531, 17819 = -t + 3*t + 5*g. Let p = t + -89187/10. Find the common denominator of 31/8 and p.
40
Let m = 239/2 - 129. Calculate the common denominator of -43/6 and m.
6
Let a = 351/2 - 159. Let r = 321 - 8347/26. Let p = -23/260 - r. Calculate the common denominator of a and p.
20
Let n be (-1)/((-124)/120 - -1). Suppose -r + y + 28 = 0, r - y - n = y. What is the least common multiple of 6 and r?
78
Suppose -3*r - 3 = -2*f + 10, 3*f - 3 = -r. Let s = r + 4. Suppose a + s = 11. Calculate the smallest common multiple of 3 and a.
30
Suppose -2*y + 5*y = -9. Let f = y - -7. Suppose l = f*l - 24. What is the lowest common multiple of l and 12?
24
Suppose -13176976 - 1323136 = 4*b. Let h be (b/(-215352))/(4/3). Let j = 2/8973 + h. What is the common denominator of j and -35/6?
24
Let s be (-81858)/9 + 2/6. Let y = s + 163759/18. What is the common denominator of y and 53/6?
18
Let v(q) = 29*q + 1. Let j be v(3). Suppose 0*k = -4*k + j. What is the lowest common multiple of 2 and k?
22
Let y = 29 - 32. Let s(w) be the first derivative of -w**4/4 - 2*w**3/3 + w**2/2 - 3*w - 1. Calculate the least common multiple of s(y) and 4.
12
Let p = -6422 + 11706. Let b = p + -116295/22. Find the common denominator of b and ((-2)/6)/((-8)/(-39)).
88
Let u(b) = -b**2 - 8*b + 22. Calculate the least common multiple of u(-10) and 64.
64
What is the lowest common multiple of (24/10)/(42/140) and 4?
8
Let w(f) = f**3 + 19*f**2 + 19*f + 25. Suppose -6*s + 5 = -s. What is the smallest common multiple of w(-18) and s?
7
Suppose -4*t - 5*o + 8 - 49 = 0, 0 = -4*o - 20. Let g(h) = h**3 + 5*h**2 + 3*h - 2. What is the smallest common multiple of g(t) and 18?
18
Let w = 63 - 41. Let o = -18 + 28. Calculate the lowest common multiple of 134/11 + o/(-55) and w.
132
Suppose 2*z = -k + z + 5, 2*k + 3*z - 14 = 0. Calculate the lowest common multiple of 9 and k.
9
Calculate the common denominator of 91/8 and ((-69)/(-6))/((-9)/(-12)).
24
What is the common denominator of 125/(-20)*(1 + (-146)/110) and 107/10?
110
Let p be 12/6 + 2 + -3. Let t(w) = 19*w**2 - 1. What is the lowest common multiple of t(p) and 10?
90
Calculate the common denominator of (-2)/4 - 279/162 and 67/3.
9
Suppose -f - 6 + 7 = 0. What is the lowest common multiple of f and 9?
9
Let q(v) = -45*v - 8. Let m(o) = 15*o + 3. Let w(f) = -11*m(f) - 4*q(f). Calculate the smallest common multiple of 14 and w(1).
14
Let f = 6 + -2. Suppose 17*s - 10*s - 56 = 0. What is the smallest common multiple of f and s?
8
Let k be ((-8)/(-10))/((-1)/5). Let a be k/(-10) - 54/(-15). Suppose a*h + h - 50 = 0. What is the least common multiple of h and 8?
40
What is the common denominator of 2 - 16/7 - (-817)/42 and -87/4?
12
Let k = 167675/86408 - 1/37032. What is the common denominator of k and 53/8?
168
Let q = 883/5 - 175. Find the common denominator of -17/55 and q.
55
Calculate the common denominator of (9/30)/(2/12) and 35/11.
55
Calculate the common denominator of (42/9)/((-64)/(-78)) + -3 and 39/16.
16
Let t = 12/5 - 261/40. Find the common denominator of t and -61/5.
40
What is the common denominator of 115/36 and (76 - -2)*6/(-40)?
180
Let b = 98 + -91. What is the common denominator of b and -18/11?
11
Let c(w) = 3*w**2 + 2*w + 3. What is the smallest common multiple of 4 and c(-1)?
4
Let o be 2 + 199291/17144 + -2. Let p = o - -1/2143. Let g = -527 + 3705/7. What is the common denominator of g and p?
56
Suppose 5*g - 8*g - 3 = 0. Let c = g - -6. Suppose 2*d = -c*x + 4, 8 = 4*d + 4*x - x. What is the least common multiple of 9 and d?
18
Suppose 0*p - 10 = -4*p + 2*x, -2*p + 5*x + 1 = 0. Suppose -p*z = 3*f - 0*z - 18, f - 10 = -5*z. What is the smallest common multiple of 6 and (3 + -1)*f + 1?
66
Let l(z) = -z**2 - 3*z. Let n be l(-4). What is the common denominator of (4/18)/(n/(-94)) and 7/4?
36
Let z = 9355 - 187159/20. Find the common denominator of z and -27/8.
40
Calculate the common denominator of -93/8 and (69/40)/((-12)/(-8)).
40
Calculate the common denominator of ((-146)/(-44))/(-1) + 0 and 71/22.
22
Let h = -1 - -3. Suppose 10*a - 94 = 5*a - y, -3*a - 5*y = -74. Calculate the least common multiple of a and h.
