6/40 - (-4)/(-10) and i.
4
Suppose -i = -2*i - 1. Find the common denominator of -34/9 and i + ((-54)/(-5))/(-1).
45
Let u(t) = t + 7. Let r be u(-8). What is the least common multiple of (-3 + 1)/((-2)/4) and 18/9 + 0/r?
4
Suppose 3*g + z - 7 = 0, -z = g - 0 + 1. Suppose -16 = -4*s + 2*s. Calculate the least common multiple of s and g.
8
Let i = 170161/20 + -8506. Let w = 299347/32190 + 2/3219. Calculate the common denominator of i and w.
20
Let k(y) = y + 4. Let f be k(-6). Calculate the common denominator of (3/(-18))/(2/74) and ((-53)/3 - f) + 2.
6
Suppose 4*j - 2*t - 36 = 2*t, -t + 11 = 4*j. Calculate the lowest common multiple of (4 - 1 - 0)/1 and j.
12
Find the common denominator of (-3985)/900 + (-4)/(-10) + 0 and -57/8.
72
Find the common denominator of 51/8 and 3/1 - (-456)/(-132).
88
Let i(x) = -5*x - 96. Calculate the smallest common multiple of i(-28) and 3.
132
Calculate the common denominator of 111/(-54) + 1 - -2 and 75/14.
126
Let n be (-2)/6 + (-212)/12. What is the common denominator of (-6)/n - 447/180 and 7/18?
180
Let k(b) = 9*b**2 + 1. Suppose -5 = -3*w - 2*w, 5*w = 2*c + 7. Suppose 13 = 3*t + 1. What is the lowest common multiple of k(c) and t?
20
Let q = 43/111 + 2287/3552. What is the common denominator of (-3)/((-25)/135 + 1) and q?
352
Suppose 0 = -h - 3*h + 48. Calculate the least common multiple of 7 and h.
84
Find the common denominator of (4/(-24))/((-2)/(-9)) and -49/12.
12
Suppose 20 = 3*b + 2*b. Suppose -5*r = -6 - b. Let s = -3 + 11. What is the smallest common multiple of s and r?
8
Let d = -12925/4 + 3249. Calculate the common denominator of (-10)/(-40) + 66/8 and d.
4
Let y(x) = -x**2 + 6*x - 1. Let z be y(5). What is the common denominator of (106/(-3))/(0 + -12) and (138/z)/(90/(-5))?
36
Suppose -3*z + 2*p - 3 = 0, 4*z + 0*p + 24 = -4*p. Find the common denominator of 61/4 and (-180)/(-24) + z*1.
4
Suppose -86 = -4*z + 34. What is the lowest common multiple of 12 and z?
60
Let o = -337356396405/22 - -15331624313. Let k = -2758291 - o. Let w = k - -949. Calculate the common denominator of w and -17/8.
88
Suppose -2*u + 4*o - 8 = 0, 4*u - o - 6 + 1 = 0. What is the lowest common multiple of 9 and u?
18
Let c(g) = 219*g**2 - 1. Let f be c(1). Calculate the common denominator of -65/12 and f/(-84) + (-24)/(-36).
84
Suppose -3*g - 26 = -4*i, 2*g - g + 22 = 4*i. Calculate the smallest common multiple of 8 and i.
40
Let t(n) = -n**2 - 12*n - 5. Let l = 55 + -33. Calculate the lowest common multiple of t(-9) and l.
22
Let y be (-2)/8 + 65/20. Suppose n + 1 = -y. What is the common denominator of -21/20 and (-138)/4*n/60?
20
Calculate the smallest common multiple of 55 and (1 - (-6)/(-3))/((-5)/75).
165
Let n = -56 - -104. Let i = -24 + n. Suppose 10 = -z + i. What is the smallest common multiple of 18 and z?
126
Suppose -1854 = -2*x + 5*x. Find the common denominator of ((-14)/(-84))/((-22)/x) and -89/6.
66
What is the common denominator of -83/22 and (1 - (1 - 83))/(-4)?
44
Calculate the common denominator of 6/(-2) + (-3563)/(-1050) and 75/4.
300
Let z = -3 + 14. Suppose f - z = 3. Suppose 46 = 5*k - 44. What is the smallest common multiple of k and f?
126
Let z be -27*(1 + 0) - -2. Let w(m) = -m**3 - 12*m**2 - 9*m + 13. Let u be w(-11). Let p = u - z. What is the smallest common multiple of p and 6?
48
Let x(n) = n**3 - 4*n**2 - 4*n - 3. Calculate the smallest common multiple of x(5) and 10.
10
Let r be 3*(3 + (-5884)/12). Let c = r + 2841/2. Calculate the common denominator of -15/4 and c.
4
Let c(d) = 6*d + 4. Let o be 6/(-4) + (-190)/(-4). Suppose n - 4*n = m - o, 18 = n - m. Calculate the lowest common multiple of n and c(3).
176
Calculate the common denominator of -1 + -2 - 15/20 and 19/22.
44
Let l(v) = -v**2 - 6*v - 5. Let c be l(-4). Suppose -5*n + 3*j = -13, -5*n = -2*n + c*j - 3. Calculate the lowest common multiple of 22 and n.
22
Let m be ((-4)/(-3))/(6/45). Let t = m + -7. What is the least common multiple of 10 and t?
30
Let z be ((-3706)/(-4))/((-36)/(-428)). Let u = z + -11019. Find the common denominator of u and -15/8.
72
Let k = -6013 + 72089/12. Find the common denominator of -11/40 and k.
