 2*p**5 + 5*p**2.
2*p**2*(p - 1)**2*(p + 1)
Let j(g) be the third derivative of -1/5*g**3 + 0*g - 1/40*g**4 + 1/100*g**5 + 0 - 4*g**2. Find x such that j(x) = 0.
-1, 2
Let j = -1/181 - -548/905. Let -1/5*d**4 - 2/5 + 1/5*d**3 + j*d**2 - 1/5*d = 0. What is d?
-1, 1, 2
Let w(c) = -c**2 - c - 1. Let n(x) = x + 3. Let o be n(0). Let t(v) = v - 1. Let f(g) = o*w(g) - 3*t(g). Factor f(s).
-3*s*(s + 2)
Let y(d) be the first derivative of -7*d**6/120 + d**5/12 + d**4/12 + 3*d**2/2 - 3. Let c(m) be the second derivative of y(m). What is p in c(p) = 0?
-2/7, 0, 1
Suppose 2*d - 3 - 9 = 0. Let a(v) be the third derivative of 1/30*v**d - 3*v**2 - 1/120*v**5 - 1/84*v**7 + 0*v**3 + 0 + 0*v - 1/24*v**4. Factor a(n).
-n*(n - 1)**2*(5*n + 2)/2
Let u(s) = 2*s**2 - 8*s. Let t(v) = 5*v**2 - 17*v. Let h(z) = 4*t(z) - 9*u(z). Factor h(p).
2*p*(p + 2)
Let x(b) be the first derivative of -21*b**5/20 + 57*b**4/16 - 15*b**3/4 + 3*b**2/8 + 3*b/2 + 9. Solve x(h) = 0 for h.
-2/7, 1
Let l(d) = -15*d**2 - 17*d - 16. Let i(h) = -7*h**2 - 9*h - 8. Let z = -2 - -9. Let q(y) = z*i(y) - 3*l(y). Factor q(w).
-4*(w + 1)*(w + 2)
Let t(l) be the first derivative of 9/8*l**4 - 1/2*l**3 + 5 + 0*l**2 + 0*l. Determine n so that t(n) = 0.
0, 1/3
Let m(n) be the first derivative of 5*n**3/3 - 10*n**2 + 20*n + 10. What is i in m(i) = 0?
2
Let x(m) be the third derivative of m**8/1680 - m**7/1050 - 6*m**2. Suppose x(q) = 0. What is q?
0, 1
Let 12*b**5 + 10*b**2 - 3*b**5 - 6*b**4 - 9*b**3 - 4*b**2 = 0. Calculate b.
-1, 0, 2/3, 1
Let d(o) = o**2 + 12*o + 16. Let s be d(-11). Factor -3*g**3 + 2*g**5 + 5*g**4 + g**4 - 5*g**s.
-3*g**3*(g - 1)**2
Suppose 10*y = 8*y + 4. Let k(q) be the first derivative of 1 - y*q - q**2 - 1/6*q**3. Factor k(j).
-(j + 2)**2/2
Let j(z) be the second derivative of z**7/21 + z**6/5 + z**5/10 - z**4/2 - 2*z**3/3 - z. Factor j(u).
2*u*(u - 1)*(u + 1)**2*(u + 2)
Suppose -58/19*q**2 + 30/19*q - 10/19*q**4 - 4/19 + 42/19*q**3 = 0. What is q?
1/5, 1, 2
Suppose -6*p = -3*p + 54. Let h(m) = 5*m**4 + 4*m**2 - 9. Let x(b) = b**4 + b**2 - 2. Let j(u) = p*x(u) + 4*h(u). Find v, given that j(v) = 0.
-1, 0, 1
Let r(x) be the first derivative of -x**6/2 - 9*x**5/5 - 3*x**4/4 + 3*x**3 + 3*x**2 - 7. Let r(v) = 0. Calculate v.
-2, -1, 0, 1
Let t be 4/(-10) + 2/5. Let d(w) be the second derivative of 0*w**2 + 1/24*w**4 + 0 + 1/40*w**5 - 1/60*w**6 + w - 1/84*w**7 + t*w**3. Let d(i) = 0. Calculate i.
-1, 0, 1
Let d = -70 + 70. Determine n, given that -n**5 + 0*n**3 + 0 - 1/3*n**4 + 0*n**2 + d*n = 0.
-1/3, 0
Let g(d) = -3*d**2 + 6*d - 6. Let i(q) = -6*q + 10*q**2 + 6 - 2 - 6*q**2 + 1. Let a(l) = 5*g(l) + 6*i(l). Factor a(x).
3*x*(3*x - 2)
Let d be (-40)/64*2/(-20)*4. Factor 1/4 - d*h**3 + 1/4*h - 1/4*h**2.
