3 - 4*l**2 + 19*l + 10. Let d be f(5). Find the common denominator of d/(-3825)*35/2 and -19/27.
459
Suppose 20*j + y = 19*j + 908, 2*y + 1792 = 2*j. What is the lowest common multiple of j and 656?
7216
Let w be ((-1630711)/(-355))/((-2418)/155). Let z = 3825/13 + w. Calculate the common denominator of -30/7 and z.
2982
Suppose 13*f + 24 + 15 = 0. What is the common denominator of 4 + f*199/66 and -65/22?
22
Suppose 0 = -2*s - 5*x + 32, -x = -5*s + 44 + 9. Let o be (-1702)/(-297) + -5 + 57/s. Let l = -140/27 + o. Find the common denominator of l and -41/11.
11
Let w be (-219)/(-2 + 6/2). Calculate the common denominator of 133/372 and w/(-36) + 2 + -5.
372
Let f be (3 - -7)*(3 - (-78)/30). Suppose 11*z + 3*z = f. Calculate the lowest common multiple of z and 360.
360
Let c = 4920353/24810 - 53/2481. Let v = -207 + c. What is the common denominator of 10/35 - 16207/1330 and v?
10
Calculate the least common multiple of 282 and (-72)/(-1 + 10) - -7 - -139.
6486
Let j(r) = 39*r - 26. Let b be j(6). Suppose 30*m + b = 43*m. Calculate the lowest common multiple of m and 504.
1008
Let j = 64 - 64. Suppose j*p = 5*i + 4*p - 5142, -4*i = p - 4118. What is the common denominator of (-2 + 41/20)*i/(-15) and 111/14?
210
Let m be (-8)/28 - (-26360862)/1260. Let a = -20918 + m. Find the common denominator of -23/48 and a.
240
Suppose 1030*r + 576 = 1034*r. Calculate the smallest common multiple of r and 132.
1584
Let c = 1 + 0. Calculate the common denominator of ((-206)/(-927))/(24/(-387)) and (29/(-18))/(c/4).
36
Let l be ((-19)/(-9))/(411/36*2). Let x = l + 11813/4110. Find the common denominator of -61/54 and x.
270
Calculate the least common multiple of 852 and ((-379)/(-379))/(1/36).
2556
Let p be (1 - (-16)/12)*90. Suppose -2*q = 3*q - p. Find the common denominator of -41/6 and (-3)/(q/(-50)) + -4.
42
Let x(k) = 4*k**3 - 2*k**3 + k**2 - 3*k + k**2. Let c be ((-8)/(-32) - 1) + ((-19)/(-4) - 2). What is the least common multiple of 15 and x(c)?
90
Suppose 8 = 3*m - t, -11*m + 12*m + 3*t = -4. Suppose -8*n = 2*k - 4*n - 92, -m*k = -5*n - 92. Calculate the smallest common multiple of k and 12.
276
Let i be 3 - 7 - (-370)/184. Let f = i + -52/23. Calculate the common denominator of 63/46 and f.
92
Suppose -2*n + l = -20, 4*n - 20 = 2*n - 5*l. Calculate the smallest common multiple of n and 3895.
7790
Suppose -4*v = -m - 262, m + 17*v = 13*v - 278. Calculate the common denominator of -23/4 and ((-18)/75)/(4/m*-6).
20
Let i = -44 + 48. Suppose x - 5*x - 3*l + 15 = 0, -4*x = 5*l - 25. What is the least common multiple of i and 1 + (-26 + x)*3/(-2)?
40
Let s = 344 + -277. Suppose s - 74 = u. What is the common denominator of 89/12 and u?
12
Let o be (-2)/5 - 2*(-45496)/(-13920). Let f = o - 26/29. Calculate the common denominator of f and -358*3/72 - -5.
12
Let t be 6/((6/(-10))/((-8)/(-10))). What is the common denominator of t/(-7)*(-7)/(-9) and -37/6?
18
Let x(w) = -89*w + w**3 + 8*w**2 + 18*w**2 - 74 - 55*w**2. Calculate the smallest common multiple of 60 and x(32).
300
Suppose 5*i + 5*p = 3680, 3*i - 2947 = -i - p. Calculate the common denominator of i/(-43617) + (1 - 5/7) and 3/11.
1023
Suppose 5*t - 2*v = 2162, -t - 1562 = 2*v - 1980. Calculate the lowest common multiple of t and 8.
1720
Let a = 33373 + -29313. What is the smallest common multiple of a and 1218?
12180
Let t(d) = -d**2 + 54*d - 50. Let j be t(53). Calculate the common denominator of -26/11 and j + -6 + 2 + -20.
11
Suppose 57*a + 121*a = 6*a + 4128. What is the smallest common multiple of a and 8?
24
Suppose -2*d + 2*s + 218 = 0, -2*s = -3*d + 2*d + 111. Suppose 0 = -4*n + 5*q - d, 2*q + 5 + 5 = 0. Find the common denominator of n/4*(-462)/(-189) and 83/6.
6
Let d = -1123367/9253185 - 6/36287. What is the common denominator of d and -37/234?
19890
Let l = -4423493/13033020 + 1/78988. What is the common denominator of 19/99 and l?
495
Suppose 1239*p + 26296 = 1315*p. What is the smallest common multiple of p and 6?
1038
Suppose 3*b = -1 + 13. Suppose -q - 4*s - 2 = 0, 0 = -3*q + b*q + s - 13. Calculate the common denominator of 22/7 and ((-2)/q)/(4/(-116)).
