ond derivative of -5*p**4/24 - 7*p**3/12 - p**2/2 - 8*p. Factor q(z).
-(z + 1)*(5*z + 2)/2
Suppose 43 = -6*n + 73. Find w, given that -2*w**4 - 2/3*w**2 + 0 + 0*w + 2*w**3 + 2/3*w**n = 0.
0, 1
Let t = -1956 + 76288/39. Let m(u) be the second derivative of t*u**3 + 4/13*u**2 + 1/78*u**4 + 5*u + 0. Factor m(i).
2*(i + 2)**2/13
Factor 4/9*i - 2/3*i**4 + 0 + 16/9*i**3 - 14/9*i**2.
-2*i*(i - 1)**2*(3*i - 2)/9
Let p(o) be the first derivative of 4/55*o**5 - 4/33*o**3 + 1/11*o**2 + 0*o + 0*o**4 - 1/33*o**6 - 2. Find x such that p(x) = 0.
-1, 0, 1
Let i(y) be the third derivative of y**6/840 + y**5/70 + 5*y**4/168 - 13*y**2. Find s such that i(s) = 0.
-5, -1, 0
Suppose 8*w + w = 0. Let j(m) be the first derivative of w*m**3 - 1/14*m**4 + 1/7*m**2 - 3 + 0*m. Factor j(t).
-2*t*(t - 1)*(t + 1)/7
Let l(v) be the first derivative of 2*v**3/3 - 11*v**2/7 + 8*v/7 + 16. Factor l(h).
2*(h - 1)*(7*h - 4)/7
Let c be (0 + 3)*14/315. Let l(b) be the second derivative of c*b**6 - b + 0 - 1/10*b**5 + 0*b**2 - 1/24*b**3 - 7/48*b**4. Factor l(x).
x*(x - 1)*(4*x + 1)**2/4
Let j(u) be the first derivative of 0*u + 3 - 2/3*u**2 - 1/15*u**5 - 8/9*u**3 - 5/12*u**4. Factor j(z).
-z*(z + 1)*(z + 2)**2/3
Suppose -31 + 3 = 2*n. Let h be ((-28)/(-49))/((-4)/n). Factor 2/7*p**4 + 8/7 + 26/7*p**h - 24/7*p - 12/7*p**3.
2*(p - 2)**2*(p - 1)**2/7
Let v(h) be the third derivative of h**5/15 + 2*h**4/3 + 2*h**3 + 4*h**2. Factor v(r).
4*(r + 1)*(r + 3)
Factor -6*x**3 - 6*x**4 + 3*x**3 - 2*x**5 - x**5.
-3*x**3*(x + 1)**2
Factor 0*t**2 - 4*t**2 + 3*t - 3*t**3 + 3*t + 7*t**2.
-3*t*(t - 2)*(t + 1)
Let n be 204/18 - (0 - 0). Let l = n - 11. Factor -4*t - l*t**3 + 8/3 + 2*t**2.
-(t - 2)**3/3
Suppose -5*i + 14 + 6 = 0. Factor -4*r**2 + 16*r**2 + 14*r**3 - 98*r**3 + 147*r**i.
3*r**2*(7*r - 2)**2
Let m = -3/5 + 1. Let -4/5*s**4 + 4/5*s**2 + 0 - 2/5*s**3 + m*s = 0. Calculate s.
-1, -1/2, 0, 1
Suppose 0 = -5*c + 2 + 8. Factor -38*o**2 - 11*o**c + 0 - 6*o - 1 - 8*o.
-(7*o + 1)**2
Suppose 20 = 3*v - v. Factor 3 + 2*b - v*b - 11 - 2*b**2.
-2*(b + 2)**2
Let d(r) be the third derivative of -r**5/240 + r**4/16 - 3*r**3/8 + 3*r**2. Factor d(k).
-(k - 3)**2/4
Factor -2/3*o**2 + 2/3 - 2/3*o + 2/3*o**3.
2*(o - 1)**2*(o + 1)/3
Let r(z) = -162*z**2 - 67*z - 8. Let l(w) = 81*w**2 + 33*w + 4. Let q = 7 - 12. Let k(b) = q*l(b) - 3*r(b). Find t, given that k(t) = 0.
-2/9
Let y(q) = -2*q - 2. Let l(m) = -m**3 + 6*m**2 + 8*m - 9. Let a be l(7). Let i be y(a). Determine w so that -2/7*w + 0 + 2/7*w**i = 0.
0, 1
Let t(j) be the third derivative of -j**6/60 - j**5/20 - j**4/24 + 12*j**2. Let t(g) = 0. What is g?
-1, -1/2, 0
Let g(z) be the second derivative of 5*z**5/4 + 35*z**4/4 + 95*z**3/6 + 15*z**2/2 - 17*z. What is q in g(q) = 0?
