**3/18 + r/6 + 34. Factor a(c).
-(c - 1)*(c + 1)/6
Suppose -12*b = -7*b. Let w(z) be the second derivative of 0*z**2 + 2*z + 1/6*z**3 + 1/12*z**4 + b. Factor w(a).
a*(a + 1)
Let f(c) be the second derivative of 3*c - 1/30*c**4 - 2/5*c**3 + 0 - 9/5*c**2. Solve f(x) = 0.
-3
Let c(i) be the third derivative of 0 + 0*i**7 + 0*i**5 + 1/160*i**6 + 0*i + 0*i**4 + 0*i**3 - 1/448*i**8 + 2*i**2. Factor c(m).
-3*m**3*(m - 1)*(m + 1)/4
Factor -2*t**3 - 5*t**3 - 44*t + 3*t**3 + 20*t**2 + 12 + 16*t.
-4*(t - 3)*(t - 1)**2
Let t(y) = y**5 - y**4 - y**2 + y. Let r(w) = 8*w**5 - 7*w**4 - 2*w**3 - 7*w**2 + 8*w. Let j(m) = -4*r(m) + 28*t(m). What is g in j(g) = 0?
-1, 0, 1
Let f(j) be the second derivative of -j**5/10 + 2*j**4 - 16*j**3 + 64*j**2 + 6*j. Factor f(u).
-2*(u - 4)**3
Let r(y) be the second derivative of y**7/6300 + y**6/1800 - y**4/3 - 4*y. Let z(k) be the third derivative of r(k). Solve z(q) = 0 for q.
-1, 0
Factor -k**2 + 21*k - 16*k - 5*k**3 - 5 + 5*k**2 + k**2.
-5*(k - 1)**2*(k + 1)
Let j(g) = g**2 - g - 1. Let i(w) = -3*w**2 + 5*w + 2. Let v(t) = i(t) + 2*j(t). Factor v(l).
-l*(l - 3)
Let j(x) = -x**2 + 2*x - 3. Let k(g) = 1. Let o(h) = -j(h) - 6*k(h). Factor o(r).
(r - 3)*(r + 1)
Let a = 1 + 3. Let u(f) = 3*f**2 - 2*f - 6*f - 6*f**2 + a*f**2. Let c(y) = 4*y**2 - 41*y. Let z(o) = 2*c(o) - 11*u(o). Factor z(t).
-3*t*(t - 2)
Suppose -5*b - 4 = 2*k, 0*b = -4*k - 2*b + 8. Factor -c**3 + 2*c**2 + c**k - 5*c**2 - 3*c**3.
-3*c**2*(c + 1)
Let p(z) = -z**2 - 3*z + 2. Let o be ((-4)/8)/(2/12). Let n be p(o). Factor 1 + v + n*v**2 + 3*v + 1 + 0.
2*(v + 1)**2
Solve 8*j - 2*j**3 - 26*j**2 + 26*j**2 = 0.
-2, 0, 2
Let a = 83 + -329/4. Let 1/4*z**4 - a*z**2 + 1 + 1/2*z**3 - z = 0. What is z?
-2, 1
Let m(q) be the first derivative of -23*q**3 + 3*q**2 + 22. Factor m(t).
-3*t*(23*t - 2)
Let d(x) be the third derivative of x**7/630 - x**5/30 + x**4/9 - x**3/6 - 16*x**2. Let d(m) = 0. Calculate m.
-3, 1
Let o(t) be the third derivative of t**8/2688 - t**7/1680 - t**6/240 + t**5/120 - 10*t**2. Find g, given that o(g) = 0.
-2, 0, 1, 2
Let v(m) be the first derivative of -2*m**3/21 + 4*m**2/7 - 8*m/7 - 8. Factor v(s).
-2*(s - 2)**2/7
Factor 3/7*h**2 + 0 + 3/7*h**3 - 3/7*h**4 - 3/7*h.
-3*h*(h - 1)**2*(h + 1)/7
Suppose 7*k - 16 = 3*k. What is x in -197 + 14*x + 17*x - k*x + x**3 + 170 - 9*x**2 = 0?
3
Let g = 16 - 9. Let f(s) = 3*s**3 - s**2 - 2*s. Let n(z) be the second derivative of z**5/2 - z**4/4 - 7*z**3/6 + z. Let b(d) = g*f(d) - 2*n(d). Factor b(c).
c**2*(c - 1)
Factor -1/3*c - 1 + c**2 + 1/3*c**3.
(c - 1)*(c + 1)*(c + 3)/3
Let m(k) = -k - 2*k**4 + 2 + 3*k**4 + k**3 - 1. Let p = 3 + -1. Let h(g) = 5*g**4 - g**2 - 2*g + 2. Let s(r) = p*m(r) - h(r). Let s(b) = 0. What is b?
