hat f(a) = 0.
-1, 0, 1
Let w(q) be the first derivative of 0*q**5 + 0*q + 0*q**3 + 1/6*q**2 - 2 + 1/18*q**6 - 1/6*q**4. Factor w(c).
c*(c - 1)**2*(c + 1)**2/3
Let v(z) = 9*z**2 + 39*z - 6. Let q(o) = o**2 - o. Let t(a) = -18*q(a) - v(a). Solve t(c) = 0.
-1, 2/9
Let t(x) be the third derivative of x**7/180 - x**6/72 - x**5/30 - x**4/24 - 3*x**2. Let k(f) be the second derivative of t(f). Factor k(g).
2*(g - 1)*(7*g + 2)
Let d(z) be the first derivative of 1/6*z**4 - 1/6*z**3 + 2 - z + 0*z**2 - 1/20*z**5. Let q(o) be the first derivative of d(o). Find f, given that q(f) = 0.
0, 1
Suppose 0 = -3*x + 5*x - 4. Let c(o) be the second derivative of -1/4*o**4 + 0 + 1/2*o**3 + 0*o**x - 3/20*o**5 + 1/10*o**6 + 3*o. Factor c(p).
3*p*(p - 1)**2*(p + 1)
Let j(h) = -4*h + 1. Let l(k) = -5*k + 2. Let y(i) = 6*j(i) - 5*l(i). Let w be y(6). Let -4 - w*o**3 + o**4 + o**2 + 4 = 0. Calculate o.
0, 1
Factor -4/7*n**2 + 0 - 2/7*n**3 - 2/7*n.
-2*n*(n + 1)**2/7
Let h(b) = -4*b**2 - 4*b + 3*b**2 - 3*b - 2*b + 13. Let v be h(-10). Determine g so that -6/7*g**2 - 6/7*g - 2/7*g**v - 2/7 = 0.
-1
Let m(k) be the second derivative of -k**5/5 + k**4/3 + 10*k**3/3 + 6*k**2 + 6*k. Factor m(v).
-4*(v - 3)*(v + 1)**2
Let n(s) be the third derivative of 0*s**3 + 0*s + 5*s**2 + 1/30*s**5 + 1/6*s**4 + 0. Factor n(g).
2*g*(g + 2)
Let s(g) be the third derivative of -g**6/240 - g**5/24 - 5*g**2. Determine z so that s(z) = 0.
-5, 0
Let y be (-6)/3 - (1 + -5). Let h = 470/3 + -156. Factor 10/3*o**3 + 0 + 2*o**4 + h*o**y - 2/3*o.
2*o*(o + 1)**2*(3*o - 1)/3
Let h = 3019/4 + -751. Let u(k) be the first derivative of 0*k + 1 - k**3 + 3*k**2 - 6/5*k**5 - h*k**4. Factor u(w).
-3*w*(w + 1)*(w + 2)*(2*w - 1)
Suppose 6*j + 6 = -3*v + 3*j, -j - 14 = -3*v. Solve 0 + 0*s**v + 2/3*s**4 - 2*s**2 + 4/3*s = 0.
-2, 0, 1
Let h(j) = 3*j**3 - j**2 + 3*j - 7. Let t(a) = a**3 - a**2 + a - 3. Let k(i) = 3*h(i) - 7*t(i). Factor k(m).
2*m*(m + 1)**2
Let f(p) be the second derivative of -2*p**4/3 + 7*p**3/3 - 3*p**2 - 3*p. Let c(a) = 3*a**2 - 5*a + 2. Let u(s) = -11*c(s) - 4*f(s). Factor u(h).
-(h - 1)*(h + 2)
Let k be (6/(-432))/(-1 - (-2)/(-8)). Let m(w) be the second derivative of 0*w**3 + 0*w**5 - k*w**6 + 0*w**2 + w + 0*w**4 + 0. Solve m(j) = 0.
0
Let n(w) be the third derivative of 0 - 1/12*w**6 + 0*w + 3*w**2 + 2/5*w**5 - 3/4*w**4 + 2/3*w**3. Factor n(h).
-2*(h - 1)**2*(5*h - 2)
Let r be 7/1*(0 + 1). Let g(t) = t**4 + 5*t**2 + 7*t - 6. Let l(c) = -2*c**2 - 2*c + 2. Let j(i) = r*l(i) + 2*g(i). Factor j(k).
2*(k - 1)**2*(k + 1)**2
Determine t so that 106*t**2 + 18 + 108*t + 137*t**2 - 6 = 0.
-2/9
Let n(d) be the first derivative of -d**6/300 - d**5/50 + 7*d**2/2 + 2. Let p(x) be the second derivative of n(x). Factor p(f).
-2*f**2*(f + 3)/5
Let a(k) be the first derivative of -4 + 2/5*k**2 - 3/5*k - 1/15*k**3. Factor a(o).
