 the common denominator of n and -23/8.
88
Calculate the common denominator of 1122/240 - (6 + -2) and 81/32.
160
Calculate the lowest common multiple of 6*716/102 + 14/(-119) and 27.
378
Let h(s) = -s**3 - s**2 - s - 36. Let k = -5/34 - 669/17. Find the common denominator of h(0) and k.
2
Suppose -5*g - 10 = -5*z, -6 = -3*z - g + 12. Let k(f) = -f**3 + 5*f**2 + 5*f - 7. Let o = 1 + 1. Calculate the lowest common multiple of k(z) and o.
18
Let j(f) = f**2 + 7*f + 5. Let r be j(-6). Calculate the smallest common multiple of (-2 - r)*-16 + 0 and 12.
48
Let o = 33 - 1. Suppose 0 = -5*a + a + o. Suppose -26 = -3*m - 2. What is the lowest common multiple of m and a?
8
Suppose 4*w = 58 + 22. Let g(h) = -h**3 - 7*h**2 - h - 5. Let c be g(-6). Let b = c + 53. Calculate the lowest common multiple of w and b.
180
Let g be ((-6)/(-15))/(4/(-20)). Let q be 2*(90/4 + g). Let z = q + -29. Calculate the lowest common multiple of 4 and z.
12
Suppose 3282 = -3*r - 4035. Let l = r + 24297/10. Calculate the common denominator of l and 47/8.
40
Let a(m) = m**2 + 2*m - 1. Let x be a(1). Suppose -5*s + x = -8. Suppose -s*p = 3*p - 50. Calculate the smallest common multiple of p and 1.
10
Suppose 0*z + z = 0, -2*y + 16 = z. What is the lowest common multiple of 12 and y?
24
Let p be 42/15 - (-4)/20. Find the common denominator of 23/(-5) + (4 - p) and 1/10.
10
Let g = 397873007 + -8259843702569/20760. Let j = g - -11/865. What is the common denominator of 41/20 and j?
120
Suppose 4*v + 2*v = 144. What is the common denominator of v and 11/6?
6
Suppose -3*w - 8 - 4 = 0. Find the common denominator of 66/w + (-3)/(-6) and 37.
1
Let z be 570/(-108)*(-2011)/(-35). Let n = -2672/9 - z. Find the common denominator of n and 87/8.
56
Suppose -7 = -2*b + 1, 4*w - 3*b + 48 = 0. Let r(q) = q**3 + q + 14. What is the least common multiple of r(0) and 2/w - (-256)/18?
14
Let f = 77/16 + 13/16. Find the common denominator of f and -97/10.
40
Let w = -3 + 2. Let a be (w + -91)/((-4)/10). Find the common denominator of 2/6 - a/42 and 91/2.
14
Let q = -1486/91 - -103/7. Let k = 217/78 + q. What is the common denominator of 15/7 and k?
42
Let f = 18497/10 + -1848. Let j = -33/79 - -5583/316. Calculate the common denominator of j and f.
20
Suppose -12 = -2*g - 0. Calculate the least common multiple of g and 3.
6
What is the common denominator of 23/8 and (2 + (-138)/4)/4?
8
Let b(s) = s**2 + 7*s + 2. Let g be b(-7). Suppose -5*i = -115 + 25. Calculate the lowest common multiple of i and 1/((-111)/(-54) - g).
18
Find the common denominator of -121/6 and (-323)/133 - 2/(-7).
42
Find the common denominator of (-2079)/45*2/72*-2 and -38/33.
330
Let n = 7 - 5. Suppose 3*i - 4*o - 37 = 0, 3*o + 0 = -2*i + n. Calculate the least common multiple of 6 and i.
42
Let b(c) = -5*c + 6. Let r be b(6). Calculate the common denominator of 2 - -14*(-3)/(-5) and ((-117)/r)/(-3) - 0.
40
Let v(i) = -i**3 - i + 16. Calculate the smallest common multiple of 4 + -2 - 1*(0 + -2) and v(0).
16
Suppose -2*r - 4 - 8 = -3*x, 5*x = -2*r + 36. Suppose 4 = 2*q - 2, -t = -q - x. Suppose -3*k = -2 - 19. What is the smallest common multiple of t and k?
63
Let g = -489/100 - 34/25. What is the common denominator of 59/12 and g?
12
What is the least common multiple of 4 and 10/(15*(-4)/(-24))?
4
Suppose 0 = -2*s + 127 - 71. Let r = 41 - 25. Let l = s - r. What is the least common multiple of 20 and l?
60
Let x(t) = -t + 4*t**2 + 2 - 6 + 2 - 2*t**2. What is the least common multiple of x(2) and 34?
68
Let r(u) = -2*u**2 - 14*u. Let i(k) = k**3 + 6*k**2 + 3*k - 2. Suppose 0 = 2*h + h + 15. What is the smallest common multiple of i(h) and r(-6)?
24
Suppose 2 = 4*w - 2. What is the smallest common multiple of (14/(-6)*-3)/w and 3?
21
Let k = 9 + -3. Let g be (5 + -1)*(-3)/k. Find the common denominator of 38/11 and g/12 - 2/2.
66
Suppose -5*j - 5*x - 3 + 113 = 0, -6 = -3*x. What is the least common multiple of (-3)/((-6)/(-4)) + 6 and j?
20
Suppose 3*p - 34 = 134. Calculate the common denominator of -32/5 and 8/(-28) + (-103)/p.
40
Let b = 433/594 - 5/54. Let n = -2/261 + -694/261. Find the common denominator of n and b.
