2*b. Find n, given that -3*n**2 - 2 - 12*n**3 + 9*n**3 + b*n + 5 + 0*n**2 = 0.
-1, 1
Let u(q) be the first derivative of 1/30*q**5 + 0*q**3 - q**2 + 1 + 0*q + 1/12*q**4. Let s(n) be the second derivative of u(n). Factor s(i).
2*i*(i + 1)
Let n be (-112)/126 - (-130)/45. Let w(u) be the second derivative of 0 + 25*u**n + 2*u + 10/3*u**3 + 1/6*u**4. What is j in w(j) = 0?
-5
Suppose -3*p - 3 = -3*y + y, 0 = -2*y + 2*p + 2. Let h = 867 + -4334/5. Factor h*l**3 + 2/5 + y*l**2 - 3/5*l.
(l - 1)**2*(l + 2)/5
Solve 54/7 + 3/7*u**2 - 33/7*u = 0 for u.
2, 9
Let k(w) be the second derivative of -w**7/630 + w**6/90 - w**5/30 + 5*w**4/6 + 6*w. Let z(n) be the third derivative of k(n). Suppose z(u) = 0. What is u?
1
Suppose 19 = 2*j + 67. Let z be j/(-9) + -3 - (-26)/42. Factor z*s**2 - 1/7*s - 2/7 + 1/7*s**3.
(s - 1)*(s + 1)*(s + 2)/7
Factor 16*b**2 + 4*b + 0*b + 100*b**4 + 140*b**3 - 19*b**2 + 47*b**2.
4*b*(b + 1)*(5*b + 1)**2
Factor -19/2 - 1/2*b + 1/2*b**3 + 19/2*b**2.
(b - 1)*(b + 1)*(b + 19)/2
Let a(b) be the second derivative of 11*b**5/120 - 79*b**4/72 + 20*b**3/9 - b**2 - 82*b. Factor a(u).
(u - 6)*(u - 1)*(11*u - 2)/6
Determine t, given that -4733*t**5 - 12*t + t**2 + 16*t**3 + 7*t**2 + 4729*t**5 - 8*t**4 = 0.
-3, -1, 0, 1
Let x(p) be the first derivative of -5/12*p**4 - 5/6*p**3 + 1/6*p**5 + 10/3*p + 30 + 5/3*p**2. Let x(f) = 0. Calculate f.
-1, 2
Let y(g) be the second derivative of -g**7/98 - 12*g**6/35 - 33*g**5/35 + g**4/14 + 45*g**3/14 + 33*g**2/7 + 312*g. Suppose y(s) = 0. Calculate s.
-22, -1, 1
Let c(m) be the first derivative of -m**3/6 - 21*m**2/2 - 41*m/2 + 159. Solve c(t) = 0.
-41, -1
Suppose 24*l - 858 = -54*l. Let y(v) be the second derivative of 0 + 1/14*v**7 + 1/2*v**3 + 0*v**2 + 0*v**6 - 3/10*v**5 - l*v + 0*v**4. Factor y(b).
3*b*(b - 1)**2*(b + 1)**2
Suppose 0 = -3*l + 2*s - 2, -6*s + 2*s = 3*l - 4. Suppose -5*x + 10 = -l. Let -2 - 4*a**x + 2*a**2 - 6*a - 2*a**3 + 0*a - 4*a**2 = 0. What is a?
-1
Let y(q) = q**3 - q**2 + 1. Let d(i) = -112*i**5 - 88*i**4 + 152*i**3 + 81*i**2 - 51*i - 11. Let f(x) = -4*d(x) + 28*y(x). Determine m, given that f(m) = 0.
-1, -2/7, 3/4
Let c = 16 + -12. Suppose -c = -2*w + m, -w - 4 = -3*m + 4. What is d in -8*d**2 - 5*d**w - 3*d**4 - 12*d**3 + d**5 - 9*d + 7*d - 3*d**5 = 0?
-1, 0
Let n(o) = 48*o - 1918. Let f be n(40). Determine j so that -1/3*j**3 - 10/3 + f*j**2 - j = 0.
-1, 2, 5
Factor f - 1/2*f**2 + 0.
-f*(f - 2)/2
Let s(h) = -h**2 + 41*h + 770. Let n be s(-14). Factor 2/5*f**2 - 2/5*f + n - 2/5*f**4 + 2/5*f**3.
-2*f*(f - 1)**2*(f + 1)/5
Let k(b) be the first derivative of 1/6*b**3 - 1/60*b**5 - 1/3*b**2 + 8*b - 6 + 0*b**4. Let v(r) be the first derivative of k(r). Determine p so that v(p) = 0.
-2, 1
What is h in 3*h**3 - 19*h + 24 - 5*h + 30*h - 15*h**2 = 0?