-(o - 3)*(o - 1)/5
Suppose -n = n. Let c(w) be the second derivative of 4/9*w**3 - 1/18*w**4 - 4/3*w**2 + n - w. Find t, given that c(t) = 0.
2
Let w = 3 - 12. Let v(z) = -18*z**4 + 3*z**3 + 18*z**2 - 12*z - 9. Let r(a) = a**4 - a**2 + a + 1. Let y(u) = w*r(u) - v(u). Factor y(x).
3*x*(x - 1)*(x + 1)*(3*x - 1)
Let k = 136/525 + 2/75. Factor 4/7*g**4 + 0*g**2 + 0 - 2/7*g**5 + 0*g - k*g**3.
-2*g**3*(g - 1)**2/7
Let h(i) be the third derivative of -i**8/840 + i**7/525 + i**6/300 - i**5/150 + 7*i**2. Determine b, given that h(b) = 0.
-1, 0, 1
Let s = 27/2 - 13. Let f be 3/2 - (-3)/(4 + -7). Determine i so that 1/2*i**2 + 0 + s*i**5 - f*i**3 + 0*i - 1/2*i**4 = 0.
-1, 0, 1
Factor 10/9*z - 25/9 - 1/9*z**2.
-(z - 5)**2/9
Let p = 350 - 1393/4. Let g(q) be the second derivative of 0*q**2 + p*q**4 + 0 - q**3 + 2*q. Factor g(j).
3*j*(7*j - 2)
Let l(k) be the third derivative of -k**6/1440 + k**5/120 - k**4/32 - k**3/2 + 3*k**2. Let h(a) be the first derivative of l(a). Find m, given that h(m) = 0.
1, 3
Let s(o) = -o**2 - o. Let w(p) = -2*p**2 - 10*p + 4. Suppose 8*m - 20 = 3*m. Let z = m - 0. Let g(q) = z*s(q) - w(q). Determine k so that g(k) = 0.
1, 2
Let m(x) be the third derivative of x**7/42 - x**6/8 + x**5/12 + 5*x**4/8 - 5*x**3/3 + 9*x**2. Factor m(y).
5*(y - 2)*(y - 1)**2*(y + 1)
Let x(j) be the first derivative of -2 - 8/33*j**3 + 2/11*j + 3/11*j**2. Find m, given that x(m) = 0.
-1/4, 1
Suppose 6*t + 5*t = 3*t. Let a(x) be the first derivative of 4/3*x**3 + 3/2*x**4 + t*x**2 + 1 + 2/5*x**5 + 0*x. Factor a(u).
2*u**2*(u + 1)*(u + 2)
Let z be (-6522)/40*(-4)/6. Let s = z + -215/2. Solve 2/5 - 6/5*v - 2/5*v**3 + s*v**2 = 0.
1
Let a(y) = 4*y**5 + 9*y**4 + 4*y**3 + y**2 + 2. Let i(b) = -b**3 + 1. Let q(x) = -2*a(x) + 4*i(x). Solve q(z) = 0 for z.
-1, -1/4, 0
Suppose 4*k - 4 = -3*z, 5*z + 13 = k - 11. Determine x so that -2*x**3 + 0*x**4 - 2*x**4 + x**4 + 4*x + 3*x**2 - k = 0.
-2, 1
Let c(j) be the first derivative of 2/9*j**5 + 2/9*j**2 + 1/27*j**6 - 1 + 1/2*j**4 + 14/27*j**3 + 0*j. What is z in c(z) = 0?
-2, -1, 0
Let l be 2/(-7) + (-46)/(-14). Let l*a + 3*a**4 - a - a**3 - 1 - a + 3 - 5*a**2 = 0. What is a?
-1, -2/3, 1
Let u(y) = y**2 - 9*y - 1. Let c be u(10). Factor 2*w**2 + 3*w**2 + c*w**3 + 3*w + 2*w**2 + 3*w**4 + 2*w**2.
3*w*(w + 1)**3
Let d(c) = c**3 + 7*c**2 + c + 7. Let r be d(-7). Factor -1/2*s + 1/4*s**2 + r.
s*(s - 2)/4
Let -2/9*c**2 + 2/9*c**4 + 2/3*c**3 + 0 - 2/3*c = 0. Calculate c.
-3, -1, 0, 1
Let i(d) be the first derivative of d**6/21 - 6*d**5/35 + 3*d**4/14 - 2*d**3/21 + 4. Let i(m) = 0. What is m?
0, 1
Let d(s) be the second derivative of -1/60*s**5 + 1/90*s**6 + 0*s**4 + 0 - 2*s + 0*s**2 + 0*s**3. Determine n so that d(n) = 0.
