t z(u) = u**3 - 6*u**2 - 6*u + 9. Calculate the remainder when z(j) is divided by 6.
4
Suppose 0 = 4*y - 42 - 70. What is the remainder when 105 is divided by y?
21
Suppose -j = -3*i + 7, -4*i - j = 4*j - 22. What is the remainder when i is divided by 3?
0
Suppose -2*j + 3 = -j. Suppose 4*x = 3*f + 5, -2*f - f = -j*x. What is the remainder when (-575)/(-45) + 2/9 is divided by x?
3
Suppose 50 + 18 = 2*v. Suppose 2 = 3*j + 14, -2*n + j = -v. Calculate the remainder when 45 + 1 + 1 + -3 is divided by n.
14
Suppose -62 + 10 = -4*z. What is the remainder when z is divided by 4?
1
Suppose 4*c = 3*c + 13. Suppose 3*j + w = j + 6, 5*j + w = 9. Suppose 0 = a - 6 - j. What is the remainder when c is divided by a?
6
Let m be (2 + 1)*6/(-2). Calculate the remainder when 46 is divided by (8/(-6))/(1/m).
10
Let z(s) = s**2 - 16*s + 6. Let m be z(12). Suppose -11 - 49 = -3*a. What is the remainder when a is divided by m/(-4)*(-4)/(-6)?
6
Suppose 0 = 4*s + 7 - 247. Suppose s = 3*f + 15. Suppose 0*n - 132 = -3*n. What is the remainder when n is divided by f?
14
Suppose -2*s - 5*a = -4*s + 79, 3*s = -2*a + 71. Calculate the remainder when 78 is divided by s.
24
Suppose 16*v - 155 - 533 = 0. Let s = -2 + 0. Calculate the remainder when v is divided by 11*2/(-4)*s.
10
Let m be 2/7 - 383/(-7). Let c be (-1)/(-2) - m/10. Let r = -4 - c. What is the remainder when 2 is divided by r?
0
Suppose y = -y + 178. What is the remainder when y is divided by (21/(-14))/(6/46)*-2?
20
Let o be (-30)/9*(-192)/(-20). Calculate the remainder when 1 + (-2 - o) + 4 is divided by 12.
11
Let i(r) = r - 6. Let c(h) = 2*h - 6. Let s(m) = 4*c(m) - 3*i(m). Calculate the remainder when s(5) is divided by 10.
9
Suppose 9 = -4*h - 11, 2*h = -2*l - 22. Let o be (-2)/l - (-55)/15. Suppose 3*v - 18 = -m, -o*m - 2*v + 64 = m. What is the remainder when 34 is divided by m?
10
Suppose 0 = 30*s - 31*s + 102. Calculate the remainder when s is divided by 15.
12
Suppose 0 = 9*p - 281 + 101. Calculate the remainder when 55 is divided by p.
15
Suppose 8 = -k + 5*k. Let q(x) = 0*x - x + 7*x. What is the remainder when q(k) is divided by 7?
5
Let q(n) = -n + 13. Let m be q(9). Let v(s) = 2*s**2 - 2*s - 3. Calculate the remainder when v(m) is divided by 6.
3
Suppose 0*i - i = 4. What is the remainder when 1 - (-1 + (-24 - 3)) is divided by (10/i)/(1/(-4))?
9
Let t be ((-46)/3 + 1)*-15. Suppose -4 = 3*l - a - 12, -2*l + 5*a = 12. Suppose -d + t = l*d. Calculate the remainder when d is divided by 15.
13
Let t = -4 - -7. Suppose -2*x - 21 = -t*i + 91, -i - 4*x = -28. Calculate the remainder when i is divided by 19.
17
Suppose 0 = -3*o + 29 + 10. Calculate the remainder when o is divided by 3.
1
Let k be (3 - 5)*(-6)/4. Suppose -k*c - 20 = -8*c. Suppose -3 = c*j - 115. Calculate the remainder when j is divided by 15.
13
Let x = -17 + 30. Let z = x - -1. Let b = -93 + 134. What is the remainder when b is divided by z?
13
Suppose 19 = -4*h + 123. Calculate the remainder when 73 is divided by h.
21
Let f = -1 - -1. Suppose -z - 4*z - 4*h = -35, f = -h. Calculate the remainder when z is divided by 4.
3
Let i = -50 - 66. Let m = -55 - i. Suppose h + 4*q = 9, 2*q + 45 + 3 = 2*h. What is the remainder when m is divided by h?
19
Suppose -5*s = -5*q - 20, 0 = -5*s + 3*q + 15 + 1. Suppose 0 = -3*w + 7*w - 4. What is the remainder when s is divided by w?
0
Let c = -22 + 34. What is the remainder when 33 is divided by c?
9
Suppose -2*m + f + 4*f + 10 = 0, -3*f - 20 = -4*m. What is the remainder when 18 is divided by m?
3
Let o = -6 + 8. Let k(u) = 8*u - 3. Calculate the remainder when 23 is divided by k(o).
10
What is the remainder when 33 is divided by -2 - -16 - (-3 + 1 - 1)?
16
Suppose 3*q + 62 = 362. Calculate the remainder when q is divided by 34.
32
Suppose -41*p = -45*p + 196. What is the remainder when p is divided by 13?
10
Let l = 45 - 14. Calculate the remainder when l is divided by -33*(8/(-6) - -1).
9
Let i = 347 + -236. What is the remainder when i is divided by 28?
27
Suppose -2*d = t - 14, -5*t + 2*t - 13 = -5*d. Calculate the remainder when 9 is divided by t.
