25. Suppose w(q) = 0. Calculate q.
-1, 2/7, 2
Factor 75 + 101/2*x**2 + 1/2*x**4 + 235/2*x + 17/2*x**3.
(x + 1)*(x + 5)**2*(x + 6)/2
Let p(n) be the second derivative of n**5/5 + 14*n**4/3 + 40*n**3 + 144*n**2 - 69*n. Factor p(v).
4*(v + 2)*(v + 6)**2
Let i(s) be the first derivative of 125*s**7/14 - 25*s**6 + 30*s**5 - 20*s**4 + 8*s**3 + 3*s**2 + 3. Let k(m) be the second derivative of i(m). Factor k(x).
3*(5*x - 2)**4
Let r(m) = -m - 1. Let g(k) = -k**2 + 31*k + 30. Let n(d) = -g(d) - 4*r(d). Let i be n(28). Factor 1/3*a**3 - a + 0*a**i - 2/3.
(a - 2)*(a + 1)**2/3
Let l(j) be the second derivative of j**4/42 - 41*j**3/21 + 40*j**2/7 + 582*j. Factor l(d).
2*(d - 40)*(d - 1)/7
Factor -12 + 472*x - 13924/3*x**2.
-4*(59*x - 3)**2/3
Let h be (124/8)/((-3)/6). Let t = h - -31. Solve 3/2*m**2 - 1/2*m + t + 1/2*m**4 - 3/2*m**3 = 0 for m.
0, 1
Let p = -13 + 3. Let d be p/(-4) + 12/8. Factor d*l**2 - 4*l**4 + 2*l**2 + l**4 - 3.
-3*(l - 1)**2*(l + 1)**2
Let q(p) be the third derivative of -p**6/1440 + 3*p**5/80 - 27*p**4/32 - p**3 + 8*p**2. Let s(y) be the first derivative of q(y). Find n such that s(n) = 0.
9
Let r(h) be the first derivative of h**6/1080 + h**5/30 + h**4/2 + 26*h**3/3 - 1. Let g(o) be the third derivative of r(o). Factor g(m).
(m + 6)**2/3
Let i(v) be the first derivative of -v**7/840 - v**6/480 + 7*v**2 + 8. Let w(z) be the second derivative of i(z). Factor w(l).
-l**3*(l + 1)/4
Let o(h) = 2*h**3 - 8*h**2 - 2*h. Let n(u) = 3*u**3 - 16*u**2 - 5*u. Let s(d) = -2*n(d) + 5*o(d). Suppose s(q) = 0. Calculate q.
0, 2
Let g(s) = 3*s**2 - s. Let o be g(1). Suppose p - b - b = 10, -2*p + 17 = -3*b. Factor 3*n**3 - 3*n**p - 3*n + 17*n**o - 2*n**2 + 12*n.
-3*n*(n - 3)*(n + 1)**2
Let t(f) be the second derivative of -f**7/1960 - f**6/840 + f**5/140 - 3*f**3/2 + 8*f. Let j(o) be the second derivative of t(o). Factor j(n).
-3*n*(n - 1)*(n + 2)/7
Suppose 17*s - 23*s + 42 = 0. Suppose s*y = 10*y + 10*y. Factor -2/3*c**5 + 0*c + 2/9*c**3 + 4/9*c**4 + 0*c**2 + y.
-2*c**3*(c - 1)*(3*c + 1)/9
Let p(w) be the first derivative of 19/2*w**2 - 6*w + 30 + 9/4*w**4 + 34/3*w**3. Factor p(o).
(o + 1)*(o + 3)*(9*o - 2)
Let z = -26/11 + 323/132. Let o(w) be the first derivative of 5 + 1/18*w**3 - 1/3*w + z*w**2. Factor o(i).
(i - 1)*(i + 2)/6
Suppose 1/5*o**2 + 0 + 1/10*o**3 - 3/10*o = 0. What is o?
-3, 0, 1
Let a(f) be the first derivative of 11 + 0*f + 0*f**2 + 1/20*f**5 + 1/12*f**3 + 1/8*f**4. Determine u, given that a(u) = 0.
-1, 0
Let t = 14 + -13. Let n(j) = -j**3 + j**2 - j. Let h(q) = -q**3 - q. Let g(o) = t*h(o) - 2*n(o). Solve g(k) = 0.
0, 1
What is h in 9*h + 64*h**3 - 21*h**2 + 62*h**3 - 3*h**4 - 111*h**3 = 0?
0, 1, 3
Let i(l) = 2*l + 17. Let c be i(-6). Let k(d) be the first derivative of -4 + 1/2*d**6 + 0*d + 0*d**2 + 0*d**4 - 3/5*d**c + 0*d**3. Find y such that k(y) = 0.
