 What is the remainder when ((-8)/(-12))/(4/w) is divided by 24?
23
Let o(j) = j - 7. Suppose -2*h - 4*h = 42. Let m be o(h). What is the remainder when (-1022)/(-18) + m/(-63) is divided by 15?
12
Let y(q) = -q**3 - q**2 + 5*q + 6. Suppose 0 = 10*v + 8*v + 72. What is the remainder when 129 is divided by y(v)?
27
Suppose 2*p - 2*o = 120 - 6, -5*p + o + 281 = 0. What is the remainder when 167 is divided by p?
55
Let x(d) = -d + 5*d + d**2 + 0 - 8 + 0*d. What is the remainder when 51 is divided by x(-7)?
12
Let d(c) = 14*c - 86. Suppose -13 + 4 = 3*z. Let v(g) = -7*g. Calculate the remainder when d(12) is divided by v(z).
19
Let f = 36 + 74. What is the remainder when f is divided by (-4)/6 + (-172)/(-6)?
26
Let j(i) = -i**2 - 51. Let z be j(0). Let t = -34 - z. Calculate the remainder when 47 is divided by t.
13
Suppose 3*k + 4*z + 0*z = 21, 4*z - 9 = k. Suppose -2*s + t - 14 = -k*s, 3*s - 3*t - 42 = 0. Calculate the remainder when 69 is divided by s.
13
Suppose 3*l - g = 122, -37 = -2*l + l + 4*g. Calculate the remainder when 1 + 2 - (8 - l) is divided by (-92)/(-7) - 5/35.
10
Suppose -4*t - 7040 = -4*b, -3*b = -t + 3*t - 5290. Calculate the remainder when b is divided by 14.
12
Let a(i) = i**2 + i - 71. What is the remainder when a(16) is divided by 60?
21
Suppose 175*n + 224 = 179*n. Calculate the remainder when 162 is divided by n.
50
Let a(g) = -g**3 - 9*g**2 + 10*g + 8. Suppose 0*w - 92 = -5*w + i, -i = 5*w - 88. Let n = w - 13. What is the remainder when a(-10) is divided by n?
3
Let z(p) = 5 + 2 - 1 - p + 1. Let l be z(7). Suppose 4*k + 2*u - 64 = l, 4*k + u - 64 = 2*u. Calculate the remainder when 46 is divided by k.
14
Suppose -5*a + 94 = -36. Let r = -40 + 42. What is the remainder when (50/30)/(r/90) is divided by a?
23
Let o(i) = 2*i**2 - 3*i + 1. Let c be o(2). Let z(k) = k**2 - 6*k - 3. What is the remainder when (c/2)/(6/280) is divided by z(9)?
22
Suppose -2*f + 11 = l, -2*l = 2*l + 3*f - 29. Let p = 20 - 47. Calculate the remainder when p/36 - (-39)/4 is divided by l.
4
Let t = -16 - -11. Let j = t - -34. Calculate the remainder when 84 is divided by j.
26
Suppose 0 = -r - 71 - 13. Let y = r - -143. Let s = 401 - 381. What is the remainder when y is divided by s?
19
Suppose -4*v + 2*y + 338 = -v, -5*v + 558 = -2*y. Calculate the remainder when 32 is divided by 20/v - (-119)/11.
10
Suppose -2*t + 190 = 5*o, 2*o - 5*t = -o + 145. What is the remainder when 339 is divided by o?
19
Let p be (-1)/((-6)/87*6/24). Suppose -3*w = -w - p. Calculate the remainder when w is divided by 6.
5
Suppose -k - 3*v = 0, 3*k + 2*v - 9 + 2 = 0. Suppose 31 + 24 = 3*t + 5*s, -3*s = -k*t + 87. Let f = t + 45. What is the remainder when f is divided by 24?
22
Suppose 0 = 2*r - 166 - 18. Let t = r + -71. Calculate the remainder when 104 is divided by t.
20
Suppose 235 = 3*v + 19. Calculate the remainder when 9 is divided by 52/v*3 + 2/(-12).
1
Calculate the remainder when 101/(-4)*(-8 - -4) is divided by (6/(-10))/((-23)/1265) + 1.
33
Let p = 961 - 844. What is the remainder when p is divided by 8?
5
Let g = 43 - -20. Suppose 4*s - g - 49 = 0. What is the remainder when s is divided by 2/6 - 145/(-15)?
8
Suppose 4*l = 4*q + 408, 7*q - 5*q = 4*l - 398. Calculate the remainder when l is divided by 56.
41
Suppose -5*r + 23 = 3. Suppose -4*m - 4*v = 8, -v = -3*m + m + 8. Suppose m*s = 7 - 1. What is the remainder when r is divided by s?
1
Suppose 0 = 2*i - 21 - 5. Let z(w) = w**2 - 9*w + 12. What is the remainder when i is divided by z(8)?
1
Let i(w) be the third derivative of w**5/60 - 7*w**4/24 + 2*w**3 + 9*w**2. What is the remainder when 21 is divided by i(6)?
3
Let y(q) = q**2 - 22*q + 105. What is the remainder when 118 is divided by y(17)?
18
Let j be (2 - 3)/((-5)/(-10)). Let p(g) = -7*g - 1. Calculate the remainder when 24 is divided by p(j).
11
Let z(r) = 3*r**2 + 15*r - 13. Let a be z(-6). Suppose -2*s - j + 89 = 0, a*j - 34 = -s + 15. Calculate the remainder when s is divided by 9.
8
Let m = 29 - 18. Suppose -6*d = -m*d + 20. Calculate the remainder when 5 is divided by d.
