*2. Determine x so that l(x) = 0.
-2/3, 0, 18
Let t(l) be the second derivative of l**4/21 - 6*l**3/7 - 44*l**2/7 + 37*l. Factor t(f).
4*(f - 11)*(f + 2)/7
Let a(t) be the third derivative of t**7/5460 - t**6/468 + 7*t**5/780 - t**4/52 + 4*t**3/3 - 17*t**2. Let q(u) be the first derivative of a(u). Factor q(g).
2*(g - 3)*(g - 1)**2/13
Find s, given that 583*s - 4*s**2 - 66 - 451*s - 280*s - 78 = 0.
-36, -1
Let f(r) be the second derivative of -1/300*r**5 - 5*r + 0 - 3/10*r**3 + 1/20*r**4 - 5*r**2. Let u(s) be the first derivative of f(s). Factor u(i).
-(i - 3)**2/5
Let p = -3/4790 - -19169/14370. Factor 0*y**3 + p*y + 3*y**2 - 4 - 1/3*y**4.
-(y - 3)*(y - 1)*(y + 2)**2/3
Let v(q) be the third derivative of 1/210*q**7 + 0*q + 2*q**2 - 1/30*q**5 + 1/6*q**3 + 0*q**4 + 0 + 0*q**6. Determine o so that v(o) = 0.
-1, 1
Let 248/5*b**2 + 162/5*b + 2/5*b**5 + 8 + 172/5*b**3 + 48/5*b**4 = 0. What is b?
-20, -1
Let l be 2/(-10) - (-139)/345. Let w = l + 3/23. Find z such that z**2 + w + z + 1/3*z**3 = 0.
-1
Let r(l) = 2*l**3 + l**2 - l + 1. Let i = -68 - -69. Let j(h) = -7*h**3 + 2*h**2 + 15*h + 2. Let k(b) = i*j(b) + 4*r(b). Suppose k(g) = 0. What is g?
-3, -2, -1
Let a(r) be the first derivative of r**4/3 - 104*r**3 + 12168*r**2 - 632736*r - 294. Determine p so that a(p) = 0.
78
Let j(w) = -w**3 + 1. Let r(a) = 3*a**4 + 9*a**3 - 6. Let s(g) = 6*j(g) + r(g). Factor s(b).
3*b**3*(b + 1)
Let h(n) = -n**2 - 3*n - 12. Let m(r) = r**2 + 1. Let d(f) = 2*h(f) + 4*m(f). Let d(k) = 0. What is k?
-2, 5
Determine j so that 3640*j**3 + 22*j**2 - 28*j - 2 + 40*j**2 - 3672*j**3 = 0.
-1/16, 1
Let s = 33 - 27. Suppose -4*w = -2*l + 20 + 6, -3*l - w + 4 = 0. Factor -4 - 4*j**3 - s*j**2 + 4 + l*j**4 + j**3.
3*j**2*(j - 2)*(j + 1)
Factor 2/3 - f**3 - 7/3*f + 8/3*f**2.
-(f - 1)**2*(3*f - 2)/3
Suppose v - 3*z - 1 = 0, z - 16 = -5*v + 5*z. Let r(t) be the second derivative of 0 - v*t - 1/36*t**4 + 1/120*t**5 + 1/36*t**3 + 0*t**2. Solve r(c) = 0.
0, 1
Let z(j) be the second derivative of j**5/5 + 11*j**4/3 + 62*j**3/3 + 42*j**2 + 44*j. Factor z(d).
4*(d + 1)*(d + 3)*(d + 7)
Let o = -543/7 - -3265/42. Let g(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 0*c**5 - o*c**4 + 7*c + 1/15*c**6. Find u such that g(u) = 0.
-1, 0, 1
Let k(o) be the first derivative of 10*o**3/3 + 10*o**2 - 30*o + 16. Let t(n) = 5*n**2 + 10*n - 15. Let b(m) = 3*k(m) - 7*t(m). Solve b(u) = 0.
-3, 1
Factor 19/3*v**2 - 4/3 - 16/3*v - 5/3*v**3.
-(v - 2)**2*(5*v + 1)/3
Let d(g) be the second derivative of -g**7/280 - g**6/60 + 3*g**5/40 + 5*g**3/6 - 14*g. Let i(j) be the second derivative of d(j). Factor i(r).
-3*r*(r - 1)*(r + 3)
Let f = 472 + -472. Let y(s) be the second derivative of 0*s**3 - s + 0*s**2 + 0*s**4 + 1/21*s**7 + 1/15*s**6 + 0 + f*s**5. Determine z, given that y(z) = 0.
-1, 0
Let o(l) be the first derivative of -11*l**6/270 + 2*l**5/135 - 13*l**2 - 38. Let z(j) be the second derivative of o(j). Let z(f) = 0. Calculate f.
