third derivative of g**6/600 - 7*g**5/300 + g**4/8 - 3*g**3/10 - 16*g**2. Factor o(k).
(k - 3)**2*(k - 1)/5
Let g(u) be the second derivative of -u**6/150 + u**5/25 - u**4/10 + 2*u**3/15 - u**2/10 + 7*u. Factor g(s).
-(s - 1)**4/5
Let q(u) = -3*u**4 - 12*u**3 + 15*u**2 + 12. Suppose 2*x - 10 = -3*x. Let l(n) = 3*n**3 + n**x - 3*n**3 - n**3 + 1. Let d(m) = -12*l(m) + q(m). Factor d(k).
-3*k**2*(k - 1)*(k + 1)
Let g(l) = -l**4 + l**2 - l - 1. Let q(w) = 12*w**2 + 8*w**2 - 1 - 24*w**4 + 12*w**3 - 20*w - 19. Let h(s) = -20*g(s) + q(s). Factor h(c).
-4*c**3*(c - 3)
Let g(p) be the third derivative of -1/28*p**4 + 0*p - 1/420*p**6 + 0 + 1/70*p**5 + 1/21*p**3 + p**2. Let g(q) = 0. What is q?
1
Let m(a) be the second derivative of -a**8/2240 - a**7/840 + a**6/120 - a**4/4 - 2*a. Let c(g) be the third derivative of m(g). Factor c(y).
-3*y*(y - 1)*(y + 2)
Let k be (1/((-3)/30))/2. Let x(j) = j**3 - 1. Let b(n) = 4*n**3 + 2*n**2 - n - 5. Let u(r) = k*x(r) + b(r). Solve u(s) = 0 for s.
0, 1
Suppose -2 = -4*x - j + 11, -3*x + 18 = -2*j. Suppose 4*w = -4, -3*a + a = -x*w - 10. Factor 0 + 2/5*k**2 + 0*k - 2/5*k**a.
-2*k**2*(k - 1)/5
Let u(a) = 11*a**2 + 13*a - 5. Let k(c) = -5*c**2 - 7*c + 2. Let i(t) = 5*k(t) + 2*u(t). What is s in i(s) = 0?
-3, 0
Let l be -6 - (7 - (-2453)/(-187)). Determine t, given that -4/17*t**3 - 2/17*t**4 + 0 + 4/17*t + l*t**2 = 0.
-2, -1, 0, 1
Let q(u) = -23*u**5 - 6*u**4 + 17*u**2 + 17. Let z(y) = 8*y**5 + 2*y**4 - 6*y**2 - 6. Let w(p) = -6*q(p) - 17*z(p). Factor w(g).
2*g**4*(g + 1)
Factor 4/7*f**2 + 0*f - 2/7*f**3 + 0.
-2*f**2*(f - 2)/7
Let d(k) = -k**3 - 5*k**2 + 9*k + 8. Let q be d(-6). Let x be (8/(-30))/(q/15). Find y such that 0 + 2/5*y**2 + x*y = 0.
-1, 0
Let j = 168 + -343. Let l = j - -879/5. Determine k so that l*k**2 - 2/5*k - 4/5 + 2/5*k**3 = 0.
-2, -1, 1
Let p = 11/39 - -2/39. Solve p + 2/3*x - x**2 = 0 for x.
-1/3, 1
Let x(n) be the second derivative of -n**5/130 - n**4/78 + 2*n**3/39 - 9*n. Let x(o) = 0. What is o?
-2, 0, 1
Let h(m) be the second derivative of -1/24*m**3 + 0*m**2 + 0 + 0*m**4 - 3*m + 1/80*m**5. Factor h(a).
a*(a - 1)*(a + 1)/4
Let p(c) be the first derivative of 0*c**3 - 1/10*c**5 - c**2 + 0*c + 1/12*c**4 - 3. Let f(x) be the second derivative of p(x). Determine k so that f(k) = 0.
0, 1/3
Solve 1/3*f + 2/3 + 1/3*f**4 - f**2 - 1/3*f**3 = 0.
-1, 1, 2
Let t(v) = v**4 - 24*v**3 + 55*v**2 - 48*v + 16. Let b(w) = -24*w**3 + 56*w**2 - 48*w + 16. Let j(y) = -3*b(y) + 4*t(y). Factor j(c).
4*(c - 2)**2*(c - 1)**2
Let t(q) be the second derivative of q**7/56 + q**6/20 - 9*q**5/40 - q**4/4 + 13*q**3/8 - 9*q**2/4 - 33*q + 1. Let t(j) = 0. Calculate j.
-3, -2, 1
Factor 4/3*c + 1/3*c**2 + 1.
