4)/413) and -37/12.
12
Let o = -97 - -73. Let a be ((-2)/(128/146))/2. Let c = a + -3119/576. Calculate the common denominator of c and o.
9
Let g = 9 - -22. Let z = 37 - g. What is the smallest common multiple of 12 and z?
12
Suppose -2545 - 986 = f. Let t = -2 + 12. What is the common denominator of 41/14 and (f/220)/((-36)/t)?
168
Let u(q) = 7*q**2 + 2*q + 1. Let v be u(-1). Suppose 2*i = i + v. Let k = -63 - -79. What is the smallest common multiple of k and i?
48
Let x(j) = -j**3 - 10*j**2 + 15*j + 10. Let v be x(-11). Let z = v - -37. Calculate the least common multiple of 5 and z.
15
Let d(g) = 13*g - 6. Let o = -122 + 128. What is the lowest common multiple of o and d(2)?
60
Suppose 1340 + 2047 = 5*l + 3*m, -5*l = -2*m - 3367. Calculate the smallest common multiple of 30 and l.
1350
Let z = 8959/5 + -1784. Let b = -317/42 - -47/7. What is the common denominator of z and b?
30
Let p = 571/63 - 65/7. Suppose -2*b + 222 = 5*h + 2*b, 0 = -3*b + 9. What is the common denominator of p and ((-48)/(-27))/((-4)/h)?
9
Let z be 1 - 1*9273/30. Let q = 19141/60 + z. Let a = 24059/8 + -3020. Calculate the common denominator of q and a.
24
What is the common denominator of -119/320 and 4/((-216)/(-18)) + 109/(-360)?
2880
Let q = 28 + -38. Let k = q - -91/9. What is the common denominator of 51/10 and k?
90
Let t(y) = y - 24. Let k be t(0). Let d be (-35)/10*k/14. Calculate the common denominator of 7/10 and -1 + -2 + 157/d.
30
Find the common denominator of -3 + 5 - (1266/360)/1 and 19/110.
660
Let u be -1 + 1 + (10 - -1). Let z = u + 0. Suppose l - z = 2*q, q - 5*q - 12 = 0. Calculate the smallest common multiple of l and 2.
10
Let j = -124455 - -8089891/65. Let n = -20/13 - j. Find the common denominator of n and 89/15.
15
Suppose 4*k + 15 = -17. What is the common denominator of k/6*2*(-3)/22 and 20/9?
99
Suppose -5*h + 4*z + 20 = 0, -3*h + 5*z = -0*z - 12. Let s be (-8)/20 + 26/(-10). Calculate the least common multiple of (s - -6)*(-8)/(-6) and h.
4
Let j(m) = -m**3 - 11*m**2 - m - 12. Let k be j(-11). Find the common denominator of 2 + 3/(-54)*-74 and (1/39)/(k/3).
117
Let t(q) = -q**3 - 11*q**2 - 14*q - 20. Let m = -63 + 53. What is the smallest common multiple of 194 and t(m)?
1940
Let u = 6025/28 - 869/4. What is the common denominator of u and -17/8?
56
Let z = 63695 - 9172003/144. Find the common denominator of 71/112 and z.
1008
Let b be ((-138)/4)/(111/(-18) - -6). Calculate the common denominator of b/(-60)*5/6 and ((-1)/(-2))/((-3)/(-10)).
24
Let x be ((-4)/(-6) + 0)/((-2)/(-9)). Suppose -65 = -x*r - 5*b, -b = -4*r - 5*b + 84. What is the lowest common multiple of r and 16?
80
Suppose -72*f + 43 = -69*f + 2*j, 0 = 5*f - 3*j - 78. Calculate the least common multiple of f and 306.
1530
Let p(j) be the first derivative of -5 - 1/4*j**4 + 5/3*j**3 - 2*j**2 + 4*j. Calculate the lowest common multiple of 4 and p(4).
4
Suppose 4*p - 28 + 16 = 0. Let x(n) = -n**2 + 5*n + 15. Calculate the smallest common multiple of p and x(5).
15
Let v(f) = f**2 - f + 1. Let p(n) = -n - 1. Let y be p(1). Let m = y + 9. Calculate the smallest common multiple of v(0) and m.
7
Let j(t) = -t**3 - 10*t**2 + 9*t - 8. Let y be j(-11). Let k be (-7)/y - 454/76. Let b = k + 8/57. Find the common denominator of b and 59/7.
21
Suppose -3*y + 12 = -0. Suppose 0 = -2*g + y*j + 60, -2*j + 70 = 3*g - 4*j. Calculate the least common multiple of 20 and g.
20
Let u = 55 + -50. Suppose -u*m - 5 = -110. Calculate the lowest common multiple of 21 and m.
21
Let j(i) = i**3 - 3*i**2 - i - 3. Let h be j(4). Let u be (-2)/((-9)/((-513)/(-6))). Let x = u - h. Calculate the least common multiple of x and 11.
110
Suppose 2*r = 6*r - 56. Let l(o) be the second derivative of o**3/2 - 21*o**2 - 21*o. Calculate the smallest common multiple of l(18) and r.
84
Let r = 65 - 1567/24. What is the common denominator of 83/128 and r?
384
Suppose -2*a + 4 = 2*m, 5*a - 7 = 2*a - 2*m. Suppose -a*r - r = -40. Suppose -8*p - 3 = -27. What is the least common multiple of p and r?
30
Let o be 5 + (-1 + 68)/1. Let x = -63 + o. Calculate the smallest common multiple of x and 30.
