7
Let d = 125271/59465 + 13/1699. Calculate the common denominator of d and 69/56.
280
Suppose 15*x + 1670 - 4775 = 0. What is the smallest common multiple of x and 15?
1035
Calculate the smallest common multiple of ((-63)/5)/(19 + 3474/(-180)) and 126.
126
Let w = 5479/354 - -21/59. Find the common denominator of (-70)/175 + 362/(-20) and w.
6
What is the lowest common multiple of 48 and (10/(-25))/((-1)/150)?
240
Let p be (-4)/18 + 6184/27666. Let o = 130649/3074 - p. Find the common denominator of o and 44/9.
18
Let u = 37 + -31. Suppose 2*k - 6*k + 44 = 0. What is the least common multiple of k and u?
66
Let u = 21 - 254. Let t = 397 + u. Find the common denominator of -43/14 and 11*(t/(-40) + 4).
70
Let g = 314131/8160700 + -2570511849480681/42851835700. Let b = 59986 + g. Let c = 362299/52510 + b. Find the common denominator of c and 55/18.
90
Calculate the common denominator of 9 + (1996/(-180) - -2) and -41/15.
45
Let r(j) = 13*j + 112. What is the lowest common multiple of r(-7) and 57?
399
Let t(b) = 38*b - 117. What is the smallest common multiple of t(4) and 42?
210
Let r = -10616923/54 - -196601. Let b = r - -1/54. Calculate the common denominator of b and 49/11.
33
Calculate the common denominator of 2/(-5)*-4*34/192 and -1/36.
180
Find the common denominator of 2/(-4) - (-9593)/17066 and -8/77.
1771
Let z(h) = -h**3 + 8*h**2 + h - 6. Let x be z(8). Let b(y) = y**3 - y**2 + 2*y - 5. What is the lowest common multiple of 96 and b(x)?
96
Let v = 58997/6 + -9809. Calculate the common denominator of (6/(-4))/(22/(-8)) and v.
66
Suppose -2*w - 40 = -f + 43, -5*w - 10 = 0. Calculate the least common multiple of f and 1.
79
Find the common denominator of (-2 - (-8665)/4560) + 6/18 and 85/342.
2736
Let r = -32575/84 - -2728/7. Find the common denominator of r and -17/195.
780
Calculate the common denominator of 101/70 and (-8)/(-18) - 9192/3024.
210
Suppose 2*o - 4*i = 110, -130 = -13*o + 11*o - i. What is the least common multiple of o and 252?
252
Let j be (3/(-9))/((-4)/204). Let z = 4 + j. Calculate the least common multiple of z and 6.
42
Calculate the smallest common multiple of 6 and (-4)/4*(-15)/1.
30
Let y(o) = -506413*o**2. Let p be y(1). Let b = p - -3053731/6. Let d = 2567 - b. Calculate the common denominator of d and -55/6.
6
What is the least common multiple of 60 and (-240)/16*(-3 + 7/3)?
60
Suppose -18*g - 17 = -125. What is the smallest common multiple of 39 and g?
78
Calculate the common denominator of ((-27)/108)/((-3)/(-105)) and -33/2.
4
Suppose -4*l - 174 = 3*a, -2*l - 50 = a + 2*l. Let g = -111 - a. What is the common denominator of (g + -4)*(-2)/26 and -7/5?
65
Calculate the common denominator of (426/36 - 3)*(-6)/(-16) and -35/122.
976
What is the smallest common multiple of (-69)/(-9) + -9 - (-679)/3 and 55?
2475
Find the common denominator of -53/3 and (30/9)/((-2)/112*-8).
3
Find the common denominator of -36/13 and (-48)/13 + (-7 + 4)*-1.
13
Suppose 0 = 5*j + o + o + 36, -4*j + 3*o - 38 = 0. Let u = j + 15. Let h(m) = -m**2 + 10*m - 5. What is the common denominator of -38/9 and h(u)?
9
Suppose -2*w = 5*g - 16, -g + 3*g - 19 = -5*w. Find the common denominator of w - 5 - 109/(-22) and (-9)/(-6) + (-130)/24.
132
Let x be (-6)/18*24/(-2). Suppose -5*v = x*y - y - 47, 0 = 2*y + 4*v - 32. Calculate the smallest common multiple of 8 and y.
56
Suppose -42*u = -48*u + 2424. What is the least common multiple of u and 10?
2020
Suppose -3*g = -4*o + 4 + 2, 0 = -4*g + 3*o - 1. Suppose -g = h - 10. Let r = -11 + 15. Calculate the smallest common multiple of r and h.
8
Suppose 65 + 43 = 2*i. What is the lowest common multiple of 20 and (-80)/(-6) - i/(-81)?
140
Let m = -389/22 - -93160/5269. Let j = 6715/8622 + m. What is the common denominator of 71/3 and j?
9
Suppose -2*z = z + 249. Let h = -58 - z. Let g = -23 + h. Calculate the smallest common multiple of 4 and g.
4
Let g(a) = -4*a**3 - 24*a**2 - 3*a - 15. What is the lowest common multiple of 54 and g(-6)?
54
Calculate the common denominator of 836/24 - (-8)/12 and 48/23.
46
Let z be 2/4 + 21/(-6). Let d be 3/2*(-244)/z. Calculate the common denominator of 2/(28/d) + -2 and 5/4.
