2344819. Let u = x - 2694. Let l = 14407 - 317017/22. What is the common denominator of l and u?
110
What is the common denominator of -97/6 and ((-8)/440)/((-2)/365)?
66
Suppose -362 = -5*y - 2*p, 4*p + 2 + 14 = 0. Suppose -4*q = -y + 10. Calculate the least common multiple of 6 and q.
48
Let y(j) = 3*j**2 - 2*j + 3. Let b(g) = g. Let i be b(-2). Let x = i + 4. Calculate the smallest common multiple of 7 and y(x).
77
Let o(t) = t + 34. Let m be o(0). Suppose v + m = 2*v. Calculate the common denominator of -9 and v.
1
Let d be (-4)/(-34) + 29396/(-170). Let h = d + 3433/20. Find the common denominator of h and (1 - 2)/(12/(-109)).
60
Let v(g) = 2*g**2 - 2*g + 1. Let o be v(1). What is the smallest common multiple of 10 and ((-20)/2)/(o/(-2))?
20
Let g(a) be the second derivative of a**4/12 + a**3/3 - 3*a**2 - 2*a. Calculate the least common multiple of g(-6) and 14.
126
Let l = 1961081/323472 - 2/20217. What is the common denominator of 0 - (534/(-28))/(-3) and l?
112
Let a(t) = -t**2 + 3. Let r be a(0). Let u = 7 - r. Let n(o) = -3*o - 8. Calculate the lowest common multiple of u and n(-6).
20
Let f = -4/735 + -25211/4410. What is the common denominator of f and 214/(-40) - (-1)/(-2)?
180
Let m(g) = 62*g**3 + 7*g**2 - 18*g - 61*g**3 - 7 + 16*g. Let b(h) = -h**2 + 2*h - 4. Let q be b(3). Calculate the smallest common multiple of 3 and m(q).
21
Let w be (-278)/(-4)*90/(-5). Find the common denominator of 2/6 - w/(-270) and -14.
10
Let z = -682 - 697. Let x = -153074/111 - z. Let j = x + -4531/444. Find the common denominator of -24/5 and j.
20
Let r(c) = -c**3 + 2*c**2 + 6*c + 2. What is the least common multiple of 6 and r(3)?
66
Let a = 4180351/104 - 40195. Find the common denominator of -41/7 and a.
728
What is the common denominator of 431/117 - (-12)/(-54) and -119/10?
130
Let d(j) = -34*j. Let z be d(4). Let q = -48 - z. Suppose k = -3*k + q. What is the lowest common multiple of k and 20?
220
Let c(u) = u**2 + 3*u + 3. Let i be c(-3). Suppose 43 - 7 = -i*g. Let a = -3 - g. Calculate the least common multiple of a and 7.
63
Let v = 1883 + -1208. Let w = v + -4759/7. Find the common denominator of (-2)/80*214*-2 and w.
70
Calculate the common denominator of 11/20 and 238/112 - (5 - (2 + -1)).
40
Suppose -2*q - 3*q - 4*l - 323 = 0, -2*l + 185 = -3*q. Find the common denominator of (-1306)/(-288) - (-14)/q and -1 - 146*(-2)/(-40).
80
Let l = 5 - 2. Suppose 0*c - l*b - 13 = -4*c, 21 = 5*c + b. Calculate the lowest common multiple of c and 8.
8
Let h(t) = -t - 4. Let f be h(-4). Suppose 7 = o - f*o. Suppose -2*s = -o*s + 20. What is the lowest common multiple of s and 6?
12
Suppose 5*y + 47 - 12 = 0. Let x be (5/(-3))/(y/(-105)). Let b = -11 - x. Calculate the lowest common multiple of b and 10.
70
Suppose -48 = -0*p - 4*p. Calculate the least common multiple of 6 and p.
12
Suppose 0 = 3*a - 4*r + 9920, -2*a + 5*r - 9995 = -3391. Let z = -19783/6 - a. What is the common denominator of 37/6 and z?
6
Let h = -9344 - -756850/81. What is the common denominator of h and 115/6?
162
Suppose -2*z = -7*z + 1015. What is the common denominator of (-16)/40 - z/30 and 46/9?
18
Let k be (-9)/(-2) + 6/(-4). Suppose -30 = -k*g - 9. Calculate the smallest common multiple of 2 and g.
14
Let q be 2 + 4 + 3 + -2. Calculate the common denominator of 449/70 + 2/q and -49/5.
10
Suppose 0 = 6*z - 3*z + 27. Let a(w) = -w**2 - 9*w + 6. Calculate the smallest common multiple of 20 and a(z).
60
Let j(g) = -g - 1. Let l be j(-3). What is the common denominator of (-1614)/(-378) + (-6)/(-21) and l - 0 - (-12)/(-5)?
45
Let g = 2227/18 - 121. Find the common denominator of g and 23/22.
198
Let r = -116 + 166. Calculate the smallest common multiple of r and 10.
50
Let i = 905525/406582 - -2/18481. Let m = 446 + -7127/16. What is the common denominator of i and m?
176
Suppose -44 = -3*k - k. Let p be 4*(1 + (-22)/8). Let r = p + 14. What is the lowest common multiple of k and r?
77
Suppose 0 = -3*l - l + 64. Calculate the smallest common multiple of 8 and l.
16
Let s = 24 - 22. Find the common denominator of (-143)/(-468) - s/8 and 101/2.
