**2 - 20/39*n**3 - 2/13*n. What is b in k(b) = 0?
-1
Let f(z) = z**2 - 2*z. Let b be f(2). Factor -1/2*v**2 + 1/2*v**4 + b - 1/2*v**5 + 1/2*v**3 + 0*v.
-v**2*(v - 1)**2*(v + 1)/2
Let l(u) be the first derivative of u**3/3 - u**2 + u + 4. Find s, given that l(s) = 0.
1
Let l(q) be the third derivative of 5*q**8/336 - q**6/24 - 14*q**2. Factor l(h).
5*h**3*(h - 1)*(h + 1)
Factor -4/3*b**2 - 2/3*b**3 + 0 + 2*b.
-2*b*(b - 1)*(b + 3)/3
Let b(k) be the second derivative of 6*k**7/35 + 2*k**6/5 - 2*k**5/25 - 14*k**4/15 - 14*k**3/15 - 2*k**2/5 - 3*k. Determine n so that b(n) = 0.
-1, -1/3, 1
Let r(l) be the second derivative of -l**6/30 + l**4/12 + 38*l. Factor r(n).
-n**2*(n - 1)*(n + 1)
Let x be (-2)/4*(-7 - -1). Suppose -3 = -x*c + 3. Determine u so that -2/3*u**3 + 0 + 2/3*u**4 + 2/3*u - 2/3*u**c = 0.
-1, 0, 1
Let b(w) be the second derivative of 2*w**7/7 - 16*w**6/15 + 7*w**5/5 - 2*w**4/3 - 5*w. Factor b(p).
4*p**2*(p - 1)**2*(3*p - 2)
Let o(s) be the first derivative of -7*s**6/240 + s**5/10 - s**4/16 - s**3/6 + 2*s**2 - 2. Let b(a) be the second derivative of o(a). Factor b(h).
-(h - 1)**2*(7*h + 2)/2
Let t be (2 - 4)/(2/4). Let y be (-3)/t + (-3)/(-28). Determine g so that -2/7 + y*g + 2/7*g**3 - 6/7*g**2 = 0.
1
Let a(y) = -2*y**2 - 6*y - 4. Let i(k) = 2*k**2 + 5*k + 3. Let p(u) = -5*a(u) - 6*i(u). Factor p(h).
-2*(h - 1)*(h + 1)
Let h(i) = -2*i**3 + 3 - 4*i**3 + i**3 + 0*i**2 + 4*i**2. Let u(o) = 24*o**3 - 20*o**2 - 14. Let s(c) = 14*h(c) + 3*u(c). Factor s(x).
2*x**2*(x - 2)
Let h = 125/93 + -1/93. Let 1/3*a**2 - 1/3 - 4/3*a + h*a**3 = 0. Calculate a.
-1, -1/4, 1
Find l, given that -2/17*l**4 + 0*l + 8/17*l**3 + 0 - 6/17*l**2 = 0.
0, 1, 3
Let z = 44 + -42. Factor 2/3*w + 0 + 4/3*w**z + 2/3*w**3.
2*w*(w + 1)**2/3
Let g(l) be the first derivative of 5*l**3/3 - 5*l + 12. Factor g(t).
5*(t - 1)*(t + 1)
Let w(d) be the third derivative of -d**5/690 + d**4/276 + 2*d**3/69 + 17*d**2. Factor w(s).
-2*(s - 2)*(s + 1)/23
Let y(s) be the second derivative of s**4/42 + 4*s**3/21 + 3*s**2/7 - 54*s. Determine k, given that y(k) = 0.
-3, -1
Let d(x) = 9*x - 5. Let k be d(1). Determine v, given that -4/7*v**3 + 4/7*v**2 - 6/7*v**k + 2/7 - 2/7*v**5 + 6/7*v = 0.
-1, 1
Let o(u) be the first derivative of 1/3*u**3 + u + 1/9*u**4 + 1/3*u**2 - 2. Let s(f) be the first derivative of o(f). Determine z so that s(z) = 0.
-1, -1/2
Let j(t) be the second derivative of t**5/90 + 5*t**4/54 + 8*t**3/27 + 4*t**2/9 + 7*t + 1. Factor j(u).
2*(u + 1)*(u + 2)**2/9
Let h(q) be the first derivative of -q**6/12 - 2*q**5/5 - q**4/2 + q**3/3 + 5*q**2/4 + q + 7. Factor h(c).
-(c - 1)*(c + 1)**3*(c + 2)/2
Let r(o) be the third derivative of 0 - 3/40*o**6 - 3/20*o**5 - 1/8*o**4 + 0*o**3 + o**2 - 1/70*o**7 + 0*o. Factor r(p).
