 - 3*d**3 = 0.
-1, 1
Find w, given that 0 + 6/7*w - 9/7*w**2 + 3/7*w**3 = 0.
0, 1, 2
Determine p so that 1/2*p**2 + 0*p + 0 + 3/2*p**4 - 2*p**3 = 0.
0, 1/3, 1
Determine s, given that 0*s + 0 + 0*s**4 - 3/7*s**3 + 0*s**2 + 3/7*s**5 = 0.
-1, 0, 1
Let s(p) = -85*p**5 - 505*p**4 - 935*p**3 + 25*p**2 + 25*p. Let j(v) = 7*v**5 + 42*v**4 + 78*v**3 - 2*v**2 - 2*v. Let l(f) = -25*j(f) - 2*s(f). Factor l(h).
-5*h**3*(h + 4)**2
Suppose 173 = 4*v + 169. Factor -v - 1/2*s**2 + 3/2*s.
-(s - 2)*(s - 1)/2
Let f(q) = -q**4 - q**3 + q**2 - 7*q. Let n(s) = s**4 + 2*s**3 + 8*s + 1. Let k(l) = -6*f(l) - 4*n(l). Factor k(z).
2*(z - 1)**3*(z + 2)
Factor 137*i**2 - 3*i**5 - 10 + 8*i**5 - 127*i**2 - 20*i**3 + 15*i.
5*(i - 1)**3*(i + 1)*(i + 2)
Let y(b) = -b**3 + 11*b**2 - 2. Let h be y(11). Let l be 2/(4/(-16)*h). Factor -2/7*c**3 + 0 + 2/7*c**l + 2/7*c - 2/7*c**2.
2*c*(c - 1)**2*(c + 1)/7
Let n = 23063/396 - -9/44. Let m = n + -58. Find z such that -2/9*z**3 + 0 - 2/9*z - m*z**2 = 0.
-1, 0
Let j(a) be the first derivative of 4*a**5/5 - 8*a**3/3 + 4*a - 6. Factor j(m).
4*(m - 1)**2*(m + 1)**2
Let z be -4 - (424/(-60) - -3). Let u(d) be the third derivative of 0 - 1/6*d**3 - 5/24*d**4 - z*d**5 + 0*d - 3*d**2. What is g in u(g) = 0?
-1, -1/4
Let u(x) = -x**5 - x**4 + x**2 - x - 1. Let j(o) = -25*o**5 - 20*o**4 + 15*o**3 + 30*o**2 - 20*o - 20. Let z(f) = -j(f) + 20*u(f). Factor z(y).
5*y**2*(y - 2)*(y + 1)**2
Determine x, given that 2/5*x**5 + 2/5*x**4 - 6/5*x**3 - 2/5*x**2 + 0 + 4/5*x = 0.
-2, -1, 0, 1
Let r be 4/(-12)*174/(-10) - -2. What is a in -18/5*a**5 - r*a**4 + 0 - 27/5*a**3 - 6/5*a**2 + 0*a = 0?
-1, -2/3, -1/2, 0
Factor -x - 19 + 18 + 3*x - x**2 + 0*x**2.
-(x - 1)**2
Let q(b) = -2*b - 3. Let p be q(-2). Suppose -2*g + 1 = -p. Factor -3*v**2 + g + 8*v**2 - 2*v**3 + 0*v - 4*v.
-(v - 1)**2*(2*v - 1)
Suppose u + 2*z + 4 = 8, -u + 2*z + 4 = 0. Suppose -6*n**5 - 49*n**3 - 5*n**4 + 52*n**3 + 2*n**u = 0. Calculate n.
-1, 0, 1/2
Let l = -74 - -74. Let k(d) be the first derivative of 0*d + 1/6*d**4 - 3 + l*d**2 - 2/9*d**3. Factor k(q).
2*q**2*(q - 1)/3
Suppose 4/5*w**2 + 4/5*w - 8/5 = 0. Calculate w.
-2, 1
Let u(x) be the third derivative of x**6/30 - x**5/3 + 4*x**4/3 - 8*x**3/3 - 48*x**2. Find b, given that u(b) = 0.
1, 2
Let w be -2 - (2 + (-7)/1). Factor -4*z + 1 + w*z**2 + 5*z - 3.
(z + 1)*(3*z - 2)
Let a(g) = -6*g**3 - 5*g**2 - 13*g - 9. Let r(n) = 7*n**3 + 5*n**2 + 14*n + 10. Let k(f) = 6*a(f) + 5*r(f). Let k(y) = 0. What is y?
-2, -1
Let c(w) = w**4 - w**3 - 17*w**2 + w - 8. Let g(k) = -6*k**2 - 3. Let o(b) = -3*c(b) + 8*g(b). Factor o(z).
-3*z*(z - 1)**2*(z + 1)
Let o(k) be the first derivative of -k**2/2 + k - 5. Let t(z) = 12*z**2 + 9*z - 21. Let j(v) = -18*o(v) - t(v). Let j(x) = 0. What is x?
