b**4 + 0 + 5/7*b**3 = 0.
-1, 0, 3
Let p(b) be the second derivative of 2*b**6/3 + 12*b**5/5 - b**4/3 - 8*b**3 - 8*b**2 - 42*b. Determine i, given that p(i) = 0.
-2, -1, -2/5, 1
Factor 102397*g**5 + 12*g**3 - 102401*g**5 - 8*g**4 - 15*g - g + 16*g**2.
-4*g*(g - 1)**2*(g + 2)**2
Let g(r) be the first derivative of -r**6/2 + 21*r**5/5 - 57*r**4/4 + 25*r**3 - 24*r**2 + 12*r - 328. Find j such that g(j) = 0.
1, 2
Let z be (-5)/((-37)/2 - -13). Factor z*s**2 + 8/11*s**3 + 4/11*s + 2/11*s**4 + 0.
2*s*(s + 1)**2*(s + 2)/11
Let r(s) be the third derivative of 0*s + 2/245*s**7 + 0*s**3 + 0 + 1/588*s**8 + 1/105*s**5 - 22*s**2 + 1/70*s**6 + 0*s**4. Factor r(z).
4*z**2*(z + 1)**3/7
Suppose 0 = -5*t - 4*n - 6, -8 + 0 = 2*n. Find j such that -8*j**3 + 0*j**4 - t*j**4 - 4*j**2 - 2*j**4 = 0.
-1, 0
Let d(a) = -5*a**4 + 30*a**3 + 5*a**2 + 30. Let y be (4/(-3))/((-3)/(-36)). Let u = y + 17. Let w(q) = q**3 + 1. Let l(m) = u*d(m) - 30*w(m). Factor l(j).
-5*j**2*(j - 1)*(j + 1)
What is n in -n**3 - 7*n**3 + 376*n**2 + 394*n**2 - 758*n**2 - 4*n**4 = 0?
-3, 0, 1
Let f(u) be the second derivative of u**5/80 + 2*u**4/3 + 32*u**3/3 + 61*u. Determine k, given that f(k) = 0.
-16, 0
Factor 3/4*h**2 - 51/2*h + 48.
3*(h - 32)*(h - 2)/4
Let s(f) = -f**2 - 14*f - 25. Let d be s(-12). Let z be d/(-6) - (-1)/(-6)*1. Determine p so that z*p + 0 + 1/3*p**4 + 0*p**2 - 1/3*p**3 = 0.
0, 1
Let u(q) = -2*q**4 + q**2 - q + 1. Let r(b) = 15*b**4 + 5*b**3 + 20*b**2 - 10*b - 50. Let d(x) = r(x) + 10*u(x). Factor d(f).
-5*(f - 2)**2*(f + 1)*(f + 2)
Let d = -229 - -233. Suppose 4*p = 12, -6*a + 5*a - d*p = -14. Find v such that 18/7*v**2 - 10/7*v - a*v**4 - 4/7 + 10/7*v**3 = 0.
-1, -2/7, 1
Let l(m) be the second derivative of -m**6/150 - m**5/100 + m**4/12 - m**3/10 + 77*m. Factor l(d).
-d*(d - 1)**2*(d + 3)/5
Let w(n) = -20*n**3 + 148*n**2 - 264*n + 32. Let v(a) = 13*a**3 - 99*a**2 + 176*a - 20. Let l(y) = -8*v(y) - 5*w(y). Find g, given that l(g) = 0.
0, 2, 11
Let g = 2 + 3. Suppose g*r = y + 13 + 3, -2*r + 2*y = -8. Factor -4/3*b**r + 1/3*b + 0 - b**2.
-b*(b + 1)*(4*b - 1)/3
Let i(x) be the first derivative of -2*x**3/3 + 8*x**2 + 66*x - 948. Suppose i(n) = 0. What is n?
-3, 11
Let x = -14 - -31. Suppose 32*r = 36*r - 12. Factor -25 + 192*c**2 + 30*c + 112*c**3 + 34*c - 39 + x*c**4 + r*c**4.
4*(c + 2)**3*(5*c - 2)
Let n be 4/(0 - -12)*0. Let c(l) be the first derivative of 1/15*l**5 + n*l**4 - 1/3*l**3 + 0*l - 6 - 1/3*l**2. Factor c(u).
u*(u - 2)*(u + 1)**2/3
Let u(b) = -16*b**5 + 2*b**4 + 16*b**3 - 42*b**2 + 20*b + 10. Let z(q) = 5*q**5 - q**4 - 5*q**3 + 13*q**2 - 6*q - 3. Let r(d) = 6*u(d) + 20*z(d). Factor r(o).
