et o = 41395/7 + -5916. Calculate the common denominator of s and o.
1575
Let z(q) = -q**3 + 10*q**2 - 17*q + 8. Let i be z(8). Suppose f + 5*f - 168 = i. Calculate the lowest common multiple of f and 7.
28
Suppose -489*m + 496*m - 1820 = 0. Calculate the least common multiple of ((-65)/m)/(-1 + (-43)/(-44)) and 430.
4730
Let d(l) = 10*l**3 - 6*l**2 + 8*l. Let i be d(4). Let q be 9917540/242738*56/i. Let s = q - -2/121369. Find the common denominator of 64/27 and s.
108
Let k be 9/(6 - (-105)/(-14)). Calculate the lowest common multiple of (-8 - -3)*1/(3/k) and 48.
240
Let k = -483 - -487. What is the lowest common multiple of k and 277?
1108
Let y = -9464238293/671 - -14104680. Let m = -80/61 - y. Calculate the common denominator of 127/110 and m.
110
Let g be -14 + 19 - (-279)/(-57) - -1. Let m = -701/342 + g. What is the common denominator of m and 23/12?
36
Calculate the common denominator of 5/(-4) + 780/1040 + 186/200 and 36/320*44/5.
100
Let u be (-1)/((2/28)/((-7)/(-14))). Let m(n) = -n**2 - 7*n + 6. Let b be m(u). Calculate the lowest common multiple of (-7 + 14)*b/7 and 27.
54
Let c(h) = 6*h + 49. Suppose 0 = -2*r + 4*r. Calculate the smallest common multiple of c(-6) and (-2)/(r - -2) + 10.
117
Let m(h) = -h**2 - 10*h - 6. Suppose 479 - 11 = 9*s. Suppose -5*i + 2*q = -2*i - 54, 4*i + 4*q - s = 0. What is the smallest common multiple of m(-8) and i?
80
Suppose 106 = 5*k + 6*s - 2*s, 21 = k + s. Suppose 9*z = 8*z + k. What is the least common multiple of (-4 - 12)/(-4) - 2 and z?
22
Let d be 1*7*3/3. Suppose 0 = -100*b + 132 + 68. What is the smallest common multiple of (-3 - 2*-3) + d and b?
10
Let r(v) = 29*v**2 - 54*v + 185. Calculate the smallest common multiple of r(5) and 384.
1920
What is the common denominator of 116/(-957)*(0 + 1 + -28) and ((-10)/(20400/290))/((-2)/18)?
748
Suppose 0 = 3*z - 3*u + 989 + 1000, 4*z - 2*u + 2650 = 0. Let r = 664 + z. Let l(i) = 2*i**2 + 5*i - 3. What is the least common multiple of l(-4) and r?
18
Let m = -174797/15 - -11647. Let z = 4/2283 + 93383/125565. Find the common denominator of z and m.
165
Let d = -471 - -480. Let x be 54/6*(1 + 0). Calculate the least common multiple of (-15)/((-12)/d + 3/x) and 3.
15
Calculate the common denominator of (46 - -1)/(2067 - (-391)/(-23)) and -71/656.
16400
Calculate the common denominator of 1/870 and -9 + 1 + ((-22923)/(-360))/9.
3480
Let q = -345 + 340. Calculate the common denominator of 27/182 and (-493)/(-116)*2/q.
910
Calculate the common denominator of 103/760 and (1/(-380))/((-4704)/(-756280) - 2/(-37)).
8360
Find the common denominator of 9 - 3/((-31080)/(-92743)) and -17/111.
4440
Suppose 195089 = 5*h - 2*m, 39034 = h + 21*m - 16*m. Let j = h + -9598709/246. Find the common denominator of j and 29/9.
738
Let n = -21756 - -23356. Calculate the least common multiple of 320 and n.
1600
Find the common denominator of (6/14)/(675/350) and -131/324.
324
Let y = 237 + -233. Let k be (4 - (2 + -1) - 0)*1. Suppose -k*u = -2*q - 19, 3*q + 25 = -2*q. What is the smallest common multiple of y and u?
12
Suppose v = -5*t + 7524, -6*t + 9*t + 22590 = 3*v. Let o = v - 707711/94. Calculate the common denominator of -13/16 and o.
752
Suppose 0 = 23*r - 33*r + 200. Let p(x) = 33*x. Calculate the least common multiple of r and p(2).
660
Let k(m) = 10*m**2 + 328*m - 974. Calculate the least common multiple of 75 and k(3).
300
Suppose 0 = 2*l - v - 995, 3*l - 1468 = -185*v + 190*v. What is the lowest common multiple of 33 and l?
5511
Calculate the common denominator of 41/2808 and 10094/(-11760)*5/((-780)/(-8)).
14040
Let h(x) = 23*x**2 - x - 27. Let q be h(-4). Let n = q - 6829/20. Find the common denominator of n and 87/20.
20
Let a = 290 + -180. Suppose -105*x - 135 = -a*x. Calculate the lowest common multiple of 6 and x.
54
Let d be ((-2 + -2)/(-12))/(3/315). Let r = -23 + d. Calculate the least common multiple of 6 and r.
12
Suppose 44 = 2*d - 3*h - 139, -213 = -2*d - 3*h. What is the smallest common multiple of 160/6 - 2/(-6) and d?
297
Let r(w) = 361*w - 6. Let c be r(-7). Let o = c + 7525/3. Find the common denominator of o and 329/(-6)*36/504.
