+ 8*w**2 + 2/3*w**3.
2*(w + 1)**2*(w + 10)/3
Let k be (6/(-25))/(24/15). Let m = k - -49/60. Factor m*i - 4/9*i**3 + 2/9 - 2/9*i**5 - 2/3*i**4 + 4/9*i**2.
-2*(i - 1)*(i + 1)**4/9
Let i(k) be the second derivative of 0*k**3 + 0*k**4 + 0*k**2 + 2/45*k**6 + k + 0 - 1/63*k**7 - 1/30*k**5. Suppose i(v) = 0. Calculate v.
0, 1
Suppose -3*x + 18 = -6. Let a be 30/x + 2/8. Suppose v**2 + v**2 + 2*v - a*v**3 + 0*v = 0. What is v?
-1/2, 0, 1
Let z(g) = -3*g**4 + 22*g**3 + 108*g**2 + 216*g + 4. Let o(t) = -2*t**4 + 21*t**3 + 108*t**2 + 216*t + 3. Let f(y) = 4*o(y) - 3*z(y). Factor f(c).
c*(c + 6)**3
Factor -3/2*w**2 - 3/8*w**3 + 15/8*w + 0.
-3*w*(w - 1)*(w + 5)/8
Let w(a) = -2*a + 2*a - 2*a**3. Let x be w(-1). Factor 2*s**2 + 5*s**3 + x*s - 6*s**2 - 3*s**3.
2*s*(s - 1)**2
Determine c, given that 11 + 16 - 3*c**2 + 0*c**2 = 0.
-3, 3
Let c(o) be the first derivative of o**4/3 - 2*o**3/9 + 8. Factor c(u).
2*u**2*(2*u - 1)/3
Find t, given that -2 - 4*t**3 + 0*t**3 + 240*t - 2*t**4 + 2*t**5 - 238*t + 4*t**2 = 0.
-1, 1
Factor y - 28*y**4 - 48*y**3 - 603*y**2 + 591*y**2 + 7*y.
-4*y*(y + 1)**2*(7*y - 2)
Let k(j) be the first derivative of -j**6/36 - j**5/10 - j**4/12 + j**3/9 + j**2/4 + j/6 - 9. Solve k(q) = 0 for q.
-1, 1
Let r(o) be the second derivative of 56*o**6/3 - 90*o**5 - 1645*o**4/12 - 75*o**3 - 20*o**2 + 24*o + 1. Solve r(f) = 0.
-2/7, -1/4, 4
Determine o, given that -3/7*o**2 - 5/7*o**4 - 1/7*o**5 + 0*o + 0 - o**3 = 0.
-3, -1, 0
Let r = -7 + 7. Let s(m) be the first derivative of -1/15*m**5 - 1/6*m**4 - 1/9*m**3 + 0*m + r*m**2 + 2. Factor s(p).
-p**2*(p + 1)**2/3
Suppose 0 = -3*y + g + 13, -2*y + 5*g + 26 = -0*y. Suppose y*z + 8 = c - z, -4*z = c + 8. Factor -3*i**4 - i**3 + 4*i**3 + 2*i**5 - i**5 - i**2 + c*i**3.
i**2*(i - 1)**3
Let g(o) = -o**3 - 10*o**2 - 10*o - 7. Let u be g(-9). Let -2/3*n**5 - 4/3*n**4 + 0*n**3 + 4/3*n**u + 0 + 2/3*n = 0. What is n?
-1, 0, 1
Let j be -1*2*5/(-2). Let a = j + -1. Factor 15*c**2 + 2*c - c**2 - 2*c + a*c.
2*c*(7*c + 2)
Let t(k) be the second derivative of k**6/45 - 2*k**5/15 + 2*k**4/9 - 3*k. Find g such that t(g) = 0.
0, 2
Let d(a) be the first derivative of -a**6/9 + a**4/6 - 8. Determine c so that d(c) = 0.
-1, 0, 1
Factor 0*s**4 + 0 + 1/5*s + 1/5*s**5 - 2/5*s**3 + 0*s**2.
s*(s - 1)**2*(s + 1)**2/5
Let v(z) = -2*z**2 + 4 + 3*z**2 - 2*z**2 + z + 2. Let o be v(0). Factor o*f**2 - 2*f + 2*f**3 - 4 - 4*f**2 + 2*f**2 + 0*f.
2*(f - 1)*(f + 1)*(f + 2)
Suppose -10*s = -8*s - 8. Let x(j) be the third derivative of 0*j**3 + 0*j**7 + 0 + 0*j**s + 0*j + 0*j**6 + 0*j**5 - 2*j**2 + 1/168*j**8. Factor x(i).
2*i**5
Let a(f) = -5*f + 9 + 8*f**2 + 6*f + 0*f**2 + 3*f. Let q(d) be the first derivative of -d**3/3 - d**2/2 - d + 1. Let m(u) = 2*a(u) + 22*q(u). Factor m(j).
