 1/2*r**4 + 0*r**3 + 0*r.
r**2*(r - 1)*(r + 1)/2
Let f(g) be the first derivative of 0*g - g**2 + 2*g**4 - 4/3*g**3 + 4/5*g**5 - g**6 + 3. What is o in f(o) = 0?
-1, -1/3, 0, 1
Let p(h) be the second derivative of 0*h**2 - 1/6*h**3 + 1/20*h**5 + 0 + 1/12*h**4 + 3*h - 1/30*h**6. Solve p(a) = 0 for a.
-1, 0, 1
Let m(q) be the first derivative of 15*q**6/2 + 21*q**5 + 5*q**4/4 - 15*q**3 + 5*q**2 - 9. Let m(b) = 0. Calculate b.
-2, -1, 0, 1/3
Let v(o) be the first derivative of 11*o**3/2 - 39*o**2/4 + 3*o + 34. Factor v(x).
3*(x - 1)*(11*x - 2)/2
Let q = -1 - -2. Let r be -2 - (-10 - (q + -3)). Factor -r*b**2 + 0*b + b**2 + 2*b + 4*b**2.
-b*(b - 2)
Let d = -2 + 14. Let c = 14 - d. Factor 1/3*s**5 + 0*s**c + 4/3*s**3 + 0 - 4/3*s**4 + 0*s.
s**3*(s - 2)**2/3
Let b = 55/666 - 1/37. Let w(g) be the second derivative of 0 - 1/9*g**3 + b*g**4 - 3*g - 2/3*g**2. What is a in w(a) = 0?
-1, 2
Let t(s) be the third derivative of -s**9/30240 + s**8/6720 + s**7/1680 + 3*s**4/8 + 4*s**2. Let p(m) be the second derivative of t(m). Solve p(z) = 0 for z.
-1, 0, 3
Let a be ((-2)/9)/(20/(-30)). Solve -c**3 - 1/3*c**2 + 0*c + c**5 + 0 + a*c**4 = 0 for c.
-1, -1/3, 0, 1
Solve 2/9*m**4 + 0 + 4/9*m**3 + 0*m - 2/9*m**5 + 0*m**2 = 0 for m.
-1, 0, 2
Let a(y) be the second derivative of -y**4/42 + 6*y**3/7 - 81*y**2/7 + 4*y. Factor a(h).
-2*(h - 9)**2/7
Let y(q) be the second derivative of q**6/225 - 7*q**4/90 - 2*q**3/15 + 22*q. Find v such that y(v) = 0.
-2, -1, 0, 3
Factor 3*o**5 - o**5 - 5*o**5 + 3*o**3.
-3*o**3*(o - 1)*(o + 1)
Suppose -2*t - t = 5*u - 4, 0 = 2*u - 4*t - 12. Factor -6*o - 9*o**u + 4*o**2 - 4 + 3*o**2.
-2*(o + 1)*(o + 2)
Suppose 3 = -5*y + 18. Let x(b) be the first derivative of 0*b - 1 - 1/9*b**y + 1/6*b**2. Factor x(z).
-z*(z - 1)/3
Let h = 9 + -6. Factor -3*s**5 + 6*s**2 + 4 + h*s - 6*s**4 - 1 - 3.
-3*s*(s - 1)*(s + 1)**3
Let q(d) be the second derivative of -d**4/60 - 2*d**3/15 - 3*d**2/10 + 9*d. Determine m so that q(m) = 0.
-3, -1
Let b**3 - 2*b**5 + b - 1/2 + 4*b**2 - 7/2*b**4 = 0. What is b?
-1, 1/4, 1
Let f = 7/234 - 1/234. Let b(q) be the first derivative of 1/13*q**4 - 1/13*q**2 + 0*q**3 + 0*q - f*q**6 + 0*q**5 - 1. Let b(t) = 0. What is t?
-1, 0, 1
Let d(l) be the first derivative of 3/2*l**2 + 2*l + 1/3*l**3 + 2. Factor d(n).
(n + 1)*(n + 2)
Let y = -952 + 2857/3. Suppose -1/3*g**3 + 1/3*g + 0 - 1/3*g**4 + y*g**2 = 0. Calculate g.
-1, 0, 1
Let s(g) = -2*g - 22. Let y be s(-12). Let -1/3 + 1/3*x + x**3 + 5/3*x**y = 0. What is x?
-1, 1/3
Suppose 15 + 1 = 4*i. Solve 42/5*c**2 + 4/5*c**3 + 26/5*c - 16/5*c**i + 4/5 = 0.
-1, -1/2, -1/4, 2
Let m(w) be the second derivative of -w**7/840 + w**6/240 + w**5/20 - w**4/6 - w. Let j(y) be the third derivative of m(y). Factor j(k).
