- (-360)/27 is divided by 8?
5
Let s(p) = p**3 + 9*p**2 + 7*p + 5. Calculate the remainder when s(-6) is divided by 18.
17
Suppose 0 = 5*n - 2*n - 15. Let m = 7 - 3. Calculate the remainder when n is divided by m.
1
Let y(f) be the third derivative of -f**5/60 - 5*f**4/24 + f**3 + 3*f**2. Let k be y(-7). Calculate the remainder when 27/4*k/(-3) is divided by 5.
3
Let k(c) = -c**2 + 15*c - 6. What is the remainder when 27 is divided by k(14)?
3
Let w(g) = -g**2 - 6*g - 4. Suppose -4*d + 0*d + 44 = 0. Calculate the remainder when d is divided by w(-4).
3
Suppose 0 = -0*b + 3*b - 21. What is the remainder when 25 is divided by b?
4
What is the remainder when 15 is divided by 8 + -6 + (-8)/(-2)?
3
Suppose 3*i - 2*a = 376, -3*a - 16 = -1. What is the remainder when i is divided by 31?
29
Let q be 2/(-5) - (-68)/20. Let i = q + -1. Suppose -i*w - x - 3*x = -34, 2*x - 56 = -4*w. What is the remainder when 25 is divided by w?
12
Suppose -2*p + 5 = -5. What is the remainder when 7 is divided by p?
2
Let c be (-20)/(-6) - 1/3. Let j be c/6*(3 + -3). Suppose -3*b + o = -132, j = -4*b + 2*b + 3*o + 88. Calculate the remainder when b is divided by 23.
21
Suppose -27*m + 430 = -461. What is the remainder when 128 is divided by m?
29
Suppose -9 - 11 = -4*f. Let l = -3 + f. Suppose 3*h - l = -x, -3 + 19 = 2*x + 2*h. What is the remainder when 30 is divided by x?
8
Let a(p) = p**2 + 6*p + 7. Suppose 7 - 51 = -2*t - 2*j, -j = -3*t + 54. Calculate the remainder when t is divided by a(-6).
5
Let w = -4 + -8. What is the remainder when (66/w)/((-1)/4) is divided by 12?
10
Let q = 1 + 6. Let h = 80 + -48. What is the remainder when h is divided by q?
4
Let a = 34 - 71. Let g = a + 57. Let x(p) = p**3 - 3*p**2 - 7*p - 7. Calculate the remainder when x(6) is divided by g.
19
Suppose 4*w + 4*o = o - 296, -3*w + 3*o - 222 = 0. Let t = w + 125. Calculate the remainder when t is divided by 13.
12
Calculate the remainder when (9/4)/((-21)/(-3080)*5) is divided by -1 - (23*-1 - 1).
20
Let l = -4 + 4. Suppose l*v = -v + 18. Calculate the remainder when v is divided by 5.
3
Suppose -2*w + w = -16. Suppose 0*k + 3*k = 135. Calculate the remainder when (-4)/6*-3 + k is divided by w.
15
Let b = -93 - -150. What is the remainder when b is divided by 20?
17
What is the remainder when (-475)/(-76) + ((-6)/(-8) - 1) is divided by 4?
2
Let a = -52 - -77. Calculate the remainder when 73 is divided by a.
23
Let g = -46 - -76. Suppose -7*z + 64 = -3*z. Calculate the remainder when g is divided by z.
14
Let w(x) = x**2 + 8*x - 4. Let z be w(-8). Calculate the remainder when (-92 + 4)/z - -1 is divided by 6.
5
Calculate the remainder when 26*3 + 5 + -6 is divided by 27.
23
What is the remainder when 327/15 + ((-4)/10)/(-2) is divided by 5?
2
Let i(x) = x**3 + 7*x**2 - 2*x - 2. Suppose -2*p = w - 0*p + 1, 0 = -3*p + 9. Calculate the remainder when i(w) is divided by 7.
5
Suppose 3*x = -3*c + 204, 2*x - 5*c = 3*x - 56. Suppose 0*y = -y + 18. What is the remainder when x is divided by y?
17
Let k(p) = -4*p - 5. What is the remainder when 52 is divided by k(-8)?
25
Suppose s + 4 = 0, 5*q - 24 = -2*s - 2*s. Suppose q = -4*g + 5*p, -p + 2 = -g + 3*p. What is the remainder when 8 is divided by 1 - (g + 4 - 4)?
2
Suppose -13*k + k = -144. What is the remainder when 33 is divided by k?
9
Let l = -5 - -3. Let f be 2*((-3)/l - -1). Suppose 40 = -f*y + 195. Calculate the remainder when y is divided by 11.
9
Let d = 83 + -40. What is the remainder when d is divided by 11?
10
Let d(l) = -l**3 + 8*l**2 - 5*l + 5. Let u be d(7). Let t = -12 + u. What is the remainder when t is divided by 3?
1
Suppose -v = -z - 25, -5*z = -v + 50 - 9. Let x = 27 - 21. Calculate the remainder when v is divided by x.
3
Let z = -41 - -70. Calculate the remainder when z is divided by 15.
14
Suppose 2*t - 108 = -2*t. Let i(k) = -2*k - 4. Let r(l) = -l. Let q(h) = i(h) + r(h). Calculate the remainder when t is divided by q(-6).
13
Let g(j) = -4*j + 2. Let u be g(-10). Suppose 4*w - 66 = u. Calculate the remainder when w is divided by 10.
7
Suppose -57 = -3*l + 90. Let a = l + 38. Suppose -r = -4*r + a. Calculate the remainder when r is divided by 8.
