ive of -13*z**4/24 - 3*z**3/2 - z**2/6 - 65. Find t such that u(t) = 0.
-2, -1/13, 0
Let c(y) be the third derivative of -y**7/105 - y**6/4 - 13*y**5/10 - 37*y**4/12 - 4*y**3 - 2*y**2 - 42*y. Let c(m) = 0. Calculate m.
-12, -1
Let z = 164 - 161. What is r in 0*r + r**4 + 0 - r**z - 1/3*r**5 + 1/3*r**2 = 0?
0, 1
Let w(j) = -j**5 + 2*j**4 - 56*j**3 - 20*j**2 + 388*j - 384. Let l(d) = d**5 + d**4 - d**3 - d**2 - d. Let t(z) = -4*l(z) - w(z). Factor t(y).
-3*(y - 2)**3*(y + 4)**2
Let t(i) be the third derivative of i**8/1344 - 3*i**7/280 - i**6/120 + 13*i**5/20 - 3*i**4/2 - 95*i**2. Factor t(u).
u*(u - 6)**2*(u - 1)*(u + 4)/4
Let x(w) be the third derivative of w**6/480 + w**5/15 + 123*w**2. Factor x(p).
p**2*(p + 16)/4
Let n(v) be the first derivative of v**5/5 - 8*v**4 + 10*v**3 + 16*v**2 - 31*v + 205. Factor n(t).
(t - 31)*(t - 1)**2*(t + 1)
Determine p so that -3/5*p**2 + 1/5*p**4 - 2*p**3 + 4 + 28/5*p = 0.
-1, 2, 10
Let h(u) = -5*u**2 - 9*u - 1. Let v(r) = -r**3 + 14*r**2 - r + 20. Let x be v(14). Let y(c) = 4*c**2 + 8*c + 2. Let t(f) = x*y(f) + 4*h(f). Factor t(m).
4*(m + 1)*(m + 2)
Let j = -25 + 21. Let a(v) = -v**2 - 9*v - 33. Let w(b) = b + 1. Let s(p) = j*a(p) + 12*w(p). Solve s(t) = 0 for t.
-6
Let a(k) be the first derivative of 3/20*k**5 - 9*k**2 + 42 - 23/4*k**3 + 108*k + 3/8*k**4. Factor a(s).
3*(s - 3)**2*(s + 4)**2/4
Let c(n) be the second derivative of n**4/36 + 11*n**3/2 + 49*n**2/3 + 2*n - 35. What is i in c(i) = 0?
-98, -1
Solve 8/7 + 26/7*u**2 + 36/7*u - 9/7*u**3 - u**4 = 0.
-2, -1, -2/7, 2
Suppose 572 = -2*f + 586, 15 = -3*s + 3*f. Factor -4/11*u + 2/11 + 2/11*u**s.
2*(u - 1)**2/11
Let q(c) be the third derivative of c**8/4200 - c**7/525 + c**6/180 - c**5/150 + 4*c**3 + 21*c**2. Let g(h) be the first derivative of q(h). Factor g(b).
2*b*(b - 2)*(b - 1)**2/5
Let m(h) = -2*h + 6. Let s be m(2). Suppose 2*a = -l - a - 1, s*l - 2*a - 22 = 0. Factor -13 + 7 - c**3 - 5*c + 4*c**2 + l.
-(c - 2)*(c - 1)**2
Let o = -2015 + 2017. Let h(v) be the third derivative of 2*v**o + 0*v + 3/40*v**5 + 3/2*v**3 + 11/16*v**4 + 0. Factor h(l).
3*(l + 3)*(3*l + 2)/2
Let u(v) be the second derivative of 5*v**7/294 - 29*v**6/210 + 27*v**5/70 - v**4/3 - 4*v**3/21 - 52*v. Find i such that u(i) = 0.
-1/5, 0, 2
Let d(p) = -5*p**3 + 2*p**2 - p + 4. Let l(o) = o**3 - 1. Let y(a) = -d(a) - 6*l(a). Determine i so that y(i) = 0.
-2, -1, 1
Determine v so that 87 + 12*v**2 - v**3 - 270 - 21*v + 85 = 0.
-2, 7
Find i such that 1/3*i**4 + 0*i**2 - 4/3*i**3 + 0 + 0*i = 0.
0, 4
Factor -2/7*x**2 + 2/7*x**3 + 0 + 0*x.
2*x**2*(x - 1)/7
Let z = 9 - 13. Let s(c) = c**3 + 5*c**2 + 3*c - 2. Let d be s(z). Factor k + d*k - 2*k - k**3.
-k*(k - 1)*(k + 1)
Let k = -5 + 7. Suppose 5*z + 4 = -b - 4, 5*b + 5*z = 0. Factor b*l - 1 + 2 - 6*l**k + 7 + 6*l.
