24755. Let n be 29065687/1824 + (-4)/(-3) + -2. Let q = n - u. What is the common denominator of 23/11 and q?
352
Let q(o) = -o**2 - 31*o + 19. Let x = -283 - -253. Calculate the least common multiple of q(x) and 49.
49
Let q = -1669743/864292 - -2/19643. Calculate the common denominator of q and 10/209.
836
Let y = 985 - 17735/18. What is the common denominator of (-155*(-22)/935)/(48/(-20)) and y?
306
Let s be (-3)/(-9) + 65750/24. Let i = -8248/3 + s. Let w = -5489/4 + 1376. Find the common denominator of w and i.
12
Let g(j) = j**3 + 2*j**2 - 40*j + 13. What is the least common multiple of 18 and g(7)?
522
Suppose -4*k = -j - 13, 29*k - 28*k = -2*j + 28. Calculate the smallest common multiple of 15 and j.
165
Let f(g) = -84*g - 1561. What is the smallest common multiple of f(-27) and 303?
2121
Let h(c) = 15*c + 1352. What is the lowest common multiple of h(0) and 1859?
14872
Let z be ((-20)/(-18))/5 - 1130606/315180. Let o be 12/204*(-3)/(-103). Let a = o - z. Find the common denominator of a and -101/6.
30
Suppose 19*t = -0*t - 2375. Find the common denominator of -51/80 and ((-10)/t)/(40/2675).
80
Let n = 12154911/2539838 - -2/181417. What is the common denominator of (-4)/(-9)*151/8 and n?
126
Find the common denominator of (7/49)/(70/3046) + -6 and 41/273.
9555
Suppose -742 = -2*i - 5*o - 13, -2*i + 719 = 3*o. Calculate the smallest common multiple of 88 and i.
352
Let b(m) = -m**2 + 10*m + 3. Let k be b(10). Suppose k*r + 3*y = -y + 108, r - 23 = 3*y. Calculate the smallest common multiple of 18 and (-10)/(-45) - r/(-18).
18
Let f be (-14)/((-756)/(-219435))*2/5. Suppose 4*c - 2*s + 6500 = 0, 5*s + 4897 = -3*c + s. Let h = c - f. What is the common denominator of 9/8 and h?
72
Suppose -4*m - 5*b + 195 = 0, m + b - 49 = -0*b. Suppose 12 = -4*i, 2*i - 8 = 4*g - m. What is the common denominator of 7/3 and 2/g + (-443)/(-18)?
6
Let x(i) = -i**3 + 12*i**2 + 4*i - 68. Let p be x(13). Let n = 186 + p. What is the smallest common multiple of 2 and n?
2
Let d(o) = 22395*o**3 + 3*o + 2. Let x be d(-1). Let p = x + 716773/32. Calculate the common denominator of p and 35/128.
128
Let a = -115 - -121. Suppose 0 = -10*v + a*v + 256. Calculate the lowest common multiple of 44 and v.
704
Suppose 3*s = -3*f + 6, 0 = 9*s - 4*s + 10. Suppose 77 + 115 = f*z. What is the lowest common multiple of 24 and z?
48
Let d be (-34)/(-6) + (-6)/9. Let t = -3019 + 3045. Suppose -d*x - 8*x + t = 0. What is the smallest common multiple of x and 10?
10
Let v be 9316 + (18/3)/3. Let x be 4/12 + (-3122)/v. Let o = -479477/232950 + x. Calculate the common denominator of 1/8 and o.
200
Let y(g) = g**2 + 12*g + 20. What is the least common multiple of y(-12) and 4 - (-5 + 9 - 54)?
540
Suppose 5*k + 0*o = -4*o - 2750, o = 4*k + 2200. Find the common denominator of -36/7 and k/(-30) - (-3)/((-6)/(-8)).
21
Calculate the common denominator of -19/420 and 10*-1 + (-4)/38220*-96299.
5460
Let u = 4784867/6 + -793830. Let t = u - 3638. Find the common denominator of -1/143 and t.
858
Let v(y) = -2*y - 21. Let w be v(-10). What is the smallest common multiple of (19 - w)/(17 - 15) and ((-2)/(-5))/(7/175)?
10
Suppose y = -f + 3, -y - 3*f + 1 = 6. Let w be y*((-54)/(-14) - 1). Calculate the common denominator of 59/8 and 7/w + 13 + -16.
40
Let d = 343 + -238. What is the common denominator of (1/58)/(d/4130) and -145/6?
174
Let n(c) = -c**3 + 6*c**2 + 21*c - 33. Let g be n(8). What is the least common multiple of 51 and (-48 + (g - 10))*(-4)/6?
102
Find the common denominator of (-1 - 306/(-300))*(-310)/(-30) and 59/22.
1650
Suppose 0 = 3*y - 6. Let x be 4*((-30)/4)/(-5). Suppose -i - y*i = -x. Calculate the smallest common multiple of i and 18.
18
Let z = 2643679 + -58173557/22. Let w = 575 + z. Find the common denominator of w and -26*(0 + -2)/(-32).
88
Calculate the smallest common multiple of (-10)/(-4) - (-9 + 38465/(-70)) and 3.
561
Let j be 4618/((-36)/4*(-2)/3). Let d = j + -8945/12. Let u = 23559/22724 + 3/1748. What is the common denominator of d and u?
52
Let f = 32 - -43. Let s = f + -51. What is the least common multiple of s and (-5 - -2) + 19 - (-16)/4?
