2.
198
Let r = -29092/5 - -1570283/270. What is the common denominator of r and 4/15?
270
Calculate the common denominator of -19/3 and (2/14)/((-4)/(-20)).
21
Let j(k) = k**3 - 3*k**2 + 2*k. What is the lowest common multiple of 79 and j(3)?
474
Suppose -3*t + 261 = 2052. Let f = -26729/3 + 8297. Let p = t - f. Find the common denominator of 48/5 and p.
15
Let y = 15384 + -246061/16. Let r = 64941/10 + -6500. What is the common denominator of y and r?
80
Let y = 32287/10 + -3223. Let a = y + -201/5. Calculate the common denominator of a and 51/2.
2
Let y = 170561/10770 - 6/1795. Find the common denominator of y and 31/5.
30
Let t = -8099/110 - -347/5. Calculate the common denominator of t and -121/20.
220
Let c = 4 + -2. What is the lowest common multiple of c and 5?
10
Let c be 2/5 + (-1732)/(-20). Let h = c + -169/2. What is the common denominator of 101/10 and h?
10
Let a = 1449712157 + -2589185977579/1786. Let p = a - 6/893. Find the common denominator of p and (3/7)/((-32)/700).
8
Suppose -4*n + 30 = 3*p - 2*n, 4*p - 4*n - 60 = 0. Suppose -o - 2*l - 4 = 0, -27 = -o - o + 3*l. Calculate the least common multiple of o and p.
12
Suppose 5*v - 59 = 1. Let m = v - 10. What is the smallest common multiple of m and 8?
8
Suppose 4*n - n - 44 = 4*u, -4*n + 72 = -2*u. Suppose 3*g - g = n. What is the least common multiple of g and 10?
10
Suppose 48 = 2*s - 0*s. Suppose -3*n = -n - s. Suppose 41 = 2*c + q, -c + q + 4 = -21. What is the lowest common multiple of c and n?
132
Suppose 581292896 = -2*q - 2*m, -q + 3*q - 5*m + 581292882 = 0. Let k = q - -1377664062793/4740. Let d = 1/2370 + k. Find the common denominator of -55/6 and d.
12
Let x = -99 - -33. Find the common denominator of (-9)/(-36)*x/(-5) and -79/10.
10
Let u(i) = -i - 7. Calculate the least common multiple of u(-9) and 6.
6
Let k(r) = -2*r + 1 + r + 0*r. Let g be k(-3). Suppose 0 = -4*a + g + 12. Calculate the least common multiple of a and 2.
4
Let i(n) = -n**3 + 19*n**2 + 11. Let j = -31 - -51. Let p = 29 - j. Calculate the smallest common multiple of p and i(19).
99
Let t = -6 - -8. Suppose -4*b + 2*v = 6, -5*b - v - 6 = -3*v. Suppose b = r - 0 - 8. Calculate the smallest common multiple of r and t.
8
Let a = 34 - 29. Let o(u) = u**3 - 7*u**2 + 6*u + 2. Let g be o(6). What is the least common multiple of (18/(-8))/(g/(-8)) and a?
45
Let v(x) = -3*x**3 - 3*x**2 - x + 2. Suppose 10*h - 5*h - 40 = 0. What is the lowest common multiple of h and v(-2)?
16
Let j = -6 + 11. Let b = 92 - 53. Suppose j*y = 51 + b. What is the lowest common multiple of y and 12?
36
Suppose -7 = -5*y - 27. What is the smallest common multiple of 6/(-3)*10/y and 1?
5
Let h = -43 - -63. What is the least common multiple of h and 16?
80
Suppose -5*m - 1 = -6. Calculate the smallest common multiple of 2 and m.
2
Let j(v) = v**2 + 8*v + 2. What is the lowest common multiple of j(-8) and 26?
26
Let h(c) = 10*c**2 - 2*c + 2. Calculate the smallest common multiple of h(1) and 10.
10
Let u = 1 - 0. Let a be ((-1 - 0)*0)/u. Suppose 4*m - 41 = 5*d, -2*m + a*d = -3*d - 21. Calculate the smallest common multiple of m and 3.
9
Let y = -108/209 + -23547/4180. Calculate the common denominator of (-1 - 0) + (-1)/(-8) and y.
40
Let u be (0 - -316) + (-2)/(-2). Let t = u + -214. Find the common denominator of -25/2 and ((-1)/4)/(3/t).
12
Suppose 8 = 2*s - 6. Suppose -s*x = -8*x + 5. What is the smallest common multiple of x and 7?
35
Let x = -460290351/154 - -2988911. Let d = x - 138/11. What is the common denominator of d and 3/28?
28
Suppose 0 = 2*m + 3*m + 5, 0 = 3*u - 4*m + 9983. Let c = u + 93271/28. Find the common denominator of c and -83/10.
140
Let b be 0/(2 + -2 + 2). Let w be -4 + 3 - (5 + b). Find the common denominator of -91/6 and w/(-24) + 74/4.
12
Let i = -10998587/10 - -1098948. Let p = -908 - i. Let v = -2053/38 - -238/19. Find the common denominator of v and p.
10
Suppose -3*b - 20 - 5 = 2*s, 5*s = 4*b + 64. Let j = 17 + b. What is the smallest common multiple of 1 and j?
6
Let y = -10 + 20. Suppose 3*h - 16 = 4*m, 7*h - 3*h + 5*m - 11 = 0. What is the smallest common multiple of h and y?
20
Suppose 45 = 4*k + 13. Let a = -5 + k. Calculate the lowest common multiple of (-48)/(-8) - (-2 - 2) and a.
