v + q = 183 + 65. Let s(x) = 6*x**2 + 3*x + 2. Let z be s(-2). What is the lowest common multiple of 8 and ((-176)/10)/(z/v)?
88
Let x be 774/(-16)*156/2925. Let m be (-1499)/(-4)*(-2)/150. Let y = m - x. Find the common denominator of 45/14 and y.
84
Let m = -405 + 508. What is the smallest common multiple of m and 2?
206
Let o(v) = v**2 - 8*v - 12. Let g be o(10). Suppose -q + g = 2*z - 0*z, q + z - 8 = 0. What is the common denominator of 20/1*6/q and 41/11?
11
Suppose -5*x + 0*x + 5*u - 5 = 0, -3*x + 4*u = 7. Suppose 4*t + 3*q + 0*q = 26, -t = -x*q + 1. Calculate the common denominator of -61/4 and (-32)/t + (-4)/10.
20
What is the common denominator of 18/33 + 4480/(-550) and -53/20?
20
Suppose 4*a - 20 = -0*a + 4*p, 5*a - 4*p - 27 = 0. Let m(k) = -k**2 + 9*k + 6. What is the least common multiple of 4 and m(a)?
20
Let b(j) = j + 5. Suppose -6*i = -3*i + 15. Let d be b(i). Let o(s) = s + 1. What is the lowest common multiple of 8 and o(d)?
8
Suppose -2*f - 3*m + 41 = 0, 2*f - m - 8 = 21. Calculate the lowest common multiple of ((-8)/f)/(4/(-288)) and 20.
180
Find the common denominator of (13 - (-369)/(-27)) + (-41)/(-6) and 2 + 1/(28/37).
84
Let v be -14*4/16*-2. Let h = 23 - 13. Calculate the least common multiple of h and 0/v - 1*-11.
110
Suppose 0 = 4*f + 4, -5*h = -f - 4*f - 20. Calculate the lowest common multiple of 47 and h.
141
Let d be (48/80)/((-1)/(-10)). Find the common denominator of 93/(-63) + d/9 and 37/21.
21
Let g(j) = -4*j**2 + 2*j - 1. Let c be g(3). Let i = -97 + c. What is the common denominator of 19/8 and (-1072)/i - 1/2?
8
Let y = 1221 + -1204. Let l = 4 - -3. What is the smallest common multiple of y and l?
119
Let b(t) = -6*t - 16. Let i be b(-10). Suppose -2*z + i = 4*l, -3*l + l = -z + 2. What is the least common multiple of z and 6?
12
Let j(q) be the second derivative of 5/12*q**4 + 10*q + 0 + 1/20*q**5 + 1/3*q**3 + 0*q**2. Calculate the smallest common multiple of 8 and j(-4).
8
Let u(d) = 23*d - 42. What is the least common multiple of u(4) and 20?
100
Let g = 20 + -28. Let z be (120/g)/(6/(-4)). What is the smallest common multiple of -6*z/15*-4 and 4?
16
Let t = 31 - 34. What is the least common multiple of 20 and (-9)/(27/(-2))*t/(-1)?
20
Suppose -5*h - 3*q + 43 = 0, 4*q = -5*h - 22 + 61. Let p = -2221 - -2232. What is the lowest common multiple of p and h?
11
Suppose 4*n = 10*n - 48. What is the smallest common multiple of n and (-9 - 1)*(-8)/10?
8
Find the common denominator of (-1122)/(-27984)*(-8 + -2) and 19/6.
636
Suppose 100 = -0*q + 5*q. Suppose 0*d - d = 1, 4*m + 50 = -2*d. Calculate the smallest common multiple of -6*(-3 + (-20)/m) and q.
40
Find the common denominator of -103/22 and (13 - (-9759)/(-774))*3/(-4).
3784
Let f(j) = -j**3 - 54*j**2 + 49*j - 202. What is the lowest common multiple of f(-55) and 256?
256
Let m be (-21)/(-2)*16/(-12). Let q = 16 + -2. What is the least common multiple of (-3)/(6/(-22)) + (-13 - m) and q?
84
Let g = -16486/9 + 1838. Find the common denominator of (14/(-24))/((-1)/(-14)) and g.
18
Let y = -2/679 - -3011/1358. Let n = 7337/4 + -1857. What is the common denominator of n and y?
28
Calculate the smallest common multiple of (-33)/(-165) - (-117)/15 and 6/(0 - 3/(-34)).
136
Let g = -846/5 + 3719/20. What is the common denominator of 53/4 and g?
4
Suppose 13 - 5 = 2*p. Suppose 0*m = 4*m + p. Calculate the least common multiple of 9 and 228/28 - m/(-7).
72
What is the common denominator of (-8)/(-18)*(-14 - -13) and -7/75?
225
Let r = 2571/44 - 904/11. Find the common denominator of r and 70/99.
396
Let y(u) = 15*u - 12. Let x(v) = -v**2 - 9*v + 18. Let l be x(-11). Let j be y(l). What is the common denominator of 22/9 and (2/3)/((-27)/j)?
9
Let c be 1541/(-78) + 1 + -1. Let l = 111450/13 + -8580. Let v = l - c. Calculate the common denominator of v and -89/6.
6
Let j = 1 + 1. Suppose -j*y = -4*y + 12. Let t(n) = 2*n - 3. Calculate the lowest common multiple of 10 and t(y).
90
Let a(d) = 3*d**2 - 24*d + 2. Let t = -82 + 90. What is the smallest common multiple of a(t) and 2?