-2*(j + 2)*(3*j + 1)
Let q be (20/45)/((-4)/(-6)). Let h(c) be the second derivative of -7/20*c**5 + q*c**4 + 0 + 0*c**2 - c - 2/9*c**3 - 49/90*c**6. Find k such that h(k) = 0.
-1, 0, 2/7
Let o(v) = 4*v**2 - 3*v + 2. Let n be o(1). Let l(m) = -m**3 - 3*m**2 + 2*m - 5. Let f be l(-4). Factor -5*r**f + 2*r**n + 2*r**5 + r**3.
2*r**3*(r - 1)*(r + 1)
Let h(w) be the third derivative of 0*w**7 + 0*w**3 + 0*w**5 + 1/60*w**6 - 1/336*w**8 + 0 + 0*w - w**2 - 1/24*w**4. Determine x, given that h(x) = 0.
-1, 0, 1
Factor -1/4*l - 1/4*l**2 + 1/2.
-(l - 1)*(l + 2)/4
Suppose -5*c + 2 = -4*c. Find s, given that 4*s**c + 48*s - 48*s - 4 = 0.
-1, 1
Suppose -4*u = -2*u. Factor -1/4*s**2 + 1/4*s**4 + u*s**3 + 0*s + 0.
s**2*(s - 1)*(s + 1)/4
Let t = -318 + 318. Find c such that t + 1/6*c**2 - 1/2*c = 0.
0, 3
Let -4/7*l + 0 + 2/7*l**2 = 0. What is l?
0, 2
Let n(x) be the first derivative of x**4/12 + x**3/3 + x**2/2 - 3*x - 2. Let t(j) be the first derivative of n(j). Factor t(r).
(r + 1)**2
Suppose -2*l**3 - 4*l + 2*l**2 + l**2 + 3*l = 0. Calculate l.
0, 1/2, 1
Let p(g) be the second derivative of g**6/165 - 3*g**5/110 + g**4/33 - 5*g. Find h, given that p(h) = 0.
0, 1, 2
Let r(u) be the second derivative of -u**8/840 - u**7/140 - u**6/90 + u**3/3 - 5*u. Let y(t) be the second derivative of r(t). Solve y(k) = 0 for k.
-2, -1, 0
Let t = 226/175 + -18/25. Let y be -4 - 12/14*-5. Suppose t*n**2 - y*n + 0 - 2/7*n**3 = 0. What is n?
0, 1
Find b such that 126 + 121*b**2 - 56 - 44*b - 66 = 0.
2/11
Let m = 13 + -7. Solve -3*o**2 + 31 - 31 - 3*o**4 - m*o**3 = 0.
-1, 0
Let n(m) be the first derivative of m**4/14 - 2*m**3/21 - 1. Factor n(g).
2*g**2*(g - 1)/7
Let j(f) be the second derivative of 0 + 0*f**6 - f + 1/14*f**7 + 0*f**3 + 0*f**4 + 0*f**2 - 3/20*f**5. Let j(i) = 0. Calculate i.
-1, 0, 1
Suppose 45/2*p**4 + 5*p**3 - 10*p**5 + 5*p - 45/2*p**2 + 0 = 0. Calculate p.
-1, 0, 1/4, 1, 2
Factor 2/23*n - 2/23*n**4 + 0 - 6/23*n**2 + 6/23*n**3.
-2*n*(n - 1)**3/23
Let z(g) be the second derivative of 0*g**2 - 5/12*g**4 - 1/3*g**3 + 0 - 1/30*g**6 - 1/5*g**5 + g. Factor z(l).
-l*(l + 1)**2*(l + 2)
Let r(v) = 2*v + 2*v**2 - 3*v**2 + 7*v. Let h be r(9). Factor 0*y**2 + 0*y - 1/2*y**4 + 0 + h*y**3 - 7/4*y**5.
-y**4*(7*y + 2)/4
Let x = -11 - -13. What is c in c**x + 12*c - c**2 + 16 + 2*c**2 + 2 = 0?
-3
Let q(o) be the first derivative of -9*o**4/10 + 8*o**3/5 - 4*o**2/5 + 3. Factor q(v).
-2*v*(3*v - 2)**2/5
Let p(q) be the first derivative of 1 + 4/3*q + 1/3*q**2 - 2/9*q**3. Factor p(k).
-2*(k - 2)*(k + 1)/3
Let f = -148/3 - -50. Suppose -2/3*b**4 + 4/3*b**3 - f*b - 2/3 - 2/3*b**5 + 4/3*b**2 = 0. What is b?
-1, 1
Let d(p) = p**3 - p**2 + 1. Let g be ((-6)/(-9))/(2/3). Let a(i) = 9*i**3 + 6. Let w(z) = g*a(z) - 6*d(z). Suppose w(y) = 0. Calculate y.
