t = 47363/16 + -2955. Calculate the common denominator of t and 32/(-1280)*19/(-3).
240
Let i = 394223/198780 + 2/16565. Calculate the common denominator of ((-2)/(-22))/((-90)/(-3597)) and i.
60
Let s = 142285/3 + -2369377/48. Suppose 0 = 2*y + 2*b - 3854, 0 = 9*b - 8*b + 3. Let r = y + s. Find the common denominator of 103/18 and r.
144
Let d be (-1 - (-37)/(-4))/(49/(-56)). Let i = d - 815/63. Let g(v) = v**2 - 5*v - 1. What is the common denominator of g(7) and i?
9
Let s(k) = 4*k**2 + 3*k + 9. Suppose -2*n - 66 = 5*q, 4*q = 2*n + 110 - 8. Let h = n - -49. What is the lowest common multiple of s(-5) and h?
282
Let m be (67 + -61)*(-1)/384471. Let v = 3716267/18326451 - m. What is the common denominator of v and 35/52?
572
Let z be 2/8 - (-15)/4. Suppose -17 = -z*n - 5*t, n + 4*t + 2 = 3*n. Suppose 13*f - 28 + 2 = 0. What is the least common multiple of n and f?
6
Find the common denominator of ((-96)/(-800))/((-6)/(-8) - 6/56) and -169/120.
600
Suppose 0 = 552*k - 549*k + 2*g - 16515, 5497 = k + 2*g. Calculate the smallest common multiple of 28 and k.
22036
Suppose 2*w - 5 = 4*c - w, 0 = -w + 3. Let s(r) = 9*r**3 + 3*r**2 - 2*r. Suppose 0 = -4*o - 0*o + 24. Calculate the smallest common multiple of s(c) and o.
30
Let l = -48443/10 - -4839. Calculate the common denominator of -91/230 and l.
230
Let f = 713/24 - 209/8. Let t = 24 - 18. Find the common denominator of f and 1/t + 1095/(-135).
36
Let y = 5824 - 34945/6. Calculate the common denominator of -85/5706 and y.
5706
Suppose -3*s - 1404 = -x, 128*x + 1410 = 129*x + 3*s. What is the smallest common multiple of 9 and x?
4221
Let c = 6145 + -6053. Calculate the lowest common multiple of 138 and c.
276
Let h be (-15)/20 + 33/(-4). Suppose 116 = -9*z - 46. Let d = h - z. What is the lowest common multiple of d and 3?
9
Suppose 33*h = 60 + 39. Let g be (-9)/(-1*2/(-10)). What is the common denominator of -145/12 and (h/g)/(12104/(-3020) + 4)?
36
Find the common denominator of (2/995)/(1404/2700) and 69/8.
20696
Let v(a) = -8*a - 3. Let h be v(-1). Suppose 4*r = 4*t - 36, -5*t + 36 = h*r - 29. Let z(m) = -m. Calculate the least common multiple of z(-2) and t.
22
Let j = -168866457452/106395 + 65074818/41. Let a = 2/2595 + j. Find the common denominator of a and -83/4.
12
Suppose -30 = 5*t + 4*o, 0*t = 3*t + o + 18. Calculate the lowest common multiple of 6 - (-2)/(t/(-15)) and 3.
33
Let w be (-3)/(-5) + (-171)/(-15). Suppose w*m = 3*m + 72. Suppose -12*b = -m*b - 32. Calculate the least common multiple of b and 6.
24
Let u be ((-739)/56)/((-14)/5124). Let s = -37353/7 + u. Let f = s - -487. What is the common denominator of -31/18 and f?
36
What is the common denominator of (-1 + -15 - ((-4615)/142 + 15)) + 13/5 and ((-1)/10)/(52/410)?
260
Let d(u) = u**2 + 5*u + 58. Let z be d(-4). Let w(p) = -2*p - 6. Calculate the lowest common multiple of (-99)/(z/(-6)) + 2/(-2) and w(-6).
30
Let b = -9137/2148 + 2/537. Let j be (-1)/(-2)*-1*6. Calculate the common denominator of (-4)/40*69 + j and b.
20
Let z(g) = -173*g + 124. Let s(w) = 52*w - 42. Let k(v) = -10*s(v) - 3*z(v). Let h = -1 + 1. Calculate the smallest common multiple of k(h) and 20.
240
Let x be ((-63207)/9090)/((-114)/(-9)). Let n = -2/1919 + x. Calculate the common denominator of n and 77/32.
160
Let u = -131 - -225. Let j = -85 + u. What is the common denominator of 430/5*2/(-28) and j?
7
Let g(x) = -16*x + 1287. What is the least common multiple of g(68) and (-50)/(-15)*(1 - -2)?
1990
Let f = -89/169045 - -4913361433/1690450. Let s = -2906 + f. Find the common denominator of -38/85 and s.
850
Suppose 2*l - 3 - 7 = 0. Suppose -l*q + 444 + 66 = 0. Calculate the smallest common multiple of q and 10/(-1) - 936/(-39).
714
Let j = 1789731/66056 + -7126/359. Let u = 1/184 + j. Let n = -23467/2013 + -6/671. Calculate the common denominator of n and u.
12
Find the common denominator of 83/1164 and (-1)/(-48*(-5)/825).
4656
Let s(w) = w - 7. Let u be s(10). Let a be 1*(-3 - (-6 + u)). Find the common denominator of 2 + a/2 + (-5)/(-11) and -11/2.
