2 + b - 2*b**4.
-2*(b - 2)**3*(b + 1)
Find f, given that -3*f**5 - 24*f + 18*f**3 + f**3 - 12*f**2 + 3*f**4 - f**3 = 0.
-2, -1, 0, 2
Let g be (0/(-15))/((3*-2)/2). Let x(w) be the second derivative of 0*w**3 + 0*w**2 - 3*w + 2/15*w**6 + 0*w**4 + g + 1/10*w**5 + 1/21*w**7. Factor x(q).
2*q**3*(q + 1)**2
Let o be 6*(4 + (-306)/81). Factor -9/2*s**3 + 9*s**2 + o - 6*s.
-(3*s - 2)**3/6
Suppose -14 - 1 = -5*p. Let l(g) be the first derivative of 0*g + 0*g**2 - 2/21*g**p + 2 + 1/7*g**4 + 6/35*g**5. Factor l(i).
2*i**2*(i + 1)*(3*i - 1)/7
Suppose 96 = -5*w + 4*w. Let i = w - -482/5. What is t in -i*t - 2/5*t**3 + 0 - 4/5*t**2 = 0?
-1, 0
Let w(p) be the third derivative of -p**8/60480 + p**7/7560 - p**5/60 - 3*p**2. Let h(o) be the third derivative of w(o). Factor h(r).
-r*(r - 2)/3
Let x(z) be the third derivative of -z**8/84 - 17*z**7/210 - z**6/5 - 13*z**5/60 - z**4/12 + 3*z**2. Find k such that x(k) = 0.
-2, -1, -1/4, 0
Let -13/4*v + 1/2 + 11/4*v**2 = 0. Calculate v.
2/11, 1
Let a(k) be the third derivative of 0*k - 3*k**2 - 1/8*k**4 + 1/60*k**5 + 0 + 1/3*k**3. Suppose a(n) = 0. What is n?
1, 2
Let j(m) = -m**2 - 4*m + 3. Let p(q) = q**2 + q - 1. Let u(g) = -5*j(g) - 10*p(g). Factor u(l).
-5*(l - 1)**2
Let x be 5/12 - 14/(-56). Factor 0 + x*q**2 - 2/3*q.
2*q*(q - 1)/3
Let c = 131 + -127. Let q(m) be the third derivative of 1/180*m**5 + 0 + 1/36*m**c + 0*m**3 + 0*m - 3*m**2. Factor q(k).
k*(k + 2)/3
Suppose -3*m + 0*m - 5*i = -31, -m = 4*i - 22. Suppose 2*w**2 - w**m + 4 - 4*w + w**2 - w**2 = 0. Calculate w.
2
Let h(v) = -6*v - 4. Let r be h(-3). Let x be 57/21 + 4/r. Factor 5*j**2 + 2*j - 1 - x*j**2 + 0 - 3*j**2.
-(j - 1)**2
Suppose -2*f - 6 = -34. Suppose -2*d + f = -3*y, 2*d + 4*y - 2 = y. Suppose -4/3*g**2 + 0*g + 0 + d*g**3 - 3*g**4 = 0. What is g?
0, 2/3
Let i(g) be the third derivative of 0 - 1/3*g**3 + 1/8*g**4 + 0*g - 3*g**2 - 1/60*g**5. Solve i(k) = 0.
1, 2
Suppose -j**2 - 2*j**2 + 0*j - 3 - 4*j**3 + 9*j - 5*j**3 + 6*j**4 = 0. What is j?
-1, 1/2, 1
Factor 0 + 0*g**2 + 0*g + 2/3*g**3.
2*g**3/3
Let b(o) = -17*o**2 + 8*o + 16. Let v(r) be the second derivative of r**4/3 - r**3/3 - 2*r**2 - 3*r. Let k(x) = 2*b(x) + 9*v(x). What is h in k(h) = 0?
-1, 2
Suppose 2*o + 0*d = -3*d, d + 11 = 3*o. Factor -2*u + 2*u**2 - 4 - 3*u**2 + 0*u + o*u**2.
2*(u - 2)*(u + 1)
Let q(x) be the first derivative of x**4/2 - 3*x**2 + 4*x + 14. Find c such that q(c) = 0.
-2, 1
Let o = 23 + 16. Suppose s - 37 = -3*h, -3*s + 6*s = -3*h + o. Factor 0 - h*n**2 + 9*n + 0 - 2 + 5*n**3.
(n - 1)**2*(5*n - 2)
Let x be -1*(-5)/2*2. Find t, given that -x*t**2 + 3*t**2 - 2*t**2 - 2*t + 1 + 5*t**2 = 0.
1
Factor 6*c**5 + 32 + 7*c**5 - 112*c - 17*c**5 + 22*c**4 - 86*c**3 + 2*c**5 + 146*c**2.
