*3. Factor i(b).
(b - 1)**3*(b + 1)
Suppose -q = -0 - 3. Let h(j) be the first derivative of 2 + 0*j**2 + 2/15*j**q - 2/5*j. Factor h(t).
2*(t - 1)*(t + 1)/5
Let u(k) = -k - 1. Let p be u(-3). Suppose 0 = 4*q + 2 + p, 4*v = -3*q - 3. Factor 6/5*w**4 + v*w + 2/5*w**5 + 2/5*w**2 + 0 + 6/5*w**3.
2*w**2*(w + 1)**3/5
Let r(c) be the third derivative of -c**7/3780 - c**6/360 - c**5/90 - 5*c**4/12 - 6*c**2. Let j(m) be the second derivative of r(m). Factor j(d).
-2*(d + 1)*(d + 2)/3
What is h in 0*h + 0*h**2 - 2/9*h**3 - 2/9*h**4 + 0 = 0?
-1, 0
Suppose 2*u + 3*u - 25 = 0. Suppose -4*b - 5*i = -2*b - 14, -b - 3*i = -8. Factor 0*n**2 + 3*n + 2*n**b - u*n.
2*n*(n - 1)
Let j(x) = -x + 2*x**2 - 4 + 1 - 4*x - 3 + x**3. Let q(b) = 2*b**3 + 4*b**2 - 11*b - 13. Let w(t) = 9*j(t) - 4*q(t). Let w(n) = 0. Calculate n.
-2, -1, 1
Let 32*i - 8*i**5 + 2*i**3 + i**5 - 12*i**4 + 48*i**2 + 9*i**5 = 0. Calculate i.
-1, 0, 4
Let z(q) be the third derivative of -1/105*q**7 + q**2 - 1/3*q**3 - 1/5*q**5 + 0 + 0*q - 1/15*q**6 - 1/3*q**4. Suppose z(n) = 0. Calculate n.
-1
Let h = -827 - -7459/9. Solve -2/9 - 2/9*z**4 + 4/9*z**2 - 8/9*z**5 - 8/9*z + h*z**3 = 0 for z.
-1, -1/4, 1
Suppose 0 = -q + 4*q. Suppose -4*r = -q*r - 64. Determine s so that s + 1 - s + r*s**2 - 17*s**2 = 0.
-1, 1
Let h be (-1*1/4)/(-1). Let g = h + 0. Solve g*u**2 + 0 + 1/4*u = 0 for u.
-1, 0
Suppose 4*x - 3*r - 8 = 0, 4*r - 6 - 4 = -5*x. Suppose x = 6*h - 5*h. Factor q - 2*q**2 - 3*q**3 - 3*q**3 + 0*q**h + 7*q**3.
q*(q - 1)**2
Let g(m) = m**2. Let n be g(-2). Let l(s) = -s**2 + 1. Let p(a) = -a**2 + 1. Let q(y) = n*p(y) - 3*l(y). Determine j, given that q(j) = 0.
-1, 1
Let m = 28 - 25. Let t(p) be the second derivative of 0*p**2 - 1/6*p**4 - 2*p + 2/3*p**m + 0. Factor t(g).
-2*g*(g - 2)
Let f(j) be the third derivative of j**7/2100 - j**5/200 - j**4/120 - 20*j**2. Factor f(z).
z*(z - 2)*(z + 1)**2/10
Suppose -8*v + 4*v = 0. Suppose v = 2*u + 4*y - 22, -5*u + 162 - 32 = -5*y. Suppose 6*z**3 - 4*z**2 - 2*z**4 + 3*z**2 - 5*z**2 - 19*z + u*z = 0. What is z?
0, 1
Solve 6/7*v - 4/7 - 2/7*v**2 = 0 for v.
1, 2
Suppose 2*j = 3*f + 26, 3*j - f - 14 = 11. Suppose j + 5 = 3*g. Factor 3*b**4 - 2 - 3*b**g + 4*b**2 - 2*b**4.
-2*(b - 1)**2*(b + 1)**2
Let l(y) be the first derivative of -7*y**6/4 - 24*y**5/5 - 33*y**4/8 - y**3 + 5. Let l(n) = 0. Calculate n.
-1, -2/7, 0
Let y(j) be the first derivative of -j**4/12 - j**3/18 + j**2/12 - 17. Determine k so that y(k) = 0.
-1, 0, 1/2
Let l = 3/23 - -83/69. Factor 4/3*s - 4/3*s**2 - 4/3*s**3 + l.
-4*(s - 1)*(s + 1)**2/3
Factor 6*w**4 + 27*w - 6*w**3 - 21*w - 4*w**4 - 2*w**2.
2*w*(w - 3)*(w - 1)*(w + 1)
Suppose 2*b - 2*b**4 - 6*b**2 + 0 - 15/2*b**3 = 0. Calculate b.
