Let t be (-10)/45 + (-184)/(-18). Suppose -t = 5*h - 0*h. Find the common denominator of (-2)/48*3/h and 111/14.
112
Let a = 164 + -90. Find the common denominator of ((-18)/33)/(8/a) and -71/8.
88
Let j = 2 - -5. What is the lowest common multiple of j and 6?
42
Let q = -110396/27 - -4090. What is the common denominator of 17/33 and q?
297
Calculate the lowest common multiple of 2*4*(-1)/(-2) and 6.
12
Let p be 4/14 - 10971/7. Let g = 25061/16 + p. Find the common denominator of (-2)/(-8) + 98/(-24) and g.
48
Let v(k) = k**3 + 7*k**2 + k + 9. What is the smallest common multiple of 7 and v(-7)?
14
Let k = 848 + -5983/7. Find the common denominator of -6/5 and k.
35
Let j = -49/4 - -23/4. Let v be -8*1*606/14. Let s = 345 + v. Find the common denominator of j and s.
14
Let c = 31 - 25. What is the smallest common multiple of (-4)/(-2) + -1 + 9 and c?
30
Find the common denominator of -12 and (30 - -9)/(8/1).
8
Let v = -124 - -128. What is the smallest common multiple of v and 40?
40
Let f(g) be the third derivative of -g**6/120 - 2*g**5/15 - g**4/4 + 3*g**3/2 - 2*g**2. Calculate the least common multiple of f(-7) and 6.
6
Let z = 9/49 - -1010/637. Calculate the common denominator of z and -47/2.
26
Let z(d) = d**2 + 3*d + 6. Suppose 4*l + 48 = -32. Let v = 40 + l. What is the lowest common multiple of z(-5) and v?
80
Calculate the least common multiple of 4 and (-2)/1 + 12 + 1.
44
Let o = -25 + 41. Let m = -10 + o. Suppose 5*f - 27 = g + 2*g, -2*g + 8 = f. What is the smallest common multiple of f and m?
6
Suppose 3*f + 1 = -2. Let l be -6 - (-2 - 0/f). Calculate the lowest common multiple of 12 and ((-2)/l)/(1/24).
12
Suppose 0 = -6*q + 4*q + 5*m + 21, m = -5*q + 39. Let h = q + -4. Suppose p - h*p + 117 = 0. Find the common denominator of p and 58/7.
7
Let a = -4/5041825 + 53668210403/10083650. Let c = a - 5316. Let v = -18812 - -263481/14. What is the common denominator of c and v?
70
Let v(s) = s**2 + s - 2. Let r be v(-3). Suppose r*u - 80 = -16. What is the lowest common multiple of u and -12*2*(-6)/8?
144
What is the smallest common multiple of 20/12 - 196/(-12) and 22?
198
Let s = 10099/18 - 560. Find the common denominator of s and -53/5.
90
Suppose -3*k = r - 0*r - 13, 0 = 5*k - 15. Let m(n) = 2. Let h(f) = f - 4. Let z(l) = 2*h(l) + 5*m(l). Calculate the lowest common multiple of 3 and z(r).
30
Let c be (1/(-21))/((-440)/76662). Let z = -1/308 - c. Let l = -148263/90230 + 2/6445. What is the common denominator of l and z?
70
Let k = 0 + 0. Suppose 0 = y + g - 5, 3*g - 2 - 7 = -2*y. What is the lowest common multiple of 6 + k/1 - 0 and y?
6
Suppose -6 = 5*p - 4*j, 5*j - 4*j + 6 = 5*p. Suppose -p*v = -3*q + 11 + 26, 0 = -3*q + 5*v + 52. What is the least common multiple of 8 and q?
72
Suppose 2*p - 59 = -2*u + u, -p = 3*u - 182. What is the least common multiple of 9 and u?
549
Calculate the smallest common multiple of 4*(3 + (-22)/8) and 2.
2
Suppose -2*u + 10 = 3*b, 4*b = u + 2*u + 19. Suppose -2*x - 144 = x. Let t = -30 - x. What is the lowest common multiple of t and b?
36
What is the common denominator of (3 - 1) + -6*3 and -5/2?
2
Let v = -9 - -12. Suppose 0 = v*l - 46 - 14. Calculate the lowest common multiple of 6 and l.
60
Let i = -27 - -35. What is the lowest common multiple of 46 and i?
184
Let w = 26 + -16. What is the smallest common multiple of w and 5?
10
Let t be (-159576)/(-84) - 2/(-7). Let l = 20938/11 - t. Find the common denominator of -23/21 and l.
231
Suppose 0 = 4*d - o - 91, -2*o = 8 - 2. Calculate the least common multiple of 16 and d.
176
Suppose 5*x - 17 - 73 = 0. Suppose 10 = -f - 4*f. Let q = f - -10. What is the smallest common multiple of x and q?
72
Suppose -2*h = 2*h + 12. Let o = 22 + -10. What is the smallest common multiple of o and (-8)/12 - 44/h?
84
Let w = 5 - 3. Let h(u) = -4*u**2 + u - 8*u**3 + 8*u**2 - 5 + 7*u**3 + 4*u**2. Calculate the least common multiple of h(8) and w.
6
Find the common denominator of 85/2 and -1*2*-39*(-2)/96.
8
Let x = 414/665 - 40541/3990. Let w = x + -127/35. Find the common denominator of w and 31/2.
6
Let f = -455474/2622705 - -4/49485. Let y = f - 51307/2120. Let p = -25/8 - y. What is the common denominator of 83/8 and p?
