-7). Let k = v + 12. Calculate the lowest common multiple of k and 2.
4
Let f(n) be the second derivative of -n + 0*n**2 + 0 - 5/3*n**3. What is the lowest common multiple of f(-1) and 6?
30
Calculate the common denominator of ((-91)/(-189))/(2/6) and -12/7.
63
Let m be (-1 + 3)/(2 - 3). Suppose -5*j + 3*a + 22 = 0, 3*a + 14 = 2. What is the common denominator of m - j/(12/(-137)) and 42/5?
30
Let j = -2/510459 + -8735484851/4083672. Let a = j + 2145. Calculate the common denominator of -5/22 and a.
88
Suppose -4*u - 20 - 36 = 0. Let v = -6 - u. Calculate the smallest common multiple of 4 and v.
8
Let p = -19/42 + -1583/168. Let j be 1 + -3 - -2 - 2. Find the common denominator of 77*j/16 - 3 and p.
8
Suppose 3*j - 7*j + 28 = 0. Let p(a) = -a**2 + 8*a - 3. What is the smallest common multiple of 2 and p(j)?
4
Suppose -44 = -3*z + 16. Let x(u) = -u**3 + 5*u**2 + 4. What is the smallest common multiple of x(5) and (-1)/5 + 164/z?
8
Let m = -3913/339 - 14/113. What is the common denominator of 41/2 and m?
6
Let v(a) = 171*a**2. Let g be v(-1). What is the common denominator of 73/16 and 1 + g/(-42) - -2?
112
Let d(o) = -23*o - 1. Suppose -8 = -4*f - 2*v + 6*v, -4*f - 3*v - 13 = 0. What is the least common multiple of 8 and d(f)?
88
Let n(i) = -i**2 + 11*i - 6. Let r be 12*((-2)/3 + 1). Suppose -2*v + 80 = 3*v. What is the least common multiple of v and n(r)?
176
Suppose -4*g - 1 = 2*z - 3, g = z - 1. Suppose g*m - 24 = -4*m. Calculate the smallest common multiple of m and 22.
66
Let c be (-1)/2*(-96)/6. Let r be 2 + -1 - 3*37. What is the common denominator of r/c - 0 - -2 and 31/6?
12
Find the common denominator of 116/(-96) + (-1)/4 and -38/11.
264
Let o be 2/(-4)*-2 + -1. Let z(j) = 0*j**3 + j**3 + 12 + j - 2. Calculate the smallest common multiple of 2 and z(o).
10
Let f be (-4)/(-3)*(-5 + 11). Let h(s) = s**3 - 8*s**2 + 2*s + 1. Let m be h(f). Suppose 11 = 4*x - m. Calculate the lowest common multiple of x and 2.
14
Suppose 5*m + 3*y = -0*m + 13, -1 = 2*m - 5*y. Let b = -4 - m. What is the common denominator of (-502)/(-30) - b/(-15) and 41/9?
9
Let j = -330/13 - -127/26. What is the common denominator of 29/10 and j?
10
Let h = -620873/2136 + 3/712. Let o = h - -295. Find the common denominator of 6/5 and o.
15
What is the least common multiple of (-10)/(-3) + (-60)/45 and 31?
62
Suppose -i + 0*i - 3*n + 7 = 0, -19 = 2*i - 5*n. What is the common denominator of (-64)/2 + -6 + 5 and (-20)/(-12) + i/(-9)?
9
Suppose 2*w + 48 = 4*o, 5*o + 78 = -5*w + o. What is the common denominator of (-500)/w*15/20 and -9/20?
60
What is the common denominator of 49/18 and (-85)/60 + 3 + 0?
36
Let r be (1 + 2049/(-2013))*-1. Let a = 36150/4697 + r. Find the common denominator of a and 19/6.
42
Let u = -697/4 + 176. Find the common denominator of -115/14 and u.
28
Let q = 1578 - 3362. Let v = -28535/16 - q. Calculate the common denominator of 79/2 and v.
16
Calculate the least common multiple of 10 and 2*110/4 - 3.
260
Let s be (111/1)/(3 - 2). What is the common denominator of -57/10 and s/(-20) + 3/12?
10
Let l = 109 + -105. Suppose w - 5 = 0, -5*p + 4*w - 26 = -2*p. Let v = 3 + p. Calculate the least common multiple of l and v.
4
Let i(s) = 5*s**2 + s. Let q be i(-1). Let g(y) = 3*y. What is the lowest common multiple of g(q) and 4?
12
Let u(i) = i**2 - 2*i + 9. What is the least common multiple of 21 and u(0)?
63
Suppose -2*i - 2*y + 25 - 1 = 0, 4*y + 72 = 4*i. What is the smallest common multiple of 2 and i?
30
Find the common denominator of 0 + (-3 - (-57)/(-30)) and ((-50)/6)/(4/(-3)).
20
Let g(m) = -m**2 + 2*m + 4. Let h(p) = -3*p**2 + 3*p + 8. Let z(j) = 5*g(j) - 2*h(j). Calculate the lowest common multiple of 5 and z(-3).
5
Let x(d) = d**2 - d. Let w be x(3). Suppose w*t - t - 20 = 0. What is the smallest common multiple of 1554/77 - (-2)/(-11) and t?
20
Find the common denominator of (72/(-440))/((-2)/5) and -41/4.
44
Let h(k) = k**2 - k - 3. Let s be h(5). Suppose 2*y + s = 3*u, u + 2*y - 15 = -4. Suppose -2*p + 10 = 3*p. Calculate the least common multiple of p and u.
