*4 + 26*x**4 - 390*x**3 + 5*x**3 - 20*x - 246*x**4 = 0.
-1, -2/7, 0
Let m be (-24)/(-2)*(-22)/(-132). Factor -2/5*h + 2/5*h**3 - 1/5 + 0*h**m + 1/5*h**4.
(h - 1)*(h + 1)**3/5
Let a(k) be the first derivative of k**7/420 - k**5/60 - 3*k**3 - 2. Let o(f) be the third derivative of a(f). Find m, given that o(m) = 0.
-1, 0, 1
Let a(f) = -f**5 - 7*f**4 - 3*f**3 - f**2 - 4. Let d(j) = -6*j**5 - 36*j**4 - 15*j**3 - 6*j**2 - 21. Let p(o) = 21*a(o) - 4*d(o). Solve p(k) = 0 for k.
-1, 0, 1
Let x(s) be the first derivative of -s**6/18 + s**5/15 + s**4/12 - s**3/9 + 5. Factor x(f).
-f**2*(f - 1)**2*(f + 1)/3
Let b(l) be the third derivative of l**7/525 + l**6/150 - l**5/50 - l**4/15 + 4*l**3/15 + 5*l**2. Solve b(m) = 0.
-2, 1
Let r(o) = 2*o**2 - 2*o - 4. Let j be r(-2). Determine v so that 3*v + 11 - 7 - 11*v - 25*v**2 + 21*v**4 + j*v**3 = 0.
-1, -2/3, 2/7, 1
Let v(m) be the first derivative of -9*m**6/8 + 9*m**5/5 + 3*m**4/8 - m**3 - 3*m**2/8 + 9. Factor v(t).
-3*t*(t - 1)**2*(3*t + 1)**2/4
Factor 270 + 15*u + 90*u**2 + 5*u**5 + 70*u**3 - 271*u + 10*u**3 - 149*u - 40*u**4.
5*(u - 3)**3*(u - 1)*(u + 2)
Let w(c) be the second derivative of -c**7/21 - 2*c**6/15 - 10*c. Factor w(x).
-2*x**4*(x + 2)
Let u be (-134)/(-469)*28/30. Factor 4/15*x**3 - 2/15 + u*x**2 - 2/15*x - 2/15*x**4 - 2/15*x**5.
-2*(x - 1)**2*(x + 1)**3/15
Let w(d) be the second derivative of -d**4/54 + 7*d**3/27 - 10*d**2/9 + 40*d. Let w(n) = 0. Calculate n.
2, 5
Let h(m) = 2*m**2 - 3*m + 1. Let a be h(2). Suppose 5*v - a*v - 4 = 0. Let v*g - 2*g**2 + 2*g**3 + g**3 + 2 - 5*g**3 = 0. Calculate g.
-1, 1
Let p = 1 + 2. Suppose 3*k + 0*i - 3*i = p, 0 = 5*i - 15. Factor -4*h**3 - 3 + 2 + 4*h - 1 + 2*h**k.
2*(h - 1)**3*(h + 1)
Suppose 5*a = -2*x + 20 - 1, 4*a - 3*x = 6. Suppose 3 = 2*j + 3*p, 3*j + 4*p - 2 = j. Let 3*q**4 + 3*q**3 + q**5 + a*q + 0*q**j + q**2 - 3*q = 0. What is q?
-1, 0
Let z be 2 + (2 - 2) + -1. Suppose 2 + z = f. Factor 0*o**2 - 1/5*o - 1/5*o**5 + 0 + 0*o**4 + 2/5*o**f.
-o*(o - 1)**2*(o + 1)**2/5
Let t(u) be the first derivative of -u**5/4 + u**4/4 + u**3/12 - 2. Let t(i) = 0. Calculate i.
-1/5, 0, 1
Factor 2/11*f**2 + 2/11 - 4/11*f.
2*(f - 1)**2/11
Let t be 12/(-2 + 0) + 2. Let k be t/(-2) + (-32)/18. Factor -2/9*v**4 + 0*v**3 + 0*v - k + 4/9*v**2.
-2*(v - 1)**2*(v + 1)**2/9
Let t(u) be the third derivative of -u**8/56 + 2*u**7/35 - u**6/20 - 2*u**5/135 + u**4/27 - 34*u**2. Suppose t(z) = 0. Calculate z.
-1/3, 0, 2/3, 1
Let u(q) be the first derivative of 0*q**4 - 1/12*q**3 + 0*q**2 + 0*q + 3 + 1/20*q**5. Factor u(y).
y**2*(y - 1)*(y + 1)/4
Let b = -76/11 + 402/55. Factor 2/5*h**3 - 2/5*h - 2/5*h**2 + b*h**4 + 0.
2*h*(h - 1)*(h + 1)**2/5
Let x(d) = d**3 + d + 3. Let r be x(0). Suppose -r*t - 3*p = -18, -5*t + 3*p + 14 = 4*p. Solve -2*c**t + 0 + 4/7*c = 0 for c.
