Let n(u) be the third derivative of -1/12*u**5 + 30*u**2 - 1/24*u**6 + 15/2*u**3 + 15/8*u**4 + 0*u + 0. Solve n(p) = 0 for p.
-3, -1, 3
Let o(i) be the second derivative of -5*i**5 - 16430*i**4/3 + 26312*i**3/3 - 5264*i**2 + 66*i - 21. Suppose o(g) = 0. What is g?
-658, 2/5
Suppose 28*a = 5*o + 30*a - 19, -2*a - 11 = -o. Let c(j) be the first derivative of -21 - 2*j + 1/5*j**o - 3/4*j**4 + 1/3*j**3 + 3/2*j**2. Factor c(u).
(u - 2)*(u - 1)**2*(u + 1)
Let g(h) be the second derivative of -h**4/30 - 288*h**3/5 - 4962*h. Let g(y) = 0. What is y?
-864, 0
Let u(m) be the third derivative of -m**7/210 - m**6/10 - 13*m**5/60 + 11*m**4/4 - 20*m**3/3 + 402*m**2 + 4. Factor u(c).
-(c - 1)**2*(c + 4)*(c + 10)
Let z(k) = 5*k**2 + 19*k + 7. Let y be z(-4). Factor y*l - l**2 - 19 + 12*l + l - 5*l + l.
-(l - 19)*(l - 1)
Let v = -3845 + 3851. Let x(n) be the second derivative of 1/10*n**5 + 0 + 11/3*n**3 - 3/2*n**4 + 13*n + 1/15*n**v - 4*n**2. Factor x(m).
2*(m - 1)**3*(m + 4)
Suppose -5 + 15 = 5*d. Suppose 3*n - 3*b - 89 = -n, 2*b = -d*n + 62. Determine m so that 4 + 4*m**3 + n*m + 16*m**2 - 4*m**2 - 14*m = 0.
-1
Let k(z) = -z**3 - z**2 - z + 1. Let o(b) = 2*b**3 + 6*b**2 - 222*b - 798. Let u = 61 + -60. Let w(r) = u*o(r) - 2*k(r). Factor w(g).
4*(g - 8)*(g + 5)**2
Let c = 16 - 14. Factor -8*r**2 - 75*r + 19 + 5*r**c - 5*r**2 + 4*r**2.
-(r + 19)*(4*r - 1)
Suppose -146882 - 542*m - 1/2*m**2 = 0. What is m?
-542
Let o = 8809 + -8809. Factor -2/3*q**2 - 8/3*q + o.
-2*q*(q + 4)/3
Suppose -4 = -3*u - 7. Let q(y) = 3*y**3 + 3*y**2 + 21*y - 9. Let j(s) = s**2 + 0*s**2 + 7761*s - 7762*s + 1. Let w(t) = u*q(t) - 9*j(t). Factor w(h).
-3*h*(h + 2)**2
Let k = 2449/14532 - 9/4844. Factor 0 + 0*i - 1/6*i**2 + k*i**3.
i**2*(i - 1)/6
Let m(g) be the third derivative of g**7/945 - 47*g**6/540 + 103*g**5/45 - 385*g**4/27 + 968*g**3/27 - 179*g**2 - 2. What is s in m(s) = 0?
1, 2, 22
Let p(o) be the first derivative of 40*o - 75/2*o**2 - 130/3*o**3 - 15/4*o**4 + 89. Suppose p(j) = 0. Calculate j.
-8, -1, 1/3
Let o(i) be the second derivative of 5*i**9/3024 - i**7/56 + i**6/36 - 31*i**3/3 - i - 22. Let l(t) be the second derivative of o(t). Factor l(a).
5*a**2*(a - 1)**2*(a + 2)
Let u(j) = -993*j - 256190. Let d be u(-258). Suppose 22/5*r - 8/5*r**5 - 42/5*r**3 + 8*r**2 - 12/5 - 56/5*r**d = 0. What is r?
-6, -1, 1/2
Let s(u) be the third derivative of -u**5/60 + 239*u**4/24 + 245*u**3 + 1879*u**2 - 2. Let s(t) = 0. Calculate t.
-6, 245
Let q = 936999 - 936993. Factor -3/5*a**2 + 0 + q*a.
-3*a*(a - 10)/5
Let x be (-6)/(-3) + 1/(-9)*(-53 + 59). Let r(o) be the second derivative of -x*o**3 + 0*o**2 - o**4 + 0 - 28*o - 1/5*o**5. Factor r(f).
-4*f*(f + 1)*(f + 2)
Factor -8445*d**4 + 2*d**5 + 280*d**3 + 8295*d**4 + 3*d**5.
