2 + 19 + 7*u**3 - 2*u**5 = 0.
-2, -1, 1, 3
Let v(x) be the third derivative of x**5/510 - 4*x**3/51 + x**2. Suppose v(n) = 0. Calculate n.
-2, 2
Let l be 13/52*(0 - -2). Solve -l*x + 0 - 1/2*x**2 = 0.
-1, 0
Factor 7 + 0 - 4*x**2 - 8*x**3 - 3 - 8*x**2.
-4*(x + 1)**2*(2*x - 1)
Let s(p) be the second derivative of p**4/20 - p**3 - 25*p. Factor s(y).
3*y*(y - 10)/5
Let d(n) be the second derivative of n**7/28 - 7*n**6/10 + 219*n**5/40 - 43*n**4/2 + 44*n**3 - 48*n**2 - 7*n. Determine j so that d(j) = 0.
1, 4
Let v(l) be the second derivative of 0*l**2 + 0 - 2/3*l**4 - 1/5*l**5 - 2/3*l**3 - 3*l. Factor v(g).
-4*g*(g + 1)**2
Let o = 19540/693 + 188/99. Let z = o - -4675/84. Factor 147/2*f**2 - z*f**3 + 2 - 21*f.
-(7*f - 2)**3/4
Let f = -11 - -16. Suppose 3/4*i**f - 1/4*i**3 + 0 + 0*i**2 - 1/2*i**4 + 0*i = 0. Calculate i.
-1/3, 0, 1
Suppose z = 4*i - 10, 5*z + 4 = 25*i - 28*i. Solve 2/3*a - 1/3 - 1/3*a**i = 0.
1
Solve 4/7*b**2 + 8/7 - 12/7*b = 0.
1, 2
Let b = 7 + -3. Let k = -1 + 4. Factor 0*n + 0 + 2/7*n**b + 2/7*n**2 + 4/7*n**k.
2*n**2*(n + 1)**2/7
Let z(a) = -5*a**2 - 9*a. Let k(c) = -44*c**2 - 80*c. Let x(u) = -6*k(u) + 52*z(u). Solve x(m) = 0 for m.
-3, 0
Let r = 10724256/53945 - -2/10789. Let u = -198 + r. Suppose -2*p + u + 2/5*p**2 + 4/5*p**3 = 0. Calculate p.
-2, 1/2, 1
Let s(h) be the second derivative of -3*h**5/20 + h**3/2 - 4*h. Factor s(b).
-3*b*(b - 1)*(b + 1)
Let o = -2/17 + 35/153. Let q(r) be the first derivative of 0*r + 1 + 0*r**2 - o*r**3. Factor q(z).
-z**2/3
Let s(d) be the third derivative of -1/12*d**4 + 2/15*d**5 + 0*d**3 - 1/15*d**6 - 2*d**2 + 0*d + 0. Factor s(p).
-2*p*(2*p - 1)**2
Let l(a) = -17*a**2 + 11*a + 17. Let n(c) = 6*c**2 - 4*c - 6. Let w(m) = 4*l(m) + 11*n(m). Solve w(v) = 0 for v.
-1, 1
Find b, given that 0*b**3 + 19 + 9*b**2 - 16 + 9*b + 3*b**3 = 0.
-1
Let g = -52 - -77. Let h be 8*(g/6 + -4). Let 5/3*x**2 + 4*x**3 + h - 4*x - 3*x**4 = 0. What is x?
-1, 2/3, 1
Let c(n) = 21*n**3 + 40*n**2 + 40*n + 22. Let q(d) = 4*d**3 + 8*d**2 + 8*d + 4. Let j(p) = -4*c(p) + 22*q(p). Factor j(y).
4*y*(y + 2)**2
Let n(f) = -f**3 + f**2 + f. Let t = -8 + 7. Let w(b) = 9*b**3 - 21*b**2 + 6*b - 12. Let i(k) = t*w(k) - 18*n(k). Let i(p) = 0. What is p?
-2, 2/3, 1
Let t = -3/10 + 4/5. Let f be 13/6 - 3 - -1. Factor 1/2*u**2 + f - t*u - 1/6*u**3.
-(u - 1)**3/6
Let w(b) be the first derivative of b**4/16 + b**3/12 - 5*b**2/8 + 3*b/4 - 4. Factor w(h).
(h - 1)**2*(h + 3)/4
Let v(z) be the third derivative of -z**5/60 - z**4/8 + 2*z**3/3 + 19*z**2. Factor v(g).
-(g - 1)*(g + 4)
Let s(z) be the second derivative of -7*z**6/30 + z**5/3 + z**4/3 + 3*z**2/2 + z. Let a(l) be the first derivative of s(l). Factor a(b).
