 first derivative of b**3/3 + b**2 + 6. Factor n(a).
a*(a + 2)
Let s be (-84)/(-315)*(6 + 0 + -1). Suppose s + 2*x + 2/3*x**2 = 0. What is x?
-2, -1
Determine w, given that 2/5*w**2 + 2/5*w**3 - 4/5*w + 0 = 0.
-2, 0, 1
Let d(f) be the third derivative of -f**9/6048 + f**8/1120 - f**7/560 + f**6/720 - 5*f**3/6 + 3*f**2. Let r(o) be the first derivative of d(o). Factor r(b).
-b**2*(b - 1)**3/2
Let h(z) = -z**2 + z - 1. Let r(s) = 3*s**5 - 3*s**4 - 6*s**3 + 2*s**2 + 7*s - 7. Let y(m) = 4*h(m) - r(m). Factor y(a).
-3*(a - 1)**3*(a + 1)**2
Let z(u) = 3*u**4 - 6*u**3 + 6*u**2 + 6*u - 6. Let j(i) = -3 + 2 - i**2 - i + 4 - 2. Let t(d) = -6*j(d) - z(d). Factor t(r).
-3*r**3*(r - 2)
Solve 0*b**4 + 12/7*b**3 + 6/7*b + 16/7*b**2 - 2/7*b**5 + 0 = 0.
-1, 0, 3
Let f(y) be the third derivative of -y**6/360 - y**5/30 - y**4/6 - 4*y**3/9 - 10*y**2. Factor f(p).
-(p + 2)**3/3
Let y = 6 + -2. Suppose -y*o = 0, -o - o = 3*n - 21. Determine k, given that 0 + 5*k - 1 + 6 - 3 - n*k**2 = 0.
-2/7, 1
Factor 0*n + 6/11*n**3 + 2/11*n**5 + 2/11*n**2 + 0 + 6/11*n**4.
2*n**2*(n + 1)**3/11
Let y(g) be the third derivative of -g**9/16632 + g**8/9240 + g**7/4620 - g**6/1980 + g**3/6 + 4*g**2. Let d(u) be the first derivative of y(u). Factor d(p).
-2*p**2*(p - 1)**2*(p + 1)/11
Let w = -1072/7 + 154. Let y = 288 + -2014/7. Factor 0*g + 0 - 2/7*g**2 - 6/7*g**4 - y*g**5 - w*g**3.
-2*g**2*(g + 1)**3/7
Let j = -661 - -663. Determine y, given that 0*y**j + 12/5*y**3 - 9/5*y + 3/5 = 0.
-1, 1/2
Let t be (2 + 0)*-3 - -2. Let f be ((-12)/15)/(t/10). Factor o**4 - o**f + 0*o**4 - 2*o**5 + o**3 + o**5.
-o**2*(o - 1)**2*(o + 1)
Let w(z) = z**2 + z. Let q(j) = -12*j**2 + 30*j. Let t(s) = s. Let y(a) = -q(a) + 30*t(a). Let h(c) = -8*w(c) + y(c). Find p, given that h(p) = 0.
0, 2
Let a(g) be the first derivative of -2*g**3/27 + 2*g**2/3 - 2*g + 14. Factor a(l).
-2*(l - 3)**2/9
Let i(c) be the third derivative of c**6/120 + c**5/30 + c**4/24 + 17*c**2. Find y such that i(y) = 0.
-1, 0
Let q(n) = 5*n - 18. Let l be q(4). Let c(k) be the second derivative of -1/30*k**4 + 0*k**3 + 3*k + 1/5*k**l + 0. Solve c(m) = 0 for m.
-1, 1
Let q(s) = -s**4 + 3*s**3 + 6*s**2 + s. Let c(v) = -2*v**4 + 2*v**3 + 5*v**2 + v. Let j(t) = -3*c(t) + 2*q(t). Factor j(l).
l*(l - 1)*(2*l + 1)**2
Suppose -4*o + 4 + 0 = 0. Let l(u) = 3*u**5 - 2*u**4 + 2*u**2 + 5*u - 4. Let s(b) = b**5 + b - 1. Let i(j) = o*l(j) - 4*s(j). Factor i(v).
-v*(v - 1)*(v + 1)**3
Let x = 1605/1897 - -3/271. Let 3/7 + x*d + 3/7*d**2 = 0. What is d?
-1
Let m be 3 + (477/(-20))/9. Let c(x) be the second derivative of -x**4 - 1/2*x**3 + 0 - x + x**2 - m*x**5. Factor c(s).
-(s + 1)**2*(7*s - 2)
Factor 12/17*i - 18/17 - 2/17*i**2.
-2*(i - 3)**2/17
Let t be (-34)/(-360)*3 - (1 + -1). Let q(h) be the third derivative of 1/21*h**7 + t*h**6 + 11/12*h**4 + 2/3*h**3 + 7/10*h**5 + 0*h + 0 - 4*h**2. Factor q(o).
