 -s**2 + 6*s + 2. Let y be d(6). Solve 6*j**3 - 4*j**3 + j**2 + 0*j**y + j**4 = 0.
-1, 0
Let y(w) = -14*w**2 + 2*w + 8. Let t(l) = 5*l**2 - l - 3. Suppose 5*f - 5*o - 35 = 0, -2*o = -o - 1. Let v(u) = f*t(u) + 3*y(u). Find b, given that v(b) = 0.
-1, 0
Factor -20 - 84*g**2 - 120*g + 12*g**2 + 51*g**2 - 154*g**2.
-5*(5*g + 2)*(7*g + 2)
Let a = 15 + -17. Let t be ((-2)/(-3))/(a/(-9)). Factor -t*p + 0 + 15/2*p**2 + 21/2*p**3.
3*p*(p + 1)*(7*p - 2)/2
Let j(u) = 25*u**4 - 5*u**3 - 215*u**2 + 245*u - 60. Let c(x) = -13*x**4 + 3*x**3 + 107*x**2 - 123*x + 30. Let a(b) = -5*c(b) - 2*j(b). Solve a(v) = 0 for v.
-3, 1/3, 1, 2
Let b(c) be the third derivative of -1/60*c**5 - 1/48*c**4 + 0 + 0*c**3 - 3*c**2 + 0*c. Factor b(n).
-n*(2*n + 1)/2
Suppose -4*n - 12 = -2*v, -3*v - 5*n = -n + 2. Suppose -i + 10 = -v*q, -i + q = 4*i - 14. Solve 4*t - i*t**2 - 6*t + 0*t**2 = 0.
-1, 0
Let w(r) be the third derivative of -11*r**5/270 - 5*r**4/108 + 2*r**3/9 + 23*r**2. Factor w(f).
-2*(f + 1)*(11*f - 6)/9
Let x(l) = -2*l - 1. Let d be x(-2). Factor 3*q**d - q**4 - q**4 - 6*q**3 + 4*q**3 + q**5.
q**3*(q - 1)**2
Let d(t) = t**5 - t**4 - t**2 + t - 1. Let x(v) = 165*v**5 - 300*v**4 + 120*v**3 + 15*v - 25. Let u(w) = 25*d(w) - x(w). Let u(z) = 0. Calculate z.
-2/7, 0, 1/4, 1
Let q = -169 - -169. Let x(d) be the second derivative of q*d**4 + 1/60*d**6 + 0 + 1/40*d**5 + 0*d**2 + 0*d**3 + 2*d. Factor x(r).
r**3*(r + 1)/2
Let s(z) be the second derivative of -z**6/30 - 3*z**5/40 + z**4/3 - z**3/4 + 12*z. Factor s(v).
-v*(v - 1)*(v + 3)*(2*v - 1)/2
Let i = 4 + -15/4. Factor -1/4*a**3 + 1/4*a**4 + i*a + 0 - 1/4*a**2.
a*(a - 1)**2*(a + 1)/4
Let 4/7*y + 0 - 2/7*y**3 + 2/7*y**2 = 0. Calculate y.
-1, 0, 2
Suppose 0 = -w - 4 + 8. Solve -n**4 + n**w - 4*n**4 = 0 for n.
0
Let l(h) be the third derivative of h**5/90 - h**4/36 - 8*h**2. Let l(a) = 0. Calculate a.
0, 1
Factor 0 - 8/7*u**2 + 0*u - 14*u**4 - 8*u**3.
-2*u**2*(7*u + 2)**2/7
Suppose -2*r + r + 17 = 5*i, 3 = -r. Let a be (-1)/((i/(-6))/2). Find w such that 0 + 0*w**2 - 1/4*w**4 + 0*w**a + 3/4*w**5 + 0*w = 0.
0, 1/3
Let o = -33 + 28. Let y be (-8)/o + (-20)/(-50). Determine r so that 1/3*r**y - 2/3*r + 1/3 = 0.
1
Let m(k) be the first derivative of 4*k**3/3 + 2*k**2 - 8*k - 13. Let m(b) = 0. Calculate b.
-2, 1
Let f = -13 - -18. Suppose p**2 - p**f + p**3 - p**2 + 0*p**5 = 0. What is p?
-1, 0, 1
Let m(r) = -r + 15. Let w be m(16). Let a be (-5)/(-4) - (-1)/w. Suppose 1/4*s**4 + 1/2 - 3/4*s**2 - a*s**3 + 1/4*s = 0. What is s?
-1, 1, 2
Let t = -104 - -730/7. Let m be -1 + (0/4 - 2 - -3). Let m - 2/7*b - t*b**2 = 0. What is b?
-1, 0
Let l be (4 + -3)*(1 + 1). Let q = l - 0. Factor -4*f**q - 3*f + 4 + 5*f**2 - f.
