28
Suppose -4*c - 35 = 4*r + 1, -5*r = 25. Calculate the remainder when (-19)/((c + 3)*1) is divided by 47/9 - (-6)/(-27).
4
Let s(d) = 16*d + 2. Let k be s(6). Suppose 3*b - k = l, 5*b - 170 = -9*l + 4*l. Suppose -2*j = -3*j + 97. What is the remainder when j is divided by b?
31
Let m = 1068 - 1027. What is the remainder when 448 is divided by m?
38
Let g = 43 - 40. Suppose 4*s + 2*o = g*o + 217, 0 = -3*s + 2*o + 159. What is the remainder when s is divided by 28?
27
Suppose 3*v = 5*y - 0*v - 757, 4*y - 608 = 3*v. Let w = y + -96. Suppose -q = 0, 5*q - 8 = -3*b + 76. What is the remainder when w is divided by b?
25
Suppose 324 = h - 2*w, -4*w + 6 = 26. Calculate the remainder when h is divided by 107.
100
Let q(w) = -w**3 + 5*w**2 - w - 8. Let n be q(4). Suppose -6 = k - 4*k. Calculate the remainder when ((-48)/(-36))/(n/6) is divided by k.
0
Suppose -84 = -8*a + 4*a. Suppose -4*r + 5*f = -2*r - 28, -a = -3*r - 3*f. Let d = 5 + 0. What is the remainder when r is divided by d?
4
Let g(n) = -7*n**2 + 8 + 6*n + 1 + 9*n**2. What is the remainder when g(-5) is divided by (4/(-18)*6)/((-2)/24)?
13
Suppose 5*d + 646 + 139 = 5*t, -d + 4 = 0. What is the remainder when t is divided by 55?
51
Let s = 116 - 32. Let j = s - 56. Calculate the remainder when j is divided by 11.
6
Suppose 0 = -10*t + 321 + 1359. What is the remainder when t is divided by 29?
23
Suppose 0 = 3*h - 4*t - 101, h - 4*t + 2*t = 33. What is the remainder when 216 is divided by h?
6
Let h(o) = -o - 5. Let f(q) = -q**3 - 20*q**2 + 3. Let y be f(-20). What is the remainder when (-58)/(-4) + y/(-2) is divided by h(-10)?
3
Let h = -1205 + 1336. What is the remainder when 510 is divided by h?
117
Let m(n) = -n**2 - 11*n - 7. Suppose -s + 0 = -3. Calculate the remainder when 90/(9/(-6) + s) is divided by m(-7).
18
Let u = 85 + -43. Let r = -1 + 16. Calculate the remainder when u is divided by r.
12
Let r = -29 - -33. Suppose -5*f = 0, p + r*f = 2*p - 10. What is the remainder when 27 is divided by p?
7
What is the remainder when (-117)/1*(-7)/21 is divided by 11?
6
What is the remainder when ((-10)/(-3) - 2/(-3)) + 56 is divided by 11?
5
Let s = -37 + 160. Calculate the remainder when s is divided by 4.
3
Suppose 4*u + 5*y = 244, -6*u + 2*y = -2*u - 216. Calculate the remainder when u is divided by 33.
23
What is the remainder when (-145)/(-2)*(-9 + (-204)/(-20)) is divided by 13?
9
Let t(w) = -w**3 - w**2 - w + 6. Let r be t(0). Suppose -141 - r = -7*n. What is the remainder when 62 is divided by n?
20
Let h(n) = 3*n**2 + n + 8. Let r(o) = o**3 - 4*o**2 - 7*o + 4. Suppose -35 = -2*l - 25. Let y be r(l). Calculate the remainder when h(y) is divided by 28.
26
Suppose 0 = -3*m + 4*z + 878, -5*m + 2*z - 5 = -1487. What is the remainder when m is divided by 23?
22
Let j = -2681 + 2700. Let d = -150 - -222. Calculate the remainder when d is divided by j.
15
Suppose 14 + 10 = -u. Let w = u - -32. What is the remainder when 30 is divided by w?
6
Suppose -4*h - u - 338 = -7*h, 3*h - 4*u - 326 = 0. What is the remainder when h is divided by 54?
6
Suppose -5*f + 1993 = 753. Suppose -f = 5*k - 643. Let v = -852 - -879. What is the remainder when k is divided by v?
25
Suppose 4*b = 2*o + 70, 20 = -4*b - 2*o + 110. Let a = -2269 + 2307. What is the remainder when a is divided by b?
18
Suppose a - 19 = -0*a + g, -5*g = 2*a - 73. Let p = a + -21. Suppose z + 16 = p*z. What is the remainder when 30 is divided by z?
6
Let n(t) = t**3 + t**2 + t. Let w(z) = 2*z**3 + 6*z + 12. Let k(q) = -3*n(q) + w(q). What is the remainder when k(-5) is divided by 16?
15
Let u(p) = -p**2 - 9*p - 2. Suppose -4*q + 2786 = 2*h, 5*h - 2992 = 4*q + 3945. What is the remainder when h/45 + (-4)/(-30) is divided by u(-6)?
15
Suppose -24 = n - 2*n + 3*g, -g = 5*n - 40. Let h(i) = 8*i**2 + 7*i - 13. Let s be ((-6)/27*6)/((-4)/6). What is the remainder when h(s) is divided by n?
6
Suppose 4*d + 4*n - 51 = -n, -12 = -d - 2*n. Suppose 2*r + 5*k + d - 33 = 0, 3*r + 4*k = 25. Calculate the remainder when 47 is divided by r.
