26. Let h(n) be the second derivative of x(n). Solve h(l) = 0 for l.
-2, 0, 1
Find q such that 968/3*q + 2/9*q**3 - 44/3*q**2 - 21296/9 = 0.
22
Let g(i) be the third derivative of i**6/24 - 13*i**5/12 + 55*i**4/6 - 80*i**3/3 + 36*i**2 + 1. Factor g(h).
5*(h - 8)*(h - 4)*(h - 1)
Factor 1/7*b**2 - 5*b + 66/7.
(b - 33)*(b - 2)/7
Let k = -78/55 - -454/165. Solve -k*x - 34/3*x**4 + 0 - 26/3*x**2 - 8/3*x**5 - 16*x**3 = 0.
-2, -1, -1/4, 0
Factor 3*x**2 - 3 + 2*x - 31*x + 29*x.
3*(x - 1)*(x + 1)
Let -16 + 19*t + 84*t - 19*t - 84*t**2 + 16*t**3 = 0. What is t?
1/4, 1, 4
Let z(b) be the second derivative of -2*b**7/21 - 4*b**6/15 + 6*b**5/5 + 4*b**4/3 - 26*b**3/3 + 12*b**2 + 4*b - 16. Factor z(p).
-4*(p - 1)**3*(p + 2)*(p + 3)
Let -13*v**3 - 9*v**2 - 2 + 2 + 12*v**3 - 8*v = 0. Calculate v.
-8, -1, 0
Let y(x) = 104*x + 1770. Let f be y(-17). What is o in 0*o**f + 0*o + 0 - 4/13*o**3 + 2/13*o**4 = 0?
0, 2
Let p(s) be the second derivative of -3*s**2 + 0 - 1/12*s**4 + 5/6*s**3 + 16*s. Factor p(m).
-(m - 3)*(m - 2)
Let q = -8160 + 16323/2. Factor 0 + 3/2*l**2 - q*l.
3*l*(l - 1)/2
Let d(k) be the third derivative of k**8/6720 - k**6/60 + 17*k**5/30 + 33*k**2. Let a(g) be the third derivative of d(g). Factor a(o).
3*(o - 2)*(o + 2)
Let x = -4513 + 85795/19. Find i, given that -50/19*i**5 + 90/19*i**4 + 0*i + 8/19*i**2 + 0 - x*i**3 = 0.
0, 2/5, 1
What is g in -5*g + 2*g**3 + 2*g**3 + 4*g**2 - 59*g - 57 - 7 = 0?
-4, -1, 4
Let g be (48/(-144))/(-1 - 2). What is j in 1/9*j**4 + 4/9*j**3 + g + 4/9*j + 2/3*j**2 = 0?
-1
Let o(l) = 15*l**2 + 50*l + 31. Let z(h) = 30*h**2 + 100*h + 60. Let n(p) = -5*o(p) + 2*z(p). Factor n(i).
-5*(i + 1)*(3*i + 7)
Solve 36/7*u + 24/7 + 3/7*u**3 + 18/7*u**2 = 0 for u.
-2
Let i(d) be the first derivative of -d**6/105 + d**5/30 - d**4/42 - d**3/21 - 2*d**2 + 5. Let k(t) be the second derivative of i(t). Factor k(w).
-2*(w - 1)**2*(4*w + 1)/7
Suppose 0 = 312*m - 306*m. Let h(k) be the third derivative of 1/20*k**6 + 0*k + m + 0*k**3 + 0*k**4 - k**2 - 1/30*k**5. Factor h(u).
2*u**2*(3*u - 1)
Let i(g) = g**3 - g**2 + g - 12. Let j be i(0). Let u(m) = m**2 + 12*m + 3. Let z be u(j). Factor 2 - 12*r**3 + 11*r - 18*r**2 - z*r**4 - 23*r - 5.
-3*(r + 1)**4
Let y be -4 + (-21)/(-8 + 5). Let n be -1 + (3 - 6)/y + 8. Factor -13/2*i**2 + n*i + 3*i**3 - 1/2*i**4 - 2.
-(i - 2)**2*(i - 1)**2/2
Let k(s) be the first derivative of 32/21*s**3 + 2/21*s - 2 - 4/7*s**2 - 32/21*s**4. Factor k(t).
-2*(4*t - 1)**3/21
Let r be (2 - -16*6/(-60))/(2/1). Factor 1/5*l**4 + r*l**2 + 2/5*l**3 + 0*l + 0.
l**2*(l + 1)**2/5
Let g = -656 - -3306/5. Factor -18/5*y**2 + 2/5*y + 4/5 - g*y**3 - 2*y**4.
-2*(y + 1)**3*(5*y - 2)/5
Let m = -686 - -185221/270. Let k(t) be the third derivative of m*t**5 + 0 + 0*t + t**2 - 1/54*t**4 + 0*t**3. Suppose k(w) = 0. What is w?
