nd o(3).
2904
Suppose -4*n = 83 + 1353. Let w = 399 + n. What is the least common multiple of w and 196?
1960
Let a = -23 + 47. Calculate the common denominator of (-10 + 12)/(-12)*(-90)/38 and (2 - 41/a)*52.
114
What is the lowest common multiple of ((-7632)/90)/(((-12)/(-10))/(-3)) and 583?
2332
Let t(x) = -x**3 + 22*x**2 - 12*x + 38. Let j be t(22). Let n = 248 + j. What is the lowest common multiple of n and 60?
660
What is the common denominator of (-165)/50*(-13)/(-234) and 43/48?
240
Let t = -235652 - -52550407/223. Let j = -3098 + 34026/11. Calculate the common denominator of j and t.
2453
Suppose -29*g + 61*g + 45*g = 3696. Calculate the least common multiple of 33 and g.
528
Let z(o) = o + 3. Let q be z(0). Let n = 53/34 - -1339/68. Calculate the common denominator of n and (-171)/72 + q + -1.
8
Let f be -4 - (5 + 78205/(-8120)). Let v = f + -19/58. What is the common denominator of v and 1/28?
56
Suppose -4*n - w - 477 = -0*w, 0 = -3*n + w - 363. Let x = -121/28 - 17/252. What is the common denominator of x and (-10)/n - 241/(-60)?
90
Let u be (-4)/4 + 1 - 506355591/(-3150). Let j = u - 160749. Calculate the common denominator of -17/30 and j.
150
Let i(g) = -g + 9. Let n be i(4). Suppose 5*w = 3*t + 9, 3*w = -t + 3*t + n. Find the common denominator of w + -1*(-355)/20 and -32.
4
Let v be -4 - 8/(24/(-4761)). Let j = v + -9569/6. Find the common denominator of (-2)/(-3) - 22/60 and j.
30
Calculate the common denominator of -27/230 and ((-196)/35)/14 - (-602)/1840.
920
Let l be ((-138696)/28)/(34192/(-63)). Let z = 4/2137 - l. Let r = 3/244 - 1985/2684. Calculate the common denominator of r and z.
88
Let p(g) = -14*g - 53. Let d be p(-4). Suppose 0 = d*j + 57 + 9. What is the common denominator of (-290)/(-24)*j/165 and -51/10?
90
Let z = 4671 - 11286. Let q = -297689/45 - z. Calculate the common denominator of -3/5 and q.
45
Let p = 100 + -70. Calculate the common denominator of 2 + 36 + 7 + p/(-3) and 47/9.
9
Let j(c) = c**3 + 8*c**2 - 9*c - 60. Let k(d) = -16*d + 252. Let m be k(16). What is the least common multiple of 8 and j(m)?
40
Let p be -5*((4 - 4 - -2) + -3). Suppose -253 = 5*r - z, -134 + 399 = -p*r + 5*z. Let m = r + 62. What is the smallest common multiple of 12 and m?
12
Let p(s) = s**2 + 23*s - 41. Let v(u) = -4*u - 1. Let x(c) = -p(c) - 3*v(c). Let a = 28 + -41. What is the lowest common multiple of 6 and x(a)?
18
Let w be 4 - 0 - 6/(-2). Suppose -12*y + w*y = -60. Find the common denominator of -25/4 and 345/y + 3 + -7.
4
What is the common denominator of (-3420)/1900 + 6/(2 - 1) and 74/27?
135
Let r = -517 - -947. Let y = -6025/14 + r. What is the common denominator of -3 + (7 - 42/132) and y?
154
Suppose 5*s = 2*m - 7*m + 1550, 1240 = 4*m - 2*s. Let o = -268 + m. What is the least common multiple of 14 and o?
42
Let p = -2/33947 + 238249/10523570. Calculate the common denominator of 69/124 and p.
620
Let u = -1139497/42 - -27135. Find the common denominator of u and -69/1925.
11550
Let h be (-4904)/11 + 48/(-264). Let k = h + 2707/6. Let a = 52/11 + -1162/297. Find the common denominator of k and a.
54
Calculate the lowest common multiple of ((-1)/10*-1*16)/(6/105) and 60.
420
Let r be (-182079)/45*(-15)/6. Let c = 9208 - r. Let v = -8233/9 - c. Calculate the common denominator of v and -55/2.
18
Let k = -27 - -26. Let z(a) = 179*a**2 - 1. Let p be z(k). Calculate the common denominator of p/(-15)*75/180 and -33/10.
90
Let z = 256/49 + -5713/784. Calculate the common denominator of z and 97/1910.
15280
Let a(q) = 11*q**2 + 63*q - 434. Calculate the smallest common multiple of 2 and a(-20).
2706
Let z = -22181/21 + 1057. Calculate the common denominator of 8/1365 and z.
1365
Suppose -2*u = 6, -p + 1196 - 41 = 5*u. Calculate the smallest common multiple of p and 312.
4680
Let l(j) = 2 + 75*j**2 + 11*j + 2*j - 32*j**2. Calculate the smallest common multiple of 10 and l(2).
200
Let t = -445 - -2621/6. Find the common denominator of (-6)/(-1296)*-50 + 3/(-4) and t.
54
Let g(r) = 3*r**3 + 181*r**2 + 60*r + 16. Calculate the least common multiple of g(-60) and 1766.
14128
Let d(g) = 4*g + 2 + 9*g**2 - 13*g**3 - 6*g**3 - 6*g**2. Suppose -v + 5 = -1. What is the least common multiple of v and d(-2)?
