+ 2/15*a**4.
2*(a - 1)*(a + 1)**3/15
Let 0*k**2 - 1/6*k**3 + 1/2*k + 1/3 = 0. Calculate k.
-1, 2
Suppose 3*n = 5 + 1. Let l be (n/4)/(2/20). Factor 3 + 2*g - g**4 - 2*g**3 - l + 3.
-(g - 1)*(g + 1)**3
Let f(c) be the second derivative of c**5/120 + c**4/48 - c**3/6 + c**2 + c. Let v(t) be the first derivative of f(t). Factor v(z).
(z - 1)*(z + 2)/2
Let y(r) be the first derivative of 2*r**5/75 - r**4/30 - 2*r**3/15 + r**2/3 - 4*r/15 - 3. Factor y(m).
2*(m - 1)**3*(m + 2)/15
Let j = -5 + 7. Suppose 2*x + 2*m + 4 = 0, j*x = 4*x - m - 8. Factor 16/5 + 24/5*f + 12/5*f**x + 2/5*f**3.
2*(f + 2)**3/5
Let n(s) be the first derivative of 0*s - 4 - 1/6*s**4 - 2/3*s**2 - 2/3*s**3. Factor n(w).
-2*w*(w + 1)*(w + 2)/3
Let h(u) be the first derivative of -u**7/1050 + u**6/300 + u**5/300 - u**4/60 + u**2 + 3. Let d(o) be the second derivative of h(o). Factor d(j).
-j*(j - 2)*(j - 1)*(j + 1)/5
Solve 2*q**2 + 3*q + q - 1 + 1 = 0 for q.
-2, 0
Suppose -s - 3*a = s, 0 = a. Suppose 0 = -s*t - 7*t. Find q such that -2/3*q**4 + 2/3*q**3 + 0 + t*q + 0*q**2 = 0.
0, 1
Let d be 4/10 - (-174)/15. Let b = d + -8. Solve -2/7 + 4/7*j**3 - 2/7*j**b + 4/7*j**2 - 2/7*j - 2/7*j**5 = 0.
-1, 1
Let m be 14/315*9*9/6. Determine h, given that -m*h**4 - 18/5*h**2 + 24/5 - 3*h**3 + 12/5*h = 0.
-2, 1
Factor -7/4*p + 1/4*p**5 - 1/2*p**3 - 2*p**2 + 1/2*p**4 - 1/2.
(p - 2)*(p + 1)**4/4
Let c(o) be the second derivative of -o**4/66 + 20*o**3/33 - 100*o**2/11 + 14*o - 1. Factor c(d).
-2*(d - 10)**2/11
Let k(v) be the second derivative of -v**4/12 + v**2/2 + 4*v. Determine i, given that k(i) = 0.
-1, 1
Let w(c) be the second derivative of 1/315*c**7 + c - 1/90*c**5 + 0*c**3 + 0 + 0*c**6 + 0*c**4 + c**2. Let u(l) be the first derivative of w(l). Factor u(g).
2*g**2*(g - 1)*(g + 1)/3
Factor 18/7*s + 0 + 15/7*s**2 + 3/7*s**3.
3*s*(s + 2)*(s + 3)/7
Find p, given that 4/5*p**2 + 16/5*p + 0 = 0.
-4, 0
Let p(b) = b**2 - 10*b + 24. Let o be p(3). Factor 2*x**2 + 6/5 - 2/5*x**o - 14/5*x.
-2*(x - 3)*(x - 1)**2/5
Suppose 1/2*j**2 + 2 - 6*j**3 - 5/2*j**4 + 6*j = 0. What is j?
-2, -1, -2/5, 1
Let m(a) = a**3 - 5*a**2 - 3. Let o = 32 - 7. Let k = -35 + o. Let v(h) = -2*h**3 + 9*h**2 + 5. Let d(n) = k*m(n) - 6*v(n). Factor d(r).
2*r**2*(r - 2)
Factor -4/3*c**3 - 2*c**2 + 0 - 8/9*c - 2/9*c**4.
-2*c*(c + 1)**2*(c + 4)/9
Let u(j) be the third derivative of 0*j - 4*j**2 + 1/6*j**3 - 1/16*j**4 + 1/120*j**5 + 0. Solve u(g) = 0.
1, 2
Let j be -6*(0 - (3 - 2)). Let a = j + -2. Suppose -10*v**4 + 2*v**5 + a + 4*v**3 - 8*v - 2 + 8*v**2 + 2*v**5 = 0. What is v?
-1, 1/2, 1
Let o(z) = -2*z + 2. Let q(l) = -l**2 - 7*l + 7. Let f(g) = 7*o(g) - 2*q(g). Determine m, given that f(m) = 0.
0
Let r(d) be the first derivative of -d**6/105 + 4*d + 7. Let c(h) be the first derivative of r(h). Determine o, given that c(o) = 0.