0, 2/7
Let k(c) be the second derivative of c**5/80 + 5*c**4/48 + c**3/3 + c**2/2 - c. Let k(r) = 0. Calculate r.
-2, -1
Let i = -2868/5 + 574. Find q, given that 3/5*q**2 + i*q - 1/5 = 0.
-1, 1/3
Let t(x) be the second derivative of 0*x**2 + 0*x**3 + 0 + 1/30*x**5 + 1/18*x**4 + 2*x. Factor t(u).
2*u**2*(u + 1)/3
Let g(t) = 55*t**4 - 120*t**3 + 65*t**2 + 45*t + 45. Let h(m) = -5*m**4 + 11*m**3 - 6*m**2 - 4*m - 4. Let r(j) = 4*g(j) + 45*h(j). Find z, given that r(z) = 0.
0, 1, 2
Let c be (-1832)/840 + (-1)/5. Let d = -12/7 - c. Factor -8/3*m - d*m**2 - 8/3.
-2*(m + 2)**2/3
Let d = 3/131 - -646/393. Factor -4/3 - 8/3*m + d*m**2.
(m - 2)*(5*m + 2)/3
Let y = 52 - 52. Find k such that 2*k**2 - 4/5*k + y = 0.
0, 2/5
Let z be 111/60 + 4/(-16). Let l be (-12)/(-15)*(-1)/(-4). What is f in 0 - z*f**2 + 3/5*f**4 - 4/5*f - l*f**3 = 0?
-1, -2/3, 0, 2
Let s(w) be the second derivative of -w**5/30 - w**4/9 - 3*w. Factor s(l).
-2*l**2*(l + 2)/3
Suppose 0 = -g - 6 + 2. Let y be -10*-4*g/(-120). Factor y*p**2 + 0*p + 0 + 2/3*p**3.
2*p**2*(p + 2)/3
Let s(b) be the second derivative of b**4 + 2*b**3/3 - 8*b**2 - 4*b. Factor s(p).
4*(p - 1)*(3*p + 4)
Let x(w) = 9*w**4 - 18*w**3 - 15*w**2 + 18*w + 1. Let p(h) = 14*h**4 - 27*h**3 - 22*h**2 + 27*h + 1. Let t(i) = -5*p(i) + 7*x(i). Factor t(z).
-(z - 1)**2*(z + 1)*(7*z - 2)
Find m such that -2/17*m**2 + 0*m + 8/17 = 0.
-2, 2
Let q(r) = 8*r**2 + 2*r + 6. Let w(x) = -x**2 - 1. Suppose 3*d + 3*y = -6, 2 = -2*y - 0*y. Let n(u) = d*q(u) - 6*w(u). Let n(k) = 0. What is k?
-1, 0
Let g(j) be the first derivative of j**4/14 + 4*j**3/7 + 9*j**2/7 + 8*j/7 - 16. Let g(s) = 0. Calculate s.
-4, -1
Suppose -u - 6 = -0*u. Let t(b) = -3*b**2 - b + 5. Let x(q) = 4*q**2 + 2*q - 6. Let v = 10 + -15. Let j(i) = u*t(i) + v*x(i). Factor j(y).
-2*y*(y + 2)
Suppose 4*d = -904 + 344. Let j = 982/7 + d. Determine l so that 0 - 2/7*l**3 + j*l + 0*l**2 = 0.
-1, 0, 1
Let q(w) = w**3 + 19*w**2 + 18*w. Let g be q(-18). Factor -1/2*u**2 + 0 + g*u.
-u**2/2
Let c(d) be the second derivative of 0*d**4 + d**2 - 1/240*d**5 - 2*d + 0*d**3 + 0. Let m(y) be the first derivative of c(y). Factor m(l).
-l**2/4
Let s(l) be the second derivative of l**5/420 + l**4/168 - l**3/21 - 3*l**2 - 3*l. Let f(w) be the first derivative of s(w). Let f(z) = 0. Calculate z.
-2, 1
Factor 0 + 16/5*b**3 + 0*b + 2/5*b**5 - 2*b**4 - 8/5*b**2.
2*b**2*(b - 2)**2*(b - 1)/5
Let x = 20 + -15. Suppose t + t**5 - 3*t**x - t**2 + 2*t**4 - t**2 + t**5 = 0. Calculate t.
-1, 0, 1
Suppose 0 = -48*j + 65*j - 51. Factor 13/3*h**2 - h**j - 16/3*h + 4/3.
-(h - 2)**2*(3*h - 1)/3
Let h = 6977/1074 - -2/537. Factor h*k**2 + 2 - 3*k**3 + 1/2*k**4 - 6*k.
(k - 2)**2*(k - 1)**2/2
Let u(t) be the first derivative of -9*t**6 - 162*t**5/5 - 45*t**4 - 92*t**3/3 - 11*t**2 - 2*t + 3. Factor u(y).
