
Suppose 4 = 4*p - 40. Let j(q) = -2 - q**2 - 12*q + 15 - 3. Calculate the least common multiple of j(-12) and p.
110
Suppose 3*q - 6 = 24. Suppose 3*r = 0, -5*m + 2*m = 4*r - 66. What is the least common multiple of q and m?
110
Let f = 52/21 + -1571/168. Calculate the common denominator of -31/10 and f.
40
Suppose -8 = 5*h - 7*h. Calculate the lowest common multiple of h and 6.
12
Suppose -y = -3*l - 3, 4*l = -5 + 1. Suppose -m + y*m = -4. What is the smallest common multiple of m and 20?
20
Let q = -1531/14 + 608/7. What is the common denominator of 149/6 and q?
6
Let h(d) = -d**3 - 3*d**2 + 7*d - 1. Calculate the lowest common multiple of 12 and h(-5).
84
Suppose -4*f = -2*k + 22, -13 = 4*f - 5*k + 18. Let t = 8 + f. What is the smallest common multiple of 20 and t?
20
Suppose 5*i + 60 = 3*i. Calculate the common denominator of (-2)/3 + 91/i and -56/11.
110
Let g = -4042/19 - -86871/494. Let p = g - -57/13. What is the common denominator of (((-339)/15)/1)/(-4) and p?
20
Let r(o) = 4*o**3 - 5*o**2 + 2*o + 3. Let n be r(3). Suppose -3*y + 5*f + n = 0, -2*f = -y - f + 24. What is the smallest common multiple of 16 and y?
48
Let d(p) = -p**2 + 6*p - 6. Let c be (8 + 0)/2 + 2. Let v be (-3)/(6/4) + c. Calculate the least common multiple of d(v) and 7.
14
Suppose -14*g - l + 13 = -9*g, -4*g + 5*l = -22. Let d(m) = -m + 9. What is the lowest common multiple of g and d(0)?
9
What is the common denominator of -8/9 and 254/30 - (-2)/10?
9
Let v(a) = -a**3 - 8*a**2 - 4*a + 13. Let m be v(-9). Suppose -4*n + 656 = 3*x, -3*x - 2*n + 788 = m. What is the least common multiple of x/12 + (-1)/3 and 20?
180
Suppose f - 2*f + 71 = -5*r, -27 = 2*r + f. Calculate the common denominator of 94/r*(-7)/(-6) and (-6)/((24/50)/(-3)).
6
Let s = -1 - -7. What is the least common multiple of 16 and s?
48
Calculate the common denominator of -131/12 and 1*((-2)/13 - (-1059)/546).
84
Let u(n) = -7*n - 2. Let g = 9 - 11. What is the least common multiple of 14 and u(g)?
84
Suppose 48 = 3*v + v. Let a = -13 - -16. Suppose 2*k + v = 2*d, a*k + k = 8. What is the smallest common multiple of 14 and d?
56
Let a be (2*-2)/((-8)/12). Suppose -4*b - o = -14, -2*b + 2*o = a*o. Calculate the smallest common multiple of b and 20.
20
Calculate the common denominator of 41/2 and (29/12 - 2) + (-2)/4.
12
Suppose -3*x = 492 + 1068. Let r = -5734/11 - x. Suppose 3*m + 2*z - 4 + 0 = 0, -5*z = 5. Find the common denominator of m and r.
11
Suppose -q = 2*r, 4*q + 2*r = r + 28. Suppose -90 = -q*x + 3*x. Calculate the least common multiple of 2/3 + (-34)/(-3) and x.
36
Let n = 64245/172 - 162/43. Let k = -769/2 + n. Find the common denominator of k and 57/14.
28
Let b(s) = -s**2 - 13*s + 8. Let m = 33 - 15. What is the lowest common multiple of m and b(-13)?
72
Suppose 4 = k - 1. Suppose 0 = -5*t - 3*d + 71, -t - 63 = -4*t + k*d. Calculate the least common multiple of t and ((-48)/(-9))/((-6)/(-9)).
16
Let y = -545/44 - 41/22. Calculate the common denominator of -69/14 and y.
28
Suppose 4*z = -3*c + 56, 5*z - 2*c = 81 - 11. What is the least common multiple of z and 14?
14
Let m(d) = 97*d - 4. Let t be m(8). Let j be (-2 - t/(-382))/2. Let i = j + -959/382. What is the common denominator of -23/3 and i?
6
Suppose 702 = -2*k + 5*k. What is the smallest common multiple of 7 and k?
1638
Calculate the common denominator of -1 + 1 + 1 + (-74)/12 and -77/6.
6
Let l = 5 + -9. What is the least common multiple of ((-4)/l)/(1/8) and 1?
8
Let d = -314557/60 - -17594/3. Let h = d + -616. Let x = h + -6. Calculate the common denominator of 1/2 and x.
20
Let q(y) = y**2 + 6. Let l(n) = -n**2 - 12*n + 33. What is the least common multiple of q(0) and l(-14)?
30
Let l be ((-3)/(-4))/(1/8). Find the common denominator of 25/15 + (-1)/l and -131/6.
6
Suppose 0 = -4*c + 35 + 29. What is the least common multiple of 8 and c?
16
Let i be 1*(6 + (-1 - -2)). Suppose -5*w + z + 5 = -i, w = -z. Calculate the least common multiple of w and 3.
6
Find the common denominator of (-44)/(-132) + 0 + 250/24 and -26*(-6)/88 - 1.
