*l**d + 3/5*l**4 - 1/5 - 4/5*l**3 + 4/5*l.
(l - 1)**2*(l + 1)*(3*l - 1)/5
Let g(f) be the second derivative of 3/20*f**5 + 5*f - 1/30*f**6 + 1/6*f**3 - 1/4*f**4 + 0*f**2 + 0. Factor g(r).
-r*(r - 1)**3
Let g(d) = 0 - 1 + 0 - 1. Let o(c) = -c**3 - c**2 + c - 2. Let l(m) = 3*g(m) - 2*o(m). Suppose l(s) = 0. What is s?
-1, 1
Let v(k) = k**2 - k. Let h be v(2). Let -3*r**2 + r**3 - 3*r**3 - r**h = 0. Calculate r.
-2, 0
Let l be 18 + 2/(-3)*-3. Let o be 8/l*10/14. Factor o + 4/7*x + 2/7*x**2.
2*(x + 1)**2/7
Let p(b) be the second derivative of b**5/120 + b**4/48 + b**2 + b. Let g(u) be the first derivative of p(u). Determine h so that g(h) = 0.
-1, 0
Let w(x) be the first derivative of 3*x**2 - 3 + x + 4/5*x**5 + 3*x**4 + 13/3*x**3. Factor w(r).
(r + 1)**2*(2*r + 1)**2
Let w(v) = 14*v**2 - 8*v - 28. Let f(c) = -2*c**2 + c + 4. Let r(b) = 44*f(b) + 6*w(b). Factor r(q).
-4*(q - 1)*(q + 2)
Let h(s) be the first derivative of s**3 + 3/2*s**4 + 4 + 0*s + 3/5*s**5 + 0*s**2. Factor h(a).
3*a**2*(a + 1)**2
Let p(i) be the first derivative of i**3/18 - i**2/3 + 2*i/3 - 8. Factor p(c).
(c - 2)**2/6
Factor 0 - 1/9*b**3 - 2/3*b**2 + 0*b.
-b**2*(b + 6)/9
Let r(c) be the first derivative of c**6/30 - c**4/12 - 7*c - 1. Let x(g) be the first derivative of r(g). Factor x(h).
h**2*(h - 1)*(h + 1)
Let q(g) = -3*g**2 + 11*g + 6. Let l be q(4). Suppose 1/3*c + 1/3*c**l - 1/3*c**3 - 1/3 = 0. Calculate c.
-1, 1
Let g(r) be the first derivative of r**5/15 + r**4/3 + 5*r**3/9 + r**2/3 - 5. Suppose g(b) = 0. What is b?
-2, -1, 0
Suppose -5*k + 20 = 4*l, -2*k - l = -3*k + 4. Determine y so that 7/3*y + 3*y**2 + 1/3*y**k + 2/3 + 5/3*y**3 = 0.
-2, -1
Let a be ((-2)/(-2))/((-11)/(-2)). Let t = -46 + 48. Let -2/11*l**t + 2/11 + 2/11*l - a*l**3 = 0. Calculate l.
-1, 1
Let b(s) = 2*s**3 - 8*s**2 + 5. Let w(x) = 3*x**3 - 9*x**2 + 6. Let n(g) = -6*b(g) + 5*w(g). Let n(a) = 0. Calculate a.
-1, 0
Factor 3 + 7/2*k + 4/3*k**2 + 1/6*k**3.
(k + 2)*(k + 3)**2/6
Let k(d) be the first derivative of -3 - 5/2*d**2 + d + 4/3*d**3. Factor k(y).
(y - 1)*(4*y - 1)
Let s(g) be the second derivative of -g**6/60 + g**5/10 - g**4/6 + g**2/2 + g. Let t(k) be the first derivative of s(k). Let t(w) = 0. What is w?
0, 1, 2
Factor 36/5*g + 162/5*g**2 + 2/5.
2*(9*g + 1)**2/5
Let o(w) = -w**3 + 10*w**2 - 6*w + 4. Let c be o(8). Let b be 52/c - 4/14. Suppose 1/3*p**2 - 1/3 + b*p**3 - 1/3*p = 0. Calculate p.
-1, 1
Suppose -2*x + 0 + 2 = 0. Let a be (x/(4/8))/4. Factor 1 + a*v**2 + 3/2*v.
(v + 1)*(v + 2)/2
Let c(b) be the first derivative of b**5/10 + b**4/6 - b**3/3 - b**2 - b - 3. Let z(t) be the first derivative of c(t). Suppose z(w) = 0. Calculate w.
-1, 1
Let f(w) = w**3 - w**2 + w + 1. Let i = 4 + -5. Let o(s) = -4*s**3 + 2*s**2 - 2*s - 2. Let b(r) = i*o(r) - 3*f(r). Factor b(j).
