8. Suppose -5*n - 5*y + 15 = 0, -3*n - 3*y = y - 12. Suppose n*b + 2 = b. What is the smallest common multiple of b and k?
4
Suppose -5*h = 0, 0 = -2*s - 4*h - 12 + 16. Let g(q) = 8*q**2 - 6*q + 1. What is the lowest common multiple of s and g(4)?
210
Let t be (9/1 - 1)/(24/60). Suppose 0*c - t = 4*c. Find the common denominator of -14/3 and 0 - (c + 65/(-6)).
6
Let p be (-3)/(-2) - (-234)/(-36). Let q be 2 - 11 - -1*1. Calculate the common denominator of 1/18 and 20/(-126)*-15 + (q - p).
126
Let x = -97 - -96. What is the common denominator of 25/53 and x*(5134/12)/17?
318
Let m(q) = -5*q**2 - 55*q + 5. Let y be m(-11). Find the common denominator of ((-21)/8)/(5/(-6 + y)) and -33/10.
40
Let q be 7 + -3 - (-3 - -15). Let f be 9278/252 + 4/q. Let p = f + -297/7. What is the common denominator of 59/5 and p?
45
Let v = -601/123 + -633713/1230. Let w = v - -519. Find the common denominator of 2/3*1659/140 - 3 and w.
10
Let x(k) = 0*k - k + 18 + 2 - 5. Suppose -3*i = 2*u - 66, -i - 2*u + 29 = 3. What is the least common multiple of i and x(7)?
40
Suppose -2*t - 175 = -5*q, 0 = -4*q + 7*t - 11*t + 112. What is the common denominator of -131/60 and (21/6)/(-2 - (-36)/q)?
60
Let a = -13825 - -14168. Calculate the least common multiple of 196 and a.
1372
Let i = -1078541/72 - -14980. What is the common denominator of i and 16/(-88) + -2 + (-980)/(-396)?
792
Let w = -14/2167 + -72191/565587. Find the common denominator of 55/8 and w.
2088
Let z = -171/14 - -215/7. Let c = -55 + 31. Calculate the common denominator of z and ((-6)/(-20))/(c/(-196)).
20
Let k = -8894249223626247/1016 + 8754184069336. Let b = k - 1762618. Let g = 17/381 - b. Calculate the common denominator of g and -29/16.
48
Let h(v) = v**3 - 4*v**2 - v + 8. Let u be h(4). Suppose -u*g + 333 - 25 = 0. What is the least common multiple of g and 7?
77
Suppose 502 + 2048 = 85*w. What is the lowest common multiple of w and 258?
1290
Let a = -45667159/3080 - -14827. Calculate the common denominator of 3/28 and a.
3080
Let r = -4/81 - -562/81. Let s = -12839 - -462253/36. Find the common denominator of r and s.
36
Let v = -49 - -27. Let z(g) = -g**2 - 23*g - 7. Let s be z(v). Suppose 3*i = -3 + s, 39 = 5*j - 4*i. Calculate the lowest common multiple of j and 8.
88
Suppose g = -3, 5*v - 2*g - 55 = 3*g. Suppose -3*a + v*a = -2190. What is the common denominator of 59/5 and ((-4)/(288/a))/(3/4)?
45
Let n = -710750/39 + 18226. Find the common denominator of 4 - 867/234 - -1 and n.
78
Find the common denominator of -4 - 126/(-48)*5/(-30)*-34 and -99/1978.
7912
Let f be -11*(1 - (-7775 + 6)). Let l = 24358862/285 + f. What is the common denominator of l and 119/6?
570
Suppose 339*d = 502*d - 285576. What is the smallest common multiple of d and 32?
7008
Let h = 247 + -583. Let a = h + 16461/49. Find the common denominator of 27/77 and a.
539
Let c be (0 + 0)/((-35)/7 - -8). Suppose 24*j - 32*j + 560 = c. Calculate the least common multiple of 49 and j.
490
Let n(o) = -o**3 + 40*o**2 + 277*o - 22. Calculate the least common multiple of n(46) and 3396.
6792
Suppose -3*d = 12*d - 1530. Let p = -101 + d. Calculate the least common multiple of p and (-50)/4*4/(-5).
10
What is the common denominator of 4/473 and (-873)/1032 + (-10)/(-80)?
473
Let p = 185 + -186. What is the common denominator of (-100)/(-6) - (-6 + 7 + p) and 11/10?
30
Let l = -6210 - -10844. What is the least common multiple of 10 and l?
23170
Let k be (-11031111)/438318 + 3/6. Let d = -2/8117 - k. Find the common denominator of d and -55/3.
3
Let k = -1642883/80 + 20535. What is the common denominator of k and 17/100?
400
Suppose 26*b + 21*b + 141 = 0. Calculate the smallest common multiple of 36 and -14*(b/30 - 426/140).
396
Suppose -3*w + 24 = -2*s, -20*s + 23*s = -4*w + 15. Suppose 0 = 3*u - 2*n - 85, 3*n - w*n = 4*u - 102. Calculate the least common multiple of 1 and u.
27
Suppose 11*g - 49 + 5 = 0. Suppose v + 143 = g*p, -2*p - 4*v - 82 = -4*p. Calculate the lowest common multiple of p and 10.
70
Suppose 137 = 17*m - 1782 - 835. Calculate the least common multiple of m and 5.
