ctor 3*v**3 - 3*v**2 - 7*v**3 + 16 - k*v**2 - 2*v**2.
-4*(v - 1)*(v + 2)**2
Let i be ((-5)/(-165)*-17 + 13/39)*-1. Factor 0*u**2 - 4/11*u**3 + 2/11*u**4 + 4/11*u - i.
2*(u - 1)**3*(u + 1)/11
Let x be (-68 - -1)*(0 - 3/6). Let l = x + -31. Factor 7/2*b + 1 + l*b**3 + 1/2*b**4 + 9/2*b**2.
(b + 1)**3*(b + 2)/2
Let j = -38/579 + 1813/1158. Factor 0 + 45/8*h**2 + 3/2*h - j*h**4 + 9/2*h**3.
-3*h*(h - 4)*(2*h + 1)**2/8
Let y be -6 - (-35)/14 - (15/(-3) + 1). Determine n so that -y + 2*n**2 + 0*n = 0.
-1/2, 1/2
Let w(b) = b**2 + 16*b - 18. Let p be w(-18). Solve -8 - 5*n + 5*n**3 - 3*n**2 + 0*n + p*n**2 - 7 = 0 for n.
-3, -1, 1
Let -64/3*c - 32*c**3 + 0 - 128/3*c**2 - 4/3*c**5 - 32/3*c**4 = 0. What is c?
-2, 0
Let f(s) be the first derivative of 1/8*s**4 + 6*s - 1/6*s**3 - 1/30*s**6 + 0*s**2 + 3/40*s**5 + 1. Let b(n) be the first derivative of f(n). Factor b(c).
-c*(c - 2)*(c + 1)*(2*c - 1)/2
Factor 20/3 + 25/3*j + 5/3*j**2.
5*(j + 1)*(j + 4)/3
Suppose -4*c + 3*y = -0*y - 74, 5*y + 90 = 5*c. Suppose -c = -5*u - s, -4*u = -3*s - 5 - 11. Factor 0*b**4 + 4*b**4 - 4*b**3 - u*b + 8 + 8*b - 12*b**2 + 0*b.
4*(b - 2)*(b - 1)*(b + 1)**2
Let n be 3/2*(-3 - (-107)/(-3)). Let j = n + 60. Factor -1/3 - 2/3*b - 1/3*b**j.
-(b + 1)**2/3
Let w(a) be the third derivative of -a**7/168 - 19*a**6/144 + 7*a**5/12 - 11*a**4/8 - 43*a**2. Let p(g) be the second derivative of w(g). Factor p(x).
-5*(x + 7)*(3*x - 2)
Let t(k) be the first derivative of 2*k**3/15 + 236*k**2/5 - 748. Factor t(u).
2*u*(u + 236)/5
Let a be (-6)/(-27) - (-4060)/(-45). Let w be 1/(-5) - 63/a. Suppose -w*z**2 + 0 + 1/2*z = 0. Calculate z.
0, 1
Suppose -3*i + 1186*p = 1191*p - 1, 4*p = -5*i + 6. Let k = 1 + -1. Factor k + 2/9*s + 8/9*s**i.
2*s*(4*s + 1)/9
Suppose 4*y + 40 = 5*u, 4*y + 20 + 0 = 0. Let o(d) be the first derivative of -3/2*d + 3/8*d**2 + 3 + 1/2*d**3 - 3/16*d**u. Solve o(l) = 0.
-1, 1, 2
Factor 40*c**3 + 0 - 68/3*c**4 - 16*c**2 + 4*c**5 - 32/3*c.
4*c*(c - 2)**3*(3*c + 1)/3
Let h be 193/(-6) - 1*1/(-2). Let f = 32 + h. Let f*b - b**2 + 0 - 4/3*b**3 = 0. Calculate b.
-1, 0, 1/4
Let z be (25/(-5))/10*0/(-9). Let t be (0/(-2))/(4/2). Let -3/5*h**2 - 9/5*h**3 + z + 3/5*h**4 + t*h + 9/5*h**5 = 0. Calculate h.
-1, -1/3, 0, 1
Solve 3/5*t**4 - 12/5*t + 0 + 27/5*t**2 - 18/5*t**3 = 0.
0, 1, 4
Let o(c) = 1. Let z = 55 + -54. Let p(s) = -s**2 - s - 6. Let a(k) = z*p(k) + 6*o(k). Factor a(n).
-n*(n + 1)
Factor -1/4*x**4 + 15/4 + 1/4*x**5 - 47/4*x - 9/2*x**3 + 25/2*x**2.
(x - 3)*(x - 1)**3*(x + 5)/4
Let a(k) = -k**4 - k**2 - k - 2. Let z(y) = 18*y**4 + 30*y**3 + 54*y**2 + 35*y + 26. Let h(n) = 44*a(n) + 4*z(n). Factor h(b).
