. Find the common denominator of (-150)/32 + (-8)/((-8)/3) and t.
112
Let p be 5/((-2)/((-36)/15)). Calculate the lowest common multiple of (3/3)/(-1)*-10 and p*(-2 + 6 - 3).
30
Calculate the common denominator of ((-57)/285)/((-4)/(-66)) and -56/155.
310
Suppose 0 = 3*n + 29*h - 24*h - 421, -5*h - 239 = -2*n. Calculate the least common multiple of n and 6.
132
Let p = -2861/10 + 287. What is the common denominator of p and 97/6?
30
What is the common denominator of (54/21)/1 + -9 and (2 - 3)/(14/94)?
7
Let u(n) = 10*n**2 + 13*n + 15. Suppose -3*l - 2*l - b + 35 = 0, 0 = 4*l + 2*b - 22. What is the smallest common multiple of u(-1) and l?
24
Let a be 22/4 + (-5)/(-10). Let t = 823359/162358 + 2/11597. Calculate the common denominator of 185/a*3/(-50) and t.
140
Let k(s) = -s**2 + 6*s - 4. Let y be k(5). Let p(f) = 7*f - 2. Calculate the least common multiple of p(y) and 11.
55
Let n = -75/11 + -259/33. Find the common denominator of n and -12.
3
Let s(n) = -n**3 + 6*n**2 + 9*n - 15. Let p be s(7). Let m be (14/(-147))/(p/309). Let i = m - 2231/77. Find the common denominator of 11/14 and i.
154
Let v = -267 - -312. Calculate the lowest common multiple of v and 5.
45
Let c(a) = -a**3 - 5*a**2 - 2*a - 7. Let f be c(-5). What is the common denominator of 39/4 and 6/99 + (-1)/f?
44
Let c(b) = 3*b + 4. Let y = 20 + -11. Suppose -3*t + n - 2*n = -y, -4*n + 16 = 2*t. What is the least common multiple of c(t) and 1?
10
Suppose -4*u + 2*u = -5*z + 23, -4*z + 4*u = -28. Let b = -2 + z. Calculate the common denominator of b + 15*14/(-16) and 15/11.
88
Suppose l = -2*y + y + 137, -4*y = 3*l - 408. Let p be -4*(l/8)/(-5). Let j = p - 10. What is the lowest common multiple of 22 and j?
44
Let u(b) = -b + 1. Let m be u(0). Calculate the common denominator of 149/12 and 4/m - (-157)/(-27).
108
Find the common denominator of 63/8 and (-20)/(-50)*1220/1824.
456
Suppose 2*b - l + 9 = 58, -97 = -4*b + 3*l. What is the smallest common multiple of b and 20?
100
Let f(s) = -4*s**2 - 2*s + 2. Let y be f(-2). Find the common denominator of 3/12*(-452)/y and ((-154)/(-33))/((-64)/66) - 1.
80
Let v be (3/(-2))/((-6)/8). Suppose 0 = 5*p - v*p - 48. What is the lowest common multiple of 22 and p?
176
Suppose 0 = -2*v - 4*s + 70, -3*s = -3*v - 25 + 166. Let b = v + -40. What is the lowest common multiple of 3 and b?
3
What is the least common multiple of 4/6*240/20 and 136/28 + 2/14?
40
Let j = -6009 + 2134. Let k = j + 61961/16. Let u = 12001/10 + -1199. What is the common denominator of u and k?
80
Suppose 2*r - 3*i - 52 = 0, -5*r + 3*i = -2*i - 120. What is the smallest common multiple of r and 158?
1580
Suppose n - 647 = -m, -4*n + 5*n - 641 = 5*m. Calculate the smallest common multiple of n and 18.
5814
Let h be 2/(-10) - (-902)/10. Suppose -14*r = -9*r - h. Calculate the smallest common multiple of 12 and r.
36
Let l = 152 - 92. Let o = 74 - l. Suppose 4*c = 4*h - 0*c - 4, 10 = 3*h + 4*c. Calculate the lowest common multiple of o and h.
14
What is the smallest common multiple of 125352/288 + (-1)/4 and 33?
4785
Find the common denominator of ((-11)/55)/((-6)/1455) and -11/81.
162
Suppose 3*x + 6*x - 153 = 0. Let i be (-4)/6 - (-1506)/18. Suppose 0 = 5*s + 4*w + i, x - 5 = 4*w. What is the common denominator of s and 5/3?
3
Suppose 106*a + 187 = 123*a. What is the lowest common multiple of a and 54?
594
Let o(r) = r**3 - 12*r**2 + 13*r - 2. Let l be o(10). Find the common denominator of -4 + -2*393/l and -31/18.
36
Let n be 5/(-134)*2*6. Let a = 5575/268 - n. Let g = -74 + 883/12. Find the common denominator of a and g.
12
Let x = 1039 + -1006. Suppose 6*m - 5*p - 125 = 2*m, 0 = -3*m - 2*p + 88. Calculate the lowest common multiple of m and x.
330
Let j(y) = y**3 + 9*y**2 + y + 279. What is the lowest common multiple of j(0) and 10?
2790
Let t(r) = 4*r - 4. Let a be t(5). Calculate the common denominator of 5 + -2 + (156/a)/(-1) and 3/13.
52
Let d = 27 - 26. Suppose -5*b = 10, -5 = -2*j - b - d. What is the smallest common multiple of 27 and (j/12)/((-1)/(-4))?
27
Suppose 0 = 3*b + 3*b - 246. Suppose -2*u - 2*h - b - 57 = 0, 2*u + 98 = -5*h. What is the common denominator of u and 2*(0 + 99/24)?
