 derivative of 2/5*b + 2/15*b**3 + 2/5*b**2 + 1. Factor f(i).
2*(i + 1)**2/5
Factor 90*z + 1/2*z**4 - 9*z**3 + 61/2*z**2 + 50.
(z - 10)**2*(z + 1)**2/2
Let t(d) be the second derivative of -1/2*d**4 + 0 + 0*d**2 + 3*d + 9/10*d**5 + 2/3*d**6 - 2/3*d**3. Find o such that t(o) = 0.
-1, -2/5, 0, 1/2
Let d(t) be the first derivative of -2*t**6/3 + 14*t**5/5 - 9*t**4/2 + 10*t**3/3 - t**2 - 3. Factor d(x).
-2*x*(x - 1)**3*(2*x - 1)
Factor 4/3*j**3 + 0 + 100/3*j + 40/3*j**2.
4*j*(j + 5)**2/3
Let f(k) be the second derivative of -k**6/50 + 3*k**5/100 + k**4/20 - k**3/10 + 5*k. Factor f(n).
-3*n*(n - 1)**2*(n + 1)/5
Let d(q) be the third derivative of -1/90*q**5 + 0*q + 0*q**3 - 1/18*q**4 + 0 + 3*q**2 + 1/60*q**6. Factor d(v).
2*v*(v - 1)*(3*v + 2)/3
Let x(u) = u. Suppose 7 = -3*k + 16. Let t be x(k). Find m such that -2*m**2 + 0 + 1/3*m + t*m**3 - 4/3*m**4 = 0.
0, 1/4, 1
Let r(t) be the third derivative of -t**5/210 + t**4/21 - 4*t**3/21 - 6*t**2. Factor r(j).
-2*(j - 2)**2/7
Determine g, given that -72*g - 4 - 45*g**4 - 45*g**4 - 275*g**2 + 65*g**2 - 4 - 236*g**3 = 0.
-1, -2/5, -2/9
Let r(x) be the first derivative of -2*x**6/3 + 28*x**5/5 - 18*x**4 + 80*x**3/3 - 16*x**2 + 9. Factor r(k).
-4*k*(k - 2)**3*(k - 1)
What is n in 20 + 2*n**2 + 85*n**3 + 5*n**5 + 0 + 35*n**4 + 123*n**2 + 80*n + 10*n**3 = 0?
-2, -1
Suppose -5*w = -0*w - 10. Factor -4*x**2 - 3*x**2 - 12*x - 12 + 4*x**w.
-3*(x + 2)**2
Let g(u) be the third derivative of -u**5/20 - u**4/2 - 2*u**3 + 4*u**2. Solve g(r) = 0.
-2
Let b(z) be the second derivative of 1/180*z**5 + 1/72*z**4 - 1/2*z**2 + 0*z**3 + 2*z + 0. Let f(j) be the first derivative of b(j). Solve f(u) = 0 for u.
-1, 0
Let j be (3 - 64/24)/((-2)/(-12)). Factor -2/5*z - 2/5*z**j + 4/5.
-2*(z - 1)*(z + 2)/5
Let q(o) be the second derivative of -o**6/30 - o**5/20 + o**4/12 + o**3/6 + 4*o. Determine w, given that q(w) = 0.
-1, 0, 1
Let w(m) be the first derivative of m**7/168 + m**6/180 - m**5/24 - m**4/12 + m**3 - 1. Let j(o) be the third derivative of w(o). Factor j(c).
(c - 1)*(c + 1)*(5*c + 2)
Let w(h) be the second derivative of -h**4/12 + h**2/2 - 12*h. Find y such that w(y) = 0.
-1, 1
Let j(v) be the first derivative of -1/12*v**6 - 1/5*v**5 + 0*v + 0*v**3 + 0*v**2 - 1/8*v**4 - 1. Factor j(q).
-q**3*(q + 1)**2/2
Let k(s) = 10*s**4 + 20*s**2 + 45*s - 15. Let d(j) = -j**4 + j**2 - j + 1. Let y(g) = 15*d(g) + k(g). Factor y(o).
-5*o*(o - 3)*(o + 1)*(o + 2)
Let f(t) = -t**3. Let g(v) = 16*v**3 + 8*v**2 + 4*v. Let z(l) = -12*f(l) - g(l). What is a in z(a) = 0?
-1, 0
Suppose -u - u - 4 = -2*o, 0 = -2*u - 8. Let a be o/(-6) + 40/15. Solve -4*g**3 - a*g**2 + 0*g**4 + 2*g**4 + 5*g**2 = 0 for g.
0, 1
Suppose 4*a - 5 = 3. Factor 3*b**3 - 9 + 9 - 6*b**a + 3*b.
3*b*(b - 1)**2
Suppose 0*v = 3*v. Factor -m**5 - 2*m**4 + 4*m**4 - m**5 + 4*m**3 + v*m**4.
