d = 5265 + -4917. Calculate the lowest common multiple of d and 812.
2436
Let s = 79484 - 397382/5. Let i = -6661 + 66729/10. Find the common denominator of i and s.
10
Suppose -8 = -2*s - 5*w, 16*s - 2*w = 13*s + 12. Suppose -4*z + 8 = 5*n - 8, -z - 4*n = 7. What is the smallest common multiple of z and s?
36
Let u(n) = n**2 + 23*n - 50. Let l be u(9). Let t = l - 208. What is the least common multiple of 117 and t?
1170
Let u be ((-492)/30)/((-4)/10). What is the smallest common multiple of 28 and u - 18/(-12)*2?
308
Let k = 601/7 + -5255/63. What is the common denominator of -37/454 and k?
4086
Let p be 4/22 + 80/44. Suppose 4*g = -5*b + 56, -3*g = -g - 4*b - p. What is the least common multiple of (-19)/(-3) - 96/72 and g?
45
Let l(f) = -f**3 - 30*f**2 + 37*f + 218. What is the smallest common multiple of l(-31) and 928?
928
Let t = -194 + 195. Calculate the common denominator of -1/36 and (-2)/t - (-1435)/330.
396
Calculate the common denominator of (((-752)/(-3))/(-8))/(168/(-9)) and -56/27.
756
Let l(s) = 18*s**2 + 19*s - 122. What is the smallest common multiple of 168 and l(-10)?
10416
Let a(i) = -5*i**2 - 14*i + 3. Calculate the smallest common multiple of a(0) and 10.
30
Let i = -20208 + 545641/27. What is the common denominator of -149/90 and i?
270
Suppose -295 + 47 = -4*y. Suppose -y = -4*m + 6. Suppose -3*a = -26 + m. Calculate the least common multiple of a and 3.
3
Suppose 69*p - 414311 = 10974 + 42949. Calculate the least common multiple of 16 and p.
54288
Let n = -969 - -17429/18. What is the common denominator of (4 - 25/(-5))/(14/63) and n?
18
Suppose -80 = 8*h - 13*h. Let n = h + -30. Calculate the least common multiple of 8 and (21 + 0)*(-4)/n.
24
Let q(w) = 18*w**3 - w**2 + 2*w - 1. Let b be q(1). Suppose 14*c + 94 = -b. What is the common denominator of 3/4 and ((-93)/c)/(2*120/32)?
20
Suppose -2*j + 674 = 2*v, -17*j - 1700 = -22*j - 2*v. What is the smallest common multiple of j and 5?
1710
Let p(n) = -n**3 + 6*n**2 + 4*n - 6. Suppose 2*a - 24 = -3*b, -3*a - 2*b = -80 + 49. Calculate the least common multiple of a and p(6).
18
Suppose 0 = -f + 3*r + 18, -47 = -3*f + 2*r - 0*r. Let d = -3084 + 3177. What is the least common multiple of f and d?
465
Let u = 6461 - 5744. What is the least common multiple of u and 9?
2151
Calculate the least common multiple of 2321 and (-4)/(-50) - 729535/(-7375).
20889
Let u(g) = -g**2 - 14*g + 5. Let n be u(-14). Suppose 4*r - 390 = -3*v, 4*v - 301 + n = -3*r. Calculate the smallest common multiple of r and 24.
96
Let w = -1314 + 1315. Suppose -5*h = 20, -2*i - 6*h + h = 30. Let n(z) = -z - 4. What is the least common multiple of n(i) and w?
1
Let n be 71 + -1*(0/(-1) - 1). Suppose -n = -7*u + u. Suppose -4*x = -3*k - 60, 3*k = -3*x + k + 62. What is the lowest common multiple of u and x?
36
Let d be (-7 + 22)*(2 - (-12)/(-9)). Find the common denominator of 7/87 and (-84)/72*d/(-9).
783
Let m = 177729 - 117307. Suppose -4*k = 23514 - m. Let j = -110795/12 + k. Find the common denominator of -109/18 and j.
36
Let b = 50 + -245. Let y = -191 - b. What is the least common multiple of 2 and y?
4
Let k(h) = -50*h + 1353. Calculate the least common multiple of k(18) and 1661.
4983
Let q(y) = -79*y + 52. Let s be q(-3). Let u = s - 270. What is the lowest common multiple of 5 and u?
95
Let d = 638249/180 + -3546. Find the common denominator of d and -113/200.
1800
Let o = 1309/16 + -6443/80. What is the common denominator of -63/824 and o?
4120
What is the common denominator of 60260/(-89424) - 3/(-4) and 59/45?
2430
Find the common denominator of 53/2 and -9 + ((-2548)/(-328) - (-21)/28).
164
Let r(w) = -w**3 + 8*w**2 - 6*w - 15. Let s be (-56)/24 + (-2)/(-6) - -11. Let j be r(s). Calculate the common denominator of (-331)/j + (-24)/(-180) and -16/7.
350
Let u(z) = 47*z**3 + z**2 - 62*z + 61. Calculate the smallest common multiple of 329 and u(1).
329
What is the common denominator of (763/3885)/((-69)/(-9) - 5) and -31/10?
1480
What is the common denominator of (399812/3144)/(1*329) and 25/5781?
11562
Suppose -80 = 2*i - 892. Suppose -7*w = d - 3*w + 2, w - 13 = -d. Calculate the lowest common multiple of i and d.
