 + b)*-10. Determine n so that 4*n**5 + 2*n**4 + 2*n**4 - 2*n**3 - 5*n**5 - n**y = 0.
0, 1
Let j(f) be the first derivative of -f**7/560 + f**5/80 + 2*f**3 - 19. Let x(a) be the third derivative of j(a). Find r such that x(r) = 0.
-1, 0, 1
Let u(t) = -6*t**2 - 2*t + 14. Let l(b) = -b - 26. Let d be l(-23). Let h(v) = -7*v**2 - 3*v + 13. Let m(x) = d*u(x) + 2*h(x). Factor m(q).
4*(q - 2)*(q + 2)
Let y = -1480 - -1482. Let q = 40 - 77/2. Factor -3/2 - 3/8*n**y + q*n.
-3*(n - 2)**2/8
Let l = 2/8859 - -11810/8859. Solve 2/3*g**4 + l*g**3 + 2/3*g**2 + 0 + 0*g = 0 for g.
-1, 0
Let u(k) be the first derivative of 0*k**3 + 3 + 1/8*k**2 + 0*k - 1/16*k**4. Suppose u(s) = 0. What is s?
-1, 0, 1
Let p(n) = -4*n**2 - 1 + 17*n + 2*n - 4*n - 10. Let y(i) = 36*i**2 - 136*i + 100. Let m(z) = -28*p(z) - 3*y(z). Factor m(o).
4*(o - 2)*(o - 1)
Factor -10*d**2 - 3*d - 6 + 13*d**2 + 0 - 12.
3*(d - 3)*(d + 2)
Solve 41/8 - 21/4*a + 1/8*a**2 = 0.
1, 41
Let l(z) be the third derivative of -z**8/168 - 13*z**7/315 - 2*z**6/27 + 4*z**5/45 + 4*z**4/9 + 16*z**3/27 + 56*z**2. Solve l(x) = 0.
-2, -2/3, 1
Let p(s) be the first derivative of -s**6/2 + 132*s**5 - 47955*s**4/4 + 372590*s**3 + 1191030*s**2 + 1215672*s - 759. Factor p(z).
-3*(z - 74)**3*(z + 1)**2
Let d(n) be the third derivative of -n**5/150 + n**4/20 - 2*n**3/15 - 21*n**2. Factor d(j).
-2*(j - 2)*(j - 1)/5
Let q(o) be the second derivative of -o**4/20 - 11*o**3/5 + 69*o**2/10 + 10*o. Factor q(g).
-3*(g - 1)*(g + 23)/5
Let x(z) be the third derivative of -1/150*z**5 + 1/15*z**3 + 0 + 10*z**2 + 0*z**4 + 0*z. Factor x(h).
-2*(h - 1)*(h + 1)/5
Factor c - c**2 + 25*c**2 + 9 + 3*c - 25*c**2 - 4.
-(c - 5)*(c + 1)
Let u(c) = 15*c - 3. Let o be u(1). Determine t, given that -9*t + 17*t - 12*t**2 - o*t**4 - 27*t**3 - 5*t**3 = 0.
-2, -1, 0, 1/3
Let g(x) = 11*x**2 + 142*x - 1309. Let v(r) = -3*r**2 - 36*r + 327. Let o(z) = 2*g(z) + 9*v(z). Suppose o(l) = 0. What is l?
-13, 5
Let i(b) be the second derivative of 10*b**2 - 25/6*b**3 + 19*b + 0 + 5/12*b**4. Determine g, given that i(g) = 0.
1, 4
Let u = -14623 + 14627. Factor 10/11*h**2 + 8/11*h**3 + 0 + 4/11*h + 2/11*h**u.
2*h*(h + 1)**2*(h + 2)/11
Let x be 3/((-12)/(-5))*6/25. Let b(y) be the first derivative of 0*y**4 + 1/2*y**3 + 3/8*y**2 - x*y**5 - 1/8*y**6 + 0*y + 6. Suppose b(a) = 0. Calculate a.
-1, 0, 1
Let g = -15 + 18. Suppose -4*r + 19 - 5 = -p, 0 = g*r - 3*p - 15. Let 6*k**4 + 7*k**2 - 17*k**4 - k**4 + 3*k**r + 5*k**2 - 3*k = 0. Calculate k.
-1, 0, 1/4, 1
Let v(t) be the third derivative of -t**6/120 - t**5/10 - 2*t**2 - 24*t. Factor v(h).
-h**2*(h + 6)
Let h be 75/(-225)*9/(-20). Let y(j) be the second derivative of 0*j**3 + 0 - 9*j - 1/2*j**4 + 0*j**2 + h*j**5. Factor y(f).
