o, 6*o - 5*o + 17 = 3*i. Let x(a) = a**2 - 8*a + 16. What is the least common multiple of 3 and x(i)?
9
Suppose 2*a - 21 = 3*a + 4*z, 2*a = -2*z - 12. Let k be (-1 - ((-3 - a) + 3))*2. What is the lowest common multiple of (3/(-8)*k)/((-3)/(-64)) and 4?
32
Suppose 13*d + 434 = 15*d. What is the common denominator of -149/30 and d/30 + -1 + (-12)/20?
30
Calculate the smallest common multiple of 1008 and (0 + 672/(-10))/(537/(-8950)).
10080
Let q = -131261/709830 + -7/26290. Let t = 962/3 - 324. What is the common denominator of q and t?
27
Let h = 14 + 11. Suppose -5*k = -4*y - 18, 4*y + 13 = h. Suppose 5*g - 34 = -p, -90 = -2*p - 3*p - 5*g. Calculate the smallest common multiple of p and k.
42
Let z = -3944 + 3959. Let q = 12 - 25. Calculate the common denominator of -62/5 and (2 - (-305)/z)/q.
195
Let y(u) = u**3 + 9*u**2 + 7*u - 5. Let s be y(-8). Let x(m) = -2*m + 5. Let c be x(s). Calculate the common denominator of -3/10 and 226/(-20) - c - -1.
10
Let s be -40*((-4)/(-8)*1 - 2). Let n be ((-4315)/s)/(154/(-30)). Let u = -20/77 + n. Find the common denominator of u and -16/9.
36
What is the common denominator of -55/93 and (-7 - (-1245)/15)/806?
1209
Suppose o = 6*x - 2223 - 3629, 4881 = 5*x - 3*o. What is the smallest common multiple of x and 9?
2925
What is the common denominator of (-253175)/20976 - 48/(-4) and -39/184?
1104
Calculate the lowest common multiple of 1603 and 3*((-22)/30 + 1)*(-1145)/(-458).
3206
Let a be 0 + -1 + 3 + -2. What is the common denominator of a + (-84)/8 + 4 and 0 - ((-344)/114 + 14/42)?
38
Suppose 3*i - 5*p = -424 + 96, 5*i + 520 = 3*p. Let a = i + 107. Calculate the lowest common multiple of a and 32.
96
Suppose 21*a - 18*a + 8 = 2*i, 2*a + 4*i = 0. Let v = -14687/1662 - -1/277. Find the common denominator of v and a - (9 + (-6921)/594).
66
Let y be ((-15193)/(-31))/(6*-7). Let a = 1/434 + y. What is the common denominator of (-5)/28*(7 + -19) and a?
21
Suppose o = -5*z + 22, 0 = -z - 2*o + 7 + 1. Suppose 4*j - 94 = -3*y - j, z*y - 102 = 5*j. What is the least common multiple of 40 and y?
280
Let y = -81373 - -64935677/798. What is the common denominator of y and -39/20?
7980
Let t = -208163/367614 + -10/4713. Find the common denominator of 97/234 and t.
234
Let z = 5 - -2. Let m(h) = h + 3. Let g be m(z). Find the common denominator of -21/16 and ((-18)/(-300))/(12/g).
80
Let n(p) = -p**3 - p**2 + 3*p + 138. Suppose -3*m - 8*m = -12*m. What is the smallest common multiple of n(m) and 3?
138
Suppose 9430 = 26*l - 21*l + 5*j, 0 = 3*l - 4*j - 5686. What is the lowest common multiple of l and 504?
7560
Suppose 143*h = -52*h - 585. Suppose 0 = 3*z - 2 + 290. Calculate the common denominator of 73/10 and 4*57*h/z.
40
Suppose 0 = -5*w - 5*x - 260, 2*x = -x + 15. Calculate the smallest common multiple of (3 - w/6)*(-4)/(-5) and 65.
130
Let u = 919/42940 + -9/226. Calculate the common denominator of u and 3/35.
2660
Suppose 47*v + 2008 = 55*v. Suppose -16*o + v + 165 = 0. Calculate the least common multiple of 12 and o.
156
Calculate the common denominator of 13/649 and (50 - 49)*(-147)/531.
1947
Suppose 502 + 705 = 4*v + 5*n, -4*n - 1180 = -4*v. What is the lowest common multiple of v and 1490?
1490
Let g(r) = 3*r - 18. Let d be g(7). Suppose 38 = d*h + 20. What is the lowest common multiple of 4 and h?
12
Let p = -34/35 - -176/63. Let s = -71729 - -7101179/99. Find the common denominator of s and p.
495
Let r = -290 - -3626. What is the least common multiple of r and 216?
30024
Suppose 10*f - 4*f - 38478 = -16*f. What is the lowest common multiple of 3 and f?
1749
Suppose -68 = -6*v + 196. Suppose -c - 9 = 4*l, -2*c - 6 = 5*l - 0*l. What is the least common multiple of c and 7 + (-11)/(v/(-16))?
77
Let n = 12/217 + 10814/651. Let f(d) = 5*d - 15. Let i be f(-18). Find the common denominator of i/(-2)*(-36)/(-243) and n.
9
Suppose -153 = -2*h - 3*l, -2*l = -3*h + l + 267. Let y = 169 + -133. What is the smallest common multiple of y and h?
252
Let b be -1875*(-10)/(-2) - 0. Let a = 56453/6 + b. Let i = -34 + a. What is the common denominator of 95/2 and i?
