6 = 2*b - 3*x + 12, 3*x - 42 = 4*b. Let v = 28 - 20. What is the least common multiple of v and 4/2 + 3/(b/(-8))?
8
Let r = 304 - 294. Suppose 2*k = -w + r, -6 = w - 15*k + 13*k. Suppose 2*h - 29 + 1 = 0. What is the least common multiple of w and h?
14
Suppose 0 = 5*y - y - 64. Let a = 183 + -560/3. Calculate the common denominator of a and (2/(y/268))/(-15).
30
Let q(a) = -a**3 + 7*a**2 - 5*a - 4. Let y be q(6). Suppose y*m = -3*m + 85. Let i(j) = -10*j + 235. What is the lowest common multiple of i(23) and m?
85
Suppose 4728 = -2*p - 2*o, -3*p - 5*o = -o + 7093. What is the common denominator of 109/14 and 5 - (p/12)/(-17)?
84
Let q = 10547 - 189913/18. Find the common denominator of 29/10682 and q.
96138
Let u = -252991/4 - -1036504261/16388. Calculate the common denominator of 13/16 and u.
65552
Let c(h) = -5*h - 7. Suppose 2 = 2*p + 6. Calculate the lowest common multiple of c(-2) and (p - (-6)/3) + 12/3.
12
Suppose 3*a + k + 2 = 3*k, -3*k + 3 = 3*a. Let s(y) = y**2 + 2*y + 44. Let o = -4/145 - 5229/4930. What is the common denominator of s(a) and o?
34
Suppose -8*o - 28 = -44. Let k(h) = 2*h - 7 + 2*h - h. What is the least common multiple of o and k(5)?
8
Find the common denominator of (7384/(-2406474))/((-2)/7) and 2/2421.
2421
Let y be (-9)/(-4) - (-72)/(-288). Find the common denominator of 4896/896*y/6 and 17/44.
308
Let m = -33 - -131/2. Find the common denominator of m and -4/63.
126
Suppose 13*w - 32*w + 10*w = -54. Let g(m) = -m - 3. Let k be g(-3). Calculate the smallest common multiple of w and 21 - (1 + k) - -2.
66
Suppose 820*y = 828*y - 73008. Let c = y + -164123/18. Find the common denominator of c and -26/87.
522
Let r be 1/((-26)/(-6) - 4). Suppose 2*b = r*i + 69, 0 = -b + 2*i - 3*i + 27. Let y(g) = 2*g - 8. What is the least common multiple of b and y(7)?
30
Let j(v) = 6029*v - 14. Let p be j(-2). Let o = -144733/12 - p. Calculate the common denominator of -11/27 and o.
108
Let m be (4/3)/2*15. Let t(i) = 2*i**3 + 60*i**2 + 159*i + 9. Let r be t(-3). Suppose -m*n - 384 = -r*n. What is the smallest common multiple of n and 33?
528
Let n = 2920/11 - 2479/11. Let d = n + -7531/198. Calculate the common denominator of d and (3630/(-9900))/(2/34).
90
Let h be (-2)/(((-6)/(-195))/((-1)/(-5))). Let a = 19 + h. Calculate the least common multiple of a and -1 - 1 - 12/(-2).
12
What is the common denominator of -149/270 and (-5616)/(-15015) + 2/(-21)?
2970
Let b be 4/34 - (-119756)/(-1001742). Let q = -173017/235704 - b. Find the common denominator of q and -31/40.
280
Suppose 6984 - 1048 = 53*o. What is the smallest common multiple of o and 56?
112
Find the common denominator of 125/78 and (-7*(-18)/174720)/((-4)/55).
9984
Let l(d) = d - 3. Let b be l(3). Suppose t - 19 = -b*z + 3*z, t = -2*z - 1. Let s(x) = 61*x + 1528. Calculate the smallest common multiple of t and s(-25).
21
Let u(l) = -l**2 + l + 6. Let h be 17/(-85)*10/(-2). Calculate the smallest common multiple of u(0) and (17/(-2) + h)*16/(-12).
30
Let s(w) be the second derivative of -25*w**3/3 + 14*w**2 + w - 4. Calculate the least common multiple of s(-6) and 8.
328
Let a = 84481937/16 + -5278075. Let x = a - 2048. Let t = -20 + 138/7. What is the common denominator of t and x?
112
Let r = 18912 - 18896. Calculate the least common multiple of r and 396.
1584
Let g = -130/9 - -334/9. Let c = -79/18 + -3/2. Calculate the common denominator of g and c.
9
Let o = 4038 - 24337/6. Let g = 3789 + -2257. Let q = 9263/6 - g. Calculate the common denominator of q and o.
6
Let k = -22/3427 - 13876/3176829. What is the common denominator of k and 58/123?
38007
Suppose -157 + 160 = b. Suppose 5*z - 613 = -b*s, -4*z + 485 = -s - 2*s. Calculate the least common multiple of z and 8.
488
Let a(u) = -32*u - 132 + 33*u + 21*u. Let s = -27 - -49. Calculate the lowest common multiple of s and a(7).
22
Let i = -280 - -283. Calculate the lowest common multiple of 92 and ((-1)/i)/((-6)/108).
276
Find the common denominator of (0/(-2) + 53)/(77 - -24 - 117) and 0 - (-1 + 91/22).
176
Let v be (21 - 16)*(0 + 2). Find the common denominator of (v/(-25))/(100/105) and (-2)/(-12) - (-565)/450.
