/15*g**3 + 1/25*g**5 + 0*g**4. Factor x(t).
-2*t*(t - 1)**2*(t + 1)**2/5
Let t = 7 + -5. Factor -d**4 + 0*d**3 + 2*d**3 - 3*d**4 + d**3 + d**t.
-d**2*(d - 1)*(4*d + 1)
Factor -34*x - 6 + 13*x - 28*x**3 + 64*x**3 - 10*x**2 + 31*x**2.
3*(x + 1)*(3*x - 2)*(4*x + 1)
Let k(w) be the second derivative of 4*w**4/21 + 3*w**3/7 + w**2/7 - 17*w. Factor k(c).
2*(c + 1)*(8*c + 1)/7
Let d(g) be the second derivative of -6*g**6/5 - 3*g**5 - 7*g**4/3 - 2*g**3/3 - 2*g. Factor d(k).
-4*k*(k + 1)*(3*k + 1)**2
Let q be (-2 + -3)*20/(-25). Factor 6/7*s**q + 0 + 0*s + 10/7*s**3 + 4/7*s**2.
2*s**2*(s + 1)*(3*s + 2)/7
Let r = 41 - 39. Let p(a) be the third derivative of -1/300*a**5 + 0*a**4 + 0*a**3 - 1/350*a**7 - 1/200*a**6 - r*a**2 + 0*a - 1/1680*a**8 + 0. Factor p(f).
-f**2*(f + 1)**3/5
Let x(h) be the second derivative of -h**6/24 - 7*h**5/90 + h**4/24 + h**3/9 - 3*h**2/2 - 3*h. Let v(u) be the first derivative of x(u). Factor v(g).
-(g + 1)*(3*g + 1)*(5*g - 2)/3
Let v(f) be the second derivative of -f**5/30 + f**4/6 - f**3/3 - 9*f**2/2 + 3*f. Let i(w) be the first derivative of v(w). Factor i(m).
-2*(m - 1)**2
Let a(b) be the third derivative of 0*b - 1/112*b**8 + 0*b**4 + 1/40*b**6 - 1/20*b**5 - b**2 + 1/70*b**7 + 0*b**3 + 0. Factor a(x).
-3*x**2*(x - 1)**2*(x + 1)
Let m(l) = l - 5. Let q be m(7). Factor 5*y**2 - 3*y**q + 8 + 9*y - 17*y.
2*(y - 2)**2
Let i(u) = -u**2 + 6*u - 5. Let r(z) be the third derivative of -z**5/60 + 5*z**4/24 - 2*z**3/3 + 3*z**2. Let k(c) = -3*i(c) + 4*r(c). Factor k(p).
-(p - 1)**2
Let h be 2/((-15)/(-6)*1). Find w, given that -6/5*w + 2/5*w**5 - 2/5 - h*w**2 + 4/5*w**3 + 6/5*w**4 = 0.
-1, 1
Suppose -6*z = -z - 25. Let t(w) be the second derivative of 0 + 0*w**4 - 1/20*w**z - 3*w + 0*w**2 + 0*w**3 - 1/30*w**6. Factor t(p).
-p**3*(p + 1)
Let m(a) be the first derivative of a**6/8 - a**5/10 + 5*a**2/2 + 2. Let o(w) be the second derivative of m(w). Factor o(f).
3*f**2*(5*f - 2)
Let i(f) = f**4 + f**3 + f**2 + f. Let o(a) = 2*a**3 + 8*a**2 + 4*a - 2. Let k(g) = 3*i(g) - o(g). Suppose k(l) = 0. What is l?
-1, 2/3, 1
Suppose 4*d = d - 2*i, 5*d = 4*i. Let o(z) be the third derivative of -3*z**2 + 1/24*z**4 - 1/60*z**5 + d + 1/3*z**3 + 0*z. Suppose o(h) = 0. What is h?
-1, 2
Let k be (348/28 - 13)/((-12)/14). Factor 0 - 2/3*q**3 - 4/3*q**2 - k*q.
-2*q*(q + 1)**2/3
Let s(q) = q**3 + 5*q**2 - 9*q - 9. Let c be s(-6). Solve -c*a + 7*a**2 - 2*a**2 + 3*a**3 - 5*a**2 - 6 = 0.
-1, 2
Let x(z) be the second derivative of -z**8/5880 - z**7/1470 + z**6/1260 + z**5/210 - z**3/3 - 2*z. Let o(c) be the second derivative of x(c). Factor o(k).
-2*k*(k - 1)*(k + 1)*(k + 2)/7
Let b(i) be the second derivative of 5*i**7/42 + 5*i**6/6 + 2*i**5 + 5*i**4/3 + 13*i. Factor b(r).
5*r**2*(r + 1)*(r + 2)**2
Let i = -326 - -329. Factor 2/5*h**i - 1/5*h**4 + 1/5 + 0*h**2 - 2/5*h.
