derivative of 0*j**3 - 3/20*j**5 + 0*j**2 + 0 - 1/14*j**7 - 1/5*j**p + 0*j**4 - 5*j. Factor z(s).
-3*s**3*(s + 1)**2
Let v(u) be the second derivative of 2*u**6/15 - 13*u**5/5 + 18*u**4 - 184*u**3/3 + 112*u**2 + 540*u. Factor v(c).
4*(c - 7)*(c - 2)**3
Suppose 222*b - 227*b = -4*l - 12, 3*b + 15 = -5*l. Factor b - 2/3*z**2 + 2/3*z - 2/3*z**3 + 2/3*z**4.
2*z*(z - 1)**2*(z + 1)/3
Let r(x) be the third derivative of -x**7/48 + x**6/24 + x**5/48 - 23*x**3/6 + 2*x**2. Let k(i) be the first derivative of r(i). Factor k(d).
-5*d*(d - 1)*(7*d + 1)/2
Suppose -j + 3*a - 6 = -0*j, j = -2*a + 9. Factor 38*n**3 + 35*n**2 + 10*n - 36*n**j + 5*n**5 + 25*n**4 + 43*n**3.
5*n*(n + 1)**3*(n + 2)
Let s(w) be the second derivative of 55*w**7/252 - 14*w**6/9 + 19*w**5/4 - 145*w**4/18 + 295*w**3/36 - 5*w**2 - 187*w. Factor s(d).
5*(d - 1)**4*(11*d - 12)/6
Suppose 17*s**4 - 5*s - 30*s**3 - 4465*s**5 + 4460*s**5 + 3*s**4 + 20*s**2 = 0. What is s?
0, 1
What is r in 0 + 0*r - 5/3*r**4 - r**2 - 7/3*r**3 - 1/3*r**5 = 0?
-3, -1, 0
Let t be (-4 + 52)*(6/(-135) - 0). Let h = 44/15 + t. Factor 8/5*y**3 - 4/5*y**4 - 8/5*y + h*y**2 + 0.
-4*y*(y - 2)*(y - 1)*(y + 1)/5
Let j(p) be the first derivative of 5*p**4/4 + 955*p**3/3 + 22560*p**2 - 46080*p - 129. Factor j(s).
5*(s - 1)*(s + 96)**2
Let y(p) be the first derivative of 10*p**3/27 + p**2/9 - 31. Factor y(d).
2*d*(5*d + 1)/9
Let n(s) be the third derivative of -s**5/420 - 55*s**4/84 - 769*s**2. Let n(b) = 0. What is b?
-110, 0
Suppose 3*r**2 + 76 - 135 + 77 - 2*r**2 + 19*r = 0. Calculate r.
-18, -1
Suppose 5*i - 165 - 70 = 0. Let t = i + -43. What is a in -2*a**3 - 18/11*a - 30/11*a**2 - 6/11*a**t - 4/11 = 0?
-1, -2/3
Let z(d) = 3 + 1 - 2 - d**2 + 13*d**2 - d**3. Let t be z(12). Factor -3/5*a + 3/5*a**t + 0.
3*a*(a - 1)/5
Let c(z) be the third derivative of z**5/80 - z**4/4 - 5*z**3/2 + 91*z**2 - z. Factor c(w).
3*(w - 10)*(w + 2)/4
Let r(n) be the first derivative of n**5 + 15*n**4 + 60*n**3 + 80*n**2 - 380. Determine z, given that r(z) = 0.
-8, -2, 0
Let y(o) be the first derivative of 40*o**6/3 + 200*o**5 + 2045*o**4/4 + 385*o**3/3 - 320*o**2 + 100*o - 62. Let y(d) = 0. What is d?
-10, -2, -1, 1/4
Let g(z) be the third derivative of z**8/16800 + z**7/2100 + z**6/900 + 7*z**4/24 - 8*z**2. Let s(v) be the second derivative of g(v). Factor s(n).
2*n*(n + 1)*(n + 2)/5
Let g(h) be the second derivative of -h**6/60 - h**5/10 - h**4/8 + h**3/3 + h**2 - 2*h + 3. Determine m, given that g(m) = 0.
-2, -1, 1
Let i(f) be the first derivative of f**7/210 + f**6/120 - f**5/15 - f**4/6 - 16*f**2 - 30. Let o(p) be the second derivative of i(p). Factor o(z).
z*(z - 2)*(z + 1)*(z + 2)
Factor -1/5*x**4 - 36/5*x - 9/5*x**3 - 16/5 - 28/5*x**2.
