. Let b(z) be the third derivative of s(z). Factor b(n).
-n*(n - 1)**2*(n + 2)
Let a = 144 - 144. Determine x so that 2/7*x**2 + a - 2/7*x**3 + 0*x = 0.
0, 1
Find u, given that -12*u**2 - 16*u - 2 - 4*u**3 - 4*u - 2 + 8*u = 0.
-1
Let d be (3 - 5) + 11*2. Factor 10*z**4 - 10*z + 8 - 20*z**3 + d*z**2 - z**5 - z**5 - 6.
-2*(z - 1)**5
Let o(c) be the second derivative of -529*c**4/3 + 184*c**3/3 - 8*c**2 - 9*c. Find h such that o(h) = 0.
2/23
Let j = 4 + -1. Factor -z**2 - 3*z**3 - 4*z**4 - z**5 + z**4 - z**3 + z**j.
-z**2*(z + 1)**3
Let v(r) be the second derivative of r**4/42 - 5*r**3/21 + 4*r**2/7 - 10*r. Let v(o) = 0. What is o?
1, 4
Let g(s) be the first derivative of s**6/4 - 3*s**5/5 - 3*s**4/4 + 2*s**3 + 3*s**2/4 - 3*s - 4. Find m, given that g(m) = 0.
-1, 1, 2
Let r(m) be the first derivative of -m**3/18 - m**2/12 + m/3 - 5. Factor r(f).
-(f - 1)*(f + 2)/6
Suppose 0 = 3*j - 5*s + 24, 3 - 6 = -s. Let r be (2/3)/(j/(-9)). Determine m, given that 2*m - 7*m**r + 7*m**2 + 4*m**4 - 6*m**3 = 0.
-1/2, 0, 1
Find b such that 4/5 + 4/5*b**4 - 4/5*b**5 + 8/5*b**3 - 4/5*b - 8/5*b**2 = 0.
-1, 1
Let h(q) be the first derivative of -q**4 + 4*q**3/3 + 2. What is d in h(d) = 0?
0, 1
Let o(v) be the third derivative of 7/120*v**4 + 0*v + 0 + 1/600*v**6 - 3*v**2 - 1/10*v**3 - 1/60*v**5. Factor o(p).
(p - 3)*(p - 1)**2/5
Let h(a) be the third derivative of a**5/12 - 5*a**3/6 - 2*a**2 - 9. Factor h(b).
5*(b - 1)*(b + 1)
Let u(d) = 9*d**2 + d. Let h be u(-1). Suppose -h*v + 5*v = -6. Factor -5/3*p + 7/3*p**4 + 5/3*p**3 - 3*p**v + 2/3.
(p - 1)*(p + 1)**2*(7*p - 2)/3
Let l(t) be the first derivative of -1/2*t**4 + 0*t**2 - 2/3*t**3 + 0*t - 3. Factor l(p).
-2*p**2*(p + 1)
Let o(h) be the first derivative of -5*h**7/21 + 4*h**6/5 - 9*h**5/10 + h**4/3 + 2*h - 4. Let a(i) be the first derivative of o(i). Factor a(m).
-2*m**2*(m - 1)**2*(5*m - 2)
Let h = -39/4 - -593/60. Suppose 8/5*n**4 + h*n**2 + 0*n + 14/15*n**3 + 0 = 0. What is n?
-1/3, -1/4, 0
Let j(c) be the first derivative of -1/6*c**4 - 2/15*c**5 + 1/3*c**2 + 2/9*c**3 + 0*c - 3. Factor j(l).
-2*l*(l - 1)*(l + 1)**2/3
Let -15*v - 2*v**2 + 8*v - 23*v - 3*v**2 = 0. Calculate v.
-6, 0
Let d = 11/26 + 1/13. Let j be (-9)/27*-9 - 22/8. Suppose j*k**2 + 1/4 + d*k = 0. What is k?
-1
Let f(q) = q**4 - 2*q**2. Let p(k) = -k**4 + k**2. Let a = 6 + 0. Let o(i) = a*p(i) + 3*f(i). Factor o(v).
-3*v**4
Let x = 0 - 8. Let q be 2/(-4) + (-4)/x. Suppose -1/2*t**4 + 0 + q*t + t**3 - 1/2*t**2 = 0. What is t?
0, 1
Let a = 4 - 5. Let o(w) = -8*w**3 + w + 1. Let k be o(a). Find h, given that -8*h**2 - 7*h**5 + h + 15*h**3 - 5*h**5 + k*h**4 - 4*h**5 = 0.
-1, 0, 1/4, 1
Let i be ((-28)/72 + (-1)/(-3))*-2. Let h(q) be the first derivative of 0*q + i*q**3 - 1/12*q**4 - 1/15*q**5 + 1 + 1/6*q**2. Factor h(w).
