*x**3 + 2*x**4 - 5*x**3.
2*x**2*(x - 3)*(x - 1)
Let g be (-4)/(-25)*(-5)/(-2). Let o be (-4)/2*(5 - 2)/(-15). Factor 0*y**3 + 0*y**2 + 0 - g*y**5 + o*y**4 + 0*y.
-2*y**4*(y - 1)/5
Let m(t) be the first derivative of -8*t**6/15 + 28*t**5/25 - 2*t**4/5 - 4*t**3/15 + 29. Factor m(y).
-4*y**2*(y - 1)**2*(4*y + 1)/5
Let 15*g**3 + 35/2*g**2 - 5/4*g**5 + 5/2*g**4 + 25/4*g + 0 = 0. Calculate g.
-1, 0, 5
Let y = 192/721 - -2/103. What is c in -4/7*c**4 + y*c + 4/7*c**2 + 0 - 2/7*c**5 + 0*c**3 = 0?
-1, 0, 1
Let b = -944/3 + 315. Factor 0 + b*t - 1/6*t**4 + 2/3*t**3 - 5/6*t**2.
-t*(t - 2)*(t - 1)**2/6
Let r = 271/205 - 5/41. Solve 2*j**2 + r*j - 4/5 = 0.
-1, 2/5
Let u = 7 - 11. Let x(t) = -t - 2. Let c be x(u). Determine q, given that -2/3*q + 8/3*q**3 + 0 - c*q**2 = 0.
-1/4, 0, 1
Let y be 20/60 + (-22)/(-24). Determine p, given that -7/4*p + y*p**2 + 1/2 = 0.
2/5, 1
Suppose 0 = -4*z + 2*h + 2, -z - 4 = 4*h - 0. Factor 0 + 7/5*g**3 + z*g - g**4 - 2/5*g**2.
-g**2*(g - 1)*(5*g - 2)/5
Suppose -q = -0*q - 3. Factor 11*b**3 - 4*b**2 + 2*b**5 - 8*b**3 + 7*b**q - 8*b**4.
2*b**2*(b - 2)*(b - 1)**2
Let m(u) be the second derivative of u**6/60 - u**5/40 - u**4/12 + 13*u. Factor m(b).
b**2*(b - 2)*(b + 1)/2
Let a = -2 - -4. Factor l**2 + 0*l**2 - 4*l**a.
-3*l**2
Let z(k) = 2*k + 8. Let f be z(-6). Let h be (-5 - f)/((-2)/6). Factor -4/5*j**2 + 6/5*j**4 - 2/5 - 2/5*j**5 - 4/5*j**h + 6/5*j.
-2*(j - 1)**4*(j + 1)/5
Let i(p) be the first derivative of -p**6/10 - 12*p**5/25 - 3*p**4/4 - 2*p**3/5 - 6. Determine u, given that i(u) = 0.
-2, -1, 0
Factor 81/5 + 1323/5*n**2 + 1029/5*n**3 + 567/5*n.
3*(7*n + 3)**3/5
Let u(x) be the first derivative of 1/2*x**2 + 1/12*x**3 + 3/4*x - 6. Factor u(g).
(g + 1)*(g + 3)/4
Let 3/2*d**5 - 7/2*d**4 + 3/2*d**3 - d + 0 + 3/2*d**2 = 0. What is d?
-2/3, 0, 1
Let n be (1 - 2)/1 - -6. Let c be (21 - 20)/(n/4). Let -c*k - 2/5 - 2/5*k**2 = 0. Calculate k.
-1
Suppose 0 = -3*f - 5 + 20. Let s(d) = 5*d**4 + 8*d**3 + 14*d**2 - 11. Let r(i) = -3*i**4 - 5*i**3 - 9*i**2 + 7. Let l(n) = f*s(n) + 8*r(n). Factor l(m).
(m - 1)**2*(m + 1)**2
Let g = 39 - 60. Let v be (-57)/g + 4/14. Determine z, given that 0*z + 2/3*z**2 + 0*z**v - 1/3*z**4 - 1/3 = 0.
-1, 1
Let p = -235 - -239. Factor 2/3*g**p - 2/3*g**2 + 0 + 2/3*g**5 + 0*g - 2/3*g**3.
2*g**2*(g - 1)*(g + 1)**2/3
Let n(p) be the second derivative of -p**6/105 + 2*p**5/35 - p**4/7 + 4*p**3/21 - p**2/7 + 11*p. Factor n(j).
-2*(j - 1)**4/7
Let p = 14 + -10. Let k be ((-4)/p)/((-1)/3). Suppose 1/2*i + 1/2*i**5 - i**k - 1/2*i**4 - 1/2 + i**2 = 0. What is i?
-1, 1
Let z(r) be the first derivative of 0*r**2 + 4 + 2/9*r - 2/27*r**3. Factor z(l).
