178/11 - 16. Factor 2/11*j**3 - t*j**5 + 0*j**4 + 0 + 0*j**2 + 0*j.
-2*j**3*(j - 1)*(j + 1)/11
Let b(p) be the third derivative of p**7/105 - p**5/30 - 7*p**2. Solve b(v) = 0.
-1, 0, 1
Let s(o) = -o**2 - 8*o. Let y(z) = z**2 + 9*z - 1. Let a(m) = 5*s(m) + 4*y(m). Factor a(u).
-(u + 2)**2
Suppose -22 + 6 = -4*f. Suppose 4*y**2 - 19*y**3 + 16*y**f + 13*y**3 - 6*y**5 - 8*y**3 = 0. Calculate y.
0, 2/3, 1
Let x(w) be the second derivative of -w**4/3 - 8*w. Factor x(s).
-4*s**2
Let d = -36 - -36. Factor 0 - 1/3*j**4 + 0*j + 1/3*j**2 + d*j**3.
-j**2*(j - 1)*(j + 1)/3
Let j(k) be the third derivative of k**5/180 + k**4/24 + k**3/9 + 13*k**2. Factor j(o).
(o + 1)*(o + 2)/3
Let y(j) be the second derivative of -3*j**5/40 - 3*j**4/8 - j**3/2 + j. Solve y(c) = 0.
-2, -1, 0
Let q(l) = -8*l + 1 + 2 + 5*l**2 + 1. Let w(f) be the third derivative of f**5/10 - 3*f**4/8 + 2*f**3/3 + 5*f**2. Let i(p) = 5*q(p) - 4*w(p). Factor i(z).
(z - 2)**2
Let 3/5 - 2/5*k - 1/5*k**2 = 0. Calculate k.
-3, 1
Let w(p) be the second derivative of -p**8/33600 + p**7/12600 - p**4/12 - 6*p. Let d(x) be the third derivative of w(x). Factor d(i).
-i**2*(i - 1)/5
Let c be 1*(2 + -4 - -2). Factor -2/3*f**2 - 2/3*f + c.
-2*f*(f + 1)/3
Factor -18/5*p**2 + 14/5*p**3 + 0 + 4/5*p.
2*p*(p - 1)*(7*p - 2)/5
Let x(w) be the first derivative of -1/2*w**4 - 1/3*w**6 + 0*w + 0*w**2 - 4/5*w**5 + 0*w**3 + 5. Let x(d) = 0. What is d?
-1, 0
Suppose 4*z - 2*z = 10. Factor 0 - 1/2*h**3 + 0*h**2 + 2*h**4 - 3/2*h**z + 0*h.
-h**3*(h - 1)*(3*h - 1)/2
Suppose -m + 3*m + 20 = -4*l, -2*l = -4*m - 60. Let t be 2/(-4) - 19/m. Solve t*u**2 + 8/7*u + 2/7 = 0.
-1, -1/3
Let v be 0/(2/(1 + 1)). Suppose v = m - 3*m. Suppose 2*w**3 - 2*w + 2 - 4 + 2*w**2 + m*w**3 = 0. Calculate w.
-1, 1
Let m(s) be the third derivative of -s**5/360 - s**4/144 - 7*s**2. Factor m(j).
-j*(j + 1)/6
Let z(o) be the first derivative of -o**3 + 15*o**2/2 - 12*o - 10. Find c, given that z(c) = 0.
1, 4
Let t(o) be the first derivative of o**7/14 - 3*o**5/20 + 3*o - 3. Let u(n) be the first derivative of t(n). Let u(b) = 0. Calculate b.
-1, 0, 1
Let n(b) be the second derivative of -b**5/25 + b**4/5 - 2*b**3/5 + 2*b**2/5 + 11*b. Factor n(t).
-4*(t - 1)**3/5
Let b(r) be the first derivative of -5*r**4/4 - 5*r**3/3 + 5*r**2/2 + 5*r - 17. Determine x, given that b(x) = 0.
-1, 1
Let v(x) be the first derivative of -2*x**3/9 - x**2/3 + 4*x/3 + 8. Determine b, given that v(b) = 0.
-2, 1
Factor -2/3*m - 4*m**3 - 8/3*m**2 + 0 - 2/3*m**5 - 8/3*m**4.
-2*m*(m + 1)**4/3
Let z = -3/184 - -9/23. Solve 1/2*o + 0*o**2 + 0 + 1/8*o**4 - z*o**3 = 0.
-1, 0, 2
Let v = -8 + 1. Let o = v + 10. Factor 0*m**3 + 2*m**4 - 5*m**3 + m**o + 2*m**2.
2*m**2*(m - 1)**2
Let g(r) = r + 4. Let q be g(0). Suppose 4*y = 3*n + 14, 5*y + q*n = -0*n + 2. Let 6 - p**y - 6 - p = 0. Calculate p.
