nd n, given that x(n) = 0.
1/4, 3
Factor 1008 + 4300/7*y**2 + 1416*y + 2/7*y**5 + 402/7*y**3 - 72/7*y**4.
2*(y - 21)**2*(y + 2)**3/7
Let 195/2*l + 387/4 + 3/4*l**2 = 0. Calculate l.
-129, -1
Suppose 50*d - 58*d + 48 = 0. Let b(t) be the first derivative of 9/5*t**5 + 0*t**3 - t**d + 3/2*t**4 + 5 + 0*t + 0*t**2. Factor b(h).
-3*h**3*(h - 2)*(2*h + 1)
Let d(p) be the third derivative of p**6/3600 - p**5/400 - 4*p**3/3 - 12*p**2. Let b(w) be the first derivative of d(w). Solve b(g) = 0.
0, 3
Let a(s) be the second derivative of -s**7/21 + 2*s**6/45 + s**5/6 - 2*s**4/9 - 167*s. Solve a(c) = 0 for c.
-4/3, 0, 1
Let t(u) = -u + 1. Let f(c) = -c. Let b(x) = 6*f(x) - 4*t(x). Let o be b(-2). Solve 1/6*q**3 + 1/6*q**2 + o + 0*q = 0 for q.
-1, 0
Suppose -r + 4 + 1 = 0. Let g be 5/25*r*1. Factor g - 3*n**3 + n**3 + 0*n**3 + 2*n + n**4 - 2.
(n - 1)**3*(n + 1)
Suppose 5*m + 5*b = 0, 24*m + 4*b = 24*m - 20. Let -2/9*c**m + 0 - 2/9*c**3 + 4/9*c**4 + 0*c**2 + 0*c = 0. Calculate c.
0, 1
Let i(z) = z**2 + 2*z - 1. Let w(a) = 20*a**3 - 70*a + 15. Let p(v) = -5*i(v) + w(v). Factor p(y).
5*(y - 2)*(y + 2)*(4*y - 1)
Let a(z) be the second derivative of z**7/70 - z**6/40 - 3*z**5/20 + z**4/8 + z**3 + 25*z**2/2 + 2*z - 1. Let f(o) be the first derivative of a(o). Factor f(k).
3*(k - 2)*(k - 1)*(k + 1)**2
Suppose 47*v = 40*v + 175. Solve 3*f**2 - 19*f - 2*f**2 + v*f - 7 = 0 for f.
-7, 1
Let q(k) = 6 - 1 + 3*k**2 + k + 4*k + 1. Let g be -15*-6*5/50. Let u(l) = 7*l**2 + 11*l + 13. Let p(t) = g*q(t) - 4*u(t). Determine h, given that p(h) = 0.
-1, 2
Let i(b) be the second derivative of b**5/4 - 25*b**4/4 - 40*b**3/3 + 174*b + 1. Factor i(l).
5*l*(l - 16)*(l + 1)
Let b(v) be the second derivative of v**7/15120 - 11*v**6/4320 + v**5/72 - 3*v**4 + 9*v. Let l(r) be the third derivative of b(r). Factor l(n).
(n - 10)*(n - 1)/6
Let i = -34409/666 + -1/666. Let b = i - -53. Factor -8/9*h - 2/9*h**4 - 2/9 - 8/9*h**3 - b*h**2.
-2*(h + 1)**4/9
Let n(b) be the second derivative of -3/140*b**5 + 0 - 1/42*b**4 + 19/42*b**3 - 3/7*b**2 - 10*b. Factor n(k).
-(k - 2)*(k + 3)*(3*k - 1)/7
What is q in -45/2 + 625/2*q + 35*q**2 = 0?
-9, 1/14
Let t(y) be the second derivative of -y**6/6 - 7*y**5/4 - 5*y**4/2 + 80*y**3/3 + 80*y**2 + 4*y. Determine p, given that t(p) = 0.
-4, -1, 2
Let w = 9234 - 9231. Suppose 28/5*j**w - 8/5*j**5 - 4/5*j - 4/5*j**4 + 28/5*j**2 - 8/5 = 0. Calculate j.
-1, 1/2, 2
Let n = -28599/200 + 143. Let z(q) be the third derivative of n*q**6 + 0 + 0*q**3 + 1/40*q**4 + 6*q**2 + 0*q + 1/50*q**5. Factor z(k).
3*k*(k + 1)**2/5
Let p(h) be the third derivative of h**7/105 + h**6/20 - h**5/30 - h**4/4 + 260*h**2. Suppose p(s) = 0. Calculate s.
-3, -1, 0, 1
Let f(m) be the second derivative of 1/39*m**4 + 0*m**2 + 0 + 1/39*m**3 + 24*m + 1/130*m**5. Factor f(v).
