ltiple of 20 and q.
120
Let k = 254 + -159. Suppose -15*h = -18 - 12. Suppose -h*v + 28 = -4*r, -2*v - 5*r = 2*v - k. Calculate the least common multiple of 8 and v.
40
Let g be ((-18)/(-7))/((-24)/112). What is the common denominator of 2/(-24)*42/4 and (-952)/126 - 2/g?
72
Let f = 82/3069 - 4028842/3069. Let p = f + 1316. What is the common denominator of 26/3 and p?
33
Suppose -19*n + 67 = -161. What is the least common multiple of n and 40?
120
Suppose -5*n - 3*d = -86, -4*n + 47 = 3*d - 23. Calculate the smallest common multiple of n and 56.
112
Suppose 3*y - 17 = -2*f, -3*y + 3*f = -6*y + 21. Suppose -3*d - 4*i = -d - 8, y*d + 3*i - 18 = 0. What is the lowest common multiple of 16 and d?
16
Let h(f) = 9*f**2 - f + 3. Calculate the smallest common multiple of h(-2) and 4.
164
Suppose 0 = 2*c + 8 - 52. Suppose 5 - 2 = z, -2*n + 2*z - 82 = 0. Let j = 44 + n. What is the lowest common multiple of j and c?
66
Let x(l) = 4*l**3 - 16*l**2 + 27*l - 8. What is the smallest common multiple of x(6) and 91?
3094
Calculate the lowest common multiple of 60 and (1846/91 + (-6)/21)*2.
120
Let p = -35 - -31. Calculate the least common multiple of 30 and (60/p)/(3 - 4 - 0).
30
Let y = -7/95 + 10263/1330. What is the common denominator of y and 10/63?
126
Let a = -743 - -959. What is the lowest common multiple of 84 and a?
1512
Calculate the least common multiple of (-10)/15*(1 + (-186)/6) and 2.
20
Let b = -61883 + 36579. Let q = b - -1670003/66. Calculate the common denominator of q and 67/4.
132
Suppose 3*o - 1 = -4*s, -3*s + 4 = -31*o + 30*o. Let u(t) = t**3 - t**2 + 1. Calculate the smallest common multiple of s and u(1).
1
Let i(d) = d**2 - 3*d - 3. Let t be i(-4). Let b(q) = 31*q**2 - 5*q + 5. Let p be b(1). Let y = p - t. What is the smallest common multiple of 4 and y?
12
Let y = 15/4361 + 123469/872200. What is the common denominator of 77/90 and y?
1800
Let h = 40363/1070 - -19/107. Let s = -40 + h. Let d = 56219/12 + -4673. Find the common denominator of s and d.
60
Suppose -1116 + 156 = -60*w. Calculate the smallest common multiple of w and (-477)/(-15) - 1/(-5).
32
Suppose -5*i - 10 = -7*i. Suppose -2*z - i*l + 60 = 3*z, z = -4*l + 21. What is the smallest common multiple of z and 2?
18
What is the common denominator of 163/66 and (415/300)/((8/(-10))/(-1))?
528
Let n = 46 - 45. What is the least common multiple of n - -31*3/(6 - 3) and 6?
96
Let f = 168 - 128. Calculate the lowest common multiple of f and 40.
40
Suppose 5*y = -4*h - 101 - 455, -4*y - 412 = -5*h. Calculate the common denominator of 6/y*56*42/(-32) and 37/14.
84
Suppose 2*d = -o + 3*o, 6 = 4*o - d. Calculate the common denominator of 43/8 and ((-632)/(-1104))/(o/6).
184
Suppose 0 = -5*r - 11 + 41. Suppose 32 = r*w + 2*w. Calculate the lowest common multiple of w and 14.
28
What is the lowest common multiple of 80 and (-18)/(-4)*(1584/11)/9?
720
Let r(u) = -5*u**3 + 2*u**2 - 2*u + 1. Let o be r(1). What is the common denominator of -101/8 and (o - -6) + 197/(-36)?
72
Let v = 4 + 28. Suppose 38*l = v*l - 90. What is the common denominator of l and 49/11?
11
Let t(c) = c**2 - 5*c + 5. Calculate the smallest common multiple of 11 and t(-4).
451
Let l be 2/5*(-630)/18. Calculate the common denominator of -81/4 and ((-21)/l)/(9*4/242).
12
Suppose 5*z + 32 - 122 = 0. Suppose -5*l = -5*v - 75, l - v + 3*v = 12. Calculate the least common multiple of z and l.
126
Let w = 80/3 + -989/30. What is the common denominator of w and -69/34?
170
What is the common denominator of 35/24 and (2 + (-229)/60)/(36/(-30))?
72
Suppose -2*w - 2 = -4*w. Let f(s) = -s**3 + 5*s**2 - 4*s + 2. Let p be f(2). Suppose n = -p + 15. Calculate the least common multiple of w and n.
9
Suppose 2*r - 5*n = 29, -4*r - r - 4*n = 10. What is the smallest common multiple of 4*(2 + 15/(-10)) and r?
2
Let h = -80189/16 - -5010. What is the common denominator of 0 - (1 + (-67)/(-32)) and h?
32
Suppose x + 0 = -0. Suppose 26*g - 28*g + 16 = x. Calculate the smallest common multiple of g and 142.
568
Let b = 332 - 322. Suppose 0 = 3*o + 2 + 4, 4*p + o - 70 = 0. Calculate the least common multiple of p and b.
