 123862. Let o = 86387/6864 + t. Let y = 93/5 + -144/5. What is the common denominator of o and y?
60
Let p(c) = -c**3 + 12*c**2 - 10*c - 10. Let x be p(10). Find the common denominator of 109/22 and 8/36 - (-373)/x - 0.
330
Let h = -3214 - -35331/11. Let j = 1576/9 + -2903/18. What is the common denominator of h and j?
66
Let n be -3 + 565*2/(-108). Let l be ((-1)/27)/((-12)/(-852)). Let j = n - l. What is the common denominator of -17/2 and j?
6
Suppose 5*u - 18*u + 78 = 0. Suppose u*z = 20 + 34. Let m(q) = -q**3 - q**2 - q - 1. What is the least common multiple of z and m(-2)?
45
Calculate the common denominator of -39/20 and 1218/216 + -2*(-15)/(-10).
180
Let v be 798/(-9) - (-6)/9. What is the common denominator of 3 + -6 + (-148)/v and (-1)/(-60)*333/6?
440
Let t = 29923/9 + -3320. Let w be 15 - -5*(-1 + 0). What is the common denominator of t and (-84)/w*120/128?
72
Suppose 4 = -5*u - 26. Let w(y) = -y - 3. Calculate the least common multiple of 29 and w(u).
87
Suppose 5*c = 4*t - 693, 3*t - 414 = 3*c - 0*t. Calculate the common denominator of -40/9 and -3 - (2 + c/30).
90
Let p be (1 - (-14)/(-6))*-39. Suppose 5*l - 3*b + 0*b + 78 = 0, -5*b + p = -4*l. Calculate the common denominator of 86/(-10)*5/l and 19/10.
90
Suppose 0 = -6*y + 10*y. Suppose 2*l + y*k = k - 99, -2*l + 5*k - 111 = 0. Calculate the common denominator of 3/20 and 3/(-6) + 45/l.
80
Calculate the common denominator of -39/1288 and ((-315)/350)/(392/(-190) + 2).
1288
Let r be (-2)/40*(-6781 + -1). Let d = r - 341. What is the common denominator of -65/18 and d?
90
Let g be 33/6 + -1 + (-2)/4. Calculate the smallest common multiple of ((-7)/(56/g))/(1/(-14)) and 21.
21
Let i = 3283/78 - -16/39. Find the common denominator of -51/7 and i.
14
Suppose -5*g - 5*j + 4*j = -634, 0 = -4*g - 3*j + 516. Calculate the lowest common multiple of g and 42.
126
Let p = -518 - -1502. Calculate the lowest common multiple of p and 12.
984
Suppose -2*f - 3*i + 135 = 0, -2*f - 2*i = 3*i - 125. Find the common denominator of 16/(-112)*7 - (-86)/(-20) and -1 + 2 + f/(-31).
310
Let i(x) = -5*x + 8. Suppose -6*v = 17 - 5. Let s be i(v). Suppose -19 = -u + 4*f, -3*u - 2*f = -f - s. Calculate the smallest common multiple of 12 and u.
84
Let o = -3716 + 2213. Let a = o - 6056. Let h = 83095/11 + a. Calculate the common denominator of -58/5 and h.
55
Calculate the lowest common multiple of 10 and 10 - ((-113 - -9) + 2).
560
Let v(k) = -k + 27. Let r be v(25). Find the common denominator of -107/6 and (-35)/504*(-18 - (0 + r)).
18
Suppose 5*z = -30*z + 280. What is the smallest common multiple of z and ((-21)/(-6))/((-2)/(-4))?
56
Let j = 17 + 1. Let f(b) = 11*b - 1. Let k be (4 + 13/(-3))*-3. What is the least common multiple of f(k) and j?
90
Let c(w) = w - 1 + 2 + 1 - 10. Let g be c(11). Suppose 5*t - 43 = g*k, -5*t + 2*k = -35 - 7. Calculate the smallest common multiple of t and 14.
56
Suppose -9*n + 0 = 144. Find the common denominator of (40/(-324))/(n/(-60)) and -89/14.
378
Let u = 5009 + -50161/10. Find the common denominator of u and (771/(-9) + 5)*18/(-120).
10
Suppose -12*m + 7 = -257. What is the lowest common multiple of 77 and m?
154
Suppose k - 2 = 0, -5*k + 42 = 2*a - 22. Calculate the least common multiple of 1 and a.
27
Calculate the least common multiple of 175/210 - (-93)/18 and 56.
168
Let c = 237 + -223. Suppose -5*w - 4*n + 2 + 2 = 0, -4*w - 2*n + 8 = 0. What is the smallest common multiple of c and w?
28
Let j = 1819 - 2702. Let k = j - -1721/2. Let a = -464691/34 - -13666. What is the common denominator of a and k?
34
Let v = 19 - 17. Suppose -19 = -v*r - 5*g, -33 = -r - 5*g - 11. What is the common denominator of -21/11 and (-200)/24*r/(-7)?
77
Let d = 287 - 215. What is the smallest common multiple of d and 108?
216
Let r(g) = 4*g**3 - 2*g**2 + g. Let t be r(1). Let a(f) = 0*f**2 - f**2 + t - 15 - 10*f. Calculate the lowest common multiple of 22 and a(-6).
132
Let n be (-1855)/10800*82*4/(-28). Let b = 94/135 + n. Find the common denominator of b and 52/57.