-1/4, 1
Let q(i) be the first derivative of 4*i**3/3 - 106*i**2/5 - 88*i/5 - 46. Find r, given that q(r) = 0.
-2/5, 11
Suppose 14 = 3*h + 2*y + 4, 0 = 4*h + 2*y - 14. Let f(g) be the first derivative of 3/8*g**h + 1/2*g**3 - 3/2*g - 3/4*g**2 + 4. Factor f(b).
3*(b - 1)*(b + 1)**2/2
Let b = -69 - -211/3. Determine g so that -8/3*g**5 - b*g**2 + 2/3*g**4 + 2/3 - 8/3*g + 16/3*g**3 = 0.
-1, 1/4, 1
Suppose 4*p + 5 = 17. Let k(f) be the first derivative of -4 + 1/3*f**2 - 1/6*f**4 + 0*f**p + 0*f. Solve k(a) = 0.
-1, 0, 1
Let s(d) be the second derivative of 1/2*d**2 + 0*d**3 + 0*d**5 + 1/30*d**6 - 3*d - 1/6*d**4 + 0. Determine i so that s(i) = 0.
-1, 1
Let k(n) be the first derivative of 0*n + 1/25*n**5 + 0*n**2 + 0*n**3 + 5 + 1/30*n**6 + 0*n**4. Factor k(z).
z**4*(z + 1)/5
Determine x, given that -14/3*x**2 + 0 + 32/3*x**4 - 2/3*x - 16/3*x**3 = 0.
-1/4, 0, 1
Let t(j) be the third derivative of -j**6/120 - 13*j**5/60 - j**4/2 + j**3/3 + j**2. Let n be t(-12). What is h in -2 - 1/2*h**2 + n*h = 0?
2
Let z(u) be the first derivative of -u**5/30 - u**4/4 - u**3/2 + u**2/3 + 2*u - 21. Let z(v) = 0. Calculate v.
-3, -2, 1
Let r(x) be the second derivative of 3*x**5/160 - 3*x**4/16 + 3*x**3/4 - 3*x**2/2 - 24*x. Find q such that r(q) = 0.
2
Let x(o) be the first derivative of o**6/9 + 3*o**5/5 + 4*o**4/3 + 14*o**3/9 + o**2 + o/3 + 7. Let x(l) = 0. What is l?
-1, -1/2
Factor 6*v**2 + 0 + 8/3*v + 4*v**3 + 2/3*v**4.
2*v*(v + 1)**2*(v + 4)/3
What is k in 4*k - 8*k**3 + 19*k**5 - 30*k**5 + 15*k**5 = 0?
-1, 0, 1
Suppose 0 = -5*v - 5*a, -3*v + 4*a + 25 = -2*v. Suppose v*k - 9 = 11. Factor -4*l**3 + 0*l + 2*l**2 + 0*l + 2*l**k.
2*l**2*(l - 1)**2
Let m(w) = -w**2 - 9*w - 8. Let b be m(-8). Factor 2 - y - 4*y**2 + b*y + 2*y**2 + y**2.
-(y - 1)*(y + 2)
Let n be (5/15)/(10/3). Let o(g) be the second derivative of 0 + 2*g + 0*g**2 + n*g**5 + 7/30*g**4 + 2/15*g**3. Let o(m) = 0. Calculate m.
-1, -2/5, 0
Let s be 3/12*(8 - 4). Factor 3/2*r - r**2 + s.
-(r - 2)*(2*r + 1)/2
Let y(i) be the third derivative of i**8/20160 + i**7/5040 - i**6/360 - i**5/20 - i**2. Let h(g) be the third derivative of y(g). Find k, given that h(k) = 0.
-2, 1
Factor -8/7 - 2/7*x**2 + 8/7*x.
-2*(x - 2)**2/7
Let l = 10 + -6. Determine s, given that 0*s**4 + 3*s**5 + 0*s**4 + 2*s**l + 5*s**5 = 0.
-1/4, 0
Let t(x) be the third derivative of x**5/100 - x**4/40 - 3*x**3/5 + 18*x**2. Factor t(w).
3*(w - 3)*(w + 2)/5
Let g(w) be the third derivative of w**5/12 - 5*w**4/8 - 4*w**2. Factor g(f).
5*f*(f - 3)
Let h(t) be the third derivative of 0*t**4 + 0*t + 0 + 1/10*t**5 + 6*t**2 - 4/3*t**3 - 1/60*t**6. Find d, given that h(d) = 0.
-1, 2
Let w be -11 - (-4 - (3 - 4)). Let c = w + 10. Factor 1/2*o**3 - 1/2*o**5 + 0 + 0*o**c + 0*o**4 + 0*o.
