 (-2 - (-14)/4)/((-51)/(-204)). Suppose 0 = 5*t + 3*y - 6, 0 = r*y - 2*y - 8. Factor -3/5*w**3 + t*w + 3/5*w**4 + 3/5*w**5 - 3/5*w**2 + 0.
3*w**2*(w - 1)*(w + 1)**2/5
Let j(l) be the third derivative of 0 + 0*l**4 + 2/15*l**5 + 0*l + 0*l**3 + 1/30*l**6 - 47*l**2. Determine y so that j(y) = 0.
-2, 0
Let l(v) be the third derivative of v**8/420 + 2*v**7/175 + v**6/75 - 2*v**5/75 - v**4/10 - 2*v**3/15 - 68*v**2. Factor l(n).
4*(n - 1)*(n + 1)**4/5
Let j(p) be the first derivative of -21/4*p**2 + 0*p + 7 + 1/2*p**3. Determine a so that j(a) = 0.
0, 7
Let w = 39 - 14. Let g = -171/7 + w. Factor 0*q**2 + 0*q**4 - 2/7*q**5 + g*q**3 - 2/7*q + 0.
-2*q*(q - 1)**2*(q + 1)**2/7
Suppose 0 = 2*h + 5 + 1. Let d = 6 + h. Factor 12 + 12*j**2 - 2*j**3 - 21*j**2 - j**d.
-3*(j - 1)*(j + 2)**2
Factor 543/7 + 3/7*g**2 - 78*g.
3*(g - 181)*(g - 1)/7
Suppose 0 = -5*s + 75 + 105. Determine o, given that 33*o**3 - s*o - 20*o**3 + 2780 - 105*o**2 + 23*o**3 - 2672 - 3*o**4 = 0.
-1, 1, 6
Let a be ((-60)/936*13)/((-1)/2). Factor a*s**2 - 1/6*s**3 - 16/3*s + 16/3.
-(s - 4)**2*(s - 2)/6
Let t(l) be the second derivative of -1/70*l**6 - 1/28*l**4 + 0*l**2 + 0 - 3/70*l**5 + 21*l + 0*l**3. Factor t(x).
-3*x**2*(x + 1)**2/7
Let z(c) be the first derivative of 5*c**4/8 - 5*c**3/6 + 19. Factor z(f).
5*f**2*(f - 1)/2
Let w = 19978 + -59926/3. Factor -4/3*u**4 + 4/3 - 8/3*u + w*u**3 + 0*u**2.
-4*(u - 1)**3*(u + 1)/3
Find a, given that a**3 - 35*a + 0*a**3 + 5 + 13 + 16*a**2 = 0.
-18, 1
Suppose 21*c - 18*c - 9*c - 2*c**3 + 6*c**2 + 2 = 0. What is c?
1
Suppose s - 34 = -32. Let q(r) be the third derivative of 0*r + 1/120*r**6 - 1/18*r**4 - 1/36*r**5 + 2/9*r**3 + 0 - 4*r**s. Factor q(l).
(l - 2)*(l + 1)*(3*l - 2)/3
Let k(r) = 15*r**3 - 8*r - 14. Let b(i) = 2*i**3 - i**2 - i - 1. Let g(p) = 14*b(p) - 2*k(p). Factor g(z).
-2*(z - 1)*(z + 1)*(z + 7)
Let p = 76 + -90. Let l = 17 + p. Determine c so that 0*c**2 - 5/7*c**5 + 0*c - 4/7*c**l + 0 + 12/7*c**4 = 0.
0, 2/5, 2
Let c(j) be the first derivative of -j**3 + 3/25*j**5 + 3/5*j**2 + 9/20*j**4 - 1/10*j**6 - 15 + 0*j. Suppose c(i) = 0. Calculate i.
-2, 0, 1
Let n = 1/45 - -263/315. Let g be 9 + -1 + 6 + (-752)/56. Factor n*s + g + 2/7*s**2.
2*(s + 1)*(s + 2)/7
Let p(a) be the second derivative of -a**7/630 + a**6/180 + a**5/5 + 49*a**4/12 + 45*a. Let x(i) be the third derivative of p(i). Factor x(b).
-4*(b - 3)*(b + 2)
Factor 44/9 - 86/9*j + 40/9*j**2 + 2/9*j**3.
2*(j - 1)**2*(j + 22)/9
Let z = 102 + -87. Let v be (-5)/(-75)*z/5. Factor 3/5*a + 1/5 + 3/5*a**2 + v*a**3.
(a + 1)**3/5
Let r be (12/(-21))/((-4)/14). Factor -8*s + r*s - 4*s + 3*s**3 + s - 6*s**2.
3*s*(s - 3)*(s + 1)
Suppose 2*y + 18 - 56 = 0. What is n in 127*n**2 + 7 - 131*n**2 - y + 16*n = 0?