2*v*(v + 1)**2/13
Let c be (10*3)/((-1200)/(-200)). Suppose 13/4*z**3 + 0 + z + 3*z**2 + 1/4*z**c + 3/2*z**4 = 0. Calculate z.
-2, -1, 0
Let u be ((40/(-144))/(-5))/(12/96). Solve 0 - 8/9*q**2 + 7/9*q**3 - u*q + 5/9*q**4 = 0.
-2, -2/5, 0, 1
Suppose 0 = 3*p + o - 26, -5*p - 3*o + 48 = o. Factor -5*k + 37*k**2 - p - 15*k**2 - 23*k**2 + 4.
-(k + 1)*(k + 4)
Let x(g) = 2*g + 1. Let l(z) = -16*z**2 + 66*z - 53. Let t(w) = -l(w) - 5*x(w). Solve t(y) = 0 for y.
3/4, 4
Let r(k) = 2*k**2 - 2*k - 7. Let q(b) = -5*b**2 + 5*b + 15. Let c(l) = -3*q(l) - 5*r(l). Determine o, given that c(o) = 0.
-1, 2
Let p(n) be the second derivative of n**6/2700 - n**4/180 - 5*n**3/3 + n. Let u(h) be the second derivative of p(h). Find y such that u(y) = 0.
-1, 1
Let s(v) be the first derivative of -2*v**5/25 - v**4/10 + 172. What is p in s(p) = 0?
-1, 0
Let r = -23444/15 + 1563. Let q(z) be the third derivative of -8*z**2 + 0*z - 1/120*z**4 + 0 + 1/300*z**5 - r*z**3. Factor q(o).
(o - 2)*(o + 1)/5
What is p in -96*p**5 + 0 + 69/2*p**3 + 216*p**4 + 75*p - 405/2*p**2 = 0?
-1, 0, 5/8, 2
Let k(w) be the first derivative of -w**4/7 - 4*w**3/3 + 16*w**2/7 - 281. Factor k(i).
-4*i*(i - 1)*(i + 8)/7
Let n(p) be the second derivative of -2*p**6/15 - 2*p**5 + 23*p**4/3 + 160*p**3 - 1152*p**2 + 839*p. Factor n(c).
-4*(c - 3)**2*(c + 8)**2
Let p = -2 + 2. Let h be (-70 - -64) + (-44)/(-7). Factor -h*c + 4/7*c**2 + p - 2/7*c**3.
-2*c*(c - 1)**2/7
Let x be (-423)/752*1/(-9). Let o(k) be the first derivative of 0*k**2 - 1/6*k**3 - 2 + 1/20*k**5 + 0*k - x*k**4. What is l in o(l) = 0?
-1, 0, 2
Let b = -22 - -26. Suppose 4 - n**2 - 4*n**b - 15*n + 3*n + 12*n**3 - 3*n**2 + 4 = 0. Calculate n.
-1, 1, 2
Let f(a) = 4*a - 78. Suppose -4*w - j + 72 = j, 0 = 5*w - 5*j - 120. Let q be f(w). Factor 2/5*t**q + 0 - 4/5*t.
2*t*(t - 2)/5
Let u(i) be the first derivative of 2*i**3/3 - 10*i**2 + 32*i - 234. Suppose u(v) = 0. Calculate v.
2, 8
Suppose -27*v = -10*v - 51. Let r(l) be the second derivative of 1/60*l**5 - 7*l + 1/90*l**6 - 5/36*l**4 + 0*l**2 + 1/6*l**v + 0. Factor r(u).
u*(u - 1)**2*(u + 3)/3
Let s be (-29)/(-4) + (-455)/(-1820). Solve -1/6*v**4 + s*v + 25/3 - 13/6*v**2 - 3/2*v**3 = 0.
-5, -1, 2
Factor -j**3 + 21 - 780*j**2 + 77 + 768*j**2 - 5*j - 16*j.
-(j - 2)*(j + 7)**2
Factor 2*d**2 - 7*d**3 - d**4 - 6*d**3 + 16*d**3 - 3*d - d**2.
-d*(d - 3)*(d - 1)*(d + 1)
Let j(d) = -13*d - 902*d**2 + 902*d**2 + 7*d**5 - 31*d**4. Let k(c) = -3*c**5 + 15*c**4 + 6*c. Let g(o) = -6*j(o) - 13*k(o). Suppose g(q) = 0. What is q?
-3, 0
Let z = -3312/7 - -474. Let w(p) be the first derivative of 0*p**2 - 2/35*p**5 + 3/7*p**4 - z*p**3 + 0*p - 3. Let w(i) = 0. Calculate i.
