 the common denominator of 37/36 and 81/32*(10 + -6 + g).
144
Let b(r) = 7*r**3 - 14*r**2 + 7*r - 15. Let a be b(4). Suppose -573 = -30*w + a. What is the least common multiple of w and 33?
297
Let d = -9684 - -10748. What is the lowest common multiple of d and 1330?
5320
What is the common denominator of (-122)/(-16)*6/15 and (50 - 150/3) + 1 + (-224)/110?
220
Let r = -3469487/1110 - -9377/3. Calculate the common denominator of -39/407 and r.
4070
Let z(l) = 3*l - 25. Let r be z(9). Let a = 5 + r. What is the lowest common multiple of 2 and a?
14
Suppose 5*y - 39 = -2*z + 2*y, 0 = -z + 5*y + 39. Calculate the common denominator of ((-596)/(-90))/((-32)/z) and -3*-19*3/(-42).
210
Let v = 2291/343049 + 69765698326/4459637. Let g = v + -15644. Calculate the common denominator of g and 5/28.
364
Suppose -22 + 6 = 4*b, -y - 26 = 5*b. What is the smallest common multiple of 4 and 40/(-60) + (-94)/y?
60
Let b(c) = -3*c**2 + 32*c + 15. Let j be b(-15). Calculate the common denominator of 156/33 + -3 - 3/9 and (1/(-108))/((-8)/j).
792
Let m be (0 + 1)/(1/3). Suppose k + 2 = m*k. Suppose -127*d - 44 = -131*d. Calculate the lowest common multiple of k and d.
11
Let w = -16 + 24. Suppose w*x - 30 = 3*x. Let r(a) = -11*a - 181. What is the least common multiple of r(-17) and x?
6
Let q(r) = 257*r - 4727. Calculate the lowest common multiple of q(19) and 819.
3276
Let y be (-36)/6 + 12 - -30. Let g = 83 - y. Find the common denominator of g and -3/4.
4
Suppose -6*f = 2041 - 33175. Let g = -51787/10 + f. What is the common denominator of g and -107/38?
190
Suppose 10 = 4*x - 2*x. Calculate the least common multiple of (598/39 - 12)/(1/15) and x.
50
Let p = 90 + -40. What is the smallest common multiple of p and (-76)/114*18/(-4)?
150
Let r(h) = -h**3 + 14*h**2 - 5*h - 8. Let g be r(-7). Suppose -381 = 25*l - g. What is the least common multiple of l and 39?
351
Suppose -6*g = 413 - 419. Calculate the common denominator of 71/40 and -3 + (-1 - (247/(-40) + g)).
40
Suppose -4*p + 36 = -2*p + a, 3*p - 32 = 4*a. Suppose -z - 2*u = -p, 4*z - 58 + 14 = -3*u. Let x = -2 - -3. Calculate the smallest common multiple of z and x.
8
Suppose -7*o + 10*o = -531. What is the common denominator of o/(-396) + 1/4 and 23/30?
330
Calculate the common denominator of -31*((-495)/(-121) - 4) and 1/(-1) + 97/115.
1265
Let t = -123 - -125. What is the common denominator of 77/117 and 1380/(-2925)*(-5)/t?
117
Let u(c) be the third derivative of -c**6/60 + c**5/10 + c**4/12 - 2*c**3/3 + 21*c**2. Let s be u(3). What is the lowest common multiple of 11 and 5/(-30)*-3*s?
11
Let d = -57109012559/7812 + 51172918/7. Let q = d - -56/279. Calculate the common denominator of q and -43/24.
24
Let r(g) = g**3 + 4*g**2 - 15*g - 4. Suppose -82 = -2*w + 2*v + 102, -w - 4*v = -72. Let o = w + -72. Calculate the lowest common multiple of r(-6) and o.
112
Let z = 2823867347/1794 + -1574062. Find the common denominator of z and 23/78.
1794
Suppose 13*a - 4604 - 804 = 0. Calculate the common denominator of -71/24 and (-2230)/a - (-5)/(-65).
48
Let f(u) = u**3 + 4*u**2 - 6*u - 3. Suppose 2*a - 6 = 0, -a - 187 = 1448*j - 1453*j. What is the smallest common multiple of j and f(-5)?
38
Let w(y) be the third derivative of 0*y + 0 + 8/3*y**3 - 1/24*y**4 + 18*y**2. What is the least common multiple of w(0) and 6?
48
Suppose 2*h = -3*t + 10, -3*h - 3 - 8 = -2*t. Let k be ((-4)/h)/(-8)*16. Let w(g) = g**3 + 11*g**2 + 20*g + 6. What is the least common multiple of w(k) and 20?
380
Calculate the lowest common multiple of (((-54)/(-5))/9)/(2/20) and ((-530)/(-40))/(4/(-24))*-2.
636
Suppose -3*n = -n - 8. Let a(t) = t**2 - 2*t - 2. Let u(f) = -f**2 - 27*f + 1. What is the least common multiple of u(0) and a(n)?
6
Let t = 122 - 113. Suppose 28 = -t*y + 10*y. What is the smallest common multiple of 112 and y?
112
Calculate the least common multiple of ((-16)/(-6))/(32/1968) and 6.
492
Suppose -4*r + 3*f = -197, -5*r + 0*f + 247 = -4*f. Suppose -2*y + 2*o = -4, -3*y = -4*y + 2*o + 3. Calculate the lowest common multiple of y and r.
