 1. What is the remainder when x(-6) is divided by 44?
27
Let j = -7 + 11. Suppose 0 = j*f - 149 + 49. Let d(u) = 12*u + 1. Calculate the remainder when d(4) is divided by f.
24
Let c(f) = -14*f + 1. Let b be c(-5). Suppose -77 = -5*r + 2*s, 6*s - b = -3*r + s. What is the remainder when r is divided by 9?
8
Suppose -4*w = -3*n + 5*n - 482, w = -2*n + 125. What is the remainder when w is divided by (39 - (-1 - -4))*20/30?
23
Suppose 2 - 18 = -z. Let b = 154 - 102. Suppose 3*a - 83 = b. What is the remainder when a is divided by z?
13
Suppose -261 = -2*z - 21. Calculate the remainder when 49 is divided by (-48)/z + 87/5.
15
Let y(f) = 11*f + 235. What is the remainder when 514 is divided by y(-18)?
33
Let u(i) = -i**3 - 12*i**2 - i - 16. Let a be u(-12). Calculate the remainder when 2/a*(-65 + 3) is divided by (44/(-6))/(18/(-27)).
9
Suppose 0 = 5*c + 3*d - 4, 5*d = -3*c - 3 - 1. Suppose c*o + 159 = 3*w - 35, -3*o - 53 = -w. What is the remainder when w is divided by 35?
33
Let c be 2/(-4)*(1 + 1) + 6. Suppose a - 2*o + 24 = 75, -3*o - 234 = -c*a. What is the remainder when a is divided by 16?
13
Let s(x) = -6 - x**3 - 7*x**2 - 4 + 4*x + 4*x + 0*x. Let t be s(-8). What is the remainder when (-100)/t*(-5)/(-2) is divided by 9?
7
Let n = 255 + -126. Calculate the remainder when n is divided by 22.
19
Let d = -587 - -829. What is the remainder when d is divided by 53?
30
Suppose -5*y + f = -1332, -3*f + 2*f = -4*y + 1066. What is the remainder when y is divided by 45?
41
Suppose 4*i - 6*i - 5*y = -15, 0 = 3*y + 3. What is the remainder when 107 is divided by i?
7
Suppose -r = 4*r - 2*w - 52, 4*w + 54 = 5*r. What is the remainder when 49 is divided by r?
9
Let b = 36 - -15. Let w be 3/(2 + (-1 - 2)) - -3. What is the remainder when b is divided by 13/((-3 - (-2 - w))*-1)?
12
Calculate the remainder when 69 is divided by -5 + 27 + 3 + (-3)/3.
21
Suppose -6 = -8*l + 6*l. Calculate the remainder when 36 is divided by l.
0
Let f = -1543 - -2162. Calculate the remainder when f is divided by 89.
85
Let l be 5/(3 - 16/6). Let v = l - 12. What is the remainder when 10 is divided by v?
1
Let g(d) = -d**2 + 9*d + 6. Let q be g(9). Suppose 0 = -3*n + 21 - q. What is the remainder when 26 is divided by n?
1
Let w be -2 + -8 + 0/1. Calculate the remainder when 52 is divided by ((-135)/w)/((-3)/(-6)).
25
Let j(h) = -2*h - 3. Let x = -19 - -12. Let i be j(x). Let m = i - 6. Calculate the remainder when 13 is divided by m.
3
Let k = -587 + 647. What is the remainder when 173 is divided by k?
53
Suppose -2*x = -2*h + 48, -3*h + 14 = -x - 7*h. Let n = 38 + x. Calculate the remainder when 77 is divided by n.
13
Let c(t) be the third derivative of t**4/12 - t**3/3 + 2*t**2. Suppose 0 = -5*w + 24 + 6. Calculate the remainder when c(w) is divided by 4.
2
Let s = -123 - -178. Let x(q) = -4*q - 10. Calculate the remainder when s is divided by x(-6).
13
Let q(m) = -m**2 - 28*m - 64. Calculate the remainder when 404 is divided by q(-3).
8
Suppose 5*y = -2*z - z - 10, 0 = z + 4*y + 15. Suppose 0 = -4*i + z*l + 130, 5*i = 2*l + l + 169. Calculate the remainder when i is divided by 12.
11
Let q = 17 - 26. Let t = 14 + q. Let c(k) = k**2 - 81*k - 703. What is the remainder when c(-8) is divided by t?
4
Let g = -65 + 103. Let d = g + -33. What is the remainder when 37 is divided by d?
2
Let q = 37 - 34. Calculate the remainder when (9/q - 9)*(-20)/6 is divided by 13.
7
Let j = 18 + -9. What is the remainder when 2223/52 + ((-2)/8)/(-1) is divided by j?
7
Let f(q) = -42*q**3 - 5*q - 4. Calculate the remainder when 208 is divided by f(-1).
36
Let u(z) = 7*z**2 + 1. Let o be u(-1). Suppose 11 = -c + o. Let l(f) = -3*f + 6. Calculate the remainder when l(c) is divided by 9.
6
Let r(h) = h**3 + 6*h**2 - h + 10. Let q be r(-7). Let w = 39 + q. Calculate the remainder when 39 is divided by w.
4
Let y be 1 + -3 + (14 - 2). Suppose 6*f = 2 + y. What is the remainder when 17 is divided by -2 - (-28)/8*f?
2
Suppose -t + 3*t + 2*q = 22, 5*t + 2*q - 67 = 0. Calculate the remainder when 89 is divided by t.
