 What is the common denominator of -71/22 and a?
220
Suppose 8*r - 2 = 2*j + 4*r, 5*j + 3*r = 47. What is the lowest common multiple of 6 and (-8)/4 + 1*j?
30
Let p(f) = -2*f - 12. Let o be p(-8). Suppose o + 6 = 2*t. Suppose 2*y + 0*b = -b + 12, -5*b = -4*y + 10. Calculate the smallest common multiple of t and y.
5
Find the common denominator of (-17 - -2)/((-4)/10) and -45/8.
8
Suppose 448 = -2*o + 178. Let y be (6/o)/(4/1032395). Let r = 11477 + y. Calculate the common denominator of r and 111/14.
126
Suppose 9 = 4*b + 3*d, -3*b = -2*b - 3*d - 6. Let x(j) = 2*j - 2. Let v be x(b). Let u = v - 2. Calculate the smallest common multiple of u and 18.
18
Suppose -2 - 4 = 3*d. Let s(f) = -2*f**3 - 2*f**2 - f + 2. Suppose o - 1 = 5. What is the smallest common multiple of s(d) and o?
12
What is the common denominator of 77/4 and (2/(-3))/(30/(-177))?
60
Let r = 4647/4 + -672. Let g = 496 - r. What is the common denominator of g and -31/20?
20
Let y(j) = 2 + 5*j - 2*j - j**2 - 2*j**2 + 4*j**2. Let x be y(-2). Find the common denominator of 25/11 and (-102)/(-10) + x/3.
55
Suppose -3*g = -115 + 34. What is the common denominator of g and -56/9?
9
Let s = 1920391/52 - 36933. Let w = s - -7/468. Calculate the common denominator of w and -91/18.
18
Suppose 2*i + 3*w = 40, -40 = i - 3*i + w. What is the least common multiple of i/6*(-3)/(-1) and 4?
20
Let x(g) = g**2 - 4*g + 4. Let v be x(5). Suppose -v + 25 = h. Calculate the lowest common multiple of 6 and h.
48
Let s(d) = d**2 - 5*d - 6. Let x be s(6). Suppose z - 3*j + 15 - 2 = x, 2 = 2*j. Find the common denominator of -1 + 1 + 16/z and -8/7.
35
Let q(k) = -k**3 + 7*k**2 - 7*k + 6. Let f be q(6). What is the lowest common multiple of f - (0/2 + -2) and 9?
18
Let n = -17 - -27. What is the least common multiple of n and 3?
30
Find the common denominator of 97/10 and ((-94)/24)/((-1)/4).
30
Let b be (40/(-12))/((-1504)/165). Let d be (-114)/(-376) + 6/24. Let a = d - b. Calculate the common denominator of 17/8 and a.
16
Let g be ((-21)/(-686))/(48/(-4982)). Let m = -46257/98 + 472. Let a = m + g. Calculate the common denominator of -13/16 and a.
16
Let l be (-139316)/(-33) - 2/6. Let c = 4217 - l. Let a = 25/7 + 176/35. Find the common denominator of c and a.
55
Let k = -3242 + 19387/6. What is the common denominator of k and -41/16?
48
Suppose -1 = 2*j - j. What is the lowest common multiple of 5 and (-2)/3*15/j?
10
Let b be (3 - 0) + 0 + -3. Suppose -4*n = -b*n - 20. Suppose n*w - 9 - 11 = 0. What is the least common multiple of 2 and w?
4
Suppose -2*w = -16 - 4. Suppose -x + 2 = -3. Suppose x*h + 0 = 10. Calculate the least common multiple of h and w.
10
Suppose 4*r - 9 + 5 = 0. Suppose x - 51 = -4*i, r = -i + 5*x - 2. What is the lowest common multiple of i and 16?
48
What is the common denominator of (-4)/(-22) - (-46)/11 and 29/12?
132
Let b = -71859 - -435537397/6061. Let j = 115195/109098 + b. Find the common denominator of j and (3/(-9))/((-4)/(-79)) + -1.
36
Let b = -60434/5 + 12146. Let h be 42/70 - (-1871)/35. Let k = b - h. Calculate the common denominator of 11/9 and k.
63
Suppose 0 = -2*b - 2*s - 6 - 8, -5*b - 15 = -5*s. What is the lowest common multiple of 2 and 3 + (1 - -1 - b)?
10
Let m(w) = -w**3 + 2*w - 1. Calculate the smallest common multiple of 5 and m(-2).
15
Let s be (-4)/18 + (-158)/18. Let b be ((-6)/1624)/(s/(-27154)). Let m = 4/203 - b. What is the common denominator of -35/4 and m?
12
Let y = 1123 - 11179/10. Calculate the common denominator of y and 79/2.
10
Let o = -16/3 + 281/6. What is the common denominator of o and -29/20?
20
Suppose 0 = 7*j - 3*j + 2*p - 26, 4*p - 12 = 2*j. Let h(n) = n**3 - 11*n**2 + n - 5. Calculate the lowest common multiple of j and h(11).
12
Let k = -6515/3273859937 - -5705658950220151333/3742021907991. Let s = k + -13722620/9. Let z = 8/127 - s. Calculate the common denominator of -5/2 and z.
6
Let q = 363333/40 + -9084. Calculate the common denominator of q and -29/64.
320
Let i = -65/21 - 173/21. Calculate the common denominator of -65/63 and i.
63
Let d(x) = x**2 - 5*x - 10. Let n = -4 + 4. Suppose -2*p - 3*p + 35 = n. Calculate the lowest common multiple of d(p) and 14.
