*3 - 7*b**2 + 5*b + 27. Let a be w(5). Solve -1/6*z**a - 2/3 + 2/3*z = 0.
2
Let n(l) be the second derivative of -l**5/8 - 355*l**4/8 - 25205*l**3/4 - 1789555*l**2/4 - 3*l - 32. Solve n(s) = 0 for s.
-71
Factor -8978/11 - 2/11*l**2 + 268/11*l.
-2*(l - 67)**2/11
Factor 1/8*u**4 - 1/4 - 1/8*u**3 - 3/8*u**2 + 5/8*u.
(u - 1)**3*(u + 2)/8
Let 4*y**5 + 22*y**3 + 1394*y**2 - 120*y + 14*y**4 + 2*y**5 - 1432*y**2 - 72 - 4*y**5 = 0. Calculate y.
-3, -2, -1, 2
Factor 45368/5*c - 2/5*c**4 - 22044/5*c**2 - 22898/5 - 424/5*c**3.
-2*(c - 1)**2*(c + 107)**2/5
Let a be ((-20)/6)/(275/(-165)). Factor 6/11*d**a + 0 + 2/11*d**3 + 0*d.
2*d**2*(d + 3)/11
Suppose 5*t - 2 = -3*x, -5*t = -4*x + 2 + 24. Find v, given that -19*v**2 + 14*v**4 + 19*v**2 - 129*v**3 + 49*v**x + 12*v = 0.
-2/7, 0, 1/3, 2
Let v be 16/12*11/22. Factor 2/3*g**3 - 2/3*g**5 + v*g**2 + 0 + 0*g - 2/3*g**4.
-2*g**2*(g - 1)*(g + 1)**2/3
Let k be -1*4*(-15)/20. Let m(q) be the second derivative of 0*q**5 - 1/12*q**4 + 5*q + 1/4*q**2 + 1/60*q**6 + 0*q**k + 0. Let m(t) = 0. What is t?
-1, 1
Let k(c) be the second derivative of c**5/60 + c**4/4 + 23*c**3/18 + 5*c**2/2 - 181*c. Determine j, given that k(j) = 0.
-5, -3, -1
Let q(s) = 38*s + 798. Let g be q(-21). Determine d, given that 3/8*d**4 + 0 + 3/8*d**2 + g*d + 3/4*d**3 = 0.
-1, 0
Let f(y) = 14*y**4 + 71*y**3 - 34*y**2 - 17*y - 17. Let x(t) = -5*t**4 - 24*t**3 + 11*t**2 + 6*t + 6. Let r(i) = -6*f(i) - 17*x(i). Let r(b) = 0. Calculate b.
0, 1, 17
Let u(a) be the first derivative of -a**6/60 + 9*a**5/25 - 57*a**4/40 - 212*a**3/15 + 336*a**2/5 + 2304*a/5 - 10. Factor u(g).
-(g - 8)**3*(g + 3)**2/10
Let l(h) be the first derivative of -4/5*h**5 - 2*h**2 + 22 + 10/3*h**3 - 1/2*h**4 + 0*h. Factor l(o).
-2*o*(o - 1)*(o + 2)*(2*o - 1)
Let b = -70 - -72. Factor 6 + n**b - 10 + 2*n + 4.
n*(n + 2)
Let x(u) be the first derivative of 0*u + 1/300*u**6 - 1/30*u**4 + 1/150*u**5 + 6 + 0*u**3 - 3/2*u**2. Let b(h) be the second derivative of x(h). Factor b(n).
2*n*(n - 1)*(n + 2)/5
Suppose 30 = -1139*c + 1145*c. Let z(w) be the third derivative of -1/60*w**6 - 1/30*w**c + w**2 + 0*w + 1/6*w**4 + 0*w**3 + 0. Solve z(v) = 0 for v.
-2, 0, 1
Let m be (6 + 6)*(1137/54 + -21). Factor -44/3*k - m*k**2 - 242/3.
-2*(k + 11)**2/3
Let x = 71 - 42. Let r = 31 - x. Factor -14/3*a**5 + 0*a**r + 0 + 0*a - 4/3*a**4 + 0*a**3.
-2*a**4*(7*a + 2)/3
Let n(o) be the third derivative of 0*o**4 + 0*o**6 - 6*o**2 + 1/14*o**3 + 0*o + 0 - 1/70*o**5 + 1/490*o**7. Factor n(u).
3*(u - 1)**2*(u + 1)**2/7
Let q(k) be the first derivative of -2*k**5/45 + 5*k**4/6 - 8*k**3/3 - 4*k**2/9 + 32*k/3 + 504. Suppose q(h) = 0. Calculate h.
-1, 2, 12
Let w(s) be the third derivative of 33*s**2 + 0 - 5/144*s**4 - 1/360*s**5 - 1/9*s**3 + 0*s. Find m, given that w(m) = 0.
