*4/6 + 10*w**3/3 - 25*w**2 + 250*w/3 - 6. What is x in s(x) = 0?
5
Let j(l) = -6*l**4 + 21*l**3 + 63*l**2 - 21*l - 57. Let g(h) = -h**4 + 3*h**3 + 9*h**2 - 3*h - 8. Let s(w) = 15*g(w) - 2*j(w). Let s(f) = 0. What is f?
-1, 1, 2
Let r(m) be the second derivative of m**7/56 - 3*m**5/80 - 20*m. Factor r(y).
3*y**3*(y - 1)*(y + 1)/4
Let j(d) be the first derivative of d**6/105 - d**4/21 + d**2/7 + d + 2. Let m(f) be the first derivative of j(f). Factor m(q).
2*(q - 1)**2*(q + 1)**2/7
Let 2/3 + 4/9*n - 2/9*n**2 = 0. Calculate n.
-1, 3
Let v(z) be the third derivative of -z**6/360 + z**5/45 - 5*z**4/72 + z**3/9 - 44*z**2. Find w, given that v(w) = 0.
1, 2
Factor -t**2 - 3*t**4 + 4*t**2 - 3*t + 3*t**3 + 0*t**2.
-3*t*(t - 1)**2*(t + 1)
Let g = 5059/2280 - 42/19. Let s(m) be the third derivative of g*m**5 + 0*m + 0 - 1/420*m**7 + 1/1344*m**8 + 0*m**3 - 1/96*m**4 + m**2 + 0*m**6. Factor s(k).
k*(k - 1)**3*(k + 1)/4
Find m such that 0 - 10/7*m + 2/7*m**2 = 0.
0, 5
Suppose -3*p + 11*v - 5 = 10*v, -3*p + 4*v = 20. Suppose p + 8/7*f**2 - 6/7*f = 0. Calculate f.
0, 3/4
Let -3 - 7*q + 5/4*q**2 = 0. Calculate q.
-2/5, 6
Let d(b) be the third derivative of -b**6/320 - b**5/80 - 13*b**2. Factor d(m).
-3*m**2*(m + 2)/8
Let w = -84 + 87. Let j(t) be the second derivative of 0 - 1/90*t**6 + 3*t + 1/18*t**w + 1/36*t**4 - 1/60*t**5 + 0*t**2. What is k in j(k) = 0?
-1, 0, 1
Let a = 493 + -3445/7. Factor 0 + 0*b - a*b**3 + 2/7*b**4 + 4/7*b**2.
2*b**2*(b - 2)*(b - 1)/7
Let x(b) = -b**3 - 12*b**2 + b + 14. Let v be x(-12). Let a be v - 0 - 3/(-3). Suppose 3*n**3 - 7*n**3 + 3*n**a = 0. Calculate n.
0
Let z = 42 - 38. Let o = 8 + -5. What is w in -6*w**3 - 10*w**4 - 4 + 2*w**o + z = 0?
-2/5, 0
Let a = -2417/4 + 605. Determine f, given that 1 - 1/4*f**2 - a*f = 0.
-4, 1
Suppose 3*p - 3*p**4 + p**2 + 2*p**2 - 2*p**3 - p**3 = 0. What is p?
-1, 0, 1
Factor -27/4*a**4 + 3*a**5 + 0*a + 9/2*a**3 - 3/4*a**2 + 0.
3*a**2*(a - 1)**2*(4*a - 1)/4
Factor 153*i + 2*i**3 - 3*i + 30*i**2 + 142 + 108.
2*(i + 5)**3
Let o = 19 + -16. Suppose 0 = 3*l + o*l. Factor -3/5*w**2 + 3/5 + l*w.
-3*(w - 1)*(w + 1)/5
Let j = -55 - -60. Let y(x) be the first derivative of -2/5*x - 3/5*x**2 - 4/15*x**3 + 1/5*x**4 + 4 + 1/15*x**6 + 6/25*x**j. Factor y(d).
2*(d - 1)*(d + 1)**4/5
Let z be (-1)/(-5) + 8/(-42). Let m(l) be the second derivative of -l - 2/75*l**6 + 0*l**5 + 0 + 0*l**2 + 1/15*l**4 - 1/15*l**3 + z*l**7. Factor m(k).
2*k*(k - 1)**3*(k + 1)/5
Let 0 - 4/5*c**4 - 4/5*c**3 + 0*c + 0*c**2 = 0. What is c?
-1, 0
Let d be 446/8 - (-18)/(-24). Let s be (-10)/d + (-46)/(-11). Factor -2*g**2 + g**2 - 18*g - s - 13*g**2.
-2*(g + 1)*(7*g + 2)
Suppose -2/3*i - 10/3*i**3 + 0 + i**4 + 3*i**2 = 0. What is i?
