767 - -17421724557. Let s = m - 6/2797. Calculate the common denominator of ((-13)/40 - 0)*4 and s.
110
Suppose 3*a + 5*r + 23 = -2, 2*a = -4*r - 20. Let z = -3 - a. Calculate the common denominator of z and -22.
1
What is the common denominator of -43/18 and 4/22 - (-1461)/(-594)?
18
Let w = 17 + -14. What is the smallest common multiple of w and 3?
3
Find the common denominator of -51/62 and ((-61)/(-18))/(39/(-9) - -4).
186
Let s(u) = 2*u**2 + 26*u + 28. Calculate the smallest common multiple of 10 and s(-12).
20
What is the smallest common multiple of 8 and (2*24)/3*1?
16
Let c(t) = 59*t + 2. Let i be c(2). Let a be (7 + -5)*(-2 - -1). What is the common denominator of a/3*999/i and 71/4?
20
Let h(j) = -3*j**3 - j**2 - j - 1. Let i(s) = 2*s**2 - 2*s - 3. Calculate the least common multiple of i(3) and h(-1).
18
Suppose 125 = 5*k + 470. Let r be -4*(-2)/4 - k. Suppose 4*u + 5*s - r + 24 = 0, -s - 5 = -u. What is the smallest common multiple of 2 and u?
8
Let l(s) = -3*s**3 - s**2 + 2*s. Let n be l(-2). Suppose 0 = q - 4 - n. What is the smallest common multiple of 6 and q?
60
Suppose -25 = -2*x - 3*x. Suppose -2*s + 9 - x = 0. What is the least common multiple of 1 and s?
2
Let k = -4/515 + 14991/7210. What is the common denominator of k and -77/72?
504
Let c be -1 - 0 - (-317)/48. Let o = -47/12 + c. Calculate the common denominator of o and -47/12.
48
Suppose -2*p - 22 = -4*p. What is the least common multiple of 11 and p?
11
Suppose -3*d - 2*d = -10. Suppose 5 + 23 = d*o. Let u = 60 + -42. Calculate the smallest common multiple of o and u.
126
Let t = 31939/6 - 5347. Calculate the common denominator of -111/22 and t.
66
Let o = -20386/11 - -1849. What is the common denominator of o and 63/((1 - (-3)/(-15))*-5)?
44
Let n(s) = 5*s. Let u be n(1). Suppose -3*t = -4*t + u. Calculate the lowest common multiple of t and 2.
10
Suppose 2*p + 3*p - 85 = 0. Let l = p - 3. Let r = 25 + -7. What is the least common multiple of l and r?
126
Let f(y) = -y**2 + 2*y + 2. Let l be f(2). Suppose -1 = l*m - 5. Let i(r) = 4*r + 2. Calculate the lowest common multiple of i(m) and 6.
30
Let r = -5 - -8. Let b = 6 - r. Calculate the lowest common multiple of b and (-2)/(-10) + 18/10.
6
Find the common denominator of -67/42 and (-1)/(20/67) - (-28)/112.
210
Let q(h) = 2*h**2 - 2*h - 4. Suppose -2*i = -0*i - 6. Let u(r) = -r**3 + 3*r**2 + 2*r + 2. Calculate the least common multiple of u(3) and q(i).
8
Suppose 9 = 5*u - 1. Suppose -u - 18 = -2*t. What is the common denominator of (5 - 2) + (-48)/t and -1/9?
45
Suppose -1 = -4*q + 3. Let f = -1 - q. What is the smallest common multiple of 14 and (-5 - -2 - f) + 23?
154
Suppose 0 = 4*d - 2*a + 6, -3 = a + 2. What is the common denominator of ((-1)/(-6))/((-3)/(-447)) and (-9)/1*d/(-8)?
6
Suppose -6 = 3*m - m. Let i(f) = -f**3 - 2*f**2 + 3*f + 2. What is the lowest common multiple of i(m) and 7?
14
What is the common denominator of 27/7 and (2/240)/(((-16)/684)/(-2))?
560
Suppose 4626 = 5*s + 2*o - 2027, -4*s + 3*o + 5327 = 0. Let d be -1212*(10/(-9))/1. Let n = s - d. Calculate the common denominator of -59/2 and n.
6
Suppose 4*y - 3*i - 1 = 3*y, i + 3 = 3*y. Let p be 2 - y/((-1)/89). What is the common denominator of -71/8 and p/(-5) + 1/5?
8
Let h = 248767/22 - 11312. What is the common denominator of -51/4 and h?
44
Let h = -4 - -7. Suppose -9 = -f - 6. Calculate the lowest common multiple of f and h.
3
What is the lowest common multiple of 9 and (10/(-25))/((-4)/80)?
72
Suppose 0 = -6*p + 8*p + 360. What is the common denominator of -65/22 and (483/p)/(-7)*3?
220
Let s(x) = -5*x**3 + 7*x**2 - 8*x - 9. Let m be s(7). Let i be 28704/m + (-1)/(-4). Let j = i - 12/479. What is the common denominator of j and 47/3?
12
Let d = -290 + 629. Let c = -10433/5 - -2097. Find the common denominator of (-2)/(-9)*d/4 and c.
30
Suppose 0 = -12*n + 14*n. Suppose n = 2*c - 51 + 7. Let i = 1804 - 7163/4. What is the common denominator of i and c?
4
Let q(r) be the first derivative of -r**2 - 12*r + 1. Suppose 2*s = -c + 15, 0*s - 5*s = -4*c - 31. What is the lowest common multiple of s and q(-8)?
