 derivative of -i**7/147 - i**6/21 - i**5/7 - 5*i**4/21 - 5*i**3/21 - i**2/7 + 29*i. Suppose r(v) = 0. Calculate v.
-1
Let d(f) = -4*f - 2. Let a be d(-3). Let p = a - 7. Factor 2*t**p - 8*t**2 + 3*t**4 + 8*t**2.
t**3*(3*t + 2)
Let v = -2/401 - -2811/802. Let g(c) be the first derivative of -1 - v*c**4 + 7*c**2 + 4*c - 4/3*c**3. Solve g(j) = 0.
-1, -2/7, 1
Factor 0*s + 0 + 0*s**3 - 1/6*s**4 + 0*s**2.
-s**4/6
Let z(t) = t - 11. Let r be z(13). What is b in -2 - r*b + 6*b**2 - 3*b**3 + 5 - 7*b + 3*b**2 = 0?
1
Let z(b) be the first derivative of 2*b**7/105 - b**5/15 - 5*b**2/2 + 3. Let r(d) be the second derivative of z(d). Factor r(j).
4*j**2*(j - 1)*(j + 1)
Let y be 2 - (1 + (-4)/2). Factor 0*g**3 + 0*g**3 - 3*g**2 + 4*g - y*g**2 + 2*g**3.
2*g*(g - 2)*(g - 1)
Suppose 4*s + 14 = -10. Let u(f) = -f - 4. Let q be u(s). Suppose 0 + 1/4*d**q - 1/4*d = 0. Calculate d.
0, 1
Determine y so that 0*y + 0 - 14/5*y**4 + 8/5*y**2 + 24/5*y**3 = 0.
-2/7, 0, 2
Suppose 5*w = -4*q + w, 40 = 3*q - 5*w. Factor q*v**3 - 3*v**3 - 4*v**3 + 2*v**2.
-2*v**2*(v - 1)
Let x(g) = -g**4 - g**3 + g**2 + g + 1. Let i(z) = 5*z**4 + 5*z**3 - 2*z**2 - 2*z - 2. Let b(c) = -i(c) - 2*x(c). Factor b(q).
-3*q**3*(q + 1)
Let d(c) be the first derivative of c**3/6 - c**2/4 - c - 6. Factor d(s).
(s - 2)*(s + 1)/2
Find c such that -6*c**2 + 2*c**3 + 0*c**2 + 6 - 2*c + c**2 - c**2 = 0.
-1, 1, 3
Suppose -3*o + 2 = -2*o. Let y be ((-8)/(-42))/(o/3). Factor 2/7*r**2 + y*r + 0.
2*r*(r + 1)/7
Let k(n) be the second derivative of -1/6*n**3 - n + 1/4*n**2 - 1/8*n**4 + 0. Factor k(s).
-(s + 1)*(3*s - 1)/2
What is s in 0 - 1/2*s**2 - 1/2*s = 0?
-1, 0
Determine r so that 15*r**4 - 17 + 29*r**3 - 5 + 2 + 5*r**2 + 11*r**3 - 40*r = 0.
-2, -1, -2/3, 1
Let f be 4/2 + (-1 - 0). Let u be 1 - f*(2 + -3). Factor -2/3*z + 1/3*z**u + 0.
z*(z - 2)/3
Let s(y) be the second derivative of y**8/2520 - y**7/420 + y**6/180 - y**5/180 - y**4/3 - y. Let m(i) be the third derivative of s(i). Factor m(l).
2*(l - 1)**2*(4*l - 1)/3
Suppose q + 4*q + 5*p = 10, 0 = -3*q + 4*p + 13. Find o, given that -17*o**q + 14*o**3 - 2*o**4 + 3*o - o**4 + 3*o**2 = 0.
-1, 0, 1
Let z = 391/8232 + -2/343. Let d(i) be the third derivative of 0*i - 1/120*i**6 + 0*i**5 - 2*i**2 + 0*i**3 + 0 + z*i**4. Factor d(u).
-u*(u - 1)*(u + 1)
Let p(w) be the first derivative of -2 - 1/4*w**2 - 1/8*w**4 + 0*w - 1/3*w**3. Determine v so that p(v) = 0.
-1, 0
Solve 0 + 7/3*k**3 + 5/3*k**2 - 2/3*k = 0 for k.
-1, 0, 2/7
Determine r so that 8*r**2 - 2*r - r - 7*r + 0*r - 2*r**3 + 4 = 0.
1, 2
Let v(d) = 2*d**4 + 4*d**3 - 2*d**2 + 2*d. Let m(r) = r**5 - 9*r**4 - 21*r**3 + 11*r**2 - 11*r. Let k(b) = 4*m(b) + 22*v(b). Let k(i) = 0. What is i?
