 0.
-1
Find g, given that 4*g**2 + 0 - 6/5*g + 26/5*g**3 = 0.
-1, 0, 3/13
Let y(f) be the second derivative of 0*f**2 - 4*f - f**3 - 3/14*f**7 + 1/4*f**4 - 1/10*f**6 + 0 + 3/4*f**5. Solve y(h) = 0.
-1, 0, 2/3, 1
Let t(f) = -3 - 7*f**3 + 1 + f**3 + 10*f**2 - 9. Let s(v) = -v**3 + 2*v**2 - 2. Let d(q) = 11*s(q) - 2*t(q). Solve d(j) = 0 for j.
-2, 0
Let c(o) be the first derivative of 3*o**5/25 - 3*o**4/20 - 2*o**3/5 - 32. Factor c(g).
3*g**2*(g - 2)*(g + 1)/5
Factor 3/5*f**2 - 6/5 + 3/5*f.
3*(f - 1)*(f + 2)/5
Let x(v) = -v**2 + 13*v. Let y(z) = -13*z + 2*z**2 + 4*z - z**2. Let i(b) = -5*x(b) - 7*y(b). Factor i(d).
-2*d*(d + 1)
Suppose -4*u = 4*q - q + 6, -4*q = 3*u + 8. Let k(s) be the third derivative of 0*s + 1/300*s**6 - 1/75*s**5 + 0*s**3 + 2*s**2 + u + 1/60*s**4. Factor k(r).
2*r*(r - 1)**2/5
Suppose -23*f - 18*f**2 - 30 + 2*f - f + 26 = 0. What is f?
-1, -2/9
Factor 1/2 + 5/2*t**2 - t**3 - 2*t.
-(t - 1)**2*(2*t - 1)/2
Let x(a) = a**5 + a**4 - a**3 + a. Let k(c) = 11*c**5 - 44*c**4 + 64*c**3 - 25*c**2 - 14*c + 10. Let n(g) = k(g) - x(g). Let n(q) = 0. What is q?
-1/2, 1, 2
Let m = 0 + 3. Factor 2*q + 2*q**2 - q**2 + 2*q + m.
(q + 1)*(q + 3)
Let o(d) = 6*d**4 + 23*d**3 + 23*d**2 + 6*d - 5. Let t(x) = 9*x**4 + 34*x**3 + 34*x**2 + 9*x - 7. Let k(v) = 7*o(v) - 5*t(v). Factor k(s).
-3*s*(s + 1)**3
Suppose 4*f + 7*k + 45 = 2*k, 0 = 4*f - 3*k + 5. Let x be 8 + -11 - (f + 0). Let 6/5*n**5 - 8/5*n**4 - 2/5*n**3 + 0 + 0*n + 4/5*n**x = 0. Calculate n.
-2/3, 0, 1
Let t be 2/(-1)*(-6)/4. Find s such that -3*s + 2*s**3 + 8*s + 0*s**3 - 2 - s**t - 4*s**2 = 0.
1, 2
Factor 3*k**5 + 2 + 1 + 6*k**3 - 5*k**2 + 6*k**2 - 9*k + 5*k**2 - 9*k**4.
3*(k - 1)**4*(k + 1)
Let c = 5 + -3. Suppose 4 = 2*t - 6. Factor 3*a + 7*a**4 - 3*a**4 - 4*a**2 - a - c*a**t.
-2*a*(a - 1)**3*(a + 1)
Let f = -10 - -12. Determine b, given that 4*b**3 - b**3 - 6*b**4 - 3*b**4 + 9*b**f + 5*b**5 - 6*b - 2*b**5 = 0.
-1, 0, 1, 2
Let s(t) be the second derivative of 0*t**2 - 5/66*t**4 - 4*t + 0 - 1/55*t**6 - 1/33*t**3 - 7/110*t**5. Factor s(o).
-2*o*(o + 1)**2*(3*o + 1)/11
Let l = -36 + 50. Find u, given that -4*u**2 + 2 - 8*u - 13*u + l*u = 0.
-2, 1/4
Let z(r) be the third derivative of r**9/30240 - r**8/5600 + r**7/4200 + r**6/1800 + r**5/60 + 10*r**2. Let k(l) be the third derivative of z(l). Factor k(w).
2*(w - 1)**2*(5*w + 1)/5
Let z = -6 + 6. Factor -5*s**3 + 15*s**2 + z*s + 6*s + 14*s**3.
3*s*(s + 1)*(3*s + 2)
Let r(o) = -4*o**2 + 11*o - 4. Let c(v) = -9*v**2 - 3*v**2 + 59 + 34*v - 71. Let g(z) = -3*c(z) + 10*r(z). Factor g(q).
-4*(q - 1)**2
Factor 3*m - m**3 + 935 + 0*m**2 + 0*m**2 - 937.
