ose 4*y - 2*q - 160 = y, 3*y = 5*q + i. Calculate the remainder when y is divided by 9.
5
Suppose -4*s + 3 = -17. Let j = -4 + s. Calculate the remainder when 29 + 3/j + -1 is divided by 8.
7
Let j = -12 + 144. Let k = j + -37. What is the remainder when k is divided by 32?
31
Let d(h) = 54*h - 163. What is the remainder when d(14) is divided by 23?
18
What is the remainder when (-16)/(-2) + -22 + 173 is divided by 20?
19
Let m = 990 + -941. Suppose 15 + 60 = 3*x. What is the remainder when m is divided by x?
24
Let a = 1401 - 1314. Calculate the remainder when 263 is divided by a.
2
Suppose 0 = -3*q - 6*q + 261. Calculate the remainder when q is divided by (2/3)/(1/24).
13
Suppose -5*u - 2*i + 225 = 0, -2*i + 9 = -1. Suppose 0 = 991*f - 999*f + 96. Calculate the remainder when u is divided by f.
7
Suppose -5*j - m + 2 = -3, -2*j = -3*m - 2. Let f be j/2*8 - 4. Suppose 44 = 2*z - f. What is the remainder when 64 is divided by z?
20
Let c(y) = y**2 - 6*y + 45. Calculate the remainder when c(-28) is divided by 27.
25
Suppose 0 = -i - 5 - 2. Let x be 1/4*0/i. Suppose -2*u - k + 3 = x, 9 = u + k - 2*k. Calculate the remainder when 5 is divided by u.
1
Suppose 0 = 43*z - 48*z + 80. Suppose -3*g + 5*y + 33 = 0, g - 3*g = 3*y - 22. What is the remainder when z is divided by g?
5
Let k be (-498)/(-9) + (-5)/15. Suppose 47 = 6*l - k. Calculate the remainder when 31 is divided by l.
14
Let i(a) = -a + 14. Let c be i(12). Suppose c*f = -3*x + 95, -2*x + 125 = 3*x - 5*f. Calculate the remainder when x is divided by 15.
14
Suppose 2*x = 5*x - 15. Suppose x*c - 88 = 82. Calculate the remainder when 167 is divided by c.
31
Calculate the remainder when (20 - 4) + (-30)/(-5) is divided by 12.
10
Suppose 5 = r - 5*x, -2*r + 5*r - 4*x = 26. Calculate the remainder when 55 is divided by r.
5
Let x be 13/(-2*-3*(-4)/(-24)). Calculate the remainder when 86 is divided by ((-2)/1*1 - -2) + x.
8
Suppose -3*g = 2*k - 84, -154 = -3*k - k + g. What is the remainder when 120 is divided by k?
3
Suppose 0 = 3*r + 4*u + 47, 2*u = -3*r - u - 45. Let t = 22 + r. What is the remainder when 42 is divided by t?
6
Let r(v) = v**3 + 5*v**2 - v + 17. Let n be (-39)/(-9) + (-2)/6. Suppose -3*b + 4*m = -1, -4*b - 41 = b + n*m. What is the remainder when r(b) is divided by 6?
4
Let a = 131 - 225. Let j = a + 100. What is the remainder when 19 is divided by j?
1
Let p be (9/(-4))/((-6)/8). Let h(r) = r + 1. Let s be h(p). What is the remainder when s*(188/8 + -1) is divided by 13?
12
Let j = -1661 - -1868. Calculate the remainder when j is divided by 27.
18
Let d(x) = 7*x**2 + 30*x + 4. Calculate the remainder when d(-6) is divided by 23.
7
Suppose 6*l - 3*l - 5*j - 454 = 0, 2*l = -5*j + 311. What is the remainder when l is divided by 83?
70
Let l = 27 - 11. Suppose y - k = l, -2*y + 110 = 3*y + k. Let f(d) = 4*d**2 - 4*d + 4. What is the remainder when y is divided by f(2)?
9
Let b(g) = 2*g + 1. Suppose -5*n + 20 = -n. What is the remainder when 35 is divided by b(n)?
2
Let o = 28 - 7. Let k = 141 - 101. Calculate the remainder when k is divided by o.
19
Let t = 288 + -168. Let a(m) = m**3 - 2*m**2 + 2*m - 11. Let w be a(3). Suppose 0 = -w*x - 0*x + t. What is the remainder when x is divided by 11?
8
Suppose 5*m + 5*l = 2*l + 1816, 2*l = 4*m - 1466. What is the remainder when m is divided by 22?
13
Suppose -m = m - 4*b + 16, 3*m - 5*b = -19. Suppose -n + 56 = 3*x + n, n = -m. Let v = 39 - 2. What is the remainder when v is divided by x?
17
Let h = -758 - -1476. What is the remainder when h is divided by 15?
13
Let c(d) = -d**3 + 13*d**2 - 15. Let t be c(10). Suppose 5*v = 790 - t. What is the remainder when v is divided by 13?
10
Let z = 33 - 9. Let r(c) = 3*c - 41. What is the remainder when z is divided by r(17)?
4
Let o = 46 - 49. Suppose -88 = -4*n - 20. Calculate the remainder when (1 - 4/3)/(o/603) is divided by n.
16
Let h(k) = 8*k**3 - 2*k**2 + 3*k - 1. Let n(z) = z**3 - 4*z**2 + 5*z - 2. Let m be n(3). Calculate the remainder when 2/m - 232/(-16) is divided by h(1).
7
Let w = 48 - 20. Suppose -3*o + w = -z, 3*o - o + z - 27 = 0. Let a(y) = 33*y - 3004. Calculate the remainder when a(93) is divided by o.
