**3 + 0 - 1/30*h**5 - 2*h**2 + 1/3*h**4 + 0*h. Factor p(a).
-2*(a - 2)**2
Let a(m) be the first derivative of 8/15*m**5 + 2/9*m**3 - 2 + 1/6*m**6 + 0*m**2 + 0*m + 7/12*m**4. Suppose a(b) = 0. Calculate b.
-1, -2/3, 0
Let q(h) be the first derivative of h**4/4 - h**2/2 - 3. Let q(u) = 0. Calculate u.
-1, 0, 1
Let d(t) be the third derivative of -t**8/168 - 2*t**7/105 + t**5/15 + t**4/12 + 6*t**2. Factor d(s).
-2*s*(s - 1)*(s + 1)**3
Let g be (10/(-6) + (-10 - -12))*6. Factor -2/7*k - 4/7*k**g + 0 - 2/7*k**3.
-2*k*(k + 1)**2/7
Let c be 2/10*-2 - 8/(-10). Factor 0 - c*w + 2/5*w**2.
2*w*(w - 1)/5
Let l(o) be the third derivative of 3*o**7/140 - 7*o**6/240 - o**5/60 - 19*o**2 + 2. Factor l(y).
y**2*(y - 1)*(9*y + 2)/2
Suppose -4*f + u = 5*u - 4, 11 = 3*f + u. Suppose -d = -f*d. Factor b**5 - 2*b**4 + d*b**4 + b**4.
b**4*(b - 1)
Let d be -3 + -12 + (2 - 1). Let m be 6/d + 123/189. Factor 0*v - m*v**2 + 2/9.
-2*(v - 1)*(v + 1)/9
Let u(p) be the first derivative of -p**5 - 5*p**4/2 + 5*p**2 + 5*p + 27. Factor u(x).
-5*(x - 1)*(x + 1)**3
Factor -12*x + 4 + 3*x**2 + 3 + 1 + 4.
3*(x - 2)**2
Suppose 5*g = 1 + 24. Let x(c) be the third derivative of 0*c - 1/18*c**3 + 0 - c**2 + 1/90*c**6 + 1/180*c**g - 1/18*c**4. Factor x(y).
(y - 1)*(y + 1)*(4*y + 1)/3
Let b be 1 + 0 - 5/(-5). Factor 2*r**5 + b*r**4 + 4*r**4 - 4*r**4.
2*r**4*(r + 1)
Let b(f) be the third derivative of -2*f**2 - 1/9*f**3 - 1/72*f**4 + 0 + 0*f + 1/180*f**5. Factor b(h).
(h - 2)*(h + 1)/3
Let v(a) = 9*a**3 - 15*a**2 - 11*a + 11. Let g(z) = -5*z**3 + 8*z**2 + 6*z - 6. Let f(t) = -11*g(t) - 6*v(t). Factor f(d).
d**2*(d + 2)
Let o be (2/2 - 14)/(-1). Suppose -3*c - 4 = -o. Factor -3*k**3 - 2 + 3*k**c + 12*k - 18*k**2 + 8*k**3.
2*(k - 1)**2*(4*k - 1)
Let n = -143 + 143. Factor 1/2*v**3 + 0*v + n + 1/2*v**4 + 0*v**2.
v**3*(v + 1)/2
Let o be 2/(-4) - (2366/(-196))/13. Determine f so that -3/7*f**3 + 0*f**2 + 0 + o*f = 0.
-1, 0, 1
Let d(v) = 4*v**2 - 2*v + 4. Let k(q) = -9*q**2 + 4*q - 8. Let s(f) = 13*d(f) + 6*k(f). Solve s(a) = 0.
-2, 1
Let l(n) be the first derivative of 4/5*n**2 + 2*n + 2 + 1/30*n**4 - 4/15*n**3. Let s(z) be the first derivative of l(z). Let s(i) = 0. Calculate i.
2
Let r(q) be the second derivative of -q**7/42 + q**6/30 + q**5/10 - q**4/6 - q**3/6 + q**2/2 - 10*q. Find i such that r(i) = 0.
-1, 1
Let y be (1 + 4)*(-4)/10. Let u = 0 - y. Let -4*f**2 + 3*f - 5*f + u*f**2 = 0. What is f?
-1, 0
Let s = 33 + -30. Suppose -s*a - a = 0. Suppose a + 2/5*i**2 - 4/5*i + 2/5*i**3 = 0. What is i?
-2, 0, 1
Determine l, given that -2/5*l**2 - 512/5 + 64/5*l = 0.
16
Let u(i) be the third derivative of -i**6/960 - i**5/160 + i**3/12 - 16*i**2. Determine h, given that u(h) = 0.
-2, 1
Suppose 0 - 9 = -3*f. Suppose 0*u - 22/5*u**2 - 36/5*u**f - 16/5*u**4 + 2/5 = 0. Calculate u.
