9. Let a(v) = v + 4. What is the least common multiple of a(0) and z?
12
Let r(w) = -w**3 + 8*w**2 - 7*w - 4. Let v be r(7). Find the common denominator of v/(-22) + 41/77 and 4/(-6) + 142/(-12).
14
Find the common denominator of (3 - 30/8)*(-18)/(-12) and -4/37.
296
Suppose -4*j = -9*j - 11585. Let h be (3 + (-108)/30)/((-1)/5). What is the common denominator of -36 and (-1)/h + j/(-210)?
10
Let j = -247/24 - -69/8. Suppose 0*a + 2*a = 734. Let z = -1453/4 + a. Calculate the common denominator of j and z.
12
Calculate the lowest common multiple of 10 and 23 + -4 + 2 - 1.
20
Let h(n) be the second derivative of -n**5/20 + 2*n**4/3 + n**3/6 + 5*n**2 + 3*n. Calculate the least common multiple of 14 and h(8).
126
Let l be (-6)/(-2)*7108/(-6). Let j = l + 17831/5. Find the common denominator of j and 1/11.
55
Let x(t) = -t**3 - 5*t**2 + 5*t - 5. Let j = 6 - 8. Let k = j - 4. Calculate the least common multiple of x(k) and 3.
3
Let m = 531 + -1092. Let r be (-5)/(5/(-2)) - m. Let y = r - 3389/6. Calculate the common denominator of y and 7/6.
6
Suppose 3*n - 8*n - 4*m = -82, -n = 4*m - 10. Let h(q) = q**2 - 4. What is the lowest common multiple of h(-4) and n?
36
Let g = 26 + -24. Suppose -g*p + 1 = -9. Calculate the smallest common multiple of 4 and p.
20
Let m = -14 + 7. Find the common denominator of -29/2 and -5*m/(525/6).
10
Suppose 5*u = 155 + 65. Let k be (106322/(-54))/((-3)/(-9)). Let x = -5913 - k. What is the common denominator of u and x?
9
Let l(o) = o**2 + 12*o + 9. What is the smallest common multiple of l(-13) and 16?
176
Let g(u) = u**2 + 3*u - 2. Suppose 0 = -5*d + 5*t + 10, 2*d - 3*t + 0 - 4 = 0. What is the smallest common multiple of d and g(-4)?
2
Let s = -7935 - -71342/9. Find the common denominator of 3/(4 - (-19)/(-2)) and s.
99
Suppose x + 3*o + 2*o = 301, 5*x - 1617 = 3*o. Calculate the common denominator of 4/(48/x) - 3 and -45/14.
28
Let b(f) = 2*f - 2. Suppose 5*o - o = -4*w - 8, -5*w + 5 = 2*o. What is the smallest common multiple of 1 and b(w)?
4
Suppose 2*t = 3*t. What is the common denominator of -27/20 and t + (-1)/14*101?
140
Let q(d) = -9*d + 3. Let c be q(-3). What is the smallest common multiple of 18 and ((-8)/6)/((-2)/c)?
180
Suppose 0 = 4*c - 2*c + h - 103, 0 = 3*c + 5*h - 165. What is the smallest common multiple of 18 and c?
450
Let a = 13 + -2. Let v(h) = 1 + 0*h + 3*h - 2*h. Calculate the smallest common multiple of a and v(0).
11
Let n = 95 - 55. Suppose -11*q + n = -7*q. What is the lowest common multiple of q and (-6)/(-27) + (-32)/(-18)?
10
Calculate the common denominator of (6/(-20))/(72/704) and -94/15.
15
Find the common denominator of -89/14 and (-3)/5 + (-231)/(-10).
14
Let i be (-5253)/(-14) + -2 - 2. Let x = i + -727/2. What is the common denominator of x and -25/9?
63
Let r = 215701/10968 - -1/3656. What is the common denominator of r and 121/12?
12
Let d = 8389/6 + -1386. Calculate the common denominator of d and -59/10.
30
Let l = -17849/1588 - 4/397. Calculate the common denominator of l and -95/14.
28
Let d(w) = -w**3 + 8*w**2 - 5*w + 6. What is the smallest common multiple of d(7) and 10?
20
Suppose -2*p + 5*f - 7 = p, -2*p - 4*f = -10. What is the smallest common multiple of p and 5?
5
Suppose -4*s + 3*j + 265 = 0, 85 = s - 0*j + 3*j. Find the common denominator of (-172)/s + (-6)/15 and -38/11.
77
Let z(f) = f**2 + 10*f + 1. Calculate the least common multiple of z(-11) and 22.
132
Let y be (-3)/(-4) + 70/(-8). Calculate the common denominator of y/44 + (-102)/(-44) and -39/16.
176
Let r(s) = 1 + s - 7 + 2 + 0. Calculate the lowest common multiple of r(7) and (-2)/3 - 5/(-3).
3
Let a be (-6 - 2/1) + -2. Let b be ((-4)/(-5))/(a/(-1175)). Suppose -5*s + b = -4*x, -2*x = 2*s - 0*x - 34. What is the lowest common multiple of 22 and s?
198
Let m(n) = n + 5. Let s be m(-11). Calculate the common denominator of (-51)/s + 1/(-1) and -65/18.
18
Find the common denominator of (-1830)/(-336) + -4 + (-2)/8 and -47/14.
56
Let j(s) = 6*s**2 + s - 1. Let g be j(1). Let k be g*(6/3 + -1). What is the smallest common multiple of ((-18)/15)/(k/(-100)) and 2?
