d derivative of 231*x**2 + 2/15*x**3 + 1/600*x**6 + 0 - 1/75*x**5 - 1/120*x**4 + 0*x. Find v such that t(v) = 0.
-1, 1, 4
Suppose 3*i - v = 37, 2*i + v - 41 = -13. Let h be (1 - -3)*(-1)/(-2). Factor 9 - 4*u**h + 7*u + 13*u + i + 2.
-4*(u - 6)*(u + 1)
Let p = -68567 - -68570. Factor 1/7*n**5 + 2/7*n**2 + 1/7*n - 2/7*n**p - 1/7 - 1/7*n**4.
(n - 1)**3*(n + 1)**2/7
Let b be 10/2 - -9*(-22)/99. Let z(d) be the third derivative of 1/210*d**6 + 4/105*d**5 + 0*d**b + 2/21*d**4 + 0*d + 0 + 14*d**2. Determine h so that z(h) = 0.
-2, 0
Let d(g) be the third derivative of -g**5/60 + 355*g**4/6 - 252050*g**3/3 + 146*g**2. Factor d(n).
-(n - 710)**2
Suppose 0 = 4*c + 14 - 2, 0 = -d + 2*c - 233. Let x = -237 - d. Let -1/4*s**x + 1/2*s - 1/4 = 0. Calculate s.
1
Suppose -1386 = 10*x - 13*x. Let h = x + 1896. Factor 5832*b**3 + 201*b**2 + 2187*b**4 - 668*b**2 + 48 + 1349*b**2 + h*b**2 + 672*b.
3*(b + 2)*(9*b + 2)**3
Suppose -2*l = 5*c - 29, -4*l = l + 15. Determine w, given that -3*w**5 - 19*w**3 + 25*w**2 - 289*w + 4 + 273*w + 2*w**5 + c*w**4 = 0.
1, 2
Let x(i) be the first derivative of i**5/8 - 5*i**3/4 - 5*i**2/2 + 37*i + 47. Let b(r) be the first derivative of x(r). Factor b(z).
5*(z - 2)*(z + 1)**2/2
Let w = -567 - -574. Suppose 3*m + 5*k - 22 = 0, -3*m + w*k + 16 = 9*k. Factor -8/3*r**4 - 8/3*r**2 - m*r**3 - 2/3*r + 0 - 2/3*r**5.
-2*r*(r + 1)**4/3
Let o(w) = 8*w**5 - 152*w**4 + 486*w**3 - 452*w**2 + 146*w. Let q(j) = j**5 + j**4 + 4*j**3 + j**2 - j. Let z(s) = -o(s) + 6*q(s). Factor z(p).
-2*p*(p - 76)*(p - 1)**3
Let z(s) be the second derivative of -s**4/16 - s**3/2 + 105*s**2/2 + 6*s - 217. Solve z(g) = 0.
-14, 10
Let q = -4241 - -29689/7. Suppose 0 - q*b**3 - 200/7*b - 40/7*b**2 = 0. What is b?
-10, 0
Let j(b) be the second derivative of -b**5/20 + 5*b**4/12 - b**3/2 + 3*b**2 - 14*b. Let w be j(4). Suppose -5*l**2 + 9*l + 6 + w*l**2 - 2*l**2 = 0. Calculate l.
-2, -1
Let n(i) be the first derivative of 135 - 7/3*i**3 + 4*i**2 + 0*i - 1/4*i**4. Factor n(h).
-h*(h - 1)*(h + 8)
Let k(a) be the first derivative of a**5/35 - 11*a**4/14 - 8*a**3/7 + 11*a**2/7 + 23*a/7 - 4385. Factor k(s).
(s - 23)*(s - 1)*(s + 1)**2/7
Let y(n) be the third derivative of -1/60*n**5 + n**2 - 1/16*n**4 + 0*n**3 + 0 + 56*n. Factor y(o).
-o*(2*o + 3)/2
Let c(o) be the third derivative of o**6/40 + 21*o**5/20 - 9*o**4/8 - 189*o**3/2 + 2*o**2 - 1483. Factor c(d).
3*(d - 3)*(d + 3)*(d + 21)
Factor -1/11*t**3 - 6/11*t**2 + 36/11 + 31/11*t.
-(t - 4)*(t + 1)*(t + 9)/11
Let j = 728 - 734. Let n(g) = -6*g**3 + 4*g**2 - 32*g - 53. Let x(c) = -8*c**3 + 4*c**2 - 32*c - 54. Let u(f) = j*n(f) + 5*x(f). Factor u(m).
-4*(m - 3)*(m + 2)**2
Let i = 20656 + -20656. Determine m, given that 0 - 8/15*m**4 + i*m**3 - 2/15*m**5 + 0*m**2 + 0*m = 0.
