. Let v = -2 - d. Calculate the lowest common multiple of ((-10)/3)/(3/(-9)) and v.
10
Suppose -2*m = 3*m + 21045. Let r = m - -50425/12. What is the common denominator of 2 - (-1 - (-339)/(-18)) and r?
12
Suppose 0 = 2*q - 2*t + t - 3, -5*t = q - 18. What is the least common multiple of 36 and q?
36
What is the common denominator of 1*2 + (-553)/(-84) + -7 and -89/12?
12
Let s = -1/4 + 5/6. Calculate the common denominator of 113/6 and s.
12
Let r = -1890 - -30173/16. Let z = 810/7 + -6333/56. What is the common denominator of r and z?
16
Suppose 4*h = y - 0*y + 14, 1 = -4*y + 5*h. Suppose 4*l - 29 - 8 = -3*a, -l + 11 = -a. Calculate the least common multiple of l and y.
30
Let c(t) = t**3 + t**2 - 4. Let y(z) = z**2 - 7*z - 8. Let l be y(8). Let w be c(l). What is the smallest common multiple of (-6)/w - (-1)/2 and 1?
2
Calculate the common denominator of 164/14*(-54)/(-360) and -121/18.
630
What is the common denominator of 4/2*(1095/200 - 4) and 53/50?
100
Let v(t) = -31*t**2. Let s be v(-1). Let h = s + 15. Let f = -5 - h. Calculate the lowest common multiple of f and 9.
99
Let z be (2/(-32))/((-1)/138319). Let b = z + -8648. Let m = 177/139 + -23897/2502. Find the common denominator of m and b.
144
Let c = 23104 + -508203/22. Find the common denominator of (7/(-6))/((-8)/6) and c.
88
Let s(g) = -3*g + 3. Let p be s(7). What is the smallest common multiple of (-3)/((4 + -1)/p) and (-5)/(-1) - 3 - -16?
18
Let g = 349/36 + 50/9. Calculate the common denominator of g and -71/3.
12
Let j(w) = -w**3 - 4*w**2 + 5*w + 5. Let q be j(-5). Suppose -r - q = 4*r. What is the common denominator of -17/22 and ((-25)/(-22))/r - -2?
22
Suppose -213 = -10*a - 53. What is the smallest common multiple of 36 and a?
144
Calculate the lowest common multiple of ((-30)/(-4))/((-1)/(-2)) - -1 and 32.
32
Let s(v) = 2*v**2 - v + 2. Let x(h) = h**3 - h**2 + h. Let i(t) = -s(t) + x(t). What is the smallest common multiple of i(3) and -2*(-1)/1*3?
12
Find the common denominator of 113/10 and -4 - (1 - (-24)/(-9)).
30
Suppose 0 = -w - 4*w - 4*p + 7, -4*p + 12 = 0. Calculate the smallest common multiple of w/(-1*(-1)/(-8)) and 3.
24
Let o be (113/4)/((-2)/(-8)). Suppose 0 = 5*s + q + o, q - 35 = 2*s - 2*q. Let c = s - -36. What is the lowest common multiple of c and 8?
56
Let j(k) = k**2 + 6*k + 8. Calculate the lowest common multiple of 70 and j(-6).
280
Let y(d) = d**3 + 3*d**2 - 6*d - 2. Let v be y(-5). Let z = -13 - v. Calculate the lowest common multiple of z and 6.
18
Let s = -29 + 9. Let h = -19 - s. Calculate the lowest common multiple of h and 7.
7
Let y = 12647/8 - 1583. Let m = -35780808691991/5766 + 6205481894. Let i = -18/961 + m. Find the common denominator of i and y.
24
Let t(o) be the third derivative of o**5/60 - o**4/24 + 4*o**3/3 + o**2. Let r be t(7). Calculate the smallest common multiple of (-1)/4 + r/8 and 16.
48
Suppose -63 = 2*h - 237. Suppose 60 = -4*c - 156. Let p = c + h. Calculate the common denominator of p and -37.
1
Suppose 3*b - 4*g + 4 = 3, -2*g - 2 = -2*b. What is the lowest common multiple of b and -3 - (-3 + 1) - -5?
20
Let i = -33207/20 + 1660. Let f(b) = -2*b**2 + 3*b - 2. Let s be f(2). Calculate the common denominator of i and (-45)/(-8) - (5 + s).
40
What is the lowest common multiple of 46/10 + 54/(-90) and 14?
28
Let c = 3609 + -14349/4. Find the common denominator of 35/16 and c.
16
Suppose -26*y = -22*y - 84. What is the smallest common multiple of y and 21?
21
Let h = 1502 + -5969/4. Let d = 1443/4 - 339. Find the common denominator of h and d.
4
Suppose -20*x + 21 = -19*x. Find the common denominator of (-1)/(-20)*(111 - -2) and 6/x + (-2285)/770.
220
Let c be ((-4)/48)/(11967/2321526). Let i = 2/3989 - c. Find the common denominator of (1/(-2))/((-2)/(-17)) and i.
12
Let n(k) = -k**2 + 13*k + 2. What is the lowest common multiple of 14 and n(9)?
266
Suppose -3*h = 3*z - 15, -2*h - 2*h - 5*z + 19 = 0. What is the smallest common multiple of h and 4?
12
Let b(y) = -7*y + 2. Let f be b(-3). Suppose 2*h = -3*a + f, -4*h + 26 = -h - 4*a. What is the least common multiple of h and 14?
70
What is the common denominator of -21/2 and (-3)/6*2 - (-63)/351?
