12 + 350. Let x = 5647/10 + -561. Calculate the common denominator of z and x.
60
Let z(a) = -3*a - 9. What is the smallest common multiple of 10 and z(-6)?
90
Let x be (-3 - (-2 - -3))/(-1). Suppose 5*l = -4*r + 38, -2*l = -l + x*r + 2. Calculate the least common multiple of l and 10.
10
Let v be (-721)/(-35) + 2/5. Find the common denominator of 1550/(-84) + 6/v and -62/3.
6
Let t = 11 - 6. Let v = -3 + t. Let i(p) = -p**2 - 4*p + 7. Calculate the least common multiple of i(-5) and v.
2
Let v = -48 + 50. Calculate the least common multiple of v and 20.
20
Let q(z) = 3*z - 4. Suppose -p = -5, 2*d = -3*d + 4*p + 5. Calculate the smallest common multiple of q(d) and 5.
55
Let k(r) = 2*r**2 - 2. Let y = 3 + -5. Let i be k(y). Suppose -d + i + 1 = 0. Calculate the least common multiple of 2 and d.
14
Let w = 11 + -5. Calculate the smallest common multiple of 2*(165/(-10))/(-3) and w.
66
Suppose 5*w - a = 2*a - 1, 3 = -w + 2*a. Let u be (3 - w)*35/(-10). Let o(s) = s**3 + 8*s**2 + 7*s + 2. Calculate the least common multiple of 9 and o(u).
18
Let y = 389 + -6179/16. Let i be -1*(-1768 + 0 + 1). Let a = -3613/2 + i. What is the common denominator of y and a?
16
Let o(y) = y**2 - 9*y - 21. What is the least common multiple of o(12) and 12?
60
Suppose 2*k = -5*w + 18, 3*k + 4 = -2*w + 9. What is the least common multiple of w and 2?
4
Find the common denominator of 21/16 and ((-52)/(-72) - -4) + -3 + 2.
144
Let z(h) = -h + 17. Let y be z(0). Let f = 5 + y. Calculate the smallest common multiple of 2 and f.
22
Let n(l) = l - 1. Let r be n(8). Let u = -6 + r. Let b = 11 + -4. Calculate the smallest common multiple of b and u.
7
Let w(u) = -9*u**2 - 3. Suppose 5*i - 11 = -0*i + s, -4 = -s. Let v be w(i). Calculate the common denominator of 93/2 and (-2)/(-7) + (-410)/v.
6
Suppose -552 = -3*h + 78. Calculate the smallest common multiple of 14 and h.
210
Suppose -42 = -2*u - 4*b, -u - 4*b = -9 - 22. What is the smallest common multiple of 12 and u?
132
Let i be 188/36 - 4/18. Let b = i + -1. Calculate the smallest common multiple of 8 and b.
8
Let t = -387/418 + 15/19. Let c be ((-5)/(-15))/(2/(-6)). Calculate the common denominator of t and -21*c*(-13)/(-18).
66
Let b(s) = 6*s + 2*s - 3 + 5 - 3*s. What is the smallest common multiple of 42 and b(4)?
462
Suppose 5*o = -y - 8 - 4, -4*y + 3*o + 21 = 0. Suppose y*z + 2*h = 14, 2*z - 13 = z + h. Calculate the lowest common multiple of 8 and z.
8
Let y(q) = q**3 - 15*q**2 + 9*q - 3. Let x be y(-11). Let w = 32519/10 + x. Calculate the common denominator of w and -17.
10
Suppose -3*o + 7*o = 0. Suppose 4*v = -3*b + 47, -5*v + b + 3*b + 20 = o. Suppose -9 = c - 2*c. Calculate the lowest common multiple of c and v.
72
Suppose -33*l - 2*l + 140 = 0. Suppose 0 = 4*z - a - 39, 0 = 4*z + 2*a - 30. What is the smallest common multiple of l and z?
36
Let t = 86 + -50. Let k = t + -16. Let v(g) = -g**2 + 9*g - 8. What is the smallest common multiple of k and v(6)?
20
Let m be 1826*(-6)/8 - 1. Let p = 1413 + m. Let l = 116571/25208 - -2/3151. What is the common denominator of p and l?
8
Let p = 291/272 + 21/34. Calculate the common denominator of p and -17/22.
176
Suppose -u - 13 = -4*k, -2 = -u - 2*k + 3*k. What is the lowest common multiple of u and 4?
28
Let k = -2 + 1. Suppose 2*x = 8*x - 84. What is the lowest common multiple of (1 - k)*11 + -2 and x?
140
Calculate the least common multiple of 8 and 6 + -3 + (4 - 1).
24
Let s = -5549 - -44471/8. What is the common denominator of s and 7/10?
40
Let t(q) = q**3 - 5*q**2 - 5*q - 2. Let h be t(6). Suppose -2*o + 2 = -h. Calculate the least common multiple of o and 1.
3
Suppose -5*s + s = 3*v - 103, 4*s + 13 = v. Suppose 5*d - 21 = v. What is the lowest common multiple of d and 6?
30
Let u = 270 + -190. Let t be u/(-6)*12/(-5). Suppose -4*w = 4*l - t, w = -4*w + 2*l + 47. Calculate the smallest common multiple of 3 and w.
9
Suppose -3*z + 4*r = -6*z, 0 = z + 2*r + 2. Suppose 4*b + 64 = -z*c, 5*b = -0*b - 5. Find the common denominator of -63/2 and 6/c - (-742)/(-20).
