and -121/10.
10
Suppose f = 1 + 2. Let v(y) be the second derivative of -y**4/12 + 7*y**3/6 - 2*y**2 + 4*y. Calculate the least common multiple of v(f) and 6.
24
Let i = 338933/72 + -37816/9. Let c = i - 517. Calculate the common denominator of c and 85/22.
88
Let c be (0 - -1)/((-12)/(-60)). Suppose 1 + c = 2*j. What is the lowest common multiple of j and 10?
30
Let h = -494 + 831. Let d = 3722/11 - h. Calculate the common denominator of d and -53/10.
110
Suppose 24 = 7*g - 4*g. Let r be (-6)/(-4) + g/16. Suppose -5*z + 4*z = -r. What is the smallest common multiple of z and 12?
12
Suppose 0 = a + 3*t - 19, -t - 1 - 6 = -3*a. Calculate the least common multiple of a and 12.
12
Let u(x) = 2*x - 2. Suppose 0 = 5*i - 8 - 7. Calculate the least common multiple of u(7) and i*((-19)/(-3) - 3).
60
Let r = -2631 + 42113/16. What is the common denominator of 23/20 and r?
80
Let r = -65 + 109. What is the smallest common multiple of 24 and r?
264
Suppose 0*r - 4*r = -40. Calculate the lowest common multiple of r and 8.
40
Let g = 4054 - 48701/12. Let v(b) = 13*b**3 - 3*b**2 - 4*b - 3. Let w be v(-3). Calculate the common denominator of g and 1 + (w/(-42) - 2).
84
Find the common denominator of (-2 + 154/80)*(-1975)/30 and -20/3.
48
Let n = 2 + -2. Let a(m) = -m**2 + m + 4. Calculate the lowest common multiple of a(n) and 2/(-3)*(-1 - 2).
4
Suppose 0 = -3*a - q + 4*q - 81, 175 = -5*a - 5*q. Let k = 26854/45 - 3016/5. Calculate the common denominator of a and k.
9
Let g = 245185924146451/54192 - 13573180051/3. Let n = g - -3/1129. What is the common denominator of 53/8 and n?
16
Let q be -1 - 4/6*-3. Calculate the smallest common multiple of (-4 - -6) + 2*q and 12.
12
Suppose r - 9 = -3. Calculate the least common multiple of 18 and r.
18
Suppose 4*i - j - 2710 = 0, -2*j - 3*j = 3*i - 2021. What is the common denominator of i/30 + (-9)/(-15) and -13/14?
42
Suppose -3*i + 16 = 6*c - c, 2 = -2*c. Suppose 3 + i = 5*r. Suppose -d = -4*d - 3*u + 75, 3*d + 5*u = 81. Calculate the smallest common multiple of r and d.
22
Calculate the common denominator of (-1)/(-2 - 69/(-29)) and 2/8 + 203/(-12).
33
Let j(s) = -s**3 + 6*s**2 - s + 8. Let q(l) = -l**3 + l**2 + l + 2. What is the least common multiple of j(6) and q(0)?
2
Let i = -750/37 + 13127/518. What is the common denominator of -47/12 and i?
84
Suppose 2*f + 0*f = -3*u + 21, 4*f + 5*u = 47. Suppose f = -5*g + 128. What is the least common multiple of g and 20?
220
Let j = -1380 - -30353/22. Find the common denominator of j and 51/16.
176
Let f(g) = -13*g**3 + g + 1. What is the common denominator of f(-1) and (4 - 1) + 695/(-50)?
10
Let w(k) = 3*k**3 - 8*k**2 + 3*k. Calculate the lowest common multiple of 6 and w(3).
18
Suppose t + 32 = 5*t. What is the least common multiple of 7 and t?
56
Suppose -h + 5*h = 0. Suppose 4*y + 0 - 4 = h. Calculate the lowest common multiple of 2 and y.
2
Suppose 0 = 6*b - b - 25. Suppose 2*t = b*m + 37, 3*m - 7 - 2 = -4*t. Let p = 20 - t. What is the lowest common multiple of 6 and p?
42
Let g be 6/(-21) + (-10)/14. Let k = g - -12. Suppose d - 5 - 3 = 0. What is the smallest common multiple of k and d?
88
Calculate the common denominator of 5/7 and ((-2)/(-7))/((-10)/(-85)) + 2.
7
Let t = -150 - -2007/14. Let j = -12209/532 - 40/133. What is the common denominator of j and t?
28
Let l(f) be the second derivative of f**5/20 - f**4 + 3*f**2 - 4*f. What is the lowest common multiple of 7 and l(12)?
42
Find the common denominator of 43/22 and (-956)/1120 - ((-1)/(-5) - 0).
616
Let d = -361 - -1010/3. Let u be 1/((0 - -2)/2). Calculate the common denominator of d and 7/(-6) + u/(-1).
6
Calculate the lowest common multiple of 2 + (9 - -5)*1 and 9.
144
Calculate the lowest common multiple of 4 and (-1)/(-3 + (-20)/(-7)).
28
Let f = -342521/48072 - -1/6009. Find the common denominator of 1/((-7)/6)*3 and f.
56
Find the common denominator of -65/6 and 1806/(-36) - (-4)/6.
6
Let c = 51576 + -20063096/389. Let z = c - -37147/2334. Find the common denominator of -57/4 and z.
