.
220
Let h = 34527230 + -621868535/18. Let a = 21014 + h. Calculate the common denominator of a and 2 - 1 - (-316)/(-48).
36
Let f(w) = -w + 1. Let k be f(-6). What is the common denominator of 30/7 and (-3)/k + 1599/(-728)?
56
Suppose -2*p + 0*p + 115 = 3*k, -2*p + 80 = 2*k. Suppose 0*m + 5*m - k = 0. What is the smallest common multiple of m and 8?
56
What is the least common multiple of -12*(-5 + (-84)/(-18))*4 and 150?
1200
Suppose 4*a - 124 = 5*o, -2*a - 16 = 2*a. What is the lowest common multiple of (-272)/o + 2/7 and -3*(-1)/6*12?
30
Let y = -194771/217392 + 1/9058. What is the common denominator of -17/88 and y?
528
Let n = 7 - 0. Suppose -n*j = -3*j - 14304. Let o = j + -50109/14. Find the common denominator of o and -41/16.
112
What is the common denominator of -77/10 and 2*298/120 + -2?
30
Suppose -2*i + 4 = -0. Suppose -p + 20 = 2*p + 2*w, p - 12 = -i*w. Calculate the least common multiple of 111/(-74)*(-6)/9*8 and p.
8
Let q(m) = -2*m**3 + 33*m**2 + 17*m + 16. Calculate the smallest common multiple of q(17) and 32.
32
What is the least common multiple of 18 and 68/(-20) + 3 + (-910)/(-25)?
36
Suppose 0*t = 4*t - u - 12, -2*u = -2*t + 12. Suppose 0*d - 1790 = -t*d. Calculate the common denominator of -51/22 and 1/(-6) + d/60.
44
Suppose 4*x - 5*x + 33 = -5*o, -6 = -2*x - 2*o. Let s = -5/1189 + 93981/11890. Calculate the common denominator of s and (-82)/(-40) - x/(-20).
20
Let b(w) = -4*w**2 - 9*w. What is the least common multiple of b(-2) and 30?
30
Suppose -54 + 244 = -3*a + 4*s, -150 = 2*a + 2*s. Let v = -67 - a. Calculate the least common multiple of 6 and v.
6
What is the common denominator of 9/6*35/(-98) and 73/8?
56
Suppose -4*v - 5*z - 25 = 0, 30 = -v - 5*z + 5. Let s be 6/6 - (v + 5). Find the common denominator of s + 6 - (-58)/10 and -3/11.
55
Let l = -258788/5 - -267077/5. Let t = -3305/2 + l. Find the common denominator of -19/16 and t.
80
Let s = -849/2 + 390. Calculate the common denominator of -9/368 and s.
368
Suppose 3*t + 22*t - 700 = 0. What is the smallest common multiple of 21 and t?
84
Let a be (6 - -1) + 3/1. Suppose -x = 4*x - a. Calculate the least common multiple of 16 + 1/(-1) + -1 and x.
14
Suppose -12*s = 13*s - 625. Calculate the smallest common multiple of 30 and s.
150
Let j = -895811995/36 - -24885500. Let c = 1832 - j. What is the common denominator of c and 81/16?
144
Let z(b) = b**3 - 8*b**2 - 19*b - 2. Let p be (-3)/9 - (-48)/9. Suppose p = 3*r - n - 1, -5*r + 2*n = -10. What is the lowest common multiple of z(10) and r?
8
Calculate the common denominator of 11/21 and (4/30)/(128/(-2260)).
336
Let z be 5/(-20) - 26/(-8) - 10. What is the smallest common multiple of ((-24)/28)/(1*1/z) and 11?
66
Let c(d) be the second derivative of -d**3/6 + 2*d**2 + 2*d. What is the smallest common multiple of c(-4) and (24/(-14))/(9/(-63))?
24
Suppose -14 = -2*m - 2*c, c = 2*m - 2*c - 19. Suppose 6*a + 44 = m*a. Calculate the lowest common multiple of a and 6.
66
Suppose 3*i - 3*a - 8 + 2 = 0, 0 = i + 5*a - 20. Calculate the smallest common multiple of 55 and i.
55
Let a be ((-1383998)/(-36))/11 - (-4)/18. Let b = 3486 - a. What is the common denominator of -44/19 and b?
114
Suppose 2*h = 10, -2*h + 31 = a - 25. Suppose -74 - a = -5*i. Calculate the least common multiple of 10 and i.
120
What is the least common multiple of (-73 - -154)/(0 + 1) and 24?
648
Let n = 2021/28 + -402/7. What is the common denominator of (-1)/1 - (-1526)/84 and n?
12
Let n = -23218/81 - -183551/648. Let p = n - -7/27. Find the common denominator of p and -71/38.
152
Let v = 39 - 37. What is the lowest common multiple of 30 and v + 5/(-4) + (-18)/(-8)?
30
Let g be (-8106)/(-35) + (-4)/(-10). Calculate the common denominator of 10/25 + g/45 and -3/4.
36
Let f = -1310/2849 - -47/74. What is the common denominator of f and 5/98?
1078
Suppose 3*b - 5*b = -6, 0 = 4*p - 2*b - 170. Suppose -p = -2*j + d, -2*j + 8 = -3*d - 32. Calculate the lowest common multiple of 4 and j.
92
Suppose -3*n - 19 = 47. Let k = n - -37. Calculate the smallest common multiple of 9 and k.
