4)/((-9)/(-12)). Let n = -192 - m. What is the common denominator of g and n?
33
Let b = -99394/27 + 3684. Calculate the common denominator of 131/1326 and b.
11934
Suppose -2*q - 5*i - 509 = 0, -14 = -3*q - 4*i - 774. Let p = q + 454. What is the common denominator of 43/8 and 6/15 + 0 - p/(-120)?
24
Suppose -8*c = 6*c + 420. Calculate the common denominator of 157/90 and ((-3)/18)/((c/(-62))/5).
90
Let f be (-198)/242 + (-4)/22. Let g(y) be the third derivative of -y**6/24 - y**5/60 + y**3/6 + 3*y**2. Calculate the smallest common multiple of 2 and g(f).
10
Let l = 209/3330 + 43/90. Let r = -872/1887 + l. Calculate the common denominator of r and 71/9.
153
Let n(d) = 3*d + 9. Let r be -3*(188/(-39) + 4/26). Suppose -184 - 96 = -r*s. What is the smallest common multiple of n(7) and s?
60
Let q(j) = 25*j + 2. Let z be q(0). Suppose z*w - 7*w = 0, -4*w = 4*i - 32. Calculate the least common multiple of i and 22.
88
Suppose -20*c + 79 = -401. What is the common denominator of ((-61)/(-8)*(-17 + 19))/c and 31/36?
288
Suppose -58 - 7 = -5*u. Suppose 5*y - 324 = -u*y. What is the smallest common multiple of y and 204?
612
Calculate the common denominator of -17/4 and (2 - (-932)/(-472))/(840/144).
8260
Let r be (-31)/3 + 96/72. Calculate the smallest common multiple of (7 + r)*(-6)/2 and 192.
192
What is the smallest common multiple of (0 + 9/(-2))*(-12)/27 and 54?
54
Calculate the common denominator of 68/665 and ((-1208)/12)/(69 - 73).
3990
Let j be 1848/(-12) + 3/(-9)*-3. Let t = 29/94 - 1939/1410. What is the common denominator of t and -6 - (-1)/(j/(-840))?
255
Calculate the common denominator of 11/40 and (-2160)/(-1600)*(-11)/15.
200
Suppose 0 = -13*h + 2*h - 74855. Let g = -2796850/411 - h. Let v = -21673/9042 - g. Calculate the common denominator of -25/6 and v.
66
Let n(v) = -v**3 - 8*v**2 + 12*v + 12. Let t be n(-9). Let p be 666/t - (-2)/(-10)*0. Let r = p + 916/15. Find the common denominator of -2/15 and r.
15
Find the common denominator of (12 - (-7089)/(-600))/(2 - 4 - 4) and 19/72.
3600
Calculate the common denominator of -71/72 and 0 + 1/(-1) + (-167)/(-152).
1368
Let u(i) = -2*i**2 - 15*i - 5. Let x be u(-6). Calculate the common denominator of (40/22 - 2) + (-58476)/(-4840) and (13/6)/x*124.
30
Suppose -1666 = -b + 2*p + 731, -2*b + 4780 = 3*p. Let r = -4695/2 + b. Find the common denominator of r and -47/72.
72
Let r = 215/248 - 29279/55800. Calculate the common denominator of r and -123/40.
1800
Let u(z) = -146*z**3 - 8*z**2 + 12*z + 40. Calculate the smallest common multiple of u(-2) and 2880.
5760
Suppose -48*v + 53*v = -86*v + 1092. What is the lowest common multiple of 368 and v?
1104
Let b be (14/350)/(10/(-1201)) - 0. Let m = b - -13/125. What is the common denominator of m and 43/236?
1180
Let q be (-1 - (3 + -3))*(343 + -1). Find the common denominator of 41/234 and 4 + -1 + 3743/q.
234
Let r be (-42)/(-12) + (-1)/2. Suppose 0 = -2*z - r*q + 43, -2 = q + 3. Suppose 32 = -36*d + 320. Calculate the smallest common multiple of d and z.
232
Let s = -490 + 739. Find the common denominator of 2/(-6) + s/(-144) and -53/22.
176
Let s(w) = 717*w**2 - 38*w - 52. What is the smallest common multiple of s(2) and 2740?
2740
Let a = 79 - 31. Suppose 3*l + 2*l - 102 = -j, 2*j = 2*l - a. Let i = -86782 + 86800. What is the least common multiple of l and i?
126
Let q = -4127 - -152711/37. Let b = -586/2035 + q. Let j = b - -1041/110. What is the common denominator of 1/8 and j?
8
What is the common denominator of 97/4548 and ((-7)/((-637)/1222))/((-144)/(-56))?
13644
Let w be 6082/4 - (-10)/25. Let r = -1530 + w. What is the common denominator of (-2)/3*(-3201)/(-44) and r?
10
Let v be (2/(-5))/((-114)/450) + -4. Let n = 689/57 + v. What is the common denominator of n and 17/20?
60
Let m = -2003/2660 - 54/95. Let n be 40/30*1/((-1)/(-882)). Let h = n + -4659/4. What is the common denominator of h and m?
28
Let p = -7375 - -7429. What is the lowest common multiple of p and 720?
2160
Let f(s) = -5*s + 10. Let h be f(-16). Suppose -3*a - 7*a + h = 0. Find the common denominator of 37/9 and 2/a + -3 + (-10)/(-144).
72
What is the common denominator of -73/32 and 160/(-5760)*(46 + 1)?
