. Let s be h(-5). What is the smallest common multiple of 20 and (s/15)/(1/(-18))?
60
Let a be (3 - 7) + (-9)/(-3) + 43. Let i be (-5)/(a/(-10) - -4). Suppose 0 = i*q - 26*q - 36. Find the common denominator of 49/9 and q.
9
Let b(l) = l**2 - 73*l + 168. Calculate the lowest common multiple of b(72) and 432.
864
Let j(b) = b**3 - 7*b**2 + 5*b. Let a be j(6). What is the common denominator of 147/a*1/8 and 17/(-18) - (-612)/(-102)?
144
Let n = 259414911/1510 - 171798. Calculate the common denominator of 83/1510 and n.
1510
Let c(u) = -93*u + 390. Calculate the lowest common multiple of c(-18) and 21.
14448
Let z = 528 + -548. What is the common denominator of -71/30 and (-3)/z*(-4192)/432?
90
Suppose -3*q - 300 = -3*o, -177 = 5*q + o + 293. Let g = q + 99. Suppose 0 = -4*b - b + 45. Calculate the lowest common multiple of b and g.
36
Let k = 60 - 57. Let m be ((-116307)/15)/k - 8/60. Let y = m - -2591. Calculate the common denominator of 49/9 and y.
45
Let y be -1 + (-3 - -2)*-63. Suppose -y = -3*q + 2*m - m, -m = q - 22. Suppose 0 = 890*o - 884*o - 4 - 14. Calculate the smallest common multiple of q and o.
21
What is the smallest common multiple of 384 and (5 - (-6084)/16) + (25/20)/(-1)?
384
Calculate the common denominator of 1354/168 - (-3740)/(-660) and -10/413.
1652
Calculate the common denominator of (-6)/(-36)*-164*3*(-3)/(-675) and 43/380.
17100
Suppose -4*v = -4*i + 24, 0 = 2*i - 2*v - 2*v - 20. What is the lowest common multiple of 162 and i?
162
Let q = -529 + 539. Calculate the lowest common multiple of 1332 and q.
6660
Let n = 370 - 271. What is the least common multiple of 36 and n?
396
Let d(a) = 2*a - 12. Let u be d(6). Suppose -9*s + 7*s + 26 = u. Suppose -10*z = -s*z + 54. Calculate the smallest common multiple of 21 and z.
126
Let y = 728 + -705. Let i be (-1 + -1)/((-7)/14). Let d = -2 + i. What is the lowest common multiple of d and y?
46
Let x be 110/12 + 2/(-12). Let v be (x/6)/(-3)*(-50574)/(-51). Let b = v - -496. Calculate the common denominator of b and -89/2.
34
Let h = -596325/214432 - 2/6701. Find the common denominator of h and (726/(-32))/((-5)/(70/63)).
96
Let a(o) = -57*o**2 + o + 36 + 9*o**2 - 8754*o**3 + 8751*o**3. Let g(n) = 2*n**2 - 6*n. What is the lowest common multiple of g(5) and a(-16)?
20
Let m = -6 + 8. Suppose 0 = 659*h - 680*h + 84. Suppose h*g - 20 = m*g. Calculate the lowest common multiple of g and 18.
90
Suppose 11*w - 7*w = 28. Suppose 476 - 98 = 7*v. Suppose 2*r = -4*r + v. What is the least common multiple of r and w?
63
Let c = 1968560 + -3405608907/1730. What is the common denominator of c and 59/8?
6920
Suppose 0 = 5*x - 64 + 4. Suppose y - 4*d - 41 = 0, -580 = -2*y - 4*d - 522. What is the lowest common multiple of x and y?
132
Let m = 4829 - 627831/130. Calculate the common denominator of m and -3/91.
910
Let o(w) = -14*w + 1272. What is the smallest common multiple of o(65) and 16?
2896
Let u be (-30)/5*1/2. What is the common denominator of -61/54 and 796/264 + (u + 1 - 2)?
594
Let d be (-2)/(-32)*-83*-14. Let v = -11331/152 + d. Find the common denominator of v and -31/16.
304
Let s(c) = 232*c + 1630. What is the lowest common multiple of s(-7) and 210?
210
Let s = -1189/35 + 137/5. Suppose 22*f - 28*f + 774 = 0. Let x = -82 + f. Calculate the common denominator of s and x.
7
Suppose 119*v - 15236 - 15704 = 0. Calculate the smallest common multiple of v and 1560.
1560
Let r = -12254 - -13558. What is the smallest common multiple of 326 and r?
1304
Let n be ((-1194)/15)/(4 - (-6140)/(-1525)). Let a = n + -3053. Find the common denominator of -61/65 and a.
260
Suppose -19*k = -23*k + 32. What is the smallest common multiple of 252 - 1/4*(-4 + 4) and k?
504
Let l(o) be the first derivative of 19*o**3 - o**2/2 + 9. Suppose -5*s + 60 = -5*h + 5, 0 = 3*s + 5*h - 1. Calculate the smallest common multiple of s and l(1).
56
Let i(t) = 2*t**2 - 17*t + 10. Let h be i(8). Suppose -2 = -h*p - 0. Let b(g) = -2*g**2 - 25*g + 161. What is the smallest common multiple of b(-17) and p?
8
Suppose -6*a = -2*a. Let s(g) = g**3 + 5. Let x be s(a). Suppose -5*m = 2*l - 66, m - x*l = 21 + 3. Calculate the lowest common multiple of m and 6.
