69, -2*d = 3*n - 106. Suppose 5*k = -k + n. What is the lowest common multiple of k and 5?
30
Find the common denominator of 45/(-300)*(-126)/3699 and 20/1233.
12330
Let y be (18/(-4))/((-1)/(-198)). Let v = -6214/7 - y. Suppose 2*r + m + 87 = 0, 4*r + 92 = -5*m - 49. Find the common denominator of r and v.
7
Let k = -15411 + 10801. Let c = -253566/55 - k. Find the common denominator of c and 47/35.
385
Let h be -3 + (-28053221)/(-57) + 0. Let v = 492171 - h. Let f = 2/19 + v. Calculate the common denominator of f and -5.
3
Suppose 6*w = 11*w + 29928820. Let y = w - -478833187/80. Let f = y - -1718/5. What is the common denominator of 31/10 and f?
80
Let o = -16296 - -17757. What is the lowest common multiple of 21 and o?
10227
Suppose 46*b = 1507 + 3461. What is the least common multiple of b and 117?
1404
Let w be (-149 + -1)*(-48)/(-120). Calculate the common denominator of -103/88 and (-7 - 425/w)*(75 - -2).
264
Let r = 8408/63 - 397/3. Let n = -2/170977 - 2222455/21030171. Find the common denominator of n and r.
2583
Let w = 23 + -21. Suppose -w*k - k = 273. Let g = -136 - k. Find the common denominator of -41/5 and g.
5
Let o = -683 + 131. What is the common denominator of 274/80 + o/(-60) + -10 and -91/8?
8
Let g = 6 - 6. Suppose g = 8*t - 43 + 1211. Calculate the common denominator of 119/20 and t/28 + 30/10 - -2.
140
Suppose j - 1 = 0, -2*i + 3*j + 5 = -2*j. Suppose 0 = k + i*p - 258, -2*k + 1334 = 3*k + 3*p. Calculate the lowest common multiple of k and 6.
804
Suppose -3*w - 344 = -2*w - 4*c, -1068 = 3*w - 3*c. Let q = w - -382. Let i = 13 - 3. Calculate the smallest common multiple of q and i.
110
Let z be 474/10*(-5)/180. Let d = -1/15 - z. Let v = -15/146 - -980/657. What is the common denominator of v and d?
36
Let z(p) = -p**2 + p + 72. Let n be z(-8). Suppose n = -4*h - 1 + 13. Calculate the smallest common multiple of 340 and h.
1020
Let i(w) = w**3 + 31*w**2 + 27*w + 166. Let z be i(-30). What is the least common multiple of 30 and z - (-1 + -2) - 7?
1260
Find the common denominator of (-4)/7 + 38743/71337 and 101/84.
6636
What is the smallest common multiple of 40 and 10/25 - 276/(-10)?
280
Suppose -4*h - 3*k = -3255, 3*k + 3474 = 3*h + 1059. Calculate the smallest common multiple of 972 and h.
4860
Let j be (-38)/(-133) + (-30119589)/(-1680). Let r = j - 17928. Calculate the common denominator of r and -143/30.
240
Suppose -2*f = -a - 405, 3*a = 5*a + 3*f + 831. What is the common denominator of 59/30 and a/(-450) + 10/(-15)?
150
Let l = -8711457791/4065740 + -1/203287. Let v = l + 2144. Calculate the common denominator of 4/16 - 1/16 and v.
80
Let h(w) = -252*w - 187. Let l be h(-14). Let q = 33437/10 - l. What is the common denominator of (3 - 1) + 173/(-48) and q?
240
Let m be 4 + (842892/(-182070))/2. Let t = m - -2/4335. Find the common denominator of -2/7 and t.
35
Let s = -289 - -289. Let o(u) = 2*u**3 - u + 10. Calculate the lowest common multiple of o(s) and 84.
420
Let j(g) = 40*g**3 - 3*g**2 - g + 5. Let t be j(2). Suppose r - 81 = 5*m, -5*r + m - 26 = -t. What is the smallest common multiple of r and 8?
56
Find the common denominator of (-11)/((-33)/18) + (-27)/(-1908)*-401 and 67/40.
2120
Let f = -18334 + 110389010/6021. Calculate the common denominator of f and 16/3345.
30105
Let y be ((-3)/(29736/122))/(100/37096). Let m = 8/10325 - y. Find the common denominator of m and -8/9.
90
Suppose -29*a = 77*a - 82680. What is the least common multiple of 6 and a?
780
Calculate the common denominator of ((-411)/(-54) - 0) + 0 and ((-18)/76)/((8 - 7)/(-3)).
342
Suppose 0 = 4*n - 2*h - 36, n - 3*n = h - 14. Let p = 8 - n. Suppose p = -5*m - 5*y + 60, 3*m - 8*m = 4*y - 57. Calculate the lowest common multiple of 5 and m.
45
Let j = 1178413/66 - 17856. What is the common denominator of -73/10 and j?
330
Let i = 984 + -982. Let l(w) = 5*w + 1. Let x = 8 - 6. What is the least common multiple of i and l(x)?
22
Let k(w) = -1935*w**2 + 5*w + 5. Let g be k(-6). Let v = g - -3762845/54. Let u = 8/885 - 29237/3540. Find the common denominator of v and u.
108
Let i = 17726 - 992751/56. What is the common denominator of i and 88/(-286) - (-1858)/2912?
