0
Let a = -4 - -11. Let q(n) = 7*n**2 + 2*n - 66. Let m(r) = -10*r**2 - 3*r + 97. Let l(t) = -5*m(t) - 7*q(t). What is the lowest common multiple of l(a) and 27?
297
Let r be (-4 - 3292)*(-50)/(-1512). Let c = -771/7 - r. Calculate the common denominator of c and -77/18.
54
What is the common denominator of 99/868 and 2/((-1512)/762) - 2/(-5)*5?
7812
Let t = -24332/11601 + -2798666471/92808. Let f = t - -30163. What is the common denominator of -125/66 and f?
264
Let g be -4 + 596*(-12)/(-1888). Let i = g + 1885/11682. What is the common denominator of i and 73/72?
792
Suppose 278*t + 18 = 281*t. Suppose -2*i + 8 = 0, 9*r - 93 = t*r - 3*i. What is the lowest common multiple of r and 27?
27
Let d(h) = 4*h + 35. Let t be d(-8). Let f be t/21 + 100/(-14). Find the common denominator of 69/14 and (((-98)/(-30))/f)/(6/(-51)).
210
Let n = -12 - -15. Suppose -5*w = 3*x + 3265, n*x - 2*x + 651 = -w. Let t = 1383/2 + w. Calculate the common denominator of -6 and t.
2
Let w(d) = -2*d**3 + 5*d**2 - 5*d + 16. Let z be w(3). Calculate the common denominator of 5/(-60)*-339 + z and 59/14.
28
Let i = 9585827/18 + -532352. Let z = i - 194. Let d = 2/13753 + -893969/165036. What is the common denominator of d and z?
36
Let x(q) = 3*q - 5. Let p be x(4). Let g(a) = 2 + 6 + a + 3 - p. Calculate the lowest common multiple of 8 and g(0).
8
Let q = 243627 + -422239. Let s be ((-81442)/q)/((-8)/(-104)). Let a = s + 6/6379. Find the common denominator of a and 79/4.
28
Let w(v) be the second derivative of -v**3/6 + 7*v. Let a be 21/6 - 2 - (-14)/(-4). What is the lowest common multiple of w(a) and 9?
18
Let u = 118075 - 2242201/19. Let y = u - 21720/323. Let f = -11951/10945 + 1/995. Find the common denominator of f and y.
187
Find the common denominator of (-266)/(-532) + 372/(-826) and -49/4.
1652
Calculate the smallest common multiple of 654 and (3/(-6)*3)/(4*(-21)/6104).
654
Find the common denominator of (81/12)/(-9)*(-4489)/(-118188) and 11/392.
2352
What is the common denominator of -95/56 and -31 + 39 - (-2741)/(-336)?
336
Let a(b) = 2*b**2 + b - 1. Let l(k) = -3*k**2 + 40*k - 37. Let t be l(17). Let q = -214 - t. What is the smallest common multiple of a(3) and q?
20
Suppose 5*s + 16413 = 3793. Let j = -20217/8 - s. Calculate the common denominator of -56/99 and j.
792
Let y = -34226349/4671404 + 3269/446. Find the common denominator of y and -5/14.
146636
Suppose 588 - 63 = 3*m - 3*c, 12 = -4*c. What is the common denominator of -103/12 and (-2*(-3)/(-6))/(64/m)?
48
Let t = -4 + 22. Suppose -7*c - 390 = -22*c. What is the least common multiple of t and c?
234
Let u = 229 + -175. Suppose -56*a + 6 = -u*a. What is the lowest common multiple of a and 42?
42
Suppose 5*m + d - 86 = -d, 5*d = -10. Let u be -970*m/28 + (-1)/1. Let i = -78269/126 - u. Calculate the common denominator of i and -101/24.
72
Let m = 261 - 9. Suppose 10*g - m = 188. Calculate the lowest common multiple of 55 and g.
220
Suppose 123 = 7*d + 53. Let y(h) = h**3 - 6*h**2 + 3*h - 6. Let z be y(6). Suppose 4*s = z - 0. What is the smallest common multiple of s and d?
30
Let i = 1296 + -28547/22. Calculate the common denominator of i and (78/(-135))/13*-3 + 749/(-30).
66
Let o(u) = -2*u**2 - 52*u + 464. Let c(b) = b**2 + 27*b - 230. Let d(j) = -7*c(j) - 3*o(j). What is the smallest common multiple of d(-37) and 77?
770
Suppose 2*s - 128 = -3*y + 237, -5*y - s = -613. Let t = -114 + y. What is the least common multiple of 86 and t?
774
Let o(v) = v**3 - 14*v**2 + 11*v + 10. Let l be o(9). Let p = -1139/4 - l. Let g = -525 + 999/2. Calculate the common denominator of p and g.
4
Let v(w) = 3*w + 30. Let l be v(10). Suppose d + 4*p = l, 2*d + 0*d + 4*p = 108. What is the lowest common multiple of 12 and d?
48
Let d = 18852257543 + -317019562946945/16816. Let v = 21255292/11561 - 20224/11. Let q = v + d. Calculate the common denominator of 13/2 and q.
16
Let k(v) = -3*v**2 - 312*v + 459. What is the smallest common multiple of 342 and k(-101)?
1368
Let z(p) = -p**3 - 16*p**2 - 35*p + 17. Let n be z(-13). Let k = -1735/448 - -27/7. Calculate the common denominator of (-243)/52 - n/(-455) and k.
