**3 + 4*r**2 - 50*r - 34. Calculate the least common multiple of 2090 and x(-9).
2090
Suppose 0 = -5*s - 2*h + 35, 25 = 4*s - 2*s + 3*h. Suppose -s = -3*o + 25. Let l = 138456 - 138446. Calculate the least common multiple of l and o.
10
Let w = -8295 + 99433/12. Let p = -7457 + 246008/33. Calculate the common denominator of p and w.
132
What is the common denominator of ((-6)/420*-2)/(6/2*-1) and -131/126?
630
Suppose 7*w - 2*w = 3015. Calculate the least common multiple of w and ((-332)/249)/((-155)/30 - -5).
4824
Suppose a - 5*v = 15, -4*a + 3*v + 57 = -a. What is the common denominator of ((-278)/(-36))/(2/(-6)) - -2 and ((-34)/a)/(24/(-5))?
48
Let a be ((-40)/3)/((-2)/3). Let g = a - 19. Let x = 8 + g. What is the least common multiple of x and 9?
9
Let h = 42746 + -1795615/42. Let z = h - -50/7. Calculate the common denominator of z and -145/144.
1008
Suppose -21 = -4*j - 3*m, -4*j - j + 60 = -3*m. Suppose -j*a + 172 = -5*a. Find the common denominator of -79/24 and a/(-2)*(-30)/315.
168
Let h(i) = 3*i**3 - 459*i**2 - 458*i - 538. Suppose -5*z = 5*v - 31 + 11, -5*z - 4*v + 19 = 0. Calculate the least common multiple of h(154) and z.
78
Let p(j) = -246*j - 7092. Let o = -15 + 21. What is the smallest common multiple of p(-29) and (-104)/(-6) - o/(-9)?
126
Let w = -572443/179600 + -2/11225. Let p = w + 5/112. Calculate the common denominator of 1*((-154)/(-8) + 21 + -22) and p.
28
Let n = 2/9323029 - 1184032855/38093896494. Find the common denominator of -103/3178 and n.
28602
Let v = 277821/29 - 9585. Let c = v - -1291/406. What is the common denominator of 1443/(-30) - (-2)/(-5) and c?
14
Let n(k) = -2*k**3 - k + 2. Let t be n(1). Let h be (t/2)/((-785)/112 + 7). Find the common denominator of (7 - h/16)*(-93)/(-175) and -17/10.
50
Let a be 2 + 22/(-14) + (-90779024)/344842498. Let s = a + -1/29081. Calculate the common denominator of s and 5/44.
484
Suppose 17*m - 23800 = 14450. Let p = -78783/35 + m. What is the common denominator of p and 59/56?
280
Let d = 265 + -229. Find the common denominator of 9/(-12)*-4 - 22/d and 15/46.
414
Let f(u) = -u**2 + 16*u + 52. Let y be f(-3). What is the common denominator of 40/9 and 145/15 + (-20)/8 - y?
18
Let x be ((-27668)/(-48))/((-4)/(-36)*-3). Let v = 1721 + x. What is the common denominator of v and 25/88?
88
Let a be (164/(-6))/(-1)*153/(-102). Let s = a + 30. Calculate the common denominator of 47/40 and (9/s - (1 + 0))*-1.
440
Find the common denominator of 11/212 and 848/(-384)*4 + 2.
636
Let a(l) = -l**3 - 6*l**2 - 7*l + 1. Let b = 25 - -4. Suppose 6*z = b + 7. Calculate the least common multiple of a(-5) and z.
66
Let q = 149 + -45. Suppose 2*y = 5*p + y - q, 5*p = -5*y + 110. What is the least common multiple of p and 15?
105
Suppose -3*x - 3*t = -42, 5*x + 414 = -2*t + 478. Let y(n) = n**3 - 7*n**2 + 8*n - 8. Calculate the smallest common multiple of y(7) and x.
48
Find the common denominator of 27/(-360)*-4 + -6 and 14/11*(-36)/14.
110
Let h(s) be the second derivative of s**4/6 - 2*s**3 - 6*s**2 - 47*s. Let z be h(7). Calculate the common denominator of 55/7 and (0 - (-6)/(-55))/(z/70).
77
Suppose 2*p + 25*p - 2000 = 5020. What is the least common multiple of 520 and p?
520
Suppose -34*n - 5701 + 7231 = 0. Calculate the common denominator of 1/4459 and n.
4459
Calculate the common denominator of -13/17 and ((-364)/(-39) - 9)/(19/14).
969
Let d(q) = 5*q - 18. Let r be d(4). Suppose 0 = r*m + 2*m + 240. What is the common denominator of (-53)/m + 6/9 and -31/2?
20
Suppose -4*j = c - 5182, -7*j + 4*c + 6488 = -2*j. Find the common denominator of -73/24 and 128/j*(-57)/(-10).
1080
Suppose 40 = 4*v + 4*c, v = 15*c - 11*c. What is the least common multiple of v and 748?
1496
Let l(m) = -99*m**3 + 2*m**2 + 428*m + 854. Calculate the lowest common multiple of l(-2) and 9.
2394
Let q(a) = -a**3 + a**2 + 2*a + 2. Let j(t) = 18*t**2 - 7*t + 20. Calculate the smallest common multiple of j(2) and q(0).
78
Suppose -11*a = -682 + 517. Suppose -3*y - 3*v = 2*v - 160, -v + 52 = y. What is the lowest common multiple of y and a?
