/2*v**u - 2*v - 17*v**4 + 21/2*v**5 = 0. What is v?
-2/3, 0, 2/7, 1
Let u(t) be the first derivative of 1/7*t**4 + 3 - 2/7*t**2 + 2/35*t**5 - 2/7*t + 0*t**3. Factor u(j).
2*(j - 1)*(j + 1)**3/7
Factor -2*m**4 - 10 + 56*m - 2*m**2 - 12*m**3 - 14 - 8 - 8*m.
-2*(m - 1)**2*(m + 4)**2
Factor -80*w + 252*w**2 + 8 - 196*w**3 - 343/2*w**4.
-(w + 2)*(7*w - 2)**3/2
Let o(b) be the third derivative of 0*b**3 + 0*b - 1/672*b**8 - 1/40*b**6 - 1/30*b**5 + 0 - 1/105*b**7 + 5*b**2 - 1/48*b**4. Factor o(t).
-t*(t + 1)**4/2
Let o(d) be the first derivative of d**6/18 - 4*d**5/15 + d**4/2 - 4*d**3/9 + d**2/6 + 7. Let o(j) = 0. What is j?
0, 1
Let -1/8*a**3 - 1/8*a**4 + 5/8*a**2 + 0 - 3/8*a = 0. What is a?
-3, 0, 1
Let q be -1 - 2 - 1*2. Let v be 2/6*(1 - q). Factor -2*f + f**3 + v*f - f**4.
-f**3*(f - 1)
Let u(c) = c**3 - c**2 - 1. Let a(q) = -2*q**3 + 39*q**2 + 432*q + 1731. Let y(w) = a(w) + 3*u(w). Factor y(m).
(m + 12)**3
Let k(d) be the third derivative of d**5/5 + 5*d**4/3 + 2*d**3 - 18*d**2. Factor k(a).
4*(a + 3)*(3*a + 1)
Let d be (-57)/(-3)*(2 + -1). Let k = d + -3. Let -k*m**4 - 7*m - 25*m**3 - 2*m**5 - 19*m**2 - 1 + 0*m**5 - 2*m**5 = 0. Calculate m.
-1, -1/2
Let d(t) = t**5 - t**3 + t. Let r(i) = 19*i**5 + 40*i**4 + 25*i**3 + 4*i**2 + i. Let q(l) = d(l) - r(l). Suppose q(n) = 0. What is n?
-1, -2/9, 0
Suppose 0 = -2*s + 4*s - 4. Let j(k) = -2*k + s*k + k. Let h(o) = -2*o**3 + 2*o**2 - 3*o - 2. Let t(c) = -h(c) - 5*j(c). Factor t(b).
2*(b - 1)**2*(b + 1)
Let f(n) be the second derivative of n**5/12 - 5*n**4/36 - 5*n**3/18 + 5*n**2/6 - 5*n. Factor f(c).
5*(c - 1)**2*(c + 1)/3
Let s(x) be the second derivative of 5*x**7/42 + x**6/3 - x**5/4 - 5*x**4/6 + 20*x. Solve s(m) = 0 for m.
-2, -1, 0, 1
Let d(t) be the first derivative of -2*t**3/3 - 12*t**2 + 26*t - 16. Factor d(y).
-2*(y - 1)*(y + 13)
Let u(o) be the first derivative of o**3/3 + 2*o**2 - 2*o - 1. Let a(k) = 2*k**2 + 4*k - 2. Let l(h) = -3*a(h) + 4*u(h). Factor l(g).
-2*(g - 1)**2
Let p(a) be the second derivative of -a**9/5040 + a**8/1400 - a**7/1400 + a**3/2 + a. Let w(h) be the second derivative of p(h). Factor w(f).
-3*f**3*(f - 1)**2/5
Let s(u) = 6*u**2 + 33*u + 9. Let z(g) = 3*g**2 + 16*g + 4. Let q(m) = -4*s(m) + 9*z(m). Let q(a) = 0. Calculate a.
-4, 0
Let q(v) be the first derivative of 3*v**5/5 - 3*v**4/4 - 2*v**3 + 1. Factor q(j).
3*j**2*(j - 2)*(j + 1)
Suppose 3*y - 47 = -131. Let j be 2/(y/(-6) - 4). Factor -1/2 - 8*x**4 - j*x - 1/2*x**2 + 12*x**3.
-(x - 1)**2*(4*x + 1)**2/2
Suppose -i - t + 2 = 0, 7*i - 4*i + 4*t = 6. Find m, given that -i + 0*m**2 - m + 0*m + m**2 = 0.
-1, 2
Let d(l) be the first derivative of -l**6/27 + 2*l**5/9 - l**4/3 - 8*l**3/27 + 8*l**2/9 + 25. Find j, given that d(j) = 0.
