 the lowest common multiple of 6/27 + 534/27 and s(-9).
20
Calculate the common denominator of 53/28 and 30/(-42) + 1 - (-503)/28.
28
Let n = 27901/75 + -372. Let x = n + 47/225. What is the common denominator of 13/4 and x?
36
Let v(f) = -2*f**3 - 5*f**2 + 5*f + 5. What is the least common multiple of 18 and v(-4)?
198
Let g be (-1)/((6/3)/(-24)). Suppose -v + g = -3*v. Calculate the common denominator of (v/28)/((-2)/(-91)) and 89/2.
4
Suppose -35 = 4*q - a - 102, -3*q = -2*a - 54. Calculate the least common multiple of q and 62.
496
What is the least common multiple of 3*(-6)/18 + 1*35 and 5?
170
Let q = 777/620 - 25/62. Calculate the common denominator of q and -1/112.
560
Let j(g) = -2*g**2 + 5*g + 6. Let l be j(5). Let u = l - -13. Find the common denominator of 34/14 - 3/u and 145/6.
42
Let j(c) = c**3 + 6*c**2 + 5*c + 2. Let t = -13 + 8. Suppose -l - 2 = -3*l. What is the least common multiple of j(t) and l?
2
Suppose 2*r + 13 = -z, -r + 10 = -5*z - 0. Find the common denominator of (-8)/42*357/9 and r/(-9) - 4/6.
9
Let n be 3 + (-3)/((-6)/(-32594)). Let a = n + 325959/20. What is the common denominator of 107/18 and a?
180
Suppose m - 32 = -3*m - 4*t, -30 = -4*m - 5*t. Suppose 15*f = 17*f - 20. Calculate the smallest common multiple of f and m.
10
Suppose 4*t - 84 = -2*w, -5*w - 14 = 4*t - 194. What is the common denominator of w/(-144) + (-299)/(-90) and 59/3?
30
Let j = -14 - -30. Let d = 7 + -4. Let r(b) = b**3 - b**2 - 3*b + 3. What is the least common multiple of r(d) and j?
48
Let k = 32773/1660 + 3/415. Let d be (-222785)/50 + 1*3. Let l = 4458 + d. Find the common denominator of k and l.
20
Suppose -4*b - 2*t + 12 = 0, -2 = -2*b + 3*t - 4. Let i = 0 + 5. What is the lowest common multiple of b and i?
10
Let p(v) = 5*v**2 - v**2 + 4 - 2 - 4*v. Suppose 0*c + 20 = c. What is the smallest common multiple of p(2) and c?
20
Let u(z) = 4*z + 5. Let h be u(4). Suppose -3*l = -4*l + 4*n, 0 = -3*l + 5*n + h. What is the lowest common multiple of l and 14?
84
Let u = -3 + 5. Suppose 5*o - h - 35 = 0, -h = 4*o - u*h - 27. What is the lowest common multiple of o and 3?
24
Let g(x) = -x**3 + 7*x**2 + 4*x + 8. Let q be g(8). Calculate the common denominator of 7/4 and ((-3)/q)/(1/(-118)).
4
Let t(v) = v - 2. Let z be t(8). Let g(c) = -c + 6. Let l be g(z). Suppose 4*h - 22 = 3*q - 4, l = -q + 2. Calculate the least common multiple of h and 4.
12
Let m be 6 - ((-2 - -1) + 0). Let j = m - -13. What is the smallest common multiple of 14 and j?
140
Calculate the least common multiple of 4*5/((-40)/(-18)) and 8.
72
What is the common denominator of ((-1)/4)/(-7*(-1)/(-6)) and -143/12?
84
Suppose q + 9 = 2*r - 15, -3*r + 4*q = -36. What is the lowest common multiple of 7 and r?
84
Let j = -2262/5 + 138007/305. Let g = -3557/976 + j. What is the common denominator of (-1)/(-6) - 382/24 and g?
16
Let a = 42 + -16. What is the least common multiple of a and 2?
26
Suppose -2*v - 34 = -3*l, 4*l - 5*v + 34 = 5*l. Calculate the smallest common multiple of l and 50.
350
Let h = -2 + 8. Suppose 2*y + 3*y = -3*n - 34, h = -2*n. What is the common denominator of -36/11 and (-1)/4*(-69 + y)?
22
Suppose 0 = 2*j + j - 4485. Let o = -20975/14 + j. Let d = -3214/5 + 51139/80. Calculate the common denominator of d and o.
112
Let d = -30600 + 1530063/50. Calculate the common denominator of d and -34/25.
50
Let v be 3/(4 - 59/14). Let c = v - -14. Find the common denominator of c and 47/18.
18
Let q(r) = 980*r**3 + 2*r**2 - r - 1. Let g be q(-2). Let i = -78393/10 - g. Find the common denominator of ((-298)/(-18))/(1*-2) and i.
90
Let p(s) = -5*s - 1. Suppose 0 = 7*m + 7*m - 28. Calculate the smallest common multiple of p(-1) and m.
4
Let z(v) = -v**2 + 7*v - 1. Let u(d) = 4*d + 1. Let s be u(-1). Let a = s + 12. Calculate the least common multiple of z(6) and a.
45
Let g be ((-127770)/700)/(18/(-5)). Let n = g - 380/7. Find the common denominator of n and 113/14.
84
Let b(y) = y**3 + 11*y**2 - 14*y + 18. What is the least common multiple of 14 and b(-12)?
42
Let m = 12 + -6. Calculate the least common multiple of m and 10.
