) = -2*n**3 + 62*n**2 - 310*n + 394. Let t(r) = -2*o(r) + 5*u(r). Factor t(v).
-4*(v - 7)**2*(v - 2)
Find h such that 72 + 0*h**2 - 67*h - 3*h**2 + 52*h = 0.
-8, 3
Suppose 7*p + 5 = 12*p, 2*g + 4*p = 10. Factor 4/9*l**5 + 0 - 8/9*l**2 + 0*l**g + 8/9*l**4 - 4/9*l.
4*l*(l - 1)*(l + 1)**3/9
Let d(v) be the third derivative of -5*v**4/24 - 46*v**3/3 + 2*v**2. Let u be d(-19). Factor 1/6*k**4 - 1/6*k**2 + 1/6*k**5 + 0*k - 1/6*k**u + 0.
k**2*(k - 1)*(k + 1)**2/6
Let g be -1 - -2 - (-3 - -8). Let x be g + 0 + 1 + 8. Factor 4*d**2 - 6*d**x + 44*d**4 - 16*d**4 - 20*d**3 - 6*d**5.
-4*d**2*(d - 1)**2*(3*d - 1)
Let o(d) be the second derivative of 1/50*d**6 - 3/100*d**5 + 0*d**3 + 0*d**4 + 0*d**2 + 0 + 11*d. Solve o(f) = 0 for f.
0, 1
Let g(c) be the third derivative of -c**5/80 - 183*c**4/16 - 33489*c**3/8 - 666*c**2. Suppose g(o) = 0. What is o?
-183
Let i = 64 - 58. Suppose 0*c + 5*m = 2*c - 18, 2*c = -m + i. What is u in 6/7*u**3 + 3/7*u**c + 3/7 - 3/7*u - 6/7*u**2 - 3/7*u**5 = 0?
-1, 1
Factor -7688/9 + 248/9*n - 2/9*n**2.
-2*(n - 62)**2/9
Let y be 2/(-10) + 4345/14850. Let t(p) be the second derivative of 0 + 0*p**2 + y*p**4 + 7/90*p**5 - 2/27*p**3 - 5*p. Suppose t(a) = 0. Calculate a.
-1, 0, 2/7
Factor -17576*v - 1037*v**2 - 991*v**2 - 296*v**3 + 4*v**4 + 529*v**3 - 5*v**4 - 311*v**3.
-v*(v + 26)**3
Suppose 4*i = -5*l + 5 + 8, -5 = 5*i + 2*l. Let h be ((-18)/(-12))/(i/(-4)). What is c in c**5 + c - 2*c + h*c**2 + 0*c**5 - 2*c**4 = 0?
-1, 0, 1
Let r(o) be the second derivative of -o**5/90 + 14*o**4/27 + 29*o**3/27 - 224*o. Factor r(v).
-2*v*(v - 29)*(v + 1)/9
Let r(m) be the second derivative of -5*m**7/14 + 7*m**6/3 - 13*m**5/2 + 10*m**4 - 55*m**3/6 + 5*m**2 - 3*m - 17. Factor r(h).
-5*(h - 1)**4*(3*h - 2)
Let w = -277/9 + 184/9. Let k = w + 11. Factor -2/3 - k*p**2 - 4/3*p.
-2*(p + 1)**2/3
Let k(d) be the third derivative of -d**7/735 - d**6/84 - d**5/210 + d**4/4 + 6*d**3/7 + 15*d**2 - 8. Solve k(t) = 0 for t.
-3, -1, 2
Determine f, given that -81/2 - 567/8*f + 3/8*f**5 - 135/4*f**2 - 3/2*f**3 + 9/4*f**4 = 0.
-3, -1, 4
Let x(o) be the second derivative of o**5/60 - o**4/4 + 5*o**3/6 - 11*o**2/2 - 7*o. Let c(s) be the first derivative of x(s). Factor c(n).
(n - 5)*(n - 1)
Suppose i + 5*y + 41 = 50, -y = -1. Let c(l) be the second derivative of 3*l + 0*l**5 + 0 + 0*l**6 + 1/105*l**7 + 0*l**2 + 0*l**i + 0*l**3. Factor c(f).
2*f**5/5
Determine u, given that 29 - 17*u**2 - 106*u**3 - 244*u**4 + 5*u**2 + 28 - 57 - 70*u**5 = 0.
-3, -2/7, -1/5, 0
Let a(s) be the third derivative of s**6/120 + s**5/10 - 3*s**4/8 - 7*s**3/3 + 13*s**2 - 5. Factor a(y).
(y - 2)*(y + 1)*(y + 7)
Let a(r) be the third derivative of r**5/100 + 29*r**4/20 + 841*r**3/10 - 39*r**2. Factor a(k).
