2. Let g(m) = -m**3 + 15*m**2 - 19*m + 79. Let w be g(14). What is the least common multiple of t(w) and 78?
78
Find the common denominator of 1361/(-240) - (-18)/(0 + 3) and -51/400.
1200
Let a(h) = h**3 + 4*h**2 - 3*h + 17. Let w be a(-7). Let s = -46 - w. Let v = -87/2 + s. Calculate the common denominator of 9/2 and v.
2
Let u(d) = -d**3 + 2*d**2 + 29*d - 61. What is the smallest common multiple of u(5) and 1464?
4392
Let r = 10431749/15 + -696711. Let o = 1263 + r. Calculate the common denominator of o and (73/6)/(3/2).
45
Let i = 46695 + -8498557/182. Calculate the common denominator of 137/6 and i.
546
Let q(a) = -6*a - 12. Let z be q(-10). What is the common denominator of z/(-544)*(-2 + (-20)/9) and -149/6?
102
Suppose 448 = 4*p + 4*n, -4*n = -3*p + n + 312. What is the least common multiple of p and 112/18 - ((-120)/(-108))/5?
654
Suppose -5*y - 33*q + 28*q + 150 = 0, 0 = -y + 3*q + 18. Calculate the common denominator of 1/(-7) + (111699/3920)/y and 55/72.
720
Suppose 0 = -5*q - 5*r + 640, 3*q + r = 322 + 60. Suppose q = 4*x + 5*n, 2*x + 5*n - 72 + 1 = 0. What is the lowest common multiple of 28 and x?
28
Let p = -3368009/15039774 + -2/26953. What is the common denominator of p and -109/12?
1116
What is the common denominator of (-73)/(-10) + 0/2 and 20/3*((-9)/(-168))/(16/840)?
20
Let r = -12186/5 + 365599/150. Find the common denominator of -37/50 and r.
150
Suppose 0 = 8*y - 10 - 6. Suppose 0*l - y*l = -2*h + 14, -h = l - 13. Calculate the smallest common multiple of 11 and h.
110
Let k = 57 + -37. Suppose -7*l + k = -3*l. Suppose 2*f = 2*o - 14, -o + 5*o + 2*f = 46. What is the least common multiple of o and l?
10
Let r = -1052/117 + 10/13. What is the common denominator of -34/39 and r?
117
Let t(v) = -v. Let c(i) = 9*i - 1. Let p(r) = -c(r) - 4*t(r). Calculate the smallest common multiple of 3 + 17 - 7 - 6/2 and p(-1).
30
Find the common denominator of (-1*3/(-4))/(((-51216)/(-836))/(-97)) and 2/(-9) + 698/(-288).
48
Calculate the smallest common multiple of (-5)/(12/(72/(-15))) and 860.
860
Find the common denominator of 9/55 and (14/(-315))/(((-16896)/(-1660))/8).
11880
Suppose 3*m - i - 151 = -111, 4*m - 48 = 2*i. What is the least common multiple of m and (-1)/(-4) + 159/4?
80
Suppose 2*c = r + 1, 7*c + 3 = 2*r + 4*c. Let z = -71 + 75. Suppose 0 = -z*y - 3*y + 49. Calculate the least common multiple of r and y.
63
Let p = 1391 - 1383. What is the lowest common multiple of p and 492?
984
Let y be (-5 - 0 - 52/(-12))*-9. What is the common denominator of 78/(-16)*((-30)/6 + y) and 91/16?
16
Suppose 7700 = -2228*b + 2278*b. Calculate the least common multiple of b and 385.
770
Let r(l) = -2*l**2 + 31*l - 99. Let u be r(11). Let x(i) = i**2 - 21*i + 4. Calculate the lowest common multiple of 65 and x(u).
260
Suppose 5*x = -3*d + 2*x + 12, -3*x = -4*d - 5. Find the common denominator of (-18)/30 - (-3905)/300 and (87/(-28))/(-10 + d).
84
Let l = 40447/23 - 1698631/966. Calculate the common denominator of l and -109/1288.
3864
Let p(m) be the second derivative of -m**5/20 + 3*m**4/2 - 5*m**3/2 + 5*m**2 - m + 6. What is the smallest common multiple of p(17) and 11?
44
What is the common denominator of 14/(-2) - (-291120)/41688 and -41/87?
50373
Let l = -1/19916 - 17417/189202. Find the common denominator of l and 103/172.
3268
Suppose 25*j - 307 - 33 = -9*j. Suppose 0 = s + 2, -5*s = 3*h - 170. Calculate the least common multiple of h and j.
60
Calculate the common denominator of (25/((-2125)/51))/(-1 - (-87)/135) and -119/20.
80
Let n(b) = b**2 - 6*b + 24. Suppose -f - 2*f = 5*a - 8, -5*a = 5*f. What is the smallest common multiple of n(a) and 72?
144
Let g = 5640/11 + -586681/1144. What is the common denominator of g and -1 + 1 - 4459/(-4732)?
104
Let c be (-1)/(-3) + 207/27. What is the smallest common multiple of 11/((-44)/(-168)) - c and (-81)/(-4) + 2/(-8)?
340
Suppose 0*w = -w + 22. Let m be 8778/273 + 2/(-26)*2. Suppose 5*q - m = 3*y - 2, -3*q = y - 18. What is the smallest common multiple of q and w?