45
Let i(b) = -8*b**2 + 33*b - 21. What is the smallest common multiple of i(3) and (0 + -1)*(-6 + 0)?
6
Let c(j) = -j + 16. Let q be c(5). Suppose 2*o - o = -g + 1, o = 4*g + q. Calculate the least common multiple of o and 12.
12
Suppose -4*f = 5*v - 5*f - 58, 68 = 5*v + 4*f. What is the lowest common multiple of v and 24?
24
Suppose -4*u + 41 = l, -3*l - 3*u = -5*l + 93. Suppose -3*o = -18*o + l. What is the lowest common multiple of 2 and o?
6
Let u be 11218/8 + 3 + -1. Let r = -1423 + u. Find the common denominator of 71/36 and r.
36
Let k = 10034/9 + -1108. Find the common denominator of -67/144 and k.
144
Suppose 4*g - 5 = -1, 5*s + 2*g - 37 = 0. Suppose 4 = w + s. Calculate the lowest common multiple of 5 and (-9)/(-5) - w/15.
10
Let i = 425831623/115970 - 138/11597. Let w = i + -3669. What is the common denominator of w and -49/2?
10
Suppose -3*s + 2*r + 4 = -2*s, 0 = 5*s + r - 9. What is the lowest common multiple of s and 8?
8
Let r = 2622985/568 + -20878/71. Let t = r + -4330. What is the common denominator of 73/12 and t?
24
Let j(y) = y + 1. Let l be j(5). Let d(z) = 6*z**2 + 6*z**2 + l*z**3 - 9*z - 2*z**3 - 12 - 5*z**3. Calculate the lowest common multiple of d(11) and 4.
20
Let r be (-395037)/39 + 6/39. Let t = r + 121423/12. Find the common denominator of 37/20 and t.
60
Let s be (-195)/(-10) + 1/2. Suppose p - s = q, -2*p + q = 3*q - 24. What is the least common multiple of p and 3/(0 - 9/(-66))?
176
Suppose -8*y = -86 + 606. Let s = y - -67. What is the lowest common multiple of 7 and s?
14
Suppose 0 = -s - 0*s + 2. Suppose -n = -s*n. Suppose -i = -4*h + 14, n = 3*h - 15 - 0. Calculate the smallest common multiple of 8 and i.
24
Let j(x) = -x**3 + 51*x**2 + 4*x - 183. What is the lowest common multiple of j(51) and 102?
714
Suppose 3*h - 4*h - 7 = -y, -23 = -5*y + h. Let s be -1*(0 + 3 - (-9 - -2)). Let m = s - -14. What is the smallest common multiple of m and y?
4
Let l = -425133/44168 + 2/5521. What is the common denominator of (-8)/(-24)*(-291)/(-22) and l?
88
Let f = 7 - 7. Suppose -5*i + d + 45 = f, 4*i - i = 4*d + 10. What is the lowest common multiple of i and 36?
180
Let s = -446 + 450. Suppose 0 = 4*w - 29 + 1. Calculate the lowest common multiple of w and s.
28
Let l(f) = -f**3 - 23*f**2 + 26*f + 60. What is the smallest common multiple of l(-24) and 18?
36
Let d be ((-8)/(-12))/(-1) - (-20)/(-15). Calculate the smallest common multiple of (3/2)/(3/16) and (-10)/3*-3 + 2*d.
24
Calculate the common denominator of (-84)/(-68)*(-20)/(-12) and -37/9.
153
Suppose 2*o = -2*m - 6, 3*m = 4*o + 2*m + 22. Calculate the common denominator of -35/36 and (-13)/(-12) - (o + 1).
36
Let n = -28 + 52. Let x be 12/n + (-13)/(-2). What is the common denominator of 146/(-6)*x/(-42) and -29/22?
198
Let p(k) = -k + 16. Let s be p(14). Suppose s*f + 10 = 4*f. Calculate the lowest common multiple of f and 16.
80
Let v = 203626 - 28100537/138. What is the common denominator of v and 52/75?
3450
Let t(d) = -d**2 + 24*d + 47. Calculate the smallest common multiple of 18 and t(17).
1494
Let u = -3 - -7. Let m = u - 0. Calculate the smallest common multiple of (m - -1)*4/1 and 18.
180
Let r(t) = t + 11. Suppose -2*k - 29 + 9 = y, 0 = -5*k - 2*y - 49. Calculate the lowest common multiple of r(k) and 8.
8
Suppose -5*u + 945 = -810. Let a = -13171 - -237001/18. What is the common denominator of (-2)/10 + u/80 and a?
144
Let f = -134516/21 - -6402. Calculate the common denominator of -14/9 and f.
63
Let t = 1649 - 1645. What is the lowest common multiple of t and 48?
48
Let q = -20 + 40. Let i(x) = x**3 - 2*x**2 + x - 4. What is the least common multiple of i(4) and q?
160
Let k = -67 - -4. Find the common denominator of 25/2 and (16 - k)*(-1)/(-8).
8
Calculate the common denominator of 31/21 and 3 + (-2658)/(-1359) - (-25)/(-5).
3171
Let u be (-4)/10 + 2108/20 + -4. Calculate the common denominator of 59/2 and ((-1)/(-2)*(-1 + -58))/u.
202
Let b = 2/77 + -1929/154. Find the common denominator of b and 945/14*(-6)/(-80).
16
Let l = -420 + 660. Calculate the common denominator of (-236)/l - 2/(-6) and -121/12.
60
What is the common denominator of 42/154 + (-736)/(-1980) and