hat is the remainder when 67 is divided by (y/42)/(r/(-12))?
11
Suppose 376 = 8*q + 328. Let w = 31 - 15. What is the remainder when w is divided by q?
4
What is the remainder when ((-570)/25)/(132/(-40) - -3) is divided by 13?
11
Suppose s + 161 = 5*z + 3*s, -3*z - 4*s + 105 = 0. What is the remainder when 289 is divided by z?
10
Suppose -516 = -26*w - 23*w + 6*w. Let h be 8/12*3*-1. What is the remainder when ((-9)/h)/(4/40) is divided by w?
9
Let c(g) = g**2 + 16*g + 60. What is the remainder when 46 is divided by c(-4)?
10
Let p(m) be the first derivative of -m**4/4 - 10*m**3/3 + 5*m**2 - 15*m - 5. Let g be p(-11). What is the remainder when 1/g*860/(-5) is divided by 22?
21
Suppose 3*l + 335 = -2*l + 5*m, 5*m - 25 = 0. Let q = -41 - l. Calculate the remainder when 81 is divided by q.
18
What is the remainder when (-42)/(-231) + 1208/11 is divided by 37?
36
Suppose -3*v + 80 = -5*o, -5*v + 22*o + 180 = 23*o. Let n(k) = 14*k**2 - 4*k - 1. Calculate the remainder when n(-3) is divided by v.
32
Let x be (12 - 2) + (-7 - -8). Let f = 10 + x. Suppose 11*o - 40 = 6*o. What is the remainder when f is divided by o?
5
Suppose -2*x = 6*p - p - 280, 3*p - 4*x - 142 = 0. Let w = p + -41. What is the remainder when 49 is divided by w?
10
Suppose -41*l = -33*l - 2168. Calculate the remainder when l is divided by 52.
11
Let k(z) be the third derivative of z**6/120 + 3*z**5/20 + z**4/8 + z**3/6 - 2*z**2. Suppose -9 + 41 = -4*n. What is the remainder when k(n) is divided by 14?
13
Let r(p) = -4*p + 0 + 4 + 1. Let h = 35 - 16. What is the remainder when r(-8) is divided by h?
18
Let s(w) = -w**2 - 6*w. Let x be s(-12). Let f = x + 95. What is the remainder when f is divided by 6?
5
Let d be 4 + 0/(-1 - 0). Calculate the remainder when 42/(-4)*12/(-18) is divided by ((-10)/d)/(1/(-2)).
2
Suppose 7 + 3 = -2*g. Let f be 102/10 + g/25. Let n = f - -2. What is the remainder when 45 is divided by n?
9
Suppose 2*v + 2*y = 10, -4*v - y = -2*v - 11. Suppose 11 = l - k + 2, v = 3*k. Suppose 6 = 3*d - d. What is the remainder when l is divided by d?
2
Suppose 0*a + 4*p = -5*a + 29, -9 = -a - 4*p. Suppose -a*c + 36 = -3*c. Let y = 3 + c. Calculate the remainder when y is divided by 8.
5
Let w be 2/5 - 918/45. Let l = w + 26. Let s(m) = -m**2 - 9*m - 3. What is the remainder when s(-4) is divided by l?
5
Suppose -11*v + 368 + 105 = 0. Calculate the remainder when 859 is divided by v.
42
Let c(x) = -x**2 - 7*x + 4. Suppose -u + 5*k = -11 - 0, 0 = -4*u - 2*k + 66. Suppose 2*h - u = -2*h. Calculate the remainder when c(-6) is divided by h.
2
Let x(n) = 12*n + 112. What is the remainder when x(-5) is divided by 19?
14
Let l = -10 - -19. Suppose 0 = -7*d + 45 - 24. What is the remainder when l is divided by d?
0
Let w(p) be the third derivative of -p**6/12 - p**5/30 + p**4/8 + 2*p**3/3 + 8*p**2. Calculate the remainder when w(-2) is divided by 36.
34
Suppose 16*r - 1068 - 372 = 0. Suppose -10*n + r = -0*n. Calculate the remainder when 45/2 - (-2)/4 is divided by n.
5
Suppose 24*x - 4*x - 380 = 0. What is the remainder when 151 is divided by x?
18
Let a = 200 - 179. What is the remainder when 669 is divided by a?
18
Let d(p) be the first derivative of p**2/2 - p + 2. Suppose 4*s = 7 + 13. What is the remainder when d(8) is divided by s?
2
Suppose 2 = -3*c + 4*c. Suppose -a + c*a - 74 = 0. Let j = a + -15. What is the remainder when j is divided by 20?
19
Suppose 637 = 3*d + 29*l - 27*l, -l = 2*d - 424. Calculate the remainder when d is divided by 68.
7
What is the remainder when -5*(10 + 952/(-40)) is divided by 21?
6
Suppose 3*z + 2*z = 70. What is the remainder when (-1)/20*-5 + 107/4 is divided by z?
13
Suppose 276*w - 273*w = 216. What is the remainder when w is divided by 10?
2
Suppose -14 + 4 = 5*i. Let w be ((-3)/i)/((-5)/(-10)). Suppose 0*x + 3 = q + x, w*q - 7 = -4*x. Calculate the remainder when 14 is divided by q.
4
Calculate the remainder when 33 is divided by -4 + 10 + (-4 - -10).
9
Let q(z) = z**3 + 13*z**2 - 2*z - 26. Let r be q(-13). Suppose i = 3*m + 5*i - 304, 5*i + 25 = r. Calculate the remainder when m is divided by 28.
