and 424.
36040
Let s = 4289076 + -47216379/11. Let f = -3319 - s. Calculate the common denominator of f and 79/39.
429
Let r be 2070/24 + (-2)/8. Let x(t) = t**3 + 8*t**2 + 15*t + 6. Let o be x(-7). Let d = r + o. Calculate the smallest common multiple of d and 18.
36
Let c(l) = -3168*l - 31. Let j be c(-4). Let z = j + -1769721/140. Find the common denominator of 57/20 and z.
140
What is the common denominator of (1 + 427/(-160))*((-85)/(-75) + -1) and 7/800?
800
Suppose 14*s = 18*s - 4*x - 4, s + 3 = -3*x. Let a(n) = 2*n**3 + 2*n**2 + 2*n + 24. What is the lowest common multiple of a(s) and 6?
24
Suppose -12 = -b + 3*b. Let s = b - -31. Suppose -176*k + 384 = -33*k - 903. What is the smallest common multiple of k and s?
225
What is the least common multiple of 6*(105/175)/((-6)/(-5)) and 990?
990
Suppose 5*u = 3 - 38, 0 = l - 4*u - 595. Calculate the smallest common multiple of l and 162.
1134
Let d(c) = -c**3 - 30*c**2 - 84*c + 39. Calculate the least common multiple of 165 and d(-27).
1320
Suppose -i - 2*f - 2891 = 2*i, -i - 969 = 2*f. Let t = 479 + i. Find the common denominator of -109/22 and (-15)/(-12)*(t/(-110) + -1).
22
Suppose -51 = -17*c + 68. What is the common denominator of 133/72 and 2 + 7464/(-736) + c?
1656
Suppose 121*o - 2771 = 24314 + 26397. Calculate the smallest common multiple of o and 442.
442
Let w = 267 + -266. What is the common denominator of -23/30 and -7*w + 571/60?
60
Let o(a) = 64*a - 266. What is the lowest common multiple of o(5) and 126?
378
Suppose 2*f - 39 = -5*m, -f + 43*m + 17 = 45*m. What is the smallest common multiple of f and 933?
6531
Suppose 0 = -92*z + 132*z - 42840. Let i = z - 1049. Let d = -5 + 8. What is the least common multiple of i and d?
66
Let v be (-747)/(-24) + (27/6 - 4). Let y = -23/8 - v. Calculate the common denominator of y and -41/166.
166
Let x(d) = -3 - 2 + d + 2*d**2 + 3*d. Suppose 0 = -4*z - 24, 2*u - z = 780 - 762. What is the lowest common multiple of u and x(-4)?
66
Calculate the common denominator of -38/1389 and (9 - (-850)/(-153))*-1.
4167
Find the common denominator of (-1 - 12) + 41178/(-20304) + 15 and 37/282.
3384
Calculate the common denominator of 26/1111 and -1659 + 1665 + (-1 - ((-106)/(-4) - -1)).
2222
Let b be 51/(-6)*6/(-3). Suppose 4*r - 1 + b = 0. Calculate the smallest common multiple of r/(-22) - 1488/(-44) and 16.
272
Let b = -4374224/111 - -39408. Let f = 1629/148 + b. Let n = -1059131/18 + 58848. What is the common denominator of n and f?
36
Let d be (-2708)/(-105)*(-12)/(-8). Let h = d + -201/5. Find the common denominator of h and 17/25.
175
Let u = 1/3130 + 4061/25040. Calculate the common denominator of u and 73/468.
9360
Let z(c) = 119*c**2 + 5*c + 19. Let v be z(-5). Let u = -1314 - v. Let q = u + 42889/10. Calculate the common denominator of q and -71/9.
90
Let p be 3*-569*(3825/891 + -4). Let o = 500 + p. Let u = -1/729 + -14332/3645. Calculate the common denominator of o and u.
165
Let l = -35/1263 + 42517/60624. Calculate the common denominator of -17/198 and l.
1584
Let p = -346/15 + 553/20. Let z be (-232)/20 + 6/(-15). Calculate the common denominator of p and z/(-128)*302/9.
48
Suppose 0 = -67*b + 70*b - d - 376, 0 = -2*b + d + 251. Calculate the smallest common multiple of b and 27.
3375
Calculate the common denominator of (-21)/(1365/338)*(-4)/42 and 1/285.
1995
Let v be (-1 - 1)*3398/(-12). Let c = v + -573. What is the common denominator of c and (-1 + 4)/(-1) - 14520/(-6600)?
15
Suppose 0 = 5*u + 3*u. Suppose 3*g - 32 - 13 = u. Let w = 769/5 + -153. Calculate the common denominator of g and w.
5
Let y be (-25)/10 + ((-7341)/(-966))/(-1). Let u = 45/23 + y. Calculate the common denominator of u and -39/49.
49
Suppose 3*y - 84 = -3*j, 4*y - 55 = -5*j + 97. Let a(m) = 8*m**2 + 2*m - 1. What is the smallest common multiple of j and a(2)?
280
Suppose -2*i + 990 = u, 0 = -i - 249*u + 246*u + 505. What is the smallest common multiple of 153 and i?
4437
Let p(g) = 2*g**3. Let a be p(-1). Let l = -3189 + 35049/11. Calculate the common denominator of l and (a/6)/(3/153).
11
Let d = -47473/36 + 11968/9. Let u = 664031/152660 + 2/7633. What is the common denominator of d and u?