-3*p*(p + 1)**3
Let z be 142/40 - 3 - 4/16. Let l(o) be the second derivative of -z*o**2 + 2*o - 1/20*o**4 + 0 + 1/5*o**3. Determine i so that l(i) = 0.
1
Let y = -13 + 16. Suppose -15 + 3*a**2 + y*a + 15 = 0. Calculate a.
-1, 0
Let w be (-2)/(-7)*1*7. Let f(r) = -3*r - 1. Let q be f(-1). Find y, given that 4*y**2 - 2*y**q + 0*y + w*y = 0.
-1, 0
Let i(a) be the third derivative of 0 + 7/40*a**6 + 3/70*a**7 - 5*a**2 + 1/6*a**4 + 4/15*a**5 + 0*a**3 + 0*a. Factor i(y).
y*(y + 1)*(3*y + 2)**2
Solve 83*z + 57*z - 16*z**3 + 52*z**2 - 87 - 109 + 20*z**3 = 0.
-7, 1
Factor -2/3 + 22/9*i - 2/3*i**3 - 10/9*i**2.
-2*(i - 1)*(i + 3)*(3*i - 1)/9
Let x(o) be the first derivative of -2*o**5/75 - 4*o**4/15 - 16*o**3/15 - 32*o**2/15 - 32*o/15 + 1. Find j such that x(j) = 0.
-2
Let f(m) = -9*m**3 + 3*m**2 - 7*m + 13. Let i(b) = 5*b**3 - b**2 + 3*b - 7. Let j(p) = 4*f(p) + 7*i(p). Factor j(y).
-(y - 3)*(y - 1)**2
Let w = 23 - 29. Let j = w + 37/6. What is o in 0 - j*o**2 - 1/6*o = 0?
-1, 0
Let u(x) = -x**2 + x. Let l(r) = 10*r**2 - 10*r - 2. Let c(o) = 2*l(o) + 18*u(o). Find w, given that c(w) = 0.
-1, 2
Let t(i) be the first derivative of -2*i**5/35 + i**4/14 + 2*i**3/21 - i**2/7 - 9. Let t(k) = 0. Calculate k.
-1, 0, 1
Let h(y) = y**2 - 1. Suppose 2*w + 3 = -t, -2*w = 2*t - 0*w + 4. Let o(p) = 8*p**2 - 16*p + 12. Let b(r) = t*o(r) + 4*h(r). Solve b(f) = 0.
2
Let b(i) be the first derivative of 3 - 1/15*i**6 - 4/9*i**2 - 1/3*i**5 - 37/54*i**4 - 20/27*i**3 - i. Let v(q) be the first derivative of b(q). Factor v(t).
-2*(t + 1)**2*(3*t + 2)**2/9
Let u be -2 + (14/3 - (-7 - -5)). Find q, given that -2/3 - u*q - 10*q**2 - 26/3*q**3 - 8/3*q**4 = 0.
-1, -1/4
Let j(i) be the third derivative of -i**5/30 + 4*i**3/3 + 23*i**2. Factor j(p).
-2*(p - 2)*(p + 2)
Let m(o) be the second derivative of -o**7/630 + o**6/1080 + o**5/90 - o**4/72 - o**3/3 - o. Let i(f) be the second derivative of m(f). Factor i(q).
-(q - 1)*(q + 1)*(4*q - 1)/3
Let l = -9 - -15. Let d(q) be the third derivative of 0*q**3 + 0 - 2*q**2 - 1/240*q**l + 0*q**4 + 0*q - 1/120*q**5. Factor d(x).
-x**2*(x + 1)/2
Let o(t) be the first derivative of t**7/21 + t**6/15 + 3*t - 3. Let i(q) be the first derivative of o(q). Suppose i(a) = 0. What is a?
-1, 0
Let a(y) be the first derivative of -y**4/4 + 4*y**3/3 - 5*y**2/2 + 2*y - 9. What is p in a(p) = 0?
1, 2
Suppose 4*c + d = 1, 4*c = -2*d + 5 - 3. Suppose -3/2*j + c - 3/2*j**2 = 0. What is j?
-1, 0
Let f(n) be the second derivative of n**7/210 - n**6/150 - n**5/100 + n**4/60 - 23*n. Factor f(b).
b**2*(b - 1)**2*(b + 1)/5
Let -2*j**2 + 0*j**3 - 5*j**3 + 2*j**3 + 5*j**3 = 0. What is j?
0, 1
Let x be 390/(-52)*2/(-3). Let m(s) be the second derivative of 2*s + 0*s**2 + 0*s**3 + 3/40*s**x - 1/24*s**4 + 0 - 1/30*s**6. Factor m(p).
