+ 2*z - c*z**3 - 3*z**2.
-2*(z - 1)**2*(z + 1)
Let u = 325/3 + -107. Factor -u*p + 2/3*p**2 + 0.
2*p*(p - 2)/3
Let j(v) be the third derivative of 1/60*v**6 + 0*v**4 + 0*v + 0*v**5 + v**2 + 0*v**3 + 0 + 1/168*v**8 + 2/105*v**7. Suppose j(d) = 0. Calculate d.
-1, 0
Let o(q) = 25*q**5 + 5*q**4 - 18*q**3 + 4*q**2 + 2*q. Let l(m) = 25*m**5 + 5*m**4 - 19*m**3 + 4*m**2 + 3*m. Let h(x) = 2*l(x) - 3*o(x). Factor h(y).
-y**2*(y + 1)*(5*y - 2)**2
Let m be (-10)/(-15) + (-2)/3. Let -1/6*s**3 + 1/6*s**2 + 1/3*s + m = 0. What is s?
-1, 0, 2
Let t = -16090/13 + 1238. Factor -2/13*f**3 + 2/13*f**2 + t*f + 0.
-2*f*(f - 2)*(f + 1)/13
Let x be (-15)/(-6)*(-18)/(-15). Determine u, given that -24*u + 2*u**3 + 0*u**4 + 10 - 2 + 26*u**2 - 14*u**x + 2*u**4 = 0.
1, 2
Suppose 17*t = -1 + 35. Factor -12/7*v**t - 3/7 + 12/7*v.
-3*(2*v - 1)**2/7
Let l be ((0 + -3)*1)/(-1). Let 0 - 2/9*h**l + 0*h - 4/9*h**2 = 0. Calculate h.
-2, 0
Let l(c) = 7*c**3 - 2*c**2 - 17*c - 10. Let a(z) = 15*z**3 - 5*z**2 - 35*z - 20. Let y(h) = -2*a(h) + 5*l(h). Factor y(b).
5*(b - 2)*(b + 1)**2
Let n(b) = b**3 - 3*b**2 - 6*b + 21. Let x be n(3). Determine l so that 9/2*l + 3/2*l**x - 1 - 5*l**2 = 0.
1/3, 1, 2
Let k(x) be the third derivative of -x**8/840 - x**7/525 + x**6/300 + x**5/150 + 10*x**2. Let k(n) = 0. What is n?
-1, 0, 1
Let o be ((-8)/2 - -4)/(12/(-4)). Solve -2/9*g**5 + 4/9*g**4 + 0*g**2 + 0*g + o + 0*g**3 = 0 for g.
0, 2
Let t(s) = -s**5 - 5*s**4 - 9*s**3 - 5*s**2 - 5*s. Let o(q) = -2*q**5 - 8*q**4 - 14*q**3 - 8*q**2 - 8*q. Let b(z) = 5*o(z) - 8*t(z). Factor b(r).
-2*r**3*(r - 1)*(r + 1)
Factor 2/9*u**4 - 16/9*u + 10/9*u**3 - 8/9 - 2/9*u**2 - 2/9*u**5.
-2*(u - 2)**2*(u + 1)**3/9
Let i(y) be the second derivative of -y**6/240 + y**5/20 - y**4/4 + 2*y**3/3 + y**2 + y. Let p(c) be the first derivative of i(c). Factor p(f).
-(f - 2)**3/2
Let t = 43 - 30. Suppose 5 = y + 3*f - 12, -4*y - f = -t. Let -u - 20*u**4 + y*u + 2*u**2 - u**5 - 7*u**5 - 7*u**3 - 4*u**5 = 0. Calculate u.
-1, -1/2, 0, 1/3
Let a(b) be the first derivative of b**5/40 + 3*b**4/32 - b**2/4 - 33. Factor a(k).
k*(k - 1)*(k + 2)**2/8
Let x(s) be the third derivative of -1/6*s**3 + 0*s - 1/12*s**4 - s**2 - 1/60*s**5 + 0. Let x(d) = 0. Calculate d.
-1
Suppose -3*n = -n - 4. Let l(d) = -d + 3. Let g be l(n). Factor 1/2*s**2 + g - 3/2*s.
(s - 2)*(s - 1)/2
Let j(w) be the first derivative of -w**5/15 + w**4/4 - w**3/9 - w**2/2 + 2*w/3 + 4. Suppose j(b) = 0. What is b?
-1, 1, 2
Let r be 2/4 - 6/4. Let p be r/(-12) - (-12)/18. Factor 1/4*d**2 + p*d + 1/2.
(d + 1)*(d + 2)/4
Find d such that 3/2*d**3 - 3/8*d**4 + 3/4*d - 15/8*d**2 + 0 = 0.
0, 1, 2
Let n(b) = -b. Let l(k) be the second derivative of k**5/20 + 7*k**4/12 + 5*k**3/3 + 9*k**2/2 + 8*k. Let g(c) = 4*l(c) - 20*n(c). Let g(z) = 0. What is z?
