hird derivative of x**8/1008 + 2*x**7/315 + x**6/72 + x**5/90 - 16*x**2. Let w(g) = 0. What is g?
-2, -1, 0
Factor -5*i**4 - 80 - 5/2*i**5 + 20*i**3 - 40*i + 40*i**2.
-5*(i - 2)**2*(i + 2)**3/2
Let u = 4 - 10. Let r be (-6)/(-4)*u/(-3). Factor 2*s - 5*s - 3*s**2 + s**2 + 2 + s**r + 2*s.
(s - 2)*(s - 1)*(s + 1)
Let o(s) be the second derivative of -5*s**4/12 - 5*s**3/2 - 5*s**2 - 15*s. Suppose o(j) = 0. What is j?
-2, -1
Suppose -4/5*i**2 + 2*i**5 + 0*i + 18/5*i**3 - 24/5*i**4 + 0 = 0. What is i?
0, 2/5, 1
Let v(g) be the first derivative of -g**6/12 + g**5/5 - g**4/8 + 2. Let v(h) = 0. Calculate h.
0, 1
Let w(f) = -f**2 + 5*f + 11. Let g(p) = -1 + 8 + 0*p**2 + p**2 - 8 + p. Let u(r) = -3*g(r) - w(r). Determine i, given that u(i) = 0.
-2
Find n, given that -3/4*n**3 + 1/4*n**5 - 1/4*n**2 + 0 + 1/4*n**4 + 1/2*n = 0.
-2, -1, 0, 1
Let x(k) be the third derivative of k**8/80 + k**7/175 - 21*k**6/200 + 2*k**5/25 + k**4/10 - 2*k**2 - 1. Find l, given that x(l) = 0.
-2, -2/7, 0, 1
Let b(p) be the second derivative of -2*p**6/45 + p**5/10 + p**4/9 - 8*p. Find s, given that b(s) = 0.
-1/2, 0, 2
Let i(w) be the third derivative of -w**7/140 - w**6/80 - w**5/160 + 10*w**2. Let i(l) = 0. Calculate l.
-1/2, 0
Let y(u) be the second derivative of -u**4/30 - 7*u**3/45 - 2*u**2/15 - 8*u. Determine b, given that y(b) = 0.
-2, -1/3
Let j(b) = 3*b**3 + 2*b**2 + 7*b - 2. Let f(t) = -t**3 - t. Let p(w) = 5*f(w) + j(w). Factor p(q).
-2*(q - 1)**2*(q + 1)
Let s(i) be the second derivative of i**5/45 + i**4/9 - 7*i**2/2 - 5*i. Let t(z) be the first derivative of s(z). Factor t(v).
4*v*(v + 2)/3
Factor 2/3*i**3 + 2/9*i + 0 - 2/3*i**2 - 2/9*i**4.
-2*i*(i - 1)**3/9
Let l(i) be the second derivative of 0*i**2 - 4*i + 0 + 1/42*i**4 + 1/21*i**3. Suppose l(x) = 0. Calculate x.
-1, 0
Let c(m) be the second derivative of 1/48*m**4 - 1/120*m**6 + 1/12*m**3 + 0*m**2 - 1/40*m**5 + 0 - 5*m. Factor c(t).
-t*(t - 1)*(t + 1)*(t + 2)/4
Let p be (-912)/(-1881) + 2/11. Determine n so that 2/3*n**3 - 2/3*n**5 - p*n**4 + 2/3*n**2 + 0 + 0*n = 0.
-1, 0, 1
Factor -2/11*j**3 - 16/11*j**2 - 10/11*j + 100/11.
-2*(j - 2)*(j + 5)**2/11
Let w(g) be the first derivative of -1/12*g**4 + g - 2/3*g**3 - 2*g**2 - 2. Let a(c) be the first derivative of w(c). Let a(m) = 0. What is m?
-2
Let z be (-5)/10 - (1/1)/(-1). Find j, given that -3*j - 2*j**4 - z - 13/2*j**2 - 6*j**3 = 0.
-1, -1/2
Factor -2/5 - 7/5*n - 3/5*n**2.
-(n + 2)*(3*n + 1)/5
Let l be (-6)/14 + (-114)/(-168). Find o, given that l*o**2 - 1/4*o**3 + 0 + 0*o = 0.
0, 1
Let c(r) be the second derivative of r**7/420 - r**6/180 - r**3/2 + 2*r. Let m(b) be the second derivative of c(b). What is d in m(d) = 0?
0, 1
Let u(v) be the third derivative of 1/192*v**4 + 1/96*v**5 - 1/210*v**7 + 0*v + 0 - 5*v**2 + 0*v**3 + 1/480*v**6. Let u(q) = 0. Calculate q.
