1
Let p(j) = j**3 - 11*j**2 - 12*j + 14. Suppose -8 = a - 5*m, m - 16 = -2*a + 12. What is the least common multiple of p(a) and 8?
56
Let n = 12267/22 + -556. Let z = 18 + -8. What is the common denominator of z/96 - (-3)/(-18) and n?
176
Suppose 13*g = 16*g - 48. Let r = -6 + 18. Calculate the least common multiple of g and r.
48
Let d = -2/315 + 3539/630. Let c = 5 + -4. Calculate the common denominator of (-33)/20 + c - 0 and d.
180
Let c(w) = -9*w + 11. Find the common denominator of (2/(-9))/((-1)/2) and c(-2).
9
Let k = 20 - 11. What is the common denominator of 119/6 and (-139)/(-6) - k/54?
6
Suppose -5*o + 0 - 5 = 0. Find the common denominator of 666/(-195) + o/5 and -12/7.
91
Suppose 2*n = -2*b + 64, -4*b + 245 - 85 = -4*n. Calculate the least common multiple of b and 2.
36
Let v be 3/(-6) - 5/(-2). Let y(n) = -n**3 + 4*n**2 - 2. Let q be y(4). Find the common denominator of (q/(-27))/(v/186) and -59/9.
9
Let q = 4 + -1. Suppose 5*b - 4*d - 1070 = 408, 3*b = q*d + 885. Calculate the common denominator of -26 and 2/(-3) - b/48.
8
Let j = 0 - -7. What is the smallest common multiple of 7 and j?
7
Find the common denominator of (-14)/(-2)*15/(-40) and (-24)/16 + (-15)/2.
8
Suppose 0 = 5*c - 12 + 7. What is the smallest common multiple of 10 and c?
10
Suppose 10 = -5*s - 5, 0 = -4*h - 3*s - 1. Let u(c) = c + 12. Calculate the smallest common multiple of h and u(-6).
6
Suppose 0 = -4*v - 0*v + 184. Let n = -509 + 959/2. What is the common denominator of n and v?
2
Suppose 2*m + 174 = -198. Let q = -12983/4 + 3230. Find the common denominator of (-1 - 0) + m/8 and q.
4
Let q = 4 - -1. Suppose q*z = 384 + 126. Find the common denominator of 103/10 and ((-4)/8)/((-11)/z).
110
Let s = 27 + -22. Let h = 3 + -3. Suppose h = 5*f - 0*f - 5. What is the smallest common multiple of s and f?
5
Let j = -3578 + 21365/6. Calculate the common denominator of 23/6 and j.
6
Calculate the common denominator of 37/6 and (-2)/10 + -7 + (-4435)/(-550).
66
Suppose -2 = -r, -4*f = -0*f + 2*r - 180. Suppose -4 = 5*c - f. Suppose 2*l - l - 10 = 0. Calculate the lowest common multiple of l and c.
40
Let k = -70/37 - 817/370. What is the common denominator of k and 11/14?
70
Suppose 7*l = 2*l. Suppose l = 2*a - 0*a - 36. Calculate the smallest common multiple of 22 and a.
198
Suppose 0*g - 6 = -3*g, 0 = 5*o - g - 58. Calculate the smallest common multiple of 10 and o.
60
Find the common denominator of (8/80)/((-4)/(-370)) and -25/2.
4
What is the common denominator of 0*1/5 + (-62)/(-30) and 65/6?
30
Let y be 20/12 - (-2)/(-3). Let z = 37 + -21. What is the least common multiple of ((-8)/(-10))/(y/15) and z?
48
Let l = 62 - 193. What is the common denominator of 9/(-15) - 51/(-10) and l/12 - (-1)/(-4)?
6
Let j(q) = -q**2 - 9*q - 7. Suppose 5*l = x - 20 - 17, -4*x = 3*l + 13. What is the least common multiple of j(l) and 4?
28
Suppose 4*x = -2*m + 46, 0 = 6*x - 2*x + 4*m - 56. Let w(l) = l**3 + 6*l**2 - 26*l + 10. What is the least common multiple of x and w(-9)?
9
Let k = 1029/172 - 10/43. Let x = -379/2 - -717/4. Calculate the common denominator of x and k.
4
Find the common denominator of (-396)/40 + (-4 - -6) + -1 and (-238)/8*9/(-21).
20
Let p(u) = u**3 + 4*u**2 - 8*u - 4. Let d be p(-5). Let l = 7 + d. What is the smallest common multiple of 4/l + (-210)/(-27) and 4?
8
Let p = 477 + -7629/16. Calculate the common denominator of p and -93/16.
16
Let s(l) = l**2 - 3*l - 2. Let j be s(4). Suppose 2*m = -0*m - 4*v + 28, -j*m + 2*v + 34 = 0. What is the lowest common multiple of 8 and m?
16
Let z = -45/22 - -436/33. Calculate the common denominator of -35/9 and z.
18
Calculate the lowest common multiple of 5*1 + (4 - (-1 - -4)) and 9.
18
Let d = 1 + -7. Calculate the common denominator of 28/(-112) + (-90)/4 and (61/12)/((-10)/d).
20
Suppose 3*u = -0*u. Let n = 18 + 14. Suppose 5*z - n + 2 = u. Calculate the lowest common multiple of z and 20.
60
Calculate the least common multiple of (18/(9/3))/((-15)/(-20)) and 2.
8
Let x(k) = -k**3 - 7*k**2 + 6*k - 3. Calculate the smallest common multiple of x(-8) and 11.