5
Let o(h) = h**2 + 4*h**2 - 4*h - h**3 - 4 + h. Let q be o(3). Let k = q + 16. Calculate the remainder when 61 is divided by k.
19
Let r(p) = 13*p. Let v be (1/3)/((-1)/(-6)). Suppose -6*a = -v*a - 4. What is the remainder when 24 is divided by r(a)?
11
Suppose 4*k - 124 = -0*k. What is the remainder when 121 is divided by k?
28
Suppose -x + 39 = -3*y + 175, 4*y - 2*x = 178. What is the remainder when 139 is divided by y?
45
Let w(r) = -10*r - 3. Let x(v) = v**3 - 6*v**2 + 7*v + 2. Let s be ((-5)/2)/((-1)/2). Calculate the remainder when w(-5) is divided by x(s).
11
Suppose -2*f = f - 24. Suppose 4 = 4*l - f. What is the remainder when l is divided by 3?
0
Let w = 0 - -41. Suppose -5*a = -5*y + 5, -y + 17 = 4*a - a. Suppose 5*z - 2*u = 26 + 29, a*z + 4*u - 44 = 0. What is the remainder when w is divided by z?
8
Suppose 4*t = -32 + 700. Calculate the remainder when t is divided by 56.
55
Let q be -1*((-1)/1 + 224). Let t = -148 - q. Suppose t + 95 = 5*u. Calculate the remainder when u is divided by 12.
10
Suppose 89*q + 200 = 94*q. Calculate the remainder when q is divided by 21.
19
Let f = 10 + -8. Suppose 5 = 3*v - 2*v. Suppose v*t - 5*p = 5, -3*t + 2*p = -f - 2. What is the remainder when 3 is divided by t?
1
Let o(b) = -b**2 + 16*b - 13. Let x be o(13). What is the remainder when 50 is divided by (x/2)/(8 - 7)?
11
Let c(g) be the second derivative of 2*g**3/3 - 8*g. What is the remainder when c(3) is divided by 5?
2
Let q = -13 - 3. Calculate the remainder when 69 is divided by 3/4 + (-276)/q.
15
Let a(p) = 5*p - 1. Suppose 0 = -7*u + 2*u + 10. Calculate the remainder when 26 is divided by a(u).
8
Calculate the remainder when 94 is divided by (-54)/(-2) - (6 + -3).
22
What is the remainder when (-8)/(-32) - 67/(-4) is divided by 9?
8
Let m = -7 - -15. Let x = -4 + 8. Suppose -112 + 20 = -x*a. What is the remainder when a is divided by m?
7
Let b = 149 + -146. What is the remainder when 61 is divided by b?
1
Calculate the remainder when 77 is divided by 489/18 - 2/12.
23
Suppose 4*q + 0*q - 80 = 0. Let i be ((-2)/(-4))/(2/q). Suppose 3*d - i = 1. Calculate the remainder when 3 is divided by d.
1
Let u(q) = -3*q**3 + q. Let x be u(-1). Let l = 43 + -31. What is the remainder when 50 + x*-1 - 2 is divided by l?
10
Suppose -3*v + u + 11 = 0, -3*v + 5 = -2*u + 4*u. Suppose v*h - 2 = 25. What is the remainder when 24 is divided by h?
6
Let k = 13 - -28. Calculate the remainder when k is divided by 23.
18
Let u be 66/2 + 0/1. Suppose -5*m = -3*o + u, 39 = 3*o + 2*o - 3*m. Calculate the remainder when 17 is divided by o.
5
Let m(h) = 4*h**2 + 3*h - 2. Suppose -2*o - 2*o = 36. Let p = 6 + o. What is the remainder when m(p) is divided by 13?
12
Let a(j) = -1 - 11*j + 0*j + j**2 + 2 + 10*j. Calculate the remainder when 20 is divided by a(3).
6
Let k be (-2)/7 - 684/(-42). Let f = -2 - -4. Suppose 3*v = f*l + 4*v - k, 5*v = 5*l - 40. What is the remainder when 29 is divided by l?
5
Let f(h) = -4*h + 8. Suppose 0 = -o - 3*o + 184. Calculate the remainder when o is divided by f(-2).
14
Let y(f) = -f**3 - 5*f**2 + 3*f - 12. Calculate the remainder when 27 is divided by y(-6).
3
Let v(p) = 2*p**2 - p. Let k be v(-1). Suppose -5*h = -r + 31, -107 = -5*r + k*h - 40. Calculate the remainder when 31 is divided by r.
9
Let a = 239 - -114. Suppose -a + 113 = -4*l. Let p = -20 + l. Calculate the remainder when p is divided by 14.
12
Let b = 18 - 6. Suppose -16*w = -17*w + 33. Calculate the remainder when w is divided by b.
9
What is the remainder when (8/5)/(9/315) is divided by 30?
26
Let h = 132 - 49. Suppose -5*y + 28 + 77 = 0. What is the remainder when h is divided by y?
20
Suppose 3*h + 2*b + 3 = 5*b, -3*b = -5*h + 1. Let n(i) = 13*i**2 - i. Let q = -2 - -15. What is the remainder when n(h) is divided by q?
11
Let i(m) = m + 1. Let c = 13 - 31. Calculate the remainder when 5/1 - c/(-6) is divided by i(1).
0
Suppose 5*y - 20 = -0. Let k(a) = a**3 + 2*a**2 - 7*a - 2. What is the remainder when k(y) is divided by 17?
15
Let a(g) be the third derivative of -g**6/120 + g**5/15 + g**4/6 - g**3/2