2. Factor 4/5 + 2/5*a**3 - 4/5*a**2 - m*a.
2*(a - 2)*(a - 1)*(a + 1)/5
Find n such that 0 - 2/3*n - 7/3*n**2 = 0.
-2/7, 0
Let l(g) be the third derivative of 0 + 1/15*g**5 + 0*g + 1/15*g**6 + 0*g**4 + 1/42*g**7 + 0*g**3 - g**2 + 1/336*g**8. Factor l(j).
j**2*(j + 1)*(j + 2)**2
Let c(s) = -s**2 + 7*s + 3. Let o be c(7). Suppose -4*z + o*z = 0. Factor -2*q**3 + 0*q**3 - 4*q**2 - 2*q + z*q.
-2*q*(q + 1)**2
Find f, given that 4/7*f + 6/7*f**2 + 2/7*f**3 + 0 = 0.
-2, -1, 0
Let u(h) = 12*h**2 - 2*h + 18. Let f(q) = -q**2 + q - 1. Let b(g) = -10*f(g) - u(g). Find z such that b(z) = 0.
-2
Let m(q) be the third derivative of -q**9/30240 - q**8/6720 + q**6/720 + q**5/240 + q**4/8 - q**2. Let k(x) be the second derivative of m(x). Factor k(r).
-(r - 1)*(r + 1)**3/2
Let v(m) be the first derivative of -1/60*m**6 + 0*m**3 + 0*m**2 + m - 3 - 1/40*m**5 + 0*m**4. Let c(n) be the first derivative of v(n). Factor c(a).
-a**3*(a + 1)/2
Let m(n) = n**2 + 49*n. Let z(x) = 2*x**2 + 48*x. Let o(f) = -3*m(f) + 4*z(f). Factor o(a).
5*a*(a + 9)
Let h(x) be the second derivative of -x**6/90 + x**5/10 - 2*x**4/9 - x**3/3 + 3*x**2/2 - 26*x. Factor h(w).
-(w - 3)**2*(w - 1)*(w + 1)/3
Let s(k) be the third derivative of 0 - 2*k**2 + 0*k**4 + 0*k**5 + 0*k**3 + 0*k - 1/60*k**6. Factor s(w).
-2*w**3
Let q be 2/(-4) + (-21)/12*-2. Let t(g) be the second derivative of -1/3*g**q + 1/2*g**2 + 5/48*g**4 - 1/80*g**5 + 0 + 3*g. Determine j, given that t(j) = 0.
1, 2
Suppose 0*j**3 + 5*j - 3*j - 4*j**2 + 2*j**3 = 0. Calculate j.
0, 1
Let w be (-4)/18*-3 - (-364)/858. Factor 24/11*k**2 + w*k**3 + 16/11*k + 2/11*k**4 + 0.
2*k*(k + 2)**3/11
Factor -6/11*b**3 - 8/11*b**2 - 2/11*b + 0.
-2*b*(b + 1)*(3*b + 1)/11
Let p = 31/130 + -1/26. Let y = -179/5 + 36. Solve 1/5*n**3 - p*n + 1/5*n**2 - y = 0.
-1, 1
Let g(d) be the second derivative of -d**7/189 + 2*d**6/45 - 4*d**5/45 - 8*d**4/27 + 16*d**3/9 - 32*d**2/9 + 36*d. Factor g(l).
-2*(l - 2)**4*(l + 2)/9
Let v = 79 - 79. Let k(o) be the first derivative of -2/5*o**5 - 2 + 0*o + 0*o**2 + v*o**4 + 0*o**3. Find l, given that k(l) = 0.
0
Let r(j) be the second derivative of j**9/12960 + j**8/2520 + 11*j**7/15120 + j**6/2160 - j**4/6 - 2*j. Let x(w) be the third derivative of r(w). Factor x(h).
h*(h + 1)**2*(7*h + 2)/6
Let a be 7/(-66) + 350/420. Solve -6/11*w**2 + 0*w - a*w**3 + 0 - 2/11*w**4 = 0 for w.
-3, -1, 0
Let c = 135 - 131. Let a = -227/42 + 41/6. Find s such that 0 - 2/7*s**2 - 16/7*s**3 + 4/7*s - a*s**c = 0.
-1, 0, 2/5
Let -4 + 9 - 10*q - 6*q**3 - 17*q**2 - 18*q**2 - 14*q**3 = 0. What is q?
-1, 1/4
Suppose 0 = 12*v - 58 + 22. Factor 3/2*t**2 + 1/2*t**v + 3/2*t + 1/2.
(t + 1)**3/2
Let a(x) be the second derivative of -x**4/28 - x**3/14 - 41*x. Factor a(h).
