09/21. What is the common denominator of n and m?
9
Let v(x) = -x**2 + x + 1. Let f(g) = g**3 + 11*g**2 - 13*g. Let l(w) = f(w) + 5*v(w). What is the least common multiple of 4 and l(-7)?
12
What is the common denominator of 71/14 and 21/4 - 7/21?
84
Suppose 2*o = 7 + 7. Calculate the common denominator of (-132)/(-15) - (1 + 3) and (-502)/42 - (-2)/o.
15
Let h(m) be the first derivative of -3*m**2/2 - 6*m + 3. Calculate the least common multiple of h(-4) and 12.
12
Let c = -92 - -97. Calculate the lowest common multiple of 11 and c.
55
Suppose -3*c + 0*c = 27. What is the lowest common multiple of (-60)/c + (-2)/(-6) and 11?
77
Let b(v) = -v**3 + 7*v**2 + v - 9. Let w be b(7). Let p(s) = s + 2*s + 5*s**2 - s**2. Calculate the lowest common multiple of 12 and p(w).
60
Let t(j) = -j**3 + j - 1. Let z be t(0). Let l = 2 + z. Suppose l = c - 3. Calculate the smallest common multiple of 2 and c.
4
What is the least common multiple of (-2)/7 - 430/(-35) and 4?
12
What is the common denominator of -17/18 and 8/4 - (-65)/(-18)?
18
Let j be 9/6*11598/(-9). Let h = j - -5849/3. What is the common denominator of h and 19?
3
Let d(w) = -w**3 - 14*w**2 + 13*w - 20. What is the smallest common multiple of d(-15) and 10?
10
Let a = -31 + 38. Calculate the smallest common multiple of 36 and a.
252
Let t(a) = -a**3 - 7*a**2 + 5*a - 10. What is the least common multiple of 10 and t(-8)?
70
Suppose -4*l + 3 = 3*d, -5 = -3*l + 4*d - 9*d. Let a = l - -11. What is the lowest common multiple of 6 and a?
66
Let o = -8327/630 + 83/63. Calculate the common denominator of -4*(2 - 18/16) and o.
10
Let d be 2/3 - (-1086)/(-9). What is the smallest common multiple of (d/(-4))/((-9)/(-6)) and 10?
20
Let r be (-5166 - -1)*12/(-5). Find the common denominator of r/(-3696) - (-4)/(-22) and -93/10.
140
Let o be 1/(-2)*2 - -3. Let a = o + 2. Suppose 2*l = a*p + p - 43, 6 = p - 3*l. What is the lowest common multiple of p and 9?
9
Let g be 6/(-1)*16/(-12). Suppose -w - 589 = -3*n, 0*w = -2*w - g. Let x = n + -983/5. Calculate the common denominator of 69/8 and x.
40
Let s = 15331902/4465 - 17169/5. Let r = s + -31231/7144. What is the common denominator of 49/3 and r?
24
Let v(j) = -3*j - 29. What is the least common multiple of 5 and v(-11)?
20
Let o = 1218 - 26701/22. Let j = 15958 + -319273/20. Find the common denominator of o and j.
220
Suppose -5*h + 425 = -495. What is the smallest common multiple of 22 and h?
2024
Let r = 675/2 + -1030/3. Find the common denominator of 47/3 and r.
6
Let b be 2/(-13) - (-822940)/936. Let i = 1747/2 - b. Find the common denominator of 10/11 and i.
99
Let o = 5 - 3. Suppose -o*v + 3 = v. What is the smallest common multiple of (-1 - -9) + v + -3 and 7?
42
Let a be 10/(-5)*42/(-4). Let j = -28/201 + 17309/1608. Calculate the common denominator of 6/a - 1401/(-168) and j.
8
Calculate the common denominator of 2 - ((-69)/(-4) + 1) and -47/10.
20
Suppose p - 25 = 3*c, 2*c + c = 3*p - 87. Find the common denominator of (p/(-24))/(2/6) and (3/(-6))/(22/(-14)).
88
Let a be (1 + -4)*34/6. Let i = 92 + -735/8. Find the common denominator of a/(-5) - (-4)/(-2) and i.
40
Suppose 37 = 5*z + y, -y - 8 = -5*y. Suppose -z*h = -57 + 1. Suppose -2*s + 6*s = 12. What is the least common multiple of h and s?
24
Let b be 154141/44 + 3/(-4). Let h = 3505 - b. What is the common denominator of h and 62/(-2)*(-2)/(-6)?
33
Let c = -2 + -12. Calculate the common denominator of -133/6 and (63/(-49))/(4/c).
6
Calculate the common denominator of 14/(-30) + (-1)/3 and 11*1/(15/(-12)).
5
Let d = -2 - -2. Let h be (1 - 46)*(-1 - d). Calculate the common denominator of (-618)/h*(-3)/4 and 15/14.
70
Suppose 2*y - 2*r - 16 = 0, 0 = -2*y + 3*y + 3*r - 12. What is the smallest common multiple of y and 11?
99
Calculate the common denominator of 164/(-33) + (-24)/(-18) and -36/5.
55
Let h(t) = -t**2 + 4*t + 7. Suppose 4*c - 10 - 10 = 0. Let z be h(c). Suppose 0 = 2*l + z*l - 36. What is the lowest common multiple of l and 5?
45
Suppose g - 7*f - 49 = -2*f, -2*g = 2*f - 62. Calculate the lowest common multiple of 18 and g.
306
Let t = -12 + 14. What is the least common multiple of 10 and t?
