 3*n**5 + 3*n**2 - 3*n**3 - v*n**2 - n**3 - n**4 + n**3 = 0 for n.
-1, 0, 1/3, 1
Let f be ((-3)/(-9))/(60/54). Let w(x) be the second derivative of -x + 0 + 0*x**2 + 7/45*x**6 + 0*x**3 + 1/9*x**4 + f*x**5. Factor w(d).
2*d**2*(d + 1)*(7*d + 2)/3
Factor 252 - 35 + 28*h - 21 + h**2.
(h + 14)**2
Let q be (-50)/(-24) + 14/(-7). Let m(v) be the second derivative of -2*v + q*v**4 - v**2 + 0 + 1/6*v**3. Suppose m(k) = 0. What is k?
-2, 1
Let g(a) = 9*a**4 - 17*a**3 - 5*a**2 - 13*a + 13. Let z(i) = -4*i**4 + 8*i**3 + 2*i**2 + 6*i - 6. Let y(k) = -6*g(k) - 13*z(k). Factor y(c).
-2*c**2*(c - 1)*(c + 2)
Let q = -14 + 29/2. Let d = 3/4 - q. Determine s so that s - d*s**3 - 1/4*s**5 - 2 + 5/2*s**2 - s**4 = 0.
-2, 1
Let d(i) = -i**4 + 15*i**3 - 11*i**2 + 3*i. Let z(v) = 16*v**3 - 12*v**2 + 4*v. Let j(l) = -4*d(l) + 3*z(l). Determine a, given that j(a) = 0.
0, 1, 2
Let j(r) = 2*r**2 + 2*r - 2. Let f(z) = 12*z**2 + 9*z - 4. Let x(u) = -25*u**2 - 18*u + 7. Let c(s) = 9*f(s) + 4*x(s). Let w(n) = -2*c(n) + 9*j(n). Factor w(t).
2*(t - 1)*(t + 1)
Let d(y) = -5*y**2 + 7*y + 21. Let c = -32 - -23. Let n(k) = -2*k**2 + 4*k + 10. Let x(z) = c*n(z) + 4*d(z). Let x(v) = 0. What is v?
-3, -1
Let b = -19 - -24. Let w(u) be the second derivative of u - 1/12*u**4 - 1/40*u**b + 0*u**3 + 0*u**2 + 0. Solve w(d) = 0.
-2, 0
Suppose 16 = 5*d + 1. Factor 4*j**5 + d*j - 8*j**2 + 3*j**4 - 7*j + 5*j**4.
4*j*(j - 1)*(j + 1)**3
Let w(i) = 3*i**2 + i - 2. Let m(j) = -4*j**2 - 2*j + 2. Let s(g) = -2*m(g) - 3*w(g). Suppose s(v) = 0. Calculate v.
-1, 2
Let d(p) be the second derivative of -p**8/2520 - p**7/756 - p**6/1080 + p**4/3 + 4*p. Let r(y) be the third derivative of d(y). Solve r(b) = 0.
-1, -1/4, 0
Let p(m) = 4*m**2 + m - 1. Let v be p(1). Let k(c) be the second derivative of 2*c - c**2 + 0*c**3 + 0 + 1/6*c**v. Find n such that k(n) = 0.
-1, 1
Let u(k) be the third derivative of -k**5/30 + k**4/12 + 56*k**2. Factor u(c).
-2*c*(c - 1)
Let y(j) be the first derivative of 0*j + 0*j**3 - j**6 - 6 + 0*j**2 - 1/2*j**4 - 8/5*j**5. Factor y(z).
-2*z**3*(z + 1)*(3*z + 1)
Let o(q) = q**4 + 2*q**3 - q**2 - 9*q. Let b(r) = -r. Let p(a) = -14*b(a) + 2*o(a). Solve p(t) = 0 for t.
-2, -1, 0, 1
Let y(b) = 5*b**4 + 11*b**3 + 8*b**2 - 8. Let m(l) = -3*l**4 - 7*l**3 - 5*l**2 + 5. Let x(g) = -8*m(g) - 5*y(g). Find u such that x(u) = 0.
0, 1
Let 0 + d - 2*d**2 + 4*d**3 - 4*d**2 + 3*d - d**4 - 1 = 0. Calculate d.
1
Let z(u) be the third derivative of u**5/90 + u**4/12 + 27*u**2 + u. Factor z(k).
2*k*(k + 3)/3
Suppose z - p = -0*z + 8, -4*z - 8 = 4*p. Let t(b) = 4*b**2 + b - 1. Let m be t(1). Suppose -1/4 + 5/4*f**2 - 3/4*f**z - f**m + 3/4*f = 0. What is f?
-1, 1/4, 1
Suppose -6*d = -2*d. Let k be -1 - (-4)/(8/10). Factor 2/7*i**3 + 0 - 2/7*i**5 + 0*i + 0*i**2 + d*i**k.