120
Let c be ((-4)/(-3))/((-14)/21). What is the common denominator of -79/8 and c - (11/14 - 2)?
56
Suppose -4*b - 11 = -15*b. What is the least common multiple of 4 and b?
4
Let d(f) = f**2 + 3*f + 4. Calculate the smallest common multiple of d(-5) and 16.
112
Suppose 5*b = g + 15193, -4*g + 1400 = 3*b - 7725. Let v = b + -48603/16. What is the common denominator of v and -91/20?
80
Let l(k) = k**3 - 3*k**2 + 2*k - 3. Let r be l(3). Suppose 4*b - r*x = 233, b + x = 38 + 29. Find the common denominator of 69/8 and -1 - (0 + b/(-16)).
8
Let r be 1*-4*(0 - -1). Let x = -1997/11 + 21323/110. What is the common denominator of (39/r)/(11/2) and x?
110
Let l = 4/25 + 17/50. Calculate the common denominator of 2/20*(-1 - -2) and l.
10
Let d be 0*(0 + 1)/(-1). Suppose d = 3*b, 4*b = -3*s - 2*s + 50. Suppose j + j - 24 = 0. Calculate the lowest common multiple of s and j.
60
Let p(f) = f**2 - 8*f - 8. Let g be p(7). Let s = g - -21. What is the smallest common multiple of 9 and s?
18
Suppose -7 = 5*y + l, -5*y = -0*y + 5*l + 15. Suppose -20 = -5*o - 5*z - 0, -3*o + 12 = 4*z. Calculate the lowest common multiple of o and -1*2 - (y - 3).
4
What is the common denominator of 57/4 and (-2 - 52/(-24))*-16?
12
Let z be (27/6)/(2/422). Let t = z - 10393/11. What is the common denominator of (-6)/(-15) + (-94)/(-40) and t?
44
Calculate the common denominator of (-4 + 427/112)/(15/(-412)) and 61/40.
40
Let x be (-222834)/45*(-8)/4. Let g = x - 9908. Find the common denominator of g and 68/3.
15
Suppose 0 = f - 3*x + 3 + 12, -42 = 4*f - 3*x. What is the common denominator of -29/7 and (-49)/(-9) + (-2)/f?
21
Let f(j) be the third derivative of -j**5/30 - j**4/12 + 3*j**2. Calculate the common denominator of f(-4) and -37/3.
3
Suppose -4*g + 5*f = -58, -3*g - 3*f + 26 + 4 = 0. Let n = 20 - g. What is the lowest common multiple of n and 9?
72
Let y(u) = 2*u - 10. Let k = 5 + 4. Calculate the smallest common multiple of y(k) and 5.
40
Suppose -4*i = 5*y - 3 - 17, 2*y + 48 = 4*i. What is the smallest common multiple of 6 and i?
30
Let f(v) = -v + 2. Let j be f(0). What is the common denominator of j/7 - (-556)/(-280) and 137/18?
90
Let a(g) = 10*g**2 - 1. Let b be a(-1). Let l = b - 5. Calculate the smallest common multiple of (-8)/(12/3 + -6) and l.
4
Let m(o) = -o**2 - 10*o - 11. Let h be 2/4*-4 + -6. What is the smallest common multiple of 5 and m(h)?
5
Suppose 4 = 2*c - 4*n, 3*c + 0*n - 13 = -n. What is the least common multiple of 10 and c?
20
Let j(f) = -f**3 - 7*f**2 + 7*f + 2. Suppose 9*n - 90 = -0*n. Calculate the least common multiple of n and j(-8).
10
Let s = 6 + 9. Suppose 5*z = -s, -5*z = -0*p + 3*p - 21. What is the common denominator of 9/4 and (-286)/p - 4/4?
12
Let b be ((-3)/2)/(15/20). Let a = -283 - -163. Find the common denominator of 97/6 and (-1412)/a + b/(-5).
6
Suppose 7*k - 2*k + 5*y - 20 = 0, 5*k - 44 = y. What is the lowest common multiple of 58 and k?
232
Let j = -53 + 109. What is the least common multiple of j and 2?
56
Let i = -9233 + 2910. Let f = i - -63327/10. Find the common denominator of f and 91/8.
40
Let d = -4 + 12. What is the lowest common multiple of 6 - 2 - (-2 - -2) and d?
8
Suppose 0*d = 4*d - 8, 3*n = -2*d + 64. Let h be 3*-1 + 40 + 2. Suppose 2*a = 3*x - 26, 0 = x - 6*x - a + h. What is the smallest common multiple of n and x?
40
Suppose 2*m + 12 = m. Let w = -4 - m. Calculate the smallest common multiple of 9 and w.
72
Calculate the common denominator of 29/9 and ((26/(-8))/(-13))/(2/380).
18
Let s = -36 + 90. Let c = 36 - s. Find the common denominator of 0 + (-82)/c - 1 and -53/2.
18
Let h = 38046 + -494152/13. Let p = h - 11227/364. What is the common denominator of 97/18 and p?
252
Suppose 1223 = 2*s - 139. Find the common denominator of s/126 + (-8)/(-12) and -17/11.
154
Let k(f) be the second derivative of 2*f**4/3 - f**3/6 - f**2/2 + 2*f. Calculate the lowest common multiple of 18 and k(-1).
72
Calculate the common denominator of 247/180 - 14/63 and -125/12.
60
Let w = 1123 + -8921/8. Let k = 69 + -97. Find the common denominator of w and (-19)/(-2)*(-35)/k.
8
Let