12
Let g = 1178 - 10661/9. Suppose 0*f - 4*f - 24 = 0. Find the common denominator of (-175)/(-14) + f/(-2) and g.
18
Suppose 5*d = 10 + 40. What is the least common multiple of 2 and d?
10
Calculate the common denominator of (876/32)/(27/12) and -73/12.
12
Suppose -2*x + 126 = 7*x. Calculate the common denominator of x and 29/18.
18
Find the common denominator of (-129)/(-4)*(-1)/12 and -21/16.
16
Let j be (-12)/(-24)*120/2. Calculate the common denominator of (-489)/(-45) + (-6)/j and 93/8.
24
Let s be 2 + (-5310)/(6 + -3). Let n = s + 14105/8. Calculate the common denominator of n and 62/(-24)*(-32)/(-12).
72
Let v(t) = 63*t + 1. Let y be v(7). Let b be ((-564)/(-16))/(y/(-84)). Let u = -1/1105 + b. What is the common denominator of 89/6 and u?
30
Let d = -12041/7 + 1723. What is the common denominator of d and 149/6?
42
Suppose -2*y - 16 = -0*w - w, -4*w + 56 = -4*y. What is the smallest common multiple of w and 22?
132
Let k = -209/70 - -41/5. Find the common denominator of k and -67/20.
140
What is the common denominator of (-2224)/(-12)*(-2)/16 and 21/4?
12
Calculate the common denominator of 2/10 - 5551/(-520) and -121/18.
72
Let k = 2548165/54 + -47190. Let y = 11393/1028 + 1/1542. Find the common denominator of k and y.
108
Let q be -5 + 2 + 0 + 0. What is the least common multiple of -1*(q/1 + -8) and 9?
99
Let r = 9198001/1254 + -12351/209. Let o = -7255 + r. Find the common denominator of -79/2 and o.
6
What is the smallest common multiple of (-3 + -6 + 3)/((-6)/16) and 10?
80
Suppose 2*w = -3*w - 1250. Let z be 1 - (-1 - w/26). Let r = 397/117 + z. Find the common denominator of r and 107/10.
90
Let y = 1769461/1560 - 16994/15. Let b be ((-1)/3)/(13/216). Let u = b - y. What is the common denominator of -107/18 and u?
72
Let f = -697 + 2821/4. Calculate the common denominator of f and -79/8.
8
Let w = -217813/22 + 9896. What is the common denominator of w and 47/14?
154
Suppose -4*d + 82 - 10 = 0. Let l = 0 + -6. Let a = d + l. Calculate the least common multiple of 8 and a.
24
Suppose 2*k + 11 = -5*t, -k = -2*k - 3*t - 7. Suppose -12*b + 9*b + 54 = 0. What is the smallest common multiple of b and k?
18
Suppose 3 = j + 2*k, -j = -k + 2 - 11. Calculate the smallest common multiple of j and 11.
77
Let n = -9851/4319 + -3/617. Find the common denominator of n and 54/11.
77
Let r(b) = b**3 - 4*b**2 + 3*b - 2. Let y be r(3). Let n(k) = 3*k**2 - 2. Calculate the least common multiple of 20 and n(y).
20
What is the common denominator of 17/4 and (-13)/(-4)*-2*11/(-15)?
60
Let o be (272/(-12))/((-2)/(-6)). Calculate the common denominator of 33/7 and o/48*(-30)/(-4).
56
Suppose -v - 81 = -2*f, -f - 4*v + 14 + 40 = 0. Calculate the common denominator of (-9)/f*-12 - -2 and (136/20)/((-7)/(-5)).
7
Calculate the least common multiple of 13 and 13/4 + (-3)/(-4).
52
Suppose -4*m - 56 = -2*x, -5*x + 113 = -0*x - m. What is the least common multiple of 14 and x?
154
Let a be 18393/(-3069)*86/(-108). Let l = a + 1/2511. Calculate the common denominator of l and (158/(-8))/(10/4).
110
Let q = -8208 - -196957/24. Find the common denominator of q and -53/9.
72
Find the common denominator of 1 - (-66)/40 - 1 and -5 + 2 + 343/(-140).
20
Let y = -31513/2630 + -31/263. What is the common denominator of 38 + 3/2 + -1 and y?
10
Suppose 7*q = 5*q + 28. Suppose -5*a + 54 = q. What is the smallest common multiple of a and 22?
88
Let f = 2 + 0. What is the least common multiple of 8 and 4 + -3 + 1 + f?
8
Calculate the common denominator of -43/11 and 4/30 - 2882/240.
88
Let q = -2894 - -26086/9. What is the common denominator of q and 25/11?
99
What is the common denominator of (492/(-28))/((-80)/28) and -23/6?
60
Suppose 5*m - 5*l = -3*l - 540, -2*l = -m - 108. Calculate the common denominator of (-431)/80 + (-1)/(-5) and (-726)/m - (-1 + 3).
144
Let w = 741 + -5161/7. Find the common denominator of w and 2 - (-8)/(-60)*9.
35
Suppose -2*f - 1 = 67. Let i = 52 + f. What is the lowest common multiple of (22 - 0) + 0 + -2 and i?
180
Suppose 0 = 2*j + 2*j - 64. What is the lowest common multiple of 18 and j?
144
Suppose 4*m - 102 - 230 = 0. Let x = m - -459. Let q = x + -8675/16. Find the common denominator of q and -31/2.
16
Sup