((-63)/(-70)) and f/(-28) + (-4)/14.
6
Let m(d) = -d**2 + 6*d + 8. Let w be (2/(-3))/((-3)/27). Let s = 4 - 2. What is the smallest common multiple of m(w) and s?
8
Let i(c) = c + 7. Let w(o) = -o**2 + 5*o + 10. What is the least common multiple of w(5) and i(-5)?
10
Let a be 4/(-14) - 258/(-21). Let f be (4/6)/(12/(-180)). Let n = a - f. What is the least common multiple of 14 and n?
154
Let t(q) = -7*q**2 + 8*q - 2. Let h(m) = -m**2 + m - 1. Let f(d) = 6*h(d) - t(d). Suppose 2*o = 3*o - 4. What is the smallest common multiple of f(4) and o?
4
Let s = -454959083725729/13818 - -32925103737. Let u = -2/2303 + s. What is the common denominator of 28/5 and u?
30
Let z = -5703 + 68297/12. What is the common denominator of z and -7/9?
36
Let a = 20/943 + 134489/16974. Find the common denominator of a and -103/10.
90
Let u be (15/2)/((-1)/2). Let o = u - -29. What is the common denominator of 1 - (-2)/o*46 and 6/11?
77
Let o = -30 - 4. Let u = o - -56. Let i(h) = 22*h**2. Calculate the lowest common multiple of i(-1) and u.
22
Let g(z) be the first derivative of z**2 - 6*z + 1. What is the least common multiple of g(8) and (0 + (-24)/(-3))/1?
40
Suppose 0 = 4*n - 0*n + 3*w - 16, -w = 5*n - 20. What is the lowest common multiple of 8 and n?
8
Suppose -5*l = -c + 72, -3*l - c - 2*c = 54. Let m = -1 - l. Calculate the least common multiple of m and 18.
126
Suppose 9 = -2*q + 5*j, j = 2*q - 4*q + 9. Suppose 0 = -2*a - 3*c + 2, -2*a - q*a + 22 = -c. Calculate the lowest common multiple of 10 and a.
20
Let k be (-2)/(1234/(-4)*-4). Let h = -3096/6787 - k. Find the common denominator of h and -99/4.
44
Let q(z) = -8*z. Let a(x) = 10*x**2 - 1. Let u be a(-1). Let t = 19 - u. Calculate the least common multiple of t and q(-1).
40
Let o = 1779/280 + -78/35. What is the common denominator of -29/4 and o?
8
Suppose 0 = 4*t - 10 - 10. Suppose 0*b + t*a + 59 = 4*b, 13 = 2*b + 3*a. Let d = 2236 - 9005/4. Calculate the common denominator of b and d.
4
Let w(n) = n**2 + 12*n + 3. Let d be w(-10). Let c = d - -29. Calculate the least common multiple of (15/2)/(9/c) and 10.
10
Calculate the common denominator of (-2 + 1617/36)*6/15 and 43/12.
12
Let g(w) = w**3 - 14*w**2 - 15*w + 11. What is the smallest common multiple of g(15) and 12?
132
Let o = -1/1213212787 + 28303041114461/7931985201406. Let q = 3/934 + o. Calculate the common denominator of q and 39/27 + 2 + 2.
63
Let x = 6 - 0. Calculate the smallest common multiple of 5 + (-2)/(-2 - -3) and x.
6
Suppose 5*h = 2*l - 0*l + 2, -5*h = -3*l + 2. What is the smallest common multiple of h and 36?
36
Let g = 2871 + -114909/40. What is the common denominator of -46/35 and g?
280
Let j(q) = 8*q - 2. Let m be j(6). Let w = m + -73. Let p = -18 - w. Calculate the smallest common multiple of 9 and p.
9
Suppose 2*f = -f + 27. Let x = f - -2. Suppose j + b = 10, j - 5*b + 3*b = 4. What is the lowest common multiple of x and j?
88
Find the common denominator of -21/38 and -3 - -7 - (-33)/(-14).
266
What is the common denominator of (25/(-6))/((-24)/36) and -35/11?
44
Suppose 5*b = 8 + 7. Calculate the common denominator of (-1)/b + (-160)/(-36) and -11/10.
90
What is the common denominator of 17/2 and (-7)/(182/4) - 738/104?
4
Let o(c) = 3*c - 26. What is the smallest common multiple of 2 and o(11)?
14
Let v be ((-1)/(-2))/(1067/5586). Let j = -7/97 + v. Find the common denominator of -7/10 and j.
110
Let h = -226420/30411 + 3/3379. Find the common denominator of -6/7 and h.
63
Suppose 42 = -0*i + i. Suppose -3*o - i + 3 = 0. Let b = -6 - o. What is the least common multiple of b and 10?
70
Suppose 2*b + 2*g - 52 = -2*g, 0 = -b - g + 22. Suppose 4*z - 54 = z + n, 2*n = 4*z - 70. Let v = z + 1. What is the smallest common multiple of v and b?
180
Suppose 3*q = 2*b - 5*b + 36, 18 = b - 5*q. Let p = b - 7. Suppose 5*v - 2*c = 9, -3 = -c - 5. Calculate the lowest common multiple of v and p.
6
Let k(j) = 2*j**2 + 6*j. Let v be (-21)/5 + (-3)/(-15). Let h be k(v). Find the common denominator of (3/h)/((-20)/464) and 149/12.
60
Suppose h = 5*h - 12. Find the common denominator of (-1)/h + 142/84 and 275/12 - (-2)/8.
