t is the smallest common multiple of 11/((-22)/(-20)) - 6 and t?
60
Let q = 26104881/3020 - 8644. Calculate the common denominator of q and -119/3020.
3020
Suppose -4*x + 3*q + 23 = 80, -3*x - 5*q = 50. Let f = x - -36. What is the least common multiple of 4 and (32/(-6))/((-7)/f)?
16
Suppose 6*b + 406 = 35*b. What is the smallest common multiple of 96 and (-182)/39*(-18)/b?
96
Let a = 1819 - 637. What is the lowest common multiple of 21 and a?
8274
Let x(a) = 5*a**2 + 9*a + 5. Let k be x(-3). Suppose -6*h - b = -3*h - 22, 4*h - 5*b = k. Calculate the lowest common multiple of h and 2.
14
Let g = -8256 + 9912. Calculate the least common multiple of 64 and g.
13248
Let r = -40 + 54. Let k be (-4)/r - (-24)/(-14). What is the common denominator of 1903/(-110) + k/10 and -28/25?
50
Suppose 0 = 24*g - 22*g - 2*y - 770, 5*y = -25. Let o = 753/2 - g. What is the common denominator of o and 61/38?
38
Let b be ((-2224)/4280)/((-21)/30). Let h = -3/107 + b. What is the common denominator of h and (-2)/(-5) - 154/(-20)?
70
Let n(u) = u**2 - 10*u - 10. Let a be n(10). Let f be (-9)/5 - (8/a - -1). Calculate the least common multiple of (8 + -14)/(4/f) + 19 and 128.
1408
What is the lowest common multiple of 8 and (-16240)/105*(-558)/24?
7192
Let w = 279070939/1080 + -258399. What is the common denominator of w and -101/168?
7560
Suppose -7*t + 54*t - 1034 = 0. Let b(v) = v**2 + 5*v - 5. Let j be b(-6). What is the smallest common multiple of (j/(-2))/(1/(-28)) and t?
154
What is the common denominator of -41/378 and 2273/(-18711) + (-714)/(-7854)?
3402
Let n(a) = -9*a - 150. Suppose -5*m + 2*v = 75, 5*m - 14 = -v - 104. Calculate the least common multiple of 107 and n(m).
321
Suppose -h + 180 = 2*w, -2*h - 3*w + 342 = -8*w. Calculate the least common multiple of h and 12.
528
Let a = 275981179/16 - 17242683. Let j = a - 6145. Calculate the common denominator of j and 23/80.
80
Let c = -226 + 249. Let f(a) be the first derivative of a**4/4 - 22*a**3/3 - 12*a**2 + 30*a + 3. Calculate the smallest common multiple of 18 and f(c).
126
Let t be ((-60)/(-35))/(4/126). Let w = -128/13 + -95/26. Calculate the common denominator of (10/t)/(3/63) and w.
18
Let w be 39 - (5 + 36/(-3)). Let q = -11634 - -174448/15. Calculate the common denominator of q and w/48 - 65/(-52).
120
Let k = 166643/40 + -4166. What is the common denominator of 274/264 + 18/27 and k?
440
Let s = -890 - -898. What is the least common multiple of s and 982?
3928
Let u(p) = 32*p - 4. Let a be u(5). Find the common denominator of (-1220)/a - 4/(-26) and -2/3.
3
Let g = -99162 - -34310101/346. Calculate the common denominator of 29/2 and g.
346
Let v be (-6)/(-33) - 5/(28820/1136). Let f = v - 649/393. Find the common denominator of 59/16 and f.
48
Suppose 11*l - 4155 = -2*a, -2*a = -l - 99 + 468. Calculate the smallest common multiple of l and 3132.
40716
Suppose 0 = 4*b - 3*k + 4, -2*b = b - 2*k + 2. Find the common denominator of 12/16 + 597/(-84) and (b - 270/12)/(2*31).
868
What is the least common multiple of 1980 and (72/(-30))/(111/360 + 132/(-352))?
1980
Let y = -35 + 46. Suppose y*h - 13*h = -72. Let i = -16 + h. Calculate the smallest common multiple of i and 12.
60
Let q = 140935 + -66521371/472. Find the common denominator of q and -21/16.
944
Let i = 81385/2 - 40720. What is the common denominator of 431/270 - 1/(-5) and i?
54
Let l = -43098 + 1292821/30. Find the common denominator of (-3663)/162 - 4/18 and l.
30
Let f = -12/71959 + -690418/174932329. What is the common denominator of 38/1989 and f?
21879
Let x(a) = -1204*a - 2802. What is the least common multiple of x(-4) and 318?
6042
Suppose 4*n = -q + 4 - 29, 4*q - 4*n + 100 = 0. Calculate the common denominator of (-34992)/2880 - 6/10 and 297/(-30) + 5/q.
20
Suppose 0 = -10626*i + 10616*i + 4680. What is the smallest common multiple of 234 and i?
468
Let j = 580/37 - 46681/2664. Let m be ((-1)/(-2))/((-13)/312*1). Find the common denominator of ((-94)/(-24))/((-87)/m - 7) and j.
72
Let k be (-45)/75 + 357/(-5). Find the common denominator of 101/20 and (-4944)/k*1/(-152).
1140
Let y(b) = -4*b**3 - 4*b**2 + 121*b + 387. What is the least common multiple of (-4)/6 + 96/9 and y(-3)?
