5 - 8*p**5/35 - 4*p**4/21 + 16*p**3/21 + 16*p**2/7 - 17*p + 3. Factor a(w).
-2*(w - 1)*(w + 2)**4/7
Suppose 5*v - 50 = 265*t - 270*t, 0 = -3*v - 5*t + 46. Factor -25/6 - 5/6*c**v - 5*c.
-5*(c + 1)*(c + 5)/6
Solve -19/8*w**3 - 3/8*w**4 - 3/4*w**2 + 0 + 0*w = 0.
-6, -1/3, 0
Let h(t) be the third derivative of 0*t**5 - 1/15*t**6 - 2/105*t**7 + 2/3*t**3 + 0 + 10*t**2 + 1/3*t**4 + 0*t. Factor h(j).
-4*(j - 1)*(j + 1)**3
Factor 18*o - 66*o + 3*o**3 + 70*o**2 + 158*o + 2*o**3 + 135*o.
5*o*(o + 7)**2
Let f(u) be the first derivative of u**2/2 + u + 22. Let v(w) = w**2 - 4*w - 5. Let b(h) = -5*f(h) - 5*v(h). Factor b(i).
-5*(i - 4)*(i + 1)
Let q = -40 - -42. Factor -4*w**3 - 15*w**2 - q*w**2 - 7*w**2.
-4*w**2*(w + 6)
Let n = -2/819 - -47/3276. Let v(o) be the second derivative of -1/12*o**3 + 0 + 0*o**4 + 0*o**6 + 1/20*o**5 - 4*o + 0*o**2 - n*o**7. Factor v(s).
-s*(s - 1)**2*(s + 1)**2/2
Determine p, given that -13*p**3 - 4*p + 11*p**3 - 2*p**2 + 5*p**3 + 2*p**4 + p**3 = 0.
-2, -1, 0, 1
Suppose -2/9*r**3 - 92/3*r**2 - 4232/3*r - 194672/9 = 0. Calculate r.
-46
Let y(f) be the third derivative of -f**8/84 + 4*f**7/105 + f**6/30 - 2*f**5/15 + 493*f**2. What is j in y(j) = 0?
-1, 0, 1, 2
Let a = 46/111 + -1483/37. Let m = a + 43. Find h, given that -16/3*h**2 + 0 + m*h**3 - 8/3*h = 0.
-2/5, 0, 2
Let f be (14 - 425/34)*(-1)/(-18). Let t(l) be the third derivative of 0 - f*l**4 - 10*l**2 - 1/240*l**5 - 2/3*l**3 + 0*l. Find x such that t(x) = 0.
-4
Let w(v) = -22*v**2 - 197*v - 417. Let u(h) = 145*h**2 + 1380*h + 2920. Let c(n) = -3*u(n) - 20*w(n). Determine b, given that c(b) = 0.
-2, 42
Suppose -5 = -3*d + 1. Let j be d - (-6 + 6 - 1). Determine k, given that -2/5*k**2 + 0*k + 4/5*k**j - 2/5*k**4 + 0 = 0.
0, 1
Let 3 + 2*i**4 + 20*i**3 - 110*i - 6*i**3 + 97 - 6*i**2 = 0. Calculate i.
-5, 1, 2
Let o(g) be the second derivative of g**7/4200 - g**6/900 - g**3/6 - 27*g. Let t(s) be the second derivative of o(s). Factor t(c).
c**2*(c - 2)/5
Let q be (-231)/(-1530) + ((-4)/34)/1. Let o(f) be the second derivative of 0 - 1/9*f**3 + 3*f + q*f**5 + 1/3*f**2 - 1/18*f**4. Factor o(c).
2*(c - 1)**2*(c + 1)/3
Suppose 5*s - 4*m + 4 = 3*s, 0 = -5*s + m + 8. What is j in 10*j**3 + 5*j**4 + 4*j**2 - 1 + j**5 + s + 5*j + 6*j**2 = 0?
-1
Suppose 0 = 2*p - 5*x - 57, 129*p - 128*p - 4*x = 42. Factor p*m**4 + 45/4*m**2 - 9/4 + 63/4*m**3 - 3/4*m.
3*(m + 1)**3*(8*m - 3)/4
Let k(x) be the second derivative of 289*x**5/12 - 85*x**4/6 + 10*x**3/3 - 12*x**2 - 25*x. Let z(m) be the first derivative of k(m). Factor z(y).
5*(17*y - 2)**2
Let v be ((-65)/(-10) + -5)/((-9)/(-12)). Factor -4/3*b**3 + 1/3*b**4 + 2/3*b**v + 4/3*b - 1.
(b - 3)*(b - 1)**2*(b + 1)/3
Let x(n) = -n + 4. Let m be x(0). Determine q so that 8 + m - 39*q**3 + 36*q**3 - 9*q**2 = 0.
