he remainder when 12 is divided by 2 + 0 + 2 - -1.
2
Let r = -173 - -244. Suppose 3*o = 5*w - 120, -r = -4*w - 3*o + 52. Calculate the remainder when 0 + w - -1*1 is divided by 15.
13
Let b be (-74)/(-3) - 20/30. Let o = 43 - b. What is the remainder when o is divided by 7?
5
Let d(h) = h**3 + 9*h**2 + 9*h - 3. Calculate the remainder when 355 is divided by d(-6).
49
Let y(u) = -2*u + 1. Suppose 5*h = -3*g + 4*g + 12, 15 = 4*g + h. What is the remainder when y(-3) is divided by g?
1
Let d = -4 - -13. What is the remainder when 44 is divided by d?
8
Let o = -26 - -51. What is the remainder when 74 is divided by o?
24
Suppose 3*l = -2*l + 5, -4*l - 40 = -4*c. What is the remainder when c is divided by 7?
4
Suppose -11*v + 152 = 8*v. What is the remainder when v is divided by 3?
2
Suppose 21 = 4*w - q, -22 = -4*w + 3*q + 1. Suppose -2*j - 3 + 9 = 0. Calculate the remainder when w is divided by j.
2
Let a(l) = l**2 - 10*l + 17. Let v be a(9). Let w = 2 - 3. Let k = w + v. Calculate the remainder when 12 is divided by k.
5
Let b = 11 - 8. Suppose 0 = j - 5*j - b*c + 43, 0 = 2*j - 3*c + 1. Calculate the remainder when 20 is divided by j.
6
Let y = 3 + -3. Suppose y = 5*j + 3*f - 55, 5*f = f. What is the remainder when 21 is divided by j?
10
Let n(u) = u**3 + u**2 + 18. Calculate the remainder when n(6) is divided by 8.
6
Let y = 57 - -103. What is the remainder when y is divided by 7?
6
Suppose -2*u + 3*u - 30 = 0. Calculate the remainder when u is divided by 8.
6
Suppose -11 = -5*p + 19. Suppose -2*u + 3*c - 14 = -p*u, -3*u + c + 4 = 0. What is the remainder when 6 is divided by (-3)/(-6)*4*u?
2
Let c(a) = 3*a + 16. What is the remainder when 46 is divided by c(0)?
14
Suppose 0 = 5*s + 4*b + 117, 0 = -2*s - 2*b - 62 + 16. Let r = -15 - s. What is the remainder when 18 is divided by r?
8
Let d be (-2)/(-4) + 14/(-4). Let b = d + 1. Let a(o) = -12*o + 2. Calculate the remainder when a(b) is divided by 14.
12
Let d = 2 - -1. Suppose d*a + a = 36. Calculate the remainder when 25 is divided by a.
7
Let m(f) = -f**3 - 8*f**2 + 6*f + 7. Let u be m(-8). Let g = u - -85. Calculate the remainder when g is divided by (2/4)/((-1)/(-46)).
21
Let d be (-6)/(-8) - (-6)/(-8). Calculate the remainder when 16 + 3/(-1) - d is divided by (-7)/(-4)*(3 + 1).
6
Suppose -6*v = -v - 5. What is the remainder when (8/(-6))/(6/(-9)) is divided by v?
0
Suppose -83 = -5*u - 18. Suppose -2*f = 2*f + 16, 4*f = -4*j + 12. What is the remainder when u is divided by j?
6
Suppose 0*n = -5*n + 210. Calculate the remainder when n is divided by 11.
9
Suppose -1 = f - 4. Let m = 4 - f. Let o = 3 + -1. What is the remainder when o is divided by m?
0
Let l = -2 + 4. Suppose -o + 3 = -l. What is the remainder when o is divided by 3?
2
Let p be (-33)/12 - 1/4. Let k = p + 15. Suppose 0*o = -4*o + 28. What is the remainder when k is divided by o?
5
Let r be (-2 - -31) + -3 + 0. Suppose -c + r = 3*f, 4*f + 5*c = f + 46. What is the remainder when 26 is divided by f?
5
Let j(y) = -y**2 - 8*y - 2. Let r be j(-6). Let x = 22 - r. What is the remainder when x is divided by 5?
2
Suppose 12 = 4*x - 3*r, -x + 3*r = -3*x + 6. Suppose -6 = -5*z + x*z. Calculate the remainder when 8 is divided by z.
2
Let y = -46 + 53. Calculate the remainder when 11 is divided by y.
4
Suppose 11 = 2*c + 3. Suppose 0 = 4*o - c - 8. Let v = 5 + o. Calculate the remainder when v is divided by 3.
2
Let m(o) = o - 9. Let v = 5 + -4. What is the remainder when m(11) is divided by v?
0
Let z be (-3 + 5)*7/2. Let t = 9 - z. Calculate the remainder when 7 is divided by t.
1
Calculate the remainder when ((-116)/5)/(5/(-50)*4) is divided by (20/(-3))/((-1)/3).
18
What is the remainder when (456/48)/((-2)/(-4)) is divided by 10?
9
Suppose -6*f + 2*f + 2*v = -156, 0 = 5*v. Let a(z) = z**3 - 6*z**2 + 4*z - 4. Calculate the remainder when f is divided by a(6).
19
Let c = 67 - 28. Calculate the remainder when 114 is divided by c.
36
Let i(c) = c - 4. Let p be i(0). Suppose 2 = 2*l - 10. Let o = p + l. Calculate the remainder when o is divided by 1.
0
Suppose -5*f - j = -7 - 83, f - 2*j = 18. Suppose 2*d - f = 50. Calculate the remainder when d is divided by 1 + -3 + (6 - -4) + 4.