-2*m**3*(m - 2)*(m + 1)
Let i = -154 + 154. Let k(a) be the second derivative of 0*a**2 + i - 4*a + 0*a**3 - 1/66*a**4. Factor k(l).
-2*l**2/11
Let u be (10 - 2)/(-2) + -28. Let o = 35 + u. Factor 0 + 0*m + 2/5*m**o + 4/5*m**2.
2*m**2*(m + 2)/5
Let p be 8/(-6)*(-10)/40. Factor 0*g**2 - g + 2/3 + p*g**3.
(g - 1)**2*(g + 2)/3
Let k = -2 + -6. Let c be (k/(-4))/(4 + 0). Factor 0 + 1/2*r - 1/2*r**4 + 1/2*r**2 - c*r**3.
-r*(r - 1)*(r + 1)**2/2
Suppose -t + 0 = -4. Let 0*z**4 + z**2 + z - 2*z**3 - z**t + z = 0. What is z?
-2, -1, 0, 1
Let a be (-14)/8 - (17 + -14 + -5). Let k be 1/1 + 1/(-4). Factor k*t**2 + a - t.
(t - 1)*(3*t - 1)/4
Let b be ((-24)/(-20))/((-24)/(-90)). Factor b*d - 3 - 3/2*d**2.
-3*(d - 2)*(d - 1)/2
Determine n so that -1/4*n**2 + 1/2 - 1/4*n = 0.
-2, 1
Factor -2/7*h**3 + 0 - 2/7*h + 4/7*h**2.
-2*h*(h - 1)**2/7
Let z(p) = -p**2 + 4*p - 6 - 3*p - p**3 + 5. Let r(x) = x**4 - 7*x**3 - 9*x**2 + 7*x - 4. Let f(m) = r(m) - 6*z(m). Factor f(j).
(j - 2)*(j - 1)*(j + 1)**2
Let k = -31 - -31. Solve 1/2 + k*c - 1/2*c**2 = 0 for c.
-1, 1
What is t in 2*t**3 - 2*t - 14/5*t**4 + 18/5*t**2 - 4/5 = 0?
-1, -2/7, 1
Let u(p) be the second derivative of -3*p**5/50 + p**4/15 + p**3/5 - 2*p**2/5 + 30*p. Let u(z) = 0. Calculate z.
-1, 2/3, 1
Let c be (1/(-2))/(5/2). Let h = c - -7/10. Let -1/4*p**3 + 0*p**2 + 3/4*p - h = 0. What is p?
-2, 1
Let g be 4/(-10) + 24/10. Factor -b + 0*b + b + g*b**4.
2*b**4
Let p(q) = -2*q**2 - 5*q - 4. Let g be p(-5). Let o = 21 - g. What is b in -5 + 13 + 13*b + o*b**2 + 27*b = 0?
-2/5
Let v = 1 + -1. Find i such that 0*i**2 + 5 + 3*i**3 - 2 - 3*i + v*i**2 - 3*i**2 = 0.
-1, 1
Let l = 549/3080 + 1/280. Factor -2/11 - 4/11*s - l*s**2.
-2*(s + 1)**2/11
Let d(l) = l**2 + l - 6. Let a be d(6). Let u be a/7*28/20. Factor -u*o**3 + 12/5*o**2 + 0 + 0*o + 27/5*o**4.
3*o**2*(3*o - 2)**2/5
Let c(w) = -4*w**3 + 7*w**2 + 10*w + 4. Let x(o) = 2*o**3 - 4*o**2 - 5*o - 2. Let f(g) = -3*c(g) - 5*x(g). Factor f(b).
(b - 2)*(b + 1)*(2*b + 1)
Let b(o) be the second derivative of -21/5*o**6 + 7/6*o**7 + 109/20*o**5 - 3*o**4 + 0 + 3*o + 2/3*o**3 + 0*o**2. Factor b(c).
c*(c - 1)**2*(7*c - 2)**2
Let b(s) = 2*s**3 + 3*s**2 - 5*s + 3. Let i(k) = k**3 - k + 1. Let q(l) = -2*b(l) + 6*i(l). Factor q(j).
2*j*(j - 2)*(j - 1)
Suppose -s + 2 = 5*k, -2*k + 1 = -3*s + 7. Let m(u) be the second derivative of -u + 1/4*u**s + 0 + 0*u**3 - 1/24*u**4. Factor m(w).
-(w - 1)*(w + 1)/2
Solve -14*v**5 + 7*v**4 + 2*v**2 + 13*v**5 - 9 + 15*v + 0*v**2 - 14*v**3 = 0.
-1, 1, 3
Let x(m) = -5*m**4 - 8*m**3 - 5*m**2 - 6. Let y(t) = -14*t**4 - 23*t**3 - 14*t**2 - 17. Let k(i) = 17*x(i) - 6*y(i). Factor k(j).
