 - v**4/48 + 16*v**2. Factor a(p).
p*(p - 1)*(p + 2)**2/8
Let d(o) be the third derivative of 0*o**3 + 3/20*o**6 + 1/112*o**8 + 0*o - 2/35*o**7 - 1/5*o**5 + 2*o**2 + 1/8*o**4 + 0. Factor d(m).
3*m*(m - 1)**4
Let c(q) be the third derivative of q**7/98 + q**6/140 - q**5/28 - q**4/28 - 9*q**2. Suppose c(r) = 0. Calculate r.
-1, -2/5, 0, 1
Let t(l) = 11*l - 4. Let r(o) = -7*o + 3. Let h(u) = 8*r(u) + 5*t(u). Let z be h(2). Suppose 5/2*b**3 + 4*b**z + 1/2*b - 1 = 0. What is b?
-1, 2/5
Let j(q) be the first derivative of -q**4/4 - 7*q**3/3 + 2*q - 2. Let c be j(-7). Factor 0*g**2 - 2*g**c - 3*g - g.
-2*g*(g + 2)
Let n(f) be the first derivative of -4*f**5/35 + 5*f**4/7 - 8*f**3/7 - 8*f**2/7 + 32*f/7 + 2. Factor n(p).
-4*(p - 2)**3*(p + 1)/7
Let x be ((-6)/4)/(-1 + (-20)/(-32)). Let y(s) be the first derivative of -1 + 2/3*s**3 + 1/2*s**x - s**2 - 2*s. Let y(f) = 0. What is f?
-1, 1
Let y(o) = -4*o**3 - 7*o**2 - 10*o + 7. Let q(b) = -b**3 - 2*b**2 - 3*b + 2. Let f(g) = 21*q(g) - 6*y(g). Solve f(p) = 0 for p.
-1, 0, 1
Let x(d) be the first derivative of d**5/20 + d**4/4 + 5*d**3/12 + d**2/4 - 10. Solve x(u) = 0 for u.
-2, -1, 0
Let j(a) be the first derivative of 1 - 1/2*a**4 + 0*a**2 - 8*a + 2*a**3. Determine s so that j(s) = 0.
-1, 2
Let k = -34 + 37. Let i(f) be the third derivative of 2/3*f**3 + 1/12*f**4 + 0*f - 1/60*f**6 - 1/15*f**5 - k*f**2 + 0. Solve i(r) = 0 for r.
-2, -1, 1
Let c(l) = 2*l + 17. Let o be c(-7). Suppose 0 = -o*j - u + 9, 3*u = -4*j + 4*u + 5. Let 3/4*g - 1/4*g**3 - 1/2 + 0*g**j = 0. What is g?
-2, 1
Factor 0*c**2 + 3/4*c**3 + 3/8*c**4 - 3/8 - 3/4*c.
3*(c - 1)*(c + 1)**3/8
Suppose g = -3*g. Let q(h) = -h**2 + 1. Let z be q(g). Suppose 0 - 4*a - a**3 + a + 3*a**2 + z = 0. Calculate a.
1
Let i(w) be the third derivative of 0 + 0*w**4 - 2/27*w**3 + 1/180*w**5 + 1/1080*w**6 + 0*w + 3*w**2. Solve i(b) = 0 for b.
-2, 1
Let w(c) be the first derivative of 0*c**2 + 1/15*c**3 + 1/20*c**4 + 0*c - 3. Solve w(s) = 0 for s.
-1, 0
Find m such that 6/7*m**4 + 2/7*m**3 + 4/7 - 10/7*m**2 - 2/7*m = 0.
-1, 2/3, 1
Let y(h) be the first derivative of 1/4*h**4 + 1/2*h**2 + 2/3*h**3 + 0*h - 3. Determine t, given that y(t) = 0.
-1, 0
Let h be 8/15 - 1/3. Suppose t + 0 = 2, 2*t = q + 1. Let -2/5 + 6/5*n**2 - 2/5*n**4 + h*n**q + 1/5*n = 0. What is n?
-1, 1/2, 2
Let k(r) = -r**2 + r - 3. Suppose 4*j = -27 + 3. Let z(l) = l**3 - l + 1. Let g(y) = j*z(y) - 2*k(y). Suppose g(s) = 0. What is s?
-2/3, 0, 1
Factor 1/3*h**3 + 0 + 2/3*h**2 + 0*h.
h**2*(h + 2)/3
Factor -2*l**5 + 28*l**2 - 2*l**4 - 24*l**2 - 2*l**4 - 2*l**5 + 4*l**3.
-4*l**2*(l - 1)*(l + 1)**2
Let c(k) be the second derivative of 0 + 0*k**3 - 1/24*k**4 - 6*k + 0*k**2 + 1/20*k**5 - 1/60*k**6. Factor c(s).
