hen n is divided by 32.
29
Calculate the remainder when (4/2 - 3) + 44 is divided by ((-90)/(-12))/(1/2).
13
Let t be 4/18 - 16/(-9). Suppose -z - 7 = -t*u, 3*z - 2*z - 11 = -u. What is the remainder when 11 is divided by u?
5
Suppose 0*d = 3*d - 57. Let v(r) = r**3 + 9*r**2 + 6*r - 9. Let a be v(-8). Let u(q) = 6*q - 6. Calculate the remainder when u(a) is divided by d.
17
Let k(u) = 8*u**2. Let s(r) = r**3 - 4*r**2 + 6*r - 2. What is the remainder when s(4) is divided by k(-1)?
6
Suppose -v + 174 = 2*v. Calculate the remainder when v is divided by 15.
13
Suppose -7*u + 2*t = -3*u - 46, 5*t - 2 = u. What is the remainder when 87 is divided by u?
9
Let q(u) be the second derivative of 0 + 1/4*u**4 + 3*u + u**2 - 1/6*u**3. Calculate the remainder when q(2) is divided by 7.
5
Let m(n) = n**2 + 6*n - 11. Let r = -25 + 41. Calculate the remainder when m(-12) is divided by r.
13
Let q = 262 - 170. What is the remainder when q is divided by 32?
28
Suppose 3*s + h + 13 = 4*s, 3 = h. What is the remainder when 54 is divided by s?
6
Suppose q + 0 + 1 = 0. Let p be (2 + q + -1)*-1. Suppose -v = -4*o + 4*v + 116, 2*o + v - 72 = p. What is the remainder when o is divided by 12?
10
Suppose 4*r - 2 - 22 = -2*p, -2*p = -2*r. Suppose 2*l = p*l - 12. Calculate the remainder when l is divided by 2.
0
Let w(j) = -j**3 + 16. What is the remainder when (-1)/(-2) + (-472)/(-16) is divided by w(0)?
14
Suppose -2*n + 3*n - 22 = 0. Let l(r) = -r - 7. Let q be l(-8). What is the remainder when n is divided by (-31)/(-4) + q/4?
6
Suppose 5*x = 2*t + 15, -3*x - 2*x - 5*t + 15 = 0. Let h(k) = 10*k + 1. Calculate the remainder when h(x) is divided by 11.
9
Suppose -12*v + 201 = -123. Calculate the remainder when v is divided by 5.
2
Let d be (-66)/(-7) - (-40)/70. What is the remainder when 1/5 + 288/d is divided by 10?
9
Suppose 2 = 2*w - 26. Suppose m - 20 = w. Calculate the remainder when m is divided by (-11 + -1)/(2/(-3)).
16
Calculate the remainder when 2 is divided by 24/(-6)*(-3)/12.
0
Let l(g) = g**3 + 21*g**2 + 10*g + 25. Let b be l(-20). Let j = -10 + 14. Suppose -b = -w - j*w. What is the remainder when w is divided by 23?
22
Suppose 12 = 12*n - 8*n. Suppose -1 = -3*l + 5. Calculate the remainder when n is divided by l.
1
Suppose -3*u + 5*u = 6. Let t(a) = -a**3 + 6*a**2 + 8*a - 5. Let w be t(7). Suppose -p = w*p, 0 = v + u*p - 15. Calculate the remainder when 43 is divided by v.
13
Suppose 6*f + 2*d = f + 36, -3*d - 6 = 0. Let t = f + -5. Calculate the remainder when t is divided by 1.
0
Let c(j) = j**2 - 6*j + 6. Suppose 2*d - 5*u - 2 = 0, -2*d + 3*u + u = -4. What is the remainder when 17 is divided by c(d)?
5
What is the remainder when 46 is divided by (-2)/(-7) + (-330)/(-21)?
14
Let q(k) = -7*k + 6. Let g(r) = -r**2 - 1. Let h(m) = -2*g(m) + q(m). Calculate the remainder when h(6) is divided by 1*(-2)/4*-26.
12
Let c = -9 - -12. Let o(t) = -18*t + 2. Let z(j) = 53*j - 5. Let a(u) = c*z(u) + 8*o(u). What is the remainder when 29 is divided by a(1)?
13
Let k(w) = 11*w - 23*w - 1 + 10*w. What is the remainder when k(-5) is divided by 6?
3
Suppose f + 16 = 3*f. Let l(m) = -m**2 - 5*m + 3. Let g be l(-5). Suppose 0*x + g*x - 66 = 0. Calculate the remainder when x is divided by f.
6
Suppose 4*j = 24 - 8. Suppose -4*d - 28 = j*y, 4*d + 16 = -2*y - 10. Calculate the remainder when 6 is divided by 4/((d/2)/(-3)).
2
Suppose -5*s - 18 + 48 = 0. Let t = -4 + 38. Let c = -18 + t. What is the remainder when c is divided by s?
4
Suppose -5 + 33 = 4*p. Calculate the remainder when p is divided by 4.
3
Suppose -w + 5*z - 1 = 1, 2*w = -2*z + 8. What is the remainder when 16 is divided by w?
1
Suppose -109 = -4*k - 37. Let c(m) = -m**3 + 4*m**2 + 6*m + 4. Let j(h) = h + 1. Let s(x) = -c(x) + 3*j(x). What is the remainder when s(6) is divided by k?
17
Let o(g) = -g**2 + 16*g + 4. Calculate the remainder when 90 is divided by o(15).
14
Suppose 4*f + 6 = f - 3*a, -a + 1 = 2*f. Suppose f*w + 0*w - 24 = 0. Suppose -33 + w = -l. Calculate the remainder when l is divided by 7.
4
Let o(c) = -c - 2. What is the remainder when 8 is divided by o(-4)?
