he remainder when 20 is divided by y.
9
Suppose 1 = 3*s - 5. Suppose 5*z + 3*n = 3, -4*z - 6*n + s*n - 4 = 0. What is the remainder when z is divided by 1?
0
Let m(g) = g**3 + 4*g**2 - 2*g + 5. Let l be m(-5). What is the remainder when (-4)/(-8)*6*10 is divided by (2*1)/(l/(-55))?
8
Suppose 0 = -5*r + 23 + 72. Suppose -5*j + 61 = 11. What is the remainder when r is divided by j?
9
Let g = 27 + 11. What is the remainder when g is divided by 4?
2
Suppose 11*p = 15*p - 60. Calculate the remainder when p is divided by 4.
3
Let h(s) = s + 19. Let o(l) = -2*l - 39. Let a(b) = 7*h(b) + 3*o(b). Let q = -171 - -202. What is the remainder when q is divided by a(0)?
15
Suppose 0 = -3*s + 4*r + 56 - 8, -3*s = 4*r - 72. Let p be (9/(-6))/(2/s). Calculate the remainder when -1 + (-2 - p) + -2 is divided by 4.
2
Let l = 112 - 85. Calculate the remainder when 131 is divided by l.
23
Let n = 13 + -2. Suppose -6*q = o - n*q - 20, q = -4*o + 164. Suppose 0 = y - 3*g - o, 3*y + g = -0*g + 70. What is the remainder when y is divided by 13?
12
Let o(m) be the third derivative of -m**5/60 + 5*m**4/12 - m**3/2 - 2*m**2. Calculate the remainder when 17 is divided by o(9).
5
Suppose 0 = -5*p + 17 + 23. Calculate the remainder when 30 is divided by p.
6
Let q = -5 - -41. What is the remainder when q is divided by 8?
4
Suppose 10*w - 5*w - 20 = 0. Let t(x) = 2*x**2 - 2*x**3 + 6 + 3*x**3 + 3*x**2. Calculate the remainder when t(-5) is divided by w.
2
Let u(x) = -x**2 + 10*x + 4. Let d be u(11). What is the remainder when 590/18 + 4/18 is divided by d/28 - 69/(-4)?
16
Let v be 3/((27/6)/3). Suppose -2*o - 2*p + 12 = 0, p = -0*o - v*o + 14. Calculate the remainder when 15 is divided by o.
7
Suppose h = -2*g + 2, 2*g = -1 + 5. Let y(a) = 4*a**2 - 2*a - 1. Calculate the remainder when 37 is divided by y(h).
18
Let u = -11 - -14. Suppose f + 5 = v, u*f - 41 = -5*v - 0*f. What is the remainder when v is divided by 2?
1
Suppose 0 = 5*f + 2*f - 224. Calculate the remainder when 93 is divided by f.
29
Suppose -4*a - u = -37, 5*a - 55 = -6*u + 3*u. Let z be 4/1*5/5. Suppose l = -3*n + 3 - z, l + 3 = -4*n. Calculate the remainder when a is divided by l.
3
Let u(q) = 5*q**3 + 2*q - 3. What is the remainder when u(2) is divided by 11?
8
Suppose 5*o - 634 = -34. Let f = -49 + o. Calculate the remainder when f is divided by 18.
17
Let a = -66 - -99. Let n = 24 - 17. What is the remainder when a is divided by n?
5
Let y be 336*(12/(-9) - -2). Suppose -k - 3*k = -y. What is the remainder when k is divided by (19/(-3))/((-2)/6)?
18
Suppose 2*q = -0*q. Suppose 5*g - 34 + 4 = q. Calculate the remainder when 0 - (20/(-2) - 1) is divided by g.
5
Let s be 3199 + (1 - -3 - 2). What is the remainder when (-2)/3*s/(-22) is divided by 33?
31
Suppose 5*x + 81 = 3*l, -2*l = 5*x - 96 + 17. Let k(v) = -v**3 + v**2 + v + 2. Calculate the remainder when 2 + l + 2 + -2 is divided by k(-2).
10
Let b(z) = -z**2 - 10*z + 6. What is the remainder when b(-10) is divided by 4?
2
Suppose 4*x = -c + 5*c - 104, -68 = -4*c - 5*x. Suppose -6*b + 13 = -83. Let z = c + b. Calculate the remainder when z is divided by 20.
18
Let r(y) = y + 10. What is the remainder when 112 is divided by r(13)?
20
Suppose 6*v - 111 = 81. Calculate the remainder when 127 is divided by v.
31
Let t = 50 - 30. What is the remainder when 37 is divided by t?
17
Let j = 13 - -7. What is the remainder when 158 is divided by j?
18
Let t = 25 - 4. Suppose -v = v + x - 13, -2*x = -v + 4. What is the remainder when t is divided by v?
3
Suppose -5*w + 13 + 2 = 0. Suppose -k + 6 = 3*r, w*r + 6 = 6*k - 3*k. What is the remainder when 4 is divided by k?
1
Let q(n) = n**2 + n + 28. Let a be q(0). Suppose -y + 51 = -4*y. Let m = y + a. What is the remainder when 31 is divided by m?
9
Suppose 57 = k - 3*r, -3*k - 2*r - 39 + 177 = 0. Calculate the remainder when k is divided by 25.
23
Let p(d) = -d**3 + 4*d**2 + 16*d - 9. Let v be (-63)/6 + (-1)/2. Let t = v + 19. Calculate the remainder when p(6) is divided by t.
7
Suppose 3*m - 2*m = 16. Calculate the remainder when 78 is divided by m.
