 Calculate o.
2
Let s(y) be the third derivative of -y**5/150 + y**4/20 - 2*y**3/15 + 12*y**2. Factor s(t).
-2*(t - 2)*(t - 1)/5
Factor -4 + 26*n**2 - 38*n**2 - 2*n + 14*n + 4*n**3 + 0*n**3.
4*(n - 1)**3
Let z(i) = 2*i**3 - i**2 - 2*i - 1. Let r(q) = -q**3 - q**2 + q - 1. Let w(v) = -r(v) + z(v). Factor w(f).
3*f*(f - 1)*(f + 1)
Factor 4 - 4 - 8*s**2 + 5*s**2.
-3*s**2
Suppose 8 = -26*j + 27*j. Suppose -8 = 4*n - 7*n - 4*l, 4*l = 4*n + j. Factor 2/9*v**2 + n - 2/9*v.
2*v*(v - 1)/9
Factor 2/7*v**4 - 2/7*v + 2/7*v**3 - 2/7*v**2 + 0.
2*v*(v - 1)*(v + 1)**2/7
Let y be 0 - -5 - (3 - 2). Suppose 2 = -r + s - 0, -r + y*s = 17. Factor i**5 + 3*i**4 + r*i**3 + i**2 + 1 - 1.
i**2*(i + 1)**3
Let x = -186 - -2237/12. Let d(v) be the first derivative of 4 - 4/15*v**5 + 0*v**2 - x*v**4 - 2/9*v**3 - 1/18*v**6 + 0*v. Factor d(k).
-k**2*(k + 1)**2*(k + 2)/3
Factor 0 - 3/4*a**4 - 3/4*a**3 + 3/4*a + 3/4*a**2.
-3*a*(a - 1)*(a + 1)**2/4
Factor 2/3*r**2 + 0 - 4/3*r.
2*r*(r - 2)/3
Let u(x) = -1 - 5 - 16*x - 2*x**2 - 2 + 0*x**2. Let f(d) = -d + 3*d - d + 0*d. Let m(z) = 8*f(z) + u(z). Factor m(s).
-2*(s + 2)**2
Let q(z) be the first derivative of 1 + 1/2*z**4 + 0*z + 4/9*z**3 + 0*z**2. Factor q(c).
2*c**2*(3*c + 2)/3
Let l be 4 + -4 + 1*4. Factor -5*g + g**2 - g**4 + g + l*g.
-g**2*(g - 1)*(g + 1)
Let q be ((-132)/(-15))/2 - 4. Suppose -4/5 + 6/5*t - q*t**2 = 0. What is t?
1, 2
Let l(n) be the third derivative of -n**8/112 + n**7/70 + n**6/20 - 6*n**2. Suppose l(v) = 0. What is v?
-1, 0, 2
Suppose -4*j + 3 = -2*s - 1, -s - 2 = j. Suppose m - 8*m = j. Factor 1/2*t**2 + m - t.
t*(t - 2)/2
Let j be 8/(-12) + -6*(-4)/9. Let k(o) be the first derivative of -1/6*o**2 + j + 0*o**3 + 1/12*o**4 + 0*o. What is p in k(p) = 0?
-1, 0, 1
Let j(r) be the third derivative of r**7/1050 - r**6/600 - 6*r**2. Factor j(d).
d**3*(d - 1)/5
Let v(i) be the third derivative of -i**9/15120 + i**8/3360 + 5*i**4/24 - 5*i**2. Let l(n) be the second derivative of v(n). Determine b so that l(b) = 0.
0, 2
Let r(n) be the third derivative of -n**9/211680 + n**8/17640 - n**7/4410 - n**5/30 + n**2. Let z(q) be the third derivative of r(q). Factor z(v).
-2*v*(v - 2)**2/7
Suppose -6 + 7 = y. Suppose -y - 3 = -2*i. Factor 0*m + 0 - 1/3*m**i - 1/3*m**3.
-m**2*(m + 1)/3
Let n = 10 + -22. Let s = 46/3 + n. Determine l so that -s*l**4 - 20/3*l**3 - 20/3*l**2 - 10/3*l - 2/3 - 2/3*l**5 = 0.
-1
Let s(u) be the first derivative of -u**4 + 4*u**3 - 6*u**2 + 4*u + 4. Factor s(g).
-4*(g - 1)**3
Factor 1/3 - 1/3*u**3 - u + u**2.
-(u - 1)**3/3
Let b(t) be the second derivative of -t**7/15 - 22*t**6/75 - 12*t**5/25 - t**4/3 - t**3/15 + 6*t. Factor b(h).
-2*h*(h + 1)**3*(7*h + 1)/5
Determine m so that -3 - 3/5*m**2 - 18/5*m = 0.
-5, -1
Let x = -51 - -154/3. Let u(m) be the third derivative of 1/120*m**6 - x*m**3 + 0 + 0*m + 1/30*m**5 - 1/24*m**4 + 2*m**2. Factor u(n).
