*3 - 10*j**2 - 9*j + 6. Let z be h(-9). Let y = 9 - z. Factor 0 + 0*o - 2/3*o**2 - 4/3*o**y - 2/3*o**4.
-2*o**2*(o + 1)**2/3
Let k(y) be the second derivative of -y**4/3 + 2*y**3/3 + 4*y**2 - 5*y. Suppose k(h) = 0. Calculate h.
-1, 2
Let r(n) be the second derivative of -5*n**5/4 - 15*n**4/4 - 4*n**3 - 2*n**2 - n. Factor r(f).
-(f + 1)*(5*f + 2)**2
Let o(i) be the third derivative of i**7/70 - i**6/8 + 3*i**5/20 + 5*i**4/8 - 2*i**3 + 35*i**2. Determine g, given that o(g) = 0.
-1, 1, 4
Let j(k) = 5*k**3 - 3*k + 2. Let a(t) = 6*t**3 - 3*t + 3. Suppose -r - 1 = -4. Let l(h) = r*j(h) - 2*a(h). Factor l(d).
3*d*(d - 1)*(d + 1)
Let o be 1/5 - (4 - (-63)/(-15)). Let s = -2/25 - -12/25. Solve -2/5 - 2/5*b - o*b**5 + 4/5*b**2 + 4/5*b**3 - s*b**4 = 0 for b.
-1, 1
Suppose -2*b = f - 6, -2*f + 4*b - 12 = -3*f. Suppose 3*n = -f*n. Let -4/3*i**2 + n - 2*i**3 - 2/3*i**4 + 0*i = 0. Calculate i.
-2, -1, 0
Let c = -30 + 16. Let a = c + 16. Let -2/7*s**a + 0 + 2/7*s = 0. Calculate s.
0, 1
Let z be (-4 - -8) + (-2)/2. Suppose z*d - 4*d = -2. Factor 3*x**d + x**4 + 4*x + 3*x**2 + 2*x**3 + 1 + 2*x**3.
(x + 1)**4
Let r(c) = -9*c**5 + 10*c**4 + c**3 - 2*c**2. Let h(q) = -10*q**5 + 11*q**4 + q**3 - 2*q**2. Let i(j) = 3*h(j) - 4*r(j). Solve i(y) = 0 for y.
-1/2, 0, 2/3, 1
Let q(d) = d**3 + 8*d**2 + 8*d + 9. Let r be q(-7). Let g(s) be the first derivative of -7/3*s**3 - r*s**4 - s**2 - 3/5*s**5 + 0*s + 2. What is k in g(k) = 0?
-1, -2/3, 0
Factor 0*v**3 + 60*v**4 + v**3 - 75*v**5 - 3*v**3 - 10*v**3.
-3*v**3*(5*v - 2)**2
Factor -2/13 - 4/13*u**3 + 4/13*u + 2/13*u**4 + 0*u**2.
2*(u - 1)**3*(u + 1)/13
Let d = 14 + -10. Let h(q) = 2*q**2 + 2. Let l(v) = 5*v**2 + 6. Let m(j) = d*l(j) - 11*h(j). Solve m(w) = 0.
-1, 1
Let f(d) = 10*d**5 - 36*d**4 + 8*d**3 + 32*d**2 - 24*d + 4. Let k(l) = -l**5. Let o(i) = -f(i) + 6*k(i). Let o(h) = 0. What is h?
-1, 1/4, 1
Let u(a) be the second derivative of -a**5/4 - 5*a**4/6 - 5*a**3/6 + 8*a. Factor u(c).
-5*c*(c + 1)**2
Let u be (4 - ((-28)/(-8) + 0))*0. Determine a, given that 0*a + u + 1/5*a**4 - 1/5*a**3 + 0*a**2 = 0.
0, 1
Let d = -16 - -20. Let u = d + 1. Factor -40/3*s**4 + 8/3*s**3 + 14*s**u + 0*s**2 + 0*s + 0.
2*s**3*(3*s - 2)*(7*s - 2)/3
Let i be (-3 + (-17)/(-3) + -3)*-6. Let t(h) be the third derivative of -3*h**i + 0*h - 1/30*h**5 + 0 + 0*h**3 - 1/12*h**4. Determine g so that t(g) = 0.
-1, 0
Let g(v) be the third derivative of v**5/180 - v**4/18 + 2*v**3/9 - v**2. What is o in g(o) = 0?
2
Let y(h) be the third derivative of -h**9/60480 + h**8/6720 - h**7/2520 + h**5/15 - 2*h**2. Let t(a) be the third derivative of y(a). Factor t(j).
-j*(j - 2)*(j - 1)
Let l be (-20*(-12)/75)/(6/5). What is p in -l + 8/3*p - 2/3*p**2 = 0?