-4, 0
Let g(i) be the third derivative of -i**7/140 - 3*i**6/10 + 13*i**5/10 - 37*i**2 - 10*i - 1. Factor g(o).
-3*o**2*(o - 2)*(o + 26)/2
Let s(g) = 3*g + 29. Suppose 7 = -z - 2. Let y be s(z). Factor -32*v**2 + 6*v**4 - 18*v**3 - y*v**3 - 10*v**4 - 16*v.
-4*v*(v + 1)*(v + 2)**2
Let v = -1054146 - -1054148. Solve 246/7*b + 159/7*b**v + 9/7*b**3 + 96/7 = 0 for b.
-16, -1, -2/3
Let z(v) = -3*v**2 - 5*v**2 - 4*v**2 + 4*v**2 + 35*v - 10. Let j be z(4). Factor -8/7*c + 0 - 2/7*c**j.
-2*c*(c + 4)/7
Factor 254*v**2 + 18317 - 78*v**2 - 18493 - 4*v**3 + 4*v.
-4*(v - 44)*(v - 1)*(v + 1)
Let l(p) = -24*p - 16. Let r be l(-10). Let c be 8*4/r - (-5)/14. Factor c + 3/4*x + 1/4*x**2.
(x + 1)*(x + 2)/4
Suppose 4*p - 27 = -7*s + 2*s, 3*p - 12 = -s. Let h(n) = -n + 2. Let i be h(-1). Factor -27*o + 31*o + 4*o**2 - 2*o**i - 2*o**s - 4*o**4.
-4*o*(o - 1)*(o + 1)**2
Let q(d) = 691*d - 73933. Let g be q(107). Factor -11*u**2 - 12*u - 9/2 - 4*u**3 - 1/2*u**g.
-(u + 1)**2*(u + 3)**2/2
Let p be 1340/4422*3/5. Factor p*b + 2/11*b**2 - 4/11.
2*(b - 1)*(b + 2)/11
Let j(r) be the second derivative of r**7/189 + 4*r**6/45 + 22*r**5/45 + 8*r**4/9 + 821*r + 3. Suppose j(i) = 0. Calculate i.
-6, -4, -2, 0
Let a(o) = 500*o**3 - 2730*o**2 + 2060*o + 5295. Let v(x) = -751*x**3 + 4095*x**2 - 3089*x - 7943. Let d(l) = -8*a(l) - 5*v(l). What is k in d(k) = 0?
-1, 23/7
Factor 0 - z + 0*z**3 - 1/2*z**4 + 3/2*z**2.
-z*(z - 1)**2*(z + 2)/2
Let c be (4/(-162))/((-904)/(-72) - 13). Let u(v) be the third derivative of 1/180*v**5 - c*v**3 + 4*v**2 + 0*v + 0*v**4 + 0. Factor u(w).
(w - 1)*(w + 1)/3
Factor 41 + 132*a - 205 + a**2 + 31.
(a - 1)*(a + 133)
Let z(h) = -h**3 - 25*h**2 + 12*h + 6. Let x(o) = 3*o**3 + 73*o**2 - 34*o - 17. Let l(m) = 6*x(m) + 17*z(m). Factor l(b).
b**2*(b + 13)
Let z be 264/693*(-23)/((-552)/198). Let z + 1/7*b**2 + 23/7*b = 0. Calculate b.
-22, -1
Let a(q) be the first derivative of 28/9*q**3 - 2*q**2 + 4/15*q**5 + 0*q + 27 - 5/3*q**4. Factor a(c).
4*c*(c - 3)*(c - 1)**2/3
Let z(u) be the second derivative of u**7/70 - 3*u**6/50 - 21*u**5/50 + 9*u**4/5 + 4*u**3 - 144*u**2/5 + 2130*u. Find q such that z(q) = 0.
-3, -2, 2, 4
Find i, given that 50/21*i**3 - 130/7*i**2 - 1408/21 - 544/7*i = 0.
-8/5, 11
Let 63*m - 605/2 - 1/2*m**2 = 0. Calculate m.
5, 121
Let r be (-2)/1315*(-2)/((-28)/70). Let z = 1568/1315 - r. Solve -2/5*w**3 + z*w**2 + 1/5*w**5 + 1/5*w - 3/5 - 3/5*w**4 = 0 for w.
-1, 1, 3
Let m(f) be the first derivative of -21/8*f**4 - 1/2*f**2 + 0*f + 11/6*f**3 - 5/12*f**6 + 17/10*f**5 + 156. Factor m(n).
-n*(n - 1)**3*(5*n - 2)/2
Let u be -6*(4 + 52/(-12)) - 1. Let d(z) = 5*z**3 - 40*z**2 - 95*z - 55. Let o(a) = -1. Let t(q) = u*d(q) - 5*o(q). Factor t(i).
