erivative of 1/40*r**6 + 0*r + 5/8*r**4 + 0 - 4*r**2 + r**3 + 1/5*r**5. Solve x(i) = 0.
-2, -1
Let p(y) be the first derivative of -y**7/1680 - y**6/120 - y**5/20 - y**4/6 + 19*y**3/3 - 3. Let s(u) be the third derivative of p(u). Let s(i) = 0. What is i?
-2
Let b(n) be the second derivative of 2*n**7/21 - 2*n**6/15 - 6*n**5/5 - 2*n**4/3 + 10*n**3/3 + 6*n**2 - 15*n + 3. Factor b(j).
4*(j - 3)*(j - 1)*(j + 1)**3
Let l = -24968 + 24972. Factor 3 - 1/2*m**l - 3/2*m**3 + 3/2*m**2 + 11/2*m.
-(m - 2)*(m + 1)**2*(m + 3)/2
Suppose 26 = 4*f - 3*u, 212*u - 211*u = 5*f - 16. Let -1/2*z**3 - 49/2 - 63/2*z - 15/2*z**f = 0. What is z?
-7, -1
Let v(l) = -l - 7. Let a be v(5). Let o be 13 - 2*a/(-8). Factor -4*n**2 - 4*n**2 + 2 - n**2 - 3*n + o*n**2.
(n - 2)*(n - 1)
Let d(m) be the third derivative of m**8/420 + m**7/21 + 101*m**6/300 + 47*m**5/50 + 3*m**4/20 - 18*m**3/5 - 2*m**2 - 53*m. Let d(r) = 0. What is r?
-6, -3, -1, 1/2
Let j(a) be the third derivative of 0*a + 0*a**3 + 1/40*a**5 - 11*a**2 - 1/80*a**6 + 1/8*a**4 + 0. Solve j(p) = 0 for p.
-1, 0, 2
Let l(y) be the first derivative of -y**5/20 + y**4/2 - 5*y**3/4 - 627. Factor l(b).
-b**2*(b - 5)*(b - 3)/4
Let q(z) be the second derivative of z**6/45 - z**5/5 + 2*z**4/3 - 8*z**3/9 + 4*z. Determine k, given that q(k) = 0.
0, 2
Let v = 1710 - 1707. Let q(y) be the first derivative of -3/7*y**2 + v + 0*y - 3/7*y**3. Let q(c) = 0. What is c?
-2/3, 0
Let x = -794 - -4016/5. Let i = 3333/335 - -57/67. Find o such that 14/5*o**4 + 26/5*o + x*o**3 + i*o**2 + 4/5 = 0.
-1, -2/7
Let k = 11208/7 + -11206/7. Find g such that -12/7*g - 18/7 - k*g**2 = 0.
-3
Let n(q) = q**3 + 16*q**2 + 16*q + 18. Let w be n(-15). Let u be 6 + (-5 - w/27). Solve 14/9*d + 2/3*d**2 + u = 0.
-4/3, -1
Suppose 2*p - 74 = 2*y, 3*y = -p - 0*y + 17. Let f(v) be the first derivative of -231/4*v**4 + p*v**3 + 0*v + 147/5*v**5 - 6*v**2 - 4. Factor f(m).
3*m*(m - 1)*(7*m - 2)**2
Let i = 947/105 - 181/21. Factor -6/5*d + 6/5*d**3 - 4/5 + i*d**2 + 2/5*d**4.
2*(d - 1)*(d + 1)**2*(d + 2)/5
Let s(f) be the first derivative of 0*f + 3/5*f**5 + 0*f**3 - 1/2*f**6 + 0*f**4 + 0*f**2 + 18. Factor s(k).
-3*k**4*(k - 1)
Let x be 0 - -1 - 3*8/24. Let f(v) be the second derivative of 0*v**2 + 1/35*v**5 + 1/21*v**4 + x - 6*v - 4/21*v**3. Solve f(u) = 0 for u.
-2, 0, 1
Determine p, given that -14/5*p**2 - 16/5 + 28/5*p + 2/5*p**3 = 0.
1, 2, 4
Let h(z) be the third derivative of -1/360*z**6 + 0 - 3/8*z**4 + 0*z + 5*z**2 + 1/20*z**5 - 1/6*z**3. Let t(v) be the first derivative of h(v). Factor t(u).
-(u - 3)**2
Let a(z) be the second derivative of 2*z**7/735 + z**6/105 - z**4/21 - 2*z**3/21 + 5*z**2/2 - 18*z. Let r(c) be the first derivative of a(c). Factor r(s).
4*(s - 1)*(s + 1)**3/7
Let i be (16/20)/((-408)/(-170)). What is b in 2/3*b + 4/3 - i*b**2 - 1/6*b**3 = 0?
