1/3*s**2 = 0?
1, 10
Let o(w) be the first derivative of -4/51*w**3 + 7 - 6/17*w + 7/17*w**2. Factor o(v).
-2*(v - 3)*(2*v - 1)/17
Let l(z) be the third derivative of -z**8/2016 - z**7/210 - z**6/240 + 23*z**5/180 + 3*z**4/4 + 2*z**3 + 3*z**2 - 9. Find q such that l(q) = 0.
-3, -2, 3
Let 0 - 4/3*t**3 - 19/6*t**2 + 1/6*t**4 - 5/3*t = 0. Calculate t.
-1, 0, 10
Let m(k) be the second derivative of 6*k + 5/3*k**3 + 0*k**2 - 5/12*k**4 - 2. Factor m(r).
-5*r*(r - 2)
Let y(q) be the first derivative of q**5/35 - 3*q**4/28 - 5*q**3/21 + 3*q**2/14 + 4*q/7 + 219. Factor y(n).
(n - 4)*(n - 1)*(n + 1)**2/7
Let f(l) be the third derivative of -16*l**2 + 1/44*l**4 - 4/33*l**3 + 1/330*l**5 + 0*l + 0. Factor f(m).
2*(m - 1)*(m + 4)/11
Let x be (0*1/(-3))/((-6)/2). Let y(t) be the second derivative of x*t**3 + 3/20*t**5 + 0*t**2 + 0*t**4 + 0 + 4*t. Factor y(d).
3*d**3
Let b(q) be the first derivative of 3/4*q**4 - 1 - 3/2*q**2 + 3*q - q**3. Factor b(j).
3*(j - 1)**2*(j + 1)
Let z(f) = -4*f**3 - 32*f**2 + 122*f - 144. Let r(j) = 2*j**2 + j. Let k(b) = -6*r(b) - z(b). Factor k(c).
4*(c - 2)**2*(c + 9)
Let 20/13*x**2 - 4/13 - 16/13*x**4 - 6/13*x + 0*x**3 + 6/13*x**5 = 0. Calculate x.
-1, -1/3, 1, 2
Let n = -9/260 - -37/130. Factor n + 1/4*m**2 + 1/2*m.
(m + 1)**2/4
Let j be 6/36*3*1. Let m be (((-285)/(-30) + -8)/(-2 - 1))/(-1). Factor m - j*r**2 + 1/2*r - 1/2*r**3.
-(r - 1)*(r + 1)**2/2
Let p(j) be the third derivative of 1/10*j**6 + 1/6*j**4 + 20*j**2 + 1/5*j**5 + 0*j + 2/105*j**7 + 0*j**3 + 0. Factor p(z).
4*z*(z + 1)**3
Let c(p) be the first derivative of -p**4/24 + p**3 + p**2/3 - 12*p - 101. Factor c(g).
-(g - 18)*(g - 2)*(g + 2)/6
Suppose -7*m + 10*m + 12 = -4*k, -4*k = m + 4. Factor k*a - 1/2*a**2 + 0 - 1/4*a**3.
-a**2*(a + 2)/4
Let j = 69/13 - 111/65. Factor -j*p**2 - 8/5 + 24/5*p.
-2*(3*p - 2)**2/5
Let g(q) be the first derivative of -6/5*q - 3/4*q**4 - 21/10*q**2 - 31 - 3/25*q**5 - 9/5*q**3. Suppose g(w) = 0. What is w?
-2, -1
Let l = 1486400650/1733301 - 627021/841. Let i = l + -201/229. Factor -16/9 + i*a**4 - 56/9*a + 20*a**2 + 950/9*a**3.
2*(4*a - 1)*(5*a + 2)**3/9
Let w(s) = 8*s**3 - 14*s**2. Let i(x) = -x**3 + 2*x**2. Let t be (-10)/75 - (-32)/15. Suppose 5*h - t = -32. Let c(n) = h*w(n) - 44*i(n). Factor c(k).
-4*k**2*(k + 1)
Let z(a) be the second derivative of 5*a**4/12 + 35*a**3/6 + 6*a + 3. Factor z(l).
5*l*(l + 7)
Suppose 2*q - 11 = -0*b - b, 4*q = 4*b + 16. Let r(k) be the first derivative of 0*k + 0*k**3 + 1/5*k**2 - 1/10*k**4 + b. Factor r(a).
-2*a*(a - 1)*(a + 1)/5
Let d = 22 - 24. Let u = d + 7. Factor -2*a + 7*a + 2*a**3 + 0*a**3 + u*a - 8*a**2 - 4.
2*(a - 2)*(a - 1)**2
Let g = 251/6 - 247/6. Solve g*i**2 + 20/3*i + 50/3 = 0.
-5
Let a(l) be the third derivative of -l**6/60 - 3*l**5/10 - 9*l**4/4 - 9*l**3 - 153*l**2. Factor a(d).