-1, -1/2, 1/4
Let k(u) be the first derivative of u**4/4 + u**2/2 + 4. Let i(w) = -2*w**5 - 7*w**4 - 13*w**3 - 5*w**2 - 5*w. Let v(s) = -i(s) - 4*k(s). Factor v(n).
n*(n + 1)**3*(2*n + 1)
Suppose 0 = d - 5, 4*m + 0*d - 3*d + 7 = 0. Factor 4 + 3*g**m - 6*g - 1 + 0.
3*(g - 1)**2
Let y = 7 + -2. Factor 2*z**2 - 4 - 13*z + y*z + 12.
2*(z - 2)**2
Let p(f) be the second derivative of 1/25*f**5 + 0*f**3 + 1/30*f**4 + 0*f**2 + 1/75*f**6 + 4*f + 0. Factor p(q).
2*q**2*(q + 1)**2/5
Let z(i) be the second derivative of -i**5/70 - i**4/56 - 2*i**2 - 2*i. Let q(n) be the first derivative of z(n). Suppose q(a) = 0. Calculate a.
-1/2, 0
Let v(w) be the third derivative of 0*w**5 + 0 - 1/210*w**7 + 1/60*w**6 - 1/12*w**4 + 0*w + 1/6*w**3 - 2*w**2. Factor v(j).
-(j - 1)**3*(j + 1)
Let t(a) be the third derivative of a**7/4200 - a**5/600 + a**3/3 + 2*a**2. Let c(g) be the first derivative of t(g). Suppose c(z) = 0. Calculate z.
-1, 0, 1
Let w(x) be the third derivative of -1/21*x**4 - 3/10*x**5 + 0*x - 5*x**2 + 0 + 4/21*x**3. Factor w(u).
-2*(7*u + 2)*(9*u - 2)/7
Let c(t) be the third derivative of -t**6/120 + t**4/24 - 14*t**2. What is x in c(x) = 0?
-1, 0, 1
Factor -3*q + 1 - 1 + q**3 - 2.
(q - 2)*(q + 1)**2
Suppose -3*z + 3 = -3. Factor -3*w - 6*w**2 - z*w**2 - w**2.
-3*w*(3*w + 1)
Let i(c) = -13*c**2 - 5*c - 2. Let v(o) be the first derivative of 1 + o + o**2 + 7/3*o**3. Let f(k) = 6*i(k) + 10*v(k). Solve f(l) = 0 for l.
-1, -1/4
Let g(v) be the first derivative of -1/9*v**2 + 2 - 1/6*v**4 + 10/27*v**3 - 2/9*v. Suppose g(j) = 0. What is j?
-1/3, 1
Let r(v) = -v**3 - 16*v**2 - 15*v. Let y be r(-15). Factor 0*j**2 + y + 2/7*j**3 + 0*j + 2/7*j**4.
2*j**3*(j + 1)/7
Let q = 65 - 583/9. Find v, given that 0 - 2/9*v**3 + 2/9*v + 2/9*v**4 - q*v**2 = 0.
-1, 0, 1
Let o(n) be the first derivative of -2*n**3/15 + n**2/5 - 20. Factor o(c).
-2*c*(c - 1)/5
What is l in 8/3 - 2*l**2 + 22/3*l = 0?
-1/3, 4
Suppose -3*c = -2*c - 14. Let g be c + 2*3/(-6). Let n(q) = 15*q**2 + 15*q + 13. Let d(z) = 7*z**2 + 7*z + 6. Let x(l) = g*d(l) - 6*n(l). Factor x(k).
k*(k + 1)
Let u(f) = f + 2. Let v be u(2). Suppose 0 + 0*q + 4/7*q**2 - 2/7*q**v + 2/7*q**3 = 0. What is q?
-1, 0, 2
Factor 1/3*q**3 + 0*q**2 + 0*q + 0 - 1/3*q**4.
-q**3*(q - 1)/3
Let j = 2 - 0. Let h**3 - h**3 - j*h**4 = 0. What is h?
0
Determine p so that 2/5*p**3 + 0 - 2/5*p**5 + 0*p**4 + 0*p**2 + 0*p = 0.
-1, 0, 1
Let z be -1 + (3 - 3) - 36/(-28). Solve z + 2/7*r**2 + 4/7*r = 0 for r.
-1
Let g be ((-5)/24)/5*-1. Let b(x) be the second derivative of 1/168*x**7 + 3/40*x**5 + 0 - 1/12*x**4 + g*x**3 + 0*x**2 - 1/30*x**6 - x. Factor b(v).
v*(v - 1)**4/4
Let o(y) be the third derivative of y**5/270 + y**4/18 + 8*y**3/27 - 12*y**2. Factor o(f).
