2
Let c = -1/659190 - -55905904/65919. Let a = c - 851. What is the common denominator of a and -83/147?
1470
Suppose -163*j - 388 = -4*d - 165*j, 2*j - 100 = -d. What is the lowest common multiple of 972 and d?
7776
Let u be 11 + -8 + 18 + 1 + -2. Find the common denominator of 13/109 and ((-976)/(-183))/(u/6).
545
Suppose -213*l - 8937 = -37039 - 144215. Calculate the lowest common multiple of 8090 and l.
8090
Let l be (-3)/21 - 60/(-28). Suppose -35 = -l*f - 3*f. Suppose -72 + 16 = -f*g. Calculate the smallest common multiple of g and 6.
24
Find the common denominator of (-72618)/(-17136) - (1/(-1))/((-3)/12) and -109/102.
408
Let b be (-4)/8*62 - -1. Let y = b - -33. Suppose 4*q - 4*u = 60, -2*u + 23 = 2*q + y*u. What is the least common multiple of q and 46?
322
Let j(f) = 2*f**2 - 99*f - 235. Calculate the smallest common multiple of 30 and j(52).
150
Let q = -562291/152852 + 1/10918. Find the common denominator of q and -53/1400.
1400
Let t be (4/1)/(-1) - -25. Find the common denominator of -7/60 and t/77*(-23)/18 + 1.
660
Find the common denominator of -57/430 and 30/144*1422/(-7740).
10320
Suppose -5*m - 2*q = -2*m + 236, -5*q = -m - 90. Let p be -12*((-685)/m + 4). Let w = p - -157. Find the common denominator of w and -27/17.
68
Let g = -17 - -19. Suppose -5*s = 3*j - 4*s - 15, 2*j + s - 9 = 0. What is the least common multiple of g and j?
6
Find the common denominator of (-8748)/528 - 18/99 and 51/220.
220
Let t = 21 - 16. Suppose -4*h + 12 = -4*u, 5*h + 0*h - 45 = -u. What is the least common multiple of -6*h/(-12) - -17 and t?
105
Suppose 3*b - 520 = 2*b - 2*w, 0 = 4*b - w - 2053. Find the common denominator of b/850*1 - 20/40 and -25/6.
2550
Let b(o) = 2*o - 13. Suppose n - 4*i = 19, 2*n - i = n + 13. What is the least common multiple of b(n) and (-149 + 150)/(-1 + 118/116)?
522
Let z = -2771 + 2781. What is the least common multiple of z and 576?
2880
Let u(z) = 5*z**2 - 66*z - 128. What is the least common multiple of 1392 and u(-2)?
1392
Let f = -2/3409 - -64801/51135. Find the common denominator of -17/430 and f.
1290
Suppose 5*r = 7*y - 8*y - 457, 4*y = 5*r - 1778. Let x = 449 + y. What is the lowest common multiple of 76 and x?
76
Let s be 270996/360 + (-2)/3. Let w = s + -745. What is the common denominator of 151/(-110) + (-2)/5 and w?
110
Suppose 0 = -10*t - 8*t. Suppose -4*b + 2*n = -82, t = 2*b - 5*n + 5 - 50. What is the smallest common multiple of b and (-9)/(((-5)/(-4))/(-5))?
180
What is the lowest common multiple of (2 + -12 - 0) + 805 and 25?
3975
Suppose 37 = 3*n + 5*w, 5853*n = 5857*n + 2*w - 26. What is the smallest common multiple of n and -32*2*(-3)/8?
24
Suppose -4*v - 42 = -7*v. Let a be 36/30*(-10)/(-4)*1. Suppose 3*z + g = 46, 4*z = a*z + 3*g + 2. What is the lowest common multiple of z and v?
14
Suppose -17*o - 817 = -6716. What is the lowest common multiple of o and 2?
694
Let i(k) = -k**3 + 10*k**2 + 51*k - 78. Calculate the least common multiple of 501 and i(-9).
1002
Let a be ((-6)/12)/(1 + 214/(-212)). Suppose -a*u = -44*u - 324. What is the least common multiple of u and 12?
36
Let f = 59 - 47. Let l = -438 - -462. What is the least common multiple of f and l?
24
Let r = 192 + -146. Suppose -51*n = -r*n - 60. Calculate the smallest common multiple of n and 28.
84
Let q be 8/(-52) + (-11633)/13. Let w = -865 - q. Calculate the smallest common multiple of 60 and w.
60
Let u be (-2)/(-5) - ((-8544)/15 - -2). Let p = 590 - u. Calculate the least common multiple of 198 and p.
198
Let k = -11486854555362847/13902 + 826273525350. Let m = 112/331 + k. Let s = m - -2816/7. Calculate the common denominator of 71/20 and s.
60
Let a(p) = -10*p - 456. What is the smallest common multiple of 96 and a(-92)?
2784
Let o = -61077046/357 + 171084. Find the common denominator of 7/306 and o.
2142
Let i = 26 - 2713/102. Let r = -409/5712 + i. Calculate the common denominator of 39/77 and r.
1232
Let n = 282 - 258. Suppose n*v + 909 = 33*v. What is the lowest common multiple of 1 and v?
101
Suppose -4*v + 34 = 4*i + 10, -3*v = -3*i + 42. Calculate the lowest common multiple of 6 and ((-560)/(-100))/(4/i).