(j - 1)*(j + 1)**2
Let l be 132/(-8)*(-824)/9594. Let p = l - 4/123. Suppose p*b**4 - 4/13*b**2 + 0 + 14/13*b**3 + 0*b = 0. Calculate b.
-1, 0, 2/9
Let v(x) be the third derivative of -2*x**5/225 + 19*x**4/180 + x**3/9 + 17*x**2. Factor v(j).
-2*(j - 5)*(4*j + 1)/15
Let b be 10 + (1 - (5 + 0)). Let k(c) be the third derivative of 0*c**4 + 0*c**7 + 0*c**3 + 0*c + 0 - c**2 + 1/168*c**8 - 1/60*c**b + 0*c**5. Factor k(h).
2*h**3*(h - 1)*(h + 1)
Suppose 4*k - 16 = -4*s, -8 = -k - k - 4*s. Factor -3*g**5 + 3*g**2 - 3*g**k + 2*g**2 - 2*g**2 + 3*g**3.
-3*g**2*(g - 1)*(g + 1)**2
Let c(x) be the second derivative of -x**7/5040 - x**6/720 - x**5/240 + x**4/4 + 5*x. Let h(t) be the third derivative of c(t). Solve h(q) = 0 for q.
-1
Let c(m) = 5*m**4 + 4*m**3 - 2*m**2 - 4*m - 1. Let p(x) = 21*x**4 + 15*x**3 - 9*x**2 - 15*x - 3. Let l(d) = -9*c(d) + 2*p(d). Factor l(s).
-3*(s - 1)*(s + 1)**3
Let g(o) be the first derivative of 4/21*o**3 + 3 - 2/35*o**5 - 2/7*o + 0*o**4 + 0*o**2. Solve g(d) = 0 for d.
-1, 1
Suppose 0 = -4*a - 5 + 13. Factor -2*d - 2*d**5 - a*d + 3*d**4 - 18*d**3 + 7*d**4 + 14*d**2.
-2*d*(d - 2)*(d - 1)**3
Let y = 5 - 3. Factor 0*a - 4*a**y - a**3 + 0 + 5*a**2 + a - 1.
-(a - 1)**2*(a + 1)
Let d(c) be the second derivative of 0 + 1/20*c**6 - 3*c + 0*c**4 - 3/4*c**2 - 1/2*c**3 + 3/20*c**5. Solve d(f) = 0.
-1, 1
Let p = 187 - 182. Determine m so that -1/3*m**3 - 1/2*m**4 + 1/2*m + 1/6 - 1/6*m**p + 1/3*m**2 = 0.
-1, 1
Let l(j) = -j**2 - 1. Let s(n) = 4*n**2 + n + 4. Let c(z) = 14*l(z) + 4*s(z). Let r be c(-2). Factor -2*d - r*d**2 + 4*d**2 - d**3 + 2*d**2 - 4 + 3*d**3.
2*(d - 1)*(d + 1)*(d + 2)
Let o(t) be the first derivative of 0*t - 3 + 1/2*t**3 + 1/8*t**2 + 9/16*t**4. Factor o(w).
w*(3*w + 1)**2/4
Let p(o) be the first derivative of 4*o**6/9 + 2*o**5/3 - 11*o**4/6 - 14*o**3/9 + 7*o**2/3 + 4*o/3 + 47. Let p(n) = 0. Calculate n.
-2, -1, -1/4, 1
Let s(g) be the first derivative of 2*g**6 - 3 + 0*g + 2*g**2 - 4*g**4 + 2/5*g**5 - 2/3*g**3. What is f in s(f) = 0?
-1, -2/3, 0, 1/2, 1
Let w = 14 + -8. Factor 1 - 3*b**4 - 3*b**2 - 1 + 3*b + w*b**2 - 3*b**3.
-3*b*(b - 1)*(b + 1)**2
Let k(w) be the second derivative of -w**5/20 + w**4/12 + 2*w. Let k(i) = 0. What is i?
0, 1
Let x(n) be the second derivative of n**6/360 + n**5/60 - n**3/6 + 6*n. Let l(j) be the second derivative of x(j). Find a such that l(a) = 0.
-2, 0
Let b = 14 - 7. Factor 2*g - 10*g**2 - 3*g**3 + 3*g**4 + g + b*g**2.
3*g*(g - 1)**2*(g + 1)
Let v = -11 - -21. Suppose 2 - v = 4*d. Let h(k) = -k**3 + 2*k**2 + 2*k - 2. Let a(q) = q - 1. Let l(t) = d*a(t) + h(t). Suppose l(b) = 0. Calculate b.
0, 2
Suppose 2/3*h - 1/3*h**2 + 0 = 0. What is h?
0, 2
Let f(u) be the first derivative of 7 + 1/10*u**4 + 0*u**2 + 0*u**3 + 0*u + 2/25*u**5. Factor f(j).
