e third derivative of f**6/900 + f**5/300 + 8*f**3/3 + 10*f**2. Let i(q) be the first derivative of r(q). Let i(s) = 0. Calculate s.
-1, 0
Let z(x) = 21*x**3 - 141*x**2 - 151*x - 11. Let g(n) = 4*n**3 - 28*n**2 - 30*n - 2. Let t(a) = 11*g(a) - 2*z(a). Let t(o) = 0. What is o?
-1, 0, 14
Let -15*o**3 - 3*o**4 + 89*o**2 + 15*o + 12 + 76*o**2 - 174*o**2 = 0. What is o?
-4, -1, 1
Let t(r) be the first derivative of r**4/6 + 40*r**3/9 + 13*r**2/3 - 676*r + 368. Factor t(v).
2*(v - 6)*(v + 13)**2/3
Let n = -21 - -26. Let t(l) = 2*l**2 - 7*l - 2. Let a be t(n). What is z in -6*z**2 - 18*z + a*z**2 - 15*z**2 - 4 = 0?
-2, -1/4
Let -503*s + 45*s**2 - 3*s**3 + 744*s + 9 + 123 - 385*s = 0. What is s?
2, 11
Suppose -4*y**4 + 326 + 2*y**3 + 12*y - 9*y**3 - 9*y**3 + 116*y**2 + 4*y**3 - 438 = 0. What is y?
-7, -1, 1, 4
Let p be (1 - 4)/(-3 - -2). Factor -8*i**4 + 7*i**4 + i**2 - 3*i**5 + i**p + 2*i**5.
-i**2*(i - 1)*(i + 1)**2
Let s(c) be the third derivative of c**10/529200 + c**9/70560 - c**7/4410 - 7*c**5/15 - 9*c**2. Let i(n) be the third derivative of s(n). Factor i(f).
2*f*(f - 1)*(f + 2)**2/7
Suppose 18 = -13*s + 11*s. Let x(p) = -p**2 - 7*p + 20. Let o be x(s). Solve -4/3 - 2*v - 2/3*v**o = 0.
-2, -1
Factor 84*y**2 + 31*y**4 - 117 + 16*y + 22 - 60*y**4 - 17 + 25*y**4 + 16*y**3.
-4*(y - 7)*(y - 1)*(y + 2)**2
Let t = 105 - 95. Let i be 35/(-56)*(-2)/t. Factor -5/8*x + 3/8*x**2 - i*x**4 + 1/8*x**3 + 1/4.
-(x - 1)**3*(x + 2)/8
Let n = -89 + 92. Solve 4*j**4 - 79*j**2 + 8*j**n - 4*j**3 + 71*j**2 + 0*j**4 = 0 for j.
-2, 0, 1
Suppose -3/5*o**3 + 12/5*o**2 + 72/5 + 87/5*o = 0. Calculate o.
-3, -1, 8
Solve 4/3*r**3 + r**2 + 0*r + 1/3*r**4 + 0 = 0 for r.
-3, -1, 0
Suppose -249*u = -254*u + 150. Suppose -15*s = -0*s - u. Factor 0 + 1/6*g**5 + 1/2*g**3 - 1/6*g**s - 1/2*g**4 + 0*g.
g**2*(g - 1)**3/6
Let j = 45 + -1075/24. Let i = 97/120 - j. What is t in -i*t**4 + 1/5*t**5 + 2/5*t**3 + 1/5 - 3/5*t + 2/5*t**2 = 0?
-1, 1
Let w(m) be the second derivative of m**5/5 + 56*m**4/3 + 558*m**3 + 2916*m**2 - 630*m. Determine y so that w(y) = 0.
-27, -2
Determine h so that 32/3 + 16/3*h + 2/3*h**2 = 0.
-4
Let n(j) be the second derivative of j**5/90 - 2*j**4/9 + 16*j**3/9 + 6*j**2 + 19*j. Let c(i) be the first derivative of n(i). Let c(f) = 0. What is f?
4
Let a(i) be the third derivative of i**5/450 + 7*i**4/45 - i**2 - 13*i. Factor a(t).
2*t*(t + 28)/15
Let g(a) = 5*a. Let w(r) = 5*r**2 + 210*r + 180. Let o(k) = -5*g(k) + w(k). Solve o(n) = 0.
-36, -1
Let h(j) = j + 1. Suppose 3*k + 50 - 53 = 0. Let s(p) = -5*p**2 + 5*p + 10. Let f(i) = k*s(i) - 5*h(i). Determine a so that f(a) = 0.
-1, 1
Factor -9*l + 18*l + 32*l + 5*l**2 + 29*l + 245.
5*(l + 7)**2
Let n = -57691/143 - -5247/13. Let 4/11*f**2 + 4/11 + 10/11*f - n*f**5 - 8/11*f**3 - 8/11*f**4 = 0. What is f?
