*b**5 + 0 - 1/25*b**7 + 0*b + 0*b**4 + 3*b**2 + 7/120*b**8 + 0*b**3. Find k such that v(k) = 0.
-2/7, 0, 1
Let j = 31 - 27. Suppose 4*m = -4, -j*a - m + 9 = -2*m. Find y, given that 1/3*y**4 - y**a + 0 + 0*y**3 + 2/3*y = 0.
-2, 0, 1
Let j be 1/6 - (-33)/18. Solve -m**3 - 4*m**j - 2*m - 8*m + 8*m - m**3 = 0.
-1, 0
Let j(a) = -8*a**5 + 16*a**4 + 42*a**3 + 22*a**2 - 14*a + 18. Let f(c) = c**5 + c**4 + c - 1. Let b(d) = 36*f(d) + 2*j(d). Suppose b(p) = 0. What is p?
-1, -2/5, 0
Let i(k) = 3*k**4 + 6*k**3 + 4*k**2 + 2*k + 2. Let y(b) = -4*b**4 - 7*b**3 - 4*b**2 - 3*b - 3. Let n(p) = -3*i(p) - 2*y(p). Factor n(f).
-f**2*(f + 2)**2
Determine a, given that 57*a**2 - 20 + 5*a**3 + 54*a**2 - 96*a**2 = 0.
-2, 1
Let k = 61 - 55. Let j(c) be the first derivative of -1/6*c**k + 0*c**4 + 0*c**2 + 0*c + 0*c**5 + 0*c**3 - 2. What is b in j(b) = 0?
0
Let z = 14 - 6. Suppose -3*y = 3*b + y - z, 0 = b - 2*y + 4. Let -1/2*s**2 + b + 0*s = 0. What is s?
0
Let r(a) be the second derivative of a**7/1120 - 13*a**6/1440 + a**5/30 - a**4/24 - a**3/6 + 3*a. Let p(s) be the second derivative of r(s). Factor p(l).
(l - 2)**2*(3*l - 1)/4
Let c(n) = 5*n**2 - 6*n + 3. Let r(m) = -m**2. Let z(w) = -c(w) - 2*r(w). Solve z(q) = 0.
1
Factor 0*z - 8/5*z**2 + 0 + 6/5*z**3.
2*z**2*(3*z - 4)/5
Let n(s) be the first derivative of -2*s**3/39 - 7*s**2/13 - 12*s/13 + 2. Determine o, given that n(o) = 0.
-6, -1
Suppose -28*u + 145 = 5. Factor 4/3*r**2 - 8/3*r**3 - 1/3*r**u + 0*r + 5/3*r**4 + 0.
-r**2*(r - 2)**2*(r - 1)/3
Suppose 2*k + 4 = -p + 6, -6 = -3*p - 4*k. Factor 2/7*w**3 - 2/7*w**p + 2/7 - 2/7*w.
2*(w - 1)**2*(w + 1)/7
Factor 3*n**4 + 17*n + 48*n**2 + 0*n + n**4 + 24*n**3 + 15*n.
4*n*(n + 2)**3
Let x(f) be the second derivative of f**6/300 + f**5/150 - 2*f**2 + f. Let n(t) be the first derivative of x(t). Factor n(z).
2*z**2*(z + 1)/5
Let l = 59 + -54. Let d(m) be the first derivative of 0*m + 0*m**2 + 1/3*m**3 + 0*m**4 - 3 - 1/5*m**l. Factor d(w).
-w**2*(w - 1)*(w + 1)
Suppose -1 = -2*f + 5. Let q(o) = 7*o**3 - 9*o**2 + 4*o + 16. Let v(h) = 6*h**3 - 9*h**2 + 3*h + 15. Let p(a) = f*q(a) - 4*v(a). Factor p(u).
-3*(u - 2)**2*(u + 1)
Let q(t) be the first derivative of -35*t**3/3 - 5*t**2/2 + 5. Solve q(d) = 0 for d.
-1/7, 0
Let g(o) be the second derivative of -10/3*o**3 + 4*o**2 - 1/5*o**5 + 0 - 4*o + 4/3*o**4. Factor g(m).
-4*(m - 2)*(m - 1)**2
Let s(v) be the third derivative of v**2 + 0 + 0*v + 1/1680*v**8 + 0*v**6 + 1/150*v**5 - 1/525*v**7 + 0*v**3 - 1/120*v**4. Determine w, given that s(w) = 0.
-1, 0, 1
Let t(x) = -2*x**3 - 4*x**2 - 3*x - 2. Let g(i) = i**3 - 8*i**2 + i - 10. Let m be g(8). Let n be t(m). Find f such that 2 - n*f + 0*f**2 + f + f**2 = 0.