-2, 1
Factor -2/9*p**3 + 0*p**2 + 0 + 2/9*p.
-2*p*(p - 1)*(p + 1)/9
Let l(w) be the first derivative of 13*w**3/8 - 57*w**2/8 + 9*w + 138. Let l(t) = 0. Calculate t.
12/13, 2
Let p be ((-484)/33)/(4/(-6)). Suppose p = 6*o - 2. Factor 0 + 2/7*k**o + 0*k + 2/7*k**3 + 0*k**2.
2*k**3*(k + 1)/7
Let w(y) be the second derivative of -y**4/48 + 11*y**3/2 - 1089*y**2/2 + 125*y. Find f such that w(f) = 0.
66
Suppose 0 - 72/7*c**2 + 120/7*c + 6/7*c**3 = 0. What is c?
0, 2, 10
Factor 6*n**2 - n**5 - 5*n**3 - 39 - 5*n**4 - n**2 + 6*n**5 + 39.
5*n**2*(n - 1)**2*(n + 1)
Find d such that -195*d**3 + 2314*d**2 + 6*d**3 - 6*d**4 - 803*d**2 + 9*d**4 + 2458*d**2 - 27783*d = 0.
0, 21
Let k(f) = -2*f**2 - 46*f - 149. Let o be k(-4). Factor -1/5*r**o - 12/5 - 7/5*r**2 - 16/5*r.
-(r + 2)**2*(r + 3)/5
Let x(j) be the third derivative of -j**6/280 - 9*j**5/140 - 5*j**4/14 - 311*j**2. Find s such that x(s) = 0.
-5, -4, 0
Let l(u) be the second derivative of -u**4/3 - 916*u**3/3 - 104882*u**2 - 3*u - 41. Find g such that l(g) = 0.
-229
Let q(z) = z**4 + z**3 - z**2 - z - 1. Let k(b) = 4*b**4 + 90*b**3 - 92*b**2 - 2*b - 2. Let l(j) = -k(j) + 2*q(j). Factor l(n).
-2*n**2*(n - 1)*(n + 45)
Suppose 5*g = -1 + 11. Determine p, given that -11*p**2 + 14*p**g + 1 - 11 + 12*p**2 - 25*p = 0.
-1/3, 2
Let o(v) = -14*v**3 + 6*v**2 + 12*v + 88. Let g(h) = -h**3 + h + 8. Let z(m) = 12*g(m) - o(m). Solve z(c) = 0.
-1, 2
Let c(i) = -i**2 + 37*i - 249. Let h be c(28). Suppose 5*r + 2*y - 4 = 8, -r + 6 = 4*y. Factor 9/2*l**h - 9/2*l - 1 + l**r.
(l - 1)*(l + 1)*(9*l + 2)/2
Suppose 0 = -h - 4*h, 0 = 2*m + h. Let j(w) be the second derivative of -1/50*w**5 + 0 + 0*w**4 - 1/75*w**6 - 5*w + 0*w**3 + m*w**2. Factor j(b).
-2*b**3*(b + 1)/5
Let m(x) = -x**3 + x**2 - x - 1. Let l(v) = -v**5 + 14*v**4 - 23*v**3 + 10*v**2 + 2*v + 2. Let f(g) = -l(g) - 2*m(g). Factor f(u).
u**2*(u - 12)*(u - 1)**2
Let o(p) be the second derivative of p**4/108 + 28*p**3/9 + 392*p**2 - 2*p + 78. What is i in o(i) = 0?
-84
Let a(n) be the third derivative of 0*n + 2/75*n**6 + 0 - 1/525*n**7 - 36*n**2 + 4/15*n**4 - 1/3*n**3 - 3/25*n**5. Find f such that a(f) = 0.
1, 5
Suppose 5*v = 2*v + 9. Find c, given that -c - 3*c**3 + 24 + 4*c**v + 0*c - 2*c**2 - 22 = 0.
-1, 1, 2
Let i = 672/5 - 4664/35. Determine u, given that 0 - i*u**3 + 1/7*u**4 + 16/7*u**2 + 0*u = 0.
0, 4
Suppose 440*p**5 - 4*p**3 + 4*p**3 - 458*p**5 - 16*p**3 - 105*p**4 + 29*p**4 = 0. Calculate p.
-4, -2/9, 0
Let y(t) be the first derivative of -3*t**5/80 + t**4/8 + 8*t + 10. Let f(k) be the first derivative of y(k). Find h such that f(h) = 0.
0, 2
Let q(w) be the first derivative of -w**4 - 1/5*w**5 + 1 - 4/3*w**3 + 0*w + 0*w**2. What is i in q(i) = 0?
-2, 0
Let l(x) be the second derivative of 0*x**2 - 16*x + 0 - 2/3*x**3 + 1/3*x**4. Factor l(d).
