Let j(w) be the first derivative of w**4 - 8*w**3/3 - 2*w**2 + 8*w + 5. Factor j(f).
4*(f - 2)*(f - 1)*(f + 1)
Suppose 5*h - 25 = 0, 0 = 4*j + 5*h - 9. Let v(u) = 2 - 8*u**2 - 5 + u**2 + 2*u - 4*u. Let s(o) = -o**2 + o. Let b(w) = j*s(w) + v(w). Solve b(d) = 0 for d.
-1
Let w(f) be the first derivative of 2*f**3/3 + 4*f**2 + 8*f - 2. Factor w(i).
2*(i + 2)**2
Let h = -7 + 10. Find r, given that -2*r**h - 5*r**2 - 2*r**2 + 2*r + 8*r**4 - r**2 = 0.
-1, 0, 1/4, 1
Suppose -x + q + 3 = 0, -x - 9 = 4*x + 3*q. Factor 0*h + h**5 + 0 + 3/4*h**4 + x*h**2 - 1/4*h**3.
h**3*(h + 1)*(4*h - 1)/4
Let m(n) = n**2 - 9*n - 8. Let z be m(7). Let g be (-4)/z + (-42)/(-11). Determine i so that -22*i**2 + 14*i**2 - 11*i**2 - g - 21*i**2 + 26*i = 0.
1/4, 2/5
Let p(w) be the second derivative of -7*w**5/50 + w**4/6 + 2*w**3/15 - w. Find j such that p(j) = 0.
-2/7, 0, 1
Suppose 5*c + 4*r - 69 = 0, 2*r = 4*c - 2 - 48. Let h = c - 11. Factor -1/3*w + 0 - 1/3*w**h.
-w*(w + 1)/3
Let b(v) = -4*v**2 - v + 4. Let j(p) = 3*p**2 + p - 3. Let r(i) = 2*b(i) + 3*j(i). Let y(h) = -3*h**2 - 4*h + 3. Let s(m) = -4*r(m) - y(m). Factor s(n).
-(n - 1)*(n + 1)
Let q(g) = 2*g**2 + 5*g - 7. Let v = -5 - -10. Let x(j) = -6*j**2 - 14*j + 20. Let n(w) = v*x(w) + 14*q(w). Factor n(i).
-2*(i - 1)*(i + 1)
Let g(t) be the third derivative of t**5/75 + 8*t**4/15 + 128*t**3/15 - 11*t**2. Determine d so that g(d) = 0.
-8
Suppose 0*w = w - 3. Find v, given that -v**2 - 3*v - v**4 - 2 + 4 + 10*v**w - 7*v**3 = 0.
-1, 1, 2
Let j(m) be the second derivative of m - 1/10*m**5 + 0*m**2 + 1/6*m**4 - 1/9*m**3 + 0 + 1/45*m**6. Factor j(d).
2*d*(d - 1)**3/3
Let i be 2/(-8)*(1 + -4). Factor 0 - 3/4*r**3 + 0*r + i*r**2.
-3*r**2*(r - 1)/4
Let y(x) be the third derivative of -x**8/20160 + x**7/3780 - x**6/2160 - x**4/24 + 3*x**2. Let t(b) be the second derivative of y(b). Solve t(a) = 0 for a.
0, 1
Let p be (-133)/(-38) - (-2)/4. Let c be (-26)/(-5) + (0 - p). Factor 4/5*q**2 + 2/5 - c*q.
2*(q - 1)*(2*q - 1)/5
Let w be 95/25 + (-1)/(-5). Suppose 0 = 3*a, b + 1 = -2*a + w. Find t, given that t + 1 + b*t**3 - 4*t**3 + 3*t**2 - 4*t = 0.
1
Let h(a) be the second derivative of -a**7/6300 - a**6/900 - a**5/300 + a**4/2 + 5*a. Let f(z) be the third derivative of h(z). Find l, given that f(l) = 0.
-1
Let j(h) be the second derivative of -h**5/30 - h**4/2 - 3*h**3 + h**2 + h. Let k(v) be the first derivative of j(v). Let k(q) = 0. What is q?
-3
Let d = 6 + -3. Let q(x) be the third derivative of 1/150*x**5 + 0 - 2/15*x**3 + 1/60*x**4 + d*x**2 + 0*x. Factor q(u).
2*(u - 1)*(u + 2)/5
Factor -335 + 333 + 12*y**2 + 6*y**4 + 9*y**3 + 7*y**3.
2*(y + 1)**3*(3*y - 1)
Let g = -89 - -89. Factor 4/13 - 2/13*a**3 + g*a**2 + 6/13*a.
-2*(a - 2)*(a + 1)**2/13
Factor 30*b**2 - 25*b**5 - 39*b**3 + 12*b**4 + 6*b**2 + 22*b**5 + 6*b**4 - 12*b.