4*(b + 1)**2*(b + 2)*(7*b + 2)
Let o(a) be the second derivative of -1/15*a**6 - 1/5*a**5 + 0*a**3 + 1/21*a**7 + 18*a + 0*a**2 + 0*a**4 + 0. Factor o(v).
2*v**3*(v - 2)*(v + 1)
Suppose 163*c - 175*c + 48 = 0. Let y(j) be the first derivative of -5/2*j**2 - 1/12*j**c + 10 + 7/9*j**3 + 3*j. Factor y(l).
-(l - 3)**2*(l - 1)/3
Let y(u) = -3*u**2 - 9*u - 9. Let d(p) = 10*p + 7 + 3 + 3*p**2 - p. Let g(x) = -3*d(x) - 4*y(x). Factor g(m).
3*(m + 1)*(m + 2)
Let f(i) be the third derivative of -i**6/480 + 31*i**5/240 - 59*i**4/96 + 29*i**3/24 + 3*i**2 + 32*i. Factor f(t).
-(t - 29)*(t - 1)**2/4
Let o(a) = -a**3 - 5*a**2 + a - 9. Let p be o(-5). Let k be (-21)/p + 0 + -1. Factor k*u - 1/2 + u**2.
(u + 1)*(2*u - 1)/2
Let s be 12*(((-27)/6)/(-1) - 0). Suppose 56*n - 6 = s*n. Determine d, given that 3/5*d**2 + 1/5*d**5 - 3/5*d**4 + 0 + 1/5*d**n - 2/5*d = 0.
-1, 0, 1, 2
Let u(w) = 2*w - 6. Let n be u(7). Let k(x) = x - 10. Let r be k(12). Let 15*l**2 - n*l**3 - l**3 - 12*l**r = 0. Calculate l.
0, 1/3
Let i be 5*-1 + -19 + (48 - 21). Factor -8/3 + 8/3*b + 2*b**2 - 4/3*b**i - 2/3*b**4.
-2*(b - 1)**2*(b + 2)**2/3
Let h(a) be the second derivative of -1/54*a**4 - 8/27*a**3 + 0 - 16/9*a**2 - 5*a. Solve h(o) = 0.
-4
Let l(i) be the first derivative of i**4/4 + i**3/15 - i**2/2 - i/5 - 33. What is c in l(c) = 0?
-1, -1/5, 1
Factor 30*d**4 - 2*d**3 - 12*d**2 - 28*d**4 + 0*d**3.
2*d**2*(d - 3)*(d + 2)
Let y = 10 + -20. Let l = -4 - y. Find u such that u**2 - 2*u**3 - 5*u**3 + l*u**3 = 0.
0, 1
Let x(z) be the first derivative of -z**6/3 + 2*z**5 - z**4/2 - 34*z**3/3 + 22*z**2 - 16*z + 27. Find h such that x(h) = 0.
-2, 1, 4
Let f(n) be the first derivative of n**8/10080 - n**6/360 + n**5/90 - n**4/48 + 8*n**3/3 + 9. Let b(d) be the third derivative of f(d). Factor b(k).
(k - 1)**3*(k + 3)/6
Let p(n) = 14*n**3 - 2*n**2 - n + 2. Let g be p(1). Suppose -5*s = -2 - g. Suppose 0 + 1/4*b**4 - 1/4*b**s + 0*b + 0*b**2 = 0. What is b?
0, 1
Suppose -3 - 8 = -4*w - 5*i, 0 = 5*w - 4*i - 65. Factor -59*n**2 + 22*n**2 - w + 22*n**2 + 21*n + 3*n**3.
3*(n - 3)*(n - 1)**2
Suppose 0*z + 12 = 3*z, 5*d - 280 = 5*z. Factor 45*k**2 + 11*k + d*k**3 - 5*k + 65*k**4 + 4*k - 40*k**4.
5*k*(k + 1)**2*(5*k + 2)
Let s = 1069 - 1067. Find p such that 8/9*p**3 - 2/9*p**4 + 0 - 2/3*p**s + 0*p = 0.
0, 1, 3
Let j(l) be the third derivative of -l**5/150 + 23*l**4/20 + 85*l**2. Factor j(s).
-2*s*(s - 69)/5
Factor 36/5*c + 3/5*c**4 - 6/5*c**2 - 24/5 - 9/5*c**3.
3*(c - 2)**2*(c - 1)*(c + 2)/5
Let t(b) = 4*b - 4. Let v be t(2). Let j = 1 + v. Factor -j + 4*o - 4*o**2 + 1 - 12*o.
-4*(o + 1)**2
Factor -106/7*z**2 + 0 - 104/7*z - 2/7*z**3.
-2*z*(z + 1)*(z + 52)/7
Suppose 0 = -5*l - 6 + 16. Factor 8*w**4 + 12*w**l + 15*w**2 - 4*w + 10*w**3 - 41*w**2.
2*w*(w - 1)*(w + 2)*(4*w + 1)
Let k(s) be the third derivative of -8/5*s**3 + 0*s + 0 - 9*s**4 - 12*s**2 - 135/4*s**6 - 27*s**5. What is t in k(t) = 0?
