least common multiple of 6/2*(y/(-9) - -7) and 10?
90
Let f(r) = -70*r - 368. Calculate the smallest common multiple of 1608 and f(-11).
1608
Calculate the common denominator of 13/11 and -6 + (76/(-1330) - 1222514/(-202720)).
31856
Let s = 2267/126 - 237/14. Find the common denominator of -47/132 and s.
2772
Let x be (-2)/(-2) - (3 + -29). Suppose -54 = x*u - 33*u. Suppose u*g - 14*g + 35 = 0. What is the least common multiple of g and 13?
91
Let l = 18163/8 - 2274. Suppose 0 = -5*t - 17 - 28. Find the common denominator of ((-1)/(-6))/(t/(-450)) and l.
24
Calculate the common denominator of -89/8 and (-1)/(-12) - (-6847)/24108.
392
Calculate the common denominator of (-306)/255 - 24/(-20) - 27/4 and 91/122.
244
Let l = 57629/7284 + 3/607. What is the common denominator of ((-228)/594)/(8/(-30)) and l?
132
Let g(s) be the first derivative of s**3/3 + 17*s**2/2 - 12*s + 11. Let w be g(-12). What is the common denominator of 11/30 and 3/(-3) - -3*340/w?
30
Suppose 0 = -i - 5*q + 8, 9*i + 32 = 13*i - 4*q. Calculate the common denominator of (1*(-34)/(-6))/((-267)/(-9)) and i.
89
Let o(a) be the first derivative of a**4/4 + 8*a**3/3 + 5*a**2 + a - 9. Let l be o(-7). Let q(j) = j + 31. What is the least common multiple of q(l) and 8?
88
Suppose -f + 18 = 5*z, -4*f + 26 - 17 = -z. Calculate the smallest common multiple of f and 283.
849
Suppose f + 0*k + 6 = 4*k, 12 = 3*k. Suppose d - f = 2*y, 8*d - 23 = 6*d + 3*y. What is the smallest common multiple of d and 29?
464
Let n = 36/217 - 7123/2387. Suppose 28*f - f = 4617. What is the common denominator of n and (39/2)/(f/(-95))?
66
What is the common denominator of 2569/(-2268) + 60/(-150) + 26/15 and -137/18?
324
Let t be -3*5/((-45)/168). Let y = t - 54. Suppose n + y = 0, -2*n - 10 = 3*s - 4*s. What is the least common multiple of s and 12?
12
Let j = 12197/11970 + -47/570. What is the common denominator of j and -73/252?
252
Suppose 8*c = 8 + 24. Suppose -15*k + 154 = -c*k. Calculate the least common multiple of 18 and k.
126
Let n = -56634733/1954 + 28984. Find the common denominator of n and 59/16.
15632
Suppose 0 = -58*i + 20*i + 7676. Suppose i = 32*h - 54. Calculate the lowest common multiple of 65 and h.
520
Suppose -4*d + 23*d + 16*d = 26495. What is the least common multiple of 2 and d?
1514
Let c be ((-395567)/259)/(24/(-14)). Let k = -885 + c. Find the common denominator of k and -62/33.
132
Suppose -429471 = -148*h + 295581. What is the least common multiple of h and 6?
9798
Suppose -9 = o - 5*f - 4, -o = 3*f - 11. Suppose 0 = -s - 3*h - 27, -h + 0*h = -5*s - 55. What is the least common multiple of o and -5 + s/(-3) + 11?
10
Let u = 79 + -53. Find the common denominator of u/((5/30)/(2/(-186))) and 4/11.
341
Suppose 13*t = 16*t - 12. Let v be 3/(5 - (8 - 4)). Let w(i) = 4*i - 6. Calculate the lowest common multiple of t and w(v).
12
Let p = -8513 + 8783. Calculate the lowest common multiple of 360 and p.
1080
Let t = -585683/571320 + 2/14283. What is the common denominator of ((-116)/(-6))/(312/117) and t?
40
Let f be -1 + 4 + (-6 - -6). Suppose -4*w - 7 = f*t - 1, -3*w = 2*t + 3. Calculate the least common multiple of (-3 - 174/(-8))*(-16)/t and 20.
100
Let s be (6/(-3))/1*18/(-12). Suppose -7*f - s = -6*f. Find the common denominator of ((-4)/(-21))/(f - (-925)/285) and 55/4.
196
Let s = 53831/47982 + -1/1454. What is the common denominator of s and -67/165?
165
Suppose b - 17*a = -12*a + 2, 0 = -2*b - a + 15. What is the smallest common multiple of 226 and b?
1582
Suppose 252*j - 27730 = 205*j. Calculate the smallest common multiple of j and 5.
590
What is the lowest common multiple of 109 + (-2 - (-3 - 9)) and 11?
1309
Let b = -300523/64620 - -2/3231. Calculate the common denominator of 27/4640 and b.
4640
Find the common denominator of ((-149)/3)/(1 + 23) and -13*148/481*134/384.
144
What is the common denominator of -115/384 and 3157/(-2132) + 14/(-28)?
4992
Suppose 0*w = w - 8. Let j = -4 + w. What is the lowest common multiple of j and 3*-5 + 72 + -46?
44
Suppose -4*b - 436 = -2*p + 396, -6*p = -5*b - 2503. What is the smallest common multiple of 760 and p?
8360
Let t be 9 + 2 - (1 - 0). Let x(s) = s. Let z be x(t). What is the common denominator of -109/24 and (z/16)/((-3)/(-100))?
