3). Factor 0 + t*c - 2/5*c**2.
-2*c*(c - 1)/5
Let d be (0/2)/(-3) - 0. Let q(k) be the second derivative of -1/6*k**4 + d*k**3 + 0 + 0*k**2 - 1/10*k**5 + 3*k. Factor q(h).
-2*h**2*(h + 1)
Let v be (-4)/(-30)*((-33)/12 - -3). Let u(f) be the second derivative of v*f**6 + 0*f**2 + 0 + 0*f**3 - 3/40*f**5 - f - 1/12*f**4. Factor u(d).
d**2*(d - 2)*(2*d + 1)/2
Let n(j) be the second derivative of j + 1/15*j**3 - 1/50*j**5 + 0*j**2 + 0*j**4 + 0. Factor n(v).
-2*v*(v - 1)*(v + 1)/5
Find k such that -5/3*k**2 - 2/3*k + 0 - k**3 + 1/3*k**5 + 1/3*k**4 = 0.
-1, 0, 2
Let c(y) = y**3 - 3*y**2 - 3*y - 8 + y + 0*y**3 + y. Let k be c(4). Factor 2/7*s**k - 2/7*s + 0 - 6/7*s**3 + 6/7*s**2.
2*s*(s - 1)**3/7
Let y = 59/282 - 2/47. Let i(t) be the first derivative of 2/9*t**3 + 0*t - 2 - y*t**4 + 0*t**2. Factor i(d).
-2*d**2*(d - 1)/3
Let u(g) be the second derivative of g**10/30240 + g**9/7560 - g**7/1260 - g**6/720 - g**4/6 - 3*g. Let p(y) be the third derivative of u(y). Factor p(h).
h*(h - 1)*(h + 1)**3
Let f(g) = -g**3 + 5*g**2 + 4*g. Let a(t) = -t**3 + 4*t**2 + 3*t. Let i(s) = -4*a(s) + 3*f(s). Factor i(p).
p**2*(p - 1)
Suppose 5*a - 61 = 2*v, 3*a - 2*v = -a + 50. Suppose 0 = 3*p - a + 2. Factor 2 + p + c**4 - 4 - 2*c**2.
(c - 1)**2*(c + 1)**2
Let j = -12 - -22. Let u be (-37)/j*(-2 + -2). Let -18/5*o**4 - u*o**2 - 8/5 + 8*o + 12*o**3 = 0. What is o?
2/3, 1
Let z(a) = 6*a**3 + 3*a**2 + 5*a - 55. Let w(r) = r**3 - r**2 - 1. Let o(f) = 20*w(f) - 4*z(f). Factor o(p).
-4*(p - 2)*(p + 5)**2
Let j(v) be the second derivative of -v**6/720 + v**5/60 - v**4/16 + v**3/2 - 3*v. Let r(p) be the second derivative of j(p). Find h such that r(h) = 0.
1, 3
Let h = 206/39 + -60/13. Solve h*r + 2/3*r**2 + 0 = 0.
-1, 0
Suppose 5*q - r = 3*q + 3, -q = 3*r + 9. Let p be (-10)/12*(-1)/(20/8). Factor p*s**2 + 0*s - 1/3*s**3 + q.
-s**2*(s - 1)/3
Let d(o) = -o**2 - o + 2. Let t be d(-2). Suppose 2*y - 10 = t, -5*y + 13 = -3*s + 3. Determine v so that 0*v**s + 2*v**3 - 5*v**5 - v + 2*v**5 + 2*v**5 = 0.
-1, 0, 1
Let u be (-192)/52 + 2 + -2 + 4. Solve -14/13*x**2 - u*x + 0 = 0.
-2/7, 0
Factor 2*b**4 + 9*b**5 + b**3 - 9*b**5 + 0*b**3 + b**5.
b**3*(b + 1)**2
Let d(m) be the first derivative of -m**3/18 + m**2/4 + 2*m/3 - 13. Suppose d(j) = 0. What is j?
-1, 4
Let f = 13601/3 + -707141/156. Let a = f + -6/13. Factor -i - a*i**2 - 1.
-(i + 2)**2/4
Let r(h) be the second derivative of -h**7/840 - h**6/120 - h**5/40 - h**4/24 + h**3/3 + 2*h. Let c(b) be the second derivative of r(b). Factor c(x).
-(x + 1)**3
Let i(n) be the second derivative of 2*n**7/147 - 2*n**6/15 + 11*n**5/35 - 5*n**4/21 - 26*n. Solve i(y) = 0 for y.
0, 1, 5
Let i be 2/20*10/4. Suppose 2*f + 2*v = -f + 6, -8 = -4*f - 3*v. Suppose -i*b**3 + 0 + 0*b - 1/4*b**f = 0. Calculate b.
-1, 0
Factor -15*q - 20*q**2 + 12 - 16 + 9.