-2/15
Suppose 3 = 3*p, 3*w + 6*p = -0*w + 21. Let o(n) be the first derivative of -1/10*n**w + 1 + 0*n + 3/8*n**4 - n**2 + 0*n**3. Factor o(s).
-s*(s - 2)**2*(s + 1)/2
Suppose -4*r + 2*s - 28 = r, 2*r - 3*s = -20. Let n be 1/(4/144) + r. Factor -24*x**2 - 4*x**3 - 12*x - n + 11*x - 47*x.
-4*(x + 2)**3
Find n such that 2/5*n**3 + 2*n - 4/5 - 8/5*n**2 = 0.
1, 2
Suppose -63*v**2 - 189 + 161 - 2*v**4 - 74*v - 3*v**2 - 22*v**3 = 0. Calculate v.
-7, -2, -1
Let 3/4*y - 51/8*y**4 + 63/8*y**3 - 33/8*y**2 + 15/8*y**5 + 0 = 0. Calculate y.
0, 2/5, 1
Factor -1/2*x**5 - 97/2*x**3 + 100 + 8*x**4 + 139*x**2 - 190*x.
-(x - 5)**2*(x - 2)**3/2
Let t be (-8)/16*0/(-2). Solve 0 - 3/4*h**2 - 3/8*h**3 + t*h = 0 for h.
-2, 0
Determine b so that -19*b + 37 - 7*b**2 - 7 + 11 - 23*b + 8*b**2 = 0.
1, 41
Factor 8807 - 15*x**2 - 4860*x - 208*x**2 - 5*x**3 - 47*x**2 - 37967.
-5*(x + 18)**3
Let p(z) = 5*z**3 + 25*z**2 - 113*z + 83. Let f(l) = 3*l**3 + 17*l**2 - 75*l + 55. Let b = 2 - -6. Let a(v) = b*f(v) - 5*p(v). Factor a(n).
-(n - 5)**2*(n - 1)
Let b(m) be the first derivative of 3*m**4/2 + 2*m**3/3 + 3*m**2/2 - 1. Let q(v) = -7*v**3 - 2*v**2 - 2*v. Let w(x) = -2*b(x) - 3*q(x). Factor w(h).
h**2*(9*h + 2)
Let c(h) = -10*h**2 - 37*h + 8. Let s be c(-4). Let z be (2/(-12))/(s/6). What is u in -1/4*u**2 - z - 1/2*u = 0?
-1
Suppose 0 = -5*r + 20, -a - r = -2*a. Let -14*p**2 + 2 + 8*p**3 + 36*p**a + p**5 - 15*p**4 - 9*p**4 + p - 10*p**5 = 0. Calculate p.
-1, -1/3, 2/3, 1
Let c(a) be the first derivative of -1/15*a**4 + 1/45*a**6 + 2/25*a**5 - 4/15*a**3 + 6 + 1/15*a**2 + 2/5*a. Let c(d) = 0. What is d?
-3, -1, 1
Factor 2*y**2 - 48*y**2 + 43*y**2 - 8*y - 5.
-(y + 1)*(3*y + 5)
Let n = -77/90 - -25/18. Let 8/15 + 6/5*r**4 + n*r - 22/15*r**2 - 4/5*r**3 = 0. What is r?
-2/3, 1
Factor 24/5*h - 2/5*h**2 - 22/5.
-2*(h - 11)*(h - 1)/5
Let x(v) = -v**3 - 8*v**2 - 2*v - 1. Let z be x(-8). Let a = z + -12. Let 18*i**3 - 108 - 9*i - 10*i**2 + 27*i**4 + 120 - 23*i**2 - a*i = 0. Calculate i.
-1, 2/3
Let l = -400 + 404. Let p(k) be the third derivative of 0 + 0*k - 13/6*k**l - 3/10*k**6 - 8/5*k**5 - 4/3*k**3 - 2*k**2. Determine x so that p(x) = 0.
-2, -1/3
Suppose 12*v - 9*v = 75. Factor -35 - 20*z**2 - 11*z + 36*z + 5*z**3 + v.
5*(z - 2)*(z - 1)**2
Let q(i) be the second derivative of -i**4/60 + 11*i**3/30 - i**2 - 142*i. Factor q(o).
-(o - 10)*(o - 1)/5
Let i(c) be the first derivative of 12*c**5/35 - 17*c**4/14 - 2*c**3/7 + 24*c**2/7 + 8*c/7 - 85. What is l in i(l) = 0?
-1, -1/6, 2
Factor -40/3*y - 2*y**2 + 14/3.
-2*(y + 7)*(3*y - 1)/3
Let k(g) be the first derivative of -g**7/2100 + g**6/225 - g**5/100 + 2*g**3/3 + 8. Let c(u) be the third derivative of k(u). What is i in c(i) = 0?
0, 1, 3
Let f(n