i = 12967/1068 - -9/356. Find the common denominator of -85/78 and i.
78
Suppose 184 = -4*l + 4*b, l + 3*b + 2*b + 46 = 0. Let c = -73 - l. Let j = 5695 + -56897/10. Find the common denominator of j and c.
10
Let d = -161 + 179. What is the smallest common multiple of 220 and d?
1980
Suppose -4 = l - 0, 0 = -t - 3*l + 1. Let j be (-607)/(-11) + (1 - 78/66). Suppose -t = g - j. Find the common denominator of g and -47/11.
11
What is the common denominator of -4 - (2/(-5) + 7305/450) and 109/102?
102
Let v(p) = 48*p - 128. Calculate the least common multiple of v(3) and 12.
48
Calculate the common denominator of (3/36)/((-6)/(-13)) and 12/7.
504
Let s = -48 - -54. Calculate the common denominator of 73/4 and (-747)/30*(-5)/s.
4
Let t(b) = b**3 - 3*b**2 - 4*b. Let j be t(4). Let o be j - (619 + -3)/(-4). Calculate the common denominator of 1/8 and (-38)/133 + (-383)/o.
88
Suppose 5*r - 3*a = r + 132, 2*r + 3*a = 66. Let q = r - 17. What is the lowest common multiple of q and (-2)/(-12)*3 + (-14)/(-4)?
16
Suppose 0 = -7*g - 1 + 8. Find the common denominator of 444/(-88) + g + 3 and -7/10.
110
Let o be 2/(-2 + 8/5). Let q be ((-10)/4)/(2/(-8)). Let h = q + o. What is the least common multiple of 4 and h?
20
Suppose -756 = -4*q - 24*q. Let a = 19 + -10. Calculate the smallest common multiple of q and a.
27
Let a = -21 - -27. Suppose 0 = 4*w + 5*b + 4 - 3, b = -w. Calculate the least common multiple of w and a.
6
Let z = -49909/14 + 3558. What is the common denominator of z and ((-18)/40)/((-12)/8)?
70
Let j(v) be the second derivative of 9*v**5/10 - v**4/12 + v**2/2 + 3*v. What is the common denominator of j(1) and (6 - 555/35) + 3?
7
Let p = 0 + 49. What is the smallest common multiple of 52 and 1/5 + p/5?
260
Let z = 2 + 2. Let a(u) = -3*u + 18. Let o be a(5). Suppose v + 2*n + o*n - 6 = 0, -2*v - 2*n + z = 0. Calculate the lowest common multiple of 7 and v.
7
Suppose -99 = 5*a - 9. Suppose -v - v = -3*s - 59, -2*s - 76 = -3*v. Let k = v + a. Calculate the smallest common multiple of k and 11.
44
What is the common denominator of 9/1 + 912/(-320) and -73/10?
20
Let s = -74 + 42. Calculate the common denominator of (-3 - -7)/(-4) + -24 and (438/(-16))/(24/s).
2
Suppose 4*x = -4, 3*w = 2*x - 0*x + 35. Let k(z) = z**2 - 5*z - 4. Let y be k(7). Suppose -3*u + w + y = 0. Calculate the least common multiple of u and 11.
77
Let h(a) = -a**2 + 17*a + 16. Let i be h(21). Let n = -64 - i. Calculate the lowest common multiple of n and (-1)/(-4) + 126/8.
16
Let c be (9/(-3))/(-3)*2. Suppose -n = 4*f - 11 - 16, f - 5 = -c*n. Let a = 1213 + -1188. Calculate the smallest common multiple of a and f.
175
Let o(h) = 16*h**2 - h + 1. Let m be ((-1)/2)/(8/(-16)). Suppose m = z + 2. Calculate the lowest common multiple of o(z) and 10.
90
Let l = 341462799744989/1096222 + -6834/548111. Let a = l + -1973292620647/6335. Let h = 4/905 - a. Find the common denominator of 133/6 and h.
42
Let g(o) = -o - 20. What is the least common multiple of 27 and g(-34)?
378
Find the common denominator of -121/100 and (-1 + 11/9)*360/(-150).
300
Suppose -2*x - 4*p + 5*p = -17, -5*x + p = -44. Suppose -x*u + 15 = -75. What is the lowest common multiple of u and 14?
70
Let o = 106013/33 - 3213. What is the common denominator of 10/13 and o?
429
Let h(y) = 4*y - 14. Let c be h(4). Suppose -3*w + 237 = 3*r, 23*r - c*w + 241 = 26*r. What is the least common multiple of r and 9?
747
Suppose -5*w - 64 = 2*a, 2*w + 22 + 6 = -2*a. Let c be ((-30)/(-4))/(w/(-40)). Calculate the lowest common multiple of ((-8)/(-10) + 0)*c and 8.
40
Calculate the lowest common multiple of (-30)/24 - 148/(-16) and 24.
24
Let s = 45 + 0. Suppose -72 = 4*b - b - 3*h, s = -2*b + 5*h. Calculate the lowest common multiple of b/(-10)*24/10 and 10.
30
Let y = 3472/117 + -302/13. Let z = 867249/49 - 17698. Calculate the common denominator of y and z.
441
Let o(j) = -2*j - 11. Suppose y + 4 = -5. What is the least common multiple of 4 and o(y)?
28
Suppose -117 = -3*t + 5*a + 42, -2*t + 4*a + 108 = 0. Calculate the least common multiple of 8 and t.
48
Find the common denominator of (-9)/(-2386 - 8)*2*1 and -52/133.
