 second derivative of b(s). Factor x(c).
2*c*(c - 1)*(c + 1)**3
Let r(i) be the third derivative of i**7/42 - i**5/3 + 5*i**2 - i. Factor r(q).
5*q**2*(q - 2)*(q + 2)
Let -2 - y**4 - 8*y + 2*y**3 + 2 + 5 - 1 + 3*y**2 = 0. What is y?
-2, 1, 2
Let r(n) = 0*n**2 - 5*n**2 + 6*n**2 - 1. Let g(a) be the first derivative of -a**3 - 2*a**2 + 7*a - 1. Let i(x) = -g(x) - 5*r(x). What is c in i(c) = 0?
1
Solve 8/7 - 12/7*s - 4/7*s**2 + 12/7*s**3 - 4/7*s**4 = 0 for s.
-1, 1, 2
Let b(s) be the first derivative of -s**4/8 + s**3/2 - s**2/2 + 3. Factor b(l).
-l*(l - 2)*(l - 1)/2
Let x = -115 - -117. Factor 1/4*i + 0*i**x + 0 - 1/4*i**3.
-i*(i - 1)*(i + 1)/4
Let -3/2*b + 3/2*b**2 - 3 = 0. Calculate b.
-1, 2
Let a(r) be the second derivative of -r**5/70 - r**4/42 + 8*r**3/21 + 12*r**2/7 + 22*r. Let a(c) = 0. What is c?
-2, 3
Let 4/3 + 8/3*i**3 + 2*i**2 - 6*i = 0. What is i?
-2, 1/4, 1
Suppose h - 5*h = -2*m + 8, -h - 1 = 0. Factor -3*j**3 - 7*j - 6 - 8*j + 0*j**3 - 12*j**m.
-3*(j + 1)**2*(j + 2)
Let g be (5/2)/((-3)/(-6)). Suppose -2*n - 6 = -g*n. Suppose -2*a**2 - a + a + n = 0. Calculate a.
-1, 1
Suppose -3*c - 27 + 6 = -3*h, 31 = 3*h - 5*c. Let l(k) be the first derivative of 0*k - 8/15*k**5 + 8/9*k**6 + 3 + 0*k**h - 1/9*k**3 - 7/12*k**4. Factor l(p).
p**2*(p - 1)*(4*p + 1)**2/3
Let b be (4/10)/((-42)/(-60)). Factor 0 + 0*k**2 + b*k**3 + 0*k - 2/7*k**4.
-2*k**3*(k - 2)/7
Let v(y) = -y**3 + 5*y**2 + y - 5. Let w(g) = 2*g + 1. Let q be w(2). Let d be v(q). Find l such that -1/2*l**3 + 1/2*l**2 + d + 0*l = 0.
0, 1
Let p = 1 - 1. Suppose -4*v - u = -11, 3*v - u = 5*v - 7. Solve -l**2 + p*l**2 + v + 0*l**2 - 1 = 0 for l.
-1, 1
Suppose 4 = 4*y, -3*y + 1 - 4 = 3*z. Let v be (-6)/(-33) - z/(-11). Let -2*l**3 + 0*l + 4*l + v*l + 2 - 2*l - 2*l**2 = 0. Calculate l.
-1, 1
Let s(r) be the second derivative of -r**4/72 - r**3/9 - r**2/4 + 34*r. Factor s(q).
-(q + 1)*(q + 3)/6
Let x(y) be the second derivative of -y + 5/18*y**4 + 0 - 7/9*y**3 + 2/3*y**2. Factor x(p).
2*(p - 1)*(5*p - 2)/3
Suppose -6*a + 9*a - 9 = 0. Let w(v) be the second derivative of 0*v**2 - 1/18*v**a + 3*v + 0 - 1/36*v**4. Factor w(k).
-k*(k + 1)/3
Let j(s) = 11*s**4 - 18*s**3 - 47*s**2 + 95*s + 108. Let d(z) = -16*z**4 + 27*z**3 + 70*z**2 - 142*z - 162. Let u(q) = -5*d(q) - 7*j(q). Factor u(w).
3*(w - 3)**2*(w + 1)*(w + 2)
Suppose 5*i - 36 = 14. Let k = i + -28. Let u(n) = 3*n**4 + 27*n**3 + 27*n**2 + 3*n. Let w(a) = a**3 + a**2. Let s(p) = k*w(p) + u(p). Factor s(y).
3*y*(y + 1)**3
Let s(d) be the first derivative of -2*d**6 + 17*d**5/5 + 9*d**4/4 - 19*d**3/3 + 3*d**2/2 + 2*d - 4. Suppose s(z) = 0. What is z?
-1, -1/4, 2/3, 1
Let i(l) be the third derivative of l**8/2688 + l**7/1680 - l**6/320 - l**5/480 + l**4/96 - 2*l**2. Factor i(c).
c*(c - 1)**2*(c + 1)*(c + 2)/8
Let w(x) = -x**3 - 3*x. Let d(h) = -h. Let p(s) = -4*d(s) + w(s). Factor p(q).