12
Let d = 5114 - 112427/22. What is the common denominator of d and (-37506)/(-1064)*((-55)/(-57) + -1)?
418
Suppose 0 = -2*q + 5*f + 129, 205*f - 159 = -2*q + 204*f. Suppose 12 = -d + 54. Calculate the least common multiple of q and d.
462
Let u(q) = -4*q**2 - 61*q - 174. What is the least common multiple of 72 and u(-10)?
72
Suppose r - 4*r + 4*y - 4 = 0, -5*r + 5 = 5*y. Suppose r = 21*m - 15*m - 24. Calculate the smallest common multiple of m and (2 + (-44)/(-4))*2.
52
Let a(g) = -114*g + 198. Let o be a(17). What is the common denominator of 6/(-10)*o/2328 and -65/14?
1358
Let q(s) = -3*s**3 + 2*s**2 - 5*s + 6. Let p be q(5). Let u = -12002 + 12022. Calculate the smallest common multiple of u and (-4)/(-22) - p/44.
40
Let j be -1 - (0 - 7/1). Let y(s) = 2*s**2 - 8*s - 2. Suppose 159 + 201 = 6*f. What is the smallest common multiple of y(j) and f?
660
Let x = -6 + 13. Let o(j) be the third derivative of 3*j**6/40 - j**2. Calculate the smallest common multiple of x and o(1).
63
Let y = -234/131 + 23153/6288. Calculate the common denominator of -45/1232 and y.
3696
Suppose 2*b - 1091 = 3*y - 277, 5*y - 10 = 0. Calculate the smallest common multiple of 410 and b.
410
Let d = -5249/372 - 7/124. Let s = 126 + -234. Calculate the common denominator of (-16)/s*(-46)/8 and d.
54
Suppose -3*a - 5*a = 344944. Let i = a + 1724617/40. Find the common denominator of 71/80 and i.
80
Let a(v) = 3*v**2 - 7*v + 5. Let d be a(-10). What is the common denominator of (-12)/(-30)*(-1365)/24 and (30/d)/((-2)/10)?
20
Find the common denominator of -15/238 and 2330/(-816) + 100/30.
952
Let x = 1371 - 1281. Let k(r) = r**2 + 12*r - 31. What is the least common multiple of k(-17) and x?
270
Let c = 13613/8 + -2708877/1592. Find the common denominator of -39/22 and c.
8756
What is the common denominator of 139/180 and (23 - 22)*(-931)/(-1680)?
720
Suppose 4 = 2*b - 2. Let f = 1157/54 + 29/27. What is the common denominator of (-2158)/508 - (-1 - b) and f?
254
Let f be 32 + -3 + 4 + 5 + -5. Suppose 816 = f*k + k. Calculate the smallest common multiple of 72 and k.
72
What is the least common multiple of 39 and ((-9360)/(-84))/(20/70)?
390
Let h = -421/252 + 15/7. Calculate the common denominator of 5/6 and h.
36
Let p(c) = -c**2 + 89*c - 240. Calculate the lowest common multiple of p(3) and 768.
2304
Suppose -2156 = 22*u - 11*u. Let f = u - -218. What is the least common multiple of 96 and f?
1056
Suppose -5*w + 41 = 2*g + 2*g, -4*g - 4 = 0. Let q = w + -5. Let x = -18782 - -18785. What is the smallest common multiple of q and x?
12
Let l = -621 + 641. Suppose 2*z = 6, 66 = l*k - 18*k - 2*z. What is the smallest common multiple of k and 8?
72
Let p = 35488433/536890 - 2/268445. Let z = p + -1383/20. What is the common denominator of -83/64 and z?
320
What is the smallest common multiple of ((-120)/84)/(35/(-49)) and 582?
582
Let k(w) = 147*w - 6. Let b(x) = 439*x - 17. Let d(a) = 4*b(a) - 11*k(a). What is the lowest common multiple of 22 and d(6)?
9152
What is the common denominator of -63/10 and (-4)/22 + (-5)/(10872840/(-398412))?
82370
Suppose 11 = -4*w - 5. Calculate the common denominator of (-30)/12*91/25 and -1*((-7217)/(-294) + w/(-14)).
30
Suppose -3*r - r = -8, -4*r + 14 = 3*g. What is the lowest common multiple of ((-22)/1)/(-15 + 515/35) and g?
154
Let t(o) = o**3 + 27*o**2 + 25*o - 4. Suppose 10*a = 8*a + 28. What is the smallest common multiple of a and t(-26)?
154
Let l be 9/4*(-16)/(-3). Let q be (-36 - (-1)/1)*l/(-14). Find the common denominator of 25/36 and -1 - ((-157)/q - -2).
180
Let h(x) = -16*x - 38. Let a be (0/5 - 4)*2. Let k be h(a). What is the lowest common multiple of 12 and 36/k + 548/5*1?
660
Let q = 244 + -201. Suppose n = -3*n - v + q, 21 = 3*n - 3*v. What is the smallest common multiple of 80 and n?
80
Suppose -12*o = -16*o + 4*u + 4720, 0 = 2*o - 5*u - 2360. Calculate the least common multiple of o and 944.
4720
Suppose 54*h - 49*h = 275. Suppose -h*r + 70*r = 1140. What is the smallest common multiple of r and 76?
76
Let s be 1995 - (-4 - (4 + -4 - 4)). What is the common denominator of 51/8 and 2/7