-2*b*(b - 1)/5
Determine w, given that w - 3*w**3 + 9/4*w**4 + 1/4 - 1/2*w**2 = 0.
-1/3, 1
Let s(t) be the third derivative of 0*t + 0 + 3/112*t**8 + 1/10*t**5 + 1/8*t**4 - 1/10*t**6 - 1/35*t**7 - t**2 + 0*t**3. Let s(x) = 0. Calculate x.
-1, -1/3, 0, 1
Let a(x) be the second derivative of -5*x + 0 - 1/66*x**4 + 1/110*x**5 + 0*x**2 + 1/165*x**6 - 1/33*x**3. What is s in a(s) = 0?
-1, 0, 1
Let g be ((-2)/(-18))/(10/12). Let q(x) be the second derivative of g*x**3 + 1/30*x**4 + 0*x**2 + 0 - x. Determine n, given that q(n) = 0.
-2, 0
Let n(w) be the second derivative of 10*w - 1/3*w**2 - 5/18*w**3 + 1/12*w**4 + 0. Solve n(l) = 0.
-1/3, 2
Let t(m) be the third derivative of -m**6/540 + 7*m**5/270 - 4*m**4/27 + 4*m**3/9 + 8*m**2. Solve t(n) = 0 for n.
2, 3
Let n(j) = 3*j**5 + 11*j**4 + 4*j**3 - 8*j**2 - 11*j - 1. Let t(g) = 15*g**5 + 56*g**4 + 19*g**3 - 41*g**2 - 56*g - 4. Let w(i) = 11*n(i) - 2*t(i). Factor w(x).
3*(x - 1)*(x + 1)**4
Let h = 2057/3612 - -1/516. Suppose 18/7*w**4 - h*w**3 + 12/7*w - 8/7*w**5 - 2/7 - 16/7*w**2 = 0. What is w?
-1, 1/4, 1
Let o(h) be the third derivative of h**5/60 + h**4/12 - h**3/2 - 3*h**2. Determine t so that o(t) = 0.
-3, 1
Suppose 17 = -5*x - 4*l - 9, l = -3*x - 10. Let s(a) = -a**2 - 4*a - 1. Let r be s(x). Let 0*k**2 - 2/3*k**r + 0 - 5/3*k**4 + 0*k - k**5 = 0. What is k?
-1, -2/3, 0
Factor -3/4 - 1/4*m**2 - m.
-(m + 1)*(m + 3)/4
Let h(r) be the third derivative of -r**7/210 + r**5/30 - r**3/3 + 8*r**2. Let y(u) be the first derivative of h(u). Determine i, given that y(i) = 0.
-1, 0, 1
Suppose -3/2*m**4 - 4 + 4*m**3 + 17/2*m**2 - m = 0. Calculate m.
-1, 2/3, 4
Let s(k) = k**3 + k**2 - k - 1. Let w(g) = -4*g**3 - 6*g**2 + g + 3. Let i(q) = -6*s(q) - 2*w(q). Factor i(h).
2*h*(h + 1)*(h + 2)
Let q be 32/(-72)*27/(-21). Factor -q + 6/7*d - 2/7*d**2.
-2*(d - 2)*(d - 1)/7
Let j(c) be the first derivative of 2*c**3/21 + c**2/7 - 4*c/7 - 10. Factor j(g).
2*(g - 1)*(g + 2)/7
Let j(l) = -l**4 + l**3 + l**2 + l. Let v be 3 + 1*(-3 - 1). Let a(f) = f**5 - f**4 - f**3 + f**2 + 2*f. Let n(s) = v*a(s) + j(s). Factor n(q).
-q*(q - 1)**2*(q + 1)**2
Let d = -23 + 15. Let n = d + 11. Let 3/2*x**5 + 1/2*x - 2*x**4 - 2*x**n - 1 + 3*x**2 = 0. Calculate x.
-1, -2/3, 1
Let m be 53/3 - 4/6. Suppose -3*q = -5*o + 14, 2*q + 3*o = -1 + m. Suppose 4 + 4*n**2 - 3*n**q - 5 = 0. Calculate n.
-1, 1
Determine z, given that -4*z - 2 - z**2 - 3*z**2 + 2 = 0.
-1, 0
Let y(h) = 2*h**3 - 3*h**2 + h. Let f be y(2). Factor b + 10*b**3 + 5*b + 8*b**2 + f*b**2 + 0*b + 2*b**4.
2*b*(b + 1)**2*(b + 3)
Factor 16/5 + 24/5*s + 2/5*s**3 + 12/5*s**2.
2*(s + 2)**3/5
Let g(q) be the first derivative of q**4 - 4*q**3/3 - 8*q**2 + 16*q - 9. Solve g(c) = 0 for c.
