e of 0*p + 0*p**5 - b*p**6 + 2 + 1/10*p**4 + 0*p**2 + 0*p**3. Factor t(l).
-2*l**3*(l - 1)*(l + 1)/5
Let y = 5 - 5. Suppose y = j - 4 - 1. Factor 3 - o**3 - o**2 - 3*o**5 - 3 + 4*o**j + o**4.
o**2*(o - 1)*(o + 1)**2
Let o = -281 - -283. Factor -1/5 + 0*p + 1/5*p**o.
(p - 1)*(p + 1)/5
Let m(l) = -6*l**3 + 320*l**2 - 1294*l + 14. Let d(z) = -z**3 + 64*z**2 - 259*z + 3. Let f(b) = 14*d(b) - 3*m(b). Solve f(k) = 0 for k.
0, 8
Factor 0*x + 0 + 5*x**3 - 5/3*x**4 + 0*x**2.
-5*x**3*(x - 3)/3
Let u(m) = -17*m + 1. Let y = -1 + 0. Let r be u(y). Factor 5*b - 4*b**4 + 20*b**4 + 0*b**3 - 9*b**5 + 2 + 4*b**3 - r*b**2.
-(b - 1)**3*(b + 1)*(9*b + 2)
Suppose -r - f - 11 = -4*r, -8 = r + 2*f. Factor 3 - 3 + x**2 - r*x**3 - 2*x**2 - x**4.
-x**2*(x + 1)**2
Let p = -3 + -3. Let c be p/21 + 48/21. Factor -1/3*u**c - 1/3 - 2/3*u.
-(u + 1)**2/3
Let s be (6/20*-1)/((-75)/125). Determine t so that 2*t + s + 3/2*t**2 = 0.
-1, -1/3
Let l be (3/6)/((-1)/(-10)). Suppose 2*s = -2*n + 8, 4 = -0*s + l*s + n. Factor -2/9*r**3 + 0*r + s - 2/9*r**4 + 2/9*r**5 + 2/9*r**2.
2*r**2*(r - 1)**2*(r + 1)/9
Let w(y) be the first derivative of -5 + 8/3*y - 4/3*y**2 + 2/9*y**3. Factor w(l).
2*(l - 2)**2/3
Let r(c) = -15*c**4 - 18*c**3 - 9*c**2 - 15*c. Let f(j) = 7*j**4 + 9*j**3 + 5*j**2 + 7*j. Let q(g) = -9*f(g) - 4*r(g). Factor q(l).
-3*l*(l + 1)**3
Let m(x) be the third derivative of -1/40*x**6 - 1/70*x**7 + 7*x**2 + 0*x**5 + 0*x**3 + 0*x**4 + 0 + 0*x. Find y such that m(y) = 0.
-1, 0
Let j(m) be the second derivative of m**7/84 + m**6/20 + m**5/20 - m**4/12 - m**3/4 - m**2/4 + m. Find t, given that j(t) = 0.
-1, 1
Let l(i) = 2*i**2 + i. Suppose 0 = -4*x - 4*w + 16, 0 = 3*x - 4*w - 3 + 12. Let f be l(x). Find z such that -f*z + 0*z**4 + z**4 - 1 + z + 2*z**3 = 0.
-1, 1
Let d(l) = l**2 + 7*l - 9. Let i be d(-8). Let w(b) = 3*b**3 - 27*b**2 + 12*b. Let a(q) = q**2. Let u(g) = i*w(g) - 15*a(g). Factor u(m).
-3*m*(m - 2)**2
Let j(k) be the third derivative of -k**7/105 + k**6/30 + 2*k**5/15 - 2*k**4/3 + 6*k**2. Suppose j(s) = 0. What is s?
-2, 0, 2
Let a(f) be the third derivative of -f**8/840 - f**7/105 - f**6/36 - f**5/30 - 5*f**3/6 + 2*f**2. Let w(h) be the first derivative of a(h). Factor w(y).
-2*y*(y + 1)**2*(y + 2)
Let f(k) be the third derivative of 0*k - 3*k**2 + 0 - 1/180*k**5 - 1/720*k**6 - 1/144*k**4 + 0*k**3. Factor f(r).
-r*(r + 1)**2/6
Let a(x) = -2 - 2*x + 3 - 5*x**2 + 3 + 2*x**3 + 3*x. Let g(j) = -5*j**3 + 14*j**2 - 3*j - 11. Let o(i) = 11*a(i) + 4*g(i). Suppose o(m) = 0. Calculate m.
-1, 0, 1/2
Let k be (-4)/6 + 136/222. Let p = k + 41/74. Factor 0 + l**3 - 7/4*l**2 - p*l.
l*(l - 2)*(4*l + 1)/4
Let g be 2*((-2)/6)/(7/(-21)). Let w = 29/3 + -55/6. Find c, given that 1/2*c**3 + 1/2*c**g - 1/2 - w*c = 0.
