2*(f - 1)**2*(7*f + 2)/2
Let k(p) be the second derivative of 3*p**5/50 - p**3/5 + 33*p. Solve k(r) = 0.
-1, 0, 1
Let v(z) = 3*z**4 - 11*z**3 - z**2 - z - 2. Let m(d) = -6*d**4 + 23*d**3 + 2*d**2 + 3*d + 4. Let t(p) = -6*m(p) - 13*v(p). Factor t(o).
-(o - 1)**2*(o + 1)*(3*o - 2)
Let m(y) = y**3 - 2*y**2 - 2*y + 2. Let r be m(3). Factor 2*g - r*g - 3*g**2 - 4*g + 4*g.
-3*g*(g + 1)
Let w(d) = -4*d**3 - 5*d**2 - 3*d + 1. Let n be w(-4). Let f be ((-144)/n)/((-4)/6). Factor 0 + 2/7*o**2 - f*o**4 + 0*o + 6/7*o**3.
-2*o**2*(o - 1)*(4*o + 1)/7
Let j be (-3)/(-9) - (-4)/6. Let o(a) be the first derivative of 0*a - 1/4*a**2 - 1/6*a**3 + j. Factor o(c).
-c*(c + 1)/2
Let g(l) be the third derivative of -l**5/300 + l**4/24 - 2*l**3/15 - 9*l**2. Solve g(z) = 0.
1, 4
Let s = 4/25 + 1/25. Let j = s + 1/20. Factor 13/4*c**3 - 3/2*c**4 - 3*c**2 + c + 0 + j*c**5.
c*(c - 2)**2*(c - 1)**2/4
Let m(w) be the third derivative of 5*w**8/336 + w**7/7 + w**6/24 - 2*w**5 + 10*w**4/3 + 27*w**2. Determine u, given that m(u) = 0.
-4, 0, 1
Let f(y) = -6*y**2 + 6*y + 8. Let v(c) = 4*c**2 - 4*c - 5. Let b(r) = -5*f(r) - 8*v(r). Determine s, given that b(s) = 0.
0, 1
Let 0 + 6/17*b + 2/17*b**2 = 0. What is b?
-3, 0
Suppose 9/2*x**5 - 27/2*x**3 + 0 - 3/2*x**4 + 3*x - 9/2*x**2 = 0. Calculate x.
-1, 0, 1/3, 2
Let u(m) be the third derivative of 0 + 1/72*m**4 + 0*m**3 - 3*m**2 + 0*m + 1/180*m**5. Factor u(o).
o*(o + 1)/3
Factor -2/5*d + 4/5*d**2 + 6/5*d**3 + 0.
2*d*(d + 1)*(3*d - 1)/5
Let f = 16/79 + 347/237. Find g such that -1/3 - 3*g**2 - 2/3*g**4 + f*g + 7/3*g**3 = 0.
1/2, 1
Let y(z) = 2*z**3 - 5*z**2 - 3*z - 3. Let d(a) = 25*a**3 - 65*a**2 - 40*a - 40. Let p(k) = -3*d(k) + 40*y(k). Factor p(t).
5*t**2*(t - 1)
Let i(b) = 5*b**3 + 5*b**2 + 5*b + 3. Let v(h) = -h**3 + h**2 + h - 1. Let f(x) = -i(x) - 3*v(x). Factor f(u).
-2*u*(u + 2)**2
Let w(f) = -f**4 - f**2 + f + 1. Suppose 2*b - 5*b - 3 = 0. Let m(i) = -10*i**3 - 16*i**2 - 16*i - 6. Let h(j) = b*m(j) - 2*w(j). Factor h(g).
2*(g + 1)**3*(g + 2)
Find m, given that -9*m**2 + 1 + 3*m**3 + 3*m - 1 + 3*m = 0.
0, 1, 2
Let j be 3/(-15) - (-2 + (-44)/20). Let b(q) be the third derivative of -1/120*q**5 + 0*q**3 + 0 + 1/120*q**6 - 1/420*q**7 - 2*q**2 + 0*q**j + 0*q. Factor b(d).
-d**2*(d - 1)**2/2
Let j(n) be the second derivative of -n**7/1620 + n**6/360 - n**5/270 + 7*n**4/12 + 8*n. Let x(c) be the third derivative of j(c). Solve x(v) = 0.
2/7, 1
Factor 2*b - 3*b**3 - b**5 + b**4 + 6*b**3 - 2*b**4 + 5*b**2.
-b*(b - 2)*(b + 1)**3
Suppose 0 = 4*b - 4*d + 12, 3 + 0 = d. Suppose b*z + z = 2. Factor -2/7*q + 0 + 2/7*q**3 + 0*q**z.
2*q*(q - 1)*(q + 1)/7
Let q be 15/(-50)*(-2 - 2/(-3)). Find o, given that 2/5*o + 0*o**2 - q*o**3 + 0 = 0.
