 -67544/385323. Let q = b - -1944/515. Calculate the common denominator of 1/9 and q.
45
Suppose 0 = -5*v - 20, i = -0*i + 3*v - 27. Calculate the common denominator of -37/11 and i/(-1) - 9/(-3).
11
Calculate the common denominator of -13/3 and 1/(-2 + (-93)/(-36)).
21
Calculate the common denominator of -62/5 and ((3 + -5)/(-2))/(26/106).
65
Suppose 110 + 26 = 4*f. Calculate the least common multiple of 10 and f.
170
Let m = 4 + -6. Find the common denominator of ((-9)/22)/(m/(-16)) and 97/4.
44
Let f = -1/5603 + 633151/67236. Calculate the common denominator of f and -61/18.
36
Let a be 0 + 0 - (-154706)/(-28). Let b = 5543 + a. Let u = b + -18. What is the common denominator of -3/2 and u?
14
Let h = 22/375 + -2551/3000. Find the common denominator of h and 91/36.
72
Let v = 57725753/37706 + -26026/17. Let p = v + -6889/5023770. Let x = p - 115523/9060. Find the common denominator of -79/8 and x.
8
Let k = -10 + 12. What is the smallest common multiple of k and 40?
40
Let i(n) = -6*n + 6. Let v be i(-5). Suppose -v = -5*k + 19. Find the common denominator of (-2692)/(-528) + (-2)/k and -47/18.
36
Let q = -7 + 16. What is the least common multiple of 2 and q?
18
Let t = -5 + 21. Let k(v) = 8*v - 1. Let j(i) = -i + 1. Let w(h) = j(h) - k(h). Calculate the smallest common multiple of w(-2) and t.
80
Suppose 5*k - 3*z = -7*z + 2578, 0 = -5*k - z + 2572. Let d be 3/(-7)*7174/(-6). Let c = k - d. What is the common denominator of 71/9 and c?
63
Let g(x) = 2*x**3 - 11*x**2 + 6*x. What is the smallest common multiple of g(5) and 7?
35
Suppose 5*w = -0*s - 2*s + 11, -s - 8 = -2*w. Let p = -13 - w. Let f = 28 + p. What is the least common multiple of f and 16?
48
Suppose -c = 2*j - 8, 3*c = j - 0*j - 4. Suppose j*s - 17 = r, -s + 6 = -4*s - 3*r. What is the least common multiple of 3 and s?
3
Let p be 6 - (2 + 1 + -1). Suppose 0 = -2*x + 4, -3*x = p*d + 338. Calculate the common denominator of d/(-6) - 1/(-2) and 1/4.
12
Let g = 7 + 3. Let h be 1 + (1 - 2) + 3. Suppose -h*k + 8 + 10 = 0. What is the least common multiple of k and g?
30
Suppose -h + 18 = 2*h. What is the least common multiple of 10 and h?
30
Let s = 8 + -10. Let l(m) = m**3 + 4*m**2 - 2*m - 2. Calculate the lowest common multiple of 3 and l(s).
30
Suppose -9*h - 96 = -11*h. Let x = h - 26. Let l(r) = 14*r**2 + r + 1. Calculate the smallest common multiple of x and l(-1).
154
Let c = 917 + -16637/18. Find the common denominator of 127/12 and c.
36
Suppose 2*u - 13 = 1. Let y = u - -9. Let v = -10 + y. Calculate the lowest common multiple of v and 18.
18
Let t(j) = -j**3 + 5*j**2 - 4*j + 5. Let b be t(4). Suppose 0 = -0*g - b*g + 45. What is the least common multiple of g and 5?
45
Suppose 0 = 4*i + 4*w + 20, -18 = -i + 6*i - 2*w. Let x(g) = g**2 + g. What is the lowest common multiple of 18 and x(i)?
36
Suppose 2*n = n - 1. Let q be 41/4 - n/(-4). What is the common denominator of -65/4 and (-427)/20 + (-4)/q?
4
Find the common denominator of (-1158)/396 + (-8)/(-6) and 89/28.
308
Let b = 411/770 - -2/35. What is the common denominator of 77/12 and b?
132
Let m = -2377 + 18993/8. What is the common denominator of m and 2 - (-2 + 9/(-8))?
8
Let q(c) = 19*c - 22. Let o(i) = 9*i - 11. Let d(b) = 13*o(b) - 6*q(b). What is the least common multiple of 4 and d(7)?
20
Let z = 3360281/666006 - -1/30273. Find the common denominator of 99/20 and z.
220
Suppose 79 = 3*p + 19. Let x(i) = 7*i - 1. Let t be x(-2). Let r = -5 - t. What is the least common multiple of r and p?
20
Let q = 59396/23093 + -2/3299. Let o be (0 + 1 + 0)*2. Suppose -2*d - o*h = -h + 47, 5*h + 53 = -3*d. Calculate the common denominator of q and d.
7
Suppose -50 = 27*o - 32*o. Suppose -3 - 3 = -2*r. Calculate the lowest common multiple of r and o.
30
What is the common denominator of 73/2 and (-2)/(-9) - 665/(-693)?
22
Let g(w) be the third derivative of w**4/24 + 4*w**2. What is the smallest common multiple of g(2) and 4?
4
Let v(w) = w. Let g be v(8). Let q(i) = i**3 - 11*i**2 + 10*i + 2. Let d be q(10). Let j = d + g. What is the smallest common multiple of 14 and j?
70
Find the common denominator of 4/(-2) - (-5 + 3) and -71/2.