78
Suppose 8 = 3*d + 4*h + 1, 0 = 2*d + 5*h. What is the common denominator of 1 + ((-64)/(-9) - 0) and ((-21)/(-6))/(d/(-3))?
90
Let y(v) = v**3 + 8*v**2 + 7*v + 6. Let c(o) = o**2 + o + 3. Let s be c(0). Let n = -4 - s. Calculate the least common multiple of 2 and y(n).
6
Let j = -4 + 7. What is the lowest common multiple of 8/((-1)/3*-3) and 3/2*(j + 1)?
24
Suppose m + 3*m - z = 8, 0 = -2*m - 5*z - 18. Let p = 3 - m. Suppose 0 = 2*x - 0*x - 16. Calculate the lowest common multiple of x and p.
8
Let i = -1247/710 - -4/71. Find the common denominator of i and 65/9.
90
Suppose -3*n - 5*d + 73 = 0, -3*n - 3*d = -0*n - 63. What is the least common multiple of 12 and n?
48
Suppose -47 = -2*r + 3*v, -64 + 3 = -3*r - 5*v. Calculate the least common multiple of r and 8.
88
Let i = -122317017/3299 - -37077. Let o = -372751/19794 - i. Let j = -63817/6 - -10611. What is the common denominator of j and o?
6
Let l(i) = 29*i - 8. Let z be l(6). What is the common denominator of 103/6 and ((-2)/40)/(1/z)?
30
Calculate the smallest common multiple of 7 - ((-4 - -6) + 2) and 3.
3
Let f = 126 + -102. What is the lowest common multiple of 33 and f?
264
Calculate the common denominator of (-39)/12 - 1 - 0 and 101/10.
20
Let v = -5 - -2. What is the common denominator of ((-2)/8)/((-36)/(-904)) and v/4*(-85)/(-9)?
36
Suppose -2*l = 3*l - 40. Suppose -4 = -2*k + l. Suppose -3*x - j = -k*j - 35, 5*j = -3*x + 25. Calculate the least common multiple of x and 20.
20
Let y = 33 - 23. Let w = 24 - y. What is the smallest common multiple of 6 and w?
42
Suppose -r = 5*r - 12. Calculate the least common multiple of 0 - (-1)/((-3)/(-18)) and r.
6
Suppose -2 + 10 = 2*z + 4*j, -3*j = 3*z - 9. What is the smallest common multiple of z and 10?
10
Suppose -2*y - 19 + 7 = 0. Let g be y/(-21) + 7010/(-84). Let k = -70 - g. Find the common denominator of -83/20 and k.
60
Let k be 15/(-6) - (-1)/2. Find the common denominator of (37 - k)*3/(-12) and -46/3.
12
Let b = -2747 - 219. Let a = 4775077/10 - 480464. Let x = b - a. Find the common denominator of -30 and x.
10
Let v = 257 + -247. Suppose m = -0 + 9. What is the smallest common multiple of v and m?
90
Let b be (3 + 0/2)/1. Let r(j) = 2*j - 2. Let o be r(7). Suppose -2*s - o = -b*s. Calculate the least common multiple of 18 and s.
36
Suppose 3*s + 5*d + 19 = 0, -2*s + 2*d = 4*d + 6. What is the smallest common multiple of s and 22?
22
Let h(o) = o**2 - 12*o - 12. Let s be h(12). Let k = s - -20. What is the smallest common multiple of 18 and k?
72
Let i(c) be the third derivative of -7/24*c**4 - c**2 + 0*c + 0*c**3 + 0. Calculate the least common multiple of 7 and i(-1).
7
Let x be ((-6)/(-1640))/(2/(-2025)). Let b = x - 7/41. Find the common denominator of b and (2/(-4))/((-9)/94).
72
Let w = -22 + 34. Suppose l - 4*k + w = -8, 2*l + 92 = -5*k. What is the common denominator of (10/l)/(4/(-30)) and 83/20?
60
Let a(x) = x**3 - 4*x**2 + 6*x - 4. Let q be a(4). Find the common denominator of -87/26 and -2 + 22/q*-7.
130
Let t(m) = m - 4. Let s be t(6). Let d = s - 2. Suppose d = -5*i - 7 + 117. Calculate the least common multiple of i and 8.
88
Let s(g) = g**2 + g. Let d be s(2). What is the common denominator of (d/(-9))/(80/(-84)) and -3/7?
70
Suppose h = 4*r - 9, 3*r + 2 = 4*h - 1. Suppose -2*u + i - 6 = 5*i, 0 = -5*u - i + r. Calculate the smallest common multiple of u and 6.
6
Let h(m) = 2*m + 10. Calculate the lowest common multiple of h(4) and (4/(-10))/((-1)/45).
18
Let f = 25 + -23. What is the smallest common multiple of 6 and f?
6
Suppose j - 5 = 4. Calculate the lowest common multiple of (j/(-6))/((-12)/56) and 4.
28
Let a(z) be the second derivative of -z**5/20 + 2*z**4/3 + z**3/3 + 5*z**2/2 - 2*z. Let m be a(8). What is the common denominator of ((-6)/m)/(2/(-5)) and 79/4?
28
Let j = 7 - 1. Suppose 4 = 3*d - 26. What is the smallest common multiple of j and d?
30
Let z = -28 + 36. What is the lowest common multiple of z and 2?
8
Let t = -3 + 7. Suppose 5*b - b + t*c - 16 = 0, -5*c = -4*b + 7. Calculate the least common multiple of b and (-3)/2*2