f) = f**3 - f. Let o be g(5). Let r = -557 + 5633/10. Calculate the common denominator of ((-16)/o)/(4/(-295)) and r.
30
Let p be (4 - 2) + (-2 - -2). Suppose -3*c = p - 11. Calculate the smallest common multiple of c and 8.
24
Let i be 1 - -1 - 3 - -2. Let r(o) = 22*o. Suppose 22 = 3*n - 2. What is the lowest common multiple of r(i) and n?
88
Calculate the common denominator of (33/(-6))/(15/(-12)) and ((-6)/(-60))/((-1)/(-106)).
5
Suppose 0*a + 68 = 3*a - f, 0 = f + 2. What is the least common multiple of 14 and a?
154
Suppose -923 - 122 = -19*t. What is the smallest common multiple of t and 55?
55
Let g be 0 + ((-1092159)/(-60) - 2). Let i = 18197 - g. Let s = 165847/14 + -11840. What is the common denominator of i and s?
140
Let q be (2*-1)/(4/10). Let j(a) = 10*a + 5. Find the common denominator of 10/20 - (-126)/16 and j(q).
8
Suppose c - 15 = -0*c - 2*o, 3*o = 4*c - 38. Suppose -3*f - 4*k = k + c, f + k + 1 = 0. Calculate the smallest common multiple of 11 and f.
33
Let i = -439/7 - -16799/273. Let h = i + 854/195. Find the common denominator of 32/5 and h.
5
Let p = 20 - 18. Suppose -10 = -p*h - 3*h, -3*o - 5*h = -82. What is the lowest common multiple of o and 8?
24
Suppose -3*w = -2*w - 166. Calculate the common denominator of -3 + 4/(-16)*w and 17/20.
20
Let y = -761817/10 + 76069. Let k = -113 - y. What is the common denominator of -91/12 and k?
60
Let n be 2/8 + (-125)/84. Let k = -298409 + 25066777/84. Let h = k - n. Calculate the common denominator of h and -48/11.
44
Find the common denominator of (737/(-110))/((-2)/5) and (175/18)/1 + -2.
36
Let d = 222 + -102. Calculate the least common multiple of d and 8.
120
Let m = 4 - 2. Suppose -20 = m*w + 4. Find the common denominator of w and 34/5.
5
Suppose 5*r = 4*c + 4, 1 = 2*r - 0*c - c. Calculate the common denominator of (136 - -3)/(6 - r) and (-3)/15 - 37/20.
60
Let i = -288 - -508. Let d = i - 423/2. Calculate the common denominator of d and (-1194)/112 + 138/42 + -3.
8
Let x be (-194)/(-1)*(-2)/(-64). Let l be (-6)/(-8)*(-2)/(-8). Let v = x + l. Find the common denominator of v and -113/14.
28
Let g(s) = -s**2 + 17*s + 10. Let y be g(-7). Suppose -5*t = 2*a - 2, -5*a + 5 = -4*t - t. Find the common denominator of -67/6 and (y/12)/a + 2.
6
Find the common denominator of (642/(-28))/(3 + 0) and -97/8.
56
Suppose 16*i - 15*i - 3*n = 37, -2*i + 77 = -3*n. What is the least common multiple of i and 14?
280
Find the common denominator of ((-785)/(-35) + -2)/6 and 23/22.
462
Let h(k) = k**2 + 2*k. Let n be h(-3). Let r(q) be the second derivative of q**3/6 + 3*q**2/2 - 21*q. What is the smallest common multiple of r(n) and 10?
30
Let y(a) = 2 + a**2 - 10*a + 4 + 5*a. Let s(j) = j**2 - 5*j - 4. What is the least common multiple of s(6) and y(5)?
6
Let u = 19037/8 - 2385. What is the common denominator of u and (-380)/(-16) + -17 + 9?
8
Suppose -q = 3*i - 4*i + 43, -4*i + q + 187 = 0. What is the lowest common multiple of i and 20?
240
Let a(u) = -u**2 + u + 22. Suppose 0*q = -2*q. Calculate the least common multiple of a(q) and 8.
88
Suppose 3*g + 2*p - 3*p = 11, 0 = 4*g - 2*p - 14. Suppose -m + g*f = -3, -4*f - 45 - 2 = -5*m. Calculate the least common multiple of m and 15.
165
Let l be (95508/(-32))/(-7) - 2. Let t = l - 425. Calculate the common denominator of t and 215/(-12) - 3/9.
8
Suppose u - 22 = -4. What is the lowest common multiple of u and (-108)/(-11) + 2/11?
90
Let u be (2 - 2 - 1)*3. Calculate the common denominator of ((-1)/u)/((-16)/(-426)) and 1 + 2/(36/(-23)).
72
Let y = 19 - 11. Calculate the lowest common multiple of y and 15.
120
Calculate the smallest common multiple of (5 - (-3 + 1)) + 1 and 6.
24
Suppose -2*t + 15 = -5*o - 21, 4*o = -4*t + 72. What is the smallest common multiple of 10 and t?
90
Let d(t) be the second derivative of t**4/12 + 7*t**3/6 + t**2 - 5*t. What is the least common multiple of d(-7) and 15?
30
Suppose -5*b - 37 = -f - 8, 3*b - 1 = -4*f. Suppose -5*z + 9 = -4*z. What is the smallest common multiple of f and z?
36
Let t(j) = 8*j + 2. Let y be t(2). Suppose -5*z - 4*f + 3 + y = 0, 4*f = -3*z + 19. Let b = z + 8. Calculate the lowest common multiple of b and 1.