4*o**2*(o - 2)*(o - 1)*(o + 1)
Find y, given that -13078406/3 - 12868592/3*y - 1120/3*y**3 + 69564*y**2 + 2/3*y**4 = 0.
-1, 187
Let q(v) be the second derivative of 0*v**2 + 5/3*v**3 + 25/12*v**4 + 0 + v**5 + 1/6*v**6 + 16*v. Let q(y) = 0. What is y?
-2, -1, 0
Let j(y) = -156*y - 152. Let c be j(-1). Let g(s) be the third derivative of 0 + 0*s**3 + 1/8*s**c + 4*s**2 + 1/100*s**5 + 0*s. Factor g(m).
3*m*(m + 5)/5
Let w(l) be the third derivative of l**8/1680 + l**7/210 + l**6/60 + l**5/30 - 7*l**4/24 + 7*l**2. Let x(m) be the second derivative of w(m). Factor x(j).
4*(j + 1)**3
Let q = -47 - -49. Suppose 3*f = 3*g - g + 15, 10 = -5*g + q*f. Factor 0*x**2 + g*x + 10/11*x**4 + 4/11*x**3 - 14/11*x**5 + 0.
-2*x**3*(x - 1)*(7*x + 2)/11
Let i(c) = -6*c**2 + 258*c + 8. Let o(d) = 5*d**2 - 262*d - 6. Let s(a) = -3*i(a) - 4*o(a). Let s(h) = 0. Calculate h.
0, 137
Let r = -74 - -74. Let p(x) be the second derivative of x + 1/3*x**4 + r - 6*x**2 + 4/3*x**3. Solve p(h) = 0.
-3, 1
Let z(r) be the first derivative of -r**7/210 + r**6/40 - r**4/6 - 3*r**2/2 - 6. Let u(h) be the second derivative of z(h). Solve u(w) = 0 for w.
-1, 0, 2
Let u(j) = -35*j**2 + 57*j + 225. Let f(a) = -8*a**2 + 14*a + 56. Let p(z) = 9*f(z) - 2*u(z). Solve p(s) = 0 for s.
-3, 9
Let s = 48 + -48. Let i(a) be the third derivative of 1/210*a**5 - 1/28*a**4 + 0 + 2/21*a**3 + s*a - 6*a**2. Find p, given that i(p) = 0.
1, 2
Let y(s) be the second derivative of -s**6/180 - s**5/15 + s**4 + 16*s**3/3 + 31*s. Let x(f) be the second derivative of y(f). Solve x(h) = 0.
-6, 2
Factor -8/13*p**2 - 8/13*p**3 + 0 + 0*p - 2/13*p**4.
-2*p**2*(p + 2)**2/13
Let 28 + 50*h**2 - 71*h**2 - 102*h + 35*h**2 = 0. Calculate h.
2/7, 7
Let f(m) be the third derivative of -m**6/40 - 221*m**5/20 - 12099*m**4/8 + 12321*m**3/2 + m**2 + 82. Factor f(y).
-3*(y - 1)*(y + 111)**2
Let w(z) = z**3 + 52*z**2 - 45*z + 429. Let j be w(-53). Let m = 2/37 + 29/148. Factor 0*y - 1/4*y**4 - 1/4*y**j + 0 + m*y**2 + 1/4*y**3.
-y**2*(y - 1)*(y + 1)**2/4
Let o be (19 - 10) + 3*1. Let a(k) = -k + 17. Let g be a(o). Let -2*j**2 + 6*j**3 - g*j**2 + 5*j**2 - 7*j**2 - j**4 = 0. Calculate j.
0, 3
Let n(h) be the third derivative of -h**8/20160 + h**7/2520 - h**5/12 + 16*h**2. Let q(b) be the third derivative of n(b). Suppose q(i) = 0. Calculate i.
0, 2
Let j(p) be the third derivative of -1/896*p**8 + 0 + 0*p**4 + 0*p**5 + 0*p + 0*p**3 + 1/80*p**6 + 0*p**7 + 52*p**2. Factor j(s).
-3*s**3*(s - 2)*(s + 2)/8
Let t(v) be the second derivative of v**7/147 + v**6/105 + 5*v - 10. Factor t(i).
2*i**4*(i + 1)/7
Let 4*s**4 - 48 - 6*s**3 + 17*s**4 - 156*s**2 + 23*s**4 - 6*s**3 - 160*s + 12*s**5 = 0. What is s?
-3, -1, -2/3, 2
Suppose 12 + 13 + 220*s**2 + 972*s - 1127*s = 0. What is s?
1/4, 5/11
Suppose 2*i + 13 = 3*v, 11*i - 5 = v + 15*i. Let o(d) be the second derivative of d**2 + 25/16*d**5 - d + 25/8*d**4 + 5/2*d**v + 0. Factor o(n).