-o**3*(o - 1)*(o + 1)/2
Suppose 0 = -4*r - 4*h + 40, -3*r - 2*r + 4*h + 5 = 0. Suppose -5*i + 5 + 10 = 0. Factor -r + 4*n + 4 - i*n**2 + 2*n**2 - 6*n.
-(n + 1)**2
Let u(p) = p**4 + p**3 - p**2. Let x = 6 + -12. Let i(v) = -2*v**4 - v**3 + 7*v**2. Let m(f) = x*u(f) - i(f). Factor m(h).
-h**2*(h + 1)*(4*h + 1)
Let c(y) be the third derivative of y**7/2520 - y**5/360 + y**3/2 - 3*y**2. Let m(p) be the first derivative of c(p). Factor m(b).
b*(b - 1)*(b + 1)/3
Let q(x) be the first derivative of 0*x + 1/4*x**4 + 0*x**2 - 1/6*x**6 - 6 - 1/5*x**5 + 1/3*x**3. Suppose q(z) = 0. Calculate z.
-1, 0, 1
Let c be (-16)/10*70/(-4). Suppose g - c = -5*q, g - 4*q = -4*g - 5. Determine m, given that -m**5 - m**4 - m**g + m**3 = 0.
-1, 0
Suppose -2*c + 4*g = -26, 4*c - 54 = 5*g - 11. Suppose -1 - c = -4*x. Factor 1/3*l**3 + 1/3 - 1/3*l**x - 1/3*l.
(l - 1)**2*(l + 1)/3
Determine v so that 72/11 + 24/11*v + 2/11*v**2 = 0.
-6
Let b(q) be the third derivative of 1/12*q**4 + 0 - 1/12*q**3 - 1/60*q**5 + 1/140*q**7 + 2*q**2 - 1/60*q**6 + 0*q. Find o such that b(o) = 0.
-1, 1/3, 1
Let -14 - 9 + 4*f**5 - 10*f**4 + 30 - 2*f**3 - 11 + 14*f**2 - 2*f = 0. What is f?
-1, -1/2, 1, 2
Let o(w) be the first derivative of 1/2*w**2 + 3/2*w - 5 + 1/18*w**3. Factor o(l).
(l + 3)**2/6
Suppose -5 - 13 = 3*b. Let y be (-8)/(-3) + 4/b. Determine u so that -13 - 12*u + 2*u**y + 31 + 0*u**2 = 0.
3
Factor 0 - 1/2*j - 9/10*j**2 + 1/10*j**4 - 3/10*j**3.
j*(j - 5)*(j + 1)**2/10
Suppose -5/2*y**2 - 2*y**3 - y - 1/2*y**4 + 0 = 0. Calculate y.
-2, -1, 0
Let k be ((-2)/(-3))/(4 + 75/(-20)). Let n(g) be the first derivative of -3 - k*g**3 + 3/4*g**4 - 2*g + 7/2*g**2. Factor n(o).
(o - 1)**2*(3*o - 2)
Determine p so that 10*p - 10*p**3 - 8 + 61*p**2 + 2 - 55*p**2 = 0.
-1, 3/5, 1
Solve -t**3 + 6*t + 0*t**3 + 0*t**3 - 4*t - t**2 = 0.
-2, 0, 1
Let j = 184/3 + -61. Factor -j*u**5 + 2/3*u**3 + 0 - 1/3*u + 0*u**4 + 0*u**2.
-u*(u - 1)**2*(u + 1)**2/3
Suppose -2*q - 14 = -4*q. Factor q*y**2 + 0 + 1 + 1 - 9*y.
(y - 1)*(7*y - 2)
Let n(g) = -g**3 + g**2 + g + 1. Let t = -26 + 14. Let x(m) = 14*m**3 - 12*m**2 - 12*m - 12. Let b(l) = t*n(l) - x(l). Factor b(o).
-2*o**3
Factor 2/5*a**4 - 4/5*a**3 + 4/5*a + 6/5 - 8/5*a**2.
2*(a - 3)*(a - 1)*(a + 1)**2/5
Let o be (-18)/(-4)*12/18. Factor 2/9 + 2/3*u**4 + 8/3*u**2 + 20/9*u**o + 4/3*u.
2*(u + 1)**3*(3*u + 1)/9
Let w(m) be the first derivative of -m**5/5 - 23*m**4/4 - 143*m**3/3 - 121*m**2/2 + 28. Let w(d) = 0. What is d?
-11, -1, 0
Let m be (-1 - 50/(-14)) + 1632/3808. Solve -2/3 + 10/3*o**m - 5/3*o + 4/3*o**2 - 5/3*o**5 - 2/3*o**4 = 0.
-1, -2/5, 1
Let p(s) be the third derivative of -s**5/180 + 5*s**4/72 - 22*s**2. Determine n so that p(n) = 0.
0, 5
Suppose -12 = -2*t - t. Determine w so that 0*w**2 - 12*w - 13*w**