 15)*(v - 1)/7
Let x(b) be the second derivative of -3*b**5/20 - 2*b**4/3 - b**3/2 + b**2 + 86*b. Factor x(q).
-(q + 1)*(q + 2)*(3*q - 1)
Let v be 1155/245 + 4/14. Let n(r) be the first derivative of -1/3*r**2 - 4/9*r**3 - v + 0*r - 1/6*r**4. Solve n(k) = 0.
-1, 0
Let b(x) = -4*x**3 + x**2 + 1. Let m(z) = 35*z**3 - 28*z**2 - 31*z - 16. Let r(n) = 8*b(n) + m(n). Suppose r(f) = 0. Calculate f.
-1, -1/3, 8
Let t(g) be the second derivative of -g**6/1440 - g**5/240 - g**4/96 - g**3/2 - 11*g. Let x(n) be the second derivative of t(n). Factor x(q).
-(q + 1)**2/4
Let w = -351 - -355. Let o(v) be the second derivative of 4/15*v**6 + 0 + 0*v**2 + 0*v**3 + 1/5*v**5 - 1/3*v**4 - w*v. Solve o(i) = 0 for i.
-1, 0, 1/2
Let c(l) be the second derivative of -l**4/42 + 10*l**3/21 - 3*l**2 + 354*l. Find o, given that c(o) = 0.
3, 7
What is o in -3 + 9*o + 5 + 6*o**2 - 16 + o - o**3 - o = 0?
-2, 1, 7
Let u(b) = -b**3 + 8*b**2 - b - 36. Let l be u(7). Let g be ((-12)/10 + 2)/((-9)/(-15)). Factor 0*k**2 + 0 + 14/3*k**5 + g*k**3 - l*k**4 + 0*k.
2*k**3*(k - 1)*(7*k - 2)/3
Let z = -2452 + 4905/2. Let g(r) be the first derivative of -8 + 0*r**5 + 0*r**4 + z*r**6 + 0*r + 0*r**3 + 0*r**2. Determine f, given that g(f) = 0.
0
Let j(x) be the second derivative of -x**5/10 - 2*x**4/3 + x**3 + 18*x**2 + 159*x + 1. Let j(v) = 0. Calculate v.
-3, 2
Let i(c) be the first derivative of 2*c**3/9 - c**2/3 + 92. Factor i(z).
2*z*(z - 1)/3
Let u(k) be the first derivative of -3 + 1/6*k**4 + 0*k**2 + 4*k - k**3. Let d(w) be the first derivative of u(w). Determine x so that d(x) = 0.
0, 3
Let z(l) = -16*l**2 + 93*l - 115. Let q(y) = -40*y**2 + 232*y - 288. Let n(m) = 5*q(m) - 12*z(m). Let n(k) = 0. Calculate k.
5/2, 3
Let c(j) be the first derivative of -2*j**6/45 + 2*j**5/5 - j**4 + 18*j + 11. Let b(t) be the first derivative of c(t). Determine o so that b(o) = 0.
0, 3
Suppose 5*a + 2 = 3*a + 4*h, 4*h = a + 7. Find m such that a*m - 10*m**2 - 17 + 9 + 13 = 0.
-1/2, 1
Let x(t) be the first derivative of 1/27*t**3 + 0*t + 1/90*t**5 + 1/540*t**6 - 5/2*t**2 + 3 + 1/36*t**4. Let z(m) be the second derivative of x(m). Factor z(y).
2*(y + 1)**3/9
Let n be 55/33 + (-1)/(-3). Suppose 3*q = -2*d - 8, n = 5*d - 0*d + 2*q. Suppose -1 - 1/4*h**d + h = 0. Calculate h.
2
Suppose 0 = 8*o - 20 + 4. Let i(d) be the first derivative of 2*d**2 - 8/3*d**3 + 0*d + o - 3*d**4. Determine x so that i(x) = 0.
-1, 0, 1/3
Factor 0*q**2 - 1/7*q**3 + 30/7 + 31/7*q.
-(q - 6)*(q + 1)*(q + 5)/7
Let c(s) be the third derivative of -s**6/180 + s**5/18 - s**4/18 - 8*s**3/9 - 22*s**2. Factor c(k).
-2*(k - 4)*(k - 2)*(k + 1)/3
Let x(m) be the first derivative of 3*m**5/5 + 9*m**4/4 - 9*m**3 + 15*m**2/2 - 9. Determine y so that x(y) = 0.
-5, 0, 1
Let x(t) be the second derivative of t**6/1440 - t**5/80 + 3*t**4/32 - 5*t**3/6 + 38*t. Let k(o) be the second derivative of x(o). Let k(y) = 0. Calculate y.
