0 + 5*y**3/3 + 7*y. Let o(h) be the second derivative of a(h). Factor o(x).
3*x*(x - 1)**2*(x + 1)**2
Let w(u) = -4*u - 2*u**4 - 6*u**2 + 0*u**4 - 8 + 6*u**3 + 6*u. Let j(f) = -f**4 + 4*f**3 - 4*f**2 + f - 5. Let r(m) = -8*j(m) + 5*w(m). Factor r(h).
-2*h*(h - 1)*(h + 1)**2
Let z = 45 + -133/3. Let x(i) be the first derivative of -1/2*i**4 + z*i**3 + 0*i - 2/5*i**5 + i**2 + 2. Factor x(f).
-2*f*(f - 1)*(f + 1)**2
Let l = 5577/25 + -223. Let h(j) be the first derivative of 2/5*j**2 + 0*j**3 + l*j**5 - 2/5*j - 1/5*j**4 - 1. Determine x, given that h(x) = 0.
-1, 1
Let w = 4 + 5. Let g = w - 5. Suppose 4*d + 0 - 2 - 4*d - g*d - 2*d**2 = 0. What is d?
-1
Let q(w) = 4*w**2 - 9*w + 9. Let v(s) = 11 - 37*s + 17*s**2 + 22 + 3. Let t(a) = -26*q(a) + 6*v(a). Factor t(b).
-2*(b - 3)**2
Let w(q) be the second derivative of q**4/30 + 13*q**3/15 + 67*q. What is g in w(g) = 0?
-13, 0
Let o(j) be the third derivative of -j**8/36 - 43*j**7/630 - 17*j**6/360 - j**5/90 + 7*j**2. Let o(l) = 0. Calculate l.
-1, -2/7, -1/4, 0
Let q(p) be the first derivative of p**7/20 - 2*p**6/45 - p**5/36 + p**4/18 + 2*p**3/3 - 6. Let n(u) be the third derivative of q(u). Factor n(z).
2*(3*z - 1)**2*(7*z + 2)/3
Let q(f) be the third derivative of -2*f**7/735 + f**6/420 + f**5/105 - f**4/84 + 5*f**2. Find m, given that q(m) = 0.
-1, 0, 1/2, 1
Let p(h) = 4*h**2 + 3*h. Let d(k) = 7*k**2 + 5*k. Let s(c) = 3*d(c) - 5*p(c). Let i be s(-2). Factor -4/7*l + 4/7*l**3 + 2/7 + 0*l**2 - 2/7*l**i.
-2*(l - 1)**3*(l + 1)/7
Let a(u) be the first derivative of -u**5/50 - u**4/10 - u**3/5 - u**2/5 + u - 1. Let v(k) be the first derivative of a(k). What is x in v(x) = 0?
-1
Factor -48/5*a + 9/5*a**2 + 3.
3*(a - 5)*(3*a - 1)/5
Let k(f) be the first derivative of 2/3*f**3 - 2*f**2 - 6 + 2*f. Determine u so that k(u) = 0.
1
Let d(l) be the second derivative of -5*l**6/12 - 3*l**5/8 + 3*l**4/8 - l**3/12 - 7*l. Suppose d(p) = 0. Calculate p.
-1, 0, 1/5
Let m(o) = -5*o**4 - 5*o**3 + 4*o**2 - 6. Let c(r) = 14*r**4 + 14*r**3 - 11*r**2 + 17. Let w(j) = -6*c(j) - 17*m(j). Let w(s) = 0. What is s?
-2, 0, 1
Let d(b) be the first derivative of -5 - 14/15*b**3 - 19/5*b**2 + 12/5*b. Factor d(h).
-2*(h + 3)*(7*h - 2)/5
Let q(r) be the second derivative of r**4/72 - 2*r**3/9 + 7*r**2/12 + 3*r. Factor q(j).
(j - 7)*(j - 1)/6
Let m(q) be the first derivative of -2*q**3/21 - 2*q**2/7 + 12. Determine b, given that m(b) = 0.
-2, 0
Factor 100/7 + 44/7*a**2 + 20*a + 4/7*a**3.
4*(a + 1)*(a + 5)**2/7
Let b(d) = d**2 - 6*d + 3. Let o be b(6). Suppose -1 + o + x**2 - 3*x**2 = 0. What is x?
-1, 1
Let p = 310 - 928/3. Factor p - k + 1/3*k**3 + 0*k**2.
(k - 1)**2*(k + 2)/3
Let b(o) be the second derivative of 3*o**5/20 - 7*o**3/2 + 9*o**2 + 19*o. Factor b(w).