-w*(w - 1)*(w + 1)**2/3
Let u(y) be the first derivative of -y**6/360 + y**3 - 2. Let w(p) be the third derivative of u(p). Solve w(t) = 0 for t.
0
Let d(o) be the first derivative of 0*o - 4 - 1/10*o**4 - 2/15*o**3 + 2/25*o**5 + 1/5*o**2. Let d(l) = 0. What is l?
-1, 0, 1
Suppose 6 = 3*p - p. Suppose y = 2*y - p. Factor y*j**3 + 6 - 3 - 2*j - 3*j**2 - j.
3*(j - 1)**2*(j + 1)
Suppose -36*w**3 - 4*w**5 + 58 + 24*w**4 - 58 = 0. What is w?
0, 3
Let j(m) = -4*m**2 - 48*m - 48. Let p(o) = o**2 + 16*o + 16. Let u(a) = -3*j(a) - 8*p(a). What is r in u(r) = 0?
-2
Let y = 65/231 - -1/231. Suppose 0*b - y*b**2 + 2/7 = 0. What is b?
-1, 1
Let w(x) = 2*x**2 - 10. Let l be (2/(-6))/((-1)/(-3)). Let a(h) = -3 + 5 - 4 + 3. Let s(j) = l*w(j) - 8*a(j). Factor s(p).
-2*(p - 1)*(p + 1)
Let r(d) be the second derivative of 0 + 0*d**6 + 0*d**4 - 3*d - 1/35*d**5 + 1/147*d**7 + 1/21*d**3 + 0*d**2. Factor r(b).
2*b*(b - 1)**2*(b + 1)**2/7
Let b(i) be the third derivative of -5*i**8/224 + 17*i**7/140 - i**6/5 + i**5/10 - 62*i**2. Suppose b(d) = 0. Calculate d.
0, 2/5, 1, 2
Let p = 0 + 5. Let n(c) be the second derivative of 1/3*c**4 + 0 + 1/6*c**3 + 0*c**2 + 1/5*c**p + 2*c. Let n(s) = 0. What is s?
-1/2, 0
Let w(l) = l**4 - l**3 + 3*l**2 + l - 4. Let v(m) = 10*m**2 - 84*m + 4*m**2 - 20 - 6*m**3 + 6*m**4 + 90*m. Let k(a) = -3*v(a) + 16*w(a). Factor k(f).
-2*(f - 2)*(f - 1)*(f + 1)**2
Let v(s) be the third derivative of s**7/70 + 3*s**6/40 + 3*s**5/20 + s**4/8 + 4*s**2. Determine y so that v(y) = 0.
-1, 0
Let b(l) = l**3 + 6*l**2 + 3. Let w be b(-6). Let n be (2/2)/((-4)/(-8)). Find m, given that -m + m**n + m**w - m**2 = 0.
-1, 0, 1
Let i(d) be the third derivative of d**6/15 - d**5/3 + d**4/6 + 4*d**3/3 - 10*d**2. Factor i(z).
4*(z - 2)*(z - 1)*(2*z + 1)
Let p(g) be the second derivative of 5*g - 1/2*g**3 + 3/4*g**4 + 0 + 0*g**2 + 3/20*g**5 - 3/10*g**6. What is u in p(u) = 0?
-1, 0, 1/3, 1
Suppose -4*v**3 + 20*v**4 - 12*v - 60*v**2 - 8*v - 8*v + 8 = 0. What is v?
-1, 1/5, 2
Suppose -2*g - 5*t = -9, 4 = g + 3*t - t. Let n(s) be the second derivative of 1/42*s**4 - 1/7*s**g + 0*s**3 + 4*s + 0. Factor n(c).
2*(c - 1)*(c + 1)/7
Let s(t) = -3*t**2 + 2. Let z(m) = m**2 + m - 1. Let x(y) = -s(y) - 2*z(y). Determine n, given that x(n) = 0.
0, 2
Let l = -3 - -3. Let i be l/(4 - 2) - -2. Factor 2*z**2 - i*z**4 - 3*z**3 + 3*z**3.
-2*z**2*(z - 1)*(z + 1)
Suppose -2*d + 10 = -3*o + 5*o, -5*o = -10. Factor -1/6*b**d - 5/6*b + 2/3*b**2 + 1/3.
-(b - 2)*(b - 1)**2/6
Factor -2/3*m**2 + 0 - 4/3*m.
-2*m*(m + 2)/3
Suppose 0 = -4*w - 2 + 22. Let z(d) be the third derivative of -1/120*d**6 + 0*d - 1/24*d**4 + 2*d**2 + 0*d**3 + 1/30*d**w + 0. Factor z(m).
