. Suppose 4*o - 15 = -3*l + 3*o, -a*l = o - 27. Let n(b) = 17*b**2 - 3*b - 4. What is the remainder when n(-1) is divided by l?
4
Suppose 4*f - f = 24. Calculate the remainder when (-32 + 29)*(-58)/6 is divided by f.
5
Let i = 283 + -158. What is the remainder when i is divided by 16?
13
Calculate the remainder when 2/3 + (-11375)/(-375) is divided by 16.
15
Suppose -162*p + 161*p + 59 = 0. Calculate the remainder when p is divided by 40.
19
What is the remainder when 153 is divided by 6*(-1 - 8/(-6)) - -29?
29
Calculate the remainder when (-14)/(2 - (-15)/(-6)) is divided by 2.
0
Suppose -522 = 8*q - 14*q. Calculate the remainder when q is divided by 18.
15
Suppose 0 = 49*u - 55*u + 288. Calculate the remainder when 237 is divided by u.
45
Let i = 50 + -38. What is the remainder when 6 is divided by (-152)/(-28) + i/21?
0
Suppose q + y - 115 = -0*q, 415 = 4*q - 5*y. Suppose -11*u + 16*u = q. What is the remainder when u is divided by 12?
10
Let s(z) = z - 8. Let f(t) = 1. Let v(k) = -5*f(k) - s(k). Suppose 0 = -7*c + 6 - 34. What is the remainder when 19 is divided by v(c)?
5
Suppose -26 = 3*i - 5*i. Let t(q) = q**2 + 10*q + 7. What is the remainder when t(-14) is divided by i?
11
Suppose -3*z - 63 + 25 = -2*s, -5*s + 104 = -3*z. What is the remainder when 2/(-5) + ((-5004)/15)/(-4) is divided by s?
17
Let h(s) = -s**3 - 19*s**2 - 21*s + 44. Let p(d) = -2*d**3 + 2*d**2 + 7*d - 3. Let l be p(3). What is the remainder when h(l) is divided by 51?
47
Suppose 5*o + 4*n + 16 = -0*n, 0 = o - 2*n - 8. Let u = o + 9. What is the remainder when u is divided by 1/(2 - (-9)/(-5))?
4
Let u(l) = 2*l + 12. Let r be u(-5). Let q = 6 - r. What is the remainder when 300/21 - 2/7 is divided by q?
2
Let m be (-51)/(-3) - (7 - 10). What is the remainder when 23 is divided by 8 + (-2)/((-8)/m)?
10
Suppose -2*c - 90 = -2*y + 40, 3*y + 2*c - 210 = 0. What is the remainder when y is divided by 14?
12
Let j = -35 - -67. Calculate the remainder when 351 is divided by j.
31
Suppose -7*f + 3145 = -2*f - 5*h, 2*h = -f + 626. Calculate the remainder when f is divided by 18.
16
What is the remainder when 110/20 - 5 - (-362)/4 is divided by 19?
15
Suppose -2*c = -4*c + 44. Let j(x) = 2*x**3 - 9*x**2 - 19*x + 100. Calculate the remainder when c is divided by j(4).
6
Let t(h) = -15*h + 7. Let f be t(-5). Let x = -25 + f. Let d = -26 + x. Calculate the remainder when d is divided by 16.
15
Let q(z) = 3*z - 1. Suppose -4*b = -5*b + 4. Let i be q(b). Let d = 2 + i. What is the remainder when 51 is divided by d?
12
Suppose 0 = -0*q - 39*q + 2262. What is the remainder when q is divided by 7?
2
Let s(u) = -58*u - 392. What is the remainder when s(-11) is divided by 62?
60
Calculate the remainder when 113 is divided by 40 + ((-66)/44)/((-3)/6).
27
What is the remainder when (58 - -21)*(1*2 - 1) is divided by 24?
7
Suppose h - 31 = -5*q, -155 = -5*h - 5*q + 10*q. Calculate the remainder when 144 is divided by h.
20
Let l be 16/(-56) + 66/(-14). Let s = l + 14. Let r(c) = c**2 + 9*c + 15. Calculate the remainder when r(-9) is divided by s.
6
Let w = 153 - 216. Calculate the remainder when 81 is divided by (1722/w)/(2/(-3)).
40
Let k(g) = g**2 - 2*g - 10. Let p be k(-3). Suppose -5*d + 145 = 4*o, -8*d + 11*d - 50 = p*o. Calculate the remainder when d is divided by 7.
4
Let a(b) = -b**3 + 5*b**2 + 3*b + 1. Suppose c + 0*c + 3*c = 0. Suppose c = -4*w + 47 + 17. Calculate the remainder when a(4) is divided by w.
13
Suppose 128 + 46 = 2*j. What is the remainder when j is divided by ((-52)/(-16)*4 + 5)*2/6?
3
Let k = -552 - -573. Calculate the remainder when 102 is divided by k.
18
Suppose -3*y = 4*l - 75 + 29, 5*l = -5*y + 70. Calculate the remainder when 23 is divided by y.
3
Calculate the remainder when 479 is divided by ((-52)/(-5))/(-11 - 501/(-45)).
11
Let b = -261 + 278. Calculate the remainder when 65 is divided by b.
14
Let f(z) = 5*z + z**2 - 7*z - 7*z + 11. Let j(d) = 8*d + 32. Let n be j(-3). Calculate the remainder when 3 is divided by f(n).
0
Let p(x) = x**3 - 3*x**2 - 3*x + 5. Let t = 50 - 36. Calculate the remainder when p(5) is divided by t.
12
Suppose -5*l - 10*z = -8*z - 430, 5*z = -l + 63. What is the remainder when 524 is divided by l?
