 + 16/3*n**3 + n**4 - 56*n**2 - 152. Solve p(d) = 0.
-8, 2
Let g be 3/25 + 64165/117375. Solve 0 + 1/3*h + 1/3*h**3 - g*h**2 = 0 for h.
0, 1
Let c(m) = -m**3 + 18*m**2 - 15*m - 9. Let d be c(17). Let w = 28 - d. Factor -12*z + 4*z + 4*z - z**w + 5*z.
-z*(z - 1)*(z + 1)
Factor 4/5*z + 316/5*z**2 - 1/5*z**3 - 1264/5.
-(z - 316)*(z - 2)*(z + 2)/5
Let b(a) be the third derivative of -a**7/12600 - 2*a**6/225 - 32*a**5/75 - 15*a**4/4 - 33*a**2 + 2*a. Let x(d) be the second derivative of b(d). Factor x(o).
-(o + 16)**2/5
Let l(m) be the third derivative of -28*m**2 - 6/13*m**3 + 0*m - 7/156*m**4 + 0 + 1/390*m**5. Factor l(a).
2*(a - 9)*(a + 2)/13
Let d be (-96)/(-36)*((-93)/(-56) - 168/448). Determine i so that -64/7*i**3 - 8*i**2 - 4/7 - d*i - 36/7*i**4 - 8/7*i**5 = 0.
-1, -1/2
Let w(f) = f**3 - 14*f**2 - 16*f + 28. Let z be w(15). Suppose -47 - z = -30*t. Let 2/7*k**3 + 10/7*k - 8/7*k**t - 4/7 = 0. What is k?
1, 2
Let z be ((-1694)/(-770))/((-2)/(-20)*2) + -9. Find h, given that 7/2 - 9*h - 93/8*h**z + 7/8*h**3 = 0.
-1, 2/7, 14
Let q = -122 - -127. Factor 3*s**5 + 4*s**4 - 12*s**q + 7*s**5.
-2*s**4*(s - 2)
Let l(o) = -17*o**4 - 40*o**3 + 26*o**2 + 142*o. Let k(i) = 2*i**4 - i**2 + 3*i. Let p(r) = 6*k(r) + l(r). Factor p(h).
-5*h*(h - 2)*(h + 2)*(h + 8)
Let y(l) be the first derivative of 2*l**5/25 + 57*l**4/2 + 39748*l**3/15 - 61632*l**2/5 + 82944*l/5 - 1331. Let y(u) = 0. Calculate u.
-144, 1, 2
Suppose 63/5*w**2 + 0 + 58*w + 1/5*w**3 = 0. Calculate w.
-58, -5, 0
Let w(z) = z**3 - z**2 + z + 1. Let x = -767 + 777. Let c(s) = 6*s**3 - 17*s**2 + 50*s - 45. Let i(m) = x*w(m) - 2*c(m). Factor i(p).
-2*(p - 5)**2*(p - 2)
Let k(i) be the third derivative of -1/4*i**5 - 7/480*i**6 - 4 - 7/6*i**3 - 27/32*i**4 - 3*i**2 + 0*i. What is d in k(d) = 0?
-7, -1, -4/7
Let j = -7104 + 113669/16. Let c(i) be the first derivative of -j*i**4 - 31 - 1/4*i**3 + 9/8*i**2 - 1/20*i**5 + 0*i. Suppose c(s) = 0. What is s?
-3, 0, 1
Suppose -5*p = 5*z - 395, 3*z - 392 = -5*p + z. Let d = p + -73. What is q in 16*q + 107*q**5 + 0*q**5 - 112*q**2 - 280*q**4 + 276*q**3 - 7*q**d = 0?
0, 2/5, 1
Let m(s) be the third derivative of -s**7/1470 + s**6/840 + 2*s**5/105 - s**4/14 - 652*s**2. Determine d, given that m(d) = 0.
-3, 0, 2
Let y be (0 + (-3)/6)*-24. Let r be y - ((-8)/(-5))/((-6)/15). Factor r + 8*q + 2*q**2 - 30*q + 7*q + 3*q.
2*(q - 4)*(q - 2)
Suppose -2*r + 2*g = 16 - 30, -2*r = -3*g - 18. Factor -46*j**3 + 3*j**4 - 64*j**2 + 10*j**r + 25*j**2.
3*j**2*(j - 13)*(j + 1)
Let i = -658 + 672. Let a be (-4)/22 - i/(-77). Determine c so that 0 + a*c**2 + 0*c**4 + 0*c + 0*c**3 - 1/4*c**5 = 0.
