 - 6*z - 11*z**4 + 8*z**4 - z**3 = 0.
-1, 1
Let m(f) be the first derivative of 1/16*f**4 + 0*f**2 + 0*f - 3 + 0*f**5 + 0*f**3 - 1/24*f**6. Suppose m(z) = 0. Calculate z.
-1, 0, 1
Let q(n) = 5*n**2 + 6*n + 5. Suppose h - 4 = 2*h. Let f(r) = 14*r**2 + 17*r + 14. Let a(z) = h*f(z) + 11*q(z). Let a(c) = 0. What is c?
-1
Suppose 2*n = -4*d + 56, -3*n = -d + 2*n - 8. Suppose -d = 5*s + 4*m, 2*m + 3 = -3. Find y, given that 5/2*y**4 + y**5 - 1/2*y**2 - 1/2*y + s + 3/2*y**3 = 0.
-1, 0, 1/2
Let k be (2/3)/(-1 - 119/(-105)). Let g(h) be the third derivative of -h**2 - 1/120*h**6 + 0*h**4 + 0*h + 0*h**3 + 0 + 1/60*h**k. Factor g(p).
-p**2*(p - 1)
Let b(d) be the third derivative of d**5/15 + d**4 - 14*d**3/3 + 11*d**2. Determine m, given that b(m) = 0.
-7, 1
Let b be 12/45*25/10. Let -1/3*v**2 + b*v - 1/3 = 0. Calculate v.
1
Let q be 2/6 - (-5)/(-15). Suppose -v = -q*v. Factor -1/3*o**2 + 2/3*o + v.
-o*(o - 2)/3
Let c(r) be the first derivative of 4*r**5/5 - r**4 - 12*r**3 - 22*r**2 - 16*r + 2. Solve c(o) = 0.
-1, 4
Let i(u) = -3*u**2 + 3. Let h(m) = 9 - 5 - 4*m**2 + 0. Let c(o) = -2*h(o) + 3*i(o). Factor c(d).
-(d - 1)*(d + 1)
Let b(u) = 144*u**3 + 78*u**2 - 27*u + 27. Let d(v) = 11*v**3 + 6*v**2 - 2*v + 2. Let n(i) = -2*b(i) + 27*d(i). Factor n(c).
3*c**2*(3*c + 2)
Suppose 2*g = g + 2. Let d(f) be the second derivative of -f + 0 + 1/24*f**4 - 1/6*f**3 + 1/4*f**g. Determine r so that d(r) = 0.
1
Let p(z) be the third derivative of -z**8/840 - z**7/75 - z**6/20 - 13*z**5/150 - z**4/15 + 31*z**2. Determine n, given that p(n) = 0.
-4, -1, 0
Let j be 105/1050 - 22/(-5). Determine a, given that -3 - j*a - 3/2*a**2 = 0.
-2, -1
Find k such that -3/2*k - k**2 + 0 + 1/2*k**3 = 0.
-1, 0, 3
Let p(d) be the first derivative of -3 + 0*d**3 + 0*d**2 + 2/5*d**5 + 0*d + 1/2*d**4. Factor p(w).
2*w**3*(w + 1)
Solve 8*h**2 + 10*h**2 - 1 - 2 + 10*h**3 + 14*h + 2*h**4 + 7 = 0.
-2, -1
Let a(x) be the second derivative of -x**6/12 - x**5/20 - 12*x. Find q such that a(q) = 0.
-2/5, 0
Let r(g) = 5*g**5 - 8*g**4 - 25*g**3 + 8*g**2 + 40*g + 17. Let m(j) = -j**4 + j**2 - 1. Let c(o) = -3*m(o) + r(o). Factor c(u).
5*(u - 2)**2*(u + 1)**3
Let k(w) = 12*w**4 + 42*w**3 + 48*w**2 + 18*w. Let m(t) = t**3 + t**2 - t - 1. Let d(o) = -k(o) + 3*m(o). Factor d(s).
-3*(s + 1)**3*(4*s + 1)
Let b(l) be the first derivative of l**6/33 - 3*l**4/22 - 4*l**3/33 - 17. Solve b(a) = 0 for a.
-1, 0, 2
Let w(g) be the first derivative of -2*g**5/15 - 5*g**4/12 - 2*g**3/9 + 11. Let w(u) = 0. Calculate u.
-2, -1/2, 0
Let j(y) = -5*y**2 + 7*y - 3. Let b be j(-7). Let l be 1/(-5) + b/(-385). Factor -6/7*k**3 - l*k**2 + 2/7*k + 0.
-2*k*(k + 1)*(3*k - 1)/7
Let q(p) = 2*p**4 + 2*p**3 - 2*p**2 + 3*p. Let a(w) = 3*w**4 + 2*w**3 - 3*w**2 + 2*w. Let n(u) = 5*a(u) - 4*q(u). Let n(y) = 0. Calculate y.
