 0*q**5. Find h such that l(h) = 0.
-1, 0, 1
Suppose -4/11*v - 8/11*v**2 + 2/11*v**4 + 6/11 + 4/11*v**3 = 0. Calculate v.
-3, -1, 1
Let p(s) be the second derivative of -s**7/168 + s**6/60 + s**5/40 - s**4/6 + 7*s**3/24 - s**2/4 - 2*s. Determine j, given that p(j) = 0.
-2, 1
Let d(z) be the first derivative of -2*z**3/33 - z**2/11 + 12*z/11 - 13. Factor d(r).
-2*(r - 2)*(r + 3)/11
Let 45*d - 36*d**2 + 22*d - 6*d**3 + 53*d + 3*d**4 - 96 = 0. What is d?
-4, 2
Let m(c) be the second derivative of -c**6/10 + 33*c**5/20 - 5*c**4/2 + 27*c. Factor m(q).
-3*q**2*(q - 10)*(q - 1)
Let a(m) be the second derivative of m**4/4 - 3*m**2/2 + 2*m. Factor a(p).
3*(p - 1)*(p + 1)
What is z in -4/5 - 1/5*z**3 + 0*z + 3/5*z**2 = 0?
-1, 2
Suppose 2 - 10 = -s + 2*p, -2*s + 5*p = -19. Suppose w + 3*w = -4, -s = -v - w. Suppose g**2 - 2*g**4 - 3*g**4 + 6*g**4 - 2*g**v = 0. Calculate g.
0, 1
Let n(g) be the second derivative of g**9/10584 - g**7/2940 - g**3/6 - 3*g. Let q(y) be the second derivative of n(y). Let q(r) = 0. Calculate r.
-1, 0, 1
Let s be (104/(-6))/(14/(-21)). Let a = 30 - s. Factor 0 - 7/3*j**3 + 5*j**a + 1/3*j**2 - 3*j**5 + 0*j.
-j**2*(j - 1)*(3*j - 1)**2/3
Let g = -37236/11 + 3390. Let l = 400/77 - g. Find b, given that l*b**3 - 8/7*b**4 + 0 - 2/7*b + 8/7*b**2 = 0.
-1, 0, 1/4, 1
Let b(f) be the second derivative of -f**7/10080 + f**4/6 + 3*f. Let w(p) be the third derivative of b(p). Factor w(q).
-q**2/4
Let t(j) be the second derivative of -j**4/24 - 3*j. Factor t(l).
-l**2/2
Let v(c) = c**3 + 8*c**2 - c - 1. Let i be v(-8). Let b = i - 1. Factor 4*d**2 - 5*d + b*d + d**3 + 3*d.
d*(d + 2)**2
Factor 0 - 8/3*u + 28/3*u**2.
4*u*(7*u - 2)/3
Let l be -1 - (0 - 3)*3. Let u be l/(-14)*(-14)/4. Solve -4*g**3 + 2*g**5 - 2 - g**2 - 2*g**4 + 0 + 5*g**2 + u*g = 0 for g.
-1, 1
Suppose 5*y - 5*k = -0*k + 45, 2*k = -4*y + 18. Suppose 0 = -4*j - 3*i + 27, -19 = 4*j - 5*i - y. Factor -l**j + 1 + 3*l - 2*l**3 + 3*l**2 + 4*l**3.
(l + 1)**3
Let y = -10 - -10. Let c(w) be the second derivative of y - 1/3*w**3 - 2*w + 0*w**2 + 1/6*w**4 + 1/5*w**5. Factor c(g).
2*g*(g + 1)*(2*g - 1)
Let t(s) be the second derivative of 243*s**7/14 + 81*s**6/5 - 621*s**5/20 - 239*s**4/6 - 18*s**3 - 4*s**2 - 8*s. Factor t(j).
(j - 1)*(j + 1)*(9*j + 2)**3
Suppose 0 + 0*r**2 - 2/17*r**3 - 2/17*r**5 + 0*r + 4/17*r**4 = 0. Calculate r.
0, 1
Let j(r) be the second derivative of -r**6/1800 - r**5/150 - r**4/30 + r**3/2 + 4*r. Let t(c) be the second derivative of j(c). Factor t(q).
-(q + 2)**2/5
Let a be ((-14)/6 + 1)*-3. Find o such that 8*o**3 - 2*o**a + o + 0*o**2 + 3*o**4 + 3*o**2 - 5*o**3 = 0.
-1, 0
Let y(q) be the second derivative of -q**4/6 - 2*q**3/3 - q**2 - 10*q. Suppose y(z) = 0. Calculate z.
-1
Let o(n) = -7*n**4 + 2*n**2. Let h(t) = 11*t**4 - 3*t**2. Let y(f) = 5*h(f) + 8*o(f). Solve y(z) = 0.
