or i(s).
2*s**2*(s + 1)**2
Let j(r) = -r**2 - 10*r - 16. Let q be j(-2). Suppose q - 7/5*m**3 - 2/5*m**4 + 7/5*m**5 + 2/5*m**2 + 0*m = 0. Calculate m.
-1, 0, 2/7, 1
Let j(d) be the second derivative of d**4/3 - 4*d**3/3 + 14*d. Factor j(c).
4*c*(c - 2)
Let g(z) be the first derivative of -4*z**3/3 + 8*z**2 - 16*z + 7. Factor g(r).
-4*(r - 2)**2
Let n(l) = -2*l**5 - 50*l**4 - 478*l**3 - 2160*l**2 - 4318*l - 2590. Let r(f) = -f**3 - f - 1. Let d(z) = 2*n(z) + 4*r(z). Factor d(b).
-4*(b + 1)*(b + 6)**4
Let b = 17 + -12. Solve -4*m**b - 2 + 8*m**3 + m**4 - 2*m**2 + 0*m**2 + 3 - 4*m = 0 for m.
-1, 1/4, 1
Suppose 2*w - 2 = 2. Factor 4*x**2 + 1 - w - 3*x**2 - 2*x + 2.
(x - 1)**2
Let i(h) be the second derivative of h**4/54 - 4*h**3/3 + 36*h**2 - 32*h. Factor i(k).
2*(k - 18)**2/9
Factor -1/8*i**4 + 1/8 - 1/4*i + 0*i**2 + 1/4*i**3.
-(i - 1)**3*(i + 1)/8
Let c(b) = -1 + b**3 - 2*b**2 - b**2 - 9. Let f(j) = j**2 + 1. Let i(d) = c(d) + 6*f(d). Let y(s) be the first derivative of i(s). Solve y(k) = 0 for k.
-2, 0
Let p(d) be the second derivative of 1/2*d**3 - 1/48*d**4 + 0*d**2 - 1/96*d**5 - 3*d + 0 - 1/720*d**6. Let r(k) be the second derivative of p(k). Factor r(y).
-(y + 2)*(2*y + 1)/4
Determine b so that -1/2*b**5 - 9/4*b**4 + 1 + 3*b + 5/4*b**2 - 5/2*b**3 = 0.
-2, -1, -1/2, 1
Let q(a) be the second derivative of 9*a**5/20 + 2*a**4 + 3*a**3/2 - 3*a**2 + a. Solve q(i) = 0 for i.
-2, -1, 1/3
Let m(a) be the second derivative of -a**4/24 + 7*a. Factor m(o).
-o**2/2
Find x, given that 0*x - 1/2*x**2 + 1/2 = 0.
-1, 1
Let i = -8 + 4. Let w = 6 + i. Factor 2*z - z + z**2 - 2*z**w.
-z*(z - 1)
Suppose 6*p - 6 + 6 = 0. Suppose v - 7 = -2. Factor -1 + p*y**3 - v*y - 4 + 2 - y**2 + y**3.
(y - 3)*(y + 1)**2
Factor 5*y**2 - 38 + 17 + 21 - 10*y.
5*y*(y - 2)
Let f(y) = 10*y**3 - 13*y**2 + 3*y. Let a(v) = -29*v**3 + 38*v**2 - 9*v. Let h(o) = 2*a(o) + 7*f(o). Solve h(g) = 0 for g.
0, 1/4, 1
Let c = -15 + -5. Let q be 2/10 - 4/c. Factor q*m + 0 - 2/5*m**2 - 2/5*m**3 + 2/5*m**4.
2*m*(m - 1)**2*(m + 1)/5
Suppose -4*j = -7*j. Let a(c) be the second derivative of 1/15*c**3 - 3*c - 1/105*c**7 - 2/75*c**6 + 1/15*c**4 + 0*c**5 + 0*c**2 + j. Let a(p) = 0. What is p?
-1, 0, 1
Let z(c) = -2*c**2 + 2. Let x(i) = -i**2 + 1. Let n(a) = 5*x(a) - 2*z(a). Solve n(k) = 0.
-1, 1
Let w(c) = -4*c**3 - 2*c - 3. Let i = 0 - -4. Let q(n) be the first derivative of 3*n**4/4 + n**2/2 + 2*n - 3. Let h(p) = i*w(p) + 6*q(p). Factor h(s).
2*s*(s - 1)*(s + 1)
Let k(x) be the second derivative of -x**5/5 + 5*x**4/3 - 14*x**3/3 + 6*x**2 + 17*x. Factor k(a).
-4*(a - 3)*(a - 1)**2
Let w(i) = -i**5 - 41*i**4 - 83*i**3 - 67*i**2 - 29*i - 5. Let a(f) = f**5 + 20*f**4 + 41*f**3 + 34*f**2 + 14*f + 2. Let h(c) = 5*a(c) + 2*w(c). Solve h(b) = 0.
