y + 2)
Let y be 195/(-20) - (-2)/(-8). Let k = -6 - y. Factor 0*x**k - 2*x**2 + 5*x**4 - 3*x**3 + 0*x**4.
x**2*(x - 1)*(5*x + 2)
Let j = -3 - -7. Let o = -4 + 4. Factor b**j + 3*b**3 - 4*b**4 + o*b**4.
-3*b**3*(b - 1)
Find v such that 0 + 2/19*v**3 - 2/19*v**4 + 0*v - 2/19*v**5 + 2/19*v**2 = 0.
-1, 0, 1
Suppose 15 = 2*z + z. Suppose z = 3*g - 2*s, 3*s = 5*g + 2*s - 13. Suppose 0*r + 2/5*r**2 + 0 + 4/5*r**g + 2/5*r**4 = 0. What is r?
-1, 0
Let v(l) = l**3 - 6*l**2 - 17*l + 9. Let z be v(8). Let x be z - (-3)/(0 + 1). Factor 3/2*m**x + 13/4*m**3 + 1/4*m**5 + m + 0 + 3*m**2.
m*(m + 1)**2*(m + 2)**2/4
Suppose j = -5*f - 2 + 22, 5*f = -3*j + 20. Factor -f*t + 2*t**2 + 0*t**2 + 4*t.
2*t**2
Factor 4/3*v + 8/3*v**2 + 2/3*v**4 + 20/9*v**3 + 2/9.
2*(v + 1)**3*(3*v + 1)/9
Let w = 92/3 - 30. Factor -4/3*g + 2/3*g**2 + 0 - w*g**4 + 4/3*g**3.
-2*g*(g - 2)*(g - 1)*(g + 1)/3
Determine s so that 1/3*s - 2/3*s**4 + 2/3*s**2 + 0*s**3 - 1/3*s**5 + 0 = 0.
-1, 0, 1
Let g be 2/(-3) - 22/(-6). Factor -a**2 + 0 + a**3 - a + 0*a**g + 0*a**3 + 1.
(a - 1)**2*(a + 1)
Let o(a) be the first derivative of -a**6/27 - 16*a**5/45 - 11*a**4/9 - 16*a**3/9 - a**2 - 14. Factor o(n).
-2*n*(n + 1)**2*(n + 3)**2/9
Let a(s) be the first derivative of -s**6/480 + s**5/48 - s**4/12 + s**3/6 + 2*s**2 - 2. Let w(r) be the second derivative of a(r). Factor w(n).
-(n - 2)**2*(n - 1)/4
Let b(c) be the third derivative of c**8/840 - c**6/150 + c**4/60 + 4*c**2. Let b(f) = 0. Calculate f.
-1, 0, 1
Let g(n) = -n**2 + 7*n + 5. Let v be g(5). Let u be 43/v + 4/30. Let -6*x + 13/2*x**2 + 2 + 1/2*x**4 - 3*x**u = 0. Calculate x.
1, 2
Let z = -67 + 40. Let i = -25 - z. Solve 1 + 9/4*o**i + 3*o = 0 for o.
-2/3
Let l(f) = -f**3 + 2*f - 1. Let v be l(1). Let p be (4/8)/(-1)*0. Factor 2/3*b + v + p*b**4 + 0*b**2 + 2/3*b**5 - 4/3*b**3.
2*b*(b - 1)**2*(b + 1)**2/3
Let p(u) = u**2 + 1. Let h(m) be the third derivative of -m**5/15 + m**4/8 - 5*m**3/6 - 3*m**2. Let q(j) = h(j) + 3*p(j). Determine x, given that q(x) = 0.
1, 2
Let f be ((-4)/(320/132))/9. Let a = 7/12 + f. Suppose -8/5*w**2 - a*w**5 + 0 - 8/5*w**4 - 12/5*w**3 - 2/5*w = 0. Calculate w.
-1, 0
Let l(j) be the second derivative of j**4/18 - 2*j**3/9 - j**2 + 4*j. Determine x so that l(x) = 0.
-1, 3
Let w(i) = -2*i**2 + 14*i - 6. Let k(l) = -5*l**2 + 41*l - 16. Let z(s) = -3*k(s) + 8*w(s). Solve z(r) = 0.
-11, 0
Suppose 2*q + 0*q + 3 = -g, 2*g - 2*q = 12. Let z(h) be the first derivative of -g - 2/13*h**3 - 4/13*h**2 + 8/13*h. Find m, given that z(m) = 0.
-2, 2/3
Let m = 87/182 + 2/91. Suppose 0 = 4*r + 8, -8 = -3*n + 2*r + 2*r. Factor m*w**2 + n - 1/2*w.
w*(w - 1)/2
Suppose 5*u - 2 = 4*u. Find a, given that -3/2*a - 1/4*a**u - 9/4 = 0.
