be the second derivative of -s**7/14 - s**6/6 + s**5/12 + 5*s**4/12 - 2*s**2/3 - 10*s. Find g, given that a(g) = 0.
-1, 2/3
Suppose -1/4*w**3 - 5/12*w**2 + 1/3 + 1/3*w = 0. Calculate w.
-2, -2/3, 1
Let z(j) = 32*j**3 - 27*j**2 + 6*j - 11. Let v(y) = 11*y**3 - 9*y**2 + 2*y - 4. Let g(r) = 11*v(r) - 4*z(r). What is l in g(l) = 0?
0, 2/7, 1
Let h(a) = a**2 + a - 1. Let w(d) = -2*d**5 - 6*d**4 - 6*d**3 + 3*d**2 + 5*d - 5. Let f = 18 + -13. Let i(o) = f*h(o) - w(o). Factor i(k).
2*k**2*(k + 1)**3
Let x(q) be the first derivative of 2/5*q**5 + 1/2*q**4 - 2 + 0*q**3 + 0*q**2 + 0*q. Factor x(f).
2*f**3*(f + 1)
Let s be (1 + 3)*12/16. Let t = s + 0. Factor 0*i**4 + 2*i**4 + i**3 + i**t.
2*i**3*(i + 1)
Let g(k) be the second derivative of k**8/47040 - k**6/5040 + k**4/6 + 2*k. Let l(w) be the third derivative of g(w). Determine n, given that l(n) = 0.
-1, 0, 1
Let r(z) be the first derivative of -z**4/4 - z**3/2 + 2*z - 3. Let j(h) be the first derivative of r(h). Find w such that j(w) = 0.
-1, 0
Let h = 136 - 133. Let t(c) be the second derivative of -7/80*c**5 + 1/4*c**2 - 1/8*c**h - 1/4*c**4 + 5*c + 0. Factor t(z).
-(z + 1)**2*(7*z - 2)/4
Let c be 1*((-3)/1)/(-12). Let j(y) be the first derivative of -1/12*y**3 - 1/16*y**4 + 1/8*y**2 - 2 + c*y. Let j(f) = 0. Calculate f.
-1, 1
Let y(s) be the third derivative of 25*s**8/112 - s**7/3 - 9*s**6/20 + 17*s**5/15 - 7*s**4/8 + s**3/3 + 6*s**2. Solve y(c) = 0.
-1, 1/5, 1/3, 2/5, 1
Let c(j) be the third derivative of j**5/90 - 5*j**4/18 + 25*j**3/9 + 9*j**2. Let c(y) = 0. What is y?
5
Suppose -8*u + 5*u = 0. Let f be (45/10)/(u + 6). What is q in -f*q - 1/4*q**3 + 1/4 + 3/4*q**2 = 0?
1
Suppose -5*l + 6*l + n - 7 = 0, -5*l + 3*n = 5. Determine t, given that t**l - 4*t**5 - 2*t**2 + 7*t**4 - 2*t**3 - 3 + 3 = 0.
-1/4, 0, 1
Let n(a) be the second derivative of -4/7*a**2 + 2/21*a**3 + 1/7*a**4 + 7*a - 1/35*a**5 + 0 - 2/105*a**6. Determine r so that n(r) = 0.
-2, -1, 1
Let w = 8193/7 + -1170. Factor -w*n**2 + 6/7*n**3 + 0 - 6/7*n + 3/7*n**4.
3*n*(n - 1)*(n + 1)*(n + 2)/7
Let h(s) be the first derivative of 1/6*s**6 + 3 + 0*s + 0*s**2 - 1/4*s**4 - 1/5*s**5 + 1/3*s**3. Find k such that h(k) = 0.
-1, 0, 1
Factor 81 - 54*g + 3*g**2 - 11 + 173.
3*(g - 9)**2
Suppose -4*w + 0*w = 0. Suppose -4*x - k + 4 = w, 3*x - 12 = -5*k + 2*k. Factor 9*d - 5*d**3 - 6 + 3*d**3 + x - d**3.
-3*(d - 1)**2*(d + 2)
Let z = 4 - 14. Let y(p) = -p**2 - 10*p + 2. Let k be y(z). Let 0 + 4/5*a**k + 2/5*a**3 + 2/5*a = 0. What is a?
-1, 0
Let y(v) be the third derivative of 0 + 0*v + 3*v**2 + 1/30*v**5 - 7/24*v**4 + 7/120*v**6 - 1/3*v**3. Factor y(c).
(c - 1)*(c + 1)*(7*c + 2)
Suppose 25 = 5*a, -3*d + 2*a = -a + 6. Suppose -d*m + 5*m = 6. Solve -w**2 + 3*w**2 - w**3 - m*w**2 = 0.
