4
Calculate the common denominator of (-136)/20*(-7)/(-8) and 63/40.
40
Suppose h = -5*l + 153, -4*h = -3*l - 39 + 140. Let n = l + -19. What is the lowest common multiple of 5 and n?
60
Let z = -3 - -11. What is the lowest common multiple of 40 and z?
40
Calculate the smallest common multiple of (54 + -6)*(-1)/(-2) and 21.
168
Suppose 33 = q + 17. Let l = -3 - -17. What is the lowest common multiple of q and l?
112
Suppose -5*w - 2*q = -22, -9 = w + 4*q + 1. Let p(u) = -u**2 - 3*u - 1. Let z be p(-2). What is the lowest common multiple of w and ((-2)/3)/(z/(-6))?
12
Let q = -1 + 7. Let m(w) = -w**2 - 7*w - 6. Calculate the least common multiple of q and m(-4).
6
Let j be 2/(-4)*1262/110. Let z be (-26)/(-11) + 0 + -2. Let m = z - j. What is the common denominator of -69/2 and m?
10
Suppose 20 = 5*u + 2*g, g + 15 = 5*u - 5. Let q be 2/u + 117/6. Find the common denominator of 12/q - (-59)/(-10) and 37/7.
70
Suppose -4*g + 2*g + 4 = 0. Let t = -2596 + 18205/7. Find the common denominator of t and (-35)/8 - g/(-4).
56
Calculate the common denominator of (-345)/(-40) - (-1)/4 and 43/18.
72
Let x(s) = 0*s - s - s**2 + 27*s**3 + 13*s**3. Calculate the common denominator of x(-1) and -76/9.
9
Let t = 4 - 3. Suppose v - 2 = 3*b, -2*v + 4*v = 2*b. Let h = 0 - v. What is the lowest common multiple of t and h?
1
Calculate the lowest common multiple of (40/3)/((-16)/(-24)) and 18.
180
Let v = 267/17 + -293/102. Calculate the common denominator of v and 117/10.
30
Let p(k) = -k**3 - 2*k**2 - k + 2. Let z be p(-2). Suppose 1 = t - z. Suppose 0 = t*f - 2*f - 33. Calculate the smallest common multiple of f and 3.
33
Let c = 5 + -2. What is the lowest common multiple of ((-2)/c)/(6/(-36)) and 6?
12
Let z be (4/3)/((-2)/12). Let v be 9/(-12) - (-2)/z. Let o = v - -21. What is the lowest common multiple of 8 and o?
40
Suppose 2*j - 3*i = 28, -53 = -5*j - 4*i - 6. What is the least common multiple of j and 16?
176
Let q = 34 + -995. Let x = -3783/4 - q. What is the common denominator of x and -19/4?
4
Let f(b) = b**2 - 4*b + 3. Let g be f(3). Let j be 0 + g - (1 - -7). What is the common denominator of -11/6 and ((-63)/5)/(j/5)?
24
What is the smallest common multiple of 2/(-18)*(-1 + -2)*54 and 182?
1638
Let s(u) = -2*u. Let b be s(-1). Suppose -4*y + 72 = 12. Suppose -7*x = -b*x - y. What is the smallest common multiple of 6 and x?
6
Find the common denominator of (-33)/(-4) + -4 - -2*2 and -119/12.
12
Let u(n) = -n**2 + 13*n + 8. What is the lowest common multiple of u(12) and 4?
20
Suppose -n + 11 = 4*m - m, 0 = -5*n + 2*m - 13. Calculate the common denominator of (-3 - n) + (-20)/3 and -51/7.
21
Suppose 35 = -5*s + 3*u, 2*u = -3*s - u + 3. Let c = 8 + s. What is the least common multiple of c and 9?
36
Let w be 3 + (-144376)/(-28) + 1. Let i = 5152 - w. What is the common denominator of i and -43/8?
56
Suppose 4 = z - 0*z. Let a = 7 - 2. What is the lowest common multiple of z and a?
20
Suppose -3*k - 8 - 3 = 2*c, 0 = -c - 4. What is the common denominator of 18/11 and 10/4 + (k - -2)?
22
Let a = -2301001/6 - -384696. Let n = -1215 + a. What is the common denominator of (1 + (-11)/8)/((-9)/(-54)) and n?
12
Let f = -12 + 20. Calculate the least common multiple of 2 and f.
8
Let u be -20*((-6)/(-4) + -2). Calculate the smallest common multiple of 1 + -4 + (1 - -14) and ((-12)/(-10))/(2/u).
12
Let r = -159/3344 + -34/209. What is the common denominator of 111/14 and r?
1232
Suppose -3*z = -2*z - 3780. Let y = 15193/4 - z. Calculate the common denominator of y and (14/3)/((-96)/(-27)).
16
Let q(y) = -y**2 - 5*y - 3. Let k be q(-3). Suppose -k*x - 2*h + 23 = 0, -h - 6 = -2*x - 0*x. Let i = x - -2. Calculate the lowest common multiple of i and 7.
7
What is the common denominator of 91/8 and (-6)/54*89/(-2)?
72
Let j = 899/7 + -130. Calculate the common denominator of -47/5 and j.
35
Let q(y) = -y**3 - 7*y**2 - 5*y - 4. Let j be q(-6). What is the common denominator of -1/4 and j/5*110/(-8)?
4
Suppose 3*u + 2*u - 45 = 0. Let h be 2*((-10)/(-4) - 3). What is the smallest common multiple of u and (-3)/(-3) - (h - 1)?