-1, -2/7, 0, 1
Factor 8*c + 1/3*c**3 - 3*c**2 - 16/3.
(c - 4)**2*(c - 1)/3
Let m = -12 - -17. Factor 46*x**3 - 2*x + 10*x**3 + m*x**2 - 4 - 2*x**2 + 37*x**2.
2*(2*x + 1)**2*(7*x - 2)
Let z be (-297)/154*(1 - 23/3). Factor 48/7*s + 8/7 + 50/7*s**3 + z*s**2.
2*(s + 1)*(5*s + 2)**2/7
Let i(l) be the third derivative of -l**6/480 + l**4/8 - 2*l**3/3 - 10*l**2. Find n such that i(n) = 0.
-4, 2
Let j(q) be the first derivative of 25*q**6/9 - 4*q**5 - 11*q**4/6 + 8*q**3/3 + 4*q**2/3 - 7. Determine l, given that j(l) = 0.
-2/5, 0, 1
Let b(r) = r + 2. Let k be b(-8). Let d be k/(-27) - (-2)/(-9). Factor 2/3*p**3 - 2/3*p + d + 0*p**2.
2*p*(p - 1)*(p + 1)/3
Solve -4 + 6*i**2 + 2*i**3 + 4*i - i**4 + 0*i**2 + 9*i**2 - 4*i**4 = 0.
-1, 2/5, 2
Let x be -2*(-5 - (-49)/14). Factor 9/5*o + 6*o**2 + 1/5 + 33/5*o**4 + 9/5*o**5 + 46/5*o**x.
(o + 1)**3*(3*o + 1)**2/5
Let i = -2/77 - -85/308. Suppose 4*u - 28 = 2*b - 6*b, 2*u + 16 = 4*b. Factor 1/2*x**3 + 1/4 - 1/2*x**u + 1/4*x**4 - i*x - 1/4*x**5.
-(x - 1)**3*(x + 1)**2/4
Suppose 0 = 4*d - 7*d - 630. Let u be (-1029)/d - (-2)/(-5). Solve -7/2*k**4 + u*k + 5/2*k**2 + 1 - 9/2*k**3 = 0.
-1, -2/7, 1
Let f(o) be the second derivative of o**8/336 - o**6/40 + o**5/30 - 3*o**2 + o. Let m(b) be the first derivative of f(b). Factor m(i).
i**2*(i - 1)**2*(i + 2)
Let n(j) be the third derivative of -j**6/180 - j**5/30 + 4*j**3/9 - 27*j**2. Determine v, given that n(v) = 0.
-2, 1
Let y = 148/99 - 14/11. Let 2/9*g**2 + y*g + 0 = 0. What is g?
-1, 0
Let v(x) = -x**3 + 7*x**2 - x + 10. Let l be v(7). Let s = l + -3. Let -1/3*n**2 - 4/3*n**3 + s + 0*n = 0. What is n?
-1/4, 0
Let h be 1/2*(-24 + 27). Factor 0*j**4 - h*j + 0*j**2 - 3/2*j**5 + 0 + 3*j**3.
-3*j*(j - 1)**2*(j + 1)**2/2
Let u(t) = -t**2 - 5*t - 4. Let o be u(-4). Let g be o - (0 - 3 - -1). Factor -2*z**g + 1 + 4*z + 0*z**2 - 3.
-2*(z - 1)**2
Let m(g) be the third derivative of g**8/1008 + 2*g**7/315 + g**6/90 + 15*g**2. Find z such that m(z) = 0.
-2, 0
Let y = 15 + -179/12. Let r(h) be the first derivative of -3 + 1/8*h**2 + 0*h - y*h**3. Factor r(o).
-o*(o - 1)/4
Let o = 143/672 - -7/96. Factor 2/7*x**2 + o*x - 4/7.
2*(x - 1)*(x + 2)/7
Let b(y) = 4*y**2 + 4*y - 14. Let t(w) = 1. Let o(n) = b(n) + 6*t(n). Factor o(q).
4*(q - 1)*(q + 2)
Let t = 448/2771 - -12/163. Factor 0 + t*s - 2/17*s**2.
-2*s*(s - 2)/17
Let z be 6/(-3)*-5*(-9)/(-270). Factor z*m**2 + 0*m + 0.
m**2/3
Factor 81*m + 189*m**2 - 53 - 36 - 3 - 70 + 9*m**4 + 75*m**3.
3*(m + 3)**3*(3*m - 2)
Suppose 0 = -5*j + 4*w + 26, -5*j - 2*w = -16 - 16. Let s(g) be the second derivative of 0*g**4 + 0*g**5 + 0*g**3 + 0 - 2*g + 0*g**2 - 1/120*g**j. Factor s(r).
