divided by 49.
45
Let d = -170 + 269. What is the remainder when d is divided by 25?
24
Suppose -a = 2*a + 3*n - 72, a - n - 14 = 0. Suppose 2*j = 3*j - 5. What is the remainder when a is divided by j?
4
Let s = 120 - 62. Suppose p - 25 = 2*d, 6*p = 4*p + 2*d + s. Suppose u + p = 4*u. What is the remainder when 31 is divided by u?
9
Let r(k) = -2*k + 1. Let u be r(1). Let x = 7 + u. Suppose -3*p - 2*n + 45 = 18, 2*p = -n + 19. What is the remainder when p is divided by x?
5
Suppose b = -a - 7 + 29, a - 22 = -4*b. Let c(u) = 4*u - 2 - 2*u - 2. Calculate the remainder when a is divided by c(6).
6
Suppose 0 = z - 4*z + 54. Suppose 3*u - z = u. Let v(o) = -o**3 + 12*o**2 + 16*o - 23. What is the remainder when v(13) is divided by u?
7
Let r(b) = -b**2 + 8*b. Calculate the remainder when 46 is divided by r(6).
10
Suppose 3*z + 38 + 3 = 4*q, -4*q + 42 = -2*z. Calculate the remainder when 42 is divided by q.
9
Let k be (-180)/8*(-4)/6. What is the remainder when (-6)/(-9) + 410/k is divided by 10?
8
Suppose 2*z - 115 = 5*j, -2*j - 4*z - 21 = 25. Let i = j - -44. What is the remainder when 40 is divided by i?
19
Calculate the remainder when 6/(84/(-22) - -4) is divided by 12.
9
Let t = -67 + 107. Calculate the remainder when t is divided by (-4 - (3 + -6)) + 15.
12
Let y(d) = 4*d - 4 - 7 + 7. What is the remainder when y(5) is divided by 9?
7
Suppose -3*o = 3, 0 = 4*m + 5*o - 8 - 11. What is the remainder when 13 is divided by m?
1
Let i(z) = 179*z + 2. Let j be i(2). Suppose -4*f + j = -0*f. Let q = f + -26. Calculate the remainder when q is divided by 22.
20
Let b(v) = v**2 - 18*v - 9. Suppose -2*c + 10 = 3*a - 40, -3*c - 78 = -4*a. Calculate the remainder when a is divided by b(19).
8
Let w(f) = f**3 + 8*f**2 + f + 7. What is the remainder when w(-5) is divided by 20?
17
Let l(r) = r**2 - 4*r - 4. Let y be l(4). Let c = 6 + y. Calculate the remainder when 7 is divided by c.
1
Suppose 3*d + 118 = 5*q, q + 3*d + d - 42 = 0. What is the remainder when 48 is divided by q?
22
Let p(x) be the second derivative of -x**5/20 - x**4/3 + x**3/6 - 3*x**2/2 - x. Let k be 30/50 + (-28)/5. Calculate the remainder when 32 is divided by p(k).
15
Suppose 50 = 2*w - 5*o, 3*o - 23 = -w + 2. Let k = 22 + 52. Calculate the remainder when k is divided by w.
24
Let c(k) = 13*k**3 - 2*k**2 + k. What is the remainder when c(1) is divided by 5?
2
Let t = -40 + 77. Suppose d + d = 8. Let l(m) = 2*m**2 - 5*m + 1. Calculate the remainder when t is divided by l(d).
11
Let l(z) = z**3 + 6*z**2 + 2*z - 5. Let q be l(-6). Let s = q - 10. Let p = -12 - s. Calculate the remainder when 29 is divided by p.
14
Let u be 0 - (-2 - -2 - 43). Suppose -5*t = 5*a - 25, u = 4*a + 2*t + 13. Calculate the remainder when 49 is divided by a.
9
Let r(m) = 2*m**2 - 2*m - 1. Let i(k) = -k**2 - 24*k + 10. Calculate the remainder when i(-20) is divided by r(-3).
21
Let n = -26 - -44. What is the remainder when 35 is divided by n?
17
Suppose -5 = -4*b - 125. Let x = b + 56. Let l(f) = -6*f**3 + 2*f**2 + 2*f + 1. Calculate the remainder when x is divided by l(-1).
5
Suppose 0 = 2*i + 6. Let a = 13 - i. What is the remainder when 63 is divided by a?
15
Let r = -48 + 59. Calculate the remainder when 90/(-4)*(-4)/3 is divided by r.
8
Suppose 4*u - 44 = -y + u, -231 = -5*y - 4*u. What is the remainder when y is divided by 10?
7
Suppose 2*l = -c + 19, 4*l - 73 = -3*c + 2*l. What is the remainder when c is divided by 7?
6
Let i be -4 + 3 + 2 + 2. Suppose -h - g + 126 = 2*h, -3*g = i*h - 126. What is the remainder when h is divided by 15?
12
Let i = -17 + 38. Let u = 107 + -67. Calculate the remainder when u is divided by i.
19
Calculate the remainder when 8 is divided by (2 + -3)/(-1 + 2/3).
2
Let k = 6 - -6. What is the remainder when 45 is divided by k?
9
Suppose l + 130 = 6*l. Suppose -2*n - 100 = -6*n. Suppose -t - 4*x + 19 = -3*x, 5*x - n = 0. Calculate the remainder when l is divided by t.
12
Suppose 13 - 31 = -2*i. Calculate the remainder when 14 is divided by i.
5
Let p = 21 + 10. Let v(a) = a + 49. Let s be v(0). Suppose -2*g - 5*x = -s, -3*x = x - 12. What is the remainder when p is divided by g?