-1/3, 0, 1
Let r(i) be the first derivative of -8/33*i**3 + 2 - 7/33*i**6 - 7/11*i**2 + 4/55*i**5 + 4/11*i + 7/11*i**4. Solve r(n) = 0 for n.
-1, 2/7, 1
Let v = 1 - -2. Let f = v - 3. Solve 0*h + f + 1/5*h**2 = 0 for h.
0
Let i(c) = -25*c**2 - 30*c + 1. Let t(r) = -225*r**2 - 270*r + 10. Let q(z) = 55*i(z) - 6*t(z). Factor q(l).
-5*(l + 1)*(5*l + 1)
Let i(g) be the second derivative of g**6/105 - g**4/21 + g**2/7 + 12*g. Factor i(q).
2*(q - 1)**2*(q + 1)**2/7
Let a = 78 + -75. Factor -1 + 5/2*f**4 - 7/2*f + 7/2*f**a - 3/2*f**2.
(f - 1)*(f + 1)**2*(5*f + 2)/2
Let d be (8/50)/(352/(-60) - -6). Factor d*i**2 - 2/5*i**3 - 6/5*i + 2/5.
-2*(i - 1)**3/5
Let y(z) = -4*z**2 + 12*z - 8. Let j(s) = -4*s**2 + 11*s - 7. Let v(o) = 4*j(o) - 3*y(o). Suppose v(d) = 0. What is d?
1
Let l be (1544/10)/(9 + 9). Let t = 44/5 - l. Let 0 + t*u**2 + 2/9*u = 0. Calculate u.
-1, 0
Let o(t) be the second derivative of -t**4/66 + t**3/33 + 2*t**2/11 - 2*t. Determine u so that o(u) = 0.
-1, 2
Let d be (-2)/(-8) + (-24)/(-160). Let j(h) be the first derivative of -3 + 2*h**4 - d*h**5 - 2*h + 4*h**2 - 4*h**3. Factor j(c).
-2*(c - 1)**4
Let x(n) be the third derivative of -n**7/735 + n**5/35 + 2*n**4/21 + n**3/7 - 15*n**2. Let x(m) = 0. What is m?
-1, 3
Determine p so that p**3 + 8*p - 3*p**4 - p**4 + 15*p**3 - 20*p**2 = 0.
0, 1, 2
Let r(l) be the second derivative of 0*l**2 - 1/80*l**5 + 0 + 0*l**4 + 1/24*l**3 + 6*l. Factor r(v).
-v*(v - 1)*(v + 1)/4
Let i be (-4)/8 - (-14)/(-4). Let l be (12/(-9))/i*4. Let 17/3*a**4 + l*a**5 + 1/3 + 22/3*a**2 + 28/3*a**3 + 8/3*a = 0. Calculate a.
-1, -1/4
Determine j, given that -10/7*j**3 - 2/7*j**4 - 6/7*j - 2*j**2 + 0 = 0.
-3, -1, 0
Let g(w) be the third derivative of -w**6/120 + w**5/40 + 5*w**3/6 + 6*w**2. Let b(f) be the first derivative of g(f). Factor b(x).
-3*x*(x - 1)
Factor 26*y**4 + 13*y + 4*y**4 + 65*y**3 + 5*y**5 + 11*y - 4*y + 60*y**2.
5*y*(y + 1)**2*(y + 2)**2
Let y(x) be the second derivative of 7*x**5/80 - 5*x**4/48 - 2*x**3/3 - x**2/2 - 13*x. Factor y(r).
(r - 2)*(r + 1)*(7*r + 2)/4
Let t = 258 + -257. Solve 1/2*q - t + 9/2*q**2 + 5/2*q**4 - 13/2*q**3 = 0.
-2/5, 1
Let k(a) be the first derivative of -a**3/9 - a**2/3 - 4. Factor k(c).
-c*(c + 2)/3
Let q = -12 - -25. Suppose -q = -3*k - 4. Solve -3*t**k - 3*t**3 + 2*t**3 + 2*t**3 = 0.
0
Solve -23*c**3 - 3 + 3*c**2 - 3*c**2 + 6*c + 3*c**4 + 17*c**3 = 0 for c.
-1, 1
Let f(t) = 4*t + 62. Let s be f(-15). Let h(n) be the first derivative of -1/3*n**3 - 3 + 1/4*n**4 + 1/12*n**6 - 3/4*n**s - 1/2*n + 3/10*n**5. Factor h(a).
(a - 1)*(a + 1)**4/2
Suppose 0*z + 3*z = 6. Find u such that 3*u**5 - 6*u**5 + z*u**5 + 2*u**4 = 0.
0, 2
Let k = 190 + -190. Factor -1/2*m**2 - 2*m**3 - 5/2*m**4 + k*m - m**5 + 0.
