2)
Let z = 0 - 0. Let c = -24 - -26. Factor -3*j + 5*j**3 - 3*j**c + z*j**3 - 6*j**3 - 1.
-(j + 1)**3
Let d(i) be the third derivative of -11/420*i**6 + 0 + 3/392*i**8 - 2/105*i**5 + 0*i**3 + 2/245*i**7 + 0*i + 1/21*i**4 + 3*i**2. Solve d(u) = 0 for u.
-1, 0, 2/3
Let c be (-224)/(-36) - (-4)/(-18). Let x(g) be the third derivative of -2*g**2 + 7/120*g**5 + 1/60*g**c - 1/12*g**3 + 0*g + 0 + 1/24*g**4. Factor x(d).
(d + 1)**2*(4*d - 1)/2
Let z(i) be the third derivative of 8*i**2 - 1/280*i**7 + 5/8*i**4 - i**3 + 0 + 0*i + 7/160*i**6 - 9/40*i**5. Find y such that z(y) = 0.
1, 2
Let z(m) be the third derivative of 0*m + 0*m**3 + 0 - 1/168*m**7 - 3/160*m**6 + 2*m**2 - 1/1344*m**8 - 7/240*m**5 - 1/48*m**4. Factor z(k).
-k*(k + 1)**3*(k + 2)/4
Suppose 0 = -o - 2*r + 7, 0*r = -o + 5*r. Let d(a) be the third derivative of -1/18*a**3 + 0*a + 1/24*a**4 + 0 - 1/60*a**o + 2*a**2 + 1/360*a**6. Factor d(n).
(n - 1)**3/3
Let x(s) be the first derivative of -s**4/8 + s**3/6 + s**2/2 - 6. Factor x(b).
-b*(b - 2)*(b + 1)/2
Suppose 1 - 11 = -5*b - 4*n, -2*b - 5*n = -4. Let x(s) be the second derivative of -b*s - 1/9*s**3 - 1/30*s**5 + 0*s**2 + 1/9*s**4 + 0. Factor x(p).
-2*p*(p - 1)**2/3
Let w(m) be the first derivative of -m**6/36 + 4*m**5/45 - m**4/36 - 2*m**3/9 + 3*m**2/2 + 2. Let s(a) be the second derivative of w(a). Factor s(y).
-2*(y - 1)**2*(5*y + 2)/3
Let 0 + 2/7*f**2 + 4/7*f = 0. Calculate f.
-2, 0
Let w(m) = 3*m - 43. Let f be w(16). Let -98/9*i**f - 154/9*i**4 + 0*i - 64/9*i**3 + 0 - 8/9*i**2 = 0. Calculate i.
-1, -2/7, 0
Let g(n) be the first derivative of 1/240*n**5 + 0*n**3 + 0*n + 1/96*n**4 + 1 - n**2. Let r(x) be the second derivative of g(x). Factor r(q).
q*(q + 1)/4
Let m(c) = -c**3 + 5*c**2 + 2*c - 3. Let u be m(6). Let t = u - -27. Determine f so that -1/3*f**3 + 0 + t*f**2 + 1/3*f = 0.
-1, 0, 1
Let d(x) = 42*x**4 - 27*x**3 + 2*x**2 + 3*x. Let y(i) = 545*i**4 - 350*i**3 + 25*i**2 + 40*i. Let w(m) = -40*d(m) + 3*y(m). Solve w(g) = 0.
0, 1/3
Let h(u) = 2*u**2 - u - 3. Let t(v) = -v**2 + v + 2. Let p(z) = -2*h(z) - 3*t(z). Let q = 2 - 3. Let o(k) = -k - 1. Let l(d) = q*p(d) + o(d). Factor l(b).
(b - 1)*(b + 1)
Suppose 2*v - 60 = 90. Let h be 4/(-14) + v/42. What is a in -h*a**2 - 1/2*a**3 - 1/2 - 3/2*a = 0?
-1
Let c(y) be the third derivative of y**6/80 - 3*y**5/20 - 15*y**4/16 - 2*y**3 + 59*y**2. Suppose c(p) = 0. Calculate p.
-1, 8
Suppose 4*d + 5 = 53. Let t be (-3)/((-9)/d) - 2. Factor -7*b**2 + t*b**3 + 10*b**2 + 0*b + b.
b*(b + 1)*(2*b + 1)
Let c = -32 - -36. Let f(w) be the third derivative of 0*w**c - 1/315*w**7 + 1/180*w**6 + 0 + 0*w**3 + 2*w**2 + 0*w**5 + 0*w. What is k in f(k) = 0?
0, 1
Factor -1 - s**2 - 11*s + 15*s - 5 + 3*s**2.
