st derivative of g**6/9 + 2*g**5/5 + g**4/2 + 2*g**3/9 + 8. Factor r(b).
2*b**2*(b + 1)**3/3
Let h = 21 + -19. Suppose 6*d = 4*d. Find j such that d*j**3 + 49*j**4 + 5*j**h + 28*j**3 - j**2 = 0.
-2/7, 0
Suppose -8*x - 76 = -4*x. Let t = x - -19. Factor 0 - 2/3*o**2 + 2/3*o**5 - 2/3*o**3 + 2/3*o**4 + t*o.
2*o**2*(o - 1)*(o + 1)**2/3
Let v be 1 + (-3)/4 - 155/(-124). Solve v*f**5 + 0 - 3/2*f**3 - 3*f**4 + 0*f + 3*f**2 = 0.
-1, 0, 1, 2
Suppose 2*b + 5*s + 21 = 0, -4*s - 22 = -b - 0. Let l be (-6)/(-40) + b/8. Find a such that -4/5*a + 0 - 2*a**4 + 16/5*a**3 - l*a**2 = 0.
-2/5, 0, 1
Suppose 5*z + 16 + 9 = a, 0 = -4*a + 3*z + 15. Let h be (-1 - -5) + a/(-11). Suppose -1 + 3/2*g**3 - 1/4*g**h + 3*g - 13/4*g**2 = 0. What is g?
1, 2
Determine h so that 4 - 15*h**2 - 4 + 9*h + 3 + 3 = 0.
-2/5, 1
Let s(o) be the third derivative of o**6/600 + o**5/150 + o**4/120 + 16*o**2. Factor s(w).
w*(w + 1)**2/5
Let t be (-1743)/(-140) + (-5)/4. Solve 4/5 - t*r**4 - 6*r**3 + 6*r + 52/5*r**2 = 0 for r.
-1, -2/7, -1/4, 1
Let w(i) be the first derivative of 0*i**2 + 0*i**4 + 2*i + 1/20*i**5 + 1 + 1/30*i**6 + 0*i**3. Let d(h) be the first derivative of w(h). Factor d(g).
g**3*(g + 1)
Let b(w) be the second derivative of -w**6/90 + w**5/30 - w**4/36 - 7*w. Let b(p) = 0. What is p?
0, 1
Let f be 0 + -4*(-5)/30. Let -4/3*l - f*l**2 + 0 = 0. Calculate l.
-2, 0
Let g(x) be the first derivative of 1/6*x**3 + x - 3/4*x**2 - 4. Let g(p) = 0. What is p?
1, 2
Let n be (-3 - 0)/(6/(-4)). Let r = 2 - n. Factor 2*c**3 - 4 - 6*c**2 + r*c**3 - 4*c**3 + 10*c + 2*c**4.
2*(c - 1)**3*(c + 2)
Find p such that 6/5*p**4 - 8/5*p - 4/5*p**2 - 2/5 + 8/5*p**3 = 0.
-1, -1/3, 1
Let w(n) be the first derivative of -5*n**4/42 - n**3/3 - 2*n**2/7 - 4*n - 5. Let j(f) be the first derivative of w(f). Factor j(q).
-2*(q + 1)*(5*q + 2)/7
Let x = 123 + -367/3. Factor x*d**3 + 2/3*d**2 - 2/3 - 2/3*d.
2*(d - 1)*(d + 1)**2/3
Let z(r) be the third derivative of r**8/420 + 8*r**7/525 + 2*r**6/75 + 6*r**2. Factor z(m).
4*m**3*(m + 2)**2/5
Let r(i) be the second derivative of -i**5/50 - 2*i**4/15 - i**3/15 + 6*i**2/5 - 25*i. Factor r(f).
-2*(f - 1)*(f + 2)*(f + 3)/5
Let u(i) = -7*i**4 + 3*i**3 - 6*i**2 - 5*i. Let f(a) = 4*a**4 - a**3 + 3*a**2 + 3*a. Let v(j) = -10*f(j) - 6*u(j). Factor v(m).
2*m**2*(m - 3)*(m - 1)
Suppose -6 + 16 = 5*r. Factor y**2 - 2*y**3 + r*y**2 + 5*y**3.
3*y**2*(y + 1)
Let n = -832 + 7490/9. Solve 2/9*w**2 - n*w + 0 = 0.
0, 1
Solve -3/4*a**4 - 3/4*a + 9/4*a**2 - 3/2 + 3/4*a**3 = 0 for a.
-1, 1, 2
Let d(m) be the second derivative of 7*m**5/40 + m**4/12 + 2*m. Solve d(o) = 0 for o.
-2/7, 0
Let r(n) be the second derivative of -n**7/630 + n**6/270 + n**5/45 - n**3/2 + 4*n. Let x(v) be the second derivative of r(v). Factor x(c).