-2, 0, 1/4
Let m(w) be the third derivative of -w**5/24 + 5*w**3/12 - w**2 - 7*w. Solve m(a) = 0.
-1, 1
Let q(l) be the second derivative of -l**7/168 + l**6/120 + l**5/40 - l**4/24 - l**3/24 + l**2/8 - 13*l. Factor q(m).
-(m - 1)**3*(m + 1)**2/4
Let q(x) = 15*x + 11. Let s(f) = 7*f + 5. Let t(a) = -6*q(a) + 13*s(a). Let w(o) = -2*o**2 - 13*o - 17. Let v(r) = t(r) + w(r). Factor v(k).
-2*(k + 3)**2
Let a(v) be the first derivative of 4*v**4 - 4*v**3/3 - 32*v**2 + 16*v + 3. Suppose a(l) = 0. What is l?
-2, 1/4, 2
Let z(x) be the first derivative of -x**8/112 + x**6/20 - x**4/8 - x**2 + 2. Let y(t) be the second derivative of z(t). Factor y(f).
-3*f*(f - 1)**2*(f + 1)**2
Let b = -126/5 + 257/10. Factor 0*a**2 + 1/2*a + 0 - b*a**3.
-a*(a - 1)*(a + 1)/2
Factor -3*g**2 + 0*g**4 + 4*g**4 - g**4 - g**3 - 2*g**3 + 3*g**5.
3*g**2*(g - 1)*(g + 1)**2
Factor -5/2*n**2 + 0*n + 0 - 1/2*n**3 + 5/2*n**4 + 1/2*n**5.
n**2*(n - 1)*(n + 1)*(n + 5)/2
Let x = -5/63 - -46/315. Let s(f) be the first derivative of x*f**5 - 1/3*f - 2 + 1/3*f**2 - 1/6*f**4 + 0*f**3. Solve s(j) = 0 for j.
-1, 1
Let l = -5 + 12. Let j(b) be the third derivative of 1/168*b**8 + 0*b + 0 + 1/6*b**4 + 0*b**3 + 3/20*b**6 + 7/30*b**5 + 1/21*b**l - 2*b**2. Factor j(h).
2*h*(h + 1)**3*(h + 2)
Let u(c) = 37*c**4 - 25*c**3 + 3*c**2 - c - 1. Let m(h) = h**4 - h**3 - h**2 - h - 1. Let b(p) = -m(p) + u(p). Find y, given that b(y) = 0.
0, 1/3
Let j = 17 + -355/21. Let o(m) be the third derivative of -j*m**3 - 3*m**2 + 0 + 1/28*m**4 + 0*m - 1/210*m**5. Find f, given that o(f) = 0.
1, 2
Let w = -880 + 882. Factor 0*t + 12/7*t**4 - 4/7*t**w - 2/7*t**3 + 0.
2*t**2*(2*t + 1)*(3*t - 2)/7
Let r(q) be the first derivative of 2*q**7/315 - q**6/180 - q**5/18 - q**4/18 - 3*q**2 - 2. Let g(m) be the second derivative of r(m). Solve g(y) = 0.
-1, -1/2, 0, 2
Let r(q) = 4*q**4 - q**4 - q**4 - 3*q**4 - q - q**3. Let v(h) = -10*h**4 - 19*h**3 - 11*h**2 - 5*h. Let y(n) = 3*r(n) - v(n). Suppose y(i) = 0. Calculate i.
-1, -2/7, 0
Let u(n) be the first derivative of n**6/3 + 2*n**5/5 - n**4/2 - 2*n**3/3 + 15. Factor u(t).
2*t**2*(t - 1)*(t + 1)**2
Let m(g) be the first derivative of -15*g**5/7 - 15*g**4/28 + 16*g**3/7 - 6*g**2/7 - 15. Factor m(a).
-3*a*(a + 1)*(5*a - 2)**2/7
Let g be -36 - -38 - 2/14*12. Determine c, given that -2/7*c**2 + g*c + 0 = 0.
0, 1
Let k(o) be the second derivative of 1/20*o**5 + 1/4*o**4 + 2*o + 1/2*o**2 + 0 + 1/2*o**3. What is u in k(u) = 0?
-1
Let x be (-50)/40 + 103/(-2). Let f = 53 + x. Factor 5/4*j + 1/2 + j**2 + f*j**3.
(j + 1)**2*(j + 2)/4
Let v(f) = -14*f**4 - 79*f**3 - 130*f**2 - 81*f - 14. Let d(p) = -p**4 - p**3 + p - 1. Let x(s) = -d(s) - v(s). Let x(r) = 0. Calculate r.
-3, -1, -1/3
Let a(d) be the third derivative of -d**5/45 - 5*d**4/9 - 50*d**3/9 - 10*d**2. Factor a(x).