-r**4/4
Let b be 0/(1*(0 - 1)). Factor 4*h**2 - h**3 - 3*h**2 + h**4 + b*h**4 - 3*h**2.
h**2*(h - 2)*(h + 1)
Let -o - 5*o**2 + 5*o**3 - 5*o**2 - 20 - 34*o = 0. Calculate o.
-1, 4
Let j be 14*(-1)/(-2) - 2. Suppose 4*c = -3*f + 5, -j = -0*c - 2*c + f. Determine i so that -2*i**2 - 2*i + i**2 + 4*i**c + 4 - 6*i = 0.
2/3, 2
Suppose -4*k = -m - 17, 5*k = 3*m - 0*m + 16. Let j(n) be the third derivative of 1/96*n**4 + n**2 + 0*n - 1/24*n**m + 0 + 1/240*n**5 - 1/480*n**6. Factor j(h).
-(h - 1)**2*(h + 1)/4
Let q(o) = -2*o**3 + 3*o**2 + 5*o + 6. Let u be 4/(-6) + 70/6. Let x(w) = -4*w**3 + 6*w**2 + 9*w + 11. Let t(j) = u*q(j) - 6*x(j). Factor t(v).
v*(v - 1)*(2*v - 1)
Let b(o) = o**3 - 6*o**2 + 15*o - 48. Let z be b(5). Find c, given that -2/3*c + 0*c**3 - 1/3*c**4 + 0 + c**z = 0.
-2, 0, 1
Factor 1/4*r**2 + 0*r + 0*r**3 + 0 - 1/4*r**4.
-r**2*(r - 1)*(r + 1)/4
Let q(z) = z**3 - 4*z**2 + 4*z + 1. Let c be q(3). Solve -k + k + 2*k**2 + 2*k - c*k - 4 = 0.
-1, 2
Let d(r) be the second derivative of 2*r**4/33 - 4*r**3/33 + r**2/11 - 17*r + 3. Factor d(h).
2*(2*h - 1)**2/11
Let k be (-10)/(-2) + 238/(-51). Factor h - h**2 - k + 1/3*h**3.
(h - 1)**3/3
Let b = 2 - 30. Let y be 0 - 0 - 7/b. Solve 1/2 - 1/4*l**2 - y*l = 0 for l.
-2, 1
Factor -u + 10 + 7*u**2 + 6*u - 2*u**2 + 10*u.
5*(u + 1)*(u + 2)
Suppose 4*t - 13 - 7 = 0. Let d be (t/(-2))/(5/(-10)). Determine j, given that 28*j**3 + 51*j + d*j + 60*j**2 + 16 - 10*j**3 = 0.
-2, -2/3
Let x(k) = -4*k**2 - 6*k + 10. Let s(o) = -5*o**2 - 6*o + 11. Let d(t) = 6*s(t) - 7*x(t). Factor d(r).
-2*(r - 2)*(r - 1)
Let y = -10 - -12. Factor -15*g - 3 + 21*g - y*g**2 - g**2.
-3*(g - 1)**2
Factor 7*l**2 + 2*l**2 + 2*l**2 - 8*l**2.
3*l**2
Suppose 5*o - 4*o = 0, t = 4*o. Let c(g) be the first derivative of -1/2*g**2 - 2/3*g**3 + t*g + 1 - 1/4*g**4. Factor c(l).
-l*(l + 1)**2
Let o(v) be the first derivative of -v**5/70 + v**4/42 + 2*v**3/21 - 6*v - 5. Let t(b) be the first derivative of o(b). Factor t(k).
-2*k*(k - 2)*(k + 1)/7
Let a(u) be the third derivative of -1/360*u**6 - 1/90*u**5 + 1/315*u**7 + 0*u + 0 + 1/72*u**4 + 0*u**3 - 9*u**2. Suppose a(k) = 0. What is k?
-1, 0, 1/2, 1
Let z = 18/257 - 6235/4626. Let y = 1/18 - z. Factor -1/3*c**2 + 4/3*c - y.
-(c - 2)**2/3
Let o(s) be the first derivative of 9*s**5/25 + 3*s**4/4 - 14*s**3/5 - 6*s**2 + 24*s/5 - 31. Let o(k) = 0. Calculate k.
-2, 1/3, 2
Let r(i) = -i**2 + 2*i - 1. Let y be r(3). Let u = y - -7. Factor -l**2 - 3*l**2 - 6*l**3 + 1 + u*l**2 + 2*l**3 + 4*l.
-(l - 1)*(l + 1)*(4*l + 1)
Let y(c) = -2*c**2 - 9*c + 1. Let j(o) = -3*o**2 - 14*o + 1. Let i(v) = -5*j(v) + 8*y(v). Solve i(m) = 0.
-3, 1
Let w(r) be the second derivative of r**10/60480 - r**8/6720 + r**6/1440 + r**4/4 - 2*r. Let g(k) be the third derivative of w(k). Factor g(n).
n*(n - 1)**2*(n + 1)**2/2