-2, -1, 0
Suppose 3*s + 24 = 3*i, i + 0*i - 2*s - 7 = 0. Suppose 7 + 8 = 5*o, -3*o = -4*l - i. Factor -3*y**3 - 4/3*y**5 + l - 1/3*y**2 + 1/3*y - 11/3*y**4.
-y*(y + 1)**3*(4*y - 1)/3
Suppose -8 - 125*r**2 - 7*r**4 - 135*r + 2*r**4 - 42 - 28*r**3 - 17*r**3 = 0. Calculate r.
-5, -2, -1
Let n(s) be the third derivative of s**10/170100 - s**9/272160 - 2*s**5/15 + s**2. Let v(z) be the third derivative of n(z). Factor v(u).
2*u**3*(4*u - 1)/9
Let f(i) be the second derivative of i**7/840 + i**6/180 + i**5/120 + i**3/6 - i. Let h(u) be the second derivative of f(u). What is b in h(b) = 0?
-1, 0
Let k be 39/(-10) + 4*1. Let o(l) be the first derivative of 2/5*l + k*l**4 - 1 - 2/15*l**3 - 1/5*l**2. What is u in o(u) = 0?
-1, 1
Let u(g) = -g - 1. Let b(z) = -3*z**2 + 2*z + 23. Let l(t) = b(t) + 5*u(t). Factor l(f).
-3*(f - 2)*(f + 3)
Let q be ((-9)/6)/1*2. Let h be 15/(-10)*4/q. Factor h - 4*n**2 + 2*n**2 - n**2 + n.
-(n - 1)*(3*n + 2)
Let r = 63 + -63. Find p such that -2/7*p - 2/7*p**3 + r - 4/7*p**2 = 0.
-1, 0
Factor 0*z**3 + 2*z**4 - 10*z - 3*z**4 + 3*z**3 + 6*z.
-z*(z - 2)**2*(z + 1)
Let r(n) be the third derivative of -n**8/20160 + n**5/30 - 3*n**2. Let p(o) be the third derivative of r(o). Find d, given that p(d) = 0.
0
Let l be (-1)/(-6) - 26/12. Let b be (l/(-9 + 3))/1. Factor 0*j - b + 1/3*j**2.
(j - 1)*(j + 1)/3
Let n(q) = q**2 - 1. Let k be n(-1). Let i be ((-10)/4 + 2)*k. Determine f, given that 3*f + i*f - f**3 - 2*f = 0.
-1, 0, 1
Let t = 121 - 121. Factor t + 8/5*b**2 - 2/5*b.
2*b*(4*b - 1)/5
Let r(o) = o**3 - 9*o**2 + 9*o - 8. Let i be r(8). Let j(z) be the second derivative of z - 7/20*z**5 - z**2 + i + 7/6*z**3 + 1/6*z**4. Factor j(x).
-(x - 1)*(x + 1)*(7*x - 2)
Let g = -133 + 133. Determine c, given that 4/5*c + 12/5*c**3 + 4/5*c**4 + 12/5*c**2 + g = 0.
-1, 0
Factor -8/7*v**3 + 0*v**2 - 24/7*v**4 - 18/7*v**5 + 0*v + 0.
-2*v**3*(3*v + 2)**2/7
Let y = -38 + 42. Let w(c) be the second derivative of 0*c**2 + 1/4*c**y + 3/40*c**5 - 4*c + 0 + 1/4*c**3. Factor w(i).
3*i*(i + 1)**2/2
Let a(p) = 8*p**2 + 10*p - 5. Let f(u) = u**2 + u - 1. Let b(v) = -3*a(v) + 21*f(v). Factor b(g).
-3*(g + 1)*(g + 2)
Let l(v) be the third derivative of -1/36*v**4 + 0*v + 2*v**2 - 1/45*v**5 - 1/180*v**6 + 0*v**3 + 0. Solve l(c) = 0 for c.
-1, 0
Let g(o) be the first derivative of 4*o**5/25 - 19*o**4/20 + 11*o**3/15 + 2*o**2/5 + 19. Let g(k) = 0. What is k?
-1/4, 0, 1, 4
Factor -1/3*m**2 - 2/3 + m.
-(m - 2)*(m - 1)/3
Let h(a) be the second derivative of -a**6/180 + a**5/20 - a**4/6 + 5*a**3/6 - 3*a. Let y(o) be the second derivative of h(o). Factor y(w).
-2*(w - 2)*(w - 1)
Let 14/3*x**2 + 22/15*x + 10/3*x**3 + 2/15 = 0. What is x?
-1, -1/5
Let k(o) be the third derivative of -o**5/4 + 9*o**4/8 - 2*o**3 + 12*o**2. Determine z so that k(z) = 0.