-3, -1
Let d(y) be the first derivative of y**5/15 + y**4/4 + y**3/9 - y**2/2 - 2*y/3 - 5. Factor d(g).
(g - 1)*(g + 1)**2*(g + 2)/3
Let o(a) be the second derivative of 3*a**5/100 + a**4/20 - a**3/2 + 9*a**2/10 + 6*a. Factor o(h).
3*(h - 1)**2*(h + 3)/5
Suppose 0 = -4*r - 3*o + 12, -3*r - 48 = 2*o - 57. Suppose 0 = -0*y + 2*y - 8. Solve 5/2*g + 1 + 3/2*g**2 - 1/2*g**r - 1/2*g**y = 0.
-1, 2
Let q(b) = b**2 + 20*b - 52. Let h(l) = -l**2 - 41*l + 103. Let x = -14 + 7. Let w(z) = x*q(z) - 4*h(z). Factor w(n).
-3*(n - 4)**2
Suppose -l = 3*v - 9, 18*l + 4*v = 17*l + 12. Let 4/3*y - 2/3*y**4 + 2*y**3 - 2/3*y**5 + 10/3*y**2 + l = 0. Calculate y.
-1, 0, 2
Let q(h) be the second derivative of -h**4/48 + 5*h**3/12 - 9*h**2/8 - 22*h. Factor q(r).
-(r - 9)*(r - 1)/4
Let t(f) be the third derivative of 1/3*f**4 + 1/105*f**7 + 0 - 2*f**2 + 1/3*f**3 + 1/15*f**6 + 1/5*f**5 + 0*f. Factor t(w).
2*(w + 1)**4
Factor -5*j**2 + j**2 + 12*j**2 + 28*j**5 + 12*j**3 - 48*j**4.
4*j**2*(j - 1)**2*(7*j + 2)
Let t(u) be the first derivative of -2*u**4 + 6*u**3 + 10*u**2 - 6*u - 14. Factor t(d).
-2*(d - 3)*(d + 1)*(4*d - 1)
Let f(j) be the second derivative of -j**7/210 - 2*j**6/75 - j**5/20 - j**4/30 + 4*j. Determine h, given that f(h) = 0.
-2, -1, 0
Let v be 5/(2 + -2 - -9). Let o = v - 2/9. Let o*z**2 + 4/3 - 4/3*z = 0. What is z?
2
What is y in -15*y + 35/3*y**2 + 10/3 = 0?
2/7, 1
Factor -16/9 - 2/9*a**3 + 4/9*a**2 + 8/9*a.
-2*(a - 2)**2*(a + 2)/9
Let g = 8 + -6. Factor 3*f**5 + f**4 - 3*f**3 - 3*f**g - 9*f**4 + 11*f**4.
3*f**2*(f - 1)*(f + 1)**2
Let a(c) be the second derivative of -1/30*c**6 - 1/42*c**7 + 0*c**5 - 2*c + 0*c**2 + 0*c**4 + 0 + 0*c**3. Factor a(r).
-r**4*(r + 1)
Let v = -112/3 - -38. Suppose 3*i - 12 = 2*i + 5*q, -4 = 3*i + 5*q. Factor 8/3*h**i - v*h**5 - 2/3*h - 4*h**3 + 0 + 8/3*h**4.
-2*h*(h - 1)**4/3
Suppose -2*o = -0*o - 8. Suppose o*v - 2 = 6. Factor -m + 0*m**v - 2*m**2 - m**3 + 4*m**2.
-m*(m - 1)**2
Let z(b) = -4*b**2 + 45*b - 11. Let n be z(11). Let 0*g + n + 3/5*g**2 + 3/5*g**3 = 0. What is g?
-1, 0
Let m(r) be the first derivative of -3 + 3/16*r**4 - 1/4*r**2 + 0*r - 1/20*r**5 - 1/24*r**6 + 1/12*r**3. Solve m(y) = 0.
-2, -1, 0, 1
Factor -5 - 41*k - k**2 + 37*k + 1.
-(k + 2)**2
Let a(u) be the third derivative of 0*u + 1/525*u**7 - u**2 + 0 + 0*u**4 - 1/150*u**5 + 0*u**6 + 0*u**3. Let a(h) = 0. Calculate h.
-1, 0, 1
Let i be ((-14)/(-8))/(-7) + (-1)/(-4). Factor -1/3*y**3 + i*y + 1/3*y**2 + 0.
-y**2*(y - 1)/3
Factor -36/7*o**3 - 4/7*o**5 + 0*o - 24/7*o**4 - 16/7*o**2 + 0.
-4*o**2*(o + 1)**2*(o + 4)/7
Let i(b) be the second derivative of -b**5/160 + b**4/96 + b**3/48 - b**2/16 - b. Factor i(d).
