1/650 + -558. Let d = o - x. Find the common denominator of 49/6 and d.
12
Let l = 1375892387453/4880 - 281945159. Let c = l + -13/976. Calculate the common denominator of c and -109/14.
140
Let n = -136156 + 11437241/84. What is the common denominator of n and -27/10?
420
Let s(n) = 3*n**3 + 3*n**2 - 6*n**3 - 24 + 4*n**3 + n + 6*n**2. What is the lowest common multiple of s(-7) and 9?
603
Let k(g) = 7*g**2 - 3. What is the smallest common multiple of k(-3) and 165?
660
Let z = -22346/1595 + -104/145. Let b = z - -3951/154. Let j = b - -95/7. What is the common denominator of 35 and j?
2
Suppose -516 = 10*v - 616. Calculate the lowest common multiple of (-42)/(-2 + -1) - -2 and v.
80
Let i(b) = -2*b**3 - b**2 - 3*b + 2. Suppose t + 3*s = 2*t - 16, -4*t + 3*s + 28 = 0. Let u be i(t). Calculate the common denominator of 2/7 - 502/u and -52/11.
11
Let q(m) = m - 2. Let a be q(-6). What is the common denominator of -35/18 and (81/a)/(10/(-4))?
180
Suppose 0*m = 4*b + 3*m - 75, -5*b = 5*m - 95. Suppose 2*u = 4, -4*k - 10 = u - 36. Let j(i) = 4*i - 19. Calculate the least common multiple of j(k) and b.
90
Let r be 1/(-3) - (-28)/(-6). Suppose 0 = 4*t - 4*k + 36, -53 = 5*t - 6*k + 9*k. Calculate the common denominator of 26 and (-12)/r - (-6)/t.
5
Let k = 1/1418 - -29067/2836. Let z = -8801 - -105533/12. Calculate the common denominator of k and z.
12
Suppose -4*w + 8*w + 16 = -x, 18 = 2*x - 2*w. Calculate the lowest common multiple of x and 9.
36
Suppose -4*o - 5*d + 103 = 0, -3*o + 5*d = o - 113. Calculate the least common multiple of o and ((-54)/(-24)*-2 + (6 - 1))*18.
27
Let o = 5 + 4. Suppose o*l - 9 = 6*l. Let t = 14 - l. Calculate the lowest common multiple of t and 8.
88
Suppose -4*q + 11 = 5*l, -2*l + 4*l = -q + 2. Suppose -14 - 2 = -q*t. Suppose -t*m - 72 = 4*n, 9 = -2*n - n. What is the common denominator of 87/8 and m?
8
Calculate the common denominator of (63/280)/3*(-129)/(-9) and -101/4.
40
Let h = -290 + 7469/26. Let b(x) = -2*x**3 + 10*x**2 + 26*x + 8. Let s be b(8). Find the common denominator of (-16)/(-168) - 2630/s and h.
52
Let h(d) = -3*d**2 + 2*d**2 - 4*d + 2 - 2 + d**3. Let v be h(3). Calculate the common denominator of 17/16 and (68/(-180))/(v/(-15)).
144
Let l be (0 - (-152)/12)*-15. Let v be l/(-25) + (-2)/(-5). Find the common denominator of (6 - v)*13/(-16) and 9/5.
40
Let n be 1/(-4) - 577242/(-8). Let x be (-3)/(-6) - n/144350. Let y = 1486829/173220 - x. Calculate the common denominator of y and -109/20.
60
Let q = -1212871/36 - -33688. What is the common denominator of 81/80 and q?
720
Let i(l) = l**3 + 17*l**2 - 61*l + 28. Calculate the least common multiple of 24 and i(-20).
48
Suppose 4 = -0*t + t. Suppose t*n - 32 = -0*n. Suppose k - 3 = -1. Calculate the least common multiple of k and n.
8
Let w(q) = q**3 - 12*q**2 + 9*q + 33. Suppose -5*h = 2*v - 6*v - 71, 0 = -h + 3*v + 23. What is the lowest common multiple of w(h) and 6?
66
Let l be 10 - (0 + 0/4). Suppose 3*r + 0*r - l = -4*n, 4*r - 3*n - 5 = 0. Find the common denominator of r/(-3) + (-356)/(-24) and 61/6.
6
Let b be 364/6*-1*(-15)/4. Let n = b + -189. Find the common denominator of n and 27/8.
8
Let q = -4915 - -88501/18. Suppose 2*x + 92 = x - n, 2*x + 189 = -3*n. Calculate the common denominator of x/99*6/(-4) and q.
198
What is the common denominator of (14/(-115))/(27/225) and -44/207?
207
Let x(v) = v + 20. Let f be (-943)/69 - 2/(-12)*-2. Let a = 28 + f. Calculate the least common multiple of x(0) and a.
140
Let l = -110797/5 - -1322399/60. Let w = 127 + l. Calculate the common denominator of w and ((-249)/6)/(-1*11).
132
Let x = -1/2313 + -11050/2313. Let o be 658/(-21)*9/240. Let q = 73/8 - o. Find the common denominator of x and q.
90
Suppose 0 = 4*q - v - 451, 656 = 5*q + 2*v + 76. What is the smallest common multiple of 6 and q?
114
Let f be 9 - (5 + 0) - 7. Calculate the common denominator of 7/12 and (f/(-10))/((-12)/690).
12
What is the common denominator of 29/60 and 11/66 + 762/81 - 7?
540
Suppose -193 = -12*u + 191. Calculate the least common multiple of u and 18.
