t k = 7 + 3. Let d(q) = -q**2 - 10*q + 13. What is the lowest common multiple of k and d(-11)?
10
Let c(t) be the first derivative of 8*t**3/3 + 5*t**2/2 - t + 2. Let i be c(4). Let l = i - 1031/7. Find the common denominator of l and -19/9.
63
Let y = -16537/4334 - 1/394. Let f(z) = z**3 + 7*z**2 + 5*z - 4. Let b be f(-6). What is the common denominator of y and 6/(-9) - (-37)/b?
66
Suppose -l - 3 + 14 = 0. Suppose 4*n = 5*o - 43, o - 2*n - l = -0*o. What is the lowest common multiple of 6 and o?
42
Let h = -5/229 + 8503/1374. Let i = 628133/104 + -105100/13. Let z = i + 2050. What is the common denominator of z and h?
24
What is the least common multiple of -30*(18/(-15))/2 and 8?
72
Let j(m) = -2*m + 1. Let q be j(-2). Suppose h + 1547 = -5*z, 0*h + q*h + 319 = -z. Calculate the common denominator of 0 + (z/54 - 0) and 53/2.
18
Let t(o) = o**2 + 8*o + 7. Let s(d) = -9*d**2 - d. Let x be s(-1). Suppose -a - 18 = -4*a - q, 26 = 2*a - 4*q. What is the lowest common multiple of a and t(x)?
7
Let n be 1330/(-9)*(-3)/6. Let f = 1669571/18 + -92837. Let x = n + f. Find the common denominator of x and -81/8.
24
Let s be 12/(-36) - (-115282)/38775. Let l = s + -4/1175. Calculate the common denominator of 4/(-14) - (-1306)/(-84) and l.
66
Suppose 0 = -0*w - w - 2. Suppose 0 = 3*q - 0 - 15. What is the least common multiple of q and (w - -3) + (-3 - -3)?
5
Suppose -s = -4*s + 9. Suppose -j + s = -1, 4*j = 4*p. Let z(f) = f**3 - 11*f**2 - 11*f - 10. Calculate the smallest common multiple of z(12) and p.
4
Calculate the least common multiple of 10 and (-1)/(-2) - (-5 + 25/(-10)).
40
Suppose 3*k + 2*n = -2*n + 65, 0 = 5*n - 10. Let b = k - 9. What is the lowest common multiple of b and 3?
30
Let m = 245/22 - 40/11. Let g = -99379001/96 - -1035211. Let y = g + 17/96. Calculate the common denominator of m and y.
4
Let o = 2/703 + 3489/9139. Calculate the common denominator of o and 13/7.
91
Calculate the common denominator of 4 + -2*(-201)/36 and -7/9.
18
Let j = -7668 + 45865/6. What is the common denominator of j and -173/30?
30
Let u = -25 - -30. Calculate the lowest common multiple of 3 and u.
15
Let n be 2/(-2 - 222008/(-111044)). Let g = n - -2765. What is the common denominator of (46/(-2))/(11/(-1)) and g?
110
Find the common denominator of -63/4 and -42*-1*16/60.
20
What is the common denominator of (-335)/154 - 12/66 and -139/24?
168
Suppose 0 = f + f - 42. What is the smallest common multiple of f and 10?
210
Suppose 0 = -0*r - 3*r + 12. Let i be (-1 + 1 + r)*1. Find the common denominator of 37/10 and 8/i + 25/(-2).
10
Let i(m) = -7*m + 5. Let z be i(-4). Let y = z - 17. Calculate the smallest common multiple of y and 14.
112
Suppose 3*g - y = g + 18, 4*g = -5*y + 22. What is the smallest common multiple of 10 and g?
40
Suppose 0 = 3*x - 0*x + 2*y - 38, -14 = -x - y. Let b(s) = s**2 - 7*s - 6. What is the lowest common multiple of x and b(8)?
10
Let a(p) be the third derivative of -p**4/24 + p**3/6 + 2*p**2. Let n be a(-5). Let j = n + 0. What is the lowest common multiple of j and 8?
24
What is the least common multiple of 9 and 27/3 + (-2)/2?
72
Calculate the common denominator of ((-5)/(-2))/((-4)/(-1)) and (17/5)/((-2)/(-6)).
40
Let o(t) = 2*t**3 - 3*t**2 - t + 6. What is the lowest common multiple of 2 and o(3)?
30
Calculate the common denominator of -99/16 and (-228)/64 - (1 + -1).
16
Calculate the least common multiple of 41 and ((-1)/4)/((-5)/140).
287
Suppose 0 = -4*v + 4, -87 - 36 = -2*g - 3*v. What is the lowest common multiple of g and 8?
120
Let l(d) = 22*d**2 + d + 1. What is the least common multiple of l(-1) and 3 - (3 - (0 + 4))?
44
Suppose -3 - 2 = s. What is the common denominator of s/(75/(-12))*-3 and (-4)/(-18)*(-33)/6?
45
Let t = 5970 - 71731/12. Suppose 3*i - 5*i - 28 = 0. Calculate the common denominator of t and (127/i)/((-18)/21).
12
Let o(q) = 0 - 2 + 7*q + 6 - q**2. What is the smallest common multiple of o(5) and (1 - -1)/1 + 8?
70
Let i = 223 + -106. Let q = i - 471/4. What is the common denominator of q and 110*1/28 + -3?
28
Let s(b) = b**3 + 6*b**2 - 21*b - 10. What is the smallest common multiple of 18 and s(-8)?