-2, 2
Let i(o) be the first derivative of -o**5/15 - o**4/18 + 5*o**3/9 - 2*o**2/3 - 2*o - 13. Let y(x) be the first derivative of i(x). Factor y(s).
-2*(s - 1)*(s + 2)*(2*s - 1)/3
Solve 9/7*s**2 + 12/7 + 6/7*s**3 - 24/7*s - 3/7*s**4 = 0 for s.
-2, 1, 2
Suppose 2*w**3 + 27/7 - 45/7*w - 1/7*w**5 - 1/7*w**4 + 6/7*w**2 = 0. Calculate w.
-3, 1, 3
Let b(y) be the third derivative of -y**8/112 + y**7/70 + y**6/40 - y**5/20 - 408*y**2. Find f such that b(f) = 0.
-1, 0, 1
Let w(k) = k - 1. Let h = 23 - 19. Let g be w(h). Let 7*f**3 + 12*f**2 - 6*f**2 - g*f**2 - 4*f**3 = 0. Calculate f.
-1, 0
Suppose 7/3*v**3 - 3*v**2 + 2/3*v + 0 = 0. What is v?
0, 2/7, 1
Factor -m**3 - 2*m + 3*m**3 - 838 + 850 - 12*m**2.
2*(m - 6)*(m - 1)*(m + 1)
Let k(o) = 9*o**3 + 47*o**2 - o - 55. Let a(t) = 3*t**3 - 2*t**2 + t - 2. Let p(w) = -2*a(w) + k(w). Let p(q) = 0. What is q?
-17, -1, 1
Suppose 5*i = 7*i - 14. Let n(s) be the first derivative of -s + 4*s + s + 4*s**3 + s**4 + 6*s**2 - i - 4. Determine k so that n(k) = 0.
-1
Let l(q) = 16*q**2 + 9*q - 5. Let o(u) = -u**2 - 1. Suppose -3*g + 4*z = g + 4, 0 = 4*g + 4*z - 12. Let i(h) = g*l(h) + o(h). Find j, given that i(j) = 0.
-1, 2/5
Let m(n) be the second derivative of n**5/8 - 4*n**4/3 + 19*n**3/4 - 9*n**2/2 + 274*n. What is i in m(i) = 0?
2/5, 3
Let m(q) be the first derivative of -q**6/30 - 3*q**5/25 - q**4/10 - 465. Factor m(b).
-b**3*(b + 1)*(b + 2)/5
Let r(t) be the first derivative of -56*t - 38 + 4*t**2 - 2/21*t**3. Determine n, given that r(n) = 0.
14
Let w(j) = 61*j**3 + 607*j**2 + 1995*j - 735. Let m(f) = -40*f**3 - 405*f**2 - 1330*f + 490. Let n(x) = 8*m(x) + 5*w(x). Solve n(k) = 0 for k.
-7, 1/3
Let w be (-4)/(-7) - 328/(-287). Let -4/7*d**3 + 12/7*d**2 + 4/7*d - w*d**4 + 0 = 0. What is d?
-1, -1/3, 0, 1
Let u = 37679/2404 - -46/601. Factor -3/4*m**3 + 1029/4 - 441/4*m + u*m**2.
-3*(m - 7)**3/4
Let h(m) be the second derivative of -m**5/10 + 7*m**4/6 + 6*m**3 + 2*m + 282. Factor h(d).
-2*d*(d - 9)*(d + 2)
Let j(a) be the third derivative of -3*a**2 + 0*a - 1/18*a**3 - 1/72*a**4 + 1/360*a**6 + 1/180*a**5 + 0. Determine h, given that j(h) = 0.
-1, 1
Let v = 12 + -10. Solve -3*f**2 - 2*f**3 - 5*f**2 - 5*f - v*f**2 - 3*f**3 = 0.
-1, 0
Let r(c) be the second derivative of c**4/36 + 5*c**3/6 - 8*c**2/3 + 15*c - 5. Factor r(k).
(k - 1)*(k + 16)/3
Let k(v) = -25*v**2 + 27*v - 21. Let z(u) = 12*u**2 - 14*u + 11. Let a(m) = -3*k(m) - 7*z(m). Let y(o) = -o**2 - o. Let r(x) = -5*a(x) + 30*y(x). Factor r(q).
5*(q - 7)*(3*q - 2)
Determine z so that 24*z - 120*z**2 - 27/4*z**4 + 0 + 111/2*z**3 = 0.
0, 2/9, 4
Let z = -6020 + 42142/7. What is r in 0 + 2/7*r - 2/7*r**3 - z*r**4 + 2/7*r**2 = 0?