60
Suppose 3*x + 4664 = 5*q + 1093, -2135 = -3*q - 2*x. What is the lowest common multiple of q and 115?
3565
Let m = 1328 - 1437. Suppose 0 = -4*a + 2*a - 154. Let x = a - m. What is the lowest common multiple of 36 and x?
288
What is the common denominator of (-78)/12 - -7 - (-305)/(-960) and 79/456?
3648
Let o(r) = -43*r + 347. Let w = 6 + -12. Let p = 9 + w. What is the least common multiple of p and o(8)?
3
Find the common denominator of -6 + ((-32)/4 - 67816/(-4865)) and -63/5.
695
Let a = -783/256 + 164923/13568. Let d = a + 3/106. Let h = -4230723/106 + 39913. What is the common denominator of h and d?
424
Let k(u) = 2*u**3 + 47*u**2 - 40*u - 54. What is the lowest common multiple of k(-24) and 180?
1980
Suppose 0 = 3*c + t + 2*t - 9, 0 = -3*c - 4*t + 9. Calculate the smallest common multiple of c and (980/147)/(6/108).
120
Let q be 20*(3 + -4 - 9). Let z = q + 214. Calculate the least common multiple of 10 and z.
70
Let o = 575 - -1615. What is the least common multiple of o and 6?
2190
Suppose -2 + 24 = 2*r. Let w be 6/(-33) + 22050/33. Let a = w + -662. Calculate the smallest common multiple of r and a.
66
Let q be (-3)/(-3706)*1/3. Let v be (-546665)/(-111180) - (-6)/4. Let t = q - v. Calculate the common denominator of -71/6 and t.
12
Let b(d) = -4*d + 20. Let h be b(0). What is the common denominator of 73/9 and (-97)/(-6) + 20/h?
18
Let v(g) be the second derivative of -g**5/20 - 7*g**4/12 - g**3 - 6*g**2 + 10*g. Let t be v(-7). Calculate the common denominator of t/(-4)*20/(-12) and 23/10.
10
Let v = 2/2009 + 1887/122549. Find the common denominator of v and 26/((-1638)/245) - -9.
549
Let n = 22970 + -1286281/56. Calculate the common denominator of -33/623 and n.
4984
Let o(q) = -q + 10. Let l(u) = u**2 + 8*u - 3. Let a be l(-8). Let v(j) = -3*j - 3. Let d be v(a). What is the least common multiple of 9 and o(d)?
36
Calculate the common denominator of (-145)/90 - 20/(-30) and -62/831.
4986
Find the common denominator of ((-94734)/(-157336))/((2 + -4)*-15) and 11/2556.
25560
Let i = 11091/2 + -931717/168. Find the common denominator of i and -63/688.
14448
Let o(h) = -h + 37. Let d be (-8)/(-2)*(-5)/6*-3. Let t(m) = m**3 - 11*m**2 + 10*m + 11. What is the lowest common multiple of o(32) and t(d)?
55
Let f be 11/(44/(-1200))*(-4)/8. Let c = f + -87. What is the lowest common multiple of c and 45?
315
Let m be (220458/605715)/(201/30 - 7). Let f = 4/3671 + m. Find the common denominator of f and -58/45.
495
Let b(s) = -s - 19. Let c(p) = -7*p + 1. Let t = -6 + 5. Calculate the lowest common multiple of c(t) and b(-29).
40
Let f be -2*4/60 - 4/(-30). Suppose -5*u - 343 = -4*l, -u - 249 = -f*l - 3*l. What is the lowest common multiple of 11 and l?
902
Suppose m + 5*l = -20, 5*m + 15 = 4*l - 27. Calculate the lowest common multiple of (8/m)/(14/(-1575)) and 9.
90
Let d = -28851 - -31167. Calculate the lowest common multiple of d and 42.
16212
Let n = -14008/5 - -2812. Let p(c) be the second derivative of c**4/6 - 7*c**3/3 + 23*c**2/2 - 31*c. What is the common denominator of p(8) and n?
5
Let b = -193227/20 + 9656. Suppose 3*z - z + 270 = 2*o, 4*z = -3*o - 547. Calculate the common denominator of b and 2 + 1 - (-428)/z.
340
Let f = -355 + 498. Suppose -5*z + q - 249 = -3*q, 4*q - f = 3*z. Let a = 54 + z. Calculate the lowest common multiple of 3 and a.
3
Let w(g) = 6*g**2 + 9*g - 101. What is the smallest common multiple of w(7) and 224?
1792
Let w(n) = 7*n**2 - 72*n + 48. Calculate the least common multiple of w(-6) and 305.
3660
Suppose 4*y = -4*n + 96, 6*y - 3*n = y + 120. Calculate the least common multiple of 4 and y.
24
Suppose 3*x = -0*x + 5*u + 95, 4*u = 5*x - 180. Suppose 0 = 5*y + 2*v - x, 2*y - 3*v + 7*v = 32. What is the least common multiple of 220 and y?
660
What is the common denominator of -61/285 and (16/15)/(9 + 249*(-7)/140)?
19665
Let x(l) = l**2 - 23 + 3 + 0 - 23*l. Calculate the smallest common multiple of 2 and x(25).
30
Suppose -2*h + 6*o - 10*o = -214, -184 = -2*h + 2*o. Find the common denominator of ((-234)/93912)/((-3)/h) and 1/16