5*(i - 10)*(i + 1)**2
Let 75/2*x + 45/2*x**2 + 35/2 + 5/2*x**3 = 0. Calculate x.
-7, -1
Let k(z) be the third derivative of z**5/120 + 131*z**4/16 - 197*z**3/6 - 1069*z**2. Factor k(s).
(s - 1)*(s + 394)/2
Suppose -3*s - 4*n + 3 = -3, -8 = -4*s - n. Factor 94*x**s + 999*x + 2*x**4 + 36*x**3 - 453*x - 486*x.
2*x*(x + 1)*(x + 2)*(x + 15)
Let z(x) be the second derivative of x**7/14 + 517*x**6/120 - 519*x**5/40 - 133*x**4/48 + 15*x**3/4 - 2790*x. What is b in z(b) = 0?
-45, -1/3, 0, 1/4, 2
Let s be (72192/329)/64*(-1)/(-4). Let 9/7*h**3 + 0 + s*h**2 + 0*h = 0. What is h?
-2/3, 0
Let x(t) be the first derivative of 4*t**3/3 - 2*t**2 - 80*t - 1985. Suppose x(c) = 0. Calculate c.
-4, 5
Let u be 3/4*(111/9 + -7). Suppose 1/4*c**5 + 1/2*c**3 - 3/4*c**u + 1/4 + 1/2*c**2 - 3/4*c = 0. What is c?
-1, 1
Factor 324/19 + 306/19*i - 2/19*i**3 - 20/19*i**2.
-2*(i - 9)*(i + 1)*(i + 18)/19
Let i(h) be the second derivative of -h**6/6 + 225*h**5/4 + 1135*h**4/4 + 3415*h**3/6 + 570*h**2 - 1284*h - 1. Determine x so that i(x) = 0.
-1, 228
Let j(q) = -12*q**5 - 96*q**4 - 140*q**3 + 424*q**2 + 1152*q - 3456. Let z(b) = -b**5 - 5*b**4 - 2*b**2. Let g(y) = j(y) - 16*z(y). Find v, given that g(v) = 0.
-4, 3, 6
Let t be (0 - 1514)*(-9 + 1). Suppose -22*q + t = -18*q. Factor -q*o + 3028*o + 4*o**2 + o**3.
o**2*(o + 4)
Suppose -55 = -7*g - 13. Find d such that 255*d**4 + 249*d**4 - 507*d**4 + g*d**2 - 3 = 0.
-1, 1
Let x(c) be the first derivative of -2/3*c**3 - 7/6*c**4 + 0*c**2 - 19 + 0*c - 1/9*c**6 - 2/3*c**5. Factor x(r).
-2*r**2*(r + 1)**2*(r + 3)/3
Let f(m) = 2*m**2 + 10*m + 10. Let u(k) = 2*k**2 + 10*k + 8. Let t(g) = g**3 - 4*g**2 + 10*g - 35. Let i be t(4). Let o(b) = i*u(b) - 4*f(b). Factor o(w).
2*w*(w + 5)
Let q(f) be the third derivative of f**6/120 + 317*f**5/60 + 3080*f**4/3 - 12800*f**3 + 6*f**2 + 30*f. Factor q(i).
(i - 3)*(i + 160)**2
Let d be -12 + 16 - (4 - 1)*1. Let p = 5 - d. What is z in 58*z**p - 6*z**3 + 0 - 55*z**4 + 0 = 0?
0, 2
Let n be -501 + 501 + (-18)/(-16) + 3/8. Factor 3/4 + n*p**3 - 3/2*p + 0*p**2 - 3/4*p**4.
-3*(p - 1)**3*(p + 1)/4
Let b = -61717/3 - -20653. What is t in 44*t + 6 + b*t**2 = 0?
-3/11
Let p(m) be the second derivative of 0 + 1/30*m**6 - 1/10*m**5 + 0*m**2 - 5/12*m**4 - 238*m + m**3. Determine l, given that p(l) = 0.
-2, 0, 1, 3
Solve -695490 - 6*j**3 + 695490 - 3*j**4 = 0.
-2, 0
Let f(o) be the first derivative of -2*o**5/5 + 10*o**4 - 212*o**3/3 + 204*o**2 - 234*o - 10727. Suppose f(j) = 0. What is j?
1, 3, 13
Factor 8/7*h**2 + 222/7 - 890/7*h.
2*(h - 111)*(4*h - 1)/7
Let l(c) be the third derivative of c**6/96 - 55*c**5/48 + 105*c**4/2 - 2565*c**3/2 + 10290*c**2. Factor l(z).
5*(z - 19)*(z - 18)**2/4
Let u(h) be the second derivative of h**8/6720 + h**7/1680 - h**6/480 - 10*h**3/3 + 27*h. Let r(o) 