i = z + 8. What is the remainder when x is divided by i?
6
Suppose -5*j = -0*j - 4*z + 74, -3*j - 2*z - 62 = 0. Let t = j - -30. What is the remainder when 46 is divided by t?
10
Let s = -110 + 206. What is the remainder when s is divided by 25?
21
Let u = 108 + -21. Calculate the remainder when u is divided by 18.
15
Calculate the remainder when 7 is divided by 2/4*8*(-3 - -4).
3
Suppose -2*x - 4*s = -110, -5*x + 0*x = -s - 231. Let q(d) = d**3 + 15*d**2 + 15*d + 30. What is the remainder when x is divided by q(-14)?
15
Suppose -2*j + 23 = -5*i, 3*j + 4*i + 7 = 4*j. What is the remainder when j is divided by 5?
4
Let y = -10 - -8. What is the remainder when ((-69)/2)/(1/y) is divided by 18?
15
Let c = 9 - 33. Let n = 34 + c. Calculate the remainder when 28 is divided by n.
8
Suppose 2*y - 2*m = m + 45, -3*m = 3*y - 60. What is the remainder when 78 is divided by y?
15
Calculate the remainder when 1712/24*(2 + 1) is divided by 54.
52
Let y(o) = -o**2 + 0*o**3 + 0*o**3 - 2*o**3 + 17 + o + 3*o**3. What is the remainder when 49 is divided by y(0)?
15
Suppose 150 = q - 3*q. Let i = 209 + q. What is the remainder when i is divided by 34?
32
Suppose d + 17 = 4*w, 2*w = 3*d - 3*w + 16. Let g = 2 - d. What is the remainder when (-20)/(g - (-2 - -2)) is divided by 11?
9
Let y be (1 - 2) + 38/1. Suppose 5*s = -y + 132. Calculate the remainder when s is divided by 5.
4
Let p = -1 - -5. Suppose -5*c = p*n - 2*n - 48, -3*n + c = -55. Suppose 10 = -2*q - h + 30, 3*q - 30 = 2*h. Calculate the remainder when n is divided by q.
9
Let i(c) = 7 + 3 + 3*c - 2*c. Let o be i(-6). What is the remainder when 10 is divided by (o/3)/(2/6)?
2
Let a(x) = x - 1. Suppose 2*v = -y + 5 + 1, 2*y = -5*v + 14. Let z be a(v). Suppose 0 = d + z - 4. Calculate the remainder when 4 is divided by d.
1
Let l(p) = -p**2 + 17*p + 16. Calculate the remainder when l(13) is divided by 6.
2
Suppose 0 = 5*j + 2*a - 70, -2*j + 33 = j + 3*a. Calculate the remainder when (-6)/(-4)*80/4 is divided by j.
14
Suppose -2*y - 3*y + 24 = 3*o, 3*y - 56 = -5*o. Let m be ((-26)/(-4))/((-1)/(-2)). Suppose -a + m = -23. What is the remainder when a is divided by o?
10
Let k be (-151 + 1)*6/15. Let w(f) = -f**2 - 2*f + 1. Let d be w(1). What is the remainder when (d/(-1))/((-4)/k) is divided by 16?
14
Let k = 55 - 32. Let w = k - -1. What is the remainder when w is divided by ((-1)/2)/(2/(-52))?
11
Suppose h = 5*i - 435, -3*h + 146 = i + 43. What is the remainder when i is divided by 30?
28
Calculate the remainder when (54/(-8))/((-9)/24) is divided by 38/(-171) + 92/9.
8
Let v(c) = c**3 - 5*c**2 + 3*c + 2. Let o be v(4). Let t = -26 - o. Let h = 37 + t. Calculate the remainder when 37 is divided by h.
11
Let l = -10 - -13. Let s(g) = -5*g**3 + g**2 + g - 8. Let i(n) = n**3 + n + 1. Let v(u) = -4*i(u) - s(u). What is the remainder when v(3) is divided by l?
1
Let p = 1 + 7. What is the remainder when 22 is divided by p?
6
Let f(c) = -c + 7. Let j be (1*-3)/(2/(-40)). Let r = -38 + j. What is the remainder when r is divided by f(-5)?
10
Suppose 0 = o - 0 - 3. Suppose o*j = j + 10. Calculate the remainder when 14 is divided by j.
4
Suppose -8*c + 3*c - 15 = -l, -c = 2. Let q(s) be the second derivative of -s**3/6 - s**2/2 + s. What is the remainder when l is divided by q(-3)?
1
Let z = -3 + 6. Let x = 13 + -7. Let m = x + z. What is the remainder when 25 is divided by m?
7
Suppose 2*r + z - 17 - 69 = 0, z = 2. Calculate the remainder when r is divided by 15.
12
Let t(l) be the third derivative of 2*l**2 - 1/120*l**6 + 0 - 1/20*l**5 + l**3 + 1/8*l**4 + 0*l. What is the remainder when t(-5) is divided by 14?
13
Let x = 43 - 9. What is the remainder when x is divided by 18?
16
Let v be 2/3 + (-16)/24. Suppose v*b + 6 = 4*z - 2*b, -5*z = 5*b + 30. Let k = z + 13. Calculate the remainder when k is divided by 7.
5
Let b = 35 - 14. Suppose 10*p + 51 = 13*p. Suppose 4*c - p = 231. What is the remainder when c is divided by b?
20
Suppose -3*p + p + 26 = 0. Calculate the remainder when 24 is divided by p.
11
Let d(s) = 7*s - 4. Calculate the remainder when d(8) is divided by 18.