-3
Let u(w) be the third derivative of w**8/21 + 4*w**7/105 - 47*w**6/120 + 2*w**5/15 + 13*w**4/24 + w**3/3 - 3*w**2 + 10*w. Find k, given that u(k) = 0.
-2, -1/4, 1
Suppose -3*l - 119 = -5*t - 4*l, -117 = -5*t - 3*l. Let g be t/(-9) + 3/1. Find q such that 1/3 - g*q**4 + 0*q**2 - 2/3*q + 2/3*q**3 = 0.
-1, 1
Determine t, given that 28*t**4 - 83*t**5 + 0 + 0 + 87*t**5 + 20*t**2 + 44*t**3 = 0.
-5, -1, 0
Let h = 107/5 - 21. Solve 2/5*d**4 - h*d**2 + 2/5*d**3 + 0 + 0*d - 2/5*d**5 = 0 for d.
-1, 0, 1
Let z(i) be the second derivative of i**6/60 - i**5/30 - i**2/2 - 3*i. Let b(p) be the first derivative of z(p). Find k, given that b(k) = 0.
0, 1
Factor -36*i + 93*i - 64 + 2*i**2 - 41*i - 3*i**2.
-(i - 8)**2
Let w(f) be the second derivative of -f**7/840 - f**6/360 - f**3/3 + 2*f. Let n(b) be the second derivative of w(b). Factor n(i).
-i**2*(i + 1)
Factor 0 - 1/8*g**3 - 1/8*g**2 + 0*g.
-g**2*(g + 1)/8
Let d be 1*2/2 - -6. Let k(h) be the third derivative of 0*h**3 + 0 + 1/36*h**4 - 1/315*h**d - 1/30*h**5 - h**2 + 0*h + 1/60*h**6. Solve k(p) = 0.
0, 1
Let p be 0 + (-3)/6*2. Let y be ((-6)/10)/(p/5). Solve 2/3*o**2 + 1/3*o**y + 0 + 1/3*o = 0.
-1, 0
Solve s - 14/3*s**2 - 1/3*s**5 + 5/3*s**4 - 2/3*s**3 + 3 = 0 for s.
-1, 1, 3
What is f in -6*f**5 + 7*f**5 + 30*f**3 - 2*f + 3*f**2 - 29*f**3 - 3*f**4 = 0?
-1, 0, 1, 2
Suppose -294 = -5*h - 4*u, h - 6*h + 322 = -3*u. Factor -3*i + 42*i + 12 + h*i + 147*i**2 - 17*i.
3*(7*i + 2)**2
Let p(x) be the second derivative of -2*x**4 + 5/2*x**3 - 3/2*x**2 + 0 + 3/5*x**5 + 4*x. Factor p(z).
3*(z - 1)*(2*z - 1)**2
Let s(f) be the first derivative of -2*f**5/75 - f**4/15 - 2*f**3/45 - 11. Factor s(c).
-2*c**2*(c + 1)**2/15
Let n = 25 + -15. Let o(p) = -p**2 - p + 1. Let i(b) = -250*b**3 - 445*b**2 - 265*b - 59. Let m(z) = n*o(z) + 2*i(z). Factor m(v).
-4*(5*v + 3)**3
Let m(r) be the second derivative of -r**5/5 + r**4 - 2*r**3 + 2*r**2 - 10*r. Factor m(c).
-4*(c - 1)**3
Let g(r) be the first derivative of 4*r**5/15 - 11*r**4/12 + r**3 - r**2/6 - r/3 - 5. Suppose g(c) = 0. Calculate c.
-1/4, 1
Let u(p) = 2*p**3 + 2*p**2 - p. Let h be u(-2). Let q(k) = -k - 2. Let c be q(h). Factor m**4 + 3*m - 2*m + 3*m + 1 + 6*m**2 + c*m**3.
(m + 1)**4
Suppose -4*j - 14 = -2. Let r = 6 + j. Let 0 + 2/7*u + 2/7*u**r - 4/7*u**2 = 0. Calculate u.
0, 1
Let w(n) be the second derivative of n**7/168 - n**6/10 + 19*n**5/40 - 13*n**4/12 + 11*n**3/8 - n**2 + 46*n. Factor w(j).
(j - 8)*(j - 1)**4/4
Let f(k) be the first derivative of -4*k**5/5 + 13*k**4/4 - k**3 + 8. Factor f(j).
-j**2*(j - 3)*(4*j - 1)
Let c = 8 + -19/5. Factor c*g**2 - 9/5*g - 12/5.
3*(g - 1)*(7*g + 4)/5
Suppose -15 - 15 = -5*n. Suppose 6*q - 8 + 5*q**4 + 2 + 3 - 2*q**4 - n*q**3 = 0. Calculate q.
-1, 1
Suppose -f - 41 = -10. Let h = 33 + f. What is z in -h*z**4 + 2*z**2 - 8*z + 16/3*z**3 - 8/3 = 0?
