actor -8/9 - 8/9*r + 10/3*r**c.
2*(3*r - 2)*(5*r + 2)/9
Let v(x) be the third derivative of -x**5/48 - 5*x**4/96 + 25*x**2. Suppose v(o) = 0. What is o?
-1, 0
Let q(d) = 10*d**3 - 40*d**2 - 112*d + 104. Let p(l) = -7*l**3 + 27*l**2 + 75*l - 69. Let a(x) = -8*p(x) - 5*q(x). Factor a(r).
2*(r - 4)*(r + 2)*(3*r - 2)
Suppose 3*l = 2*l. Determine y so that l*y - 4 + 4*y - 8*y - y**2 = 0.
-2
Let g(u) be the third derivative of 0 + 4*u**2 + 0*u**4 - 1/2*u**3 + 1/20*u**5 + 0*u. Let g(s) = 0. Calculate s.
-1, 1
Let s(q) = q**4 - 8*q**3 - 9*q**2 + 8*q - 4. Let w(v) = -v**3 - v**2. Let c(l) = -s(l) + 6*w(l). Factor c(o).
-(o - 2)*(o - 1)**2*(o + 2)
Let t(p) = -p**2 - p. Let d(x) = -4*x**2 - 14*x + 6. Let o(g) = -d(g) + 6*t(g). Factor o(u).
-2*(u - 3)*(u - 1)
Factor 3 + g**2 + 3*g + 1/9*g**3.
(g + 3)**3/9
Let y be (-60)/(-14) - (-5 + 9). Factor y*p**2 - 2/7*p - 2/7 + 2/7*p**3.
2*(p - 1)*(p + 1)**2/7
Determine t so that -3/5*t**3 + 0*t**2 + 0 + 3/5*t**4 + 0*t = 0.
0, 1
Suppose -y - 7 = -7. Let h(o) be the third derivative of y - 1/4*o**4 + 0*o - 7/120*o**5 - 3*o**2 + 1/3*o**3. Determine d, given that h(d) = 0.
-2, 2/7
Let o be 0 + 0 + -3 + 72/15. Let 3/5 + 9/5*j**2 - 3/5*j**3 - o*j = 0. What is j?
1
Let y(r) = r**3 - 37*r**2 - 38*r + 3. Let o be y(38). Factor 6/5 + 3/5*q**o - 6/5*q**2 - 3/5*q.
3*(q - 2)*(q - 1)*(q + 1)/5
Factor 0 + 5/6*b**5 + 4/3*b**4 + 1/6*b**3 + 0*b - 1/3*b**2.
b**2*(b + 1)**2*(5*b - 2)/6
Let n = -43 + 45. Let t(a) be the first derivative of -n*a**2 + 2/3*a**3 - 1 + 2*a. Factor t(c).
2*(c - 1)**2
Let d be 2/(-11) - (-192)/(-33). Let r be (-12)/(-21)*(-3)/d. Solve r*w + 0 - 2/7*w**3 + 0*w**2 = 0 for w.
-1, 0, 1
Let o = 1/18 + 4/9. Factor 1/2 - 3/2*t - o*t**3 + 3/2*t**2.
-(t - 1)**3/2
Let g be -5 - -5 - 1*-2. Factor -9 + 9 - g*o - 2*o**3 - 4*o**2.
-2*o*(o + 1)**2
Suppose -h - h + 4 = 0. Suppose 0 = -3*o - r - r + h, o + r = 0. Factor 0*s + 0 - 4/5*s**o - 6/5*s**3 - 2/5*s**4.
-2*s**2*(s + 1)*(s + 2)/5
Let i = -146 + 150. Let c(a) be the first derivative of 1/3*a**2 + 4/9*a**3 + 0*a + 1/6*a**i + 4. What is k in c(k) = 0?
-1, 0
Let q(v) = 28*v**4 + 58*v**3 + 44*v**2 + 2*v. Let s(f) = -84*f**4 - 175*f**3 - 132*f**2 - 7*f. Let x(l) = -17*q(l) - 6*s(l). Factor x(u).
4*u*(u + 1)**2*(7*u + 2)
Let x be 5/(-2)*(-2 - 2). Let d be 4/10*(0 + x). Factor h**4 + 0*h**4 + 0*h**d.
h**4
Let x(z) be the second derivative of z**4/21 + 10*z**3/7 - 32*z**2/7 + 45*z. Factor x(g).
4*(g - 1)*(g + 16)/7
Suppose 0 = -3*k + 2*k + 9. Determine p, given that p**4 - 2*p**3 - 1 + 9*p - k*p + 2*p = 0.
-1, 1
Suppose 0 = 3*w - 4*f + 2*f - 2, -4*f - 4 = -2*w. Suppose n = 1, 3*s + w*s = -4*n + 4. Factor 4/3*j**3 - 2/3*j**4 + 2/3 + s*j**2 - 4/3*j.