-4, -1
Let j(c) = 4 - 2*c**2 - c**3 - 2*c**2 + 0*c**3 - 3*c**2. Let d be j(-7). Determine f so that -3*f**3 + f**2 - 3*f**2 - 29*f**d + 14*f**4 + 14*f**4 = 0.
-2, -1, 0
Suppose 0 = -5*o - 2*x + 20, -4*o + 4*x = x + 7. Suppose 0 = o*q - 3 - 1. Factor -8*g**2 - 24*g + 18*g**2 + 16*g**2 + q*g**4 - 12*g**3 + 8.
2*(g - 2)**2*(g - 1)**2
Suppose 0 = 4*i - 2*v + 6*v - 36, 3*i - 3*v - 9 = 0. Suppose -14*u = -11*u - i. Determine s, given that -2 - 8*s - 4*s**u + 2 + 12 = 0.
-3, 1
Let c(m) be the first derivative of -5/6*m**6 - 20 + 20/3*m**3 + 25/6*m**4 - 2/3*m**5 + 5/6*m**2 - 10/3*m. Find b, given that c(b) = 0.
-1, 1/3, 2
Let u(h) be the third derivative of h**5/60 - h**4/6 - h**3/3 + 6*h**2. Let v be u(5). What is j in -2*j**v + 23*j**3 + 27*j**2 + 8*j + j - 3*j = 0?
-1, -2/7, 0
Let n(l) be the second derivative of l**6/50 + 27*l**5/100 + 2*l**4/5 + 47*l. Solve n(k) = 0 for k.
-8, -1, 0
Let a = -109 - -111. Let n be ((-1)/(-2))/((-2)/(-152)). Factor -37*o**a + n*o**2 + 2*o - 4*o.
o*(o - 2)
Factor 18/17*k + 2/17*k**3 - 12/17*k**2 - 8/17.
2*(k - 4)*(k - 1)**2/17
Let p(n) = 4*n - 47. Let x be p(11). Let r be (15/(-36)*4)/(7/x). Factor -18/7*a**2 - a + 6/7 - r*a**3.
-(a + 1)*(a + 3)*(5*a - 2)/7
Suppose 2/3*q**4 - 2/3*q**2 + 0 - 4/3*q**3 + 4/3*q = 0. Calculate q.
-1, 0, 1, 2
Let j(h) be the third derivative of 0*h - 11*h**2 + 0 + 1/24*h**6 + 0*h**3 + 5/3*h**4 + 1/2*h**5. Factor j(i).
5*i*(i + 2)*(i + 4)
Let d(s) be the second derivative of -1/3*s**3 + 0 + 1/30*s**4 - 6/5*s**2 + 22*s. Solve d(u) = 0.
-1, 6
Let h(z) = 0*z**3 + 5*z**3 - 7 + 1 - 9*z**2 + 3*z**4 - 5*z + 8*z. Let r(q) = 2*q**4 + 5*q**3 - 9*q**2 + 4*q - 5. Let f(b) = -3*h(b) + 4*r(b). Factor f(t).
-(t - 2)*(t - 1)**3
Let j be 202/404*0/1. Let k(b) be the second derivative of j*b**2 + 0*b**3 - 1/70*b**5 - 1/147*b**7 + 0*b**4 - 2/105*b**6 + 0 - 6*b. Factor k(s).
-2*s**3*(s + 1)**2/7
Let o(z) be the first derivative of -z**4/34 + 2*z**3/51 + 5*z**2/17 + 6*z/17 - 401. Let o(q) = 0. What is q?
-1, 3
Let q(m) be the second derivative of -2*m**7/63 + 2*m**6/15 + m**5/15 - 11*m**4/9 + 8*m**3/3 - 8*m**2/3 - 101*m. Determine d so that q(d) = 0.
-2, 1, 2
Let m(g) = 10*g - 68. Let y(z) = 4*z - 49. Let c be y(14). Let j be m(c). Find w, given that 2/5*w**j + 10 - 4*w = 0.
5
Let d(l) = -l**3 - l**2 + l + 6. Let r(b) = 8*b**3 + 32*b**2 - 30*b - 60. Let k(g) = -10*d(g) - r(g). Factor k(q).
2*q*(q - 10)*(q - 1)
Suppose -u + 6 = -5*b + 2*b, 3*u + 2*b = 29. Suppose -u + 21 = 3*r. Factor -3*s**4 - 3*s**2 + 12*s**2 - 6*s + 3*s**r - 3*s**4.
-3*s*(s - 1)**2*(s + 2)
Let g = 3793/4 - 948. Factor 5/4*v**2 + 3/4*v**3 + 1/2*v + 0 - g*v**4 - 1/4*v**5.
-v*(v - 2)*(v + 1)**3/4
Let z(r) be the first derivative of -r**3/12 + 131*r**2/2 - 17161*r + 522. Suppose z(s) = 0. Calculate s.