5*d**3*(d - 28)*(d - 2)
Let r(h) be the second derivative of 1/10*h**5 + 52*h + 0*h**4 - 1/42*h**7 + 0*h**2 - 1/6*h**3 + 0 + 0*h**6. Factor r(a).
-a*(a - 1)**2*(a + 1)**2
What is i in 40*i**3 + 240*i - 585 - 5*i**4 - 3974*i**2 + 2119*i**2 + 2165*i**2 = 0?
-3, 1, 13
Let c(x) = x**2 - 7*x + 17. Let n be c(3). Factor 0*u**3 + 30*u**4 + 41*u**3 - 45*u + n*u**5 - 30*u**2 - u**3.
5*u*(u - 1)*(u + 1)*(u + 3)**2
Solve -502/9*w**2 - 82/9*w**5 + 16/9 - 698/9*w**3 - 134/3*w**4 - 12*w = 0.
-2, -1, 4/41
Let i(w) be the second derivative of 0 - 1/4*w**4 - 12*w**2 - 17*w + 9/2*w**3. Solve i(a) = 0.
1, 8
Let u(y) be the second derivative of y**4/18 - 37*y**3/9 + 70*y**2/3 - 200*y - 4. What is g in u(g) = 0?
2, 35
Suppose -6*q = 85 + 23. Let p be (-56)/q - (-2)/(-18). Determine r, given that 4/11*r**p - 6/11*r**2 + 6/11 - 4/11*r = 0.
-1, 1, 3/2
Let u(q) be the third derivative of -q**6/288 + 17*q**5/96 + 25*q**3 + 2*q**2 + 1. Let t(p) be the first derivative of u(p). Factor t(k).
-5*k*(k - 17)/4
Let -391*c + 330 + 2*c**3 + 3*c**3 - 7688*c**2 + 7708*c**2 + 36*c = 0. What is c?
-11, 1, 6
Let s = 4 - 2. Suppose -53 = -4*n - 5*m, n - m = 5*n - 33. Factor -67*o**3 + 4 + 39*o**4 - 4*o - 20*o + 31*o**2 + 19*o**s + n*o**2 - 9*o**5.
-(o - 1)**3*(3*o - 2)**2
Let l(z) = -146*z - 18. Let p be l(-17). Let h be 2/(-11) - (-1856)/p. Factor -4/7*a**2 - 4/7*a**3 + h + 4/7*a.
-4*(a - 1)*(a + 1)**2/7
Let z(k) be the first derivative of -1/300*k**6 + 0*k**3 + 1/60*k**4 - 3/2*k**2 + 0*k**5 + 0*k - 3. Let p(d) be the second derivative of z(d). Factor p(a).
-2*a*(a - 1)*(a + 1)/5
Let m(x) be the second derivative of 0 - 11*x - 5*x**2 - 15/4*x**4 - 5/8*x**5 - 9*x**3. Let q(l) be the first derivative of m(l). Determine v so that q(v) = 0.
-6/5
Let g = -9051 + 9055. Let b(a) be the first derivative of -7/9*a**6 + 25 + 25/18*a**g + 16/27*a**3 + 0*a - 16/45*a**5 - 4/9*a**2. Find v, given that b(v) = 0.
-1, -2/3, 0, 2/7, 1
Suppose -4*x - 5468 = -8*x. Let 8*l + x + 6*l - 3*l**3 - 5*l - 1373 = 0. What is l?
-2, 1
Suppose 3*p + 17*p = -8*p - 2*p. Let r(j) be the third derivative of -4*j**2 + 1/12*j**4 + 0*j + p + 1/60*j**5 + 0*j**3. Suppose r(f) = 0. What is f?
-2, 0
Let f(w) be the second derivative of 4*w**6/15 + 103*w**5/5 + 3467*w**4/8 - 1339*w**3/3 + 169*w**2 + 449*w. Find t, given that f(t) = 0.
-26, 1/4
Suppose -5/4*d**4 + 4 + 23/4*d**3 - 11/2*d - 11/4*d**2 - 1/4*d**5 = 0. What is d?
-8, -1, 1, 2
Suppose -110 = 276*d - 298*d. Let n(r) be the third derivative of -2/15*r**d - 5/6*r**4 + 0 + 0*r + 8*r**2 - 4/3*r**3. Find b, given that n(b) = 0.
-2, -1/2
Let b = -13545 + 13548. Let s(p) be the first derivative of -1/10*p**2 - 2 - 2/5*p + 1/3*p**b - 1/10*p**4. Factor s(v).