1, 2
Let s be (-48)/8*1/(-2). Factor -1/2*i**s + 0 - i**2 + 0*i.
-i**2*(i + 2)/2
Let 3/4 + 5/4*h**2 - 2*h = 0. What is h?
3/5, 1
Let v(n) be the first derivative of n**4 + 28*n**3/3 + 30*n**2 + 36*n - 7. Find j, given that v(j) = 0.
-3, -1
Let z = -969/10 - -195/2. Factor 3/5*i**4 - z*i**3 + 0*i**2 + 0 + 0*i.
3*i**3*(i - 1)/5
Let s(h) be the first derivative of -h**4 + 44*h**3/3 - 70*h**2 + 100*h - 33. Factor s(q).
-4*(q - 5)**2*(q - 1)
Let f(i) be the third derivative of -5*i**2 + 1/3*i**3 - 1/60*i**6 + 0*i + 1/12*i**4 - 1/30*i**5 + 0. What is m in f(m) = 0?
-1, 1
Let i(p) be the third derivative of -3*p**2 - 1/16*p**5 + 0*p**3 - 1/40*p**6 + 0*p - 1/16*p**4 - 1/280*p**7 + 0. Factor i(r).
-3*r*(r + 1)**2*(r + 2)/4
What is q in -8/11 + 6/11*q + 2/11*q**2 = 0?
-4, 1
Let r(d) be the third derivative of -d**11/1663200 + d**10/378000 - d**9/302400 + d**5/30 - 3*d**2. Let i(s) be the third derivative of r(s). Factor i(p).
-p**3*(p - 1)**2/5
Let j be ((-10)/36)/(10/(-8)). Solve -j*n**3 + 0 + 2/3*n**2 - 4/9*n = 0 for n.
0, 1, 2
Let q(x) be the third derivative of x**7/5040 + x**6/480 + x**5/120 + x**4/24 - 5*x**2. Let h(n) be the second derivative of q(n). Factor h(s).
(s + 1)*(s + 2)/2
Let a be (-57)/(-21) - 14/(-49). Determine p so that -2/5 + p + 1/5*p**a - 4/5*p**2 = 0.
1, 2
Let j be 99/11*2/12. Factor 0 - 3/2*a**2 + j*a.
-3*a*(a - 1)/2
Let c(m) be the third derivative of -m**6/840 + m**5/420 - 6*m**2. Factor c(h).
-h**2*(h - 1)/7
Let i(h) be the third derivative of 1/16*h**4 + 0*h + 0 - 1/120*h**5 + 5*h**2 - 1/6*h**3. Factor i(w).
-(w - 2)*(w - 1)/2
Let o(c) be the second derivative of c**7/126 - c**6/45 + c**4/18 - c**3/18 - 8*c. Factor o(d).
d*(d - 1)**3*(d + 1)/3
Let z = 2255/3 - 751. Determine s, given that -1/6*s**2 - z + 2/3*s = 0.
2
Let f be 2/(-6) + (5 + -10 - -6). Factor 2/3*b + f*b**2 - 4/3.
2*(b - 1)*(b + 2)/3
Factor -2*o - 7*o**2 + 3 + 2*o**2 - 3*o + 7.
-5*(o - 1)*(o + 2)
Let a = -33 - -36. Solve -1/3*b + b**2 + 0 + 1/3*b**4 - b**a = 0.
0, 1
Let c(s) be the third derivative of s**6/60 - s**5/6 + 2*s**4/3 - 4*s**3/3 + 10*s**2. Find k, given that c(k) = 0.
1, 2
Factor -3/5*r**3 - 1/5*r**5 + 0*r + 1/5*r**2 + 0 + 3/5*r**4.
-r**2*(r - 1)**3/5
Let a(i) be the first derivative of -i**3/6 - 3*i**2/4 - i - 40. Suppose a(p) = 0. What is p?
-2, -1
Let u(l) = -10*l**3 + l**2 + l. Let n be u(-1). Let m be (8/n)/(6 - 4). Factor 2/5*w**2 + 4/5*w + m.
2*(w + 1)**2/5
Let d = -422/3 + 4924/35. Let j(v) be the third derivative of -4*v**2 + 0*v**3 + 0*v - d*v**7 + 0 - 1/15*v**6 - 1/12*v**5 - 1/24*v**4. Factor j(z).
-z*(z + 1)*(2*z + 1)**2
Factor 3/2*w**3 + 1/4*w**5 + 0 + 1/4*w + w**4 + w**2.
w*(w + 1)**4/4
Suppose -6*r + 70 = -r. Suppose -3*a - r = 4*c, 3*a + 2*c - c = 1. Factor 0 - 10/3*z**a + 4/3*z.
-2*z*(5*z - 2)/3
Let 10*l**2 - 9*l**2 + 5*l - 6*l**2 = 0. Calculate l.
