 first derivative of s - 4/21*u**3 + 0*u + 0*u**2 + 5/14*u**4 + 2/5*u**5. Factor l(c).
2*c**2*(c + 1)*(7*c - 2)/7
Factor -1/4*h**2 - 1/4*h + 1/4*h**3 + 1/4.
(h - 1)**2*(h + 1)/4
Let t(l) = -5*l**3 - 43*l**2 - 225*l - 373. Let x(w) = 16*w**3 + 128*w**2 + 675*w + 1118. Let u(b) = 7*t(b) + 2*x(b). Factor u(q).
-3*(q + 5)**3
Suppose -3*s**2 + 0*s + 0*s + 3 = 0. Calculate s.
-1, 1
Suppose -2 + 0 = -2*m. Determine v, given that m - 6 + v**2 + 4 = 0.
-1, 1
Let r(z) be the third derivative of 2*z**2 + 0*z**3 + 0*z**4 - 1/105*z**7 - 1/15*z**6 + 1/30*z**5 + 0*z + 0 + 1/42*z**8. Find b, given that r(b) = 0.
-1, 0, 1/4, 1
Let t(m) be the third derivative of 1/4*m**4 - 2*m**2 + 1/2*m**3 + 0 + 1/20*m**5 + 0*m. Factor t(k).
3*(k + 1)**2
Let u(q) = -10*q**4 - 41*q**3 - 60*q**2 - q. Let z(d) = d**4 + d**3 - 2*d. Let r(t) = -u(t) - 4*z(t). Factor r(x).
x*(x + 3)**2*(6*x + 1)
Let u(p) be the second derivative of -4*p - 1/20*p**5 + p**2 + 1/3*p**4 + 0 - 5/6*p**3. Factor u(l).
-(l - 2)*(l - 1)**2
Let c = 12/11 - 277/264. Let q(a) be the third derivative of 0 - 1/9*a**3 + 0*a - 1/180*a**5 + a**2 + c*a**4. Suppose q(b) = 0. What is b?
1, 2
Let p(d) = -d**3 + d**2 + 4*d - 4. Let u be p(2). Let s(a) be the second derivative of -1/12*a**4 + 0 + u*a**2 - 1/20*a**5 - 2*a + 1/3*a**3. Factor s(k).
-k*(k - 1)*(k + 2)
Let h(z) = -z**3 + 10*z**2 - 10*z + 11. Let k be h(9). Let n(c) = -c - 3. Let q be n(-3). Solve -2/5*u**k + q*u + 0 = 0.
0
Let j(u) = 5*u**2 + 68*u + 35. Let d(z) = -56*z**2 - 748*z - 384. Let q(v) = 3*d(v) + 32*j(v). Factor q(h).
-4*(h + 8)*(2*h + 1)
Suppose -z + 4 = v, 5*z + 0 = 20. Let g be (-1 + 5 - v)/6. Factor 2/3*n - 4/3 + g*n**2.
2*(n - 1)*(n + 2)/3
Let x be (1 - (6 - 2)) + (2 - -4). Factor 10/9*o**2 - 2/9*o**x + 2/3 - 14/9*o.
-2*(o - 3)*(o - 1)**2/9
Let s(y) be the second derivative of -y**8/420 + y**7/70 + 7*y**3/6 + 9*y. Let n(z) be the second derivative of s(z). Suppose n(d) = 0. Calculate d.
0, 3
Let p = -284 + 1428/5. Find v, given that -8/5 + p*v - 2/5*v**2 = 0.
2
Let w(p) = p**2 + 3*p + 1. Let v be w(-2). Let a = v + 3. Find k such that -a*k**3 + 0*k + 10/3*k**4 - 4/3*k**2 + 0 = 0.
-2/5, 0, 1
Let x(r) = -r**2 + 13*r - 35. Let y be x(5). Let a be (2 + -1)/(1/4). Factor 1/3*f**y - 4/3*f**a + 0 + 4/3*f**3 + 0*f**2 + 0*f.
f**3*(f - 2)**2/3
Let v be -3 + -3 + 252 + 2. Let p = v - 987/4. Let -3/4*s + 1/2 - p*s**2 = 0. Calculate s.
-1, 2/5
Suppose -z = -4 - 0. Let k(h) be the third derivative of -1/70*h**7 + 2*h**2 - 1/20*h**6 + 1/4*h**z + 0*h + 1/2*h**3 + 0*h**5 + 0. Suppose k(u) = 0. What is u?
-1, 1
Let g(p) be the third derivative of -p**7/3780 + p**6/1080 + p**5/90 + p**4/4 + 6*p**2. Let o(l) be the second derivative of g(l). Factor o(c).
