+ 2/3 + 4/3*a.
2*(a + 1)**2/3
Let i(l) be the first derivative of 1/6*l**6 - 2/3*l**4 - 2*l**3 - 11/6*l**2 - 2/3*l + 4 + 4/15*l**5. Solve i(n) = 0.
-1, -1/3, 2
Let t(a) be the second derivative of 3*a**5/100 - a**4/20 - 2*a**3/5 + 6*a**2/5 - 4*a. Suppose t(c) = 0. Calculate c.
-2, 1, 2
Let h be -1 - (23/6 + -4). Let p = 4/3 + h. Factor 0*z + 0 - p*z**2.
-z**2/2
Let s(i) = i**3 - 17*i**2 + 21*i - 68. Let r be s(16). Factor -r*k - 9/2*k**2 - 6.
-3*(k + 2)*(3*k + 2)/2
Let l(o) = 6*o**2 + 8*o. Let d(w) = w**2 + w. Suppose -2*p - 5*y - 12 = 2*p, 0 = -3*p + 4*y + 22. Let u(v) = p*l(v) - 14*d(v). Factor u(h).
-2*h*(h - 1)
Let t(x) = x**3 + 53*x**2 - 192*x + 251. Suppose 0 = -4*a + 7*a - 9. Let l(q) = -q**3 - 27*q**2 + 96*q - 125. Let z(f) = a*t(f) + 5*l(f). Solve z(n) = 0.
4
Solve -1 - 7*f**3 - 2*f + 9*f**2 - 10*f**4 + 2*f**4 + 9*f**3 = 0 for f.
-1, -1/4, 1/2, 1
Let l be (-112)/30 - (4 + -8). Let u(r) be the second derivative of 0*r**3 - 3/10*r**5 + 1/6*r**4 - 2*r - l*r**6 + 0 + 0*r**2. Factor u(m).
-2*m**2*(m + 1)*(4*m - 1)
Let z(y) = -45*y**2 - 170*y - 55. Let h(l) = 5*l**2 + 19*l + 6. Let m(u) = 55*h(u) + 6*z(u). Suppose m(d) = 0. What is d?
-5, 0
Let 4*i**2 + 2*i + 2*i**4 - 2*i**3 - 7*i**4 + 3*i**4 - 2*i**2 = 0. Calculate i.
-1, 0, 1
Suppose -2 + 37*s**4 - 1 + 6*s**2 - 40*s**4 = 0. Calculate s.
-1, 1
Let z(f) be the second derivative of 0*f**2 + f + 1/24*f**4 - 1/6*f**3 + 1/20*f**5 + 0 - 1/60*f**6. Suppose z(m) = 0. Calculate m.
-1, 0, 1, 2
Let i(h) be the third derivative of -h**9/1512 + h**8/420 - h**6/90 + h**5/60 + h**3/2 + h**2. Let p(w) be the first derivative of i(w). Factor p(a).
-2*a*(a - 1)**3*(a + 1)
Let q(g) = -12*g**4 - 39*g**3 + 51*g**2 - 6*g + 6. Let z(y) = -24*y**4 - 77*y**3 + 103*y**2 - 13*y + 11. Let u(h) = 11*q(h) - 6*z(h). Factor u(n).
3*n*(n - 1)*(n + 4)*(4*n - 1)
Suppose 0*d + 2/5*d**3 + 0 - 2/5*d**4 + 2/5*d**2 - 2/5*d**5 = 0. What is d?
-1, 0, 1
Let p be 0 - ((-1)/(-6) + 24/(-36)). Let 1/4*t**2 + 0 - p*t = 0. What is t?
0, 2
Let v be 7/(-966) - 2/12. Let s = v - -31/46. Factor -s*w**5 + 0 + 0*w**2 + w**4 + 0*w - 1/2*w**3.
-w**3*(w - 1)**2/2
Let l(k) be the second derivative of k**5/90 + k**4/9 + k**3/3 + 8*k. Factor l(h).
2*h*(h + 3)**2/9
Let x be -5*((-9)/15 + 2/10). Factor 3/2*s - 1/4 - 3*s**x + 2*s**3.
(2*s - 1)**3/4
Let r(v) be the third derivative of v**7/17640 - v**6/1680 + v**5/420 + v**4/4 - 6*v**2. Let a(l) be the second derivative of r(l). Suppose a(k) = 0. What is k?
1, 2
Let z(b) be the third derivative of 0*b + 4/21*b**3 - 3*b**2 - 1/21*b**4 + 0 + 1/210*b**5. Factor z(m).
2*(m - 2)**2/7
Let p(l) be the first derivative of 0*l**5 - 1/12*l**6 - 1/4*l**2 + 0*l**3 - 2 + 0*l + 1/4*l**4. Let p(n) = 0. Calculate n.
