11/24 and (13/4628*-30)/(9/(-20)).
2136
Let s(t) = -t**2 + 9*t - 17. Let g be s(3). Calculate the common denominator of -7/160 and 129/(-6)*g/2.
160
Let x be 62/(-341) - 12676/(-22). What is the common denominator of 16/72*-1 + 50/x and 49/4?
96
Suppose 4 = -2*s, 4*c - 19 + 1 = -5*s. Let o = -4/883 - -75079/5298. Find the common denominator of 4/c*21/81 and o.
54
Suppose -290*m + 150*m + 153*m - 338 = 0. Calculate the least common multiple of m and 6.
78
Let j(a) = -a**3 - 2*a**2 - a. Let u be j(1). What is the common denominator of -69/16 and 1/u + (-184)/(-84)?
336
Let s = 238761/278096 - -63/2483. Find the common denominator of s and 53/128.
896
Suppose -56*o + 12436 = -5708. What is the smallest common multiple of 24 and o?
648
Let b be -3*5*26/(-39). Suppose b*u = 27*u - 544. What is the least common multiple of 36 and u?
288
Let o(d) = d**2 - 9*d + 16. Suppose 5*z = -2*x + 6*z + 23, -x - 2*z = 1. Let g(r) = r**2 - 3*r - 2. Calculate the least common multiple of g(-3) and o(x).
16
Let p = 3229/180 - 281/20. What is the common denominator of p and -39/16591?
149319
Let v be -2*66/3 + 0. Let n = v + 94. What is the smallest common multiple of n and ((-284)/20 + 15)*(-1)/((-2)/5)?
50
Let i(j) = 7*j**3 - 18*j**2 - j - 6. Let u(g) = -11*g - 2. Calculate the least common multiple of i(3) and u(-4).
126
Let h be 6 - (4*-3)/(-4). Suppose 0 = h*b - 13 - 2. What is the smallest common multiple of b and (-14)/(-4)*12/7?
30
Suppose 4*o + 16 = 0, -6*z - 5*o - 256 = -5*z. Suppose 80 = 4*p + p. Calculate the least common multiple of 2/6 + z/(-12) and p.
80
Let i = 6 - -12. Let o = 61 - 59. Suppose 21 = -c + o*c - 4*s, s + 29 = 5*c. Calculate the smallest common multiple of c and i.
90
Suppose -a = -32 - 9. Suppose 50*t = a*t + 954. What is the least common multiple of t and 8?
424
Let w = 8 + 0. Let v be (-3084)/(-21) + (-25)/(-175). Suppose -c + v = 48*c. What is the smallest common multiple of c and w?
24
Suppose -4*y = -79 + 15. Let f(h) = -h + 11. Let w be f(8). Suppose r - 6*i + i - w = 0, -5*r + 4*i = -15. Calculate the lowest common multiple of r and y.
48
Let y = -153/4 + 2705/2. Let h = 3595 + -4894. Let i = h + y. Calculate the common denominator of -15/16 and i.
16
Let o = -2469 - -29569/12. Find the common denominator of o and (99/(-24) - -5)/(14/35).
48
Let d = -439367/1133868 - 3/6196. Calculate the common denominator of (-460 - -453) + (26/3 - (-6)/(-27)) and d.
549
Let v be 35/(((-20)/(-6))/(4/3)). Suppose -v*h = 117 - 817. What is the least common multiple of 8 and h?
200
What is the least common multiple of 49 and (0 + 7399)*204/1428?
7399
Let l(v) = 8*v - v**2 + 7*v**2 - 12 - 7*v**2. Let o be l(3). Find the common denominator of 6/2 + ((-246)/22)/o and 36/11.
11
Let s = -27076 - -54125. Let j = s - 2677804/99. Calculate the common denominator of 17/99 and j.
99
Let m(z) = 7*z**2 + 1. Calculate the lowest common multiple of (9/12)/(60/400) and m(1).
40
Let b = 107 + -105. Suppose -b*f - 40 = -44. Suppose f - 5 = 2*l - 3*u, 3*u - 21 = -l. What is the smallest common multiple of 5 and l?
30
Suppose -r = 7*h - 334, 2*r + 176 = 4*h - 2. Calculate the least common multiple of h and -3*1 - 28/(-4).
188
Suppose -2*f = 4*u + u + 1494, 2*u + 597 = -f. What is the common denominator of (-2)/10 + (-261)/u and -25/4?
100
Suppose 3*y + 38 = 4*y - 5*f, -5*y = 3*f - 78. Let i be (3/4)/(3/108). Let k = i + -15. Calculate the least common multiple of k and y.
36
Let b = -9839339 + 246035884/25. Let s = -2095 + b. Calculate the common denominator of s and 179/30.
150
Let t = -2/8081 - 153483/226268. What is the common denominator of t and 39/616?
616
Let t = 958976 + -2002729/2. Let j = t + 46397. Let z = j - 264421/66. What is the common denominator of z and 11/9?
99
Let l = 94424 - 52011. What is the least common multiple of l and 9?
381717
Suppose y = -3*y + 800. Let m = 1621 + -16249/10. Find the common denominator of (-1)/4 - 58/y and m.
50
Suppose -5*t = -2*d - 19, 3*d - 35 = -2*d - 4*t. Suppose d*m = 4 + 29. What is the lowest common multiple of m and 6*-5*(-21)/70?
99
Let m be (-1)/3 + (-2)/(-6). Suppose m = -7*v + 583 + 943. Calculate the smallest common multiple of 6 and v.
