Find the common denominator of 59/388 and o.
12028
Let k = 33 - -27. Let w be 9 - (-7 + (-10 - -1581)). Let o = 1571 + w. Calculate the smallest common multiple of o and k.
240
Let i = 430757/792947 - 429/739. What is the common denominator of i and -54/145?
5365
Calculate the common denominator of ((-192)/1728)/((-2)/(-6)) + 382/300 and -42/2165.
21650
What is the common denominator of (4560/234 + -4 - 10)/268 and 73/27?
47034
Let y(h) = -5*h**3 - 22*h**2 - 21*h - 70. Calculate the least common multiple of 360 and y(-5).
3960
Let r = 2923 - 84735/29. Let p = 1537880400/13 - 4456776538873/37674. Let o = p + -4/1449. Calculate the common denominator of r and o.
174
Let y = 12768 - 6410. Let h = y - 127127/20. What is the common denominator of ((-2)/(-72) - 0)*-35 and h?
180
Let l = -21 - -12. Let q = 141973/16456 + -5/2057. What is the common denominator of q and 6/l*(-238)/8?
24
Let k(d) = 540*d + 6590. What is the least common multiple of 1 and k(0)?
6590
Suppose -5*q = 0, -3*m + 4*q = -0*q - 7722. What is the least common multiple of (-1)/(3/(-3*1)) and (-5)/(-1)*m/165?
78
Suppose -5*u = -5*f - 525, 429 = 4*f - 8*f + u. Let d = 178 + 80. Find the common denominator of ((-8)/f)/(4/d) and 57/10.
90
Suppose s = 3*h - 86, 966 = -3*h + 3*s + 1044. Calculate the smallest common multiple of 6/12*28*5 and h.
210
Let i be 51962234/(-3706) + -3 + 0. Let v = i - -14024. Find the common denominator of v and -3/2.
218
Let d(o) = 126*o**2 + 124*o**2 + 26 + 71 + 22*o - 249*o**2. Let h = 15 + 6. What is the smallest common multiple of h and d(-17)?
84
What is the least common multiple of 164 and 3482 + (9/135 - 132/(-45))?
13940
Let d(p) = -p**3 - 22*p**2 + 45. Let n = 1109 - 1010. Calculate the least common multiple of n and d(-22).
495
Suppose -400 = -3*z + 5*d, -557 = -5*z + 5*d + 83. Calculate the least common multiple of 1524 and z.
15240
Suppose -1 = -z - 3, -2*i - 5*z + 70 = 0. Let s be (-4 + -30)*(-5 + 6). Let c = i + s. What is the lowest common multiple of c and 4?
12
Suppose 0 = -4*f - u + 2*u - 350, 0 = 5*f - 4*u + 432. Let l = -88 - f. What is the common denominator of 65/12 and -177*(-3)/36 + l?
12
Let i = 89 + 14. Let o = i - 100. Suppose 169 = -0*k + 4*k - o*h, 2*k - 77 = -h. What is the lowest common multiple of k and 16?
80
Let q be (2 + -3832)*(-7)/35. What is the common denominator of 0 + q/(-96) + 8 and -17/4?
48
Let p = 12266 + -12249. What is the lowest common multiple of p and 28?
476
Calculate the common denominator of 61/296 and 199/(-597) + 1/((-1110)/(-5113)) + -4.
1480
Suppose -9*w = -4*w - 340. Suppose -3*a - 11*p + 86 = -9*p, 3*a + 5*p = 71. Calculate the smallest common multiple of a and w.
544
Let j(k) = -k - 2. Let f be j(4). Let g(q) = q**3 + 7*q**2 + 8*q + 8. Let z be g(f). Calculate the common denominator of 37/18 and 4 - (-2)/(-6)*(-195)/z.
36
Suppose 96*m - 97*m - 80 = 0. Let c be 266/57*m/(-26). Let k = -5617/546 + c. Find the common denominator of k and 53/22.
154
Let s = -12 + 15. Suppose -4*h + s*r = 2*r + 5, -20 = -4*r. Calculate the least common multiple of 4 + (14 - (0 + h)) and 14.
126
Let t = 487653 + -143370149/294. What is the common denominator of -35/27 and t?
2646
Calculate the smallest common multiple of 804 and (8/(-96)*-8)/(1/((-1809)/(-6))).
804
Calculate the lowest common multiple of 6/(-24) + 663/12 and (135/18 - 8)/((-5)/450).
495
Let h = -269/11 - -1607/99. Let m = 243847/18 + -13554. Calculate the common denominator of h and m.
18
Find the common denominator of 15 - (21488/(-72))/(-17) and 740/(-273) - 1*(-3)/1.
819
Suppose 21*u - 624 = 27*u. Suppose -4*n + 157 = -z, 3*z - 11 + 2 = 0. Calculate the least common multiple of n and (-88)/u + (-20)/(-130).
40
Let v(i) = i**3 - 24*i**2 - 23*i + 364. What is the smallest common multiple of 368 and v(25)?
3312
Let v be (-2)/12*(-10154 + 0). Let l = 30419/18 - v. Let f = 713/994 + 86/71. What is the common denominator of f and l?
126
Let l = -4 - -4. Suppose -5*k + l = -25. What is the least common multiple of k and (-8)/(-6) - 0 - ((-286)/33)/(-26)?