44
Calculate the common denominator of 2/(8/(-86)) + 0/(-53) and -19/9.
18
Let j = 206799/22 + -9402. Let v = -1/6263 - 369501/100208. Calculate the common denominator of j and v.
176
Find the common denominator of (-6)/(-4) + (-19)/(-8) and 89/4.
8
Suppose 3*l - 8 = -c + 2*l, 0 = 5*c + 3*l - 46. Calculate the smallest common multiple of 7 and c.
77
Let g = 24863/6 + -4133. What is the common denominator of g and -75/2?
6
Let g(v) = 6*v - 9. What is the lowest common multiple of g(3) and 11?
99
Calculate the common denominator of ((-3)/48)/((-21)/14) and -149/12.
24
Calculate the common denominator of 254/12*1 - (-3 + 7) and -19/40.
120
Calculate the smallest common multiple of (18/(-12))/((-3)/4) - -8 and 20.
20
Let h be (-4914)/555 + (-4)/(-10). Let c = -2/37 - h. Find the common denominator of c and (4 - 188/8)*2.
5
What is the least common multiple of 16/6*(-6)/(-8) and 3?
6
Suppose 3*a + 0*a + 15 = 0. Let n = a + 7. What is the least common multiple of n and 10?
10
Let z = -27 + 15. Let g = z + 30. Calculate the least common multiple of g and 20.
180
Suppose 0 = -2*p - 2*p + 16. Suppose p*k - 2*k = 40. Calculate the lowest common multiple of k and 22.
220
Suppose 18 = 2*j - 6. Let s(q) = -q + 11. What is the smallest common multiple of s(5) and j?
12
Calculate the smallest common multiple of 0 - -7 - ((-10)/(-2) - 4) and 2.
6
What is the lowest common multiple of 3 and (-156)/(-27) + (-2 - 60/(-27))?
6
Let s(q) = q**3 + 8*q**2 + 7*q + 5. What is the least common multiple of 8 and s(-7)?
40
Suppose 2*p - 2 = 6. Suppose r - 48 = -47. Calculate the lowest common multiple of r and p.
4
Suppose 5*l - 48 = l. What is the lowest common multiple of l and 16?
48
Suppose -2*v + 18 = -v. Calculate the lowest common multiple of 6 and v.
18
Let h = -75105/4484 + -1/2242. Let t = -19027/10 - -1906. What is the common denominator of h and t?
20
Let y be 22/20*670/12. Let x = 61 - y. Calculate the common denominator of x and (-82)/(-28) - 10/(-5).
84
Let j = 43 - 33. What is the lowest common multiple of 12 and j?
60
Suppose 10 = -5*p, -2*a - 3*p = 2*a - 42. What is the smallest common multiple of 4/(-10) - 17/(-5) and a + (-7)/(21/9)?
9
Let i = 46 - 35. What is the lowest common multiple of i and 4?
44
Let h = -1 + -8. Let w(p) = -p**3 - 10*p**2 - 10*p + 13. What is the lowest common multiple of w(h) and 12?
132
Let h = -4259/174 + 444/29. Find the common denominator of h and (-98)/12 + (-2)/(-1).
6
Suppose 2*a - 7*a = -3*l - 27, -l - 16 = -4*a. Let w(d) = -d + 4. Let p(s) = 2*s**2 + 5*s - 3. What is the lowest common multiple of p(-5) and w(l)?
88
Let h = 2 + -10. Calculate the smallest common multiple of 16 and 2/(-4) - 36/h.
16
Let t = 1033 - 651. Let h = t - 1441/4. Find the common denominator of -71/9 and h.
36
Let t = 793 + -3203/4. Let r be (-72)/(-90)*5/2. Suppose -r*g - 5*w + 85 = -2*w, -w - 163 = -4*g. What is the common denominator of g and t?
4
Let m be 2/(1 + (-5550)/5546). Let d = -2959234 - -32521118/11. Let y = d - m. What is the common denominator of -19/9 and y?
99
Suppose w - 2 + 8 = 0. Let t = -9 - w. Find the common denominator of -36 and ((-111)/27*t)/1.
3
Let q(g) = g**3 - g - 2. Let c(p) = 1 - 4*p + 3 - 6. Calculate the smallest common multiple of c(-2) and q(3).
66
Let w = -102773/12 + 8558. What is the common denominator of 75/14 and w?
84
Find the common denominator of (0 - (-58)/(-8))/(-5) and (-3115)/350 + (-2)/5.
20
Let m(w) be the third derivative of w**4/4 + w**2. Let r be m(-2). Find the common denominator of (-16)/(-10) - 6/r and 51/2.
10
Let l = -1687442 + 151865299/90. Let h = 13/45 + l. Let f = -2527 - -22679/9. What is the common denominator of h and f?
18
Suppose -6*r + 23 = -7. What is the smallest common multiple of 12 and r?
60
Let y(o) = 2*o + 15. What is the lowest common multiple of y(-5) and 27?
135
Let h be 5/(-20) + (-18)/(-8). Suppose 0 = h*c + 3*l + l - 20, -l = 0. Calculate the smallest common multiple of c and 10.
10
Let j be 3*(-2)/(-6)*18. Suppose -21 = 2*p + 3*o, 2*p + 3*p - 4*o + j = 0. What is the common denominator of 2/3 - 272/p and -53/3?
3
Suppose s = -0*m - 3*m + 8, 4*m + 3*s - 14 = 0. Calculate the smallest common multiple of m and 14.
14
Let