?
40
Let p = 1500/11 + -10397/66. What is the common denominator of p and (-250)/1375*158/(-32)?
264
Let d = -19 - -25. Suppose 7*y + 64 + d = 0. Find the common denominator of -107/14 and ((-1)/(-16))/(y/670).
112
What is the smallest common multiple of 696 and ((-854)/35 + 7)*(-31 - -1)?
2088
Let y = 3270673/11164836 + 2/30013. What is the common denominator of y and -88/21?
2604
Suppose 6*d + 2255 = -5*d. Let i = 232 + d. What is the lowest common multiple of i and 72?
216
Let o(q) = 9*q**3 - 88*q**2 - 10*q - 52. Suppose 0*m + 3*d - 39 = -4*m, -2*m = 3*d - 15. Calculate the least common multiple of o(10) and m.
48
Suppose -4*u + 17*h = 19*h - 402, 0 = 3*u + 4*h - 284. Calculate the least common multiple of u and 3094.
12376
Let o be (9624/873 - 9)/((-1)/3). Let i = 34759/7178 + o. Find the common denominator of i and 7/18.
666
Let r be 52/(-234) + (-94)/(-18). Suppose 5*h - 4*q = 1, 11 - 3 = 4*h - r*q. Let l(z) = z + 11. What is the least common multiple of 5 and l(h)?
40
Let h(n) = 233*n + 1452. Let r(j) = 5*j. Calculate the smallest common multiple of r(3) and h(-6).
270
What is the common denominator of -17/39 and -11 - (12 + -18) - 4098/(-832)?
1248
What is the common denominator of -1/1184 and (-4059)/(-492) + (-4)/14 + (-240)/42?
1184
Let m be 8*(3 - 1)/4. Let a(x) = -x**2 - 22*x + 30. Calculate the lowest common multiple of a(-23) and 16/m - (-4)/2.
42
Let a = -21 + 24. Suppose 4*i - 59 = -a*n - 2*n, 2*n = 4*i - 94. Calculate the smallest common multiple of 3/(-1 + 48/40) and i.
105
Let y = 7 - 0. Calculate the lowest common multiple of y and (53 + 1)/((-1378)/26 + 56).
126
Let g be (-3)/((-6)/(-18)*3) - -4364. Let w = -34973/8 + g. Let h = 145313/2958 - 1380/29. What is the common denominator of h and w?
408
Suppose 0 = 4*y - 5*y + 4. Calculate the lowest common multiple of (-2)/((-100)/(-30) - 3) - -92 and y.
172
Let m(v) = 45*v**2 - 11*v - 13. Let f be m(-2). Suppose f*h - 199*h = -180. Suppose -5*a - 9 = -129. Calculate the least common multiple of h and a.
72
Let m = -343 - -536. What is the least common multiple of m and 8?
1544
Let h(x) = 2*x**2 - 86*x + 104. Calculate the common denominator of (-5)/5*(-57)/21 and h(42).
7
Let h = 22168/9 - 34094369/13842. Let y = h - 9883/13073. What is the common denominator of 47/12 and y?
204
What is the least common multiple of (280/32 - 9)/(4/(-16)) and 2141?
2141
Calculate the smallest common multiple of 1/(34/12070*(-15)/(-24)) and 71.
568
Suppose -19*b + 8*b = -3696. Suppose -5*a = 2*g + 577, -a = -g - b + 65. Find the common denominator of 1/(-2) + g/288 and -61/8.
24
Let y be ((-3519)/12)/(1/2). Let a = -598 - y. Find the common denominator of a and (-2 - -4)*(-15)/(-54).
18
Let x(s) = -3*s - 2. Let v(l) = 4*l + 2. Let q(u) = -4*v(u) - 5*x(u). Let k be q(3). Calculate the common denominator of 47/26 and (-77)/(-14) + -1 + 3/k.
26
Let z = -691208401/16680 - -124318/3. Find the common denominator of 103/10 and z.
5560
Let q = 8905 - 8655. Calculate the lowest common multiple of 90 and q.
2250
Let q = 202395 - 802719/4. Let c = -1704 + q. Find the common denominator of (-1 - (-427)/105)/(4/5) and c.
12
Let w(p) = p - 30. Let v(y) = -y**2 + 2*y + 256. Let x be v(-14). Calculate the lowest common multiple of 158 and w(x).
158
Let a(y) = 7*y**2 - 3*y - 2. Let d be a(-1). Let v be 0/(-3) - -4*d. Let s = v + -26. Calculate the lowest common multiple of s and 112.
336
Suppose 35*c + 208 = 48*c. Calculate the least common multiple of c and 200.
400
Let f(t) = -7 - 1 - 52*t**2 + 11*t**2 - 5*t - 31*t**2. Let x be f(7). Let y = x - -21377/6. Calculate the common denominator of 35/11 and y.
66
Calculate the least common multiple of (85635/7612)/((-2)/((-32)/6)) and 290.
870
Let z(s) = -4*s**2 + 58*s + 2. Let r = 119 - 109. Calculate the lowest common multiple of r and z(9).
200
Let z(i) = -2*i**3 + 11*i**2 + 2*i - 13. Let c = 5 + 0. Suppose 14 = 5*t - 6. What is the smallest common multiple of z(c) and t?
44
Let f be (-756)/60 + 12 + 63/5. Suppose -5*r + 2*g = -380, -10*g = -f*g. Calculate the smallest common multiple of 57 and r.
