- 14. Let c be a(b). Factor 4/5*j + 2/5*j**c - 6/5.
2*(j - 1)*(j + 3)/5
Factor d - 3334*d**3 + 3*d + 3335*d**3 + 4*d**2.
d*(d + 2)**2
Suppose -2*w + 19 = -w + 3*j, 5*j = 25. Let v(n) be the second derivative of -1/42*n**4 + 0*n**2 + 0 + w*n + 0*n**3. Factor v(y).
-2*y**2/7
Suppose 3*u + 14 = 110. Factor -11*h**3 + 12*h + u*h**2 + 16*h - 9*h**3 - 12*h.
-4*h*(h - 2)*(5*h + 2)
Let x = -120 + 123. Factor -1 - 24*a**3 + 27*a**x - 19*a**2 + 33*a - 8.
(a - 3)**2*(3*a - 1)
Suppose 103*v = 110*v - 21. Let k(i) be the third derivative of -3/2*i**4 - 9/20*i**5 + 0 + v*i**2 + 0*i - 2*i**3 - 1/20*i**6. Solve k(t) = 0.
-2, -1/2
Suppose 3*r + 5*t - 23 = 0, -5*t = -5*r - 0 + 25. Let b(p) be the first derivative of -r - 1/2*p**4 + 0*p - 3*p**2 + 8/3*p**3. Find z such that b(z) = 0.
0, 1, 3
Let k(s) be the first derivative of -1125*s**4/16 + 50*s**3 + 55*s**2/2 + 4*s - 7. Solve k(x) = 0 for x.
-2/15, 4/5
Let u(k) be the third derivative of k**9/40320 - k**8/8960 + k**6/960 - k**5/320 - 3*k**4/4 - 6*k**2. Let j(w) be the second derivative of u(w). Factor j(r).
3*(r - 1)**3*(r + 1)/8
Let 614*w - 184*w**2 + 42*w**3 - 194*w - 23*w**2 - 300 - 3*w**4 = 0. Calculate w.
2, 5
Let j be 2/4 - (8 - 159/18). Suppose -4*k + 1 = 5*d - 1, 4 = 5*d + 3*k. Factor -2/3 - j*i - 2/3*i**d.
-2*(i + 1)**2/3
Let d(z) be the second derivative of -z**5/80 + z**4/24 + z**3/24 - z**2/4 + 67*z. What is t in d(t) = 0?
-1, 1, 2
Let h = 168 + -144. Suppose -19*c = -h*c. Factor 0 - 2/5*s**2 + c*s.
-2*s**2/5
Let r(v) be the third derivative of v**7/455 - v**6/195 - v**5/390 + v**4/78 + 13*v**2. Solve r(f) = 0 for f.
-2/3, 0, 1
Suppose -11*z - 2*z + 39 = 0. Suppose -s + 5 = 8*o - z*o, -5*s - 3*o = -25. Factor -2/15 + 2/5*c**4 + 2/15*c**s - 2/5*c + 4/15*c**3 - 4/15*c**2.
2*(c - 1)*(c + 1)**4/15
Suppose -j + 2 = 0, -3*f = -2*j + j + 8. Let i be 2/9*(f + 5 - 2). Factor -2/9*x - 2/9 + 2/9*x**2 + i*x**3.
2*(x - 1)*(x + 1)**2/9
Let h(n) be the third derivative of n**5/12 - 155*n**4/12 + 4805*n**3/6 + 2*n**2 - 103*n. Solve h(q) = 0 for q.
31
Let u(f) be the third derivative of 0 + 1/420*f**6 + 2*f**2 + 2/7*f**3 + 0*f + 1/35*f**5 + 11/84*f**4. Factor u(z).
2*(z + 1)*(z + 2)*(z + 3)/7
Suppose -4*j + 2 = g, -4 - 2 = 5*j - 3*g. Let w be (0 - 4)*(4/(-24) + j). Find o, given that w*o**4 + 4/3*o**3 + 2/3*o**2 + 0*o + 0 = 0.
-1, 0
Let l = -60 - 38. Let t = -95 - l. Let -3/4*p - 1/2 + 1/2*p**2 - 1/4*p**5 + p**t + 0*p**4 = 0. Calculate p.
-1, 1, 2
Let d = 113 - 95. Suppose -6 = 2*c + 4*l, -2*c - l + 5*l = -d. Factor -8/9 + 2/3*m**2 + 0*m - 2/9*m**c.
-2*(m - 2)**2*(m + 1)/9
Let c(g) be the first derivative of g**6/60 + g**5/30 - 5*g**4/12 + g**3 - 8*g**2 + 9. Let f(p) be the second derivative of c(p). Factor f(t).