-4*b*(b - 1)*(7*b + 2)
Let o be (-8)/(-4) + 0/(-2). Let s = -3 + 5. Factor 2*y - 2*y**2 - 2*y**o + 4*y**4 + 0*y**2 - s*y**3.
2*y*(y - 1)*(y + 1)*(2*y - 1)
Let z(d) be the second derivative of -1/8*d**2 - 4*d + 1/48*d**4 + 0 + 0*d**3. Solve z(l) = 0.
-1, 1
Let a = -1/687 - -6881/7557. Suppose 0 - a*h**4 + 0*h + 2/11*h**2 + 6/11*h**5 + 2/11*h**3 = 0. What is h?
-1/3, 0, 1
Factor 1/3 + 1/6*b - 1/6*b**2.
-(b - 2)*(b + 1)/6
Let t = 74 + -220/3. Solve -1/3*m**3 - t*m + 0 + m**2 = 0 for m.
0, 1, 2
Suppose -2/3*m**3 + 8/3 + 10/3*m**2 - 16/3*m = 0. What is m?
1, 2
Find s, given that 25*s - 12*s**2 + 4*s**3 - 17 + 3*s + 5 - 8*s**2 = 0.
1, 3
Let n = 50/11 + -228/55. Let u(k) be the first derivative of k**2 + 0*k + 1 - 1/2*k**4 + 2/3*k**3 - n*k**5. Factor u(t).
-2*t*(t - 1)*(t + 1)**2
Let z = -2 - -6. Let f(n) be the second derivative of -2*n + 0*n**z + 0*n**3 + 0*n**2 - 1/10*n**5 + 0. Factor f(w).
-2*w**3
Let w be (6/(-30))/((-2)/45). Factor 6*i**3 + 0 + w*i**2 - 3/2*i.
3*i*(i + 1)*(4*i - 1)/2
Let i(t) be the second derivative of 0 - 1/21*t**3 + 1/7*t**2 + 4*t + 1/70*t**5 - 1/42*t**4. Factor i(m).
2*(m - 1)**2*(m + 1)/7
Suppose 2*q - 33 = 5*q. Let m be q/55 + 7/10. Let -5/4*x**4 + 2*x**3 + 0 - m*x - 1/4*x**2 = 0. What is x?
-2/5, 0, 1
Factor 4*p + p**4 - 12*p**2 - 4*p + 10*p**2 + p**3.
p**2*(p - 1)*(p + 2)
Let f(z) be the third derivative of z**7/2520 + z**6/240 + z**5/60 + z**4/3 - 2*z**2. Let g(s) be the second derivative of f(s). Factor g(q).
(q + 1)*(q + 2)
Let q(f) = -f + 4*f**2 + 1 - 5*f**2 + 2*f**2 + 0. Let d(j) = 4*j**2 - 6*j + 6. Let y(a) = d(a) - 6*q(a). Let y(w) = 0. What is w?
0
Let k(t) = t**3 + 10*t**2 + 6*t - 25. Let m be k(-9). Factor 3/2*z**m + 3/2*z - 3.
3*(z - 1)*(z + 2)/2
Let q(n) = n + 4. Let a be q(0). Let 2*b**3 + b**4 - 4*b - 3*b**2 + 0*b**4 + 0*b**3 + a = 0. What is b?
-2, 1
Let j = 1/33 - -10/33. Let w(c) be the first derivative of 0*c**2 + c - 2 - j*c**3. Solve w(l) = 0 for l.
-1, 1
Let f(q) be the third derivative of 1/30*q**6 + 8/315*q**7 + 0*q**3 + 1/168*q**8 + 0*q - 3*q**2 - 1/36*q**4 + 0 + 0*q**5. Factor f(d).
2*d*(d + 1)**3*(3*d - 1)/3
Let j(c) be the third derivative of c**9/1008 - 3*c**7/280 + c**6/60 - c**3/6 - c**2. Let h(w) be the first derivative of j(w). Factor h(z).
3*z**2*(z - 1)**2*(z + 2)
Let c(t) = 29*t**3 - 129*t**2 + 171*t - 89. Let z(j) = -7*j**3 + 32*j**2 - 43*j + 22. Let x(s) = 2*c(s) + 9*z(s). Determine o so that x(o) = 0.
1, 4
Find b such that -2/3*b + 0 - b**2 = 0.
-2/3, 0
Let 0*m + 0*m**3 - 3/7*m**5 + 0*m**2 + 9/7*m**4 + 0 = 0. What is m?
0, 3
Let q = 2 + -2. Let z(t) be the second derivative of 1/6*t**4 + t**2 + t + 2/3*t**3 + q. Solve z(a) = 0 for a.
-1
Let w(z) = 25*z**2 - 11*z - 6. Let u(h) = 174*h**2 - 78*h - 42. Let j(f) = -4*u(f) + 27*w(f). Factor j(p).
