2 + 116*w - 71. Let g(n) = 4*b(n) - 3*u(n). Factor g(y).
-3*(y - 1)**2*(y + 5)**2
Let b(m) be the third derivative of 125*m**8/336 - 20*m**7/7 - 191*m**6/24 + 9*m**5/2 + 95*m**4/6 - 20*m**3 + 176*m**2. Determine s so that b(s) = 0.
-1, 2/5, 6
Let o(h) be the third derivative of -3*h**7/70 + 11*h**6/40 - 3*h**5/5 + h**4/2 - 8*h**2 - 6. Factor o(u).
-3*u*(u - 2)*(u - 1)*(3*u - 2)
Let t(u) = 40*u**2 - 45. Suppose -5*r + 30 = 55. Let o(v) = -v**2 - v + 1. Let g(f) = r*o(f) - t(f). Factor g(n).
-5*(n + 1)*(7*n - 8)
Let x(s) = s**3 - 14*s**2 - 17*s + 29. Let n be x(15). Let a be (21/14*-2)/n. Factor 1/6*b**4 - 1/6*b**2 + 1/6*b**a - 1/6*b + 0.
b*(b - 1)*(b + 1)**2/6
Let g(c) = 3*c**2 - 5*c + 5. Let u be g(1). Let j be 2/(-10)*(-225)/6. Factor j*q**2 + 1/2*q - 1 + 7/2*q**4 + 19/2*q**u.
(q + 1)**3*(7*q - 2)/2
Suppose 2*r - k - 9 = 0, -3*k = r - 2*r - 3. Factor -5*o**3 - 45*o**2 - 114*o - 22 - 78 - r*o.
-5*(o + 2)**2*(o + 5)
Suppose -12*v = 93 - 117. Factor -96/7*w**v - 256/7 - 256/7*w - 16/7*w**3 - 1/7*w**4.
-(w + 4)**4/7
Let a = -659 + 4617/7. Factor -4/7*p**4 + a*p**2 - 2/7*p + 0*p**3 + 0 + 2/7*p**5.
2*p*(p - 1)**3*(p + 1)/7
Suppose -24/11 - 82/11*s**3 + 102/11*s**4 + 18/11*s**5 - 160/11*s - 302/11*s**2 = 0. Calculate s.
-6, -1, -1/3, 2
Let u(s) be the second derivative of s**6/225 - s**5/30 + s**4/30 + s**3/5 - 233*s. Factor u(c).
2*c*(c - 3)**2*(c + 1)/15
Let l(r) be the third derivative of r**5/4 + 935*r**4/24 - 105*r**3 - 543*r**2. Find i, given that l(i) = 0.
-63, 2/3
Let v(z) be the second derivative of z**5/100 - z**4/12 - z**3/5 + 766*z. Factor v(n).
n*(n - 6)*(n + 1)/5
Let g(v) be the third derivative of 0 - 15*v**2 + 0*v - 3/16*v**4 + 0*v**5 + 1/80*v**6 - 1/2*v**3. Factor g(y).
3*(y - 2)*(y + 1)**2/2
Solve 22/7*v**5 + 40/7*v**2 + 0 - 40/7*v**4 + 8/7*v - 30/7*v**3 = 0 for v.
-1, -2/11, 0, 1, 2
Let g(j) be the third derivative of 1/66*j**4 + 1/1155*j**7 + 0*j - 1/330*j**6 - 1/33*j**3 + 11*j**2 + 0*j**5 + 0. Factor g(c).
2*(c - 1)**3*(c + 1)/11
Let w(h) be the second derivative of h**7/1155 + h**6/396 + h**5/660 - h**3/6 + 6*h. Let j(i) be the second derivative of w(i). Let j(p) = 0. What is p?
-1, -1/4, 0
Determine s, given that 5046/5*s - 174/5*s**2 - 48778/5 + 2/5*s**3 = 0.
29
Let x(d) be the second derivative of 1/120*d**5 - 1/3*d**2 + 1/24*d**4 + 0 + 3*d + 0*d**3. Solve x(k) = 0.
-2, 1
Let i = 2560 - 5117/2. Solve -3/2*a**3 - i*a**2 + 3*a + 0 = 0.
-2, 0, 1
Find z, given that 47/7 + 1/7*z**3 + 7*z**2 + 95/7*z = 0.
-47, -1
Let i(v) be the second derivative of v**9/13608 - v**8/1890 + v**7/756 - v**6/810 - 3*v**3/2 - 6*v. Let m(l) be the second derivative of i(l). Factor m(t).