1, 3
Factor -16*x + 15*x**3 + 9*x**4 - 382 + 0*x**2 + 382 - 8*x**2.
x*(x - 1)*(3*x + 4)**2
Let b(a) be the first derivative of 2*a**5/15 - 19*a**4/6 - 200. Factor b(m).
2*m**3*(m - 19)/3
Let o = -4 + 6. Let p be (-4)/30 - (-34)/255. Factor o*n**3 + p + 12 - 3*n**2 + 4 - n**2 - 8*n.
2*(n - 2)**2*(n + 2)
Let h(b) be the third derivative of -b**5/90 + 4*b**4/9 - 55*b**3/9 - 476*b**2. Factor h(i).
-2*(i - 11)*(i - 5)/3
Let g be 0/(((-8)/1)/(-4)). Suppose -4*n - 17 = -3*c, -n + g*n = -3*c + 11. Factor -21*m**4 - c*m**5 + 0*m**5 - 3*m**2 - 14*m**3 - m**3 - 6*m**5.
-3*m**2*(m + 1)**2*(3*m + 1)
Let s(w) be the first derivative of w**6/2 + 18*w**5/5 - 9*w**4/2 - 44*w**3 - 153*w**2/2 - 54*w + 156. Factor s(d).
3*(d - 3)*(d + 1)**3*(d + 6)
Let -1 + 22*g**3 - 23*g**2 - 24760*g + 24760*g + 1 + g**4 = 0. What is g?
-23, 0, 1
Let n = 2 + 1. Let j = 1895/836 - 7/418. Factor -j - z**n + 1/2*z**2 - 1/4*z**4 + 3*z.
-(z - 1)**2*(z + 3)**2/4
Let b(n) be the third derivative of -3*n**6/260 + n**5/195 + 3*n**4/52 - 2*n**3/39 + 491*n**2. Let b(h) = 0. Calculate h.
-1, 2/9, 1
Suppose n + 5*n + 23 + 4*n**2 + 13 + 13*n + 21*n = 0. Calculate n.
-9, -1
Let l(c) be the third derivative of c**7/1155 - 7*c**6/660 - 17*c**5/330 - 3*c**4/44 + 251*c**2. Factor l(i).
2*i*(i - 9)*(i + 1)**2/11
Factor -23 + 43 - 48*w + 4*w**2 + 24.
4*(w - 11)*(w - 1)
Let n(y) be the third derivative of 1/330*y**5 + 2*y**2 + 1/66*y**4 + 0 + 0*y + 1/33*y**3. Factor n(r).
2*(r + 1)**2/11
Let u(i) = i - 7. Let a be u(8). Suppose 0 = y - 2*y + a. Solve -8*p - y + 6*p - 3*p**4 - p**2 + 2*p**3 + 5*p**2 = 0 for p.
-1, -1/3, 1
Let l(h) = -38*h**2 - 23*h + 17. Let v(t) = 36*t**2 + 24*t - 18. Let b(a) = -3*l(a) - 4*v(a). What is i in b(i) = 0?
-7/5, 1/2
Let v(a) be the third derivative of a**7/13860 - a**6/1980 + 2*a**4/3 - 7*a**2. Let m(b) be the second derivative of v(b). Solve m(n) = 0 for n.
0, 2
Let r(j) = 23*j - 1260. Let z be r(55). Suppose 2/17*w**z + 0*w + 2/17*w**4 - 2/17*w**2 - 2/17*w**3 + 0 = 0. Calculate w.
-1, 0, 1
Let u(s) be the third derivative of -s**8/336 + s**7/105 + s**6/120 - s**5/30 + 30*s**2. Find m, given that u(m) = 0.
-1, 0, 1, 2
Let g(f) be the second derivative of f**7/8820 + f**6/1260 + f**5/420 + 5*f**4/6 + 5*f. Let x(w) be the third derivative of g(w). Factor x(c).
2*(c + 1)**2/7
Let x = -15 + 19. Let y(v) be the third derivative of 0*v + 1/4*v**x + 0 - 1/10*v**5 + 1/60*v**6 - 1/3*v**3 + v**2. Factor y(i).
2*(i - 1)**3
Let d(n) be the first derivative of -n**4/4 - 14*n**3/3 + n**2/2 + 14*n - 10. Let t be d(-14). Solve 16*q**3 + t*q**2 + 2*q**2 + 20*q**4 + 12*q**4 = 0 for q.
-1/4, 0
Let u(c) be the second derivative of -2*c**7/105 - 2*c**6/15 + 7*c**5/25 + c**4/3 - 4*c**3/5 + 12*c. Solve u(r) = 0 for r.
