 -2*r**2 - 1. Suppose -4*a + 6 + 2 = 0. Let z be m(a). Let t(b) = -b**2 - 11*b - 11. What is the lowest common multiple of t(z) and 7?
7
Let w(u) = u**2 - u. What is the lowest common multiple of w(-2) and 4?
12
Let g(c) = c**3 - 7*c**2 + 6*c + 12. What is the lowest common multiple of g(6) and 30?
60
Let s = -177 + 185. Calculate the lowest common multiple of s and 33.
264
Let s = 44651/9 + -4967. Find the common denominator of s and 103/10.
90
Let m(d) = d**3 + 3*d**2 + 2*d - 2. Let f be m(-3). Let z = 2 - f. What is the least common multiple of z and 6?
30
Let y = 12 + -14. Suppose -2 + 0 = d - c, 0 = 4*d + 5*c - 28. What is the lowest common multiple of d and 15*(-2)/10*y?
6
Suppose 2 = -2*s + 2*i + i, 0 = 3*s + 3*i + 18. Let q be s/30 + 438/(-90). Find the common denominator of (-22)/(-4)*1/q and -21/10.
10
What is the common denominator of -89/36 and (-114)/132 - (-2 - (-22)/12)?
396
Suppose 3*k = -g + 4, 0*k + 4*k + 4*g - 8 = 0. What is the common denominator of (k/7)/((-3)/111) and -63/8?
56
Let o = -4787/4 - -1206. Find the common denominator of (-5 - (-176)/36)*-174 and o.
12
Let j = 3079/1705 - 2/341. Let l = 10471/7 + -1503. Calculate the common denominator of j and l.
35
Let n = 15 + -18. Calculate the common denominator of -9 + 7 + 59/n and -25/7.
21
Let v(n) = -n**2 + 17*n + 40. Calculate the lowest common multiple of 44 and v(18).
44
Let a(v) = -v**3 + 2*v**2 + v. Calculate the lowest common multiple of a(-1) and (48/9)/(2/3).
8
Suppose -4*k + 7512 = -3*k. Let v = -75191/10 + k. What is the common denominator of v and -23/12?
60
Let y be (-1)/3 - (-2117)/(-30). Let r = y + 75. Calculate the common denominator of 29/2 and r.
10
Let h(g) be the second derivative of -g**3/6 - g**2 - 2*g. Suppose 3*w = r + 2*w, -3*r - 5*w - 32 = 0. Calculate the lowest common multiple of 11 and h(r).
22
Suppose -5*o + 15 = 5. Suppose 0 = -4*c - 20, -j - o*c = c + 11. What is the least common multiple of j and 46/11 - 6/33?
4
Let q be 6/4*(-16)/(-12). Calculate the smallest common multiple of ((-3)/2)/(q/(-8)) and 18.
18
Let g(b) = b**2 + 5*b - 4. Suppose 0 = -t + 2*t. Let d(l) = l**3 - l**2 + 2. What is the smallest common multiple of g(3) and d(t)?
20
Suppose g - 2*g = -3. Let w(a) = a**2 - a + 3. Calculate the lowest common multiple of w(g) and 10.
90
Let v(y) = -y**3 + 11*y**2 - 7*y - 10. Suppose -l + 2*h = -3 - 1, l = -4*h + 10. What is the lowest common multiple of v(10) and l?
60
Let g = -47 - -50. What is the smallest common multiple of 3 and g?
3
Let g = -581021/50 + 11621. Find the common denominator of g and -29/5.
50
Suppose 5*b + 0*b = -10. What is the common denominator of 714/(-8)*b/30 and (-195)/(-36) + 1 + 2?
60
Suppose 13 = 5*t + 8. Calculate the least common multiple of t and 1 + 1/(2/20).
11
Suppose -j + 9 = -4*n - 15, -5*n = j + 21. Suppose 7 + 3 = h. Calculate the lowest common multiple of j and h.
20
Suppose 0 = -4*t - t + 35. Suppose t = -4*f - 17. Find the common denominator of f/(-9) - 125/(-24) and 19/4.
8
Let o(k) = k**2 + 15*k. What is the least common multiple of o(-18) and 4?
108
Let l be (2/2)/(4/8). Let a = -67959/41260 + -6/2063. Find the common denominator of 2/36 + l/(-6) and a.
180
Let r = -5 + 14. Let c(v) = v**2 - 8*v - 4. Let l be c(r). Suppose -l*t = -0*t - 50. What is the lowest common multiple of t and 16?
80
Suppose -y + 15 = 2*a, -a - y = -3*a + 9. What is the smallest common multiple of 60 and a?
60
Calculate the common denominator of 730/4*10/450 and 53/6.
18
Let z be ((-3)/2)/(3/6). What is the least common multiple of 8 and -5*(z + 1/(-5))?
16
Let s = 48 - 34. What is the common denominator of s and (-28)/36 - (-1 - -1)?
9
Suppose 16*u = 12*u + 424. What is the least common multiple of 6 and u?
318
Let w = -6 + 21. What is the smallest common multiple of w and 3?
15
Let a(v) = v**2 + 2 + 2*v - v + 0*v + 0*v. What is the common denominator of a(-2) and -27/7?
7
Let p = 5611/10 - 552. Find the common denominator of p and -1/36.
180
Suppose 4*w + 29 - 143 = -3*y, 4*w + 56 = 2*y. Calculate the least common multiple of 6 and y.
