et d(a) = -5*a**3 + 2*a**2 + a - 4. Let t be d(-3). Suppose 5*x - t = -4*s, 5*x + 16 = 3*s + 134. What is the smallest common multiple of 6*-3*(-1)/36*6 and x?
78
Find the common denominator of 13/18 and (30/(-140))/(1998/4921).
36
Let q = 83/5 + -23/30. Let n be (-57)/(2/9 + (-93)/54). Find the common denominator of (0 - n/(-180)) + 4/10 and q.
18
Let i = 10011/2 + -140221/28. What is the common denominator of i and 117/340?
2380
Suppose -3889*j + 3893*j = -2*h + 8216, 5*j - 40 = 0. What is the lowest common multiple of h and 42?
28644
Suppose -48*x = -408 - 24. Calculate the least common multiple of x and 50.
450
Let j = 3283/2 - 1615. Calculate the common denominator of j and -81/10.
10
Let k(t) = -t**2 + 32*t - 56. Let h be k(30). What is the lowest common multiple of (h*(-5)/(-20) - -81)*2 and 8?
328
Suppose -2*t + 16 = 4*v, 7*t = 6*t. Suppose 3*d - 2*i = 290, -4*d + v*i - 29 = -417. Calculate the least common multiple of 36 and d.
288
Let m = -84 - -112. Suppose -m*u + 2*u = -260. Calculate the least common multiple of 122 and u.
610
Suppose 0 = 6*v + v - 14. Let t(o) = o**2 - 4*o + 5. Let c be t(v). Suppose f + d = -c, 4*d + 15 + 4 = f. Calculate the smallest common multiple of 24 and f.
24
Let n = -23805173775/124 + 4234940498675717/22059600. Let t = 2/44475 - n. Calculate the common denominator of -93/80 and t.
80
Calculate the common denominator of (-12646)/(-101556) + (69/(-322))/(6/4) and 49/27.
21762
Suppose -4*j = -6*j - 85120. What is the common denominator of j/(-35328) + 4/46 and -133/132?
264
Let t(k) = 54*k**2 + 14*k + 84. Let s be t(-7). What is the common denominator of 17/7 and 9044/s - (-9)/(3*-1)?
658
Let m = 10 - 55. Let y = m + 38. Find the common denominator of 2/y*(-5 - (-20)/8) and 2/11.
77
Let x = 98081/2 - 45705709/932. What is the common denominator of (-48)/80 + (-66)/(-160) and x?
3728
Let d = 3144/13 - 233683/962. Calculate the common denominator of -35/24 and d.
888
Let o(q) = -95*q + 605. Calculate the least common multiple of o(0) and 99.
5445
Suppose -a - 5*v = 55, -3*a + 14*v - 12*v - 114 = 0. Find the common denominator of 43/30 and (14/21)/(a/(-99)).
60
Let z = -118551241/1518 + 78097. Calculate the common denominator of 9/598 and z.
19734
Let l be 4/282*18/5268. Let h = l + -887274/1134815. What is the common denominator of h and -41/35?
385
Suppose 0 = i - 2*i - 1522. Let w = -23167 + 764576/33. Find the common denominator of w and (-10)/(-35) + i/(-504).
396
Suppose 4*p = c - 3*c + 48, 0 = -2*p + 8. Let t = 21 - c. Suppose 76 = t*o - 89. What is the lowest common multiple of o and 36?
396
Let h = -23505 + 423199/18. Let n be (-34)/(-6)*42/56. Let s = -15/8 + n. Find the common denominator of s and h.
72
Suppose -2*h - 3*b + 86 = -0*b, 0 = -2*h + 4*b + 100. Suppose 4*t + 18 = -2*t. What is the lowest common multiple of h and ((-52)/39)/(1/t)?
92
What is the smallest common multiple of 168 and 4/(-8)*1 - 1830/(-20)?
2184
Suppose -y - 3*t - 5 = 5, -2*y = -2*t - 12. Suppose -4 = -h + 2*x, y*h + h - 12 = 5*x. Suppose -6*n = -80 - 16. Calculate the least common multiple of n and h.
16
Let m(p) = -390*p**3 + 4*p**2 + 3*p - 1. What is the least common multiple of 10 and m(-1)?
390
What is the common denominator of (5 - 1606530/100392) + (-11)/(-1) and -7/12?
50196
What is the common denominator of 738/360*(-12)/18 and -97/210?
210
Let b = 4131 + -3357. What is the smallest common multiple of 30 and b?
3870
What is the least common multiple of 576 and (27/6)/3*-48*(-16)/12?
576
Calculate the common denominator of ((-2)/(-52))/((-11)/(374/(-12))) and ((-4)/(-1680)*1261 - 3) + 6/(-21).
780
Suppose 18*u - 23*u + 6160 = 0. What is the common denominator of (99/u)/(1/2) and 83/24?
168
Let v = -4456 + 66914/15. Let s = 39843 + -359742449/9029. Let o = s + -966055/216696. Find the common denominator of o and v.
120
Let o = 3/3202 - 31141/29820226. Let s = o - -381892/549467. Find the common denominator of s and 2/(0 + -2) + (-1110)/(-90).
177
Find the common denominator of 58275/21756*1/(-132) and 85/22.
