25. Let o(c) = -25*q(c) - 3*z(c). Let o(g) = 0. Calculate g.
0, 2
Let a(c) be the second derivative of c**8/1680 + c**7/630 + 4*c**4/3 - 19*c. Let p(u) be the third derivative of a(u). Factor p(o).
4*o**2*(o + 1)
Let y(l) be the first derivative of -4/3*l + 1/15*l**5 + 2/3*l**2 + 1/3*l**3 + 19 - 1/3*l**4. Factor y(j).
(j - 2)**2*(j - 1)*(j + 1)/3
Let t be 2*(-5)/10 - -20. Factor 8*k**2 + 4*k**3 + t*k - 9*k - 6*k.
4*k*(k + 1)**2
Let d(s) be the third derivative of s**7/14 - 5*s**6/24 - s**5 - 11*s**2 + 24. Find c such that d(c) = 0.
-4/3, 0, 3
Suppose 4 = -3*o + 16. Suppose 3*l - 10 = 4*g + 18, -o = 2*l + 3*g. Factor 0 - 4/7*h**2 + 0*h + 6/7*h**l + 10/7*h**3.
2*h**2*(h + 2)*(3*h - 1)/7
Let z = -70 - -76. Let a be (-2 + z + 0)/(10/1). Find h such that -6/5*h**2 - 2/5*h**3 - 6/5*h - a = 0.
-1
Suppose -5*b - 3 = -13. Suppose 0 = -b*n + 10, -5*u + 0*n + 2*n = -15. Solve 1/2*r**u + 0 - 2*r**2 + 4*r**3 - 5/2*r**4 + 0*r = 0.
0, 1, 2
Let s = 144 + -148. Let b(k) = 33*k**2 + 71*k + 64. Let t(c) = -8*c**2 - 18*c - 16. Let a(g) = s*b(g) - 18*t(g). Factor a(z).
4*(z + 2)*(3*z + 4)
Let k(j) = j**2 + 2*j - 5. Let n be k(3). Let 13*d**2 + 7*d**3 - 2*d**3 - n*d - 8*d**2 = 0. What is d?
-2, 0, 1
Factor 231/2*r**2 - 87/2*r + 3.
3*(7*r - 2)*(11*r - 1)/2
Let p(m) be the second derivative of -5/24*m**4 + 0 - 24*m - 5/12*m**3 + 15/2*m**2. Determine i so that p(i) = 0.
-3, 2
Let b = -5507 + 16537/3. Factor -88/3*d**3 + b*d**2 + 0 + 76/3*d**4 + 0*d - 6*d**5.
-2*d**2*(d - 2)**2*(9*d - 2)/3
Let y(h) be the second derivative of -h**5/90 - 5*h**4/54 + 19*h**3/9 - 11*h**2 - 27*h + 1. Solve y(i) = 0 for i.
-11, 3
Let b be (-3 - (-11)/3)*6. Suppose -d - 5 = x - 0, -d + b*x = -20. Factor -1/2*p**3 + d + p**2 + 0*p.
-p**2*(p - 2)/2
Determine s so that -25*s**4 - 2116 - 4298*s + 1130*s**3 - 2389*s - 12309*s**2 - 3709*s = 0.
-2/5, 23
Let m(g) = 5*g - 8. Let o be m(2). Let y(l) be the first derivative of 49/6*l**4 + 4 + 20*l**o - 16/3*l - 28*l**3. Determine w so that y(w) = 0.
2/7, 2
Solve -31/4*c**2 - 3/2*c - 21/4*c**5 + 71/4*c**4 - 13/4*c**3 + 0 = 0.
-1/3, -2/7, 0, 1, 3
Let o(y) = y**2 + 8*y + 1. Let c be o(-7). Let z be 5/((-50)/18)*2/c. Solve z*d**2 + d**3 + 4/5 - 12/5*d = 0.
-2, 2/5, 1
Factor -1/3*r**3 - 8/3*r - 5/3*r**2 - 4/3.
-(r + 1)*(r + 2)**2/3
Suppose 6*u = 8*u - u. Suppose -4*h + 4*d - 2 = 6, h + 2*d - 10 = u. Factor 0 + 2/7*p**4 + 4/7*p**3 - 2/7*p**h - 4/7*p.
2*p*(p - 1)*(p + 1)*(p + 2)/7
Let x(r) be the second derivative of 2/21*r**7 + 0*r**3 + 32*r + 0 + 0*r**6 + 0*r**2 + 0*r**4 - 1/5*r**5. Factor x(q).
4*q**3*(q - 1)*(q + 1)
Let s(p) = 35*p**3 - 809*p**2 - 604*p + 228. Let t(h) = -35*h**3 + 810*h**2 + 605*h - 230. Let f(c) = 5*s(c) + 6*t(c). Factor f(q).
