cond derivative of c**3/3 + 9*c**2/2 + 6*c. Let v be w(-6). Calculate the common denominator of -81/40 and v - (1995/18)/(-7).
120
Suppose t = 3*t - 44. Let p(o) = -o**3 + 13*o**2 + 14*o - 3. Let d be p(14). What is the least common multiple of t and (-35)/(-28) + d/(-4)?
22
Let v = 1653/55 - 390/11. Calculate the common denominator of 19/251 and v.
1255
Suppose -v = 3*v + 4*r - 60, 2*r - 47 = -3*v. Calculate the lowest common multiple of 14 and v.
238
Suppose 0 = -0*n + 3*n, -4*w = 5*n - 48. Let g be (848/w)/(-4)*-3. Let d = g - 35. What is the lowest common multiple of d and 18?
18
Calculate the common denominator of ((-132)/(-440))/((-66)/(-505)) and -55/76.
836
Let h = 172 - 168. Suppose -4*x + 12 = 4*u - h, 5*x - 5*u - 20 = 0. What is the lowest common multiple of x and 12?
12
Let z(w) = w**3 - 11*w**2 + 4. Let r be z(11). What is the least common multiple of 18 and ((-8)/r)/2*-22?
198
Let f be 528/84 + (-2)/7. Calculate the common denominator of -55/8 and (-8)/f + (-3311)/(-726).
88
What is the lowest common multiple of -3*(-2)/3 + 14 and (-17 - (-605)/35)/((-1)/(-203))?
464
Let i = -3/7756 - -138643/11634. Calculate the common denominator of 49/276 and i.
276
Let h be (-4)/8*4/1. Calculate the common denominator of -23/44 and 3/(-60)*53/h.
440
Suppose 0 = -0*d - 9*d + 162. Calculate the least common multiple of 8 and d.
72
Suppose 0 = 4*r + m + 4423, 2*r = 3*m - 0*m - 2229. Let o = r - -11093/10. Let a = -16565/4 + 4120. What is the common denominator of a and o?
20
Let i be 30/(-25)*60/(-9). What is the lowest common multiple of 6/24 - (-110)/i and 8?
56
Suppose -7*o + 3*o = -5*j + 2, -3*o + 14 = 4*j. Suppose -4*z + 8 = -0*z. Suppose -o*f + 16 = z*f. Calculate the smallest common multiple of 5 and f.
20
Suppose 3*i - 1 - 2 = 0. Suppose -5*x + 4*x + i = 0. What is the least common multiple of x and (-3)/(38/(-16) - -2)?
8
Let h = -4108 - -102664/25. Let a = 1723/450 + h. Find the common denominator of 88/21 and a.
126
Suppose -4*l = 3*l - 392. Let k = l + -34. Calculate the least common multiple of k and 20.
220
Let t(a) = 26*a**2 - 11*a - 22. Calculate the least common multiple of t(-2) and 52.
104
Calculate the common denominator of ((-2)/(-108))/(12/8880*10) and -143/12.
108
Suppose 2 = -d + 2*d. Suppose 0 = d*o + o + 39. Let u = o - -27. What is the lowest common multiple of u and 14?
14
Let w(o) = -8*o - 37. What is the lowest common multiple of w(-5) and 11?
33
Suppose 74*f = -3*f + 2079. Calculate the lowest common multiple of 44 and f.
1188
Suppose 4*k - 23 - 12 = -3*r, 0 = -4*r + k + 34. Let d be (16/12 - 2)*9. Let c(l) = l**2 + 6*l + 9. Calculate the smallest common multiple of r and c(d).
9
Suppose -5*y + 120 - 15 = 0. Calculate the smallest common multiple of y and 18.
126
Suppose 53*n - 593 = 679. What is the smallest common multiple of n and 20?
120
Let p = -10 + 21. Suppose 20 = 5*b - b. Let s = b + p. Calculate the smallest common multiple of s and 4.
16
Let z(n) = 49*n + 181. Let t = 9 - 3. What is the lowest common multiple of z(-3) and t?
102
Let y = 151/69 + -44419/276. Let v = 808/5 + y. Find the common denominator of -3*(-6)/27 + (-92)/(-16) and v.
60
Let b = -33 - -32. Find the common denominator of b - ((-177)/(-30) - -1) and 89/4.
20
Let u(d) be the third derivative of d**6/120 + d**5/60 - d**4/2 - d**3/3 + 21*d**2. Calculate the lowest common multiple of u(4) and 24.
120
Let g be 198/(-132)*(16/6 - 0). Suppose -5*d = -504 - 1856. Calculate the common denominator of -50 and (-6)/g + d/48.
3
Let q(h) = -2*h - 32. Let s be q(-16). Suppose -5*p = 5, 0 = -2*o + 2*p - s*p + 30. Calculate the smallest common multiple of 10 and o.
70
Let w = 14/47 + -487/846. Calculate the common denominator of -37/15 and w.
90
What is the lowest common multiple of 2880 and 9/(-2)*(-508)/381?
2880
Let o(x) = -8*x - 20. Let g be o(-14). Suppose g + 580 = 8*y. Calculate the least common multiple of 6 and y.
84
Let p(o) = o**2 + 9*o + 17. Let c be p(-7). Suppose 5*w + c*j - 15 + 4 = 0, j = -4*w + 6. What is the least common multiple of 10 and w?
10
Suppose 12*b = 38 + 34. Calculate the smallest common multiple of b and 20.
