et s(q) = q - 6. Let f be s(6). Suppose 2*y - 26 = -4*t + 18, f = -5*t + v. Calculate the remainder when y is divided by 5.
2
Let s(f) = f**3 - 5*f**2 - f + 2. Let i(d) = -2 + 9 + 2*d - 4 + 4. What is the remainder when s(6) is divided by i(5)?
15
Suppose k - p - 6 = 0, -4*k = k - 4*p - 28. Suppose 3*r - 24 = -k*m, m - 11 = -4*r - 5. What is the remainder when 11 is divided by m?
5
Suppose c + 0*n - 3*n - 16 = 0, -c + 15 = -2*n. Suppose 2*t = -3*i + 121, 0*t + 4*t = 20. Calculate the remainder when i is divided by c.
11
Suppose 3*v - 16 = v. What is the remainder when 3 is divided by 3/4 + 2/v?
0
Let f be (-4)/(-8)*(1 + 5). Suppose -z - f*z = -20. Suppose -2*u = -3*w + 2 - 42, z*w = u - 20. What is the remainder when u is divided by 7?
6
Suppose 5*x - 10 - 5 = -5*g, -2 = g. Suppose 2*c - 16 = -3*y, -5*c - 4 - 6 = -x*y. Calculate the remainder when y is divided by 2.
0
Let r(n) = -n**2 - 2*n. Let f be r(3). Let z = f - -53. Suppose -3*o + z - 5 = 0. What is the remainder when 30 is divided by o?
8
Suppose 12*p - 45 - 147 = 0. Let r be 6/(-2)*(-10)/(-6). Let g(w) = -7*w - 4. Calculate the remainder when g(r) is divided by p.
15
Suppose 109 = -3*c - 119. What is the remainder when c/(-3) + (-16)/(-24) is divided by 9?
8
Suppose 29 = -4*d + 141. What is the remainder when d is divided by 5?
3
Let g(y) = y**3 - 4*y**2 + 3*y - 4. Let p be g(3). Let u = p - -7. What is the remainder when 4 is divided by 1 - 2*u/(-6)?
0
Let c(s) = -s + 22. Calculate the remainder when c(0) is divided by 9.
4
Let d = -1 - -9. Suppose 5*v - 16 = 94. What is the remainder when v is divided by d?
6
Let c(z) = -z**3 + z - 4. Let b be c(-3). Suppose 0*o - 5*o = -60. Let p = b + o. Calculate the remainder when p is divided by 11.
10
Let m(b) = 9*b. What is the remainder when m(7) is divided by 33?
30
Suppose 0 = 14*i + 931 - 4599. Calculate the remainder when i is divided by 44.
42
Suppose -5*g + 42 = -18. Suppose n + g = 4*n. Suppose 0 = 4*q - 28 + n. Calculate the remainder when q is divided by 4.
2
What is the remainder when 29 is divided by 3*(-4)/6 - (1 + -9)?
5
Let b(w) = 15*w**2 - 1. Calculate the remainder when 53 is divided by b(-1).
11
Suppose -5*p = -2*p - 12. Let o(j) = 3*j**2 + 4*j - 5. Calculate the remainder when o(p) is divided by 20.
19
Let g = 3 - -4. Let i = g - 4. Calculate the remainder when i is divided by 1.
0
Let m = 11 - 5. What is the remainder when 16 is divided by m?
4
Suppose 9 = h + 2*h. Suppose 4 = -0*o + 4*o. What is the remainder when h is divided by o?
0
Let m be 8/(-12)*2*9. What is the remainder when 77 is divided by (60/18)/((-2)/m)?
17
Suppose -2*y = -7*y + 25. Suppose -g - y = -1. What is the remainder when (38/g)/((-3)/12) is divided by 20?
18
Let p = -14 + 55. What is the remainder when p is divided by 15?
11
Let b(i) = i**2 + 6*i + 5. Let p be b(-5). Suppose v - 12 = -p*v. Suppose -v = -4*n - 0. What is the remainder when 9 is divided by n?
0
Suppose -30*b + 44 = -26*b. Calculate the remainder when b is divided by 3.
2
What is the remainder when 27 is divided by (1 + 7/(-2))*-2?
2
Let g = 7 + -3. Let y(n) = -n - 12. Let v be y(-9). Let z(m) = -m**2 - 4*m. Calculate the remainder when g is divided by z(v).
1
Suppose 5*u + 2*g = 463, -4*u + 443 = u - 3*g. Suppose u - 6 = 5*v. Suppose 2*t = 4*a - 44, -3*a + 15 = -t - v. Calculate the remainder when 27 is divided by a.
7
Let a be ((-6)/(-4))/((-3)/(-10)). Suppose 0*p = 3*p, a*k - 2*p = 35. Let j = 43 + -17. What is the remainder when j is divided by k?
5
Let u = 1 - -4. Suppose 3*z - 3 = 6. Suppose -38 = z*h - 5*h - 4*n, -u*n + 41 = 2*h. Calculate the remainder when 37 is divided by h.
11
Let n = -4 - -5. What is the remainder when 848/40 - n/5 is divided by 6?
3
Let l = -22 + 44. Calculate the remainder when l is divided by 8.
6
What is the remainder when (0 - 1)*(-43 + 2) is divided by 14?
13
Let x(f) = f**3 + 6*f**2 + 6*f + 6. Let b be x(-5). Let k = b + 5. Calculate the remainder when 11 is divided by k.
5
Suppose -x + 3 = 4. Let j = x + 13. What is the remainder when 34 is divided by j?
10
Calculate the remainder when 820/14 + (-12)/21 is divided by 21.
