t k = b + -147837/37552. What is the common denominator of k and -67/16?
16
Suppose p = l, l + 0*l + 16 = 5*p. Let g(d) = -d**2 - 1. Let u be g(2). Let s(t) = t**3 + 6*t**2 + 3*t - 6. Calculate the lowest common multiple of p and s(u).
4
Suppose 4*z + 5*m + 4 = 0, 20 = 5*z - 4*m - 16. Suppose -3*y - 5*o + 16 = 0, 7*o = 3*y + 4*o. Calculate the smallest common multiple of z and y.
4
Let v be (9/27)/(1/6). What is the common denominator of 1/v - 309/(-60) and 133/18?
180
Suppose o - 6*a + 15 = -4*a, 0 = 2*o + a + 15. Let x = -7 - o. Calculate the lowest common multiple of x and 8.
8
Suppose 32 = 4*i + b - 5*b, 5*b + 15 = 0. Let x(w) = -w + 9. What is the lowest common multiple of x(i) and 6?
12
Let t = -2/18087 - 1428833/361740. What is the common denominator of -5/36 and t?
180
Suppose -4*n = x - n - 26, 5*n = -5*x + 80. Suppose l - 5*l = -3*f - 19, -32 = -5*l + f. What is the least common multiple of l and x?
77
Let b = 2661/220 + -151/20. Let m(r) = 4*r + 1. Let n be m(-1). What is the common denominator of b and 2/((-638)/226 - n)?
110
Let v = 2 - 0. Suppose -d - 18 = -2*d - 2*t, 0 = v*d + 2*t - 28. What is the lowest common multiple of d and 20?
20
Suppose 4*o - 48 = 2*o. Calculate the smallest common multiple of 45 and o.
360
Suppose -7*d + 4 + 24 = 0. Let i = 9 - 6. What is the smallest common multiple of d and i?
12
Let t = 3 + -3. Let z(i) = -i**3 - i + 5. Calculate the lowest common multiple of 5 and z(t).
5
Let a(b) = 248*b - 1. Let r be a(5). Let o = -1802029 + 21609497/12. Let x = r + o. Find the common denominator of -85/16 and x.
48
Let k be (-4)/4 + 1 - -2. Suppose 2*i - 8 = -k*i + j, 0 = 3*i - j - 5. What is the least common multiple of i and 4?
12
Suppose 5*k = -60 + 155. Let q = k - 13. Calculate the least common multiple of q and 1.
6
Let n = 7 + -3. Suppose 0 = -2*c - v + 6*v - 11, 3*v = c + 6. Let a = n + c. Calculate the least common multiple of a and 2.
2
Let j = -1 + 2. Let y(d) = 3*d - 17. What is the lowest common multiple of y(9) and j?
10
Let o = 850 - 5937/7. What is the common denominator of (3 + -1)/((-9)/(-6)) and o?
21
Let r = -40 + 58. What is the common denominator of (-172)/r*(-9)/(-18) and -23/8?
72
Suppose -4*r = 4*g + 14980, 3*r + 3*g - 6*g + 11217 = 0. Let l = -37367/10 - r. What is the common denominator of l and 49/20?
20
Let v = -79134/37925 + 10/1517. Calculate the common denominator of v and 49/10.
50
Let w(t) = 3*t - 10. Let y be w(8). Suppose 0 = -k + 3*i + 6, 3*i + y = 5*k - 4. Suppose -3*q = q - 44. Calculate the lowest common multiple of k and q.
33
Let y be 3961/(-490) - 27/9. Let a = y - -156/49. Calculate the common denominator of -29 and a.
10
Suppose 4*s + 4*x + 8 = 0, s + 10 = -6*x + 3*x. What is the smallest common multiple of s and 10?
10
Let y = -7950 + 111249/14. Let k(a) = a**3 - 9*a**2 + 6. Let q be k(9). Calculate the common denominator of y and 4/(-4)*(-73)/q.
42
Suppose -11 = k + 5*i, k - 25 = -4*k - 5*i. Let s(u) = 8*u. What is the lowest common multiple of s(1) and k?
72
Let b = 21997 - 791797/36. Calculate the common denominator of b and 39/32.
288
Suppose 6*h - 28 = 5*h. What is the lowest common multiple of h and 20?
140
Let s(o) = -o**2 - 5*o + 4. Let m(f) = f**3 - 7*f**2 + 4. Suppose -3*q - 2*q + 35 = 0. What is the lowest common multiple of m(q) and s(-3)?
20
Let w be (-24)/36 + (-223)/(-336). Let r = 8567/336 - w. What is the common denominator of -1 + 1 - (-65)/(-16) and r?
16
Find the common denominator of -22/9 and 315/108*21/10.
72
Calculate the common denominator of 416/12*1/18 and 82/33.
297
Let p(n) = -n**3 - 2*n**2 - 3. What is the lowest common multiple of p(-3) and 10?
30
Let y = -28/45 - 524/315. Calculate the common denominator of -3/2 and y.
14
Let m = -6 + 3. What is the common denominator of 2 + (-146)/(-28) + 1 and (-133)/10*5/m?
42
What is the common denominator of (13 + -14)*(-1 - (-1)/14) and -29/12?
84
Suppose 0 = 3*b - 2*z - 54, -3*z - 90 = -5*b + 2*z. Calculate the lowest common multiple of 4 and b.
36
Let w be (789 - (-4 - -2)) + 1. Let r be 82122/105 - 2/(-7). Let a = w - r. Calculate the common denominator of a and -62/3.
