uppose -3857*h + 1580 = -3852*h. What is the lowest common multiple of h and -1*9*(-46)/23?
2844
What is the common denominator of 86/63 and (-6)/(-20)*976/144?
630
Let v(n) = -178*n**2 - 2*n. Let s be v(1). What is the common denominator of 74/9 and 175/s - ((-30)/(-8))/(-5)?
9
Let s = 6150 + -2638349/429. Let b = 6892158033/715 - 9639384. Let h = b + s. What is the common denominator of 29/24 and h?
120
Calculate the common denominator of (-12)/(-47643)*(-3318)/316 and -59/3.
47643
Let q = -14083 - -14089. Let a(z) = 35*z**2 + z. Let n be a(1). Calculate the least common multiple of ((-2)/q)/((-4)/n) and 3.
3
Let s = 18340 - 72763/4. Let y = -152 + s. What is the common denominator of y and 4/(-18) - 43/18?
36
Suppose 0 = 4230*o - 4235*o + 20. Let x(m) = m**2 - 2*m. Let v be x(2). Suppose v*l = -3*l + 54. Calculate the least common multiple of o and l.
36
Let w = 9 - 9. Suppose 0 = 3*y - 3*q - 48, -2*y - 2*y + 5*q + 66 = w. Let k = 15 - -7. What is the least common multiple of k and y?
154
Let a = -186683/17992 + 2/2249. Let y = 707 + -1187. Let k = -3859/8 - y. What is the common denominator of a and k?
8
Let a = 4 + -8. Let b = 122739 + -122728. Calculate the smallest common multiple of 0 + -2 - (a + -2) and b.
44
Suppose -q - 3*z - 142 = -58, 4*q - 2*z + 364 = 0. What is the smallest common multiple of (-8*1)/(-3*(-6)/q) and 16?
80
Let r = -1/543 - 7055/2172. Find the common denominator of 45/52 and r.
52
Let o be (9/27)/(1/12). Suppose -251 - o = -5*h. Let v(r) = -r**3 + 6*r**2 - 4*r + 1. What is the lowest common multiple of v(2) and h?
153
Calculate the common denominator of ((-434)/441 - -1)*9153/1026 and 27/16.
6384
Let h = 1143596 - 107500769/94. Let r = h + -14/47. Find the common denominator of ((-8)/(-6))/(344/(-3956)) and r.
6
Let f = -15908 + 3770204/237. Let c = f + 2875/1422. Calculate the common denominator of c and (18 + -36)*14/(-16)*1.
36
Let g(x) = 2*x**3 - x**2 + 4. Let v be g(0). Suppose 3*c + 49 = 2*h, v*h + 5*c - 77 = 4*c. What is the smallest common multiple of h and -4*(-1*2)/((-8)/(-20))?
20
Let t be 42/42 + (-3086)/(-5460). Let b = 43/30 - t. What is the common denominator of 20/39 and b?
273
Let l = -142 - -78. Let o(r) = r**3 + 6*r**2 + 3*r - 2. What is the least common multiple of o(-5) and 6 - (l/(-24) - 6/9)?
8
Suppose -3758 = 7*j + 5062. Find the common denominator of (-3)/(-7) - 9190/j and 74/3.
18
Let u(p) = -p - 259*p**2 + 3 + 261*p**2 - p. Calculate the smallest common multiple of 23 and u(1).
69
Let u(g) = -726*g - 4942. Calculate the lowest common multiple of u(-7) and ((-112)/20)/((-3)/45).
420
Let d = 477235 + -249116575/522. What is the common denominator of -71/464 and d?
4176
Suppose -n + h = -659 + 86, -4*n + 5*h = -2291. Let i be (n/(-56))/((-2)/(-8)). Let g = i - -69. What is the lowest common multiple of g and 16?
112
Suppose 5*r + 1404 = -3*g, -2*g = 2*r - 4*g + 568. Let c be 2/(-5) - (-5 - r/(-30)). Calculate the common denominator of ((-133)/(-42))/(c/(-18)) and -123/10.
70
Let h = 43718279/432 - 101200. Calculate the common denominator of -71/309 and h.
44496
Let d = 121 + -117. Let j = 8 + -12. Calculate the common denominator of j and (d/36)/(13/208).
9
What is the lowest common multiple of 1 + 200 - 18/30*10 and 5?
195
Suppose -2*r = -59*k + 55*k + 63704, -79633 = -5*k + r. Calculate the least common multiple of k and 4.
63708
Let s(f) = -f**2 + 5*f - 3. Let t be s(5). Let r = 178751/15 - 11911. Find the common denominator of r and (-2 - 745/(-420))/(t/6).
210
Let l = 1580653973/84 - 18818222. Let o = l - -3637/4. Find the common denominator of o and 22/(-12)*(-18)/16.
336
Suppose 6*d = 2*d - 16. Calculate the common denominator of (-133)/9*((-376)/56 + 7) and d/(-18) - (-201)/27.
9
Suppose 5*g - 5*n = 29485, 0 = 5*g - 2*g + 2*n - 17671. Let a = -82535/14 + g. Find the common denominator of 101/20 and a.
140
Suppose -5*d = -2*d + 2*p - 14572, 5*d + p = 24268. What is the lowest common multiple of 36 and d?
43668
Calculate the common denominator of 1/(-1) - -6 - (-78)/24 and (6/(-13))/(-3) + (-134)/26.