-2*(j - 1)**3*(j + 1)/3
Suppose -7*r = -3*r - 4. Let q be 3 - 21/9*r. Solve 0*i + 0*i**3 + 2/3*i**4 + q - 4/3*i**2 = 0.
-1, 1
Suppose y - 4 = -18*g + 16*g, -5*g + 2*y + 10 = 0. Factor 0 - 1/3*z - 1/6*z**3 - 1/2*z**g.
-z*(z + 1)*(z + 2)/6
Let k(n) = -3*n**3 + 5*n**2 + 2. Let b(d) = -d**3 + d**2 - d - 1. Let v(q) = -2*b(q) - k(q). Factor v(s).
s*(s - 1)*(5*s - 2)
Let i(r) = 4*r - 1. Let j be i(1). Factor -j*x**3 - 2*x + x + x**3 + 3*x**3.
x*(x - 1)*(x + 1)
Suppose 6 = -3*w + 33. Let y be 1*w/(-3) + 3. Determine b, given that y*b**2 + 1/4*b**3 + 0*b + 0 = 0.
0
Let -384/7*r**2 + 384/7*r + 3/7*r**5 - 144/7 + 180/7*r**3 - 39/7*r**4 = 0. What is r?
1, 2, 6
Let m(c) be the third derivative of c**8/560 + 8*c**7/525 + c**6/50 - 17*c**5/150 - c**4/8 + 3*c**3/5 - 3*c**2. Let m(a) = 0. Calculate a.
-3, -1, 2/3, 1
Let p be 4/((-32)/28)*(-8)/14. Let a(w) be the second derivative of 0*w**3 + 0 + 1/21*w**7 + 2/15*w**6 + 0*w**p - w + 1/10*w**5 + 0*w**4. Solve a(g) = 0.
-1, 0
Let a be (-3)/(-2) - (-15 - -16). Let p(z) be the second derivative of 2*z + 0 - 3/20*z**5 + a*z**3 - 3/2*z**2 + 1/4*z**4. What is c in p(c) = 0?
-1, 1
Let z be -2 - (-1)/4 - -2. Let t = 32 + -32. Let 1/4 - z*k**2 + t*k = 0. Calculate k.
-1, 1
Let i(g) be the first derivative of -2*g**3/3 + g**2 + 5. Factor i(o).
-2*o*(o - 1)
Let s(f) be the third derivative of -f**6/60 - f**5/20 + f**4/8 + f**3/3 + 11*f**2. Factor s(p).
-(p - 1)*(p + 2)*(2*p + 1)
Let a(i) be the second derivative of -i**5/5 - 4*i**4/3 + 10*i**3/3 + 9*i + 3. Factor a(b).
-4*b*(b - 1)*(b + 5)
Let n = -7/68 + 6/17. Let c(w) be the second derivative of 0 - n*w**4 - 6*w**2 + w + 2*w**3. Factor c(y).
-3*(y - 2)**2
Let k(h) be the third derivative of -h**5/510 + h**4/204 - 6*h**2. Factor k(q).
-2*q*(q - 1)/17
Suppose 0 = -2*l + 9 + 1. Suppose 4*h - 3 + 14 = -3*p, 10 = -l*p - 5*h. Factor 0 + 4/5*s - 18/5*s**2 - 2*s**4 + 24/5*s**p.
-2*s*(s - 1)**2*(5*s - 2)/5
Suppose 6*b - 10*b + 24 = 4*a, 3*a - 2*b + 2 = 0. Solve -3/4 + f - 1/4*f**a = 0.
1, 3
Factor p**2 - 2*p + 4 + 4 + 6*p - 4.
(p + 2)**2
Let t(d) = -3*d**2 + 29*d + 12. Let n be t(10). Suppose 1/4*y**n + 0*y + 0 + 1/4*y**4 - 1/2*y**3 = 0. Calculate y.
0, 1
Let u(c) = c**5 - c**4 + c**3 - c**2 - c + 1. Let h(t) = 15*t**5 - 15*t**4 + 27*t**3 - 33*t**2 - 12*t + 18. Let r(q) = -h(q) + 18*u(q). Factor r(k).
3*k*(k - 1)**3*(k + 2)
Factor 0 - 1/11*l**2 - 2/11*l.
-l*(l + 2)/11
Let t be 5 - (2 - 3 - -3). Find d, given that -4*d**3 - 6 + 0*d**2 - 8*d + 2 + t*d**3 - 5*d**2 = 0.
-2, -1
Let u(w) = 7*w**2 + 5. Let x(t) = -t**2 - 1. Let m(r) = -2*u(r) - 10*x(r). Suppose m(p) = 0. Calculate p.
0
Let p(v) = 5*v**4 - 6*v**3 - 9*v**2 + 19*v - 9. Let q(l) = 4*l**4 - 6*l**3 - 8*l**2 + 20*l - 10. Let b(w) = -2*p(w) + 3*q(w). Let b(d) = 0. What is d?
