**4/24 + j**2. Let h(o) be the second derivative of w(o). Solve h(z) = 0 for z.
0, 1
Factor -150*i**3 - 7*i**4 - 15*i + 164*i**3 + i**5 + 9 + 2*i - 2*i**2 - 2*i.
(i - 3)**2*(i - 1)**2*(i + 1)
Let c(y) be the third derivative of y**8/50400 + y**7/6300 + y**6/1800 - y**5/15 + 4*y**2. Let u(t) be the third derivative of c(t). Factor u(w).
2*(w + 1)**2/5
Let w = 1 + 5. Let a be 5/(135/w)*3. Find v, given that 1/3 + 1/3*v**2 + a*v = 0.
-1
Let q(n) be the third derivative of n**8/20160 - n**7/3780 + n**6/2160 - 5*n**4/24 + n**2. Let d(y) be the second derivative of q(y). Solve d(u) = 0.
0, 1
Let a(w) be the second derivative of -w**7/273 - 4*w**6/195 - 2*w**5/65 + w**4/39 + 5*w**3/39 + 2*w**2/13 - 5*w. Suppose a(l) = 0. Calculate l.
-2, -1, 1
Suppose -2/9*m + 2/3*m**2 + 2/9*m**3 - 2/3 = 0. Calculate m.
-3, -1, 1
Determine u so that 0 + 1/6*u**3 + 1/6*u**2 + 0*u = 0.
-1, 0
Let u(q) = q**2 - q - 2. Let y be u(4). Suppose -3*b + 8*b - y = 0. Factor 3*j**4 + 5*j**b - 3*j**2 - 5*j**4.
-2*j**2*(j - 1)*(j + 1)
Let l(d) be the second derivative of d**6/1260 + d**5/420 - d**3/6 - 2*d. Let s(t) be the second derivative of l(t). Let s(o) = 0. Calculate o.
-1, 0
Let j(r) = 29*r**3 - 2*r**2 + r. Let m be j(1). Let f be m/(-18) + 12/6. Factor f*v + 0 + 2/9*v**2.
2*v*(v + 2)/9
Let j(q) = 110*q**2 + 200*q - 705. Let y(t) = 5*t**2 + 9*t - 32. Let r(l) = -2*j(l) + 45*y(l). Find s such that r(s) = 0.
-3, 2
Let l = 13 + -8. Let a(f) be the first derivative of -2 + 0*f + 2/35*f**l - 1/7*f**2 - 2/21*f**3 + 1/14*f**4. What is q in a(q) = 0?
-1, 0, 1
Suppose 1 = -5*u + 21. Solve z + 4 + 10*z + 5*z + 12*z**2 + u*z**2 = 0 for z.
-1/2
Let a(z) = -3*z**2 + 8*z - 8. Let w(k) = -2*k**2 + 5*k - 5. Suppose -5*u = -6*u + 40. Suppose -q - u = 4*q. Let m(r) = q*w(r) + 5*a(r). Factor m(g).
g**2
Let d(n) be the second derivative of -n**9/1512 + n**8/504 - n**7/1260 - n**6/540 - n**3/6 - 3*n. Let p(k) be the second derivative of d(k). Factor p(z).
-2*z**2*(z - 1)**2*(3*z + 1)/3
Let x(h) = h**2 - 9*h + 17. Let m be x(5). Let a be ((-3)/(-54))/(m/(-48)). Factor -a*s**2 - 2/9 + 10/9*s.
-2*(s - 1)*(4*s - 1)/9
Let o(m) be the second derivative of m**4/24 + m**3/6 + m**2/4 - 5*m. Solve o(b) = 0.
-1
Let b = -2 - -7. Let i = 8 - b. Let q**2 - 2*q**2 + q**3 + 0*q**i = 0. What is q?
0, 1
Factor -5*r**4 - 4*r - r**3 + 3*r**4 + r**4 - 4*r**3 - 8*r**2.
-r*(r + 1)*(r + 2)**2
Suppose -11 + 2 = -3*o, -m + 3*o = 6. Factor -p + 0 + p**2 + 0 + p**m - 1.
(p - 1)*(p + 1)**2
Let m(f) be the second derivative of -2*f**7/21 + 2*f**6/5 - 3*f**5/5 + f**4/3 + f. Factor m(a).
-4*a**2*(a - 1)**3
Determine x so that -48 + 72*x - 46*x**2 + 91*x**2 - 3*x**3 + 9*x**3 = 0.
-4, 1/2
Let n(c) be the third derivative of c**8/42 + 38*c**7/105 + 17*c**6/20 + 49*c**5/60 + c**4/3 - 11*c**2 + 2*c. Factor n(l).
l*(l + 8)*(2*l + 1)**3
Find o, given that 10/9*o**2 + 14/9*o**3 + 0 - 4/9*o = 0.
