is the common denominator of -53/529 and a?
1058
Let b = -53 - -77. Suppose 0 = -2*m - p + 193, 0*m = m + 5*p - 101. Suppose m = 9*u + 7*u. What is the lowest common multiple of b and u?
24
What is the common denominator of ((-94 - -89) + 27/65)/((-24)/(-10)) and 145/18?
234
Find the common denominator of (-3 + (-1680)/(-189))*3/(-528) and -29/46.
36432
Let w(x) = -59 - 53 + 16 + 4*x. What is the smallest common multiple of w(30) and 12?
24
Let i = -15819505/68628 + 13144/57. What is the common denominator of i and -43/8?
2408
Let o = 3208428 - 1674800729/522. Let s be (39/174)/(1/(-8)). Let j = s - o. What is the common denominator of -109/44 and j?
396
Let r = -64160/9 + 7121. Let l = -9/1924 + 32735/5772. What is the common denominator of l and r?
9
Calculate the common denominator of -143/516 and 189/(-330)*25/15.
5676
Suppose 7*u = 10*u + 12. Let x be u/(-3)*(-9 - -12). Calculate the lowest common multiple of 22 + (0/(-1) - x) and 2.
18
Let t = -840605/76 - -11060. What is the common denominator of 920/36*(-4)/16 and t?
684
Let c = -432031/553950 - 1/11079. Let j = 110923/134440 + -1/13444. Calculate the common denominator of c and j.
200
Let u(s) = -s**2 - 6*s - 4. Let a be u(-3). Suppose a*i - 752 = -592. What is the least common multiple of i and 1?
32
Let o be (5/3186)/((-7)/(-1456)*2). Let t = 14/59 - o. What is the common denominator of 49/108 and t?
108
Suppose 9*q + 81 = -0*q. Let g be -3*6/q + -5. What is the lowest common multiple of (-3 - g/(-1))*-1 and 24?
24
Let j = 31967/2 - 16027. What is the common denominator of j and 13/2992?
2992
Suppose 0 = -2*c - 3*q + 9 + 36, -10 = -c - 4*q. Let i(k) = k**3 + 9*k**2 + 10*k + 7. What is the smallest common multiple of i(-7) and c?
210
Let d(v) be the first derivative of v**3/3 + 5*v**2 + 2*v - 65. What is the lowest common multiple of d(-13) and 2?
82
Let i be (-1772)/(-3) - (-3 + 0 + 0). Let k = i + -588. Find the common denominator of 1/6 + 626/(-120) and k.
60
Let d = 23283570 - 26054312962/1119. Let a = 1/373 - d. Find the common denominator of a and 67/21.
21
Let d = -2047 + 2927. What is the lowest common multiple of d and 12?
2640
Let z = 779 + -728. What is the smallest common multiple of z and 51?
51
Suppose -h - 5 = -6*h. Let z be 3 - 1 - (-6)/2. Suppose -z*w = h - 151. Calculate the lowest common multiple of 3 and w.
30
Suppose -5*d - 46*p + 1032 = -48*p, -198 = -d - p. What is the lowest common multiple of d and 48?
816
Calculate the least common multiple of 540/81*(-4)/((-48)/9) and (-196)/(-6 - -5) + 1.
985
Let x = -1541071/74 + 20826. Calculate the common denominator of -48/185 and x.
370
Suppose 23 - 14 = 3*n. Find the common denominator of (-12773)/3498 - 2/n and ((-14)/18)/((-2)/(-39)).
66
Let r(x) = x**3 + 4*x**2 - 18*x + 4. Let j be r(4). What is the least common multiple of 15 and (-20)/6*(-432)/j?
120
Let t = 862315/316782 - -2/17599. Let b(o) = -o**3 - 17*o**2 - 10*o + 9. Let f be b(-18). Let m = f + -5626/11. Find the common denominator of t and m.
198
Let o = 124492 + -997357/8. Let d = o + 26883/152. Find the common denominator of d and -139/48.
912
Find the common denominator of (13475/168)/(-35) - ((-63)/6)/(-7) and -42/1871.
44904
Let b = 95 - -6. Suppose -b*p = -96*p - 250. What is the least common multiple of 145 and p?
1450
Let a = 1196/7 + -1213/7. What is the common denominator of a and 61/844?
5908
Let z = -1471 + 1495. Suppose -3*m = -0*m - 81. Let l = m + -12. Calculate the least common multiple of l and z.
120
Let f = -587007/26 - -22580. Let m(v) = 2*v + 43. Let a be m(-24). What is the common denominator of 332/(-6)*a/((-200)/3) and f?
260
Let x(i) = -34*i + 1364. What is the smallest common multiple of 153 and x(38)?
1224
Let r(m) = -m**2 - 7*m + 18. Let p be r(3). What is the common denominator of p/(-16) - (747/(-8))/(-9) and 2/3 - (-266)/12?
24
Let r(k) = 69*k - 1417. What is the least common multiple of 96 and r(21)?
96
Let c = -17192 - -18716. Calculate the smallest common multiple of 9 and c.
4572
Let p = 9149 - 7429. Calculate the least common multiple of 2 and p.
1720
What is the common denominator of 85/294 and 8 - 4495/720 - (-10)/45?
2352
Let b = 624 + -8619/14. Find the common denominator of -43/92 and b.
