/3 - 11*s**2 - s. Let r(t) be the second derivative of p(t). Factor r(g).
-2*g**2/9
Let i(s) be the first derivative of 1/9*s**6 - 4/5*s**5 + 4/3*s**2 + 0*s - 8/3*s**3 + 13/6*s**4 + 13. Factor i(y).
2*y*(y - 2)**2*(y - 1)**2/3
Suppose 7/4*d**3 + 47/4*d**2 - 3 + 7*d = 0. Calculate d.
-6, -1, 2/7
Let m(l) be the first derivative of 4*l**3/9 + 26*l**2 + 152*l/3 - 84. Find h such that m(h) = 0.
-38, -1
Let y(l) be the second derivative of -5*l**4/21 + 29*l**3/21 + 3*l**2/7 - 249*l. Solve y(g) = 0.
-1/10, 3
Factor -1352/9 + 34/3*d**2 - 416/3*d - 2/9*d**3.
-2*(d - 26)**2*(d + 1)/9
Let r be (-130)/52*-1*(-36)/(-195). Solve -2/13*h - 6/13*h**3 - 2/13*h**4 - r*h**2 + 0 = 0.
-1, 0
Let 16*g - 292*g**4 - 2*g - 13*g**3 + 16*g**2 + 14*g + 291*g**4 = 0. Calculate g.
-14, -1, 0, 2
Solve 4*r**3 - 2181*r - 1728 + 648*r + 1101*r = 0.
-6, 12
Suppose 0 = -10*p + 17 + 23. Let k(m) be the second derivative of -8/3*m**3 - 1/2*m**4 - 3*m + 0 + 9/10*m**5 + p*m**2. Let k(z) = 0. Calculate z.
-1, 2/3
Let t = 47/927 + 1/206. Let l(v) be the first derivative of 0*v**2 - 2/3*v + t*v**3 + 1. Suppose l(d) = 0. Calculate d.
-2, 2
Let s = -32 - -36. Let 2*r**s + 12*r + 6*r - 2*r**3 + 6*r**2 - 8*r**3 = 0. Calculate r.
-1, 0, 3
Let b(h) be the second derivative of -h**6/30 + h**5/5 + h**4/6 - 2*h**3 - 9*h**2/2 - 2*h - 1. Factor b(u).
-(u - 3)**2*(u + 1)**2
Let h(p) be the second derivative of -5/9*p**3 + 0 - 1/18*p**4 - p**2 + 1/30*p**5 + 29*p. Factor h(f).
2*(f - 3)*(f + 1)**2/3
Let p(n) = 3*n**2 - 20*n. Let k(y) = -5*y**2 + 40*y. Let b(h) = -2*k(h) - 5*p(h). Factor b(u).
-5*u*(u - 4)
Factor 145*v**5 + 9*v**3 + 16*v**2 - 141*v**5 + 16*v**4 + 15*v**3 + 4*v.
4*v*(v + 1)**4
Let v(c) = c**2 - c - 8. Let g be v(4). Determine x, given that -27*x**3 + 186 - 90 + 6*x**2 - 6*x**g - 96 + 27*x**5 = 0.
-1, 0, 2/9, 1
Let w(f) be the second derivative of f**5/4 + 5*f**4 + 30*f**3 + 113*f. What is j in w(j) = 0?
-6, 0
Let z(s) be the second derivative of -s**7/14 + 9*s**6/10 - 9*s**5/4 + 7*s**4/4 + 2*s - 65. Determine f, given that z(f) = 0.
0, 1, 7
Let c(o) be the second derivative of -o**5/4 - 17*o**4/12 - o**3 + 173*o - 1. Solve c(s) = 0.
-3, -2/5, 0
Let d(q) be the third derivative of -1/210*q**5 + 22*q**2 + 1/21*q**3 - 1/24*q**4 + 0 + 0*q + 1/120*q**6. Factor d(k).
(k - 1)*(k + 1)*(7*k - 2)/7
Let h(u) = -3*u**2 - 207*u + 6. Let f(t) = -3*t**2 - 205*t + 8. Let b(s) = -3*f(s) + 4*h(s). Factor b(k).
-3*k*(k + 71)
Find c, given that -75/2 - 171/4*c**2 - 285/4*c - 39/4*c**3 - 3/4*c**4 = 0.
-5, -2, -1
Let v be 112/168 + (-28)/(-18) + -2. Let -2/9*p**5 - 2/9*p**4 + 2/9*p**3 + v*p**2 + 0*p + 0 = 0. What is p?
-1, 0, 1
Let i(b) be the second derivative of b**4/42 + 4*b**3/7 - 4*b**2 - 2*b - 6. Find v such that i(v) = 0.
-14, 2
Let n(p) be the second derivative of -p**6/15 + 3*p**5/2 - 21*p**4/2 + 49*p**3/3 + 70*p. Factor n(w).