-2*i**3*(i - 1)*(i + 1)/7
Let c(r) be the second derivative of r**6/285 - 7*r**5/190 - 13*r. Let c(a) = 0. What is a?
0, 7
Factor 1/2*z**2 - 1/2*z**3 + 0*z + 0.
-z**2*(z - 1)/2
Factor 1/7*h**2 - 4/7*h + 0.
h*(h - 4)/7
Let y = 81 + -404/5. Let l(b) be the second derivative of 13/30*b**3 + 7/20*b**4 + 3*b + y*b**2 + 0. Factor l(i).
(3*i + 1)*(7*i + 2)/5
Let u(p) be the second derivative of p**6/90 - p**4/6 + 3*p**3/2 - 6*p. Let a(c) be the second derivative of u(c). Determine l so that a(l) = 0.
-1, 1
Factor 3/4*z**2 + 15/4 + 9/2*z.
3*(z + 1)*(z + 5)/4
Let h(a) be the first derivative of 4*a**3/3 - 2. Find z such that h(z) = 0.
0
Let r = 2 + -2. Let u = 3 + r. Factor 2*q**3 + u*q - 3*q + 0*q.
2*q**3
Let l(j) = 6*j**3 - 2*j**2 - 6*j - 3. Let q(a) = -5*a**3 + a**2 + 5*a + 3. Let v(w) = -4*l(w) - 5*q(w). Factor v(b).
(b - 1)*(b + 1)*(b + 3)
Let y(p) = p**5 + p**4 + p**3 - p - 1. Let z(j) = 7*j**5 + 28*j**4 + 35*j**3 + 20*j**2 + 6*j + 2. Let m(q) = -2*y(q) - z(q). Find x such that m(x) = 0.
-1, -2/3, 0
Let i(l) be the first derivative of -6 - 1/4*l**3 - 9/8*l**2 + 0*l. Factor i(u).
-3*u*(u + 3)/4
Let y(k) be the second derivative of -1/42*k**4 - 4/7*k**2 - 1/10*k**5 - 1/147*k**7 + 0 + 1/21*k**6 + k + 8/21*k**3. Let y(h) = 0. Calculate h.
-1, 1, 2
Let n(f) be the third derivative of f**6/100 + f**5/150 - f**4/20 - f**3/15 - 3*f**2. Suppose n(r) = 0. Calculate r.
-1, -1/3, 1
Let y(w) be the third derivative of w**5/480 - 5*w**4/192 - 9*w**2. Determine v, given that y(v) = 0.
0, 5
Let g = -2638 - -34310/13. Find y, given that 14/13*y**3 - 8/13 - 24/13*y**4 + g*y + 62/13*y**2 = 0.
-1, -2/3, 1/4, 2
Let h(c) = c**2 - 13*c + 2. Let d(f) = f**3 - 4*f**2 - 3*f + 3. Let a be d(5). Let q be h(a). Let 0 - 1/4*n**3 + 1/4*n**q + 0*n = 0. What is n?
0, 1
Let n(g) = -6*g**3 + g**2 - 8*g + 5. Let a(o) = 0*o**3 - 5*o**3 + o**3 + 3*o**3 - o + 1 - o**2. Let r(l) = 4*a(l) - n(l). Factor r(i).
(i - 1)**2*(2*i - 1)
Let r = -7 - -11. Determine w so that -4 - w**2 - 2*w**2 + r + 3*w**3 = 0.
0, 1
Let p(w) be the first derivative of -w**5/5 - 3*w**4/4 + 2*w**2 + 8. Suppose p(o) = 0. What is o?
-2, 0, 1
Let t(m) = 2*m**2 - 5*m + 3. Let k be t(3). Suppose p - k = -p. Find z such that -2*z**4 + 4*z**p + 4*z**4 - 2*z**3 = 0.
-1, 0
Suppose 0 = -5*n - 0*n - 10, w = 4*n + 10. Let d(j) be the second derivative of 0*j**w + 0*j**3 + 1/24*j**4 - 2*j + 0. Factor d(c).
c**2/2
Let t = -12 + 15. Suppose 2*s**4 - 3*s**2 - s**3 + s**4 - s - 2*s + 4*s**t = 0. What is s?
-1, 0, 1
Let b(d) = 2*d**4 + 8*d**3 + 10*d**2 + d - 3. Let q(x) = -10*x**4 - 40*x**3 - 50*x**2 - 6*x + 14. Let j(u) = 14*b(u) + 3*q(u). Factor j(l).
-2*l*(l + 1)**2*(l + 2)
Let d(i) be the first derivative of i**4/2 - 2*i**3/3 - 6*i**2 + 9. Factor d(z).
