. Factor 0 - 2/7*h**2 + c*h + 2/7*h**4 - 2/7*h**3.
2*h*(h - 1)**2*(h + 1)/7
Let a = -76 - -79. Determine h, given that h + 1/2*h**4 - h**a - 1/2*h**2 + 0 = 0.
-1, 0, 1, 2
Let z(k) be the first derivative of -18*k**5/5 + 3*k**4/2 + 52*k**3/3 - 28*k**2 + 16*k - 1. Find t, given that z(t) = 0.
-2, 2/3, 1
Let o(z) be the second derivative of z**5/120 - 7*z**4/72 + 7*z**3/18 - 2*z**2/3 + 26*z - 1. Factor o(v).
(v - 4)*(v - 2)*(v - 1)/6
Let l(a) be the first derivative of -a**8/3360 - a**7/560 - a**6/360 - 4*a**3/3 + 2. Let z(c) be the third derivative of l(c). Find g, given that z(g) = 0.
-2, -1, 0
Let r = -2/185 + 189/370. Determine a, given that -1/2*a**3 + 1/8*a**4 + 3/4*a**2 + 1/8 - r*a = 0.
1
Let u(n) be the first derivative of 5 + 2*n + 5/4*n**4 + 3*n**3 + 7/2*n**2 + 1/5*n**5. Factor u(o).
(o + 1)**3*(o + 2)
Let q(w) be the first derivative of 3/5*w**4 + 0*w - 2/15*w**3 + 3 - 18/25*w**5 + 0*w**2 + 4/15*w**6. Factor q(s).
2*s**2*(s - 1)**2*(4*s - 1)/5
Let i(d) = -100*d**5 + 65*d**4 - 10*d**3 + 45*d + 45. Let z(a) = -9*a**5 + 6*a**4 - a**3 + 4*a + 4. Let f(q) = -4*i(q) + 45*z(q). Factor f(w).
-5*w**3*(w - 1)**2
Let p = 29 + -19. Let x(m) = m**3 - 11*m**2 + 9*m + 14. Let y be x(p). Factor -5/2*q**y - 5*q**3 - 1/2 - 5*q**2 - 1/2*q**5 - 5/2*q.
-(q + 1)**5/2
Solve 0 + 2/9*z**2 - 2/9*z = 0 for z.
0, 1
Factor 2*t**4 - 47*t - 4*t**4 + 18*t**3 - t**4 - 49*t.
-3*t*(t - 4)**2*(t + 2)
Let l(k) be the first derivative of 3*k**5/5 - 3*k**4 + 5*k**3 - 3*k**2 - 27. Factor l(r).
3*r*(r - 2)*(r - 1)**2
Let r(g) be the first derivative of -g**5/80 + g**4/24 - 3*g - 2. Let d(p) be the first derivative of r(p). Factor d(q).
-q**2*(q - 2)/4
Suppose 5*r = -0*r - 4*p + 27, -3*r - 2*p + 15 = 0. Factor 4*j**3 - 3*j**4 - 4*j + 0*j**r - 3*j**2 + j**4 + 5*j**2.
-2*j*(j - 2)*(j - 1)*(j + 1)
Let f(c) be the second derivative of -c**6/90 - c**5/60 + c**4/36 + c**3/18 - 11*c. Solve f(n) = 0.
-1, 0, 1
Factor -20/7*b + 1/7*b**4 + 18/7*b**2 + 8/7 - b**3.
(b - 2)**3*(b - 1)/7
Let z be (-5)/3 + 6/9. Let w be 15 + -9 + 4*z. Factor 10/3*y - 8/3*y**w - 4/3 + 2/3*y**3.
2*(y - 2)*(y - 1)**2/3
Let r(y) be the first derivative of 13*y**4/12 - 11*y**3/6 - y**2 + 7*y + 2. Let i(g) be the first derivative of r(g). Suppose i(v) = 0. What is v?
-2/13, 1
Let y(u) be the first derivative of 9*u**5/5 - 5*u**4 + 13*u**3/3 - u**2 - 14. Factor y(d).
d*(d - 1)**2*(9*d - 2)
Let a(y) be the first derivative of y**4/3 - 8*y**3/9 + 2*y**2/3 + 13. Factor a(w).
4*w*(w - 1)**2/3
Let g be ((-2)/(4 + 6))/((-2)/5). Factor 0 - 1/4*x**3 + 3/4*x**4 + 0*x + 0*x**2 - g*x**5.
-x**3*(x - 1)*(2*x - 1)/4
Let b be (-2)/(-4) - 35/(-10). Suppose -4*r - 3*w + 20 = -6*w, 4*r + b = -3*w. Factor 2/3*g**r + 1/3*g**5 + 0 + 0*g + 0*g**4 - g**3.
g**2*(g - 1)**2*(g + 2)/3
Suppose -5*d + 448 = -9*d. Let r = -558/5 - d. Let -2/5*p + 0 - 2/5*p**4 + 2/5*p**2 + r*p**3 = 0. Calculate p.
