
48
Let t = 89171219/660 + -135108. What is the common denominator of -119/132 and t?
660
Let k be (-1*-3*4)/(16/576). Find the common denominator of 1130/k - (-2 + -7 - -12) and -19/3.
216
Find the common denominator of (-10 - 583/(-88)) + -1 and ((-1212)/64)/(9/(-6)).
8
Let k(r) = r**3 - 6*r**2 - 6*r - 3. Let n be k(7). Suppose 0 = -5*u - 16 - n. What is the lowest common multiple of 54/u*(-11 - -9) and 12?
108
Let y(v) = -2*v**2 + 298*v + 3886. Suppose 0 = 5*c + 20, -2*c = -u + 6*u - 47. Calculate the lowest common multiple of u and y(161).
22
Let u(k) = -k**2 + 4*k + 5. Suppose 198 = 66*t - 557 + 29. Calculate the lowest common multiple of u(4) and t.
55
Calculate the common denominator of 239/(-171) + (18416/(-288) - -64) and (1 - 0) + (-178)/16.
152
Let r be (27 + 24/(-4))*(-62)/(-6). Let y = -863/4 + r. Calculate the common denominator of y and 55/6.
12
Let m = -202571 - -578542753/2856. What is the common denominator of -37/1428 and m?
2856
Let l(n) = n**2 + 31*n - 386. Calculate the lowest common multiple of 768 and l(-41).
768
What is the common denominator of (75/558)/((-292)/219) and -99/124?
248
Let d(w) = -28*w**2 + 33*w + 191. Let x be d(-6). Let i = -346 - x. What is the least common multiple of i and 4?
2676
Let l be (-2408)/10 - 60/(-10). Let b = 947/4 + l. Find the common denominator of b and 107/1162.
11620
Let z(g) = -g - 4. Let n be z(-8). Suppose u - 5 = -5*i - u, 0 = -n*i + 4*u + 32. Calculate the lowest common multiple of 10 and i/(-2) + (-1485)/(-30).
240
What is the common denominator of 113/450 and (-3906)/(-1008) - 2/(-16) - (-806)/(-225)?
450
Let i(p) = -p**3 + 3*p**2 + 12*p + 18. What is the lowest common multiple of i(-3) and 50/(-30)*(-8)/(-10)*-3?
36
Let x(k) = 66*k + k**2 + 60*k - 154*k + 46. Let b be x(27). Suppose -49 + b = -2*m. Calculate the least common multiple of 9 and m.
45
Let l = -21111855171 - -2533446375817/120. Let a = l - 197962. Find the common denominator of a and (-1016)/(-36)*(-6)/8.
120
Suppose 132 = 2*t - 142. Let c = -81 + t. Suppose -c = -4*a - 4*a. Calculate the smallest common multiple of a and 15.
105
Let a = -10353666671/10486 - -987380. Calculate the common denominator of 99/8 and a.
41944
Let p = -209/8 - -7521/296. What is the common denominator of p and ((-291)/(-6))/((-360)/(-36))?
740
Suppose 0 = 12*o - 682 - 374. Suppose -49*i = -53*i + o. Calculate the lowest common multiple of i and 3.
66
Suppose -29718 = -12*r + 6714. Calculate the lowest common multiple of 8 and r.
6072
Calculate the common denominator of (-13446)/540*(-1)/(-93) and -56/93.
930
Let x = 405 + -383. Suppose 25*z - 18 = x*z. Let o(j) = j**2 - j - 2. Calculate the least common multiple of z and o(4).
30
Let i = 90221/10 + -9012. Let h = 10967/8 - 5521/4. Find the common denominator of i and h.
40
What is the common denominator of (-13)/36*2976/10416 and (79/(-2))/((-1)/1)?
126
Let g(u) = -2*u - 2. Suppose 128 - 920 = -9*i. What is the least common multiple of g(-4) and i?
264
Let p(k) = 3*k**3 - 18*k**2 + 4*k - 20. Let x be p(6). Find the common denominator of (x/30 - (-3415)/825)/(-1) and 2 - (2 + 2/(-6)).
33
What is the common denominator of 7 - 420/50 - 5154/(-4160) and -3/320?
4160
Suppose 7*y - 156 = 3*y + 4*s, 5*y - 177 = -s. Calculate the least common multiple of y and 18.
36
Let r = -13 - -15. What is the common denominator of (55 + -52)*1*(-130)/12 and r/9*(-363)/(-4)?
6
Let n = -8 + 6. Let f be (n/6)/(2/(-108)). Let s = 19 - f. What is the least common multiple of 8 and s?
8
Let q = 197 + -183. Suppose 0 = -8*k + 130 + q. Calculate the least common multiple of 6 and k.
18
Suppose 3588 = 35*w - 48212. Calculate the smallest common multiple of 2590 and w.
10360
Let v = -746 + 748. Let o = 225 + -126. Suppose -2*y + 76 = 4*m, y + 3*m = -2*y + o. Calculate the least common multiple of v and y.
28
Let m be (-2496)/43440*(-5)/(-2). Let p = -20309/14118 - m. Calculate the common denominator of ((-9)/6)/((-18)/2) and p.
78
Let u = 11462 - 11212. What is the lowest common multiple of u and 25?
250
Find the common denominator of 740/(-108) + (-20 - -27) and 4/6 + (-215)/185.