-1, 0
Let c = 11 + -7. Factor -5*p**4 - c*p**2 + 6*p**4 + 3*p**2.
p**2*(p - 1)*(p + 1)
Let p(a) be the third derivative of -2*a**2 + 1/210*a**7 + 1/6*a**3 - 1/6*a**4 + 0 + 0*a + 1/10*a**5 - 1/30*a**6. Determine y so that p(y) = 0.
1
Let i be 2 - (3 + 1 + 0). Let k be (-2)/4*i/4. Factor -k*l**4 + 3/4*l**3 - 3/4*l - 1/4*l**2 + 1/2.
-(l - 2)*(l - 1)**2*(l + 1)/4
Let i(m) be the second derivative of -m**4/30 - m**3/15 + 2*m**2/5 + 5*m. Solve i(r) = 0.
-2, 1
Let p be 0 + 3 + 1 + -2. Factor c**2 - 6*c + p*c**2 + c + 2*c.
3*c*(c - 1)
Determine i, given that 0*i**4 + 8*i**3 + 5*i**2 - i**4 + 6*i**4 - i**2 + i**5 = 0.
-2, -1, 0
Let -1/2*t + 5/4*t**3 + 0 + 1/4*t**2 - 1/4*t**4 - 3/4*t**5 = 0. Calculate t.
-1, 0, 2/3, 1
Let v(g) be the first derivative of 3*g**5/10 - g**3 + 3*g/2 - 7. Factor v(a).
3*(a - 1)**2*(a + 1)**2/2
Let w(j) be the first derivative of -j**3/9 - j**2/2 - 24. Solve w(d) = 0.
-3, 0
Let m(r) be the third derivative of -7*r**5/20 + 33*r**4/8 + 5*r**3 - 10*r**2. What is b in m(b) = 0?
-2/7, 5
Suppose -2*l + 1 = l - 2*r, r = l. Let k(z) be the first derivative of -1/2*z**4 - 1/5*z**5 + z**3 - 4*z + 2*z**2 + l. Suppose k(i) = 0. What is i?
-2, 1
Let b be -4*(14/(-4) + 3). Find c such that c**3 + c**2 - 4*c**b + 2*c**2 = 0.
0, 1
Let t be ((-40)/(-50))/(2/5). Suppose 2*p = p + t. What is i in 4/5*i - 1/5*i**p - 4/5 = 0?
2
Let s(k) be the third derivative of 2*k**7/735 - k**6/105 + k**4/21 - 2*k**3/21 + 5*k**2. Find w such that s(w) = 0.
-1, 1
What is s in -s + 0 - 1/3*s**2 = 0?
-3, 0
Let z = -4679/60 + 78. Let c(p) be the third derivative of 0*p - 1/15*p**5 - 4*p**2 + z*p**6 + 1/12*p**4 + 0*p**3 + 0. Factor c(b).
2*b*(b - 1)**2
Let h(o) be the third derivative of o**7/630 + o**6/1080 - o**3/3 - o**2. Let c(z) be the first derivative of h(z). Factor c(q).
q**2*(4*q + 1)/3
Let t(f) be the second derivative of 7/15*f**6 + 2/9*f**4 - 1/7*f**7 - 2*f + 0 + 0*f**2 + 0*f**3 - 8/15*f**5. Factor t(m).
-2*m**2*(m - 1)*(3*m - 2)**2/3
Determine z so that 51*z - 48*z**3 - 72*z**2 - 7*z - 6 + z = 0.
-2, 1/4
Let z = 4 + 0. Factor -b**5 - 2*b**5 - 2*b**4 - b**z.
-3*b**4*(b + 1)
Suppose m = -q - 5, 15 = 5*q + 3*m - 6*m. Let i be (q - (-3 + -3)) + -3. Find y such that -4/7*y**4 + 0 - 2/7*y + 0*y**i + 4/7*y**2 + 2/7*y**5 = 0.
-1, 0, 1
Let i(z) = -z + 11. Let r be i(9). Let g be 6/2 + 14/(-6). Factor -g - 4/3*c - 2/3*c**r.
-2*(c + 1)**2/3
Factor -3/2*l**3 + 11*l**2 - 16 - 16*l.
-(l - 4)**2*(3*l + 2)/2
Factor 28*c**2 - 6*c - 65*c**2 + 16*c**2.
-3*c*(7*c + 2)
Let s(c) be the third derivative of -7*c**5/12 - 5*c**4/24 - 2*c**2. What is q in s(q) = 0?
-1/7, 0
Suppose 2*u - 3*c = 7*u + 2, c + 14 = 5*u. Let k(i) be the third derivative of 1/180*i**5 + 0*i**3 - 1/72*i**4 - u*i**2 + 0 + 0*i. Find y such that k(y) = 0.
