2?
36480
Let y be 5 + -5 + (-3 - (-5197820)/387408). Let z = -2/8071 + y. Find the common denominator of z and 28.
12
Let z = 32 + -25. Suppose z*b = 2*b + 4410. Calculate the common denominator of -11/4 and 2/(-11) - b/110.
20
Suppose -4*k + 127 + 113 = 0. Suppose 29807 = -39*a + 31211. Calculate the smallest common multiple of k and a.
180
Let b = 1/659 + -46797/5272. Calculate the common denominator of -9/428 and b.
856
Find the common denominator of -29/260 and 40/(2213120/20919) - 3/7.
2080
Suppose -30*s - 17*s = -4047 - 1123. Calculate the lowest common multiple of s and 20.
220
Let d be ((-3)/1*-14)/(-2). Let u(y) = y**2 + 20*y - 15. Calculate the least common multiple of u(d) and 18.
18
Let v(q) = q**3 + 4*q**2 - 14*q - 27. Let n be v(-5). Find the common denominator of 71/153 and ((-8)/n)/((-98)/1519).
153
Suppose 12 = -84*w + 81*w. Let f(k) = 2*k**2 + 12*k + 64. What is the smallest common multiple of f(w) and 32?
96
Suppose -29*m + 30*m + 4*h - 24 = 0, 4 = 2*h. Calculate the lowest common multiple of 60 and m.
240
Suppose 0 = 3*g + b - 705, -2480 = -26*g - 3*b + 3664. Let o(t) = -t**3 + 7*t**2 - t - 6. What is the least common multiple of g and o(6)?
1896
Suppose 1 = 3*h - 2*h, -n - 4*h - 48 = 0. Let g = 55 + n. Let d(m) = 4*m - 7. What is the lowest common multiple of d(g) and 15?
15
Suppose 365*d - 744 = 272*d. What is the least common multiple of 2269 and d?
18152
Suppose 0 = 19*t - 21579 - 1734. What is the least common multiple of 12 and t?
4908
Let f(h) = -h + 11. Let y be f(13). Let r be (-16)/8 + y/2. Calculate the smallest common multiple of 2*(-2 + 0 - r) and 1.
2
Let n = -11 + 16. Suppose n*p - 59 = -3*o - 7, -4*p = -2*o - 2. Suppose j - 3*g = 7 + 3, 0 = 5*j - g - 22. What is the lowest common multiple of j and o?
36
What is the common denominator of 2/2 - (608190/(-10384))/(-57) and -25/472?
472
Let b(d) = -201*d + 49. Calculate the smallest common multiple of b(-1) and 25.
250
Suppose 5*g - 3 = -v + 4, 0 = -3*g. Suppose 3*z - 5*k - 8 = 81, 108 = 4*z + 4*k. What is the smallest common multiple of 8/z + v/((-196)/(-48)) and 8?
8
Suppose -9*a + 17*a - 14 = a. Calculate the smallest common multiple of a and 43.
86
Let w = 282026408166 + -957479647295511/3395. Let f = w + -31637/194. Let v = f - 11631/5. Calculate the common denominator of v and 89/130.
910
Let r(l) = -8*l**3 + 63*l**2 + 10*l + 17. Let g be 11 - 2/(-3 + (-66)/(-18)). Calculate the lowest common multiple of r(g) and (-31 - (-4)/(-2))*-1.
33
Let c be 16/36*81/(-18). Calculate the common denominator of (((-2)/c)/36)/(3/834) and (12/72)/(6/196).
18
Suppose 3*j - 19 = -2*x, 0 = -2*x + 3*j - 0 + 1. Find the common denominator of -61/10 and 4/x + (-9429)/630.
30
Let w(u) = u**3 + u + 66. Let f be w(0). Let v = 868/3 - 6707/24. What is the common denominator of v and 3 + ((-1057)/f - 4/(-22))?
24
Let u be (4/10)/((-2)/5). Let l = 4 - 2. Calculate the least common multiple of (5 - u) + -1 + -2 + 3 and l.
6
Let l(g) = -96*g - 2000. Calculate the smallest common multiple of 1240 and l(-21).
2480
Suppose 3*m = -5*p + 198, 4*m = 4*p + 20 - 204. Let c = -12 - p. What is the least common multiple of (c/(-8))/((-9)/(-24)) and 80?
720
What is the common denominator of 39/4 and (-88)/5628*(-234)/(-120)?
9380
Calculate the lowest common multiple of 52/(-12) + (-49959)/(-189) and 364.
1820
Let b = 43 + -39. Let x(n) = n**2 - 3*n - 2. Calculate the smallest common multiple of x(b) and (-15 + -1 - -4)*(-16)/6.
32
Let q = -56417/2162 + 597/23. Calculate the common denominator of -46/47 and q.
94
Calculate the common denominator of 9 + (5/1224)/(112/(-109095)) - 5 and 7/187.
71808
Let i = 8 - 7. Suppose 4*d - 3 - i = 0. Let s(t) = t + 2. Calculate the least common multiple of 21 and s(d).
21
Suppose 2 = 35*l - 34*l. Let s be l*(4 + -3)/(-1). Calculate the common denominator of s - (-34)/4 - (-1)/(-3) and -48/13.
78
Suppose 2*f - 27 = l, -4*l - 3 = -4*f + 3*f. Find the common denominator of f*(6/21 + (-138)/189) and -1/37.