999
Let s(z) = z**3 + 46*z**2 - 6*z - 72. Let l be s(-46). Suppose 211*d - l*d = 462. What is the least common multiple of d and 30?
330
Let f = -23511 + 23973. What is the smallest common multiple of f and 6?
462
Let p(f) be the second derivative of -47*f**3/6 - 17*f**2/2 - 87*f + 2. What is the least common multiple of 44 and p(-2)?
308
Let w be 1/(10/(-12)) + 186880946/8520. Let o = w - 21934. Find the common denominator of o and -49/16.
240
Suppose 5*w - 3*r - 1607 = 462, 4*w - 4*r - 1652 = 0. Calculate the smallest common multiple of w and 166.
830
Suppose 0 = -6*a + 34 - 4. Suppose -5*m = 90 - a. Let b(x) = -x**3 - 18*x**2 - 17*x + 19. What is the common denominator of b(m) and -36/29?
29
Suppose 935 = -5*b - 5*q, 2*q = -9*b + 5*b - 752. What is the common denominator of -101/6 and (-84)/b*(-77)/20?
90
Calculate the common denominator of -89/1666 and 8 - (5/(-15) + (-80307)/(-9828)).
43316
Let p = 4171/3 + -1370. Find the common denominator of 83/966 and p.
966
Let p(a) = 3*a**2 + 33*a + 42. Let k be p(-21). Suppose -k = -20*m - 12. What is the least common multiple of m and 48?
528
What is the common denominator of -125/108 and 15192/3402 + -3 + (1 - 2)*1?
756
Suppose -m = -18 - 37. Let a = 816 + -776. What is the lowest common multiple of m and a?
440
Let l = -754345/102 - -29581/4. What is the common denominator of l and (-17402)/(-3080) - 65/25?
1020
Suppose 0 = 3*t - k - 41, 50*t + 2*k = 49*t + 23. What is the smallest common multiple of t and 519?
2595
Let k = -976946802 - -9610225712035/9837. Let t be (-8)/(-10930)*(-10)/(-12). Let o = t + k. Find the common denominator of -4/23 and o.
207
Let l be 3 - 56/21 - 2/(-3). Let s be (50/40)/(l/(-164)). Calculate the common denominator of -2 - (-1 - -2) - s/120 and -151/30.
120
Let n = 12707 - 1906009/150. Find the common denominator of 15 + (-143)/18 - (-1)/1 and n.
450
Let o be (-14)/(-21)*(2/(-2) - -4). Suppose j - r = -2*r + 65, -136 = -o*j + 4*r. What is the lowest common multiple of j and 30?
330
Let w(o) = -o + 4. Let c be w(5). Calculate the common denominator of (140/24 + -5)*(-151)/5 and c - 73/18 - (-37)/(-111).
18
Let s be 8/(-283584) + (-2 - -2)*-1. Let x = 688285/106344 + s. Let z = 1/36 + x. Calculate the common denominator of 77/16 and z.
16
Let h = 4/1147 - 69979/3441. Calculate the common denominator of -3/292 and h.
876
Suppose -168 + 18 = -3*m. Suppose z = -0*z - 3*t + 28, -t = 4*z - 112. What is the lowest common multiple of z and m/4 + (-4)/8?
84
Let z = 65891945/1048 - 62874. What is the common denominator of -5/2227 and z?
17816
Find the common denominator of (18/180)/(1/((-620)/(-16))*-24) and -25/2816.
8448
Let u = 123 - 80. Let p(d) = -6*d**3 + 156*d**2 - 151*d + 48. Let a be p(25). Let r = u - a. Calculate the least common multiple of r and 18.
180
Let o(f) = -3*f - 5. Let i be o(0). Let q = i - 13. Calculate the smallest common multiple of 4 and -4 - ((-9)/q)/((-2)/584).
284
Suppose o = -3*o + 36. Let r be 113/(-7) + 171/21 + -8. Let f = r - -26. Calculate the smallest common multiple of f and o.
90
Let m be (-26 + 1)*(80949/8995 + -9). Let q = 67645/280644 - m. Find the common denominator of q and 45/22.
1716
Let q(u) = -u**2 + 9*u - 4. What is the lowest common multiple of (11 + 405/(-36))*-24 and q(8)?
12
Suppose 0 = 5*k + g - 3*g - 352, 0 = 5*k - g - 356. Calculate the smallest common multiple of (4/12)/(10*(-3)/(-2430)) and k.
216
Let d = -6521 - -6554. What is the lowest common multiple of d and 1296?
14256
Suppose -126*n + 3*l + 120 = -122*n, -4*l - 8 = n. Calculate the least common multiple of 2313 and n.
18504
Suppose -439*o - 66 = -442*o. Calculate the lowest common multiple of 25*(o/10 + (1 - 2)) and 90.
90
Find the common denominator of 5/(-70)*-32*(-54)/(-828) and 47/23.
161
Let n(h) = h + 16. Let v be n(-15). Let j = v + 17. Let q = -198 - -204. What is the lowest common multiple of j and q?
18
Let l be (-14)/(-4) + 1530/(-20). Let z = l - -79. Calculate the smallest common multiple of z and 264.
264
Let s = -2585 - -2711. Calculate the lowest common multiple of 14 and s.
126
Suppose 2*q + 4 = 4*g, 0 = 7*q - 5*q. Suppose 4*n + 70 = 9*n.