-2*w*(w - 7)**2*(w - 1)
Let q(s) be the first derivative of -5*s**4/4 + 140*s**3/3 + 145*s**2/2 + 90. Factor q(g).
-5*g*(g - 29)*(g + 1)
Suppose 0 = -w - 4*y + 20, -4 = -y + 1. Suppose -5*q + 6*q - 2 = w. Factor 4*a**2 - a**q - 2*a + 4*a - 4*a**2.
-a*(a - 2)
Factor 4 + 2/9*j**2 + 22/9*j.
2*(j + 2)*(j + 9)/9
Let a be 7*(-48)/(-420) - (4 - (-188)/(-40)). Let 3/8*b**2 + a*b + 3/2 = 0. Calculate b.
-2
Let y be -1 + -1*(27/(-2) + 7) + -4. Let -3/2*d**3 - y + 3/2*d**2 + 3/2*d = 0. What is d?
-1, 1
Let q(x) = -6*x**5 + 2*x**4 + 22*x**3 + 22*x**2 - 4*x - 4. Let y(s) = -13*s**5 + 5*s**4 + 45*s**3 + 45*s**2 - 9*s - 9. Let o(c) = -9*q(c) + 4*y(c). Factor o(z).
2*z**2*(z - 3)*(z + 1)*(z + 3)
Factor 0 + 1/8*x**2 - 47/8*x.
x*(x - 47)/8
Let t be (-6)/2 - (-295)/(-118)*(-14)/10. Factor 0*s + 0 - t*s**3 + s**2.
-s**2*(s - 2)/2
Let i = 102/35 + -1829/630. Let t(y) be the second derivative of 0 + i*y**4 + 10*y + 2/45*y**3 + 0*y**2. Factor t(l).
2*l*(l + 2)/15
Let n(m) be the second derivative of -10/21*m**3 + 2 - 1/35*m**5 + 2*m + 3/7*m**2 + 3/14*m**4. Factor n(l).
-2*(l - 3)*(l - 1)*(2*l - 1)/7
Let v(i) be the third derivative of -i**7/504 + i**5/24 + 17*i**4/24 - 13*i**2. Let d(q) be the second derivative of v(q). Factor d(r).
-5*(r - 1)*(r + 1)
Let s be (0 - (-5)/2)*2. Suppose -4*k + 7 = a, -10 = 5*k + s*a - 0*a. What is i in -3*i**5 + 6*i**k + 3*i**4 - 22*i**2 + 22*i**2 = 0?
-1, 0, 2
Let u be -45 - -41 - -7*1. Suppose 2*z - 4 = 4*y, z + u*z - 8 = -5*y. Let 4/7*g**2 + y*g + 0 = 0. Calculate g.
0
Let a(l) be the first derivative of 7*l**3/3 + 5*l**2/2 + l + 4. Let x(c) = 6 + 2 + 13*c**2 - 5 + 11*c. Let o(u) = -5*a(u) + 3*x(u). Solve o(d) = 0 for d.
-1
Let s(f) be the second derivative of -f**5/40 + 85*f**4/24 - 1763*f**3/12 - 1849*f**2/4 - 156*f. Factor s(j).
-(j - 43)**2*(j + 1)/2
Let n = -41 - -45. Let k be (-19)/(-4) + n/((-12)/9). Factor -7/4*o**3 - 1/2*o**2 + 1/2 + k*o.
-(o - 1)*(o + 1)*(7*o + 2)/4
Let f = 4 - 2. Let 3*l**2 + 12*l + f*l**2 + 3*l - 20 = 0. Calculate l.
-4, 1
Let k be 6 + 7/(35/(-10)). Suppose 4*o - q + 5*q = -8, -k*o - 2 = q. Factor o*w + 2/5*w**2 + 0 - 2/5*w**3.
-2*w**2*(w - 1)/5
Let n = 23 - 48. Let f be 3/(-5*5/n). What is b in -9*b**2 - 20*b**3 - 6*b**2 + 3*b**4 + 4*b**5 + f*b**2 - 7*b**4 = 0?
-1, 0, 3
Suppose -2*m - 14 = 5*m. Let h be m*(-3)/(-6)*-1. Let u(z) = 1. Let b(j) = -j**2 - 2*j + 3. Let v(n) = h*b(n) - 4*u(n). Factor v(d).
-(d + 1)**2
Let i(t) be the second derivative of 0 - 81/2*t**2 - 9/4*t**4 + 3/20*t**5 - t + 27/2*t**3. Factor i(s).
3*(s - 3)**3
Suppose 18 + 12*r**4 + 20*r**3 - 20*r**2 + 6 + 0*r**2 - 20*r - 16 = 0. Calculate r.
