 ((-18)/(-28))/((-126)/(-4851)) and (-1)/2 + (-146)/40.
20
Let j = -10 - -9. Let b be 589/(-52) - (2 + j). Let n = -9/52 + b. Calculate the common denominator of n and 127/12.
12
Suppose 20*z = 15*z - 5*a + 65, -2*z - a + 25 = 0. Let c(x) = -x - 3. Calculate the least common multiple of z and c(-5).
12
Suppose 3 = -2*m + m. Suppose 9*i - 552 = 6*i. Find the common denominator of (m + i/(-14))/(-2) and -1/8.
56
Let a = 1/267 + 2399/1068. Let s = 5523/472 - 93/59. What is the common denominator of s and a?
8
Let l = -3031 + 21137/7. Let q = l + 1312/105. What is the common denominator of 17/8 and q?
120
Let h = 104 - 104. Suppose -3*o - a + 5 = 0, h = 4*o - 2*a - 2*a + 4. Calculate the least common multiple of o and 17.
17
Let u = 29921/22 - 1355. What is the common denominator of 83/42 and u?
462
Let f = -457 + 468. Let b(z) be the second derivative of -z**4/12 + 5*z**3/6 + z**2 + 2*z. What is the least common multiple of f and b(4)?
66
What is the common denominator of 35/158 and 1 + (-29)/(-2) + (4 - 7)?
158
Let v = -1 + 4. Calculate the smallest common multiple of (17/(-5) - (-2)/5)*-3 and v.
9
Let u = 3/10390 + -285809/290920. Calculate the common denominator of u and -27/70.
280
Suppose 2 = 5*v - 8. Let g = v - -8. Suppose -3*t = 2*h - 32 - 54, 0 = -3*t + h + 92. What is the smallest common multiple of g and t?
30
Let r = 0 + 0. Suppose 3*l - 4*s - 633 = 0, r*l + l - 201 = -2*s. Calculate the common denominator of -7/2 and l/(-18) - (-1 - 0).
2
Let p(z) = -z**2 + 5*z - 3. Let o be p(2). Suppose 0 = -v + o*v - 14. Find the common denominator of (-2)/v - 282/924 and -3/16.
176
Suppose 2*p + 240 = 2*i - 4*i, 4*p = 4*i - 480. Calculate the common denominator of (-36)/p*2/(-6) and 107/6.
30
Let q be (3/4)/(2370/(-4660)). Let c = q - 2/79. Find the common denominator of -57/8 and c.
8
Let s be (2/(-6)*1)/((-8)/72). Suppose -2*g - s*g = -165. Calculate the least common multiple of g and 27.
297
Let w = -4401/70 - -459/7. Calculate the common denominator of w and (-2)/9 - 4921/252.
20
Let o = -2/13209 - 95397/8806. Let d(z) = -4*z**2 - 2*z - 1. Let a be d(-1). Find the common denominator of a/6 + 48/33 and o.
66
Let j = -67745/14 - -4842. Suppose 3*q - 4*q = -27. Find the common denominator of -3 + (q/(-48))/(-9) and j.
112
Let b = -51 - -25. Let r = -15 - b. What is the smallest common multiple of r and 20?
220
Let s(p) = p - 5. Let i be s(5). Suppose i = -2*y + 33 + 27. Calculate the smallest common multiple of (-40)/y*(-6)/4 and 11.
22
Let h(n) = 1079*n + 1. Let g be h(-1). Let s = g - -6619/6. Calculate the common denominator of s and (-13)/60 + (-6)/(-9).
60
Suppose 5*z - 3*n - 48 = -2, 0 = z + n - 14. Calculate the smallest common multiple of 240 and z.
2640
Calculate the common denominator of (-4)/((-352)/344) + 1 and -111/230.
2530
Let k be (124846/3)/(72080/28). Let j = k + 4/4505. What is the common denominator of (85 + 2)*(-1)/2 and j?
6
Calculate the smallest common multiple of 105 and (-2)/3*(-270)/12.
105
Let v = -4991 - 109. Let o = 40881/8 + v. What is the common denominator of o and -20/11?
88
Let d be 9/((-45)/(-10))*1. Suppose 0 = a + a + 5*z + 1293, 1320 = -d*a + 4*z. Let n = a - -1221/2. Find the common denominator of 29/6 and n.
6
Let j be (-10783074)/(-68) - (-3)/(-6). Let r = j - 2439559338/15385. Let q = r - 9/362. What is the common denominator of -35/22 and q?
110
Calculate the smallest common multiple of 12 and 366 - 2 - 10*(-15)/75.
732
Let j = -17 - -18. Let q be (j - 5)*2/(-4). What is the common denominator of (-87)/(-24)*(q - -4) and -28/3?
12
Calculate the common denominator of ((-4)/120)/(492/(-100) + 5) and 85/312.
312
Let t be -14 - -9 - 32612/9. Suppose 7*b - 7268 = 5*b + 2*n, -2*n = 2*b - 7280. Let g = t + b. Find the common denominator of 79/2 and g.
18
Let b = 15516 + -47244. Let y = b - -94336/3. Let z = y - -272. Find the common denominator of z and 46/5.
15
Suppose -16 - 60 = 4*z + 4*f, 3*z + f = -61. Let x = z - -23. What is the lowest common multiple of x and 10?
10
Suppose -31 = 7*f - 80. What is the lowest common multiple of ((-3)/(-6))/(3/6) and f?
