ultiple of m and 4.
4
Let n(x) = x**3 + 10*x**2 - 2*x + 10. Let l be n(-10). Suppose l = 4*y + y. What is the lowest common multiple of 3 and y?
6
Let d = 19 - -10. Let p(b) = -b**2 + 4*b - 5. Let q be p(6). Let i = d + q. What is the least common multiple of 4 and i?
12
Suppose 4*t = 5*p - 3, 0*p + 9 = 3*p. Calculate the least common multiple of t and 4*(-3)/(-12)*9.
9
Suppose f + 9*f - 100 = 0. What is the smallest common multiple of 9 and f?
90
Let o = 1353 + -10799/8. What is the common denominator of 854/(-180) - (-2)/(-10) and o?
72
Suppose -18 = 5*h - 2*h. Let g = 7 + h. What is the least common multiple of g and (-1)/(-2)*(23 - 1)?
11
Suppose 0 = 2*p - 19 - 3. Suppose -k = -0 - p. Calculate the smallest common multiple of k and 5.
55
Calculate the common denominator of (-9)/3*39/15 and 31.
5
Let k(h) = -h**2 + 1. Let i(f) = -21*f**2 + 3*f + 18. Let a(d) = -i(d) + 18*k(d). Calculate the least common multiple of a(2) and 3.
6
Let k(h) = 1 - 9*h - 2*h + 0*h - 4*h. Suppose -m + 38 = -4*w + 99, 2*w = -m + 23. Calculate the lowest common multiple of w and k(-1).
112
Let q(o) be the second derivative of o**4/6 + o**3/6 - o**2 - 5*o. What is the least common multiple of 5 and q(-2)?
20
Let t be -2 + 1*(4 - 2). Suppose 0 = -4*j + n + 38, j = -t*j - n + 12. Suppose -2*h - 24 = -5*h. Calculate the lowest common multiple of h and j.
40
What is the lowest common multiple of (-130)/(-4) - 1 - 192/128 and 24?
120
Let y = 5111/1098 - -160/61. Calculate the common denominator of y and -39/8.
72
Let h = -80 + 159. Calculate the common denominator of -3/8 and (h/(-4) - -1) + 0.
8
Let f = -1 + 1. Suppose b - 3*b + 40 = f. Let i(h) = -2*h - 4. What is the least common multiple of b and i(-6)?
40
Let u be (-2)/(8/6 - 2). Suppose -u*m + 37 + 5 = 0. What is the least common multiple of m and 12?
84
Let h(x) = x**3 - 11*x**2 + 10*x + 5. Let t be h(10). Calculate the common denominator of (-2)/9 - 19/(-126) and (-226)/60 - 2/t.
42
Let a(h) = h**2 + h + 11. Let k be (-3)/12*2*-12. Let d = 6 - k. What is the least common multiple of a(d) and 5?
55
Suppose 3*i = -12, 0*n + i + 13 = 3*n. Suppose 2*p = -c, -3*c + n*p + 5 = -13. Calculate the least common multiple of 5 and c.
20
Let b = -1506 + 4457/3. Let f = 254 + -2601/10. Calculate the common denominator of b and f.
30
Suppose -4*f = -60 + 12. Calculate the smallest common multiple of 20 and f.
60
Suppose 2*a = -4*l + 27 + 5, 38 = 3*a + 4*l. Suppose 3*u - 15 = a. What is the lowest common multiple of u and 3?
21
Let f = -27 + 31. Calculate the lowest common multiple of 36 and f.
36
Suppose -3 = 5*k - 2*i + 2, 0 = 3*k + 2*i + 19. What is the lowest common multiple of 11 and (k/(-2))/(5/30)?
99
Let y(t) = 3506135*t - 8. Let z be y(-6). Let q = z + 420844777/20. Let l = q - 5425. Calculate the common denominator of l and -33/20.
20
Let u = 2/19393 - -96253/6903908. Let h = u - -2089/178. Let c = -3/217 + 716/217. Find the common denominator of h and c.
28
Let j = 13 + -7. What is the lowest common multiple of 9 and j?
18
Let x be -1 + 2 + -4 + 11. Let c be 2/x - 22/(-8). What is the common denominator of 75/8 and 2/c - 525/72?
8
Let n = 10 - 5. Suppose 0 = -n*b + 37 - 7. What is the lowest common multiple of b and 14?
42
Let l(v) = 2*v**3 + 4*v - 7. Calculate the lowest common multiple of l(2) and 7.
119
Suppose -p - 107 = -2*p - 2*i, 0 = -p + i + 98. What is the common denominator of 0 - -1 - 162/(-8) and 3 - 1/(9/p)?
36
Calculate the smallest common multiple of 2 and -3 - (-3 + 3) - -10.
14
Let a = 12 - 11. Calculate the smallest common multiple of 2 and a.
2
Let c = 16 - 8. Calculate the common denominator of 81/8 and (-212)/c + (-1 - -1).
8
Suppose 2*y = -0*y + 12. What is the common denominator of 13/2 and y/(-8)*(-11)/(-1)?
4
Let x(n) = -2*n - 2*n + 3 + 5*n. Suppose -5*t + 5*s = 0, -t + 16 = -2*t + 5*s. Calculate the lowest common multiple of t and x(0).
12
What is the common denominator of -14/9 and (-117)/6*(-1)/(6 - 0)?
36
Let u(a) = -363*a**2 - 3. Let k be u(-3). Let l = k + 32671/10. Calculate the common denominator of 111/20 - 22/(-55) and l.