0, 1/3, 1, 2
Let d(s) = -5*s**3 + 55*s**2 - 116*s - 180. Let r(z) = -55*z**3 + 605*z**2 - 1275*z - 1980. Let g(k) = -45*d(k) + 4*r(k). Determine i, given that g(i) = 0.
-1, 6
Let i be 15/42 - (-2)/14. Factor 3/4*a - 1/4*a**3 + i + 0*a**2.
-(a - 2)*(a + 1)**2/4
Let i be (-4)/((-9 - -8) + 1/(-1)). Let g(z) be the third derivative of -1/180*z**6 + 0*z**4 + 1/90*z**5 + 0*z**3 + 0 + 0*z + 4*z**i. Factor g(y).
-2*y**2*(y - 1)/3
Let g(j) = j**4 + 3*j**3 + 14*j**2 + 4*j - 4. Let r(i) = 3*i**4 + 6*i**3 + 27*i**2 + 9*i - 9. Let w(l) = -9*g(l) + 4*r(l). Factor w(y).
3*y**2*(y - 3)*(y + 2)
Suppose -2*w = -3*i - 0*w - 1, 8 = 4*w. Let b be (2 - i)/((-2)/(-6)). Solve 0 - 4/5*x**2 - 2/5*x - 2/5*x**b = 0 for x.
-1, 0
Let z(h) be the second derivative of 1/24*h**4 + 0 + 2*h - 1/2*h**2 + 1/12*h**3. Factor z(c).
(c - 1)*(c + 2)/2
Let c(o) be the third derivative of 0*o**3 + 0*o**4 + 0*o - 4*o**2 + 1/224*o**8 + 0*o**6 + 0 - 1/140*o**7 + 0*o**5. Solve c(b) = 0 for b.
0, 1
Let j(f) be the first derivative of 0*f**5 + f**4 - 1/3*f**6 - f**2 + 0*f**3 - 5 + 0*f. Factor j(k).
-2*k*(k - 1)**2*(k + 1)**2
Let p(d) be the first derivative of 0*d + 1/10*d**2 - 3 + 1/15*d**3. Factor p(b).
b*(b + 1)/5
Let n(c) be the third derivative of c**11/332640 - c**9/20160 + c**8/10080 + c**5/20 + 5*c**2. Let u(k) be the third derivative of n(k). Factor u(b).
b**2*(b - 1)**2*(b + 2)
Let l be (1/(-2))/((-4)/80). Suppose 4*i + 2 = l. Factor c**2 + c**2 - 2*c - c**i + 0*c**2.
c*(c - 2)
Let l be ((-1 + -1)*(-2)/10)/4. Let b(v) be the first derivative of -3 + l*v**4 + 0*v**2 - 2/15*v**3 + 0*v. Determine o so that b(o) = 0.
0, 1
Find x such that -64/7*x - 14*x**3 - 22*x**2 - 8/7 = 0.
-1, -2/7
Let j be ((-1)/5)/(21/(-140)). Let g = -5 - -8. Factor 2/3*n**4 - 4/3*n**g + 0*n**2 - 2/3 + j*n.
2*(n - 1)**3*(n + 1)/3
Let q(h) = 120*h**4 + 490*h**3 + 700*h**2 + 265*h - 15. Let k(n) = -17*n**4 - 70*n**3 - 100*n**2 - 38*n + 2. Let s(r) = 15*k(r) + 2*q(r). Factor s(x).
-5*x*(x + 2)**2*(3*x + 2)
Let s(q) be the second derivative of q**7/2520 + q**6/240 + q**5/60 + q**4/12 - q. Let h(i) be the third derivative of s(i). Factor h(v).
(v + 1)*(v + 2)
Let l(s) be the third derivative of -s**5/80 + s**4/4 - 2*s**3 + 22*s**2. Suppose l(v) = 0. Calculate v.
4
Let b(h) be the second derivative of h**7/105 + h**6/30 - h**4/6 - h**3/3 - h**2 + 3*h. Let z(j) be the first derivative of b(j). Factor z(k).
2*(k - 1)*(k + 1)**3
Solve 15*d**4 + 49*d**3 + 67*d**2 - 14*d**3 - 57*d**2 = 0 for d.
-2, -1/3, 0
Let k(n) be the first derivative of n**8/224 + n**7/70 - n**5/20 - n**4/16 + n**2/2 - 6. Let f(h) be the second derivative of k(h). Find w, given that f(w) = 0.
-1, 0, 1
Factor -2/21 + 20/21*v**3 + 2/21*v**5 + 10/21*v - 10/21*v**4 - 20/21*v**2.
2*(v - 1)**5/21
Let j be 9/(-45) - 38/(-90). Factor -2/9*t**2 - j - 4/9*t.
