d the common denominator of 1/(-2)*(-3 + k/(-45)) and 86/189.
378
Let x = 35 - 31. Let u be x - (-3 + 1 - -4). Suppose 0 = -3*v + u*d + 17, -3*v = -2*v - d - 7. Calculate the lowest common multiple of v and 4.
12
Suppose 0 = -8*w - 0*w - 24. Suppose -3*o + o - 2*n + 16 = 0, -4*o + 22 = 2*n. Calculate the lowest common multiple of (-1)/(w - 24/(-9)) and o.
3
What is the smallest common multiple of (-6)/4 - ((-5368)/16 - 6) and 112?
9520
Find the common denominator of (-135)/(-60)*52/(-8)*(-2)/(-84) and 37/104.
1456
Let d = -15/412 - -25001/2060. Let y = 632089/80 + -7901. What is the common denominator of y and d?
80
Let n(l) = 36*l**2 - 8*l + 14. Let c be n(4). Calculate the common denominator of c/(-80) - 134/335 and 15/32.
32
Let x(v) be the first derivative of -11*v**2/2 - 36*v - 34. Calculate the lowest common multiple of x(-4) and 20.
40
Suppose -5*a + 2135 = -44*s + 39*s, -4*a + 1659 = 3*s. What is the smallest common multiple of 60 and a?
420
Suppose -17*u - 50*u = 17*u - 2520. Calculate the least common multiple of 3708 and u.
18540
Let n be ((-4)/6)/(28/(-4326)). Let d = n + -79. What is the lowest common multiple of 32 and (d - 2*3/6) + 1?
96
Suppose 5*a - 12 = v + 350, -5*v = 5*a - 350. What is the common denominator of -151/36 and (-24)/a*(-109)/18?
108
Let l = 179/18 - 754/63. Calculate the common denominator of -29/192 and l.
1344
Let w = -20647911/10 - -2069359. Let l = -9235 + 13799. Let i = l - w. Find the common denominator of i and -38.
10
Let f = -259 + 263. Suppose t - f - 20 = 0. Calculate the lowest common multiple of t and 21.
168
Let s(d) = 4*d + 9. Let v be s(2). Suppose 499 = v*f - 419. What is the lowest common multiple of f and 6?
54
Suppose -10*m - 42 = -16*m. Let v be ((2 - 6) + 2)*3/(-2). Suppose -135 - 114 = -v*i. What is the least common multiple of m and i?
581
Let n = 26753/2360 - 17/472. Find the common denominator of n and 37/1157.
11570
Let b be 1 + 6/(-3) + 503/(-56). Let h = 69/8 + b. Calculate the common denominator of h and ((5754/4)/7)/9.
42
Let z(r) = -99*r + 822. What is the least common multiple of 18 and z(8)?
90
Let v = 36537 + -102278/3. Let i = v - 2466. What is the common denominator of i and 28/8*2/4 - -2?
12
Suppose 4 = -6*r + 8*r. Suppose -r*p + 8 = -0*p, 4*j = -4*p - 100. Let v = j - -49. What is the lowest common multiple of v and 18?
180
What is the common denominator of (10/(-4))/((-4125)/132) and 23/50?
50
What is the common denominator of (-4)/30 + (-91)/(-7595) and -11/105?
3255
Let n(g) = -24 + 4*g + 2*g**2 + 4*g**2 - 4*g**2. Let b be (((-143)/22)/(-13))/(2/16). Calculate the smallest common multiple of n(b) and 3.
24
Calculate the common denominator of -3 - ((960/(-84))/8 + 1718/(-630)) and (-316)/(-8)*(-1)/3.
90
What is the common denominator of -5*1442/(-1260) + -13 and 109/1398?
4194
Let d = 4088 + -4084. Calculate the lowest common multiple of d and 20.
20
Let v = 72083 - -54331. Let g = 12135853/96 - v. Find the common denominator of g and 85/108.
864
Calculate the common denominator of (-1)/((-462)/9457)*(-2 - 414/(-210)) and 133/198.
990
Suppose 3*b + f + 52 - 1216 = 0, -8*f - 438 = -b. What is the lowest common multiple of 780 and b?
780
Suppose l + 3 = 2*v, -4*l - 4*v + 35 = -13. Suppose -n + 16*n = 300. What is the common denominator of l and n/(-14)*(27 + -28)?
7
Let z = -5312 + 8802. Let t be ((-1 - -1) + z)/(5 + -3). Let h = 12167/7 - t. Find the common denominator of h and 12/47.
329
Let z be (-48)/56 - (-38193)/44583. Let t = z - -23477/263252. Find the common denominator of 33/8 and t.
248
Let s(r) = -r**2 - 10*r - 11. Let p be s(-10). Let n = p - -7. Calculate the common denominator of -47/6 and -2*(273/n)/(-7).
6
Suppose 16388 + 16742 = 12*a + 4090. Calculate the smallest common multiple of a and 2178.
21780
Calculate the common denominator of -49/2125 and (-6 - 154/1680*-93)/(34/(-8)).
4250
Let m = -333/44 - -155/44. Find the common denominator of -61/236 and m.
2596
Suppose 6*a - 665 + 149 = 0. Let g = a + -81. Let y(s) = s**3 - s**2 - 15*s + 3. Calculate the lowest common multiple of y(g) and 6.
84
Let z = 15 + -8. Let l = -1160 - -1158. Let j = z + l. What is the common denominator of j and -27/8?
