 2*c = -3*x + 145, -365*x = -361*x - 4*c - 220. Calculate the lowest common multiple of x and 486.
8262
Suppose 0 = h - 3, 0 = -2*w + 2*h + 41 + 1. Let o(n) = -n**2 - 11*n + 11. Calculate the least common multiple of w and o(-4).
312
What is the common denominator of -83/2625 and 8/(-18)*(-85249)/(-20920)?
15750
Let h(d) = -d**3 + 7*d**2 - 16*d + 51. Let p be h(6). What is the common denominator of -71/21 and (3 - 246/9)/p?
189
Find the common denominator of -34/71 and (11907/270 - 44)/(7*(-2)/262).
4970
Suppose 2*s + 1304 = -4*f, 5*s - 507 = 2*f - 3755. Let n = s + 728. What is the smallest common multiple of 66 and n?
858
Let k = -27/7174 - -149148/1029469. Find the common denominator of 19/902 and k.
6314
Let a(u) = -u**3 - 7*u**2 - 4*u - 10. Let p be a(-7). Find the common denominator of (-3 + 32/12)/(4/(-111)) and (-8)/p*45/(-6).
12
Let t(i) = -i**3 + 10*i**2 - 17*i + 81. Suppose 28 = 3*y - 5. Calculate the smallest common multiple of t(9) and y.
99
Suppose -9837 - 2846 = -2*k + a, 4*k - 4*a - 25356 = 0. Calculate the common denominator of 40/27 and -1 - ((-2)/(-5) + k/(-3960)).
297
Let d = 651 + -649. Suppose 5*p - 150 = 3*u, -7*p + 2*p + d*u + 145 = 0. What is the smallest common multiple of p and 3?
27
Let p = -45137/30 + 1505. What is the common denominator of 320/(-375) - 12/150 and p?
30
Suppose 4*v = v + v + 4. Calculate the smallest common multiple of v and 103.
206
Let q = 17129/1202 - 1/2404. Find the common denominator of 15/97 and q.
388
Let v = 45 - 42. Suppose 0 = v*a + 1 - 91. Calculate the least common multiple of 45 and a.
90
Suppose 647*u + 58 + 2553 - 15551 = 0. Suppose l + l = 44. Calculate the least common multiple of u and l.
220
Let s = 29 + -40. Let t(w) = w**3 + 13*w**2 - 46*w + 34. Let z be t(-16). What is the common denominator of s/33 + z/(16/45) and 103/30?
120
Let y = 3 + -9. Let d = y + 8. What is the smallest common multiple of 9 and 258/5 + 4*d/20?
468
Let u = -96/221 + 280536/633607. Let i be (-2)/(-10) + (-16708668)/5504640. Let m = u - i. What is the common denominator of m and 101/10?
160
Let o = -7348339/548698920 + 1/386680. Calculate the common denominator of 52/645 and o.
7095
Let b = 21 - 37. Let l be 12/(-16) - 124/b. What is the smallest common multiple of 6 and (-42)/(-49)*(0 + l)?
6
Find the common denominator of 7 - 2375/(-980) - 9 and 29/264.
12936
Let h be 14*(0 - (-7)/(-4))*-2. Let d = -29 + h. Calculate the least common multiple of 35 and d.
140
Let p(w) = -w**2. Let f(g) = 2*g**2 + g. Let y(o) = 4*f(o) + 3*p(o). Let d be y(-2). What is the common denominator of d/63*(-732)/(-32) and -73/22?
154
Let s = 150/1211 - -80687/3633. Let y = -247/25 - 148/25. Let g = y + 532/15. What is the common denominator of g and s?
3
Let c(h) = 16*h**2 - 50*h + 336. What is the lowest common multiple of 239 and c(13)?
2390
Let h(k) = 17*k**2 + 2*k - 3. Let a be h(1). What is the lowest common multiple of 46 + a/(-6)*-3 + -5 and 28?
196
Let t = -7915 - -8052. What is the lowest common multiple of t and 35?
4795
Let p(t) = t**2 + 17*t - 1062. Calculate the least common multiple of p(-45) and 264.
792
Calculate the common denominator of -71/306 and 1/26*4 - 479/1170.
1530
Suppose 0 = -4*l - 4*r + 36, 5*r - 28 = -2*l + 2. Suppose -159*c = 506*c + 89*c - 229216. What is the lowest common multiple of c and l?
1520
Suppose -3*s + 954 = 4*d, 3*d - 314 - 416 = 5*s. Calculate the lowest common multiple of 264 and d.
2640
Let d = -4369/135 - -152/5. Find the common denominator of d and 41/135.
135
Suppose 165 = 827*g - 816*g. Let v(f) be the third derivative of f**4/12 - f**3/6 - 13*f**2. Calculate the smallest common multiple of g and v(8).
15
Suppose 5*b + 5*t - 53 = 162, -t - 37 = -b. Calculate the least common multiple of b and 406/9 - (-300)/(-270).
440
Let b = 15 - 98. Let a = -73 - b. Suppose -a = n - 32. What is the smallest common multiple of 28 and n?
308
Suppose 27 = 6*a - 3*a. Let w = 53 + -47. Suppose 0 = -w*o - 4*o + 40. What is the smallest common multiple of a and o?
36
What is the least common multiple of 1/(-1) + 7 + -10 - -10 and 636?
