 be the second derivative of -j**6/120 + j**5/20 - j**4/8 + j**3/6 - j**2/8 + 8*j. Let x(p) = 0. What is p?
1
Let r be -3 - (2160/(-104))/6. Factor 0 + 0*t**3 - r*t**2 + 2/13*t**4 + 4/13*t.
2*t*(t - 1)**2*(t + 2)/13
Let c be 7/4 + 3/12. Let n(o) be the third derivative of 0*o + 0 - 1/24*o**3 + 1/240*o**5 - o**c + 0*o**4. Determine u so that n(u) = 0.
-1, 1
Let w(r) be the third derivative of -8*r**5/105 - 2*r**4/7 - 3*r**3/7 + 11*r**2. Factor w(a).
-2*(4*a + 3)**2/7
Factor i**5 + i**5 - 2*i**4 - i**3 - 3*i**5 + 0*i**4.
-i**3*(i + 1)**2
Let r(x) be the third derivative of 5*x**2 + 1/70*x**7 - 1/20*x**6 + 0*x**3 + 1/20*x**5 + 0*x**4 + 0 + 0*x. Factor r(s).
3*s**2*(s - 1)**2
Let i be 27/(-36) + (-1)/((-4)/4). Factor 0*j**3 - 1/2*j**4 + 1/2*j**2 - 1/4*j + i*j**5 + 0.
j*(j - 1)**3*(j + 1)/4
Solve 32/5 + 2/5*d**2 - 16/5*d = 0.
4
Let p(g) be the second derivative of -g**7/315 + 11*g**6/225 - 6*g**5/25 + 8*g**4/45 + 64*g**3/45 + 24*g. Factor p(f).
-2*f*(f - 4)**3*(f + 1)/15
Let d(l) be the second derivative of 0 + 10*l + 1/15*l**5 + 1/18*l**4 + 1/45*l**6 + 0*l**2 + 0*l**3. Factor d(i).
2*i**2*(i + 1)**2/3
Let k be (-20)/40*(-12 - 1) - 2. Suppose 21/2*c**4 + 4*c + 0 - k*c**5 + c**3 - 10*c**2 = 0. Calculate c.
-1, 0, 2/3, 2
Suppose 0 = -4*r + 3*f + 5 + 12, -5*f = -r + 17. Solve 4*t + 0*t + r*t**2 - 10*t = 0.
0, 3
Let n(s) be the second derivative of s**5/180 - s**4/108 - 5*s**3/54 - s**2/6 + 5*s. Factor n(t).
(t - 3)*(t + 1)**2/9
Let f be -2 + (-387)/(-42) - 12/(-42). Determine x, given that 9/2*x**4 - 3/2*x - f*x**2 + 3/2*x**3 + 3 = 0.
-1, 2/3, 1
Let h(z) be the second derivative of z**5/70 + z**4/42 - z**3/21 - z**2/7 + 2*z. Factor h(c).
2*(c - 1)*(c + 1)**2/7
Determine r so that 0 + 0*r**3 - 2/5*r**5 + 0*r - 8/5*r**2 + 6/5*r**4 = 0.
-1, 0, 2
Let r = -2 - -2. Let p = r - -2. Factor 0*h**2 - 7 + 6 - p*h**2 + 5 + 2*h.
-2*(h - 2)*(h + 1)
Let i = 703/2 - 1748/5. Let p = i - 7/5. Factor -2 - p*r**2 - 2*r.
-(r + 2)**2/2
Let o(z) = 2*z**2 - 9*z + 7. Let h be o(8). Let b be (-5)/6*h/(-70). Factor 3/4*i + b - 3/4*i**2 - 3/4*i**3.
-3*(i - 1)*(i + 1)**2/4
Let y be 0 + 1 - (0 + 1). Suppose -6*u + 11*u - 25 = y. What is f in -6/5*f + 2/5 - 6/5*f**4 + 4/5*f**2 + 4/5*f**3 + 2/5*f**u = 0?
-1, 1
Factor 2*j**2 - j**2 + 4*j**2 - 7*j**2 + 2*j**4.
2*j**2*(j - 1)*(j + 1)
Let o(r) = -5*r**5 + 13*r**4 + 8*r**3 - 11*r**2 - 13*r. Let p(a) = 2*a**5 - 7*a**4 - 4*a**3 + 6*a**2 + 6*a. Let m(v) = 6*o(v) + 13*p(v). Factor m(h).
-h**2*(h + 2)**2*(4*h - 3)
Let r(t) be the first derivative of -t**5/150 + t**4/20 - 2*t**3/15 - 3*t**2/2 + 8. Let j(o) be the second derivative of r(o). Factor j(i).
-2*(i - 2)*(i - 1)/5
Let p(g) be the second derivative of g**4/30 - 2*g**3/5 + 9*g**2/5 - 9*g. Factor p(q).
