and 66.
330
Let w(a) = 2*a**2 - 26*a + 21. Let d be w(12). What is the least common multiple of 3 and (24/(-16) + d)/((-2)/12)?
27
Let p = -54 + 98. Suppose -2*b - 62 = p. Calculate the common denominator of -2 + (2 - b/(-20)) and 71/20.
20
Suppose 222 - 42 = 15*k. Suppose 5*n - x = k, n - 9 = 2*n - 4*x. Calculate the lowest common multiple of 35 and n.
105
Let u(y) = -y**3 + 5*y**2 + 3. Let x = -18327 + 18351. Calculate the lowest common multiple of x and u(5).
24
Let c be (-35)/(-5) - -6*5/(-15). What is the least common multiple of 2/8 - (c + (-161)/28) and 112?
112
Let p = -5354364 - -144609709/27. Let q = -13403333/8640 + p. Find the common denominator of -127/12 and q.
960
Suppose -4*w = -g + 48, -55*g - 240 = -60*g - 4*w. Let a = -16 - -31. Calculate the least common multiple of a and g.
240
Let v be ((-6)/340)/((-4140)/(-368)). Let q be 1 + 0 - 38687/7650. Let b = v - q. What is the common denominator of b and -43/6?
18
Let d be 6/4*14/(-1). What is the common denominator of d/2*(-1)/(-2) and (-91195)/(-3900) - (-8)/(-60)?
4
Let j = 1620 - -627. What is the lowest common multiple of 189 and j?
20223
Suppose 4*m = 5*f + 62, 4*m + 5 = 17. Let a be 1/(2/(-10) - (-330)/1400). Let g = f + a. Calculate the lowest common multiple of 27 and g.
54
Let j(c) = -3*c - 61. Let f be 40/(-5 + 3) - (-3 - -4). What is the least common multiple of j(f) and -3*2/6*-22?
22
Suppose 3*z + x = -3 - 2, 4*z + 20 = 2*x. Let d = -560/9 - -2512/45. Find the common denominator of (15/(-132)*z)/(4/32) and d.
55
Find the common denominator of -7/8 and (15/(-9720)*2)/((4/87)/1).
432
Let b = 2906 - 2566. What is the least common multiple of 136 and b?
680
Let i = -345 - 39. Let b = i - -402. What is the lowest common multiple of (33/12)/(2/16) and b?
198
Calculate the lowest common multiple of (-2)/5*(-735)/(-98) + 93 and 80.
720
Let s(l) = l**3 - 4*l**2 + 8*l - 3. Let z be s(4). Let h(w) = -7*w - z + 3*w + 8*w + w**2. What is the least common multiple of 24 and h(-8)?
24
Let o = -1/672005 + 13574579/52416390. Calculate the common denominator of o and -71/156.
780
Suppose -5*y + 3525 = 5*n, 0*y - 3*n + 1413 = 2*y. What is the smallest common multiple of y and 3 - ((-145)/(-116) + (-65)/4)?
702
Let k = 7579/2 + -3882. Let s be 91/280*297 - 2/16. Let n = s + k. Find the common denominator of n and -149/24.
120
Suppose n + 0 = -4*g - 2, 5*g = 3*n - 11. Let y be 6/((-3 + n - 1)/2). Calculate the common denominator of -17/44 and (-1204)/(-96) + y/9.
88
Let n = 15116 + -15080. Suppose -4*d + 2*o + 24 = -2*d, 2*d + 2*o - 36 = 0. Calculate the least common multiple of d and n.
180
Let d be (0 + 4)/(4/20). Calculate the lowest common multiple of 133 and (-7 + 995/d)*4.
1197
Suppose -5*q + 56 = 6. What is the least common multiple of q and 5830?
5830
What is the common denominator of 18915/(-7480) + 3 + (-63)/168 and 35/187?
187
Let t = -37/325940 - -1236376123/37157160. Let c = -595/19 + t. Calculate the common denominator of c and -101/24.
24
Let y = 1/11045 - 1071377/132540. Suppose -m - 4*g + 562 = 0, 3*m + 3*g - 1322 = 409. Let r = m - 5809/10. Find the common denominator of y and r.
60
Let w = 3990879/85 + -46951. What is the common denominator of (-2 - -3)*-5 - 58/(-4) and w?
170
Let r = 807961/50 + -16161. Let w = -932159/35 + 26631. Find the common denominator of r and w.
350
Suppose 255*h - 297 = 222*h. Calculate the least common multiple of h and 11.
99
Let u = -5147 - -5471. What is the least common multiple of 16 and u?
1296
Suppose -5*w - 3*r + 345 = 0, 4*w - 273 = 2*r - 5*r. Suppose 0 = 4*i - 4*h - w, 0 = -20*i + 24*i + 5*h - 90. What is the least common multiple of i and 38?
380
Let g = -8/41931 + -34553/684873. Find the common denominator of 3/70 and g.
13230
Let n be (-197)/(-38) + (3 - 6). Let d = -293778 + 27908234/95. Let t = n - d. What is the common denominator of -13/14 and t?
70
Suppose 498*r = 798 + 1194. What is the least common multiple of r and 132?
132
Suppose -4*i + 28*k - 24*k + 168 = 0, -k = 2*i - 108. Calculate the lowest common multiple of i and 684.
17100
What is the common denominator of -85/12 and 546/9*840/(-19040)?