16
Calculate the remainder when 47 is divided by (0 + (-24)/(-14))*7.
11
Let c(k) = k + 4. Suppose 10*n - 6 = 12*n. What is the remainder when 1 is divided by c(n)?
0
Let p(h) = -h**2 + 7. Let m(f) = 2*f**2 + f - 1. Let t be m(1). Calculate the remainder when p(0) is divided by (1/3)/(t/12).
1
Let g(v) = 0 + 4 - 2*v**3 + 8*v**2 + 2*v + 3*v**3. Calculate the remainder when g(-6) is divided by 22.
20
Suppose -3*r = -0*r - 24. Let v(k) = 4*k**2 - 4*k + 5. Let p(n) = n**2 - n + 1. Let d(l) = -3*p(l) + v(l). What is the remainder when d(4) is divided by r?
6
Let w(y) = -y**2 + 9*y - 4. Let r be (8/(-10))/(4/(-40)). What is the remainder when 15 is divided by w(r)?
3
Suppose 2*v = 4*w + 4 - 22, -4*w + 33 = -5*v. Suppose 0 = h - 0 + 1, -11 = -3*c + w*h. What is the remainder when 5 is divided by c?
2
Calculate the remainder when 45 is divided by (-6 - -1) + (23 - 1).
11
Suppose 0*l - 58 = -5*r + l, 0 = -4*r - 5*l + 29. Let s(u) = 2*u**2 - 25*u - 10. Calculate the remainder when s(14) is divided by r.
10
Suppose 0 = 4*y + 1 + 3. Calculate the remainder when ((-230)/25)/(y/5) is divided by 16.
14
Let v = 73 - 30. What is the remainder when 128 is divided by v?
42
Let f = 11 - 8. What is the remainder when f is divided by (1/2)/((-1)/(-2))?
0
Let p = 16 + 3. What is the remainder when 74 is divided by p?
17
Calculate the remainder when 94 is divided by (-4)/26 - (-4180)/130.
30
What is the remainder when (-7)/(-4)*(3 + 1) is divided by 4?
3
Suppose -3*c - 42 + 10 = -t, -4*t = 3*c - 173. Suppose z = -5*f + 34, z - f = f + 6. What is the remainder when t is divided by z?
13
Let o = 67 - -30. What is the remainder when o is divided by 20?
17
Let x = -20 - -30. Let h(n) = -n**3 + 9*n**2 + 11*n - 5. Calculate the remainder when 8 is divided by h(x).
3
Let o(b) = -2*b - 7. Let g be o(-5). Suppose 4*n + g*j = 136, n - 51 = -8*j + 3*j. What is the remainder when n is divided by 8?
7
Suppose 228 = 4*f - 0*f. Calculate the remainder when f is divided by 10.
7
Let d = -2 + -4. Let k = d + 12. What is the remainder when 17 is divided by k?
5
Let v(m) = 32*m**2 - 2*m + 1. What is the remainder when v(1) is divided by 6/15 - (-53)/5?
9
Suppose -a = 3*a - 124. Let d = -19 + a. Suppose -4*p + d = -4. What is the remainder when 7 is divided by p?
3
Suppose -2*q + 8 = 2*j, 2*j + q = -0*j + 10. Suppose 15 = z + 2*s + 3, -8 = z - 3*s. Calculate the remainder when j is divided by z.
2
Let a = -12 + 20. What is the remainder when 21 is divided by a?
5
Let m(c) = c + 10. Calculate the remainder when 44 is divided by m(5).
14
Suppose -4*k + 63 + 5 = -2*q, -42 = -2*k + 3*q. Suppose 3*m - k = -3*d, d - 1 = m - 0. Calculate the remainder when 13 is divided by (d/9)/((-1)/(-15)).
3
Let u(s) = s**2 + 7*s + 2. Let f be u(-8). Suppose 0 = -3*o + f + 44. Suppose 2*h = 6*h - 212. Calculate the remainder when h is divided by o.
17
Let w(v) = -v**3 - 2*v - 1. Let k be w(-1). Let r(u) = k*u - 2 + u + 4 + 8*u. Calculate the remainder when r(2) is divided by 13.
11
Let r be 1*1/(4/84). What is the remainder when 27 is divided by 300/r - (-2)/(-7)?
13
Let d(j) = 2*j - 2. Calculate the remainder when 45 is divided by d(9).
13
Let k = 6 - 4. Suppose -12 - 20 = -k*n. Calculate the remainder when n is divided by 11 + 4/(-2 - 0).
7
Let i = -4 + 3. Let d = 8 - -11. Let f = d - i. Calculate the remainder when 77 is divided by f.
17
Let g(i) = -15*i - 1. Calculate the remainder when g(-1) is divided by 3.
2
Suppose -145 = -5*j + 50. Calculate the remainder when j is divided by 10.
9
Suppose 5*o - 95 = 15. Calculate the remainder when 63 is divided by o.
19
Let r(p) = 65*p**3 - 2*p**2 + p. Calculate the remainder when r(1) is divided by 22.
20
Suppose -t + 0*t + 4 = 0. Suppose 0 = -q + t*q - 42. Suppose 3*f = 2*f + 26. Calculate the remainder when f is divided by q.
12
What is the remainder when 67 is divided by 6/12*14/1?
4
Let v(t) = -7*t - 6. Let b = -19 - -31. Suppose a - b - 3 = 0. What is the remainder when v(-5) is divided by a?
14
Let s(t) = -2*t - 8. Let u be s(-6). Suppose -118 = -u*p + 26. What is the remainder when 105 is divided by p?
33
Let x(f) = f**2 + 7*f - 3. Let w be