rivative of w(h). Find a such that d(a) = 0.
0, 2
Factor -6*w**2 + 2*w + 118 - 227 - 2*w**3 + 115.
-2*(w - 1)*(w + 1)*(w + 3)
Let s = -294 - -297. Let q(k) be the third derivative of 0 + 1/2*k**s - 6*k**2 + 1/80*k**5 + 1/8*k**4 + 0*k. Find i such that q(i) = 0.
-2
Factor 0*d**4 + 25*d**4 + 2*d - 21*d**4 - 12*d**3 + 14*d.
4*d*(d - 2)**2*(d + 1)
Let d(f) be the first derivative of -2/33*f**3 + 7/33*f**6 - 2/11*f**2 - 20 + 0*f - 38/55*f**5 + 15/22*f**4. Determine z so that d(z) = 0.
-2/7, 0, 1
Let s(q) = q**2 + 168*q + 497. Let n be s(-3). Factor 3/2*p - 3/8*p**n + 15/8.
-3*(p - 5)*(p + 1)/8
Suppose 0 = -49*d + 45*d + 8. Factor -283 - 4*x**d - 4*x + 4*x**3 + 4*x**4 + 283.
4*x*(x - 1)*(x + 1)**2
Let a(y) be the third derivative of 0*y - 6*y**2 + 0 - 1/105*y**5 + 0*y**3 + 1/42*y**4. What is h in a(h) = 0?
0, 1
Determine k, given that 2/5*k**3 + 28/5*k**2 - 42/5*k - 36 = 0.
-15, -2, 3
Let b(y) = -y**3 + 2*y**2 + y. Let h(v) = -5*v**3 - 31*v**2 + 4*v. Let u(q) = 20*b(q) - 5*h(q). Let u(t) = 0. What is t?
-39, 0
Let d(j) be the second derivative of j**6/2160 + j**5/144 + j**4/24 - 19*j**3/3 + 41*j. Let p(x) be the second derivative of d(x). Let p(a) = 0. Calculate a.
-3, -2
Let m = -1644 - -1644. Let n(h) be the first derivative of 11 + 0*h**2 - 1/15*h**5 + 2/9*h**3 - 1/3*h + m*h**4. Factor n(u).
-(u - 1)**2*(u + 1)**2/3
Let b(g) be the third derivative of -1/120*g**5 + 1/16*g**4 - 1/420*g**7 + 32*g**2 + 0 + 1/6*g**3 + 0*g - 1/80*g**6. Factor b(p).
-(p - 1)*(p + 1)**2*(p + 2)/2
Let s be (-6)/51 + (-44)/(-85). Factor 0 + 2/5*a**4 + 0*a - s*a**2 + 0*a**3.
2*a**2*(a - 1)*(a + 1)/5
Let y(w) = w**2 - 1. Let m(h) = 2*h**2 + 12*h - 14. Suppose 6*x + 1 - 7 = 0. Let v(r) = x*m(r) + 2*y(r). Factor v(l).
4*(l - 1)*(l + 4)
Let w = 1936/9 - 1934/9. Factor -8/9*c - 8/9 - w*c**2.
-2*(c + 2)**2/9
Let h(b) be the first derivative of -2*b**3/3 + 9*b**2 + 72*b + 150. Factor h(i).
-2*(i - 12)*(i + 3)
Let c(j) be the third derivative of j**8/1512 - j**7/315 + j**6/540 + j**5/90 - j**4/54 + 120*j**2. Let c(o) = 0. Calculate o.
-1, 0, 1, 2
Factor -18/7 - 3*u - 3/7*u**2.
-3*(u + 1)*(u + 6)/7
Let i = -150023/5 - -29892. Let k = i + 113. Suppose 0 + 0*w + k*w**2 - 2/5*w**3 = 0. Calculate w.
0, 1
Let n(u) be the first derivative of 2*u**2 + 0*u - 4 + 16/3*u**3. Solve n(r) = 0 for r.
-1/4, 0
Let -56*y**2 + y**5 - 46*y**3 - 16*y**4 + 4972*y - 3*y**5 - 4996*y = 0. Calculate y.
-3, -2, -1, 0
Let x(b) be the first derivative of -b**3/2 - 157*b**2/2 + 105*b/2 - 78. Factor x(o).
-(o + 105)*(3*o - 1)/2
Let w be (-3 + 12)*((-6)/729)/((-4)/36). Solve 10*d**3 - 4 - 2/3*d**4 - 4/3*d**5 - w*d + 38/3*d**2 = 0.
-2, -1, 1/2, 3
Let i(d) be the third derivative of -3*d**6/20 + 2*d**5 - 493*d**4/48 + 289*d**3/12 - 70*d**2 - d. Factor i(f).
