1/30.
690
Let s = 18 + -32. Let l be (-164)/s - (-12)/42. Calculate the common denominator of -29/16 and (l/(-8))/((-18)/(-34)).
48
Let k = 4 + -3. Suppose -k - 5 = -2*x. Calculate the smallest common multiple of x and 3.
3
Find the common denominator of (-2)/(-12)*94/3 and 40/12*42/8.
18
Calculate the common denominator of 2/(-40)*(9 + -175) and 4/(-12) - (-26)/9.
90
Let u be (10725/36 - 1) + 0. Let q = 1095/4 - u. Calculate the common denominator of q and 67/6.
6
Let f = -247099/22 - -11228. Suppose -5*g - 33 = 4*i, 2*i - 26 = 5*i + 4*g. Calculate the common denominator of (i/(-40))/(24/(-2130)) and f.
176
Suppose -12 + 30 = -2*c. Let g be (21/c + 1)*-18. Let r = g - 8. Calculate the lowest common multiple of 14 and r.
112
What is the least common multiple of 264/15 + (-5)/((-50)/4) and 6?
18
What is the smallest common multiple of 4 and 7 + -1 - ((-8)/4 - -2)?
12
Let l(n) be the third derivative of 1/3*n**3 + 0*n + 0 - 1/15*n**5 - n**2 - 1/60*n**6 + 1/12*n**4. Calculate the lowest common multiple of 18 and l(-3).
126
Let q(u) = 5*u**2 + u - 6. Calculate the least common multiple of q(3) and 12.
84
Let n be 1514294/(-61140) - (-2)/(-5). Let f = -1/1019 - n. Let w = -703 + 4933/7. What is the common denominator of w and f?
42
Suppose -1 = -q + 2. Let z = 7 - q. Suppose -2*m - 6 + 20 = 0. Calculate the least common multiple of z and m.
28
Let r = -60 - -90. Let q be (-1)/(-5) - 25199/9495. Let h = q - -2/211. What is the common denominator of h and r?
9
Let x = 1589 - 12651/8. Find the common denominator of (-2 + 4)*73/18 and x.
72
Let r be 2/2 + (-988251)/(-54). Let f = r - 18308. Find the common denominator of -31/12 and f.
36
Suppose 7 = 5*m + 12. Find the common denominator of 87/10 and m/(-4) + (-75)/(-132).
110
Let l = -35 - -59. Calculate the lowest common multiple of l and 36.
72
Let y be 5*(-2)/6*-6. Suppose -2*o - y = -t, 0 = 2*t - 3*o - 4 - 14. Suppose 40 = -2*n + 7*n. What is the smallest common multiple of n and t?
24
Let r = 1013/16 - 117/2. Calculate the common denominator of -4 - 3/((-54)/381) and r.
48
Suppose 1 = -2*z + 3*r, 4*r - 9 = r. Calculate the least common multiple of 19 and z.
76
Suppose 8 = -4*a - 2*u - 2*u, 2*u = a - 4. Suppose a = 3*y + z + 8, -3*y = -0*y - 2*z + 2. Find the common denominator of y*1*(-10)/8 and 21/10.
10
Let v = 127 + -377/3. Let p be 942127/(-169576) + 8/44. Let s = -2/1927 + p. Calculate the common denominator of v and s.
24
Let f(i) = -i - 1. Let w(n) = 2*n**2 - 15*n - 49. What is the smallest common multiple of f(-3) and w(10)?
2
Suppose 142 = q - 556. Let g be q/(-2270) + (-2)/(-5). Let i = g + -14015/1816. What is the common denominator of -49/11 and i?
88
Let g(y) = y - 3. Let l be g(3). Suppose l = 5*x + q - 0*q + 245, 2*q + 106 = -2*x. What is the common denominator of (-219)/x*1/(-1) and 113/12?
48
Suppose b + 2*b = v - 4, 2*b = -2*v. What is the common denominator of -9/4 and (-73)/((-24)/(-2 - v))?
8
Suppose 2*l + 2*l = 44. Calculate the least common multiple of 11 and l.
11
Let m = -3772/900579 - 7554037419/2321992855. Let x = -1/3315 - m. Let d = -6/7 + x. What is the common denominator of d and -32/5?
5
Let y be -1 - (2 + 2*-3). Suppose -y - 8 = -o. Calculate the lowest common multiple of 7 and o.
77
Let p(y) = -4*y - 1. Let r(o) = 2*o - 4. Let h(f) = -3*f + 5. Let t(b) = -3*h(b) - 4*r(b). What is the smallest common multiple of t(1) and p(-2)?
14
Let l(c) = -c**2 + 5*c + 1. Let r be l(4). Suppose -5 = -3*u - 11, -r*i + 38 = u. Calculate the lowest common multiple of i and 22.
88
Let g(d) = -d + 6. What is the lowest common multiple of 1 and g(0)?
6
Let r(g) = g + 8. Suppose 5*f + 8 - 58 = 0. Calculate the lowest common multiple of r(-2) and f.
30
Suppose -18*o - 24 = -20*o. Calculate the smallest common multiple of 9 and o.
36
Find the common denominator of -57/20 and 302/(-24)*(-15)/((-135)/6).
180
Suppose -2*o = -3*h + 8, -5*o + 31 = h - 0*o. Let y = 8 - h. Calculate the lowest common multiple of y and 7.
14
Let w = 28877/6 - 4825. Let b = -1019/100 + -39/25. Calculate the common denominator of w and b.
