35. Factor 0 + z*j**3 + 2/3*j**2 + q*j - 2/3*j**4 - 1/3*j**5.
-j*(j - 1)*(j + 1)**3/3
Let h(b) be the third derivative of -b**5/300 - b**4/6 + 23*b**3/10 - 18*b**2 + b + 2. Determine t, given that h(t) = 0.
-23, 3
Let v(w) = 4*w**2 - 7*w - 7. Let x be v(3). Let r be (-7)/((-14)/20)*x/56. Factor 22/7*t**2 - 6/7*t**3 - 6/7 - r*t.
-2*(t - 3)*(t - 1)*(3*t + 1)/7
Let k(s) = -s**3 - 23*s**2 - 216*s - 502. Let v(w) = -w**3 - 22*w**2 - 224*w - 503. Let h(d) = -3*k(d) + 2*v(d). Find g, given that h(g) = 0.
-10, -5
Let n(a) be the first derivative of -a**7/945 + a**6/108 + a**5/270 - 5*a**4/108 - 5*a**2 - 6*a + 55. Let t(r) be the second derivative of n(r). Factor t(q).
-2*q*(q - 5)*(q - 1)*(q + 1)/9
Let g be 1 + 3 + (-42)/(504/12). Let f(s) be the third derivative of 13/51*s**g + 0 + 2*s**2 - 1/255*s**5 - 5*s + 25/204*s**4. Factor f(p).
-2*(p - 13)*(2*p + 1)/17
Suppose -5*i + 22 = -4*f, i + 1 = 3*i + f. Factor 11*p**4 - 3*p**3 - 26*p**4 - 2*p**5 + 7*p**4 - 4*p**i - 7*p**3.
-2*p**2*(p + 1)**2*(p + 2)
Let k(r) be the third derivative of -r**5/30 + 5*r**4/6 + 119*r**3/3 - 24*r**2 - r. Determine s, given that k(s) = 0.
-7, 17
Let y(z) be the first derivative of 24/7*z**2 + 2/7*z**3 + 6*z - 99. Factor y(u).
6*(u + 1)*(u + 7)/7
Let q(a) be the second derivative of -2/11*a**2 - 13/6*a**4 + 64/165*a**6 + 0 + 24/55*a**5 + a**3 + 33*a. Solve q(n) = 0 for n.
-2, 1/8, 1
Let k(c) = c**4 + c**3 + c**2 - 1. Let g(q) = 4*q**3 - 3*q + 1. Let w be (-8)/(-10) - (-11)/275*5. Let o(m) = w*g(m) - k(m). What is p in o(p) = 0?
-1, 1, 2
Let h(r) be the first derivative of 2*r**3/3 + 15*r**2/2 + 68. Let z(l) = l**2 + 8*l. Let n(d) = 3*h(d) - 7*z(d). Factor n(u).
-u*(u + 11)
Suppose 5724/5 - 489/5*g**3 - 12/5*g**4 + 7323/5*g**2 - 24696/5*g = 0. What is g?
-53, 1/4, 6
Let r(q) be the first derivative of q**6/6 + 25*q**5 - 191*q**4/2 + 256*q**3/3 - 605. Factor r(f).
f**2*(f - 2)*(f - 1)*(f + 128)
Let g(b) = 6*b + 219. Let y be g(-19). Suppose -y - 1060*v + 3*v**3 + 2*v**3 + 105*v**2 + 1055*v = 0. What is v?
-21, -1, 1
Let y = 135 + -79. Solve -j - 8*j**3 - 60*j**4 - 16 + 5*j + 12*j + y*j**4 + 12*j**2 = 0.
-2, 1
Let p(n) be the second derivative of -n**5/120 + n**4/48 - 21*n**2 + 19*n - 1. Let x(c) be the first derivative of p(c). Determine b, given that x(b) = 0.
0, 1
Let 919368/7*t**2 + 2/7*t**4 + 0*t - 2712/7*t**3 + 0 = 0. What is t?
0, 678
Let b = 127 - 119. Suppose 0 = -v - 2*m + b, -3*v = -8*v - 5*m + 30. Determine j, given that -6 + 3*j**3 + 3/2*j**2 - 8*j - 1/2*j**v = 0.
-1, 2, 6
Let z = 158149 + -158146. Let 0 + 6/5*s + 33/5*s**2 - 18/5*s**z = 0. What is s?
-1/6, 0, 2
Let u be -2 + 7 + 78102/(-561). Let n = u - -1523/11. Factor 16/17 + 6/17*b**4 + n*b + 38/17*b**3 + 84/17*b**2.