2
Suppose -4*n - 142 - 19 = -z, -2*z = -3*n - 122. Find the common denominator of -21/20 and (-114)/(-8)*n/132.
220
Let b(c) = -c**2 - 5*c + 1. Let x be b(-5). What is the common denominator of 2 + ((-19)/(-16))/x and 214/(-112) - 4/(-14)?
16
Let l(r) = 5*r - r + 5*r - r**2 - 9. Let k = -5 - -14. Calculate the smallest common multiple of l(6) and k.
9
What is the least common multiple of (-3)/24 - 243/(-24) and 18?
90
Let j(o) = o - 1. Calculate the smallest common multiple of (-4)/(-26) - 37/(-13) and j(3).
6
Find the common denominator of -81/10 and 1 + -4*2/28.
70
Suppose -131 + 19 = -7*k. Calculate the smallest common multiple of 6 and k.
48
Let c(l) = l**2 + 3*l + 1. Let n be c(-3). Let s(g) = 18*g**2 - g + 1. Calculate the lowest common multiple of 10 and s(n).
90
Let t = -1/3556 + -12223/2667. Let o = 38 - -25. Calculate the common denominator of t and 14/o*303/(-8).
12
What is the common denominator of 164/18*(-9)/12 and 23/8?
24
Let w = 105 - 50. What is the lowest common multiple of 7 and w?
385
Let w be (242/246 - 1)*-144. Let h = w - 646/451. What is the common denominator of 97/6 and h?
66
Let g(t) = -t**3 - 9*t**2 - 10*t + 5. Let c be g(-8). Let f = -30 + c. Let b = -212/3 - -73. Calculate the common denominator of f and b.
3
Find the common denominator of -49/6 and (-1 - 3) + 454/56.
84
Let m = -7/753945719 - -35362316124939/7182086919194. Let t = 34911898/433 + -80628. Let k = m + t. Calculate the common denominator of k and 37/22.
22
Suppose -2*s = 5*k + 3*s - 25, 3 = -3*s. What is the common denominator of (k - 29)/((-18)/(-1)) and 113/12?
36
Find the common denominator of (-12)/(-6) - 90/22 and 2 - 2 - (-11)/2.
22
Let f = -1333/2 - -653. What is the common denominator of f and (-2)/(-4) + (-60)/(-2)?
2
Let f = -2171614 - -21697711/10. Let w = f + 1846. What is the common denominator of w and -85/4?
20
What is the smallest common multiple of 10 and 22*(0 + (-3)/(-6))?
110
Let c = -4721/3 + 1552. What is the common denominator of c and 13/11?
33
Let f(h) = h**2 - 7*h + 6. Calculate the lowest common multiple of f(9) and 33.
264
Suppose -5*g = -197 + 172. Calculate the lowest common multiple of g and 116.
580
Let d be 15964/36 - (0 + 1). Let z = d - 1318/3. Calculate the common denominator of z and 31/11.
99
Let k = 3521673/1738006 + 2/45737. Find the common denominator of -4/3 and k.
114
What is the common denominator of 65/6 and 165/(-8)*(51/(-9) - -5)?
12
Let d = 47 - 96. What is the common denominator of d and -17/5?
5
Let x = 451 - 1420/3. Calculate the common denominator of x and 54/11.
33
Calculate the common denominator of (-5)/((-40)/148) - 2 and 43/4.
4
Let u = -11 - -30. Find the common denominator of u and 6/21*29/2.
7
Let u be 4/(-2) - 4386475/(-720). Let p = u + 77959/9. Let m = p - 14758. Find the common denominator of 43/16 and m.
16
Suppose 0 = -2*z + a + a + 14, -4*z + 21 = 3*a. Let r = 3180 + -34934/11. Calculate the common denominator of r and -11*4/((-8)/z).
11
Let l = 2539614512825/3486 - 728518226. Let u = -46/249 + l. Calculate the common denominator of u and 115/12.
84
Let a = -1/1059 - -16595/4236. Find the common denominator of 130/8*54/(-105) and a.
84
Let a(z) = z**2 - 2*z - 3. Let i be a(-2). Suppose -4*s = -2*k - 2*s - 6, k = i*s - 23. Let l = -2 - -8. What is the lowest common multiple of k and l?
6
Let a be 0 + 0 - (-58478)/60. Let m = a + -4754/5. Find the common denominator of -99/4 and m.
12
Let c(k) = k**3 - 2*k**2 - 4*k. What is the lowest common multiple of 2 and c(4)?
16
Suppose 3*w = -3*h + 2*h + 6, -4*w + 18 = 3*h. What is the common denominator of 62/5 and h/9 - 295/(-12)?
20
Let f = 4 + -3. Let r(z) = -z**2 - 5*z + 4. Let c be r(-6). Calculate the smallest common multiple of 6 and 4/c + 10*f.
24
Let l be -2 + 11*23/101. Let k = l + -10211/2020. What is the common denominator of 81/10 and k?
20
Let h = 0 - -3. Let f = 0 + h. Suppose -5*i = 5*c - 135, -f*i + 3*c + 31 = -20. What is the least common multiple of 6 and i?
66
Let w = 2492 - 34917/14. Calculate the common denominator of -71/2 and w.
14
Let a = 47 + -42. Suppose -2*q + 2*k + 18 = 0, 0*q - q - 2*k + 9 = 0. What is the smallest common multiple of a and q?
45
Let j = 10 + -8. Suppose -w +