e of -w**7/84 - 31*w**6/240 - 11*w**5/20 - 13*w**4/12 - 2*w**3/3 + w**2 - 7*w. Determine g so that l(g) = 0.
-2, 1/4
Let i(t) be the second derivative of 3*t**5/4 - 5*t**4/2 + 5*t**3/2 + t. Let r(b) = -3*b**3 + 6*b**2 - 3*b. Let c(s) = 5*i(s) + 24*r(s). Factor c(j).
3*j*(j - 1)**2
Let c(i) = 13*i**4 - 12*i**3 - 13*i**2 + 17*i - 5. Let n(a) = 20*a**4 - 18*a**3 - 20*a**2 + 25*a - 7. Let u(q) = 7*c(q) - 5*n(q). Solve u(y) = 0 for y.
-1, 0, 2/3, 1
Find t, given that 8/9*t**2 + 0 + 2/9*t - 10/9*t**3 = 0.
-1/5, 0, 1
Let v = 14/113 - 2285/2938. Let u = -2/13 - v. Factor 1/2*g - u*g**3 - 1/2*g**4 + 0 + 1/2*g**2.
-g*(g - 1)*(g + 1)**2/2
Let x(b) = -10*b**2 + 19*b + 9. Let q(y) = -9*y**2 + 18*y + 9. Let c(o) = 4*q(o) - 3*x(o). Factor c(i).
-3*(i - 3)*(2*i + 1)
Factor -30/7*m**2 + 26/7*m - 8/7 + 2*m**3 - 2/7*m**4.
-2*(m - 4)*(m - 1)**3/7
Let v(q) = -2*q**3 - 2*q**2 + 4*q + 5. Let m(c) = c**3 + c**2 - 1. Let a(l) = m(l) + v(l). Factor a(u).
-(u - 2)*(u + 1)*(u + 2)
Let p = -116 + 116. Let r(w) be the third derivative of 0*w**3 + 1/210*w**5 - 1/42*w**4 + w**2 + p + 0*w. Solve r(o) = 0.
0, 2
Let -4/9*c + 0*c**2 + 4/9*c**3 - 2/9*c**4 + 2/9 = 0. Calculate c.
-1, 1
Suppose 5*d + 3*h = -5, -d + 12 = -0*d - 2*h. Factor -9*w**4 - 6*w + 6*w**3 + 5*w**2 + 0*w**3 + 2*w**2 + d*w**2.
-3*w*(w - 1)*(w + 1)*(3*w - 2)
Suppose 6*n = 4*n + 12. Suppose 0 = -o - o + n. Factor 7*u - 4 + 6*u**2 + 6 + 2*u**o - u.
2*(u + 1)**3
Let v be ((-3)/5)/(3/15). Let p be (v/10)/(12/(-10)). Determine r so that 1/2 + p*r**2 + 3/4*r = 0.
-2, -1
Let c = 58 + -115/2. Factor 0 - 1/2*r**3 + 1/2*r**4 - c*r**2 + 0*r + 1/2*r**5.
r**2*(r - 1)*(r + 1)**2/2
Suppose 2/5*h**4 + 0 - 8/5*h**3 + 2*h**2 - 4/5*h = 0. What is h?
0, 1, 2
Let r(j) be the third derivative of 1/12*j**3 + 1/24*j**4 + 0 + 0*j + 2*j**2 + 1/120*j**5. Factor r(x).
(x + 1)**2/2
Let g(r) be the second derivative of r**5/16 - 25*r**4/16 + 125*r**3/8 - 625*r**2/8 + 38*r. Factor g(p).
5*(p - 5)**3/4
Let l(x) be the third derivative of -x**5/20 - 3*x**4/8 - 4*x**2. Factor l(d).
-3*d*(d + 3)
Let f(s) be the second derivative of s**7/42 - s**5/5 - s**4/6 + s**3/2 + s**2 - 2*s. Let f(b) = 0. What is b?
-1, 1, 2
Factor 5/4 - a - 1/4*a**2.
-(a - 1)*(a + 5)/4
Let j be (8/(-10))/((-38)/95). Suppose 1/2*d**j + 0*d - 1/2 = 0. What is d?
-1, 1
Let r(p) be the third derivative of -p**5/60 - 11*p**4/24 + 55*p**2. Let r(n) = 0. What is n?
-11, 0
Find s such that -6/5*s + 2/5 - 5/2*s**2 - 9/10*s**3 = 0.
-2, -1, 2/9
Let x = 1 + 5. Let p be 8/3 - 10/15. Factor 0*k**2 + k**2 - x*k + 9*k + p.
(k + 1)*(k + 2)
Let a be 2/4 - 33/6. Let v be (-3)/(-15)*-2*a. Factor -g**v + g**3 + 0*g**3 + 2*g**2.
g**2*(g + 1)
Let q(t) = -t + 1. Let j be q(0). Let z(b) = 3*b. Let i be z(j). Find x such that 5/3*x**2 - i*x**3 + 3*x - 7/3*x**4 + 2/3 = 0.