-2*(l - 1)*(l + 1)/9
Let q(z) = -4*z**2 + 14*z. Let n(o) = 68*o**2 + 2*o - 3*o - 67*o**2. Let v(w) = 6*n(w) + q(w). Solve v(l) = 0 for l.
-4, 0
Let o(u) = 3*u**5 + 12*u**4 - 24*u**3 - 24*u**2 + 3*u + 12. Let m(r) = r**5 + 3*r**4 - 6*r**3 - 6*r**2 + r + 3. Let g(l) = -9*m(l) + 2*o(l). Factor g(i).
-3*(i - 1)**2*(i + 1)**3
Let p(v) = 3*v**2 - 2*v + 3. Let y(l) = -5*l**2 + 3*l - 5. Suppose 8 = -2*m - 0*m. Let z(b) = m*y(b) - 7*p(b). Factor z(n).
-(n - 1)**2
Factor -12/5*g**2 - 3*g - 3/5*g**3 - 6/5.
-3*(g + 1)**2*(g + 2)/5
Let m(d) = d**5 + 14*d**3 + 22*d**2 + 3*d + 8. Let w(i) = -2*i**5 + i**4 - 28*i**3 - 45*i**2 - 5*i - 17. Let g(u) = 13*m(u) + 6*w(u). Find s such that g(s) = 0.
-2, -1
Let c(j) be the second derivative of -j**6/2 - 7*j**5/4 - 5*j**4/4 + 5*j**3/2 + 5*j**2 - 3*j. Determine i, given that c(i) = 0.
-1, 2/3
Suppose 1 + 1 = 2*h. Let l(m) = m**4 - 3*m**3 + 5*m**2. Let j(r) = r**4 - r**3 + r**2. Let z(t) = h*l(t) - 3*j(t). Suppose z(b) = 0. What is b?
-1, 0, 1
Factor 49/3*u**2 + 70/3*u + 25/3.
(7*u + 5)**2/3
Factor p**2 - 8/3 - 2*p + 1/3*p**3.
(p - 2)*(p + 1)*(p + 4)/3
Factor x**4 + 2*x**3 + 20 - 4*x**3 + 0 + 16 - 11*x**2 + 12*x.
(x - 3)**2*(x + 2)**2
Let w(a) = a**3 + 7*a**2 - 2*a - 6. Let s be w(-7). Find g such that 22*g**4 - 27*g**3 - 7*g**4 - s*g**5 - 15*g**2 + 5*g + 29*g**5 + g = 0.
-1, 0, 2/7, 1
Let l(p) be the first derivative of p**6/36 + p**5/30 - p**4/24 - p**3/18 - 14. What is h in l(h) = 0?
-1, 0, 1
Let c(o) be the third derivative of 1/100*o**5 + 0*o**4 + 0*o**3 + 0 - 2*o**2 + 0*o + 1/200*o**6. Factor c(n).
3*n**2*(n + 1)/5
Let g = -175 + 179. Factor 13/2*c**2 + 3*c**3 + 6*c + 2 + 1/2*c**g.
(c + 1)**2*(c + 2)**2/2
Let b = -86/3 + 29. Let p(o) be the third derivative of 4/9*o**3 + b*o**4 + 0*o - 2*o**2 - 1/36*o**6 + 1/30*o**5 + 0. Find q such that p(q) = 0.
-1, -2/5, 2
Let g be (-28)/40*-2 - 3/5. Factor g + 1/5*n**2 - 4/5*n.
(n - 2)**2/5
Let p(i) be the second derivative of i**6/255 + 3*i**5/170 + i**4/51 - 26*i. Factor p(x).
2*x**2*(x + 1)*(x + 2)/17
Let r(x) be the third derivative of -x**5/20 - x**4/8 + x**3 + 8*x**2. Solve r(t) = 0.
-2, 1
Let u(p) be the third derivative of p**8/168 + 2*p**7/105 + p**6/60 - 10*p**2. Factor u(o).
2*o**3*(o + 1)**2
Let k = 16 + -10. Suppose 4*j - o - 13 = 0, -4*j - 3*o - 1 = k. Find d, given that -10/3*d**5 - 44/3*d**3 + 16/3*d**2 - 4/3 + 12*d**4 + j*d = 0.
-2/5, 1
Let c(t) be the third derivative of 0 + 0*t - 3*t**2 - 1/840*t**8 + 0*t**3 + 0*t**6 + 1/525*t**7 + 0*t**4 + 0*t**5. Factor c(q).
-2*q**4*(q - 1)/5
Let k(t) be the third derivative of -3*t**6/200 + 4*t**5/75 - t**4/24 - t**3/15 - 4*t**2 - 1. Factor k(w).
-(w - 1)**2*(9*w + 2)/5
Let k be (-2)/(-11) - (-494)/(-3080). Let w = 23/28 - k. Find b such that -22/5*b**3 + w + 6*b**2 + 6/5*b**4 - 18/5*b = 0.
