of h and x.
208
Let p = -37 + 32. Find the common denominator of (249/(-21))/((-6)/(-7)) and (-2)/p + (-76)/16.
60
Suppose -5*i - 814 = 3781. Let g = i + 2734/3. Let p = 105/34 - -883/204. What is the common denominator of p and g?
12
Let v(p) be the third derivative of p**6/120 - 5*p**4/24 - 2*p**3/3 + 8*p**2. Calculate the least common multiple of v(3) and 8.
8
Suppose -5*j + 3 = 4*d, -j + 126*d = 124*d - 9. What is the smallest common multiple of j and 68?
204
Suppose -2*a + 8950 = -0*r + 5*r, -r - 6*a = -1790. What is the least common multiple of 6 and r?
5370
Let w = 121 + -112. Find the common denominator of ((-51)/w)/((-45)/(-10)) and -23/27.
27
What is the least common multiple of (30/25)/(6/1700 + 0) and 272?
1360
Suppose -2*n + 6 = 0, 5*m - 66 = 5*n + 289. Let q be (0/(-6) - m/(-16))/4. Let f = q + 1457/96. What is the common denominator of f and -24/11?
33
Let j = 3006657443/3765 + -798581. Calculate the common denominator of j and -109/18.
22590
Let j = 1498 - 6061/4. Find the common denominator of j and 6/16 + (-258)/(-528).
44
Let r(b) = 56*b - 816. What is the smallest common multiple of r(21) and 90?
360
Let z = 22 + -20. Suppose z*o = -3*o + 70. Let u = -44 + o. What is the common denominator of 16/19 and u?
19
Let f be (6 - (-23041)/4248)/1. Let d = -26/531 + f. Find the common denominator of d and 97/20.
40
Suppose 4 = 2*s - 10. Let y(n) = -n**3 + 7*n**2 + 2*n - 5. Let d be y(s). Let x(p) = p - 7. Calculate the smallest common multiple of x(d) and 18.
18
What is the common denominator of -35/18 and 5 + ((-1577)/(-4980))/((-236)/3755 - 0)?
8496
Suppose 4*c - 39 = c - 5*q, 0 = 5*q - 15. Suppose c = 2*d + 2. Suppose 14 = 2*l - 4*n + 6*n, -4*l - 2*n = -32. What is the least common multiple of l and d?
9
Find the common denominator of 169/126 and ((-81)/1008*-148)/(2 + (-14)/4).
126
Let o = -16047372517706120923136093/8235242820 + 95482461240605146/49. Let v = 2/32679535 - o. Let y = -478/9 - v. What is the common denominator of y and 23/8?
40
Let p = -16575 + 596731/36. Let i(u) = u**2 - 8*u. Let f be i(6). Calculate the common denominator of p and (2/16)/(f/(-808)).
36
Suppose -u + 3*t + 0*t + 53 = 0, 4*u - 3*t - 158 = 0. Calculate the lowest common multiple of u and (-1108)/(-20) - 2/5.
385
Let r(f) = -f**3 + 88*f**2 - 975*f + 72. What is the smallest common multiple of r(75) and 392?
3528
Let w = -157768/45801 - -1/5089. Let d = 44/279 + 1252/3069. What is the common denominator of w and d?
99
What is the common denominator of (141082/(-8855) + 16)*(1 - -1) - 0 and -63/160?
12320
Find the common denominator of -37/536 and ((-1518)/(-117) + -5 + -8)/((-16)/(-498)).
6968
Let u = 45 + -45. Suppose 15*z - 116 - 49 = u. What is the least common multiple of 34 and z?
374
Suppose 4*m - 6*m = -4*d - 756, 4*m + 567 = -3*d. Let k be ((-36)/(-21))/((-6)/d). Calculate the least common multiple of (-10)/45 + 2164*3/k and 14.
840
Suppose -h + 2*d + 83 = -38, 227 = 2*h + d. What is the lowest common multiple of h and 17?
1955
Suppose -c + 1238 = 5*a + 339, -184 = -a + 4*c. Calculate the least common multiple of 12 and a.
180
Let n(w) = -3*w + 82. Let d be n(28). Let i be (d/(-3))/(-1) + 148/6. Suppose 4*t - i + 0 = 0. Calculate the smallest common multiple of t and 33.
66
Find the common denominator of (-1 - 121/129) + 36/(-7 + 25) and -53/387.
387
Let y = 2664 - 2620. Let r = -44 - -75. Let f = r - 15. Calculate the smallest common multiple of f and y.
176
Let o be ((-18)/(-3))/((-5)/(-5)). Suppose 0 = -23*n + 31*n. Suppose o*f + n*f = 60. What is the smallest common multiple of 8 and f?
40
Suppose -14*k = -37*k - 5060. Calculate the smallest common multiple of (-6)/33 - (-4)/(k/(-4795)) and 9.
261
Let o = -609859/97 - -6287. Find the common denominator of (-366 + 365)/((-4)/17) - 1 and o.
388
Let a be (22/4)/11*-4472. Let k = 40145/18 + a. Find the common denominator of k and 15/22.
198
Let h(d) = -25*d + 208. Let c = 35 - 13. Calculate the lowest common multiple of c and h(8).
88
Suppose -2*x = 6, x = 3*p + 31013 + 26884. Let g = 231731/12 + p. Let f = 205375 + -28341875/138. Find the common denominator of g and f.
