actor j(g).
3*(6*g - 1)**2/5
Let w(p) be the second derivative of p**5/90 - p**3/27 + 3*p. Factor w(x).
2*x*(x - 1)*(x + 1)/9
Let v(i) be the second derivative of i**4/6 + 8*i**3/3 + 16*i**2 + 17*i. Factor v(r).
2*(r + 4)**2
Let z(h) be the third derivative of -1/280*h**6 - 5/56*h**4 + 0*h + 0 - 8*h**2 + 1/35*h**5 + 1/7*h**3. Factor z(k).
-3*(k - 2)*(k - 1)**2/7
Let n = 198 + -193. Find j, given that -16/11 - 8/11*j**4 + 20/11*j**2 - 2/11*j**n - 2/11*j**3 + 8/11*j = 0.
-2, 1
Let f(l) be the second derivative of 19/24*l**4 + 0 - l + 4/15*l**6 + 1/4*l**2 - 7/12*l**3 - 5/8*l**5 - 1/21*l**7. Factor f(v).
-(v - 1)**3*(2*v - 1)**2/2
Let g(u) be the first derivative of 1/21*u**3 + 0*u - 1/14*u**2 + 1/28*u**4 - 1 - 1/35*u**5. Determine i so that g(i) = 0.
-1, 0, 1
Let i(g) = -2*g**3 + 27*g**2 + g + 10. Let l(r) = r**3 - 13*r**2 - r - 5. Let z(p) = 6*i(p) + 13*l(p). Let u be z(8). Factor -1/2*w + 1 - w**u - 5/2*w**2.
-(w + 1)*(w + 2)*(2*w - 1)/2
Let o(j) be the second derivative of -2*j**2 - 1/42*j**7 + 3*j - 4/3*j**3 + 1/30*j**6 + 0 + 1/4*j**5 - 1/12*j**4. Suppose o(w) = 0. What is w?
-1, 2
Let v(k) be the first derivative of k**3/6 - k**2/4 - 8. Let v(h) = 0. Calculate h.
0, 1
Let k(v) = 7*v**4 - 3*v**3 - 6*v**2 + 4*v. Let d(a) = -6*a**4 + 3*a**3 + 6*a**2 - 3*a. Let z(f) = 4*d(f) + 3*k(f). Factor z(m).
-3*m**2*(m - 2)*(m + 1)
Let t(c) = 2*c**5 - 10*c**4 - 2*c**3 - 6*c**2 - 8*c. Let l(s) = 0*s**3 + 0*s**3 + s**2 + s + s**4. Let j(i) = -8*l(i) - t(i). Factor j(g).
-2*g**2*(g - 1)**2*(g + 1)
Let u(i) be the third derivative of -i**7/70 - i**6/30 + i**5/30 + i**4/6 + i**3/6 + 6*i**2. Factor u(o).
-(o - 1)*(o + 1)**2*(3*o + 1)
Let l(s) = -5*s**4 + 17*s**3 - 25*s**2 + 19*s - 4. Let f(o) = -o**4 + o**3 + o**2 - o + 1. Let h(b) = 2*f(b) - l(b). Let h(j) = 0. Calculate j.
1, 2
Suppose b - 3 = 0, -16 = -5*l - 2*b - 0. Factor 1/3*f**5 + 1/3*f**4 + 0*f - 2/3*f**3 + 0 + 0*f**l.
f**3*(f - 1)*(f + 2)/3
Let j(o) be the third derivative of -1/6*o**3 - 1/120*o**5 - o**2 + 1/16*o**4 + 0 + 0*o. Determine h so that j(h) = 0.
1, 2
Let x(i) be the third derivative of -i**2 + 0*i + 1/30*i**5 + 1/6*i**3 + 0*i**4 + 1/180*i**6 + 0. Let s(j) be the first derivative of x(j). Factor s(r).
2*r*(r + 2)
Suppose -1/2 + 0*l - 1/8*l**3 + 3/8*l**2 = 0. Calculate l.
-1, 2
Let w = 7765/13 + -597. Let 4/13 + w*u**4 - 8/13*u**2 - 6/13*u + 6/13*u**3 = 0. Calculate u.
-2, -1, 1/2, 1
Factor -9*m**2 - 243 + 81*m + 1/3*m**3.
(m - 9)**3/3
Suppose -2*y - 3*x = -y + 4, 0 = 3*y + x - 4. Let r be (-6)/((-2)/y) - 2. Factor -a**4 - a**r + a**4.
-a**4
Find m, given that 135/2*m**5 + 27/2*m**2 + 15/2*m**3 + 0 - 3*m - 171/2*m**4 = 0.
-2/5, 0, 1/3, 1
Let n(d) be the third derivative of 0*d**3 - 1/420*d**7 - 1/24*d**4 + 0 - 1/24*d**5 + 0*d + 5*d**2 - 1/60*d**6. Factor n(j).
