) be the second derivative of 0*t**2 + 0 + 22*t + 1/12*t**3 + 1/48*t**4. Factor l(j).
j*(j + 2)/4
Let g(j) be the second derivative of -17*j**4/48 - 5*j**3/8 + j**2/4 + 75*j. Determine n, given that g(n) = 0.
-1, 2/17
Let u(f) = 9*f**2 - 10*f + 18. Let i(m) be the second derivative of -m**4/4 + m**3/2 - 3*m**2 + 25*m. Let q(r) = 17*i(r) + 6*u(r). Factor q(l).
3*(l - 2)*(l - 1)
Let n(b) be the first derivative of 2*b + 19 + 4/3*b**2 + 2/9*b**3. Factor n(j).
2*(j + 1)*(j + 3)/3
Let b(d) = -4 - 7*d + 6*d**2 - 6 + 4*d - 5*d**2. Let v be b(5). Suppose v*n**2 - 19*n**3 + 7*n**3 + 4*n**4 + 3*n**2 + 5*n**2 = 0. Calculate n.
0, 1, 2
Let s(c) be the third derivative of -c**7/2100 - c**6/600 - c**5/600 - 5*c**3/2 - 19*c**2. Let p(m) be the first derivative of s(m). Let p(z) = 0. What is z?
-1, -1/2, 0
Let i = 4/11 - 6/77. Let w be 15/63 - (4/(-12) + 0). Factor -w*d + 0 - i*d**2.
-2*d*(d + 2)/7
Factor -46/7*f**4 + 0 - 8/7*f**5 + 18/7*f**2 + 0*f - 60/7*f**3.
-2*f**2*(f + 3)**2*(4*f - 1)/7
Let y = -133886/17 + 7876. Factor y*v**2 + 0*v - 8/17 + 2/17*v**3.
2*(v - 1)*(v + 2)**2/17
Let t(i) be the third derivative of i**8/112 - i**7/35 - 3*i**6/20 + 2*i**5/5 + 5*i**4/8 - 3*i**3 + 109*i**2. Determine u so that t(u) = 0.
-2, -1, 1, 3
Let a(k) be the third derivative of -k**9/10584 + k**8/2940 - k**7/2940 + 20*k**3/3 + 16*k**2 - 1. Let b(y) be the first derivative of a(y). Factor b(r).
-2*r**3*(r - 1)**2/7
Factor 27*b**5 - 8*b**4 - 10*b**4 - 5*b**4 + 29*b**4.
3*b**4*(9*b + 2)
Suppose 2*h - 22 = 4*p - 48, 13 = -3*p - 5*h. Find z, given that 8/13 - 6/13*z**2 - 2/13*z**p + 10/13*z**3 - 10/13*z = 0.
-1, 1, 4
Let c(x) be the second derivative of -2/3*x**3 + 0 + 3/5*x**5 + 0*x**2 + 0*x**4 - 4/15*x**6 - 5*x. Factor c(f).
-4*f*(f - 1)**2*(2*f + 1)
Let t(a) be the third derivative of 0 - 11/18*a**4 + 7/72*a**6 + 0*a + 38*a**2 + 4/9*a**3 + 23/90*a**5. Factor t(b).
(b + 2)*(5*b - 2)*(7*b - 2)/3
Let d(l) = 3*l**2. Let a(z) = -z**3 - 4*z**2 - 4*z - 2. Let o be a(-3). Let k be d(o). Factor 5 - 9*i - 1 - 4 - k*i**2.
-3*i*(i + 3)
Let j be (-1)/((-260)/(-4640)) + 18. What is n in -26 - j*n**2 + 4*n = 0?
13
Let d(v) be the first derivative of -v**4/3 - 76*v**3/9 + 2*v**2/3 + 76*v/3 + 62. Suppose d(f) = 0. What is f?
-19, -1, 1
Let l(s) be the second derivative of 3*s**5/80 + 3*s**4/8 + 11*s**3/8 + 9*s**2/4 + 4*s + 61. Factor l(r).
3*(r + 1)*(r + 2)*(r + 3)/4
Let j be (-3)/(2 - -82)*(8 - 10). Let d(f) be the second derivative of 0*f**2 - 1/98*f**7 + 0 - 9/70*f**5 - 3*f - 2/35*f**6 - j*f**3 - 1/7*f**4. Factor d(g).
-3*g*(g + 1)**4/7
Let p(f) = 5*f**4 + 31*f**3 + 123*f**2 + 91*f - 247. Let o(u) = 44*u**4 + 278*u**3 + 1106*u**2 + 822*u - 2224. Let d(g) = 6*o(g) - 52*p(g). Factor d(x).
4*(x - 1)*(x + 5)**3
Let i(b) be the first derivative of 3*b**5/10 - 3*b**3/2 + 3*b**2/2 + 40. Factor i(s).
