actor l(a).
a*(a - 1)*(a + 1)**3/6
Let l be 13/20 + 30/(-75). Let q(d) be the third derivative of 0*d - l*d**4 + 1/15*d**5 + 0 - 2/3*d**3 + 2*d**2. Determine b so that q(b) = 0.
-1/2, 2
Let s(m) be the second derivative of 25*m**4/48 + 5*m**3/6 + m**2/2 - 7*m. Factor s(n).
(5*n + 2)**2/4
Let n(a) be the third derivative of -a**7/945 + a**6/540 - 3*a**2. Let n(m) = 0. What is m?
0, 1
Let y(r) be the first derivative of -r**7/2520 - r**3/3 - 3. Let j(g) be the third derivative of y(g). Factor j(b).
-b**3/3
Suppose l - 3 = -1. Let i(h) be the second derivative of h + 1/36*h**4 + 0 - 1/18*h**3 - 1/90*h**6 + 1/60*h**5 + 0*h**l. Find r such that i(r) = 0.
-1, 0, 1
Let o be (2 + 1)/(-3 + 5). Factor -z**4 + 1/4*z + 1/4*z**5 - z**2 + o*z**3 + 0.
z*(z - 1)**4/4
Let c(g) be the third derivative of -g**9/6048 + g**8/1680 - g**7/1680 - g**3/6 + 2*g**2. Let n(f) be the first derivative of c(f). Factor n(d).
-d**3*(d - 1)**2/2
Let x(l) be the third derivative of 1/80*l**5 + 0*l + 0*l**3 - 2*l**2 + 0 - 1/32*l**4. Factor x(p).
3*p*(p - 1)/4
Find a such that -61*a**2 + 5*a + a + 59*a**2 = 0.
0, 3
Suppose 0 = -2*x - 19 + 3. Let z be (-6)/x - (-9)/12. Suppose z*s**4 - 3/2*s**2 - 3/2*s**3 + 3/2*s + 0 = 0. Calculate s.
-1, 0, 1
Let p be (-14)/(-21) - -4*1/(-6). Let a(r) be the first derivative of 0*r**3 + 1/5*r**2 + 1 + p*r - 1/10*r**4. Find j, given that a(j) = 0.
-1, 0, 1
Factor 8/5*f + 2/5*f**4 - 2/5*f**3 + 0 - 8/5*f**2.
2*f*(f - 2)*(f - 1)*(f + 2)/5
Factor -719*u - 4*u**2 - u**2 - 22 + 2 + 694*u.
-5*(u + 1)*(u + 4)
Let q(t) be the third derivative of 0 + 0*t**3 + 0*t - 1/12*t**4 - 1/60*t**5 - 2*t**2. Solve q(g) = 0.
-2, 0
Let q = 69/37 - -2477/259. Factor -q*r**2 + 46/7*r - 32/7*r**3 - 6/7.
-2*(r + 3)*(4*r - 1)**2/7
Let v = -4 - -9. Factor 4 - 4*g - 4*g**2 + 2*g**2 - 6*g**3 - 2*g**4 + v*g + 5*g.
-2*(g - 1)*(g + 1)**2*(g + 2)
Let w(h) = -21*h**2 - h + 11. Let k(b) = b**3 - 7*b**2 - 8*b - 11. Let y be k(8). Let s(x) = 4*x**2 - 2. Let g(q) = y*s(q) - 2*w(q). Factor g(t).
-2*t*(t - 1)
Let o be (-86)/(-4) + 5/10. Suppose -z = -5*a - 14, 3*z - a + 6*a - o = 0. What is t in 5*t + t + z*t**2 + 2 + 2*t**3 - 3*t**2 = 0?
-1
Suppose 0 = -3*u + 6, -3*d - 29*u + 31*u = -2. Factor -2*j**3 + 0 + 6/5*j**d + 4/5*j.
-2*j*(j - 1)*(5*j + 2)/5
Factor -19/6*r**2 + 7/6*r**3 + 2/3 + 4/3*r.
(r - 2)*(r - 1)*(7*r + 2)/6
Suppose -f = j - 5*f - 22, 0 = -5*j - 3*f - 5. Factor 1/3*b**j - 1/3*b + 0.
b*(b - 1)/3
Let y(w) be the second derivative of w**5/20 - w**3/2 + w**2 + 21*w. Determine r so that y(r) = 0.
-2, 1
Let r(v) be the third derivative of v**7/1680 + v**6/960 - v**5/160 - v**4/192 + v**3/24 + 24*v**2. Factor r(x).
(x - 1)**2*(x + 1)*(x + 2)/8
Solve 0*q**3 - 2/11*q**2 + 0 + 2/11*q**4 + 0*q = 0 for q.