28
Let x = 233/21238 - 6/259. Let k = -3923/1066 + x. Let y = 423/104 + k. What is the common denominator of 41/14 and y?
56
Let y = 1378 - 13751/10. What is the common denominator of y and 101/12?
60
Let i be 0 - (-2)/(4344/19446814). Let g = 38115/181 - i. Let x = -8721 - g. Calculate the common denominator of x and -95/18.
18
Suppose -4*n + 34 - 2 = 0. Let s = 26/49 + 902/147. Calculate the common denominator of s and 7*(-1)/n + -1.
24
Calculate the common denominator of 11/6 and (-2)/5*860/48.
6
Suppose 4*v + 50 = 5*h, -2*h - 2*v = 5 - 43. Suppose q = -5*y + 45, 0*q + 50 = 3*q - 2*y. Calculate the smallest common multiple of h and q.
140
Let i be 1444 - -7 - -3*1. Let r = 2985/2 - i. Find the common denominator of r and -5/8.
8
Let i be (240/(-25))/((-2)/10). Let g = -26 + i. Suppose -o = 4*a - 24, -3*a + 7 = -2*o + g. Calculate the least common multiple of 14 and o.
84
Let q(x) = x**2 + 6*x + 2. Calculate the smallest common multiple of q(-6) and ((-12)/(-10))/(6/20).
4
Let a be (-14)/(-3) - (-4)/(-6). Suppose -4*j + 53 = 3*u, -a*j - 2*u + 38 = -4*u. Suppose 5*v = 51 - j. What is the least common multiple of v and 4?
8
Let r be (9/(-6))/((-6)/8). Suppose -4*a = -3*k - 8, -k - 2 = -r*a + k. Suppose -1 + 16 = a*w. What is the least common multiple of w and 11?
33
Let h = 8 + -3. Suppose 0 = 2*w - h*w. Calculate the common denominator of 35/2 and (-92)/18 - (1 - w).
18
Let w be (1 + -49702)*66/(-341685). Let k = w - 2/7593. What is the common denominator of -107/10 and k?
10
Let v = 5/529 + 35413/3174. What is the common denominator of v and -7/41?
246
Let g = 11 + -18. Let p = 13 + g. Calculate the least common multiple of p and 4.
12
Let l = -8 + 26. What is the lowest common multiple of l and ((-4)/6)/((-1)/3)?
18
Let l(d) = -d**2 - 6*d + 3. Let z be l(-6). Suppose z*i = 4*i. Suppose 2*n + 5*o - 23 = i, 4*n + 2*o + o = 25. What is the lowest common multiple of n and 20?
20
Let f = 11 - 5. Calculate the lowest common multiple of f and 6.
6
Let g be (54/(-120))/(2/(-1742)). Let s = g - 396. What is the common denominator of s and -19/12?
60
Suppose 2*i - 5*i + 6 = x, 4*x - 16 = -4*i. Let r be (x + -5)/2 - 155. What is the least common multiple of 9 and 6/(-15) - r/15?
90
Suppose -v = 2 - 20. Find the common denominator of (-2)/1 - 2/7 and ((-2)/v)/(4/(-606)).
42
Let h be (-2)/8 - (-21)/4. Let i be (-42)/(-8) - h/20. Suppose -i*n + 3*n = -28. Calculate the lowest common multiple of n and 22.
154
Let s = -1 + 5. Suppose 0 = -s*l + 5*l - 5. Calculate the lowest common multiple of l and 11 - (6/(-3) - -2).
55
Suppose 11*b - 15 = 6*b. Suppose v = b*i + 13, 3*v + 2*i - 7*i - 51 = 0. Calculate the smallest common multiple of v and 18.
198
Let m(s) = s**2 - 9*s + 8. Let a be 1/((-2)/(-6))*3. Let d be m(a). What is the common denominator of (-2)/d - 260/(-32) and 51/11?
88
Let q = -132 - -306. Suppose 6*z - q = -42. Suppose -3*m + 36 = -0. What is the least common multiple of m and z?
132
Let b = 24 + -3. Let o = b - 1. What is the least common multiple of 18 and o?
180
Suppose -3*w + 34423 = 4*b, 5*b - 2*w = w + 43049. Suppose -n = 3*n + b. Let d = n - -30179/14. Calculate the common denominator of -53/22 and d.
154
Suppose g + 0*n = -4*n + 18, -3*g = n - 21. Let a(w) = w**3 - 2*w**2 + 2*w - 3. What is the lowest common multiple of g and a(3)?
12
What is the smallest common multiple of 20 and 1204/20 - (-1)/(-5)?
60
Let s = 335/26 - 18/13. Suppose -b = 4*b + 2*w + 230, 5*w - 25 = 0. Calculate the common denominator of s and b.
2
Suppose b - 52 = -3*b. Suppose 4*v + b - 53 = 0. Calculate the lowest common multiple of -20*9/((-135)/6) and v.
40
Let o(r) = -43*r**3 - 3*r**2 + 3*r + 3. Let c be o(-2). Let n = -637/2 + c. Calculate the common denominator of -29/5 and n.
10
Let b be (-2719)/5*(-19)/(-2). Let q = b - -5176. Let j = 1801/6 - 2728/9. Find the common denominator of q and j.
90
Let g(a) = -659*a - 3. Let p be g(-7). Let t = p + -64597/14. Find the common denominator of t and 41/8.
56
Suppose -4*x + 3*m + 48 = 0, 5*m + 11 + 9 = 0. What is the lowest common multiple of 3 and x?
9
Let t = 7625/19746 + 3/1097. Calculate the common den