480
Let n = -89 - -93. Suppose n*z = 5*i - 23, -z + 5*i + 5 = 22. Calculate the common denominator of z/7 - 14269/798 and -27/10.
30
Let c(g) = 98*g + 61. Let a be c(-5). Find the common denominator of 32/3 and 4 - -2 - (-2275)/a.
33
Suppose 4*u - 3*u + 36 = 4*p, -9 = -p + 3*u. Let s = 80 + -39. Calculate the lowest common multiple of s and p.
369
Let p = 576 - 573. Suppose -2*n = f - 200 + 28, -p*f = 12. What is the lowest common multiple of n and 2 + 1 + (-2)/2?
88
Let m = 13 + -1. Let c be ((-29871)/24)/(m/8). Let o = c + 823. Find the common denominator of 12/5 and o.
20
Suppose 6*k + 2*a = 8*k + 38, 4*k - 2*a = -76. What is the least common multiple of (81/(-3))/(k/4 + 4) and 36?
36
Find the common denominator of (-38)/(-4)*(-3)/(-18) and (((-2)/4)/((-81)/2))/(1011/51561).
108
Let f(l) = l**2 - 6*l - 17. Let o be (-6 + 2)/((1 + 4)/(-10)). Let u be f(o). Find the common denominator of -41/2 and (u/16)/(1/6).
8
What is the common denominator of -139/36 and (-3 - 2)*1 + (-1266)/(-108)?
36
Let m = -19056137/2596351476 - 2/1003227. Find the common denominator of m and -65/1294.
2588
Let p = 3/1243 + 72085/3729. Let y be 3 - ((-10)/(-2)*-1)/(-1). Calculate the common denominator of y - -5 - (-279)/27 and p.
3
What is the common denominator of -8/27 and (1/(-63))/(55/(-2915))?
189
Let y(z) = -5*z**2 - 12*z - 5. Let r be y(-2). What is the common denominator of r/(-8)*(-133)/(-21) and (-49)/12 - (-1)/(-4)?
24
Let n = 421/441 - -24/49. Let q = 2/13811 - -206831/2306437. Let i = -13711/1670 - q. Calculate the common denominator of i and n.
90
Let u be (-7)/2*(-8)/7. Suppose -5*p + 5*t = u*t - 150, -4*t = 0. Suppose 9*y + 447 - 690 = 0. What is the least common multiple of p and y?
270
Let u = 1 + 7. Suppose 6*y = 4*y + u. Suppose 37 = m + 4*j + 47, -3*j - 24 = -2*m. What is the least common multiple of m and y?
12
Let m = 57971/4098 - -14/683. What is the common denominator of 103/70 and m?
210
Let u be (147/(-7315))/((-8)/(-6890)). Let o = 12/209 + u. Find the common denominator of (66/28)/(213/355) and o.
28
Let f(q) = -2*q**3 + 6*q**2 + 3*q + 7. Let l be f(-5). Let h = l - 374. What is the smallest common multiple of h and 12?
36
Find the common denominator of ((-12)/192)/((-4)/1984*4) and 15/21844.
21844
Let q be ((-70)/(-6))/(8/(-48)). Let c(a) = 14*a - 61. Let v be c(4). Calculate the common denominator of ((-5)/4)/v + q/8 and 34/3.
6
Let g = 2520/19 - 68534/513. Calculate the common denominator of g and -2 + (-6 - (-5579)/756).
108
Let l = 2587 + -2557. What is the least common multiple of l and 65?
390
Let c be (3/(-36))/(3/(-296787)). Let s = c + -8236. Calculate the common denominator of (0 - 705/(-36))*3/(-30) and s.
24
Let u = -8414 - -8832. Calculate the least common multiple of 722 and u.
7942
Let f(z) = -3*z + 17. Suppose -3*u + 2*s - 8 = -2*s, -4*s + 32 = 3*u. What is the smallest common multiple of 3 and f(u)?
15
Let c = 146 + -103. Let j = 45 - c. Suppose -42 = -3*i - 4*t, 2*i = i - 4*t + 14. Calculate the lowest common multiple of i and j.
14
Suppose -8*d = -11*d - 3. Let t(f) = 184*f**2 - 4*f - 1. Let j be t(d). Find the common denominator of -55/8 and j/126 + 6/(-14).
72
What is the smallest common multiple of ((-50 + 12)/114)/((-1)/72) and 546?
2184
Calculate the lowest common multiple of 450 and 18/((-252)/(-3778)) + 2 + 39/(-21).
1350
Calculate the smallest common multiple of 471 and 14/343 - 68770/(-637).
16956
Let a(b) = b**3 + b**2 - b + 5. Let t be a(0). Suppose -o - f + 0*f = -25, o - 29 = -t*f. What is the smallest common multiple of o and 24?
24
Let k = 86 + -80. Suppose i - 3*u = -u + k, -6 = -i + 4*u. What is the common denominator of (2 - 261/i)*4/8 and -45/8?
8
Let q = -638 - -2919. Calculate the lowest common multiple of 9 and q.
20529
Let m = -22255157/225 - -98912. Find the common denominator of m and 107/270.
1350
Let x(g) = -8*g - 1. Let a(k) = 4*k - 16. Let b be a(5). Suppose 0 = 4*r - 20, b*m - 7*r - 129 = -8*r. What is the lowest common multiple of x(-1) and m?
217
Find the common denominator of ((-30)/4)/((