1122
Calculate the common denominator of (-1)/(-2 + (-242)/(-116)) and 414/(-140) + -2 + (-21)/(-35).
70
Let u(y) be the third derivative of -y**4/12 - y**3/6 + 2*y**2. Let q be u(-1). Calculate the common denominator of -7/16 and q/2 - (-280)/15.
48
Let b(r) = 13*r**2 - 17*r + 85. Calculate the lowest common multiple of 12 and b(4).
900
Let u = 33 + -28. Suppose 0 = -4*f - 2*l - 0*l + 24, -2*f - u*l = -20. What is the lowest common multiple of 11 and f?
55
Suppose -115*k = -66*k - 1176. What is the lowest common multiple of k and 15?
120
What is the common denominator of -109/10 and (6 + (-24739)/4186)/((-1)/2)?
1610
Let z = 64 + -58. Calculate the common denominator of 47/27 and 1/z*(-2546)/57.
27
Calculate the least common multiple of 3 and -15*(-2)/6 + (6 - 2).
9
Let l = 798683/90 + -8874. Calculate the common denominator of -85/6 and l.
90
Suppose t = y - 112 + 16, 0 = 2*y - 5*t - 201. Calculate the common denominator of (y/45)/(32/(-10)) and 63/8.
48
Suppose 0 = 2*n - 6*n + 8. Suppose -n*a = -31 + 3. What is the lowest common multiple of a and (6/(-5))/(6/(-20))?
28
Let f(q) = 5*q**3 - 29*q**2 - 4*q - 1. Calculate the lowest common multiple of f(6) and 19.
209
Calculate the least common multiple of 16 and (3696/(-36))/((-2)/6).
1232
Let z = -4823 - -19387/4. Let o be ((-20567)/2)/((-10)/(-1)). Let w = o - -1028. Calculate the common denominator of z and w.
20
Suppose 0 = -6*n + 2*n + 2*o - 2, n + o = 7. Find the common denominator of 819/18*n/16 and (-6)/(-3) + 59/10.
80
Let x = -1408 - -2692. Find the common denominator of 69/28 and (-2)/13 - x/(-1248).
56
Let d = 6934391/90 - 77048. Find the common denominator of -119/54 and d.
270
Let v = 22729/6 - 3807. Let t = v + 763/30. Find the common denominator of t and (703/114)/(6/4) - 1.
45
Let t(y) = -y**3 - 5*y**2 + 4*y - 17. Let f be t(-5). Let q = f - -55. What is the lowest common multiple of 14 and q?
126
Let t be 5/(-20) + (-577)/(-4). Calculate the least common multiple of 5 and t/16 - 2/(4/6).
30
What is the common denominator of -61/10 and (-217)/(-20) + (-125)/(-100)?
10
Let x = 568 - 12499/22. Calculate the common denominator of x and (-4)/(-10) + 387/120.
88
Suppose 0 = -b + 3, 0 = -4*q - 2*b - 3*b + 47. Suppose -q*d - 1330 = -3*d. Let t = d - -5869/22. Find the common denominator of -37/4 and t.
44
Suppose 2*c - 316 = -4*p, 365*c - 3*p = 370*c - 797. What is the lowest common multiple of c and 280?
1120
Let a(c) = -c**2 + 31*c + 48. What is the lowest common multiple of 18 and a(31)?
144
Suppose 0 = 4*d - 42 - 18. Calculate the smallest common multiple of 7 and d.
105
Let g = 3943 + -63047/16. Let d = 156755/14 - 11202. Find the common denominator of d and g.
112
Suppose 6*m = -9 + 105. Suppose 2*z + m = -3*n + 3*z, -3*z = -12. What is the common denominator of -31/9 and (-1)/n - 468/80?
45
Let l = 236 + -47. Calculate the common denominator of l/24 + -4 + 55/10 and -29/16.
16
Suppose 7 = 3*y - 3*v - 62, v + 44 = 2*y. Let j = y + -13. Calculate the least common multiple of 76 and j.
152
Let l(o) = 2*o**2 - 7*o. Let i be l(9). Let p = i + -52. What is the common denominator of 0 + (3 - p/(-9)) and -10/17?
153
Find the common denominator of 143/18 and 26/169 + (-1982)/208.
72
Suppose 0 = 27*t - 161 + 53. Suppose -7*i + 6*i + 2 = 0. What is the least common multiple of t and i?
4
Let x = 12769999/6 - 2120115. Let l = x + -8200. Calculate the common denominator of l and (-18)/5*4/(-3).
30
Let b be (-2)/4*(0 + -6). Let s be 1 - -8 - (b + -3). Calculate the least common multiple of 26 and s + -10 - (-6 - -1).
52
Let n be 87524412/((-15920)/9 - 2). Let d = n - -49424. Let x = d - -517969/63752. Find the common denominator of -75/82 and x.
328
Let w(h) = h**2 + 13*h + 23. Let o(i) = -i - 1. Let n(t) = 4*o(t) + w(t). What is the least common multiple of n(-6) and 10?
10
Let a = -34 + 39. Suppose 2*z = -a*i + 22, -i = -0*i - 2. Calculate the smallest common multiple of z and 22.
66
Suppose -3*l + 3*s = -9, l - s + 7 = -2*s. Let j be (42/(-117))/(l/(-6)). Let k = 261/182 + j. Find the common denominator of k and -29/16.
