
20
Let k(s) = 0*s - 2*s - 2 + s. Suppose 4*t = 4*y - 353 + 389, -4*t + 37 = -3*y. What is the least common multiple of t and k(-4)?
10
Let b be (-615140)/(-12)*(-6 - (-561)/90). Let z = -11958 + b. Calculate the common denominator of z and -151/90.
90
Suppose -x = -9 - 0. Let z be ((-393688)/266816 - -1)*(-46)/x. Let u = 5/3411 + z. Calculate the common denominator of u and 95/8.
88
Suppose f = -2*z - 2*z + 2037, 5*z + 4100 = 2*f. Calculate the smallest common multiple of f and 7.
14315
Let y(h) = 10*h + 722. What is the least common multiple of 732 and y(-70)?
8052
Let m be ((-4)/(-20)*6)/((-2)/(-20)). Suppose 3*t - m = 12. Suppose -5*r - 37 = -2*j, 2*r = 5*j - 0*r - 40. Calculate the least common multiple of t and j.
24
Suppose -5*j = -i + 7, -141*i = -138*i + 3*j - 75. Calculate the lowest common multiple of i and 14666.
161326
Let g = 129 - 36. Calculate the common denominator of 69/586 and (g/(-1364))/((-6)/(-388)).
6446
Let t = 1542 + -1497. What is the smallest common multiple of t and 54?
270
Let t = 405619/210 + 8726/35. Let q = -2172 + t. Calculate the common denominator of q and -70/3.
6
Let s(k) = 12*k**3 + 91*k**2 - 90*k - 1. What is the lowest common multiple of (20/(-2))/(3/(-9)) and s(1)?
60
Let o(u) = -15*u**2 + 6*u - 8. Let w be o(-8). Calculate the common denominator of ((-3)/(-54))/(-8*(-4)/w) and 37/48.
144
Let l = 78 - 46. Let d = l - 53. Let y = -2/3345 + -40126/23415. Calculate the common denominator of d and y.
7
Let n(q) = -q**3 + q - 3. Let c be n(-2). Suppose c*y = p - 139, -p + 6*p - 625 = y. Let w = -112 + p. Calculate the smallest common multiple of w and 28.
84
Let b be -47*-1*2/2. Let p = 57 - b. What is the least common multiple of 13 and p?
130
Let r = 1619 - 1539. Calculate the lowest common multiple of r and 14.
560
Suppose 31*y - 36*y = -50. Calculate the smallest common multiple of (-10)/(-3)*(-81)/(-18) and y.
30
Let q be 4/30 + -3*(-1507)/(-495). Let y(v) = -v**2 - 9*v + 3. Calculate the smallest common multiple of y(q) and 1.
3
Suppose -20*q + 0*q = -21 - 39. Let g = -77 + 170. Calculate the smallest common multiple of g and q.
93
Let q be (-1 + -13)*(-30)/12. Find the common denominator of -44/39 and (57/6)/((-195)/q - -6).
78
Let z = 996 - 916. Calculate the lowest common multiple of 1300 and z.
5200
Let d(q) = 5*q - 3. Let g be d(1). Suppose -g = -p - 4*p - 4*u, -4*u - 16 = -4*p. Calculate the least common multiple of p and 42.
42
Suppose 18 = -0*p + p - 4*n, 3*n = p - 15. Let i be (4 - p - 6/(-4))*-8. Suppose -2*k + 10 + i = 0. What is the lowest common multiple of k and 5?
35
Suppose -4 = -0*j - j. Suppose -j*w + 8 = -8. What is the common denominator of (-3)/(330/955) + w and -19/22?
22
Suppose 644 = 5*w + 604. Suppose 3*g - 22 = -5*f, w*g - 2*f = 3*g + 47. What is the lowest common multiple of (2/14 - 1)*-7 and g?
18
Let x(l) = -l**2 - 12*l + 9. Let u be x(-13). Calculate the common denominator of 91/30 and ((-204)/(-40) + u)*(-2)/(-4).
60
Let x = -6211/13776 - 1/656. Let s be ((-33)/15)/((-6)/(-30)). What is the common denominator of ((-22)/6 + 4/1)*s and x?
42
Let v be (-554)/14 + (-6)/(-84)*-6. What is the common denominator of (-574)/144 + -3 + 6 and (50/v)/((-6)/45)?
72
Let c = 57234919/512 - 111787. Find the common denominator of -47/512 and c.
512
Let r = -6557/10 + 650. Let l = -10252793740 + 209997721284663/20482. Let d = 2/10241 - l. Calculate the common denominator of d and r.
70
Let v(p) = 7*p - 221. Let j(l) = 2*l - 72. Let m(t) = -17*j(t) + 6*v(t). What is the least common multiple of m(18) and 70?
210
Suppose 1443 = 3*z + 1416. Let r = 88/51 + 1093/204. What is the common denominator of r and z + -3 + -4 + (-86)/18?
36
Let g(x) = 38*x + 28. Let l be g(-6). What is the common denominator of (-4530)/l*(-25)/(-45) and (-4)/6 - 45/(-24)?
24
Suppose 13*j - 217 + 9 = 0. Calculate the common denominator of (-106)/140 + 6/(2 + j) and 95/12.
420
Let p = 55858562 + -95518135699/1710. Let a = -408350/171 - -2388. Let o = p + a. What is the common denominator of 73/56 and o?
280
Let l = 37289/207 + -1618/9. Let d = l + 4147/552. Let o = 16243/7882 + 6/563. What is the common denominator of d and o?
