x = 3/24742 + 1843207/593808. Let n = -117 - -931/8. What is the common denominator of n and x?
48
Let f(g) = 106*g + 1175. Let p(b) = b**3 + 9*b**2 + 5*b - 2. Let v be p(-6). Suppose -6*j + 2*j = -v. Calculate the smallest common multiple of f(-11) and j.
171
What is the common denominator of 1 - (2581/872 + -2) and -91/12?
2616
Suppose -3*h = -f + 30, -62 = -6*f + 5*f - 5*h. Suppose 45*d + 39 = 46*d. Calculate the lowest common multiple of f and d.
546
Find the common denominator of ((-2)/(36/(-5)))/(528/(-96)) and -35/333.
3663
Calculate the common denominator of 101/612 and 16/20 - (-1288)/(-20160).
1224
Suppose 97 = -6*w - 149. Let o = w - -74. Calculate the smallest common multiple of 30 and o.
330
Let f = -2219 + 8823/4. Let x be (-2)/8 - 45249/(-4) - -4. Let m = 2059599/182 - x. Find the common denominator of m and f.
364
Let d(u) = -2*u - 25. Let b be d(-12). Find the common denominator of (((-108)/8)/b)/((-6)/(-16)) and 23/298.
298
Let a = -46 + 48. Calculate the common denominator of (-1)/a*474/(-30) and 11/2.
10
Let q(m) = 56 + 5 - 31 - 12*m. Let w(j) = -8*j - 4. Calculate the least common multiple of q(2) and w(-4).
84
Suppose -10*o + 7*o = 3*j - 588, -5*o = -2*j + 420. What is the least common multiple of j and 400?
400
Let y(d) = d**2 + 4*d - 1. Let c be y(-7). Find the common denominator of -1*(0 - -6) - 6/((-3168)/2776) and 12/4 - (-62)/c.
330
Let j = 11379/17812 - 142/219. What is the common denominator of j and 83/2?
732
Calculate the common denominator of ((-25)/(-10))/((-81)/108 + (-13)/4) and 37/2452.
4904
Suppose 14278 = -27*y + 71*y + 15*y. What is the lowest common multiple of 506 and y?
5566
Let p(x) = -9*x**2 + 7*x + 10. Let c be p(11). Let o = -17080/17 - c. Let j = 240 - 913/4. What is the common denominator of j and o?
68
Let m(q) = q**2 - 23*q - 46. Let l = 195 - 209. Calculate the lowest common multiple of 20 and m(l).
2360
Let f(n) = -13*n + 52. Let j be f(-21). Find the common denominator of 2930/(-728) - 50/j and 77/32.
224
Let w(r) = -r + 115. Calculate the smallest common multiple of w(-20) and 1950.
17550
Let n = 3631/84284 - 4/1109. Calculate the common denominator of -23/364 and n.
6916
Suppose 7*f + 14 = 2*w + 6*f, f + 4 = 0. Suppose 23 = 3*r - 2*j - 23, 0 = w*j - 20. Calculate the lowest common multiple of r and 3.
18
Let v(h) = -h**2 + 32*h - 27. Let d be v(23). Calculate the common denominator of 2/(-5) - (-791)/490 and 2 - 2/(d/175).
126
Let q(c) be the third derivative of c**5/60 + 2*c**4/3 - 2*c**3 + 12*c**2. Let i be q(6). What is the common denominator of 48/i - -1*(-241)/(-60) and 139/12?
12
Calculate the common denominator of -8 - (-3)/((-438)/(-1229)) and 43/219.
438
Let x = -7718 - -169707/22. Let k be 6/33 - (-458)/869. Let j = 1527/632 + k. Find the common denominator of j and x.
88
Let i = 1 + -1. Suppose -r = -2*n + 6550, -4*r + i*n - 26227 = n. Let g = r + 39463/6. Calculate the common denominator of 55/16 and g.
48
Let y be (7/(84/8))/(14/(-179823)). Let t = y + 753437/88. Find the common denominator of -79/44 and t.
88
Let r = -16814119/21930 + 13032/17. Find the common denominator of 61/387 and r.
3870
Let p(n) = -n**3 + n**2 + 2*n + 12. Let h be p(5). Let z = 96 + h. What is the least common multiple of 540 and z?
540
Let g = 2993 - 2117. What is the smallest common multiple of g and 9?
2628
Let g(k) = -2*k**3 + 23*k**2 - 13*k + 26. Let p be g(11). Suppose -2*h + n = -128, -p*n + 19 = 2*h - 99. Calculate the least common multiple of h and 99.
693
Let h(k) = 6*k**3 + 296*k**2 - 2147*k - 15. Calculate the least common multiple of 33 and h(7).
1518
Let f(z) = 29*z - 109. Let x be f(-14). Calculate the common denominator of -97/2 and 4 + x/210 + -3.
42
Let q = -8551/1610 + 53/10. What is the common denominator of q and -6/161?
805
Let q = -38572 + 38810. Calculate the least common multiple of 476 and q.
476
Let q be ((-2595)/(-6) - 0)*16/24. Let k = q + -292. What is the common denominator of 85/24 and k?
24
Let q = -30812 + 32465. Calculate the least common multiple of 522 and q.
9918
Let m = 74533/31920 + -39/2128. Find the common denominator of m and 39/1700.
