k(x) = 3*x**2 + 16*x + 6. Let h be k(-4). Let z = -4354 + 130601/30. Calculate the common denominator of z and 7/((-7)/h)*(-102)/(-264).
330
Suppose -2*b + 2*u = u - 230, 0 = 4*b + 5*u - 474. Suppose 2*r + 38 = -5*s + b, 3*r - 13 = -s. Let k = 9 + -5. What is the smallest common multiple of k and s?
16
Let a(z) = -z**3 - 13*z**2 + 64*z + 104. What is the smallest common multiple of a(-18) and 209?
10868
Let r = -1674 - -1734. Calculate the lowest common multiple of 172 and r.
2580
Calculate the common denominator of 133/30 and 25712/16800 - (-42)/(-49).
150
Let v(n) = n**3 + 5*n**2 + 306*n - 3356. What is the least common multiple of v(12) and 78?
107796
Let t(n) = 100*n**2 - n - 11. Calculate the lowest common multiple of t(1) and (-39)/(-2) - (-2)/4.
440
Calculate the least common multiple of (-17)/34*(-6 - (-4 + 4)) and 648.
648
Let m = -349 + 1834. Calculate the common denominator of 3/(-5) + ((-1446)/m)/(-1) and -56/121.
1089
Let l(p) = -12*p - 57. What is the smallest common multiple of 220 and l(-5)?
660
Let v = -6711943573 - -859137668145/128. Let m = v - 69459. Calculate the common denominator of 17/32 and m.
128
Let f = 118 - 141. Let j = -22 + f. Find the common denominator of (-8)/j*444/(-16) and 8/3.
15
Suppose 0 = -2*q - 242 + 154. Let u = q - -155. Calculate the lowest common multiple of u and 6.
222
Let n(h) = h**2 - 19*h + 30. Let u be (1 - -27)/(-7) + 22 + 0. Let j(i) = i**2 - 5*i + 9. Calculate the lowest common multiple of j(6) and n(u).
60
Suppose 0 = 2*f + 3*c - 65, -2*f + 2*c + c = -71. Calculate the smallest common multiple of f and 306.
306
What is the common denominator of -37/30 and (-833)/120 + (2 - 65)/(-9)?
120
Let h(d) = -43*d + 67. Let l be h(9). What is the common denominator of -47/40 and ((-2)/3)/((1*l)/(-2))?
240
Suppose o = -13*o + 56. Suppose 3*j = b + 42, 2*j + b = o*b + 21. What is the smallest common multiple of 40 and j?
120
What is the common denominator of (1/145)/((-1851)/555 + 3) and -25/248?
7192
Let x = 7081 + -7039. Calculate the smallest common multiple of 252 and x.
252
Calculate the common denominator of 59/86 and 7449/1740 + 160/2320.
860
Let c = -45 - -48. Let x be 79501/60 + c + 18/(-5). Let d = x + -1323. Calculate the common denominator of d and -1/20.
60
Let f(q) = q**2 + 21*q + 94. Let j be f(-15). Suppose -j*s + 300 = 4*z, 10 = 5*s - 3*s. What is the least common multiple of z and 10?
70
Find the common denominator of -13/3 and (-19)/(-114) + 48/(-38).
114
Suppose k + 27 = -26. Let w = k + -30. What is the common denominator of -19 and w/(-9) + -3 + 0?
9
Suppose 69662 - 39900 + 118914 = 682*q. Calculate the least common multiple of 360 and q.
39240
Suppose 8*j + 213 = 5*j - 3*o, -j - 71 = -5*o. Let g be (-75)/(-6)*(-69)/12. Let k = g - j. Calculate the common denominator of -43/14 and k.
56
What is the common denominator of ((-47)/(-16))/(-507 + 607) and (741/6 - -1)/27?
14400
Let t = 10865/2 - 5421. Calculate the common denominator of t and 58/591.
1182
Let q = -3770/3 - -1241. Find the common denominator of -131/1014 and q.
1014
Calculate the common denominator of (26/20)/(53867/(-3894)) and -34/415.
415
Suppose 2*l + 0 = -5*q + 65, -4*q + 49 = l. Let h = -24 + 1. Let a = h - -33. Calculate the smallest common multiple of q and a.
110
Let m(b) = 2*b**2 - 2*b - 105. Let k be m(8). Calculate the least common multiple of (0 - -4)*(1 - 0/k) and 24.
24
Suppose 0 = k - 15*k - 12*k + 26. What is the smallest common multiple of k and 1844?
1844
Suppose 15*z = -8*z + 9*z + 168. Calculate the lowest common multiple of 4608 and z.
4608
Find the common denominator of 415/(-224) + (-628)/(-8792) and (-43)/(-4) - (-2)/6.
96
Let y be (-9546)/1060*((-93)/(-54) + -2). Let n = -22/53 - y. Find the common denominator of n and 4/6 + 34/(-24).
12
Let o(h) = 230*h + 100. What is the lowest common multiple of o(5) and 6?
3750
What is the common denominator of 93/14878 and (16 + -8)*-5 - 2*(-21)/12?
14878
Let t(g) = g**2 + 48*g + 920. What is the smallest common multiple of 621 and t(-23)?
3105
Let j(q) = -q**3 + 4*q**2 + q - 1. Suppose -4*n = s - 0*s - 19, -3*s = -4*n + 7. Calculate the smallest common multiple of j(n) and (275/225 - 14/63) + 0 + 4.