-3*(k - 2)*(k + 1)
Let o(s) = 2*s - 2*s - 4 + s. Let v be o(6). Let -2*f**2 - f + 0*f**4 + f**v + f**3 + f**4 = 0. Calculate f.
-1, 0, 1
Let g(z) = -8*z**5 + 44*z**4 + 10*z**3 + 9*z**2 - 17. Let i(v) = 3*v**5 - 15*v**4 - 3*v**3 - 3*v**2 + 6. Let x(b) = -6*g(b) - 17*i(b). Factor x(h).
-3*h**2*(h + 1)**3
Let x(b) be the third derivative of b**5/15 - 2*b**4/3 + 8*b**3/3 + 5*b**2. Factor x(g).
4*(g - 2)**2
Let x(d) be the first derivative of -1/10*d**5 - 1/36*d**6 - 1/12*d**4 + 1/6*d + 4 + 1/9*d**3 + 1/4*d**2. Let x(r) = 0. What is r?
-1, 1
Let v(y) be the second derivative of 0 - 1/105*y**6 + y - 1/42*y**4 + 0*y**3 + 0*y**2 - 1/35*y**5. Factor v(r).
-2*r**2*(r + 1)**2/7
Let m be (2/(-4))/(1/((-2)/5)). Let x(w) be the first derivative of 0*w**2 + 0*w + 1/3*w**3 + 1/4*w**4 - 1/6*w**6 - m*w**5 - 2. Find r such that x(r) = 0.
-1, 0, 1
Let x(c) be the second derivative of -c**6/75 + c**5/25 - c**4/30 + 8*c. Factor x(q).
-2*q**2*(q - 1)**2/5
Let x(c) be the first derivative of -3*c**4/16 + 3*c**3/2 - 27*c**2/8 + 3. Factor x(n).
-3*n*(n - 3)**2/4
Let n(m) be the third derivative of 0*m**4 + 1/420*m**6 - 1/1176*m**8 + 0*m**7 + 0*m**3 - 3*m**2 + 0*m + 0*m**5 + 0. Factor n(q).
-2*q**3*(q - 1)*(q + 1)/7
Let a(y) = 8*y**3 + 33*y**2 + 9*y - 41. Let s = -10 - -12. Let c(h) = 2*h**3 + 8*h**2 + 2*h - 10. Let m(j) = s*a(j) - 9*c(j). Factor m(d).
-2*(d - 1)*(d + 2)**2
Let p(h) be the third derivative of -h**5/12 - 5*h**4/3 - 40*h**3/3 - 3*h**2. Factor p(l).
-5*(l + 4)**2
Let a(x) be the second derivative of 3*x**7/14 - x**6/5 - 2*x**5/5 + x**4/2 - x**3/6 + 6*x. Let a(z) = 0. What is z?
-1, 0, 1/3, 1
Find r such that -3*r + 20*r**3 - 8*r**3 + 0*r**5 - 3*r**5 - 6*r**3 = 0.
-1, 0, 1
Factor 36/7*l**2 - 2/7*l**3 - 192/7*l + 256/7.
-2*(l - 8)**2*(l - 2)/7
Let s(b) be the third derivative of b**5/180 - b**4/72 + 7*b**2. Factor s(x).
x*(x - 1)/3
Suppose -r + 6 = -0*r. What is o in -o**4 + 0 + 4*o**4 - r*o**2 + 3 = 0?
-1, 1
Let j(v) be the third derivative of v**6/90 + v**5/60 + v**4/96 - 2*v**3/3 - 3*v**2. Let t(z) be the first derivative of j(z). Let t(g) = 0. Calculate g.
-1/4
Let w(f) = -11*f + 143. Let g be w(13). Let 0 + i**3 + 1/2*i**4 + g*i + 1/2*i**2 = 0. Calculate i.
-1, 0
Let u(k) be the second derivative of -1/48*k**4 + 0*k**2 + 0*k**3 + 0 - 3*k. Factor u(t).
-t**2/4
Suppose 4*q - 6*q = 8*q. Let s(r) be the second derivative of -r - 1/3*r**4 + q - 1/10*r**5 + 0*r**3 + 0*r**2. Factor s(l).
-2*l**2*(l + 2)
Let w(j) = 5*j**4 - 5*j**3 - 30*j**2 + 40*j - 10. Let d(z) = -5*z**4 + 4*z**3 + 30*z**2 - 40*z + 11. Let c(y) = -5*d(y) - 4*w(y). Factor c(k).
5*(k - 1)**3*(k + 3)
Factor -2*b + 4*b**4 - 8 + 6*b**2 + 12*b**3 - 9*b - b - 2*b**2.
4*(b - 1)*(b + 1)**2*(b + 2)
Let s(t) = -2*t**4 + 6*t**3 + 2*t**2 - 2*t - 4. Let w(i) = 2*i**4 - 7*i**3 - 2*i**2 + 2*i + 5. Let h(q) = -5*s(q) - 4*w(q). Factor h(o).