24
Let u be -3 + 0 + -1 - -31. Suppose -2*s - 1 = -2*q - u, 0 = -4*s + 2*q + 46. What is the remainder when s is divided by 3?
1
Suppose -6*t + 620 = -2*t. Let a = t - 26. Calculate the remainder when a is divided by 26.
25
Let r = 142 + -76. Suppose w - 23 = -g, -4*w - 6*g + 5*g = -92. What is the remainder when r is divided by w?
20
Let c be 562/18 - ((-87)/(-27) + -3). Suppose c + 40 = f. Calculate the remainder when f is divided by 36.
35
Suppose -2*i + 7 + 23 = 0. Let w = 3 + 2. Suppose w*k - 22 - 8 = 0. Calculate the remainder when i is divided by k.
3
Suppose 45 = -3*c - 2*j - 0*j, 3*c + 3*j = -48. Let o = c - -23. Suppose -4*k + 3*k = -o. What is the remainder when 26 is divided by k?
6
Let r = -13 - -11. Let w = -12 - -16. Calculate the remainder when w*-1 - 102/r is divided by 25.
22
Let k = 731 - 705. What is the remainder when 112 is divided by k?
8
Suppose -2*a = -20 - 6. Suppose 0 = 2*r + 5*r - 28. What is the remainder when a is divided by r?
1
Let z = 15 + -27. Let j be (-8)/(1 + z/4). Suppose w - 15 = -j*w. Calculate the remainder when 10 is divided by w.
1
Let x = 36 - -20. Let v = 87 - x. Calculate the remainder when 60 is divided by v.
29
Let a(o) = 20*o - 24. Let c be a(10). Calculate the remainder when 204 is divided by (c/(-6) + 2)/(8/(-12)).
40
What is the remainder when 47 is divided by ((247/2)/19)/(1/2)?
8
Let f(n) = -9*n - 362. Calculate the remainder when f(-59) is divided by 58.
53
Suppose 0*p - 246 = -6*p. Calculate the remainder when 89 is divided by p.
7
Let s(a) = 2*a - 2. Let h(x) = 0 + 7*x**3 + 26*x**3 - x**3 + 1. What is the remainder when h(1) is divided by s(7)?
9
Suppose -8*i + 5*i + 15 = 0. Suppose 2*l = -5*c + 32, 4*c = -c - 4*l + 34. Suppose -i*r + c = -4*r. What is the remainder when 33 is divided by r?
3
Let s(p) = -2*p**2 - 16*p + 9. Let l(d) = d**2 + 8*d - 5. Let t(y) = -9*l(y) - 4*s(y). What is the remainder when (-7)/35 + (-772)/(-10) is divided by t(-7)?
13
Let t(v) = -v**3 + 12*v**2 - 27*v - 9. What is the remainder when 100 is divided by t(5)?
7
Let z = 2 - -4. Calculate the remainder when (-1 - -3)*(45 + -14) is divided by (z/(-2))/(1/(-7)).
20
Let i = 3 - 8. Let r be (6/(-4))/(i/(-10)). What is the remainder when 47 + (r - -2 - -1) is divided by 24?
23
Let p(v) = 5*v**2 + 7. Let q(g) = 9*g**2 - g + 14. Let i(k) = -5*p(k) + 3*q(k). Suppose -44 = 2*n - 3*n. Calculate the remainder when n is divided by i(3).
12
Let h(i) = -4*i**3 - 4*i**2 + 3*i + 7. Let x = 20 + -23. Suppose -r + 33 = -0*r + 3*m, -m = -4*r + 93. Calculate the remainder when h(x) is divided by r.
22
Let z = -35 + 98. Suppose 6*p = 3*p + z. Calculate the remainder when 102 is divided by p.
18
What is the remainder when 0 - (-4)/(-34) - (-5184)/136 is divided by 10?
8
Suppose 0 = -10*g + 4*g + 24. Calculate the remainder when ((-75)/((-25)/5))/1 is divided by g.
3
Let k = -453 - -481. What is the remainder when 293 is divided by k?
13
Let y(a) = -4 + a**2 - 2 - 2*a**2 - 8*a. Let m = -110 + 146. What is the remainder when m is divided by y(-4)?
6
Let d(b) be the second derivative of 2*b**4/3 + b**2/2 + 3*b. What is the remainder when 33 is divided by d(1)?
6
Calculate the remainder when (-4 - 28)*-3 - (0 + -2) is divided by 11.
10
What is the remainder when (6 - 5/(-5)) + 112 is divided by 5?
4
Let w = 1936 - 1809. Calculate the remainder when w is divided by 26.
23
Suppose -33 + 558 = 3*b. Suppose 5*w = -3*p + 211, -p + 123 = 3*w + 2*p. What is the remainder when b is divided by w?
43
Let d be (-258)/4*(1 + (-15)/9). Suppose 4*j = d - 3. What is the remainder when 37 is divided by j?
7
Suppose 0 = 1569*k - 1579*k + 780. What is the remainder when 543 is divided by k?
75
Suppose 5*q + 9 - 29 = 0. Suppose 5*w + 2*h - 68 = 0, -q*h = -2*w + 4 + 4. What is the remainder when ((-234)/(-156))/((-2)/(-28)) is divided by w?
9
Let d(t) = -2*t + 42. Let u(f) = 78*f + 1. What is the remainder when u(1) is divided by d(11)?
19
Let i(d) = d**2 + 3*d - 1. Suppose -4 = -3*u - 3*m + 2, -8 = -4*u + 5*m. What is the remainder when (21/63)/(u/210) is divided by i(2)?
8
Let r(o) be the second derivative of 6*o**4 - o**2/2 - 7*o. What is the r