t u(s) = 44*s + 3*s**2 - 18*s - 23*s - s**2 + 3. What is the least common multiple of 9 and u(-2)?
45
Let r = 8 - 4. What is the common denominator of (-93)/(-60) - -1 - r and ((-7)/(-24))/(2/3)?
80
Let i = -9 - -34. What is the common denominator of 5/i + 36/(-230) and (221/68)/(-13) + 398/88?
253
Let r(u) = 2*u**2 - 12*u - 6. What is the least common multiple of 4 and r(7)?
8
What is the lowest common multiple of 7 and 4*(-1)/6 + (-4438)/(-42)?
105
What is the common denominator of (-7)/(-14) - (-15)/(-81) and -101/168?
1512
Let i = 2/4602529 - 65489385185/101255638. Let p = 1041 - 393. Let w = i + p. What is the common denominator of w and -59/10?
110
Let b = 24 - 16. Suppose -5*l = -7 - 3. Suppose 0 = -l*q + 4*o + 60, 0*q - 72 = -4*q - 4*o. What is the smallest common multiple of q and b?
88
Let h = -1137 - -1164. What is the smallest common multiple of h and 81?
81
What is the common denominator of (-6 - -6) + 552/(-128) and 97/98?
784
Let c = 91 + -65. Let d be (-3)/(-1) - (-3 + 2 + 48). Find the common denominator of c and d/6*-3 - 8/6.
3
Let b(z) = z**3 + 13*z**2 + 16*z - 16. What is the smallest common multiple of 5 and b(-11)?
50
Let y = -2325293/304 + 7649. What is the common denominator of 51/4 and y?
304
Suppose -4*s + 9*s = 10. Suppose 0 = 4*i - 14 - s. Calculate the lowest common multiple of 12 and i.
12
Let l(h) = h**2 + 5*h + 3. Let a be l(-5). What is the common denominator of 771/(-90) - 4/a and -42/5?
10
Let b(q) = 3*q**3 + 5*q**2 - 2*q + 1. Let j be b(3). Let m be j*15/3 + -3. Let v = m - 4783/8. Find the common denominator of v and 15/4.
8
Suppose -3*a + 6 = 0, -3*u + a = 43 + 13. Let z = -4859 - -106807/22. Calculate the common denominator of z and (-391)/(-180) + 4/u.
220
What is the least common multiple of ((-2)/(-6))/((-25479)/6372 + 4) and 18?
2124
Let g = 1350493/93 + -14522. Find the common denominator of g and 121/36.
1116
Let p be -1*-1*(-1)/(-1). Let n(m) be the second derivative of m**5/5 + m**4/6 - m**3/3 + m**2/2 + 42*m. Calculate the smallest common multiple of 11 and n(p).
55
Let b = 1168 - 1163. Calculate the lowest common multiple of (2/5)/((-3)/(-75)) and b.
10
Let y(l) = -10*l + 4. Let k be y(4). Let a = -17 - k. Let h = 11086 + -11085. What is the lowest common multiple of a and h?
19
Let i = -20921 + 460371/22. Find the common denominator of ((-42)/(-24))/(-7) - 27/(-20) and i.
110
Let b(f) = -2*f**2 + 27*f - 15. Calculate the least common multiple of 24 and b(11).
120
Let q = -144555/22 + 6569. Suppose -3*n - 3*a - 45 = 0, -n - 4*a = -2*n - 35. Calculate the common denominator of q and (-24)/(-20)*n/(-4).
110
Let x = 5317/1815 - -186/121. What is the common denominator of x and 491/90 + 6/(-27)?
30
Suppose -9 = -5*x + 11. Suppose 0 = -3*f + 5*v - 10*v + 22, 3*f - 4 = x*v. Suppose -102*t + 100*t = -36. Calculate the lowest common multiple of t and f.
36
Calculate the smallest common multiple of 110 and -3 + -1 - (-31 - 16/(-8)).
550
Suppose 12*m - 8*m - 569 = -5*q, -3*q - 2*m = -343. What is the smallest common multiple of 143 and q?
1287
Suppose 0 = -4*b + 16 - 0. Let l be (-18)/(-12)*(-4)/(-3). Suppose -t - l = t, 0 = 2*i + 5*t - 15. What is the smallest common multiple of i and b?
20
Suppose 4*g - 103 = -3*s + 2*s, -29 = -2*g - 5*s. Let w = 29 - 20. What is the smallest common multiple of w and g?
27
Let l = 82549/66900 - 16/669. What is the common denominator of l and -115/12?
300
Let l be (-1)/((-6)/21 - (-87)/231). Let x(o) = -o**3 - 11*o**2 - 3*o - 12. What is the least common multiple of 15 and x(l)?
105
Let y(c) = 54*c**2 + 13*c + 18. Let l be y(14). Let h = l + -64853/6. Calculate the common denominator of 9 and h.
6
Suppose 4*m + 2*i - 5 = m, 0 = -5*m - 5*i + 10. Let l = 44 - 39. Calculate the smallest common multiple of m and l.
5
Let y be -1 - (2 - (-2842)/4). Let x be (-1380)/36*(-38)/2. Let b = y + x. Find the common denominator of -29/2 and b.
6
Let b = -3285288109/7817806524 - 1/3483871. Let r = -2/561 - b. Find the common denominator of r and 174/(-8)*1/15.
60
Let o(g) = 317*g - 2. Let j be o(3). Let r be (-3)/7 + j/91. Find the common denominator of -115/18 and 1 - r*3/36.
