et r be (28 - 24)*(-3)/((-3)/2). Let a(s) = -s**3 + 9*s**2 - 5*s - 8. What is the lowest common multiple of 10/(7/(8 - 1)) and a(r)?
80
Let t = 51 - 670/13. Let r = -60279/11 - -5476. What is the common denominator of t and r?
143
Let f = -215 + 153. Calculate the common denominator of -83/24 and f/105*(-325)/(-52).
168
Calculate the lowest common multiple of 494 and 78/36*-4*3*(-34)/4.
8398
Let b be (-2)/(-5) - (-10)/(-25). Calculate the lowest common multiple of b*(-1 + 0) - -30 and (-3 - 7)/(32/(-48)).
30
Suppose -787 - 4772 = -55*h - 939. Calculate the lowest common multiple of h and 12.
84
Let i = -64068/37 - 1040692/925. Let q = i - -2857. Find the common denominator of q and -39.
25
Suppose -2*o = 5*w + 3*o - 2955, 0 = -2*o - 4. Let h be w/1688 - 3/8. Let k = -4873/844 - h. Find the common denominator of k and -121/6.
12
Suppose -2*p + 26 - 20 = 0, -3*k + 3*p = -180. What is the lowest common multiple of k and 2?
126
Let a = 2/7899 - -123671/315960. What is the common denominator of a and 127/180?
360
Suppose -h + 34 - 44 = 3*x, 4*h + 5*x - 2 = 0. Calculate the least common multiple of h and 2494.
9976
Find the common denominator of 53/366 and (-6212)/(-1056) + (-75)/825.
1464
Let z = -11092 - -11857. What is the least common multiple of 11 and z?
8415
Suppose -4*f + 6 = -2*f, -4*z + 3*f + 271 = 0. Let n(h) = h + 4. Let r(t) = -t**2 + 2*t + 6. Let u be r(4). What is the lowest common multiple of z and n(u)?
70
Let n = -8 - -18. Suppose -l - 64 = -2*g, -96 = -3*g - n*l + 12*l. Calculate the smallest common multiple of 12 and g.
96
Let t = 77 + -57. Suppose -3*z = 5*l - 70, 3*z - 5*l = -0*z + t. Calculate the common denominator of z and -29/142.
142
Let o be (10032/3336 - (-1 + 4))*576 - 6. Let x = 66/8528687 - -218615668739/21338774874. Let v = x + o. What is the common denominator of 61/27 and v?
54
Let j be (80/24 + -3)*9*17. Suppose -4*k + 21 = -j. Let p = 27 - k. What is the smallest common multiple of p and 6?
18
Let w(t) be the first derivative of -t**3/3 - 3*t**2 + 7*t + 11. Let y be w(3). Let o(d) = -d**2 - 20*d + 22. What is the lowest common multiple of 2 and o(y)?
22
Let o(r) = 7*r**2 + 15*r + 16. Calculate the lowest common multiple of 14 and o(-31).
43946
Suppose 826 = h + 818. Find the common denominator of 35/18 and (-606)/(-333) + 0 + -10 + h.
666
Let x(j) = -332*j - 2320. Calculate the smallest common multiple of x(-7) and 212.
212
Let u be (32726/6)/((-880)/(-66)). Let o = u - 409. Find the common denominator of 52/25 and o.
200
Let c be (4/(-3))/(11/(-33)). Suppose -29 = -c*z + n + 150, -n + 46 = z. Calculate the common denominator of 83/56 and (-25)/24*z/5.
56
Let r(m) = -m**2 - 15*m - 10. Let j be r(-14). Let z be -3*j/(-3) - -9. Suppose 0 = 2*g - z - 7. What is the lowest common multiple of g and 16?
80
Suppose 0 = -i + 4*x + 20 - 9, 4*i + 3*x = -13. Let c be 3*(-17623)/7668 - (4 + i). Let v = c + -14/639. What is the common denominator of 22/3 and v?
12
Suppose -13*a + 0*a - 1703 = 0. Let b = -120 - a. What is the smallest common multiple of b and (-4)/(-6)*18/4?
33
Let h = 108/31 - 12326/3627. Let x be (22975/1287)/5 + -1. Let o = h - x. Calculate the common denominator of o and -9/7.
231
Let r(q) = -q**3 + 9*q**2 - 6*q - 11. Let w = -5 + 10. Suppose 0 = -2*c + w*f + 13, -2*f = -4*c - 5*f + 39. What is the smallest common multiple of c and r(8)?
45
Let m be ((-4)/(-8))/(-3*(-2)/36). Suppose -7*d = m*d - 60. What is the least common multiple of d and 146?
438
Suppose 12 = 7*c - 3*c. Suppose -21 = -z - 0*z - x, c*x + 93 = 3*z. Let o = z - -8. What is the smallest common multiple of 8 and o?
136
Let a = 7 + -4. Suppose 2*r - a*t - t = 42, 0 = r - t - 21. Calculate the least common multiple of 28 - (-2)/(-1 - (0 + 1)) and r.
189
Let m = 50 - -5. Suppose -6*c + 49 = -71. Calculate the least common multiple of c and m.
220
Calculate the common denominator of (-5*(3 - 1) - 128122/(-9024)) + (-105)/30 and (-445)/(-108)*1/5.
864
Let v(z) = z**2 - 9*z + 6. Suppose 30*w - 518 = 28*w. Suppose 4*s - 117 = w. Calculate the lowest common multiple of s and v(9).