14
Suppose -4*f = -d + 63, -2*d + d + f = -66. Let z = d + -20. What is the remainder when z is divided by 10?
7
Let z(g) = -g - 4. Let u be z(-5). Suppose -q - 3*w = -2*w - u, w + 14 = 4*q. What is the remainder when (-20)/35 - (-159)/21 is divided by q?
1
Suppose -2*x = -1 - 7. Let d = 43 + -38. Suppose 0 = t, 0 = -2*p - 5*t - 1 + d. Calculate the remainder when x is divided by p.
0
Suppose -88 = -14*h + 10. Let d = 26 - 9. Suppose 3*l = 22 + d. What is the remainder when l is divided by h?
6
Let o(m) = m**2 + 5. Let n be o(0). Suppose 0 = n*y - 68 - 2. Calculate the remainder when 53 is divided by y.
11
Suppose 3*f + 920 = -484. Let t be f/(-45) - 2/5. Let c = 9 + t. Calculate the remainder when c is divided by 7.
5
Let i = -3 + -33. What is the remainder when 878/14 - i/126 is divided by 16?
15
Let a(r) = 7*r + 47. Calculate the remainder when a(24) is divided by 73.
69
Suppose 0 = -g - g + 5*w - 17, g = w - 10. Let v = -6 - g. Suppose 0*x + v*r = -2*x + 16, -3*r = -6. Calculate the remainder when 5 is divided by x.
2
Let k be 5 + (4 + -1)/(-3). Suppose k*i - i = 177. Let u(v) = v**2 - 8*v + 30. Calculate the remainder when i is divided by u(3).
14
Calculate the remainder when 47 is divided by 24 + (7/7 - 9).
15
Let c(v) = 3*v**3 - 3*v**2 + 2*v + 6. What is the remainder when c(3) is divided by 17?
15
Suppose -3*c = n - 18, -2*c - 5*n = -0*n - 12. Let p = -255 - -255. Suppose p = c*x + 3 - 21. What is the remainder when x is divided by 3?
0
Let d = 15 - 10. Suppose -4*l + 55 = -d. Suppose -4*b - 232 = -8*b - 4*j, -2*b + 110 = -4*j. Calculate the remainder when b is divided by l.
12
Let w = -2 + -19. Let r = w - -25. What is the remainder when 14 is divided by r?
2
Let v = -85 + 114. Suppose -l - 4*l - 5*p = -75, 0 = -3*l + 5*p + v. Calculate the remainder when l is divided by 4.
1
Suppose -273 = 88*j - 92*j - 5*d, 0 = j + d - 67. What is the remainder when j is divided by 31?
0
Suppose 16*p = 13*p - 45. Let u = 28 + p. What is the remainder when 64 is divided by u?
12
Suppose 42*k - 46*k + 76 = 0. What is the remainder when 51 is divided by k?
13
Calculate the remainder when ((-1592)/(-28))/((-12)/(-84)) is divided by 57.
56
Let q = 265 - 250. What is the remainder when 56 is divided by q?
11
Let b be (1 + -2)/(14/(-42)). Suppose -4*w + b*l = -201, 0*l + l - 1 = 0. Calculate the remainder when w is divided by 9.
6
Let x = -613 - -643. What is the remainder when x is divided by 4?
2
Suppose 3 + 17 = 5*k. Calculate the remainder when 13 is divided by k.
1
Let b(d) = d + 5. Let r be b(6). Suppose 4*k + 2*k + 48 = 0. Let z = r + k. Calculate the remainder when z is divided by 2.
1
Let f be 1*-1*-2*(-25 + 22). What is the remainder when (-138)/(-3*((-20)/f + -3)) is divided by 14?
12
Suppose 190*c = 166*c + 768. Calculate the remainder when 63 is divided by c.
31
Suppose 0 = u + 1 + 4, 3*y = -4*u + 91. Let f = -27 - -37. Calculate the remainder when y is divided by f.
7
Let d(b) = -b**3 + 6*b**2 + 2*b - 7. Let j(q) = -q + 3. Let w be j(-3). What is the remainder when ((-19)/(-2))/(6/12) is divided by d(w)?
4
Let r be ((-4)/(-14) - 161/49) + -31. Let x = -32 - r. Let l(s) = s - 1. What is the remainder when x is divided by l(3)?
0
Let x = 0 - -42. Let i = 24 + x. Let o = i - 31. Calculate the remainder when o is divided by 13.
9
Calculate the remainder when 37 is divided by (14 + -25)*4/(-2).
15
Let t = 34 - 49. What is the remainder when 44 is divided by 120/25*t/(-6)?
8
Let i(a) = -3*a**3 - 10*a**2 + 6*a - 15. What is the remainder when 316 is divided by i(-5)?
76
Let u(g) = -g - 4. Let b(r) = 2*r + 5. Let f(a) = 2*b(a) + 3*u(a). Let n = -749 + 751. Calculate the remainder when n is divided by f(4).
0
Let a = 133 + -126. What is the remainder when 131 is divided by a?
5
What is the remainder when 54 is divided by 440/32 + 35/(-20)?
6
Let q(k) = 69*k - 448. What is the remainder when q(7) is divided by (-36)/(-2*1) - -2?
15
Let x(q) = 4*q + 3. Suppose 4*j - 23 = 3*y + 57, 38 = 2*j - y. Calculate the remainder when x(7) is divided by j.
14
Suppose 8*u = -131 + 155. Calculate the remainder when 36 is divided by u.
0
Let a = 68 - 46. What is the remainder when (-14)/21 + (-329)/(-3) is div