1
Let x = 329 + -278. What is the remainder when x is divided by 14?
9
Let v = -7 + 7. Suppose 4*c + v*c - 424 = 0. Let m = 288 - 261. Calculate the remainder when c is divided by m.
25
Let w(f) = f**3 - f**2 + 3*f**2 + f + 11 + 16 - 28. Let k be ((-6)/(-9))/(3/9). What is the remainder when 31 is divided by w(k)?
14
Let r = 133 - 55. Calculate the remainder when 465 is divided by r.
75
Let d = 18 - 18. Suppose m = 2*l + 28, 2*m + 2*m + 4*l - 52 = d. Calculate the remainder when 88 is divided by m.
16
Let c = 123 - 261. Calculate the remainder when ((-8)/24)/(1/c) is divided by 12.
10
Suppose 54 = -5*x - 4*a + 298, -93 = -2*x + 3*a. Calculate the remainder when x is divided by 3.
0
Let a = 6 - 3. Let b(l) = 2*l**2 - 14*l - 8. Let i(r) = -r**2 + 8*r - 8. Let t be i(4). What is the remainder when b(t) is divided by a?
2
Let t = -42 - -44. Suppose -305 = t*y - 7*y. What is the remainder when y is divided by (12 - -1) + 4 + -1?
13
Suppose -2*z + 5*w + 49 = 0, 5*z + 4*w - 6*w - 112 = 0. Let a(s) = -13 + z*s + 6 + 0. What is the remainder when a(4) is divided by 21?
18
Suppose -11*s + 8*s + 343 = -l, -113 = -s + l. What is the remainder when s is divided by 48?
19
Calculate the remainder when 146 is divided by (22/4 + -10)*136/(-12).
44
Let i(f) be the first derivative of f**3/3 - 4*f**2 - 22*f - 6. Calculate the remainder when 40 is divided by i(11).
7
Suppose -g = -m - 68, -3*g = 2*m - 89 - 110. Suppose -3*y + 23 = -2*y. What is the remainder when g is divided by y?
21
Suppose 10*m - 416 + 16 = 0. What is the remainder when m is divided by 15?
10
Let r(a) = -a**2 + 16*a + 36. Let i(v) = v**2 - 15*v - 37. Let u(q) = -6*i(q) - 7*r(q). Calculate the remainder when u(25) is divided by (1/2)/((-2)/(-48)).
9
Suppose 145 = -8*w + 3*w. Let n = -19 - w. What is the remainder when 34 is divided by n?
4
Let v(r) = 2*r + 15. Let x be 3/15 + (-26)/(-10)*-2. Calculate the remainder when 23 is divided by v(x).
3
Let d = 8 + 0. Suppose -4*w + w - 25 = 2*v, -3*w - 20 = v. Let n = v + 36. Calculate the remainder when n is divided by d.
7
Suppose 4*i + p = 5*p + 8, -4 = -4*p. Let y = 11 - i. Suppose 2*w - y = 12. What is the remainder when w is divided by 6?
4
Suppose 0 = 24*w - 2800 + 352. Calculate the remainder when 1936 is divided by w.
100
Suppose 121 = 8*s - 487. Let v = s - 50. Calculate the remainder when 154 is divided by v.
24
Let j be ((-4)/(-3) + 0)/((-3)/(-9)). Calculate the remainder when -1 - (-50 - 0) - (j + -1) is divided by 16.
14
Let y = -33 - -33. Suppose y = -u + 18 + 11. What is the remainder when 86 is divided by u?
28
Let s = 69 - 46. Let r = s - 0. Calculate the remainder when 113 is divided by r.
21
Suppose -2*x - 3*v = 2*v - 157, x = -4*v + 83. Calculate the remainder when 204 is divided by x.
62
Suppose -4*u + 35 = 2*p + 3*p, u = 4*p + 14. What is the remainder when 43 is divided by u?
3
Let g(x) be the second derivative of -x**4/12 + 2*x**3 - 3*x**2 - 19*x. What is the remainder when g(6) is divided by 12?
6
Let w(k) = 2*k**3 + 12*k**2 - 6*k - 21. Calculate the remainder when 232 is divided by w(-5).
55
Suppose 24825 = 177*l + 9426. Let k = 42 + -15. Calculate the remainder when l is divided by k.
6
Suppose -4*i - 2*y - 146 = 0, i + 2*y + 32 = -0*y. Let u = -27 - i. What is the remainder when 43 is divided by u?
10
Suppose c - 69 = -c - w, c + 3*w = 22. Calculate the remainder when 138 is divided by c.
27
Let w = -132 - -136. Suppose w*x = 4*p - 48, -2*p = -3*p + 5*x + 12. Calculate the remainder when 69 is divided by p.
9
Let v = 107 - -62. Calculate the remainder when v is divided by 4.
1
Let l(n) = -3*n**2 + 2*n. Let c be l(2). Let o = 0 - -1. Calculate the remainder when (-6)/(c/((-4)/(-1))) is divided by o.
0
Let r(q) = -2*q**3 + 31*q**2 - 12*q + 54. What is the remainder when r(15) is divided by 9?
0
Suppose -5*a + 769 - 399 = 0. Let r be 38/2 + 2/(-2). Calculate the remainder when a is divided by r + -1 + 3 + -1.
17
Suppose 1404*v - 1420*v = -160. What is the remainder when 546 is divided by v?
6
Let d(i) = -i**2 - 13*i - 20. Let f be d(-13). What is the remainder when 76 is divided by 0 - 8/(((-8)/f)/(-1))?
16
Let i(r) = -4*r + 5 + 8*r + 6*r - 4*r. Let f(u)