35
Let o(z) = 3*z**2 - 1. Let v be o(-1). Suppose 4*c - v*c = 40. Calculate the lowest common multiple of c and (-20)/(-15)*3/2.
20
Find the common denominator of 261/154 + (-4)/14 and 10/(-3)*(66/56)/(-11).
154
Let r = 0 - -1. Let n be (298/3)/(r/(-9)). Calculate the common denominator of n/72 - 6/(-8) and -32/9.
9
Let b be (-3)/(-1)*(-2)/(-6). Let d be ((-40)/(-24))/(b/3). Suppose d*z - 12 = z. Calculate the smallest common multiple of z and 1.
3
Let k = 765371/30 + -25508. Find the common denominator of k and 87/2.
30
What is the smallest common multiple of 7 and (-18)/(-2)*(-16)/(-6)?
168
Suppose 2*a = -2*n + 2, -5*a + 8*a + 3 = -5*n. Let l(m) = m**2 + m - 1. Let c be l(n). Let w = c - 3. Calculate the least common multiple of w and 22.
22
Let o be -1 - (0 + 196777771448/(-3710)). Let z = o - 53039837. Let b = -2/265 + z. Calculate the common denominator of b and 1/6.
42
Let j = 135 - 32. Suppose -3*w + j = -3*t + 28, -w = 5*t + 5. Let b(o) = 15*o**2 + 2*o + 1. What is the lowest common multiple of w and b(-1)?
140
Suppose -59 + 71 = 4*r. Suppose 0 = 3*z - z - 6. Let v = 5 - z. What is the least common multiple of r and v?
6
Let z = -8 - 0. Let x = z + 16. Let l = x - -6. Calculate the least common multiple of 20 and l.
140
Suppose -173 = -4*g - 7*d + 4*d, 73 = 2*g - 3*d. Suppose 2*x - 2*q + q = 29, 3*x - q - g = 0. What is the least common multiple of 10 and x?
60
Let a = -1/2259 + 18829/9036. What is the common denominator of -57/4 and a?
12
Suppose -5*x = f + 18, 6*f - 3*f - 4*x + 92 = 0. Let n = -2465 - -487. Let t = n - -7841/4. What is the common denominator of t and f?
4
Let h be 1 + 1524/764 + -3. Let o = h - -5543/764. What is the common denominator of -65/18 and o?
36
Let i be (1 - (-28511)/(-6)) + -2. Let m = i + 4728. Let c = -88 + 54. Calculate the common denominator of c and m.
6
Let q = 117133/18 - 6502. Let x = 2237/280 - 74/35. Calculate the common denominator of x and q.
72
Let t = 13 + -10. Calculate the common denominator of 1*-41*(-4 + t) and 31/10.
10
Suppose 5*x = 2*l + 43, -x = -5*l - 17 - 10. Calculate the least common multiple of x and 11.
77
Let j = -1737/830 + -3/415. What is the common denominator of 101/4 and j?
20
Let i = -4 - -4. Let h(j) = 4 + i*j + 3*j - 2*j + j**3 - 4*j**2. What is the lowest common multiple of 22 and h(4)?
88
Let w(o) = -o + 8. What is the lowest common multiple of 60 and w(6)?
60
Suppose -7*u + 67 = -4*u - 5*j, 4*j = -4*u + 36. Calculate the smallest common multiple of u and 18.
126
Suppose -3*m - 51 + 384 = 0. Suppose 3*x - m = -q - 0*q, -q = 0. Suppose -5*k + 13 = -x. Calculate the least common multiple of k and 2.
10
Suppose 0 = -h + 2*h - 86. Suppose 4 = 5*z - h. Suppose j + 2*j = 24. Calculate the least common multiple of z and j.
72
Suppose -6*b - 113 + 1169 = 0. Calculate the lowest common multiple of 10 and b.
880
Let x = -1/12912 - -106883/4304. Calculate the common denominator of 94/32*28/(-21) and x.
12
Let z be (-13818)/(-340) + (-2 - 2). Let q = 12/85 - z. What is the common denominator of -35 and q?
2
Find the common denominator of (-754)/(-20) - 3/15 and -19/5.
10
Let b = 148 + -74. Find the common denominator of -1 + 1 - b/20 and 134/10*10/(-8).
20
Let q(p) = p**2 - 7*p + 11. What is the smallest common multiple of q(9) and 11?
319
Let y(x) = -15*x**3 + x**2 - x - 1. Let d be y(-1). Suppose 4 = n - d. What is the smallest common multiple of 14 and n?
140
Find the common denominator of (-1)/(-3) - 542/(-48) and (-1)/((-20)/(-106)) + 2.
40
Let j = 3316 - 23259/7. What is the common denominator of 34/11 and j?
77
Let g = 1756 + -10475/6. Find the common denominator of g and 53/3.
6
Let z = 2649 + -8017/3. Find the common denominator of 36/11 and z.
33
Suppose -5*l - 34 = -w, -3*w + 10 = -3*l - 68. What is the least common multiple of w and 28?
168
Let s be 1/(-2)*(-7 - 3). Suppose 2*w + a - 7 - 41 = 0, -s*w - 2*a = -118. Calculate the smallest common multiple of w and 16.
176
Let t = -24 + 15. Let y = t + 17. Calculate the smallest common multiple of 2 and y.
8
What is the least common multiple of (-9)/(18/4) + 11 and 11?
