**3 + 17/6*d + 2/3 + 4/3*d**4 + 1/6*d**5 + 14/3*d**2 = 0 for d.
-4, -1
Let p(k) be the first derivative of -2*k**3/33 + 104*k**2/11 - 5408*k/11 - 125. Factor p(b).
-2*(b - 52)**2/11
Let s(j) be the third derivative of j**7/350 + 7*j**6/200 + j**5/10 - 59*j**2. Find n such that s(n) = 0.
-5, -2, 0
Let t(o) be the first derivative of -1/3*o**6 - 50*o + 22/5*o**5 + 35*o**2 + 28/3*o**3 - 39 - 17*o**4. Let t(i) = 0. Calculate i.
-1, 1, 5
Let f(l) be the second derivative of 11*l**4/4 - l**3/14 - 9*l**2/7 + 13*l + 15. Suppose f(k) = 0. Calculate k.
-3/11, 2/7
Let k be -2*(14721/36)/7. Let v = k - -117. Factor 0 + 0*t**2 - 1/6*t + v*t**3.
t*(t - 1)*(t + 1)/6
Suppose 0 = 12*b - 70 - 2. Suppose 0 = -b*t + 3*t - 4*k + 10, -5*t = 2*k - 12. Factor -4/7*y**t + 2/7*y**4 + 0 + 0*y - 2/7*y**3.
2*y**2*(y - 2)*(y + 1)/7
Let p(y) be the third derivative of 5/6*y**4 + 0 - 10*y**2 - 10/3*y**3 + 0*y - 1/12*y**5. Factor p(w).
-5*(w - 2)**2
Determine z, given that 0 + 0*z + 1/7*z**4 + 1/7*z**3 + 0*z**2 = 0.
-1, 0
Let k be 54/(-108)*0/(-1). Factor 0*q + k + 2/5*q**2.
2*q**2/5
Suppose 4*n - 12 = 0, -3*o + o - 3*n + 19 = 0. Suppose 3/2*a**o + 0 + 3*a**2 + 0*a + 6*a**4 + 15/2*a**3 = 0. Calculate a.
-2, -1, 0
Determine x, given that -24400 + 24400 - x**4 - x**5 = 0.
-1, 0
Let t(z) be the second derivative of -5/24*z**3 + 0 + 0*z**2 + 50*z - 1/48*z**4. Let t(v) = 0. What is v?
-5, 0
Suppose -z - 15 = -4*x, 4 = -3*x + 2*z + 19. Let l = 3536 + -3534. Find t such that -8/5*t - 8/5 + 2/5*t**l + 2/5*t**x = 0.
-2, -1, 2
Let d(q) = q**5 + q**4 - q**3 + q**2 + q - 1. Let n(b) = 24*b**5 - 10*b**4 + 106*b**3 + 22*b**2 + 22*b - 22. Let k(g) = -44*d(g) + 2*n(g). Factor k(m).
4*m**3*(m - 8)**2
Let p(b) be the second derivative of -1/2*b**3 + 1/8*b**4 + 0 - 16*b - 1/80*b**5 + b**2. Factor p(m).
-(m - 2)**3/4
Let c(y) = -27*y**3 - 618*y**2 + 429*y - 68. Let v(k) = -54*k**3 - 1233*k**2 + 858*k - 135. Let p(a) = -9*c(a) + 4*v(a). Factor p(s).
3*(s + 24)*(3*s - 1)**2
Let q(c) = 7*c**5 + 50*c**4 - 17*c**3 + 5*c + 5. Let d(x) = x**5 - x**4 + x**3 - x - 1. Let f = 6 + -7. Let i(o) = f*q(o) - 5*d(o). Suppose i(n) = 0. What is n?
-4, 0, 1/4
Let v be ((-5)/(-3) + -2)*-6. Suppose 22*r - 31 - 35 = 0. Find i, given that v - 1/4*i**3 - r*i + 3/2*i**2 = 0.
2
Let c(s) be the second derivative of -s**6/72 + s**5/3 - 10*s**4/3 - 4*s**3/3 + 4*s. Let v(d) be the second derivative of c(d). Suppose v(h) = 0. Calculate h.
4
Factor 0*p**2 + 6/5*p - 3/5 - 6/5*p**3 + 3/5*p**4.
3*(p - 1)**3*(p + 1)/5
Suppose 2*h = -3*x + 16, -2 = 3*h - 0*x - 2*x. Factor -12 - 32*a + 12*a + 12*a + 6*a**h - 2*a**2.
