lculate b.
-1, 1, 3
Let y(t) be the second derivative of 0 - 5/3*t**4 - 1/5*t**5 + 0*t**2 + 2/15*t**6 + 14*t - 2*t**3. Determine a, given that y(a) = 0.
-1, 0, 3
Let c(b) be the second derivative of 0 + 2*b**3 + 0*b**2 - 2/3*b**4 - 1/5*b**5 + 10*b. Factor c(t).
-4*t*(t - 1)*(t + 3)
Let a(u) be the second derivative of u**4/12 + 7*u**3/6 + 6*u**2 + 595*u + 1. Factor a(y).
(y + 3)*(y + 4)
Let f(w) be the first derivative of -9*w**5/8 + 3*w**4/32 + 17*w**3/8 - 3*w**2/16 - 3*w/4 + 34. Solve f(a) = 0 for a.
-1, -1/3, 2/5, 1
Let g(z) = -17*z**2 - 57*z + 44. Let h(k) = 48*k**2 + 171*k - 134. Let f(d) = 17*g(d) + 6*h(d). Let f(c) = 0. What is c?
1, 56
Let u be (6 + 29)/7 + -5*1. Let o(q) be the third derivative of u + 0*q**4 - 6*q**2 + 2/315*q**7 + 1/1008*q**8 + 0*q**3 + 1/90*q**6 + 0*q**5 + 0*q. Factor o(t).
t**3*(t + 2)**2/3
Suppose 14 = 5*o + v, -4*o + 6 + 4 = 2*v. Let n(g) be the third derivative of 1/150*g**5 + o*g**2 - 1/15*g**3 + 0*g**4 + 0*g + 0. Factor n(m).
2*(m - 1)*(m + 1)/5
Suppose 9/2 - 15/4*j + 3/4*j**2 = 0. What is j?
2, 3
Let c(t) = 115*t**4 - 522*t**3 + 664*t**2 - 192*t + 16. Let b(z) = -229*z**4 + 1043*z**3 - 1328*z**2 + 384*z - 32. Let o(w) = -6*b(w) - 13*c(w). Solve o(g) = 0.
2/11, 2
Let h(n) be the first derivative of -n**5/270 - n**4/36 - 2*n**3/27 - 5*n**2/2 + 2. Let l(q) be the second derivative of h(q). Suppose l(m) = 0. What is m?
-2, -1
Let d = -367/594 - -7/11. Let f(q) be the second derivative of 0 + 1/27*q**3 - 3*q + 2/9*q**2 - d*q**4. Solve f(j) = 0 for j.
-1, 2
Suppose 3*k - 5*k + 4*w + 2 = 0, 0 = -k + 3*w. Let -6*f**3 - 65*f**3 - 75*f**k - 352*f - 2*f**5 - 28*f**4 - 344*f**2 - 128 = 0. What is f?
-4, -1
Let h = 52 + -47. Let p(q) = -15*q**4 - 52*q**3 - 75*q**2 - 38*q. Let b(v) = 10*v**4 + 35*v**3 + 50*v**2 + 25*v. Let o(d) = h*p(d) + 8*b(d). Factor o(i).
5*i*(i + 1)**2*(i + 2)
Let f(w) be the third derivative of -w**6/420 - 13*w**5/35 - 19*w**4 - 2888*w**3/21 - 12*w**2 - 7*w. Factor f(k).
-2*(k + 2)*(k + 38)**2/7
Let v be ((-2)/(-3))/((-6)/(-27)). Let q = 19 - 13. Factor q*t - 6*t - v*t**2 - 3*t**3.
-3*t**2*(t + 1)
Factor 16 - 4/3*u**2 - 32/3*u + 4/3*u**3.
4*(u - 2)**2*(u + 3)/3
Let w(m) be the first derivative of -4*m**5/25 + 6*m**4 - 628*m**3/15 - 408*m**2 - 4624*m/5 + 38. Determine n so that w(n) = 0.
-2, 17
Let b = -24 - -26. Suppose -5*j + 5 = 0, -b*j + 20 = 2*l - 0. Solve 8*i + 4*i**3 + 9 - 12*i**2 - l = 0.
0, 1, 2
Suppose -4 - 2 = -2*m. Solve -19 + 15*a**3 + 4*a**2 - 16*a + m - 11*a**3 = 0.
-2, -1, 2
Let j(a) be the third derivative of 0*a + 0 - 1/15*a**5 + 2/105*a**7 - 24*a**2 - 1/6*a**4 + 0*a**3 + 1/30*a**6. Factor j(m).
4*m*(m - 1)*(m + 1)**2
Let z(l) = -8*l**3 + 7*l**2 - 3*l - 3. Let c(m) = -11*m**3 + 6*m**2 - 4*m - 4. Let b(d) = 3*c(d) - 4*z(d). Solve b(v) = 0.
