ose 5*r - 2*z - 30 = r, 4*z = 20. What is the common denominator of ((-85)/r)/((56/(-12))/(-7)) and ((-212)/136 - -3) + -3?
68
Let f(d) = -11*d + 47. Let x be f(-3). Calculate the common denominator of -13/124 and 176/x*45/(-4).
124
Suppose -c + 4*q = -3*c, 2*c - 5*q = 9. Suppose -k - n = c*n + 54, n = 2*k + 73. Calculate the lowest common multiple of 16 and k/(-18) + (-7)/42.
16
Let b(j) = -j**3 + 13*j**2 + 8*j + 40. Calculate the lowest common multiple of 240 and b(13).
720
Let r(y) = -1493*y**2 + 6*y - 15. Let u be r(-3). Let m = 188661/14 + u. Find the common denominator of m and 4/26 + 535/494.
266
Let u = -3871459/728 - -37222/7. Let q = 249199523/22 + -11325237. Let n = 2016 - q. What is the common denominator of n and u?
1144
Let i = -89823/3800 - -6/475. Let u = i - -1001/40. Find the common denominator of 29/412 and u.
2060
Let d be ((-12)/24)/(2/172). Calculate the common denominator of (d/4 - 2)*(-20)/(-42) and 79/36.
252
Suppose 5*g - 5*d + 10 = 0, 9*d - 29 = -3*g + 5*d. Suppose -5*v - 43 = -2*z - 183, -4*z + 110 = g*v. Calculate the least common multiple of 40 and v.
120
Let c = -17/372 + -2/465. Let m = -105197/1368 - -1436/19. Calculate the common denominator of m and c.
360
Suppose 2*a - 50 = -55*c + 50*c, -4*c - 4*a = -52. What is the lowest common multiple of c and 428?
856
Suppose 12 = -95*i + 83*i. Find the common denominator of (-9)/((i/2)/((-2)/56)) and -23/11.
154
Let u = 1657 + -1622. Suppose 5*q - 8*q + 9 = 0. Suppose 0 = -h + 43 - q. What is the least common multiple of h and u?
280
Let b be (4 + -4)/(-2) - -4. Suppose b*u = 14 + 2. Suppose 0 = -4*k - 3*j + 5, -u*k - j - 6 = -21. What is the least common multiple of k and 30?
30
Let m(n) = 75*n - 1654. What is the lowest common multiple of m(24) and (-6)/9 + (-26)/(-3)?
584
Let b = -96991/1806 + 1123/21. Find the common denominator of -59/4 and b.
516
Let z(x) = 209*x - 2891. Calculate the lowest common multiple of z(14) and 108.
3780
Let j(x) = 13*x - 11. Suppose -4*a + 47 = -57. Suppose a*i = 21*i + 10. Calculate the smallest common multiple of 18 and j(i).
90
Suppose 0 = -3072*h + 3081*h - 81. What is the lowest common multiple of 4/6*(1 + 2) and h?
18
Let a = -4510/3 - -89933/60. What is the common denominator of 10/(-27)*(-174)/8 and a?
180
Let a(p) = -p**2 + 6*p. Let h be a(5). Suppose y - m = h*y - 101, 2*m = y - 14. Let j = 313 - 293. What is the least common multiple of j and y?
120
Suppose 444*k - 411*k = 6534. What is the smallest common multiple of 648 and k?
7128
Let f = -425 + 506. Suppose -19*o + f = -147. Calculate the lowest common multiple of o and 12.
12
Let o be -1 - (19 - 1)/(-2). Suppose o*v - 216 = -16*v. What is the lowest common multiple of 346 and v?
3114
Suppose 2*k = -4*w + 34, -163*k = w - 165*k - 21. Calculate the least common multiple of 475 and w.
5225
Let a = -55 + 276. Let m = a - 217. Calculate the lowest common multiple of 20 and m.
20
Let s(w) = w**3 - 8*w**2 + 10 + 485*w - 484*w + 0*w**3. Suppose -4*m + 42 = 2*j - 6*m, -4*j - 2*m + 54 = 0. What is the least common multiple of s(8) and j?
144
Let k = 43721/144936 + 43/671. Calculate the common denominator of k and -77/120.
1080
Suppose 286 = 4*q + 3*x - 126, -3*x - 488 = -5*q. Let f = 140 - q. Calculate the smallest common multiple of f and 16.
80
Suppose 4*y - 226 = w, 0 = y - 2*w + 13 - 73. Suppose -3*t - 25 = -4*a, 0 = -31*t + 27*t + 4. Calculate the smallest common multiple of a and y.
56
Suppose -180 = -4*r - r. Calculate the least common multiple of r and (((-12)/(-108)*45)/(5/12))/(14/105).
180
What is the least common multiple of 32 and (22/28*(66 + -54))/(2/28)?
1056
Let o be (6854406/(-865228))/((-108)/21). Let q = o + 3/2377. Let k = 1029 + -21568/21. Find the common denominator of k and q.
168
Find the common denominator of (-218)/(-84) - (-2)/4 and 3/18 - ((-6890)/924 - -8).
231
Calculate the least common multiple of 322 and 2718*(-8)/(-16) + -25.
9338
Let x be (-1625)/13 - -15 - 0/1. Find the common denominator of ((-1620)/x)/((-4)/1) and -145/66.
66
Let v(c) = -c**2 + 12*c + 9. Let f = -10519 - -10539. Calculate the smallest common multiple of f and v(9).
