. Let t = 80 + s. What is the common denominator of 1/((-15)/(-189) - 0) and t?
5
Let l(t) = -t**3 - 2*t**2 - t - 1. Let q be l(-2). Let s = 0 + q. Let b(a) = a**3 - 2*a**2 - 4*a - 5. What is the lowest common multiple of b(4) and s?
11
Suppose -4*k = 3*u - 136, 5*k - 52 = 5*u + 118. Suppose -6 = -5*o + 84. What is the lowest common multiple of o and k?
306
What is the common denominator of 49/6 and 2600/(-858) + 2/(-2) + 3?
66
Let h = 8426 + -84353/10. Calculate the common denominator of h and 50/11.
110
Calculate the least common multiple of 21 and (6/4 + 1)/((-3)/(-12)).
210
Suppose 0 = 6*p + 8 - 56. Calculate the common denominator of 63/34 and p/28 - (-597)/42.
34
Let x = 13422 - 19390. Let t be 1/(-3)*716622/(-40). Let i = x + t. What is the common denominator of i and 85/2?
20
Let t be 609/(-6)*(-24)/(-34). Let x = -12287/204 - t. Calculate the common denominator of -57/34 and x.
204
Suppose -l = 3*l - 56. Calculate the lowest common multiple of l and 10/3*192/40.
112
Suppose 4*m - m = 33. Let u = m - 7. Let p = u - 3. What is the smallest common multiple of p and 10?
10
Suppose -3*p + 5 = -1. Suppose b = p*b - 11. Suppose 3*h - 6 = 21. Calculate the least common multiple of h and b.
99
Let f be ((1 - -1) + -14)*-4. Suppose -4*d - 128 = -3*n, 0 = n - 0*d + 4*d - f. What is the smallest common multiple of n and 8?
88
Let d = 550197532 - 2129264429093/3870. Let o = d + 396/215. Find the common denominator of -61/4 and o.
36
Let r = 744711/28 - 26600. Calculate the common denominator of -119/20 and r.
140
Let l = 5 + -2. Suppose 0*z + 57 = 4*a - l*z, z - 45 = -4*a. Find the common denominator of 51/4 and 2/a + (-111)/(-63).
28
Let n(w) = w**3 + 12*w**2 + 12*w + 5. Let m be n(-11). Calculate the lowest common multiple of 2 and m/(-12) + 14/4.
4
Let f = 4/659 - 3451/25701. Find the common denominator of 17/12 and f.
156
Let f = -3/392 + 24313/1176. What is the common denominator of 47/10 and f?
30
Suppose -4*w + 128 = -0*w. Calculate the lowest common multiple of 2 and w.
32
Find the common denominator of 7 + -1*1/3 and 17/9.
9
Let n(g) = g**2. What is the least common multiple of n(-2) and 5?
20
Let l = -16689/8 - -2081. What is the common denominator of l and (-6)/(7 - 3 - 15)?
88
Let u(g) = -g - 3*g - 5 + 2. Let r be u(-3). What is the smallest common multiple of 17*1 - (-6 + r) and 10?
70
Suppose 5*i = -2*z + 41, -z = -2*z + 5*i + 58. Calculate the least common multiple of z and 36.
396
Let y(g) = -g**3 - 2*g**2 + g - 2. Let b be y(-3). Suppose -5*m + 45 = -5*s, 4*m = -b*s + 2*s + 24. What is the least common multiple of m and 0 + 1 + 2/5*10?
35
Let o = 6993/8180 + -2/409. What is the common denominator of 2/2*(-103)/(-14) and o?
140
Let t = -118 - -138. Let b = 58 - 40. What is the lowest common multiple of t and b?
180
Let r = 14 + -21. Let o = -3 - r. Calculate the least common multiple of o and 8.
8
Find the common denominator of (-1386)/(-704) + -2 + 0 and 109/12.
96
Let m be ((-342)/4)/(3/6). Find the common denominator of (-20)/((27/(-2))/3) and m/(-20) - 6/(-30).
36
What is the least common multiple of (-81)/(-12) + 3/(-4) and 108?
108
Let g(k) = 34*k - 22. Let t be g(7). Calculate the common denominator of (-2)/18 + 1725/t and (-3)/(-7) - 0/(-1).
56
Suppose 0*g - g = -5. Suppose -g*y + 5 = 5*x, -2*y + 4*y + 26 = 5*x. What is the common denominator of x and ((-20)/40)/(4/63)?
8
Find the common denominator of 59/10 and ((-9)/(-10) + -1)*(-118)/(-9).
90
What is the lowest common multiple of 0/(-2) - (-8 - -2) and 6?
6
Suppose 0 = 2*k + 3*k - 5, -4*k + 49 = 3*i. Calculate the lowest common multiple of 12 and ((-12)/i)/((-1)/5).
12
What is the common denominator of (-15)/(-6)*(-244)/140 and 65/4?
28
Let i = 11 + -9. What is the common denominator of 59/(-4)*1/i and 11/10?
40
Let t = 4 - -5. Let d = 13 - 6. Calculate the lowest common multiple of t and d.
63
Let z(t) = -2*t. Let u be z(1). Suppose -3*x = -3*j - 960, 2*j - 607 = -2*x + 17. What is the common denominator of 71/2 and -1 + u - x/(-56)?
14
Let b(f) = f**2 + 7*f + 14. Calculate the lowest common multiple of b(-8) and 44.
44
Let l = 10 - 5. Let s be (3 - 4)*(0 - 0). Suppose s = -o + 3. What is the least common multiple of l and o?