3*(w - 2)*(w - 1)*(w + 3)
Let o be -3 - ((-1)/(-1) + -7). Suppose o*w + 6 = 5*w. Let 2/7 + 0*a**w - 4/7*a**2 + 2/7*a**4 + 0*a = 0. Calculate a.
-1, 1
Suppose -2*s - 4 = y, -2*s - 3 = -y + 5. Let p = s - -5. Factor -2*m**2 + 6*m**3 - 2*m**2 - 6*m**4 + p*m**2 + 2*m**5.
2*m**2*(m - 1)**3
Let c = -71 + 74. Let f(j) be the third derivative of -4/21*j**c + 1/21*j**4 + 0*j - 4*j**2 + 1/70*j**5 + 0 - 1/735*j**7 - 1/210*j**6. Solve f(w) = 0 for w.
-2, 1
Let o(a) be the third derivative of -a**7/560 - a**6/720 + a**3/6 + 3*a**2. Let q(k) be the first derivative of o(k). Find x such that q(x) = 0.
-1/3, 0
Let c = 67 + -401/6. Let j(a) be the first derivative of 2/15*a**5 + 1/3*a**2 + 3 + 0*a - c*a**4 - 2/9*a**3. Factor j(s).
2*s*(s - 1)**2*(s + 1)/3
Let g(z) = z**2 + 5*z - 4. Let w(y) = 2*y + 18. Let r be w(-12). Let d be g(r). Suppose 4*t**2 - 9*t**3 + 5*t**2 - 5*t + 3*t**4 + 4*t - d*t = 0. Calculate t.
0, 1
Factor 13*b**2 - 5*b**3 - 2 - 2 - 9*b**2 + b**3 + 4*b.
-4*(b - 1)**2*(b + 1)
Let i(o) = -o**4 - 5*o**3 - o**2 + o. Let s(x) = 4*x**4 + 21*x**3 + 4*x**2 - 3*x + 1. Let d(m) = -9*i(m) - 2*s(m). Let d(g) = 0. Calculate g.
-2, -1, 1
Let d(a) = -a**2. Let k(p) = p**2 + 1. Let m(y) = -d(y) - 3*k(y). Let c(l) = 5*l**2 - l + 7. Let o(u) = 6*c(u) + 14*m(u). Factor o(g).
2*g*(g - 3)
Let u(l) be the first derivative of -14*l**5/15 - 2*l**4 - 2*l**3/3 + 2*l**2/3 - 7. Solve u(n) = 0.
-1, 0, 2/7
Suppose 0 + 0*w**2 + w**4 + 0*w**3 - 1/2*w**5 + 0*w = 0. Calculate w.
0, 2
Let m(g) be the third derivative of 1/20*g**6 + 0 - 1/20*g**5 + 0*g + 2*g**2 + 0*g**3 + 0*g**4 - 1/70*g**7. What is s in m(s) = 0?
0, 1
Factor 3*a**2 - 4*a**3 - 35*a + a**3 + 41*a.
-3*a*(a - 2)*(a + 1)
Let x be -1*(-4)/(11 + -3). Factor x*w**2 - 3*w + 9/2.
(w - 3)**2/2
Let m(q) = -6*q**3 - 2*q**2 - 4*q + 4. Let g = 4 - -1. Let h be g/(-7) - 10/35. Let c(k) = k**3 + k**2 + k - 1. Let s(n) = h*m(n) - 4*c(n). Factor s(t).
2*t**2*(t - 1)
Let h = -53 + 56. Let l(a) be the second derivative of 0*a**2 + 0 - 1/6*a**h + 1/12*a**4 - 3*a. Let l(x) = 0. What is x?
0, 1
Let h(s) be the first derivative of s**6/120 - s**5/20 + s**4/8 - s**3/6 - 3*s**2/2 + 3. Let v(q) be the second derivative of h(q). Factor v(j).
(j - 1)**3
Let t(u) be the third derivative of -u**6/80 + 3*u**5/20 - 9*u**4/16 - 2*u**2. Solve t(h) = 0.
0, 3
Suppose 4*o + o - 5 = 0. Let d(c) = c**2 + 5*c + 3. Let l(k) = -k + 1. Let i(b) = o*l(b) + d(b). Solve i(s) = 0.
-2
Factor -8/5 + 18/5*v**2 - 32/5*v.
2*(v - 2)*(9*v + 2)/5
Let p(r) be the second derivative of -r**8/1680 + r**6/360 - r**3/3 + 3*r. Let u(j) be the second derivative of p(j). Determine c so that u(c) = 0.
-1, 0, 1
Let x be (-1)/(-3) + 15/9. Factor -17*w + 3*w**3 + 13*w + 8 + 36*w + 26*w**x + 3*w**3.