450
Let w(t) = t**3 - t - 1. Let o(q) = 5*q**3 - 11*q**2 + 7*q - 149. Let p(y) = -o(y) + 4*w(y). What is the smallest common multiple of 120 and p(10)?
1080
Suppose 110*p - 57*p = 64*p - 5808. Calculate the least common multiple of 8 and p.
528
Let f be 4/12*(766 - 4). Let b be 10/(-35) + (-24)/14. What is the common denominator of (f/12)/(b - 0) and 87/2?
12
Let v = 238/5 - 283/6. Calculate the common denominator of v and 59/155.
930
Suppose 4*g + g = 0. Suppose -3*q = 5*x - 74, 0 = 5*x + 2*q - 68 - 8. Suppose g = -5*l + l + x. Calculate the smallest common multiple of 44 and l.
44
Suppose -1 = l + 2. Let n(z) = z**2 - z + 4. Calculate the lowest common multiple of n(5) and (-2)/(-4) + (-87)/(-6) + l.
24
Suppose 0 = -k - 1, 4*k - 1197 = -5*p + k. What is the lowest common multiple of p and 36?
720
Let x = 4042 + -3955. Calculate the lowest common multiple of x and 165.
4785
Suppose 5*h = -3*k + 80, -h = h - 5*k - 63. What is the lowest common multiple of h and 83?
1577
Suppose 0 = -4*v + 4, 0 = 2*k + 2*k - v - 287. Suppose -53*t = -50*t - k. What is the least common multiple of t and 20?
120
Calculate the common denominator of -41/264 and (-6)/(-54)*(0 - -37).
792
Suppose 36 = -z - 813. Find the common denominator of z/180 + 4/30 and -19/4.
12
Suppose -2*d + 3841 = -3685. Suppose 2*g + h + 1547 = -d, -g - 2655 = 3*h. What is the common denominator of ((g/(-6))/(-5))/(-1 + 43) and 11?
28
Let x be (-12)/(-3)*(3 - 2). Suppose 9*d = x*d - 5*j + 75, -3*d + 35 = j. What is the least common multiple of 6 and d?
30
Let q(b) = -2*b**3 + b**2 + 4. Let m be q(-3). Let s = -29 + m. Let i = 54 - s. Calculate the lowest common multiple of 7 and i.
112
Let k(y) = 6*y**2 + 5*y - 1. Let d be k(-4). Suppose -54*s = 443 - 3737. Let g = d - s. What is the least common multiple of 22 and g?
154
Let w = -205/4 - -5447/108. Let r be 0 + -4 + 295587/(-135). Let v = -2188 - r. Calculate the common denominator of w and v.
135
Calculate the common denominator of -58/33 and -4 + 39785/3975 + -12 + 6.
8745
Suppose -2*f + 143*q = 140*q - 797, -5 = -5*q. What is the smallest common multiple of f and 120?
1200
Let r = 99 - 27. Find the common denominator of 4/(-14) + 83/70 and ((42/15)/7)/(r/790).
90
Let f(m) = -10855*m**3 + m**2 + 2*m - 1. Let p be f(1). Let s be -4*(-3)/(-42) - p/(-2072). Let u = -24/37 - s. What is the common denominator of u and 6/5?
40
Suppose 0 = 2*w + 6, k + 69 = 3*k + w. Calculate the lowest common multiple of k and 222.
1332
Suppose 2*z - 6*z = 5*l - 494, l + z = 99. Let a be -3073 - (((-100)/(-5))/4 + -5). Calculate the common denominator of a/l + 2/(-14) and 9/14.
14
Let a = -6/4537 + 14357/36296. Let b = -2273629591/885587472 - 1/718821. Let u = b + 10/77. Calculate the common denominator of u and a.
208
Suppose -5*l + 8*l = 93. Let m = l - 23. Find the common denominator of 63/8 and ((-28)/m + 3)*104/14.
56
Suppose 37 - 338 = -36*w + 59. Calculate the lowest common multiple of w and ((-74)/(-5))/(2/10).
370
Let f = 25175/4 - 6353. Let i = 59 + f. Find the common denominator of i and (10/(-75))/((-8)/237).
20
Let o(w) = -w**2 - 10*w - 15. Let a be o(-3). Suppose 5*i = a*i - 30. Suppose 7*r = 10*r - i. Calculate the lowest common multiple of 24 and r.
120
Let l = -2290 - -840428/367. Calculate the common denominator of l and -77/4.
1468
Let u(x) = 9*x - 76. Let m be u(8). Let r(v) = -9*v - 30. What is the least common multiple of 262 and r(m)?
786
Calculate the lowest common multiple of 22 - (-1 + 8 + 5) and 470.
470
Suppose 4*b + 3*u - 48 = 0, u = 4*b - 6 - 42. Let v = 5527/99 + -696/11. What is the common denominator of 4/40 - 0 - 3/b and v?
180
Let m = 70561/28056 - -226/1169. Calculate the common denominator of ((-1)/72)/((-40)/(-15)) and m.
192
Let h = -866/387 - -1711717/755424. Calculate the common denominator of h and -57/854.
13664
Suppose 31*u = 35*u + f - 282, 0 = -3*u - 2*f + 214. Calculate the lowest common multiple of 55 and u.
770
Let m(h) = 2*h**2 - 647*h - 3953. Let n = 77 + 9. Calculate the smallest common multiple of m(-6) and n.
86
Let l = -21567/13940 - 2/697. Calculate the common de