2*(s - 1)*(s + 3)
Let k be (-52)/(-14) + 2/7. Let v(p) be the second derivative of -1/6*p**k + 0*p**2 + 0 - 2*p + 1/20*p**5 + 1/6*p**3. Find d such that v(d) = 0.
0, 1
Suppose 3*o = o + 48. Suppose 6*a - 3*a - 10 = -b, 5*b = -2*a + o. Determine w so that 3*w**2 + w**3 + w**b - 3*w**2 = 0.
-1, 0
Let l(z) be the first derivative of 0*z**2 + 1 - z + 1/24*z**3 + 1/80*z**5 + 1/24*z**4. Let f(b) be the first derivative of l(b). Factor f(v).
v*(v + 1)**2/4
Let p be -6 + 4 - (-5)/(-2)*-2. Let g(k) be the first derivative of 4/15*k**5 - 5/6*k**6 + 2*k**4 - 3 - 2/9*k**p - 3/2*k**2 - 2/3*k. Solve g(f) = 0.
-1, -2/5, -1/3, 1
Let k(t) = 2*t - 4. Let o be k(3). Factor 45*j**2 + 26*j - 2*j + o + 3 + 25*j**3 - 1.
(j + 1)*(5*j + 2)**2
Let m(k) = -18*k**2 + 5*k - 1. Let r(u) = -18*u**2 + 6*u. Let v(t) = 3*m(t) - 2*r(t). Let i(o) = 53*o**2 - 10*o + 8. Let d(n) = -6*i(n) - 17*v(n). Factor d(w).
-3*(w - 1)*(4*w + 1)
Let f(m) be the third derivative of 0 - 1/480*m**6 - 1/60*m**5 - 5/96*m**4 - 1/12*m**3 + 0*m + 3*m**2. Solve f(v) = 0 for v.
-2, -1
Let h(w) be the third derivative of -w**8/840 - 2*w**7/525 + w**5/75 + w**4/60 - 8*w**2. Suppose h(v) = 0. Calculate v.
-1, 0, 1
Let g(u) be the third derivative of u**7/210 + u**6/30 + u**5/15 - 25*u**2. Factor g(p).
p**2*(p + 2)**2
Let c(m) = -m**2 - 4*m - 2. Let i be c(-2). Let x be (4/(-35))/(20/(-50)). Factor x + 2/7*s**i + 4/7*s.
2*(s + 1)**2/7
Let y be (-20)/(-6) + (-2)/6. Suppose b - y = -1. Factor -14*l**3 + 4*l**2 - 5*l**2 - 3*l**b.
-2*l**2*(7*l + 2)
Let y(h) be the second derivative of 5*h**7/42 + h**6/6 - h**5/2 - 5*h**4/6 + 5*h**3/6 + 5*h**2/2 - 38*h. Factor y(i).
5*(i - 1)**2*(i + 1)**3
Let o(d) be the first derivative of 2*d**6/105 - 6*d**5/35 + 9*d**4/14 - 9*d**3/7 + d**2/2 + 3. Let l(c) be the second derivative of o(c). Factor l(i).
2*(2*i - 3)**3/7
Let z(s) be the third derivative of s**7/70 + 3*s**6/40 + s**5/10 + 23*s**2 + 2. Suppose z(y) = 0. Calculate y.
-2, -1, 0
Let s(l) = -l**2 - 12*l + 16. Let m be s(-13). Suppose -v - r = -1, 2*v - 2*r - m*r = 9. Suppose -6/5 - 9/5*x**v + 3*x = 0. Calculate x.
2/3, 1
Suppose -3*u = 4*a - 19, a = 6*u - 3*u + 1. Let c(r) be the second derivative of 0*r**a + 1/6*r**3 - 3*r - 1/60*r**6 - 1/20*r**5 + 0 + 1/4*r**2. Factor c(w).
-(w - 1)*(w + 1)**3/2
Factor 2*p + 4*p**4 + 2*p**5 + 3*p - 7*p - 4*p**2.
2*p*(p - 1)*(p + 1)**3
Let c(h) be the second derivative of 1/12*h**4 + 0 - 1/30*h**6 + 0*h**5 + 0*h**2 - 2*h + 0*h**3. Determine t, given that c(t) = 0.
-1, 0, 1
Let -24*b - 29*b**4 - 15*b**2 + 12 + 7*b**3 + 2*b**4 + 47*b**3 = 0. Calculate b.
-2/3, 2/3, 1
Let d(t) be the second derivative of t**6/180 + t**5/120 - t**4/36 + 12*t. Suppose d(l) = 0. What is l?
-2, 0, 1
Let z be ((-7)/56)/(3/(-6)). What is f in -1/4*f**2 + z + 0*f = 0?
-1, 1
Let g(m) = m**2 + 6*m - 4. Let q be g(-7). Suppose -y + 3*l = l, 4*y - q*l - 5 = 0. Determine i, given that 10/7*i + 6/7*i**3 + 2/7 + 2*i**y = 0.
