e second derivative of i(p). Factor j(u).
-3*u*(u - 4)
Let q(m) = -18*m**2 + 43*m - 64. Let s(i) = -100*i**2 + 236*i - 352. Let h(r) = 28*q(r) - 5*s(r). Factor h(x).
-4*(x - 4)*(x - 2)
Let x(j) be the first derivative of 8*j**5/5 - 3*j**4 + 2*j**2 - 86. Suppose x(r) = 0. Calculate r.
-1/2, 0, 1
Suppose 2*r = -r - 36. Let x be (-3)/(r/16*1). Let v(i) = -16*i**2 + 24*i - 4. Let u(s) = -s**3 + 48*s**2 - 71*s + 13. Let t(b) = x*u(b) + 11*v(b). Factor t(p).
-4*(p - 2)*(p - 1)**2
Find v such that 0*v**2 + 0 - 2/9*v**5 + 26/9*v**4 + 0*v - 8/3*v**3 = 0.
0, 1, 12
Suppose 15*n - 32*n = 29*n. Let k(t) be the second derivative of 0*t**2 - t + 2/5*t**5 + 7/12*t**4 + 1/3*t**3 + 1/10*t**6 + n. Factor k(x).
x*(x + 1)**2*(3*x + 2)
Let q(p) = p**3 - 10*p**2 - p + 12. Let z be q(10). Factor -10*b**2 - 10 + 12*b - 11*b**2 + 19*b**z.
-2*(b - 5)*(b - 1)
Let w(g) be the third derivative of g**5/75 - g**4/2 + 52*g**3/15 + 63*g**2. Factor w(y).
4*(y - 13)*(y - 2)/5
Let o(f) = 39*f**3 - 3762*f**2 - 6315*f - 2586. Let m(j) = -11*j**3 + 1075*j**2 + 1804*j + 739. Let i(w) = -24*m(w) - 7*o(w). Factor i(g).
-3*(g - 61)*(g + 1)*(3*g + 2)
Let m be 72/27*2/(4/3). Let z(g) be the second derivative of 0 - m*g**3 + 6*g**2 - 5/4*g**4 - g. Let z(k) = 0. Calculate k.
-2, 2/5
Let p(i) be the third derivative of -i**6/240 + i**5/40 - i**4/16 - 11*i**3/3 - 5*i**2. Let r(v) be the first derivative of p(v). Suppose r(j) = 0. What is j?
1
Factor 62*b + 181*b + 3*b**4 + 57*b**3 - 297*b**2 - 6*b**4 + 0*b**4.
-3*b*(b - 9)**2*(b - 1)
Let v(g) be the third derivative of g**7/420 + 7*g**6/180 + g**5/4 + 3*g**4/4 + 8*g**3/3 - 15*g**2. Let k(f) be the first derivative of v(f). Solve k(j) = 0.
-3, -1
Suppose x - 5*x = 0. Let n be ((-84)/70)/((-3)/5). Factor -3/4*q**5 + 0*q + x + 0*q**4 + 3/4*q**3 + 0*q**n.
-3*q**3*(q - 1)*(q + 1)/4
Let s(b) be the second derivative of -b**6/35 + b**5/14 + 4*b**4/21 - 28*b. What is m in s(m) = 0?
-1, 0, 8/3
Let d = -1452 + 1456. Let w(j) be the third derivative of 0*j + 1/12*j**d + 1/3*j**3 + 1/120*j**5 + 8*j**2 + 0. Factor w(o).
(o + 2)**2/2
Let x be 1 - 56/(-6) - 10/(-15). Let i(z) = -z**3 + 11*z**2 + 3. Let s be i(x). Factor 1/3*b**s + 0*b**2 + 0 + 0*b.
b**3/3
Let i be ((-8)/14)/(-13 + 845/91). Suppose -i*f**3 + 0*f**2 + 6/13*f - 4/13 = 0. What is f?
-2, 1
Let f = -13124 + 13127. Let u = 104 + -512/5. Suppose u*t - 4/5*t**2 - 16/15 + 2/15*t**f = 0. What is t?
2
Let r be 5/(-140) + 2890/952. Factor -1/2*d**r + 1/2 + 1/2*d - 1/2*d**2.
-(d - 1)*(d + 1)**2/2
Let i(b) be the second derivative of 0*b**2 + 0*b**3 + 9/4*b**4 + 24*b + 3/20*b**5 + 0. Factor i(p).
3*p**2*(p + 9)
Let x(a) be the third derivative of -a**6/1440 - a**5/240 - a**4/96 + a**3/3 - 4*a**2. Let t(g) be the first derivative of x(g). Factor t(z).