0
Let a be 1/((-76)/(-78) - 1). Let s = 70 + a. What is the remainder when s is divided by 8?
7
Let r be 2*((-3)/2 + 3). Suppose 24 = 3*t + r. Calculate the remainder when 12 is divided by t.
5
Suppose 0 = -3*l + 6, -2*u - 4*l + 72 = 18. Calculate the remainder when u is divided by 12.
11
Suppose 0 = n - 4*s + s + 3, n - 5*s + 9 = 0. What is the remainder when n is divided by 13/5 - 6/(-15)?
0
Let b = 95 + -42. What is the remainder when b is divided by 11?
9
Suppose -4*n - 5*w = -0*n - 85, -4*n = -3*w - 109. Calculate the remainder when n is divided by 13.
12
Let a(f) = 7*f + 26. Calculate the remainder when a(12) is divided by 28.
26
Let a = 1 + 31. Calculate the remainder when 92 is divided by a.
28
Suppose 19 = 5*l + p, 5*l + p - 3*p - 7 = 0. Suppose 3*s = -5*u + 12, l*s - 4*u - 21 = -6*u. What is the remainder when 16 is divided by s?
7
Let u = -28 + 67. Suppose 0 = p + p. Suppose 3*x + 8*k - 108 = 5*k, -x + 2*k + u = p. Calculate the remainder when x is divided by 19.
18
Let s = 16 - 5. Suppose 5*y + 0*f = -5*f + 5, 0 = 5*y + 2*f - 14. Suppose 3*j + j - 108 = -y*l, -20 = 4*l. Calculate the remainder when j is divided by s.
10
Let z(a) = 4*a + 1. Let d be z(-2). Let b(n) = n**3 + 7*n**2 - n - 1. Calculate the remainder when 16 is divided by b(d).
4
Let j be 2/3 - (-76)/57. Suppose -o + 8*f = 3*f, -j*f + 66 = 4*o. What is the remainder when 59 is divided by o?
14
Suppose -5*n = 4*s - 75, -n - 5*s - 8 = -4*n. What is the remainder when n is divided by 8?
3
Suppose -11 = -3*d + 184. Let f = 45 + -28. What is the remainder when d is divided by f?
14
Let m be (0*1/(-3))/2. Suppose -5*h + 93 + 247 = m. What is the remainder when h is divided by 23?
22
Let n = 3 + 19. What is the remainder when 43 is divided by n?
21
Suppose -b + 30 = -5*i, -3*b + 4*i = -0*b - 46. Calculate the remainder when 37 is divided by b.
7
Suppose 0 = -5*n - 3*l + 519, 8*n + 2*l = 3*n + 521. Suppose -3*y + n = -0*y. Let b = 77 - 68. What is the remainder when y is divided by b?
8
Let i(x) = x**2 + 11*x + 13. Let v be i(-10). Suppose -9 = 3*g, -v*u - 7*g + 3*g = -9. Calculate the remainder when u is divided by 4.
3
Let o(s) = -3*s**3 - 7*s**2 - 3*s - 3. Calculate the remainder when o(-3) is divided by 14.
10
Let a = -1 + 3. Let b(u) = u**2 - 7*u + 10. Calculate the remainder when b(6) is divided by a.
0
Suppose 0 = 4*f + 2*d - 18, 53 = f + 3*f - 5*d. Calculate the remainder when 41 is divided by f.
6
Let i be 9 - (3 - (2 - 1)). Suppose -3*n = -14 - i. Suppose -5*j - u + 63 = 0, 0*j + 4*j + 4*u - 60 = 0. What is the remainder when j is divided by n?
5
Let g(b) = -3*b**3 + 2*b**2 + 2*b. Let p be g(2). Let d = p - -39. Calculate the remainder when d is divided by 14.
13
Let t(f) = f**2 - 3*f - 26. Let c = 0 - -3. Calculate the remainder when c is divided by t(-4).
1
Let q be (-2 + 3)*1/1. Suppose 26 - q = t. Suppose -5*o + t = -20. Calculate the remainder when 26 is divided by o.
8
Suppose 5*q - 3*q - 8 = 0. Suppose -5*w + 25 = b + 2, -5*w + 33 = -q*b. Suppose -2*a - 4*d = d - 40, 2*a = w*d. Calculate the remainder when 18 is divided by a.
8
Let h(r) = -4 - 9 + 10 + r**2 + 6*r. What is the remainder when 10 is divided by h(-7)?
2
Let p(b) = 21*b**2 + b - 1. Let r = 642 - 561. Calculate the remainder when r is divided by p(1).
18
Let b be ((-14)/8)/((-2)/16). Suppose -2*a + b = -16. Calculate the remainder when 44 is divided by a.
14
Suppose -6*x - 200 = -16*x. Calculate the remainder when 157 is divided by x.
17
Let b be ((-5)/2)/(4/(-16)). Calculate the remainder when 9 is divided by (-10 - -1)*b/(-30).
0
Suppose 2*v = 39 + 11. What is the remainder when v is divided by 15?
10
Suppose 4*g - 2*s = 5 + 11, -2*g + 8 = s. What is the remainder when 9 is divided by g?
1
Suppose -51*b = -56*b + 185. Calculate the remainder when b is divided by 13.
11
Let b(x) = x. Let n be b(-6). Let y = n + 10. What is the remainder when 10 is divided by y?
2
Suppose 5*g + u = 116, g - 3*g - 3*u = -49. What is the remainder when g is divided by 12?
11
Suppose 9 = c - 1. Let t = 9 + c. Calculate the remainder when 55 is divided by t.
17
Let a(f) = 8 - 3 + 2*f**2 + 0*f**2 + 4*f - f**2. W