8
Suppose -4*o - 4*u = -1028, -3*u - 1293 = -25*o + 20*o. Suppose -x + 5*w - 8 = 0, 0 = x + 4*x + 4*w - 18. What is the lowest common multiple of x and o?
258
What is the common denominator of 77/208 and ((-158)/(-104)*(-3)/12)/((-3)/(-3))?
208
Let q = -78655/8 + 9837. Let n = -7090 - -85187/12. Find the common denominator of q and n.
24
Let j = 396763/32 + -12400. Calculate the common denominator of j and -31/240.
480
Suppose -4*z + 44 = -2*k, -66 = -0*z - 5*z - 3*k. Suppose 10*g - 56 = -4*q + 14*g, q - 12 = 2*g. Calculate the lowest common multiple of q and z.
48
Suppose -192 + 180 = -6*p. What is the smallest common multiple of p and 4?
4
Let z be 6/7 + (-4372)/(-28). What is the common denominator of 3 - 4 - (-2)/48*z and (-1)/1 + (-170)/(-4)?
24
Let j = -116 + 187. What is the common denominator of ((-945)/(-30)*-3)/(-60) and (3 + 0)*j/120?
40
Let q(p) = -4*p**3 - p**2 - p - 12. Let w = -6 - -18. Let i be q(w). Let b = -141667/20 - i. What is the common denominator of b and -79/10?
20
Let n be ((-45)/300)/(0 + 327/(-22)). Let a = n - -42923/13080. What is the common denominator of a and (-2)/3 + 1145/30?
24
Suppose -4*s + 3*w = -382, 9*s + 76 = 10*s - 4*w. Calculate the least common multiple of 800 and s.
800
Let q = 384 + -376. Let g(v) = -v**3 - 1 - 2 + 9*v + 1 + 7*v**2. Calculate the smallest common multiple of g(q) and 38.
114
Let b be (-67864)/12 - (-4)/(-6). Let g = 118738/21 + b. Calculate the common denominator of -1 - 0 - (-1100)/(-528) and g.
84
Let q(m) = m**2 + 3. Let o = -14 + -245. What is the smallest common multiple of 42/4*(7 - o/(-49)) and q(-3)?
36
Let m = 443/6 - 1067/15. Let p(k) = -10*k**3 + k**2 + 5*k - 5. Let y be p(7). Let g = y + 16816/5. Find the common denominator of g and m.
10
Let o be 5*12459/270 - -7. Let a = o + -238. Find the common denominator of 29/54 and a.
54
Let x(c) = 2*c**2 + 13*c - 3. Suppose -99 = -3*f - 120. Let r be x(f). What is the smallest common multiple of 6 and 1/(-2)*4*(-30)/r?
30
Let r = 2120 + -1941. What is the least common multiple of 1074 and r?
1074
Suppose 3*x - 18 = -3*z, z - 3*x - 2 = -z. Let h = -18585 - -18625. What is the smallest common multiple of z and h?
40
Let k = 7149 - 7123. What is the smallest common multiple of 262 and k?
3406
Let d = -5936 + 6240. What is the smallest common multiple of d and 1349?
21584
Let l = 20289 - 2028963/100. What is the common denominator of l and 73/400?
400
Suppose -y + 4 = 2. Let l(d) = -15*d + 86. Calculate the least common multiple of l(4) and y.
26
Calculate the smallest common multiple of 140/10 - (5 - (5 - 4)) and 80/13 + (-20)/130.
30
Suppose 4*r + r + 2*c + 615 = 0, 3*c + 360 = -3*r. Let i = -123 - r. Find the common denominator of (-7 - 208/(-20))/(10/i) and -73/50.
50
Let b = 2585 + -2453. Calculate the least common multiple of 40 and b.
1320
Suppose -85*n + 94*n - 61*n = -25792. Calculate the least common multiple of n and 496.
496
Let d = -6224 - -124461/20. What is the common denominator of -115/906 and d?
9060
Suppose 0 = 4*k - 5*k + 1. Suppose 273 = -2*o + n - 91, 8 = -2*n. Let u = o + 186. Calculate the lowest common multiple of k and u.
2
Suppose -37*k + 17*k + 1072 = 47*k. Calculate the least common multiple of 734 and k.
5872
Suppose 0 = -2*z + 4*d - 2*d + 8, z + d = 2. Let k = 31733/2 - 15831. Find the common denominator of -3 + 230/8 - z and k.
4
Let x = 148 + 52. Suppose x = 7*h + 158. Calculate the least common multiple of (-110)/(-6) + (-2)/6 and h.
18
Let y = -11438 + 2687907/235. What is the common denominator of y and -117/470?
470
Suppose -2 = -4*f - 3*j - 6, -2*j = 8. Suppose v - 7*t + f = -5*t, -4*t + 40 = 4*v. What is the lowest common multiple of v and 6?
6
Let d = -779/7 + 14089/126. What is the common denominator of d and -107/42?
126
Suppose -2*o + 39 = -5*r + 2*o, 3*r + 25 = 2*o. What is the least common multiple of (-2 - r)*2*1 and 24?
72
Let m(l) = -41*l**3 + 2*l**2 + 187*l + 710. Calculate the lowest common multiple of m(-4) and 714.
7854
Calculate the common denominator of 145/36 and -7 + 22/((-41140)/(-12019)).
1980