 3.
6
Let b = 4240984498/2145 + -1977149. Find the common denominator of b and -76/165.
2145
Suppose -167*g - 55*g = 24*g - 2460. Let d = 229 + -121. Suppose 169 = 3*c + 4*m, 3*c + d = 4*m + 293. What is the lowest common multiple of g and c?
590
Let y = -16466461/744 + 595062/31. Let t = y + 2943. Let p = -581 + 5210/9. What is the common denominator of p and t?
72
Let r = -35 - -33. Let k be r/((-2)/1)*-1. Let c = k - -23. Calculate the least common multiple of c and 16.
176
Let i = -210268451/4130 - -356388/7. Find the common denominator of -127/60 and i.
3540
Calculate the common denominator of 8/(-120)*(21/168 + (-1373)/24) and -29/132.
396
Suppose 0 = -4*h + 4*c + 292, 3*c = -h - c + 58. Let w = -106 - -260. What is the lowest common multiple of w and h?
770
Let a = 18/125 + 5427/1375. Let l be 0 - 6*(-1985)/10. Let i = 8375/7 - l. Find the common denominator of a and i.
77
Let g = -894 + 550. What is the common denominator of -91/60 and (2 + g/60)*(-6)/(-4)?
60
Suppose -9*c = -c + 176. Let w = c + 20. Let b = 32 - w. Calculate the least common multiple of b and 8.
136
Let q = -37 - -61. Suppose 24 - 4 = 2*h - 4*y, 2*y + 74 = 5*h. Suppose 468 = h*a - 3*a. Calculate the smallest common multiple of a and q.
72
Let n = 43/114 + 47/228. Find the common denominator of n and ((-77)/114*-2)/1.
228
Let s(b) be the third derivative of -23*b**4/24 - 13*b**3/2 - 82*b**2. What is the smallest common multiple of s(-2) and 5?
35
Let d be 4 + 7 + -1 + 1. Suppose 5*g - d*g = -192. Calculate the smallest common multiple of g and 2.
32
What is the lowest common multiple of 12 and ((-470)/6)/((-12)/108)?
2820
Let r = 12403/60 + -1231/6. Let p = 28/95 - -211/380. Find the common denominator of p and r.
20
Suppose 7*a = 22*a - 1695. Let m = -111 + a. Find the common denominator of 19/48 and 2 - 0 - ((-390)/(-96) + m).
48
Suppose -55048 = -4*h - 2*v, -4*h + 27492 = -2*h - 3*v. Calculate the lowest common multiple of h and 21.
96306
Suppose 2*v = -5*d + 4412, 0 = 4*v - 26 + 2. Calculate the lowest common multiple of 11 and d.
880
Let x be 3552/56 + (3/(-7) - -1). Let j be (-6)/21 - 95/35. Calculate the common denominator of (j + (-4)/(x/116))/4 and 5/11.
176
Calculate the common denominator of 156/(-36) + 5 - (-146)/(-165) and 8/52 - 3356/(-832).
880
Calculate the common denominator of (-6)/9 + ((-11)/(-2) - -1) and 43/306.
306
Suppose k - 4*b = 0, -49*b + 22 = 2*k - 46*b. Calculate the smallest common multiple of 0/(-2) - (-24 - -20) and k.
8
Suppose 5*p = -4*w + 4941, 2540*w + 2*p + 3723 = 2543*w. What is the smallest common multiple of 21 and w?
1239
Suppose 0 = -v + 2*l - 4, 4*v + 30*l - 4 = 33*l. Let a = 77155/2 - 4976534/129. Find the common denominator of (-2)/(-25) - v*3918/(-1600) and a.
1032
Calculate the smallest common multiple of (64/16 - (-30)/(-4))*(-1512)/441 and 42.
84
Let w be -2*4/24 - 22/6. Let t(v) = -v**3 - 3*v**2 + 3*v. Let n be t(w). Suppose -n*p + 97 = 49. Calculate the smallest common multiple of 24 and p.
24
Let m = -82448/285911 - 8903891247637/48604870. Let v = m + 183189. What is the common denominator of v and (-1)/2 - 2/8?
340
Let a(t) = -131*t - 103. Calculate the lowest common multiple of a(-3) and 696.
3480
Suppose 3889*o - 3907*o + 12888 = 0. Calculate the least common multiple of 2 and o.
716
Let t = -5 + 5. Suppose t = 15*v - 17*v - 4. What is the common denominator of -32 and 2/18 + v/6?
9
Let l = 251267 - 2030733/8. Let f = -2562 - l. Calculate the common denominator of -19/142 and f.
568
Calculate the lowest common multiple of 30 and ((-546)/(-28))/((-4)/(-168)).
8190
Let k = 11 - -12. Let n = 28 - k. Suppose 2*d = n*d - 60. Calculate the least common multiple of 22 and d.
220
Let l = -420784459/2640 - -159388. Calculate the common denominator of 28/9 and l.
7920
Let u(z) be the third derivative of z**5/6 - z**4/8 - z**3 - z**2. Suppose -308*i - 824 + 107 = -101. Calculate the least common multiple of 5 and u(i).
40
Let t = 31 - 33. Suppose 3*q - 4*w - 1207 = 285, 5*q - 2456 = -w. Calculate the least common multiple of (0 - -1)/t*q/(-6) and 1.
41
Suppose -8*h - 200 + 2712 = 0. Let b = h + -313. Calculate the lowest common multiple of 6 and b.