-2, 1, 3
Solve 11 - 20*k**3 + 56*k**2 - 41*k**2 + 45*k - 1 = 0.
-1, -1/4, 2
Let b(m) be the third derivative of m**8/2520 + m**7/420 + m**6/180 + m**5/180 + 5*m**3/6 + 7*m**2. Let d(f) be the first derivative of b(f). Factor d(z).
2*z*(z + 1)**3/3
Let h be ((-12)/(-44))/((-3)/1556). Let m = h + 7555/44. Solve -11*i + 1 + m*i**2 = 0 for i.
2/11
Let i(w) be the third derivative of -w**2 + 0*w - 4/33*w**3 + 0 + 1/33*w**4 - 1/330*w**5. What is g in i(g) = 0?
2
Suppose -z - 25 = -6*z - 5*k, 3*z + 3 = 3*k. Factor 5*o**3 - o**2 - 8*o**3 + z*o**2.
-o**2*(3*o - 1)
Let r(n) be the first derivative of 25*n**4/16 + 5*n**3 - 55*n**2/8 - 15*n/2 + 11. Factor r(j).
5*(j - 1)*(j + 3)*(5*j + 2)/4
Let p be 169/104 + (-1 - 0). Let r = 61/72 - p. Determine d, given that 2/9*d**2 + 2/9*d**3 - r - 2/9*d = 0.
-1, 1
Let q(x) = -x**2 - 5*x + 8. Let k be q(-6). Let -3*h**k + 0*h**2 + 3*h**3 + 0*h - 3*h**2 + 3*h = 0. What is h?
0, 1
Let j be 6/(-12)*(1 - 2). Let w(i) be the first derivative of 1/3*i - 1/12*i**4 + 1/3*i**3 + 2 - j*i**2. Factor w(x).
-(x - 1)**3/3
Let g be -1*1*(-10 - -7). Suppose 0*v**2 + 0 + 2/3*v**g + 0*v + 1/3*v**5 - v**4 = 0. What is v?
0, 1, 2
Factor 0*h**2 + 0*h - 2/7*h**3 - 2/7*h**4 + 0.
-2*h**3*(h + 1)/7
Suppose -5*k**2 + 55*k**3 + 6*k + 2*k**3 - 14*k**4 - 28*k**2 + 9*k**5 - 25*k**4 = 0. Calculate k.
0, 1/3, 1, 2
Let k(n) be the first derivative of -7*n**5/5 - 3*n**4/8 + 3*n**3/2 - n**2/2 - 30. Determine y so that k(y) = 0.
-1, 0, 2/7, 1/2
Let g = 53 + -49. Solve -z + 0*z**2 + 1/2 - 1/2*z**g + z**3 = 0.
-1, 1
Let y be (4/(-2) + 32)/7. Suppose 16/7*o - y*o**3 - 8/7 + 22/7*o**2 = 0. What is o?
-2/3, 2/5, 1
Let d(w) be the second derivative of 1/105*w**6 - 1/35*w**5 + 2/21*w**3 + 0*w**4 - w + 0 - 1/7*w**2. Factor d(h).
2*(h - 1)**3*(h + 1)/7
Determine b so that 0*b**2 + 11*b - 13*b - 3*b**2 + 4*b**2 = 0.
0, 2
Let o(a) be the third derivative of -a**7/15120 + a**6/2160 - a**5/720 - a**4/8 + 2*a**2. Let i(w) be the second derivative of o(w). Let i(h) = 0. What is h?
1
Let r(b) be the third derivative of -8*b**2 - 1/120*b**6 + 0 + 0*b + 0*b**3 - 25/1344*b**8 + 1/42*b**7 + 0*b**5 + 0*b**4. Find v, given that r(v) = 0.
0, 2/5
Let q(k) = 5*k**3 + k**5 - 1 - 5*k**3. Let a(w) = -6*w**4 + 14*w**3 - 16*w**2 + 9*w - 1. Suppose 6*u + 6 + 0 = 0. Let x(y) = u*a(y) - q(y). Factor x(z).
-(z - 2)*(z - 1)**4
Let i(v) be the second derivative of 6*v**3 + 3*v + 0 - 3/2*v**2 - 9*v**4. Factor i(x).
-3*(6*x - 1)**2
Let o be (-3)/(-108)*((-18)/(-24))/1. Let k(t) be the third derivative of 0*t + o*t**4 + 1/24*t**3 + 0 - 3*t**2 + 1/240*t**5. Factor k(n).
(n + 1)**2/4
Factor 0*n**2 - 7*n**4 + 8*n**5 - 3*n**5 - 2*n**5 + 5*n**3 - n**2.
n**2*(n - 1)**2*(3*n - 1)
Let d(b) = -5*b**5 + 3*b**4 + 7*b**3 - 3*b**2 + 2*b + 2. Let o(r) = -10*r**5 + 5*r**4 + 15*r**3 - 5*r**2 + 5*r + 5. Le