et d = -8 - -9. Suppose -3*g = -s*g + i - d, -2*g + i = -14. Calculate the lowest common multiple of 12 and g.
60
Suppose 14 = p - 2. Calculate the least common multiple of (27 + -29)/((-1)/4) and p.
16
Let l(h) = 12 + 39 + 6*h - 9*h + 2*h. Calculate the lowest common multiple of l(21) and 9.
90
Find the common denominator of 52/57 and 520/(-55)*(1 + 10/(-8)).
627
Let b = -3644 - -87479/24. Find the common denominator of -73/16 and b.
48
Let l = -202685 - -43780087/216. What is the common denominator of l and 127/30?
1080
Suppose 2*b = 3*b - 18. Let x = 2131 - 2128. Calculate the least common multiple of x and b.
18
Let f = 7976/3 + -2648. What is the common denominator of 4/(-6) + 77/24 and f?
24
Suppose 0 = -2*c - 0*c. Suppose 4 = -0*p + 2*p. Let a = p - c. Calculate the least common multiple of a and 14.
14
Let j be (1*8/(-6))/(24/(-828)). Suppose 0 = 4*y + 18 - j. What is the least common multiple of 33 and y?
231
Let r = -24052 - -721373/30. Find the common denominator of r and 326/48 + (-5 - -2).
120
What is the common denominator of -7/342 and (-596)/171*(5 + (-205)/40)?
342
Let n = 43899/11555 - -2/2311. What is the common denominator of n and 23/820?
820
Let o(h) = h. Let l be o(5). Let f be 108/60 + 1/l. Suppose -2*i = 2*x + i - 22, 18 = f*x + i. What is the smallest common multiple of x and 4?
8
Let g = 5369 - 11055/2. Suppose -4*k + k + 531 = 0. Let l = g + k. Find the common denominator of 32/19 and l.
38
Suppose 0 = 2*u + 4*p - 16, -4*u - p - 242 = -253. Suppose 0 = -2*c + 249 + 227. Calculate the lowest common multiple of u and c.
238
Suppose -s + 1 + 4 = 0. Suppose n = -5*a + 2*a + 2, 3*a + 10 = s*n. What is the lowest common multiple of 20 - a*(-1)/(-2) and 14?
140
Suppose 10 = -2*s + s. Let h = -7 - s. Suppose -2*k = k - h. What is the smallest common multiple of k and 6?
6
Let m = 1247/150 + 1/50. What is the common denominator of m and -29?
3
Calculate the common denominator of ((-4)/2)/((-72)/82) and ((-2)/8)/((-138)/(-76)).
414
Let j = -62 - -72. Calculate the least common multiple of 9 and j.
90
Suppose -3*c + 80 + 110 = -2*p, 5*c + p = 321. What is the common denominator of -23/18 and -1 + 5 - (-104)/c?
72
Suppose 0 = 4*k - 12, 1261 = q - 3*q + 3*k. Let p = 2445/4 + q. Calculate the common denominator of -65/12 and p.
12
Let q(d) = -6*d + 288. What is the smallest common multiple of q(44) and 36?
72
Let c = -456 + 496. Let v = 24 - 16. Calculate the least common multiple of c and v.
40
Suppose -11*c + 32 = -408. What is the least common multiple of c and 32?
160
Let t(f) = 3*f - 1. Let o be t(20). Let s = 111 - o. What is the lowest common multiple of s and 10?
260
Let p be ((-2)/(-102))/((-22)/(-78075)). Let t = 1227/17 - p. Calculate the common denominator of t and -77/2.
22
Find the common denominator of 2*((-2)/4)/((-42)/1491) and -14/213.
426
Let n be (4/(-3))/(8/192). Let f = n - -36. What is the smallest common multiple of 4 and f?
4
Let w = 52131 - 3544977/68. Find the common denominator of w and 111/28.
476
Let x = 83/40 - 9193/3640. What is the common denominator of -3/8 and x?
728
Let b(x) = -2*x + 7. Let p be b(-7). Suppose -p*u + 8 = -17*u. Calculate the lowest common multiple of 26/10 + 2/5 and u.
6
Suppose 4*v + b - 28 = -3*b, 0 = -v + 4*b + 2. What is the common denominator of -101/2 and 1/(v/4) + 218/(-36)?
18
Suppose 4*d = 4*f - 28, 0 = -0*f + 4*f - 3*d - 23. Let n(v) = -6*v**2 - 2. Let k be n(f). Let a = k - -30. Calculate the smallest common multiple of 16 and a.
16
Let r = -126 - -99. Let h = 57 + r. What is the lowest common multiple of h and 18?
90
Let z(l) = -2*l - 30. Let c be z(-18). Suppose -c*q + 4*q = -22. What is the smallest common multiple of q and 5?
55
Suppose 153 = -z + 225. What is the lowest common multiple of 3 and z?
72
Calculate the common denominator of 61/68 and -5 + (-4 + 14)/((-48)/(-69)).
136
Let d(r) = -2*r**2 + 9*r**2 - 2*r + r**2 + 1. Let a be d(1). Suppose 4*n = 4 + 8, -a = 4*o - 5*n. What is the lowest common multiple of 5 and o?
10
Suppose -p - 12 + 62 = 0. What is the lowest common multiple of p and 40?
200
Let r(x) = 18*x**3 - 2*x**2 + 2*x + 2. Calculate the smallest common multiple of 14 and r(2).
