 -63/20.
180
Let q(z) = -z - 6. Let j be q(3). What is the common denominator of 71/16 and 142/(-6)*j/12?
16
Let c(a) = a**2 + 14*a + 16. Let p be c(-13). Find the common denominator of 8/11 and p/6 - 102/20.
55
Let y = -2 - 31. What is the common denominator of 1/8 and 4/((-64)/y) + -1?
16
Let t = -40 - -68. What is the least common multiple of 14 and t?
28
Suppose -86 = 3*k + z, 10 = -3*k + 5*z - 46. Let h = -4891 + 78329/16. What is the common denominator of h and k/20 - (-1)/4?
80
Let f = 2 - 0. Suppose -5*i - 21 = -f*i. Calculate the common denominator of -63/5 and (-250)/(-4)*i/(-70).
20
Suppose -3*i + i = -6. Suppose 4*n - 3 = i*n. Suppose -33 = -n*z - 12. What is the lowest common multiple of z and 3?
21
Let r(l) = -4*l - 4. Calculate the least common multiple of r(-2) and 16.
16
Let s(k) = k**3 + 4*k**2 + 5. Let p be -1*3/6*0. Suppose p = 3*f + 2*f - 5. Calculate the least common multiple of f and s(-4).
5
Suppose -3*z + 0*z = -18. Suppose -4*g + 2*g = -6. Let j = z + g. What is the smallest common multiple of j and 8?
72
Calculate the common denominator of 47/12 and 3 + 345/(-36) + -1.
12
Let s be (1 - 2) + 1359/2. Let b = s - 1982/3. Calculate the common denominator of b and -2 - (-2 - (-8)/10).
30
Let o = 436 - 819/2. Find the common denominator of -93/16 and o.
16
Calculate the common denominator of 925/(-10)*1/5 and -149/12.
12
Let o = 3 - 13. What is the common denominator of ((198/(-4))/(-1))/o and (17/(-17))/((8/(-82))/(-2))?
20
Let g(t) = t**3 + 10*t**2 + 12. What is the least common multiple of g(-10) and 27?
108
Let z be (3/(-9))/(1/(-6)). Suppose -2*q + g = -g - 22, g - 13 = -z*q. Calculate the lowest common multiple of q and 5.
40
Let d be (-5)/(-30) - (-1133)/225. Let g = d + -11/75. What is the common denominator of (-2 - 1)*2/8 and g?
36
Let i = -1 + 2. Suppose 0 = m + 4*m - 25, -4*h = 2*m - 50. What is the smallest common multiple of h and i?
10
What is the smallest common multiple of 19/3 + (-1)/3 and 9?
18
Let p = 15 - 10. Let x be ((-8)/(-10))/(1/p). Suppose 0 = q - 4*q - x*k + 21, 0 = -k. What is the least common multiple of 3 and q?
21
What is the common denominator of 1 + -1 - 166/(-16) and -24/11?
88
Let t = 1/986236545 + -6042890475161/265626376120. Let k = -1/2424 + t. Calculate the common denominator of -57/10 and k.
20
Let p(i) = 12*i**3 - 2*i**2 - i + 2. What is the least common multiple of 10 and p(1)?
110
Suppose 12 = 2*k - 2*s, 20 = -5*s - 0. Let b = 6 - k. Suppose b*j = -5*w + 66, 12 - 52 = -3*w - 2*j. What is the smallest common multiple of 8 and w?
56
Let o = 7 + -19. Find the common denominator of -1/22 and o/(-8) + (-93)/16.
176
Let n(p) be the third derivative of p**4/12 + 3*p**3 + 2*p**2. Calculate the smallest common multiple of n(0) and 8.
72
Let t be (-2)/6 + (-152)/(-6). Suppose 0 = 4*d + d - t. Calculate the least common multiple of d and 3 + -2 + 1 + 2.
20
What is the common denominator of (-2)/11*(-310)/(-40) and 101/2?
22
Let c be (-207465)/20*(-1)/(-3). Let h = c + 3439. What is the common denominator of h and 59/4?
4
Suppose -k + 5 = -0. Suppose -p + 4*o = -29, 10*p - k*o = 5*p + 70. Calculate the smallest common multiple of 7 and p.
63
Suppose 2*m + 23 + 63 = 4*o, 0 = 3*o + 3*m - 51. What is the lowest common multiple of o and 12?
60
Suppose -36 = -3*g + 3*i, 5*g - 2*i + 10 - 58 = 0. Calculate the smallest common multiple of 10 and g.
40
Suppose -3*b + 11 = d, 4*d - 4 = 2*b - 4*b. Let w = d + 5. What is the smallest common multiple of 6 and (w - 1)*(-28)/(-6)?
42
Let w be 7197/9840 - (-6 + 4). Let j = w - 9/205. Find the common denominator of 71/14 and j.
112
Suppose 3*a - 1 = 5. Let c = 42 - 30. What is the lowest common multiple of a and c?
12
Let i = -16063/30 - -2623/5. What is the common denominator of 0 + 2 + 155/(-15) + 4 and i?
6
Suppose -3*s + 2*g = -3*g - 13, 4*g + 6 = -2*s. What is the smallest common multiple of s and 7?
7
Let m = 1819/74 + 28/111. Find the common denominator of (-2)/(-3) + (5 - (-1195)/(-150)) and m.
30
Let m be (-5)/(-20) - 21/4. Find the common denominator of -5/4 and m/22 + (-2 - -2).