2*(q - 3)**2/5
Let o = 907/602 + -2/301. Find m such that 0 - o*m**4 + 3/2*m**2 + 0*m - 3/2*m**3 + 3/2*m**5 = 0.
-1, 0, 1
Let w(h) = -2*h**2 + 2*h + 4. Suppose -g - 7 + 3 = 0. Let t(y) = -2*y**2 + 3*y + 5. Let z(b) = g*t(b) + 6*w(b). Suppose z(m) = 0. What is m?
-1, 1
Suppose 17*s - 15*s - 34 = 0. Suppose -2*g + 21 = s. Let -11/2*t**4 + 9/2*t**5 + 0*t**g + 0*t + 0 + t**3 = 0. Calculate t.
0, 2/9, 1
Let r(f) = -3*f**2 - f. Let p be r(1). Let t be 1/((4 - -3) + p). Determine n, given that 0 - 1/3*n**3 + 0*n + t*n**2 = 0.
0, 1
Let y be (34/(-8))/((-6)/24). Let f = 17 - y. Factor 2/5*d**2 + 2/5*d**4 + 0*d - 4/5*d**3 + f.
2*d**2*(d - 1)**2/5
Suppose 16 = 2*r + 2*r. Suppose 3*z = -r*c + 23, -5*z + 0*c = -4*c - 17. Solve w**3 - 3*w**4 - w**z + w**2 - 4*w**3 + 7*w**4 - w**4 = 0 for w.
0, 1
Let o = -3 - -5. Suppose 15 = 4*p - j, 0*p + 6 = -o*p - 4*j. Factor 1/3 + 0*g**2 + 2/3*g - 1/3*g**4 - 2/3*g**p.
-(g - 1)*(g + 1)**3/3
Suppose -3*x + 2*x = 0. Factor x*k**5 + 0*k**5 - 2*k**3 + 6*k**5 - 4*k**4.
2*k**3*(k - 1)*(3*k + 1)
Let q = 531/2 + -264. Let -3/4*h + 0*h**3 + 3/2*h**4 - q*h**2 + 0 + 3/4*h**5 = 0. Calculate h.
-1, 0, 1
Let n(w) = -6*w**2 + 3*w + 3. Let v(d) = -7*d**2 + 4*d + 3. Let g(i) = 6*n(i) - 5*v(i). Factor g(r).
-(r - 1)*(r + 3)
Solve 2/7*s**3 + 6/7*s**2 + 0 + 0*s = 0 for s.
-3, 0
Let v(i) be the third derivative of -1/60*i**5 + 0 + 0*i + 1/480*i**6 + 5/96*i**4 - 1/12*i**3 - 6*i**2. Determine r, given that v(r) = 0.
1, 2
Suppose 5*b + 4*j = -6, 3*j + 0*j = b - 14. Let c(p) be the third derivative of 0*p**3 + 0 + p**b + 0*p + 1/240*p**5 + 1/96*p**4. Factor c(m).
m*(m + 1)/4
Let w(c) be the third derivative of -c**8/84 - 8*c**7/105 - 2*c**6/15 + 2*c**5/15 + 5*c**4/6 + 4*c**3/3 - 10*c**2. Factor w(j).
-4*(j - 1)*(j + 1)**3*(j + 2)
Suppose -86 = -10*g - 56. Factor -4/7 + 0*f**2 + 6/7*f - 2/7*f**g.
-2*(f - 1)**2*(f + 2)/7
Let a(d) be the third derivative of -d**7/2016 - 7*d**6/2880 - d**5/240 + d**4/24 - d**2. Let i(w) be the second derivative of a(w). Find z such that i(z) = 0.
-1, -2/5
Let o(c) be the first derivative of 5 + 3/2*c**2 - 6*c + c**3. Determine a so that o(a) = 0.
-2, 1
Let z(o) = o**5 - o**4 + o**3 + o**2 + o + 1. Let i(u) = 25*u**5 + 123*u**4 + 197*u**3 + 157*u**2 + 57*u + 5. Let h(y) = i(y) + 3*z(y). Factor h(x).
4*(x + 1)**4*(7*x + 2)
Let 19*o**2 + 4*o**3 + 2*o**2 + 3*o**2 = 0. What is o?
-6, 0
Let c(h) = -h**2 - 5*h - 1. Let r be c(-2). Let a(l) be the second derivative of 0 + l + 0*l**2 - 1/6*l**4 - 1/20*l**r - 1/6*l**3. Factor a(x).
-x*(x + 1)**2
Let m(l) be the second derivative of -1/24*l**3 + 1/5*l**6 + 0 + 0*l**2 - 1/80*l**5 + 6*l - 2/21*l**7 - 1/8*l**4. Find c such that m(c) = 0.
-1/4, 0, 1
Let s be (3 + -2 + -3)/1. Let x be (s/(-3)*3)/1. Factor 1/3*t + t**x + 0 + 2/3*t**3.
t*(t + 1)*(2*t + 1)/3
Let v(i) be the second derivative of -4*i**2 + 7*i + 0 - 10*i**3 - 21/2*i**4 - 49/20*i**5. Determine g, given that v(g) = 0.
