 (4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0.
o*(o - 1)**4/2
Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4.
2*i**2*(i + 1)**2/5
Find a, given that 5*a + 10/3 + 5/3*a**2 = 0.
-2, -1
Find n, given that -4/17*n + 6/17*n**2 + 0 = 0.
0, 2/3
Solve 0*h + 5/2*h**2 - 45/4*h**3 + 0 + 5*h**4 = 0.
0, 1/4, 2
Let x = 4 + -10. Let u be x/(-4)*32/24. Factor 0 + 1/4*i + 1/4*i**u.
i*(i + 1)/4
Let j = 217/65 - 7/13. Determine s so that -j*s**5 + 12/5*s**3 - 11/5*s**4 + 11/5*s**2 + 0 + 2/5*s = 0.
-1, -1/2, -2/7, 0, 1
Let i(r) be the first derivative of -r**6/3 - 16*r**5/5 - 25*r**4/2 - 76*r**3/3 - 28*r**2 - 16*r - 14. Factor i(y).
-2*(y + 1)**2*(y + 2)**3
Suppose -g - 14 = -4*a + g, -9 = -3*a + g. Let 30*h - 26*h**2 - a*h**4 - 8 + 12*h**3 - 11*h + 5*h = 0. Calculate h.
1, 2
Factor 9 + 3/2*x**2 - 15/2*x.
3*(x - 3)*(x - 2)/2
Let w(b) be the third derivative of -2*b**7/315 + b**5/15 - b**4/9 + 28*b**2. Factor w(q).
-4*q*(q - 1)**2*(q + 2)/3
Let u(b) be the third derivative of b**6/360 - b**5/60 + b**4/36 + 55*b**2 + b. Factor u(h).
h*(h - 2)*(h - 1)/3
Let s(j) be the second derivative of -j**7/840 + j**6/240 - j**4/4 - 7*j. Let t(u) be the third derivative of s(u). Factor t(w).
-3*w*(w - 1)
Let r = -129 + 131. Factor 0*x + 0 - 1/2*x**5 - 2*x**r + 3/2*x**4 + 0*x**3.
-x**2*(x - 2)**2*(x + 1)/2
Let u(n) be the first derivative of -5*n**4/4 - 8*n**3/3 - n**2/2 + 2*n - 15. Determine k, given that u(k) = 0.
-1, 2/5
Let q be (-26)/8 + 20/5. Let -3/4*f + 0 + q*f**3 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let p(t) be the third derivative of -t**8/6720 + t**7/2520 + t**4/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x).
-x**2*(x - 1)
Let o = -13 - -10. Let c(s) = -3*s**4 + 15*s**3 - 36*s**2 + 39*s - 12. Let v(x) = -x**3 + x**2 + x. Let d(m) = o*v(m) + c(m). Factor d(u).
-3*(u - 2)**2*(u - 1)**2
Let r(a) be the second derivative of -a**7/56 + 3*a**6/20 - 9*a**5/20 + 5*a**4/8 - 3*a**3/8 + 9*a. Factor r(c).
-3*c*(c - 3)*(c - 1)**3/4
Let x = -30/11 + 984/385. Let u = 4/35 - x. Determine g so that -8/7 - u*g**2 - 8/7*g = 0.
-2
Factor 2/5*a**5 + 4/5*a**4 + 0*a**2 + 0*a + 0 + 2/5*a**3.
2*a**3*(a + 1)**2/5
Suppose 3*z = 3*n + 39, 5*z - 19 = n + 66. Let x = 21 - z. Let 0*u + 4/7*u**2 + 0 + 2/7*u**x = 0. What is u?
-2, 0
Let t(l) be the first derivative of -l**6/30 + l**5/10 - l**3/3 + l**2/2 + 2*l + 4. Let s(r) be the first derivative of t(r). Factor s(u).
-(u - 1)**3*(u + 1)
Let x = -3 + 4. Let u be x/(-4)*(-48)/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22/3*j**3 = 0. Calculate j.
0, 1/3, 1/2, 1
Find a, given that -2/13*a - 4/13*a**3 - 8/13*a**2 + 6/13*a**5 + 8/13*a**4 + 0 = 0.
-1, -1/3, 0, 1
Suppose -3*r - 5 = -2*c - 1, -4*r - 3*c + 6 = 0. Suppose -2*y - 19 + 29 = r. Determine h, given that 0*h + 11/3*h**4 - 8/3*h**3 + 0 - h**y - 4/3*h**2 = 0.
-1/3, 0, 2
Let j(n) be the third derivative of 8*n**6/3 - 4*n**5 + 5*n**4/2 - 5*n**3/6 + 5*n**2. Factor j(t).