30
Let i(w) = 3*w + 85. What is the least common multiple of 8 and i(-28)?
8
Let s be ((-15)/(-10))/(3/(-4)). Calculate the lowest common multiple of ((-16)/s)/(2/4) and 18.
144
Let x = 1 - 11. Let q be (-1 - (-7)/2)*-6. Let d = x - q. Calculate the lowest common multiple of 8 and d.
40
Let n be ((-33)/(-26) + -1)*-444. Let j = 1340/33889 - 558784007/4846127. Let d = n - j. Calculate the common denominator of -52/9 and d.
99
Let w = -5712 + 645450/113. Let y = w - 517/904. Let i = -467/3 - -631/6. Find the common denominator of y and i.
8
Let t = -20 + 26. What is the lowest common multiple of 14 and t?
42
What is the common denominator of (-41)/(-3) - (-4 + 2) and ((-118)/(-6))/(-18 - -21)?
9
Let q be (-965724)/45270 + (2 - 1). Let a = q - 2/2515. What is the common denominator of 3 - (-4)/5*-1 and a?
15
Suppose z + 5 + 7 = 3*a, -5*z + 16 = 4*a. What is the lowest common multiple of 10 and (8 - 5)*(1 + z)?
30
Let t(r) = r**3 + 6*r**2 - 8*r - 5. Let a be t(-7). Let b = 1366/21 + -193/3. Calculate the common denominator of 2/(-6) + (2 - a) and b.
21
Let d = -15 - -24. Let f = 17 - 6. What is the least common multiple of d and f?
99
Suppose 2*s - 4*s + i + 1 = 0, 0 = -3*s + 2*i. What is the least common multiple of s and 6?
6
Let q = 2 - 1. Calculate the smallest common multiple of (-78)/(-8) - q/(-4) and 4.
20
Let g(x) = x**3 - 4*x**2 + 2*x - 1. Let a be g(3). What is the lowest common multiple of (-14 + 4)*(2 + a) and 20?
20
Let o = 863030/18926269 - -2/71963. Let k = 17729/2367 - o. What is the common denominator of k and -51/8?
72
Let k = 1342/15 - 607/6. What is the common denominator of (-2)/(-8)*(-596)/18 and k?
90
Suppose -12 + 4 = -4*m. Find the common denominator of (-828)/(-40)*10/12 and (-38)/40 + m/8.
20
Let o(a) = -36*a**2 + 2*a - 2. Let b be o(1). What is the least common multiple of 6 and 1/(-6) - 330/b?
18
Let v(r) = 2*r**2 - 3*r + 11. Calculate the smallest common multiple of 5 and v(3).
20
Let a = -5 - -9. Let y(j) = j**2 - 2*j - 5. What is the lowest common multiple of y(a) and 3?
3
Suppose -6*n = -3*n - 99. Find the common denominator of 37/20 and n/(-36) + (-1)/(-6).
20
Suppose -5*j - 7*v + 3*v = -98, -4*v = -5*j + 122. What is the lowest common multiple of 10 and j?
110
Let x = 291 - 2331/8. Let w be (1/(-2))/(2/34). Let o = w + -29. Find the common denominator of x and o.
8
Let s = 0 + 2. Suppose -2*i + 0*i + 40 = 0. Calculate the smallest common multiple of s and i.
20
Let m be 864/63 + 4/14. Suppose 5*x + 10 = -f, 2*x - m = 3*f - 7*f. What is the common denominator of 8/9 and x?
9
Let z = -4 + 0. Suppose -3*j = j. Let n = j - z. Calculate the smallest common multiple of 14 and n.
28
Suppose -4 = 2*k, 0 = d - k - 2 - 1. Calculate the lowest common multiple of 10 and (-9)/(-2) - d/2.
20
Let b = -8 + 16. Find the common denominator of (b/96)/((-2)/332) and 43/18.
18
Let l = 4051 + -9908745/2446. Let v = 245825/4892 - l. Let j = v - 119/4. Calculate the common denominator of -131/6 and j.
6
Let g = -2/4713 - -245090/32991. Calculate the common denominator of g and ((-132)/10)/((-171)/190).
21
Suppose 5*f - n + 65 = -2*n, 29 = -2*f - n. Find the common denominator of (-37)/6*f/(-20) and (2/1 + -103)/(-10).
10
Let s(o) be the third derivative of -o**5/60 + o**4/4 + 7*o**3/6 - 4*o**2. Suppose -2 = -2*w + w. What is the lowest common multiple of w and s(5)?
12
Suppose -4*g - 2 = -58. Calculate the least common multiple of 75/(-1 - -6) + -1 and g.
14
What is the smallest common multiple of -4*(4 + (-68)/16) and 30?
30
Let k = 96 + -34. What is the lowest common multiple of k and 14?
434
Let i(n) = 3*n - 5. Let a be i(5). Let f = a - 8. Calculate the lowest common multiple of f and 14.
14
Suppose 4*s - 17 = -b, -2*s + 1 = -b - 0. Let o be (-3)/9*(-5 - -2). Let a = o - -10. What is the least common multiple of s and a?
33
What is the smallest common multiple of (10/25)/((-4)/(-180)) and 32?
288
Let u = 2894 - 14414/5. Calculate the common denominator of u and 6/7.
35
Let p = -6796 - -162983/24. Find the common denominator of p and -11/15.
120
Let d = 832 - 3271/4. Let w be ((-3010)/(-6))/((-6)/9). Let t = 2282/3 + w. Calculate t