-1, 0, 1
Let k be (-18)/(-8) + (0 - 2). Let w(c) be the second derivative of -1/10*c**6 + 4*c + 0*c**2 + 0 + 0*c**3 - k*c**4 - 3/10*c**5. Factor w(u).
-3*u**2*(u + 1)**2
Factor 16*o**2 - 15*o + 31*o - 8*o**4 + 4*o**5 - 5*o**3 - 7*o**3.
4*o*(o - 2)**2*(o + 1)**2
Suppose 0 = 5*w - 5*j - 30, 0 = 3*j - 7*j - 8. Find d such that -d + w*d**2 - 3*d**3 - d**4 - 7*d**2 + 2 - 2 = 0.
-1, 0
Find h, given that 2/15 + 2/15*h**2 + 4/15*h = 0.
-1
Suppose 4*v = 2*v + 10. Factor -d**3 + 7*d + 2*d**3 + 3*d**2 - v*d.
d*(d + 1)*(d + 2)
Let j(a) be the third derivative of 0 + 1/60*a**5 - 1/140*a**7 + 3*a**2 - 1/120*a**6 + 1/12*a**3 + 0*a - 1/672*a**8 + 1/16*a**4. Factor j(m).
-(m - 1)*(m + 1)**4/2
Factor -3/4*w + 0 - 3/4*w**2.
-3*w*(w + 1)/4
Let p(h) be the second derivative of -h**4/114 - h**3/57 + 2*h**2/19 + h - 28. What is x in p(x) = 0?
-2, 1
Let t be 2/10*3*5. Solve -2*a**3 + 6*a**2 + 10*a**3 - 4*a**3 - t*a**4 - 7*a**3 = 0 for a.
-2, 0, 1
Let c(i) = -i**2 - 7*i + 3. Let g be c(-7). Suppose -8 = -2*h + x, -g*h - 3*x - 10 = x. Factor 3*t**2 + 2*t**3 - 2 + 2*t**2 - 2*t - 3*t**h.
2*(t - 1)*(t + 1)**2
Let z = -265 - -268. Let 0*y**2 - 1/2*y**4 + 5*y**5 + 0 - y**z + 0*y = 0. What is y?
-2/5, 0, 1/2
Let r(h) be the third derivative of 0*h - 2/45*h**5 + 0 + 1/9*h**3 - 4*h**2 + 1/12*h**4. Factor r(v).
-2*(v - 1)*(4*v + 1)/3
Let x(b) be the first derivative of b**4/14 - 4*b**3/7 + 11*b**2/7 - 12*b/7 + 38. Factor x(p).
2*(p - 3)*(p - 2)*(p - 1)/7
Let q(u) = u**2 + 6*u. Let s be q(-6). Let p be (s/(-8))/((-1)/(-1)). Suppose 2/7*t + 2/7*t**4 + p + 6/7*t**3 + 6/7*t**2 = 0. What is t?
-1, 0
Let j(t) = -58*t**2 + 26*t - 4. Let a(o) = -59*o**2 + 25*o - 4. Let l(h) = -4*a(h) + 5*j(h). Determine w so that l(w) = 0.
2/9, 1/3
Let g(j) be the second derivative of -1/21*j**3 + 0*j**2 - 1/105*j**6 - j + 1/70*j**5 + 1/42*j**4 + 0. Factor g(u).
-2*u*(u - 1)**2*(u + 1)/7
Let k(r) be the third derivative of 4*r**2 + 1/20*r**5 + 0*r + 0*r**3 + 1/24*r**4 + 1/210*r**7 + 1/40*r**6 + 0. Find x, given that k(x) = 0.
-1, 0
Let x(p) = p**3 + p**2 + 5*p + 5. Let b(m) = -m - 1. Let f(w) = 6*b(w) + x(w). Find g, given that f(g) = 0.
-1, 1
Let m(n) be the third derivative of -2*n**7/105 + n**6/10 - n**5/5 + n**4/6 - 21*n**2. Let m(y) = 0. What is y?
0, 1
Let f(p) be the second derivative of p**5/100 - p**4/10 + 3*p**3/10 + p**2/2 + 5*p. Let q(j) be the first derivative of f(j). Suppose q(k) = 0. What is k?
1, 3
Let i(v) be the second derivative of v**5/60 - v**4/4 + 3*v**3/2 - 9*v**2/2 - 23*v. Determine l, given that i(l) = 0.
3
Find p, given that -4*p - 20*p**2 + 5*p**3 - p + 12 + 6 + 2 = 0.
-1, 1, 4
Factor 2/11*t**2 - 24/11 + 2*t.
2*(t - 1)*(t + 12)/11
Let d(t) be the first derivative of t**5/25 + t**4/10 + 5. Suppose d(i) = 0. Calculate i.