64
Let f = 2/240123 + -32371/1680861. Let n = f - 17/47. Calculate the common denominator of 71/6 and n.
42
Suppose -2 = 2*f, 4*d = 2*f - 0*f + 18. Let r(g) = -g - 1. Let a(l) = 6*l + 8. Let s(i) = -a(i) - 4*r(i). What is the smallest common multiple of d and s(-3)?
4
Let h = 1893/5 - 83377/220. Calculate the common denominator of h and 1538/352 - (-2)/(-11).
176
Let f(i) = 19*i - 5. Let k = 5508 + -5424. Calculate the lowest common multiple of f(1) and k.
84
Suppose 9 = 2*l + o, -5*l - 8*o = -9*o - 19. Let u(y) = 8*y**3 - 7*y**2 + 7*y - 8. What is the lowest common multiple of u(3) and l?
332
Find the common denominator of -37/21 and 151/3*39/1638*-3.
42
Calculate the common denominator of ((-8151)/2674155)/((-4)/(-14) + 174/(-315)) and -1/6.
10236
Let x = -29930411/198 + 151163. What is the common denominator of 9/220 and x?
1980
Suppose 3332*u - 1848 = 3325*u. Calculate the smallest common multiple of 32 and u.
1056
Let n be (64/(-20) - -5)/(3/45). Let y(m) = m**3 - 27*m**2 - m + 47. Calculate the lowest common multiple of y(n) and 22.
220
Let d = -256 - -298. Let o = d + -40. What is the least common multiple of 10 and o?
10
Let q = -219879/5848 - -1643/43. Find the common denominator of q and 51/10.
680
Let c be (-25004)/33341 + (-9)/(-12). Let s = -59759/95260 + c. Calculate the common denominator of 91/2 and s.
110
Find the common denominator of (-15)/24*1648/200 and ((-126)/(-18))/((-60)/38).
60
Let x be (-9)/18*(-4 - 2). Suppose 0 = x*n + 5*k - 90, 0 = 3*n + k - 4*k - 90. Calculate the least common multiple of n and 10.
30
Let f be 71 - (0 + 1) - -2. Let t(k) = -k**2 + 39*k + 282. Let m be t(44). Let z = f - m. Calculate the lowest common multiple of z and 8.
40
Let o(r) = -7*r + 4*r**2 + 2*r**3 + 6*r**2 + 54 - 127 + 65. Suppose 5*v - 2*k - 79 = 0, -9 = -v - 0*v - 3*k. What is the lowest common multiple of o(-5) and v?
135
Let u = 47780497/9735 + -53965/11. Let w = 216/59 + u. Find the common denominator of -80/63 and w.
315
Suppose 0 = -2*x + 6*x. Find the common denominator of (-8)/44 + (-1230)/5940 and 1 + x + (-194)/(-60).
90
Let c = 43770 - 1838429/42. Calculate the common denominator of c and (-348)/5544 + (-17)/(561/(-6)).
42
Let o = 43 + -22. Calculate the common denominator of (261/(-42))/((-50)/70 - (0 + -1)) and (59/o)/((-12)/(-9)).
28
Let s = 891/2536 - -15/634. What is the common denominator of s and 99/8?
8
Let g = -8 - -13. Calculate the least common multiple of (-1 + 12/3)*1 and 378/105 - (-2)/g.
12
Let a be (-4)/(-30)*5*-3. Calculate the common denominator of (a/(-12))/(231/(-84)) and 50/21.
231
Suppose 30 = 21*z - 20*z. What is the least common multiple of z and ((-15)/10)/(21/(-140))?
30
Suppose i + 5*i = -72. Let o be 1197/14 + 3/i*-2. Calculate the common denominator of (287/70 - 4)*o/(-10) and 121/10.
50
Let b = 1095763/44 + -24906. Find the common denominator of (3 - -1)/((-4576)/(-429)) - (-327)/(-504) and b.
924
What is the common denominator of 47/615 and 27*47/(-624348)*(755/6)/5?
14760
Let i = 123771 - 30695143/248. Find the common denominator of i and (-12)/26 - 194445/(-41470).
2728
Let g be (-1)/(-2)*(-8)/40*0. Suppose g*m - 3*m = -6. Calculate the common denominator of 83/12 and 2/21 - 1 - (m - 2).
84
Let n(o) be the third derivative of 7*o**5/60 + 7*o**4/24 + o**3/3 + 17*o**2. Calculate the smallest common multiple of n(-2) and 42.
336
Suppose -u - 2*n + 11 = 0, -4*u - 3*n - 16 = -7*n. Calculate the common denominator of u/27*(-189)/18 and -81/4.
36
Suppose 2*k - 233 = -3*q, -5*q = 2*k - 130 - 261. Suppose -113 = -32*z + q. Let i = -5 + 12. What is the smallest common multiple of i and z?
42
What is the least common multiple of 100/26 + -4 - 20/390*-71256 and 522?
3654
Suppose -4*j + d + 69 = 0, 0 = j + 3*d - 9 - 5. Find the common denominator of -149/138 and (-534)/(-4)*(1 + j/(-18)).
276
Let s be (-1 - (-72930866)/(-20))/((-4677)/108). Let n = 84205 - s. Let h = -576803/210465 - n. Find the common denominator of -8/21 and h.
189
Let n be 1 - 476/(-5) - 6/30. Calculate the common denominator of 2 - (2300/n)/5 and 2550/(-240)*(-9)/30.
48
Let q(w) = -w**3 - 4*w**2