e -3*j + y = -j. Let v = 32 + -10. Calculate the lowest common multiple of v and j.
176
Find the common denominator of -7/16 and (-1*10/(-35))/(3/483).
16
Suppose 0 = 17*x - 12*x - 20. What is the lowest common multiple of x and 1?
4
Let y be (0 + -1)/((-3)/9). Suppose -2*c = 2*n - 10, 5*n - 16 = -y*c + 11. Calculate the least common multiple of n and 8.
24
Let d = 3 + -4. Let w(x) = x**3 - 5*x**2 - 7*x + 8. Let h be w(6). What is the lowest common multiple of (-3 - -12)*(d + h) and 8?
72
Let q = 3544 + -70899/20. Let a = 572/7 - 92. Let o = a + 699/70. Calculate the common denominator of o and q.
20
Calculate the common denominator of (22/(-5))/(24/40) and 91/8.
24
Let p(y) = -y + 5. Let b be p(8). Let u be (-2)/3 - 14/b. Suppose 0 = -k - u*q + 3 - 7, 0 = -4*k + 5*q + 47. What is the lowest common multiple of 10 and k?
40
Let d(p) = -p**3 - 8*p**2 - 8*p - 3. Let y = 3 + 19. Calculate the lowest common multiple of d(-7) and y.
44
Suppose 92 + 58 = 5*h. What is the least common multiple of h and 33?
330
Suppose -5*m - 4*d = -1 - 82, -3*m + 3*d = -39. Calculate the lowest common multiple of m and 8.
120
Let g be ((-1)/((-3)/(-10362)))/(-1). Let t = 41425/12 - g. Calculate the common denominator of -19/22 and t.
132
Let x = -9/3952 + 410409/3952. Let g = x + -8555/78. Find the common denominator of 17/5 and g.
30
Let o(p) = -10*p. Let m = -8 + 4. Let t be o(m). Let s = t + -22. What is the least common multiple of 8 and s?
72
Let m(d) = 4*d**2 - 1. What is the least common multiple of (-3 + -1)*((-2)/(-2) - 2) and m(1)?
12
Let w = 3/46 + -173/184. Let g = 3/8 + w. What is the common denominator of 37/2 and g?
2
Let g = 48 + -19. Suppose 4*v + 83 = 3*n, 0*v - 4*v = -n + 73. Let a = v + g. What is the smallest common multiple of 4 and a?
12
Let f be 33674/(-3648) + 2/3. Let p = 193/19 + f. Let s = 853/224 - p. Calculate the common denominator of s and -107/14.
14
Let y = 616 + -22195/36. Calculate the common denominator of 157/30 and y.
180
Suppose -5*g + 30 = -i - 181, 3*g = 4*i + 130. What is the least common multiple of g and 10?
210
What is the common denominator of 7/20 and (1/(-3))/((-140)/(-609))?
20
Suppose 3*h + 3*f = -0*h + 18, 3*h + 5*f - 8 = 0. Find the common denominator of 119/10 and -3 + (43/h - 3).
110
Let y = -3 + 25. What is the lowest common multiple of y and 14?
154
Let i(k) = -k**3 - 4*k**2 + k - 4. Let h be i(-4). What is the common denominator of (-1)/20 - 4/(-16) and 9/h*-10 + -2?
20
Let v = 7 + -3. Let q be ((-166)/(-6))/(v/(-48)). Calculate the common denominator of 61/5 and (q/(-20))/(2*-1).
10
Suppose -4*g - 3*y = -21, -4*y + 1 = -11. Calculate the lowest common multiple of 1 and g.
3
Suppose -l + 3 = 5*j - 2, -3*l = -3*j + 21. Calculate the least common multiple of j and 2.
2
Let x = 2 + -3. What is the common denominator of (-106)/36 + 2 + x and -47/8?
72
What is the lowest common multiple of 5*(-4)/40*-12 and 8?
24
Let t = 33 + -30. Suppose 2*c + 15 = 3*i - 4, -3*i = -3*c - 21. Suppose -3*s + 57 = i*y + 20, 4*s + 2*y = 26. What is the lowest common multiple of t and s?
12
Let c = -25684/9 + 2859. Calculate the common denominator of c and 198/(-20) - -4 - -1.
90
Let b = -7 + 11. Suppose -3*s = b*v - 10, 0 = 2*v + 2*v - 2*s - 20. What is the smallest common multiple of 12 and v?
12
Let h(u) = u**2 - 5*u + 4. Let o = -8 - -14. What is the smallest common multiple of 2 and h(o)?
10
Let j = -1112 + 23363/21. What is the common denominator of j and 37/27?
189
Let z = 317 - 163. What is the common denominator of 89/8 and (-1)/2 + z/(-280)?
40
Let v be (-6)/((-9)/48 - 0). Suppose -6*g - 4*j + v = -3*g, -3*g = -2*j - 2. What is the least common multiple of g and 3?
12
Let g(y) = -y**2 + 9*y + 10. Let c be g(8). Let b be ((-1)/2)/(1/2). Calculate the common denominator of 149/6 and 0 - b*273/c.
6
Suppose -4*a + 0*b - b - 22 = 0, -2*b - 29 = 5*a. Calculate the common denominator of -57/5 and a.
5
Let r be 0 + 1 + 0 + -3470. Let v = 13807/4 + r. What is the common denominator of 81/16 and v?
16
Let b = 9 + 1. What is the lowest common multiple of b and 2?
10
Let x(o) = o**2 - 5*o + 3. Let u be x(5). Suppose -t - 4*w - 1 = 2, -2*t - u*w + 14 = 0. Calculate the least common multiple of 5 and t.