-2, 1, 2
Let b = 1/63 - -20/63. Suppose -1/3*a**2 + 0 + b*a = 0. Calculate a.
0, 1
Factor 0*z + 2/7*z**2 + 0.
2*z**2/7
Suppose -3*g + 3*q - 3 = -18, 3*q + 3 = -3*g. Let a(i) be the first derivative of -2/9*i**3 - 1/6*i**g + 2/3*i - 2 + 1/12*i**4. Factor a(r).
(r - 2)*(r - 1)*(r + 1)/3
Factor -1/4*d**2 - 25/4 + 5/2*d.
-(d - 5)**2/4
Let d(a) = a**2 + 37*a + 189. Let s be d(-31). Find z such that 4/9 - 26/9*z + 2*z**2 + 80/9*z**s + 32/9*z**4 = 0.
-2, -1, 1/4
Let z(w) be the first derivative of 2*w**5/15 + 4*w**4/3 + 44*w**3/9 + 8*w**2 + 6*w + 5. Solve z(f) = 0.
-3, -1
Let g(x) be the second derivative of x**5/40 - x**4/8 - 2*x. Suppose g(s) = 0. Calculate s.
0, 3
Suppose 6 = -p - p. Let s(k) = k**2 + 3*k. Let u be s(p). Find x such that 0*x + u*x**2 + 0 - 1/3*x**3 = 0.
0
Suppose -g - 7*g - 912 = 0. Let u be (-3)/7 + g/(-168). Let 0*m - u + 1/4*m**2 = 0. What is m?
-1, 1
Suppose -1/3*w**5 - 3*w - 2/3 - 16/3*w**2 - 2*w**4 - 14/3*w**3 = 0. What is w?
-2, -1
Let p(l) be the third derivative of l**9/113400 + l**8/16800 + l**7/9450 + l**4/6 + 3*l**2. Let o(i) be the second derivative of p(i). Factor o(t).
2*t**2*(t + 1)*(t + 2)/15
Find q such that 0 + q**3 - 2/3*q**4 + 0*q**2 + 0*q - 1/3*q**5 = 0.
-3, 0, 1
Let w(k) be the second derivative of k**5/30 - k**4/18 - k**3/9 + k**2/3 + 7*k. Determine t, given that w(t) = 0.
-1, 1
Suppose 0 = v + 4*v. Solve v - k**2 + k**4 + 0 + k + 2*k**3 - 3*k**3 = 0.
-1, 0, 1
Suppose -3*g + 5 = -2*x, -3*g = -x - 0 - 7. What is u in 5*u - u**3 - 2*u**3 + g*u**4 - 5*u = 0?
0, 1
Let z be (-6)/(-15) - 56/(-10). Let c = z + -1. Factor 2*w**2 - 4*w + w + w**c - 4*w**4 + 2*w**4 + 2*w.
w*(w - 1)**3*(w + 1)
Let v(b) = b**3 - b. Suppose -2*s + 1 = -r, -s = 4*s - 5. Let o(h) = -2*h**4 + 4*h**3 - 6*h**2 + 4*h. Let k(u) = r*o(u) + 2*v(u). Factor k(t).
-2*t*(t - 1)**3
Let j(r) = r**3 + 2*r**2 - 5*r - 3. Let m = 3 + -6. Let y be j(m). Let -5*h**3 - h + 3*h**3 + y*h = 0. What is h?
-1, 0, 1
Let v(j) be the second derivative of j**8/6720 - j**7/1260 + j**6/720 + j**4/12 + 2*j. Let d(t) be the third derivative of v(t). Find n, given that d(n) = 0.
0, 1
Suppose w - r + 2 = 0, 5*r - 3*r - 14 = -3*w. Let 6*p**3 - 9*p**3 + p**2 + w*p**2 = 0. Calculate p.
0, 1
Let z(g) be the first derivative of -g**8/420 + g**7/280 + g**6/360 - 2*g**3/3 + 1. Let c(u) be the third derivative of z(u). Let c(h) = 0. Calculate h.
-1/4, 0, 1
Let j(f) = f**2 - 7*f - 5. Let g be j(8). Factor 0*q**3 + q**g + 8*q**4 - 9*q**4.
-q**3*(q - 1)
Let n(r) be the third derivative of 1/3*r**4 - 1/105*r**7 - 1/15*r**6 + 0*r + 0 - 1/15*r**5 - r**2 + r**3. Factor n(y).
-2*(y - 1)*(y + 1)**2*(y + 3)
Suppose 6*g = 3*g. Suppose g*u + u - 2 = 0. Factor -m**u + 2*m**2 + m**2.
2*m**2
Let l = -2 + 10. Let h(c) = c**2 - 9*c + 10. Let m be h(l). Find n such that -n - 3*n**3 - 2*n + 4*n + 2*n**m = 0.