-2*(d + 3)**3
Suppose -4*w + 34 = 5*u - 21, 0 = w + 5*u - 25. Let s(k) = -k**3 + 10*k**2 + 2. Let g be s(w). Factor g*h - 16 - 2*h**2 + 14*h - h**2 - h**2.
-4*(h - 2)**2
Let q(i) = -85*i**2 + 15390*i + 438670. Let m(y) = 3*y**2 - 570*y - 16247. Let z(t) = -55*m(t) - 2*q(t). What is k in z(k) = 0?
-57
Let i(d) = -d**2 - 18*d - 14. Let j be i(-17). Factor -r**3 + 2*r**3 + 4*r**j + 4 - 3*r**2 - 7*r**3 + 4*r + r**4.
(r - 2)**2*(r + 1)**2
Let g(q) = q**2 + 2*q + 5 - 1 + 4*q. Let o be g(-6). Factor 13*k**2 + 2*k**o - 3*k**5 + 0*k**2 - k**2 - 11*k**4.
-3*k**2*(k - 1)*(k + 2)**2
Suppose -17*z = -75*z + 232. Let k(g) be the first derivative of -1/4*g - 3/8*g**z - 3/4*g**2 + 1 - 11/12*g**3. Factor k(f).
-(f + 1)*(2*f + 1)*(3*f + 1)/4
Let x = 219 - 219. Let y(b) be the first derivative of 1/3*b**4 + 2/15*b**5 + x*b**2 - 1/9*b**6 - 2 + 0*b**3 + 0*b. Factor y(j).
-2*j**3*(j - 2)*(j + 1)/3
Factor -7*a**2 + 3*a**2 + 5*a**3 + 4*a**5 + 4*a**4 - 9*a**3.
4*a**2*(a - 1)*(a + 1)**2
Let y(x) = -28*x**4 - 99*x**3 - 70*x**2 + 37*x + 5. Let h(m) = 14*m**4 + 49*m**3 + 34*m**2 - 19*m - 3. Let z(t) = 10*h(t) + 6*y(t). Solve z(v) = 0 for v.
-2, 0, 2/7
Let v be (6/4*-1)/(9/(-318)). What is p in 27 + p - v + 22 - p**3 + 4*p**2 = 0?
-1, 1, 4
Determine x so that -8*x**3 + 0*x + 12/5*x**2 + 0 + 16/5*x**5 - 36/5*x**4 = 0.
-1, 0, 1/4, 3
Let x be (-16)/2 - (-90 - -82). Let q(y) be the first derivative of 1 + 0*y + x*y**3 + 1/17*y**2 - 1/34*y**4. Solve q(s) = 0.
-1, 0, 1
Let z(n) = n**3 - 3*n**2 - 5*n + 8. Let s be z(4). Determine h so that 8*h**2 - 6*h**4 + 7*h**4 - 8*h**3 + 12*h + 4 - 13*h**s - 4*h**5 = 0.
-1, 1
Let d(b) be the third derivative of 0 - 15/2*b**3 + 0*b - 12*b**2 + 5/4*b**4 - 1/12*b**5. Determine o, given that d(o) = 0.
3
Let i(w) be the third derivative of -1/3*w**3 + 1/12*w**4 + 1/30*w**5 + 0 - 1/60*w**6 + 6*w**2 + 0*w. Factor i(b).
-2*(b - 1)**2*(b + 1)
Let k be 68/255*(-3)/(-12). Let d(b) be the second derivative of 0*b**2 + k*b**3 - 1/75*b**6 - 1/50*b**5 + 1/30*b**4 + 0 + 5*b. Factor d(p).
-2*p*(p - 1)*(p + 1)**2/5
Suppose r - 6 = -4. Factor 5*c**5 + 0*c**3 - 85*c**4 - 5*c**3 + 80*c**4 + 5*c**r.
5*c**2*(c - 1)**2*(c + 1)
Let v(l) = l**3 - 15*l**2 + 47*l - 12. Let c be v(4). Factor 1/3*r**4 + c*r + 0 + 0*r**2 - 1/3*r**3.
r**3*(r - 1)/3
Let g(u) be the second derivative of 3*u**5/80 + 3*u**4/16 + u**3/4 - 39*u + 2. Factor g(l).
3*l*(l + 1)*(l + 2)/4
Let r(i) be the first derivative of -i**5/40 + 5*i**4/24 - 2*i**3/3 + i**2 - 14*i + 13. Let v(k) be the first derivative of r(k). Factor v(t).
-(t - 2)**2*(t - 1)/2
Let u = -29 + 33. Let 52 + 3*p - 52 - u*p**2 + p = 0. What is p?
