 p = 63 + -92. Calculate the common denominator of -101/32 and p.
32
Let r(h) = -4*h - 7. Let z be r(-5). What is the lowest common multiple of 22 and -1 + (-3)/(-3)*z?
132
Let v be (-1)/52*(-838)/(-4). Let w = -11/13 + v. Calculate the common denominator of -53/6 and w.
24
Let t be ((-2)/(-145) - -1) + -1. Let f = t - 1023/580. Calculate the common denominator of f and 3/36*(-268)/6.
36
Suppose 4*m + 305 = 5*a - m, -4*m = 5*a - 332. Calculate the common denominator of 8/48 + a/(-42) and -51/20.
140
Let l = 16629/950 + -298/19. What is the common denominator of l and -8/25?
50
Let l = -3 - -5. Suppose 4*r = -5*u + l*r + 64, -54 = -4*u - 3*r. Let y(b) = -b + 7. Calculate the smallest common multiple of y(-7) and u.
84
Let n be 145 - -2*1/2. Suppose g + g = 6. Calculate the common denominator of -61/16 and 1 - g - n/(-16).
16
Let a be 51/6 - (-2)/4. Suppose 3*o - a - 3 = 0. Calculate the smallest common multiple of 1/o - 30/(-8) and 3.
12
Let f(d) = 2*d + 12. Let m be f(-9). What is the common denominator of 11/8 and m/(-9) + (-255)/(-18)?
24
Let a = -33260/7 + 4759. Let x = -18 + -6. Find the common denominator of a and x.
7
Let z be (-2)/(-5)*(-2 - -42). Let m = 36 - z. Calculate the smallest common multiple of m and 12.
60
Let u = 6 - -8. Calculate the least common multiple of 10 and u.
70
Let a be 2*-1 - (-10)/1. Let n = -1051/84 + 101/7. Find the common denominator of n and ((-18)/a)/((-63)/(-102)).
84
Let h be ((-52)/443)/(9/596). Let q = -2/443 + h. What is the common denominator of 51/2 and q?
18
Let n = 72017997/7487444 + -8/98519. Let z = 164/19 + n. Let i = 151/25 + 109/25. Calculate the common denominator of i and z.
20
Calculate the smallest common multiple of (-2)/9 - (-959)/63 and 3.
15
Suppose -5*z = -z - 8. Suppose 0 = i + z*i - 60. Calculate the least common multiple of i and 4.
20
Let h = -1271/330 + -28/33. Find the common denominator of -59/5 and h.
10
Let z(p) = p**3 + 4*p**2 - 2. Calculate the smallest common multiple of 10 and z(-2).
30
Let t = -4746/13 + 86741/234. What is the common denominator of 28/3 and t?
18
Let u(r) = -3*r**2 + 1. Let o be u(-1). Let n = 24 - 13. What is the lowest common multiple of o*3/(-6) + 1 and n?
22
What is the common denominator of 67/3 and (3/(-27))/(4/(-363))?
12
Let d = 2838767/139668 + -2287/452. Let f = 7/103 + d. Let r = -335 - -2320/7. Find the common denominator of r and f.
21
Find the common denominator of -2 + 458/48 + -3 and 91/2.
24
Calculate the least common multiple of (14/3 + -4)/((-3)/(-45)) and ((-2)/(-3))/((-1)/(-9)).
30
Let n(t) = -t**2 - 4*t + 8. Let z be n(-5). Let d(i) = 2*i - 5. Calculate the least common multiple of (-2)/z*9/(-2) and d(4).
3
Suppose i = -52 - 25. Let t be 120611/i + (-12)/(-42). Let z = t + 1565. What is the common denominator of -3/7 and z?
77
Let g be -2 - ((-405)/3 + 3). Suppose 0 = 5*s - 4*y - g, 2*s + 4*y + 4 = 28. What is the lowest common multiple of 14 and s?
154
Let d = -11 + 14. Suppose 2*c + 2*c + 3*w = 22, 2*w = -d*c + 16. Suppose k = -1 + 6. Calculate the smallest common multiple of k and c.
20
Let p(b) = b**3 - 5*b**2 - b + 6. Let u be p(5). Let s = -20 + 40. What is the smallest common multiple of s and 3/((-3)/(-8)*u)?
40
Let v = 248/115 + -22/23. Let q = -17 + 7. Find the common denominator of 91/q + 3 + 0 and v.
10
Let m(a) = 8*a**2 - 1. Calculate the smallest common multiple of 6 and m(-1).
42
Let l be ((-21)/6)/((-254)/96664). Let u = l + -1332. Let n = 3179/254 + u. Find the common denominator of n and 101/10.
10
Let v(t) = -t + 6. Let j be v(5). Calculate the common denominator of j*(156/9 - -1) and -23/7.
21
Let t be 4*(-3)/2 - 2. Let k = t - -13. Calculate the lowest common multiple of k and 1.
5
Suppose -k - 8 = 18. Calculate the lowest common multiple of 18 and k/39 + (-100)/(-6).
144
Suppose -5*q + 8 = -9*q. Let d(a) = -6*a + 6. Let u(w) = -1. Let l(x) = d(x) + 8*u(x). What is the smallest common multiple of l(q) and 18?
90
Let c be (12/(-9) + 0)*1/(-329). Let u = -1/887585 + -12943651397/584030930. Let z = c - u. What is the common denominator of z and 28?