42
Let z = -544 + 556. What is the common denominator of (2/z)/((-1968)/219 - -9) and -95/24?
24
Suppose 0 = -9*u - 21*u + 60. Calculate the least common multiple of 6 - u/(8/12) and 180.
180
Suppose 0 = 8*l + 92026 - 91778. Calculate the common denominator of l and 4/6 + 78/(-4).
6
Let p(v) = 3*v**2 - 278*v - 148. What is the smallest common multiple of p(97) and 795?
5565
Suppose -5*t = 3*p + 146, 8 = -p - 5*t - 44. Let l be ((-60)/(-45))/((-2)/102). Let u = p - l. Calculate the smallest common multiple of 24 and u.
168
Let b = -170 - -169. Calculate the smallest common multiple of (72/252)/(b - 15/(-14)) and 4.
4
Let r = 2580289/91 + -28355. Let p = 22359934/221 - 101176. Find the common denominator of p and r.
1547
Let i = 1829/200 - 363/25. Calculate the common denominator of i and (-15)/((-7)/((-21)/6)).
8
Suppose 0 = 38*q - 270*q + 8729 + 6119. Let k = 8 - 4. What is the smallest common multiple of q and k?
64
Suppose 11 = 2*y - 5*j, -y - 3*j + 9 = -2. Let t(q) be the third derivative of -q**5/60 + q**3/3 - 14*q**2. What is the smallest common multiple of t(0) and y?
8
Let t = -229555 - -85853619/374. Find the common denominator of 22/391 and t.
8602
What is the common denominator of (-290)/(-144) - (-7)/(-14) and (0 - 31/9) + 33/(3069/62)?
72
Suppose 16 = -3*y + 4*t + 15, -t = -5*y + 4. What is the lowest common multiple of y and 4033?
4033
Calculate the common denominator of ((-3)/(-12))/((-81)/(-12)) and 11 + (-4)/20*12985/168.
216
Let b = -1773 - -21335/12. Let l be 0 + ((-4)/2630)/(28/15). Let k = 163915/81004 + l. Find the common denominator of k and b.
132
Let i(l) = 18*l + 20. Calculate the least common multiple of i(2) and 868.
1736
Let n be (4 - (-72)/(-20))/(2/15). Let l(m) = 133*m + 13. What is the lowest common multiple of l(n) and 2?
412
Let j be (-7)/((-21)/(-15)) - -9. Let g be (4/(-14))/(j/(-56)). What is the common denominator of ((-42)/(-10) - g)*-27 and -15/4?
20
Suppose 0 = -5*d - 13*d - 9882. Let b = d + 575. Suppose 33 = 2*q + h, 4*h = -4*q - 0*h + 68. Calculate the lowest common multiple of b and q.
208
Suppose 0 = 6*k - 3*k + 54. What is the common denominator of 81/40 and (-5)/2*-2 - (-85)/k?
360
Let o = -417 + 415. What is the lowest common multiple of 12 and (3 + 2/3)/(o/(-12))?
132
Let h be ((-10619)/(-12) - 0) + -1. Suppose -46*u = -83*u - 32671. Let i = h + u. Find the common denominator of 127/24 and i.
24
Calculate the common denominator of (-127 + -1)*(-1)/(-182) and ((-2)/19 + (9 - 13146/1463))*414/126.
1001
What is the common denominator of (38/(-42) - -1)/((-300)/6160*-6) and 20/33?
1485
Let x = -432 + 297. Find the common denominator of -13/71 and ((-62)/24)/((-15)/x).
284
Suppose 19474*m + 160 = 19490*m. What is the lowest common multiple of m and 606?
3030
Let n = -7637 + 7736. Calculate the smallest common multiple of 1122 and n.
3366
Let m = 145300 + -52307839/360. Let s = -277 - -5011/18. What is the common denominator of m and s?
360
Let q = -8 + 45/8. Suppose -32 = 3*h + 94. Find the common denominator of 2 + (-33)/h + -2 and q.
56
Let a be ((-22121)/(-55))/(42/(-10) + 3). Let f = 330 + a. Find the common denominator of 75/22 and f.
66
Let t = -101 - -104. Suppose -l = -t*l + 10. Calculate the common denominator of 7/15 and (-543)/(-54) + l/(-1).
90
Let a = 89 - 84. Calculate the least common multiple of 5 - (-7 + 4 + 4) and a*(-1 - -2) + 6.
44
Suppose 0 = 163*t + 2033 - 12657 - 5187. Calculate the least common multiple of 64 and t.
6208
Find the common denominator of 137/90 - (-2)/4 and ((84/250)/7)/((-6)/290).
225
Suppose -249 = 14*r + 17. Find the common denominator of ((-20634)/(-396))/r - -3 and -74/9.
198
Let k be 105931/148 - (-1)/4. Let m = k + -684. What is the lowest common multiple of 116 and m?
928
Suppose -6*y - 48 = -12*y. Let t = y + -5. Calculate the lowest common multiple of t and 437.
1311
Let w(a) = 6*a**2 - 6*a + 5. Suppose 184 = 6*v - v - 3*i, 3*v - 102 = -i. What is the least common multiple of w(4) and v?
385
Find the common denominator of -25/1203 and (378/8 + 15)/126.
67368
Let x = -88/2962