-1, 2, 4
Let u be (-19)/(-42) + 38/(-133). Let g(j) be the second derivative of 0 - j - 2*j**2 - u*j**4 + j**3. Solve g(d) = 0 for d.
1, 2
Let l(c) be the second derivative of -8*c**2 + 0 + 5*c - 5/3*c**4 + 6*c**3. Factor l(y).
-4*(y - 1)*(5*y - 4)
Factor -68*x**3 + 12*x**4 + 192*x**2 + 32 - 112*x + 186*x**2 - 242*x**2.
4*(x - 2)**2*(x - 1)*(3*x - 2)
Let n(a) be the first derivative of 0*a + 0*a**2 + 3/35*a**5 - 21 + 0*a**3 + 0*a**4. Factor n(x).
3*x**4/7
Let 3072*c - 29*c**2 - 61*c**4 - 1763*c**2 + 9*c**4 - 20*c**4 + 4*c**5 - 2048 + 512*c**3 = 0. Calculate c.
2, 4
Let l(o) = 26*o**2 - 168*o + 3. Let i(t) = 600*t**2 - 3865*t + 70. Let c(h) = 3*i(h) - 70*l(h). Factor c(v).
-5*v*(4*v - 33)
Let r be (-420)/(-36)*(36/28 + 0 + -1). Let m be (-11)/(-3) - (-2)/(-6). Factor -1/3 + 1/3*p**5 + 5/3*p - 5/3*p**4 + r*p**3 - m*p**2.
(p - 1)**5/3
Let a be (-12)/30*-1 - 4/(-15). Suppose 3*p = 6*p. Factor a*l + p*l**2 - 2/3*l**3 + 0.
-2*l*(l - 1)*(l + 1)/3
Let m(u) be the first derivative of u**6/70 + 9*u**5/140 + 3*u**4/28 + u**3/14 + 33*u - 9. Let z(g) be the first derivative of m(g). Solve z(x) = 0 for x.
-1, 0
Suppose 3*c + 5*k = -430, -4*k - k - 10 = 0. Let y be (-16)/c - 2/(-7). Let -y*j**4 + 4/5*j**2 - 2/5 - 2/5*j**5 - 2/5*j + 4/5*j**3 = 0. Calculate j.
-1, 1
Let l = -8850 + 44256/5. Factor -l + 2/5*n**3 - 2*n**2 + 14/5*n.
2*(n - 3)*(n - 1)**2/5
Let t = -49 - -44. Let p be (-20)/50 - (1 - (-17)/t). Factor 6/11*q - 4/11 - 2/11*q**p.
-2*(q - 2)*(q - 1)/11
Suppose s = -2 + 8. Find m such that 4*m**3 + 8*m + 8 - s*m**3 - 2*m**2 + 4*m**3 - 4*m**3 = 0.
-2, -1, 2
Let w(h) be the third derivative of h**5/20 + 26*h**4 - 4*h**2 + 41. Solve w(i) = 0.
-208, 0
Let p(c) = c**3 + 1. Let q(o) be the third derivative of -o**8/168 - o**7/35 + o**6/12 + 7*o**3/3 - 12*o**2. Let v(k) = 28*p(k) - 2*q(k). Factor v(m).
4*m**3*(m + 1)*(m + 2)
Let y(k) be the third derivative of -k**6/40 - 3*k**5/20 + 5*k**4/4 + 101*k**2. Let y(c) = 0. Calculate c.
-5, 0, 2
Let r(w) = w**5 + 3*w**3 + w**2 - w + 1. Let n(i) = -7*i**5 + 4*i**4 + 17*i**3 - 156*i**2 + 6*i - 6. Let y(j) = n(j) + 6*r(j). Factor y(k).
-k**2*(k - 5)**2*(k + 6)
Let t(u) be the first derivative of 3*u**4/4 - 5*u**3 - 84*u**2 + 180*u + 1008. Factor t(g).
3*(g - 10)*(g - 1)*(g + 6)
Let x = -169314/7 + 24188. Determine n, given that 0 + 0*n**2 + 2/7*n - x*n**3 = 0.
-1, 0, 1
Let y be 164/90 - 1 - (-36)/(-162). Factor -y*g**2 - 12/5*g - 9/5.
-3*(g + 1)*(g + 3)/5
Let j(b) be the first derivative of 3*b**4/16 + b**3 - 9*b**2/2 - 144. Factor j(u).
3*u*(u - 2)*(u + 6)/4
Let v(m) = -32*m**2 - 190*m + 15. Let j be v(-6). Let -6/7*k - 2/7 + 2/7*k**2 + 6/7*k**j = 0. What is k?
-1, -1/3, 1
Let g be (-18)/(-45)*(4 - -1). Factor -11*o + o**g + 3*o**2 - 4*o + o**2.