0, 3
Let s(r) = -r**5 - 10*r**3 - 8*r**2 + 3*r. Let m(b) = -683 - b + b**2 - b**4 + b**3 + 683. Let i(j) = 4*m(j) + s(j). Factor i(d).
-d*(d + 1)**4
Let s(o) = -7*o**2 + 4*o - 9. Let r(u) = 8*u**2 - 3*u + 9. Let b(p) = -6*r(p) - 7*s(p). What is a in b(a) = 0?
1, 9
Factor 105 - 7*u**2 - 156*u + 11*u**2 - 40 - 33 + 120.
4*(u - 38)*(u - 1)
Let y(b) be the first derivative of -b**6/10 - 19*b**5/120 + b**4/8 + b**3/12 + 7*b**2 + 26. Let n(k) be the second derivative of y(k). Factor n(z).
-(z + 1)*(3*z - 1)*(8*z + 1)/2
Let u(b) be the first derivative of b**3/15 - 17*b**2/10 + 16*b/5 + 603. Solve u(r) = 0.
1, 16
Let g(r) be the third derivative of -r**6/60 - 17*r**5/10 - 289*r**4/4 - 4913*r**3/3 - 73*r**2. Let g(a) = 0. Calculate a.
-17
Let f(s) be the first derivative of -s**5/15 - 3*s**4 + 25*s**3/3 - 19*s**2/3 + 548. Factor f(n).
-n*(n - 1)**2*(n + 38)/3
Let m be (1 - 0)*(5 - 15). Let q(u) = u**4 + 3*u**3 + 2. Let d(l) = 3*l**4 + 7*l**3 - l**2 + 5. Let z(p) = m*q(p) + 4*d(p). Let z(i) = 0. Calculate i.
-1, 0, 2
Let f(p) = -9*p**2 - 9*p + 1. Let v(g) = -g. Let k(c) = f(c) - 5*v(c). Let r(a) = a**2 + a. Let m(h) = -k(h) - 6*r(h). Factor m(q).
(q - 1)*(3*q + 1)
Let g(j) be the second derivative of -4/3*j**2 + 0*j**3 + 17/18*j**4 + 33*j + 0 - 3/5*j**5 + 1/9*j**6. Determine u, given that g(u) = 0.
-2/5, 1, 2
Let m(i) be the first derivative of -i**4/60 + i**3/30 + 52*i - 17. Let p(j) be the first derivative of m(j). Factor p(l).
-l*(l - 1)/5
Let n(s) be the second derivative of -3*s**5/20 + s**4/4 + s**3/2 - 3*s**2/2 + 4*s - 14. Factor n(h).
-3*(h - 1)**2*(h + 1)
Let b(n) be the second derivative of -n**6/60 - n**5/40 + n**4/4 + n**3/3 - 2*n**2 + 70*n. Factor b(m).
-(m - 2)*(m - 1)*(m + 2)**2/2
Let y(q) be the second derivative of 0 + 12*q + 1/18*q**3 + 1/18*q**4 + 0*q**2. Let y(g) = 0. What is g?
-1/2, 0
Let p(v) be the third derivative of 1/7*v**4 + 0*v + 1/420*v**6 - 5*v**2 - 8/21*v**3 - 1/35*v**5 + 0. Factor p(r).
2*(r - 2)**3/7
Let c(l) = 9*l**2 - 12*l + 11. Let m(z) = -z**2 + 2*z - 1. Let u(w) = 3*c(w) + 24*m(w). Factor u(y).
3*(y + 1)*(y + 3)
Let h be -1*(1 - 16/14). Let n(x) = 2*x**2 - 165*x + 84. Let g be n(82). Factor -2/7*c**4 - h*c**3 + 0 + 0*c**g - 1/7*c**5 + 0*c.
-c**3*(c + 1)**2/7
Let r be 32/(-24) + 128/36. Let -50/3*x**2 - 500/9*x - 1/9*x**4 - r*x**3 - 625/9 = 0. What is x?
-5
Let y = -271 - -285. Suppose y*l - 15 = 9*l. Factor -22/9*k - 10/9*k**4 - 4/9 - 34/9*k**l - 14/3*k**2.
-2*(k + 1)**3*(5*k + 2)/9
Let w(b) be the third derivative of -b**8/336 + b**7/105 + b**6/60 - b**5/15 - b**4/24 + b**3/3 + 590*b**2. Find t, given that w(t) = 0.
-1, 1, 2
Let g(x) be the first derivative of 2*x**5/5 + 39*x**4 + 960*x**3 - 3200*x**2 - 241. Let g(u) = 0. What is u?
-40, 0, 2
Let a = -25 + 25. Suppose 3*l = -5*g + 24, 3*l