alculate the common denominator of -25/2 and (6/15)/(g/r).
2
Suppose -5*c = -26 + 146. Let b = -58 + 100. Let z = c + b. Calculate the lowest common multiple of z and 14.
126
Let k(o) = 3*o**2 - 7*o + 4. Let f be k(4). Let u = 2/561 + -2254/2805. What is the common denominator of u and f/7*6/4?
35
Suppose -29 - 31 = -3*b. Suppose 4*f - 56 = 4*r - 6*r, 3*r - 64 = -2*f. What is the lowest common multiple of r and b?
180
Let s be 50/1348*3/(-15). Let j = 7937/2359 + s. What is the common denominator of 19/20 and j?
140
Suppose g - 2*q + 3*q = 26, -5*g + 136 = 2*q. Let o(t) = t - 4. Let l be o(7). Calculate the lowest common multiple of 6 and l/((-50)/g - -2).
42
Let o = -4 - -2. Find the common denominator of (-158)/28 - o/(-2) and 8/10 - 1626/420.
14
Suppose -3*g + 2*g = 4*a + 528, -5*a = -5*g - 2590. Let o = g + 3113/6. Calculate the common denominator of o and 49.
6
Let w = -201 + 217. Suppose -40 = -6*m + 2*m. What is the smallest common multiple of m and w?
80
Suppose -156 = 2*n + 2*n. Let a = n - -55. Suppose -2*k = 2*k - 56. Calculate the smallest common multiple of k and a.
112
Let p be 1/2 - (-619)/(-2). What is the common denominator of -7/18 and (-2)/8 - p/108?
18
Let i(g) = g**3 + 6*g**2 + 4*g. Suppose 3*s - 3*a + 6*a - 51 = 0, -2*s + 40 = -4*a. Calculate the least common multiple of s and i(-4).
144
Let x = -12651/8 + 1571. Suppose 0*f - 2*f - 4*q = -348, -4*f - 5*q + 690 = 0. Calculate the common denominator of x and f/24 - (-2)/(-6).
8
Suppose 6*r = -t + 5*r + 3, 0 = -4*r. Calculate the smallest common multiple of t and 7.
21
Let d(x) = -x**3 + x**2 - x + 9. Calculate the lowest common multiple of 5 and d(0).
45
Suppose i + 5*q - 64 - 14 = 0, 2 = -q. Suppose -5*m + m = -i. Let h = -75 + 89. Calculate the least common multiple of m and h.
154
Let i = 4/34601 + -15613/6781796. Let s = i - 30145/17836. Let l = s + 875/156. What is the common denominator of l and -71/12?
12
Let q(m) = 2*m + 23. What is the smallest common multiple of 12 and q(-10)?
12
Suppose 5*d - 2 = g + 9, -2*d + 1 = 3*g. Suppose 0 = 5*o - 2*z - 40, d*z - 24 = -3*o - 0*o. What is the lowest common multiple of o and 11?
88
Let t be 11/(-44) + (-138)/(-8). Calculate the common denominator of t/4*-1*10 and 83/2.
2
Let i = -7897/4 - -1950. Calculate the common denominator of 143/12 and i.
12
Let s(r) = -r**2. Let m be s(-2). Let k be m/(-22) + (-864)/(-88). Let q(f) = -f**3 + 10*f**2 + 2*f + 2. Calculate the smallest common multiple of q(k) and 14.
154
Suppose 8 = -3*f + 5*f. Calculate the lowest common multiple of ((-2)/4 + -1)/(3/(-16)) and f.
8
Suppose 5*h + 0*h - 55 = 0. Suppose w - 13 = -c, -3*c + 4*w + 4 = -7. What is the lowest common multiple of h and c?
99
Suppose -t - 4 = i, -t + 2 + 4 = -4*i. What is the lowest common multiple of 8 and 8 - i/2 - -1?
40
Let c = 44/21 - 94/7. Calculate the common denominator of c and -61/12.
12
Let a = -31 + 13. Find the common denominator of 31/16 and (2/(-10))/(a/(-115)).
144
Suppose 2*i + 3*a + 4 - 23 = 0, -4*a + 12 = -4*i. Let k be (4 - 2 - 0) + -64. Let j = -42 - k. What is the smallest common multiple of i and j?
20
Let i(j) = 6*j - 2. Suppose 2*l = -5*q + 13, 2*q - 23 = -q - 5*l. What is the least common multiple of 22 and i(q)?
44
Let g be (99 + -5)/(2/(-3)). Find the common denominator of (2 - 1) + g/(-12) and -26/11.
44
Suppose v = -2*v + 12. Calculate the lowest common multiple of (-2)/v - (-14)/4 and 8.
24
Let c(i) = 5*i + 3. Let d be c(3). Let v be ((-20)/6)/((-3)/(-9)). Let o = d + v. What is the lowest common multiple of o and 12?
24
Suppose 3*a + 0*a - 9 = 0. Suppose -a*d = 5*y + 3, -2*y + 9 = -5*y. What is the least common multiple of 4 and d?
4
Let l = -18 + 29. What is the least common multiple of l and 1?
11
Let u = -125897/5 - -25263. Let b = u - 35953/430. Let q = -1658/215 - b. Find the common denominator of q and -44/3.
30
Suppose 2*z = -2*b - 10, 2*b - 6*z + 4 = -2*z. Let f be ((-2221)/14)/(b/(-8)). Let y = f - -316. Find the common denominator of 53/2 and y.
14
Let w(m) = -m**2 - 12*m + 8. Calculate the smallest common multiple of w(-10) and 8.
