common denominator of 43/8 and -6*(-517)/132 + (-6 - 1).
8
Find the common denominator of -109/28 and 2/(-14) - ((-540)/(-175) + -5).
140
Suppose -36*y = -195 - 21. Calculate the lowest common multiple of 408 and y.
408
Let b = 299 - 2989/10. Suppose -4*r = -u + 8179, r + 4*u - 76 + 2142 = 0. Let c = -14347/7 - r. What is the common denominator of c and b?
70
Let s(z) = 5*z**2 + 24*z + 3. Let v be s(-6). Find the common denominator of 4/(1296/v)*-51 - -3 and -79/8.
72
Let x be (4 - -30) + -1 + -1. Suppose -5*t + x = -83. Let v = t + -18. Calculate the least common multiple of v and 5.
5
Let v be (125/100)/((-2)/8). What is the least common multiple of (-1)/(4 - 27/6) and (v/(-15))/((-1)/(-3))?
2
Let q = 1353 - 1345. What is the lowest common multiple of q and 4?
8
Suppose -4*d = -18 - 22. Suppose 2*s - s - b = 2, -5*s + d = 4*b. What is the smallest common multiple of 10 and s?
10
Suppose 5*v - 61 = -0*v + 3*t, 2*v = -3*t + 16. Suppose -6 = -5*m + 104. Calculate the least common multiple of m and v - -1 - 0/12.
132
What is the least common multiple of 111 and (-3)/2 + (-2)/(56/(-6258))?
222
Let n = 8 + -7. Let t be (n/2)/((-3)/(-78)). Let r = t - 10. What is the least common multiple of r and 6?
6
Let s(t) be the first derivative of -3*t**2/2 + t + 5. What is the least common multiple of 2/5 - 28/(-5) and s(-5)?
48
Suppose 3*g + 0*g - 5*c = 22, -g = -c - 6. Suppose -3*o = -2*q + 2*o - 17, 0 = 2*q - 2*o + 2. What is the lowest common multiple of q and g?
4
Find the common denominator of ((-2)/(-21))/(3 - (-1854)/(-602)) and ((-1)/12)/((-4)/1208).
36
Suppose -32 = -4*y + 4. Let o = 6569 - 6561. What is the smallest common multiple of (24/y)/(2/21) and o?
56
Let g(y) = y**3 + 8*y**2 + 2*y + 3. Suppose -x - 20 = 5*j + x, -3*x = 0. What is the least common multiple of g(j) and 3?
177
Let z = 337 - 301. What is the least common multiple of z and 54?
108
Let w = -51/83 + -2180/3071. Calculate the common denominator of 23/4 and w.
148
Let g be (-108)/48*4*1. Let f = g + 13. Let r(b) = b**2 - 2*b. Calculate the lowest common multiple of r(3) and f.
12
Let p = -19 + 37. Let d be (-122)/p + (-30)/135. What is the smallest common multiple of 6 and (d/(21/(-12)))/2?
6
Let h = 18 - 16. Suppose h*m + 6166 = -20034. Let n = m + 209665/16. What is the common denominator of n and -67/4?
16
Let i be (-558)/(-4)*12/6. Let g = -1131/4 + i. What is the common denominator of g and ((-2)/(-24))/((-16)/1120)?
12
Calculate the common denominator of -59/8 and (-439)/792 + 20/180.
88
Let b = 27560521/242 - 113886. What is the common denominator of b and 85/88?
968
Let v = -6 - -16. Let y(f) = f - 8. Let c be y(v). Suppose c*b - 42 + 10 = 0. Calculate the least common multiple of 6 and b.
48
Suppose 72 + 18 = -5*g. What is the common denominator of g/(-112) + (-36)/126 and 1/4?
8
Suppose -5*a - 8 - 12 = m, m = a + 10. Suppose 127 = m*t - 283. Calculate the smallest common multiple of 2 and t.
82
Find the common denominator of (-3)/2 - (-279)/66 and 100/(-14) - (-5 + 0).
77
Let s(b) = -b**2 + b - 9. Let x(o) = 1. Let q(t) = -s(t) - 5*x(t). What is the smallest common multiple of 8 and q(5)?
24
Calculate the least common multiple of 57 and 6/(-1) + 10 + 3.
399
Find the common denominator of (-995918)/133632 + (-4)/(-18) - -7 and 29/8.
256
Suppose 39*j - 31876 = -6370. Calculate the lowest common multiple of 8 and j.
2616
Let k = 213 + -162. What is the smallest common multiple of k and 30?
510
Let h(i) = i**2 - 4*i - 1. Let c be h(5). Let a(s) = s**3 - 6*s**2 + 2*s + 2. Let p be a(c). What is the common denominator of 1635/2640 + 4/p and -77/18?
144
Suppose 0 = 5*c - 3*n - 44, c + 3*n = -c + 26. Let k = -24 + 13. Let r(p) = p + 13. What is the smallest common multiple of r(k) and c?
10
Calculate the common denominator of -43/68 and 90/75 + 15533/(-14140).
6868
Let t(v) = -10*v - 3. Let i be t(-2). Suppose -w - 3 = -i. Suppose 3*u + 5*a = 56, 3*a + 32 = 2*u + 5*a. Calculate the lowest common multiple of w and u.
84
Let l be (0 - 0) + 12 + -2 + 2. Suppose -3*y - 5*b + 3*b + l = 0, 3*b - 12 = -3*y. What is the least common multiple of 26 and y?