84
Let l be (-1)/(0 - (-1)/3). Let v(c) = -3*c - 26 - 35 + 68. What is the remainder when 47 is divided by v(l)?
15
Suppose 0 = -l - 780 + 832. What is the remainder when l is divided by 16?
4
Suppose 0 = -3*q - 9, 4*s = 3*q + 10 + 171. Let t = -26 + s. Calculate the remainder when t is divided by 3.
2
Suppose 2*b - 77 = 2*f - 45, 0 = -3*b - 2*f + 43. What is the remainder when 281 is divided by b?
11
Let v be ((-25)/30)/((-5)/3)*4. Suppose -3*s + 20 = o + 2*s, -3*o + 43 = -v*s. Suppose 3*z + 9 - 36 = 0. What is the remainder when o is divided by z?
6
Suppose 0 = -9*a + 43 + 38. Let z be (-18 - 1)*9/(-3). Let l = z + -32. What is the remainder when l is divided by a?
7
Let f be 24*5*10/(-20). What is the remainder when 80 is divided by ((-369)/12)/((-5)/(f/(-9)))?
39
Suppose -2*s - 6 = 0, 4*s - s = 5*a - 2099. Let h(o) = o**3 + 5*o**2 - 4*o - 1. Calculate the remainder when h(-4) is divided by 8/(-36) + (-5 - a/(-18)).
13
Suppose -69*l + 21 = -68*l. Calculate the remainder when 58 is divided by l.
16
Suppose 3*n = -a - 0*a + 78, 0 = 4*n - 5*a - 123. Suppose -q = -1, 43 = -3*m + m - q. Let t = n + m. Calculate the remainder when 7 is divided by t.
2
Let n = -143 - -212. Suppose 4*h - 4*d + 72 = 0, 7*h - 4*d = 4*h - 51. Let j = h - -35. What is the remainder when n is divided by j?
13
Suppose 2*k - 2*r - 86 = 0, -5*r - 47 - 51 = -2*k. Suppose 4*v = 3*j - v - 35, -3*j + k = -3*v. Calculate the remainder when 39 is divided by j.
9
Let c(v) = -v**3 + v**3 - 12*v + 3 + 3 + 14*v**2 - v**3. What is the remainder when c(13) is divided by 4?
3
Suppose -2*i - 6 = 4*q - q, 4*i - q = 16. Suppose -5*b + 16 = -o, 0 = i*b - 2*o - 12 + 1. Suppose b*s - 7 = 26. What is the remainder when s is divided by 7?
4
Suppose 10 = 5*t - 0. Let k be (-1)/t - (-5837)/26. What is the remainder when 29 is divided by ((-2)/(-2))/(14/k)?
13
Let x(d) = d + 5. Let b = -133 + 156. What is the remainder when b is divided by x(0)?
3
Let z(x) = -5*x - 3. Let p(s) = -16*s + 193. What is the remainder when p(11) is divided by z(-2)?
3
Suppose -3*f - 38 + 8 = 0. Let r be (16/(-10) + 1)*f. Suppose r = d + d. Calculate the remainder when 4 is divided by d.
1
Let b = 104 + 135. Calculate the remainder when b is divided by 48.
47
Suppose -3*n = -0*n + 4*g + 86, -5*g - 48 = 2*n. Let o = 48 + n. What is the remainder when o is divided by 4?
2
Let v be 7 + -10 - -1*3. Suppose v = -9*c + 4*c + 185. Suppose -2*u = 3*u - 50. Calculate the remainder when c is divided by u.
7
Suppose 4 = 2*p, 2*p - 4 = 4*o + 12. Calculate the remainder when (-1)/((-2)/o) + 4347/54 is divided by 41.
38
Suppose 4*k + 112 = 304. Let t = k + -5. Calculate the remainder when t is divided by 11.
10
Let c = 66 - 64. Suppose -5*p + p = c*m - 34, 3 = 3*m. Calculate the remainder when 28 is divided by p.
4
Suppose s + 8 + 2 = 0. Let z be (-11)/(-5) + 2/s. What is the remainder when ((-1)/z)/(5/(-470)) is divided by 12?
11
Suppose 65*y + 27 = 68*y. What is the remainder when 3*(35/3 - 3) is divided by y?
8
Suppose 0 = 4*w - 53 - 19. Suppose -4*d - 2*f = 8, -5*d + f = 11 + 6. What is the remainder when 2/d + 1128/w is divided by 16?
14
Let a(x) = x**3 + 4*x**2 - 5*x + 4. Let d be a(-5). Suppose 5*c = -k + 32, 56 = 5*k + 3*c - d*c. Let i = 3 + k. Calculate the remainder when 57 is divided by i.
12
Let s = -187 + 108. Let q = s - -111. Let l = -6188 - -6199. Calculate the remainder when q is divided by l.
10
Calculate the remainder when 0/(-1) - -1*62 is divided by (-35)/(-40)*6*(6 - 2).
20
What is the remainder when 51 is divided by (2 - -22) + 2/1 + 1?
24
Let d(t) = 136*t**2 + 34*t + 35. What is the remainder when d(-1) is divided by 41?
14
Suppose 470 = -6*u + 140. Let p = -48 - u. What is the remainder when p is divided by 5?
2
Let o = -23 - -21. Calculate the remainder when 22 is divided by 36/(-45)*(o + -8).
6
Let p(s) = s**2 - 8*s + 15. Let m be p(7). Suppose 2*i - 14 = -m. Suppose -2*w - i*w - 24 = -2*l, 4*l + 4*w = 48. What is the remainder when 34 is divided by l?
10
Let y = 28 + 8. Let r(o) = -o**3 + 5*o**2