-(h - 1)**3*(h + 1)/5
Let r = 41/522 - 2/87. Let u(d) be the second derivative of 0 - 1/3*d**3 + d + 2/3*d**2 + r*d**4. Factor u(n).
2*(n - 2)*(n - 1)/3
Let x = 46 - 44. Factor -2/5*o**x + 0*o + 2/5.
-2*(o - 1)*(o + 1)/5
Suppose -4*k - 5*y = 92, k + 4*y + 96 = -3*k. Let f = 40 + k. Determine i, given that -5 + 0*i**2 - i**4 + f*i + 6*i**3 + 1 - 13*i**2 = 0.
1, 2
Let t(p) = -7*p**4 - 3*p**3 + p**2 - 10*p - 1. Let n(i) = -8*i**4 - 4*i**3 - 10*i - 2. Let x(o) = 5*n(o) - 6*t(o). Factor x(z).
2*(z - 1)**3*(z + 2)
Let w = 4 + -2. Suppose d = 5*d - 12. Factor 2 + 3 - 3*u**2 - 6 + u**3 - 3*u - w*u**d.
-(u + 1)**3
Let l(v) be the first derivative of 0*v**3 - 2/25*v**5 + 0*v**2 + 0*v**4 + 0*v + 1. Let l(p) = 0. Calculate p.
0
Determine v so that -5/3*v**2 + 5 + 10/3*v = 0.
-1, 3
Factor -u**4 + 5*u**4 - 19 + 23 - 20*u**2 + 12*u**2.
4*(u - 1)**2*(u + 1)**2
Let y be 1/3*(15 + -9)/3. Determine q, given that -8*q**5 - y*q - 2/3 - 32/3*q**4 + 10/3*q**3 + 6*q**2 = 0.
-1, -1/3, 1/2
Let y(d) be the first derivative of -3*d**4/2 - 38*d**3/3 - 6*d**2 + 4. Find q, given that y(q) = 0.
-6, -1/3, 0
Let y(a) = 19*a**4 + 34*a**3 + 29*a**2 + 8*a + 11. Let i(k) = -10*k**4 - 17*k**3 - 14*k**2 - 4*k - 6. Let o(q) = -11*i(q) - 6*y(q). Factor o(t).
-t*(t + 2)**2*(4*t + 1)
Let c(j) = -19*j**2 + 12*j - 13. Let a(v) = 4 + 0 + 2*v + 0*v - 6 - 3*v**2. Let s(y) = -39*a(y) + 6*c(y). Determine w, given that s(w) = 0.
0, 2
Let u be (-3)/15 + 26/30 + 0. What is a in 8/9*a**2 + u*a - 2/9 = 0?
-1, 1/4
Factor 1/3*c**5 + 0*c + 0*c**4 + 0 + 0*c**2 + 0*c**3.
c**5/3
Let n = 0 + 5. Solve n*x**4 - 5*x**3 + 3*x**3 + 10*x**2 - x**5 - 5*x - 9*x**3 + 1 + x**3 = 0.
1
Let t be 4*4*(-3)/(-24). Let z(b) be the second derivative of -b**t - 1/3*b**4 - 1/5*b**5 + b + 1/5*b**6 + b**3 - 1/21*b**7 + 0. Factor z(d).
-2*(d - 1)**4*(d + 1)
Let u be (-2)/(-3) + (-6)/(-18). Factor -2 - 2 + 0 - 6*t**3 + u + 6*t + 3*t**4.
3*(t - 1)**3*(t + 1)
Let w(y) = -14*y**3 + 50*y**2 + 22. Suppose 25 - 1 = -4*z. Let o(l) = 2*l**3 - 7*l**2 - 3. Let c(f) = z*w(f) - 44*o(f). Solve c(i) = 0.
0, 2
Factor 4*p**2 + 2*p - p**2 - 11*p + 6*p.
3*p*(p - 1)
Let o = -2 + -1. Let a(n) = n**2 - 5*n - 3. Let j be a(o). Factor j*b**5 - b**3 + 0*b**3 - 5*b**5.
b**3*(4*b - 1)*(4*b + 1)
Let i(v) be the second derivative of v**7/700 + v**6/120 + v**5/50 + v**4/40 + v**3/3 - 4*v. Let y(t) be the second derivative of i(t). Factor y(x).
3*(x + 1)**2*(2*x + 1)/5
Let c(k) be the first derivative of 2*k**3/15 - 6*k**2/5 + 18*k/5 + 3. Suppose c(b) = 0. Calculate b.
3
Let d(k) = 11*k**2 + k**3 - 11 + 0*k**2 - 2*k**3 + k. Let z be d(11). Factor 0*y + z + 6/11*y**3 - 2/11*y**2 + 8/11*y**4.