-1, 0, 2
Let y(h) = -3*h**5 - h**4 + h**3 + h**2 + h - 1. Let x(c) = -c**5 - c**4 - c**3 + c**2 + c - 1. Let d(m) = x(m) - y(m). Let d(v) = 0. Calculate v.
-1, 0, 1
Let x(b) be the first derivative of -b**7/210 + b**5/60 - 3*b**2/2 + 1. Let g(s) be the second derivative of x(s). Find q such that g(q) = 0.
-1, 0, 1
Let -8*h - 4*h + 4*h**2 + 4*h + 0*h + 4 = 0. Calculate h.
1
Let i(c) be the first derivative of -7*c**6/240 + 23*c**5/120 - 5*c**4/12 + c**3/3 - 2*c**2 + 5. Let f(v) be the second derivative of i(v). Factor f(d).
-(d - 2)*(d - 1)*(7*d - 2)/2
Let s = -1 + 0. Let d be s/(3/(-36)*2). Factor -d*q**4 - q**5 + 0*q**3 + 2*q**3 - 7*q**5.
-2*q**3*(q + 1)*(4*q - 1)
Let w(g) be the second derivative of 1/2*g**2 + 1/4*g**3 + 0*g**6 - 10*g + 0 - 1/10*g**5 + 1/84*g**7 - 1/12*g**4. Suppose w(l) = 0. What is l?
-1, 1, 2
Let d(s) be the first derivative of -s**4/4 + 4*s**3/3 + 3*s**2/2 - 18*s - 12. Factor d(m).
-(m - 3)**2*(m + 2)
Let t(q) = 28*q**3 - 16*q**2 - 16*q - 16. Let x(j) = 9*j**3 - 5*j**2 - 5*j - 5. Let k(p) = 5*t(p) - 16*x(p). Determine h so that k(h) = 0.
0
Factor 21*w - 4 - 17*w - w**3 - 4*w**2 + 6*w**2 - 4.
-(w - 2)**2*(w + 2)
Let j(v) be the first derivative of -9*v**4/16 + 3*v**3/4 - v**2/4 + 4. Find w such that j(w) = 0.
0, 1/3, 2/3
Let d be (34/(-153))/(15/(-27)). Factor -2/5*g**2 - d - 4/5*g.
-2*(g + 1)**2/5
Let p be (-4)/10*5/(-4). Let g(i) = 5*i - 48. Let d be g(10). Find a such that 5/2*a**d - p*a + 0 - 7/2*a**3 + 3/2*a**4 = 0.
0, 1/3, 1
Let q(d) be the first derivative of 4*d + 28/3*d**3 - 1 - 11*d**2. Factor q(f).
2*(2*f - 1)*(7*f - 2)
Let p(n) be the third derivative of n**6/120 + n**5/12 + n**4/6 - 3*n**2. Find k such that p(k) = 0.
-4, -1, 0
Let l(n) = 5*n**3 - 3*n**2 + 3*n + 3. Let g(y) = y + 2*y**2 - 3*y**3 - 4*y + 0*y - 2 + y. Let x(b) = -8*g(b) - 5*l(b). Solve x(p) = 0 for p.
-1, 1
Let d(f) = -f**3 + 4*f**2 + 6. Let t be d(4). Let z(n) be the first derivative of -n**4 + 0*n**2 - 3 + 0*n - 7/3*n**t + 0*n**3 + 18/5*n**5. Solve z(k) = 0.
0, 2/7, 1
Find i such that 3*i**3 + 3/5*i**2 + 0 - 6/5*i - 9/5*i**5 - 3/5*i**4 = 0.
-1, 0, 2/3, 1
Let z(g) = 30*g**4 - 147*g**3 + 141*g**2 + 147*g + 24. Let p(c) = 31*c**4 - 148*c**3 + 142*c**2 + 148*c + 23. Let v(n) = -3*p(n) + 4*z(n). Factor v(d).
3*(d - 3)**2*(3*d + 1)**2
Let b(r) be the third derivative of 2*r**7/35 - r**6/30 - 7*r**5/36 + r**4/6 - r**3/18 - 6*r**2. Factor b(x).
(x - 1)*(x + 1)*(6*x - 1)**2/3
Let z(i) be the first derivative of 3/7*i**3 + 1/7*i**2 + 2*i + 5/14*i**4 - 5/14*i**5 + 2. Let j(a) be the first derivative of z(a). Factor j(b).
-2*(b - 1)*(5*b + 1)**2/7
Let r(z) be the first derivative of -2/3*z + 2 - 1/3*z**5 - 7/3*z**3 + 11/6*z**2 + 17/12*z**4. Solve r(n) = 0.
2/5, 1
Let p be ((-6)/8)/(1/(-20)*5). Find s such that -16/11*s**2 + 12/11*s**p + 18/11*s**4 - 2/11 - 12/11*s = 0.
-1, -1/3, 1
Let c(z) be the third derivative of -z**6/240 + z**5/40 - 23*z**2. Let c(k) = 0. What is k?