(n - 1)*(n + 1)*(n + 2)
Let d(i) = i**3 + 8*i**2 + 8*i + 3. Let j be d(-7). Let k = j + 6. Factor -1/3*t**k + 4/3*t - 4/3.
-(t - 2)**2/3
Let a(t) = -3*t**4 - 6*t**3 + 15*t**2 - 6*t - 6. Let j(p) = -p**3 + p + 1. Let x(c) = -a(c) - 6*j(c). What is k in x(k) = 0?
-5, 0, 1
Let m(z) be the third derivative of 0*z**3 - 1/60*z**4 - 1/600*z**6 - z**2 - 1/210*z**7 + 0 + 1/60*z**5 + 0*z + 1/560*z**8. Suppose m(a) = 0. Calculate a.
-1, 0, 2/3, 1
Suppose 2*h + 5*j + 29 = 3*h, 7 = 3*h + j. What is w in -18*w - 14*w + 87 - h - 19 + 4*w**2 = 0?
4
Find n, given that 0 - 2/13*n + 2/13*n**2 = 0.
0, 1
Let i(v) be the first derivative of -4*v**3/3 - 2*v**2 - 24. Factor i(g).
-4*g*(g + 1)
Let q be (-12)/4 - -2 - -3. Let v(f) be the first derivative of 1/3*f**2 + 2/9*f**3 + q + 0*f. Factor v(u).
2*u*(u + 1)/3
Let h(p) = -2*p**2 + 8*p + 2. Let m be h(4). Let j(r) be the first derivative of 1/6*r**4 + 0*r + 4/9*r**m + 3 - 16/27*r**3. Factor j(g).
2*g*(g - 2)*(3*g - 2)/9
Let m(k) = 3*k**2 - 12*k + 8. Suppose -4*g + 5*d - 41 = -0*d, -6 = 4*g + 2*d. Let h(r) = 1. Let u(s) = g*h(s) - m(s). Factor u(c).
-3*(c - 2)**2
Let a(v) be the second derivative of -v**5/20 - v**4/12 + v**3/3 - 29*v. Factor a(o).
-o*(o - 1)*(o + 2)
Let g(r) = -1 - 3 - 2 - r + 3. Let a be g(-5). Find p, given that 3*p**2 - 2*p**5 - a*p**2 + 2*p + 4*p**4 - 5*p**2 = 0.
-1, 0, 1
Let h(k) = 77*k**3 + 163*k**2 + 152*k + 30. Let t(f) = 26*f**3 + 54*f**2 + 51*f + 10. Let v(b) = -6*h(b) + 17*t(b). Factor v(m).
-5*(m + 2)*(2*m + 1)**2
Let -25*v**5 - 45*v**3 - 24*v**3 + 25*v**4 - 28*v**2 - 4*v - 95*v**4 = 0. What is v?
-1, -2/5, 0
Find p such that 1/3 + 1/3*p**3 + p**2 + p = 0.
-1
Suppose 2 = 3*g - 1. Let w be g/(4 - 1 - -2). Solve -3/5*y**3 + 0*y + 0 + 3/5*y**4 - 1/5*y**5 + w*y**2 = 0 for y.
0, 1
Find m such that -1/6*m**3 + 1/6*m - 1/6*m**2 + 1/6*m**4 + 0 = 0.
-1, 0, 1
Let n(w) be the first derivative of -2*w**2 + 2/3*w**3 - 3 + 0*w. Find y, given that n(y) = 0.
0, 2
Solve 4/5*s**4 + 0 + 0*s + 0*s**2 + 2*s**5 + 0*s**3 = 0.
-2/5, 0
Let k = 329/5 + -65. Factor -k + 2/5*x**2 + 2/5*x.
2*(x - 1)*(x + 2)/5
Let n be (-3 - 0) + (-15)/(-3). Determine d so that 2*d - 16*d**2 + 18*d**n + 2*d = 0.
-2, 0
Let a = -16 + 9. Let v = a - -7. Factor 0*u + 1/3*u**5 + 0*u**2 + 0*u**4 + v*u**3 + 0.
u**5/3
Let t(q) = -q**3 + q - 1. Let h(z) = -6*z**3 + 2*z - 2. Let a(s) = h(s) - 2*t(s). What is i in a(i) = 0?
0
Let j(t) = 2*t**4 - 6*t**3 + 10*t**2 - 6*t - 4. Let s(g) = -2*g**4 + 6*g**3 - 9*g**2 + 5*g + 3. Let r(i) = -3*j(i) - 4*s(i). Let r(v) = 0. What is v?
0, 1
Let d(t) = 3*t**4 - 20*t**3 + 22*t**2 - 21*t + 1. Let b(v) = 6*v**4 - 39*v**3 + 45*v**2 - 42*v + 3. Let p(l) = -5*b(l) + 9*d(l). Let p(w) = 0. What is w?