90
Let s be -2*3*1/4941. Let y = s - 107051/3294. Find the common denominator of y and -65/2.
2
Suppose -83 = -3*j + w, 2*j - 3*w + 10 = 63. Calculate the smallest common multiple of j and 12.
84
Calculate the common denominator of -41/48 and (9 - 145/12) + 6*-1.
48
Let r be 3 + -1*6/2. Suppose -44*x + 40*x + 40 = r. What is the smallest common multiple of x and 11?
110
Let o(f) = -f**2 + 12*f + 20. Let r be o(16). Find the common denominator of 51/(-4) + (-22)/r and 73/6.
12
Let n be 38/(-57)*743/(-2). Let v = -245 + n. What is the common denominator of (-70)/18 + (4 - 1) and v?
9
Suppose -12*h + 16*h = 80. What is the least common multiple of h and 36?
180
Find the common denominator of 7/60 and (1/(-60))/((-2002)/4914).
660
Let k = -1624 + 1156. What is the common denominator of (1 + k/40)*1/1 and 19/6?
30
Let x = 1057 - 579. Let z be 2/((-22)/(-5239)) - 3. Let f = z - x. Find the common denominator of -91/2 and f.
22
What is the common denominator of 61/8 and (-5)/(-880)*(-4)/6*-13?
264
Suppose -2*z + 20 + 56 = 4*d, 5*z + 2*d - 214 = 0. Calculate the lowest common multiple of z and 8.
88
Let y = 902708439047/66 - 13677865266. Let s = y - -464662. Let j = s + -4/33. Find the common denominator of -117/20 and j.
20
Let x(m) = m**2 + 17*m + 33. Let a be x(-14). Calculate the common denominator of 91/10 and (189/(-2))/(-1*a/(-3)).
10
Suppose -2*p - 3*g + 2*g - 186 = 0, 0 = 5*p - 3*g + 476. What is the common denominator of 42/5 and 8/12*p/4?
15
Suppose -3*w - 116 = -2*w. Let u = -103 - w. What is the least common multiple of 11 and u?
143
Find the common denominator of -87/10 and (8 + -6)*(-308)/16.
10
Let v be 2*2/(-6) - (-2602)/16. Let l = 162 - v. Calculate the common denominator of l and -7/16.
48
Let z = 53 - 49. Let f be 1 + 1 + 0 - 9. Let h(a) = -a - 3. Calculate the smallest common multiple of h(f) and z.
4
Let t = 3 - -11. Suppose 4*x + 20 = -0*x, -n - x = 3. Suppose n*s - 2*c - 3 = 25, 0 = -3*c + 6. What is the lowest common multiple of s and t?
112
Let m = 977 - 2965/3. Suppose -2*v = -6*v + 4. What is the common denominator of m and (v - -2)/6*-31?
6
Suppose 8*i = 4*i + 17196. Let u = 38729/9 - i. Calculate the common denominator of ((-42)/(-8) + -2)*-1 and u.
36
Let n = 42 + -39. Suppose 5*t + c - 44 - n = 0, 0 = -2*c - 6. Calculate the lowest common multiple of t and 18.
90
Suppose -2*q + 51 = 3*v, 162 = 5*q + 2*v - 6*v. What is the least common multiple of 35 and q?
210
Suppose -52 = -4*m + 56. Suppose 0 = 3*q - 6 - m. Calculate the smallest common multiple of 21 and q.
231
Let m = -2386/5 + 150683/315. Calculate the common denominator of 40/177 and m.
3717
Let g = 64 - 63. Let k = -1584 + 3235/2. Calculate the common denominator of -1*g + (-54 - -12) and k.
2
Let z = -3 - -12. Calculate the smallest common multiple of z and (-28)/(-8) + 77/22 - 3.
36
Let y(a) = -2*a + 25. Let z be y(11). Suppose -3*f - k = -34, 3*f + 2*f - 54 = -z*k. What is the least common multiple of f and 16?
48
Let g(a) be the first derivative of -3*a**2/2 - 13*a - 5. Suppose -d + 2*f = 3*d - 72, 2*f - 88 = -4*d. Calculate the least common multiple of g(-6) and d.
20
Let u(k) = 5*k - 20. Calculate the least common multiple of 32 and u(8).
160
Let r(n) = -n**2 + 5*n - 2. Let w be r(3). Suppose 0 = -5*h + 5*d - 13 + 38, -w*h = -2*d - 30. Calculate the lowest common multiple of h and 6.
30
Let c be ((-18)/465)/((-14)/(-30)). Let d = 6313/4991 - c. Calculate the common denominator of d and 71/2.
46
Suppose -2*n = -4*n + 88. Suppose 5*x + 4*p - 288 - 24 = 0, -3*x + 5*p = -202. Let g = x - n. What is the lowest common multiple of g and 4?
20
Let b = -1078 + 53951/50. Find the common denominator of b and 9/100.
100
Suppose -13*k + 197 = -271. Calculate the smallest common multiple of 288 and k.
288
Suppose -z + 4*b - 11 = 0, b + 22 = -2*z - 0*z. Let y(k) = -k**3 - 12*k**2 - 11*k + 8. Calculate the smallest common multiple of 22 and y(z).
88
Let o = -767 + 8449/11. Let m(i) = 43*i**3 + 5*i**2 + 2*i + 3. Let j be m(4). Let g = j + -11297/4. Find the common denominator of g and o.
44
Let p(l) = 8*l + 4 + 2*l + 6*l**2 - 2 - 5*l**2. What is the smalle