0
Factor -15*o**5 + 35*o**3 - 65*o**5 + 15*o**4 + 5*o**2 + 25*o**4.
-5*o**2*(o - 1)*(4*o + 1)**2
Let d(v) = -24*v**3 - 29*v**2 - 13*v. Let a be (4 - 0) + 1 + -3. Let j(q) = -6*q**3 - 7*q**2 - 3*q. Let c(m) = a*d(m) - 9*j(m). Factor c(g).
g*(2*g + 1)*(3*g + 1)
Let q = 428/3 + -285/2. Factor -q*s**2 - 3/2 - s.
-(s + 3)**2/6
Let u = 2 - -6. Suppose 0 = -5*v + 2*i + u, -2*v + i + 0*i + 3 = 0. Factor -5*o**2 - 2 - 10*o + 4*o**2 - 11*o**v.
-2*(2*o + 1)*(3*o + 1)
Let h be (-230)/70 - -3*1. Let c = 11/14 + h. What is o in -1/2*o + 1/2*o**3 + 1/2 - c*o**2 = 0?
-1, 1
Let u = -1088/5 - -218. Factor 4/15 + u*h**3 - 4/15*h**2 - 2/5*h.
2*(h - 1)*(h + 1)*(3*h - 2)/15
Factor 7*x**2 + 3*x**2 + 40*x - 4*x**2 - x**2.
5*x*(x + 8)
Let r = -11 + 11. Suppose -k**2 + 0*k**3 + 1/2 + 1/2*k**4 + r*k = 0. Calculate k.
-1, 1
Let j = 212 - 1906/9. Let c(v) = v**2 + v. Let g be c(-2). Factor -2/9 + 4/9*t - j*t**g.
-2*(t - 1)**2/9
Suppose -5*z - 2*j + 12 + 22 = 0, -5*z + 26 = -2*j. Suppose -u + z = 2*u. Suppose 8/7*m**4 + 12/7*m**3 + 2/7*m + 2/7*m**5 + 0 + 8/7*m**u = 0. What is m?
-1, 0
Let f(h) = h**2 + 8*h - 7. Let s be f(-10). Solve s*p + 0 - 2 - 3*p**4 - 27*p**2 - 4*p**4 + 23*p**3 = 0.
2/7, 1
Suppose -n + 2*n = 12. Factor -n*o - o**3 + 2*o**3 - 12*o**2 - 6*o**3 + 2*o**3.
-3*o*(o + 2)**2
Let m be 369/60 + -2 - 4. Let g(r) be the second derivative of r + 0*r**2 + 0 + m*r**5 - 1/6*r**4 + 0*r**3 - 1/30*r**6. Factor g(n).
-n**2*(n - 2)*(n - 1)
Find k such that 9*k**3 - 2*k**2 - 9*k**4 - k**4 - 2*k**4 + 5*k**5 = 0.
0, 2/5, 1
Let i(m) = -m**3 + 6*m**2 - 5*m. Let z be i(5). Suppose -3*j + 9 = 3*p, z = -2*p - j - 3*j + 6. Factor -9/4*d**2 + p + 3/4*d**3 + 0*d.
3*(d - 2)**2*(d + 1)/4
Let o(p) be the first derivative of 4*p**3/3 - 6*p**2 + 8*p - 16. Suppose o(i) = 0. Calculate i.
1, 2
Let z = 8 - 4. Factor 6*y**2 + 4 - 12*y + 2*y**3 + y**z + 0*y**4 + 2*y - 3*y**4.
-2*(y - 1)**3*(y + 2)
Let y(s) = -3*s**5 - 8*s**4 - 11*s**3 - 2*s**2 + 4. Let h(k) = -6*k**5 - 17*k**4 - 23*k**3 - 5*k**2 + 7. Let p(a) = 4*h(a) - 7*y(a). Factor p(m).
-3*m**2*(m + 1)**2*(m + 2)
Let f(x) be the first derivative of -x**5/5 + x**4/4 - 5. Factor f(g).
-g**3*(g - 1)
Let u(a) be the first derivative of a**3/9 + a**2/3 + a/3 - 4. Factor u(n).
(n + 1)**2/3
Let y(s) be the first derivative of 8*s**3/3 - 2*s**2 - 2. Factor y(j).
4*j*(2*j - 1)
Let j(u) be the first derivative of -1/27*u**3 - 1/54*u**4 + 2 + 2*u + 2/9*u**2. Let r(h) be the first derivative of j(h). Determine s so that r(s) = 0.
-2, 1
Factor 0 + 25/3*u**3 + 5*u**4 + 5/3*u**2 - 5/3*u.
5*u*(u + 1)**2*(3*u - 1)/3
Let x be 15/(-20)*40/(-6). Suppose -x*d + m + 2*m = 15, 4*d + 10 = 2*m. Determine w, given that 1/6*w**3 + d*w - 1/6*w**2 + 0 = 0.