-3*b*(b - 2)**2*(b - 1)**2
Let n be (1/4)/(4/48). Suppose -5/3*f**4 - 2/3*f**n + 4/3*f + 4/3*f**2 - 2/3*f**5 + 1/3 = 0. What is f?
-1, -1/2, 1
Suppose 2*s - 5*j - 3 = 0, 5*s - 4*s - 1 = 3*j. Factor -h**2 + 6 + 3*h - s - 4*h.
-(h - 1)*(h + 2)
Find k, given that 3/5*k**3 - 6/5*k**2 + 0*k + 0 = 0.
0, 2
Let s = 92/3 - 30. Let o(l) be the first derivative of 0*l + 0*l**2 + s*l**3 - 1. Factor o(r).
2*r**2
Let j be (-3)/(-2) + 31/(-18). Let v = 5/9 + j. Factor -1/3*g**2 - v*g**3 + 0 + 0*g.
-g**2*(g + 1)/3
Let r be (-87)/12 - 2/(-8). Let a be 1 + (r/(-5) - 2). Factor 2/5*j**2 - 2/5*j**4 + 0 + 2/5*j - a*j**3.
-2*j*(j - 1)*(j + 1)**2/5
Let t(o) = -4*o**3 - 4*o**2 + 2*o. Let j(s) be the third derivative of -s**7/210 + s**5/60 - s**4/24 + 8*s**2. Let g(k) = 2*j(k) + t(k). Factor g(y).
-2*y**2*(y + 1)**2
Let r be (-1)/(-11)*(-1)/2. Let y = 85/66 - r. Factor 2/3*d - 2/3*d**5 + y*d**2 + 0*d**3 + 0 - 4/3*d**4.
-2*d*(d - 1)*(d + 1)**3/3
Let n(r) be the second derivative of 1/12*r**3 + 1/10*r**5 - 5/24*r**4 - r + 0*r**2 + 0. Factor n(b).
b*(b - 1)*(4*b - 1)/2
Determine p, given that 2*p**2 - 3*p**2 - 582*p + 581*p = 0.
-1, 0
Let p(b) be the third derivative of b**5/30 - b**4/2 + 5*b**3/3 - 17*b**2. Factor p(t).
2*(t - 5)*(t - 1)
Factor 10/9*m**2 + 14/9*m + 2/3 + 2/9*m**3.
2*(m + 1)**2*(m + 3)/9
Let v be 2/4*-2 + 26. Suppose 0 = -5*h + 5*t + v, -4*h = 4*t - 2*t - 14. Suppose -4*n**2 - 4*n**4 + 4*n**3 + 12*n**h - 2*n**3 - 6*n**5 = 0. Calculate n.
-2/3, 0, 1
Let p(j) be the first derivative of -j**7/3780 - j**6/540 - j**5/180 - j**4/108 + j**3/3 + 1. Let v(k) be the third derivative of p(k). Factor v(t).
-2*(t + 1)**3/9
Let j(k) be the second derivative of -k**6/600 - k**5/150 - k**4/120 - k**2 + k. Let i(u) be the first derivative of j(u). Factor i(n).
-n*(n + 1)**2/5
What is q in 25/3*q - 5/3*q**2 - 10 = 0?
2, 3
Let p(t) be the second derivative of 2*t - 1/3*t**4 + 0 + 0*t**2 - 1/6*t**3 - 3/20*t**5. Factor p(z).
-z*(z + 1)*(3*z + 1)
Factor 21*u**4 - 9*u**5 + 3*u**2 - 616*u - 15*u**3 + 616*u.
-3*u**2*(u - 1)**2*(3*u - 1)
Let t = -12 + 14. What is l in -7*l + 6 + 3*l - t + l**2 + 0*l = 0?
2
Let f(q) be the third derivative of -q**5/60 + 5*q**4/24 - 2*q**3/3 + q**2. Let g be f(3). Factor -18/11*o**g + 0 + 30/11*o**3 + 6/11*o**5 + 4/11*o - 2*o**4.
2*o*(o - 1)**3*(3*o - 2)/11
Let h(o) = -4*o**4 - 10*o**3 + 10*o**2 - 10. Let z(j) = -j**3 - j**2 + 1. Let n(g) = -h(g) - 10*z(g). Suppose n(d) = 0. Calculate d.
-5, 0
Let h(v) = v**3 + v**2 - 4*v - 1. Let s(a) = a - 5. Let y be s(7). Let p(m) = -m**3. Let q(n) = y*h(n) - 6*p(n). Solve q(k) = 0 for k.
-1, -1/4, 1
Factor -3*p**3 + 5*p**3 - 4*p**2 + 0*p + 2*p.
2*p*(p - 1)**2
Solve -2*k**2 + k - 23*k + 8*k = 0.
