ppose -238*i + 279*i = 533. Let f(w) = -w**2 + 6*w + 3. Let k be f(5). Suppose -i = k*p - 21. Calculate the least common multiple of p and 3.
3
Let o = -30 - -6. Let z = -30409 + 10886411/358. Find the common denominator of o and z.
358
Let y be (56/12)/2 - (-2)/(-6). Let a be (-4)/((y/4)/(10/(-8))). What is the smallest common multiple of 12 and (12/(-15) - -4)*a?
96
Let x(b) = b**3 - 57*b**2 + 372*b - 4. Calculate the lowest common multiple of x(7) and 3630.
18150
Let o = 131597/14 - 9407. Calculate the common denominator of o and -11/112.
112
Suppose 4*d - 14534 = -39*d. What is the lowest common multiple of d and 26?
338
Let f be (1 - 3) + 132/44. Find the common denominator of 109/30 and 32/222 - (f + 6/(-36)).
1110
Let l = 1/19059 - 743369/1296012. Calculate the common denominator of l and 21/32.
544
Suppose -5*f + 95 = 10945. Let t = 17323/8 + f. Calculate the common denominator of (1 - 368/(-12))*24/128 and t.
16
Let g(k) = -k**3 + 8*k**2 - 8*k + 1. Let v be g(7). Let q = 1082/5 + -19631/90. What is the common denominator of 4/v*339/(-24) and q?
36
Let p be -2*15/12*(-84)/(-2). Calculate the common denominator of (-2)/(-14)*(-405)/p and 97/42.
294
Let k = 1070 + -1064. Suppose 0*m - 6 = -m. What is the smallest common multiple of (-18)/(-7)*56/m and k?
24
Let j(c) = 8*c - 145. Let x be j(18). What is the common denominator of -23 and ((-117)/18)/(x/(-7))?
2
Let v(a) = -4*a**3 + 30*a**2 + 400*a + 12. What is the lowest common multiple of v(-10) and 2008?
6024
Let h(r) = r**3 + 33*r**2 + 33*r + 36. What is the least common multiple of (-65)/(3 - (2 + 2)) and h(-32)?
260
Suppose -l = -69*w + 71*w - 277, -2*w = 2*l - 274. Calculate the lowest common multiple of w and 1780.
12460
Calculate the common denominator of 82/45 and (-2)/150*21/(756/(-8010)).
90
What is the common denominator of 73/400 and (-506)/(-800) + 12/(-32)?
400
Let z = 15017201123/7326 + -2049850. Calculate the common denominator of -101/2664 and z.
29304
Let l = -1674641842/1485 - -1127705. What is the common denominator of -2/9 and l?
1485
Let a(t) = -t**3 - 51*t**2 + 212*t - 436. Calculate the least common multiple of 594 and a(-55).
1188
Let v(r) = r**2 - 10*r - 48. Let z be v(-4). Suppose -6*l + z*l - 56 = 0. What is the least common multiple of l and 56?
56
Let r(w) = w**2 - w - 2. Let j be r(-2). Suppose -357 = -4*k - 3*t, j*k + k + t = 460. Find the common denominator of (6/(-9))/(14/k) and 2/9.
63
Let w be (-3289)/(-55) + (-1 - 12/(-10)). What is the lowest common multiple of 3 and (-40)/w + 22/(-12)*-2?
3
Let d(r) = -r**3 - 14*r**2 - 3*r + 20. Let h be d(-14). Let x = h - -205. What is the common denominator of -6/11 and 3 + x/(-78) - 2?
286
Let s = 3/2134 + 89589/27742. Let y be (-1 - -3)/(-2) + 7398/(-36). Let r = y + 4585/22. Find the common denominator of s and r.
143
Suppose 0 = -2*m - 2*m - 3*h - 5, -4*m + 2*h + 10 = 0. Calculate the smallest common multiple of 55 and m.
55
Find the common denominator of -97/30 and (399/76)/(-1 + 6 - (-2110)/4).
2130
Suppose 57*h - 58*h = -64. Let r = -19 + h. What is the smallest common multiple of r and 10?
90
Let r = 87 + -132. What is the common denominator of 6/r - 1573/210*-1 and -39/256?
1792
Let l be (-6602)/3*17/16428. Let m = 2/4107 - l. Let n = 9122 - 109345/12. Calculate the common denominator of n and m.
36
Let n = -2477 + 1673. Let u = 7927/10 + n. What is the common denominator of -69/4 and u?
20
Let m = -2/5563 + -283145/1579892. Find the common denominator of -55/36 and m.
2556
Let s(c) = c**3 - 3*c**2 - 4*c + 4. Let w(o) = -59*o + 1184. What is the least common multiple of w(20) and s(4)?
4
Suppose -68*a + 9961 = -10439. What is the smallest common multiple of a and 40?
600
Let a = -1373 - -142795/104. Let l = -7/123 + 1531/246. Calculate the common denominator of l and a.
312
Let u = 25318435/138 - 183466. Calculate the common denominator of u and 68/105.
4830
Let z = -40773/4 - -10173. What is the common denominator of 101/7500 and z?
7500
Let s = 4227 - 2552. What is the least common multiple of s and 1340?
6700
Let u(l) = 2*l**2 - 26*l + 23. Let x be u(13). Let i = 30 - x. Calculate the smallest common multiple of 2 and i.
