 when 1 - (-15)/(-3 + 4) is divided by 9.
7
Suppose -i = 2 - 4. Suppose 5*q - 19 = -2*v, v - 4 = 5*q - i. Calculate the remainder when v is divided by 4.
3
Let r(q) = q**3 - 2*q**2 - 4*q - 2. Suppose -5*n = -790 + 220. Let p = n + -73. Calculate the remainder when p is divided by r(4).
13
Calculate the remainder when 6/(6/4 + -1) is divided by 84/(-30)*(-5)/2.
5
Let l = 32 - 14. Suppose 13 = 3*u - 17. Calculate the remainder when l is divided by u.
8
Let b = -34 + 47. What is the remainder when b is divided by 9?
4
Let z = 13 + 15. What is the remainder when z is divided by 16?
12
Suppose 2*p - 47 = -3*x, 36 = 2*x - 0*p - p. Let w(m) = -m**3 + 9*m**2 + 6*m + 11. What is the remainder when w(9) is divided by x?
14
Let d(s) = -8*s + 67. What is the remainder when 50 is divided by d(6)?
12
Let g(b) = b**3 - 5*b**2 + 3*b + 3. Let j be g(4). What is the remainder when (-6)/(-21) + (-318)/(-14) is divided by ((-12)/9)/j*6?
7
Let p be (-8)/(-6) + 2/(-6). Let i = p - -4. Suppose 5*c - 4*c = 14. Calculate the remainder when c is divided by i.
4
Let c = 9 + -7. What is the remainder when (-6)/3 - (-20 - c) is divided by 11?
9
Suppose 19*y - 14*y - 90 = 0. Let g(v) = -5*v. Let z be g(-1). Suppose -q = -z*q + 40. Calculate the remainder when y is divided by q.
8
Suppose -14 = -a - 7. Suppose -2*q - 4*x = 6 + 6, 2*x = 5*q - 30. What is the remainder when a is divided by q?
3
Suppose -5*k = 36 - 151. Suppose 8*c = 7*c + k. Calculate the remainder when 90 is divided by c.
21
Suppose 2*l = 4, -2*a - 2*l - 3*l = -34. Suppose -92 = -4*p - a. Let d = 28 - p. Calculate the remainder when d is divided by 3.
2
Let c = 15 - -3. What is the remainder when 105 is divided by c?
15
Suppose n + 3 = 3*f, n + 0*n + 4*f = 11. What is the remainder when 19 is divided by (4/(-10))/(n/(-75))?
9
Suppose 0 = 2*j + 12 - 20. Suppose -2*i + 3 = -7. Suppose 2*t + i*u - 16 = 0, -4*t + 2*u = -u - 6. Calculate the remainder when j is divided by t.
1
Let i = -3 + 5. Suppose -i*s + 0*s - 3*p + 50 = 0, 0 = -2*s - p + 50. What is the remainder when s is divided by 9?
7
Suppose -3*o - 2*o - 10 = 0, -4*o - 2 = 3*g. Calculate the remainder when 2 is divided by g.
0
Suppose -4*l = -20, 11*n - 221 = 9*n - 3*l. What is the remainder when n is divided by 5?
3
Let o = -2 + 5. What is the remainder when 10 is divided by o?
1
Suppose -7*s + 40 = -3*s. What is the remainder when 38 is divided by s?
8
Suppose -3*y + 84 = 3*y. What is the remainder when y is divided by 8?
6
Suppose 2*h + 40 = 6*h. Let x = h - -4. Calculate the remainder when x is divided by 8.
6
Let q be 1 + 35 + (2 - 0). Suppose -3*f - 2*f - 110 = 0. Let n = q + f. What is the remainder when 31 is divided by n?
15
What is the remainder when 19 + 1*(5 - 2) is divided by 12?
10
Suppose -k = 4*p - 122 - 108, -222 = -4*p - 5*k. What is the remainder when p is divided by 20?
18
Suppose -v - v + 6 = 0. Suppose -v*p - 64 = -4*p + 3*l, 4*l - 304 = -4*p. Suppose 5*w - p + 8 = 0. Calculate the remainder when w is divided by 7.
6
Let t be -2*(-1)/(-2) - 0. Let d = 24 + -14. Calculate the remainder when 29 + (t - 0) - -1 is divided by d.
9
Suppose -3*o = 2*r - 39, -3 + 1 = -r + 2*o. Suppose -4*s = -5*t + 126, s - 19 = -5*t + 87. Calculate the remainder when t is divided by r.
10
Suppose l + 2 = t - 2, 0 = -3*l + t - 2. What is the remainder when 3 is divided by l?
0
Suppose 6 = t + t. Suppose -t*f + 15 = 0, -f - 100 = -5*s + 2*f. Calculate the remainder when s is divided by 12.
11
Let w = 51 - 47. What is the remainder when (-1 - 14/(-4))*2 is divided by w?
1
Suppose 0 = -0*i - 5*i + 25. Let l be 4 + (3/(-3) - -1). Suppose l*c = -5*a - 17, -c = c + 2*a + 6. Calculate the remainder when i is divided by c.
1
Suppose -4*r + 75 = 4*t - 13, 0 = t + 3*r - 18. Calculate the remainder when t is divided by 5.
4
What is the remainder when (-445)/(-5) + -2*2 is divided by 22?
19
Suppose -2*d = -11 - 117. Suppose l + 5 = -3*k + 2*k, 5*k + 20 = 0. What is the remainder when (1/l)/((-2)/d) is divided by 11?
10
Let m = -22 + 8. Let l = m + 29. Calculate the remainder when 44 is divided by l.