-(m - 1)**2*(m + 2)
Let d(n) be the second derivative of 0 + 1/540*n**6 + 1/36*n**4 - 3/2*n**2 + 2*n - 1/27*n**3 - 1/90*n**5. Let j(o) be the first derivative of d(o). Factor j(z).
2*(z - 1)**3/9
Let v be (0 - -1)/(2/6). Let k = 18 + -16. Factor -4*j**2 + 1 + 6*j + 9*j**k + 2*j**v - 2*j.
(j + 1)**2*(2*j + 1)
Let g(p) be the first derivative of p**6/12 - p**5/10 - 5*p**4/8 - p**3/2 - 1. Factor g(d).
d**2*(d - 3)*(d + 1)**2/2
Factor 4/3 - 4/3*p**2 + 1/3*p - 1/3*p**3.
-(p - 1)*(p + 1)*(p + 4)/3
Factor 1/2*a**4 - 3/2*a**2 + 4*a - a**3 - 2.
(a - 2)*(a - 1)**2*(a + 2)/2
Let c be (-1)/2*(-18)/5. Let r(y) = y**3 + 17*y**2 + 17*y + 18. Let d be r(-16). Let c*b**d + b**3 + 7/5*b + 1/5*b**4 + 2/5 = 0. What is b?
-2, -1
Suppose 2*q = 7*q + 5. Let k = 4 + q. Factor 2*d**2 + 4*d + 4*d**3 - 4*d**k - 8*d**2 + 2*d**3.
2*d*(d - 2)*(d - 1)
Let d be 2848/10 + 0 - -2. Let w = -284 + d. Solve 2/5*b + 38/5*b**3 + w*b**4 - 4/5 + 6*b**2 = 0 for b.
-1, 2/7
Let w = -67 - -67. Let s(b) be the third derivative of b**2 + 4/25*b**5 - 1/10*b**4 + w*b + 1/30*b**3 + 0 - 8/75*b**6. Factor s(g).
-(4*g - 1)**3/5
Let t = 4525/7 + -645. Suppose t*z**3 + 16/7 + 44/7*z**2 + 8*z = 0. Calculate z.
-2, -2/5
Let a(b) be the first derivative of b**4/15 + 3*b**3/10 + b**2/5 + 2*b + 6. Let i(q) be the first derivative of a(q). Let i(z) = 0. Calculate z.
-2, -1/4
Factor -2/3*x**3 + 2/3*x - 8/3*x**2 + 8/3.
-2*(x - 1)*(x + 1)*(x + 4)/3
Let f(z) = -25*z**4 - 97*z**3 - 112*z**2 - 52*z - 8. Let h(k) = -k**3 + k**2. Let c(o) = f(o) - 2*h(o). Factor c(b).
-(b + 1)*(b + 2)*(5*b + 2)**2
Let d(o) be the second derivative of -3*o**4/16 - o**3/6 - 28*o. Factor d(c).
-c*(9*c + 4)/4
Let q(b) be the second derivative of -b**4/24 + b**3/4 + 8*b. Solve q(p) = 0.
0, 3
Let p(v) = -25*v**2 - 17*v + 3. Let q(w) = 24*w**2 + 16*w - 4. Let c(n) = -4*p(n) - 5*q(n). Let c(j) = 0. Calculate j.
-1, 2/5
Factor w**4 + 0*w - 3*w**3 + 5/3*w**2 + 0 + 1/3*w**5.
w**2*(w - 1)**2*(w + 5)/3
Determine y so that 3/4*y**5 + 0 + 0*y + 0*y**2 + 3/2*y**3 - 9/4*y**4 = 0.
0, 1, 2
Factor 6 + 3*x**3 + 15*x + 4*x**2 + 6*x**2 + 0*x**3 + 2*x**2.
3*(x + 1)**2*(x + 2)
Factor 99*a**2 - 94*a**2 - 7*a + 2*a.
5*a*(a - 1)
Let w(p) = -p**5 + p**4 + p**3 + p. Let f(q) = -5*q**5 + 17*q**4 - 22*q**3 + 12*q**2 + 2*q. Let u(s) = f(s) - 2*w(s). Factor u(r).
-3*r**2*(r - 2)**2*(r - 1)
Let c be (-6)/(-4)*(-64)/(-12). Solve 2*i**3 + c*i - 11*i**2 + 0 + 3*i**2 + 0 = 0.
0, 2
Let v(a) be the first derivative of 0*a + 4 + 1/10*a**2 + 1/15*a**3. Find w, given that v(w) = 0.
-1, 0
Let m = 15/46 + 4/23. Factor -m - 9/4*j - 5/2*j**2.
-(2*j + 1)*(5*j + 2)/4
Factor 60 + 12*c + 3/5*c**2.
3*(c + 10)**2/5
Let d(o) be the first derivative of o**4/6 - o - 4. Let c(n) be the first derivative of d(n). Factor c(u).