-1/2, -1/4, 0, 1
Let n be 2/4*(-72)/(-4). Let t be (1 + n/(-6))*-2. Let r(v) = 6*v**2 + 3*v. Let p(c) = c**2 + c. Let w(h) = t*r(h) - 5*p(h). Let w(y) = 0. Calculate y.
0, 2
Let n(d) be the first derivative of -d**4/14 - 4*d**3/21 + d**2/7 + 4*d/7 - 4. Solve n(g) = 0 for g.
-2, -1, 1
Let r be ((-161)/28)/((-1)/4). Let t = r + -67/3. Determine p so that 1/3 + 4/3*p**3 - t*p**5 + 1/3*p**4 - 2/3*p - 2/3*p**2 = 0.
-1, 1/2, 1
Let y be (12/9)/(1/3). Factor 0*t + 1/2*t**2 + 0 + 1/2*t**y + t**3.
t**2*(t + 1)**2/2
Suppose 24*d**3 - 3*d**4 - 8*d + 2*d**4 + 10*d**2 - 14*d**2 - 8*d**5 - 3*d**4 = 0. Calculate d.
-2, -1/2, 0, 1
Let q(w) be the second derivative of w**5/30 - 4*w**4/45 + w**3/45 + 2*w**2/15 + 17*w. Factor q(l).
2*(l - 1)**2*(5*l + 2)/15
Suppose -i - 2*z = -0*z - 6, 5*z = 3*i - 7. Determine o, given that -o - 14*o**3 - o**2 + 5*o - 5*o**2 + 0*o**2 + 10*o**5 + 6*o**i = 0.
-1, 0, 2/5, 1
Let i = 77 - 74. Let a(t) be the first derivative of 2*t + 2 + 1/6*t**i + t**2. Factor a(s).
(s + 2)**2/2
Let j be 3/((-1)/((-6)/45)). Solve 0 + 0*f - 2/5*f**2 - j*f**3 = 0 for f.
-1, 0
Let w(o) = -6*o**3 + 4*o**2 - 2*o - 6. Let j(u) = u**3 + u**2 + 2. Let l(b) = -3*j(b) - w(b). Factor l(g).
g*(g - 2)*(3*g - 1)
Suppose -3*d + d + 2 = 0. Let g be (((-4)/8)/(-1))/d. Factor g*z**4 + 0*z**3 - 1/4*z + 0 - 1/2*z**2 + 1/4*z**5.
z*(z - 1)*(z + 1)**3/4
Let p(r) = -4*r**2 - 24*r - 41. Let s(i) = 2*i**2 + 12*i + 20. Let z(x) = -4*p(x) - 10*s(x). Factor z(c).
-4*(c + 3)**2
Let i(l) = l**2 + 10*l + 9. Let a be i(-10). Let o = 9 - a. Find h such that o*h + 1/2*h**3 + 1/2*h**5 + 0 + 0*h**2 + h**4 = 0.
-1, 0
Solve -h**3 - 2*h - 2*h**3 + 3*h**3 + 2*h**3 + 2*h**2 - 2*h**4 = 0.
-1, 0, 1
Let s = 0 + 0. Let c(p) = 4 + 6*p**2 + s - 2*p - 6*p. Let h(o) = -5*o**2 + 7*o - 3. Let r(i) = -3*c(i) - 4*h(i). Factor r(n).
2*n*(n - 2)
Suppose -3*g = -5*u - 11, 0 = -0*g + 4*g + 3*u - 5. Factor -24*v**2 + 3*v + 25*v**g - 3*v**3 + 0 - 1 + 0*v**3.
-(v - 1)*(v + 1)*(3*v - 1)
Let a(k) be the first derivative of -4*k**5/25 + k**4/5 + 4*k**3/15 - 2*k**2/5 - 15. Factor a(s).
-4*s*(s - 1)**2*(s + 1)/5
Let i = -1 - -4. Let b(v) be the first derivative of 1/8*v**2 + 1/12*v**i + 0*v - 1. Factor b(y).
y*(y + 1)/4
Let y(a) = 5*a**4 + 10*a**3 + 45*a**2 - 35*a - 25. Let c(r) = -r**3 + r**2 - r + 1. Let q(k) = 15*c(k) - y(k). Factor q(s).
-5*(s - 1)*(s + 2)**3
Suppose -2*p + 2*m = 5*m - 35, 3*p - 50 = -4*m. Let g = 15 - p. Determine o so that 1/5*o - 2/5*o**3 + 1/5*o**g + 0*o**4 + 0 + 0*o**2 = 0.
-1, 0, 1
Let y(j) be the third derivative of j**5/30 - j**4/6 + 15*j**2. Factor y(s).