5
Let v(o) = o**2 - 11*o + 32. What is the remainder when 47 is divided by v(9)?
5
Suppose 14*r - 22*r = -928. What is the remainder when r is divided by 20?
16
Suppose 3*d = v + 30, -v + 0*d + 2*d = 25. Let i = 21 + v. Let o = 45 - 23. Calculate the remainder when o is divided by i.
4
Let q(j) = j**2 + 16*j - 63. What is the remainder when 133 is divided by q(5)?
7
Suppose -4*p + 5*l - 77 = -6*p, -3*p = 3*l - 93. Let r(v) = v - 6. Let t be r(-3). Let u = t - -16. Calculate the remainder when p is divided by u.
5
Let g be -2*13/(-6) + 4/6. Let i(f) = 2*f**2 - 4*f - 12. What is the remainder when i(g) is divided by 11?
7
Suppose 11*h = 20*h - 351. Calculate the remainder when h is divided by 10.
9
Calculate the remainder when -2 - (-95 - 20/(-5)) is divided by 49/2 + 30/(-20).
20
Let i = 17 - 11. Let o = -76 + 79. Suppose -2 = 2*q - o*q. Calculate the remainder when i is divided by q.
0
Suppose 103*a + 1040 = 113*a. What is the remainder when a is divided by 10?
4
Suppose -n + 2*n + 41 = 3*k, 0 = -2*k + n + 29. Suppose 60*m - 2551 = -1589 + 1558. Calculate the remainder when m is divided by k.
6
Let c = -2624 + 2687. Calculate the remainder when 163 is divided by c.
37
Let o(x) = 5*x + 107. Calculate the remainder when 34 is divided by o(-19).
10
Let t(y) = -4*y + 2. Let n = -12 + 15. Let d be (-2 - -5) + -7 + n. What is the remainder when t(d) is divided by 3?
0
Suppose -73 = -4*s - 13. Calculate the remainder when s is divided by 8.
7
Suppose 0 = -3*x - 2*k + 29 - 146, -188 = 5*x + k. Let a = 63 + x. Calculate the remainder when a is divided by 9.
8
Suppose -4*q - 3*g - 18 = 3, 0 = 2*q + 2*g + 12. Let i be 1/(q*(-2)/(-12)). What is the remainder when 12 is divided by ((-18)/30)/(i/10)?
0
Let w = 2 + -3. Let r be -27*(w + 2)/(-1). Suppose 8*l - 3*b = 3*l + 69, r = 3*l + 3*b. Calculate the remainder when 45 is divided by l.
9
What is the remainder when (-1)/(19344/(-2763) + 7) is divided by 71?
69
Let y = 3 - -24. Suppose 5*l - 80 = 450. Calculate the remainder when l is divided by y.
25
Let a(g) = g - g**2 - 3 + 18*g - 2*g. Let i(b) = b**2 + 9*b - 86. Calculate the remainder when a(13) is divided by i(7).
23
Let h(f) = 4*f**2 - 47*f - 145. What is the remainder when 1726 is divided by h(-3)?
30
Let i(l) = 5*l**3 - 4*l + 4. What is the remainder when 34 is divided by i(1)?
4
Let w = 1037 + 16. Calculate the remainder when w is divided by 7.
3
Suppose -3*n = -5*n - 4. What is the remainder when -2 + n - 340/(-5) is divided by 17?
13
Let h = 9 + -9. Suppose h*b + 19 = b. Let t = 32 - b. What is the remainder when t is divided by 7?
6
Let n(b) = -2*b**3 - 1. Let p be n(1). Let f(q) = q**3 + 5*q**2 - 3*q. Let v(h) = 23*h - 59. Calculate the remainder when f(p) is divided by v(3).
7
Let z = -6 + 9. Let r(g) = -5*g - 3. Suppose x + 28 = -5*l - 3*x, -3*l - 4*x - 20 = 0. Calculate the remainder when r(l) is divided by z.
2
Suppose 77*n - 642 = 71*n. Calculate the remainder when n is divided by 59.
48
Suppose 5*o + 6*i - 800 = i, -o = 3*i - 168. What is the remainder when o is divided by 67?
22
Suppose 0 = 5*f - 5*v, 5 = 2*f + v - 7. Suppose 12*c = 75 - 15. What is the remainder when c is divided by f?
1
Let b = -348 + 375. What is the remainder when 105 is divided by b?
24
Suppose d = -1 - 9. Let o = d + 17. Suppose -15 = -g + i, 154*g - 150*g + 3*i - 95 = 0. Calculate the remainder when g is divided by o.
6
Let u = 492 - 467. What is the remainder when 220 is divided by u?
20
Suppose 5*v + 392 = 7. Let l = v - -80. Calculate the remainder when 21 is divided by l.
0
Let m(q) = 2*q + 28. Let d be m(-13). Suppose 25 = -5*s, -d*s = -2*k - 7*s + 55. Calculate the remainder when k is divided by 21.
19
Let f = 165 - -10. What is the remainder when f is divided by 60?
55
Let a be ((-14)/(-3) - 5)*(-69 + 0). Let b = 50 - a. Calculate the remainder when b is divided by 7.
6
Let g(b) = -119*b + 630. Suppose 4*z = -z + 2*j + 329, -z - j + 70 = 0. Calculate the remainder when z is divided by g(5).
32
Suppose 3*s - 2 = 4, -2*n = -3*s. Let a(d) be the first derivative of d**2 + 4*d + 2. What is the remainder when a(3) is divided by n?
1
Let o be (0 - 1) + -28 + -6 + 2. Calculate the remainder when 41 is divided by (o/22 - 3/(-2)) + 4