- i. Calculate the common denominator of s and -79/22.
176
Let b(q) = -q + 16. Let u = -23 + 23. Suppose -2*r + 4*r = 40. Calculate the lowest common multiple of r and b(u).
80
Suppose -9 = u - 4*f - 1, -f - 1 = -u. Suppose i + 0*i = 16. Calculate the lowest common multiple of i and u.
16
Suppose 13 = 4*n - 3*q, 2*q = 2*n - 2*q - 4. Suppose z + 1 - 6 = 0. Suppose -c = l - 19, -3*c = -n*l - z*c + 70. What is the least common multiple of 14 and l?
112
Suppose 0*p = 4*p + 600. What is the common denominator of (p/18)/(16/(-6)) and 81/16?
16
Let r(x) be the first derivative of -x**3/3 + 11*x**2/2 - 8*x - 7. Calculate the least common multiple of r(7) and 14.
140
Let f(x) be the first derivative of -13*x**2/2 - 10*x + 1. Let z be f(8). Find the common denominator of -25/8 and (z/(-16))/(6/(-20)).
8
Suppose -3*p + 3*u + 7872 = 0, 3*u + 2626 = p - 0*u. Let x = -5147/2 + p. What is the common denominator of 65/22 and x?
22
Let j(c) = c**2 + 6*c + 4. Let x be j(-4). Let n(a) = -a**3 - 6*a**2 + a. Let f be n(-6). Find the common denominator of 364/72*f/x and 27/4.
12
Let p = 416141/18 - 23125. Calculate the common denominator of 57/10 and p.
90
Let n = -13 + 15217. Let j = n - 547423/36. What is the common denominator of j and 1/14?
252
Let i be ((-1)/2)/(1/(-24)). What is the smallest common multiple of i/(-15)*30/(-4) and 12?
12
Suppose 0 = 7*i - 2*i + j - 1048, -4*i - j + 839 = 0. Suppose i = -d - 15. Calculate the common denominator of 1/(-4) + (-1048)/d and -37/11.
77
Let w = 34927/6790 - 1/970. Calculate the common denominator of w and -33/8.
56
Let d(r) = -r**3 + 9*r**2 + 13*r - 18. Calculate the smallest common multiple of 30 and d(10).
60
Let m = -2 + 4. Find the common denominator of 69/4 and m - (-1 + (-15)/(-22)).
44
Suppose 0 = z - 6*z. Suppose -g + 2 + z = 0. Suppose q = -4*a + 8, -3 = -g*q + a + 22. What is the lowest common multiple of q and 10?
60
Find the common denominator of 4/6 - (16 + -2) and ((-67)/(-12))/((-9)/12).
9
Let s = -1024161880/4537361 + 2338718343224623/18041817797080. Let h = s - -42/71005. Let d = 740/7 + h. Find the common denominator of -91/22 and d.
88
Let w = -552337/8454 + 3/2818. Let c = -1541/24 - w. What is the common denominator of c and -59/12?
24
Let w = 12 - 6. What is the lowest common multiple of 20 and w?
60
Let r = 12619/22 - 6258/11. Let l = 4 + -3. Calculate the common denominator of l/(-2) + 18/(-8) and r.
44
Suppose 0 = -5*a + 10 - 0. Find the common denominator of -67/2 and (a/6)/(1/(-53)).
6
Suppose -t + 32 = 3*t. Calculate the lowest common multiple of ((-30)/t)/(12/(-32)) and 10.
10
Calculate the common denominator of (-91)/22 + 14 + -14 and 57/2.
22
Let f = -5 - -13. What is the smallest common multiple of 4 and f?
8
What is the common denominator of 31/18 and 5/(-3) - -1 - 82/(-102)?
306
Let x = 94/229 + -26185/11908. Calculate the common denominator of -121/12 and x.
156
Let u(n) = n**2 + 2*n - 4. Let v be u(-3). Let h = v + -39. Find the common denominator of 49/8 and (-14)/h*70/(-4).
8
Let z = -595/2 + 310. Calculate the common denominator of -145/12 and z.
12
Suppose -5*j + 5*y = -25, 7*y + 21 = j + 2*y. What is the smallest common multiple of 10 and j?
10
Let o = 67017301/2425 + -27636. Let r = 123677/4850 - o. Let f = 50764/9 - 5646. Find the common denominator of f and r.
18
Calculate the smallest common multiple of 512/28 - (-4)/(-14) and 14.
126
Let i = -8265/194 - -10/97. Find the common denominator of 55/18 and i.
18
Suppose -32 = -5*p - 7. Suppose -22 = o - 2*z - 1, o = -p*z - 28. Let c = 39 + o. Calculate the lowest common multiple of 22 and c.
176
Suppose z + 3*u - 4 = 0, -21 = 4*z - 5*u + 14. Let w = z + 7. What is the lowest common multiple of w/5 - (-76)/10 and 22?
88
Let p be (-6)/(-1)*(-10)/(-6). Find the common denominator of (p/(-15))/((-88)/366) and 65/4.
44
Let a be (-1)/(-9)*144/33. Let r = 1339/165 + a. Calculate the common denominator of r and -21/11.
55
Find the common denominator of -4/9 and (22/(-48))/(8/528*-3).
36
Let g(i) = i**3 + 7*i**2 + 5*i - 11. What is the smallest common multiple of 8 and g(-5)?
56
Let o(u) = -u - 7. Let c be o(-7). Let z(d) = -2*d + 2. Calculate the least common multiple of 8 and z(c).
