Let s be (6/(-12))/(p/38). Suppose -4*h + s = 3. Calculate the smallest common multiple of 3 and h.
12
Find the common denominator of -35/81 and (-4*6/60)/(18/10).
81
Suppose r - 19541 - 4038 = 2*x, -3*x = -5*r + 117902. Let s be (-424313)/(-5)*(-10)/(-36). Let v = s - r. Calculate the common denominator of -73/6 and v.
18
Suppose 0 = m - 4. Calculate the least common multiple of 8 and m.
8
Let l be 2428/(-15) + 4/20. Let f = l - -10421/66. Find the common denominator of f and 35/6.
66
Let j(o) = 1. Let t(m) = 2*m + 3. Let i(p) = -15*j(p) + 5*t(p). What is the lowest common multiple of 1 and i(1)?
10
Let d = 0 - 1. Calculate the common denominator of 274/(-80) + 20/25 and 303/(-2)*d/15.
40
Let d = 2/2973 + 100087/5946. What is the common denominator of -20 and d?
6
What is the common denominator of ((-7)/112)/(3/(-57)) and 99/2?
16
Calculate the common denominator of 89/28 and 52/80*-1 + -2.
140
Let b(r) be the third derivative of -2*r**2 - r**3 + 0*r + 1/8*r**4 + 0 + 1/60*r**5. What is the least common multiple of b(-5) and 14?
28
Let k = -39 + 15. What is the common denominator of (-125)/k*8/6 and 19/18?
18
Let u = -9037/22 + 825/2. What is the common denominator of 4/(-3)*39/(-14) and u?
77
Let r = -5183/153 + 280/9. Calculate the common denominator of r and (266/(-70))/(4/5).
68
Suppose -3*l + 52 = 5*k, -2*l + 5*l - 3*k - 12 = 0. What is the common denominator of l and 89/10?
10
Let a be -4 - (1 - 2) - -42. Let i = a + -27. What is the smallest common multiple of i and 9?
36
Let g be (-1 - -3)*3/2. Let i be 4186/6 - (g - 4). Let a = 692 - i. Find the common denominator of 41/5 and a.
15
Suppose 2*v = -v - 6. Let t = 11807/5 - 2352. Find the common denominator of (119/(-6) - v) + -2 and t.
30
Let z = -20 + 31. Calculate the least common multiple of z and 3.
33
Let c = -12605/36 - -1377/4. Let j = -1547 - -13906/9. What is the common denominator of j and c?
9
Suppose 51 = -3*k + 69. What is the least common multiple of 27 and k?
54
Let u = 108 + -47. Let f = -29 + u. Suppose -a + f = 3*a. What is the least common multiple of 20 and a?
40
Let n be ((-9)/(-2))/((-282)/446). Let u = n + 4/235. Find the common denominator of u and (-2)/24*(-4 - 31).
60
Let z(i) = -i**3 - i + 1. Suppose -5*r = 5*w - 10, -2*w + 5 - 1 = 0. Let x be z(r). Calculate the common denominator of -24/5 and 81/8 + x/4.
40
Suppose 0 = -5*s + 3*s + 44. Calculate the least common multiple of 8 and s.
88
Let w = -29 + 16. Let n = w - -16. Calculate the smallest common multiple of 11 and n.
33
Suppose 31 = x + 26. Calculate the lowest common multiple of 1 + 3 + 2/2 and x.
5
Let x(q) = q**3 + 6*q**2 - q + 7. What is the lowest common multiple of 10 and x(-6)?
130
Let p = -13366 + 294113/22. Suppose -2*w - 3*w - 1825 = 0. Find the common denominator of w/12*5/(-25) and p.
132
What is the common denominator of (77/14)/((-5)/11) and 1127/105 - (-3)/5?
30
Let o be (-2)/7 - (-29826)/168. Let m = 180 - o. Find the common denominator of m and -1/10.
20
Let s = -3 + 10. Let r(x) = x**2 - x - 3. Let l be r(3). Suppose 3*d = 18 - l. Calculate the least common multiple of d and s.
35
Let z be -1 + -2 + (-1 - -2). Suppose v = -2*g + 8 + 1, -4*v = -g + 18. Let x = z + g. What is the lowest common multiple of 10 and x?
20
Let h = -39359/10 - -3927. Find the common denominator of h and -139/96.
480
Suppose 2 = s - 7. What is the lowest common multiple of s and 10?
90
Let l(c) = -c + 3. Let p(d) = 2*d - 6. Let r(t) = -5*l(t) - 3*p(t). Let w = 8 - -2. What is the lowest common multiple of w and r(-4)?
70
Suppose -3*i - 9 + 3 = 0. Let h be 6/(-2)*(-2)/i. Let t = 5 + h. What is the smallest common multiple of 2 and t?
2
Let q = 4 + -2. Suppose 6 = 4*u - q. Calculate the smallest common multiple of u and 6.
6
Suppose 8 - 20 = -2*z. Suppose -z*o + o = -70. What is the least common multiple of o and 9/(7/(70/15))?
42
Let r(a) = a - 9. Let s be r(8). Calculate the common denominator of 1*s - (-91)/42 and 6/7.
42
Let u = -14 + 24. Calculate the lowest common multiple of u and 10.
10
Let r(a) = a**3 - 6*a**2 + 5*a - 1. Let s be r(5). What is the least common multiple of (-11)/(-1) - -2 - s and 2?
14
Suppose 5*t + 16 = t, t - 26 = -3*c. Suppose 0 = -5*b + 2*g - 0*g + 20, -5*g = -25. Calculate the least common multiple of b and c.
