110
Suppose 19*y - 14*y = 1015. Let r = y + -405. Calculate the common denominator of 59/8 and (1 + (-33)/36)*r.
24
Let l(j) = 2011*j - 11. Let m be l(2). Let a = m - 24187/6. Suppose 4*c = 1 + 51. What is the common denominator of c and a?
6
Suppose c + 2*c - 24 = 0. Let g(x) = 12*x**2 - x**2 - c - x**3 + 9*x - 5*x**2. Calculate the smallest common multiple of 4 and g(7).
12
Let s = -67 + 77. Let u(g) = -g - 5. What is the smallest common multiple of s and u(-9)?
20
Let r be -2 + 22920/25 + 2/4. Let d = -921 + r. What is the common denominator of -1/6 and d?
30
Let v = 32 + -325/9. Find the common denominator of v and -47/14.
126
Let v be 2 - (-1112)/6 - 2. Suppose 2*q - 4*i + 382 = 0, -7*i + 2*i - 895 = 5*q. Let z = v + q. Calculate the common denominator of 32 and z.
3
Let v be -4 + -1 + (-36)/(-4). Suppose v*g + 3 = 31. What is the least common multiple of 4 and g?
28
Let g = -63 + -31. Let r = 246 + g. Calculate the least common multiple of 10 and r.
760
Suppose -2*a = -4*a + 66. Suppose 11*w + 74 = -124. Let p = w + a. Find the common denominator of -37/8 and p.
8
Let s = -92 + 62. Let m be 8/(-3)*s/(-4). Let a = -12 - m. What is the least common multiple of a and 10?
40
Calculate the lowest common multiple of 14 and 3 + 2/(-13) + (-342)/(-26).
112
Let t be -16 + (1/(-5) - (-126)/(-45)). Let q(s) = -s**3 - 5*s**2 + 1. Let b be q(-6). Let m = t + b. Calculate the smallest common multiple of m and 38.
342
Let l = -104462269/1228 + 85067. What is the common denominator of 23/10 and l?
6140
Find the common denominator of -51/20 and (595/126 - 5)/((-2)/(-6)).
60
Let n = -15/2 + 79/16. Let c = 91/12 + -13/2. Find the common denominator of n and c.
48
Let k = -163 + 203. Calculate the lowest common multiple of 10 and k.
40
Suppose 8*x - 140 - 116 = 0. What is the lowest common multiple of 4 and x?
32
Let x(i) = -i**3 + 4*i**2 + 12*i - 1. Let q = -2945/234 + -29/117. What is the common denominator of x(6) and q?
6
Let v = -180943/16 - -11307. Let n = -4955 + 89113/18. Find the common denominator of n and v.
144
Let p = 42 - 35. Let o(x) be the first derivative of x**4/4 - 2*x**3 - 5*x**2/2 - 4*x + 1. What is the smallest common multiple of 2 and o(p)?
10
Let w be 3716/(-6) + 3 + 2/6. What is the common denominator of 17/15 and w/21 - -4*1?
15
Let o = 41 + -21. Calculate the lowest common multiple of (16/10)/(2/25 + 0) and o.
20
Suppose -10 = -4*k + 6. Suppose k*x = 2*x + 38. Let w = x + -11. What is the lowest common multiple of w and 20?
40
Let o = -25114 + 1004471/40. Calculate the common denominator of o and -23/235.
1880
Let f = 5 - -37. Let d = -37 + f. What is the least common multiple of d and 2?
10
Suppose 3*z = -u + 10, 2*z = 2 - 0. Calculate the least common multiple of 148 and u.
1036
Suppose 5*l - 6 = 4. Let s(f) = -2*f - 9. Calculate the least common multiple of l and s(-9).
18
Calculate the common denominator of (-126)/24 - 0/(-12) and (-31)/7 - 2/(-1).
28
Let s be 2 - (3 + 1225055/150). Let z = -8169 - s. What is the common denominator of z and (15/(-20))/((-12)/(-86))?
120
Let n = -29 + 27. Let l(d) = d**3 + 6*d**2 + 3. Suppose -4*t + 33 = 5*s - 10, -2*s + 2*t + 28 = 0. What is the lowest common multiple of s and l(n)?
209
Let k(n) = -n + 9. Let w = -14 + 16. Suppose 27 = w*y + y. Calculate the smallest common multiple of y and k(0).
9
Let g = 32 + -37. What is the smallest common multiple of 22 and -2 + (-1)/(-3)*(-330)/g?
220
Let s(d) = 4*d + 3. Let p be s(4). Suppose -3*o = -4*j + p, -4*j - j - 4*o = -16. Let y(m) = -5*m - 31. Calculate the smallest common multiple of y(-7) and j.
4
Suppose 0 = 5*a - 17 - 203. Let g = a - 62. Let t = 1681 + -15103/9. Calculate the common denominator of t and g.
9
Find the common denominator of -43/174 and 4/(-10) - (5 + 7322/(-1155)).
1914
Find the common denominator of 157/42 and 60/(-8)*50/72 - 1.
168
Let n = 2/6341 + 805259/152184. What is the common denominator of -131/144 and n?
144
What is the common denominator of 139/24 and (-6)/(720/(-102)) - 3/(-1)?
120
Let g(z) be the first derivative of z**4/4 + 23*z**3/3 + z**2/2 + 26*z + 10. Let b(o) = o + 4. Calculate the lowest common multiple of b(5) and g(-23).
