9/562. Calculate the common denominator of -43/18 and b.
5058
Suppose x + 2 = 3. Suppose 5*o - 3757 = 4*g - 3734, -g + 2*o = 11. What is the least common multiple of g and x?
3
Let n(k) = 148*k**3 + 13*k**2 - 15*k - 16. What is the lowest common multiple of n(2) and 935?
13090
Let m = -38958 + 5648934/145. Let u = m - -8461/2320. What is the common denominator of u and 55/24?
48
Let k be (-6)/4*70/42*-2. Suppose 3*w - k*l + 3 = 0, 4*w + l - 5*l = 4. Calculate the least common multiple of 14 + w/12*0 + 1 and 30.
30
Suppose 8 = 4*w, m = -0*m + w - 140. Let r = -86 - m. Suppose 3*k - r = a, -4*a + 44 = 10*k - 8*k. What is the least common multiple of k and 27?
54
Let f = -6403 - -2412. Let i = f - -223479/56. Find the common denominator of 41/8 and i.
56
Let f = -44/3645 + 6973/7290. Let k = 20344 - 3417761/168. What is the common denominator of f and k?
504
Suppose -1916*z + 1920*z - 9514 = -5*i, 0 = -3*i + 4*z + 5702. What is the smallest common multiple of 18 and i?
5706
Let d = -103/110 - 577/770. Let x = 268375288763/34070700 - 2103/454276. Let k = x + -23624/3. Calculate the common denominator of d and k.
350
Let r be ((-10)/(-38072))/(-1)*(-573584)/32. Let x = r + 4/14277. Find the common denominator of x and -14/11.
264
Let j = -219/20 - -21/5. Let r = j - -3/2. Find the common denominator of 57/188 and r.
188
Let c(i) = -180*i**2 + 14*i - 64. Let b be c(-15). Let u = b - -1712657/42. Find the common denominator of u and 111/10.
210
Let p = 79/22485 - -932371/18347760. Find the common denominator of -107/2176 and p.
19584
Let p be (4/(-8))/(1 + (-415)/410). Suppose -4 = -p*h + 39*h. What is the least common multiple of h and 10?
10
Let q(z) = z**2 - 8*z - 29. Let s be q(11). Suppose 5*l - 3*o = 445, s*l - o - 331 - 32 = 0. Let j = l - 89. Calculate the smallest common multiple of j and 19.
57
Suppose -170*g = -299*g + 17286. What is the least common multiple of g and 6?
402
Let z be (-26)/(-3) - (-5)/(135/(-18)). Suppose -5*a - 3*k = -14, 0 = -2*a - 12*k + z*k + 14. What is the smallest common multiple of 121 and a?
121
Let v(t) = -t**2 + 11*t + 37. Let w be v(13). Suppose h - w = 4. Suppose 0 = -l + 18 + h. What is the smallest common multiple of 21 and l?
231
Let s be 36/27 - (-49)/(-3). Let h(y) = -4*y**2 - 60*y + 10. Let f(p) = 7*p**2 + 5*p - 2. What is the lowest common multiple of h(s) and f(-5)?
740
What is the common denominator of 11/20 and (-95)/475 + (-2)/(-40) + (-3)/(-1)?
20
Let r = -185 + 180. What is the common denominator of ((-76)/(-18))/(24/(-9)) and ((-1)/(-4))/((375/110)/r)?
60
Let l be ((-2 + 5)/3)/(-1) - -41. Let g be (-11)/(132/l)*-3. Suppose -4*v + 38 = g. What is the least common multiple of 6 and v?
42
Let g = -265 - -253. Calculate the common denominator of 49/40*(-8)/224*g and 103/20.
40
Let q = 7061 - 6437. What is the lowest common multiple of 56 and q?
4368
Let i = 126053/16 - 7882. Let o be (-1)/(-2)*(-7972)/(-6). Let b = o - 640. Calculate the common denominator of b and i.
48
Let p = 30/37 - 122/333. Suppose 0*y - 3*y = -2*u + 84, -4*y + 8 = 0. What is the common denominator of 70/u*30/8 and p?
18
Find the common denominator of ((-195533)/6006)/13 - 9/(-21) and 83/398.
13134
Let w = -99093/56 + 1769. What is the common denominator of 31/1428 and w?
2856
Suppose -1181*v + 1167*v + 252 = 0. Let o be (-4)/2*90/(-12). Let r = 23 - o. What is the smallest common multiple of r and v?
72
Let p = -1275245/14423121 + 3/21953. Calculate the common denominator of p and 38/803.
7227
Calculate the common denominator of -19/42 and 2/(-48)*7442/(-122).
168
Suppose -14*d = -99*d + 160310. What is the least common multiple of d and 4?
3772
Let h(s) = 5*s**2 - 44*s - 10. Let g be h(9). Find the common denominator of (-845)/(-78) + -12 - (g + -2) and (-34 + -4)/((-3)/(-2)).
6
Suppose -4*c + 8*g = 11*g - 106, 0 = -c - 4*g + 33. Calculate the least common multiple of 1080 and c.
5400
Suppose 0 = 2*n + n - 96. Let s be n/7 - (-21)/49. What is the least common multiple of 8 and (-2)/s*(-3)/(-6)*-10?
8
What is the smallest common multiple of 1395/12 - 2/8 and 22 - 76/(-95)*-20?
348
Suppose 0 = 4*m + 3*m + 539. Let b = -74 - m. What is the smallest common multiple of b and 33?
