e second derivative of -4/3*a**4 - a**t + a + 2*a**3 + 0. Determine i, given that m(i) = 0.
1/4, 1/2
Let a(j) be the third derivative of j**5/390 - j**4/39 + 4*j**3/39 - j**2. Factor a(w).
2*(w - 2)**2/13
Let v(u) be the second derivative of u**5/90 - 2*u**4/27 + 5*u**3/27 - 2*u**2/9 + 14*u. Determine x so that v(x) = 0.
1, 2
Suppose 3*q = 5*x - 91, 5*q - 21 - 14 = -x. Suppose -5*m + 57 = 2*r, 0 = 2*m + 2*m - x. Factor -29*n - 216*n**3 - 216*n**2 - r - 81*n**4 - 63*n - 4*n.
-(3*n + 2)**4
Factor -88*x**2 - x**3 - 3*x**3 + 3*x**3 + 82*x**2 - 9*x.
-x*(x + 3)**2
Let h(l) be the second derivative of l**4/6 - 11*l**3/9 + 2*l**2 + 20*l. Factor h(d).
2*(d - 3)*(3*d - 2)/3
Factor -21/2*p + 3/2*p**3 + 9 + 0*p**2.
3*(p - 2)*(p - 1)*(p + 3)/2
Let w(z) = z**3 + z**2 + 2*z. Let i(f) = f**2 + f. Let u(x) = -10*i(x) + 5*w(x). Find q, given that u(q) = 0.
0, 1
Factor -2/3*n**3 + 2*n**2 + 0 + 0*n.
-2*n**2*(n - 3)/3
Let b(n) = n**5 + n**4 + 11*n**3 + 11*n**2. Let t(i) = -3*i**5 - 4*i**4 - 33*i**3 - 32*i**2. Let a(l) = 17*b(l) + 6*t(l). Factor a(k).
-k**2*(k + 1)**2*(k + 5)
Let h(m) be the first derivative of -1 + 0*m + 0*m**3 + 1/20*m**4 - 1/10*m**2. Factor h(o).
o*(o - 1)*(o + 1)/5
Let w(l) be the first derivative of l**7/1260 + l**6/360 - l**4/72 - l**3/36 + l**2/2 + 6. Let h(a) be the second derivative of w(a). Solve h(r) = 0.
-1, 1
Let k(j) = 6*j**4 - 9*j**3 - 3*j**2 + 6*j. Let q(f) = -5*f**4 + 8*f**3 + 2*f**2 - 6*f + 1. Let i(x) = -2*k(x) - 3*q(x). Determine u so that i(u) = 0.
-1, 1
Let r(t) be the first derivative of -3*t**4/2 - 2*t**3 + 17*t**2 + 20*t - 4. Let x(n) = n**3 + n**2 - 7*n - 4. Let u(m) = -3*r(m) - 14*x(m). Factor u(b).
4*(b - 1)*(b + 1)**2
Let p be ((-3)/(9/(-6)))/(-2). Let z be (-18)/45*25*p. Find x, given that -26*x**2 - z*x**4 + 82/3*x**3 - 4/3 + 10*x = 0.
1/3, 2/5, 1
Suppose 2*g + 2*g = 12. Let a be ((-18)/g)/(-3)*1. Solve -5*x**3 + 4*x + 0*x**4 + 4 + x**5 + 4*x + x**a - x**4 = 0 for x.
-1, 2
Let q be 10*(-8)/(-30) - (2 + 0). Factor -v - q - 1/3*v**2.
-(v + 1)*(v + 2)/3
Let t(b) be the second derivative of b**8/26880 + b**7/10080 - b**6/1440 + b**4/12 + 7*b. Let u(v) be the third derivative of t(v). Solve u(y) = 0.
-2, 0, 1
Let j(k) be the third derivative of -k**5/210 - k**4/28 - 2*k**3/21 - k**2. Factor j(a).
-2*(a + 1)*(a + 2)/7
Let a(q) = q**3 - 4*q**2 + 6*q - 5. Let m be a(3). Factor 0*h**2 + 0*h + 0 - 1/4*h**3 - 1/4*h**m.
-h**3*(h + 1)/4
Let t(g) = 3*g - 22. Let u be t(8). Let d(x) be the third derivative of 0 + 0*x**3 - 1/330*x**5 + 0*x - 4*x**u - 1/66*x**4. Factor d(l).
-2*l*(l + 2)/11
Factor -2*g**2 - 4/5*g**3 + 0 + 6/5*g.
-2*g*(g + 3)*(2*g - 1)/5
Let l(a) be the second derivative of a**8/2240 + a**7/560 + a**6/480 - a**4/3 + 4*a. Let t(c) be the third derivative of l(c). Factor t(s).
