. Let 6/7*v**w - 8/7*v - 2/7*v**4 + 0 + 0*v**2 = 0. Calculate v.
-1, 0, 2
Let i(k) be the third derivative of -k**7/42 - k**6/12 + k**5/4 + 5*k**4/6 - 10*k**3/3 + 5*k**2. Factor i(p).
-5*(p - 1)**2*(p + 2)**2
Let y(w) be the third derivative of -w**7/1155 - w**6/220 + w**4/33 + 39*w**2. Let y(s) = 0. Calculate s.
-2, 0, 1
Let z(x) be the first derivative of -4*x + 11/2*x**4 + 22/3*x**3 + 6/5*x**5 + x**2 + 2. Factor z(b).
2*(b + 1)**2*(b + 2)*(3*b - 1)
Let b(u) be the second derivative of -u**10/30240 + u**9/12096 - u**8/26880 - u**4/6 + u. Let p(a) be the third derivative of b(a). Factor p(t).
-t**3*(t - 1)*(4*t - 1)/4
Suppose 2*m - 3 - 5 = 0. Suppose -5*c + 4 = k, -3*c - m*k = -0*k - 16. Factor 2/9*l - 2/9*l**3 + 2/9*l**2 + c - 2/9*l**4.
-2*l*(l - 1)*(l + 1)**2/9
Let q(b) be the third derivative of -b**7/20 + 3*b**6/20 - 3*b**5/40 - b**4/8 + 16*b**2. Find s, given that q(s) = 0.
-2/7, 0, 1
Suppose -9 = p - 4*q - 30, 25 = p - 5*q. Factor -p*m - 2*m**3 + 14*m - 7*m.
-2*m*(m - 1)*(m + 1)
Solve -10/9*v - 2/9*v**2 - 8/9 = 0 for v.
-4, -1
Suppose -18 = 8*j - 14*j. Let q(w) be the first derivative of 0*w**2 - 1 - 2/9*w**j + 2/3*w. Factor q(d).
-2*(d - 1)*(d + 1)/3
Let s be (-5 + 6)/(1 + 2). Suppose -2*k + 2 = -k. Solve x - 2/3 - s*x**k = 0.
1, 2
Suppose 2*q = -0*q - 8*q. Factor 5/2*d**4 - 6*d**3 - d + q + 9/2*d**2.
d*(d - 1)**2*(5*d - 2)/2
Let s(x) be the third derivative of 0*x - 1/210*x**6 + 0 + 0*x**4 + 1/735*x**7 + 0*x**3 + 1/210*x**5 - 3*x**2. Determine v, given that s(v) = 0.
0, 1
Suppose 0 + 1/10*k**4 - 1/10*k**5 + 0*k - 1/10*k**2 + 1/10*k**3 = 0. What is k?
-1, 0, 1
Suppose -2*d - 3 + 13 = 0, 4*b - 3*d - 1 = 0. Solve -l**2 + 2*l + 0*l - 25*l**b + 26*l**4 + l**3 - 3*l = 0 for l.
-1, 0, 1
Suppose 10 + j**3 - 5*j**2 + 26*j**2 - j**2 + 4*j**3 + 25*j = 0. Calculate j.
-2, -1
Let w(p) be the third derivative of -p**5/15 - p**4/2 - 4*p**3/3 - 11*p**2. Factor w(x).
-4*(x + 1)*(x + 2)
Suppose -1 + 5 = 2*c. Suppose 0 = -2*g - c*g + 16. Find h, given that 9*h**2 + 3*h - 5*h**2 - 2*h**5 + 3*h**g - 7*h**4 - h = 0.
-1, 0, 1
Suppose -5*i - 9 = 1. Let b be -1*(-5 - (-2 - i)). Factor 2*x**2 + 3*x**3 + b + x - 4 - 7*x**2.
(x - 1)**2*(3*x + 1)
Let x(a) be the third derivative of -a**6/80 - 21*a**5/40 - 99*a**4/16 + 121*a**3/4 - 2*a**2 - 49. Solve x(j) = 0.
-11, 1
Let r(d) be the first derivative of 2*d**5/105 - 2*d**4/21 + 8*d**3/63 - 15. Find j, given that r(j) = 0.
0, 2
Let b = -30 - 19. Let i = -93/2 - b. Find k such that i*k**4 + k + 0 - 5/2*k**2 - k**3 = 0.
-1, 0, 2/5, 1
Suppose 0 = -2*u + 8, u + 4 = 5*b + 2*u. Factor -8/9*c**4 + 0 + 2/9*c**5 + 0*c**2 + 8/9*c**3 + b*c.
2*c**3*(c - 2)**2/9
Let u = -2748/11 - -250. What is i in 0 + u*i**2 + 2/11*i = 0?