-5*(q - 24)*(q + 1)*(7*q - 2)
Let i = -18 + 51. Determine y, given that -37 + i + y**2 - y**2 + y**2 = 0.
-2, 2
Solve 2500*t - 620 + 959*t**2 - 3495*t**2 + 1371*t**2 + 35*t**3 = 0.
2/7, 2, 31
Suppose -5*a = -34 - 6. Find j such that -24*j**2 - 24*j**2 + 44*j**2 - a*j**5 + 12*j**4 = 0.
-1/2, 0, 1
Let d(v) = v + 8. Let f be (-76)/12 - 1/(-3). Let s be d(f). Determine l, given that -8*l + 8 + l**s + l**2 - l**3 - 12 - 7*l**2 = 0.
-2, -1
Factor -4/5*x**2 + 4/5*x**4 + 0 - 172/5*x**3 + 172/5*x.
4*x*(x - 43)*(x - 1)*(x + 1)/5
Solve 70/9*q**2 + 0 + 2/9*q**4 - 49/9*q**3 - 23/9*q = 0 for q.
0, 1/2, 1, 23
Let a(p) = -2*p - 7. Let i be a(-5). Factor -2999*z - i*z**2 + 2999*z.
-3*z**2
Let b be 2/(-15) - (-1 + (-1886)/(-30)). Let d = b + 66. Determine j so that 3/7*j**d + 3/7*j + 0 - 3/7*j**3 - 3/7*j**2 = 0.
-1, 0, 1
Let i(u) be the second derivative of -1/15*u**6 + 2/9*u**3 + 0 - 6*u + 2/189*u**7 - 1/9*u**2 - 7/27*u**4 + 8/45*u**5. Factor i(k).
2*(k - 1)**4*(2*k - 1)/9
Suppose 0 = 5*s - 4*h - 168, -2*s + 3*h = s - 102. Let f = s + -32. Factor 0*j - 3/7*j**4 - 3/7 + f*j**3 + 6/7*j**2.
-3*(j - 1)**2*(j + 1)**2/7
Let v(w) = w - 17. Let m be v(21). Let h(n) = n**2 - 2*n - 6. Let i be h(m). Factor 2/7*t**4 - 2/7*t**5 + 0 + 0*t + 0*t**i + 0*t**3.
-2*t**4*(t - 1)/7
Let j be 1 - 3 - 8*(-8)/16. Let g(s) be the second derivative of -1/54*s**4 + 0*s**3 + 0 + 1/9*s**j + 7*s. Solve g(w) = 0 for w.
-1, 1
Let o be -2 - (-2)/1*6. Let j = -10 - -33. Solve -1 - o - j*p**2 - 1 + 12*p + 20*p**2 = 0.
2
Let t(s) be the second derivative of s**5/270 - s**4/36 + 2*s**3/27 + 11*s**2/2 - 15*s. Let i(z) be the first derivative of t(z). Factor i(h).
2*(h - 2)*(h - 1)/9
Let v = -84 - -91. Let 35*c - c**3 + 7*c**2 - v*c**2 - 31*c = 0. Calculate c.
-2, 0, 2
Suppose 5*r - 4*c = 22, r - 3*r - 8 = 4*c. Let j be -2 - r - 4*-2. Determine v, given that 1/6*v**2 + 0*v**3 + 0 - 1/6*v**j + 0*v = 0.
-1, 0, 1
Let h(z) = 6*z**3 + 2*z**2 - 4*z + 4. Let s(m) = 7*m**3 + 3*m**2 - 5*m + 5. Suppose u + 11 = 3*g, -u = 4*g - 5*g + 7. Let w(q) = u*h(q) + 4*s(q). Factor w(d).
-2*d**2*(d - 1)
Let -4*r**4 + 33*r**4 + 4*r**5 + 76*r**2 - r**4 + 156*r**3 + 56*r**4 + 0*r**5 = 0. What is r?
-19, -1, 0
Factor 72/7*p + 432/7 + 3/7*p**2.
3*(p + 12)**2/7
Let j = -214 + 217. Let k(z) be the third derivative of -5*z**2 + 1/4*z**4 + 3/2*z**j + 0 + 0*z + 1/60*z**5. Factor k(b).
(b + 3)**2
Let n(s) = 5*s**3 + 24*s**2 + 25*s + 192. Let j(d) = -d**3 - 4*d**2 - 6*d - 48. Let k(v) = -9*j(v) - 2*n(v). Suppose k(t) = 0. Calculate t.
-12, -2, 2
Suppose -4*u + u = 3. Let o be (-6 + u)*(-10)/35. Factor r**4 + 0*r**4 - 3*r**4 - o*r**3.
-2*r**3*(r + 1)
Suppose -4*d - 2*p + 20 = 0, -6*d = -d + 5*p - 30. Suppose -d*i + 5 = -3. Solve -1 + 1 - 4*h**3 + 3*h**i + 0 + h = 0.