-1, 0, 1
Factor -3*g**5 + 2 - 10*g + 3*g**4 - 14*g - 14 - 74*g**2 + 15*g**3 + 71*g**2.
-3*(g - 2)**2*(g + 1)**3
Let o = -8 + 8. Suppose 5*a = 4*r - 0*r - 2, -3*r + 15 = 3*a. Factor 2/5*d - 4/5*d**r + 2/5*d**5 + 0 + 0*d**2 + o*d**4.
2*d*(d - 1)**2*(d + 1)**2/5
Let g(i) be the first derivative of 3 + 1/15*i**2 + 1/5*i**4 + 0*i + 1/45*i**6 + 8/45*i**3 + 8/75*i**5. Factor g(s).
2*s*(s + 1)**4/15
Let c be (-24)/(-27)*3/24*6. Factor -4/9*a - c*a**2 + 0 + 10/9*a**3.
2*a*(a - 1)*(5*a + 2)/9
Suppose 6*b - b - 20 = 0. Determine x so that x**5 + 0*x**3 + 4*x**5 + x**3 + 8*x**b - 2*x**2 = 0.
-1, 0, 2/5
Suppose 3*t + 2 = 14. Determine z so that -1/2*z**3 + 1/2*z**5 + 1/2*z**t + 0*z + 0 - 1/2*z**2 = 0.
-1, 0, 1
Let d(b) be the third derivative of -b**8/70560 + b**7/17640 + b**5/15 - 4*b**2. Let s(o) be the third derivative of d(o). Determine u, given that s(u) = 0.
0, 1
Let x(d) be the first derivative of d**4/16 - d**3/6 - d**2/8 + d/2 - 18. Factor x(r).
(r - 2)*(r - 1)*(r + 1)/4
Suppose 0 = 4*g - 2*g - 3*k + 9, 10 = 2*k. Factor -l**4 + 11*l**3 - 9*l**3 - l**4 + 0*l**g.
-2*l**3*(l - 1)
Let s(h) be the second derivative of -5*h + 0 + 1/15*h**4 + 1/15*h**3 - 1/5*h**2. Factor s(b).
2*(b + 1)*(2*b - 1)/5
Let l(h) = 15*h**2 + 24*h - 3. Suppose -z - 2 = -3*z. Let d(m) = m**2 + m. Let v(n) = z*l(n) - 18*d(n). Factor v(i).
-3*(i - 1)**2
Suppose 0*m - 2/5*m**2 + 2/5 = 0. Calculate m.
-1, 1
Let 2/7*k - 2/7*k**3 - 2/7*k**2 + 2/7 = 0. What is k?
-1, 1
Let j be 2/(-11) + 32/330*6. Factor -2/5*i**3 + 0 + j*i + 0*i**2.
-2*i*(i - 1)*(i + 1)/5
Let r(u) be the first derivative of -4/7*u + 3 - 1/7*u**2 + 2/21*u**3. Factor r(s).
2*(s - 2)*(s + 1)/7
Let w = -2 - -3. Suppose -13 + w = -2*g. Factor 6 - g - 2*j + 4*j**3 - 2*j**2.
2*j*(j - 1)*(2*j + 1)
Let o(f) be the second derivative of 3/10*f**5 + f**2 + 0 - 4*f - f**3 - 1/6*f**4. Factor o(z).
2*(z - 1)*(z + 1)*(3*z - 1)
Suppose -u + 4*x = -9, -5*x = -x + 8. Solve -1/4*t**2 - t - u = 0.
-2
Let p(f) = f - 1. Let l be p(1). Suppose g + 0*g - 3 = l. Suppose 0*h + 0 + 1/4*h**2 + 0*h**g - 1/4*h**4 = 0. Calculate h.
-1, 0, 1
Let y be (-258)/(-20) + 3/6. Let o = y + -13. Factor -4/5*l**4 + 4/5*l**2 + 0 - o*l**5 + 0*l**3 + 2/5*l.
-2*l*(l - 1)*(l + 1)**3/5
Let o(v) be the second derivative of -v**4/12 + 2*v**3/3 - 20*v. Factor o(j).
-j*(j - 4)
Let q = 67/126 + -2/63. Let z be -3*1 - (3 + -6). Factor 0 - 1/2*v**4 + z*v - q*v**3 + 0*v**2.
-v**3*(v + 1)/2
Let -2*p**2 - p + 4*p + 0*p - 7*p = 0. Calculate p.
-2, 0
Let b(d) be the second derivative of 3*d**5/20 + 2*d**4 + 13*d**3/2 + 9*d**2 + 2*d - 9. Factor b(j).
3*(j + 1)**2*(j + 6)
What is v in 21/5*v**2 + 4/5 - 5*v**4 + 4*v**3 - 4*v = 0?
