).
-2*n*(n + 1)**2*(3*n - 2)
Let j(r) = r. Let o(l) = -l**2 - 7*l - 6. Let v(d) = 6*j(d) + 3*o(d). Determine a so that v(a) = 0.
-3, -2
Suppose -5*h**4 - 309490 + 31*h**3 + 369*h**3 - 12000*h**2 - 301471 - 189039 + 160000*h = 0. What is h?
20
Suppose -3*p = -3 - 0, 3*p - 3 = -5*o. Let w(n) be the third derivative of -1/20*n**5 + o - 3*n**2 + 0*n - 1/80*n**6 + 0*n**4 + 0*n**3. Factor w(t).
-3*t**2*(t + 2)/2
Let o(m) be the first derivative of -50*m**4 + 320*m**3/3 - 69*m**2 + 18*m + 36. Factor o(p).
-2*(p - 1)*(10*p - 3)**2
Let x(r) be the third derivative of 11/70*r**5 - 4/21*r**4 + 0 + 32*r**2 - 4/7*r**3 + 0*r + 3/28*r**6. Find b such that x(b) = 0.
-2/3, 3/5
Let a(l) be the first derivative of 5*l**6/6 + 9*l**5 - 15*l**4/4 - 125*l**3/3 + 45*l**2 - 18. Factor a(r).
5*r*(r - 1)**2*(r + 2)*(r + 9)
Let f(p) be the third derivative of -p**6/24 - p**5/12 + 10*p**4/3 + 40*p**3/3 - 2*p**2 - 7*p. Suppose f(s) = 0. What is s?
-4, -1, 4
Let b(g) be the second derivative of -g**5/70 + g**4/7 + 25*g**3/21 + 18*g**2/7 + 29*g. Let b(a) = 0. What is a?
-2, -1, 9
Let g(p) be the first derivative of -p**4/36 + p**3/18 + 5*p + 2. Let o(t) be the first derivative of g(t). Suppose o(f) = 0. Calculate f.
0, 1
Let l(w) = -9*w + 9. Let f be l(-9). Suppose 5*i = 10 + f. Factor 8 - i*j**2 + j - j + 2 - 35*j.
-5*(j + 2)*(4*j - 1)
Let g(k) = -k**3 + 12*k**2 + 26*k + 30. Let r be g(14). Let z(b) be the second derivative of -7/5*b**5 + 8*b + 2*b**r + 5*b**4 + 0 - 6*b**3. Factor z(l).
-4*(l - 1)**2*(7*l - 1)
Let 2/7*a**2 + 722/7 - 76/7*a = 0. What is a?
19
Let k(m) = -3*m**3 + 13*m**2 - m - 9. Let b(y) = 21*y**3 - 90*y**2 + 6*y + 63. Let i = 81 - 108. Let g(f) = i*k(f) - 4*b(f). Factor g(r).
-3*(r - 3)*(r - 1)*(r + 1)
Let a be 0*((-16)/(-30) + 20/(-15) + 1). Factor a + 9/2*m + 3/2*m**2.
3*m*(m + 3)/2
Let c = -8459/20 - -423. Let v(i) be the third derivative of -1/2*i**3 + 4*i**2 + 0 + 1/4*i**4 - c*i**5 + 0*i. Factor v(k).
-3*(k - 1)**2
Let k = 562 - 562. Let x(b) be the second derivative of 0*b**2 - 3*b + 0 + k*b**4 + 0*b**3 - 1/10*b**5. Find l such that x(l) = 0.
0
Suppose 3*f = 3*n - 24, n + 4*f - 4 = 14. Suppose 1177 - 1177 - 5*i**2 - n*i = 0. What is i?
-2, 0
Let b(s) be the third derivative of s**5/240 - 107*s**4/48 + 11449*s**3/24 + 3*s**2 + 55. Find y, given that b(y) = 0.
107
Factor 2/17*q**2 + 44/17*q + 242/17.
2*(q + 11)**2/17
Suppose 4*y = -2*w + 6, -5*w - 2*y + 45 = -7*y. Suppose 5*o - w = 3. Factor 0*b**o - 2 + 11 + b**2 + 6*b.
(b + 3)**2
Let d(z) be the first derivative of -3*z**4/7 + 8*z**3/21 + 50*z**2/7 - 96*z/7 - 457. Let d(w) = 0. What is w?
-3, 1, 8/3
Let n be (-2 - (-20)/8)*0. Factor n*w**2 - 3*w**2 - 40*w - 3 + 15*w + 19*w.
-3*(w + 1)**2
Let l(k) be the second derivative of -1/114*k**4 + 11*k + 0 + 1/19*k**2 + 0*k**3. Determine z, given that l(z) = 0.