4*(a - 3)*(a + 1)
Let z(r) be the first derivative of 1/4*r**4 + 1/24*r**6 + 0*r + 14 + 1/5*r**5 + 0*r**2 + 0*r**3. Factor z(a).
a**3*(a + 2)**2/4
Let q(x) = -x. Let z(v) be the second derivative of 0 - 27/2*v**2 - 1/4*v**4 + 23/6*v**3 - 4*v. Let u(o) = -5*q(o) - z(o). Determine i so that u(i) = 0.
3
Factor -17 + 52*b - b**2 - 17*b**2 - 4*b**3 - 11 - 2*b**2.
-4*(b - 1)**2*(b + 7)
Let w(z) = -13*z - 12. Let g be w(-3). Let k(n) = n**2 - 25*n - 50. Let a be k(g). Factor -3/7*r**a - 36/7*r**2 + 30/7*r - 9/7 + 18/7*r**3.
-3*(r - 3)*(r - 1)**3/7
Suppose 4*r = 35*r - 155. Let q(l) be the second derivative of 4/3*l**3 - 2/5*l**r + 0 + 1/15*l**6 - 4*l**2 + 1/2*l**4 + 3*l. Factor q(s).
2*(s - 2)**2*(s - 1)*(s + 1)
Let m = -21409/5 + 4282. Suppose f + 5 = 5*c, -2*c = -2*f - 0*f - 2. Factor f*i**2 + 3/5*i - m*i**3 + 2/5.
-(i - 2)*(i + 1)**2/5
Let f be 14/6*(-78)/(-546). Let y(w) be the first derivative of -w**2 + 0*w + 11 + f*w**3. Find r such that y(r) = 0.
0, 2
Suppose -3*v + 2*t = -7*v - 2, -18 = v + 4*t. Let u(k) be the third derivative of 8/15*k**3 + 0*k - 2*k**v - 1/15*k**5 + 0 + 4/15*k**4. Factor u(i).
-4*(i - 2)*(5*i + 2)/5
Solve -249 + 2*w**5 - 46 - 326*w + 40*w**4 - 242*w - 116*w**2 + 12*w**4 + 134*w**3 - 73 = 0.
-23, -2, -1, 2
Let i(x) be the third derivative of -121*x**7/3360 + 77*x**6/1440 + x**5/12 + x**4/24 + 4*x**3 + x**2. Let h(v) be the first derivative of i(v). Factor h(k).
-(k - 1)*(11*k + 2)**2/4
Let 5*r**3 + 0*r**4 - 1230*r**5 + 3*r**3 + 1231*r**5 - 4*r**2 + 0*r**2 - 5*r**4 = 0. What is r?
0, 1, 2
Let q(b) be the first derivative of b**5/15 - b**4/4 - b**3/9 + b**2/2 - 372. Solve q(g) = 0.
-1, 0, 1, 3
Let o = 1245 - 6189/5. Factor -96/5*u - 64/5 - 4/5*u**3 - o*u**2.
-4*(u + 1)*(u + 4)**2/5
Let p = 61 - 181/3. Let o(j) be the first derivative of 1/4*j**4 + 0*j + 1/18*j**6 + 4/15*j**5 - 3 - p*j**2 - 4/9*j**3. What is n in o(n) = 0?
-2, -1, 0, 1
Let f(g) = 7*g**3 - 13*g**2 + 47*g + 49. Let t(q) = -15*q**3 + 26*q**2 - 96*q - 98. Let s(v) = 13*f(v) + 6*t(v). Factor s(p).
(p - 7)**2*(p + 1)
Let z(l) = 113*l + 680. Let d be z(-6). Factor 10/3*w + 25/3 + 1/3*w**d.
(w + 5)**2/3
Let k(d) be the first derivative of -2*d**3/27 + 11*d**2/9 - 20*d/3 - 560. Determine w so that k(w) = 0.
5, 6
Suppose -3*k + 12 = -5*q, -24*k + 22*k = 2*q - 8. Let r(p) be the first derivative of 0*p**2 - 2 + 0*p + 3/4*p**k - 2/3*p**3 + p**5. What is j in r(j) = 0?
-1, 0, 2/5
Let h be 1/((-10)/(-12)) - (33 + -32). Let x(m) be the first derivative of -2 - h*m**4 - 4/5*m**2 - 2/3*m**3 - 2/5*m. Factor x(d).
-2*(d + 1)**2*(2*d + 1)/5
Suppose -p - 4*h - 4 = -5*h, 2*p - 4*h = -8. Let l be (60/(-45))/(p/6). Determine x, given that -2*x**3 + 2 + 2 - 4*x - 6 - 6*x**l - 2*x = 0.
-1
Let g(o) = -15*o**2 + 15*o + 5. Let r = -29 - -34. Let v(n) = -8*n**2 + 7*n + 3. Let p(h) = r*v(h) - 3*g(h). Factor p(u).
5*u*(u - 2)
Let o = 517 + -517. Determine r, given that 4/9*r + 8/9*r**3 + o - 2/9*r**4 - 10/9*r**2 = 0.
