- 2)**2*(k - 1)*(k + 1)
Let n(x) be the first derivative of 1/15*x**5 + 0*x - 1 - 4/3*x**3 - 1/90*x**6 + 0*x**2 + 0*x**4. Let c(p) be the third derivative of n(p). Factor c(j).
-4*j*(j - 2)
Let f = -1/564948 - -34814953/18360810. Let c = f - 5/52. Factor -c*w - 3/5 + 12/5*w**2.
3*(w - 1)*(4*w + 1)/5
Let i be 1 - 6/(-2 - 0). Suppose -5*v = -s + 2*s - 15, i*v + 4*s = 28. Let 2/9*n + 2/9*n**v - 4/9 = 0. What is n?
-2, 1
Let a(i) be the first derivative of i**4 - 284*i**3 + 30246*i**2 - 1431644*i + 187. Determine p, given that a(p) = 0.
71
Let d(l) be the first derivative of -4*l**5/5 + 10*l**4 - 44*l**3 + 80*l**2 - 64*l + 42. What is t in d(t) = 0?
1, 4
Factor 0 + 0*h - 3/8*h**2 + 3/8*h**4 - 3/8*h**3 + 3/8*h**5.
3*h**2*(h - 1)*(h + 1)**2/8
Let w(o) be the first derivative of -o**5/10 + 9*o**4/8 - 7*o**3/2 + 19*o**2/4 - 3*o + 100. Factor w(b).
-(b - 6)*(b - 1)**3/2
Let o = 30 + -25. Suppose -2*h**4 - 5*h**o + 5*h**2 + 2*h**3 + 2*h**3 + h**3 - 3*h**4 = 0. What is h?
-1, 0, 1
Let l(m) be the second derivative of 1/96*m**4 + 49/16*m**2 + 7/24*m**3 - 18*m + 0. Factor l(n).
(n + 7)**2/8
Suppose -r - 2*x = -12, -17 - 9 = -3*r - 4*x. Suppose r + 15*s**3 + 7/2*s**4 + 43/2*s**2 + 12*s = 0. Calculate s.
-2, -1, -2/7
Let c(b) be the first derivative of -b**3/3 - 5*b**2/2 - 394. Find t, given that c(t) = 0.
-5, 0
Factor -40*m**2 - 113*m - 2*m**3 + 12*m + 15*m - 68*m + 484.
-2*(m - 2)*(m + 11)**2
Let h be (-19)/(-22) + 9/126*-7. Let 2/11*x**4 + h*x**3 + 0*x**2 + 0*x + 0 = 0. What is x?
-2, 0
Let p(t) = t**3 + t**2 - 5*t + 6. Let o be p(-4). Let i be 1 + (62/o - -2). Factor 1/11 + 0*w**2 + i*w - 1/11*w**4 - 2/11*w**3.
-(w - 1)*(w + 1)**3/11
Suppose 2*m - 13*t = -16*t, -t - 10 = 4*m. Let z be (0 - (1 + m/5))*-1. Factor 4/5*o + 18/5*o**3 + z*o**5 - 14/5*o**2 - 2*o**4 + 0.
2*o*(o - 2)*(o - 1)**3/5
Let v(i) be the second derivative of 9*i - 1/14*i**4 + 0 - 3/28*i**5 + 3/7*i**2 + 5/14*i**3. Find f, given that v(f) = 0.
-1, -2/5, 1
Let o be (0 + (2 - 3))/((-5)/(-2)*-1). Factor -1/5*u**2 + 8/5 + o*u.
-(u - 4)*(u + 2)/5
Suppose -48/11*o**2 + 6/11*o**5 - 32/11*o**3 + 32/11 + 10/11*o**4 + 32/11*o = 0. Calculate o.
-2, -2/3, 1, 2
Let t(c) be the third derivative of c**8/1176 - c**7/35 + 97*c**6/420 + 11*c**5/14 - 121*c**4/42 + 3*c**2 + 6*c. Suppose t(l) = 0. What is l?
-2, 0, 1, 11
Let w(u) be the third derivative of -16/3*u**3 + 1/30*u**6 + 0 - 2/5*u**5 + 2*u**4 + 0*u + 12*u**2. Factor w(a).
4*(a - 2)**3
Find r such that -4*r**3 - 14540*r + 64*r**2 + 14540*r = 0.
0, 16
Let h = 1235 + -11114/9. Determine x, given that 5/9*x**4 - 8/9*x - h*x**2 + 1/9*x**5 + 7/9*x**3 - 4/9 = 0.
-2, -1, 1
Find x such that -5/7*x**2 + 43/7*x + 18/7 = 0.
-2/5, 9
Let g be 4/(-20)*-5 + 18. Suppose -20*u**2 + 33*u**5 - 48*u**5 - g*u**4 + 39*u**4 + 15*u**4 = 0. What is u?