-j*(j + 1)**2*(j + 2)/2
Suppose 1 = 3*n + 2*f, 3*n - 11 - 5 = -5*f. Let m be 2 - -3 - (-9)/n. Factor -3/4*l**m + 1/2*l**3 + 1/4*l + 0.
l*(l - 1)*(2*l - 1)/4
Let g(n) be the second derivative of -n**7/273 - n**6/65 - 3*n**5/130 - n**4/78 + 3*n. Factor g(f).
-2*f**2*(f + 1)**3/13
Let p be 1*4/6*3. Let -w**p - 2 - 1 + 3 = 0. Calculate w.
0
Let g(f) = f**2 + 3. Let p be g(0). Let s = -3 + p. Let 0 + 0*a + 2/9*a**4 + s*a**2 + 2/9*a**3 = 0. Calculate a.
-1, 0
Let b = 102 + -100. Solve 10/7*i + 2/7*i**3 - 8/7*i**b - 4/7 = 0 for i.
1, 2
Let o = 109 + -105. Suppose -o + 1/2*c**3 + 6*c - 3*c**2 = 0. Calculate c.
2
Let t be 11/5 - 3/15. Suppose a = -h - 1, -3*a + 5*h + 39 - 2 = 0. Factor 2*s**2 - s**t + s + a + s - 3*s**2.
-2*(s - 2)*(s + 1)
Let b(c) be the third derivative of c**7/140 - 9*c**6/80 + 29*c**5/40 - 39*c**4/16 + 9*c**3/2 - 3*c**2. Factor b(f).
3*(f - 3)**2*(f - 2)*(f - 1)/2
Suppose 0 = -5*g + 12*x - 9*x + 12, 4*g - 15 = -3*x. Solve 2/5*t**g - 3/5*t**4 + 1/5*t**5 + 0 + 0*t**2 + 0*t = 0 for t.
0, 1, 2
Factor 12*t - 25*t + 24*t + 10*t**2 + 2 - 8*t**3.
-(t - 2)*(2*t + 1)*(4*t + 1)
Let -3/5*c + 2/5*c**2 + 0 = 0. What is c?
0, 3/2
Let q(d) be the third derivative of -d**8/8400 - d**7/2100 - d**6/1800 + d**3/6 + 4*d**2. Let o(c) be the first derivative of q(c). Solve o(m) = 0 for m.
-1, 0
Let j(n) be the second derivative of 5*n**7/84 + n**6/3 + 5*n**5/8 + 5*n**4/12 + 25*n. Find w such that j(w) = 0.
-2, -1, 0
Let x = 41/55 + -6/11. Suppose 0 = -5*v - 8*m + 4*m, 0 = -5*m. Solve -2/5*d**2 - x*d**3 + 0 + v*d = 0.
-2, 0
Let n = -22 - -24. Suppose 0 = n*k - 6 - 0. Factor 5/4*u**4 + 0*u - 1 - 9/2*u**k + 17/4*u**2.
(u - 2)*(u - 1)**2*(5*u + 2)/4
Let c = 1/2 - 1/6. Let m(u) be the third derivative of 0*u + 4/3*u**3 - c*u**4 - 2*u**2 + 1/30*u**5 + 0. Factor m(w).
2*(w - 2)**2
Let d be 6/((6 + 2)/4). Factor 1/2 - 2*u**2 + 3/4*u - 9/2*u**4 - 11/2*u**d - 5/4*u**5.
-(u + 1)**4*(5*u - 2)/4
Suppose 2*h + 18 = -h. Let n be ((-3)/(-2))/(h/(-8)). Solve -1 + n*z - z - z**2 - 3*z = 0 for z.
-1
Let v = 2 - 6. Let y be 2/v*(-10)/15. Factor -1/3*c**3 + 0 - y*c - 2/3*c**2.
-c*(c + 1)**2/3
Let f = 464/1185 + 2/237. Determine h so that f*h + 0 - 2/5*h**2 = 0.
0, 1
Let i(w) = -35*w**2 - 42*w - 13. Let j(y) = 420*y**2 + 505*y + 155. Let m(v) = 35*i(v) + 3*j(v). Suppose m(b) = 0. Calculate b.
-1, -2/7
Factor -274*m + 140*m + m**2 + 134*m.
m**2
Suppose -w = -2*w - 2. Let i be (8/36)/(w/(-6)). Factor 2/3*j**2 + 0*j - i*j**3 + 0.
-2*j**2*(j - 1)/3
Let s(u) = u**3 + u**2. Let o(h) = -3*h**5 - 15*h**4 - 25*h**3 - 19*h**2 - 6*h. Let f(r) = o(r) - 2*s(r). Solve f(q) = 0 for q.
-2, -1, 0
Let d(c) be the third derivative of -c**7/42 - c**6/8 + 5*c**4/6 + 18*c**2. Factor d(s).
