2*t = -t + 12. Suppose t*c + 5*w - 12 = c, 4*c + 5*w = 16. What is the least common multiple of c and 12?
12
Let u = 1677/305 - 6/61. What is the common denominator of 19/9 and u?
45
Let w = -5 + 6. Suppose 6 = m + w. Suppose -2*p - 2*u = -48, 2*u + 7 + m = p. What is the lowest common multiple of 22 and p?
220
Let t = 25 - 18. Suppose -12 = t*s - 10*s. Let h = 6 + -2. What is the least common multiple of h and s?
4
Let s = -58 - -24. Let w = -31727/9 - -3519. What is the common denominator of w and s?
9
Let k be (-130)/(-6) - (-5)/15. Let z = k + -4. Calculate the smallest common multiple of 2 and z.
18
Let u(k) = 2*k. Let v(s) = s**3 + 6*s**2 + 4*s + 6. Calculate the smallest common multiple of u(6) and v(-5).
132
Suppose -n + 50 = 2*n - 2*h, 4*n = 3*h + 68. Let y(d) = d**2 - 4*d - 4. Let a = 9 - 3. Calculate the smallest common multiple of n and y(a).
56
Let p = 8/507 - -50113/5070. Calculate the common denominator of p and (-1)/4 + 95/(-16).
80
Let h = 7 - 5. Suppose 50 = 3*v - v. Let w = v + -15. Calculate the least common multiple of w and h.
10
Let b = -67/13 - -1769/260. Suppose 2 = j, -j - j + 3 = d. What is the common denominator of b and (-130)/(-6)*d/2?
60
Suppose 10 = -g + 4. Let n = 1/744 - -12461/744. Find the common denominator of 10/g*312/128 and n.
16
Let l = 4176 + -33477/8. Find the common denominator of l and 14/11.
88
Suppose -5*h + 2*t + 56 = -3*h, -3*h + 2*t = -80. What is the smallest common multiple of 40 and h?
120
Let k = -13803852 - -23259483274/1685. Let p = k - -13/1348. Find the common denominator of p and (-2)/(((-48)/(-29))/3).
40
Let q = -74 - -124. Find the common denominator of (-3)/4 - (-78)/(-216) and (0 - -1)/(2/q).
9
Suppose -c + 10 = 4. What is the common denominator of 99/4 and 201/4*c/(-99)?
44
Let p = -131 - -488. What is the common denominator of p/30 + (-6)/2 and 67/16?
80
Let z = 292/23 - 2579/368. Find the common denominator of z and 3/16.
16
Let o be ((-191)/26 + 1)*4. Let j = -552001 - -43056953/78. Let x = o + j. Calculate the common denominator of x and -27/2.
6
Let x = 12101 - 169517/14. Find the common denominator of 57/(8/6*12) and x.
112
Let g be ((-9)/12)/(20/(-728)). Let y = g + -651/20. Find the common denominator of y and -131/18.
36
Let s be 0 + -457 - -2*1. Find the common denominator of (s/(-10))/(-1 + -2) and ((-28)/(-10))/((-48)/(-195)).
24
Find the common denominator of -85/8 and (190/12)/((-104)/39).
16
Let s be 3/1 + -2 + 14080. Let z = 309725/22 - s. What is the common denominator of z and 61/6?
66
Let z(k) = k**2 - k - 2. Let v be z(2). Suppose 4*p - 20 = -v*p. What is the smallest common multiple of 10 and p?
10
Suppose 2*p + 9 = -13. Calculate the smallest common multiple of 22 and 1 - p - 12/6.
110
Let s = 28 + -12. Let m = -11 + s. Suppose -6 = m*v - 21. What is the least common multiple of v and 9?
9
Suppose -8*a + 7*a = 2. Find the common denominator of 59/18 and (-33)/16 + -2 + a.
144
Let y(p) = -p**3 - 3*p**2 + p - 4. Let h be (-2 - -5)*4/(-3). Calculate the smallest common multiple of y(h) and 4.
8
Let t = 3 - 5. Suppose -3*n + 0*n = -27. Let r = t + n. Calculate the lowest common multiple of 10 and r.
70
Let p(o) = 15*o**2 + 2*o - 1. Let t be p(1). Let l = 24 - t. Suppose 0 = -4*w + 8*w - l. Calculate the smallest common multiple of w and 22.
22
Find the common denominator of (38/(-32))/((-2)/(-10)) and 131/12.
48
Let v(u) = 2*u**3 - 2*u**2 + 3*u. Calculate the lowest common multiple of v(2) and 10.
70
Let r = -3 - -8. Suppose -p + 1 = -n - 7, -r*p - 5*n = 10. Calculate the lowest common multiple of p and 3.
3
Suppose 0 = -3*j + q - 15 - 16, 3*j - 3*q + 21 = 0. Let l = 18 + j. What is the least common multiple of l and 7?
42
Let o = 5307431/317460 - -7864/1443. Let q = -262/11 + o. Let r = -130789/18 - -7270. Find the common denominator of q and r.
180
Let z = 364679/40164 - -12/3347. What is the common denominator of z and -65/12?
12
Suppose 0 = u - 1 - 6. Let j(r) = -r**2 + 6*r + 8. What is the smallest common multiple of j(u) and 10?
10
Let w(l) = 15*l - 45. Calculate the smallest common multiple of w(5) and 48.