-1, 0
Factor -2*f - 22*f + 3*f**2 + 15 - 1 + 34.
3*(f - 4)**2
Let j(v) = -v**3 + 4*v**2 - 2*v - 1. Let i be j(3). Let -2/7*p + 2/7*p**i + 0 - 2/7*p**4 + 2/7*p**3 = 0. Calculate p.
-1, 0, 1
Let n(g) be the second derivative of g**4/42 - g**3/21 - 4*g. Factor n(p).
2*p*(p - 1)/7
Factor 4/7*g**2 - 8/7*g + 0 + 4/7*g**3.
4*g*(g - 1)*(g + 2)/7
Let v = -1229/105 - -59/5. Let u(c) be the first derivative of v*c**3 + 0*c + 1 + 0*c**2 + 0*c**4 - 2/35*c**5. Factor u(n).
-2*n**2*(n - 1)*(n + 1)/7
Let f(s) be the third derivative of -s**7/105 - s**6/60 + 3*s**5/10 - 11*s**4/12 + 4*s**3/3 + 23*s**2. Suppose f(y) = 0. Calculate y.
-4, 1
Let i = 56 + -40. Let w = i + -14. Let 2/7 + 0*h - 2/7*h**w = 0. Calculate h.
-1, 1
Factor 2/13 - 2/13*k + 2/13*k**3 - 2/13*k**2.
2*(k - 1)**2*(k + 1)/13
Let u(l) be the first derivative of -l**4/36 + l**3/3 - 3*l**2/2 - 4*l - 2. Let t(q) be the first derivative of u(q). Solve t(h) = 0 for h.
3
Let j(c) be the second derivative of 3*c**5/20 - c**3/2 - 4*c. Find m, given that j(m) = 0.
-1, 0, 1
Let c(x) = x**3 - 9*x**2 - 9*x - 8. Let d be c(10). Suppose r**2 - 2*r**4 - 9*r**d + 4*r**4 = 0. What is r?
-2, 0, 2
Let t(q) = 2*q**4 - 8*q**2 - 4*q. Let a(n) = 2*n**4 - 9*n**2 - 4*n. Let g(z) = -4*a(z) + 6*t(z). Factor g(i).
4*i*(i - 2)*(i + 1)**2
Let u(h) = -h**3 + 4*h**2 - 3*h + 2. Let t be u(3). Let o be ((-9)/t)/((-10)/5). Factor 1/2 - o*g**2 + 7/4*g.
-(g - 1)*(9*g + 2)/4
Let r(o) be the first derivative of 1/20*o**4 + 2/5*o - 1/10*o**2 - 1 - 2/15*o**3. Factor r(f).
(f - 2)*(f - 1)*(f + 1)/5
Factor 3/5*q + 3/5*q**5 + 0*q**4 + 0*q**2 - 6/5*q**3 + 0.
3*q*(q - 1)**2*(q + 1)**2/5
Let d(f) be the third derivative of f**7/140 - f**6/180 - f**5/30 + f**3/6 - 2*f**2. Let z(p) be the first derivative of d(p). Factor z(y).
2*y*(y - 1)*(3*y + 2)
Suppose 7*g - 42 = 9*g. Let c be (-8)/2*g/98. Factor 4/7*a**2 + 0*a + 2/7*a**4 + 0 - c*a**3.
2*a**2*(a - 2)*(a - 1)/7
What is j in 0 - 1/4*j**2 + 0*j + j**3 = 0?
0, 1/4
Let d = -21 + 21. Let v(g) be the first derivative of 0*g**2 + d*g - 1 - 5/4*g**4 + 3/2*g**6 + 1/3*g**3 + 3/5*g**5. Factor v(s).
s**2*(s + 1)*(3*s - 1)**2
Let l(d) be the second derivative of d**7/231 - 3*d**6/55 + 3*d**5/11 - 23*d**4/33 + d**3 - 9*d**2/11 + 18*d. Determine i, given that l(i) = 0.
1, 3
Solve 14/13*g**3 + 0*g - 4/13*g**4 - 8/13*g**2 + 0 - 2/13*g**5 = 0.
-4, 0, 1
Let h(y) be the first derivative of 2*y**6/9 - y**4/4 + y**3/9 + 8. Factor h(m).
m**2*(m + 1)*(2*m - 1)**2/3
Let v(a) be the first derivative of -4*a**3/21 + 6*a**2/7 - 8*a/7 + 23. What is j in v(j) = 0?
1, 2
Let b(o) = -24*o**2 - 17 - 13*o**2 - 53*o - 12*o. Let q(k) = 12*k**2 + 22*k + 6. Let t(l) = -2*b(l) - 7*q(l). Factor t(m).
-2*(m + 2)*(5*m + 2)
Let u(l) be the third derivative of l**7/11340 - l**6/1620 + l**5/540 - l**4/24 + 5*l**2. Let q(n) be the second derivative of u(n). Factor q(o).