2*j**3*(j + 1)/5
Suppose -1/4*m**2 + 1/4*m**3 - 1/4*m + 1/4*m**4 + 0 = 0. Calculate m.
-1, 0, 1
Suppose -202*b**3 - 199*b**3 - b**5 + 397*b**3 - 5*b**4 = 0. Calculate b.
-4, -1, 0
Let n(r) = -4*r**3 + 3*r**3 + 3 - 4*r**2 + 7*r - 2*r. Let i be n(-5). Factor 0 + 0*m - 1/6*m**5 + 0*m**2 - 1/6*m**i + 1/3*m**4.
-m**3*(m - 1)**2/6
Let m be 5/10 - (-9)/(-6). Let w be ((-8)/(-18))/(m/(-3)). Factor 11/3*j**4 + 8/3*j**3 + j**5 + 0*j - w*j**2 + 0.
j**2*(j + 2)**2*(3*j - 1)/3
Let a = 327 + -778. Let g = a + 2263/5. Factor 6/5*j**2 + g*j**3 - 4/5*j - 8/5*j**4 - 2/5.
-2*(j - 1)**2*(2*j + 1)**2/5
Suppose 0 = -3*s - 12. Let u = s - -9. Factor -k - u*k**2 + 2*k**2 + 2*k**2.
-k*(k + 1)
Let l(j) be the first derivative of -j**6/18 + j**5/3 - j**4/6 - 14*j**3/9 + j**2/2 + 3*j + 17. Suppose l(i) = 0. What is i?
-1, 1, 3
Let h be 2 - (-4)/((-4)/(-3)). Let o(s) be the third derivative of 1/24*s**h + 7/48*s**4 + 1/6*s**3 + 0 + 0*s + 2*s**2. Factor o(c).
(c + 1)*(5*c + 2)/2
Factor 12/7*o**3 - 12/7*o**2 + 0*o - 3/7*o**4 + 0.
-3*o**2*(o - 2)**2/7
Let x(y) be the first derivative of -y**8/5040 - y**7/2520 + y**6/1080 + y**5/360 - 7*y**3/3 - 3. Let u(w) be the third derivative of x(w). Solve u(a) = 0.
-1, 0, 1
Factor 2*h**2 + h - 8*h**2 + 5*h**2.
-h*(h - 1)
Suppose -4*k - 4*g + 4 = 0, 2*k - k + 4*g = -11. Solve -74*t**3 + 40*t**2 + 13*t**5 + 0*t + 25*t**4 - 8*t - 31*t**k + 35*t**4 = 0.
0, 2/3, 1
Let r(c) be the first derivative of 4/7*c - 1 + 2/21*c**3 - 3/7*c**2. Determine s so that r(s) = 0.
1, 2
Let a(n) be the second derivative of -n**9/45360 + n**7/7560 - 5*n**4/12 + 3*n. Let o(y) be the third derivative of a(y). Solve o(i) = 0.
-1, 0, 1
Let h(m) = 11*m**3 - m**2 + 3*m + 5. Let p(b) be the first derivative of -3*b**4/2 + b**3/3 - b**2 - 3*b - 2. Let n(i) = -3*h(i) - 5*p(i). Factor n(c).
-c*(c + 1)*(3*c - 1)
Let s(z) be the third derivative of -z**7/350 - z**6/50 - 3*z**5/100 - z**2 - 12. Factor s(j).
-3*j**2*(j + 1)*(j + 3)/5
Solve -5*b**2 - 20/3*b + 20/3*b**3 + 20/3 - 5/3*b**4 = 0.
-1, 1, 2
Let k(b) = -12*b**2 + 8*b + 12. Let c(n) = 8*n**2 - 5*n - 8. Let y(p) = 8*c(p) + 5*k(p). Let y(w) = 0. Calculate w.
-1, 1
Let t(r) = 77 - 78 + r**2 - r**5 + 0*r**2 + 3*r**3 - 2*r**3. Let l(i) = -4*i**5 + 5*i**3 + 3*i**2 - i - 3. Let w(k) = -2*l(k) + 6*t(k). Solve w(y) = 0.
-1, 0, 1
Let i(x) be the first derivative of 0*x + 1/5*x**2 + 2/15*x**3 - 7. Let i(t) = 0. Calculate t.
-1, 0
Let m(t) be the second derivative of 1/2*t**2 - 1/3*t**3 + 1/12*t**4 + 0 + 2*t. Find u such that m(u) = 0.
1
Let j(y) be the third derivative of y**5/100 + 3*y**4/20 + 9*y**3/10 + 5*y**2. Find r such that j(r) = 0.
-3
Let v(p) = -6*p**3 + 9*p**2 - 8*p + 5. Let h(w) = w**3 - w**2 + w - 1.