
Let q = -2 - -5. Let s = q + -4. Let n = s + 23. What is the lowest common multiple of n and 12?
132
Calculate the common denominator of 70/4*(-51)/(-45) and 27/11.
66
Suppose -3*g = -3*l - 6, -4*g - 4 = 2*l + 12. Let r = 2087 + -45845/22. What is the common denominator of r and l/(-14) - (-235)/(-112)?
176
Let d(h) be the first derivative of -h**4/4 - 14*h**3/3 - 13*h**2/2 + 16*h - 1. Calculate the least common multiple of d(-13) and 8.
16
Let s be 36 - (-3 + 2)*-1. Suppose 0 = -5*z - 3*q + 90, -3*z + 4*q = -4*z + s. Let b = -161 - -973/6. Find the common denominator of b and z.
6
Let d(r) = -r**3 + 7*r**2 - 4*r - 5. Let y be d(6). Let q be 16/y - (-6)/(-21). Find the common denominator of -7/6 and ((366/(-21))/2)/q.
42
Let f be 3/4 - (-6531)/(-196). Let p = f - -1711/42. Find the common denominator of (-38)/(-4)*(-2)/5 and p.
30
Let d = -4957/194 - -5/97. Find the common denominator of d and 476/48 + 4/(-6).
4
Let m = 2 + 0. Suppose m*o = -2*a - 3374, -7*a + 3*a + 5089 = -3*o. Let h = o + 13589/8. What is the common denominator of 17/16 and h?
16
Let a be 0 - -1 - (4 + -4). Suppose 3*l + 3*j - 39 = 0, -4*l + j = 2*j - 43. What is the common denominator of l and (a/2)/(4/(-46))?
4
Let p(o) = o**2 + 4*o + 6. Find the common denominator of 83/10 and p(-7).
10
Let h be 4/(-12)*-3 + 1. Let r = -5 - -21. Suppose -u - r = -h*u. What is the least common multiple of 14 and u?
112
Let z = 2435/2 - 1260. Let y = 1 + z. What is the common denominator of 1/2 + (-50)/24 and y?
12
Suppose -28*b + 1080 = -8*b. Calculate the smallest common multiple of 15 and b.
270
Let o = -28633/4680 + -4/585. Find the common denominator of 34/9 and o.
72
Find the common denominator of (-105)/80*22/3 and -7/9.
72
Let s = -48/71 + -4085/994. Suppose 0 = -h - 2*g - 575, -3*g = -3*h - 7*g - 1729. What is the common denominator of 2/(-10) - h/270 and s?
126
Let u(x) = -x - 2. Let s(j) = 3*j + 14. Let n be s(-6). Let a = 2 - n. What is the least common multiple of u(-4) and a?
6
Let n be 4*(15/(-4))/(-5). Suppose -3 = 3*v + n*d, 9 = 2*v - d - 4. Calculate the least common multiple of v and 4.
4
Let t = 3/11702 + 590921/117020. Let d(z) = -9*z**2 + 2*z - 1. Let u be d(1). What is the common denominator of t and 106/u + (-1 - -1)?
20
Let b = 10698971/40 + -267442. Let h = 107/5 - b. Calculate the common denominator of -28/3 and h.
24
Suppose 3*h - 15 = 0, 5*o - 81 = -5*h + 24. What is the smallest common multiple of 6 and o?
48
Suppose -2*v + 216 = 5*y, -4*v + 5*y - 4*y = -388. Suppose -2*q - 2*j - v = -7*q, -j = -3*q + 59. Calculate the least common multiple of q and 16.
80
Suppose 0 = 12*y - y - 66. What is the least common multiple of y and 18?
18
Let s = -13/77 - -1546/8701. Let m = -6671/452 + s. Find the common denominator of m and -41/10.
20
Let g(c) = c**3 - 5*c**2 + 2*c - 2. What is the least common multiple of g(5) and 18?
72
Let y = 442/109 + -20945/2289. Let s = -8/3 - y. Calculate the common denominator of -25/3 and s.
21
Suppose 28 = 7*u - 42. What is the smallest common multiple of u and 6?
30
Let b = 31717503 - 62102876395/1958. Let v = -1/649 - -7877/57761. Let z = b - v. Calculate the common denominator of -43/20 and z.
220
Suppose i - 6 = 3*i, 70 = 5*a - 5*i. Let m = -8 + a. Let z = 22 - 16. Calculate the lowest common multiple of z and m.
6
Let v(d) = d**2 - 8*d - 4. Calculate the lowest common multiple of 4 and v(10).
16
Let c be (-243)/5 - (-8)/(-20). What is the common denominator of (-4)/14 - (-543)/210 and (58/(-6))/(c/(-21))?
70
Suppose 3*t + t = -3*o + 14, -o + 12 = 5*t. Let k(s) = 13 - 13 - t*s. What is the least common multiple of 8 and k(-9)?
72
Let g = -3 - -5. Let d = 4 - 0. Calculate the least common multiple of d and g.
4
Let z = -38 - -39. Calculate the lowest common multiple of z and 39.
39
What is the common denominator of (3/(-54))/((-2)/(-28)) and 29/11?
99
Let z = 4 - 1. Let r = -1104 + 10971/10. Calculate the common denominator of 0/z - 375/(-18) and r.
30
Let d(j) = -6*j + 4. Let y be 6/(-2)*1/(-3). Suppose 0 = n + y + 2. Calculate the lowest common multiple of 20 and d(n).
220
Suppose 5*m - 17 + 2 = 0. What is the least common multiple of 2 and m?
