 be the third derivative of j**5/3 + j**4/12 - 2*j**3/3 - 187*j**2. Factor b(i).
2*(2*i + 1)*(5*i - 2)
Let v(q) = 95*q - 90. Let j be v(1). Let a(l) be the second derivative of 4*l - 40/3*l**3 - 16*l**2 - 7/5*l**j + 0 - 6*l**4 - 2/15*l**6. Factor a(g).
-4*(g + 1)*(g + 2)**3
Let b be (-2)/(-67*27 - 4). Let s = 27211/14504 - b. Let -9/8*l**2 - 3/4*l**4 + 3/8 + s*l**3 - 3/8*l = 0. What is l?
-1/2, 1
Suppose 4*c - 20 = -0*c. Let l be (-4)/(3 - c) - 0. Factor 12 - 9*m**l + 7*m**2 + 16*m + 6*m**2.
4*(m + 1)*(m + 3)
Determine h, given that -1/5*h**3 + 392/5 + 388/5*h + 94/5*h**2 = 0.
-2, 98
Let d(u) be the third derivative of -u**6/96 + u**5/6 - 25*u**4/96 - 35*u**3/12 + 8*u**2 + 11. Factor d(n).
-5*(n - 7)*(n - 2)*(n + 1)/4
Let c(v) = -15*v + 112. Let k be c(7). Suppose u - u = -k*u. Factor -2/3*t**4 - 4/3*t**2 + 0*t - 2*t**3 + u.
-2*t**2*(t + 1)*(t + 2)/3
Let d(v) be the second derivative of v**7/1890 - v**6/2160 + 4*v**4/3 + 15*v. Let g(b) be the third derivative of d(b). Suppose g(j) = 0. Calculate j.
0, 1/4
Let g(u) = -u**2 + 52*u - 98. Let b be g(2). Factor 8/5*t - 2/5*t**b - 6/5.
-2*(t - 3)*(t - 1)/5
Let l be (-4)/6*3 + (9 - -14). Let q be (l/(-12))/(-7) - (-3)/(-12). Factor -2/9*r**3 + 0 - 8/9*r**5 + q*r + 0*r**2 + 10/9*r**4.
-2*r**3*(r - 1)*(4*r - 1)/9
Let x(y) = -y**3 + 6*y**2 + 2*y + 2. Let z(v) = -v**3 + 3*v**2 + v + 1. Let u(b) = 3*x(b) - 6*z(b). What is l in u(l) = 0?
0
Let w(j) be the second derivative of 0 - 3/4*j**3 - 16*j + 1/8*j**4 + 3/2*j**2. Find x such that w(x) = 0.
1, 2
Let w be (-8)/6 + (-11)/(-33). Let z be 1/(w + 2 + 1). Find x such that -z*x - 1/4*x**2 + 0 = 0.
-2, 0
Let x(j) = -j**3 + 5*j**2 + 4*j - 12. Let i be x(4). Factor 21 - 11 + 5*s**3 + 15*s - 3*s**2 - i*s**3 - 5*s**4 - 2*s**2.
-5*(s - 1)*(s + 1)**2*(s + 2)
Let -155/4*b**2 + 0 - 70*b**3 - 5*b + 20*b**4 = 0. Calculate b.
-1/4, 0, 4
Let t(o) be the second derivative of 1/24*o**4 - 1/40*o**5 + 1/12*o**3 + 0*o**2 - 1/60*o**6 + 3*o + 0. Factor t(q).
-q*(q - 1)*(q + 1)**2/2
Let d(x) be the first derivative of 0*x + 2/5*x**2 + 2/5*x**3 + 0*x**4 + 23 - 2/25*x**5. Determine g, given that d(g) = 0.
-1, 0, 2
Let w(b) = 6*b**3 - 61*b**2 + 789*b - 5. Let n(x) = 7*x**3 - 62*x**2 + 790*x - 6. Let j(g) = -5*n(g) + 6*w(g). Determine l, given that j(l) = 0.
0, 28
Let u(h) be the second derivative of h**6/120 + 7*h**5/40 - 3*h**3/2 + 26*h. Let c(t) be the second derivative of u(t). Solve c(y) = 0 for y.
-7, 0
Let j = 17041/12 + -1420. Let v(f) be the third derivative of 0 + 0*f**3 + 0*f**4 + 2*f**2 + 1/24*f**6 + 0*f + j*f**5. Suppose v(p) = 0. What is p?
-1, 0
Let y(b) = -14*b**2 + 11*b - 5. Let d(m) = -22*m**2 + 16*m - 8. Let s(w) = 5*d(w) - 8*y(w). Factor s(o).
2*o*(o - 4)
Solve -10/7 + 1/7*u**3 + 17/7*u - 8/7*u**2 = 0 for u.