2*u**2
Let f(a) be the second derivative of a**9/756 + a**8/420 - 2*a**7/105 - 2*a**6/45 - a**3/3 - 4*a. Let z(j) be the second derivative of f(j). Factor z(i).
4*i**2*(i - 2)*(i + 1)*(i + 2)
Let z = 308 - 305. Determine p so that -2/5 + 7/5*p**z - 7/5*p + 2/5*p**2 = 0.
-1, -2/7, 1
Let v(s) be the first derivative of s**3/12 - 3*s**2/8 + s/2 + 5. Factor v(u).
(u - 2)*(u - 1)/4
Let t(v) be the third derivative of v**6/120 - v**5/10 + 5*v**4/24 + 9*v**2. Factor t(f).
f*(f - 5)*(f - 1)
Suppose 5*i = 23 - 3. Let j be 64/(-36) - i/(-2). Factor 4/9*s - 2/9 - j*s**2.
-2*(s - 1)**2/9
Suppose -23*g + 27*g = 0. Let u(d) be the third derivative of -2/45*d**5 + 1/9*d**4 + 0*d**3 + g*d - 1/60*d**6 + 3*d**2 + 0. Find p such that u(p) = 0.
-2, 0, 2/3
Let n(x) = -x**2 + 5*x. Let a be n(4). What is d in 0*d**3 + 4*d**5 - 7*d**5 + 2 + 2*d**4 - a*d**2 - 2*d + 4*d**3 + d**5 = 0?
-1, 1
Let j(z) be the second derivative of -z**7/4200 - z**6/900 - z**5/600 - z**3/2 + 2*z. Let y(f) be the second derivative of j(f). Determine w so that y(w) = 0.
-1, 0
Factor -4/9 + 14/9*w - 14/9*w**2 + 4/9*w**3.
2*(w - 2)*(w - 1)*(2*w - 1)/9
Let t = -2196/5 - -442. Suppose -8/5*r + 0 + t*r**3 - 24/5*r**2 = 0. What is r?
-2/7, 0, 2
Let h be (-2)/7 + (-18)/(-14). Let g(r) = 2 - 7*r**3 - 3 - 1 + 6*r**2 - h. Let t(x) = 8*x**3 - 6*x**2 + 2. Let q(p) = 6*g(p) + 5*t(p). Factor q(s).
-2*(s - 2)**2*(s + 1)
Let g(f) be the third derivative of -f**5/80 - f**4/16 + 3*f**3/8 - 8*f**2. What is o in g(o) = 0?
-3, 1
Let a(x) be the first derivative of x**4/8 + x**3/6 - 5*x - 3. Let j(k) be the first derivative of a(k). Solve j(w) = 0.
-2/3, 0
Let x = 39 + -25. Let y(n) = -24*n**3 + 20*n**2 + 4*n. Let v(d) = -5*d**3 + 4*d**2 + d. Let b(g) = x*v(g) - 3*y(g). Determine j so that b(j) = 0.
0, 1
Let s(g) be the second derivative of -2*g**5/15 - g**4/6 + g**3/9 - 2*g - 37. Find a, given that s(a) = 0.
-1, 0, 1/4
Let z(a) be the second derivative of -a**7/105 + 4*a**6/75 - 3*a**5/50 - 2*a**4/15 + 4*a**3/15 + 17*a. Suppose z(o) = 0. What is o?
-1, 0, 1, 2
Let r be (-4)/10 - (-85)/25. Let b = 957/436 + 6/109. Let 9/4*g**2 + b*g + 3/4*g**r + 3/4 = 0. Calculate g.
-1
Let m(h) = 3*h**2 - 5*h + 4. Let g be m(2). Suppose -3*p + 0 = -g. Suppose 0 - 3/5*f**4 + 3/5*f**p + 3/5*f**3 - 3/5*f = 0. What is f?
-1, 0, 1
Let v(n) be the first derivative of n + 2 + 0*n**3 + 0*n**4 + 1/20*n**5 - 1/30*n**6 + 0*n**2. Let g(r) be the first derivative of v(r). Let g(m) = 0. What is m?
0, 1
Let k(x) be the third derivative of 0*x**3 + 2*x**2 - 1/24*x**4 + 2/105*x**7 - 1/15*x**5 + 1/112*x**8 + 0*x + 0 - 1/60*x**6. Solve k(v) = 0.
-1, -1/3, 0, 1
Let m(d) = d**3 - 7*d**2 - 6*d - 6. Let j be m(8). Let a = -8 + j. Factor 2/3*y - 2/3*y**a + 0.
-2*y*(y - 1)/3
Let z be (2/(-4))/((-5)/30). Let b(h) be the second derivative of -z*h - 1/8*h**3 - 1/48*h**4 - 1/4*h**2 + 0. Factor b(x).
-(x + 1)*(x + 2)/4
Suppose a = -3*