204
Let d = 151 - -317. Calculate the lowest common multiple of 780 and d.
2340
Let v = -311 + 583. Suppose 5*b + 2*t - 52 = 0, -3915*b = -3918*b + 2*t + 12. What is the lowest common multiple of v and b?
272
Let n(s) = -s**3 - 7*s**2 - 3*s + 13. Suppose 2*h = -8 - 4. Let j be n(h). What is the common denominator of -34 and ((-2)/(-1) + -4)/j?
5
Let m = 38/147 - 5/588. Find the common denominator of m and -87/2680.
2680
Calculate the common denominator of -37/33 and (14500/(-1815) - -8)/(8/28).
363
Suppose 2*f + 3*f - 2*k - 192 = 0, 4*k + 24 = f. Calculate the common denominator of (93/(-20))/((-48)/f) and (-70)/15*(-36)/32.
8
Suppose 0*z = -z + 20. Let b(y) = -5*y + 53. Calculate the least common multiple of z and b(5).
140
Suppose 8 = -2*o + 2*l - 34, 5*o + 75 = -l. Let u = o - -46. Suppose -u = 23*s - 28*s. What is the lowest common multiple of 2 and s?
6
Calculate the common denominator of 1/90*40650/100 + -5 and 414/(-100) - -1 - -1.
300
Suppose -3*d - 8 = -2*o + 110, 0 = 2*o + d - 134. What is the least common multiple of o and (6/9 - -3)*(7 - 4)?
715
Let d(t) = t + 37. Let w be d(-6). Let i(z) = 2*z**2 - 62*z + 18. Calculate the least common multiple of i(w) and 88.
792
Suppose -4*j - 3*h + 374 + 2091 = 0, 2471 = 4*j - 3*h. Let l = j - 583. What is the least common multiple of l and 58?
986
Suppose 5*l - t = 2075, -t - 736 = 5*l - 2801. What is the least common multiple of 9 and l?
414
Let p(s) = -s - 5. Suppose 26*u = 15*u + 6*u. Suppose 5*z = 3*n - 7, u = -4*n + 3*z - 0*z + 13. What is the smallest common multiple of n and p(-7)?
4
Find the common denominator of (-24)/(-8) - 78/(-10) and (-17)/2*(-6 - (-504)/81).
45
Let j be (-22)/(-77) + (1 - (-172)/(-14)). Let h be (-1)/j*54654/(-4). Let u = 1240 + h. Find the common denominator of 73/2 and u.
22
Let h = -21036 + 21176. Calculate the lowest common multiple of h and 1295.
5180
Let r = 17/6509 + 31939510/58581. Let x = -78317/144 + r. What is the common denominator of 85/42 and x?
336
Let c be (-52)/91 - (-11)/7. Suppose 0 = -q + 2*f + f + c, 3 = -3*f. Calculate the common denominator of -14/3 and (q/15)/(8/(-132)).
15
Let w = -16/635 + 521/1524. What is the common denominator of -83/54 and w?
540
Let o = 2274 + -1884. Calculate the least common multiple of o and 135.
3510
Suppose 20 = 5*r, 58*h - 60*h - r = -116. Calculate the least common multiple of 126 and h.
504
Suppose 2*f = -3 + 21. Suppose -10*k + 69 = -41. Let s = k + f. What is the least common multiple of s and 26?
260
Let s be 11907/392 + 6/(-16). Find the common denominator of (-15 + s)*(-7)/(-44) and -71/28.
308
Suppose 686*p - 679*p = -14. Let y be (-3)/((-3)/(-5)) - 1. Find the common denominator of (-27)/(-34)*p/y and 71/8.
136
Let v = 4/44351 - 4302383/3725484. What is the common denominator of v and -73/756?
756
Suppose -4*u + 765 = 3*b - 135, 2*u + 5*b = 450. Let h(y) = y**3 - 14*y**2 + 13*y + 1. What is the smallest common multiple of h(13) and u?
225
Let c be (-4719933)/1701 + 6/14. Let o = c - -2774. Let p = -2249015/477672 - 1/19903. Find the common denominator of o and p.
216
What is the common denominator of -16/645 and (62878/(-199606))/(12/(-22))?
1290
Let n be 3*6/(-63) - 1527/21. Let r be ((-12)/46)/((-12)/(-6))*n. Let i = -1/46 + r. Calculate the common denominator of i and 13/19.
38
What is the common denominator of -79/117 and (-57309)/62790 + (-6)/(-138)?
1170
Let r = 1043 + -585. Let q = 488 - r. What is the least common multiple of 6 and q?
30
Let z = -1739491/1827 + 8570/9. Calculate the common denominator of 32/203 and z.
609
Let b = 46649627/1436857880 + -2/536141. Find the common denominator of b and 145/1608.
8040
Suppose 0 = -30*l + 32*l + 3*x - 33, -3*x = 20*l - 303. Suppose 2*k + s - 82 = 0, -k = 3*k + 4*s - 160. What is the lowest common multiple of l and k?
210
Suppose -1 = 3*y - 37. What is the common denominator of 372/56 - (-6)/y and 55/14?
14
Let b = 63007700/113 - 557590. Suppose -j = -6*j - 190. What is the common denominator of j and b?
113
Let r = -52 - -74. Let g be 1 - 3/(6/(-44)). Suppose r*o = g*o - 20. Calculate the lowest common multiple of o and 2.
20
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