 -4*b + 6*b = 3*f - 68, f - 19 = -3*b. Suppose s = w + 4, -s + 16 = 4*w - 2*w. What is the remainder when f is divided by s?
6
Let j = 10 - -33. Suppose x - 27 - j = 0. Let c = x + 44. What is the remainder when c is divided by 39?
36
Let v be (-2)/4*2*-1. Suppose v = -3*i + 142. Calculate the remainder when i is divided by 12.
11
Let v = -4 - -13. Let j = v + 9. What is the remainder when j is divided by 5?
3
Let t(n) = -6*n - 3. Let o be t(-9). Let i = -30 + o. Calculate the remainder when i is divided by ((-1)/(-2))/(2/32).
5
Suppose -275 = 24*x - 947. What is the remainder when 1343 is divided by x?
27
Suppose -5*v = 634 - 2369. What is the remainder when v is divided by 14?
11
Calculate the remainder when (-32)/10*(-17)/((-34)/(-35)) is divided by 42.
14
Let m(d) = -21*d + 1. Let j = -3 - 15. Let o = 9 - j. Calculate the remainder when m(-5) is divided by o.
25
Let v = 23 + -16. Suppose -43*i + 66 = -41*i. Calculate the remainder when i is divided by v.
5
Suppose 11*g - 15*g = -80. What is the remainder when g is divided by 8?
4
Suppose 7*l - 31 = 18. Let y = 17 - 6. Let s = -7 + y. Calculate the remainder when l is divided by s.
3
Let r(t) = -t**2 - 17*t - 10. Let m(w) = -w**2 + 16*w - 9. Let a be m(6). Suppose a = 4*u - 33. What is the remainder when r(-7) is divided by u?
18
Suppose -13*i = 27 - 92. Calculate the remainder when 86 is divided by i.
1
Suppose 12*p - 78 = 6*p. Let s = p + 28. What is the remainder when 161 is divided by s?
38
Calculate the remainder when (-42)/((-10)/(-15)*(-18)/84) is divided by 10.
4
Suppose 13*d - 292 + 84 = 0. Calculate the remainder when 8/20 - 223/(-5) is divided by d.
13
Let k be (-51)/(-12) - 4/16. Suppose k*m + 14 + 75 = 3*n, 3*m + 60 = 2*n. What is the remainder when n is divided by 7?
6
Calculate the remainder when 32 is divided by (2 + -3)*-3*21/9.
4
Let b(a) = 23*a**3 - a + 1. Let s be b(1). Suppose -s - 3 = -w. Calculate the remainder when 49 is divided by w.
23
Let s(v) = -6*v - 69. What is the remainder when 28 is divided by s(-14)?
13
Let s = -829 + 870. What is the remainder when 653 is divided by s?
38
Let u(d) = -2*d**3 + 2*d**2 + 2*d + 1. Suppose -9 + 4 = 5*i. Let o be u(i). Suppose -o - 17 = -2*h. What is the remainder when h is divided by 5?
0
Let a = 8 + 32. Suppose -21*p + 23*p = a. What is the remainder when p is divided by 9?
2
Calculate the remainder when 266 is divided by 2*-3*3431/(-438).
31
What is the remainder when 57 is divided by (3 + 13)*(-1)/(-2)?
1
Suppose -3*f = -2*f - 50. Calculate the remainder when f is divided by (-110)/(-8) - (-33)/(-44).
11
Suppose 0 = 43*y + 23*y - 2442. Calculate the remainder when 327 is divided by y.
31
Suppose -3*f + 5*l - 12 = 0, 6*f + l + 20 = f. Let k = f - -6. Suppose 108 = 4*d + 5*t, -k*d + 3*t + 135 = 3*d. Calculate the remainder when d is divided by 7.
6
Suppose -9 = -3*r - 2*h, -2*h - 1 = 4*r - 15. Suppose 48 = r*u - 147. Let p = u + -27. What is the remainder when p is divided by 5?
2
Let b(m) = -m**2 - 5*m - 3. Let p be b(-3). Suppose 0*f + 24 = p*f. Calculate the remainder when 18 is divided by (-2)/(3 - 1) + f.
4
Suppose 4*s + 4*v - 6 = 206, -106 = -2*s - 3*v. Let i be 8/4 - 4 - -5. Let d(m) = -m**3 + 4*m**2 + m + 2. Calculate the remainder when s is divided by d(i).
11
Let d be (-2 + 2 + 1)/((-15)/(-540)). Suppose d = 3*l - 2*k, -5*k + 65 = 3*l + 8. What is the remainder when 26 is divided by l?
12
Suppose 18 = -6*v + 84. What is the remainder when 151 is divided by v?
8
Suppose -p - 35 = w - 6*p, -5*w - p = 97. What is the remainder when 23 is divided by 12*-2*w/40?
11
Suppose -p + 40 = -5*t, 0*p = 4*p - 4*t - 160. Let j be (3/(-9))/(2/(-162)). Let w = j + -13. What is the remainder when p is divided by w?
12
Let u(y) = -y**3 + 30*y**2 - 53*y + 45. What is the remainder when u(27) is divided by 23?
19
Let x(b) = -21*b - 12. Let v be x(-2). What is the remainder when (v - -4) + -4 - -5 is divided by 13?
9
Suppose -2*p - 3594 = 5*z - 1198, 5*z + 4*p = -2392. Calculate the remainder when 32 is divided by 12/54 + z/(-27).
14
Let m = 1035 - 1009. What is the remainder when 57 is divided by m?
5
Suppose -3*r = y - 6, -5*r + 17 = y + 3*y. What is the remainder when (-3)/6*-1*(73 - r) is divided by 20?