0, 1
Let n(y) be the first derivative of -2*y**3/21 - 31*y**2/7 - 60*y/7 - 154. Determine t, given that n(t) = 0.
-30, -1
Let x be ((-14)/6 - -1)*(-15)/10. Determine w, given that 37*w**2 - 18*w - 2*w**4 + 4*w**4 - 7*w**x - 14*w**3 = 0.
0, 1, 3
Let p(f) be the first derivative of 25 + 0*f**2 + 0*f + 4/3*f**3 + 4/5*f**5 + 2*f**4. Find h such that p(h) = 0.
-1, 0
Let w(k) be the second derivative of -k**7/189 - 2*k**6/135 + 2*k**5/45 + k**4/27 - k**3/9 + k + 223. Find t, given that w(t) = 0.
-3, -1, 0, 1
Let r(q) be the third derivative of q**9/4032 + q**8/2240 - q**7/140 + q**6/60 - 2*q**5/15 - 9*q**2. Let j(h) be the third derivative of r(h). Factor j(n).
3*(n - 1)*(n + 2)*(5*n - 2)
Let i(r) be the third derivative of -5*r**8/336 - 5*r**7/42 + 7*r**6/12 + 40*r**2. Factor i(a).
-5*a**3*(a - 2)*(a + 7)
Let j(g) be the first derivative of -3*g**4/4 - 3*g**3 + 9*g**2 + 24*g + 533. Determine b so that j(b) = 0.
-4, -1, 2
Let -10 - 14/3*b + 14/3*b**2 - 2/3*b**3 = 0. What is b?
-1, 3, 5
Let o(v) be the first derivative of v**3/15 + v**2/10 - 6*v/5 + 90. Factor o(h).
(h - 2)*(h + 3)/5
Suppose 52*n = -150*n + 606. Factor -2/3*q**4 - 14/3*q**2 - 1/3*q**5 + 4*q**n + 0 + 5/3*q.
-q*(q - 1)**3*(q + 5)/3
Let q(x) be the third derivative of x**6/160 + 7*x**5/80 + 4*x**2 + 7. Determine n so that q(n) = 0.
-7, 0
Let s(i) = -i**3 + 40*i**2 - 244*i + 431. Let u be s(33). What is y in 2/7*y**5 + 18/7*y**3 + 4/7*y + 0 - u*y**2 - 10/7*y**4 = 0?
0, 1, 2
Suppose -25 - 41 = 11*a. Let v be (-20)/a - 12/36. Factor 0 - 3/2*r**2 + v*r.
-3*r*(r - 2)/2
Suppose -4*b - 504 = 4*h, -5*b + 4*h - 2*h - 616 = 0. Let o be (-1)/14 + b/(-217). What is t in 1/2*t**5 + 0*t**3 + 0 + t**4 - t**2 - o*t = 0?
-1, 0, 1
Factor -4/9*i**2 - 16/9 + 16/9*i.
-4*(i - 2)**2/9
Let s(l) be the third derivative of -l**8/1680 + 2*l**7/525 - l**6/300 - l**5/75 + l**4/40 - 10*l**2. Solve s(u) = 0 for u.
-1, 0, 1, 3
Determine o, given that -3/2*o**2 + 2*o**4 - 1/2 + 5/2*o**3 - 5/2*o = 0.
-1, -1/4, 1
Factor 13*f**3 - f**3 - 10*f**4 - 3*f**5 - f**5 + 2*f**4.
-4*f**3*(f - 1)*(f + 3)
Let q = 12 + -3. Let o = -7 + q. Let -4*b**4 + o*b**3 + 12*b + 0*b**2 - 14*b + 4*b**2 = 0. Calculate b.
-1, 0, 1/2, 1
Let z be 18/8 + 8/(-32). Suppose -z*b + v + 8 = 0, -2*v = 4*b - 0*b. Let q + 4*q**b + 0*q**4 - q**3 - q**4 - 3*q**2 = 0. What is q?
-1, 0, 1
Let u(d) = 238*d - 4998. Let z be u(21). Factor 16/17*y + z - 12/17*y**3 - 8/17*y**2 - 2/17*y**5 + 10/17*y**4.
-2*y*(y - 2)**3*(y + 1)/17
Let q = 258 + -255. Let k(p) = p**3 - 8*p**2 - 10*p + 12. Let x be k(9). Factor 3/2*u**5 + 0*u**x + 3*u**2 + 0 - q*u**4 - 3/2*u.
3*u*(u - 1)**3*(u + 1)/2
Find n, given that -2125*n**2 + 3*n**3 + 1162*n**2 + 1167*n**2 + n**3 + 200*n = 0.
-50, -1, 0
Let w(k) = -5*k - 26. Let r be w(-6). Let h(y) = -4*y**3 + 4*y**2 + 4*y - 8. Let q(f) = 1. Let n(b) = r*q(b