- 3/5*h - u*h**3 - 9/5*h**2 = 0 for h.
-1, 0
What is p in -70*p**2 + 11*p**3 - 4*p + 56*p**2 + 34*p**2 = 0?
-2, 0, 2/11
Let m = 136 - 3399/25. Let i = 28/75 - m. Solve -i*s**2 + 1/3*s + 0 = 0 for s.
0, 1
Let r(p) be the first derivative of -p**7/1050 + p**6/100 - p**5/25 + p**4/15 + 5*p**2/2 - 1. Let a(l) be the second derivative of r(l). Factor a(v).
-v*(v - 2)**3/5
Let v be ((-638)/121 - -5)*-11. Factor 0*q**2 - q + 1/2 - 1/2*q**4 + q**v.
-(q - 1)**3*(q + 1)/2
Let o(j) = -7*j**3 - 30*j**2 - 43*j - 20. Let s(y) = -15*y**3 - 60*y**2 - 85*y - 40. Let n(l) = 5*o(l) - 2*s(l). Factor n(b).
-5*(b + 1)**2*(b + 4)
Let x be (-24)/(-36)*(3 - 10/4). Factor 1/3*s + 0 + x*s**2.
s*(s + 1)/3
Let o(u) = -5*u**4 - 11*u**3 - 3*u**2 + 7*u + 6. Let s(z) = z**4 + z**3 + z. Let p(v) = -o(v) - 2*s(v). Factor p(a).
3*(a - 1)*(a + 1)**2*(a + 2)
Factor w**2 + 7*w**2 + 60*w + 11*w**2 - w**2 + 50.
2*(3*w + 5)**2
Solve -13*u + 5*u - 4 - u**3 + 0*u**3 - 166*u**2 + 161*u**2 = 0 for u.
-2, -1
Let f(l) be the second derivative of l**7/70 + l**6/300 - l**5/200 + 6*l. Factor f(g).
g**3*(2*g + 1)*(3*g - 1)/10
Factor 0 - 8*h**3 - 1/3*h**5 + 8/3*h**4 - 16/3*h + 32/3*h**2.
-h*(h - 2)**4/3
Let h be -2 + 50/15 + (-15)/18. Let t(j) be the first derivative of h*j - 2 - 1/12*j**3 + 1/8*j**2. Suppose t(a) = 0. Calculate a.
-1, 2
Let w(q) = -4 - 20*q + 2*q**3 + 18*q**2 - 6 + 2. Let i(z) = -z**3 - 6*z**2 + 7*z + 3. Let p(x) = 8*i(x) + 3*w(x). Factor p(f).
-2*f*(f - 2)*(f - 1)
Let m = -30 - -34. Let h(z) be the first derivative of 0*z**3 + 1 - 1/2*z - 1/2*z**2 + 1/4*z**m + 1/10*z**5. Factor h(g).
(g - 1)*(g + 1)**3/2
Let u(b) be the second derivative of 1/66*b**4 + 0*b**3 - 1/165*b**6 + 0*b**5 - 2*b + 0*b**2 + 0. Factor u(h).
-2*h**2*(h - 1)*(h + 1)/11
Let a(c) be the second derivative of -c**4/3 + 40*c**3/3 - 200*c**2 - 12*c. Factor a(v).
-4*(v - 10)**2
Suppose 0 = -d + 2*d. Let x(v) be the second derivative of -v + 0*v**2 + d + 1/21*v**7 + 1/10*v**5 - 2/15*v**6 + 0*v**3 + 0*v**4. Factor x(a).
2*a**3*(a - 1)**2
Let u(w) be the first derivative of -1/2*w**4 + 0*w**2 + 0*w - 2/3*w**3 - 3. Solve u(c) = 0.
-1, 0
Let u(l) = 2*l + 14. Let i be u(-6). Let x(n) be the first derivative of i*n + 2/3*n**3 + 2 + 2*n**2. Solve x(z) = 0 for z.
-1
Let l(x) be the second derivative of -x**7/315 + x**5/30 - x**4/18 - x**2 - x. Let a(q) be the first derivative of l(q). Factor a(o).
-2*o*(o - 1)**2*(o + 2)/3
Let v(j) = -17*j**4 + 4*j**3 + 8*j**2 + 13*j - 13. Let q(p) = 4*p**4 - p**3 - 2*p**2 - 3*p + 3. Let x(i) = -26*q(i) - 6*v(i). Solve x(f) = 0 for f.
-1, 0, 2
Let p(z) be the third derivative of -z**6/240 + 7*z**5/120 - 11*z**4/48 + 5*z**3/12 - 7*z**2. Factor p(b).
-(b - 5)*(b - 1)**2/2
Let g(t) be the second derivative of -t**9/52920 + t**7/2205 + t**4/3 + 2*t. Let w(p) be the third derivative of g(p). What is z in w(z) = 0?
