g, 3*g - 2 - 8 = l. Calculate the common denominator of 117/10 and (-635)/200 + l/(-10).
40
Suppose -f = 1353 + 1884. Let z = f - -51871/16. Calculate the common denominator of 2 + -2 + (-68)/(-32) and z.
16
Suppose 0 = -5*w + 61 + 34. Calculate the lowest common multiple of w and 10.
190
Let x = 221/44 + -3/11. Let i = -1171/10 + 231/2. Find the common denominator of x and i.
20
Let p(h) = 2*h - 4. Suppose -10 = 5*d - 4*x, -5*d - 4*x + 20 = -2*x. What is the smallest common multiple of p(8) and d?
12
Let z(p) = p**2 + p. Suppose -3*t + 43 + 11 = 0. Calculate the lowest common multiple of z(2) and t.
18
Calculate the least common multiple of 31/3 - (8/6)/(-2) and 7.
77
Let k = -15754 - -252151/16. Let x = -2367147295/176 + 13449652. Let p = 525/11 + x. What is the common denominator of p and k?
16
Suppose 2*n = -2 - 2. Let w(t) = -4*t + 2 + 3*t + 0*t. What is the least common multiple of 4 and w(n)?
4
What is the common denominator of (-94*1/(-6))/(2 + 1) and -18/7?
63
Let p = 10779/130 - 1152/13. What is the common denominator of -17/19 and p?
190
Find the common denominator of 68/69 and ((-1)/(-6))/(336/114 + -3).
138
Suppose 25 = -2*n - 3*n. What is the common denominator of (-2)/60 - 1/n and -121/12?
12
Let b = -171206581/16070 - -53269/5. Let p = 49841/25712 + b. Find the common denominator of p and -131/12.
48
Let x = -3235/4 - -821. Let w = 737 - 697. Find the common denominator of w and x.
4
Let t be 3*2/(-3) - -14. Suppose 20 + t = a. Let k = -27 - -49. What is the least common multiple of k and a?
352
Let m(n) = -n**2 + 7*n + 1. Let j be m(7). Suppose -5*o = -9 - j. Suppose -11 = -o*r + r. What is the lowest common multiple of r and 3?
33
Let z(u) = u**2 - 6*u + 6. Let b be z(5). Suppose -p + 23 - b = 0. Let l = -5 + 13. Calculate the smallest common multiple of p and l.
88
What is the common denominator of -44/7 and (1 - -1) + (-15)/540?
252
Suppose 0 = 5*q - 0*q - 5. Suppose -x = -5 + 1. Calculate the lowest common multiple of x and q.
4
Let r(x) = -3*x**3 - 10*x**2 - 5*x + 18. Let y(w) = -w**3 + w**2 + w + 1. Let d(l) = r(l) - 2*y(l). Calculate the common denominator of 67/2 and d(-11).
2
Let y(h) = -3*h - 2 + 1 + 4*h. Let j = -23 + 32. What is the lowest common multiple of j and y(3)?
18
Let p = -99/98 + -2885/588. Calculate the common denominator of p and -37/14.
84
Let x(j) = -j + 52. Let i be x(0). Let g = 159/4 - i. What is the common denominator of g and 27/44?
44
Let a be (-4)/(-22) + 341/121. Suppose 0 = a*k - 50 + 17. Calculate the smallest common multiple of k and 3.
33
Let g(q) = 4*q - 1. Let u be g(1). Let n = u + -5. Find the common denominator of 17/9 and n/(42/(-9))*5.
63
Calculate the common denominator of 23/14 and (58/(-6))/((-18)/(-36)).
42
Let o = 251/42 - 10/21. Let d = -13457/8 - -1675. Calculate the common denominator of d and o.
8
Let t(o) = o**2. Let r be t(0). Let m(q) = q**3 - q**2 + q + 2. Let l be m(r). Suppose -s - l*s = -18. Calculate the smallest common multiple of s and 4.
12
Suppose 0*x + 22 = x. Calculate the least common multiple of 8/(-10)*(6 - 11) and x.
44
Calculate the lowest common multiple of 2 and 202/10 - (-3 - 96/(-30)).
20
Let b be (6/4)/(6/8). Suppose 4*y - b*u - 31 = u, -3*u = 2*y - 11. What is the lowest common multiple of y and 6?
42
Find the common denominator of (5 + (-135)/20)*-1 and 41/16.
16
Let p = -93/46 - 751/368. Calculate the common denominator of 7/4 and p.
16
Let q = -3/83 - -12053/498. Let k = 16827/176 - 1062/11. Find the common denominator of k and q.
48
Calculate the smallest common multiple of 6 + (-4)/6*3 and 9.
36
Let l = -10 + 5. Calculate the common denominator of 24/2 - (-3)/(-12) and 81/4 + l/(-10).
4
Suppose 7*t = 2*t + 60. Calculate the least common multiple of t and 2.
12
Let q be ((-28)/(-10))/((-88)/30). Let x = q + -15/88. Calculate the common denominator of -33/20 and x.
40
Let d = 14 - 10. What is the least common multiple of ((-3)/(-4))/(1/d) and 4?
12
Let q(h) = -6*h**3 - h - 1. Let s(v) = -2*v**2. Let n be s(1). What is the least common multiple of q(-1) and (-13)/n - (-2)/(-4)?
6
Let t = -2978/255 - -1/85. Find the common denominator of t and 119/18.
18
Suppose 5*p - 2*p = 15. Suppose 40 + 0 = 4*j. Let s = j - p. What is the smallest common multiple of s and 1?
