t is the common denominator of (-180)/151200*((-3532)/(-136) + -2) and 37/132?
62832
Let d = -391566 + 1283944984/3279. What is the common denominator of d and 11/7?
22953
Let g(l) = -6*l + 11*l**2 - l**3 - 2*l + 4 + 0*l**3. Let q(w) = -w**2 - 139*w - 264. Let r be q(-137). What is the lowest common multiple of 28 and g(r)?
168
Suppose -2774 = -22*q + 21690. Calculate the smallest common multiple of 18 and q.
10008
Let d = 27374 + -656831/24. Let b = 362483/24 - 15107. Calculate the common denominator of d and b.
24
Let p be ((-8684807)/(-408))/(20/6). Let t = 6386 - p. Calculate the common denominator of t and -107/20.
80
Suppose 14508 = -2594*p + 1301*p + 1306*p. What is the least common multiple of 44 and p?
12276
Let d = 235801/112 + -2105. What is the common denominator of d and -4 + -5 + (-198)/(-24)?
112
Calculate the common denominator of 5/(-4)*-1 - 366/244 and 5/(-15) + 1076/(-48) + 0.
4
Let n be (420/80)/(6/16). Let u = 4 + n. Calculate the least common multiple of u and 27.
54
Calculate the smallest common multiple of 8 and 1267 + -21 + (-6)/(-3).
1248
Let j = -664/13 - -2255660/44161. Let i = j - 105467/135880. What is the common denominator of -59/10 and i?
40
Suppose 2*x = 5*x - 12. Let k(i) = i**3 + 10*i**2 + 21*i + 2. Let s be k(-7). Calculate the smallest common multiple of x and -24*(0 + (-9)/s - -4).
12
Suppose 0 = -3*n - 2*p + 480, 4*n + 5*p - 632 = p. Calculate the lowest common multiple of 246 and n.
492
Suppose 0 = -4*m - 8, -4*m = -2*g - 6*m - 1006. Let f = g + 838. Calculate the lowest common multiple of 7 and f.
2359
Let g(i) be the third derivative of i**5/60 + 7*i**4/24 - 3*i**3 - 6*i**2. Let t = -11 - -21. Calculate the smallest common multiple of g(-10) and t.
60
Suppose 396 = 156*l - 134*l. Let m(y) = 6*y**2 + 3*y + 3. Let a be m(3). Calculate the smallest common multiple of l and ((-44)/(-3))/(44/a).
198
Let x = 5031821 + -50277203/10. Suppose u + 2*w + 4109 = 0, 2*u - w + 293 + 7925 = 0. Let n = u + x. Calculate the common denominator of n and -121/10.
10
What is the common denominator of -31/18 and 4/7 - (-4770)/(-12243) - (-923)/(-11550)?
3150
Let z(d) = -d**2 + 57*d + 604. Calculate the least common multiple of z(53) and 6.
816
Let p = 65 + -62. Let r(g) = g**p - 17*g**2 + 16 - 456*g - 2*g**3 + 474*g. What is the lowest common multiple of r(-18) and 12?
48
Let n(w) = w + 12. What is the smallest common multiple of (-7650)/(-170)*(-2)/(-10) and n(0)?
36
Let w = -13223153/1043 - -12678. Let t = -63626/3129 + w. Find the common denominator of (-8)/105*(1 - 9/(-1)) and t.
21
Suppose 4*i + 245 = 4*t + 173, 0 = 4*i + 8. Suppose j + 2 = -j, 3*h - 437 = 5*j. What is the lowest common multiple of h and t?
144
Let d = 131544 - 73664671/560. Calculate the common denominator of d and -14/3.
1680
Suppose -2405 + 2717 = 52*a. Let h be 594/(-10) + (-2)/(-5). Let n = 95 + h. What is the smallest common multiple of a and n?
36
Let p = -118349/20 + 5919. Find the common denominator of -11/5538 and p.
55380
Let l = 5 + -3. Let i = -52005/8 - -6505. Calculate the common denominator of 3/(-18)*(l + -46) and i.
24
Suppose 2*t - 301 + 181 = 0. Calculate the smallest common multiple of t and 22.
660
Let y be ((-24)/108)/(60/(-27) - -2). Find the common denominator of (-10 - (-2988)/300)/(y/(-47)) and 57/35.
175
Find the common denominator of 1 + 44/88 + ((-23898)/(-2200))/(-7) and -49/440.
2200
Let l = 200898 - 999468/5. Let a = l - 999. Calculate the common denominator of a and 47/20.
20
Let a = 33 - 33. Suppose 0 = 2*x - a*x + 312. What is the common denominator of (-6)/2 + x/(-99) and -56/27?
297
Suppose -18 = -5*u + a + 165, -2*u + 69 = a. Let m(z) = z**3 + 0*z**3 + 39*z - u*z. Calculate the lowest common multiple of m(3) and 18.
36
Let t = -3 - 4. Let q = -3 - t. Calculate the least common multiple of q and (1/33*(-177 - -165))/(2/(-22)).
4
Let u(p) = p**2 - 26*p - 225. Calculate the least common multiple of 290 and u(-9).
2610
Suppose 81*x - 606 - 690 = 0. What is the lowest common multiple of 76 and x?
304
Let t = -118547/4782 - 103/2391. Find the common denominator of t and 332/126 - 4/(-18).