-1, 0, 1
Let p(c) be the third derivative of -c**8/10080 - c**7/1260 - c**6/360 + c**5/30 - 5*c**2. Let s(d) be the third derivative of p(d). Factor s(n).
-2*(n + 1)**2
Let b = -3 - -5. Suppose 4*q + 2*z = 10 + 2, -4*z = q + 4. Solve 0*n - 1/2 + n**3 - n**5 - 3/2*n**q + b*n**2 = 0 for n.
-1, 1/2, 1
Suppose 5*b - 29 - 55 = 3*t, -5*t = b. Suppose -3*i - b = -8*i. Factor 4/9*z**i + 0*z**2 + 2/9*z**4 - 2/9 - 4/9*z.
2*(z - 1)*(z + 1)**3/9
Let h(u) = -4*u**2 + 2*u + 3. Let i(b) = b**2 - b + 1. Let m(t) = 3*t**2 + t - 9. Let z(g) = 4*i(g) + m(g). Let o(k) = 5*h(k) + 3*z(k). Factor o(y).
y*(y + 1)
Suppose -3*w = 2*d - 6*d + 58, -d = -4*w - 8. Let s = 20 - d. Factor -3/5*a**2 + 0*a + 6/5*a**3 + 0 - 3/5*a**s.
-3*a**2*(a - 1)**2/5
Let h = 835/554 + -2/277. Determine z so that -h*z**4 + 0 - 1/2*z**2 + 0*z + 3/2*z**3 + 1/2*z**5 = 0.
0, 1
Factor -5/3*d**3 - 5*d**2 - 5/3 - 5*d.
-5*(d + 1)**3/3
Let o(h) be the third derivative of 4*h**2 + 0 - 1/150*h**5 + 1/60*h**4 + 0*h**3 + 0*h. Factor o(m).
-2*m*(m - 1)/5
Let j(q) be the second derivative of q**6/60 + q**5/30 - q**4/6 - 3*q**2/2 + 2*q. Let v(u) be the first derivative of j(u). What is w in v(w) = 0?
-2, 0, 1
Suppose 3*y = -5*i + 22, -5*i - 3*y = -i - 20. Factor -5*n**3 - n**4 - 1 - 2*n**3 + 7*n**3 + 2*n**i.
-(n - 1)**2*(n + 1)**2
Factor -16/9*z - 14/9*z**2 + 8/9 + 10/9*z**3.
2*(z - 2)*(z + 1)*(5*z - 2)/9
Let o(h) be the second derivative of 7*h**6/120 - h**5/16 - 3*h**4/16 + 5*h**3/24 + h**2/4 + 6*h. Determine r so that o(r) = 0.
-1, -2/7, 1
Let u be (-17)/(-10) + 42/140. Let g = 62 + -554/9. Let 2/9 + g*w - 2/3*w**u = 0. Calculate w.
-1/3, 1
Let g = -26/3 + 28/3. Let q = 32 + -32. Factor 0*b**2 + 0 + 2/3*b**4 + q*b - g*b**3.
2*b**3*(b - 1)/3
Suppose -2*j + 16 = 2*j - 2*v, 4*v = 16. Suppose -o = o - j. Determine s, given that 0*s**2 + 0 + 0*s**4 + 1/3*s**5 - 2/3*s**o + 1/3*s = 0.
-1, 0, 1
Let h(q) = 7*q**2 - 11*q. Let r(c) = -15*c**2 + 23*c. Suppose -3*f + 9 = -0. Let x(b) = f*r(b) + 7*h(b). Let x(n) = 0. Calculate n.
0, 2
Let i(x) be the third derivative of -x**5/90 - x**4/12 + 17*x**2. Let i(d) = 0. Calculate d.
-3, 0
Let r(i) be the third derivative of 0*i + 0 + 1/90*i**5 - 1/1008*i**8 + 0*i**3 - 1/315*i**7 + i**2 + 1/72*i**4 + 0*i**6. Factor r(v).
-v*(v - 1)*(v + 1)**3/3
Let w(v) = 13*v**3 + 71*v**2 + 600*v + 1989. Let y(t) = -t**3 - t**2 + 1. Let o(s) = 2*w(s) + 22*y(s). Factor o(i).
4*(i + 10)**3
Suppose 4*z + 11 + 5 = 0. Let r be 40/(-75)*6/z. Factor -2/5 - 8/5*s**3 + r*s - 8/5*s**4 + 6/5*s**2.
-2*(s + 1)**2*(2*s - 1)**2/5
Let o(q) be the second derivative of q**7/21 + 2*q**6/15 + q**5/10 - 11*q. Find p, given that o(p) = 0.
-1, 0
Let r = 60 + -58. Let 1/5*s**r - 2/5 + 1/5*s = 0. What is s?
-2, 1
Factor 4/9*o**2 + 2/9*o**5 + 0*o**3 - 2/9*o + 0 - 4/9*o**4.