14
Suppose 0 = -b + 1 + 2. Suppose b*z = 18 + 6. What is the lowest common multiple of z and 2?
8
Let l be 6/(-5)*60/(-18). Suppose -w - 1 = s, 8 = 2*s + w - l*w. What is the least common multiple of s and 5?
5
Suppose 0 = -5*f - 2*i + 2806, 0 = 5*i - 15. Calculate the common denominator of 87/20 and 5790/f - 2/(-7).
40
Let g = -22 + 50. Calculate the lowest common multiple of 22 and g.
308
Let a be (2/5)/(2/10). Suppose -x = -a*x + 2. Find the common denominator of x/((-24)/131) - -2 and -95/8.
24
Let m = 3/377 + -10185/754. Find the common denominator of -8/5 and m.
10
Suppose -5*r - 3*w - w + 63008 = 0, -37808 = -3*r - 4*w. Let x = r + -151055/12. Find the common denominator of 4/20 + (-18)/40 and x.
12
Calculate the smallest common multiple of 177/4 + -1 + (-9)/(-12) and 24.
264
Let i be (1 + 4)/(2/(-6)). What is the least common multiple of (36/10)/((-3)/i) and 10?
90
Let v = 11369/20 + -570. Find the common denominator of ((-78)/16 - -1) + 2 and v.
40
Suppose y = 4*a + 56, 0 = 5*a - 5*y + 2*y + 70. Let k be (3 - a)/(-1*1). Find the common denominator of k/(-36) + 2/(-8) and 41/6.
18
Let k = 3 - 0. Suppose -g = -k*m + g + 6, -2*g + 8 = 4*m. Find the common denominator of (-489)/(-210) + m/(-5) and 1/12.
84
Let j(s) = -6666*s - 5. Let z be j(4). Let y = z + 586829/22. What is the common denominator of (-222)/20 + (-2)/(-5) and y?
110
Let g(f) = f + 6. Let b be g(0). Let t be (-4 + b)*(2 - 4). Calculate the common denominator of (-80)/9*t/16 and -41/6.
18
Suppose t + 4*u - 16 = 0, t - 3*t + 18 = u. Suppose -4*b + 5*h = -75, 4*h + 1 = b - 15. Calculate the least common multiple of t and b.
40
Let l = 20321/6 - 3375. Find the common denominator of (-12)/78 + 228/(-546) and l.
42
Let i(c) = c + 14. Calculate the lowest common multiple of i(-2) and 3.
12
Suppose -2*u = -5*p + u + 92, 0 = -2*p + 2*u + 36. Let q = p - 11. What is the lowest common multiple of q and 8?
8
Suppose 0*y + 2*y + 213 = -5*q, -5*y - 567 = q. Let p = 81 + y. Let g = 107/13 - 2/65. What is the common denominator of p and g?
5
Let r = 66584 - 4394413/66. Find the common denominator of 5/24 and r.
264
Find the common denominator of 46/7 and (-10)/(-8) - 75/(-6).
28
Suppose -7 = 3*z + 4*a, -3*z - 11 = -0*z + 5*a. Let t(d) = -3*d. What is the least common multiple of t(-1) and z?
3
Let s = -27 + 67. What is the lowest common multiple of s and 6?
120
Let f = 329553/20 - 725541/140. Let b = 11290 - f. Find the common denominator of b and -37/18.
126
Let m = -44853666719/578 - -77601519. Let x = m - -4/289. Find the common denominator of (2 - 2) + (-22)/24 and x.
12
Let r be ((-8)/10)/(6/(-15)). Suppose 0 = z + r*z + 9. What is the common denominator of 4/3 and (-2)/(-6) + z/(-72)?
24
Let c be 18703/1032 + 0/2. Let t = c + 15/344. Let v = 30757/8 - 3855. Find the common denominator of t and v.
24
Let h = 3 + -6. Let a(y) = y**2 - y. Calculate the least common multiple of (-6)/(-2)*(-10)/h and a(2).
10
Let t(k) = -k**2 + 8*k - 3. Let v be t(7). Suppose -h - v = -7. Suppose 22 = m - 5*u, -h*m - 9 + 75 = -3*u. Calculate the least common multiple of m and 12.
132
Let z(q) be the first derivative of -q**3/3 + 2*q**2 + 3. What is the lowest common multiple of 9 and z(3)?
9
Suppose 0 = -3*l - 3*p + 6, l - 6 = -2*l + p. What is the lowest common multiple of (28/(-12) + l)*-3 and 11?
11
Let d = -219 - -114. Calculate the common denominator of 65/2 and (-4)/20 + d/(-10).
10
Let l be -3*(0 + 21/(-9)). Suppose -l = -2*g + 1. What is the smallest common multiple of g and 6?
12
Suppose 0*a = 4*a + 28. Let h be 621/4*358/a. Let j = 7936 + h. Calculate the common denominator of j and -59/6.
42
Let y = -2/7601 - 273598/144419. What is the common denominator of -43/3 and y?
57
Let g = -9/23 + -879/46. What is the common denominator of -44 and g?
2
Let w = 25 + -9. Suppose -2*k + 4*j = 8, 4*j + 0 - 2 = 5*k. Suppose -5*y - 8 = n, 2*y + w = 4*n - k*y. Calculate the least common multiple of n and 10.
10
Calculate the common denominator of 23/8 and -9*(465/(-36))/(-5).
8
Let v(u) = -u. Let b(c) = -3*c + 1. Let f = -7 - -8. Let a(s) = f*b(s) - 6*v(s). Calculate the lowest common multiple of 8 and a(7).
88
Let d(p) = p**3 + 5*p**2 + p + 6.