-3, -1, -1/5
Let a(m) = 2*m**2 - 7*m + 18*m - 12*m + 4. Let l(y) = 3*y**2 - 2*y + 6. Let v(i) = 7*a(i) - 5*l(i). Factor v(s).
-(s - 2)*(s - 1)
Let t(v) = v**2 + 28*v + 189. Let q be t(-11). Factor -14/9*z + 10/9*z**q + 4/9.
2*(z - 1)*(5*z - 2)/9
Factor -38*d + 14*d + 484 + 4*d**2 + 19*d - 83*d.
4*(d - 11)**2
Let u(z) be the third derivative of z**5/240 - z**4/24 + z**3/8 - z**2. Factor u(x).
(x - 3)*(x - 1)/4
Let n(s) = 2*s**2 - 9*s - 6. Let x(y) = -3*y**2 + 13*y + 9. Let c(u) = 7*n(u) + 5*x(u). Factor c(i).
-(i - 3)*(i + 1)
Let i(t) be the first derivative of t**5/100 - t**4/20 + t**3/10 - t**2/10 + t - 2. Let f(v) be the first derivative of i(v). Factor f(a).
(a - 1)**3/5
Let a(z) be the second derivative of -z**7/3360 - z**6/1440 - z**3/3 + z. Let u(g) be the second derivative of a(g). Factor u(x).
-x**2*(x + 1)/4
Let m(j) be the third derivative of -j**8/1680 - j**7/630 - j**4/8 - 7*j**2. Let a(g) be the second derivative of m(g). Factor a(x).
-4*x**2*(x + 1)
Let v(t) be the second derivative of -t**5/100 + t**4/15 - 2*t**3/15 + 4*t. Factor v(p).
-p*(p - 2)**2/5
Let t(p) be the second derivative of -p**5/30 - p**4/6 - p**3/3 + p**2/2 - 2*p. Let g(i) be the first derivative of t(i). Factor g(k).
-2*(k + 1)**2
Let q be (5 - (-142)/(-30))*(-5)/(-2). Factor 2/3*c**4 + 2*c**3 - 2*c - 4/3 + q*c**2.
2*(c - 1)*(c + 1)**2*(c + 2)/3
Determine f so that -3/7*f**3 + 3/7*f**2 - 3/7 + 3/7*f = 0.
-1, 1
Let z(u) be the second derivative of u**8/252 - 2*u**7/315 - u**6/45 + 9*u**2/2 + 4*u. Let y(m) be the first derivative of z(m). Find j such that y(j) = 0.
-1, 0, 2
Let g = 56 + -111/2. Factor 0 - 1/4*v**3 + 1/4*v**2 + g*v.
-v*(v - 2)*(v + 1)/4
Let s = 35/16 - -43/112. Solve s*q**3 - 10/7*q - 12/7*q**2 + 4/7 = 0 for q.
-2/3, 1/3, 1
Suppose 0 = d - 0*s - s + 30, 0 = 4*d + 5*s + 156. Let o be 8/(-20) - d/10. Suppose -9*r + 2*r**2 - 3*r**3 + 0*r - o - 11*r**2 = 0. What is r?
-1
Find i such that 9/4*i + 3/4 + 0*i**2 - 3*i**3 = 0.
-1/2, 1
Suppose -j + 0*j = 0. Factor j*y + 22*y**2 + 3*y + 3*y - 2*y.
2*y*(11*y + 2)
Factor 10/3*l**2 - 2/3*l**3 - 2/3*l**4 + 0 - 2*l.
-2*l*(l - 1)**2*(l + 3)/3
Let m be 66/14 + 6/21. Suppose m*z - 5 = 5. Suppose 1 - 2*j**2 - z*j**3 - 1 + 0 = 0. What is j?
-1, 0
Let i = -271/7 + 39. Factor -6/7*u**2 + 0*u + 8/7 - i*u**3.
-2*(u - 1)*(u + 2)**2/7
Factor 3/8*p**2 + 0 - 1/2*p + 1/8*p**3.
p*(p - 1)*(p + 4)/8
Let o(q) be the second derivative of -q**5/4 - q**4/6 + 5*q**3/6 + q**2 - 6*q. Solve o(m) = 0 for m.
-1, -2/5, 1
Let s be 3*(-1 + 16/6). Suppose 4*q - 13 = -1. Factor -3*f**4 + 1 - 3*f + f**s + f**4 + 2*f**q + 2*f**2 - f**4.
(f - 1)**4*(f + 1)
Suppose 2*r + 0 = -3*x - 7, -5*x - 33 = -2*r. Let n(c) be the second derivative of 0 + 1/3*c**3 + 1/18*c**r + 2/3*c**2 + c. What is f in n(f) = 0?
