t h be 5 + -1 - 64/4. Suppose 5*z + 7 = 127. Let s = h + z. Calculate the lowest common multiple of s and 18.
36
Let u(t) = 48*t**2 + 1. Calculate the least common multiple of u(-1) and 1.
49
Let a = 501 - 921/2. What is the common denominator of -95/6 and a?
6
Let g be -2 + 25/(-14)*11. Let k = g - -1444/63. Calculate the common denominator of 41/22 and k.
198
Let j = -12 - -6. Let i be (1 + 3/j)*10. Suppose -7*r - i*p = -3*r - 30, -5*p - 60 = -5*r. What is the lowest common multiple of 6 and r?
30
Let v = 53047/2 - 25036. Let z = v - 11951/8. Calculate the common denominator of z and 33/2.
8
Let y(q) = -7*q - 19. What is the least common multiple of y(-5) and 24?
48
Let m(c) = c**2 + 2*c - 1. Let i be m(-2). Let d = i - -17. Calculate the lowest common multiple of 6 and d.
48
Let b = 109/5 - 20. Find the common denominator of 53/6 and b.
30
Let x = -6 + 17. Let n be -1 - -3 - 2*4. Let w(i) = -i - 3. What is the least common multiple of x and w(n)?
33
Let l(r) = r**3 - 8*r**2 + 8. Suppose 4*p - 2 = -v + 2, -5*p = -3*v + 29. Calculate the lowest common multiple of l(v) and 12.
24
Let x(a) = -a**3 - 6*a**2 + 3*a - 10. Let k = 49 + -43. What is the smallest common multiple of k and x(-7)?
18
Let c = 2061/11 + -21413/110. What is the common denominator of c and 97/10?
10
Let q = -3546 + 35491/10. Find the common denominator of (-334)/110 + (-14)/(-35) and q.
110
Let r(g) be the second derivative of -g**3/6 + 5*g**2/2 - g. Let v be r(-7). Let f = 24 - v. What is the least common multiple of 2 and f?
12
Suppose -15 = 5*v, 0 = -g + 3*v - 2*v + 25. What is the smallest common multiple of g and 14?
154
Let k = 46 - 40. What is the least common multiple of k and 1?
6
Let u = 42/61 + 4887/610. What is the common denominator of u and -97/48?
240
Let q = 19 + -30. Let j = -7 - q. Let o = 13 - 7. What is the lowest common multiple of j and o?
12
Let u = 43/38 - 1. Let z = u - 333/76. Calculate the common denominator of 109/10 and z.
20
Let t = 4201/4 + -1033. Suppose -5*y + 0*n + 2*n = -488, -200 = -2*y - 4*n. What is the common denominator of t and (-1058)/(-28) + (-28)/y?
4
Suppose -k + 5*b + 2985 = 0, -4*k + 15060 = k + 2*b. Let h = k + -12141/4. Find the common denominator of -51/10 and h.
20
Let c = 1601 + -3293/2. Let o be 84635/(-25722) - (1 + 1). Let q = 18/1429 + o. Find the common denominator of q and c.
18
Calculate the lowest common multiple of ((-51)/(-34))/((-3)/(-8)) and 16.
16
Let c = -2846/693 - 26/77. Find the common denominator of c and -11/12.
36
Suppose -2*q - 3*q - 30 = 0. Let g = 14109/10 - 1415. Calculate the common denominator of q/(-2) - (-67)/(-2) and g.
10
Suppose 0*h + 2*h = 4*t + 12, 3*h - 4*t = 14. Suppose -10 = a - h*a. Calculate the least common multiple of 1 and a.
10
Calculate the lowest common multiple of 18 and (-474)/24*-4 + -5.
666
Calculate the lowest common multiple of 34 and 15 - (3 + -9 - -3 - -6).
204
Suppose 3*o - 5*f = 368, -5*o + 207 = 4*f - 431. Let m = o - 74. Suppose -4*r = -2*n - m + 14, 5*r = 2*n + 47. What is the smallest common multiple of 9 and r?
9
Let z(s) = s**2 + 1. Suppose -40 = -f - 3*f. What is the lowest common multiple of z(-1) and f?
10
Suppose 5*l - 3*y = l + 69, 0 = -5*l - 2*y + 92. Suppose 5*h - 3*h - l = 0. Calculate the least common multiple of h and 3.
9
Find the common denominator of -43/74 and (-24)/20*(-5)/96*-51.
592
What is the common denominator of (-183)/(-28)*(-6)/72 and -91/12?
336
Suppose a = 3*a - 12. Let f = 6 - a. What is the least common multiple of 9 and 24/(-18)*(-6 - f)?
72
Suppose 0 = -5*g - 216 + 6. Find the common denominator of 145/18 and g/(-4) - (-4)/(-10).
90
Suppose -2*x + 2*h = -14, 3*h + 18 = -4*x + 74. Calculate the lowest common multiple of 3 and x.
33
Suppose -5*g - 3*y + 10 = 0, -3*g + 3*y = g - 8. What is the least common multiple of g and 8?
8
Let l = -20 - -18. Calculate the common denominator of (-381)/(-18) + (-1 - l) and 95/28.
84
Let a = 23 + -22. Find the common denominator of 27/4 and 8/(-11)*7/a.
44
Let l = 17019/5 - 3393. Calculate the common denominator of 24/5 and l.