2/3, 1
Let j(p) = 48*p**5 - 108*p**4 - 9*p**3 + 52*p**2 + 19*p + 6. Let h(x) = x**4 - x**3 - x**2 - 1. Let w(v) = 4*h(v) + j(v). Find y, given that w(y) = 0.
-1/3, -1/4, 1, 2
Let i(o) be the third derivative of -4*o**5/15 - 5*o**4/6 - 2*o**3/3 - 4*o**2. Factor i(b).
-4*(b + 1)*(4*b + 1)
Suppose -2/5*l + 4/5*l**2 - 2/5*l**3 + 0 = 0. Calculate l.
0, 1
Let g = 0 + 0. Suppose g + d**3 + 2*d - 3*d**3 - 2 + 2*d**2 = 0. Calculate d.
-1, 1
Let i(s) = s + 12. Let g be i(-10). Factor 0*t**3 - 2/7*t**5 + 0*t - 2/7*t**4 + 0 + 0*t**g.
-2*t**4*(t + 1)/7
Suppose 0 = -0*n - n - 3. Let w(s) = -6*s**3 + 4*s**2 + 6*s + 6. Let k(x) = -x**3 + x**2 + x + 1. Let q(l) = n*w(l) + 15*k(l). Determine r so that q(r) = 0.
-1, 1
Let i = -38/3 + 13. Suppose -i*j**4 - 4*j**2 + 8/3*j + 2*j**3 + 0 = 0. What is j?
0, 2
Let u(z) be the second derivative of -z**4/18 + z**3/9 + 4*z. What is s in u(s) = 0?
0, 1
Let j(l) be the third derivative of -l**8/140 - 17*l**7/1050 + 3*l**6/200 + 19*l**5/300 + l**4/40 - l**3/15 + l**2. Suppose j(q) = 0. Calculate q.
-1, -2/3, 1/4, 1
Let x be 0/((2 - -2) + -1). Let j(r) be the second derivative of x*r**3 + 0*r**2 + 7/80*r**5 + 0 - 2*r + 1/24*r**4. Suppose j(m) = 0. Calculate m.
-2/7, 0
Factor 2*p - 8 - 27*p**3 + 11*p**3 - 2*p + 32*p**2 + 4*p.
-4*(p - 2)*(2*p - 1)*(2*p + 1)
Let j(x) be the first derivative of x**6/30 - 3*x**5/25 + x**4/10 + 2*x**3/15 - 3*x**2/10 + x/5 - 68. Factor j(i).
(i - 1)**4*(i + 1)/5
Let j be (3 - (-4)/4) + (3 - 7). Factor 0*s**2 + j + 0*s**3 - 1/5*s**4 + 0*s.
-s**4/5
Let k be 2/(-4) + 525/330. Let i = 35/22 - k. Find n such that i*n**2 + 9/2 - 3*n = 0.
3
Let w(z) = -z**3 + 5*z**2 - 3*z - 2. Let m be w(4). Factor 3*r**3 + 3 - 3 - 4*r**2 - 2*r**m.
3*r**2*(r - 2)
Suppose -2/3*d - 1/3 - 1/3*d**2 = 0. What is d?
-1
Let v be ((-6)/2)/(6 - 7). Suppose p = 4*x + 18, -2*x + 1 - v = 3*p. Find c, given that -2/3*c**4 - 2/3*c**p - 2*c + 2*c**3 + 4/3 = 0.
-1, 1, 2
Let w be (0 - -2 - 4) + 5. Solve -3*p**4 + 6*p**3 + w*p**4 - 4*p**3 + 2*p**4 = 0 for p.
-1, 0
Find f such that -2*f + 2*f**3 - 2/7*f**2 + 2/7 = 0.
-1, 1/7, 1
Let o = -16/13 - -138/91. Let -o + 4/7*c - 2/7*c**2 = 0. Calculate c.
1
Let g(k) be the first derivative of 49*k**6/180 - 7*k**5/15 + k**4/3 + 2*k**3/3 - 3. Let m(h) be the third derivative of g(h). Factor m(c).
2*(7*c - 2)**2
Let w(l) be the first derivative of -l**4/4 - 7*l**3/3 - 5*l**2/2 + 5*l - 1. Let d(o) = 3*o**3 + 24*o**2 + 18*o - 18. Let j(z) = 5*d(z) + 18*w(z). Factor j(c).
-3*c**2*(c + 2)
Let a(g) be the third derivative of 0*g**4 - 4*g**2 - 1/20*g**5 + 0*g + 0 - 1/60*g**6 + 1/6*g**3. Suppose a(m) = 0. What is m?
-1, 1/2
Factor -8/5*r - 16/5 - 1/5*r**2.
-(r + 4)**2/5
Let h be 2/(-5)*(-10)/2. Factor -6*r**2 + 10*r - 2*r + 0*r**4 - 10*r**3 - h*r**4 + 2*r**3 + 8.
-2*(r - 1)*(r + 1)*(r + 2)**2
Let t(i) be the first derivativ