3
Find h, given that -152*h - 44*h**4 + 122*h - 4*h**5 - 98*h - 256*h**2 - 113*h**3 - 55*h**3 = 0.
-4, -2, -1, 0
Let a(o) be the third derivative of 0*o + 0 + 3*o**2 - 1/30*o**3 - 1/300*o**5 + 1/60*o**4. Factor a(b).
-(b - 1)**2/5
Let i(x) be the first derivative of x**6/3 - 6*x**5/5 - 2*x**4 - 242. Factor i(g).
2*g**3*(g - 4)*(g + 1)
Let g = -105 + 107. Let n(h) be the second derivative of 0*h**2 - 3/20*h**5 - 1/2*h**4 + 1/14*h**7 + 1/5*h**6 + g*h + 0 + 0*h**3. Determine c so that n(c) = 0.
-2, -1, 0, 1
Let i = 683/102 - 69/34. Determine y, given that -4/3 - 10/3*y**4 - 22/3*y**3 + 14/3*y + 8/3*y**5 + i*y**2 = 0.
-1, 1/4, 1, 2
Let l(v) be the second derivative of -5*v**4/24 + 5*v**3/12 + 5*v**2/2 + 114*v. Find r, given that l(r) = 0.
-1, 2
Let b(o) = 4*o**3 - 182*o**2 + 5402*o - 54000. Let l(c) = -9*c**3 + 365*c**2 - 10805*c + 108000. Let d(s) = 10*b(s) + 4*l(s). Let d(z) = 0. Calculate z.
30
Let z(a) = 6*a**4 - 48*a**3 - 11*a**2 - 11*a - 11. Let v(x) = -x**4 + 9*x**3 + 2*x**2 + 2*x + 2. Let m(j) = -33*v(j) - 6*z(j). Factor m(n).
-3*n**3*(n + 3)
Let a(j) be the second derivative of -4/3*j**4 + 0*j**2 - 22*j + 0 - 1/3*j**3. Determine v, given that a(v) = 0.
-1/8, 0
Let r(k) be the second derivative of -k**6/105 + 16*k**5/35 - 191*k**4/21 + 96*k**3 - 567*k**2 + 206*k. Factor r(l).
-2*(l - 9)**2*(l - 7)**2/7
Let n(s) = -127*s - 5967. Let l be n(-47). Let 1/2*r**3 + 3/2*r + 3/2*r**l + 1/2 = 0. Calculate r.
-1
Let y(m) be the first derivative of -m**4/24 - 10*m**3/9 + m**2/3 + 40*m/3 + 975. Factor y(s).
-(s - 2)*(s + 2)*(s + 20)/6
Let s(b) be the third derivative of -b**8/1680 - b**7/420 + b**5/60 + b**4/24 - 25*b**3/6 + 6*b**2. Let r(a) be the first derivative of s(a). Factor r(n).
-(n - 1)*(n + 1)**3
Let h be ((-2)/(-8))/(36/48). Find t, given that 4/3 - h*t**2 + t = 0.
-1, 4
Let g(f) = f**2 - 2*f - 2. Let h be g(0). Let d be (h - -5*1)*(-28)/(-21). Factor 0 + 2*a**3 - 2/3*a**d - 2*a**2 + 2/3*a.
-2*a*(a - 1)**3/3
Let b = 48 - 52. Let z be 2/6 + 0 - b/(-36). Let -2/9*v**2 + 0 + z*v = 0. Calculate v.
0, 1
Let z = 18 - -37. Let q = z - 11. Factor -q - 2*w**2 + 18*w + 3*w**2 - 4*w**2 + 17.
-3*(w - 3)**2
Let i(a) = a**2 - 3*a - 15. Let u be i(6). Let p(h) be the first derivative of -h**2 - 1/6*h**u - 1 - 2*h. Factor p(c).
-(c + 2)**2/2
Let f(z) be the first derivative of -z**5/18 + z**4/27 + z**3/9 - 18*z - 16. Let u(j) be the first derivative of f(j). Factor u(y).
-2*y*(y - 1)*(5*y + 3)/9
Let u(b) be the first derivative of -3/4*b**4 + 0*b + 0*b**2 - b**3 + 20. Suppose u(p) = 0. Calculate p.
-1, 0
Let o(y) = -131*y**4 - 406*y**3 - 351*y**2 - 90*y - 6. Let q(s) = -130*s**4 - 405*s**3 - 350*s**2 - 90*s - 5. Let i(h) = 5*o(h) - 6*q(h). Solve i(b) = 0 for b.