-(d - 1)**2*(d + 1)/8
Let m(f) be the second derivative of -1/4*f**3 + 1/16*f**4 - 4*f + 0 + 3/8*f**2. Find h, given that m(h) = 0.
1
Let l(x) = x - 2. Suppose 4*a - 20 = -2*u, 0*u + 3*u - 27 = -5*a. Let t be l(u). Factor -1/2 - 9/4*y - 7/4*y**t.
-(y + 1)*(7*y + 2)/4
Let o(t) = t**3 + 6*t**2 - 11*t + 2. Let w(m) = -6*m**3 - 30*m**2 + 56*m - 11. Let q(p) = 11*o(p) + 2*w(p). Factor q(h).
-h*(h - 3)**2
Let t(o) = -5*o**3 - 2*o**2 - 7*o - 5. Let q be t(-1). What is s in 6/13*s + 6/13*s**4 - 2/13*s**q - 4/13*s**2 - 4/13*s**3 - 2/13 = 0?
-1, 1
Let a(g) be the first derivative of 6*g**5/25 + 3*g**4/10 - 4*g**3/5 + 10. Factor a(l).
6*l**2*(l - 1)*(l + 2)/5
Let w(r) = r**2 + 1. Let k(i) = -2*i**2 + 9*i - 5. Let z(v) = k(v) - w(v). Solve z(m) = 0 for m.
1, 2
Find m such that -24*m**2 + 7*m**2 + 15*m**2 - 18*m - 16 = 0.
-8, -1
What is x in -2/5*x**2 + 0*x + 0 = 0?
0
Let z(d) be the third derivative of d**7/490 - 3*d**5/140 - d**4/28 + 23*d**2. Let z(f) = 0. Calculate f.
-1, 0, 2
Suppose 5*j - 3*j = -2*t + 14, -4*j + 32 = 5*t. Factor -1/3 - f**3 - 1/3*f**2 + 2/3*f**t + f.
(f - 1)**2*(f + 1)*(2*f - 1)/3
Let r = -285 - -177. Let t be (2*2)/(r/(-126)). Suppose t*a**5 - 10/3*a**3 + 0 - 6*a**2 + 6*a**4 - 4/3*a = 0. What is a?
-1, -2/7, 0, 1
Let t(y) = -y + 18. Let z be t(13). Let n(l) be the first derivative of 0*l + 0*l**4 - 2 - 1/3*l**6 + 0*l**2 - 2/5*l**z + 0*l**3. Let n(w) = 0. What is w?
-1, 0
Suppose 2*i = -0*i + u - 5, -4*i + 25 = 5*u. Suppose i*j + 1/2*j**2 + 0 = 0. Calculate j.
0
Let k = -104159/120 - -868. Let x(o) be the third derivative of 0*o**4 - 2*o**2 + 0 + 0*o + 0*o**3 - k*o**5 + 1/210*o**7 - 1/240*o**6. Factor x(a).
a**2*(a - 1)*(2*a + 1)/2
Let g(a) = a**2 - 5*a - 2. Let x be g(6). Factor -2*q**x - 4*q - 2 + 2*q**2 - q**4 + 4*q**3 + 3.
-(q - 1)**2*(q + 1)*(3*q - 1)
Let z(b) = -6*b**2 - 12*b - 6. Let k(w) = -w**3 - w**2 + w + 1. Let r(v) = -3*k(v) + z(v). Factor r(u).
3*(u - 3)*(u + 1)**2
Suppose 0 = -5*w - 10*w + 19*w. Let k(a) be the first derivative of 2 + w*a + 0*a**2 - 2/3*a**3. Determine c so that k(c) = 0.
0
Suppose 19 = -4*a + 27. Factor -1/3 + 1/3*r**3 - r**a + r.
(r - 1)**3/3
Determine n so that 6/23 + 26/23*n**2 + 26/23*n + 6/23*n**3 = 0.
-3, -1, -1/3
Let n(v) be the second derivative of -v**9/1008 + v**8/280 - v**6/60 + v**5/40 - v**3 - 2*v. Let l(x) be the second derivative of n(x). Factor l(k).
-3*k*(k - 1)**3*(k + 1)
Suppose 2 = l - 7. Let -9 - o**3 + l + 2*o**2 - o = 0. Calculate o.
0, 1
Let w = 65 - 65. Let k(l) be the third derivative of 0 - 1/420*l**7 + 0*l**6 + 0*l**3 + 0*l**5 + w*l - 3*l**2 + 0*l**4. Factor k(t).
-t**4/2
Let k(q) be the first derivative of -q**4/12 + 2*q**3/9 - q**2/6 + 6. Factor k(f).
-f*(f - 1)**2/3
Let p(y) be the third derivative of -y**5/80 + 5*y**4/48 - y**3/8 + 9*y**2. Let p(c) = 0. Calculate c.
1/