t u(n) = -n**2 + 6*n + 2. Suppose -12 = -4*f + 4*t, 0 = 2*f - 3*t - 3 - 6. Suppose f = -5*y + y + 20. What is the remainder when u(y) is divided by 4?
3
Let i = -1 + 6. Let b(w) = -4*w - 3. Suppose -2*h - 3 = r + 3*h, 2*h = 0. Calculate the remainder when b(r) is divided by i.
4
Suppose 0 = -4*h + 16, 4*h = 2*k + 2*k + 8. Suppose -k*x + 4*c = -35 + 15, -2*x + 5*c = -20. What is the remainder when x is divided by (-2)/(-7) + (-80)/(-14)?
4
Suppose 0 = -3*p + 74 + 88. Calculate the remainder when p is divided by 19.
16
Let y(a) be the first derivative of -a**3/3 + 3*a**2 + 4*a - 4. Let p = 15 - 5. What is the remainder when p is divided by y(6)?
2
Let n = 18 - -2. Calculate the remainder when 78 is divided by n.
18
Let c = 144 - 101. Calculate the remainder when c is divided by 12.
7
Let s = -43 + 52. Suppose -5*i + w = -133, -3*i + 2*w + 17 = -67. Calculate the remainder when i is divided by s.
8
Let r be (-116)/(-8) - 2/(-4). Let w = r + -6. Calculate the remainder when 32 is divided by w.
5
Suppose 2*s - 90 = -3*l, 148 = 5*l + 3*s + s. Let z = 15 + -25. Let g = l + z. Calculate the remainder when g is divided by 12.
10
Let n(a) = -171*a - 1. Let s be n(-1). Suppose 5*w = m - 65, 3*m - 7*m + s = -2*w. What is the remainder when m is divided by 14?
12
Let z = 9 + 3. Let f(d) = -d**2 + 12*d + 13. Let b = 78 + -41. What is the remainder when b is divided by f(z)?
11
Suppose 4*j - j + u = 18, -u = -3*j + 12. Suppose 3*o + 26 = a, j*a - 44 = 4*a - 3*o. Calculate the remainder when a is divided by 9.
8
Let k = 7 - 6. Let l be (5/(-15))/(k/(-15)). Suppose 3*z = l*z - 20. What is the remainder when 19 is divided by z?
9
Let y = -8 + 37. Let m = y - 7. What is the remainder when m is divided by 12?
10
Suppose -3*o - 1 = -4*o. Let k(x) = 2*x - 1. Let g = -2 + 3. What is the remainder when k(g) is divided by o?
0
Suppose 3*x - 2*x - 3 = 0. Let f(n) = -n**3 + 4*n**2 - 2*n + 1. What is the remainder when 11 is divided by f(x)?
3
What is the remainder when 26 is divided by 84/8 - 4/8?
6
Suppose 8*v = 21*v - 468. Calculate the remainder when v is divided by 20.
16
Suppose u = -3*v + 3, 0 = 4*v - 2*v + 5*u + 11. Suppose 2*x = -s + x + 20, 4*x = -v*s + 38. Calculate the remainder when s is divided by 6.
3
Suppose -8*u + 4*u = 1096. Let d = 196 + u. Calculate the remainder when 1 + 0 + d/(-3) is divided by 15.
12
Suppose -6 = 2*j - 5*j. Suppose -s + j = 3. Let a = 20 + s. What is the remainder when a is divided by 7?
5
Let i(t) = t**2 - 3*t + 4. Let p be i(3). Suppose 0 = -k - d - 28, 5*d = p*k - 3*k + 28. Let o = 47 + k. What is the remainder when 55 is divided by o?
17
Let p(i) = i**2 + i + 6. What is the remainder when 22 is divided by p(0)?
4
Let s(j) = -j**3 + 4*j**2 + 5. Let k be s(4). Let l = k - 1. Suppose -2*w = -36 + 14. Calculate the remainder when w is divided by l.
3
What is the remainder when ((-1)/2)/((-5)/530) is divided by 27?
26
Let n = -59 + 69. What is the remainder when 11 is divided by n?
1
Let z = 28 - 16. Suppose 0 = q - 2*l - z, 0*q + 2*q - 36 = l. What is the remainder when 79 is divided by q?
19
Suppose -v = -4*c + 148, -2*v + 35 - 7 = c. Let x(b) = -3*b - 41. What is the remainder when c is divided by x(-18)?
10
Let l(z) = z**3 + z**2 + 3*z + 14. What is the remainder when 26 is divided by l(0)?
12
Suppose 5*t - 4*d = 87, t + 3 = -3*d + 9. Calculate the remainder when 28 is divided by t.
13
Suppose 0 = 2*r - 2*t - 160 + 54, -4*t + 131 = 3*r. Calculate the remainder when r is divided by 13.
10
Let f = 2 - 1. Suppose 5 = y + f. Suppose -4*s = w - 9, 5*w + 2 = 2*s + 3*w. Calculate the remainder when y is divided by s.
0
Let j(o) = -2*o**2 - 16*o + 9. Calculate the remainder when j(-7) is divided by 4.
3
Calculate the remainder when ((-1)/2)/((-7)/406) is divided by 15.
14
Let v = -4 - -7. What is the remainder when -4 + 2 - (-9 - 1) is divided by v?
2
Let m(a) = -2*a - 6. Let z(w) = -w**3 - 3*w**2 + 4*w - 5. Let d be z(-4). What is the remainder when 4*(-2)/(-2) + 2 is divided by m(d)?
2
Let u = -2 - -7. Let i be (-32)/u - (-6)/15. Let g = i + 11. What is the remainder when g is divided by 2?