99
Let s = 3 - 25. Let v = -10 - s. Suppose -v = b - 2*b. What is the smallest common multiple of 20 and b?
60
Let m(z) = z + 4. Let n be m(0). Let v be (3/(-9))/(3/(-27)). What is the common denominator of 3/10 and (v - n)*42/(-8)?
20
Let p(q) = q**3 - 8*q**2 + 5*q - 7. Let i be p(7). Let j = -7 - i. Calculate the least common multiple of j and 8.
56
Let w(y) be the third derivative of -y**5/60 - y**4/4 + y**3/6 + 2*y**2. What is the lowest common multiple of 5 and w(-6)?
5
Let p(y) = 281*y**3 - 3*y**2 + 3*y - 3. Let u be p(2). Let v = -17947/8 + u. Calculate the common denominator of -31/14 and v.
56
Suppose -14 = -5*o + 31. Suppose o*l = 4*l + 40. Let d(b) = b**3 - 2*b**2 - b + 3. What is the smallest common multiple of d(3) and l?
72
Let w(n) = n**2 - 5*n - 8. What is the least common multiple of w(8) and 6?
48
Suppose 0 = f + 9 + 14. Find the common denominator of 3/(1/(f/(-4))) and -8/9.
36
Calculate the lowest common multiple of 5 and 3/(-12)*-22*2.
55
Suppose -5*r - 4*z + 20 = -95, 2*r - 2*z = 28. What is the smallest common multiple of r and 11?
209
Let j be 0 + 14 + (1 - -1). Let v = -10741/8 - -1349. Calculate the common denominator of v and -2*1 - (-109)/j.
16
Let g = 153905/14 + -10988. Find the common denominator of g and -33/10.
70
Let b = 4 - 3. Calculate the smallest common multiple of (-3 - -5)/(2/4) and (b - 2) + (1 - -5).
20
Suppose -3*h + 5*u - 9 = 0, -4*h - 3*u - 50 = -9. Let v(q) = q**2 + 10*q - 3. Let p be v(-9). Let c = h - p. Calculate the lowest common multiple of c and 20.
20
Let u be (2/3)/((-6)/9). Let p(w) = -8*w**3 - w**2 - w. What is the least common multiple of p(u) and -1*(-12)/1 + -2?
40
Let m be 6*(-2 - (-2 - 19)). Find the common denominator of ((-1)/5)/(6/(-1035)) and -2 + m/40 + -2.
20
Let d = 16977/4 - 4222. Calculate the common denominator of d and (-6)/20*(-2795)/78.
4
Find the common denominator of 49/2 and (3/(72/(-115)))/(19/(-76)).
6
Calculate the least common multiple of 11 and (-6)/27 + 58/18.
33
Let j = -147632/9 + 16386. Let m = j - -2579/90. What is the common denominator of (-255)/(-66) + (-1)/2 and m?
110
Suppose 0 = -x + 4*x - 6. Suppose x*r + 3 = r. Let t = r - -7. Calculate the smallest common multiple of t and 22.
44
Calculate the common denominator of -7/18 and 657/(-156) - 3/(-12).
234
Let b(l) = l**3 + 7*l**2 + 6*l + 9. Let q(s) = -s**3 - 4*s**2 - s + 6. What is the least common multiple of b(-6) and q(0)?
18
Let o(u) = 3*u**2 - 2*u - 6. What is the least common multiple of 6 and o(2)?
6
Let i = -447935/66 - -20504/3. Let s = i + -510/11. What is the common denominator of s and -105/22?
22
Suppose -20 = 4*u, 4*f = -3*u + u + 78. What is the least common multiple of 4 and f?
44
Let j = 267415/12 + -22272. Let g = -4905 - -49089/10. What is the common denominator of j and g?
60
Suppose -9 = n - 35. Let k = -16 + n. What is the least common multiple of 10/3 + 6/9 and k?
20
Let g = -167 - -197. What is the smallest common multiple of 12 and g?
60
Let t = 2 - -8. Let z be (24/20)/(4/t). Calculate the common denominator of -81/10 and z/(-6) - (-62)/(-12).
30
Let u(y) = y**2 + 9*y - 1. Calculate the least common multiple of 35 and u(-12).
35
Suppose -4*a + c + 74 = 0, -3*c - 29 = -a - 5. Let u = 40 + -22. Calculate the least common multiple of u and a.
18
Let u = -24 + 30. What is the smallest common multiple of 18 and u?
18
What is the common denominator of (-10)/(-25) + 67/(-10) and -1/9?
90
Let q(a) = -3*a. Let c(m) = 2*m + 11. Let h be c(-6). What is the least common multiple of q(h) and 5?
15
Suppose 2 - 6 = 2*w, -2*c + 32 = 2*w. What is the smallest common multiple of 10 and c?
90
Suppose -3*v + 2 = 4*i, v = -4*i + 4*v + 14. Suppose -33*s = -35*s + 28. What is the lowest common multiple of i and s?
14
Suppose 5*j + 17 = 3*c, 5*j - 95 = -5*c - 0*j. Calculate the lowest common multiple of c and 114.
798
Let l be (0 + 1)*(24 + -6). Calculate the smallest common multiple of 5 and l/14 - 4/14.
5
What is the common denominator of 1/1 - 153/12 and -52/11?
44
Suppose 2*m - 7 = 15. Suppose -w - 1 = 0, w + m = 2*c + 2*w. Calculate the smallest common multiple of 10 and c.
30
Let d be 3 - (-2 + -2 + 3).