-2, -1, 1/3, 1
Let z = 385 + -196. Find i, given that 50*i**4 - 197*i**5 - 14*i**4 + 16*i**2 + z*i**5 - 48*i**3 = 0.
0, 1/2, 2
Factor -3*m + 3/5*m**2 - 18/5.
3*(m - 6)*(m + 1)/5
Let f(g) be the third derivative of g**7/280 - g**6/32 - 3*g**5/40 - g**2 - g. Factor f(n).
3*n**2*(n - 6)*(n + 1)/4
Let q = -11565 - -11567. Factor y**3 - 2/5 - 1/5*y**4 - 9/5*y**q + 7/5*y.
-(y - 2)*(y - 1)**3/5
Suppose -5*g = 3*k + k + 3, -3*g - 3 = 2*k. Let v be 2/k - 36/135. Factor 0*a + 1/5*a**2 + 1/5*a**4 + 0 - v*a**3.
a**2*(a - 1)**2/5
Let y(q) be the first derivative of q**3/18 - q**2/2 + 4*q/3 - 29. Let y(i) = 0. Calculate i.
2, 4
Let j(b) = 7*b**2 - 15*b + 15. Let l(n) = n**2 - n + 2. Let q(f) = 2*j(f) - 6*l(f). Let q(m) = 0. What is m?
3/2
Let b(j) be the first derivative of 3 + 1/12*j**2 + 1/18*j**3 - 1/3*j. Factor b(v).
(v - 1)*(v + 2)/6
Suppose -29*k + 17*k + 156 = 0. Factor -4*s**2 - 7 - 1 + k - s**2.
-5*(s - 1)*(s + 1)
Suppose -a = -6*v + 11*v - 8, 5*a - 3*v = 12. Let o(u) be the first derivative of -11 - 2/7*u**4 + 8/21*u**a + 0*u + 0*u**2 + 2/35*u**5. Factor o(c).
2*c**2*(c - 2)**2/7
Let i(d) be the first derivative of 6*d**5/5 - 5*d**4 + 2*d**3/3 + 6*d**2 - 105. Let i(l) = 0. What is l?
-2/3, 0, 1, 3
Let o(m) = 5*m**2 + 2*m - 3. Let j(d) = 2*d**2 + 2*d. Let l(w) = -6*j(w) + 2*o(w). Factor l(b).
-2*(b + 1)*(b + 3)
Let v(a) be the second derivative of 9*a + 1/36*a**3 + 1/18*a**4 + 0*a**2 + 0. Find r such that v(r) = 0.
-1/4, 0
Let m(o) be the first derivative of 25 + 4/3*o**3 + 0*o + 8*o**2. Solve m(q) = 0.
-4, 0
Let l be (-2 + (-3)/(-3))*-18. Let j be 6/l + (-20)/(-3). Factor -j + 1 + 5*p + 7*p + 3 - 12*p**2.
-3*(2*p - 1)**2
Solve 19*j**2 - 5*j**5 + 14*j**2 - 23*j**2 + 4*j**3 + 11*j**3 = 0 for j.
-1, 0, 2
Factor -96/5*h**2 + 0 - 3/5*h**4 - 96/5*h - 6*h**3.
-3*h*(h + 2)*(h + 4)**2/5
Factor -3 - 1/6*d + 3*d**2 + 1/6*d**3.
(d - 1)*(d + 1)*(d + 18)/6
Let w(v) = -v**2 + 38*v - 352. Let j be w(16). Solve j + 6/5*a**2 + a**3 + 0*a + 1/5*a**4 = 0 for a.
-3, -2, 0
Let n(b) = -b**2 + b + 2. Let u be n(0). Factor -12*o**2 + 8*o**2 - 8 - 6*o**3 + 6*o + 14*o**2 - u*o**4.
-2*(o - 1)**2*(o + 1)*(o + 4)
Let g(h) = -20*h**2 + 3760*h - 353450. Let n(w) = -9*w**2 + 1880*w - 176724. Let b(i) = -2*g(i) + 5*n(i). Factor b(l).
-5*(l - 188)**2
Let k(d) = d**2 - 108*d - 12. Let g(s) = -10*s**2 + 975*s + 110. Let l(h) = 6*g(h) + 55*k(h). Factor l(o).
-5*o*(o + 18)
Suppose 191 = 104*q + 233*q - 820. Solve 0*w - 2/15*w**5 + 0 + 0*w**2 - 2/15*w**4 + 4/15*w**q = 0.
-2, 0, 1
Let g(v) be the second derivative of -2/5*v**3 - 1/60*v**4 + 20*v + 0 - 18/5*v**2. What is j in g(j) = 0?
-6
Let a(u) be the second derivative of u**7/420 - u**6/180 + 3*u**3 - 11*u. Let k(l) be the second derivative of a(l). What is y in k(y) = 0?
0, 1
Let 324/5*w**3 + 468/5*w**2 + 33/5*w**4