-1, 1
Suppose -4*g = -l - 19, -3*g - 2*l = -0*l - 17. Suppose 1 = -5*b + 3*p + 29, g*p + 10 = b. Factor -2*q**2 + 3*q**4 - 2*q**3 + 36*q**b - 34*q**5 - q**4.
2*q**2*(q - 1)*(q + 1)**2
Let r(i) be the first derivative of -63*i**4 + 517*i**3 - 114*i**2 - 36*i - 50. Determine v, given that r(v) = 0.
-2/21, 1/4, 6
Let t = -247 - -250. Let d(v) be the second derivative of -4/5*v**5 - 1/5*v**6 - 10*v + 0*v**2 - 2/3*v**t - 7/6*v**4 + 0. Factor d(f).
-2*f*(f + 1)**2*(3*f + 2)
Factor r**3 + 4/3*r**4 - 4/3*r**2 + 1/3*r**5 + 0 - 4/3*r.
r*(r - 1)*(r + 1)*(r + 2)**2/3
Suppose -90 = -5*b - 30. Suppose -2*c - c = -b. Factor -12*p**2 + p**4 - 8*p**2 + 4 + c*p + 17*p**2 - 2*p**3.
(p - 2)**2*(p + 1)**2
Let a = -152344/3 + 50786. Solve 0 - b**5 - 11/3*b**3 + a*b - 23/3*b**2 + 23/3*b**4 = 0.
-1, 0, 2/3, 1, 7
Let u(j) be the first derivative of -3*j**5/5 - 33*j**4 - 672*j**3 - 5880*j**2 - 16464*j - 92. Factor u(z).
-3*(z + 2)*(z + 14)**3
Find j such that -5*j**5 - 68/5*j**2 + 46/5*j**3 + 3/5*j + 14/5 + 6*j**4 = 0.
-7/5, -2/5, 1
Let g(s) be the third derivative of -s**7/140 + 13*s**6/80 + 29*s**5/40 + 15*s**4/16 - s**2 + 58. Factor g(v).
-3*v*(v - 15)*(v + 1)**2/2
Let j = 35 - 24. Factor -j*s - 14 + 10 - 6*s**2 + s.
-2*(s + 1)*(3*s + 2)
Let c(v) = -64*v**2 - 72*v. Let f(k) = 3*k**2 + 2*k. Let n(h) = 2*c(h) + 44*f(h). Factor n(o).
4*o*(o - 14)
Let s(y) = y**2 - 6*y + 3. Let b be s(5). Let x be -1*-6*b/(-4). Determine v, given that 10*v + 4*v**3 - 8*v**2 - 4 + v**3 - x*v**3 = 0.
1, 2
Let i = -25109 + 25109. Determine y, given that i - 2/5*y**2 + 0*y + 2/5*y**3 = 0.
0, 1
Let a(g) be the third derivative of 5/3*g**3 + 1/7*g**7 + 0 - 11/24*g**6 - 12*g**2 + 0*g - 2/3*g**5 + 55/24*g**4. Let a(l) = 0. What is l?
-1, -1/6, 1, 2
Let q be (8/(14 - -210))/(7/28). Determine w, given that 0*w + 1/7*w**4 + 0 - 1/7*w**2 + 1/7*w**3 - q*w**5 = 0.
-1, 0, 1
Let y be (-77)/(-5544)*(-1 + 2). Let z(x) be the third derivative of 1/180*x**5 + 0*x**3 - y*x**4 - 1/630*x**7 + 12*x**2 + 0*x + 0 + 1/360*x**6. Factor z(j).
-j*(j - 1)**2*(j + 1)/3
Solve 0 + 22/15*o**2 + 14/3*o**3 - 4/5*o = 0 for o.
-3/5, 0, 2/7
Let v = 27 + -36. Let d be 11/22 + (v/(-14))/(-3). Let -d*w**2 - 2/7 - 4/7*w = 0. Calculate w.
-1
Let a(q) be the first derivative of -q**4/24 + 11*q**3/18 - 19*q**2/12 + 3*q/2 + 1. Factor a(i).
-(i - 9)*(i - 1)**2/6
Let z(v) be the first derivative of v**5/24 - v**4/12 - v**3/12 + 3*v**2 - 1. Let q(o) be the second derivative of z(o). Factor q(a).
(a - 1)*(5*a + 1)/2
Let v(n) = -42*n**2 + 101*n - 8. Let c(o) = -21*o**2 + 50*o - 4. Let k(i) = 13*c(i) - 6*v(i). Suppose k(u) = 0. Calculate u.
2/21, 2
Suppose -50*p + 90*p - 47*p + 35 = 0. Factor 4/3 - 2*g + 10/3*g**p - 12*g**4 - 16/3*g**2 + 44/3*g**3.