0, 2/11
Let d(x) be the second derivative of x**6/60 + x**5/20 - 5*x**4/24 - x**3/2 - 11*x - 1. Factor d(h).
h*(h - 2)*(h + 1)*(h + 3)/2
Let m(j) be the third derivative of 0*j + 1/30*j**5 + 0 + 0*j**3 - 1/120*j**6 - 1/24*j**4 - 15*j**2. Factor m(r).
-r*(r - 1)**2
Suppose -5*k - z + 11 = -3*z, -2 = 2*k - 4*z. Let k*a**4 - 3*a**3 + 135*a**2 + 127*a**2 - 265*a**2 + 3*a**5 = 0. Calculate a.
-1, 0, 1
Let s = 550 - 19799/36. Let n(j) be the third derivative of 0*j + 0 - 1/135*j**5 + s*j**4 - 6*j**2 + 0*j**3. Solve n(q) = 0.
0, 3/2
Let d(j) = -j**2 - 10*j + 18. Let b be d(-10). Suppose 22*i - 16*i - b = 0. Factor 6/5 + 14/5*q**2 + 16/5*q + 4/5*q**i.
2*(q + 1)**2*(2*q + 3)/5
Let o(g) = 2*g**2 - 364*g - 16560. Let x(u) = -4*u**2 + 364*u + 16559. Let n(w) = 6*o(w) + 4*x(w). Determine q so that n(q) = 0.
-91
Suppose 0 - 4/15*y**2 - 2/5*y + 2/15*y**3 = 0. What is y?
-1, 0, 3
Let k(h) be the second derivative of 8/63*h**7 + 0*h**3 + 8/15*h**6 + 3/5*h**5 + 0*h**2 + 0 + 2/9*h**4 - 17*h. Factor k(v).
4*v**2*(v + 2)*(2*v + 1)**2/3
Let q(r) = 6*r**3 - 74*r**2 + 200*r. Let j(y) = 4*y**3 - 49*y**2 + 131*y. Let g(m) = -8*j(m) + 5*q(m). Find w, given that g(w) = 0.
0, 3, 8
Let a be 3 + 4*(-4)/(-8). Factor 157*g - 15*g**4 + 2*g**2 + 10*g**a - 157*g + 3*g**2.
5*g**2*(g - 1)**2*(2*g + 1)
Determine z, given that -1/5*z**2 + 2/5*z + 0 - 1/5*z**3 = 0.
-2, 0, 1
Factor 4/13*b**2 - 2/13*b + 0 - 2/13*b**3.
-2*b*(b - 1)**2/13
Let a(m) be the third derivative of 5/8*m**4 - 1/20*m**5 + 0*m + 50*m**2 + 0 - 3*m**3. What is w in a(w) = 0?
2, 3
Let p be -1 + 1 + (-22 - -26). Let o(f) be the second derivative of 1/6*f**p - 2/3*f**3 - f + 0 + 1/10*f**5 + 0*f**2. Factor o(u).
2*u*(u - 1)*(u + 2)
Let q = -514 + 518. Let v(k) be the second derivative of -k**3 - 2/5*k**6 + 0 - 17/10*k**5 - 5/2*k**q - 3*k + k**2. Factor v(i).
-2*(i + 1)**3*(6*i - 1)
Suppose 0 = 4*t - 8*t + 12. Suppose 0 = -3*w + 7*w - t*k - 13, 4*w = 2*k + 14. Factor -4/5*s - 36/5*s**2 - 109/5*s**3 - 49/5*s**5 - 126/5*s**w + 0.
-s*(s + 1)**2*(7*s + 2)**2/5
Let v(y) be the first derivative of -2*y**5/15 - y**4/6 + 2*y**3/9 + y**2/3 + 274. Let v(b) = 0. What is b?
-1, 0, 1
Let z(w) be the third derivative of 2*w**7/945 - 13*w**6/540 + 11*w**5/135 - 2*w**4/27 - w**2 - 10. Determine o so that z(o) = 0.
0, 1/2, 2, 4
Let l(x) = x**2 - 10*x - 20. Let j be l(12). Factor -20*v**2 - 225*v**j - 16*v**5 + 108*v**5 + 120*v**3 + 33*v**5.
5*v**2*(v - 1)*(5*v - 2)**2
Let l = -32526 - -32526. Find k, given that -2/19*k**3 - 2/19*k**2 + 0 + l*k = 0.
-1, 0
Let x be 1*(-6 - (-4 + 1))*7/(-7). Find u, given that 1/5*u**4 + 1/5*u + 0 + 3/5*u**2 + 3/5*u**x = 0.
-1, 0
Let q(l) = 2*l - 3. Let s be q(-10). Let v = -6 - s. Find c, given that c**2 + 0*c + 4*c**2 - v*c + 2*c = 0.