-s**2*(s - 1)**2/2
Factor 0*v - 15/2*v**3 - 9/2*v**2 - 1/2*v**5 + 0 - 7/2*v**4.
-v**2*(v + 1)*(v + 3)**2/2
Let u(j) = j**2 - 23*j + 3. Let t be u(23). Solve 34/5*l**2 + 14*l**t + 46/5*l**4 - 8/5*l + 2*l**5 - 8/5 = 0 for l.
-2, -1, 2/5
Let m(x) = x + 7. Let a be m(-5). Suppose -4*k - 2*k**a - 6*k**3 + 10*k**5 - 6*k**2 - 6*k**2 + 14*k**4 = 0. Calculate k.
-1, -2/5, 0, 1
Let y(t) be the third derivative of 0 - 3*t**2 + 0*t + 0*t**4 + 0*t**3 + 1/630*t**7 + 1/360*t**6 + 0*t**5. Let y(o) = 0. What is o?
-1, 0
Suppose 0*t + 1/4*t**4 + 0 - t**3 - 5/4*t**2 = 0. Calculate t.
-1, 0, 5
Let q(r) be the first derivative of r**9/12096 - r**7/1680 + r**5/480 + 4*r**3/3 - 2. Let i(c) be the third derivative of q(c). Factor i(h).
h*(h - 1)**2*(h + 1)**2/4
Let g(h) be the second derivative of h**8/6720 - h**7/840 + h**6/240 - h**5/120 - h**4/2 + 9*h. Let u(j) be the third derivative of g(j). Factor u(k).
(k - 1)**3
Let x(q) be the second derivative of q**6/105 + q**5/35 + q**4/42 - 8*q. Factor x(v).
2*v**2*(v + 1)**2/7
Let l(b) = -10*b**3 + 46*b**2 + 48*b + 24. Let y(z) = -3*z**3 + 15*z**2 + 16*z + 8. Let u = -16 - -11. Let p(w) = u*l(w) + 16*y(w). Factor p(j).
2*(j + 1)*(j + 2)**2
Let n(r) be the third derivative of r**9/302400 + r**5/20 - 3*r**2. Let m(z) be the third derivative of n(z). Determine j, given that m(j) = 0.
0
Let q = 5 + -10. Let h be q/20 - 7/4. Let o(g) = 11*g**2 + g. Let k(u) = -5*u**2 - u. Let f(x) = h*o(x) - 5*k(x). Find w, given that f(w) = 0.
-1, 0
Let v be (-8)/(-2) - -1 - 1. Solve -2 - 4*a**4 + 2 + 4*a**2 - v*a**5 + 4*a**3 = 0 for a.
-1, 0, 1
Suppose o + 20 = -3*n, 2*o + 3 = -n - 7. Let r be -2*(7/n - -1). Let -r + 1/3*p**2 + 0*p = 0. What is p?
-1, 1
Suppose 2/11*k**4 - 12/11*k - 10/11 + 12/11*k**3 + 8/11*k**2 = 0. Calculate k.
-5, -1, 1
Let b(a) be the third derivative of 0 - 1/12*a**4 - 19/60*a**6 - 1/2*a**5 + 2/3*a**3 - 1/15*a**7 + a**2 + 0*a. Factor b(l).
-2*(l + 1)**3*(7*l - 2)
Suppose 3*r + 2*r + 25 = 0. Let y be r + 5 - 6/(-9). Find t, given that -y*t + 2/3*t**2 + 0 = 0.
0, 1
Suppose 3*h = 2*s + 11, 0*s - 17 = 4*s - 5*h. Let -c + c**2 + 4*c**s - 4*c**2 = 0. What is c?
0, 1
Factor 2*i - 4/5*i**3 - 4/5 - 2/5*i**2.
-2*(i - 1)*(i + 2)*(2*i - 1)/5
Let t(o) = o**3 + o**2 + 4. Let y be t(0). Factor 0*b**4 + 2*b**2 + 2*b**5 + 6*b**3 + 3*b**y + 3*b**4.
2*b**2*(b + 1)**3
Let r(s) be the second derivative of -2*s + 0*s**4 - 1/90*s**5 + 0 + 1/27*s**3 + 0*s**2. Suppose r(n) = 0. Calculate n.
-1, 0, 1
Suppose 0 = -4*d + 3*y + 23, 2*d - 2*y - 29 = 3*y. Factor d*a + 0*a - a**2 - a + a.
-a*(a - 2)
Let q(g) be the third derivative of -g**8/672 + g**7/210 - g**5/60 + g**4/48 - 9*g**2. Factor q(z).
-z*(z - 1)**3*(z + 1)/2
Factor -3/4*x**3 + 3 + 15/4*x**2 - 6*x.