288
Let b be 458/3*(-186)/(-56). Let h be ((-3)/(-2))/((-9)/3048). Let l = b + h. What is the common denominator of -89/2 and l?
14
Let t(s) be the third derivative of s**5/15 - 2*s**3/3 - 4*s**2. Calculate the lowest common multiple of 4 and t(-2).
12
Calculate the common denominator of -21/472 and 4 - ((-74)/(-6))/(8/18).
472
Let l = -534 - -598. What is the smallest common multiple of 88 and l?
704
Let r(k) = 10*k + 344. Calculate the smallest common multiple of 6 and r(-26).
84
Let w(h) = h**2 - 5. Let p be w(-5). Let i(k) = k**3 - 17*k**2 + 8. Let t be i(17). Calculate the common denominator of (6 - p)*11/t and 97/6.
12
Let s = 9 - 19. Let w be (8/s)/((-2)/5). Suppose -2*i = 5*x - 10 - 21, 4*i = 2*x + w. What is the lowest common multiple of x and 11?
55
Let t(b) = -2*b**3 - b**2 + 5*b - 3. Let r be t(-3). Let j = 16 + -4. Calculate the lowest common multiple of j and (-2*(-2)/6)/(9/r).
12
Let n(h) = h**3 + 17*h**2 - 57*h - 17. Let d be n(-20). Let t be (692/(-6))/((-4)/6). Calculate the common denominator of t/d - (-4)/(-7) and 65/16.
176
Find the common denominator of 155/66 and 4/936*(-330)/4.
1716
Let c = 0 + -4. Let j be c/((-8)/(-2)) - 4. What is the common denominator of -61/8 and -1*((-22)/j + -2)?
40
Let k = 535/7 + -4331/56. Find the common denominator of k and 83/84.
168
Let z = 121263/103900 + 3/1039. What is the common denominator of -69/110 and z?
1100
Suppose a + 4*a - 10 = 0. Suppose 0 = -x + 4*x - 33. Suppose -p - 4*w + 2 = -6*p, -2*p - x = -5*w. Calculate the least common multiple of a and p.
2
Suppose 56 = 3*l - b, -4*l = l + b - 104. Calculate the least common multiple of l and 148.
740
Let v = 27177/80 + -1722/5. Calculate the common denominator of v and 2/(-4)*(-847)/(-35).
80
Let l(g) = g**3 + g - 1. Suppose 1 - 3 = -2*k. Let z be l(k). What is the lowest common multiple of 86 and (-5 + -19)*z/(-2)?
516
Let h(n) be the second derivative of n**4/4 - n**3/6 + n**2/2 + 3*n. Let g be h(1). Suppose -3*s = g - 9. What is the lowest common multiple of 4 and s?
4
Let w = -28727 + 1493873/52. Find the common denominator of w and 23/164.
2132
Let j = -21 + 87. Suppose -z = -4*y - 2, -4*y - 2 = -5*z + 8. Calculate the lowest common multiple of z and j.
66
Suppose 2 - 6 = -4*n. Let o(g) = 34*g**3 + g**2 + g - 1. Let h be o(n). What is the smallest common multiple of 18 and ((-220)/h)/(4/(-14))?
198
Let u = 2/21 + 55/84. Let d = -1961/45 + 430/9. What is the common denominator of d and u?
20
Let i = 634081/3578226 - -16/7549. Calculate the common denominator of -9/7 and i.
3318
Suppose 0 = 3*w - 4*r + 20, -r = 4*w + 1 - 6. Suppose w = -4*j - 2*j. Calculate the common denominator of 29/9 and 70/(-4) - j/(-7).
18
Let z = -1692/59 - -154231/5664. Find the common denominator of -43/108 and z.
864
Let h(u) = u**3 + 32*u**2 + 17*u - 146. Calculate the lowest common multiple of 352 and h(-31).
3168
Let i(l) = -12*l + 15 + l - 30 + 4. What is the least common multiple of 27 and i(-4)?
297
Let x(g) = g + 21. Suppose 0 = -5*v + a - 6*a - 90, 0 = 3*v + 2*a + 50. Let s(i) = -i**2 + 8*i + 4. What is the smallest common multiple of x(v) and s(7)?
77
Calculate the smallest common multiple of (0 - 1)/(1432/360 - 4) and 54.
270
Let u(t) = -17*t + 619. Suppose 3*i + 2*i - 40 = 0. Calculate the lowest common multiple of u(36) and i.
56
Let a be 1493990/(-110040) - 1/(-3). Let u be (-5592)/13755 - (-2)/5. Let t = a + u. Find the common denominator of t and 61/3.
12
Find the common denominator of 1134/(-2760) + (-8)/5 + 2 and 57/5.
460
Let a = 1/51666315 + -29715020039/3719974680. Let j = 19/216 + a. Calculate the common denominator of j and 61/8.
40
Let j = -31137/15158 + 6/689. Calculate the common denominator of -5/44 and j.
44
Suppose 0*i = -i + 10. Let z(l) = 2*l**3 - 61*l**2 - 31*l + 34. Calculate the smallest common multiple of i and z(31).
170
Let j = 14148 + -169643/12. What is the common denominator of -77/24 and j?
24
Let m(i) = i**2 - 11*i + 8. Let w be m(10). Let q be (w/(-2))/((-1)/1). Calculate the least common multiple of 11 and (q/1)/((-3)/33).
11
Let i(o) = 6*o**2 + 3*o - 9. Let b be i(3). Suppose 30 = 4*g - b. What is the least common multiple of g and 33?
231