456
Suppose -4*k + 229 = -3*l - 2*l, -k - 2*l = -54. Let r = k - 42. What is the least common multiple of 32 and r?
224
Let l = 32 + -26. Let o(c) = -c**3 + 8*c**2 - 12*c + 7. What is the smallest common multiple of l and o(6)?
42
Let p(t) = -2*t**2 + 52*t - 90. What is the smallest common multiple of 94/8 - 8/(-32) and p(24)?
12
Suppose 3*p = -2*p + 3*c - 85, 2*c = 10. Find the common denominator of 53/4 and 451/42 - 6/p.
12
Let z = -2135/4 - -523. Calculate the common denominator of 19/31 and z.
124
Let x be 110/11 + 0/1. Suppose -6*n = u - 3*n - x, -10 = -u + 5*n. Calculate the smallest common multiple of u and 12.
60
Find the common denominator of -145/48 and (-3)/72*70 - -7.
48
What is the common denominator of (6/10)/((-96)/(-800)) and 2/(885/(-265) + 3)?
9
Suppose -18*d + 1 + 17 = 0. What is the least common multiple of 57 and d?
57
Calculate the least common multiple of 10 and -3 + (-38)/(-12) + (-13052)/(-24).
2720
What is the common denominator of 21/88 and 6 + -2 - (-417)/(-144)?
528
Let h = 69 + -30. Calculate the smallest common multiple of h and (24/(-36))/((-2)/24).
312
Calculate the least common multiple of (-136)/(-1224) + (-8423)/(-9) and 12.
936
Find the common denominator of (-4)/14 - 613/(-602) and 99/14.
602
Let q be (-81)/(-36) - 2/8. Let p = 4 - q. What is the lowest common multiple of 11 and p?
22
Suppose z = 16 + 29. Calculate the common denominator of 2/10 + 281/z and 31/6.
18
Let g = 5593/4 - 1417. Let t = 20 + -19. What is the common denominator of g and t/((-3)/((-279)/(-2)))?
4
Suppose -a + 0*a + 14 = -3*n, -2*n - 2 = 3*a. Suppose -6*t + 3*t = d - 56, -8 = -t - 3*d. What is the least common multiple of t and -3 + 8 + (-12)/n?
40
Let f = 705/2 - 1459/4. Calculate the common denominator of f and 47/19.
76
Let s = 11 - 5. Suppose 3*p = -x + 11, -128*p + 129*p + 19 = x. Calculate the smallest common multiple of s and x.
102
Find the common denominator of -3 - (15/(-90) - 41/22) and (6/(-44))/(81/252).
33
Let j = -24747824 + 495074189/20. Let t = 5884 - j. What is the common denominator of 970/80 + (-3 - (-12)/8) and t?
40
Let d = 132639 + -803213/6. Let n = -1224 - d. Calculate the common denominator of n and ((-2)/(-2))/((-7)/(-48)).
42
Let d = 11043/10 - 1105. Calculate the common denominator of 49/2719 and d.
27190
Suppose -4*j = -75 - 73. Suppose -9*d - 9*d + 36 = 0. What is the least common multiple of j and d?
74
Find the common denominator of 67/6 and (-5)/(10320/(-4376)) + -2.
258
Let t = -15 - -19. What is the least common multiple of t and (-2 + 5)*256/24?
32
Calculate the common denominator of 113/6 and 16/24 - 55/34.
102
Let x = -1005 - -1007. What is the smallest common multiple of x and 280?
280
Let v = 1643244/13 - 126608. Let b = 24707/117 + v. Calculate the common denominator of b and -48/5.
45
Let k be 321/(-27) + ((-35)/(-9) - 4). Let y(r) = r**2 - 6*r + 1. Let g be y(5). Let b = g - k. What is the smallest common multiple of b and 20?
40
Let z be 1/2 - 251/(-2). Suppose -4*d - z = -5*c, 42 + 72 = 5*c - d. Let b = -18 - -28. What is the smallest common multiple of b and c?
110
Let p = 1567 + -1555. Calculate the smallest common multiple of 99 and p.
396
Let r = 39707/7678 + -44/349. Find the common denominator of 629/56 - 3/(-14 - 7) and r.
88
Let f = -59/536 - 1/67. What is the common denominator of 131/36 and f?
72
Let h = -117 - -123. Let r be 9 - (-5)/(15/(-9)). Calculate the smallest common multiple of (r/(-15))/((-1)/10) and h.
12
Suppose -3493 + 21056 = 7*y. Let f = 27559/11 - y. Find the common denominator of -53/14 and f.
154
Suppose -161 + 29 = -v - 2*j, 5*v + 3*j = 639. Suppose 4*d = 13*d - v. What is the smallest common multiple of 62 and d?
434
Suppose -5*p = -x + 532, -4*x - 5*p = -x - 1556. Calculate the least common multiple of x and 696.
2088
Let g = 20605 + -370793/18. What is the common denominator of ((-2)/(-9))/(4 - 576/148) and g?
18
Let v = 1265 + -1245. What is the lowest common multiple of v and 124?
620
Suppose 9*s = 4*s - 4*n + 28, 30 = 3*s - 2*n. What is the lowest common multiple of s and (-184)/(-18) - 16/72?
40
Let r(o) = -o**3 + 4*o**2 + 9*o - 8. Let s(c) = -2*c - 17. Let f be s(-11). What is the least common multiple of 16 and r(f)?
48