-7, 0
Let j be ((-3)/(-34))/(6/12). Let z = j - -13/119. Solve z*o - 8/7*o**2 + 0 = 0 for o.
0, 1/4
Let n(m) be the third derivative of -1/210*m**6 + 1/70*m**5 + 1/21*m**4 - 1/735*m**7 - 2*m**2 + 0 - 4/21*m**3 + 0*m. Factor n(f).
-2*(f - 1)**2*(f + 2)**2/7
Let y = 1081/10 - 108. Let m(s) be the second derivative of 0*s**3 + 1/21*s**7 + 0 - s + 0*s**6 + 0*s**2 + 0*s**4 - y*s**5. Factor m(x).
2*x**3*(x - 1)*(x + 1)
Let g(o) = -2*o**2. Let u be g(2). Let z be (0 + -1)/(52/u). Factor -4/13*w**3 + 8/13 + 8/13*w + z*w**4 - 6/13*w**2.
2*(w - 2)**2*(w + 1)**2/13
Let u(i) be the second derivative of -i**5/20 + i**4/3 - i**3/2 - 17*i. Factor u(w).
-w*(w - 3)*(w - 1)
Let z(n) be the first derivative of -n**3/3 + 3*n**2 - 9*n + 13. What is g in z(g) = 0?
3
Let y(l) be the second derivative of l**7/210 - 2*l**2 - 2*l. Let f(q) be the first derivative of y(q). Let f(n) = 0. What is n?
0
Let d(l) be the third derivative of l**8/1008 + l**7/315 - 10*l**2. Factor d(t).
t**4*(t + 2)/3
Let q be ((-4)/70*1)/((-1)/5). Find l, given that -q*l**3 - 4/7*l + 6/7*l**2 + 0 = 0.
0, 1, 2
Let s(m) be the first derivative of 0*m + 0*m**4 + 0*m**2 + 1 - 2/3*m**3 + 2/5*m**5. Factor s(r).
2*r**2*(r - 1)*(r + 1)
Let p = 11 - 9. Suppose 12*y = 11*y + p. Suppose 12/5*f**y + 18/5*f**3 + 0 + 12/5*f**4 + 3/5*f + 3/5*f**5 = 0. What is f?
-1, 0
Let v be 1 + -3 + -1 + 1. Let s(b) = -b**3 - b**2 + b + 1. Let f be s(v). Factor -6*i**2 + 5*i**2 + i**2 + 2*i**4 - 6*i**f + 4*i**2.
2*i**2*(i - 2)*(i - 1)
Let k(h) = h + 3. Let v be k(0). Let i(s) be the first derivative of 1/15*s**5 + 1/3*s**v - 1/3*s**4 + 2/3*s**2 - 4/3*s - 2. Factor i(o).
(o - 2)**2*(o - 1)*(o + 1)/3
Suppose 3*q - 12 = -0. Suppose -4*d + 7*x = q*x - 18, -d - x + 1 = 0. Factor -3*v + v - 2*v - 6 + 7*v + 6*v**2 - 3*v**d.
-3*(v - 2)*(v - 1)*(v + 1)
Let h(k) be the first derivative of 3*k**5/20 - 3*k**4/8 + 3*k**2/4 - 3*k/4 - 4. Let h(f) = 0. Calculate f.
-1, 1
Let k(b) = -b**3 + 12*b**2 + 13*b. Suppose -6 + 26 = -4*o - 4*t, t = -5*o - 33. Let x(q) = q**3 - 8*q**2 - 9*q. Let i(z) = o*x(z) - 5*k(z). Factor i(g).
-2*g*(g + 1)**2
Suppose -3*i + 22 = 3*n - 8, 5*i + 2*n - 65 = 0. Factor b**5 - 2*b**4 - 15 + b**3 + i.
b**3*(b - 1)**2
Let i(o) be the first derivative of -o - 1/2*o**4 + 3*o**2 - 2/3*o**6 - 8/3*o**3 - 3 + 9/5*o**5. Factor i(w).
-(w - 1)**3*(w + 1)*(4*w - 1)
Let l(b) = 2*b**4 - 18*b**3 - 44*b**2 - 41*b - 17. Let r(x) = -3*x**4 + 36*x**3 + 87*x**2 + 81*x + 33. Let h(m) = -9*l(m) - 5*r(m). Find y, given that h(y) = 0.
-2, -1
What is b in -3*b**4 + b**4 - 10*b**2 - 8*b + 8*b**3 - 2*b**4 + 14*b**2 = 0?
-1, 0, 1, 2
Suppose 3*i + 0*i - 30 = 0. Let j be ((-10)/(-25))/(2/i). What is y in -y + 5*y**2 - 5*y**j - y**2 = 0?
-1, 0
Let m = -7373/16 + 461. Let d(k) be