-2, -3/5, 0
Let q(x) be the first derivative of 7*x**6/270 - x**5/9 + x**4/6 + 32*x**3/3 - 17. Let p(v) be the third derivative of q(v). Factor p(i).
4*(i - 1)*(7*i - 3)/3
Let t(q) be the second derivative of q**5/20 + 2*q**4/3 - 5*q**3/3 - 9*q**2/2 + 7*q. Let m be t(-9). Factor -2 - n**2 + 4 + m - 6 + 4*n.
-(n - 2)**2
Let p(g) be the third derivative of g**5/180 + 7*g**4/36 - 6*g**2 - 9. Factor p(o).
o*(o + 14)/3
Suppose 0 = 3*c + 5*m - 6*m - 2, 4*c - 5*m - 10 = 0. Let g be (-30)/(-18) + (-1 - c). Factor 1/3*u**2 + 1/3*u - g.
(u - 1)*(u + 2)/3
Let -168/5*u**2 + 3872/5 - 4/5*u**3 - 1584/5*u = 0. Calculate u.
-22, 2
Let y(h) be the second derivative of h**10/105840 - h**9/26460 + h**8/23520 - 3*h**4/4 - 28*h. Let z(c) be the third derivative of y(c). Factor z(v).
2*v**3*(v - 1)**2/7
Let x be (-2)/((-7)/(28/(-8))). Let g = 2 - x. Factor -2*i**4 - i**3 + i**5 - 3*i**5 - i**g + 2*i**2 + 4*i**3.
-2*i**2*(i - 1)*(i + 1)**2
Suppose 0 = -7*j - 125 + 174. Let n(l) be the second derivative of 0 + 0*l**3 + j*l - 1/10*l**5 - 1/6*l**4 + 0*l**2. Factor n(r).
-2*r**2*(r + 1)
Let d(o) = 6*o**3 + 3*o**2 - 15*o + 15. Let r(k) = -3*k**3 - k**2 + 7*k - 7. Let u(j) = -4*d(j) - 9*r(j). Let u(s) = 0. Calculate s.
-1, 1
Let x(r) = -3*r + 43. Let z be x(-19). Let -9 - 11 + 0*c**3 + z*c - 105*c**2 - 10*c**3 + 35*c**4 = 0. What is c?
-2, 2/7, 1
Suppose 13*o - 9*o + 12 = 0. Let w = 3 + o. Factor 0 + 0*p**2 + w*p + 2/5*p**3.
2*p**3/5
Let x = 54 + -49. Determine u, given that 5*u**x + 64*u**2 + 5 + 25*u + 25*u**4 - 30*u**2 + 16*u**2 + 50*u**3 = 0.
-1
Let k(w) = -2*w**2 + 26*w + 4. Let q(d) = 2*d**2 - 32*d - 5. Let f(o) = -5*k(o) - 4*q(o). Let f(y) = 0. Calculate y.
0, 1
Suppose -2*k + 0*k - 5*b - 562 = 0, -5*k - 1475 = -5*b. Let g = k + 1461/5. Find n such that -2/5*n**3 - g*n**2 - 4/5*n + 0 = 0.
-2, -1, 0
Let h(z) = 2*z + 59. Let m be h(-28). Factor m*d**4 - 2 + 2 + 9*d**2 - 3*d - 9*d**3.
3*d*(d - 1)**3
Factor -52/9 + 2/9*j**3 - 32/9*j**2 + 82/9*j.
2*(j - 13)*(j - 2)*(j - 1)/9
Suppose 522*f = 517*f + 10. Let a(x) be the first derivative of -x - 7/20*x**5 - 1/24*x**6 - 19/16*x**4 - 3 - 25/12*x**3 - 2*x**f. Factor a(s).
-(s + 1)**3*(s + 2)**2/4
Let y(i) be the second derivative of 5*i**4/12 + 154*i. Factor y(p).
5*p**2
Let w(j) be the second derivative of -j**5/200 - 13*j**4/60 + 14*j**3/15 + 3*j - 127. What is l in w(l) = 0?
-28, 0, 2
Let m(i) be the first derivative of -i**3/7 + 39*i**2/14 + 90*i/7 - 76. Let m(h) = 0. Calculate h.
-2, 15
Let t(f) be the third derivative of f**5/12 - 85*f**4/24 + 25*f**3 + 452*f**2. Factor t(a).
5*(a - 15)*(a - 2)
Let x(u) be the third derivative of u**8/1176 - u**7/245 -