-6, -1, 0, 1
Let y be (8 - (-4)/(-4))*1. Factor 11*p**3 + y + 3 - 15*p - 7*p**2 + 2*p**2 + 4*p**3 - 5*p**4.
-5*(p - 2)*(p - 1)**2*(p + 1)
Let g be (-2)/3 + (-1035)/(-1350). Let c(k) be the third derivative of -g*k**4 + 5*k**2 - 3/5*k**3 - 1/150*k**5 + 0 + 0*k. Let c(b) = 0. What is b?
-3
Let g = 3662 + -62246/17. Solve 14/17*z**5 - 46/17*z**4 + 0 + 0*z - g*z**2 + 40/17*z**3 = 0.
0, 2/7, 1, 2
Let d(x) be the third derivative of -x**7/70 - x**6/80 + 3*x**5/20 + 4*x**2 + 3. Solve d(r) = 0 for r.
-2, 0, 3/2
Suppose 3*z = 3*v - 27, -7*v - 2*z = -9 - 0. Factor -2/5*r**v + 0 - 4/5*r**2 - 2/5*r.
-2*r*(r + 1)**2/5
Let u(t) be the second derivative of 2/3*t**4 - 2/15*t**6 + 4/3*t**3 - 8*t - 3/10*t**5 + 0*t**2 + 1/21*t**7 + 0. Factor u(c).
2*c*(c - 2)**2*(c + 1)**2
Suppose -3*s + 4*h + 318 = 2*h, s - 3*h = 113. Suppose -s = 4*f - 112. Factor -3*d**3 - 20/3*d**f - 13/3*d - 2/3.
-(d + 1)**2*(9*d + 2)/3
Let d(m) be the third derivative of m**5/240 + 5*m**4/6 + 200*m**3/3 + 3*m**2 - 21. Factor d(o).
(o + 40)**2/4
Suppose 12*j = 10*j + 160. What is s in -22*s**2 - 45 + 131*s**2 - 120*s + 111*s**2 - j*s**3 = 0?
-1/4, 3/2
Let c be -1 - (-58 - (0 - 0)). Factor c*d + 12 - 16 - 63*d - 2*d**2.
-2*(d + 1)*(d + 2)
Let k(s) = 2*s**2 - 17*s - 5. Suppose 5*u - 73 = -28. Let n be k(u). Factor -2*r**2 + 3*r**3 - 2*r**n + 1/2*r + 0 + 1/2*r**5.
r*(r - 1)**4/2
Let z(t) be the second derivative of 0 + 1/18*t**3 - 4*t - 1/3*t**2 + 1/36*t**4. Factor z(n).
(n - 1)*(n + 2)/3
Determine u, given that 112 - 24*u**2 + 108*u + 4*u**2 + 16*u**2 = 0.
-1, 28
Let i(h) be the second derivative of -13*h**4/54 + 8*h**3/9 + 4*h**2/9 - 2*h - 59. Determine m so that i(m) = 0.
-2/13, 2
Let d(i) = 9*i**2 - 109*i + 12. Let m be d(12). Let k(w) be the first derivative of 3 + m*w + 0*w**3 - 4/25*w**5 - 1/5*w**4 + 0*w**2. Factor k(s).
-4*s**3*(s + 1)/5
Suppose g + 696 = 5*q + 21, 526 = 4*q + 2*g. Let k be -1 - ((-9)/(-72) - q/48). Factor 4/3 - k*l**2 - l**3 + 4/3*l.
-(l - 1)*(l + 2)*(3*l + 2)/3
Let m(a) be the first derivative of 4/7*a - 1/14*a**4 - 4/21*a**3 + 1/7*a**2 + 2. Factor m(j).
-2*(j - 1)*(j + 1)*(j + 2)/7
Let p(s) = -22*s**2 - 45*s - 12. Let l(j) = 30 + 0 + 315*j + 155*j**2 + 61 - 6. Let u(r) = 2*l(r) + 15*p(r). Let u(t) = 0. Calculate t.
-2, -1/4
Let q(w) be the second derivative of w**4/6 + 13*w**3/3 - 30*w**2 + 3*w + 9. Solve q(z) = 0 for z.
-15, 2
Solve 0 - 3*z - 69/4*z**2 - 33/8*z**3 = 0 for z.
-4, -2/11, 0
Let u(r) be the first derivative of -3*r**5/20 - 3*r**4/2 + 48*r**2 + 38*r - 13. Let d(b) be the first derivative of u(b). Factor d(n).
-3*(n - 2)*(n + 4)**2
Let q be (2 - (-54)/(-24)) + 17/4. Suppose -4*b + b = i - 18, -3*i + 29 = q*b. Determine f so that -1/5*f**4 - 4/5*f**2 - 4/5*f**i + 0*f + 0 = 0.
-2, 0
Let y(h) = -h + 2. Let l be y(0). Suppose 288 = -4