1
Let g(t) = t + 8. Let c be g(-6). Calculate the remainder when 12 is divided by c/2*(2 - -5).
5
Let j = -7 + 27. Let n = 7 - 0. What is the remainder when j is divided by n?
6
Let l be (-2 + (15 - 2))/(-1). Let p = 5 - l. Calculate the remainder when 30 is divided by p.
14
Let k(w) = -3*w - 8. Suppose -z = -6*z. Suppose -2*y + 4 + z = 0. Calculate the remainder when k(-4) is divided by y.
0
Calculate the remainder when 29 is divided by (-40)/(-18)*-3*(-6)/4.
9
Let x(c) = -c**2 + 7*c + 8. Calculate the remainder when 37 is divided by x(4).
17
Let g(z) be the third derivative of z**6/120 + z**5/60 + z**3/2 - z**2. Let l be g(0). Suppose 1 = -2*i + l. What is the remainder when 1 is divided by i?
0
Suppose 3*p - 10 = 2*p + 2*h, -5*h = 4*p - 105. Suppose 4*m + 174 = c + 2*c, c = 4*m + 58. What is the remainder when c is divided by p?
18
Let i = 100 - 51. What is the remainder when i is divided by 29?
20
Suppose -5*n - 39 = -99. Calculate the remainder when n is divided by 4.
0
Let z = -3 - -7. Let d(w) = -w**3 + 7*w**2 - 5*w - 4. Calculate the remainder when z is divided by d(6).
0
Let k(x) = x + 14. Let s = 15 - 27. Calculate the remainder when 2 is divided by k(s).
0
Let d be -3*6/(-9) - -2. What is the remainder when 29 is divided by 11 - (-2)/(d/(-2))?
9
Suppose -10*c - 15 = -13*c. What is the remainder when 24 is divided by c?
4
Suppose -2*p - 4*r - r = -36, 0 = -2*p - r + 20. Suppose 0 = k - 23 + p. What is the remainder when 44 is divided by k?
14
Suppose n - 103 = -4*z - 0*n, -z + 5*n = -10. Calculate the remainder when z is divided by 14.
11
Calculate the remainder when 95 is divided by (-56)/(-2) - (8 + -4).
23
Suppose 5*q = -3*l + 106, 3*q + 2*l - 84 = 7*l. Suppose 3*i + q = u, -4*i + 2*i = u - 38. What is the remainder when u is divided by 11?
10
Suppose 13 = 4*i + 1. Let k = i - 0. Suppose h = -2*p + 10, -4*p - k*h + 18 = -2*p. What is the remainder when p is divided by 2?
1
Calculate the remainder when (16 - 12) + 8*1 is divided by 5.
2
Let b be 43/7 - 7/49. Let q = 0 + b. What is the remainder when 23 is divided by q?
5
Suppose 0 = 2*r + 3*v - 219, r + v = 3*v + 106. What is the remainder when r is divided by 28?
24
Let t(o) = -o. Suppose 0 = x - 4*x - 12. Calculate the remainder when 7 is divided by t(x).
3
Let k(v) = -v - 22. Let n be k(0). Let s = -9 - n. What is the remainder when 36 is divided by s?
10
Suppose -3*y = -12*y + 45. Calculate the remainder when 18 is divided by y.
3
Let k(p) be the second derivative of p**5/20 - p**4 + 2*p**3 + 6*p**2 - p. Calculate the remainder when 68 is divided by k(11).
22
Suppose 0*m + 3*w - 2 = -m, -5*m + 30 = -5*w. Let d = m - 0. Let y(v) = -v**3 - 2*v**2 + 2*v - 1. What is the remainder when d is divided by y(-3)?
1
Suppose -o + 0*o + p + 12 = 0, 2*o = p + 29. Suppose 3*b - 111 = -15. What is the remainder when b is divided by o?
15
Let y(s) = -4*s - 10. Let m = 20 + 19. What is the remainder when m is divided by y(-5)?
9
What is the remainder when 27 is divided by -2 - (-3 + 0) - -9?
7
Suppose -q + 4 + 30 = 0. Suppose 0 = -5*v - d + 62, 5*d = 5*v + 2*d - 54. Calculate the remainder when q is divided by v.
10
Let b(y) be the third derivative of -y**6/120 + 7*y**5/60 - 5*y**4/24 - 7*y**3/6 + 2*y**2. Calculate the remainder when 70 is divided by b(5).
16
Let u = 30 - 23. Calculate the remainder when 18 is divided by u.
4
Let g(s) = 5*s - 17. Let h be g(5). Suppose 12*z = h*z + 72. Calculate the remainder when z is divided by 7.
4
Suppose l - 7 = 6. Calculate the remainder when (-3)/(9/(-8) + 1) is divided by l.
11
Let o(b) = -2*b - 6. What is the remainder when 5 is divided by o(-4)?
1
Let y(v) = 2*v**2 - 2*v - 1. Let t = 3 + -5. Calculate the remainder when (-14)/t*2/2 is divided by y(2).
1
Let q be 2/(((-4)/(-106))/1). Suppose 8 = -5*a + q. Suppose 3*p = -p + 68. What is the remainder when p is divided by a?
8
Suppose 3*l + 40 = 5*o - 2*l, -l = 0. What is the remainder when 94 is divided by o?
6
Let t(m) = -m - 3. Let l be t(-7). Let r = 4 - l. Suppose g - 8 = u + 15, 4*g - 5*u - 95 = r. What is the remainder when 38 is divided by g?
18
Suppose -3*v + 8*v + 80 = 0. Let y be 2/8 - 172/v. 