irst derivative of -d**4/12 - d**3/9 + d**2/6 + d/3 + 6. Factor f(g).
-(g - 1)*(g + 1)**2/3
Let r = -4130/11 + 16811/55. Let f = r - -70. Factor -2/5*t**4 + 2/5*t**2 - f*t**5 + 0 + 1/5*t + 0*t**3.
-t*(t - 1)*(t + 1)**3/5
Let b be (2/(-18))/((-5)/15). Let o(c) = c**2 - 6*c + 3. Let w be o(6). Factor -b*z**2 + 1/3*z**w + 1/3 - 1/3*z.
(z - 1)**2*(z + 1)/3
Suppose i + y - 286 = 4*i, -i = 2*y + 100. Let j be (-16)/i - 8/(-6). Find x, given that -3/2*x + 0*x**2 + 3/4*x**4 - 3/4 + j*x**3 = 0.
-1, 1
Let d be -2 + 3 + (-2 - -3). Let q be 18/120 + d/8. Find m, given that 0*m + 2/5*m**2 - q = 0.
-1, 1
Suppose 16/3*t**4 + 12*t**2 + 56/3*t**3 - 18 - 18*t = 0. Calculate t.
-3/2, 1
Let c(y) = -2*y**3 + 6*y**2 + 58*y - 144. Let j(t) = 7*t**3 - 23*t**2 - 231*t + 576. Let q(p) = 9*c(p) + 2*j(p). Find v such that q(v) = 0.
-4, 3
Let l(a) = a**2 + a + 1. Let b(u) = u**3 - 8*u**2 - 8*u - 8. Let t(r) = -5*b(r) - 40*l(r). Solve t(f) = 0.
0
Let i(v) be the first derivative of -v**7/210 + v**6/180 - v**5/480 + 2*v**3/3 - 3. Let k(n) be the third derivative of i(n). Factor k(s).
-s*(4*s - 1)**2/4
Let b(m) be the first derivative of -10*m**3/3 - 13*m**2 + 12*m + 24. Find h, given that b(h) = 0.
-3, 2/5
Let h(n) be the third derivative of 0*n**3 + 0*n + 1/105*n**5 + 4*n**2 + 1/420*n**6 + 1/84*n**4 + 0. Find z such that h(z) = 0.
-1, 0
Let u(z) be the first derivative of z**5/30 + z**4/6 + z**2 + 2. Let i(s) be the second derivative of u(s). Factor i(x).
2*x*(x + 2)
Let h(p) be the second derivative of -3*p**6/70 + 3*p**5/140 + 9*p**4/28 + 3*p**3/14 - 3*p**2/7 + 11*p. Solve h(a) = 0 for a.
-1, 1/3, 2
Let x = -197/2 + 100. Suppose -x + 3/4*u**2 + 3/4*u = 0. What is u?
-2, 1
Let r(v) be the first derivative of 3*v**5/40 - 3*v**4/8 + 5*v**3/8 - 3*v**2/8 + 2. Let r(x) = 0. Calculate x.
0, 1, 2
Let w(m) = 4*m**2 + 8*m - 2. Let r(v) = 4*v**2 + 9*v - 2. Let u(l) = -l**3 + 10*l**2 - 6. Let k be u(10). Let t(d) = k*r(d) + 7*w(d). Factor t(i).
2*(i + 1)*(2*i - 1)
Let o = 6 - 3. Suppose 0 = -8*i + o*i + 25. Factor 2*f**2 + i*f + 2 - 4*f - 5*f.
2*(f - 1)**2
Let y(i) = -i**2 + 2*i - 1. Let n(a) = -10*a**2 - 15*a - 25. Let v(c) = -n(c) + 5*y(c). Factor v(b).
5*(b + 1)*(b + 4)
Factor -1/2*z**2 + 0 + 0*z.
-z**2/2
Let w(l) = -2*l - 18. Let y be w(-10). Suppose -18 - 7 = -5*h. Determine v, given that -1/2*v**4 - 1/4*v**h - 1/4*v**3 + 0*v + 0*v**y + 0 = 0.
-1, 0
Let q = 106 - -119. Let f = 1579/7 - q. Suppose -2/7*n**2 + f - 2/7*n = 0. What is n?
-2, 1
Let b(l) = l**2 + 10*l + 11. Let z(p) = p + 1. Let x(g) = 2*g**2 - 2*g - 2. Let f be x(4). Let m(c) = f*z(c) - 2*b(c). Factor m(s).
-2*s*(s - 1)
Let h = -67/2 + 34. Let a(m) be the first derivative of -2/3*m**3 + 2/5*m**5 - 4 + 0*m**4 + 1/6*m**6 + 0*m - h*m**2. Factor a(s).
s*(s - 1)*(s + 1)**3
Let x(n) be the second derivative of -n**7/84 + n**5/40 + 4*n. Factor x(z).
