5/4*x**4 - 9/4*x**2 - 1/2*x = 0.
-1, -2/5, 0
Suppose 25 = -5*w, w - 1 = -3*z - 6. Suppose z = 2*i + 3*i. Find f, given that f**2 + f + i*f**2 - 2*f**3 - f**4 + f**3 = 0.
-1, 0, 1
Let i(c) be the second derivative of 0 + 0*c**5 + 0*c**3 + 9*c - 1/210*c**7 + 0*c**4 + 0*c**2 - 1/75*c**6. Factor i(g).
-g**4*(g + 2)/5
Suppose -3*c + 12 = c. Suppose 0 = 4*h + 3*k, -c*k = -h + 2*k + 23. Factor -8/3*s**4 + 0 + 4/9*s**2 + 0*s + 10/9*s**h.
-2*s**2*(3*s - 2)*(4*s + 1)/9
Let y(f) be the second derivative of -f**7/168 - 7*f**6/120 + 9*f**5/80 + 7*f**4/48 - f**3/3 + 7*f - 2. Find i such that y(i) = 0.
-8, -1, 0, 1
Let t be (6/(-4))/(2/(-4)). Factor -5*g**2 + t*g**2 - 1 + 3*g**2.
(g - 1)*(g + 1)
Suppose 4*a = -5*x + x + 20, -x + 4*a = 0. Factor -4*u**2 + 0*u**3 + 19*u**x - 15*u**3 + 7*u**2 - 2*u**2 + 2*u - 7*u**5.
-u*(u - 1)**3*(7*u + 2)
Let i(r) be the second derivative of -3*r + 0*r**2 + 0 + 1/18*r**4 + 2/9*r**3. Determine f so that i(f) = 0.
-2, 0
Let u(b) be the first derivative of b**6/360 - b**5/60 + b**4/24 - b**3/18 + b**2/2 + 2. Let h(r) be the second derivative of u(r). Factor h(j).
(j - 1)**3/3
Let l(q) be the third derivative of 0*q - 5*q**2 - 1/24*q**4 + 1/180*q**5 + 1/630*q**7 + 1/120*q**6 + 0 - 1/9*q**3. Factor l(g).
(g - 1)*(g + 1)**2*(g + 2)/3
Let o(x) be the third derivative of -x**6/90 + 2*x**5/15 - x**4/2 + 46*x**2. Let o(q) = 0. What is q?
0, 3
Let m(g) be the second derivative of -g**5/70 - g**4/21 + g**3/21 + 2*g**2/7 + 13*g. Determine z, given that m(z) = 0.
-2, -1, 1
Let v(h) = h**2 - h + 1. Let d = 0 + 2. Suppose d*u - 3 = -1. Let l(i) = 7*i**2 - 5*i + 5. Let o(k) = u*l(k) - 5*v(k). Factor o(r).
2*r**2
Let w = 1/43 + 83/129. Factor a - w - 1/3*a**2.
-(a - 2)*(a - 1)/3
Let s = -141 - -145. Solve 1/4*h**3 - 1/4*h**5 - 1/4*h**s + 0 + 0*h + 1/4*h**2 = 0.
-1, 0, 1
Let 4/5*r**2 - r + 1/5*r**3 + 0 = 0. What is r?
-5, 0, 1
Let p(r) = 2*r**3 + 2*r**2. Let b(s) be the first derivative of 3*s**4/2 + 7*s**3/3 - 1. Let w(v) = -2*b(v) + 7*p(v). Determine f so that w(f) = 0.
0
Suppose 2/7*i**3 + 4/7*i - 6/7*i**2 + 0 = 0. What is i?
0, 1, 2
Factor 4*t**2 + 6*t**2 - 2*t**2 - 11*t**3 - t**3 + 4*t**4.
4*t**2*(t - 2)*(t - 1)
Let d(t) be the second derivative of 0 + 0*t**3 - 1/15*t**6 + 1/3*t**4 - t + 0*t**5 - t**2. Factor d(w).
-2*(w - 1)**2*(w + 1)**2
Suppose 3/4*u**2 + 0 + 3/2*u = 0. Calculate u.
-2, 0
Let q(c) be the second derivative of c**7/630 + c**6/360 - c**5/60 + c**4/6 - c. Let o(p) be the third derivative of q(p). Factor o(y).
2*(y + 1)*(2*y - 1)
Let q(u) be the first derivative of 1/9*u**3 + 0*u - 1/6*u**2 - 1. Factor q(g).
g*(g - 1)/3
Let y(b) = -6*b - 6. Let t(j) = j**2 + 24*j + 23. Let z(u) = 4*t(u) + 18*y(u). Solve z(p) = 0.
-1, 4
Let k(x) be the second derivative of -x**4/20 + 2*x**3/5 + 3*x**2/2 - 32*x. Factor k(u).
