8. Calculate the common denominator of i and 53/20.
120
Let a = -52 - -79. Let q = a - -3. What is the least common multiple of 18 and q?
90
Suppose 2*a - 2*j - 3*j = -135, -a - 72 = 2*j. What is the common denominator of 28/5 and (a/(-30))/(1/10)?
15
Let u = -2335027/74 + 31555. What is the common denominator of 145/18 and u?
666
Let w(b) = 5*b + 3. Suppose -3*g = 4*f - 17, 3*f = -g + 4*f + 1. Let v be w(g). Calculate the common denominator of (-100)/v + (-2)/(-4) and 43/18.
18
Let j = 510 - 402. What is the least common multiple of 32 and j?
864
Let a = -94 - -200. Suppose -2*q + 306 - a = 0. What is the lowest common multiple of q and 10?
100
Suppose 17*v - 2 = 16*v. Suppose -v*n + 31 = 2*g + 3*n, -2*n - 122 = -4*g. What is the smallest common multiple of 10 and g?
140
Let o = -7529/37 - -339615/592. Let a = -369 + o. Find the common denominator of a and 67/2.
16
Let i(n) = 9 - 2*n**3 + 8*n**2 - 3*n**2 + 20*n**2 + 13*n. What is the smallest common multiple of 10 and i(13)?
90
Calculate the common denominator of 19/50 and (6/4)/(300/72).
50
Let j be 3 - 18*(-52)/(-320). Let k = j + -1/280. Find the common denominator of k and 6/(-12) + (-42)/(-15).
70
Calculate the common denominator of 6492/(-5472) - (-4)/(-38) and -4/153.
1224
Let p(d) = -9*d + 200. What is the lowest common multiple of 21 and p(21)?
231
Let r = -10870 + 130561/12. Calculate the common denominator of r and -1/20.
60
Let k = 4/8457 - 146624/76113. Find the common denominator of k and -59/3.
27
Let i = -2 - -3. Let w be (2 - i)*0/(-1). Suppose -5*g + 2*q = -43, 4*q + 51 = -w*g + 5*g. What is the least common multiple of g and 7?
7
Let p = -98 + 32. What is the common denominator of -31/16 and (6/40)/(p/(-4895))?
16
Suppose 181 = -t + 5*t - 5*s, 5*s = -25. What is the smallest common multiple of t and 11?
429
Let q = -78 + 78. Suppose 3*x + 5*b + 1 = q, 4 = -4*x - b + 31. What is the lowest common multiple of x and 4?
8
Suppose -3*v + 3*y = -y, 3*v + 2*y = 18. Suppose -v*z = -27 + 3. Suppose -26 = -2*w - z. Calculate the smallest common multiple of w and 18.
90
Calculate the common denominator of (7/35)/((-16)/510) and (-12)/(-21) + (-737)/(-168).
24
Let j(p) = -95*p - 50. Let c be j(2). Suppose -q = -0*q - 9. Calculate the common denominator of (2/q)/(5/c) and -57/8.
24
Let a = 3 + 0. Let u(k) = k**2 + 4*k - 71. Calculate the least common multiple of u(-11) and a.
6
Suppose 5*v - 150 = -5*t, 0 = -t + 4*t - 9. Calculate the lowest common multiple of v and 8.
216
Suppose -m - 26 = 78. Calculate the common denominator of (1 + 7/8)/((-42)/m) and (-4)/(-6) + 97/18.
126
Let m = 358093/17684 - -2/4421. Find the common denominator of -11/51 and m.
204
Suppose -3*u - a + 54 = 0, u - 4 = 3*a + 14. Calculate the least common multiple of (128/24)/(4/6) and u.
72
Suppose 4*r - 479 - 74 = -3*y, -5*r - 10 = 0. Let s = 502/3 - y. Calculate the common denominator of (-50)/(-4)*4/(-11) and s.
33
Suppose 40*k - 11*k = 725. Calculate the smallest common multiple of 65 and k.
325
Calculate the smallest common multiple of 1 + (-20 + 29)/(2 + -1) and 9.
90
Let u = 107 + -65. Let t = 306 - 188. What is the common denominator of (t/12)/((-280)/u) and -103/14?
280
Let l(m) = -202*m - 2. Let h be l(-1). Suppose -3*d + d + h = -4*z, -2*d = -3*z - 196. Calculate the smallest common multiple of 20 and d.
460
Let v be 32525807*41 + (2 - -1). Let o = v - 4283388621191/3212. Let g = o + -6/803. Find the common denominator of g and 37/11.
44
Let t = 835 - 465. Suppose -3*s - 2*s = 2*i + t, s - 185 = i. Let p = i - -311/2. Calculate the common denominator of 58/3 and p.
6
Suppose 2*f + f - 30 = 0. Let h(b) = b**3 + 5*b**2 - 3*b + 10. Let p be h(-6). Let i = p + 24. Calculate the least common multiple of f and i.
80
Let j(x) be the second derivative of -x**4/12 - 7*x**3/6 + 6*x**2 + 14*x. Suppose -3*g = 2*g - 40. What is the smallest common multiple of j(-8) and g?
8
Let j be 75/(-10)*8/10. Let k = j - -6. Suppose k = 2*o - 20 + 4. Calculate the least common multiple of o and 7.
56
Find the common denominator of -33/7 and (6/(-32) - 2) + -46 + 47.
112
Let c = -127 - -129. Let u = 38 + -22. Calculate the lowest common multiple of u and c.