2*t**2*(t - 2)*(t - 1)**2/9
Let h(r) be the first derivative of 3*r**5/5 - 3*r**4 - 19*r**3 + 69*r**2 - 72*r + 228. Find v, given that h(v) = 0.
-4, 1, 6
Let m(d) be the first derivative of 3*d**6/20 + 2*d**5/5 + 5*d**4/24 - d**3/6 - 14*d + 5. Let t(q) be the first derivative of m(q). Factor t(s).
s*(s + 1)**2*(9*s - 2)/2
Let g(m) be the second derivative of 4*m**4/3 + 212*m**3/3 + 2809*m**2/2 - 3*m + 7. Factor g(f).
(4*f + 53)**2
Find y such that 173 + 123*y**2 - 119 - 297*y**2 + 21*y**3 - 141*y = 0.
-1, 2/7, 9
Let i(s) be the second derivative of -s**5/140 + 13*s**4/84 - 20*s**3/21 + 18*s**2/7 - 154*s. Factor i(x).
-(x - 9)*(x - 2)**2/7
Factor 126 - 86 + 6*q**3 + 7*q**3 + 210 + 75*q - 14*q**3.
-(q - 10)*(q + 5)**2
Suppose -1/5*h**3 + 81/5*h - 41/5 - 39/5*h**2 = 0. Calculate h.
-41, 1
Let k(y) be the second derivative of 0 - 13*y + 1/10*y**6 - 1/12*y**4 + 5/6*y**3 - y**2 - 1/4*y**5. Suppose k(j) = 0. Calculate j.
-1, 2/3, 1
Let d(m) = -6*m + 12. Let g be d(5). Let h be (g/(-56))/(51/272). Factor -27/7*u - h*u**2 - 6/7.
-3*(u + 2)*(4*u + 1)/7
Suppose 4*x + a - 20 = 0, 5*a - 4 = 16. Let 0*i + 8/5*i**3 - 4/5*i**x - 4/5*i**2 + 0 = 0. Calculate i.
0, 1
Let u(w) be the third derivative of w**6/30 - 23*w**5/15 + 40*w**4/3 - 152*w**3/3 + w**2 + 144*w. Let u(p) = 0. What is p?
2, 19
Let w(k) = -k**3 + 22*k**2 - 70*k - 33. Let j be w(18). Let -4/5*p**5 + 0 + 8/5*p - 4/5*p**j - 12/5*p**2 + 12/5*p**4 = 0. What is p?
-1, 0, 1, 2
Let s = 0 + -8. Let w = s - -10. Factor -4*r + 4*r**2 - r**w + 2 - r**2.
2*(r - 1)**2
Let k be (-1)/(-11) - (4655/627 - 18). Find t, given that 22/3*t**3 + 10/3*t**4 - k*t - 2*t**5 - 8/3 - 6*t**2 = 0.
-1, -1/3, 2
Let a = -7884 + 7888. Factor -15/7*v**3 + 18/7*v**2 + 3/7*v**a - 24/7 + 12/7*v.
3*(v - 2)**3*(v + 1)/7
Let w(v) be the second derivative of 1/40*v**5 - 1/48*v**4 + 0 - 1/12*v**3 + 1/120*v**6 + 0*v**2 + 12*v. Factor w(l).
l*(l - 1)*(l + 1)*(l + 2)/4
Factor -5*t**5 - 3*t**4 - 7*t**4 - 40*t**3 + 35*t**3.
-5*t**3*(t + 1)**2
Let m(w) = 11*w - 33. Let q be m(3). Suppose -5*h - 4 + 24 = q. Factor 0 - 2/7*d**h - 2/7*d**3 + 2/7*d**2 + 2/7*d.
-2*d*(d - 1)*(d + 1)**2/7
Let k(g) be the second derivative of -3*g**5/100 + 18*g**4/5 - 864*g**3/5 + 20736*g**2/5 - 26*g + 2. Find a such that k(a) = 0.
24
Let f(b) = b**2 - b - 3. Let d be f(3). Let h(r) be the second derivative of 2/15*r**3 - d*r + 1/30*r**4 + 1/5*r**2 + 0. Factor h(g).
2*(g + 1)**2/5
Let i(c) be the third derivative of c**8/2016 + c**7/630 - c**6/240 - c**5/45 - c**4/36 + 165*c**2 - c. Let i(a) = 0. Calculate a.
-2, -1, 0, 2
Let h(o) be the first derivative of o**4/6 + 74*o**3/9 - 38*o**2/3 + 860. Let h(n) = 0. What is n?
-38, 0, 1
Let -6*z**2 - 20*z + 52 - 33 + 4*z**2 + 5*z**2 - 2*z**2 = 0. Calculate z.
