, given that 2/5*o**3 + h + 0*o + 4/5*o**2 = 0.
-2, 0
Let x(y) be the second derivative of 5*y - 1/3*y**2 + 0 + 1/18*y**4 + 5/18*y**3 - 1/12*y**5. Factor x(c).
-(c - 1)*(c + 1)*(5*c - 2)/3
Let t(m) = m**2 - 5*m + 2. Let a be t(6). Factor 2*f**5 + 2*f - f**3 - a*f**4 - 4*f**2 - 4*f**2 + 13*f**3.
2*f*(f - 1)**4
Let i be ((-30)/(-9))/1*36. Find x, given that -80*x**3 - 300*x**2 - 170*x**3 - i*x - 9 - 7 = 0.
-2/5
Let o(b) be the second derivative of 2*b**7/105 + b**6/10 + 2*b**5/15 + 7*b**2/2 - 8*b. Let p(h) be the first derivative of o(h). Factor p(z).
4*z**2*(z + 1)*(z + 2)
Let k = 13 + -5. Let b = k + -6. Factor 0*o + 2/5*o**b + 0.
2*o**2/5
Factor -2*h**2 - h**4 + 4*h**2 + 0 + 3 - 4.
-(h - 1)**2*(h + 1)**2
Let x(o) be the first derivative of -o**4/36 - o**3/18 + o**2/3 - 3*o - 3. Let p(r) be the first derivative of x(r). Factor p(q).
-(q - 1)*(q + 2)/3
Let x(q) = q**2 + 9*q + 8. Let n be x(-9). Let y be (8 + -11)/((-18)/n). Let 2/3 + 8/3*c**5 + y*c**3 - 4*c + 16/3*c**2 - 6*c**4 = 0. What is c?
-1, 1/4, 1
Let y(q) be the second derivative of -3*q + 0 + 4/3*q**3 + 3*q**2 + 1/6*q**4. Determine h, given that y(h) = 0.
-3, -1
Let r(n) be the second derivative of n**6/10 - n**4/4 + 2*n. Let r(s) = 0. Calculate s.
-1, 0, 1
Let v(h) be the first derivative of 5*h**6/12 - 5*h**5/2 + 5*h**4/4 + 35*h**3/3 - 15*h**2/4 - 45*h/2 - 51. Suppose v(k) = 0. What is k?
-1, 1, 3
Let v = -191 - -767/4. Factor -1/2 - 1/4*n**2 - v*n.
-(n + 1)*(n + 2)/4
Let o be 5 - ((-11)/(-22) - 6/(-4)). Let r(s) be the second derivative of -1/2*s**o + 2*s - 1/12*s**4 - s**2 + 0. Determine p so that r(p) = 0.
-2, -1
Suppose -4 = -0*b - 2*b. Find r such that -b*r**3 + 4 + 3*r**2 - 6*r**2 + 2*r**4 + 2*r - 3*r**2 = 0.
-1, 1, 2
Let o(m) = -9*m - 9. Let d(v) = 4*v + 4. Let x(i) = -14*d(i) - 6*o(i). Let b be x(-2). Suppose -2 - 1 + 2*f + 1 + 0 + 4*f**b = 0. What is f?
-1, 1/2
Let n(r) be the second derivative of r**6/80 + r**5/30 + r**4/48 - 2*r**2 - 3*r. Let p(l) be the first derivative of n(l). Let p(y) = 0. Calculate y.
-1, -1/3, 0
Let d(b) be the first derivative of -b**4/12 + b**3/2 + 8*b + 11. Let h(y) be the first derivative of d(y). Factor h(s).
-s*(s - 3)
Let u(c) be the third derivative of -c**6/60 + c**5/30 + c**4/12 - c**3/3 - 11*c**2. Factor u(v).
-2*(v - 1)**2*(v + 1)
Let i(c) = 4*c**3 - 6*c**2 + c - 4. Let p(l) be the second derivative of -l**5/4 + 7*l**4/12 - l**3/6 + 5*l**2/2 + 3*l. Let s(f) = 6*i(f) + 5*p(f). Factor s(q).
-(q - 1)*(q + 1)**2
Let f(o) = -o**2 - 6*o - 6. Let l be f(-4). Let p be (-1)/(-4) - (-1)/l. Factor -1/4*z**4 + 0 + 1/4*z + 3/4*z**3 - p*z**2.
-z*(z - 1)**3/4
Let j be (-8)/30 - 14/(-21). Let i = -1/70 + 29/70. Factor 0 - j*t + i*t**2.
2*t*(t - 1)/5
Factor 0*m + 0 + 0*m**2 - 2/15*m**4 - 4/15*m**3.