-2*(c - 2)*(c + 1)/3
Let r(s) = -7*s**4 - 8*s**3 + 9*s**2 + 19*s - 16. Let i(n) = 6*n**4 + 8*n**3 - 10*n**2 - 18*n + 16. Let m(o) = -3*i(o) - 2*r(o). Factor m(w).
-4*(w - 1)**2*(w + 2)**2
Let 0 - 2/13*b**4 - 2/13*b**5 + 0*b**2 + 0*b**3 + 0*b = 0. Calculate b.
-1, 0
Let w(o) be the third derivative of o**5/10 + o**4/6 - 5*o**3/3 + 15*o**2. Factor w(b).
2*(b - 1)*(3*b + 5)
Let b(x) be the second derivative of 9/20*x**5 + x**4 - 2*x + 0 + 1/2*x**3 + 0*x**2. Solve b(h) = 0 for h.
-1, -1/3, 0
Let w(f) be the third derivative of f**6/300 + f**5/150 - f**4/60 - f**3/15 + 7*f**2. Factor w(s).
2*(s - 1)*(s + 1)**2/5
Factor 0*u**3 + 13*u**2 - 1080 - 5*u**3 - 103*u**2 - 540*u.
-5*(u + 6)**3
Factor -4/5*a + 2/5*a**3 + 0 + 2/5*a**2.
2*a*(a - 1)*(a + 2)/5
Factor 1/3*k**2 + 0 + 1/3*k.
k*(k + 1)/3
Let o be 4/5*10/4. Let n = o + 0. Find x, given that 0*x**3 - n*x - x**3 + 3*x**3 = 0.
-1, 0, 1
Let a(s) = 7*s**2 - 50*s + 125. Let m(c) = -36*c**2 + 250*c - 625. Let w(f) = 11*a(f) + 2*m(f). Determine i so that w(i) = 0.
5
Let d = 3 + 0. Factor d - 4 + 2*k**5 + 1 - 2*k**3.
2*k**3*(k - 1)*(k + 1)
Let m = -1270/7 + 182. Let y(z) be the second derivative of z + 4/21*z**3 + m*z**2 + 1/42*z**4 + 0. Let y(q) = 0. What is q?
-2
Let x = 56 - 52. Let v(d) be the first derivative of -6*d + x + d**3 - 3/2*d**2. Factor v(o).
3*(o - 2)*(o + 1)
Let o(f) be the third derivative of -f**8/336 - f**7/70 + f**6/120 + 11*f**5/60 + f**4/2 + 2*f**3/3 - 15*f**2. Factor o(j).
-(j - 2)*(j + 1)**3*(j + 2)
Let p = -4 + 8. Suppose -p*j + 4 = -2*j. Factor 1/4 + 3/4*o + 1/4*o**3 + 3/4*o**j.
(o + 1)**3/4
Suppose 0 = 2*i - f + 27 - 1, -2*f = 3*i + 39. Let w(v) = -v**2 - 13*v + 5. Let j be w(i). Factor -1/3*t**4 - 1/6*t + 0 + 1/3*t**2 + 0*t**3 + 1/6*t**j.
t*(t - 1)**3*(t + 1)/6
Let o(n) be the second derivative of 0 - 3/10*n**5 + 1/2*n**3 + 0*n**2 + 5*n + 1/4*n**4. Factor o(g).
-3*g*(g - 1)*(2*g + 1)
Let n(r) be the third derivative of -r**5/330 + r**4/33 - r**3/11 + 6*r**2. Factor n(t).
-2*(t - 3)*(t - 1)/11
Let v = 4 + -2. Let d be (-920)/(-84) - 4/14. Let -16/3*b - 2/3 - d*b**v = 0. What is b?
-1/4
Let t(z) be the first derivative of -4*z**3/21 + 4*z**2/7 + 9. Factor t(d).
-4*d*(d - 2)/7
Suppose 0 = 3*u + 4 - 13. Find i such that -5*i - i**u - i**2 + 6*i + i**2 = 0.
-1, 0, 1
Factor -3*r**3 - r**3 - 8*r**3 - 10*r**4 + 6*r**4 + 16*r**2.
-4*r**2*(r - 1)*(r + 4)
Let m = 5 + 0. Let c(t) = -t**2 + 4*t + 7. Let b be c(5). Solve -l**b - 4*l**3 + 0*l**2 + 1 - l + 0*l**2 + m*l**3 = 0 for l.
-1, 1
Let h(g) = -g**3 + 6*g**2 - 6*g + 6. Let n be h(4). Let x be (-1 - 3)/((-140)/n). Let -x*a**3 + 0 + 2/5*a**2 + 0*a = 0. What is a?
0, 1
Let h(b) be the first derivative of 0*b**2 + 0*b + 0*b**3 + 1 + 2/5*b**5 + 1/3*b**6 - b**4. Factor h(k).