8
Let j be 2/4 + (-14)/(-4). Suppose 3*i + 2*l + 3*l = 26, -4*i + l + j = 0. Calculate the smallest common multiple of i and 4.
4
Let k(b) = 12*b. What is the least common multiple of (-6)/9 + (-62)/(-3) and k(1)?
60
Let c = 1 - -10. Calculate the lowest common multiple of 1/5 + (-117)/(-15) and c.
88
Calculate the common denominator of (3/54)/(1/53) and (-132)/15 - 1/2.
90
Let g = -29 + 48. Calculate the least common multiple of 11 and g.
209
Let o be (-14)/35 + 299/60. Let y = -181/36 + o. What is the common denominator of (-6)/10*-2 - 1 and y?
45
Let g be (1*42*1)/2. Let r = g + -13. What is the lowest common multiple of r and 8?
8
Let n = -18867/748 + -5/187. Find the common denominator of n and -4/9.
36
Suppose 2*z = 4*y + 5*z - 99, 2*z - 2 = 0. Suppose -12 = -4*s + y. Calculate the least common multiple of 7 and s.
63
Let l = 2448 - 26970/11. What is the common denominator of l and -107/10?
110
Find the common denominator of (7/(-14))/((-2)/79) and -27.
4
Let o = -20063/30 - -1979/3. Find the common denominator of -75/2 and o.
10
Suppose -4*t = -5*t + 14. Let g(u) = -u**2 - 11*u - 6. What is the lowest common multiple of g(-9) and t?
84
Suppose 9 + 201 = 7*q. What is the smallest common multiple of q and 27?
270
Let t = 4213/14 - 1466/7. Let r = t - 317/4. What is the common denominator of 76/3 and r?
12
Calculate the smallest common multiple of 1 + 1 + 3 + -3 and 5/(-1)*(2 - 3).
10
Let p = -28 - -42. Suppose p = 2*z - 2*y - 8, -4*z + 40 = -3*y. What is the smallest common multiple of z and 9?
63
What is the common denominator of ((-89)/(-8))/(9/(-4)) and 205/2*(-2)/10?
18
Let n(o) = o**3 + 5*o**2 + 5*o + 6. Suppose 2*s + 9 = -7. Let p(w) = -w**3 - 8*w**2 + 2*w + 12. Let v be p(s). What is the least common multiple of 10 and n(v)?
10
Let l = 829 + -5836/7. Find the common denominator of l and (1 - 11)*60/475.
133
Let z be (20/(-66))/((-332)/5604). Let g = 2/83 - z. Calculate the common denominator of g and (-155)/(-25) + 1/1.
55
Suppose -5 = -4*o + 3. Suppose -11 = -g - n, 0 = -o*n + 3 - 1. Let c = 16 - g. Calculate the least common multiple of c and 8.
24
Suppose -4*o + 4*r = o - 23, -3*r = -5*o + 21. What is the smallest common multiple of 42 and o?
42
Let h(f) = -f**3 - 3*f**2 - 3*f + 1. Suppose -a + 4*a = -5*u + 30, 30 = 3*a + 3*u. Calculate the smallest common multiple of h(-3) and a.
10
Suppose -22 = 2*q - 6. Suppose 0 = n + i + 391, 2*i - i = -1. Calculate the common denominator of (n/q)/(2 + 4) and -35/9.
72
Let m be 0/((-5)/((-10)/4)). Suppose m = 4*i + 5*p - 16, 0 = 4*i - 3*p + p - 16. Suppose 0*j + j = 1. What is the lowest common multiple of i and j?
4
Let i(b) = -11*b**3 - b. Calculate the lowest common multiple of 11 and i(-1).
132
Let n(y) = -y**2 + 4*y + 4. Let q be n(4). Let h(c) = -c**3 + 6*c**2 - 4*c - 5. What is the smallest common multiple of 7 and h(q)?
77
Let f = -109 - -179. Find the common denominator of (23/(-21))/((-12)/f) and (226/(-20))/(42/35).
36
Let p = 0 - -2. Let o be 7 - (-7)/(7/(-2)). Let f = o + -1. What is the least common multiple of f and p?
4
Suppose -4*u = -u - 126. Suppose -4*a + 4*f = 4, 4*a - 5 = 3*a - f. Suppose 5*s = u - a. What is the smallest common multiple of 14 and s?
56
Suppose 0 = -2*m + m. Let x = m - -6. Calculate the lowest common multiple of x and 10.
30
Let j = -6496109/140 - -46400. Calculate the common denominator of j and -97/10.
140
Suppose 5*z - z = 32. Calculate the lowest common multiple of z and 40.
40
Suppose 0 = -4*x + 7 - 27. What is the lowest common multiple of 5/20 + 19/4 and (-9 - x)*(-6)/4?
30
Calculate the least common multiple of 1*(0 + 16/2) and (-29)/58 - (-18)/4.
8
Let f be -4 - (-4)/2 - 18. Find the common denominator of 81/2 and ((-26)/(-5))/(36/f).
18
Suppose 0 = -y - y. Suppose y = -2*g - 4. Let u = g + 6. Calculate the smallest common multiple of 14 and u.
28
Let s = 122 + -884. Let z = s + 443. Let d = z - -2525/8. Find the common denominator of -62/3 and d.
24
Let x be 3356/(-45) + 18/(-81). Let n = x - -393/10. What is the common denominator of -117/10 and n?