20
Let h = -298 - -208. What is the common denominator of ((-51)/h)/((-6)/15) and -17/14?
84
Let g = -2250 - -20206/9. Calculate the common denominator of 107/10 and g.
90
Suppose -5*a = -3 + 128. Calculate the least common multiple of 10 and (3 + a)*1/(-2).
110
Let u(r) = -4*r**2 - 2*r - 3. Let l be u(3). Find the common denominator of (-474)/l*(-10)/(-8) and 25/22.
66
Let p = -20 + 91/3. Calculate the common denominator of p and -1/8.
24
Let l be (-3 - (-1 - 0))*-2. Suppose l*y + 6486 + 16670 = 0. Let i = y + 46235/8. Calculate the common denominator of 87/14 and i.
56
Let w = 10839/11 + -984. Calculate the common denominator of -51/11 and w.
11
Let v(w) = w**3 - 4*w**2 + w - 6. Let r(u) = -2*u + 1. Let i be r(-2). Let m be v(i). Suppose 5*a - m = 3*a. What is the smallest common multiple of 22 and a?
132
Suppose -2 + 37 = 7*i. What is the lowest common multiple of 7 and i?
35
Suppose 4*v - 40 = 5*i - 10*i, -v - 4*i + 10 = 0. What is the least common multiple of 10 and v?
10
Let o be 1/(197496/2789679) - 2. Let h = o - 2/8229. Calculate the common denominator of h and (6/20)/((-2)/(-105)).
8
Let w = 20 + -30. Let r be (-475)/w + (-1)/(-2). Suppose k + 3*k - r = 0. What is the lowest common multiple of 16 and k?
48
Suppose 18*g - 195 = 13*g. What is the smallest common multiple of g and 18?
234
Suppose 2*j + 3 = -1, -2*j - 1414 = -5*b. Let i = 3281/12 - b. Calculate the common denominator of i and -37/10.
60
Suppose -3*c = -4*c + 3. Suppose 0 = c*h - 2 - 4. What is the least common multiple of 4 and h?
4
Let p be (1005/9)/(-5)*-3. Suppose p = 2*f + 27. Calculate the common denominator of (f/(-48))/((-3)/(-38)) and 79/16.
144
Let m(x) = x**2 - 4*x. Let k be m(4). Suppose 0 = -k*l + 4*l - 48. Calculate the least common multiple of 16 and l.
48
Let y(q) = 5*q + 15. Calculate the least common multiple of 20 and y(5).
40
Let j be (-73)/4 + (-4)/(-16). Calculate the least common multiple of (j/8)/(21/(-56)) and 20.
60
Let i = -396382/183 - -2166. Let t = 1627/915 - i. What is the common denominator of -39/4 and t?
20
Let r = 4177/4 + -1061. Calculate the common denominator of r and 15.
4
Let a(d) = 9*d - 2. Let c(x) = -x**3 - 6*x**2 - x + 6. Calculate the least common multiple of a(2) and c(-6).
48
Suppose -2*r + 34 = -4*j, 0 = -6*j + 3*j - 4*r - 31. Calculate the lowest common multiple of 11 and j/4*16/(-6).
66
Let d = 23/3 - 235/33. Suppose 38 = 5*j - o, j + o - 14 = -2*o. Calculate the common denominator of j and d.
11
Suppose -4*t - d + 43 = 0, 4*t - 6 - 40 = 2*d. Calculate the lowest common multiple of 5 and t.
55
Suppose -3*l + m + 46 = 3*m, 0 = 2*l - 2*m - 34. What is the smallest common multiple of 6 and l?
48
Suppose 9 - 189 = -2*s. Let k = -14206/969 - 2/323. Calculate the common denominator of k and 4/18 - 461/s.
30
Let s = -3 + 3. Suppose 0 = -s*f - f + 18. Let i(j) = 2*j**2 - 3*j - 3. What is the smallest common multiple of f and i(3)?
18
Let r = 57 + -50. Calculate the smallest common multiple of r and 8.
56
Let n = 2330 - 32507/14. Calculate the common denominator of n and 6/8*(-170)/54.
252
Suppose 3 = 5*j - 27. Calculate the smallest common multiple of 10 and j.
30
Let x be (-1 + 2)*0*-1. Suppose -5*r = 2*a, 2*a + a - 4*r - 46 = x. Suppose -3*q + a = -q. Calculate the lowest common multiple of q and 7.
35
Suppose 0 = -20*t + 24*t + z - 15, -13 = -3*t + z. Suppose a = -0*a + 8. What is the least common multiple of a and t?
8
Let n(g) = -g + 17. What is the least common multiple of 9 and n(9)?
72
Suppose -3*l = -l - 10. Let i(k) = k**2 - 3*k - 4. Calculate the lowest common multiple of 18 and i(l).
18
Suppose 4*t - 2 - 14 = 0. Calculate the lowest common multiple of 9 and t.
36
Let r be (-99244)/(-40) + -1 + 2. Let t = -2479 + r. Calculate the common denominator of t and (-2)/1 - (-86)/44.
110
What is the lowest common multiple of ((-24)/(-10))/((-36)/(-15) + -2) and 6?
6
Find the common denominator of (-34)/48 - (0 - -1) and 65/2.
24
Let p(b) = -b + 1. Let z(h) = 4*h + 7. Let v(j) = 5*p(j) + z(j). Let u be v(9). Let q = u - 1. What is the lowest common multiple of 14 and q?
14
Let m be 124035/(-24) + (-2)/4. Let a = 5162 + m. Let k = 92231/132 - 7608