-3*(x - 2)**2*(x - 1)/4
Let y(u) be the second derivative of -u**6/120 - u**5/16 - u**4/6 - u**3/6 - 10*u. Factor y(b).
-b*(b + 1)*(b + 2)**2/4
Let p(d) be the first derivative of d**4 - 3 - 2/5*d**5 - 2*d**2 + 0*d**3 + 2*d. Solve p(u) = 0.
-1, 1
Let u be -7 + (-35)/(-7) - (-24)/10. Let 2/5 + u*f**2 - 4/5*f = 0. What is f?
1
Suppose -3*l = l. Let c be ((-7)/14)/((-4)/6 - 0). Factor -c*o**4 + 3/4*o**3 + 0 + 0*o**2 + l*o.
-3*o**3*(o - 1)/4
Find m, given that 0*m**2 + 0 - 4/3*m**4 - 2/3*m**3 + 0*m = 0.
-1/2, 0
Let k(m) = 77*m - 228. Let l be k(3). Let 6/5*b**2 - 9/5*b**4 - 3/5*b**5 + 3/5 + 9/5*b - 6/5*b**l = 0. Calculate b.
-1, 1
Let g(i) be the first derivative of -i**5/90 + i**3/9 - 2*i**2 - 4. Let c(a) be the second derivative of g(a). Factor c(t).
-2*(t - 1)*(t + 1)/3
Let f be 3/(-12) - (55/(-12))/5. Let a(w) be the first derivative of 1/9*w**3 - f*w + 1 - 1/6*w**2. Factor a(z).
(z - 2)*(z + 1)/3
Let x(w) be the second derivative of w**6/45 + 2*w**5/15 + w**4/6 + 6*w. Factor x(d).
2*d**2*(d + 1)*(d + 3)/3
Let a(h) be the first derivative of 2/3*h**3 + 0*h**5 + 0*h + 0*h**2 + 1/720*h**6 + 0*h**4 - 2. Let k(q) be the third derivative of a(q). Factor k(x).
x**2/2
Let j be 7*6/(-21)*-2. Factor -3*w**j - 4*w**3 - 2*w**3 + 6*w + 6 - 3.
-3*(w - 1)*(w + 1)**3
Suppose -8 - 6*m - 3*m**2 + m**2 - 10*m**2 - 14*m = 0. Calculate m.
-1, -2/3
Let z(q) be the second derivative of q**4/4 - 2*q**3 - 15*q**2/2 + 26*q. Factor z(u).
3*(u - 5)*(u + 1)
Suppose -3*f + 110 = -5*w, -w = -5*w - 16. Let x be ((-4)/18)/((-10)/f). Factor 2/3 - x*b**2 + 2/3*b**3 - 2/3*b.
2*(b - 1)**2*(b + 1)/3
Let i(g) be the second derivative of 0 - g**2 - 1/12*g**4 - 1/2*g**3 + 6*g. Suppose i(h) = 0. What is h?
-2, -1
Let h = 338 - 1349/4. Find t such that -h*t**3 + 0 - 3/4*t**2 - 1/4*t**4 - 1/4*t = 0.
-1, 0
Let r(n) be the third derivative of -n**7/420 + n**6/60 - n**5/20 + n**4/12 - n**3/12 - 12*n**2. Factor r(v).
-(v - 1)**4/2
Let w(f) be the second derivative of -f**6/6 + 5*f**4/4 + 5*f**3/3 - 12*f. Factor w(o).
-5*o*(o - 2)*(o + 1)**2
Let d(c) = c**2 + 3*c - 7. Let m be d(-5). Let q be m/(-3) + 4 - 3. Factor -6/5*z**3 - 2/5*z**2 + q*z + 0 - 2/5*z**5 - 6/5*z**4.
-2*z**2*(z + 1)**3/5
Let w(m) = 4*m + 32. Let u be w(-8). Solve 1/3*t + 1/3*t**4 - 1/3*t**3 - 1/3*t**2 + u = 0 for t.
-1, 0, 1
Suppose -c - 2*c = 3*q + 6, -2*q - 7 = c. Let l = 3/22 - -4/11. Suppose 0*m + m**c + 0 - 1/2*m**2 - l*m**4 = 0. What is m?
0, 1
Determine w, given that 2*w**5 + 20*w**4 - 15*w + 266*w**3 + 676*w**2 + 256 + 719*w + 20*w**4 = 0.
-8, -2, -1
Let o = 12 - 20. Let t = -8 - o. Find h such that 0*h + t*h**2 + 0 + 2/3*h**3 = 0.
0
Let l(z) be the second derivative of -1/16*z**4 + 0 + 3/4*z**2 + 1/8*z**3 - z. Determine g, given that l(g) = 0.
-1, 2
Let o(x) be the first derivative of 2/3*x**2 - 14/9*x**3 + 5/6