20
Find the common denominator of 2/13 + (-298)/(-260) and -63/4.
20
Let c(w) = w**3 - 5*w**2 - 7*w + 9. Let v(t) = 4*t**2 - 6*t + 4. Calculate the lowest common multiple of v(2) and c(6).
24
Let m be (3/(-6))/((-6)/(-103)). Let n = 857/60 + m. Calculate the common denominator of n and -117/14.
70
Suppose 4*g = 5*u + 7, 3 = 4*g + u - 10. Suppose g = o - 1. What is the lowest common multiple of 11 and o?
44
Let y = 3295/4 - 818. What is the common denominator of 69/16 and y?
16
Let a(g) = -g**3 - 3*g**2 - g - 4. Let z be a(-3). Let t be z/(-2) + 14/4. What is the common denominator of 31/10 and 2/(-4) - 23/t?
20
Let r = -3/13763 - 1390015/220208. What is the common denominator of r and -61/28?
112
What is the common denominator of 39/10 and 66/(-60)*30/16 + -2?
80
Let r(v) = v - 2. Let l be r(-6). Let b = l + 5. Find the common denominator of b/6 + 60/14 and 45/2.
14
Let o(u) = u**3 - 6*u**2 + 7*u - 5. Let j be o(4). Suppose 2*t = -2*t - 20, -4*t = -y + 18. Calculate the common denominator of 53/6 and (-11)/j*5/y.
18
Suppose -5*h + 2*q = -4*h - 26, 118 = 3*h + 4*q. Calculate the smallest common multiple of 2 and h.
34
Let w = -14283/14 - -1028. What is the common denominator of w and ((-333)/105 - -3)*180/(-8)?
14
Let n(v) = -5*v. Suppose 12*k + 6 = 2*c + 10*k, c = -5*k + 33. Calculate the lowest common multiple of n(-2) and c.
40
Find the common denominator of 41/20 and ((-3)/(-9))/((-258)/(-117) + -2).
40
Let g = -15193/1928 - -5/964. What is the common denominator of 47/16 and g?
16
Suppose -8 = 4*u, -2*u + 0*u = -5*v + 15969. Let n be 15939/5 + 2/4. Let x = v - n. Find the common denominator of x and 109/22.
110
Let d = -2 + 4. Let p(w) = -w**2 - w. Let y be p(1). Calculate the common denominator of 1/9 and (-52)/(-22) + d/y.
99
Let s = 1317 + -14449/11. What is the common denominator of s and 17?
11
Let y = 244 - 421/2. Find the common denominator of (-1)/(-2) - 19/14 and y.
14
Let p be -3 + 2 + 1 + 38. Suppose 0 = 2*q + q - i + p, q = i - 14. Calculate the common denominator of 9/8 and (-135)/q - (-1)/3.
24
Find the common denominator of ((-44)/8 - -3)*(-132)/45 and -16/7.
21
What is the common denominator of 15/4 and (-139)/(-12) + (-5)/(-5)?
12
Let m(c) = c**2 - 2*c - 13. Let p = -2 - -24. What is the lowest common multiple of m(7) and p?
22
Let m be ((-45)/(-24))/((-2)/(-1368)). Let b = -1232 + m. Calculate the common denominator of b and 31/7.
14
Let a(b) = -4*b + 2. Let x be a(3). Let g be 1330/(-16)*26/x. Let t = 217 - g. What is the common denominator of t and 22/3?
24
What is the common denominator of -43/10 and 0/2 + ((-194)/12 - 0)?
30
What is the common denominator of -91/6 and 10/(-6)*357/(-374)?
66
Let y = -7 - -3. Let z = y - -7. Suppose 39 = z*n + 3. Calculate the lowest common multiple of n and 6.
12
Let p(b) = -1 + b**2 + 0 + 3*b - 7 - 12*b. Calculate the smallest common multiple of 22 and p(11).
154
Let k = 1 - 0. Let c(l) = -l + 3. Let q be c(3). Let h = q + k. Calculate the lowest common multiple of h and 4.
4
Suppose -k + j = 4 + 1, 5*j + 5 = 0. Let f = -224/15 + 4793/330. Find the common denominator of f and (k/(-16))/((-18)/124).
132
Suppose -c - 88 = -5*c. Suppose 3 = -3*u + 18. Suppose -c - 13 = -u*i. What is the smallest common multiple of 3 and i?
21
Let h(j) = -j + 8. What is the smallest common multiple of h(-10) and 8?
72
Suppose -w + 8 = w, 74974 = l - 4*w. Let x be 4 + -4 + l/13468. Let m = x - -36/481. Calculate the common denominator of m and -11/8.
56
Let w = -62058 - -2978657/48. What is the common denominator of 17/20 and w?
240
Let v(l) = 1 + 2*l**2 + 8*l**2 - 3*l**3 - 2*l**2 + 2*l**3. What is the smallest common multiple of v(8) and 5?
5
Let d = -7/1824 + 294293/5472. Let n = d + -4691/72. Find the common denominator of n and 97/20.
40
Calculate the common denominator of 133/12 and (-1)/(-2)*(125/(-10) - 3).
12
Suppose -495 = -6*u - 15. Find the common denominator of (-317)/u + 3/(-5) and 115/6.
48
Let d = 19/74 + -4637/15466. Let o = 8533/836 - d. What is the common denominator of 76/66 + 4/6 and o?
44
Suppose -4*x + 4 = 2*r, 5*x + 4 = 2*r - 0. Suppose f - 2 - 12 = x. What is the least common multip