+ 8) - -2. Let a(s) be the second derivative of 0 + 1/3*s**c - s + 0*s**2 - 1/10*s**5 + 0*s**4. Factor a(x).
-2*x*(x - 1)*(x + 1)
Let z(j) = -6*j**4 + 6*j**3 - 2*j**2 + 2*j + 4. Let x(m) = 5*m**4 - 5*m**3 + m**2 - m - 3. Let t(i) = -4*x(i) - 3*z(i). Factor t(h).
-2*h*(h - 1)**2*(h + 1)
Let l = -950/3 + 318. Solve 2/3*q**2 + 2/3*q - l = 0.
-2, 1
Let m(n) be the third derivative of -n**5/180 + n**4/12 - n**3/2 - 10*n**2. Determine p, given that m(p) = 0.
3
Factor 6/7 - 1/7*x**2 + 5/7*x.
-(x - 6)*(x + 1)/7
Let p(j) be the third derivative of -j**5/78 + 37*j**4/156 - 14*j**3/39 + j**2. Factor p(h).
-2*(h - 7)*(5*h - 2)/13
Let x(r) = -r**3 - 5*r**2 + 6*r + 2. Let i be x(-6). Factor -1/2*t**5 - 1 + t**2 + i*t**3 - 3/2*t + 0*t**4.
-(t - 2)*(t - 1)*(t + 1)**3/2
Let j(x) be the third derivative of -1/240*x**5 + 1/96*x**4 + 0*x + 0 + 0*x**3 - 3*x**2. Let j(w) = 0. Calculate w.
0, 1
Let b be (6/(-20))/(1/(-2)). Let i = 296/115 - 27/23. Factor -b*m**2 + i*m - 2/5.
-(m - 2)*(3*m - 1)/5
Suppose -6 - 6 = -f. Suppose 0 = 4*r + g - 7 - f, -5*r = -3*g - 11. Let -5 + 6*o - 3 + 14*o**2 - 10*o**4 - 8*o**3 + r + 2*o**3 = 0. Calculate o.
-1, 2/5, 1
Factor 0 - 3*v - 3 + 0 - v**2 + 1.
-(v + 1)*(v + 2)
Suppose 5*q = 3*g + 16, 4 + 2 = -3*g. Suppose -q*b**3 - 3*b**4 + 9*b**2 + 12*b + 6*b**4 - 12 - 10*b**3 = 0. Calculate b.
-1, 1, 2
Let -47*i**3 - 2*i**2 - 4*i + 27*i**3 + 22*i**3 = 0. Calculate i.
-1, 0, 2
Let j be (2 + 55/(-20))*-4. Let h(z) be the second derivative of -1/6*z**4 - z**2 + 0 + 2/3*z**j - 3*z. Determine n so that h(n) = 0.
1
Let i(t) be the first derivative of 5*t**6 + 19*t**5 + 105*t**4/4 + 15*t**3 + 5*t**2/2 - 51. Suppose i(j) = 0. What is j?
-1, -1/6, 0
Suppose 5*x - 49 + 19 = 0. Let w(v) be the second derivative of v + 0 - 7/20*v**5 - 1/6*v**3 - 5/12*v**4 + 0*v**2 - 1/10*v**x. Factor w(q).
-q*(q + 1)**2*(3*q + 1)
Let y be ((-35)/21)/(2/(-6)). Suppose -4*t - y*b = -16, -2*b = -5*t + 3*b + 20. Let 0 + 2/5*k**2 + 1/5*k - 2/5*k**t - 1/5*k**5 + 0*k**3 = 0. What is k?
-1, 0, 1
Let m(u) be the first derivative of -u**6/14 - 9*u**5/35 - 9*u**4/28 - u**3/7 - 8. Find h such that m(h) = 0.
-1, 0
Let h = -19 + 31. Suppose -2*q + 3*n - h = -n, 4*n = -4*q + 24. Factor 7/3*o + 1/3*o**4 + 2/3 + 5/3*o**3 + 3*o**q.
(o + 1)**3*(o + 2)/3
Factor -41*j + 9 + 9*j - 12*j**2 + 3.
-4*(j + 3)*(3*j - 1)
Let x = -4 - -14. Suppose 2*o = -3*o + x. Factor 4*u**3 - 2*u**2 - o*u**3 + 0*u**2.
2*u**2*(u - 1)
Let r(q) be the first derivative of 0*q**2 + 0*q + 2 - 1/8*q**4 + 0*q**3. Suppose r(s) = 0. Calculate s.
0
Let t(j) be the third derivative of -j**5/60 - 2*j**4/3 - 32*j**3/3 + 18*j**2. Find v, given that t(v) = 0.
