(m) be the third derivative of m**8/2016 + m**7/180 + m**6/40 + m**5/18 + m**4/18 - 8*m**2. Factor k(q).
q*(q + 1)*(q + 2)**3/6
Let t be (-202)/42 + 3 - -2. Let w = t - -1/7. Factor w*o**3 + 0*o - 2/3*o**4 + 0 + 0*o**2.
-o**3*(2*o - 1)/3
Let g(z) be the second derivative of z**4/54 + 2*z**3/27 + z**2/9 - 10*z. Solve g(a) = 0.
-1
Factor -r + 0*r**2 + 2*r + r**4 + 2 - 3*r**2 - 3*r**3 + 2*r**3.
(r - 2)*(r - 1)*(r + 1)**2
Let s(p) = -2*p - 3. Let f be s(-3). Let 2*j**2 + 3*j**4 + 4*j**3 - 3*j**f + 0*j**3 - 4*j**4 = 0. Calculate j.
-1, 0, 2
Let 8/23*v**3 - 14/23*v + 4/23 - 10/23*v**2 = 0. Calculate v.
-1, 1/4, 2
Suppose 0*y + 4*y - 44 = 5*k, -4*y = -4*k - 40. Let h be (-10)/(-6) + 2/y. Factor 0 - 1/2*i + h*i**2.
i*(4*i - 1)/2
Factor f**4 + 18*f**3 + 59*f + 4*f + 97*f**2 - 22*f + 103*f + 64.
(f + 1)**2*(f + 8)**2
Let t(s) be the first derivative of s**3/4 - 3*s**2/4 - 9*s/4 - 3. Determine p, given that t(p) = 0.
-1, 3
Let h(s) = s - 5. Let k be h(10). Suppose 0 = -y + 6*y - k. Let g(u) = -6*u**2 - 9*u. Let o(f) = -f**2 - f. Let i(r) = y*g(r) - 9*o(r). Factor i(c).
3*c**2
Suppose n = -0*n - 10. Let y = n + 13. Factor 0*t + 0 - 2/3*t**y + 0*t**2 - 2/3*t**4.
-2*t**3*(t + 1)/3
Factor -5/3*h**3 + 0*h**2 + 0 + 5/3*h.
-5*h*(h - 1)*(h + 1)/3
Solve 0 - 3/4*u**4 + 1/4*u**3 + 0*u - 1/4*u**5 + 3/4*u**2 = 0 for u.
-3, -1, 0, 1
Suppose 4*w + 100 = -4*x, 3*x + 6 = -w - 11. Let y = w + 31. What is g in 9/4*g**3 - 15/2*g**y - 2 + 7*g = 0?
2/3, 2
Factor -x**3 + 4*x**3 - x + 0*x**2 - 2*x**3 + x**2 - 1.
(x - 1)*(x + 1)**2
Let n(r) be the second derivative of 9*r**5/80 - 5*r**4/16 + r**3/4 - 4*r. Factor n(i).
3*i*(i - 1)*(3*i - 2)/4
Factor 0 + 1/2*i + 0*i**3 - 1/2*i**5 - i**4 + i**2.
-i*(i - 1)*(i + 1)**3/2
Find h such that 3/2*h**3 - 3/2*h**2 - 6*h + 6 = 0.
-2, 1, 2
Let h(w) be the first derivative of -5*w**5/8 + 45*w**4/32 - w**3 + w**2/4 + 16. Let h(c) = 0. What is c?
0, 2/5, 1
Let w(x) be the third derivative of x**7/11340 - x**6/1620 + x**5/540 - x**4/6 + 5*x**2. Let c(q) be the second derivative of w(q). Solve c(z) = 0.
1
Let q(z) be the second derivative of 2/3*z**3 + 2/15*z**6 - 1/5*z**5 + 0 + 0*z**2 + 4*z - 1/3*z**4. Determine j, given that q(j) = 0.
-1, 0, 1
Let o(c) be the first derivative of -c**6/480 + c**5/40 - c**4/8 + c**3 - 5. Let p(z) be the third derivative of o(z). Factor p(d).
-3*(d - 2)**2/4
Let v(u) be the second derivative of -8*u - 1/10*u**3 + 3/100*u**5 + 0*u**2 + 0*u**4 + 0. Factor v(w).
3*w*(w - 1)*(w + 1)/5
Factor -1/2 - 1/2*w**2 + 5/4*w.
-(w - 2)*(2*w - 1)/4
Let k(q) be the first derivative of 1 + 4/15*q**3 + 0*q + 1/5*q**2 - 4/25*q**5 - 1/15*q**6 + 0*q**4. Factor k(v).
-2*v*(v - 1)*(v + 1)**3/5
Suppose 3*d - c + 19 = 0, -4 + 1 = d + 3*c. Let t = -3 - d. What is f in -t*f**2 - f**2 - f - f - 2*f**3 = 0?