2*(o + 1)**3*(5*o + 2)
Let h(c) = c**2 - 2*c + 1. Let m(n) = -2*n**2 + 3*n - 1. Let g(s) = 2*h(s) + 3*m(s). Determine i, given that g(i) = 0.
1/4, 1
Let q(p) be the third derivative of -p**5/100 - p**4/20 - p**3/10 + 5*p**2. Solve q(a) = 0.
-1
Let p(h) be the third derivative of h**8/11760 + h**7/980 + h**6/210 + h**5/105 - 7*h**3/6 + 10*h**2. Let c(d) be the first derivative of p(d). Factor c(m).
m*(m + 2)**3/7
Let u(h) be the second derivative of h**6/6 - 5*h**4/12 + 2*h - 4. Factor u(t).
5*t**2*(t - 1)*(t + 1)
Find x, given that 3/2*x**5 - 5/4*x**4 + 1/2*x**2 + 0*x - 3/4*x**3 + 0 = 0.
-2/3, 0, 1/2, 1
Suppose 2*d - 3 - 1 = 0. Let q(k) = -k**2 + 2*k + 2. Let a be q(d). Factor 6*c - 3*c**a + 1/2*c**3 - 4.
(c - 2)**3/2
Let n be (-2)/(-16)*76/57. Determine s, given that -n*s**5 - 2/3*s**3 - 1/3*s**2 - 1/3 + 5/6*s + 2/3*s**4 = 0.
-1, 1, 2
Let t(d) = d + 1. Let o be t(1). Suppose 6*c**2 + c**o - 6 - 5*c**2 + 2 + 2*c = 0. Calculate c.
-2, 1
Suppose -v + 0*k = -3*k - 14, 4 = -k. What is q in 2/3*q**v + 0 + 0*q = 0?
0
Let q(b) be the second derivative of -7*b**4/18 + 2*b**3/9 - 45*b. Factor q(t).
-2*t*(7*t - 2)/3
Let d(x) be the second derivative of -x**7/189 - 2*x**6/135 + x**5/45 + 2*x**4/27 - x**3/27 - 2*x**2/9 + 2*x - 1. Solve d(f) = 0 for f.
-2, -1, 1
Let v be -3*(-2)/(-8) - (-18)/24. Let g(f) be the third derivative of 0*f**7 + 0*f**6 + 0*f**3 + 0*f - f**2 + 0*f**5 + v + 1/336*f**8 + 0*f**4. Factor g(z).
z**5
Let r = -44/3 + 226/15. Let -12/5*o**3 - 2/5*o + 0 - 8/5*o**4 - r*o**5 - 8/5*o**2 = 0. Calculate o.
-1, 0
Let z(m) be the second derivative of -m**6/6 + m**5/2 - 5*m**4/12 - 5*m. Factor z(t).
-5*t**2*(t - 1)**2
Let n(u) = 3*u**2 - 2*u + 2. Let r(p) = 15*p**2 - 11*p + 11. Let i(m) = 11*n(m) - 2*r(m). Factor i(b).
3*b**2
Let t(n) = 2*n**3 - 4*n**2 - n. Let o(i) = -4*i**2 + 5*i**3 + 0*i**3 + 2*i - 4*i**3 - 4*i. Let m(v) = -2*o(v) + 3*t(v). Factor m(g).
g*(2*g - 1)**2
Let q(j) = 20*j**2 + 76*j + 16. Let z(t) = 4*t**2 + 15*t + 3. Let y(x) = 3*q(x) - 16*z(x). Factor y(d).
-4*d*(d + 3)
Let x(s) be the first derivative of -2/3*s - 1 + 1/9*s**3 + 1/15*s**5 - 1/4*s**4 + 1/2*s**2. Suppose x(l) = 0. Calculate l.
-1, 1, 2
Suppose -i = 2*i - 6. Suppose y + 2 = -i*k, y = -0*y + k + 7. Determine q so that -5*q + 0 - q**3 + 8 + y*q**2 - 6 = 0.
1, 2
Let k = -68727/1148 + -303/164. Let c = k - -62. Factor c - 4/7*v + 2/7*v**2.
2*(v - 1)**2/7
Let d(y) = 3*y**3 + 5*y**2 - 12*y + 8. Let w(g) = g**3 - g + 1. Let t = -17 + 5. Let n(c) = t*w(c) + 3*d(c). Suppose n(l) = 0. Calculate l.
1, 2
Let n(v) be the third derivative of -2*v**5/105 - v**4/21 - v**3/21 - 3*v**2. Factor n(l).