28
Suppose 2*b - 6 = -0. Suppose s = b*d + 2 + 2, 4*s = 3*d - 2. What is the common denominator of -145/6 and 22*1 + d/(-3)?
6
Let t be 736/(-6) + 1/(-4). Let o = t - -135. Calculate the common denominator of 27/14 and o.
84
Let o(s) = -2*s**3 + 9*s**2 + 5*s - 4. Let x be o(5). What is the smallest common multiple of 4/8*x - -15 and 11?
143
Suppose 25 = -5*o, o + o = -2*i - 6. Let u = i + 6. Calculate the least common multiple of 4 and u.
8
Let i = 2159/2 - 1055. Suppose -4 - 4 = -z. Find the common denominator of i and (62/(-10))/(z/(-60)).
2
Find the common denominator of 20/110 - 1223/374 and -111/22.
374
Suppose 0 = -h - 4*h + 4*i + 13, -2*i - 4 = -2*h. Suppose -7*c = -17 - 18. Calculate the smallest common multiple of h and c.
5
Let d(m) = 4*m - 4. Let h be d(2). Suppose 0*n + 24 = h*n. Calculate the lowest common multiple of 10 and n.
30
Let i = -6812394414135/90478 - -1430573484/19. Let q = i - 2/2381. Calculate the common denominator of 33/16 and q.
16
Calculate the common denominator of 186/(-28) - (2 - 2) and -2 + (1 - (-102)/(-32)).
112
Let b be (32/5)/(4/10). Let p = -8511/8 - -1069. What is the common denominator of p and 3 - -2*126/b?
8
Suppose -37 - 7 = -2*u. What is the smallest common multiple of (u/10)/((-3)/(-15)) and 2?
22
Suppose -3*a + 14 = 3*o - 5*o, -3*o + 4*a - 19 = 0. Let f be (-6 - o)*12/10. Calculate the common denominator of (f/(-14))/(60/798) and -5/14.
70
Let c = -59633/35376 - 4/2211. What is the common denominator of c and -47/4?
16
Suppose 1 = -2*q + 9. Let z(u) = -u**3 - 5*u**2 - 2*u + 5. Let s be z(-6). Suppose -5*m + s = -17. What is the least common multiple of m and q?
28
Let t be (-40)/12*8/170. Let q = 2971/408 + t. Calculate the common denominator of (-61)/2 + -1 - -2 and q.
8
Let t = -35/18 + -287/36. Let k be 4 + -2 - (-13194)/(-16). Let c = -821 - k. Calculate the common denominator of t and c.
24
Let n = -50671/21 + 2412. Calculate the common denominator of 40/27 and n.
189
Let y(p) = 6*p**3 - p**2 + 1. Let x be y(-1). Let a = x + 15. Let o = -11 - -14. What is the lowest common multiple of a and o?
9
Let z be (-36187)/(-3810)*6/4. Let y = z + 2/635. Calculate the common denominator of y and -21/11.
44
Suppose 5*s + 41 = 121. Suppose m - 15 = -2*m, -3*v + m - 32 = 0. What is the least common multiple of (-1)/(9/12)*v and s?
48
Let t(z) = z**3 - 8*z**2 - 7*z + 2. Calculate the smallest common multiple of t(9) and 4.
20
Let s = -18 - -45. Suppose s = -4*m - 5. Let d = 13 + m. What is the smallest common multiple of 4 and d?
20
Calculate the smallest common multiple of 3 - 1*(4 - (6 + 4)) and 3.
9
Let w = 102461/70 - 7294/5. Let y be (-4044)/(-15) + 6/15. What is the common denominator of w and (12/(-20))/((-8)/y)?
28
Find the common denominator of 1/(((-6)/(-424))/((-4)/(-16))) and -37/6.
6
Let r = 0 + -6. Let v(f) be the first derivative of f**4/4 + 7*f**3/3 + 2*f**2 - 8*f - 20. What is the least common multiple of v(r) and 12?
12
Let r = 268 - 583/2. Calculate the common denominator of r and -26/5.
10
Suppose 23 + 73 = h. What is the lowest common multiple of 10 and h?
480
Let m = 95718337/18 + -5314319. Let w = 3359 - m. What is the common denominator of 348/(-80) + 4/(-10) and w?
36
Suppose -a - 48 = 2*a. Calculate the common denominator of 1/1 - (-99)/a and -85/16.
16
Let u = 13 + -15. What is the common denominator of 79/10 and 9/(-6) + (-26)/u?
10
Let i be (32/6)/(2/6). Suppose 0 = -5*t - i + 86. Calculate the common denominator of (t/20)/((-2)/32) and 109/6.
30
Let g = 2/739 - -16993/1478. Find the common denominator of (-2)/5 - (-108)/(-80) and g.
4
Suppose 17 = 2*l - 3. Let s = l - 0. What is the lowest common multiple of 14 and s?
70
Let j = -8 - -8. Let q = -4 - j. Find the common denominator of -20/3 and q.
3
Let v(g) = 5*g**2 + g - 1 + 0*g**2 - 2*g**2 - g**2. Let d be v(1). Calculate the lowest common multiple of 10 and (-5 - 10)*d/(-3).
10
Let h(z) = z**2 + 5*z + 6. Let w be h(-6). Find the common denominator of 0 - 3 - 210/w and 37/10.
10
Suppose -5*a - 3*k + 9 = -4*k, -4*a = -5*k - 24. Let d be (2/939)/(a/