/(-27) - 3) and -9/592.
11248
Let c = 82 - 43. Let v be -12 - -2 - 2 - c/(-13). What is the least common multiple of 7 and (-90)/(-16) + v/(-24)?
42
Let r = 16843/78 - 6822/13. Let n = r - -1251/4. Let x = 4231 + -59267/14. What is the common denominator of x and n?
84
Suppose 9*t - 18*t = -360. What is the least common multiple of t and 19 + (-1 - 8/(-4))?
40
Suppose -4*z = -c + 260, -2*z + 329 = c + 81. Calculate the least common multiple of c and 18.
252
Let m(d) = 2*d + 13. Let u be m(0). Let y = u - -8. Let o(l) = l**3 + 9*l**2 + 7*l - 25. Calculate the lowest common multiple of o(-7) and y.
168
Calculate the least common multiple of (-4)/(-14) - (-192)/14 and (-3 - 51*1/(-7))/((-165)/(-770)).
140
What is the lowest common multiple of 800 and ((-1856)/1624)/((-4)/14)?
800
Let y(n) = -7*n + 165. Let p be y(23). Suppose 2*a + p = 4*z - 16, -2*a = -z + 8. What is the lowest common multiple of z and (-8)/(-3)*45/6?
20
Let n = -10272/4889 - -897125725/88002. Let k = n - 10198. Find the common denominator of (98/70)/((-4)/15) and k.
36
Let g = -68191 - -64372257/944. What is the common denominator of 103/12 and g?
2832
Let s = -137 - -139. Suppose 0 = -22*u - s*u + 1488. What is the least common multiple of 20 and u?
620
Let v = -1081262/439 + 2463. Let j = v - 20179/1317. Find the common denominator of 51/118 and j.
354
Let p = -2539771/33864 + -60/1411. Let g = 224/3 + p. Let d = -11/42 + -208/21. Find the common denominator of g and d.
24
Let w = -50 + 59. Let r = 2091 + -1650. Calculate the least common multiple of w and r.
441
Let d(z) = 78*z**2 - 2*z - 46. Let x be d(-5). Let c = x - 176105/92. Find the common denominator of -30/7 and c.
644
Suppose 5*q - 2728 = -3*s + 473, 2*q - 1237 = 5*s. What is the lowest common multiple of 12 and q?
636
Let q(o) = -3*o**2 - 13*o + 1. Let r(c) = c**2. Let b(f) = -q(f) - 4*r(f). Calculate the smallest common multiple of b(12) and 7.
77
Let x(j) = 21*j - 84*j + 20*j + 23*j + 13*j - 93. What is the smallest common multiple of 116 and x(-15)?
348
Let c be 1 + (-1 - (-12)/(-53463)). Let o be (-462)/(-16566)*(-738278)/(-2556). Let i = o - c. Calculate the common denominator of -101/36 and i.
36
Let p be (-4 - -5)/(16*2). Let j = -693/160 + p. Find the common denominator of (-6)/(-4) + 55/(-50) and j.
10
Suppose -74*z = -97*z + 23. Calculate the least common multiple of z and (2/(-3))/(6/(-45)).
5
Suppose 45 = 137*b - 138*b. Let z = b + 49. Suppose -z*x - 3*m + 75 = 0, -2*x = m + 3*m - 40. What is the lowest common multiple of x and 22?
198
Suppose -2*z + 28 = q, -q - 5*z - 8 = -42. What is the lowest common multiple of 1244 and q?
7464
Suppose -4*g = 2*x - 6*x - 56, -3*g = 5*x - 26. Calculate the least common multiple of g and -4 - ((-5376)/280 + 2/10).
60
Let t = 87617/1818754210 + -1/53830. Let w = 4223423/1621776 - t. Find the common denominator of w and -67/3.
48
Suppose 5*h + 0 = 10. Suppose 5*j = h*j + 12. Suppose -3*i + 71 = j*a + 24, 5*a - 5*i - 15 = 0. Calculate the smallest common multiple of 15 and a.
120
Let s = 4120 - 41161/10. Let n be 2/((-6)/(-2199)) + -3. Let q = n + -5070/7. Find the common denominator of q and s.
70
Suppose 10 = -5*x, 12*x - 11*x = 3*h - 2. Suppose -4*c - 29*v = -25*v - 112, h = -5*c - 4*v + 137. What is the lowest common multiple of 40 and c?
200
Suppose -10385 - 4046 + 4036 = -21*m. Calculate the lowest common multiple of 8 and m.
3960
Let i = -51 + 56. What is the common denominator of 44/5 and 44/i + -12 + 11?
5
Suppose -37*t + 15120 = -19*t - 6*t. Calculate the lowest common multiple of t and 1080.
7560
Let l = -6428 + 6575. What is the smallest common multiple of l and 1689?
82761
Let i(n) = -4*n**3 + 10*n**2 - n - 9. Let w be i(4). Let h = w + 119. Let s = 17 + -7. What is the least common multiple of s and h?
10
Let r(l) be the third derivative of l**4/3 - 74*l**3/3 + 2*l**2 + 57. Let p = 8 - -4. What is the lowest common multiple of r(21) and p?
60
Let m = 370111/24 - 15415. Calculate the common denominator of m and 399/36 + (-70)/10.
24
Suppose -5*f + 10 = 0, 0 = -171*x + 173*x - 4*f - 12598. Calculate the least common multiple of x and 573.