5*(4*t - 1)**3
Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9/4*x**4 - 7/4*x**2 + 15/4*x**o + n + 1/4*x.
-x*(x - 1)*(3*x - 1)**2/4
Let h be -26*(-2)/(-60) - -1. Let c(p) be the third derivative of 2/75*p**5 + h*p**3 + 0*p - 1/12*p**4 + 2*p**2 + 0 - 1/300*p**6. Factor c(o).
-2*(o - 2)*(o - 1)**2/5
Let c(t) be the third derivative of -1/30*t**5 + 4*t**2 + 2/27*t**3 - 1/108*t**4 + 0 + 13/540*t**6 + 0*t - 1/189*t**7. Let c(z) = 0. What is z?
-2/5, 1
Determine p, given that 1/9*p**3 - 2/9*p**2 - 1/3*p + 0 = 0.
-1, 0, 3
Let c(v) be the third derivative of -v**8/336 + 4*v**7/105 - 11*v**6/60 + 7*v**5/15 - 17*v**4/24 + 2*v**3/3 - 23*v**2. Find o such that c(o) = 0.
1, 4
Solve 8/5*i + 1/5*i**2 + 16/5 = 0 for i.
-4
Let h(l) = -l**3 + l**2 - l + 1. Let j(c) = -16*c**3 + 20*c**2 - 12*c + 12. Let q(u) = 12*h(u) - j(u). What is s in q(s) = 0?
0, 2
Let w(k) be the second derivative of 6*k**6/5 - 42*k**5/5 + 52*k**4/3 - 44*k**3/3 + 6*k**2 - 5*k. Factor w(q).
4*(q - 3)*(q - 1)*(3*q - 1)**2
Let i(z) be the second derivative of z**4/18 + z**3/3 + 2*z**2/3 - z. Factor i(c).
2*(c + 1)*(c + 2)/3
Let k(n) be the second derivative of n**6/6 - 3*n**5/4 + 24*n. Factor k(d).
5*d**3*(d - 3)
Determine v, given that -32/3*v + 2/3*v**2 + 128/3 = 0.
8
Suppose -9 = -5*w + 1. Let l be (824/72 - 4) + -7. Suppose -4/9 + l*t**w - 2/3*t = 0. Calculate t.
-1/2, 2
Let o = -304/3 + 102. Let j(k) be the third derivative of 2*k**2 + 3/2*k**4 + o*k**3 + 0*k + 39/20*k**5 + 5/14*k**7 + 0 + 4/3*k**6. Factor j(n).
(n + 1)*(3*n + 1)*(5*n + 2)**2
Let q(r) be the second derivative of r**5/120 - r**3/12 + r**2/6 - 9*r. Factor q(t).
(t - 1)**2*(t + 2)/6
Let p(c) be the first derivative of -c**6/1080 - c**5/180 - c**4/72 + 4*c**3/3 - 2. Let v(h) be the third derivative of p(h). Suppose v(x) = 0. What is x?
-1
Let n be (1 + 1)/(4/6). Factor 0*c + 0 + 1/2*c**4 + 0*c**2 + 1/2*c**n.
c**3*(c + 1)/2
Factor 4/3*m + m**3 + 8/3 - 10/3*m**2.
(m - 2)**2*(3*m + 2)/3
Let j be 0/((-3)/(-6)*2). Let m be (-1 - 2/(-4))*j. Factor -1/3*x**2 + 0*x + m.
-x**2/3
Let t = -2 + 5. Let 7*j**2 + t - 10*j**2 - 19*j**2 - 18*j + 1 = 0. Calculate j.
-1, 2/11
Let w = -3 - -11. Let y = w + -6. Solve -15*s**2 + 7*s**y + 8*s**4 + 2*s - s**3 - 4*s**3 + 3*s**3 = 0.
-1, 0, 1/4, 1
Let z be ((-1)/10)/(9 + (-190)/20). What is i in z*i**4 + 0 - 2/5*i**3 + 1/5*i**2 + 0*i = 0?
0, 1
Suppose 0*c + 3*c = 0. Suppose -2*l + l + 10 = c. Find v, given that -5*v**5 - 4*v - 3*v**4 + l*v**2 - 7*v**4 + 18*v**3 - 9*v**5 = 0.
-1, 0, 2/7, 1
Let n = 25148/8775 - 1676/675. Let i = 2/117 + n. Factor 12/5*q**2 + i + 8/5*q**3 + 2/5*q**4 + 8/5*q.