-1, 0
Let d(t) = -t**3 - t. Let n(q) = -7*q**3 + 3*q**2 - 6*q. Let w(j) = -10*d(j) + 2*n(j). Factor w(r).
-2*r*(r - 1)*(2*r - 1)
Let l(p) = -2 + 4*p**3 - 4*p**3 - 8*p + 3*p + 3*p**2 + p**3. Let n be l(-4). Factor -1/2*k**n + 3/2*k**3 + 1/2 - 3/2*k.
(k - 1)*(k + 1)*(3*k - 1)/2
Let i(n) = -n**2 - 4*n - 1. Let g be i(-3). Let r be (-1 + 22/20)/(12/24). Factor -r*y**g + 1/5*y + 0.
-y*(y - 1)/5
Let p(u) = u**3 - u**2 + u + 3. Let q be -2*(-20)/8 - -1. Let r(s) = -s**3 - 1. Let g(l) = q*r(l) + 3*p(l). Factor g(w).
-3*(w - 1)*(w + 1)**2
Let k(h) = -h**2 - 4*h + 7. Let r be k(-5). Factor p**2 - p**4 - 2*p**4 - p + r*p**4 + p**3.
-p*(p - 1)**2*(p + 1)
Let n be -1*(38/(-42) - 20/(-35)). Let f = 4 + -2. Factor -1/3*g + 1/3*g**4 - g**f + n*g**3 + 2/3.
(g - 1)**2*(g + 1)*(g + 2)/3
Let w(p) = -10*p**3 + 5*p**2 - 5*p. Let a(m) = -9*m**3 + 6*m**2 - 5*m. Let c(y) = -5*a(y) + 4*w(y). Let c(i) = 0. What is i?
0, 1
Let b(u) be the third derivative of -1/420*u**6 + 0*u**3 - 4*u**2 + 0*u - 1/210*u**5 + 0 + 0*u**4. Find v, given that b(v) = 0.
-1, 0
Factor 2/3*j**3 - 2/3 + j**2 - j.
(j - 1)*(j + 2)*(2*j + 1)/3
Find g such that -54/7*g**3 + 0 - 3/7*g**4 - 648/7*g - 324/7*g**2 = 0.
-6, 0
Let r = 17/19 - 47/95. Solve 4/5*t - 2/5*t**2 + 0 - r*t**3 = 0.
-2, 0, 1
Suppose 3*b + 3*v = -15, 2*b - 2*v + 8 = 18. Factor b*n**2 + 6/11*n**3 + 0 - 2/11*n - 4/11*n**4.
-2*n*(n - 1)**2*(2*n + 1)/11
Let h(r) be the third derivative of r**7/105 - r**6/60 - r**5/10 + 5*r**4/12 - 2*r**3/3 + 3*r**2. Factor h(s).
2*(s - 1)**3*(s + 2)
Let c(o) be the third derivative of o**5/20 + o**4/12 - 8*o**2. Factor c(p).
p*(3*p + 2)
Let p(h) be the second derivative of h**6/10 + h**5/30 - h**4/4 - h**3/9 + 9*h. Factor p(z).
z*(z - 1)*(z + 1)*(9*z + 2)/3
Let q = -5 - 6. Let t = -11 - q. Suppose t - 1/2*m**2 - 1/2*m + 1/2*m**4 + 1/2*m**3 = 0. What is m?
-1, 0, 1
Let i = -3/14 + 19/14. Factor -2/7*c**3 - i - 10/7*c**2 - 16/7*c.
-2*(c + 1)*(c + 2)**2/7
Let l = 21 + -9. Let 13*j**2 + 8*j**3 - 6*j**3 - 4*j**3 - l*j + j**4 - 4*j**3 + 4 = 0. Calculate j.
1, 2
Let m(v) = -19*v**3 + 62*v**2 - 80*v + 20. Let g(q) = -39*q**3 + 123*q**2 - 159*q + 39. Let a(n) = 4*g(n) - 9*m(n). Find s such that a(s) = 0.
2/5, 2
Suppose -5*u = -3*r + 34 - 0, 3*r - 2*u - 28 = 0. Let m be ((-6)/r)/(147/(-56)). Factor -m - 2/7*f + 2/7*f**3 + 2/7*f**2.
2*(f - 1)*(f + 1)**2/7
Factor 14/9*n**2 + 2/9*n**3 + 2 + 10/3*n.
2*(n + 1)*(n + 3)**2/9
Let l(p) be the third derivative of -p**8/50400 - p**7/4200 - p**6/900 - p**5/30 + p**2. Let q(c) be the third derivative of l(c). Solve q(f) = 0 for f.
