st common multiple of f and m(d)?
56
Suppose -4*r - 48 = 24. Let o = r - -12. What is the common denominator of 4/o*(-219)/(-4) and 25/11?
22
Suppose -x = -3*x + 12. Let q(i) = -i**3 + 7*i**2 - 3*i - 2. Let j be 4/(-10) + 32/5. Calculate the lowest common multiple of x and q(j).
48
Let z be ((-2)/(-10))/(3/15). What is the common denominator of ((-64)/5 - -1) + z and -107/6?
30
Suppose -5*x + x = -20. Suppose -49 = -0*l - 3*l - t, -4*t = -4. Calculate the smallest common multiple of (210/(-9))/x*-3 and l.
112
Let u(f) = f**2 - 8*f - 7. Let z be u(9). Suppose -b - 388 = -z*d, 0*b = 5*b + 4*d + 1996. Calculate the common denominator of -25/4 and b/40 - 6/(-2).
20
Let a = 14287/3806 - 154/173. Let n(h) = -h + 14. Let s be n(0). Find the common denominator of 0 - ((-67)/s - 2) and a.
154
Let r = 30 - 0. What is the lowest common multiple of r and 10?
30
Let f = -1/458 + -9491/58166. Let v = -5375/1016 - f. Calculate the common denominator of v and (166/10)/((-6)/(-5)).
24
Suppose -u - 4*b - 20 = 0, 4*u + b + 5 = -0*b. Suppose -4*v + 2*r + 40 = u, 17 = 4*v - 5*r - 23. Calculate the smallest common multiple of v and 12.
60
Suppose 0 = 2*i - 3*t + 4, 0 = 2*i - 4*t + 9 - 3. What is the lowest common multiple of 3 and i?
3
Suppose 5*x = 2*x - 12. Suppose 3*i + 515 = -5*k, 6*k - 3*k - 3*i + 333 = 0. Calculate the common denominator of -105/22 and x/40*k/(-4).
220
Let y(t) = -2*t - 11. Calculate the least common multiple of y(-10) and 5.
45
Suppose -n - 42 = -6*z + 3*z, 0 = 4*n. Find the common denominator of (236/6)/((-8)/2) and (-4)/(-16)*128/z.
42
Suppose -s + 16 = -4*v, 2*v = s + v - 7. Suppose 0 = -a - 2*m + 4*m + 12, -2*a + 12 = -m. What is the least common multiple of a and s?
4
Calculate the common denominator of -77/2 and -5 + 33 + (-2)/4.
2
Let u = -14819/4674 + 3/779. Calculate the common denominator of -74/249 and u.
498
Let f(q) = -q**2 - 24*q + 20. What is the least common multiple of f(-24) and 12?
60
Find the common denominator of 141/48 - (-3 - -2) and 1/18.
144
Suppose 7*o - 14 = 14. What is the least common multiple of o and 8?
8
Suppose 8 = -4*r, 0 = 2*b - 3*b - 4*r - 8. Suppose -4*c + 86 - 22 = b. What is the least common multiple of c and 20?
80
Suppose -6*r + 11 = -19. Suppose -2*x - 3 = -5*b - 14, 5*b - r = 0. What is the lowest common multiple of 8 and x?
8
Let b(h) = -h**3 - 3*h**2 + h + 4. Let t be b(-3). Let w = -56 - -54. What is the smallest common multiple of w/7*-7*t and 9?
18
Suppose -5*d + 0 = -3*k + 11, 27 = k + 3*d. What is the least common multiple of 3 and k?
12
Let v = -35629/14748 + -1/1229. Find the common denominator of v and -35/12.
12
Let i = 8 - -20. Find the common denominator of i and (-4)/(-2)*(-62)/6.
3
Let c = -16689/28 - -600. Find the common denominator of -79/4 and c.
28
Let k be -3 + 0 + 5 - 0. What is the common denominator of k*(-33)/108*2 and -17?
9
Let y(b) = -b**2 + 9*b - 7. Calculate the lowest common multiple of y(8) and 8.
8
Suppose 3*p + 7 = 2*d - 5, 32 = 2*d + 2*p. Calculate the least common multiple of d and 12.
12
Suppose 0*j - 4*j = -16. Suppose 18 = 2*t - j*q, -3*t - 3 = -5*t - q. Calculate the least common multiple of (-1)/2 - 115/(-10) and t.
33
What is the common denominator of (6 - (-22)/(-11)) + 1898/(-444) and -21/10?
1110
Let d = -9 + 36. Suppose -2 - 4 = 3*k. What is the common denominator of -101/4 and (-4)/((-32)/d) - k?
8
Let g be 1/3 - (-4008710)/480. Let d = -8348 + g. Find the common denominator of d and 111/14.
112
Let c = -50 - -70. Suppose -4*f + 3*h + 72 = 0, h - 16 = -f + 2. Calculate the lowest common multiple of c and f.
180
Suppose 3*x + 3*d + 11 = 8*d, -3*x - d - 5 = 0. Let s = x - -7. Let g = 11 - s. Calculate the lowest common multiple of 9 and g.
18
Suppose -3*x = 4*x - 105. Calculate the least common multiple of 6 and x.
30
Let l(j) = 5*j + 2. Let z be l(5). Suppose -a - a = 6, -a - z = -2*d. Suppose 4*x + d = 36. What is the smallest common multiple of 12 and x?
12
Let p = -30/47 + 2329/188. Find the common denominator of p and 101/46.
