96. Let i = w - 4/1757. Let s = -1493/264 - i. What is the common denominator of s and -99/8?
8
Let t(a) = -33*a - 42. Let y be t(-5). Suppose y = 12*v - 657. Suppose -v*o = -69*o + 192. Calculate the least common multiple of o and 16.
48
Let z(l) = -l**3 - 16*l**2 - 38*l + 14. Let c be z(-13). What is the smallest common multiple of 1 + (5 - c) - (-22 - -11) and 4?
16
Let k(f) = 2*f**3 - f**2 + 1. Let i be k(-1). Let l be (i/9)/((-20)/(-85)). Let v = 43/9 + l. Find the common denominator of -28/15 and v.
30
Calculate the common denominator of -167/2400 and (-1 - 13/(-18))*(-76)/((-46208)/(-627)).
4800
Suppose -121*t - 122*t + 75816 = 0. What is the least common multiple of 44 and t?
3432
Suppose 59*y - 57*y + 2*s = 1228, -5*s = y - 622. What is the lowest common multiple of 22 and y?
6732
Suppose 4*g + 4456 = 5*n + 729, g - 2 = 0. Calculate the common denominator of (-1164)/n*((-15)/40)/1 and -77/4.
332
Suppose 7*i - 1 = 27. Suppose -i*n - n = -5*w + 55, -5*n = w + 31. Find the common denominator of 17/15 and (-4 - -8 - 52)/n.
105
Suppose 9665 = 18*p - 4915. Suppose -30*k = -15*k - p. Calculate the least common multiple of k and 54.
54
Let j = -13 + 336. Let d = 353 - j. What is the smallest common multiple of d and 28?
420
Let h = 8359249/12 - 696605. Suppose c = 5996 - 23632. Let p = -247017/14 - c. Find the common denominator of p and h.
84
Let r(d) = -2*d + 101. Let o be r(-20). Let i = o + -133. Calculate the smallest common multiple of i and 1034.
4136
Let a = -2202 + 26443/12. Suppose 0 = 3*i - 10*i - 336. Find the common denominator of 191/12 - i/(-12) and a.
12
Suppose 4*k - 48 = -2*a + k, -4*a - 4*k = -96. Calculate the smallest common multiple of a and ((-98)/(-231))/(-7) + (-5352)/(-99).
216
Calculate the least common multiple of -4 - (214/(-7) - (-108)/(-252)) and 2568.
23112
Let k be 1 + 4 + (-1170)/(-6). Let p = k - 198. What is the least common multiple of p and 34?
34
Let d = 4184 + -4183. Calculate the lowest common multiple of d and 280.
280
Let f be ((-52)/18 - -1) + 5/(-45). What is the common denominator of (3 - 3 - 618/(-144))*f and 87/512?
1536
Let p = -980/19 - -7837/114. Calculate the common denominator of p and 33*26/387*(-2)/24.
774
Let d = -10720 + 12536. What is the least common multiple of 18 and d?
16344
Suppose -2*i - 2*t = 3*i + 20, 0 = -3*i - 4*t - 26. Calculate the least common multiple of 28 and -12*(-5)/(3 - i).
84
Let d be 2082/4*(-84)/(-45). Let t = -1152914425229/1189077630 - 3/15244585. Let v = d + t. What is the common denominator of -69/2 and v?
78
Let h be (3/(9/24))/(-2). Calculate the common denominator of (h/(-112))/(4/88) and -9/16.
112
Calculate the common denominator of -109/1012 and ((-2)/33)/((-1288)/1302).
1012
Let g(y) = -y**2 + 12*y + 28. Let o be g(12). Let r(u) = -u - 4. Let d be r(-12). Let b = o - d. Calculate the least common multiple of b and 18.
180
Let f(b) = -b**3 - 2*b + 3. What is the lowest common multiple of 35*((-18)/(-60) - 47/(-94)) and f(-3)?
252
Let o = 48141 + -11890772/247. What is the common denominator of 39/10 and o?
2470
Let k = 2957/5500 + 19/250. Let b = 1354021/624 + -28176/13. What is the common denominator of b and k?
528
Calculate the least common multiple of 60 and (12/(-20))/(-3 + 149/50).
60
Suppose -5*v + 3*c = -11, -6 - 3 = -3*c. Suppose v*m = -4*i + 212, -2*i + 5*m + 97 = -44. Let a = -28 + i. What is the lowest common multiple of a and 3?
30
Suppose 37*y - 35*y = 110. Let a = -69 + 70. What is the lowest common multiple of y and a?
55
Let i(z) be the first derivative of -2*z**3/3 - z**2 - 10*z + 22. Let j be i(-3). What is the common denominator of (-4)/j - 1886/(-880) and 21/16?
80
Let o be (18/(-27))/(4 + 62/(-15)). Calculate the smallest common multiple of 52 and (-8)/o*(-40)/4.
208
Let m be 6/(-27) - 9495/(-81). Suppose 0 = -15*g + 63 + m. Calculate the smallest common multiple of g and 44.
132
Suppose 0 = -f + 5*y + 18, 2*f + 3*y - 10 = f. Suppose 0 = 2*v - 19 - f. Calculate the least common multiple of v and (2/9*-3)/(-21 + 21140/1008).
48
Let c(s) = -s**3 + 4*s**2 - 3*s - 3. Let v be c(3). Let t be 4 - 2 - 3 - v. Suppose 0 = -t*u - 7 + 15. Calculate the smallest common multiple of u and 20.
