 k = 18 - 16. What is the common denominator of -9/14 and (166/(-16))/(k/d)?
14
Suppose 17 = -13*a + 69. Suppose a*w - 64 = -5*i, -w = 4*i - 3*w - 72. What is the lowest common multiple of i and 60?
240
Let a = 3607/180 - 871/40. What is the common denominator of a and 50/(-6) + 0/3?
72
Let s(o) = 3*o + 54. Let x be s(-18). Suppose -5*p - 9332 + 512 = x. Find the common denominator of 8/11 and 3 + 75/(-27) - 328/p.
539
Let p(l) be the third derivative of l**6/120 - l**5/20 + l**4/12 + l**3/6 + l**2 + 17. Calculate the lowest common multiple of 22 and p(2).
22
Let s be ((-20196)/(-165))/(1 - (-11)/(-10)). Calculate the common denominator of 561/s*(-3)/(-2) and 87/52.
208
Suppose -q + 0*q - 80 = 2*z, -4*z + 136 = -2*q. Let i = q - 16. Find the common denominator of (-7 + (-588)/i)/(1/11) and 61/33.
165
Suppose -8 = 4*u, 2*c = -u + 2043 - 1505. What is the least common multiple of c and 9?
270
Let g be (-48)/(-9)*(-27)/(-36). Suppose 0 = 2*r + g, 0 = o - 4*r - 5 - 4. What is the least common multiple of 8 and o?
8
Let i = -14 + 20. Let k = -1934 + 1974. Suppose -m + i*m = k. Calculate the lowest common multiple of m and 2.
8
Suppose 3*l = -2*m - 0*l + 703, -707 = -2*m + l. Find the common denominator of m/255 - (-6)/(-40)*4 and -28*(-8)/(-36) + 1.
153
Let b = 29212 + -28186. What is the lowest common multiple of 1311 and b?
23598
Let d = -94579 - -31778455/336. What is the common denominator of -37/1512 and d?
3024
Let w be 1*-8*7/14*-1. Let h be 47 + ((-4)/(-10))/(w/(-20)). Suppose h = -4*a + 9*a. What is the smallest common multiple of a and 13?
117
Let r = -20838437574 + 7040807933391779/337876. Let n = 3/7679 + r. Calculate the common denominator of n and (-28)/42 - (-142)/(-72).
396
Calculate the common denominator of -85/3936 and 24 + (-754)/32 + 2/(-6).
3936
Let w = 855/7 + -47074/385. Let j = 4587 - 275279/60. Find the common denominator of j and w.
660
Suppose -64*b + 40*b - 270 - 786 = 0. Let o be 1/(-5)*1418/(-4). Let c = 334/5 - o. Calculate the common denominator of b and c.
10
Let u(g) = -g**2 + 16. Let y be u(-5). Let i(q) = -q**3 - 7*q**2 + 15*q - 1. Let n be i(y). Let p = n + -14. Calculate the smallest common multiple of p and 3.
12
Let x(d) = -d**3 - 20*d**2 - 69*d + 96. Calculate the least common multiple of 191 and x(-15).
1146
Let x = -8407 + 16520. Let q = 162189/20 - x. What is the common denominator of q and -63/8?
40
Let y = -4 - -22. Let a = -7703/210732 - 11/4132. What is the common denominator of a and (-165)/y - (1 - 1)?
102
Suppose 5*j = 2*c + 2*c - 56567, 0 = 4*j + 4*c + 45232. Let q = -5304863/469 - j. Let p = -24047/15008 - q. Find the common denominator of p and -145/36.
288
Let y(f) = -999*f**3 + 2*f**2 + f - 2. Let a be y(1). Let i = a - -11857/12. What is the common denominator of i and -173/30?
60
Let a(x) = -4*x - 116. Let m be a(-26). Suppose -o + 18 = 2*o. Calculate the lowest common multiple of o and ((-10)/8)/1*m.
30
Let h = -84 - -24. Let g be h/(-14) - 10/35. Suppose g*w - 34 = -2*p, 3*w + 4*p + 0*p = 18. What is the smallest common multiple of 17 and w?
170
Let w = 12162 - 12030. Calculate the smallest common multiple of w and 608.
20064
Let n be (-21)/35 - (-879)/16740. Let z = -1/124 + n. Calculate the common denominator of 8/9 and z.
9
Let k = 1207/105 + -865/42. What is the common denominator of k and -5/2048?
10240
Let s = -58639547/415 + 141300. Find the common denominator of 35/249 and s.
1245
Let u be -9 - -15 - (-74 + 1). Suppose -101 = -6*r + u. What is the smallest common multiple of 14 and r?
210
What is the smallest common multiple of 1390 and 8/(-6) + (-7 - (-2385)/27)?
11120
Let w(b) = -b**3 + 7*b**2 + 133*b - 973. What is the smallest common multiple of 1365 and w(8)?
12285
Suppose -58*h + 10822 = -935 - 7499. What is the lowest common multiple of h and 913?
3652
Let w = 55 - -40. Suppose 0 = -w*g + 94*g - 40. What is the common denominator of g and 39/2?
2
Suppose -112 = 477*d - 481*d. Suppose -4*t = -214 - 18. Suppose -3*g - n + t = 0, 5*g - n - 2*n - 106 = 0. Calculate the smallest common multiple of d and g.
140
Let g = -16292 + 16332. Calculate the smallest common multiple of 810 and g.