-2, 0, 2
Let m(y) be the second derivative of y**4/36 + y**3/9 + y**2/6 - 15*y. Solve m(b) = 0.
-1
Solve w**4 - 9*w + 9*w**3 + 6 - 21*w**2 + 6*w**4 + 11*w**4 - 3*w**4 = 0.
-1, 2/5, 1
Let a(u) be the first derivative of u**5/60 - u**4/8 + u**3/3 - u**2/2 - 3. Let q(f) be the second derivative of a(f). Let q(k) = 0. Calculate k.
1, 2
Let o(j) = 2*j**2 - 1 + 0*j**2 + 0*j**2 - j - j**2. Let c(d) = 3*d**2 - 4*d - 1. Let m(u) = c(u) - 2*o(u). Factor m(s).
(s - 1)**2
Let r be 1/((-5)/2) - (-130)/75. Suppose -r*l + 2/3*l**2 + 0 = 0. Calculate l.
0, 2
Suppose 0*s + 8 = 2*s. Let g(m) be the second derivative of -s*m**2 + 0 - 2*m - 2/5*m**5 + 4/3*m**3 + 1/2*m**4 + 1/15*m**6. Factor g(p).
2*(p - 2)**2*(p - 1)*(p + 1)
Let t(c) = -47*c**5 - 70*c**4 + 3*c**3 + 22*c**2 - 6*c. Let i(g) = -46*g**5 - 70*g**4 + 3*g**3 + 23*g**2 - 7*g. Let b(w) = -2*i(w) + 3*t(w). Factor b(v).
-v*(v + 1)**2*(7*v - 2)**2
Let h(k) = -3*k + 20. Let j be h(6). Suppose -2/3*d**2 + 2/3*d**5 + 0*d + 0 + 2*d**3 - j*d**4 = 0. What is d?
0, 1
Let d(y) be the third derivative of 5*y**8/336 + y**7/6 + 13*y**6/24 + y**5/12 - 35*y**4/12 - 20*y**3/3 + 2*y**2 + 8*y. Determine w so that d(w) = 0.
-4, -2, -1, 1
Let y(t) = t**2 - t - 1. Let i(d) = d**2 + 2*d - 7. Let h(m) = i(m) - 4*y(m). Factor h(p).
-3*(p - 1)**2
Suppose 4*g = 20 + 4. Suppose -5*k = -g + 1. Let f(a) = -5*a**2 + 1. Let s(o) = -o**2. Let h(w) = k*f(w) - 4*s(w). Factor h(i).
-(i - 1)*(i + 1)
Let z(t) be the second derivative of 0 + 1/33*t**4 + 0*t**2 - 1/33*t**6 + t + 0*t**3 + 3/110*t**5. Factor z(q).
-2*q**2*(q - 1)*(5*q + 2)/11
Let z(k) be the third derivative of -k**5/60 - k**4/12 - k**3/6 + 3*k**2. Solve z(j) = 0 for j.
-1
Factor -2 + 2/3*h**3 - 10/3*h**2 + 14/3*h.
2*(h - 3)*(h - 1)**2/3
Find p, given that -1/4*p**2 - 7/4*p - 5/2 = 0.
-5, -2
Let y(w) = -w + 19. Let h be y(19). Let k(l) be the first derivative of 2 + 1/6*l**3 + h*l - 1/8*l**4 + 0*l**2. Factor k(g).
-g**2*(g - 1)/2
Factor -2*y**3 + 3*y**4 + 6*y**3 - 6*y**3 - 2*y**5 + y**4.
-2*y**3*(y - 1)**2
Let o(r) = -r**3 + 1. Let c(v) = -8*v**3 - 2 + 10*v**3 - 3*v + 3*v**2 + 0. Let p(y) = c(y) + 3*o(y). Find g such that p(g) = 0.
1
Suppose 0 = 4*f + p - 4, -5*f - 5*p - 13 = -3. Suppose 4*d**4 + d**4 - 6*d**3 + 3*d**2 - f*d**4 = 0. Calculate d.
0, 1
Let a be 3/12*0 - 27/(-36). Factor a*l**4 - 1/4*l**5 + 0*l + 0 - 3/4*l**3 + 1/4*l**2.
-l**2*(l - 1)**3/4
Let a(z) = 16*z**5 + 32*z**4 + 8*z**3 + 4*z**2 + 20. Let n(h) = -h**5 - h**4 - h**3 - 1. Let u(t) = -a(t) - 20*n(t). Factor u(q).
4*q**2*(q - 1)**3
Find w such that 2/11*w - 4/11*w**2 - 2/11*w**3 + 4/11 = 0.
-2, -1, 1
Let z(u) = u**4 + u**3 - u**2 - u - 1. Let w(i) be the first derivative of 4*i - i**4 - 3/5*i**5 + 3 + 2*i**2 + i**3. Let l(c) = 3*w(c) + 12*z(c). Factor l(k).
