rd derivative of 0 - 1/15*r**5 + 2*r**x + 0*r - 3*r**2 + 1/3*r**4. Factor q(s).
-4*(s - 3)*(s + 1)
Factor -4/3*x**3 - 44/3 + 44/3*x**2 + 4/3*x.
-4*(x - 11)*(x - 1)*(x + 1)/3
Let k(y) be the second derivative of -3/2*y**2 + 0 + 10*y - 3/5*y**5 - 3/2*y**4 - 1/10*y**6 - 2*y**3. Factor k(h).
-3*(h + 1)**4
Let x(m) be the third derivative of -m**9/7560 + m**7/1260 + 3*m**4/8 - 17*m**2. Let o(n) be the second derivative of x(n). Suppose o(w) = 0. Calculate w.
-1, 0, 1
Let d be ((-30)/(-20))/((-4)/(-8)). Let k(w) be the first derivative of -1/2*w**d + 2*w**2 - 2*w - 6. Suppose k(o) = 0. Calculate o.
2/3, 2
Let u(t) be the first derivative of -t**3/5 - 3*t**2/5 + 9*t/5 - 375. Let u(y) = 0. Calculate y.
-3, 1
Let y(s) = s**5 - s**4 - s**3 + s**2 + 2*s. Let f(p) = 2*p**5 - 3*p**4 - 2*p**3 + 3*p**2 + 5*p. Let r(l) = 2*f(l) - 5*y(l). Factor r(n).
-n**2*(n - 1)*(n + 1)**2
Let x(y) be the third derivative of y**7/2520 + y**6/720 - y**5/60 + 11*y**4/24 + 7*y**2. Let z(m) be the second derivative of x(m). Factor z(l).
(l - 1)*(l + 2)
Let n(t) be the second derivative of -t**4/6 + 14*t**3 - 441*t**2 + 71*t. Factor n(h).
-2*(h - 21)**2
Let y(l) be the first derivative of -15*l**3 - 85*l**2/2 + 150*l - 29. Factor y(k).
-5*(k + 3)*(9*k - 10)
Let y(o) be the first derivative of -o**5/25 - o**4/5 + o**3/5 + 9*o**2/5 + 9. Factor y(i).
-i*(i - 2)*(i + 3)**2/5
Let p(v) = 2*v**2 - 18*v. Let j be p(9). Suppose -5*h + 2*o + 8 = j, o + 4 = -3*h - 0*o. Determine s so that -1/7*s**2 + h*s + 2/7*s**3 - 1/7*s**4 + 0 = 0.
0, 1
Let l = -43 + 47. Suppose -3*v + 28*v**l - 13*v + 3*v**5 - 32*v**2 + 12*v**3 + 5*v**5 = 0. What is v?
-2, -1/2, 0, 1
Factor -138*k**3 + 159*k**2 - 215*k**2 + 4*k**4 + 52 + 48*k + 90*k**3.
4*(k - 13)*(k - 1)*(k + 1)**2
Let y be (-3)/((-24)/160*4). Let q(m) be the second derivative of -2*m**2 + 7/3*m**3 - 2*m - 3/10*m**y + 0 - 1/3*m**4. Determine u, given that q(u) = 0.
-2, 1/3, 1
Let p(f) be the first derivative of -10 + 2/5*f**5 + 0*f - 2*f**4 - 2*f**2 + 10/3*f**3. Factor p(a).
2*a*(a - 2)*(a - 1)**2
Let m(r) be the third derivative of -2*r**7/735 - 5*r**6/42 - 23*r**5/35 - 67*r**4/42 - 44*r**3/21 - 48*r**2. Find p, given that m(p) = 0.
-22, -1
Let h(k) be the first derivative of 7*k**4/12 - 13*k**3 - 17*k**2/3 + 44. Factor h(g).
g*(g - 17)*(7*g + 2)/3
Let i(s) be the third derivative of 0 - s**3 - 1/40*s**6 + 0*s + 3/8*s**4 + 5*s**2 + 0*s**5. Solve i(j) = 0 for j.
-2, 1
Let b(s) be the third derivative of s**7/735 - s**6/210 - s**5/70 + 2*s**4/21 - 4*s**3/21 + 83*s**2. Factor b(o).
2*(o - 2)*(o - 1)**2*(o + 2)/7
Let f(n) be the first derivative of 2*n**5/95 - n**4/38 + 60. Factor f(w).
2*w**3*(w - 1)/19
Suppose 0 = 2*b + 5*c - 39, 0 = -5302*c + 5303*c - 7. Find m such that 2/7*m**b - 4/7*m - 6/7 = 0.
-1, 3
Solve -218916 + 218916 - 4*k**2 + 32*k = 0.