10
Let o = 7 - 1. Suppose 0*s = -o*s + 246. Calculate the remainder when s is divided by 14.
13
Let t(w) = w + 1. Let o(u) = 3*u + 13. Let g(r) = o(r) - 6*t(r). Let c = -5 - 0. Calculate the remainder when g(c) is divided by 8.
6
Suppose -3*t + 40 = 2*q, -t - 80 = -4*q - 3*t. What is the remainder when 38 is divided by q?
18
Let k = 21 - 17. Suppose x = k*b + 3*x - 64, 28 = 2*b + 2*x. What is the remainder when b is divided by ((-4)/6)/(2/(-30))?
8
Let v be (0 - 2)/(4/(-10)). Let f(b) = -10*b + 8. Let k be f(-6). Suppose v*y - k = y. Calculate the remainder when y is divided by 6.
5
Let w = -50 + 87. Calculate the remainder when 72 is divided by w.
35
Suppose 8 = 4*j - 4. Suppose 2*r + 3*r + 4*x = -11, -5*r + 1 = x. Calculate the remainder when (-21)/(-6)*r*2 is divided by j.
1
Suppose -3*j = 3*u - 15, 30 = -u + 5*u + 2*j. Suppose 0 = -7*l + u*l - 42. What is the remainder when 53 is divided by l?
11
Let v = 219 + -154. Calculate the remainder when v is divided by 34.
31
Let l(m) = 8*m**2 + 2*m - 2. Let s = -7 - -5. What is the remainder when l(s) is divided by 14?
12
Suppose -b + 2*j - 5 = 0, -2*j - 2*j = 5*b - 31. Suppose -2*n = -b*n + 13. Calculate the remainder when 36 is divided by n.
10
Let y(o) = 15*o**3 + o - 1. Suppose -140 = j - 6*j. Calculate the remainder when j is divided by y(1).
13
Calculate the remainder when 24 is divided by ((-14)/(-4))/(13/26).
3
What is the remainder when 110 is divided by 2 + (-7)/((-35)/130)?
26
Let g(p) = -2*p. Calculate the remainder when g(-1) is divided by -2 + 6 + (3 - 5).
0
Suppose 0 = -k - k + 10. What is the remainder when 13 is divided by k?
3
Suppose -4*y = -4*c - y + 44, 0 = y - 4. Suppose 6*o + c = 44. Calculate the remainder when 17 is divided by o.
2
Let v(w) = -30*w - 133. Let z(x) = -10*x. What is the remainder when v(-7) is divided by z(-2)?
17
Let z = -38 - -101. What is the remainder when z is divided by 11?
8
Suppose -36 = 4*i + 2*c, -3*i - 10 = -2*i + c. Suppose -2*q - 3 = -3*q. What is the remainder when ((-9)/12)/(2/i) is divided by q?
0
Suppose -2*d + 276 = 2*d. What is the remainder when d is divided by 24?
21
Suppose 4*k + 84 = y + 3*y, -13 = -y - k. What is the remainder when 67 is divided by y?
16
Let g = 23 - -5. Suppose 3*w = 5*w + 3*l - 2, 5*w = 4*l + g. What is the remainder when 15 is divided by w?
3
Let v = -4 - -20. What is the remainder when 10/(-35) + 993/21 is divided by v?
15
Let g = 5 + -1. Calculate the remainder when 82/g*8/4 is divided by 21.
20
Let p = 122 - 8. Calculate the remainder when p is divided by 29.
27
Calculate the remainder when (-482)/(-4) + (-5)/10 is divided by 31.
27
Let w = -7 - -4. Calculate the remainder when (-6 + 5)*10/(-1) is divided by -6*((-4)/w - 2).
2
Suppose r - 4*r + 15 = 0. Suppose -3*l + 2 = -z - 7, -5*z = r*l - 15. What is the remainder when 9 is divided by l?
0
Suppose -6 = 5*h + 9. Let r = -3 + 15. Calculate the remainder when (-104)/h + (-12)/18 is divided by r.
10
Suppose 0 = -v + 2*v - 11. Let r = -7 + v. Calculate the remainder when (6/9)/(r/186) is divided by 11.
9
Let y = -41 + 60. What is the remainder when y is divided by 11?
8
Let p(z) = z + 7. Suppose 3*a + 7 = j - a, 2*j - 8 = 2*a. What is the remainder when j is divided by p(-5)?
1
Suppose -3*l = -42 + 3. Suppose 0 = 5*y + m - 314, 2*m - 125 = -2*y + m. Calculate the remainder when y is divided by l.
11
Let f(c) = 49*c**3 + c**2 + c + 1. Let v be f(-1). Let u = v + 77. Calculate the remainder when u is divided by 15.
14
Let s = -339 + 363. Suppose -2*l + 52 = 2*l. Calculate the remainder when s is divided by l.
11
Suppose 3*g - 4*g + 8 = 0. Calculate the remainder when g is divided by (0 + (-15)/(-20))*4.
2
Suppose 3*a = 6*a - 18. Suppose a*x = 5*x + 13. What is the remainder when 38 is divided by x?
12
Let z(g) = 3*g**2 + 3*g + 2. Suppose 1 = 5*c + 11. What is the remainder when 29 is divided by z(c)?
5
Let u = 8 + 12. Let j(l) = 3*l + 1. Calculate the remainder when u is divided by j(2).
6
Let f(x) = 3*x - 4. Let u = 8 + -5. Let h be f(u). Suppose -4*k + 132 = m - 3*m, -4*m = 