60
Let f be (28 + 0)/(2/6). Suppose -2*y + 2*b - 41 = 3*b, -f = 4*y + 4*b. What is the lowest common multiple of (-1)/(-2) + (-150)/y and 22?
88
Let y = 9 - 21. What is the common denominator of (-6)/32*y/(-18) and -47/20?
40
Calculate the lowest common multiple of 10 and -185*((-6)/(-12))/(5/(-10)).
370
Suppose 6*q = -2*q + 128. Suppose 7*o - q = 12. What is the smallest common multiple of 2/4 + (-34)/(-4) and o?
36
Suppose -6*v + j = -v - 72, -2*j + 81 = 5*v. What is the smallest common multiple of 40 and v?
120
Let z be 3/4 + (7217/756 - 10). Let p be ((-2)/48)/((-9)/(-964)). Let q = z + p. Calculate the common denominator of q and -73/8.
24
Let u(m) = m**2 - 2*m - 2. Let t = -11 - -17. What is the smallest common multiple of (-648)/(-60)*10*3/18 and u(t)?
198
Let a = -43801/18460 - -21/923. Find the common denominator of a and 83/232.
1160
Suppose l + 1 = 5. Suppose -16 = 2*u - l. Find the common denominator of 79/4 and (1/u)/(3/(-136)).
36
Let a = -320 + 330. Let p(t) = 4*t**2 - t + 3*t + 2*t**2. Calculate the smallest common multiple of p(-2) and a.
20
Let p = 7177/6 - 1202. What is the common denominator of p and (-42)/(-9)*(-21)/(-30)?
30
Let t = 31/36 + 379/72. Let o = 1/1096 - -68497/3288. What is the common denominator of o and t?
24
Let g(y) = -25*y + 10. Let t(a) = 5*a - 2. Let i(p) = -2*g(p) - 11*t(p). Let o = -6 - -2. Find the common denominator of i(o) and -35/11.
11
Let y(p) = -2*p**3 - 4*p**2 + 5*p - 3. Let d be y(3). Let h = -62 - d. Calculate the least common multiple of 102 and h.
816
Let g be 158 - (4/4 + 1). Let s(f) = f**3 - 11*f**2 + 9. Let k be s(-10). What is the common denominator of -83/4 and k/g + (-2)/(-13)?
4
Let i(t) = -t**2 - 6*t + 2. Let v(q) = -2*q**2 - 13*q + 4. Let s(y) = -5*i(y) + 2*v(y). What is the smallest common multiple of s(-6) and 1?
10
Let i(r) = -r**2 + 13*r - 9. Suppose 0 = o + 3*m, -6 - 4 = -3*o - 4*m. Let j be i(o). Find the common denominator of -77/10 and (25/8)/(j/(-12)).
110
Suppose 6*k = k + 3*t + 14, 4*t + 16 = 4*k. Calculate the least common multiple of -3*k/(-4)*8 and 0 + -4 + (-12)/(-2).
6
Let m = -31 - -53. Suppose 21 - 1 = -2*b + 4*x, -2*x + 10 = b. What is the smallest common multiple of m and (-4 + b)/(-12) - (-213)/9?
264
Let l = 3211/200 + -217/25. Find the common denominator of l and (-5)/(-45) - 334/(-18).
24
Let p(s) = 7*s + 3. Let a(f) = -22*f**3 - f**2 - 2*f - 1. Let z be -2 - (2 + 0 + -3). What is the smallest common multiple of a(z) and p(1)?
110
Let g(y) = y**3 - 14*y**2 - 14*y - 13. Let j be g(15). Let r be (-7 - -6)/(j/1448). What is the common denominator of 29/7 and r/80 - 1/5?
28
Find the common denominator of 91/916 and 87/10*((-39)/(-6))/13.
4580
Let r = -4 - -14. Let y(d) = -d**2 + 3*d + 4. Let u be y(-2). Let m = r - u. Calculate the common denominator of 39 and m.
1
Suppose -25 = -z - 4. Suppose -o + 4*o = -3*d + 27, -o + 5*d = z. Let y = o - -5. Calculate the smallest common multiple of y and 9.
9
Let a = -537 - -571. Calculate the smallest common multiple of 85 and a.
170
Let g = 25/13 + -159/130. Let f be 0 - (-1)/(51756/1155860). Let z = -2/4313 - f. Find the common denominator of g and z.
30
Suppose 0*b + 4*b - 8 = 0. Suppose -114 = b*m + m. Find the common denominator of m and -23/7.
7
Calculate the common denominator of 26/237 and (303/8 + 0)*(-94)/(-141).
948
Let s = 92 - 74. Suppose 3 = -5*l + s. Calculate the lowest common multiple of 6 and l.
6
Let x(n) = 5*n + 13. Let m be x(-8). What is the common denominator of -13/8 and 9/m - 137/6?
24
Let r be 18718/(-8) + 0/(-1). Let m(p) = -463*p + 5. Let b be m(-5). Let i = b + r. Calculate the common denominator of 131/6 and i.
12
Calculate the common denominator of (-2 + 484/(-16))/((-252)/8) and 16/77.
462
Let y = -1533/220 - -113/20. What is the common denominator of 27/82 and y?
902
Let y(k) = k - 10. Suppose -8 = -g + 6. Calculate the least common multiple of y(g) and 6.
12
Suppose 7*x - 3*x = 312. Suppose x = 4*r + 18. Let s = r + 7. What is the smallest common multiple of 20 and s?
220
Suppose 4*b - 6*c = -c + 73, -b = c - 25. Suppose -295*o = -305*o + 1380. What is the le