2*j - 4*b + 26 = 0. Let r(w) be the first derivative of 8/5*w + 4/5*w**2 + 1 + 2/15*w**j. Solve r(o) = 0 for o.
-2
Solve 5*q**4 + 7*q**2 + 25*q**3 + 28*q**2 + 6*q + 9*q = 0 for q.
-3, -1, 0
Suppose 2*k + 4 - 14 = 0. Let n(y) be the third derivative of 2*y**2 + 0 + 0*y**4 + 1/12*y**3 + 0*y - 1/120*y**k. Let n(o) = 0. Calculate o.
-1, 1
Let q(x) be the second derivative of x**6/720 - x**5/120 - 4*x**3/3 - 8*x. Let y(r) be the second derivative of q(r). Solve y(t) = 0.
0, 2
Suppose 9 = -5*a - r, a + 0 + 1 = -r. Let m be 15/a*(-64)/12. Factor -16 - d**3 - 12*d**2 - m*d - d**3 + 16*d.
-2*(d + 2)**3
Let y(r) be the third derivative of r**5/240 + r**4/16 + 3*r**3/8 - 49*r**2. Factor y(x).
(x + 3)**2/4
Let d(j) be the third derivative of j**6/120 - j**5/30 - j**4/24 + j**3/3 + 11*j**2. Solve d(o) = 0 for o.
-1, 1, 2
Let q = 32407/5334 - 56/381. Let w = q + -43/14. Find d, given that -2/7*d**3 + 8/7*d - w*d**2 - 2/7*d**5 + 8/7*d**4 + 16/7 = 0.
-1, 2
Factor -4/13*b + 0 - 2/13*b**3 + 6/13*b**2.
-2*b*(b - 2)*(b - 1)/13
Let c = 5 - 0. Suppose -4*o + 41 = 5*n, 3*o - 32 = -c*n + n. Determine k, given that -k**n - 4*k**3 - 2*k**4 + 0*k**3 + 3*k**3 = 0.
-1, 0
Let x(n) be the second derivative of n**5/40 + 7*n**4/72 + 5*n**3/36 + n**2/12 - 54*n. Factor x(d).
(d + 1)**2*(3*d + 1)/6
Let m(t) be the third derivative of -t**7/105 + t**6/15 - t**5/5 + t**4/3 - t**3/3 + 11*t**2. Suppose m(s) = 0. Calculate s.
1
Suppose 2*s + 3*s = 65. Let t = s - 13. Factor t*p**2 - 2/3*p + 2/3*p**3 + 0.
2*p*(p - 1)*(p + 1)/3
Factor 2 + 1 - 9*n - 3*n**2 - 3.
-3*n*(n + 3)
Let f(k) = -5*k**4 + 10*k**3 - 11*k**2 + 6*k + 3. Let h(b) = 16*b**4 - 30*b**3 + 32*b**2 - 18*b - 10. Let s(r) = 20*f(r) + 6*h(r). Determine t so that s(t) = 0.
0, 1, 3
Let j = 7 + -5. Let a(k) = j*k**2 + 2*k**3 + 2*k + 0*k**3 + 6*k**2. Let x(u) = u**3 + u**2 + u. Let i(z) = -a(z) + 4*x(z). Factor i(v).
2*v*(v - 1)**2
Factor -1/5*o**5 + 4/5*o**4 + 0*o + 0*o**2 - 4/5*o**3 + 0.
-o**3*(o - 2)**2/5
Suppose 5*q = 0, 0*n + 4 = n + 2*q. Suppose -n*a - 17 = 4*b - 1, 5*b - 20 = 5*a. Factor b + h**3 - 1/2*h**2 + 0*h - 1/2*h**4.
-h**2*(h - 1)**2/2
Factor 18/5 - 3/5*y**2 + 3/5*y.
-3*(y - 3)*(y + 2)/5
Let a(c) = -c**3 + 12*c**2 - 13*c + 26. Let k be a(11). Solve -2/5*v**2 + 1/5 + 0*v**3 + 1/5*v**k + 0*v = 0 for v.
-1, 1
Let y be ((-9)/3)/(15/(-20)). Let t(x) be the second derivative of 0 + 1/12*x**y + 5/12*x**3 - 1/2*x**2 + x - 1/8*x**5. Factor t(i).
-(i - 1)*(i + 1)*(5*i - 2)/2
Let t be 1/3*(3 - 2). Let v(z) be the first derivative of -2/15*z**5 + 0*z**2 + 0*z - 1 - 2/9*z**3 + t*z**4. Factor v(n).
-2*n**2*(n - 1)**2/3
Suppose -2 - 9*u**2 - 1 + 12*u**2 = 0. Calculate u.
-1, 1
Solve 64/5*j + 14/5*j**4 + 1/5*j**5 + 33/5*j**3 - 112/5*j**2 + 0 = 0.
