. Let x(t) = 0. What is t?
-1, 1
Suppose 0 + 40/9*a**4 + 4/9*a**2 + 0*a + 26/9*a**3 = 0. What is a?
-2/5, -1/4, 0
Let b(l) = -l**3 - 2*l**2 + l + 8. Let a(k) = -2*k**3 - 3*k**2 + k + 15. Suppose -3*z = -z + 22. Let v(q) = z*b(q) + 6*a(q). Determine o, given that v(o) = 0.
1, 2
Let u(a) be the third derivative of 1/40*a**4 + 0*a + 1/75*a**5 - 6*a**2 + 0 - 1/30*a**3. Find g such that u(g) = 0.
-1, 1/4
Let x(q) = q + 6. Let r be x(-6). Suppose r = 2*n - 0*n. Suppose -8*k**3 + 16/3*k**2 - 2/3*k**5 + 4*k**4 + n*k + 0 = 0. Calculate k.
0, 2
Solve 4*i**2 + 10/3*i**3 - 8/3*i + 2/3*i**4 - 16/3 = 0.
-2, 1
Let j = -46 + 67. Let t be 1*(-2 - (-48)/j). Factor 2/7*v**2 - t*v**4 + 0*v + 0*v**3 + 0.
-2*v**2*(v - 1)*(v + 1)/7
Let w(p) be the second derivative of p**4/138 + 8*p**3/69 + 16*p**2/23 + 19*p. Factor w(g).
2*(g + 4)**2/23
Let o be 4/24 + (-26)/12. Let b(q) = -q**2 + q + 1. Let f(s) = -3*s**2 + 4*s + 2. Let v(c) = o*b(c) + f(c). Factor v(d).
-d*(d - 2)
Factor -m**2 + 0*m - 1/2*m**3 + 0 + 1/2*m**4.
m**2*(m - 2)*(m + 1)/2
Factor 0*m**2 + 2/3*m**4 + 1/3*m**5 + 0 + 0*m + 1/3*m**3.
m**3*(m + 1)**2/3
Factor a**3 + 4*a**3 + 3*a**3 + 8*a**5 - 28*a**4 + 8*a**4.
4*a**3*(a - 2)*(2*a - 1)
Suppose 4*i = -0*i. Let o(p) be the third derivative of 0*p**3 + 0*p + i - 1/36*p**4 - p**2 - 1/90*p**5. Let o(n) = 0. Calculate n.
-1, 0
Let x(k) = 5*k - 3*k - 2*k - 2*k. Let g be x(-1). Find t such that 0*t + 1/5*t**3 - 1/5*t**g + 0 = 0.
0, 1
Let l(d) be the first derivative of 5*d**4/18 + 7*d**3/9 + 2*d**2/3 - d - 1. Let w(q) be the first derivative of l(q). Factor w(f).
2*(f + 1)*(5*f + 2)/3
Let j(a) be the third derivative of a**5/135 - 5*a**4/27 + 50*a**3/27 + 13*a**2. Factor j(i).
4*(i - 5)**2/9
Suppose -3*z = -z + 408. Let f be z/(-108) - 4/18. Solve 0 - 1/3*v**3 + 2/3*v**2 - 8/3*v**4 + 0*v - f*v**5 = 0 for v.
-1, 0, 2/5
Solve -15*w - 4 + 12*w + 5*w + 2*w**2 = 0 for w.
-2, 1
Let v be 11/3 + (-2)/(-6). Suppose z + 4 = -4*s, 0 = z - 2*s - s - 10. Suppose -b**v + 3*b**2 - b**3 - 2 + 0*b + 0*b + z*b - 3*b = 0. Calculate b.
-2, -1, 1
Let h be (-24)/10 + -3 + 6. Determine w, given that -6/5*w**3 + 0 + 6/5*w - h*w**4 + 3/5*w**2 = 0.
-2, -1, 0, 1
Suppose 0*f**2 + 2/5*f**3 - 2/5*f + 0 = 0. What is f?
-1, 0, 1
Suppose 4*z = -z + 20. Factor n**2 + 7*n + z + n - 4*n + 0.
(n + 2)**2
Let j(z) = 10*z - 4. Let k be j(3). Suppose -5*b + k = -b - 5*n, 4*n + 16 = 2*b. Solve -1/2 + 1/2*d**b + d**3 - d + 0*d**2 = 0 for d.