-1, 1
Let z(l) be the second derivative of 3*l**7/35 + 11*l**6/50 - 3*l**5/10 - 3*l**4/4 + 2*l**3/5 + 6*l**2/5 - 5*l. Suppose z(t) = 0. What is t?
-2, -1, -1/2, 2/3, 1
Find j such that 1/4*j**5 + 0*j + 0 + 1/4*j**2 + 3/4*j**3 + 3/4*j**4 = 0.
-1, 0
Let -1/2*i**4 + 1/2*i**3 + 1/6*i**5 + 0 - 1/6*i**2 + 0*i = 0. Calculate i.
0, 1
Suppose -w + 2 = 3. Let l be w/(-3) + 3/(-9). Find k, given that -1 + 1 + k + k**2 + l*k = 0.
-1, 0
Let v = 19 + -17. Let 0 + 2/5*k + 4/5*k**v = 0. What is k?
-1/2, 0
Suppose 5*g = -2*o + 1 + 4, -3*o = 4*g - 11. Let d be (-6)/(-3)*g/(-3). Solve 2/3 - 4/3*i + d*i**2 = 0 for i.
1
Let p be ((-3)/9)/(2/(-4)). Solve p*m**2 + 0 + 2/3*m**5 + 0*m + 2*m**3 + 2*m**4 = 0.
-1, 0
Let a be (-2472)/(-312) - (-1 - -4). Suppose 16/13*t**3 + a + 2/13*t**5 + 32/13*t**2 - 12/13*t**4 - 96/13*t = 0. Calculate t.
-2, 2
Factor -4/3*s - 8/3*s**2 - 2/9 - 20/9*s**3 - 2/3*s**4.
-2*(s + 1)**3*(3*s + 1)/9
Let p(i) = i**3 - i**2 - i + 1. Let c(t) = -2*t**3 + 2*t + t - 3*t**3 - t**3 - 3. Let l(f) = c(f) + 3*p(f). Find h, given that l(h) = 0.
-1, 0
Let a = 2476/3 - 824. What is o in 2/3 + 4/3*o**3 - 2*o - 2*o**4 + 2/3*o**5 + a*o**2 = 0?
-1, 1
Determine s so that -2/3*s**4 + 8*s + 4*s**3 - 8/3 - 26/3*s**2 = 0.
1, 2
Let v = -11 - -11. Suppose v*h - 8 = -4*h. Factor 2/7*d**3 + 2/7*d + 0 - 4/7*d**h.
2*d*(d - 1)**2/7
Let w(n) be the first derivative of n**7/840 + n**6/360 - n**5/120 - n**4/24 - 5*n**3/3 + 3. Let a(h) be the third derivative of w(h). Solve a(r) = 0 for r.
-1, 1
Find v such that -34/9*v - 10/9*v**2 - 4/3 = 0.
-3, -2/5
Let y(c) = -2*c**4 - c**2 + c + 1. Let t(o) = -19*o**4 - 9*o**3 + 12*o**2 - 2*o + 9. Let g(f) = -4*t(f) + 36*y(f). Find u, given that g(u) = 0.
-11, 0, 1
Let q(y) = 14*y - 17. Let i(j) = -5*j + 6. Let z(f) = 17*i(f) + 6*q(f). Let k(r) = 3*r**2 + r - 6. Let s(n) = k(n) - 2*z(n). Factor s(t).
3*(t - 1)*(t + 2)
Suppose -28/5*z**3 + 0 - 16/5*z**4 - 8/5*z**2 + 4/5*z = 0. What is z?
-1, 0, 1/4
Let n(q) be the third derivative of q**8/2184 - 2*q**7/1365 - q**6/390 + 4*q**5/195 - 7*q**4/156 + 2*q**3/39 - 38*q**2. Suppose n(p) = 0. Calculate p.
-2, 1
Let v(s) be the first derivative of -7*s**6/10 - 48*s**5/25 + 9*s**4/20 + 16*s**3/5 + 6*s**2/5 + 5. Let v(d) = 0. What is d?
-2, -1, -2/7, 0, 1
Let t(h) be the second derivative of -h**7/6300 + h**4/12 - 3*h. Let q(g) be the third derivative of t(g). Let q(d) = 0. What is d?
0
Suppose 2*w = -3*w + 75. Let r be 4/2*w/10. Solve 2*h**3 + 3*h**5 - 21 - 8*h**r + 3*h + 21 = 0 for h.
-1, 0, 1
Let w(v) = -v + 14. Let b be w(10). Factor -b*h**3 + h**3 + h + 2*h**3.
-h*(h - 1)*(h + 1)
Let f(r) = -7*r**2 - r + 12 + 17*r**3 - 16*r**2 - 5. Let g(n) = 11*n**3 - 15*n**2 - n + 5. Let z(k) = 5*f(k) - 7*g(k). Let z(m) = 0. Calculate m.