-1, 0
Let c be 4 - (3 + 1 - 0). Let u(q) be the first derivative of -1/3*q + c*q**3 + 1/15*q**5 - 2 + 1/6*q**4 - 1/3*q**2. Solve u(d) = 0.
-1, 1
Suppose -3*m = -8*m + 20. Determine h, given that -1/3*h**3 + 0 + 1/3*h + 1/3*h**m - 1/3*h**2 = 0.
-1, 0, 1
Solve 0*b + 1/2*b**3 + 0 + 1/4*b**4 + 1/4*b**2 = 0.
-1, 0
Let q(f) be the third derivative of -8*f**7/147 - 11*f**6/30 - 22*f**5/35 + 10*f**4/21 + 16*f**3/21 - 9*f**2. Find v, given that q(v) = 0.
-2, -1/4, 2/5
Suppose -5*g + 0*g - 3*z + 1 = 0, -3*z - 5 = 2*g. Factor 0*q + 1/4*q**g - 1/4*q**4 + 0 + 0*q**3.
-q**2*(q - 1)*(q + 1)/4
Let k(r) be the third derivative of r**9/393120 - r**8/131040 + 7*r**5/60 - r**2. Let z(d) be the third derivative of k(d). Find g, given that z(g) = 0.
0, 1
Let t(u) be the first derivative of -2/5*u**5 + 2 + 4/3*u**3 - 2*u + u**4 - u**2 - 1/3*u**6. Factor t(s).
-2*(s - 1)**2*(s + 1)**3
Let n be (15/60)/((-2)/(-16)). Let p(s) be the first derivative of 0*s - 2/15*s**3 + 2/5*s**n - 2. Factor p(i).
-2*i*(i - 2)/5
Find n such that -19 + 8 + 4*n - 4*n**2 + 7 + 12 = 0.
-1, 2
Factor 0*v**2 + 2/15*v**3 - 2/15*v + 0.
2*v*(v - 1)*(v + 1)/15
Suppose -3*p + 2*c = -0*p - 21, -p - 4*c = 7. Find f such that 5/6*f**2 + 1/6*f - 2/3*f**p - 5/6*f**4 + 1/2*f**3 + 0 = 0.
-1, -1/4, 0, 1
Let o(a) be the second derivative of -5*a**7/42 - 5*a**6/6 - 3*a**5/4 + 15*a**4/4 - a + 2. Factor o(d).
-5*d**2*(d - 1)*(d + 3)**2
What is r in -6/7 - 3/7*r**2 + 9/7*r = 0?
1, 2
Suppose -5*p = 3*w + 9, -3*w - 3*p = -p. Let h(y) = y + 0*y**2 - w*y + y**2. Let l(r) = r**3 - 2*r**2 + 2*r - 1. Let t(d) = 3*h(d) + l(d). Factor t(v).
(v - 1)*(v + 1)**2
Let z(y) be the third derivative of -y**8/560 + 2*y**7/175 - y**6/40 + y**5/50 - 3*y**2. Let z(b) = 0. What is b?
0, 1, 2
Let s(b) be the first derivative of 0*b**3 + 0*b + 4 - 1/4*b**5 + 1/8*b**4 + 1/2*b**2. Let p(v) be the second derivative of s(v). Factor p(f).
-3*f*(5*f - 1)
Factor 8/3*m + 10/3*m**2 + 0 + 2/3*m**3.
2*m*(m + 1)*(m + 4)/3
Let h = -4604/7 + 658. Factor 0 + 10/7*f**2 + 4/7*f + 8/7*f**3 + h*f**4.
2*f*(f + 1)**2*(f + 2)/7
Find a such that 15*a + 18*a - 3*a - 4*a**2 - 45 - a**2 = 0.
3
Let h(t) = t**2 - 3*t + 2. Let y be ((-1)/(-1) + -4)/(-1). Let x be h(y). What is b in -2*b**4 + 5*b - 2*b + 2*b**2 - b - x*b**3 = 0?
-1, 0, 1
Let j(r) be the second derivative of r**4/12 - 2*r**3/3 - 5*r**2/2 + 17*r. Factor j(w).
(w - 5)*(w + 1)
Let j(x) be the first derivative of -x**6/30 - x**5/5 - x**4/2 - 2*x**3/3 - x**2/2 - 2*x - 1. Let w(d) be the first derivative of j(d). Factor w(t).
-(t + 1)**4
Suppose s - 4 = -5*a - 2, -s - 14 = a. Let h be (-3)/s - (-5)/15. Factor 1/2*q**3 + h - 1/2*q - 1/2*q**2.
(q - 1)**2*(q + 1)/2
Suppose 3*a = -5*b - 9 + 3, 3*b - 3*a = 6. Factor 1/3*h**2 + 0 + 1/3*h**3 - 2/3*h**4 + b*h.
-h**2*(h - 1)*(2*h + 1)/3
Let w(u) be the second derivative of -u**7/252 + u**6/90 - u**5/120 - 9*u. Factor w(c).