10
Let d(m) = -m**3 + 6*m**2. Let n be d(6). Find the common denominator of 53/10 and (-90)/14 - (-1 - n).
70
Let b(s) = -s + 2. Let y be b(0). Suppose 0*a + y*a - 14 = 0. Let u(j) = -j + 11. Calculate the lowest common multiple of 8 and u(a).
8
Let d = -3043/7 - -431. Find the common denominator of d and -37/7.
7
Suppose -4*c + 7*c - 21 = 0. Suppose -2*k = -c*k + 35. Calculate the lowest common multiple of k and 11.
77
Let j = 305/69 + -2/23. Find the common denominator of j and 52/3.
3
Let o = 1394582/3 + -145028983/312. Let j = -290/13 + o. Calculate the common denominator of -89/8 and j.
8
What is the smallest common multiple of 18 and 4 + 5/(15/12)?
72
Suppose n - 11 = -2*o, 5*o - 11 = 4*n - 3. What is the least common multiple of o and 18?
36
Let l(z) = z**3 - 9*z**2 + 6*z - 7. Let i be l(6). Let o = i - -133. Calculate the common denominator of 23/5 and ((-201)/o - -2)*-4.
45
Suppose -24 = -2*h + 6*h. Let w(q) = -q**3 - 5*q**2 + 7*q + 8. Let a be w(h). Suppose 27 - 7 = a*l. Calculate the lowest common multiple of 2 and l.
10
Calculate the least common multiple of -3 + (-1)/(-1)*14 and 10.
110
Let f(k) = k**2 + 4*k + 5. What is the smallest common multiple of 4 and f(-4)?
20
Let j(b) = 8*b. What is the least common multiple of (30/(-8))/((-12)/32) and j(2)?
80
Let w(m) = 3*m - 5. Let t be w(-8). Calculate the common denominator of -83/8 and t/(-10) + 5/25.
40
Let b = -4/8329 + -891155/99948. Suppose -3*o + 5*m = -63, -5*o + 65 = -0*o + 5*m. What is the common denominator of b and ((-4)/(-18))/(o/(-660))?
12
Let x = -365/18 - -1/36. Let c(b) = 2*b**2 + 2*b - 2. Let o be c(-2). Find the common denominator of o/(-11) + (-2925)/66 and x.
4
Let v = -49 + 70. Find the common denominator of 2 - 237/v - -2 and (-2)/(-8) + 973/140.
35
Let h = -2 - -5. Suppose g - h = -2*g. What is the least common multiple of g and 6?
6
Suppose 0*c + 3*c = -2*z - 60, -c = -2*z + 28. What is the common denominator of -64/3 and ((-21)/(-48))/(1/c)?
24
Suppose 5*i + 2*v - 17 = 0, 0 = -i - 0*v + v + 9. Let f = i - 1. Suppose 4*x + 80 = 5*s - x, s + f = -4*x. Calculate the smallest common multiple of 14 and s.
84
Let d(s) = s**3 + s. Let k be d(-3). Let u = -15 - k. What is the common denominator of u and 15?
1
Let f(s) be the second derivative of -s**5/20 - 5*s**4/6 - 2*s**3 - 5*s**2/2 + s. Let t be (-2)/6 - 52/6. What is the lowest common multiple of 18 and f(t)?
198
Find the common denominator of 3*1*(106/(-12) + -6) and ((-67)/7)/(-2 + 4).
14
Let r = -1042072/622643 + 2/12707. Let o = -118/539 - r. Calculate the common denominator of (18/24)/(33/(-72)) and o.
11
Find the common denominator of 47/5 and ((-2)/18)/((-34)/(-4845)).
30
Calculate the common denominator of 41/14 and ((-1)/5)/(32/616).
140
Suppose 0 = g - 4 + 2. Calculate the least common multiple of 3 and g.
6
Let y = 255 - 237. Calculate the smallest common multiple of (-1 + 1)/1 + 10 and y.
90
Let g = 49 + -24. Suppose 0 = -3*z - 10 + g. Let a(w) = w**3 - 5*w**2 + 2*w + 6. What is the lowest common multiple of 12 and a(z)?
48
Let r = 22894 - 2197945/96. Calculate the common denominator of r and -59/4.
96
Suppose -4*o = -o - 24. What is the lowest common multiple of 2 and (-38)/(-4) + (-12)/o?
8
Let u be (-5252)/14*(-6)/32. Let b = u - 404/7. Find the common denominator of 57/10 and b.
40
Let y(a) = -a**2 - 16*a + 24. What is the lowest common multiple of y(-17) and 1?
7
Suppose -3*h + 22 = -23. Suppose h + 12 = 3*r. What is the lowest common multiple of 7 and r?
63
Let z = 60 + -52. Let b(p) = -p**2 + 7*p - 1. What is the lowest common multiple of b(6) and z?
40
Let d(q) = q**3 + 5*q**2 - 4*q + 15. Calculate the least common multiple of 3 and d(-6).
3
Let q = 3 + 1. Suppose -q*o - 2*g + 16 = -4*g, o + 5*g - 15 = 0. What is the lowest common multiple of o and 2/(-3) + (-52)/(-6)?
40
Suppose 2*x = -4*x + 60. Suppose -5*h + 4*h = -8. Suppose -h = 2*s, 17 + 15 = 3*f + 4*s. What is the smallest common multiple of f and x?
80
What is the common denominator of 164/16 + 3/(-6) and 17/11?
44
Let o be 29385/4*12/(-40)*-2. Let j(f) = -164*f**3 - 3. Let b be 