t f = -52355 + -4727. Let x = -13014721/228 - f. What is the common denominator of 25/32 and x?
1824
Suppose 3*r - 372*p + 375*p = 567, 0 = -4*r - 5*p + 763. Calculate the least common multiple of 26 and r.
182
Let o = 4 + -3. Let i = 3 - o. What is the smallest common multiple of i and (-4 - (-104)/20)/((-7)/(-35))?
6
Calculate the least common multiple of (-8)/18 + (-165424)/(-252) and 492.
1968
Let t be 3/(-9) + (-64)/(-12). Suppose 0 = -2*y + z - t - 7, 5 = y + 5*z. What is the common denominator of 53/2 and 58/(-6) + (-128)/(-24) + y?
6
Let p = -30/21881 - 1092058589/175048. Let v = p - -6247. Find the common denominator of 13/267 and v.
2136
Calculate the common denominator of 65/16 and 959/(-137)*(-2 + (1215/206)/3).
1648
Calculate the common denominator of 29/25 and (-529399)/74305 - 7/(-1).
1925
Suppose -3*h - 35 = -41. Suppose -c = -2*f + h, -1 = 5*f + c + 1. Find the common denominator of 517/110 + (0 - f/(-2)) and -23/6.
30
Let g be 4206*2/(28/(-6)). Let f = g - -50583/28. Find the common denominator of f and 113/28.
28
Let j = 115 - -45. Suppose 12 = -10*a + 12*a. What is the smallest common multiple of a and j?
480
Suppose 2*t - 59 + 47 = 0. Calculate the common denominator of (-2)/24*584/(-6) and 616/32*6/252*t.
36
Let n(c) = 11*c - 17. Let p be n(-4). Let t = 89 + p. Suppose -l + t = 4*x, 4*x = 4*l + x - 17. What is the lowest common multiple of 5 and l?
40
Let i(z) = -5*z**3 - z**2 - 6*z - 6. Let q be i(3). Find the common denominator of 263/q + -2 + (-4)/28 and 64/15.
120
Let r(n) = -n**2 - 9*n. Let v be 2/4 + (-99)/(-2). Suppose 2*k - 42 = 5*s - s, 0 = 5*s - 2*k + v. What is the lowest common multiple of r(s) and 20?
40
Calculate the common denominator of 94/752 + 15/(-344) and -3/190.
8170
Suppose i + 23 = 3*o, -4*i + 0*o - 2*o = -20. Suppose -4*k + 13 = 1. Calculate the least common multiple of 50/6 + k/(-9) and i.
8
Find the common denominator of (-2 - (-51)/42)/(7/21) and 93/364.
364
Let b = -3695093/90 - -41055. Calculate the common denominator of (-5)/(-90)*(-3320)/100 and b.
90
Let h be -1*(-2 + 2 + 0). Let i = h - -10. Suppose b - 62 = -5*m + 3*b, 4 = -4*b. Calculate the smallest common multiple of m and i.
60
Let k = -85 - -51. Let a = 7079794/7 + -1014376. Let n = -2983 - a. Calculate the common denominator of k and n.
7
Let s(l) = -7*l**2 + 4*l + 7. Let t be s(-3). Let a = t - -105. Suppose 0 = -4*h + a - 17. Calculate the lowest common multiple of 3 and h.
15
Calculate the common denominator of -17/63 and (2644/(-441) + 6)/(7/(-42)).
441
Let z be ((5144/1645)/4)/(11/(-55)). Let f be (6/(-235))/((-3)/(-90)). Let l = z - f. Find the common denominator of 29/8 and l.
56
Let s = 3361/6 + -566. Suppose 4*f = -6154 - 1814. Let v = 11921/6 + f. Calculate the common denominator of s and v.
6
Suppose -i - 4*d = -153, 0*i + 4*d = -2*i + 298. What is the lowest common multiple of i and 1830?
53070
Let g = -40 + 62. Suppose -6*c + 16 - g = 0. Calculate the common denominator of 1*(-1)/(-40)*c*74 and 17/20.
20
Let n be (-2)/(-80)*(-28)/18. Let p = -3107/1980 - n. What is the common denominator of -109/60 and p?
660
Calculate the common denominator of 686/36 + (-605)/55 and -2 + -1 + 1367/390.
1170
Let x be -3*4/(-66) - (-7930)/671. Let j(f) = 23*f - 206. Calculate the least common multiple of 14 and j(x).
70
Let r = 290981/29390 - 2/2939. What is the common denominator of 22/848*(-57 + 75) and r?
1060
Let p = 487203011/1106 + -440509. Find the common denominator of -41/350 and p.
27650
Suppose -152*d + 151*d + 2 = 0. Suppose 27 = 2*j - x + d, 1 = -j + 5*x. What is the lowest common multiple of j and 8?
56
Let g = -8102 - -72847/9. Find the common denominator of g and 22/81.
81
Let s = 21411 - 169513/8. Let w = s - 220. Let j = 2767/34 - 712/17. What is the common denominator of j and w?
8
Let o(l) = l**3 + 12*l**2 + 26*l - 5. Let p be o(-9). What is the common denominator of -26/9 and 69*10/36 + (p - -1)?
18
Let a(n) = -n**3 + 6*n**2 + 3*n + 24. Let h be a(7). Find the common denominator of (h/(-290))/(-7*5/(-1925)) and -20/11.