-5*(q + 1)*(4*q - 1)
Let r be -1 + (-4)/(-10) + (-18)/(-10). Factor r*y**4 + 0 + 2/5*y**3 - 4/5*y**2 + 0*y.
2*y**2*(y + 1)*(3*y - 2)/5
Let x(r) be the third derivative of -r**7/8820 + r**5/105 + r**4/6 + r**2. Let s(t) be the second derivative of x(t). Factor s(b).
-2*(b - 2)*(b + 2)/7
Let v(y) = 3*y**2 - 4*y - 5. Let p(m) = -3*m**2 + 9 + 6*m - 2 - m**2. Let b(r) = -5*p(r) - 7*v(r). Find o such that b(o) = 0.
-2, 0
Suppose 4*q + u - 9 = 0, -3*q - 3*u = -q - 7. Let o = 1 + q. Factor l**3 + o*l**3 - 2*l**3 + 2*l**2.
2*l**2*(l + 1)
Let f(c) be the first derivative of -27*c**4/16 - 15*c**3/4 - 21*c**2/8 - 3*c/4 + 7. Factor f(x).
-3*(x + 1)*(3*x + 1)**2/4
Let j = 2 + -7. Let a(y) = -y**3 - 4*y**2 + 5*y. Let i(b) = b**3 + 2*b**2 - 3*b. Let g(q) = j*i(q) - 3*a(q). Factor g(c).
-2*c**2*(c - 1)
Let x(t) be the second derivative of t**7/2520 - t**5/120 + t**4/12 - 3*t. Let c(s) be the third derivative of x(s). Factor c(l).
(l - 1)*(l + 1)
Let u(q) = -4*q**3 - 4*q**2 + 3*q. Let a(t) = -2*t**2 - 7*t - 4. Let j be a(-4). Let x(g) = -11*g**3 - 11*g**2 + 8*g. Let w(v) = j*u(v) + 3*x(v). Factor w(f).
-f**2*(f + 1)
Factor 2/7*z**2 - 12/7*z + 18/7.
2*(z - 3)**2/7
Let p(d) be the second derivative of -3*d**5/100 - 3*d**4/10 - 6*d**3/5 - 12*d**2/5 - 24*d. Factor p(a).
-3*(a + 2)**3/5
Let z = -6 + 6. Let d = -50 + 251/5. Factor 1/5*m + d*m**2 + z.
m*(m + 1)/5
Let m(w) be the second derivative of -w**5/70 - w**4/42 + 5*w**3/21 - 3*w**2/7 + 9*w. Factor m(k).
-2*(k - 1)**2*(k + 3)/7
Let r = -2 + 6. Solve -y - y**4 + 2*y**3 + 2*y**r - y**2 - y**3 + 0*y = 0 for y.
-1, 0, 1
Find u such that 5*u**4 + 0*u**4 - 10*u**3 - 8*u**2 + 13*u**2 = 0.
0, 1
Let g = 1 - -1. Factor -3*n**3 - 3*n - 3*n**4 + 4*n**4 + 0*n**3 + 4*n - n**g + 2*n**5.
n*(n - 1)*(n + 1)**2*(2*n - 1)
Let k = 51 - 49. Let f = 6 - 4. Factor -k - 1/2*b**2 - f*b.
-(b + 2)**2/2
Let j(v) be the second derivative of -8/27*v**3 + 3*v - 1/3*v**5 - 2/3*v**4 + 0*v**2 + 5/27*v**6 + 0. Suppose j(m) = 0. What is m?
-2/5, 0, 2
Factor -19*k + 108 + 47*k + 3*k**2 - 64*k.
3*(k - 6)**2
Let s(c) be the first derivative of -5*c**3/3 + 55*c**2 - 605*c + 11. Let s(f) = 0. What is f?
11
Let o be 4/22 - (-156)/110. Let w(f) be the first derivative of 5/6*f**6 + 10/3*f**3 - f**4 + 1 - o*f**5 - 1/2*f**2 - 2*f. Factor w(k).
(k - 1)**3*(k + 1)*(5*k + 2)
Let o = -1639/5 - -328. Factor -o*x - 3/5*x**2 + 0.
-x*(3*x + 1)/5
Let f(r) be the third derivative of 0*r + 0 + r**2 - 1/90*r**5 + 2/9*r**3 + 1/36*r**4. Find m, given that f(m) = 0.
-1, 2
Let b(y) = y**2 - 11*y + 15. Let u be b(10). Suppose 5 = -s - o + 4, -o = 3*s - u. Let 8/7 - 2/7*a**4 - 8/7*a + 8/7*a**s - 6/7*a**2 = 0. Calculate a.
-1, 1, 2
Let c(z) = 2*z**2 - 11*z - 3*z**2 + 4*z**2. Let r(i) = i. Let u(m) = -c(m) - 5*r(m). Factor u(b).
