23/55 + -15701972. Let t = j + u. What is the common denominator of 79/45 and t?
495
Suppose -5*u = -2*u + 3, 3*k - u - 4 = 0. Let q = 4 + k. Let c = 28329 + -28321. Calculate the smallest common multiple of c and q.
40
Let i = 25/632 + -1504435/6952. Let r = 216 + i. Calculate the common denominator of r and -5/134.
1474
Calculate the common denominator of 5/105*(-107)/5 and ((-19670)/390)/(-7) - 9.
1365
Let j = 338981/27 + -12557. What is the common denominator of j and (4 - -1) + (-7 - 200/(-105))?
189
Let k(n) = n**3 + 13*n**2 - 29*n + 60. Calculate the smallest common multiple of k(7) and 72.
6696
Find the common denominator of -4*(-21)/140 - (-40510)/(-67600) and -20/7.
9464
Suppose 4 = x - 7. Suppose 4*r = 25*r + 273. Let z(m) = m**3 + 14*m**2 + 11*m - 15. What is the smallest common multiple of z(r) and x?
11
Let f be 582/(-12)*562345276/(-51718). Let k = -527355 + f. Let a = k + -698107/1111937. What is the common denominator of a and -48/11?
473
Let q = -8/258935 + 19444477/788198140. Find the common denominator of -101/42 and q.
63924
Suppose 0 = 8*u + 12 - 164. Suppose -2*n - u = -115. What is the least common multiple of 8 and (-32)/n + 20/3?
24
Let i = 2111 - 31694/15. Let z = 3251767/18 + -180702. Let j = -101/2 - z. Find the common denominator of i and j.
45
Let q = -27623/550 - -554/11. What is the common denominator of q and -107/5050?
5050
Suppose 12*y = -6*y + 6*y + 264. Calculate the smallest common multiple of y and 1068.
11748
Let a be ((-6)/4*9)/(3/6). Calculate the least common multiple of (-6)/(-27) - (-69)/a*-14 and 28.
252
Suppose -q = 2*n - 73, -5*q - n + 296 = -24. Let j = -75469 + 75518. What is the smallest common multiple of j and q?
441
Let t be (-440)/94815*9962/4. Let i = 4/2107 + t. Let c = -313/27 - i. Calculate the common denominator of c and 137/6.
54
Let m = 105/68 + -39/17. Suppose f - 33 = -0*f. What is the common denominator of -1*((-30)/f + -2) and m?
44
Suppose -61*k - 81 = -64*k. Let x be (-3)/(k/(-6))*-3 + -3. Let f(z) = -11*z - 46. Calculate the smallest common multiple of f(x) and 6.
18
Let y = 34/34325 + 2684951/26979450. Find the common denominator of y and 59/6288.
6288
Suppose 0 = -5*a + 60241 - 7106. Let t = -531309/50 + a. What is the common denominator of t and -99/8?
200
Suppose -53*f = -7*f - 1058. Suppose 22*l = 769 + f. What is the least common multiple of 24 and l?
72
Suppose 550 - 40 = -249*s + 300*s. Suppose -6*h + 250 = -h. What is the least common multiple of s and h?
50
Suppose 9*x - 520 = x. Let a be ((-20)/1)/(-1 - 0). Find the common denominator of x/(-2) - (a + -19) and 31/12.
12
Suppose 2636 = 4*h + 4*l, -16 = 4*l - 0. Let w = 675 - h. Calculate the smallest common multiple of 9 and w.
36
Let t = -14265 + 14267. What is the least common multiple of t and 5756?
5756
Suppose 13 = 3*j - 239. Suppose -4*d + 62 = h + 14, -2*h - 2*d + j = 0. What is the lowest common multiple of 44 and h?
440
Let k be ((-989)/(-172))/((-2)/24). Let o be (4/6)/((-2)/192). Let m = o - k. Calculate the least common multiple of m and 2.
10
Let h = -3876 - -31093/8. Let q(z) = -3*z + 24. Let t be q(2). What is the common denominator of h and ((-150)/(-16))/(t/36)?
8
Let v be 1 - (-2 + 57 + -2 - -1). Let y = 53 + v. What is the lowest common multiple of 2/(-11) - y - (-134)/11 and 8?
24
Let u(g) = 77*g + 2014. What is the lowest common multiple of u(-26) and 4344?
4344
Let r = 1/8076 + 87487/24228. Find the common denominator of r and -133/606.
1818
Suppose 0 = -6*a + 4*a - c - 65, 4*a + 3*c + 127 = 0. Let z(p) = -49*p - 1. Let h be z(1). Let d = a - h. What is the smallest common multiple of 6 and d?
48
Let h be 6 - 3*(-6 + 4). Suppose 0 = -w + 18 + h. What is the lowest common multiple of 33 and w?
330
Let q(r) = 7*r**2 - 48*r - 3. Suppose 5*d = 10*d - 10, 0 = 3*c + 3*d - 27. What is the lowest common multiple of q(c) and 4?
4
Suppose 3*x + 22 = 3*p + 31, 15 = 3*p + x. What is the lowest common multiple of p and 2355?
2355
Let y(z) = 2*z + 44. What is the lowest common multiple of y(5) and (-153)/36*-4 - 7?
270
Let v = -37771/30 + 1259. Find the common denominator of 2/12*((-56)/(-10) + -3) and v.
