6597/30 + 36558. What is the common denominator of 1/24*2028/(-45) and n?
90
Let c(g) = -g**2 + 9*g - 4. Let p(s) = s**3 - 11*s**2 + 11*s - 2. Let y be p(10). Calculate the lowest common multiple of (-202)/(-18) + -1 + 14/(-63) and c(y).
20
Let s(j) = -59*j - 334. Calculate the least common multiple of (-9)/12 + ((-310)/8)/(-5) and s(-6).
140
Let l = -26614/5 - -2155459/405. What is the common denominator of l and -19/765?
6885
Let n = 151 + -135. Calculate the smallest common multiple of (-2)/3*3 - -19*2 and n.
144
Let p(f) = -f**3 + 71*f**2 + 1209*f - 255. What is the smallest common multiple of p(85) and 28?
9520
Calculate the common denominator of (-1)/6*-85*8/200*-35 and 2/6 + 995/(-990).
198
What is the common denominator of (889/35)/(33972/(-95)) and 58/7?
12516
Suppose -19 = 13*o - 71. Suppose o = w + 1. Suppose -p + 3*p = 5*x, -w*x + 1 = -p. What is the lowest common multiple of 8 and x?
8
Calculate the common denominator of ((-1722)/(-90) - 5)*(361/60 - 6) and -113/60.
900
Let b(o) = 13*o**2 - 3*o - 3. Let m be b(-1). What is the lowest common multiple of 52 and 4/(m - 9) - (0 - 15)?
208
Suppose -9 = -4*u + m, -2*u + 2*m + 3 = -3. Suppose q - u*s + 5*s - 48 = 0, -3*q - 5*s = -124. What is the lowest common multiple of 132 and q?
132
Let c = 10281877/60 - 171364. Let m = 14/859 + -119485/5154. Find the common denominator of c and m.
60
Suppose 0 = h + 2*z - 89, 2*h + 59 = z + 247. Let f(u) = 3*u**3 + 30*u**2 - 52*u - 723. What is the smallest common multiple of h and f(-6)?
651
Let c(h) = 3*h**2 - 3*h + 3. Suppose 0 = -4*v - 48, -2*s + 9 = 8*v - 62 + 11. Calculate the least common multiple of s and c(2).
234
Let b = 16031 + -3170. Let y = 308513/24 - b. Find the common denominator of -163/78 and y.
312
What is the least common multiple of 182 and (-105)/18 + 6 - (-1580)/24?
6006
Let j(b) = b - 10. Let m be j(11). Let y(k) = -2*k + 5. Let l be y(m). Find the common denominator of l/(-9) + 79/(-60) and 50/11.
220
Let j = 15 + 5. Let z be (-48128)/10065 + (j/25)/4. Let d = z - -139/61. What is the common denominator of -121/42 and d?
462
Suppose -4*o + 3808 = 21*o + 3*o. What is the smallest common multiple of 731 and o?
5848
Calculate the common denominator of -39/14 and 6/2 + -1 + 699/614 - 3.
4298
Suppose 36*m - 234 = 39*m. Let j be ((-26)/m)/(2/(-822)). Let u = 543/4 + j. Find the common denominator of 97/2 and u.
4
Find the common denominator of -11/60 and (-1)/28*(368/(-23) + 97).
420
Let a = -63433246167/1070 - -59283414. Let k = a + 7/214. Calculate the common denominator of k and 53/4.
20
Let g = -4 - -19. Suppose -3 = 4*a - 5*x, a + x - g = -3*x. What is the common denominator of 101/12 and (a/(-14))/(((-27)/12)/(-1))?
84
Let v(i) = -5*i - 67. Let j be v(-7). Let l = 88 + j. Let s = -9 + 21. Calculate the smallest common multiple of l and s.
168
Let c(t) = t**2 + 3*t. Let x be c(-5). Suppose -5*v = 3*s - 87, -2*v = s - x - 25. Calculate the smallest common multiple of 25 - (0 - 1 - -2) and v.
72
Suppose -3*u = -4*t + 583, -436 = 3716*t - 3719*t + 2*u. Calculate the lowest common multiple of 1000 and t.
71000
Find the common denominator of -49/54 and (-626)/3060 - (-192)/864.
4590
Let y be 8*(-6)/20*105/18. Let g = 35 - 16. Let o = g + y. What is the smallest common multiple of o and 6?
30
Let f = -396/35 + -141437/105. Let c = -1370 - f. Calculate the common denominator of (-23)/(-184) + 190/(-16) and c.
12
Let b = -7961 - -95603/12. Find the common denominator of -4 + (3 - (-164)/64) and b.
48
Suppose -201*t + 64*t + 34209 = 44*t. What is the lowest common multiple of t and 93?
5859
Suppose -2*x = 4*h - 2382, -6450 = -6*x + h + 748. What is the lowest common multiple of x and 763?
8393
Suppose -5*o = -4*i + i - 1337, -4*o + 2*i = -1070. Let l = o - 223. Calculate the least common multiple of 25 and l.
225
Let o = 111490 + -72183. Let b = o + -6485617/165. What is the common denominator of 103/105 and b?
1155
Suppose 0*m = m - 5, -3*p - 4*m + 515 = 0. Suppose 3*b = 5*c + 155, -2*c + 99 = 4*b - 73. What is the smallest common multiple of b and p?
495
Suppose 90*v - 72522 = -9*v + 20*v. What is the lowest common multiple of v and 493?
