 g(a).
-2*a*(a + 1)**3
Let z(g) = -g**3 - 6*g**2 - g. Let r be z(-6). Let d(t) be the first derivative of -2*t**4 + 6*t**3 + r*t**2 + 0*t + 2*t + 4*t**4 + 1. Factor d(l).
2*(l + 1)**2*(4*l + 1)
Solve 722/5 + 76/5*b + 2/5*b**2 = 0.
-19
Factor 31*n + 0*n**4 + 49*n**2 - 5*n**4 - 19*n**2 + 9*n + 15.
-5*(n - 3)*(n + 1)**3
Let u = 9/2 + -23/6. Factor 2/9 + u*c + 4/9*c**2.
2*(c + 1)*(2*c + 1)/9
Let p be 1/5 - (-8)/10. Let r be 3*(p - 13/15). Let -r - 2/5*l**4 - 8/5*l - 8/5*l**3 - 12/5*l**2 = 0. Calculate l.
-1
Let f(d) be the first derivative of -d**7/420 + d**5/60 + 4*d**3/3 + 4. Let c(v) be the third derivative of f(v). Factor c(z).
-2*z*(z - 1)*(z + 1)
Let o be 28*(-4)/(-20) + -4. Factor -24/5*c - 2/5*c**4 - o - 26/5*c**2 - 12/5*c**3.
-2*(c + 1)**2*(c + 2)**2/5
Let y be (-6)/60 + 1 + 1/(-10). Find p, given that 3/5*p**2 + 0*p + 1/5*p**3 - y = 0.
-2, 1
Let s(b) be the third derivative of -1/12*b**4 + 2/3*b**3 - 1/10*b**5 + 6*b**2 + 0 + 0*b. Factor s(m).
-2*(m + 1)*(3*m - 2)
Let y be 39/9 - 2/6. Factor -20*w**2 - 21*w**3 + 7*w**4 + 25*w**5 - 2*w + 2*w**y - 2*w + 11*w**4.
w*(w - 1)*(w + 1)*(5*w + 2)**2
Let t(m) be the first derivative of 2*m**5/5 - 4*m**3/3 + 2*m + 5. Solve t(b) = 0 for b.
-1, 1
Let q(n) be the third derivative of 2*n**7/105 - n**6/30 - n**5/15 + n**4/6 + 6*n**2. Factor q(z).
4*z*(z - 1)**2*(z + 1)
Let s(g) be the third derivative of g**7/1155 + g**6/660 - 5*g**2. Factor s(r).
2*r**3*(r + 1)/11
Suppose -2*d + t = -t + 32, 3*d - 4*t + 46 = 0. Let p = -16 - d. Factor -1/2*c - 2*c**2 + p*c**4 + 0 + 1/2*c**3.
c*(c - 1)*(c + 1)*(4*c + 1)/2
Let o(i) be the first derivative of 5/9*i**2 + 4/9*i + 4 + 8/27*i**3 + 1/18*i**4. Solve o(a) = 0 for a.
-2, -1
Let p = 320 + -1891/6. Let v(y) be the second derivative of 49/24*y**7 + 0 + 147/40*y**6 + 2*y**3 - p*y**4 - 77/10*y**5 + 2*y**2 + 4*y. Solve v(t) = 0.
-2, -2/7, 2/7, 1
Let v(n) = 4*n**2 - 18*n - 8. Let o be v(5). Let -o*j**2 + 0 + 4/7*j = 0. What is j?
0, 2/7
Let h(t) be the third derivative of -t**7/210 + t**6/60 + t**5/20 - t**4/3 + 2*t**3/3 + 37*t**2. Solve h(q) = 0 for q.
-2, 1, 2
Suppose 2*h + 0*h - 2*h**3 + 24*h**3 - 24*h**2 = 0. Calculate h.
0, 1/11, 1
Suppose -3*j + 0*j + 2*j = 0. What is c in 1/2*c**4 + 0*c**2 - 1/2*c**3 + c**5 + j + 0*c = 0?
-1, 0, 1/2
Let f be (-4)/(-6) + (-84)/(-63). Determine b so that 0*b + 0 - 4/5*b**f + 2/5*b**3 + 2/5*b**4 = 0.
-2, 0, 1
Let h(q) be the third derivative of q**8/224 - q**7/60 + q**6/80 + q**5/40 - q**4/24 - 7*q**2. Solve h(j) = 0.
-2/3, 0, 1
Let d be (3 - -1)/(-2) + 2. Let u(w) be the third derivative of 0 + w**4 + 7/5*w**5 + 8/21*w**3 + 2*w**2 + 49/60*w**6 + d*w. Let u(t) = 0. Calculate t.
