13*k**3/3 + 3543*k**2. Determine n so that r(n) = 0.
2, 39
Suppose 18*n - 3878 = 11*n. Solve -r**3 + 0*r**5 + n*r**2 + 7*r**4 + 5*r**4 - 4*r - 566*r**2 + 5*r**5 = 0.
-2, -1, -2/5, 0, 1
Factor -270/7 - 2/7*z**3 + 314/7*z - 6*z**2.
-2*(z - 5)*(z - 1)*(z + 27)/7
Let l = 27125 - 27125. Let n(w) be the second derivative of 3/70*w**5 + 0*w**2 + 20*w + 0*w**3 - 1/28*w**4 + l. Let n(q) = 0. What is q?
0, 1/2
Let q(n) = -4*n**4 - 89*n**3 - 479*n**2 - 1324*n - 813. Let d(i) = i**4 + 22*i**3 + 120*i**2 + 329*i + 203. Let o(l) = -13*d(l) - 3*q(l). Factor o(x).
-(x + 1)*(x + 5)**2*(x + 8)
Suppose -1871*v = -2*j - 1873*v - 12, 2*v = 3*j - 22. Factor -2*n**j - n + n**3 + 3/2 + 1/2*n**4.
(n - 1)**2*(n + 1)*(n + 3)/2
Let g(b) be the third derivative of -b**6/600 - 92*b**5/75 + 37*b**4/6 + 1779*b**2 + 4. Suppose g(r) = 0. What is r?
-370, 0, 2
Factor 516/11 - 2/11*b**2 - 514/11*b.
-2*(b - 1)*(b + 258)/11
Let k = 41050 - 41048. Solve 5/3*w**3 + 0 + 0*w + 1/3*w**k = 0.
-1/5, 0
Let j(l) be the second derivative of l**5/60 - 311*l**4/18 + 48670*l**3/9 - 96100*l**2/3 + 2*l + 745. Solve j(y) = 0.
2, 310
Let f(d) be the first derivative of 7/18*d**2 - 1/27*d**3 + 1/45*d**5 + 233 - 7/36*d**4 + 0*d. Factor f(h).
h*(h - 7)*(h - 1)*(h + 1)/9
Let u(q) be the third derivative of 1/2016*q**8 - 2*q**2 + 0*q + 1/126*q**7 + 33 + 3/20*q**5 + 0*q**3 + 3/16*q**4 + 1/20*q**6. Factor u(n).
n*(n + 1)*(n + 3)**3/6
Let s(j) be the second derivative of -j**4/72 - 1175*j**3/36 + 98*j**2 + 5*j - 559. Factor s(l).
-(l - 1)*(l + 1176)/6
Find v, given that 813*v - 978*v**2 - 30*v**2 - 65*v**4 + 141*v**4 - 204 - 70*v**4 + 393*v**3 = 0.
-68, 1/2, 1
Let l(f) be the third derivative of f**6/24 - 41*f**5/12 - 475*f**4/6 - 490*f**3 - 273*f**2 - 6. Factor l(k).
5*(k - 49)*(k + 2)*(k + 6)
Let n(p) = -p**4 + 2*p**3 + p**2 - 1. Let i(k) = 5*k**5 - 15*k**4 - 20*k**3 - 10*k**2 + 10. Let b(x) = -i(x) - 10*n(x). Factor b(a).
-5*a**4*(a - 5)
Let b(j) = j**3 - 17*j**2 + 2. Let z be b(17). Factor -20*s**3 + 0 - 60*s**z + 0 - 162*s**2 - 55*s - 3*s**2.
-5*s*(s + 11)*(4*s + 1)
Let v(h) = 3*h**3 + 56*h**2 - 332*h + 645. Let m(j) = 4*j**3 + 84*j**2 - 500*j + 967. Let x(d) = 5*m(d) - 7*v(d). Factor x(t).
-(t - 20)*(t - 4)**2
Let n(h) = -3151*h**3 + 6312*h**2 - 3199*h - 60. Let y(o) = -630*o**3 + 1262*o**2 - 640*o - 13. Let f(w) = 3*n(w) - 14*y(w). Factor f(i).
-(i - 1)**2*(633*i - 2)
Let v be 24/(3 - -1)*((-48)/(-108))/((-20)/(-15)). Find k such that -14/3*k - 4/9*k**v + 44/9*k**3 - 2/9*k**5 + 22/9 - 2*k**4 = 0.
-11, -1, 1
Let i(s) be the third derivative of -3*s**4/2 - 54*s**3 - 2*s**2 - 65. Let y be i(-9). Factor -9/8*h**4 + 3/2*h**3 + 0 - 1/2*h**2 + y*h.