102
Let p(k) = -4*k + 2. Let u be p(-6). Let z = 20/21 + -50/21. Find the common denominator of z and (1/(-7))/((-2)/u).
7
Let g = 1940787/1370 - 7083/5. Let k be 4*(-3119)/274*1. Let s = k + g. Find the common denominator of 10 and s.
2
Let s(u) = -10*u - 2. Calculate the smallest common multiple of 10 and s(-2).
90
Let z be -2 + (0 - 1) + 2. Let k be -2 + 1/(z/(-9)). Suppose 13 = a - k. What is the least common multiple of a and 12?
60
Let j be -3 - -3 - 3 - -609. Let o = 2453/4 - j. Calculate the common denominator of o and 71/3.
12
Suppose -25*i = -26*i + 16. What is the least common multiple of 6 and i?
48
Suppose 3*r - 4*r - 2*t + 16 = 0, -3*t = r - 19. Calculate the lowest common multiple of r and 11.
110
Suppose -v = a + 1, 2*a = a - 2. Calculate the smallest common multiple of (-10)/(-3) - (3 + 16/(-6)) and v.
3
What is the common denominator of 55/70 + (-1)/((-7)/(-2)) and 7/11?
22
Let m = -3 + 6. Let r(g) = 8 + 6*g - 3*g**3 + 4*g**3 + 7*g**2 - m. Calculate the lowest common multiple of 10 and r(-6).
10
Let o = 18 + -12. Calculate the least common multiple of o and 5.
30
Let a = -507512/25 - -55631969/2800. Let b = a - -3016/7. What is the common denominator of b and (-2)/6 - 122/(-36)?
144
Suppose 2 - 8 = -2*d. Suppose 2*i - 100 = -d*i. Calculate the least common multiple of 22 and i.
220
Let a be (-3)/(2 + (-33)/12). Suppose 3 = c, y - c - 3*c = a. Suppose -16 = 15*n - 16*n. Calculate the least common multiple of n and y.
16
Suppose 4*s - 7*s = -15. Let f = s - 3. What is the least common multiple of 10 and f?
10
Let z = -21617/3628 - -1/21768. Calculate the common denominator of -35/4 and z.
24
Let q = 29 - 18. Let n(r) = -r**2 + 7*r + 1. What is the least common multiple of q and n(5)?
11
Suppose -w + 5 = 3*g - 2, -4*w - 4*g + 20 = 0. What is the lowest common multiple of 10 and w?
20
Let p = -40 + 22. Let q = 2697 - 75533/28. Find the common denominator of 6/(-20)*(-5)/p and q.
84
Let n(m) be the first derivative of m**2/2 - 5*m + 2. What is the smallest common multiple of n(7) and 6?
6
Let p = -69 + 162. Suppose -2*c + 2*v = -8, 0 = -c - 3*c - v - 4. Suppose -13 = 3*m + 2, c = -4*n + m + p. Calculate the least common multiple of 16 and n.
176
Let w = 859 + -9483/11. Calculate the common denominator of w and 2/3*(-282)/28.
77
Let y be (-136)/(-12) - 4/(-6). Suppose 2*u - y = 4. What is the smallest common multiple of 14 and u?
56
Suppose -2 = -2*w, 4 = -3*p - 2*w + 3*w. What is the smallest common multiple of 2 and 14/4 - p/2?
4
Let z(y) = -6*y**3 + 4*y**2 + 1 + 5*y**3 + y - 3. What is the lowest common multiple of z(4) and 8?
8
Let y(s) = s**3 + 2*s**2 - 7*s + 10. What is the least common multiple of y(-4) and 138?
138
Suppose -14 = -2*c - 4. Suppose 0 = 3*p - 8*p + 20. Calculate the smallest common multiple of c and p.
20
Suppose 2*d - 22 = -2*h, 0*d - 3*d + 12 = 0. Calculate the lowest common multiple of h and 6.
42
Let h(o) = o**3 - 10*o**2 - o + 7. Let l be h(10). Let t be l/(-4) - (-5887)/(-4). Let w = t - -5969/4. Find the common denominator of w and -32/5.
20
Let u = -10 - -20. Calculate the smallest common multiple of 2 and u.
10
Suppose -v - 22 = -3*v. Calculate the smallest common multiple of (-4)/8 + 22/4 and v.
55
Let u(i) = -i**3 - i**2 - i. Let x be u(-3). Find the common denominator of ((-1)/(-7))/(54/x) and -99/10.
90
Let g = -39923/8 + 4981. What is the common denominator of g and -67/14?
56
Find the common denominator of -53/18 and -1 - -2 - (158/(-56) + 2).
252
Suppose -5*b - 16 = -4*n - 7*b, -4*n + 5*b = -16. What is the lowest common multiple of n and 28?
28
Suppose -2*x - x = 12. Let l = x + 7. Let v(p) = -p + 2. Calculate the lowest common multiple of v(-2) and l.
12
Suppose 4*j = 703 - 159. Find the common denominator of j/(-14) - (-14)/7 and -59/9.
63
Let y = 16 + -12. Let a(v) = -v**3 + 8*v**2 + 4. Let g be 5/(50/(-16))*-5. Calculate the smallest common multiple of y and a(g).
4
What is the lowest common multiple of 7 and 6/(-15) + 4/((-40)/(-34))?
21
Let w = 20 + -16. Suppose 5*t - 9 = 3*h, -5*h + 2 = -w*h. Calculate the smallest common multiple of t and 4.
12
Let d(i) = -i**3 + 2*i**2 + 2*i + 4. Calculate the lowest common multiple of