16
Find the common denominator of 33/14 and (-18)/(-72) - (-485)/20.
14
Let x = -14/13 - -233/156. Let b = -252343/24 + 10516. What is the common denominator of b and x?
24
Let t(x) = -11*x + 225. What is the lowest common multiple of t(10) and 30?
690
Let b = 18/67 - -4551/268. Find the common denominator of 148/(-28) - -1*2 and b.
28
Let b be (-5 - -7) + -2*2. Let l be (-823221)/(-58280) - 4 - b. Let v = -2/7285 + l. What is the common denominator of v and 93/10?
40
Suppose 21 = 4*s - 3*p, 3*s = s + 4*p + 18. Let f be ((-3)/2)/(s/(-8)). What is the least common multiple of 2 and 6/(-4) + 70/f?
16
Suppose 0 = -3*p + 4*s + 13 + 21, -2*p + 2*s + 20 = 0. Calculate the least common multiple of 141 and p.
282
Let x = 2/9133 + 611895/73064. Let a = 52 + -40. What is the common denominator of x and (a/(-14))/((-32)/(-1064))?
8
Let v = -5/31 - 565/341. Let f be 6/56*186082/3111. Let m = 15/122 - f. What is the common denominator of v and m?
77
Suppose 244 = 4*k - 5*t, -4*k + 0*k = 2*t - 216. What is the common denominator of 34/11 and k/(-110) - 1*2/5?
11
Calculate the common denominator of ((-92)/90)/((-32)/(-24)) and -58/275.
1650
Let o be (1 + 0)/(6*2/228). Suppose 0*u + 18 = u - 2*r, u - 3*r = o. What is the smallest common multiple of u and ((-4)/(-12))/((-2)/(-12))?
16
Let t = -42 - -43. Let c be 26/10 + 6/15. Let l = t + c. Calculate the lowest common multiple of 3 and l.
12
Calculate the smallest common multiple of 78 and -2 + 7 + (-4 - (-10)/5).
78
Let b = -62 + 66. Suppose b*p = -y + 402, -p - 4*p + 502 = y. Calculate the lowest common multiple of 4 and p.
100
Let d = -7338 + 146789/20. Let r be -17 + (-3 + 4 - 0). Find the common denominator of ((172/r)/1)/1 and d.
20
Let t = 882010 + -501973. Let y be 3/5 + t/141930. Let m = y - -2/14193. Find the common denominator of 41/2 and m.
18
Let c be -55*(-3)/(-30)*-2. Find the common denominator of (1 - 8)*c/32 and -39/20.
160
Let t = 10 + -6. Suppose -o + 2*z = t - 26, 0 = 3*o - 4*z - 68. Suppose -o = -4*u - 0*v - 2*v, -v = -5*u + 37. What is the smallest common multiple of 3 and u?
21
Suppose 2*g + 5 = -3. Let n = 5968/945 + -234/35. Find the common denominator of n and ((-1)/25)/(g/10).
270
Let x(m) = -m**3 + 23*m**2 - 16*m + 4 + 2*m**2 - 8*m**2. Suppose -2 + 106 = 4*g. What is the common denominator of g and x(16)?
1
Let o = 190 - 182. What is the least common multiple of 20 and o?
40
Suppose 4*f + f + 60 = 0. Find the common denominator of 3/f + (-458)/56 and 23.
7
Let g be 1/((2 - 4)/102). Let l = g - -89. Calculate the lowest common multiple of 22 and l.
418
Let z = -8233 - -98881/12. Let y be 15/(-10) + 2745/1974. Let h = y + -12111/6580. What is the common denominator of h and z?
60
Let q = 3116 + -81051/26. What is the common denominator of (-3)/(-18)*(-170)/(-2) and q?
78
Let y = 72 + -78. Calculate the common denominator of 10 and (-4)/4*-4*1/y.
3
Let n = 2054 + -1823. What is the lowest common multiple of n and 231?
231
Suppose 4*d = -k + 101, 5*d - 3*k - 80 = 25. What is the lowest common multiple of d and 30?
120
Let k = 24377 + -2705915/111. Calculate the common denominator of -59/6 and k.
222
Suppose 16*c + 5 = 17*c. Suppose 4*v - 10 = c*u - 109, 4*v + 101 = 3*u. Let g = v + 56. Calculate the least common multiple of g and 12.
60
Find the common denominator of 16/40 + 341/(-765) and 131/12.
612
Let y be (-40846)/(-8280) + 6 + (-8 - 0). Let c = 53/115 - y. Calculate the common denominator of 21/32 and c.
288
Let q = -74519/126 + -5/63. Let v = -20147/34 - q. Calculate the common denominator of v and -43/3.
51
Let w(j) = -j - 4. Let o be w(-5). Let m be 4*(2 + (-1)/o). Suppose -8 = -m*v + 28. Calculate the smallest common multiple of v and 3.
9
Let n = 6/875 - -74339/5250. Let k = 1227/110 - 115/11. Find the common denominator of k and n.
30
Suppose -5*d + 9 = 4*z - 7, 5*z + 9 = d. Suppose -2*b + d = -32. Calculate the least common multiple of 8 and b.
72
Let g = 32 - 34. Suppose -5*n + 47 = 5*v - 4*v, -5*n = 5*v - 335. What is the common denominator of (188/v + -3)*g and 19/5?
45
Let a(z) = -z + 62. What is 