42
Let i = 2010861/430 + -23386/5. Let d = 879 + -4337/5. What is the common denominator of d and i?
430
Let s = -149/3 + 1288/27. Suppose 3*j + 2 = 5. Find the common denominator of 2/(-8) - j/(28/(-23)) and s.
189
Let x(n) = -3*n - 16. Let q be x(-5). What is the least common multiple of q + 1/(5/240) and 10?
470
Let i(s) = -8*s**3 + 8*s**2 + 11*s + 48. Calculate the least common multiple of 2 and i(-5).
2386
Let w = 13 - 7. Calculate the common denominator of -2 - 146*w/24 and 32/5.
10
Let a = 21366 - 21116. What is the lowest common multiple of a and 1600?
8000
Let t be (-7)/14 + 20/(-8). What is the smallest common multiple of ((-24)/24)/(t/33) and 230?
2530
Suppose 1285626 = 5*u - 117789. Let g = -39575203/141 + u. Let y = g - -3/94. Calculate the common denominator of 45/4 and y.
12
Let j(r) = r**3 - 3*r**2 - 6*r - 5. Let p = -9 + 14. Let u be j(p). What is the common denominator of 10/u + (-970)/816 and 107/20?
680
Let b be (21/(-18) - -1)/(10/(-45584055)). Let f = b - 26970527/36. Let a = -10558 + f. What is the common denominator of 125/12 and a?
36
Let k(d) = d**3 - 20*d**2 + 3*d + 253. Let i be k(19). Find the common denominator of 53/42 and (i/(-68))/((-63)/58).
42
What is the common denominator of -34/325 and 927/618*(2 + -1*206/36)?
3900
Let j = 9742/705 + 7/470. Let h(m) = -2*m - 8. Let a be h(-2). Calculate the common denominator of j and (a/8)/1 + (-79)/8.
24
Let b = -1139 + 1154. What is the least common multiple of 162 and b?
810
Let n be 743650/(-275) + (-4)/(-22). Let o = -81019/30 - n. Find the common denominator of 121/54 and o.
270
Let f(k) = 4*k**3 + 16*k**2 - k - 1. Let y be f(-4). Let h = 28 + -58. What is the common denominator of ((-6)/16)/(y*6/h) and -21/118?
472
Let s = 2047/156 - 242/39. Let z = -34220/9 + 3809. Calculate the common denominator of s and z.
36
Let f be -3 - (-62)/12 - 5/30. Let j be (f - 1)*(-7)/(-3)*-9. What is the common denominator of -41/4 and (-20)/j*(-1 + 102/48)?
28
Let b(p) = p**2 + 28*p - 18. Let q be b(-29). Let k be 4/14 - (-24)/14. What is the common denominator of (-2)/(q - (3 - k)) and -59/9?
45
Suppose -5*x + 77089 = -6606. Let r = x + -301193/18. Let u = 66663 - 2799905/42. Find the common denominator of r and u.
126
Calculate the common denominator of (-4725)/(-3905) - 96/3408 and 41/8759.
96349
Let o = -11395339/162 + 70342. Calculate the common denominator of o and 8/81.
162
Let q = -68623/120 - -5659/10. Let k = 78520 + -1413457/18. Find the common denominator of k and q.
72
Suppose 2*n = 4*t + 18, -4*n + 0*t - 14 = 2*t. What is the smallest common multiple of 7 and (-9)/18 - (-15)/(-2)*n?
7
Suppose -11*x = -6 - 335. Suppose 0 = -2*y + 121 - x. Calculate the least common multiple of y and 15.
45
Let l(n) = n**3 - 2*n**2 + 12*n - 43. Let b be l(3). Calculate the least common multiple of 382/b - 35/((-7)/(-1)) and 18.
558
Suppose -4*z + 103 = 63. Calculate the smallest common multiple of 1 and z.
10
Suppose -56*l = -5*q - 54*l + 12273, 0 = -q + 2*l + 2461. Calculate the least common multiple of 892 and q.
9812
Let v = 1922/105 - 87469/4760. What is the common denominator of v and -31/240?
4080
Let y(m) = -m + 45. Let i(c) = c**2 + c - 88. Let o be i(11). Let z(g) = -3*g - 3. Calculate the smallest common multiple of z(-4) and y(o).
9
Calculate the lowest common multiple of 3 and (10/24)/5 + -12429*(-5895)/4860.
45228
Suppose -4*y + 88 + 104 = 0. Let g(d) = -14*d**2 - 14*d + 100. Let j be g(5). Let a = j + 330. What is the lowest common multiple of y and a?
240
Let t(m) = 17 - 33 - 134 + 5242*m - 5207*m + m**2. Let f = -16 + 26. What is the smallest common multiple of t(-39) and f?
30
Calculate the common denominator of 61/159 and (3 - 4) + (-35)/(-20)*642/210.
3180
Let s = 84856397/736 + -115294. What is the common denominator of 83/176 and s?
8096
Find the common denominator of 4/22 + 40937/1474*(-1)/62 and -49/720.
22320
Let v(s) = 9*s**2 - 2. Let q be v(-4). What is the common denominator of (-57696)/9792 + 2/34 and (-2 - (q - -1))/(-6)?
6
Let u be (-1)/5*-11 + 8/(-40). Let f be 6 + -4 + (u - 218643/54661). Let w = -5630059/1311864 - f. Find the common denomina