112
Calculate the lowest common multiple of (-75)/(-2)*208/78 and 80.
400
Suppose 2*w = -0*r + 3*r - 11, 4*r = 3*w + 14. What is the least common multiple of 666 and w?
666
Suppose -7*k - 15883 = -0*k. Let x = 11288/5 + k. Find the common denominator of x and -5/3.
15
Let f(u) = 2*u**3 + 16*u**2 + 12*u - 30. Calculate the lowest common multiple of f(-6) and 84.
84
Calculate the common denominator of 11/4 and 0 + 2904/640 - 4/(-10).
16
Suppose -60*m + 11600 = 1400. What is the least common multiple of 170 and m?
170
What is the smallest common multiple of 8 and (0 - 1/10) + 41/10?
8
Let p(i) = -i + 7. Let u be p(6). Suppose -5 - 23 = -6*h - 16. What is the smallest common multiple of u/(-2) + (-10)/(-4) and h?
2
Let y(i) = 6*i**2 - 17*i - 7. Calculate the least common multiple of 4 and y(5).
116
Let w be 5 - 1 - 21/7. Let h be 22*w*(-4)/8. Let z = h + 12. Calculate the least common multiple of z and 7.
7
Let q = 2535 - 27905/11. Calculate the common denominator of 41/110 and q.
110
Let q = 1/528899 + -892252919/161843094. Let l = q - 134/153. Find the common denominator of l and 67/18.
18
Calculate the common denominator of -4/5 and (-6)/1*19/(-93).
155
Let h(v) = v**3 + 21*v**2 - v - 3. What is the smallest common multiple of h(-21) and (25/(-5) - -3)*-20?
360
Suppose -m - 104 = -2*m + 2*z, 0 = z + 5. Let p = 184 - m. What is the smallest common multiple of 14 and p?
630
Let n = 9418 + -1958913/208. Find the common denominator of 37/260 and n.
1040
Suppose 0 = 2*f - 3*w - 0*w - 25, 4*f - 41 = -3*w. Calculate the least common multiple of f and -3 + (0 - (-13 - -7)).
33
Let v(y) = -y**3 - 5*y**2 + 7*y + 6. Let p be v(-6). Let h(o) = o**3 - 100. Let m be h(p). What is the common denominator of -21/20 and (-3)/18 - m/(-18)?
180
Let d(m) = 11109*m + 3. Let h be d(3). Let k = h + -1000007/30. Calculate the common denominator of 2 - (345/(-80) - -6) and k.
240
Let l(d) = 19*d - 5. What is the least common multiple of l(8) and 63?
441
Suppose -5*i - 143 - 67 = 0. Let n = 4 + i. Calculate the common denominator of -47/8 and n/10*5/(-8).
8
Let r(x) = 7*x - 19. Let g be r(3). Calculate the common denominator of (g - -1)/6 - (-146)/132 and -58/33.
33
Let j = -219 - -284. What is the smallest common multiple of j and 35?
455
Let p = 4607/6 + -2461/6. Let z = 363 - p. Calculate the common denominator of z and -88/15.
15
Find the common denominator of -13/4 and 5675/(-374) + 7 + 8.
748
What is the common denominator of (-803)/1089*6 - -1*5 and 32/39?
429
Let r(x) = -5*x**2 + 50*x - 43. Let n be r(-20). Let y = 63/6418 - -48758993/16045. Let j = n + y. Calculate the common denominator of -63/22 and j.
110
Let h = 106061/89720 + -16/2243. What is the common denominator of h and -143/36?
360
Let f = 443 + -371. Calculate the least common multiple of 21 and f.
504
Let j(b) = b**2 + 4*b + 4. Let l be j(-4). Suppose y - l*y + 36 = 0. Let v = 22 - y. What is the least common multiple of v and 18?
90
Let g = -1219/4 + 3707/12. Suppose 36 = 4*j - 28. Calculate the common denominator of g and 618/j*8/(-60).
60
Let f(h) = h**2 + 87*h + 756. What is the lowest common multiple of f(-9) and 36?
108
Let s = -2/1161 + 39865/2322. Find the common denominator of s and -109/348.
348
Find the common denominator of 1/20*8*(-355)/36 and 0 - (2 - (-322)/(-132)).
198
Let q = -24999 + 449867/18. Suppose -5*g + 586 = 4*v, -828 + 114 = -5*v + 3*g. What is the common denominator of q and 315/v - 1*-3?
144
Let a(s) = -3*s + 42. Let b be a(6). Calculate the common denominator of -3/20 and 1 + (-532)/b + -2 + 0.
60
Suppose 4*m + 24 = 8*m. Let r(a) = -a**2 - 2*a + 1. Let k be r(-2). What is the common denominator of (k/m)/(8/(-200)) and -22?
6
Let q(l) = -l**2 - 8*l. Let j be q(-6). Suppose -3*m = -d - 0*m + j, 38 = 5*d - 4*m. Calculate the least common multiple of d and 10.
30
What is the common denominator of -41/236 and ((-4)/112*-90)/((-6)/(-7))?
236
Let u = -4 - -10. Suppose u*r = r + 15. Let i(j) = 7*j**2 + j + 10. Calculate the least common multiple of i(0) and r.
30
What is the common denominator of ((-114)/(-22572))/(8/246) and -23/32?
1056
Let q(s) = -s**2 + 2*s. Let z be q(4). Suppose -115 = 4*w + 13. C