28
What is the common denominator of -59/14 and ((-10675)/476)/(-5) - 3?
476
Suppose 10 = 4*z + 2. Let f = -6393/10 + 640. Find the common denominator of 297/60 - (z - 1) and f.
20
Calculate the lowest common multiple of (6 + -10)/(2/(-10)) and 244.
1220
Let k = -51131/24 - -2143. Let x = 243/8 - k. Find the common denominator of x and 65/4.
12
Let b be 36/(-45) - 9601/(-20). Let c = 473 - b. Calculate the common denominator of c and 16/21.
84
Let t = 489 - 10657/22. What is the common denominator of (-48)/(-80) + (-806)/160 and t?
176
Let w be (-3)/(-8) + 1734/(-16). What is the common denominator of 21/4*(-78)/w and 91/18?
72
Suppose 9 = 3*n - 9. Suppose -3*b = -n*x + 2*x - 8, 2*b - 36 = -5*x. Suppose a - b = 8. Calculate the smallest common multiple of 14 and a.
112
Find the common denominator of 24426/(-24840) - (-1 + 2/4) and 97/24.
120
Let w be (-38)/((0 + -6)/3). Let s = w + -14. What is the least common multiple of 7 and s?
35
Let q = 875 - 699. Calculate the lowest common multiple of q and 80.
880
Suppose 50*q = 45*q + 40. Calculate the lowest common multiple of q and 42.
168
Let d be 2 - (-2 + 121285 + -1). Let g = -725539/6 - d. Let u = 353 - g. Find the common denominator of 53/14 and u.
42
Let t be 1/(-2)*(-28)/(-171703). Let k = -138471992384254697/196232 - -705654492550. Let y = t - k. What is the common denominator of -28/5 and y?
40
What is the common denominator of 181/120 and (-10 - (-8469)/756)/(3 - 2)?
840
Let q(z) = -2*z - 2. Let a be q(2). Let k be (-1)/(-3) - (-8)/a. Calculate the least common multiple of -6 + 20 - (k - -1) and 8.
56
Let l be ((-15)/(-210))/(26550/(-13276) - -2). Let c = l + -476. Calculate the common denominator of (-4)/5*(-21)/(-8) and c.
70
Let b be 100/(-8)*2/(-5). Suppose -3*x + 2*x + 15 = 3*h, x + b*h - 21 = 0. What is the lowest common multiple of x and 30?
30
Suppose -2*l + 2174 = -1630. Suppose -5*r - 1188 = l. Calculate the common denominator of 17/18 and (-1)/6*r/22.
198
Let u be (4/(-10))/((-9)/(-216765)). Let p be -4 + 540116/56 + 1. Let z = u + p. Find the common denominator of 1/4 and z.
28
Let x(k) = 3*k**2 + 20*k + 61. Calculate the least common multiple of 132 and x(-5).
396
Let p be 1388/32*-2*-4. Suppose 2275 - p = -4*q. Calculate the common denominator of q/21 - (-10)/35 and 64/9.
9
Suppose -32*k + 1236 = -76. Find the common denominator of 1/854 and k.
854
Let w = 2005/6 + -80153/240. Find the common denominator of w and 13/60.
240
Let c = 1289/720 - 44/45. Suppose s + 5*i = -29, -4*i + 9*i = -5*s - 45. Find the common denominator of (s/(-80)*292)/((-32)/(-10)) and c.
16
Suppose 0 = 6*t - 78 - 54. Let q = -6 + 34. What is the smallest common multiple of t and q?
308
Suppose 5*a + 7*i - 750 = 2*i, 2*a + 3*i = 300. Calculate the lowest common multiple of a and 2.
150
Let q(f) = -12*f**2 + 0*f**2 - 13 + 8*f**2 - f**3 - 9*f**2 + 12*f - 3. Let h be (1/(-2))/((-1)/(-28)). What is the lowest common multiple of 6 and q(h)?
12
Let d be (-12)/(-16)*16/(-1). Let o be (d/(-10))/(3/20). Suppose -o = y - 3*a, 3*y - 4*a - 1 = -10. Calculate the lowest common multiple of y and 9.
9
Let m(b) = 4*b + 128. Calculate the smallest common multiple of m(-25) and 64.
448
Let h = 187351/12 + -15602. Let c = 12205875729287353/76650 - 159241692495. Let b = c + -2/5475. What is the common denominator of h and b?
84
Let f = -6101/1416 + 60/59. Let u be 12/(-32) + (-21)/8. What is the common denominator of f and ((-6)/(-4))/((-130)/(-377)) + u?
120
Let g(s) = -3803*s + 5. Let h be g(-1). Let v = 38047/10 - h. Calculate the common denominator of -101/16 and v.
80
Find the common denominator of 5/18 and ((-166)/(-19173))/(4/87).
1386
Calculate the common denominator of 26/6 + -1 + 1 and (267/(-9))/(9/(63/28)).
12
Let m = 2/124255 - -10064567/5467220. Calculate the common denominator of m and 73/44.
44
Let j = 62 + -55. Suppose -5*g - 52 = -j*t + 3*t, 0 = 3*t + 4*g - 8. What is the least common multiple of t and 11?
88
Suppose y - 18862 = -y. Let l = 301835/32 - y. Find the common denominator of -37/16 and l.
32
Suppose -4*t + 3 = 19, 20 = 4*q - 3*t. Let n(