-2, 0
Let p(t) = -t - 4. Let m be p(-6). Suppose v + 4*f - 3 = -f, v = 3*f + 3. Factor 0*n**2 - n**2 + 3*n**m - 2*n**v - 2 + 2*n.
-2*(n - 1)**2*(n + 1)
Find i, given that 2/11*i**5 + 0 + 0*i**2 + 0*i + 0*i**4 - 2/11*i**3 = 0.
-1, 0, 1
Let u = -6 + 9. Suppose -u*q + 11 = -y, -2*q - y = -3*y - 10. Find p, given that -6*p**3 + p - q*p**4 - 4*p**5 + 4*p**2 + p**3 + 8*p**5 - p**2 = 0.
-1, -1/4, 0, 1
Let m(a) be the second derivative of -2*a - 1/3*a**2 + 1/18*a**4 + 0 + 0*a**3. Find o, given that m(o) = 0.
-1, 1
Let n(l) be the second derivative of -3*l + 1/70*l**6 + 0 + 0*l**2 + 1/14*l**4 - 9/140*l**5 + 0*l**3. Suppose n(c) = 0. What is c?
0, 1, 2
Let w(u) be the first derivative of u**6/360 - u**4/24 - u**3/3 + 2. Let h(d) be the third derivative of w(d). Factor h(s).
(s - 1)*(s + 1)
Suppose 2*j - 9 = -3*d, -j + 9 = 3*d - 4*j. Let -6*o**2 - 16*o - o**4 - 1 + 0*o**2 + 12*o - 4*o**d = 0. What is o?
-1
Factor 5*n - 5/4*n**2 + 25/4.
-5*(n - 5)*(n + 1)/4
Let l be (2*3/960)/((-9)/(-12)). Let q(i) be the third derivative of 1/60*i**5 - l*i**6 + 0 - 2*i**2 + 0*i + 1/24*i**4 - 1/6*i**3. Solve q(w) = 0 for w.
-1, 1
Let s(v) be the first derivative of v**3/9 - v/3 + 3. Suppose s(f) = 0. What is f?
-1, 1
Factor -21/2*n**2 + 25/2*n**4 + 5/2*n**3 - 9/2*n + 0.
n*(n - 1)*(5*n + 3)**2/2
Let o(a) be the second derivative of -a**7/70 - 4*a**6/75 - 7*a**5/100 - a**4/30 - 11*a. Let o(c) = 0. What is c?
-1, -2/3, 0
Let j(q) be the second derivative of 0*q**3 + 0 + 0*q**2 + q + 0*q**4 + 1/100*q**5 + 1/150*q**6. Factor j(o).
o**3*(o + 1)/5
Suppose 4*m = 5*z + 105, 0 = 4*m + 3*z - 64 - 1. Find b, given that m*b - 31*b + 4 + 4*b**2 + 19*b = 0.
-1
Let k(l) be the second derivative of -1/24*l**4 + 0 - 1/24*l**3 - 1/80*l**5 + 0*l**2 - 9*l. Factor k(x).
-x*(x + 1)**2/4
Suppose -10/9*o**3 + 14/9*o**2 - 8/9 + 16/9*o = 0. What is o?
-1, 2/5, 2
Let w(o) be the third derivative of -o**5/12 + 5*o**4/12 + 5*o**3/2 + 8*o**2. Factor w(t).
-5*(t - 3)*(t + 1)
Let x(z) = -15*z**2 + 11*z - 9. Let y(d) = 7*d**2 - 5*d + 4. Let i(v) = -6*x(v) - 13*y(v). Suppose i(c) = 0. Calculate c.
-2, 1
Let h(q) be the second derivative of q**7/42 - q**6/15 + q**4/6 - q**3/6 + 13*q. Factor h(i).
i*(i - 1)**3*(i + 1)
Let t(w) be the third derivative of w**7/630 + w**6/360 - w**5/20 + 11*w**4/72 - 2*w**3/9 - 12*w**2. Factor t(q).
(q - 1)**3*(q + 4)/3
Determine m, given that -80/9*m + 26/3*m**2 - 2*m**3 + 8/3 = 0.
2/3, 3
Let p(s) = s - 1. Let i be p(5). Factor h**4 + 2*h**2 - 3*h**3 - 4*h**4 + 6*h**3 + i*h**4.
h**2*(h + 1)*(h + 2)
Factor 14*v**2 - 43*v**2 - 14*v + 17*v**2 - 12 + 10*v**2.
-2*(v + 1)*(v + 6)
Let d(l) = l**2 + l - 1. Let f be d(1). Suppose -q + 1 + f = 0. Factor 1/3*p**5 + 0 + 0*p**3 + 0*p**q - 2/3*p**4 + 0*p.
p**4*(p - 2)/3
Determine x, given that 0*x**4 + 0*x + 0*x**2 