 = -f - 5*j + 19 + 6. Calculate the remainder when f is divided by o.
6
Let k(z) = z**2 + z - 6. Let r be k(9). Suppose -4*y = -4*n - r, 3*n - 27 = -y - y. What is the remainder when y is divided by 5?
3
Suppose -280 = -19*w + 11*w. Suppose -12 =