1, 2, 5
Let t(v) be the second derivative of v**5/360 + v**4/24 + v**3/4 + 15*v**2/2 + 7*v. Let y(o) be the first derivative of t(o). Determine h so that y(h) = 0.
-3
Let b(z) = -z**2 - 2*z + 1. Let x(f) = -36*f**2 + 1443*f - 409. Let a(k) = -b(k) + x(k). Factor a(y).
-5*(y - 41)*(7*y - 2)
Let w(n) = -n**3 - 12*n**2 + n + 15. Let h be w(-12). Solve 155*a**3 - 60*a**4 - 45*a**5 - 62*a**3 + 60*a**2 + 20*a - 68*a**h = 0.
-1, -2/3, 0, 1
Let q(u) be the first derivative of u**4/6 + u**3/3 - 31*u + 35. Let b(p) be the first derivative of q(p). Factor b(f).
2*f*(f + 1)
Let c be ((-20685)/12)/(-5) + 0/2. Let r = 347 - c. Let -r*o**2 + 5/4*o**3 + 0 - 7/4*o**5 + 1/2*o + 9/4*o**4 = 0. What is o?
-1, 0, 2/7, 1
Let o(n) be the third derivative of -n**7/105 + n**6/15 - n**5/6 + n**4/6 - 119*n**2. Factor o(i).
-2*i*(i - 2)*(i - 1)**2
Let g(p) be the third derivative of p**6/168 + p**5/60 - 82*p**2. Suppose g(s) = 0. Calculate s.
-7/5, 0
Factor -4*w**2 - 5*w**2 + 3*w**3 + 4*w**2 - 7*w**2.
3*w**2*(w - 4)
Let d(q) be the second derivative of 0 - 14*q - 8/3*q**3 - 12*q**2 + 1/6*q**4 + 1/10*q**5. Factor d(h).
2*(h - 3)*(h + 2)**2
Let o(k) = 5*k**5 - 2*k**4 + 3*k**3 + 3*k**2 - 3*k - 3. Let w(u) = u**5 + u**3 + u**2 - u - 1. Let y(n) = o(n) - 3*w(n). Factor y(d).
2*d**4*(d - 1)
Let x be (24/(-4) - -4)*10/(-4). What is b in 1 - 3 + x*b - 8*b**4 - b**3 - 3*b**2 + 9*b**4 = 0?
-2, 1
Let z(j) be the first derivative of 0*j**2 + 0*j**3 + 1/5*j**5 + 0*j**4 + 0*j - 1/2*j**6 + 49. Find i such that z(i) = 0.
0, 1/3
Suppose -20*v - 21 = -27*v. Let g(k) be the first derivative of -2/3*k + k**2 - 1/30*k**5 + 1/4*k**4 + 5 - 13/18*k**v. Suppose g(s) = 0. What is s?
1, 2
Let y(x) = -1 - x - 2*x**2 + 0*x**3 + x**3 + x**2. Suppose -7*t = 40 + 2. Let b(f) = 5*f**3 + 39*f**2 + 57*f + 30. Let k(r) = t*y(r) - 2*b(r). Factor k(g).
-2*(2*g + 3)**3
Let s(n) = -3*n**2 - 18*n - 8 + 25*n + n**2 + 7. Let o be s(3). Factor o*q**2 - 1/4*q**5 + 1/2*q**3 + 1/2 - 1/2*q**4 + 7/4*q.
-(q - 2)*(q + 1)**4/4
Let -60*v**2 - 3*v**4 - v + 37*v**3 - 2*v**4 + 10*v + 11*v**4 - 12*v**4 = 0. What is v?
0, 1/6, 3
Let g(q) = 2*q**2 + 90*q - 88. Let a be g(-46). Determine r so that -39/7*r**2 - 3/7*r**a - 12/7 + 36/7*r + 18/7*r**3 = 0.
1, 2
Let f(h) be the second derivative of -h**8/112 + h**7/21 - 7*h**6/72 + h**5/12 - 3*h**3/2 - 6*h. Let q(a) be the second derivative of f(a). Factor q(i).
-5*i*(i - 1)**2*(3*i - 2)
Let y = 120 - -77. Solve -197 + 2*x**3 - x**4 + y = 0.
0, 2
Let f(o) be the third derivative of -o**9/756 + o**8/84 - o**7/30 + o**6/30 - 2*o**3 + 5*o**2. Let u(q) be the first derivative of f(q). Solve u(m) = 0 for m.
0, 1, 3
Find j, given that 28/11*j**2 - 2/11*j**3 + 60/11 - 86/11*j = 0.
1, 3, 10
Suppose -7*o + 10*o - 90 = 0. Suppose o = 9*r + r. Factor -2/5*s**4 - 6/5*s**2 + 2/5*s + 0 + 6/5*s**r.