0, 1/4, 1
Let l(k) be the first derivative of -k**3/4 + 10. Factor l(i).
-3*i**2/4
Let d = 79 + -77. Solve 2*k**4 + 0 + 18/7*k**3 + 2/7*k + 4/7*k**5 + 10/7*k**d = 0 for k.
-1, -1/2, 0
Let b be 6/(-21) + 166/(-56). Let i = b - -19/4. Solve -1/2*r**3 - i*r + 3/2*r**2 + 1/2 = 0.
1
Suppose -9*m + 27 = -9. Let w(u) be the third derivative of u**2 + 0*u**3 + 0*u + 0 + 0*u**m + 1/30*u**5 + 0*u**6 - 1/105*u**7. Solve w(j) = 0.
-1, 0, 1
Let t(q) be the second derivative of -q**7/189 - 11*q**6/135 - 23*q**5/45 - 5*q**4/3 - 3*q**3 - 3*q**2 + 24*q. Determine i, given that t(i) = 0.
-3, -1
Let f(z) be the second derivative of -27*z**8/5600 - z**7/140 + 4*z**6/225 - z**5/75 - z**4/6 - 4*z. Let u(o) be the third derivative of f(o). Factor u(q).
-2*(q + 1)*(9*q - 2)**2/5
Let l(k) be the second derivative of -3*k**5/20 - k**4/2 - k**3/2 - k. Factor l(u).
-3*u*(u + 1)**2
Factor 10/11*g**2 - 8/11*g - 2/11.
2*(g - 1)*(5*g + 1)/11
Let q(r) = r**3 - 7*r**2 + 11*r - 28. Let g be q(6). Factor 1/2 - 1/2*y - 1/2*y**g + 1/2*y**3.
(y - 1)**2*(y + 1)/2
Let k(o) be the third derivative of o**8/672 + 2*o**7/105 + o**6/10 + 17*o**5/60 + 23*o**4/48 + o**3/2 - 7*o**2. Solve k(a) = 0.
-3, -2, -1
Let v(k) = -4*k**5 - 3*k**4 + 12*k**3 + 11*k**2 + 4*k + 2. Let a(j) = j**4 - j - 1. Let m(w) = -2*a(w) - v(w). Factor m(l).
l*(l - 2)*(l + 1)**2*(4*l + 1)
Let i(h) be the third derivative of h**5/360 - h**4/24 + h**3/4 - 9*h**2. Solve i(z) = 0.
3
Let x(v) = 2*v - 13. Let f = 29 - 21. Let q be x(f). Factor 4/7*n**2 - 2/7*n + 4/7*n**q - 2/7 - 2/7*n**5 - 2/7*n**4.
-2*(n - 1)**2*(n + 1)**3/7
Let t(n) be the third derivative of n**5/150 - n**4/60 - 5*n**2. Let t(r) = 0. Calculate r.
0, 1
Let j(h) = 2*h**2 + 20*h - 20. Let r be j(-11). Determine i so that 0*i + 1/6 - 1/6*i**r = 0.
-1, 1
Suppose -2*k - 2 = -s, s = 5*s - k - 15. Let m(r) be the second derivative of 2/3*r**3 - r**2 + 0 + 1/2*r**s - r. Solve m(n) = 0 for n.
-1, 1/3
Solve -1/3*p**2 + 1/3*p**4 + 8/3*p - 4/3 + 1/3*p**5 - 5/3*p**3 = 0 for p.
-2, 1
Suppose 2*d - 2 = -x, -6*x = -3*x - 5*d - 6. Suppose x*i - 2*f = -f + 22, -2*f = -i + 14. Factor -8*z**2 + 1 - 5 - i*z - 2*z**3 + 0*z**2.
-2*(z + 1)**2*(z + 2)
Let r(n) be the second derivative of n**7/2940 + n**6/1260 - n**3/2 + 4*n. Let c(p) be the second derivative of r(p). Factor c(a).
2*a**2*(a + 1)/7
Let s = 32 + -27. Let q(d) be the first derivative of 1/2*d**2 + 2/3*d**3 + 0*d - 1/6*d**6 - 2/5*d**s - 1 + 0*d**4. Factor q(g).
-g*(g - 1)*(g + 1)**3
Factor 5 + 1 - 4*s**2 - 2*s**3 - 2*s - 6.
-2*s*(s + 1)**2
Let f be 1 + 0 + 1 - -1. Suppose -2*r = 3*p + f, 2*r - 9 = 2*p + 3. Find v, given that -2*v**2 - 2*v**r + v**2 + 2*v**4 - v**2 + 2*v**5 = 0.
-1, 0, 1
Suppose -5*c + 1 = -4*y - 6, 0 = 2*y - 4*c + 8. Suppose 14 = y*d + 10. Suppose 1/5*o + 1/5*o**d -