0, 1
Let o(n) be the second derivative of 0*n**2 + 1/2*n**3 + 1/8*n**4 - 2*n + 0. Factor o(p).
3*p*(p + 2)/2
Suppose -5*f - 11 = -21. Determine t so that 2*t**2 - f*t**5 - 4*t + 9*t**4 + 6*t**5 - t**4 - 10*t**2 = 0.
-1, 0, 1
Let d be (-12)/2 - (-9 + 3). Factor -8/9*a**4 + 8/9*a**3 - 2/9*a**2 + d*a + 0.
-2*a**2*(2*a - 1)**2/9
Factor -2/7*r**5 + 0 + 0*r + 2/7*r**3 + 2/7*r**2 - 2/7*r**4.
-2*r**2*(r - 1)*(r + 1)**2/7
Let x be (6/4)/((-1)/(-2)). Let l be (-35)/(-15)*2/7. Factor -2/3*y**x - 2/3*y**2 + l*y + 2/3.
-2*(y - 1)*(y + 1)**2/3
Let i(g) be the first derivative of -3 + 0*g + 3/2*g**2 + 1/150*g**5 + 1/30*g**4 + 0*g**3. Let u(y) be the second derivative of i(y). Factor u(c).
2*c*(c + 2)/5
Let h = -83 - -86. Let 8/3*j - 2/3 - 8/3*j**h + 2/3*j**2 = 0. What is j?
-1, 1/4, 1
Let l(z) = -z**2 - z. Let m(i) = -5*i**4 - 30*i**3 - 69*i**2 - 64*i - 20. Let a(n) = -4*l(n) + m(n). Suppose a(b) = 0. What is b?
-2, -1
Let x(k) = 3*k**3 - 14*k**2 + 11*k - 2. Let w(f) = -5*f**3 + 29*f**2 - 23*f + 4. Let q(h) = 2*w(h) + 5*x(h). Find i, given that q(i) = 0.
2/5, 1
Let p(s) be the third derivative of 2*s**7/525 - s**6/300 - s**5/75 + s**4/60 + 11*s**2. Find o, given that p(o) = 0.
-1, 0, 1/2, 1
Let y(u) be the second derivative of u**8/6720 + u**7/840 - 2*u**4/3 + 4*u. Let s(h) be the third derivative of y(h). Factor s(v).
v**2*(v + 3)
Suppose 3*h = -5*g + 2, 6*h - 10 = 2*h - 3*g. Factor 4*p**3 - h*p**4 - p**2 + p**4 + 0*p**2.
-p**2*(p - 1)*(3*p - 1)
Let p(y) be the first derivative of y**3/15 - y**2/5 - 3*y/5 + 9. Factor p(v).
(v - 3)*(v + 1)/5
Let s(n) = -n**3 + 13*n**2 - 7*n - 60. Let m be s(12). Find q such that -q + 0 - 35/4*q**4 + m*q**2 + 39/4*q**3 = 0.
-2/7, 0, 2/5, 1
Let v(m) = -m**2 - 3*m. Suppose 4*i + 15 - 3 = 0. Let n be v(i). Determine f so that n*f**4 + 0 + 0*f**2 + 1/3*f**5 - 2/3*f**3 + 1/3*f = 0.
-1, 0, 1
Let s(y) be the second derivative of y**6/135 - 2*y**5/45 + 5*y**4/54 - 2*y**3/27 - 41*y. Factor s(v).
2*v*(v - 2)*(v - 1)**2/9
Let z = -3 - -3. Let o(q) be the third derivative of 1/270*q**5 + z*q - 1/27*q**3 - q**2 + 0 + 0*q**4. Factor o(a).
2*(a - 1)*(a + 1)/9
Let u be 0*(7/35 - (-4)/5). Factor 1/6*w**3 + u + 0*w - 1/6*w**2.
w**2*(w - 1)/6
Let w(k) be the second derivative of -1/10*k**5 - 1/15*k**6 - 2*k + 0*k**2 + 0*k**3 + 1/21*k**7 + 1/6*k**4 + 0. Determine c so that w(c) = 0.
-1, 0, 1
Let c(i) be the second derivative of -i**7/315 + i**5/45 - i**3/9 + 3*i**2/2 - 3*i. Let x(f) be the first derivative of c(f). Factor x(w).
-2*(w - 1)**2*(w + 1)**2/3
Factor -b**3 - 8*b**4 + 8*b**4 + b**5.
b**3*(b - 1)*(b + 1)
Let w be 4/(-18) - 4/(-18). Suppose 0 = -w*y - 4*y + 12. Find u, given that y*u**3 - 2*u**4 - 3*u**3 + 2*u**5 = 0.
0, 1
Let k(y) be the third derivative of -y**10/4536