810
Let r(s) = -10215*s - 2 + 6 + 10214*s - s**2. Let z be r(0). Find the common denominator of -80/33 and (z - 490/36) + 3.
198
Let p be (5 - 2) + (-18)/3. Let v = 30 - 15. Let o = p + v. Calculate the smallest common multiple of 15 and o.
60
Let r = 111752 + -660275/6. Suppose -4*f - 6868 = -0*f. Let y = f + r. Find the common denominator of y and -1/22.
66
Suppose 17*p - 14*p - 24 = 0. Let w(a) = -5*a**2 - 4*a + 12. Let d be w(p). Let s = 2625/8 + d. Find the common denominator of 81/50 and s.
200
Let q be 4 - (1240/(-15))/((-11)/(-3)). Let f = q + -6269/220. Calculate the common denominator of f and -95/394.
3940
Let q(t) = 11*t - 260. What is the smallest common multiple of q(24) and 1444/18 + 16/(-72)?
80
Let l be (2/(-12) - 28/(-42))*38. Calculate the common denominator of (2401/35)/(0 - l) - -4 and -11/35.
665
Suppose 8 = -23*l + 27*l + 2*u, -2*u = 5*l - 12. What is the least common multiple of 543 and l?
2172
Let r(h) be the third derivative of -h**5/60 + h**4/6 - 3*h**3/2 - 3*h**2. Let i be r(4). Find the common denominator of 43/12 and (i + 11)/((-48)/250).
12
Find the common denominator of (36 - 29) + -2 + 17218/(-3420) and 4/15.
1710
Let l = 172105/28 - 6145. Find the common denominator of -19/8 and l.
56
What is the common denominator of 42/(-15) + (-2578797)/(-918540) and 101/36?
2268
Let v be (-134)/3 - ((-198)/(-27) + -7). What is the common denominator of 37/9 and (v/(-5))/18 + 53/(-33)?
198
Let f = 1209 + -32639/27. Let k(v) = -v**3 + 7*v**2 + 10*v - 6. Let o be k(6). What is the common denominator of (((-3)/2)/3)/(o/(-740)) and f?
27
Let j = -547 + 547. Suppose -5*l + 5*m - 8*m + 27 = j, 0 = l + m - 5. What is the smallest common multiple of l and 72?
72
Let u = -21630 + 24006. What is the lowest common multiple of 72 and u?
2376
Suppose 2*z + 14 = 3*s, -2*z - 230 = -4*s - 214. What is the lowest common multiple of s and 6658?
6658
Let c(v) = 61*v**3 - v**2 - 6*v - 5. Let f be c(-2). Find the common denominator of 73/21 and (-21)/147 + f/(-504).
504
Suppose -w = -a + 1, -3*a + 5 = -w - 4*a. Find the common denominator of 74/93 and (w + -90)/((-270)/20).
279
Find the common denominator of 23/14 and -2 - -14718*11/81488.
25928
Suppose 0 = 3*a - 245 - 499. Calculate the common denominator of 58/117 and (-2)/(-13)*a/(-16).
117
Suppose -8*r - 7*r = -165. Suppose 9*i - r*i + 42 = 0. Calculate the smallest common multiple of 24 and i.
168
What is the common denominator of 85/162 and (-3232)/192*(-3)/18?
324
Let p = 599 + 2625. Calculate the smallest common multiple of 22 and p.
35464
Let f = -123 + 73. Let v be ((-15140)/f)/(2/10). Let i = -13673/9 + v. Find the common denominator of -37/18 and i.
18
Let n = 351341/463683 + -2/14051. Let j = -2/135787 + -5566817/30552075. Let a = 6662/1575 + j. Find the common denominator of n and a.
231
Suppose 1879*p + 297 = 1884*p + 3*n, 5*p = 2*n + 302. Calculate the smallest common multiple of 70 and p.
420
Let q = 8801 - 2465. What is the smallest common multiple of 60 and q?
31680
Let v be 170/(-148)*((-84)/(-240))/(-7). Let s = v - -183/518. Find the common denominator of 2/(-6)*(-51)/(-20) and s.
280
Suppose -w + 3*w = 12. Let a = -3 + w. Let r(u) = u**3 - 19*u**2 + 18*u + 275. What is the smallest common multiple of r(17) and a?
3
Let a = 9587/6 + -1588. Let b = 768865/27 - 85436/3. Calculate the common denominator of a and b.
54
What is the common denominator of -4 + ((-13)/((-175422)/715))/((-4)/(-294)) and -83/18?
6228
Let a(g) = 75*g + 4. Suppose 99*t + 1000 = -35*t + 2340. Calculate the lowest common multiple of a(3) and t.
2290
Let t = 3/151 + 12829/302. Let v = -142579 - -31510016/221. Calculate the common denominator of v and t.
442
Suppose 0 = j - 0*j - 39. Let y(b) = 290*b - 1731. Calculate the lowest common multiple of j and y(6).
117
Let x = 147824 + -58094866/393. Calculate the common denominator of x and 61/1048.
3144
Let d(z) = -2*z**2 - 28*z - 2. Let p be d(-9). Suppose -96*y = -98*y + p. What is the lowest common multiple of y and 24?
264
Let w = -18775/8 - -2340. Suppose g = k - 2*g - 29, -3*k + 51 = 3*g. Calculate the common denominator of (-164)/(-16)*16/k and w.
40
Suppose 612 