1, 19
Let o(m) be the third derivative of m**9/756 - m**7/210 + 2*m**3/3 + 6*m**2. Let d(y) be the first derivative of o(y). Find x, given that d(x) = 0.
-1, 0, 1
Let k(s) be the third derivative of s**6/72 - s**5/8 + s**3/3 - 13*s**2. Let b(p) be the first derivative of k(p). Factor b(j).
5*j*(j - 3)
Let i(p) be the third derivative of p**7/945 - p**6/108 - 7*p**2 + p. Factor i(z).
2*z**3*(z - 5)/9
Suppose -114*o + 112*o - 19 = 5*m, -2*o - 2*m - 4 = 0. Determine f so that -176/5*f**2 + 36*f**o - 12/5*f + 8/5 = 0.
-2/9, 1/5, 1
Let o(w) be the first derivative of -w**4/30 - w**3/15 + 6*w**2/5 - 45*w + 9. Let d(j) be the first derivative of o(j). Factor d(l).
-2*(l - 2)*(l + 3)/5
Let w be (1 + 12)/(-13) - 12/(-2). Let d(p) be the second derivative of 3/20*p**w - 3/50*p**6 + 0*p**2 - p - 1/20*p**4 + 0 - 1/10*p**3. What is n in d(n) = 0?
-1/3, 0, 1
Let n(w) be the third derivative of w**6/120 + w**5/40 - 2*w**3 + 16*w**2. Let j(d) be the first derivative of n(d). Solve j(r) = 0 for r.
-1, 0
Let j be 1*(-61)/(-2) + (-3)/(-2). Let y = -32 + j. Find k such that -1/2*k**3 + y + 1/2*k**5 + 0*k - k**4 + k**2 = 0.
-1, 0, 1, 2
Let t(o) be the second derivative of -o**6/40 + 9*o**5/40 - 3*o**4/4 + o**3 - 288*o. Factor t(b).
-3*b*(b - 2)**3/4
Let f(j) be the first derivative of -1/18*j**3 + 19 + 0*j - 1/12*j**2. What is n in f(n) = 0?
-1, 0
Let v(b) be the first derivative of 3/7*b**4 - 4/7*b**2 - 24/7*b + 2/35*b**5 + 6/7*b**3 - 6. Let v(s) = 0. What is s?
-3, -2, 1
Let s be -4*8/(-32) - (-318)/110. Let m = s - 14/5. Factor -6/11*a**2 + 2*a - m.
-2*(a - 3)*(3*a - 2)/11
Let i(r) be the first derivative of r**6/315 + r**5/210 - r**4/126 - r**3/63 - 10*r - 13. Let o(d) be the first derivative of i(d). Factor o(x).
2*x*(x - 1)*(x + 1)**2/21
Find t such that 154*t**2 - 3 + 108*t**3 - 80*t + 94*t + 28*t**3 + 1 - 2 = 0.
-1, -1/4, 2/17
Solve -83*j**2 - 22*j**2 - 3*j**3 + 0*j**3 - 7610*j + 7718*j = 0 for j.
-36, 0, 1
Let j be 1 + (-9)/((-135)/(-14)). Let h(p) be the second derivative of -3/10*p**5 + p**3 + 1/6*p**4 + 0 + j*p**6 - 2*p**2 + 9*p. Factor h(a).
2*(a - 2)*(a - 1)**2*(a + 1)
Let f be 8*(-13)/(-39) - 2. Determine k, given that -k + 1/3*k**2 + f = 0.
1, 2
Let y(f) be the third derivative of -f**6/72 - 7*f**5/45 + f**4/6 + 9*f**2. Determine h so that y(h) = 0.
-6, 0, 2/5
Factor 0 + 1/3*q**2 - 2/3*q.
q*(q - 2)/3
Let d(y) = 4*y + 42. Let k be d(0). Let l be 33/k + 0 + (-2)/4. Suppose -4/7*r**2 + 0*r - l*r**4 + 6/7*r**3 + 0 = 0. Calculate r.
0, 1, 2
Let r(o) = 966*o**2 - 120*o - 3. Let w(k) = k**2 + 2*k + 1. Let a(y) = -r(y) - 6*w(y). Factor a(f).
-3*(18*f - 1)**2
Let v(n) be the third derivative of -n**8/224 + 23*n**7/140 - 89*n**6/40 + 267*n**5/20 - 621*n**4/16 + 243*n**3/4 + 580*n**2. What is o in v(o) = 0?
1, 3, 9
Let x(p) be the third derivative of -p**5/360 + 7*p**4/144 - p**3/3 - 6*p**2 - 6. Let x(b) = 0.