4*d*(d - 1)
Let h be (4/(-3))/(1/(-3)). Suppose -4*w - h*z = -w - 23, -z + 6 = w. Factor -w + 9/2*o - 7/2*o**2.
-(o - 1)*(7*o - 2)/2
Let a = 5929/1080 + -148/27. Let t(j) be the third derivative of 0*j + 0 + 1/60*j**5 + 5*j**2 + 1/24*j**4 - 1/6*j**3 - a*j**6. Factor t(d).
-(d - 1)**2*(d + 1)
Let c = 41 - 36. Let l be (-3 + c/2)/(7/(-8)). Factor -6/7*w**2 + 0 + l*w + 2/7*w**3.
2*w*(w - 2)*(w - 1)/7
Let x(y) = y**2 + 7*y - 12. Let m be 6/(15/(-9) - -1). Let a be x(m). Factor b**3 - 3*b**4 - a*b**3 - 5*b**2 + 2*b**2 - b**3.
-3*b**2*(b + 1)**2
Let g be (-368)/32 + 11 - (-2 + (-6)/4). Solve -4/5*t**g - 24/5*t**2 - 16/5 - 36/5*t = 0.
-4, -1
Suppose -f - 104*b - 7 = -103*b, b = 5*f - 7. Factor f + 4/11*h**2 + 2/11*h**3 + 2/11*h.
2*h*(h + 1)**2/11
Let b(x) be the first derivative of -14/55*x**5 + 5/22*x**4 + 0*x - 9 + 4/33*x**3 + 0*x**2. Factor b(f).
-2*f**2*(f - 1)*(7*f + 2)/11
Let o = -34 - -49. Let w be ((-9)/6)/(o/(-3) - -2). Factor 0 + 3/2*z - w*z**2.
-z*(z - 3)/2
Suppose -5*z = 2*t - 37, -2*t - 38 = -4*t - 4*z. Let t*k**5 - 23*k**5 + 4*k**3 - 2*k**3 = 0. What is k?
-1, 0, 1
Let q(l) = -l**3 + 14*l**2 + 14*l + 23. Let h be q(15). Factor -h*i**3 - 24*i + 20*i**2 - 456 + 10*i**2 + 448.
-2*(i - 2)**2*(4*i + 1)
Let g(r) = -6*r**4 + 10*r**3 + 44*r**2 - 12*r - 12. Let k(a) = -7*a**4 + 9*a**3 + 44*a**2 - 15*a - 13. Let p(v) = -3*g(v) + 4*k(v). Suppose p(j) = 0. What is j?
-2, -2/5, 1, 2
Let s(a) be the second derivative of -3*a**4/28 + 139*a**3/42 - 30*a**2/7 + 415*a. Factor s(x).
-(x - 15)*(9*x - 4)/7
Suppose z - 15*z = -5*z + 7*z. Factor 0*d**2 - 4/11*d**3 + 0 + z*d - 18/11*d**5 - 2*d**4.
-2*d**3*(d + 1)*(9*d + 2)/11
Solve -132*i**4 - 69/2*i + 3*i**2 + 291/2*i**3 + 24*i**5 - 6 = 0 for i.
-1/4, 1, 4
Let l be 2 - 2/2 - 10227/(-28). Let d = 373 - l. Suppose d*k**4 + 21/4*k**3 - 27/4*k**2 - 27/4*k**5 + 3/2*k + 0 = 0. What is k?
-1, 0, 1/3, 2/3, 1
Let m be 136 - (-2 - 16/4 - -3). Factor -5*r**3 - 162 - 65*r**2 + 97*r - 337*r - m + 121.
-5*(r + 1)*(r + 6)**2
Let a(i) = -13*i**2 - 5*i - 2. Let c be a(-5). Let x = -302 - c. Factor -2/3*q - 2*q**2 + x.
-2*q*(3*q + 1)/3
Let s(d) be the third derivative of -d**4/24 + 2*d**3/3 + 13*d**2. Let i be s(-2). Factor -15*h**2 - 7*h**5 - 3*h**3 - 6*h + 3*h**4 - i*h**3 + 10*h**5.
3*h*(h - 2)*(h + 1)**3
Suppose 31*m - 85 = 14*m. Let p(g) be the second derivative of -1/120*g**6 - 1/24*g**3 + 0 + g + 1/80*g**m + 1/48*g**4 + 0*g**2. Factor p(r).
-r*(r - 1)**2*(r + 1)/4
Let p(c) be the third derivative of 361*c**5/60 + 475*c**4/12 + 625*c**3/6 - 1093*c**2. Factor p(l).
(19*l + 25)**2
Let p = 24 + 17. Let u = p - 41. Factor 0*y**3 - 1/3 + 2/3*y**2 - 1/3*y**4 + u*y.
-(y - 1)**2*(y + 1)**2/3
Let s(i