-2/7
Let x(y) be the first derivative of 1/20*y**4 + 0*y + 0*y**3 - 6 + 0*y**2. Factor x(w).
w**3/5
Let b = 7 - 3. Suppose 0*o - 8 = -b*o. Find h such that o*h + 0*h**2 - 3*h**2 + 2*h**2 = 0.
0, 2
Let r(q) be the second derivative of -q**6/70 + 9*q**5/35 - 27*q**4/14 + 54*q**3/7 - 243*q**2/14 + 4*q. Let r(p) = 0. What is p?
3
Let j(g) be the third derivative of -g**7/10 - 3*g**6/10 + g**5/5 + g**2. Determine i so that j(i) = 0.
-2, 0, 2/7
Let b be 24/2*(-2)/(-6). Let c be (1/3)/(2/b). Factor 2/3*w**3 - 2/3*w + c*w**2 - 2/3.
2*(w - 1)*(w + 1)**2/3
Let z(p) = -p - 1. Let b be z(-1). Suppose b = l + 2*l. Suppose 0*x**2 - 2/7*x**4 + 0*x**3 + 0*x + l = 0. What is x?
0
Let s(q) = 7*q**3 - q**2 - q + 7. Let y(a) = -36*a**3 + 4*a**2 + 4*a - 36. Let g(k) = -16*s(k) - 3*y(k). Let g(d) = 0. Calculate d.
-1, 1
Let j(p) = p**4 + p**3 - p. Let a(l) = -16*l**5 + 52*l**4 - 77*l**3 + 43*l**2 - 7*l + 1. Let y(v) = -a(v) - 4*j(v). Factor y(s).
(s - 1)**3*(4*s - 1)**2
Let f(t) be the third derivative of -t**6/420 + 4*t**5/105 - 5*t**4/21 + 16*t**3/21 - 45*t**2. Factor f(y).
-2*(y - 4)*(y - 2)**2/7
Let y(s) be the first derivative of s**7/105 + 4*s**6/75 + 3*s**5/25 + 2*s**4/15 + s**3/15 - 2*s - 1. Let c(v) be the first derivative of y(v). Factor c(u).
2*u*(u + 1)**4/5
Let q = -14 - -15. Let y(g) = -g**3 + g**2 - g - 1. Let w(d) = 4*d**3 - 6*d**2 + 6*d + 6. Let x(u) = q*w(u) + 6*y(u). Factor x(l).
-2*l**3
Let k(w) be the second derivative of w**5/130 + w**4/6 + 4*w + 1. Suppose k(u) = 0. What is u?
-13, 0
Let c(q) = -q**4 - q**2 - 1. Let r(g) = 2*g**5 - 4*g**4 + 4*g**2 + 4. Let s(p) = 4*c(p) + r(p). Suppose s(b) = 0. What is b?
0, 4
Let v(n) = 2*n**2 + 12*n + 3. Let s be v(-6). Suppose -18/13*t**2 - 54/13 - 54/13*t - 2/13*t**s = 0. What is t?
-3
Let o(m) be the second derivative of -m**5/90 - m**4/54 + m**3/27 + m**2/9 + 5*m. Solve o(g) = 0 for g.
-1, 1
Let h(s) = 4*s**5 - 2*s**3 - 2*s. Let j(k) = -3*k**5 - k**4 + k**3 + k**2 + 2*k. Let y(t) = 2*h(t) + 3*j(t). Let y(r) = 0. Calculate r.
-2, -1, 0, 1
Let f = -468 - -937/2. Find p, given that -1/2*p + 1 - f*p**2 = 0.
-2, 1
Let m(a) = -a**3 + a. Let j(c) = 8*c - 8. Let f(h) = j(h) + 4*m(h). Suppose f(w) = 0. Calculate w.
-2, 1
Let w(p) = p**2 - 6*p - 7. Let y be w(7). Suppose y - 2/3*j + 1/3*j**2 + 1/3*j**3 = 0. Calculate j.
-2, 0, 1
Factor -r**2 - 4*r - 2*r**2 - 12 + 14*r + 2*r.
-3*(r - 2)**2
Let f(m) be the third derivative of m**10/45360 - m**8/5040 + m**6/1080 - m**4/12 + 2*m**2. Let l(y) be the second derivative of f(y). Factor l(j).
2*j*(j - 1)**2*(j + 1)**2/3
Let p = -27 - -556/21. Let h = 6/7 + p. Factor h*s**2 + 0 + 0*s.
s**2/3
Let m(b) be the second derivative of b**8/2240 + b**7/360 + b**6/360 - b**4/3 - 2*b. Let i(z) be the third derivative of m(z). Factor i(s).
s*(s + 2)*(3*s + 1)
Let s = -10 - -16. Let f(c) be the second derivative of 0 + 1/10*c**5 - 1/6*c**7 - c - 1/6*c**s + 0*c**2 + 0*c**3 + 0*c**4. Factor f(n).
