t o(j) = -j**3 + 15*j**2 + 19*j + 21. What is the remainder when o(16) is divided by 14?
13
Suppose 364 = 16*t + 10*t. Suppose f - 4*d = 22 + 11, 2*f + 4*d = 42. Calculate the remainder when f is divided by t.
11
Suppose 0 = 9*a - 14*a + 135. What is the remainder when 79 is divided by a?
25
Suppose 2*i + 2*i + 64 = 2*f, -4*f = -4*i - 148. Calculate the remainder when f is divided by 15.
12
Suppose 2*v - 24 = -2*v. Calculate the remainder when 14 is divided by v.
2
Suppose -5*p - 5*k + 24 = -16, -67 = -5*p + 4*k. Let f(h) = -h**3 + 8*h**2 - 2*h. Let z be f(3). Let d = 71 - z. Calculate the remainder when d is divided by p.
10
Suppose -u - n + 18 = 0, -n + 6*n + 63 = 4*u. Suppose 86 + 2 = 4*i. Let w = i - 16. Calculate the remainder when u is divided by w.
5
Suppose 5*p - 14 = 6. Calculate the remainder when 7 is divided by p.
3
Let b(y) = y**2 + 1. Let k(q) = -q**2 - 5*q. Let c = 4 - 9. Let n be k(c). What is the remainder when b(n) is divided by 1?
0
Suppose 0 = -4*j + x + 1 + 3, 0 = 3*j - 5*x - 20. Let c = 2 + j. Suppose -14 = v - 5*y, 3*y + 7 = c*v - 0*y. What is the remainder when 42 is divided by v?
9
Let p(y) = 19*y - 14. Let j(t) = t**2 - 3*t + 1. Let l be j(2). Let g = l - -14. Calculate the remainder when p(2) is divided by g.
11
Let i(o) = o. Let j(x) = 3*x - 17. Let b(r) = 6*i(r) - j(r). Calculate the remainder when b(8) is divided by 15.
11
Suppose 3*u - 38 = 3*d + 2*d, -5*u - 3*d + 120 = 0. Calculate the remainder when u is divided by 6.
3
Suppose -2*t = -3*z - 12 - 5, 5 = -z. Let w be (2 + t)*32/(-3). Let x = w + 67. What is the remainder when x is divided by 12?
11
Let x be 1/((-1)/(-4)) - 2. Let j = 42 - 29. Suppose k - 7 = x*u - 3*u, k + j = 4*u. What is the remainder when u is divided by 3?
1
Suppose 7*x = j + 2*x - 2, -2*j - 2*x = -64. Suppose 5*r = 7*r + 2. What is the remainder when j is divided by 21*r/(-3)*2?
13
Let z(t) = -t + 4. Let d be z(2). Let y be -2 + 5 + d + -1. Suppose -y*m + 256 = -4*u + 3*u, -m + u = -61. What is the remainder when m is divided by 22?
21
Suppose -2*p + 9 = 5*u, 0*p + 4*p - 25 = -3*u. What is the remainder when 26 is divided by p?
5
Let i = 3 - 3. Suppose 3*p - 27 = -i*p. Suppose -a + 4*a = -p, 2*g = 2*a + 28. Calculate the remainder when 30 is divided by g.
8
Let f(x) = -x**2 - 18*x + 60. Calculate the remainder when f(-19) is divided by 16.
9
Let f = 24 + -12. What is the remainder when 21 is divided by f?
9
Let q = -5 + 8. Calculate the remainder when (-1)/(-4 + 60/16) is divided by q.
1
Suppose 3*c + 26 = -4*r - 20, -60 = 4*c + 5*r. Calculate the remainder when 19 is divided by 15/c*(-20)/3.
9
Let c = -2 + 16. What is the remainder when (130/(-3))/(c/(-21)) is divided by 17?
14
Suppose -15*m + 2*m = -247. Suppose 0 - 4 = -s. Suppose b + 219 = s*b. What is the remainder when b is divided by m?
16
Let f be 216/(-21) + (-4)/(-14). Let x = 14 + f. Calculate the remainder when 5 is divided by x.
1
Let z = 4 + 4. Let s(p) = 2*p**3 + 2*p - 1. Suppose -6 = -2*d - 4. Calculate the remainder when z is divided by s(d).
2
Suppose 2*b - b - 1 = u, 5*u = 3*b + 3. Calculate the remainder when 3 is divided by u.
0
Let c = 358 + -193. Calculate the remainder when c is divided by 56.
53
Let y = -124 + 130. What is the remainder when 82 is divided by y?
4
Let h(r) be the third derivative of -r**5/60 - 5*r**4/24 + r**3/2 + 2*r**2. Calculate the remainder when 4 + 1 + 1/(-1) is divided by h(-5).
1
Suppose 3*h = -h + 84. Calculate the remainder when 82 is divided by h.
19
Let g = -15 - -25. Let x(k) = -k**2 - 5*k + 3. Let n be x(-4). Let h = 11 - n. Calculate the remainder when g is divided by h.
2
Suppose 0 = 7*u - 8*u + 44. Calculate the remainder when 87 is divided by u.
43
Let h(y) = y**2 + 3*y. Let i be h(-5). Let o(b) = b**3 - 11*b**2 + 11*b + 3. Calculate the remainder when o(i) is divided by 5.
3
Let s(q) = q**3 - 12*q**2 + 17. What is the remainder when 66 is divided by s(12)?
15
Let m = -8 + 11. Suppose -5*j - x = -108, -3*x = -m*j + 2*x + 48. Calculate the remainder when j is divided by 12.