228
Let x(y) = -5*y - 6. Let f(z) = 9*z + 13. Let a(g) = -6*f(g) - 11*x(g). Let c be a(7). Find the common denominator of (-1)/c + 262/140 and -9/38.
266
Let h = 2229/770 - 15/77. Suppose 5*x - 1260 = 3*y, -5*y - 1143 - 985 = x. Find the common denominator of h and y/130*(-16)/(-20).
130
Let d(c) be the third derivative of -c**6/40 - 2*c**5/15 + c**2 - 13*c. What is the least common multiple of 8 and d(-3)?
72
Let w(p) = -38*p**2 + 1109*p + 29. Calculate the least common multiple of w(29) and 56.
1624
Let o(g) = -g**2 + 12*g - 43. Let z be o(7). What is the common denominator of z/(-6)*(-1 - (-248)/(-32)) and -79/118?
354
Let a = -25347 - -456109/18. Find the common denominator of 8/(-10) + 5572/(-360) + 12 and a.
18
Suppose 268*o - 290*o = -44. Calculate the least common multiple of o and 6/4 + 84/8.
12
Calculate the common denominator of -17/118 and 23273/4662 - ((-5)/(-7) + -1).
1062
What is the lowest common multiple of 360/(-45) + (24/2 - -2) and 762?
762
Suppose 5*v = 4*g + 3*v + 200, -4*v + 64 = -g. Let x = g - -50. Suppose x*z = -o - 3*o + 532, -5*o + 664 = 3*z. Calculate the least common multiple of o and 22.
1474
Let o = 788169 - 3851781917/4887. Calculate the common denominator of o and -61/1629.
4887
Find the common denominator of -13/192 and ((-10)/5 - 16/(-9))*9387/(-168).
192
Suppose -30*a + 5*c + 3613 = -27*a, 5*a - c = 6029. Calculate the smallest common multiple of a and 9.
1206
Let i = -6 + -1. Let l = 204/5 - 921/20. Calculate the common denominator of l and 586/(-56) - (-2)/i.
4
What is the common denominator of 2/72*-159 - 5 and 97/3*12/(-16)?
12
Suppose -114*c = -121*c + 6398. Calculate the lowest common multiple of 18 and c.
8226
Let j = -93423 - -373693/4. What is the common denominator of j and 26/4*(-10)/(-42)?
84
What is the smallest common multiple of 726 and (0 + -342)*3355/(-4026)?
68970
Calculate the lowest common multiple of (-37169)/(-654) - 35/(-30)*(-1)/(-7) and 570.
570
Let x = -435183/1925456 + 1/18514. What is the common denominator of 14/(-96)*336/(-32) and x?
416
Let i = 3715 - 3693. What is the smallest common multiple of i and 111?
2442
Suppose -v = -3*i - 5*v + 251, 3*v = 4*i - 293. Let j = -61 + i. Let s(l) = -l**2 - 7*l + 2. What is the least common multiple of s(-5) and j?
48
Let u(h) = -6*h**2 + 113*h - 79. Calculate the lowest common multiple of u(17) and 240.
2160
Let u = -35527/84 - -2974/7. Let o = 28414 + -113557/4. What is the common denominator of u and o?
12
Suppose 5*x + 55 = -a, -5*a - 9 - 6 = -x. What is the lowest common multiple of 30 and (-18)/12*(-6)/(-5)*x?
90
Let g be (357090/(-25578) - -14)/(52/(-327)). Let k = g - 36/377. Calculate the common denominator of k and 36/11.
2156
Find the common denominator of 63/22 and (-53779)/9464 + 158/(-553) - (3 + -9).
14872
Let n = 3/8072 + 92273/1493320. Find the common denominator of n and 15/814.
4070
Let s(n) = 5*n + 80. Let v be s(-16). What is the common denominator of (120/(-2880))/((-3)/(-122) + v) and 11/32?
288
Suppose 1382 - 330 = 2*y. Suppose -t = 5*m + 1101, 3*t - y = 3*m + 131. What is the common denominator of 2/(-10) - 3179/m and 35/2?
4
Let j = 10501/1620 - 116/81. Let g = -137/16 - -187/16. Calculate the common denominator of j and g.
40
Let u be 10/(-50) + 32/10. Calculate the common denominator of 60/14*(-1435)/(-328) and u/(-5) - 393/(-80).
16
What is the smallest common multiple of 2368 and 120/10*(308/(-3))/(-7)?
26048
Let w(o) be the third derivative of -o**4/3 + o**3 + 9*o**2. Let d be w(1). Find the common denominator of d/72*-321 - 2 and 125/24.
24
Let l = 1602/13 + -14889/130. Let x = -82 - -36. Calculate the common denominator of l and x/4*(-6 - -4).
10
Let d = 19771511/180 - 109842. Find the common denominator of d and 5935/1050 - (1 + 10/(-14)).
180
Let k(l) = 5*l**2 - 2*l. Let o be k(-1). Suppose -13*y - o = -6*y. Find the common denominator of 31/22 and 258/(-12) + -2 - (1 + y).
22
Let s = 8698/845 + 18/169. Calculate the common denominator of 38/75 and s.
75
Suppose 0 = -2*z + 27 + 57. Calculate the least common multiple of z and ((-21 - -19) + -7)*(-160)/30.
336
Let c(g) = g**2 + 8*g - 9. Let f be c(-9). Suppose -6*y - y + 42 = f