66
Let b = -97 + 97. Suppose b = 4*i - 4*y - 0*y - 28, -2*i = -5*y - 8. Calculate the common denominator of -26/3 and 1/i*195/(-2).
6
Suppose -4*f = 41*j - 46*j + 95, 0 = 6*j + 4*f - 70. Calculate the least common multiple of 726 and j.
3630
Let n = -5487 + 10961/2. Calculate the common denominator of n and 59/8610.
8610
Let d = 880392020 + -9423716161807/10704. Let j = -5/2676 - d. Find the common denominator of j and 23/33.
528
Let u be ((-272)/(-736))/((-2)/456). Let f = u + 32377/414. Calculate the common denominator of f and (-8)/12 + (-14)/16.
72
Suppose 0 + 15 = w. Suppose 0 = a - 5, 6 = 2*u + 3*a - 9. Let c(r) = -r**3 + 5*r**2 + r + 30. What is the least common multiple of c(u) and w?
30
Let r(o) = o**3 + 8*o**2 + 11*o + 12. Let i(l) = -l**2 - 8*l - 10. Let n be i(-4). Suppose -24 = n*y - 2*y. Calculate the lowest common multiple of r(y) and 16.
144
Let c = -3128 - -4462. Suppose 0 = 9*k + c - 3719. What is the lowest common multiple of k and 3?
795
Suppose 0 = 3*k + y - 1855, 11*k + 3*y = 1630 + 5167. What is the lowest common multiple of 231 and k?
1848
Let r(k) = -k**2 + 11*k - 25. Calculate the smallest common multiple of (3/9)/(9/243) and r(7).
9
Let t = 10072 - 4441751/441. What is the common denominator of t and 71/66?
9702
Let l = -21390 + 21400. What is the least common multiple of l and 8670?
8670
Let q = 22873 - 228633/10. Find the common denominator of -2/165 and q.
330
Calculate the common denominator of (((-112)/120)/7)/(58/(-2291)) and 127/11970.
11970
Calculate the common denominator of 2*(-358)/4560 + 0 and ((-448)/(-72) - -6)*-9*4/48.
1140
Find the common denominator of -43/360 and ((-22)/60)/((-456)/(-16) + -24).
1080
Suppose f - 18 = -9*y + 4*y, 18 = 4*y + 2*f. Suppose y*x - 4*x + 7 = v, 4*v = -5*x + 29. Calculate the smallest common multiple of v and 92.
276
Suppose 3*o - 851 - 117 = 5*i, 12 = -3*i. Let b = 406 - o. Calculate the lowest common multiple of b and 36.
180
Suppose -140 = -7*k - 1568. Let x = -199/3 - -251/6. What is the common denominator of (-16)/14*187/k and x?
42
Let h(j) = -10*j**2 - 7*j + 9. Let t be h(-3). Calculate the common denominator of 124/t*(-9)/(-6) + 3 and -23/45.
90
Suppose 2*w - 5*d = -3*w - 40, 80 = -5*w - 5*d. Let v = w - -30. Suppose -280*i + 323*i = 183 + 75. What is the least common multiple of i and v?
18
Suppose 0 = -1403*r + 1273*r + 2600. Calculate the lowest common multiple of 4242 and r.
42420
Let q be 530/15 + 7 + 1/(-3). Let y = -6733 - -121159/18. Find the common denominator of y and 158/45 - q/(-420).
18
Let k = 150066/37 - 4054. Let j = -13553/7918 + k. Calculate the common denominator of -59/16 and j.
1712
What is the least common multiple of 1 - (-5)/(5/8) and (-907 - -897)*(-146)/20?
657
Let i = 666/13 - 6095/104. Let r = -2630247/86 + 30584. What is the common denominator of r and i?
344
What is the smallest common multiple of 630 and (-5)/(-30) + (90265/30 - -1)?
27090
Let x = 3/23194 - -440533/1182894. Calculate the common denominator of (-24)/45*(-5)/(-14) and x.
357
Suppose 26*a + 601266 = 32*a. Let y = a - 82172999/820. Find the common denominator of 23/4 and y.
820
Let c be (2/4)/((-1)/486). Find the common denominator of (2 - 1 - 4) + c/(-50) and 4/(-14) + 51/(-140).
100
Suppose -5*a = -11*a + 36. Suppose -g + 7*g = -a. Find the common denominator of 6*(-76)/32 - (g + 2) and -75/16.
16
Find the common denominator of (-1896)/(-371) + (-27)/(513/95) and 11/530.
3710
Let o(l) = -l**3 + 46*l**2 + 94*l + 96. Let b be o(48). Suppose 9*h + 21*h - 990 = b. Calculate the lowest common multiple of h and 9.
99
Let i be (-506)/(30/24 + 6 + -9 + 2). Let l = 864295/156 - 45731/13. Let n = l + i. What is the common denominator of 29/8 and n?
24
Let h = -3261785/48 + 67951. Calculate the common denominator of -9/40 and h.
240
Calculate the least common multiple of 2672 and (-2076218)/(-777) + ((-195)/63 - -3).
2672
Let j(k) = 4*k**2 + 9*k + 1. Let g(l) = l**3 + 60*l**2 - 113*l + 696. Calculate the lowest common multiple of g(-62) and j(7).
1820
Let c = 19522 - 1639927/84. What is the common denominator of 14/(-91) - (1594/728)/(-1) and c?
84
Let t = 225 - 349. Let n = -112 - t. Calculate the smallest common multiple of n and 6.
12
Let h(o) = -o**3 - 7