0
Let k = -21201527471/6940650332 + 2568/336337. Let o = k - -3/1876. What is the common denominator of 51/22 and o?
22
Suppose -d + 5 = -0, 2*d - 34 = -3*p. Let a(r) = 2*r**2 - 3*r + 3. Let i be a(2). Suppose -33 = -i*c + 17. Calculate the lowest common multiple of p and c.
40
Let v be 3 + -1 - 0 - -2. Suppose 0*f - 3*r = -3*f + 15, -3*f = v*r + 6. Calculate the lowest common multiple of 8 and f.
8
Suppose 30 = -2*o + 4*o + 4*w, 0 = -5*o + 5*w. Suppose -o*q + q = -24. What is the lowest common multiple of 8 and q?
24
What is the least common multiple of 3/(-3)*(4 - 5) and 8?
8
Let p = 5363/4 + -1356. Suppose -s = 2*s + 216. Calculate the common denominator of p and 182/s + 2/8.
36
Suppose -2*d + 3*d + 5*l + 9 = 0, -5*d = l - 75. Suppose -m = -3*u - 22, 2*u + 10 = -3*u. What is the lowest common multiple of d and m?
16
Let i be (-131)/(-149) - (-3 + 4). Let v = -318419191/1788 + 712363/4. Let u = i + v. Find the common denominator of u and -65/6.
6
Suppose -60 = -72*d + 68*d. What is the smallest common multiple of 5 and d?
15
Suppose -4*d + k - 29713 = -0*d, k = -4*d - 29703. Let g = d - -118925/16. What is the common denominator of 43/8 and g?
16
Suppose -3*y + 30 = 15. Calculate the least common multiple of y and 5.
5
Let o(f) = -f**3 - 3*f**2 - 4. Let k be o(-5). Let a = k - 67. Calculate the smallest common multiple of 3 and (-136)/(-14) + (-6)/a.
30
Let w be -2*(-4)/((-16)/(-202)). Let y = w - 251/3. What is the common denominator of y and -73/3?
3
What is the common denominator of 41/2 and (1 - 1) + (-170)/(-12)?
6
Suppose 12 = h + 2*h. Suppose -33 - 9 = -3*z + 2*l, h*z + l - 45 = 0. Let u(s) = -2*s**3 - 5*s**2 - 3*s. Calculate the least common multiple of u(-3) and z.
36
Let d = 55 + -39. Calculate the least common multiple of 14 and d.
112
Let c be (-83)/(-2) + (-1)/(-2). Let a = c + -28. Suppose 60 = 5*b - l, 0*l + 3*l = b - 12. What is the lowest common multiple of b and a?
84
What is the common denominator of 89/18 and (-132)/5*11/(-33)?
90
Let q = 1 + 9. What is the lowest common multiple of 1 + -1*9/(-1) and q?
10
Let t be -7 + 0/2 + 2. What is the smallest common multiple of 12*((6 - 4) + -1) and (-1)/((10/24)/t)?
12
Let s = -2 + 5. Suppose -28 = -2*o - 3*a, -6*o + s*o + 4*a + 76 = 0. What is the lowest common multiple of 7 + 3 + (-2)/1 and o?
40
Suppose 3*x - 76 = -x. Let u = x + 84. Suppose 5*h - u = -m, -5*m - 25 = 2*h - 4*h. What is the least common multiple of h and 20?
20
Find the common denominator of 123/36 + (-4)/32 and -55/4.
24
Find the common denominator of (-70)/(-20)*(-2)/(-10) and 31/18.
90
Suppose 2*v + 10 = -3*a, -2*a = -a + 2. Let c(u) = 5 - 11*u - 5. Calculate the lowest common multiple of 14 and c(v).
154
What is the smallest common multiple of -22*(-2)/4*(10 + -8) and 28?
308
Let a(s) = s**2 - 4*s - 4. What is the smallest common multiple of a(6) and 2 - ((-4)/(-4))/(2/(-12))?
8
Suppose 0 = -7*i + 5*i + 12. What is the least common multiple of i and 11?
66
Calculate the common denominator of -12 - 1 - 6/(-12) and 10/3.
6
Let k(l) = l + 17. What is the common denominator of -39 and k(-14)?
1
Let g(c) = c**3 - 6*c**2 - 3. Let s be g(6). Suppose 4 = 2*p + 10. What is the common denominator of -75/8 and 47/11*p/s?
88
Let s = 11 - 4. Let i(p) = p**2 - 5*p + 4. What is the lowest common multiple of 18 and i(s)?
18
Let v(g) = g + 4. Let p(y) = -y**2 + 9*y - 1. Let j be p(8). Let k(w) = 2*w + 8. Let i(c) = j*v(c) - 3*k(c). What is the smallest common multiple of 9 and i(4)?
72
Calculate the least common multiple of 4 and (-110)/(-25) - 2/5.
4
Let u = 2/827 - 33943/14886. Calculate the common denominator of -1/22 and u.
198
Let o = -52/19 + 1783/228. Calculate the common denominator of o and 109/6.
12
Suppose -5*z - 4*z = -18. What is the smallest common multiple of z and 14?
14
Calculate the lowest common multiple of 1 and 9/1 - 24/8.
6
Let a(v) = v**3 - v**2 + v - 2. Let x be a(0). Let r be (177/60 - 1) + x. Let h = r - -1523/60. Calculate the common denominator of 24/11 and h.