3*s*(s - 1)**2*(s + 2)/2
Factor -7/4*o**3 - 23/2*o**2 - 87/4*o - 9.
-(o + 3)**2*(7*o + 4)/4
Let v(h) be the second derivative of -2/15*h**4 + 1/25*h**6 + 1/105*h**7 + 0*h**5 + 0*h**3 + 12*h + 0*h**2 + 0. Factor v(i).
2*i**2*(i - 1)*(i + 2)**2/5
Let -25/2*u**2 - 35/3*u + 0 - 5/6*u**3 = 0. Calculate u.
-14, -1, 0
Let g be (-2)/(-9) + (-704)/(-72). Suppose 4*x + 2 - g = 0. Factor 17*m - 5 - 7*m**2 + 3*m + 22*m**x + 10.
5*(m + 1)*(3*m + 1)
Let s(v) be the third derivative of -v**8/15120 - v**7/5670 + v**6/810 - 2*v**4 + 26*v**2. Let c(a) be the second derivative of s(a). Factor c(d).
-4*d*(d - 1)*(d + 2)/9
Factor -1/3*h**3 + h**2 + 0 - 2/3*h.
-h*(h - 2)*(h - 1)/3
Let n(u) be the second derivative of -5*u**6/6 + u**5/2 + 25*u**4/12 - 5*u**3/3 - 179*u. Suppose n(h) = 0. Calculate h.
-1, 0, 2/5, 1
Let c = -7457 - -7459. Factor 8/7*x - 2/7*x**c - 8/7.
-2*(x - 2)**2/7
Let m be -3*(-1)/2 + (-738)/(-492). Let j = -2 + 2. Factor -4/5*l**2 + 0 + j*l - 6/5*l**m.
-2*l**2*(3*l + 2)/5
Let a(v) be the first derivative of v**5/15 + 3*v**4/2 - 40*v**3/9 + 432. Suppose a(w) = 0. What is w?
-20, 0, 2
Let d be 1/(-7)*(-1596)/912. Determine g, given that -1/4*g**3 + 0*g**2 + d*g - 1/8*g**4 + 1/8 = 0.
-1, 1
Let o(y) be the third derivative of -y**6/24 + 8*y**5/15 - 37*y**4/24 + 5*y**3/3 - 111*y**2. Factor o(h).
-(h - 5)*(h - 1)*(5*h - 2)
Let l(a) = a**3 - 5*a**2 + 34*a - 34. Let h(n) = n**3 + n + 1. Let f(p) = 4*h(p) - 2*l(p). Factor f(o).
2*(o - 2)**2*(o + 9)
Let k(f) be the second derivative of -1/2*f**2 + 0 - 1/12*f**4 - 13*f - 1/3*f**3. Factor k(r).
-(r + 1)**2
Let z(k) be the third derivative of 0 + 0*k - 1/1260*k**7 - 29*k**2 + 0*k**4 - 1/2016*k**8 + 1/360*k**5 + 1/720*k**6 + 0*k**3. Factor z(l).
-l**2*(l - 1)*(l + 1)**2/6
Factor -10*x + 5/2*x**2 - 25/2.
5*(x - 5)*(x + 1)/2
Let d(s) be the first derivative of -3*s**4/16 + 7*s**3/4 + 51*s**2/8 + 27*s/4 + 59. Factor d(f).
-3*(f - 9)*(f + 1)**2/4
Let b(p) = 37*p**3 - 13*p**2. Let m(w) = -18*w**3 + 7*w**2. Let a(j) = 3*b(j) + 7*m(j). Factor a(l).
-5*l**2*(3*l - 2)
Let z(v) be the second derivative of 5*v**7/126 - v**6/9 - v**5/6 + 10*v**4/9 - 35*v**3/18 + 5*v**2/3 - 69*v. Let z(u) = 0. Calculate u.
-2, 1
Let c(o) be the third derivative of -o**5/90 - 11*o**4/36 + 80*o**3/9 + 117*o**2. Solve c(q) = 0 for q.
-16, 5
Let j be (-2)/(-6) + (-1)/(-3). Suppose 4*i - 4*k - 1 = i, -i - 4*k = -11. Find c such that -8/3 + j*c**i + 16/3*c - 10/3*c**2 = 0.
1, 2
Let h(m) be the first derivative of -16*m - 1/4*m**4 - 4*m**2 + 7/3*m**3 + 18. Factor h(c).
-(c - 4)**2*(c + 1)
Suppose -49*s + 63*s = 56. Let t(j) be the first derivative of -1/2*j**3 + 0*j**2 - 8 + 3/8*j**s + 0*j. Factor t(b).
3*b**2*(b - 1)/2
Let 64*b**2 - b**3 + 0*b**3 + 0*b**3 + 62*b**2 - 128*b**2 + 7*b - 4 = 0. Calculate b.