288
Let t = 62263/8 + -7779. What is the common denominator of t and -74/2697?
21576
Suppose 86603 = -15*p - 38047. What is the common denominator of -4 - 0 - p/900 and -57/10?
30
Let c be 16/((2/(-56))/1). Let p = c - -4463/10. Let b = -36663/13820 + 2/691. What is the common denominator of p and b?
20
Let k = 77 - 70. What is the common denominator of -11/14 and ((-15)/36*46)/(k - 5)?
84
Suppose -5*w + w = z + 5725, 2875 = -2*w - 3*z. Find the common denominator of ((-3)/(-15))/((-1872)/w) and 143/48.
144
Let u = -546 + 1210. Find the common denominator of 6/8 + u/(-576) and -67/66.
792
Suppose -4*w - 40 = -64, -5*w + 226 = 4*b. Calculate the smallest common multiple of b and 483.
3381
Suppose -4*g - 20 = -2*n, -2*n - 18 = -n + 5*g. Suppose 2*p + n*p = 0. What is the common denominator of (284/(-18))/((p + 2)/(-1)) and 59/9?
9
Suppose 15*m + 60 = 19*m. What is the common denominator of 6/m + (0 - (-1764)/(-160)) and -41/30?
120
Let f(n) = -n**3 - n. Let d(k) = -3*k**2 - 6*k**2 - 6 + 2*k**2 + 2*k + 4*k. Let l(u) = d(u) + f(u). Calculate the lowest common multiple of l(-8) and 6.
18
Let v be 2/8 + (-56)/(-32). Suppose -y + 6 = m, -m + v + 4 = -5*y. What is the common denominator of -10/17 and (-2)/(-3)*m/(-8)?
34
Let n(h) = -2 + 10*h**2 - 17*h**2 - h + 0 + 9*h**2 - 251*h**3. Calculate the least common multiple of n(-1) and 22.
2772
What is the least common multiple of (-10)/14 - (-6350)/70 and 75?
450
Calculate the least common multiple of 8 and 40/(4/(-122)*10/70*-7).
2440
Suppose 0 = -4*s - 12, -2*t + 2*s - 85 = 97. Let v = t + 839/9. Calculate the common denominator of v and (-11765)/(-3575) - (6/110)/((-8)/(-160)).
45
Let l = 63 - 57. Suppose -8 = -2*u, 4*i + 3*u = l*u + 36. Calculate the least common multiple of i and (-129)/(-15) + 6/(-10).
24
Let n(a) = 2*a**3 + 39*a**2 - 30*a - 29. Let r be n(-20). Find the common denominator of 3/116 and 4/6*(-114)/r.
1044
Suppose -3*r + 9*r + 629072244 = 0. Let m = r + 145315698709/1386. Let h = 7/198 - m. What is the common denominator of h and -49/2?
14
Let t(o) = -5*o - 44. Let r be t(-10). What is the lowest common multiple of 1 and 793/52 + r/8?
16
Suppose g - 1422 = 4*n, n = 16*g - 14*g - 359. Let o be 9/4 + (-1)/4. Calculate the common denominator of -13/22 and 2/(o - (-680)/n).
66
Suppose -s = -f - 2, 5*f + 37 = -2*s + 62. Let j(v) be the first derivative of -v**2 + 16*v + 1. What is the smallest common multiple of 2 and j(s)?
6
Suppose 0 = 157*k - 7*k - 1273200. Calculate the smallest common multiple of k and 6.
25464
Suppose 0 = z + b + 192, 2*z + 0*z - b + 378 = 0. Let p = 208 + z. What is the smallest common multiple of 182 and p?
1638
Let t(a) = -a**2 + 137*a - 2322. What is the least common multiple of 587 and t(20)?
10566
Let k be -1 + (-2 - (-181404)/112). Let g = -1617 + k. Let s = -909 + 3603/4. Find the common denominator of s and g.
28
Suppose j - 11 = 4. Suppose 66*p - 55*p + 5973 = 0. Let k = -513 - p. What is the least common multiple of k and j?
30
What is the common denominator of 1/3092 and (17 - (-76490)/(-3000)) + (-2)/(-25)?
9276
Let f(k) = 349*k + 34. Let h be f(-30). Let n = h + 1262741/121. What is the common denominator of 46/3 and n?
363
Let p be (-12)/82*(488/(-80) - -6). Let l = p + 567/3280. Calculate the common denominator of 13/16 and l.
16
Suppose 3359 = 6*w - 2025 - 2860. Calculate the least common multiple of 2290 and w.
6870
Suppose 6*i = 335 + 1129. Let j be i/6 - 14/21. What is the common denominator of 4/j - (1 - 3) and -17?
10
Let b be (-3 - 15)/(-2 + 0). Let t be (6/b)/(5/(-12660)). Let z = t + 5012/3. Find the common denominator of -65/2 and z.
6
Let r be 2/(3*(4/(-6))/1). Calculate the lowest common multiple of (-4)/6 + -28*r/6 and 5.
20
What is the smallest common multiple of 20 and ((-2368)/80 + 24)/(2/(-185))?
5180
Let m = -84 - -108. What is the lowest common multiple of 26/((-728)/735)*-4 and m?
840
Let s be 0*2/(1 - 3). Let t = s + 8. What is the least common multiple of 6 and (t*-2)/(-8 - -7)?
48
Let f = 109 - 8. What is the common denominator of 59/35 and