3*(k + 29)**2/5
Let w(v) be the second derivative of -1445*v**7/42 - 1921*v**6/6 - 1607*v**5/4 + 26885*v**4/12 - 1420*v**3 + 360*v**2 - 24*v. Find o such that w(o) = 0.
-4, 3/17, 1
Suppose 14 + 66 = 40*x. Let i(p) be the first derivative of -2 + 4/3*p**x + 1/6*p**4 + 8/9*p**3 + 0*p. Factor i(d).
2*d*(d + 2)**2/3
Let a(f) be the first derivative of 0*f**2 - 1 + 1/14*f**4 - 4/35*f**5 + 0*f**3 + 0*f. Factor a(c).
-2*c**3*(2*c - 1)/7
Let w(u) = u**3 - 25*u**2 + 123*u - 51. Let a be w(6). Factor 10/19*o**2 - 14/19*o**a + 4/19*o + 0.
-2*o*(o - 1)*(7*o + 2)/19
Suppose 100 = -2*u + 5*u - 4*i, -u = -5*i - 15. Suppose 9 = -u*w + 43*w. Factor -3/2*d - 15/2*d**2 + 3/2 - 9/2*d**w.
-3*(d + 1)**2*(3*d - 1)/2
Determine a, given that 0 + 6/5*a**2 - 8/5*a**3 + 0*a + 2/5*a**4 = 0.
0, 1, 3
Let l(m) be the third derivative of -1/1470*m**7 + 0 - 1/42*m**4 + 0*m**5 + 0*m**3 + 1/280*m**6 - 34*m**2 + 0*m. Factor l(r).
-r*(r - 2)**2*(r + 1)/7
Let v(w) = 2*w**2 - 5*w + 6. Let o be v(1). Let i(b) be the first derivative of 7 - 2/3*b - 4/9*b**o - 5/6*b**2 - 1/12*b**4. Solve i(y) = 0 for y.
-2, -1
Let t(r) be the second derivative of -r**8/280 + 2*r**7/105 - r**6/45 - 7*r**3/2 - 19*r. Let f(g) be the second derivative of t(g). Find n such that f(n) = 0.
0, 2/3, 2
Let 15/2 + 3/4*z**2 + 33/4*z = 0. Calculate z.
-10, -1
Let z(o) be the third derivative of o**6/90 + 13*o**5/45 + 20*o**4/9 + 8*o**3 - 52*o**2 - 2. Factor z(q).
4*(q + 2)**2*(q + 9)/3
Let y be (-1288)/3289 + 12/22. Determine t, given that 4/13*t**2 + 0 - 2/13*t**3 - y*t = 0.
0, 1
Suppose -10*g + 56 - 416 = 0. Let d = -32 - g. Factor z**2 - 1/3*z + 0 + 1/3*z**d - z**3.
z*(z - 1)**3/3
Let u = 2101 + -2099. Let -2/13*l**4 + 2/13*l**3 + 0 + 0*l**u + 0*l = 0. Calculate l.
0, 1
Let h(n) be the second derivative of n**4/16 + 15*n**3/4 - 51*n**2 + 687*n. Let h(u) = 0. What is u?
-34, 4
Let 27/7*b**3 + 1/7*b**4 + 729/7*b + 243/7*b**2 + 0 = 0. Calculate b.
-9, 0
Suppose 3*u + 9 = -0*u - 2*y, 5*y = 5*u - 10. Let x = u - -3. Factor -2*q**2 - q - x*q + 3*q.
-2*q**2
Let j(d) be the first derivative of -52*d**3/21 - 178*d**2/7 + 8*d - 87. Factor j(o).
-4*(o + 7)*(13*o - 2)/7
Suppose -4*j = 4*j + 368. Let w = j - -185/4. Solve -1/4*i**4 - w*i**3 - 1/2 + 1/4*i + 3/4*i**2 = 0 for i.
-2, -1, 1
Factor -5*s**2 - 17 - 5*s**3 + 2 - 1802*s + 1827*s.
-5*(s - 1)**2*(s + 3)
Let t(r) = 9*r**5 + 19*r**3 - 15*r**2 - 17*r + 4. Let h(l) = -5*l**5 - 10*l**3 + 8*l**2 + 9*l - 2. Let g(y) = 11*h(y) + 6*t(y). Suppose g(w) = 0. What is w?
-2, -1, 1
Let p(g) be the third derivative of g**3 + 6*g**2 + 5/12*g**4 + 0*g + 1/30*g**5 - 1/60*g**6 + 0. Find y such that p(y) = 0.
-1, 3
Let m(z) = 3*z**2 + 4*z - 5. Let a be m(4). Solve -a*x**2 - 4 - 55*x**2 + 2*x + 120*x**2 = 0.