0, 2
Let s be (-54)/135*(0 + 0 - 5). Let h(r) be the first derivative of -10 - 4/3*r**3 - s*r - 1/4*r**4 - 5/2*r**2. What is i in h(i) = 0?
-2, -1
Let h(s) be the third derivative of -s**8/84 + 2*s**7/105 + 11*s**6/15 + 44*s**5/15 + 4*s**4 + 138*s**2. Suppose h(a) = 0. Calculate a.
-2, -1, 0, 6
Suppose 0 = 3*d + 5 - 14. Suppose -4 = -4*f - r, 3*r + 2*r + 28 = 4*f. Factor -f*t**d + 3 + 6*t**4 - 3*t + 7*t**3 - 9*t**2 - 2*t**3.
3*(t - 1)*(t + 1)**2*(2*t - 1)
Factor 0 - 1/4*y**3 + 0*y - 1/4*y**2.
-y**2*(y + 1)/4
Let d = -109 + 111. Let -3*p**d + 45*p**3 - 41*p**3 - 4*p**4 + 3*p**2 = 0. Calculate p.
0, 1
Determine a so that -4*a**2 + 0 - 22/5*a + 2/5*a**3 = 0.
-1, 0, 11
Let j = -1730/17 + 102. Let o(g) be the first derivative of 0*g**3 + 1/34*g**4 + 0*g - 9 - j*g**2. Solve o(r) = 0 for r.
-2, 0, 2
Let c(v) be the second derivative of v**6/30 - 2*v**5/5 + v**4/2 + 4*v**3/3 - 7*v**2/2 + 15*v + 3. What is i in c(i) = 0?
-1, 1, 7
Suppose 0 = 7*m + 2 - 2. Find q, given that 1 + m*q**2 + 21*q**5 + 6*q**4 - 12*q**2 - 42*q**3 + 21*q + 5 = 0.
-1, -2/7, 1
Let f(l) be the first derivative of 3*l**4/4 + 4*l**3 - 5*l**2/2 + 6*l - 2. Let z(b) = -b**3 - 2*b**2 - 1. Let g(x) = -f(x) - 4*z(x). Factor g(y).
(y - 2)*(y - 1)**2
Let m(z) = 9*z**2 + 13*z - 37. Let d be m(4). Let y = 801/5 - d. What is p in 4/5 - 8/5*p**2 - 2*p + y*p**3 = 0?
-1, 1/3, 2
Suppose -4*o + 8 = 5*t, 0 = -0*o + o - 4*t - 23. Let w(u) be the second derivative of 0*u**2 - 1/12*u**4 + 0*u**3 - 1/20*u**5 + 0 + o*u. Factor w(c).
-c**2*(c + 1)
Let k be ((-27)/((-1701)/1980))/1. Let k*z**4 - 32/7*z + 100/7*z**5 + 16/7 + 76/7*z**3 - 92/7*z**2 = 0. What is z?
-1, 2/5
Let m(q) = 7*q**2 - 11*q. Let c(y) = -3*y**2 + 5*y. Let h = -28 - -37. Let s(a) = h*c(a) + 4*m(a). Factor s(o).
o*(o + 1)
Let w = 26 - 18. Suppose k = -3*k + w. Factor 2 - 54*m + 4*m**k + 49*m + 2*m**3 - 3*m**3.
-(m - 2)*(m - 1)**2
Let m(t) be the first derivative of -2*t**3/3 + 5*t**2 + 220. Factor m(z).
-2*z*(z - 5)
Factor 82*v + 26*v**2 + 26*v**2 - 3*v**2 + 12 + 74*v + 26*v**2.
3*(v + 2)*(25*v + 2)
Let c(v) be the third derivative of -2*v**7/105 - 23*v**6/120 - 13*v**5/30 + v**4/3 - 8*v**2 - 2. Let c(u) = 0. Calculate u.
-4, -2, 0, 1/4
Let o(h) be the first derivative of 1/4*h**4 + 6*h**2 - 8*h - 7 - 2*h**3. Determine l, given that o(l) = 0.
2
Let q(k) = -k**5 + 4*k**4 + 2*k**2 + 5*k - 6. Let z(f) = f**5 - 4*f**4 - f**3 - 3*f**2 - 5*f + 7. Let h(x) = -5*q(x) - 4*z(x). Factor h(w).
(w - 2)*(w - 1)**3*(w + 1)
Let k be 3827/801 + 1/((-9)/(-2)). Factor -3*o**k + 2*o**5 + 7*o**5 - 4*o**5.
2*o**5
Let z(w) = w**3 - 3*w**2 + 3. Let a be z(3). Factor -h + 6*h**2 + h - 2 - 2*h - 4*h**2 + 2*h**a.