2*(w + 2)**2*(3*w + 1)
Let j(w) be the third derivative of -1/1008*w**8 + 1/90*w**5 + 0*w + 0 + 1/72*w**4 + 4*w**2 + 0*w**3 + 0*w**6 - 1/315*w**7. Solve j(s) = 0 for s.
-1, 0, 1
Let h(i) be the third derivative of 0 + 4/9*i**3 - 28/45*i**5 - 8*i**2 + 0*i + 1/18*i**4. Determine p, given that h(p) = 0.
-1/4, 2/7
Let a be (0 - (-2)/4)*(40 + -34). Let x(g) be the second derivative of 0*g**a - 1/33*g**4 + 7/165*g**6 + 0*g**2 + 1/22*g**5 + 3*g + 0. Factor x(f).
2*f**2*(f + 1)*(7*f - 2)/11
Let g = -10 - -14. Let q(d) be the third derivative of 4/15*d**3 + 1/150*d**5 + 2*d**2 + 0 - 1/15*d**g + 0*d. Factor q(w).
2*(w - 2)**2/5
Let y(h) be the third derivative of 0*h - 1/70*h**7 + 0 + 0*h**3 - 3/20*h**5 - 3/40*h**6 - 1/8*h**4 + 5*h**2. Determine c, given that y(c) = 0.
-1, 0
Let i(p) = -p**3 - 28*p**2 - 34*p - 7. Let m(j) = -j**3 - 42*j**2 - 51*j - 10. Let s(r) = 8*i(r) - 5*m(r). Suppose s(c) = 0. Calculate c.
-3, -1, -2/3
Suppose 0 = 5*s + 4 - 14. Let k(v) be the first derivative of 2/3*v**3 + 0*v + v**2 - s. Determine t, given that k(t) = 0.
-1, 0
Let y = -3710/9 + 413. Let v(o) be the second derivative of 2/9*o**4 - 2*o - 2/15*o**5 + 2/3*o**2 + 0 + y*o**3. Suppose v(a) = 0. Calculate a.
-1/2, 2
Let w(d) = d**3 + d**2 - 4*d - 4. Let y be w(2). Suppose -r - 4 = -0*v + 2*v, 4*r = -v + 5. Factor 2/9*t + y - 2/9*t**r.
-2*t*(t - 1)/9
Solve -400*l**2 - 3*l**4 - l**3 + 145*l - 465*l - 2*l**4 - 84*l**3 = 0 for l.
-8, -1, 0
Let l(m) = -10*m**2 + 31*m - 21. Let v(d) = -4 + 0*d - 4*d + 3*d. Let u be v(-6). Let j(q) = -2*q**2 + 6*q - 4. Let i(k) = u*l(k) - 11*j(k). Factor i(r).
2*(r - 1)**2
Let r(j) be the first derivative of j**4/18 - 5*j**3/27 + 2*j**2/9 - j + 5. Let x(k) be the first derivative of r(k). Suppose x(q) = 0. Calculate q.
2/3, 1
Suppose 3 + 53 = 2*y. Suppose 2 - 28*u - 2*u**2 + y*u = 0. Calculate u.
-1, 1
Factor -1/3*w**2 + 0 + 1/3*w**4 + 2/3*w**3 - 2/3*w.
w*(w - 1)*(w + 1)*(w + 2)/3
Suppose 0 = 3*k - 12, -6*a + 2*a - 4 = -k. Let q(d) be the second derivative of a - 1/4*d**2 - 1/6*d**3 - 3*d - 1/24*d**4. Factor q(o).
-(o + 1)**2/2
Let g be (-20)/96*3/(-15). Let t(h) be the second derivative of -1/40*h**5 + h + 0 + 0*h**3 + g*h**4 + 0*h**2. What is x in t(x) = 0?
0, 1
Find o, given that 2/3*o**2 + 1/3*o**3 - 1/3*o - 2/3 = 0.
-2, -1, 1
Let i be (-336)/8*(-5)/3. Let j = i - 346/5. Let 0 + j*y - 2/5*y**3 + 2/5*y**2 = 0. Calculate y.
-1, 0, 2
Let p = 15/46 + 4/23. Suppose 5/4*n**2 + 3/4*n**3 + 0 + p*n = 0. Calculate n.
-1, -2/3, 0
Let k(w) be the third derivative of w**6/420 + w**5/70 + w**4/28 + w**3/21 - 2*w**2. Factor k(l).
2*(l + 1)**3/7
Let r(z) = 4*z**2 + 17*z - 21. Let t(k) = -15*k**2 + 14*k**2 + 2 + 4 - 1 - 4*k. Let q(v) = 6*r(v) + 26*t(v). What is y in q(y) = 0?
-2, 1
Let g(r) = -r**2 + 5*r + 4. Let s be g(5). Fac