(c + 1)*(c + 3)/3
Let g = 10 - 10. Let p(u) be the third derivative of 0*u**4 + 0*u**3 + g - 1/240*u**6 + 0*u - 3*u**2 + 1/120*u**5. Determine a so that p(a) = 0.
0, 1
Let r(d) = d**2 - 2*d - 2. Let j(z) = -2*z**2 + 3*z + 4. Let v(w) = 6*j(w) + 10*r(w). Solve v(x) = 0 for x.
-2, 1
Let s(r) = -3*r**3 + 12*r**2 + 6*r + 3. Let f(d) = -d**4 - 2*d**3 + 11*d**2 + 6*d + 2. Let u(t) = 3*f(t) - 2*s(t). Find w, given that u(w) = 0.
-1, 0, 2
Determine w, given that -32/3*w + 8/3*w**2 + 128/9 - 2/9*w**3 = 0.
4
Let z(w) be the third derivative of -w**7/210 - w**6/60 + w**4/12 + w**3/6 - 7*w**2. What is h in z(h) = 0?
-1, 1
Suppose 2 = -3*n + 17. Let o(p) be the first derivative of 0*p**2 + 1/6*p**6 + 0*p**3 - 2 + 0*p**4 + 0*p - 1/5*p**n. Solve o(x) = 0 for x.
0, 1
Let d(s) be the second derivative of 5*s**7/168 - s**6/12 - s**5/2 + 5*s**4/3 + 10*s**3/3 - 20*s**2 + 32*s. Factor d(n).
5*(n - 2)**3*(n + 2)**2/4
Let 44/5*p**2 - 336/5*p - 20*p**4 - 144/5 + 56*p**3 = 0. Calculate p.
-3/5, 2
Factor -56/3*x**3 + 4/3*x + 0 + 2/3*x**2.
-2*x*(4*x + 1)*(7*x - 2)/3
Let g(r) = -9*r**3 - 30*r**2 - 3*r + 22. Let q(x) = -72*x**3 - 240*x**2 - 24*x + 177. Let j(p) = 33*g(p) - 4*q(p). Solve j(o) = 0 for o.
-3, -1, 2/3
Let u(m) = -7*m - 1 - 33*m**3 + m**2 + 3 + 15*m**4 + 28*m**2 + 0. Let q(z) = -z**4 + z**3 - z. Let a(i) = -6*q(i) - u(i). Determine j so that a(j) = 0.
1/3, 2/3, 1
Determine l so that -16/5 - 28/5*l**4 - 4/5*l**5 - 76/5*l**3 - 20*l**2 - 64/5*l = 0.
-2, -1
Suppose 20*u**3 - 5*u**4 + 5*u**2 - 46*u**3 + 21*u**3 + 5*u**5 = 0. Calculate u.
-1, 0, 1
Let t(m) be the third derivative of -11*m**8/560 + m**7/175 - 25*m**2. Determine u, given that t(u) = 0.
0, 2/11
Let p(m) be the first derivative of 7/8*m**6 + m**5 + 1 - 17/16*m**4 - 5/3*m**3 - 1/2*m**2 + 0*m. Suppose p(b) = 0. Calculate b.
-1, -2/3, -2/7, 0, 1
Let a be (-9 - -6)/(6/(-80)). Suppose 3*d = -d + a. Determine v, given that -40/3*v**3 + 20/3*v**2 + 0*v + d*v**4 - 2/3 - 8/3*v**5 = 0.
-1/4, 1
Let l(u) be the first derivative of -u**6/40 + u**4/16 - 4*u + 2. Let v(c) be the first derivative of l(c). Factor v(t).
-3*t**2*(t - 1)*(t + 1)/4
Let o be 21/54 - 11/(-99). Factor r**2 + 1/4*r - o - 3/4*r**3.
-(r - 1)**2*(3*r + 2)/4
Factor 21*t**3 + 6*t**4 - 4*t**5 + 0*t**4 + 12*t**2 - t**3 - 2*t**4.
-4*t**2*(t - 3)*(t + 1)**2
Let d(f) be the second derivative of 0 + 3*f + 0*f**3 + 0*f**5 - 1/4*f**4 + 0*f**2 + 1/10*f**6. Factor d(t).
3*t**2*(t - 1)*(t + 1)
Let b be -1*-3*(-4)/(-60). Factor 0 - 1/5*m**2 - b*m.
-m*(m + 1)/5
Let n(v) be the second derivative of 5*v**7/168 - 7*v**6/24 + 15*v**5/16 - 15*v**4/16 - 2*v. Suppose n(h) = 0. What is h?
0, 1, 3
Suppose -24 + 9 = 5*l, 0 = -3*t - 4*l - 6. Determine r so that 2/9*r + 0 + 2/9*r**4 - 2/9*r**3 - 2/9*r**t = 0.