42
Suppose 31 = -7*m - 11. Let c be 2/10 - (m + 186/30). Calculate the least common multiple of (-2 - c)*13/(-2) and 8.
104
Calculate the common denominator of 1820/(-48)*-3*(-2)/80 and (2/4)/(128/(-1696)).
32
Suppose -2*f + 19 = 5. Suppose 255*t + 167 - 1046 = 1416. Suppose t*w - f*w - 18 = 0. Calculate the smallest common multiple of 30 and w.
90
Suppose -4*j - 20 = 0, -3*j - 24222 - 4271 = 2*o. Let g = o - -298934/21. Calculate the common denominator of g and ((-14)/(-27))/(((-20)/18)/(100/(-120))).
126
Find the common denominator of 580/(-225)*(-120)/48 and ((-69)/3)/(24/1).
72
Let v = -80/177 + 32591/47436. Calculate the common denominator of -24/737 and v.
2948
Let p(t) = t**3 - 16*t**2 - 2*t + 34. Let m be p(15). Let g = m - -323. Calculate the least common multiple of g and 27.
918
Let z = -2198 + 2378. What is the lowest common multiple of 1242 and z?
12420
Let w(p) = 24*p + 6. Let b be w(11). Calculate the common denominator of -12 - -6 - 392/(-72) and (177/(-4))/(b/(-36)).
90
Let s be 2/9*3/258. Let p = 18581/1935 - s. Calculate the common denominator of p and -30/11.
55
Suppose -3*k - 12 = 18. Let r = 17 + k. What is the least common multiple of ((-325)/35 - -10)*14 and r?
70
Let b(h) = -2*h**3 - 148*h**2 - 286*h + 168. Calculate the least common multiple of b(-72) and 1176.
1176
Let z = -6604/49 + 304737/2156. Let k = z + -86/11. What is the common denominator of -97/12 and k?
12
Find the common denominator of -137/280 and ((-88)/(-24) - 3)*57/245.
1960
Let s(y) = -5*y**2 - 7*y - 22. Let b(w) = 7*w**3. Let x be b(-1). Let l be s(x). Calculate the common denominator of -1*1/3 - l/(-48) and 13/19.
152
Let o = 963431/110 - 8759. What is the common denominator of 91/250 and o?
2750
Suppose 2738 + 4312 = -6*p. Let h = p + 11729/10. Calculate the common denominator of h and -133/18.
90
Let j = 19615799/496 + -39548. Find the common denominator of j and 5/16.
496
Let l be ((-3)/(-54)*-1)/((-22)/979638). Let p = 2488 - l. Find the common denominator of p and 67/81.
162
Suppose 0*a + 7 = a - i, -2*a - 6 = 2*i. Suppose -a*l - 4 = -3*l, -3*g + l + 5 = 0. Suppose g*c + c - 8 = 0. Calculate the least common multiple of 2 and c.
2
Let z = 264571781/1942675350 - -2/1850167. Calculate the common denominator of 113/250 and z.
5250
Suppose 27*s + 12 = 24*s. What is the common denominator of -38/27 and 16051/(-2730) - 4/(-104)*s?
270
Let w = 56 - 48. Let k = -61469/2442 + 2/407. Find the common denominator of k and (-41)/(-3)*(w/(-14))/(-2).
42
Suppose -5*f - 699 = -2*k, 2*f + 0 = -2. Suppose -13*v - k + 35 = 0. What is the common denominator of 91/2 and 1*(6 + -4 + 50/v)?
12
Suppose -2*s = v - 24, -916*v + 920*v + 4*s = 108. Calculate the least common multiple of 294 and v.
1470
What is the smallest common multiple of ((-8)/(-12))/((56/21)/8) and (((-21)/(-2))/(-7))/((-3)/354)?
354
Suppose -49 = -4*a - 3*a. Suppose -19*f - a = 221. Let t = 30864/767 + -524/13. Calculate the common denominator of f and t.
59
Let n be 20/40 - 74/4. Let h(y) = y**3 + 19*y**2 + 20*y + 37. What is the lowest common multiple of h(n) and 10?
10
Calculate the common denominator of -73/200 and -11 + 2 - (-29)/(105705/31239).
5400
Suppose 3*o - 56 = 358. Let q = 475/3 - o. Let m = -1859 - -46492/25. What is the common denominator of m and q?
75
What is the common denominator of 43/22 and ((-303)/2)/(3 + -25 + 16)?
44
Let f = 127971 + -21499243/168. Calculate the common denominator of -194*(1*-2)/32 and f.
168
Let y = -6089 - -6101. Let v = 20 + 77. Suppose -y*x + v = -167. What is the lowest common multiple of 18 and x?
198
Suppose 0 = -46*n + 38*n - 4*v + 76, n + 13 = 4*v. Calculate the least common multiple of n and 1542.
10794
Let d = -1625 + 1641. Let w = 9 + 0. Let g = w - 3. Calculate the lowest common multiple of g and d.
48
Let j = 2213 + -7079385/3199. Let r = -438239/38388 - j. Let d = 291457/22 - 13252. What is the common denominator of r and d?
132
Let x = -270 - -480. Suppose 57*s = 50*s + x. Calculate the least common multiple of s and 20.
60
Let h(c) = 22*c**3. Let p be h(1). Let t = -12 + p. Suppose -150 + 118 = -4*g. What is 