2
Let k = -9 + 12. Let q(o) = -o + 3. Let f be q(k). Factor f*h + 0 - 1/4*h**2 - 1/4*h**3 + 1/4*h**5 + 1/4*h**4.
h**2*(h - 1)*(h + 1)**2/4
Let v(y) be the second derivative of y**5/10 - 7*y**4/6 + 5*y**3 - 9*y**2 - y. What is m in v(m) = 0?
1, 3
Suppose 4*w - 2*w**2 - 4 + 0*w**2 + 2*w = 0. Calculate w.
1, 2
Factor 1/5*q - 1/5*q**3 + 0*q**2 + 0.
-q*(q - 1)*(q + 1)/5
Let o(k) be the second derivative of -k**6/15 + 2*k**5/5 - k**4 + 4*k**3/3 - k**2 + 14*k. What is z in o(z) = 0?
1
Suppose n + 3*n - 20 = 0. Let q(a) be the first derivative of 0*a - 1/14*a**4 + 1 + 2/21*a**3 + 1/7*a**2 - 2/35*a**n. Factor q(l).
-2*l*(l - 1)*(l + 1)**2/7
Let w(b) be the second derivative of 5*b**4/12 - 25*b**3/6 + 10*b**2 - 20*b. Factor w(a).
5*(a - 4)*(a - 1)
Let i(k) = 3 - 1 - 3 + 8*k. Let x be i(1). Determine m so that -14*m + 2*m**4 - 10*m**3 + 0*m**3 - x + 3 - 4*m**4 - 18*m**2 = 0.
-2, -1
Let k(d) = -d**3 + d**2 + d - 1. Let w(b) = -4*b**3 - 32*b**2 + 4*b + 32. Let c(z) = -24*k(z) - w(z). Factor c(v).
4*(v - 1)*(v + 1)*(7*v + 2)
Let o(f) = -9*f**4 + 3*f**2 - 5*f - 4. Let w = 10 + -5. Let l(k) = 5*k**4 - k**2 + 3*k + 2. Let y(d) = w*l(d) + 3*o(d). Factor y(x).
-2*(x - 1)**2*(x + 1)**2
Let -1/4*b**4 + 1/2 - 3/4*b**3 + 3/4*b - 1/4*b**2 = 0. Calculate b.
-2, -1, 1
Let t = 10 - 10. Suppose t = 5*o, -3*y + 8 = -3*o + 2. Factor 0*k**3 + k**y - 1/2*k**4 + 0*k - 1/2.
-(k - 1)**2*(k + 1)**2/2
Suppose -q - 2*q - 12 = -3*l, -5*q = 10. Suppose -2*z - 1 = -2*x + 3, -5*x + 10 = -z. Let 4*r - l + r**x - 5*r + 9*r + 9*r**2 = 0. What is r?
-1, 1/5
Find i, given that 24 - 33*i + 55*i - 2*i**2 - 24*i = 0.
-4, 3
Let j(o) be the second derivative of -1/4*o**4 + 0 + 1/2*o**3 - 1/2*o**2 - 3*o + 1/20*o**5. Determine t, given that j(t) = 0.
1
Let 5 + 6 + 5*a**2 + 10*a - 11 = 0. What is a?
-2, 0
Let b(n) be the first derivative of -14*n**5/5 + n**4/2 + 14*n**3 - 17*n**2 + 4*n - 13. Solve b(w) = 0.
-2, 1/7, 1
Let v(b) = 3 - 7*b**4 + 15*b**2 + 0 - 11*b**4 + 3*b**3 - 15*b. Let m(h) = -h**4 - h**3 - h + 1. Let g(p) = -6*m(p) + v(p). Solve g(u) = 0 for u.
-1, -1/4, 1
Let m = 625 + -1006. Let d = m - -1911/5. Factor 4/5 - 2*x + d*x**2.
2*(x - 1)*(3*x - 2)/5
Let p(w) be the first derivative of -5*w**3/3 + 25*w**2/2 - 20*w - 56. Factor p(a).
-5*(a - 4)*(a - 1)
Suppose n + 9 = -2*p - 2*p, -2*p + 3 = 3*n. Suppose -7*z = -2 - 19. What is k in -k**3 - 1 + 3 - k - z*k**2 - n - 2*k = 0?
-1
Suppose 3 = b - 9. Let c be ((-1)/b)/((-1)/3). Let -c*y**4 + 1/4*y + 0 + 1/4*y**2 - 1/4*y**3 = 0. Calculate y.
-1, 0, 1
Let f be -3*(-1)/(3/2). Let k be (9/3 + -4)*-3. Find t, given that 2/7 - 2/7*t**k - 6/7*t + 6/7*t**f = 0.
1
Determine r so that -76*r + 35*r**2 + 40 - 15 - 5*r**3 + 21*r = 0.