-1, 0, 1
Let -6*p + 4*p + 6*p + 8*p + 4*p**2 = 0. What is p?
-3, 0
Let b(g) be the second derivative of -g**7/84 - g**6/45 - g**5/120 - 12*g. Solve b(y) = 0.
-1, -1/3, 0
Let p be (-4)/120*(77 - 1). Let w = p + 448/165. Determine j, given that 0 - 8/11*j + 8/11*j**2 - w*j**3 = 0.
0, 2
Suppose 5*k + 84 = 2*x, -k + 4*k + 2*x + 60 = 0. Let j = 20 + k. Find n such that 3/2*n**2 - j*n**3 + 0 + 1/2*n = 0.
-1/4, 0, 1
Let o(v) be the second derivative of -v**3/6 - 3*v**2/2 - v. Let f be o(-6). Factor u**5 - 1 + u + u**2 + u**2 - u**4 - 2*u**f + 0*u**4.
(u - 1)**3*(u + 1)**2
Let u(i) be the first derivative of 2*i**5/25 + i**4/5 - 2*i**3/15 - 2*i**2/5 - 8. What is s in u(s) = 0?
-2, -1, 0, 1
Suppose 10 = 2*t - 4*q, -3*t - q = -2*q - 10. Let j be t - 2/((-6)/(-3)). Find h, given that -1/4 + 1/2*h - 1/4*h**j = 0.
1
Let a = 1 - -3. Let 5*c**3 + 4*c - 9*c**3 - 4*c**2 + 6*c**4 - 2*c**a = 0. Calculate c.
-1, 0, 1
Let z = -3 - -13. Let a be (-10)/25*z/(-16). Factor d + 1 + a*d**2.
(d + 2)**2/4
Let v(k) be the third derivative of -27*k**5/70 - 12*k**4/7 - 64*k**3/21 - 36*k**2 + 2. Solve v(w) = 0.
-8/9
Factor -5*d**2 + 7*d**2 + 3 - 2*d**5 - 3 - 6*d**3 + 6*d**4.
-2*d**2*(d - 1)**3
Let r = 2 - 0. Let p be -3*(-1)/3*4. Factor 2 + 6*c + 1 + p*c**r - 1.
2*(c + 1)*(2*c + 1)
Let -14/19*p**4 - 16/19*p**2 + 2*p**3 + 0 - 8/19*p = 0. Calculate p.
-2/7, 0, 1, 2
Let k(s) be the second derivative of -s**8/1176 - s**7/245 - s**6/140 - s**5/210 + 3*s**2/2 - s. Let y(j) be the first derivative of k(j). Factor y(r).
-2*r**2*(r + 1)**3/7
Suppose -4*d = -2*d. Let w(u) be the second derivative of 0*u**3 + d + 0*u**2 - 2*u + 1/36*u**4 + 1/60*u**5. Find z, given that w(z) = 0.
-1, 0
Let g = 2/93 + 269/465. Factor -3/5*u**2 - g - 6/5*u.
-3*(u + 1)**2/5
Suppose 5*r - 18 = -u, 0*r + 2*r + 9 = 5*u. Let c(w) be the second derivative of -3*w + 1/5*w**2 - 1/30*w**4 + 0 + 0*w**u. Factor c(q).
-2*(q - 1)*(q + 1)/5
Let q(c) be the third derivative of -c**8/2856 - c**7/255 - 4*c**6/255 - 2*c**5/85 - 15*c**2. Factor q(r).
-2*r**2*(r + 2)**2*(r + 3)/17
Let f(v) be the second derivative of -v**6/4 - 17*v**5/8 - 95*v**4/24 + 35*v**3/4 + 45*v**2/2 - 6*v. Determine b, given that f(b) = 0.
-3, -2/3, 1
Suppose 0 = 4*i + 2*k - 5*k - 1, -7 = -3*i - 4*k. Let f = i + 1. Solve 1/2*o**2 - f*o + 2 = 0 for o.
2
Let s(a) be the third derivative of 1/120*a**6 + 0*a**3 + 0 - 1/60*a**5 + 0*a + 1/72*a**4 - 1/630*a**7 - 2*a**2. Factor s(g).
-g*(g - 1)**3/3
Let v = 68/3 + -22. Let x be 9/15 - 7/(-5). Determine h so that 2/3*h**x - 2/3*h**5 + 0 + 2/3*h**3 + 0*h - v*h**4 = 0.
-1, 0, 1
Let -8/7*r + 0 + 2*r**4 - 46/7*r**3 + 40/7*r**2 = 0. Calculate r.
