e 0 = -4*d + 2 + 54. Calculate the lowest common multiple of d and 7 + (0/(-1) - g).
28
Suppose -5*g = -4*g + 4*u + 21, -3*g + 7 = -2*u. Let b be 1/(g/(-9)) - -3. What is the common denominator of (-15)/b*(-69)/(-15) and -1/20?
20
Let y be (-2)/(4/(4/(-1))). Let m(o) = -2*o**2 + o + 2. Let z be m(y). What is the common denominator of -11/4 and (-21)/(-28) - 199/z?
4
Let v(o) be the second derivative of o**3/6 + 2*o**2 - 10*o. Calculate the smallest common multiple of 8 and v(0).
8
Let h be ((-81)/9)/((-2)/(12/(-9))). What is the smallest common multiple of 15 and h/(3*5/(-30))?
60
Let q = -773 + -237. Calculate the common denominator of ((-38)/(-95))/(32/q) and 19/5.
40
Suppose p - 7 = -6. Suppose 5 = -2*f + 41. What is the least common multiple of 2/(-2) + p + 2 and f?
18
Let w be (-2)/(-1*(-6)/(-45)). Suppose -l - w = -1. Calculate the common denominator of 97/2 and (66/32*l)/(-3).
8
Suppose -23 = -x + 159. Suppose -2*v + 5 = -23. What is the smallest common multiple of (-1)/3 + x/42 and v?
28
Let b be 1/29*(-14)/(-8). Let z = 455/29 + b. Calculate the common denominator of -12/7 and z.
28
Let m = -28 - -56. What is the least common multiple of -10*(6 + 5 + (-62)/5) and m?
28
Suppose 2 = 4*f - 2. What is the common denominator of (f/(15/207))/(-2) and 3/(((-20)/68)/1*-1)?
10
Let w(f) = f**2 - 18*f + 23. Let n be w(16). Let s be 30/n*192/(-10). Let k = s - 255/4. Calculate the common denominator of 39/11 and k.
44
Let c = 7393/4 + -1861. What is the common denominator of c and 34/33?
132
Let x(h) = h**2 + 8*h + 2. Let k(r) = r**3 - 5*r**2 + 6*r. Let g be k(4). Suppose 3*w = 5*w - g. Calculate the lowest common multiple of x(-10) and w.
44
Suppose 2*z = -4*t - 4, 5*z - 17 = 2*t + 21. Let o be (-63766)/252 - (z + -4). Let p = 2368/9 + o. What is the common denominator of p and -93/8?
56
Suppose 4*g = -2*p + 784, g - 196 = 2*p + 2*p. What is the smallest common multiple of g and 168?
1176
Let q = 59/40 - -3/20. Let w = -11139/11 - -1013. Find the common denominator of w and q.
88
Let r(d) = -d**2 - 3*d + 14. Let t be r(-10). Find the common denominator of 5/76 and ((-93)/5)/(t/20).
532
Let u = 533443/352032 + -18/3667. Find the common denominator of u and 39/160.
480
What is the common denominator of 54/24 - 3 - (-123)/100 and -71/80?
400
Let r(w) = 26*w - 5*w + 2*w**2 - 8 - 13*w - 9*w. Calculate the smallest common multiple of 8 and r(-4).
56
Let q = -3 - -4. What is the smallest common multiple of (1 - -3)*125/100 and q?
5
Let k = 6/217 + -8921/868. Find the common denominator of k and 425/(-1581) + (-4)/62 + 386/(-120).
20
Let s(i) = -2*i + 2. Let r be s(-2). Find the common denominator of 10/(-12) - (-4)/r and (-24)/132 - 42/44.
66
Let i = 37 - 22. Let c be ((-10)/i)/(4/102). Let x = c + 21. What is the lowest common multiple of 46 and x?
92
Let v(s) = -1125*s - 9. Let u be v(7). Let x = -205037/26 - u. Find the common denominator of 41/2*5/(-25) and x.
130
Let n(p) = -p**2 - 9*p - 3. Let w be n(-9). What is the common denominator of (0 + w)*2/(48/(-74)) and -1/20?
20
Let p = 5089669 - 50815421/10. Let l = 8137 - p. Calculate the common denominator of l and 53/13.
130
Let i = 15 - -3. Let a = -16 + 34. What is the lowest common multiple of a and i?
18
What is the common denominator of (-2445)/(-150) - 40/4 and -67/964?
4820
Let o(g) = 3*g - 49 + 3*g + 41. What is the smallest common multiple of o(5) and 16?
176
Let b be 0 + (-1257175)/(-70) - 3. Let z = b - 17949. What is the common denominator of 13/9 and z?
126
Let i(l) = -2*l**3 + 1. Let u be i(2). Let j be (-2)/u + (-64)/30. What is the common denominator of -65/8 and (1 - 125/6) + j?
24
Suppose 38 = -4*k - 6. Let t = -7 - k. Suppose -a - 17 = -2*m, 3 = -t*m + 2*m - 3*a. Calculate the lowest common multiple of m and 9.
18
Let m = 952 + -6723/7. Suppose 2*a - 4*v + 110 = 0, v - 232 = 5*a + 7. What is the common denominator of m and a?
7
Let w = 18414967 - 294478051/16. Let d = w - 10092. Let k = 996703/34 + -29317. Find the common denominator of k and d.