654
Let o = -43868/5098191 + 2/7071. Calculate the common denominator of o and -51/412.
2884
Let r = -113 + 407. Calculate the lowest common multiple of 165 and r.
16170
Suppose -42218 = -294*r + 275*r. What is the lowest common multiple of r and 10?
11110
Let z = 44507/7194 + -24/1199. Let g = -1080 + 19489/18. What is the common denominator of z and g?
18
Suppose 4*z + 2*v = 2, v - 5*v = -2*z + 26. What is the common denominator of (-3393)/1450*(-5)/z and (-1410)/396 + (-1)/(-3)?
110
Let t(f) = 4*f**2 - 9*f - 21. Let k be t(7). Let g = -1 - -15. What is the smallest common multiple of 1184/k + (-8)/g and 7?
70
Let q(s) = -s**2 + 18*s - 56. Let t be q(14). Suppose 3*h - 4*f - 94 = t, -h - f + 31 = -2*f. Calculate the smallest common multiple of 33 and h.
330
Let h(j) = j**2 - 4*j - 2. Let y be h(4). Let n be y/11 - (-12792)/(-66). Calculate the common denominator of -8/5 and -1 - n/64*2.
80
What is the least common multiple of 39 and (-17 + 23)*(163 - 0)?
12714
Let u = 236 - 255. Let w(r) = -9*r - 129. Calculate the lowest common multiple of 30 and w(u).
210
Let i(k) = 7*k**2 - 34*k + 144. Let p(r) = -8*r**2 + 34*r - 145. Let g(y) = -7*i(y) - 6*p(y). What is the least common multiple of g(26) and 45?
630
Let v = 1/157 - -5803/942. Let m be (20/9)/(-5) - (-14)/(-9). Calculate the common denominator of v and (1/m)/(3/261).
6
Let r be (-3 - 3287/7) + (1 - -3). Let i = 42948/91 + r. Calculate the common denominator of (-4)/(-6)*(-462)/16 and i.
52
Suppose -3*h = 46*h + 98. What is the common denominator of -47/4 and (18837/(-70))/(-23) + h/1?
20
Let u = 18526 - 555859/30. Let l = -653234607367/2370 + 275626411. Let f = -51/158 + l. What is the common denominator of f and u?
30
Let h(p) = 13*p**2 - 9*p - 50. Let c(s) = 7*s**2 - 4*s - 25. Let u(m) = 11*c(m) - 6*h(m). What is the least common multiple of u(12) and 59?
59
Suppose -6*c + 83 - 11 = 0. Suppose 0 = 3*u - u + 2*t - 72, -5*t = u - 56. Let q = 55 - u. Calculate the smallest common multiple of c and q.
24
Let v be 0/(6 - (5 + 0)). Suppose 2*w - 5*o - 31 = v, 5*w - 26 = -4*o + 2. What is the lowest common multiple of 214 and w?
856
Let d = 1108/7 - 18281/112. Let m = -34 - -28. Calculate the common denominator of 1/1*59/m and d.
48
Suppose -22 + 2 = -5*b. Suppose 4*y + b*p - 16204 = 0, -6*y = -9*y + 2*p + 12168. Let g = y - 81047/20. Find the common denominator of g and -65/28.
140
Suppose 4 = -2*j + 2*y, -4*j + 7*j - 18 = -3*y. Suppose -34 = -4*q - 5*w, w - 5*w - 10 = -3*q. What is the lowest common multiple of ((-105)/q)/(3/(-6)) and j?
70
Let r = -67/371 + 60680/436667. What is the common denominator of 23/2 and r?
2354
Let f = 3562 - 3154. What is the lowest common multiple of 544 and f?
1632
Suppose 0 = 3*t + 2 - 35. Suppose -19 = -c - c - 5*o, -5*o = -2*c - t. What is the least common multiple of 9 and 30 + c/8*0?
90
Let v = -8931 - -8941. Calculate the least common multiple of v and 1009.
10090
Suppose 3*j - 8*j + 5*s = -100, 2*j - 16 = -4*s. Suppose 3*y - 47 = -y - o, 5*y = -4*o + 56. Calculate the lowest common multiple of j and y.
48
Let o(s) = -3*s**2 - 108*s + 110. Let f be o(-37). Let v(h) = 2*h**2 - 25*h - 22. Calculate the least common multiple of (-2)/4 - 7/(-2) and v(f).
15
Let m = -18104/33 + 2207093/4026. Calculate the common denominator of 694/(-220) + (4 - 76/20) and m.
4026
Suppose -20 = -34*c + 30*c. Suppose 2*w + k - 158 = 0, c*w + 2*k - 400 = -7. Calculate the common denominator of 44/15 and ((w/(-105))/1)/((-6)/(-25)).
90
Let d(c) = -1927*c - 17260. Calculate the lowest common multiple of d(-9) and 3486.
3486
Let q be -10 + -24*3/(-6). Suppose 8*y - 11*y = -v - 84, 3*v - 45 = -q*y. Suppose 32 - 113 = -3*c. Calculate the lowest common multiple of y and c.
27
Let d = 405 + -414. Calculate the least common multiple of (1 - d - 3) + 0 + 1 and 32.
32
Let c(m) = -2*m**2 + 31*m + 54. Let s(d) = 13*d**2 + 88*d - 5. Let u be s(-7). Calculate the common denominator of 37/7 and c(u).
7
Let j(o) be the third derivative of o**5/30 - o**4/12 + o**3/6 + 2*o**2. Let p be j(1). Calculate the least common mult