3*s*(s + 1)*(2*s + 1)/2
Let b(c) = -2*c. Let x be b(6). Let h be x/(-21)*(-2)/(-4). Factor 2/7*k**2 + 0*k + 0 + h*k**3.
2*k**2*(k + 1)/7
Let x(s) be the second derivative of s**5/160 + 2*s - 62. Find z, given that x(z) = 0.
0
Let c(u) = -13*u**2 - 25*u - 19. Let q(p) = 6*p**2 + 12*p + 9. Suppose 3*h = -2*h - n - 32, -3*h - 33 = -4*n. Let l(y) = h*q(y) - 3*c(y). Solve l(k) = 0 for k.
-2, -1
Let o be 4*3/((-18)/(-3)). Let s(x) be the second derivative of 0*x**3 + 1/10*x**5 + 0*x**2 - 1/24*x**4 - o*x + 0. Factor s(p).
p**2*(4*p - 1)/2
Let p(a) = 4*a**2 - a. Let w(m) = -7*m**2 + 2*m. Let v(t) = 5*p(t) + 3*w(t). Factor v(s).
-s*(s - 1)
Let d = 117 - 113. Let f(v) be the second derivative of 0*v**3 + v + 3/70*v**5 + 1/42*v**d + 0 - 4/105*v**6 + 0*v**2. Determine t, given that f(t) = 0.
-1/4, 0, 1
Let q(p) be the second derivative of -5*p**4/12 + 5*p**3/2 + 10*p**2 + 6*p. Find g such that q(g) = 0.
-1, 4
Let c = 1862/3 + -633. Let j = c + 13. Suppose j - p + 1/3*p**2 = 0. What is p?
1, 2
Let a(x) be the second derivative of x**4/12 - x**3/6 - 10*x. Let o be a(0). Let o - 2/5*k**2 + 4/5*k = 0. Calculate k.
0, 2
Suppose 1 - 3*x + 0*x**2 + x - 2*x**2 + 3*x**2 = 0. What is x?
1
Let z be 2/7 - 188/(-28). Factor 7*d - d**4 - z*d - d**3.
-d**3*(d + 1)
Let n(k) = 9*k**2 - 12*k - 11. Let u(o) = 28*o**2 - 36*o - 32. Let m(h) = 16*n(h) - 5*u(h). Factor m(f).
4*(f - 4)*(f + 1)
Let h = -1/35 - -59/840. Let t(u) be the first derivative of 0*u - 1/20*u**5 + 2 - 1/16*u**4 + 0*u**2 + 1/12*u**3 + h*u**6. Determine a, given that t(a) = 0.
-1, 0, 1
Let b = -191 + 958/5. Factor -4/5 + 4/5*g**3 - 4/5*g + b*g**2 + 1/5*g**4.
(g - 1)*(g + 1)*(g + 2)**2/5
Let v(h) = -6*h + 3*h - h. Let c(j) = -j**2 - j. Let s(z) = -2*c(z) + v(z). Factor s(n).
2*n*(n - 1)
Let f(y) be the third derivative of 0*y**4 + 0 - 1/2*y**3 + 0*y + 1/20*y**5 - 3*y**2. Factor f(z).
3*(z - 1)*(z + 1)
Let k be 6 + 1/(4/(-12)). Let d be ((-1)/(-9)*k)/1. Factor -d*q**4 + 2/3*q**3 + 0*q**2 - 2/3*q + 1/3.
-(q - 1)**3*(q + 1)/3
Suppose -7*u + 18 = -u. Let 1/3 - b**2 - 2/3*b**u + 0*b = 0. What is b?
-1, 1/2
Factor 18*t + 3*t**2 - 11*t**2 + 5*t**2.
-3*t*(t - 6)
Let j(q) be the first derivative of q**7/21 - q**6/15 + 2*q + 1. Let w(p) be the first derivative of j(p). Let w(f) = 0. Calculate f.
0, 1
Let j(q) = 7*q - 10. Let l be j(3). Suppose l = 4*v + 3. Factor -1/2*t**v + 0 - 1/4*t**3 - 1/4*t.
-t*(t + 1)**2/4
Let q(t) be the first derivative of -98*t**5/15 + 7*t**4/3 + 32*t**3/3 - 14*t**2/3 + 2*t/3 + 7. Find s such that q(s) = 0.
-1, 1/7, 1
Let i = 136/3 - 45. Let v = 294 + -292. Let 2/3*k + i + 1/3*k**v = 0. Calculate k.
-1
Suppose 0 = -2*l - 2*l. Let s = -3 + 5. Factor l*o + 1/4*o**s - 1/4.
(o - 1)*(o + 1)/4
Suppose 8/5 - 4*i**2 + 12/5*i = 0. What is i?