5
Let y be (-336)/(-18) + (-42)/9 + 3. Calculate the least common multiple of y/(17/3)*(-5)/(-3) and 86.
430
Let t = 423 + -421. Suppose -3*r + 269 = -l, 58 = t*r + 2*l - 124. What is the least common multiple of 2 and r?
90
Let u(j) = 57*j + 563. What is the smallest common multiple of 110 and u(-9)?
550
Let g be 90/(-18)*4/(-5). Suppose 0 = -3*n - g*u + 92, 4*u = 5*n + 3*u - 138. What is the smallest common multiple of n and 44?
308
Let z(n) = -n**2 - 16*n - 59. Let h be z(-7). Suppose -d + 74 = 3*m, -8*m + 2*d = -h*m - 102. Calculate the lowest common multiple of 5 and m.
25
Let q(s) be the first derivative of s**4/4 + s**2/2 + 33*s - 5. Calculate the least common multiple of (-218)/(-14) - (3120/(-182))/(-30) and q(0).
165
Let c(s) be the first derivative of 3*s**2 + 8*s - 14. What is the least common multiple of 10 and c(0)?
40
What is the lowest common multiple of 616 and (4 - -7) + -2 + 13?
616
Suppose 2*w + 5 = -3. Calculate the smallest common multiple of ((-112)/70)/(w/50) and 75/(-45) + 94/6.
140
Suppose 39*p - 10 = 848. What is the lowest common multiple of (-1)/(2/9)*(-52)/3 and p?
858
What is the common denominator of (-11 - -10) + 5/(500/223) and -109/216?
5400
Calculate the common denominator of 297/(-33) + 26128/2720 and -103/102.
510
Let n = -573765/8 - -125654813/1752. What is the common denominator of n and 39/8?
1752
Let v = -76/419 - -44069/5028. Let y = 2/315623 + -31247225/86480702. What is the common denominator of y and v?
1644
Suppose 6*a + 638 - 158 = 0. What is the common denominator of 26/7 and ((-910)/a + -12)/((-113)/76)?
1582
Suppose -6 = -4*n + n. Suppose 3 + 0 = k. Suppose c = -5*p + 22, k*c + 3 = p + 5. Calculate the lowest common multiple of n and p.
4
Suppose 12*g + 12 = -48. What is the lowest common multiple of 50 and 19 - -1*(-1 - (g + 3))?
100
Suppose 4935 = -16*q + 14*q + 3*j, -25 = 5*j. Let c = q - -49439/20. Find the common denominator of c and 63/248.
1240
Let m = 844/57 - 47/19. Suppose -4*a + 2*a = 5*q + 112, -5*q = -a - 26. Find the common denominator of (-21)/49*a/(-9) and m.
21
Let h = 373/14 - 17603/672. Find the common denominator of h and -115/996.
7968
Let y = -691/78 + 13353/1430. Calculate the common denominator of -157/930 and y.
10230
Let f(t) = t**2 + 6*t + 17. Let g(s) = -32*s - 5. Let p be g(0). Calculate the lowest common multiple of 208 and f(p).
624
What is the common denominator of 1/(-51)*-3*(1141/574 - 3) and 61/3198?
54366
Let j = 85/21 + -26/7. Let h = 32849/7924 + -3/1132. Find the common denominator of j and h.
21
Suppose 4*s - 22 = 18. Let d be (58/5 - 2) + (-4)/(-10). Let g = 12 - d. Calculate the smallest common multiple of s and g.
10
Let q(c) = 2177*c**3 - 3*c**2 + 14*c - 20. Calculate the least common multiple of q(2) and 20.
87060
Let g = 187 - 43. Let o = 125 - 80. What is the smallest common multiple of (-3)/5 + g/15 and o?
45
Let h(g) = -g**3 - g**2 + 45*g + 137. Suppose -4*s - 16 = -6*s. Calculate the least common multiple of h(-3) and s.
40
Let m(o) = -3*o + 25. Let k be m(0). Calculate the common denominator of (1 - -2) + 135/k and -4*1*((-32)/36)/(-1).
45
Let a = -116 - -114. What is the least common multiple of 0 - (-27 + 0/a) and 81?
81
What is the common denominator of (-203320)/(-171600) - ((-2)/(-4) + 1) and -53/141?
7755
Suppose 4*z + 22*b = 26*b - 4, 2*z - 4*b = 0. What is the least common multiple of 1443/37 - 2/z and 48?
240
Let d be 6 - -6*5/10. Find the common denominator of (-50)/84 + (-2)/(-3) and d/25*2090/152.
140
Let a = 4407 - 4202. What is the lowest common multiple of 410 and a?
410
Let a(v) = v**2 + 676*v + 5366. What is the smallest common multiple of 682 and a(-8)?
682
Suppose -110*y - 105 = -103*y. What is the smallest common multiple of y/10 + 2 - 57/(-6) and 90?
90
Suppose 126*z = -4526 + 105830. Calculate the smallest common multiple of z and 402.
804
Let j = -3024/5 - -36157/60. Find the common denominator of 1/11 and j.
660
Let b = -245 - -353. Suppose -1005*t = -1008*t + b. What is the lowest common multiple of t and 28?
252
Let d = 34961869/15240 - 22941/10. Find the common denominator of -59/1524 and d.
3048
Let f = -2/6903 + -89731/27612. Find the common denominator of 38/211 and f.
844
