
Let q(s) = s**3 - 9*s**2 + 8*s - 5. Let c be q(6). Calculate the smallest common multiple of 8/(-36) + c/(-9) and 8.
56
Let c be ((-44)/55)/(2/(-5)). Suppose -4 = -i + c. What is the least common multiple of i and (-20)/(-6) - (-2)/(-6)?
6
What is the common denominator of ((-14)/(-64))/(3/(-6) - -1) and (-1 - (-198)/(-20)) + 1?
80
Let i(d) = 9*d**2 + 3*d - 2. Let q be i(3). Suppose 5*y - 2*b = q, -4*y - y + 3*b = -87. Find the common denominator of 109/22 and (-2)/(-8) + (-6)/y.
132
Let t = -1 - 9. Calculate the common denominator of (-106)/t + (-2)/(-5) and ((-3)/(-4) + -2)/2.
8
Suppose -4*j - 5*z + 17 + 46 = 0, 2*z + 42 = 4*j. What is the lowest common multiple of 22 and j?
132
Let n be (-8)/2 + (-1 - -2). Find the common denominator of n/2*86/(-24) and 3 + -2 + 309/(-12).
8
What is the smallest common multiple of 11 and (5 - 2)/((-6)/(-16))?
88
Let a = -18 + 25. Let b(w) = 2*w - 2. Calculate the smallest common multiple of b(4) and a.
42
Let l = -9516 - -5599. Let t = -6671/2 - l. Let r = t - 552. Calculate the common denominator of 31/10 and r.
10
Let r(p) = 2*p**2 + 4*p**2 + 8 + 7*p - 5*p**2. What is the smallest common multiple of 9 and r(-6)?
18
Suppose 4*j = 5*z, 0 = -3*j - 0*j - 2*z. Suppose 2*k = -4, 2*i - 8 + j = -3*k. Calculate the smallest common multiple of 11 and i.
77
Let s(m) be the second derivative of -m**3/3 + 2*m**2 + 6*m. Calculate the least common multiple of 1 and s(-3).
10
Let q(l) = -l**3 + 3*l**2 + 4*l + 2. Calculate the least common multiple of 12 and q(-2).
84
Suppose -3*y - y - 36 = 0. Find the common denominator of (-17)/y + -1 - -1 and 141/2*(-1)/9.
18
Let o be (-1 + 66/64)*6274. Let d = o - 196. What is the common denominator of d and 59/18?
144
Let o be -3*5/(509445/12). Let a = 10788897/45284 - o. Let y = a + -1075/4. Find the common denominator of -89/8 and y.
8
Let l = -10 + 5. What is the common denominator of 11/8 and l*((-12)/(-70))/1?
56
Let m(u) = -5 - 9*u + u**2 - 3 + 0. Let t be m(10). What is the smallest common multiple of 4 and t/(-6)*(-2 + -16)?
12
Suppose 19 = 5*u - t, 2*u - 9 = -u + 3*t. Let o = 91 - 77. Calculate the least common multiple of o and u.
28
Let n = 2/317426716581 + -82422774340023801/7550100262784612. Let q = 2/17839 + n. What is the common denominator of 109/18 and q?
36
Suppose 3*s + 3 = 33. What is the smallest common multiple of (1/(-5)*-6)/((-6)/(-50)) and s?
10
Let g = 3257 - 39127/12. Calculate the common denominator of g and 65/2.
12
Suppose -j - 4*k + 24 = -6, -21 = -j - k. Let b(p) = -5 - 7*p - 2*p**2 + 3*p**2 + 1. What is the lowest common multiple of j and b(9)?
126
Let z = -39606294 - -80598791693/2035. Let p = 18/407 - z. Find the common denominator of -53/3 and p.
15
Let p(q) = q**2 + 12*q + 10. Let z be p(-12). Calculate the common denominator of (-2)/z + 316/(-40) and -77/4.
20
Let y = 2389/60 + -247/6. What is the common denominator of y and (-1)/(-4)*(-356)/(-22)?
220
Suppose 0 = 3*i + 2*i - 20. What is the common denominator of (14 - -1)*i/(-28) and -3/10?
70
Suppose -p - 143 = -155. What is the lowest common multiple of 6 and p?
12
Let z(g) = -g. Let f be z(3). Find the common denominator of -21/8 and f/(-6)*(-264)/(-15).
40
What is the smallest common multiple of 9 and (-4)/(-3)*45/30?
18
Let b(v) = v**2 - 25*v + 52. Calculate the lowest common multiple of b(23) and 172.
516
Let n = 583967/104 - 5615. What is the common denominator of 97/20 and n?
520
Suppose -114 + 4 = -11*g. Calculate the least common multiple of g and 26.
130
What is the common denominator of (-28)/(-4) - (4 + -1) and -83/10?
10
Suppose -3 = -3*f + 9. Suppose -5*j = -2*h - 0 + 4, 0 = -f*h - 3*j + 34. Let b = h + -2. What is the smallest common multiple of b and 9?
45
Let w(k) = 299*k - 2. Let x be w(3). Let f = x + -1843/2. Calculate the common denominator of f and -63/5.
10
Let g be (-2)/3 + (-16151)/(-12). Let a = g - 1363. Calculate the common denominator of -67/4 and a.
4
Calculate the lowest common multiple of 27 and ((-36)/(-3))/(3/(-1 + 7)).
216
Calculate the common denominator of (-135)/(-20) - -5 - (-2)/(-1) and 40/66*6/4.
