t h(t) = t**3 + 11*t**2 + 19*t + 2. Let q be h(-9). Let y be (-7)/(q/4)*(-5)/(-10). Suppose -3*v - y = -35. What is the least common multiple of v and 20?
220
Let w = -4/65 + 259/1040. What is the common denominator of w and (1 - 1252/(-32))*13/(-429)?
176
Let r(v) = 24*v**2 + 5*v + 1. Let x = 407 - 408. Calculate the least common multiple of r(x) and 12.
60
Let s(k) = 108*k - 404. What is the smallest common multiple of s(5) and 5?
680
Suppose 4 = 2*x - 0. Suppose 28 = 4*n, -h + 8*n - n = 3*n - 6. Calculate the smallest common multiple of h and x.
34
Let b be 6/(-5) - (9246/(-30) - 3). Let o = 442 - b. What is the least common multiple of 36 and o?
396
Let j = -66098/37 - -379008559/212158. What is the common denominator of j and -20/423?
51606
Suppose 0 = -4*k - 2 - 14. Calculate the common denominator of (k - 510/(-99))/(4/(-4)) and -67/15.
165
Suppose -6 + 1 = -x. Let z(a) = 5*a - 11. What is the lowest common multiple of z(x) and (11 - 7)*((-16)/(-2) + -1)?
28
Suppose 110 = 5*y + 5*q, -y - 37*q = -40*q - 18. What is the least common multiple of 1236 and y?
8652
Let j = 1482 + -1442. Suppose 4*d - 72 = -5*d. What is the lowest common multiple of d and j?
40
Let u = 221784/2915341 + 20/5291. Calculate the common denominator of -34/171 and u.
4959
Find the common denominator of 123/350 and (-47061)/(-475200) + (-380)/(-55) + -7.
11200
Let d be (-926)/879 - (-8)/6. Let i = 22115/4688 - d. Let z = 7735/138 - 741/23. Calculate the common denominator of z and i.
48
Suppose -5*t = -0*t - 50. Let m(d) = 4*d - t*d**2 + 35*d**2 + 10 + d**3 - 12*d**2. Calculate the smallest common multiple of 5 and m(-12).
530
Let x(p) = -2*p + 6*p + 1 - 41. Let y(t) = -t + 5. What is the lowest common multiple of x(11) and y(-8)?
52
Let i be (-1)/2*0/(7 - 3). Suppose -5*n - n + 240 = i. What is the least common multiple of 36 and n?
360
Let x be ((-1)/468)/((-19)/5909). Let b = 1/468 + x. Let z = -16367/10494 - 30/583. What is the common denominator of b and z?
18
Suppose 0 = 7*b - z - 134, -2*b + 2*z - 6*z + 64 = 0. Calculate the least common multiple of 690 and b.
1380
Suppose 4*d = -258 - 586. Let g = -200 - d. What is the least common multiple of g and 4?
44
Suppose -1203 = 37*z + 1498. Let f = 136 + z. Calculate the lowest common multiple of 87 and f.
1827
Let z = -2/829477 + -472991/6862037. Find the common denominator of z and 127/1092.
12012
Let g(u) = 2*u + 85. Let h = 446 - 436. Calculate the least common multiple of g(-27) and h.
310
Suppose 12489 = 4*z - s, -3*s + 12495 = 3*z + 3132. Calculate the least common multiple of z and 2676.
18732
Let p = -4182 - -4250. What is the least common multiple of 4 and p?
68
Calculate the common denominator of ((-1)/(-4))/((-1131)/52*-1) and (2 - 3) + 98/10.
435
Let l be ((-5)/(-20))/((-84)/7556759). Let x = 22493 + l. What is the common denominator of -67/66 and x?
528
Suppose -8525 = -3*s - 7310. Calculate the least common multiple of s and 225.
2025
Let f be (-4)/2 - (1 + -2). Let r = 28 + f. Suppose 3*z - w - 85 = -0*w, -4*z = -2*w - 110. What is the least common multiple of r and z?
270
Let w = -21/10 + 343/30. Calculate the common denominator of (-37)/(-37)*30/(-14) and w.
21
Let a = -6/2767 + -118657/149418. Calculate the common denominator of a and 71/3564.
3564
Let r be (20/8 + -4)*-2. Suppose 41 = -r*t - 19. Find the common denominator of -39/20 and 2/8*(71 + t/(-5)).
20
Let z = -7660/19506340827 - 132113246341451399/52321467873445560. Let a = 2/67057 + z. Let v = a - 35/8. Find the common denominator of -53/9 and v.
90
Let v(m) = -2 + 88*m**2 + 91*m**2 - 176*m**2 + 0*m - m. Suppose -k = 3*r - 17 + 6, 5 = 3*k + 2*r. Calculate the lowest common multiple of v(k) and 10.
10
Calculate the common denominator of (71/(-64))/((-2)/(-56)*21) and -137/198.
1584
Find the common denominator of 145/63*(-165)/110 and -109/84.
84
Let p = -221 + 336. Suppose -102*t = -p*t + 1560. Calculate the lowest common multiple of t and 8.
120
Let b = -4329/43 - -4657445/46268. Find the common denominator of -79/14 and b.
7532
Suppose -u - 6 = -2*s, -2*u + 4*u - s = 0. Let a(h) = 30*h - 243. Let z be a(9). Suppose -21 = -8*b + z. Calculate the lowest common multiple of b and u.