-3*(u - 5)*(u + 1)/5
Let y(v) = -v**4 - 2*v**3 - 2*v**2 + 4*v - 9. Let m(q) = q**4 + 2*q**3 + 3*q**2 - 4*q + 10. Let i(n) = -5*m(n) - 6*y(n). Determine k so that i(k) = 0.
-2, 1
Let q(h) = h**2 - h + 1. Let c be q(0). Let f = c + 1. Factor k**f + 0 + 1/2*k**3 + 1/2*k.
k*(k + 1)**2/2
Let h(q) = -q + 8. Let n be h(8). Let f(c) be the third derivative of 0 + n*c**4 + 0*c**5 + 0*c + 0*c**3 + 2*c**2 - 2/105*c**7 + 1/60*c**6. Factor f(l).
-2*l**3*(2*l - 1)
Let i(h) be the third derivative of -h**7/70 + h**5/5 - 13*h**2. Factor i(s).
-3*s**2*(s - 2)*(s + 2)
Let o = -1079 - -9727/9. Solve -2/9*n**3 + 8/9 - o*n + 10/9*n**2 = 0.
1, 2
Let u be -3*1*(-8)/6. Factor -5*a**5 - 14*a**4 - a**u + 2*a**2 - 2*a**5 - 3*a**3 + 3*a**4.
-a**2*(a + 1)**2*(7*a - 2)
Let k(p) = -4*p**2 - 8*p - 6. Let q(i) = 5*i**2 + 9*i + 7. Let g(n) = -3*k(n) - 2*q(n). Suppose g(m) = 0. What is m?
-2, -1
Determine r so that 2/3*r + 0 + 2/3*r**2 = 0.
-1, 0
Let j be (-2)/4*2*-4. Let q be (-4)/((-5)/(15/6)). Find i, given that -2*i**4 + 0*i**j + q*i**3 - 3*i + 2*i**2 + i = 0.
-1, 0, 1
Let h be 1/(-4*3/(-12)). Let x(b) = 4*b**5 - 6*b**3 + 2*b**2. Let t(s) = s**5 + s**4 - s**3 - s**2 - s + 1. Let d(k) = h*x(k) - 2*t(k). Factor d(c).
2*(c - 1)**3*(c + 1)**2
Factor 0*m**2 + 7*m**4 - m**4 - 8 - 24*m + 2*m**5 - 6*m**2 - 2*m**3 - 16*m**2.
2*(m - 2)*(m + 1)**3*(m + 2)
Let x be 9 - (1*-2 + 2). Suppose x = 5*i + 2*v, -4*v - 27 = -9*i + 4*i. Solve -5*k**2 + 3*k**2 + k**3 + i*k**2 = 0 for k.
-1, 0
Let i = -9 + 11. Factor 4*y**2 - 3*y**3 + 4*y - 7*y + 2*y**i.
-3*y*(y - 1)**2
Let a(f) be the third derivative of f**7/70 + f**6/20 - f**4/4 - f**3/2 + 9*f**2. Determine q, given that a(q) = 0.
-1, 1
Let z be (-435)/20 + 6/8. Let u be 0 + 1/(z/(-12)). Factor -10/7*m**2 + u - 6/7*m.
-2*(m + 1)*(5*m - 2)/7
Let f(o) be the second derivative of -o**7/5040 - o**4/12 - o. Let y(t) be the third derivative of f(t). Find k such that y(k) = 0.
0
Factor 0 + 1/5*o + 1/5*o**2.
o*(o + 1)/5
Let b(w) be the second derivative of w**5/180 + w**4/36 + w**3/27 - 11*w. Let b(x) = 0. Calculate x.
-2, -1, 0
Let k(t) = -t**3 - t**2 + 1. Let q be k(-2). Let l(o) be the first derivative of -1/24*o**6 + 0*o**3 + 0*o**2 - 3 + 1/10*o**q - 1/16*o**4 + 0*o. Factor l(h).
-h**3*(h - 1)**2/4
Let g(x) = -x**3 - 3*x**2. Let w(s) = s + 2. Let q be w(-7). Let k be g(q). Factor -10*a - 30*a + 9 - 1 + k*a**2.
2*(5*a - 2)**2
Let y(s) = -s**3 + 11*s**2 + 14*s + 6. Let k be y(12). Suppose 0*n + 6*n - k = 0. Factor -3/4*m + 3/2*m**3 - 3/4*m**n - 3/4*m**4 - 3/4 + 3/2*m**2.
-3*(m - 1)**2*(m + 1)**3/4
Let r(d) be the second derivative of -d**5/5 + 2*d**4 - 6*d**3 + 8*d**2 + 67*d. Find p, given that r(p) = 0.
