he first derivative of a(v). Factor b(r).
-3*(r + 1)**4
Let r(d) be the first derivative of -d**7/1120 + d**6/160 - d**4/8 + d**3 + 1. Let y(a) be the third derivative of r(a). Factor y(h).
-3*(h - 2)**2*(h + 1)/4
Factor 2/7 + 2/7*d**2 + 4/7*d.
2*(d + 1)**2/7
Suppose 0*p - 2 = 2*p. Let m be 21/9 - p/(-3). Factor i**3 - 4*i**4 + m*i**4 + 5*i**4.
i**3*(3*i + 1)
What is n in -1/3 - 2/3*n + 1/3*n**4 + 2/3*n**3 + 0*n**2 = 0?
-1, 1
Let b = -216809/270 + 803. Let o(y) be the third derivative of -1/54*y**4 + 0*y + 0 - b*y**5 - y**2 + 0*y**3. Factor o(v).
-2*v*(v + 2)/9
Let o(v) be the third derivative of v**6/420 + v**5/210 - v**4/21 - 4*v**3/21 - 12*v**2. Let o(n) = 0. What is n?
-2, -1, 2
Let k(p) = p**4 - 9*p**3 + 12*p**2 - 4*p. Let y(q) = 2*q**4 - 10*q**3 + 12*q**2 - 4*q. Let w(t) = 2*k(t) - 3*y(t). Solve w(u) = 0.
0, 1
Let d(a) be the second derivative of -1/2*a**5 - a**2 + 0 + 4/15*a**6 - 1/2*a**4 + 5/3*a**3 + a. Factor d(i).
2*(i - 1)**2*(i + 1)*(4*i - 1)
Suppose -4*y - 16 = -m - 0*m, -4*y - 16 = -5*m. Let o be y*(2/(-14) + 0). Factor 6/7*n + 6*n**2 + 50/7*n**3 + 18/7*n**4 - o.
2*(n + 1)**3*(9*n - 2)/7
Factor -2/5*m**3 + 2/5*m**2 + 0*m + 0.
-2*m**2*(m - 1)/5
Let z(h) be the second derivative of -h**6/30 - h**5/20 + h**4/12 + h**3/6 + 8*h. Solve z(v) = 0.
-1, 0, 1
Let l(o) = o**3 - 2*o**2 - 2*o. Let f(i) = i - 6. Let v be f(9). Let b be l(v). Factor 1 + 2*p**2 - b*p**2 + p - p.
-(p - 1)*(p + 1)
Suppose 0 = p + 4*p - 25. Let a(t) be the third derivative of 0 - 1/3*t**3 + 0*t + 0*t**4 - 2*t**2 + 1/30*t**p. Suppose a(g) = 0. Calculate g.
-1, 1
Let z be -1*4 - 93/(-27). Let q = 47/36 + z. Suppose 0 - q*d - 3/4*d**3 - 3/2*d**2 = 0. Calculate d.
-1, 0
Let m(o) be the third derivative of -o**8/7840 - o**7/1260 + o**5/105 - o**4/24 + o**2. Let s(a) be the second derivative of m(a). Factor s(j).
-2*(j + 1)*(j + 2)*(3*j - 2)/7
Let m(b) = -17*b**4 - 15*b**3 + 5*b**2. Let d(w) = -33*w**4 - 31*w**3 + 9*w**2. Let c(h) = -3*d(h) + 7*m(h). Factor c(s).
-4*s**2*(s + 1)*(5*s - 2)
Suppose -4*j + 2*j = -4*d - 10, d = 5*j - 16. Factor 1/2*m**2 + 0 + 1/4*m + m**4 - 7/4*m**j.
m*(m - 1)**2*(4*m + 1)/4
Suppose 0 + 6 = 3*r. Suppose -4*x = 3*g - 22, r*g - x = -0*x. Factor 1/3*u - 4/3*u**g + 0.
-u*(4*u - 1)/3
Let q(o) be the first derivative of o**3/6 + 18. Factor q(j).
j**2/2
Let l(u) be the first derivative of 1 + 0*u**2 - 2/3*u**3 + 1/2*u**4 + 0*u. Suppose l(r) = 0. What is r?
0, 1
Let j(f) be the first derivative of -f**4/16 - f**3/6 - f**2/8 - 7. Factor j(g).
-g*(g + 1)**2/4
Let p(n) be the first derivative of -4*n**5/5 - n**4 - 6. Factor p(v).
-4*v**3*(v + 1)
Let q be ((-20)/6)/(4/6). Let x = -3 - q. Let 1/2*k**3 + 0 - k**x + 0*k = 0. Calculate k.
0, 2
Let -24*y + 4*y**2 - 19 - 53 - 9*y**2 + 3*y**2 = 0. What is y?
-6
Let m be (-46)/(-66) + (-2)/6. Let g = m - 9/55. Factor -g*d - 2/5 + 1/5*d**2.