30
Let x be 9 - 15/3 - 264/10. Let r = x + 3353/120. What is the common denominator of r and 59/84?
168
Let j(f) = -f**2 + 8*f + 21. Let h(n) = -n**3 - 10*n**2 + 11*n + 14. Let t = 38 - 49. What is the least common multiple of h(t) and j(5)?
252
Suppose -2*m + 4*y + 2 = 0, 6*m - m + 2*y = 5. Let s be (-77691)/56457 + m - (-2)/(-3). Let p = -4/697 - s. Find the common denominator of 56/27 and p.
27
Suppose 0 = -u + 42 + 281. Let d = 47176/5615 - 2/1123. Calculate the common denominator of 12/16 + u/(-356) and d.
445
Let m = 3 - 1. Suppose -54*f + 78*f - 402 = 222. Calculate the least common multiple of m and f.
26
Let w = 100 + -98. Let z be 1*w/(2/(-823)*1). Let i = z + 8211/10. Find the common denominator of 43/33 and i.
330
Let i = 719 - 7919/11. Let p = 2702 - 276. Let h = p - 14665/6. Find the common denominator of h and i.
66
Let x(j) = -3*j**2 - 17*j + 12. Let a(s) = -s**2 - s. Suppose -3 = 6*v - 3*v. Let g(w) = v*x(w) + 2*a(w). What is the lowest common multiple of 10 and g(-16)?
20
Suppose 132*k + 238 - 2820 = 586. What is the smallest common multiple of k and 4137?
33096
Let z(f) = -28 + 48*f - 49*f + 26. Calculate the lowest common multiple of z(-10) and 18.
72
Let f = 13635735091/18486 + -9589014/13. Let h = f + -2/711. Calculate the common denominator of ((-644)/224)/(18/108) and h.
4
Let y be 167335/50 - -6*1. Let m = 3348 - y. What is the common denominator of m and -101/8?
40
Let q(k) = -k**2 - 7*k - 22. Let f(x) = -x**2 - x - 1. Let o(p) = -6*f(p) + q(p). Calculate the smallest common multiple of 3 and o(-5).
114
Suppose -140*r - 3*z + 199 = -133*r, 0 = -2*r - 2*z + 58. Calculate the smallest common multiple of r and 232.
1624
Let r = -70894051/177541920 - -2/616465. Find the common denominator of -43/864 and r.
864
Let g be -695 + (2 - (-2)/(-1)). Calculate the common denominator of -2 - ((356/30)/(-2) - (-26)/(-52)) and ((-2)/(-45))/((-4)/g).
90
Suppose -1514 = -34*v - 494. Let q(a) = a**2 - 4*a - 27. Calculate the lowest common multiple of q(9) and v.
90
Let q = -218309/696480 - -216/1451. What is the common denominator of q and -99/1280?
3840
What is the common denominator of 17000/34884 - 2/(-19) and 37/636?
5724
Let h = -13569/10 + 1358. What is the common denominator of h and 1 + (-634)/(-572) - (-130)/(-845)?
110
Let c = -84674817/532 - -159163. Find the common denominator of c and 25/84.
1596
Let q = -690 - -708. Let v(r) = r**3 - 6*r**2 - r + 6. Let c be v(6). Suppose 3*i - 5*i + 60 = c. Calculate the lowest common multiple of i and q.
90
Find the common denominator of (180/15)/432*258/100 and -103/72.
1800
Let b = -26 + 72. Let a = b + -62. What is the smallest common multiple of 58 and (10/(-8))/(1/a)?
580
Let t = 9249 - 9244. What is the least common multiple of 5607 and t?
28035
Let g be 2 - 6/2*-3. Suppose -13*v - 126 = -g*v. Find the common denominator of (v/90)/(1/7) and 27/2.
10
Suppose 2536 = 3*m + 9052. Let h = m + 110782/51. What is the common denominator of h and ((-4)/(168/(-511)))/(520/208)?
255
Let r = -668/45 + 621/40. Calculate the common denominator of r and (-6)/(-10) - (-2265)/100.
72
Let r(z) = -z**3 - 5*z**2 - 4*z - 2. Suppose -6*o - 3*o + 1233 = 0. Let j = -129 + o. What is the lowest common multiple of j and r(-5)?
72
Suppose 11*s - 489 - 963 = 0. Calculate the lowest common multiple of s and 14.
924
Let b be -4 + 3 + -55 + -2. Let f = -37 - b. Let i(q) = -q**2 - 4*q + 3. Calculate the lowest common multiple of f and i(0).
21
Let q = -19 - 13. Let b = -18 - q. Let i = 35849 - 35847. What is the lowest common multiple of i and b?
14
Suppose k + 4*v - 45 = 0, -2*k - v + 786 = 570. Suppose o + 26 = 2*o. What is the lowest common multiple of o and k?
234
Let u be 17 - 20 - (2000626/96 - -1). Let c = 20845 + u. What is the common denominator of -49/6 and c?
48
Let h = 1069226177/54 + -19799905. Let j = h + -1161/2. Calculate the common denominator of (4/(-21))/(6/28) and j.
27
Let c = 5/103 + -4439/206. Let p = 64 + c. Calculate the common denominator of 0 + -4*(-1)/240*-62 and p.
30
Let o = 18 + -10. Suppose 0 = -5*x - 4*d + 13, 2*d - 950 + 936 = -4*x. Sup