2*(q + 1)**4/5
Let h = -24 - -36. Factor 0 - 1 - 12*k**3 - 3*k**4 + 1 - h*k**2.
-3*k**2*(k + 2)**2
Let -2/3 - 8/3*x**2 - 10/3*x = 0. What is x?
-1, -1/4
Factor 0 + 6*l - 6/5*l**2.
-6*l*(l - 5)/5
Let m(x) be the first derivative of -x**8/1176 - x**7/735 + x**2/2 + 1. Let k(r) be the second derivative of m(r). Determine u so that k(u) = 0.
-1, 0
Let k be 6/((-9)/(-3))*(1 + 0). Factor 1/2*j**3 + 1/2*j**5 + 3/2*j**k - 3/2*j**4 + 0 - j.
j*(j - 2)*(j - 1)**2*(j + 1)/2
Factor 0 - 2/3*u**2 - 2/3*u.
-2*u*(u + 1)/3
Let i(j) = 2*j**3 + 31*j**2 + 98*j - 3. Let s(q) = 2*q**3 + 32*q**2 + 98*q - 4. Let b(d) = 4*i(d) - 3*s(d). Find g such that b(g) = 0.
-7, 0
Let a(w) = -7*w**3 - 9*w**2 + 7*w. Let v be (2 - 21/6)*-6. Let b(h) = -3*h + 4*h**2 - 2 + 2 + 3*h**3. Let x(d) = v*b(d) + 4*a(d). Factor x(n).
-n*(n - 1)*(n + 1)
Suppose 0 - 6/7*d**2 + 2/7*d**3 + 2/7*d**5 - 4/7*d + 6/7*d**4 = 0. What is d?
-2, -1, 0, 1
Let x(d) = d**2 - 3*d + 1. Let g be x(2). Let j be 5/15 - g/(-3). Factor -2/5*c**4 + j*c - 2/5 + 4/5*c**2 + 0*c**3.
-2*(c - 1)**2*(c + 1)**2/5
Let f(g) be the third derivative of -g**7/175 + g**6/100 + 3*g**5/50 - g**4/4 + 2*g**3/5 - 18*g**2. Factor f(r).
-6*(r - 1)**3*(r + 2)/5
Solve -8 - 16*z**3 + 4*z**4 + 4*z**5 - 3*z**4 + 8*z**2 + 12*z - z**4 = 0.
-2, -1, 1
Let x(d) be the first derivative of d**7/2520 + d**4/6 - d + 2. Let m(p) be the first derivative of x(p). Let n(g) be the third derivative of m(g). Factor n(r).
r**2
Suppose 3*j = 5*b - 3 - 17, -b + 4 = 4*j. Let t(p) be the second derivative of 0 - p + j*p**2 - 1/10*p**5 - 1/3*p**4 - 1/3*p**3. Find a, given that t(a) = 0.
-1, 0
Let t(y) be the first derivative of y**5 - 5*y**4/2 + 5*y**3/3 + 12. Determine p, given that t(p) = 0.
0, 1
Let t(v) = -v**3 + 9*v**2 + 27*v + 19. Let z(b) = 2*b**3 - 28*b**2 - 80*b - 56. Let k(j) = -8*t(j) - 3*z(j). Factor k(q).
2*(q + 2)**3
Factor -201/2*q**3 + 171/2*q**2 - 36*q + 6 - 27/2*q**5 + 117/2*q**4.
-3*(q - 1)**3*(3*q - 2)**2/2
Let q(f) = f. Let u be q(5). Suppose u*b = 5 + 10. Factor 2 - 6 + 2*d + 4*d**2 + 3*d**3 - 5*d**b.
-2*(d - 2)*(d - 1)*(d + 1)
Let p(t) be the third derivative of 1/180*t**5 + 0 + 1/9*t**3 - 3*t**2 + 0*t - 1/24*t**4. Factor p(y).
(y - 2)*(y - 1)/3
Let m(z) be the second derivative of -3*z**5/40 - z**4/4 + 3*z**3/4 - 21*z. Let m(l) = 0. Calculate l.
-3, 0, 1
Let 2/5*x**3 + 6/5*x + 6/5*x**2 + 2/5 = 0. What is x?
-1
Solve -20*u**2 - 3*u**3 - 14*u**2 + 22*u**2 - 6 - 15*u = 0.
-2, -1
Let b(l) be the first derivative of -l**2/2 + 4. Let j(t) be the third derivative of -t**5/30 + t**4/6 - 2*t**2. Let w(g) = 2*b(g) + j(g). Solve w(k) = 0.
0, 1
Let z(q) be the third derivative of -2/15*q**3 + 