2*y**2*(y + 1)*(4*y - 1)/11
Let u(s) = -4*s**2 - 2*s + 2. Let z(d) = 5*d**2 + 3*d - 3. Let w(h) = 3*u(h) + 2*z(h). Let w(t) = 0. Calculate t.
0
What is i in 0*i + 4/5*i**3 + 0 + 2/5*i**2 = 0?
-1/2, 0
Let j = -1/48 - -11/16. Let x be ((-4)/(-18))/((-12)/(-18)). Factor 2/3*o**3 + x*o**4 + 0*o**2 - 1/3 - j*o.
(o - 1)*(o + 1)**3/3
Let m = -275/3 + 92. Determine h, given that -m*h**2 + 0 - 1/3*h = 0.
-1, 0
Let c(j) be the second derivative of j**5/90 + j**4/9 + 4*j**3/9 + 8*j**2/9 + 2*j. Factor c(a).
2*(a + 2)**3/9
Let t be 1/2 + 1/10. Suppose 2*g = -2*l, 2*l - 2*g - 8 = 4. Determine h so that -3/5*h**l + t*h - 6/5 + 6/5*h**2 = 0.
-1, 1, 2
Let w be 64/126 + (-4)/14. Let c = -739/36 - -83/4. Suppose -4/9*m**2 + 2/9*m + c - 4/9*m**3 + 2/9*m**5 + w*m**4 = 0. What is m?
-1, 1
Let -4*i + 8*i**2 - 2*i**3 + 4 + 7*i + 7*i + 4*i**3 = 0. What is i?
-2, -1
Let -4*j + 8/5 - 28/5*j**2 = 0. What is j?
-1, 2/7
Let m(v) be the third derivative of -v**8/33600 - v**7/12600 + v**6/3600 + v**5/600 - v**4/8 + 4*v**2. Let t(q) be the second derivative of m(q). Factor t(g).
-(g - 1)*(g + 1)**2/5
Suppose -11 = -5*x + 4. Let g be (x + 0)/(-1 + 2). Find j, given that -4*j + 0*j - 1 - g*j - j**3 - 3*j**2 + 4*j = 0.
-1
Let r(x) be the first derivative of -x**6/4 + 9*x**5/5 - 33*x**4/8 + x**3 + 9*x**2 - 12*x + 25. Suppose r(h) = 0. What is h?
-1, 1, 2
Suppose 0 = 5*w - 5, 3*f - 4*w - 32 = -f. Let g be 12*(12/f - 1). Factor h**2 + 3*h**3 + h - 4*h**3 - 11*h**4 + 10*h**g.
-h*(h - 1)*(h + 1)**2
Factor 18/7 - 12/7*s + 2/7*s**2.
2*(s - 3)**2/7
Let t(h) be the second derivative of -h**4/24 + h**2/4 + 6*h. Suppose t(q) = 0. What is q?
-1, 1
Let m = -285 - -288. Factor 8/7*w + 0 - 2/7*w**4 + 0*w**2 - 6/7*w**m.
-2*w*(w - 1)*(w + 2)**2/7
Let m(o) = -o**5 - o**3 + o**2 - o - 1. Let j(c) = -2*c**5 + 2*c**4 - 3*c**3 + c**2 - 4*c - 3. Let q(n) = -j(n) + 3*m(n). Suppose q(g) = 0. What is g?
-1, 0, 1
Suppose 3*w - 8 = -w. Let p(m) = 1 + 19*m + 13*m**2 - 2*m**2 + 5. Let x(g) = -12*g**2 - 18*g - 6. Let t(j) = w*x(j) + 3*p(j). Determine q so that t(q) = 0.
-2, -1/3
Let z(u) = -u + u + u**2. Let b(q) = -q**2. Suppose 12*l = l + 44. Let v(s) = l*z(s) + 3*b(s). Factor v(c).
c**2
Let k = -341 - -1025/3. Let 2*u + 2*u**2 + k + 2/3*u**3 = 0. What is u?
-1
Let j = 512/3 - 169. Factor 4*b**3 - 3*b**2 + 0 + 2/3*b - j*b**4.
-b*(b - 1)**2*(5*b - 2)/3
Factor 0*i**3 + 30*i - 10*i**2 + 5*i**3 - 25*i.
5*i*(i - 1)**2
Suppose 5*h - 34 - 46 = 0. What is j in -2*j - h*j**2 - 2*j + 20*j**2 = 0?
0, 1
Factor -56*q**2 - 24*q - 20*q + 73*q**4 + 28*q**5 + 3*q**3 - 8 - 9*q**4 + 13*q**3.
4*(q - 1)*(q + 1)**3*(7*q + 2)
Let i(n) = -n**3 + 11*n**2 + 12*n + 4. Let z be i(12). Let u be -2 + 1*z/2. Factor -4/3*s**3 + 2/3*s**4 + 0 + 2/3*s**2 + u*s.
2*s**2*(s - 1)**2/3
Let w(z) be the second derivative o