-2, -1
Let f(j) be the third derivative of -1/175*j**7 + 1/15*j**3 + 0*j - 1/20*j**4 + 1/840*j**8 + 1/150*j**6 + 1/75*j**5 + 0 - 2*j**2. Factor f(b).
2*(b - 1)**4*(b + 1)/5
Let n(j) = -j**2 + 24*j - 1. Let z(u) = -8*u. Let d(o) = -4*n(o) - 11*z(o). Suppose d(t) = 0. What is t?
1
Suppose -3*g = -8*g + 20. Factor 5*k**3 + 0*k**4 - 2*k**3 - k**4 + g*k**4.
3*k**3*(k + 1)
Factor 22 - 8 + 25*v + 6 + 5*v**2.
5*(v + 1)*(v + 4)
Suppose 2/3*j**3 + 0*j + 2/3*j**4 + 0 - 4/3*j**2 = 0. Calculate j.
-2, 0, 1
Let a(b) be the third derivative of -7*b**6/180 + 4*b**5/15 - b**4/3 - b**3/6 - 4*b**2. Let j(q) be the first derivative of a(q). Determine s so that j(s) = 0.
2/7, 2
Let d = 12 + -10. Let i be d*-1*(-6)/42. Factor 8/7 + 0*z - 6/7*z**2 - i*z**3.
-2*(z - 1)*(z + 2)**2/7
Let k(c) be the second derivative of c**6/20 + 3*c**5/8 + 9*c**4/8 + 7*c**3/4 + 3*c**2/2 - 4*c. Determine i, given that k(i) = 0.
-2, -1
Let g(u) = u**3 + 6*u**2 - 9*u - 10. Let z be g(-7). Let n be (30/12)/(2/4). Factor -x**4 + x**3 + n*x**z - 3*x**4.
x**3*(x + 1)
Let d(a) be the first derivative of -a**6/900 - a**5/75 - a**4/15 + a**3/3 - 1. Let i(y) be the third derivative of d(y). Factor i(q).
-2*(q + 2)**2/5
Let g(x) be the third derivative of x**6/180 - 13*x**4/36 + 4*x**3/3 + 5*x**2 + 5. Determine y, given that g(y) = 0.
-4, 1, 3
Determine i, given that -2/19*i**2 + 2/19*i - 2/19*i**3 + 0 + 2/19*i**4 = 0.
-1, 0, 1
Let m = -13 - -17. Suppose 0 = -m*u - 0*u. Determine c so that 0*c**3 + 1/4*c**4 + 0*c - 1/4*c**2 + u = 0.
-1, 0, 1
Let u = 5 + -3. Factor n**2 + 0*n**2 - u*n + 0*n**2.
n*(n - 2)
Let l(b) = b + 1. Let d(r) = -2*r**5 - 4*r**4 + 4*r**3 + 16*r**2 + 11*r + 1. Let p(w) = -2*d(w) - 6*l(w). Find g, given that p(g) = 0.
-1, 2
Let r(j) be the second derivative of -7/4*j**4 - 5/2*j**3 - 3/2*j**2 - 9/20*j**5 - 6*j + 0. Let r(n) = 0. Calculate n.
-1, -1/3
Let r(w) be the first derivative of 0*w - 2/5*w**5 + 1/2*w**4 + 0*w**2 - 4 - 1/3*w**6 + 2/3*w**3. Factor r(v).
-2*v**2*(v - 1)*(v + 1)**2
Let b(y) be the third derivative of y**9/35280 + y**8/15680 - y**4/12 + 6*y**2. Let d(l) be the second derivative of b(l). Suppose d(r) = 0. Calculate r.
-1, 0
Determine d, given that -2/21*d**2 + 2/21 + 0*d = 0.
-1, 1
Let c(s) = s - 3. Let a be c(5). Let i = a - -1. Determine y, given that -i*y**3 - y**2 - 3*y**3 + 4*y**3 + 3*y**3 = 0.
0, 1
Let a(t) be the first derivative of -2 + 0*t**2 + 0*t**4 + 0*t + 0*t**5 + 1/720*t**6 + 2/3*t**3. Let w(p) be the third derivative of a(p). Solve w(m) = 0.
0
Let i(j) be the second derivative of -j**6/360 - j**5/15 - 2*j**4/3 - j**3/6 - 5*j. Let o(m) be the second derivative of i(m). Determine k so that o(k) = 0.
-4
Suppose 2*g + 2*o = 18, 5*g - 30 = -2*o - 0*o. Suppose 0 = 3*u - 0*u + 2*d - 12, 0 = -u - 4*d + g. Solve 8*y + 6*y**2 + 2*y + 0 + u = 0.
-1, -2/3
Let k = 345 - 343. Let x = 5/86 - -845/258. Factor -x*s**3 + 8*s**k + 4/3 - 6*s.
-2*(s - 1)**2*(5*s - 2)/