8. Find the common denominator of (28/49)/(45/n) and -83/18.
90
Let l = -12 + 17. Suppose 0 = 2*y + 3*k + 61, -4*y - 20 - 107 = l*k. Calculate the smallest common multiple of 7 and y/(-5) - 16/(-40).
56
Calculate the least common multiple of 74 and 590/50 + (-1)/(-5).
444
Suppose -3*g - r + 38 = 0, -2*g + 5*r = g - 8. What is the least common multiple of g and 13?
143
Calculate the common denominator of (-44)/(-22)*(-190)/352 and 51/2.
88
Let i(c) = -12*c + 40. Suppose h - 24 = -h. What is the lowest common multiple of i(3) and h?
12
Suppose 3 = c, -j - 7 = c - 5*c. Suppose 0*x + 3*x + 197 = j*l, -2*l = -5*x - 75. Calculate the least common multiple of l and 32.
160
Suppose 4*j + 4 = 2*j. Calculate the least common multiple of 7/j*(-380)/133 and 4.
20
Let x(z) be the third derivative of z**6/120 + z**5/12 - 7*z**4/24 - 2*z**2. Let g = 115 + -111. What is the smallest common multiple of x(-6) and g?
12
Suppose 0 = -152*o + 158*o - 462. What is the lowest common multiple of 6 and o?
462
Let z(v) = -v**2 - 35*v + 104. Calculate the smallest common multiple of z(-37) and 45.
90
Let a = -8923 + 124851/14. Let i = 10 + -9. Find the common denominator of a and (-89)/(-4) + i - (-25 + 26).
28
Let i = 47 + -48. Find the common denominator of (11/88)/(i/(-7)) and 1/10.
40
Let x be 20/(-3)*(-918)/(-15). Suppose 0*j - 3*j = -21. What is the lowest common multiple of j and x/(-40) - 3/15?
70
Calculate the common denominator of (-7)/((-112)/(-1740))*(-16)/400 and 11/10.
20
Let y = 18233 + -46767641/2565. Let x = y - 113723/5130. Let p = 7994 - 64035/8. What is the common denominator of p and x?
24
Find the common denominator of 65/16 and ((-2)/1400)/((-3)/(-198)).
2800
Let k = -520/1553 + 191186759/23295. Let c = k + -8210. Calculate the common denominator of 65/4 and c.
60
Let x(a) = 4*a + 41. Let y = 56 + -65. What is the smallest common multiple of x(y) and 6?
30
Suppose -9*r + 40 = -14*r. What is the least common multiple of (-158)/r + 1/4 and 10?
20
Let n = 1361 + -631. Find the common denominator of ((-6)/(-60))/((-4)/n) and 107/22.
44
Let x = -173 + 200. Calculate the least common multiple of x and 105.
945
Let y = -79 + 95. What is the least common multiple of y and (-66)/(-110) - (-67)/5?
112
Suppose 5*y + 4*r + 36 = 0, 2*y = -0*y - r - 12. What is the smallest common multiple of (286/39)/(y/(-18)) and 3?
33
Suppose 4*v - 55 = f, -57 + 6 = -4*v + 5*f. Suppose h = b + 3 + 3, b = 3*h - v. Calculate the least common multiple of 9 and h.
36
Let a(l) = -l - 8. Let w be a(-14). Calculate the common denominator of (1*27)/(-3 - -1) and ((-28)/(-44))/(2/w).
22
Let p = -77 - -48. Find the common denominator of -14 and 1*1/p*36.
29
Let n(q) = -4*q**3 + q**2 + q. Let r be n(-1). Suppose r*x - 107 = -19. What is the smallest common multiple of 34 and x?
374
Let d(k) be the first derivative of 5*k**3/3 + k**2/2 + 2*k - 2. Let w(f) = f - 11. What is the smallest common multiple of w(13) and d(-2)?
20
Let w = -247 - -172. Let c = -54 - w. What is the least common multiple of 30 and c?
210
Let u be -2*747095/(-92)*1. Let n = 16240 - u. Calculate the common denominator of n and ((-75)/42 - 2) + -2.
322
Suppose 4*w = 12 + 4. Calculate the smallest common multiple of w and 11.
44
Let d(j) = -j**2 - 10*j + 338. Calculate the least common multiple of d(14) and (2 + 0)*(0 - -2).
4
Let o(f) = f**3 + f**2 - 4*f + 6. Let c be o(-3). Suppose 3*z - 34 + 4 = c. What is the least common multiple of z and 2?
10
Let o(q) = -5*q - 2. Suppose -3*k + 2*k + 2 = 0. Let p be o(k). Let s = 23 + p. Calculate the lowest common multiple of s and 11.
11
Let y = 25 + 17. Suppose 5*c - 3*k - y = k, 4*c - 39 = 5*k. What is the least common multiple of 8 and c?
24
Let v(u) = 1 - 4 + 4 + u + 0*u. Let d be v(1). Calculate the common denominator of (2877/(-18))/(-7) + d and 47/3.
6
Suppose -25 = -2*d + 7*d, -3*g + 51 = 3*d. Let r = g - 15. Let j(n) = -n**2 + 7*n - 4. What is the least common multiple of j(5) and r?
42
Let z = 1514 - 24207/16. Let j = 2/1165 - -85041/2330. What is the common denominator of j and z?
16
Let t = 990 - 2929/3. Let o = 1959 + -3160. Let r = -7183/6 - o. What is the common denominator of r and t?