-2*(l - 2)*(3*l + 2)
Let w(o) be the second derivative of -27*o**4/4 + o**3 - 88*o. Factor w(a).
-3*a*(27*a - 2)
Let n be (-148)/(-14) + -10 + 4/(-7). Let z(o) be the second derivative of 4*o - 1/24*o**3 - 1/24*o**4 + n*o**2 - 1/80*o**5 + 0. Factor z(h).
-h*(h + 1)**2/4
Let o(k) be the first derivative of 2*k**5/75 - k**4/30 - 2*k**3/9 - k**2/5 + 55. Factor o(w).
2*w*(w - 3)*(w + 1)**2/15
Let l(p) = -17*p**4 + 388*p**3 + 3042*p**2 + 4230*p - 1315. Let s(r) = -2*r**4 + 43*r**3 + 338*r**2 + 471*r - 146. Let g(o) = 2*l(o) - 19*s(o). Factor g(h).
(h - 16)*(h + 3)**2*(4*h - 1)
Let r = -3 - -6. Let t = 796 - 7162/9. Find l such that -t*l**r - 2/9*l**2 + 0 + 0*l = 0.
-1, 0
Let m(p) be the first derivative of -14/3*p**3 + 32*p + 8 + 1/2*p**4 + 8*p**2. Suppose m(h) = 0. Calculate h.
-1, 4
Suppose -35 = -s + 8*s. Let d be (-12)/((-2 - s - 5) + 1). Factor 3 - 57/4*g**3 + 21/4*g**4 + 75/4*g**2 - d*g - 3/4*g**5.
-3*(g - 2)**2*(g - 1)**3/4
Let q be (-55)/440 + (-28)/64*-14. Factor 6/5*g**4 + 42/5*g**2 + 0 + 18/5*g + q*g**3.
6*g*(g + 1)**2*(g + 3)/5
Let y(i) be the first derivative of 2*i**5/5 - 3*i**4 - 16*i**3/3 + 6*i**2 + 14*i - 290. Factor y(f).
2*(f - 7)*(f - 1)*(f + 1)**2
Suppose 3*x = -3*b + 3, 2*b + 3*x - 11 = b. Let r be 714/306*1*b/(-14). Solve 2/3*f**2 + 0 - r*f = 0.
0, 1
Factor -11*j**2 + 11*j**4 - 8*j**4 + 75*j**2 + 54*j**3 + 24*j + 16*j**2 + 7*j**4.
2*j*(j + 2)*(j + 3)*(5*j + 2)
Suppose 5*g + 9 = 29, -34 = -2*t - 5*g. Suppose -6*r = -t - 17. Determine j, given that -2/5*j**3 - 2/5*j**2 + 2/5*j + 2/5*j**r + 0 = 0.
-1, 0, 1
Factor 124/9*y + 2/9*y**2 + 1922/9.
2*(y + 31)**2/9
Let s = 5996/9 - 666. Factor 0 - s*c - 2/9*c**2.
-2*c*(c + 1)/9
Let s(t) be the third derivative of -t**6/80 - 15*t**5/8 + 39*t**4/8 + 38*t**3 - 437*t**2. Determine k, given that s(k) = 0.
-76, -1, 2
Let n(r) = 22*r**4 - 12*r**3 - 18*r**2 + 840*r + 1160. Let h(a) = 7*a**4 - 5*a**3 - 6*a**2 + 280*a + 387. Let p(m) = -16*h(m) + 5*n(m). Factor p(v).
-2*(v - 7)**2*(v + 2)**2
Suppose 5*d - 109 + 99 = 0. Let m(g) be the first derivative of 8*g - d + 5*g**2 + 2/3*g**3. Solve m(f) = 0.
-4, -1
Let u be 38/2*(1 - 2)/1. Let f be (-1)/(-2)*(7 - u/(-3)). What is n in -f - 2/3*n - 1/3*n**2 = 0?
-1
Let v(y) be the second derivative of -8*y**5/3 - 110*y**4/3 - 605*y**3/3 - 6655*y**2/12 - 39*y. Factor v(o).
-5*(4*o + 11)**3/6
Let i(y) = 428*y + 3854. Let h be i(-9). Factor 0*q + 2/11*q**h + 0.
2*q**2/11
Let q be (-384)/(-616) - -4 - (30/(-7) - -4). Solve 14/11 - 8/11*l**2 - q*l = 0 for l.
-7, 1/4
Let o be (-11 + 11)*(-34)/204. Let v - 1/5*v**2 + o = 0. Calculate v.
0, 5
Let t(z) be the first derivative of z**6/2 + 4*z**5/5 - 13*z**4/4 - 6*z**3 + 2*z**2 + 8*z + 114. Suppose t(f) = 0. Calculate f.