180
Let d(h) be the second derivative of -h**3 - 50*h**2 - 82*h. What is the smallest common multiple of d(-22) and 24?
96
Suppose -3*s = -0*s - 195. Let d be (-104)/s*85/(-1). Suppose 3*h = -h + d. What is the lowest common multiple of 6 and h?
102
What is the least common multiple of 3670 and 10854/(-3015)*(-40)/9?
29360
Find the common denominator of -143/306 and 10/(-85) - 93/(-1683).
3366
Calculate the common denominator of 111/352 and ((-39)/60 - 0)*-6*(-6)/24.
1760
Let h = -405481/45 - -27100/3. Let j = h + -207/10. What is the common denominator of j and 6/(180/295) - (-18)/(-27)?
18
Suppose i - 3 = -3*v - 4, 4*i - 2*v + 74 = 0. Let n be (1 + i)*(-1 + 2). Find the common denominator of (-16)/(-6)*n/(-110) and -28/5.
55
Let o(z) = z**3 - 34*z**2 + 46*z + 63. Let t be o(33). Suppose -2*f = -5*f + 3*r + t, -3*f = 3*r - 462. Calculate the lowest common multiple of 6 and f.
318
Suppose -7*y = 3*w - 1984, 30*w = -3*y + 27*w + 840. Calculate the lowest common multiple of y and 20.
2860
Suppose -4*t + 2*d = -26, 2*t - 22 - 9 = -5*d. Suppose -t*n + 89 = 25. Calculate the lowest common multiple of (7/((-28)/44))/(1/(-1)) and n.
88
Let s = 602147/30 - 40133/2. Let n = 15/589 + -40791/5890. Find the common denominator of s and n.
30
Suppose -8*r + 162 = -5*r. Let y = 94 - r. Calculate the common denominator of (-2 - (-74)/y)*(-606)/18 and 37/2.
20
Let d(n) = -8*n - 66. Let b be d(-8). Calculate the common denominator of -1 + 339/300 + (b - -2) and 63/40.
200
Let s(l) = 4*l**2 - 31*l + 182. Let i(b) = -b + 8. What is the smallest common multiple of i(6) and s(4)?
122
Let z be ((-4340)/(-175))/(4/10). Let j(n) = 2*n + 29. Calculate the least common multiple of j(z) and 18.
306
What is the common denominator of 456/1296 - (-3)/(-1) and (68/(-54))/((16/(-3))/(-2))?
108
Suppose 40 = 2*a - 0*a. Let r(p) = p**2 + 7*p + 8. Let y be r(-5). Calculate the lowest common multiple of (-7 - y)/((-2)/14) and a.
140
Let g = 332 - 180. What is the smallest common multiple of g and ((-22760)/5121)/(4/(-9))?
760
Calculate the common denominator of 37/70 and ((-3731)/13325)/((-482)/(-35)).
16870
Let r = -4926 - -4936. Suppose -47 = -o + 67. Calculate the lowest common multiple of o and r.
570
Let a = 683/8 - 87. Suppose -3 = 5*j + 17. What is the common denominator of a and (-24)/36*(-51)/j?
8
Calculate the smallest common multiple of 840 and 296/14 - 54/378.
840
Let w = 24 + -94. Let m be (-1 - -2)/((-4)/(-292)). Let k = w + m. What is the least common multiple of 11 and k?
33
Suppose -1 + 6 = -5*j, -40 = -5*k - 5*j. Suppose -5*v + 5*o + k = 29, -v + 8 = 5*o. What is the lowest common multiple of 6 and (1/(-2) - v)*4?
6
Find the common denominator of ((-105)/119 - -1)*3/(-70) and -61/175.
2975
Let u = 3397/6 - 578. What is the common denominator of u and -12/103?
618
What is the least common multiple of 48 and ((-192)/(-5))/((-2 - 3) + (-371)/(-70))?
384
Let u(x) = -2*x**3 - 102*x**2 + 75*x + 394. What is the lowest common multiple of u(-53) and 7?
53585
Let k(s) = 17*s + 35. What is the least common multiple of 220 and k(7)?
1540
Let g(j) = -27*j**2 + 682*j - 42. What is the smallest common multiple of g(24) and 42?
5418
Suppose -46*p + 43*p + 3*h = -27, -3*p + 4*h + 24 = 0. Let r = -253 + 833. Calculate the lowest common multiple of r and p.
1740
Let y = -64328/588553 - -37615559028/27117579475. Let m = y + 4/1843. Let a = m + 23/25. What is the common denominator of a and -15/7?
35
Let h(m) = -4*m**3 - 13*m**2 + m + 18. Calculate the smallest common multiple of 11 and h(-7).
8206
Let f = 5180 + -5159. What is the least common multiple of f and 9?
63
Let y be ((-270)/20 - -1)*10. Let g = 161 + y. Calculate the lowest common multiple of g and 54.
108
Suppose 1810*x - 95 = -5*w + 1805*x, 2*w - 30 = -3*x. Calculate the lowest common multiple of w and (-3)/(3/(-2)) - -10.
108
Let j be -140639*(-3)/261846 + (-4 - -4). Let r = j + -1/4849. What is the common denominator of r and (-218)/60 + (5 - 3)?
90
Let b = 18/455339 + 43185601/1811338542. Find the common denominator of -57/7 and b.
27846
Let g(q) = -8*q**3 - 2*q**2 - 2*q. Let t(p) = 