-m*(m - 1)**2
Let y(f) be the third derivative of 2*f**7/525 - 3*f**6/200 + f**5/50 - f**4/120 - 6*f**2. Factor y(j).
j*(j - 1)**2*(4*j - 1)/5
Let f(y) = y**2 - y. Let h = -2 - 1. Let a(c) be the second derivative of c**5/20 - c**4/12 + 2*c**3/3 - c. Let w(n) = h*f(n) - a(n). Factor w(i).
-i*(i + 1)**2
Factor -19*v**2 - 14*v**2 + 5*v**4 + 28*v**2.
5*v**2*(v - 1)*(v + 1)
Let i(a) be the third derivative of -7*a**7/45 - 7*a**6/18 + a**5/30 + 5*a**4/9 - 4*a**3/9 - 8*a**2. Find w, given that i(w) = 0.
-1, 2/7
Let h = -15 - -8. Let a be 0 + 0 + (h - -9). Suppose -1/2*d**a + 0*d + 1/2 = 0. What is d?
-1, 1
Let x = 40 + -34. Let q be 2/x - 10/(-60). Solve -1/2*t**2 + 1/4*t**5 - q*t**3 + 1/4*t**4 + 1/4 + 1/4*t = 0.
-1, 1
Let h(y) be the third derivative of -y**10/105840 + y**9/26460 - y**8/23520 - y**4/8 + 2*y**2. Let p(x) be the second derivative of h(x). Factor p(g).
-2*g**3*(g - 1)**2/7
Let y = -6/11 + 52/55. Factor y*k**2 + 2/5*k**3 + 0 - 2/5*k**4 - 2/5*k.
-2*k*(k - 1)**2*(k + 1)/5
Let r be 11/15 + (-6)/18. Suppose -4*q + 6 = -q. Let 2/5 - 2/5*d**3 + r*d - 2/5*d**q = 0. What is d?
-1, 1
Let p(a) be the first derivative of 1 + 14/9*a**3 - 8/3*a + 4*a**2. What is n in p(n) = 0?
-2, 2/7
Factor 43*f - 19*f**2 - 2*f**4 + 11*f**3 - 3 - 3*f - 27*f.
-(f - 3)*(f - 1)**2*(2*f - 1)
Let m = 2225/3 - 741. Solve -m*c + 0 + 1/3*c**4 + 5/3*c**2 - 4/3*c**3 = 0 for c.
0, 1, 2
Suppose x + x - 11 = -5*l, 5*x + 7 = -l. Let m(r) be the first derivative of 2*r + 25/12*r**6 + 19/8*r**4 - 2*r**2 - 23/6*r**l + 11/2*r**5 - 2. Factor m(w).
(w + 1)**3*(5*w - 2)**2/2
Let d(u) be the third derivative of u**8/1680 + u**7/1050 - u**6/300 - u**5/150 + u**4/120 + u**3/30 - u**2. Solve d(r) = 0 for r.
-1, 1
Let g = -3 - -3. Let l be (-5 + g)*4/(-5). Find k such that -k**l + 2*k**4 - k**4 + k**4 - 3*k**3 + 3*k**2 - k = 0.
0, 1
Let z(m) be the second derivative of -1/70*m**5 + 0*m**3 + 3*m + 0*m**2 - 1/42*m**4 + 1/147*m**7 + 0 + 1/105*m**6. Solve z(c) = 0 for c.
-1, 0, 1
Suppose -2*s + 14 = 2*n, 3*n - 6*s + 11 = -s. Suppose o = n*o. Let o*f - 4/3*f**3 + 0 - 4/3*f**2 - 1/3*f**4 = 0. What is f?
-2, 0
Let n(p) = -6*p**3 + 2*p**2 - 8*p + 4. Let y(l) = l**3 - l**2 + l - 1. Let f(g) = -2*n(g) - 10*y(g). Find z such that f(z) = 0.
-1
Let f = 20 + -17. Factor 2*g**f + 12*g + g**2 - 3*g**3 - 10*g.
-g*(g - 2)*(g + 1)
Let w(b) be the first derivative of 4*b**2 + 2/15*b**5 + b**4 - 3 + 8/3*b + 26/9*b**3. Solve w(f) = 0.
-2, -1
Let y(x) be the first derivative of 2*x**5 - 13*x**4/2 + 6*x**3 + x**2 - 4*x - 9. What is r in y(r) = 0?
-2/5, 1
Let l be (16/10)/((-10)/50). Let u = l - -10. Factor -4/7*p + 2/7 + 2/7*p**u.
2*(p - 1)**2/7
Suppose 18 = 2*i + 8. Suppose -2*m = -5*b + 21, 0 = i*m - 4*m - 5*b + 23. Factor 0 + 0*q + 2/9*q**4 - 2/9*q**m + 0*q**3.
2*q**2*(q - 1)*(q + 1)/9
Let u(