15
Let p(c) = c**3 + 14*c**2 - 22*c - 32. Calculate the least common multiple of p(-8) and 120.
2640
Let u be (0/2)/(-3 + (3 - 2)). Suppose 12 = o - 3*b, u*o + 24 = 4*o - 4*b. Suppose 5*a - 68 = -o. What is the least common multiple of a and 6?
78
Suppose -32*o + 68*o - 30*o - 30 = 0. Calculate the smallest common multiple of o and 1250.
1250
Suppose -5*m + 7*m = 3*m, -2*a = 3*m - 768. Calculate the least common multiple of 6 and a.
384
Let i = 1451/10272 + -14/107. Suppose 6 + 4 = -2*j - 2*b, 4*b = -3*j - 19. Calculate the common denominator of ((-948)/16)/(-6*1/j) and i.
96
Suppose 27703 + 26953 = -8*w. Let a = -46/7 - -23/14. Find the common denominator of a and 6/14 - (-23851)/w.
112
Suppose 5*c + 3*s - 53 = 3*c, 2*c - 4*s - 32 = 0. Find the common denominator of ((-6)/(-8) + 3)/((-9)/c) and (6/4)/((-24)/(-166)).
24
Let u(j) = 3*j - 2. Let x be u(-2). Let y = 299758/63415 + 2/5765. Calculate the common denominator of 92/(-7)*(-4)/x and y.
77
Let z = 561700 - 195471449/348. What is the common denominator of -1/348 and z?
348
Find the common denominator of -16 + 29 + -15 - (-2 + 91/1368) and -39/20.
6840
Let d(n) = n**3 - 2*n**2 + 2*n + 2. Let j be d(2). Suppose -4*w + 6 = -l, -5*l + j*w - 2*w = -18. Calculate the smallest common multiple of 21 and l.
42
What is the least common multiple of 72 and ((-5)/(-10))/(17/(-6 - -38630))?
10224
Let u = -439975/36924 + -3/3077. Find the common denominator of -53/354 and u.
708
Let b = 3060059315/15703 - 194871. Let l = b + 1303319/235545. Find the common denominator of 49/30 and l.
30
Calculate the common denominator of 4/(-2) - (-395)/(-18)*(-33)/(-110) and (-1900)/(-288)*(-9)/(-60).
96
Find the common denominator of 45654/8064 - (2 + 3) and 139/1464.
11712
Suppose -o = -6*o - 75. What is the common denominator of (o/48)/((-3)/20) and ((-2100)/135)/(4 - 2)?
36
Let f = 4812 - 4951552/1029. Let b = 12231/686 - f. Calculate the common denominator of -37/14 and b.
42
Let z be ((-176)/6)/((-2)/6*1). Let d = -91 + z. What is the common denominator of 37/7 and ((1638/(-4))/d)/(-6)?
28
Suppose 36889 = -5*o - 97286. Let w = o + 643925/24. Find the common denominator of (11/12 + -1)*(-2848)/48 and w.
72
Let t = 2/63793 - -2423004/36043045. Let a = -46211/10170 - t. Calculate the common denominator of a and -42/17.
306
Let m(d) = -3*d**3 + 6*d**2 - 11*d + 20. Let q be m(4). Let u = 129 + q. Calculate the least common multiple of u and 3.
9
Let k be 0 + -12*(36/(-16))/1. Find the common denominator of ((-6)/2 - 1) + (-102)/k and -19/20.
180
Let r be (18 - 16)/(1 - 3/6). Suppose 2*k + r*a - 20 = 0, 5*k - 2*a + 0*a = 98. Calculate the least common multiple of 30 and k.
90
Let v = -3373/1457 - 199360333/26226. Let s = -7611 - v. Find the common denominator of 65/14 and s.
126
Let j = 116 - 115. Calculate the smallest common multiple of 90 and j.
90
Suppose 268 - 778 = -2*a. What is the smallest common multiple of (-2*2/(-4))/(17/a) and ((-18)/4)/((-15)/20)?
30
Let s = -825 + 962. What is the smallest common multiple of s and 137?
137
Let g(w) = 40*w - 8. Let b be g(3). Suppose -56 - b = -7*x. What is the common denominator of 1 - (-81)/x - -4 and -39/5?
40
Suppose -2*u - 2*j - 2 = 0, 480*j + 34 = u + 476*j. Let x = 270 + -120. Calculate the smallest common multiple of u and x.
150
Let w be 2/(4/(-4) - -3) + 19. Let j be (10/w)/(1/(-8)). Find the common denominator of 111/22 and (j/(-14))/1 - (-1454)/252.
198
Let t = -53911983/280 - -192543. Calculate the common denominator of t and -47/70.
280
Let l(t) = -25*t - 2. Let c be l(-2). Suppose c = 8*z + 4*z. Find the common denominator of (411/(-18) - -2)*z/(-20) and 6.
6
Let u = 9/1903 - 32423/15224. Find the common denominator of 75/664 and u.
664
Let x(u) = 9*u**3 + 2*u**2 + u. Suppose 18 - 10 = -4*t, 44 = 2*p + 5*t. Suppose -36 = -29*a + p*a. Calculate the lowest common multiple of a and x(2).
738
Suppose 7 + 4 = m - f, -3*f + 9 = 4*m. What is the common denominator of ((-42)/(-29))/(8/m) and 79/16?
464
Let p(w) = -2*w + 10. Let r be p(-6). Let b = -19 + r. Suppose -b*s - 3*s +