t g = -192 - -472. What is the least common multiple of 4 - (0 + -28)*1 and (2/5)/(7/g)?
32
Suppose -9 = -2*n - 1. Let t = -73 - -77. Calculate the lowest common multiple of n and t.
4
Let r(j) = j**2 + 8*j. Let l be r(-8). Find the common denominator of (1/(-8) + l)*34 and -3/10.
20
Suppose 8*w + 296 = -0. What is the common denominator of 85/12 and w?
12
Let f = 26 + -9. Suppose -k + 2 = 2*r, 2*k = 4*r - r - f. Suppose -r*a + 48 = -0*a. What is the least common multiple of a and 12?
48
Let v = -174/7 - -1054/21. What is the common denominator of 35/3 and v?
3
Let w = -2/83723 + -311365825/502338. Let o = 622 + w. What is the common denominator of -95/22 and o?
66
Let s(z) = z**2 + 3*z + 3. Let j be s(-6). Let v = j - 29. What is the common denominator of v/12*250/(-8) and -53/6?
6
Let d(o) = -20*o**3 + o**2 + 4*o + 4. What is the least common multiple of d(-1) and 6?
42
Suppose -5*q - 5*g = -15, 4*q - 4*g = -0*q - 4. Let w be ((-7)/(-1) - -1)*q. Calculate the lowest common multiple of 3 and (-4)/w + (-6)/(-4).
3
Let p = -11 - -17. Calculate the smallest common multiple of 2/(1 + (-2)/p) and (-1 - -2)*(-3 - -5).
6
Suppose 0*n + 3*n - 126 = 0. What is the smallest common multiple of n and 6?
42
Let v(g) = -2*g - 13. What is the smallest common multiple of 2 and v(-9)?
10
Let h be ((-2473611)/49830)/7 - -2. Let t = h + 1/1510. Find the common denominator of t and 33/2.
22
Let v = 60 - 14. Suppose 0 = -3*s + 4*o + v, 0*o = -2*s - 5*o. What is the least common multiple of 11 and s?
110
Suppose -6*w + 4*w = -6. Suppose 0 = -4*p + 4*n + 20, w*p = 5*p - 4*n - 6. What is the smallest common multiple of p and 4?
28
Let g = 12497 - 6579. Let v be (g/8)/(-1) + -1. Let t = 745 + v. Find the common denominator of t and 81/10.
20
Suppose -10 = 9*y - 10*y. Calculate the smallest common multiple of 26 and y.
130
Suppose 21 = -5*o + 4*v, -o - 2*o + 17 = 5*v. Let c = o - -2. What is the smallest common multiple of 3 and c?
3
Let h(s) = s**2 - 6*s - 5. Calculate the lowest common multiple of 22 and h(7).
22
Suppose 0 = -4*n + 2*n + 10. Suppose -n*j + j = -12. Calculate the lowest common multiple of 2*5/3*3 and j.
30
Suppose -7*m = -3*m + 32. Let x = m + -1. Let v = -6 - x. Calculate the least common multiple of v and 1.
3
Let r = -1167/4 - -288. Find the common denominator of r and -23/9.
36
Find the common denominator of 8/(-36) + 2014/(-252) and -137/18.
126
Suppose -4*u + 1 = -27. Calculate the least common multiple of 6 and u.
42
Suppose -2*l + 4*v = 1470, -l + 4*v + 351 = 1078. Let o = l + 14863/20. Calculate the common denominator of -69/4 and o.
20
What is the least common multiple of 11 and (-2)/(-8) + 1 + 156/16?
11
Let b = 48604/7 + -6916. Let n = 158087/14 - 11287. Let m = n - b. Find the common denominator of 73/9 and m.
18
Let h be (-1)/(-1)*(12 + 1). Let x(q) = -q**2 - 12*q - 15. Let t be x(-10). Suppose d + t = h. What is the least common multiple of 8 and d?
8
What is the smallest common multiple of ((-3)/9 + 2)*3 and 2 + (0 - 3) - -12?
55
Calculate the common denominator of (-3)/(-72)*729/6 and 47/4.
16
Let o = 75 + -57. Suppose -25 = -4*i - i. Suppose 10 = i*a - 40. What is the least common multiple of o and a?
90
Let x = 3102 - 43527/14. Calculate the common denominator of 73/44 and x.
308
Suppose 3*j = -5*n + 22, -n + 6 = 2*j - j. Calculate the lowest common multiple of 10 and j.
20
Suppose 0 - 4 = -2*i + 2*k, -i + 12 = k. Calculate the smallest common multiple of 1 and i.
7
Let v = -2175 - -10919/5. Calculate the common denominator of v and 19.
5
Let h = 1 + 2. What is the lowest common multiple of 2/6*(4 - 1) and h?
3
Suppose -2*r + 5*r = -42. Let j be 12/r*(-6 + -1). Find the common denominator of -21*j/(-8) - -2 and 61/12.
12
Suppose -4*b = r - 30, 2*r + 5*b - 44 - 4 = 0. Suppose 0 = -5*u + r + 6. Calculate the smallest common multiple of (-36)/(-4) - 0/3 and u.
36
Let q = 6005/366 - -270/61. Calculate the common denominator of (-2418)/432 + (-4)/(-18) and q.
24
Suppose -2*w = 32 + 64. What is the common denominator of 139/6 and ((-9)/w)/(12/(-376))?
24
Suppose m - 22 = 2*c + 10, -5*c = 5*m - 160. Suppose -28 = -5*p + f + 12, m = 4*p - 3*f. What is the smallest common multiple of p and 8?
