 Suppose 5*b - w = 9*b. Let i = b - -129. Calculate the lowest common multiple of i and 9.
27
Suppose 5*b - 1056 = -2*n + 204, 4*b - 1008 = -5*n. Suppose 5*i - 2*j + b = 7*i, 378 = 3*i + 2*j. Calculate the lowest common multiple of 54 and i.
378
Suppose t - n - 19 = 0, -6*n = -t - n + 19. Let a(v) = v**3 + 2*v**2 + 12*v - 17. Calculate the least common multiple of t and a(2).
437
Let c = -40713/9500 + 333/76. Find the common denominator of (-79)/(-56) + (-2)/7 and c.
1000
Suppose -4*b - t = -5*b + 15, 2*t = -5*b + 54. What is the least common multiple of 216 and b?
216
Suppose 16*h = 25178 - 7034. Find the common denominator of (9/(h/(-372)))/8 and -55/12.
84
Let i = 5662 + -56619/10. Calculate the common denominator of 36/1015 and i.
2030
Let o = -6 + 15. Let k = -72271 - -72554. Calculate the least common multiple of k and o.
2547
Let z(j) = 17*j - 24. Suppose 0 = -r + 5*o + 16 + 17, -4*r + 22 = 2*o. What is the smallest common multiple of z(r) and 176?
1232
Calculate the common denominator of 21556/(-31416) + 3/7 and -41/10.
330
Let x be (-16 + 0)/(-2) + 7. Calculate the lowest common multiple of 1704/x + 2/5 - 1 and 11.
1243
Calculate the common denominator of 10*955/(-1888) - 65/(9 + -22) and 6/413.
6608
Suppose 164*a - 18427 + 13025 = 40354. Calculate the lowest common multiple of a and 78.
7254
Let j be 3*1 + -50*(-4)/(-8). Let b be j/(-16) + 6/(-16). What is the lowest common multiple of (-8)/(-6)*6/4 - b and 25?
25
Let r be 0 - (13866/(-1728) + 8). Let l = -1753/18720 - r. Find the common denominator of l and 85/21.
1365
Let i be 5 - ((-242495)/(-21210) - 2/(-3)). Let v = 75/101 + i. Find the common denominator of -33/70 and v.
70
Suppose -c = -2*c, c - 102 = -s. Suppose 74*i - 77*i + s = 0. Suppose 8*l = 5*l + 48. Calculate the lowest common multiple of i and l.
272
Let l(a) = 28*a**3 + 6*a**2 - 26*a + 24. Calculate the least common multiple of 1878 and l(1).
30048
Let s = 17217351/130 - 132442. What is the common denominator of (-519)/90 - 1*(-2)/(-5) and s?
390
Let v = 40 + -38. Suppose h - 4*h - 3 = -3*l, 0 = 4*h - v*l + 14. Calculate the least common multiple of (-3)/h - 5/(-2) and 6.
6
Let r(u) = 29889*u + 209499. Calculate the least common multiple of 2/(4/54) + 0 and r(-7).
2484
Suppose 2*r - 5*j - 2 = 0, 0 = -12*r + 7*r + 3*j + 24. What is the common denominator of r + (550/(-36) - -2) and -1 + (-4)/(80/93)?
180
Let h = 69193/22660 - 4/1133. Let k = -3473 - -86777/25. What is the common denominator of h and k?
100
Let o(p) = -p**3 + 10*p**2 + 121*p + 71. Calculate the smallest common multiple of (-1 - -2) + (-29)/(-1) and o(17).
210
Let s = 89785047489/2864 - 31349531. Let i = 12/179 - s. Let h = 5573431/120 + -46444. Find the common denominator of i and h.
240
Let y(x) = -x - 105. Let a be y(-29). Let g = a + 78. Let j(f) = f**2 + f - 4. Calculate the least common multiple of j(-4) and g.
8
Suppose 0 = 4*t - p - 22 - 25, -3*t + 71 = 2*p. What is the smallest common multiple of t and (-21 - 0)/(0 + -1)?
105
Calculate the common denominator of 37/2172 and 912/(-12)*(254/(-48) - -5).
2172
Suppose -4 = 2*i - 4*i. Let p(u) = 2 + 2 - 4*u + 19*u + u**3 + 16*u**2 + 3. What is the least common multiple of p(-15) and i?
14
Let t(n) = -8*n**2 + 12*n + 26. Let p(w) = -15*w**2 + 25*w + 53. Let q(f) = 2*p(f) - 5*t(f). Calculate the least common multiple of 10 and q(-4).
880
Let b(k) = 187*k - 931. What is the lowest common multiple of 1 and b(5)?
4
What is the least common multiple of 7 and ((4 - 3)*-1)/((-34)/510)?
105
Let o(y) = -14*y - 264. Let p be o(-19). Let i(q) = 3*q**3 - 2*q**2 - 3*q + 1. Calculate the lowest common multiple of 39 and i(p).
429
Let g(t) = 3*t - 8. Let s(y) = -y + 1. Suppose 2 = 3*k - 2*k - 3*b, -3*k + 6 = -b. Let a(q) = k*s(q) + g(q). What is the least common multiple of 57 and a(7)?
57
Suppose -p - 149 = -153. Suppose -4*s + 3*w + 10 + 47 = 0, 59 = 3*s + w. What is the least common multiple of 3 - (90/p)/(6/(-8)) and s?
198
What is the common denominator of (966/(-207))/((-512)/18) and -47/336?