-1, -1/3, 2
Suppose -3*u + 2 = -0*u + 4*p, 4*u = -2*p + 6. Let 16*z**u + 0*z**3 + z**5 - z**3 - 17*z**2 + z**4 = 0. Calculate z.
-1, 0, 1
Let w(o) = -10*o - 2. Let p be w(-4). Factor -24*b**2 - 3*b + 15*b**4 - 40*b**4 + p*b**3 + 7*b + 7*b**3.
-b*(b - 1)*(5*b - 2)**2
Let m(j) = 7*j**3 + 9*j**2 + 5*j - 1. Let f(y) = 15*y**3 + 18*y**2 + 9*y - 3. Let n(t) = 4*f(t) - 9*m(t). Solve n(b) = 0 for b.
-1
Let h(l) = -l**5 + 6*l**4 + 8*l**3 + 6*l**2 + 3*l + 2. Let x(a) = -a**5 + a**4 + a**3 + a**2 + a + 1. Let v(d) = 3*h(d) - 6*x(d). Factor v(r).
3*r*(r + 1)**4
Suppose -5*x + 12 = 2. Factor -1 - 7/2*c + 9/2*c**x.
(c - 1)*(9*c + 2)/2
Find k, given that -2/3 + 4/3*k**2 - 2/3*k**4 + 0*k + 0*k**3 = 0.
-1, 1
Let p be (-25)/(-7) - (-3)/7. Factor -9*j**3 - 7*j**3 + 19*j**4 + 2*j**2 + 13*j**p + 0*j**2.
2*j**2*(4*j - 1)**2
Factor 8/3*h - 16/3 - 1/3*h**2.
-(h - 4)**2/3
Let s(o) be the third derivative of -o**7/840 + o**5/120 + o**3 + o**2. Let a(w) be the first derivative of s(w). Factor a(x).
-x*(x - 1)*(x + 1)
Determine k, given that 3/2*k**2 + 6 + 10*k = 0.
-6, -2/3
Let r = -20 - -25. Suppose 2 = -r*q + 17. Factor 1/3*y**4 + 0*y**2 - 1/3*y**q + 0 + 0*y.
y**3*(y - 1)/3
Let z = -122 - -370/3. Determine c, given that -2/3*c**2 - 2/3 - z*c = 0.
-1
Suppose 2*j = -3*j + 10. Suppose -8 = -3*x - 0*v - j*v, -x = -2*v. Determine p, given that -1/2*p**x - 1/2 + p = 0.
1
Determine d so that 0*d + 8/3*d**2 - 2*d**4 - 16/3*d**3 + 0 + 6*d**5 = 0.
-1, 0, 2/3
Find m, given that -54/17*m - 18/17*m**3 + 54/17*m**2 + 0 + 2/17*m**4 = 0.
0, 3
Let z(j) = j**3 - j**2 - j - 1. Let f(g) = -6*g**3 + 2*g**2 + 4*g + 4. Let q(k) = f(k) + 4*z(k). Determine o, given that q(o) = 0.
-1, 0
Let u be ((-4)/(-30))/((-2)/(-12)*2). Suppose 0*r + 0 + u*r**2 + 6/5*r**3 + 4/5*r**4 = 0. What is r?
-1, -1/2, 0
Find z such that 5*z**4 - 5*z**5 - 24*z + 15*z**3 - 4*z**2 + 14*z - z**2 = 0.
-1, 0, 1, 2
Determine s so that -8/7*s - 6/7*s**2 + 8/7 + 2/7*s**4 + 4/7*s**3 = 0.
-2, 1
Factor 3/8*o + 0 + 0*o**2 - 3/8*o**3.
-3*o*(o - 1)*(o + 1)/8
Let n(x) be the second derivative of -x**8/23520 - x**4/12 - 3*x. Let w(c) be the third derivative of n(c). Factor w(j).
-2*j**3/7
Let m be 2/3*1*18. Let a = m - 9. Find y, given that -3/2*y - 1/2*y**a - 3/2*y**2 - 1/2 = 0.
-1
Let g be ((-5)/25)/((-2)/10). Let a be (g + -4)/(27/(-6)). Solve a - 2*h + 4/3*h**2 = 0 for h.
1/2, 1
Let r(m) = m - 1. Let i be r(7). Let q(l) = -l**2 + 7*l - 3. Let s be q(i). Factor 2*n**2 + 2*n**s - 2*n**4 - 9*n**3 - 7*n**5 + 14*n**5.
n**2*(n - 1)*(n + 1)*(7*n - 2)
Suppose 0 = -z + f - 2, -3*z + 2 = 3*f - 4*f. Solve -x + 4 + 6*x**2 - 5*x**z - x**4 - 4 + x**3 = 0 for x.
-1, 0, 1
Factor 5/3*x + 4/3*x**2 + 2/3 + 1/3*x**3.
(x + 1)**2*(x + 2)/3
Suppose 0*y + 3*y - 