-(h - 1)*(h + 1)**2/4
Let m(i) = -82*i - 8. Let z be m(-8). Let b be 1*(z/20 - 2). Determine c so that 92*c**2 + 16/5 - 32/5*c**5 - 482/5*c**3 - b*c + 208/5*c**4 = 0.
1/4, 2
Let q(v) = v**3 + v**2 - v + 1. Let u(d) = 4*d**3 + 8*d**2 - 4*d + 8. Let t(g) = -8*q(g) + u(g). Factor t(h).
-4*h*(h - 1)*(h + 1)
Suppose -3/4*k**3 + 0*k + 0 + 3/4*k**2 = 0. What is k?
0, 1
Let z = 6 + -4. Find l, given that -7/4*l**z + 0 - 1/2*l = 0.
-2/7, 0
Let m(l) be the first derivative of l**3/6 - 5*l**2 + 50*l - 19. Suppose m(a) = 0. What is a?
10
Let p(f) be the first derivative of 9*f**5/10 + 33*f**4/8 + 15*f**3/2 + 27*f**2/4 + 3*f - 3. Find k, given that p(k) = 0.
-1, -2/3
Let m(v) be the first derivative of 12*v**5/5 + 10*v**4 + 4*v**3 - 24*v**2 - 16*v + 9. Factor m(u).
4*(u - 1)*(u + 2)**2*(3*u + 1)
Let d(m) be the second derivative of -m**7/210 - m**6/90 + m**5/45 - 5*m**2/2 - 5*m. Let s(p) be the first derivative of d(p). Factor s(o).
-o**2*(o + 2)*(3*o - 2)/3
Let f(c) = -c**3 - 6*c**2 - 5*c + 2. Let j be f(-5). Factor 0 - 6*m**j - 2 - 2*m**3 + 0*m - 6*m.
-2*(m + 1)**3
Let h(s) = s**2 - 12*s + 14. Let g be h(11). Factor -1 - o + o**2 - 4*o**g + 6*o**3 - o**3.
(o - 1)*(o + 1)**2
Suppose -3/7*p - 6/7*p**2 + 3/7 = 0. What is p?
-1, 1/2
Let o(v) be the second derivative of -v**7/1575 - v**6/900 + 5*v**2 - 7*v. Let d(p) be the first derivative of o(p). What is x in d(x) = 0?
-1, 0
Factor -2/7*d**2 - 2/7*d**3 + 2/7*d + 2/7.
-2*(d - 1)*(d + 1)**2/7
Let l(n) be the second derivative of n**5/80 - n**4/16 + n**3/12 + 2*n. Let l(t) = 0. Calculate t.
0, 1, 2
Let k(o) = -12*o**4 - 7*o**3 - 12*o**2 - 17. Let f(h) = -4*h**4 - 2*h**3 - 4*h**2 - 6. Let g(w) = 17*f(w) - 6*k(w). Factor g(u).
4*u**2*(u + 1)**2
Let m(o) be the first derivative of o**3/21 + o**2/2 - 21. Factor m(u).
u*(u + 7)/7
Determine b so that -b**3 + 4*b**2 + 4*b**3 + 8*b - 5*b**3 - 2*b**3 = 0.
-1, 0, 2
Factor -3*m**2 + 3/2*m**5 + 3/2 + 3/2*m**4 + 3/2*m - 3*m**3.
3*(m - 1)**2*(m + 1)**3/2
Determine r so that -16/9 - 52/9*r**4 - 148/9*r**2 + 8/9*r**5 + 128/9*r**3 + 80/9*r = 0.
1/2, 1, 2
Let f be 5/(-4)*1*4. Let j be f/(-1)*6/10. Factor -8/3 + 2*y**2 + 2/3*y**j + 0*y.
2*(y - 1)*(y + 2)**2/3
Suppose 3*o - 4*o + 8 = 4*a, 2*o = -4*a + 8. Let i(s) be the first derivative of 0*s + 2*s**2 - a*s**3 + 1/2*s**4 - 1. What is b in i(b) = 0?
0, 1, 2
Let u(p) be the first derivative of -2/9*p**3 - 1/6*p**4 + 2/3*p - 2 + 1/3*p**2. Determine l, given that u(l) = 0.
-1, 1
Let y(s) be the second derivative of -s**6/1440 + s**5/240 - s**4/96 + s**3/6 - s. Let l(h) be the second derivative of y(h). Find t such that l(t) = 0.
1
Let c(p) = -p**3 + 2. Suppose 7*a = 2*a. Let z be c(a). What is g in 4/5 + 6/5*g + 2/5*g**z = 0?
-2, -1
Suppose b = -2*n + 8, b - 3*b - 2 = -2*n. Factor -6*w**2 - w - 2*w**2 - 3*w + 2*w**b.