0, 2/7, 1, 2
Suppose 16 = 2*s - 3*b, -2 = 5*s + b + 2*b. Suppose -2*l**2 + 3*l**2 + 4*l - l**s + 2*l**2 = 0. Calculate l.
-2, 0
Let d = 21 - 18. Let r(z) be the second derivative of 2/3*z**d + 2*z**2 + 1/12*z**4 + 0 - 2*z. Factor r(i).
(i + 2)**2
Suppose -q - 138 + 53 = 2*h, h - q = -35. Let x be 2/(-20) + (-24)/h. What is u in 1/2*u**4 - x*u + 1/2 - u**2 - 1/2*u**5 + u**3 = 0?
-1, 1
Determine r so that 8/3*r**3 + 0 - 2*r**2 - 2/3*r = 0.
-1/4, 0, 1
Let s be (5 - 2)/3 - 85/(-15). Let k be (1 - -1)/(2/3). Factor 20/3*f**k + 10/3*f - 2/3 + 2/3*f**5 - 10/3*f**4 - s*f**2.
2*(f - 1)**5/3
Let s(c) = -3*c**4 - c**3 + 8*c**2 + 2*c - 8. Let r(j) = 4*j**4 + j**3 - 9*j**2 - j + 8. Let q(h) = -4*r(h) - 6*s(h). Factor q(m).
2*(m - 2)*(m - 1)*(m + 2)**2
Let u(z) be the second derivative of 8/9*z**3 + 0 + 1/18*z**4 + 16/3*z**2 + 6*z. Find v such that u(v) = 0.
-4
Suppose -5*z**2 - z**2 + 3*z**2 - 3*z**3 = 0. Calculate z.
-1, 0
Let x(o) be the third derivative of o**8/112 + 2*o**7/35 + 3*o**6/20 + o**5/5 + o**4/8 + 2*o**2. Factor x(i).
3*i*(i + 1)**4
Let i(p) be the first derivative of p**6/10 - 3*p**5/20 - 3*p**4/4 + 5*p**3/2 - 3*p**2 + 6*p + 6. Let y(m) be the first derivative of i(m). Factor y(l).
3*(l - 1)**3*(l + 2)
Let i = -180633/28 - -6452. Let f = i + 3/7. Find b, given that 3/4*b + 1/2 - f*b**2 = 0.
-2/5, 1
Let b(l) be the second derivative of -1/7*l**3 + 0 + 1/42*l**4 - 1/7*l**2 - l + 3/70*l**5. Find x, given that b(x) = 0.
-1, -1/3, 1
Let d(s) = -s**3 + 2*s**2. Let x(f) = -f**4 + f**3 - 5*f**2 + 19*f - 6. Let r(i) = -24*d(i) + 3*x(i). Let r(t) = 0. Calculate t.
1, 6
Suppose 1 = -3*x + 10. Suppose 0 = -6*l + l + 20. Factor -m**3 + 5*m**x - 2*m - 2*m**3 + l - 4*m**2.
2*(m - 2)*(m - 1)*(m + 1)
Let s = -156 + 315/2. Factor -1/2 - 1/2*u**3 - s*u - 3/2*u**2.
-(u + 1)**3/2
Let t(h) be the second derivative of -h**7/210 + 2*h**6/75 - h**5/20 + h**4/30 - 21*h. Factor t(n).
-n**2*(n - 2)*(n - 1)**2/5
Let v = -3510/11 - -320. Let 0 + 4/11*o**2 + 0*o - v*o**3 = 0. What is o?
0, 2/5
Let 11*v**2 - 2*v**3 + 11*v**2 - 24*v**2 = 0. Calculate v.
-1, 0
Let g(x) = -x**2 + 3*x. Let a be g(3). Suppose a = j, 3*o = -j + 4*j. Find f, given that -5/3*f**2 + o - 2/3*f = 0.
-2/5, 0
Let i(y) = 3*y - 46. Let r be i(16). Let h(j) be the first derivative of 3/4*j**4 + 0*j - 3 + 1/2*j**r - 1/5*j**5 - j**3. Solve h(v) = 0 for v.
0, 1
Suppose -2*y + 24 = -f - 4*f, f = y - 6. Let g(s) = -6*s**3 - 6*s**2. Let u(r) = 7*r**3 + 6*r**2 - r. Let c(a) = f*g(a) - 3*u(a). Let c(h) = 0. What is h?
-1, 0
Let l(g) be the first derivative of -g**5/20 - g**4/6 - g**3/6 + 5*g**2/2 - 5. Let x(q) be the second derivative of l(q). Find d, given that x(d) = 0.
-1, -1/3
Let s(t) be the third derivative of -1/30*t**5 + 0*t + 0 - 2/3*t**3 +