-2, 0
Let y(r) = 30*r - 5*r + 44 - 10 - 4*r**2. Let u(t) = t**2 - 8*t - 11. Let m(g) = 14*u(g) + 4*y(g). Factor m(p).
-2*(p + 3)**2
Let v = 14 + -8. Suppose 0 = 2*n - v*n + 8. Let -4*l**2 - 4 + n*l - 8*l + 2*l**2 = 0. Calculate l.
-2, -1
Let t = 105 + -103. Let v be 3/2*(-1)/(-6). Suppose 1/2*k**t + v*k + 0 - 2*k**3 = 0. Calculate k.
-1/4, 0, 1/2
Let u(h) be the first derivative of -h**5/15 + h**4/3 - h**3/3 - 44. What is b in u(b) = 0?
0, 1, 3
Let u be (-38)/(-6) - 5/15. Factor -g**2 - 3*g + 3*g**3 - 2*g**2 + u*g**4 - 3*g**4.
3*g*(g - 1)*(g + 1)**2
Let w(d) = 2*d**2 + 22*d + 3. Let z be w(-11). Let v(y) be the first derivative of -1/8*y**2 + 0*y**z - 1 + 0*y + 1/16*y**4. Factor v(k).
k*(k - 1)*(k + 1)/4
Let r(k) be the second derivative of -2*k**2 + 4*k - 1/20*k**5 - 5/12*k**4 - 4/3*k**3 + 0. Factor r(z).
-(z + 1)*(z + 2)**2
Let k = 3 - 2. Let u be (k - 1) + (-2 - -4). Factor -3*y**2 + 2*y**3 + 5*y**u + 0*y**3.
2*y**2*(y + 1)
Factor 14/3*s + 2*s**2 + 4/3.
2*(s + 2)*(3*s + 1)/3
Let i(h) = -4*h**2 + 56*h + 2. Let w be i(14). Let 0 - 1/4*q**w + 1/4*q**3 + 1/4*q**4 - 1/4*q**5 + 0*q = 0. What is q?
-1, 0, 1
What is b in 0 - 9*b + 8/3*b**4 + 0*b**2 + 6*b**3 + 1/3*b**5 = 0?
-3, 0, 1
Factor 0*u**2 - 1/4*u**3 + 0 + 1/4*u.
-u*(u - 1)*(u + 1)/4
Let w(h) = -h + 5. Let c be w(8). Let j be (-2)/(-6) + 1/c. Factor o**2 + j*o**2 + 4*o + 1 + 3.
(o + 2)**2
Let -4*v**4 - 4*v - 13*v**2 + 17*v**2 + 2*v**3 + 2*v**3 = 0. Calculate v.
-1, 0, 1
Let o = -2 + 17/8. Let b(v) be the first derivative of -o*v**4 + 3 + 0*v**3 + 1/4*v**2 + 0*v. Let b(r) = 0. What is r?
-1, 0, 1
Suppose -h = -3*h. Factor 2/5*k**2 + h*k + 32/5*k**4 + 0 - 16/5*k**3.
2*k**2*(4*k - 1)**2/5
Let l(j) be the third derivative of -j**7/360 + j**6/60 + j**5/30 - j**4/6 + 3*j**2. Let n(i) be the second derivative of l(i). Let n(g) = 0. What is g?
-2/7, 2
Let q(k) be the first derivative of -1/36*k**6 + 5 + 0*k**4 + 0*k + 1/30*k**5 + 0*k**3 + 0*k**2. Factor q(w).
-w**4*(w - 1)/6
Let u = 247122 - 103791143/420. Let p = 2/105 + u. Factor p*l**2 + 0*l - 1/4.
(l - 1)*(l + 1)/4
Suppose 3*o - 20 = -5, -10 = 4*n - 2*o. Let r(a) be the first derivative of 0*a - 1/3*a**3 - 1/2*a**4 - 1/5*a**5 + n*a**2 + 3. Let r(y) = 0. What is y?
-1, 0
Let b be (-6 + 2)*(1 + 1). Let c be b/(-2)*(-9)/(-12). Factor -2/9 - 2/9*n**c - 2/3*n**2 - 2/3*n.
-2*(n + 1)**3/9
Factor -4*r**3 - 17 + 36*r - 7 - 12*r**2 + 4.
-4*(r - 1)**2*(r + 5)
Let f(z) be the second derivative of -2/3*z**2 + 0 - 1/9*z**3 + 1/18*z**4 + 3*z. Solve f(d) = 0 for d.
-1, 2
Let d(g) be the third derivative of g**9/6048 + g**8/1120 + g**7/560 + g**6/720 - g**3/2 - 2*g**2. Let c(i) be the first derivative of d(i). Factor c(x).
x**2*(x + 1)**3/2
Let g(x) be the third derivative o