et m(d) = -20*d**3 - 5*d**2 - 3*d. Let u be (10/(-4) - (-99)/22) + -3. Calculate the least common multiple of 15 and m(u).
90
Let m(w) = w + 13. Let y be m(-13). Suppose -5*d + 22 + 13 = 5*a, y = 4*d - 3*a + 7. Calculate the least common multiple of 16 and d.
16
Let y = 88520796658477/32288 - 2741600492. Let r = 3/4036 - y. What is the common denominator of r and 27/4?
32
Suppose 3520 = 2*k + 3*k. Find the common denominator of (-134)/(-4)*(-1)/(-5) and (-2)/(-4)*(k/24 - 2).
30
Let n(r) be the first derivative of r**3 + r**2/2 - 20*r - 55. What is the least common multiple of 4 and n(-5)?
100
Suppose -2*r + 209 + 249 = 0. Let l = r - 219. What is the lowest common multiple of l and (-1 - (-10)/6)*3?
10
Find the common denominator of -7/180 and (5/((-480)/(-112)))/((-6)/(-22)).
180
Let n = -38 + -31. Find the common denominator of 10/n + 1/4 and ((-110)/54)/(-5)*(-141)/(-94) + -4.
828
Calculate the common denominator of -71/12 and ((-1)/12)/((-176)/124 + 3/4).
996
Let c = -3824 + 3834. What is the smallest common multiple of 1197 and c?
11970
Calculate the common denominator of -69/250 and ((-4)/(-6))/(40/(-1392)*410).
10250
Let q(v) = v**3 + 27*v**2 + 7*v + 195. Let h be q(-27). Calculate the common denominator of (-10890)/(-2508) - (h + 0) and 107/70.
1330
Find the common denominator of 157/3726 and ((-1)/((-25)/(-2)))/(((-1728)/(-1170))/(-12)).
37260
Suppose -5*y + 0 = -4*x - 17, 4*x = 4*y - 16. Find the common denominator of 28/15 and (-10)/(-25)*5/(15/x).
15
Let f(v) = 200*v - 1520. Calculate the least common multiple of 20 and f(8).
80
Suppose -57*p + 2040 + 1916 = -3226. What is the least common multiple of 588 and p?
1764
Let v be 55/(-3) + 15/45. What is the common denominator of -93/8 and (780/(-1696))/(v/(-24))?
424
Suppose -2*h + 7 = -37. Let j = -5659/168 - -387/14. What is the common denominator of (42/(-8)*h)/(-6) and j?
24
Let n = -26059926400 + 211580542151635/8119. Let u = 817/23 + n. Let d = -29357/11296 - u. Find the common denominator of d and -75/14.
224
Let c(h) be the first derivative of h**4/2 + 2*h**3/3 - h**2/2 + 21. Let d be c(1). Calculate the smallest common multiple of 26 and (3 + -4)/((-29)/(-10) - d).
130
Suppose t = -2*t. Find the common denominator of (-4435)/(-210) + (-2)/7 and 14/(-8)*(t + (-3)/12).
48
Suppose 0 = 2*i + 3*i - 280. Suppose -534*m = -544*m + 400. Calculate the least common multiple of i and m.
280
Let d = 38299761 + -2138582054781/55838. Calculate the common denominator of -103/12 and d.
335028
Suppose -v + h = -61, -30*v + h = -32*v + 107. Suppose 12*q - 15*q + 210 = 0. Calculate the lowest common multiple of q and v.
280
Let o(j) = 2*j**3 - 16*j**2 - 13*j + 23. Let n be o(8). Let i = -74 - n. What is the lowest common multiple of i and 19?
133
Let f = -585 + 583. What is the lowest common multiple of 1370/20 + f - 3/(-2) and 10?
340
Let d(o) = -402*o - 1134. Calculate the smallest common multiple of 1848 and d(-7).
18480
Suppose -39*n + 316*n + 313*n - 194700 = 0. What is the lowest common multiple of 148 and n?
24420
Let t be (-258)/2 - (-3 - -7). Let x = 196 + t. What is the smallest common multiple of 12 and x?
252
Suppose 68*g - 69*g - 904 = -5*o, 4*o - g = 724. Calculate the lowest common multiple of o and 180.
180
Suppose 13*l = 30*l - 85. What is the common denominator of 17/60 and 176/(-6) + (-28)/(-14) + l?
60
Suppose 88 = 4*f + 3*m, -6*f + 4*f = -3*m - 62. Let y be (-10)/f - (-8582)/21530. Let t = y - 243259/21530. What is the common denominator of 31/10 and t?
10
Let x(j) = -11*j - 2*j**3 + 6*j**2 + 13*j + 0*j**2 - 2 + 13*j**3. Let p be x(-2). What is the common denominator of 27/26 and (-1)/((-9)/(-3) - p/(-22))?
26
Let k(s) = 10*s**2 + 100*s. Let i be k(-10). Suppose -3*d + 423 = -4*q, i*q = -2*d + 5*q + 275. What is the smallest common multiple of 2 and d?
290
Let y = -1033 - 641. Let c = 10087/6 + y. Calculate the common denominator of -31/43 and c.
258
Let s be (22 - 1)/(0 + 3) - 3. Suppose -s = -v + 1. Suppose -v = -5*f + 5*y, -f + 4*y + y = 7. What is the smallest common multiple of f and 6?