1232
Let v = -19 + 22. Suppose -5*x - d + 22 = 0, -2*x = -5*x - v*d + 6. Calculate the common denominator of 63/10 and (-51)/7*x/(-15).
70
Let v = -8599 - -86299565/10036. Let q be 0 + (-1)/7527*85934. Let y = q + v. Calculate the common denominator of -35/11 and y.
132
Calculate the common denominator of (18/(-24)*104/(-28))/(-3) and 3/(-1)*(-292)/(-144).
84
Calculate the least common multiple of 402 and 9*(260/3)/13*1.
4020
Let p be ((-218543)/(-325))/(6/(-5)). Let i = -2792/5 - p. Calculate the common denominator of i and -97/48.
240
Suppose 0 = 7*g + 346 - 668. What is the common denominator of 77/24 and (g/32)/(33/44)?
24
Suppose -16 = -4*z + 3*u + 31, 3*u = -4*z + 41. Calculate the least common multiple of z and 6 + 14 + -4 + -5.
11
Let k be (-176023)/((-1)/((3 - 0)/60)). Let c = -8803 + k. Find the common denominator of c and -157/378.
3780
Let j be (3 - 973/(-14))*6/(-3). Let k = j + 244. What is the least common multiple of 63 and k?
693
What is the common denominator of 61/1595 and 7071/(-440) - (-464)/29?
12760
Suppose 4*h + 2*h = 48. Suppose -39 = -h*g + 17. What is the smallest common multiple of 11 and g?
77
Let s(k) = -4*k**3 + 21*k**2 + 21*k - 8. Let r be s(-22). Let w = r - 3450941/66. Find the common denominator of -49/9 and w.
198
Suppose 298 = 4*w - 6*q, 4*w + 13 - 314 = 3*q. Calculate the least common multiple of w and 95.
380
Suppose -6210 = -5*c - b + 1773, 5*b = c - 1607. Let g = -2/171805 + -1621323773/1030830. Let y = c + g. Find the common denominator of 40 and y.
6
Suppose 220*s - 224*s + 17940 = 0. What is the lowest common multiple of 69 and s?
4485
Suppose -2*n + 3*y = 1125, 2*y - 2210 = 4*n + 4*y. Let v = -5885/26 + 130549/572. What is the common denominator of v and n/140 - 1/(-2)?
308
Let x be 6 + (-6 - 13/(4940/(-384))). Let u = x + -10381/2470. Find the common denominator of u and 107/30.
390
Let v be (0*(-2)/(-4))/(-5 + 2). Suppose v = -3*z + 15, -j + 37 = -3*j - z. Let c(i) = i + 25. Calculate the least common multiple of c(j) and 16.
16
Let i = 251 + -51. Let x(p) = p**3 - 5*p**2 + 713*p - 3558. What is the smallest common multiple of x(5) and i?
1400
Suppose -255 - 1253 + 208 = -325*m. What is the smallest common multiple of 2268 and m?
2268
Suppose y - 5*h = 228, -6*y = -4*h + 2*h - 1256. What is the least common multiple of 280 and y?
7280
Let l = 280 + -138. Let v be (-15)/20 + 3 + l/8. What is the smallest common multiple of (-1)/((12/v)/(-3)) and 6?
30
Let j be 0 - (-28 - -2)/2. Let h = 2451 + -2340. Suppose 4*f = -3*z + h, -2*z + j = -4*f + 99. Calculate the least common multiple of 33 and f.
264
Let m = -1/538 - 3091/1345. Suppose -5 = -5*g, 2*w + 3*w + 4*g + 71091 = 0. Let d = w + 711049/50. Find the common denominator of m and d.
50
Let t = 4988 + -4983. What is the least common multiple of 481 and t?
2405
Let q = -2375/53 + 194041/4452. What is the common denominator of 169/504 and q?
504
Let c = 6 - 4. Calculate the smallest common multiple of (2/6*-1)/(315/(-7560)) and c.
8
Let v = 61659 - 8200701/133. What is the common denominator of -79/570 and v?
3990
Let v = 1/3670 - 152319/51380. Find the common denominator of v and -109/196.
196
Suppose q - 7 - 17 = 0. Suppose -8*m + 24 = -q. What is the smallest common multiple of 78 and m?
78
Suppose 4*k = -k + 250. What is the smallest common multiple of k and ((-15)/3)/(1/((-210)/35))?
150
Let c = 5011463/918 - 892/459. Let m = c + -5477. Let g = 70/53 - -1982/265. What is the common denominator of m and g?
30
Let g be (-298630)/6*16/(-110). Suppose -4*l + 28940 = 3*u, 0*u = -l - 3*u + 7226. Let p = l - g. Calculate the common denominator of p and 46/15.
165
Suppose 709*j + 1120 = 368*j + 355*j. Calculate the lowest common multiple of j and 162.
6480
Suppose 0*v = 2*v - 24. Let x(j) be the second derivative of 17*j**4/12 + j**3/2 - j**2 - 68*j - 1. What is the least common multiple of v and x(1)?
36
What is the common denominator of (-2)/(-5) - (-83)/(-20) and (344/(-1548)*18/56)/(14/3577)?
4
Suppose 0 + 15 = -5*c, -q + 21 = 3*c. Calculate the least common multiple of q and 270.
270
Let o = -84653 - -35046407/414. Calculate the common denominator of -65/552 and o.
1656
Let r = 180 - 22. What is the least common mul