-2*s*(s - 1)**3/5
Let s(a) be the second derivative of a**5/60 + 131*a**4/36 + 259*a**3/18 + 43*a**2/2 + a + 69. Suppose s(o) = 0. What is o?
-129, -1
Let t(x) be the third derivative of 0 + 0*x + 11/60*x**6 + 4/105*x**7 + 0*x**3 + 3/8*x**4 + 2/5*x**5 + 1/336*x**8 - x**2. Factor t(v).
v*(v + 1)**2*(v + 3)**2
Let h(k) be the third derivative of 0*k + 1/60*k**5 + 0*k**3 + 13/24*k**4 + 0 + 27*k**2. Solve h(r) = 0 for r.
-13, 0
Let 3*m**2 + 2007 - 2007 + 12*m = 0. What is m?
-4, 0
Let m = -179352/7 + 25622. Factor -18/7 - 6/7*a - m*a**3 + 10/7*a**2.
-2*(a - 3)**2*(a + 1)/7
Suppose 13*t + 9 = 61. Let s(c) be the second derivative of -1/9*c**2 + 1/189*c**7 + 5/27*c**3 - 1/27*c**6 + 1/9*c**5 - 5/27*c**t + 4*c + 0. Factor s(w).
2*(w - 1)**5/9
Suppose -5*g + 4 - 4 = -14*g. Determine y so that -8/7*y**3 + g*y**2 + 0*y + 4/7*y**4 + 0 = 0.
0, 2
Suppose 4*m - 3*y = 31, 5*y + 37 = -4*m + 7*m. Suppose 4*a = 5*c + 7*a - 25, -20 = -m*a. Find w, given that 0 + 3*w**c - 6/7*w = 0.
0, 2/7
Let i = 179 + -177. Let h(d) be the first derivative of 1/30*d**5 - 1/18*d**3 + 0*d**4 + 0*d + 3 + 0*d**i. Let h(b) = 0. What is b?
-1, 0, 1
Suppose -23*f + 20*f - 2*z = 0, 7*z = -f - 19. Determine h, given that -7/2*h + 1/2*h**f + 7/2*h**3 + 1 - 3/2*h**4 = 0.
-1, 1/3, 1, 2
Let l = 3247/4065 - -1/813. Solve 0 - 2/5*b**2 - l*b**3 + 2/5*b = 0 for b.
-1, 0, 1/2
Suppose 0 = h - z - 9, -2*z = 5 + 5. Let w be 2/h - (-1 + 114/108). Find j such that 0 - 2/9*j**2 + 2/9*j**4 - 4/9*j + w*j**3 = 0.
-2, -1, 0, 1
Let m(h) be the third derivative of 2/35*h**5 + 1/14*h**4 + 0*h**3 + 0*h + 22*h**2 + 1/490*h**7 + 0 + 1/56*h**6. Let m(f) = 0. What is f?
-2, -1, 0
Let h be ((-2)/(-8))/(16/((-32)/(-25)) + -12). Factor -4 - 5/2*j**3 + 2*j + h*j**4 + 3*j**2.
(j - 2)**3*(j + 1)/2
Let v be (-6)/1005*(28/16 - -2). Let k = 235/1474 - v. Factor 2/11*a - k*a**3 + 2/11 - 2/11*a**2.
-2*(a - 1)*(a + 1)**2/11
Solve 7/2 + 33/4*k**2 + 37/4*k + 11/4*k**3 + 1/4*k**4 = 0 for k.
-7, -2, -1
Let s(v) = v**2 - 11*v - 24. Let t be s(13). Find d such that 4 + 0*d**t + 7*d**2 + 5*d - 6*d**2 = 0.
-4, -1
Let m(c) = 10*c**4 - 81*c**3 + 91*c**2 + 149*c. Let r(n) = 2*n**4 - 16*n**3 + 18*n**2 + 30*n. Let h(d) = -2*m(d) + 11*r(d). Find f, given that h(f) = 0.
-1, 0, 4
Let l(a) be the first derivative of -a**7/63 + a**6/45 - 10*a - 2. Let t(w) be the first derivative of l(w). Factor t(z).
-2*z**4*(z - 1)/3
Let j(b) be the second derivative of -b**5/25 - 8*b**4/15 + 16*b - 3. Factor j(q).
-4*q**2*(q + 8)/5
Let l(o) = -12*o - 42. Let m be l(-4). Let v(k) be the second derivative of 0*k**3 + 0*k**5 - 5*k + 0*k**2 + 0*k**4 + 0 + 1/120*k**m. Find y such that v(y) = 0.
0
Let d be ((-61)/5)/(2/(-10)). Suppose d*l