-1, 0, 2/7
Let a(y) = -2 - 3*y - 9*y**2 + 6 + 0 + 1. Let b(g) = -8*g**2 - 2*g + 4. Let q(n) = 6*a(n) - 7*b(n). Solve q(p) = 0 for p.
1
Suppose 4 = 2*s + 4*f, -4*s = -3*f + 71 - 24. Let h be -3 + (-22)/s + 1. Factor 3/2 + 9/4*k + h*k**2.
3*(k + 1)*(k + 2)/4
Let c(v) be the second derivative of v**6/45 + 2*v**5/15 + 5*v**4/18 + 2*v**3/9 + 5*v. Let c(z) = 0. What is z?
-2, -1, 0
Factor -1/5 + 0*m + 1/5*m**2.
(m - 1)*(m + 1)/5
Suppose 4 = 4*x - 16. Solve 4*p + p**4 + x*p**3 + 8*p**2 - 5*p + 5*p = 0.
-2, -1, 0
Let o(a) be the second derivative of a**5/100 - a**3/10 - a**2/5 - a. Solve o(k) = 0 for k.
-1, 2
Let a(r) be the third derivative of -2*r**7/105 - r**6/15 - r**5/15 + 8*r**2. Factor a(p).
-4*p**2*(p + 1)**2
Suppose -5*p = -4*t - 0*p + 19, 3*t + 3*p = -6. Let c be t/3 + (-5)/60. Factor c*r - 1/4*r**4 + 0 + 3/4*r**3 - 3/4*r**2.
-r*(r - 1)**3/4
Let v(k) be the second derivative of k**8/1680 + k**7/525 + k**6/600 - 3*k**2/2 + 2*k. Let x(t) be the first derivative of v(t). Suppose x(a) = 0. Calculate a.
-1, 0
Let r(o) = -3*o - 43. Let d(f) = -2*f - 29. Let z(u) = -7*d(u) + 5*r(u). Let j be z(-14). Solve 8/11 - 30/11*n**3 + 62/11*n**j - 40/11*n = 0.
2/5, 2/3, 1
Let r be (1/((-64)/12))/((-18)/8). Let j(y) be the second derivative of 1/24*y**4 + 0*y**2 + r*y**3 + 0 + y. Solve j(s) = 0 for s.
-1, 0
Suppose 0 = -2*c - 4*s + 14, c - 2*s - 3 = -0. Let r(d) be the first derivative of 0*d**3 - 3 + 0*d + 7/15*d**6 + 0*d**4 + 4/25*d**c + 0*d**2. Factor r(x).
2*x**4*(7*x + 2)/5
Let x(h) = 4*h**2 - 3*h + 5. Let s(r) = 1 + r**2 + 0 + 0. Let g(u) = -6*s(u) + 2*x(u). Factor g(o).
2*(o - 2)*(o - 1)
Let s(o) be the second derivative of -o**4/34 + 5*o**3/51 + 2*o**2/17 + 9*o. Find r such that s(r) = 0.
-1/3, 2
Let x be (-5)/(250/(-15))*16/12. Factor 2/5*d - 2/5 - 2/5*d**3 + x*d**2.
-2*(d - 1)**2*(d + 1)/5
Let d(f) be the second derivative of -4*f + 0*f**2 + 1/4*f**4 + 1/20*f**5 + 1/3*f**3 + 0. Factor d(m).
m*(m + 1)*(m + 2)
Determine k so that -6*k**5 - 6*k**4 - 2*k**3 - 2*k**5 + 10*k**5 + 6*k**2 = 0.
-1, 0, 1, 3
Let a(v) be the second derivative of -v**7/735 - v**6/105 - v**5/42 - v**4/42 - v**2/2 + v. Let i(z) be the first derivative of a(z). Factor i(r).
-2*r*(r + 1)**2*(r + 2)/7
Let j(u) be the third derivative of -u**2 + 0 - 1/40*u**5 - 1/140*u**7 + 0*u - 3/16*u**4 + 3/80*u**6 + 1/2*u**3. Let j(h) = 0. What is h?
-1, 1, 2
Let i(n) = -n**2 + 12*n - 9. Let f be i(11). Determine p, given that 0 + 1/2*p**f + 1/2*p = 0.
-1, 0
Suppose 5*i - 4*a = -7*a + 22, 2*a - 4 = 2*i. Factor 0*y - 1/2*y**i - 1/4*y**3 + 0.