282
Calculate the common denominator of ((-2125)/775)/(-17 + 1) and -87/20.
2480
Let p be 4/(-28) - 536/(-28). Suppose 360 = 24*u - p*u. Let a = u + -65. Calculate the lowest common multiple of 4 and a.
28
Let x = -82599 - -165201/2. Let m = -29688767/482 - -61595. Find the common denominator of m and x.
482
Suppose 7206 - 24419 = -5*d + 4*x, 5*d - x = 17222. Calculate the smallest common multiple of 2385 and d.
31005
Suppose 19*w = 17*w - 11*p + 767, -3*w + 4*p = -1048. What is the smallest common multiple of 172 and w?
15308
Suppose -g + 1316 = 5*v, 63*g - 59*g - 5*v = 5114. What is the smallest common multiple of 8 and g?
5144
Suppose 68*k - 66*k = -4*x + 9960, 5*x = 5*k + 12495. What is the least common multiple of x and 10?
24930
Let c be (4/6)/(224/(-114) - -2). Suppose -c*p + 16 = -23*p. Let u = 12 + p. Calculate the smallest common multiple of 22 and u.
88
What is the common denominator of -52 - -54 - 77/16 and -5/96?
96
Let c = -213929/60 + 10687/3. Find the common denominator of c and (-123)/(-10)*(-130)/1248.
160
Suppose -11*q + 528 = 419 - 3235. Calculate the lowest common multiple of 76 and q.
304
Let n = -54496 - -15694873/288. Calculate the common denominator of -113/10 and n.
1440
Let h = -101/552 - -635/7912. What is the common denominator of 163/30 and h?
2580
Let w = 356 - 348. Suppose -w*i + 149 = 21. Calculate the lowest common multiple of 356 and i.
1424
Let r(x) = -5*x + 77. Let v be r(15). Suppose -i - g + 4*g + 39 = 0, 3*i = -2*g + 62. Suppose -z + v*z = i. Calculate the least common multiple of z and 14.
168
Suppose 95 + 245 = 5*p. Calculate the lowest common multiple of p and -7 - (-22)/4 - 34/(-4).
476
What is the common denominator of 57/3920 and 6/(-21) - ((-6)/280)/(34/(-2125))?
3920
Let c = -245397 - -124416217/507. What is the common denominator of c and 2?
507
Suppose 5 = -5*t - 2*n - 21, 24 = -3*t - 4*n. What is the smallest common multiple of 18 and t*((-49)/14)/1?
126
Let o = -157 + 89. Let u = -61 - o. Let f(w) = 6*w - 34. Calculate the least common multiple of f(u) and 20.
40
Let h = 282 + -278. Calculate the lowest common multiple of (-2)/(-3) + -1 + (-73)/(-3) and h.
24
Let q(h) = 4*h**2 + 2*h - 6. Let s be (-84)/15 + 6/10. Suppose -13 - 43 = -4*g. Calculate the smallest common multiple of q(s) and g.
84
Let h = 2474 - 2429. What is the smallest common multiple of h and 35?
315
Let k be (0 + 1)*(8 + 10). What is the common denominator of -5/24 and (k/20)/((-5)/35*6)?
120
Suppose -5*y + 25 = 0, -10*z - y = -6*z - 1. What is the common denominator of 127/72 and -8 + z*(-542)/96?
144
Let w be (0 + -1)/((-1)/6). Suppose -4*j = -5*y + 2514 - 2355, -j + 102 = 4*y. What is the smallest common multiple of 2/w + 294/9 and y?
297
Let w = 16975 + -780881/46. Let b = 115683/14 - 8256. Calculate the common denominator of b and w.
322
Let o = -150 - 165. Let b = o - -387. Calculate the least common multiple of 30 and b.
360
Let k = 12/118033 + -14765213/109062492. Calculate the common denominator of k and 6/77.
924
Let s = -1260286 + 167618825/133. Let r = -73559/15960 + s. What is the common denominator of -83/165 and r?
1320
Suppose 1184 = 2*h + g, -25*h = -23*h + 5*g - 1168. Calculate the least common multiple of h and 99.
594
What is the lowest common multiple of (16 - (18 + 16))*(-3)/6 and (-4)/(-2*(-2 + 3))?
18
Let y be (4/(-5))/(-4)*(2 + 3). Calculate the smallest common multiple of 156 and -3 + -5 + 6 + 6 + y.
780
Suppose 0 = -5*p - 5*a + 8980, -4*a = 3*p + a - 5392. Calculate the smallest common multiple of 30 and p.
8970
What is the common denominator of (-24)/(-960) - (-828)/(-5120) and (-1)/(-3) - (-345)/(-252)?
1792
Let a be (-339)/((-65)/20 + 4). Let k = a + 804. What is the common denominator of 51/22 and ((-4)/(k/(-54)))/(2/12)?
22
Find the common denominator of (1 - 3638/3616)*24700/(-2850) and 9/1808.
5424
Let y be (6 - (-176)/(-30)) + 7049/(-10140). Let c = y + 2/169. Find the common denominator of c and 31/78.
780
Let t = -31/149 - 5656/745. What is the common denominator of t and -1 + 1 - 31/114?
570
Let v = -27468 + 1757989/64. Find the common denominator of 29/31 and v.
1984
Suppose 5*g - 2*w + 46 = 0, 2*w - 10 = 7*w.