*3 + 3*p**2 - 2*p - 2. Let t be z(-3). Let g = t + 18. Let d = -12 - -18. Calculate the least common multiple of d and g.
66
Suppose 0 = -2*m - 3*z - 6, 0 = -5*m - 3*z - 2 + 5. Calculate the lowest common multiple of (-3 + 1 - -3) + m and 16.
16
Let i = 63 - 39. Calculate the least common multiple of i and 18.
72
Let m be 100/7 - 14/49. Find the common denominator of -93/28 and 241/(-60) - m/(-21).
140
Let r = 40 + -22. Let v be (-23)/(-2) + 2/(-3). Let a = v + -173/15. Calculate the common denominator of r and a.
10
Find the common denominator of (-2)/3 + 815/210 and -76/3.
42
What is the common denominator of ((-87)/(-8) + -1)*1 and 87/90 - (-8)/(-10)?
24
Suppose 4*x + 584 = -4*v, 4*v - 298 = -0*x + 2*x. What is the common denominator of ((-15)/12)/(44/(-16)) and (x/(-8))/3 - 0?
88
Let t(p) = -p + 20. Calculate the smallest common multiple of 9 and t(14).
18
Suppose -4*j = 4*a, -5*a - 2*j - 2 = -5. Find the common denominator of 39/(-16)*(a - 3) and (-258)/(-60) + 2/10.
8
What is the common denominator of (-2)/8 - (-25)/(-44) and 9/(1*(-9)/12)?
11
Let i be (-4)/(-10) - 14/35. Suppose i*g - 4*g = -72. Calculate the least common multiple of 6 and g.
18
Suppose 5*q - 20 = -0*q. Let o = q + 0. Let m = -14 + 22. What is the smallest common multiple of o and m?
8
Find the common denominator of -65/4 and 2 - (-159)/(-64) - (-3)/6.
64
Let g = 21 + -5. Calculate the lowest common multiple of g and (-7 + (1 - 1))*-2.
112
Suppose 0 = -5*x - 2*q - 302, 8*x = 3*x - 4*q - 304. Find the common denominator of 115/14 and 183/x - (-1)/(-5).
28
Let p(t) = -t**2 + 8*t - 4. Let s(g) = 3*g**3 - 2*g**2 + 1. Let m be s(-1). Let c = 10 + m. Calculate the smallest common multiple of p(c) and 3.
24
Let o be (-9 + -1)*(-32)/10. Suppose 5*p - 3*r - o = 0, 2*r - 4 = -4*p - r. Calculate the lowest common multiple of p and 14.
28
Suppose 3*h = x - 0*h + 7, -3*x - 2*h + 1 = 0. Let w = x + -6. Calculate the common denominator of w*(1 + (-30)/4) and 28.
2
Let h(i) = i**2 + 4*i + 8*i - 2*i + 11 - 2*i**2. What is the smallest common multiple of 10 and h(10)?
110
Let a = -98079/18809 - -1/5374. What is the common denominator of a and -27/8?
56
Suppose -5*h + 3*p + 100 = 7*p, 0 = 3*h + p - 53. Calculate the smallest common multiple of h and 12.
48
Suppose 0 = -h + 2*t + 5 + 17, 68 = 4*h - 3*t. Let a = 56 - 36. Calculate the lowest common multiple of a and h.
140
What is the common denominator of -15/4 and (12/8)/(15/(-475))?
4
Find the common denominator of 10/6*(-45)/240 and -9/2.
16
Let w = 567/4 + -2217/16. Find the common denominator of w and -40.
16
Let f = -4949/12 - -412. Calculate the common denominator of -1/7 and f.
84
Let l be (-1)/((-3)/12*1). Suppose -l*r + 20 = r. What is the least common multiple of r and 20?
20
Let t(v) = 142*v - 5. Let c be t(9). Let k = -12821/10 + c. Calculate the common denominator of ((-3)/(-8))/((-18)/21) and k.
80
Let a = -825513491/234 - -3527830. Let c = -54/13 - a. Find the common denominator of c and 230/32 + 9/(-3).
144
What is the common denominator of -70/3 and 38/6*(-119)/(-34)?
6
Suppose -6*x + 0*x = -66. What is the smallest common multiple of x and 1?
11
Suppose -11 + 4 = 5*l - 2*f, 0 = l - f - 1. Let m(c) = c**3 + 3*c**2 - c - 1. Let x be m(2). Let k = l + x. What is the least common multiple of 18 and k?
126
Let h = -328 + 5933/18. What is the common denominator of -61/32 and h?
288
Calculate the lowest common multiple of 8 and (-423)/(-39) - 14/(-91).
88
Let k be 12*(-3 - (-17)/4). Let v = k - 11. Calculate the least common multiple of 3 and v.
12
Let i(q) = q**3 - 5*q**2 + 2*q. Let b = -8 + 13. Suppose b - 2 = g. What is the least common multiple of g and i(5)?
30
Suppose -j = -1 - 6. Suppose f - j = 3. Calculate the least common multiple of 10 and f.
10
Let z = 6 - -2. Calculate the smallest common multiple of z and 12.
24
What is the lowest common multiple of 0 - (-21 + 3)/2 and 18?
18
Let g be 1/(-4)*-6*-2. Let w be 68842/(-40) - (5 + g). Let z = 1724 + w. What is the common denominator of z and -125/6?
60
Let u be (-8)/(-4) + -14 + 3. Let h(b) = -b**3 - 8*b**2 + 7*b - 9. What is the smallest common multiple of h(u) and 1?