3*k**2*(k - 1)*(k + 1)
Factor -1 + 0 - 3*c**2 + 5*c**3 - 4*c**3 + 3*c.
(c - 1)**3
Let s(z) be the third derivative of z**8/2880 - z**7/560 + z**6/360 - z**5/20 - 3*z**2. Let q(f) be the third derivative of s(f). Let q(p) = 0. Calculate p.
2/7, 1
Let m(q) be the third derivative of q**7/98 - 17*q**6/280 + 3*q**5/20 - 11*q**4/56 + q**3/7 - 19*q**2. Find k such that m(k) = 0.
2/5, 1
Let s(f) be the second derivative of f**5/50 + f**4/30 + 4*f. Factor s(a).
2*a**2*(a + 1)/5
Let b be 3/12 - 57/(-12). Suppose 0 = b*h - 16 + 6. Determine f so that 2*f**3 + f**4 + f**2 + 2*f**3 - 3*f**3 - h*f**4 - f**5 = 0.
-1, 0, 1
Let s(v) = 3*v**3 + 23*v**2 + 17*v + 17. Let q(i) = 4 + 6*i + i**3 - 2 + 4 + 8*i**2. Let j(r) = 17*q(r) - 6*s(r). Factor j(d).
-d**2*(d + 2)
Let d = -45 + 186. Let x = d + -985/7. Solve x*m**2 + 0 + 2/7*m = 0 for m.
-1, 0
Let t = -38 - -74. Let j(f) = 24*f**2 + 8*f - 26. Let m(i) = -i**2 + 1. Let r(w) = t*m(w) + 2*j(w). What is q in r(q) = 0?
-2, 2/3
Let v(s) be the third derivative of -5*s**6/24 + s**5 + 55*s**4/24 - 5*s**3 + 7*s**2. Solve v(b) = 0.
-1, 2/5, 3
Let k be 3 + -2 + 3 + 0. Factor -z**4 - z**3 - 5*z**5 - z**k + 4*z**5.
-z**3*(z + 1)**2
Let w(p) = -13*p**4 + 4*p**3 + 17*p**2 - 9. Let n(m) = 3*m**4 - m**3 - 4*m**2 + 2. Let a be 3/3*1 - -8. Let z(l) = a*n(l) + 2*w(l). Factor z(b).
b**2*(b - 2)*(b + 1)
Let v(r) = r**2 + 12*r + 12. Let b be v(-11). Let k = b - -2. Factor k - 1 - 2*j**2 + 0.
-2*(j - 1)*(j + 1)
Let k be (2/(-4))/((-6)/36) - 3. What is d in 0 + 1/3*d**3 - 1/3*d**4 + 0*d + k*d**2 = 0?
0, 1
Let o(s) = 5*s**4 + 4*s**3. Let w(g) = -9*g**4 - 7*g**3. Suppose -2*m - 3*m = -60. Let v = 5 - m. Let h(f) = v*o(f) - 4*w(f). Solve h(k) = 0 for k.
0
Suppose -2*x + 2*z - 5 = 1, 0 = -x - z - 7. Let p = x - -7. Find u, given that -u**2 + 4*u + 0*u**2 + 2 + 3*u**p = 0.
-1
Let c(t) be the first derivative of -3*t**4/28 + t**3/7 + 3*t**2/14 - 3*t/7 - 13. Factor c(b).
-3*(b - 1)**2*(b + 1)/7
Determine r, given that -3*r**2 + 3*r**4 + 6*r**3 - 2*r**4 + 2*r**4 - 6*r + 0*r**4 = 0.
-2, -1, 0, 1
Find g, given that 0*g + 4/7*g**5 + 8/7*g**4 + 0 + 0*g**2 + 4/7*g**3 = 0.
-1, 0
Suppose 0 = -2*h - 5*s - 3 - 0, -3*h - 3*s + 9 = 0. Let w(f) = -2*f**2 + 7*f - 13. Let z(o) = -o**2 + 4*o - 7. Let k(n) = h*w(n) - 11*z(n). Factor k(t).
-(t + 1)**2
Suppose 0 = -b + 1 + 3. Find j, given that j - 2*j**3 + b*j - 6*j**2 - j - 2*j**5 + 6*j**4 = 0.
-1, 0, 1, 2
Let c(t) be the third derivative of t**8/21 + 4*t**7/15 + 5*t**6/24 - 61*t**5/60 - 4*t**4/3 - 2*t**3/3 - 7*t**2. Find r, given that c(r) = 0.
-2, -1/4, 1
Suppose 2 = -2*w + 8. Suppose -13 = -x + 3*p, -2*p = 3*x + 3*p + w. What is s in s**5 + 10*s**2 + s**3 - 