0, 8
Let x(l) be the first derivative of -5*l**3/3 - 25*l**2/2 + 30*l - 20. Factor x(h).
-5*(h - 1)*(h + 6)
Let l = 6/14161 + 178018/14161. Find d, given that -l*d**3 - 12/7*d**5 - 72/7*d**2 - 4/7 - 4*d - 52/7*d**4 = 0.
-1, -1/3
Let m(t) = -13*t**2 + 90*t - 675. Let o(j) = 2*j**2. Suppose 11*x + 47 + 8 = 0. Let q(y) = x*o(y) - m(y). Factor q(r).
3*(r - 15)**2
Let m(k) be the first derivative of -k**4/8 - 17*k**3/12 - 43*k**2/8 - 7*k - 189. Factor m(u).
-(u + 1)*(u + 4)*(2*u + 7)/4
Let i = 2 - -3. Suppose -5*v + 25 = 2*x, i*x = -4*v + 47 - 10. Find s such that 23*s - 12*s + 196*s**v + 112*s**2 + 5*s = 0.
-2/7, 0
Let u(x) be the second derivative of x**7/126 + 31*x**6/90 + 17*x**5/4 + 25*x**4/4 - 26*x + 2. Determine t so that u(t) = 0.
-15, -1, 0
Let j be -6*(-7)/(-7) - -6. Let w(r) be the second derivative of 0*r**4 - 1/35*r**5 + 0 - 5*r + j*r**3 - 11/105*r**6 + 0*r**2. Factor w(x).
-2*x**3*(11*x + 2)/7
Let s(l) be the first derivative of 2*l**5 + l**4/2 - 25. Factor s(u).
2*u**3*(5*u + 1)
Factor 4703*q**2 + 81/2*q**4 + 121/2 + 882*q**3 - 1078*q.
(q + 11)**2*(9*q - 1)**2/2
Factor -362127872/7 - 2/7*s**4 + 12487168/7*s - 161472/7*s**2 + 928/7*s**3.
-2*(s - 116)**4/7
Let t(s) = s**2 - 9*s - 65. Let y be t(14). Suppose -p - 3 = 3*x - 4, 5*x - y*p = -5. Factor -1/2*w**3 + x + 1/2*w + 0*w**2.
-w*(w - 1)*(w + 1)/2
Let r(p) be the first derivative of 5 + 1/5*p**5 + 0*p + 0*p**2 - 1/2*p**4 + 1/3*p**3. Factor r(b).
b**2*(b - 1)**2
Let q(c) be the third derivative of 0*c - 1/105*c**7 + 0 - 64/3*c**3 + 28/3*c**4 - 2*c**5 + 13/60*c**6 + 3*c**2. Factor q(x).
-2*(x - 4)**3*(x - 1)
Let f = 49 - 8. Factor -44*i**2 + 4*i - 4*i**3 + f*i**2 + 3 - i**4 + 1.
-(i - 1)*(i + 1)*(i + 2)**2
Let j(s) be the third derivative of 2*s**7/525 - 11*s**6/200 + 14*s**5/75 - s**4/10 - 219*s**2. Factor j(u).
u*(u - 6)*(u - 2)*(4*u - 1)/5
Suppose 6*p + 144 = 162. Factor -1/2 + 3/2*u - u**p + 3/2*u**4 - 1/2*u**5 - u**2.
-(u - 1)**4*(u + 1)/2
Suppose 2*w - 5*y = -23, 3*w = 4*y + 3 - 27. Let f = w - -7. Factor 8*t**5 - 5*t**5 + 4*t**4 - f*t**2 - 3*t**3 + 0*t**4 - t**4.
3*t**2*(t - 1)*(t + 1)**2
Let f(c) be the third derivative of -c**8/504 + c**7/315 + c**6/60 - c**5/90 - c**4/18 - 51*c**2. Suppose f(d) = 0. What is d?
-1, 0, 1, 2
Let o(n) be the second derivative of -n**6/65 + 11*n**5/130 - 5*n**4/78 - n**3/13 - 22*n + 1. Find x, given that o(x) = 0.
-1/3, 0, 1, 3
Factor -160*b**3 + 0*b - 11*b + 28*b**2 + 6*b + 2*b**4 + 146*b**3 - 11*b.
2*b*(b - 4)*(b - 2)*(b - 1)
Let k(q) be the second derivative of -2/3*q**3 + 0*q**2 - 22*q + 5/12*q**4 - 1/20*q**5 + 0. Suppose k(f) = 0. Calculate f.
0, 1, 4
Let i(y) = -y - 11. Let m be i(-8). Let n be ((-1)/m - 1)/((-24)/8). Suppose -10/9*w**2 - n*w**3 - 8/9*w + 0 = 0. Calculate w.