-(v - 2)*(v - 1)*(2*v + 1)/5
Let x(n) = -n**3 - 4*n**2 + 5*n + 5. Let b be x(-5). Factor 175*h + 975*h**2 - 382 - 819 + b*h**4 + 221 - 35*h - 140*h**3.
5*(h - 14)**2*(h - 1)*(h + 1)
Let p(j) be the second derivative of 0*j**2 + 4/3*j**4 - 6 - 2*j + 1/5*j**5 + 2*j**3. Suppose p(s) = 0. What is s?
-3, -1, 0
Let u(v) be the first derivative of -v**6/15 + 8*v**5/35 - 2*v**4/21 - 46*v + 37. Let g(m) be the first derivative of u(m). Factor g(h).
-2*h**2*(h - 2)*(7*h - 2)/7
Let i(q) = 55*q**3 + 396*q**2 + 353*q + 27. Let w(t) = -2*t**2 + 4*t + 1. Let p(u) = -i(u) - 3*w(u). Factor p(o).
-5*(o + 1)*(o + 6)*(11*o + 1)
Let x = 69 + -68. Let r(j) = -2*j + 4. Let q be r(x). Solve 4*h - 7 - 5 - 2*h + 14*h - 4*h**q = 0.
1, 3
Let h = -1557230 - -26472924/17. Solve 2/17*w**2 + 20/17 + h*w = 0 for w.
-5, -2
Let r(n) be the second derivative of n**4/15 - 112*n**3/3 + 558*n**2/5 + 19*n - 3. Determine x, given that r(x) = 0.
1, 279
Let h be ((-312)/(-36) - 8)/(4/(-4098)). Let z = -2048/3 - h. Factor -1/6*l**2 + z*l - 1/6.
-(l - 1)**2/6
Let r(m) be the first derivative of -45/2*m**2 + 0*m + 66 + 85/6*m**3 + 5/8*m**4. Factor r(t).
5*t*(t - 1)*(t + 18)/2
Let c(s) be the first derivative of 84 - 2/15*s**3 + 8*s**2 - 78/5*s. Factor c(x).
-2*(x - 39)*(x - 1)/5
Let j = 690411 - 690408. Factor -4*i**4 + 1/2*i**5 + 0 - 6*i**j + 72*i**2 + 0*i.
i**2*(i - 6)**2*(i + 4)/2
Let z(o) be the second derivative of -o**5/16 - 3845*o**4/48 - 737275*o**3/24 + 741125*o**2/8 - 802*o + 1. Find x, given that z(x) = 0.
-385, 1
Let s(p) = 2*p**2 + 2*p - 178. Let x be s(-10). Let j(w) be the first derivative of -6/5*w**x + 4/5*w - 4/15*w**3 + 12 + 3/5*w**4. Factor j(r).
4*(r - 1)*(r + 1)*(3*r - 1)/5
Determine u, given that 97682 + 442*u + 1/2*u**2 = 0.
-442
Let g(o) be the third derivative of o**5/210 + 10*o**4/21 - 43*o**3/7 - o**2 - 672. Let g(d) = 0. What is d?
-43, 3
Suppose 4*l - 42 = -4*z + 14, -l = 4*z - 59. Let s(r) = r**3 - r**2 + r + 30. Let v be s(0). Factor -m**3 + z*m**2 + 10 - 3*m**3 - v - m**3.
-5*(m - 2)**2*(m + 1)
Let v = 77237/4 - 19309. Let n(l) be the second derivative of v*l**5 + 0 + 0*l**2 - 29*l + 0*l**3 + 0*l**4 - 1/6*l**6. Solve n(r) = 0 for r.
0, 1
Let v be 40/(-480)*100/(-22) - (-47)/(-1034). Factor -1/3 - v*q - q**3 + 5/3*q**2.
-(q - 1)**2*(3*q + 1)/3
Let d be 20 - (-6)/6*5. Factor 23*b**3 + 5*b**2 - d*b**3 - 7*b + 5*b.
-b*(b - 2)*(2*b - 1)
Let z be 24/(-15) - 1921/(-85). Let 44*a - 42*a**2 + 2*a**3 - 42*a**4 - 2*a**3 - 16 + 16*a**3 + 19*a**4 + z*a**4 = 0. Calculate a.
1, 2, 4
Let p = -1314 + 1320. Let n(b) be the third derivative of -1/18*b**3 + 1/72*b**4 - 1/360*b**p + 8*b**2 + 0*b + 0 + 1/180*b**5. Determine x, given that n(x) = 0.
-1, 1
Suppose 5*s = 7*s - 8. Suppose 0 = s*f + m + 4, 2*f + 5*m - 3 + 23 = 0. Solve -4/7*g - 2/7*g**2 + f = 0.
-2, 0
Let a(r) = 