3*f**2*(f - 2)
Let s(w) = -7*w**3 + 107*w**2 - 1739*w + 9826. Let q(f) = -4*f**3 + 54*f**2 - 870*f + 4913. Let i(l) = 5*q(l) - 3*s(l). What is y in i(y) = 0?
17
Factor -33/5 + 1/10*n**2 + 1/2*n.
(n - 6)*(n + 11)/10
Let q(l) be the first derivative of 0*l + 15 - 75/8*l**2 - 3/16*l**4 - 5/2*l**3. Determine w so that q(w) = 0.
-5, 0
Determine j so that -47*j - 14*j**3 + 35*j - 4*j**4 - 2*j**3 - 28*j**2 - 4*j**3 = 0.
-3, -1, 0
Let u(z) be the first derivative of -z**4/12 - 7*z**3/9 - 7*z**2/6 + 5*z - 207. Factor u(d).
-(d - 1)*(d + 3)*(d + 5)/3
Let s(c) be the second derivative of c**7/21 - 2*c**6/15 - 4*c**5/5 + 2*c + 306. Let s(i) = 0. Calculate i.
-2, 0, 4
Let y(a) = 7*a**5 + 9*a**3 + 10*a**2 - 6. Let o(r) = -5*r**5 - 10*r**3 - 10*r**2 + 5. Let k(f) = 6*o(f) + 5*y(f). Find h, given that k(h) = 0.
-1, 0, 2
Let x(u) be the second derivative of u**5/105 - u**4/14 + 4*u**3/21 - 10*u**2 + 19*u. Let v(p) be the first derivative of x(p). Solve v(t) = 0 for t.
1, 2
Let g(p) be the third derivative of -p**8/112 - 2*p**7/35 + 29*p**6/40 - 7*p**5/5 - 7*p**4/2 + 16*p**3 + 7*p**2 + 5. Determine y, given that g(y) = 0.
-8, -1, 1, 2
Suppose 0 = -27*q + 2725 - 2644. Determine f, given that q*f - 1/2*f**2 + 0 = 0.
0, 6
Let h(f) be the second derivative of -1/10*f**5 + 1/3*f**3 + 1/6*f**4 - f**2 + 28*f + 0. Factor h(s).
-2*(s - 1)**2*(s + 1)
Let d(f) = -f**2 + f - 1. Let k(w) = 25*w**2 + 65*w - 60. Let b(n) = -30*d(n) - k(n). Factor b(a).
5*(a - 18)*(a - 1)
Suppose -g + 39*g - 23736 = 9704. Factor -270*o**2 + 125/4*o**3 - 5/4*o**4 - 640 + g*o.
-5*(o - 8)**3*(o - 1)/4
Let g = -10 - -15. Find v, given that -4*v**2 + 10 + 27*v - 17 + g*v - 57 = 0.
4
Factor -1700*y + y**4 + 1700*y + 2*y**3 + 3*y**3 + 3*y**2 - y**5.
-y**2*(y - 3)*(y + 1)**2
Let i(k) be the third derivative of -k**7/210 + 7*k**6/12 - 96*k**5/5 - 108*k**4 + 286*k**2. Factor i(d).
-d*(d - 36)**2*(d + 2)
Let d(k) be the third derivative of -k**7/105 + k**6/10 + 8*k**5/15 + 2*k**2 + 72*k. Determine n, given that d(n) = 0.
-2, 0, 8
Suppose 5*x - 10*x = -15. Factor 36*z**x - 2 + 2 - 6*z**2 + 6*z**4 - 4*z + 2*z**5 - 34*z**3.
2*z*(z - 1)*(z + 1)**2*(z + 2)
Let m(t) be the third derivative of 0*t**5 - 1/156*t**4 + 0*t + 10*t**2 + 1/780*t**6 + 0*t**3 + 0. Find l, given that m(l) = 0.
-1, 0, 1
Let j(i) be the third derivative of i**6/60 + 11*i**5/30 + 19*i**4/12 + 3*i**3 - 279*i**2. Factor j(h).
2*(h + 1)**2*(h + 9)
Let c(k) = -2*k**3 + 4*k**2 + 6*k. Let x(w) = -1 - 6*w**2 + 3*w**2 + 2*w**2. Let q(d) = -c(d) - 4*x(d). Factor q(a).
2*(a - 1)**2*(a + 2)
Let y(g) = -g**3 + 21*g**2 + 22*g + 3. Let d be y(22). Let r(h) be the first derivative of 2/7*h**2 - 9 + 0*h + 6/7*h**d. Factor r(u).
2*u*(9*u + 2)/7
Suppose -2*w - 10 = r, 0 - 25 = -r + 5*w. Let t(l) = -4*l - 34. Let c be t(-9). What is d in 3*d**3 + 2*d**c - 2*d**3 + r*d**2 + d = 0?
