- 5. Suppose -3*q + 7 = -2*q. Let g be y(q). What is the least common multiple of 22 and ((-12)/g)/(4/(-54))?
198
Suppose 2*n = -2*n + y - 83, -5 = n + 5*y. What is the common denominator of 347/n - (-10)/(-25) and 148/(-10)*3/(-4)?
20
Let n = -30183/16 + 1882. Find the common denominator of 49/18 and n.
144
Let n(q) = -q**2 + 9*q - 7. Suppose -4*v + 3*t + t = -20, -5*v + t + 37 = 0. What is the smallest common multiple of n(v) and 8?
8
Let x = -8 - -17. Suppose -25 = -2*o - 0*o - u, -2*u = -6. What is the smallest common multiple of x and o?
99
Let a(j) = -j**3 - 3*j**2 + 8*j - 7. Let b = 6 + -9. What is the least common multiple of 11/b*(-9)/3 and a(-5)?
33
Let w(o) = 2*o - 4. Let j = -8 + 4. Let y be w(j). What is the common denominator of 22/9 and (y/10)/((-35)/150)?
63
Let w = 7985/166 + 33/83. Let l be 4143/(-30) - (-5 - -3). Let t = 144 + l. Calculate the common denominator of t and w.
10
Let o = 7252/3 + -2441. What is the common denominator of 23/12 and o?
12
Suppose -4*k = 2*j + j + 7, 2*j + k + 3 = 0. Suppose -d - 32 = -4*l, 5*l + 3*d = 3*l + 30. What is the smallest common multiple of l and ((-2)/(-4))/(j/(-12))?
18
Let i be (-10393)/(-260) + -3 + 1. Let r = -506/13 + i. Let v = -53473/16 - -3337. What is the common denominator of v and r?
80
Let f = 1/861 + -13163/1722. Let p = -57092/25 + 2284. Let v = p - 21/50. What is the common denominator of f and v?
70
Suppose -45 = x + 2*x. Let h(z) = z**2 + 15*z + 11. Let k be h(-14). Let f = k - x. Calculate the least common multiple of f and 20.
60
Let u(r) = -3*r**3 + r**2 - r - 1. Let p be u(-1). Suppose z - p*z = -3. Calculate the lowest common multiple of z and 10.
10
Let d be (-1)/(-1) + 1 + 3. Let j(m) be the first derivative of m**2/2 + 5*m - 1. What is the smallest common multiple of 4 and j(d)?
20
Let q = -13 - -6. Let h(r) = r**3 - 6*r**2 - 10*r + 8. Let y be h(7). Let t = q - y. Calculate the smallest common multiple of 18 and t.
18
Let x = 8 - 7. Let p(y) = y**2 - 4*y - 4. Calculate the lowest common multiple of x and p(5).
1
Let h = 143/7911 - 209413511/79110. Let a be 2655 + -1 + 0/8. Let v = a + h. Calculate the common denominator of v and -5/22.
110
Suppose 40 = -0*d + 3*d + c, 5*c = 20. Calculate the common denominator of -99/10 and (d/15)/((-1)/5).
10
Let o be (-10410)/6391 - (-2)/(-7). Let b = o + -75/83. Find the common denominator of b and (-2)/(-8) + 114/88.
11
Suppose 0*m + 4*z - 38 = -2*m, -3 = -2*m + 3*z. What is the least common multiple of 6 and m?
18
Suppose 0 = 4*o - 3*o - 7. Suppose -3*m + o + 35 = 0. What is the smallest common multiple of 16 and m?
112
Let d(u) be the third derivative of -u**4/24 + u**3/3 - 2*u**2. Calculate the least common multiple of d(1) and (-12)/(-7)*42/12.
6
Suppose -o - 16 = -36. Suppose 19 = -5*i + 2*x + 81, -i + 4*x + 16 = 0. What is the least common multiple of o and i?
60
Let h be 20/3 + (-12)/18. What is the common denominator of (20/(-14))/(h/28) and 31/8?
24
Let d = 22 + -14. Let t(j) = -22*j**3 - j**2 - 2*j - 1. What is the least common multiple of t(-1) and d?
88
Let b be ((-48)/(-14))/(1/(-21)). Let f = 18555/11 + -1688. Calculate the common denominator of 1478/b + (-8)/36 and f.
44
Let u(v) = 3331*v**2 - 2. Let r be u(-2). Let q = r - 239861/18. Let g = 236/133 + 147/38. What is the common denominator of q and g?
126
Let i = -3914 - -97811/25. What is the common denominator of 39/20 and i?
100
Suppose z = -2*k - 13, -k + 3*z = -0*z - 11. What is the common denominator of (-103)/4 + (-1)/k and -41/8?
8
Let o be (-3 - 1) + -13 + 1. Let h = o + 30. Calculate the smallest common multiple of 4 and h.
28
Suppose 0 = -5*d + 10. Find the common denominator of ((-134)/10)/((-44)/(-10)) and ((-13)/(-13))/(d/23).
22
Suppose 31 = 2*m - 5*v, 3*v = 2*m - 13 - 20. Calculate the lowest common multiple of m and 69.
414
Suppose 5*u - 2*x + 2 - 11 = 0, -2*x - 6 = -4*u. Suppose -b - k + 5 = -u, -8 = -4*k. Calculate the least common multiple of b and 1.
6
Suppose -60 = -4*r + 44. What is the least common multiple of r and 7?
182
Let b(l) = -5*l - 6. Calculate the smallest common multiple of b(-5) and 5.