-(f - 1)*(6*f - 17)**2/2
Let u(f) be the third derivative of -f**6/420 - 4*f**5/105 - 13*f**4/84 - 2*f**3/7 - 25*f**2 - 5*f. Let u(q) = 0. Calculate q.
-6, -1
Let y(d) be the first derivative of d**3/18 + 5*d**2/4 - 8*d/3 - 61. Factor y(u).
(u - 1)*(u + 16)/6
Let v(h) be the second derivative of 15*h + 7/80*h**5 + 1/60*h**6 + 0*h**3 + 0 + 0*h**2 - 1/24*h**4 - 1/24*h**7. Determine d, given that v(d) = 0.
-1, 0, 2/7, 1
Let y = -6 - -9. Suppose 3*s = -4*r - 1 + 3, r + 5 = 2*s. Let 2*h**5 + 27*h**s - 15*h**4 + 48*h - 24*h**y + 12 + 17*h**3 - 26*h**3 + 7*h**5 = 0. Calculate h.
-1, -1/3, 2
Determine a so that 2046*a**2 + 37359*a**3 - 257 - 108*a - 103 + 59241*a**4 - 4116*a**5 - 2208*a = 0.
-2/7, 1/4, 15
Let -1/8*f**3 + 5/4*f**2 - 29/8*f + 5/2 = 0. Calculate f.
1, 4, 5
Let a(l) be the third derivative of l**8/336 - l**7/210 - 3*l**6/40 + 3*l**5/20 - l**2. Factor a(h).
h**2*(h - 3)*(h - 1)*(h + 3)
Let o(l) be the first derivative of -5*l**6/6 + 6*l**5 + 5*l**4/4 - 10*l**3 + 100. Suppose o(b) = 0. Calculate b.
-1, 0, 1, 6
Factor -81*d**3 - 2*d - 9*d**2 - 18*d**2 - d - 28*d**4 - 53*d**4.
-3*d*(3*d + 1)**3
Let n(p) be the third derivative of -p**7/7560 + 35*p**4/24 - 4*p**2 + 1. Let j(x) be the second derivative of n(x). What is c in j(c) = 0?
0
Let b(g) = g - 1. Let y be b(4). Suppose 2*f = -3 + 13. Factor -6*h**4 + 4 - 4 + y*h**f + 3*h**3.
3*h**3*(h - 1)**2
Let i(v) = 4*v**3 - 84*v**2 + 446*v - 5. Let g(o) = -o + 1. Let t(n) = -10*g(n) - 2*i(n). Solve t(p) = 0 for p.
0, 21/2
Factor 4/3*a + 2/15*a**2 + 0.
2*a*(a + 10)/15
Let y = 99/4 - -175/4. Let r = y - 66. Factor 2*l**2 + 1/2 - r*l.
(l - 1)*(4*l - 1)/2
Let z(f) = -7*f - 231. Let b be z(-33). Let u be ((-3)/(-5))/((-2 - -6) + -3). Factor 0*i + b - u*i**2.
-3*i**2/5
Let l(w) be the third derivative of 11*w**2 + 0 + 0*w**4 - 1/2520*w**8 + 1/900*w**6 + 0*w**3 + 1/225*w**5 + 0*w - 2/1575*w**7. Suppose l(a) = 0. What is a?
-2, -1, 0, 1
Factor 0 - 102/5*q**2 - 3/5*q**3 - 192/5*q.
-3*q*(q + 2)*(q + 32)/5
Let y(j) = -j**4 + 6*j**3 - 5*j**2 + 4*j + 2. Let a(w) = 2*w**4 - 13*w**3 + 10*w**2 - 9*w - 5. Let l(n) = 2*a(n) + 5*y(n). Factor l(k).
-k*(k - 2)*(k - 1)**2
Let w(h) = -h**3 + 10*h**2 - 6*h - 20. Let o be w(9). Let s(z) be the second derivative of 0 - 1/2*z**3 + 1/4*z**4 - o*z - 3*z**2. Let s(c) = 0. What is c?
-1, 2
Suppose 9 = x + 5*u, -u = 4*x - 5*u - 36. Factor 4*m - x*m - m - m**4 - 6*m**3 - 12*m**2 - 2*m.
-m*(m + 2)**3
Let o = 7/10 + -43/90. Let u = -20/39 - -86/117. Determine m, given that -2/9*m**2 + 2/9 - u*m**3 + o*m = 0.
-1, 1
Let k(h) be the third derivative of 0*h + 3*h**2 + 0 + 3/100*h**6 + 1/140*h**8 + 0*h**4 - 1/75*h**5 - 13/525*h**7 + 0*h**3. What is a in k(a) = 0?