-5*s*(s - 1)*(s + 2)**2
Let p(t) be the second derivative of t**6/180 - t**5/40 + t**4/36 - 12*t. Factor p(n).
n**2*(n - 2)*(n - 1)/6
Let g(y) be the second derivative of 0*y**2 + 0*y**4 + 0*y**6 + 2*y + 0 - 1/15*y**3 + 1/25*y**5 - 1/105*y**7. Factor g(h).
-2*h*(h - 1)**2*(h + 1)**2/5
Let y(h) be the third derivative of 7*h**6/60 - h**5 + 3*h**4 - 8*h**3/3 - h**2. Factor y(m).
2*(m - 2)**2*(7*m - 2)
Let r(l) = -l**2 + l + 4. Let x be r(0). Suppose x*c + 0*c = 8. Let 0*f**2 + 3*f**2 - f**c + 2*f**3 = 0. What is f?
-1, 0
Let h(b) = 4 + 4*b**3 - 5*b**2 + 3*b**2 + 3*b**2 - b**3 + 2*b. Let p(a) = -2*a**3 - a - 3. Let f(v) = 3*h(v) + 4*p(v). Factor f(u).
u*(u + 1)*(u + 2)
Let f = -2/167 - -175/668. Determine c so that -f*c + 3*c**2 - 9/4*c**3 - 1/2 = 0.
-1/3, 2/3, 1
Let p(s) be the third derivative of s**7/70 - s**6/120 - s**5/20 + s**4/24 + 5*s**2. Find n such that p(n) = 0.
-1, 0, 1/3, 1
Let x(i) be the second derivative of i**5/4 - 5*i**4/12 - 5*i**3/6 + 5*i**2/2 - 7*i. Factor x(m).
5*(m - 1)**2*(m + 1)
Suppose -u = -6*u. Factor u*p - 1/2*p**2 - 1/4*p**3 + 0 + 1/4*p**4.
p**2*(p - 2)*(p + 1)/4
Let h = 1051 - 1051. Factor 1/3*u**5 + 1/3*u + h + 0*u**2 + 0*u**4 - 2/3*u**3.
u*(u - 1)**2*(u + 1)**2/3
Factor 9 + 13*p + 24*p**2 + 2*p - 18*p**3 - 3*p**4 - 30*p**2 + 3*p**5.
3*(p - 3)*(p - 1)*(p + 1)**3
Let r(o) be the second derivative of o**6/360 + o**5/90 + o**4/72 - o**2 - 3*o. Let g(m) be the first derivative of r(m). Let g(v) = 0. Calculate v.
-1, 0
Let t be ((-6)/8)/(2/8). Let l be 10/(-3) + 1 - t. Determine w so that l + 2/3*w**2 - 4/3*w = 0.
1
Let s(i) be the second derivative of i**5/20 + i**4/6 + i**3/6 - 77*i. Factor s(t).
t*(t + 1)**2
Suppose 20*m - 10 - 30 = 0. Let f = -9 + 15. Factor -2/3 + 23/3*s**m - f*s**3 - s.
-(s - 1)*(2*s - 1)*(9*s + 2)/3
Suppose -5*l + 1 - 11 = 0. Let f be l/(6/(-5)) - 1. Factor 2/3*x + f*x**2 - 2/3 - 2/3*x**3.
-2*(x - 1)**2*(x + 1)/3
Let o = 23 - 41. Let f be 4/o - (-40)/72. Let 0*n + 0*n**3 + f*n**4 + 0 - 1/3*n**2 = 0. What is n?
-1, 0, 1
Let c(f) be the first derivative of 2 - 1/6*f**2 - 4/9*f**3 - 4/15*f**5 - 1/2*f**4 + 0*f - 1/18*f**6. Factor c(k).
-k*(k + 1)**4/3
Let m be (-2)/2 - 195/(-143). Suppose 2/11*p**2 + 2/11*p - m = 0. What is p?
-2, 1
Let i(l) be the third derivative of -l**6/15 + l**5/5 - l**4/6 + 25*l**2. Solve i(j) = 0 for j.
0, 1/2, 1
Solve 0*s + 3/2 - 3/2*s**2 = 0.
-1, 1
Let k be (3 - 5)/(-2) + -1. Suppose 5*d - 4*d = k. Determine w so that 4/3*w**3 + d + 7/3*w**2 - 2/3*w = 0.
-2, 0, 1/4
Let b(j) be the second derivative of -2*j**6/15 - j**5/5 + 2*j**4 + 8*j**3/3 - 16*j**2 + 19*j. Let b(p) = 0. Calculate p.
-2, 1, 2
Let p(r) be the second derivative of r**7/189 + 4*r**6/135 + r**5/15 + 2*r**4/27 + r**3/27 - r. Factor p(z).
2*z*(z + 1)**4/9
Suppose 2/5*h**2