-1, -2/7, 1
What is p in -12/5*p**2 + 2/5*p**3 - 16/5 + 24/5*p = 0?
2
Let f(w) be the third derivative of w**2 - 1/6*w**3 + 0 + 1/720*w**6 + 1/240*w**5 + 0*w**4 + 0*w. Let x(d) be the first derivative of f(d). Factor x(r).
r*(r + 1)/2
Let w = -8 + 13. Suppose 0*k**5 + 9*k**3 + 4*k**2 + 4*k**2 - 2*k**2 - 3*k**w = 0. What is k?
-1, 0, 2
Factor 2/3*v**2 + 2/3*v + 2/9 + 2/9*v**3.
2*(v + 1)**3/9
Suppose -2*n + 0*w - w + 8 = 0, -2*n - 2 = -4*w. Determine j, given that 4*j**4 + 1/4 + 1/4*j**2 - 6*j**n + 3/2*j = 0.
-1/4, 1
Suppose 2*r + 6 = 4*r. Suppose -r*o - 4 = -5*t - o, 3*o = 4*t + 1. Factor -z**3 + 5 + 3*z**2 - 4 - 5*z + t*z.
-(z - 1)**3
Let o(d) be the first derivative of 3*d**5/35 + 3*d**4/28 - 2*d**3/7 + 4. Determine l, given that o(l) = 0.
-2, 0, 1
Let l(y) be the third derivative of y**6/420 + 2*y**5/105 + y**4/21 + 26*y**2. Factor l(z).
2*z*(z + 2)**2/7
Let v(c) be the third derivative of c**5/60 - c**4/24 - 15*c**2. Determine w so that v(w) = 0.
0, 1
Let d(h) be the third derivative of -1/240*h**5 + 0*h**3 + 0*h - 1/480*h**6 + 0 + 0*h**4 - 6*h**2. Factor d(k).
-k**2*(k + 1)/4
Let g = 4 + 15. Let a = g - 15. Factor -1/4*u**2 + 1/4*u**a + 0*u + 0 + 0*u**3.
u**2*(u - 1)*(u + 1)/4
Let f(m) be the first derivative of m**6/2 + 9*m**5/5 - 10. Let f(h) = 0. Calculate h.
-3, 0
Let b = -1 + -5. Let k be (b/(-9))/((-2)/(-9)). Let -2*a**3 + a**4 - k*a**4 + 2*a + 36*a**2 - 34*a**2 = 0. What is a?
-1, 0, 1
Let y(n) be the third derivative of -n**7/210 + n**5/60 - 12*n**2. Factor y(q).
-q**2*(q - 1)*(q + 1)
Let l(f) = -f**2 + 2*f - 3. Let o be l(3). Let h be 2 + 10/o + 0. Factor 1/3*y**2 + h*y + 0.
y*(y + 1)/3
Let u(m) = m**3 - 6*m**2 + 10*m - 7. Let z be u(7). Let l be z/12 + 0 + -4. Factor 2/3*n**3 + 4/3*n**2 + 10/3*n**5 + 0 - l*n**4 + 0*n.
2*n**2*(n - 1)**2*(5*n + 2)/3
Let n(p) be the third derivative of -p**5/4 - 3*p**4/8 + p**3 - 4*p**2. Factor n(r).
-3*(r + 1)*(5*r - 2)
Let o(x) = -4*x**4 + 7*x**3 + 6*x**2 + 5*x - 5. Let f(m) = -m**4 - m**2 - 1. Let u(g) = -20*f(g) + 4*o(g). Factor u(k).
4*k*(k + 1)**2*(k + 5)
Let y(i) be the third derivative of i**6/30 + 2*i**5/15 + i**4/6 + 14*i**2. What is v in y(v) = 0?
-1, 0
Determine b so that -13/4*b**2 - 11/4*b - 5/4*b**3 - 3/4 = 0.
-1, -3/5
Let n(q) be the second derivative of -5*q**4/12 - 5*q**3/6 + 5*q**2 + 39*q. Solve n(p) = 0.
-2, 1
Let g(n) = -n - 2. Let k be g(-2). Let t be (-26)/(-42) + (-1)/3. Factor -2/7*l**4 + t*l**2 + 2/7*l - 2/7*l**3 + k.
-2*l*(l - 1)*(l + 1)**2/7
Let i(n) be the third derivative of -n**7/3360 + n**6/1440 - n**3 - n**2. Let a(v) be the first derivative of i(v). Factor a(x).
-x**2*(x - 1)/4
Let y(m) be the second derivative of m**5/50 - m**4/30 - 2*m. Suppose y(r) = 0. What is r?
