. Let w = 1959/740 + 9597473/2220. Let f = -4349 + w. What is the common denominator of f and k?
48
Let l(t) = t**3 - 7*t**2 + 7*t - 11. Let m be l(9). What is the common denominator of 79/12 and (1 + m/54)*42/56?
36
Let n = 411 + -142. What is the smallest common multiple of n and 10?
2690
Let y be (-6 + 6)/(1 + 0). Find the common denominator of ((-1)/(-2))/(3/81) and 10*((-19)/12 - y).
6
Suppose g = -u - 4*u - 15, u + 31 = -g. Let m = -1721/9 - 2309/18. Let n = -276 - m. What is the common denominator of g and n?
2
Suppose 699 = 32*i - 709. What is the least common multiple of 248 and i?
2728
Let t(m) be the third derivative of -m**6/120 + 7*m**5/60 - 4*m**3/3 + 2*m**2. Let h be t(7). What is the common denominator of 22/9 and 136/(-45) - h/36?
45
Calculate the common denominator of 109/90 and ((-552)/(-110) - (-10)/(-6)) + -3.
990
Let s be -3 + (-7 - 1) - 4. Let v = 23 + s. Suppose 5*t - 3*t = 4. Calculate the lowest common multiple of v and t.
8
Let r = 4/3999 + -12480/38657. What is the common denominator of -70/33 and r?
957
Let z be (-1)/1 + 10 + -15. Find the common denominator of ((-38)/3)/((-1 + 2)*z) and -37/9.
9
Let d = 99693 - 13159631/132. Calculate the common denominator of d and -39/22.
132
Find the common denominator of 3/368 and -2 + (-364)/(-24) + 6.
1104
Let w = -63 + 151. Calculate the least common multiple of w and 16.
176
Let v(m) = -m**2 + m + 6. Suppose n - r = -1, 0 = -3*r + 3. Calculate the lowest common multiple of v(n) and (3 + (1 - 3))*14.
42
Find the common denominator of -73/18 and (-115)/189*(-16)/((-576)/(-42)).
162
Calculate the lowest common multiple of 12 and ((-388)/(-6))/((-17)/(612/(-24))).
1164
Suppose 39*g + 1827 = 68*g. Calculate the least common multiple of 119 and g.
1071
Let f(u) = -u**2 + u + 2. Let c be (-32)/(-10) + (-3)/15. Let b be f(c). Calculate the lowest common multiple of 16 and (10/6)/(b/(-48)).
80
Let f be 155/(-10)*7214/43530. Let a = f - -3/1451. Calculate the common denominator of -13/8 and a.
120
Let k = -48 - -62. Let l = k - 9. Calculate the lowest common multiple of l and 1.
5
What is the least common multiple of 21 and (-7 - -5)/((-5)/30)?
84
Suppose 4*h = 4*n + 5*h + 139, h = -2*n - 67. Find the common denominator of 83/10 and (2 - n/(-20))/(-1).
10
What is the common denominator of 67/92 and (-2)/(-14) + (447225/1890)/(-67)?
828
Let p(w) = -8*w**3 - 2*w**2 + 8*w + 6. Let q be p(-6). Let b be -2 + (-73344)/45 - 1/(-5). Let m = b + q. Calculate the common denominator of -37/3 and m.
3
Suppose 0 = -y + 4*y - 153. Suppose y = 11*q - 103. Calculate the lowest common multiple of q and 8.
56
Find the common denominator of 75/8 and 3/(-1) - 12/(-5).
40
Let s = -896/17 - -5131/68. Calculate the common denominator of s and 7*1*(-18)/(-6).
4
Let v = 11613 - 255555/22. Let a = 80 - 200. Find the common denominator of v and (-1101)/a - 2/(-10).
88
Let a = 2345 + -7106/3. Find the common denominator of a and ((-4)/(-60))/(23/(-1449)).
15
Let o(g) = -g - 2. Let n be o(-4). Suppose -3*t - n*t + 135 = 0. Let j = 1859/15 + -713/6. Find the common denominator of j and t.
10
Let y = 26818823/315 - 85139. What is the common denominator of y and 17/225?
1575
Let u = 32127 + -68853/2. Let n = 2256 + u. What is the common denominator of n and 51/8?
8
Let u be (-100)/140 + 4/(-14). What is the lowest common multiple of 7 + 3 - (-1 - u) and 120?
120
Let y be (0 + 1)*(1 + 1). Let n = 62 + -62. Suppose n = 2*c + y*q - 15 - 7, -4*c = -3*q - 9. Calculate the least common multiple of 22 and c.
66
Find the common denominator of (-34)/20*(-483)/(-4278) and 18/11.
6820
Let j(c) = -5*c - 36. Let i be j(-12). Find the common denominator of 62/(-104)*i/(-9) and 139/6.
78
Suppose 0*k = -2*j + 3*k + 31, 3*k + 39 = 3*j. Let u = 46 - j. What is the lowest common multiple of u and 2?
38
Suppose -j = -3123 - 2584. Let l = -57181/10 + j. What is the common denominator of -85/14 and l?
70
Let j = -68 + 131. Let g = j + -195/4. Calculate the common denominator of g and 1 + -2 - 8/9.
36
Let m = 111 - 87. What is the smallest common multiple of 80 and m?