150
Suppose -3*j + 7*j - 2*y - 480 = 0, 0 = y + 2. What is the least common multiple of j and 140?
2380
Let w(v) = -9*v - 90. Suppose 30*t + 269 = -61. Calculate the lowest common multiple of w(t) and 27.
27
Let b = -368 - -358. What is the common denominator of (714/(-45) - b) + (-10)/(-4) and -83/30?
30
Let z = 472231/30 - 15743. Find the common denominator of 33/350 and z.
1050
Let o(y) = 138*y**2 - 137*y + 1358. Calculate the lowest common multiple of 9 and o(10).
13788
Let q = 278 - 282. Let i(v) = -71*v - 60. What is the smallest common multiple of i(q) and 6?
672
Let n = 1836268897/24 + -76496102. Let i = n + -15098. Calculate the common denominator of -41/20 and i.
120
Suppose -3*b + 3*k + 0 = 3, -3*b + 4*k = 7. Suppose b*t + 19*h = 21*h + 20, -8 = 2*h. What is the smallest common multiple of t and 2?
4
Find the common denominator of (-40 - 6)*(-17)/18139 and 62/485.
5335
Let u = -31 - -64. Suppose 27*q - 33*q = -108. What is the least common multiple of u and q?
198
Let l = -3469 - -3942. What is the lowest common multiple of l and 110?
4730
Calculate the common denominator of 1508/(-130)*(-2)/(-102) and -26/561.
2805
Let h = 146 + -170. What is the common denominator of 21/80 and ((-33)/(-15))/(h/15)?
80
Suppose -3*z + z = -x + 52, 0 = -2*z - 2*x - 40. Let o = 6 + z. What is the common denominator of 2109/1080 + (-4)/o and 7/8?
40
Let j = 7569 - 7550. Calculate the smallest common multiple of j and 9.
171
Calculate the common denominator of 24/4 - (4 - (2 + 361/(-92))) and -41/690.
1380
Suppose -13*y + 10*y - 34*y + 183113 = 0. Calculate the lowest common multiple of 4242 and y.
29694
Suppose 5*r + 1747 = 277. What is the common denominator of 7/(r/12) + 335/168 and (-40)/(-3)*16/30?
72
Suppose -374 = 5*c - 3*g - 1545, -5*c + 5*g = -1165. What is the lowest common multiple of 354 and c?
708
What is the common denominator of -3/10 and (-12 - -4)*(-88)/(-360)*-1?
90
Let l(n) = -4*n**3 + 7*n**2 + 5*n + 27. Let i(a) = 3*a**3 - 6*a**2 - 3*a - 27. Let s(q) = 3*i(q) + 2*l(q). What is the smallest common multiple of s(5) and 256?
768
Let l = 298 - 274. Find the common denominator of -15/16 and l/36 + (-139)/114.
304
Suppose 21*x - 19 = -5*j + 23*x, -2*j - 5 = -5*x. Calculate the smallest common multiple of j and 64.
320
Calculate the common denominator of 1/(-7)*485/(-20) and (-1116)/(-7254) + 1501/468.
252
Suppose 0 = -78*x + 73*x + 875. Suppose -3*i + 9 = 0, 5*i - 1 - 5 = g. What is the least common multiple of 1 + 38/7 - 75/x and g?
18
Let j(r) = -r**3 - 71*r**2 + 23*r + 21. Calculate the smallest common multiple of j(-72) and 429.
39039
Let c = -266439 + 118755. Let d = c - -25697117/174. Calculate the common denominator of -17/33 and d.
1914
Let r = 8/5461 + 256155/349504. Calculate the common denominator of -81/856 and r.
6848
Calculate the common denominator of -32/11 and (44/14)/(2013/231).
671
Calculate the common denominator of (3 + 3)*(-12)/(-4104)*-20 and -39/323.
969
Suppose -i = 3*r - 212, -9*i - 421 = -11*i - 5*r. Calculate the lowest common multiple of 21 and i.
609
Let p(f) = 4*f**3 - 3*f**2 - 2*f - 3. Let k be p(3). Let y = 270/19 + -1692/95. Calculate the common denominator of (-8)/(-36) + (149/k)/1 and y.
120
Let t = 155530989/392 - 396763. Find the common denominator of 77/80 and t.
3920
What is the common denominator of (-33)/168 - -1*1 and (-585)/680 + (-2)/((-60)/45)?
952
What is the least common multiple of 31 and 25/(-2)*(306/(-45) + 2)?
1860
Let x = -1/79535 - 517216101/318140. Let g = x - -1606. Find the common denominator of g and ((-8)/(-364)*14)/((-2)/16).
52
Let t = 180 + -144. What is the least common multiple of t and (3/15 - 1)/((-28)/1120)?
288
What is the least common multiple of 1152 and (-6)/(-1) + (5 - 2)?
1152
Suppose 204*x - 193*x + 132 = 0. Find the common denominator of (-2)/7 + 957/(-252) and 40/48*x/200.
60
Let x(d) = 4*d**2 - 30*d + 40. Calculate the lowest common multiple of x(6) and 74.
148
Suppose 102 = -2*f - 4*b, f + f + 100 = -5*b. Let h = f - -67. What is the lowest common multiple of (1 - -2) + 13 + 2 and h?
36
What is the common denominator of 81/10966 and 9*(637/312)/(-49) - (-133)/88?
120626
Suppose 0*h + 3*h = 2