 r.
88
Let u be (-422)/(-306) - 1/(-4). Let x = u - 5/68. Calculate the common denominator of -33/2 and x.
18
Suppose 3*d + 2 = -y, y - 2*d = -3*d + 2. Suppose y*n - 14 - 10 = 0. What is the smallest common multiple of 1 and n?
6
Suppose 5*n = 5*x - 9 - 26, -3*n = 6. Suppose 0 = 4*f - 2*r + r - 92, -2*f = x*r - 24. Calculate the least common multiple of 18 and f.
198
Let c be ((-76)/(-12))/(1/3). Suppose 0 = -3*j - 2*f + 32, -5*j + 43 = -f - c. Find the common denominator of 1834/j*(-2)/14 and -89/8.
24
Let h(s) = 3*s**3 - s + 1. Let x be h(2). Suppose 4*w = -o + 16, 7*w + 2*o - x = 2*w. Let c = -9 - -16. Calculate the lowest common multiple of w and c.
21
Suppose 5*o + 3*p = 5*p + 64, -5*o + p + 67 = 0. Calculate the smallest common multiple of o and 2.
14
Let y(k) = k**2 + 2*k - 1. Let w be y(1). Suppose 63 = w*c + 15. Calculate the least common multiple of c and 4.
24
Let q(x) = 34*x**2 + 11*x + 17. Let p be q(11). Let y = 42479/10 - p. What is the common denominator of y and (-4)/(3/8 + -1)?
10
Let u(z) = 30*z. Let q be u(1). Calculate the lowest common multiple of 1 and (18/q)/((-2)/(-30)).
9
Let s = 9 - 0. Let n(t) = -t**3 + 10*t**2 - 9*t - 8. Let l be n(s). Let x = -4 - l. What is the lowest common multiple of x and 12?
12
Suppose -f + 1 = -5. Calculate the least common multiple of (-9)/(-2 - (-3)/2) and f.
18
Suppose -3*l = 2*l - 5*v + 35, -2*l = 2*v - 2. Find the common denominator of -2 + l/72*146 and -71/12.
12
Let c = -7537 + 60385/8. Calculate the common denominator of c and -119/20.
40
Let t(q) = -q**2 + q. Let p be t(-2). Let w = 20 + p. Calculate the smallest common multiple of w and 8.
56
Let n be (1/(-2))/((-4)/(-48)). Let l = -5 - n. Let d(k) = 13*k**3 + 2*k**2 - 2*k + 1. Calculate the lowest common multiple of d(l) and 12.
84
Let v = 2 - 1. Suppose -5*l + v = -9. What is the common denominator of 3/30*(-1)/l and 37/2?
20
Suppose 0 = -2*n + 3*n - 6. Calculate the lowest common multiple of n and 14.
42
Let b be 5708/186*(-5)/20. Let j = 17/279 + b. Find the common denominator of -73/2 and j.
18
Let z = -2 + 6. Suppose -5*b + w = -0*w - 33, z*w = -2*b. Calculate the smallest common multiple of b and 22.
66
Let v be (-4)/22 + (-4)/(-22). Suppose -30 = -5*z - v*z. Calculate the least common multiple of z and 9.
18
What is the smallest common multiple of -6*(1 - (-13)/(-3)) and 22?
220
Suppose -4*w = 8221 - 1917. Let u = w + 14159/9. Calculate the common denominator of u and -29/8.
72
Find the common denominator of -97/2 and 24/(-144) - 1/((-3)/59).
2
Let r = -317/14 - 20/7. Find the common denominator of r and (-31)/(-10 - (-2 + 2)).
10
Let r be (5 + -6)/(3/18). What is the common denominator of (-3)/(-2)*7/r and 23?
4
Suppose 3*g = 3*s - 6, s = -4*g - 0*g + 17. Suppose -4*q - 215 = -g*o - 2*o, 2*o - q = 83. What is the common denominator of 37/4 and o?
4
Let f = -6 + 8. Suppose 3*o - 39 = r, 2*o = -0*r + f*r + 30. Calculate the least common multiple of o and 14.
84
Suppose 3*s - 5 = 2*k, -2*s + 5*s = k + 10. Calculate the lowest common multiple of 1 and s.
5
Let k(h) = h**2 + 3*h - 1. Let j(u) = -u**2 - 4*u. Let q be j(-5). Calculate the lowest common multiple of 10 and k(q).
90
Suppose j = -h + 5, -5*h + 0*j = 2*j - 16. Suppose y + t = 4, h*t = 3*y - t - 6. What is the common denominator of -5/8 and (54/10)/(y/2)?
40
Calculate the least common multiple of (-4)/14 - 1096/(-14) and 8.
312
Let v = 221689643521/46615943568 + -136/9076313. Let x = 62/321 - v. Let z = 2/161 + 801/322. Find the common denominator of z and x.
16
Let s(a) = -2*a + 3. Let y be s(-10). Suppose -2*d - 3*f = -7*d + 3, d = -5*f + y. What is the lowest common multiple of d and 8?
24
Suppose 0 = -5*g + 4*g. Let f = g + 4. Suppose -2*u = -3*u + 4*l - 1, -f*u = 3*l - 34. Calculate the lowest common multiple of 9 and u.
63
Let z = -10 + -14. Calculate the common denominator of 190/88 + 6/z and -61/5.
55
Let d be 3/9 - 40/12. Find the common denominator of 2*(-324)/(-32) - d and 0/(-2) + 298/(-12).
12
Suppose 6*t - 17 + 5 = 0. Calculate the least common multiple of 10 and t.