0, 3
Find r, given that -9/4*r**2 + 0 - 3/2*r - 3/4*r**3 = 0.
-2, -1, 0
Let m(z) = 7*z**3 - 23*z**2 + 31*z - 9. Let h(p) = 20*p**3 - 68*p**2 + 92*p - 28. Let t be (6/(-4))/((-1)/2). Let u(o) = t*h(o) - 8*m(o). Solve u(b) = 0.
1, 3
Let f(w) = 17*w + 87. Let t be f(-5). Factor 0*h + 4/7*h**4 + 0*h**t - 2/7*h**3 - 2/7*h**5 + 0.
-2*h**3*(h - 1)**2/7
Let g(x) be the third derivative of x**6/280 - x**5/140 - x**4/28 + 6*x**2. Suppose g(h) = 0. Calculate h.
-1, 0, 2
Find p such that -14*p**2 + 2*p**5 + 2*p**5 + 14*p**2 = 0.
0
Let x(g) = g + 8. Let o be x(-6). Suppose o*h = -m - 8, 5*m - h = 2*h + 25. Factor m*w**2 + 0*w**2 - 2 - 4*w + 0 - 4*w**2.
-2*(w + 1)**2
Factor 0 + 0*p + 2/3*p**3 + 1/3*p**5 - 8/3*p**2 + 5/3*p**4.
p**2*(p - 1)*(p + 2)*(p + 4)/3
Let g = 2 + 0. Let o(n) = -n**3 + 7*n**2 + n - 4. Let s be o(7). Factor -2*y**4 - 3 - s*y**3 + y**g + 3*y + 4 + 0.
-(y - 1)*(y + 1)**2*(2*y + 1)
Let h(z) = -15*z**5 + 140*z**4 + 85*z**3 - 55*z**2 - 70*z + 85. Let g(s) = s**5 - 10*s**4 - 6*s**3 + 4*s**2 + 5*s - 6. Let d(n) = 85*g(n) + 6*h(n). Factor d(o).
-5*o*(o - 1)*(o + 1)**3
Let k(q) be the third derivative of q**8/588 - q**7/735 - q**6/105 + q**5/105 + q**4/42 - q**3/21 + q**2. Solve k(z) = 0.
-1, 1/2, 1
Let p(s) = s**2 + 8*s + 2. Let q(y) = -2*y - 2. Let h be q(3). Let z be p(h). Solve 6*b**2 - 6*b**3 - 2*b**4 + 4*b**4 + 0*b**4 - z*b = 0 for b.
0, 1
Suppose -5/3*u - 2/3 - 4/3*u**2 - 1/3*u**3 = 0. Calculate u.
-2, -1
Let d(v) = -2*v + 5. Let k(h) = h - 3. Let i(o) = -2*d(o) - 5*k(o). Let g be i(3). Factor 6*n**3 - 2*n**g - 20*n**3 + 4*n + 12*n**2.
-2*n*(n - 1)*(7*n + 2)
Suppose 0*n**3 + 1/4*n**5 - 1/4*n + 0 + 1/2*n**2 - 1/2*n**4 = 0. What is n?
-1, 0, 1
Let g(n) = n**4 + 5*n**3 - n**2 - 9*n + 4. Let m(a) = a**4 - a**2 + a - 1. Let t(l) = -g(l) - 4*m(l). Factor t(d).
-5*d*(d - 1)*(d + 1)**2
Factor 0*z + 10/13*z**4 + 6/13*z**2 + 2/13*z**5 + 14/13*z**3 + 0.
2*z**2*(z + 1)**2*(z + 3)/13
Let z(o) = 2*o - 3. Let b be z(4). Let j(g) be the third derivative of 0 - 1/40*g**6 + 2*g**2 + 0*g + 1/24*g**4 + 0*g**3 - 1/30*g**b. Solve j(p) = 0.
-1, 0, 1/3
Factor 4*m**3 - 5*m**3 - 2*m**2 - 5*m**3 + 5*m**3.
-m**2*(m + 2)
Let c(q) be the third derivative of 3*q**7/70 + 9*q**6/40 + 7*q**5/20 + 19*q**4/72 + q**3/9 - q**2. Factor c(m).
(m + 2)*(3*m + 1)**3/3
Let a(f) = -3*f**4 + f**3 + 6*f**2 - 2*f - 2. Let h(t) = 4*t**4 - t**3 - 6*t**2 + 3*t + 3. Let w(c) = -3*a(c) - 2*h(c). What is y in w(y) = 0?
-2, 0, 3
Let d(y) = -y - 4. Let k be d(-7). Factor -2/7*s**2 + 4/7*s**k - 2/7*s**4 + 0 + 0*s.
-2*s**2*(s - 1)**2/7
Let h(a) = -7*a**3 - 8*a**2 - 6*a. Let r(k) = k