y = 17876 + -1126145/63. What is the common denominator of 169/30 and y?
630
Let p(c) = -2*c**2 - 6*c + 7. Let a be p(-7). Let v = a - -69. Let x(k) = -k**3 - 14*k**2 + 15*k + 16. What is the least common multiple of x(-15) and v?
80
Suppose 269 - 4 = -5*v. Find the common denominator of 74/33 and (-112)/(-24) + -5 + v/9.
99
Let o = 4204369/105 - 40041. Calculate the common denominator of -43/21 and o.
105
Let w be (-13932)/(-4632) - (1 + 2). Let g = w - 12067/579. What is the common denominator of g and 61/18?
18
Let c be (-3 - (-26)/8)/(15/10119). Let i = 165 - c. What is the common denominator of i and -79/4?
20
Suppose 2*w - 3*k - 2 = 0, 5*k = 2*w - 0*k + 6. What is the common denominator of ((-93)/20)/(w + -6) and 47/6?
60
Let h = -2148079/50 + 42960. Calculate the common denominator of 47/70 and h.
350
Let o = -392 + 437. Calculate the least common multiple of 30 and o.
90
Let q = -2481/287 - -44/41. What is the common denominator of -23/232 and q?
1624
Let l = -39/787 - 49999/55090. Find the common denominator of 91/10 and l.
70
Let j = -62695/84 - -5280/7. Let k = -56/129 + 2576/387. Find the common denominator of k and j.
36
Let a(l) = -l**3 + l**2 + 6*l + 4. Let x be a(-5). Suppose 0 = -7*f + 2 + x. What is the least common multiple of 33 and f?
198
What is the common denominator of (-289)/34 - ((-8)/20 - 0) and -71/160?
160
Let b(v) = v + 3*v**2 + 2*v + 0*v - 2*v**2 - 8. Calculate the least common multiple of b(-6) and 22.
110
What is the common denominator of 25/14 and (-4)/16*51/141?
1316
Let m(z) = -5*z + 5*z - 2*z + 7*z**2 - 5*z**3 + 4*z**3 - 2. What is the least common multiple of 12 and m(6)?
132
Suppose 4*n = -k - 2*k - 280, 3*n + 210 = k. Find the common denominator of (-403)/n - 6/15 and -55/2.
14
Let n = -20 + 52. Suppose -7 = -5*h + o + 9, 0 = 4*h + 4*o - n. Calculate the lowest common multiple of 2 and h.
4
Let i(p) = p**2 - p. Let g be i(3). Suppose -29 = -2*f - 3*d - 0*d, -3*f = 4*d - 42. Let w = f - g. Calculate the lowest common multiple of 8 and w.
8
Suppose b = -3*j + 51, 0*j = -2*j + 10. Calculate the lowest common multiple of 27 and b.
108
Let d be 4/14 - (-713)/(-2422). Let u = -4580/519 + d. Find the common denominator of -6 + 1166/429 - (5/(-3) - -1) and u.
78
Let p = -119845/16974 + 14/2829. Calculate the common denominator of p and -47/24.
72
Find the common denominator of -1 - 1 - 1 - 28083/(-8584) and -16/29.
232
Let x(s) = s**3 - 2*s**2 + s - 10. Suppose 2*z - 9 = -z. What is the least common multiple of 12 and x(z)?
12
Suppose 3*l - 4 = l. Suppose -5*v + 25 = 0, 5*c - 3*c = -5*v + 41. Suppose -4*n - c = -r, 0 = 5*r - 3*n - 48 - 9. What is the least common multiple of l and r?
12
Calculate the common denominator of 49/6 and 1100/765 - 12/(-102).
18
Let t = -11 - -11. Let u be 2 + -1 + 1 - t. What is the common denominator of 87/2 and (-1)/3 + 0 + u?
6
Let t be 180/27*9/12. Suppose 0*y - 118 = -t*u - 2*y, u = 2*y + 14. What is the least common multiple of 8 and u?
88
Let f = 427811/250440 + 1/10435. What is the common denominator of (130/(-12))/(8/(-6)) and f?
24
Suppose -17*d = -20*d + 198. Calculate the least common multiple of d and 4.
132
What is the common denominator of (-28)/(-22) + 6/72*18 and 133/18?
198
Let s = 13 - 14. Let x(v) = -v + 1. Let b(t) = -3*t + 2. Let h(z) = s*b(z) + 4*x(z). Calculate the least common multiple of 1 and h(-6).
8
Suppose 170 - 2 = 4*o. Let k = 89 - 62. Find the common denominator of (k/12)/((-9)/o) and 49/2.
2
Let x be 5*4/(-30)*6. Suppose -r + 2*z + 7 = -2, -5*z + 16 = r. What is the least common multiple of r and x/6*(-42)/4?
77
What is the common denominator of -139/24 and (-102)/(-48)*(-6)/36?
48
Suppose 18*l = 30*l - 1212. Let s = l + -95. What is the lowest common multiple of s and 61?
366
Let n(m) be the second derivative of -m**5/20 + 2*m**4/3 - 5*m**3/3 - m**2 - 7*m. What is the lowest common multiple of n(6) and 7?
70
Let g = 169 + -79. Let c(l) = -l + 14. Calculate the smallest common multiple of g and c(0).
630
Suppose 0 = 2*i + 47 + 35. Let l be 3/1 - (-8 - i). What is the common denominator of 21/2 and 2/5 + (-6)/l?