6
Suppose -11*v + 3040 = 5*v. What is the smallest common multiple of v and 209?
2090
Let y(v) = -v**2 + 4*v - 7. Let k be y(2). Calculate the smallest common multiple of -4*(-1)/(k - -4) and 18.
36
What is the smallest common multiple of 27 and (9/(-2))/((-8)/16)?
27
Let m = -351905/146832 - -5/6118. What is the common denominator of -4/11 and m?
528
Suppose 451 + 89 = 15*t. Calculate the lowest common multiple of t and 66.
396
Let l = -25 - -31. What is the common denominator of (-35)/2*8/(-30) and l/(-14) + (-464)/126?
9
Suppose -2*b = -o - 0*b + 37, -3*o + 61 = 4*b. Suppose -4*n + 3*i = -75, -2*n - 50*i = -45*i - 57. Calculate the least common multiple of n and o.
189
Let s(y) = 5*y**2 + 33*y**3 + 2 - 3*y**2 - 34*y**3 + 5*y. Calculate the least common multiple of 14 and s(3).
56
Let n = 196 + -117. Suppose 5*p + 5*d = 90, 3*p + 4*d + 27 = n. What is the least common multiple of p and 8?
40
What is the common denominator of 113/42 and (38/(-152))/((-2)/(-28))?
42
Suppose 0 = -u + 2*b + 13, 2*u = 6*u + 4*b - 16. Let v(s) = s**3 - 6*s**2 - 7*s + 21. Calculate the lowest common multiple of 21 and v(u).
21
Let p(c) = 18*c**2 - c - 1. Let h(n) = 4*n + 168. What is the smallest common multiple of p(-1) and h(-37)?
180
Let q(t) = -t**3 - 27*t**2 + 57*t + 34. What is the lowest common multiple of q(-29) and 111?
2331
Let k(u) = -u**3 + 6*u**2 + 16*u + 10. Let p be (-220)/(-6) + 4/(-6). Suppose 0 = -0*r + 3*r - p. What is the smallest common multiple of k(8) and r?
60
Let v = -3288 - -5381. Let n = v + -33471/16. Calculate the common denominator of n and (-3)/(-15)*(-5)/4*89.
16
Let v be (224/(-70))/((-1)/79). Let j = 509/2 - v. Calculate the common denominator of j and 77/16.
80
Let r = -5539 - -82996/15. What is the common denominator of ((-2)/((-210)/(-115)))/((-1)/1) and r?
105
Calculate the common denominator of (-25)/(-2)*91/35 and -107/6.
6
Suppose 4*g + 3*q - 6 = 0, -4*g - 3 = q - 5. Let w = g + 14. Suppose k + 3*p - 2 = 6, -k - 4*p = -6. Calculate the lowest common multiple of k and w.
14
Suppose 21*d - 812 = 805. What is the smallest common multiple of d and 70?
770
Let r = -39 - -41. Let t(h) = -h**2 - 7*h - 3. Let s be t(-6). Let w = r + s. Calculate the least common multiple of w and 6.
30
Let m(s) = -9*s + 2. Let b be 1/((-2)/(7 + -1)). Let f be m(b). Suppose -f*y + 24*y = -80. What is the least common multiple of 16 and y?
16
Let y = 16078745743753005 - 55182256180803646537/3432. Let o = -229674633 - y. Let v = o + 3/143. What is the common denominator of 67/2 and v?
24
Let f = 7887011053/394 - 20017820. Let o = f - 10/197. Let a = -49941/40 - -6192/5. What is the common denominator of o and a?
8
Suppose -3*i = q - 10, 5*q - 15 = -4*i + 4*q. What is the common denominator of 91/20 and 33/i + (-1)/(-2)?
20
Let u be -90*(1 + 16/(-12)). Calculate the least common multiple of u/(-4)*(56/(-20) - -2) and 26.
78
Let r(b) = -b**3 + 9*b**2 + b + 3. What is the least common multiple of 15/((-3)/2 - -4 - 1) and r(9)?
60
Let z = 21 - 7. Suppose 5*v + 4*i = 9, -5*i + 0*i = 3*v - 8. What is the smallest common multiple of z and v?
14
Let f = 42 - 21. Suppose 3*p = -3*y + 42, 2*y + 5*p - f = 13. What is the lowest common multiple of 12 and y?
12
Let y(h) = 16*h - 112. Let f = -29064305/78 + 2218355/6. Let g = -2896 - f. Calculate the common denominator of g and y(5).
13
Let n = 1750 - 13971/8. Calculate the common denominator of n and -44.
8
Suppose -5*r = 2*r - 28. Suppose 5*k = -r*k + 36. Calculate the lowest common multiple of k and 40.
40
Suppose -12 = -m + 21. Let x(q) = q**3 + 20*q**2 - 186*q + 9. What is the least common multiple of m and x(7)?
330
Let j(u) = u - 1. Let l be j(5). Suppose -52*g + 6 = -54*g, 2 = -2*y - 2*g. What is the lowest common multiple of y and l/((-1)/(-4)*2)?
8
Let d = -68 + 84. Suppose -k + d = -5. What is the least common multiple of 1 and k?
21
Calculate the common denominator of -19/230 and -2 + 130/80 + (-117)/552.
230
Suppose -2*l = 2*t - l + 39, -3*t + 3*l = 72. Suppose 0 = 5*n - 3*g - 125, 0*g = 4*n - g - 107. Let w = n + t. Calculate the le