-4*(x + 5)**2/3
Let g(m) = -m**2 + m. Let p(v) = -8*v**2 - 12*v - 16. Let f(y) = -4*g(y) + p(y). Solve f(w) = 0.
-2
Suppose 45/2*b**2 + 0 - 15*b**3 + 5/2*b**4 - 10*b = 0. What is b?
0, 1, 4
Suppose -5 = -4*k + r + 19, r = -k + 1. Suppose -l**2 + l**4 + l**3 + l + k*l**3 - 4*l**3 - 3*l**3 = 0. Calculate l.
-1, 0, 1
Suppose 3*j - 6 = -2*d - 0*j, 3*d - 9 = 5*j. Suppose -y + d = -0. Factor -2*k + 2*k**y + k**4 + k**4 + 0*k**2 - 2*k**2.
2*k*(k - 1)*(k + 1)**2
Let r(y) be the third derivative of 0*y**6 + 0*y + 3*y**2 + 0*y**3 + 0 - 1/20*y**5 + 0*y**4 + 1/70*y**7. Suppose r(j) = 0. Calculate j.
-1, 0, 1
Let l(f) = -5*f**3 + 3*f**2 - 8*f**2 + 6*f**3. Let n be l(5). Find a, given that 4/7*a**3 - 2*a**4 + n + 0*a + 0*a**2 = 0.
0, 2/7
Suppose -3*d + 22 = 2*d - 4*k, -5*d + 7 = k. Factor 6*o**3 + 2*o**d - 4*o**3 + 0*o - 4*o.
2*o*(o - 1)*(o + 2)
Let p be 101/20 + (-3 - (-22)/8). Factor -18/5*x**2 + 3/5*x**3 - p + 36/5*x.
3*(x - 2)**3/5
Let h(t) be the second derivative of -t**4/78 + 8*t**3/39 - 8*t + 4. Determine y so that h(y) = 0.
0, 8
Factor i**4 + 3*i**3 - 17*i**5 + 14*i**5 - 3*i**2 + 2*i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let v(a) be the second derivative of -2*a**7/21 + 4*a**6/15 - 2*a**4/3 + 2*a**3/3 - a. Factor v(r).
-4*r*(r - 1)**3*(r + 1)
Let t(l) = 2*l**2 + 6*l + 2. Let a be t(-6). Let h be a/14 + (-6)/(-21). Factor 2*k**4 - 6*k**2 - 3*k**4 + 3*k**3 + 2*k + h*k**3 - k**4.
-2*k*(k - 1)**3
Let f be (-1)/(-2) + 39/6. Let v(p) be the third derivative of 0*p**4 - 1/120*p**6 + 1/210*p**f + 0*p**5 + 0*p**3 + 0 + 0*p + p**2. Solve v(d) = 0 for d.
0, 1
Let x = 18641/40 - 466. Let u(t) be the third derivative of -1/30*t**5 + 2/35*t**7 + 0*t + 1/48*t**8 + 0 + x*t**6 + 0*t**4 + 0*t**3 + 2*t**2. Factor u(w).
w**2*(w + 1)**2*(7*w - 2)
Let x = -4 + 30/7. Factor 0 - x*b**3 + 0*b + 2/7*b**2.
-2*b**2*(b - 1)/7
Let a(h) be the first derivative of h**4/5 - 8*h**3/15 - 2*h**2/5 + 8*h/5 + 59. Factor a(d).
4*(d - 2)*(d - 1)*(d + 1)/5
Suppose -5*h = 1 - 21. Factor 162*l**5 - 24*l**4 + l**4 - 8*l**4 - 41*l**h + 8*l**3.
2*l**3*(9*l - 2)**2
Suppose -q = -78 - 273. Let w = 1767/5 - q. Factor -2/5 + w*k - 2*k**2.
-2*(k - 1)*(5*k - 1)/5
Let r(b) be the second derivative of b**4/12 + b**3/2 + b**2 - b. Determine m so that r(m) = 0.
-2, -1
Let y = -109 - -109. Determine l so that 2/3*l + y + 1/3*l**2 = 0.
-2, 0
Let d(j) be the first derivative of 2/9*j**3 + 1/3*j - 3 - 1/2*j**2. Let d(o) = 0. What is o?
1/2, 1
Let p = 48 - 45. Suppose -p*q + 4*q - 5 = 0. Factor 0 + 3/5*k**4 + 0*k - 3/5*k**3 + 1/5*k**2 - 1/5*k**q.
-k**2*(k - 1)**3/5
Let h(z) = 3*z**2 - 8*z - 3. Let y be h(3). Let k(a) be the second derivative of 1/80*a**5 + 0*a**2 + 0*a**3 + y + 1/48*a**4 - 3*a. Factor k(m).
m**2*(m + 1)/4
Let k(j) be the third derivativ