(9/(-139)).
48
Let z(v) = v**3 + 6*v**2 - 7*v - 8. Let a be z(-6). Suppose -a = -4*u + 10. What is the lowest common multiple of u and 84/(-28)*7/(-3)?
77
Let l be (-40971)/30 - (-1)/(-2). Let d = l + 1374. Calculate the common denominator of 41/22 and d.
110
Let q = 231085/36 - 25707/4. Let m be 6/10 + (-1219)/115. What is the common denominator of 4/m - (-395)/(-100) and q?
180
Let z = 1118/7 + -8377/56. Calculate the common denominator of -22/439 and z.
3512
What is the common denominator of -18*156/(-315) + -10 and -1/160?
1120
Let a(s) = s + 9. Let w(d) be the first derivative of d**3/3 + 7*d**2/2 + 3*d - 1. Calculate the smallest common multiple of a(2) and w(-7).
33
Suppose o + o - n = 1236, 3*n = -o + 618. Calculate the common denominator of 11/12 and (-24)/(-108)*o/8.
12
Suppose 0 = 5*d - 2*j - 58 - 626, -2*d + 276 = -2*j. What is the smallest common multiple of 306 and d?
1224
Let b(w) = -2084985*w - 1. Let a be b(-9). Let d = a + -5967234853/318. Let c = d - 4/159. What is the common denominator of c and -47/7?
14
Suppose 38 + 170 = 4*w. Suppose 0 = 3*j - 0*y - 2*y + w, 3*y + 57 = -3*j. Find the common denominator of (-18 - j) + (-134)/(-4) and -65/3.
6
Let t(o) = o**2 - 7*o + 1. Let i be t(8). Suppose -18 = -q + 5*r, -q + 3*r + 5 = -i. What is the smallest common multiple of (10 - 2)*2 + 2 and q?
72
What is the common denominator of 131/90 and (8 + 104/(-16))*22/(-23)?
2070
Suppose -5*f = 5 - 55. Let p be (-4)/f + (-312)/20. Calculate the lowest common multiple of ((-26)/(-3))/(p/(-24)) and 10.
130
Let j = -460/51 + 16879/1632. What is the common denominator of j and -5/88?
1056
Let z(g) = -g + 4. Let l(s) = s - 3. Let y(o) = 4*l(o) + 5*z(o). Let w(m) = 3*m**2 - 16*m + 8. Let x be w(4). What is the lowest common multiple of 8 and y(x)?
16
Suppose -5*d - 25 = 0, 0 = -v + 4*v + 2*d + 7. What is the common denominator of (1/1)/(33/(-141)) and -2 + v + (-41)/(-3)?
33
What is the common denominator of -79/88 and (-5)/30 - 1041/990?
440
Let d = 838361/1054 - 13548/17. Calculate the common denominator of 69/34 and d.
1054
Suppose 2*l = 1 + 3. Let x be (0 - -2)/(10/165). Let m = x - 26. Calculate the smallest common multiple of m and l.
14
Let h(x) be the second derivative of -x**3/6 - 2*x**2 - x. Let y be h(-3). What is the common denominator of -41/8 and y/2 - (-116)/22?
88
Let l(r) = 3*r**2 + 8*r + 10. What is the lowest common multiple of 2 and l(-4)?
26
Suppose 2*l + 5 = 7. Let s = -4 + 23. Suppose -4*k = 4*c - 44, -2*k - 2*c + s = -c. What is the least common multiple of k and l?
8
Find the common denominator of -87/4 and ((-6)/180 - 0)/(6/(-295)).
36
Let r = -14347 - -401631/28. Find the common denominator of -43/98 and r.
196
Let f be 0 - -12 - (-9 - -5). Let x = 43 - 419. Calculate the common denominator of 59/18 and (x/24)/(f/(-3)).
144
Let m = -22 + 18. Let d(j) = -j**2 - 5*j + 1. Suppose 21 = 3*q + 3*r, -4*q + 5*q + 5*r + 1 = 0. Calculate the lowest common multiple of d(m) and q.
45
What is the common denominator of 11/469 and (24 - 15) + 626/(-56)?
1876
Suppose 4*m + 11 + 100 = -5*z, -2*z = -2. Suppose -2*n + 7*p - 12 = 0, p = -4*n - 36 - 18. Let f = n - m. Calculate the least common multiple of f and 16.
16
Let b be (27 - 0)/(2/(-22)). Let n = b - -458. Suppose 3*z - 38 = -n. What is the common denominator of 95/8 and z?
8
Let h(g) be the first derivative of g**4/4 - 5*g**3/3 - 2*g**2 - 1. What is the lowest common multiple of h(6) and 4/(-4) - (-11 - 2)?
12
Find the common denominator of -2 + (-3)/6*-95 and 5 - ((-301)/56 - -8).
8
Let t(j) = 2*j**3 + 3*j**3 + 5*j - 1 + 4*j**2 - 4*j**3. Let l be t(-3). Find the common denominator of 49 and (l/70)/(4/(-170)).
4
Let n(o) = -o**2 + 8*o + 2. Suppose 14*w - 19*w + 50 = 0. Let l be n(w). Calculate the common denominator of (-4)/l + 1414/36 and -37/9.
18
Calculate the common denominator of 13/89 and 1/5 + (-5074)/1180.
890
Suppose 0 = -0*s - 5*s - 4*z - 2008, 0 = -3*s - 5*z - 1197. Find the common denominator of 60/(-30) + 56/22 and (s/24)/(5/(-3)).