-4*c*(c - 2)*(c + 1)/3
Factor -2/7*b + 2/7*b**3 + 4/7 - 4/7*b**2.
2*(b - 2)*(b - 1)*(b + 1)/7
Let x(y) be the second derivative of 0 + 1/16*y**4 - 5*y + 1/4*y**3 + 0*y**2. Factor x(n).
3*n*(n + 2)/4
Let l(m) = 8*m**3 + 18*m**2 - 8*m + 10. Let n(t) be the first derivative of -t**4/4 - t**3/3 - t + 4. Let d(x) = -l(x) - 10*n(x). Factor d(u).
2*u*(u - 2)**2
Let r(g) be the third derivative of -1/4*g**4 + 0*g - 1/15*g**5 - 1/3*g**3 + 0 + g**2. Find s, given that r(s) = 0.
-1, -1/2
Let m(j) = -j**2 + 1. Let k(z) be the third derivative of -z**5/15 + z**4/24 + z**3/2 - 2*z**2. Let l(x) = k(x) - 3*m(x). Let l(t) = 0. Calculate t.
0, 1
Let i = -1 - -4. Let u(w) be the second derivative of 6*w**i + 0 + 1/6*w**6 + 4*w**2 + 25/6*w**4 - 2*w + 27/20*w**5. Factor u(n).
(n + 1)*(n + 2)**2*(5*n + 2)
Factor -18*c**3 + 3*c**4 + 30*c**3 - 36*c - 6*c**2 + 13 + 14.
3*(c - 1)**2*(c + 3)**2
Let n(i) be the third derivative of -i**8/1512 - 2*i**7/945 + i**5/135 + i**4/108 - 9*i**2. Find p, given that n(p) = 0.
-1, 0, 1
Factor 0 + 1/3*p**4 - 2/3*p + 0*p**3 - p**2.
p*(p - 2)*(p + 1)**2/3
Let s(u) = -230*u - 458. Let o be s(-2). Let l = -2/17 - -21/34. Let l*q**4 + 0*q**3 + 0*q + 1/2 - q**o = 0. Calculate q.
-1, 1
Let q(d) be the second derivative of 16/3*d**3 + 1/63*d**7 + 16/15*d**5 + 2*d - 16/3*d**2 + 0 - 1/5*d**6 - 28/9*d**4. Factor q(l).
2*(l - 2)**4*(l - 1)/3
Suppose -2*k = -0*k + k. Let r(g) be the first derivative of 1/4*g**4 - 1/10*g**5 + 0*g**2 + k*g - 1/6*g**3 + 2. Factor r(b).
-b**2*(b - 1)**2/2
Let k(d) be the second derivative of d**5/18 - 11*d**4/27 + 28*d**3/27 - 8*d**2/9 + 2*d. Let k(v) = 0. What is v?
2/5, 2
Let l(x) = -13*x**5 + 4*x**4 - x**3 - 9*x. Let k(w) = 3*w**5 - w**4 + 2*w. Let r(a) = 9*k(a) + 2*l(a). Find q, given that r(q) = 0.
-1, 0, 2
Let z(r) be the third derivative of -r**6/720 - r**3/6 - 2*r**2. Let l(m) be the first derivative of z(m). Solve l(w) = 0.
0
Let a = -4 + 3. Let b = a + 1. Factor 3*w**3 + b*w**3 - 6*w**3 - 2*w**4 - 6*w**2 + 3*w + 8*w**4.
3*w*(w - 1)*(w + 1)*(2*w - 1)
Let z(s) = s**3 + 8*s**2 + s + 8. Let i be z(-8). Factor 0*w**3 + 0 + 2/3*w**2 + i*w - 2/3*w**4.
-2*w**2*(w - 1)*(w + 1)/3
Factor -28 + 28 - j**2 - 16*j + 10*j.
-j*(j + 6)
Factor -2/3*w**3 + 0*w**2 + 1/3*w**4 + 0*w + 0.
w**3*(w - 2)/3
Let n(s) be the first derivative of -2*s**3/9 + 2*s**2 - 6*s + 8. Factor n(i).
-2*(i - 3)**2/3
Let s(c) = 3*c**5 - 17*c**4 - 24*c**3 - 21*c**2 - 5. Let f(p) = -p**5 + p**4 + p**2 + 1. Let v(u) = -10*f(u) - 2*s(u). Factor v(r).
4*r**2*(r + 2)**3
Determine g so that 0*g + 0 + 8/7*g**3 + 16/7*g**2 + 1/7*g**4 = 0.
-4, 0
Let w(s) = -3*s**4 + 2*s**3 + 3*s**2 + 2*s - 2. Let r(u) = 16*u**4 - 11*u**3 - 15*u**2 - 10*u + 11. Let i(d) = -2*r(d) - 11*w(d). Factor i(t).
t*(t - 2)*(t + 1)**2
Let k(g) be the first derivative of g**4/14 - 4*g**3/7 + 12*g**2/7 - 16*g/7 + 6. Solve k(d) = 0.