16
Suppose 0*d + 4*d - 8 = 0. What is the remainder when 4 is divided by d?
0
Suppose 70 - 16 = 2*w. What is the remainder when w is divided by 10?
7
Let f(i) = -i**2 + i. Let o be f(1). Let p = 18 + 1. Suppose 0 = v - o*v - p. Calculate the remainder when v is divided by 10.
9
Let a(m) = -11*m**3 + m + 1. Suppose 5*d - 3*g = -7*g + 15, -d - 2*g = -9. Calculate the remainder when 31 is divided by a(d).
9
Let q = 21 - 4. Calculate the remainder when 49 + 0 - (-9)/(-9) is divided by q.
14
Let g be 25*(18/5 - 2). Let w be (-2)/(0 - 2) + 1. Suppose -g = -w*p - 3*p. What is the remainder when 23 is divided by p?
7
Let n = -4 + 9. Suppose -2*x - 443 = -n*i - 4*x, -5*i - x + 439 = 0. What is the remainder when i is divided by 22?
21
Suppose 4 - 1 = 3*q. Let s be -1*(q + 0) - -26. Let l = s - 15. Calculate the remainder when l is divided by 6.
4
Suppose -7*u + 11*u = 0. Suppose u = 5*o - o - 324. What is the remainder when o is divided by 21?
18
Calculate the remainder when 48 is divided by (15 - 14)*1*17.
14
Let s = 7 - 7. Let t = 3 - s. What is the remainder when 11 is divided by t?
2
Calculate the remainder when (3/12*-2)/((-2)/144) is divided by 13.
10
Let t = -44 - -138. What is the remainder when t is divided by 24?
22
Suppose 0 = -0*a + 4*a + 40. Let l = -7 - a. Calculate the remainder when ((-1)/3)/(16/(-432)) is divided by l.
0
Let t = 20 - 11. Suppose t = h - 5. Calculate the remainder when 40 is divided by h.
12
Suppose 53 = 4*b + 5*c - 0*c, 5*b - 45 = -2*c. Let w = 40 - 14. What is the remainder when 3/6*1*w is divided by b?
6
Suppose -2*i - 5*i + 483 = 0. Calculate the remainder when i is divided by 18.
15
Let k be -18*2/7*-7. Suppose -2*z - k = -5*m + m, m + z - 15 = 0. Calculate the remainder when m is divided by 6.
5
Suppose f + 3*w = 8*w + 3, 3*f - 77 = -2*w. What is the remainder when 137 is divided by f?
22
What is the remainder when 31 is divided by (8/4 - 0) + 6?
7
Suppose 3*d - 2*l + l - 2 = 0, 5*l = 20. Suppose -d*g - 2*g - 4 = 0. Calculate the remainder when 5 is divided by g/1*1*-3.
2
Suppose -6*z = -0*z - 390. What is the remainder when z is divided by 17?
14
Suppose 0 = -o - 4*m + 30, -2*o + 4*m - 54 = -138. What is the remainder when 113 is divided by o?
37
What is the remainder when 10 is divided by (16/(-6))/(23/(-69))?
2
What is the remainder when -1 - (-13 - (-4)/(-4)) is divided by 5?
3
Let d(p) = -2*p**2 - 2*p - 1. Let t(c) = 5*c**2 + 7*c + 2. Let i(u) = 8*d(u) + 3*t(u). What is the remainder when 10 is divided by i(3)?
2
Let a = 40 + -101. Let s = 103 + a. What is the remainder when s is divided by 11?
9
Let a(v) = 4*v + 7 + v**2 - 4*v - v. Let w(f) = -f**2 + 9*f - 4. Calculate the remainder when a(5) is divided by w(6).
13
Calculate the remainder when 12 is divided by 13/3 - (-6)/9.
2
Let j = 184 + -149. What is the remainder when j is divided by 14?
7
Let j be (93/(-6))/((-3)/6). Let r = j + -25. Calculate the remainder when r is divided by 2.
0
Let f be (-4520)/90 - (-4)/18. Let a = 88 + f. Calculate the remainder when a is divided by (8/(-6))/((-2)/15).
8
Let g(q) = q**3 + q**2. Let i be g(0). Suppose i*s = -s + 11. What is the remainder when s is divided by 7?
4
What is the remainder when 23 is divided by 5 - -2 - 0*(-4)/(-16)?
2
Let k be 2/(-1) + (-2 - 2). Let i(v) = 19*v - 14. Let a(b) = -13*b + 9. Let y(z) = -7*a(z) - 5*i(z). What is the remainder when y(k) is divided by 17?
14
Let q = -1 - -15. Calculate the remainder when 55 is divided by q.
13
Let z = -12 - -5. Let d(v) = -2*v - 12. What is the remainder when (-2)/(3/((-30)/4)) is divided by d(z)?
1
Let x be (-444)/(-54) - (-2)/(-9). Suppose 0 = k - 5 - x. What is the remainder when k is divided by 5?
3
Suppose 3*p + 5*p = 184. Calculate the remainder when 89 is divided by p.
20
Let j(w) = -6*w. Let k be j(2). Let a = k + 26. What is the remainder when a is divided by 5?
4
Let b be 0 + (-1 - -17)/(-2). Let c(u) = -u**2 + 6*u + 6. What is the remainder when c(5) is divided by (-36)/b*4/3?
5
Suppose -c + 3*c = -5*m + 14, 3*c + 2*m - 21 = 0. What is the remainder when c is divided by 3?
1
Let q(p) = -25*p. What is the remainder when 98 is divided by q(-1