42
Let c be 4/(-24) + (-55)/(-6). Let r = c + 9. Let x = -1 + 13. Calculate the lowest common multiple of r and x.
36
Let t(c) = c**3 - c**2 + c + 4. Let b(q) = q + 8. Let d be b(-8). What is the least common multiple of t(d) and 2?
4
Let t = -5/1014 + 10831/3042. Let x = 53761/11 + -4883. Calculate the common denominator of x and t.
99
Suppose 1 = -14*v + 15*v. Calculate the least common multiple of 63 and v.
63
Let r = 2469 + -10358. Let u = r + 157741/20. Let p = 57/4 - 13. Find the common denominator of p and u.
20
Let y(x) = x**3 - x**2 - x + 3. Let n be y(0). Suppose 3*q - n - 3 = 0. Let d = 9 + 1. Calculate the smallest common multiple of q and d.
10
Suppose 0 = 7*b + 35 - 175. Let z(q) = q - 9. Let k be z(7). What is the smallest common multiple of (-3)/k*(-16)/(-6) and b?
20
Let d = -6 - -9. Let x = 9 - d. Let b = -4 + x. Calculate the lowest common multiple of b and 14.
14
What is the least common multiple of 9 and ((-5)/(-15))/(0 + (-2)/(-36))?
18
Let q be 20/(-116)*(-228)/10. Let w = q + -2553/406. Find the common denominator of (-2)/7 - (-2980)/336 and w.
84
Suppose 0 = -3*b + 3 - 0. Calculate the lowest common multiple of b and 10.
10
Calculate the common denominator of 85/4 and (1788/32)/(27/4).
36
Suppose -30 = -5*c - 5*b, -5*b = 2*c - 0*b - 27. Let q = 3 - c. Suppose -3*g + 3 = -q*g. What is the lowest common multiple of 5 and g?
15
Let n = 8141 - 122066/15. What is the common denominator of -5/3 and n?
15
Calculate the common denominator of -11/20 and ((-3542)/576)/(-11) + 4/18.
160
Suppose 3*a = -5*q + 231, -2*q = q - 5*a - 125. Let n(m) = -m**3 - 7*m**2 - 5*m + 7. What is the lowest common multiple of (-10)/q - 56/(-9) and n(-6)?
6
Suppose 3*l - 5*q + 9372 = 0, -2*q - q = 9. Let a = l + 12587/4. Calculate the common denominator of a and -4/13.
52
Let f = -23714/9 - -2631. Find the common denominator of f and 41/21.
63
Suppose 6*j - 144 = -12. Suppose 2*b + 0*b = j. Suppose 0 = 4*h - 0 - 32. Calculate the least common multiple of b and h.
88
Let i(m) be the second derivative of m**4/12 - m**3/3 - 3*m**2/2 - m. Let v be i(-2). Suppose v*p - 70 = -0. What is the lowest common multiple of 6 and p?
42
Let v = 4 - 6. Find the common denominator of (123/24)/(3/v) and 61/4.
12
Let q(s) = -s**3 - 2*s**2 - s - 1. Let u be -3 - (1 + -5) - -3. Suppose r + u*o = 5*r - 28, 4*r - 5*o = 25. What is the least common multiple of r and q(-2)?
10
Let r = -28006937 - -12435070189/444. Let x = r - 1/148. What is the common denominator of x and -91/16?
48
Let u(r) = r**3 - r**2 - r + 3. Let w = 5 + -5. Suppose 0 = 4*g - 2*i - 28, -2*i - 3*i = -g + 7. What is the least common multiple of g and u(w)?
21
Let t(p) be the first derivative of p**4/4 - 5*p**3/3 + 3*p**2/2 - 3*p + 1. Let c be t(4). Calculate the common denominator of 89/8 and 44/c + (-3)/(-3).
56
Let d = 12 + -18. Calculate the common denominator of 35/3 and (-105)/d + (2 - 5).
6
Let m = -245/8 - -1055/24. What is the common denominator of m and (-455)/15*6/8?
12
Calculate the least common multiple of 9/15*11/((-33)/(-30)) and 90.
90
Suppose -j = 3 - 6. Suppose -2*h = -8*a + j*a - 33, -h = 3*a + 11. Suppose -2 = 3*r - h*r. Calculate the smallest common multiple of r and 18.
18
Let r be -1*(-2 - 3/3). Let i(w) = w**2 + 6*w - 5. Let n be i(-7). Suppose n*c + 10 = r*c. What is the smallest common multiple of c and 2?
10
Let r be 6 + -3 - 0 - 2. Let w = 7747/14100 + 2/3525. Calculate the common denominator of w and r + 54/(-44) + -2.
220
Let f be 0 + -2 - -16*1. What is the common denominator of 0 - -103*(-1)/f and (-2)/6 - (-415)/(-30)?
42
Let o = -1/89 - -456/979. Let n be (-2135)/711 + (-1 - -4). Let l = n + 6638/711. Calculate the common denominator of l and o.
33
Let d be (-116)/(-6) + 4/6. Suppose -h + t - 34 = -4*h, d = h - 4*t. Calculate the lowest common multiple of h and 8.
24
Suppose 5*i + 15 = 8*i. Suppose -4*u + 20 = -0*u. Suppose -4*q = -3*h - 3 - u, 0 = 2*q - i*h + 10. Calculate the least common multiple of 1 and q.
5
Suppose 5*n = 4 + 1. Suppose 0 = 2*s - 6, 2*s + 5 = -5*r - 19. Calculate the smallest common multiple of (-4)/r + (-2)/(-6) and n.
1