8
Suppose -2*y - 5*z = 70, -2*y - 5*z = -y + 45. Suppose -3*p + 4 = h, -4*p - 28 = -0*h - 2*h. Calculate the least common multiple of 3 and (-2)/h - 180/y.
21
Let l(r) = -2*r**3 - 5*r**2 - 5*r - 4. Suppose g = 4*a - 120, -150 = 2*a - 7*a + g. Calculate the least common multiple of l(-3) and a.
60
Suppose 3*h - 18 = 2*h. What is the smallest common multiple of h and 11?
198
Let o = 30 + -25. Let j(g) = 2*g - 7. Calculate the smallest common multiple of j(5) and o.
15
Let d(a) = a**2 + 4. Calculate the least common multiple of 8 and d(0).
8
Let v(a) = -19*a - 5. What is the least common multiple of 112 and v(-1)?
112
Let w = 636 + -351. Let p = 19753/7 + -2829. Calculate the common denominator of -3 + w/35 - 3 and p.
7
Let b = -2 - 1. Let m be b/(-1780)*24/81. Let s = -188267/64080 + m. Calculate the common denominator of 95/8 and s.
16
Suppose 0 = 4*t - 5*k + 17, 4*k - 12 = -0*t + 4*t. Let q(w) = w**2 + 4*w - 3. Calculate the least common multiple of q(t) and 2.
18
What is the common denominator of 725/(-200) - 1*4 and -19/7?
56
Let v(m) = m**3 - 9*m**2 + 3*m - 10. Let h be v(7). Let u = h + 37. What is the common denominator of u and 66/108 - 1/(-2)?
9
Suppose 4*d = 5*s + 1735, 4*d + 158 - 852 = 2*s. Let z = s + 608. Calculate the common denominator of 5/22 and 0 + z/(-60) + 2.
220
Let x(r) = r**3 - 5*r**2 + 3*r. Let d be x(3). Suppose 3*t + 3*t = -6. Calculate the common denominator of -7/11 and ((-62)/d)/(t/3).
33
Let c(b) = b**3 + 8*b**2 + 7*b - 8. Calculate the smallest common multiple of 14 and c(-6).
154
Suppose -3 - 11 = -s. Calculate the lowest common multiple of s and 8.
56
Let b = 19/109 + -7417/654. Calculate the common denominator of -35/4 and b.
12
Suppose 0*p + 78 = 2*p - 2*d, -5*p - 4*d + 177 = 0. Suppose 3*x - 29 = p. Calculate the least common multiple of x and 20.
220
Suppose -2*g + 6 = 2. Suppose 4*u = 4*y, 3*y - 2 = 3*u - u. Calculate the smallest common multiple of g and y.
2
Let x = -16 - -27. What is the least common multiple of x and 1?
11
What is the least common multiple of 6/4 + (-87)/(-6) and 48/9*(-12)/(-8)?
16
Suppose 2*a + 0*a = -5*x - 7, -x = a - 1. Calculate the lowest common multiple of 8 and a.
8
Let l be 1/5 - 296505/25782. Let p = l + 2/4297. Calculate the common denominator of 216/66*(-3)/(-9) and p.
110
Calculate the smallest common multiple of 8 and (25 + -1)*(-52)/(-39).
32
Let y = -787/5 - -3503/20. Let f = -1487/288 + 135/32. Find the common denominator of f and y.
36
Let c(z) = z**2 - 4*z + 8. Let v be (-2 + -2)/2*-3. What is the smallest common multiple of 11/2*(-1 + 5) and c(v)?
220
Suppose 4 = -4*g, 0*r = 5*r - 2*g + 13139243. Let k = -1085300413/413 - r. Let h = -19/59 - k. Calculate the common denominator of 19/2 and h.
14
Let z(j) = -j**2 + 5*j - 4. Let t be z(3). Suppose 5*s - 27 = t*q - 3*q, 15 = 5*s + 5*q. Calculate the least common multiple of (4/s)/((-1)/(-15)) and 2.
10
Let f(j) = -3*j**2 - 11*j + 5. Let x(w) = 4*w**2 + 11*w - 6. Let v(b) = -5*f(b) - 4*x(b). Calculate the lowest common multiple of 2 and v(10).
18
Suppose 30 = 4*q + 2*q. Suppose -q*k + 4*a + 70 = 0, 3*k - 3*a - 2*a - 29 = 0. What is the smallest common multiple of 10 and k?
90
Calculate the smallest common multiple of (-6)/(-14) - (-1090)/70 and 6.
48
Let g(q) = 4*q**2 - 4. Find the common denominator of g(3) and 37/33.
33
Suppose 3*v - c = 11084, 2*v - 4838 = 2*c + 2558. Let z = v + -73953/20. What is the common denominator of z and -53/4?
20
Suppose 0 = -4*s + 42 + 2. Suppose 0 = j - 2*j - 2, 5*j = -4*r + 22. Calculate the least common multiple of s and r.
88
Let j = 43 + -21. What is the least common multiple of 16 and j?
176
Let l = 3 + -1. What is the smallest common multiple of 18 and l?
18
Let g(a) = -a**2 + 4*a + 1. Let k be g(6). Let l = -47 - k. Calculate the common denominator of (-251)/l - 9/36 and 133/12.
36
Suppose 4*i + 6 = 7*i. Suppose -4*s = -3*t + 35, 2*t = -i*t + 5*s + 46. What is the smallest common multiple of 5 and t?
45
Let k be (5 - 4)*-6*-7. What is the common denominator of 204/16*(-2)/k and 65/