4/5, 1
Let d(l) be the third derivative of l**5/60 - l**3/6 + 2*l**2. Let d(h) = 0. Calculate h.
-1, 1
Let d(k) = -k**2 + 4*k + 2. Let u be d(5). Let s be 1 - ((-2)/u)/(-1). Factor 1/3 - 1/3*v**5 + 10/3*v**2 - 10/3*v**3 + 5/3*v**4 - s*v.
-(v - 1)**5/3
Let l(i) be the second derivative of -1/26*i**5 + 2/13*i**2 + 8*i - 3/13*i**3 + 0 + 2/13*i**4. Let l(s) = 0. Calculate s.
2/5, 1
Let n(j) be the third derivative of 5*j**5/12 + 5*j**4/12 + 2*j**2. Let n(i) = 0. What is i?
-2/5, 0
Let i be (-18)/(-6) - (-28)/(-10). Let t(f) be the first derivative of -i*f**5 + 0*f**3 + f**2 + f - 1/2*f**4 + 1. Factor t(h).
-(h - 1)*(h + 1)**3
Let s(o) = 350*o**3 + 495*o**2 + 90*o. Let d(z) = 39*z**3 + 55*z**2 + 10*z. Let y(k) = -55*d(k) + 6*s(k). Determine r, given that y(r) = 0.
-1, -2/9, 0
Let y(s) be the first derivative of 7/6*s**6 - 5/3*s**3 + 0*s + s**2 + s**5 - 4 - 9/4*s**4. Factor y(x).
x*(x - 1)*(x + 1)**2*(7*x - 2)
Let d(x) be the first derivative of 2*x**3/21 - 6*x**2/7 + 16*x/7 + 44. Factor d(z).
2*(z - 4)*(z - 2)/7
Let t = 4 - -2. Let q = t + -4. Factor -4*u + 3*u - 2*u**3 + 2*u**2 + u**q.
-u*(u - 1)*(2*u - 1)
Factor 2/11 + 2/11*m - 2/11*m**3 - 2/11*m**2.
-2*(m - 1)*(m + 1)**2/11
Let c = -961 - -963. Let -6*y**4 - 92/3*y**c - 6 + 22*y + 20*y**3 + 2/3*y**5 = 0. Calculate y.
1, 3
Let s(q) be the second derivative of q**5/50 - 2*q**4/15 - q**3/5 + 18*q**2/5 + 5*q. Factor s(a).
2*(a - 3)**2*(a + 2)/5
Suppose -2 = 3*m - 23. Let s = m - 3. Factor 8*b**3 + 0*b**5 - 4*b**2 + 8*b**4 - 5*b - 5*b - s + 2*b**5.
2*(b - 1)*(b + 1)**3*(b + 2)
Determine l so that 70*l - 5*l**2 - 70*l = 0.
0
Let n be 2/2 - (-12 - -3). Let w = 14 - n. Factor 0*b**2 + 0 + 1/4*b**3 + 0*b - 1/4*b**5 + 0*b**w.
-b**3*(b - 1)*(b + 1)/4
Let q(j) = -7*j**2 + 2*j - 7. Let g(f) = -6*f**2 + 3*f - 6. Let y = 5 - 8. Let z(b) = y*q(b) + 4*g(b). Factor z(c).
-3*(c - 1)**2
Suppose 3*y + 9*y - 48 = 0. Let 0*z + 0 - 1/2*z**y - 1/2*z**3 + 0*z**2 = 0. What is z?
-1, 0
Let l(a) = 7*a**2 + 8*a - 3. Let q(b) = 6*b**2 + 7*b - 3. Let n be 104/18 + (-10)/(-45). Let g(f) = n*q(f) - 5*l(f). Factor g(o).
(o - 1)*(o + 3)
Suppose 0 = 3*b + 4*u - 59, 4*b = -u - 0*u + 57. Let q = -5 + b. Factor -3 + 10*d - 2*d + 1 + d**2 + q*d**3 - 2*d**4 - 13*d**2.
-2*(d - 1)**4
Suppose 2*b - 38 = 8. Factor 28*z**2 + z**3 + 13*z**4 - 8*z - 8*z**4 - b*z**3.
z*(z - 2)**2*(5*z - 2)
Factor -1 - 1/2*l + l**2 + 1/2*l**3.
(l - 1)*(l + 1)*(l + 2)/2
Let y = 78 - 1008/13. Factor 0 + 6/13*o**3 - 2/13*o**4 + 2/13*o - y*o**2.
-2*o*(o - 1)**3/13
Let o(g) = 2*g**2 - 4*g + 3. Let a be o(2). Let p = 11 + -8. Let -4*j**2 + 2*j + 6*j**p - 4*j**3 + 0*j**a = 0. What is j?
0, 1
Let o(p) = -p**3 - 8*p**2 + 2*p + 11. Let h be o(-8). Let g be ((-6)/h)/((-42)