95
Let k(j) = 17*j + 2*j**2 - 11 - 3*j**2 - 5*j. Let l = -1 - -4. What is the lowest common multiple of k(10) and l?
9
Suppose -4*y + 1036 = -8*y. Calculate the smallest common multiple of 1/(-3) + y/(-21) and 4.
12
Let b = 14 + -70. Calculate the common denominator of -101/10 and 2/b*-2*-19.
70
Let j = 61 + -54. Calculate the smallest common multiple of 11 and j.
77
Let j be 158/4*(2 + 4). Suppose 0 = 4*p - j + 5. What is the common denominator of 34/5 and (4/28)/(2/p)?
35
Let u be (-2)/2*(-2 - -2). Suppose -s = h - u*h - 4, 4*h - 12 = -3*s. Calculate the least common multiple of 20 and s.
20
Let f be 7*-13 + (-2)/(-2). Calculate the common denominator of 21/2 and 6/27 + 857/f.
10
Let n = -710 + 2078/3. What is the common denominator of n and 48/13?
39
Suppose -x - 76 = 5*d - 0*x, -d + 4*x = 32. Calculate the common denominator of 21/10 and d/8 + 214/32.
80
Let y(q) = -q**3 + 4*q**2 - 3*q + 3. Let p be y(3). Let i(b) = 4*b**2 - b**p + 2*b**2 + 0*b**2 - 2*b + 3. What is the least common multiple of i(5) and 10?
90
Let l(m) = 6*m**2 + m + 5. Let r be l(-5). Calculate the common denominator of ((-5)/r)/((-2)/(-27)) and 37/6.
60
Calculate the smallest common multiple of 7 and -1*2/4 + (-11)/(-2).
35
Suppose -4*k - 3*v = -267, -k - v + 0*v + 68 = 0. Find the common denominator of 40/7 and 19/((-7)/(k/(-30))).
70
Let i = -7541/3 - -2489. Let x = -2681/4 - -676. Calculate the common denominator of x and i.
12
Let h = 253 - 247. Calculate the lowest common multiple of h and -2*1 - (2 + -15).
66
Let u = 2/45389 - 454516/14206757. Let d = 19053/1252 - u. Find the common denominator of -13/5 and d.
20
Let p = 1336/13 - 1096843/10673. Let d = 15603/3284 - p. Calculate the common denominator of 35/8 and d.
8
What is the common denominator of -125/36 and (102/(-16))/3*(-36)/(-42)?
252
Let x = -37863/32 - 167917/32. Let i = -6419 - x. Calculate the common denominator of i and -5/9.
72
Let a be 2/4*(20 + -2). Suppose 0 = 4*r + a + 7, 186 = 5*g + r. Calculate the common denominator of g and -103/6.
6
Let d(t) = t + 3. Let v be d(-5). Let z = 7 + v. Suppose -i + c + 4 = 0, z*c = -3*i + 6*i - 8. Calculate the least common multiple of 22 and i.
66
Suppose 0 = -4*w - 9 + 41. Suppose 3*h - w*h = -70. What is the least common multiple of h and 4?
28
Suppose 8 = t - 6. Let a = -72 + 84. What is the least common multiple of a and t?
84
Calculate the common denominator of 111/20 and 467/160 + 28/(-140).
160
Let c be (-1 + 3/6)*-12. Let f = c + -11. What is the smallest common multiple of (1 + 0)/(f/(-110)) and 6?
66
Let v = 45 - 27. Suppose 2*n - 22 = -2*f, f - 5*f + 2*n + 14 = 0. Calculate the smallest common multiple of f and v.
18
Let i be 21 + (-1 - 0) + 3. Suppose -13 = 4*z + i. Let x = 1 - z. Calculate the least common multiple of 2 and x.
10
Suppose -4*y = -5*i + 24, -2*i + 0*i + 28 = 3*y. What is the least common multiple of 4/(-26) - (1980/39)/(-5) and i?
40
Suppose -2795 = -5*z - x, z + 2*x - 3*x = 553. Let k = -9/1358 - -90361/8148. Find the common denominator of k and z/60 - (-3 + 0).
60
Let f(v) be the third derivative of v**4/24 - v**3/2 - 3*v**2. Let i be f(3). Let q = 4 + i. Calculate the lowest common multiple of 9 and q.
36
Let d be 3/((-135)/69 - -2). Let f = d + -43. Suppose -2*m + l = -31, 3*m - l + f - 73 = 0. Calculate the least common multiple of m and 4.
16
Suppose 4*y + 45 - 13 = 0. Calculate the lowest common multiple of 12 and ((-4)/y)/(2/88).
132
Let b = -7 - -16. Let o(y) = y - 3. Calculate the lowest common multiple of o(b) and 8.
24
Let v = -13631/6 + 2280. Let o = -40243/3 + 13148. Let l = 7861/30 + o. Find the common denominator of v and l.
30
Suppose -4*z - z + 20 = 0. Calculate the least common multiple of (-3 - z/(-2)) + 8 and 10.
70
Suppose 2*m + 12 = 94. Suppose 2 = d + m. Find the common denominator of -29/8 and 2 - (2 - d/9).
24
Let w = 1485 - 8941/6. Calculate the common denominator of w and 139/12.
12
Let a be -1 + (1 - (-1 + 1)). Calculate the common denominator of 1*(3 + a)/24 and 24/14 - (3 - 1).
56
Calculate the lowest common multiple of (-170)/(-7) + (-18)/63 and 8.
24
Suppose 0 = -11*g + 12*g - 11. Calculate the 