**3 - 4*y**3 + 3*y + y**2 - 9*y**3 = 0. What is y?
-1, 0, 1
Let n(g) be the third derivative of -g**8/504 - 11*g**7/315 + g**6/90 + 11*g**5/45 - g**4/36 - 11*g**3/9 - 896*g**2. Suppose n(w) = 0. What is w?
-11, -1, 1
Let c(w) be the first derivative of 5*w**4/16 + 29*w**3/6 - 89*w**2/8 + 13*w/2 + 8. Factor c(g).
(g - 1)*(g + 13)*(5*g - 2)/4
Let c be (182/195 + -1)*-5. Factor c*u + 0 - 1/3*u**2.
-u*(u - 1)/3
Suppose 15*i**4 - 4*i**3 - 7*i**4 + 4*i + 8*i**2 - 16*i**4 = 0. What is i?
-1, -1/2, 0, 1
Let z(c) be the first derivative of 4*c**5/5 - 11*c**4 + 56*c**3 - 136*c**2 + 160*c + 32. Factor z(t).
4*(t - 5)*(t - 2)**3
Let -35/2*i**2 - 25/2*i**3 - 15/2*i - 5/2*i**4 + 0 = 0. Calculate i.
-3, -1, 0
Suppose -5*s = -c - 6*s + 3, s + 3 = 0. Let l(y) = -y**3 + y**2 + 1. Let v(d) = 5*d**3 - 9*d**2 - 2. Let b(a) = c*l(a) + v(a). Factor b(j).
-(j - 1)*(j + 2)**2
Let g(b) be the third derivative of b**8/10080 - b**7/840 + b**5/6 + 2*b**2. Let x(f) be the third derivative of g(f). Factor x(p).
2*p*(p - 3)
Suppose -4*k - g + 10 = 0, 0 = k - 5*g - 2 + 10. Suppose -7*s = -k*s - 20. Solve 4*y**4 - 24*y - 8 - 6*y**2 + 24*y**3 - 1 + 11*y**s = 0 for y.
-1, -3/5, 1
Let z = 28/117 + 5/468. Let g(d) be the second derivative of 0 - 1/10*d**5 - 1/8*d**2 + d - z*d**3 - 1/4*d**4. Factor g(a).
-(2*a + 1)**3/4
Let n(w) be the first derivative of w**4/22 - 58*w**3/33 + 50. Factor n(k).
2*k**2*(k - 29)/11
Let w(k) be the second derivative of 1/3*k**3 + 0 - 3/2*k**2 - 26*k + 1/12*k**4. Factor w(a).
(a - 1)*(a + 3)
Let q(x) be the first derivative of -1/5*x**2 + 1/10*x**4 + 2/15*x**3 - 2/5*x + 2. Find w such that q(w) = 0.
-1, 1
Let v(i) = -14*i**3 + 79*i**2 + 3*i - 68. Let n(p) = 5*p**3 - 27*p**2 - p + 23. Let l(m) = 11*n(m) + 4*v(m). Determine w, given that l(w) = 0.
-1, 1, 19
Factor 9/2*h + 5/3*h**2 + 3 + 1/6*h**3.
(h + 1)*(h + 3)*(h + 6)/6
Let a(n) = -7*n**4 + 43*n**3 - 366*n**2 + 905*n - 610. Let x(i) = 6*i**4 - 44*i**3 + 366*i**2 - 908*i + 608. Let w(v) = 4*a(v) + 5*x(v). Factor w(t).
2*(t - 10)**2*(t - 3)*(t - 1)
Suppose -5*h + 60 = 4*t, -5*t + 2*t + 5*h = -45. Factor 21*o**4 - 240*o**2 + 112*o + 100*o**3 + t*o**4 - 16 + 89*o**4.
(o + 2)*(5*o - 2)**3
Let m be (-1)/(-2 - -1) - -3. Let 100*p**2 - 20*p**3 + 4*p**5 - 4*p**4 - 21*p**4 + 5*p**m + 160*p + 64 = 0. What is p?
-1, 4
Let t(m) be the first derivative of -m**6/36 + m**5/30 + m**4/8 - 5*m**3/18 + m**2/6 - 109. Factor t(a).
-a*(a - 1)**3*(a + 2)/6
Let r(i) be the first derivative of i**4/4 + 38*i**3 + 1566*i**2 - 6728*i + 534. Factor r(z).
(z - 2)*(z + 58)**2
Suppose 0 = 1082*k - 1298*k + 1080. Factor 5/6*r**3 + 0 + 2/3*r**4 + 1/3*r**2 + 1/6*r**k + 0*r.
r**2*(r + 1)**2*(r + 2)/6
Suppose -4*a + 3*a + 10 = 3*b, b - 6 = -3*a. Suppose -11 = -2*l + 3*n, -8*l = -13*l + 2*n + 22. Determine z, given that -b*z**2 + l*z - 16 + 14 + z**2 = 0.