319
Suppose -7*o - 36 = 2*o. Let j(v) = 8*v + 25. Let a be j(o). Find the common denominator of 1/12 and 3/a + 132/(-280).
60
Suppose -397 = 4*b + 243. Calculate the common denominator of ((-259)/(-21))/(b/(-12)) and 127/24.
120
Let b = 86626/6076125 - -14/12375. Find the common denominator of b and -23/2455.
22095
Let f(d) = d**2 - 105*d + 27. Let y = 2 - -13. Calculate the smallest common multiple of f(0) and y.
135
Find the common denominator of 2/(-12)*(-17)/(425/(-10))*-73 and -14/95.
285
Suppose -2*m + 3*x + 8 = 0, 2*x - 6 = -4*m + 3*x. Let s be m/4 - (1 + 42/8). Find the common denominator of -50/21 and 161/147 + 2*2/s.
21
Let t = 7364 - 6723341/913. What is the common denominator of t and 49/747?
8217
Suppose 1 + 24 = p + 2*t, 4*p - t = 73. Suppose v - 18 = 2*f, -6*f - p = -v - 3*f. What is the lowest common multiple of v and 10?
80
Suppose 52 = 3*c - 38. Let b = -8 + c. Suppose 0 = -3*n + 52 + 14. What is the least common multiple of n and b?
22
Calculate the smallest common multiple of ((45/12)/(216/96))/(1/18) and 2820.
2820
Let x = -42 + 44. Calculate the common denominator of x/14*-2 - 2365/(-462) and 53/370.
1110
Suppose 6*r + 40*r = -29*r + 4500. Calculate the smallest common multiple of 88 and r.
1320
Let x be 37574/7 + 10/35. Let c = 32315/6 - x. Let u = -43779 + 1838623/42. What is the common denominator of u and c?
42
Let g = -1857 - -37209/20. Calculate the common denominator of g and -39/2420.
2420
Let u(i) = i**3 - 9*i**2 + 7*i + 7. Let q be u(8). Calculate the common denominator of 15/7 and q + 0 - (-120)/(-32).
28
Calculate the common denominator of (-298)/30*(16 + (-202)/12) and -149/126.
126
Suppose 0 = 3*y - 2*s - 84, 2*y - 5*s + 8*s = 69. Calculate the least common multiple of y and 147.
1470
Calculate the common denominator of -21/6361 and ((-96)/15)/((124/20 - 5) + 1).
69971
Suppose -1994 + 9969 = 69*r - 4169. What is the smallest common multiple of 2240 and r?
24640
Let s = -12 + 24. Suppose -815*o + 1176 = -809*o. Suppose -o*z + 186*z = -100. Calculate the smallest common multiple of z and s.
60
Suppose 0 = 9*a - 65 - 151. Suppose -2*x - a = -y + 20, 24 = -2*x - 4*y. What is the common denominator of 18/7 and 4/x - (-176)/(-70)?
7
Let q = -7539/8668 - -26/591. Find the common denominator of 95/8 and q.
264
Let f = 9876 + -296251/30. Find the common denominator of -143/870 and f.
870
Let b(o) = -5*o - 42. Let p be b(-10). Suppose 160 = p*j - 4*j. Calculate the lowest common multiple of 32 and j.
160
What is the common denominator of (-22)/(-10)*(-30)/28 and 117/4*(-46)/276 + -6 + 0?
56
Suppose 9*j - 8 - 1 = 0. Suppose 24*b - 25*b = -4. What is the least common multiple of j and b?
4
Let x(i) = -28*i + 272. Suppose -5*w + 72 = 3*w. What is the least common multiple of 238 and x(w)?
2380
Let j = -13218 - -16529. Calculate the least common multiple of j and 63.
29799
Let n(r) = r**3 + 18*r**2 - 17*r - 56. Calculate the least common multiple of 9 and n(-16).
6552
Let q = -4232/55 - -397/5. Calculate the common denominator of 97/2666 and q.
29326
Let m = 130943/2391 - -3274423943/263010. Let i = m + -62518/5. Calculate the common denominator of -1/20 and i.
220
Suppose -3*d - 2*o + 184 = 0, 926*d + o + 205 = 929*d. What is the lowest common multiple of d and 110?
330
Suppose -4*r = -3*j - 106, -4*j - 32 = 3*r - 99. Let x = -46 + 66. Calculate the least common multiple of r and x.
100
What is the common denominator of 60/143 and (-326)/9*(-8)/(-32) - -7?
2574
Let v be 3/4 + 8696/(-2080) + 3. Let f = v - -2461/130. Calculate the common denominator of f and 111/22.
22
Suppose 5*n = -37125 - 8470. Let d = 127613/14 + n. Let r = -37699/6921 + 2/769. What is the common denominator of d and r?
126
Let g(u) = u. Let b be g(5). Suppose -3*c - 22 = b. Find the common denominator of -15/4 and ((-1)/c)/(160/4290).
48
Suppose p = -q - q + 129, 0 = 5*p + 3*q - 610. Suppose 12*r - 49 = p. Calculate the smallest common multiple of r and 7.
14
Let x = -24953/115 + 217. What is the common denominator of x and 7/23?
115
Let u(z) = -6*z + 27. Let v be u(5). What is the common denominator of -97/18 and (v - 0) + 8 + 1315/(-180)?
36
Suppose 125*v - 1584 = 81*v. Suppose 4*n - 10 = 6, 0 = 5*b - 