2*(b + 2)**3*(3*b + 1)/17
Let 629*k + 24*k**3 + 622*k + 6*k**2 - 3*k**4 - 1203*k - 66*k**2 = 0. What is k?
0, 2, 4
Factor 4800/7*j - 1440000/7 - 4/7*j**2.
-4*(j - 600)**2/7
Let k(m) be the third derivative of -m**5/270 - 17*m**4/54 - 56*m**3/9 - 464*m**2. Factor k(p).
-2*(p + 6)*(p + 28)/9
Let b(j) be the second derivative of -43*j + 25/6*j**6 - 95/6*j**3 + 35/4*j**5 + 1 - 65/4*j**4 - 5*j**2. Determine y so that b(y) = 0.
-2, -1/5, 1
Let x(s) = 4*s - 8. Let t be x(5). Suppose -4*y = -y - t. Let -45 - y*v**2 - 254*v + 224*v + 3*v**2 - 4*v**2 = 0. Calculate v.
-3
Let v be (4752/(-18))/33 - (-744)/66. Find i, given that -16/11*i**2 - v - 2/11*i**3 - 42/11*i = 0.
-3, -2
Let g(c) be the first derivative of -c**6/8 + 9*c**5/5 + 502. Factor g(q).
-3*q**4*(q - 12)/4
Let v be 2 - -1*2/(-1). Let a = -43651 - -43654. What is h in 2/13*h**4 + v*h**a + 0 - 6/13*h**2 + 4/13*h = 0?
-2, 0, 1
Let p(z) = -12*z + 61. Let h be p(-4). Factor h*k**2 - 5*k + 5*k**3 - 57*k**2 - 52*k**2.
5*k*(k - 1)*(k + 1)
Let o = 30 + -23. Find l such that 2*l + 34*l**2 + o*l**2 - 9*l**2 + 16 - 2*l**3 - 48 = 0.
-1, 1, 16
Let r = 4744/9331 + 84/1333. Solve 2/7*f**3 + 0 + 0*f - 2/7*f**5 - r*f**2 + 4/7*f**4 = 0.
-1, 0, 1, 2
Let s(j) be the first derivative of -j**3/3 + 239*j**2 - 57121*j + 3350. What is c in s(c) = 0?
239
Let n(k) = 3*k**3 + 9*k**2 - 6*k - 6. Let g(q) = 5*q - 6. Let r be g(2). Let v(a) = r + 4 - a**2 + a - 3 - 4. Let u(o) = -n(o) - 6*v(o). Factor u(h).
-3*h**2*(h + 1)
Let d(p) be the second derivative of p**6/15 + 13*p**5/10 + 9*p + 24. Factor d(w).
2*w**3*(w + 13)
Let j(p) be the second derivative of 184/3*p**4 - 3 + 64*p**3 - 6*p + 24*p**5 + 32*p**2 + 10/3*p**6. Factor j(c).
4*(c + 2)**2*(5*c + 2)**2
Let g = -58023 + 58563. Factor g*c**2 + 3/5 + 36*c.
3*(30*c + 1)**2/5
Let m(k) be the second derivative of 5 + 2/3*k**3 - 12/5*k**2 - 1/15*k**4 + 4*k. What is y in m(y) = 0?
2, 3
Let t(y) = 139*y**4 + 21*y**3 - 43*y**2 + 23*y. Let w(c) = -20*c**4 - c**3 + c. Let x(l) = 3*t(l) + 21*w(l). Factor x(d).
-3*d*(d - 10)*(d - 3)*(d - 1)
Let u = -3977 + 3992. Let z(m) be the second derivative of 0*m**2 - u*m - 3/4*m**4 + 0 + m**3 + 3/20*m**5. Suppose z(p) = 0. What is p?
0, 1, 2
Let o be 80/12*123 - 2/1. Factor -58*d + o*d**2 - 56 + 825*d**2 - 1645*d**2.
-2*(d + 1)*(d + 28)
Factor -1/7*b**2 - 20/7*b + 3.
-(b - 1)*(b + 21)/7
Let j = -232 - -234. Factor -9*x**2 + 6*x**2 + 4*x**j + 14 - 9*x.
(x - 7)*(x - 2)
Suppose -d + 23 = -2. Find w, given that 221 + d*w**4 + 10*w**5 + 10*w**3 - 104 - 117 = 0.
-2, -1/2, 0
Let j(r) be the second derivative of 9/2*r**3 - 100*r + 0 + 1/20*r**5 - 3/4*r**4 - 27/2*r**2. Factor j(m).
(m - 3)**3
Let r(n) = -2*n**3 - 294*n**2 - 606*n - 298. Let h(o) = -4*o**3 - 592*o**2 - 1214*o - 598. Let w(y) = 4*h(y) - 7*r(y). Factor w(s).
