t d = 6101 + -73295/12. What is the common denominator of d and 6/((-72)/175) - -3?
12
Let c = 500 + -276. What is the lowest common multiple of c and 16?
224
Suppose -4*g + 125 = -315. What is the common denominator of -64/9 and g/9*(-32)/80?
9
Suppose 28 = 2*a - 24. Suppose -k - 5*j + a = 0, 3*k + j + 1 = 37. Find the common denominator of (k/12)/(75/(-495)) and -145/18.
180
Let h be 742547/(-70) - (-2)/(-5). Let l = h + 10602. What is the common denominator of 9/12*(-304)/24 and l?
14
Suppose -5*x + 195 = -5*s - 80, 166 = 3*x - 2*s. Calculate the smallest common multiple of x and 35.
280
Let v = -258/7 - -37. What is the common denominator of v and 1926/225*(-120)/96?
70
Let o(i) = 9*i**2 + 1. Let v(p) = 46*p**2 - p + 5. Let j(g) = 11*o(g) - 2*v(g). What is the smallest common multiple of j(-1) and -5 + (11 - 3) - (-5 + 2)?
6
Let f be 22/(-99) - 140/18. Let g = 2 - f. Calculate the common denominator of -9/20 and 100/144*44/g.
180
Let l(t) be the first derivative of -t**2/2 - t - 3. Let p = -250 - -270. What is the least common multiple of l(-3) and p?
20
Let n = -1427/153 - -82/9. What is the common denominator of n and 34/69?
1173
Suppose 9*q = 5*q + 60. Suppose 4*m + 1 + q = 0. Find the common denominator of 101/18 and (-24)/64 - 1/m.
72
Let k be 4/(-22) + (-3888)/33. Calculate the common denominator of (5/20)/(1/k) and 37/6.
6
Let a = 158215/16228 - -2/4057. Let c = -791 + 4759/6. Find the common denominator of a and c.
12
Suppose -y + 4*n + 24 = 0, 2*y + 0*y - 2*n = 48. Let l = -8 + y. What is the common denominator of l and 39/4?
4
Let o be ((-461)/6)/((-3704)/(-216) - 17). Let b be 2/(-6) + 1565/(-3). Let w = b - o. Find the common denominator of 1 and w.
8
Let t(n) = n**3 + 8*n**2 + 7*n + 6. Let k be t(-7). Let o(j) = 4*j - 18. What is the lowest common multiple of 11 and o(k)?
66
Let a = 4/209 - -6218/2717. Find the common denominator of 79/22 and a.
286
What is the least common multiple of 38 and 57/(-38)*-8*(-190)/(-12)?
190
Let w = -1543/1656 - 7/552. Let d = -6165851/10 - -623254. Let y = 6676 - d. Calculate the common denominator of w and y.
90
Let a = -154805/4 + 38934. Let g = 103 + -328. Let t = a + g. Find the common denominator of -29/20 and t.
20
Let k = -1423/8450 + -29/169. What is the common denominator of 25/12 and k?
300
Let s = -29 - -41. What is the lowest common multiple of 2*(-4 + 6) - -4 and s?
24
Suppose 0*c - 65 = 5*c. Calculate the common denominator of (3 - (-41)/(-16))*c and (-1353)/154 - (1 - 2).
112
Let q be ((-155)/(-2))/((-19)/(-399)). Let o = q - 1658. Find the common denominator of 4/14 + (-1473)/(-210) and o.
10
Suppose 0 = -0*f - 4*f - 16, -5*b - 2*f + 22 = 0. Let a be (2/3)/((-3)/(-9)). Let g = 3 - a. What is the least common multiple of g and b?
6
What is the least common multiple of 6 and (-38)/(-12) - (-9)/(-54)?
6
Let j = -6 + 16. Let z = 0 + j. Suppose -9*h - 5*s + 10 = -10*h, -2*h + 2*s + 12 = 0. What is the smallest common multiple of h and z?
10
Let b be 0/((-2)/(-4)*2). Let o be 2 - 3/(-3 - b). Suppose -5*y - 2 - 19 = -2*q, 3*q - 21 = -o*y. What is the smallest common multiple of 10 and q?
40
Suppose -5*c = -2*q - 65, -q + 25 = -6*q. Suppose 0 = -c*v + 64 + 57. Calculate the smallest common multiple of 21 and v.
231
Let g(w) = -2*w + 26. Let y be g(13). Suppose y = -2*o + 4*t - 19 + 5, -3*o + 4*t = 19. Let l = -1 - o. What is the lowest common multiple of l and 18?
36
Let u(m) = -3*m - 47. Let h be u(-22). Let y = h - 5. Suppose 4*j - 87 - 1 = 0. What is the lowest common multiple of y and j?
154
Let h = 91027/1260 + -2652/35. Find the common denominator of h and 107/90.
180
Let d = -655 - -10431/16. Let s = -4676 - -173058/37. Let w = -403/592 + s. What is the common denominator of w and d?
16
Suppose 0 = -3*f - 4 + 16. Let o be (-185)/(-98)*f/5. Let s = o - 3949/441. What is the common denominator of 32/5 and s?
45
Let p = -27 + 28. Find the common denominator of p/5 + -2 + (-692)/(-120) and -35/33.
330
What is the least common multiple of (5/2)/(-5)*-4 and 128?
128
Suppose -580 + 2884 = 6*w. Suppose 2*c + 2*c + w = 0. Find the common denominator of -47/16 and (-4)/5*1116/c.