0, 1/2, 2/3, 1
Let w(t) = -t**3 + t**2 - t - 1. Let b = -74 + 76. Let q(z) = z**3 - 2*z**2 + 2*z + 2. Let o(u) = b*w(u) + q(u). Solve o(m) = 0 for m.
0
Let c(m) be the first derivative of -m**5/180 + 2*m**3/27 + 4*m + 19. Let v(l) be the first derivative of c(l). Solve v(d) = 0 for d.
-2, 0, 2
Let b = -1682 + 1691. Let a(j) be the first derivative of b*j**2 + 0*j - 16/15*j**5 - 1/9*j**6 - 3*j**4 + 8 + 0*j**3. Factor a(k).
-2*k*(k - 1)*(k + 3)**3/3
Let j(o) be the first derivative of -3*o**4/22 - 16*o**3/11 + 123. Find t such that j(t) = 0.
-8, 0
Let k(y) = 4*y**5 - 5*y**4 - 9*y**3 + 5*y. Let c(x) be the second derivative of x**6/30 + x**5/20 - x**3/6 + 25*x. Let i(g) = -5*c(g) - k(g). Factor i(d).
-4*d**3*(d - 1)*(d + 1)
Let u(r) be the third derivative of r**8/5880 - r**6/1260 - 11*r**3/3 - r**2. Let x(f) be the first derivative of u(f). Factor x(j).
2*j**2*(j - 1)*(j + 1)/7
Suppose 0 = 4*f - 7*f + 48. Let n = -12 + f. Factor 6*d**3 - 13*d + 37*d - 62*d**2 + 21*d**n - d**2 + 12.
3*(d - 1)**2*(d + 2)*(7*d + 2)
Let j(g) be the third derivative of -g**6/240 - 7*g**5/72 - 2*g**4/3 + g**3 - 16*g**2. Solve j(d) = 0 for d.
-6, 1/3
Let i(f) = -2*f**5 - 16*f**4 + 7*f**3 + 11*f**2 + 11*f + 11. Let r(z) = z**5 + 5*z**4 - 2*z**3 - 4*z**2 - 4*z - 4. Let c(y) = -4*i(y) - 11*r(y). Factor c(a).
-3*a**3*(a - 2)*(a - 1)
Let m(t) be the second derivative of t**7/42 + 7*t**6/30 + 19*t**5/20 + 25*t**4/12 + 8*t**3/3 + 2*t**2 - 13*t - 5. Factor m(p).
(p + 1)**3*(p + 2)**2
Let n(l) = 13*l**4 - 22*l**3 - 20*l**2 + 5*l - 5. Let i(w) = -24*w**4 + 45*w**3 + 42*w**2 - 9*w + 9. Let v(f) = -5*i(f) - 9*n(f). Determine b so that v(b) = 0.
-1, 0, 10
Let h(i) = -i**3 - 7*i**2 - 14*i - 45. Let l be h(-6). What is y in -314/7*y**2 - 6/7*y**4 + 80/7*y**l + 312/7*y - 72/7 = 0?
1/3, 1, 6
Let g(a) be the third derivative of a**8/216 + a**7/105 + a**6/270 + a**2 + 54. Factor g(p).
2*p**3*(p + 1)*(7*p + 2)/9
Let h(n) be the third derivative of -n**5/210 + n**4/84 - 60*n**2. Factor h(p).
-2*p*(p - 1)/7
Factor 2*t**3 - 3*t**3 + 4*t**3 - t**5 + 0*t**3 - t**2 - t**2.
-t**2*(t - 1)**2*(t + 2)
Let w(f) be the first derivative of -f**6/960 - 11*f**5/160 - 121*f**4/64 + 2*f**3/3 - 38. Let l(j) be the third derivative of w(j). Factor l(c).
-3*(c + 11)**2/8
Let t(i) = -i**3 + i**2 - 2*i + 5. Let g be t(0). Solve q**3 + 7*q**2 - 11*q**2 + 4*q**3 + 2 + 7*q**4 - 5*q**2 - g*q = 0.
-1, 2/7, 1
Suppose -10 = -10*h + 20. Let a be 2 + 0/(-1) - 0. Suppose 2 + a*i**3 + 16*i**2 + 10*i + 0 + i + 5*i**h = 0. Calculate i.
-1, -2/7
Let m(k) be the second derivative of 2*k**6/15 - k**5/5 - k**4/3 + 2*k**3/3 + 4*k - 13. Find r, given that m(r) = 0.
-1, 0, 1
Let m(q) be the second derivative of q**7/126 - 11*q**6/90 + 43*q**5/60 - 77*q**4/36 + 32*q**3/9 - 10*q**2/3 - 6*q - 3. Determine v so that m(v) = 0.
1, 2, 