2
Let i(a) be the second derivative of -a**5/20 - a**4/12 + a**3/6 + a**2/2 - 5*a. Suppose i(y) = 0. What is y?
-1, 1
Let v(k) = -6*k**2 - 9*k + 9. Let f(y) = -y**2 - 2*y + 2. Suppose -34 = -2*r + 32. Let b(l) = r*f(l) - 6*v(l). Solve b(w) = 0 for w.
2
Factor 3/4*d**5 - 3*d**4 + 0 + 3/4*d + 9/2*d**3 - 3*d**2.
3*d*(d - 1)**4/4
Let k(t) be the second derivative of t**6/105 + 2*t**5/35 + t**4/21 - 4*t**3/21 - 3*t**2/7 + 23*t. Factor k(o).
2*(o - 1)*(o + 1)**2*(o + 3)/7
Let k(t) be the third derivative of 0*t**4 + 0*t + 0*t**3 + 2/105*t**7 - 7*t**2 + 0*t**5 - 1/120*t**6 + 0. Factor k(b).
b**3*(4*b - 1)
Let u(g) = 5*g**4 + 13*g**3 - 17*g**2 - g. Let l(q) = -q**4 + q**3 - q**2 + q. Let b(z) = 3*l(z) - u(z). Let b(f) = 0. Calculate f.
-2, -1/4, 0, 1
Factor -1/5*f + 0 + 2/5*f**2 - 1/5*f**3.
-f*(f - 1)**2/5
Suppose 12*h + 106 - 130 = 0. Find a, given that -4/5 - 14/5*a + 18/5*a**h = 0.
-2/9, 1
Let y(z) be the first derivative of 3*z**4/20 + 3*z**3/5 - 27*z**2/10 + 3*z - 29. Solve y(b) = 0.
-5, 1
Let d(y) = -y**2 + 4*y - 3. Let q be -6*2/(-8)*2. Let g be d(q). Factor 0 - 1/2*i**2 + 1/2*i**4 + 0*i + g*i**3.
i**2*(i - 1)*(i + 1)/2
Let m(f) be the third derivative of -f**8/2016 + f**6/180 - 17*f**2. Factor m(q).
-q**3*(q - 2)*(q + 2)/6
Let y(q) = -q + 10 + 2*q - 6*q**2 - 5. Let m(l) = -5*l**2 + l + 4. Let p(w) = -7*m(w) + 6*y(w). Factor p(z).
-(z - 1)*(z + 2)
Let d(o) = 3*o**3 - 6*o**2 + 2*o - 2. Let m(b) = -5*b**2 - 5 + 20*b - 8*b**2 - 17*b + 7*b**3. Let t(l) = -5*d(l) + 2*m(l). Factor t(h).
-h*(h - 2)**2
Let l be (-4)/(-2)*(0 + 1). Factor -l*h**2 + h**2 + h**4 + 0*h**4.
h**2*(h - 1)*(h + 1)
Solve -1 - q - 2*q**3 - q**4 + 12*q**2 + q**5 - 10*q**2 + 2*q = 0.
-1, 1
Let y(h) = 3*h**3 - 2*h**2 - 5*h - 2. Let p(o) = 4*o**2 - 7*o**3 + 6*o - 4 - 2*o**2 + 3*o**3 + 7. Let s(t) = -2*p(t) - 3*y(t). Let s(f) = 0. Calculate f.
-1, 0, 3
Let c = 43/15 - 34/15. Determine q so that -3*q**2 + 6/5*q - c*q**5 + 0 + 9/5*q**3 + 3/5*q**4 = 0.
-2, 0, 1
Let v(t) be the second derivative of t**4/32 + 9*t**3/16 + 3*t**2/2 + t - 7. Factor v(b).
3*(b + 1)*(b + 8)/8
Let d(g) = 4*g**4 + 8*g**3 + 20*g**2 + 16*g + 2. Let o(m) = -17*m**4 - 31*m**3 - 81*m**2 - 65*m - 7. Let b(w) = 9*d(w) + 2*o(w). Find r, given that b(r) = 0.
-2, -1
Let o(x) = -x + 6. Let n be o(6). Let j be (-8)/(-160) + 1/5. Factor -1/4*c + j*c**4 - 3/4*c**3 + 3/4*c**2 + n.
c*(c - 1)**3/4
Let 4/9*c**4 + 4/3*c - 4/9*c**2 - 4/3*c**3 + 0 = 0. Calculate c.
-1, 0, 1, 3
Let o(s) be the third derivative of -s**9/3024 - s**8/560 - s**7/280 - s**6/360 - s**3/3 + 3*s**2. Let i(r) be the first derivative of o(r). Factor i(u).
-u**2*(u + 1)**3
Let s(h) be the second derivat