-2/3, 0, 1, 2
Suppose -7*h + 9*h = 6. Suppose 6*a - 7*a = -h. Factor 0*f - f**2 + f**3 - a*f + 2*f + 1.
(f - 1)**2*(f + 1)
Let x(h) be the first derivative of -h**6/3 + 2*h**5 - 4*h**4 + 8*h**3/3 + 31. Factor x(j).
-2*j**2*(j - 2)**2*(j - 1)
Let l(r) be the first derivative of 56/3*r**3 + 0*r + 45/2*r**4 + 4*r**2 - 49/3*r**6 - 56/5*r**5 + 22. Suppose l(g) = 0. What is g?
-1, -2/7, 0, 1
Let j(o) be the second derivative of 0 - 2/15*o**3 - 1/25*o**5 - 16*o + 0*o**2 + 2/15*o**4. Suppose j(t) = 0. What is t?
0, 1
Let c be 6/(-50)*(-30)/12. Let z(u) be the second derivative of 0 + 5*u + 5/6*u**4 + c*u**5 - 1/15*u**6 - 1/21*u**7 + 0*u**2 + 2/3*u**3. Factor z(o).
-2*o*(o - 2)*(o + 1)**3
Let r(z) be the second derivative of z**6/10 + 5*z**5/2 + 103*z**4/12 - 470*z**3/3 + 150*z**2 + 2*z + 154. Let r(v) = 0. Calculate v.
-10, 1/3, 3
Let p = 3 + 0. Suppose -d + 5*j = -2, -4*j + p = -d + 5. Factor -6*y**2 - 4*y**5 + 4*y**2 - 12*y**3 - 12*y**4 + d*y**2 - 4*y**2.
-4*y**2*(y + 1)**3
Let b = -29 + 32. Let y(z) be the second derivative of -1/3*z**4 + 6*z + 1/3*z**b + z**2 + 1/15*z**6 + 1/21*z**7 - 1/5*z**5 + 0. Suppose y(d) = 0. Calculate d.
-1, 1
Let v(t) be the third derivative of t**7/1470 + t**6/105 + t**5/70 - t**4/21 - t**3/6 - 68*t**2 + 1. Suppose v(d) = 0. What is d?
-7, -1, 1
Suppose 5*f - w = 24, 3*f - 6*f = w - 16. Suppose 362*x - 362*x + f*x**2 = 0. What is x?
0
Factor -3/8*o**2 - 10443/8 + 177/4*o.
-3*(o - 59)**2/8
Let q(a) be the second derivative of a**9/5040 - a**8/1120 + a**7/840 - 3*a**4/4 + a. Let d(s) be the third derivative of q(s). Suppose d(u) = 0. What is u?
0, 1
Let o = 8 + 20. Solve -60*l**2 + 19 - 3 - 16 - 36*l - o*l**3 - 4*l**4 = 0 for l.
-3, -1, 0
Let u(d) = 3*d**2 - 2*d - 1. Let p be u(-1). Suppose -28*i + 4*i - 100 + 100 - p*i**2 = 0. What is i?
-6, 0
Let p be 9 - 7 - 0/12. Suppose -8/5*s**4 - 2/5*s**5 + 0*s**p + 0*s + 0 - 6/5*s**3 = 0. Calculate s.
-3, -1, 0
Let x be 940/(-1410) + (-38)/(-6)*(-2)/(-4). Solve 35/4*i - x*i**2 - 15/2 = 0 for i.
3/2, 2
Let z = 3591 + -3589. Suppose 6/7*h**4 + 2/7*h**z + 6/7*h**3 + 0*h + 0 + 2/7*h**5 = 0. Calculate h.
-1, 0
Let l = -289 + 292. Let w(z) be the second derivative of 1/21*z**7 + 0*z**2 + 1/15*z**6 + 0*z**l + 0 + 6*z - 1/6*z**4 - 1/10*z**5. Factor w(t).
2*t**2*(t - 1)*(t + 1)**2
Let b(x) be the third derivative of 1369*x**5/15 - 74*x**4/3 + 8*x**3/3 + 39*x**2. Suppose b(o) = 0. Calculate o.
2/37
Let x(g) be the first derivative of -g**3/3 + 33*g**2/2 + 88. Solve x(r) = 0 for r.
0, 33
Let r(i) be the second derivative of -i**6/10 - 2*i**5/15 + 7*i**4/6 - 4*i**3/3 - 11*i**2 - 3*i. Let h(f) be the first derivative of r(f). Factor h(d).
-4*(d - 1)*(d + 2)*(3*d - 1)
Suppose 93*h**2 - 3*h**3 + 5*h**3 + 3*h**3 + 127*h**2 + 2420*h = 0. What is h?