1, 5
Let n(q) be the first derivative of 13/2*q**2 - 6*q + 1 - q**3. Let w(k) = -4*k**2 + 12*k - 5. Let h(s) = -3*n(s) + 4*w(s). Factor h(x).
-(x - 1)*(7*x - 2)
Let l be (-3)/(1/(3*(-3)/45)). Factor 1/5*f**3 + l*f + 9/5 - f**2.
(f - 3)**2*(f + 1)/5
Let h be (-1)/1*(-32)/4. Suppose -a = b - 4, -h = 4*b - 0*a - 2*a. Factor 0 - 2/5*o**2 + b*o + 0*o**3 + 2/5*o**4.
2*o**2*(o - 1)*(o + 1)/5
Let r(p) = -46*p + 2. Let s be r(1). Let n = s + 134/3. Factor 1/3*w**2 + 0 - n*w.
w*(w - 2)/3
Suppose 1 = 4*n - 5*i, -2*n - 5*i - 13 = -4*n. Let b be (4/n)/(-2 + 1). Determine h, given that 4/3*h + 2/3 + b*h**2 = 0.
-1
Suppose 0*q + 5*q - 15 = 0. Let y = q + -1. Let -1/2*m**4 + 0*m + 1/2*m**3 + 0 - 1/2*m**5 + 1/2*m**y = 0. Calculate m.
-1, 0, 1
Suppose 0*f + f + 20 = 4*j, -4*j + 36 = -5*f. Let t = -10 + 13. Factor 2*z**4 + z - 2*z**4 + 0*z**j + t*z**3 + z**4 + 3*z**2.
z*(z + 1)**3
Let v(b) be the third derivative of b**7/2100 - b**6/900 - b**3/6 - 5*b**2. Let j(s) be the first derivative of v(s). Factor j(f).
2*f**2*(f - 1)/5
Suppose 37 = 4*i + 5*m, 5*i - 12*m = -7*m - 10. Let -2/13*c**i + 0*c**4 + 0*c + 0 + 2/13*c**5 + 0*c**2 = 0. Calculate c.
-1, 0, 1
Let d(m) be the second derivative of 1/8*m**4 - 3*m + 0 + 0*m**2 + 0*m**3 + 3/40*m**5. Find i such that d(i) = 0.
-1, 0
Let b = -41/351 + 2/13. Let h(r) be the first derivative of b*r**6 + 1 + 16/9*r + 1/18*r**4 - 20/27*r**3 + 8/45*r**5 - 4/9*r**2. Factor h(k).
2*(k - 1)**2*(k + 2)**3/9
Factor -10*c + 7*c**2 + 11*c + 4*c**3 + c**2 + 3*c.
4*c*(c + 1)**2
Let w(j) be the third derivative of 1/20*j**5 + 0*j**3 + 0 + 1/4*j**4 - 2*j**2 + 0*j. Factor w(f).
3*f*(f + 2)
Let h(b) be the third derivative of b**8/28 - 2*b**7/21 + b**6/30 + b**5/15 + 13*b**2. Solve h(d) = 0 for d.
-1/3, 0, 1
Let a(d) be the second derivative of 2*d + 0*d**4 + 1/3*d**3 - 1/1440*d**6 + 1/240*d**5 + 0*d**2 + 0. Let s(i) be the second derivative of a(i). Factor s(f).
-f*(f - 2)/4
Suppose -34*s + 22*s = -24. Factor 4/13*g + 2/13*g**s + 0.
2*g*(g + 2)/13
Let q(k) be the second derivative of -5*k**4/12 + 25*k**3/6 + 15*k**2 + 27*k. Determine w, given that q(w) = 0.
-1, 6
Let y(t) be the first derivative of -7*t**4/12 - 19*t**3/9 - 4*t**2/3 + 4*t/3 + 14. Factor y(b).
-(b + 1)*(b + 2)*(7*b - 2)/3
Let y(o) be the first derivative of 2*o**5/3 - 11*o**4/2 + 122*o**3/9 - 5*o**2 - 12*o + 11. What is k in y(k) = 0?
-2/5, 1, 3
Let h(y) be the first derivative of -y**7/35 + y**6/12 - y**5/15 - 7*y**2/2 + 1. Let j(x) be the second derivative of h(x). Let j(k) = 0. What is k?
0, 2/3, 1
Let q be -7 + (-16)/(-2) - 3/4. Let w(k) be the first derivative of k - 3/2*k**2 - q*k**4 + 3 + k**3. Factor w(i).
-(i - 1)**3
Suppose -2/5*r**2 + 4/5*r**3 + 1/5*r**4 - 2/5*r**5 + 1/5 - 2/5*r = 0. What is r?
-1, 1/2, 1
Let i be 4 + (-4 - (-1 + -1)). Factor i*b - 11*b**2 + 9*b**2 - 2*b + b**3.
b**2*(b - 2)
Let v(y) be the firs