-p**2*(p - 1)*(2*p - 1)/2
Let r = -50 + 12. Let u = r + 116/3. Factor -2/3*b**2 - 2/3*b**5 + u*b**3 + 0 + 2/3*b**4 + 0*b.
-2*b**2*(b - 1)**2*(b + 1)/3
Let o(r) = -r**3 - 13*r**2 - 3*r + 13. Let s(x) = 2*x**3 + 38*x**2 + 9*x - 38. Let n(a) = 11*o(a) + 4*s(a). Factor n(q).
-3*(q - 3)*(q - 1)*(q + 1)
Suppose 4*l - 92 = 5*b, 7*l + 3*b = 4*l + 96. Let v be ((-72)/(-84))/(2/l). Factor 3/2 + 24*f**2 + v*f.
3*(4*f + 1)**2/2
Let o(g) be the first derivative of -2/7*g - 2 - 16/21*g**3 - 8/7*g**4 + g**2. Factor o(b).
-2*(b + 1)*(4*b - 1)**2/7
Let n(v) be the first derivative of 2*v**7/525 - v**6/60 + 2*v**5/75 - v**4/60 + v**2 + 2. Let f(t) be the second derivative of n(t). Factor f(b).
2*b*(b - 1)**2*(2*b - 1)/5
Let l(a) be the third derivative of -a**6/120 - 2*a**5/15 - 2*a**4/3 + 3*a**2. Factor l(t).
-t*(t + 4)**2
Let k be 540/28 - 4/14. Let n be k/5 - 3/(-15). Factor 0*v**5 + v**n - v**5 + 0*v**4.
-v**4*(v - 1)
Let f(h) be the first derivative of -h**7/210 + h**5/60 + h**2 + 5. Let d(v) be the second derivative of f(v). Factor d(s).
-s**2*(s - 1)*(s + 1)
Solve 968*c**2 - 42592/3*c + 234256/3 - 88/3*c**3 + 1/3*c**4 = 0.
22
Let z(v) be the first derivative of 1/12*v**3 + 0*v + 0*v**5 + 2 + 1/32*v**4 - v**2 - 1/480*v**6. Let l(c) be the second derivative of z(c). Factor l(b).
-(b - 2)*(b + 1)**2/4
Let c(s) be the first derivative of s**3/5 + 7*s**2/5 + 8*s/5 + 11. Factor c(d).
(d + 4)*(3*d + 2)/5
Let z(r) be the third derivative of -r**7/840 + r**6/32 - 5*r**5/16 + 125*r**4/96 - 32*r**2. Factor z(w).
-w*(w - 5)**3/4
Let d(h) be the first derivative of h**5 + 5*h**4/4 - 5*h**3/3 - 5*h**2/2 + 59. Factor d(a).
5*a*(a - 1)*(a + 1)**2
Let p = 369/17 + -110981/5185. Let m = 6/61 + p. Suppose -4/5 + 2/5*l**2 - m*l = 0. Calculate l.
-1, 2
Suppose 3*g + 0*p = -3*p + 33, 0 = -3*g - 4*p + 33. Factor -2*i**2 + 4 + 19*i**2 - g*i**2 - 10*i**2.
-4*(i - 1)*(i + 1)
Let u(v) = -v**2 - 8. Let m be u(0). Let n = m - -8. Find r, given that -r**2 + n*r - 1 - 2*r + 1 = 0.
-2, 0
Let s = 16 - 9. Let g be 4/s*455/234. Let 2/9 - 8/9*b - 4/9*b**3 + g*b**2 = 0. Calculate b.
1/2, 1
Suppose 60*c**2 + 236 - 2*c**3 - 226*c + 1764 - 374*c = 0. What is c?
10
Let n = -11 + 6. Let x(m) = -m**2 - 6*m**2 - 3*m + 5 + 7*m + 6*m**2. Let a(h) = -h - 1. Let z(b) = n*a(b) - x(b). Determine u so that z(u) = 0.
-1, 0
Suppose 3*d = 5*t + 6, -9 = 3*t + 2*t - 2*d. Let g be (-9)/6*(t - -1). Solve 0 - 1/3*z + z**2 - z**g + 1/3*z**4 = 0.
0, 1
Let n(u) = 3*u + 2. Let t be n(2). Factor -5*r - 6*r**2 + r + t - 14*r**4 + 24*r**3 - 8.
-2*r*(r - 1)**2*(7*r + 2)
Suppose -11 = -5*p - 1. Let -6*x**4 + 4*x**4 + p*x**2 + 4*x - 2*x - 2*x**3 + 0*x = 0. Calculate x.
-1, 0, 1
Let i(u) be the second derivative of -25*u**5/4 - 75*u**4