2*(h - 1)*(h + 1)**2
Let i(y) be the third derivative of -y**9/1512 + y**8/630 + y**7/1260 - y**6/270 - 3*y**3 - 39*y**2. Let l(j) be the first derivative of i(j). Factor l(k).
-2*k**2*(k - 1)**2*(3*k + 2)/3
Let k(p) be the first derivative of p**6/216 - p**5/3 + 10*p**4 + 20*p**3 - 46. Let h(m) be the third derivative of k(m). Factor h(q).
5*(q - 12)**2/3
Let f = -185/11 - -17. Find t, given that -f*t**2 - 18/11 + 12/11*t = 0.
3
Let g(x) be the first derivative of -15 + 1/14*x**4 + 16/35*x**5 - 1/7*x**2 + 2/7*x + 4/21*x**6 - 10/21*x**3. Let g(l) = 0. What is l?
-1, 1/2
Let -142/13*r**2 + 54/13*r**3 - 14/13*r**5 + 24/13 + 40/13*r + 38/13*r**4 = 0. What is r?
-2, -2/7, 1, 3
Let h(g) be the second derivative of g**7/1260 - g**6/90 + g**5/15 + 7*g**4/12 + 13*g. Let p(d) be the third derivative of h(d). Suppose p(j) = 0. Calculate j.
2
Suppose 10 = -3*p - 20. Let x = -7 - p. Solve 11*y + 2*y**2 + y - 14*y + 3*y + y**x = 0.
-1, 0
Suppose 2*g + 13 = 2*b + 3, 3*g = -9. Factor 0 - 1/3*j**b + 0*j.
-j**2/3
Suppose 0*j - 2/3*j**2 + 112/9*j**4 + 0 + 4/9*j**3 = 0. Calculate j.
-1/4, 0, 3/14
Let x(c) be the third derivative of -c**5/300 + 5*c**4/12 + 17*c**3/10 + 218*c**2. What is v in x(v) = 0?
-1, 51
Factor -1/3*c**4 + 0*c + 2*c**2 + 0 - 1/3*c**3.
-c**2*(c - 2)*(c + 3)/3
Let a be 23*((-812)/(-870) + 6/(-10)). Factor -1/6*x**4 - 2*x**3 - a*x**2 - 10*x - 25/6.
-(x + 1)**2*(x + 5)**2/6
Let s be 4/(-3) + 104/39. Let b(x) be the first derivative of 0*x**2 + 0*x + 7/3*x**6 - 4/5*x**5 + 11 + s*x**3 - 7/2*x**4. Let b(q) = 0. What is q?
-1, 0, 2/7, 1
Suppose -130 = 16*m - 42*m. Let k(w) be the first derivative of 1/2*w**3 - 1/4*w**2 + 1/8*w**4 - 4 - 1/10*w**m - w. Factor k(d).
-(d - 2)*(d - 1)*(d + 1)**2/2
Let s(t) = -t**3 + 10*t**2 + 12*t + 4. Let w be s(11). Suppose -6*x + w = -x. Suppose 4*c**x - 48*c**2 + 3*c + c + 56*c**2 = 0. What is c?
-1, 0
Let m(o) be the second derivative of o**4/12 + 5*o**3/6 - 7*o**2 + 55*o. Factor m(i).
(i - 2)*(i + 7)
Let c(u) be the second derivative of u**9/1008 - 3*u**8/560 + 3*u**7/280 - u**6/120 - 17*u**3/6 + 15*u. Let r(h) be the second derivative of c(h). Factor r(n).
3*n**2*(n - 1)**3
Solve 3/8*o**5 - 21/8*o**4 + 0*o**2 + 0*o + 9/2*o**3 + 0 = 0 for o.
0, 3, 4
Factor 15*r**2 - 3641*r + 10 - 5*r**3 + 32 + 3721*r - 17 + 35.
-5*(r - 6)*(r + 1)*(r + 2)
Let v(l) = -5*l**2 + l. Let c be v(-1). Let g be 1 - (c + 3 + -2). Factor 4*b - 5*b + 3*b**2 - 2*b + 6 - g*b.
3*(b - 2)*(b - 1)
Suppose -4*j - 5 - 19 = 0. Let q(d) = -d**2 + 3*d + 3. Let r(w) = 3*w**2 - 13*w - 11. Let k(z) = j*r(z) - 22*q(z). Find s such that k(s) = 0.
-3, 0
Let v = 1297/3205 + -3/641. Determine k so that 2/5*k**3 - 2/5*k**2 + v - 2/5*k = 0.
-1, 1
Let u be -31*(-3 + 2)*1. Let q = u - 16. Solve 5*b**2 + 20*b**3 - 20*b**3 - q*b**4 - 10*b**5 = 0 for 