9
Let r = -8 + 1. Let o(n) = n**3 + 5*n**2 - 8*n - 2. What is the smallest common multiple of o(-6) and 15*-1*r/21?
10
Suppose -2*s + s = 1. Calculate the common denominator of 190/288 + 4/(-18) and (s/(-11))/((-4)/74).
176
Let b = -6249/22 + 283. Calculate the common denominator of b and -145/12.
132
Let u = 923/14 + -467/7. Calculate the common denominator of 119/18 and u.
126
Suppose -2*y = -2*n - n + 52, -y + 2*n - 28 = 0. Let o be (-4)/(-10) + (-112)/y. Calculate the common denominator of 1/o*(125 + 2) and -57/16.
48
Calculate the lowest common multiple of 6 - 4 - (-37 - -3) and 32.
288
Let i = -15371 + 338231/22. Calculate the common denominator of -79/6 and i.
66
What is the smallest common multiple of 3 and (-20)/50 + (552/(-10))/(-3)?
18
What is the common denominator of -41/33 and 2 - 385/(-126) - 1/(-9)?
66
Let o(z) = -z**3 + 6*z**2 + 9*z - 2. Let i = -11 + 18. Calculate the smallest common multiple of (-24)/(-2 - 2/(-4)) and o(i).
48
Suppose 4*o - 17 - 3 = 0. Suppose -3*g + o*d = -41, 3*g + 4*d - 24 - 8 = 0. Calculate the smallest common multiple of 20 and g.
60
Let m = -330/889 - 12939853/3556. Let o = m + 3622. Let j = 72319/2994 - -6/499. What is the common denominator of j and o?
12
Let o(z) = 2*z**2 + 8*z - 5. Let j be o(-6). Suppose 2*p - j = 113. What is the lowest common multiple of 10 and 53/11 + 12/p?
10
Find the common denominator of -19/2 and (184/20 + 1)/((-2)/(-5)).
2
Let n = -55 + 77. What is the least common multiple of n and 18?
198
What is the smallest common multiple of ((-12 + 4)*2)/(-1) and 16?
16
Let z = 1 + 58. Suppose 0 = 2*c - z + 23. Suppose 4*d + 3 = 11. What is the lowest common multiple of c and d?
18
Suppose 4*k - 4 = 8*k. Let s be (-3 - (-1 + 24))/k. Suppose -4*f + q = -31, s - 6 = 2*f + 4*q. Calculate the smallest common multiple of 5 and f.
40
Let w(q) = q**2 + 6*q + 6. Let s be w(-6). Calculate the smallest common multiple of (-188)/(-36) - s/27 and 1.
5
Let d be (-6)/26*16/296. Let g = -19589/10582 + d. Find the common denominator of g and 13*(-2)/(42 + 2).
22
Suppose 3*n - 22 - 8 = 0. Suppose 10 = -4*s - n, -15 = 5*c + 4*s. What is the smallest common multiple of ((-1)/c)/((-1)/6) and 8?
24
Let i(h) = h**2 + 9*h + 22. What is the least common multiple of i(-7) and 7*((-18)/7)/(-3)?
24
Let z be -4*(-15)/24*-6. Let h be (5059/z)/(3/(-9)). Let s = h - 10217/10. What is the common denominator of s and -8/9?
90
Suppose -2*m + 7 = s, -2*m = -4*m. What is the lowest common multiple of 7 and s?
7
Let h = 9043/6 + -1518. Let d be 23/74 - 1/2. Let v = 2021/74 - d. Find the common denominator of h and v.
6
Let v = -1 - 43. What is the common denominator of v and -143/6?
6
Let w = -988 - -2073/2. Find the common denominator of 38/3 and w.
6
Suppose h = 3*d + 2*h - 1, 2*d + 4 = -3*h. Let q(k) = -19*k - 1. Let m be q(-1). Suppose 3*c = -0*c + m. What is the least common multiple of d and c?
6
Suppose 0 = q - 3*y - 14, 0 = 2*y - 0*y. What is the smallest common multiple of q and 18?
126
Suppose 3*s = 2*s + 5. Suppose 2*h + s*v - 34 = 0, v - 4*v - 23 = -5*h. What is the lowest common multiple of 3 and h?
21
Let b = -23 + 45. Suppose 0 = -2*s + 2*f + 10, -6*s - f = -s - 1. Calculate the common denominator of b/s*1/(-3) and -91/2.
6
Suppose 5*w - 4 = 11. Let i = w + -1. Calculate the least common multiple of i and 20.
20
Suppose a = -2*a + 4*y + 21, a + 4*y = 7. Let l = 3 - 0. What is the lowest common multiple of a and l?
21
Let y(i) = i**2 - 6 + i - i + 5*i. Let x be (-4)/(-6) + (-46)/6. Calculate the least common multiple of y(x) and 9.
72
Let m(r) = -r - 6. Let i be m(-6). Let l = 2 - i. Let d(z) = z**2 + 4*z + 6. Calculate the smallest common multiple of l and d(-5).
22
Let h(o) = o**2 + 4*o. Let p be h(-4). Suppose 2*a + 2*d + 32 = p, -2*d + 3*d = -2*a - 37. Let g = 35 + a. Calculate the lowest common multiple of 2 and g.
14
Suppose 6*h - 30 = 3*h. Calculate the least common multiple of 20 and h.
20
Suppose 5*d + 4 - 29 = 0. Suppose -d*p = -2*p - 18. Let x = p - 5. What is the lowest common multiple of x and 6?
6
Let h be (-8)/(-42)*104/16. 