-2*m**3*(m + 2)/15
Let n(a) be the second derivative of 9*a + 0*a**3 + 1/30*a**4 + 2/75*a**6 - 1/210*a**7 - 1/20*a**5 + 0 + 0*a**2. Solve n(h) = 0.
0, 1, 2
Suppose 2*h + 0*h = 0. What is z in -2*z**5 + h*z**5 - 4*z**2 + 2*z + 4*z**4 + 0*z = 0?
-1, 0, 1
Suppose 2 = 5*s - 18. Let a(i) be the first derivative of 7/3*i**6 + 2*i**s + 28/3*i**3 + 4*i - 3 - 11*i**2 - 32/5*i**5. Factor a(x).
2*(x - 1)**3*(x + 1)*(7*x - 2)
Let y(u) be the first derivative of u**3/3 + 7. Solve y(a) = 0.
0
Let o(s) be the second derivative of -s**5/30 + s**3/3 + 2*s**2/3 - 5*s. Find g, given that o(g) = 0.
-1, 2
Let c be (-2)/5*50/(-20). Factor 0 - c + 0 + u**3 + 0 - u + u**2.
(u - 1)*(u + 1)**2
Let k = 334 + -332. Let 2/9*n + 2/9*n**k + 0 = 0. Calculate n.
-1, 0
Let z(u) = -3*u - 9. Let g be z(-5). Let v(b) = b**3 - 5*b**2 - 4*b - 10. Let t be v(g). Let -x**t - 8/5*x - 4/5 - 1/5*x**3 = 0. Calculate x.
-2, -1
Factor 8/11*c**2 + 12/11*c**3 + 8/11*c**4 + 2/11*c + 0 + 2/11*c**5.
2*c*(c + 1)**4/11
Let l(k) be the first derivative of k**6/57 - 8*k**5/95 + 32*k**3/57 - 16*k**2/19 - 7. Factor l(w).
2*w*(w - 2)**3*(w + 2)/19
Let f(v) = 2*v**3 + 7*v**2 + 5*v. Let p(y) = -4*y**3 - 15*y**2 - 11*y. Let l(j) = -j**2 + 6*j - 7. Let b be l(7). Let w(h) = b*f(h) - 6*p(h). Factor w(n).
-4*n*(n + 1)**2
Let j be 6/21 + 198/42. Let m(r) be the third derivative of -2*r**2 - 1/3*r**3 + 1/8*r**4 + 0 + 1/30*r**j + 0*r. Factor m(w).
(w + 2)*(2*w - 1)
Let v(q) be the first derivative of -1 + 1/4*q**4 - 1/2*q**2 + 0*q - 1/3*q**3. Let t(r) = 2*r**3 - 2*r**2 - 3*r. Let o(g) = 2*t(g) - 6*v(g). Factor o(u).
-2*u**2*(u - 1)
Factor 10*d + 9*d - 48*d**3 + 24*d**2 + 13*d - 11*d + 3.
-3*(d - 1)*(4*d + 1)**2
Let -19*p**3 - 16*p**2 - 16*p + 3*p**4 + 62*p**2 - p**5 + 4*p**4 - 21*p**2 + 4 = 0. What is p?
1, 2
Let k(q) be the second derivative of -1/90*q**5 + 0*q**4 + 4*q + 0*q**2 + 0*q**3 + 0. Factor k(y).
-2*y**3/9
Let u(a) be the first derivative of a**5 - 15*a**4/4 + 10*a**3/3 - 11. Let u(g) = 0. What is g?
0, 1, 2
Let z(r) be the first derivative of -r**7/126 - 2*r**6/45 - r**5/15 + 2*r + 3. Let l(u) be the first derivative of z(u). Factor l(j).
-j**3*(j + 2)**2/3
Let d(n) = -n**2 - 3*n. Let x be d(-2). Factor -5 - 32*q + 3*q**x - 17*q**2 - 3.
-2*(q + 2)*(7*q + 2)
Let d(g) be the first derivative of -g**4/4 - g**3/3 + g**2/2 + g - 1. Factor d(p).
-(p - 1)*(p + 1)**2
Let p(j) be the third derivative of 0 - 3*j**2 + 1/168*j**8 + 0*j**3 + 0*j + 0*j**6 + 0*j**5 + 0*j**4 + 1/105*j**7. Find v, given that p(v) = 0.
-1, 0
Let k(v) = 3*v**4 + 20*v**3 - 3*v**2 + 14*v - 17. Let x(i) = i**4 + 7*i**3 - i**2 + 5*i - 6. Let s(a) = -6*k(a) + 17*x(a). Suppose s(j) = 0. Calculate j.
-1, 0, 1
Let s(u) be the third derivative of 3*u**6/40 + u**5/20 - 3*u**4/8 - u**3/2 - 9*u**2. Factor s(n).
