 y. Find the common denominator of 3 and n.
10
Let y(q) = q**3 - 22*q**2 + 27. Let m be -3 - (0 + (-75)/3). What is the lowest common multiple of y(m) and 12?
108
Suppose -2*g + 12 = g. Suppose 0 = -0*u + g*u - 56. Let q = -4 + u. What is the least common multiple of q and 18?
90
Let c(z) be the first derivative of 2*z**2 - 20*z - 6. Calculate the smallest common multiple of c(9) and 4.
16
Let x = -6797 - -163271/24. Let o = 102/59 + -6185/472. Find the common denominator of o and x.
24
Let k be -3*(1 + (-7)/(-3)). Let h = k - -32. What is the smallest common multiple of h and (-2 - -12)*(-4)/(-2)?
220
Let a = 16 - 8. Suppose 8*p - 101 = 1019. Let h = -131 + p. Calculate the lowest common multiple of h and a.
72
Let g(n) = n**3 - 6*n**2 + 7. Let w be g(6). Let f be w/(14/(-4)) + 7. Suppose 5*r = 25 + f. What is the lowest common multiple of 4 and r?
12
Suppose 5*l + 0*q + 5*q + 310 = 0, -4*l = 2*q + 252. Find the common denominator of 21/22 and -3 + (4 - (-44)/l).
176
What is the least common multiple of 0 - 5 - (-38 + 6) and 33?
297
Let j(t) = -t - 2. Suppose -3*a = -6, -n - 4*a = -1 - 5. Let v be j(n). Let o = 3 - v. What is the least common multiple of 5 and o?
15
Find the common denominator of (-1070)/(-8)*2/30 and (-926)/(-224) - 12/21.
48
Let o = 15514/47259 + -5/801. What is the common denominator of -24/5 and o?
295
Let j(l) = l**2 - 4*l - 10. Suppose 4*q - 11 = 5*a, 0*q - 2*q - 2 = 0. Let f be j(a). What is the smallest common multiple of 2 and (-2)/(-4) - f/(-2)?
6
Let x(d) = d**2 - 2*d + 2. Let m be x(4). What is the least common multiple of 120/50 + (-4)/m and 11?
22
Let r = 31132 + -1961255/63. Find the common denominator of r and -59/81.
567
Suppose -3*s - 12 = 12. Calculate the common denominator of 13/5 and ((-238)/(-14))/(s + -1).
45
Let p = 0 + 1. Suppose -o + 0*o = 5*x - 9, 4*x - 5*o - 13 = 0. What is the smallest common multiple of ((-5)/(-2) + -1)*x and p?
3
Let m be -2*((-10)/(-4) - 1). Let y be -10*(-4 - (3 + m)). Suppose -10 - y = -2*t - 2*p, -3*p = t - 31. Calculate the smallest common multiple of 18 and t.
198
What is the common denominator of 18/27 - 214/168 and -49/16?
112
Let g = -20/213 - -3941/3408. Calculate the common denominator of 79/88 and g.
176
Let k be -1*(5/(-15))/((-3)/(-18)). Suppose -3*c = s - 2*c - 14, -3*s + 42 = -k*c. Calculate the smallest common multiple of s and 3.
42
Suppose -2 - 10 = 3*p, -g + 89200 = -p. Let o be g/40 - 6/3. Let k = o + -2238. What is the common denominator of k and -93/2?
10
Let i(m) = m**3 + 2*m**2 - 2*m. Let f be i(1). Suppose -5*g + f = 3*s, -2*g = g + 5*s + 9. What is the smallest common multiple of g and 14?
14
Suppose c + 5 = 11. Suppose 2*f + 3*f = -5*s + 245, f = 2*s - 86. What is the least common multiple of 12 and 8/10*s/c?
12
Let g = -13498/7 - -459471/238. What is the common denominator of 16 and g?
34
Let p be 81520/(-30)*(-2)/(-3). Let t = -1808 - p. Find the common denominator of -7/31 and t.
279
Let u = -145165/18 - -8067. Calculate the common denominator of (-171)/24*16/120 and u.
180
Calculate the common denominator of (202/(-18))/((-8)/(-6)) and (21/14)/(90/(-745)).
12
Let s be (-1 - (-1 + 3)) + 1. Suppose 2*h + 2*b - 128 = 0, 8*b - 3*b = 5*h - 280. What is the common denominator of 383/h + s/6 and 25/4?
20
Let p(w) = -w**3 - 7*w**2 + w + 7. Let f be p(-7). Let d(v) = v**3 - v + 2. Calculate the smallest common multiple of d(f) and 32.
32
Let d = 144533/21 - 6885. Calculate the common denominator of d and 30/7.
21
Let q = 229/14 + -2719/126. Calculate the common denominator of 4/83 and q.
747
What is the common denominator of ((-801)/6)/(-2 - 208) and 69/8?
280
Let d = -383/88 + 1037/1320. Calculate the common denominator of (-10)/(-24) - (-5 + 2) and d.
60
Let g(n) = -n**2 - 8*n - 11. Let h be g(-7). Let a(v) = v + 6. Calculate the least common multiple of a(h) and 2.
2
Let s = -983 - -1219. What is the lowest common multiple of s and 20?
1180
Let p = -841737/1060 - -3971/5. Calculate the common denominator of p and (4/6)/(88/(-825)).
212
Let v = -1/242 - -1392/121. Let u = -228665/42426 - -2/2357. What is the common denominator of v and u?