-2, -1, 1
Let p(c) = 7*c**2 - 3. Let t be p(-2). Suppose -t + 61 = 2*q. Factor 74*k**3 + q*k**2 - 47*k**3 + 3*k + 11*k**4 + k**4.
3*k*(k + 1)**2*(4*k + 1)
Let w be (-1)/6*(-218)/5 - 6. Let i(k) be the second derivative of 4/9*k**4 - w*k**5 - 4/9*k**6 - k + 0 + 8/9*k**3 + 0*k**2. Solve i(p) = 0.
-2, -2/5, 0, 1/2
Let g = -6495 - -6498. Find m, given that 0 + 24/7*m - 180/7*m**2 - 21*m**4 + 54*m**g = 0.
0, 2/7, 2
Let k(z) = z**3 + 3*z**2 - 3*z + 9. Let h be k(-4). Let y = -5 + h. Let 0 - 2/5*p**2 + y*p - 1/5*p**3 = 0. Calculate p.
-2, 0
Let n(o) be the third derivative of o**6/120 - o**5/10 + o**4/2 - 7*o**3/6 + 5*o**2. Let s(b) be the first derivative of n(b). Determine g so that s(g) = 0.
2
Let a(s) be the third derivative of 1/21*s**3 - 10*s**2 + 0*s + 0 + 1/1470*s**7 - 1/140*s**5 + 1/840*s**6 - 1/168*s**4. Factor a(x).
(x - 1)**2*(x + 1)*(x + 2)/7
Let u = -1042 + 7310/7. Factor -4/7*i**3 - u*i**2 - 8/7 - 20/7*i.
-4*(i + 1)**2*(i + 2)/7
Suppose 2*z**3 + z**4 + 0*z**2 - 4*z + 0*z**4 + z**4 - 2*z**2 + 2*z = 0. What is z?
-1, 0, 1
Let n(c) = 6*c**4 + 12*c**3 - 38*c**2 - 90*c - 48. Let k(w) = 13*w**4 + 24*w**3 - 77*w**2 - 179*w - 96. Let l(f) = -2*k(f) + 5*n(f). Solve l(z) = 0.
-4, -1, 3
Let c(o) = o**2 + 4*o - 4. Let l be c(-6). Let u be 5 + ((-6)/(-8))/(11/(-44)). Find x, given that u*x**2 - 2*x + 8*x - l*x**3 - 6*x = 0.
0, 1/4
Let a(c) = c**2 + 11*c + 7. Let o = 3 - 14. Let z be a(o). Solve 0*j**2 + 2*j**2 - 3*j + 2*j**5 - 6*j**3 - 2*j**4 + z*j + 0*j**3 = 0.
-1, 0, 1, 2
Let q(v) be the second derivative of -v**7/10080 + v**6/1440 - v**5/480 + v**4/6 - 10*v. Let b(k) be the third derivative of q(k). Factor b(d).
-(d - 1)**2/4
Let k be 3700/3330*(-3)/(-5). Suppose 16/3*r + k - 6*r**2 = 0. What is r?
-1/9, 1
Let l(g) be the second derivative of 3*g**5/20 - 6*g**4 + 23*g**3/2 + 99*g. Factor l(h).
3*h*(h - 23)*(h - 1)
Let q(o) = 4*o**2 + 10*o + 6. Let v(i) = i**2 - 6*i + 16. Let g be v(7). Let a = g - 22. Let d(y) = y**2 + y. Let u(w) = a*q(w) - 6*d(w). Factor u(l).
-2*(l - 3)*(l + 1)
Let a(b) = 20*b**2 + 70*b + 15. Let m(l) = -8*l + 70 - 37 - 3*l**2 - 35 - 2*l. Let x(j) = 2*a(j) + 15*m(j). Factor x(k).
-5*k*(k + 2)
Let o be -1*3*-2 + (-11 - -7). Suppose -3*d + o*d + 5 = -5*n, -4*n - 4 = -d. Determine u, given that -8/5*u + d + 4/5*u**2 = 0.
0, 2
Let v = 26746/4683 - -2/669. Let -4/7*u**2 - 100/7 - v*u = 0. What is u?
-5
Let k(a) be the third derivative of a**8/1176 + a**7/105 + 3*a**6/140 - 9*a**5/70 - 9*a**4/14 - 117*a**2. Determine y so that k(y) = 0.
-3, 0, 2
Factor 507 + 1053*r + 2343/4*r**2 + 3/4*r**4 + 81/2*r**3.
3*(r + 1)**2*(r + 26)**2/4
Let u(o) be the second derivative of 7*o**4/8 - 67*o**3 + 57*o**2 - 2*o - 506. Factor u(x).