33
What is the smallest common multiple of 40 and 7*1 - (-2 - -95)/31?
40
Let m = -183927/4 + 47051. Let k = -1061 + m. Calculate the common denominator of 5/9 and k.
36
Let t = 160 + -91. What is the lowest common multiple of (24/(-26))/(129/(-1677)) and t?
276
Let u = 27 + -24. Suppose 2*r = -3*j - 0*r + 2944, -4*j = -u*r - 3897. What is the common denominator of -49/6 and 4*-1 + j/36?
6
Let f(s) = s**3 + 5*s**2 - 15*s - 47. Let g be f(-6). Suppose 6*n - 31 = -g. Calculate the least common multiple of 9 and n.
36
Let f(v) = -15*v + 245. Let n be f(-24). Let q = n - 527. What is the smallest common multiple of 39 and q?
78
Let u = 54586 + -4366997/80. Find the common denominator of u and -37/64.
320
Suppose 5*p - 12 = -4*y, 3*y - 15 = -2*y + 3*p. Let s be y/3 - 62 - -1. Find the common denominator of (s/(-14) - 8/28) + 37 and 27/10.
10
Let r = -35106 + 2316925/66. What is the common denominator of r and 0 + 93/90 + -3?
330
Let v(q) = -5*q - 95. Let l(x) = -30*x - 88. Let k be l(-2). What is the least common multiple of v(k) and 9?
45
Suppose 5*d + 6*w = w + 60, 4*d - 5*w = 12. Let n(k) = 172*k**3 + 4*k**2 - 1. Let r be n(-1). Let t = -101 - r. What is the smallest common multiple of d and t?
136
Let j = -5/7797 + 324955/124752. Find the common denominator of 7 + -2 - 2675/440 and j.
528
Let i(d) = 21*d**2 + 82*d - 11. Calculate the lowest common multiple of i(7) and 10.
7960
Suppose -94209*f + 94204*f = -12670. Calculate the smallest common multiple of f and 1448.
10136
Let y be 8*2/(-20)*(-25)/10. Find the common denominator of -29/15 and (y/(-20)*214)/((-84)/10).
210
Suppose 3*x - 170 - 985 = 0. Calculate the common denominator of 679/x + 2/(-2) + 0 and 103/30.
330
Suppose 2*v = 4*l + 12, -3*v + 25 = -5*l + 9. Let a = 2 - -4. Suppose -q = -a - 2. Calculate the least common multiple of v and q.
8
Let j = 7 + -7. Let n(w) = -w**2 - 2*w + 4. Let t be n(j). Suppose -t*c = 3*f + 11, 5*c + 3*f + 4 + 6 = 0. What is the least common multiple of 11 and c?
11
Let a = -5101 + 5797. Calculate the lowest common multiple of 44 and a.
7656
What is the common denominator of 3/26506 and (340/(-425)*10/28)/((-12)/(-57))?
185542
Let k be (-4)/(-6) + 190634/60. Suppose -3*f + 5*s + 9553 = 0, -3*f + 9549 = -109*s + 106*s. Let c = k - f. Find the common denominator of c and 69/4.
20
Let g be 2907/(-610) - 46/115. Let t = 4/61 + g. Find the common denominator of 13/9 and t.
90
Let l(x) = x**2 + 32*x + 258. Calculate the least common multiple of 2 and l(-15).
6
Let w(u) = u**3 - 18*u**2 + 86*u + 3. Let i be w(17). What is the common denominator of (-3)/(-8) - (-5691)/i - 6 and 101/10?
70
Calculate the common denominator of -5 + 5 + 1905/(-540) and 20/117.
468
Let a(c) = 8*c**2 - 3*c - 2. Let t be a(-3). Let k be (154/t + -2)*434/196. Let w = k + -68009/9954. What is the common denominator of 145/36 and w?
36
Suppose -5*t - 2*s + s = 22, 20 = -3*t - 4*s. Find the common denominator of t/22 + (-7967)/(-11935) and -81/20.
140
Let i = -33379/258 - -389/3. Let u = 334153 + -2688349/8. Let z = u - -1895. Find the common denominator of z and i.
344
Let i be (-6)/(2*(-3)/(-4)). Let k(t) be the third derivative of t**5/30 + t**4/3 + 5*t**3/6 - 2902*t**2. Calculate the smallest common multiple of k(i) and 5.
5
Let q = -44267/11 - -4022. Find the common denominator of q and 1/19.
209
Suppose 5988 = -32*o + 35*o. What is the smallest common multiple of 2 and (2 - 0)/(-7 - o/(-284))?
142
Let y(v) be the first derivative of -v**2/2 - 44*v + 40. Let o be y(-18). Find the common denominator of -121/24 and (-26 - 1)*o/168.
168
Let x = -6438 + 7277. What is the smallest common multiple of 3 and x?
2517
Let y(h) = h**3 - 7*h**2 + 12*h - 9. Let k be y(4). Calculate the smallest common multiple of 25 and (12/10)/(k/(-75)).
50
Suppose 3*h = 4*z - 828, 38 = z + 2*h - 180. What is the lowest common multiple of z and 336?
1680
Let a(k) = -k**3 + 8*k**2 + 10*k + 6. What is the smallest common multiple of a(-6) and 102?
7650
Let g(j) be the third derivative of j**4/24 + 2*j**3 + 11*j**2. Calculate t