-j**2*(j - 1)**2
Suppose 3*b - 6 - 3 = -l, -4*b = 4*l - 20. Let r(q) be the second derivative of -2*q - 3/100*q**5 - 3/10*q**b - 3/20*q**4 + 0 - 3/10*q**3. Factor r(a).
-3*(a + 1)**3/5
Suppose 4*d - 2 = -3*b + 7, 0 = -5*b + d + 38. Find n, given that -4*n + 4 - b - 2*n**2 + 1 = 0.
-1
Let t be ((-130)/455)/(4/(-70)). Suppose -16/13*o**4 + 32/13*o**t + 2/13*o**3 + 0*o**2 + 0 + 0*o = 0. Calculate o.
0, 1/4
Let l(k) be the second derivative of 1/12*k**3 - 1/120*k**5 + 0*k**4 + 4*k + 1/6*k**2 + 0. Let l(z) = 0. What is z?
-1, 2
Let j(t) = -3*t**5 + 3*t**4 - 5*t**3 + t**2. Let o(u) = 5*u**5 - 5*u**4 + 9*u**3 - 2*u**2. Let k(g) = 7*j(g) + 4*o(g). Let k(z) = 0. Calculate z.
-1, 0, 1
Let z(q) be the third derivative of -q**6/360 + q**5/120 + q**3/6 + 7*q**2. Let x(f) be the first derivative of z(f). Solve x(t) = 0.
0, 1
Let q(y) = -6*y**3 + 8*y**2 - 12*y. Let p(h) = -2*h**3 + 3*h**3 + 0*h + h. Let j(x) = -4*p(x) - q(x). Factor j(c).
2*c*(c - 2)**2
Let l(d) be the second derivative of 1/9*d**3 + 0 + 1/36*d**4 - d + 1/6*d**2. Solve l(i) = 0 for i.
-1
Let p be 2/5 - 44/110. Let c(x) be the third derivative of 1/30*x**5 + p*x**3 + 0*x - x**2 - 1/60*x**6 + 0 + 0*x**4. Determine r, given that c(r) = 0.
0, 1
Let x(d) be the first derivative of -d**3/3 + d**2 + 12. Determine z so that x(z) = 0.
0, 2
Let c(l) = l - 6 + 2*l + 0*l. Let p be c(4). Factor 5*s - p - 24*s + 12*s**2 - 2*s.
3*(s - 2)*(4*s + 1)
Suppose h = -3*h + 12. Factor -2*t**2 + 0*t**3 - 2*t**3 - h*t**3 + 3*t**3.
-2*t**2*(t + 1)
Let f be (-8)/(-3) - (8 - (-88)/(-12)). Determine a, given that -8/3 - 2/3*a**f + 8/3*a = 0.
2
Let m be 4/1 - -2 - 1. Determine v so that m*v - v - 3*v**2 - v = 0.
0, 1
Find k, given that 1/4*k - 1/4*k**3 + 3/4*k**2 - 1/2 - 1/4*k**4 = 0.
-2, -1, 1
Let m = 10 - 8. Determine h, given that 1 - 4*h**m + 2 + 3*h**2 + 6*h + 4*h**2 = 0.
-1
Factor -2/5*a**2 + 2/5 + 0*a.
-2*(a - 1)*(a + 1)/5
Factor 1 + 3*v**5 - 15*v**3 + 24*v - 3*v**4 + 2 - v**2 + 4*v**2 + 9.
3*(v - 2)**2*(v + 1)**3
Let k(z) = 12*z**2 + z - 1. Let i(g) = -6*g**2. Let b(m) = 7*i(m) + 3*k(m). Let a(n) = -7*n**2 + 4*n - 4. Let w(r) = -3*a(r) + 4*b(r). Factor w(h).
-3*h**2
Let t(d) = d + 3. Let k be t(0). Let m be (k*2)/3 - 0. Suppose 5*i + m*i**3 + 16 + 12*i**2 + 6*i + 13*i = 0. What is i?
-2
Suppose -5*p + 7 = -3. Let a(k) = 5*k + 1 - k**2 - p + 3*k. Let h(y) = 2*y**2 - 17*y + 2. Let f(c) = 13*a(c) + 6*h(c). Solve f(u) = 0.
1
Let g = -73 - -73. Determine t so that 0 + 1/4*t + g*t**2 - 1/4*t**3 = 0.
-1, 0, 1
Let z(c) be the second derivative of -c**4/4 + 4*c**3 - 24*c**2 - 8*c. Factor z(u).
-3*(u - 4)**2
Let s be 17/(-34) - 18/(-4). Let u(f) be the second derivative of -1/3*f**s + 5/6*f**3 + 0 - f - 1/2*f**2. Determine a, given that u(a) = 0.
1/4, 1
Solve 1/4*m**5 + 0*m**2 + 0*m**4 + 0*m - 1