-10, 0
Let o(z) = z**3 - 8*z**2 - 10*z + 9. Let r be o(9). Let q(k) be the first derivative of r*k - 3/10*k**2 + 7 - 1/5*k**3. Suppose q(v) = 0. What is v?
-1, 0
Suppose -v - 2*p = -6, 7*v = 3*v + 2*p + 4. Determine f, given that -25*f**3 + 9*f**4 - 3*f**4 + 20*f**v - f**4 = 0.
0, 1, 4
Let j(n) be the first derivative of -2*n**3/27 + 43*n**2/9 - 28*n/3 + 244. Factor j(a).
-2*(a - 42)*(a - 1)/9
Let z(a) be the third derivative of a**8/560 + a**7/50 + 9*a**6/200 - 27*a**5/100 - 27*a**4/20 - 22*a**2. Factor z(k).
3*k*(k - 2)*(k + 3)**3/5
Suppose o + 0*o = 4*l - 1, 2*o = 3*l + 3. Determine g, given that -4*g**5 - 6*g**3 + 8*g**3 + g**3 - 8*g + 4*g**2 - 4*g**4 + 9*g**o = 0.
-2, -1, 0, 1
Suppose -23800 + 23765 = -7*t. Find x, given that 2/25*x**t + 28/25*x**3 - 12/25*x**4 - 4/25 + 18/25*x - 32/25*x**2 = 0.
1, 2
Factor -169*v**3 - 9*v**2 - 15*v**2 + 173*v**3 + 11 + 20*v + 37.
4*(v - 4)*(v - 3)*(v + 1)
Factor -32/9 - 10/9*i**3 - 56/9*i + 56/9*i**2.
-2*(i - 4)*(i - 2)*(5*i + 2)/9
Suppose -4*t + 0*t = -80. Determine k, given that -21*k - 23*k - 43*k**3 + 115*k**2 - 56*k + t + 8*k**3 = 0.
2/7, 1, 2
Determine i, given that 3*i**5 - 10*i**4 - 2*i**3 + 6*i**4 - i**5 + 16*i**3 - 6*i**4 - 6*i**2 = 0.
0, 1, 3
Let b = 91/316 + -3/79. Let h = -19 - -21. Factor -b*v**h - v - 3/4.
-(v + 1)*(v + 3)/4
Suppose z + 2 - 9 = -c, 2*z = 8. Suppose -1 = 2*l - c. Solve -3*w**2 + w - l + w + 7*w - 5 = 0 for w.
1, 2
Let w = 1823/5 - 16397/45. Find c, given that 2/9*c**3 - 2/9*c**2 - w*c + 2/9 = 0.
-1, 1
Let t be 4/(-8)*2 - -9. Suppose 0 = 4*z - t*z + 4. Find n such that 1 + 10*n - 2*n**2 - z - 7*n - n**3 = 0.
-3, 0, 1
Let v(k) = k - 7. Let u be v(9). Let z = u - 0. Factor -3*x**2 - 4*x**3 - 3*x - 3*x**z + 5*x**3 - 4*x**3.
-3*x*(x + 1)**2
Factor 2/9*z**2 - 2 - 16/9*z.
2*(z - 9)*(z + 1)/9
Factor 72*l - l**2 - 3*l**2 - 98976 + 99052.
-4*(l - 19)*(l + 1)
Let t(c) be the first derivative of 4*c**3/3 + 44*c**2 + 228*c - 339. Suppose t(y) = 0. What is y?
-19, -3
Determine h, given that 292*h - 586*h + 2*h**2 + 12 + 284*h = 0.
2, 3
Let a(i) be the second derivative of -i**4/6 - 170*i**3/3 - 7225*i**2 - 38*i. Determine f so that a(f) = 0.
-85
Let q(j) = -2*j. Let l be q(-4). Suppose 4*d - 3*p = -5*p + l, 3*p = 0. Factor 6*b - 3*b - 4*b**d + 3*b**2.
-b*(b - 3)
Suppose 11 = -22*h + 15 + 40. Factor -25/3*i**h - 10/3*i - 1/3.
-(5*i + 1)**2/3
Let i = -68 + 71. Suppose 16*h**4 - h**4 - 13*h**i + 49*h**3 + 12*h**2 + 5*h**4 - 4*h = 0. Calculate h.
-1, 0, 1/5
Let f(o) be the third derivative of -o**8/504 - o**7/105 - o**6/90 - 139*o**2. Factor f(q).