18
Let h = 466/9 - 152/3. What is the common denominator of -47/9 and h?
9
Suppose -r + 2 = 3*a, -13*a = -2*r - 10*a + 22. What is the lowest common multiple of 22 and r?
88
Let h be 20 - (0/1)/2. Suppose 3*d = d + h. Suppose 0 = j + 2*j - 3. Calculate the least common multiple of j and d.
10
What is the lowest common multiple of (9/(-3))/3 + 19 and 6/((-4)/((-16)/6))?
36
Suppose 3*z = -4*w + 128, 4*w = -5*z + 111 + 113. Suppose 2*o = -2*o + z. Calculate the smallest common multiple of 56/(-7)*(-10)/4 and o.
60
Let w(b) = b**2 + 9*b + 7. Let z be w(-7). Find the common denominator of -7/20 and (51/1)/(-1 + z).
40
What is the lowest common multiple of (-5)/(-2)*176/110 and 24?
24
Let d(h) = -h**3 + 1. Let l be d(-2). Let m = 1 + l. What is the least common multiple of 10 and m?
10
Let o(i) = i + 5. Let u be o(-5). Suppose -5*w + 0*w = u. What is the common denominator of w + 93/(-8) + 2 and 19/5?
40
Let t = -16 - -49. Calculate the lowest common multiple of t and 21.
231
Find the common denominator of -53/30 and (5 - -16)*(-6)/4.
30
Suppose 4*v - 35 = -5*n + 4*n, 44 = 4*v + 4*n. Calculate the least common multiple of 14 and v.
56
Let q = -13429/4620 - -93/140. What is the common denominator of q and -151/36?
396
Let t be 2/3*21/14. What is the common denominator of -20/7 and (1/1)/t - -5?
7
Let r be (-35)/252*3*-233. Let h = r - 217/3. Find the common denominator of h and 9/22.
44
Let a = 1063/11 - 98. Let d = -14 + 7. What is the common denominator of a and d?
11
Suppose -x + 3 = 1. Suppose -2*c - 3*c + 45 = 5*p, 0 = c - x*p - 6. Let v = -10 + 30. Calculate the lowest common multiple of c and v.
40
Let f(x) = x**2 + 6*x - 6. Let z be f(-8). Let r be 14/(-35) - 6/z. Let i = r - -3. Calculate the lowest common multiple of i and 9.
18
Let y = 99 + -199. Find the common denominator of 1 + -2 - (-385)/y and 51/4.
20
Suppose 104 = -0*p - 2*p - 3*a, -180 = 4*p - a. What is the lowest common multiple of p/(-14) - (-26)/(-91) and 7?
21
Let d = 0 + -8. Let f be ((-22)/(3 + -2))/1. Let r = d - f. Calculate the least common multiple of r and 2.
14
Find the common denominator of (-201)/(-20) - (-2)/10 and -25/2.
4
Suppose -50 = 23*p - 28*p. Let w = 1 + -2. What is the smallest common multiple of 10/4 - w/2 and p?
30
Let i be 39198/(-8)*(-2)/(-408). Let p = 454/17 + i. Let a = -818/5 + 13253/80. Calculate the common denominator of p and a.
16
Calculate the least common multiple of 10 and 1/(3/42) + 2.
80
Suppose 0 = -h + 3*c - 0*c + 12, 4*c = 5*h - 38. What is the least common multiple of h and 16?
48
Let l = 0 + -1. What is the common denominator of (3/(-24))/(l/(-3)) and -79/20?
40
What is the lowest common multiple of 13/2 + (-27)/(-18) and 26?
104
Let m(x) = 9307*x**3 + x**2 + x - 1. Let k be m(1). Let l = k + -93159/10. Calculate the common denominator of 43/22 and l.
110
Let q = 10 + -4. Let t = 20 - 13. Calculate the least common multiple of t and (-6)/(-4)*q/9.
7
Let z = -1501448/45 - -33364. What is the common denominator of z and 12/25?
225
Let g = -16 - -25. Suppose -3*p = -6*p + 15. Suppose 44 = s + 2*s + p*o, s - 2*o = 0. Calculate the lowest common multiple of s and g.
72
Let c be -1 - ((-6244)/920)/7. Let z = 2424167/460 - 608367/115. Let v = z + c. Calculate the common denominator of 27/8 and v.
8
Let z = -979269/331430 - -2/15065. Calculate the common denominator of -39/4 and z.
44
Let o be (-21)/(-2)*(-16)/(-786). Let g = o + 3051/1048. Find the common denominator of g and -53/10.
40
Suppose 2*x = -2*j - 58, 3*x = 4*j + 26 + 55. Calculate the common denominator of ((-177)/j)/(2/(-4)) and (66/(-15))/((-6)/10).
12
Let y = 28 - 8. What is the least common multiple of y and 56?
280
Suppose 0 = 4*o + 8, -6*h + 2*h = -2*o - 60. Calculate the least common multiple of h and 10.
70
Suppose 5*g + 15 = 5*f, 0*f = -4*f + g + 6. Let m = f + -8. Calculate the smallest common multiple of 4 and (-1)/(1/m) + 1.
8
Suppose -4*p = -8*p - 40. Let h(c) = -c**3 - 9*c**2 + 8*c - 8. Calculate the least common multiple of 4 and h(p).
12
Suppose -5*s + 12 = -28. Suppose 0 = -2*l + 12 + s. Calculate the smallest common mult