10
Let n(q) = -q**2 + 8*q + 1. Let u be n(9). Let o = 13 + u. Let f = 5 + o. What is the smallest common multiple of f and 8?
40
Let f = 225/2 - 641/6. Let v = -57/5 - -12. Find the common denominator of v and f.
15
Let d(q) = -q**3 + 6*q**2 + 2*q - 3. Let f be d(6). Let j(h) = h**3 - 8*h**2 - 7*h - 12. Calculate the lowest common multiple of 11 and j(f).
66
Let b = -4 + 7. Let r be (-10)/(-4)*(-32)/(-40). Suppose 0 = r*v + 3*u - 7, -b*u = -3*v + 27 + 6. What is the lowest common multiple of 8 and v?
8
Calculate the common denominator of (3 - 20/8)/(16/(-110)) and ((-5)/(-2))/(4/(-3)).
16
Let j = 105/37 - -837/370. Let d = 67831/124 + -547. Let h = -933/124 + d. What is the common denominator of j and h?
10
Let k(b) = b**3 - 8*b**2 + 3*b + 10. Let c be k(7). Let r = 28 + c. What is the smallest common multiple of 6 and r?
30
Let z = -205/18 + 41/9. Find the common denominator of z and -41/4.
12
Suppose 3*h = 37 - 19. Calculate the lowest common multiple of h and 2.
6
Let r = 138 - 131. Let m(z) = -z**2 - 9*z - 8. Calculate the least common multiple of m(-6) and r.
70
Let s(v) be the second derivative of v**5/20 - v**4/12 + v**3/6 + v**2/2 - v. Suppose 7*q - 12 = 11*q. What is the common denominator of 24/7 and s(q)?
7
Let u be (-103)/111 + -2 + 3. Let b = -4439/1554 - u. Find the common denominator of b and 83/2.
14
Let m = -4 - -2. What is the common denominator of 275/(-42) + m/3 and 396/(-168) - 6/3?
14
Suppose 2*u - m = 22, 0 = -0*u + u + 5*m - 11. Calculate the lowest common multiple of u and (-2 - -3)*(-4 + 11).
77
Let h = -26/219 + 2621/146. What is the common denominator of h and 59/18?
18
Let y(l) = -l**3 + 12*l**2 - 24*l - 8. Find the common denominator of y(9) and -139/78.
78
Let q be -5 + 5 + -2 + 4. What is the common denominator of 1 - (18/(-20) - q) and 93/4?
20
Let k = 24 - 11. Let y(g) = -g**3 + 8*g**2 - 8*g + 5. Let b be y(6). Let h = b - k. What is the lowest common multiple of h and 6?
48
Let d(w) = -w**3 + 7*w**2 - 8*w + 6. Suppose -15 + 3 = -2*g. Calculate the smallest common multiple of d(5) and g.
48
Let t be (-1 - -2)*12/(-2). Find the common denominator of 113/10 and ((-207)/108)/((-2)/t).
20
Let z = -106/11 + 75/11. Let p = 85/18 + -98/9. Find the common denominator of p and z.
66
Let k(l) = -l**2 + 9*l - 6. Let c = 71 + -49. What is the lowest common multiple of c and k(6)?
132
Let n = 9 - 6. Suppose -w - 4*s = 4*w - 75, 0 = -3*w - n*s + 48. What is the lowest common multiple of w and 4?
44
Let i = 9354 - 168427/18. Find the common denominator of i and -121/18.
18
Suppose -2*o + 40 = 16. Suppose 4*y - 86 = -3*h, 4*h = 3*h + 2. Calculate the lowest common multiple of o and y.
60
Let u(m) = m**2 - 6*m + 4. Suppose -2*t + 0*t - 10 = 0. Let k be 2/t + 32/5. Calculate the smallest common multiple of 6 and u(k).
12
Suppose -4 = -2*d, 0 = 4*o - 3*d + 2*d - 14. Let r(h) = 10*h. Calculate the lowest common multiple of r(1) and o.
20
Let s(q) = -q**3 + 22*q**2 + 50*q - 24. What is the least common multiple of 20 and s(24)?
120
Suppose 4*i + 4 = 0, -3*i - 41 = -3*u + 2*i. Let c(t) = -3*t**3. Let x be c(2). What is the least common multiple of (x/14)/((-6)/63) and u?
36
Let w be (-2)/10 + 480518/105040. Let i = -1/2626 - w. What is the common denominator of -42/5 and i?
40
Suppose -2*b = -16 - 12. What is the least common multiple of 10 and (-162)/(-21) - (-4)/b?
40
Suppose -g + 5*g - 40 = 0. Calculate the smallest common multiple of (-1*2)/((-5)/g) and 7.
28
Let k = -12 - -23. Let p(v) = -v**3 - 6*v**2 - 5*v + 1. Suppose -j - 3*j = 20. What is the smallest common multiple of p(j) and k?
11
Let k = -30 - 1248. What is the common denominator of (-2)/(-24)*k/12 and -77/20?
40
Let y = 4013/94 - 9/47. Find the common denominator of -99/2 and y.
2
Let m = 1 + -6. Let n(o) = -5*o**3 - 7*o**2 - 5*o - 3. Let x be n(m). Find the common denominator of 2/(-8) + x/96 and 36/7.
21
Suppose 4*n - 7 = -5*l + 10, 4 = -n - 4*l. What is the lowest common multiple of 0/(-1) + (-1 - -6) and n?
40
Let c(a) = 4*a**2 + 3*a - 2. Let w = 16 + 0. What is the least common multiple of c(2) and w?
80
Let i = 4171/20 - 208. Calculate the common denominator of i and 87/16.
80
Let z(l) = 2*l - 12. Calcul