-1/4, 0, 1
Let f(u) be the first derivative of -u**4/8 + u**3/3 + 41*u**2/4 - 21*u + 208. Find w, given that f(w) = 0.
-6, 1, 7
Let z = -710/19 + 3588/95. Factor 0 - 2/5*t + z*t**2.
2*t*(t - 1)/5
Suppose 0 = -20*z + 161*z - 306 + 24. Factor 1/2*j + 0 + 2*j**z + 3/2*j**3.
j*(j + 1)*(3*j + 1)/2
Let z(u) = 14*u + 3. Let d be z(5). Determine i so that -3*i**3 + d - 73 - 3*i**2 + 6*i = 0.
-2, 0, 1
Let h(j) = 4*j**2 + 12 + 5 - 3*j - 12. Let g(z) = 29*z**2 + z + 1 - 26*z**2 - 3*z + 3. Let w(v) = -5*g(v) + 4*h(v). Factor w(c).
c*(c - 2)
Let d(l) = -9*l**2 + 47*l - 60. Let i(o) = -o**2 - o. Let p(b) = -2*d(b) + 22*i(b). Factor p(x).
-4*(x - 1)*(x + 30)
Let u(c) be the third derivative of -c**8/240 + c**7/70 - c**6/120 - c**5/60 + 4*c**3/3 - 10*c**2. Let k(g) be the first derivative of u(g). Factor k(d).
-d*(d - 1)**2*(7*d + 2)
Suppose 0 = -4*z - p - 25, -z = -4*z + 2*p - 5. Let u(f) = f**2 + 4*f - 1. Let h be u(z). Factor h*g**3 - 178*g**4 - 3*g**3 + g**5 + 176*g**4.
g**3*(g - 1)**2
Let d be ((4 + 46)/25)/((-26)/(-4)). Determine i, given that 0 + 0*i**3 - 4/13*i**4 - 2/13*i**5 + d*i**2 + 2/13*i = 0.
-1, 0, 1
Let d = -11031/4 - -2759. Factor d*f**4 - 1/2*f + 7/4*f**2 - 1/4*f**5 - 9/4*f**3 + 0.
-f*(f - 2)*(f - 1)**3/4
Solve 25*i**2 + 15*i**2 + 35*i**4 - 67688*i**3 + 67618*i**3 - 5*i**5 = 0.
0, 1, 2, 4
Let v(k) be the third derivative of -k**7/280 + k**6/30 - k**5/8 + k**4/4 + k**3/2 - 2*k**2. Let y(c) be the first derivative of v(c). Factor y(r).
-3*(r - 2)*(r - 1)**2
Let p(l) be the second derivative of l**8/10080 - l**7/5040 - l**6/1080 + 2*l**3 - 16*l. Let m(u) be the second derivative of p(u). Factor m(r).
r**2*(r - 2)*(r + 1)/6
Let f(w) = -w**5 + 5*w**4 - 3*w**3 - 7*w**2 + 14*w + 18. Let m(i) = i**5 - 5*i**4 + 3*i**3 + 6*i**2 - 15*i - 19. Let p(b) = 7*f(b) + 6*m(b). Factor p(k).
-(k - 3)*(k - 2)**2*(k + 1)**2
Let q(x) = -3*x**3 - 29*x**2 + 4*x. Let f(k) = 4*k**3 + 28*k**2 - 6*k. Let s(n) = -4*f(n) - 6*q(n). Factor s(b).
2*b**2*(b + 31)
Suppose -26*b + 28 = -19*b. Let n be (-1)/b*(-62 - -50). Factor 0 - 1/2*f**n + 3/2*f**2 + 0*f.
-f**2*(f - 3)/2
Suppose -3*i + 8 = -2*a + a, 5*a = -5*i + 20. Let k(m) be the first derivative of 4*m - m**2 - 2/3*m**3 - i. What is f in k(f) = 0?
-2, 1
Let c(f) = -f**2 + 18*f - 43. Let x be c(15). Let k(i) be the third derivative of -4*i**x + 0 + 0*i - 1/210*i**5 + 0*i**3 + 0*i**4. Factor k(g).
-2*g**2/7
Let m(f) = -2*f**2 - 2*f + 18. Suppose 0 = -3*x + n - 1 - 0, -3*x + 5*n = -19. Let b(w) = -w**2 - w + 6. Let r(h) = x*m(h) + 7*b(h). Factor r(i).
-3*(i - 1)*(i + 2)
Let b(h) be the first derivative of 0*h**2 - 42 + 10/3*h**3 - 45/4*h**4 + 0*h. Factor b(i).
-5*i**2*(9*i - 2)
Suppose -3*f = -6, -5*g - 1 - 1 = 4*f. Let o(t) = -5*t - 10. Let n be o(g). Find l, given that n + 2/3*l**2 - 1/3*l**3 + 0*l = 0.
0, 2
Suppose 