Let d = n - -409. Let f = -32 - -98. What is the lowest common multiple of d and f?
462
Suppose -14*u = -2*m - 12*u + 2, -3*m = 5*u - 43. Calculate the least common multiple of m and 128.
384
Let q = -4395 - -4413. What is the least common multiple of q and 648?
648
Let a be 5/(-30) - (498758/272052 - 2). Let w = a + -2969999/6665274. Calculate the common denominator of w and -59/18.
882
Let w be 372/(-5)*(-110)/(-4). Let j = w - -16345/8. Find the common denominator of j and -43/5.
40
Let j = -130/737 + -51037/132660. Calculate the common denominator of j and -169/720.
720
Let d = -32/461 + 36137/9220. Find the common denominator of 53/562 and d.
5620
Let p(x) = 398*x**2 - 224*x - 3. What is the least common multiple of p(1) and 36?
684
Let c = -578659/821260 - -1/18665. Calculate the common denominator of c and -131/144.
1584
Let o(n) = 3*n**3 - 5*n**2 + 18*n + 4. Let h be o(3). Find the common denominator of 24/h*(84/(-8))/7 and 63/5.
235
Suppose -5*t - 3*r = 30, 4*t = 2*t - 2*r - 12. Let z be 972/(-2)*(-44)/t. Let c = -35699/10 - z. Find the common denominator of c and -36/11.
110
Let z = -2453422/65 + 37744. Calculate the common denominator of -25/377 and z.
1885
Suppose -41 = 2*v - 5*g + 28, -4*v - 2*g = 102. Let l be (-4)/(-4) - 4/2. What is the common denominator of v and ((-38)/(-7) - 1) + l?
7
Let n = -12 + -22. Let o = n + 13. Let i = -19 - o. What is the lowest common multiple of i and 26?
26
What is the smallest common multiple of 36 and (-372)/(-31)*(-1)/(-14)*378?
324
Let n = 90 - 92. What is the common denominator of (-1*n/(-15))/(240/7900) and 9/10?
90
Let b = 314 - 186. Suppose 20*w = -12*w + b. Calculate the lowest common multiple of w and 55.
220
Let s be -9 - (1 + 0/2). What is the lowest common multiple of s/((-3)/(72/20)) and 36?
36
Suppose -20*a + 2*a = 21*a - 90480. Calculate the lowest common multiple of a and 1160.
2320
What is the common denominator of (-6)/((-288)/(-105))*-1 and 78/80 + 11/44*(-16)/1?
80
Suppose -10*x - 4*i = -5*x - 388, -3*x + 3*i = -276. Calculate the smallest common multiple of 1484 and x.
4452
Let x(m) = m**3 - 14*m**2 + 18*m - 48. Let w be x(13). Suppose -j = w*j - 162. What is the lowest common multiple of 72 and j?
72
Let h be -2 + -2 - 3 - 353. Let c = h - -376. Calculate the least common multiple of 12 and c.
48
What is the smallest common multiple of 7 and 71 + ((-63)/(-42))/((-6)/8)?
483
Suppose 33 = -29*u + 613. Let x(g) = 4*g**2 + 2*g + 2. Let i be x(-1). Calculate the lowest common multiple of u and (i/(-10))/(1/(-120)).
240
Let o(h) = -h**3 - 20*h**2 - 16*h + 71. Let z be o(-19). Calculate the least common multiple of 6 and (1/(-3))/(z/168) - -142.
138
Suppose v - 3*v + 45 = 5*q, 4*v = -2*q + 34. Suppose -96 = 3*z - q*z. Calculate the least common multiple of z and 54.
216
Suppose -4*k + 360 = 300. Suppose -k*p = -16*p + 15. What is the lowest common multiple of 12 and p?
60
Let y be ((-28)/10)/((8 - 2)/180). What is the common denominator of -71/2 and (1590/196)/(-3) + y/(-28)?
98
Let b(g) = -2*g**2 + 5*g - 3. Let i be b(6). What is the common denominator of 3/(i/53) - (10 + -11) and -8/39?
195
Let c = 19 + -17. Suppose 0 = 2*u + c*i + 348, 0 = -5*u + 6*u - 2*i + 174. Find the common denominator of 10/7 and ((-5)/(15/(-2)))/(14/u).
7
Suppose 0 = p - 4*s - 532, -4*p - 3*s = -9*p + 2643. What is the lowest common multiple of p and 15?
2640
Let x = 12 - 28. Suppose 13 + 19 - 4 = 14*o. Calculate the smallest common multiple of o and (-1)/(-4) + (-156)/x.
10
Suppose 4*v - 290 = -a, 5*v - 595 - 317 = -3*a. Suppose 0*b - 4*b - 3*j + 15 = 0, 2*j = 2*b - 18. What is the smallest common multiple of a and b?
942
Suppose -18*p - 3267 = -p - 3947. Calculate the smallest common multiple of (1 + 25/(-15))*-21 and p.
280
Let w(l) = 134*l + 2150. What is the lowest common multiple of 32 and w(-16)?
96
Find the common denominator of (-40)/(-50)*15/(-54) + (-1234)/36 and 119/2946.
2946
Let r = -1/83975 - 7809661/1175650. Calculate the common denominator of r and (1/(-35))/((-2)/(-26)).
70
What is the common denominator of 7 + (-800)/112 + (-27)/(-336) and (-603)/96*2/(-3)?