(d - 2)*(d + 1)/5
Let o(j) = -j + 12. Let u be o(10). Let x**2 - 5*x - x - 2*x**2 - 2*x**u - 3 = 0. Calculate x.
-1
Let i(b) = b**2 + 6*b - 2. Let x be i(-6). Let w be ((-2)/(-14))/(x/(-7)). Factor -1/2*f**4 + f + 0*f**2 + w - f**3.
-(f - 1)*(f + 1)**3/2
Let l(x) = -5*x**4 + 13*x**3 + 13*x**2 - 5*x. Let m(z) = 4*z**4 - 12*z**3 - 12*z**2 + 4*z. Let v be 28/5 + (-6)/(-15). Let j(t) = v*l(t) + 7*m(t). Factor j(u).
-2*u*(u + 1)**3
Let n(u) = -161*u + 3. Let m be n(2). Let b = m - -2237/7. Factor 0 + 2/7*l**4 + b*l**2 + 0*l - 6/7*l**3.
2*l**2*(l - 2)*(l - 1)/7
Factor 2*v**2 - 4*v - 9*v**2 - 2 - v**2 + 6*v**2.
-2*(v + 1)**2
Suppose -2*n + 0*n = -4. Suppose -2*g + 16 = 2*g, -2*a + 3*g = -4. Let 0*f**4 - 2*f + 13*f**2 - 12*f**3 - n*f**5 - 5*f**2 + a*f**4 = 0. Calculate f.
0, 1
Let v(x) = -x**4 - 13*x**2 + 7*x - 7. Let z(y) = 4*y**2 - 2*y + 2. Let w(k) = 2*v(k) + 7*z(k). Factor w(u).
-2*u**2*(u - 1)*(u + 1)
Let t be ((-12)/4 + -1)/(-2). Let z(q) be the third derivative of 3*q**t + 0 - 1/6*q**3 + 5/48*q**4 + 7/120*q**5 + 0*q. Factor z(d).
(d + 1)*(7*d - 2)/2
Let y(f) = f**3 - 7*f**2 + 8*f - 12. Let n be y(6). Factor n*o + 0 - 2/9*o**3 - 2/9*o**4 + 2/9*o**2 + 2/9*o**5.
2*o**2*(o - 1)**2*(o + 1)/9
Let i(d) be the third derivative of 0*d**3 + 0*d + 3*d**2 - 1/8*d**4 + 1/20*d**5 + 0. Factor i(p).
3*p*(p - 1)
Let -1/6*h - 1/3*h**2 - 1/6*h**3 + 0 = 0. What is h?
-1, 0
Factor -4/7*y**2 + 4/7*y - 4/7*y**3 + 4/7.
-4*(y - 1)*(y + 1)**2/7
Factor -4*u**3 + 26/3*u**2 + 8/3 + 2/3*u**4 - 8*u.
2*(u - 2)**2*(u - 1)**2/3
Let u be 130/(-26) + (0 - 33/(-6)). Let 0*y - 1/2*y**4 - 1/2*y**3 + u*y**5 + 0 + 1/2*y**2 = 0. What is y?
-1, 0, 1
Let s(j) = j**3 - j**2 - j. Suppose -4*b = -r - 0*r - 1, -4*b - 3*r - 3 = 0. Let f be s(b). Factor f + 2/5*n**3 + 0*n + 2/5*n**4 - 2/5*n**5 - 2/5*n**2.
-2*n**2*(n - 1)**2*(n + 1)/5
Let w(l) = l**3 + 6*l**2 + 5*l + 3. Let i be w(-5). Solve -13*q**2 - 4*q - q**2 - 6*q**3 - 2*q**3 + i - 1 = 0 for q.
-1, 1/4
Suppose 3*t - t = 108. Let r be ((-24)/t)/(2/(-3)). Suppose 2/3*c**2 + 7/3*c**3 - 7/3*c - r = 0. Calculate c.
-1, -2/7, 1
Let b(m) = -5*m**2 + 5*m + 8. Let o(g) = 2*g**2 - 2*g - 3. Let u(q) = -3*b(q) - 8*o(q). Determine h so that u(h) = 0.
0, 1
Let d(b) be the first derivative of b**4/8 - b**3/2 + 3*b**2/4 - b/2 - 6. Suppose d(n) = 0. Calculate n.
1
Let m(o) be the third derivative of o**6/80 + o**5/40 - 6*o**2. Suppose m(q) = 0. Calculate q.
-1, 0
Let o be 6 + 567/(-90) - (-8)/10. Factor -1/2*w**4 + o - w + w**3 + 0*w**2.
