
Let n(s) = -3*s**2 - 4*s - 7. Suppose -5*i - 8 = 2*w, 0*i - 3*i = -3*w - 12. Let u be n(w). Find the common denominator of -1*u*4/(-48) and 18.
4
Let l = 2 + 1. Let k be -18*(3 - 2) - -4. Calculate the least common multiple of 32*(-12)/56*k/4 and l.
24
Suppose -5*m - 4*k + 2 = 0, 2*m - 2*k + 2 - 10 = 0. Suppose -409 + 445 = m*q. What is the smallest common multiple of q and 24?
72
Let a = -620603/90 + 6895. Calculate the common denominator of a and 59/426.
6390
What is the common denominator of -61/4112 and (-5219)/(-84296) - (-36)/(-738)?
4112
Suppose -2*b = y - 704, 3*y - 41*b = -45*b + 2104. What is the lowest common multiple of y and 1131?
9048
Let w = 210 + -148. Find the common denominator of -64/3 and 12/(-8)*60/w.
93
What is the lowest common multiple of 539 and -2 - (-310)/2 - ((21 - 49) + 27)?
1078
Let g be (2 - 3 - (4 + -10)) + -6. Calculate the lowest common multiple of 68 and (-2 - 3)*(g + 4/(-20)).
204
Let c be (-22)/(-77) + (3685761/161 - -2). Let g = c + -22895. Calculate the common denominator of g and 61/2.
322
Calculate the common denominator of (-12168)/4160*(-12)/(-21) and 101/140.
140
Let x = 258668 - 637099313/2463. What is the common denominator of x and 55/24?
19704
Let d be (1/(3/(-6)))/((-6)/64161). Suppose -5385 + d = o. Let t = 191905/12 - o. What is the common denominator of -51/8 and t?
24
Let q = 13 - 11. Suppose 0 = -4*h + 111 + 13. Calculate the lowest common multiple of (23 + -3)/q + -2 and h.
248
Let h = 527 - 499. Suppose 0 = 5*g - 17 - h. Calculate the smallest common multiple of g and 33.
99
Suppose 23*u + 0*u = 12436 - 11608. What is the smallest common multiple of u and 1006?
18108
What is the smallest common multiple of 44 and (-7440)/100*(-20)/3?
5456
What is the lowest common multiple of 252 and (1242/(-7))/(-3*26/364)?
5796
Suppose -31 = -3*b + 42*r - 44*r, -3*b = 3*r - 27. Suppose -12*d = -5*d - 77. What is the lowest common multiple of d and b?
143
Let m be (-14)/63 + (-529863)/216. Let f = -2455 - m. Calculate the common denominator of f and -73/22.
264
Let l = 151341/380 + -4781/12. What is the common denominator of -83/105 and l?
1995
What is the common denominator of (-2 - 0)*1 + (30 - 372305/13395) and -109/6110?
18330
Suppose 1200 = 4*d - 0*d. Suppose -13*r + 3*r = -d. Calculate the lowest common multiple of 14 and r.
210
Let m = 378 + -351. Let d = 97 - 198. Let f = -41 - d. Calculate the least common multiple of m and f.
540
Let p = -32430 - -1686279/52. What is the common denominator of p and -113/80?
1040
Suppose -2*k - 1 = -2*b + 1, 2*b + 14 = -2*k. Calculate the common denominator of (-52)/12*-5 + (b - -1) and 2*((-3)/56)/(3/(-166)).
42
Suppose 0 = -4*u + 2*u + 8. Let n(z) = z**2 - 4*z + 5. Let m be n(u). Suppose 0 = -m*i - 26 + 41. Calculate the least common multiple of i and 27.
27
Let l = -29 + 25. Calculate the smallest common multiple of -2*(l + 7/(-14)) and 12.
36
Let u be (-33)/154*(-2102)/(-44). Let o = u + 69/11. Calculate the common denominator of -99/14 and o.
28
Let a(b) = -2*b**3 + 4*b**2 + 2*b - 9. Let o be a(-5). Let t = o + -327. What is the smallest common multiple of 112 and t?
112
Let r(y) = -8*y + 612. Let h = -48 - -24. Let j = -10 - h. What is the least common multiple of j and r(75)?
84
Let g = 47489338/347 + -136857. Find the common denominator of -31/11 and g.
3817
Let y = 54539/13090 + -72/595. Let m = 44 + -60. What is the common denominator of y and (268/m)/(5 + -4)?
44
Let p = 2499 + -7471/3. What is the common denominator of p and (282/(-24))/(3/4)?
3
Let o(w) = -3*w**2 + 6*w - 3. Suppose -x = 3*i - 2, -4*i = -4*x - i + 23. Let y be o(x). Calculate the common denominator of 1/16 and 9/54 - 1/y*193.
16
Calculate the common denominator of -34/1059 and (18 - 2350/130)/(3/71).
13767
Calculate the smallest common multiple of 714 and ((0 - 15/(-4)) + -8)/((-1)/264).
7854
Let p = -82065 - -37471. Let g = -3567589/80 - p. What is the common denominator of g and 139/90?
720
Let m = 346 - 167. Let p = 198 - m. What is the smallest common multiple of 7 and p?
133
Suppose w + l - 1474 = 0, -4*w + 57*l + 5968 = 49*l. What is the least common multiple of 10 and w?