26622
Find the common denominator of 16 + -14 + 34/14 and ((-140)/(-150) + -1)/((-30)/(-2655)).
70
Suppose -4*c = -u + 18, 4*c + 7 - 93 = -3*u. Suppose 2*q = -3*f - 2*f + 45, 4*q + 2*f = 50. Calculate the least common multiple of q and u.
130
Let q = -101408/51885 - -50/1153. Calculate the common denominator of ((-482)/(-100) - 2) + -1 and q.
450
Let n = -148872 + 30965479/208. What is the common denominator of 3/364 and n?
1456
Suppose 0 = 84*x - 6033 - 12437 - 17566. Calculate the smallest common multiple of x and 9.
1287
Calculate the common denominator of (0/1 - -3) + (-97)/4 and (3/(-6) + -5)/2.
4
Let k = 914 - 17361/19. Calculate the common denominator of k and -61/114.
114
Suppose -82 = -4*v + 158. Suppose 0 = -20*p - 275*p + 1770. Calculate the smallest common multiple of v and p.
60
Let p = -24504 - -27100. What is the smallest common multiple of 590 and p?
12980
Let g(q) = 82*q - 489. Let z be g(6). Calculate the common denominator of 145/24 and (-3034)/518*(-1)/z.
168
Calculate the common denominator of (-26)/(-65) - (3 + (-809)/90) and (-16)/(-4) - 37/27.
54
Let r be (-1318)/(-5)*158/(-8). Let p = -5211 - r. Find the common denominator of p and 62/(-36) + (-372)/558.
90
Find the common denominator of -31/2070 and (((-13)/(-3))/(9275/(-106)))/(6/(-20)).
14490
Suppose -8*j - 188 = -76. What is the common denominator of j/(25872/(-3710)) + 1/(-4) and 16/165?
165
Let x = -265 + 85. Find the common denominator of (-2)/5 - 893/(-190) and x/96*(-1)/5*54.
20
Let z be 3/(-7) - (-110262)/224. Let p be (538 - 43) + (2 - (0 - -6)). Let x = z - p. What is the common denominator of -83/34 and x?
272
Suppose -1218*j + 8580 = -1198*j. What is the lowest common multiple of j and 1?
429
Let m be (-8)/33974*(3 + 5/(-2)). Let x = m + -424407/2276258. Calculate the common denominator of -65/16 and x.
1072
Calculate the common denominator of (5 + 255/(-42))*(8/6)/(-4) and 105/352.
2464
Suppose 98031 - 41852 + 82325 = 199*r. What is the least common multiple of 1044 and r?
2088
Suppose 2*k + 45 = 5*h + 7*k, 0 = 2*k - 8. Let o(n) = n**2 - 3*n - 32. What is the smallest common multiple of o(-5) and h?
40
Find the common denominator of (19/(190/436))/(6 - -34) and -59/70.
700
Suppose -44*x = -36179 - 32637. Calculate the least common multiple of 612 and x.
14076
Let i be 3/(-6) + (-596)/(-8) - 0. Suppose g = 2*h - i - 102, -2*h - 2 = 0. Calculate the least common multiple of 5/15 + g/(-6) and 33.
330
Let n(m) = m**3 - 7*m**2 - 5*m - 5. Let x(h) = 1. Let a(f) = n(f) - 2*x(f). Let g be a(7). Let v = 60 + g. What is the lowest common multiple of v and 3?
18
What is the common denominator of 19/115 and 116/(-37352)*35/(-6)?
1380
Let q = 3147 + -4642. Let o = -31/25 - 1077/200. Calculate the common denominator of o and q/(-572) - 2/8.
88
Let f(s) = 2*s + 6. Suppose 15*p = 10 + 5. Let c = 22 + -11. What is the lowest common multiple of f(p) and c?
88
Let r be 2548/(-5) - 24/(56/(-7)). Let c = r - -128863/255. What is the common denominator of c and -1/6?
102
Calculate the common denominator of 34/429 and ((-8 + 0)/2)/(-3 - 270/(-222)).
429
Suppose -3*b - 3*k = 69, -k - 67 = 3*b + k. What is the least common multiple of 9 and ((-30)/10)/b - (-1300)/14?
279
Let j = 674/3 + -461/2. Let r(y) = -1079*y - 16. Let m be r(8). Let a = m - -69093/8. What is the common denominator of j and a?
24
Suppose 5*r + 3*c - 185 = 0, -14*r + 12*r - 4*c = -60. Suppose -4 = -2*u, 4*o - 2*u - r = -6*u. What is the least common multiple of 117 and o?
936
Let s(w) = 2*w**3 - 11*w**2 + 12*w + 34. Calculate the smallest common multiple of s(8) and 45.
450
Find the common denominator of 81/14 and (-6)/(-2 + 1) - 9083*(-104)/(-157296).
137634
Let m be 2/4*(-2 + 0). Let n = 10495 - 10480. Calculate the smallest common multiple of m/((-1)/((-18)/(-3))) and n.
30
Find the common denominator of (-49220)/12198*(-1)/56 and 99/70.
7980
Suppose -2*i + 1552 = 6*i. Suppose -13*d + 662 = i. What is the smallest common multiple of d and 12?
36
Suppose 101*r - 163240 = -196*r + 17*r. Calculate the lowest common multiple of r and 110.
5830
Let g = 22637/170