-22, 0
Suppose 10*r - 15*r = 25. Let b be (0 + 6/(-135))*r. Find t such that 5/9*t - b + 1/3*t**2 = 0.
-2, 1/3
Factor 284 - u**2 - 88*u + 0*u**2 - 24 - 2196.
-(u + 44)**2
Let s be -2 - (-1 - 3)/1. Suppose -4*x + 10 = s. Suppose -k**4 - 7*k**2 - 45*k**3 - 2*k + 37*k**3 - x*k**4 = 0. Calculate k.
-1, -2/3, 0
Let n(l) = -6*l**3 - 38*l**2 + 2*l + 10. Let w(s) = 5*s**3 + 38*s**2 - 2*s - 17. Let g(k) = 3*n(k) + 4*w(k). Let g(b) = 0. Calculate b.
-19, -1, 1
Let y = 4 - 1. Let l be (990/(-12))/33 + 18 - 14. What is f in -3/2*f**y + 0*f + 1/2*f**2 + l*f**4 + 0 - 1/2*f**5 = 0?
0, 1
Suppose -11*x = -g - 8*x + 5, 3 = -g - 5*x. Let s(f) be the third derivative of -3*f**g + 1/210*f**5 + 0 - 1/21*f**4 + 4/21*f**3 + 0*f. Factor s(v).
2*(v - 2)**2/7
Let w(q) be the third derivative of -q**7/105 + 23*q**6/45 - 962*q**5/135 - 736*q**4/27 - 1024*q**3/27 + 46*q**2 - 1. Solve w(v) = 0 for v.
-2/3, 16
Let v be (-33)/(-2) - (-43)/(-86). Let i(r) = -2*r + 34. Let y be i(v). Determine h, given that -3/2*h**4 - 3/2*h**5 + 0*h + 0 + 3/2*h**3 + 3/2*h**y = 0.
-1, 0, 1
Let g = 25 - 4173/167. Let m = g + 163/334. Factor 0 + m*n - 2*n**2 + 3/2*n**3.
n*(n - 1)*(3*n - 1)/2
Let g(v) be the first derivative of v**3/21 - 3*v**2/7 + 214. Determine w, given that g(w) = 0.
0, 6
Let w be (-22)/(-4) - (-9)/(-18). Let x(b) = 2*b**4 - b**3 - 4*b**2 + 3. Let r(k) = 3*k**4 - k**3 - 7*k**2 + 5. Let h(p) = w*x(p) - 3*r(p). Factor h(q).
q**2*(q - 1)**2
Let g(l) = -l**2 - 165*l + 111. Let n(t) = t**2 + 83*t - 56. Let y(r) = 2*g(r) + 5*n(r). Factor y(m).
(m + 29)*(3*m - 2)
Suppose -10*g + 16 = -14. Find z, given that z**3 - 3*z**3 + 5*z**g - z**5 - z**4 + z**2 - 2*z = 0.
-2, -1, 0, 1
Let a(q) = -q**3 - q + 1. Let o(s) = 23*s + 12*s + 8*s**2 - 24 + 20*s**3 - 15*s. Let p(t) = 24*a(t) + o(t). Factor p(l).
-4*l*(l - 1)**2
Let j be 523/35 + 1920/(-1680). Determine u, given that -6/5 - 21/5*u**4 - 81/5*u**2 - 39/5*u - j*u**3 = 0.
-1, -2/7
Suppose 4*p + 2*y - 35 = -13, 4*y = p - 1. Suppose 1 = -4*c - 2*b + 3, -5*c - p*b = 5. Factor -9*d**3 - 6*d**2 - 2*d + 5*d**2 - 10*d**c.
-d*(d + 1)*(9*d + 2)
Let x be 22/44*(-1 - (-1 + 10)). Let r be (1/2*0)/x. Find c such that -c + r + 1/4*c**2 = 0.
0, 4
Find d, given that 15*d**5 - 24994*d**4 - 45692*d**3 + 218465*d**3 + 2633856 + 9322464*d + 6949896*d**2 + 28435*d**4 + 91941*d**3 = 0.
-76, -1, -2/5
Let q(a) be the third derivative of 0 + 17*a**2 - 1/24*a**3 + 1/64*a**4 + 0*a - 1/480*a**5. Suppose q(f) = 0. What is f?
1, 2
Solve 0 - 6/5*p**5 + 2/5*p**2 - 22/5*p**3 + 22/5*p**4 + 4/5*p = 0 for p.
-1/3, 0, 1, 2
Let y(p) = 1. Let b(n) = 16*n**3 - 276*n**2 + 68*n + 10. Let l(t) = b(t) - 10*y(t). Factor l(r).
4*r*(r - 17)*(4*r - 1)
Suppose -5*d + 11 = -4*d. Let 