1, 2
Determine j, given that -4*j**2 - j**2 + j**3 - 3*j + j**4 + 6*j = 0.
-3, 0, 1
Determine o so that -2/7*o**3 - 4/7 + 6/7*o + 0*o**2 = 0.
-2, 1
Let j(p) = -p + 4. Let o be j(4). Let c = 3 + o. Find z such that -3*z**3 + z**2 - 5*z**2 + 2*z**2 + 5*z**c = 0.
0, 1
Let h(m) = m**3 - 6*m**2 + m**2 - 18 - 6*m + 18. Let b be h(6). Let 0 + 1/4*d**3 + b*d + 0*d**2 - 1/4*d**4 = 0. Calculate d.
0, 1
Let t(c) be the first derivative of 9*c**5/80 - c**4/4 + c**3/8 + c + 4. Let u(y) be the first derivative of t(y). Let u(f) = 0. Calculate f.
0, 1/3, 1
Let k(q) be the third derivative of q**5/20 + 5*q**4/8 + 2*q**3 + 8*q**2. Determine o, given that k(o) = 0.
-4, -1
Find x, given that 18*x**2 + 0 + 12*x**3 - 6 + 10 - 1 + 3*x**4 + 12*x = 0.
-1
Let v(q) be the second derivative of -q + 0 - 1/10*q**6 + 0*q**2 + 0*q**3 + 0*q**5 + 1/4*q**4. Solve v(u) = 0.
-1, 0, 1
Suppose 3*y + 1 = 13. Let s(i) be the first derivative of 1 - 3/5*i**5 + 0*i - 1/4*i**y + 0*i**2 + 2/3*i**3. Find a such that s(a) = 0.
-1, 0, 2/3
Let y(h) be the third derivative of -h**5/210 - h**4/42 + 8*h**3/21 + 47*h**2. Factor y(o).
-2*(o - 2)*(o + 4)/7
Let d(o) = 21*o**3 - 20*o**2 + 21*o - 11. Let u(n) = -11*n**3 + 10*n**2 - 11*n + 6. Let j(g) = -6*d(g) - 11*u(g). Factor j(a).
-5*a*(a - 1)**2
Let b be ((-80)/(-132))/(12/62). Let p = b + -32/11. Factor p*c**2 + 2/9 - 4/9*c.
2*(c - 1)**2/9
Let d(h) be the third derivative of 0*h - 1/70*h**7 + 1/112*h**8 + 1/10*h**5 - 1/2*h**3 + 1/8*h**4 + 0 + h**2 - 1/20*h**6. Factor d(t).
3*(t - 1)**3*(t + 1)**2
Let y(m) be the first derivative of -2*m**5/35 + m**4/14 + 2*m**3/7 - m**2/7 - 4*m/7 + 7. Solve y(n) = 0 for n.
-1, 1, 2
Let g(i) = 7*i**4 - 6*i**3 - 8*i**2 + 1. Let j(u) = 20*u**4 - 17*u**3 - 23*u**2 + 3. Let t(o) = 17*g(o) - 6*j(o). Factor t(y).
-(y - 1)**2*(y + 1)**2
Let q be (-2 - (-24)/9)*(-9)/(-12). Let -1/2*x**2 + 0*x + q = 0. Calculate x.
-1, 1
Factor 0*v + 2/7*v**2 - 2/7*v**5 + 0 + 2/7*v**3 - 2/7*v**4.
-2*v**2*(v - 1)*(v + 1)**2/7
Let k(t) = 6*t - t**3 + 11 + 7 - 11 - 6*t**2 + 2*t. Let o be k(-7). Solve o*a**3 + 0*a - 1/4 - 1/4*a**4 + 1/2*a**2 = 0 for a.
-1, 1
Suppose -5*a + 0*t + 2*t + 203 = 0, 3*a - 122 = t. Let m = 85/2 - a. What is s in m*s**3 + 1/4*s**2 - 1/2*s + 0 = 0?
-2/3, 0, 1/2
Let c(h) be the third derivative of h**6/240 + h**5/40 + h**4/16 - h**3/2 - 2*h**2. Let r(q) be the first derivative of c(q). Let r(z) = 0. Calculate z.
-1
Let x(i) be the first derivative of i**5/5 - 2*i**3 + 4*i**2 - 3*i + 19. Factor x(y).
(y - 1)**3*(y + 3)
Let h be 14/3 + 4/(-6). Factor -6*f**2 + 2 - h - f**3 + 19*f**3 - 10*f.
2*(f - 1)*(3*f + 1)**2
Let o = -8 + 15. Suppose 0 = -5*p + 27 - o. Suppose 1/2*y**p + 0*y + 0*y**3 + 0 - 1/2*y**2 = 