0, 1
Factor 19*k**2 - 20 - 40*k**2 + 120*k + 56.
-3*(k - 6)*(7*k + 2)
Suppose 4*g + 6*g - 50 = 0. Let u(n) be the first derivative of 2/3*n**2 + 0*n**3 - 1/3*n**4 - 2 + 2/15*n**g - 2/3*n. Factor u(c).
2*(c - 1)**3*(c + 1)/3
What is i in 2*i + 2*i**4 - 2*i**3 - 2*i**2 + 0*i + 0*i**3 = 0?
-1, 0, 1
Let m(r) = -r**3 - 2*r**2 + r - 4. Let d be m(-3). Solve -20*u**2 - 9*u**3 + d*u**3 + 13 + u**3 - 8*u + 3 = 0 for u.
-2, 2/3
Let k(i) be the first derivative of -9*i**4/22 + 2*i**3/3 - 2*i**2/11 + 2. Solve k(v) = 0.
0, 2/9, 1
Let m(g) = -g**2 + 10*g - 4. Let p be m(8). Let -6*t**5 - p*t + t - 26*t**4 - 44*t**3 - 2 - 3*t - 36*t**2 = 0. What is t?
-1, -1/3
Let x(b) = 12*b**3 + 100*b**2 - 44*b + 34. Let a(v) = -v**3 - 9*v**2 + 4*v - 3. Let u(l) = -68*a(l) - 6*x(l). Factor u(h).
-4*h*(h - 2)*(h - 1)
Let y(m) = m**3 + 6*m**2 + 6*m + 7. Let f be y(-5). Suppose -f*h + 8 = 2*h. Let 0 - 2/3*c + 2*c**2 - h*c**3 + 2/3*c**4 = 0. What is c?
0, 1
Let v(l) be the first derivative of 2*l**3/3 - 2*l**2 + 2*l - 5. Suppose v(c) = 0. What is c?
1
Let b(r) be the second derivative of -r**8/11200 - r**7/1575 - r**6/1200 + r**5/300 - r**4/6 - 3*r. Let u(k) be the third derivative of b(k). Factor u(j).
-(j + 1)*(j + 2)*(3*j - 1)/5
Let t(f) be the third derivative of f**6/660 + f**5/110 + f**4/44 + f**3/33 + 20*f**2. Factor t(w).
2*(w + 1)**3/11
Suppose 4*y = -0*y + 5*g - 4, -32 = -3*y - 5*g. Suppose 6*f = y*f. Factor -1/4*x**4 - 1/4*x**3 + 1/4*x**5 + f + 0*x + 1/4*x**2.
x**2*(x - 1)**2*(x + 1)/4
What is w in -2*w + w - 3*w**2 + 4*w + 3*w = 0?
0, 2
Find n such that 1/2*n**5 + 0 - 1/2*n**2 + 0*n + 3/2*n**3 - 3/2*n**4 = 0.
0, 1
Let f(k) = -28*k**2 + 3*k - 2. Let j be f(1). Let x = 83/3 + j. Factor -2/3*l**2 + 2/3 - x*l + 2/3*l**3.
2*(l - 1)**2*(l + 1)/3
Suppose 2*o = 6*o. Let n(m) = m + 7. Let l be n(o). Factor k**2 - 3 + l - 3 - 2*k.
(k - 1)**2
Factor -2*k + k**2 + 4*k - 2*k**3 - k**4 + 0*k**3.
-k*(k - 1)*(k + 1)*(k + 2)
Solve -48/5*a**2 + 0*a**3 + 0 + 4/5*a**4 - 64/5*a = 0 for a.
-2, 0, 4
Factor 2/7*l + 2/7*l**3 + 4/7*l**2 + 0.
2*l*(l + 1)**2/7
Let c(v) be the second derivative of -2*v**6/15 - 3*v**5/5 - v**4/3 + 2*v**3 + 4*v**2 + 19*v. Factor c(m).
-4*(m - 1)*(m + 1)**2*(m + 2)
Let m(h) be the second derivative of 3*h**5/80 + 17*h**4/16 + 10*h**3 + 24*h**2 + 36*h. Factor m(n).
3*(n + 1)*(n + 8)**2/4
Let n(d) be the first derivative of -1/3*d**3 + 0*d**4 - 2*d + 1/10*d**5 + 2 + 0*d**2. Let i(l) be the first derivative of n(l). Determine v so that i(v) = 0.
-1, 0, 1
Suppose -42 = -18*d + 30. Factor -1/3*v**d + 0*v + 0 + 2/3*v**3 - 1/3*v**2.
-v**2*(v - 1)**2/3
Let d(t) be the third derivative of -t**7/126 + t**6/18 - 5*t**5/36 + 5*t**4/36 + 6*t**2. Solve d(i) = 0.
0, 1, 2
Let b(t) be