-y**2*(y + 2)/4
Let t(o) be the second derivative of -o**7/5040 + o**5/240 - o**4/4 + 6*o. Let j(u) be the third derivative of t(u). Determine v, given that j(v) = 0.
-1, 1
Solve -3/4*d**5 - 3/4*d - 3*d**4 + 0 - 9/2*d**3 - 3*d**2 = 0 for d.
-1, 0
Suppose -8 = 2*w - 22. Let u = w + -4. Factor -1/2*z - 3*z**u - 2*z**4 - 1/2*z**5 + 0 - 2*z**2.
-z*(z + 1)**4/2
Factor 10*g**4 + 12*g + 5*g**4 - 22*g**3 + 12*g**2 - 9*g**3 - 8*g**3.
3*g*(g - 2)*(g - 1)*(5*g + 2)
Let c(j) = 3*j**2 - 18*j + 36. Let a(q) = -1. Let d(x) = -9*a(x) - c(x). Suppose d(s) = 0. Calculate s.
3
Let d(o) = -o**3 + 5*o**2 - 2*o + 1. Let k(v) = -2*v**3 + 6*v**2 - 2*v + 2. Let y(c) = -4*d(c) + 3*k(c). Factor y(u).
-2*(u - 1)*(u + 1)**2
Factor -5*l - 8*l**2 + 1 - 5*l + 11*l + 6*l.
-(l - 1)*(8*l + 1)
Let m = 3 + -1. Let h**m - 3*h**2 + 2*h**2 + 3*h**2 - 1 + 2*h = 0. What is h?
-1, 1/3
Let 8/5*p**4 + 0 + 4/5*p**2 + 2/5*p - 14/5*p**3 = 0. What is p?
-1/4, 0, 1
Let x(d) be the third derivative of d**8/6720 + d**7/1260 + d**6/720 + d**4/12 + 2*d**2. Let q(l) be the second derivative of x(l). Factor q(b).
b*(b + 1)**2
Let a = -4 + 48. Let k = -131/3 + a. Find v such that 0*v + 0 - k*v**2 = 0.
0
Let f(i) = i - 2. Let c be f(5). Factor -1/3*x**2 - 1/3*x**c + 0 + 0*x.
-x**2*(x + 1)/3
Let r = 12 + -8. Let c(s) be the third derivative of -2*s**2 + 1/60*s**5 + 0*s + 0*s**3 + 0 + 0*s**r. Suppose c(n) = 0. Calculate n.
0
Let i(o) be the first derivative of -o**5/105 - o**4/28 - o**3/21 - 5*o**2/2 + 3. Let g(s) be the second derivative of i(s). Find k such that g(k) = 0.
-1, -1/2
Let k(l) be the first derivative of 4*l**3/21 - 12*l**2/7 + 36*l/7 + 18. Factor k(x).
4*(x - 3)**2/7
Let r(g) be the third derivative of -g**6/480 + g**5/160 + g**4/16 - g**3/6 + g**2. Let n(j) be the first derivative of r(j). Factor n(p).
-3*(p - 2)*(p + 1)/4
Let b be ((-1)/(4/28))/(-3). Find r, given that b*r**2 + 0 + 2/3*r = 0.
-2/7, 0
Let y(i) be the second derivative of i**8/2520 - i**7/630 + i**6/540 - i**3/2 + 2*i. Let a(b) be the second derivative of y(b). Let a(p) = 0. What is p?
0, 1
Suppose 2*s + 4 + 1/4*s**2 = 0. What is s?
-4
Let u(a) = -8*a**4 - 8*a**3 + 25*a**2 + 9. Let p(v) = 2*v**4 + 2*v**3 - 6*v**2 - 2. Let m(z) = 18*p(z) + 4*u(z). Suppose m(i) = 0. Calculate i.
-2, 0, 1
Let a = -6 + 0. Let o(p) = p**5 - 2*p**4 + 6*p**3 + 5*p**2 - 5*p. Let c(u) = -u**5 + 2*u**4 - 7*u**3 - 6*u**2 + 6*u. Let m(k) = a*o(k) - 5*c(k). Factor m(f).
-f**3*(f - 1)**2
Let n(p) = p**3 - 9*p**2 + 15*p - 3. Let s be n(7). Let f(t) be the first derivative of 1/3*t**2 + 0*t + 1/2*t**s + 8/9*t**3 - 1. Suppose f(d) = 0. Calculate d.
-1, -1/3, 0
Let x(j) be the second derivative of -9*j**5/35 - 10*j**4/7 - 8*j**3/3 - 16*j**2/7 - 22*j. Factor x(s).
-4*(s + 2)*(3*s + 2)**2/7
Let h(z) be the second derivative of -z**4/12 + z**3/3 - z**2/2 - 10*z. Factor h