Let x(c) = 4*c - 8. Let f be x(-6). Let z = -171/8 + 763/40. Find the common denominator of -4 + -10*(-20)/f and z.
20
What is the lowest common multiple of (-4 + 52/20)/(2/(-10)) and 5?
35
Suppose -n - 4*p = -27, 5 = 3*n - 5*p - 8. Suppose -m - 27 + 35 = 0. Calculate the smallest common multiple of m and n.
88
Suppose 0 = -2*z - 4508 - 4528. Let a = 17975/4 + z. Calculate the common denominator of a and (1560/960)/(0 + -1).
8
Let p(a) = 9*a**2 + 3*a - 3. Let g be p(6). Let r be g/1260 - 4/10. Let y = r + 667/42. Calculate the common denominator of y and -24.
4
Let b(u) = -3*u + 10. Let p be b(-17). Let n = -41 + p. Calculate the lowest common multiple of 14 and n.
140
Find the common denominator of (4 - 85/(-20)) + 1/(-3) and 43/6.
12
What is the least common multiple of -4 + 19 + (-1 - 3) + 1 and 477?
1908
Let n be ((-428)/6)/(6/(-9)). Suppose -3*r + n = 17. Let t = -6221/10 + 623. Find the common denominator of r and t.
10
Let j = -11 + 14. Suppose 0 = -o - f + 8371, 5*f + 25089 = j*o - 0*o. Let x = 100313/12 - o. What is the common denominator of x and 71/8?
24
Let a = 11 - 8. Let l(g) = -g**3 - 9*g**2 - 8*g + 4. Let s be l(-8). Suppose -s*r - 6 = -22. Calculate the smallest common multiple of r and a.
12
Suppose h - 4*r - 46 = 0, 4*h + 80 = 6*h - 5*r. Calculate the least common multiple of h and 55.
330
Let u = -2 - -3. What is the smallest common multiple of (-13)/((-234)/(-27) - 9) and u?
39
Suppose 5*k + 29*q - 27*q = 1601, 0 = 3*k + 2*q - 959. Calculate the smallest common multiple of 6 and k.
642
Let h(x) = x**3 + 9*x**2 - 25*x + 48. Calculate the least common multiple of h(-8) and 12.
312
Let t = 86 + -245/3. Let u = -8188 - -8236. Calculate the common denominator of u and t.
3
Let l = 63 - 54. Calculate the lowest common multiple of 3 and l.
9
Let d be (-9)/6*96/(-9). Suppose -11*a + d*a = 10. Calculate the least common multiple of 1 and a.
2
Suppose -14 = 4*q - 6. Suppose 0*s - s = 215. Calculate the common denominator of (q/40)/((-2)/s) and -32/7.
56
What is the common denominator of (-6)/99 - (-11222)/(-28644) and 95/18?
126
Calculate the common denominator of 47/12 and -4 + 3 + ((-329)/(-98) - -3).
84
Let v(h) = -h**3 + 12*h**2 - 30*h - 7. Let r(d) = 11*d. What is the smallest common multiple of r(3) and v(8)?
99
Let l = 981/322 - 1/92. Find the common denominator of (2/(-4))/((-4)/41) and l.
56
Let n = 247/20 + -403/36. Find the common denominator of n and 41/12.
180
Suppose 0 = -5*r - 14*r + 1026. Calculate the lowest common multiple of 6 and r.
54
Let c be 1557748/160 + 2/(-4). Let y = c - 19467/2. Calculate the common denominator of 53/56 and y.
280
Let v be 4*(-1 - (-2)/(24/(-1503))). Let a = 30 + -299/10. What is the common denominator of -4 - v/50*1 and a?
10
Let t be ((-36)/24)/((-1)/2). Suppose -5*z - t*m + 36 = 0, z + 3*m - 9 = -z. What is the least common multiple of 11 and z?
99
Let f = 42603/71176 + -129/248. Find the common denominator of -43/14 and f.
574
Let f(d) = d**2 - 9*d + 24. Let x be f(7). Let v = 19 - x. What is the least common multiple of 9 and v?
9
Let d = -1859/10 + 187. Find the common denominator of 7/50 and d.
50
Let k(q) = q**2 + 8*q - 16. Let o be k(-8). Let y = o - -18. Calculate the lowest common multiple of y and 12.
12
Suppose 2*i + 17 = -2*i - x, -3*x - 11 = 4*i. Calculate the lowest common multiple of 20 and 2/((i/2 + 2)/(-2)).
40
Suppose 26 + 4 = -5*x - 5*y, 5*y = -x - 22. Let c = 3 + 9. Let u = c + x. Calculate the smallest common multiple of u and 6.
30
Suppose 0 = 2*j, -2*j - 3*j = 3*g - 297. Calculate the least common multiple of g and 3.
99
Let d(s) = 10*s - 43. Let j be d(5). Suppose -112 = -i - j*i. Let p(l) = l**3 - 6*l**2 + l + 4. What is the lowest common multiple of p(6) and i?
70
Let y = 459 + -443. Calculate the smallest common multiple of y and 6.
48
Let u = 870985/4 + -216243. Let i = -1514 + u. Calculate the common denominator of -2 - 2/(48/(-142)) and i.
12
What is the common denominator of 2/11 - -9*9/297 and -7/4?
44
Let w = 1277/15 + -229/3. Find the common denominator of 24/65 and w.
65
Let j = -87 + 151. Calculate the lowest common multiple of j and 80.