-8
Let q be -3 - (0 - (-66)/(-18)). Factor 0*k**2 - q*k**3 + 0*k + 1/3*k**5 + 0 + 1/3*k**4.
k**3*(k - 1)*(k + 2)/3
Let d(k) be the second derivative of k**7/420 + k**6/90 + k**5/60 + k**3/6 - 3*k. Let h(x) be the second derivative of d(x). Solve h(c) = 0 for c.
-1, 0
Let y = -2 - -2. Factor -3*n**2 - 2*n**3 + 4*n - n**2 + 3*n**3 + y*n.
n*(n - 2)**2
Let m(w) be the first derivative of w**8/336 - w**7/105 + w**5/30 - w**4/24 - w**2 + 2. Let h(f) be the second derivative of m(f). Factor h(l).
l*(l - 1)**3*(l + 1)
Let g be -3*(2/(-3))/1. Let 0*z + 2*z + z - g*z**4 - 6*z**2 + 6*z**3 - z = 0. What is z?
0, 1
Let u be 35/(-45)*24/(-84). Factor 0 + 4/9*l - 2/9*l**3 - u*l**2.
-2*l*(l - 1)*(l + 2)/9
Let s(d) = d**2 - 10*d + 19. Let r be s(10). Let b = 21 - r. Factor -2/9*z**3 - 4/9*z - 2/3*z**b + 0.
-2*z*(z + 1)*(z + 2)/9
Factor -1/4*u**3 - 1/2*u - 2 + 5/4*u**2.
-(u - 4)*(u - 2)*(u + 1)/4
Suppose 0 = -5*n + n + 2*b + 2, 3*n - b - 3 = 0. Factor n*h**4 - 3 + 4*h**3 + 3 + 0*h**3.
2*h**3*(h + 2)
Let m(a) = -a**3 - 8*a**2 - 8*a - 5. Let u be m(-7). Let g = 15 + -4. Factor 6 + 0*b**3 + 9*b**4 + 4*b - g*b**u - 2 - 6*b**3.
(b - 1)**2*(3*b + 2)**2
Let p(x) = -8*x**4 + 3*x**2. Let z(c) be the third derivative of -2*c**7/35 + c**5/15 + 3*c**2. Let q(u) = -8*p(u) + 5*z(u). Factor q(g).
4*g**2*(g - 1)*(g + 1)
Factor 0 + 2/3*i - 2/3*i**2.
-2*i*(i - 1)/3
Let a = 4 + -2. Let r be 0 + (-1)/(-1) - 6/9. Factor -1/3 - 1/3*y + r*y**a + 1/3*y**3.
(y - 1)*(y + 1)**2/3
Let r(p) be the first derivative of 2/21*p**3 + 1/7*p**2 + 1 + 0*p. Suppose r(g) = 0. What is g?
-1, 0
Let d(b) be the second derivative of b**5/120 + b**4/24 - 2*b**2 - 4*b. Let q(s) be the first derivative of d(s). Find z such that q(z) = 0.
-2, 0
Let w(n) = 3*n**3 - 2*n**2 + 3*n - 1. Let b be w(2). Let m be -3 + 90/b + -1. Let -2/7*x + 4/7 + 20/7*x**4 - 24/7*x**2 + m*x**3 = 0. What is x?
-1, -1/2, 2/5, 1
Suppose 0 = 4*r + 3*v - 5, -2*r + 4*r - 30 = 4*v. Let a(u) be the second derivative of 2*u + 5/2*u**3 - u**4 + 0 + 3/20*u**r - 3*u**2. Factor a(o).
3*(o - 2)*(o - 1)**2
Factor -69*n**3 + 6*n**4 - 4*n**4 - n**4 + 70*n**3.
n**3*(n + 1)
Suppose 10 = -192*d + 197*d. Determine n so that 1/5*n**d + 1/5*n - 2/5 = 0.
-2, 1
Let i(z) be the second derivative of -z**7/2520 + z**6/720 + z**4/12 - 2*z. Let x(w) be the third derivative of i(w). Let x(j) = 0. What is j?
0, 1
Suppose 4/3 + 15*b**2 - 25/3*b**3 - 8*b = 0. Calculate b.
2/5, 1
Let i(p) = p**2 + 4*p - 2. Let w be i(-5). Let h(y) be the second derivative of 2*y - 1/24*y**4 + 0*y**2 - 1/12*y**w + 0. Solve h(f) = 0.
-1, 0
Let y(o) = o**2 - 4*o - 7. Let p be y(6). Suppose -5 = -p*j + 5. Solve w**3 - 1 - 4*w**3 + w + w**j + 2*w**3 = 0 for w.
-1, 1
Let h(n) be the second derivative of -1/110*n**5 + 2/11*n**2 + 0*n**4 + 1/11*n**3 - 4*n + 0. Determine q, given that h(q) = 0.