18
Let k be (7195/(-25))/((-22)/(-755)). Let r = -9873 - k. What is the common denominator of r and 59/14?
154
Suppose 0*p + p = 3*z - 4, -5*z = 5*p - 20. Let n be 0 + 1 + 4*-1. Calculate the lowest common multiple of 9 + n/(-3) + -2 and z.
8
Let b = 95/28 - 751/308. What is the common denominator of -73/14 and b?
154
Let w = 2467/2 + -1201. Let f = 4526 - 63249/14. Calculate the common denominator of w and f.
14
Let l = -19 + 10. Suppose -7 = 3*o + 5. Find the common denominator of -91/22 and ((-1)/l)/(o/186).
66
Suppose -20*r = -30*r + 60. What is the lowest common multiple of 94 and r?
282
Suppose -72*y + 339 = -597. What is the least common multiple of y and 2?
26
Let a(r) = -r**3 - 5*r**2 - 5*r - 1. Let l be a(-4). Let j be (-18)/72 - 297/(-4). Find the common denominator of 25/7 and l + j/(-18) + -3.
63
Let j = -35 - -44. What is the least common multiple of j and 9?
9
Let i(m) = -m. Let j be i(1). Let b be ((-2)/(-5) + j)*-15. Calculate the lowest common multiple of 12 and (1 + 0 - 4) + b.
12
Suppose -39 = -3*a - 9. Let x be 1 + 2 + -2 + 1. Let n(b) = 2*b**3 - 3*b**2 + b. What is the least common multiple of n(x) and a?
30
Suppose 0 = -3*x + 5*x + 16. What is the lowest common multiple of 32/6*(-6 - 102/x) and 24?
72
Let o = 108 - 93. Suppose -49 - 5 = -3*d. What is the least common multiple of d and o?
90
Let n(y) = -y**2 - y + 3. Let g(h) be the second derivative of h**3/6 - 9*h**2/2 - h. Let w be g(9). What is the least common multiple of 7 and n(w)?
21
Let j(m) be the second derivative of 7*m**5/10 + m**3/2 - m**2 + 3*m. Let z be j(1). What is the least common multiple of (-9)/(108/(-8))*z and 6?
30
Let l(w) = w**3 - w. Let h be l(0). Suppose h = -3*y + 13 + 53. Calculate the smallest common multiple of 14 and y.
154
Let u = -2746/5 - -49193/90. Let v be (8/(-144))/((-30)/1123). Let z = v + -44/27. Calculate the common denominator of z and u.
180
Let y = -62 - -359/6. Let r = 51459/22 - 2344. Find the common denominator of y and r.
66
Let w = -151 + 181. Calculate the least common multiple of w and 12.
60
Suppose -5*i = -3*k - 12575, 5*i - 12595 = 3*k + 4*i. Calculate the common denominator of 37/30 and 2/7 + (-2860)/k.
30
Let j = 26 - -1. What is the common denominator of (-811)/198 + (-6)/j and ((-4)/(-8))/(16/(-10))?
176
Suppose 3*d + 5*f - 24 + 0 = 0, -5*d = -5*f. Let c(v) = -v**2 + 7*v - 6. Let z be c(d). Calculate the common denominator of z/(-39) - 1363/(-156) and -63/4.
12
Let i = 7 - 7. Suppose 5*t - 2 - 3 = i. Calculate the common denominator of -27/11 and 49/(t + 2 - 14).
11
Let o be (165/6)/((-9)/(-18)). Suppose 4*l - o = -l. Calculate the smallest common multiple of l and 51.
561
Let k(h) = -h**3 + 2*h**2 + 2*h. Let z be k(3). Let a be ((-1038)/15)/(z/15). Find the common denominator of -21/22 and 2/7 + a/(-84).
66
Let i = -2495/2 + 1241. What is the common denominator of (-2)/(-8) + (-250)/(-104) and i?
26
Suppose 2*w = 58 + 2. Calculate the least common multiple of 15 and w.
30
Let w = -150 - -254. Let o = w + -75. Suppose -5*f + 45 = -4*h, 4*f - h = 2*h + 35. What is the least common multiple of f and o?
145
Let f(p) = 2*p - 8. Let q be (-1 + -1)/(8/(-24)). Let r be f(q). Suppose -r + 28 = 3*n. Find the common denominator of n and 49/8.
8
Let t = 381 - 219. Calculate the smallest common multiple of t and 135.
810
Let l be -1 + (-96940)/(-32) + -4. Let r = l + -3029. Calculate the common denominator of -1/22 and r.
88
Let p be 6/18 - (-107)/3. Calculate the common denominator of 9/4*p/(-15) and 77/2.
10
Let k(o) = -o**3 - 15*o**2 + 2*o + 34. Let f be k(-15). Suppose -3*y - 2 = -f*y. Calculate the least common multiple of 9 and y.
18
Let l be ((-3972)/210)/(808/(-10)). Let z = l + -2/101. What is the common denominator of 47/8 and z?
56
Suppose v = -4*s - 11, -12 = 6*s - 2*s. Calculate the least common multiple of 6 and ((-26)/8)/(v/(-8)).
78
Let t be 2*5 - (10 - 8). Let b be (-30740)/48 + 2/t. Let l = 637 + b. Calculate the common denominator of l and 89/10.
30
Suppose -4*b - 184 = x - 15, -2*b - 107 = 5*x. Let c = b - -45. Calculate the lowest common multiple of 6 and c.
12
Let j = 2/508