0
Let t(o) be the third derivative of o**8/8400 - o**7/840 + o**6/225 - o**5/150 - 25*o**3/3 - 2*o**2 + 2. Let p(l) be the first derivative of t(l). Factor p(b).
b*(b - 2)**2*(b - 1)/5
Let s(b) be the third derivative of b**6/60 - 11*b**5/30 - b**4 + 5*b**2 + 35*b. Factor s(o).
2*o*(o - 12)*(o + 1)
Let j(y) = -y**2 + 12*y. Let i(s) = 4*s**2 - 369*s + 1044. Let b(c) = -i(c) - j(c). Factor b(q).
-3*(q - 116)*(q - 3)
Let o(i) = -10*i**2 + 585*i - 17385. Let m(a) = 11*a**2 - 584*a + 17381. Let y(t) = 5*m(t) + 6*o(t). Factor y(w).
-5*(w - 59)**2
Let a(m) be the second derivative of -5*m**4/6 - 233*m**3/3 + 94*m**2 - 2333*m. Let a(o) = 0. What is o?
-47, 2/5
Factor -3*o**3 - 310*o - 463 + 138*o**2 + 841 - 203*o.
-3*(o - 42)*(o - 3)*(o - 1)
Suppose -2*z - 120 + 24 = -5*j, 3*z = 4*j - 74. Let n be ((-3)/5)/(2/(-10)). Find t such that -t**5 - j - 14*t**n + 16*t**2 + 6*t**4 + 9 + 13 - 9*t = 0.
1, 2
Let i(h) be the third derivative of 7*h**6/9 - 22*h**5/15 + 3*h**4/4 + 2*h**3/9 - 98*h**2 + 3. Factor i(x).
2*(2*x - 1)**2*(35*x + 2)/3
Suppose -483*j - 243 + 1160 = -1604 - 1826. Let k be (-2)/(-3) + (-1)/6. Factor -54*m - k*m**3 + 108 + j*m**2.
-(m - 6)**3/2
Let f(t) be the first derivative of t**5/20 + 5*t**4/6 + 17*t**3/6 + 4*t**2 + 41*t + 70. Let a(l) be the first derivative of f(l). Solve a(m) = 0 for m.
-8, -1
Let w be (-10)/20 + (-55)/(-10). Determine a, given that a + 2*a**2 - 9*a**4 - 2*a - a**2 - w*a + 54*a**3 = 0.
-1/3, 0, 1/3, 6
What is n in 1/5*n**5 + 0 + 0*n + 0*n**2 + 0*n**3 - 5*n**4 = 0?
0, 25
Let b = -12629 - -1894351/150. Let i(m) be the second derivative of b*m**6 - 10*m - 1/210*m**7 + 1/100*m**5 - 1/60*m**4 + 0*m**2 + 0 + 0*m**3. Factor i(a).
-a**2*(a - 1)**2*(a + 1)/5
Suppose -11 = -2*r - 3. Suppose -7*f + 10 = -r. Factor 5*c + 64*c**f - 69*c**2 + 15*c.
-5*c*(c - 4)
Factor 0 - 8/5*k + 1/5*k**2.
k*(k - 8)/5
Let 8*r + 8*r + 43*r**2 + 557 - 725 - 41*r**2 = 0. What is r?
-14, 6
Let u = -35 + 37. Factor -9*g**2 - 7*g**u - 104*g + 2*g**3 + 3*g**2 + 110*g.
g*(g - 6)*(2*g - 1)
Let v = 228 + -226. What is p in -10*p**2 + 50*p + 5*p**2 + 9*p**v + p**2 + 45 = 0?
-9, -1
Let l(r) be the first derivative of -r**4 + 52*r**3/3 - 88*r**2 + 128*r + 2747. Let l(v) = 0. Calculate v.
1, 4, 8
Solve -8/7*i**5 - 1096/7*i - 172/7*i**2 + 754/7*i**3 + 272/7 + 250/7*i**4 = 0 for i.
-2, 1/4, 1, 34
Let q(v) be the first derivative of -v**6/90 - v**5/5 + v**4/18 + 2*v**3 + 179*v**2/2 - 49. Let d(k) be the second derivative of q(k). Factor d(i).
-4*(i - 1)*(i + 1)*(i + 9)/3
Suppose 0 = -668*s + 1048 + 956. Let 1/2*d**4 + 2*d + 5/2*d**s + 0 + 4*d**2 = 0. Calculate d.
-2, -1, 0
Let c(p) be the first derivative of -p**4/4 - 3*p**3 + 33*p**2 - 56*p - 742. Suppose c(h) = 0. What is h?
-14, 1, 4
Let m be ((-39)/(-3) - 5) + -20. Let o be ((-3)/20)/(m/16). Factor o*p**2 + 0 - 2/5*p.
p*(p - 2)/5
Factor 36544 + 2890*t + 238*t**2 + 2*t**4 - 42*t**3 - 18274 - 18270 - 16*t**3.