320
Let b(t) = -t + 50. Let z be b(0). Calculate the common denominator of 2*(-1)/(-22)*-38 and (19/(-5))/((-16)/z).
88
What is the smallest common multiple of (-26 - -27)*20*3 and 48?
240
What is the smallest common multiple of 4/(0 - 2/(-2)) and 6/(2*5/30)?
36
Suppose 4*v + 2 = -5*r, v = -0*r - 3*r + 3. Let p be (-4)/2 - (-7 + 1). What is the smallest common multiple of 6 and (v*7)/((-6)/p)?
42
Let i = -13732369/4883475 - 123/10925. Let f = i - 3/298. Calculate the common denominator of f and 1/4.
12
Let y(t) = t**3 + 5*t**2 + 4*t - 1. Let b be y(-7). Let k = 169 + b. What is the least common multiple of 4 and k?
84
Suppose -7*u + 15 = -6*u. Let d = 35 - 27. Calculate the smallest common multiple of u and d.
120
Let x(y) = 3*y**3 - 74*y**2 + 55*y - 90. Let w(q) = -q**3 + 25*q**2 - 18*q + 30. Let b(r) = 11*w(r) + 4*x(r). What is the least common multiple of 16 and b(20)?
80
What is the common denominator of (-90)/(-24)*((-110)/30 - (-3)/2) and 43/(-2) + (-2)/6?
24
Let r(d) = d**3 - 9*d**2 + 10*d - 6. Let k be r(8). Let s = k + -5. Suppose 6 + 4 = s*z. Calculate the least common multiple of z and 12.
12
Calculate the common denominator of (-397)/72 + (-2)/(-16) and 55/18.
18
Suppose -4*q + k - 5 = -4, -3*q + k = 2. Calculate the smallest common multiple of (2 - 80/12)/(q/(-3)) and 3.
42
Let w = 1523/3 - 16690/33. What is the common denominator of 14/(-11)*(3 + -1) and w?
11
Let y be (1/2)/(3 + (-155)/52). Suppose -4*l + 2*j + 0*j = -20, -y = -2*l + 5*j. Calculate the lowest common multiple of 15 and l.
15
Suppose 2*a = 2*f - 40, 5*f - 41 = -4*a + 32. What is the least common multiple of 2 and f?
34
Let b(i) = i - 5. Let k be b(11). Let z = 37 + -23. Calculate the least common multiple of 1 and z/k*3 - 4.
3
Suppose 0 = 2*v + 2*f - 3*f - 64, -5*v - 5*f = -130. Let w = 4 - v. Let g = -13/146 + 5235/584. What is the common denominator of w and g?
8
Let z = -14769/2072 + 3/1036. Let d = -6153/436 - 15/109. Calculate the common denominator of d and z.
8
What is the smallest common multiple of (-18)/(-8)*8/3 and 23 - (1 + (4 - 4)/(-1))?
66
Suppose 4*y - 19 = 3*l, 2*y - 4*y - 2*l = -20. Let x = -9791 - -9833. Calculate the lowest common multiple of x and y.
42
Let f = 2329/30 + -244/3. Let q be 15696/(-88) - 0/(-2). Let j = -39053/220 - q. What is the common denominator of j and f?
20
Let u = -14084729/688 - -20472. Let q = 5367/3440 - u. Let c = -653/60 - -62/15. Calculate the common denominator of q and c.
20
Let h(f) = -f**2 - 9*f - 17. Suppose 12*o - 7*o = 30. Calculate the least common multiple of h(-4) and o.
6
Let m = 29 - 20. Let f(o) = 2*o - 2. Let r be f(m). Suppose 0*t + r = t. Calculate the smallest common multiple of t and 16.
16
Let w = 429 + -156. What is the lowest common multiple of 15 and w?
1365
Let s = 24 - 12. Let n(j) = 3*j**2 - 33*j + 11. Let p be n(6). Let g = p + 99. What is the lowest common multiple of g and s?
60
Let p = -12029/2748 - 9/229. Calculate the common denominator of p and 7/40.
120
Let g(o) = o**3 - 4*o**2 + o - 4. Let l be g(3). Calculate the common denominator of (-37)/(-9) + 8/12 and l/(-15) + (-614)/12.
18
Let r = -22 - -27. What is the smallest common multiple of 5 and r?
5
Calculate the least common multiple of 10 and ((-8)/(-60)*18)/(4/30).
90
Let l be (-12)/(2 + 2) + 26. Suppose -5*f + l = -7. Suppose f*r = 3*r + 48. What is the least common multiple of r and 5?
80
Let f = -100423/4 - -25621. Let r = f - 506. Find the common denominator of r and (-12)/8*(-74)/12.
4
Let c(n) = n**3 - 19*n**2 + 41*n - 56. Calculate the lowest common multiple of 126 and c(17).
126
Let d = 212 + -183. Calculate the least common multiple of 2 and d.
58
Let n = -71 + 39. Let k = 34/363 - 9391/18876. Find the common denominator of 35/12 + -4*(-8)/n and k.
156
Let w(v) = -104*v + 734. Let a = -9 + 20. Calculate the smallest common multiple of w(7) and a.
66
What is the common denominator of 35/20*(4 - -1) and (-36)/(-10)*60/8?
4
Suppose -3*t = 4*t - 21. Suppose -4*z + 2*p = 38, t = -z - 5*p - 1. Calculate the common denominator of 10/(-66) + 2/(-3) and z.
11
Let d(c) = c**3 - 3*c**2 - 3*c + 4. Let s