65
Let n(r) = 13*r**2 - r - 4. What is the lowest common multiple of 14 and n(-2)?
350
Let v = -4 - -1. Let n = 5 - v. Let a = n - 13/2. Calculate the common denominator of 21/16 and a.
16
Suppose 0*l = 5*l + w - 69, 0 = 4*l + 3*w - 53. What is the least common multiple of l and 20?
140
Suppose -2*w - 3*w = -70. What is the least common multiple of w and 22?
154
Let c(q) = q**3 + 5*q**2 - q + 3. Let s(b) = -b**3 + 7*b**2 - 7*b + 7. Let u be s(6). Calculate the least common multiple of c(-5) and (-1*u)/(4/(-44)).
88
Suppose 0 - 8 = -4*u. Let o = u - 1. What is the smallest common multiple of o and (-119)/(-11) + 8/44?
11
Suppose -3 = -2*r + 11. Let n = -1 + r. Calculate the smallest common multiple of (4/4)/((-1)/(-7)) and n.
42
Suppose -2*t + 0*r + 18 = 4*r, -8 = -4*r. What is the lowest common multiple of t and 11?
55
Let p(l) = -l - 9. What is the lowest common multiple of 3 and p(-14)?
15
Suppose 6*q - 23 - 37 = 0. Let w(g) = -25*g - 9. Let z(s) = 13*s + 5. Let p(c) = -4*w(c) - 7*z(c). What is the least common multiple of q and p(1)?
10
Let k = -1582 + 28441/18. Find the common denominator of k and (-4)/(-26) + 2020/(-624).
36
Let y = 8 + -3. Suppose 2*s - 109 = -0*g + 3*g, 0 = -y*g + 5. Suppose -5*c - 14 = 2*u - 3*u, -4*u - 3*c = -s. What is the smallest common multiple of u and 16?
112
Let h be (-1 - -1) + 2 + 6. Suppose -h = -2*n + n. Suppose s = -3*s + 72. What is the lowest common multiple of n and s?
72
Suppose 0*p - 2*p = 10. Let q(n) = n**3 + 7*n**2 + 6*n - 2. What is the lowest common multiple of q(p) and 22?
198
Let f = -221/6 - -1615/42. What is the common denominator of -151/24 and f?
168
Let u = -1 + 3. What is the common denominator of 37 and 1 - (u - (-176)/(-12))?
3
Let f = -77061/10 + 7713. Suppose -3*h - h + 352 = 3*c, -4*h + 352 = 2*c. What is the common denominator of (-144)/h + (1 - 1) and f?
110
Let i = 11 - -19. Suppose 4*t + 11 = w - 13, t - i = -2*w. Calculate the least common multiple of 6 and w.
48
Suppose -3*p - 5*a - 9 = 0, 3*p + 23 = 2*a - 7. Calculate the common denominator of 85/p + (-6)/(-4) and -131/12.
24
Suppose -12*b = 79 - 319. What is the lowest common multiple of b and 14?
140
Let y be (3/4)/((-3)/(-214)). Let d = y - 40. Let n(r) = -r**2 - r + 11. Find the common denominator of n(0) and d.
2
Let u be ((-100336)/2 + -1)/(-10). Let c = 5011 - u. What is the common denominator of (2/(-8))/((-3)/(-286)) and c?
30
Let u(i) = -3*i**3 - 2*i**2 + 3*i + 2. What is the smallest common multiple of u(-2) and 27?
108
Let v = -42 - -45. Suppose -37 = -2*k - 3*r - 2*r, 3*k + 5*r = 43. Calculate the least common multiple of v and k.
6
Let h be (24/(-16))/(6/(-40)). What is the common denominator of (-15)/(-21)*99/h and -21/10?
70
Let p(o) = 2*o**2 - o - 1. Suppose 3*h - 5*x = -2*h - 25, h = -2*x - 14. Calculate the least common multiple of p(-2) and (30/h)/((-3)/8).
90
Let r be 0/13 - (-3 + 0). What is the common denominator of -1 + (34/16)/(-1) and (22/r)/(8/(-14))?
24
Let y = -3898/11 + 354. Suppose 425 = -2*v - 3*v. What is the common denominator of v/(-24) - 4/6 and y?
88
Suppose -4*b + 32 = 3*n + n, 4*n - 4*b = 0. What is the lowest common multiple of 3 and n?
12
Let r(a) be the third derivative of a**4/6 - a**2. Suppose 4*o + 6 = -i + 2*i, -i + 11 = o. What is the lowest common multiple of r(2) and i?
40
Let l = -74 + 488/7. What is the common denominator of l and ((-37)/(-3))/(6/(-9))?
14
Find the common denominator of -4/15 and (-2409)/110 - (-6)/(-10).
30
What is the least common multiple of 0/2 + 0 + 2 and 20?
20
Let m = -49 - -76. What is the smallest common multiple of 12 and m?
108
Let t = 7158121170384471/69850 + -102478470589. Let o = 1207056897/34925 - 172807/5. Let r = o + t. Find the common denominator of 97/16 and r.
176
Let j = 4 - -1. Suppose -18 = -j*c + 22. Let r = -1 + 3. Calculate the lowest common multiple of r and c.
8
Let f(v) = -2*v - 9. Let n(i) = -i - 4. Let o(k) = 3*f(k) - 5*n(k). What is the least common multiple of 10 and o(-10)?
30
Suppose d + 0*l + 15 = l, 0 = -4*d - 5*l - 