101/325. Find the common denominator of x and 29/47.
235
What is the common denominator of (-260)/(-23216)*((-2)/(-6))/(435/(-261)) and -117/28?
40628
Let f(a) = -a**2 + 10*a - 21. Let s be f(6). Suppose 3 - 2 = -s*h - t, 5*t + 18 = -2*h. Let p(w) = 9*w - 5. Calculate the least common multiple of 22 and p(h).
44
Calculate the common denominator of -51/6880 and -18 + 8535288/481600 + (-1 - 9/(-7)).
34400
Find the common denominator of -65/27051 and (2/(-14))/(420/16800).
189357
What is the common denominator of -1/1134 and (99/(-1815))/(6/(-365))?
12474
Let m be 43 + -37 + (-57)/10. Let a = 204/5 - m. Calculate the common denominator of a and (-8)/(-11) - 3 - -4.
22
Suppose -4*d = -8, -4*d - 22 = -4*x - d. Let l = -450 - -839. Let n = -341 + l. Calculate the lowest common multiple of n and x.
336
Suppose -59*t - 13 = -60*t. What is the least common multiple of 11 and 1104/64 - t - 2/8?
44
Let m = 27203/3 + -652981/72. Let p = -54706145/11 - -4977948. Let q = 4659 - p. Calculate the common denominator of q and m.
792
Suppose -160 = -3*l - r - 0*r, 3*l = -3*r + 150. What is the smallest common multiple of ((-264)/(-99))/(4/6) and l?
220
Let x be -75*((-1265)/(-99) + 12/(-27)). Let y = 949 + x. Suppose -2*d - 3*r + 4 = -13, 4*r = -3*d + 24. What is the least common multiple of d and y?
24
Let y = -8685392/4107 + 152/1369. Let a = -2096 - y. Find the common denominator of ((-129)/48)/(21/28) and a.
12
Calculate the common denominator of ((-44)/12 - 1)*(-14)/(-60) and -14/45.
45
Suppose 17408 - 8187 = -31*x + 62076. What is the least common multiple of x and 99?
15345
Let c be 13842/30 + -3 + 2/(-5). Suppose -538 = -5*g - c. What is the smallest common multiple of g and 10?
80
Suppose -4*m + 28 = 8. Suppose 0 = -m*b + 5, -1 = a + 3*b - 6. Suppose 72 = -1657*d + 1665*d. Calculate the least common multiple of a and d.
18
Suppose y + 0 = -5*s + 2, 3*s - 15 = 4*y. Suppose -3*m + 5*i = 140 + 103, 0 = -5*i. What is the common denominator of (s/(-12))/(0 + (-2)/m) and -109/6?
24
Let i(u) = 30*u**2 - 7*u - 4. Let s be i(-5). Let r = -10867/14 + s. What is the common denominator of r and (13 + (-11800)/720)/((-2)/(-6))?
42
Let m = -8753 + 1584311/181. Find the common denominator of m and -15/4.
724
Let t = -329 + 331. Let b(u) = 8*u**3 - u**2 - u. Calculate the smallest common multiple of b(t) and 10.
290
Let i(q) = -q**3 - 6*q**2 + 2*q + 13. Let s be i(-6). Let o be ((-4 - -3)/(s/27))/(-1). Let l = o - 23. What is the least common multiple of l and 4?
4
Suppose 3 + 3 = 3*g. Let k(q) = -5 + g*q - 10 + 3*q - 2*q. What is the least common multiple of k(8) and 42?
126
Find the common denominator of (-2766)/4560 + (240/(-25))/(-16) and -151/48.
912
Suppose 0 = -4*u - 0*u - 32. What is the common denominator of -53/66 and 12/u - 4*(-1)/3?
66
Let d be (-398)/(-107271)*1857/2. Let g = 48476 - 192595150/3973. Let f = d + g. Calculate the common denominator of -1/10 and f.
90
Suppose -4*l = 12 + 88. Let v be (1/(-1))/(55/l - -2). Suppose -v*u = -9*u + 88. What is the common denominator of u and -3/2?
2
Let m be (-3)/12 + (-2)/(-8). Suppose m*z + 32 = -2*z. Find the common denominator of 103/10 and 10/z*(15 - 0).
40
Let v = -23 - -25. Suppose 245*p + 44 = 4*f + 241*p, -2*p = -10. Calculate the least common multiple of v and f.
16
Let s = 4348 + -56566/13. Let f = 9664/9 + -19583/18. Calculate the common denominator of s and f.
78
Let z(i) = i**3 - 5*i**2 - 34*i + 183. What is the least common multiple of z(6) and 93?
465
Let t = 10 + -7. Suppose t*a = f - 5247, 3*f + 0*f = -5*a - 8731. Let b = a - -6937/4. What is the common denominator of b and -27/7?
28
Suppose 3*z - 7791 = 3*g, -5*z + 1487 = -g - 11526. What is the lowest common multiple of z and 154?
28644
Suppose 0 = 5*r - y + 642, -r = -4*r + 5*y - 394. Let g = -106 - r. What is the least common multiple of g and 10?
110
Suppose -f + 18 = 3*l, 4*f + 17 = 5*l - 13. Find the common denominator of (285/25 - 7) + 3/l and 9/5.
10
Suppose -109 - 371 = 16*g. Let r = -17359/1380 + 172/115. What is the common denominator of r and g/(-75) - (-67)/10?