0, 1, 2
Let q(r) be the second derivative of -r**5/5 - 46*r**4/3 - 30*r**3 - 301*r. Factor q(v).
-4*v*(v + 1)*(v + 45)
Let n = -22 + -15. Let d = n - -51. Suppose -24*j**3 + 4*j**5 - 6*j**5 + d*j**2 + 2*j**2 + 12*j**4 = 0. What is j?
0, 2
Suppose -11*i = -9*i. Let d(a) be the third derivative of 0*a - 2*a**2 + 3/8*a**3 + 1/240*a**5 + 1/16*a**4 + i. Factor d(r).
(r + 3)**2/4
Let g be 18*(-4)/64*5/(-15). Factor -3/4 - g*z**2 + 9/8*z.
-3*(z - 2)*(z - 1)/8
Let w(f) be the second derivative of -5*f**7/28 + 83*f**6/12 - 103*f**5/4 + 125*f**4/4 + 5*f**3/12 - 125*f**2/4 - 2*f + 219. Solve w(m) = 0.
-1/3, 1, 25
Let z(o) be the first derivative of o**4/8 + o**3/2 + o**2/2 - 2. Factor z(p).
p*(p + 1)*(p + 2)/2
Let w(v) = -v**2 - 8*v + 3. Let n be w(-7). Suppose 0 = 3*b - b - n. Factor 4*d**2 - b*d**2 + 0*d**2.
-d**2
Let k(g) be the third derivative of g**9/141120 - g**8/15680 + g**7/5880 - 7*g**5/60 - 11*g**2. Let h(v) be the third derivative of k(v). Factor h(u).
3*u*(u - 2)*(u - 1)/7
Find g, given that -1800*g - g**2 - g**2 + 1878*g + 3*g**2 + 2*g**2 = 0.
-26, 0
Let l = 2259 + -2256. Factor 2/5*v**2 + 0*v - 4/5*v**l + 2/5*v**4 + 0.
2*v**2*(v - 1)**2/5
Let p be -5 + 144/(-138) + 6. Let w = 51/115 + p. Solve -3/5*s - 1/5*s**2 - w = 0 for s.
-2, -1
Let s(w) = 15*w**2 - 31*w + 256. Let u(p) = 4*p**2 - 10*p + 86. Let b(v) = 4*s(v) - 14*u(v). Factor b(k).
4*(k - 5)*(k + 9)
Let n(f) be the second derivative of f**5/100 + 3*f**4/40 - 15*f**2/2 - 18*f. Let r(b) be the first derivative of n(b). Factor r(v).
3*v*(v + 3)/5
Suppose 0 = 28*b - 45*b. Let d(o) be the third derivative of 1/4*o**5 - 6*o**2 + 1/40*o**6 + 0*o - 9/2*o**3 + 3/8*o**4 + b. Solve d(y) = 0 for y.
-3, 1
Let o(q) = -5*q**2 + 512*q - 32768. Let d(s) = 6*s**2 - 512*s + 32768. Let p(l) = 3*d(l) + 4*o(l). Factor p(z).
-2*(z - 128)**2
Let b(h) = -2*h**2 - 74*h + 144. Let c(l) = l**2 - l. Let f(t) = b(t) + 6*c(t). Factor f(s).
4*(s - 18)*(s - 2)
Let n(u) be the third derivative of -u**6/960 - 3*u**5/160 - u**4/32 + u**3/3 + 28*u**2 + 6. Solve n(m) = 0 for m.
-8, -2, 1
Let m(w) be the third derivative of -w**5/360 + w**4/4 - 2*w**2 + 280. Factor m(d).
-d*(d - 36)/6
Let a = -302 - -204. Let f = -96 - a. Solve -1/3 + 1/3*g**4 + 7/6*g - 1/6*g**5 + 1/3*g**3 - 4/3*g**f = 0 for g.
-2, 1
Suppose -142*k + 370 + 56 = 0. Factor -1/3*i**2 + 0 + 1/6*i**k + 1/6*i.
i*(i - 1)**2/6
Let a(s) be the third derivative of 1/105*s**7 + 0 - 1/15*s**5 + 0*s**3 - 1/8*s**4 + 1/24*s**6 - 7*s**2 - 2*s. Factor a(v).
v*(v - 1)*(v + 3)*(2*v + 1)
Suppose 179 + 91 = -30*z. Let v be z/(-2) + 21/(-7). Suppose -11/2*f**2 - 11/2*f - v - 1/2*f**3 + f**4 = 0. What is f?
-1, -1/2, 3
Let 2*a**5 - 134*a - 59*a**4 - 11*a**4 + 66 + 132*a**3 + 41*a**2 - 