-h**2*(3*h - 2)**2/8
Let a = 186 + -103. Determine l, given that -4*l**2 + 27*l + 15*l**2 - 7*l**2 - a*l = 0.
0, 14
Let o(z) be the second derivative of -z**6/210 - 17*z**5/140 - z**4/2 + 1121*z. What is n in o(n) = 0?
-14, -3, 0
Let y = -250 + 249. Let b be (-2)/15*5 - y. Determine q so that -1/3*q**2 + b*q - 1/3*q**3 + 1/3 = 0.
-1, 1
Factor -28669 - 13540 - 1792*j**2 - 25288*j + 4253*j - 20*j**3 - 19743 - 20501*j.
-4*(j + 44)**2*(5*j + 8)
Let r(d) be the second derivative of d**5/120 - 35*d**4/72 + 11*d**3/6 + 87*d + 8. Factor r(v).
v*(v - 33)*(v - 2)/6
Suppose 4*w - 6*l + 6 = 0, 1577*l = 4*w + 1573*l + 4. Factor w*z - 12/5 + 3/5*z**2.
3*(z - 2)*(z + 2)/5
Factor -96/11*h + 16/11*h**2 + 2/11*h**3 + 0.
2*h*(h - 4)*(h + 12)/11
Solve 1/2*x**3 - 37/2*x + 0 - 18*x**2 = 0.
-1, 0, 37
Let q = 1707658/3 + -569219. Find j, given that -q*j**2 + 0 + 3*j = 0.
0, 9
Let m = -35740 + 35746. Let c(k) be the second derivative of 0*k**2 + 0*k**3 - 1/4*k**5 + 0 + 2/3*k**m - 28*k - 5/6*k**4 + 5/14*k**7. Factor c(u).
5*u**2*(u + 1)**2*(3*u - 2)
Suppose -2*d = 6*c - c - 9, 2*d = 3*c - 15. Suppose 3*p + c*p - 6 = 0. Factor -1 - 2 + p - 25*i + i**2 + 26*i.
(i - 1)*(i + 2)
Suppose 0 = -200*w + 410*w - 840. Let b(c) be the first derivative of 16 + 1/16*c**w + 0*c**2 + 1/4*c**3 - c. Let b(d) = 0. What is d?
-2, 1
Let f(w) be the first derivative of w**6/240 - w**5/20 + 3*w**4/16 + 46*w**3/3 - 55. Let q(o) be the third derivative of f(o). Factor q(m).
3*(m - 3)*(m - 1)/2
Let r(l) be the first derivative of -5*l**3/3 - 715*l**2/2 - 2873. Factor r(c).
-5*c*(c + 143)
Let f(w) be the second derivative of -w**6/180 - w**5/6 - 25*w**4/12 - 125*w**3/9 + 28*w**2 + 109*w. Let m(p) be the first derivative of f(p). Factor m(v).
-2*(v + 5)**3/3
Let d(b) be the first derivative of 0*b - 317 - 3/5*b**5 - 17*b**3 + 15*b**4 - 57*b**2. Factor d(y).
-3*y*(y - 19)*(y - 2)*(y + 1)
Let y be -7 - 91/7*-3. Factor v**3 - 24*v - 4*v**2 - 2*v**3 - v**4 + v**3 + y + 6*v**3.
-(v - 4)*(v - 2)**2*(v + 2)
Determine u so that -5858 - 226*u**2 + 66*u - 977*u - 27*u**3 + 952*u**2 - 1492*u + 5582 = 0.
-1/9, 4, 23
Let z(k) = 27*k**3 - 140*k**2 - 200*k - 24. Let y(u) = 82*u**3 - 422*u**2 - 600*u - 72. Let l(b) = -3*y(b) + 8*z(b). Factor l(x).
-2*(x - 6)*(x + 1)*(15*x + 2)
Let w(h) = -9*h**2 + 3*h - 3. Let f be w(2). Let l = 35 + f. Factor -16*i**3 - 3*i + 5*i**3 - 2*i**2 + 17*i**l - i**3.
-3*i*(i - 1)*(4*i - 1)
Let z(d) be the third derivative of d**5/60 + 5*d**4/3 - 46*d**3 - 580*d**2 - 4. Let z(c) = 0. Calculate c.
-46, 6
Let d be (-3)/15 + 13/15. Let f be ((-2)/(-12))/(119/6664). Factor -6*w - d*w**5 + 32/3*w**2 - f*w**3 + 4*w**4 + 4/3.
-2*(w - 2)*(w - 1)**4/3
Let o(c) be the second derivative of -c**5/40 - 245*c**4/12 - 60025*c**3/12 + c + 23. Factor o(p).