44
Suppose -2*r - 14 = -2*w, -3*w - 3*r = -4 + 1. Suppose 2*l + 5*c - 28 = -2, 4*c + 80 = w*l. What is the lowest common multiple of 12 and l?
36
Calculate the common denominator of 230/(-24) - (-3 - 6/(-2)) and 77/30.
60
Suppose 0 = -5*n - 5 + 20. Suppose -14 = -p - 0*p + a, -5*p + n*a = -62. Calculate the lowest common multiple of 2 and p.
10
Let p be 10*((-17)/(-5) - 3). What is the least common multiple of 4 and 66/p + (-2)/4?
16
Suppose t - 4 - 3 = 0. What is the smallest common multiple of t and 8?
56
Let x be ((1 + -2)*-5)/1. Let q(f) = -f**2 + 5*f + 4. Calculate the smallest common multiple of q(x) and 20.
20
Let o be 4/(-16) + 30/(-8). What is the common denominator of (o/60)/(4/(-279)) and -99/8?
40
Let z = -16067/9 - -1782. Calculate the common denominator of z and 47.
9
Let i(l) = 9*l**3 - 2*l**2 + 1. Let b = -7 + 6. What is the smallest common multiple of i(1) and 0 - 6/3*b?
8
Suppose 0*u + u - j = 9, u - 5*j - 13 = 0. What is the smallest common multiple of u and 9?
72
Let k be ((-15)/(-1735))/((-6)/(-28)). Let i = -17946/2429 - k. What is the common denominator of i and -41/2?
14
Let t = 0 - -2. Let n = -64/3 - -41. Find the common denominator of n and 1/t*2/(-5).
15
Let x(p) = p**2 - 3*p + 2. Suppose -3*b = -64 + 16. What is the least common multiple of b and x(6)?
80
Suppose -1 = c - 7. Suppose 2*b = c*b - 8. Calculate the smallest common multiple of b and (-87)/(-4) + 3/12.
22
Let i(u) = -u**2 - 7*u + 6. Let k(j) = j**3 - 6*j**2 - 2*j + 9. Let v be k(6). Let w = v - -7. Calculate the smallest common multiple of i(-7) and w.
12
Suppose 106 = 5*i - 4*n, -4*n - 108 = -5*i - 2*n. What is the lowest common multiple of ((-2)/(-3))/(3/72) and i?
176
Let n = -19445 - -389011/20. What is the common denominator of ((-6)/4)/((-567)/1281) and n?
180
Calculate the least common multiple of -6*4/((-24)/22) and 10.
110
Let g(b) = 4*b - 6. Let i be g(6). What is the common denominator of (-228)/i*3/16 and -32/9?
72
Let h = -86 + 52. Let g = 56 + h. What is the least common multiple of g and 14?
154
Suppose 0*j + 4 = j. Let b = -111 - -114. What is the smallest common multiple of b and j?
12
Calculate the common denominator of -149/12 and -4 - (-7158)/624 - 4/(-26).
24
Suppose k - 24 = -3*j - 4*k, -58 = -4*j + 2*k. Suppose 0 = -u + 2 - 1. Calculate the smallest common multiple of u and j.
13
Let o = -595 - -1117/2. Let w = -536 - -2717/5. Find the common denominator of w and o.
10
What is the lowest common multiple of 80 and (-112)/(-140) - (-192)/10?
80
Suppose -z - y = 2*z + 24, 0 = 5*z + 2*y + 39. Suppose -5*b - 5*k - 35 = 0, -2*k + 6*k - 17 = 5*b. Let u = b - z. What is the least common multiple of u and 2?
4
Suppose -t + 0*t - 4*i = -22, 0 = -2*t + 2*i + 34. Let v(b) = -2*b + 6. What is the least common multiple of t and v(-6)?
18
Suppose -3*i + 105 = -8*i. Calculate the common denominator of 6/(-21) - 13/i and 60/(-8)*(5 - -1).
3
Let w be 2*1/(-2)*-1. Let b be ((-6)/5)/(33/(-110)). Suppose w = x - b. What is the smallest common multiple of x and 1?
5
Let b(j) = -j**3 + 11*j**2 - 17*j - 1. Calculate the lowest common multiple of 22 and b(9).
88
Suppose 0 = 2*z - 0*z - 170. Let v = z + -58. Suppose -3*n = -9 - v. Calculate the lowest common multiple of n and 10.
60
Let w be ((-3)/(-55))/((-6)/(-8361)). Let i = w + -945/11. Find the common denominator of 27/14 and i.
70
Let x(y) be the second derivative of y**3/6 + y**2/2 - 8*y. Calculate the least common multiple of x(6) and 21.
21
Let w = -2819/306 - -99/17. Find the common denominator of 11/20 and w.
180
Let f = -3424507/1530616 + -48/5171. Let y = 236/37 - f. What is the common denominator of -19/8 and y?
8
Let f = 32551/15 + -2171. What is the common denominator of f and 8/27?
135
Suppose 5*s - 50 = -5*j, 2*s - j - j - 4 = 0. Let x(a) = 5*a - 4. What is the lowest common multiple of 22 and x(s)?
286
Let f = 6419/11323 + -96/169. Let l = -27006/4355 - f. Calculate the common denominator of 2/9 + 191/(-90) and l.
10
Suppose -3*p - l + 1 = -1, 26 = 5*p - 4*l. What is the smallest common multiple of p and 23?
46
Calculate the least common multiple of (-5)/2*(-22 - -18) and 8.
40
Let s be (-2 - 2)*191/(-2). Let b =