-4, -1, 0
Let r be 80/(-80) - 2/(-2). Let a(g) be the second derivative of -10*g - 1/90*g**5 + 0*g**3 + r*g**2 - 1/54*g**4 + 0. What is s in a(s) = 0?
-1, 0
Suppose -5*i + 22 = -4*a + 87, 4*i - 71 = -5*a. Determine o so that -8*o**2 + 2 + 70 + a*o**2 - 5*o**2 - 24*o = 0.
6
Suppose 5 + 0 = z. Suppose 0 = -z*u + 15. Factor -2*p**2 - 3*p**5 - 3 - 2*p**3 + 2*p**5 + 3*p + 2 + u*p**4.
-(p - 1)**4*(p + 1)
Let k = -20 + 20. Suppose -3*d + 13 - 4 = k. Solve -7*f**2 + f - d*f**4 + 4*f**2 - 6*f**3 - f = 0.
-1, 0
Let h(b) be the second derivative of 5*b**4/12 + 355*b**3/6 + 118*b. Factor h(f).
5*f*(f + 71)
Let d(u) be the first derivative of -u**5/140 + 5*u**2/2 - 14. Let p(l) be the second derivative of d(l). Let p(y) = 0. What is y?
0
Let -5/4*j**2 - 3/2*j - 1/4 = 0. Calculate j.
-1, -1/5
Let z(f) be the second derivative of -f**8/26880 + f**7/1680 - f**6/320 + f**5/120 - 7*f**4/6 - 13*f. Let h(l) be the third derivative of z(l). Factor h(g).
-(g - 4)*(g - 1)**2/4
Let b = 59 - 61. Let a be -29 + 33 - (-4)/b. Factor 4/11*x - 2/11*x**a - 2/11.
-2*(x - 1)**2/11
Let d(x) be the first derivative of -20*x**3/3 + 76*x**2 + 64*x - 103. Factor d(b).
-4*(b - 8)*(5*b + 2)
Let t = 13 - 30. Let x(n) = -n - 15. Let d be x(t). What is f in 22*f**4 - 26*f**5 + 13*f**3 + 4*f**5 + d*f**5 + 19*f**3 + 8*f**2 = 0?
-1/2, -2/5, 0, 2
Let u(k) be the third derivative of 3/4*k**3 + k**2 - 1/20*k**6 - 3/8*k**5 + 0 - 1/2*k**4 + 0*k. Factor u(i).
-3*(i + 1)*(i + 3)*(4*i - 1)/2
Suppose 3*u - 19 = -2*x, -2*u + 2*x - 24 = -20. Let r(h) be the third derivative of 1/20*h**5 - 1/4*h**4 + 0*h**u + 0 + 4*h**2 + 0*h. Let r(b) = 0. Calculate b.
0, 2
Let h(b) be the first derivative of b**8/84 - b**6/10 + 2*b**5/15 - 7*b**2/2 - 2. Let f(t) be the second derivative of h(t). Factor f(j).
4*j**2*(j - 1)**2*(j + 2)
Let v = -11 - -12. Suppose 0 = -3*u + 37 - v. Determine w, given that -u*w**4 + 4*w**3 + 5*w**2 - 3*w**2 + 14*w**4 = 0.
-1, 0
Let i be (-10)/4 + 7/14 + -13. Let g(x) = 2*x + 34. Let s be g(i). Factor 0*f**2 - 3/5*f**s - 3/5*f**3 + 0*f + 0.
-3*f**3*(f + 1)/5
Suppose 7 = s - 2*l + l, -3*s + 4*l + 26 = 0. Suppose -1 = 2*n - s*d + 3*d, 0 = 4*n + 4*d + 8. Factor 4*r**2 - 6 - 9 + 4*r - 10 + n.
4*(r - 2)*(r + 3)
Let r(y) be the second derivative of 1/48*y**4 + 1/4*y**2 + 1/8*y**3 - 35*y + 0. Suppose r(q) = 0. Calculate q.
-2, -1
Let m be 4/(0 + (-1)/(-1)). Factor 24*d**2 - 22*d**2 + 5*d**m + 2*d**4 - 5*d**4 + 4*d**3.
2*d**2*(d + 1)**2
Let r(h) be the second derivative of h**6/20 - 4*h**5/15 - 5*h**4/12 + 2*h**3 - 10*h**2 - 15*h + 2. Let g(y) be the first derivative of r(y). Factor g(z).
2*(z - 3)*(z + 1)*(3*z - 2)
Suppose -18*z**2 - 26*z**2 - 147*z**3 + 0*z**4 + 105*z**3 - 15*z -