-(x + 1)*(x + 2)**2*(x + 4)/5
Let q be 366/45 + 4/(-150)*5. Let n(w) be the first derivative of 5/18*w**3 + 0*w - q + 1/6*w**2 + 1/6*w**4 + 1/30*w**5. Factor n(r).
r*(r + 1)**2*(r + 2)/6
Suppose -2*s - 1 + 5 = 0. Let u be (12 + -12)/(s*1). Factor 2*n**2 + 0*n**2 + 6*n + 0*n**2 + 4 + u*n**2.
2*(n + 1)*(n + 2)
Let m(k) be the second derivative of -k**5/12 + 55*k**4/4 - 1815*k**3/2 + 59895*k**2/2 - 16*k - 2. Solve m(o) = 0.
33
Let t(y) be the third derivative of 3*y**6/200 - 43*y**5/300 + 11*y**4/30 + 2*y**3/5 - 76*y**2 - 4. Factor t(w).
(w - 3)*(w - 2)*(9*w + 2)/5
Let j(h) be the second derivative of -1/3*h**4 + 9*h**2 - 7/15*h**6 + 0 + 7/5*h**5 + 54*h - 5*h**3 + 1/21*h**7. Find m, given that j(m) = 0.
-1, 1, 3
Factor -89*j + j**2 + 2352 - 50*j - 29*j + 2*j**2.
3*(j - 28)**2
Let j(f) be the second derivative of -23*f - 1/132*f**4 - 2/33*f**3 + 0 - 2/11*f**2. Determine t, given that j(t) = 0.
-2
Let p(c) = -3*c**2 - 195*c + 6. Let d(s) = 6*s**2 + 391*s - 13. Let a(l) = 6*d(l) + 13*p(l). Factor a(j).
-3*j*(j + 63)
Suppose -15*f + 21*f = 0. Let b(w) be the first derivative of 1 + 0*w + 1/25*w**5 + 0*w**2 - 1/15*w**3 + f*w**4. Factor b(g).
g**2*(g - 1)*(g + 1)/5
Let w(k) be the third derivative of -k**5/12 - 5*k**4/2 + 65*k**3/6 + 466*k**2. Factor w(y).
-5*(y - 1)*(y + 13)
Factor 39 + 42*z**3 + 173*z**2 - 13*z**4 + 34*z**4 + 261 - 18*z**4 + 420*z + 34*z**2.
3*(z + 2)**2*(z + 5)**2
Let z(v) be the third derivative of v**6/120 + 113*v**5/60 + 1045*v**4/8 - 1083*v**3/2 + 103*v**2. Solve z(c) = 0.
-57, 1
Let j(v) = 9*v**3 - 35*v**2 - 17*v. Let h(y) = 3*y**3 - 12*y**2 - 6*y. Let p = 28 - 24. Suppose p*x + 42 + 26 = 0. Let b(s) = x*h(s) + 6*j(s). Factor b(z).
3*z**2*(z - 2)
Let p(j) = -18*j - j**2 - 4 - 4 + 3 + 21*j. Let k be (-9)/(0 - 6/(-4)). Let l(o) = -5*o**2 + 17*o - 29. Let n(f) = k*l(f) + 34*p(f). Factor n(h).
-4*(h - 1)*(h + 1)
Factor -4900/11 + 136/11*a**2 + 2/11*a**3 + 2170/11*a.
2*(a - 2)*(a + 35)**2/11
Factor -8*b - 88 - 2/11*b**2.
-2*(b + 22)**2/11
Suppose d + 0*c - 3 = c, 2*d = c + 7. Suppose -d*a + 40 = 28. Find y, given that 2/5*y**a - 2/5*y**2 + 0*y + 0 = 0.
0, 1
Suppose -68*m = -65*m + 3*y + 12, -5*m - 12 = 3*y. Find x, given that 6/7*x + m - 1/7*x**3 - 5/7*x**2 = 0.
-6, 0, 1
Let f(b) be the first derivative of -2*b**5/5 + 5*b**4/2 - 10*b**3/3 - 5*b**2 + 12*b + 777. Find c such that f(c) = 0.
-1, 1, 2, 3
Let v(q) be the first derivative of q**5/120 - q**4/8 + 3*q**3/4 - 3*q**2/2 - 6. Let z(g) be the second derivative of v(g). Factor z(r).
(r - 3)**2/2
Suppose -3*i + 50 = -8*i. Let c = i + 12. Let -2*y**4 - 9*y**3 - 9*y**c + 3*y**3 + 12 + 5*y**4 + 12*y = 0. Calculate y.
-1, 2
Let y(u) = 9*u**3 + 32*u**2 + 48*u + 12. Let x(t) = 8*t**3 + 16*t + 4 + 11*t**2 + 8*t**3 - 13*t**3. Let w(n) = -7*x(n) + 2*y(n). Solve w(g) = 0.
