5 + 2.
-3*(d - 1)**3*(2*d - 1)
Let k(z) be the third derivative of 2*z**2 + 1/96*z**4 - 1/240*z**5 + 0*z + 1/24*z**3 - 1/480*z**6 + 0. Factor k(o).
-(o - 1)*(o + 1)**2/4
Let s(z) be the first derivative of -z**8/2520 - z**7/1260 + 5*z**3/3 + 2. Let y(n) be the third derivative of s(n). Factor y(g).
-2*g**3*(g + 1)/3
Let p(l) be the third derivative of -l**7/840 - 2*l**2. Factor p(s).
-s**4/4
Let z = -272/9 + 302/9. Solve 0 - 4/3*j + z*j**2 + 2*j**3 = 0 for j.
-2, 0, 1/3
Let x(r) be the third derivative of r**6/40 - 3*r**5/20 + 3*r**4/8 - r**3/2 - 4*r**2. Factor x(u).
3*(u - 1)**3
Suppose -3*l + 1 - 7 = 0. Let i(d) = -d - 1. Let h(j) = -j**5 + 3*j**4 - 2*j**3 - 2*j**2 + 5*j + 1. Suppose -2 = w + w. Let f(c) = l*i(c) + w*h(c). Factor f(y).
(y - 1)**4*(y + 1)
Let b(g) = g**2 + 22*g + 48. Let z(r) = -r**2 - r. Let m(n) = -b(n) + 2*z(n). Let m(q) = 0. What is q?
-4
Let a(x) be the second derivative of -x**5/50 + x**4/30 - 9*x. Suppose a(y) = 0. Calculate y.
0, 1
Suppose -3*t + 9 + 6 = 0. Suppose y - 7 = -o, -4*y - y + 15 = -t*o. Determine c, given that 5*c**4 - 7*c**5 + 2*c**3 + c**2 - c**o = 0.
-2/7, 0, 1
Let w(b) = -2*b**3 - 3*b**2 - 6*b - 5. Let x(g) = -11*g**3 - 17*g**2 - 35*g - 29. Suppose -2*p + 0 = -12. Let v(c) = p*x(c) - 34*w(c). Factor v(l).
2*(l - 2)*(l + 1)**2
Factor 4*k**2 - 3*k**4 + 8*k**4 + 12*k**3 + k**4 + 6*k**4 + 4*k**5.
4*k**2*(k + 1)**3
Factor -7*t - 9*t + 9*t**2 - 3*t**3 + 7*t**2 - t**3.
-4*t*(t - 2)**2
Let x = -48 - -34. Let z = x - -16. Factor -2/3*p + 0 - 2/3*p**z.
-2*p*(p + 1)/3
Let m(u) be the second derivative of 5*u**7/168 - u**6/15 - u**5/20 + 5*u**4/24 - u**3/24 - u**2/4 - 5*u. Determine s so that m(s) = 0.
-1, -2/5, 1
Let o(x) be the first derivative of x**4/4 - 4*x**3 + 5*x**2 + 14*x - 1. Let w be o(11). Factor -2 + 3*q**2 + 0*q**w + 2*q - 2*q**3 - q**2.
-2*(q - 1)**2*(q + 1)
Let 23 + 2*x**2 + 2*x - 14*x - 23 - 14 = 0. What is x?
-1, 7
Let v = -9 + 5. Let t = v + 7. Solve 2*m**t - m**4 - m**4 - 4*m**3 = 0 for m.
-1, 0
Suppose -3*c + 22 = -8. Suppose -c = y - 2*q, -y - 5*q = -2*y - 25. Factor -2*u**4 + 0*u**2 - 2*u**2 + 0*u**3 + y*u**2 - 4*u**3.
-2*u**2*(u + 1)**2
Let d = 7 - 4. Let c(n) be the first derivative of -1/8*n**4 + 1/3*n**d + 0*n - 1 - 1/4*n**2. Factor c(o).
-o*(o - 1)**2/2
Factor -7*n**2 + 3 + n + 10*n**2 - n**3 - 6*n**2.
-(n - 1)*(n + 1)*(n + 3)
Determine i so that -9*i**2 + 21*i**2 + 4*i - 8*i**2 - 3*i**2 = 0.
-4, 0
Let c(u) = 5*u - 1. Let x be c(2). Suppose 5*m - 1 = x. Factor 2*h**2 - 2 + m.
2*h**2
Let c(o) be the third derivative of -o**8/2240 + o**6/240 - o**4/32 - o**3/3 + 3*o**2. Let n(a) be the first derivative of c(a). Factor n(v).
-3*(v - 1)**2*(v + 1)**2/4
Factor -1/7*p**3 + 0 - 7*p - 2*p**2.