636
Let s(d) = -d**3 - 7*d**2 - 2. Let m be s(-7). Find the common denominator of (-3)/((-54)/(-29)) + 1 and m/12 + 185/(-105).
126
Suppose -55*h + 56*h - 30 = 3*a, -5*h + 2*a = -59. What is the least common multiple of h and 304?
2736
Let i be -4 - (0 + -94) - 0. Find the common denominator of (-9)/24 + (-146)/(-240) and ((-68)/i - 0)*(-3)/4.
30
Let w(x) = -x**3 - 14*x**2 - 7*x + 206. Let b(v) = v**3 - 3*v**2 - 6*v - 4. Let c = 12 + -6. Calculate the least common multiple of w(-12) and b(c).
68
Let d(g) be the first derivative of g**4/4 + 3*g**3 - 7*g**2 - 18*g - 28. Let t be d(-11). Find the common denominator of 77/30 and -3 - t/42 - -2.
210
Let k be (1 - (3 + -3)) + -8. Let i = 9 - k. What is the least common multiple of i and ((-2)/9 - (-33)/27) + 21?
176
Suppose 23664 = -57*x + 38*x + 36*x. What is the least common multiple of x and 1740?
6960
Suppose -26*m + 806 = 707 - 1149. What is the lowest common multiple of m and 6?
48
Let b = -3/2669 - -5033/8007. What is the common denominator of -113/646 and b?
1938
Let c(i) = -3*i + 274. Let b(s) = -7*s**2 - 52*s + 27. Let m be b(-7). Calculate the smallest common multiple of 30 and c(m).
390
Let q(x) = -2. Let t(w) = w - 11. Let z(d) = 3*q(d) - t(d). What is the smallest common multiple of 2 and z(-5)?
10
Let w = -269 - -268. What is the lowest common multiple of -100*((-5)/(-10) + w) and 15?
150
Suppose -4*h + 163 = 5*r + 110, 5*h + 3*r = 76. What is the least common multiple of 66 and h?
1122
Let z(h) = 437*h + 1476. What is the least common multiple of z(-2) and 49?
4214
Calculate the common denominator of 113/672 and -8 + 4 + 969/756*4.
2016
Let q(c) = c**2 + 72*c + 518. Calculate the least common multiple of q(-8) and 222.
222
Calculate the lowest common multiple of 4 and 4*((-3)/(-15))/((-4)/(-20)).
4
Let w(a) = -a**3 - a**2 + a - 1074. Let c be w(0). Let m = c + 3686. Let q = m - 28772/11. Calculate the common denominator of -17 and q.
11
Calculate the smallest common multiple of 615 and 3 + 560/48*90/25.
1845
Calculate the common denominator of ((-1602)/5429)/(-2*3/15) and ((-67)/5)/(9/(-5)).
549
Let s = 2058 + -2049. Let i = 16 - -8. Suppose 5*v - 4*n - 28 = v, 5*n + i = 4*v. Calculate the least common multiple of s and v.
99
Suppose 3*t + 4 = 4*i + 20, 0 = -5*t + 2*i + 22. Let q = -12 - 10. Let o = q - -40. Calculate the lowest common multiple of o and t.
36
Let o = 18 + -59. Let c = -11 - -58. Let h = o + c. What is the least common multiple of h and 12?
12
Let t be 20/8*-2 - (0 - -2). What is the smallest common multiple of (-5 - t) + (2 - -2) + -1 and 10?
10
Suppose 0 = -y - 2*y - 483. Find the common denominator of -91/90 and (-2)/3*y/(-84).
90
Let k = 344120569/444 + -775046. What is the common denominator of k and 75/8?
888
Find the common denominator of -59/368 and (-306)/(-46) - 2 - (11 - 8).
368
Suppose -8*f + 3*f = -55. Calculate the smallest common multiple of (3 - (-675)/99) + 2/f and 4.
20
Let v = 31261/1668 + 51/556. Find the common denominator of 4/(-14) + (-138)/(-4648) and v.
996
Let x(p) = 3*p**2 - 35*p + 9. Let y(b) = 2*b**2 - 17*b + 7. Let t(s) = -2*x(s) + 5*y(s). Calculate the lowest common multiple of t(5) and 24.
168
Suppose 3*g = -3*r - 624, -5*r + 0*r - 4*g - 1041 = 0. Let h = r + 226. What is the least common multiple of 3 and h?
51
Let x = 414 + -416. Let l = x - -26. What is the smallest common multiple of 90 and l?
360
Let l be -3 + (2 - -1 - -158). Let h = -151 + l. Let i = 15 - 9. Calculate the lowest common multiple of i and h.
42
Let x be 63/624*(-5 + 2). Let k = x - -363/104. Calculate the common denominator of -390*25/1200*(-4)/(-10) and k.
16
Let o(h) = -h**2 - 5*h + 10. Let a = 28 - 35. Let z be o(a). What is the least common multiple of 15 and 3 + z + -3 + 40?
180
Suppose 121*l - 50*l - 39480 = -70*l. Calculate the lowest common multiple of 56 and l.
280
Let u = -39/1064 + -18987/135128. Let s = -2893/2667 + u. Calculate the common denominator of 43/8 and s.
168
Let a = 86 + -59. Let u = a - 2. Let y = u - 1. Calculate the lowest common multiple of 9 and y.
72
What is the common denominator of -39/80 and 5 - (2 - -5) - 1161/(-510)?
1360
Suppose -3*o = -120 - 48. Su