474
Calculate the least common multiple of 241 - 3 - 11/(88/(-56)) and 63.
2205
Let h be (-278)/(-7) + (-2)/(-7). Calculate the lowest common multiple of (-48)/22*(-198)/36 and ((-24)/h)/(1/(-10)).
12
Let b be 1/(6/112) + (-8)/12. Calculate the common denominator of 1676/(-672) + 2 + 4/14 and (2/((-16)/(-298)))/(b/(-4)).
72
Let b = 1/794 + 52001/4764. Find the common denominator of -41/3459 and b.
13836
Let i(f) = f**2 + 12*f + 17. Let m(d) = d - 11. Let b be m(7). Let x be i(b). Let u = 39 + x. Calculate the least common multiple of 3 and u.
24
Calculate the common denominator of (3549/1575)/(2/(-5)) and (-251)/(-105) + 2/(-15)*-1.
210
Let p = -8/3 + -50/33. Find the common denominator of p and -3/1033.
11363
What is the common denominator of 1*(-6)/56*((-925)/(-888) - -3) and 87/784?
1568
What is the common denominator of 86/15 and (1682/203)/((-29975)/(-77))?
8175
Let r = -332 - -93. Let v = 429/2 + r. Let m = 54961/574 + -3999/41. What is the common denominator of v and m?
14
Let k(q) = 2*q**3 + 22*q**2 - 4*q - 28. Let t be k(-11). What is the common denominator of 17/6 and (-18)/t*124*7/2562?
732
Let s = 6045311 - 90628964/15. Let z = s - 3382. Find the common denominator of z and -42/19.
285
Suppose -2*u = 2*z - 22, -z - u - 7 = -2*z. What is the smallest common multiple of -55*(128/(-60) + (-6)/z) and 22?
154
Calculate the least common multiple of (-1)/(27/(-6)) - 1027446/(-3213) and 2040.
16320
Find the common denominator of (560/12050)/(-28)*61/4 and -31/4.
4820
Suppose -5*z + 4*l = -692, l = -6*z + 11*z - 683. Calculate the lowest common multiple of (-21 + z)/((2 - 0)/2) and 4.
460
Let a = -14 - -97/7. Let i = -599/15 - -2293/30. Find the common denominator of a and i.
14
Let c = 24 + -6. Let d(q) = -44*q + 146. Let s be d(16). Let v = 564 + s. What is the smallest common multiple of c and v?
18
Let a(y) = y**3 + 10*y**2 + 4. Suppose 24 = -2*s + 4. Let r be a(s). What is the common denominator of -5/24 and -3 + (-71)/(-14) + r?
168
Let r(j) = -2*j**2 + 21*j - 20. Let m be r(9). Suppose -m*b = 1 + 6. Let g = 22 + b. Calculate the lowest common multiple of g and 6.
42
Suppose -4*x - 128 = -68. What is the common denominator of (8 - 3) + (21900/208)/x and 97/6?
156
Let w be 5/(-5)*46/2. Let c = w + 25. Suppose x = -c*y + 18, 5*x + 0*y + 4*y - 72 = 0. Calculate the lowest common multiple of x and 22.
132
Let s be 32/14 - (-16)/(-56). Find the common denominator of 143/12 and (3440/(-1920))/(4/s).
48
Let s = 2359 - 150969/64. Calculate the common denominator of -13/138 and s.
4416
Find the common denominator of (-1062)/280 + (-27)/(-5) + -5 and (-606)/56*((-126)/(-27))/14.
28
Let x be ((-9)/6 + -1)*(-32)/40. Suppose 0 = -x*a + 2*j - 7*j + 18, 0 = -3*j + 6. What is the least common multiple of 42 and a?
84
Let x(p) = p + 14. Let t be x(5). Suppose 2*w + 51 = t*w. Let o(z) = 2*z + 1. What is the least common multiple of 22 and o(w)?
154
Find the common denominator of (-1 - (-26)/27)/(756/20250) and -35/2007.
28098
Let i(o) be the third derivative of o**6/120 + 11*o**5/60 - 3*o**4/8 - 44*o**3/3 + 96*o**2. What is the least common multiple of 33 and i(-7)?
1881
Let t(i) = -62*i - 62. Let m be t(-24). Let x = m + -12782/9. Calculate the common denominator of (-104)/32 - -3*1 and x.
36
Find the common denominator of 80/31744*-503 + 4*3/186 and (-4)/(-16) + (-94)/4.
64
Let q(a) = -a**2 - 18*a - 40. Let n be q(-16). Let t be 5 + n + (-50)/(-33). Let d = t - -4/99. Find the common denominator of 77/30 and d.
90
Let m(j) = 12*j - 1. Let y be m(3). Suppose 0 = -d + 2*n - 94 - 9, -n - 201 = 2*d. Find the common denominator of -17/5 and d/y + 18/63.
5
Let g = 78 - 64. Let z = g + 12. Suppose 0 = 4*p + 4*x - 64, -p + 7*x + 16 = 3*x. What is the lowest common multiple of p and z?
208
Calculate the common denominator of (8899/(-3236))/((-125)/66 - 4/(-6)) and -61/279.
1674
Let z(b) = 30*b**2 + 54*b - 54. Calculate the least common multiple of z(1) and 4020.
4020
Let t be -4 + (-5)/(5/(-2)). Let z = t - -16/3. What is the common deno