-q*(q - 1)*(q + 1)
Let w(g) be the second derivative of 3/70*g**5 - 4/105*g**6 + 0 + 0*g**2 - 2*g + 2/21*g**3 + 3/14*g**4. Determine t so that w(t) = 0.
-1, -1/4, 0, 2
Let m(d) = d**3 - 2*d**2 + 5*d. Suppose 5*f + 2*u + 9 = 0, -7*f - u - 12 = -2*f. Let o(k) = -k**3 + 2*k**2 - 4*k. Let a(j) = f*m(j) - 4*o(j). Factor a(c).
c*(c - 1)**2
Suppose u + 6 = -z + 3*u, 2*u = 0. Let m(b) = b**2 + 1. Let k(g) = 9*g**2 + 5*g + 4. Let n(x) = z*m(x) + k(x). Solve n(c) = 0.
-2, 1/3
Let f(b) be the second derivative of 0 - 1/3*b**2 + 3*b - 1/8*b**4 + 1/3*b**3 + 1/60*b**5. Factor f(h).
(h - 2)**2*(2*h - 1)/6
Let z(f) be the first derivative of -f**6/25 + f**5/50 + f**4/10 - f**3/15 + f - 2. Let j(o) be the first derivative of z(o). Let j(c) = 0. Calculate c.
-1, 0, 1/3, 1
Let l(t) = -t**3 + 3*t**2 + 3*t + 7. Let q be l(5). Let y = 50 + q. Factor 1 + b**2 + 3 + 17*b**2 - y*b.
2*(b - 1)*(9*b - 2)
Let -5*u**3 + 3*u**3 + 4*u**2 + 3*u - 4 - u = 0. What is u?
-1, 1, 2
Let g(r) be the third derivative of r**8/112 - r**7/105 - r**6/30 + r**5/30 + r**4/24 - 5*r**2. Suppose g(m) = 0. What is m?
-1, -1/3, 0, 1
Let d(p) = p**2 + 7*p - 6. Let j = 5 + -13. Let s be d(j). Determine x so that 25*x**2 + 20*x + 1 + s + 1 = 0.
-2/5
Let k(b) be the first derivative of 0*b - 3/40*b**5 + 1/2*b**2 + 1 + 1/8*b**4 + 1/4*b**3. Let f(z) be the second derivative of k(z). Factor f(r).
-3*(r - 1)*(3*r + 1)/2
Factor 16*w + 19*w**3 - 34*w**5 + 4 + 7*w**4 + 68*w**5 - 33*w**5 + 25*w**2.
(w + 1)**3*(w + 2)**2
Suppose 2*w - 3*i = 13, 2*w + 5*i = 4*i + 1. Suppose -w*p - 1/3 - 5/3*p**2 = 0. What is p?
-1, -1/5
Factor 3/4*y**3 + 0*y + 0 + 0*y**2 - 3/4*y**4.
-3*y**3*(y - 1)/4
Let j(b) = -5*b**3 + b**2 + 2*b + 1. Let o be j(-1). Suppose -21 + 6 = -o*d. Factor -10*c**3 + 18*c**d + 6*c + 28*c**3 + 27*c**2 + 15*c**4.
3*c*(c + 1)**2*(5*c + 2)
Let c(g) be the first derivative of g**6/24 - g**5/20 - 3*g**4/8 - g**3/6 + 5*g**2/8 + 3*g/4 + 28. Factor c(x).
(x - 3)*(x - 1)*(x + 1)**3/4
Let z(n) be the first derivative of 6 + n + 1/9*n**3 - 5/6*n**2 + 1/12*n**4. Factor z(o).
(o - 1)**2*(o + 3)/3
Factor -5 + 2*x**2 - 5*x - x**2 - 4*x + 5*x.
(x - 5)*(x + 1)
Let d(u) = -u**2 + 1. Let g(v) = 4*v**4 - 8*v**3 - 10*v**2 + 16*v + 14. Let m(j) = 2*d(j) + g(j). Factor m(f).
4*(f - 2)**2*(f + 1)**2
Let p be -1*0/(-1 + -2). Factor p*l**2 - 4/7*l**3 + 4/7*l - 2/7 + 2/7*l**4.
2*(l - 1)**3*(l + 1)/7
Let t(w) be the second derivative of 2*w**6/15 - w**5/5 - w**4/3 + 2*w**3/3 + 3*w - 5. Factor t(g).
4*g*(g - 1)**2*(g + 1)
Let w(x) be the third derivative of 0 - 6*x**2 + 0*x + 8/3*x**3 + 4/3*x**4 - 1/3*x**5. Determine u so that w(u) = 0.