0, 1
Suppose -7*x + 11*x - 2 = 3*j, 2 = 3*x - 2*j. Factor -1/7*y**3 + 1/7*y - 2/7 + 2/7*y**x.
-(y - 2)*(y - 1)*(y + 1)/7
Let p be (8/(-6))/((-20)/18). Let i = 13/31 + 28/155. Find v, given that i*v**2 + 3/5 - p*v = 0.
1
Let n(f) = 4*f**2 + 27*f + 147. Let c(x) = -3*x**2 - 26*x - 146. Suppose -4*r = 0, -3*r + 9 - 11 = g. Let p(i) = g*n(i) - 3*c(i). What is d in p(d) = 0?
-12
Factor -2/5*o**2 + 52/5*o - 338/5.
-2*(o - 13)**2/5
Let b = -22 - -27. Factor v + 7/2*v**2 + 1/2*v**b + 5/2*v**4 + 0 + 9/2*v**3.
v*(v + 1)**3*(v + 2)/2
Let g(p) = -p**3 + 12*p**2 - 12*p + 14. Let x be g(11). Factor 6*l**x - 3 - 15/2*l + 3/2*l**5 - 3*l**2 + 6*l**4.
3*(l - 1)*(l + 1)**3*(l + 2)/2
Let o(i) be the third derivative of 17/24*i**4 + 0*i + 1/3*i**3 - 2*i**2 - 2 + 13/120*i**6 + 7/15*i**5. Solve o(s) = 0 for s.
-1, -2/13
Let x(y) = 3*y**3 + 20*y**2 - y - 14. Let b(a) = -9*a**3 - 58*a**2 + 2*a + 43. Let j(q) = 4*b(q) + 11*x(q). Factor j(h).
-3*(h - 1)*(h + 2)*(h + 3)
Factor 5*s**4 - 30*s**3 - 42*s**2 - 13*s - 47*s + 107*s**2 + 20.
5*(s - 2)**2*(s - 1)**2
Let y(f) be the first derivative of f**4/48 - f**3/12 + f**2/8 + 5*f - 25. Let b(q) be the first derivative of y(q). Factor b(o).
(o - 1)**2/4
Let d be 5 - -1*3903/(-781). Let a = 26/71 - d. What is f in a*f + 0 - 14/11*f**2 - 4/11*f**3 + 14/11*f**4 = 0?
-1, 0, 2/7, 1
Let p(t) be the second derivative of t**9/3024 - t**7/420 + t**5/120 - t**3 - 5*t. Let m(d) be the second derivative of p(d). Determine x, given that m(x) = 0.
-1, 0, 1
Suppose -2*o = -5*t + 4, 0 = 5*o + 2*t - 20 + 1. What is y in -110*y**2 + 2093*y**o - 375*y - 230*y - 2098*y**3 = 0?
-11, 0
Let v = -371 - -371. Let o(i) be the first derivative of v*i + 0*i**2 + 2 + 2/33*i**3. Determine d so that o(d) = 0.
0
Factor 4*h**5 - 21*h**4 - 43*h**3 - 73*h**2 + 873*h**2 + 283*h**3 - 51*h**4.
4*h**2*(h - 10)**2*(h + 2)
Suppose -11*a = 29 - 95. Let a*p + 8*p**2 - 26 + 11 + 2*p**3 + 15 = 0. What is p?
-3, -1, 0
Solve -1/4*i**3 - 2*i**2 + 0*i + 0 = 0 for i.
-8, 0
Let f be (-11 - -13 - (-290)/(-146))*1. Let z = f + 289/219. Determine x, given that -z*x + 4/3*x**2 + 0 = 0.
0, 1
Let x(g) be the first derivative of 12/25*g**5 + 3/5*g**2 + 11/5*g**3 - 10 + 39/20*g**4 + 0*g. Suppose x(t) = 0. What is t?
-2, -1, -1/4, 0
Let i(x) be the third derivative of -361*x**7/21 + 1786*x**6/15 - 5764*x**5/25 - 376*x**4/15 - 16*x**3/15 + 611*x**2. Factor i(h).
-2*(h - 2)**2*(95*h + 2)**2/5
Let v(h) be the third derivative of h**6/1140 + h**5/570 - 7*h**4/114 - 8*h**3/19 + h**2 + 139*h. Suppose v(g) = 0. What is g?
-3, -2, 4
Let i(a) be the first derivative of 4 + 1/10*a**4 - 1/10*a - 1/5*a**3 - 1/50*a**5 + 1/5*a**2. Find v such that i(v) = 0.