-(z + 1)**2/4
Let p = 4 - 1. Solve -6*a**p + 4*a**3 + 4*a - 2*a**3 = 0 for a.
-1, 0, 1
Let r(k) = 3*k**2 + 9*k + 3. Let b(p) = -3*p**2 - 9*p - 2. Let u(l) = 3*b(l) + 4*r(l). What is i in u(i) = 0?
-2, -1
Let h(s) be the third derivative of -s**7/315 - 13*s**6/180 + 29*s**5/90 - 5*s**4/12 - 188*s**2. Factor h(o).
-2*o*(o - 1)**2*(o + 15)/3
Let r(p) be the third derivative of 0 + 1/10*p**5 + 0*p + 1/210*p**7 - 1/30*p**6 - 1/6*p**4 - 20*p**2 + 1/6*p**3. Factor r(b).
(b - 1)**4
Let a(n) = 8*n**2 - 99*n - 65. Let h be a(13). Factor h*c**2 - 1/2*c**3 + 0 + 1/2*c.
-c*(c - 1)*(c + 1)/2
Suppose 10 + 2 = s. Suppose -z = -5*z + s. Determine t so that -1/5*t - 1/5*t**5 + 4/5*t**4 + 4/5*t**2 + 0 - 6/5*t**z = 0.
0, 1
Let k(i) = -165*i**2 - 181*i - 22. Let x(f) = 495*f**2 + 542*f + 64. Let n(q) = -17*k(q) - 6*x(q). Let n(j) = 0. What is j?
-1, -2/33
Let a(r) be the first derivative of -10/3*r**2 + 56/3*r + 40 - 4/9*r**3. Determine f so that a(f) = 0.
-7, 2
Let f be 48/(-7) - (17 - 5 - 20). Factor -f - 6/7*x + 2/7*x**2.
2*(x - 4)*(x + 1)/7
Let o be 8 - ((-1914)/(-120) + -8). Let w(f) be the first derivative of -1/4*f**4 - 1/2*f**2 - o*f**5 - 1/2*f**3 - 1/4*f + 1. Factor w(g).
-(g + 1)**4/4
Factor 9/4*k - 3/2*k**2 + 1/4*k**3 - 1.
(k - 4)*(k - 1)**2/4
Let o(l) be the second derivative of 0 + 0*l**3 + 0*l**2 + l**4 + 3*l**5 + 9*l + 21/10*l**6. Solve o(h) = 0 for h.
-2/3, -2/7, 0
Let d(p) = 2*p**2 - 10. Let v(b) = b**2 + 0 - 2 - 82*b + 82*b. Let f(u) = -d(u) + 5*v(u). What is l in f(l) = 0?
0
Let b(f) be the second derivative of -f**6/20 - 27*f**5/80 - 3*f**4/4 - f**3/2 + 99*f. Determine r, given that b(r) = 0.
-2, -1/2, 0
Let v be 20/(-5) - -2*3. Factor -25*j**2 - 29*j**v - 19*j**2 - 5*j**3 + 53*j**2.
-5*j**2*(j + 4)
Let a = 3285/2 + -9851/6. Factor 8/3 - 4/3*j**3 + 8/3*j - 2*j**2 + a*j**4.
2*(j - 2)**2*(j + 1)**2/3
Factor 1/6*i**3 + 0*i - 5/6*i**2 + 0.
i**2*(i - 5)/6
Let q be 414/(-759) + 124/66. Factor -1/3*u**3 - q*u**2 + 1/3*u + 4/3.
-(u - 1)*(u + 1)*(u + 4)/3
Let o(q) be the third derivative of q**7/70 + q**6 - 63*q**5/10 + 16*q**4 - 43*q**3/2 - 170*q**2. Factor o(i).
3*(i - 1)**3*(i + 43)
Let z = 631 + -376. Let m = z - 764/3. Suppose -1/3*c**2 - m*c**4 + c + 2/3 - c**3 = 0. What is c?
-2, -1, 1
Suppose 6*v - 180 = 72. Let y be (v/(-12) + 3)*0/(-1). Factor y - 2/3*g - 2/3*g**4 + 2/3*g**2 + 2/3*g**3.
-2*g*(g - 1)**2*(g + 1)/3
Let b(z) be the first derivative of -z**5/25 - 2*z**4/5 - 2*z**3/15 + 8*z**2 + 15*z + 399. Factor b(c).
-(c - 3)*(c + 1)*(c + 5)**2/5
Factor 1/10*h**3 - 275684/5 - 123/5*h**2 + 10086/5*h.
(h - 82)**3/10
Let g be 3/6 + (-12)/(-8). Let k be -2 - 4/g*-2. Let 9*y**2 + 5*y**2 + 2*y**3 - 8*y**k - 3*y**4 - 5*y**3 = 0. Calculate y.