2
Calculate the lowest common multiple of (-11)/(-6) + (-3)/(-18) and 22.
22
Suppose -2*m = -m + 22. Calculate the common denominator of -31/13 and m.
13
Let z be (3 + -17)/(1/15). Let k = -5/18 - 173/9. Find the common denominator of k and (z/(-4))/(-5) + -3.
2
Let l(t) = -t - 1. What is the lowest common multiple of l(-3) and 5?
10
Let z(x) = -x**2 - 3*x + 4. Let s be z(-5). Let n = 18 + -2. Calculate the lowest common multiple of ((-40)/s)/((-4)/(-6)) and n.
80
Suppose -2*s + t - 1 = 6, 0 = -2*s + 2*t - 10. Let f(q) = 45*q**3 + q**2 - 4*q - 3. Let m be f(s). Find the common denominator of -32/3 and (-2)/(-4) - m/30.
15
Suppose 3*c + 3*r = -6, -2*c - 20 + 4 = 5*r. Suppose -c*m = -m. Let k = m - -1. Calculate the lowest common multiple of 10 and k.
10
Find the common denominator of (-1085)/(-150) - 3/(-5) and (2/(-18))/((-4)/(-116)).
18
Let f = -110/13 - -271/52. Calculate the common denominator of f and -21/4.
4
Let y = 1433/2 - 703. Calculate the common denominator of y and 57/5.
10
Suppose 0 = q - 4*b - 6, b + 4 + 5 = -q. Calculate the least common multiple of 42 and q/8 + 201/12.
336
Suppose -r + 36 = 3*w, r + 2*w - 36 = -3*w. What is the smallest common multiple of -5*(r/(-5))/2 and 10?
90
What is the common denominator of 85/2 and -1 - 82/(-66) - -1*2?
66
Suppose 7*x = 13 + 1. Calculate the lowest common multiple of x and (1 + -1 + 1)/1.
2
Let x = 29 + -21. What is the least common multiple of 5 and x?
40
Let c = 1986/7 - 551/2. Calculate the common denominator of c and -3 - (-2)/(24/14).
42
Let l = 2291 + -9211/4. Let h = 16727/3 - 5624. Let s = h + 58. What is the common denominator of s and l?
12
Suppose 34 = -2*o - 4*b, 3*b - 2 = 2*o - b. Let y = o - -17. Suppose h - 16*h = -60. What is the smallest common multiple of h and y?
8
Let i = 7 - 6. What is the smallest common multiple of 3 and i?
3
Suppose 0 + 20 = 5*y. Suppose -1 + 17 = y*a. Suppose -r - a*b = -16, -2*r = r - b - 9. What is the lowest common multiple of 8 and r?
8
Let z = 3037/15 + -939/5. Calculate the common denominator of -9/50 and z.
150
Suppose -2 = 4*b + 5*t, 3*b + b = -t - 10. Let a(d) = 20*d + 2. Let u be a(b). Let m = -40 - u. Calculate the least common multiple of m and 22.
198
Let r(j) = -3*j**2 - 15*j - 14. Let t be r(-7). Let g(o) = -2*o. Calculate the least common multiple of g(-1) and (-16)/(-12) - t/3.
20
Suppose -2*j + 1 = -1. What is the smallest common multiple of 16 + -2 + 2/j and (-69)/(-5) + 6/30?
112
Suppose o + 2*m - 22 = 0, -3*o + 0*m + 59 = -m. Suppose -o = -0*v - v. Calculate the smallest common multiple of v and 12*(1 - (-2 + 2)).
60
Let x be ((5 - 3) + -7)*-17. Suppose -4*g - x - 103 = 0. What is the common denominator of -53/10 and g?
10
Let q = -116399/30 - -3881. What is the common denominator of 1/21 and q?
210
Let u(s) = -s - s + 6*s + 2 - s**2. Let f be u(4). Suppose 5*x - 21 = 2*n, 4*n + 2*x - 14 = f*n. Calculate the smallest common multiple of n and 8.
8
Let f be 9 + (6/(-2))/1. Let q(y) = -8*y + 15*y + 4 - f. What is the smallest common multiple of q(2) and 20?
60
Let i be (-3)/2*(-4)/3. Let w be 166/18 - i/9. Calculate the common denominator of -57/10 and ((-55)/24)/(6/w).
80
Let v(y) = -y**3 + 5*y**2 + 2*y - 6. Suppose g - 4 = 0, -3*s + 4*g - 2 - 8 = 0. Suppose s*b - 5 - 3 = 0. Calculate the lowest common multiple of v(b) and 2.
18
Let m(l) = -l**2 - 17*l - 13. Calculate the lowest common multiple of m(-16) and 3.
3
Let h = -11561/60 + 938/5. What is the common denominator of h and -39/14?
84
Calculate the common denominator of -81/16 and (24/(-1224))/((-2)/(-201)).
272
Suppose -v - 28 = -3*v. Suppose 2*a = 3*a. Suppose -3*b + 45 - 9 = a. What is the smallest common multiple of v and b?
84
Let p = -1/674 - 11793/1348. Calculate the common denominator of (-62)/(-12)*(-6)/20 and p.
20
Let n(t) = -t**3 + 7*t**2 + 7*t + 8. Let j be n(8). Let v = j + 5. Calculate the least common multiple of 6 and v.
30
Calculate the common denominator of 23/7 and 16/(-1)*4/(-9).
63
Suppose 0 = 5*p - 6047 + 17222. Let h = p - -24557/11. What is the common denominator of -44/3 and h?
33
Let v be 4/26 -