-2/5, 1
Let r(h) be the first derivative of 1/2*h**4 - h**2 - 2/9*h**3 + 2/3*h + 1. Determine w so that r(w) = 0.
-1, 1/3, 1
Let s be (-186)/31*1*2/(-42). Factor s*x + 0 + 2/7*x**2.
2*x*(x + 1)/7
Let i(k) = k**2 + k - 4. Let a be i(-3). Find f such that 4*f**4 - 2*f**4 - 2*f**a + f - 2*f + 0*f + f**5 = 0.
-1, 0, 1
Let c(z) be the second derivative of z**5/20 + z**4/12 - z**3/6 - z**2/2 + 64*z. Solve c(d) = 0.
-1, 1
Suppose -q = 2*m - 6, -q = 4*m + 4*q - 18. Suppose -m*s + 2 = -2. Factor s + 1/2*d**2 - 2*d.
(d - 2)**2/2
Let s(v) be the first derivative of v**6/2 + 6*v**5/5 - 2*v**3 - 3*v**2/2 - 9. Factor s(n).
3*n*(n - 1)*(n + 1)**3
Let u(l) be the second derivative of -l**4/54 + 8*l. Factor u(n).
-2*n**2/9
Let 1 - 3/4*c**2 - 1/8*c**3 + 1/2*c + 1/8*c**4 = 0. Calculate c.
-2, -1, 2
Suppose 0 = 4*o - 3*j - 3, -3*o + 4*j = j. Suppose -2*b - o = k, -4*k + 18 = -2*k - 4*b. Factor -4 + 15*p**2 + k*p**2 - 54*p + 58 - 2*p**3.
-2*(p - 3)**3
Solve 5*n**3 + 2*n**4 - 8*n**2 + 4 - 4*n + 4*n**4 - 2*n**4 - 4*n**5 + 3*n**3 = 0 for n.
-1, 1
Let j(m) = -m**2 - 10*m + 13. Let w be j(-11). What is r in 6/5*r + 1/5*r**w + 16/5*r**4 - 24/5*r**3 + 1/5 = 0?
-1/4, 1
Let n be 2 - (0 + 3) - -5. Let -7*y**2 - 2*y + 4*y**4 + 3*y**n - 6*y**3 - 4*y**5 + 12*y**3 = 0. Calculate y.
-1, -1/4, 0, 1, 2
Let k(i) = -2*i**2 - 2*i - 1. Let b(m) = -m**2 + m - 1. Let n(g) = -b(g) + k(g). Factor n(o).
-o*(o + 3)
Let -2/7*g**4 - 8/7*g**3 + 0 - 4/7*g - 10/7*g**2 = 0. Calculate g.
-2, -1, 0
Let p(r) = -4*r**2 - 17*r. Let z(m) = -12*m**2 - 50*m. Let b(a) = 14*p(a) - 5*z(a). Find h such that b(h) = 0.
-3, 0
Let n be 2/8 + -4 + 4. Let c(m) be the second derivative of 1/40*m**5 - 1/12*m**3 + 0 - 1/24*m**4 + n*m**2 - m. Find f, given that c(f) = 0.
-1, 1
Let d(x) be the third derivative of 0*x + 1/210*x**5 - 1/28*x**4 + 3*x**2 + 2/21*x**3 + 0. Solve d(a) = 0.
1, 2
Let f(h) be the first derivative of -h**8/672 - h**7/105 - h**6/40 - h**5/30 - h**4/48 - h**2/2 + 2. Let g(p) be the second derivative of f(p). Factor g(c).
-c*(c + 1)**4/2
Let z(j) be the first derivative of j**3/9 - j**2/3 + j/3 - 8. Factor z(c).
(c - 1)**2/3
Suppose h + 0*h = 0. Suppose -k + h + 1 = m, 2*k - 4 = -3*m. Factor -2/9*t**m + 0 + 0*t + 0*t**3 + 2/9*t**4.
2*t**2*(t - 1)*(t + 1)/9
Let n(k) be the third derivative of -k**7/70 + k**6/40 + k**5/20 - k**4/8 - 23*k**2. Factor n(d).
-3*d*(d - 1)**2*(d + 1)
Let f(o) = o**2 - 6*o**2 + 2 + o**3 - 2*o**2. Let c be f(7). Find y such that 8*y**3 + 0*y**3 + 7*y**c + y - y**2 = 0.
-1/2, -1/4, 0
Factor w - 2*w + 4*w + 2*w - 3*w**2 - 2.
-(w - 1)*(3*w - 2)
Let g(x) = 7*x**4 + 3*x**3 - 4*x**2 + 6*x - 6. Let j(f) = -15*f**4 - 7*f**3 + 9*f**2 - 13*f + 13. Let a(t) = -13*g(t) - 6*j(t). Determine i so that a(i) = 0.