-2, -1/3
Let z(a) be the second derivative of a**7/3360 + a**6/960 - a**5/80 - 7*a**4/6 + 11*a. Let o(c) be the third derivative of z(c). Suppose o(r) = 0. Calculate r.
-2, 1
Let j(h) be the first derivative of 5*h**3/6 + 5*h**2/4 + 150. Factor j(w).
5*w*(w + 1)/2
Let y(u) = -u**5 - u**3 - u + 1. Let a(t) = -6*t**5 - 6*t**4 - 17*t**3 - 10*t**2 - 8*t + 5. Let r(x) = a(x) - 5*y(x). Let r(n) = 0. Calculate n.
-3, -1, 0
Let z be (10/3)/((-4)/(-42)). Suppose -39*a + 35*a = -12. What is l in l + 35 - z - l**a = 0?
-1, 0, 1
Let p(o) be the first derivative of o**5/180 - o**4/72 - 5*o**2/2 + 24. Let v(g) be the second derivative of p(g). Factor v(q).
q*(q - 1)/3
Let k(i) = 55*i**3 + 190*i**2 + 55*i. Let a(q) = -6*q**3 - 6*q - 21*q**2 - 273 + 273. Let r(d) = 35*a(d) + 4*k(d). Factor r(p).
5*p*(p + 2)*(2*p + 1)
Let l(g) be the second derivative of 3*g**3 - 15*g + 0 - 1/12*g**4 - 81/2*g**2. Factor l(s).
-(s - 9)**2
Let k be (-408)/32*(-4 + -8). Let z = k - 153. Find y, given that -1/5*y**2 - 1/5*y**3 + z + 0*y = 0.
-1, 0
Let h(s) be the first derivative of -s**6/240 - s**5/120 + 4*s**2 - 4. Let f(z) be the second derivative of h(z). Factor f(p).
-p**2*(p + 1)/2
Let i be 40/(-14) + (-2)/(8 - -6). Let k be (i/(-9) + 0)*9. Find p, given that -6*p - 21/4*p**2 - 27/4*p**5 + k + 9/4*p**4 + 51/4*p**3 = 0.
-1, 2/3, 1
Let a = 296538/13 - 22808. Solve 8/13 - 10/13*k**3 + a*k**2 - 32/13*k = 0 for k.
2/5, 1, 2
Let i(d) be the first derivative of -2*d**6/9 + 2*d**4/3 - 2*d**2/3 - 289. Let i(s) = 0. Calculate s.
-1, 0, 1
Factor -62*n + 7870 - 3905 + 5*n**2 - 3941.
(n - 12)*(5*n - 2)
Let h(j) be the third derivative of -j**5/20 - 3*j**4/8 - j**3 + 321*j**2. Factor h(y).
-3*(y + 1)*(y + 2)
Let k be (0 - -4)*(31 + 5735/(-186)). Solve -1/6*q**5 - 1/2*q + k*q**3 + 0 - 1/3*q**4 + 1/3*q**2 = 0.
-3, -1, 0, 1
Let j be (2 - (-35)/(-14))/(-2). Let c(i) be the second derivative of -6*i + 0 - 1/20*i**5 - i**2 + 5/6*i**3 + 1/30*i**6 - j*i**4. Factor c(b).
(b - 1)**3*(b + 2)
Let x = 4018 + -4016. Suppose 400/7 + 4/7*c**x - 80/7*c = 0. What is c?
10
Let q(p) be the second derivative of 3*p**6/35 + 3*p**5/35 - 11*p**4/42 - 4*p**3/21 + 4*p**2/7 + 5*p - 2. Factor q(w).
2*(w + 1)**2*(3*w - 2)**2/7
Let x be (-2)/(-8) + (0 - 33/4). Let s be (-6)/243*3*48/x. Suppose -s*n**3 + 0*n - 2/9*n**2 - 2/9*n**4 + 0 = 0. Calculate n.
-1, 0
Let r = -54 + 56. Let i(q) be the second derivative of -3*q + 0 - 3*q**r + 2/3*q**3 - 1/18*q**4. Factor i(j).
-2*(j - 3)**2/3
Factor -14*r**4 - 244 + 420*r + 8*r**4 + 131*r**2 - 6*r**3 - 3483 - 1173 + 5*r**4.
-(r - 7)**2*(r + 10)**2
Let x = -1972 - -5917/3. Find b, given that 0*b + 5/3*b**3 + x*b**2 + 4/3*b**4 + 0 = 0.
-1, -1/4, 0
Let w(r) be the third derivative of -r**6/60 + 121*r**5/30 - 310*r**4 + 1