90
Let a(t) = t**2 - 6*t + 7. Let p be a(5). Let d = p - 0. What is the common denominator of -8 and ((-106)/16 + d)*1?
8
What is the common denominator of 61/16 and ((-5)/(-225))/(2/85)?
144
Let u be (-16)/4*(-1)/4. Suppose -1 - u = -v. Suppose 0 = -4*h - l + 92, 5*h = -0*l - v*l + 118. Calculate the least common multiple of 24 and h.
264
Let k = -47 + 30. Let a = 24 + k. Calculate the smallest common multiple of 10 and 8/(-28) + 58/a.
40
Suppose -12 = -11*p + 8*p. What is the smallest common multiple of p and 1?
4
What is the common denominator of ((-3)/(-6) - (-165)/2)/(-8) and 17?
8
Let n be (-17)/4 + (-3)/(-12). Let t = n + 6. Find the common denominator of (-30)/(-56) - t/(-8) and -47/20.
140
Let g = 248587/12 - 20727. Calculate the common denominator of g and 79/8.
24
Let j(b) = b**2 + 7*b + 3. Let g be j(-7). Suppose -10 = -g*p + p. What is the least common multiple of 8 and p?
40
Let z be (2/(-57))/((-1272)/(-135514)). Let l = z + 16/1007. Find the common denominator of l and 23/2 + 5/15.
18
Let l = -3020/3 - -986. Let n = -17093471/10240 + -237/2048. Let t = n - -1679. Calculate the common denominator of l and t.
15
Suppose 0*a = -4*a + 28. Let v = -4 + a. Suppose 40 = -z + v*z - 4*w, -w = -z + 17. Calculate the least common multiple of z and 18.
126
Let v = 45 + -31. Suppose -v = -4*z - 2*r + 68, 0 = 3*z + 3*r - 63. Let m = -2 + z. Calculate the lowest common multiple of m and 10.
90
Suppose -s + 3*s + 12 = 0. Let z = -6 - -15. Let b = z + s. Calculate the least common multiple of 3 and b.
3
Let o be (0/(-3))/3 - -8. Suppose 0 = -4*l + o + 8. Calculate the smallest common multiple of l and 2.
4
Suppose 0 = 2*i + 8 - 4. Let y(u) = 5*u**2 + 4*u + 2. Calculate the lowest common multiple of y(i) and 12.
84
Let g = 15783 + -284173/18. Calculate the common denominator of g and -79/2.
18
Suppose 3*q + 3 - 9 = 0. Let n = -1 - 1. Let v = 14 - n. Calculate the lowest common multiple of v and q.
16
Let s = 5061/284 + 66/71. Let j = -3/151 - 9507/302. What is the common denominator of j and s?
4
Let i be (-18)/(-30) - (-24)/10. Let h = 5 + i. Calculate the least common multiple of 2 and h.
8
Let r be (-2802)/(-5) - 4/10. Let i = 238603/4 + -59107. Let j = i - r. What is the common denominator of j and 41/9?
36
Let q = -1351/8 - -3469/8. Let c = q - 5169/20. What is the common denominator of -10/9 and c?
90
Suppose -4*h = -31 - 1. Let k(a) = a + 2. Let w be k(8). Calculate the lowest common multiple of h and (-2)/((w/9)/(-5)).
72
Let p = -6 - 0. Let i = p - -10. What is the smallest common multiple of i and ((-3)/6)/((-1)/6)?
12
Let n(o) = o**3 - 7*o**2 + 4*o + 8. Let k be n(6). Let v(w) = w**3 + 5*w**2 + 2*w + 2. Calculate the least common multiple of v(k) and 20.
20
Suppose -3*d + 25 = -a, -2*a - 39 = -4*d - 5. Calculate the least common multiple of 2/d - 348/(-16) and 18.
198
What is the common denominator of 1*206/(-8) + 1 and ((-27)/12)/(21/8)?
28
Suppose 2*f = 2*h + 6*f - 8, -h - f + 4 = 0. Suppose u - h*v - 20 = 0, -u = u - 4*v - 40. What is the least common multiple of 22 and u?
220
Suppose 2*a + v = 79, 6*a - 52 = 5*a + 2*v. Calculate the least common multiple of 3 and a.
42
Calculate the common denominator of -55/7 and ((-3)/(-2))/(9/89).
42
What is the common denominator of -43/10 and (-2)/3 - 1/((-6)/(-116))?
10
Let a = 8664 + -104081/12. What is the common denominator of a and -55/18?
36
Let l be 1/(-2) - 110147/(-12). Let v = l - 9184. Calculate the common denominator of 43/16 and v.
48
What is the least common multiple of 16 and 16 + -2 + 4 - 4?
112
Let r = -2/9429 - 518563/150864. Find the common denominator of r and (8/32)/((-22)/68).
176
Suppose a - u = 2*u + 8, 2*a - 3*u = 19. Let h = -6 + 11. What is the smallest common multiple of h and a?
55
Let j be 3241/10*(-15)/4. Let z = j + 1212. Calculate the common denominator of z and ((-150)/16)/(1/1).
8
Suppose -4*v = 2*x - 16, 4*x + 5*v = 2*x + 18. Suppose -a - 2*z = 2*z - 22, x*z + 2 = 3*a. Calculate the smallest common multiple of a and (-1 - -2)*(1 - -5).
6
Suppose -18*l - 12 = -20*l. What is the smallest common multiple of 2 and 