-m**2*(m + 1)**2*(2*m + 1)/2
Solve 2*o**3 - 4/7*o**2 - 2*o**5 + 0 + 0*o + 4/7*o**4 = 0.
-1, 0, 2/7, 1
Factor -2/13*j**2 + 2/13*j + 4/13.
-2*(j - 2)*(j + 1)/13
Let u(h) = h**4 + 5*h**3 - h**2 + 3*h. Let z(o) = o + 1. Let f be z(3). Let v(j) = -j**3 - j. Let r(p) = f*v(p) + u(p). Solve r(d) = 0.
-1, 0, 1
Let s(g) be the third derivative of 1/360*g**6 + 0*g - 2*g**2 + 0*g**4 + 0 - 2/9*g**3 + 1/60*g**5. Factor s(m).
(m - 1)*(m + 2)**2/3
Let q(a) be the third derivative of a**8/504 + a**7/315 - a**6/60 - a**5/90 + a**4/18 - 6*a**2. Suppose q(b) = 0. What is b?
-2, -1, 0, 1
Let o = -6 + 9. Let m = o + 3. Factor -m*j**2 - 2 + 3*j**2 - 4*j + 0*j + j**2.
-2*(j + 1)**2
Let q = -11 + 19. Solve -10*c + 2*c + q - 2*c**2 + 4*c**2 = 0.
2
Factor 0 + 32/13*a - 16/13*a**2 + 2/13*a**3.
2*a*(a - 4)**2/13
Let z(i) be the second derivative of -i**7/210 - i**6/120 + i**5/120 - i**3/2 + 4*i. Let k(o) be the second derivative of z(o). Suppose k(j) = 0. Calculate j.
-1, 0, 1/4
Let u(d) be the third derivative of -d**4/12 - 11*d**3/6 + 2*d**2. Let r be u(-8). Factor -4*x**2 + 5*x**5 + 0*x**r + 2*x**2 + 8*x**4 + x**3.
x**2*(x + 1)**2*(5*x - 2)
Let k(v) be the second derivative of -v**6/360 + v**4/24 - v**3/9 + v**2/2 - v. Let b(y) be the first derivative of k(y). Suppose b(c) = 0. What is c?
-2, 1
Let n = 8 + -4. Let 2*r**3 + r**3 + 14*r**n - 4*r - 13*r**4 = 0. Calculate r.
-2, 0, 1
Let h = 108 - 105. Let z(c) be the second derivative of 1/30*c**4 - 1/30*c**3 + 1/50*c**5 + h*c - 1/150*c**6 - 1/210*c**7 - 1/10*c**2 + 0. Factor z(j).
-(j - 1)**2*(j + 1)**3/5
Let q be ((-5)/155)/(5/(-4)). Let r = 1538/465 + q. Find m such that -r*m**3 + 10/3*m - 2/3*m**2 + 2*m**4 - 4/3 = 0.
-1, 2/3, 1
Let h**3 + 0 - 1/3*h**4 + 0*h - 2/3*h**2 = 0. What is h?
0, 1, 2
Let d(p) be the second derivative of -p**6/90 + p**5/60 + p**4/36 - p**3/18 - 3*p. Factor d(t).
-t*(t - 1)**2*(t + 1)/3
Let a = -94 + 847/9. Let q(n) be the third derivative of -a*n**3 + 1/36*n**4 + 1/18*n**5 + 2*n**2 + 0 + 1/60*n**6 + 0*n. Determine o, given that q(o) = 0.
-1, 1/3
Let x(c) = 4*c**4 - 12*c**3 + 5*c**2 - 4*c. Let i(y) = -2*y**4 + 6*y**3 - 3*y**2 + 2*y. Let h(j) = -14*i(j) - 6*x(j). Solve h(g) = 0.
0, 1
Let 1/7*s**5 + 0*s + 4/7*s**4 + 5/7*s**3 + 0 + 2/7*s**2 = 0. What is s?
-2, -1, 0
Let m(a) be the third derivative of -4*a**5/75 - a**4/15 - a**3/30 - 2*a**2. Determine u, given that m(u) = 0.
-1/4
Let y(o) be the second derivative of 0 + 0*o**2 + 7/120*o**5 + 2/9*o**4 - 6*o + 1/9*o**3. What is k in y(k) = 0?
-2, -2/7, 0
Factor 75*i**3 + 20*i**5 + 2*i**2 - 2*i - i**2 + 34*i**2 + 7*i + 65*i**4.
5*i*(i + 1)**3*(4*i + 1)
Suppose 5*p**4 + 48*p**3 - 35*p**2 - 17*p**3 - 21*p**3 - 9*p + 29*p = 0. Calculate p.
-4, 0, 1
Suppose -4*c - 10 = -6*c. Solve -3*u**2 - 3*u + c*u**2 - u = 0 for u.
0, 2
Let m(s) = -s**5 -