2688
Suppose -14*k + 10*k + 1792 = 4*c, 5*c = 2*k - 910. Calculate the lowest common multiple of k and 20.
900
Let n be (4 + 44/(-12))/((-4)/(-72)). Suppose -3*a - 317 = -2*k, 0*a - n = 2*a. Calculate the least common multiple of k and 12.
924
Let f(n) = 44*n + 1176. What is the lowest common multiple of 84 and f(-21)?
252
Suppose -3*o + 377 = -h - 8*o, 5*o = 5*h + 1915. Let l = h - -388. Calculate the smallest common multiple of l and 30.
30
Suppose 5*s = 0, -5*l = -7*l - 2*s + 252. Calculate the smallest common multiple of l and 369.
5166
Let l = -9905/18 + 4726/9. Suppose 9*a - 10 = 4*a. What is the common denominator of l and (39 - -12)*a/12?
6
Let r(i) = -2*i**3 + 29*i**2 - 40*i + 368. Calculate the lowest common multiple of 608 and r(12).
608
Suppose -u - 54 = -3*t - 4*u, 0 = -5*t + 3*u + 90. Suppose -4*p + 9 = g - 3*p, 0 = 2*g - 5*p + 3. Calculate the smallest common multiple of t and g.
18
Let l(v) = -111*v + 4117. Calculate the lowest common multiple of 203 and l(35).
1624
Calculate the common denominator of ((2924/(-1608))/17)/(3/(-6)) and -33/670.
2010
Let p = 3084 - 2644. Calculate the least common multiple of p and 88.
440
Let m(q) = q**2 + 4*q - 7. Let z be ((-7)/(-21))/((-2)/42). Let o be m(z). Find the common denominator of -53/7 and 17/o*(8 + -10).
7
Find the common denominator of -59/112 and (((-3384)/5355)/4)/((-8)/10).
1904
Let x = -11169/8 - -2111203/1512. Find the common denominator of 71/252 and x.
756
Let n = 259442/9 - 60968579/2115. Calculate the common denominator of n and 58/35.
4935
Let v be -5 - ((3 - 2 - 1926) + 0). Let o = 76863/40 - v. What is the common denominator of -7/55 and o?
440
Suppose 13*i - 9*i + 96 = 0. Let c be i/(-84) + 131/7. Suppose c*g = 16*g + 33. What is the lowest common multiple of g and 7?
77
Suppose -196*k - 6 = -199*k, -3*j + 5*k + 5 = 0. Calculate the least common multiple of 71 and j.
355
Calculate the common denominator of (-9 + 5 - -6)*((-950)/1680 - 0) and (-129)/126 - -1 - 3.
84
What is the common denominator of 3 - (-2 - 117/6) and (-271)/2439 - (46/(-15) + 1)?
90
Let a(c) = -23*c - 7. Let x be a(-1). Find the common denominator of 16/33 and (6/(-63))/(x/(-404)).
462
Calculate the smallest common multiple of -6*13/(-65) - 1788/(-10) and 80.
720
Let m = -3247/3 + 32797/30. What is the common denominator of -4/9 and m?
90
Find the common denominator of ((-1494)/192)/(6/(-8)) and -18/20777.
166216
Let v(h) = -390*h**2 - 8*h + 8. Let t be v(1). Calculate the lowest common multiple of 14 and ((-4)/(-10))/((-26)/t).
42
Suppose 10*i = 20*i. What is the common denominator of (i - (-711)/(-96))*28/42 and 21/326?
2608
Let t = -13781 - -124042/9. Calculate the common denominator of t and 74/5919.
17757
Let a be (-1)/5 + (-366130)/(-25) + -7. Let d = 585557/40 - a. Find the common denominator of 67/80 and d.
80
Let k = -87927/10 - -19255829/2190. Calculate the common denominator of 139/90 and k.
6570
Let s = 135422 - 129598870/957. Find the common denominator of -49/1914 and s.
1914
Let b(r) = -5*r + 26. Let j be b(5). Let v(o) = 35*o + 61. What is the smallest common multiple of 40 and v(j)?
480
Let g(b) = -5*b**2 - 50*b - 10. Let x be g(7). Let m = x + 609. What is the smallest common multiple of m and 100?
100
Suppose -4*w + k + k = -14, -2*w + 2*k + 10 = 0. Let c(h) = h**2 + 8*h - 13. What is the lowest common multiple of c(w) and 12?
84
Let g = 426 - 337. Find the common denominator of g*(-5)/(-50)*1 and -151/558.
2790
Let h = -69925085/957 - -73067. Calculate the common denominator of 47/231 and h.
6699
Let p = 5493 + -21919/4. Find the common denominator of 17/132 and p.
132
Let r = -35972 - -1007099/28. Let h be 3670/12*6/120. Let f = -40/3 + h. What is the common denominator of f and r?
168
Let l = 5132 - 107690/21. Find the common denominator of l and -13/21.
21
Let a(n) be the first derivative of -8*n**2 - 16*n + 2. Let w be a(5). What is the common denominator of ((-269)/w - 2) + (-2)/12 and -5/8?
96
Let n be -1 + (47 - -1 - -3). Let z(j) = 4*j - 19 - n + 23. Calculate the lowest common multiple of z(15) and 22.
154
Suppose 2*p - 18 - 4 = 0. Suppose 7*l + 48 = p*l. Suppose -17*a + 500 = 7*a - 292. What is the lowest common multiple of l and a?
132
Let t =