33
Let s(n) = 7*n + 2. Let j be s(-2). What is the common denominator of 51/(-16) + 4/(-2) and 109/33*j/(-8)?
176
Suppose -s = 5*t - 15, 3*t + 4*s - 9 = -s. What is the common denominator of -26 + t + -1*6 and -61/5?
5
Find the common denominator of (0 - 5/(-18))*75 and 28/(-7) - 237/(-84).
84
Let b = 12/79 + -8195/1422. Calculate the common denominator of -103/12 and b.
36
Suppose 5*j + 0*j - 25 = 0. Calculate the smallest common multiple of -9*(-1)/(-2 + 5) and j.
15
Let y(m) = -m**2 - 12*m - 13. Let o be y(-12). Calculate the lowest common multiple of 2*11 + o + 11 and 8.
40
Suppose -10*v + 16*v - 72 = 0. What is the smallest common multiple of 12 and v?
12
Let y = 1270/3 + -88609/210. Calculate the common denominator of y and 61/16.
560
Let x = 480 + -1412/3. Find the common denominator of -21/8 and x.
24
Suppose -25 = -3*d - 1. Calculate the least common multiple of d and 20.
40
Let s(z) = -z**3 - 4*z**2 + 5*z + 16. Let t be s(-5). Suppose 2*b = 11 + 43. Let y = b - t. Calculate the smallest common multiple of y and 11.
11
Let i = 2 - 1. Find the common denominator of 2 - ((-81)/21 - i) and 78/(-8)*8/12.
14
Let n(p) = -11*p + 1. What is the lowest common multiple of n(-3) and 18?
306
Calculate the common denominator of ((-4)/42)/(4*15/(-1085)) and 53/8.
72
Let p be -3 - -2 - (0 + 1). Calculate the least common multiple of 6 and 1 - p*1/1.
6
Let k(v) be the third derivative of -v**6/120 + v**5/10 - v**4/12 + 7*v**3/6 + 4*v**2. Calculate the lowest common multiple of k(5) and 20.
220
Let y = -2 + 6. Suppose y*v - 16 = 2*v. What is the smallest common multiple of 10 and v?
40
Let y = 977/980 + -164/49. Find the common denominator of y and 54/25.
100
Find the common denominator of 85/6 and ((-66)/16)/(276/(-80)).
138
Suppose 41 = 5*i - 9. Let r(g) = -3*g - 3*g + 5 + 5*g. Calculate the least common multiple of i and r(-4).
90
Let s(t) = -10*t - 10. Let n be s(-7). Let b be -2 - (2 - (-676623)/n). Let u = b + 11284. Calculate the common denominator of -41/6 and u.
60
Let a = 869/5 + -7721/45. What is the common denominator of a and -29/21?
63
Let h = -7149733/10 + 717393. Let w = h + -2411. What is the common denominator of -21/8 and w?
40
Suppose -p = -12*p + 253. Calculate the lowest common multiple of p and 8.
184
What is the common denominator of (-2)/9 + (-86)/12 and (-69)/18 - (-4)/18?
18
Suppose -2 = -2*x + 6. Let q(z) = z**2 + 2*z + 1. Let f be q(-5). Find the common denominator of 151/(-20) + x/f and 2.
10
Suppose 0 = -5*l - 1 + 11. What is the least common multiple of 1 + 2 + -1*4/(-2) and l?
10
Let g be ((-6)/(-15))/((-2)/(-100)). Let n be (g/(-6))/(-5)*-27. Let x = -12 - n. Calculate the smallest common multiple of 9 and x.
18
Let h = 43 + -23. Let a(t) = t - 1. Calculate the least common multiple of a(5) and h.
20
Let y(n) = n**3 - 3*n**2 - 2*n - 3. Let g be y(4). Suppose 3*w - 10 = a, -3*w + a + g = 5*a. What is the smallest common multiple of (-14)/(-4) + w/6 and 14?
28
What is the common denominator of 1/(-15)*8255/(-26) and 85/4?
12
What is the smallest common multiple of 17 and (-126)/30 - -4 - 31/(-5)?
102
Let q be ((-26498)/(-48))/((-845)/25). Let p = -1/1352 + q. Find the common denominator of p and 14.
3
Let l = -16702/9 - -1849. Find the common denominator of 55/3 and l.
9
Suppose -33 - 47 = -5*l. Let d(f) = f**3 + 5*f**2 - 4*f - 2. Calculate the least common multiple of l and d(-5).
144
What is the common denominator of 1/5 + (-92)/(-3120)*-7 and -71/18?
468
What is the common denominator of ((-399)/15)/((-3)/(-15) + 1) and -27/4?
12
Suppose -59 = -3*u + 3*j + 40, 3*j = -2*u + 51. Calculate the least common multiple of 21 and u.
210
Let c = -3972462 + 23775553/6. Let s = c + 9895. Find the common denominator of 40/9 and s.
18
Suppose 2 = 2*i + 4*r, 15 - 65 = -5*i - r. Let c(z) = z**2 - z + 1. What is the smallest common multiple of i and c(2)?
33
Let r = -2 - -3. Let l = -105 + 108. Calculate the lowest common multiple of l and r.
3
Let f(b) = b + 17. Suppose -s - 4 = -14. What is the lowest common multiple of s and f(-8)?
90
Suppose -2271 = 4*i + 433. Let z = -2789/4 - i. What is the common denominator of z and -47/8?
8
Let a(d) = 4*d - 4. Let w be a(3). Let o = w - 2. Let p = 0 + 2. What is the smallest common m