2*o*(o - 1)**3*(o + 1)/9
Factor 3/7*l**2 + 3/7 - 6/7*l.
3*(l - 1)**2/7
Let f(n) = n**2 + 2. Let l be f(-2). Let d = l + -4. Let 5/4*k**5 - 5/2*k**3 - 1/2*k**4 + k**d - 1/2 + 5/4*k = 0. What is k?
-1, 2/5, 1
Factor 12*c - 12 - 14*c**2 + 10*c**2 - 4*c**3 + 8*c.
-4*(c - 1)**2*(c + 3)
Let u be (-8)/(-168)*(-1 - -2). Let j(l) be the third derivative of 0 + 0*l + l**2 - u*l**3 - 1/42*l**4 - 1/210*l**5. Find v such that j(v) = 0.
-1
Let r(f) be the first derivative of 4*f**3/3 + 4*f**2 + 4*f - 6. What is p in r(p) = 0?
-1
Let s(b) = -5*b**2 - 8*b - 8. Let w(z) = 9*z**2 + 16*z + 16. Let t(o) = 5*s(o) + 3*w(o). Factor t(u).
2*(u + 2)**2
Let k = 28 - 30. Let q be k + 0 + 91/26. Factor 3*a - 3*a**3 - q*a**4 + 0*a**2 + 3/2.
-3*(a - 1)*(a + 1)**3/2
Suppose -3*u + m = -m - 37, 40 = 5*u + m. Let i = -5 + u. Factor 4*o**2 + 2*o**3 + o**2 - i*o**2 + o**2.
2*o**2*(o + 1)
Let p(h) be the first derivative of h**6/1980 - h**5/110 + 3*h**4/44 + h**3/3 - 1. Let t(j) be the third derivative of p(j). Factor t(b).
2*(b - 3)**2/11
Suppose -3*a + 4*a = 2*i - 2, -i - 5 = -2*a. Let y(u) be the third derivative of -1/24*u**4 + 0*u**i + 1/120*u**5 - u**2 + 0*u + 0. Factor y(o).
o*(o - 2)/2
Let i(w) be the third derivative of -w**5/20 + w**3/2 + 12*w**2. Factor i(m).
-3*(m - 1)*(m + 1)
Let f = 4 - 4. Suppose 2*i = -f*i. Suppose 0 - 4/5*g**4 + i*g**3 + 2/5*g - 2/5*g**5 + 4/5*g**2 = 0. Calculate g.
-1, 0, 1
Let -21 + 0*s + 12 + 0*s**2 + 3*s**2 - 6*s = 0. What is s?
-1, 3
Let g(n) be the first derivative of 2*n**5/5 - 3*n**4/2 + 4*n**2 + 8. Factor g(u).
2*u*(u - 2)**2*(u + 1)
Factor -1/4*i + 1/4*i**3 + 1/4*i**2 + 0 - 1/4*i**4.
-i*(i - 1)**2*(i + 1)/4
Let r(y) = 2*y - y**2 - 6*y - 3*y - 2. Let z be r(-6). Factor -10*d**2 + 0*d - 5*d + z - d.
-2*(d + 1)*(5*d - 2)
Let n(y) = -y**4 - y**3 + y**2. Let x(h) = -15*h**5 + 7*h**4 + 34*h**3 + 14*h**2. Let f(w) = -2*n(w) + x(w). Suppose f(k) = 0. Calculate k.
-1, -2/5, 0, 2
Let b(r) = 1 + 7*r**2 + 0*r + 6 - r**3 - r. Let l be b(7). Factor -2/5*h + 0*h**2 + l + 2/5*h**3.
2*h*(h - 1)*(h + 1)/5
Let s be (-10)/(-35) + 0 - 4/14. Let n(p) be the third derivative of 2*p**2 - 4/3*p**3 - 1/30*p**5 + 0*p - 1/3*p**4 + s. Let n(x) = 0. Calculate x.
-2
Let z(w) be the first derivative of -w**4/24 + w**3/6 - 2*w + 4. Let b(l) be the first derivative of z(l). Suppose b(v) = 0. Calculate v.
0, 2
Let p(r) be the second derivative of -1/5*r**6 + r - 7/2*r**3 + 1/14*r**7 - 3/10*r**5 + 2*r**4 + 3*r**2 + 0. Determine c so that p(c) = 0.
-2, 1
Let b(j) be the first derivative of 0*j**2 + 1/24*j**4 - 5 + 0*j**3 + 0*j. Find m, given that b(m) = 0.
0
Factor -t**5 + 2*t**3 + 33*t**4 - 33*t**4 - t.
-t*(t - 1)**2*(t + 1)**2
Let k(c) be the third derivative of -c**7/420 - c**6/60 - c**5/20 - c**4/12 - c**3/2 - 2*c**2. Let f(b) be 