110
Let z = -72041339/630 + 114351. What is the common denominator of -81/4 and z?
1260
Calculate the common denominator of ((-2)/(160/(-4)))/((-12)/435) and -3 - (-1 + (-556)/120).
240
Let f(c) = 3*c - 10. Let w be f(12). Let y = -24 + w. Calculate the least common multiple of 26 and y.
26
Let u be (38/(-12))/((-4 - -7)/(-12)). Let d = -325/6 + u. Calculate the common denominator of -65/18 and d.
18
What is the smallest common multiple of (104/(-28))/((-10)/70) and 40?
520
Let u(n) = -n**3 - 13*n**2 + 10. Let c(a) = a**2 - 8*a + 2. Let s be c(3). Calculate the lowest common multiple of u(s) and 4.
20
Let u be (9441/(-48))/(12/(-152)) + -1. Let g = u + -2487. What is the common denominator of 57/10 and g?
40
Let c(y) = y**2 + 12*y - 11. Let j = 17 + -7. Let s = j + -4. What is the smallest common multiple of s and c(-15)?
102
What is the common denominator of 2/3 - 134/120 and 222/(-28) - ((-12)/3 + 3)?
140
Suppose -w + 94 = 4*w - 4*c, 92 = 4*w + c. Suppose w = b - 19. Let r = b + -17. Calculate the least common multiple of r and 6.
24
Let s = 14283/20 + -718. What is the common denominator of -53/56 and s?
280
Let y = -124/3 - -2273/60. Calculate the common denominator of y and (1742/78)/((-20)/6).
20
Let i be ((-115)/(-5))/((-2)/(-2)). Let s = -13 + i. What is the least common multiple of s and 12?
60
Suppose -3*d - 13260 = 2379. Let x = d - -8958. Let y = x + -15055/4. Find the common denominator of y and 25.
4
Let l be (-42)/14*(-164)/(-6). Let v = 1363/2 + -703. Find the common denominator of 14/(-7) + l/20 and v.
10
Calculate the common denominator of -82/63 and (-2)/(-4) + (-507)/462*1.
693
Suppose -2*z + 22 = -440. What is the smallest common multiple of z and 24?
1848
Let t = -196169/20 + 9814. Suppose 2*z - 4 = 0, 3*n - 20 = z - 100. Find the common denominator of ((-10)/6)/((-8)/n) and t.
60
Calculate the common denominator of 46/37 - 2/4 and (1660/(-135))/(-4)*(-63)/(-42).
666
Let p(i) be the third derivative of -i**5/60 - 3*i**4/4 + i**3/6 + 17*i**2. What is the common denominator of p(-16) and 52/7?
7
Suppose 2*d - 4*r + 2*r - 22 = 0, -r = 4*d - 29. Let i = 664 - 660. Calculate the least common multiple of d and i.
8
What is the common denominator of 9/((-2079)/(-22)) - (-1193)/2688 and -107/112?
896
Suppose -5*u = 2*m - 11, -u - 2 - 3 = -2*m. What is the least common multiple of 153 and u?
153
Suppose -24*x = -18*x + 450. What is the common denominator of 5 - 40/x*-4 and -1/6?
30
Suppose 0*v - 2*v + 76 = 52. Suppose -5*o = -8*i + 3*i + 145, 5*i = 3*o + 155. What is the lowest common multiple of v and i?
204
Let g = 3001/188 + -57/47. What is the common denominator of 91/16 and g?
16
Let o(k) = 20*k. Let a(c) = 10 + 2*c**3 - 14*c**2 - 7*c - 27*c**2 + 54*c**2. Calculate the lowest common multiple of a(-7) and o(1).
20
Suppose -4*i = 4*u + 4, i + 3 = -2*u - 2. What is the smallest common multiple of (495/(-220))/((-6)/16) and i?
6
Suppose 5*j = 2*n - 203, -4*j + 0*n = 4*n + 140. Let o = -30 - -5. Find the common denominator of -117/10 and j*(1 - o/(-18)).
30
Suppose 3*g - 24 = 2*g. Let b = g - 10. What is the least common multiple of b and 14?
14
Let h = 737 - 725. Let a(z) = 3*z**2 - z. Calculate the least common multiple of a(2) and h.
60
Let x(m) = -m**2 + 4*m + 4. Let h be x(6). Let f = h + 8. Suppose f*n + 2*n = 12. What is the lowest common multiple of 2 and n?
6
Suppose 406 = 8*r + 86. Calculate the least common multiple of r and 104.
520
Let w = 2/1043 - 74061/4172. Find the common denominator of w and -3*(0 + 67/(-12)).
4
Let p = -608892569/2 + 28641126109/95. Let z = p + 2960723. Let i = z - -1/95. Find the common denominator of i and -48/7.
14
Let c = 486 + 2013. Let v = 519 - c. Find the common denominator of (-6)/(-33) - (-921)/v and 65/18.
180
Suppose 3*s = 84 - 24. Let w(z) = -13*z - 2. Suppose 4*q = 4*h - 8, 0*q - 4*h - 2 = q. What is the smallest common multiple of w(q) and s?
120
Let l = -9 + 12. Suppose 0 = -2*m - l*v + 9, -2*m + v + 8 = 5*v. Suppose -60 + 186 = 7*z. What is the least common multiple of m and z?
18
Suppose 0 = -66*g + 105*g - 6435. What is the smallest common multiple of 198 and g?
990
Let y = -8179/9030 - 17/4515. What is the common denominator of y and 19/30?
210
Let p = 16 + 13. Sup