-p*(p + 7)**2/7
Let i be 6154/(-10) + 12/(-20). Let j = i - -4320/7. Determine t, given that 12/7*t**2 + 2/7 - j*t + 2/7*t**4 - 8/7*t**3 = 0.
1
Let x(i) = -i**3 + i**2. Let u be x(0). Let m = -1/87 + 146/87. Factor 0*v - 1/3*v**2 + u - 2/3*v**5 - 4/3*v**3 - m*v**4.
-v**2*(v + 1)**2*(2*v + 1)/3
Let g(m) be the third derivative of -m**8/1176 - m**7/735 + m**6/210 + m**5/105 - m**4/84 - m**3/21 - 5*m**2. What is d in g(d) = 0?
-1, 1
Let x be ((-4)/(-12))/((-2)/(-12)). Let f be (-1 + 4)*(x + -1). Factor -3*t**4 - t**2 - t**2 - 2*t**f + 5*t**4 + 2*t.
2*t*(t - 1)**2*(t + 1)
Let a(l) be the first derivative of 5*l**6/6 + 4*l**5 + 5*l**4 - 10*l**3/3 - 25*l**2/2 - 10*l - 29. Factor a(f).
5*(f - 1)*(f + 1)**3*(f + 2)
Let q(i) be the first derivative of 3*i**4/16 + i**3/2 - 21*i**2/8 + 3*i + 14. Factor q(l).
3*(l - 1)**2*(l + 4)/4
Let b(j) be the first derivative of j**5 + 5*j**4/4 - 5*j**3/3 - 5*j**2/2 + 8. Factor b(l).
5*l*(l - 1)*(l + 1)**2
Let s(p) = -p**3 + 3*p**2 + p + 5. Let i(o) be the second derivative of o**5/20 - o**4/6 - o**3/6 - 2*o**2 - o. Let h(q) = 4*i(q) + 3*s(q). Factor h(z).
(z - 1)*(z + 1)**2
Let p(k) = -7*k**2 + 25*k - 5. Let v(g) = 2*g**2 - g**2 - 6*g + 2 + g**2 - 1. Let m(l) = -6*p(l) - 26*v(l). Let m(h) = 0. Calculate h.
-2/5, 1
Let t(j) be the third derivative of j**5/240 - j**4/96 + 7*j**2. Factor t(z).
z*(z - 1)/4
Let w(t) = -t**3 + t**2. Let s(y) = 2*y**3 - y**2 - 1. Let o(v) = v + 5. Let p be o(-9). Let c(b) = p*w(b) - s(b). Factor c(z).
(z - 1)**2*(2*z + 1)
Let w = -8539/9 - -949. Factor 2/9 + 2/9*r - w*r**3 - 2/9*r**2.
-2*(r - 1)*(r + 1)**2/9
Let a(i) be the third derivative of i**7/15 - 37*i**6/60 + 59*i**5/30 - 35*i**4/12 + 2*i**3 + 4*i**2. Determine v so that a(v) = 0.
2/7, 1, 3
Let m(h) be the second derivative of -2*h**6/15 - h**5 - 3*h**4 - 14*h**3/3 - 4*h**2 - 9*h. Factor m(x).
-4*(x + 1)**3*(x + 2)
Let r(b) be the second derivative of b**7/4410 - 2*b**6/315 + 8*b**5/105 - 2*b**4/3 + 3*b. Let x(o) be the third derivative of r(o). Factor x(v).
4*(v - 4)**2/7
Let y = 49 - 243/5. Let q(a) be the second derivative of 2*a + 0 + y*a**2 - 4/15*a**3 + 1/20*a**4. Determine i, given that q(i) = 0.
2/3, 2
Suppose -60*n**2 - 58*n**2 + 114*n**2 = 0. Calculate n.
0
Let x be 4/6*(-1 + -2). Let v be x/4*(-6 + 2). Factor 0*s**3 - 2*s + v*s**4 + s**3 - 2*s**3 - 2*s**2 + 3*s**3.
2*s*(s - 1)*(s + 1)**2
Let j = 31 + -22. Factor -j*v + 3*v**2 + 0*v**2 - 1 + 2 + 5.
3*(v - 2)*(v - 1)
Let y be (-9390)/525 - 2/(-7). Let x = 18 + y. Find q, given that x*q + 6/5*q**2 + 0 + 4/5*q**3 = 0.
-1, -1/2, 0
Let t(y) be the third derivative of -y**8/112 - 2*y**7/35 - y**6/8 - y**5/10 - 24*y**2. Suppose t(x) = 0. What is x?
-2, -1, 0
Let a be (1 - -1) + (-317)/160. Let u(b) be the third derivative of -2*b**2 + 0 + 7/32*b**4 + 1/4*b**3 + a*b**6 + 0*b + 1/10*b**5. Factor u(n).
