7?
14118
Suppose 2*q + 3*h = 118, 0 = -5*h + 228 - 218. Let n = 60 - 8. What is the lowest common multiple of n and q?
728
Let o = -109603 - -5699319/52. Let s(t) = -16*t - 6. Let y be s(6). Calculate the common denominator of (y/15)/((-4)/(-3)) and o.
260
Suppose 0 = 78*k - 4626685 + 1083613. What is the smallest common multiple of k and 8?
45424
Suppose 27063 - 6783 = -26*b. Let l = b + 785. Calculate the least common multiple of 45 and l.
45
Let o(b) = 23*b**2 - 125*b - 28. Calculate the least common multiple of o(6) and 50.
50
Suppose -4 = 2*a, 2*k + 5*a - 4*a = 1414. What is the lowest common multiple of 36 and k?
2124
Let j be (-24)/(-1) + 6 + -9. What is the common denominator of (j/(-30))/7*150/36 and -39/88?
264
Let r be (-15)/10*56/(-6). Let m be (r + -14)/(1 + 0 + 3). Calculate the lowest common multiple of -33*(m + (-5)/15) and 3.
33
What is the least common multiple of 20 and 7 - (-166 + -11 + 8)?
880
Let s(d) = -15 + 3*d - 18*d + d - 6*d. Let r be s(-4). Calculate the common denominator of 2 + 1 + r/(-8) and -3/134.
536
Let v(u) be the third derivative of -u**4/24 + 3*u**3/2 - 30*u**2. Let l be v(5). Suppose -l*c = -13 - 47. Calculate the least common multiple of c and 3.
15
Suppose -4*y + 50 = -6. What is the lowest common multiple of y*(-7 - (-64)/8) and 28?
28
Let c = -184517/1086135 + 108/3515. Find the common denominator of c and 43/1030.
3090
Let c = -341 - -272. Let k = 8 - c. What is the lowest common multiple of 42 and k?
462
What is the common denominator of 4/18 - 1348/720 and ((12 - 11)*(-3)/(-15))/(106/85)?
1060
Let a = -1000684/155 + 6456. Let k = -3652/2635 + a. What is the common denominator of k and (4/(-10))/(3 + (-1248)/455)?
153
Suppose -46 - 32 = 3*w + 5*a, -2*a = -w - 26. Let y = w - -44. Let c(x) = 200*x - 997. What is the least common multiple of y and c(5)?
18
What is the common denominator of -73/1650 and (-2165)/(-1650)*-1 + (2 - 1)?
1650
Suppose 7*v + 5*v = -4*v + 448. Calculate the lowest common multiple of 329 and v.
1316
Suppose -5*n = -3*k - 21722, -444*n - 13042 = -447*n + 4*k. Calculate the smallest common multiple of n and 52.
8684
Suppose u - y = 8, 0 = 3*u - 4*y - 9 - 16. Find the common denominator of (-5742)/(-504) + 6/u and 23/6.
12
Let f = 13 - 13. Suppose -2*o + 26 = -f*o. Suppose 0 = -2*v - o + 21. What is the lowest common multiple of 46 and v?
92
Let c be 30/(-26) - (72/39)/(-12). Find the common denominator of c + (10/12)/(28/77) and 71/8.
24
Let o = -1052/21 - -935/21. Suppose 0 = -5*k + 5*s - 45, 0 + 24 = -2*k - 4*s. Find the common denominator of o and 2/70 - k/25.
7
Let o(d) = 24*d + 22. Let i be o(5). Let j = i - 204. Let k = j + 74. Calculate the smallest common multiple of 10 and k.
60
Let l be (1 - 10338)/(14 + (-1107)/81). Let g be 1*((-4838286)/(-52))/(-3). Let h = g - l. Find the common denominator of 61/4 and h.
52
Suppose -9*s + 20*s + 102960 = 0. Calculate the common denominator of 13/s*-185*(1 + -3) and 27/8.
72
Let y(o) = -8*o**3 - o**2 - o + 4. Let j be y(2). Calculate the common denominator of (-11)/(-30)*161/j*-3 and 71/30.
60
Suppose 4*x + 255 = 3*r, -3*x - x - 417 = -5*r. Let l = -111 + 132. What is the smallest common multiple of l and r?
567
Let i = 2/4721 + -5735/2393547. Calculate the common denominator of 20/689 and i.
26871
Find the common denominator of -1*(-1676)/(-832) - 9/30*-5 and -21/52.
208
Suppose 243 + 0 - 23 = 11*g. What is the least common multiple of 1252 and g?
6260
Let g(w) = -4*w - 15. Let m be g(-7). Suppose -42 = -10*i + m*i. Find the common denominator of -5/3 and i/28 - 46/(-6).
6
Suppose -6*o + 5 = -19. Let z be (-1)/(-2)*(8 - 2). Suppose z*a + 2*a = q - 6, 10 = q - a. Calculate the smallest common multiple of q and o.
44
Calculate the smallest common multiple of (-6)/(108/(-306)) + 11 and 82.
1148
Let u(d) = 27*d**2 - 1030*d - 1976. Suppose 3*n - 420 = 3*f, 0*n - 544 = -4*n - 4*f. Calculate the lowest common multiple of n and u(40).
552
Let m = 56 + -54. Suppose 3*h = 5*a + 338, m*a + 5*h = -0*a - 160. Let u = -52 - a. What is the lowest common multiple of u and 20?