9
Suppose 3*z = c - 4*c - 6, -z = -5*c - 28. Suppose 0 = 5*q - k - 60, 0 = z*q - 3*k - 18 - 18. What is the remainder when 312/14 - (-2)/(-7) is divided by q?
10
Suppose -u + x = -45, -4*u + 12 = -2*x - 172. Calculate the remainder when 138 is divided by u.
44
Let s(n) = 3*n - 2. What is the remainder when ((-2)/4)/(2/(-68)) is divided by s(4)?
7
Suppose -3*k + 77 + 130 = 0. What is the remainder when k is divided by 35?
34
Let d = -15 - 17. Let c = d - -94. What is the remainder when c is divided by 22?
18
Let k(j) = j**3 + 3*j + 3*j - 4*j**2 - j - j**2. What is the remainder when 72 is divided by k(5)?
22
Let j(t) = 12*t - 7. Let w be j(8). Let n = w - 56. Calculate the remainder when n is divided by 9.
6
Calculate the remainder when 31 + -6*(-10)/(-15) is divided by 15.
12
What is the remainder when 15*(-2)/((-40)/12) is divided by 3?
0
Suppose 0 = -u + 5*o + 36, 159 = 2*u - o + 42. What is the remainder when u is divided by 9?
7
Suppose 3*a + 2 = 5*a. Let b = a + 1. Suppose q - 18 = v - 6*v, -2*v + b = 0. Calculate the remainder when 37 is divided by q.
11
Suppose 4*r + 3*m = 26, -5*r + m - 5*m + 32 = 0. Let a = -1 + r. What is the remainder when 27 is divided by a?
6
What is the remainder when 91 is divided by 0 - (0/2 + -23)?
22
Suppose 5*a - 4*h - 13 = 0, 3*h = -a - 0*h - 5. Suppose 0 = -b + a - 0. What is the remainder when -5 + 3 - (-10 - b) is divided by 6?
3
Let h = 6 + 6. Let s(i) = -i**2 - 17*i + 5. Calculate the remainder when s(-15) is divided by h.
11
Let t(o) = 2*o + 1. Let c(q) = -q - 1. Let r(k) = -3*c(k) - t(k). Let x be r(-1). Let j = x - -5. Calculate the remainder when j is divided by 4.
2
Suppose -1 = -3*x - 4. Let t = x + 12. What is the remainder when 42 is divided by t?
9
Let r(k) = 5*k. Let b = 2 + -1. Let y be r(b). Suppose a + y*z - 17 = 0, -5*a + 5*z - z + 114 = 0. What is the remainder when a is divided by 8?
6
Let r = 31 - -13. Calculate the remainder when r is divided by ((-1)/(-1))/(2/46).
21
Let d(z) = z**3 - 2*z**2 - 2*z - 1. Let n be d(-1). Let l be n/5 - 12/(-5). What is the remainder when 10 is divided by 5 - (-1 + l - 0)?
2
Suppose 23 + 23 = 2*w. What is the remainder when w is divided by 9?
5
Let v be (6/(-9))/((-8)/12). What is the remainder when (-46 + 5)/(v - 2) is divided by 14?
13
Let i be (-1)/((-4)/(-2))*-10. Suppose i*g = g + 5*z + 197, 41 = g - 4*z. Calculate the remainder when g is divided by 114/8 - 3/12.
11
Let t(n) = 3*n**3 + n. Suppose 2*m + h - 3*h = -20, 0 = -2*m + 3*h - 25. Let z = 6 + m. Calculate the remainder when 10 is divided by t(z).
2
Let z = -4 + 3. Let n(w) = -30*w - 1. Let h be n(z). Let x = h - 7. What is the remainder when x is divided by 8?
6
Suppose -1 = -5*s + 19. Suppose -3*v + 6*v = n + s, 0 = -v + 4*n - 6. Calculate the remainder when -86*1*v/(-4) is divided by 11.
10
Let v(j) = -j**2 - 4*j - 3. Let t be v(-8). Let k(i) = -28*i. Let h be k(2). Let y = t - h. What is the remainder when y is divided by 11?
10
Suppose -4*b - 5*r + 60 = -3*b, 3*r + 15 = 0. Calculate the remainder when b is divided by 22.
19
Let m(j) = 22*j**3 + 2*j**2 - 1. Let r(c) = -c**2 + 1. Let n be r(0). What is the remainder when m(n) is divided by 12?
11
Suppose -10 - 2 = -4*n. Suppose -w - n*v + 3 = 0, -w + 2*v + 53 = 2*w. What is the remainder when 43 is divided by w?
13
Calculate the remainder when 34 is divided by ((-6)/2)/((-7)/42).
16
Let y(o) = o**2 - 5*o - 7. Calculate the remainder when y(-5) is divided by 11.
10
Suppose -4*o + 154 = -130. Calculate the remainder when o is divided by 24.
23
Let f(a) = -a**3 - 2*a**2 - a + 2. Suppose -2*v = 3*d - 2, -5*v - 15 - 3 = -4*d. Let r be f(v). Calculate the remainder when (r/8)/(2/52) is divided by 8.
5
Let j = -4 - -6. Suppose -3*c + 290 = j*c. What is the remainder when c is divided by 9/6*(-80)/(-6)?
18
What is the remainder when 14 is divided by (3/9)/((-6)/(-144))?
6
Let h = 21 - -13. What is the remainder when h is divided by 10?
4
Let q = -3 - 2. Calculate the remainder when 19 is divided by 2/q - 37/(-5).
5
Let z(v) = 6*v + 6. Suppose -m - 4*p = -25, -2*m + 2*p = -0*m. Let t = 48 + -29. What is the remainder when z(m) is divided by t?
17
Suppose -6 = 2*b - 3*b. Let z = -14 + 30. Calculate the remainder whe