-1/3, 0, 1
Factor 1/6*t**3 + 8/3*t - 4/3*t**2 + 0.
t*(t - 4)**2/6
Let m = 794/21915 + 4/487. Let n(i) be the second derivative of 1/63*i**7 + 1/30*i**5 + m*i**6 + 0 + 0*i**2 - i + 0*i**4 + 0*i**3. What is j in n(j) = 0?
-1, 0
Let g(k) = -k**3 - 6*k**2 - 6*k + 1. Let r be g(-5). Let b be (1 - 0)/(21/r). Factor -b*z + 4/7 - 2/7*z**2.
-2*(z - 1)*(z + 2)/7
Let d(c) be the second derivative of -6*c**6/5 + 12*c**5/5 + 5*c**4/3 - 8*c**3 + 8*c**2 - 25*c. Find a, given that d(a) = 0.
-1, 2/3, 1
Let t(k) be the third derivative of -k**6/30 - 4*k**5/15 - 5*k**4/6 - 4*k**3/3 - 66*k**2. Factor t(s).
-4*(s + 1)**2*(s + 2)
Let x(p) be the third derivative of p**9/6048 - p**7/1680 - p**3/3 + 3*p**2. Let r(q) be the first derivative of x(q). Factor r(z).
z**3*(z - 1)*(z + 1)/2
Factor -3*j + 21/2*j**2 + 6*j**3 + 0.
3*j*(j + 2)*(4*j - 1)/2
Factor 0 - 2/3*n + 1/3*n**2 + 1/3*n**3.
n*(n - 1)*(n + 2)/3
Let m(g) be the third derivative of 0*g + 0 + 1/8*g**4 + 0*g**3 - 3/20*g**5 - 1/70*g**7 - 2*g**2 + 3/40*g**6. Factor m(o).
-3*o*(o - 1)**3
Let o(w) be the first derivative of w**5/15 - w**4/4 + w**3/9 + w**2/2 - 2*w/3 - 5. Let o(m) = 0. What is m?
-1, 1, 2
Let t(d) be the third derivative of d**7/12600 - d**6/1800 - 5*d**4/24 - 4*d**2. Let o(i) be the second derivative of t(i). Factor o(f).
f*(f - 2)/5
Let v(j) = 4*j. Let t be v(3). Let s be (-2)/(-4) - t/40. Factor 0*m**2 + 0 + s*m**3 - 1/5*m.
m*(m - 1)*(m + 1)/5
Let t(b) = 2*b**2 + 7*b + 9. Let w be t(-8). Let o be (-32)/(-63) + (-18)/w. Factor 2/7*j**2 + o*j - 4/7.
2*(j - 1)*(j + 2)/7
Find h, given that 3 - 9/2*h**4 + 21/2*h**3 - 9/2*h - 9/2*h**2 = 0.
-2/3, 1
Suppose 115*q**3 + 0*q**2 - 112*q**3 - 18*q**2 = 0. Calculate q.
0, 6
Let v(a) be the first derivative of 1 - 10/9*a**3 + 4/3*a + a**2. Factor v(n).
-2*(n - 1)*(5*n + 2)/3
Let k(h) be the second derivative of -h**7/42 + h**6/10 - 13*h**5/80 + h**4/8 - h**3/24 - 5*h - 11. Factor k(y).
-y*(y - 1)**2*(2*y - 1)**2/4
Let p(r) = -2*r. Let f be p(-1). Factor 10/3*l + 2/3*l**3 + 8/3*l**f + 4/3.
2*(l + 1)**2*(l + 2)/3
Let y(d) be the third derivative of -d**7/252 - d**6/72 - 10*d**2. Let y(k) = 0. What is k?
-2, 0
Let b(x) be the first derivative of 0*x - 2/5*x**5 + 2/3*x**3 + 0*x**4 + 0*x**2 - 3. Let b(w) = 0. What is w?
-1, 0, 1
Factor -75/8*l**2 + 3/8*l**5 - 3/2 - 21/8*l**4 + 6*l + 57/8*l**3.
3*(l - 2)**2*(l - 1)**3/8
Let v(l) be the third derivative of 1/210*l**5 + 1/840*l**6 + 1/168*l**4 - 4*l**2 + 0*l**3 + 0 + 0*l. Solve v(o) = 0.
-1, 0
Let h be (-4)/8*-4*2. Let a(v) be the third derivative of -1/12*v**h + 1/30*v**5 + 0 + 1/60*v**6 - 1/3*v**3 - v**2 + 0*v. Suppose a(t) = 0. What is t?
-1, 1
Let x = -8 - -11. Factor -4*k**x + 0*k**3 + k**3 + 3*k.
-3*k*(k - 1)*(k + 1)
Let q b