er when ((-2)/(-5))/(6/270) is divided by 7?
4
Let u(q) = -q**3 + 9*q**2 - 5*q - 16. What is the remainder when u(7) is divided by 10?
7
Suppose 23 = w - 3*m, -3*m + m = 2*w - 38. Let r be 2/(2 - (-44)/(-21)). What is the remainder when w is divided by 2/(-3)*r/2?
6
What is the remainder when 365/(-2)*124/(-155) is divided by 51?
44
Let n = 4 + 11. Suppose 2*a - 3*a = -8. Calculate the remainder when n is divided by a.
7
Suppose 8*u - 13*u = -195. What is the remainder when u is divided by 20?
19
Suppose -16 = -5*w - 6. Calculate the remainder when (10/(-30))/((-2)/36) is divided by w.
0
Suppose 2*r - 5*o - 16 = -0, -4*o - 18 = -2*r. Calculate the remainder when r is divided by 8.
5
Let g = -19 + 79. Calculate the remainder when g is divided by 33.
27
Suppose -2*x = -3*x + 21. What is the remainder when 41 is divided by x?
20
Let u = -29 - -48. Let d = 35 - u. Let j = 19 + -13. Calculate the remainder when d is divided by j.
4
Suppose 0 = -5*q + 10. Suppose q*m + 0*m = -40. Let n = m - -33. What is the remainder when 37 is divided by n?
11
Let h(y) = y**3 + 5*y**2 - 2*y - 7. Let j be h(-5). Suppose -4*v - 11 = i, 2*i + 7 = -j*v - 0. Calculate the remainder when 1 is divided by i.
0
Let w(k) = k**3 - 5*k**2 + 3*k - 6. Suppose -4*g = -2*g + 5*o - 15, -g + 6 = o. What is the remainder when 17 is divided by w(g)?
8
Let m(k) = -k**3 + 4*k**2 + k - 2. Let t be m(4). Suppose 3*x = -t*x + 10. Suppose -3*b + 20 = 2*b. Calculate the remainder when b is divided by x.
0
Suppose -v - 4*v + 48 = 3*r, -r = 4*v - 37. Let j = v - 13. What is the remainder when 22 is divided by j/12 - 74/(-6)?
10
Suppose 2*f = -f - 3. Let h(l) = 35*l**2 - l - 1. Calculate the remainder when h(f) is divided by (9/12)/(1/12).
8
Let y(r) = 2*r**2 - 5*r - 2. Let x be y(4). Calculate the remainder when (-374)/(-5) - (-60)/(-75) is divided by 20/(-2)*x/(-4).
24
Suppose 0 = -5*i + i + 60. Let g = 23 - 17. Calculate the remainder when i is divided by g.
3
Let o = 26 - -8. Let j = 7 + -2. Suppose -3*r - 2*r = -4*f + 33, j*r = 15. Calculate the remainder when o is divided by f.
10
Let r(z) = -z - 3. Let l be r(-8). Let i(x) = -x**2 + 5*x - 5. Let q be i(l). Let u = q + 7. Calculate the remainder when u is divided by 1.
0
Suppose 5*o = -v + 78, -2*o + v = o - 50. Suppose 2*g - f = 22, -5*g + 3*f - 11 = -67. Calculate the remainder when o is divided by g.
6
Let w(b) = b**2 - 10*b + 1. Calculate the remainder when 45 is divided by w(11).
9
Let w = -17 - -19. Suppose 10 - 1 = b. Let n = b + w. What is the remainder when 20 is divided by n?
9
Let n(k) = -k**3 + 1. Suppose -2*o + 0*o = -34. Calculate the remainder when o is divided by n(-2).
8
Suppose 2*i - 106 = 14. Suppose i = 4*f + 2*v, -2*f + 5*f - 50 = v. Suppose 19 + 17 = 4*n. What is the remainder when f is divided by n?
7
Suppose 5*j + 0*j = 120. Suppose -s = -0*u + 4*u - 31, s = -5*u + 40. Calculate the remainder when j is divided by u.
6
Calculate the remainder when (3/(-2))/((-12)/104) is divided by 7.
6
Suppose -a - 4*a = 10. Calculate the remainder when 23 is divided by 4*a*21/(-28).
5
Let f(i) = -2*i**3 + 11*i**2 + 5*i + 7. Let b(d) = -d**2 - 12*d + 19. Let a be b(-13). Calculate the remainder when 3 is divided by f(a).
0
Let z(k) = -k**2 + 9*k - 8. Let n be z(8). Let r be (17 - (n + 1))/1. Suppose -3*i + 59 + r = 0. What is the remainder when i is divided by 13?
12
Suppose 0 = a + 3*a - 12. What is the remainder when a is divided by (-1)/(3/(-21)) + -4?
0
Let w be (-2)/(-4)*(-7 - 1). Let k = 1 - w. Calculate the remainder when 19 is divided by k.
4
Suppose 23*z = 16*z + 98. What is the remainder when 37 is divided by z?
9
Suppose -2*c - 18 = 2*v - 246, -2*c - 4*v = -230. What is the remainder when c is divided by 39?
35
Suppose -146 = -7*o + 3*o - p, -5*p = 4*o - 154. Suppose 51 = 3*f - 3*z, -10*f - 3*z + 109 = -5*f. What is the remainder when o is divided by f?
16
Let x(w) = -w**2 + 8*w - 2. Let n be x(7). Suppose n*g - 312 = 2*a, -3*g = 2*g - 3*a - 313. Calculate the remainder when g is divided by 21.
20
Suppose 3*b + 78 = 5*t - b, t = -b + 21. Calculate the remainder when (7/5)/((-26)/(-25) - 1) is divided by t.