3*(n - 1)*(n + 1)*(3*n + 1)
Suppose -i - 6 = -8. Factor 2/5*o**3 + 4/5*o + 0 - 6/5*o**i.
2*o*(o - 2)*(o - 1)/5
Let y be (-2)/1*14/(-7). Let o(q) be the first derivative of 0*q - 2/3*q**3 + 2/7*q**2 + 5/14*q**y - 1. Factor o(v).
2*v*(v - 1)*(5*v - 2)/7
Let a = 4/5 - -8/15. Find o such that 0 - 2/3*o**3 + 2/3*o**2 + a*o = 0.
-1, 0, 2
Suppose 4*i - 2*j - 6 = 2*i, -1 = 2*i + 5*j. Solve -4/9*k + 2/9*k**i + 0 = 0 for k.
0, 2
Let w(y) be the third derivative of y**7/2100 - y**5/300 + y**3/2 - 3*y**2. Let f(i) be the first derivative of w(i). Determine u so that f(u) = 0.
-1, 0, 1
Let j(g) be the first derivative of g**6/2 + 3*g**5/25 - 3*g**4/2 - 2*g**3/5 + 3*g**2/2 + 3*g/5 - 3. Solve j(i) = 0.
-1, -1/5, 1
Let n(z) = 14*z**3 + 8*z. Let o = 7 + -4. Let i(p) = 5*p**3 + 3*p. Let f(k) = o*n(k) - 8*i(k). Factor f(y).
2*y**3
Let h = -108 + 108. Let o(v) be the third derivative of -3*v**2 - 1/3*v**3 + 7/24*v**4 + h*v + 0 + 1/15*v**5. Suppose o(l) = 0. Calculate l.
-2, 1/4
Let y(i) be the first derivative of -i**7/30 + i**6/60 + 3*i**2/2 - 2. Let s(d) be the second derivative of y(d). Determine l so that s(l) = 0.
0, 2/7
Let g(v) be the third derivative of -1/60*v**5 + 0 + 0*v**3 + 1/24*v**4 - 1/120*v**6 + 1/210*v**7 + 0*v + 3*v**2. Factor g(i).
i*(i - 1)**2*(i + 1)
Let h(w) be the second derivative of -w**7/42 - w**6/5 - 13*w**5/20 - w**4 - 2*w**3/3 - 9*w. Factor h(j).
-j*(j + 1)**2*(j + 2)**2
Let u(y) be the second derivative of 0*y**2 + 2*y + 3/100*y**5 + 1/50*y**6 + 0 - 1/10*y**3 - 1/20*y**4. Factor u(x).
3*x*(x - 1)*(x + 1)**2/5
Factor -4 - 3*t + 0*t**4 + 0*t**4 + 2 + t**4 + t**2 + 3*t**3.
(t - 1)*(t + 1)**2*(t + 2)
Let d = -5/42 - -433/21. Let c = 21 - d. Find i such that 0 + c*i**2 + i = 0.
-2, 0
Let n(p) = 2*p - 1. Let u(o) = -5*o**3 - 5*o**2 - 8*o + 4. Let x(d) = 4*n(d) + u(d). Solve x(z) = 0 for z.
-1, 0
Let m be (-50)/(-18) - (-6)/27. Suppose -2*l = 3*b + l - 15, -2*l = -m*b. Suppose 2*d + 8*d**3 + 13*d**2 - 4*d + 10*d + 2*d**4 + b - d**2 = 0. Calculate d.
-1
Let o(i) be the third derivative of i**7/105 - i**5/10 - i**4/6 + 9*i**2. Suppose o(m) = 0. What is m?
-1, 0, 2
Suppose 0 = -4*v - v + 30. Let f = 6 - v. Factor 1/2*n**3 + f*n - 3/4*n**2 + 1/4.
(n - 1)**2*(2*n + 1)/4
Let g(q) = 2*q**3 + 17*q**2 + 10*q + 18. Let h be g(-8). Let u(s) be the first derivative of -1 - 6/5*s**h + 18/5*s + 2/15*s**3. Solve u(x) = 0.
3
Let p(d) = d + 7. Let s be p(-6). Let g(y) = -6 + 5 + 3*y**2 + y - 4*y**2. Let l(u) = -12*u**2 + 2*u - 18. Let q(j) = s*l(j) - 10*g(j). Solve q(v) = 0 for v.
-2
Let z(c) be the first derivative of -2*c**5/5 - c**4 + 2*c**3/3 + 2*c**2 + 12. Factor z(p).
-2*p*(p - 1)*(p + 1)*(p + 2)
Let n = -93 - -93. Let x be (-1)/((21/(-4))/3). Factor 2/7*t**5 