18
Let g = -497943/910 + 7130/13. Calculate the common denominator of g and -3 + 3 + (-102)/(-32).
560
Suppose r - h + 2 - 9 = 0, r - 4*h - 10 = 0. What is the common denominator of 3 - (3 - r/8) and -103/12?
12
Suppose 0 = 4*z + 4*q - 185320, -4*q + 182730 = 5*z - 48925. Suppose 3*k = -2*k - z. Let r = k - -203909/22. Find the common denominator of -19/6 and r.
66
Let z = 615/298 - 4078/6705. Calculate the common denominator of -19/54 and z.
270
Suppose -3*w + 5 = -1. Find the common denominator of -89/10 and w/(-10) + 1668/40.
10
Suppose -27 = -4*x - 107. Calculate the common denominator of -109/24 and 150/(-16)*x/(-45).
24
Suppose -3*g = 1 - 10. Let r = 4 - g. Find the common denominator of r/8*(-385)/(-22) and 131/12.
48
Let k = -602627/72 + 8370. Calculate the common denominator of 125/36 and k.
72
Suppose 7*d = 18*d - 242. Calculate the least common multiple of d and 164.
1804
Let q(c) = -c**3 + 2*c**2 + 5*c + 1. Calculate the smallest common multiple of 3 and q(3).
21
Calculate the common denominator of 4 - (7 - 424/264) and -59/88.
264
Let w = 17 + -16. Let s(m) = 21*m**2 + 6*m + 3. Calculate the least common multiple of w and s(-1).
18
Let t(s) = -s**2 + 11*s - 1. What is the lowest common multiple of t(10) and (10/3)/(36/54)?
45
Suppose 0 = 4*x - 5*i - 5101, 2*x = -3*x - 4*i + 6366. Suppose 2*u - u - x = 0. Calculate the common denominator of 89/6 and (u/44)/7*1.
66
Suppose 0 = -2*m - 4*q + 4, -5*m + 4*q - 14 = 2*q. Let i be m/(-5) + 324/15. Calculate the common denominator of (-246)/(-40) - i/55 and -3/10.
20
Suppose 0 = 2*o + 5*s - 24, 5*o = -3*s + 4*s + 6. Suppose f - o*f - 3 = 0, -3*w - 702 = -2*f. Let a = 1959/8 + w. Calculate the common denominator of -4 and a.
8
Let c(q) be the first derivative of q**4/2 - 5*q**3/3 + 2*q**2 - 10*q - 4. Let p be c(9). Let j = p + -13998/13. Find the common denominator of j and 137/6.
78
Suppose -4*v + 129 = a, v - 2*v + 30 = a. Let i = -20 + v. Suppose -8*h + i*h = 70. What is the lowest common multiple of h and 2?
14
Let t be 2/(-2 + 3)*(-190)/(-4260). Let u = 5611/8733 + t. What is the common denominator of -3/5 and u?
205
Let v = -458 + 460. Let n(r) = -r**3 + 9*r**2 - 6*r + 2. Calculate the lowest common multiple of v and n(8).
18
Suppose -3*a - 1112 = -4160. Let o = 14191/14 - a. Let y = 399/16 - 25. Calculate the common denominator of y and o.
112
Let z = 9375/833 + -183/17. Let n = 3157645599/392 - 8055227. Let t = z - n. Calculate the common denominator of -30/11 and t.
88
Let g(b) = -3*b + 2. Let i(k) = 6*k - 5. Let j(t) = 5*g(t) + 2*i(t). Let m be j(-4). What is the common denominator of ((-6)/m)/((-20)/214) and -17/12?
60
Calculate the common denominator of 32/27 and (-3 + 0)*2470/(-975).
135
Let y = 226 - 216. What is the lowest common multiple of y and 25?
50
Suppose n = 3*t - 22 + 8, -5*t + 18 = n. Suppose 27 = -0*u + 5*u - 4*i, -2*u = 3*i - 20. Calculate the smallest common multiple of u and t.
28
Suppose -3*s + 6 = -2*s. Suppose -32*a + y = -36*a + 195, -57 = -a - 3*y. What is the lowest common multiple of a and s?
48
Let o = 6/331 - 65/21846. What is the common denominator of 37/77 and o?
462
Let b = 31186196/111 + -60378767569/214896. Let x = -1/1936 + b. Find the common denominator of x and ((-600)/9)/4 - 2.
3
Let q(i) = 8*i + 57. What is the lowest common multiple of q(-7) and 42?
42
Suppose -2*y + 181 = -s - 0*s, -2*s = -5*y + 451. Calculate the common denominator of (-49)/(-14) - 4 - y/(-18) and -16.
9
Suppose 3*k - 463 = -5*i + 1, k - 94 = -i. Calculate the lowest common multiple of i and 49.
637
Let w(h) be the second derivative of h**4/12 + h**3/2 + 2*h**2 + 6*h. Suppose -4*j + 3*j + 2 = 0. Calculate the least common multiple of w(-6) and j.
22
Let v(n) = 6*n**3 + n**2 - 3*n + 4. Let u be v(2). Suppose 4*j - u + 6 = 0. What is the lowest common multiple of j and 11?
11
Let b = 1/375 - -1417/31125. Let l = b + -1253/166. Let u = -143 + 749/5. Find the common denominator of l and u.
10
Let b be 8/(-2 - (0 - 0)). What is the common denominator of (-1665)/(-20)*b/30 and 25/24?
120
Let w = 20/133 - 4591/6650. Calculate the common denominat