4623 + 92521/20. Let x = 5698 - 56923/10. Calculate the common denominator of x and r.
20
Suppose -q + 3 = m, -17 = -5*m - 3*q - 2. Suppose -7*w + 188 = -m*w. Let l = -1854/5 - -366. What is the common denominator of l and w?
5
Suppose -3*l + 3 = -2*l + 3*n, -5*l + n + 63 = 0. Suppose -l*h = -148 - 44. What is the smallest common multiple of 20 and h?
80
Let s(f) = f**2 - f. Let x = 8 + -4. Suppose c - 4 = x. What is the lowest common multiple of c and s(2)?
8
Let y be 2 - 9/5 - 549/(-5). What is the common denominator of y/4 - 0/(0 + 1) and -54/13?
26
Let d be 1/(((-3)/6)/1). Find the common denominator of ((-3)/(-4))/(9/177) and d/6 - 815/30.
4
Let z = 4723/6 - 775. Find the common denominator of z and 17/86.
258
Calculate the common denominator of 20/41 and (-8)/(-20) + (1672/70)/(-4).
287
Let u = 79937 - 640379/8. Let n = -453/4 - u. What is the common denominator of n and 18/13?
104
Let f be (-5)/5 + (18 - 1). Let r = 138743/24 + -5782. Calculate the common denominator of 0 - -51*4/f and r.
24
What is the lowest common multiple of ((-12)/(-10))/((-104)/(-3380)) and 15?
195
Let q(s) = 53*s**3 + 4*s**2 - 11*s + 12. Calculate the least common multiple of 5 and q(2).
430
Let b = 18162 + -436021/24. Find the common denominator of b and 0 - (74/18 - -1).
72
Let x = -29068 - -1744181/60. What is the common denominator of x and (236/24)/(4 + -3)?
60
Suppose -27 = -64*v + 61*v. Suppose 0 = d + 4*d - 135. What is the least common multiple of v and d?
27
Let t = 10779/7 - 356113/231. Let y = -5219/660 - t. Find the common denominator of y and 61/82.
820
Let j(y) = y**3 - y**2 + y + 1. Let d(c) = 3*c**3 + 3*c**2 - 8*c - 19. Let p(g) = d(g) - 2*j(g). What is the lowest common multiple of 6 and p(-6)?
6
Let b(y) = y**2 + 10*y + 19. Let l be b(-7). Calculate the smallest common multiple of (-32)/(3/(l + 1) + 1) and 4.
16
Let p = -60 - -80. Let d = p - -26. What is the least common multiple of d and 16?
368
Calculate the common denominator of -91/50 and ((-973)/556)/((-1)/(56/30)).
150
Let o be ((-2)/146)/(18/4). Let z be (-145950)/(-31536) + (-1 - 3). Let s = z + o. Calculate the common denominator of 16/3 and s.
24
Suppose 0 = 4*z + 4*y - 56, -5*z + 4*y + 46 = 3*y. What is the lowest common multiple of 25 and z?
50
Find the common denominator of 20/(-180) + 77/(-72) and -83/44.
792
Let u = -115 + 115. Suppose u = 12*f - 7*f - 135. What is the least common multiple of 24 and f?
216
Suppose 0 = 7*n - 380 - 61. Calculate the lowest common multiple of 9 and n.
63
Let f be 369 + 9 - 2/((-2)/(-3)). Let p = 8315/22 - f. Find the common denominator of 81/22 and p.
22
Let q = -563 - -607. Calculate the lowest common multiple of q and 4.
44
Suppose 0 = 3*q + 3*q + 30. Let b = 8 + q. What is the least common multiple of b and 42?
42
Let i = 5 - 9. Find the common denominator of 1 + 10 + -33 + 42 and 388/(-30) - i/(-10).
3
Let g be (3/18)/((-100)/(-465349122)). Let j = 775570 - g. Let x = j - -3/25. Find the common denominator of x and 71/12.
12
Let b(f) = 2*f - 13. Let o be b(9). Suppose -3*g + 7*d = 3*d - 17, -3*g = o*d - 53. Suppose -l = -5 + 4. What is the least common multiple of g and l?
11
Let b = 19516331/80 + -243958. Let i = -6901/720 - b. Find the common denominator of 29/27 and i.
54
What is the smallest common multiple of (-312)/(-195)*((-22)/(-8) + 1) and 63?
126
Let s(d) be the second derivative of -d**4/12 + d**3/3 - d**2 - 2*d. Let m be s(4). Find the common denominator of -2 - ((-2)/m - -3) and -49/11.
55
Let g = -4323/7 - -8749/14. Let r = 43/14 - 45/14. Find the common denominator of r and g.
14
Let n be 122859/(-24) + (-2 - -1). Let z = n + 5110. Find the common denominator of (-39)/4*(-8)/(-16) and z.
8
Calculate the common denominator of 37/48 and -6 - ((-662)/160 + 24/(-40)).
240
Calculate the common denominator of 10/(-42)*(-231)/1540 and -52/413.
1652
Let v = -1048186/55 - -19057. Find the common denominator of 48/7 and v.
385
Suppose 4*n + 2*k - 44 = 0, -23*n + 21*n + 3*k = -6. Calculate the smallest common multiple of 36 and n.
36
Let w = 158 + -115. What is the lowest common multiple of w and 10?