2
Let c = -286027/307700 - -14/4525. What is the common denominator of -43/204 and c?
204
Suppose 6 - 2 = 2*i. What is the least common multiple of 11 and i/11 - (-212)/44?
55
What is the least common multiple of (-10)/(-105) - (-12088)/84 and 144?
144
What is the common denominator of (268/(-144) + 2)/(3/58) and 17/54?
54
Let r(q) = -q + 12. Let d be r(0). Let n(z) = z**3 + 13*z**2 - 16*z - 24. What is the lowest common multiple of d/5 - (-2)/(-5) and n(-14)?
4
Let g be 1*(4 + 5)/3. Suppose 5*l = g*h + 28, 4*h - 16 = -3*l - 5. Find the common denominator of 1*h*767/(-234) and -31/2.
18
Let m be 3456/4*(-4)/3. Let b = m + 2014. Let a = b - 9492/11. Calculate the common denominator of 81/2 and a.
22
Let m(z) = -3*z - 19. Let u be m(-9). Suppose 4*d - 5*y + 2 = 0, u = -2*d + 4*d + 2*y. Suppose -1 - 8 = -g. What is the lowest common multiple of d and g?
18
Find the common denominator of -41/106 and 6*2/24*(-186)/(-132).
2332
Suppose -4*w - 3 = -3*w. Calculate the smallest common multiple of (-1 - (3 - 4)) + 7 and ((-10)/3 - -1)*w.
7
Let p = -304189/126258 + 1/5739. Let r(l) = -9*l + 3. Let m be r(4). What is the common denominator of (-1532)/1496 - (-6)/m and p?
374
Let w = -19533979503 + 334812408584569/17140. Let u = w + 1/1714. Calculate the common denominator of (-20)/(-150) - 219/1980*-14 and u.
220
Suppose 5*s - 558 = 42. Calculate the lowest common multiple of s and 210.
840
Suppose -7*c + 150 = 2*s, 5*c + 17 - 123 = -2*s. Calculate the least common multiple of c and 86.
946
Let h(s) = -23*s**2 + 3*s. Let v be h(-3). Let d be ((-9)/(-198))/(1/(-4749)). Let q = d - v. What is the common denominator of q and 1/20?
220
Let v = 4484 + -4471. What is the lowest common multiple of 5 - 2/2 - 0 and v?
52
Let j(s) = s**3 - 20*s**2 + 34*s + 42. What is the least common multiple of 7 and j(18)?
42
Let o be 420/(-7) + (-2 - -4). Find the common denominator of ((-348)/(-112) - 3)*o and (51/10)/(90/25).
84
Suppose 5*m - 3*u - 25552 = 7*m, -2*u - 25556 = 2*m. Find the common denominator of m/(-440)*(-2)/(-7) and (-122)/(-24) + 0 + -1.
60
Let k(c) = -7 - 4*c - 9 - 5 - 5 + 16. Let a be 5/(-2 + (-1 - -2)). Calculate the lowest common multiple of 1 and k(a).
10
Suppose -1 + 7 = 3*r. Suppose -11 + 35 = r*t. What is the lowest common multiple of 16 and t?
48
Let c = 19 - 13. Let i(v) = v**3 - 15*v**2 + 38*v - 122. What is the least common multiple of i(13) and c?
102
What is the common denominator of (-12)/162*-15 - -1 and (-2)/3 - 141/(-144)?
144
Let v be 35/15 + -3 - 22530/9. Let h = -27520/11 - v. Calculate the common denominator of 55/42 and h.
462
Let w = -188 - -195. What is the smallest common multiple of 91 and w?
91
Suppose 0 = 2*h - 4*i + 46, -5*i + 20 = -h + 3. Let t = -15 - h. Calculate the smallest common multiple of t and 27/(-3)*8/(-6).
12
Suppose -2*y - 3*x = -9, 0 = -0*y - 5*y + 4*x + 80. Suppose 150 = 9*p - 48. Calculate the smallest common multiple of p and y.
132
Let p(n) = 2*n**2 - n - 5. Let h be p(-4). Suppose 2*g + 9 = h. What is the lowest common multiple of 8 and g?
88
Suppose 5*u - 3*v = 983 - 2, v + 2 = 0. Calculate the lowest common multiple of u and 105.
1365
Let q(y) be the first derivative of y**4/24 + 7*y**3/3 + y**2 - 8. Let z(v) be the second derivative of q(v). What is the lowest common multiple of 20 and z(0)?
140
Let b = 31 + -19. Suppose -b = -8*v + 10*v. Find the common denominator of 920/165 - (-4)/v and -1/6.
66
Suppose 2*v - 4 = -0. Suppose -2*o + 64 = v*o. What is the smallest common multiple of o and 6?
48
Let v = -5 + -6. Find the common denominator of 137/12 and v/(-22)*242/(-14) - -1.
84
Let n = -33129 + 73645765/2223. Let i = n + -162263/17784. Find the common denominator of i and 75/22.
88
Suppose -16 = -4*k - 4*x, -6*x - 16 = -2*k - 4*x. Calculate the least common multiple of 14 and k.
42
Suppose -8*k = -7*k - 2. Suppose 7 = k*x - 5. Calculate the lowest common multiple of 30 and x.
30
Let w(z) = z**3 + 25*z**2 - 5*z - 116. Let a(n) = n**3 + 11*n**2 - n + 7. What is the least common multiple of w(-25) and a(-11)?
18
Calculate the common denominator of 11/225 and (-1)/17*-37*(-1)/3.
3825
Let o = 1771/2 + -918. Calculate the common denominator of (2/(-6