60
Let j = 5246 - 20485/4. Let s = j + -355/3. Find the common denominator of (-2)/(-4) + 1457/93 and s.
12
Suppose -7*s + 1836 + 54 = 0. Calculate the common denominator of -23/11 and 3/(-4)*(-3900)/s.
66
Find the common denominator of (2/60)/(16/588) and 83/252.
2520
Let f = -258 - -222. Suppose 0 = -4*q + q - 5*w + 122, -3*q + 3*w + 138 = 0. Let m = q + f. Calculate the lowest common multiple of 8 and m.
8
Let r(p) = -2*p**3 - 3*p**2 + 2*p - 2. Let k be r(-3). Let j = k + -9. What is the smallest common multiple of j and 10?
10
Let l = -191 - -231. Find the common denominator of 91/12 and l/36*(-50)/(-60).
108
Let z = -1695/22 + 22853/297. Find the common denominator of z and -125/198.
594
Let q = 1798456225/2304 - 780580. What is the common denominator of q and -17/768?
2304
Let f = -158 + 161. Suppose 0 = 5*s - 2*l - 58, 78 = 3*s + f*l + 60. Calculate the least common multiple of s and 114.
570
What is the lowest common multiple of 80 and 8890/10 + -8 - 1/1?
880
Let h be (188 - 8/4) + -4. Let s = h + -162. What is the lowest common multiple of s and 3?
60
Suppose 0 = -5*t + 5*v - 160, -5*t - 166 + 6 = -3*v. Let y be 8/t - (-10)/(-8)*-13. Let l = y + -8. What is the smallest common multiple of l and 9?
72
Let x = -2358193/23045820 + -3/54871. Find the common denominator of x and 7/30.
420
Let g(v) = 12*v**2 + 222*v - 6146. Calculate the lowest common multiple of g(60) and 12.
302244
Suppose -h + 10 = 2*o, 0*h - 5*h - 28 = -3*o. What is the least common multiple of 225 and o?
450
Let j(x) = -x**3 - 4*x**2 - 1. Suppose 5*t - 4 = -24. Let q be j(t). Calculate the common denominator of -103/22 and 0 + (-37)/(-16) + q.
176
Let f = 932155/15264 + -3228/53. Calculate the common denominator of f and 23/192.
576
Let m(i) = -72*i - 1011. Let b be m(-14). Let j be (2/(-4) + 1)*22. Let w = j - b. What is the smallest common multiple of 1 and w?
14
Let d be (33 + -32)/(2/(-76)*-2). Let f = d + -16. Suppose 1 = -k + 7. Calculate the lowest common multiple of k and f.
6
Calculate the lowest common multiple of 910/25*3/(2*24/160) and 259.
13468
Let s(o) = 58*o**3 + 6*o**2 - 4*o + 3. Let d be s(11). Suppose -d = -2*v + 17693. Let y = 2293675/48 - v. Calculate the common denominator of 107/12 and y.
48
Let g(o) = -o + 1. Let j be g(-14). What is the lowest common multiple of (-1)/(j/180 - (-2)/(-6)) and 3?
12
Let p = -19923/964 - 20/241. Suppose 0 = -3*k + 8*k. Calculate the common denominator of p and (-81)/(-4) + (k - 2).
4
Let n = 14519/3580 - 1/179. Let w = 324 + -360. Find the common denominator of n and (-2 - -1) + -1*135/w.
20
What is the common denominator of (14/(-2) - -2)*42/(-18) and 65/18*(-24)/(-15)?
9
Suppose -2*c = -5*c. Suppose c = -14*w + 9*w + 10. Suppose -3*k - 17 = -w*l, 8*l - 8 = 3*l - 4*k. Calculate the smallest common multiple of 9 and l.
36
What is the least common multiple of 50 and (-31)/(341/(-16720)) + 0?
7600
Let n = -283 + 317. Calculate the common denominator of 50/3 - (n/(-4))/(-17) and -97/30.
30
Let w = -27940/3 + 92071/12. Suppose -n - 2*n = -4878. Let y = w + n. Calculate the common denominator of y and 55/6.
12
Let s = -686809/44 + 15608. Find the common denominator of s and -41/152.
1672
Suppose 4*c + 28*b = 24*b + 2480, -5*b - 1282 = -2*c. What is the least common multiple of c and 1?
626
Suppose z - 6*q - 38 = -q, 5*q = -3*z + 154. Let h = 265 + 291. Calculate the common denominator of -4 + 3 + h/z and -81/16.
48
Let r(q) = -2*q**2 - 3*q + 5. Let k be r(-5). Let l = -1188 + 17827/15. What is the common denominator of 2/3*(-57)/k and l?
15
Let z = -302/37 - -5065/888. Let w = -346 - -3128/9. Calculate the common denominator of z and w.
72
Let n(u) be the first derivative of -u**4/4 - 5*u**3/3 - 17*u**2/2 - 28*u - 80. Calculate the lowest common multiple of n(-4) and 4.
24
Suppose -5*i + 43 = -32. Let j be 132/i*225/(-6). Calculate the common denominator of -7/6 and (j/27)/(1*-6 + 0).
54
Suppose 57*n + 123*n = 318600. Calculate the lowest common multiple of n and 708.
3540
Suppose 18*s - 15 = 17*s. Calculate the least common multiple of ((-36)/8)/((-4)/40) and s.
45
Let m = 1084621/3185 + -4424/13. Calculate the common denominator of -31/1078 and 