14
Suppose -b + 13 = 5*z, 0 = 3*z + 2*b - 3 - 2. Let g(d) = -5*d + 1 + 3*d + z*d. Calculate the remainder when 19 is divided by g(6).
5
Let t = -2 - -7. Let s(o) = -o**3 - 7*o**2 - 6*o. Let m be s(-6). What is the remainder when 2*8 + (m - 2) is divided by t?
4
Let c(f) = 2*f**3 - 8*f**2 - f - 6. What is the remainder when c(5) is divided by 6?
3
Suppose 2*a - 12 - 74 = 3*z, 0 = 5*a + z - 181. Calculate the remainder when 71 is divided by a.
34
Let u be 1*(-1)/2*0/(-1). Suppose 3*f + 4*d = 8*d - 16, 2*d = f + 8. Suppose -2*g + f*g + 22 = u. Calculate the remainder when 20 is divided by g.
9
Calculate the remainder when 5*(-6)/(-15) + 41 is divided by 23.
20
Let b(x) = 7*x - 16. Suppose k - 162 = -2*k. What is the remainder when k is divided by b(5)?
16
Let u = 25 - 24. What is the remainder when u is divided by 1?
0
Let o(a) = -a**3 - 8*a**2 - a - 6. Let n be o(-8). Let f = n - 2. Suppose 5*y + 4*v - 44 = f, -y + 9 = v - 0*v. Calculate the remainder when 21 is divided by y.
5
Suppose -2*x - 2*w = w + 6, 4*x + w + 2 = 0. Suppose x = d - 4*d + 12. Calculate the remainder when 9 is divided by d.
1
Suppose 8 = 4*j - 132. What is the remainder when j is divided by 5?
0
Let j(b) = -b**2 - 12*b + 1. Calculate the remainder when j(-4) is divided by 17.
16
Let i be 5/1*4/5. Suppose -15 = 3*l, i*k + k - 90 = l. Suppose 3*n = 140 + 7. What is the remainder when n is divided by k?
15
Suppose 2*n + 7 = 3*n + 5*h, -4*n - 3*h = -28. What is the remainder when 30 is divided by n?
2
Let h = 5 - 14. Let n be (2*1)/((-4)/(-26)). Let d = h + n. Calculate the remainder when 11 is divided by d.
3
Suppose 4*w - 7 = -o, 0*w - 4*o = 2*w. Suppose -11 = w*n + 13. Calculate the remainder when n/(-14)*(-42)/(-2) is divided by 10.
8
Let x = -21 - -45. Let g(o) = -o**3 - o**2 + 4*o + 3. What is the remainder when x is divided by g(-3)?
6
Suppose 0 = -5*w - 5*d - 17 + 77, 4*w - 46 = -2*d. Let m = 1 - -3. Calculate the remainder when w is divided by m.
3
Suppose -f - 13 = -0*f. Let a = f + 30. What is the remainder when a is divided by 6?
5
Suppose 16 = 19*y - 18*y. Calculate the remainder when 61 is divided by y.
13
Let h(i) = 0*i - 4*i + 2 + 1 - i**2. Calculate the remainder when (11 + (-3)/1)/2 is divided by h(-4).
1
Let g = 248 - 143. Suppose 4*r - 5*k = 95, 0*r - g = -4*r - 5*k. What is the remainder when r is divided by 13?
12
Suppose 2*j - 2 = 4*v + j, 2*j = -3*v + 4. Let t = 4 - -1. Suppose -11 - 7 = -n - 5*s, v = 2*n + t*s - 21. What is the remainder when 5 is divided by n?
2
Suppose -4*b + 8 + 32 = 0. Let l = 260 + -241. What is the remainder when l is divided by b?
9
Let p = -4 - -7. Let y(x) = -x**2 + 4*x + 4. What is the remainder when p*1/((-2)/(-4)) is divided by y(4)?
2
Let k = 2 + 9. What is the remainder when k is divided by 2/3*(-36)/(-6)?
3
Suppose 0 = 5*o - 7*o + 20. What is the remainder when 29 is divided by o?
9
Let l = 78 + -67. What is the remainder when l is divided by 7?
4
Suppose -5*p = -4*p. Suppose p = 3*s - s + 22. Let a = s - -27. Calculate the remainder when a is divided by 9.
7
Let s(p) = -2*p. What is the remainder when 31 is divided by s(-4)?
7
Suppose -5*l + 238 + 87 = 0. What is the remainder when l is divided by 22?
21
Let b = 1 + 6. Let l = 16 + -3. What is the remainder when l is divided by b?
6
Suppose 3 + 6 = 3*b. Calculate the remainder when b is divided by (8/(-4)*-1)/1.
1
Let r(c) = 4*c + 10. Let h be r(6). Let d = h - 5. Calculate the remainder when d is divided by 10.
9
Suppose -2*o + 5*o - 5*a = 22, -o = -3*a - 10. Calculate the remainder when 10*1/(20/12) is divided by o.
2
What is the remainder when -2 + 1070/35 + (-3)/(-7) is divided by 16?
13
Let r = 12 - 3. Calculate the remainder when 14 is divided by r.
5
Let b = 11 + -6. Suppose -5 = b*i - 2*n, -2*n = -5*i - n. Suppose u - 3 + 1 = 0, -3*u + 12 = 3*k. Calculate the remainder when k is divided by i.
0
Let g(x) = -x**3 - 3*x**2 + 14*x + 2. Calculate the remainder when 51 is divided by g(-6).
25
Let c be 6 - 10 - 2*-4. Suppose 57 = c*z - 4*l - 95, z = 4*l + 50. Calculate the remainder when z is divided by 9.
7
Suppose -f = -3*w + 82, 2*w - 2*f + f - 55 = 0. What is the remainder when 51 is divided 