2*(t - 1)**2*(t + 3)
Let g(n) be the third derivative of -n**6/60 - n**5/3 - 4*n**4/3 - 199*n**2. Determine a so that g(a) = 0.
-8, -2, 0
Let c be 132/(-990) + 2/15. Let a(z) be the first derivative of 6 - 2/21*z**3 + 1/7*z**2 + c*z. Factor a(o).
-2*o*(o - 1)/7
Let f(r) = 330*r**3 - 1113*r**2 + 445*r - 48. Let q(y) = 662*y**3 - 2225*y**2 + 889*y - 96. Let k(x) = 7*f(x) - 3*q(x). Factor k(h).
4*(h - 3)*(9*h - 2)**2
Let w(u) be the second derivative of u**9/3024 - u**7/840 - 4*u**3/3 + 2*u. Let l(a) be the second derivative of w(a). Factor l(c).
c**3*(c - 1)*(c + 1)
Suppose -a + 5*x + 5 = -0, 0 = 3*a + 2*x + 2. Let p be a/(4/(-1) + 5). Let p*b**2 + 2*b + 4/3 - 2/3*b**3 = 0. Calculate b.
-1, 2
Factor 16 - 33/2*z + 1/2*z**2.
(z - 32)*(z - 1)/2
Let z = 14 + -6. Suppose 48*y = 5*l + 47*y - 12, -3*l = -3*y - 12. Suppose -z*g - 7*g**2 + 8 - 4*g + 11*g**l = 0. Calculate g.
1, 2
Factor -79 + 251 - 136 - 33*y - 3*y**2.
-3*(y - 1)*(y + 12)
Let l(f) = -5*f**3 - 14*f**4 + 17*f - 3*f**3 - 11*f**4. Let b(h) = h**3 - 2*h**4 + 5*h**4 + 29*h + 18*h - 49*h. Let v(i) = 51*b(i) + 6*l(i). Factor v(p).
3*p**3*(p + 1)
Let 1/2*k**3 - 1/2*k**2 - k + 0 = 0. What is k?
-1, 0, 2
Suppose 6*t - 11 - 13 = 0. Let y(n) = -2*n**2 - 2*n. Let v(z) = 3*z**2 + 3*z. Let f(j) = t*v(j) + 5*y(j). Solve f(k) = 0.
-1, 0
Let f(i) be the third derivative of 1/70*i**5 - 4/21*i**3 - 1/735*i**7 - 1/21*i**4 + 0*i + 1/210*i**6 - 9*i**2 + 0. Factor f(b).
-2*(b - 2)**2*(b + 1)**2/7
Let m be (-6*56/(-48))/(14/4). Let d(v) be the third derivative of 0*v**3 - 1/20*v**5 + 0 + 1/8*v**4 - 9*v**m + 0*v. Suppose d(c) = 0. Calculate c.
0, 1
Let r(w) be the second derivative of -10*w + 1/16*w**4 + 0 + 1/240*w**6 + 0*w**2 - 1/2*w**3 + 1/40*w**5. Let b(q) be the second derivative of r(q). Factor b(s).
3*(s + 1)**2/2
Suppose 2*c - 4 = -b - 3*c, 3*c = 0. What is l in 29*l**4 + 4*l**3 + 0*l - 28*l**b - l**3 - 2*l**5 - l**2 - l = 0?
-1, -1/2, 0, 1
Let m(t) be the third derivative of t**7/1365 - t**6/390 + t**5/390 - 2*t**2. Let m(s) = 0. What is s?
0, 1
Suppose -19869*r**3 - 7 + 23 - 20*r + 5*r**4 + 19889*r**3 + 9 - 30*r**2 = 0. Calculate r.
-5, -1, 1
Let m(c) be the third derivative of -9*c**2 - c**3 - 1/40*c**6 + 0*c + 1/8*c**4 + 1/10*c**5 + 0. Suppose m(v) = 0. Calculate v.
-1, 1, 2
Let x(m) be the third derivative of -m**8/1008 + 2*m**7/105 - 3*m**6/20 + 3*m**5/5 - 9*m**4/8 - 17*m**2 - 5*m. Find l, given that x(l) = 0.
0, 3
Let s(o) = -o + 17. Let x be s(14). What is v in 5*v - 3*v - 4*v**2 + 0*v**2 + x*v**2 + 3 = 0?
-1, 3
Let b(m) be the second derivative of -m**6/45 + m**5/15 + m**4/18 - 2*m**3/9 - 109*m - 2. What is l in b(l) = 0?
-1, 0, 1, 2
Let p = -108 + 112. Let r(g) be the second derivative of -1/4*g**3 + 1/24*g**p + 1/2*g**2 + 0 - 5*g. Find x such that r(x) = 0.