80
Let w(f) = f**3 - 2*f**2 - 12*f - 6. Suppose 25 = -3*b + 8*b. What is the lowest common multiple of 2/7 + 52/14 and w(b)?
36
Let h = 833 + -777. What is the smallest common multiple of h and 21?
168
Let x = -2/654851 - 102811211/129660498. What is the common denominator of -53/18 and x?
198
Let m(v) = 3*v**2 - 14*v + 2. Let g(o) = o**2 - 7*o + 1. Let n(c) = 7*g(c) - 3*m(c). What is the least common multiple of n(-3) and 12?
12
Let q be ((-16)/20)/(4/(-10)). Let h be (-185 + q)/(-3) - 3. Let r = h + -40. What is the lowest common multiple of 2 and r?
18
Suppose -2*f + 8 + 2 = 0. Suppose -110 = -5*h + 3*a, f*a + 4 = -h + 26. Let y = 220/7 + -27. What is the common denominator of y and h?
7
Let l be ((-194)/20)/((-1)/(-271)). Let z = l + 2633. Calculate the common denominator of z and ((-38)/6156*27)/((-2)/22*-1).
30
Suppose 0 = 2*a + 2*i - 28, -4*i + 0*i = 3*a - 47. Suppose 0 = h + 3*h + w - 26, 0 = 4*h - 3*w - 18. What is the lowest common multiple of h and a?
18
Let n be 107060/73923 + (-12)/18. Let c = n + -2/1803. Let j = c - 2239/820. What is the common denominator of j and -87/2?
20
Calculate the lowest common multiple of 5/5*(395 + (7 - 9)) and 72.
9432
Let l = 163 + -118. Suppose -3*a - 3*f = -l, -17 = -a + 2*f - 5. Suppose z - 2*z = 4, -2 = 3*d + 2*z. What is the least common multiple of d and a?
14
Suppose 151*i - 161*i + 2730 = 0. What is the smallest common multiple of i and 39?
273
Calculate the common denominator of 14/14 + 17/6 and 19/26.
78
Suppose -6*b + 30 = -0*b. Let a(q) = 5*q + 35. Calculate the lowest common multiple of b and a(-6).
5
Let t(o) = -o**2 - o + 12. Let w be t(6). Suppose 5*b = -3*h - 27, 5*b + 24 = -h + 5. What is the common denominator of 47/4 and ((-31)/h)/(w/24)?
20
Let v(p) = p + 10. Let h be v(-7). Let y(r) = r**2 - r + 1. Let q be y(0). Let s = h + q. Calculate the smallest common multiple of 6 and s.
12
Let q(y) = -4*y - 2. Suppose -5*k - 16 = 2*r, -4*k + 5*k + 5*r = -17. Calculate the lowest common multiple of 6 and q(k).
6
Let o be (-38044)/(-2010)*(105/20 + -4). Let x = o + 34/67. Find the common denominator of (1/(-3))/((-80)/(-1044)) and x.
60
Calculate the common denominator of -41/60 and 9563/(-4599)*6/4.
420
Calculate the least common multiple of 35 and 1686/16 - 27/(-72)*-1.
105
Let q(f) = 11*f**3. Let o(u) = u**2 - 5*u + 1. Let s(x) = 6*x**3 - 2*x**2 + x. Let w be s(1). Let p be o(w). Calculate the lowest common multiple of q(p) and 2.
22
Let v(n) = -n**3 - 28*n**2 - 26*n + 47. Calculate the lowest common multiple of v(-27) and 272.
1360
Let o(h) = h**3 + h**2 - h - 1320. Let q be o(0). Suppose 6*w = 3*w - d - 48, -2*d = -5*w - 91. What is the common denominator of w and 556/q*-3 + 5/50?
11
Calculate the common denominator of -39/25 and (-198)/(-81) + -2 + -5.
225
Let w be (-34)/(-6) - (-22)/(-33). Let a be 12/w - (-2)/(-5). Let i(l) = 2*l**3 - 2*l**2 - l + 2. What is the least common multiple of 9 and i(a)?
72
Let q = 8963/4 - 2228. Calculate the common denominator of -22/3 and q.
12
Let n = -303 + 335. Calculate the smallest common multiple of 12 and n.
96
Let i = -620 - -732. Calculate the least common multiple of i and 9.
1008
Let x(w) = -w**2 + 17*w + 21. Let u be 164/9 - 8/36. Let k be x(u). Suppose s - 17 = p, k*s + 6*p = p + 75. Calculate the smallest common multiple of 10 and s.
20
Suppose 7*i - 14*i = -168. Suppose i*r - 17*r = 14. Let q(z) = z**3 + z + 8. What is the least common multiple of q(0) and r?
8
Suppose 0*d - 5*d + 3*k = -68, -3*d - 3*k + 60 = 0. Suppose 2*c = 6*c - d. Calculate the smallest common multiple of 38 and c.
76
Let k = 2091 + -37579/18. What is the common denominator of 46/16 + (-1 - 3) and k?
72
Let y(c) = c**3 - 1. Let t be y(1). Suppose z + 5*i = -t*z, -15 = -2*z + 5*i. Suppose -z*d = -11 - 79. Calculate the smallest common multiple of d and 18.
18
Let c = 739423/240 + -9241/3. Find the common denominator of c and 119/48.
240
Calculate the least common multiple of 144/(-21)*(-2940)/56 and 8.
360
Let g = 2905335 + -10726510787/3692. Let y = -158/71 - g. What is the common denominator of y and 27/20?
260
Let n = -9168 + 16153