 5. Let -2/5*b**d + 0 + 2/5*b**4 + 0*b**2 + 0*b = 0. What is b?
0, 1
Let d = 485 - 3393/7. Factor d*w**2 - 2/7*w - 4/7.
2*(w - 2)*(w + 1)/7
Let a(y) be the second derivative of -y**4/12 - 9*y. Factor a(g).
-g**2
Let g be (106/265)/(6/20). Let r = -1 + 1. Factor 0*j + r + 2/3*j**2 + 2/3*j**4 + g*j**3.
2*j**2*(j + 1)**2/3
Let q be 8/52 + (-10)/(-273). Let y(o) be the second derivative of 0*o**4 + 2*o + 0*o**3 + q*o**7 - 1/10*o**5 + 0*o**2 + 0 + 1/5*o**6. Factor y(g).
2*g**3*(g + 1)*(4*g - 1)
Let q(p) be the first derivative of p**8/252 - p**7/105 + p**5/90 - 3*p**2/2 + 2. Let b(z) be the second derivative of q(z). Factor b(c).
2*c**2*(c - 1)**2*(2*c + 1)/3
Determine y so that -1 - y**2 - 2 + 6*y + 6 - 8 = 0.
1, 5
Let s be 8/(-6)*18/(-4). Suppose -2*k - k = -s. Factor -2*f**2 + 2*f - 2*f**3 + 2*f**k.
-2*f*(f - 1)*(f + 1)
Let d(m) = -24*m**3 - 89*m**2 - 81*m - 4. Let r(u) = u**3 + u**2 - u + 1. Let v(s) = d(s) - 6*r(s). Factor v(j).
-5*(j + 1)*(j + 2)*(6*j + 1)
Let f(b) = b**5 + b**4 + b**3 + b**2 + b. Let n(x) = -x - 2*x**3 - 2*x**4 - 52 + 52. Suppose -3*j - j = 8. Let p(q) = j*n(q) - 2*f(q). Factor p(i).
-2*i**2*(i - 1)**2*(i + 1)
Factor 9*i - 166*i**2 + 21*i + 171*i**2.
5*i*(i + 6)
Let x(i) be the third derivative of -i**7/210 + i**5/30 - i**3/6 + 27*i**2. Solve x(v) = 0.
-1, 1
Let m(l) = -7*l**4 + 13*l**3 - 7*l**2 - 12*l + 5. Let j(a) = 6*a**4 - 12*a**3 + 6*a**2 + 12*a - 4. Let n(o) = 5*j(o) + 4*m(o). Let n(u) = 0. What is u?
-1, 0, 2, 3
Let d(u) be the second derivative of u**6/40 - u**5/10 + u**4/8 - 3*u**2/2 - 5*u. Let z(n) be the first derivative of d(n). Determine w, given that z(w) = 0.
0, 1
Let i(w) be the third derivative of 0*w**3 - 2*w**2 + 0*w + 1/630*w**7 - 1/360*w**6 + 1/72*w**4 + 0 - 1/180*w**5. Solve i(u) = 0.
-1, 0, 1
Factor 1/2*p - 9/4*p**4 + 9/4*p**2 + 0 - 1/2*p**3.
-p*(p - 1)*(p + 1)*(9*p + 2)/4
Let s(n) be the second derivative of n**6/165 - 3*n**5/55 + 5*n**4/66 - 3*n - 6. Factor s(x).
2*x**2*(x - 5)*(x - 1)/11
Let k = 50 - 348/7. Let z = -936/7 + 134. Factor 2/7*u**3 + 2/7*u**2 - k - z*u.
2*(u - 1)*(u + 1)**2/7
Let -1/2*i - i**4 + 0 + 11/4*i**3 - 5/4*i**2 = 0. What is i?
-1/4, 0, 1, 2
Let k(s) be the first derivative of s**5/90 - s**4/9 + 4*s**3/9 - 3*s**2/2 - 6. Let n(j) be the second derivative of k(j). What is h in n(h) = 0?
2
Let j be (6 - 64)*(-3 - -1). Let s be -3 - -1*j/36. Let -4/9*b + 2/9 + s*b**2 = 0. What is b?
1
Let k(g) be the first derivative of 0*g - 1/12*g**4 + 2 + 1/9*g**3 + 1/6*g**2 - 1/15*g**5. What is i in k(i) = 0?
-1, 0, 1
Let i(l) = 6*l**3 + 8*l**2 - 2*l - 1. Let t(j) = -2 - 1 + 12*j**2 - 4*j + 12*j**3 + 0 + 4*j**2. Let h(r) = -5*i(r) + 3*t(r). Solve h(w) = 0 for w.
-1, 2/3
Suppose 0 = -4*v + v, 4*q - 5*v = 24. Factor 6 - 2*k**4 + 5*k**4 - 3*k**4 + 12*k**3 - q*k**2 - 9*k - 3*k**5.