-1, 0
Suppose i = -i. Let a(h) be the third derivative of i*h**4 + 0 + 1/240*h**5 + 0*h**3 + 0*h - 2*h**2. Factor a(m).
m**2/4
Suppose 9 = 5*d - 1. Let k be (-6)/(-12) - (-5)/d. Find q, given that -2*q**k - 2*q**3 + q**2 + 3*q**3 = 0.
0, 1
Let g(u) be the third derivative of u**6/2700 + u**5/300 + u**4/90 - 2*u**3/3 - 2*u**2. Let c(f) be the first derivative of g(f). Factor c(y).
2*(y + 1)*(y + 2)/15
Let y(x) = 38*x**2 - 56*x - 16. Let s(o) = -13*o**2 + 19*o + 5. Suppose 0 = -2*i - 0*i - 6. Let b(a) = i*y(a) - 8*s(a). Factor b(g).
-2*(g - 2)*(5*g + 2)
Let a(n) be the second derivative of -n**7/360 + n**6/360 - 5*n**4/12 - n. Let j(u) be the third derivative of a(u). Suppose j(p) = 0. What is p?
0, 2/7
Let o(i) = -31*i**4 - 28*i**3 - 8*i**2 - 11*i. Let s(w) = 8*w**4 + 7*w**3 + 2*w**2 + 3*w. Let g(d) = -6*o(d) - 22*s(d). Factor g(j).
2*j**2*(j + 1)*(5*j + 2)
Factor 12*y - 3/4*y**2 - 48.
-3*(y - 8)**2/4
Let h = -1336/3 - -449. Let x(v) be the second derivative of -2*v**2 + 0 - h*v**3 + v - 3/2*v**4. What is a in x(a) = 0?
-1, -2/9
Let g be ((-36)/(-20) - -3) + -4 - 0. Solve -g*k + 2/5*k**2 + 0 = 0.
0, 2
Suppose 8 = -3*p + 23. Suppose p*q - 7*q = -6. Factor 0 - 2/9*n**4 + 4/9*n**q - 2/9*n**2 + 0*n.
-2*n**2*(n - 1)**2/9
Let f(k) be the first derivative of 12*k**4 - 44*k**3/3 - 4*k**2 + 4*k + 3. Suppose f(n) = 0. Calculate n.
-1/3, 1/4, 1
Find y, given that -24*y - 32/5 - 36/5*y**4 - 116/5*y**3 - 172/5*y**2 - 4/5*y**5 = 0.
-4, -2, -1
Let j = 663/4 + -165. Let 0*i - 5/4*i**3 + 0 + 7/4*i**4 - j*i**5 + 1/4*i**2 = 0. What is i?
0, 1/3, 1
Let c be 15/(-35) - 162/(-280). Let r(o) be the second derivative of -1/2*o**3 + 0 + o + 1/20*o**6 + 0*o**4 - 3/4*o**2 + c*o**5. Suppose r(m) = 0. What is m?
-1, 1
Let g(s) be the third derivative of 0*s + 1/10*s**5 + 0 - 7/60*s**6 + s**2 - 2/35*s**7 + 1/4*s**4 - 1/3*s**3. Suppose g(o) = 0. Calculate o.
-1, 1/3, 1/2
Let t be (-6)/(-18)*2/6. Let g(y) be the first derivative of t*y**2 + 2/27*y**3 + 0*y - 1. What is k in g(k) = 0?
-1, 0
Let h(o) be the third derivative of o**5/20 - o**4/4 - 4*o**2. Factor h(b).
3*b*(b - 2)
Suppose 3*c - 10 = -2*u + u, 0 = 4*c - 3*u - 35. Solve 3*g**2 + 2*g**c - 2*g + 2*g**2 + 0*g - g**2 - 4*g**4 = 0 for g.
-1, 0, 1
Let j(y) = -y**2 + 10*y - 3. Let o be j(9). Let q be 1 - (o/(-3) - 0). Determine x so that -2 + 5*x - 2*x**3 - x**2 + q*x**2 - 3*x = 0.
-1, 1
Let x(u) = -2*u**3 + 2*u**2 + 10. Let b(t) = t**3 - t**2 - 3. Let k(d) = -10*b(d) - 3*x(d). Solve k(j) = 0.
0, 1
Let b(m) be the first derivative of -5*m**3/3 - 15*m**2 - 45*m + 7. Let b(o) = 0. Calculate o.
-3
Let f(j) be the first derivative of 3*j**3/5 - 3*j**2/10 + 21. Factor f(c).
3*c*(3*c - 1)/5
Let q(x) be the third derivative of x**9/10080 - x**8/10080 - x**7/1260 + x**5/30 + x**2. Let d(m) be the third derivative of q(m). Solve d(c) = 0.