22
Suppose -34 = -4*x - 2*g, 3*x + 16*g - 25 = 14*g. Calculate the smallest common multiple of (-1)/(2 + -3) - (-95 + 6) and x.
90
Let i be (-4 - -7) + (6*3)/(-2). Find the common denominator of ((-402)/(i + 0))/(-102) and 113/20.
1020
Let o(t) = 34*t - 8. Let a be o(2). Suppose 7*x - a = 6*x. Calculate the smallest common multiple of 1 and x.
60
Let l be -4 + (-8)/(-1) + 1. Suppose l*t + u - 25 = 32, -3*u + 6 = 0. Calculate the common denominator of 55/18 and 24080/2112 - (-1 - (-9)/t).
36
Let y be ((-34)/85)/((-127)/25). Let d = y + -8295/508. What is the common denominator of ((366/20)/3)/2 and d?
20
Suppose 2*o = -2*h + 20, 112*h - 6 = o + 109*h. What is the smallest common multiple of o and 828?
828
Let v(x) = x**3 - 33*x**2 + 61*x + 47. Calculate the smallest common multiple of 28 and v(31).
112
Let u(t) = 1356*t - 280. Calculate the lowest common multiple of 10 and u(3).
18940
What is the lowest common multiple of 28 and (5 + -143)/(45/(-30))?
644
Let w be -159 + -3 + (-1 - 1). Let t = -156 - w. Calculate the least common multiple of 30 and t.
120
Suppose 9*a - 365 - 939 + 827 = 0. What is the least common multiple of 82 and a?
4346
Let t(d) = 22*d + 564. Calculate the least common multiple of 7/((-63)/(-52)) + (-6)/(-27) and t(-25).
42
Let i = 1930 - 1908. Suppose 28 = 4*w + n - 27, -n + 69 = 5*w. Calculate the smallest common multiple of i and w.
154
Suppose 0 = -169*c + 161*c + 23568. Calculate the lowest common multiple of 18 and c.
8838
Let l = -60740/9 - -6755. Find the common denominator of l and 101/480.
1440
Let z(t) = -2*t**3 - 162*t**2 - 161*t - 55. Calculate the least common multiple of 14 and z(-80).
350
What is the common denominator of -10/3 and -3*74*(-9)/354618?
6567
Let s(g) = -g**3 - 8*g**2 - 4*g - 11. Let b be s(-9). Suppose i = 3*i - b. Suppose i = 8*y - 11. What is the lowest common multiple of y and 3?
24
Suppose -1040401 = -136*w - 638112 + 1005991. Calculate the least common multiple of 7 and w.
72485
Suppose 411 = 6*i + 33. What is the lowest common multiple of i and 18?
126
Let o(g) = g**2 + 12*g + 26. Let q be o(-12). Suppose -33*w = -q*w - 21. What is the least common multiple of 8 and (7/21)/(w/9)?
8
Let p be (-5 - -1) + (-2 - 1)/3. Calculate the smallest common multiple of 24 and 1 + 3111/18 - p/30.
696
Let m = -5579 - -8499. What is the lowest common multiple of m and 292?
2920
Let v = -142 - -68. Let a = v - 31. Calculate the common denominator of 61/9 and (-4)/(72/(-105))*119/a.
18
Let p = -57 + 423. Suppose 6*v = p - 306. Calculate the smallest common multiple of v and 12.
60
Let k(p) = 3246*p**2 - 82*p - 78. What is the least common multiple of 2250 and k(-1)?
29250
Let y = 258088/5 - 142464181/2760. Calculate the common denominator of y and 65/552.
552
Let m = -3 + 11. Let o(r) = -2*r + 17. Let y be o(m). Calculate the common denominator of 121/20 and 26/(-30) - y/(-6).
20
Let u be 58/174 + 1321/(-3) + -1. Suppose 0 = -4*m - 5*l + 111, 5*l = m + m - 33. What is the smallest common multiple of ((-1890)/u)/(3/28) and m?
120
Let v = 605/19 + -9179/228. Find the common denominator of 24/156 - (6 - (-7426)/(-1248)) and v.
48
Let n(k) = k**3 - 21*k**2 - 23*k + 40. Let a(z) = 3 - 6*z**2 + 3*z + 0 + 3*z**2 + z**3. What is the least common multiple of n(22) and a(3)?
36
Suppose -2*y = -z + 33, 4*y - 1153 = -2*z - 1087. Suppose -2*u - 2*p = -140, -2*p - 53 - 167 = -3*u. What is the smallest common multiple of u and z?
792
Suppose p - 5*r + 20 = -4*r, 2*r + 4 = 0. What is the common denominator of -97/6 and (2/((-100)/(-62)))/(p/(-55))?
30
Let i be ((-3)/2 - -4)*(-4)/111245. Let d = i - 3226009/1067952. Calculate the common denominator of d and 131/36.
144
Let p = -2086 + 2100. Suppose -r = 2, -p*j = -10*j + 4*r - 80. Suppose 6 + 6 = s. Calculate the lowest common multiple of j and s.
132
Let m = 6072 - 5022. What is the least common multiple of 126 and m?
3150
Let c = 7551 + -75463/10. What is the common denominator of c and -103/116?
580
Suppose -16 = 18*q - 10*q. Calculate the common denominator of 5/6 and -82*4/(-112)*q.
42
Let m = -18/275 - 40867/1650. Let w = 1634506713/170783096 - 6/928169. Let t = 62/23 - w. What is the common denominator of m and t?
24
Let