3654
Let g be ((-133)/21)/(2/(-6)). Suppose -6*h - g = -5*h. Let u = h + 37. Calculate the least common multiple of 22 and u.
198
Let h = 356593/46854 + 1/2603. Find the common denominator of (-6)/267 - 1635459/376470 and h.
90
What is the common denominator of 1390/(-180)*(-9 - 18300/(-2030)) and -35/22?
13398
Suppose x + q - 11 = 22, 49 = x - 3*q. Suppose 4*r - w - x = 0, -4*w + 2*w + 36 = 3*r. Calculate the smallest common multiple of r and 10.
10
What is the common denominator of ((-8)/468)/(-2*(11840/1704 - 7)) and 31/429?
429
Let c(i) = -i**2 + 24*i - 61. Let z be c(21). Suppose 6*g - 172 = -5*y + z*g, 4*y + 3*g - 137 = 0. What is the lowest common multiple of 20 and y?
160
Let l be 2 - (1 - (-1 + -918)). Let t = l + 1783/2. Let a = -1821167/2742656 + -1/21427. Find the common denominator of t and a.
128
Suppose 2*q = -b + 5*q + 93, -b = 2*q - 98. Let l = 99 - b. Suppose -15 + l = -2*d. What is the lowest common multiple of d and 10?
30
Let t = 74 + -104. Calculate the common denominator of 909/t*10/(-24) and 1233/(-480) - 22/55.
32
Let b = 85061/1876880 + -1/16180. Calculate the common denominator of 23/696 and b.
1392
Suppose 3*w + 16694 = 2*v, -v - 5568 = -w + 2*w. Let a = w - -55557/10. Find the common denominator of (-2)/(-3) - (-19505)/5922 - (-8)/(-36) and a.
210
Let f = 166418/33 - 3835109/264. Let s = f - -9482. Calculate the common denominator of (-1)/50*(-930)/4 and s.
120
Let t = 3890 + -3046. Calculate the least common multiple of 4642 and t.
9284
Let t = -870965568/3493 - -249346. Let r = 15529/20958 - t. Calculate the common denominator of -99/70 and r.
210
Suppose -3*t - 6 = -2*g, -t - 4 = g - 7. Suppose -2*a + 4 = t, -3*d + 0*d + 5*a + 116 = 0. Calculate the least common multiple of 0/(-13) + 1*11 and d.
462
Let p = 15686 + -8471. Calculate the common denominator of 28/33 and ((-2)/(-15))/((-156)/p).
66
Let y(c) = -2 + c + c - 59 - 5*c. Calculate the least common multiple of 22 and y(-22).
110
Let s = 612 - 468. Calculate the smallest common multiple of 99 and s.
1584
Suppose 0 = -5*h + z - 61 + 82, 5*z = -5. What is the least common multiple of (-2)/3*2*-6 and h?
8
Let g(c) be the second derivative of c**3/2 + 21*c**2 + 6*c - 5. What is the least common multiple of g(-12) and 3?
6
Suppose 4*q - 5*o + 16 = 0, -3*o = 4*q - 3 - 13. Let k(t) = 164*t**3 - 2*t - 166*t**3 - 9*t + 9 - 11*t**2 - 4. What is the least common multiple of k(-4) and q?
1
Let g be 1 + -7 + -18 + (-948688)/(-35136) + -3. Let w = -221679026231291/37332 + 5938043134. Let l = w + g. Find the common denominator of 1/14 and l.
238
Let u = 2326 - 83627/36. Let j = -1892/423 - 30/47. Calculate the common denominator of u and j.
36
Let b(z) = -40*z**3 + z**2 - z - 3. Let c be b(-1). Let f = 5813/10 - 3463/6. Find the common denominator of f and (0 - 10/15) + c/10.
30
Suppose 567*l - 1650513 = 69*l - 556905. What is the smallest common multiple of l and 6588?
6588
Let g be 3 + (-1 - (-2025)/(-12)). Let y = -472/3 - g. What is the common denominator of 3/4*202/(-24) and y?
48
Let s = -192655/650238 + 63/2929. Let l be (-25)/(-108) + 13/(-52). Let j = l + -22/27. What is the common denominator of j and s?
222
Let m = 12 - 0. Suppose -z + 3*r = 13, -r - 11 = -3*z - 2*r. Suppose -i + z*h - 36 = -5*i, -h - 42 = -4*i. What is the lowest common multiple of i and m?
60
Let c = -27 + 11. Let n be 18/(-16) - 2/c. What is the smallest common multiple of 24 - 0 - (-3)/n and 2?
42
Let z(w) be the first derivative of -w**4/4 - 14*w**3 - 59*w**2 - 33*w - 136. Suppose a = -0*a + 16. What is the smallest common multiple of a and z(-39)?
48
Let p(f) = -67*f - 1308. Calculate the least common multiple of 3584 and p(-20).
3584
Let m be (2 - 224/115)/(5200/739000). Let k be 1 + (0 - 225/(-69)). Let p = m - k. What is the common denominator of 53/8 and p?
104
Let k = -71 + 96. Suppose -4*x + q + 32 = 0, k = x + 2*x - q. What is the lowest common multiple of 14 and x?
14
Suppose -151*s - 136 = -155*s - 2*j, -s = -2*j - 14. Calculate the smallest common multiple of s and 486.
2430
Let q be (-56)/(-966)*(-6)/37. Let j