v = 54 + -42. What is the lowest common multiple of v and 1?
12
Let g = -6275896/1367 - -4591. Let x = g + -102529/5468. Calculate the common denominator of 51/4 and x.
4
Suppose -2*g + 8 = u, -1 - 4 = 5*g. Let v(w) = -19*w**3 - w. What is the least common multiple of v(-1) and u?
20
Let f be (-626)/6084*(-201 + 0). Let t = 82/169 + f. Find the common denominator of -32/11 and t.
66
Suppose -4*u + 9*u - 35 = 0. Find the common denominator of (3/u)/((-4)/(-350)) and 29/8.
8
Let t(g) = g**3 - g**2 + 2*g + 18. Calculate the least common multiple of t(0) and 6.
18
Let k = -745/342 - -53/19. Let b = 3043/10 - 304. What is the common denominator of k and b?
90
Let u = 573952 - 22960461/40. Let h = u + 267/5. What is the common denominator of -41/5 and h?
40
Let w(c) = 2*c**3 - c**2 + 1. Let h be w(1). Suppose -2*j + 6*j = h*p - 52, 3*j = -2*p + 31. Calculate the lowest common multiple of p and 8.
40
Let c = -2/14909 - -641107/149090. Find the common denominator of c and (-2)/(-7) - 100/56.
10
What is the common denominator of 85/18 and 21/42*71/5?
90
Suppose -44 = -5*s + 2*i - 3*i, s - 4*i + 8 = 0. Calculate the least common multiple of s and 2 + 1 + -3 - -10.
40
Let g be 4089/(-15) - (-6)/10. Find the common denominator of (2 + g/10)/4 and 107/20.
20
Suppose -5*r + r + 24 = 0. Calculate the lowest common multiple of r and 4.
12
Let z(w) = -w**3 + 19*w**2 + 20*w + 18. Calculate the lowest common multiple of z(20) and 8.
72
Let s be (-2)/(-9) + 34/9. What is the smallest common multiple of 16 and 22/1 + s + -6?
80
Let j(r) = -4*r - 15. What is the smallest common multiple of 6 and j(-9)?
42
Suppose 3*h = h + 18. Let u(q) = 7*q**2 + q. Calculate the smallest common multiple of u(1) and h.
72
Let a = -10 + 15. Suppose 0*q - 5*q - a = 0. Calculate the common denominator of -53/16 and 305/10 + q*1.
16
Suppose -3*s - 68 = -r, 2*r - 5*s - 103 = 36. Suppose 3*p - 5*p = -10. Suppose -p*x = -13 - r. What is the lowest common multiple of 12 and x?
36
What is the lowest common multiple of 9 and 1/((3 - 1)/2)?
9
Suppose 47 = 3*k - j, -k - 51 = -4*k - 3*j. What is the lowest common multiple of k and 22?
176
Let h = -232/25 + 783/100. Let z(b) = 2*b**2 + 13*b + 11. Let x be z(-9). Find the common denominator of 1/(-3)*1449/x and h.
40
Let m = 4/321 - -14413/2568. What is the common denominator of 36/5 and m?
40
Suppose -2*k = -n + 10, -19 = -n - 0*n + 5*k. Calculate the common denominator of -43/11 and 38/(-40) + 3/n.
55
Let v(j) = 15*j**2. Calculate the least common multiple of 2 and v(1).
30
Let o(l) = -l**3 - 8*l**2 - 6*l + 10. Let z be o(-7). Suppose z*s - 28 = k, 0*k - 20 = -4*s - 3*k. Calculate the smallest common multiple of 12 and s.
24
Let s(j) = -2*j - 3. Let z be s(-4). Suppose 4*d - 26 = -5*t, -t + z*t - 27 = 3*d. What is the least common multiple of t and -4*1 + 32/4?
12
Suppose 2*m - 23 = 3*d, -2*m - 3*d - 1 = -18. Calculate the least common multiple of m and 40.
40
Suppose 9*s + 45 = 12*s. Calculate the smallest common multiple of s and 18.
90
Calculate the common denominator of 3 - 44/(-14) - 3 and 47/4.
28
Suppose -5*h - 3*u + 107 = 0, -4*u + 0 = h - 18. Let j = 49 + -27. What is the least common multiple of h and j?
22
Let z(r) = 2*r - 21. Let d be z(9). Let b = 142/5 + -1244/35. Calculate the common denominator of b and (7/d)/((-4)/(-6)).
14
Let l = -43 - -53. Calculate the least common multiple of 14 and l.
70
Let s(l) = -11*l - 1. Calculate the least common multiple of s(-1) and 1.
10
Find the common denominator of -97/96 and 1*6/12 + 32/(-3).
96
Let c = 14 + -10. Calculate the lowest common multiple of 240/32*-2*2/(-3) and c.
20
Let z = 22 + -8. What is the least common multiple of (3/(-6))/((-3)/60) and z?
70
Let i = -7508/7 - -118599/70. Let t(m) = -10*m**3 + 5*m + 2. Let u be t(4). Let y = i + u. What is the common denominator of y and 34/7?
70
Let y = -3 - -19. What is the common denominator of (6/4)/((-42)/y) and 51/4?
28
Let y(t) = -6*t**2 + t + 2. Let w be y(-2). Let f be (-8182)/w - (-2)/(-6). Let o = -667/2 + f. Find the common denominator of o and 61/14.
84
Suppose y - 5*y = 5*t - 1634, 2*t - 818 = -2*y. Let i be 20/(-6)*(-72)/20. What is the common denominator of y/(-15)*(-5)/i and 113/14?