-1, 0, 1
Let w(j) be the second derivative of -j**7/6720 - j**6/240 - j**5/20 + 7*j**4/6 + 34*j. Let b(m) be the third derivative of w(m). Let b(t) = 0. Calculate t.
-4
Let q = 35/53 - 17/106. Solve h - q*h**2 + 3/2 = 0 for h.
-1, 3
Factor 6*i**2 + 3/2*i**3 - 6*i + 0 - 3/2*i**4.
-3*i*(i - 2)*(i - 1)*(i + 2)/2
Let v(c) be the first derivative of c**6/21 + 103. Factor v(s).
2*s**5/7
Let h(d) be the second derivative of -d**6/280 - 3*d**5/140 + 2*d**3/7 - 5*d**2/2 - 4*d. Let v(k) be the first derivative of h(k). Suppose v(t) = 0. What is t?
-2, 1
Let w(y) be the second derivative of 0 - 14*y - 1/9*y**3 + 1/30*y**5 + 0*y**2 + 0*y**4. Factor w(l).
2*l*(l - 1)*(l + 1)/3
Factor 5*i - 4*i - 4*i - i**2 + 24 + 5*i + 8*i.
-(i - 12)*(i + 2)
Let u(j) be the second derivative of -j**5/30 + 31*j**4/6 - 235*j**3 - 2209*j**2/3 - 30*j. Find a, given that u(a) = 0.
-1, 47
Let b(d) be the first derivative of -d**5/30 + 3*d**4/2 - 27*d**3 - 29*d**2/2 + 22. Let j(z) be the second derivative of b(z). Solve j(x) = 0.
9
Let a(n) = n**2 - 4*n. Let g be a(4). Suppose 5*o - 4*x = -5, g = 3*o + 5*x - 24 - 10. Factor 24*l**o + 21*l**3 - 35*l**3 + 14*l**2 - 8*l**4 - 4*l.
-2*l*(l - 2)*(l + 1)*(4*l - 1)
Let g(l) be the second derivative of 2*l**7/21 - 14*l**6/15 + 9*l**5/5 + 7*l**4/3 - 20*l**3/3 - 3*l - 37. Let g(y) = 0. What is y?
-1, 0, 1, 2, 5
Let z(c) be the second derivative of 25*c - 1/42*c**7 + 1/4*c**4 + 0*c**2 + 1/3*c**3 + 0 - 1/10*c**6 - 1/20*c**5. Determine s, given that z(s) = 0.
-2, -1, 0, 1
Let h(w) be the second derivative of 7*w**6/15 + w**5/5 - 7*w**4/6 - 2*w**3/3 + 27*w - 2. Find d such that h(d) = 0.
-1, -2/7, 0, 1
Let p(v) be the third derivative of -5*v**8/112 + v**7/35 + v**6/4 - v**5/5 - 5*v**4/8 + v**3 - 2*v**2 - 210. Solve p(o) = 0 for o.
-1, 2/5, 1
Let z(a) = 20*a**3 + 4*a**2 - 24*a - 8. Let m(k) = -7*k**3 - k**2 + 8*k + 3. Let q(g) = 8*m(g) + 3*z(g). Find b, given that q(b) = 0.
-2, 0, 1
Let f(d) be the second derivative of 0 + 1/12*d**4 - 1/60*d**5 + 1/720*d**6 + 1/3*d**3 - 11*d + 0*d**2. Let g(a) be the second derivative of f(a). Factor g(p).
(p - 2)**2/2
Let s(o) be the third derivative of -o**7/945 - 2*o**6/135 - 13*o**5/270 - o**4/18 - 24*o**2 - 2*o. Factor s(u).
-2*u*(u + 1)**2*(u + 6)/9
Let c(j) be the first derivative of j**6/12 + 7*j**5/10 + 11*j**4/8 + 5*j**3/6 + 8. Factor c(r).
r**2*(r + 1)**2*(r + 5)/2
Suppose -i - 2*s - 1 = -s, 2 = 3*i - 2*s. Let b(r) be the third derivative of 0*r**5 + 1/420*r**6 + 0*r**4 - 4*r**2 + 0 + 0*r + i*r**3. Factor b(j).
2*j**3/7
Let n(d) = d**2 - 60*d + 174. Let y be n(3). Let a(i) be the third derivative of 0*i + 0 + i**y - 7/8*i**4 - 3*i**2 + 3/20*i**5. Factor a(b).
3*(b - 2)*(3*b - 1)
Suppose -f - 15 = -4*f. Suppose f*y + 14 = 59. Factor 0*v**4 - y*v**5 + 