92
Suppose -4*b + 4*r - 37 + 13 = 0, 4*b + r = -24. What is the common denominator of -99*(-3 - 15/b) and -69/20?
20
Let z = -13813/786 + -34/131. Calculate the common denominator of -7/18 and z.
18
Suppose 17 - 15 = 2*l. Suppose 4*i + 2*d - 4*d - 38 = 0, 4*i = -3*d + 43. Calculate the least common multiple of l and i.
10
Calculate the common denominator of -2*1803/360 + (-6)/15 and 58/9.
36
Let u(g) = 2*g**2 - 3*g + 21. Calculate the smallest common multiple of u(0) and 9.
63
Let z = -1422 - -5743/4. Calculate the common denominator of -53/6 and z.
12
Suppose -4 = 2*g + 2*p, 0 = 4*g - 5*p + p - 24. What is the common denominator of -36/5 and (-221)/66 - g/(-12)?
55
What is the common denominator of -1 + 1 + (-453)/18 and (1/(-3))/((-8)/150)?
12
Let i = 31981 - 19269. Suppose -2*o + i = 2*o. Let f = o + -12635/4. Calculate the common denominator of -91/4 and f.
4
Suppose -3*l + 9 = -12. Let h = 13 - l. Let i = 13 - 9. Calculate the lowest common multiple of i and h.
12
Calculate the common denominator of ((-12)/10)/((-44)/140) and -57/16.
176
Let g = 2 + -3. Let s be g + 1 - (-2925)/99. Let d = s + -29. What is the common denominator of -28/9 and d?
99
Suppose -3*f + 19 = -3*i - 38, 4*f = -i + 96. Let g = 33 - f. What is the smallest common multiple of -1 - 4/(-3 + 2) and g?
30
Let u = 10331/844 + 2/211. What is the common denominator of -109/12 and u?
12
Let c = 16 - 13. Calculate the smallest common multiple of c and 39.
39
What is the common denominator of (6/(-4))/(4*(-12)/30) and 1*-1 + 207/(-24)?
16
Suppose 4*i - i - 12 = 0. Suppose r - s - i - 19 = 0, -2*s + 86 = 4*r. What is the smallest common multiple of r and (54/4)/((-3)/(-4))?
198
Let d(j) be the second derivative of j**3/6 + 6*j. Let m = -4 + 18. Calculate the least common multiple of m and d(4).
28
Suppose 2*l + 1 = 7. What is the smallest common multiple of l and 11?
33
Suppose -8 - 232 = -15*k. Calculate the least common multiple of 6 and k.
48
Let x(k) be the second derivative of k**5/20 + k**3/6 + 4*k**2 - 3*k. Calculate the smallest common multiple of x(0) and 8.
8
Let u = -2/29 - 427/116. Let v be (1 - 0)/(1/(-2159)). Let c = 21621/10 + v. Find the common denominator of c and u.
20
Let u = 2791/870 + -89/30. Calculate the common denominator of u and -37/2.
58
Suppose -4*b + 3 = -37. Calculate the smallest common multiple of 8 and b.
40
Suppose -4*m = 2*y + y - 68, -5*y + 4*m + 60 = 0. What is the least common multiple of y and 4?
16
Let f = -6/1393 - 112737/22288. Calculate the common denominator of -79/58 and f.
464
Let k(y) = -y - 11. Let v be k(-8). Let r = 9 + v. Calculate the smallest common multiple of r and 1.
6
Let y = 2 + -1. Let n be (5*-1)/(y/409). Let p = -6062/3 - n. Find the common denominator of -127/6 and p.
6
Let m = -15 + 18. Suppose 3*w - 33 = 5*v - 103, -2*w = -m*v + 43. Suppose 2*f = y - 10, 30 = 3*y - 3*f + 4*f. Calculate the smallest common multiple of v and y.
110
Let x be 4/(-2)*(-14)/(-4). Find the common denominator of -39/11 and -3 - (-3)/x - -1.
77
Let h be 1/((-2790)/8374) - -3. Let d = h - 11617/5580. Calculate the common denominator of 2/3 - (-83)/60 and d.
60
Suppose 2*o = o + 13. Suppose -8*g + 36 = -4*g. Calculate the least common multiple of o and g.
117
Suppose -5*n + 7 = -3. What is the least common multiple of n and 7/(-21)*(-9 - 0) + 7?
10
Let z = 49 + -215. What is the common denominator of -75/4 and z/(-42)*(-12)/(-8)?
28
Suppose 5*h - 2 - 18 = 0. Suppose h = g - 3. What is the lowest common multiple of g and 2?
14
Let h(n) = n**2 - n + 4. Let k = 10 + -7. Let t = 21 - 11. Calculate the smallest common multiple of t and h(k).
10
Let a = -2317/9 + 255. Let z be 2 - -187*(1 - 0). Find the common denominator of a and 2 + -1 + z/(-24).
72
Let w = -3712/144825 + -2/1931. Let v = w + 79/150. Let n = -52901/20 - -2644. Calculate the common denominator of n and v.
20
Let y(j) = -j + 22. Let b(f) = 2*f**2 - 2*f - 2. Let r be b(-3). Calculate the least common multiple of r + 0/(2*-1) and y(10).
132
Let z = -7 + 17. Calculate the lowest common multiple of z and 6.
30
What is the smallest common multiple of -2*(3 + 78/(-4)) and 36?
396
Suppose -5*f + 0*f + 5*u + 25 = 0, 0 = -2*u - 4. Let t(j) = j**2 - j - 2. What is the lea