430
Let h = 85 - 45. Suppose 3*l - 2*l - 2*o - 5 = 0, 3*l = o. Find the common denominator of -151/6 and 215/h - (1 + l).
24
Suppose -22428 = 11*k - 2*k. What is the common denominator of (17540/k - -7) + 2/7 and -19/7?
623
Let l = 286396/117 + -7342/3. Find the common denominator of l and -17/91.
819
Let y be ((-240)/(-10))/(2/(-54)). Let s be (10/8)/(18/y). Calculate the smallest common multiple of 11 and (-30)/s + 19/3.
77
Let g = 12839 - 18834814/1467. Let i = -19087/23472 - g. Calculate the common denominator of i and -31/10.
80
Let n be 2/(-8)*(-14330)/3. Suppose -30*j + 14914 + 20606 = 0. Let i = n - j. Calculate the common denominator of -85/4 and i.
12
Let v = -1882/5 + 34081/90. Let z = 515537037/4615 + -111709. Let q = z - 89539/18460. What is the common denominator of v and q?
180
Calculate the common denominator of (-942)/1440 + 5/(-25) and -77/36.
144
Let h be ((-240)/(-25))/6*5. Suppose -5*p - h + 28 = 0. What is the lowest common multiple of p and 16?
16
Calculate the common denominator of -27/20 and 156/(-26) + 514/76.
380
Let c = 105 - 70. Let m be 99/21 - (-10)/c. Suppose 4*s - 4*u - 36 = 0, m*u = 4*s - 11 - 25. Calculate the least common multiple of 17 and s.
153
Let p(b) = 2*b**3 + 9*b**2 - 7*b - 1. Let y(f) = -1 + 4*f - 2 - 3*f + 1. Calculate the smallest common multiple of p(-5) and y(6).
36
Find the common denominator of ((-6)/(-3))/1 - 297/(-486) and -27/4.
36
Let t = 391/4 + -321/4. Let f be 1*(3 + 2 + -2). Find the common denominator of f + 4/(-32)*69 and t.
8
Let u(x) = -11*x + 8. Let q be u(-7). Let w = q + -61. What is the smallest common multiple of w and 20?
120
What is the common denominator of -59/14 and 124/(-32)*12/(-5469)?
25522
Suppose 8 = -3*g + 50. Let r(k) = k**2 + 87*k + 564. What is the smallest common multiple of r(-6) and g?
546
Suppose 0 = 3*i + 9, 4*x = 8*x - 2*i - 174. Calculate the common denominator of (-7)/(-2)*15/x and 91/12.
12
Calculate the lowest common multiple of (-15)/105 + 85/7 and 24.
24
Let b(p) = -p**3 - 6*p**2 - p - 10. Let h be b(-6). What is the least common multiple of (2/3)/(3/9) and ((-12)/(-4))/((-6)/h)?
2
Let t = -460 - -471. What is the least common multiple of 149 and t?
1639
Let f(i) = 2*i**2 - 17*i - 1. Calculate the lowest common multiple of f(9) and 72.
72
Suppose 0 = -4*b - 8, 6*u - 7*u = -2*b - 14. What is the lowest common multiple of (1 - 9)/(-2) + 2 and u?
30
Suppose -19*s + 860 - 594 = 0. What is the lowest common multiple of s and 236?
1652
Let c = 34283/26320 + 23/658. What is the common denominator of -173/168 and c?
1680
Let s = -41 + 66. Suppose v + s = 2*v - 3*m, 0 = 3*v - 3*m - 45. Calculate the smallest common multiple of 18 and v.
90
Suppose 3*w = 2*s + 7, 3*s + 0*w = w. Let l = 45 - 40. Suppose f - l*r - 3 = 0, -3*f + r - 2*r = -25. Calculate the least common multiple of s and f.
8
Let b = -29 - -61/3. What is the common denominator of b and -61/16?
48
Suppose -3*c - 3*r + 27 + 24 = 0, r + 67 = 6*c. Calculate the smallest common multiple of c and 32.
96
Let m = -3823/56 - -449/7. Calculate the common denominator of -16 + 10 + (-335)/(-10) and m.
8
Let n = -3745 - -1077. Let r be (-10)/n*(-3)/(-30). Let q = 118733/18676 - r. Find the common denominator of 13/14 and q.
14
Let w = -8587/6 + 1446. Find the common denominator of -76/3 and w.
6
Let l = 2/1171 + -8279/48011. What is the common denominator of -43/11 and l?
451
Let j = -415 - -431. Calculate the smallest common multiple of j and 28.
112
Let f be (-1115)/87*(-11)/6. Let o = 1/261 + f. Find the common denominator of 49/8 and o.
8
Suppose 22*i = 35*i - 832. Calculate the least common multiple of i and 4.
64
Let x = -156 + 157. Calculate the lowest common multiple of 243 and x.
243
Let v = -295585/3278 + -57/298. Let u = -424710/7 - -9322697/154. Let c = u - v. Find the common denominator of c and -83/16.
16
Let f = -2461/270 + -59/27. Find the common denominator of f and 28/(1008/(-30)) + 146/168.
140
Let q = -30 - -53. Let h = -18 + q. Suppose h*u - 53 = -2*z + 59, z = -4. Calculate the least common multiple of u and 4.
24
Let s(h) = 4*h + 4. Let y be s(-11). Let m = -27 - y. Let i = m + -12.