-1, 0, 1
Let m(s) = -2*s**2 - 2*s + 15*s + 4*s + 3. Let c(f) = f**2 - 6*f - 1. Let g(h) = -8*c(h) - 3*m(h). Factor g(n).
-(n + 1)*(2*n + 1)
Suppose 0*w**4 - 6*w**4 + 3*w**4 + w**4 = 0. What is w?
0
Let l = -6 + 9. Suppose -5*w + l*w = 0. Suppose -7*k**2 + 3*k**3 - 5*k**2 + 9*k + w*k**3 + 3*k = 0. What is k?
0, 2
Let i(z) = -z**2 + 7*z + 6. Let j be i(9). Let x be 2/j - 4/(-8). Factor 1/3 - x*k**3 - 1/3*k**2 + 1/3*k.
-(k - 1)*(k + 1)**2/3
Suppose 5 = -5*j + 20. Let l = 3 - -1. Suppose -2*s**j + 0*s**3 - s**4 + 0*s**4 + l*s**2 - 5*s**2 = 0. What is s?
-1, 0
Let t(g) be the first derivative of -2*g**5/5 - 5*g**4/2 - 6*g**3 - 7*g**2 - 4*g - 7. Factor t(j).
-2*(j + 1)**3*(j + 2)
Let k(o) be the first derivative of o**4/48 + 4*o - 3. Let c(z) be the first derivative of k(z). Determine j, given that c(j) = 0.
0
Let q(f) be the second derivative of -f**7/840 + f**5/240 + f**2 - f. Let s(z) be the first derivative of q(z). Determine j, given that s(j) = 0.
-1, 0, 1
Let 86 + 20*n - 5*n**2 + 99 - 200 = 0. What is n?
1, 3
Let d(s) = -s - 5. Let t(f) = f**2 + 8*f + 4. Let n be t(-6). Let m be d(n). Factor y**3 - 2*y**3 + m*y**5 - 2*y**5.
y**3*(y - 1)*(y + 1)
Suppose 7*c - 98 = -0*c. Suppose 5*w - 24 = -c. Factor 2/3*g**3 + 0 - 2/9*g**w + 2/9*g**5 + 0*g - 2/3*g**4.
2*g**2*(g - 1)**3/9
Let n be 0 + -1*(0 - 3). Let g(u) be the third derivative of 0 + 0*u**n + 0*u + u**2 + 0*u**4 - 1/150*u**5. Factor g(z).
-2*z**2/5
Let t(j) be the first derivative of j**9/4536 + j**8/2520 - j**7/1260 - j**6/540 - 4*j**3/3 + 1. Let i(g) be the third derivative of t(g). Factor i(p).
2*p**2*(p - 1)*(p + 1)**2/3
Factor -1/3*s**3 - 1/3*s + 0 - 2/3*s**2.
-s*(s + 1)**2/3
Let p(f) be the second derivative of f**5/20 + f**4/12 - f**3/6 - f**2/2 + 19*f. Let p(u) = 0. Calculate u.
-1, 1
Factor -8*r**3 - 10*r + 7*r**2 + 2 + 2*r**4 + 4*r**2 + r**2 + 2*r.
2*(r - 1)**4
Factor -4/5*f**3 + 12/5*f**2 + 0 + 16/5*f.
-4*f*(f - 4)*(f + 1)/5
Let n be 10*((-14)/10 + 2). Let p(u) = -u**2 + 6*u. Let j be p(n). Suppose 1/3*b + 16/3*b**4 + 3*b**2 + 8*b**3 + j = 0. Calculate b.
-1, -1/4, 0
Let s be 6 - 7/(504/400). Let 14/9*v + 10/9*v**2 + s = 0. What is v?
-1, -2/5
Suppose 3*u - 4*x - 4 = 2*u, -x - 8 = -2*u. Let t = u - 4. Factor t*n + 2*n**2 + n**2 + 2*n - n.
n*(3*n + 1)
Suppose 5*u - 11 - 9 = 0. Factor -m - 1 + 2*m**u - 3*m**4 - 4*m**3 - m**5 + 6*m**3 + 2*m**2.
-(m - 1)**2*(m + 1)**3
Let p(n) be the first derivative of -n**4/9 + 5*n**3/18 - n**2/6 + 2*n + 3. Let k(w) be the first derivative of p(w). Let k(m) = 0. Calculate m.
1/4, 1
Let b(z) = z + 3. Let t = -4 + 4. Let d be b(t). Factor -i**d + i**3 - i**3 + i.
-i*(i - 1)*(i + 1)
Solve -4*j**2 + 5 - 3 + 3*j**2 - 1 = 0.
-1, 1
Let r(l) be the second derivative of -1/210*l**7 + 2*l + 0*l**3 + 0*l**6 + 0*l**4 + 0*l**5 + 0 - l**2. Let j(c) be the first deriva