2*(g - 1)**4*(5*g + 2)/3
Let i(b) = b**2 - 7*b - 3. Let x be i(4). Let u be -8*(x/12)/5. Factor 8/7*g**3 - 2/7*g + 0 + 6/7*g**u.
2*g*(g + 1)*(4*g - 1)/7
Let j(i) be the first derivative of -4/3*i**3 + 0*i + 2/5*i**5 - 1 - 1/2*i**4 + 0*i**2. Let j(t) = 0. What is t?
-1, 0, 2
Let j(g) be the second derivative of -g**5/100 - g**4/4 - 5*g**3/2 - 25*g**2/2 + 78*g. Determine s so that j(s) = 0.
-5
Let 8*h + 1/5*h**4 + 21/5*h**2 - 20 - 2*h**3 = 0. Calculate h.
-2, 2, 5
Factor -10/3*a**3 + 0 - 8*a**2 + 0*a - 1/3*a**4.
-a**2*(a + 4)*(a + 6)/3
Let w be 3/5*(-1)/((-36)/192). Solve 2/5*i**3 - 8/5*i + 2/5*i**5 - 4*i**2 + w + 8/5*i**4 = 0 for i.
-2, 1
Let i(t) = t**3 + t**2 + t. Let p(f) = 24*f**3 + 39*f**2 - 12*f - 18. Let s(m) = 9*i(m) + p(m). Factor s(u).
3*(u + 1)**2*(11*u - 6)
Let k(j) be the second derivative of -1/4*j**4 + 1/30*j**5 + 2/3*j**3 + 0 + 6*j - 5/2*j**2. Let i(n) be the first derivative of k(n). Factor i(t).
2*(t - 2)*(t - 1)
Let k = 11290 - 22571/2. Factor k*i**2 + 0 - 2*i - 3*i**3 + 1/2*i**4.
i*(i - 4)*(i - 1)**2/2
Let n(w) = 4*w**2 + w - 5. Let c(y) = -2 - 5 - 4 - 4 + 11*y**2 + 4*y. Let o(r) = 3*c(r) - 8*n(r). Find j, given that o(j) = 0.
-5, 1
Let d = 281/24 + -83/8. Determine y so that 2/3*y**4 + 2/3 + 0*y**3 + 0*y - d*y**2 = 0.
-1, 1
Let y(d) = -6*d**5 + 6*d**4 + 15*d**3 + 3*d**2 - 5*d - 5. Let w(i) = -5*i**5 + 5*i**4 + 14*i**3 + 4*i**2 - 4*i - 4. Let o(p) = 5*w(p) - 4*y(p). Factor o(z).
-z**2*(z - 4)*(z + 1)*(z + 2)
Let h(b) = 3*b - 8. Let j be h(10). Let k = j - 22. Suppose k*s**5 + 3*s**5 - 39*s**3 + 3*s + 33*s**3 = 0. Calculate s.
-1, 0, 1
Let q(v) = -10*v**3 + 35*v**2 - 60*v + 35. Let k(j) = j**3 - j**2 + 1. Let w(u) = -5*k(u) - q(u). Solve w(a) = 0 for a.
2
Let q = 59 + -95. Let p(w) = -2*w**4 - 18*w**3 - 42*w**2 - 20*w + 15. Let d(s) = -s**4 - s**3 - s**2 - s + 1. Let t(g) = q*d(g) + 4*p(g). Solve t(n) = 0.
-1, 2/7, 3
Let k(j) = -6*j**3 + j**2 - j - 1. Let d(p) = 2*p**3 + 4*p**3 - 5*p**3. Let z(w) = 21*d(w) + 3*k(w). Find r such that z(r) = 0.
-1, 1
Let q(p) = -3*p**2 - 492*p - 453. Let u(v) = 5*v - 1. Let o(a) = q(a) + 6*u(a). Let o(k) = 0. Calculate k.
-153, -1
Let g be -7*(-33)/(-693)*6/(-5). Factor 0 - 4/5*x - 6/5*x**3 - g*x**4 + 2/5*x**5 + 2*x**2.
2*x*(x - 1)**3*(x + 2)/5
Let w be (-8241)/(-737) + (-2)/11. Let b(z) be the third derivative of 0 + 7/40*z**5 + 0*z - w*z**2 - 1/8*z**4 + 0*z**3. Factor b(f).
3*f*(7*f - 2)/2
Let n(m) be the third derivative of 0*m**3 - 2/105*m**7 + 0*m - 1/12*m**4 + 0*m**6 + 1/15*m**5 + 0 + 1/168*m**8 - 7*m**2. Factor n(l).
2*l*(l - 1)**3*(l + 1)
Let t(x) be the third derivative of -x**7/10080 - x**6/2880 + x**5/240 - x**4/24 - 2*x**2. Let r(f) be the second derivative of t(f). Factor r(n).
-(n - 1)*(