240
Let l(s) = -7*s**2 - s. Let y(b) = 13*b**2 + 3*b + 1. Let a(h) = -5*l(h) - 3*y(h). Find the common denominator of a(-2) and (-8)/6*(-27)/(-24).
2
Calculate the common denominator of -39/98 and (-40)/70*(-132)/(-1200).
2450
Let d = -464741/198 + 21080/9. Let m = -400 - -3933/10. Calculate the common denominator of d and m.
110
Find the common denominator of 96/306*-5 + 2 + 0 and -89/18.
306
Suppose b = -x + 3, -x - 3*b - 21 = -3*x. Suppose 4*a - 16 = -0*a. Suppose -q + a*q = x. Calculate the least common multiple of 18 and q.
18
Suppose x + 4*q - 24 = 0, -23*q = -2*x - 26*q + 68. Calculate the least common multiple of 52 and x.
520
Let d = -72 + 48. Let f be (-48)/(-218)*(-90)/d. Let z = -10781/1308 + f. What is the common denominator of z and 5/16?
48
Suppose 99*b = 90*b + 504. What is the lowest common multiple of b and 40?
280
Let f = 3/45615937529 + 3438392521664503/22183486579727990. Let k = f + -2/4421. Calculate the common denominator of k and 69/2.
110
Suppose -f - 2*a - 9 - 3 = 0, -4*a - 16 = f. What is the common denominator of ((-27)/(-15))/(f*(-3)/(-165)) and -137/6?
24
What is the common denominator of 1 + -4 + -12*5/(-90) and (53/(-18) - -3)*131?
18
Let b = -35599 + 5233073/147. Calculate the common denominator of b and 10.
147
Let f be (3 + (-5)/10)*310. Let n = -6155/8 + f. Calculate the common denominator of 83/24 and n.
24
Let r = 1/3983 - 366481/179235. What is the common denominator of 15/60*(1 - (-258)/(-10)) and r?
45
Let t(u) = u - 8. Let r be t(10). Let g be -6 - -5 - (-2 + r). Calculate the least common multiple of 2 and ((-6)/(-9))/(g/(-9)).
6
Calculate the smallest common multiple of 352 and 161*2 + (-66)/33.
3520
Let z(o) = -4*o + 122. Calculate the smallest common multiple of z(30) and 3.
6
Suppose -4*d + 10 = 2*x, 0*x = -5*d + 3*x + 18. Let h = d + -2. Let z(m) = 8*m**2 - 9*m. What is the least common multiple of z(2) and h?
14
Let j = 500/13 + -9817/286. Let l = 15027/7 + -600303/280. What is the common denominator of j and l?
440
Let n = 6 - 2. Suppose -r = -4*h + 4*r + 166, -5*h - n*r + 228 = 0. Suppose 7*j - h = 3*j. Calculate the lowest common multiple of 3 and j.
33
Suppose 2*q - 5*q = -66. Let x(i) = -i**2 - 15*i - 38. Let y = 22 + -31. What is the smallest common multiple of x(y) and q?
176
Let g = 12 + -11. Let m(i) = -5*i - g + 6 - 3. What is the lowest common multiple of 6 and m(-4)?
66
Suppose -2*h + 43 = o, -3*o = -4 - 11. Let q(y) = y**2 - 6*y + 5. Let u be q(4). Let v = h - u. What is the lowest common multiple of v and 22?
22
Let z = 25189/55 + -458. Find the common denominator of -67/20 and z.
220
Let q(f) = -19*f + 278. What is the smallest common multiple of q(14) and 4?
12
What is the common denominator of 40/49 and (73/1606)/(0 + 2/128)?
539
Let i = 8711 + -339791/39. What is the common denominator of 28/9 and i?
117
Let n = -11 - -11. Suppose 10 = 2*u - n. Suppose u*k = -15, 4*j + 2*k + 2*k - 12 = 0. Calculate the lowest common multiple of j and 14.
42
Calculate the lowest common multiple of 1/2 + 300/40 and 2.
8
Calculate the smallest common multiple of 10 and 192 + 1 - 21*(-6)/18.
200
Let r = -464 - -474. What is the lowest common multiple of r and 35?
70
Let s be ((-5)/((-10)/24))/2. Suppose -s = -u - 3, -4*u = 4*h - 28. Let d(m) = 4*m - 20. Calculate the least common multiple of d(6) and h.
4
Suppose 0 = -2*d - 5*d - 350. Let m be (78/65)/((-3)/d). Suppose -5*y - 38 = -4*l - 11, -m = -4*y. What is the smallest common multiple of 9 and l?
117
Let b(l) = 8*l**3 - 3*l**2 - l. Suppose -7*w = -4*w - 9. Let p be b(w). What is the common denominator of (-4)/(-20) + p/220 and 1/16?
176
Suppose -5*i = -5*c - 145, 0 = -3*i + 5*c + 13 + 84. What is the smallest common multiple of i and (3 - 54/10)*-5?
24
Let m(v) = v**2 + 36*v + 344. Calculate the smallest common multiple of 70 and m(-19).
210
Suppose 5*b - 23 - 6 = -2*u, u = 5*b - 8. Suppose u*q - 3*q = 32. What is the least common multiple of 7 and q?
56
Suppose 27 = 2*d - 107. Suppose -8*n + d = -189. Calculate the lowest common multiple of n and 12.
96
Suppose 0 = 4*m - 0*m - 32. Suppose 0 = -67*g + 176 + 494. What is the least common multiple of m and g?
40
Suppose 