-2*(s + 1)**2*(s + 153)
Let r = -451099/7 + 64444. Factor -3/7*j**2 - r*j - 6/7.
-3*(j + 1)*(j + 2)/7
Let t(x) = 8*x**2 + x - 250. Let n(i) = -5*i**2 + 152. Let s(v) = 5*n(v) + 3*t(v). Factor s(z).
-(z - 5)*(z + 2)
Let n(b) be the second derivative of -3*b**5/100 - 81*b**4/20 - 3*b - 502. Factor n(s).
-3*s**2*(s + 81)/5
Suppose -118 = -19*l - 2 - 40. Let u(v) be the first derivative of 1/8*v**6 - 42 + 0*v - 3/20*v**5 + 0*v**l + 0*v**2 + 0*v**3. Solve u(t) = 0.
0, 1
Let j(i) be the first derivative of 0*i - 142 + 5/3*i**3 + 15*i**2. Factor j(c).
5*c*(c + 6)
Let f = -591 - -5321/9. Let y(l) be the second derivative of 0 + 10*l - 1/9*l**4 + 0*l**2 + f*l**3. Factor y(n).
-4*n*(n - 1)/3
Let a = -228133 + 228134. Determine f so that a + 1/4*f**3 - f - 1/4*f**2 = 0.
-2, 1, 2
Let c(r) be the third derivative of -5*r**8/16 - 169*r**7/42 - 149*r**6/8 - 383*r**5/12 + 5*r**4 + 30*r**3 + 1148*r**2 - 3. Suppose c(q) = 0. Calculate q.
-3, -2, -1/3, 2/7
Suppose 118/7*i + 0 - 2/7*i**3 + 116/7*i**2 = 0. What is i?
-1, 0, 59
Let x be 1*5 + (-4 + 2419)/15. Let s be (-90)/(-225)*(-2 - x/(-8)). Factor -10*f**3 + s*f + 0 + 20*f**2 - 40*f**4.
-5*f*(2*f + 1)**2*(4*f - 3)/2
Let q(c) = -519*c + 1594. Let b be q(3). Let v(w) be the first derivative of b + 40/7*w**3 - 1/7*w**4 - 600/7*w**2 + 4000/7*w. Factor v(g).
-4*(g - 10)**3/7
Let v be 12/14 - (-191539)/(-226100). Let k(t) be the third derivative of 0 - 1/20*t**4 + 3/10*t**3 - 22*t**2 - v*t**5 + 0*t. Solve k(a) = 0 for a.
-3, 1
Let g = -273 + 320. Find k, given that 153*k**5 - g*k**5 - 51*k**5 + 2*k - 4*k**3 + 2*k**4 - 4*k**2 + 2 - 53*k**5 = 0.
-1, 1
Factor 5618 + 10242*p - 6112*p - 17269*p + 44*p**3 - 53*p**3 + 956*p**2 - 12354*p.
-(p - 53)**2*(9*p - 2)
Solve -1/3*r**2 - 137/3*r - 262 = 0 for r.
-131, -6
Let z(m) be the third derivative of -m**5/15 + m**4 - 14*m**3/3 + 49*m**2. Let y(x) = 6*x**2 - 47*x + 55. Let n(b) = 4*y(b) + 7*z(b). What is t in n(t) = 0?
-6, 1
Let i(d) be the third derivative of -d**6/300 + 17*d**5/150 - 11*d**4/15 + 28*d**3/15 - 49*d**2 - 13*d - 2. Find a, given that i(a) = 0.
1, 2, 14
Let y(a) be the third derivative of a**7/168 + 23*a**6/96 + 25*a**5/8 + 445*a**4/24 + 175*a**3/3 - 3830*a**2. What is i in y(i) = 0?
-14, -5, -2
Let w(c) be the second derivative of -c**6/45 - c**5/5 - 2*c**4/3 - 10*c**3/9 - c**2 - 8*c - 2. Factor w(t).
-2*(t + 1)**3*(t + 3)/3
Let v(y) be the second derivative of y**7/252 - 5*y**6/18 - 25*y**5/6 + 3125*y**4/9 + 100000*y**3/9 + 400000*y**2/3 - 1612*y. Solve v(l) = 0.
-10, 40
Let t(y) = -10*y**2 + 2062*y - 264193. Let k(b) = 2*b**2 - 2*b - 1. Let d(z) = 3*k(z) + t(z). Factor d(c).
-4*(c - 257)**2
Let y be (-175)/10*(-36)/42. Suppose -7*i + 6 + y = 0. Factor -1/5*p**2 + 4/5 + 1/5*p**i - 4/5*p.
(p - 2)*(p - 1