84
Let j be (-956588116)/18 + -3 + 2. Let v = 649523589517/12222 + j. Let f = v - 3/679. Calculate the common denominator of 11/5 and f.
30
Suppose -30 = -0*g - 3*g. Let r(n) = -n**3 + 4*n**2 - n - 2. Suppose -j + 4 = 2*p, 0 = -4*j + 5*p - 1 + 4. What is the smallest common multiple of r(j) and g?
20
Suppose 33*d = 32*d + 11. What is the least common multiple of 2 and d?
22
Suppose 4 + 0 = o. Suppose -o*b = -2*c - 14, -b - c = -0*b - 8. Suppose -2*u = -4*d + 52, 0 = -0*u - b*u + 10. What is the least common multiple of d and 14?
14
Let i = -123/22 - -19/2. Find the common denominator of i and 43/8.
88
Let l = 6 + 14. Calculate the least common multiple of 25 - (2/(-1) + 5) and l.
220
Let m = -65 + 3. Let n be (-3034)/m*(-3)/3. Let u = n + -35/62. What is the common denominator of 25 and u?
2
Suppose -6 = -q - 2*m, -8 = -5*q - 4*m + 16. What is the lowest common multiple of q and (6 - -2) + 1*2?
20
Let d = 1 - -1. Suppose -v + 6 = d*v. What is the least common multiple of 12 and v?
12
Suppose 2*y = -3*l - 2*l + 132, 4*y = -4*l + 108. Let t = l + -18. Calculate the lowest common multiple of 2 and t.
8
Let f = -22 + 33. Suppose f*x - 40 = 7*x. Calculate the least common multiple of 10 and x.
10
Find the common denominator of ((-9)/84)/((-3)/24) and 2/23.
161
Let b = -1533173/6 - -251864. Let j = -3641 - b. What is the common denominator of (-4)/(-22) + (-273)/110 and j?
30
Let i = -6271772964 + 74977516151/12. Let o = -23661126 - i. Let h = o + 14520. Find the common denominator of -87/22 and h.
132
Let x = -4375 - -43659/10. Find the common denominator of -73/10 and x.
10
Suppose 1116 = 4*y - m + 4*m, 0 = -3*m + 12. Let j = -4469/16 + y. Calculate the common denominator of j and 89/14.
112
Let z = -1795/4 - -432. Let i = -95/16 - -1427/80. Calculate the common denominator of i and z.
20
Let r be -8 + 0/2 + 1. Let m(f) = f**3 + 4*f**2 - 2*f - 3. Calculate the least common multiple of m(-3) and 32/14 + 2/r.
12
Suppose n - 4*n - 9 = 0. Let a be (-1)/4 + (-185)/(-4). What is the common denominator of n/(-6) + a/11 and -77/4?
44
Let i = 4200 + -1583. Let a = i - 10523/4. Find the common denominator of (-74)/30*5/6 and a.
36
Let r = -1 + 15. What is the lowest common multiple of r and 12?
84
Let r be (-5 - -5)*(-1)/(-2). Let m = 2 + r. Calculate the smallest common multiple of 24 and m.
24
Let v(d) = d**3 + 7*d**2 + d + 10. Let w be v(-7). Let x = 11 - w. Let p = 0 + 3. Calculate the least common multiple of p and x.
24
Suppose 2 = 3*v - 2*v. Suppose -3*q + v*r = -q - 244, -4*r = 0. Find the common denominator of 45/8 and (q/10)/(12/15).
8
Let c = 25 - 17. Let a(x) = -x**3 + 7*x**2 + 9*x - 2. Calculate the least common multiple of a(c) and 18.
18
Let r = -7105/536 + 59/67. Find the common denominator of r and -87/14.
56
Suppose -u + 0*d + 4 = d, d - 1 = 0. Suppose 2*w = 8, -h = u*h - w - 8. Suppose -22 + 4 = -h*x. What is the smallest common multiple of x and 9?
18
Suppose 0 = -v - 5*p + 1 - 19, 0 = -4*v - 2*p. Suppose -v*d = 60 - 222. Calculate the common denominator of 2/2 + d/10 and -113/6.
30
Suppose 2 = r - 3*p - p, 3*r = -2*p + 34. What is the least common multiple of r and 11?
110
Let b be (-17721)/12*(-2)/3. Let i = b - 944. Calculate the common denominator of (-12)/(-10)*(-50)/(-14) and i.
14
Let g(v) = -2*v - 3. Let f be g(-4). Let c(h) = 2*h**2 - 7*h + 7. Let a = 24 + -18. What is the smallest common multiple of a and c(f)?
66
Let h = -26 + 46. Calculate the lowest common multiple of h and (-4)/(-30)*3*50.
20
Suppose -2*g + 51 = 5*p, 2*p + p - 5*g - 12 = 0. Calculate the least common multiple of p and 9.
9
Let r = -40202 + 200107/5. Let b = r + 180. Find the common denominator of b and -20/7.
35
Let y(m) = m**2 + 65. Let d be y(0). Suppose 0 = 4*t + r - d, 4*t - 2*r - 67 = -5*r. What is the least common multiple of t and 2/(-7) + (-258)/(-21)?
48
Let o(a) = a**2 - a. Let y be o(-3). Let w be y/(-18) - 80/(-3). Suppose 3*k - 3*p = 42, 0 = -3*k - 3*p + w + 4. What is the least common multiple of 2 and k?
12
Find the common denominator of 27