111
Let k be ((-21)/(-6) + -2)*2. Suppose k*i - 4*u + 2680 = -3195, -u + 1960 = -i. What is the common denominator of ((-2)/30)/(6/i) and 55/48?
48
Let r be (38 + -14)/(2/(-41)). Let z = r + 504. What is the least common multiple of 12 and z?
12
Let p be (2/(-2322))/(-4 - (-126)/27). Let n = -9868/387 + p. What is the common denominator of n and 85/116?
116
Let j = -923/530 + 34/53. Let k(x) = x**2 + 13*x - 10. Let y be k(-10). Calculate the common denominator of j and y/112*(-62)/(-30).
210
Let k(v) = v**3 + 8*v**2 - v - 4. Suppose -3*w - 40 = 2*w. Let u be k(w). Calculate the common denominator of ((-45)/2)/9 - (u - 1) and -91/12.
12
Let t = -31421/10 - -3141. What is the common denominator of t and -83/2?
10
Suppose -287*o - 190*o = -57717. Suppose 45 + 10 = h. What is the lowest common multiple of o and h?
605
Let f = 1423660 - 8506777/6. Let a(l) = 8*l - 5884. Let h be a(0). Let o = f + h. Find the common denominator of 91/2 and o.
6
Let v = 133 + -118. Suppose 12 = -4*s, l + v*s = 12*s + 3. Calculate the least common multiple of l and 11.
132
Let s = -18 + 89. Let h = s + -83. What is the least common multiple of 9 and 75/27 - 0 - h/54?
9
Let h = -477790/63 + 7584. Find the common denominator of h and 1/1188.
8316
Let u = 67521 + -67109. Let k = 4 + 4. What is the smallest common multiple of u and k?
824
Suppose 4*r + 433 - 153 = 0. Calculate the common denominator of 19/30 and 1318/(-120) + 42/r.
60
Suppose -3*w + 2*a = -148, -8*w + a = -3*a - 400. What is the lowest common multiple of 160 and w?
2080
Let g be (14/28)/(2/(-8)). What is the common denominator of -1 + (-9)/(-42)*8 and (133/(-20) - g)*-2?
70
Suppose 55*r - 28272 = 17*r. What is the smallest common multiple of r and 24?
744
Let m be (-14 - -8)/(9/6). What is the common denominator of (2 - (-73)/(-15))/5 and (m/50)/(60/(-450))?
75
Let q = -259 + 269. Let u(a) = -11*a + 115. What is the smallest common multiple of 5 and u(q)?
5
Let f(a) = 2*a**2 - 4*a + 4. Let c be f(2). Suppose 0 = -10*p + 9*p + c. Find the common denominator of -119/12 and 242/48 - p/1.
24
Let w be (-16)/40 - (-9761)/6. Suppose 0 = 2*x - 2*i - 3244, 0*i + 3235 = 2*x - 5*i. Let s = x - w. Find the common denominator of s and -19/12.
60
Let f = -69751845/2056 - -33926. Find the common denominator of f and -31/3855.
30840
Suppose -4*q + 1724 = 3*r, 4*q - 4*r - 1752 = -0*r. Let i = q - 426. What is the lowest common multiple of i and 22?
88
Let f(d) = -2*d**2 - 16*d - 14. Let u be f(-7). Calculate the common denominator of 77/8 and (-15)/12*(u + 618/(-1170)).
312
Let d = 351550603/18 + -19521285. Let s be ((-4648)/(-10) - 0)*-20. Let q = d + s. What is the common denominator of 27/4 and q?
36
Calculate the common denominator of (-6)/(-5) - 10703/9190 and -97/14.
12866
Let d be (-14)/98 - 12/14. Suppose 5*v - 45 = -5*y, 4*y - 5*v - 60 = -15. Calculate the smallest common multiple of 20 and 1 - d - y*-1.
60
Suppose 0 = -4*v - 7*b + 11*b + 196, 3*b = -3*v + 165. What is the least common multiple of 7 - (2/4)/((-7)/56) and v?
572
Let y(z) = 173*z**3 - 6*z + 7. Let v = -236 + 237. What is the smallest common multiple of y(v) and (3 - 6)/3*-10?
870
Let n = -91687/20 - -4583. Let d = 276251/660 + -6304/15. Find the common denominator of n and d.
220
Let l = -1894307/42 + 1112416/21. Let w = l - 7876. What is the common denominator of w and 21/(84/14*10/(-3))?
140
Let p = 3 - -12. Let w be -2 - (-4 + -3 + 1 - -1). Suppose 4*l + 2*f + 3*f - 43 = 0, -w*f = 3. What is the lowest common multiple of p and l?
60
Let i = -42 + 56. Suppose i*n = 19*n - 20105. Let x = n + -44266/11. Calculate the common denominator of 15/11 and x.
11
Let c = 99371/1940024 + -37/2248. Let w = -2716442783 + 23442901271959/8630. Let a = w - c. Calculate the common denominator of a and -44.
10
Let n = 19501/5520 + -167/69. Calculate the common denominator of n and -73/8.
80
Let n = 138017005/65817 - 215353/103. Let w = n - 44/71. Find the common denominator of (428/180*6)/((-108)/15) and w.
54
Suppose 0 = 2*k - 0 - 10. Suppose t = 1, -4*n - 1 = -k*t - 76. Let f(i) = 3*i**2 - 24*i - 11. Calculate the lowest common multiple of f(9) and n.
80
Let j = -15/599 - 64003/3594. Find the common denominator of j and 23/472.
1416
Let j = 4367/14 - 1855/6. Calculate the common