1
Let m(w) = w**3 - 2*w**2 - 2*w. Let y(u) = 3*u**3 + 56*u**2 - 65*u. Let n(c) = 6*m(c) - 3*y(c). Factor n(a).
-3*a*(a - 1)*(a + 61)
Let y(f) be the first derivative of 0*f**2 + 0*f + 20/3*f**3 - 3*f**5 - 9 + 0*f**4 + 5/6*f**6. Let y(s) = 0. What is s?
-1, 0, 2
Let n(a) = 128*a - 1149. Let d be n(9). Factor d*x + 3/2*x**4 + 0 + 0*x**3 - 9/2*x**2.
3*x*(x - 1)**2*(x + 2)/2
Let u(m) be the second derivative of m**7/7560 + m**6/216 + 5*m**5/72 - m**4/3 + 13*m. Let y(a) be the third derivative of u(a). Factor y(w).
(w + 5)**2/3
Suppose -16 = -4*w - m, 5*w + 125 = 3*m + 111. Solve 0 + 2/11*u**w + 6/11*u = 0 for u.
-3, 0
Let o(g) be the third derivative of g**6/420 + g**5/21 + 4*g**4/21 - 4*g**2 + 8. Factor o(r).
2*r*(r + 2)*(r + 8)/7
Let i = -55 - -92. Let g be ((-16)/(-3))/(-2)*-3. Factor i*w**2 + 6*w**2 + g + 27*w**2 + 52*w - 49*w**3.
-(w - 2)*(7*w + 2)**2
Let g be ((-21)/(-14))/(-7 - (-438)/60). Factor 0 + 4/3*p - 2/3*p**g + 2/3*p**4 + 2*p**3 - 10/3*p**2.
-2*p*(p - 1)**3*(p + 2)/3
Let f(q) be the second derivative of -4/3*q**3 - 2/75*q**6 - 6/25*q**5 - 4/5*q**4 + 6*q - 6/5*q**2 + 2. Factor f(l).
-4*(l + 1)**3*(l + 3)/5
Let c = 799/1810 - 15/362. Let 0 + 0*b**3 + c*b**5 + 0*b**2 + 0*b + 2/5*b**4 = 0. What is b?
-1, 0
Suppose -4/3 + 2/3*m + 2/3*m**2 = 0. What is m?
-2, 1
Let n(o) = 2*o**3 - 30*o**2 + 186*o - 214. Let b(y) = -5*y**3 + 59*y**2 - 371*y + 429. Let r(k) = -6*b(k) - 13*n(k). Solve r(h) = 0 for h.
-13, 2
Let g(l) = -5*l**2 - 20*l + 2. Let a be g(-4). Suppose a = -25*y + 2. Factor -2/5*k**4 + 2/5*k**2 - 2/5*k**5 + y + 0*k + 2/5*k**3.
-2*k**2*(k - 1)*(k + 1)**2/5
Suppose 12 = -28*j + 96. Let i(h) be the second derivative of 1/5*h**5 + 0*h**2 + 9*h + 1/3*h**4 + 0 - 4/3*h**j. Factor i(o).
4*o*(o - 1)*(o + 2)
Let s be 168/48*(-6)/21*6 + 6. Factor -2/11*j**3 + s*j + 0 - 2/11*j**2.
-2*j**2*(j + 1)/11
Let s(j) = 7*j + 12 - 2*j + 0*j - 3*j. Let f be s(-5). Find r such that -3*r**4 + 2*r + 3*r**2 + 8*r**3 + 7*r**f + 2*r + 5*r**4 = 0.
-2, -1, 0
Let f be 3/4 - (-45)/20. Suppose -5*x + f = -27. Let -4*u**2 - 3*u**3 - 2*u + 0*u + 4*u**4 + x*u - u**3 = 0. Calculate u.
-1, 0, 1
Factor 56*b**2 + 6 + 1132*b - 4*b**5 + 3 - 4*b**4 + 3 - 1088*b + 24*b**3.
-4*(b - 3)*(b + 1)**4
Solve 4*d - 27/7 - 1/7*d**2 = 0.
1, 27
Let g = 79 - 81. Let a(r) = r**2. Let t(h) = -2*h**2 + 4*h. Let w(s) = g*a(s) + t(s). Factor w(o).
-4*o*(o - 1)
Let k(a) be the third derivative of -1/20*a**6 - 1/20*a**5 + 0*a**4 - 31*a**2 + 0*a - 1/70*a**7 + 0 + 0*a**3. What is y in k(y) = 0?
-1, 0
Let a(g) = -g**2 - 25*g - 16. Let o(c) = -c - 8. Let s be o(-2). Let r(n) = -2*n**2 - 73*n - 47. Let x(t) = s*r(t) + 21*a(t). Factor x(u).
