e (-2018)/(-48) + (-5)/(-15). Let t = 87/2 - i. Calculate the common denominator of t and 7/4*12/(-8).
8
Let n(d) = -3*d**3 - 6*d**2 + 4*d + 3. Calculate the smallest common multiple of 8 and n(-3).
72
Suppose a + 2*w - 23 = 0, 2*a - 4*w = -3*a + 143. What is the smallest common multiple of a and 12?
108
Let u = -1237 + 9813/8. Find the common denominator of u and -75/14.
56
Suppose -2*c + 28 + 2 = 0. What is the smallest common multiple of c and 6?
30
Let g(u) = -u**2 - 10*u - 9. Let i be g(-7). What is the least common multiple of 40/i - 4/(-6) and 26?
52
Suppose -b + 35 = -c, -5*b + 2*c - 4*c + 147 = 0. Suppose 3*g = b + 5. Let o = 22 + -2. Calculate the smallest common multiple of g and o.
60
Suppose 2*x = 4*x + 12. Let c = 13 - x. What is the smallest common multiple of 5 and c?
95
Suppose -4*t + 7*j - 10 = 5*j, -t = 2*j + 10. What is the common denominator of (-46)/(-20) - (-2)/(-2) and 43/(-12) - (-2)/t?
60
Let z(v) = -7 + 7 + v**3 + 6 - 8*v - 7*v**2. What is the least common multiple of z(8) and 8?
24
Let q(h) = -2*h**3 + 2*h**2 + 4*h + 3. Let t be q(4). Let o = -708 - -8633/12. Calculate the common denominator of -1 + t/2 + 1 and o.
12
Let k be (-178)/(-18) + (-9)/(-81). Suppose -4*m + 5*m - k = 0. Calculate the least common multiple of 2 and m.
10
Let q be -2 + 6/2 + -1. Suppose 4*i - 3*v - 37 = q, 2 = 2*i + 2*v + 2*v. Calculate the smallest common multiple of i and 8.
56
Let u = 310479131/22 + -14121545. Let t = u + 8859. Find the common denominator of t and -99/8.
88
Let p = 3466 - 38160/11. Let i = 2451 + -1458. Let q = 2930/3 - i. Calculate the common denominator of p and q.
33
Let l = -11 + 18. Let t = 9 - l. What is the lowest common multiple of t and 10?
10
Let r = -31 + 117. Calculate the least common multiple of 14 and r.
602
Let u = -13/467 - 24231/18680. What is the common denominator of -85/24 and u?
120
Calculate the common denominator of 8/(-14)*75/(-12) and -9/5.
35
Let y = -11589/16 + 723. Find the common denominator of y and 63/10.
80
Let y(i) = -154*i**2 + 2*i + 2. Let j be y(6). Let h = -3052 - j. Let t = -24883/10 + h. Find the common denominator of t and -37/10.
10
Let g be 1/(-1)*72/(-2). Suppose -3*l + g = l. What is the smallest common multiple of 11 and l?
99
Let c be (12 - 11) + 1 + -3. What is the lowest common multiple of 10/(-20)*12/c and 22?
66
Find the common denominator of 19/8 and ((-9)/(-4))/((-15)/18).
40
Suppose -q + 2*m = -122 - 21, 0 = 3*q + 4*m - 429. What is the common denominator of 16/(-8) + q/12 and 75/22?
132
Find the common denominator of 37/61 and ((-34)/18)/(4*(-5)/120).
183
Let c be 2/9 + (-7700)/144. Let b = c + 1355/28. Calculate the common denominator of b and 11/6.
42
Let m = 476 + -4807/10. What is the common denominator of (-4)/1 + 58/12 and m?
30
Suppose 8 + 8 = 4*f. Find the common denominator of (79/f)/((-11)/2) and 49/2.
22
Suppose 0 = -6*r + 17 + 85. What is the lowest common multiple of 9 and r?
153
Let v = 2 + 14. Let u = -8 - -14. What is the smallest common multiple of v and u?
48
Let z be (24/18)/(2/(-210)). Let i be (-19)/z + 1/(-4). Let a = -149/140 - i. Calculate the common denominator of a and 67/8.
40
Suppose 5*y - b - 142 = 0, -4*y + 63 = -b - 51. What is the least common multiple of 2/8 - (-301)/y and 9?
99
Calculate the smallest common multiple of 10 and 83/9 - 4*(-4)/(-72).
90
Let h(r) = r - 4. Let s be h(-6). Let f = 17 + s. What is the least common multiple of 9 and f?
63
What is the smallest common multiple of 8/(-6)*3 - -10 and 20?
60
Let v = 5/49 + 39/98. Calculate the common denominator of v and 17/4.
4
Find the common denominator of 2 + 2 + 123/(-24) and 1/((-21)/(-6)) - (-146)/77.
88
Let o = -2388162016/67 - -132356734854617/3713274. Let z = 5/3079 - o. What is the common denominator of z and -55/14?
126
Let v = 23516 + -24856404/1057. Let k = v - -53819/11627. Find the common denominator of 63/8 and k.
88
Calculate the common denominator of -1 - -1 - 2/(-256)*-142 and 109/6.
192
Let l(o) = 2*o**2 - 3*o - 20. Calculate the lowest common multiple of 6 and l(7).
114
Let f(w) = w**2 - 10*w + 12. Let l be f(8). Let c = l + 10. Suppose -2*v + 10 = -30. Calculate the least common multiple of v and c.