143
Let n = 153 - 91. Let g be 7/4 + 5/20. Suppose -g*u = -5*s - n, -3*u + 4*s + 99 = -1. What is the common denominator of u and -7/11?
11
Let m = -2838 - -33983/12. Calculate the common denominator of m and -91/2.
12
Let y be 2 - ((-1076)/2948 - -1). Let t = y + 6/67. Find the common denominator of t and 57/10.
110
Calculate the common denominator of -8 + 8 + (-82)/(-8) and (90/12)/(7 + -1).
4
Let f(u) = -2*u + 22. What is the smallest common multiple of 14 and f(6)?
70
Suppose -5 = 5*d, 5*d - 28 = -5*y + 3*d. Calculate the lowest common multiple of y and 10.
30
What is the common denominator of -45/7 and ((0 + 53)*(-7)/77)/1?
77
Let u be 2/3 + 19/3. Let d = 19 - u. Suppose 0 = 2*s - d - 0. Calculate the lowest common multiple of 12 and s.
12
Let i = -157 - -1079/7. Calculate the common denominator of (-16)/(-36)*(-30)/(-16) and i.
42
Let k = -32 + 46. Find the common denominator of (k/(-8))/(4/(-18)) and -97/2.
8
Let l = 311690/107151 + 2/9741. Find the common denominator of l and -23/4.
44
What is the lowest common multiple of 16/(-40) - (-164)/10 and 8?
16
Find the common denominator of (-8)/12 + (-2 - -2) and -46/9.
9
Calculate the least common multiple of 37 and ((-6)/(-10))/((-3)/(-15)).
111
Let v(n) = n**3 + 17*n**2 - n - 13. Suppose 19 = -i - 5*y, i = -i - 5*y - 13. Let z = i + 14. Calculate the lowest common multiple of v(-17) and z.
20
Calculate the common denominator of 22 and 3*246/(-648)*-2.
18
Suppose 0 = -0*h - 3*h + 4*b - 37, -9 = 3*h + 3*b. Let l(z) = -z + 9. What is the lowest common multiple of l(h) and 5?
80
Find the common denominator of 79/4 and -3 + 292/32 - 2.
8
Suppose 773 = 5*r - 3*k - 558, 0 = -4*r + k + 1062. Let h(o) = -o**2 - o - 5. Let d be h(0). Calculate the common denominator of (1/d)/(12/r) and 1/10.
60
Let c(z) be the second derivative of -z**3 + z**2 - z. Calculate the smallest common multiple of c(-2) and 2.
14
Let g(j) = 2*j - 7. Let k be g(6). Let m = k + 2. Calculate the lowest common multiple of 4 and m.
28
Let n = 138 + -77. Suppose 5*a - 59 - n = 0. Let s = -14 + a. Calculate the least common multiple of 16 and s.
80
Let k = -1483631403/980 + 1513909. Let g = -1/196 + k. Calculate the common denominator of 13/6 and g.
30
Let s = 9 - 3. Calculate the common denominator of (-695)/(-60) + (-2)/s and (-362)/96 + (-6)/9.
16
Suppose 3*j + 1533 = 6*j. Let c = 3079/6 - j. Find the common denominator of c and (9/(162/294))/(8/(-6)).
12
Suppose 3*a = a - 4*x + 2524, 4*x + 6240 = 5*a. Let d = a + -8790/7. Find the common denominator of d and 20/3.
21
Let c be (-4)/(-2)*(4 + 0). Calculate the lowest common multiple of 7 and 78/c + (-3)/(-12).
70
Let y(d) = -7*d**2 + d**3 - 5*d + 9*d**2 + 0 - 2. Suppose -3*z + 2*p + 36 = 0, 0 = 2*z + 5*p - 0 - 24. What is the smallest common multiple of z and y(-3)?
12
Let u(p) = 2*p**2 - 5*p. Let i be u(6). Suppose -53 = -4*z - 5*n + i, 46 = 2*z + 2*n. What is the lowest common multiple of z and 18?
180
Suppose 5*j - 48 = -8. Let t = 12 - 8. Suppose 19 + 9 = t*y. Calculate the lowest common multiple of j and y.
56
Let k be 13422/(-304)*8/(-18). Let s = k + -262/19. Let y = -54785/7688 - -1/961. Find the common denominator of s and y.
24
Let s(k) = -k - 2*k**2 + 4*k**2 + 3 - 6*k + 2*k. Let o = -2 - -5. What is the smallest common multiple of s(o) and 6?
6
Calculate the common denominator of (-13*1)/((-48)/(-60)) and (-74)/(-18) + (-8)/12.
36
Let q(t) = -t**3 - 6*t**2 + 2. Let p be q(-6). Suppose -6*r + r = -b + 12, p*r = 2*b. What is the lowest common multiple of (4/b)/(14/(-105)) and 9?
90
Suppose 5*c + 2 = 3*v - 13, -5*v = -25. Suppose c*u - u + 32 = 2*d, 5*d - u - 80 = 0. Calculate the lowest common multiple of d and 18.
144
Let s be (4/(-12))/(2/30). Let h(y) = -y**2 - 5*y + 2. Calculate the least common multiple of 20 and h(s).
20
Let c be 5/20 + (-8050)/8. Let q = 16061/16 + c. Let m = 10/21 - 29/42. Calculate the common denominator of m and q.
112
Suppose -2 = -2*b - 4*s, -2*b - 4*s - 4 = -6*b. Calculate the smallest common multiple of 0 - (b + 9/(-1)) and 19 + 1 + (-1 - 1).
72
Suppose -3*r = 2*r + g - 12, -6 = 2*r - 5*g. What is the common denominator of 8/7 and (r - 1) + (-24)/11?