0, 1
Let d(q) be the first derivative of q**7/14 - q**6/8 - 9*q**5/80 + 5*q**4/16 - q**3/8 - q + 6. Let k(h) be the first derivative of d(h). What is x in k(x) = 0?
-1, 0, 1/4, 1
Let b(z) = z**2 + 8*z + 10. Let t be -4 + (-4 - -1) - 0. Let o be b(t). Determine w, given that -2 + 48*w**o + 16*w**2 - 4*w**2 + 2 - 75*w**5 + 15*w**4 = 0.
-2/5, 0, 1
Suppose -17*w = -23*w + 12*w. Let 0 + 3/2*o**3 - 3/4*o + w*o**2 + 0*o**4 - 3/4*o**5 = 0. Calculate o.
-1, 0, 1
Suppose d + 3*z = z + 33, -2*d = -5*z - 30. Suppose -d = -5*a - 5*t, 3*a - 5*t = -0 - 9. Suppose -h - 2*h**2 - a*h**4 + h + 4*h**3 = 0. Calculate h.
0, 1
Let -2*r**4 + 14*r**3 - 4*r + 3*r**4 - 10*r**3 + r**2 - 2*r**4 = 0. Calculate r.
-1, 0, 1, 4
Suppose -14*p + 15*p - 4 = 0. Factor -2*y + 0 + p*y**2 - 3/2*y**3.
-y*(y - 2)*(3*y - 2)/2
Factor 4*d**3 - 3*d**4 - 12*d - 18*d**2 - 9*d**3 - 3 - 7*d**3.
-3*(d + 1)**4
Suppose 0 = -2*h + 2*i - 4, 0 = 3*h - 4*i + 2. Let s = -4 - h. Suppose -2*r**2 + 0*r**2 + 4*r**s = 0. Calculate r.
0
Let m(h) be the second derivative of h**5/40 + h**4/8 + h**3/6 + 2*h. Suppose m(g) = 0. What is g?
-2, -1, 0
Let z = 604/897 + -2/299. Let c(k) be the first derivative of k**3 - z*k - 7/6*k**2 + 1. Factor c(r).
(r - 1)*(9*r + 2)/3
Factor 2/7 + 0*i - 2/7*i**2.
-2*(i - 1)*(i + 1)/7
Suppose 0 = 11*o + 12*o - 5*o. Factor 1/5*b**2 + 0*b + 1/5*b**3 + o - 2/5*b**4.
-b**2*(b - 1)*(2*b + 1)/5
Let f(w) = 23*w**5 + 15*w**4 - 7*w**3 - 15*w**2 + 8*w - 8. Let b(x) = -15*x**5 - 10*x**4 + 5*x**3 + 10*x**2 - 5*x + 5. Let p(i) = 8*b(i) + 5*f(i). Factor p(u).
-5*u**2*(u - 1)*(u + 1)**2
Let z be 2 - ((-25)/(-10) - 9/2). Factor 0 + 1/3*s - 1/3*s**2 - 1/3*s**3 + 1/3*s**z.
s*(s - 1)**2*(s + 1)/3
Let p be -2*11/(-7) + -2. Factor 3/7*x**3 + 2/7 + x + p*x**2.
(x + 1)**2*(3*x + 2)/7
Let v(n) be the third derivative of n**6/360 - n**5/60 - n**4/8 - 5*n**3/18 - n**2. Factor v(y).
(y - 5)*(y + 1)**2/3
Let n(u) be the third derivative of -u**7/1470 - u**6/840 + u**5/210 + 5*u**2. Suppose n(a) = 0. What is a?
-2, 0, 1
Factor 18/19 + 48/19*y + 16/19*y**3 + 2/19*y**4 + 44/19*y**2.
2*(y + 1)**2*(y + 3)**2/19
Let z(b) = -b**3 + 3*b**2 + 3. Let y be z(3). Suppose -3*u - 4*p = 20, -5*u + 5*p + y = -22. Factor 0*s**2 - 2/5*s + 4/5*s**3 - 2/5*s**5 + u*s**4 + 0.
-2*s*(s - 1)**2*(s + 1)**2/5
Let y(d) = d**4 + d**3 + 3*d**2 + 3. Let h(p) = p**2 + 8*p + 8. Let o be h(-7). Let u(m) = -m**3 - m**2 - 1. Let s(n) = o*y(n) + 3*u(n). Factor s(c).
c**3*(c - 2)
Let f be 0 + -3 + -1 + 29. Let y be -3 + 60/f + 1. Let -2/5*x**2 + y + 2/5*x - 2/5*x**3 = 0. Calculate x.
-1, 1
Let y(i) be the second derivative of -i**8/168 + i**7/35 - i**6/20 + i**5/30 - i**2/2 + 2*i. Let g(l) be the first derivative of y(l). Let g(p) = 0. What is p?
0, 1
Solve 0*t**2 - 3/4 - 3/2*t**3 + 3/2*