Let s be j(-11). Calculate the lowest common multiple of 267 and (280/s)/(1/(-4)).
1335
Find the common denominator of (2/7 - 18/(-378))*(-549)/(-12) and 89/1568.
1568
Let z(t) be the first derivative of -t**4/4 - 10*t**3/3 - 9*t**2/2 - 12*t - 1. Let s be z(-9). Let f = s + 23. What is the least common multiple of 3 and f?
33
Let t = -90/13 - -1045/104. Find the common denominator of t and 186/(-100)*5/6.
40
Calculate the common denominator of -43/11 and 5372/(-204)*(-3)/4.
44
Let g = -173 + 197. Suppose u - 6 - 3 = 0. Let p(a) = a**2 - 7*a + 12. What is the least common multiple of p(u) and g?
120
Let d = -3639 + 232953/64. Calculate the common denominator of -43/1216 and d.
1216
Suppose 0 = -6*t + 22 + 20. Suppose -p + 46 = 22. What is the lowest common multiple of p and t?
168
Suppose 5*b - 3*k - 939 = 0, 4*b - 4*k - 741 = -5*k. What is the least common multiple of 64 and b?
5952
Suppose -5*k + 5*y = -27015, 0 = 2*k - 4*k - 4*y + 10812. Find the common denominator of 29/8 and (-6)/(-14) + (9174/k)/(-3).
1544
Let z be (-8)/(-6)*(-78 + 12). Calculate the common denominator of 61/z + (-30)/(-40) and -97/72.
792
Let h = -128258 + 242022835/1887. Calculate the common denominator of h and 74/3.
1887
Let i = -1228484689/910 - -1349983. Calculate the common denominator of i and 10/819.
8190
What is the common denominator of 71/18 and -348915*(-3)/(-149652) - (-5 + (-4 - -2))?
149652
Suppose -44*i - 960 = -56*i. What is the lowest common multiple of 152 and i?
1520
Let t(w) = -3*w - 11. Let o(r) = r + 6. Let d(s) = 5*o(s) + 2*t(s). What is the smallest common multiple of d(-7) and (-26)/(-91) - (-290)/14?
105
Suppose 8 + 7 = 5*n. Suppose -y = -2*y + f - 87, f + 245 = -n*y. Let z = y - -107. What is the lowest common multiple of 12 and z?
24
Let j(r) = 2*r**3 + 13*r**2 + 14*r + 7. What is the smallest common multiple of j(-5) and 1317?
5268
Let f be 2*1 + 14 + -16. Suppose f*q = -5*q + 40. What is the least common multiple of q and 1/(-3)*(-8 - 34)?
56
Let h(s) = s**3 + 8*s**2 + 10*s + 6. Let o be 12/(-9)*(-9)/6. Suppose -3*j = o*b - j - 48, -2*j = -3*b + 52. Calculate the least common multiple of h(-6) and b.
180
Suppose 10*u - 10560 = 7*u. Suppose -r + 5*i = u - 11792, 0 = i. Find the common denominator of 2/(-5) + r/1280 and -29/20.
80
Suppose -2*b + 5*k + 549 = -98, 5*k = -35. What is the lowest common multiple of b and 927?
31518
Find the common denominator of 139/300 and 12/45*(-2294)/(-1628).
3300
Let z = -329 + 334. Suppose 226 + 289 = z*v. What is the smallest common multiple of 4 and v?
412
Let x(j) = j**2 + j + 7. Let i be x(-6). Let b = -72 + i. Let f = 40 + b. What is the lowest common multiple of f and 2?
10
Let x be (-4 - (-4 - 1/(-1)))*2. Calculate the common denominator of (-17 - x)*3/(-10)*-4 and -79/122.
122
Let r = 4 + -3. Suppose k - 40 = -3*d + 42, -2*d = 5*k - 397. Let x = k - 74. Calculate the lowest common multiple of x and r.
5
Let m = 125 + -129. Let t be ((-25)/10 - m) + 7586/(-4620). Let d = 2/231 + t. Find the common denominator of -4/33 and d.
165
Let c(l) = 14*l**2 - 7*l - 15. Let i = -224 - -221. Calculate the lowest common multiple of 18 and c(i).
396
Find the common denominator of (9/(-7))/((-12)/30) and ((-306)/90)/((-44)/(-30) + 0).
154
Let v = -66061/78522 + 87/569. Calculate the common denominator of (-34)/(-60)*3 + 4 and v.
690
What is the common denominator of (-2 - (-440)/225)*((-1195)/(-30) + -14) and 46/3621?
32589
Suppose 20*u + 479 = 879. What is the least common multiple of u and 840?
840
Let c(v) = 197*v**3 - v**2 - 2*v - 8. Let j be c(4). Let q be j/(-1360) + (6/10 - 1). Let f = q + 893/119. Find the common denominator of f and -69/10.
70
Calculate the common denominator of 65/66 and ((-4)/(-12) - (-4 - 1384/(-144)))/1.
198
Let y = -358322 - -358334. What is the least common multiple of y and 1/(-3) - (-73)/3?
24
Suppose 5*b + j + 717 = 0, 3*b + 726 = -2*b + 2*j. Find the common denominator of 68/39 and 32/b - 67/18.
234
Let t = 10 - 20. Let u(x) = x**2 + 12*x + 22. Let g be u(t). Let l = 6 + g. Calculate the least common multiple of l and 10.
40
Suppose -24*i - 14*i + 8436 = 0. Suppose 0*n - 3*n + 72 = 0. What is the least common multiple of (-210)/(-9)*i/259 and n?
