 -f**2 - 4*f + 2. Let m be t(4). Calculate the common denominator of 385/m - (-2)/(-6) and -34/3.
6
Let l = -1411376797/1090 - -1294841. What is the common denominator of -103/20 and l?
2180
Let h(z) = -z**2 + 24*z - 111. What is the smallest common multiple of 67 and h(17)?
536
Suppose 65 = 6*w - 37. Calculate the smallest common multiple of 8 and w.
136
What is the common denominator of (-11445)/(-5460) + 2/13 and (-89)/4 + (2 - 1)?
4
Let c(g) = g**3 + g + 2. Calculate the least common multiple of c(0) and 7/(-1*(0 + -1)).
14
Let p = 39568 + -6330901/160. Calculate the common denominator of 17/20 and p.
160
Suppose -1206 + 1200 = -3*v. Calculate the least common multiple of v and 11.
22
Find the common denominator of 1/46 and 51/(-69)*(-4)/20.
230
Let q = 78 - 46. Suppose 0 = 5*m - q - 3. What is the common denominator of -25/8 and m?
8
Let s be 20/96*38524/(-2). Let h = 4017 + s. Calculate the common denominator of h and -131/18.
36
Let v = -2/49587 - 1900823/297522. What is the common denominator of (-2)/16*187/(-22) and v?
144
Let l(o) = -3 - o + 0*o + 2. Let v = 22 - 10. What is the lowest common multiple of v and l(-7)?
12
Suppose -s - 2 = -f, -3*f + 14 = -4*s + 5. Calculate the lowest common multiple of s - (3 + 1 - 17) and (-10)/(-8)*(-10 - -22).
30
Let q(a) be the first derivative of -a**2/2 - 2*a + 3. Suppose 121*y = 122*y - 4. What is the lowest common multiple of y and q(-5)?
12
Let c = 1499/26 + -173/3. What is the common denominator of c and 55/273?
546
Let r = 479759/32 - 14994. Let u be 12/(-24) + 216016/16870. Let o = -8/1687 + u. Find the common denominator of r and o.
160
Let c = -842 - -864. What is the lowest common multiple of (-4)/(-14) - 26/(-7) and c?
44
Let b(g) = g. Let c be b(6). Let t = -305 + 303. Calculate the smallest common multiple of c*((-16)/12)/t and 5.
20
Let p = -11 + 14. Suppose 4*v + 4*j + 8020 = 0, j + 2*j - 5997 = p*v. Let h = 6071/3 + v. What is the common denominator of h and 11/10?
30
Calculate the common denominator of ((-55)/16 - (9 + -11)) + 2 and -137/6.
48
Let k be -2 + (2 - 4) - (-22)/(-2). Find the common denominator of k/(-270)*(-114)/(-8) and (5/54)/((-2)/(-102)).
72
Let d(p) = -p**2 - 19*p + 10 - p**3 + 10 + 20*p. What is the lowest common multiple of d(0) and 4?
20
Let s = 605 + -280. What is the smallest common multiple of s and 4?
1300
Let v = 691 - 664. What is the least common multiple of 54 and v?
54
Suppose 2*r - 5 = -2*u - 1, 0 = -5*r - 4*u + 10. Suppose -5*d - 16 = -3*s, -3*d - 3 = 3. Calculate the smallest common multiple of r and s.
2
Let z = 24 - 20. Suppose u = -m + 12, 0 = m + z*m + 2*u - 54. Calculate the lowest common multiple of 12 and m.
60
Suppose 4*m = 4*p - 120, 0 = -p + 3*m - m + 33. Suppose -5*q + 2*g + 81 = -g, 3*g + p = 2*q. What is the least common multiple of q and 8?
72
Suppose -k - 20 = -6*k. Suppose 2*w + 18 = k*s, -w - 18 = 4*w - s. Calculate the common denominator of -29/11 and 71/w*36/(-96).
88
Calculate the least common multiple of 4 and (8/6)/((-30)/(-1035)).
92
Suppose 6*b = -27*b + 3366. What is the least common multiple of 20 and b?
1020
Let x = -3/871 - -25319/17420. Let p be (15/9)/((-1)/12). Find the common denominator of x and (4/p)/(8/(-106)).
20
Let n(o) be the third derivative of -o**2 - 1/24*o**4 - 5/6*o**3 + 0 + 0*o - 11/60*o**5 - 1/120*o**6. Calculate the smallest common multiple of 18 and n(-11).
18
Let p = -29 - -51. Let n(q) = 3*q**3 - q**2 + q - 4. Let k(h) = h**2 - 4*h + 2. Let z be k(4). What is the lowest common multiple of p and n(z)?
198
Suppose -2*g = -4*a + 6, 0*a - 13 = -4*a - 5*g. What is the common denominator of a*134/64 - -1 and (1/198*39)/((-3)/27)?
176
Let o be (40/(-2))/((-1)/(-3)). Let j be (8/10)/((-12)/o). Calculate the common denominator of -105/52 and (j - 1) + (-370)/36.
468
Let f(x) = x**3 - 5*x**2 - 4*x + 8. Let m be f(6). Let y = m + -12. Calculate the smallest common multiple of 18 and ((-6)/y)/((-5)/120).
18
Let i(j) = -j**3 - 42*j**2 + 41*j - 38. Calculate the lowest common multiple of i(-43) and 6.
48
Calculate the common denominator of (9/(-2))/(59 - 51) and 39/56.