1
Suppose 4*h - h = 129. Let u = h - 22. What is the remainder when u is divided by 6?
3
Let w = 0 + 5. Let u = w - 0. What is the remainder when 26 - u/(5/2) is divided by 13?
11
Let j = 84 - 56. What is the remainder when j is divided by 11?
6
Suppose 46 = 3*p + 10. What is the remainder when 18 is divided by p?
6
Let y(j) = -j**2 + 12*j - 16. Calculate the remainder when y(8) is divided by 9.
7
Calculate the remainder when (-105)/15*(-10)/7 is divided by 3.
1
Let k = 27 - 21. Calculate the remainder when 65 is divided by 0*3/k - -17.
14
Let o = -39 + 56. What is the remainder when o is divided by (13/3 + -1)/((-11)/(-33))?
7
Let o = 51 + -6. What is the remainder when o is divided by 12?
9
Let z = -5 - -7. What is the remainder when 33 is divided by 1*(9*2)/z?
6
Suppose 0 = -3*m + 23 + 13. Let v be 12/4 - (-1 + 0). Suppose -2*k = 4*n + 3*k - 165, 195 = 5*n + v*k. Calculate the remainder when n is divided by m.
11
Suppose -5*m = -23 + 3. What is the remainder when m is divided by 2?
0
Calculate the remainder when 32 is divided by (-2)/6 + 306/27.
10
Let w = 62 - 36. Suppose 2*c - 2*m - 14 = 0, 2*c + 3*m + 6 = -0. Let f = c - -6. What is the remainder when w is divided by f?
8
Suppose -3*t + 213 = -219. Calculate the remainder when t is divided by 50.
44
Suppose 0 = 9*v - 2 - 133. What is the remainder when 53 is divided by v?
8
Suppose -72 = -8*x + 2*x. Calculate the remainder when 58 is divided by x.
10
Let k = 157 - 92. Calculate the remainder when k is divided by 11.
10
Suppose d = -2*d + 162. Calculate the remainder when d is divided by 15.
9
Suppose 50 - 6 = 5*p - 2*t, -p + 2*t + 4 = 0. Calculate the remainder when 277/9 - p/(-45) is divided by 11.
9
Suppose 0*x = 2*x. Suppose 2*f + x = -12. Let n = f + 11. What is the remainder when 13 is divided by n?
3
Let g(n) = -n**2 - 7*n + 5. Suppose 3*h = 8*h + 20. What is the remainder when g(h) is divided by 6?
5
Suppose -3*i - 205 = -8*i. Suppose 2*j - i = j. Calculate the remainder when j is divided by 1/5 + 138/10.
13
Let r(t) = t**2 + 10*t - 4. Suppose 6*a - 4*a - 114 = 0. What is the remainder when a is divided by r(-12)?
17
Let z = -2 - -3. Suppose -f - 6 = -0*f. Let l(i) = i**2 + 6*i + 1. Calculate the remainder when l(f) is divided by z.
0
Let v be (-1 - -2) + -1 + 4. Suppose 0*w - t = -v*w + 34, 5*w + 5*t = 55. Calculate the remainder when 15 is divided by w.
6
Let x = 2 + 2. Suppose 2*r + 2 = x*t - 2, t + 3 = r. Suppose 0 = -4*h + 20, 3*a - 22 = 4*h + 27. Calculate the remainder when a is divided by r.
7
Let b(z) = -z**2 + 7*z - 4. Let f be b(7). Calculate the remainder when (38/8)/((-1)/f) is divided by 7.
5
Let d be -3 - 0 - 5 - -2. Suppose 5*y - 20 = -4*s, -4*s - y + 33 + 3 = 0. Let a = d + s. Calculate the remainder when 6 is divided by a.
2
Let n = -27 - -39. What is the remainder when (-30)/2*(-14)/6 is divided by n?
11
Calculate the remainder when 36 is divided by 18 - (0/(-2) + -1).
17
Suppose -4 = -0*r + r. Suppose -5*k + k = -20, -3*u + 3*k = 21. Let p = u - r. Calculate the remainder when 4 is divided by p.
0
Let l = 20 - 16. Calculate the remainder when 5 is divided by l.
1
Let c = 58 - 20. Calculate the remainder when c is divided by 20.
18
Suppose -2 - 3 = -5*i, 3*i = -t + 4. Let z = 3 - 2. Calculate the remainder when t/3 + (-25)/(-15) is divided by z.
0
Let f = -10 - -27. Let k(x) = -x + 3*x**2 + x**2 + 0*x - x**3 + 3. What is the remainder when f is divided by k(3)?
8
Suppose 34 = 4*w + 2*d - 0*d, -60 = -5*w + d. Suppose t - 18 = -q, 3*t = q + 5*t - 15. What is the remainder when q is divided by w?
10
Let n = 166 + -84. Calculate the remainder when n is divided by 30.
22
Let t(i) = 2*i**3 + 4*i**2 + 4*i + 2. Let j be t(-2). Let c = j - -13. Calculate the remainder when 12 is divided by c.
5
Let s = 21 + -10. Calculate the remainder when (4 - 1 - 1) + 30 is divided by s.
10
Suppose -7 - 13 = -5*n. Suppose 0*i + i - 46 = 0. Suppose i = n*q + 2. What is the remainder when 20 is divided by q?
9
Suppose a + 0*a - 16 = v, -3*a + v = -42. What is the remainder when 101 is divided by a?
10
Let d be (1 + 0)*3 + -12. What is the remainder when 22 is divided by (-86)/(-10) + d/1