7
Suppose -5*j + 3*l = 27, -6*l = -4*l + 2. Calculate the least common multiple of (-1)/(j/(-3))*-8 and (-84)/(-10) - 4/10.
8
Let r(f) = 3*f + 1. Let d be r(7). Suppose 2*o + d = -14. Calculate the least common multiple of 22 and (4/(-3))/(o/54).
44
Let c = 2999/5 + -602. What is the common denominator of c and -41/145?
145
Suppose z - 1890 = 4*z. Let g be ((-2)/(-3))/((-20)/z). What is the common denominator of 15/g*88/(-20) and -3/7?
7
Let y = 47 + -157/3. Calculate the common denominator of y and 45/7.
21
Let n = 649 + -642. Calculate the lowest common multiple of n and 25.
175
Suppose 2*q - 6*c + c = 51, q - 2*c - 26 = 0. Let o(s) = s**2 - 4*s - 56. Calculate the lowest common multiple of o(-6) and q.
28
What is the smallest common multiple of 2/8 + (-3075)/(-20) and ((-6)/4 + 0)*304/57*-1?
616
Suppose 3*w + 18*w - 63 = 0. Suppose 5*q - 2*q = -5*x + 4, -5*x = 5. What is the lowest common multiple of w and q?
3
Let g be (-167158)/90 - 4/(-36). Let j = g + 1851. Calculate the common denominator of 27/10 and j.
10
Let z(h) = h**3 - 2*h**3 - 18 + 41*h**2 - 62*h**2 - 22*h. What is the lowest common multiple of 10 and z(-20)?
110
Suppose f + 4*q + 11 = -23, 4*f + 100 = -4*q. Find the common denominator of -80/21 and (1608/(-297))/2 - (-4)/f.
63
Let w = 20 - 10. Let r(y) = -y**3 - 8*y**2 - 10*y + 15. What is the least common multiple of r(-6) and w?
30
Suppose 3*x + 3*w = 3, x + w - 7 = -3*w. Let m(v) = 11*v. What is the common denominator of m(x) and 3/10?
10
Let a = 9767 - 2500397/256. What is the common denominator of a and 27/16?
256
Suppose 5*g - 1245 = -5*o, 2*o + 671 = 5*g - 581. Calculate the least common multiple of 80 and g.
2000
Let d(c) be the second derivative of c**4/12 - 5*c**3/6 + 3*c**2/2 + 8*c. Let h be d(6). Suppose -2*n = n - h. Calculate the least common multiple of n and 4.
12
Let y = -1/2183 - -159377/39294. Find the common denominator of -49/186 and y.
558
Let s(a) = -a + 15. Let m(y) = y**3 + y**2. Let g(l) = 3*l**3 - 4*l**2 + 7*l - 5. Let h(w) = g(w) - 2*m(w). What is the least common multiple of h(5) and s(11)?
20
Calculate the lowest common multiple of ((-78)/12 + 8)*16 and 66.
264
Let i(d) = 16*d - 97. What is the lowest common multiple of 40 and i(7)?
120
What is the lowest common multiple of (420/56)/(3/16) and 16?
80
Suppose -3*m = 3*q + q + 28, 2*q = 3*m + 58. Let x = m - 65/2. Find the common denominator of x and 33/23.
46
What is the lowest common multiple of 32 and -40*(672/35)/(-12)?
64
Suppose 5*j - 15*j = -360. Suppose -j = 37*t - 41*t. What is the least common multiple of t and 2?
18
Suppose -128 = -s - 28. Suppose 5*x + 15 + s = 0. Calculate the common denominator of -65/9 and x.
9
Let f = 422 + -368. What is the smallest common multiple of f and 30?
270
Let c = -2/223381867 + 3677088915263/287715844696. Let n = c + -25/161. Calculate the common denominator of 11/6 and n.
24
What is the lowest common multiple of 62 + (4 - (13 + 3)) and 195?
1950
Let w be (-1)/(2 - (-14)/(-6)). Suppose 3*i + 89 = 5*p, 0 = -p - 5*i + w - 2. Let s = -359 + 371. What is the least common multiple of p and s?
48
Suppose 0 = -2*w - 0*w - 10051938. Let g = 1749035375/348 + w. Let q = -62/29 + g. What is the common denominator of -59/14 and q?
84
Suppose -n = -29 + 3. Calculate the lowest common multiple of 4/n - 111/(-39) and 6.
6
Let x(w) = -w**2 - 8*w + 21. Let y be x(-11). Calculate the common denominator of (-3)/1 - (-2 - y) and 41/3.
3
Suppose -b - 3*x = -7, 2*b = -5*x + 8 + 8. Calculate the lowest common multiple of b and 5.
65
Let j = -4 - -12. Let x(y) = 8*y**2 + 37*y + 3. What is the lowest common multiple of j and x(-5)?
72
Let y = 2 - -7. Suppose -5*i - y = 136. Let m = 30 + i. What is the smallest common multiple of 2 and m?
2
Suppose 1 = -5*i + 21. Let c be (-2 + (-4 - -10))*-2. Calculate the least common multiple of i and -4 - -2 - c - -1.
28
Let p = -2 + -2. Let a be 4*p/(-16)*3. Suppose a*r + 21 = 81. What is the lowest common multiple of 10 and r?
20
Let c = -91663/149680 + -1/9355. Calculate the common denominator of 73/35 and c.
560
Let s be (96/(-9))/(-1)*135/10. Calculate the least common multiple of (-1)/((-2)/4) + 