6
Let f = -1353 - -2759/2. Find the common denominator of 0 + -1 + 98/(-12) and f.
6
Let s be (-4)/6 - 258419/(-84). Let b = s - 3060. Let h = -2/1569 - -54931/12552. Find the common denominator of h and b.
8
Calculate the smallest common multiple of 22 + -2*8/4 and 6.
18
Let i(q) = -q**2 - 14*q - 18. Let k be i(-13). Let p(o) = -o**2 - 8*o - 6. What is the lowest common multiple of p(k) and 5?
45
Let s = -1271 + 10189/8. Find the common denominator of s and 43/40.
40
Let p = 7 - -3. Calculate the smallest common multiple of p and 10.
10
Suppose -2*m = -m + 1. What is the lowest common multiple of 1/m + 0 + 12 and 11?
11
Suppose r - 4*r - 3*i = -24, 4*i - 28 = -3*r. Calculate the least common multiple of r and 6.
12
Suppose 2*g - 1 = j, -4*j - 12 = 3*g - 30. Let u be 4 - (-1 + 3)/(-2). Suppose -h + u = -0*h. Calculate the lowest common multiple of h and g.
10
Let a = -17 - -26. Let l(t) = t**2 + 3*t + 2. Let v be l(-4). Calculate the lowest common multiple of a and 5/v - (-1)/6.
9
Let x(g) = -g**3 - 3*g**2 - 14. What is the lowest common multiple of x(-4) and 32?
32
Let i = -44 + 64. What is the least common multiple of 10 and i?
20
Let c = 78201/110 - 6111/10. Let z = -197 - -297. Let l = c - z. Calculate the common denominator of l and -52/5.
55
Calculate the common denominator of 290/140 - (-1 + -2) and -81/14.
14
Let p = -747/4 + 200. Find the common denominator of p and 89/4.
4
Let n be (12/(-268))/(3/66). Let f = 4753/268 + n. Calculate the common denominator of f and -121/18.
36
Suppose 11*a = 9*a + 4. Calculate the least common multiple of 4 and a.
4
Let s = 206972/35 + -5915. Find the common denominator of -71/30 and s.
210
Calculate the common denominator of 1/(-3) - 511/(-63) and -47/2.
18
Let d = 4 - 0. What is the smallest common multiple of d and (1/(-3))/((-2)/12)?
4
Suppose 4*v - 3*v = 5*r - 11, -5*v + 11 = -3*r. Suppose v*n = -23 - 5. What is the least common multiple of 4 and 7/(n/(-12)) + -2?
20
Let d(w) = -4*w + 53. Let l(s) = -s + 13. Let x(n) = -2*d(n) + 9*l(n). What is the smallest common multiple of x(-9) and 3*5 + (-4)/4?
140
Let y = 56/17 + 635/153. Let i(k) = 2*k - 7. Let c be i(5). What is the common denominator of y and 13/c*6/(-4)?
18
Let z = -1/405 - -1637/324. Calculate the common denominator of z and 27/4.
20
Let s(a) be the third derivative of a**5/60 - a**4/6 - 5*a**3/6 - a**2. Calculate the least common multiple of s(6) and 3/3 - (-6 + 0).
7
Let u = -2639/4 + 656. What is the common denominator of 115/12 and u?
12
Let q(f) = -5*f**2 - f + 6. What is the common denominator of q(3) and -9/10?
10
Let a(q) = 11*q - 1. What is the lowest common multiple of a(1) and 1?
10
Let d = 9 + 2. What is the lowest common multiple of d and (10*-2)/(-2) + -2?
88
Let t = -34027811/7956 + -6925/2652. Let s = t + 4274. What is the common denominator of s and ((-30)/48)/((-2)/8)?
18
Let f = 1/470 + 8576/705. Let u = 1954 - 11795/6. What is the common denominator of u and f?
6
Suppose 11*n = 72 - 17. Calculate the smallest common multiple of n and 1.
5
Suppose 0 = 9*t - 4 - 176. Let s = -4 + 8. Suppose -s*x = -46 + 6. Calculate the lowest common multiple of t and x.
20
Let h(t) = -2*t + 3. Let j be h(-8). Suppose 3 = -2*a + j. What is the smallest common multiple of a and 8?
8
Suppose 3*f - 6 = 4*o, -19 = 2*f - o + 6*o. Let k be (-1)/f - 63468/(-56). Let q = k - 1141. Calculate the common denominator of q and -26/9.
63
Let l = 981/2 + -449. Calculate the common denominator of -77/6 and l.
6
Let a be ((-34)/(-100))/(2/(-935)). Let k = 160 + a. What is the common denominator of k and 119/6?
60
Let v = -5493 + 11012. Let w = v - 49732/9. Calculate the common denominator of 29/8 and w.
72
Calculate the common denominator of -139/12 and 31/(-14) - (4 + -2).
84
Let n(h) = -3*h + 3*h + 3*h - 5. Suppose -2*s - 7*v + 10 = -3*v, 3*s - 19 = -4*v. What is the lowest common multiple of n(s) and 22?
22
Let b(a) = a + 10. Let w = -30 + 38. Calculate the lowest common multiple of w and b(-6).
8
Suppose 3*z + 34 = -2*w, -3*w + 1 = -3*z + z. Let n = -12 - z. Let s = 6 + n. What is the smallest common multiple of s and 14?
14
Suppose 0 = u - 2*i + 1, 2*u + 3*i = 12. Let 