6
Let k be (25/10)/(1/(-6)). Let w = 16 + k. Find the common denominator of 12/17 and (9 + w)*(-9)/12.
34
Let d = 86 - -171. Let q = -239 + d. Suppose 3*f = -2*u + 2*f - 1, 4*u = 3*f + 23. What is the least common multiple of q and u?
18
Suppose 2164 = 8*m + 4*l, 2*m + 7*l - 5*l = 542. What is the lowest common multiple of 225 and m?
1350
Suppose -3*w - 5*l + 634 = 0, -2*w - l + 490 - 79 = 0. What is the lowest common multiple of w and 5?
1015
Let x be (-2)/8 + (4 - 6/8). Let q be -6*x/6*-3. Suppose 41 + q = -2*s. Calculate the common denominator of s and -19/16.
16
Let q be (2042/(-66))/(2/1299). Let a = 46722 + -66821. Let n = q - a. Calculate the common denominator of n and 5/8.
88
Let m(w) = 4*w**2 - 21*w - 5. Let x be m(-6). Calculate the common denominator of 47/9 and (-5)/x*402/18.
477
Let l = -5063/740 - -144/37. What is the common denominator of l and 30/(-4)*(111/9 - 6)?
20
Let q be (93/(-62) - (-273)/10)*45. Calculate the lowest common multiple of q/(-86)*2/(-3)*1 and 34.
306
Suppose -3*u - 12 = 0, 44 = -4*i - 2*u + 6*u. Let k be -1*(-132)/9*-6. Find the common denominator of (22/i)/(k/(-605)) and -3/20.
60
Suppose 108*r - 4*z = 112*r - 5036, 3*r - 3*z = 3813. Calculate the lowest common multiple of 506 and r.
2530
Suppose -97326*d = -97335*d + 90. What is the least common multiple of d and (0 - 1)/(2/(-16))?
40
Let s = 23 - 20. Suppose -i = s, -i - 180 = -5*t + 4*i. What is the lowest common multiple of 66 and t?
66
Let f = 6973 - 5968. Calculate the lowest common multiple of f and 2345.
7035
Calculate the common denominator of 51/638 and (-18694)/572 + 4/22.
638
Suppose -430 = -16*u + 21*u. What is the common denominator of (u*2/192)/((-2)/(-3)) and 47?
32
Find the common denominator of ((-39)/7)/(25/10 + -1) and 5/((-630)/(-92))*42/56.
42
Suppose 0 = -5*u - 0*u + 15. Let h = 9802 - 9797. What is the lowest common multiple of u and h?
15
Let i = -788289/412318 + 1/12127. What is the common denominator of 0 - (-3)/30*30/4 and i?
68
Let i(x) = x - 4. Let d be i(0). Let r(u) = u**3 + 5*u**2 + u - 3. Let a(z) = -19451*z + 97258. What is the smallest common multiple of r(d) and a(5)?
9
Let w(l) = 16*l**2 - 189*l - 4. Suppose b + 45 = 6*b. Let f = b + 7. Calculate the smallest common multiple of w(12) and f.
32
Suppose -11*u + 88 = -7*u. What is the smallest common multiple of 8 and 2408/308 - (-4)/u?
8
Suppose -23*l = -654 + 194. Calculate the least common multiple of 4430 and l.
8860
Let i be 2/11 - 1520/(-110) - 1. Suppose -i = 5*j - 5*q - 88, j - 19 = -3*q. What is the smallest common multiple of 42 and j?
336
Let p = 507227/120 - 4227. Find the common denominator of -13/9 and p.
360
Let x(n) = -n**3 + 10*n**2 + n - 128. What is the lowest common multiple of x(7) and 364?
364
Let v(j) be the third derivative of -7*j**4/24 + 157*j**3/6 - 172*j**2 - 2*j. What is the smallest common multiple of (-53)/(-3) + 2/6 and v(19)?
72
Suppose 2*p = 36*p - 918. What is the common denominator of (13 - 7) + (-122)/p and ((-31)/5)/((-36)/(-15))?
108
Let r = 20986/17 + -1234. Find the common denominator of r and -29/85.
85
Let s = 2240 + -100739/45. Calculate the common denominator of -18/25 and s.
225
Let s(y) = -2*y**2 - 2*y**2 + y**3 - 5*y**2 - 5 + 8*y + 3*y**2. Suppose 2*b - 4 = 4*u, 0 = -4*u + 5*u - 4. What is the smallest common multiple of s(5) and b?
10
Suppose 10 = 4*a + 5*o - 29, 3 = o. Let n(q) = -q**3 + 15*q**2 + 17*q + 4. Let d be (-6)/12*-22 - (1 + -6). What is the lowest common multiple of n(d) and a?
60
Suppose -3*s - 3*a - a = -10795, 7*a = 3*s - 10751. Let p = 57419/16 - s. Let v = -112577/16926 - -10/1209. What is the common denominator of p and v?
112
Suppose -126*s + 244512 = -78*s. Calculate the lowest common multiple of s and 1415.
25470
Let u = 225364/51585 + -1/2715. Let s = -2977/190 + u. Find the common denominator of 5 + -1 + (-57)/(-10) and s.
10
What is the smallest common multiple of 88 and (9317/(-3025) - 2/(-25)) + 110?
9416
Let c = -1611020/63 - -25571. What is the common denominator of 125/54 and c?
378
Suppose 0 = 3*f - 0*f - 24. Let j = f + 8. Sup