-p*(p + 245)**2/2
Let x(l) = l**3 + 1. Let c(h) = -2*h**4 - 12*h**3 + 4*h - 6. Let j(m) = c(m) + 8*x(m). Solve j(f) = 0 for f.
-1, 1
Let x = -2253878 + 2253878. Determine g so that -30/7*g**4 + 76/7*g**3 + x*g + 2/7*g**5 - 48/7*g**2 + 0 = 0.
0, 1, 2, 12
Let p(s) be the second derivative of -2/45*s**6 + 1/63*s**7 + 0 + 0*s**2 - 16*s - 1/9*s**3 + 1/9*s**4 + 0*s**5. Factor p(j).
2*j*(j - 1)**3*(j + 1)/3
Factor -138*m + 2526*m + 1892*m - 435*m - 2544025 - m**2 - 655*m.
-(m - 1595)**2
Let b(h) be the second derivative of -h**5/4 + 25*h**4/12 + 145*h**3/3 + 220*h**2 + 3230*h. Suppose b(d) = 0. What is d?
-4, -2, 11
Let s(v) = 2*v**2 - 16*v + 49. Let g be s(7). Suppose -136*x**2 - 84*x**3 - 86*x**3 - 145*x - 215*x**2 - g - 55*x**4 - 5*x**5 + 121*x**2 = 0. Calculate x.
-7, -1
Let j be 15/(-30)*6/(-18)*-1*-18. Let 0 - 5/3*q**5 + 8*q - 37/3*q**4 + 52/3*q**2 - 34/3*q**j = 0. What is q?
-6, -2, -2/5, 0, 1
Suppose -m - 2*v - 78 + 79 = 0, 2*m = v + 12. Let i(j) be the second derivative of 14*j + 0 - 5/3*j**4 - 7/30*j**m - 4*j**3 - 8/3*j**2. Solve i(h) = 0.
-2, -2/7
Let n(r) be the second derivative of r**7/33 - 128*r**6/165 - 52*r**5/55 + 83*r**4/33 + 97*r**3/33 - 38*r**2/11 - r - 281. Find s such that n(s) = 0.
-1, 2/7, 1, 19
Let m be (11856/(-91))/(-12) + -9 - (-6)/42. Factor -13/5*z - 3*z**m + 2/5.
-(z + 1)*(15*z - 2)/5
Let y(a) = 34*a**3 + 324*a**2 + 8*a - 324. Let m(n) = 12*n**3 + 108*n**2 + 3*n - 108. Let k(f) = 14*m(f) - 5*y(f). Let k(s) = 0. Calculate s.
-54, -1, 1
Let v(n) be the first derivative of 5*n**3/3 - 45*n**2/2 - 450*n + 281. Factor v(x).
5*(x - 15)*(x + 6)
Let g(z) be the third derivative of -35*z**5/2 - 165*z**4/8 - 9*z**3 - 141*z**2 + z + 1. Solve g(x) = 0 for x.
-3/10, -6/35
Let v(l) be the second derivative of -l**5/45 + 593*l**4/27 + 4768*l**3/27 + 1592*l**2/3 - 1424*l + 2. Let v(c) = 0. Calculate c.
-2, 597
Suppose -h + 10 = 6. Suppose -2*t**3 + 4*t**h - 2*t**4 - 2101*t**2 + 0*t + 2*t + 2099*t**2 = 0. Calculate t.
-1, 0, 1
Let t(j) = -187*j + 1126. Let x be t(6). Let a(q) be the second derivative of 7/5*q**5 + 0*q**2 + 0 - 1/3*q**x + 19*q + 0*q**3. Factor a(z).
4*z**2*(7*z - 1)
Let b(k) = 11*k**3 + 16*k**2 - k - 2. Let l(m) = -m**4 - 34*m**3 - 47*m**2 + 4*m + 4. Let o(h) = 7*b(h) + 2*l(h). Solve o(v) = 0.
-1, 1/2, 6
Let s(u) be the third derivative of u**7/3360 + 3*u**6/320 + 7*u**4/4 + 59*u**2. Let p(c) be the second derivative of s(c). Determine v, given that p(v) = 0.
-9, 0
Factor 2568*f + 22 - 82 - 27219*f**2 - 2363*f**3 - 328*f**3 - 2856*f**3.
-3*(f + 5)*(43*f - 2)**2
Let z(j) be the second derivative of -3*j**5/190 - 17*j**4/114 - 22*j**3/57 - 8*j**2/19 - 1698*j. Solve z(p) = 0.
-4, -1, -2/3
Let u(h) = 1 + h**3 - h + 16*h**2 - 3 - 18*h**2 + h**2. Let v(i) = -2*i**3 - i**2 + 35*i - 50. Let z(a) = u(a) - v(a). Find f such that z(f) = 0.
-4, 2
Let r(