994
Let w = -20 - -22. Suppose w*o = -3*o - 10. Calculate the least common multiple of -4 + 3 - (-3 + o) and 8.
8
Let f(u) = u**2. Let t be f(-2). Let c = -41 + 53. Suppose t*x = x + c. Calculate the least common multiple of 8 and x.
8
Suppose -2*j - b = 5 + 7, 4*b = -2*j - 18. What is the smallest common multiple of 8 and j - (-40)/5 - 4/(-1)?
56
Let h(t) = 47*t + 286. Calculate the smallest common multiple of h(-6) and ((-2)/(-4))/(1/6).
12
Let q be -2 + ((-78)/(-3) - 2). Suppose 2*f + q = 4*f. What is the lowest common multiple of 14 and f?
154
Let a = -1062052093/22 + 48250068. Let u = -25023 - a. Calculate the common denominator of 1 - (-82)/40*-1 and u.
220
What is the common denominator of -47/110 and 7/(-11)*(-76)/(-24)?
330
Let r(p) = p**2 + 26*p + 150. What is the smallest common multiple of 2 + 17 - 0/1 and r(-18)?
114
Suppose -4*r - 2*u = -396, u + 0*u + 99 = r. Calculate the lowest common multiple of 6 and r.
198
Let t = -7750 - -4670. Let i = t - -18539/6. Find the common denominator of i and 3/8.
24
Let f(o) = 5*o**3 + 3*o**2 - 5*o. What is the lowest common multiple of 9 and f(2)?
126
Let y = -29 + 17. Let b be 9/54 - (-36170)/y. Let g = b + 48147/16. Find the common denominator of g and 127/6.
48
Let l = 315294185/4 - 5362871843/68. Let j = l - -42213. What is the common denominator of j and -17/2?
34
Let i(x) = x**3 + 6*x**2 - 2*x - 11. Let r be i(-6). Find the common denominator of 15 and r - -3 - (-1001)/(-315).
45
Calculate the common denominator of -23/2 and (-40)/48 + (-163)/(-48).
16
Calculate the common denominator of 10/((-900)/(-27))*(-118)/(-30) and -42/25.
50
Let x(z) = -4*z**2 + 52*z - 10. Calculate the least common multiple of x(12) and 2.
38
Let b(k) = -k**2 + 6*k + 24. What is the lowest common multiple of b(0) and 44?
264
Let t = -7 - -10. What is the lowest common multiple of 9/2*16/6 and (20/t)/((-6)/(-9))?
60
Let t(p) = -3*p + 4. Let h be t(4). Let r = 28 + -40. Let c = h - r. What is the least common multiple of 10 and c?
20
What is the common denominator of 5 - (458/40 - (-24 - -31)) and 31/70?
140
Suppose 0 = 89*p - 110*p + 1323. Calculate the least common multiple of 11 and p.
693
Let m be -172*108/(-16)*4/6. Let d = m + -30248/39. Calculate the common denominator of d and 1/30.
390
Let j = -146 - -154. Calculate the smallest common multiple of 78 and j.
312
Let i(k) = -k**2 + 5*k - 2. Let y be i(3). What is the common denominator of (-1)/y - (-286)/(-33) and -89/8?
24
Let y = -7573805/8 + 947965. Let d = y + -1241. Calculate the common denominator of 33/4 and d.
8
Suppose 2*a + 3*a = -460. Let l be (3 - a/(-12))*3. Find the common denominator of 31/22 and ((-357)/l)/(11*-1).
22
Suppose 10861 = 48*f + 877. What is the least common multiple of 260 and f?
1040
Let t = -1/266 - -10777/1064. Let d = 10/9 - -68/9. Find the common denominator of t and d.
24
Let s = 235247/170 - 6923/5. Find the common denominator of -13/8 and s.
136
Suppose -24 - 26 = -10*t. Calculate the common denominator of 0 + t + -1 + 731/(-150) and -143/6.
150
Let p = 68399/10 + -6831. Let d = 3639/5 + -736. Find the common denominator of p and d.
10
What is the least common multiple of 63/36 + 9 + 2/8 and 55?
55
Let a = -114407633/969 + 2255568/19. Let w = a + -646. Find the common denominator of w and -65/3.
51
Let t be 2*2/(-4) + -2. Let o = -3569/2 - -1824. Find the common denominator of t/(-15) + (-2)/10 and o.
2
Let c be 6 + 0 + (1 - -1)*-1. What is the smallest common multiple of (-1 + -4)/(c + -5) and 9?
45
Let g(v) = -9*v - 21. What is the smallest common multiple of g(-6) and 33?
33
Let f = 4/5 + 53/15. What is the common denominator of -31/2 and f?
6
Let h(o) = 8*o**2 + 5*o - 4. Let p(l) = 39*l**2 + 25*l - 19. Let g(t) = 11*h(t) - 2*p(t). What is the lowest common multiple of 8 and g(2)?
88
Let l be (2/((-4)/10))/(33/13695). Let k = -6154/3 - l. Calculate the common denominator of k and -1/132.
132
Let g(m) = 3 + 1166*m**2 - 1 - 393*m**2 - 385*m**2 - 387*m**2 - 2*m. Let r be 1*(-3)/(3/(-2)). What is the least common multiple of 5 and g(r)?
10
Let x = 