16
Suppose -11*a = -15*a + 152. Suppose 2 = -4*q + 42. What is the remainder when a is divided by q?
8
Let l(c) = -4*c - 2. Let v be 1*-106*(-2)/(-4)*-2. Suppose d - v = -d. What is the remainder when d is divided by l(-4)?
11
Let v(n) = 2*n + 3. Suppose -5 = -8*k + 3. Let z = 43 - k. What is the remainder when z is divided by v(6)?
12
Calculate the remainder when 152*(5/5 + 0) - 2 is divided by 48.
6
Let l(w) = 9*w**2 + 10 - 3*w - 6*w**2 - 4*w. Calculate the remainder when 147 is divided by l(4).
27
Let q = 26 + -26. Suppose q = -5*y + 18 + 2. Calculate the remainder when 10 is divided by y.
2
Let s(k) = 2*k - 11. Let o be s(7). Suppose 0*a - o*r = -3*a - 60, 0 = -a - 3*r - 16. Let j = a - -38. What is the remainder when 73 is divided by j?
16
Let z = 113 + -106. Suppose -4*g + 26 = -j, -z*j + 10*j = 5*g - 29. What is the remainder when 31 is divided by g?
3
Suppose 4*p - 69 - 63 = 0. Suppose 0 = -9*w - 10406 + 10568. Calculate the remainder when p is divided by w.
15
Let i(r) = 4*r**2 + 3*r - 6. Let o(l) = 2*l**2 - 24*l - 5. What is the remainder when i(3) is divided by o(13)?
18
Let r(b) = b**3 - 30*b**2 - 29*b - 27. What is the remainder when 187 is divided by r(31)?
12
Let g = 7181 + -2772. Calculate the remainder when g is divided by 30.
29
Suppose 2*r - 25 = -3*r, -5*j + 3*r = 10. Calculate the remainder when (-1)/(2*j/(-38)) is divided by -1 + (-15 + 0)/(-3).
3
Let z(v) = -v**3 - 22*v**2 + 20*v + 34. Calculate the remainder when z(-23) is divided by 52.
51
Let t = 676 + -672. Calculate the remainder when 50 is divided by t.
2
Let x = -28 - -79. Suppose -l + 6*v - v + 32 = 0, -16 = -l + v. What is the remainder when x is divided by l + ((-2)/2)/(-1)?
12
Let o(r) = 2*r**2 + 4*r - 77. What is the remainder when 72 is divided by o(6)?
15
Suppose -18*k + 20*k = 96. Let q(l) = -2*l - 16. What is the remainder when k is divided by q(-13)?
8
Let b = -2 + 5. Suppose -5*n + 4*i + 17 = 0, 3*i = n + 4 - 14. What is the remainder when b is divided by n?
0
Let o be 0/(-15) + 32 + 1. Calculate the remainder when (3/9)/(1/o) is divided by 4.
3
Suppose 210 = 2*z + 5*l - 89, -2*z + 289 = 3*l. What is the remainder when z is divided by 18?
11
Suppose 71*q = 70*q + 36. What is the remainder when 129 is divided by q?
21
Let n(z) = -2*z**2 + z + 11. Suppose -11*h = -12*h - 2. What is the remainder when 0 + (-3)/((-3)/2) is divided by n(h)?
0
Let w = 6 + -6. Let a(c) = -c**3 + 6*c**2 + 8*c + 8. Calculate the remainder when (w - -28) + 6 + -7 is divided by a(7).
12
Let d be ((-24)/(-18))/((-2)/(-6)). Let q(z) = -2*z**2 + z**3 - 6*z**2 - 7*z - d*z**2 + 6 + 10*z**2. Calculate the remainder when 19 is divided by q(4).
9
Suppose -3 - 2 = -2*w + x, 13 = 4*w - 5*x. Suppose w*i + i = 21. Suppose 5*c = 10*c - 60. Calculate the remainder when c is divided by i.
5
Let i(x) = x**3 + 2*x**2 - 2*x - 2. Let p be i(2). Suppose p*y - 4*y = 222. Calculate the remainder when 107 is divided by y.
33
Suppose 105 = -4*l - 5*v, 2*l + 4*v + 69 = 9. Let j = l - -23. Let c = -16 + 22. Calculate the remainder when c is divided by j.
0
Let l(d) = d**2 - 15*d + 31. Calculate the remainder when 245 is divided by l(15).
28
Let p = 5 - 11. Let y(b) be the second derivative of -7*b**3/6 + 7*b**2 - 12*b. Calculate the remainder when y(p) is divided by 12.
8
Suppose 7*j - 8*j = 5*q - 68, -269 = -3*j - 2*q. What is the remainder when j is divided by 34?
25
What is the remainder when 201 is divided by (76/(-12))/((-14)/126)?
30
Let y = -37 - -52. What is the remainder when y is divided by 1*(-22)/(-4) + 21/(-14)?
3
Let g = 59 + -59. Let p(b) = -b + 27. What is the remainder when 53 is divided by p(g)?
26
Let l(q) = -q**3 + 5*q**2 - 3*q - 2. Let k be l(4). Suppose k*g + 3*g + 51 = 2*s, 4*s - 89 = -3*g. What is the remainder when 44 is divided by s?
21
Let h = 13 - 8. Suppose 3*q + 1 = 10. Suppose -5*j = -h, 4*s - 105 = s + q*j. Calculate the remainder when s is divided by 13.
10
Suppose 0 = 31*p - 14*p - 170. Let n be (3 + 0)/(6/44). Suppose 2*f = -4*y + n, -4*y - 3*f + 8 = -19. Wha