16
Let p be -3 + (-210)/(-2) + -4. Suppose -302 = -10*z + p. Suppose 0 = m - 7 - 1. What is the least common multiple of m and z?
40
Let u = 29 - 9. Suppose -27 = 8*m + 53. Let l(o) = -o**3 - 12*o**2 - 23*o - 2. Calculate the smallest common multiple of l(m) and u.
140
Suppose 449*r - 1008 = 413*r. Calculate the lowest common multiple of 34 and r.
476
Let b(i) = -i**2 - 6*i - 4. Let t be 1 + -2 + -2 + 0. Let p(v) = -v**3 + 2*v**2 + 6*v + 3. What is the smallest common multiple of b(t) and p(-2)?
35
Find the common denominator of (-642)/72*(-2)/3 and (210/324 - 10/(-12)) + 0.
54
Suppose 4*l - 46 + 1166 = 3*k, -k = l - 392. Calculate the least common multiple of k and 240.
1920
Suppose -18*v - 216128 = -50*v. Let o = v - 54133/8. Find the common denominator of o and 83/18.
72
Let i = -48/1147 - -96785/37851. Calculate the common denominator of -131/110 and i.
330
Let v = -394 + 394. Suppose 2*t + 161*x - 18 = 164*x, v = 5*t - 5*x - 50. Let l(g) = -g**3 + 5*g**2 + 7*g + 6. What is the least common multiple of t and l(6)?
12
Suppose -13588 = 3*i - 5*w, -3*w - 1862 + 19961 = -4*i. Find the common denominator of (1/27)/(22/i) and -7/30.
90
Suppose 2*p = g - 101, -279 = -3*g + p + 19. Let v = g - 92. What is the smallest common multiple of 22 and v?
154
Let h = 2/1067 - 33157/42680. What is the common denominator of h and (19/18)/(1344/864)?
280
Suppose -f - 8 = -5*f. What is the lowest common multiple of ((9 - 26) + 8 - -11) + 51 and f?
106
Let i(x) = -2*x - 969. Let n be i(0). Let j = 3202 + n. Let p = j + -26821/12. What is the common denominator of 77/34 and p?
204
Let c = 209 - 206. Find the common denominator of -1 + 2 - 33/14 and c/(248/(-28) + 6).
140
Let k be 191/4 + 0 - 5/(-20). Let b = -4739/5 - -227227/240. What is the common denominator of b and 65/k - ((-3)/(-9))/(-1)?
48
Let s = 286152521/828 - 345595. Calculate the common denominator of -83/12 and s.
828
Let a(z) = 6*z + 1. Suppose -34*u + 30 = -24*u. What is the smallest common multiple of a(2) and u?
39
Let o(y) = -y**2 + 29*y - 171. Let n be o(9). Calculate the common denominator of -56/153 and (300/1530)/((-4)/n).
306
Let m be (2 + -16)/(2/(-2)). Let z = 149 - 152. What is the least common multiple of 4 and (-40)/z*21/m?
20
Let p = 322/11 + -3008/99. Let f = -1/519 - 10552/519. Calculate the common denominator of p and f.
9
Let k = -597 + 1237. What is the least common multiple of k and 48?
1920
Suppose 4*v + s - 3*s - 12 = 0, 5*v = 5*s + 25. What is the smallest common multiple of ((-63)/15)/((-357)/2380) and v?
28
Let b(l) = -80*l - 514. What is the smallest common multiple of b(-8) and 270?
1890
Calculate the common denominator of 118/40*(-5 - 132/(-24)) and 19/515.
4120
Let l(m) = 721*m + 25962. Suppose -4*h = -228 + 12. What is the smallest common multiple of h and l(-36)?
54
Suppose 2*u - 5991 = 7*v - 4*v, -u + 2995 = -v. Let w be 43/((-1)/1)*u/44. Let y = w - -2922. Find the common denominator of -19/22 and y.
22
Let r be (-6)/((-30)/(-65)) + 6. Let o = 224/5 - 192/5. Find the common denominator of o and (20/(-9))/(5/(r + 17)).
45
Let o = 35 - 11. What is the smallest common multiple of o and 16*(58/1015 - (-1 + (-33)/35))?
96
Let d = -609 + 1151. Suppose 8*g - d = 10. What is the least common multiple of 60 and g?
1380
Let c = -1427959/121 - -11801. What is the common denominator of c and 67/88?
968
Let q = 28763431371/15032 + -1913480. What is the common denominator of 81/8 and q?
15032
Calculate the common denominator of -38/77 and 364/1716*5/(-3).
693
Find the common denominator of -67/80 and 9069/(-10752) - ((-624)/56)/13.
2560
Let u = 2304523213/2790 - 825994. What is the common denominator of 33/25 and u?
13950
Let c = -4487 - -4501. Calculate the smallest common multiple of 2762 and c.
19334
Calculate the common denominator of 89/8 and (1377/17268)/(12/8)*162/(-243).
11512
Let k be ((-18)/(-4) + -1)*(-2)/(-1). Calculate the common denominator of 338/(-19) + 9 + k and -3/47.
893
Let i = -2/4227 + -300097/42270. What is the common denominator of i and 113/322?
1610
Let f(j) = j**2 - 10*j - 97. Let i be f(16). Calculate the common denominator of (20/230