10
Let u = 3/503 + 6473/11066. What is the common denominator of 71/132 and u?
132
Let y(w) = 4*w**2 - 2*w**3 + 2*w**2 + 5*w**3 - 4*w**3 + 3 + w. Suppose g - 4*g = -9. What is the smallest common multiple of y(6) and g?
9
Let b(y) = y**3 - 3*y**2 - 2*y + 8. Let w(t) = 2*t - 44. Let u be w(24). Calculate the smallest common multiple of b(u) and 2.
16
Suppose 4*h - 23 = -5*f, 0 = -h + 3*f + 38 - 11. Calculate the lowest common multiple of 6 - (-2 - (1 - -3)) and h.
12
Let h be 264 - -1 - (-10)/2. Find the common denominator of 1580/h - (5 - 0) and -17/33.
297
Find the common denominator of (-9)/(-21)*6/((-72)/(-33)) and 76/3.
84
Let q = -20154/13871 + -2/1261. Find the common denominator of q and -21/104.
1144
Suppose -3774 = 22*i - 59*i. What is the lowest common multiple of i and 54?
918
Let m be 53/2 + (-6 - (-91)/14). Let n = m + -541/20. What is the common denominator of n and -11/5?
20
Let w = 71857400 + -14012121296/195. Let u = 1836/5 - w. What is the common denominator of -91/48 and u?
624
Let v(f) = -f**2 - 20*f - 82. What is the smallest common multiple of 16 and v(-12)?
112
What is the common denominator of 59/56 and 6/4 + -10 + (-477)/(-44)?
616
Let w = 167 - 112. Let y = w + 578. Let h = y + -10115/16. Calculate the common denominator of -65/8 and h.
16
Let u(k) = -8*k**3 + 2*k**2 - 8*k - 4. Calculate the smallest common multiple of u(-2) and 156.
1092
Let a(j) = -6*j - 15049. Let b be a(0). Let p = -301041/20 - b. Find the common denominator of (-70)/24 - 2/6 and p.
20
Suppose -3*g + 47*i - 42*i + 182 = 0, -3*i = g - 70. Calculate the smallest common multiple of g and 144.
576
What is the common denominator of 25/16 and 1 + 1 - 918/556?
2224
Let u be 1/(4/(-2))*-8. Let w(y) = -8 - 2*y + 3*y**2 - 4*y - y**3 - u*y - 12*y**2. What is the least common multiple of w(-8) and 6?
24
Suppose -23 = -2*h - 2*g + 3*g, -2*g = 5*h - 44. Calculate the smallest common multiple of h/(-4)*(-24)/30 and 17.
34
Let i = -1886 - -11287/6. Find the common denominator of 915/(-12)*(-3)/30 and i.
24
Suppose 64 = -5*q + 4. Calculate the common denominator of -55/54 and 2/q - (-156)/18.
54
Let j = -91 + 116. What is the least common multiple of j and 45?
225
Let k = -1031/109152 + -3/379. What is the common denominator of -35/72 and k?
288
Suppose 0 = -2*x - 4*k - 4, 2*x + k + 8 = 5*x. Suppose -2*i = -8 - 88. Calculate the lowest common multiple of i and x.
48
Let n = -125/143 + 34997/2574. Let r = 7/9 + n. What is the common denominator of r and ((-10)/(-35))/(36/49)?
18
Suppose 6*s - 122 = -14. Suppose -5*h + 30 = h. What is the lowest common multiple of h and s?
90
Find the common denominator of (-1)/(-2) - 38/(-304) and -99/4.
8
Let u(o) = -2*o**2 - 53*o + 139. What is the lowest common multiple of u(-26) and 75?
825
Let f be (-2)/(-3)*30/4. Suppose 0 = -f*v - 155 + 520. Suppose -v - 11 = -7*l. What is the least common multiple of 8 and l?
24
Let u(q) = 26*q + 40. Let s be u(-5). Let a(r) = -r - 2. Let o be a(2). Calculate the common denominator of (5/35)/(o/s) and -17/4.
28
Suppose 0 = -0*s + 4*s - 8. Suppose -4*y + 20 = -s*y. What is the least common multiple of y and 8?
40
What is the least common multiple of 85 and 2/6*-27 - -162?
765
Suppose -2*s - 8 = 0, -4*s - 30 = -2*b + s. Let j = -1 + b. What is the lowest common multiple of j and 14?
28
Let c(x) = -32*x**3 + 5*x**2 + 6*x + 2. What is the common denominator of c(-1) and -4/5?
5
Let b be 245/10 - 2/4. Let u = -15 + b. What is the lowest common multiple of u and 22?
198
Let i(x) be the third derivative of 0*x + 7/24*x**4 - 1/3*x**3 + 0 - 5*x**2 - 1/60*x**5. What is the lowest common multiple of 11 and i(6)?
44
Let g = 56 + -56. Suppose f - 34 + 32 = g. What is the lowest common multiple of 31 and f?
62
Let x = 21 - 21. Suppose b - 6 = -x*b. Suppose b*q - 3*q - 12 = 0. What is the lowest common multiple of 22 and q?
44
Let k(w) = -w**2 - 1. Let n(p) = -p**2 - 2*p - 11. Let v(u) = 2*k(u) - n(u). Let s be v(5). Calculate the smallest common multiple of 8 and (-10 + 14)*s/(-4).
24
Let u = 69263/27090 + -492/301. What is the common denominator of u and 145/12?
180
Let a(i) = -104*i**3 - i**2 + i +