6
Let j = 382679/35845386 - 1/38174. Calculate the common denominator of -119/12 and j.
3756
Suppose 9226 + 8524 = 40*r - 15850. What is the least common multiple of 210 and r?
840
Let u be (-6)/(-3 - (-448 + -6)). Let d = u - -24823/1353. What is the common denominator of d and 33/124?
372
Let b = 847795 + -847739. Suppose 0 = 2*k + 3*k - 35. Calculate the least common multiple of k and b.
56
Let j = 1622661448429/310 + -5234404842. Let r = j - -65366/5. Find the common denominator of r and -38/3.
930
Let a = -10042724596 + 54893532884977/5466. Let z = a + -2/2733. Let g = 2/11365 + 965997/159110. Find the common denominator of z and g.
14
Let u(j) = j + 11. Let v be u(-8). Suppose v*d + 18 = 3*q, -3*q = -5*q + d + 9. Suppose -q*f = -26 - 4. Calculate the lowest common multiple of f and 12.
60
Find the common denominator of (11/4180*34)/(2/(-4)) and -113/40.
760
Let y(k) = 5*k - 40. Let u(z) be the second derivative of z**2/2 - 25*z. Let h(c) = 20*u(c) + y(c). Calculate the smallest common multiple of h(11) and 7.
35
Let o be (1101 - 1)*-9*8/(-96). What is the common denominator of -77/4 and 246/(-4)*(-50)/o?
44
Suppose 0 = z + 5*h - 40, -z = z - 5*h - 5. Let x = 8 - 6. Calculate the lowest common multiple of 48/(-15) - -3 - (-498)/z and x.
66
Let b be (-15)/40*(-14162778)/(-432). Let x = b + 12293. Calculate the common denominator of x and 39/20.
320
Let m = -373094/31 - -12037. Calculate the common denominator of -39/17 and m.
527
Let n = 36 + -20. Let i = 2 - n. Find the common denominator of (16/(-6))/(i/(-28)) and -67/15.
15
Let x = -4541 + 45501/10. Suppose -d - 15 = 2*y, -6*y = -y + 2*d + 36. Find the common denominator of x and (-45)/90*(-2)/(y/43).
30
What is the common denominator of 40/499 and 10*(-77)/(-495)*(-14)/(-4)?
4491
Suppose -1535 = -v + b, -3*v - 41*b + 4570 = -37*b. What is the least common multiple of v and 170?
1530
Find the common denominator of -38/3 and 2*(-186)/288*(-16)/(-28).
42
Suppose 21823205 + 53128885 = 3*d. Let l = -11492649163/460 + d. Let h = l - -11/92. Calculate the common denominator of 35/12 and h.
60
Let h = -7109/84 + 1264/15. What is the common denominator of 113/90 and h?
1260
Suppose 19*j - 322 = -6 + 83. Suppose 3*t = 3 + 12. Suppose -t*w - 5*k + 1 = -4, 5*w - 3*k - 45 = 0. Calculate the least common multiple of j and w.
42
Find the common denominator of -99/16 and (2/1011*(-3)/(-4))/((-4305)/(-7585)).
113232
Let f be 27/(-2) + (-2)/4. Let n(v) = -5*v + 11. Let r be n(4). Let i = r - f. What is the least common multiple of i and 5?
5
Let w = 24273973/2385 + -57499/530. Let k = w - 10072. What is the common denominator of -49/24 and k?
72
Let m = -22 - -28. Find the common denominator of 10/85*(-43)/(-2) and (m - (-4 - -9))/((-2)/14).
17
Suppose -5*p = -3*q + 727, -p + 463 = 2*q - 0*p. Suppose -79*w = -392 - 398. What is the smallest common multiple of w and q?
1170
Let x(n) = -55*n**2 + 5*n - 3. Let j be x(1). Let k = j + 57. What is the least common multiple of 4 and k?
4
Let s be (-15569)/(-18)*6/4620 - 4. Let m = -44/587 - -13418/225995. Let v = s - m. Calculate the common denominator of 93/20 and v.
180
Let a be ((-1 + 0)/(-2))/((-6)/504). Find the common denominator of 2/9 + (-64)/(-12) and a/10 - 3/(-6).
90
Let o(a) = -2*a**2 + 3*a + 1483. Calculate the smallest common multiple of o(27) and 42.
2226
Let z(h) = -h**3 + 68*h**2 + 217*h + 54. Let k(v) = -v**2 + 4*v + 1. Calculate the smallest common multiple of k(3) and z(71).
676
Let j = 11 + -14. Calculate the common denominator of 244/(-72) - 1/(j/1) and 14/42*(-14)/(-4).
18
Suppose 2*n - 2*a + 84 - 172 = 0, -5*n + 8*a + 226 = 0. Calculate the lowest common multiple of 1120 and n.
3360
Suppose -4*x + 76 = 2*x - 8. Calculate the smallest common multiple of 1134 and x.
1134
Let p = 92/9143 + -832565/54858. Let x = 41 - 29. Find the common denominator of p and 1744/x*2/16.
6
Let k = 14/561 + 61/5049. Let h be (47/12)/(18/76). Let y = k - h. Find the common denominator of y and 143/6.
6
Suppose 2*u = -x + 18, u + 96*x = 98*x + 4. What is the smallest common multiple of u and 8783?
70264
Let v(b) = -29*b - 58. Let u be v(-3). Suppose 9 = -4*w + u. What is the lowest common multiple 