180
Let c = -1699/231 + 43/7. What is the common denominator of c and -47/6444?
70884
Suppose -113 = -16*p + 15. Find the common denominator of p/22 - 776/5280 and 67/108.
540
Let d = 3994 - 3998. Let x(j) = -j**3 + 2*j**2 - 2*j + 3. Let k be x(-3). What is the common denominator of 85/24 and d/(-12) + 134/k?
216
Suppose 3*v = 12, 970 - 158 = 3*w - 4*v. Calculate the least common multiple of w and 18.
828
Let j be (-8)/(-48) + (-1)/(-12)*3502. Suppose 7*v = j + 51. Calculate the least common multiple of v and 35.
245
Let a = -415 + 421. Suppose a*i - 48 - 96 = 0. Calculate the lowest common multiple of 54 and i.
216
Suppose -2345 = -30*s + 3055. Find the common denominator of (-4)/(-10) - (-9)/s and (-1 - -2)*27/225.
100
Let a = -14352707/135 - -106317. Calculate the common denominator of a and 1/27.
135
Let f = 71 + -47. Suppose -5568 - 17760 = -24*t. Suppose -981*y = -t*y - 108. What is the least common multiple of f and y?
24
Let z(d) = -20*d + 131. Let y be z(6). Suppose -7*r - y = -123. Calculate the lowest common multiple of r and 20.
80
Let q be (-8)/(-2) + -2 + -22. What is the common denominator of (18/q)/(8/(-16)) and -27/8?
40
Let n be (-144835286212)/(-45990516) + -1 - -3. Let t = -16/348413 + n. Let q = 3151 - t. What is the common denominator of q and -62/3?
33
Let i = -43144 - -1294451/30. Suppose -3*g - n + 486 = 0, 725 = 3*g + 4*n + 230. Find the common denominator of i and 23/g*(-212)/24.
210
Let x = -215 - -6451/30. Let z = 247 + -245. What is the common denominator of x and z/((-28)/6) - (-1550)/252?
90
Suppose 0 = -5*b + a - 535 + 4335, -b = -5*a - 760. Calculate the smallest common multiple of b and 76.
760
Let s(w) = w**2 - 3*w - 12. Let g = -2834 + 2844. What is the least common multiple of g and s(14)?
710
Let m(a) = -172*a - 500. Calculate the lowest common multiple of 436 and m(-3).
1744
Suppose 2*s = -4*p + 5*s + 55, -3*s - 5 = p. Suppose 0 = -3*i + 5*z + 971, p*i = 9*i - 2*z + 342. What is the smallest common multiple of 16 and i?
1328
What is the common denominator of ((-975)/2500)/13*(-710)/312 and 103/234?
9360
Suppose -10*t = -5*t + 45. What is the common denominator of (-2 - 21/t)*35 and (-3*(-4)/18)/(28/54)?
21
Suppose -3*z = 8*a - 18719 - 52153, -3*a + 26592 = 3*z. What is the least common multiple of a and 24?
8856
Let s(z) = 3*z**3 - 3*z**2 - z - 18. Let u be s(6). Suppose 6*g - u - 492 = 0. What is the least common multiple of 42 and g?
168
Let c = 259384 - 124504193/480. Calculate the common denominator of c and 11/160.
480
Suppose 89 - 29 = 5*v. Suppose -10*h = -v*h + 8. Suppose -z = -17 - 11. Calculate the smallest common multiple of z and h.
28
Suppose 4*o - 30 = 2*u, 2*o - 42*u - 57 = -47*u. Calculate the smallest common multiple of o and 2718.
29898
Let c be (-1 + 3)*3*(13 + -12). Calculate the smallest common multiple of 170 and c/(-9)*(-3 - -9)*-5.
340
Calculate the least common multiple of 81 and (-303)/(-1010) - 1614/(-20).
81
Let s(p) = -p**3 - 21*p**2 - 57*p - 44. Calculate the lowest common multiple of s(-18) and (-9)/6*44/(-6).
110
Let u = -46/319 + -9187/13717. Find the common denominator of (-12)/(-2 - (5 - -15)) and u.
473
Let m = -334889/182160 - -639/368. Calculate the common denominator of -169/90 and m.
990
Let u be (-8)/(-6) - 4/(-6). Let d = -27743/22208 + 16/347. Calculate the common denominator of (25/18)/(-5) - u and d.
576
Let k be (-264)/(-39985)*25/(-10). Let w = 87895/4362 - k. Find the common denominator of 32/9 and w.
18
Suppose -96 = -4*b - 0*b. Let n(v) = v**2 - 31. What is the least common multiple of b and n(-8)?
264
Calculate the common denominator of -69/21884 and (-6)/10*(-675)/80 - (-129)/(-172).
87536
Let d = -788923/756630 - -18/6005. Find the common denominator of -47/33 and d.
1386
Let o(t) = -343*t + 6329. What is the smallest common multiple of 1 and o(18)?
155
Let t = -1243 - -1433. Calculate the least common multiple of t and 209.
2090
Suppose q - 78 - 1 = 0. Let v(m) = -m**2 + 6*m - 1. Let y be v(2). Suppose -y*h - 16 = -q. What is the smallest common multiple of 6 and h?
18
Suppose 0 = -7*b + 59 + 338 + 9. Calculate the least common multiple of 11 and b.
638
Let w(f) = -33*f - 6195. 