30
What is the common denominator of 174/60*(-1)/(-1) and -119/12?
60
Suppose 27*z + 12 = 30*z. What is the smallest common multiple of 4 and z?
4
Suppose -4*v = 5*h - 70, -2*h + 96 = 3*v + 2*v. Calculate the smallest common multiple of 22 and v.
220
Let x = 15 - 7. What is the lowest common multiple of x and 13?
104
Suppose -4*t = -12 - 8. Suppose -x = -t*x + 40. Suppose -m + 23 = -6*n + 3*n, 4*m - 84 = 4*n. Calculate the smallest common multiple of x and m.
20
Let y = -6 - -6. Suppose y = -0*i + 2*i - 12. Calculate the least common multiple of 11 and i.
66
Let j(v) = v + 10. Let l(i) = i**3 - 7*i**2 + 12*i - 7. Calculate the smallest common multiple of j(-6) and l(5).
12
Let k = -3617/13 - -276. Find the common denominator of -11/9 and k.
117
Suppose 3 = 4*u - f - 17, -2*u = -2*f - 4. What is the lowest common multiple of u and 94?
282
Let p(o) be the second derivative of -o**4/12 - 11*o**3/6 - 7*o**2/2 - 4*o. Calculate the common denominator of p(-8) and (114/(-22))/((-3)/2).
11
Let d(b) = 2*b**2 + 4*b + 10. What is the lowest common multiple of d(-4) and 4?
52
Suppose 2*s = 6*s + 4*z - 28, -2*s + 39 = -3*z. Calculate the smallest common multiple of 32 and s.
96
Let o = 4343 + -34663/8. Find the common denominator of o and -4*1/4 + (-125)/6.
24
What is the common denominator of (-45)/13 + 1/(-8)*4 and 67/12?
156
Let p = -779/2 + 1936/5. Let v = -10264/9 + 1139. What is the common denominator of v and p?
90
Suppose 3*s - 1977 = 213. Let j = 3697/5 - s. Calculate the common denominator of j and 25/8.
40
Suppose 5*r - 36 = -3*y, 0*r - 4*y + 32 = 4*r. Suppose -b = -5*b + 24. Calculate the least common multiple of r and b.
6
Let t(r) = r + 14. Let p = -6 + -1. Calculate the least common multiple of t(p) and -3*(12/9)/(-1).
28
Let u be 16*1 + -2 + 2. Suppose 2*f - 10 = -4*g + 5*g, -4*g + u = 0. Calculate the lowest common multiple of 3 and f.
21
Let n(r) = r**3 + r**2 + r + 38. Let f be n(0). Let h be (28/(-8))/((-1)/f). Calculate the common denominator of 21/4 and h/18 - 2/4.
36
Let m = 110036/15407 + 2/2201. What is the common denominator of -7/11 and m?
77
Let s = 1/9 + -125/72. Calculate the common denominator of s and -89/40.
40
Let d be 144/60 + (-4)/10. Suppose -g = d*g - 54. What is the least common multiple of g and 12?
36
Let b(m) = m**3 - 5*m**2 - 15*m + 12. What is the lowest common multiple of 4 and b(7)?
20
Let y(u) = -u**3 + 6*u**2 + 9*u - 9. Let n be y(7). Suppose n*s + 8 = 38. What is the lowest common multiple of 18 and s?
18
Let a be (3 + 1269/(-6))/(-2). Let b = a - 327/4. Let z = -20222 + 404329/20. Find the common denominator of z and b.
20
Let g(j) = 2*j**2 - 11*j - 2. Let r be g(6). Suppose -5*f = r*x - 62, f = 4*f + 4*x - 42. Calculate the smallest common multiple of f and 2*-10*(-4)/5.
80
Suppose 2*a + 2*a - 40 = 0. Let c be (a/32)/(1/(-20)). Let z = -177/28 - c. What is the common denominator of -43/8 and z?
56
Let u(y) = y**3 + 4*y**2 - y + 4. Let g be u(-4). Let s = 98 + -96. Find the common denominator of -89/6 and (s/(-10))/(g/124).
30
Let n = 6 + -3. Calculate the common denominator of n/6*(0 - -24) and (-15)/8 + (-2)/2.
8
Suppose -v + 6*v = 50. What is the least common multiple of 340/50 - (-4)/(-5) and v?
30
Suppose 2*x - x = 4*r, -5*r = x. Let j be (x + (-3)/6)*-8. Suppose -52 = -4*a - 4*q, -2*a + j*q - 36 = -5*a. Calculate the lowest common multiple of a and 20.
80
Suppose 2*p + 14 = 22. Calculate the least common multiple of p and 10.
20
Let c be 2/(-4) + (-15)/(-6). Let k(p) = -p**3 + 4*p**2 + 5*p + 7. What is the common denominator of (c - 87/(-15)) + 1 and k(5)?
5
Suppose 5*q = 29 + 16. Let r = q + -1. Calculate the lowest common multiple of r and 6.
24
Suppose 0*w + 2*w - 3*k = 5, -3 = -k. Let o = -3/10 - -2/5. Calculate the common denominator of (-1002)/(-420) + (-2)/w and o.
10
Let m(x) = -10*x + 6. Let p(f) = 11*f - 6. Let z(t) = -5*m(t) - 4*p(t). Suppose 0*w = -3*w + 30. What is the least common multiple of w and z(4)?
90
Let g = 444 + -309. Let a = -64571/20 + 3231. Ca