-3*(u + 9)*(3*u + 2)
Solve -9*l + 27/2 + 3/2*l**2 = 0 for l.
3
Let a(m) be the third derivative of 5*m**6/6 - 16*m**5/3 + 23*m**4/2 - 12*m**3 + 63*m**2. Factor a(k).
4*(k - 2)*(5*k - 3)**2
Let l = -49637/30 - -1655. Let h(w) be the third derivative of 0 + l*w**6 + 4/5*w**5 + 0*w + 1/84*w**8 + 0*w**3 + 4/35*w**7 + 2/3*w**4 - 7*w**2. Factor h(y).
4*y*(y + 1)**2*(y + 2)**2
Let f(q) = -48*q - 189. Let m be f(-4). Let x(z) be the third derivative of 0*z**6 + 0 + 0*z**4 + 0*z**m + 5*z**2 + 0*z - 1/120*z**5 + 1/420*z**7. Factor x(k).
k**2*(k - 1)*(k + 1)/2
Let h(k) be the second derivative of -k**4/30 + 3*k**3/5 - 4*k**2 + 110*k. Let h(x) = 0. Calculate x.
4, 5
Let o(j) = -3*j - 3. Suppose h = 48 - 51. Let a be o(h). Find z such that -28/3*z**2 + 34/9*z - 4/9 + a*z**3 = 0.
2/9, 1/3, 1
Suppose -13*y = -6*y. Let o(g) be the first derivative of 3/4*g**4 + 0*g**3 + 8 + y*g - 3/2*g**2. Let o(l) = 0. What is l?
-1, 0, 1
Suppose 0 = 3*r + 24 - 135. Let z = -18 + r. Factor 8*j + 27 - 2*j**2 + 3*j**2 - z + j**2.
2*(j + 2)**2
Let z be 2/(-4) + 54/(-4). Let f = z + 14. Solve -p - 3*p - p**3 + 16*p**2 + f*p - 21*p**4 = 0 for p.
-1, 0, 2/7, 2/3
Let n(s) = 2*s - 11. Let r be 26/3 + (-6)/9. Let l be n(r). Determine k so that k**3 + 3*k**5 - 5*k**l - 3*k**5 + 4*k**5 = 0.
-1, 0, 1
Suppose -c = -0*c + 4*r - 8, 2*r = -4*c + 18. Suppose -p + 0*p = 5*b - 4, -p - 4*b = -c. Factor 0 - q**2 + p + q - 4.
-q*(q - 1)
Let q(x) = -21*x**3 - 621*x**2 + 462*x + 180. Let b(k) = -2*k**2 + 2*k. Let o(p) = 3*b(p) - q(p). Determine g so that o(g) = 0.
-30, -2/7, 1
Find t such that -9*t - 5/2*t**4 + 1/2*t**5 - 31/2*t**3 - 43/2*t**2 + 0 = 0.
-2, -1, 0, 9
Let v(x) = x**2 + 8*x + 14. Let m be v(-10). Factor 10*r**2 + 15*r - 20*r**3 - 34 - m + 5*r**5 + 58.
5*(r - 1)**3*(r + 1)*(r + 2)
Suppose -h = -6*h - 4*m + 11, 0 = -2*h + 4*m - 18. Let c(o) = o**2 - 1. Let a(l) = 5*l**2 - 12*l + 7. Let w(s) = h*a(s) + c(s). Factor w(r).
-4*(r - 2)*(r - 1)
Let z(i) = -7*i**2 + 26*i + 15. Let o(u) = u**2 - u + 1. Let j(s) = -6*o(s) - z(s). Let d(t) = 4*t + 4. Let m(l) = 22*d(l) + 4*j(l). Factor m(x).
4*(x + 1)**2
Find o, given that o**3 + 2 - 1/2*o**4 + 3/2*o**2 - 4*o = 0.
-2, 1, 2
Let p(s) be the second derivative of 0 + 3/2*s**2 - 1/8*s**4 - 25*s + 1/4*s**3. What is j in p(j) = 0?
-1, 2
Let c(u) be the third derivative of u**8/1512 - u**7/945 - u**6/540 + u**5/270 - 11*u**2 + 4*u. Let c(r) = 0. Calculate r.
-1, 0, 1
Let p(h) = 3*h**4 + 15*h**3 + 84*h**2 + 56*h. Let r(y) = -4*y**4 - 30*y**3 - 167*y**2 - 113*y. Let v(j) = -7*p(j) - 4*r(j). Factor v(x).
-5*x*(x - 6)*(x + 1)*(x + 2)
Let z(d) = 6*d**4 - 9*d**3 - 16*d**2 + 4*d. Let t(i) = i**4 - i**3 - 2*i**2 - 1. Let m(l) = -15*t(l) + 3*z(l). Let m(k) = 0. What is k?
-1, 1, 5
Factor 407 - 118*a - 34*a**3 + 424 - 2*a**4 + 1