9
Let f = 1767 + -14183/8. Calculate the common denominator of -3 - (-3 - (-101)/6) and f.
24
Suppose 0*n - n + 822 = 3*y, 2*n + 267 = y. Suppose y = 2*b - 311. What is the common denominator of -2 + 3 - b/(-16) and -17/3?
12
Let b = 77/6 + -7/3. Let q be -1 - 55/2 - -2. Let m = -205/4 - q. What is the common denominator of b and m?
4
Let g = 26143/600 + -1207/25. Find the common denominator of -70/3 and g.
24
Let v = 32 - 15. Suppose -v = 5*n - 3*n - 5*l, 0 = -3*n - 2*l + 22. What is the lowest common multiple of 6 and n?
12
Let c = -209989623/20 + 10495067. Let q = 4412 + c. What is the common denominator of 1/12 and q?
60
Let y = 6 + -6. Calculate the smallest common multiple of 10 and y + 1 - (-4 + 2).
30
Suppose i + 118493 + 78 = 0. Let f be 5/15 + i/18192. Let g = f + -7/2274. What is the common denominator of g and 37/6?
48
Let l = -18 - -32. Calculate the lowest common multiple of l and 4.
28
Let a = -16411/22 + 1483/2. Let o be (-4)/(-12) - (-215)/3. Find the common denominator of (-364)/o*-3 - 1 and a.
66
Let a be (6/(-6))/(2/102). What is the lowest common multiple of a/(-12) + (-1)/4 and 12?
12
Suppose -w - 2*w = 5*j - 20, -2*j + 4*w = -8. Calculate the lowest common multiple of j and 6.
12
Let g(q) = 2*q - 2. Calculate the lowest common multiple of 13 and g(4).
78
Suppose -4*j + 30 = -3*m + 93, -m = 3*j - 21. Let y = -297 + m. Calculate the smallest common multiple of y/(-14) - 4/(-14) and 8.
40
Let a = -834 + 1761/2. Find the common denominator of a and 35/12.
12
Let z be ((-18)/10)/(6/(-20)). Let r = z - 3. Suppose -d + 5 + r = 0. What is the lowest common multiple of 10 and d?
40
Let r(c) = c + 4*c**2 - 4 - 5*c**2 + 5*c. Suppose -4*n + 2*j = -10, 5 = -0*n - n + 3*j. Calculate the smallest common multiple of r(5) and n.
4
Suppose 2*d - 3 = 3*d. What is the common denominator of -89/20 and ((-335)/(-30))/((-8)/d)?
80
Let g = -7 + 5. Let t(y) = -2*y**3 + y**2 + y. Let n = 0 - -8. Calculate the lowest common multiple of t(g) and n.
72
Suppose -3*d - 2*o + 6*o = -4, -5*d = -2*o - 16. Calculate the common denominator of 37/4 and 687/18 + d/(-6).
4
Let v = 40 - 34. Calculate the least common multiple of v and 20.
60
Suppose 0 = 5*k + w - 65, 5*w + 95 = 7*k - 2*k. Let i(v) = 20*v**3 + v**2 - 2*v + 1. Calculate the least common multiple of k and i(1).
140
Let r be (-28)/(2*2/(-6)). Let c = -28 + r. Find the common denominator of 1*(-2)/(c/(-37)) and 1/7.
7
Let i = -11636/585 - 36/65. Let o = 361/18 - i. What is the common denominator of 101/10 and o?
10
Let y = -14 + 23. What is the smallest common multiple of 5 and y?
45
Let q(m) = m**2 + 4*m - 1. Let i be q(3). Find the common denominator of 16/i*91/8 and -83/2.
10
Suppose -2*a = 6, 0 = -4*v - 3*a + 911 + 176. Let s be (v*(-2)/(-4))/3. Let c = -44 + s. Find the common denominator of -87/10 and c.
30
What is the least common multiple of 8 and (-28)/((14/(-4))/7)?
56
Let z = -671/12 + 111/2. Calculate the common denominator of -133/6 and z.
12
Let h(l) = 0 + l**3 - 7*l + 3 - 1 - 4*l**2 - 2*l**2. Calculate the lowest common multiple of 7 and h(7).
14
Let g be ((-6)/(-4))/((-3)/8). Calculate the common denominator of 3 + -1 + (-214)/40 and (2/g)/(8/152).
20
Let y = 136 + -128. Calculate the smallest common multiple of y and 1/((-3)/(-27)) + 0.
72
Let c = 151639/13284 - -5/3321. What is the common denominator of c and 83/78?
156
Let p = 911/14 + -3767/63. Find the common denominator of 1 - (-123)/(-20) - 0 and p.
180
Let q(d) = -17*d**3 + d**2. Let a be q(1). Let o = 1035/8 + -130. Find the common denominator of -1 - 6*9/a and o.
8
Suppose -4 = -2*l + 18. Calculate the common denominator of l*((-87)/(-42) + -2) and 83/8.
56
Let g = 1797 + -39463/22. Find the common denominator of -61/18 and g.
198
Let o = 1/216 - -827/216. What is the common denominator of o and 26/11?
66
Let r(c) = 4*c - 10. Let t be r(7). Let v(o) = 2*o**3 + o**2 - o + 2. Let b be v(-2). Find the common denominator of -45 and 85/t + 4/b.
9
Let g be 5/(1 + (-6)/9). Let u be (-6)/g*5*1. Let f = u + 12. Calculate the smallest common multiple of f and 8.
40
Suppose 3*k + f = 23, 2*k + 0*f - 11 = -5*f. Let v = k + -3. Calculate th