-2, 0, 1
Factor 0 - 1/2*h + 3/2*h**2.
h*(3*h - 1)/2
Factor -73*u**2 - 2*u**3 + 30*u**2 - 59*u**2.
-2*u**2*(u + 51)
Let j(k) be the first derivative of -k**8/1680 + k**6/90 - 8*k**3/3 + 37. Let d(b) be the third derivative of j(b). Determine s, given that d(s) = 0.
-2, 0, 2
Let c(q) be the first derivative of q**5/20 - 5*q**4/4 + 25*q**3/2 - 125*q**2/2 - 7*q + 6. Let r(o) be the first derivative of c(o). Factor r(z).
(z - 5)**3
Let f(h) be the second derivative of -48841*h**4/36 + 221*h**3/9 - h**2/6 - 8*h + 20. Suppose f(g) = 0. Calculate g.
1/221
Let y(u) be the third derivative of -u**11/1496880 + u**10/226800 - u**9/136080 - 13*u**5/60 + 5*u**2. Let v(p) be the third derivative of y(p). Factor v(a).
-2*a**3*(a - 2)*(a - 1)/9
Let s be ((-3)/108)/(150/(-45)). Let g(c) be the second derivative of -6*c + 0*c**2 + 1/48*c**4 - 1/40*c**5 + 0*c**3 + 0 + s*c**6. Let g(w) = 0. What is w?
0, 1
Let i(q) be the second derivative of -q**9/22680 + q**8/2880 - q**7/1080 + q**6/1080 - q**4/6 + q. Let g(a) be the third derivative of i(a). Factor g(u).
-u*(u - 2)*(u - 1)*(2*u - 1)/3
Let z(t) be the second derivative of 0*t**2 + 1/18*t**4 + 1/3*t**3 + 0 - 2*t. Find g, given that z(g) = 0.
-3, 0
Let i(c) be the first derivative of c**6/200 - c**4/10 - 33*c**2/2 + 19. Let n(x) be the second derivative of i(x). Factor n(q).
3*q*(q - 2)*(q + 2)/5
Let v(j) be the third derivative of 1/5*j**5 + 1/90*j**6 + 0 - 11*j**2 + 0*j - 2/315*j**7 + 8/9*j**3 + 11/18*j**4. Factor v(u).
-4*(u - 4)*(u + 1)**3/3
Let h be 4/(-18) + (-714)/(-54). Let y = -11 + h. Suppose -14*b**4 - 7*b**3 + 3*b**y + b**3 + 17*b**4 = 0. Calculate b.
0, 1
Let p = -652 + 652. Let z(j) be the third derivative of 7/15*j**5 - 8/3*j**3 - 1/6*j**6 + p*j - 10*j**2 + 0 + 4/3*j**4. Factor z(t).
-4*(t - 2)*(t + 1)*(5*t - 2)
Factor -38*i + 10*i**2 - 61*i + 45*i - 243 - 13*i**2.
-3*(i + 9)**2
Solve 0*t**4 - 6*t - 7*t**2 + 159*t**3 + t**4 - 159*t**3 = 0.
-2, -1, 0, 3
Suppose -9 = -2*s + 13. Suppose -t + s = -4. Factor 3*j + 12*j**2 + 0*j - t*j**2.
-3*j*(j - 1)
Suppose -10*f = -36 - 24. Factor 7 - 6*u + 9*u**2 - f*u**2 - 4*u**2.
-(u - 1)*(u + 7)
Let r(h) be the second derivative of h**7/3360 - h**6/1440 + h**3/3 + 25*h**2/2 + 5*h. Let q(v) be the second derivative of r(v). Factor q(y).
y**2*(y - 1)/4
Let a(v) be the second derivative of 3/2*v**2 + 15*v + 0*v**5 - 5/16*v**4 + 1/40*v**6 + 0 + 0*v**3. Find x, given that a(x) = 0.
-2, -1, 1, 2
Let k(v) be the second derivative of v**4/8 - 7*v**3/16 - 3*v**2/8 - 71*v. Solve k(m) = 0 for m.
-1/4, 2
Let u(d) = 13*d**2 - 12*d - 13. Let f(z) = -11*z**2 + 11*z + 12. Let l(s) = -7*f(s) - 6*u(s). Factor l(x).
-(x + 2)*(x + 3)
Let g(v) be the first derivative of -10*v**3/3 + 7*v**2/2 + 10*v - 15. Let t = -13 - -8. Let j(h) = -7*h**2 + 5*h + 7. Let a(m) = t*g(m)