-4, 1
Let j(o) be the second derivative of -o**7/5880 + o**5/280 + 2*o**4/3 + 14*o. Let r(y) be the third derivative of j(y). Factor r(v).
-3*(v - 1)*(v + 1)/7
Suppose -4*p = -3*p - 4*y + 5, -4*y = -8. Find j such that 0*j + 1/6*j**4 - 1/6*j**2 + 0 - 2/3*j**p + 2/3*j**5 = 0.
-1, -1/4, 0, 1
Let h(z) be the third derivative of 1/54*z**4 + 0*z + 0*z**3 + 1/3024*z**8 + 0 + 1/45*z**5 + 1/315*z**7 + 13/1080*z**6 + 7*z**2. Determine u so that h(u) = 0.
-2, -1, 0
Let a(l) = -6*l**2 - 82*l - 84. Let m(x) = x**2 - 2*x - 1. Let n(f) = -a(f) - 4*m(f). What is z in n(z) = 0?
-44, -1
Factor -1/4*b**3 - 261/4*b**2 - 22707/4*b - 658503/4.
-(b + 87)**3/4
Let c(h) = 9*h**2 + 138*h + 47. Let v be c(-15). Suppose 10/19*b - 2/19*b**v + 0 = 0. What is b?
0, 5
Suppose -3*g - 2*v + 20 = 0, 5*v - 17 = -5*g + 3*g. Factor -1 - 1 - 2 + g - 2*j**2.
-2*(j - 1)*(j + 1)
Let z(w) be the first derivative of -5*w**6/18 - 6*w**5 - 40*w**4 - 800*w**3/9 + 151. Factor z(d).
-5*d**2*(d + 4)**2*(d + 10)/3
Suppose -2*t + 25 = -3*o + 8*o, 5*t = 5*o + 10. Suppose 12 = 4*x + 3*n, t*n = 2*x + 3*x + 20. Factor -3/4*h**3 + x*h + 3/4*h**2 + 0.
-3*h**2*(h - 1)/4
Let s = 39969/28535 + -4/5707. Factor 2/5*f**3 - 14/5*f - s*f**2 - 1.
(f - 5)*(f + 1)*(2*f + 1)/5
Let k(l) = 3*l + 2. Let s be k(0). Determine u so that -s*u**4 - 4*u**2 - u**3 + 3*u**4 + 3*u**2 + u**5 + 0*u**5 = 0.
-1, 0, 1
Let j(a) = a**3 - a + 4. Let g be j(0). Let o(t) be the third derivative of -1/390*t**5 + 0*t**3 + 0 - 2*t**2 + 1/156*t**g + 0*t. Factor o(s).
-2*s*(s - 1)/13
Let b(y) be the second derivative of -y**6/180 - y**5/45 + y**4/36 + 2*y**3/9 + 10*y**2 + 39*y. Let t(q) be the first derivative of b(q). Factor t(j).
-2*(j - 1)*(j + 1)*(j + 2)/3
Let r(i) be the third derivative of -i**6/840 + i**5/84 + i**4/12 - 31*i**2 + i. Factor r(m).
-m*(m - 7)*(m + 2)/7
Suppose 5*r - 156 - 159 = -5*u, 2*r + 48 = u. Factor 2*l**3 - l**4 + 28 - u + 31 - 2*l.
-(l - 1)**3*(l + 1)
Let s(c) be the first derivative of 10 + 0*c - 4/27*c**3 - 1/18*c**4 - 1/9*c**2. Factor s(g).
-2*g*(g + 1)**2/9
Factor -5/2*g**2 + 1/2*g**4 + 1/2*g**5 - g + 0 - 3/2*g**3.
g*(g - 2)*(g + 1)**3/2
Suppose -4*c + 7*c - 5*s = 5, -3*s = -5*c + 3. Let g = 3 - c. Factor 50*d**2 - 18*d**2 - 3*d - 13*d + 28*d**g - 20*d**4.
-4*d*(d - 2)*(d + 1)*(5*d - 2)
Let v(x) = 3*x**4 + 7*x**3 + x**2 - 11*x. Let k(q) = 10*q**4 + 22*q**3 + 2*q**2 - 35*q + 1. Let d(n) = -4*k(n) + 13*v(n). Let d(t) = 0. What is t?
-1, 1, 4
Let n(x) = 15*x**3 - 18*x**2 - 8*x - 6. Let q(s) = 29*s**3 - 35*s**2 - 14*s - 11. Let h(a) = -11*n(a) + 6*q(a). Factor h(r).
r*(3*r - 2)**2
Factor 32/7*m**2 + 2*m**3 - 12/7 - 34/7*m.
2*(m - 1)*(m + 3)*(7*m + 2)/7
Factor 1/9*