2*s*(s - 2)
Let c(w) = w**3 + w**2 + w - 1. Let m(a) = -4*a**4 + 28*a**3 + 12*a**2 + 4*a - 8. Let o(j) = -16*c(j) + m(j). Factor o(f).
-4*(f - 2)*(f - 1)**2*(f + 1)
Let t(h) be the second derivative of 0 + h - 1/180*h**6 + 1/40*h**5 + 0*h**2 - 1/24*h**4 + 1/36*h**3. Factor t(o).
-o*(o - 1)**3/6
Let i(v) be the second derivative of -v**6/900 - v**3/3 + 2*v. Let a(n) be the second derivative of i(n). Find x such that a(x) = 0.
0
Let f(w) be the first derivative of -4*w**3/13 + 7*w**2/13 - 2*w/13 + 50. Determine a, given that f(a) = 0.
1/6, 1
Let i = 329/20 - 65/4. Let t(c) be the first derivative of 4/15*c**3 - 2/5*c + 1/15*c**6 + 1/5*c**2 + 3 - i*c**4 - 2/25*c**5. Factor t(s).
2*(s - 1)**3*(s + 1)**2/5
Let l(k) be the third derivative of -k**6/120 - k**5/12 + 5*k**4/24 - k**3/6 + 2*k**2. Let a be l(-6). Factor 7 + 15*q**2 + 0 + a - 2*q**3 + 24*q + 5*q**3.
3*(q + 1)*(q + 2)**2
Let u be (-1 + 6)*(3 - -2 - 4). Factor -4/5*g**4 + 4/5*g**3 + 1/5*g**u + 0 + 0*g + 0*g**2.
g**3*(g - 2)**2/5
Find s, given that 2/3*s - 2/3*s**3 - 2/9*s**2 - 2/9 + 4/9*s**4 = 0.
-1, 1/2, 1
Let l(s) be the first derivative of 1/3*s**6 - 5/2*s**4 - 3 - 2/5*s**5 + 8*s**2 + 2/3*s**3 + 8*s. Factor l(o).
2*(o - 2)**2*(o + 1)**3
Factor 3*y**3 - 4 + 6 - 3*y - y**2 + 3*y**2 - 4*y**2.
(y - 1)*(y + 1)*(3*y - 2)
Let b(h) = 8*h**3 - 80*h**2 - 28*h + 144. Let w(l) = -l**3 + 9*l**2 + 3*l - 16. Let m(u) = 3*b(u) + 28*w(u). What is p in m(p) = 0?
-1, 2
Let j(a) be the second derivative of a**6/1440 - a**4/96 + a**3/3 + 4*a. Let p(q) be the second derivative of j(q). Factor p(y).
(y - 1)*(y + 1)/4
Suppose 0*y - 4 = 4*y. Let j(l) = -3*l**2 - 2*l + 1. Let s(p) = p**2. Let a(v) = y*j(v) - 4*s(v). Factor a(z).
-(z - 1)**2
Determine x so that 7/3*x**3 + 5/3*x**4 + 0*x + 0 + 2/3*x**2 = 0.
-1, -2/5, 0
Let c be 273/90 - (-6)/(-2). Let r(i) be the third derivative of 0*i**3 + 0 + 2*i**2 - 1/150*i**6 + 0*i + 1/150*i**5 - 1/525*i**7 + c*i**4. Factor r(z).
-2*z*(z - 1)*(z + 1)*(z + 2)/5
Let g(t) = -t**2 - 3*t + 2. Let k be g(-3). Let n(d) be the second derivative of -2*d + 0*d**4 + 1/4*d**k + 0 + 1/80*d**5 - 1/8*d**3. Find x such that n(x) = 0.
-2, 1
Let c(a) be the third derivative of -a**6/30 + a**4/6 + 9*a**2. Factor c(i).
-4*i*(i - 1)*(i + 1)
Factor 8/7*c - 2/7*c**2 - 8/7.
-2*(c - 2)**2/7
Let j(m) be the second derivative of -3*m**5/140 + 3*m**4/28 + m**3/14 - 9*m**2/14 + 2*m. Factor j(s).
-3*(s - 3)*(s - 1)*(s + 1)/7
Let j be 5/2 - ((-3)/2)/3. Let y(w) be the second derivative of 1/6*w**4 + w**2 - 2/3*w**j + 0 - 2*w. Determine r, given that y(r) = 0.
1
Let o(d) be the third derivative of -d**9/7560 - d**8/3360 - d**4/24 - 2*d**2. Let u(n) be the second derivative of o(n). Factor u(g).
-2*g**3*(g + 1)
Suppose 0 = 4*j - 3*q - 55, q = 5*j + 4*q - 89. Let r be -2*(-1 + j/28). Suppose 0 + 2/7*o**5 + 0*o + 2/7*o**2 + r*o**4 + 6/7*o**3 = 0. Calcula