g be (0 - (-3)/z)*(-657381640)/(-48). Let k = g + -182604. What is the common denominator of k and 31/12?
180
Suppose 3*a - 35 = -5*q - a, 0 = -q - a + 6. Suppose q*f = 10*f + 14. Calculate the least common multiple of 38 and 38/133 - 4*(-76)/f.
418
Let r = 10 + 12. Suppose 124*g - 5642 = -1178. Calculate the least common multiple of r and g.
396
Let o = -10 - -15. Calculate the lowest common multiple of 8*((-30)/21 + (-189)/(-98)) and o.
20
Let y be (-424)/(-10) + 18/(-45). Suppose 0 = 3*g + 3*b - y, -2*g + 28 = b + 4*b. Suppose -81 = g*c - 17*c. Calculate the lowest common multiple of c and 12.
108
Suppose 4*g + 22 = 18. Let m = -215 - -1069/5. Calculate the common denominator of 1/g + ((-49)/(-6) - 2) and m.
30
Let r be 3 - 6/8*(-783 + 7). Let n = 595 - r. Calculate the least common multiple of n and 12.
60
Let b(c) = -2*c + 10. Let u be b(4). Suppose d - 68 = u*d. What is the lowest common multiple of d/(-8) + (-4)/8 and 18?
72
What is the least common multiple of (-16)/(-64)*328 - -6 and 396?
792
Let c = 531 + -153. Find the common denominator of ((-19)/(-60))/(84/c) and -4/5.
40
Suppose 620 = -5*l + 645. Suppose 10 = l*v, -2*r + 31 - 5 = -4*v. Let s = 7 + -2. Calculate the lowest common multiple of s and r.
85
What is the common denominator of 5419/(-770) - (-3)/9*(-6 - -27) and 71/616?
3080
Suppose 7*g - 10*g - 258 = 0. Let n = -8897 + 62264/7. Find the common denominator of n and 4/(-4) + g/18.
63
Let t be ((-4)/10)/(3492/(-870) - -4). Let f = t - -7. Calculate the least common multiple of 16 and f.
144
Let g = -139 + 674. Let o = g - 533. Suppose 0*c + 76 = 2*c. Calculate the lowest common multiple of c and o.
38
Let r(a) = a**2 + 2*a - 81. Let i be r(9). Find the common denominator of (-1)/(-32)*(16932/i)/17 and 1/(-12)*298/(-3).
144
Suppose 0 = -4*y + 50 + 6. Suppose -427*d = -430*d + 3*u + 39, d + 4*u = 58. What is the lowest common multiple of y and d?
154
Let f(s) = 280*s**3 - 2*s**2 + 2*s - 1. Suppose 0 = -2*j + 4*o + 42, 217*o - 215*o = 5*j - 49. Calculate the smallest common multiple of f(1) and j.
1953
What is the common denominator of 39/58 and ((-450)/20 - -24) + 322/(-160)?
2320
Suppose -2 - 12 = 2*a. Calculate the least common multiple of 56 and (-60)/9*(a/2 - -2).
280
Let t = -1/3323 + -235929/13292. Suppose -3*x = 3*z + 18, x = 5*z + 5*x + 28. Find the common denominator of t and ((-6)/z)/(480/(-354) - -1).
28
Let u(n) = 2*n**2 - 2*n - 2. Let a(d) = -d**2 + 12*d + 1. Let r be a(8). Suppose -4*o + 23 = -r. Calculate the lowest common multiple of u(3) and o.
70
Let z be (2/(-3))/(18/(-16551)). Let h = -11033/18 + z. Calculate the common denominator of 13/24 and h.
72
Let p(b) = -b**2 + 16*b - 29. Let o be p(13). What is the lowest common multiple of 21 and 2522/o + (84/(-20) - -4)?
252
Suppose 1584 = -39*q + 83*q. Calculate the lowest common multiple of 16 and q.
144
Let p = -17125 + 17299. What is the smallest common multiple of 52 and p?
4524
Let v = 12/767 + 37511/4602. Find the common denominator of 67/245 and v.
1470
Let p = 49 - 34. What is the common denominator of p/4*39/70 and (-5)/5 - (-1 - (-45)/200)?
280
Let n = 25608 + -6760409/264. Find the common denominator of -115/308 and n.
1848
Suppose 1653*r = 1724*r - 16330. What is the lowest common multiple of r and 250?
5750
Let a(m) = m**2 - 2*m - 16. Let u = 52 - 37. Calculate the lowest common multiple of a(6) and u.
120
Let i = -148237/22 + 6742. Calculate the common denominator of 165/1368 - (-2)/(-12) and i.
1672
Let a = 18647 + -12718. What is the least common multiple of a and 21?
17787
Find the common denominator of 465/198 + ((-8)/6)/(-4) and ((-1)/348)/((-27)/(-8370)).
1914
Suppose -7756 = -172*a + 5613 - 3909. Calculate the least common multiple of a and 3520.
3520
Suppose 6*v = 5028 - 4056. Suppose -d = -2*t + 5*t - 9, 0 = -3*d - 4*t + 42. What is the lowest common multiple of d and v?
162
Let k = -77 - -135. Suppose 0 = -w - 5*t + 1, 2*w + k = 5*t. What is the smallest common multiple of (-8)/(-1) + (w - -16) and 10?
10
Let h be (88/3 - 2)*-6 + 2. Let r = -84 - h. Find the common denominator of 5/4 and -2*(-3)/r*8*-4.