47
Let p = 249 + -249. Suppose -5*o - 25 = 0, -4*g + 5*g - o - 35 = p. What is the least common multiple of 12 and g?
60
Suppose 52 = 2*z + 4*r, -15*r = -4*z - 12*r + 60. Suppose -75*n + z*n + 912 = 0. What is the least common multiple of 12 and n?
48
Let r = -215270/9 + 48866152/2043. Find the common denominator of -9/1816 and r.
5448
What is the common denominator of 145/18 and 4315/1350 - (-5 - -12 - 4)?
270
Let j = 153697/25 + -6146. Let l = -6351/8 - -6313/8. Find the common denominator of j and l.
100
Let s = -145140111 + 6967104653/48. Let d = s + -7900. Find the common denominator of d and 9/44.
528
What is the common denominator of -149/240 and (-51)/105*(-770)/(-1200)?
1200
Let n(j) = 4*j + 87. Let q be n(0). Let x = -76 + q. Calculate the least common multiple of x and 271.
2981
Suppose 2*q + 5*g = 45, 3*q + 5*g = -17 + 82. What is the least common multiple of 50 + -1 - (-2 + 1) and q?
100
Let k(u) = u**3 + 6*u**2 + 5*u - 2. What is the smallest common multiple of 1/(104/5226) + (-3)/12 and k(-4)?
50
Suppose 5*z - 176 = -3*p, -80 = 4*z - 7*z - 5*p. What is the smallest common multiple of 80 and z?
80
Let n = -4909/1066 + 188/39. What is the common denominator of -143/24 and n?
984
Suppose -1220*q + 84 = -1199*q. Calculate the smallest common multiple of 660 and q.
660
Suppose -2*s = 2*p - 2, 1 = -11*s + 14*s + p. Calculate the common denominator of (51/(-136))/((-15)/6 - s) and ((-3)/(-24))/(6/88).
60
Let p = 3934281/488 + -8062. What is the common denominator of p and -145/72?
4392
Let h = 23512 + -23194. Calculate the lowest common multiple of 318 and h.
318
Let y = 6286 + -4836. What is the least common multiple of y and 18?
13050
Let p = -7766 + 279697/36. What is the common denominator of p and -12*(-36804)/40320 + -11?
2520
Suppose -9*n = -4152 + 1326. Suppose 17*z - n = -59. Calculate the lowest common multiple of 33 and z.
165
Let h(l) = -l**2 - 33*l + 82. What is the smallest common multiple of 2 and h(-25)?
282
Let y be (14/35)/(2/180)*-1. What is the common denominator of 0/1 + (-2 - (-202)/y) and 47/6?
18
Let l = 60 - 10. Suppose 6 = 2*p, 2*a - 2*p + 61 = 7*a. What is the smallest common multiple of a and l?
550
Suppose 34*i - 104 = 30*i. Let q be -2*i*1479/638. Let c = q - -121. Find the common denominator of c and 17/3.
33
Calculate the common denominator of -83/288 and (456/21 - 22) + 74/336.
2016
Suppose 10129 - 2869 = 12*b. Suppose 0 = 40*t - 45*t + b. Calculate the least common multiple of 121 and t.
121
Let h(s) = -s**3 + 13*s**2 - 11*s. Let b be h(12). What is the common denominator of (-218)/3815 + (-2014)/280 and 51/b*(-3)/4?
16
Let r = 118459/98442 + 2/5469. Let i = 4916 - 78711/16. What is the common denominator of i and r?
432
Let r = 11907 + -2178961/183. Calculate the common denominator of r and 61/45.
2745
Let s(m) = 41*m**3 - m. Let j be s(-1). Let b be (582/(-4))/(j/1336). Let t = b + -4855. Calculate the common denominator of t and 83/16.
80
Let p(v) = -v**3 + 2*v**2 - 2*v - 1. Let i be p(5). Let q = 251867/20 + -12592. Find the common denominator of q and i/(-12) + 1 - -2.
60
Let q = 2 + 1. Suppose 3*u + 1364 + 706 = -t, -3*u = -q*t + 2058. Let c = u + 2743/4. Calculate the common denominator of c and 23/20.
20
Let s(k) = -19*k**3 - 2*k**2 + 1. Suppose -8*q + 3404 = 17*q + 49*q. Calculate the lowest common multiple of s(-1) and q.
414
Let b = 863/8976 - -1/8976. What is the common denominator of (2 - -4 - 32)/(204/(-2)) and b?
561
Let t = 955 + -531. What is the common denominator of 55/122 and -4 - 9/64*t/(-6)?
976
Let t be (-6)/(-14) - (-8142)/(-257040). Let h = -11/153 + t. Calculate the common denominator of h and 103/56.
280
Let x(t) = -t**2 + 9*t - 4. Let h be x(8). Suppose 3*b = h*p - 11, 3*b - 5 = -4*p - 0*p. What is the least common multiple of b/((-249)/(-84) + -3) and 2?
28
Let x be ((-80)/6)/((-1)/(-18)). Suppose -391 = 34*g + 23 - 6. What is the smallest common multiple of 8 and ((-3)/(-5))/(g/x)?
24
Let t(s) = 4*s**3 + 34*s**2 - 70*s - 640. What is the least common multiple of t(-8) and 2?
48
Let t = -185401 + 111240667/600. What is the common denominator of t and 121/180?
1800
Suppose 2*h - 812 = 4*v + 1118, 4*h = -4*v + 3884. 