4
Let j(b) be the first derivative of b**3/3 + 3*b**2 - 9*b + 23. What is the smallest common multiple of j(3) and 18?
18
Suppose -23 + 20 = 3*v, z - 2*v - 233 = 0. Calculate the smallest common multiple of 567 and z.
6237
Let z(k) = k**3 - 25*k**2 - 52*k + 2. Calculate the least common multiple of z(27) and 28.
56
Suppose -g = j + 212, 4*j + 457 + 409 = 2*g. Let w = j + 843/4. Let z = -6/1475 - -98861/8850. Find the common denominator of w and z.
12
Let s(t) = 2*t**2 + 5*t + 3. Let n be s(4). What is the common denominator of 61/104 and 187/n*5/(-16)?
208
Let o = -58 - 114. Let u = -523/3 - o. Find the common denominator of u and 62/3.
3
Let k(u) = -4*u**2 - 9*u - 28. Let j(f) = 7*f**2 + 19*f + 57. Let i(p) = 3*j(p) + 5*k(p). Calculate the smallest common multiple of i(-11) and 14.
140
Let n = 1489703/45 + -33103. Find the common denominator of 20/27 and n.
135
Let g = -52769/6 - -8771. Suppose -4*w = -4*p - 24, 0*p = 2*p + 3*w - 8. Find the common denominator of g and ((-9)/(-12) + p)/((-28)/8).
42
Suppose -x + 38 = -5*r, r - 5*x = -x. Suppose 0*s - s - 2 = 0. Find the common denominator of 17/6 and ((-4)/r)/(s/106).
6
Suppose -4*n = -2*a, 0 = 19*a - 14*a + 3*n - 26. Calculate the smallest common multiple of 54 and a.
108
Let t be -1*(-6 + 4 - 2). Suppose v = 2*w - 9, 4*w + w - 42 = -t*v. Calculate the smallest common multiple of 8 and w.
24
Let o = -485 - -488. Let g(h) = -h**3 + 14*h**2 + 4*h - 20. Calculate the lowest common multiple of o and g(14).
36
Suppose -4*c = 4*b - 9*c - 410, 218 = 2*b + 4*c. Calculate the least common multiple of b and 42.
210
Suppose 3*s - s = 5*w + 16, 5*s = 4*w + 40. Let l(n) = n**2 - 8*n + 4. Let b be l(s). Suppose -x + b*x = 24. What is the lowest common multiple of 20 and x?
40
Let w = 15711/1946 - 40/139. Let r = -32 - -55. Calculate the common denominator of w and r.
14
Let g be (-6)/(-9891) + (2 - -1) + -3. Let k = 56065/26376 - g. Calculate the common denominator of 99/10 and k.
40
Let n(g) = g**3 - 7*g**2 + 10*g. What is the lowest common multiple of n(6) and 20?
120
Let u = 1107/406 + -9/58. Let t(f) = -f**3 + 3*f**2 + f - 2. Let w be t(3). Find the common denominator of u and 91/(-4)*(w - 0).
28
Let t(i) = 45*i + 501. Suppose 3*j + 3*h = 34 + 11, 4*j + h - 57 = 0. Calculate the least common multiple of t(-11) and j.
42
Let l be 1 - ((-20313)/(-2620) + 4). Let j = -2/655 - l. Calculate the common denominator of 148/10*(-2)/(-8) and j.
20
Suppose 4*q + 4*g - 12 = 0, 5*q + g - 6 = 17. Suppose 4*b + b - 75 = 0. What is the least common multiple of b and q?
15
Let f be (-16)/(-4)*(3 + (-15)/6). What is the common denominator of 1 - 2*69/(-28) and (-24)/6 - 223*f/(-152)?
532
Let o be 439/7 + 20/(-28) + 1. Suppose 0 = -o*m + 61*m + 192. Calculate the smallest common multiple of m and 6.
96
Suppose -2*f = -10, 0 = -11*o + 12*o - 4*f - 1088. Calculate the lowest common multiple of o and 8.
2216
Let l(b) = b**2 - 8*b + 18. Let i be l(4). What is the common denominator of (75 - 1)*(6/(-117))/i and 10/11?
429
Suppose 0 = -9*r + 13*r - 16. Suppose -65 = 5*f + 4*b, -4*f = b + 2*b + 51. Calculate the smallest common multiple of r and ((-3)/(f/(-3)))/(-1).
4
Let r be 7/(-7) + 43 + -2. Suppose -v - 3*b = -15, v - 2*b = -0*b + r. What is the lowest common multiple of v and 3?
30
Calculate the lowest common multiple of 2 and 89/(-801) - 64/(-9).
14
Find the common denominator of 16/(-72) - (-4 + (-278)/(-81)) and -20/33.
891
Let s(j) = -2*j**3 - 4*j**2 - 15*j + 6. What is the least common multiple of 99 and s(-5)?
693
Calculate the least common multiple of 112 and 6/(-69) - (-15468)/138.
112
Suppose 2*s + 0*g = -g + 60, -2*s + g = -56. Let w = -21 + s. Calculate the smallest common multiple of w and (72/20)/(6/20).
24
Suppose -2*f + 6 = -2*a, 2*a - a - 33 = -5*f. Calculate the smallest common multiple of f and 8/3*(-13 + 16).
24
Let o = -2147 - -29999/14. Find the common denominator of 2/(-16) - 190/(-48) and o.
42
Let c be (-947)/(-3) + (-21)/(-63). Suppose -5*t = -2*d - 6*t + c, -2*d + 308 = 3*t. What is the lowest common multiple of 10 and d?
1