-2, -1
Let g(j) = -4*j**3 - 5*j**2 + 2*j + 3. Let u(o) = -o**3 - o**2 + o + 1. Let m(l) = -g(l) + 5*u(l). Factor m(a).
-(a - 2)*(a + 1)**2
Let i(y) = -6*y**5 + 14*y**4 + 2*y**3 - 14*y**2 - 2*y. Let f(a) = 7*a**5 - 15*a**4 - 3*a**3 + 13*a**2 + 3*a. Let h(v) = 2*f(v) + 3*i(v). Factor h(p).
-4*p**2*(p - 2)**2*(p + 1)
Let d(z) be the third derivative of z**7/1050 + z**6/300 - z**4/60 - z**3/30 + 3*z**2. Factor d(v).
(v - 1)*(v + 1)**3/5
Let u be (9/(-6))/((-9)/24). Factor -4*n**3 + 0*n + 1 + 4*n - 2*n**4 - 5*n**4 + 2*n**2 + u*n**4.
-(n - 1)*(n + 1)**2*(3*n + 1)
Let c = 5 - 5. Factor 7/2*r**3 + 3/2*r**5 + r**2 + 0*r + 4*r**4 + c.
r**2*(r + 1)**2*(3*r + 2)/2
Suppose d + 3*d - 16 = 0. Let w(b) be the first derivative of -7/2*b**d - 4/3*b**3 - 8/5*b**5 - 2 + b**2 + 0*b. Factor w(y).
-2*y*(y + 1)**2*(4*y - 1)
Let m(a) be the second derivative of 8*a + 0 - 3/4*a**3 + 3*a**2 - 1/8*a**4. Determine n so that m(n) = 0.
-4, 1
Let u be (-30)/(-9)*(-2)/(-10). Determine n so that 4/3 + u*n**3 - 2*n + 0*n**2 = 0.
-2, 1
Let t(w) be the third derivative of -w**6/405 + w**5/108 - w**4/108 + w**3/3 + 8*w**2. Let m(z) be the first derivative of t(z). Factor m(h).
-2*(h - 1)*(4*h - 1)/9
Let b be (2 - (-15)/(-9))/(10/15). Factor 0 + b*k - 1/4*k**2.
-k*(k - 2)/4
Let o(z) be the first derivative of -z**7/147 + 4*z**6/105 - 3*z**5/35 + 2*z**4/21 - z**3/21 + 3*z + 1. Let y(l) be the first derivative of o(l). Factor y(t).
-2*t*(t - 1)**4/7
Let j(q) be the third derivative of q**5/150 - q**4/30 + 4*q**2. Factor j(t).
2*t*(t - 2)/5
Let w = 9 + -5. Let p(m) be the second derivative of 0*m**2 - 1/60*m**6 + 0 + 1/24*m**w - 1/12*m**3 + 1/40*m**5 + m. Factor p(b).
-b*(b - 1)**2*(b + 1)/2
Suppose 3*j - 6*u - 9 = -u, -3*j - 3*u + 33 = 0. Let h be (-1 + j/6)*6. Solve 2/7*m + 0 - 4/7*m**h - 2/7*m**5 + 4/7*m**4 + 0*m**3 = 0.
-1, 0, 1
Suppose 3*s + 0 = -m + 4, -5*s - 5 = 4*m. Find u such that 3*u**4 + 94*u**s - 93*u**3 - u - 2*u**2 + u = 0.
-1, 0, 2/3
Let t(p) be the first derivative of p**6/21 - 4*p**5/35 + 4*p**3/21 - p**2/7 - 6. Determine y so that t(y) = 0.
-1, 0, 1
Let k(x) be the third derivative of 0*x**3 + 0*x**5 - 1/840*x**8 + 0*x**4 + 0*x + 0 + 9*x**2 - 1/525*x**7 + 0*x**6. Suppose k(w) = 0. Calculate w.
-1, 0
Suppose -k - 4*k + 3*k**2 - 2*k**4 + k + 3*k**2 = 0. Calculate k.
-2, 0, 1
Solve -29*o - 19 + 74 - 5*o**2 + 79*o = 0 for o.
-1, 11
Determine g, given that 1/3*g**2 + 0 - 1/6*g**3 + 0*g = 0.
0, 2
Let x(l) = l. Let d(b) = 14*b**3 - 32*b**2 + 24*b - 4. Let r(h) = 2*d(h) - 4*x(h). Factor r(y).
4*(y - 1)**2*(7*y - 2)
Let 28/3*c + 8 + 0*c**2 - 4/3*c**3 = 0. What is c?
-2, -1, 3
Let t(v) be the second derivative of v**5/130 + v**4/78 - v**3/39 - v**2/13 + 2*v - 1. Factor t(r).
2*(r - 1)*(r + 1)**2/13
Let y be (-6)/(-1) - (-8