-3*h*(h + 1)/7
Solve y + 0 + 1/2*y**2 = 0 for y.
-2, 0
Let f be (16 - 16)/(3*4/6). Factor 5/3*s**4 + 0*s + 0*s**2 + 2/3*s**3 + f.
s**3*(5*s + 2)/3
Let r(s) be the first derivative of s**7/420 - s**5/60 - s**3 + 3. Let p(f) be the third derivative of r(f). Let p(j) = 0. Calculate j.
-1, 0, 1
Suppose w - 4 = -3*n, -2*n - 2*w = -5*w + 12. Let m(i) be the third derivative of -1/24*i**4 - 2*i**2 + 1/120*i**6 + 0*i**3 + 0*i**5 + n + 0*i. Factor m(a).
a*(a - 1)*(a + 1)
Let p(i) = -i**5 - i**4 + i**2. Let h(m) = 3*m**5 + 9*m**4 + 9*m**3 - 21*m**2 + 6*m. Let s(z) = h(z) + 6*p(z). What is w in s(w) = 0?
-2, 0, 1
Let q(g) = 7*g**2 - 3*g + 1. Let d(a) be the first derivative of -10*a**3/3 + 2*a**2 - a - 4. Let w(h) = 5*d(h) + 7*q(h). Find t, given that w(t) = 0.
-2, 1
Find b, given that 25*b**3 + 25*b**4 - 5*b - 10*b**2 + b**2 + 14*b**2 - 10*b**4 = 0.
-1, 0, 1/3
Let j(q) be the first derivative of 3*q**5/70 - 11*q**4/42 + 4*q**3/7 - 4*q**2/7 - 2*q - 1. Let b(g) be the first derivative of j(g). Factor b(x).
2*(x - 2)*(x - 1)*(3*x - 2)/7
Factor -4/15 + 4/15*y**2 - 2/15*y + 2/15*y**3.
2*(y - 1)*(y + 1)*(y + 2)/15
Let s = 102 - 508/5. Find g such that s*g**2 + 8/5*g + 8/5 = 0.
-2
Let a(s) be the first derivative of s**6/120 - s**4/8 - 5*s**3/3 + 10. Let q(g) be the third derivative of a(g). Suppose q(z) = 0. What is z?
-1, 1
Let k(m) = -m**2 + 7*m + 11. Let g be k(8). Let f(t) be the first derivative of -1/4*t + 1/12*t**g - 1/8*t**2 - 1 + 1/16*t**4. Factor f(n).
(n - 1)*(n + 1)**2/4
Determine w so that -9*w**3 + 27/4*w**2 - 3/2*w + 0 + 3*w**4 = 0.
0, 1/2, 2
Let h(v) be the first derivative of v**4/26 + 2*v**3/13 + 2*v**2/13 - 7. Factor h(w).
2*w*(w + 1)*(w + 2)/13
Let x(i) be the second derivative of 15*i**7/14 - 5*i**6/2 - 7*i**5/2 + 5*i**4 + 20*i**3/3 + 11*i. Let x(u) = 0. Calculate u.
-2/3, 0, 1, 2
Let a(i) = -i + 11. Suppose 0 = -f + 4*y - 4, 3*f - 2*y = -10 + 28. Let o be a(f). Factor -1/2*z + 1/2*z**o + 1/2*z**2 - 1/2.
(z - 1)*(z + 1)**2/2
Let y(k) be the third derivative of -2*k**7/105 - k**6/15 + 4*k**5/15 + k**4/3 - 2*k**3 - 14*k**2. Factor y(g).
-4*(g - 1)**2*(g + 1)*(g + 3)
Let l(b) be the second derivative of -6*b - 1/16*b**4 + 0 + 0*b**2 - 3/20*b**5 + 0*b**3. What is c in l(c) = 0?
-1/4, 0
Let l(f) be the first derivative of f**6/195 + f**5/26 + 3*f**4/26 + 7*f**3/39 + 2*f**2/13 - 4*f - 2. Let c(j) be the first derivative of l(j). Factor c(p).
2*(p + 1)**3*(p + 2)/13
Let r be (-8)/12*(97 + -4). Let n = r - -316/5. Factor -n*o**2 - 2*o + 2/5*o**4 - 4/5 + 2/5*o**3.
2*(o - 2)*(o + 1)**3/5
Let n be ((-4)/6)/((-6)/(-27)). Let m(g) = -g**3 - g**2 + g. Let a(x) = 4*x**3 + 9*x**2 - 10*x + 2. Let w(r) = n*a(r) - 15*m(r). Factor w(t).
3*(t - 2)*(t - 1)**2
Let d(v) be the third derivative of -v**5/180 + v**4/36 + 9*v**2. Factor d(j).
