given that -4/5*t - 32/5*t**2 + 6 + 4/5*t**3 + 2/5*t**4 = 0.
-5, -1, 1, 3
Let j = -37798/15 - -2520. Factor -j*m**3 + 0 + 2/5*m**2 + 0*m.
-2*m**2*(m - 3)/15
Suppose -3*i - 5*t = -4*t - 8, 5*i - 16 = -3*t. Factor -4*v - i*v + 8*v - 5*v**2 + 3*v.
-5*v*(v - 1)
Let d = -4233/4 + 1059. Let 0 - 3/2*k + d*k**4 + 9/4*k**3 - 3/4*k**2 - 3/4*k**5 = 0. What is k?
-1, 0, 1, 2
Suppose 0 = -2*y + 13 + 39. Suppose 49*s**3 - 21*s**3 + 2*s**2 - y*s**3 = 0. What is s?
-1, 0
Let i(m) be the second derivative of 2*m**6/15 - 8*m**5/5 - m**4 + 52*m**3/3 - 32*m**2 + 28*m + 2. Suppose i(t) = 0. What is t?
-2, 1, 8
Let d(g) = 3*g**2 - 3*g + 2. Let a be 4/(-1*2/(-4)). Let q(s) = 4*s - 2*s**2 - 4 - a*s**2 - 2 + 5*s. Let h(c) = -7*d(c) - 2*q(c). What is t in h(t) = 0?
1, 2
Let a(g) = 29*g**4 - 50*g**3 + 24*g**2 - 3*g. Let i(n) = -15*n**4 + 25*n**3 - 12*n**2 + 2*n. Let r(o) = 6*a(o) + 11*i(o). Factor r(p).
p*(p - 2)*(p - 1)*(9*p + 2)
Let l(g) be the third derivative of g**8/16800 + g**7/6300 - g**6/1800 - g**5/300 - g**4/3 + 9*g**2. Let c(q) be the second derivative of l(q). Solve c(r) = 0.
-1, 1
Let t(m) be the second derivative of 11*m + 0 + 1/21*m**3 - 1/70*m**5 - 1/42*m**4 + 1/7*m**2. Factor t(w).
-2*(w - 1)*(w + 1)**2/7
Let o = -828 + 9102/11. Let q = o - -52/55. Suppose -9/5*i**3 + i**2 + q*i - i**4 + 0 + 7/5*i**5 = 0. Calculate i.
-1, -2/7, 0, 1
Solve -17*v**2 - 56*v + 56 + 52*v + 50*v**2 - 25*v**2 - 112*v = 0 for v.
1/2, 14
Suppose -2*g + 4 = -8. Suppose 3*y + g = 6*y. Find i such that 17*i - 3*i**y - 17*i - 6*i**3 = 0.
-1/2, 0
Let n(i) = -i**3 - 7*i**2 - i - 3. Let f be n(-7). Factor -5*v**f - 19*v**3 - 10*v**4 + 25*v**3.
-3*v**3*(5*v - 2)
Let t = 385/549 + -36/61. Let y(x) be the third derivative of -1/90*x**5 - t*x**3 - 5*x**2 + 1/18*x**4 + 0 + 0*x. Factor y(i).
-2*(i - 1)**2/3
Let y(w) = -4*w**2 - w. Let f(c) be the first derivative of -c**3 + c - 1. Let v(t) = -3*f(t) + 2*y(t). Factor v(k).
(k - 3)*(k + 1)
Let r(p) be the first derivative of -29*p**4/18 + 38*p**3/9 - 3*p**2 - 2*p/9 + 7. Factor r(n).
-2*(n - 1)**2*(29*n + 1)/9
Let g be 1 + 21/(-23) - 34290/(-8763). Suppose 4/9*i**3 - 1/9*i**5 + 1/9*i**g - 4/9*i**2 + 0*i + 0 = 0. What is i?
-2, 0, 1, 2
Let s(o) be the second derivative of -o**5/160 - o**4/6 - 13*o**3/12 - 3*o**2 - 2*o + 60. Factor s(g).
-(g + 2)**2*(g + 12)/8
Let a(p) be the second derivative of p**4/36 - 31*p**3/9 + 961*p**2/6 - 36*p - 2. Factor a(f).
(f - 31)**2/3
Let m be 8/14 - 21/(-49). Let r = m - -1/2. Factor -3/2*x**2 + 0 - x + 1/2*x**5 + 1/2*x**3 + r*x**4.
x*(x - 1)*(x + 1)**2*(x + 2)/2
Let r(v) be the first derivative of -4*v**3/3 - 18*v**2 + 234. Factor r(i).
-4*i*(i + 9)
Factor -107/6*p**4 + 1655/3*p**3 + 1/6*p**5 - 4047*p**2 - 21609/2 + 22491/2*p.