-1, 0, 1
Let k be 19*(0 - (-3)/(-6)). Let g = -9 - k. Find t such that -t - g - 1/2*t**2 = 0.
-1
Let p(q) = 6*q**3 - q**2 + q + 9. Let h(x) = 5*x**3 - x**2 + 8. Let m(l) = -5*h(l) + 4*p(l). Determine t so that m(t) = 0.
-2, 1, 2
Let g(n) be the first derivative of -9*n**8/112 + 3*n**7/7 - 37*n**6/40 + n**5 - n**4/2 + 5*n**2/2 - 2. Let c(j) be the second derivative of g(j). Factor c(k).
-3*k*(k - 1)**2*(3*k - 2)**2
Suppose -3 = 4*a + 17, 2*v + 4*a - 34 = 0. Factor -3*x**4 + v*x**4 + 20*x**2 + 8*x - 64*x**3 + 12*x**4.
4*x*(x - 1)**2*(9*x + 2)
Suppose -1 = s - 15. Factor -25*b - 4 - s*b**3 - 28*b**2 + 5*b**2 + 9*b + b**4 - 4*b**4.
-(b + 1)**2*(b + 2)*(3*b + 2)
Factor -3/2 + 3*h - 3/2*h**2.
-3*(h - 1)**2/2
Let g(w) = -w**2 - 1. Let b(j) = 4*j**2 + 8*j - 11. Suppose 0 = 5*z - 4*z + 1. Let d(p) = z*b(p) - 5*g(p). Factor d(m).
(m - 4)**2
Let s(l) be the third derivative of 0*l + 1/108*l**4 - 1/270*l**5 - l**2 + 0*l**3 + 0. Factor s(f).
-2*f*(f - 1)/9
Let x(h) be the third derivative of h**9/4032 - h**8/6720 - h**7/1680 - 2*h**3/3 + h**2. Let a(n) be the first derivative of x(n). Factor a(d).
d**3*(d - 1)*(3*d + 2)/4
Let n = -58 - -524/9. Solve 0 - n*t**4 + 0*t + 4/9*t**2 + 2/9*t**3 = 0.
-1, 0, 2
Let x(w) be the second derivative of 0 + 4*w + 1/6*w**4 - 1/3*w**3 - 2*w**2. Suppose x(o) = 0. What is o?
-1, 2
Let h(m) = -m**5 - 3*m**4 + 2*m**3 + 2*m. Let i(z) = -z**5 - 6*z**4 + 5*z**3 + 5*z. Let x(b) = 5*h(b) - 2*i(b). Solve x(c) = 0 for c.
-1, 0
Let a be (-2)/8 + -1 + 0 + 2. Factor a*k**4 + 0*k + k**3 + 0 + 1/4*k**2.
k**2*(k + 1)*(3*k + 1)/4
Let u(l) be the second derivative of -l**7/560 + l**6/60 + 3*l**5/80 + l**4/12 - 3*l. Let h(a) be the third derivative of u(a). Let h(f) = 0. Calculate f.
-1/3, 3
Let n(t) = t**3 + 4*t**2 - 3*t. Let p be n(-5). Let g = -10 - p. Factor g + 2/5*o + 2/5*o**2.
2*o*(o + 1)/5
Let p = 628 + -936. Let t = 932/3 + p. Suppose 14/9*o**3 - t*o**2 + 4/9 + 2/3*o = 0. Calculate o.
-2/7, 1
Suppose 4*c = w + 20, 0 = -0*w + 4*w + 4*c + 80. Let z = -18 - w. What is f in 2/5 + 2*f + 8/5*f**z = 0?
-1, -1/4
Factor -4/5*r**2 + 2/5 + 4/5*r**3 - 2/5*r**5 - 2/5*r + 2/5*r**4.
-2*(r - 1)**3*(r + 1)**2/5
Let o(z) be the third derivative of -z**7/945 + z**6/135 - z**5/54 + z**4/54 + 3*z**2. Let o(f) = 0. Calculate f.
0, 1, 2
Let n = 142 - 139. Let t(x) be the second derivative of 0 + 3*x - 1/2*x**4 - 1/10*x**5 - x**n - x**2. Solve t(c) = 0 for c.
-1
Let l(b) be the second derivative of b**4/18 + b**3/9 + 2*b. Factor l(y).
2*y*(y + 1)/3
Let w be 2/((-12)/42 - (-53)/14). Factor -6/7*g**2 + 0 + w*g + 2/7*g**3.
2*g*(g - 2)*(g - 1)/7
Let d(x) = -x - 14. Let k be d(-7). Let p be ((-1)/7)/(2/k). Determine t so that 1/4*t**3 + p - 3/4*t + 0*t**2 = 0.
-2, 1
Solve 26*k**2 - 6*k + 5*k**3 - 9*k**3 - 5*k**3 + k**3 = 0.