-3*(k - 1)**3*(k + 1)*(k + 2)
Let 45*q**2 + 35 - 3*q**3 - 225*q + 151 + 189 = 0. Calculate q.
5
Let k(r) be the second derivative of r**4/12 - 7*r**3/3 - 8*r. Factor k(c).
c*(c - 14)
Find t such that 9/5*t**2 - 9/5*t**4 + 0 + 3/5*t**3 - 3/5*t**5 + 0*t = 0.
-3, -1, 0, 1
Let b(l) be the first derivative of -l**4 - 4*l**3/3 - 3*l**2/2 + 3*l + 3. Let u(w) = w**3 + w**2 + w - 1. Let q(h) = -2*b(h) - 6*u(h). Factor q(n).
2*n**2*(n + 1)
Find h, given that -33*h + 4*h**2 + 676 - 54*h + 42*h - 59*h = 0.
13
Let r = -675 - -4729/7. What is v in -r*v + 4/7*v**3 + 4/7*v**2 - 4/7 = 0?
-1, 1
Let t be (-1)/(-3) + 22/6. Let v be (t - 5)*(-16)/12. Find n such that 8/9*n**3 + 2/9 + v*n**2 + 8/9*n + 2/9*n**4 = 0.
-1
Let g = 308/3 + -102. Factor 0 + 0*h + 8/3*h**2 + 8/3*h**3 + g*h**4.
2*h**2*(h + 2)**2/3
Let a(k) be the third derivative of -27*k**8/784 + 27*k**7/245 - 9*k**6/280 - 23*k**5/70 + 9*k**4/14 - 4*k**3/7 + 3*k**2. Find r, given that a(r) = 0.
-1, 2/3, 1
Let p(f) be the third derivative of 2*f**7/105 - f**6/15 + f**4/3 - 2*f**3/3 + 6*f**2. Let p(u) = 0. Calculate u.
-1, 1
Let q(c) be the second derivative of -4*c + 0*c**2 + 1/18*c**4 - 1/30*c**5 + 0 - 1/27*c**3 + 1/135*c**6. Factor q(y).
2*y*(y - 1)**3/9
Let m(x) = -x**3 + x**2 + x - 1. Let d(v) = 5*v**3 + 7 - 2*v**3 - v**3 - 27*v - 32*v**2. Let l(c) = -2*d(c) - 22*m(c). Factor l(p).
2*(p + 1)*(3*p + 2)**2
Let u(t) = 8*t**3 - 25*t**2 + 8*t + 2. Let n(j) = -55*j**3 + 175*j**2 - 55*j - 15. Let m(s) = 2*n(s) + 15*u(s). Factor m(o).
5*o*(o - 2)*(2*o - 1)
Let p be 3 - (-3 - 12/(-4)). Factor -4*i + i**3 - i**2 - p*i**4 + i**3 + 4*i**4 + 2*i.
i*(i - 1)*(i + 1)*(i + 2)
Let z = -16 + 20. Let a(l) = -2*l + 2*l**2 - 5*l**2 + 0*l**2 + 5. Let h(s) = -4*s**2 - 2*s + 6. Let k(v) = z*h(v) - 5*a(v). Factor k(j).
-(j - 1)**2
Let w(l) be the third derivative of 0*l**6 - l**2 - 1/105*l**7 + 0 + 1/30*l**5 + 0*l + 0*l**3 + 0*l**4. Factor w(m).
-2*m**2*(m - 1)*(m + 1)
Let h(x) be the second derivative of -x**7/9 - 23*x**6/45 - 9*x**5/10 - 13*x**4/18 - 2*x**3/9 - 14*x. Find c such that h(c) = 0.
-1, -2/7, 0
Let m(i) be the third derivative of 0*i - 1/90*i**5 - i**2 + 1/6*i**4 - i**3 + 0. What is f in m(f) = 0?
3
Let a(o) = o**2 - 5*o - 1. Let s be a(5). Let i(v) = 4*v**3 - v**2 - v - 5. Let y(x) = -x**3 + x**2 + 1. Let m(h) = s*i(h) - 3*y(h). Factor m(c).
-(c - 1)*(c + 1)*(c + 2)
Let i(h) be the first derivative of 8*h**5/5 + 6*h**4 - 10*h**3 + 4*h**2 + 17. Solve i(k) = 0 for k.
-4, 0, 1/2
Determine w, given that -4*w + w**2 + 3*w**2 - 5*w**3 + w**4 + 4*w**2 = 0.
0, 1, 2
Let i(y) = y + 9. Let x be i(-7). Suppose 2*l - 2 - 4 = 0. Factor -n**3 - x*n**2 + n + n**l + n**3.
n*(n - 1)**2
Let p(t) be the second derivative of -3*t**5/35 - 10*t**4/21 - 2*t**3/7 + 49*t. Factor p(j).