56
Suppose -468 - 518 = -2*s. Suppose 5*y - 2*w - 3*w - 755 = 0, 3*y = -5*w + s. Calculate the smallest common multiple of 6 and y.
156
Suppose -3 + 7215 = 3*f + 4*y, 12 = -4*y. Suppose -8*l + 6*l + f = 0. Let s = 2509/2 - l. Find the common denominator of s and -17/73.
146
Suppose 0 = 2*f + 5*v - 27, 5*f - 2*v - 49 + 25 = 0. Calculate the smallest common multiple of 44 and (-1210)/15*f/(-4).
484
Suppose -10 = 2*x, 4*t + x = -3*x - 4. Suppose 14*j + 1504 = -2*j. Let s = j - -108. What is the lowest common multiple of s and t?
28
Suppose -82087 = -33*p - 41781 + 79352. What is the least common multiple of p and 18?
32634
Let i(o) = 5*o - 1. Let f be i(3). Let g be (15 + 0)/(-5) - -7. Suppose 0 = -m - b + 4, -2*m + g*b + f = -m. Calculate the least common multiple of 4 and m.
12
Let l(n) be the first derivative of -5*n**2/2 + 67*n - 52. What is the lowest common multiple of 156 and l(13)?
156
Let i(z) = -8*z - 66. Let l(q) = 7*q + 65. Let a(c) = 4*i(c) + 5*l(c). Let j be a(-27). Find the common denominator of -25/8 and ((-125)/j)/(9*2/(-8)).
72
Let k(x) = -57*x + 3540. Calculate the lowest common multiple of k(54) and 506.
10626
What is the common denominator of -133/18 and 3 + (-23)/7 - ((-435)/1638)/(-1)?
234
Let w(i) = i**3 - 4*i**2 - 29*i - 154. Calculate the smallest common multiple of w(13) and 24.
3960
Let w be -1 - -6 - (-55)/(-5). Calculate the smallest common multiple of 6 and (29 - 10) + w*1.
78
Let p be -172*(12/(-10))/(21/(-280)). Let d = p - -44065/16. What is the common denominator of -13/34 and d?
272
What is the smallest common multiple of 672 and (-74)/222*3 + 1/((-2)/(-34))?
672
Let j be 30/35*7 + 57. Calculate the common denominator of (-400)/j - 12/54 and -13/25.
175
Suppose 2*p + 2*v + 11928 = 0, 23866 = 11*p - 15*p - 2*v. Let g = 95421/16 + p. What is the common denominator of -19/4 and g?
16
Let b = 8431/21 - 1940411/4830. What is the common denominator of 28/65 and b?
2990
Let f = -82 + 88. Suppose 2*u = -5*b + 80, -2*u + 80 = -0*u - b. Let t = u + -5. Calculate the smallest common multiple of t and f.
210
Calculate the common denominator of 5 - -1 - ((-28664)/(-4560) - (-6)/(-114)) and -13/1410.
1410
What is the least common multiple of (-11460)/(-3) + (-33)/(495/60) and 1590?
19080
Suppose 5 = -5*c - 5*u, -5*c - 2*u = -0*u - 4. Find the common denominator of (23/(-1) - c)/6 and (2 + 3)*(-9)/((-432)/(-232)).
6
Calculate the common denominator of 63/380 and ((-6)/(-48)*354)/(2 + (-56)/(-2)).
760
What is the common denominator of (304/12)/(-4)*(5 - 102/24) and 95/14?
28
Let s = 1318 - 36921/28. What is the common denominator of 10/17 and s?
476
Suppose -5*m + 20 = -4*u, -8*m + 10*m = 4*u + 8. Suppose 8*t - 10*t + 2803 = f, m*f + 1424 = t. Calculate the least common multiple of t and 2.
1404
Calculate the common denominator of 2 - (-409)/(-40) - (188 + -195) and ((-161)/(-8))/7 + -1.
40
Let u be 2 + (-294)/35 - (-6)/(-10). Find the common denominator of (-7 - u) + ((-59)/(-22) - -2) and 87/98.
1078
Find the common denominator of 63/32 and 142/(-13 - 3699/9).
1696
Let f(l) = l**3 - 3*l**2 + 2*l + 2. Let z = -32 - -41. Suppose 6*g - z = 3*g. Calculate the lowest common multiple of 6 and f(g).
24
Let t(i) = 21*i - 24. Suppose 78 = -17*k + 146. What is the smallest common multiple of 24 and t(k)?
120
Suppose -8*i - 36*i + 44 = 0. Calculate the least common multiple of (-2)/(-10)*-2*(i - 31) and 34.
204
Let h(k) = 9*k**2 + 11*k - 28. What is the least common multiple of h(2) and 63?
630
Let w = 1369760 + -1347843707/984. What is the common denominator of 97/56 and w?
6888
Let s be (-4)/(-10) + 1316/60. Let u = 697/30 - s. Calculate the common denominator of u and 2 - 1 - 46/(-18).
90
Let v = -21936 + 21988. What is the smallest common multiple of 1364 and v?
17732
Suppose -65 = -3*s - 5*k, -59 = -2*s - 3*k - 16. Suppose o - 46 = 2*o. Let b = 52 + o. Calculate the least common multiple of s and b.
60
Suppose -25 = -5*v, 2*j + 5*v = -463 - 816. What is the common denominator of 46/27 - (-3 - -7 - 1) and j/24 - -3 - 0?
54
Let a = -4/86130533 + -122305293432/1365771861781. Let n =