-2*(y + 1)**2*(3*y + 1)**3
Let l(v) = 10*v**3 - 10*v**2. Let j(u) = u**3 - u**2. Let i(r) = -5*j(r) + l(r). Suppose i(m) = 0. Calculate m.
0, 1
Let m = -3 + 4. Suppose -j - 5*r = -0*j + m, 2*r = 5*j - 22. Factor -3*n**3 + 6*n**3 - j*n**3 + 8 - 12*n + 3*n**2 + 3*n**2.
-(n - 2)**3
Let j = -51 - -56. Factor 0*c**3 + 2/7*c**j - 2/7*c + 4/7*c**2 - 4/7*c**4 + 0.
2*c*(c - 1)**3*(c + 1)/7
Let w be (-100)/180*(-3)/20. Let o(q) be the third derivative of q**2 + 0 + 0*q + w*q**4 + 1/60*q**5 + 0*q**3. What is n in o(n) = 0?
-2, 0
Let f(g) be the second derivative of 2*g**7/7 - 8*g**6/15 - 2*g**5/5 + 4*g**4/3 - 2*g**3/3 + 7*g. Let f(x) = 0. What is x?
-1, 0, 1/3, 1
Let g(n) = 6*n**2 + 24*n - 56. Let s = -4 - -8. Let j = -1 + s. Let v(o) = o**2 + 5*o - 11. Let a(f) = j*g(f) - 16*v(f). Let a(h) = 0. Calculate h.
2
Let j be ((-9)/15 - -1)/1. Factor 4/5*u**3 + 2/5*u**4 - 4/5*u - j + 0*u**2.
2*(u - 1)*(u + 1)**3/5
Factor -5/3*p**4 + p**5 + 1/3*p**2 + 1/3*p**3 + 0*p + 0.
p**2*(p - 1)**2*(3*p + 1)/3
Let x(d) be the first derivative of 3 - 16/5*d**3 + 13/5*d**2 + 9/10*d**4 - 4/5*d. Solve x(o) = 0 for o.
1/3, 2
Suppose -5 - 7 = -4*n. Solve 3*c**2 + 23*c**4 - c**3 - 26*c**4 + 4*c**n - 3*c**5 = 0 for c.
-1, 0, 1
Factor 2/7*l**2 + 0*l - 2/7.
2*(l - 1)*(l + 1)/7
Let 15/8*o**3 + 0 + 3*o**4 + 1/4*o**2 + 0*o - 2*o**5 = 0. What is o?
-1/4, 0, 2
Let w(z) be the third derivative of z**5/40 + z**4/2 - 26*z**2. Factor w(n).
3*n*(n + 8)/2
Let o(a) = -a**3 + 3*a**2 + 3*a + 7. Let j be o(4). Solve 2/3 + 2*t + 2/3*t**j + 2*t**2 = 0.
-1
Find q, given that -47*q - 7*q**3 + 36 - 32*q + 19*q + 3*q**3 + 28*q**2 = 0.
1, 3
Determine a, given that 2/7 - 4/7*a**2 + 2/7*a = 0.
-1/2, 1
Let j(s) = 7*s**4 - 5*s**3 + 2*s**2 - 2. Let b(a) = -36*a**4 + 24*a**3 - 10*a**2 + 11. Let x(u) = -4*b(u) - 22*j(u). Let x(r) = 0. What is r?
0, 2/5, 1
Suppose -m**2 + 4*m**3 + 8*m**3 + 3*m**5 + 3*m + 6*m**3 + 13*m**2 + 12*m**4 = 0. Calculate m.
-1, 0
Factor -1/6*o**4 + 0 + 1/6*o**2 + 0*o**3 + 0*o.
-o**2*(o - 1)*(o + 1)/6
Let z(c) be the third derivative of c**6/200 - c**5/100 - c**4/40 + c**3/10 + 2*c**2. Let z(r) = 0. What is r?
-1, 1
Let t(z) be the first derivative of -z**6/33 + z**4/11 - z**2/11 + 20. Factor t(y).
-2*y*(y - 1)**2*(y + 1)**2/11
What is w in 2 + 78*w + 44*w**2 + 22*w + 22 = 0?
-2, -3/11
Let w(d) = -6*d + 380. Let z be w(63). Solve -3/2*y**z - 1/4*y**4 - y**3 - 1/4 - y = 0.
-1
Let o(r) be the second derivative of 1/40*r**5 + 2*r + 1/24*r**4 + 0 + 0*r**2 - 1/60*r**6 - 1/12*r**3. Factor o(h).
-h*(h - 1)**2*(h + 1)/2
Let t(z) = -2*z**4 + 8*z**3 + 12*z**2 + 4*z. Let x(y) = y**5 - 6*y**4 + 25*y**3 + 37*y**2 + 12*y. Let q(d) = -7*t(d) + 2*x(d)