60
Suppose 3*r - 2 = 4. Calculate the common denominator of 5 - r - (-62)/(-32) and 11/10.
80
Suppose -5*a - 1 - 29 = 5*q, 4*q - 2*a = 6. Let r = -33 - -26. What is the smallest common multiple of (q - -12) + 4 + r and 16?
16
Let o = -6428 + 77243/12. Calculate the common denominator of 23/24 and o.
24
Let x = 99 - 79. Calculate the least common multiple of x and 16.
80
Let a = 14 + -2. Calculate the least common multiple of a and 22.
132
Suppose -3*y + 16 - 4 = 0. Calculate the smallest common multiple of y and 44.
44
Let x be ((-99)/2)/(9/(-192)). Let l = -7338/7 + x. Calculate the common denominator of l and (-129)/4*(-1)/6.
56
Let k = 63 + -43. Let w(a) = 4*a**2 + 2*a + 1. Let n(q) = -5*q**2 - q. Let c(z) = -5*n(z) - 6*w(z). What is the lowest common multiple of k and c(8)?
20
Let t(l) = -3*l + 31. Calculate the smallest common multiple of 10 and t(10).
10
Suppose -3*g + 6*g = -15. Let h be g + (-2 - (-1 + -1)). What is the least common multiple of 2 and (-52)/h + (-4)/10?
10
Suppose 3*s + 5*w - 37 = 0, -2*s + 16 + 12 = 5*w. Calculate the lowest common multiple of 9 and s.
9
Let k(t) = 2*t. Let a be k(1). What is the lowest common multiple of 1/(a/6*1) and 7?
21
Suppose 5*a - 10*a = -80. What is the least common multiple of a and 12?
48
Suppose 3*f + 0*f = 66. Let s = 16 + -4. What is the smallest common multiple of f and s?
132
Let i = 5/2124 - 16299631/23364. Let b = i + 699. Find the common denominator of (11/9)/((-1)/(-5)) and b.
99
What is the common denominator of (65/9)/(20/(-30)) and ((-232)/200)/(8/10)?
60
Let m(n) = -n**2 + 10*n + 12. What is the least common multiple of m(11) and 8?
8
Let z(u) = -u + 1. Let s be z(-11). Let b be 3/s*(-13046)/4. Let p = 814 + b. Find the common denominator of -65/6 and p.
24
Let s = -1837/78 - -447/13. Let l = 2/6979 + -593259/153538. Calculate the common denominator of l and s.
66
Suppose -4*q - 27*r = -31*r - 44, 2*q = -4*r - 8. Let s(i) = -i - 3. What is the smallest common multiple of s(-5) and q?
6
Let s = -1 - 3. Calculate the lowest common multiple of 8 and (-4 + -2)*2/s.
24
What is the lowest common multiple of 1 and (-4)/(-10) + 56/35?
2
Let w = -28/447 - 5395/298. Calculate the common denominator of ((-14)/(-12))/((-1)/11) and w.
6
Let f = 1/10 - 0. Calculate the common denominator of (0 + 141/(-6))/(-5) and f.
10
Suppose -3*i - 12 = q - 0*q, 5*i = -3*q - 20. What is the common denominator of 9*(-2 + 2/i) and 1/(-2 + 4)*-53?
2
Calculate the common denominator of 4 + 248/(-60) + (-2978)/(-60) and -10/13.
26
Suppose 5*m + 6 + 9 = 0, -4*v + 2*m = -10. Suppose i + 15 = -2*z - 3, 4*i - 4*z + 12 = 0. What is the least common multiple of v and (-14)/i + 1/4?
2
Suppose 0*m - 30 = -5*m. Calculate the common denominator of 17/5 and (-6)/14 - m/21.
35
Let k = -13597/8 + 1705. Find the common denominator of 31/4 and k.
8
Let j(g) = -2*g + 5*g - 5*g. What is the smallest common multiple of 6 and j(-6)?
12
Suppose 0 = u - m - 13, 4*u + m - 51 = -4. Let x = 58 - 38. Calculate the least common multiple of u and x.
60
Suppose 0*k - 4*k + 8 = 0. Suppose -r = -4*r + 15. Suppose -x + 15 = r*q - 4*x, -q + x + 3 = 0. Calculate the least common multiple of q and k.
6
Suppose -10*x + 13*x = 81. Suppose j - x = -2*j. What is the smallest common multiple of j and 11?
99
Suppose 13 = 4*j - 27. Let z = -28657/6 - -4790. Find the common denominator of 36/j + 1/(-4) and z.
60
Let i(n) = -n - 1. Let p be 4/(-14) + (-40)/7. Calculate the smallest common multiple of i(p) and 2/(-6) + 22/3.
35
Let i = -274/19 - -4285/114. Let s = 22/15 - 14/3. Calculate the common denominator of s and i.
30
Suppose -3*a + 3*x + 9 = 0, -4*a + 11 = -a - x. Suppose -4 = a*r - 0. Find the common denominator of r/6*1*-101 and -4/11.
66
Calculate the lowest common multiple of ((-12)/4 - -13) + -3 + -1 and 8.
24
Calculate the common denominator of -97/24 and 131*((-38)/12 - (-24)/8).
24
Suppose 3*u = 2*a + 3*a + 39, -3*u + 27 = -a. Suppose 3*j + 8 = 32. Calculate the lowest common multiple of u and j.
8
Let k(r) = -r**2 + 22*r - 21. What is the smallest commo