-1, 2
Let d(s) = 9*s**3 + 50*s**2 + 38*s - 50. Let f(g) = -27*g**3 - 151*g**2 - 115*g + 151. Let z(t) = -7*d(t) - 2*f(t). Solve z(m) = 0 for m.
-4, -2, 2/3
Let a(l) be the second derivative of -l**8/6720 - l**7/2520 + 7*l**4/12 - 6*l. Let k(v) be the third derivative of a(v). Factor k(m).
-m**2*(m + 1)
Let p(z) be the second derivative of 1/12*z**3 + 0*z**4 + 1/120*z**6 + 0 - 1/40*z**5 + 4*z - 1/8*z**2. Solve p(d) = 0.
-1, 1
Let q = 31 + -27. Let -z**2 + 0 - 1/3*z**q - z**3 - 1/3*z = 0. What is z?
-1, 0
Suppose 0*i - 6 = -3*i. Factor 2*u**5 + i*u**4 - 10*u**2 + 7*u**2 + u**4 - 3*u**3 + u**5.
3*u**2*(u - 1)*(u + 1)**2
Let t = 92/255 - -2/51. Let h(a) be the first derivative of 2/15*a**3 + 0*a + 2 + t*a**2. Solve h(z) = 0.
-2, 0
Suppose -9/7*v**3 + 6/7*v**2 + 3/7*v**4 + 0 + 0*v = 0. What is v?
0, 1, 2
Let v be ((-472)/152 - -3) + (-67)/(-95). Let 12/5*l - 12/5*l**3 - v*l**2 + 3/5 = 0. Calculate l.
-1, -1/4, 1
Let b(s) = -5*s**2 + 9*s + 6. Let g(q) = 11*q**2 - 19*q - 13. Let i(p) = 9*b(p) + 4*g(p). Let x(a) = a. Let d(o) = i(o) - 4*x(o). Determine t so that d(t) = 0.
-1, 2
Let t = -11 + 7. Let l be (6/t)/((-9)/4). Find y such that -2*y**3 + 4/3*y + l*y**2 + 0 = 0.
-2/3, 0, 1
Let o(j) = j. Let t(w) = 2*w**2 + 10*w. Let b(p) = 20*o(p) - 2*t(p). Determine z, given that b(z) = 0.
0
Let z(h) = 3*h**4 + 18*h**3 - 66*h**2 - 18*h. Let a(o) = o**4 + 5*o**3 - 19*o**2 - 5*o. Let d(p) = -18*a(p) + 5*z(p). Factor d(m).
-3*m**2*(m - 2)*(m + 2)
Let m(l) be the first derivative of -5/4*l**4 + 7 - 1/6*l**6 - 4/5*l**5 - 2/3*l**3 + 0*l**2 + 0*l. Factor m(b).
-b**2*(b + 1)**2*(b + 2)
Let q(m) be the second derivative of -m**7/840 + 7*m**6/2160 + m**5/180 + m**4/3 - 3*m. Let a(j) be the third derivative of q(j). Solve a(f) = 0 for f.
-2/9, 1
Let b(v) be the third derivative of 2*v**7/105 - v**6/15 - v**5/5 + 4*v**4/3 - 8*v**3/3 + 21*v**2 - 1. Suppose b(h) = 0. What is h?
-2, 1, 2
Let u(o) be the first derivative of -o**5 - 5*o**4/2 + 20*o**3/3 + 5*o**2 - 15*o + 8. Solve u(f) = 0.
-3, -1, 1
Let j(y) be the second derivative of 2*y**6/15 - 2*y**5/5 - y**4/3 + 4*y**3/3 + 37*y. Let j(p) = 0. What is p?
-1, 0, 1, 2
Let w be 64/28 + -2 + (-99)/420. Let v(s) be the first derivative of 0*s**2 + w*s**4 - 1/15*s**3 + 3 + 0*s. Factor v(h).
h**2*(h - 1)/5
Factor 12/7*a**2 + 9/7*a + 3/7*a**3 + 0.
3*a*(a + 1)*(a + 3)/7
Suppose -4*x + 2*x + i + 2 = 0, -4*x + 5*i + 10 = 0. Suppose x + 1/3*u**2 + 2/3*u**3 + 1/3*u**4 + 0*u = 0. Calculate u.
-1, 0
Let i be (-6*(-1)/18)/((-1)/(-18)). Let l(d) be the first derivative of -3/8*d**4 + 0*d**2 - 2 + 1/6*d**3 - 1/12*d**i + 0*d + 3/10*d**5. Factor l(g).
-g**2*(g - 1)**3/2
Let m(o) be the third derivative of o**5/240 + o**4/32 + o**3/12 + 28*o**2. Solve m(n) = 0.
-2, -1
Let n = 83/51 - 5/17. Factor 2/3*o**2 + 0 + n*o.
2*o*(o + 