-3*(p - 1)*(7*p + 2)
Let p(o) be the second derivative of o**4/84 + o**3/21 - 3*o**2/14 - 2*o + 38. Factor p(j).
(j - 1)*(j + 3)/7
Let j(b) be the first derivative of -b**3/2 - 9*b**2 - 54*b - 7. Determine w, given that j(w) = 0.
-6
Let u(a) be the second derivative of -2/3*a**4 - 2*a**2 + 3*a + 0 - 5/3*a**3 - 1/10*a**5. Factor u(z).
-2*(z + 1)**2*(z + 2)
Factor 0 + 2/7*d**4 - 8/7*d**3 + 0*d + 6/7*d**2.
2*d**2*(d - 3)*(d - 1)/7
Let z(p) be the first derivative of -10 - 1/20*p**5 + 1/16*p**4 + 1/4*p**3 - 1/2*p - 1/8*p**2. Find q such that z(q) = 0.
-1, 1, 2
Solve -28*y**5 + 11*y**3 + 17*y**3 + 10*y**2 - 2*y**2 - 8*y**4 = 0.
-1, -2/7, 0, 1
Let k(r) be the first derivative of 2*r**3/21 - 10*r**2/7 + 50*r/7 + 20. Solve k(y) = 0 for y.
5
Let 0*q**2 + 0 + 2/9*q**4 + 2/9*q**3 + 0*q = 0. What is q?
-1, 0
Let f = 284/371 + 20/53. Find h such that -f*h + 2/7*h**2 + 8/7 = 0.
2
Suppose -4 = 2*z - 2*a, 5*z - 11 = a - 13. Factor 2*n**3 - 2/3*n**4 + 0*n - 4/3*n**2 + z.
-2*n**2*(n - 2)*(n - 1)/3
Let c(g) = -6 - 4*g - 2*g**2 + 2*g + g**3 + 3 + 1. Let n be c(4). Solve n*h + 25/2*h**3 + 2*h**4 + 4 + 27*h**2 = 0 for h.
-2, -1/4
Let n = 51/2 - 25. Let k = 6/43 - -31/86. Let -5/2*t - n*t**5 - k - 5/2*t**4 - 5*t**3 - 5*t**2 = 0. Calculate t.
-1
Let v(c) be the first derivative of -c**6/12 + c**5/10 + c**4/8 - c**3/6 + 7. Find p, given that v(p) = 0.
-1, 0, 1
Factor 31*j + 1 + 15*j**4 + 50*j**3 - j + 4 + 60*j**2.
5*(j + 1)**3*(3*j + 1)
Let -15*m**2 - 309 + 5*m + 10*m**3 + 309 = 0. What is m?
0, 1/2, 1
Let d(z) be the second derivative of -z + 0*z**5 + 1/3*z**2 + 1/45*z**6 + 0 - 1/9*z**4 + 0*z**3. Solve d(b) = 0 for b.
-1, 1
Let g(j) = j**4 + j**3 - j**2 + j + 1. Let d(v) = -3*v**5 - 8*v**4 - 6*v**3 + 11*v + 5. Let p(l) = -d(l) + 5*g(l). Factor p(h).
h*(h + 1)**2*(h + 3)*(3*h - 2)
Let h(u) be the third derivative of -u**7/525 - u**6/150 - u**5/150 - 6*u**2. Factor h(f).
-2*f**2*(f + 1)**2/5
Let l(j) be the third derivative of 0*j**5 + 0*j + 0 + 0*j**3 - 1/12*j**4 - 3*j**2 + 1/60*j**6. Factor l(b).
2*b*(b - 1)*(b + 1)
Let j(q) be the third derivative of 0*q - 1/108*q**4 + 3*q**2 + 0*q**3 + 1/270*q**5 + 0. Find s, given that j(s) = 0.
0, 1
Let h(u) = 41*u**2 - 1. Let f be h(-1). Let y be f/22 + 2/11. Factor q + 2*q**2 - 2*q + 2*q**3 + y*q - q**3.
q*(q + 1)**2
Let f(p) be the second derivative of p**4/20 - 3*p**3/10 + 3*p**2/5 + 2*p. Suppose f(z) = 0. Calculate z.
1, 2
Factor s**3 - 3*s**2 + 6*s - 5*s**2 + s**3.
2*s*(s - 3)*(s - 1)
Let x(i) be the first derivative of 4*i - i**2 - 2/3*i**3 + 9. Solve x(t) = 0 for t.
-2, 1
Let k(j) be the third derivative of j**7/180 - j**6/270 + j**3/6 - j**2. Let s(d) be the first derivative of k(d). Factor s(p).
2*p**2*(7*p - 2)/3
Suppose -5*s = -x + 7, 0 = -4*x + s + 7 + 2. Factor -1/3 + 1/3*j**3 - j**x + j.
(j - 1)**3