2*t*(t - 17)**2*(t + 5)
Solve 386*a - 332/3 + 14/3*a**2 = 0.
-83, 2/7
Let f be (-49 - (-1666)/34)*-1. Factor 0*c - 1/8*c**4 + f - c**2 - 9/8*c**3.
-c**2*(c + 1)*(c + 8)/8
Let f = -389286 + 389288. Suppose -6/7*r**f + 0 + 0*r - 4/7*r**3 + 2/7*r**4 = 0. Calculate r.
-1, 0, 3
Let v = 2048 + -2043. Let j(k) = 4*k - 2. Let u be j(1). Suppose -3*s**u - 1/3*s**3 + 25/3 - v*s = 0. What is s?
-5, 1
Let a = 18707 - 18705. Let i(o) be the first derivative of 0*o**a + 4/15*o**3 + 12 + 0*o. What is t in i(t) = 0?
0
Let r = 139162/248325 + -4/9933. Factor 2/25 - 2/5*j - 6/25*j**3 + r*j**2.
-2*(j - 1)**2*(3*j - 1)/25
Suppose -8*u = 87*u + 41*u - 6120. Let d(n) be the third derivative of u*n**2 - 1/12*n**5 + 1/24*n**6 + 0 - 5/24*n**4 + 1/42*n**7 + 0*n**3 + 0*n. Factor d(v).
5*v*(v - 1)*(v + 1)**2
Let a(z) = -16*z**3 - 59*z**2 - 176*z + 11. Let g(f) = -3*f**3 - 12*f**2 - 35*f + 2. Let r(l) = -4*a(l) + 22*g(l). Factor r(o).
-2*o*(o + 3)*(o + 11)
Let 76/5*a - 8/5*a**2 + 132/5 = 0. What is a?
-3/2, 11
Suppose -19*r = 4248 - 4286. What is i in 0*i + 0 - 4*i**r + 2/3*i**4 - 10/3*i**3 = 0?
-1, 0, 6
Let l(w) be the third derivative of -1/350*w**7 - 141/100*w**5 - 98/5*w**3 + 0 - 10*w**2 + 91/10*w**4 - 13/100*w**6 + 0*w. Factor l(g).
-3*(g - 1)**2*(g + 14)**2/5
Suppose -3*x - 217 + 199 = 3*c, -5*c - 30 = 4*x. Let w(q) be the second derivative of q**3 - 1/8*q**4 + x - 9/4*q**2 - 6*q. Determine n so that w(n) = 0.
1, 3
Suppose 11*p + 5177 = 161. Let n = p - -917/2. Solve -1 + 1/2*o**3 - 2*o**2 + n*o = 0 for o.
1, 2
Factor -4/3*d + 5*d**3 - 28/3*d**2 + 0.
d*(d - 2)*(15*d + 2)/3
Factor -312*b + 102 + 82 + 136*b**2 - 3*b**3 + 20 - 25*b**2.
-3*(b - 34)*(b - 2)*(b - 1)
Let p be -2 + (0 - 388/(-4)). Let a be ((-38)/p)/(4/(-6)). Factor 6/5 - 6/5*q**2 + a*q**5 - 12/5*q**3 + 0*q**4 + 9/5*q.
3*(q - 2)*(q - 1)*(q + 1)**3/5
Let r(y) be the first derivative of -4*y**7/21 + 62*y**6/15 - 43*y**5/5 + 14*y**4/3 + 56*y - 21. Let h(z) be the first derivative of r(z). Solve h(a) = 0.
0, 1/2, 1, 14
Let s(n) be the third derivative of -n**4/24 + n**3/3 + 29*n**2. Let t be s(-2). Find r such that -6 + 4*r**4 - 2 + 114*r**2 - 126*r**2 + t*r**3 - 20*r = 0.
-1, 2
Let n(l) be the third derivative of -l**5/10 - 7*l**4/36 + 2*l**3/9 - 205*l**2 - 2. Factor n(a).
-2*(a + 1)*(9*a - 2)/3
Let v(b) be the third derivative of -35*b**8/48 - 38*b**7 - 88*b**6/3 + 1564*b**5/3 + 750*b**4 + 1280*b**3/3 - 56*b**2 - 25. What is n in v(n) = 0?
-32, -2, -2/7, 2
Let v(k) be the first derivative of k**3/3 - 1810*k**2 + 3276100*k + 2457. Factor v(f).
(f - 1810)**2
Let q(r) be the third derivative of -48*r - 7/24*r**4 - 3*r**3 + 0 + 1/60*r**5 - 2*r**2. Factor q(k).
(k - 9)*(k + 2)
Let p(u) = 6*u**3 + 5*u**2 - 10*u + 42. Let o b