 l(c).
-c*(c - 3)/5
Let q(d) be the second derivative of 9/10*d**5 + 0 - 3/10*d**6 - 5/4*d**4 + 1/28*d**7 + 12*d + 3/4*d**3 + 0*d**2. Find m such that q(m) = 0.
0, 1, 3
Let w(p) be the second derivative of p**7/735 - p**6/420 + 11*p**2 + 9*p. Let t(y) be the first derivative of w(y). Factor t(a).
2*a**3*(a - 1)/7
Let z(o) be the second derivative of -1/12*o**4 + 0 + 1/2*o**3 + 34*o + 2*o**2. Factor z(g).
-(g - 4)*(g + 1)
Suppose -5*b + 4*m = -26, -8*b + 73*m + 24 = 71*m. Solve 12 - 22*u - 2*u**4 - 110/3*u**b - 46/3*u**3 = 0 for u.
-3, -2, 1/3
What is j in -60*j - 3/2*j**2 - 600 = 0?
-20
Factor 18 - 15*k**2 + 7*k**4 + 5*k**4 - 15*k**4 - 21*k**3 - 32*k + 53*k.
-3*(k - 1)*(k + 1)**2*(k + 6)
Let u(t) be the third derivative of 0*t - 1/9*t**3 + 37*t**2 + 7/360*t**5 + 5/144*t**4 - 1/360*t**6 + 0. Factor u(h).
-(h - 4)*(h + 1)*(2*h - 1)/6
Solve 202*u + 10*u**4 + 35*u**4 - 8*u**3 - 96 - 260*u**2 - 59*u**4 + 142*u + 34*u**4 = 0 for u.
-4, 2/5, 1, 3
Suppose -2*c = -6*c - 8, q = 5*c + 92. Factor 40*u + 52*u + 3 + 3*u**2 - q*u.
(u + 3)*(3*u + 1)
Factor 0 - 13/8*w**2 + 1/4*w**3 + 5/4*w + 1/8*w**4.
w*(w - 2)*(w - 1)*(w + 5)/8
Let x(b) be the second derivative of 5*b**4/4 - 6*b**3 + 6*b**2 + 400*b. Determine i so that x(i) = 0.
2/5, 2
Suppose 23*x + 7*x**5 + 36*x**4 - 18 - 69*x - 2*x**2 + 48*x**3 + 7*x = 0. What is x?
-3, -1, 6/7
Let k be (8 + -17)*(-1)/3. Factor 7 - 4*t**3 + 16*t**2 - 20*t + 2*t**2 + k*t**4 - 4*t**4.
-(t - 1)**3*(t + 7)
Let v(y) be the first derivative of -15*y**4/4 + 245*y**3/3 + 220*y**2 + 180*y + 389. Determine o so that v(o) = 0.
-1, -2/3, 18
Let t(s) be the third derivative of s**5/90 + 2*s**4/9 - s**3 - 26*s**2 + 3. Let t(b) = 0. Calculate b.
-9, 1
Let o be (4/6)/(2/(-3)). Let f be o*(-2 + -1)*(1 - 0). Factor -1/3 - 2/3*l**f + 2*l**2 - 5/3*l**4 - 1/3*l + l**5.
(l - 1)**3*(l + 1)*(3*l + 1)/3
Let m(b) = -4*b**3 + 30*b**2 - 63*b - 97. Let s(k) = 12*k**3 - 92*k**2 + 188*k + 292. Let f(q) = 8*m(q) + 3*s(q). Factor f(i).
4*(i - 5)**2*(i + 1)
Let d be (-2*140/150)/(6/(-15)). Factor 10*c**2 + 2/3*c**4 + 6*c + 0 + d*c**3.
2*c*(c + 1)*(c + 3)**2/3
Let d be -1 + 6 - (-158 - -25). Let r be 74/14 - 8/28. Factor 9*z**r - 4*z**5 - d*z + 138*z.
5*z**5
Solve -12*m**4 + 0 - 9/2*m**2 + 3*m - 27*m**3 = 0 for m.
-2, -1/2, 0, 1/4
Factor 3/7*a**3 + 69/7*a - 45/7 - 27/7*a**2.
3*(a - 5)*(a - 3)*(a - 1)/7
Let d be 19*1*(8 + 750/(-95)). Factor 54/5*i - 243/5 - 3/5*i**d.
-3*(i - 9)**2/5
Let r(u) be the second derivative of 0*u**3 + 0 + 4*u + 1/72*u**4 - 1/2*u**2 + 1/180*u**5. Let s(n) be the first derivative of r(n). Factor s(k).
k*(k + 1)/3
Determine i, given that -29/5*i**3 - 31/5*i - 1 - 51/5*i**2 - 4/5*i**4 = 0.