112
Let k(t) = 7*t - 188. What is the lowest common multiple of 210 and k(34)?
1050
Calculate the common denominator of (-14)/(-2 - -674)*(0 + -134) and -115/36.
72
Suppose y + 580 = 5*y. Suppose -2*f = 4*x - 310, 0*x + 2*x - y = -3*f. What is the lowest common multiple of x and 10?
80
Calculate the common denominator of 121/54 and (0 + (-45)/(-105))*(-217)/(-44).
1188
Let b = -2621/2 - -1271. Calculate the common denominator of b and -10/43.
86
Calculate the common denominator of ((-34)/(-16))/(((-49)/35)/1) and -77/8.
56
Let u(r) = -r**2 - 14*r - 19. Let y be u(-14). Let x = y + 21. Let i = 15 - 11. What is the smallest common multiple of x and i?
4
Let s(o) = -o**3 + 10*o**2 + 9*o + 10. What is the lowest common multiple of 40 and s(10)?
200
What is the least common multiple of -4 - ((-6)/(-18))/(6/(-396)) and -2*(-1)/(-4)*-44?
198
Let g(j) = 2*j**3 + 12*j**2 + j - 7. Suppose 13 + 22 = -5*y + 2*t, 45 = -4*y + 5*t. Calculate the smallest common multiple of 2 and g(y).
38
Suppose 2*l - 12 = 8*l. Let m be l/(136/67 + -2). Calculate the common denominator of (m/(-6))/((-8)/(-6)) and 25/2.
8
Let z(g) = -g**2 - 10*g + 11. Let k be z(-11). Suppose -6*x = -k*x - 120. Calculate the smallest common multiple of x and 6.
60
Let t be (-2728)/36*227/(-4). Let c = t - 4306. Find the common denominator of 23/20 and c.
180
Let u = 2337 + -2217. Calculate the smallest common multiple of 28 and u.
840
Calculate the least common multiple of (24/18)/(3*(-2)/(-9)) and 70.
70
Let k(x) = -x**3 + 12*x**2 - 4*x + 11. Let p be k(12). Let t = 65 + p. Suppose n - 2*q = 16, -4*n = -3*q - 44 - 0. What is the least common multiple of n and t?
56
Let q = 39838 + -93420116/2345. Let h = q - 9659/938. Find the common denominator of h and 125/12.
60
Let n = -10399/8 - -1307. Let w = 17071/10 + -1703. What is the common denominator of w and n?
40
Suppose 3*b + 14*v = 18*v + 18, -2*v = b - 6. What is the smallest common multiple of b and 459?
918
Suppose 3*j - 6 = -0*j. Let u be 1076/j*(4 - 1). What is the common denominator of (-4)/(-18) + u/(-216) and 49/12?
12
Let i(j) = 44*j**2 - j - 5. Let b be i(-5). Let l be (-574)/b - 2/(-4). Let s = l - -1531/7150. What is the common denominator of s and 5/8?
104
Suppose 17*j + 13*j - 5220 = 0. Calculate the smallest common multiple of 3 and j.
174
Let k = 290 + -278. What is the lowest common multiple of k and 2?
12
Let h = 0 - -4. Let g = 2834 + -2818. Calculate the smallest common multiple of h and g.
16
Suppose -3*m = 4*y + 8 + 2, 4*y + 24 = 4*m. Suppose -4*w + 2*f + 11 = 1, -m*w - 3*f + 17 = 0. Calculate the least common multiple of w and 0 - -11 - (-1 + 2).
20
Suppose -2*h - 2*i - 9522 = 0, -8869 - 14930 = 5*h + 3*i. Let m = -47703/10 - h. Find the common denominator of -37/7 and m.
70
Let t(k) = -4*k + 7. Let i be t(2). Let w(n) = -3*n**3 + 1. What is the lowest common multiple of 40 and w(i)?
40
Suppose 0 = 13*m + 109 - 1864. Let l = m - 115. Calculate the lowest common multiple of 34 and l.
340
Let w = -149400 + 22409861/150. What is the common denominator of -137/12 and w?
300
Let x be (6/(-4))/(4068/16). Let c = x + 2562/113. Calculate the common denominator of -27 and c.
3
Let a = -1438 - -8735/6. What is the common denominator of a and 52/185?
1110
Let t = -3966174090990317/686427313394844 + -2/49871208471. Let g = 1/4588 + t. Calculate the common denominator of 89/8 and g.
72
Calculate the common denominator of ((-2)/(-296))/(2/(-356)) and 35/4.
148
What is the common denominator of 18 and 278/(-90) - 26/234?
5
Let y = -568/5 + 356/3. Let v = 1264741/36 + -35129. What is the common denominator of y and v?
180
Suppose -3*o - o = -20. Suppose o*h = 6*h - 2. Calculate the common denominator of -69/2 and h/(-24)*(1 - -285).
6
Let j = 5 + 95. Suppose -5*v + j = -0*v. What is the least common multiple of 2 - (28 + -4)/(-2) and v?
140
Suppose -25*z + 129 - 4 = 0. Calculate the smallest common multiple of 95 and z.
95
Suppose -5*x + 955 = -18*d + 22*d, 5*d + 3*x - 1197 = 0. Calculate the lowest common multiple of d and 24.
240
Let s = -58 - -63. What is the least common multiple of s and 185?
185
Let x = -86943/20210 - -4/2021. 