3*(x - 38)*(7*x - 2)/2
Let v be (-2 + -1)*25/125*(-6 - -1). Determine z, given that 1/2*z**v - 1/3 - 1/2*z + 1/6*z**4 + 1/6*z**2 = 0.
-2, -1, 1
Let n be 1/(-3)*-9 + 0. Suppose 0 = b - n + 1. Factor -1/5*s**3 + s**b - 9/5 - 3/5*s.
-(s - 3)**2*(s + 1)/5
Let h(j) be the first derivative of j**4/6 + 2*j**3/9 + 25. Find t such that h(t) = 0.
-1, 0
Let h(b) be the third derivative of -b**6/240 - 13*b**5/60 - 25*b**4/48 + 144*b**2. Factor h(o).
-o*(o + 1)*(o + 25)/2
Suppose -31*u + 25 + 57 = -11. Factor 3*x**4 + 3/4*x**5 - 15/4*x - 3/2 - 3/2*x**2 + u*x**3.
3*(x - 1)*(x + 1)**3*(x + 2)/4
Let r(n) = 100*n**2 - 205*n + 40. Let m = 25 + -10. Let t(j) = 25*j**2 - 51*j + 10. Let k(g) = m*t(g) - 4*r(g). Solve k(u) = 0.
1/5, 2
Let d = 8/169 - -314/507. Factor -2/3*f**4 + 2/3*f**3 + d*f**2 + 0 - 2/3*f.
-2*f*(f - 1)**2*(f + 1)/3
Solve -a**4 + 667*a**2 - 12*a**3 - 5*a - 2*a**4 - 1367*a**2 + 685*a**2 - a = 0 for a.
-2, -1, 0
Let x(v) = -20*v + 102. Let u be x(5). Let l(q) be the second derivative of -1/18*q**4 + 7*q - 3*q**u + 2/3*q**3 + 0. Determine c, given that l(c) = 0.
3
Let g(d) be the first derivative of -7*d**4/10 + 2*d**3/3 + 44*d**2/5 + 24*d/5 - 22. Factor g(q).
-2*(q - 3)*(q + 2)*(7*q + 2)/5
Let h(j) = 4*j**4 - 2*j**3 + 2. Let b = 5 - 1. Let q(l) = 9*l**4 - 5*l**3 + l**2 + 5. Let p(o) = b*q(o) - 10*h(o). Suppose p(x) = 0. What is x?
-1, 0, 1
Let d(t) be the second derivative of t**6/120 - 3*t**5/40 + t**4/4 + t**3/3 - t. Let w(x) be the second derivative of d(x). Let w(c) = 0. Calculate c.
1, 2
Let v = -379 + 379. Let b(u) be the second derivative of 1/2*u**3 - 1/3*u**4 - 5*u + 1/20*u**5 + v*u**2 + 0. Determine h so that b(h) = 0.
0, 1, 3
Let t(r) = 6*r**3 - 24*r**2 + 7*r + 21. Let j(h) = h**3 - h**2 + h + 3. Let z(y) = 21*j(y) - 3*t(y). Find a such that z(a) = 0.
-17, 0
Let t be 3/(-4)*1070/(-321). Find u, given that 5/2*u + t*u**2 + 0 = 0.
-1, 0
Let d(u) be the third derivative of 1/10*u**5 + 0 + 4/9*u**3 + 5/9*u**4 + 9*u**2 - 2*u. Find f, given that d(f) = 0.
-2, -2/9
Factor -101631*c + 633 - 100*c**2 - 41365 - 1232*c**2 - 4*c**3 - 69492 - 9921*c.
-4*(c + 1)*(c + 166)**2
Let n(p) be the third derivative of p**5 + 7*p**4/3 - 2*p**3/3 - 227*p**2. Determine o so that n(o) = 0.
-1, 1/15
Factor 30*v - 5*v**2 - 40 - 40 + 80.
-5*v*(v - 6)
Let n = -118188/13 + 9098. Suppose 0 = 2*a - 3*x - 21, 0 = 5*x + 15. Solve 118/13*d**3 - 4/13 - n*d**2 + 30/13*d - a*d**4 + 20/13*d**5 = 0.
2/5, 1/2, 1
Solve -11/4*m**4 + 33/4*m**2 + 1/2*m**3 + 1 - 7*m = 0 for m.
-2, 2/11, 1
Let q = 102 - 98. Solve q*k**4 - 2 - 6*k**3 - 21*k**2 - 11*k - 2*k**4 - 7*k**4 - 11*k**3 = 0.
-1, -2/5
Let j(k) = k**4 + 6*k**3 + 2*k**2 - 3*k. Let x(g) = 2*g**4 + 12*g**3 + 3*g**2 - 7*g. Let z(y) = -5*j(y) + 3*x(y). Factor z(o).
o*(o - 1)*(o + 