24
Let r be (-36)/7244*(-41826)/(-4464). Let g = r + 4/1811. What is the common denominator of g and (-6)/(-15) + (-214)/(-40)?
248
Suppose -s = 2*s - 2*f - 3, 0 = s - 3*f + 6. Suppose -2*q + 6*q + 6 = 2*r, 33 = s*r + 2*q. Calculate the smallest common multiple of 9 and r.
9
Let r(h) = h**2 - 4. Let c be r(-4). Suppose 0 = -0*k - 3*k - c. What is the lowest common multiple of 12 and 8 - (2 + 2)/(k + 6)?
12
Let b = 591659/30 - 19720. Let i = 771807 + -426805388/553. Let r = i + -13/79. Find the common denominator of r and b.
210
Let f(t) = 13*t**2 + 5*t - 4. Let n be f(1). Calculate the smallest common multiple of 18 and 5753/77 + -9 - (-4)/n.
198
Let p = 53 - 49. Suppose 3*n = 4*h + 12, -8 = n - p*h - 20. Suppose n = -d + 2*b + 18, d + 3*b = -2*d + 18. Calculate the least common multiple of 6 and d.
30
Suppose 0 = -2*z - 195 - 901. Find the common denominator of -107/40 and (z/(-20))/(36/(-15)).
120
Suppose -2*j - 8 = -m, 4*m + 0*j = -5*j - 20. Suppose m = -4*c - 5*k + 306 + 117, -4*c = -2*k - 402. What is the least common multiple of c and 12?
204
Suppose 36 = 2*p + 4*v - 20, 33 = p + 3*v. Calculate the common denominator of (20944/12)/11*(-2)/(-16) and ((-10)/30)/(p/14).
54
Let r(d) = 370*d + 932. Calculate the lowest common multiple of 2680 and r(4).
24120
Suppose -917 = 12*w - 5*w. Let m = 135 + w. What is the least common multiple of m and 136?
136
Let d = 1/264225 - -1391558/7134075. What is the common denominator of d and 92/135?
405
Let d = -224636443/588 - -382035. What is the common denominator of d and 67/588?
588
Suppose -s = 4*s - 160. Let z(r) = 74*r - 156. Let l be z(7). Suppose 24*i - 118 = l. Calculate the lowest common multiple of i and s.
160
Suppose -26120 = -33*h + 3052. Suppose -34*b + 17*b + h = 0. Let f(q) = 8*q - 4. Calculate the lowest common multiple of b and f(3).
260
Let b = -190829/12 - -15914. What is the common denominator of 31/1130 and b?
6780
Find the common denominator of (2/90)/((-16)/((-4992)/(-338))) and -19/611.
9165
Suppose -3*a - 23 = -2*v, -2*a + 12 + 3 = 3*v. Let w be (v/(-245))/(2/(-675265)). Let n = w + -9653. Find the common denominator of n and -69/8.
56
Let g(q) = -12*q + 171. Let w be g(-19). Calculate the common denominator of 8/(-6)*w/(-1540) and -71/45.
495
Find the common denominator of (15/((-20580)/(-448)))/((-3)/(-21)) and -47/321.
2247
Let r be 7*5/105*-10053. Let c = 26893/8 + r. Calculate the common denominator of c and -85/36.
72
Let o be 141692/32 - (-3)/(-3). Suppose 3*s - 4*q = 488 + 12762, -4*s + 17674 = 2*q. Let v = o - s. What is the common denominator of v and -83/2?
8
Let d be ((-12)/(-3) + -5)/((-3)/(-114)). What is the least common multiple of d/(-14) + 11/((-693)/(-18)) and 3?
3
Let q be (-9)/7 - (-4)/14. Calculate the common denominator of 6084/162 - 16/(-36) and (-1906)/(-44) - ((-18)/(-22) + q).
2
Suppose 0 = 2*x + 5*c - 91, 3*c = 2*x - 22 - 29. What is the lowest common multiple of 51 + 7/(56/72) and x?
660
Let x = 37409/21420 - 75/476. Calculate the common denominator of ((-44)/(-66)*33/(-35))/((-60)/(-400)) and x.
630
Let w be (807120/100885)/(-4) - -2. Let s = w - 3046703/242124. Find the common denominator of 13/46 and s.
276
Let s(y) = -12*y - 3. Let a(i) = -37*i - 9. Let g(v) = -4*a(v) + 11*s(v). Calculate the least common multiple of 25 and g(2).
175
Suppose 654 - 231 = -9*o. Let g = -39 - o. Let u(p) = -p**2 + 6*p + 38. Calculate the least common multiple of u(g) and 20.
220
What is the common denominator of (3/(-27))/(33/1881) and 1/(3 + 18)*44?
21
What is the common denominator of -71/3045 and (-18)/(-135) - 582/3465?
33495
Suppose -88 = -63*f + 19*f. Let n(u) = -20*u - 7. Let p(m) = 41*m + 14. Let k(r) = -5*n(r) - 2*p(r). What is the least common multiple of k(f) and 3?
129
Calculate the common denominator of -11 - (-8 - (-7475)/(-2626)) and -89/50.
5050
Let l(t) be the second derivative of -t**4/12 + 11*t**3/6 + 9*t**2 + 40*t - 3. What is the smallest common multiple of l(11) and 24?
72
Let i = -21786 + 359