14
Let p(h) = -h**3 + 3*h**2 + h + 4. Let o be p(3). Let k(d) = d**3 - 6*d**2 + d - 7. Calculate the remainder when k(o) is divided by 17.
15
What is the remainder when 14 is divided by (-1)/5 + (-468)/(-90)?
4
Let z = 85 - 64. What is the remainder when 83 is divided by z?
20
Let o = -54 + 95. Let b = -6 + o. Calculate the remainder when b is divided by 18.
17
Suppose 0 = 4*q - 32 - 0. Let u(j) = j**2 - 9*j + 8. Let b be u(q). Suppose 2*y - 2 - 28 = -4*a, b = y - a - 15. What is the remainder when 28 is divided by y?
13
Suppose 3*l - w = 8, 0 = 4*l + w - 6*w - 7. Let b(g) = -3*g + 1. Calculate the remainder when b(-3) is divided by l.
1
Let a(k) = k**3 + 7*k**2 + 4*k + 12. What is the remainder when a(-6) is divided by 7?
3
Let x(q) = -2*q - 13. Let p be x(-9). Suppose -z - 36 = -p*z. What is the remainder when 17 is divided by z?
8
Suppose 0 = -n, -2*n + 12 - 54 = 3*y. Let m = y - -27. Calculate the remainder when 24 is divided by m.
11
Let s be (-2 - -1)/(3/(-102)). Suppose -c = c - s. Suppose c = 3*f - 13. Calculate the remainder when f is divided by 6.
4
Suppose -4*i = 5*t + 68, -5*t - 8 = -3*t. Let a(f) = f**2 + 12*f + 18. Let z be a(i). Suppose h + 2*h = z. What is the remainder when 11 is divided by h?
5
Let t = 7 - 14. Let k = 11 + t. Calculate the remainder when 15 is divided by k.
3
Let c(x) = x**3 + 4*x**2 - 3*x - 2. Let n be c(-4). Let g be 3 - -3 - (0 - -3). Suppose -u - n = -g*u. What is the remainder when u is divided by 3?
2
Let x = 4 + -9. Let g be x/15 + (-13)/(-3). Suppose -2*i + q - 64 = -6*i, 2*i + g*q = 18. What is the remainder when 33 is divided by i?
16
Suppose 71 - 9 = j. What is the remainder when j is divided by 21?
20
Let m = 0 - -3. Suppose 35 = m*z - 34. Suppose 32 = 4*u + 4*v, u + 2*v - 8 = -3*v. Calculate the remainder when z is divided by u.
7
Let t(l) = -10*l - 1. Let n be t(-2). Let s = 73 - n. What is the remainder when s is divided by 19?
16
Suppose -60 = 3*i - 6*i. Let h = i - 8. Calculate the remainder when h is divided by 5.
2
Let k(z) = z**3 + 6*z**2 + 5*z. Suppose -2*q - 9 = -1. What is the remainder when 34 is divided by k(q)?
10
Let x = 33 - 3. Calculate the remainder when 56 is divided by x.
26
Let r be (-476)/(-24) + 2/12. Let b = 33 - r. Suppose 0*g = -g + 4. What is the remainder when b is divided by g?
1
Suppose 4*r = -d - d - 6, -5*r - d = 0. Let v(w) = 5*w**3 - w**2 + w - 1. Calculate the remainder when v(r) is divided by 2.
0
Suppose 5*t = -0 + 15. Let i(z) = -4 - 5*z**2 + z**3 + 4*z + 2 + z**2. What is the remainder when 2 is divided by i(t)?
0
Let o(m) = 35*m**2 + 2*m + 1. What is the remainder when o(-1) is divided by 18?
16
Let w(y) = -37*y + 5. Calculate the remainder when 120 is divided by w(-1).
36
Suppose -2*q - q = -66. Calculate the remainder when 86 is divided by q.
20
Let d = -22 + 27. What is the remainder when 17 is divided by d?
2
Calculate the remainder when (-6)/(18/(-183)) - -4 is divided by 22.
21
Let s be (-2)/3*(-9)/2. Suppose 2*p + s = 19. Let g(m) = -m**2 - 7*m + 8. Calculate the remainder when g(-6) is divided by p.
6
Let g = -1 + 2. Let x(a) be the first derivative of -a**4/4 - a**3/3 + a**2 + 2*a + 2. What is the remainder when x(-2) is divided by g?
0
Suppose 5 - 1 = h. What is the remainder when 7 is divided by h?
3
Let w(h) = -4*h - 5. Let n(s) = 1. Let a(i) = 6*n(i) + w(i). What is the remainder when a(-3) is divided by 5?
3
Let q = 31 - 14. Let d(p) = -p**3 + 2*p. Let k be d(2). Let l(h) = -h**3 - 4*h**2 - 2*h - 2. What is the remainder when q is divided by l(k)?
5
Suppose -3*b = -5*b + 78. Suppose 14 = -y + b. What is the remainder when 48 is divided by y?
23
What is the remainder when ((-2)/4)/((-1)/26) is divided by 4?
1
Let k(d) = -3*d**3 - d**2 - 2. Let j be ((-2)/4)/((-3)/(-12)). What is the remainder when k(j) is divided by 10?
8
Let v(h) = -h**3 - h**2. Let u be v(0). Let s(t) = u*t**2 - t + 2*t**2 + 2*t. What is the remainder when 28 is divided by s(-3)?
13
Let d be (-1)/(3/(-6)) + 1. Suppose -j + d = -28. What is the remainder when j is divided by 16?
15
Suppose 2*v = -2*h + 55 - 21, -v = -h - 11. Calculate the remainder when 37 is divided by v.
9
Suppose 4*x - 5*o - 23 = 0