-c**3*(c - 1)**2/6
Let q be (-6)/15 - 56/10. Let w be (-2 - -2)*(-3)/q. Find m such that -2*m + 2*m**5 + w*m**3 - 4*m**2 + 0*m**3 + 4*m**4 = 0.
-1, 0, 1
Let k(n) be the second derivative of n**5/40 + n**4/8 - n**3/12 - 3*n**2/4 - 31*n. Factor k(j).
(j - 1)*(j + 1)*(j + 3)/2
Let i = 10661/1683 + -2/1683. Let y = i + -6. Suppose -4/3*x**4 + y + 5/3*x - 5/3*x**3 + x**2 = 0. Calculate x.
-1, -1/4, 1
Let z be -2 - 27/12*-1. Let 0 - 1/4*s**4 + z*s**3 - 1/4*s + 1/4*s**2 = 0. Calculate s.
-1, 0, 1
Let z(k) be the third derivative of 2*k**8/63 - 8*k**7/63 + 17*k**6/180 - k**5/45 - 40*k**2. Factor z(d).
2*d**2*(d - 2)*(4*d - 1)**2/3
Let -134/9*z**3 + 32/9*z - 46/9*z**2 - 98/9*z**5 + 8/9 + 238/9*z**4 = 0. Calculate z.
-2/7, 1
Find t such that 12*t**2 + 103*t**4 - 99*t**4 - 4*t**3 - 8*t**3 - 4*t = 0.
0, 1
Let f(x) be the first derivative of x**6/24 - x**4/16 + 15. Let f(y) = 0. Calculate y.
-1, 0, 1
Factor 5*t**4 - 8*t**2 - 3*t**4 - 7 + 7 - 2*t**3 + 8*t.
2*t*(t - 2)*(t - 1)*(t + 2)
Factor 2/11*a**2 - 8/11 + 0*a.
2*(a - 2)*(a + 2)/11
Let y(k) be the second derivative of -2*k + 0 + 0*k**2 - 1/65*k**5 + 1/26*k**4 - 1/39*k**3. Suppose y(u) = 0. Calculate u.
0, 1/2, 1
Suppose 0 = 2*q - 0*q + 4*d - 10, q = 3*d. Determine v, given that v**2 + 15*v**5 - 3*v - v**5 - 38*v**4 - v - q*v**2 + 30*v**3 = 0.
-2/7, 0, 1
Let h = 5 + -3. Let y be h + (-6)/2 + 5. Factor 4 - 5*x**2 - 3*x**3 - y - x + 4*x**5 + 5*x**4.
x*(x - 1)*(x + 1)**2*(4*x + 1)
Let l be 1/(-3) - (-3603)/9. Let f be 540/l - (-6)/(-8). Factor -1/5*x**2 - 2/5 - f*x.
-(x + 1)*(x + 2)/5
Let l(d) = 3*d**5 + 5*d**4 + 2*d**3 + 2*d**2 - 2. Let f(w) = -4*w**5 - 6*w**4 - 2*w**3 - 3*w**2 + 3. Let p(x) = 2*f(x) + 3*l(x). Find i such that p(i) = 0.
-2, -1, 0
Factor -b**3 - 4*b + 0*b**3 + 8*b**2 - b**3 - 2*b**3.
-4*b*(b - 1)**2
Let m(z) be the second derivative of -1/45*z**4 - 1/150*z**5 - 1/45*z**3 - 4*z + 0 + 0*z**2. Factor m(d).
-2*d*(d + 1)**2/15
Let m be 1/(-1)*2*-1. Let h(o) = o + 9. Let l be h(-7). Let 2*k**3 - 4*k**4 + m*k**l + 2*k - 2*k + 0*k = 0. What is k?
-1/2, 0, 1
Factor 0 - 2/7*t**3 + 8/7*t**2 - 6/7*t.
-2*t*(t - 3)*(t - 1)/7
Suppose -4*a + 38 = 3*w, 2 = -3*a + 3*w + 20. Let i(t) = -t**2 + 8*t + 2. Let n be i(a). Suppose 10*u - 9*u - u**3 + 3*u**2 - 3*u**n = 0. Calculate u.
-1, 0, 1
Let d(q) be the first derivative of -q**4/12 - 22*q**3/9 - 121*q**2/6 + 72. Factor d(v).
-v*(v + 11)**2/3
Determine s, given that -40*s**3 + 1250 + 4*s**4 - 17*s**4 - 6*s**2 - 1000*s + 306*s**2 + 15*s**4 = 0.
5
Determine c, given that -5*c**3 - c**2 + c**5 + 6*c**2 + c**4 - 2*c**2 = 0.
-3, 0, 1
Let k = 49 - 45. Let q be (-1)/(k - 2)*0. Let -1/5*g**2 + q