-z**3*(z - 1)*(z + 1)/2
Let b(x) be the first derivative of -2*x**3/63 + x**2/7 - 4*x/21 + 1. Factor b(s).
-2*(s - 2)*(s - 1)/21
Let j(b) = 3*b**4 - 13*b**3 + 13*b**2 - b - 4. Let p(c) = -6*c**4 + 27*c**3 - 27*c**2 + 2*c + 9. Let i(w) = 10*j(w) + 4*p(w). Suppose i(k) = 0. Calculate k.
-1/3, 1, 2
Let x(y) = 9*y**4 + 6*y**3 - 4*y + 4. Let h be (4/(-6))/((-1)/6). Let q(a) = -17*a**4 - 11*a**3 + 7*a - 7. Let f(v) = h*q(v) + 7*x(v). Solve f(g) = 0.
-2/5, 0
Let p(m) = -m**4 + m**3 + m**2. Let w(f) = -2*f**4 - 10*f**3 + 30*f**2 - 16*f + 4. Let d(l) = 6*p(l) - w(l). Factor d(y).
-4*(y - 1)**4
Let d(w) = -6*w + 51. Let p be d(8). Factor 0*j - 2/11*j**2 + 0 + 2/11*j**p.
2*j**2*(j - 1)/11
Let o = -2 - -3. Let -5*h**2 + 4*h**2 + 3 - 3 + o = 0. Calculate h.
-1, 1
Let q(u) be the third derivative of -1/24*u**4 + 0*u - u**2 + 0 + 0*u**3 + 1/60*u**5. Factor q(t).
t*(t - 1)
Let g(n) be the first derivative of -n**6/7 + 2*n**5/35 + 5*n**4/14 - 2*n**3/21 - 2*n**2/7 + 3. Let g(o) = 0. Calculate o.
-1, -2/3, 0, 1
Let r(f) = -f + 2. Let z be r(-3). Factor 0*u**z + 2*u**5 + u**3 + 5*u**4 + u**3.
u**3*(u + 2)*(2*u + 1)
Let i = -526 - -4736/9. Solve 4/9 - 2/9*p**2 + i*p = 0 for p.
-1, 2
Let n(a) = -13*a**3 - 4*a**2 - 9*a + 9. Let p(v) = 3*v**3 + v**2 + 2*v - 2. Let x(l) = -4*n(l) - 18*p(l). Factor x(k).
-2*k**2*(k + 1)
Let m(c) = 13*c**5 + 48*c**4 + 101*c**3 + 59*c**2 + 5. Let h(k) = -7*k**5 - 24*k**4 - 51*k**3 - 29*k**2 - 3. Let d(o) = -5*h(o) - 3*m(o). Factor d(g).
-4*g**2*(g + 2)**3
Factor 6 - 21*n + 2*n**5 + 6*n**5 - 5*n**5 - 6*n**4 + 24*n**2 + 14*n**3 - 20*n**3.
3*(n - 1)**4*(n + 2)
Let s(j) be the second derivative of -2/225*j**6 + 0*j**5 + 1/45*j**3 + 0 + 0*j**2 + 1/45*j**4 - 1/315*j**7 + 7*j. Factor s(a).
-2*a*(a - 1)*(a + 1)**3/15
Let w(k) = 8*k**2 - 9*k + 15. Let i be w(6). Let p = i - 1237/5. Factor -14/5*n**2 + p + 24/5*n.
-2*(n - 2)*(7*n + 2)/5
Let p be (-112)/(-56) + (-2)/(-5). What is s in 26/5*s**2 + 2/5*s**4 - p*s**3 + 8/5 - 24/5*s = 0?
1, 2
Let z = -2/9 - -5/9. Factor -g - g**2 - z*g**3 - 1/3.
-(g + 1)**3/3
Factor 6/5 + 2/5*u**2 - 8/5*u.
2*(u - 3)*(u - 1)/5
Suppose 0*n = -3*v + n + 1, -3*v - 5*n - 5 = 0. Let x(y) be the first derivative of 1/2*y**2 + v*y - 1 - 2/3*y**3 + 1/4*y**4. Find f, given that x(f) = 0.
0, 1
Let x be (-2)/(-8) - 14/(-8). Suppose 0*j - x*j = -4. Factor 2 + c**2 - 3*c**j + 0.
-2*(c - 1)*(c + 1)
Let a(b) be the second derivative of b**5/40 - b**4/24 - b**3/12 - b**2 + 2*b. Let w(s) be the first derivative of a(s). What is t in w(t) = 0?
-1/3, 1
Let z(p) = -p**2 - 25*p + 19. Let o(j) = 8*j - 6. Suppose -4*h = -5*h - 2. Let q(y) = h*z(y) - 7*o(y). Solve q(x) = 0.