14
Let n(p) = -p**3 + 4*p**2 + 6. Let k be n(4). Suppose 188 + 820 = k*v. Find the common denominator of (-484)/v + 10/15 and -97/2.
14
What is the common denominator of 2/(-40) - 16/(-24) and 23/600?
600
Let d = -493 - -1615. Let k = d + -732. Calculate the least common multiple of k and 18.
1170
Calculate the least common multiple of (-152)/(-24) + -9 - 20279/(-21)*1 and 18.
1926
Suppose -7*p = -5*p - 8. Suppose 0 = -2*i + 7 + 3. Let u = i + p. Calculate the least common multiple of u and 22.
198
Let p(k) = -3*k + 4. Let j = -16261 + 16275. Calculate the smallest common multiple of p(-4) and j.
112
Calculate the common denominator of ((-87)/(-638))/(50/(-92)) and 41/22.
550
Let c(n) = -n**2 + 106*n + 13076. Calculate the lowest common multiple of 8022 and c(179).
24066
Let k = -96 + 114. Suppose -2*d + 6 = 0, k = 2*u + u + d. Calculate the smallest common multiple of 83 and u.
415
Suppose 2*a + 5*x = -19, -a + 3*x + 12 = -2*a. Suppose 3*u + 44*w - 7 = 45*w, 4*w = 5*u - 7. What is the least common multiple of u and 11 - (6/a + -2)?
33
Suppose -7*j = -98 - 21. Suppose 12*a - j*a = -225. Calculate the common denominator of -35/32 and (7/6)/((-20)/a).
32
Suppose -4*p = -9*p - 35. Suppose -73 = -4*g - 5*w, 3*w - 4*w = -5*g + 55. Let o = g + p. Calculate the lowest common multiple of 31 and o.
155
Suppose 2*n + 5*n = 5*n. Suppose -5*l + 2*o - 327 - 77164 = n, -2*l - 31003 = -3*o. Let q = 464753/30 + l. Find the common denominator of q and 53/6.
30
Let z(p) = 56*p - 546. Calculate the lowest common multiple of 2500 and z(10).
17500
Let p(m) = -3*m - 8. Let q = 141 - 74. Let d = q + -72. Calculate the lowest common multiple of 13 and p(d).
91
Let l = -219 - -213. What is the common denominator of 57/124 and (-24)/l + (-81)/(-30)?
620
Let z = 80 - 69. Suppose 19 = -z*y + 85. Let w = 18 + -3. What is the smallest common multiple of y and w?
30
Let g = 52 - 47. Suppose -g*p + 395 = 10. Calculate the smallest common multiple of p and 14.
154
Let s = 16117 - 13549. Calculate the lowest common multiple of s and 8.
2568
Suppose j - 98 = -100. Let a(g) = -108*g + 8. What is the least common multiple of 4 and a(j)?
224
Let n = 87 - 65. Suppose 3*f = -17*r + 21*r - 36, -f - n = -3*r. Calculate the lowest common multiple of 4 and r.
12
Let w(r) = -2*r + 12. Let l be w(6). Suppose -3*z + 3*x = -60, l = 2*z - 2*x + 3*x - 31. Let g = z + 15. Calculate the smallest common multiple of g and 14.
224
Let d(r) = -14*r + 16. Let b(z) = -3*z**2 - 25*z + 17. What is the smallest common multiple of b(-8) and d(-1)?
150
Suppose -5 = -w - 2, -13 = -5*n - w. Let f be 4 + (n - 2)/(-5). Calculate the common denominator of (f/((-32)/3))/(21/(-412)) and 53/64.
448
Find the common denominator of 29/76 and 594/(-1648) - 101/(-404).
15656
Let n be 1/1*(-5 + 11 + -7). What is the common denominator of (-45)/550*-5 - (n - 0) and -2*3/48*31?
88
Let x(h) = 70*h - 3472. Calculate the lowest common multiple of 44 and x(50).
308
Let x = -253582 - -101940055/402. What is the common denominator of x and 28/84 + (-203)/6?
402
Suppose 0 = l + 2*l - 720. Find the common denominator of ((-2)/l)/(13/4654) and 137/18.
180
Let y(h) = h**3 - 8*h**2 - 27*h + 45. Let u be y(12). Let r = 313 - u. Find the common denominator of r and -9/5.
5
Let s = 217835/18 - 12094. Suppose 3*i = 2*x + 11455, x + 8*i = 6*i - 5717. Let d = x - -85808/15. Find the common denominator of s and d.
90
Let h(l) = 2*l**2 + 8*l + 198. What is the lowest common multiple of h(-8) and 1441?
2882
Let t = 21/1300 - 28569/18200. What is the common denominator of t and -33/1547?
12376
Suppose 14 - 2 = 2*j. Let x be j/(-15) - 6731/(-840). Let d = x + 43/84. Find the common denominator of d and 55/4.
8
Suppose 24 = 7*u - 3*u. Suppose 27331 - 11131 = 75*g. Calculate the common denominator of u/(-16)*2*(-738)/g and -29/10.
80
Suppose -19 - 16 = -7*b. Suppose 4*x + b + 11 = 0. Calculate the common denominator of -11/8 and ((-5)/450)/(x/470).
72
Let d = -148 + 136. Find the common denominator of 99/230 and (18/(-48))/(2*3/d).
460
Let u = -318 + 238. Let d = u - -203/2. Find 