-1, 0
Suppose 62 = 6*m + 8. Solve m*x**3 + 3*x**5 - 5*x**3 + 12*x**4 + 10*x**3 + 6*x**2 + x**3 = 0.
-2, -1, 0
Let r(i) be the first derivative of -1/9*i**6 + 4/5*i**5 + 20/9*i**3 + 0*i - 2*i**4 + 13 - i**2. Suppose r(w) = 0. Calculate w.
0, 1, 3
Let 123/2*y + 3/2*y**3 - 63*y**2 + 0 = 0. What is y?
0, 1, 41
Suppose -1728 = 3*s - 1743. Let w(h) be the first derivative of 365/16*h**4 + 215/12*h**3 + 14*h**s + 5/4*h + 55/8*h**2 + 10/3*h**6 + 2. Factor w(y).
5*(y + 1)**3*(4*y + 1)**2/4
Let n(h) = 3*h**4 - 21*h**3 + 33*h**2 + 15*h - 48. Let w(s) = 3*s**4 - 21*s**3 + 34*s**2 + 14*s - 48. Let d(r) = 2*n(r) - 3*w(r). Factor d(p).
-3*(p - 4)*(p - 2)**2*(p + 1)
Let d(j) be the second derivative of j**6/285 - 4*j**5/95 + 5*j**4/114 + 50*j**3/57 + 787*j. Determine k, given that d(k) = 0.
-2, 0, 5
Factor -4/3*h**3 + 8*h**2 + 0 + 0*h.
-4*h**2*(h - 6)/3
Let c be (-6)/5*(-10)/4. Suppose -2*v + v = -4*n + 5, -v = 2*n - 7. Factor -2*t - t + t - c*t**3 + 5*t**v.
2*t*(t - 1)*(t + 1)
Let o be (-4)/18 + 56/9. Suppose 16 = o*v - 2*v. Solve 6*j**2 + 7*j - j + 2*j**3 - 2 + v = 0 for j.
-1
Let i(m) be the second derivative of -m**6/600 - m**5/150 - m**4/120 + m**2 + 11*m. Let j(v) be the first derivative of i(v). Find u, given that j(u) = 0.
-1, 0
Let q be (-215)/(-130) - (-4)/(-104)*4. Let o(s) be the first derivative of -4 + 0*s + 1/4*s**4 + q*s**2 - 4/3*s**3. What is p in o(p) = 0?
0, 1, 3
Suppose -5*i + g = -9, 50*g + 13 = 5*i + 48*g. Let w(t) be the first derivative of -9/16*t**4 - 1/4*t**2 - i - 11/12*t**3 + 0*t. Find r, given that w(r) = 0.
-1, -2/9, 0
Let i(y) be the second derivative of -y**6/2 + 2*y**5 - 5*y**4/2 + 5*y**2/2 - y - 106. Find m, given that i(m) = 0.
-1/3, 1
Let q(b) be the third derivative of -b**8/1008 + b**6/20 - 8*b**5/45 + 5*b**4/24 + 3*b**2 - 22*b. Solve q(n) = 0.
-5, 0, 1, 3
Let n(z) be the second derivative of z**7/42 - z**5/10 + z**3/6 - 13*z + 2. Factor n(g).
g*(g - 1)**2*(g + 1)**2
Factor -54*u**3 + 5*u**2 + 115*u**3 - 59*u**3 + 33 + 182*u + 261 + 29*u**2.
2*(u + 3)*(u + 7)**2
Let b(d) be the first derivative of -d**4/32 - d**3/8 + d**2/16 + 3*d/8 + 7. Factor b(a).
-(a - 1)*(a + 1)*(a + 3)/8
Suppose -u - 3*a + 8 = 4*u, 4*a + 28 = 3*u. Factor -80*n**u - 18*n**2 + 85*n**4 - 6*n**3 + 16*n**3 - 30*n - 7*n**2.
5*n*(n - 2)*(n + 1)*(n + 3)
Let m(a) = -a**5 - a**4 + a**3 + a**2 + a. Let t(y) = -y**5 + 2*y**4 + 2*y**3 - 8*y**2 + y + 6. Let s(r) = 2*m(r) - t(r). Let s(h) = 0. What is h?
-3, -2, -1, 1
Let g(n) be the third derivative of 1/9*n**3 + 2/105*n**7 + 1/144*n**8 + 0*n + 0 - 6*n**2 - 1/90*n**6 - 1/24*n**4 - 7/90*n**5. Factor g(l).
(l - 1)*(l + 1)**3*(7*l - 2)/3
Let c(y) be the first derivative of y**4/4 + y**3/3 + 11*y**2/2 