6303
Let k(f) = -5 - 6 + 4*f - 3*f. Let j(w) = -w**3 + 17*w**2 + 32*w - 233. Let z be j(18). What is the least common multiple of 12 and k(z)?
24
Let o(m) = 2*m**3 + 14*m**2 - 3*m - 12. Let i be (-30)/70 - (-46)/(-7). What is the least common multiple of 9 and o(i)?
9
Let j = -1/952 + -10823/5712. Find the common denominator of j and -11/8.
48
Let i(t) = -2*t - 3. Let c be i(-3). Let b = 9415 + -9411. Suppose c*z - 3 = b*f - 0, -5*z = 3*f - 5. What is the least common multiple of z and 10?
10
Let n = 23 + -5. Let u be (-4 + (-56)/(-20))/((-18)/30). Suppose -5*b - 6 = 9, 2*h = -u*b + 166. Calculate the smallest common multiple of h and n.
774
Let y be (-114485032)/(-522)*3/(-60). Let g = -10966 - y. Let n = g + 20101/5220. What is the common denominator of -137/6 and n?
60
Let a(k) = k**2 - 4*k + 17. Let g be a(-5). Let q = -20 + g. Let t(u) = u**2 + u - 4. Calculate the smallest common multiple of q and t(3).
168
Let o = -13319/22560 - 1/10528. Find the common denominator of -78/385 and o.
1155
Let w = 13 + -9. Suppose -2*b = -x - 1, 43 = 5*x + w*b + 6. Let n = -38 - -43. What is the lowest common multiple of x and n?
5
Suppose 0 = -77*l + 58*l + 190. Calculate the smallest common multiple of 2182 and l.
10910
Calculate the common denominator of ((-18)/(-15))/(98/1995*-3) and 17/42.
42
Let w = -918 - -2719/3. Let p = -16670 - -11678. Let t = -264550/53 - p. Find the common denominator of t and w.
159
Suppose -28 = -3*y - p + 27, 2*y - 5*p - 31 = 0. Let h = -110 + 95. What is the lowest common multiple of (16/104 - (-108)/(-195))*h and y?
18
Let d(f) = -2*f**2 + 22*f - 21. Let n be d(8). Suppose n*x - 375 = 2*x. What is the least common multiple of 12 and x?
60
Let j = 29/24 + -9881/312. Let a = j + 4857/130. Find the common denominator of a and 348/(-24) + (-1 - -2).
10
Let w = -98/115 - -11249/920. Let a = 67816717 + -1221011167/18. Let k = -17241 - a. Find the common denominator of w and k.
72
Let g = 13943/120 - 2917/24. Let o = -1/80478 - 1066295/3098403. What is the common denominator of o and g?
1540
Let z = -54 - -57. Let k = 60 - 102. Calculate the common denominator of -25/14 and z/k*3976/(-144).
252
Let x = 15995 - 15989. Suppose 0*d = d - 24. Calculate the smallest common multiple of x and d.
24
Let l(n) = -n - 25. Let d be l(-25). Let i(c) = 2*c + 8. Calculate the lowest common multiple of -3 - (d + (-12)/16)*44 and i(4).
240
Let o = 16280621/813114 - 4550/227. What is the common denominator of -121/24 and o?
14328
Calculate the least common multiple of (-18)/(-117) - 15384/(-52) and 108.
7992
Suppose -4*v = h - 354, 5*v - 5*h = 2*v + 254. Suppose -18*f + 488 + 502 = 0. Let c = v - f. What is the least common multiple of c and 9?
99
Let h = -31/1278 + -18/71. Suppose 16*r - 2*g = 15*r - 9, 0 = 5*r + 5*g + 120. Calculate the common denominator of 629/(-126) + -10*r/(-665) and h.
18
Suppose 8920446 = i + i + 3*k, -5*k + 4460223 = i. Let f = i - 9990898209/2240. Let m = f - -13/448. Calculate the common denominator of m and -11/14.
70
Let g be (-2 + 0)/((-18)/36). Calculate the least common multiple of (-30)/10 - -7*g and 30.
150
Let d = 9593 + -9575. Let z(r) = -r**3 + 10*r**2 + 12*r + 13. Calculate the least common multiple of z(11) and d.
72
Suppose 5*n + 65 + 10 = 0. Let y = -13 - n. Suppose -2*o = 3*x - 121, y*o - 2*x + 3*x = 115. Calculate the least common multiple of o and 8.
56
Let s(a) = -3*a**2 + 65*a + 9692. Suppose -3*x = -0*x - 648. Calculate the lowest common multiple of x and s(-47).
1080
Let u = 4/5015 + 416173/90270. Calculate the common denominator of u and -97/414.
414
Let d(g) = 15*g**2 + 2*g + 1. Let s be 3/(-12)*(6 - 2). Let v(y) = -2*y**2 - 7*y + 20. What is the lowest common multiple of d(s) and v(-5)?
70
Let t = -116 + 1049. What is the least common multiple of t and 6?
1866
Suppose -126*s - m = -127*s + 12, s + 3*m - 4 = 0. Calculate the least common multiple of s and ((-4)/5)/(2/(-40)).
80
Suppose 0 = -0*u + 13*u + 48*u - 488. Calculate the smallest common multiple of u and 4332.
8664
Let d = 699569/44 + -15900. Calculate the common denominator of d and (8 + (-804)/(-120))/(5/(25/(-2