2*(o - 1)**2/9
Let s(q) be the second derivative of q**4/18 + q**3/3 - 16*q. Let s(i) = 0. What is i?
-3, 0
Suppose -s + 1 = b, 3*s + 4*b + 2 - 4 = 0. Factor -3*a**s + 5*a**2 + 3*a - a**2 + 2.
(a + 1)*(a + 2)
Factor 0*g**4 + 2*g - 8/3*g**3 - 4/3*g**2 + 4/3 + 2/3*g**5.
2*(g - 2)*(g - 1)*(g + 1)**3/3
Let b(s) = s**3 - 2*s**2 - 2*s + 2. Let o be b(3). Determine q so that -2*q - o*q + 2*q**2 + q + 7*q**2 - 3*q**3 = 0.
0, 1, 2
Factor 4*a**3 + 2*a**3 + 3*a**4 + 2*a**2 + a**2.
3*a**2*(a + 1)**2
Let d(b) = -b**2 + 8*b + 11. Let h(y) be the third derivative of -y**5/60 + y**4/24 + y**3/6 + 5*y**2. Let c(w) = d(w) - 2*h(w). Let c(o) = 0. What is o?
-3
Let u(m) be the first derivative of m**4/4 - 2*m**2 + 12. Factor u(i).
i*(i - 2)*(i + 2)
Let i(o) = o**5 + o**4 - 2*o**3 - 7*o**2 - 7*o - 1. Let q(j) = j**4 - j**2 - 1. Let b(t) = i(t) + q(t). Let b(c) = 0. What is c?
-1, 2
Let y be ((-12)/5)/(-2)*-280. Let o = y + 1698/5. Find m, given that -14/5*m**3 + 0 - 4/5*m - o*m**2 = 0.
-1, -2/7, 0
Let z(p) = -3*p**2 + p + 9. Let c(m) = -2*m**2 - 6*m + 11. Let v(o) = o - 1. Let y(n) = c(n) + 6*v(n). Let q(k) = -5*y(k) + 3*z(k). Solve q(s) = 0 for s.
-2, -1
Let c(x) be the third derivative of 0*x**5 - 1/72*x**4 + 1/360*x**6 + 0 + 0*x**3 + 0*x + 5*x**2. Suppose c(d) = 0. What is d?
-1, 0, 1
Find u, given that -8*u**3 + 10*u**3 - 2*u**2 - 2*u + 2*u = 0.
0, 1
Let p(c) = -11*c**3 - c**2 + 6*c + 4. Let u(j) = 34*j**3 + 3*j**2 - 17*j - 11. Let h(y) = -11*p(y) - 4*u(y). Find n, given that h(n) = 0.
-2/5, 0, 1/3
Let q(k) be the third derivative of 0*k**3 + 0 + 0*k**6 - 2/1155*k**7 - 1/1848*k**8 - 4*k**2 + 1/132*k**4 + 0*k + 1/165*k**5. Factor q(i).
-2*i*(i - 1)*(i + 1)**3/11
Let c = 109 - 109. Factor 0*h + 0*h**2 - 2/9*h**3 + c.
-2*h**3/9
Let b(h) be the first derivative of -h**5/60 + h**3/6 + h**2/3 + 3*h - 2. Let o(m) be the first derivative of b(m). Factor o(x).
-(x - 2)*(x + 1)**2/3
Suppose 4*h - 5*c = -17, 7*c - 9*c + 6 = -2*h. Suppose 0*a**h + 1/2*a - 1/2*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let f(q) be the first derivative of q**5/15 + q**4/4 + q**3/3 + q**2/6 - 4. Factor f(l).
l*(l + 1)**3/3
Let y(x) be the third derivative of x**7/840 - x**6/360 - x**5/120 + x**4/24 - x**3/3 + 3*x**2. Let k(z) be the first derivative of y(z). Factor k(b).
(b - 1)**2*(b + 1)
Find p, given that -9/2*p + 12*p**3 - 1 - p**2 - 15/2*p**5 + 2*p**4 = 0.
-1, -2/5, -1/3, 1
Let -2*o - 16 + o - 4*o**2 + 17*o = 0. What is o?
2
Let s(f) = -f**3 + f**2 - f + 1. Let z(p) = -7*p**2 - 8*p - 5. Let m(g) = 3*s(g) + 3*z(g). Factor m(i).
-3*(i + 1)**2*(i + 4)
Let k(j) = 70*j**2 - 140*j + 15. Let t(v) = -5*v**2 + 10*v - 1. Let q(r) = -4*k(r) - 55*t(r). Solve q(x) = 0 for x.
1
Factor -2/7*r**3 + 0 + 0*r**2 + 0*r