52
Suppose 0 = 2*c + 2*c - 2*g - 102, -12 = 4*g. Let m = c + -23. Suppose 24*v - 19*v - 25 = 0. What is the lowest common multiple of v and m?
5
Calculate the common denominator of (((-893)/(-228))/(-47))/(-1 - (-236)/270) and -61/306.
612
Let m = 23 + 1. Let o be -2*m/(-30)*5*1. Calculate the lowest common multiple of (-2 - (-138)/o) + (-15)/(-20) and 12.
48
Let g = -10/35861 - -3623521/5594316. What is the common denominator of g and 61/26?
156
Let d be -4 + 16624/(-12) + -1. Let l = d + 1404. What is the common denominator of (3/36*-202)/(2/6) and l?
6
Let x = 71806/15 - 4790. Suppose 4*g - 4261 = 3*p - 882, 4*p - 2*g + 4522 = 0. Let t = -3346/3 - p. Calculate the common denominator of t and x.
15
Let h = -172706 + 46976127/272. Calculate the common denominator of h and -133/340.
1360
Suppose 4*z + 87 = -5*o, -z + 14 = -o + 2. What is the lowest common multiple of 40 and 10/o*(2 + 22)/(-2)?
40
Let z = 667 + -572. Calculate the common denominator of (z + 2 + 3 + -3)/188 and 69/16.
752
Let y(s) = 4*s - 70. Let m be y(18). Suppose -13 + 41 = m*d + 3*l, -4*d + 2*l = -56. Calculate the least common multiple of ((-2)/4)/(3/(-72)) and d.
84
Let y = 573123/98 + -5848. Find the common denominator of y and -89/350.
2450
Calculate the common denominator of 103/22 and ((-16)/18372)/((-696)/3654).
33682
Let k be -1*(-9 - (-2 + -1)) - -2. Suppose k*q = 20*q - 1596. What is the lowest common multiple of (14/(-3))/(q/21 + -7) and 3?
21
Suppose -3*y - 6 = 0, -2*y = -2*q + 9*y - 992. Suppose 3*d - 6*d - 6 = -4*i, 0 = 5*d + i - 13. What is the smallest common multiple of 16 and 4 - q/21 - d/14?
112
Let w = 388/79 - 700182/142595. What is the common denominator of w and -24?
1805
What is the common denominator of -17/42 and ((-54)/20412)/((-2)/(-146))?
378
Let k(h) = -h**3 + 14*h**2 + h - 181. Let b(j) be the third derivative of -7*j**6/120 - j**2. Calculate the lowest common multiple of k(13) and b(-1).
7
Let k be 75694/(-12) - 5*8/10. Let o = 6297 + k. What is the common denominator of 41/46 and o?
138
Suppose 0 = -5*b + 2*j + 30318, -160*b + 164*b - 24288 = -4*j. What is the smallest common multiple of b and 20?
60660
Suppose -58*u = -60*u + 10. Suppose -93 + 113 = u*m. What is the lowest common multiple of m and 36?
36
Suppose 0 = 2*d - 81 + 315. Let j be (-18)/d + (-518)/(-13). What is the common denominator of 69/2 and -5*(0 - 35/j)?
8
Let o = -67351/1614150 + -4/5275. Find the common denominator of o and 89/1020.
3060
Let v = 368419/3 + -170946671/1392. Suppose -27*w - 14*w - 203 = 84. Find the common denominator of w and v.
464
Let a(h) = 4*h**2 - h - 1. Let v be a(1). Let w be v/(-5)*(-55)/1. Let j = w + -12. What is the lowest common multiple of j and 1?
10
Let l = 1776 - 1775. Let a = -13 + 18. What is the lowest common multiple of a and l?
5
Suppose 2*n - 5*i = 16, -i + 10 = -5*n + 27. Suppose 3*z + 2*v = 213, -n*z + 3*v = v - 201. Let o = z + -49. Calculate the least common multiple of o and 4.
20
Let u = -449 - -431. What is the common denominator of 403/33 - u/(-33) and ((-142)/10)/((-10)/25)?
6
Suppose -25*l + 57057 - 56907 = 0. Calculate the least common multiple of l and 1699.
10194
Let q = 2238919/88 + -25442. Calculate the common denominator of -12/29 and q.
2552
Suppose 2*q - 606 = -s, 4*s - 15*q - 2385 = -10*q. Calculate the least common multiple of 50 and s.
600
Let i(l) = 6*l**3 - 2*l - 1. Let o be i(-1). Let v = o + 7. Calculate the least common multiple of 3/(-15) + 7656/580 and v.
26
Let j be 1/(-1) + 9009/(-105). Let d = 987/10 + j. What is the common denominator of -1 + -1 + 93/4 and d?
20
Find the common denominator of ((-21788)/(-456))/(-13) - -4 and (-54)/(-40)*(-47 + 53).
570
Let u(k) = -3*k**3 - k**2 + 20*k - 47. Let l be u(6). Let f = l + 638. What is the smallest common multiple of f and 4?
108
Let j(o) = 2*o**2 + 14*o - 45. Let r be j(-12). Suppose 5*g = -4*w + 161, -w + 3*g + r = w. Calculate the common denominator of 16/5 and w/4 + (2 - 6).
20
What is the common denominator of 11/91 and 68/(-364)*87/29?
91
What is the lowest common multiple of 69880/55*44/8 and 22?
76868
Let a = -1578 - -1601. Calculate the low