(5*n + 2)**3/4
Let y = -8/83 + 356/249. Let s(r) be the first derivative of 5/6*r**4 - y*r + 3*r**2 - 8/3*r**3 - 8. Factor s(j).
2*(j - 1)**2*(5*j - 2)/3
Factor 5*t**5 - 8*t**2 - 7*t**2 - 4*t**5 + 2*t**3 + 7*t**2 + 5*t**4.
t**2*(t - 1)*(t + 2)*(t + 4)
Let p(i) be the first derivative of -2*i**3/27 + 22*i**2/9 + 46*i/9 + 130. Factor p(u).
-2*(u - 23)*(u + 1)/9
Let i(w) = -w**2 + 3. Let r be i(0). Solve 8*a**2 - 5*a**4 - 8*a**r - 2*a**5 + 3*a**5 + 3*a**4 + a**5 = 0.
-2, 0, 1, 2
Let j(h) be the first derivative of -h**4/10 - 32*h**3/5 - 768*h**2/5 - 8192*h/5 + 46. Find u such that j(u) = 0.
-16
Let a(v) be the third derivative of 2*v**7/105 + v**6/15 - v**5/5 - 2*v**4/3 + 8*v**3/3 + 10*v**2 - 1. Find h, given that a(h) = 0.
-2, 1
Factor -12*g - 2*g**2 - 6*g + 8 - 8*g - 68.
-2*(g + 3)*(g + 10)
Let u(h) be the first derivative of -h**6/15 + 2*h**5/5 - 5*h**4/6 + 2*h**3/3 + 37*h + 7. Let n(i) be the first derivative of u(i). Factor n(k).
-2*k*(k - 2)*(k - 1)**2
Let i(r) be the first derivative of -r**6/2 + 18*r**5/5 - 6*r**4 - 513. Solve i(j) = 0.
0, 2, 4
Factor 40/7*o - 72/7 - 2/7*o**2.
-2*(o - 18)*(o - 2)/7
Let i = -2304 + 2304. Factor -4/5*g**5 + i*g + 0*g**3 + 4/5*g**4 + 0 + 0*g**2.
-4*g**4*(g - 1)/5
Let m(s) = s**3 + 26*s**2 + 2*s + 54. Let t be (-184)/7 + ((-16)/(-7) - 2). Let k be m(t). Factor 3/4*c**4 - 3/2*c - 5/2*c**3 + 1/4 + 3*c**k.
(c - 1)**3*(3*c - 1)/4
Let k(j) be the first derivative of 1/6*j**4 - 2/3*j**3 + 2*j - 1/3*j**2 + 43. What is a in k(a) = 0?
-1, 1, 3
Let n(g) be the first derivative of 5*g**3/6 + 35*g**2/2 - 75*g/2 - 21. Factor n(d).
5*(d - 1)*(d + 15)/2
What is k in 8545*k**2 + 3*k**4 - 8537*k**2 + 12*k**3 + k**4 + 0*k**4 = 0?
-2, -1, 0
Let l = 10 + -10. Suppose -d = -l - 3. Factor -d - 1 + 3*m**2 - 3*m - m**2 + m.
2*(m - 2)*(m + 1)
Let p(j) = 2*j - 10. Let u be p(5). Suppose -2*i + i + 66 = u. Determine m, given that -i - 3*m - 3*m**2 + 66 = 0.
-1, 0
Let k = 9484 - 123290/13. Let k*i**3 - 2/13*i + 2/13 - 2/13*i**2 = 0. Calculate i.
-1, 1
Let s(p) = p - 8. Let x = -10 + 18. Let n be s(x). Factor n + 2/3*c - 2/3*c**2.
-2*c*(c - 1)/3
Let n = 132 + -253. Let y = 123 + n. Let -3/8*l + 0 - 3/8*l**y = 0. What is l?
-1, 0
Let k(l) be the first derivative of -8/33*l**3 + 13/11*l**2 - 6/11*l + 58. Solve k(d) = 0 for d.
1/4, 3
Let d(z) = -25*z**2 - 472*z - 80. Let v(m) = -2*m**2 + m - 1. Let h(j) = d(j) + 4*v(j). Factor h(c).
-3*(c + 14)*(11*c + 2)
Let r = -3853/7 + 551. Factor 4/7*a + 0*a**2 + 0 - r*a**3.
-4*a*(a - 1)*(a + 1)/7
Let r = 2155 - 517199/240. Let w(y) be the third derivative of 0*y**3 + 0*y - 4*y**2 + r*y**5 + 0 + 1/48*y**4. What is t in w(t) = 0?
-2, 0
Solve 2/11*a**5 - 58/11*a**4 - 392/11*a**2 + 0*a + 448/11*a**3 + 0 = 0.