5
Suppose 0 = 2*g - 0*g - 4. Suppose g*y = -3*y - 55. Let o = 15 + y. What is the least common multiple of o and 2?
4
What is the lowest common multiple of 10 and 2 + (-18)/8 + 68/16?
20
Let g(z) = z**3 + 5*z**2 + 7*z + 6. Let r be g(-4). Let c(h) = -h - 3. Let a be c(r). Find the common denominator of 85/66 - a/9 and -37/16.
176
Find the common denominator of 61/10 and 9/(-3) - 164/(-128).
160
Suppose -2*t = u - 6*u + 2, 3*t + 3 = 0. Suppose 3*n = -u*n + 33. What is the least common multiple of 10 and n?
110
Let b = 7/32 + -387/32. What is the common denominator of b and 71/16?
16
Suppose 0 = -9*q + 4*q + 80. Suppose -11 + 1 = -5*r. What is the lowest common multiple of r and q?
16
Let u(y) = 7*y - 3. Suppose d = -4*t + 9, 3*t - 2*t = 0. Let x be u(d). Calculate the common denominator of 81/x + 1 + -2 and -11/10.
20
Let x = -1840721594464027/3466505254906720 - 2/53707629755. Let f = x + -1/4034. Calculate the common denominator of f and 5/14.
224
Let f(c) = -c**3 - c**2 + 2. What is the smallest common multiple of 3 and f(-2)?
6
Suppose 5*f + l - 123 = -8, -f + 47 = 5*l. What is the common denominator of 3/6 - 100/f and 27/20?
220
Let y = -9/3820493 + -1161242667645/84050846. Let l = y - -13812. Calculate the common denominator of -5 + 872/32 + -3 and l.
44
Let p = 15714 + -62011/4. Let t = p - 1651/8. What is the common denominator of (1/(-2))/((-7)/3) and t?
56
Suppose -t + 7*t - 18 = 0. Calculate the lowest common multiple of 2 and t.
6
Let v = -8 + 6. Let g = 60007/9 + -6661. Find the common denominator of ((-120)/(-14) - v)/2 and g.
63
Let j = 843046/73073 + 8/5621. Let c = j - 1439/65. Find the common denominator of c and -67/8.
40
What is the common denominator of 870/(-40)*3/9 and -8/11?
44
Suppose -r - 36 = -5*r - y, 0 = -5*r - 2*y + 42. Calculate the least common multiple of r and (-3)/((-15)/(-5)) + (-16)/(-2).
70
Calculate the lowest common multiple of 4 and 7*(-2)/14*-2.
4
Let y be 4*3/9*3. Let r(k) = k**3 - 5*k**2 + 3*k - 3. Let t be r(y). Calculate the lowest common multiple of (-1 - -10) + (t - -6) and 7.
56
Let c be 72/33 + (-4)/22. Suppose c*a + 2 = 14. Calculate the least common multiple of a and 20.
60
Let y be (-3)/12 + 27/12. Suppose y*x = 4*x. Suppose k - 5*k + 8 = x. What is the smallest common multiple of 14 and k?
14
Suppose 4*s - 2*b = 19 + 19, -b = -3*s + 30. Calculate the lowest common multiple of s and 13.
143
Let n = 6944 + -41549/6. Calculate the common denominator of n and -71/45.
90
Suppose -3*t - c - 21 + 73 = 0, 3*t - 36 = 3*c. Suppose -h = -2 - 20. Calculate the lowest common multiple of h and t.
176
Suppose 0 = 2*m - 6*m + 16. Suppose 0 = -0*i - 5*i + 5*s + 60, i = -m*s + 32. What is the least common multiple of i and 10?
80
Let c = -2106209/289404 + -1/32156. Find the common denominator of 23/3 and c.
18
Suppose -j + 27 = 3. Let b = j + -14. Suppose 1 + 0 = y. Calculate the lowest common multiple of y and b.
10
Let t(o) = -o + 2. Let x = 6 - -2. Calculate the smallest common multiple of t(-5) and x.
56
Let f = -59/14 - -54/7. Let q = 483/55 - 35/11. What is the common denominator of q and f?
10
Let t = -97/66 + 11/6. What is the common denominator of 22/9 and t?
99
Let n = -84/276455 - -815756171/158132260. Let k = 6/715 - n. Find the common denominator of ((-6)/(-20))/(84/(-1085)) and k.
40
Let l be 142/3 + 6/9. Calculate the common denominator of -25/8 and (18/l)/(6/134).
8
Let h = 1315831621894 - 203169665745441463/154404. Let b = -11033/6 + 141961607/77202. Let x = b + h. Find the common denominator of -41/10 and x.
60
Suppose 0 = f - d - 2, 2*d - 6*d = 4*f - 8. Let v = -27 + 49. Calculate the least common multiple of f and v.
22
Let o = -4420/9 - -497. Find the common denominator of 6/(-21) + 417/(-28)*-2 and o.
18
Let v = 14291/2958 + 1/493. Let o = -4945723/640458 + -2/35581. What is the common denominator of v and o?
18
Let v = 17 - 11. What is the least common multiple of v and 3?
6
Suppose 48 = 2*u + 12. Let p = u - 13. Calculate the least common multiple of p and 8.
40
Let g = 3645 - -113. Let t = g + -30005/8. Calculate the common denominator of t and (-45)/14 - (-3)/6.
56
Let c be ((-9620)/64)/5 - 2. Let u = 1963/48 + c. Ca