240
Let d = -7 - -12. Let q(a) = -a**2 - 9*a - 7. Suppose 4*s = -37 + 5. What is the smallest common multiple of q(s) and d?
5
Suppose s + 15 = 6*s. Suppose s*y = 4*g + 46, 3*g - 25 = -3*y - 7. Suppose -6 = -j + 12. What is the smallest common multiple of j and y?
90
Suppose p + 245 = n + 2*n, -2*n + 170 = -2*p. Calculate the least common multiple of 18 and (n/25)/((-2)/(-5)).
72
Let m be 0 - 1 - 3*691. Let z be (-25119)/12 - (1 - -2). Let w = m - z. Find the common denominator of w and 61/5.
20
Calculate the smallest common multiple of 36 and (1/(3/(-66)))/(-2) + -3.
72
Let m(k) = k**3 - 6*k**2 + 6*k + 5. What is the lowest common multiple of m(5) and 4?
20
Suppose 9 - 3 = -2*s. What is the common denominator of s/36*(-9)/5 and 83/2?
20
What is the smallest common multiple of 36 and (-4 - (-25)/10)/(6/(-176))?
396
Calculate the smallest common multiple of 3 and ((-35)/(-10))/((-4)/(-72)).
63
Let s be (-2 + 0)*4/2. Find the common denominator of 103/6 and (-8 - -7)/(s/(-59)).
12
Suppose 4*d - 1 = 11. Calculate the common denominator of (-166)/24 + d/18 and 25/2.
4
Let m(v) = -v**2 - 6*v - 4. Let b be m(-4). Suppose -10 - 13 = -4*t - 5*z, 4*t = -b*z + 20. What is the smallest common multiple of 1 and t?
2
Let z = 26 - 12. What is the smallest common multiple of 2 and z?
14
Let v = 9 - 4. Let m(w) = -4*w - 6. Let t be m(-8). Let u = t + -16. Calculate the smallest common multiple of u and v.
10
Let w = -16856/1625625 + 2/2601. Let i = w - 19351/2500. Find the common denominator of 59/5 and i.
20
What is the common denominator of (1221/(-336) - -3)*-1 and 77/10?
560
Let g be 2/4 + 86354/(-14). Let v = g - -6175. What is the common denominator of -21/8 and v?
56
Suppose 4*a + 132 = 7*a. Let y = a - 130/3. Calculate the common denominator of y and 89/2.
6
Let o = 79/36 + -13/9. Let h = -6 + 4. Calculate the common denominator of 2 + h + (-37)/4 and o.
4
Let q = -50/313 + 34591/6886. What is the common denominator of -5 + 235/45 - (-974)/72 and q?
44
Let d(m) = -5*m + 3 - 10 + m**2 - 1. Suppose 0*o - 36 = -4*o. Calculate the smallest common multiple of o and d(7).
18
Let r(a) be the second derivative of a**5/30 - a**2/2 + 2*a. Let x(z) be the first derivative of r(z). Calculate the smallest common multiple of x(-3) and 6.
18
Suppose 0 = 3*c - 9 - 3, -2*t + 64 = 5*c. What is the common denominator of (12/t)/(8/6) and (-2)/40*2*-21?
110
Calculate the common denominator of 1/12 + 2 + -1 and -43/8.
24
Let p = -42 - -26. Let t = p + 28. What is the lowest common multiple of t and 16?
48
Let v(q) = q**3 - 2*q**2. Let o be v(1). Let c be (-2)/o + 1 + 13. What is the common denominator of -79/20 and 158/c - (-4)/(-2)?
40
Suppose -33*w - 35 = -34*w. Calculate the lowest common multiple of 2 and w.
70
Suppose 60 = -3*z + 7*z. Find the common denominator of 23/6 and (14/3)/(8/z).
12
Let i = -22 + 29. What is the smallest common multiple of i and 1?
7
Suppose 3*s = a + 13, 3*s - 43 = -3*a - 2*a. Calculate the lowest common multiple of s and (3 + 1 + -1)*1.
6
Let t(a) = a + 2. Let p(x) = -x + 3. Let c(m) = -3*m + 8. Let w(b) = 6*c(b) - 17*p(b). What is the least common multiple of t(-1) and w(-8)?
5
Let c = -90 - -95. What is the smallest common multiple of c and (14/(-6))/1*-3?
35
Suppose -209 = -3*j + 4*y + 38, -2*j = -4*y - 166. Calculate the least common multiple of 1 and j.
81
Let l(b) = -2*b + 9. What is the least common multiple of l(4) and -5 + 6 + (-20)/(-2)?
11
Suppose -x = 2*x - 15. Let q = -3 + x. Calculate the smallest common multiple of 14 and q.
14
Let a be (-2 + -2)*(-2)/4. Suppose a*m + 2 = 3*m. Find the common denominator of (-390)/(-12)*1/m and 9/11.
44
What is the common denominator of 53/10 and (-15)/24 + -2 + -1?
40
Let f = 1421/2 - 730. Calculate the common denominator of f and -95/16.
16
Let v = 8 + 10. Let m = 25 + -9. What is the lowest common multiple of (-15)/(-4)*m/3 and v?
180
Calculate the common denominator of -61/18 and (-1)/((-3)/(-210))*(-1)/(-12).
18
Let s be -1 + 14/4*-2. Let v = -13 - s. Calculate the lowest common multiple of 1 + 1 - 0 - v and 9.
63
Let s = -14782 - -295541/20. Calculate the common denominator of s and (13/(-15)