6
Let o(y) = -y - 1. Let a = 7 - 11. What is the lowest common multiple of 1/(-2 + 0)*a and o(-5)?
4
Let i be 1*31 - (3 - 2). Let o = 37/28 + -237/28. What is the common denominator of 2/3 - (-277)/i and o?
70
Let l = 1/584 - 40005/584. Let y = l - -72. Calculate the common denominator of 85/4 and y.
4
Let p = 0 + 2. Suppose -p*y - 6 = 10. Calculate the common denominator of -5/8 and y.
8
Let m = -1605 - -6349/4. Calculate the common denominator of m and ((-2)/20)/((-24)/2310).
8
Suppose 28*f = 24*f + 20. What is the lowest common multiple of f and 52?
260
Suppose -1232 = -l - l. Find the common denominator of 43/2 and l/32 + 1 + -1.
4
Let i(x) = -x - 10. Let s be i(-10). Suppose -a = -5*w - 29 + 6, s = 4*a + 3*w - 23. Suppose 0 = -5*z - 6 + 16. What is the least common multiple of a and z?
8
Suppose 0 = -i - i + m + 40, 5*i - 106 = 4*m. Suppose 2*j + 5*l - 22 = -j, -4*j = l - i. Calculate the smallest common multiple of 22 and j.
44
Suppose 5*g - 1 + 6 = 0. What is the smallest common multiple of 5 and g*(-1 + 0) - -2?
15
Suppose 2*d - m - 25 = -d, 3*d + 3*m - 9 = 0. Calculate the lowest common multiple of 8 + -2 + (-20 - -30) and ((-1)/1 + d)*1.
48
Let n = 8 - 4. Suppose 0 = -w + 2*w - 2*a - 6, n*a + 8 = 0. What is the least common multiple of 6 and (3/w)/((-6)/(-40))?
30
Calculate the common denominator of -29/9 and (22/36)/(1/(3 - -4)).
18
Suppose 0 = v + 4*p + 132, 4*p = -v - 3*v - 468. Calculate the common denominator of -125/18 and ((-4)/v)/((-3)/642).
126
Let y(v) = v + 7. Let u be y(-7). Suppose 2*x + 2*x = u. Suppose -j + x*j = -22. Calculate the least common multiple of 18 and j.
198
Let f be 1 - 4 - (-4 + 3). What is the common denominator of f + (880/12)/(-5) and 45/2?
6
Let y = 1137/2 - 583. Find the common denominator of y and -79/8.
8
Let t = -6043 + 54322/9. Let f = 1709 + -3335/2. Calculate the common denominator of f and t.
18
Suppose 909 = 4*b + 105. Let f = 595/4 - 150. Calculate the common denominator of f and 1/4 + b/20.
20
Suppose v - 1 = -3. Let i be (-1 - -4) + v + 2. Let c = i - -17. What is the lowest common multiple of 4 and c?
20
Suppose -2*r + 2*w + 8 = 3*r, 3*r + 3*w + 12 = 0. Suppose -d - 45 = -r*d. Find the common denominator of -13/11 and d.
11
Suppose 4*a - 3*q - 48 = q, -38 = -4*a - q. What is the least common multiple of 4 and a?
20
Find the common denominator of -4 - (184/(-84))/1 and -59/33.
231
Let j = -9475/444 + 1/148. What is the common denominator of j and -29/7?
21
Calculate the least common multiple of 21/9*3/1 and 11.
77
Calculate the smallest common multiple of 20 and ((-32)/20)/(8/(-20)).
20
Suppose 4*a - 57 = 87. Calculate the lowest common multiple of a and 16.
144
Let f = 42 + -22. Suppose -5*s + 68 = 4*p, -3 = -p - 6. Calculate the smallest common multiple of f and s.
80
Suppose -4*n - 373 = -2*r + 605, n + 232 = -2*r. What is the common denominator of n/(-18)*(-9)/(-6) and (5 - 875/10)*2/36?
12
Suppose 21*x - 16*x - 10 = 0. What is the lowest common multiple of x and 6?
6
Let u = -10691/6 + 1794. Let j = -1429 - -31457/22. Find the common denominator of j and u.
66
Let z be (-1 + -1)*(-6)/4. Suppose 5 + 1 = z*u. Calculate the lowest common multiple of 6 and u.
6
Let j = -732 - -456. Calculate the common denominator of -75/8 and j/(-66) - (-3)/(-6).
88
Let w = 553157/54770 - -2/5477. Calculate the common denominator of w and 77/6.
30
Let a = -935965153/2485 + 2636499/7. Let o = a - -1/3195. What is the common denominator of 11 and o?
9
Let p(d) = 13*d - 32. Let y(c) = -2*c + 1. Let l be y(-1). Let u(j) = j**2 + j - 1. Calculate the least common multiple of p(3) and u(l).
77
Let v be ((-2415)/2)/((-3)/6). Let f = v + -9707/4. What is the common denominator of (-8 - -10)*((-7)/11 - 0) and f?
44
Calculate the common denominator of 12/(-4)*5/((-240)/(-53)) and -5/14.
112
Suppose -i + 6 = 2*i. What is the common denominator of ((-28)/(-33))/(2/(-6)) and 3 - ((-135)/(-20) + i)?
44
What is the common denominator of ((-42)/(-20))/((-96)/(-40)) and 95/2?
8
Let h = 10/1461 + 32599/4383. Let r be 39/(-3) + -1 + 0. Find the common denominator of h