-(w - 1)**3*(w + 1)/2
Let g = 13 - 6. Let j = 7 - g. Factor 1/3*t**4 - t**3 + j*t**2 + 0 + 4/3*t.
t*(t - 2)**2*(t + 1)/3
Let u = 4/3 - 5/6. Let p(x) be the second derivative of -1/4*x**4 - 1/2*x**2 - 1/20*x**5 - u*x**3 + 0 - 3*x. Factor p(c).
-(c + 1)**3
Suppose -5*h - 1 + 11 = 0. Factor 4*w**2 - w**4 - 5*w**h - 72*w**3 + 70*w**3.
-w**2*(w + 1)**2
Let t = 777 - 1551/2. Factor -1/4*c**2 - 9/4 + t*c.
-(c - 3)**2/4
Let l(n) be the first derivative of n**4/16 - 5*n**3/12 + 7*n**2/8 - 3*n/4 - 34. Factor l(r).
(r - 3)*(r - 1)**2/4
Let o be (-1)/5 - (13 + 3228/(-240)). Factor -o*f - 1/2*f**2 - 1/4*f**3 + 0.
-f*(f + 1)**2/4
Let j(z) be the first derivative of 2*z**3/51 + 5*z**2/17 + 12*z/17 + 22. Factor j(c).
2*(c + 2)*(c + 3)/17
Let o(m) = -3*m - 1. Let c be o(-2). Suppose -c*d + 2*d = 0. Determine k, given that -6*k**3 + 7*k**3 - 2 + k**3 + 6*k - 6*k**2 + d*k**3 = 0.
1
Let t(d) be the second derivative of 0 - 1/90*d**5 + 0*d**3 + d**2 + 1/36*d**4 + d. Let z(p) be the first derivative of t(p). Factor z(g).
-2*g*(g - 1)/3
Let r(k) = k**3 + 6*k**2 - 2*k - 8. Let v be r(-6). Suppose -v*m - 3*s = -2*s - 5, -s = -m - 5. Factor p + m*p - 4 + 1 + p**2 + 1.
(p - 1)*(p + 2)
Let h be (0 - 2)/(9 + -10). Solve 1/5*k**3 - 1/5*k**h - 2/5*k + 0 = 0 for k.
-1, 0, 2
Let j(t) be the first derivative of -4/7*t - 3 + 1/7*t**2 + 2/21*t**3. Find b such that j(b) = 0.
-2, 1
Let j(a) be the first derivative of a**6/720 - a**5/120 + a**4/48 - a**3/3 + 1. Let k(g) be the third derivative of j(g). Factor k(y).
(y - 1)**2/2
Find f such that -4/3*f + 4/3*f**5 - 8/3*f**4 + 0*f**3 + 0 + 8/3*f**2 = 0.
-1, 0, 1
Let y = 28 - 49. Let i = y + 30. Factor 4 - 2*r - i*r**2 + 8*r**2 - 5.
-(r + 1)**2
Let q(i) be the second derivative of -2/9*i**2 - 2*i - 1/18*i**4 - 5/27*i**3 + 0. Factor q(p).
-2*(p + 1)*(3*p + 2)/9
Let f(b) = -b**3 - b**2 - 7*b - 5. Let y(k) = 3*k**3 + 2*k**2 + 15*k + 11. Let v(m) = 5*f(m) + 2*y(m). Factor v(n).
(n - 3)*(n + 1)**2
Suppose u - f = -2 + 4, -5*u = -f - 10. Suppose 3*t - 4 = u*y, t = 5*y - 11 - 5. Factor g + 0 + g - y + 2*g**2.
2*(g - 1)*(g + 2)
Let c(a) be the second derivative of -3*a**5/20 - a**4/2 - a**3/2 - 5*a. Factor c(v).
-3*v*(v + 1)**2
Factor 0*t - 2/7*t**4 - 6/7*t**2 - 8/7*t**3 + 0.
-2*t**2*(t + 1)*(t + 3)/7
Factor -8/7 - 18/7*v**2 - 40/7*v.
-2*(v + 2)*(9*v + 2)/7
Let s(l) be the third derivative of l**6/720 - l**5/60 + l**4/12 - l**3/6 - 3*l**2. Let p(m) be the first derivative of s(m). Find v such that p(v) = 0.
2
Let j(m) be the first derivative of m**8/840 - m**7/210 - m**6/60 + m**5/15 + m**4/3 - 2*m**3/3 + 9. Let l(y) be the third derivative of j(y). Factor l(x).
2*(x - 2)**2*(x + 1)**2
Let w(h) be the first derivative of -10*h**6/3 - 28*h**5/5 + 3*h**4 + 28*h**3/3 + 4*h**2 + 3. Determine k so that w(k) = 0.
-1, -2/5, 0, 1
Let c(d) = d - 2. Let u be c(7). Let -5 - 4*w**3 + w**4 + u + 5*w**2 - 2*w = 0. Calculate w.
0, 1, 2
Suppose -2*h = h. Let q be 2/