14
Let k(j) = 13*j**2 + 2*j - 2. Suppose -45 - 90 = -5*c + 5*q, -2*q = 5*c - 114. What is the remainder when c is divided by k(1)?
11
Suppose 3*g - 3*m = 72, 0*m = 3*g + m - 84. What is the remainder when g is divided by 14?
13
Calculate the remainder when 115 is divided by -7*16/84*-18.
19
Let c = 15 + -8. What is the remainder when 18 is divided by c?
4
Suppose 3*l + 12 = 4*l. Let v(y) = y**3 - 2*y**2 + 2. What is the remainder when v(4) is divided by l?
10
Let d(o) = -2*o - 10. Suppose 20 - 6 = -2*a. Let x be d(a). Suppose -v + x = -6. Calculate the remainder when 28 is divided by v.
8
Suppose -4 = m - 2*m. Suppose -2*n - 10 = -m*n. What is the remainder when 14 is divided by n?
4
What is the remainder when (8/(-10))/(2/(-120)) is divided by 17?
14
Let r(b) = b**3 + 7*b**2 - b - 5. Let h be r(-7). Let p be 58 - (2 - 2 - h). Suppose 5*u - 25 - p = 0. What is the remainder when 32 is divided by u?
15
Suppose p = -2*x + 60, -4*p = -3*p. Let f = x - 9. Calculate the remainder when f is divided by 11.
10
Suppose -8 = -y + 2*j, 3*j = 4*y - 3 - 9. What is the remainder when 67 is divided by y/(-3) + 46/2?
21
Suppose -l = 1 - 8. Calculate the remainder when 23 is divided by l.
2
Let q(w) = w**3 - 15*w**2 - 17*w + 24. Calculate the remainder when 9 is divided by q(16).
1
Let x(g) be the first derivative of -3*g**2/2 - 2*g - 5. What is the remainder when x(-3) is divided by 2?
1
Calculate the remainder when (1 + ((-15)/(-2))/(-3))*-62 is divided by 48.
45
Let z(p) = 18*p**2 + 1. Suppose -18*j = -21*j + 123. Let i = j - 31. What is the remainder when z(-1) is divided by i?
9
Let i = 1 + 1. Suppose 5*q = -i*j + 50, 4*j + 16 = -4. What is the remainder when 21 is divided by q?
9
Calculate the remainder when ((-4)/((-24)/(-9)))/((-3)/80) is divided by 7.
5
Let w be (-24)/10 - (-2)/5. Let v = 22 + 4. What is the remainder when v is divided by 9/(-1*w/2)?
8
Suppose 2*a + a - o - 15 = 0, o + 19 = 4*a. Suppose -2*j - a = -38. Let b = -28 - -33. What is the remainder when j is divided by b?
2
Suppose 3 = j + 2, 0 = 3*n + 5*j - 68. Suppose 180 = -3*g + 6*g. Calculate the remainder when g is divided by n.
18
Suppose 4*p - 78 = 154. Suppose -p = 2*v + 38. Let d = -32 - v. Calculate the remainder when d is divided by 6.
4
Let g be -7 + 4/(-2) + 1. Let k(y) be the third derivative of -y**4/24 - y**3 + 3*y**2. What is the remainder when 5 is divided by k(g)?
1
Suppose 5*f + 46 = 196. What is the remainder when 119 is divided by f?
29
Let f be (-8)/12 + (-76)/(-6). Calculate the remainder when (258/9)/(6/9) is divided by f - (-1 + -1) - -1.
13
Let t(q) = -q + 8. Let a be t(6). Suppose 0 = 5*n - r + a*r - 51, 0 = 4*n - 3*r - 37. What is the remainder when n is divided by 4?
2
Suppose -g = -4*g + 9. Suppose -5*x = -3*k + 37, 4*k + g*x = -k + 39. Calculate the remainder when 25 is divided by k.
7
Let g(q) = -4*q - 84. Calculate the remainder when 23 is divided by g(-24).
11
Let l(y) = 5*y**3 - y**2 + y - 1. Let v be l(1). Suppose -v*s + 40 = 3*i, s = 4*i - 3*s - 16. Calculate the remainder when 30 is divided by i.
6
Suppose -2*j - 258 = -5*w, -5*j + 99 = 2*w - 10*j. Suppose 9*n - 4*n - 55 = 0. Calculate the remainder when n is divided by 8/w + 100/26.
3
Suppose 0 = 5*v + 4*d - 2*d - 90, 2*v - 4*d - 60 = 0. Calculate the remainder when 117 is divided by v.
17
Suppose 0 = -3*g + 8 + 1. Let x(j) = 4*j - 3. Let a = -65 - -91. Calculate the remainder when a is divided by x(g).
8
Let j(d) = -d**2 + 5*d - 2. Let v be j(3). Let n = 16 + -11. Suppose -v*q = i - 14, 0 = -i + n*i - q - 22. Calculate the remainder when 17 is divided by i.
5
Suppose 25 = 2*u - 9. Suppose -f + 4*k = -21, 0*k = -3*f + k + 30. What is the remainder when u is divided by f?
8
Let u(t) = 50*t**2 - 1. Let q be (1 - 0 - -1)/1. Suppose 3*i - 36 = -5*a, i - a - q*a = 26. Calculate the remainder when u(-1) is divided by i.
15
Suppose 0 = -4*s - l + 144, 2*l + 0*l = 2*s - 82. Let x(j) = j**3 - j**2 - 3*j + 4. What is the remainder when s is divided by x(3)?
11
Calculate the remainder when ((-35)/10 + 2)/(3/(-82)) is divided by 5*(-4)/(-2) + 1.
8
Suppose 2*f - 445 = 7*f.