1, 4
Suppose 109 = 2*j - 37. Factor 2*k**3 - 73*k + j*k + k**4.
k**3*(k + 2)
Suppose 0 = 129*c - 133*c + 12. Find f, given that -5/2*f**5 - f + 3/2*f**4 + 0 + 7/2*f**c - 3/2*f**2 = 0.
-1, -2/5, 0, 1
Let t(v) be the first derivative of 0*v**2 + 2/3*v**3 + 6/5*v**5 - 3 + 0*v + 3/2*v**4 + 1/3*v**6. Suppose t(q) = 0. Calculate q.
-1, 0
Factor 22/5*u**3 - 10*u**5 - 24/5*u**2 - 8/5*u + 0 + 12*u**4.
-2*u*(u - 1)**2*(5*u + 2)**2/5
Let 4*r - 7*r + 5*r**2 + 29*r + 4*r + 25 = 0. Calculate r.
-5, -1
Let g be -3*((-12)/504)/((-1)/(-8)). Factor 0*b**2 - 2/7*b**3 - g + 6/7*b.
-2*(b - 1)**2*(b + 2)/7
Let z(d) be the second derivative of 1/10*d**4 + 1/150*d**6 + 1/10*d**2 + 0 + 1/25*d**5 - 4*d + 2/15*d**3. Factor z(y).
(y + 1)**4/5
What is s in -1 + 1/2*s**3 + 0*s**2 - 3/2*s = 0?
-1, 2
Let a(o) be the first derivative of 4*o**6 + 8*o**5 + 11*o**4/2 + 4*o**3/3 - 15. Solve a(r) = 0.
-2/3, -1/2, 0
Let a(q) be the second derivative of 0 + 1/27*q**4 - 1/90*q**5 - q - 2/9*q**2 + 1/27*q**3. Factor a(x).
-2*(x - 2)*(x - 1)*(x + 1)/9
Let c(u) be the second derivative of u**4/16 - u**3/4 + 3*u**2/8 + 6*u. Factor c(m).
3*(m - 1)**2/4
Suppose -3*n = 3*i - 66, 5*i - 132 = 5*n - 42. Let b = -39/2 + i. Determine o so that 1/2*o**3 + b - 1/2*o**2 - 1/2*o = 0.
-1, 1
Let r(c) be the first derivative of -c**6/180 + c**5/60 + c**4/6 - c**3/3 - 4. Let x(j) be the third derivative of r(j). Let x(i) = 0. What is i?
-1, 2
Suppose 3 + 9 = 3*f. Suppose 4*s = -2*i + 3*i + 17, 2*s - 26 = f*i. Find m such that -2/9*m + 0 + 4/9*m**4 + 2/9*m**5 - 4/9*m**2 + 0*m**s = 0.
-1, 0, 1
Find p, given that 1/4*p**2 + 13/4*p - 7/2 = 0.
-14, 1
Suppose -2*b + 13*u = 8*u - 24, 0 = 4*b + 2*u. Let b*q + 6/5 + 2/5*q**2 - 2/5*q**3 = 0. Calculate q.
-1, 3
Let u(p) be the third derivative of -1/30*p**5 + 1/12*p**4 + 0 + 0*p - 1/60*p**6 + 0*p**3 - 2*p**2 + 1/105*p**7. Factor u(y).
2*y*(y - 1)**2*(y + 1)
Let t = 9 + -4. Let y(i) = i**5 - 12*i**3 - 5*i**2 + i - 5. Let o(n) = -6*n**3 - 3*n**2 - 3. Let s(g) = t*o(g) - 3*y(g). Factor s(d).
-3*d*(d - 1)**2*(d + 1)**2
Let b(a) be the second derivative of 0*a**2 - 1/60*a**6 + 1/40*a**5 + a - 1/12*a**3 + 0 + 1/24*a**4. Determine r, given that b(r) = 0.
-1, 0, 1
Let g(h) = 23*h**3 - 5*h**2 - 7*h - 65. Let z(k) = -8*k**3 + 2*k**2 + 2*k + 22. Let l(f) = -6*g(f) - 17*z(f). Factor l(w).
-2*(w - 2)*(w + 2)**2
Let u be 2/(((-5)/2)/5). Let h(o) = o**4 + o**3 - o**2. Let d(n) = 2*n**5 - 9*n**4 + 3*n**2. Let i(v) = u*h(v) - d(v). Find m such that i(m) = 0.
0, 1/2, 1
Let o(r) = 4*r. Let k(y) = -y**2 - 3*y + 1. Let m(b) = -4*k(b) - 3*o(b). Factor m(f).
4*(f - 1)*(f + 1)
Let x(v) be the third derivative of -1/315*v**7 + 1/180*v**6 + 0 + 0*v**5 + 0*v**3 - v**2 + 0*v + 0*v**4. Factor x(o).
-2*o**3*(o - 1)/3
Let p(v) = 5*v + 50. Let l be p(-10). Find g, given that 0 