8
Let d = 5711/2 + -39364/3. Let f be 3858*(0 - 16/(-6)). Let c = f + d. What is the common denominator of 65/16 and c?
48
Let g = 80719/22 + -3668. What is the common denominator of 27/10 and g?
110
Suppose 2*c - 4*j - 136 = 0, -2*c = 3*c + 4*j - 382. Calculate the common denominator of ((-11)/(-12) + 3)*(-2)/1 and c/27*(-5 + 2).
18
Let u = -54 - -55. What is the least common multiple of u and 34?
34
Let f(k) = -k - 3. Suppose 12 = 4*q - 0*q. Suppose -q*d + 7 = -8. Calculate the least common multiple of f(-4) and d.
5
Suppose g - 11 = -3. Let a = 2 + g. What is the lowest common multiple of 10 and a?
10
Let q be -26 - (-2)/(1 - 3). Suppose 8 = 4*x - 36. Calculate the least common multiple of (-208)/(-36) + (-6)/q and x.
66
Let s(o) = o**3 - 9*o**2 + o + 5. What is the common denominator of s(9) and -37/6?
6
Let y(z) = z**3 - 5*z**2 - 5*z + 2. Let n be (-4)/6*(-18)/3. Suppose -5*t + 20 = h, h = t + 6*h - n. What is the lowest common multiple of t and y(6)?
8
Calculate the common denominator of 4/6 - (-188)/(-66) and -43/3.
33
Let j(s) = -3*s**3 + 2. Let g(a) = -a**3 - a**2 + a + 1. Let q(f) = 4*g(f) - j(f). What is the smallest common multiple of q(-5) and 4?
28
Let b = -3803/2780 + -62/417. Calculate the common denominator of b and -137/6.
60
Let k = 2 - -2. Suppose 2*y - 4*y - 8 = g, 0 = -y + 3*g - k. Let w(d) = -d**3 - 4*d**2 - 3*d - 2. Calculate the least common multiple of w(y) and 2.
10
Calculate the common denominator of -37/20 and 7/(-77)*(-61)/(-2).
220
Suppose -5*d = -5*c + 60, 0*d = 2*c - 5*d - 39. Calculate the smallest common multiple of c and ((-154)/70)/(2/(-10)).
77
Suppose -3*k = -23485 - 20. Let q = k - 140963/18. Let h = -1639 - -9811/6. Calculate the common denominator of q and h.
18
Let m(r) = 13*r - 4. Calculate the least common multiple of 18 and m(2).
198
Let q = 8 + -5. Suppose -2*g - 22 = -q*g. Calculate the least common multiple of g and 10.
110
Let s = 192 - -566. Let j = s + -3011/4. Find the common denominator of j and (154/4 - 0)/(-9).
36
Let d = -11 - -21. Suppose -6*s + s = -d. What is the least common multiple of s and 6?
6
Let l = 1757 - 3601/2. Calculate the common denominator of 2/(-4) - 75/(-42) and l.
14
Suppose -5*f - 433 = -4*b, 2*b + 4*f = 5*f + 215. Let p = b + -541. Calculate the common denominator of -101/6 and p/(-48) - (-4)/(-6).
24
Find the common denominator of -38/9 and 11/77 - 460/231.
99
Let j = 468 - 2801/6. Let r = -122 - -82. Find the common denominator of j and 614/r + (-4)/10.
12
Suppose 3 + 3 = o. Calculate the smallest common multiple of 2 and o.
6
Let r(u) = 16*u + 2. Let l(s) = s**3 + s + 20. What is the least common multiple of r(1) and l(0)?
180
Let n = -138 + 144. Calculate the lowest common multiple of n and 18.
18
Let g = 178679/2103915 - 1/12751. Let h = 2319/110 + g. Find the common denominator of 0 - (12/27 + -1) and h.
18
Let l(p) = p - 7. What is the least common multiple of l(19) and 12?
12
Let w be 40/15*6/4. Let r be (125/(-5))/(2/(-2)). Suppose 11 + r = w*c. Calculate the lowest common multiple of 4 and c.
36
Let o(p) = p**3 - 2*p**2 - p + 4. Let v be o(2). Calculate the common denominator of (3/v)/((-55)/25) and -13/18.
198
Let z = -178 - -65. Let p = 511 - 6241/12. Find the common denominator of (z/10)/((-12)/10) and p.
12
Suppose -2*z + 4*n - n + 9 = 0, 2*z + 4*n = 44. Calculate the smallest common multiple of z and 2.
12
Calculate the common denominator of (-1)/(-8) + (-12)/(-6) and 484/(-16)*(-4)/(-18).
72
Let s(n) = -n**3 - n**2 - n + 3. Let h be s(0). Calculate the lowest common multiple of 8 and 12*h/(-3 + 6).
24
Let k = -2288 + 442. Let y = 11005/6 + k. Let o = 57511/12 - 4783. What is the common denominator of o and y?
12
Suppose 0 = 5*j + l - 0*l - 41, 4 = 4*l. What is the least common multiple of 14 and j?
56
Let z be (-26)/(-4) + 3/(-2). Suppose -4*r + 1 + 7 = 0, z*r - 40 = -3*n. Calculate the common denominator of 363/(-30) - 4/n and -11.
2
Let f(p) be the third derivative of -p**6/120 + p**5/30 + p**4/8 + 5*p**3/6 - 2*p**2. Let u be f(6). What is the common de