10
Suppose -l - 3*i + 26 = 0, 0*i - 59 = -4*l + 3*i. Let c be 40/(-32) - 2/(-8). Calculate the remainder when c/((-4)/372*3) is divided by l.
14
Calculate the remainder when (-538)/(-12) - (-12)/72 is divided by 8.
5
Calculate the remainder when 184 is divided by 12/18 + (-1495)/(-39).
28
Let w = 18 - 4. Let v(y) be the second derivative of y**4/6 + 7*y**3/3 + 17*y**2/2 - 13*y. Calculate the remainder when v(-9) is divided by w.
11
Let q(t) = -11*t - 1. Let p be (-4)/14 - 74/(-14). Suppose -p*w = -88 - 57. Calculate the remainder when w is divided by q(-1).
9
Calculate the remainder when 7/70 + (-7276)/(-40) is divided by 27.
20
Let s = -22 - -21. Let y be (s + 0)*(-3 + 0). Suppose 0 = -y*j + 3, 5*n = -j - 10 + 61. Calculate the remainder when 18 is divided by n.
8
Let b be (-129)/(-6) + 6/(-12). Suppose -3*p = -2*q + 42, 2*p = -q - p + 12. Calculate the remainder when (-312)/(-9) + 7/b is divided by q.
17
Let d = -3 + 24. Let k = d + -11. Suppose s - 4*j = -2*s + 62, 5*s + j - 88 = 0. Calculate the remainder when s is divided by k.
8
Let a(n) = n**2 - n - 51. Suppose 4*b = -5 + 1. Let y = 5 + b. Calculate the remainder when a(-8) is divided by y.
1
Calculate the remainder when (-3)/75*-5 - (-288)/10 is divided by 12.
5
Let w be (11/11)/(1/(-175)). Let t be w/(-10) - 3/2. Suppose 40 = 4*l - t. What is the remainder when l is divided by 8?
6
Let p = 45 - 44. Calculate the remainder when (-1 - 3) + 33/p is divided by 16.
13
What is the remainder when 177 is divided by (12/(-5) - -6)*(4 + 1)?
15
Let u = -305 - -342. Calculate the remainder when u is divided by 36.
1
Suppose 2*h = -2*b + 104, -5*h + 61 = 3*b - 191. Calculate the remainder when h is divided by ((5 - 8) + 2)*(-21)/3.
6
Let x = -10 + 17. Suppose 5*m = -x - 28. Calculate the remainder when m/(21/(-150)) - 1 is divided by 26.
23
Let u(l) = l**2 - 8*l + 10. Let c = 15 + -9. Let j = 15 - c. Calculate the remainder when u(j) is divided by 5.
4
Let v(o) = -2*o + 21. What is the remainder when 29 is divided by v(3)?
14
Let q(w) = w**3 + 7*w**2 - 9*w - 9. What is the remainder when q(-5) is divided by 14?
2
Suppose 2*h = 137 + 403. Calculate the remainder when h is divided by 16.
14
Let a = 422 + -151. Calculate the remainder when a is divided by 13.
11
Let q be (20/(-12))/((-2)/6). What is the remainder when 5/(-25) + 131/q is divided by ((-4)/6)/((-6)/(-63)*-1)?
5
Let p(g) be the first derivative of 0*g + 11/3*g**3 + 9/2*g**2 + 4 + 1/4*g**4. What is the remainder when 29 is divided by p(-10)?
9
Suppose -3*x + 29 = 2*u, 3*x - 2*u - 20 = -x. Let n = 11 - x. Suppose -51 = -4*o + 9. What is the remainder when o is divided by n?
3
Suppose -4*m = 4*j - 32, 40 = -0*j + 2*j - 4*m. Suppose j = -2*w + 36. Calculate the remainder when 35 is divided by w.
11
Let p be 28/8*(-20)/(-14). Suppose -66 = -f - p*f. Calculate the remainder when f is divided by 4.
3
Let p = 1900 + -1753. Calculate the remainder when p is divided by 46.
9
Suppose 126 = 4*h - 2*u, -3*h - 37*u + 36*u = -102. What is the remainder when 50 is divided by h?
17
Suppose -9*g = -13*g + 256. Suppose 4*q = -4*t - g, -3*q + 5*t - 44 = 4*t. Let s = q + 57. Calculate the remainder when s is divided by 11.
9
Suppose 8 + 0 = -2*y, -4*h - 5*y = 48. Let f be (-3)/((-1)/2*-3). Calculate the remainder when 11 is divided by 1/(h/4 - f).
3
Let j(x) = 3*x**2 - x - 1. Let a be j(-1). Suppose q + a*q + 12 = 0, 3*l - 48 = -5*q. What is the remainder when l is divided by (-4)/(-22) - (-119)/11?
10
Let i(m) = m**3 - 8*m**2 - 11*m + 23. Calculate the remainder when (-2 - 4/(-3))*-12 is divided by i(9).
3
Suppose -5*t + 0*t = -330. Suppose -t = -2*o - 0*o. Suppose a - 5*z - o = 0, 3*z - 67 - 64 = -2*a. Calculate the remainder when a is divided by 15.
13
Suppose 3456 = -68*s + 52*s. Suppose q = -q - 8. Calculate the remainder when 69 is divided by q/14 + s/(-21).
9
Let n(z) = 8*z**2 - 3*z + 4. Suppose 3*v - 54 = -4*g, 1232*v - 1234*v + 38 = 3*g. What is the remainder when n(3) is divided by v?
7
Let g(t) = 6*t - 7. Let c(f) = f. Let n(z) = -3*c(z) + g(z). Let j be n(4). What is the rema