3240
Let f(u) = u**3 - 24*u**2 + 22*u + 8. Let o be f(23). Let h be (-20633634)/245*o/51. Let s = h + -24770. Find the common denominator of -109/6 and s.
714
Find the common denominator of (-547)/(-540) + 2/10 and -2 + (-75)/16 - 18/(-2).
432
Suppose 7*i = 4*i + 201. Suppose -5*b = -16 + 1, -5*r = -b - i. Let q(c) = c**3 - 7*c**2 + 9*c + 4. What is the least common multiple of q(6) and r?
154
Suppose -148*r = -146*r - 2*u - 20, 5*r = -2*u + 78. Let d(s) = -s**2 - 8*s + 10. Calculate the lowest common multiple of d(-9) and r.
14
Suppose 0 = -4*c - 0*c. Suppose -47*a + 2019 - 6915 = -353*a. What is the lowest common multiple of a and (11 - c) + 4/4?
48
Calculate the common denominator of 123/532 and (-540)/1080*(-53)/(-5).
2660
Let u = -99/16793 - -1921319/15415974. What is the common denominator of u and -133/2652?
23868
Suppose 13 = 3*n - 5*q, -17*n - 3*q = -14*n + 3. What is the lowest common multiple of 127 and n?
127
Suppose p - 3 + 1 = 0. Let d(j) = j**3 + 10*j**2 - 27*j. Suppose -4*w - 8 = 0, a + 5*w - 2 = 2*a. What is the least common multiple of d(a) and p?
36
Suppose -75*u + 74*u = -12. What is the lowest common multiple of -48 + 48 + 24/(3 + -1) and u?
12
Let w = -31723/10 + 3169. Let f be 2/(-12)*(8 - 77932/10863). Let v = 5/459 + f. Calculate the common denominator of w and v.
710
Calculate the common denominator of 47/1485 and ((-1824)/11880)/(-38)*(-102)/(-4).
1485
Let x(j) = -4*j**2 - 11*j - 13. Let u be x(-3). Calculate the common denominator of -16/55 and (u/1020)/(3/513*6).
935
Calculate the lowest common multiple of 306 and 20/(-18)*540/(-50).
612
Let p be 1 + 0 - -2 - 8022374/2674126. Let c = 348253452/22730071 + p. Let t = -190/13 + c. Calculate the common denominator of -59/4 and t.
68
Let h = -884/19 + 52373/1064. Let w = -11/7 + h. What is the common denominator of w and 49/40?
40
Let j be (-6 + 3)/(3/(-5996)*14). Let l = -170795/399 + j. What is the common denominator of l and -39/209?
627
Let b = 16142 + -23525. Let h = -956134 - -7708045/8. Let l = h + b. Find the common denominator of l and -37/64.
64
Let x = 32 - 30. Let j(f) = -f + 5. Let i be j(-13). Suppose 5*c + 0*m + 2*m - 78 = 0, -2*m = -c + i. What is the least common multiple of c and x?
16
Suppose -z + 3*y - 12 = 0, -4*z = z - 3*y + 12. Suppose 5*f - 5*n = -z*f + 50, -3*f + 27 = -2*n. What is the smallest common multiple of 15 and f?
105
Suppose 4*z - 5*k = 400, 8*z - 3*k = 10*z - 178. Calculate the lowest common multiple of z and 25.
475
Let n = -1403169/287600924 + 43/8786. Let d = n - 2242285/392808. What is the common denominator of d and (-2)/(-12)*99/(-4)?
24
Suppose -462 = -10*x + 918. Suppose -880 = -5*h - 4*y, 3*y - x = -4*h + 565. Calculate the lowest common multiple of h and 7.
1204
Let a(u) = -u**3 + 7*u**2 - 32*u - 35. Let l be a(14). Let p = 9803261/28 - 351970. Let d = l - p. What is the common denominator of -71/12 and d?
84
Calculate the common denominator of 16/3 and -10 + 7 - (-27205)/78*3/345.
1794
Let u = -8108 + 454017/56. Find the common denominator of -33/658 and u.
2632
Calculate the common denominator of -123/20 and 8732/1110*(0 + 15/(-96)).
240
Let o = -32 + 45. Let h(n) = n**3 - 13*n**2 + n - 4. Let v be h(o). Suppose 10*i - v*i - 4 = 0. What is the least common multiple of i and 12?
12
Let z = 1820 + -1815. Calculate the least common multiple of 574 and z.
2870
Suppose 3*w = -0*w + 24. Let k(b) = -b**2 - 40*b - 15. Let y be k(-29). Let s = y - 268. Calculate the lowest common multiple of s and w.
72
Let p(r) = 53*r + 5. Let h be p(7). Calculate the common denominator of 7/(-133) - (-2 - 8492/(-1463)) and (-2)/8 - 174/h.
658
Let k be (4/738)/(40/65355). Let x = -427543/82 + 5214. Let d = k + x. Calculate the common denominator of -75/14 and d.
84
What is the common denominator of (4/(2976/9))/((-2)/(-8)) and (1140/(-56) - 6)*56/240?
620
Suppose 5*w - 52 = -2*n + 70, 2*w = n - 52. Suppose 88 = 24*s - n. What is the lowest common multiple of 56 and s?
168
Let x(h) = 57*h**3 + 7*h**2 - 12*h + 7. Let y be x(5). Let d = y + -57877/8. What is the common denominator of d and -1/40?
40