52
Let j = -2859 + 22907/8. Calculate the common denominator of j and 1 - -1 - (-75)/33.
88
Suppose 0 = -0*s - 4*s + 16. Suppose -g + 3*v = -8, -2*g + v = -27 - s. What is the smallest common multiple of 36/(-15)*10/(-3) and g?
136
Let m be (-7)/14 - 31/(-30). Let k = m + 569/30. What is the common denominator of (87/(-8))/((-5)/(-4)) and k?
10
Let c = 4067 + -4056. What is the smallest common multiple of c and 0 + -5*1*-1?
55
Let t = -15838 - -633631/40. What is the common denominator of -83/8 and t?
40
Suppose 4*v = -a + 70, a - 4*a + 84 = 5*v. What is the lowest common multiple of v and 20?
180
Let s(m) = -m**3 - 8*m**2 - m + 10. Let v(y) = y + 1. Suppose 10*b - 11*b + 9 = 0. What is the least common multiple of s(-8) and v(b)?
90
Let z = 14 - 8. Let x(b) = 7*b**2 - 18*b - 32. What is the lowest common multiple of x(4) and z?
24
Let k = -169/25 + -797/300. What is the common denominator of k and 143/36?
36
Suppose 0 = f + 3*h + 7, 0 = -f + 8*h - 4*h + 7. Let b = 1032 + -8237/8. Find the common denominator of f/2 - 235/(-10) and b.
8
Let g = -5825/6 + 966. Let m(k) = -77*k**2 + 4*k - 4. Let z be m(-6). Let p = 25138/9 + z. What is the common denominator of p and g?
18
Suppose -x - 3*x - 4*t - 2956 = 0, -4*x = 3*t + 2952. Let y = x - -2989/4. Calculate the common denominator of 50/3 and y.
12
Let f(a) = 4 + 2*a**3 - 3*a**2 - 2*a**3 + 0*a**3 - 5*a + 2*a**3. What is the smallest common multiple of f(3) and 3/(18/8)*3?
16
What is the lowest common multiple of 9 and 924/21 - (-1 + 6)?
117
Let g(l) = -1510*l - 21. Let z be g(-4). Let k = 36253/6 - z. Find the common denominator of k and 6/7.
42
What is the common denominator of 29/4 and 2/(-40)*(3954/216 + 1)?
144
Let i = -27 - -27. Suppose -20 = -2*j + 3*y - 6*y, i = 3*j - 3*y - 30. What is the least common multiple of j and 8?
40
Let h = -2980 - -5772. Suppose -4*t + 0*t - h = 4*k, -k + 1 = 0. Let l = t + 6979/10. Calculate the common denominator of l and -39/10.
10
Let o = -51 + 52. Let z(r) = 6*r**3 - r**2 - r + 2. What is the least common multiple of z(o) and 14?
42
Suppose -11*m = -8*m + 6. Let a(x) = -11*x - 2. Calculate the least common multiple of 7 and a(m).
140
Suppose 3*p = 8 + 22. Suppose 0 = -14*c + 70 + 28. Calculate the lowest common multiple of c and p.
70
Let f = 22/7 + -579/182. Calculate the common denominator of 149/54 and f.
702
Suppose 0 = -13*c + 45 + 20. Suppose 22 = 3*q - c. Calculate the lowest common multiple of 14 and q.
126
Calculate the lowest common multiple of ((-8)/(192/(-54)))/((-6)/(-760)) and 60.
1140
Let j = -54335/8 + 6803. Find the common denominator of j and 137/(-70) - (-2)/(-5).
56
Let k(n) be the first derivative of n**3/3 - 4*n**2 + 13*n - 7. Calculate the least common multiple of 28 and k(7).
84
Let u = -13 + 22. Let q be u/15 - (-44)/10. Suppose 2*g = -q*y + 30, -5*g - y + 21 = -2*y. What is the lowest common multiple of g and 1?
5
Let d be (-6)/(-21) - 999051/64890. Let n = d - -1086/103. Calculate the common denominator of n and 127/30.
30
Let w(h) = -h - 1. Let u(z) = 2*z + 10. Let n(o) = u(o) - 3*w(o). What is the least common multiple of 10 and n(13)?
390
Let m = -235 + 343. What is the smallest common multiple of m and 162?
324
Let q = 7986 + -718679/90. Calculate the common denominator of -39/4 and q.
180
Let l be (-6 + (-1 - -5))*107/4. Let g = -54 - l. Let i = -185/84 - -1/28. Calculate the common denominator of g and i.
6
Let n = -5 - -29. Suppose 3*q = 7*q - n. Let x = 23/392 + 23993/1960. Find the common denominator of q and x.
10
Suppose -b + 22 + 0 = 0. What is the lowest common multiple of 11 and b?
22
Suppose -8*y + 36 = -4*y - 2*u, -4*u = 0. Calculate the lowest common multiple of y and ((-8)/96)/((-18)/1896) + (-2)/(-9).
9
Calculate the common denominator of ((-139)/(-24))/(9/(-18)) and 47/15.
60
Let r = 20492857/340 + -60273. Calculate the common denominator of 95/12 and r.
1020
Let y = -83 - -93. What is the common denominator of -3*12/9 - 12/y and 79/14?
70
Suppose -3 = -s + 4*g, s + 5*g = -3*s + 33. Let q(t) = 4*t - 12. Let z be q(s). Find the common denominator of 127/18 and 2/8 + 9/z.
144
Suppose 0 = -4*v - 16, 4*s 