5*o*(o - 3)
What is s in 49/4*s**2 + 0 + 99/8*s - 1/8*s**3 = 0?
-1, 0, 99
Let d(c) be the first derivative of 2*c**6/7 + 26*c**5/35 + 29*c**4/42 + 2*c**3/7 + c**2/21 + 343. Find u such that d(u) = 0.
-1, -1/2, -1/3, 0
Suppose t + 4 = 24*i - 20*i, -4 = -2*i + t. Let s(h) be the second derivative of -12*h + 1/2*h**4 + 0*h**2 + 1/2*h**3 + 3/20*h**5 + i. Factor s(w).
3*w*(w + 1)**2
Suppose -z + j - 5 = -1, 5*j - 20 = 0. Let k(b) be the second derivative of z + 0*b**3 + 1/12*b**4 - 1/20*b**5 - b + 0*b**2. Factor k(l).
-l**2*(l - 1)
Let p = 331/564 + 23/141. Factor 3/4 + 3/2*j + p*j**2.
3*(j + 1)**2/4
Suppose -2*y = -5 + 21. Let v be 33/(-22)*y/6. Solve 2*k - 5*k - 2*k + 3*k**3 + v*k = 0.
-1, 0, 1
Suppose -4*n + 0 = 5*u + 2, -4*n + 6 = u. Factor 18/7*h**n + 0 + 2/7*h**4 - 12/7*h**3 - 8/7*h.
2*h*(h - 4)*(h - 1)**2/7
Suppose -5*l + 5*c - 3 = 12, -5*c = -l - 15. Factor o**3 + 4*o**2 + 0*o**2 + o**3 + 2*o + l*o**3.
2*o*(o + 1)**2
Let o(c) = -2*c**5 + 6*c**3 - 4. Let r = 37 - 40. Let q(v) = 2*v**5 - v**4 - 5*v**3 + v**2 + 3. Let s(x) = r*o(x) - 4*q(x). Let s(g) = 0. What is g?
-1, 0, 1, 2
Let q(a) be the third derivative of 2*a**3 - 1/5*a**5 + 3*a**2 + 6 + 0*a + 1/6*a**4 - 1/30*a**6. Factor q(u).
-4*(u - 1)*(u + 1)*(u + 3)
Let s(b) = b**3 + 2*b**2 - 10*b - 3. Let z be s(-4). Factor -13*v + 18*v - 15*v - 5 - z*v**2.
-5*(v + 1)**2
Let c(j) be the second derivative of -5/4*j**2 - 25/24*j**3 - 5/12*j**4 - 1/16*j**5 - 29*j + 0. Factor c(q).
-5*(q + 1)**2*(q + 2)/4
Let l(b) be the first derivative of 7*b - 1/6*b**3 + 3/8*b**2 + 1/48*b**4 + 4. Let i(v) be the first derivative of l(v). Factor i(o).
(o - 3)*(o - 1)/4
Let o(m) be the first derivative of -61 + 0*m**2 - 4/3*m**3 + 1/2*m**4 + 0*m. Factor o(v).
2*v**2*(v - 2)
Let n(h) be the second derivative of -25*h + 3/4*h**3 + 81/8*h**2 + 0 + 1/48*h**4. Determine w so that n(w) = 0.
-9
Let s be (1 + (-6 - -1))/(-2). Factor 6*d**3 + 6 + 11*d + 10*d - 2*d**5 - d**5 + 24*d**s - 6*d**4.
-3*(d - 2)*(d + 1)**4
Let x(h) = -7*h**3 - h**2 + 27*h - 11. Let s(k) = -85*k**3 - 10*k**2 + 325*k - 130. Let m(d) = 2*s(d) - 25*x(d). Solve m(a) = 0.
-3, 1
Let d(u) = -3*u**3 - 3*u**2 + 3*u + 7. Let x(a) = -4. Let k(n) = -9. Let j(g) = -3*k(g) + 7*x(g). Let o(i) = -d(i) - 4*j(i). Suppose o(p) = 0. Calculate p.
-1, 1
Suppose -5*b + 11 = -2*l, 3*l - 21 = -5*b - 0*b. Let z(u) be the first derivative of -3/16*u**4 - 1/4*u**b + 4 + 3/4*u + 3/8*u**2. Solve z(h) = 0.
-1, 1
Let v(a) be the second derivative of 25/6*a**3 + 0 + 10*a**2 + 5/12*a**4 - a. Factor v(w).
5*(w + 1)*(w + 4)
Let m(z) = 2*z**5 - 18*z**4 - 19*z**3 + z**2 - 7*z. Let s(p) = p**5 - 18*p**4 - 18*p**3 + 2*p**2 - 6*p. Let a(w) = 6*m(w) - 7*s(w). Solve a(i) = 0.
-2, 0, 2/5
Let f(c) be the third derivative 