20
Let q(i) = -i**2 + 5*i + 24. Let n be q(6). Suppose -6*m + n = -6. Calculate the lowest common multiple of m and 56.
56
Let w = 297561/50 + -5951. What is the common denominator of 87/20 and w?
100
Let a = -1052213/1269279 + 9/12821. Let s = 2128723/55 + -38703. Find the common denominator of s and a.
495
Let t(g) = -g**3 + 6*g**2 + 5*g + 14. Let w be t(7). Let f be (-87)/(-27) + (-10)/45 - w. Let m = 11 - f. Calculate the least common multiple of m and 40.
40
Suppose 0 = -5*w + 14 + 1, 2*d - 4*w - 652 = 0. Let a = 338 - d. What is the least common multiple of 58 and a?
174
Let k = 20302597/288 - 70495. Calculate the common denominator of -79/160 and k.
1440
Let z = -12681237715/2346 - -126644340/23. Let l = -100802 + z. Calculate the common denominator of -33/10 and l.
510
Let m = -2464669/81606 + 4077/134. Let i = m - 12/29. What is the common denominator of i and ((-122)/(-6))/(-22 + 16)?
126
Let r be (-2 - -1)*(7 - -392). Let h be 18/15*70/r. Let j = h + 259/57. Find the common denominator of j and -83/4.
12
Suppose -3*y - 24 = -4*x, 4*x + 22 + 26 = -3*y. Find the common denominator of (-5 + (-194)/(-30))/(y/(-63)) and (-10)/((-1)/(-13)*-116).
290
Let t = -21751717/834951447 - -2/1331661. What is the common denominator of 25/66 and t?
3762
Let g(u) = u**3 + 27*u**2 + 14*u - 438. Suppose 3*y + 16 = 4*y. Calculate the smallest common multiple of y and g(-25).
3696
Let v = -2/77133 - 796799/9333093. Calculate the common denominator of 73/27 and v.
3267
Let w(n) = n**2 + 4*n + 4. Let y(i) = 2*i**3 + 9*i**2 - 4*i + 1. Let p be y(-5). What is the smallest common multiple of w(p) and 1?
4
Let q = -1315555723/12714 - -103473. What is the common denominator of q and -56/33?
139854
Let w = -113584/7 - -16218. Find the common denominator of 35/18868 and w.
132076
Suppose 10*h - 29 = 31. What is the smallest common multiple of 246 and (h/1)/((-51)/(-170))?
2460
Let y be 2 - ((-156)/(4 + 2) + -2). Suppose -2*u + y = 18. What is the smallest common multiple of u and 1?
6
Calculate the common denominator of 5/532 and (-58)/(-2958) + 8486/(-1020).
2660
Let r(g) = -266*g**3 - 3*g - 2. Let t be r(-1). Suppose 5*j - 434 = 3*n, 5*j - 161 = n + t. What is the lowest common multiple of 40 and j?
680
Let g be -59*1/((-1)/1). Suppose -g = -3*d + 4*a, 2*a + 62 = d + 3*d. Suppose z - 17 = -5*f - 0*f, 3*f = -2*z + d. What is the least common multiple of 9 and z?
18
Let s(n) = -15*n**2 + 15*n - 12. Let f be s(5). Let j = 320 + f. Suppose w - 7 = 11. What is the least common multiple of w and j?
72
Calculate the common denominator of 3261/(-468) + 9 + (0 - 3)/3 and 119/36.
468
Let z be 21 + (-2)/7 + (-4)/(-14). Let o = z + -119. What is the common denominator of (-1 + 1 - o)*2/(-16) and 133/12?
12
Let g(q) = 2*q**2 + 5*q - 2. Let o be g(-3). Let j be (o/((-33)/2577))/((-4)/(-4)). Let b = j + 23710/297. What is the common denominator of b and 1/21?
189
Suppose -17*d + 918 = -8*d. What is the lowest common multiple of 3/2*(37 + 30/10) and d?
1020
Let b = 2764 + -2754. Calculate the lowest common multiple of b and 290.
290
Suppose c + 108 = 3*c. Suppose z - 3*z = -c. Suppose -86*a - 84 = -91*a + 3*y, -2*y - 68 = -4*a. What is the least common multiple of a and z?
54
Suppose 0 = y + 1861 + 1449. Let c = y - -29860/9. Let j = 8/97 + 4261/1261. Calculate the common denominator of c and j.
117
Suppose -6*w - 67 = 11. Let s be 3 + -1 - w/(65/238). Let x = 211/10 - s. What is the common denominator of x and 85/14?
14
Find the common denominator of -46/625 and 2/24 - ((-956)/(-40))/(306/255).
3750
Let u = -836031/17 - -49202. Let f = 5611/170 - u. Let c = -370/319 - -147/29. What is the common denominator of c and f?
110
Let n = -14 - -19. Let w(u) = -u**3 + 3*u**2 + 4*u + 3. Let x be w(4). Suppose -x - n = -m. What is the smallest common multiple of 5 and m?
40
Let x(w) = -18*w**2 - 33*w - 1. Let v be x(-2). What is the lowest common multiple of (2 - 1) + (-49)/v and 463?
3704
Let i = -4021/2 + 2018. What is the common denominator of -117/1450 and i?
1450
Suppose 2*p + 2558 = 2*n, 3*