(f - 2)**2
Let r(o) be the third derivative of o**7/189 - o**6/30 + 2*o**5/45 + 2*o**4/27 - 27*o**2. What is s in r(s) = 0?
-2/5, 0, 2
Factor 10 - 55/2*o + 25/4*o**2.
5*(o - 4)*(5*o - 2)/4
Suppose -6*j + 20 = -4. Find t, given that 0 + 27/2*t**3 + 2*t - 27/4*t**j - 9*t**2 = 0.
0, 2/3
Let n(f) = 7*f**2 + f - 6. Let t = -7 + -4. Let x(r) = -20*r**2 - 4*r + 17. Let a(s) = t*n(s) - 4*x(s). Solve a(h) = 0 for h.
-2, 1/3
Let o(h) = -h**3 - h**2 - h. Let i(n) = -2*n**3 - 2*n**2 - 10*n - 4. Let q = -24 - -18. Let y(w) = q*o(w) + i(w). Factor y(j).
4*(j - 1)*(j + 1)**2
Let t(p) be the first derivative of 1/9*p**3 - 1/3*p + 3 - 1/12*p**4 + 1/6*p**2. Find f such that t(f) = 0.
-1, 1
Let s = -55 - -57. Factor -4/5*r**s + 4/5 - 14/5*r**3 + 14/5*r.
-2*(r - 1)*(r + 1)*(7*r + 2)/5
Let o = -2 + 2. Suppose 25*c = 12*c + 39. What is b in 3/2*b**c + 0*b**2 - 3*b**4 + 0*b + o = 0?
0, 1/2
Let f(t) be the third derivative of t**9/12096 - t**7/3360 - t**3/3 - 2*t**2. Let k(u) be the first derivative of f(u). Solve k(r) = 0 for r.
-1, 0, 1
Let a = -859/21 + 291/7. Factor a - 1/2*g**2 + 0*g - 1/6*g**3.
-(g - 1)*(g + 2)**2/6
Let r(y) be the second derivative of 1/12*y**4 + 5*y + 0 + 0*y**2 - 1/3*y**3. Factor r(i).
i*(i - 2)
Let l = -133 + 234. Let r = l + -907/9. Find s, given that -2/9*s**3 + 2/9*s**2 + r*s - 2/9 = 0.
-1, 1
Let p(u) be the third derivative of -u**9/120960 + u**8/20160 - 7*u**5/60 + 7*u**2. Let x(g) be the third derivative of p(g). Factor x(d).
-d**2*(d - 2)/2
Solve 3*p**3 - 40*p + 39*p**3 - 4*p**2 + 14 + 0*p**3 - 30 + 18*p**4 = 0 for p.
-2, -2/3, 1
Let n(o) be the first derivative of 3 + o**5 - 1/3*o**3 + 0*o - 3/4*o**4 + 1/2*o**2 - 1/3*o**6. Factor n(m).
-m*(m - 1)**3*(2*m + 1)
Let 0 + 3/7*p + 4/7*p**2 + 1/7*p**3 = 0. Calculate p.
-3, -1, 0
Let o(g) = -g**4 - g**3 - g - 1. Let d(r) = 2*r**4 + 12*r**3 + 5*r**2 - 18*r - 13. Let m(h) = -d(h) + 3*o(h). Factor m(p).
-5*(p - 1)*(p + 1)**2*(p + 2)
Suppose 0*c - c = z - 8, 0 = 4*c - 12. Suppose z*w - 12 = w. Factor 0 + 0*i**2 - 1/4*i**w + 0*i.
-i**3/4
Factor -4/9*h**2 + 0 - 8/3*h.
-4*h*(h + 6)/9
Let l be ((-12)/8)/(1/(-2)). Let n(o) be the first derivative of 1/2*o**2 - 2*o + 1 + 1/3*o**l. Determine x, given that n(x) = 0.
-2, 1
Let i(m) be the second derivative of -2*m**6/15 + m**5/5 + 3*m**4 + 22*m**3/3 + 8*m**2 + 3*m. Suppose i(u) = 0. What is u?
-1, 4
Suppose 2*m = -4*j, 7*m - 3*j = 3*m. Let x be (-1)/(-8)*4*m. Factor -10/9*f**4 + 4/9*f**2 + 0 - 2/3*f**3 + x*f.
-2*f**2*(f + 1)*(5*f - 2)/9
Let d(f) be the second derivative of -1/24*f**4 + 0 + 1/2*f**2 + 1/30*f**5 - 1/120*f**6 + f + 0*f**3. Let z(b) be the first derivative of d(b). Factor z(j).
-j*(j - 1)**2
Let n(x) be the third derivative of -x**7/420 + x**6/160 - x**5/240 + 70*x**2. Factor n(t).