5100
Let b(u) = 54*u - 1. Let i be b(-2). Suppose 376 = 2*r + h, 3 = -r - 5*h + 164. Let y = r + i. Calculate the lowest common multiple of 14 and y.
574
Let m = 23761/2 - 13591273/1144. What is the common denominator of m and -79/88?
1144
Let y = 307/139 + -49249/27522. Let h = -4/11 + y. Calculate the common denominator of h and (-1042)/(-180) + (16/20)/(-2).
18
Let o(h) = h**2 + 9. Suppose 134 = 15*l + 1754. What is the lowest common multiple of (-1)/4 - 1971/l and o(0)?
18
Let t(y) = y + 12. Suppose 3474 - 1359 + 1545 = 183*g. Calculate the least common multiple of t(0) and g.
60
Let c = 93359/22 - 4248. Let f = -3972/5 - -115338/145. Let w = 141/116 + f. Calculate the common denominator of c and w.
44
Let s be (-197)/(-4) + 2 + 14/(-56). Suppose z - 5*z = -x - 49, 4*z - 3*x = s. What is the lowest common multiple of z and 6?
12
Let j = 7741/404 - 92/101. Calculate the common denominator of j and -45/3803.
15212
Calculate the lowest common multiple of 504 and (12 - (11 - -16)) + 51.
504
Let z(r) = 55*r + 113. Let k be z(-3). Let m = -30 - k. What is the lowest common multiple of 436 and m?
4796
Let n = -445 + 449. What is the least common multiple of 55 and 3*20/n + (-4 - 1)?
110
What is the common denominator of (4*(275/132)/(-25))/((-24)/(-146)) and (-139)/(-64)*(-8)/6?
144
Suppose -5*z + 3*v = 747, 436 = -3*z + 2*v - 12. Calculate the least common multiple of (2 + z/(-9))*(11 + -2) and 6.
168
Let b = -411821/4842600 - -1/24213. Calculate the common denominator of b and 95/8.
200
Suppose -g + x = 67, 3*g - 2*g = -2*x - 52. Let o = g + 37. Calculate the lowest common multiple of (-1)/1 - (o + 4) and 4.
20
Let k(w) = -w**2 + 25*w - 46. Let d = -46 - -66. Calculate the lowest common multiple of k(22) and d.
20
Suppose 29 = -17*m - 5. What is the common denominator of ((-4)/(-48)*m)/(2/(-244)) and -1/66?
66
Let w(f) = -2*f**3 - 24*f**2 + 26*f + 18. Suppose 2*t - 86 - 10 = -2*g, 4*t = -8. Calculate the least common multiple of w(-13) and g.
450
Suppose -3*g + 8824 = -2*n, -35*g = -36*g - 4*n + 2932. What is the smallest common multiple of g and 8?
5880
Suppose -9 = u - 2*u. Let o = u + 69. What is the least common multiple of o and 18?
234
Let w = -40823/81 + 504. Let b = 534/859 - -396554/69579. Let z = w + b. Find the common denominator of z and -44/3.
3
Let d be 684/(-8) + (-4)/(-8). Let f = 145 + d. Calculate the lowest common multiple of f and 18.
180
Suppose 47*k = 53*k - 38820. Let x = -782858/121 + k. What is the common denominator of x and -5/121?
121
Let y = 320973325/468 - 685840. Let o = -68/39 + y. Find the common denominator of o and -43/2.
36
Let v be (-3)/2 - (-2)/(-4). Let t be (31 - 33)/(1*2). What is the common denominator of (61/v)/(0 + t) and -83/12?
12
Let n(o) = -2*o**2 + 17*o + 5. Let m be n(10). Calculate the common denominator of -91/24 and (m/6)/(-1)*10830/3800.
24
What is the common denominator of 550/(-60) + (80/(-10) - 2*-2) and 1 + 11 - 0/(-8)?
6
Let m be -1*(-2 + 0/(-3))/(-17099). Let w = m + -1624393/102594. Find the common denominator of w and -79/15.
30
Suppose -28*v = -8464 - 451 - 717. What is the least common multiple of 4 and v?
344
Let u = 3864 - 3705. Calculate the least common multiple of 12 and u.
636
Let t = 21 - 657. Let w = -631 - t. What is the least common multiple of w and 5?
5
Let b(u) = -u**3 + 2*u**2 - 36*u + 16. Calculate the lowest common multiple of 50 and b(-6).
2600
Suppose 41888 = 771*f - 737*f. Calculate the least common multiple of 792 and f.
11088
Suppose -5*j + g - 2 = 0, 5*j - 3 = 5*g + 7. Let h = -13 - -33. What is the least common multiple of h and (j - -4)*(7 - 78/18)?
40
Let h(r) = -r**3 - 5*r**2 - 9. Let f be h(-6). Let c(g) = 10*g**2 - 1. What is the lowest common multiple of c(-1) and ((-80)/12 - -6)/((-1)/f)?
18
Let t = 2/14293 - 1243511/142930. What is the common denominator of t and -79/80?
80
Let k = -13207 - -13273. What is the lowest common multiple of 1496 and k?
4488
Suppose -33*o + 4960 = 7*o. Let c = o + -118. Calculate the lowest common multiple of c and 88.
264
Let n be 0/((-1)/((-4)/8)). Let u = 3 - n. What is the common denominator of 75/4 