-2*(c - 4)**2*(c - 1)**3
Suppose -4*x - 8 = 2*s, s - 2*x = 5 - 1. Factor 1/4*v**3 - 1/2*v**2 + 0 + s*v.
v**2*(v - 2)/4
Let a(z) = -5 + 7 + 7 + 5*z + z**2. Suppose 0 = 5*x - x - 20. Let q(p) = -2*p**2 - 8*p - 13. Let s(o) = x*q(o) + 7*a(o). Factor s(h).
-(h + 1)*(3*h + 2)
Let n(o) = 4*o**2 - 4. Let l(s) = 5*s**2 - s - 4. Let c(h) = -6*l(h) + 7*n(h). Solve c(u) = 0.
1, 2
Let r(s) be the third derivative of s**2 + 0*s**3 + 0 + 0*s - 1/300*s**6 + 1/60*s**4 + 0*s**5. Solve r(q) = 0 for q.
-1, 0, 1
Let a(u) be the first derivative of u**4/2 + 8*u**3/3 + 5*u**2 + 4*u + 29. Suppose a(f) = 0. What is f?
-2, -1
Let s = -1/24486 - 177511/306075. Let r = -2/25 - s. Let 0 - 1/2*k**2 + r*k**4 + 0*k**3 - 1/4*k + 1/4*k**5 = 0. What is k?
-1, 0, 1
Let q(v) = -v - 8. Let h be q(-8). Suppose h = -y + 5*y - 8. Factor o**4 - 2*o**4 + 4*o**y - o**4 - 2.
-2*(o - 1)**2*(o + 1)**2
Let h(q) be the second derivative of 5*q**8/336 - q**7/105 - q**6/24 + q**5/30 + q**2 + 3*q. Let a(k) be the first derivative of h(k). Factor a(l).
l**2*(l - 1)*(l + 1)*(5*l - 2)
Let w(j) be the second derivative of j**6/70 - 3*j**5/140 + j. Factor w(f).
3*f**3*(f - 1)/7
Let -18/17 - 10/17*w**4 - 6/17*w + 2/17*w**5 + 28/17*w**2 + 4/17*w**3 = 0. What is w?
-1, 1, 3
Let q = -405784 + 75070702/185. Let t = 4/185 + q. Factor t*m**2 + 8/5 + 24/5*m.
2*(3*m + 2)**2/5
Suppose 4*g + g = 25. Let l(t) = t - 3. Let c be l(g). Let -9*r**3 + 7*r**5 + r + 2*r - 5*r**4 - r + 5*r**c = 0. What is r?
-1, -2/7, 0, 1
What is u in 3/7*u**3 - 15/7*u**2 + 0 + 12/7*u = 0?
0, 1, 4
Let i(v) be the third derivative of 0 + 1/480*v**6 + 0*v**5 + 0*v**4 - v**2 + 0*v + 1/420*v**7 + 1/1344*v**8 + 0*v**3. Find r such that i(r) = 0.
-1, 0
Suppose -d - m = 3 - 5, -5*d - 4*m + 8 = 0. Suppose d*n - 2/3*n**2 + 2/3*n**5 + 0 - 2/3*n**3 + 2/3*n**4 = 0. What is n?
-1, 0, 1
Let z(p) = p + 4. Let c be z(-2). Suppose -2*a**2 + c*a**3 - a**3 + 4*a - 3*a = 0. What is a?
0, 1
Let y(b) be the first derivative of b**4/2 + 10*b**3 + 75*b**2 + 250*b + 20. Let y(g) = 0. Calculate g.
-5
Let z(h) be the third derivative of -4/3*h**3 + 0*h + 1/6*h**4 + 0 + h**2 - 1/120*h**6 + 1/30*h**5. Let z(w) = 0. Calculate w.
-2, 2
Let d be (-59)/(-18) + (-9)/18. Let w(z) be the first derivative of 5/3*z**2 - 5/3*z**4 - 1/3*z + 32/9*z**6 + 2 - d*z**3 + 16/3*z**5. Factor w(r).
(r + 1)**2*(4*r - 1)**3/3
Let 3*g**3 - 5*g + 3*g**4 - 5*g**2 + 2*g**2 + 2*g = 0. What is g?
-1, 0, 1
Suppose 2/13*a + 2/13*a**4 + 0 + 6/13*a**3 + 6/13*a**2 = 0. What is a?
-1, 0
Let g be 1 - (-4 - -1)*1. What is f in 2*f**4 - 32*f**3 + 96*f**2 + 64 - 67*f - 61*f - 6*f**4 + 8*f**g = 0?
2
Suppose 0 = -4*b + b + 33. Let z(x) = -x**3 + 5*x**2 + 8*x - 8. Let j be z(6). What is a in 13*a**3 + 2*a + a**2 + b*a**3 - 8*a + 1 + 16*a**j = 0?