15
Let p be 0 - ((-1272309)/54 + -1). Let o = 23554 - p. Calculate the common denominator of -13/6 and o.
18
Suppose -4*l = 4*g - 0 + 8, 2*g - 1 = 3*l. Calculate the common denominator of 177/12 - -1*1 and (-23)/((-7 + g)/1).
8
Let w be 2/((-2912)/892)*30. Let p = -264/13 - w. Find the common denominator of p and 2 + (162/4 - 2).
14
Find the common denominator of 73/6 and ((400/(-15))/8)/(8/15).
12
Let q be 3*3*5*1. Calculate the common denominator of 10/(-3)*84/q and -1*2/18*-33.
9
Let a(n) = n**2 - 6*n + 2. Let k be a(5). Let u(m) = m**2 + 3*m + 2. Suppose 0 = 4*t - 7*t + 9. Calculate the least common multiple of t and u(k).
6
Let u be (-1 - 510622/(-36)) + 3. Let c(x) = 526*x**3 + 2*x**2 + 2. Let s be c(-3). Let h = s + u. What is the common denominator of h and 65/18?
18
Let k(y) = y**3 + y**2 - 4*y + 4. Suppose -n + 3 = -0*n. Let j be k(n). What is the smallest common multiple of 9 and -3*(j/(-6) - -1)?
99
Let q = -467/9 + 52. Let v = q + 133/18. Find the common denominator of 1/2 and v.
2
Suppose -3*a + 48 = -5*s + 2, -4*s - 24 = 4*a. Let y = s + 12. Suppose 0 = 13*k - 7*k - 48. Calculate the least common multiple of y and k.
8
Suppose -18 = -0*x - 3*x. Suppose -f - x = -2. Calculate the common denominator of f/(-6)*(-213)/(-20) and -48.
10
Let d be 14600/(-65862) - 4/(-18). Let h = 267143/65862 - d. Calculate the common denominator of (-375)/144*-2*(-4)/(-3) and h.
18
Suppose 5*d + 8 = -42. What is the lowest common multiple of 5 and 2*-1 + d/(-2)?
15
Suppose -14*x + 25 = -9*x. Suppose 5*i + 2*k = 44, -4*i - x*k + 32 + 10 = 0. Calculate the lowest common multiple of 16 and i.
16
Let o(a) = -a**2 - 9*a - 2. Calculate the least common multiple of 14 and o(-8).
42
Suppose x + 6 = 14. Calculate the lowest common multiple of x and 14.
56
Suppose 2*n - 22 = -2*b, -5*n + 2*b + 19 = -2*b. Let o = n + -4. Suppose o*z = -2*z + 10. Calculate the lowest common multiple of z and 4.
4
Suppose 5*v - 6 + 40 = 3*x, -2*x = -3*v - 22. Suppose -1 = -2*i + 1. Calculate the smallest common multiple of x and 4*i*3 + -2.
40
Suppose 3*h = 3*k - 2*k - 19, 2*k = -5*h + 27. What is the common denominator of -31/4 and -3 - ((-98)/k - 2)?
8
Suppose -2*z = -3*y + 28, 0*z + 32 = 3*y + 2*z. Calculate the least common multiple of 3 and y.
30
Suppose -5*p - 4*w + 93 = 0, 2*p - 5*p + 51 = 4*w. Calculate the lowest common multiple of p and 10.
210
Let x = -69871/994 - -492/7. Let h = -390/71 + x. What is the common denominator of h and -103/12?
12
Suppose -4*k - 5 + 17 = 0, 2*k - 12 = -m. Let q = 14 + -2. What is the least common multiple of 2/m - (-65)/3 and q?
132
Let s(y) = -y**2 + 2. Let k be s(3). Let j = k + 17. Calculate the lowest common multiple of 2 and j.
10
Let m = 25855/16 + -1614. Calculate the common denominator of -97/8 and m.
16
Let m = 6 - 6. Suppose 4*h = -m + 24. What is the lowest common multiple of h and 6?
6
Let r(k) = -k**3 + 6*k**2 + 5*k + 10. Let z be r(7). Let j = 1048 + -4275/4. Calculate the common denominator of j and (-114)/(-2)*2/z.
4
Let k = 11621/10 + -1173. What is the common denominator of k and -83/14?
70
Find the common denominator of 23/5 and 2 - (8/16 - 33/(-14)).
35
Let q = 3/50 - 163/50. Calculate the common denominator of q and -50/7.
35
Let z = -5531 + 132721/24. Calculate the common denominator of 39/7 and z.
168
Let p = 10 + -6. Calculate the smallest common multiple of (-1 - -2) + -4 - -11 and p.
8
Suppose 108 = 5*c - 52. Calculate the lowest common multiple of c and 22.
352
Let r be -2 - 13938735/(-717831) - 0. Let c = r + 1/1697. Let i = c + -98/47. Find the common denominator of -93/10 and i.
30
Let i = -17 - 22. Calculate the common denominator of 2/4 + (-195)/(-42) and (i/4)/(18/(-28)).
42
What is the common denominator of 214/28 + (-1)/(-2) and ((-4)/(-10))/((-16)/(-35))?
56
Let l(z) = 2*z - 1. Calculate the least common multiple of l(5) and 3.
9
Let n(l) = l**2 - 4*l - 7. Let b be n(6). Suppose -a = -b*m + 18, -2*m - m = 2*a - 3. Suppose m*t - 4 = 5. Calculate the smallest common multiple of t and 10.
30
Let n = 16/69 - 328/621. Calculate the common denominator of n and -94/15.
135
Suppose 2 = 3*l - 7