9
Let m be (-7)/(-14)*(-60124)/(-10). Suppose 2997 = -2*u + u. Let c = u + m. Calculate the common denominator of c and -101/8.
40
Find the common denominator of -89/546 and ((-1)/48*22)/((-69)/506).
3276
Let x = 122 + -310. Calculate the common denominator of 19/6 and x/(-120) + 6/15.
30
Let u(m) = -14 + 30 - 11 + 4*m + 3*m**2 - 2*m**2. Calculate the lowest common multiple of 5 and u(-4).
5
Let c(o) = -o**2 - 15*o - 22. What is the smallest common multiple of 168 and c(-11)?
1848
Calculate the common denominator of 37/18 and (-4)/(-24) + (-2 - (-295)/45).
18
Let o be 2048/(-6) - (-14)/(-21). Let i be o/(-30) - 6/15. Suppose -5*k - 20 = 5*x, 3*k + x + 1 + i = 0. What is the common denominator of 73/9 and k?
9
Suppose 4*h - 42 = 2*r + 2*h, 5*h + 93 = -4*r. Find the common denominator of -61/8 and (6/(-16))/(r/(-52)).
88
Suppose 4*z - 25 + 17 = 0. Suppose -7 = -3*g + z. Calculate the smallest common multiple of 5 and g.
15
Let w = 360/77 + 2637/770. Find the common denominator of -95/108 and w.
540
Calculate the lowest common multiple of -1*((-15)/(-3) + 1) + 7 and 9.
9
Let q be 6 - (-4)/(12/3). Let m be q + (-4*1)/(-4). Suppose -3*a = -13 - m. What is the smallest common multiple of 7 and a?
7
Let m = -69/47 + 2216/517. Find the common denominator of ((1110/72)/37)/((-2)/3) and m.
88
Let u = 31370 + -2760529/88. Let h = 704 + -9859/14. What is the common denominator of u and h?
616
Let c(l) = l**2 + 7*l + 4. Let z(a) = -a**3 - 11*a**2 - 8*a + 13. Let q be z(-10). What is the lowest common multiple of c(q) and 10?
20
Let v(o) = -5*o**3 + 2*o + 1. Let t be -2 + 2/10*5. Calculate the least common multiple of 4 and v(t).
4
Let s(x) = -x**2 + 7*x - 7. Let z = 3 + 2. Let n be s(z). Let a = 7 - n. Calculate the smallest common multiple of 5 and a.
20
Suppose 4*p = -2*m + 24, -3*m = -2*m + 4*p - 16. Let g = 42 + -20. Calculate the lowest common multiple of g and m.
88
Let p = -22 - -21. Let t be (-20)/((2 + -3)*p). Let c = t - -28. Calculate the lowest common multiple of 6 and c.
24
What is the common denominator of 2/4*348/27 and -3 - (-44)/(-77)*(-213)/18?
63
Suppose -y - 28 = -5*y. Suppose 3*f = 3*z - 36, -4 = -2*f - 5*z + y. Let x(j) = j**2 + 6*j - 6. What is the smallest common multiple of x(f) and 9?
9
Let b = 219 + -183. Calculate the smallest common multiple of b and 40.
360
Suppose -5*b - 44 = -f, 0 = 5*f - 0*f - 4*b - 136. Calculate the smallest common multiple of f and 27.
216
Let x be 2/1*(-4 + 3). Let l be -2 - 2*x - -1. Suppose -l*d + 30 = 5*u, -6*d = 3*u - 2*d - 18. Calculate the smallest common multiple of u and 16.
48
Suppose -21 + 30 = v. Let r(h) = 3 - h - 4 + 0*h. Calculate the least common multiple of v and r(-5).
36
Let v be (2 - 0) + (1 - 0). Calculate the common denominator of -1 + 2 + 369/27 and (-134)/6 - (2 - v).
3
Let x = -7 - -3. Suppose -4*m = -2*g - 18, 3*m - 9*g = -4*g + 31. Calculate the least common multiple of 6 and 0 + (m + 1 - x).
42
Suppose -3*h + 83 - 20 = 0. Let p = -861 + 876. Calculate the smallest common multiple of h and p.
105
Let q(m) = 2*m**2 - m - 3. Let y(w) = 2*w**2 - 2*w - 38. Calculate the lowest common multiple of y(6) and q(3).
132
Let u = 13810 + -276119/20. Let c = -29037/12440 - 106/311. Calculate the common denominator of c and u.
40
Let a = -477/40 - -115/8. Calculate the common denominator of 151/270 and a.
540
Let f = 998609/1665630 - 20/6169. What is the common denominator of -89/130 and f?
3510
Let a = -23695/8 - -2953. What is the common denominator of 445/110 - 0/2 and a?
88
Let i be (1 - -1)*(-20)/(-8). Let n(y) = 2*y**2 + y - 35. Calculate the least common multiple of n(i) and 16.
80
Suppose 0 = 2*n - 0*n + 14. Let m be 3 + n/(3 + -2). What is the common denominator of (-428)/(-2)*m/(-112) and 27/22?
154
Let r = 165 - 151. Suppose -2*h = 3*m - 23, 4*m - 5*h = -10 + 33. Calculate the lowest common multiple of r and m.
14
Let t(s) = 11*s - 8. Suppose 3*u = -c - 3*c - 44, u + 12 = -c. Let z be t(c). What is the common denominator of 10/z*(4 + -1) and 53/8?
16
Let y = 114 - 36. Calculate the smallest common multiple of 143 and 