262
Let r be (62/36*-3 - (-5)/1)*-9. Suppose 0 + r*x**2 + 1/3*x = 0. Calculate x.
-2/9, 0
Let b(h) = 3*h + 3*h**2 + 159 - h**2 - 156. Let x be b(-2). Factor 5 - 3*j**2 + x*j + 2*j - 4*j + 1.
-3*(j - 2)*(j + 1)
Let q(t) = 8*t**2 + 3*t + 1. Let g(p) = -90*p**2 - 32*p - 10. Let s(j) = 6*g(j) + 68*q(j). Factor s(c).
4*(c + 1)*(c + 2)
Factor -10/7*s**3 + 0 - 2/7*s**4 - 8/7*s**2 + 0*s.
-2*s**2*(s + 1)*(s + 4)/7
Suppose 5*a = 3*a + 6. Let w be (-18)/(-90) - (-9)/5. Let 3*o**w + 5*o**a + 2*o + o**2 - 3*o**3 = 0. Calculate o.
-1, 0
Suppose -19 = 5*o - 34. Determine v, given that -3/4*v + 0 - o*v**3 - 15/4*v**2 = 0.
-1, -1/4, 0
Let w(o) = -3*o**2 + 19*o - 2. Let y be w(6). Let t be (12/21)/(y/28). Factor 14/3*f**3 + 10/3*f - 2/3 - 6*f**2 - 4/3*f**t.
-2*(f - 1)**3*(2*f - 1)/3
Let w(r) = 2*r**4 + 7*r**3 - 39*r**2 - 7*r - 14. Let k(q) = -q**4 - 3*q**3 + 19*q**2 + 3*q + 6. Let o(f) = -7*k(f) - 3*w(f). Factor o(h).
h**2*(h - 4)*(h + 4)
Let h(f) be the second derivative of f**6/120 + 7*f**5/80 + f**4/6 - 2*f**3/3 - f + 76. Let h(x) = 0. What is x?
-4, 0, 1
Let v(s) be the third derivative of 0*s - 1/168*s**4 - 1/840*s**6 - 28*s**2 + 1/210*s**5 + 0 + 0*s**3. Let v(f) = 0. What is f?
0, 1
Let m(q) = 5*q**3 - 6*q - 23. Let y(u) = -14*u**3 + u**2 + 17*u + 68. Let w(t) = -17*m(t) - 6*y(t). Let l(g) be the first derivative of w(g). Factor l(o).
-3*o*(o + 4)
Let i(h) = 18*h**3 - 10*h**2 - 2*h. Let n(v) = -73*v**3 + 39*v**2 + 7*v. Let u be 1 - -1 - (-14 - -7). Let r(l) = u*i(l) + 2*n(l). Solve r(w) = 0 for w.
-1/4, 0, 1
Suppose -70 = 5*b - p, 0 = -5*b + 3*p - 40 - 30. Let k = 14 + b. Factor k*r - 3*r**2 + 0*r + 5*r**2 - 2*r.
2*r*(r - 1)
Suppose 4*b = -5*j + 396, -5*j + 3*j = 3*b - 297. Let w be 1/(-3) + 249/b. Suppose 160/11*i - 98/11*i**3 + 238/11*i**2 + w = 0. What is i?
-2/7, 3
Let w(v) = -2*v**2 - 10*v - 8. Let x(y) = -4*y**2 + y**2 - 18*y + 2*y - 3*y - 16. Let g(p) = p + 11. Let s be g(0). Let f(r) = s*w(r) - 6*x(r). Solve f(c) = 0.
-1, 2
Let z(h) be the second derivative of -4*h + 20/21*h**4 + 0 + 2/7*h**2 + h**3. Suppose z(d) = 0. What is d?
-2/5, -1/8
Let y(m) be the first derivative of 5*m**6/6 - 11*m**5 + 95*m**4/2 - 260*m**3/3 + 60*m**2 - 197. Solve y(j) = 0.
0, 1, 2, 6
Let j(z) = -5*z**3 - 20*z**2 + 100*z - 5. Let w(q) = 3*q**3 + 11*q**2 - 50*q + 2. Let i(p) = -2*j(p) - 5*w(p). Solve i(c) = 0 for c.
-5, 0, 2
Suppose -92 = 9*y - 110. Solve 1/3*t**y - 1/3 + 0*t = 0 for t.
-1, 1
Let c(v) = 2*v**2 + 669*v + 1370. Let a(q) = -4*q**2 - 1672*q - 3424. Let d(b) = 5*a(b) + 12*c(b). Factor d(p).
4*(p - 85)*(p + 2)
Let y be (32/40)/(6/15). Let g(r) = r**3 - r - 1. Let l(s) = -s**4 + 3*s**3 + s**2 - 3*s - 2. Let w(t) = y*g(t) - l(t). Factor w(h).
h*(h - 1)**2*(h + 1)
Le