33
Find the common denominator of -32/9 and -1 + 53/(-14)*-2.
63
Suppose i - j - 2 = -0*i, 2*i = -3*j + 9. Suppose 44 = 5*o - i*o. Calculate the lowest common multiple of (-2 + -6)*(-2)/1 and o.
176
Let a = 6 - 6. Let z(d) = -d + 4. What is the least common multiple of 1 and z(a)?
4
Suppose -w + 5 - 20 = -q, w = -4*q + 35. Let v(d) = d**3 - 2*d**2 - 3*d + 2. What is the lowest common multiple of v(3) and q?
10
Find the common denominator of 469/(-126)*2/(-4) and 41/10.
180
Let d = 42 - 92. Let r be 12*(2 - 1)/2. Suppose z - 48 = -u, 4*u = 4*z + r*u - 192. Find the common denominator of z and d.
1
Suppose m - 61 = -2*g, 0*g + 4 = 2*g. Let j = m - 39. What is the least common multiple of 6 and j?
18
Let s = -2665/36 - -712/9. Find the common denominator of s and -65/9.
36
Let g(p) = -p**3 + 14*p**2 + 16*p - 11. What is the lowest common multiple of g(15) and 20?
20
Let n = 0 - -1. Calculate the lowest common multiple of n and (-14)/(-6) - 23/69.
2
Let n(i) = -i**2 + 8*i + 12. Let w be n(9). Suppose -w*u + 84 + 24 = 0. Let j = u - 16. What is the smallest common multiple of j and 2?
20
Suppose 0 = 58*c - 61*c + 75. Calculate the smallest common multiple of c and 8.
200
Let i be -3 - -9 - (1 - -1). What is the least common multiple of (-3 + 7)/i + 2 and 11?
33
Suppose -z - 3 = -2. Calculate the least common multiple of (1 - 0)/((-1)/(-9)) and 3/3 + 1 - z.
9
Let z(p) be the first derivative of -p**3/3 + 2*p**2 + 3*p - 2. Let r be z(5). Calculate the common denominator of (-115)/3 + r/3 and 77/2.
2
Calculate the least common multiple of 6 and 1358/70 + 6/10.
60
Let l = 7772 + -46739/6. Let o(r) = r + 1. Let y be o(-5). What is the common denominator of 214/(-72) + y/(-18) and l?
12
What is the common denominator of 23/20 and (3/45)/(12/(-243))?
20
Suppose u - 2*x = 4, 0 = 5*u + 5*x - 20 - 15. What is the least common multiple of u and 3?
6
Let i be 3 + (3/1 - 3). Suppose a - 16 = -2*s - a, -i*a = -2*s + 36. What is the common denominator of (32/12)/(s/(-2)) and -7/4?
36
Let l(t) = t**2 - 4*t + 11. What is the smallest common multiple of 1 and l(4)?
11
What is the common denominator of -21/4 and (1/(-9))/((-4)/(105 + -1))?
36
Suppose 32*t = 28*t + 40. Calculate the least common multiple of t and 5.
10
Suppose 4*g - 3*g = -3. Let o = g - -12. What is the smallest common multiple of (4/2)/((-6)/(-18)) and o?
18
Calculate the least common multiple of 18 and 5/2*4/5.
18
Let h(w) = 2*w**3 + 16*w**2 + 8*w - 13. Find the common denominator of 412/24 + 2/4 and h(-7).
3
Let g = 238 + -13. Find the common denominator of g/24*(-2)/(-4) and (-1)/12*(-10)/(-3).
144
Let y(t) = 2*t**3 - 4*t**2 + 4*t - 3. Let i be y(2). Suppose 57 = 3*x - 5*v + 15, v = i*x - 70. Find the common denominator of (0 - -2)*x/(-24) and 121/10.
30
Suppose 3*c = 16 + 68. Let f = -12 + c. What is the smallest common multiple of f and 14?
112
Suppose -2*j + 3*v = 3, 4*j - 7*j + 2*v + 3 = 0. Suppose 3*k + 28 = 5*k - 3*u, 0 = j*k + 3*u - 42. Calculate the least common multiple of 14 and k.
14
Let t = -32 - -52. Let r be (2 - 3)*(-2 - 2). Suppose -r*m + 36 = -m. Calculate the least common multiple of m and t.
60
Let z = 6/19 - 145/38. Let l = -96481/16 + 6036. Find the common denominator of l and z.
16
Suppose m = 4 - 2. What is the least common multiple of 30 and m?
30
Let s = 18 - 14. Suppose 4*t + 5*m - 52 = 0, -5 + 25 = 2*t + s*m. Suppose 2*h + 2*l = 4, 2*h + 6 = 5*h + 5*l. Calculate the lowest common multiple of h and t.
18
Let i(o) = 3 + 15*o - 3. Let k be i(1). Calculate the common denominator of (5/k)/(16/(-438)) and 45/2.
8
Let j = 19567 - 391253/20. Let y = -116989/7932 - 2/1983. What is the common denominator of j and y?
20
Suppose -5*d - 3*f + 100 = -2*f, -3*d = -4*f - 60. What is the least common multiple of d and 22?
220
Calculate the least common multiple of (-2 - -3)/(-1) + 2 and 8.
8
Calculate the common denominator of -35/11 and ((-40)/(-12))/5*(4 + -3).
33
Let x = 17 - 15. Let l = 29 - 11. Calculate the lowest common multiple of l and x.
18
Let m be (-9)/6*(-262)/(-372). Let o = -6/31 + m. Find the common denominator of (46/6)/((-35)/21