0, 1
Let z(r) be the third derivative of r**5/30 + r**4/16 - r**3/12 + 2*r**2. Factor z(y).
(y + 1)*(4*y - 1)/2
Factor -3*i**4 + 6*i - 4*i + 7*i + 3*i**2 - 9*i**3.
-3*i*(i - 1)*(i + 1)*(i + 3)
Let q(d) be the third derivative of 6*d**2 - 1/40*d**6 - 1/8*d**4 + 0*d + 0*d**3 + 0 + 1/10*d**5. Let q(u) = 0. Calculate u.
0, 1
Let a(p) be the second derivative of 0 + 1/4*p**4 + 0*p**3 + 0*p**2 + 6*p. Factor a(i).
3*i**2
Let x(d) be the first derivative of 3*d**5/5 - d**4 + d**3/3 - 1. Factor x(p).
p**2*(p - 1)*(3*p - 1)
Suppose -5*b + 4*f - 3*f = -151, -4*f = 4. Suppose -5*s + 20 = -b. Suppose 2*x**2 - s*x**3 - 6*x**2 + 0*x**2 = 0. What is x?
-2/5, 0
Let v(k) = -3*k + 37. Let n be v(11). Factor 8/3*b - n*b**2 - 2/3*b**4 + 8/3*b**3 - 2/3.
-2*(b - 1)**4/3
Let y be (-1 - (-6 + 3)) + -5. Let m be 1/5*(-12)/y. Factor 2/5 + m*w**3 - 4/5*w**4 + 2/5*w**2 - w + 1/5*w**5.
(w - 2)*(w - 1)**3*(w + 1)/5
Let j(b) = b**5 - b**4 + b**2. Let u(y) = -3*y**5 + 5*y**4 - 2*y**3 - 5*y**2. Let a(c) = 5*j(c) + u(c). Determine l so that a(l) = 0.
-1, 0, 1
Let u(i) be the first derivative of 3*i**4/8 - 5*i**3/2 - 9*i**2/2 + 2. Solve u(d) = 0 for d.
-1, 0, 6
Let i(z) = -21*z**3 - 33*z**2 - 11*z + 1. Suppose -2 = -2*p + 4. Let l(t) = 7*t + 32*t**2 + 12*t**p + 8*t**3 + 5*t. Let d(v) = -2*i(v) - 3*l(v). Factor d(x).
-2*(x + 1)*(3*x + 1)**2
Suppose 2*c - 3*c + 3 = 0. Let v(d) be the first derivative of -1 + 0*d**2 - 2/21*d**c + 0*d. Factor v(n).
-2*n**2/7
Let x(u) be the first derivative of 2 + 10/3*u**3 + 2/5*u**5 + 2*u**4 + 0*u + 2*u**2. Determine a, given that x(a) = 0.
-2, -1, 0
Let j(u) be the second derivative of -u**7/630 + u**5/180 - u**2/2 - 6*u. Let s(i) be the first derivative of j(i). Factor s(g).
-g**2*(g - 1)*(g + 1)/3
Let q(b) = 2*b**3 - 96*b**2 + 93*b + 49. Let v be q(47). Let 0*t + 1/6*t**v - 1/6 = 0. Calculate t.
-1, 1
Factor -4/5*v**3 + 24/5*v**2 - 24/5 + 4/5*v.
-4*(v - 6)*(v - 1)*(v + 1)/5
Solve 4/7*b**3 + 20/7*b - 17/7*b**2 - 4/7 = 0 for b.
1/4, 2
Let y(p) be the third derivative of -p**6/720 + p**5/72 - p**4/18 + p**3/9 + 16*p**2. Solve y(n) = 0 for n.
1, 2
Let x(g) be the third derivative of -g**8/504 - g**7/315 + g**6/90 + g**5/45 - g**4/36 - g**3/9 - 4*g**2. Factor x(a).
-2*(a - 1)**2*(a + 1)**3/3
Let h be (7 - 7)/(2/1). Let c be (-2 - h)/(-6 - 1). Factor 4/7*k - c - 2/7*k**2.
-2*(k - 1)**2/7
Let p(h) be the second derivative of h**5/100 - h**3/10 + h**2/5 - 2*h. Factor p(r).
(r - 1)**2*(r + 2)/5
Let z be 230/(-48)*(258/(-120) - -2). Let y(c) be the third derivative of -3*c**2 - 7/80*c**5 - 3/4*c**3 + 0*c + 0 + z*c**4. Factor y(i).
-3*(i - 3)*(7*i - 2)/4
Let c(d) = -d**2 - 8*d - 5. Let l be c(-7). Find p such that l*p**2 - p**4 + 2 + p**3 - 1 - 1 = 0.
-1, 0, 2
Solve -7*p**2 - 1