2*k**3*(k - 1)*(k + 2)
Let z = 6 - 6. Factor 9*p**3 + 9*p**4 + p**2 + 2*p**4 + p**5 + 3*p**5 - p + z*p**2.
p*(p + 1)**3*(4*p - 1)
Let t(a) = 10*a**4 - 3*a**3 - 34*a**2 - 26*a - 19. Let o(s) = 3*s**4 - s**3 - 11*s**2 - 9*s - 6. Let l(r) = -7*o(r) + 2*t(r). Factor l(m).
-(m - 4)*(m + 1)**3
Let l(c) be the third derivative of c**5/180 - c**4/12 + 4*c**3/9 - 10*c**2. Let l(y) = 0. What is y?
2, 4
Let p be (2/8)/(3/36). Factor -4*l**p + l**3 + 20*l**2 - l**3 - 12*l**2.
-4*l**2*(l - 2)
Let b be 4/(-2) + 1235/370. Let d = 6/37 + b. Factor 0*j + 0 - d*j**2.
-3*j**2/2
Let q(k) be the second derivative of -k**7/105 + k**6/15 - k**5/6 + k**4/6 - 3*k**2 + 7*k. Let m(f) be the first derivative of q(f). Factor m(p).
-2*p*(p - 2)*(p - 1)**2
Let f(z) be the third derivative of -49*z**6/24 - 77*z**5/12 - 20*z**4/3 - 10*z**3/3 - 10*z**2. Factor f(h).
-5*(h + 1)*(7*h + 2)**2
Let t(i) = -i**2 - 4*i + 3. Let o = 1 + -2. Let d(q) = q - 1. Let v(y) = o*t(y) - 3*d(y). Solve v(f) = 0.
-1, 0
Let s(o) = o**3 + 9*o**2 - 2*o - 9. Let i be s(-9). Let a be 6/4 + i/(-6). Factor 2/3*c**2 + 0*c + 2/3*c**3 + a.
2*c**2*(c + 1)/3
Let q = -3/74 - -1849/888. Let n(v) be the second derivative of v - 7/3*v**3 + v**2 + q*v**4 + 0. Factor n(w).
(7*w - 2)**2/2
Let m(g) be the first derivative of -3*g**4/8 - g**3/2 + 3*g**2/4 + 3*g/2 + 15. Find j, given that m(j) = 0.
-1, 1
Let x = -202 - -207. Let k(v) be the second derivative of -1/3*v**2 + x*v + 1/6*v**4 - 2/9*v**3 + 0. Factor k(n).
2*(n - 1)*(3*n + 1)/3
Let a(r) be the first derivative of -r**3/5 - 6*r**2/5 - 9*r/5 + 13. Let a(p) = 0. Calculate p.
-3, -1
Let i(f) be the third derivative of -3*f**2 + 1/540*f**6 + 0 - 1/90*f**5 + 0*f - 1/27*f**3 + 1/36*f**4. Let i(p) = 0. What is p?
1
Let x = -71 - -75. Find q such that 4/13*q**3 - 2/13*q**x + 0*q + 0 - 2/13*q**2 = 0.
0, 1
Let z = -637 + 1277/2. Find u, given that 1/4 + 1/4*u**4 + u**3 + u + z*u**2 = 0.
-1
Let z(o) be the first derivative of -o**6/90 + o**5/15 - 8*o**3/3 + 1. Let h(x) be the third derivative of z(x). Find y such that h(y) = 0.
0, 2
Let t(a) be the third derivative of -a**7/1050 + a**6/200 - a**5/300 - a**4/40 + a**3/15 + 14*a**2. Factor t(x).
-(x - 2)*(x - 1)**2*(x + 1)/5
Let b(c) be the second derivative of 0 + 0*c**2 - 2*c + 1/42*c**4 - 1/21*c**3. Let b(w) = 0. Calculate w.
0, 1
Let j be 70/6 - (-10 - -5). Let -2/3*s**5 + 14/3*s**4 + 8/3 - 32/3*s - 38/3*s**3 + j*s**2 = 0. Calculate s.
1, 2
Suppose -3*i - 3 = 3*b, -3*b = b + i - 11. Suppose b*l = 5*z - 12, l + 5*z - 6 = 4*z. Factor -1/2 - 3/2*x**l + 2*x.
-(x - 1)*(3*x - 1)/2
Let b(z) = 3*z**2 - z + 1. Let i be b(1). Factor h**3 - 4*h - 2*h**i + 4*h**3 + 4*h**2.
h*(h + 2)*(3*h - 2)
Let y be (-4)/(-24)*1 - (-1)/66. Let k(w) be the first derivative of -2/33*w**3 - y*w - 2 - 2/11*w**2. Factor k(z).
-2*(z + 1)**2/11
Fac