44
Suppose 0 = -3*g - 29 + 89. Calculate the lowest common multiple of 40 and g.
40
Let j be -1 + 1 - 34/4. Let w = -57/7 - j. Let v = 7/8 - 63/40. What is the common denominator of w and v?
70
Let z(u) = -2*u**3 - 6*u**2 - u + 3*u**3 + 2*u + 2*u. Calculate the lowest common multiple of (2/(-3))/((-1)/3) and z(6).
18
Let z be 2/(-9) - (-3100)/(-2412). Let m = -18587/12730 - z. Let c = 3178/95 + m. Find the common denominator of -54/11 and c.
22
Suppose i - 9 = -2. Suppose -4*j + 0*x + 5*x - 7 = 0, -4*j - 5*x + 23 = 0. Calculate the lowest common multiple of 3 and (0 + (i - j))/1.
15
Let j = 977/342 + 84/19. Let s be (86*-2)/(-2) + 1. Calculate the common denominator of s/(-24) + 0 + -1 and j.
72
Calculate the common denominator of (136/(-24)*14)/(-1 + 21) and -77/15.
30
Let z = -875638/361119 - -6/10943. What is the common denominator of z and 91/15?
165
Let l = 11/23 + -446/115. Let y be 7/(-21)*(-6 + 0). Let j(p) = -11*p. Find the common denominator of j(y) and l.
5
Suppose -6*v = -2*v - 68. Suppose -2*t + 5 = 5*i + 59, -4*i + 3*t - 34 = 0. Let r = v + i. What is the least common multiple of r and 7?
7
Calculate the common denominator of (314/(-60))/(-1 - (-2)/(-2)) and -5/8.
120
Let p = -5559 - -66635/12. Find the common denominator of 68/3 and p.
12
Let h(i) = i**3 - 5*i**2 - 6*i + 2. What is the smallest common multiple of h(6) and (-10)/(-4)*(-80)/(-25)?
8
Suppose -2*o = 3*o + 5*n + 390, 3*n = -2*o - 153. Let j be (5064/o + 2)*-3. Let a = j + -182. Calculate the common denominator of a and 46/11.
99
Suppose -2*d = n - 14, 5*n - 4*d = n + 68. Suppose 0*s + 3*s - 22 = -4*w, w = -4*s + 12. What is the least common multiple of n and 3/(1/w*1)?
48
Suppose -4*z = -z. Suppose o - 6*o - 30 = z. What is the smallest common multiple of 7*4/o*-3 and 20?
140
Let f be ((-705)/(-33))/(9/24). Let q = -172/3 + f. Find the common denominator of q and -83/4.
44
Calculate the common denominator of -4 + -2 + (-38)/24 and -95/14.
84
Let n be (2/(-5))/(2/10). Calculate the common denominator of 77/8 and -1 - (n - 48*1).
8
Let p(k) be the second derivative of -k**3/6 + 8*k**2 + 9*k. What is the lowest common multiple of p(7) and 8?
72
Let p be ((-10)/4)/(1/202). What is the common denominator of ((103/(-2))/1)/3 and (4/10)/((-12)/p)?
6
Let g = -2153/90 + 217/10. Calculate the common denominator of g and -17/3.
9
Let s be (1 - (-4 + 4))*20. Suppose -v + s = 3*v. Calculate the lowest common multiple of 11 and v.
55
Calculate the smallest common multiple of (6/9 - 1) + 19/3 and 4.
12
Let f(a) = -a**2 + 16*a + 6. Let b be f(12). Let m = 76 - b. Calculate the least common multiple of m and 10.
110
Let p = 1/342 + -6329/684. Calculate the common denominator of -51/2 and p.
4
Suppose -5*m - f + 7 = -7, -5*m - 2*f + 18 = 0. Calculate the smallest common multiple of m and 18.
18
Find the common denominator of (-186)/(-4)*(-6)/(-12) - 0 and -107/18.
36
Suppose 4*n = 316 + 1204. Suppose 9*u - 5*u = -n. What is the common denominator of 93/2 and ((-18)/(-8) + -2)*u?
4
Calculate the lowest common multiple of 18 and 21 + (4/12)/(2/6).
198
Let p = -748099/78 - -9590. What is the common denominator of p and -41/20?
780
Suppose 5*j = 2*j - 54. Let k = 24 + j. What is the smallest common multiple of 32 and k?
96
Let j = -2 - -6. Suppose v = 3*k - j*k + 40, 3*v = 5*k + 152. Suppose 0 = -2*p - 2, -3*f = -p - v + 1. What is the smallest common multiple of 18 and f?
126
Let t = -589/20 - -29. Let q = 2 + -4. What is the common denominator of t and 141/33*(-1)/q?
220
Let r = 22256156419797063617/535625068198 + -2/24346594009. Let w = -41542276 + r. Let c = -9471 + w. Find the common denominator of -45/4 and c.
44
What is the common denominator of ((-8)/(-12))/(32/(-558)) and -71/6?
24
Let i(q) = 4*q + 4 - 4*q - 1 - q. Let g be i(3). Let o = g + 10. What is the least common multiple of 2 and o?
10
Let b be (1/(-4))/(3/(-60)). Suppose 4*y = 2*u - 2, 3*y = -3*u + b*y + 19. Suppose -6*s + 4*s = -32. Calculate the lowest common multiple of u and s.
144
Let x = 2333263/1468 + 306/367. Let h = 1577 - x. Find the common denominator of h and -89/2.
4
Let o = 9415/2486 + -18/1243. What is the common deno