1, 2
Let g(y) = 5*y**3 + 67*y**2 + 27*y + 13. Let h be g(-13). Let 4/7*x - 2/7*x**3 + h + 2/7*x**2 = 0. Calculate x.
-1, 0, 2
Let t(v) be the first derivative of -v**5/25 + 3*v**4/20 + 13*v**3/5 - 83*v**2/10 + 42*v/5 - 58. Suppose t(x) = 0. Calculate x.
-6, 1, 7
Let n(m) be the second derivative of 1/60*m**4 + 1/5*m**2 + 1/10*m**3 + 15*m + 0. Factor n(z).
(z + 1)*(z + 2)/5
Let d(g) be the third derivative of g**6/120 - 9*g**5/20 + g**3/3 + 2*g**2. Let n be d(27). Suppose 3/2 + 1/2*u**2 - n*u = 0. Calculate u.
1, 3
Let r(d) = 3*d - 15. Let t be r(6). Suppose 7 = -4*n - 3*y, -5*y - 2 = -t*n + 29. Factor -5*m**n - 14*m**2 + 18*m**2 + m**3.
m**2*(m - 1)
Let y = -15/193 + 238/579. Factor -y*b**2 - 1 + 4/3*b.
-(b - 3)*(b - 1)/3
Let m = -132 + 134. Let n(w) be the second derivative of w + 28/15*w**3 + 0 - 4/5*w**m - 49/30*w**4. Factor n(d).
-2*(7*d - 2)**2/5
Let d(q) be the second derivative of -q**4/12 - 19*q**3/6 - 73*q. Factor d(n).
-n*(n + 19)
Let q(u) be the third derivative of 22*u**2 - 3*u**3 + 4/15*u**5 + 0*u + 0 + 1/10*u**6 + 1/105*u**7 - 1/2*u**4. Find j, given that q(j) = 0.
-3, -1, 1
Factor 0 - 7/4*o + 1/8*o**2.
o*(o - 14)/8
Suppose 3*a - 2*a - 28 = -3*l, 5*a = -3*l + 32. Determine u so that 44*u - 34*u - l*u**4 - 45*u**2 + 15*u**3 + 29*u**4 = 0.
-2, 0, 1/4, 1
Let g(l) be the third derivative of l**7/490 - l**6/35 - l**5/14 + l**4/7 + 9*l**3/14 - 3*l**2 + 13*l. Find j such that g(j) = 0.
-1, 1, 9
Suppose 1/7*m**4 - m**3 + m - 1/7*m**2 + 0 = 0. What is m?
-1, 0, 1, 7
Let g(f) = 8*f + 17. Let q be g(-4). Let d be ((-48)/q)/(-2) - (2 - 4). Let d - 2/5*a**2 + 0*a = 0. Calculate a.
-1, 1
Let u = 7 + -4. Suppose -4*v = -5*i - 18, u*i = -4 - 2. Factor -3 + 3*o**2 + 1 - 2*o**2 + o**v.
2*(o - 1)*(o + 1)
Suppose -3*i = -3 - 3. Suppose 12*q**3 - q**i + 12*q**2 + 2*q - 2*q**2 + 5*q**4 = 0. Calculate q.
-1, -2/5, 0
Let j(x) be the second derivative of -34*x**4/9 + 38*x**3/9 - 2*x**2/3 - 3*x. Factor j(w).
-4*(2*w - 1)*(17*w - 1)/3
Let g(u) be the first derivative of u**4/42 - u**3/7 - 4*u**2/7 + 14*u + 23. Let c(d) be the first derivative of g(d). Suppose c(o) = 0. What is o?
-1, 4
Suppose -z = 4*n - 12, n + 2*z + 4 = 7. Factor 11*l - 13*l + 2*l - n*l**3 + 3*l**5.
3*l**3*(l - 1)*(l + 1)
Let k(r) be the second derivative of -r**5/5 + 7*r**4 - 12*r**3 - 80*r**2 - 5*r + 4. Factor k(q).
-4*(q - 20)*(q - 2)*(q + 1)
Determine b so that 56/15*b**4 + 232/15*b + 66/5*b**3 + 2/5*b**5 + 16/5 + 108/5*b**2 = 0.
-3, -2, -1/3
Let f(h) be the third derivative of -49*h**5/15 - 56*h**4/3 - 128*h**3/3 - 17*h**2 + 3. Find b, given that f(b) = 0.
-8/7
Let x = -98 - -88. Let d be (-30)/25*x/3. Solve -2/3*n**d + 0*n + 0*n**2 + 0*n**3 + 0 + 2/3*n**5 = 0 for n.
0, 1
Suppose 54*g - 124 = 23*g. Let t(r) be the first derivative of -27/