(p - 49)**2*(p - 3)**3/6
Let y(c) be the third derivative of c**5/15 - 4*c**4/3 - 40*c**3/3 - 3*c**2 - 2*c. Factor y(s).
4*(s - 10)*(s + 2)
Let x(g) = -g**2 - 10*g - 10. Let n be x(-8). Let q be (-16)/14 - (n - 3 - 5). Find d, given that -2/7*d**2 - q - 8/7*d = 0.
-3, -1
Let h(j) be the first derivative of 2*j**3/27 - 31*j**2/9 + 20*j/3 + 223. Solve h(f) = 0.
1, 30
Let f(y) = -y**3 + y**2 + 6*y + 4. Let s be f(-2). Factor -7*u**4 - 20*u + 0*u**2 + 12*u**s + 20*u**3 + 10*u**2 - 15.
5*(u - 1)*(u + 1)**2*(u + 3)
Let w = -1922/5 - -2189/5. Let u = 3491/65 - w. Factor 2/13*j**2 - u - 2/13*j.
2*(j - 2)*(j + 1)/13
Suppose 805 = -10*o + 825. Let p(g) = -g. Let z(f) = 2*f**4 + 4*f**3 - 2*f - 2. Let c(n) = n**3. Let l be c(1). Let u(a) = l*z(a) + o*p(a). Factor u(b).
2*(b - 1)*(b + 1)**3
Let i(y) be the first derivative of -y**4/54 + y**3/9 - 2*y**2/9 + 17*y - 23. Let h(p) be the first derivative of i(p). Factor h(u).
-2*(u - 2)*(u - 1)/9
Find w such that 3/5*w**3 - 66/5*w - 48/5 - 3*w**2 = 0.
-2, -1, 8
Solve -3 - 9*n + 4*n**2 - 7 - 4*n**2 + n**2 = 0.
-1, 10
Suppose 0 = -48*b + 53*b. Let l(r) be the first derivative of 5 + b*r + 1/7*r**2 + 2/21*r**3. Determine h, given that l(h) = 0.
-1, 0
Let i = 6 + -7. Let f be (2/35)/(i/(-7)). Suppose 0 + 3/5*a**2 + 1/5*a**3 + f*a = 0. Calculate a.
-2, -1, 0
Let o(z) = -17*z**2 - 5*z + 6. Let a(j) = -46*j**2 - 16*j + 18. Let y(x) = -4*a(x) + 11*o(x). Let y(t) = 0. What is t?
1, 2
Let u(p) be the first derivative of p**4/20 + 16*p**3/15 + 3*p**2/2 - 405. Factor u(b).
b*(b + 1)*(b + 15)/5
Let b(n) be the second derivative of 0 - 10/3*n**6 - 65/6*n**3 + 5*n**2 + 15/2*n**4 + 6*n + 13/4*n**5. Determine f, given that b(f) = 0.
-1, 1/4, 2/5, 1
Factor -18/11*u**2 + 48/11 + 2/11*u**3 + 28/11*u.
2*(u - 6)*(u - 4)*(u + 1)/11
Let w = -563 - -567. Let d(o) be the second derivative of 0 + 0*o**3 - 7*o + 1/3*o**w - 2*o**2. Factor d(z).
4*(z - 1)*(z + 1)
Let z(p) be the first derivative of -p**4/12 - 7*p**3/9 - 5*p**2/2 - 3*p + 854. Factor z(m).
-(m + 1)*(m + 3)**2/3
Solve 8*x**3 - 14*x + 8*x**2 + 12*x - 4*x**4 - 4*x**2 - 6*x**5 + 0*x = 0 for x.
-1, 0, 1/3, 1
Suppose k + k - g - 39 = 0, 4*g = -3*k + 31. Factor 9*i**2 + 14*i - 9*i - k*i - 4 + 7*i**3.
(i - 1)*(i + 2)*(7*i + 2)
Suppose -9*v**2 - 285*v + 8*v**2 + 32*v**2 + 289*v = 0. Calculate v.
-4/31, 0
Let w(x) be the first derivative of -x**8/4200 + x**6/450 - x**4/60 - 4*x**3/3 - 1. Let d(p) be the third derivative of w(p). Determine k, given that d(k) = 0.
-1, 1
Suppose -3/2*n**4 + 287/6*n**2 + 193/6*n + 115/6*n**3 + 5 = 0. What is n?
-1, -2/9, 15
Let n(v) = v**3 - 2*v**2 + v. Let g(c) = -12*c**3 + 4*c**2 - 44*c - 16. Let i(x) = -4*g(x) - 44*n(x). Factor i(z).