63
Let k be ((-1 - -4)*-1)/((-3)/4). Suppose 2*x = -3*y + 24, 50 = 3*x - k*y - 20. Calculate the smallest common multiple of 6 and x.
18
Let v = -22054 + 22063. What is the lowest common multiple of 123 and v?
369
Suppose -c = -4, 5*g + 0*g + 5*c = 25. Suppose -o = f - 4*f + 253, 0 = o + g. Calculate the least common multiple of f and 6.
84
Let l be (38660/(-406440))/((-2)/(-716)). Let h = l - 7/2258. Let n = 380/9 + h. What is the common denominator of n and 5/48?
48
Let h(w) = 3*w**3 - 69*w**2 - 32*w - 179. Calculate the lowest common multiple of 213 and h(24).
2343
Let c be 2*-2*(-1)/(-4) - -47. Suppose 5*t - t = -128. Let p = t + c. Calculate the lowest common multiple of 6 and p.
42
What is the least common multiple of (0 - -1) + (1 - -13) + (0 - -7) and 14434?
158774
Suppose 6*g - 4*g = -4. Let y be 0 + 1 + g - (-1 - -1). Let r = 21 - y. What is the smallest common multiple of 2 and r?
22
Let y(o) = -2*o**2 + 55*o - 40. Let w be y(24). Let s = w - 94. What is the smallest common multiple of s and 10?
170
Let g(y) = y**3 + 12*y**2 + 10*y + 16. Let l be g(-8). Suppose -4*d + l = 5*p, 0 = -7*d + 4*d - 4*p + 144. Calculate the smallest common multiple of 64 and d.
192
Let y = -1936687673/3553021332 - -31/633676. Let g = 21292142/1171863 - y. Let v = g - 10/209. What is the common denominator of v and 52/11?
33
Let j = 1449 - 1425. Calculate the smallest common multiple of 704 and j.
2112
Let m = 2626 + -52461/20. What is the common denominator of m and 51/2144?
10720
Let r = 13865 - 5669. What is the least common multiple of 5 and r?
40980
Let t(n) = 4*n**2 + 2*n + 9. Let q(h) = h**3 + 8*h**2 - 11*h - 8. Calculate the smallest common multiple of q(-9) and t(4).
810
Suppose 6*x = 18180 - 3444. What is the smallest common multiple of 1842 and x?
7368
Let o be 5 + -2 - ((-35305)/(-425100) - 1). Let q = o + -2/7085. Calculate the common denominator of q and 11/36.
36
Let i = -27 + 355. Suppose 0 = 15*a + i - 1108. Calculate the least common multiple of a and 52.
52
Let q(p) = p + 27. Let x be q(-12). Let n be (-14)/35 - 9/x. What is the common denominator of -1 - n - 41/(-2) and 13/12?
12
Let p be (-8)/(-6)*(4 + 40 - -7). Let d(z) = 4*z**2 + 8*z + 3. Let i be d(-5). Let n = p - i. What is the least common multiple of n and 8?
40
Calculate the common denominator of -46/663 and (8/(-260))/(((-3)/(-4))/((-1435)/(-28))).
663
Suppose 6*h + 27 = -9. Let r(x) = -x**3 - 5*x**2 - 2*x + 4. Calculate the least common multiple of 9 and r(h).
468
Suppose 7*q + 286385 = -4*q. Let u = -2577427/99 - q. Calculate the common denominator of 79/10 and u.
990
Suppose l - 3*l = 24. Let a be (-6)/l + 33/2. Suppose -a*m + 6*m = -22. Calculate the lowest common multiple of m and 18.
18
Let j be (-11)/2 + (-6)/(-12). Suppose -44 - 78 = -20*r + 18. Calculate the least common multiple of r and (-8)/(-3) - j/15.
21
Let r(g) = -g**2 - 19*g - 19. Let b be r(-1). Let p = -357/44 + -7/11. What is the common denominator of p and b/(-2) - (-4320)/(-1056)?
44
Let v = 33876 + -31540. Calculate the least common multiple of 80 and v.
11680
Suppose 4*l - 9 = -4*v + 19, 5*l + 1 = 4*v. Suppose 35 = 3*r + v*g, r - 8 = g - 1. What is the smallest common multiple of (-935)/(-323) + (-2)/(-19) and r?
9
Suppose -78*a - 4*a + 2970 = -16*a. Calculate the least common multiple of a and ((-198)/44)/(0 - (-2)/(-4)).
45
Let d(f) = f**3 - 5*f**2 - 1. Let u be d(5). Find the common denominator of 52/(-16) + 4 + (-93)/(-30) and (-3 - u) + 2/36.
180
Calculate the smallest common multiple of 441 and 2/(-23) + ((-40608)/46)/(-9).
882
Let m = 215153 - 380390573/1768. Find the common denominator of -67/1326 and m.
5304
Suppose 21*y = -8*y + 558960 + 552146. What is the smallest common multiple of 10 and y?
191570
Let x = 114 - 223. Find the common denominator of 3 - -1 - x/(-24) and ((-92)/(-16))/(5/4).
120
Let g(c) = -c**3 + 7*c**2 - c - 1. Let x(t) = 6*t + 21. Let a be x(-5). Let o(b) = -b. What is the smallest common multiple of g(4) and o(a)?
387
Let l = 17/140 - -1409/70. Let z = 5381/510 - -24/85. Find the common denominator of z and l.
12
Find the common denominator of (-2)/7 - ((-57