-2, -1, 2/3, 2
Factor w - 5/4*w**2 + 1/4*w**3 + 0.
w*(w - 4)*(w - 1)/4
Let p(y) = 17*y**2 + 27*y + 9. Let q(v) = 1. Let f(g) = -5*p(g) - 5*q(g). Factor f(w).
-5*(w + 1)*(17*w + 10)
Let h = 12864 - 12861. Let 0 - 4/3*c**4 - 4/3*c**2 + 0*c + 8/3*c**h = 0. What is c?
0, 1
Let z(m) be the first derivative of -m**4/90 + 4*m**3/45 - 2*m + 1. Let u(x) be the first derivative of z(x). Find v such that u(v) = 0.
0, 4
Solve -31 - 3 + 10*z - 2 - 32*z - 2*z**2 = 0 for z.
-9, -2
Let c(u) be the third derivative of -u**11/1663200 + u**9/151200 - u**7/25200 + 7*u**5/30 + 13*u**2. Let g(k) be the third derivative of c(k). Factor g(i).
-i*(i - 1)**2*(i + 1)**2/5
Let j(y) be the second derivative of -5*y**4/6 - 5*y**3/12 + 25*y**2/4 - 16*y - 1. Factor j(f).
-5*(f - 1)*(4*f + 5)/2
Let y(o) be the second derivative of 5/6*o**3 - 12*o - 5/6*o**4 + 0 + 0*o**2 + 1/4*o**5. Find c, given that y(c) = 0.
0, 1
What is s in -22*s**2 - 27*s**2 - 1071 - 4705 + 45*s**2 + 304*s = 0?
38
Let k(n) = 32*n**4 + 436*n**3 + 2340*n**2 + 4704*n + 1996. Let o(c) = c**4 + c - 1. Let r(t) = -k(t) + 4*o(t). Factor r(z).
-4*(z + 5)**3*(7*z + 4)
Let d(b) be the first derivative of -12*b**5/5 - 10*b**4 - 16*b**3/3 + 16*b**2 - 218. Factor d(g).
-4*g*(g + 2)**2*(3*g - 2)
Let u = 797/5 - 2386/15. Let c(s) be the second derivative of 0*s**3 + 0*s**2 - 1/5*s**5 + 0 + 9*s + u*s**4. Determine q so that c(q) = 0.
0, 1
Find h such that 5*h**3 - 6388*h**2 - 2*h**3 + 6391*h**2 = 0.
-1, 0
Let c(o) be the second derivative of -4/5*o**2 + 1/10*o**4 + 2/3*o**3 - 13/100*o**5 + 0 + o - 1/30*o**6. Solve c(x) = 0.
-2, 2/5, 1
Factor 0*w**2 - 6/11*w + 6/11*w**3 + 0.
6*w*(w - 1)*(w + 1)/11
Let p(t) be the second derivative of t**7/14 + 9*t**6/5 + 339*t**5/20 + 69*t**4 + 90*t**3 - 432*t. Factor p(h).
3*h*(h + 1)*(h + 5)*(h + 6)**2
Suppose 4*f + 9*p - 82 = 4*p, -3*f + 60 = 3*p. Suppose 0 = -s - s + 4*t + 10, -8 = -s - t. Solve f*y**3 - s*y + 39*y + 8 + 42*y**2 + 0*y**3 = 0 for y.
-1, -2/3
Let -76*u - 3*u**2 - 5 + 34*u + 58*u = 0. Calculate u.
1/3, 5
Suppose 27 = -2*n + 33. Let l(b) be the first derivative of 6 + 2/3*b**n + 8*b - 4*b**2. Determine y so that l(y) = 0.
2
Let o(a) be the second derivative of 2*a**6/45 - a**5/10 - a**4/6 + 2*a**3/9 - 3*a + 14. Solve o(d) = 0.
-1, 0, 1/2, 2
Let v(o) be the third derivative of o**6/60 + o**5/10 - o**4/12 - o**3 - 51*o**2. Factor v(z).
2*(z - 1)*(z + 1)*(z + 3)
Suppose -51*z - 5*z**3 - 44*z**2 - 9*z + 109*z**2 = 0. Calculate z.
0, 1, 12
Let x = -2455 + 12299/5. What is c in 2/5*c**2 + 72/5 + x*c = 0?
-6
Let v be (-2 - -14)/(-3) - (-3 - 1). Let f(n) be the second derivative of 0*n**3 + v*n**2 + 1/12*n**4 + 0 - 5*n + 0*n**5 - 1/30*n**6. Factor f(x).
-x**2*(x - 1)*(x + 1)
Let d(k) = -k**2 + 1. Let r(p) = -2*p**2 - 1