120
Let m = 52 - 47. Suppose -4*d - 28 = m*a, 2*d + d - 2 = 2*a. Find the common denominator of 5/22 and (d + 0)/(632/(-166) - -4).
88
Suppose 0 = -4*i - n - 33 + 12, -5*n = -i + 21. Let g(h) = -3*h + 6. Let u be g(7). What is the lowest common multiple of 6 and (i - 55/u)/((-1)/12)?
12
Let c = 4269 + -2415. Let y = -11065/6 + c. What is the common denominator of y and -45/2?
6
Let d be 1*1/(-3) - (-80)/24. Suppose -d*l + 87 = 42. Calculate the smallest common multiple of 65 and l.
195
Suppose -2*y + 3*v = -238 - 148, -4*v - 8 = 0. Suppose -275*h = -274*h - 4*l - 27, -3*h + 2*l + 31 = 0. What is the lowest common multiple of h and y?
1330
Let b = 205 + 38. Suppose -3*y + 72 = 9*c, -12 + 24 = 5*y - 3*c. Calculate the smallest common multiple of y and b.
486
Let o(m) = 37*m - 1. Let y(p) = 298*p - 12. Let s(f) = -8*o(f) + y(f). Suppose -4*r + 1 = -39. What is the least common multiple of s(r) and 36?
144
Suppose 0 = 2*a + 17 - 7. Let t = 56 + a. Calculate the least common multiple of 1 and t.
51
What is the common denominator of (3*(-10)/150)/((-3)/380) and -16/297?
297
Let t = -1/130 + 6961/780. Let h(g) = g**2 - 2*g - 1. Let i be h(3). Calculate the common denominator of t and 259/(-14)*i/(-18).
36
Suppose 4*y + 7*y - 33 = 0. Suppose 5*k = 3*k + y*o - 13, 3*k + 5*o = 28. Calculate the common denominator of -91/20 and ((-1)/12)/(k/(-3)).
20
What is the smallest common multiple of 7 and (-9)/(-4) - (-2070)/(-1656)?
7
Let y = 37917/7 - 20095849/3710. Let q = 18314/2385 + y. Calculate the common denominator of q and 67/66.
198
Suppose 2*n - 2*w = -5*w + 142, -2*w = 4*n - 276. Suppose -h + 21 = 3*i, 0 = -57*i + 58*i - 5*h + 9. What is the smallest common multiple of n and i?
204
Let r(m) = -383*m - 59. Let v be r(-5). Let k = v + -18587/10. What is the common denominator of k and (-4)/(-40)*27 + -2?
10
Let o = 484 + -220. Calculate the common denominator of 50/3 and ((-2080)/o)/5 + 0.
33
Let d = 64/79 - -4765/2212. Calculate the common denominator of -95/122 and d.
1708
Let r(g) = -g**3 - 10*g**2 - 10*g. Suppose 0*k - 2*y + 22 = -3*k, -2*y - 10 = 5*k. Calculate the smallest common multiple of r(-9) and ((-27)/2)/(2/k).
27
Calculate the common denominator of ((-9144)/(-324))/((-6)/(-8) - 5646/(-24)) and -29/108.
6372
Let y = 1325/368 + -7/184. Calculate the common denominator of -49/436 and y.
1744
Let h(o) = 27*o**2 + 644*o + 6974. What is the lowest common multiple of h(-11) and 462?
18942
Let j = 12482455/156 - 80015. What is the common denominator of j and 97/105?
5460
Suppose 31*i = 16*i + 2640. Let h = i + -172. What is the smallest common multiple of h and 71?
284
Let a(v) = -4*v - 13. Let z be a(-3). Find the common denominator of ((-1750)/159 + 11)/(z/17) and -83/24.
1272
Let w = 35 + -30. Suppose -8*o + 15 = -w*o. Suppose 2*g + 36 = o*g. What is the lowest common multiple of g and 12?
12
Suppose 5*l - 4*l - 3 = 0. What is the least common multiple of 10/(-6)*(-16)/(480/126) and 19 + -7 - (l + 0)?
63
Let n(l) = -74*l + 9. Let t be n(6). What is the common denominator of -1 - 6/(108/t) and (-6 - 0)*(-13 - 1683/(-126))?
42
Suppose 0 = l + 5*b + 42, -42 = 5*l - 4*l + 2*b. Calculate the least common multiple of (-6)/21 - 432/l and 6.
30
Suppose -4*c - j = -30, c - 14 = 3*j - 0*j. Suppose 142 = 15*w - c. Calculate the least common multiple of w and 328.
1640
Suppose t = -4*l - 2, -5*t - 4*l + 80 = -2*l. Find the common denominator of (t/(-24))/(6/268) and ((-1)/4)/((-3)/414*-1).
2
Let v = 46294 - 2916461/63. Find the common denominator of v and 8/189.
189
Let g = 232/35 - -191/420. Let z be 5/(340/8) + 1341/(-11169). Let f = -31034/3723 - z. Calculate the common denominator of f and g.
12
Let u = 4469/1974 + -65/47. Let n be (4/290)/((-119)/(-35)). Let q = n + -21203/986. Find the common denominator of q and u.
42
Let i = 939287/54 + -17395. Calculate the common denominator of -81/28 and i.
756
Find the common denominator of 2/165 and ((-50)/48 - -1)/(58900/214520).
12540
Suppose -8*y + 16 = -0*y. Find the common denominator of 936/2880