30
Let n = 1281045 + -7704595/6. Let x(w) = 4*w**3 - w**2 + 8*w - 8. Let p be x(-9). Let r = p - n. What is the common denominator of -53/6 and r?
6
Let w = 1 - 0. Let h(x) = 3*x - 1. Let v be h(w). Suppose 0 = -5*q + v*m + 3*m + 265, 187 = 4*q + m. Find the common denominator of q and 14/3.
3
What is the common denominator of -2 - (-2)/(8/186) and -49/20?
20
Let t(y) be the third derivative of -y**5/60 + 5*y**4/12 + y**3 - 2*y**2. Calculate the smallest common multiple of 4 and t(10).
12
Let q be 1 - 3 - 78/3. Let m = q - -54. What is the lowest common multiple of 20 and m?
260
Let q = 110611/30 + -3688. What is the common denominator of q and 1/24?
120
Let o = -1805/92 - 3/23. Let n = -45 + 17. Calculate the common denominator of -1 + n/(-54)*12 and o.
36
What is the common denominator of 101/8 and (56/(-20) - -3) + 48/5?
40
Let u = -346 - -246. Calculate the lowest common multiple of 48/5 + (-2)/(-5) and ((-8)/(-5))/((-10)/u).
80
Suppose 3*o = -b + 13, 0*b - 4*o - 16 = -2*b. What is the least common multiple of b and 112?
560
Suppose -5*z = 5*r - 30, -3*r + 0*r = -z - 10. Suppose -12 + 2 = -z*s. Calculate the least common multiple of s and 1.
5
Let i(p) = -p**3 + 8*p**2 + 2*p - 7. Calculate the smallest common multiple of i(7) and (6 + -4)/((-3)/(-6)).
56
Let s(b) = -b**3 + 5*b**2 + 3*b - 9. What is the least common multiple of s(5) and 4?
12
Suppose f - 4 = j - 3*f, -32 = -j - 5*f. Calculate the lowest common multiple of j and 6.
12
Suppose -2*u = -3*o + 32, -3*u - 2*u - 28 = -o. Let c be (-2)/o + (-3)/4. What is the least common multiple of 7 and (c + -1 - 0) + 3?
7
Let t = 893 + -1664. Calculate the common denominator of (-2)/(-12) + t/(-72) and -65/18.
72
Let t = -281 + 2257/8. Calculate the common denominator of t and ((-1)/6)/(-1*2/222).
8
Suppose -3*n + 2 = -n - j, 3*n - 5*j + 4 = 0. Calculate the lowest common multiple of 4 and n.
4
Let t(l) = -l**2 + 8*l - 12. Let d(u) = u**2 + 2*u + 1. Calculate the least common multiple of d(-5) and t(4).
16
Suppose -125 = -10*p - 35. Calculate the least common multiple of p and 74/10 - (-4)/(-10).
63
Let c(o) = o**2 + 11*o - 10. Calculate the smallest common multiple of c(-13) and 8.
16
Let g(d) = d**3 - 4*d**2 + 4*d - 2. Let w be g(3). Suppose -3*u = w + 23. Let x = u - -16. What is the smallest common multiple of 11 and x?
88
Suppose 5*t - 39 = -3*r, -r = 3*t - 2*t - 7. Calculate the lowest common multiple of (10/2)/((-2)/(-4)) and t.
90
Let h = 16219699/7574 + 11/3787. Let n = h - 2091. Calculate the common denominator of n and 33/2.
2
Let p(s) = s**2 - 11. Let o(r) = -r**2 - r + 10. Let z(i) = -3*o(i) - 2*p(i). Calculate the smallest common multiple of z(-6) and 5.
10
Let h(f) be the third derivative of f**5/60 - 5*f**4/24 + f**3 - f**2. Let n = 10 - 3. Calculate the least common multiple of 16 and h(n).
80
Suppose n = 4*h - 61, 4*n = 6*h - 2*h - 76. What is the smallest common multiple of h and 22?
154
Let h(b) = -13*b + 5. Let o be h(9). Calculate the common denominator of -45/2 and o/(-80) - (-2)/(-4).
10
Let u(k) = k**3 + 7*k**2 + 3*k + 3. Let c be (-26)/8 - 2/(-8). Calculate the least common multiple of 18 and u(c).
90
What is the common denominator of -4 - (((-2793)/(-18))/(-7) - 3) and -65/2?
6
Let w be ((-1)/(-45))/((-1)/2). Let y = -690 + 10346/15. Let l = y - w. Calculate the common denominator of l and 39/4.
36
Suppose 8*i = 36*i - 140. Calculate the least common multiple of 3 and i.
15
Suppose 0 = -4*x - 5*t - 42, -x + t - 1 - 5 = 0. What is the common denominator of (-81)/x*12/99 and (-113)/10 - (0 + 0)?
110
Let f(c) = -c**3 - c**2 - c + 10. Suppose 4*v + 32 = 5*k, 0 = k + 4*v + 4 + 4. Calculate the smallest common multiple of f(0) and k.
20
Suppose -2*r - 5 = -b, 3*r + r + 5 = b. Suppose 0 = -5*u - w + 1, -b - 3 = 2*w. Calculate the smallest common multiple of (0 + -15)/((-3)/2) and u.
10
What is the least common multiple of 7/(14/8) - -14 and 18?
18
Suppose -5*b = c - 14, -2*b - 22 = -5*c - 3*b. Let y(g) = 