-3*b*(b - 2)
Let h(y) be the first derivative of -1/2*y**4 + 1 + 0*y**2 - 4/3*y**3 + 0*y. Factor h(o).
-2*o**2*(o + 2)
Suppose -2*p + 0 = -8. Suppose 4*k - 6*k - 12 = -p*s, 5*s - 5*k = 20. Factor -2/5 - 2/5*g**4 + 4/5*g**s - 4/5*g**3 + 2/5*g**5 + 2/5*g.
2*(g - 1)**3*(g + 1)**2/5
Let i(c) be the third derivative of c**6/60 + c**5/10 - c**4/3 - 46*c**2. Determine o, given that i(o) = 0.
-4, 0, 1
Suppose 0 = -2*k - 3*k + 15. Find y such that y**k + 3*y - 2 - 5*y**3 + y + 2*y**4 = 0.
-1, 1
Let r(i) be the third derivative of 0 + 1/80*i**5 + 0*i**3 - 1/32*i**4 + 0*i + 8*i**2. Factor r(m).
3*m*(m - 1)/4
Suppose -3*f = -2 - 7. Let l = 0 + f. Factor 3*v**3 - 4*v**2 + 3*v**3 + v + 0*v**l - 4*v**4 + v**5.
v*(v - 1)**4
Let n(d) be the second derivative of 3*d**5/40 - d**4/8 + d - 1. Determine g so that n(g) = 0.
0, 1
Factor -4/11*f**3 + 2/11*f - 2/11*f**4 - 2/11 + 4/11*f**2 + 2/11*f**5.
2*(f - 1)**3*(f + 1)**2/11
Let h(x) = x**2 + x - 1. Let a(y) = -2*y**3 + 12*y**2 + 24*y + 4. Let g(t) = -a(t) + 6*h(t). Factor g(w).
2*(w - 5)*(w + 1)**2
Let k(q) be the first derivative of -2/3*q**4 + 5 + 0*q**2 + 0*q - 4/15*q**5 - 4/9*q**3. Let k(y) = 0. What is y?
-1, 0
Suppose -r - 31 = 5*z, z - 7 = -0*r + 2*r. Let g be r/9*(-3 - 0). Let 7*o - 3*o - 3*o - o**g + 2 = 0. What is o?
-1, 2
Let j = 2/1179 - -1570/1179. Factor 4/3*k + 1/3*k**3 + j*k**2 + 0.
k*(k + 2)**2/3
Let l be (27/(-36))/((-6)/16). Let y be 4/(-10) + l/5. Find v, given that 7*v - v + y - 4 - 2*v**2 = 0.
1, 2
Let -1 + 5*t**2 - 5*t**2 - 2*t - 2*t**2 + t**2 = 0. Calculate t.
-1
Let r(h) = -3*h**4 - 30*h**3 - 45*h**2 + 2*h. Let p(v) = -8*v**4 - 90*v**3 - 135*v**2 + 7*v. Let s(a) = -2*p(a) + 7*r(a). Solve s(g) = 0.
-3, 0
Let v(f) be the first derivative of 9/2*f**2 - 3*f**4 - 2 + 0*f**3 - 3*f. Factor v(q).
-3*(q + 1)*(2*q - 1)**2
Let y(o) = -o**3 + o. Let d = 2 + -1. Let a = d + 0. Let h(k) = -3*k**3 + 6*k**2 - 10*k + 8. Let c(q) = a*h(q) - 2*y(q). Factor c(u).
-(u - 2)**3
Let t be ((-39)/9 - -4)/(3/(-36)). Factor 0 - 1/4*n + 1/4*n**3 + 1/4*n**t - 1/4*n**2.
n*(n - 1)*(n + 1)**2/4
Let f be (-4)/10 + 6/15. Suppose 4*k - 2*l + 0*l - 14 = f, l + 1 = -k. Suppose 2/7*i**3 + 0 + 8/7*i**k + 8/7*i = 0. What is i?
-2, 0
Let p(y) be the second derivative of 147*y**5/40 - 77*y**4/8 + 8*y**3 - 3*y**2 + 6*y. Factor p(f).
3*(f - 1)*(7*f - 2)**2/2
Let v = 7 - 5. Suppose 2*g**3 - 5*g + v*g**2 + 3*g - 4 + 2 = 0. Calculate g.
-1, 1
Let l = -33 - -33. Let y(n) be the third derivative of -2*n**2 + 0*n**3 + l*n - 1/42*n**4 + 1/420*n**6 + 0 - 1/210*n**5. Solve y(s) = 0.
-1, 0, 2
Solve 0*l + 0*l**2 - 1/2*l**3 + 0 + 1/4*l**4 = 0 for l.
0, 2
Let v be (-5 - -4)/((-3)/18). Suppose h = v*h. Factor 1/3*c