112
Let a = -79 - -121. Let u = -2001 - -2013. Calculate the lowest common multiple of u and a.
84
Let x(i) = 13*i + 670. Suppose 2*p - k = 16, 3*k - 8 = -2. Calculate the lowest common multiple of p and x(-51).
63
Let c be (6/16)/3 - (-4221)/12312. Let o = 15109/3420 - c. Calculate the common denominator of o and -52/5.
20
Suppose 0 = -3*s - s - 5*q + 8, -4*q - 16 = 0. Suppose 5*u + 1880 = -v, -6*v + 2*v = 3*u + 1128. Let h = 385 + u. What is the lowest common multiple of h and s?
63
Suppose 5160 = 21*r + 3*r. Let i = r - 139. Calculate the least common multiple of i and 6.
228
Let f = 16787913811127/7 - 208993276248181753689/87143224. Let k = f - 6/91537. Let w = -22179/6664 - k. What is the common denominator of 51/2 and w?
98
Calculate the least common multiple of ((-21)/9)/((-3)/450) and 475.
6650
Let g(r) = -r**3 - 93*r**2 - 12*r - 1103. Calculate the least common multiple of 241 and g(-93).
3133
Suppose 3*u - 11*u + 1008 = 0. Suppose -2*m - u = -9*m. Calculate the least common multiple of (m/(-21))/((-6)/21) and 8.
24
Let c = -4978571/4686 - -11688/11. Find the common denominator of -7/284 and c.
852
Find the common denominator of 7/135 and 78/(-38) - 696/(-435).
2565
Let i = -708 + 2806. Calculate the lowest common multiple of i and 6.
6294
Suppose 101*k - 97*k = 0. Suppose 2*d - 2*j - 24 = k, 2*d - 33 - 3 = -j. Calculate the smallest common multiple of d and 38.
304
Let p be (6 - 4)*-1 + 5. Let n(b) = -18*b + 66. What is the smallest common multiple of n(p) and 4?
12
Suppose 3*g = -t + 5, -2 = 5*t - 2*g + 24. Let x be (10271/2)/(-2*t/(-32)). Let z = 493105/24 + x. Find the common denominator of -49/4 and z.
24
What is the smallest common multiple of -1*((-2)/(-5) + (-9 - (-76076)/(-140))) and 644?
3864
Calculate the common denominator of 161/8340 and ((-9)/270)/(18/4265) + 15 + -6.
75060
Let d = 22567/15810 + -32/527. Let n be 22*35/30*(-2)/(-14). Let w = n - 113/30. Calculate the common denominator of d and w.
30
Suppose -60*l = -62*l + x + 1377, 3501 = 5*l + 4*x. What is the smallest common multiple of 297 and l?
2079
Suppose -3*f - 20 = -f. Let o = 20 + f. Let b(y) = -y**2 - 15*y + 26. What is the lowest common multiple of b(-16) and o?
10
Let b(j) = j**3 + 22*j**2 - 28*j - 40. Suppose 5*h + 81 + 8 = -3*d, 57 = -3*d + 3*h. What is the smallest common multiple of b(d) and 15?
75
What is the common denominator of ((-120)/18)/(-10) + (-124)/(-18) and ((-6)/(-27) - 4581/567)/(-1)?
63
Suppose w - 4 = 4*u + 7, -4*u + 4*w = 20. Calculate the smallest common multiple of 18 and (u/(-4))/(33/3168).
144
What is the common denominator of (-38*5/(-4070))/((-4)/(-32)*4) and 115/518?
5698
Let h(z) = -z**3 + 8*z**2 + 11*z - 16. Let s be h(9). Suppose -s*v + 4 + 6 = 0. What is the common denominator of 46 and v/(-30)*(-126)/4?
4
What is the common denominator of -13/6 and -17 + 690613/27615 + -8?
7890
Let m = 306147557/780 - 392497. Find the common denominator of -111/2860 and m.
8580
Let k(n) = n**3 - 6*n**2 + 8*n - 5. Suppose -5*q + 7 = 2*a, 4*a + 2*q = -a + 28. Suppose 13*t = a*t + 42. Calculate the least common multiple of t and k(5).
30
Let b = -1180/4809 - -78/229. Calculate the common denominator of b and -38/99.
693
Calculate the common denominator of 19/384 and (1/(-24))/(1359/3775).
3456
Let u be 179/4 - (-6)/(-8). Let o = u - 40. Suppose 4*k + 2 = -t - 5, -2*k + 14 = o*t. Calculate the lowest common multiple of 4 and t.
20
Let i be (-2 + 5)*(-18130)/15. Let c = i - -32693/9. Find the common denominator of c and (-63)/315*265/(-4).
36
Let i = 733 + -1413/2. Calculate the common denominator of (-258)/20 + (-33)/(-3) and i.
10
Let a = -43203827/1694 + 25504. Find the common denominator of a and 93/242.
1694
Let l be 57 - 15/((-15)/2). Suppose -2*f + l + 34 = 5*g, -2*g = 5*f - 222. What is the least common multiple of 9 and f?
396
What is the common denominator of -65/24656 and (6 + -7)/(392/(-3087))?
24656
Let d(r) be the first derivative of -r**4/4 - 2*r**3 - 3*r**2 + 4*r - 14. Calculate the least common multiple of d(-5) and 5.
45
Let m = 25539/60242 - 2/2317. Let y = 10101