2*o*(o - 1)**2*(o + 1)
Let l = 34 - 27. Let q(c) be the third derivative of 0*c**3 + 0 + c**2 + 1/36*c**4 + 0*c - 1/36*c**5 + 1/90*c**6 - 1/630*c**l. Determine o so that q(o) = 0.
0, 1, 2
Let x = -3 - -6. Suppose -x*k + 8 = k. Suppose 0 + q + 3/2*q**3 + 5/2*q**k = 0. Calculate q.
-1, -2/3, 0
Let 2 - 6*w + 3*w**2 + 10*w**2 - 27*w**2 + 6 = 0. What is w?
-1, 4/7
Let j be 3/6*(-4 + 4). Let y(o) be the second derivative of 4*o - 3/20*o**5 - 1/10*o**6 + 0 + 0*o**2 + j*o**3 + 0*o**4. Solve y(t) = 0 for t.
-1, 0
Let b(q) be the third derivative of 5*q**2 + 0 - 1/18*q**5 + 1/36*q**4 + 0*q**3 + 0*q + 1/45*q**6. Factor b(f).
2*f*(f - 1)*(4*f - 1)/3
Let z(i) be the first derivative of i**3/12 + 9*i**2/4 + 81*i/4 + 9. Factor z(x).
(x + 9)**2/4
Let a(r) be the first derivative of 0*r + 1/3*r**6 - 5 + 2/3*r**3 - 2/5*r**5 + 0*r**2 - 1/2*r**4. Factor a(k).
2*k**2*(k - 1)**2*(k + 1)
Factor 3*o**2 + 0 + 2/3*o.
o*(9*o + 2)/3
Let m be 1*(-5)/(-50) + 4/10. Let d(g) be the second derivative of -1/6*g**3 - 2*g + m*g**2 - 5/48*g**4 + 3/80*g**5 + 0. Factor d(l).
(l - 2)*(l + 1)*(3*l - 2)/4
Suppose 0 = 5*t - 0*l - 2*l - 30, -2*l = 4*t - 6. Factor 4*u**2 + 1 + 1 - 2*u**4 - t.
-2*(u - 1)**2*(u + 1)**2
Let o(c) = -c + 7. Let w be o(5). Let z(x) = 5*x**3 + 7*x**2 + 2*x - 3. Let u(g) = -4*g**3 - 6*g**2 - 2*g + 2. Let v(t) = w*z(t) + 3*u(t). Solve v(n) = 0.
-1, 0
Factor 0 + 2/5*k**2 + 2*k.
2*k*(k + 5)/5
Let g(k) be the third derivative of k**5/40 - k**4/8 + k**3/4 + 7*k**2. Determine v, given that g(v) = 0.
1
Suppose -3*s + 3 = -4*s. Let u be (-1)/(-1 - -2)*s. Factor 2*b + 0*b**3 + 3*b**u - 4*b**2 - b**3.
2*b*(b - 1)**2
Let m(y) be the third derivative of -y**8/2240 - y**7/420 - y**6/240 + y**4/24 - y**2. Let g(t) be the second derivative of m(t). What is l in g(l) = 0?
-1, 0
Find w such that 3/5*w**3 + 0 - 6/5*w**5 + 3/5*w + 9/5*w**2 - 9/5*w**4 = 0.
-1, -1/2, 0, 1
Suppose 20*o + 5*o**3 + 21 - 25*o**2 - 21 = 0. Calculate o.
0, 1, 4
Let z(s) = s**2 - 4*s - 1. Suppose 5*j - 3*o - 22 = 0, -2*j + 3*o = -4 - 3. Let g be z(j). Factor -w**3 + 10*w**3 + g*w**2 + w**3.
2*w**2*(5*w + 2)
Let o(r) = -r**3 - r**2 - r + 2. Let z be o(0). Find b such that -4*b + 2*b**z + 4 - 4 = 0.
0, 2
Suppose 3*l + 8 = 7*l. Solve 9*q**3 - 3*q**5 + 6*q**l + 0 + 2 - 2 = 0.
-1, 0, 2
Let h(k) be the first derivative of 4*k**5/15 + k**4/4 - 17*k**3/9 - 2*k**2 + 4*k/3 - 65. Let h(x) = 0. Calculate x.
-2, -1, 1/4, 2
Let l = -49 - -155/3. Factor l*r**4 + 2*r**5 + 0*r - 4/3*r**2 + 0 - 2/3*r**3.
2*r**2*(r + 1)**2*(3*r - 2)/3
Suppose 4*y = 2*y - 8. Let b(u) = u + 4. Let z be b(y). Factor -2/5*h**4 + 4/5*h**2 + z*h**3 + 0*h - 2/5.
-2*(h - 1)**2*(h + 1)**2/5
Suppose 0 = -v + 5*v -