. Let a(t) = -2*t**3 + 10*t**2 + 4*t - 8. Calculate the lowest common multiple of a(5) and (3 - 1)*l*2.
12
Calculate the common denominator of (1212/576)/(25/20) and 5/63.
1260
Suppose 0 = 3*d + 3*t - 381, -12*d - 4*t = -10*d - 264. Calculate the least common multiple of 7 and d.
854
Let f(m) = 4*m**3. Let s be f(1). Suppose 0 = 2*t + 10, -3*v + 1 = -s*v - 2*t. What is the smallest common multiple of v and 9?
9
Suppose 41*u - 90 = 35*u. Suppose f + 5*j + 14 = 0, 0 = -0*j + 3*j + u. What is the least common multiple of 4 - -2 - (1 + -1) and f?
66
Let t = -24 - -39. What is the lowest common multiple of 110/25 - (0 - (-8)/20) and t?
60
Let y = 3353/330 + -436/55. What is the common denominator of 83/180 and y?
180
Let x(r) = r - 2. Calculate the lowest common multiple of -12*1*-2 + (1 - -1) and x(10).
104
Suppose -492 = 5*l - 1322. Calculate the least common multiple of l and 10.
830
Let f = 8 - -58. Calculate the smallest common multiple of f and 55.
330
Let u = -1458 - -5785/4. Find the common denominator of u and -1/20.
20
Suppose -4*c + 78 = -2*i, c + 0*i + i - 21 = 0. Let t = 111 + -103. What is the smallest common multiple of c and t?
40
Calculate the common denominator of 19/6 and (-34)/(-6)*234/1833.
282
Suppose 807*v - 803*v = 44. Calculate the smallest common multiple of 11 and v.
11
Let m(z) = z**3 + 5*z + 10*z**2 - 11*z**2 - 7 - 2*z. What is the smallest common multiple of m(3) and 9?
180
Let u = 1523/99 - 201/11. Let r = 13517/8 - 1693. What is the common denominator of u and r?
72
Calculate the common denominator of (534/105 - 4) + -1 + 0 and 54/77.
385
Let a(w) = -14*w - 104. Calculate the lowest common multiple of a(-11) and 15.
150
Let m = -532 - -2662/5. What is the common denominator of m and 76/3?
15
Let k = -5849/9 + 643. Let o = -645757/40 + 16145. Find the common denominator of k and o.
360
Suppose -2*q + 2*b = -b - 18, 5*q = -2*b + 64. What is the least common multiple of 2 and (-1 - q)*-1 - (59 + -56)?
10
Suppose 0 = -4*b - d - 17, 0*b + 5*d + 1 = b. Find the common denominator of -4 + (205/b)/(-5) and 1/3.
12
Let p = 269 - 254. What is the lowest common multiple of 27 and p?
135
Suppose a + 2*a - 5*k - 34 = 0, -a + 16 = -4*k. Let i = -153 + 157. What is the smallest common multiple of i and a?
8
Let o = 2379/7 - 271129/798. Let i = 680/57 - o. Let u = 509/2 - 264. Calculate the common denominator of u and i.
6
Suppose 4*f - f - 55 = p, 4*f - 3*p = 65. Suppose -2*y + 7*y - f = 0. Suppose 0*a + 32 = y*a. Calculate the least common multiple of a and 4.
8
Let a = 1242523/935826 - 26/8209. Calculate the common denominator of 49/18 and a.
342
Suppose -3*t + 4*i = 14, -4*t + 0*i - 26 = 2*i. What is the least common multiple of (-2)/(t/99*3) and 3 + (2 + -2 - -5)?
88
Let g be -15 + 4 + -1 + 0. Let v be (4/g)/(1/(-12)). Suppose -p = -5*z + 21 - 6, 5*p = v*z - 12. What is the lowest common multiple of 7 and z?
21
Let w = 36295577545987/16367 - 2217607232. Let r = -6/2887 + 10441/3634733. Let b = r + w. What is the common denominator of 81/4 and b?
52
Let f = 35609/18 + -5954/3. Let l = -741477 - -7404443/10. Let v = l - -1037. What is the common denominator of f and v?
90
Let a = -42 + 124/3. Let u = 51211/59 - 868. Find the common denominator of a and u.
177
Find the common denominator of -46/7 and (15/25)/(349*(-6)/30).
2443
Suppose -j - 4*j - 30 = 0. What is the lowest common multiple of (-2 - 621/j)*(-12)/(-21) and 3?
174
Let r = 340 + -260. What is the lowest common multiple of r and 24?
240
Let f = 60117/79 + -761. Let l = -473/3160 + f. Let t = -11/20 - l. Calculate the common denominator of -87/2 and t.
8
Suppose -16 + 28 = -6*g. Let b = -2/27975 - -386063/111900. Find the common denominator of 2 + (g - (-83)/18) and b.
180
Let c = 71/140 - 3/20. Let v = -136957/37010 - -2/3701. What is the common denominator of c and v?
70
What is the lowest common multiple of 1 and (-46)/(-5) - 1/(5/(-4))?
10
Let y = 597/161 + 102/23. Find the common denominator of y and ((-81)/33)/((-48)/64) - -1.
77
Let h = -4/3015 + -71327/21105. What is the common denominator of h and -23/33?
231
Let w be ((-5698)/(-4) + 1)*-2. Let b = 85511/30 + w. Find the common denominator of -74/15 and b.