4
Let r(z) = -z**2 + 4*z - 21. Let y be r(8). Let s = y - -59. Suppose s = 3*a - 6. Calculate the lowest common multiple of a and 22.
44
Let t(s) = s**3 + 11*s**2 + 11*s - 25. Let i be t(-8). Suppose 5*a + 6 - 21 = 0, 0 = -4*o + 3*a + i. What is the smallest common multiple of o and 18?
198
Let x(o) = o**2 + 103*o - 985. What is the least common multiple of x(-120) and 8?
8440
Let w = -429 - -294. Let a = w - -273. Calculate the common denominator of 23/4 and (3/10)/(a/(-1817)).
20
Let q = 3185 - 15978/5. Let l = -727/45 - q. What is the common denominator of -33/145 and l?
1305
Let b = -85187/18424 + -3/2303. Let r = 75832/17 + -4462. What is the common denominator of r and b?
136
Let q(i) = 8*i + 27. Let w(j) = 7*j + 26. Let k(u) = -4*q(u) + 5*w(u). Let a be k(-6). Find the common denominator of (-380)/55 + a + 1 and -31/41.
451
Let t = -80 + 118. Suppose -64 = -39*r + t*r. Suppose i - 9*i = -r. Calculate the lowest common multiple of i and 11.
88
What is the common denominator of 117/230 and (-23934)/4140 + 10 + -4 + 0?
690
Let j be 21/(-3) + ((-25)/5)/(-1). What is the lowest common multiple of 71 and j/(8/(4 + -8))?
71
Find the common denominator of (-411701)/1374366 - 3/(-14) and (-157)/45 + 2/9.
645
Find the common denominator of (1/2)/(2/55) and (-23 + (-19350)/(-840))/(12/(-42)).
8
Let r(x) = x**3 - 14*x**2 - 8. Let d be r(16). Suppose -4*j + 0*j = -d. What is the common denominator of (-6)/(-21) - (-349)/j and 13/14?
126
What is the common denominator of ((-121)/(-220))/((-472)/180) and -31/177?
1416
Let n = -7 - -34. Suppose -4*l + n = -37. What is the smallest common multiple of l and (2*3)/(51/136)?
16
Let l = 54 - 36. Let d = 2562 + -2536. Suppose d*y = 23*y + l. Calculate the lowest common multiple of 3 and y.
6
Let t be -5*((-315)/25 - -5). Suppose -t = -13*h + 11*h. Suppose 16*n = h*n - 30. Calculate the lowest common multiple of n and 5.
10
Let s be (-2)/(-5) - 6903/17145. Let i = -128/381 - s. Find the common denominator of -17/3 and i.
3
Suppose 3*s - 36 + 45 = 24. Suppose 0 = -w - 4*v + 15, -7*w - 4*v + 120 = -3*w. Calculate the least common multiple of w and s.
35
Let g be (12/15)/(6/(-75)). Calculate the common denominator of 1/36 and (58/(-22) + 3)/(g/100).
396
Let i(w) = -2*w**3 - 3*w**2 - 5*w. Let l be i(-4). Suppose l = -103*n + 108*n. Calculate the smallest common multiple of n and 16.
80
Let b = 38526 + -1155923/30. What is the common denominator of (-423)/(-280) - (-6)/(-21) and b?
120
Let y = 199 - 198. Suppose 3*c = 4*m + 24, -2*c = 3*m + y - 0. Let u = 1 + 21. What is the smallest common multiple of c and u?
44
Let o(w) = -w + 19. Suppose 5*b + 17 = 57. Let p = 2465 - 2455. Calculate the least common multiple of p and o(b).
110
Let k = -15/3203 + -262061/124917. What is the common denominator of 2/(-2) - 34/18 and k?
117
Suppose 2*v + 3*u = 595, 2*u - 27 + 21 = 0. What is the smallest common multiple of v and 11?
3223
Let v(r) = 9*r - 22. Let n be v(4). Suppose -18 = -11*a + n*a. Calculate the common denominator of (3 - (-414)/(-84))*22/a and 21/4.
28
Let q = 86084 + -86054. Calculate the lowest common multiple of q and ((-3)/4)/(1/(-76)).
570
Let l = 1215643/57 - 21326. Calculate the common denominator of l and 65/1197.
1197
Calculate the common denominator of ((151788/(-2052))/13 - 2) + -2 + 10 and 70/549.
10431
Let c = 29 + -15. Find the common denominator of 38/((-12350)/(-65))*(6020/(-24))/7 and 4/c - (-1227)/189.
18
Find the common denominator of (-44)/(-18)*((-585)/(-36) + -11) and 39/72 + 1 + 1.
24
Let t(r) = 2*r**2 - 39*r - 16. Suppose -p = 3*l - 61, -5*l = 4*p - 111 - 0. Let q be t(l). Find the common denominator of 10/q + 13/(-2) and 27/10.
70
Let y = 33928 + -18490754/545. Let n = 45379/13080 - y. Find the common denominator of n and 28/27.
216
Calculate the least common multiple of 334 + 0 - (4 + -9 + -1) and 714.
7140
Let r = -18438 - -18465. Suppose -t - 2*w = -31, 0 = -5*t - 2*w + 4*w + 131. What is the least common multiple of t and r?
27
Suppose -11*z = -11 - 44. Suppose -15 + z = -5*g, 5*b - 173 = -4*g. Calculate the least common multiple of b and 27.
297
Let p be 5/(-3 - -3*44/24). Suppose p*i + 490 = 570. What is the least common 