272
Let g = -40 + 56. Suppose 5*w - 132 = -3*x + 419, 5*x - 545 = -5*w. Suppose -9*j + j = -w. What is the least common multiple of j and g?
112
Let a(f) = -f**2 + 15*f + 17. Let h be a(16). Let y(j) = 3*j + 3 + 1 - 30*j + h. Calculate the common denominator of 37/3 and y(2).
3
Let p(m) = 2*m**2 + 9*m - 30. What is the lowest common multiple of p(-9) and 4?
204
Suppose 195 = -27*j + 32*j. What is the least common multiple of 117 and j?
117
What is the common denominator of (-20)/(-60)*(-214)/(-8) and 2 - 1*129/72?
24
Let t be (-2 - 58/(-40))/((-27516)/(-117564)). Let i = t + -1/11465. What is the common denominator of -53/12 and i?
60
Suppose 0 = -3*u - 2*l + 27, 3*l - 4*l = 0. Suppose 100 + 43 = 13*r. Calculate the lowest common multiple of r and u.
99
Suppose 102*q - 101*q - 6 = 0. Calculate the smallest common multiple of q and 4.
12
Let a = -71 - -131. Let b = 72 - a. What is the lowest common multiple of b and 14?
84
Let w = 2395/18 - 129. What is the common denominator of w and 40/(-26) + (-1)/2?
234
Let l = 2742 + -16393/6. Let w = -22 + 37. Calculate the common denominator of (-6)/w + 3576/(-160) and l.
12
Calculate the common denominator of 0/2 - 132/864 and -13/24.
72
Suppose 28*k - 26*k = 28. What is the smallest common multiple of 2 and k?
14
Let v = -1/82 - -1807/246. Let w = 770/3 - 3041/12. What is the common denominator of w and v?
12
Let j(l) = 5*l**2 - 8*l - 16. Let z be j(-4). What is the common denominator of -4 + 465/z + (-2)/4 and -23?
32
What is the common denominator of 442/80 + 24/(-18)*3 and 91/88?
440
Let j(t) = 5*t**2 + 19*t + 7. Let a be j(-6). Calculate the common denominator of 7/5 and a/7 - (-1 - -3).
35
Let x(v) = v**3 - v**2 + v - 9. Suppose h = 6*h + 5*y - 25, -h + 11 = 4*y. What is the smallest common multiple of x(h) and 12?
12
Let r = 14/28475 - 117003859/170850. Let p = -676 - r. What is the common denominator of p and -73/6?
6
Let w(d) = -6*d**3 + 14*d**3 - 5*d**3 - 4*d**3 + 2. What is the least common multiple of 11 and w(0)?
22
Calculate the common denominator of -116 - -112 - (-26)/(-24) and 85/96.
96
Let b(h) = -473*h - 4. Let v be b(13). Let k be 1 - 98409/16 - 1. Let i = k - v. Find the common denominator of i and 43/2.
16
Let t = -22614/9955 - 1/905. Find the common denominator of t and 59/232.
2552
Find the common denominator of -91/48 and 2/4 - 357/288.
96
Suppose l = -2*a + 58, 5*l - 316 = 4*a - a. Calculate the lowest common multiple of l and 6*(-54)/(-16) - 10/40.
620
Suppose 74 = 42*r - 94. What is the smallest common multiple of 314 and r?
628
Let t be (2/(-4))/((-168)/8300478). Let o = -24702 + t. What is the common denominator of o and -99/10?
280
Let g = 17079/26 + -163258213/248534. Let z = g + 726538/258093. Calculate the common denominator of -143/24 and z.
216
Let f = 12595/7 + -1804. What is the common denominator of 23/296 and f?
2072
Let h(s) = -s**2 + 6*s + 66. Let m be h(-6). Find the common denominator of 25/(-43) - (9/3)/m and -29/14.
602
Suppose 2*x - 4*i + 56 = -2*x, 5*x + 86 = i. Let m = -14 - x. Suppose -7 = n - m*c, 3*n - 5*c = -n + 5. What is the lowest common multiple of n and 8?
40
Suppose 6*l - 66 = 7*l. Let p = -38 - l. Let q = -1222 + 1230. Calculate the least common multiple of p and q.
56
Suppose -9*p + 7*p = -22. Suppose -4*f + p + 9 = 0. Suppose -3*j = -27 - 0. Calculate the lowest common multiple of f and j.
45
Suppose 0 = -m - 3*j + 24, 2*m - j + 6 = 61. Let a = 44 + -38. Calculate the smallest common multiple of a and m.
54
What is the least common multiple of 18 and ((-97)/(-5) - -1)*115/46?
306
Let a = 3/20 + 48/5. Let l(i) = -i**3 - 8*i**2 + 6. Let p be l(-8). Find the common denominator of 1085/150 + p/(-15) and a.
12
Suppose 4*x - 5*x = -48. Let b = 2/1951 - 42936/13657. Calculate the common denominator of b and (1 - 2) + x/11.
77
Let y(d) be the first derivative of 5*d**2/2 - 22*d + 8. Calculate the least common multiple of 12 and y(8).
36
Let j = 1373/20 + -293/4. Let b = -1181 + 8240/7. Find the common denominator of j and b.
35
Calculate the common denominator of -38/5 and 310/(-268) - 29/(-58).
335
Suppose 5*f + 0*f = -35385. Let d = -113131/16 - f. Calculate the common denominator of d and 47/24.
48
Let f = 14 - 14. Suppose -2*o - o - n +