-1, 1/4
Let r(s) be the third derivative of -s**7/315 - s**6/90 + s**5/30 + s**2. Factor r(o).
-2*o**2*(o - 1)*(o + 3)/3
Let x(u) be the second derivative of -1/90*u**6 + 0*u**5 + 0 + 0*u**3 + 0*u**4 + 1/126*u**7 + 0*u**2 + u. Factor x(b).
b**4*(b - 1)/3
Let l be ((-105)/(-14))/((-2)/(-12)). Suppose -l*c**4 + 41*c**4 - 5*c**3 - 3*c**3 + 16*c**2 + 2*c**5 = 0. Calculate c.
-2, 0, 2
Let u(l) be the first derivative of -1/12*l**4 - 1/30*l**5 + 0*l + 1/2*l**2 + 2/3*l**3 + 1. Let m(b) be the second derivative of u(b). Factor m(t).
-2*(t - 1)*(t + 2)
Let c(a) = -a - 1. Let r be c(-4). What is q in 3*q + 0*q**2 - 9*q - 3*q**2 + r*q**3 = 0?
-1, 0, 2
Let s(l) be the third derivative of -l**8/112 - l**7/70 + 3*l**6/40 + l**5/20 - l**4/4 + 6*l**2. Find q such that s(q) = 0.
-2, -1, 0, 1
Solve 0 - 2/5*y**3 + 8/5*y**2 + 2*y = 0 for y.
-1, 0, 5
Let w(g) be the third derivative of -g**7/210 + g**6/120 + g**5/20 - g**4/24 - g**3/3 + 2*g**2. Solve w(a) = 0.
-1, 1, 2
Let d(w) = -6*w**2 - 132*w + 153. Let h(s) = s**2 + 19*s - 22. Let k(n) = 4*d(n) + 27*h(n). Factor k(a).
3*(a - 3)*(a - 2)
Let b be (4 + -6)/((-1)/(-2)). Let j be 5/(30/b) - -1. Factor -1/3*k**3 + 0*k + 0 + 1/3*k**2 - j*k**4 + 1/3*k**5.
k**2*(k - 1)**2*(k + 1)/3
Let z(r) be the second derivative of r**7/12600 + r**4/3 + r. Let b(s) be the third derivative of z(s). Let b(u) = 0. Calculate u.
0
Let r(o) be the second derivative of -o**4/6 - o**3/3 - o. Solve r(y) = 0 for y.
-1, 0
Let u(q) be the first derivative of -q**4/28 + 2*q**3/21 + 3*q**2/14 + 17. Factor u(m).
-m*(m - 3)*(m + 1)/7
Suppose -2*i - 2*s + 13 + 1 = 0, -4*s = -5*i + 26. Let l(g) be the third derivative of 1/30*g**5 - 2*g**2 + 0*g**3 + 1/120*g**i + 0*g**4 + 0 + 0*g. Factor l(j).
j**2*(j + 2)
Let m(p) be the first derivative of 0*p**2 - 1 + 0*p - 2/5*p**5 + 1/6*p**6 + 0*p**4 + 0*p**3. Factor m(v).
v**4*(v - 2)
Let z = -301/2 + 151. Factor 3/2*k**3 - 1 + 1/2*k**4 + z*k**2 - 3/2*k.
(k - 1)*(k + 1)**2*(k + 2)/2
Let h(u) be the third derivative of 3*u**2 + 1/6*u**5 - 1/60*u**6 - 2/3*u**4 + 0*u + 4/3*u**3 + 0. Suppose h(v) = 0. Calculate v.
1, 2
Factor 8 - 14 - 33*k**2 + 18 + 12*k - 18*k**3 + 27*k**4.
3*(k - 1)**2*(3*k + 2)**2
Let j be 3 - (-3 - -11) - 0. Let a(s) = 11*s**3 + 3*s**2 - 7*s + 1. Let g(l) = 5*l**3 + 2*l**2 - 3*l. Let m(y) = j*g(y) + 2*a(y). Factor m(o).
-(o + 1)**2*(3*o - 2)
Let a(m) be the first derivative of m**6/30 + m**5/5 + m**4/2 + 2*m**3/3 + m**2/2 + m/5 - 6. Find p, given that a(p) = 0.
-1
Let l(z) = 7*z**2 + 10*z - 3. Let o(x) = -x**2 - x + 1. Let u(m) = -2*m**3 - m**2 + m + 1. Let k be u(-1). Let h(d) = k*l(d) + 5*o(d). Factor h(a).
(a + 2)*(2*a + 1)
Let u(x) = -6*x + 12. Let k be u(2). Let r(c) be the second derivative of 0 - 1/3*c**3 - 7/12*c**4 + k*c**2 - 1/4*c**5 - 3*c. Let r(g)