0, 1/4, 3
Suppose s + 30 = 6*s. Factor 9 - 1 + 10*t**3 - t**3 - s*t**2 - t**3 - 2*t**4 - 8*t.
-2*(t - 2)**2*(t - 1)*(t + 1)
Let i be ((-4)/6 + 4/6)/(-2). Let f(c) be the first derivative of -4/5*c**5 - 1/3*c**6 + 0*c - 1/2*c**4 + 0*c**3 + 3 + i*c**2. Factor f(x).
-2*x**3*(x + 1)**2
Let r = -7 - -9. Factor 3 + a + 3*a - 3*a**r - 4*a.
-3*(a - 1)*(a + 1)
Let r(w) be the second derivative of -5*w**5/8 - 5*w**4/24 + 4*w**3/3 - w**2 - w. Factor r(t).
-(t + 1)*(5*t - 2)**2/2
Suppose 6*a + 4 = 4. Solve 0 + a*s - 4/3*s**3 - 2/3*s**4 - 2/3*s**2 = 0 for s.
-1, 0
Let i = 15 + -12. Suppose -2/5*b**i - 2/5*b**2 + 2/5 + 2/5*b = 0. What is b?
-1, 1
Let l(c) be the first derivative of 0*c + 0*c**3 + 1/30*c**5 + 1/2*c**2 - 1 - 1/12*c**4. Let i(y) be the second derivative of l(y). Find q such that i(q) = 0.
0, 1
Let q(j) = j + 7. Let t be q(-8). Let y = 5 - t. Let w(s) = s**3. Let r(n) = -8*n**3 + 2*n. Let g(d) = y*w(d) + r(d). Solve g(h) = 0 for h.
-1, 0, 1
Let t(l) = -3*l**2 - 5*l - 2. Let u(g) = 4*g**2 + 6*g + 2. Let o(v) = -5*t(v) - 4*u(v). Let o(a) = 0. What is a?
-1, 2
Let i(y) be the second derivative of -y**6/150 - y**5/100 + y**4/60 + y**3/30 - 14*y. Factor i(q).
-q*(q - 1)*(q + 1)**2/5
Let l(n) be the second derivative of n**6/90 + n**5/30 - n**4/36 - n**3/9 - 17*n. Suppose l(m) = 0. What is m?
-2, -1, 0, 1
Let c(i) be the first derivative of 2*i**5/5 - 21*i**4/10 + 16*i**3/5 - 4*i**2/5 - 16. Factor c(g).
2*g*(g - 2)**2*(5*g - 1)/5
Let y = -101883/71 - -1435. Let q = y - -136/213. Factor 2/3*n**5 + 4/3*n**2 + 2/3*n - 2/3 - q*n**4 - 4/3*n**3.
2*(n - 1)**3*(n + 1)**2/3
Let g(j) = 2*j + 12. Let n be g(-6). Let i(c) be the first derivative of 2/3*c + 1 - 2/9*c**3 + n*c**2. Suppose i(a) = 0. Calculate a.
-1, 1
Let x(a) = a**2 - 2*a + 1. Let s be x(3). Factor -18*d**4 + 32*d**3 - 4 - 54*d**2 + 0*d + 4*d**s + 14*d**3 + 26*d.
-2*(d - 1)**3*(7*d - 2)
Solve -5*w + 5*w**2 - 10*w**2 + 10 + 20 = 0 for w.
-3, 2
Let j(g) be the second derivative of -g**7/231 + g**6/55 + 2*g**5/55 + 7*g. Find d such that j(d) = 0.
-1, 0, 4
Let d(o) be the third derivative of o**7/1365 + o**6/260 - o**5/78 - o**4/52 + 4*o**3/39 - 38*o**2. Determine k, given that d(k) = 0.
-4, -1, 1
Suppose -9*h + 12 = -7*h. Suppose -11*b = -h*b - 10. Determine j so that -b*j**4 + 3/2*j**2 - 5/2*j**3 + 5/2*j + 1/2 = 0.
-1, -1/4, 1
Let y(z) = 3*z + 3. Let t(r) = -2*r - 4. Let k(m) = 4*t(m) + 3*y(m). Let d be k(9). Factor 1/3*o**3 - 1/3*o + 1/3 - 1/3*o**d.
(o - 1)**2*(o + 1)/3
Let b(a) be the second derivative of -2/5*a**6 - 1/3*a**4 + 0 - 6*a + 0*a**3 + 0*a**2 + 4/5*a**5. Factor b(u).
-4*u**2*(u - 1)*(3*u - 1)
Let m be 9 - (-2 - -1 - -3). Let b(v) = 9*v**3 + 13*v**2 + 11*v. Let k(d) = 4*d**3 + 6*d**2 + 5*d. Let y(h) = m*k(h) - 3*b(h). Factor y