-j*(j - 2)/3
Let x(k) be the third derivative of -k**8/2880 + k**7/1512 + k**6/1080 - k**4/12 - 2*k**2. Let q(l) be the second derivative of x(l). Let q(f) = 0. What is f?
-2/7, 0, 1
Factor -4/3*j + 2/3*j**2 + 2/3.
2*(j - 1)**2/3
Let c(d) be the second derivative of -d**7/1680 + d**6/360 - d**3 + 6*d. Let m(u) be the second derivative of c(u). Solve m(x) = 0.
0, 2
Let d be 17/12 + 45/(-60). Factor -2/3*h**2 + d*h**4 + 0*h**3 + 0*h + 0.
2*h**2*(h - 1)*(h + 1)/3
Let b = -16 + 20. Let o(s) = s + 1. Let t be o(b). Factor -2/3*k - 2/3*k**3 - 7/3*k**4 - 1/3 + 4/3*k**t + 8/3*k**2.
(k - 1)**3*(k + 1)*(4*k + 1)/3
Factor 3/2*r**5 - 6*r**3 + 3*r**2 + 0*r**4 + 9/2*r - 3.
3*(r - 1)**3*(r + 1)*(r + 2)/2
Let u(i) be the first derivative of 1 + 0*i - 1/18*i**3 - i**2 + 0*i**4 + 1/180*i**5. Let r(a) be the second derivative of u(a). Let r(w) = 0. Calculate w.
-1, 1
Let k(w) = -w**4 + 2*w**3 + 6*w**2 - 8*w + 3. Let v(r) = -r**4 + 3*r**3 + 6*r**2 - 8*r + 3. Let p(h) = -6*k(h) + 4*v(h). Suppose p(o) = 0. Calculate o.
-3, 1
Suppose -3*r + 4*f - 2 = 0, 2*f = 2*r - f + 1. Let i be (2 + -2)*(r - -1). Factor -1/4*l**3 + i - 1/2*l**2 - 1/4*l.
-l*(l + 1)**2/4
Let w(g) be the first derivative of 2*g**5/85 - 2*g**3/51 - 11. Factor w(m).
2*m**2*(m - 1)*(m + 1)/17
Suppose -9*n = -6*n - 12. Let t(g) be the second derivative of 1/60*g**5 + 0*g**2 - 3*g - 1/18*g**3 + 0*g**n + 0. Factor t(u).
u*(u - 1)*(u + 1)/3
Let r(t) be the third derivative of t**5/20 + 5*t**4/8 - 7*t**3 + 42*t**2 - t. Factor r(m).
3*(m - 2)*(m + 7)
Let v(k) be the first derivative of -k**5 + 5*k**3/3 - 4. Suppose v(l) = 0. What is l?
-1, 0, 1
Let i(t) be the second derivative of -1/30*t**4 + 3*t - 1/5*t**3 - 2/5*t**2 + 0. Factor i(q).
-2*(q + 1)*(q + 2)/5
Suppose -2*a = -26 - 26. Suppose 9 = 3*w + 3*i - 6, 5*w - a = -4*i. Solve p - 2 - 2 - p**2 + w = 0 for p.
-1, 2
Let a(g) be the third derivative of 0 + 0*g + 1/300*g**5 + 1/60*g**4 - 5*g**2 + 1/30*g**3. Factor a(i).
(i + 1)**2/5
Let a be ((-6)/(-11))/(((-160)/55)/(-8)). Factor a*p**3 + 0 + 1/2*p**2 - p.
p*(p + 1)*(3*p - 2)/2
Suppose 0 = 3*y + y. Let i = 3/2 - 5/6. Let -i*m**2 + y*m + 1/3*m**3 + 0 = 0. What is m?
0, 2
Suppose -4*y = 3 - 3. Suppose -2/3*g + y - 1/3*g**2 = 0. Calculate g.
-2, 0
Let a(k) = -3*k**2 + 18*k. Let x(m) = -m**2 + 9*m. Let y(w) = 2*a(w) - 5*x(w). Find q such that y(q) = 0.
-9, 0
Let w = 33 + -30. Let p be (-4)/6 + (-26)/(-12). Factor 3/2 + 3/2*a + 3/2*a**4 - w*a**2 + p*a**5 - 3*a**3.
3*(a - 1)**2*(a + 1)**3/2
Let f(l) = l**2 + l + 1. Let b(n) = 4*n**2 + 2*n + 3. Let g(o) = -b(o) + 5*f(o). Let d be g(-3). Solve 4*y**2 - 2 + 3*y - 3*y**d - 2*y**2 = 0.
1, 2
Let s = -10074 + 50547/5. Let i = s - 35. Factor i*w**2 - 2/5*w + 0.
2*w*(w - 1)/5
Let q(p) be the sec