2*(f + 2)*(f + 4)/9
Factor -8/3*u**2 - 10/3*u + 2/3*u**3 + 0.
2*u*(u - 5)*(u + 1)/3
Let d be (-14)/(-56)*(1 + 0). Let o(a) be the first derivative of -17/20*a**5 + 0*a - d*a**2 - 1 - 11/12*a**3 - 21/16*a**4 - 5/24*a**6. Factor o(m).
-m*(m + 1)**3*(5*m + 2)/4
Factor -43*w**2 - 30 - 5*w**3 - 502*w + 5*w**4 + 567*w + 8*w**2.
5*(w - 2)*(w - 1)**2*(w + 3)
Suppose 3*u = -5*q - 25, -3 - 7 = -3*u + 2*q. Suppose -5*g - 5 = 5*v, u*v + 12 = 3*g - 2*v. Let -2/3*h**g + 8/3*h - 8/3 = 0. Calculate h.
2
Let m = -76 - -76. Let f(j) be the third derivative of -2*j**2 + m + 0*j**3 + 1/150*j**5 - 1/30*j**4 + 0*j. Find t, given that f(t) = 0.
0, 2
Suppose -1/2*p**2 + 1/2*p**4 + 0 + 1/2*p - 1/2*p**3 = 0. What is p?
-1, 0, 1
Let n(d) be the first derivative of d**4/4 + d**3/3 - d**2/2 - d - 3. Let t(z) = 2*z - 2. Let f(w) = -2*n(w) + t(w). Let f(h) = 0. Calculate h.
-2, 0, 1
Let -3 - 6*h**2 + 11 + 4*h + 2*h**2 = 0. Calculate h.
-1, 2
Let c(g) = 5*g**2 - 5*g + 3. Let s(a) = 29*a**2 - 29*a + 17. Let k(l) = -34*c(l) + 6*s(l). Determine f so that k(f) = 0.
0, 1
Let a = -24 + 24. Factor 0*q**3 + 0*q**2 + a + 3/7*q**4 + 0*q.
3*q**4/7
Let j(r) be the third derivative of -r**7/420 - r**6/240 + r**5/40 + r**4/48 - r**3/6 - 2*r**2. Determine n so that j(n) = 0.
-2, -1, 1
Suppose 0 = 4*f - 17 - 67. Suppose -f - 3 = -3*m. Suppose -2 - m*t**3 - 5*t**4 + 3*t**4 - 12*t**2 - 5*t + 4*t - 7*t = 0. Calculate t.
-1
Let w = 9 - 5. Let j be w/(((-6)/(-2))/3). Find c such that 4/5*c**2 - 2/5*c**5 - 2/5 - 2/5*c**j + 4/5*c**3 - 2/5*c = 0.
-1, 1
Let w = -173 + 176. Let n be 9/6*(-4)/(-9). Determine j, given that 0*j**2 + n*j + 2/3*j**5 + 0 + 0*j**4 - 4/3*j**w = 0.
-1, 0, 1
Let s(f) be the first derivative of 3*f**7/70 + 7*f**6/40 + 3*f**5/20 - 3*f**4/8 - f**3 + f**2 - 3. Let q(m) be the second derivative of s(m). Factor q(r).
3*(r + 1)**3*(3*r - 2)
Let p be (-790)/(-50) + -9 - 6. Factor p - 6/5*y**2 + 2/5*y - 2/5*y**3 + 2/5*y**4.
2*(y - 2)*(y - 1)*(y + 1)**2/5
Let u(m) be the first derivative of 0*m + 1 + 1/15*m**3 - 1/10*m**2. Solve u(j) = 0 for j.
0, 1
Let j(c) be the first derivative of c**4/8 + c**3/3 + c**2/4 - 2. Suppose j(n) = 0. Calculate n.
-1, 0
Let q be (2*1/(-4))/(1 + -2). Let l(r) be the first derivative of 1/2*r**5 + 5/4*r**4 + 5/4*r**2 - 3 + 1/12*r**6 + 5/3*r**3 + q*r. Solve l(n) = 0 for n.
-1
Let i(a) = 9*a**2 + 13*a - 5. Let k(b) = 5*b**2 + 7*b - 3. Let c(x) = 3*i(x) - 5*k(x). Factor c(h).
2*h*(h + 2)
Let m(q) be the first derivative of 0*q - 2/9*q**3 + 3 - 1/3*q**2. What is l in m(l) = 0?
-1, 0
Let f(n) be the first derivative of -2*n**5/25 + n**4/10 + 2*n**3/15 - n**2/5 - 7. Factor f(y).
-2*y*(y - 1)**2*(y + 1)/5
Factor 4 + q**5 + 32*q**2 - 4*q**3 + 0*q**5 + q**5 + 32*q**3 + 12*q**4 + 18*q.
