 the common denominator of -73/54 and -3 - (-8 - 305/(-80)).
432
Let c be (-1 - (4 - 3)) + 302. Suppose 5*m = -f - 31, -m - f - 8 + 1 = 0. What is the common denominator of -63/4 and ((-62)/m)/(c/135)?
20
Let q = 37901/24 - 1583. Find the common denominator of q and 47/132.
264
Let p(x) = 2*x**3 - 2*x**2 - 3*x + 39. What is the lowest common multiple of p(0) and 10?
390
Let k = 3 + -1. What is the smallest common multiple of k and (420/(-135))/((-2)/9)?
14
Let d be 6155409/(-480) - 4/20. Let f = d + 12827. What is the common denominator of -67/8 and f?
32
Let v = -397/17 - -22311/935. Calculate the common denominator of 79/2 and v.
110
Let v be (-2)/(-60)*(-22)/1793. Let n = 15790358856049/9780 + -1614556131. Let q = n + v. What is the common denominator of q and 83/8?
8
Let x be (2/(-20))/(-3 + (-411)/(-42)). Let c = x - -25301/8550. Let k = -21091/20 + 1053. Find the common denominator of c and k.
180
Let l(c) = -c**2 + 4*c + 4. What is the smallest common multiple of l(4) and 4?
4
Suppose 0 = 5*n - 4*n + 4*u - 5, 5 = n - 4*u. Suppose n*v + 4*c = 716, -3*c + 13 - 1 = 0. What is the smallest common multiple of (-1)/3 + v/15 and 4?
36
What is the smallest common multiple of (65/(-26))/(1/(-6)) - -7 and 84/10 - 6/15?
88
Suppose 16 = -2*g + 6*g. Suppose -5*u + 58 = -47. Suppose -4*h + u = z - 16, -z = h - 7. Calculate the least common multiple of h and g.
20
Let m(n) = n - 5. Let d be m(-3). What is the lowest common multiple of 2 + (-2)/(d/20) and (0 + 15)*(-1)/(-3)?
35
Suppose -17*b + 13*b + 216 = 0. What is the least common multiple of 24 and b?
216
Let l = 20 - 24. What is the common denominator of 172/(-10)*(-3)/12 and (l - (-148)/10) + 1?
10
Let j = -2819/3 - -921. What is the common denominator of j and -23/14?
42
Let g = -46 - 14. Find the common denominator of 4 - (-201)/g - 2 and -45/28.
140
Let c(f) = f**2 + 12*f - 11. Calculate the lowest common multiple of 10/4*(-12)/(-15) and c(-15).
34
Let b = 652 - 425. Calculate the least common multiple of b and 6.
1362
Let n(d) = -2*d**3 - 4*d**2 - 11*d - 2. Suppose 5*r + 20 = r. Let o be n(r). Let z = o - 557/3. Find the common denominator of 22/9 and z.
9
Calculate the common denominator of (-37202)/47388 + 4/6 and 13/2.
718
Let w(r) be the second derivative of r**4/3 - 2*r**3/3 - r**2/2 + 8*r. Calculate the least common multiple of w(2) and 6.
42
Find the common denominator of -32/15 and (5 + -7)/((-3)/10).
15
Let o(c) = c**3 - 16*c**2 + 16*c - 1. Let l be o(15). Let f(g) = g**2 + 3*g + 4. Calculate the least common multiple of ((-7)/(l/(-80)))/2 and f(-4).
40
Calculate the common denominator of (58/48)/(39/260) and -73/6.
18
Suppose -9*g = -6*g - 594. Calculate the smallest common multiple of 33 and g.
198
Find the common denominator of 4/((-2352)/1001) + 6/(-21) and 151/72.
504
Let j be (2 + -6 - -4)/2. Let q be 65 - 3 - (2 - j). Suppose 2*p - q = -3*p. Calculate the smallest common multiple of 18 and p.
36
Suppose 34*r + 15 = 37*r. Suppose -r*u - 39 = -119. Calculate the smallest common multiple of u and 16.
16
Let z = 128391/16 + -8029. Find the common denominator of z and 1814/(-280) - (-27)/63.
80
Let x be -3*12/(-9) + -3. Suppose 4 = 2*n, y - 7 = 5*n + x. Suppose -2*c = -5*c + 42. Calculate the smallest common multiple of y and c.
126
Suppose 0 = -210*i + 222*i - 216. What is the smallest common multiple of i and 5?
90
Let u = 454/5 - 3447/40. Find the common denominator of u and (8/(-6))/(41/(-33)).
328
What is the common denominator of (-1405)/(-270) + -8 - (-5 - -2) and 133/36?
108
Let u = 131 - 127. What is the lowest common multiple of u and 108?
108
Let n = 23921/30 - 802. Find the common denominator of n and 34/21.
210
Let q be (-12)/(-30) - 24/10. Find the common denominator of (13 + q)*7/(-49) and 16/5*15/(-33).
77
Let z(o) = -o**2 - 7*o + 48. Calculate the lowest common multiple of z(-10) and 12.
36
Let j(m) = 83*m**2 + 5*m - 4. Suppose -4*v = -n - 1, -5*n + 3 = 5*v - 17. What is the lowest common multiple of j(v) and 6?
84
Let b = 52706613 - 110156833761/2090. Let t = -26/209 - b. What is the common denominator of 97/6 and t?