9
Let g(w) = 2*w - 3. Let x be (24/(-32))/(1/(-4)). Calculate the least common multiple of g(x) and 10.
30
Suppose -2*v + 24 = -20. Suppose 0 = 2*x + 5*a - 7 + 1, 2*x = -2*a. Let h = 6 + x. What is the least common multiple of h and v?
44
Let m = 3539 - 92003/26. What is the common denominator of 65/12 and m?
156
Let p = -21 - -22. Calculate the lowest common multiple of p and 5.
5
Suppose 0 = 8*n - 2*n - 132. Calculate the least common multiple of 8/1 - 1 - 1 and n.
66
What is the least common multiple of 8 and (-25)/10*2 - -33?
56
What is the common denominator of 1016/(-180)*(-5)/4 and 172/6*(-2)/(-16)?
36
Suppose 5*u = -2*f - 132, 23 = -f + u - 36. What is the common denominator of 2/1*f/4 and 27/20?
20
Suppose 0 = 2*f - 7*f + 20. Suppose 0 = -4*t - 2*d + f, -4*d + 18 = -2*t - 0*d. Let b = 4 - t. Calculate the least common multiple of 8 and b.
40
Let c = -16216/9 - -1798. Find the common denominator of c and ((-12)/(-11))/(-1*15/(-40)).
99
Find the common denominator of 73/4 and (3/18)/(10/(-309)).
20
Suppose 5*g - 5*h = -0*h - 17375, -3*g - 10421 = -2*h. Let y = 76413/22 + g. Calculate the common denominator of -2 - -8 - 87/6 and y.
22
What is the least common multiple of (-3 - 18/(-10))/(4/(-40)) and 18?
36
Calculate the smallest common multiple of 16 and (36/(-10))/(9/(-45)).
144
Let s = 61 + -34. Let a = -17 + s. Let p(o) = -o**2 - 8*o - 2. What is the least common multiple of a and p(-7)?
10
Let f(g) = -g**3 + 11*g**2 + 12*g. Let o be f(10). Suppose 4*i + i - o = 0. Calculate the smallest common multiple of 18/(-27) + i/3 and 10.
70
Suppose 2*r = -4*u, 1 = -u - 0*u. Suppose -3*k + r*k + 6 = 0. Suppose -2*z - 2*z = -3*b - 4, 4*b = 5*z - 4. What is the lowest common multiple of b and k?
12
Let q be (-6)/(-9)*33/2. Let j = q - 7. What is the smallest common multiple of 2 and j?
4
Suppose -4*h + 23 = -53. Suppose -4*f = -h - 5. What is the smallest common multiple of 5 and f?
30
Calculate the common denominator of (-3)/(20/26 + 0) and (2/8)/((-18)/452).
90
Suppose 3*y - 4 = 2*y. Suppose -2*b + 44 = y*v, b - 32 = -3*v - b. What is the smallest common multiple of (1*30)/(3/2) and v?
60
Let u(f) = 14*f**3 - f**2 + f. Let q be (-20)/3 + 4/6. Let h(m) = m**3 + 5*m**2 - 9*m - 6. What is the least common multiple of h(q) and u(1)?
84
Suppose -38 = 5*t - 2*h + 32, 70 = -5*t - 3*h. Let r = -5 - t. Calculate the smallest common multiple of 2 and r.
18
Let g = -4731/548 - -9/1096. Let m = 30971/84 - 2634/7. Calculate the common denominator of m and g.
24
Let q(t) = t**2 - 4*t + 6. Let c be 2/(-5) + 27/5. Suppose 0*b + 2*b + 1 = 3*x, c*x = 15. What is the least common multiple of q(b) and 16?
48
Let r = 35407/6 - 5888. Calculate the common denominator of 44/27 and r.
54
Let b be 216/45 - (-8)/(-10). What is the least common multiple of b/30 + (-888)/(-90) and 11?
110
Suppose -c = -0*c + 5. Let t(n) = -n**2 - 6*n - 4. What is the least common multiple of (-34)/(-6) - 1/(-3) and t(c)?
6
Let p be 3 + (-2)/1 + 0. Let k = p - -1. What is the lowest common multiple of k and 18?
18
Suppose 3*i = -5*r, 0*i - 3*i = 3*r. Suppose r = 2*c - 4. What is the least common multiple of c and 6?
6
Let j(b) = b**3 - b**2 + b - 3. Suppose 60 = -0*y + y. Suppose 5*w - y = 30. What is the least common multiple of w and j(3)?
18
Let y = 6 + -3. Suppose 2*r = -s + 15, 4*s - y*s + 1 = 2*r. Let f(x) = x**3 - 8*x**2 + 2*x - 6. Calculate the lowest common multiple of s and f(8).
70
Suppose 0 = -2*i + 2*a + 4 + 4, 4*a = 3*i - 14. Let d(s) = s**2 - 6*s - 1. Let j be d(6). Calculate the least common multiple of (-21)/(j*3) + 2 and i.
18
Calculate the smallest common multiple of -4 - -2 - (-5)/1 and 3.
3
What is the common denominator of 29/24 and ((-18)/32)/((-30)/460)?
24
Let i be (-3)/5*6296/108. Let l = i + 166/5. What is the common denominator of l and 2/3?
9
What is the common denominator of 61/14 and -1 - (-21)/30 - 3?
70
Suppose -x + 0*x = -4. Suppose -3*z - 12 = -3*f, f = -0*f + 4. Suppose -4*b = -z - 12, -3*a = -b. What is the least common multiple of a and x?
4
Suppose 5*q - 8 = 4*q. Let l(i) = 3*i - 8. Calculate the smallest c