-1, 2/5, 1
Let k be 5/(-165) + (-36)/(-99). What is r in 0 + 5/6*r**2 + k*r + 1/6*r**4 + 2/3*r**3 = 0?
-2, -1, 0
Let d(u) be the second derivative of u**8/2880 + u**7/840 + u**6/1080 - u**4/6 - u. Let w(z) be the third derivative of d(z). Factor w(b).
b*(b + 1)*(7*b + 2)/3
Let q be 2/(-3) + (-154)/(-33). Let u(c) be the second derivative of 0*c**3 - 1/60*c**q + 0*c**2 + 2*c + 0 + 1/100*c**5. Solve u(l) = 0.
0, 1
Let b(o) = o**2 + 2 + 0*o**2 - 3*o - 3*o**2. Let h(d) = 3*d - 4. Let w be h(3). Let m(q) = -3*q**2 - 5*q + 3. Let g(i) = w*b(i) - 3*m(i). Factor g(s).
-(s - 1)*(s + 1)
Let w(y) = 9*y**2 + 2*y. Let i(u) = 8*u**2 + 2*u. Let n(c) = 7*i(c) - 6*w(c). Factor n(g).
2*g*(g + 1)
Let i(b) = b**3 + 16*b**2 - 16*b + 20. Let f be i(-17). Solve -2/5*r**4 + 0*r + 0 + 0*r**2 + 0*r**f = 0 for r.
0
Let y be (2/12)/((-38)/(-76)). Factor 1/3*t**2 - y*t + 0.
t*(t - 1)/3
Let i(u) = -u**2 - 5*u + 3. Let a be i(-5). Factor -1/6*l**a + 1/2*l + 1/3 + 0*l**2.
-(l - 2)*(l + 1)**2/6
Factor 0*a**2 + 0*a + 0 - 4/7*a**5 + 2/7*a**3 + 2/7*a**4.
-2*a**3*(a - 1)*(2*a + 1)/7
Let a(v) = -2*v**3 + 10*v**2 - 6*v - 6. Let j(c) = c**3 - 9*c**2 + 5*c + 6. Let r(y) = -3*a(y) - 4*j(y). Determine o, given that r(o) = 0.
-3, -1, 1
Let d(y) be the second derivative of -y**4/12 - y**3 + 7*y**2/2 + 9*y. Let m be d(-7). Let 0*t + 0*t**3 - 2/3*t**4 + 2/3*t**5 + m*t**2 + 0 = 0. What is t?
0, 1
Let r(b) = -5*b**3 + 6*b**2 + 12*b - 4. Let j(v) = -v**3 + v**2 + v - 1. Let f(x) = -12*j(x) + 3*r(x). Suppose f(p) = 0. Calculate p.
-2, 0, 4
Let w(h) be the second derivative of -h**6/15 - 2*h**5/5 - 5*h**4/6 - 2*h**3/3 + 5*h. Let w(c) = 0. What is c?
-2, -1, 0
Let b(l) be the first derivative of -3*l**2 + 1 - l**3 + 3/4*l**4 + 0*l. Factor b(k).
3*k*(k - 2)*(k + 1)
Let k = 6 - 3. Suppose -2*g**k + 4*g**2 + 2 + 12*g - g**2 + 3*g**2 - 18*g = 0. Calculate g.
1
Let t(q) be the first derivative of -q**4/20 - 3*q**3/10 - 3*q**2/5 + 4*q - 2. Let j(k) be the first derivative of t(k). Suppose j(c) = 0. What is c?
-2, -1
Let y(m) be the third derivative of 1/108*m**4 + 0 + 1/270*m**5 + 0*m - 1/27*m**3 - 1/540*m**6 + 2*m**2. Suppose y(z) = 0. Calculate z.
-1, 1
Let k(u) be the third derivative of u**5/450 + u**4/90 + u**3/45 - 5*u**2. Find t such that k(t) = 0.
-1
Factor -15*s**2 + 9*s**2 + 65*s + s**2.
-5*s*(s - 13)
Factor -4 - 4*u**2 - 6*u**2 + 0*u + 6*u + 8*u**2.
-2*(u - 2)*(u - 1)
Let z = 632559/15785 - 457/205. Let b = z - 388/11. Find a, given that -26/7*a**4 + 10/7*a**5 + 2/7*a**2 + b*a**3 - 4/7*a + 0 = 0.
-2/5, 0, 1
Suppose 3*v = 4*v. Suppose -5*d + v = -2*y - 2, 4*d + 4*y = 24. Factor 7*m**3 - 4 + 0 - 3*m**2 + 3*m**4 - 7*m + 2*m**4 + d.
(m - 1)*(m + 1)**2*(5*m + 2)
Let n(g) be the second derivative of g**4/4 - g**3/2 + 9*g. Determine j so that n(j) = 0.
0,