2*z*(z - 3)*(z + 2)
Factor 0 - 9/4*x + 3/4*x**2.
3*x*(x - 3)/4
Let g(t) = -12*t**2 - 12*t - 6. Let c(q) = -q**2 - q - 1. Let j(v) = -20*c(v) + 2*g(v). Factor j(w).
-4*(w - 1)*(w + 2)
Let c(l) = 10*l**2 + 32*l + 14. Let r(u) = -3*u**2 - 11*u - 5. Let i(x) = -3*c(x) - 8*r(x). Factor i(a).
-2*(a + 1)*(3*a + 1)
Let m(b) be the second derivative of -b**4/102 + 4*b**3/51 - 3*b**2/17 + 15*b. Find t such that m(t) = 0.
1, 3
Factor -7*q**2 + 4*q - 4*q**4 - 8*q**2 + 12*q**3 + 3*q**2.
-4*q*(q - 1)**3
Let m = 197 + -195. Factor 1/4*r - 1/4*r**m + 0.
-r*(r - 1)/4
Let w(l) be the first derivative of 1/4*l**3 + 0*l + 6 - 1/16*l**4 - 1/4*l**2. Factor w(j).
-j*(j - 2)*(j - 1)/4
Let g be (-7)/((-14)/(-6)) - -3. Suppose -2*n - 4 = 3*b - g*b, 0 = 2*b + 2*n + 6. What is w in 0 - 2/9*w**3 - 8/9*w**b - 8/9*w = 0?
-2, 0
Let b(r) = -r**2. Let z be ((-1)/3)/((-1)/(-3)). Let c(d) = -6*d**2 - 8*d - 8. Let t(g) = z*c(g) + 4*b(g). Solve t(l) = 0.
-2
Let n be ((-10)/25)/((-4)/(-265)). Let i = 27 + n. Suppose -1/4*a - 1/4*a**2 + i = 0. Calculate a.
-2, 1
Let f(i) be the second derivative of -i**6/60 + 2*i**5/5 - 8*i**4/3 - 9*i + 4. Determine v, given that f(v) = 0.
0, 8
Let t(j) = -j. Let o(k) = -2*k**4 - 2*k**3 + 10*k**2 - 2*k. Suppose -d = -6*d + 5. Let l(a) = d*o(a) + 4*t(a). Factor l(h).
-2*h*(h - 1)**2*(h + 3)
Let i(q) be the third derivative of -q**10/37800 + q**8/5040 + q**5/20 + 6*q**2. Let s(r) be the third derivative of i(r). Factor s(c).
-4*c**2*(c - 1)*(c + 1)
Let r(f) be the third derivative of 0 + 0*f**6 - 1/1050*f**7 + 0*f**5 + 0*f**3 - 7*f**2 + 0*f**4 + 0*f. Factor r(u).
-u**4/5
Suppose 3*o + 3*d = 27, -d = -0*o + 5*o - 25. Let s be -3 + (-9)/(-12)*o. Factor s*m**2 + 0 + 0*m - 2/9*m**4 - 2/9*m**5 + 0*m**3.
-2*m**4*(m + 1)/9
Let p be -23 + 28 + 31*(-1)/7. Solve 0*a**2 - 2/7*a**4 + p*a**3 - 4/7*a + 2/7 = 0 for a.
-1, 1
Let u(s) be the third derivative of -s**6/90 - s**5/15 - s**4/6 - 2*s**3/9 + 8*s**2. Factor u(p).
-4*(p + 1)**3/3
Find s such that -1/2*s**3 + 3/2*s - s**2 + 0 = 0.
-3, 0, 1
Let q(u) be the first derivative of u**6/36 - u**5/6 + 5*u**4/12 - 5*u**3/9 + 5*u**2/12 - u/6 + 8. Factor q(p).
(p - 1)**5/6
Let d(x) = -5*x**4 + 4*x**3 + 18*x**2 - 2*x - 5. Let g(v) = 14*v**4 - 12*v**3 - 52*v**2 + 5*v + 14. Let n(p) = -17*d(p) - 6*g(p). Factor n(t).
(t + 1)**4
Let i(n) = n + 10. Suppose 0 = 3*b - 5*b - 16. Let g be i(b). Factor -2 + 2 + 0 + 2*h**2 + g*h**3.
2*h**2*(h + 1)
Suppose 7*i - 8 = 5*i. Let k(c) be the first derivative of -1/2*c**2 - 1/3*c**3 + 2 + 1/4*c**i + c. Find l, given that k(l) = 0.
-1, 1
Let q(a) be the second derivative of a**5/40 + a**4/24 + 25*a. Factor q(c).
c**2*(c + 1)/2
Suppose -22 + 28 = 2*j. Factor 0 + 9/4*n**j + 3/2*n**2 + 1/4*n.
n*(3*n + 1)**2/4
Let 1/3*g*