d ((-152)/(-14))/(52/u).
52
Let t = 6 - -44. Suppose -3*i + p = -35, 0 = -4*i + 4*p - 2*p + t. Let j(s) = s**3 - s**2 + 9. Calculate the lowest common multiple of i and j(0).
90
Let m = -42314909/12 + 3531390. Let j = m - 5151. Find the common denominator of j and (11/66)/(115/175).
276
Suppose -57*f + 64*f + 3339 = 0. Let g = f - -478. Suppose 5*n + 17 - 52 = 0. Calculate the lowest common multiple of n and g.
7
Suppose -l + 3 + 1 = 0. Suppose -2*r - j = -0*j + 2, 4*r = 2*j - l. Find the common denominator of r + -1 + 185/(-90) and 103/66.
198
Let o = 586561/615060 + 2/51255. Suppose 0 = 4*s + 5 + 7. What is the common denominator of o and (-8309)/(-462) + s + 2/11?
108
Let x = 42 - 21. Let n = -109 - 139. Let o = 275 + n. What is the least common multiple of o and x?
189
Let n be (-24)/156 - 31251513/82322136. Let c = n - -8/13887. Find the common denominator of 111/20 and c.
760
Suppose -3348 = -69*p - 837 + 2043. What is the smallest common multiple of 561 and p?
1122
Let q = -393 + 399. Suppose 3*g + q - 39 = -w, 4*w - 4*g - 180 = 0. What is the smallest common multiple of 30 and w?
210
Suppose 0 = 20*f - 7056 - 22764. What is the lowest common multiple of f and 21?
1491
Let k be (-44)/(-40)*8455/6 + 1. Let n = k + -1544. Find the common denominator of n and 67/27.
108
Let t(o) = 28*o**2 - 17*o - 18. What is the lowest common multiple of t(-2) and 960?
1920
Suppose 0 = 5*o + u - 206, 14*o - 2*u = 9*o + 188. What is the smallest common multiple of 28 and o?
280
Let g = -200 - -230. Suppose g*v - 64 = 26*v. Calculate the least common multiple of v and 3.
48
Suppose -3*r + 4*r + 5 = -3*s, r - 7 = 3*s. Suppose 3*t = 5*z - 13, 0*z - 5*t - 1 = 2*z. Calculate the least common multiple of ((-1)/r)/(8 - 450/56) and z.
28
Suppose -144 = 26*a - 20*a. What is the least common multiple of (a/(-10))/((-2)/(-15)) and 60?
180
Let m = -924197/674268 - -13/8027. Let q = -772929/22 - -35132. What is the common denominator of q and m?
924
Let k(a) = a**3 - 14*a**2 + 32*a - 45. Calculate the smallest common multiple of k(12) and 3672.
3672
Suppose a + 0*a - 20 = 0. Let v(q) = 103*q - 421. Let h be v(-6). Let c = h + 1045. Calculate the lowest common multiple of c and a.
60
Suppose -m - 1 = m - 3*s, 2*s - 8 = 5*m. Find the common denominator of (-2)/(-4)*m + 384/54 and 14/33.
99
Suppose 110 = -2*g + 5*k, -124 = -3*g - k - 323. Let a = g + 79. What is the least common multiple of a/(3 - (-2 - -3)) and 2?
14
Let h = 189898 + -189727. Suppose -3 = m, -4*d + 58 = 2*m + 16. What is the least common multiple of h and d?
684
Suppose 61*x + 1950 = 11*x. Let q = -65821/18 - -3658. Calculate the common denominator of q and (-8)/(520/x) - 1438/(-120).
36
Let p = -2/8805 + 390359/17610. Find the common denominator of p and 5/(-3)*((-3308)/470 - -7).
282
Suppose -15 = -4*d + d. Suppose -111 = -3*a - 3*v, -8*a = -6*a - d*v - 95. What is the least common multiple of a and 128?
640
Let l = -11357 - -13653. Calculate the lowest common multiple of 11 and l.
25256
Let t = -13321 - -13398. Let p(g) = 71*g**2 + g. Calculate the smallest common multiple of t and p(-1).
770
Suppose 5*v = -4*o - 55, 3*v + 21 + 29 = o. Find the common denominator of -5*3*12/70 and 1*((-264)/v - 6).
35
Suppose -3*m - 4*w + 13 = 0, w - 19 = -5*m - 3*w. Suppose -m*o + 5 = -7. What is the lowest common multiple of o and 31?
124
Let v = 9883 + -9842. What is the smallest common multiple of v and 34?
1394
Suppose 2*l + 34 = -5*z + 4*l, -15 = 5*l. Let r = 6 - -12. Calculate the smallest common multiple of r and (z/5)/(-4*(-7)/(-70)).
36
Suppose -k + 3*t + 2 = -48, 4*k - 4*t = 192. Suppose -37 = -3*o + a, -6*o = -2*o + a - k. What is the least common multiple of 6 and o?
12
Let q(n) be the third derivative of n**5/60 + 7*n**4/24 - 104*n**3/3 + 2*n**2. Calculate the smallest common multiple of q(-19) and 4.
20
Let x(z) = z**3 + 11*z**2 - 2*z - 37. Let f be x(-11). Calculate the least common multiple of 10 and 4*3/(-18)*f.
10
Let p = 1568 + -648. Calculate the smallest common multiple of (-4)/22 + (p/55)/4 and (174/4)/((-6)/(-16)).