0, 1
Factor 0 + 0*m + 0*m**2 + 3/5*m**3.
3*m**3/5
Suppose 1 = -2*w + 3*b - 20, -43 = 4*w - 5*b. Let k be -4 - -1 - 56/w. Factor -22/3*q**3 - k*q**5 - 6*q**4 + q + 2/3 - 8/3*q**2.
-(q + 1)**4*(5*q - 2)/3
Let y(b) be the third derivative of -b**6/80 + b**5/40 + b**4/16 - b**3/4 - 11*b**2. Factor y(f).
-3*(f - 1)**2*(f + 1)/2
Let o(m) be the first derivative of 5*m**6/36 - 2*m**5/15 - m**4/24 + 3. Factor o(c).
c**3*(c - 1)*(5*c + 1)/6
Let p(z) = -z**2 - 11*z + 3. Let s be p(-5). Let g be (-2)/11 - (-17)/s. Factor 0*k**2 + 0*k + 1/3*k**3 + 0 + g*k**4.
k**3*(k + 1)/3
Let 10*a**5 + 0*a - 8/3*a**2 + 0 - 8*a**3 + 2/3*a**4 = 0. What is a?
-2/3, -2/5, 0, 1
Let o(c) = -c**2 - 6*c + 5. Let t be o(-6). Solve -10*a**2 + t*a**2 - 21*a**3 - 4*a**2 + 3*a**2 = 0.
-2/7, 0
Let s(v) = -2*v - 3 + 3 - 2. Let i be s(-5). Solve 6*f**2 + i*f**2 + 2 - 9*f - 7*f**2 = 0 for f.
2/7, 1
Let x(y) be the first derivative of -3*y**8/1120 - y**7/280 + y**6/240 + 4*y**3/3 - 2. Let o(u) be the third derivative of x(u). Factor o(k).
-3*k**2*(k + 1)*(3*k - 1)/2
Let z = -2293/4 + 20537/20. Let s = -452 + z. Factor 12/5*y**2 + 2/5 + 2/5*y**4 + s*y**3 + 8/5*y.
2*(y + 1)**4/5
Let m(d) be the second derivative of -d**5/25 - d**4/10 + d**3/5 + 2*d**2/5 - 9*d. Suppose m(f) = 0. What is f?
-2, -1/2, 1
Let r(i) = 4*i**2 - 8*i + 10. Let n(w) = w**2 + 1. Let q(v) = -3*n(v) + r(v). Solve q(x) = 0.
1, 7
Factor -5*d**2 + 12*d**3 - 4*d**4 - 3*d**2 + 0*d**3.
-4*d**2*(d - 2)*(d - 1)
Factor 9/2*l + 3/2*l**2 + 0.
3*l*(l + 3)/2
Solve 44/3*g**3 + 16*g**2 - 28/3*g**5 - 16*g**4 - 16/3*g + 0 = 0.
-2, -1, 0, 2/7, 1
Let i = 65 + -63. Let y(n) be the first derivative of -6/5*n**5 + i*n - 2 + 0*n**2 - 4*n**3 - 4*n**4. Solve y(v) = 0.
-1, 1/3
Let a(q) be the third derivative of -q**8/5040 + q**7/315 - q**6/60 + 3*q**5/20 + 3*q**2. Let m(h) be the third derivative of a(h). Let m(v) = 0. What is v?
1, 3
Let y(o) = o**2 + o - 2. Suppose -4*v + 3*v = -7. Let g(p) = -2*p**2 - 4*p + 6. Let b(q) = v*y(q) + 2*g(q). What is f in b(f) = 0?
-2/3, 1
Let u(q) be the third derivative of -q**5/140 + q**4/14 - 3*q**3/14 + 13*q**2. Factor u(o).
-3*(o - 3)*(o - 1)/7
Determine m so that 22/3*m - 4 + 2/3*m**3 - 4*m**2 = 0.
1, 2, 3
Let x(a) = -a**3 - 2*a + 2. Let k be x(0). Factor 1 - 5/2*t**3 - 7/2*t + 1/2*t**4 + 9/2*t**k.
(t - 2)*(t - 1)**3/2
Let o(h) be the third derivative of h**2 + 1/1008*h**8 + 0*h**4 + 0*h**6 + 0*h**3 + 0*h + 0 + 1/210*h**7 - 1/45*h**5. Solve o(l) = 0 for l.
-2, 0, 1
Let p(i) = -6*i**3 + 4*i**2 + i + 1. Let n(z) = z**3 - z**2 - z + 1. Let f(w) = n(w) - p(w). Factor f(s).
s*(s - 1)*(7*s + 2)
Factor 2/3*m + 0*m**2 - 2/9*m**3 + 4/9.
-2*(m - 2)*(m + 1)**2/9
Let w(x) be the t