-8, 0, 1
Let d(g) be the second derivative of -g**8/6720 + g**7/1680 - g**5/240 + g**4/96 + g**3/6 + 3*g. Let b(v) be the second derivative of d(v). Factor b(t).
-(t - 1)**3*(t + 1)/4
Suppose 5*h - 5*i = 0, 3*h = 4*h + i - 4. Suppose 5*t + 4*t**3 + 8 + 10*t**4 - 19*t**2 + 3*t - 11*t**h = 0. Calculate t.
-2, -2/5, 1
Let n(v) be the first derivative of 16*v**3 + 18*v**2 + 27*v/4 - 21. Suppose n(z) = 0. What is z?
-3/8
Let z(s) = -s**4 + s**3 - 2*s**2 + 2*s. Let l(y) = y**4 + y**2 - y. Suppose 2 = -5*m - 3. Let k(r) = m*z(r) - 2*l(r). Factor k(t).
-t**3*(t + 1)
Suppose 6 - 2 = 2*q. Let h = -1 - -6. Factor 5*z**h - q*z**2 - z**4 + 0*z**2 + 9*z**3 - 11*z**4 + 0*z**5.
z**2*(z - 1)**2*(5*z - 2)
Let l(y) be the first derivative of -y**6/45 - y**5/30 + y**4/18 + y**3/9 - 2*y - 3. Let i(c) be the first derivative of l(c). Find t such that i(t) = 0.
-1, 0, 1
Let q(m) be the second derivative of -m**6/10 + m**5/4 - m**4/8 + 3*m**2/2 + 4*m. Let n(g) be the first derivative of q(g). Determine k, given that n(k) = 0.
0, 1/4, 1
Let r(h) be the second derivative of -h**6/210 + 3*h**5/70 - h**4/7 + 4*h**3/21 - 31*h. Factor r(s).
-s*(s - 2)**3/7
Let k(m) be the second derivative of 3*m - 5/6*m**6 - 1/4*m**4 + 0*m**2 - 3/14*m**7 + 0 - 21/20*m**5 + 1/3*m**3. Find h such that k(h) = 0.
-1, 0, 2/9
Let f(y) be the second derivative of -y**5/4 - 13*y**4/12 - 2*y**3/3 + 2*y**2 - 5*y. Factor f(s).
-(s + 1)*(s + 2)*(5*s - 2)
Let s(j) = -j**2 + 13*j - 19. Let t be s(11). What is l in 1/2*l**4 + 0*l**2 + 0 + 0*l + 0*l**t + 1/2*l**5 = 0?
-1, 0
Let t(a) = a - 2. Let o be t(6). Let v be (-2)/7 + (5 - (-30)/(-42)). Factor 2*l**2 + 5*l**4 + 0*l**2 + o*l**3 - 2*l**4 - l**v.
2*l**2*(l + 1)**2
Let m(y) be the second derivative of y**4/24 + 5*y**3/12 + 22*y. Suppose m(i) = 0. What is i?
-5, 0
Let a be 12/5*3/9. Let m(j) = -2*j + 16. Let f be m(6). Factor 0*h**2 - a*h**3 - 2/5 + 2/5*h**f + 4/5*h.
2*(h - 1)**3*(h + 1)/5
Let y be 2 + ((12/1)/(-3) - -6). Determine r so that -10/7*r**y + 8/7*r + 46/7*r**3 - 60/7*r**2 + 16/7 = 0.
-2/5, 1, 2
Suppose -11 + 5 = 3*w. Let t(l) = -l**2 - l + 1. Let q(u) = -u**2 - u + 2. Let b(k) = w*t(k) + q(k). Factor b(n).
n*(n + 1)
Suppose -h + 2*v + 14 = 2*h, -4*h - 5*v - 12 = 0. Solve 0*q + 4/11*q**h - 6/11*q**3 + 2/11*q**4 + 0 = 0.
0, 1, 2
Let y(p) = p**3 - 3*p**2 + 2. Let g be 3*(-1 - 0)/(-1). Let c be y(g). Determine b, given that 4 - 2*b**3 + 2*b**4 - b**4 - 4 + b**c = 0.
0, 1
Find b, given that 0 + 3/5*b**2 + 3*b = 0.
-5, 0
Let t(q) = -3*q**2 - 19*q - 4. Let d be t(-6). Factor -7/4*n + 7/4*n**3 + 1/2 - 1/2*n**d.
(n - 1)*(n + 1)*(7*n - 2)/4
Determine y, given that -1/2*y**2 + 0*y + 0 = 0.
0
Let p(n) be the second derivative of -n**5/40 - 5*n**4/48 - n**3/6 - n**2/8 - 7*n. What is x in p(x) = 0?