133
Calculate the least common multiple of (225/(-10))/(15/(-12)) and 10.
90
Let o = 58614 - 19166843/327. What is the common denominator of o and -25/24?
2616
Let l be 14 + (-4)/(-3 - 1). Suppose l = b + 2*b. Suppose -b*o - 2*y + 98 = -0*y, y - 76 = -4*o. What is the smallest common multiple of o and 2?
18
Let p(s) = s**2 - 22*s - 40. Let d be p(24). What is the smallest common multiple of (-6)/d - 301/(-28) and 6?
30
Let d be 65/20 - (-1)/(-4). What is the common denominator of -139/6 and (-128)/(-24)*d/60?
30
Let m(k) be the first derivative of k**3/3 - k**2 - 5*k + 2. What is the least common multiple of 432/8*(-2)/(-6) and m(5)?
90
Suppose -a + 2*a = -2. Let y be (-2696757)/252 + a + 1. Let d = 10696 + y. Find the common denominator of 107/24 and d.
24
Let i = -6908 + 331477/48. What is the common denominator of i and 119/12?
48
Let j be (-3)/(-2)*2/(-9)*-6. Suppose -3 = 4*h + 2*u - 19, 2*h - 20 = j*u. Calculate the smallest common multiple of h and 20.
60
Let p = 0 - 1. Let z = 2 - p. What is the common denominator of 156/18*z/(-20) and 38/9?
90
Suppose 4*u - 4 = 0, -4*r + 3*u = -5 - 4. Suppose -4*p + 9*p + 65 = 0. Let i = r - p. What is the lowest common multiple of i and 10?
80
Let o(p) = p**2 + 31*p + 299. Calculate the smallest common multiple of o(-29) and 11.
2651
Let j = 10 + -6. Find the common denominator of (1 - 74/j)*2 and (-1 + 0)*(-918)/432.
8
Suppose 3*w - 3*d - 21 = 0, 4*w + 0*d - 26 = 2*d. Suppose 63 + 21 = w*o. Calculate the lowest common multiple of o and (3/(-2))/(3/(-4)).
14
Let i = 20 + 3. Suppose -4 = v + 3*o, -v + 5*v - o - i = 0. What is the smallest common multiple of (1 + (-6)/10)*(-825)/(-33) and v?
10
What is the common denominator of 8510/(-50850) + 3/(27/2) and -7/50?
5650
Let o(r) = r**3 - 40*r**2 - 82*r - 19. Calculate the least common multiple of o(42) and 30.
390
Let k = -3 + 10. Suppose 0 = -m + 2*p + 1, -3*m + k*m = -2*p + 14. Suppose 2*r = -y - 0*y + 13, -3*y + 23 = 2*r. What is the lowest common multiple of m and y?
15
Suppose -2*o = -6*o - 152. Find the common denominator of o/(-40) + (-24)/(-16) and -29.
20
Let u(g) = g**2 - 4*g + 3. Let s be u(3). Suppose -3*z = w + 8, -z + 0 - 4 = s. What is the smallest common multiple of 3 and w?
12
Find the common denominator of 99/40 and 411/2*((-53)/(-18) - 3).
120
Let j be 0 - (107524/24 - 4). Let v = 4498 + j. Calculate the common denominator of 13/8 and v.
24
Suppose 3*a - b = -2*a + 36, -2*b = -2*a + 16. Let h be (6 - a)/(2/14). Calculate the common denominator of (7/6)/((-2)/h) and -95/18.
36
Calculate the common denominator of (-9 + 175/15)*(-12)/5 and 49*((-27)/(-15) + -2).
5
Suppose 0 = -11*c + 8*c + 6. Suppose -c*b - b = -30. Calculate the least common multiple of b and 4.
20
Find the common denominator of (-10)/(10 + 200)*3/2 and 1/(-2) + (-464)/(-56).
14
Let w(m) = -m**2 + 9*m + 3. Let k be w(9). Suppose -k*r + 16 = 88. Calculate the lowest common multiple of 7 and (r/10 - -2)*-20.
56
Let b(l) = l**3 + 10*l**2 - 12*l + 11. Calculate the least common multiple of 534*3/9 + -8 and b(-11).
1870
Let o be 1 - (-4 + 2) - -4. Calculate the common denominator of -91/8 and o/(-35) - 866/(-80).
8
Let n = -4 - -7. Let p be (1 - (4 + -4)) + 5. Let q = p + 1. What is the lowest common multiple of q and n?
21
Let h(g) be the first derivative of 2*g**3/3 - g**2 - g + 3. Suppose 0 = -7*n + 9 + 19. What is the least common multiple of n and h(3)?
44
Suppose -2934 = 4*p - 2*j, -1142 = 5*p - j + 2527. Let h = 2893/4 + p. Find the common denominator of h and 13/3.
12
Suppose -7 + 73 = 3*g. Calculate the smallest common multiple of g and (88/(-14))/((-2)/(-35)*-5).
22
Suppose 0 = -2*d - 2*d + 44. Let q = -6316 - -6323. Calculate the least common multiple of d and q.
77
Suppose 42 = 2*n - 70. Suppose 31 = 4*l - 3*j, 3*l = 5*l + j - 3. Calculate the common denominator of ((-199)/n + 2)*l and -67/6.
42
Let s = -1 + 3. Let l = -1474 - -11745/8. Calculate the common denominator of l and 184/36 - s/2.
72
What is the common denominator of -3/91 and 25/(-7) - -6*(-2 + 3)?
91
Let t = 635844 + -6387973/10. Suppose 5*j = 4*d + 11817, -5*j = d -