1480
Let i be ((-10)/(50/(-9)))/((-1)/(-5)). Let s(r) = 6*r**3 + 2*r**2 - 1. Calculate the smallest common multiple of s(1) and (-10 - 0 - 0)*(-9)/i.
70
Let i(g) = -2*g**3 - 3*g**2 + 4*g + 9. Let x be i(-4). Suppose -185 + 911 = 11*n. Let b = x - n. What is the lowest common multiple of b and 12?
84
Let k = -536/31 - -4939/248. What is the common denominator of (-110)/56 - (-4)/16 and k?
56
Let w = 2138184/221 + -9675. Calculate the common denominator of 129/130 and w.
2210
Let y(s) be the third derivative of s**5/60 - 5*s**4/24 - s**3 + 108*s**2. What is the lowest common multiple of y(-2) and 296?
296
Suppose -3*x - 27945 = 2*x. Let d = 55969/10 + x. What is the common denominator of d and (7 - 3) + 41/(-1)?
10
Suppose 11*u = 9*u - 2*q + 12, 2*u - 20 = -4*q. Suppose 2*i + 3*d = 7*d + 184, -u = d. Calculate the least common multiple of i and 128.
1408
Let w = -352273/45 - -40247/5. Let c = -479/18 + w. Let y = c - 181. Find the common denominator of 103/6 and y.
6
Let a be (-8)/(-20) + 2262739/(-110). Let c = -20574 - a. Find the common denominator of c and 24/256*-2*(188/6 + 4).
88
Let x be 4/8*0 - 0. Suppose x = 4*w - 0*h - h + 12, h = 5*w + 14. What is the smallest common multiple of 4/(-2) + (w - -10) and 46?
138
Suppose 0 = i - 1 + 2, 0 = -2*a + 4*i + 98. Let h = a - 43. What is the smallest common multiple of 148 and h?
148
Let v = -41 + 23. Let z be 18/4*4096/(-96). Calculate the smallest common multiple of (3/2 + 0)/(v/z) and 4.
16
Suppose 3*y - 24 = 3*t, -5*y + 40 = -2*t - 2*t. Suppose 0 = -5*b + 3*z + y + 977, b - 197 = 5*z. What is the lowest common multiple of 4 and b?
788
Suppose -77*k + 71*k = -12. Suppose -k*o = -5*h - 4*o + 324, 0 = o + 3. Let l = -54 + h. What is the lowest common multiple of l and 12?
12
Let t = -398 + 774. Let a = 382 - t. What is the lowest common multiple of a and 1/(-1) + 36 + 1?
36
Suppose -4*r = 3*t - 0*r - 19, 4*t = -4*r + 24. Calculate the least common multiple of -4 - (-1 - t)*(-51)/(-6) and 5.
235
What is the common denominator of (7070/(-27440))/(9/6) and 85/1512?
10584
Suppose 4*p - 4*a + 4737 = -36055, 0 = 3*p - 5*a + 30592. Let d = -305933/30 - p. Calculate the common denominator of -89/14 and d.
210
Let i be 5*(2/2 + 13206). Let c = -5414963/82 + i. Find the common denominator of c and (-1)/24*12*(-6)/(-16).
656
Let l be (-3 - 3)/(-1 + 455/440). What is the common denominator of 11/(11/78)*(-11)/l and -17/146?
584
Let w = 21960 - 41290. Let z = w - -348067/18. Calculate the common denominator of -117/20 and z.
180
Let l = 7240 - 1123. What is the smallest common multiple of 9 and l?
18351
Let q(o) = o**2 + 87*o + 1780. Suppose -5*f = -10 - 5. Let w(a) = 6*a + 2. What is the least common multiple of w(f) and q(-55)?
20
Let s be (-58115)/17154 - (-7 + 2). Let m = 1/953 - s. Find the common denominator of 105/16 - (0 + 2) and m.
144
Let q = -92 - -919/10. Suppose -4 = 2*w - 2*n, -3*w + n = -5*w - 7. Calculate the common denominator of w/18*-51*-1 and q.
10
Let u = 9018266/111045 - 2680/33. Let h = u + 312881/107680. Find the common denominator of 111/44 and h.
352
Find the common denominator of 12/(-54) + 2652/4968 and -49/4.
276
Calculate the common denominator of 3760/(-300) - 4/60 and 27/550.
550
Let f(j) = -3*j**2 - 233*j - 1125. Let z(o) = 43*o**3 - o. What is the smallest common multiple of f(-72) and z(1)?
1386
Let z = -2430 + 19515/8. Find the common denominator of z and (-2 - -2) + (-1735)/400 + 5.
80
Let j(k) = 4*k**2 - 354*k + 1364. What is the least common multiple of (-1 + 0)/((-1)/6) and j(4)?
12
Let f = 12404507/90 - 137826. Find the common denominator of f and 58/81.
810
Suppose 60 = -2*l - 2*l. Let s = -25 - l. Find the common denominator of -57/8 and 5/3*(-38)/s.
24
Suppose -d - 5 = -4*i, -3*i - 8 = -6*i + 5*d. Let w = i - -7. What is the lowest common multiple of 8 and (-9 + w)/(1/(-20))?
40
Let q(o) = o**3 - 5*o**2 - 57*o + 16. Calculate the lowest common multiple of 578 and q(12).
5780
Let x = 1/185504 + 1844983/1865613728. Let d = -13653/148627756 - -18486056869007/12705369407782. Let a = d + x. Find the common denominator of a and 99/