6
Let f(i) = 2*i - 4. Let m be f(6). Suppose -2*w - m = 2. Let x(a) = a**2 + a. What is the lowest common multiple of x(w) and 8?
40
Find the common denominator of 15/4448 and 2/11 - (-422550)/(-53460).
40032
Let i(t) = -3*t**2 - 64*t + 34. Let v be i(-16). Let s = 543/2 - v. What is the common denominator of s and ((-4)/(-12))/((-10)/(-318))?
10
Let c = 158 + -4. Suppose -33*r + 26*r + c = 0. Calculate the lowest common multiple of r and 24.
264
Let w = 56 - 29. Suppose 0 = -24*j + w*j + 15. Let r(a) = 4*a + 24. Calculate the lowest common multiple of 11 and r(j).
44
What is the common denominator of 3/12*2*186/156 and (-15 + 1)*(-77)/(-252)?
468
What is the common denominator of -107/984 and (9345/(-9348) - -1)/((-11)/(-8470)*10)?
18696
Let v = -872 + 3665. What is the least common multiple of v and 588?
11172
Let o be 5079204/1260 - (-9)/(252/8). Let m = 2029653166 - 426228011729/210. Let g = o + m. Calculate the common denominator of -131/6 and g.
42
Let r(g) = -g**3 - 20*g**2 - 39*g - 9. Let w be -15 - ((-30)/(-3) + -7). What is the least common multiple of 99 and r(w)?
495
Let z be 5/(-2)*58*(-12)/60. Suppose -3*n + 210 = 3*j, 3*n - 112 = -2*j + z. What is the least common multiple of j and 30?
690
Let y(a) = 6*a - 13. Let t be y(3). Suppose l + 2 + 14 = -2*n, -5*n + 20 = -t*l. What is the least common multiple of (-1)/(-1) + 3 - l and 6?
12
Let q = -910801/49 - -18588. What is the common denominator of q and -9/2107?
2107
Let i = -30140339/200 - -150702. Calculate the common denominator of -37/40 and i.
200
Suppose -1045*i + 1081*i - 4896 = 0. Calculate the lowest common multiple of 4 and i.
136
Let i(b) = -69*b - 57. Let g be i(9). Let f = g + 2785/4. Calculate the common denominator of f and 11/36.
36
Suppose l - 21*j = -19*j + 15, -5*j + 21 = 4*l. Let v = -84 + 108. Calculate the least common multiple of v and l.
72
Calculate the common denominator of ((-39)/(-72))/(18/27) and 6/(-8) + 5 + 25/2.
16
What is the smallest common multiple of 2 and (-21)/(14/4*81/(-189))?
14
Let r(v) = -21*v**3 - 4*v**2 + 3. Let k be r(3). Find the common denominator of 115/12 and 190/k + -1 + 0.
60
Let b = 2309/322 - 2/483. Let r be (-3)/4 + 1 + (-199659)/20. Let y = 9973 + r. What is the common denominator of y and b?
30
Let y = 796 - 794. Suppose -3*m = y*m - 25, -2*f = m - 23. Calculate the lowest common multiple of 610 and f.
5490
Suppose u = -3*x + x - 59, 0 = u + x + 58. Let p = -55 - u. Suppose -p*t + 15 = -9. Calculate the smallest common multiple of t and 12.
12
Let j be 1/(-6) - (-10325)/(-447). Let m be ((-66)/8195)/((-18)/220). Let h = j + m. Find the common denominator of 71/6 and h.
6
Let y = -186 - -183. Let i = 6 - y. Calculate the least common multiple of i and 21.
63
Suppose 3*x + 4148 - 1466 = 3*i, 3606 = 4*i + x. What is the lowest common multiple of 900 and i?
900
Let b be -12346*(-2 - -542*2/288). Let l = 21775 + b. What is the common denominator of l and 133/108?
108
Suppose 7*v - 6 = 8*v - 2*g, -5*v + 5*g - 10 = 0. Suppose 0 = 5*h - 15, -v*p - 3*p = -2*h - 19. Calculate the smallest common multiple of 17 and p.
85
Suppose -4*n + 153 + 39 = 0. Let t be (12*n/54)/((-2)/9). What is the smallest common multiple of 6 and ((-450)/60)/(2/t)?
180
Let w be (-1692)/3 + -2 + (-1 - -2). Find the common denominator of (6/(-15))/((-40)/w) + 3 and 23/96.
480
Let u be 1/2 - ((-807890)/(-20) - -11). Let r = u + 2828423/70. Calculate the common denominator of 57/28 and r.
140
Suppose 18526 = -5*j + 2*c, 3*j + 6*c - 4*c + 11106 = 0. Let u = -10969063 + 241400853/22. Let k = u + j. Calculate the common denominator of -31/10 and k.
110
Let a(c) = 3*c + 94. Let i be a(-15). Calculate the common denominator of (i/(-70))/(-1 - 1) and -107/152.
760
Let s = 4147270170 - 298608268775/72. Let c = s - -66895. Calculate the common denominator of -127/18 and c.
72
Let l be ((-3)/6)/(6368/112). Let b be (3/(-3582))/(26/112509). Let t = l - b. What is the common denominator of 71/4 and t?
52
Calculate the common denominator of -11/72 and (1030/80 - 19)*(3 - 2).
72
What is the c