18
Let h = 11 + -7. Suppose -2*a = -8*a + 60. What is the smallest common multiple of h and a?
20
Suppose -5*s = -3*s - 36. Calculate the least common multiple of s and 8.
72
Let r(t) = -65*t + 1. Let n be r(3). Calculate the common denominator of n/15 + 1/3 and -37/8.
40
Let w = -4 + 10. What is the smallest common multiple of 3*(3 + 2/w) and 16?
80
Let z be 12/4 - 3 - -2. Calculate the least common multiple of 11 and ((-5)/(-5))/(z/12).
66
Let v = 8 - -16. What is the common denominator of 2/6 - (-230)/v and 99/14?
84
Find the common denominator of -16/3 and -1 + -2 + 96/26.
39
Let n = -18 - -39. Calculate the least common multiple of n and 27.
189
Suppose 0 = 3*n - q + 5*q, 32 = 5*n - 4*q. What is the least common multiple of n and (-2)/(2/(-12) + 0)?
12
Let q be (-9)/(-3) + 785/(-208). Let y = 41/52 - q. Find the common denominator of y and 17/16.
16
Suppose -2*i - 22 = -6*i + 2*o, -2*o = 10. Calculate the common denominator of -61/16 and (-3)/i - (-27)/60.
80
Let t(k) = k**2 - 6. Let j be t(0). Let y(m) = m + 8. Calculate the lowest common multiple of (84/18)/((-2)/j) and y(0).
56
Let h = -19 + 69. Calculate the lowest common multiple of h and 12.
300
Let r = 11265/406 - 1018/29. Calculate the common denominator of r and -89/2.
14
Suppose 0 = 5*j - y + 85, 2*y + 6 = j - 2*j. What is the common denominator of 1/(-4) + (-14)/j and -53/4?
8
Suppose -5*b + 25039 - 9509 = 5*y, -2*b - 5*y = -6221. Suppose 0 = -v - 0*v + b. Let o = -62093/20 + v. Calculate the common denominator of o and -59/12.
60
Let r = -23 - -47. Calculate the smallest common multiple of r and 6.
24
Suppose 0 = -5*g + 4*q + 102, g + 5*q - 3*q - 26 = 0. What is the lowest common multiple of 12 and g?
132
Suppose 10 = -2*r + 7*r. Suppose -3*i + 12 = 4*x - 48, r*i - 5*x - 17 = 0. What is the lowest common multiple of i and 6?
48
What is the common denominator of -52/27 and ((-28)/(-15))/((-6)/(-5))?
27
Suppose 5*i + 6 = 2*r - 4, -i + 15 = 3*r. What is the lowest common multiple of r and 9?
45
Let x = 4 - 3. Suppose -5*f + 2 = -3*z - 0*f, -12 = -3*f. Calculate the smallest common multiple of z and 6 - (3/3)/x.
30
Let n = 3 + -1. Let f(w) = -4*w + 8 + 3*w + n*w. Calculate the least common multiple of f(-5) and 9.
9
Let n = -53864739/172865 + 1/34573. Let y = n - -308. Let f = -2193/5 - -441. Calculate the common denominator of f and y.
5
Let o be 26*(-26)/148 - -3. Let c = 3229/148 + o. Find the common denominator of c and 9/14.
28
Let o(q) = 4*q**2 + 6*q - 4. Let g be o(3). Suppose 2*a - 36 = -2*a. What is the smallest common multiple of a and (-2)/(-5) + 480/g?
90
Find the common denominator of -5/14 and (2/(-6))/((-20)/(-243)).
140
Let o be 1*(15/3 - 3). Suppose -5*x - 32 = -3*x - o*h, x - 3*h = -14. What is the common denominator of -41/11 and x?
11
Let o be (2 - (3 + -1))*1. Suppose 3*j - 33 - 42 = o. Suppose -5*x - j + 85 = 0. What is the lowest common multiple of 6 and x?
12
Let p = 18 + 0. What is the smallest common multiple of p and 6?
18
Find the common denominator of 77/8 and (-7)/(-7)*(-102)/(-4).
8
Let v = 3037/690 - 7/69. Let i = -1452 - -3324. Let m = 14951/8 - i. Find the common denominator of v and m.
40
Let l(p) = p**2 + 2*p - 3. Let u be l(3). What is the lowest common multiple of 2/(1*2/u) and 4?
12
Find the common denominator of 1/4*94/(-4) and 78/40 + 1 - (-36)/60.
40
Suppose 51 = 5*n - 4. Calculate the smallest common multiple of 12*(4 + (-21)/6) and n.
66
Let p = -52 - -66. Calculate the least common multiple of p and 12.
84
Calculate the lowest common multiple of 9 and (-972)/12*(7/(-3) - -2).
27
Calculate the least common multiple of (5 - 2 - 2) + (-30)/(-10) and 44.
44
Let j = 30 + -29. What is the least common multiple of 7 and j?
7
Calculate the common denominator of -89/4 and ((1 - (-105 + 3))/1)/(-24).
24
Let w = 23500/9 - 2604. What is the common denominator of w and -47/9?
9
Let r = 1746/7 + -249. Let j be 32/(-109)*87/(-42). Let q = -4/109 + j. What is the common denominator of r and q?
7
Suppose f - 4*f = 24. Let k = 10 - f. Suppose 0 = z - 14 + 6. What is the lowest common multiple of z and k?
72
Suppose 34 = -5*q - 51. Let i(b) = b**3