4*(z + 1)**2*(z + 16)
Let n = 32 - 30. Find l, given that -24*l**3 - 27 - 39*l**2 - 27*l**n - 93*l - 3*l**4 + 21*l = 0.
-3, -1
Let d(x) be the first derivative of -x**6/12 + 4*x**4 - 64*x**2 - 844. Determine m so that d(m) = 0.
-4, 0, 4
Let b = 36 + 3. Let x be ((-104)/b)/(5/(-3)). Solve 0 + 6/5*l**4 + x*l**5 + 2/5*l - 2*l**3 - 6/5*l**2 = 0.
-1, 0, 1/4, 1
Suppose 0 = 13*z + 10*z - 46. Suppose z*v = 4, -4*b + 17 = b + v. Factor 0 - 100/3*f - 40/3*f**2 - 4/3*f**b.
-4*f*(f + 5)**2/3
Let a = -233 - -368. Let t = -236 + 371. Find j, given that 2*j**2 + a + 2*j**4 - j**3 - 3*j**3 - t = 0.
0, 1
Let b(w) be the third derivative of w**5/90 + w**4/6 - 16*w**3/9 + 23*w**2 + 3. Let b(c) = 0. Calculate c.
-8, 2
Let o(y) = y**2 + 2*y + 2. Let l be o(-2). Suppose -5*g + 19 = -l*b, -4*g = -g - 5*b - 19. Find k such that k**4 + k - k**g - k**2 + 0 + 0 + 0*k**2 = 0.
-1, 0, 1
Suppose 0 = l - 8*l. Suppose -5*a - 3 + 18 = l. Suppose 3*f + 4 + f - 4*f**a - 4*f**2 + 0*f = 0. What is f?
-1, 1
Let u = 694 - 4850/7. Let l(k) be the first derivative of -2/21*k**3 - 5 - u*k - 4/7*k**2. Factor l(v).
-2*(v + 2)**2/7
Determine b, given that -3/5 - 1/5*b**2 - 4/5*b = 0.
-3, -1
Let m(d) be the second derivative of 0*d**2 + d**4 + 0 - 14*d - 2/15*d**6 + 4/3*d**3 + 0*d**5. Factor m(g).
-4*g*(g - 2)*(g + 1)**2
Solve 13*h + 12 + 1/2*h**3 + 9/2*h**2 = 0.
-4, -3, -2
Let m(w) be the first derivative of 4*w**6/75 - 7*w**5/50 + w**4/15 + w**3/15 - 3*w + 1. Let b(r) be the first derivative of m(r). Factor b(n).
2*n*(n - 1)**2*(4*n + 1)/5
Let v = 141 - 140. Let f be (-186)/(-45) + (v - (-5)/(-1)). Solve -2/5*p**2 + 0 - f*p**3 - 4/15*p = 0.
-2, -1, 0
Determine k, given that 9*k + 16*k**4 + 16*k - 52*k**2 - 42*k - 30*k**3 + 11*k = 0.
-1, -1/8, 0, 3
Factor -54*m**4 + 157*m**3 + 93*m + 185*m**3 + 19 - 27*m**5 - 17 - 12 - 155*m**2 - 141*m**2.
-(m - 2)*(m + 5)*(3*m - 1)**3
Let p(u) be the third derivative of -u**9/3780 - u**8/560 + u**6/45 - u**4/6 - 25*u**2. Let v(d) be the second derivative of p(d). Factor v(h).
-4*h*(h - 1)*(h + 2)**2
Let r(b) be the third derivative of b**7/18900 - b**6/2700 + b**5/900 - b**4/12 + 6*b**2. Let l(g) be the second derivative of r(g). Find m such that l(m) = 0.
1
Suppose 0*t - 5 = -t. Let k(u) = -10*u**2 - 24*u - 14. Let z(n) = 9*n**2 + 24*n + 15. Let x(p) = t*z(p) + 6*k(p). What is i in x(i) = 0?
-1, -3/5
Let a(f) be the first derivative of -f**4/12 + f**3/3 - f**2/2 + f/3 - 80. Let a(o) = 0. Calculate o.
1
Suppose 0 = -32*h + 49 + 15. Find z such that -75/4*z**h - 3 - 15*z = 0.
-2/5
Solve 422 - 74 - 41150*c + 3*c**2 + 41051*c = 0 for c.
4, 29
Let f be 0/(-2 - 18) + (1 - 1). Factor f + 0*j + 34/11*j**4 - 72/11*j**5 - 4/11*j**3 + 0*j**2.
-2*j**3*(4*j - 1)*(9*j - 2)/11
Let z(d) = d**3 - 7*d**2 + 11*d - 3. Let l be z(5). Let r be (2 + l)/(-4) + 5/3. Find w, given that 2/9*w**3 + r -