-n**3*(n + 1)*(7*n - 2)
Factor 2/5 + 4/5*m**3 - 2/5*m**5 - 2/5*m - 4/5*m**2 + 2/5*m**4.
-2*(m - 1)**3*(m + 1)**2/5
Find g, given that -6*g**4 + 5*g**2 - 27 - 6*g**4 - 8*g**3 + 13*g**2 + 13*g**4 = 0.
-1, 3
Let o be ((-9)/(-3) - -1) + -2. Factor o*b**4 - 2*b**3 + 2*b**4 + 3*b**3 - 3*b**3 - 2*b**5.
-2*b**3*(b - 1)**2
Let z(g) = g**2 + 25*g + 24. Let r be z(-24). Determine x so that -4*x**2 + 2*x**3 + r + 7/3*x**4 - 8/3*x - x**5 = 0.
-1, -2/3, 0, 2
Let g be (-3)/(-6) + (-17)/2. Let r be g/(-10)*15/3. Factor -u**r - 4*u**3 - u**2 - u**4 + u**3.
-u**2*(u + 1)*(2*u + 1)
Let j be 30/20*(-16)/(-6). Determine f so that -3*f**2 - 5*f + 12 - 12 + 5*f**3 + 3*f**j - 4*f**5 + 4*f = 0.
-1, -1/4, 0, 1
Let k(w) = -9*w**3 - 5*w**2 - 8*w - 8. Let x(r) = 3*r**3 + 2*r**2 + 3*r + 3. Let b(u) = -3*k(u) - 8*x(u). Factor b(a).
a**2*(3*a - 1)
Let m(q) be the first derivative of -q**6/540 + q**5/135 + q**4/108 - 2*q**3/27 - q**2/2 + 2. Let z(g) be the second derivative of m(g). Factor z(b).
-2*(b - 2)*(b - 1)*(b + 1)/9
Let f(w) be the third derivative of w**6/24 - w**5/4 + 10*w**3/3 + 5*w**2. Find k such that f(k) = 0.
-1, 2
Let x(m) be the second derivative of -m**4/20 - 3*m**3/10 - 3*m. Factor x(h).
-3*h*(h + 3)/5
Suppose -6/5*i**3 - 2/5*i**4 + 0*i**2 + 0 + 0*i = 0. Calculate i.
-3, 0
Let k(h) be the first derivative of -h**3/9 + 5*h**2/6 - 4*h/3 - 9. Factor k(g).
-(g - 4)*(g - 1)/3
Find n, given that -8*n**2 + 2*n - 3*n**2 + n - 5*n = 0.
-2/11, 0
Let b(p) be the third derivative of p**6/120 + p**5/180 - 5*p**2. Factor b(g).
g**2*(3*g + 1)/3
Let h(g) be the third derivative of -g**7/315 + g**6/144 - g**5/360 + 2*g**2. Let h(b) = 0. What is b?
0, 1/4, 1
Let p(z) be the second derivative of z**9/5040 - z**7/840 - z**4/3 + z. Let b(d) be the third derivative of p(d). Factor b(l).
3*l**2*(l - 1)*(l + 1)
Let k = 12 + -19. Let d(n) = -2*n**2. Let f(i) = 4*i**2 - i. Let s(j) = k*d(j) - 4*f(j). Let s(w) = 0. Calculate w.
0, 2
Let l = -1/3 + 5/6. Let g(c) be the first derivative of -2*c + 1 - 2*c**3 + l*c**4 + 3*c**2. Suppose g(m) = 0. What is m?
1
Let x(g) be the third derivative of -g**6/480 + g**4/96 - 16*g**2. Factor x(y).
-y*(y - 1)*(y + 1)/4
Let c be (-10)/(-44)*((-27)/45 + 3). Determine j so that 4/11 + c*j**3 - 2/11*j**4 - 2/11*j**2 - 6/11*j = 0.
-1, 1, 2
Let w(f) be the second derivative of f**8/1176 - f**7/735 - f**6/140 + f**5/42 - f**4/42 + f**2/2 - 3*f. Let p(z) be the first derivative of w(z). Factor p(h).
2*h*(h - 1)**3*(h + 2)/7
Suppose -2 + 20 = -3*c. Let v be (4/c)/2 + 1. Let -10/3*f**3 + f - 3*f**2 + v = 0. What is f?
-1, -2/5, 1/2
Let p(k) = -2*k**2 + k + 4. Let t(l) be the first derivative of -2*l**3/3 + l**2/2 + 5*l +