1, 2
Let r(v) be the third derivative of v**6/600 + v**5/100 - 36*v**2. Find u such that r(u) = 0.
-3, 0
Let u = 0 - 4. Let r be 3/(-12) - 9/u. Determine w so that -w - 2*w + 4 - r*w**2 - w - 6 = 0.
-1
Let o = -5 - -8. Let v be ((3 - o)/3)/2. Suppose 1/3*t**4 - 1/3*t**5 + 0 + v*t - 1/3*t**2 + 1/3*t**3 = 0. What is t?
-1, 0, 1
Let g(i) be the second derivative of 0 + 0*i**2 - 1/2*i**3 + i + 0*i**4 + 3/5*i**5. Factor g(t).
3*t*(2*t - 1)*(2*t + 1)
Suppose 3*s**3 + 4*s + 4*s - 3*s + 6*s**2 - 2*s = 0. What is s?
-1, 0
Let f be (10/7 - 2)*-7. Let v(r) be the first derivative of -2 + 1/8*r**f - 1/10*r**5 + 0*r - 1/12*r**6 + 1/6*r**3 + 0*r**2. Let v(s) = 0. Calculate s.
-1, 0, 1
Let b = -24 + 3. Let l = -62/3 - b. Find m such that -2/3*m**2 + 1/3*m**3 + 0 + l*m = 0.
0, 1
Let f(p) be the third derivative of -p**8/2184 + p**6/780 + 3*p**2. Factor f(o).
-2*o**3*(o - 1)*(o + 1)/13
Let b(u) be the second derivative of -4/5*u**5 - 10/3*u**4 - 17/6*u**3 + 0 + u - u**2. Factor b(g).
-(g + 2)*(4*g + 1)**2
Suppose -i + 2*d - 8 = 0, -d = -0 - 5. Suppose n**3 - 2*n**2 - 2 + 2*n + 4*n**i - 3*n**3 + 0*n = 0. Calculate n.
-1, 1
Let s be ((-13)/39)/((-2)/12). Factor 0*c + 0 - 2/3*c**s - 2/3*c**3.
-2*c**2*(c + 1)/3
Let c(s) = -27*s**5 + 65*s**4 - 54*s**3 + 9*s + 7. Let u(h) = -2 - 3*h + 18*h**3 + 0*h**5 - 22*h**4 + 9*h**5 + 0*h. Let i(q) = -2*c(q) - 7*u(q). Factor i(b).
-3*b*(b - 1)**3*(3*b + 1)
Let i(g) = g. Let z be i(7). Let r = z - 4. Factor 8*k**5 - 4*k**3 + 18*k**4 + 4*k**3 - 12*k - 16*k**2 + 4*k**r - 2.
2*(k - 1)*(k + 1)**3*(4*k + 1)
Let q = 16 + -19. Let r(s) = 5*s**2 + 8*s + 8. Let y(c) = -6*c**2 - 8*c - 8. Let p(n) = q*y(n) - 4*r(n). Factor p(g).
-2*(g + 2)**2
Solve -s + 1/5*s**3 - 2/5 + 1/5*s**4 - 3/5*s**2 = 0 for s.
-1, 2
Let b(u) be the second derivative of u**6/1440 - u**4/96 - u**3/2 + 2*u. Let y(a) be the second derivative of b(a). Factor y(r).
(r - 1)*(r + 1)/4
Let q(r) be the first derivative of r**8/28 + r**7/10 + r**6/20 - r**5/20 + r**2/2 - 4. Let t(p) be the second derivative of q(p). Factor t(a).
3*a**2*(a + 1)**2*(4*a - 1)
Let r be (-2)/2 + (-1)/(-8)*10. Let f(y) = y - 3. Let c be f(5). Solve -r*h**c + 0 - 1/4*h**3 + 0*h = 0 for h.
-1, 0
Let r(t) be the second derivative of t**5/60 - t**4/18 + t**3/18 + 6*t. Find q, given that r(q) = 0.
0, 1
Suppose 0 = -3*a + 4*c - 16, -2*a + c = 3*a + 4. Let 0 + a*z**2 + 3/5*z - 3/5*z**3 = 0. What is z?
-1, 0, 1
Let h be 9/1 + 0/(-8). Factor -2*c**2 - h*c**3 + c + 0*c + 10*c**3.
c*(c - 1)**2
Let s = 13 + -12. Let a = 1 - s. Determine f so that a + 4/5*f - 2/5*f**2 = 0.
0, 2
Suppose 2*q + 3*y + 3 = 12, 2*q - y - 5 = 0. What is z in -2/3*z - 2/3 + 2/3*z**q + 2/3*z**2 = 0?
-1, 1
Solve 2/17*c**3 - 2/17*c + 6/17 - 6/17*c**2 = 0 for c.
-1, 1, 3
Let t = 236 + -1648/7. Factor 