-5, -1, -1/4
Solve -9/4 - 3/4*z**2 - 3/4*z**3 + 15/4*z = 0.
-3, 1
Let c(g) = -9*g**2 - g + 29. Let w(h) be the second derivative of -h**4/12 - h**3/6 + h**2/2 - 34*h. Let z(a) = -c(a) + 5*w(a). Find f such that z(f) = 0.
-2, 3
Let r(u) = 2*u**2 + 15*u + 35. Let k be r(-8). Factor 56*x**4 - 11*x - 73*x**3 + 2*x**5 + 3*x**5 + 1 - 14*x**5 + k*x**2 - 7*x**5.
-(x - 1)**3*(4*x - 1)**2
Let s = 228 + -228. Let b(r) be the third derivative of 0*r**4 + 1/120*r**6 + 1/1008*r**8 + s + 0*r**3 - 1/180*r**5 + 0*r - r**2 - 1/210*r**7. Factor b(c).
c**2*(c - 1)**3/3
Let u = 48070/36051 - 2/36051. Determine z so that 2/3*z**2 + u*z + 0 - 2*z**4 - 8/3*z**3 = 0.
-1, 0, 2/3
Suppose -5*s + 286 = 256. Let d(n) be the third derivative of 0*n**7 - 7*n**2 + 0*n**4 + 0*n**s + 0*n**3 + 0 + 0*n + 0*n**5 - 1/2016*n**8. Solve d(x) = 0.
0
Let f be (-4)/(-24) + 860/24. Let q be ((-31)/310)/((-2)/f*1). Determine j so that -6/5*j - q*j**5 - 9*j**3 + 33/5*j**4 + 0 + 27/5*j**2 = 0.
0, 2/3, 1
Let u be (-4 - -5)/((-28)/(-50)) + 6/(-21). Factor 1/4*i**4 - 3/4 + 2*i - u*i**2 + 0*i**3.
(i - 1)**3*(i + 3)/4
Let u(y) be the third derivative of y**8/141120 - y**6/5040 - y**5/12 + 13*y**2. Let v(t) be the third derivative of u(t). Factor v(q).
(q - 1)*(q + 1)/7
Let d(y) = 4*y**2 - 16*y + 9. Let i = 2 - 0. Let g(t) = -48*t + 11*t**2 - 2*t**2 + 28 + 3*t**i. Let a(w) = -8*d(w) + 3*g(w). Find p, given that a(p) = 0.
1, 3
Determine g, given that 36*g + 972 + 1/3*g**2 = 0.
-54
Let t(s) be the third derivative of -3/220*s**6 + 0*s + 7/330*s**5 + 0*s**3 + 1/231*s**7 - 12*s**2 - 1/66*s**4 + 0 - 1/1848*s**8. Factor t(f).
-2*f*(f - 2)*(f - 1)**3/11
Let a(f) be the third derivative of f**5/60 - f**3/2 + 9*f**2. Let c(o) = 2*o**2 + o - 5. Let g(v) = 5*a(v) - 3*c(v). Factor g(l).
-l*(l + 3)
Let s(b) be the third derivative of -1/105*b**6 + 0*b - 1/35*b**5 - b**2 + 0 - 1/42*b**3 - 1/28*b**4. Suppose s(y) = 0. Calculate y.
-1/2
Let w(i) be the second derivative of -i**4/24 - 25*i**3/6 - 625*i**2/4 + 96*i. Determine g so that w(g) = 0.
-25
Let q be -10*(-4)/(-8) + 10. Let f(g) be the third derivative of 0*g + 0*g**3 - q*g**2 + 0 + 1/60*g**4 + 0*g**5 - 1/300*g**6. Suppose f(j) = 0. Calculate j.
-1, 0, 1
Let i(r) be the first derivative of -r**4/10 + 4*r**3/5 + r**2/5 - 12*r/5 + 179. Find d such that i(d) = 0.
-1, 1, 6
Factor -24*z**2 + 744 - 11*z**2 - 244 - 1740*z.
-5*(z + 50)*(7*z - 2)
Let k = 2739/58 + 8/29. Factor -k*n**2 - 6 - 25/2*n**3 - 32*n.
-(n + 3)*(5*n + 2)**2/2
Let z(d) be the third derivative of 1/20*d**6 + 11*d**2 + 0*d + 0*d**5 - 1/2*d**3 + 1/70*d**7 + 0 - 1/4*d**4. Find r, given that z(r) = 0.
-1, 1
Suppose 134*k - 4 = 133*k. Suppose -4*n = k - 16. Find i, given that 6 + 3/2*i**3 - 21/2*i + n*i**2 = 0.
-4, 1
Let u(a) = 2*a**3 + 9*a**2 + 7*a + 4. Let h be u(-3). Let m be (-6)/h - 2*(-76)/120. Solve 0*f - 4/3*f**2 + m*f**3 + 0 = 0 for f.