90
Let v = 610 + -1042. Calculate the lowest common multiple of 6 and (v/45)/(6/(-15)).
24
Let i = 3581 + -28687/8. Find the common denominator of 33/10 and i.
40
Let f(l) = 2*l**3 - 8*l**2 + 8*l - 22. Let g be f(10). Let r = 8756/7 - g. What is the common denominator of r and 14/9?
63
Suppose -2*b - 6*b = 168. Find the common denominator of -1/10 and (-31)/(-2) + (-7)/b.
30
Let r = -10 - -16. Suppose 35 = 3*t + 19*z - 24*z, 16 = 2*t + 4*z. Calculate the least common multiple of t and r.
30
Let m = -11 + 44. Suppose 4*k = 5*g + m, 2*g + 3 = 1. Calculate the lowest common multiple of k and ((-15)/5)/(-24)*-10*-4.
35
Let m = -1973 + 1167. Find the common denominator of -55/8 and m/(-40) + 14/(-35).
8
Suppose 0 = 4*b, 4*i = -7*b + 2*b + 108. Suppose -4*l + o = -64, 2*l - 3*o + 2 - 14 = 0. What is the smallest common multiple of i and l?
54
Let y = -17204 - -35041/2. Let v = -359 + y. Find the common denominator of 69/16 and v.
16
Let g(t) = t**2 + 5*t - 62. What is the lowest common multiple of 5 and g(11)?
570
Let a be 0/(-7 - -4) + 7. Let o(h) = -h**3 - 2*h**2 + 5*h - 1. Calculate the smallest common multiple of o(-4) and (-45)/(-54)*(a - 1).
55
Let y = -5393/6 + 906. Find the common denominator of 23/4 and y.
12
Let h = 8 - 5. Let j be 13985/(h/((-9)/12)). Let s = j + 3478. Find the common denominator of -61/5 and s.
20
What is the common denominator of 2725/1245 - ((-3 - -8) + -3) and 88/15?
1245
Suppose -t + 15 = 2*g + 2, 2*t - 34 = -5*g. What is the lowest common multiple of 21 and (25 - -2)*(2 + g/(-6))?
126
Let x = 3/9224 - 116465/36896. Calculate the common denominator of 139/36 and x.
288
Let w = -26 - -33. Suppose -673 = w*m - 43. Find the common denominator of (-16)/(-4) + 85/m and 77/8.
72
Calculate the common denominator of ((-2)/(-3))/(10/18) and 35/(-21) - (7574/498)/(-7).
415
What is the common denominator of 4/(-6) + 3827/(-23496) and -27/64?
704
Let o = 3445 + -27625/8. What is the common denominator of o and (-1588)/(-120) - 2 - 8/20?
24
Suppose -a = 5*f + 12, 4*a - 16 = 5*f + 11. What is the lowest common multiple of a and 27?
27
Let q(t) = -t**3 - 9*t**2 - 11*t - 15. Suppose -w = -2*n - 5*w + 10, 52 = 5*n + w. What is the lowest common multiple of q(-8) and n?
99
Let y(c) = -c**2 + 2*c - 3. Let i be y(2). Suppose 9*o - o - 16 = 0. Calculate the smallest common multiple of i/15 - (-12)/10 and o.
2
Let l = 703255/2495982 + 20/7473. Find the common denominator of 35/8 and l.
1336
Suppose -3*h + 8 = -10. Calculate the least common multiple of 14 and (2/h*16)/((-32)/(-48)).
56
Let s be (36/(-10))/(11/55). Find the common denominator of -7/22 and (-6)/s*462/8.
44
Let c = -1256 - -13801/11. Let i be (200/10)/(44/(-1646)). Let n = 752 + i. Find the common denominator of n and c.
11
Let k = -29 - -39. Let l be 303/(-6) - (-3)/6. Calculate the smallest common multiple of ((-4)/10)/(10/l) and k.
10
Let u = 207 - 129. Calculate the lowest common multiple of u and 48.
624
Suppose -3*w = 3, 0 = 5*h - 3*w + 6*w - 22. Suppose 4*v + 3*b - 5 = 0, v + 2*b - 1 = b. What is the smallest common multiple of v and 174/10 - (-3)/h?
18
Let w = -416 - -462. What is the least common multiple of 46 and w?
46
Let w(g) = -7*g**3 - 8*g**2 + g - 16. Let q be w(-6). Let v = 13234/11 - q. What is the common denominator of v and 56/5?
55
Let a = 1029 + -12301/12. What is the common denominator of ((-2)/(-4))/(113/(-791)) and a?
12
Let u = 0 + 6. Suppose -4*q + 66 = -r, 0 = -2*r + r - 2*q - 60. Let o = r - -65. Calculate the lowest common multiple of u and o.
6
Let r(k) = 32*k - 90. Calculate the least common multiple of 12 and r(3).
12
Let m = 33286 - 3395047/102. What is the common denominator of m and -63/136?
408
Suppose 4*l + s - 76 = 623, 2*l = 3*s + 367. Calculate the lowest common multiple of l and 32.
352
Suppose 0 = -3*z - 5*u + 755, 3*z + 9*u = 11*u + 748. Calculate the lowest common multiple of z and 10.
250
Suppose u - 5*t = 391, t + 2507 - 1038 = 4*u. Calculate the smallest common multiple of 27 and u.
3294
Suppose 12019 = t + 30904. Let y = t + 1057601/56. Calculate the common denominator of y and -11/20.
280
Let a be 