-4*j*(j + 3)*(3*j + 1)/7
Suppose 36*l**3 + 87*l**4 - 30*l**5 + 37*l**2 - 6*l - 28*l**3 - 98*l**3 + 2*l**2 = 0. Calculate l.
0, 2/5, 1/2, 1
Factor -15*f - 18 + 14*f**2 + 9*f**2 - 26*f**2.
-3*(f + 2)*(f + 3)
Let z(j) be the second derivative of j**5/40 + j**4/2 + 4*j**3 + 16*j**2 + 2*j. Let z(i) = 0. Calculate i.
-4
Suppose 3*i - 4*i = -3*i. Determine t, given that 1/2*t**3 + 1/2*t + i + t**2 = 0.
-1, 0
Let l(i) be the first derivative of -1 + 0*i**2 - 1/1620*i**6 - 2/3*i**3 - 1/270*i**5 - 1/108*i**4 + 0*i. Let x(z) be the third derivative of l(z). Factor x(g).
-2*(g + 1)**2/9
Let o(j) be the first derivative of 0*j - 1 + 1/6*j**4 + 1/3*j**2 + 4/9*j**3. Let o(p) = 0. Calculate p.
-1, 0
Let o(z) = -z**3 - 4*z**2 - 2*z - 5. Let s be o(-4). Let h(q) = -q**2 - q - 1. Let y(t) = 3*t**2 + 4*t + 3. Let r(l) = s*y(l) + 6*h(l). Solve r(m) = 0.
-1
Let z(k) = -7*k**3 + 25*k**2 - 20*k + 2. Let y(d) = -7*d**3 + 26*d**2 - 20*d + 1. Let o = 7 + -3. Let v(g) = o*y(g) - 6*z(g). Factor v(w).
2*(w - 2)*(w - 1)*(7*w - 2)
Solve 2/3*r**4 + 0 - 8/3*r**2 - 8/3*r + 2/3*r**3 = 0.
-2, -1, 0, 2
Factor -24/17*g - 12/17*g**3 + 2/17*g**4 + 8/17 + 26/17*g**2.
2*(g - 2)**2*(g - 1)**2/17
Let j(z) = -z**3 + 4*z**2. Let c be j(4). Let m(i) be the second derivative of c*i**3 + 0*i**2 - i + 1/75*i**6 + 0*i**5 + 0 + 0*i**4. Solve m(d) = 0.
0
Let o(b) = -4*b**3 - 8*b**2 + 4*b + 12. Let m(n) = 4*n**3 + 7*n**2 - 4*n - 12. Let r(t) = -4*m(t) - 5*o(t). Let r(a) = 0. What is a?
-3, -1, 1
Let a be (-40 - -41)*1*-2 + 2. Factor a*x + 0 + 2/3*x**4 + 0*x**3 - 2/3*x**2.
2*x**2*(x - 1)*(x + 1)/3
Let m(w) = -w**2 - 27*w + 64. Let o(k) = -k**2 - 13*k + 32. Let r(x) = -3*m(x) + 5*o(x). Factor r(t).
-2*(t - 4)**2
Let l(c) = 270*c**2 - 210*c - 60. Let y(g) = -45*g**2 + 35*g + 10. Let p(x) = 4*l(x) + 25*y(x). Let p(f) = 0. Calculate f.
-2/9, 1
Determine m, given that -3*m**4 + 9*m**2 - 5*m**4 - 20*m**3 + 20*m**5 - m**2 = 0.
-1, 0, 2/5, 1
Let d(r) be the second derivative of r**7/105 - 7*r**6/75 + 9*r**5/25 - 2*r**4/3 + 8*r**3/15 + 2*r. Factor d(k).
2*k*(k - 2)**3*(k - 1)/5
Let i(r) be the second derivative of -r**4/6 - r**3 - 2*r**2 + r. Let i(z) = 0. What is z?
-2, -1
Let b(i) = -i**2 - i + 1. Let j(g) = 1. Let f(p) = 3*b(p) + 3*j(p). Factor f(s).
-3*(s - 1)*(s + 2)
Let x = 1313/7 - 187. Factor 2/7*i**3 - x*i + 0 + 2/7*i**2.
2*i*(i - 1)*(i + 2)/7
Let d be 846/(-235) - -2*2. Let 0 - 4/5*l - 2/5*l**2 + d*l**3 = 0. What is l?
-1, 0, 2
Let h be (9/5 - 1)/((-10)/(-50)). Factor 1/2*s - 1/2*s**3 - 1/2*s**h - 1 + 3/2*s**2.
-(s - 1)**2*(s + 1)*(s + 2)/2
Suppose -9*m = 38*m - 141. Find d such that -1/6*d**m + 3/2 - 1/2*d - 5/6*d**2 = 0.
-3, 1
Let t(w) = 3*w**3 + 28*w**2 + 94*w + 94. Let o(h) = -21*h**3