30
Let c(t) = t**3 + 6*t**2 - 4*t - 18. Let d be c(-6). Find the common denominator of 49/92 and (-6 + (-75)/(-20))/(d/(-26)).
92
Let b = 15847/300 + -1326/25. Calculate the common denominator of 23/200 and b.
600
Suppose 0 = 4*h - 3*m - m - 40, 35 = 3*h + 2*m. Let z = h + -7. What is the least common multiple of z and 1/(2*34/(-36) - -2)?
36
Let y = -1 - -3. Let u(o) = -o - 11. Let g be u(-5). Calculate the common denominator of 1 - y - (-52)/g and -69/16.
48
Let z = -2748474118/1097337405 + 25377/197986. Let j = z + -42/739. Calculate the common denominator of -137/18 and j.
90
Find the common denominator of ((-39)/(-15) - 4)*(-138)/21 and -53/10.
10
Let j(o) = -3*o - 1. Let i(n) = -n**3 - 4*n**2 - 2*n - 3. Let d be i(-2). Let y = -344 - -362. Calculate the least common multiple of y and j(d).
180
Let d(f) = -f**3 + 14*f**2 + 2*f - 30. Let x be d(14). Calculate the smallest common multiple of (0 - -1 - x)/((-29)/(-3074)) and 10.
1590
Let y(p) = -p**3 + 9*p**2 - 5*p - 15. Let r be y(8). Suppose q - 5*c = 21, 0*c - 5*c + r = 4*q. Calculate the least common multiple of q and 8.
24
Suppose -3*m + 10 + 5 = 0. Suppose -m*w = 3 - 13. Suppose -32 = -3*i + w*j, 0 = 3*i - 4*j + 3*j - 28. What is the smallest common multiple of i and 2?
8
Let i = -1023/2 - -7051/14. Let n = 3/367 - -17595/2569. Calculate the common denominator of i and n.
7
Let z(l) = 5*l - 2. Suppose -5 = 2*h - 7*h. Let w be z(h). Suppose 0 = -w*p + 6 + 6. What is the lowest common multiple of p and 9?
36
What is the common denominator of 174/(-87)*(-4)/(176/90) and 12/8*(-65)/(-27)?
198
Let y be (-6)/(-2700)*-1291 + 3/(-4). Let z = -49/50 - y. What is the common denominator of z and 93/2?
36
Let i = 109 + -57. Suppose 0 = -2*r + i - 30. What is the least common multiple of 1 and r?
11
Let f = 2/43 - -3262/129. Let j = -1/2762 - -49028/6905. Find the common denominator of f and j.
30
Let f be (-2)/(-4) - 17/2. Let q be (-2 - 0)/((-2614)/f). Let u = 132087/13070 + q. Calculate the common denominator of 109/10 and u.
10
Let z(g) = -9*g**2 + 5*g + 3. Let i be ((-6)/5)/((-15)/(-50)). Let s be z(i). Let f = -2573/16 - s. Calculate the common denominator of f and -89/22.
176
Let u(j) be the third derivative of -j**4/24 + 5*j**3/3 - 11*j**2. What is the least common multiple of 21 and u(4)?
42
Let g(o) = o + 50. What is the least common multiple of 24 and g(62)?
336
What is the common denominator of 5*426/600 + 2/2 and -71/2?
20
What is the common denominator of (-1)/5 + 1 - 3598/210 and ((-88)/(-12))/(20/6)?
15
Let q(d) = -34*d**3 + 8*d**2 - 6*d. Let t be q(6). Let j = t + 141869/20. Find the common denominator of j and 93/8.
40
Let r be (-42)/(-3) + 2 + -1. Suppose -3 = 2*b - r. Let i = -110 - -114. What is the least common multiple of i and b?
12
Let k(z) = 11*z**2 + 1. Let w be k(-1). Suppose 2*p = 3*p + w. Let m = p + 19. What is the smallest common multiple of 6 and m?
42
Find the common denominator of 2/(-1) - 26/(-18) and 26.
9
Let h(i) = -2*i**2 - 4*i - 10. Let u be h(-4). Let o = u + 32. Suppose -19*t = -17*t - 16. What is the lowest common multiple of t and o?
24
Let s = -3646 - -50989/14. What is the common denominator of (-486)/(-32) + 801/(-89) and s?
112
Suppose 0 = -7*t + 2*t + 58920. Let j be (13235/(-22))/(t/(-16)). Let p = j + 2/1473. Find the common denominator of 44/7 and p.
77
Let w = 39 + -26. Suppose 0 = -4*s + 5 + 15. What is the smallest common multiple of s and w?
65
Find the common denominator of 7330/990 + (-2)/11 and (66/27)/((-2)/(-15)).
9
Let n = 1007/4 - 248. Calculate the common denominator of n and 2/6 + (-37)/(-42).
28
Suppose 0 = -5*f - 2*h + 36, 3*h - 2*h - 27 = -4*f. What is the common denominator of f/((-1440)/2428) + 2/10 and -37/21?
84
Let s(o) = 91*o**3 + 8*o - 9. Calculate the least common multiple of s(1) and 126.
630
Let f = -4/1355 - -107069/8130. Let t be 6387/(-14805) - 21/(-49). Let j = -10567/2820 + t. Calculate the common denominator of f and j.
12
Let i = 307/23166 - 35/162. What is the common denominator of i and 40/39?
429
Suppose 13 = 3*m + 79. Let h = 23 + m. What is the least common multiple of 1 and (4 + -4)/h - -3?
3
Suppose i - 210 + 