120
Suppose 17*d - 1131 = -15*d + 3*d. Let c = -24 - -41. Let m = d - c. What is the smallest common multiple of 6 and m?
66
Let c be (-5)/(-1) + -13 + 14. Let z be c/(-12)*(17 + 1). Calculate the common denominator of -43 and 1/6*61*z/18.
12
Let d be ((-56268846372)/(-88))/((4 - 8)/2). Let u = -319691180 - d. Let m = u - 18172. Find the common denominator of -39/20 and m.
220
Let l(f) = -4*f**3 - 2*f**2 + 66*f + 67. Calculate the lowest common multiple of 1902 and l(-1).
1902
Let f(c) = c**3 + 5*c**2 - 13*c - 6. Let o be f(-7). Find the common denominator of -2*o/120 + 2/2 and -1/36.
180
What is the common denominator of -6 + 1 + ((-871)/(-44) - 17) and 29/568?
6248
Calculate the common denominator of (-42)/21*2 + 36814/9240 and 97/840.
9240
Let x(a) = 4*a - 10. Let j be x(8). What is the common denominator of 9/27*156/j and ((-42)/(-9) - 0)/((-1180)/(-1298))?
165
Let u(k) = -k**2 - 94*k - 1729. Calculate the lowest common multiple of 4384 and u(-27).
21920
Let v(y) = 5*y + 1. Let c be v(1). Suppose -16*o - 58 = -218. Suppose o = c*x - x. Calculate the least common multiple of 14 and x.
14
Let i(v) = v**2 - 2*v + 26. Let w be (-3 + 6/3)*0. What is the common denominator of (-2 - 4)*34/(-44) and i(w)?
11
Let m(o) = -3*o**2 + 20*o - 2. Let a be m(7). Let q be (-2)/a + 3961/(-45). Let b = 87 + q. What is the common denominator of b and 71/38?
190
Suppose -9*b + 4*b + 170 = 0. Suppose 0 = -6*h + 41 + 19. What is the lowest common multiple of h and b?
170
Let q(w) be the third derivative of w**5/60 - 7*w**4/24 - w**3/2 - 7*w**2. Let z be q(-2). Calculate the lowest common multiple of 18 and 16 + (z + 5)/(-5).
36
Let r = 14350 - 258271/18. Find the common denominator of r and 23/7068.
21204
Let p be (-1)/8 - (-660)/160. Let i(j) = j. Let d be i(p). Suppose -2*y + 18 = d. Calculate the least common multiple of y and 11.
77
Let v = -18999 + 19163. Calculate the smallest common multiple of v and 356.
14596
Let p = -167807019539/31846 + 5269328. Calculate the common denominator of p and 79/16.
254768
Suppose -5*r + 5*a = 10, a + 4*a - 10 = 3*r. Let x = -64434 - -644319/10. Find the common denominator of x and -2 + (-206)/(-146) - r.
730
Suppose 5*t - 43 - 17 = 0. Suppose 4 = -t*k + 14*k, 5*q + 3*k = 56. Calculate the lowest common multiple of q and 70.
70
Let n = 10755 + -107431/10. What is the common denominator of n and (1/9)/((-40)/276)?
30
Let c = -39 - -73. Let i = 35 - c. Calculate the smallest common multiple of 4 + 4 - (i + 1) and 6.
6
Let l = -1/15591 - -1200565/904278. What is the common denominator of l and -11/2?
58
Let m = 6757/542 + 3786245/35772. Let c = -1393/12 + m. Calculate the common denominator of c and -151/696.
7656
Let m(z) = z**3 - 10*z**2 + 12*z - 9. What is the smallest common multiple of m(9) and (((-996)/(-20))/1)/(18*(-1)/(-60))?
1494
Let t = 266179/606770 - 212/1291. What is the common denominator of 0 - 0 - 213*(-10)/(-300) and t?
470
Let i = -330/43 + -1273/344. Find the common denominator of 423/(-9)*1/(-158) and i.
632
Let j = -572 + 1170. Calculate the least common multiple of (3 + 10/(-6))/((-20)/(-30)) and j.
598
Let x(r) = 35*r. Let v = 30 + -28. Let f be x(v). Let w = f - 46. Calculate the least common multiple of 18 and w.
72
Let j = -40/13 - -761/260. Find the common denominator of 2/41 + (-73684)/(-106600) and j.
100
Suppose -3920 = -29*o + 15*o. Calculate the lowest common multiple of o and 56.
280
Suppose 63 - 58 = c. Let t(m) = -14 - 3*m**2 - 9 - 16*m**2 - 3*m**3 + c*m**3 - 7*m. Calculate the smallest common multiple of 32 and t(10).
224
Let v be (-28817)/(-30)*-8*(-2)/16. Let o = v - 4799/5. What is the common denominator of o and 163/30?
30
What is the common denominator of 14/112 + 3*6/(-288) and 37/256?
256
Let z(q) = -q**3 + q - q**3 - 8*q**2 + 3*q**3 + 3. Let d be z(8). Let y = d - 9. What is the lowest common multiple of 8 and y?
8
Let n(i) = i**3 - 27*i**2 + 27*i + 10. Let o = 692 + -666. Calculate the lowest common multiple of n(o) and 3.
36
Calculate the least common multiple of 790/((-220)/(-22)) + -19 and 840.
840
Calculate the common denominator of 1537/20405*((-6)