-2/5, 2
Let x(h) = -3*h**2 - 16*h + 14. Let u be x(-6). Suppose -b - 2 = -5. Factor -3/2*l**b + l - 1/2*l**u + 0.
-l*(l + 1)*(3*l - 2)/2
Let f be (-4)/(-14)*(-7)/85. Let p = f - -176/255. Solve -2/9 - 2/3*y**2 + 2/9*y**3 + p*y = 0.
1
Let i = 144 + -144. Factor i - 3/5*k**2 - 3/5*k.
-3*k*(k + 1)/5
Suppose 2*m = 5 + 3. Factor -5/4*n**3 + 1/2 - 7/4*n + 9/4*n**2 + 1/4*n**m.
(n - 2)*(n - 1)**3/4
Factor 2/9*i - 2/3*i**2 + 4/9 + 2/9*i**4 - 2/9*i**3.
2*(i - 2)*(i - 1)*(i + 1)**2/9
Factor 2/5*h**2 + 3/5 - 6/5*h**3 - h**4 - 1/5*h**5 + 7/5*h.
-(h - 1)*(h + 1)**3*(h + 3)/5
Let f(q) = 3*q**5 + 3*q**4 + 6*q**3 - 6*q**2 + 3*q + 9. Let b(d) = -d**5 - d - 1. Let r(k) = 6*b(k) + f(k). Find i such that r(i) = 0.
-1, 1
Let a = -10237/7 - -1465. Factor -4/7*v - 24/7*v**3 + a*v**2 + 0 + 10/7*v**4.
2*v*(v - 1)**2*(5*v - 2)/7
Let r(c) be the second derivative of -c**7/420 + c**5/60 - c**3/12 + c**2 - 4*c. Let n(w) be the first derivative of r(w). Find g such that n(g) = 0.
-1, 1
Let y(x) be the third derivative of x**6/60 + 3*x**5/10 + 9*x**4/4 + 9*x**3 + 2*x**2. Solve y(i) = 0.
-3
Let x = 6 + -4. Solve 0*s**4 - 2*s**4 - 3*s**3 + x*s**3 - 2*s**5 + s**5 = 0.
-1, 0
Let n = 12 - 7. Let a(y) be the third derivative of 0 + 0*y**n - y**2 + 0*y**3 + 0*y + 1/480*y**6 + 0*y**4. Determine z so that a(z) = 0.
0
Let o(c) = -6*c**3 - 13*c**2 - 29*c + 11. Let d(u) = 3*u**3 + 6*u**2 + 15*u - 6. Let j(v) = 11*d(v) + 6*o(v). Determine a so that j(a) = 0.
-3, -1, 0
Let v(n) be the first derivative of -1/4*n**4 - 1/3*n**3 + n**2 + 0*n - 2. Suppose v(y) = 0. Calculate y.
-2, 0, 1
Let y(r) be the third derivative of 2/9*r**3 - 1/180*r**6 + 1/36*r**4 + 0 + 0*r + 6*r**2 - 1/45*r**5. Factor y(d).
-2*(d - 1)*(d + 1)*(d + 2)/3
Let p be (-1 - (-6)/(-2))*-1. Suppose 4*g = v, -g - 8 - 7 = -p*v. Factor 0*d**2 - d**2 - 5*d**2 - v + 6*d**3 + 9*d**4 - 9*d + 3*d**5 + 1.
3*(d - 1)*(d + 1)**4
Suppose 0 = -5*h + 8 + 7. Let x be (-1 - 24/(-9))*h. Factor -2*p**3 + 8*p - 3*p + 3*p**3 + 3*p - 4 - x*p**2.
(p - 2)**2*(p - 1)
Let v(l) be the first derivative of 27/5*l**5 - 3*l + l**3 - 117/8*l**4 + 27/4*l**2 + 8. Determine u, given that v(u) = 0.
-1/2, 1/3, 2
Let k(t) be the first derivative of t**5/10 - 3*t**4/8 - t**3 + 2*t**2 + 7. Factor k(o).
o*(o - 4)*(o - 1)*(o + 2)/2
Let b(n) be the third derivative of n**5/45 + n**4/3 + 2*n**3 + 4*n**2. Factor b(q).
4*(q + 3)**2/3
Let k(p) be the second derivative of -2*p**6/15 + 6*p**5/5 - 4*p**4 + 16*p**3/3 - 8*p. Let k(h) = 0. Calculate h.
0, 2
Suppose 0 = -3*o + 5*o - 8. Suppose -4*z - 7 = -0*q + q, 4*z = o*q - 12. Suppose -3*w + 2*w**2 - 5 + 5*w + q = 0. Calculate w.
-2, 1
Let d(q) be the second derivative of -1/30*q**4 - q + 0 + 0*q**2 - 1/15*q**3. Determine i, given that d(i) = 0.
-1, 0
Suppose -2*u - 19 = 1. Let g = u - -10