-t**2*(t - 1)*(2*t - 1)/4
Let j(y) be the second derivative of -1/6*y**4 + 0*y**3 + 0*y**2 + 0 + 3/7*y**7 - 1/5*y**6 + 6*y - 1/2*y**5. Find p, given that j(p) = 0.
-1/3, 0, 1
Suppose 5*f - 25 = -2*m, -m + 0*f = 2*f - 10. Suppose m = -4*v + 2*v + 4. Solve 0 + 0*o - 2/7*o**v + 2/7*o**3 = 0 for o.
0, 1
Let s(b) be the third derivative of -1/24*b**3 + 0 - 1/240*b**5 - 1/48*b**4 + 2*b**2 + 0*b. Factor s(y).
-(y + 1)**2/4
Let m(i) be the third derivative of i**7/70 - i**6/40 - i**5/20 + i**4/8 - 33*i**2. Factor m(z).
3*z*(z - 1)**2*(z + 1)
Let b(t) be the first derivative of t**7/280 - t**6/40 + t**5/20 + 2*t**3 + 5. Let j(c) be the third derivative of b(c). Factor j(f).
3*f*(f - 2)*(f - 1)
Let q(t) be the second derivative of t**5/25 + 4*t**4/15 + 2*t**3/3 + 4*t**2/5 + 8*t. Factor q(u).
4*(u + 1)**2*(u + 2)/5
Let s(t) = -t**3 - 6*t**2 + t + 4. Let m be s(-6). Let r be m + (-6)/(6/(-2)). What is k in -2/3*k + r + 2/3*k**2 = 0?
0, 1
Factor -10*i - 4*i**2 + 23*i - 4 - 5*i.
-4*(i - 1)**2
Let o = -175 + 103. Let c = o + 218/3. Find a, given that 2/3*a**4 + 8/3*a + 4*a**2 + 8/3*a**3 + c = 0.
-1
Suppose 0*x - 6*x = 0. Let d be 0*(1 - x/(-2)). Factor -8/3*i**3 + d - 7/3*i**2 - i**4 - 2/3*i.
-i*(i + 1)**2*(3*i + 2)/3
Let f(q) be the first derivative of -q**8/504 - q**7/105 - q**6/90 - q**2/2 + 4. Let w(u) be the second derivative of f(u). Suppose w(i) = 0. What is i?
-2, -1, 0
Suppose 0 = 2*p - 2*r - 4, -p + 5*r + 4 = 2. Let u(q) be the second derivative of -1/6*q**4 - q + 0 - 2*q**p + q**3. Factor u(k).
-2*(k - 2)*(k - 1)
Let o be 0*-1*3/6. Factor -3*r**3 + 2 + o - 2.
-3*r**3
Let b = -3 - -3. Factor -f - 4*f**2 + b*f**2 + 5*f**2 - f**4 + f**3.
-f*(f - 1)**2*(f + 1)
Let a be 4/6 + 30/9. Factor 0*c**2 + a*c**2 - 6*c**2.
-2*c**2
Let g(v) = -v**3 - 3*v**2 - 3*v + 1. Let s(p) = 3*p**3 + 7*p**2 + 7*p - 2. Let j(t) = 5*g(t) + 2*s(t). Let j(h) = 0. What is h?
-1, 1
Let w(t) be the second derivative of -t**7/13860 - t**4/6 - 6*t. Let s(k) be the third derivative of w(k). Factor s(b).
-2*b**2/11
Suppose n + 396 = -2*n. Let x be (-4)/22 + (-57)/n. Find b, given that 0 - 1/2*b**2 + x*b - 1/4*b**5 + 1/2*b**4 + 0*b**3 = 0.
-1, 0, 1
Let f(v) = -2*v - 1. Let w be f(2). Let j = 6 - w. Factor 7*i**2 - 26*i**3 + 2*i**5 + 14*i**4 + 2 - j*i + 17*i**2 - 5*i**5.
-(i - 1)**4*(3*i - 2)
Let h(j) be the first derivative of -2*j**6/3 + 4*j**5 - 10*j**4 + 40*j**3/3 - 10*j**2 + 4*j + 53. Factor h(q).
-4*(q - 1)**5
Let l(z) be the first derivative of z**3/3 - z**2/2 - 18*z + 1. Let m(d) = -6. Let o(g) = 3*l(g) - 8*m(g). Factor o(i).
3*(i - 2)*(i + 1)
Suppose 16 = 4*o, 2*h + 4*o = -0*o + 16. Determine u so that h - 9/4*u**4 + 3/2*u**3 + 2*u + 5*u**2 = 0.
-2/3, 0, 2
Let b(i) = 4*i**4 + 7*i**3 - 13*i**2 - 16*i. Let h(n) = 12*n**4 + 22*n**3 - 38*n**2 - 48*n. Let s(v) = 10*b(v) - 3*h(v)