-2*(2*l + 1)**2/7
Let i be (1 - 2) + 90/80. Let k(o) be the first derivative of -i*o**6 + 0*o**2 - 2/5*o**5 - 2 - 7/16*o**4 + 0*o - 1/6*o**3. Let k(m) = 0. What is m?
-1, -2/3, 0
Let b be (-3 + 117/45)/(12/(-5)). Let h(f) be the second derivative of 0 + b*f**3 - 2*f + 1/12*f**4 + 0*f**2. Factor h(r).
r*(r + 1)
Solve -8/5*k**3 + 26/5*k - 8/5 + 26/5*k**2 = 0.
-1, 1/4, 4
Suppose -3*y - y + 16 = 0. Suppose -2*a = d, -a - 2*a = y*d + 10. Suppose -s**2 - 2*s + 0*s**a + 2*s**2 + 1 = 0. Calculate s.
1
Let j(t) = 7*t**2 - 6*t + 2. Let c be j(1). Factor 0 + 8/5*f + 2*f**c - 24/5*f**2.
2*f*(f - 2)*(5*f - 2)/5
Let z(h) be the third derivative of 7/80*h**6 + 0 - 1/8*h**4 - 1/8*h**5 - 8*h**2 + 0*h + 0*h**3. Factor z(b).
3*b*(b - 1)*(7*b + 2)/2
Let v(r) = 8*r**2 + 6*r. Let b(n) = -n**2 + n. Let g(d) = 6*b(d) + v(d). Determine t so that g(t) = 0.
-6, 0
Suppose 11*o = 12*o. Let g(x) be the third derivative of -1/210*x**7 + 0 + 0*x**3 - 1/120*x**5 + 1/96*x**6 + 0*x**4 + 3*x**2 + o*x + 1/1344*x**8. Factor g(n).
n**2*(n - 2)*(n - 1)**2/4
Factor 8*d**3 - 20/3*d**4 + 16/3*d**2 + 0 + 4/3*d**5 - 32/3*d.
4*d*(d - 2)**3*(d + 1)/3
Let r(d) be the first derivative of 0*d + 1 - 4/27*d**3 + 2/45*d**5 + 0*d**2 - 1/18*d**4. Find v, given that r(v) = 0.
-1, 0, 2
Let z(s) = 2*s**3 - 4 + s**3 + 6*s - 3*s**2 + 0*s - 12*s**3. Let q be -2 - 6/(2 - -1). Let l(a) = -a**3 + a - 1. Let y(x) = q*l(x) + z(x). Factor y(i).
-i*(i + 1)*(5*i - 2)
Factor 6 + 38*s**2 - 27*s - 14*s**2 - 3*s**2.
3*(s - 1)*(7*s - 2)
Let v = 11 - 8. Let w(i) be the third derivative of 0 - 2*i**2 + 1/60*i**5 + 1/24*i**4 + 0*i - 1/120*i**6 - 1/210*i**7 + 0*i**v. Find l such that w(l) = 0.
-1, 0, 1
Let q be ((-3)/42)/(19/(-38)). Factor 4/7*s**3 + 4/7*s**2 + 0 + 0*s + q*s**4.
s**2*(s + 2)**2/7
Suppose 3*h - 7*h + 4 = 0. Let r = h + 1. Factor 2*x + 4*x**2 + x - r + x**2 + 0*x**2.
(x + 1)*(5*x - 2)
Solve y**2 - 499 - 2*y**2 + 0*y + 502 - 2*y = 0 for y.
-3, 1
Let a(d) = -d**2 + 3*d + 2. Let g be a(3). Determine v, given that -3*v**g - 4 - 1/2*v**3 - 6*v = 0.
-2
Determine y so that 0 - 4/3*y + 2*y**3 - 2/3*y**5 - 2/3*y**2 + 2/3*y**4 = 0.
-1, 0, 1, 2
Suppose -3*j = -5*r + 37, 4*j + 14 = -2. Factor -1/4*l**4 + 1/4*l**r + 1/2*l**2 - 1/4 + 1/4*l - 1/2*l**3.
(l - 1)**3*(l + 1)**2/4
Let d = 35/34 + 8/17. Let d*k + 1/2*k**2 + 1 = 0. Calculate k.
-2, -1
Let y(u) be the second derivative of 0 + 5*u + 1/12*u**4 + 1/3*u**3 - 3/2*u**2. Determine w, given that y(w) = 0.
-3, 1
Let v(t) be the second derivative of 2*t**5/45 - t**4/36 - t**2 + 4*t. Let h(r) be the first derivative of v(r). Factor h(b).
2*b*(4*b - 1)/3
Let v(n) be the first derivative of 2*n - n**2 + 1/2*n**4 - 2/3*n**3 - 1. Find h, given that v(h) = 0.
-1, 1
Let g(t) = -3*t. Let h be g(-1). Find n such that 2*n**5 + 4*n**