1
Let z(q) be the second derivative of 5*q**4/12 + 110*q**3/3 + 1210*q**2 + 54*q. Factor z(t).
5*(t + 22)**2
Let z(k) be the first derivative of k**3/9 + 4*k**2/3 - 20*k/3 - 39. Factor z(i).
(i - 2)*(i + 10)/3
Let w(b) be the third derivative of b**8/672 + b**7/420 - b**6/120 - b**5/60 + b**4/48 + b**3/12 - 396*b**2. Factor w(q).
(q - 1)**2*(q + 1)**3/2
Let f(c) be the third derivative of 3*c**7/350 - c**6/100 - c**5/100 - c**2 + 34*c. Factor f(z).
3*z**2*(z - 1)*(3*z + 1)/5
Solve -2*l - 2/7*l**4 + 2*l**3 + 20/7 - 18/7*l**2 = 0.
-1, 1, 2, 5
Suppose 0 = -20*k + 47 + 13. Let m(c) be the third derivative of 0*c**k + 0*c + 0 - 1/15*c**5 - 1/3*c**4 - 3*c**2 + 1/30*c**6. Factor m(j).
4*j*(j - 2)*(j + 1)
Suppose v = i - 2, -5*i + 4 = 3*v - 14. Factor 6*l - 5 - 4*l**i + 2 - 35*l - 3 - 21*l**2.
-(l + 2)*(l + 3)*(4*l + 1)
Suppose -257*i = -272*i + 30. Let w(b) be the second derivative of 1/2*b**i + 1/36*b**4 + 7*b + 2/9*b**3 + 0. Factor w(o).
(o + 1)*(o + 3)/3
Let k = -20067 - -11297727/563. Let i = 30444/3941 - k. Factor -2/7*u**5 + 0 - 36/7*u**3 + 0*u**2 - 16/7*u**4 + i*u.
-2*u*(u - 1)*(u + 3)**3/7
Let g be (10/(-28))/((-1536)/896). Let m(l) be the third derivative of 0*l**3 + 0 - g*l**4 + 9*l**2 - 1/4*l**5 + 0*l. Factor m(q).
-5*q*(3*q + 1)
Let m(z) be the second derivative of -z**9/3024 + z**8/240 - z**7/56 + z**6/40 - 19*z**3/3 + 16*z. Let j(v) be the second derivative of m(v). Factor j(w).
-w**2*(w - 3)**2*(w - 1)
Let c(x) be the first derivative of 25*x**4/4 + 290*x**3/3 - 445*x**2/2 + 130*x + 77. Factor c(q).
5*(q - 1)*(q + 13)*(5*q - 2)
Let k(i) be the second derivative of -i**6/6 - i**5/2 + 5*i**4/4 + 20*i**3/3 + 10*i**2 + 3*i + 37. Factor k(j).
-5*(j - 2)*(j + 1)**2*(j + 2)
Let d(t) be the first derivative of 0*t - 1/24*t**4 + t**2 - 1/180*t**5 + 1/120*t**6 + 1/18*t**3 - 6. Let h(q) be the second derivative of d(q). Factor h(g).
(g - 1)*(g + 1)*(3*g - 1)/3
Let y(s) = 28*s**3 - 20*s**2 - 3*s - 5. Let x(r) = 42*r**3 - 30*r**2 - 5*r - 7. Let o = -56 + 63. Let w(k) = o*y(k) - 5*x(k). Factor w(m).
-2*m*(m - 1)*(7*m + 2)
Let z be (1 + 124)*4/10. Suppose -p = 4*p + 4*d - 90, 0 = -5*p + 4*d + z. Let 5*b**3 - p*b**3 + 5*b**3 = 0. What is b?
0
Let l(r) = 0*r + 22 - r - 10*r**2 + 22*r**3 - 5*r - 4*r. Let g(f) = -9*f**3 + 4*f**2 + 4*f - 9. Let h = -24 + 12. Let x(m) = h*g(m) - 5*l(m). Factor x(v).
-2*(v - 1)**2*(v + 1)
Let b(r) be the first derivative of r**4/2 + r**3/3 - 3*r**2/2 + 2*r - 12. Let s be b(1). Factor 4/9*p**s + 14/9*p**3 + 0*p - 8/9*p**4 + 0.
-2*p**2*(p - 2)*(4*p + 1)/9
Let k = -3102 + 40334/13. Let l be (-1)/(-2) - 9/26. Factor 0 - l*v**2 + k*v.
-2*v*(v - 4)/13
Let x be (-16)/(-320)*24/(-15) - (-104)/50. Solve 11/4*n**x - 7/4*n**4 - 13/4*n**3 - 1 + 5/4*n**5 + 2*n = 0.
-1, 2/5, 