-1, -1/2
Let u(h) be the first derivative of -h**6/60 - h**5/15 - h**4/12 + h**2 + 2. Let q(g) be the second derivative of u(g). Factor q(p).
-2*p*(p + 1)**2
Determine i, given that 2/13*i + 4/13*i**2 + 2/13*i**3 + 0 = 0.
-1, 0
Let m(x) = -x**3 + x**2 + 15. Let r be m(0). Suppose -r = -5*s - 5. Factor 0*w**2 - w + s*w**2 + 0*w - w**3.
-w*(w - 1)**2
Let y be (-2*6/(-4))/(45/54). Suppose -3/5 - 3/5*c**4 - y*c**2 - 12/5*c - 12/5*c**3 = 0. What is c?
-1
Let n(x) = -18*x**4 + 17*x**3 + 13*x**2 - 12*x + 5. Let z(d) = -27*d**4 + 25*d**3 + 20*d**2 - 18*d + 7. Let g(l) = -7*n(l) + 5*z(l). Factor g(q).
-3*q*(q - 1)*(q + 1)*(3*q - 2)
Let i(u) be the first derivative of -4 + 0*u + 4/3*u**3 - 4*u**2. Factor i(x).
4*x*(x - 2)
Suppose 0*o = -5*o. Let d be (3 + (-32)/12)*o. Let -2/7*w**2 + d*w + 0 = 0. Calculate w.
0
Let m(h) = -4*h**4 + 2*h**2 + 3*h + 2. Let t be ((-18)/10)/(9/(-30)). Let j(z) = 4*z**2 + 2*z - 1 + 5*z - 9*z**4 + t. Let u(w) = 6*j(w) - 14*m(w). Factor u(v).
2*(v - 1)**2*(v + 1)**2
Let h(v) = -v**2. Let w(o) = o**3 - 6*o**2 + 15*o - 9. Let u(b) = 2*h(b) + 2*w(b). Find d, given that u(d) = 0.
1, 3
Let o = -5 - -5. Let j(v) be the third derivative of 0*v - 1/30*v**5 + o + 2*v**2 + 0*v**3 + 0*v**4. Factor j(d).
-2*d**2
Let u(z) be the first derivative of z**6/33 - 4*z**5/55 + z**4/22 + 48. Factor u(w).
2*w**3*(w - 1)**2/11
Let o(u) be the first derivative of 4 - 8/3*u**3 - 1/2*u**4 - 4*u - 5*u**2. Factor o(j).
-2*(j + 1)**2*(j + 2)
Suppose 0 = -0*u + 2*u + 24. Let g = u - -15. What is k in -686/5*k**g - 168/5*k - 16/5 - 588/5*k**2 = 0?
-2/7
Let l = 6 + -5. Let r be l/5 + 9/5. What is n in 2*n + 2*n**3 + 0*n**3 - r*n = 0?
0
Suppose 40 = -4*d + 14*d. Suppose 0 + 10/9*b**3 + 8/9*b - 2/9*b**d - 16/9*b**2 = 0. What is b?
0, 1, 2
Let p(q) = q**2 - 5*q - 2. Let k(a) = 4*a**2 - 15*a - 7. Let g(i) = -4*k(i) + 14*p(i). Factor g(f).
-2*f*(f + 5)
Suppose 217*x**3 - 91*x**3 + 99*x**3 - 45*x**2 + 3*x - 332*x**4 - 43*x**4 = 0. Calculate x.
0, 1/5
Suppose -b + 2*w - 1 = -0, -2 = -w. Solve -32*o - o**b + o**3 - 16 - 4*o**3 + 5*o**2 - 25*o**2 = 0.
-2, -1
Let j(t) be the third derivative of t**7/6300 - t**6/600 + t**5/150 - t**4/6 - 2*t**2. Let s(i) be the second derivative of j(i). Factor s(q).
2*(q - 2)*(q - 1)/5
Let -6 + s - 8*s + 16*s + 0*s - 3*s**2 = 0. Calculate s.
1, 2
Solve -3*v**2 - 6*v**2 + 11*v**2 + v**3 + v = 0.
-1, 0
Let n(q) be the second derivative of q**6/165 + 2*q**5/55 + q**4/11 + 4*q**3/33 + q**2/11 + 20*q. What is c in n(c) = 0?
-1
Let o(i) = i + 3. Let f be o(-1). Suppose 3*j - 3*y + 9 = 2*y, f*j - 16 = -4*y. Find t such that 0 - 8/9*t**4 + 0*t - 10/9*t**3 - 4/9*t**j - 2/9*t**5 = 0.
-2, -1, 0
Let w = 3321/5 + -664. Suppose 0 + v**3 - 1/5*v - w*v**2 - 3/5*v**4 = 0. Calculate v.
-1/3, 0, 1
Let b(k) be the