3*(n + 1)**2*(3*n + 2)/4
Let c be ((-1)/4)/(-6 - 55/(-10)). Factor 0 + 0*b - 1/4*b**3 - c*b**2.
-b**2*(b + 2)/4
Let z(x) be the first derivative of -x**6/54 - 2*x**5/45 + x**4/18 + 8*x**3/27 + 7*x**2/18 + 2*x/9 + 6. Suppose z(n) = 0. What is n?
-1, 2
Let g(s) be the first derivative of -2*s**3/39 + s**2/13 + 18. Let g(t) = 0. Calculate t.
0, 1
Let u(p) = 32*p**2 - 12*p. Let r(d) = -33*d**2 + 13*d. Let z(h) = -4*r(h) - 5*u(h). Factor z(v).
-4*v*(7*v - 2)
Suppose -z + 8 = 4*g + 2, 0 = -4*z - 2*g + 10. Factor -3*m**3 - m + 2*m**3 - m**z + 2*m**3 + m**4.
m*(m - 1)*(m + 1)**2
Let i(r) be the second derivative of -r**7/98 + 9*r**5/70 - 2*r**4/7 + 3*r**3/14 + 2*r - 8. Factor i(v).
-3*v*(v - 1)**3*(v + 3)/7
Let k(r) be the first derivative of r**3 + 33*r**2/2 - 36*r + 48. Determine b so that k(b) = 0.
-12, 1
Let l be 160/(-20)*(-2)/8. Let n(b) be the first derivative of 2 - 2/15*b**5 + 2/9*b**3 + 0*b - 1/6*b**4 + 1/3*b**l. Factor n(i).
-2*i*(i - 1)*(i + 1)**2/3
Let k be (4/(-10))/(-1)*15. Suppose 0 = -2*m + k - 0. Determine l, given that -1/2*l**4 - m*l**2 - 1/2 - 2*l**3 - 2*l = 0.
-1
Factor 7/4*m**2 - 15/2*m + 2.
(m - 4)*(7*m - 2)/4
Let n(o) be the third derivative of -1/120*o**5 + 0 - 1/480*o**6 + 0*o**4 + o**2 + 0*o + 0*o**3. Factor n(x).
-x**2*(x + 2)/4
Let h(z) be the second derivative of -1/30*z**5 + 0*z**2 + 0 - 3*z - 2/9*z**3 + 1/6*z**4. Find y such that h(y) = 0.
0, 1, 2
Let g(p) = 11*p**4 + p**3 - 54*p**2 + 140*p - 80. Let d(c) = -10*c**4 + 55*c**2 - 140*c + 80. Let h(q) = -6*d(q) - 5*g(q). Let h(w) = 0. Calculate w.
-4, 1, 2
Let i(o) = 6*o**5 - 2*o**4 + 6*o**3 - 6*o**2. Let l(h) = -h**5 - h**4 + h**2. Let a(z) = i(z) + 4*l(z). Factor a(b).
2*b**2*(b - 1)**3
Let t = 35/18 - 4/9. Solve -t - 3/2*h**2 - 3*h = 0.
-1
Suppose 0 = 4*s - 7*s + 12. Let n(l) be the third derivative of 0*l**3 + 0 + 0*l**s - l**2 + 1/90*l**5 + 0*l. Find q, given that n(q) = 0.
0
Let i = 9 - 5. Let g(d) = 2*d - 43. Let u be g(23). Solve 7/4*o**u - 3/4*o**2 - 3/4*o + 1/2 - 3/4*o**i = 0.
-2/3, 1
Suppose -3 - 5 = -4*b. Factor 0*g**3 + 2*g**b - 3*g**3 + 8*g - 4*g + g**3.
-2*g*(g - 2)*(g + 1)
Let n(j) be the third derivative of -j**9/18900 + j**7/1575 - j**5/150 + j**4/4 + 6*j**2. Let x(s) be the second derivative of n(s). Find g such that x(g) = 0.
-1, 1
Let t be (-3)/4 + 6/6. Suppose -2*a + 5 + 3 = 0. Factor t*p**2 + 1/4*p - 1/4*p**3 - 1/4*p**a + 0.
-p*(p - 1)*(p + 1)**2/4
Suppose 0 = -3*u - 3, -t + 4*u + 24 = 0. Let d = 22 - t. Factor 0 + 3/5*n**d + 0*n.
3*n**2/5
Let b be 6 - (-8)/(-5 - -1). Suppose i**3 + i + 6*i**4 - 3*i**5 + i - i**b - 5*i**2 = 0. Calculate i.
-1, 0, 2/3, 1
Let j(y) be the first derivative of y**6/24 - 3*y**5/20 - y**4/4 + 4*y**3/3 - 4*y - 13. Factor j