-2/3, 0, 1
Let a(b) be the third derivative of b**8/84 - b**7/30 + b**6/60 + b**5/60 - 6*b**2. Find f such that a(f) = 0.
-1/4, 0, 1
Let o(u) be the third derivative of -u**5/30 - u**4/3 - u**3 + 62*u**2. Factor o(p).
-2*(p + 1)*(p + 3)
Let a = -106 - -111. Suppose -z**2 + 1/2 + z**3 - 1/2*z**a - 1/2*z + 1/2*z**4 = 0. Calculate z.
-1, 1
Let p(t) be the third derivative of -t**7/280 - 3*t**6/160 - 3*t**5/80 - t**4/32 - 6*t**2. Factor p(o).
-3*o*(o + 1)**3/4
Let o(s) be the first derivative of -1/24*s**3 + 1 - 1/48*s**4 + 0*s - 1/240*s**5 + s**2. Let z(g) be the second derivative of o(g). Solve z(j) = 0 for j.
-1
Let o(f) be the second derivative of 5*f**7/42 - f**6/3 - f**5/4 + 5*f**4/6 - 31*f. Factor o(a).
5*a**2*(a - 2)*(a - 1)*(a + 1)
Factor 4/3*s**4 + 0*s**2 - 2/3*s**5 + 0 - 2/3*s**3 + 0*s.
-2*s**3*(s - 1)**2/3
Let a(x) be the first derivative of 2*x**6/3 + 8*x**5/5 - 8*x**3/3 - 2*x**2 - 9. Factor a(i).
4*i*(i - 1)*(i + 1)**3
Let p(d) = d**3 - 7*d**2 + 2. Let w be p(7). Find l such that -8/3*l**w - 2*l + 2/3 = 0.
-1, 1/4
Let g(z) be the second derivative of -1/12*z**4 - 1/30*z**6 + 0*z**2 - 2*z + 1/10*z**5 + 0*z**3 + 0. Let g(n) = 0. Calculate n.
0, 1
What is d in -57*d**3 - 9*d**4 - 3*d**5 - 54*d**3 + 105*d**3 = 0?
-2, -1, 0
Suppose 8*k - 4*k**2 + 4*k - 11 + 27 = 0. Calculate k.
-1, 4
Suppose 0 = -2*i + 5*k + 18, -3*i - 3*k = -0*k - 6. Let j be i/(-14) + 69/21. Suppose j*t - 4*t - 2*t**2 + 3*t**2 = 0. Calculate t.
0, 1
Let v(r) be the first derivative of 2*r**3/15 - 8*r**2/5 + 32*r/5 + 7. Factor v(d).
2*(d - 4)**2/5
Let g be ((-2)/(-8))/((-7)/(-14)). Let v(m) be the first derivative of -2 + m**3 + g*m**2 - 2*m. Factor v(d).
(d + 1)*(3*d - 2)
Suppose -64 - 1/4*b**2 - 8*b = 0. What is b?
-16
Let k(d) = -6*d**3 - 16*d**2 - 52*d - 11. Let t(o) = o**3 + 3*o**2 + 10*o + 2. Let r(y) = -2*k(y) - 11*t(y). Suppose r(j) = 0. Calculate j.
-2, 0, 3
Let n(l) = 25*l**3 - 48*l**2 + 23*l - 9. Let p(o) = -6*o**3 + 12*o**2 - 6*o + 2. Let i(k) = 2*n(k) + 9*p(k). Factor i(r).
-4*r*(r - 2)*(r - 1)
Factor 0 + 4/13*a + 8/13*a**3 + 2/13*a**4 + 10/13*a**2.
2*a*(a + 1)**2*(a + 2)/13
Let 0*a + 0 + 0*a**3 + 2/5*a**5 + 6/5*a**4 - 8/5*a**2 = 0. Calculate a.
-2, 0, 1
Let d = 40 + -38. Let o(z) be the second derivative of 0 - 2*z - 1/6*z**3 - 1/12*z**4 + 1/2*z**d + 1/20*z**5. Factor o(n).
(n - 1)**2*(n + 1)
Let g(k) be the second derivative of 2*k - 1/3*k**3 + 1/12*k**4 + 0*k**2 + 0 - 1/30*k**6 + 1/10*k**5. Factor g(b).
-b*(b - 2)*(b - 1)*(b + 1)
Suppose 0 = 4*p - p + 9. Let w be p + 10/4*2. Find v such that 0 - 1/2*v - 1/2*v**w = 0.
-1, 0
Let l(h) be the third derivative of 1/140*h**7 - 7/32*h**4 - 1/4*h**3 + 0 + 0*h + 1/448*h**8 + 3*h**2 - 1/80*h**6 - 1/10*h**5. Factor l(b).
3*(b - 2)