-1, 2/3
Let n(p) be the second derivative of p**5/35 - 40*p**4/21 + 146*p**3/21 + 228*p**2/7 - 8*p + 15. Factor n(c).
4*(c - 38)*(c - 3)*(c + 1)/7
Let a(u) be the first derivative of 0*u**2 - 1/6*u**3 + 1/2*u - 13. Factor a(i).
-(i - 1)*(i + 1)/2
Let r be ((-21)/(-25))/(12/60). Determine j, given that -r*j**3 + 3/5*j**4 + 81/5*j + 27/5*j**2 - 162/5 = 0.
-2, 3
Let -2*y - 1341 + 1341 + 2*y**2 = 0. Calculate y.
0, 1
Suppose 20 = 3*r + 2*j, j = 2*r - 2*j + 4. Solve -9*s**3 - s**4 + 5974*s**2 - 2*s**r - 5980*s**2 = 0 for s.
-2, -1, 0
Let a(g) = g**2 - g - 2. Let x(c) be the second derivative of c**4/3 - c**3/2 - 7*c**2/2 - c. Let i(p) = 7*a(p) - 2*x(p). Suppose i(n) = 0. Calculate n.
-1, 0
Let o be (4/(-3))/(26/(-39)). Factor 3*l**2 + 10*l**o + 4*l**4 + 23*l - 15*l + 16*l**3 + 7*l**2.
4*l*(l + 1)**2*(l + 2)
Let f(l) be the second derivative of l**6/105 + 3*l**5/35 + 4*l**4/21 - 2*l**3/7 - 9*l**2/7 - 9*l + 2. Factor f(r).
2*(r - 1)*(r + 1)*(r + 3)**2/7
Let i be 14 + 1152/(-81) - (-58)/18. Let q(z) be the first derivative of z - 1/4*z**2 - 1/6*z**i + 7. Let q(v) = 0. What is v?
-2, 1
Factor -4 - 11/6*c - 1/6*c**2.
-(c + 3)*(c + 8)/6
Factor 288*k + 388*k**2 + 80 + 99*k**3 + 4*k**5 + 0 + 15*k**4 + 45*k**4 + 137*k**3.
4*(k + 1)**3*(k + 2)*(k + 10)
Let r(n) = -n**2 + 3*n + 7. Let i be r(-2). Let h(v) = v**3 - v**2 - 2*v. Let u(y) = 2*y**3 - y**2 - 3*y. Let w(j) = i*h(j) + 2*u(j). Factor w(f).
f**2*(f + 1)
Let x be (-6 - -11 - (-1345)/(-270))*1. Let s(k) be the second derivative of 3*k + 1/27*k**3 + x*k**4 + 0*k**2 - 1/90*k**5 + 0 - 1/135*k**6. Factor s(t).
-2*t*(t - 1)*(t + 1)**2/9
Let v(n) = -3*n**2 + 44*n + 496. Let g(x) = 5*x**2 - 88*x - 989. Let f(m) = 4*g(m) + 7*v(m). Factor f(u).
-(u + 22)**2
Let b = -7837/48 - -490/3. Let y(a) be the second derivative of -b*a**4 - a + 0 - 1/4*a**3 - 3/8*a**2. Find h, given that y(h) = 0.
-1
Let d(p) be the third derivative of 0*p - 1/1176*p**8 + 4/735*p**7 - 11/84*p**4 + 0 + 1/105*p**5 - 2/7*p**3 - 33*p**2 + 1/35*p**6. What is c in d(c) = 0?
-1, 1, 6
Let c(m) = -m**2 - m + 1. Let z be (-5 - -2)*(-1 + 0). Let b(n) = 15*n + 11*n + 7 - 8*n**2 - 33*n. Let x(i) = z*b(i) - 21*c(i). Factor x(a).
-3*a**2
Let u be 0 + (-5)/(5/(-2)). Suppose 0 = u*n, 4*q + 5*n - 12 = 4. Solve -f - 2*f + f + 2*f**2 - q = 0 for f.
-1, 2
Let f(j) be the first derivative of -2*j**6/3 - 16*j**5/5 - j**4 + 40*j**3/3 + 8*j**2 - 32*j - 49. Factor f(g).
-4*(g - 1)**2*(g + 2)**3
Let r(o) be the third derivative of o**7/315 - 11*o**6/180 + 2*o**5/5 - 4*o**4/9 - 64*o**3/9 - 138*o**2. Find f, given that r(f) = 0.
-1, 4
Let k(o) = -o**3 - 10*o**2 + 11*o + 12. Let m be k(-11). Suppose r + m = 3*g + 4*r, 2*g = -4*r + 16. Factor 3 - 5 + g + u + u**2.
(u - 1)*(u + 2)
Let j = -33748/9 + 3750. Determine z, given that 2/3*z - j*z**2 + 8/9 = 0.
-1, 4