0, 2
Let q(x) = x**3 - 7*x**2 - 8*x + 3. Let f = -28 - -36. Let m be q(f). What is p in 2/9*p**m + 0*p + 0*p**2 + 0 = 0?
0
Let y(d) be the second derivative of 0 - 9*d + 0*d**2 - 1/36*d**4 - 1/180*d**5 + 3/2*d**3 + 1/270*d**6. Let m(s) be the second derivative of y(s). Factor m(j).
2*(j - 1)*(2*j + 1)/3
Let x(u) be the third derivative of -3*u**6/20 - 19*u**5/30 - 5*u**4/6 + 7*u**2 - 4. Suppose x(y) = 0. What is y?
-10/9, -1, 0
Let b(n) be the first derivative of -140/3*n**3 + 64/15*n**5 - 3*n - 107/6*n**2 - 44*n**4 - 35. Factor b(m).
(m - 9)*(4*m + 1)**3/3
Let r = -8 - -12. Suppose 4*t + 5*k = -8, r*t - 11 + 3 = -k. Solve 4*y + 4*y**3 + 2*y**4 + t*y**3 - 6*y**2 - 7*y**3 = 0 for y.
-2, 0, 1
Let h(z) = 9*z**2 + 21*z + 34. Let g(m) = -80*m**2 - 190*m - 305. Let j(b) = 4*g(b) + 35*h(b). Factor j(a).
-5*(a + 2)*(a + 3)
Let t(h) be the third derivative of -h**10/37800 - h**9/2520 - h**8/560 - 2*h**5/15 - 11*h**2. Let k(n) be the third derivative of t(n). Factor k(v).
-4*v**2*(v + 3)**2
Let n(b) be the third derivative of b**6/60 + b**5/3 + 17*b**4/12 + 8*b**3/3 - 126*b**2 + 2. Suppose n(u) = 0. What is u?
-8, -1
Determine z so that -3 - 14*z + 51/4*z**4 + 49/4*z**3 + 7/4*z**5 - 39/4*z**2 = 0.
-6, -1, -2/7, 1
Suppose -216/5 - 6/5*b**2 + 3/5*b**3 - 117/5*b = 0. Calculate b.
-3, 8
Let d(a) be the second derivative of a**6/10 - 3*a**5/20 - a**4/4 + a**3/2 + 2*a + 8. Solve d(s) = 0.
-1, 0, 1
Let f(c) = -4*c**4 - 32*c**2 - 16*c + 20. Let a be (-4 + 6)/((-1)/(-10)). Let w(x) = x**3 + 1. Let p(b) = a*w(b) - f(b). Suppose p(y) = 0. What is y?
-2, -1, 0
Let r(n) be the third derivative of n**8/112 + 13*n**7/10 + 1541*n**6/20 + 22747*n**5/10 + 231173*n**4/8 - 279841*n**3/2 + 736*n**2. What is m in r(m) = 0?
-23, 1
Let m(z) be the third derivative of -8*z**2 + 0*z - 2/945*z**7 + 0 + 0*z**6 - 1/108*z**4 + 0*z**3 + 1/1512*z**8 + 1/135*z**5. Factor m(n).
2*n*(n - 1)**3*(n + 1)/9
Suppose 3*j - 14 = -4*m, 2*m + j - 18 = -2*m. Suppose -k = 2*c - m*k + 2, 2*c = -4*k + 14. Factor 0 - p**2 + 1/2*p + 1/2*p**c.
p*(p - 1)**2/2
Let t(d) be the second derivative of -5/6*d**4 + 0*d**2 - 1/4*d**5 - 2*d + 0 - 5/6*d**3. Factor t(f).
-5*f*(f + 1)**2
Solve 0 + 30/7*d + 1/7*d**3 - 11/7*d**2 = 0.
0, 5, 6
Let a be (-48)/(-7)*847/1089. What is i in 64/3 + a*i + 1/3*i**2 = 0?
-8
What is v in -2*v**2 - 230*v + 651*v + 2*v**4 - 104*v**3 - 317*v = 0?
-1, 0, 1, 52
Suppose 0*z + 4*o - 16 = -3*z, 0 = -3*z + o - 4. Let r(u) be the first derivative of 3 - 1/6*u**3 + 0*u + z*u**2 - 1/8*u**4. Factor r(i).
-i**2*(i + 1)/2
Let j(q) be the first derivative of -q**4/60 - 4*q**3/15 + 9*q**2/10 - 34*q - 23. Let v(s) be the first derivative of j(s). Factor v(h).
-(h - 1)*(h + 9)/5
Let h(d) = 8*d + 33. Let g be h(30). Le