15
Suppose -3*v + 7 = 5*c, 0*v + 3*c = 2*v + 8. What is the common denominator of v - 1 - (-308)/80 and 36/(-14)*55/(-20)?
140
Suppose 4*c = 5*a + 76, -4*a - 68 = -4*c - 4. Let o = a + 23. Calculate the least common multiple of o and 5.
55
Let t be (-3)/(-15) - (-16)/(-5). Let p(n) = n**2 + 2*n + 1. Let h(f) = 3*f - 1. What is the smallest common multiple of p(t) and h(1)?
4
Suppose -g - 2*g + 6 = 0. Suppose g*b + 4*z = 0, 4*z = -3*b + 6*z + 24. Calculate the smallest common multiple of 1 and b.
6
Suppose -w = 4*w + 3*p - 4911, 5*w - p = 4903. What is the lowest common multiple of w/45 + 2/10 and 4?
44
Suppose -p = -2*a - 6, 3*a + 0*a = 0. Suppose u - p*u + 30 = 0. Calculate the smallest common multiple of u and 5*(-5)/(75/(-66)).
66
Calculate the common denominator of ((-22)/96)/(1/(-3)) and 55/6.
48
Let y(f) = 2*f**2 - 4*f - 1. Let u be y(3). Suppose -u*a = -13 - 12. Calculate the lowest common multiple of a and 9.
45
Let b(j) = -5*j**2. Let x(s) = s - 3. Let u be x(4). Let t be b(u). Find the common denominator of 6*((-150)/28)/t and -73/8.
56
Calculate the common denominator of -133/24 and ((-298)/15)/((-24)/10).
72
Calculate the common denominator of 5/18 and ((-121)/(-32))/(-11) - 6/(-3).
288
Let u = 10 - 8. Let h(g) = g - 3. What is the lowest common multiple of u and h(5)?
2
Let o = -6 - -14. Let j = o + -6. What is the lowest common multiple of 9 and j?
18
Let n = 7 - -1. Let z = -2 + 2. Calculate the least common multiple of n and z - -8*(-4)/(-8).
8
Let g(n) = n + 8. Calculate the smallest common multiple of 10 and g(-4).
20
Let a be (-128)/(-4) - (3 + -4). Suppose 4*m + 36 = -8. Let d = m + a. Calculate the least common multiple of d and 12.
132
Let g = 3/800 + -28033/8800. Find the common denominator of 15/8 and g.
88
Let x be ((-14)/399)/(1/(-24)). Let w = x - 1799/38. Calculate the common denominator of w and 22/5.
10
What is the common denominator of -115/18 and (-49)/(-1 + -12 + 3)?
90
Suppose -5*k + k = -12. Suppose 0*a - 2*u - 255 = -k*a, -u = -5*a + 425. Find the common denominator of a/(-35)*(1 + -2) and 103/10.
70
Let l be (-20)/(-8) + 2/(-4). Suppose -l*s + 5*t + 61 = s, 45 = 2*s + t. Calculate the smallest common multiple of 0/(-8) + 16/1 and s.
176
Let x = -125727/24940 - 11/1247. What is the common denominator of x and (103 + 0)*(-1)/(-6)?
60
Suppose -5*d - 1398 - 1467 = 0. Let n = 1213/2 + d. Let x = -1845 - -14735/8. What is the common denominator of x and n?
8
Suppose 20*q = 15*q + 105. Calculate the smallest common multiple of 12 and q.
84
Let s be (3/(-2))/3*-4. Find the common denominator of -35/11 and ((-35)/4 - 0) + s.
44
Let n(w) = 2*w**2 + 11. Let y(q) = 3*q**2 + q + 12. Let f(s) = -4*n(s) + 3*y(s). What is the least common multiple of 14 and f(-7)?
140
Suppose -2*h - 2765 = 3*h. Let s = -11057/20 - h. What is the common denominator of -65/12 and s?
60
Let s = -5/71 - 371/781. Calculate the common denominator of (-28)/(-42)*(54/(-10))/(-3) and s.
55
Let d(m) be the second derivative of -m**3/6 - m**2 + 5*m. What is the lowest common multiple of 8 and d(-3)?
8
Let b(i) = -3*i - 7. Let l = 13 + 9. Let u = -14 + l. What is the lowest common multiple of b(-5) and u?
8
Calculate the common denominator of 17/66 and (-86)/108 - (-10 + 10).
594
Let a be 1/(-1) + 30 + 1. What is the common denominator of -1 - (a/22)/(-3) and (-1 - 22/(-20))/(10/(-875))?
44
Calculate the common denominator of -30 and 4 + -5 + (-32)/(-5).
5
Suppose 0 = 2*w + 7519 - 821. Let s = w - -26739/8. What is the common denominator of s and -13/18?
72
Let n = -3 + 6. Suppose -5*b = 3*k - 18, 0*k - n = -2*b + 3*k. Suppose b*q - 12 = -i, 0 = 5*i - 2*q - 0*q - 128. Find the common denominator of -1/4 and i.
4
Let b = -10 - -22. Calculate the least common multiple of 16 and b.
48
Let k be (-6)/33 - 384/(-2079). Let n = 29809/3465 - k. Let c = -1/393 - -9827/786. Find the common denominator of n and c.
10
Let r = 122051/3090 + 2/1545. Calculate the common denominator of 20/17 and r.
34
Let x = 29 + -23. Suppose -24 = -5*f + 21. Suppose -3 = -3*s + f.