5
Suppose 2*q = -2*i + q + 20, 5*i - 5*q = 20. What is the smallest common multiple of 16 and i?
16
Let r = 8 - 7. Let m be (-1 - 5) + r - -1. What is the common denominator of (-166)/(-16) - (m + 5) and 61/18?
72
Let j = 5 - 0. What is the smallest common multiple of j and 14?
70
Let y(k) = -k**3 - 12*k**2 + 14*k + 15. Calculate the lowest common multiple of y(-13) and 8/6*(2 - -10).
16
Suppose 3*r - 2 - 7 = 0. Let z(h) = -11*h**3 - r + 0*h**2 - 2*h**2 + 2 - 2*h. What is the smallest common multiple of z(-1) and 16?
80
Suppose 2 + 26 = 2*o. Let j = -10160/7 + 223933/154. Calculate the common denominator of j and 101/o - (4 - 2).
154
Let s = -6 - -5. Let z(j) = -1 - j**3 - 2*j**3 - 8*j**3. What is the lowest common multiple of z(s) and 1?
10
Let x = -2 + 6. Suppose x*g = -3*d + 21 + 23, 3*d = -5*g + 49. Let n = -317/232 - -7/29. What is the common denominator of d and n?
8
Suppose 3*s + q = 25, 7 - 37 = -4*s - 2*q. Let j = 34 - -6. Find the common denominator of s and 1 - (3 + (-564)/j).
10
Suppose 2*b - 5 - 5 = 0. Calculate the lowest common multiple of b and 10.
10
Let f(m) = m - 2*m - m**3 - 2*m**3. Calculate the lowest common multiple of f(-1) and 19 + -2*1/2.
36
Let f = 8307 + -13755. Let g = 3110 + f. Let n = g + 9259/4. Find the common denominator of n and 31/9.
36
Let a(b) = 3*b**2 - 2*b + 3. What is the lowest common multiple of 44 and a(3)?
264
Let r(g) = 2*g**2 - 8*g - 4. Let x be r(6). Suppose z - x = -z. Suppose 3*n - 11 - 37 = 0. What is the smallest common multiple of z and n?
80
What is the common denominator of ((-13)/(-30))/(1/3) and -21/4?
20
Let k be (0/2 - 2) + 2. Suppose -12*r + 7*r + 55 = 0. Suppose b = -k*b + r. Calculate the least common multiple of b and 2.
22
Suppose -2*p = -20 - 0. What is the least common multiple of p and 9?
90
Suppose 3*n = 2*n + 6. Suppose 5*w - 28 = m - 9, -4*m + 3*w - 8 = 0. What is the smallest common multiple of m and n?
6
Let v(j) = j**2 + 7*j + 9. Suppose -5*l - 29 = -2*l - 2*h, -36 = 4*l - 2*h. What is the smallest common multiple of 6 and v(l)?
18
What is the smallest common multiple of 14 and (-24)/9*(-54)/24?
42
Find the common denominator of 53/12 and -3 + 1 - (-111)/(-72).
24
Let l(b) = b + 1. Let r be l(1). Suppose 4*u + 42 = r*z + 3*z, -5*z + 40 = -5*u. Let s = 45 + -33. Calculate the least common multiple of z and s.
60
Suppose 3*t - 4788 = -0*t. Let g = -733057/4 + 184851. Let z = g - t. Calculate the common denominator of 7 and z.
4
Let q = 10 + -4. Suppose -4*f + 16 = -2*f. What is the lowest common multiple of q and f?
24
Let y be (-5)/((-70)/564) + -1. Let c = 2915/84 - y. Calculate the common denominator of 369/30 + (-15)/5 and c.
60
Let r be (-2)/(-3) - (-80)/15. Suppose m - r*m = -45. Let o = -14 - -24. What is the smallest common multiple of o and m?
90
Let l = 3/39182 + 10578981/2076646. Let f = l - -1237/371. Let g = 22381/6 + -3743. Find the common denominator of f and g.
42
Suppose 1 = -x - 1. Find the common denominator of -1 + x - 97/(-10) and 37/8.
40
Let q = 15527/11 - 1409. Calculate the common denominator of 49/10 and q.
110
Let y = 5775 + -34793/6. Calculate the common denominator of y and 65/8.
24
Suppose -197 = -3*s - 41. Suppose -i + 11 = -1. Calculate the lowest common multiple of s and i.
156
Let l(f) = 2*f + 4. Let h = 3 - 8. Let d be l(h). Let s(r) = r**2 + 5*r - 4. What is the smallest common multiple of 8 and s(d)?
8
Suppose 0 = 3*v - 11 - 25. Suppose 3*t + v = 5*t. What is the lowest common multiple of 10 and t?
30
What is the common denominator of 1*(1 - 4) + (-63)/231 and ((-46)/(-28))/((-3)/12)?
77
Let k = 1438 - 10009/7. What is the common denominator of 77/6 and k?
42
Suppose -2*n + 0*n = 6, 9 = -3*r + 3*n. Calculate the common denominator of (-18)/(-63)*154/r and -34/5.
15
Let l(g) = -g**2 + 4*g - 1. Suppose 0 = -3*n - 2*u + 9, -1 = -5*n + 2*u + 14. Let r be l(n). What is the common denominator of (7 + r)/(8/11) and 87/10?
40
Let b = -12 + 17. Suppose 5*z - b*t - 35 = 0, 6 = -2*z + t + 1