30
Suppose 2*k - 54 = -2*s, -3*s + 78 = 3*k - s. What is the smallest common multiple of (-7*(-1 + 4))/((-36)/k) and 12?
84
Let n = 33 + -50. Let j = 27 + n. Suppose 0 = -2*m - 4*a + 36, -5*a = -7 - 8. Calculate the smallest common multiple of j and m.
60
Suppose -16 = -2*c - 0*c. Let y = -6 + c. Let u = 4053 - 4037. Calculate the lowest common multiple of u and y.
16
Let w = -72 - -212. Calculate the smallest common multiple of 126 and w.
1260
Let w(j) = -335*j - 178. What is the lowest common multiple of 8 and w(-2)?
984
Calculate the least common multiple of 8 and 2 - (-2)/(-2)*(-604 - 13).
4952
Let k be 1/((-3)/(-12)) + -12. Let v be (-1)/((0 - 2)/k). Calculate the common denominator of 7*4*v/(-88) and 81/10.
110
Let d be 4/(-22) - 828/(-198). Calculate the common denominator of -3 - (120/d + 4) and -23/2.
2
Let j = 18 + 6. Suppose -4786*q = -4791*q + 75. Calculate the least common multiple of q and j.
120
Let u be 119/5 + 2/10. Suppose -3*j - u = -6. What is the smallest common multiple of 20 and (-2)/j + 99/27?
20
Let t(z) = 7*z - z**2 + 7 - 10*z - 2. Calculate the smallest common multiple of 11 and t(-4).
11
Let q be (182/(-2044))/((-2)/12). Let z = -5203/584 + q. What is the common denominator of (-8)/14 + 774/(-140) and z?
40
Let z = 164207/16 + -10257. Find the common denominator of (53/(-10))/(8/(-10)) and z.
16
Find the common denominator of 4/20 - 17/(-15) and (-2831)/(-114) + 3 + -14.
6
Let o be (-218)/(-4) + (-1)/2. Suppose -3*v + 0*v = -o. Calculate the least common multiple of (-3)/12 - (267/(-12) + 2) and v.
180
Let v = 250481/18 + -13912. What is the common denominator of v and 59/42?
126
Let x = 2158 - 8655/4. Calculate the common denominator of 65/3454 and x.
6908
Let m = 816167/30 + -27208. Let g be -2 - (-2 + 8666/(-8)). Let k = g - 1076. What is the common denominator of m and k?
60
What is the common denominator of (145/174)/((-10)/8) and ((-234)/(-25))/(4/(-5))?
30
Suppose 3*r - 4*m + 8 = -7, -15 = 3*r - 3*m. Calculate the least common multiple of 9 and (-45*1)/((-28)/(-8) + r).
90
Let h(t) = -t**2 + 12*t - 24. Let z be h(8). Suppose -f = r - 2, 4*f + 2 = -r - z. What is the smallest common multiple of 13 and 6 - (r/2 - 4)?
91
Let r = -280 - -286. Calculate the smallest common multiple of r and 6.
6
Suppose 5*b - 11 = 9. Suppose 4*x = z - 14, 4*z - b*x + 9*x = 77. Let m = z - 14. Calculate the smallest common multiple of m and 5.
20
Let v = 2130/17 - 466810/3723. What is the common denominator of -17/10 and v?
2190
Let m = 2331327959 + -153874213459/66. Let o = m + 99520. What is the common denominator of o and 1/2?
66
Suppose 0 = -r - 4 - 5. Let d be (-1 + 61)/(10/5). What is the common denominator of -35/4 and (-41)/(-6)*r/d?
20
Let s = 12 + 18. Calculate the least common multiple of s and 75.
150
Let c = 0 + 3. Let v be 1 + 49 - 0/c. Suppose 0*p = 5*p - v. What is the smallest common multiple of p and 6?
30
Let s = -9 + 21. Suppose -21 = -4*a - p, 3*a + 5*p = -0*p + 37. Calculate the lowest common multiple of a and s.
12
Suppose -2*p + 31 = 5*t - 6*p, -2*t - 4*p = 10. Let n be (-5577)/(-18) + (-1)/t. Let z = n + -299. Find the common denominator of z and 89/18.
18
Suppose 0 = 10*w - 26 + 6. Suppose -49 = -q - 2*q - d, 0 = -3*q - 3*d + 39. What is the lowest common multiple of (q/(-4))/(2/(-4)) and w?
18
Let p = -16385/3 + 5732. Let z = p + -4931/18. What is the common denominator of 35/8 and z?
72
Suppose 0 = -2*k - 8 + 24. Suppose -b + 654 = -4*b. Calculate the common denominator of b/k - (-8 + 5) and -13/8.
8
Let i be (-3729 + -5)*(-1 + 2). Let z = -29955/8 - i. What is the common denominator of 70/(-32) + 3/3 and z?
16
Calculate the smallest common multiple of 9 and ((-5)/10)/((-4)/720).
90
Let d = 4673/4368 - 2/273. What is the common denominator of d and 27/82?
656
Let b = -34 + 68. Let w = 24 - b. Let k = -7 - w. Calculate the least common multiple of 6 and k.
6
Let n = -11 - -11. Suppose n = -2*i + 2 + 10. What is the least common multiple of i and 8?
24
What is the common denominator of 3/(-27)*(-291)/(-50) and -44/21?