276
Suppose -10*n + 8835 = 5*b - 7*n, 15 = -3*n. Calculate the smallest common multiple of b and 780.
46020
Let l(h) = h - 3. Let c be l(-6). Let k = c + 7. What is the least common multiple of 14 and 5/k*4/(-1)?
70
Suppose -4*g + 2*x = -x + 181, -10 = 2*x. Let u = g - -93. Calculate the lowest common multiple of u and 6.
132
Let y = -37602/11 - -3416. Let b = 273868 + -3018041/11. Let d = -498 - b. Find the common denominator of y and d.
11
Let u(d) = -d + 8. Suppose 9*i = 2*i + 28. What is the lowest common multiple of (7 - i/1)*3 and u(6)?
18
Let t be ((-315)/140)/(2/170). Let h = -6655/36 - t. Calculate the common denominator of -115/54 and h.
54
Suppose -32 = -5*s - 5*k + 38, 2*s - 56 = 2*k. Calculate the smallest common multiple of 333 and s.
2331
What is the common denominator of 67/20 and (-1099)/52*3/(-7)*11/4257?
33540
Suppose -2*y + 19 = 25. What is the common denominator of -46/7 and 94/y*15/970?
679
What is the lowest common multiple of 5600 and 8/(-28) + (-739140)/(-231) - 1434/(-2629)?
22400
Suppose 5*m + 3*v - 99 = 0, 62*m - 63*m + v = -15. Calculate the smallest common multiple of m and 1094.
9846
Let i = 161 - 244. Let f = -18167/8 - -2268. Find the common denominator of f and i/6*33/(-22).
8
Let y be ((-1)/(28/(-264)))/(4/28). Suppose x = -3*k + 20, 2*k + y = 19*x - 14*x. Calculate the least common multiple of x and 296.
2072
Suppose 4*u + g = 361, u + 3*u = -4*g + 364. What is the lowest common multiple of (-900)/u*16/(-10) and 390?
3120
Let q(k) = k**2 - 7*k - 3. Let n(w) = -4*w + 38. Let p be n(8). Let f be 1/(7/67) + p/14. Calculate the common denominator of -25/4 and q(f).
4
Let x = -17172 - -1081805/63. What is the common denominator of x and 21/50?
3150
Let g = 5116 + -5035. Calculate the least common multiple of 2 - (20/50 + (-352)/5) and g.
648
Let b = 478825/32 - 14962. Let f be -3 + 1 - (-2 - (-1)/1750). Let p = 4562/875 - f. Calculate the common denominator of p and b.
224
Let u = -2892 + 23205/8. Let c = 633 - 350. Let k = c + -1171/4. What is the common denominator of u and k?
8
Suppose -74*x + 2000 = -516. Calculate the least common multiple of x and 58.
986
Let o = -54 + 30. Let f = o + 28. What is the common denominator of (-1969)/1386 - f/18 and -29/20?
140
Find the common denominator of -1/8 and 1/(-3306)*34/((-918)/891).
4408
Let l = -2329451/56 + 41596. Let c = -224/11 + 2331/88. Find the common denominator of c and l.
56
Let q = 271 + -235. What is the common denominator of (-200)/6*(-5)/8 and (-2 - 285/(-130))/((-2)/q)?
78
Suppose -5*h = -3*p - 340, 86*p - 3*h = 85*p - 108. Calculate the common denominator of 20/33 and (-52)/(-117)*((-8001)/p)/7.
330
Let v = -3935 - -5828. Calculate the smallest common multiple of 12 and v.
7572
What is the common denominator of ((-10)/(-4) + (-51089)/20445)*213/(-62) and 79/8?
35960
Let p be (-1)/(-9)*(-2910)/(-10) + 0. Suppose 0 = -5*a + 136 + 29. Let q = a - p. What is the common denominator of 25/6 and q?
6
Calculate the common denominator of -41/57 and (-14)/49 - 114/(-105) - 18056/20520.
513
Let x(a) = 95*a**3 - 94*a**3 + a + 236 - 2*a + a**2 - 243. Suppose -d - d + 13 = 3*i, -3*i - 3*d = -12. Calculate the smallest common multiple of 12 and x(i).
276
Calculate the common denominator of (-1157375)/133200 + 8/(-148) - -9 and 67/2556.
10224
Let d = -326107955/1934721 - 2/214969. Let r = -52771/315 - d. Find the common denominator of -71/120 and r.
840
Let c(p) = 118*p**2 + 45*p + 46. What is the lowest common multiple of c(-1) and 120?
14280
Let r = -25 + 31. Calculate the lowest common multiple of (-81)/(-54)*(-52)/(-3) and r.
78
Calculate the least common multiple of 1232/(-24)*(72/112)/(3/(-4)) and 1532.
16852
Let w = 2131/216 - 7/216. What is the common denominator of w and -145/84?
84
Let m = -1680994/117 - -421410481/31356. Let p = m + 3709/4. Calculate the common denominator of 37/6 and p.
402
Let y = 103 - 91. Suppose -4*r - 2*r + 396 = 0. What is the least common multiple of r and y?
132
Suppose 139*y - 174*y + 78 = -27. What is the smallest common multiple of y and 4177?
12531
Let y = 919431/92 - 9994. What is the common denominator 