116
Suppose -22 - 26 = 12*j. Let n = 26 - j. Let s = 660 + -654. Calculate the lowest common multiple of n and s.
30
Suppose 7*p - 4*c = 2*p + 34, -4*c = 4. What is the common denominator of p - (-1798)/(-144) - (-6)/16 and ((-468)/27)/((-38)/(-6))?
171
Suppose 2 - 42 = -4*i. Let x be 16/10 + 6 + (-56)/i. Calculate the common denominator of -45/11 and (-1967)/(-1778) + (-3)/x.
1397
Let d(z) = -83*z + 189. Let q be d(-20). Let o = -16657/9 + q. Find the common denominator of 28/9 and o.
9
Suppose 2*n - 5 - 3 = 0. Suppose 7*q - 5*h = n*q + 47, -5*h = -10. Suppose 7*c - q = 30. Calculate the smallest common multiple of c and 4.
28
Let h = 449 - 518. Suppose 53 = -u + 3*b + 144, 0 = 5*b - 10. Let n = h + u. Calculate the lowest common multiple of 6 and n.
84
Let m(k) = 224*k**2 + 13 - 46*k**2 - 1 + 5*k. Let p be m(-4). What is the common denominator of -69/10 and (p/300)/((-4)/(-5))?
30
Suppose -4*s - 2*c - c + 20 = 0, s - 2*c + 6 = 0. Let g be s/(-7) + (1548/42)/3. Suppose -g*l = -10*l - 6. What is the least common multiple of 18 and l?
18
Calculate the common denominator of -23/3171 and (-33)/(165/86)*-10*2/48.
6342
Let t = 157 + -144. Suppose -t*h + 36 = 23. Suppose 0*b - 28 = -4*s - 2*b, 4*s = 4*b + 40. Calculate the least common multiple of s and h.
8
Let j = -24722 + 29624. What is the lowest common multiple of j and 30?
24510
Let g = 726 + -722. Suppose -24*r + 1188 = -18*r. What is the smallest common multiple of r and g?
396
What is the least common multiple of ((-20)/14 + -2)/((-243)/1134) and 68?
272
Let p = 95 - 53. Suppose 0 = -9*b + 573 - 195. What is the smallest common multiple of p and b?
42
Let w = -7674 + 8034. Calculate the smallest common multiple of 1480 and w.
13320
Suppose -4*a + 3*u = 9, 4*a + 0 = 2*u - 10. Find the common denominator of -33/68 and 2780/(-120) - ((-2)/a + -1).
204
Let x be (225/2)/(7/(-644)*2). Find the common denominator of 113/18 and (35/x*3)/(3/(-3)).
2070
Suppose -5*u = 3*g - 6489, -5*g + 662 + 4537 = 4*u. Calculate the lowest common multiple of u and 108.
1296
Let j = -9535/6 + 1594. Find the common denominator of j and (-179500)/18600 + 3*3.
186
Let v = 7116 - 26157. Let k = v - -685603/36. Find the common denominator of k and 111/44.
396
Let w = 47281771/315 - 1255994/9. Let j = -10544 + w. Calculate the common denominator of j and 59/14.
70
Let a = 315/236 - 67549/37524. Calculate the common denominator of a and 34/99.
5247
Let m = -2134379/60 - -35572. What is the common denominator of 55/464 and m?
6960
Suppose 0 = -41*x + 27*x + 89838. Let k = x + -57812/9. Calculate the common denominator of k and 21/85.
765
Let r(s) = -s**2 + 4*s + 99. Let h be r(-8). Suppose -4 = h*t - 1, 154 = 2*y + 2*t. Calculate the smallest common multiple of y and 16.
624
Calculate the smallest common multiple of (2/6)/(-23 + 40380/1755) and 75.
975
Suppose 43*v - 66 - 106 = 0. What is the lowest common multiple of v and 784?
784
Let g = -22892 + 1648187/72. Calculate the common denominator of g and 53/64.
576
Let w = -16587 + 16623. Calculate the smallest common multiple of 5704 and w.
51336
Let u(l) = 10*l - 5*l**2 + 13 - l**3 - 4 + 0 - 3*l. Let r be u(-6). What is the least common multiple of 94 and (r - (1 + 3)) + 15?
658
Let n = 12218 + -12072. What is the least common multiple of 82 and n?
5986
Let c be (1/6 - (-11815)/30)/582. Let b = 1/97 - c. Find the common denominator of 44/61 and b.
183
Let n(y) = -y**3 + 5*y**2 - 7*y + 5. Let s be n(2). Find the common denominator of -1/21 and (-2 + (-298)/(-36))*s/(-4).
168
Calculate the smallest common multiple of 600 and 1*(88 - (8 + (-2)/2)).
16200
Suppose -7*d - 19*w = -11*d + 528, 0 = -d - 2*w + 132. Suppose 0 = -4*m + 118 + 506. Calculate the smallest common multiple of d and m.
1716
Let r be -1 + -1*15790/18174. Let h = -71/233 - r. Calculate the common denominator of h and 68/15.
195
Suppose -75*l + 74*l = -128. Calculate the lowest common multiple of 128 and l.
128
Let u(l) = -l + 14. Suppose 0 = -2*n - y - 54, 65 = -3*n - 2*y - 14. Let b = 36 + n. Calculate the lowest common multiple of 7 and u(b).
7
Let j = -155902/409035 - 5/7437. Find the common denominator of -29/205 and j.
2255
Calculate the co