12
Suppose 3*z = 130 - 4. Let a(v) = -v**3 - 10*v**2 + 8*v - 15. What is the smallest common multiple of a(-11) and z?
126
Suppose 0*i = 2*i - 10. Suppose -5*z - i*r = -35, -17 = -5*z - 0*z + r. Calculate the smallest common multiple of z and 3.
12
Suppose j = 5*d + 2, d + 4*d + 8 = -j. Let p be (2174/j)/(-2) + -1. Let v = -1493/4 + p. Find the common denominator of v and 111/20.
60
Suppose 105 = -48*x + 51*x. What is the smallest common multiple of x and 6?
210
Calculate the common denominator of (-7)/(1050/(-804))*(-15)/12 and -1*1/(11/19).
110
Let i(l) = -l - l + 1 - 4*l**2 + l**3 + 6*l**2. Let z be i(1). Find the common denominator of -41/8 and (-82)/88 - z/(-11).
8
Let i = 12 - 12. Find the common denominator of -67/22 and i/3 - 93/4.
44
Let m = -46 + 58. What is the least common multiple of m and 4?
12
Let j = -2063/2 + 984. What is the common denominator of j and 55/14?
14
What is the common denominator of -53/8 and (2/6)/((-2)/(-147))?
8
What is the common denominator of 114/8 + 1 + -1 and 47/14?
28
Suppose 3*n = o - 5, 5*n - o + 12 = -3*o. What is the common denominator of 25/2 and ((-20)/(-54))/(n/3)?
18
Let t = 10909/18 - 604. What is the common denominator of t and 106/36 - (-1)/(-3)?
18
Suppose 4*c = -3*n - 26418, 3*n + 14339 = 4*c - 12055. Let k be (-2)/(-8) + n/(-176). Let i = -612/11 + k. Find the common denominator of -12 and i.
8
Let j = 61 + -41. Let z(c) = 2*c**2 - 10*c + 8. Calculate the lowest common multiple of j and z(6).
20
Let k = 161377/31878 + -12/1771. Let i = 481/2 + -247. What is the common denominator of k and i?
18
Suppose -u = -4*y + y + 356, -460 = -4*y + 5*u. Calculate the common denominator of ((-5)/(-9))/(16/y) and (-1 + -2)/(10/(-17)).
30
Suppose -4*j = -4*a + 32, 0 = 3*a - 0*j - 5*j - 20. Suppose 0 = 5*q - 8 - 7. Calculate the least common multiple of (2/4)/(1/a) and q.
15
Let w(l) = l**2 + 3*l + 3. Calculate the lowest common multiple of w(-4) and 14.
14
Suppose -w = -0*w - 9. Suppose -6 = 5*l - 26. Calculate the smallest common multiple of l and w.
36
Suppose -9*a + 182 + 16 = 0. Suppose 0 = 5*k - 5 + 10. Calculate the smallest common multiple of a and k - (-2 + (0 - 1)).
22
Let q = -70/311 + -19857/4354. What is the common denominator of q and 133/18?
126
Find the common denominator of ((-30)/448)/(2/(-8)) and -83/8.
56
Let x(s) = 2*s**3 + 14*s**2 - 27*s - 4. Let v(y) = y**3 + 7*y**2 - 13*y - 2. Let q(r) = -13*v(r) + 6*x(r). Calculate the lowest common multiple of 11 and q(-8).
110
Let l(t) = 2*t**2 - t - 3. Let h be l(3). Let k = h + -10. Calculate the smallest common multiple of k and 1.
2
Let o = -10 + 18. Let z = -2 + o. What is the smallest common multiple of 16 and z?
48
Let g = 7 - -5. Let w(v) = 2*v**2 - 40*v + 6. Calculate the lowest common multiple of w(20) and g.
12
Let h(n) be the third derivative of 7*n**4/24 - n**3/3 + n**2. Calculate the smallest common multiple of h(2) and 2.
12
Let h be 37/(3/(-1 - 2)). Let u = -21 - h. Calculate the smallest common multiple of u and 203/49 - 2/14.
16
Let d be 2/3 + (-1)/(-3). Find the common denominator of -151/12 and (-3)/(d - 111/81).
60
Suppose 0 = 4*g - 3*v - 49, v - 8 = -2*g - 3*v. What is the least common multiple of g and 26?
130
Let y = -2 - -13. Suppose -32 = -5*f - b, 2*f + f + b - 18 = 0. What is the least common multiple of y and f?
77
Let v = 36 - 22. Suppose -8 + 38 = 5*n. Calculate the smallest common multiple of v and n.
42
Find the common denominator of (-867)/(-126) - 16/(-56) and -1/8.
24
Suppose 0 = -5*z - 25, -5*d - 3*z - 6 - 9 = 0. Suppose d = 2*o - 0 + 12. Calculate the smallest common multiple of (4/(-3))/(1/o) and 12.
24
Let k(g) = -g**3 + 9 - 6*g**2 - g**2 - 2*g + 3*g. What is the smallest common multiple of 8 and k(-7)?
8
Let b(a) = -a**2 - 5*a - 1. Let r be b(-3). Suppose -r*v + 13 = q + 3*q, -5*v + 2*q + 31 = 0. Let t = -19 + 22. What is the least common multiple of v and t?
15
What is the smallest common multiple of 3/(-9) - (-172)/3 and 27?
513
Let c = -8 - -11. Calculate the least common multiple of ((-21)/9)/(2/(-6)) and c.
21
Let r = -184 - -307. Find the common denominator of -51/10 and (r/(-40))/(21/(-14)).
20
Let f = -82 - -22. Find the common d