-2*q**3*(q + 1)*(q + 2)/3
Suppose 75*l - 21*l = 108. Let o(k) be the second derivative of 0 + 0*k**l + 1/66*k**4 - 1/11*k**3 + 5*k. Factor o(b).
2*b*(b - 3)/11
Suppose 19*n - 28*n + 36 = 0. Let f(w) be the second derivative of 0 - w + 2*w**n - 16*w**3 - 1/10*w**5 + 64*w**2. Solve f(z) = 0.
4
Let n(i) be the third derivative of -11*i**7/420 + i**6/10 + 7*i**5/120 - i**4/2 + i**3/3 - 6*i**2 + 5. Find w, given that n(w) = 0.
-1, 2/11, 1, 2
Let o(l) be the third derivative of 0 + 0*l + 1/36*l**4 - 1/270*l**5 + 4/27*l**3 + 34*l**2. Let o(b) = 0. What is b?
-1, 4
Find p, given that -3*p**2 - 4900 + 34*p + 246*p + 0*p**2 - 10*p**2 + 9*p**2 = 0.
35
Let b(r) be the first derivative of -1/180*r**6 + 0*r**2 - 1/36*r**4 + 0*r + 4 - 7/360*r**5 - 2/3*r**3. Let h(c) be the third derivative of b(c). Factor h(n).
-(2*n + 1)*(3*n + 2)/3
Let h(r) be the second derivative of 3*r**5/40 + r**4/4 - 19*r**3/4 - 15*r**2 - 8*r - 7. Factor h(a).
3*(a - 4)*(a + 1)*(a + 5)/2
Let b = -4856/15 - -1632/5. Factor -280/3*n + b + 2450/3*n**2.
2*(35*n - 2)**2/3
Factor -6 - 28/5*n + 2/5*n**2.
2*(n - 15)*(n + 1)/5
Let v(t) be the third derivative of t**7/28 - t**6/48 - 23*t**5/72 - 65*t**4/144 - 5*t**3/18 + 8*t**2 - 7. Let v(n) = 0. Calculate n.
-1, -1/3, 2
Let t be 10/120 + (-95)/(-300). Factor 4/5*m - t + 2/5*m**4 + 0*m**2 - 4/5*m**3.
2*(m - 1)**3*(m + 1)/5
Let h(t) be the first derivative of t**4/24 - 29*t**3/18 - 5*t**2/2 - 149. Determine m so that h(m) = 0.
-1, 0, 30
Let m(i) be the first derivative of 17*i**6/4 - 252*i**5/5 - 15*i**4/2 + 52. Determine f so that m(f) = 0.
-2/17, 0, 10
Let k(i) be the third derivative of -i**8/221760 + i**7/9240 - i**6/880 - i**5/20 + 22*i**2. Let q(u) be the third derivative of k(u). Factor q(m).
-(m - 3)**2/11
Let w(q) be the third derivative of -q**5/30 + 41*q**4/3 - 6724*q**3/3 - 3*q**2 - 17. Find t, given that w(t) = 0.
82
Let j(u) be the first derivative of -5*u**6/6 + 4*u**5 - 25*u**4/4 + 10*u**3/3 - 23. Factor j(q).
-5*q**2*(q - 2)*(q - 1)**2
Let x(j) be the second derivative of -j**7/56 - 3*j**6/40 - 3*j**5/40 + j - 11. Factor x(i).
-3*i**3*(i + 1)*(i + 2)/4
Let f(c) be the first derivative of c**4/8 - c**3 + 9*c**2/4 - 5*c + 9. Let t(x) be the first derivative of f(x). Factor t(q).
3*(q - 3)*(q - 1)/2
Let y(s) be the first derivative of 2*s**3/27 + 8*s**2/9 + 10*s/3 + 30. Factor y(g).
2*(g + 3)*(g + 5)/9
Let n(u) = -11*u**2 + 11*u + 7. Let q(y) be the first derivative of 5*y**3/3 - 5*y**2/2 - 3*y + 2. Let g(w) = -3*n(w) - 7*q(w). Solve g(p) = 0 for p.
0, 1
Let d = 43 + -39. What is y in y**4 + y**4 - y**d = 0?
0
Suppose h - 2 - 34 = 0. Factor 7*f**5 - 7*f**3 + h*f**2 - 3 - 2*f**4 - 34*f**2 + 3.
f**2*(f - 1)*(f + 1)*(7*f - 2)
Let w = 79/112 - 9/14. Let t(y) be the first derivative of 5/24*y**3 - w*y**2 - 3/32*y**4 - 1/8*y + 1. Factor t(i).
-(i - 1)**2*(3*i + 1)/8
Let t be (-95 - -98 - (-186)/(-68))*(-8)/(-18). Suppose -t*k**5 + 6/17*k**4 - 