-2*(t + 1)**2/9
Let c = -20 + 36. Let n = c + -24. Let y(p) = -12*p**3 - 43*p**2 - 68*p - 4. Let s(v) = -4*v**3 - 14*v**2 - 23*v - 1. Let w(o) = n*s(o) + 3*y(o). Factor w(x).
-(x + 2)**2*(4*x + 1)
Suppose 0 = -j - 2*j + 6. Factor j*p**2 + 7*p**2 + 3*p**2 + 8*p + 4*p**3.
4*p*(p + 1)*(p + 2)
Let u(o) = 2*o - 9. Let g be u(6). Factor -2*z**4 - 3*z**3 - 2*z**3 + 3*z**g.
-2*z**3*(z + 1)
Let n(x) be the first derivative of 0*x**3 + 0*x + 0*x**2 - 2/45*x**5 + 0*x**4 + 4 - 1/27*x**6. Find k such that n(k) = 0.
-1, 0
Let b = 1 - -5. Let n(v) be the second derivative of 1/120*v**b + 0*v**4 + v + 0*v**2 + 1/80*v**5 + 0 + 0*v**3. Factor n(r).
r**3*(r + 1)/4
Factor -1/4*a + 1/4*a**3 + 1/2 - 1/2*a**2.
(a - 2)*(a - 1)*(a + 1)/4
Let o = 19421481269095/10717 + -1812212487. Let p = o - -2/1531. Determine z, given that 24/7*z**2 - 6/7*z**3 + 0 + 8/7*z - p*z**5 - 52/7*z**4 = 0.
-1, -2/5, 0, 2/3
Let b = -120883/37521 + -2/4169. Let z = b + 31/9. Factor 0 + 0*m + z*m**2.
2*m**2/9
Let r(g) = g**3 - 3*g**2 - 2*g + 2. Let i be r(3). Let z be (-13)/(-4) - i/(-16). Factor -2*w + 2*w**z + 2 - 2.
2*w*(w - 1)*(w + 1)
What is s in -1/3*s**3 + 0 + 0*s + 2/3*s**2 = 0?
0, 2
Let x(k) be the second derivative of -2*k**2 - 65/12*k**4 + 5*k**3 + 21/8*k**5 + 0 + 8*k - 9/20*k**6. Find y such that x(y) = 0.
2/9, 2/3, 1, 2
Factor 5/4*i**2 - 1/4*i - 3/4*i**3 + 0 - 9/4*i**4.
-i*(i + 1)*(3*i - 1)**2/4
Let m(f) be the second derivative of f**6/300 - f**5/30 + 2*f**4/15 - 4*f**3/15 + 7*f**2/2 + f. Let g(y) be the first derivative of m(y). Factor g(i).
2*(i - 2)**2*(i - 1)/5
Let x(r) be the second derivative of -r**5/170 + 5*r**4/102 - 8*r**3/51 + 4*r**2/17 + 7*r. Solve x(k) = 0 for k.
1, 2
Let m(w) be the first derivative of 2*w**5/85 + 2*w**4/17 - 2*w**3/51 - 4*w**2/17 + 21. Factor m(c).
2*c*(c - 1)*(c + 1)*(c + 4)/17
Suppose -14 = 4*s - 22. Let 4/5*q**s + 2/5*q + 0 + 2/5*q**3 = 0. What is q?
-1, 0
Let x be 3*((-3)/9 + 1). Let b(q) be the first derivative of -2*q + 1/2*q**4 + 3*q**x - 2*q**3 + 1. Factor b(k).
2*(k - 1)**3
Let m be (-3 + (-33)/(-9))/(6/27). Let u(c) be the first derivative of 0*c + 1/2*c**2 + c**m - 2. Factor u(k).
k*(3*k + 1)
Let v(g) = g**2 + 9*g + 1. Let p be v(-8). Let c = 9 + p. Factor -5*n**2 + 1 + 2*n**c - 10 - n**2 - 12*n.
-(2*n + 3)**2
Let t(p) be the first derivative of -4*p**2 - 4 - 8*p - 2/3*p**3. Factor t(h).
-2*(h + 2)**2
Let h = 653 - 651. Factor -2/3*l**5 + h*l**4 - 4/3*l**3 - 2/3 - 4/3*l**2 + 2*l.
-2*(l - 1)**4*(l + 1)/3
Suppose r = -3*r + 8. Let i(q) be the second derivative of 4*q + 4/3*q**3 - q**4 - 1/15*q**6 + 2/5*q**5 + 0 - q**r. Find k such that i(k) = 0.
1
Factor s + 19*s + 12 - s**2 + 5*s**2 - 4*s**3.
-4*(s - 3)*(s + 1)**2
Let m(a) be the third derivative of -a**8/1848 - 2*a