-2*w*(3*w + 2)
Let t = -257/3 - -86. Find k, given that 2/3*k**5 + 7/6*k**4 + t*k - 7/6*k**2 - k**3 + 0 = 0.
-2, -1, 0, 1/4, 1
Let r = 2/5 + -1/15. Let b(p) = -p**3 - 4*p**2 - 4*p. Let k be b(-3). Let -2*i**k + 0 - 4/3*i**5 + 3*i**4 + 0*i + r*i**2 = 0. Calculate i.
0, 1/4, 1
Let l(g) be the second derivative of g - 1/30*g**3 - 1/60*g**4 + 0 + 0*g**2. Factor l(y).
-y*(y + 1)/5
Let d be 1 + (8/2 - 2). Suppose -4*o = k - 3*k - 2, -2*k = 4*o - 14. Suppose 3*b - b**5 - b - 4*b**d + k*b**5 = 0. What is b?
-1, 0, 1
Let b(t) = t**2 - t. Let i be b(-2). Let h(u) be the third derivative of 0 + 0*u - 3*u**2 - 1/420*u**i - 1/84*u**4 + 0*u**3 + 1/105*u**5. Factor h(r).
-2*r*(r - 1)**2/7
Let d(q) = -5*q**2 - 5*q - 8. Let p(m) = -m**2 + m + 3. Let n(z) = -2*z**2 + 2*z + 5. Let y(r) = 3*n(r) - 5*p(r). Let o(f) = 2*d(f) - 6*y(f). Factor o(v).
-4*(v + 2)**2
Let b be (-16)/(-88) + (-4)/22. Let s(y) be the third derivative of 1/105*y**7 + 0*y + 0 + 1/3*y**3 - 1/15*y**5 + 0*y**4 - 2*y**2 + b*y**6. Factor s(z).
2*(z - 1)**2*(z + 1)**2
Let q = 197/2 + -98. Suppose 0 - 1/4*t + q*t**2 - 1/4*t**3 = 0. Calculate t.
0, 1
Let c(b) be the second derivative of 0 - 9/4*b**4 + 0*b**3 + 6*b + 9/20*b**5 + 1/14*b**7 + 0*b**2 + 1/2*b**6. Factor c(r).
3*r**2*(r - 1)*(r + 3)**2
Let o(s) = 5*s + 20. Let j be o(-4). Let q(x) be the third derivative of j*x**3 + 0 + 0*x**4 + 0*x + 1/30*x**5 + 2*x**2. Factor q(d).
2*d**2
Let c(y) be the third derivative of y**6/90 - y**5/30 - y**4/3 + 3*y**3/2 - 3*y**2. Let i(z) be the first derivative of c(z). Factor i(d).
4*(d - 2)*(d + 1)
Let c(r) = -r**3 - 6*r**2 + 7*r + 6. Let i be c(-7). Let l be i/21 + (-12)/(-56). Solve -l*x**2 - 1/2 + x = 0 for x.
1
Let r(s) be the first derivative of -3*s**5/10 - 3*s**4/2 - 3*s**3 - 3*s**2 - 3*s/2 + 17. Factor r(l).
-3*(l + 1)**4/2
Let u be (-7)/(-1)*836/152. Let 81/2*n**4 - 2 - u*n**2 - 18*n + 18*n**3 = 0. What is n?
-1, -2/9, 1
Solve -6*b**2 + 2*b**2 + b**4 + 3*b**4 - 4*b + 4*b**3 = 0.
-1, 0, 1
Let h be 2/3*-3 + 5. Let v be (10/(-6))/(h/(-9)). Let -2/7*p + 4/7*p**4 + 8/7*p**3 - 4/7*p**2 + 0 - 6/7*p**v = 0. What is p?
-1, -1/3, 0, 1
Let t(m) = -m**2 - 6*m - 3. Let z be t(-4). Let k(u) be the first derivative of 1 + 1/4*u**3 + 0*u - 3/16*u**4 - 1/8*u**2 + 1/20*u**z. Solve k(o) = 0 for o.
0, 1
Let j(u) = -2*u - 7. Let g be 2/4 + (-55)/10. Let k be j(g). Factor -11*l - l**k + l**2 + 11*l.
-l**2*(l - 1)
Let r = 22472/405 + -7/81. Let s = r + -55. Determine g, given that -2/5*g**4 + 0 + 2/5*g + 2/5*g**2 - s*g**3 = 0.
-1, 0, 1
Factor 0*f + 0*f**2 + 0 - 2/9*f**4 + 2/9*f**3.
-2*f**3*(f - 1)/9
Let j(o) be the first derivative of 3/8*o**4 + 0*o**3 + 0*o**2 - 9/20*o**5 + 1/8*o**6 + 0*o - 9. Factor j(i).
3*i**3*(i - 2)*(i - 1)/4
Let 0 -