56
Suppose -2*u + 27 = 9. Calculate the lowest common multiple of u and 11.
99
Let d = 1639/222 + -45/37. Calculate the common denominator of d and -50/9.
18
Suppose 0 = -6*b + 2*b + 8. Let q be 24/(-9)*(-3)/b. What is the lowest common multiple of 27/q + (-1)/(-4) and 7?
7
Let c(l) = 13*l - 1 - l**2 - 8*l + 7. Calculate the least common multiple of c(4) and 2.
10
Let d(z) = -z**3 + z**2 + 5. Suppose 0 = -3*w - 45 + 66. What is the smallest common multiple of w and d(0)?
35
Let k = -41251/6 + 6898. What is the common denominator of -81/2 and k?
6
Calculate the common denominator of 80/(-6)*(-3)/9 and -61/4.
36
Suppose n + 2 - 5 = 0. Let m(i) = i**3 + 6*i**2 + 2. Calculate the least common multiple of n and m(-6).
6
Let q = -21 - -15. Let a = 2 - q. Calculate the lowest common multiple of 10 and a.
40
Let v = 1791/4 + -19925/44. Let p = v + 717/22. Find the common denominator of p and -52/11.
22
Calculate the smallest common multiple of 6 and 4 - (-21 + 3 + 0).
66
Let j = -52 - -14. Calculate the common denominator of 37/12 and 93/j + 10 + -6.
228
Let w(m) = -m**2 + 6*m - 6. Let d be w(4). Suppose d*q - 4 = 12. Find the common denominator of -13/12 and (-22)/12*30/q.
24
Let q(p) = -p - 9. Let l be q(-6). Let k(i) be the second derivative of -i**3/6 + i**2/2 - 3*i. Calculate the lowest common multiple of k(l) and 9.
36
Let v = 38/435329 + -1494531539/539372631. Let h = v - -10/177. What is the common denominator of -12/7 and h?
7
Let w = -8 - -16. Calculate the lowest common multiple of w and 22.
88
Suppose 3*j = y + 19, 5*y + 0*y = 25. Let g = -4 + 7. Calculate the smallest common multiple of j and g.
24
Suppose -x + 18 = 2*q - 5*x, -4*q + 15 = -x. Suppose -3*a + 6*a - 18 = -3*c, 0 = -q*a. What is the least common multiple of 2 and c?
6
Suppose 5 - 1 = 4*f. Let n be ((2272/12)/8)/((-1)/(-27)). Calculate the common denominator of f/2*n/(-36) and -101/20.
40
Suppose -4*m + 19 + 21 = -z, 0 = -2*m - 4*z + 20. Let w = -29 + 49. What is the smallest common multiple of w and m?
20
Let j(a) = -a**2 - 7*a + 11. Let d be j(-8). Suppose 44 = d*w - 2*f, 100 = 3*w + 3*f + 31. What is the smallest common multiple of w and 2?
18
Suppose -3*l + 31 = 169. Suppose -12 = 2*p + 2*n - 0*n, 4*n + 16 = 0. Find the common denominator of l/(-6)*(-9)/p and 75/22.
22
Let a = 8672 - 346989/40. Find the common denominator of 89/16 and a.
80
Suppose 18 = -f + 3*f. What is the lowest common multiple of 1 and f?
9
Suppose -2*f - 5*k = 335032, -3*f + 4*k + k = 502498. Let o = 1673173/10 + f. Let t = o + 181. Calculate the common denominator of -91/12 and t.
60
Let d(b) = b**3 + b - 6. What is the least common multiple of d(3) and 10?
120
Suppose 0 = -2*g + 7 + 1. Let y = 4 + -2. What is the lowest common multiple of g and -3*(-4)/y - -1?
28
Let t = 40 - 30. Calculate the lowest common multiple of 2 and t.
10
Let v(w) = 4*w - 25. Let t(i) = i - 2. Let l be t(-4). What is the smallest common multiple of (-32)/l - 6/(-9) and v(7)?
6
Suppose 2*b - 3*l + 13 + 16 = 0, 0 = 3*b + 4*l + 18. Let r(d) = -d**2 - 13*d - 14. What is the least common multiple of 6 and r(b)?
48
Let x = -48234/11 + 4380. What is the common denominator of 4/13 and x?
143
Let l = 21/4 + 18. Calculate the common denominator of -93/16 and l.
16
Suppose -5*c - 5 = -15. Let d(m) = 6*m - 13. What is the least common multiple of d(4) and c?
22
Suppose 18 = a + 5*v, -4*v = -v - 6. Let q = 3713/20 - 807/5. Find the common denominator of (303/(-6) - -2)/a and q.
16
Let r = 0 + 3. Calculate the lowest common multiple of 9 and r.
9
Let s(q) = -q**3 + 3*q**2 - 2*q + 2. Calculate the common denominator of 2/(-4) - (175/(-30) - 0) and s(3).
3
Let p = 8 - 2. Calculate the least common multiple of ((-66)/18)/((-1)/p) and 16.
176
Let v = 17 - 13. What is the lowest common multiple of 32 and v?
32
Let k be (4 + 1)*(-8735)/5685. Let b = -2048122/379 - -5404. Let f = b - k. Calculate the common denominator of f and 71/4.
12
Let j(a) = -7*a**3 - a - 1. Let m be j(2). Let v = m + 589/10. Find the common denominator of v and (-122)/40 - (-3 + 2).
20
Let y = -43 + 44. What is the lowest common multiple of 2 and y?
2
Let b be 14/10 - (-15)/25. Calcul