-1, -1/3
Suppose 5*z - 2 = 3*z. Factor 1 - z - 18*g - 2*g**3 - 12*g**2 + 0*g**3.
-2*g*(g + 3)**2
Suppose 2*c - 3*c = 4*v - 503, 4*v - 3*c - 491 = 0. Let i = v - 367/3. Find x, given that i*x**2 + 8/9*x + 2*x**3 + 0 = 0.
-2/3, 0
Let w(u) = 46*u - 138. Let p be w(3). Find o, given that 0*o**2 + 7/5*o**4 + p + 0*o - 2/5*o**3 = 0.
0, 2/7
Suppose -4*g + 24 = 2*g. Find b such that b**5 - 5/4*b**3 + 0 + 3/4*b**2 + 1/4*b - 3/4*b**g = 0.
-1, -1/4, 0, 1
Suppose -1/2*a**5 + 1/2*a**4 - a**2 + a**3 - 1/2*a + 1/2 = 0. Calculate a.
-1, 1
Let p = -19 - -19. Let h(q) be the second derivative of 0*q**2 + 1/40*q**5 - 1/24*q**4 + p - 1/12*q**3 - q + 1/60*q**6. Suppose h(t) = 0. Calculate t.
-1, 0, 1
Let l(j) be the third derivative of -j**5/72 - 5*j**4/36 - 5*j**3/9 + 3*j**2. Factor l(q).
-5*(q + 2)**2/6
Let u(r) be the second derivative of -2*r**7/7 + 4*r**6/15 + 3*r**5/5 - 2*r**4/3 - 9*r. Find w such that u(w) = 0.
-1, 0, 2/3, 1
Suppose 4*h = 35 - 15. Let v(b) be the first derivative of -1 + 3/4*b**4 + 1/2*b**2 + 1/5*b**h + b**3 + 0*b. Suppose v(r) = 0. Calculate r.
-1, 0
Let d(f) be the second derivative of -f**6/40 - f**5/60 + f**4/12 + f**2/2 - 6*f. Let a(l) be the first derivative of d(l). Factor a(i).
-i*(i + 1)*(3*i - 2)
Let s = -78 + 80. Let u(k) be the second derivative of -1/80*k**5 - 1/48*k**4 + 0 + 1/8*k**2 + s*k + 1/24*k**3. Factor u(c).
-(c - 1)*(c + 1)**2/4
Find b, given that 0*b + 15/7*b**4 + 3/7*b**3 + 12/7*b**5 + 0*b**2 + 0 = 0.
-1, -1/4, 0
Suppose r + 18 = 5*c, -2*c + 1 - 3 = -5*r. Factor -2/5*x - 2/5*x**2 + 0 + 2/5*x**3 + 2/5*x**c.
2*x*(x - 1)*(x + 1)**2/5
Let i be (3/36*9)/((-3)/(-2)). Let u be 1/(8/(-2 + 6)). Suppose u - 1/2*l**2 - 1/2*l + i*l**3 = 0. What is l?
-1, 1
Let p(g) = 4*g**3 + g**2 + 5*g. Let h be 140/21*(-6)/(-5). Let m(f) = -6*f**3 - 2*f**2 - 8*f. Let b(j) = h*p(j) + 5*m(j). Determine r, given that b(r) = 0.
0, 1
Let z be -1 - -1 - 3 - -7. Let r be (-6)/24 - (-13)/z. Let 3*p**2 + 0 + 2 - 2 + r*p + p**3 + 1 = 0. Calculate p.
-1
Let p be (-4)/18 + (-4)/(-18). Let o be (-12)/2*(1 - 44/36). Factor -2/3*c**2 + o*c + p.
-2*c*(c - 2)/3
Solve 10 - 77*i + 80*i + 2*i**2 - 13*i**2 + i**4 - 3*i**3 = 0.
-2, -1, 1, 5
Let c = 149 + -741/5. Factor 14/5*k**2 + 0 - 16/5*k**3 + 6/5*k**4 - c*k.
2*k*(k - 1)**2*(3*k - 2)/5
Let w be (-5)/((-10)/4) - -1. Let h = 2 + w. Factor -2*q**2 + 0 + 0*q - 25*q**h - 14*q**3 - 65/2*q**4.
-q**2*(2*q + 1)*(5*q + 2)**2/2
Factor -13/2*r**4 + 0 - 24*r**3 - 1/2*r**5 + 0*r - 18*r**2.
-r**2*(r + 1)*(r + 6)**2/2
Let n(u) = -12*u**3 - 38*u**2 - 14*u + 10. Let z = 1 - 0. Let w(x) = x**3 + x + 1. Let f(d) = z*n(d) - 2*w(d). Determine k s