6
What is the smallest common multiple of -25 + 40 + (0 + -5 - 2) and 31728?
31728
Let m(n) = -2*n**2 - 11*n - 4. Let y be m(-6). Let p be (76/(-20) - -5)*y/(-3). Calculate the least common multiple of p*((-9)/4 + 2)*-2 and 76.
76
Let f(t) = -3*t**2 + 4*t + 95. Let m be f(-10). Let k = 253 + m. What is the least common multiple of (-12)/(-10)*(-20)/(-6) and k?
8
Suppose -m = -2*x + 3, 3*x - 4*m - 4 - 8 = 0. Suppose -4*j = -4*h - 1328, 4*j + 4*h - 625 - 727 = x. What is the common denominator of 49/16 and 2/(j/97 + -3)?
176
Let p(j) = j**3 + 2*j**2 - 3*j + 4. Let u be p(-3). Let v(h) = 3*h - 1. Let f = -2267 + 2268. Calculate the smallest common multiple of v(u) and f.
11
Let d = 1563 + -3279. What is the common denominator of ((-5)/(-15))/(13/d) and -55/3?
3
Let j = -86020/81 - -1062. Let o = 1555/648 - j. Calculate the common denominator of o and 2/4 - (-142)/92.
184
Let g be 37030/(-63945) - ((-22)/14 + 1). Let s = -1321/2088 - g. What is the common denominator of 121/18 and s?
72
Let t be (66/12 + 0 + -5)*4. Suppose 5*c - 1518 = v + 280, 714 = t*c - 3*v. Calculate the lowest common multiple of 2 and c.
360
Let w = -6269/1236 - -135/206. Let y be (-7)/5 + (-4)/(-10). What is the common denominator of (-57)/(-2)*y/(-1) and w?
12
Let m be (-7)/((-154)/565932)*1/(-87). Let t = m - -402/29. Let x = 23711/88 + t. Find the common denominator of x and -52/25.
200
Let r(b) = 8*b + 1. Let s be r(1). Suppose 179 = 21*g - 388. What is the least common multiple of 2/s - (-102)/g and 1?
4
Find the common denominator of (19/(-5))/(116/25) and (-1467)/(-4890) + 251/(-10)*-2.
116
Suppose 14985*x - 8 = 14984*x. Calculate the smallest common multiple of 2 and x.
8
Let y = -81839/69 - -136504301/115092. Calculate the common denominator of y and -59/20.
25020
Let b = -710 + 684. Suppose 0 = 3*d + 2*d + 40. Let w = d - b. What is the least common multiple of w and 4?
36
Calculate the common denominator of -6 + (-17)/(-3)*(-21)/(-18) and -38/2151.
4302
Calculate the common denominator of 3590/2496 + (-2235)/1341 and 41/2184.
8736
Calculate the common denominator of 61/12 and (-8)/(-40) - 1 - 3022/(-2640).
264
Let a = 29 + -17. Let c be -1*(1 - a/(-4)). Let t(b) = 3*b**2 - 4*b + 15. Calculate the smallest common multiple of t(c) and 10.
790
Let u = -276383 - -104472667/378. Calculate the common denominator of u and -48/35.
1890
Let k = 458793/2380 + -3276/17. What is the common denominator of -137/18 and k?
1260
Suppose -3*m - 161 = 2*a - 205, -24 = -a - 2*m. Calculate the least common multiple of 312 and a.
624
Let r = -183014/1575 + 10217398/89775. Let j = r + 160/133. What is the common denominator of j and 46/9?
27
Suppose -2*i - 4*z = 732, -2*z + 331 = -i + 3*z. Let d = 44111/124 + i. Find the common denominator of 27/14 and d.
868
Suppose -4*c = -t - 15 + 5, -5*t + 22 = 4*c. Calculate the least common multiple of 798 and t.
798
Let g = -8442964/6805 + -136/1361. Let w(n) = -n**3 + 6*n**2 - 3*n + 10. Let u be w(-9). Let i = u + g. Calculate the common denominator of 31/8 and i.
40
Let n be (-9 - -33)*2660/3. Calculate the common denominator of 151/48 and 12/(-14) + 4100/n.
912
Suppose 3740 = -26*g + 37*g. Calculate the common denominator of 34/5*g/(-306) and -99/16.
144
Let b(x) = -113*x - 410. Let n(a) = -a**2 + 28*a - 103. What is the least common multiple of b(-6) and n(23)?
804
Suppose 5478 = 153*p + 582. What is the lowest common multiple of p and 110?
1760
Let v = -898 + 943. Calculate the least common multiple of 270 and v.
270
Calculate the common denominator of (-3)/1881*((-8)/(-16) + 1) and 103/88.
1672
Let q = 16971 + -16785. What is the least common multiple of q and 1110?
34410
Let j = -11727 + 13309. Calculate the least common multiple of 1130 and j.
7910
Suppose 2*m - 70 = -2*x, -2*m + 3*x - 760 + 820 = 0. What is the least common multiple of 12666 and m?
139326
Calculate the common denominator of (-24)/20 + -1 + (-23)/(-46) and 5/8.
40
Suppose -2*v + 0*v + 10 = 0. Suppose r + 87 = -0*n + 4*n, v*r = 3*n - 44. What is the common denominator of (n*(-6)/360)/(1/2) and 113/6?
30
Suppose 0 = -5*d - m + 10 + 9, d + 9 = 3*m. Let r = -214 - -252. What is the smallest