17
Let k = 8 - 5. Let m be 121 + (-2 - (k - 6)). Let v = -69 + m. What is the remainder when v is divided by 14?
11
Let f(h) = -h**3 - 6*h**2 + 4*h - 10. Suppose -5*l = -5*b - 51 + 1, -55 = -4*l + b. Suppose 5*m + l = 115. Calculate the remainder when m is divided by f(-7).
9
Let m = 33 + 8. Let y = m + -14. Calculate the remainder when y is divided by 7.
6
Suppose -35 = -6*w + 133. What is the remainder when w is divided by 8?
4
Suppose -2*b + 95 = -5*z, z - 254 = -5*b - 3*z. Suppose y + 15 = b. Calculate the remainder when y is divided by 19.
16
Let l(y) = y**3 - 13*y**2 + 12*y + 10. Let c be l(12). Let p(t) = 2*t - 7. What is the remainder when 50 is divided by p(c)?
11
Suppose 2*s - 46 = -2*h, 0 = -0*s + s + 5*h - 11. Let u(y) = 8*y**3 + 1. Calculate the remainder when s is divided by u(1).
8
Suppose 15*c = 18*c - 6. Calculate the remainder when 0 + 6 + 3/(-3) is divided by c.
1
Let a(l) = -l**2 - l - 2. Let c be a(0). Let b(i) = -6*i - 1. What is the remainder when 32 is divided by b(c)?
10
Let m(c) = -c**2 - 4*c + 6. Let r be (-3)/9 - (-28)/(-6). Calculate the remainder when 1 is divided by m(r).
0
Let d = 53 - 36. Suppose -3*z + 149 + 1 = 0. Calculate the remainder when z is divided by d.
16
Suppose 0*g - 5*g = -110. Let h(v) = v + 5. Let n be h(-5). Suppose n = -2*a - 6, 0*f + a - 169 = -4*f. Calculate the remainder when f is divided by g.
21
Let h = 7 - 5. Suppose -h = d - 2*s + 1, -s = -4*d + 2. What is the remainder when (20/2 + 1)/d is divided by 4?
3
Suppose 4*d - 26 = -2*b + 6, d = -2*b + 5. Calculate the remainder when d is divided by 5.
4
Let n be (-4 - -4)/(4/2). Suppose 67 = -5*u + 417. Suppose n*f = -5*f + u. What is the remainder when 26 is divided by f?
12
Let c = 125 - 86. What is the remainder when 153 is divided by c?
36
Suppose -c = -5*y - 2, 3*y + 4 = c + c. Suppose 6*l - l - 80 = y. What is the remainder when 29 is divided by l?
13
Let g = -8 - -10. Calculate the remainder when 62/(-3)*(-3)/g is divided by 11.
9
Suppose 3*b + 29 = t - 63, 5*t - 477 = -2*b. What is the remainder when t is divided by 32?
31
Suppose -5*l + 4*s - 3*s = -72, l - 2*s - 18 = 0. What is the remainder when l is divided by 5?
4
Suppose 2*w - 3*z + 6*z - 17 = 0, -3*w - 2*z + 23 = 0. Let r(g) = g**2 - 2*g + 9. Calculate the remainder when r(w) is divided by 15.
14
Suppose 13 = h + 2. Let c(o) = -2*o**3 - 3*o**2 + 4*o + 3. Let j be c(-3). Let d = j + -11. Calculate the remainder when h is divided by d.
4
Suppose 4*t - 187 = 101. Suppose f - t = -3*f. Let n(d) = -8*d - 7. What is the remainder when n(-5) is divided by f?
15
Let i(d) = -6*d**2 + 6*d + 3. Let r be i(5). Let m = r + 258. Suppose -v + m = 5*l, 3*v = -3*l + 2*v + 85. What is the remainder when l is divided by 10?
8
Let w be (-2 - -2) + 2*1. Let q(t) = 2*t**3 - 3*t**2 + 3*t - 2. Calculate the remainder when (-44 + -1)*(-10)/30 is divided by q(w).
7
Let q = 5 + -1. Calculate the remainder when 14 is divided by q.
2
Suppose -3*q + 31 + 44 = 0. Calculate the remainder when q is divided by 13.
12
Let v(h) = 12*h + 2. Calculate the remainder when v(3) is divided by 10.
8
What is the remainder when 173 is divided by (-105)/(-4) + (-90)/72?
23
Let o = 1 + 12. Let b(h) = h + 1. What is the remainder when o is divided by b(6)?
6
Let t be 1/((-1)/3) - -2. Calculate the remainder when 26 is divided by 0 + t - (-14 + -1).
12
Suppose 0 = 6*s - 150 - 414. What is the remainder when s is divided by 19?
18
Suppose -3*b - 2*b + 15 = 0. Calculate the remainder when 3 is divided by b.
0
Let h(k) be the second derivative of k**5/20 - k**4/3 - 3*k**3/2 + 5*k**2/2 + 4*k. What is the remainder when 66 is divided by h(6)?
20
Suppose -4*d - 4 = -5*d. Suppose -d*i + 115 = 303. Let p = i + 85. Calculate the remainder when p is divided by 13.
12
Suppose 14*c - 9*c - 25 = 0. What is the remainder when 14 is divided by c?
4
Suppose 0 = i - 3*t - 18, -106 = 2*i - 7*i - t. Calculate the remainder when i is divided by (-10)/(-20)*4*3.
3
Let m be 0 + -1 - (0 + -4). Suppose -3*z + 5*k = 26, -m*z - 2*k + 3 - 1 = 0. What is the remainder when 32 is divided by (z/1)/(4/(-22))?
10
Suppose -112 