644
Let r = 379 + -373. Suppose r*h + 81 = 243. Calculate the lowest common multiple of -1 + -1 - -50*1 and h.
432
Suppose -3*f = 3*q - 240, 3*f = 2*f - 4*q + 68. Let k = f - 185. Calculate the common denominator of -61/9 and k/3*36/120.
90
Let m be 6*(-63)/(-14) - 1. Suppose 0 = 3*c - 5*c + i + 10, 3*i = 5*c - m. What is the least common multiple of c and 36?
36
Calculate the smallest common multiple of 473 and -2*((-2379)/244 + 5/(-4)).
946
Let b = -24041/2 - -12043. Calculate the common denominator of 61/2292 and b.
2292
Suppose 0 = 119*j - 108620 - 28230. Calculate the least common multiple of j and 276.
6900
Let k be (26/6318)/(460/(-687327)). Let q = k + -2/1863. Calculate the common denominator of q and 47/214.
2140
Suppose -1001 = 2*b + 5*b. Let r = -119 - b. What is the smallest common multiple of r and 24?
24
Let c(f) = -f**2 + 10*f - 14. Let u(a) = 3*a**2 - 19*a + 22. What is the smallest common multiple of u(12) and c(6)?
1130
Let z be (2/(-3))/(1/(-12)). Suppose z*v = -42 + 210. Suppose 0 = 4*c + v - 53. Calculate the least common multiple of 22 and c.
88
Let r(l) = 7*l**2 + l + 1. Suppose 173 = 6*g + 53. Suppose -g = 3*b - 4*k - 7, 2*k = -3*b + 11. Calculate the smallest common multiple of b and r(-1).
7
Let m = -117 + 141. Let h be (-132)/20 - (m/(-20))/(-3). Let d = h + 51. What is the least common multiple of 12 and d?
132
Suppose -3 = 3*k - m - 15, -5*k + 3*m + 16 = 0. Suppose -19*o = 3*a - 14*o - 1394, -a = k*o - 478. What is the least common multiple of a and 12?
2748
Let y = -1175151/12190 + 5087/53. What is the common denominator of y and -133/414?
2070
Let h(p) be the third derivative of 0 + 0*p + 7*p**2 + 1/3*p**3 + 1/12*p**4. What is the least common multiple of 15 and h(8)?
90
Let d be (-2)/14*(6522 - 0). Let j = -934 - d. Find the common denominator of j and -22 + (21 - 510/(-750)).
175
Let l be (-2 - -1)/((-13)/(-65)) + -51. What is the common denominator of -109/20 and (5 - 28)*2/l?
140
Suppose 6*p = x + 2*p - 7, x - 8 = 3*p. Suppose 240 = 30*o - 24*o. Suppose 0 = -x*r - 7 + o. Calculate the smallest common multiple of r and 15.
15
Let i = 6546/11 - 236327/396. Calculate the common denominator of -47/4 and i.
36
Suppose a + 531 = -120*a - 56*a. What is the common denominator of 31/201 and a?
201
Suppose -5*c = -0*p + 5*p - 50, 0 = -3*p + 15. Suppose -120 = -c*v - 0. Calculate the common denominator of ((-3)/v)/((-20)/(-415)) and 103/10.
160
Suppose -5*r + 5 = 3*t - 37, 11 = r - 2*t. What is the common denominator of 111/10 and 6/r - (5 + (-3495)/792)?
440
Let j = 170863/40 - 4272. Let h(v) = 2*v**3 + 8*v**2 + 8*v + 9. Let w be h(7). Let l = -13793/12 + w. Calculate the common denominator of j and l.
120
What is the least common multiple of 405 and -2 + (-2448)/(-80) + 8/(-5)?
405
Suppose -j + 163 = -4*w - 2, -j - 115 = 3*w. Find the common denominator of ((-39)/48)/(8/w) and -103/48.
48
Suppose 2*o + 62 + 216 = -2*g, -565 = 4*g - 5*o. What is the common denominator of (-2 - (-405)/g) + 9 and 51/40?
280
Suppose 0*d = -9*d - 55 + 280. What is the lowest common multiple of 150 and d?
150
Suppose 0 = -3*k + 336 - 327, -4*q + 2*k = -10182. Calculate the smallest common multiple of q and 48.
40752
Suppose 211 = 6*s + 229. What is the common denominator of 37/60 and (-6)/(-288)*-442 - s?
120
Suppose -363*h + 2616 = 3*t - 365*h, 5*t = -2*h + 4344. Calculate the smallest common multiple of 3480 and t.
3480
Find the common denominator of 1*((-34)/7 + 5)*(-770)/96 and 107/140.
1680
Suppose -23*f = -44*f + 5460. Suppose -f = -6*a + 4*a. What is the smallest common multiple of a and 91?
910
Let n(y) = y**2 - 20*y + 23. Let l(o) = -o. Let x(a) = -4*l(a) - n(a). Let r be x(10). What is the common denominator of 10/(-20)*(-12)/r and -5/18?
234
Let t = 52 - 49. What is the common denominator of -46/63 and (t/((198/4)/(-3)))/(-14)?
693
Let f = -4220 - -21069/5. Calculate the common denominator of f and 24/215.
215
Let u = 50 - 51. Suppose -v + 2 + 2 = 0. Calculate the lowest common multiple of v and (-11)/u - (-2 + 