0, 3
Let k(o) be the third derivative of 2*o**7/35 + 11*o**6/40 - o**5/2 - 11*o**4/2 - 12*o**3 + 67*o**2. Factor k(u).
3*(u - 2)*(u + 2)**2*(4*u + 3)
Factor -2883/4 + 183/4*o**2 - 3/4*o**3 - 2697/4*o.
-3*(o - 31)**2*(o + 1)/4
Suppose 9/4*s**2 - 6*s - 1/4*s**3 + 5 = 0. What is s?
2, 5
Solve 72/5*o + 3/5*o**5 - 96/5 - 6*o**3 + 12*o**2 - 9/5*o**4 = 0 for o.
-2, 1, 2, 4
Let i(h) be the second derivative of -1/4*h**2 - 14*h + 1/24*h**4 - 1/40*h**5 + 1/12*h**3 + 0. Find p such that i(p) = 0.
-1, 1
Let l = -1/4151 + 4157/24906. Find n, given that 1/6*n**2 + 1/3*n + l = 0.
-1
Factor -13/6*p**3 - 56/3*p + 1/6*p**4 + 32/3 + 10*p**2.
(p - 4)**3*(p - 1)/6
Factor -26*u**4 - 2735*u**5 - 28*u**2 - 7*u**4 - 47*u**2 - 24*u + 2732*u**5 - 81*u**3.
-3*u*(u + 1)**3*(u + 8)
Factor 0*s + 1/4 - 1/4*s**2.
-(s - 1)*(s + 1)/4
Let f = 37 + -33. Factor f*g - g - 722*g**2 + 721*g**2 - 2.
-(g - 2)*(g - 1)
Let b(h) be the first derivative of -h**5 + 35*h**4/4 - 20*h**3/3 - 30*h**2 - 895. Factor b(f).
-5*f*(f - 6)*(f - 2)*(f + 1)
Let b be (45/6 - 5)*(-128)/(-30). Let h = b - 10. Find x, given that 0 + 2/3*x**3 - 2/3*x + 2/3*x**4 - h*x**2 = 0.
-1, 0, 1
Let v(l) = -3*l - 1. Let a(h) = 4*h + 1. Let q(j) = 4*a(j) + 5*v(j). Let b be q(3). Factor i + 2*i**2 - 3*i**2 - 2 + 2*i**b.
(i - 1)*(i + 2)
Suppose 5*v - 4*v + 31 = 4*i, 0 = -2*i + v + 17. Factor 3*y - 10*y**2 + 9*y**3 - 3*y**4 - 8*y**2 + 16*y**2 - i*y**2.
-3*y*(y - 1)**3
Let k(y) = -y**3 - y**2 + 1. Let w be (0 - -1 - -3)*(-2 + 1). Let d(z) = -32*z**3 + 16*z**2 - z - 4. Let p(g) = w*k(g) - d(g). Factor p(f).
f*(6*f - 1)**2
Let t(s) be the second derivative of -s**6/300 - s**5/20 - 2*s**4/15 - 5*s - 28. Find x such that t(x) = 0.
-8, -2, 0
Let i be (-8)/(-5 - (2 + -5)). Let -3*c**2 + 2*c**4 + 19 + 6*c**3 - c**i - 3 - 24*c + 4*c**2 = 0. What is c?
-4, 1
Let g(q) be the first derivative of -13/2*q**3 - 3/10*q**5 - 22 - 9*q**2 - 9/4*q**4 - 6*q. Factor g(s).
-3*(s + 1)**2*(s + 2)**2/2
Let k(r) = 6*r**4 - 7*r**5 - 4*r**3 - 17*r**2 - r - 4 + 11*r**2 + 4*r**3. Let j(i) = -i**5 - i - 1. Let d(w) = -4*j(w) + k(w). Solve d(s) = 0 for s.
-1, 0, 1
Let r(g) = -2*g + 24. Let j be r(13). Let f be 8/j*(-3)/30. Factor 0 + 0*p**3 + 4/5*p**4 + f*p - 4/5*p**2 - 2/5*p**5.
-2*p*(p - 1)**3*(p + 1)/5
Factor 2/7*i**2 - 132/7*i + 2178/7.
2*(i - 33)**2/7
Suppose 3*g + 5*f = 6*g - 13, 0 = -4*f - 20. Let w be 1 + 5 + g + (-8)/5. Factor -w*d + 4/5 - 4/5*d**2 + 2/5*d**3.
2*(d - 2)*(d - 1)*(d + 1)/5
Factor -4/5*i**4 + 38/5*i**2 - 44*i + 23/5*i**3 + 40 - 1/5*i**5.
-(i - 2)**3*(i + 5)**2/5
Suppose 200 = 2*h - 0*h. Le