-2, -2/7
Let l be -2 + 33/(1 - -2). Let g be (6/l)/(7/3). Let 4/7*z**2 - 2/7*z**4 - 2/7*z**5 - 2/7 - g*z + 4/7*z**3 = 0. What is z?
-1, 1
Let d(f) = 6*f + 141. Let x be d(-23). Factor -12/7*o**2 - 15/7*o - 6/7 - 3/7*o**x.
-3*(o + 1)**2*(o + 2)/7
Let r(h) be the third derivative of 1/15*h**3 + 1/300*h**6 + 1/20*h**4 + 1/50*h**5 + 0*h + 2*h**2 + 0. Find u, given that r(u) = 0.
-1
Let p(d) = 5*d**5 + 24*d**4 + 18*d**3 + 4*d**2 + 5. Let w(m) = -7*m**5 - 36*m**4 - 27*m**3 - 6*m**2 - 8. Let s(l) = -8*p(l) - 5*w(l). Factor s(r).
-r**2*(r + 1)**2*(5*r + 2)
Let f(l) be the first derivative of 3*l**5/5 + 3*l**4/4 - 3*l**3 - 3*l**2/2 + 6*l - 3. Factor f(z).
3*(z - 1)**2*(z + 1)*(z + 2)
Let b be (-18)/(-81) - -8*(-8)/(-198). Determine n so that 0*n - 2/11*n**2 + 0 - b*n**3 + 0*n**4 + 8/11*n**5 = 0.
-1/2, 0, 1
What is c in -10*c**2 + 8*c + 2*c**3 - c**3 + 2*c**2 + c**3 = 0?
0, 2
Let l(o) be the third derivative of o**7/1050 + o**6/120 + 7*o**5/300 + o**4/40 + 5*o**2. Solve l(p) = 0 for p.
-3, -1, 0
Let n be 33/22 + 3/(-2). Let j be 4 + -4 + (2 - n). Solve 2/7*v**4 + 0 + 4/7*v**3 + 0*v + 2/7*v**j = 0 for v.
-1, 0
Suppose -3*z - 2 = -2*f + 5, -3 = -2*f - z. Suppose 3*t + 11 = 6*t + l, 5*t - 20 = -f*l. Factor -50/3*n**t - 14/3*n**4 - 38/3*n**3 - 2/3*n**5 - 8/3 - 32/3*n.
-2*(n + 1)**3*(n + 2)**2/3
Factor 0 + 0*o - 1/3*o**3 + 2/3*o**2.
-o**2*(o - 2)/3
Let h = 56/3 + -18. Let v(z) = 2*z**2 + 3*z. Let q be v(-2). Factor -h + 2/3*c**q - 2/3*c**3 + 2/3*c.
-2*(c - 1)**2*(c + 1)/3
Let w be 2/(-6)*1 - -1. Let u be ((-6)/15)/(6/(-20)). What is n in -u*n + 0*n**2 - 2/3 + w*n**4 + 4/3*n**3 = 0?
-1, 1
Let j(c) be the first derivative of 1/12*c**3 - 3 + 1/2*c**2 + c. Find s such that j(s) = 0.
-2
Let j(d) be the second derivative of -1/3*d**3 + d + 0 - 1/10*d**5 + 1/3*d**4 + 0*d**2. Let j(f) = 0. Calculate f.
0, 1
Suppose 5*i**3 + 10274*i + 5*i**4 - 5*i**2 - 5*i**5 - 10274*i = 0. Calculate i.
-1, 0, 1
Let w(k) = 449*k**4 + 181*k**3 - 208*k**2 + 28*k + 8. Let t(a) = -150*a**4 - 60*a**3 + 69*a**2 - 9*a - 3. Let x(n) = 8*t(n) + 3*w(n). Factor x(s).
3*s*(s + 1)*(7*s - 2)**2
Let i be -1*(-9)/(-3) - -6. Find y, given that 3 - 2*y**2 - i + y**3 = 0.
0, 2
Let s be (-5)/(-5) - 9/(-1). Let d be ((-25)/s)/(1/(-2)). Determine v so that -4*v**5 + 0*v**d + 2*v**5 + 2*v**4 = 0.
0, 1
Let n be -1*(2 - 3) - -2. Let -3*h - 8*h**3 + 3 + h**2 + 3*h**4 - 3*h**5 - 8*h**2 + 14*h**n + h**2 = 0. Calculate h.
-1, 1
Determine n, given that -6/5*n + 0 + 2/5*n**2 = 0.
0, 3
Suppose 4*h + 2*m - 8 = 10, 4*h - 2*m = 6. Let t be (-5)/h*(-72)/48. Factor 1 - 11/2*k**2 - t*k - 2*k**3.
-(k + 1)*(k + 2)*(4*k - 1)/2
So