-1, 1
Let -2/5 + 6/5*f**4 + 4/5*f**3 - 6/5*f - 4/5*f**2 + 2/5*f**5 = 0. Calculate f.
-1, 1
Let y = -1 - -13/12. Let h(x) be the first derivative of 2/15*x**5 - 1/18*x**6 + 0*x**3 + 1 + 0*x - y*x**4 + 0*x**2. Determine n so that h(n) = 0.
0, 1
Let f(s) be the first derivative of -1/9*s**3 - 2/3*s + 1/2*s**2 - 1. Let f(w) = 0. Calculate w.
1, 2
Suppose -2*n + 3*r - 14 = -3*n, -4*n = -2*r. Factor -2*k**3 + 0*k**3 + n*k + k**5 - k.
k*(k - 1)**2*(k + 1)**2
Let q(r) = -3*r**4 - 6*r**3 + 36*r**2 - 52*r + 36. Let b(l) = -4*l**4 - 5*l**3 + 36*l**2 - 51*l + 37. Let n(z) = 4*b(z) - 5*q(z). Factor n(k).
-(k - 4)*(k - 2)**3
Let m(x) be the first derivative of 75/4*x**4 + 12*x - 3 - 24*x**2 + 5*x**3. Solve m(y) = 0 for y.
-1, 2/5
Factor 2/3*q**5 + 0 - 2/3*q - 4/3*q**4 + 4/3*q**2 + 0*q**3.
2*q*(q - 1)**3*(q + 1)/3
Let l(f) be the third derivative of -3*f**6/8 - f**5/2 - 5*f**4/24 + f**2. Let l(v) = 0. Calculate v.
-1/3, 0
Let z be (2/(-18))/((-82)/369). Factor -1/2*d + d**4 + 1/2 - 3/2*d**2 + z*d**3.
(d - 1)*(d + 1)**2*(2*d - 1)/2
Let j be 2/4 + (-30)/(-12). Suppose -9 + d**2 - 2*d**2 + 9*d - j*d = 0. Calculate d.
3
Factor 3*a**3 - 3/2*a**2 - 3/2*a**4 + 0*a + 0.
-3*a**2*(a - 1)**2/2
Let d(p) = 2*p - 9. Let m be (48/64)/(1/8). Let h be d(m). Solve 2*j**4 + 2/3*j**5 - 4/3*j**2 - 2*j + 4/3*j**h - 2/3 = 0.
-1, 1
Let g(s) be the first derivative of 2*s**3/3 + s**2 - 4*s - 35. Factor g(c).
2*(c - 1)*(c + 2)
Suppose 5*a - 32 + 12 = 0. Let q = a - 1. Factor 0 + 0*x + 2/7*x**q + 2/7*x**2.
2*x**2*(x + 1)/7
Let v(s) be the second derivative of -1/2*s**2 + 0 - 1/30*s**6 + 2*s + 1/6*s**4 + 0*s**5 + 0*s**3. Factor v(k).
-(k - 1)**2*(k + 1)**2
Let g(j) be the second derivative of -j**7/84 + 7*j**6/60 - 19*j**5/40 + 25*j**4/24 - 4*j**3/3 + j**2 + 21*j. Factor g(f).
-(f - 2)**2*(f - 1)**3/2
Let -6*m**2 + 109*m**5 - 58*m**5 - m - 10*m**4 - 54*m**5 - 12*m**3 = 0. What is m?
-1, -1/3, 0
Let n(l) be the first derivative of l**6/27 - 2*l**4/9 + 4*l**3/27 + l**2/3 - 4*l/9 - 30. Factor n(j).
2*(j - 1)**3*(j + 1)*(j + 2)/9
Let u(x) = -4*x**3 + 13*x**2 - 29*x - 4. Let t(z) = z**2 + z + 1. Let k(v) = -24*t(v) - 3*u(v). Factor k(d).
3*(d - 4)*(d - 1)*(4*d - 1)
Let m(j) be the second derivative of j**5/5 - 5*j**4/3 - 2*j**3/3 + 10*j**2 - 5*j. Factor m(h).
4*(h - 5)*(h - 1)*(h + 1)
Let w(r) be the third derivative of -2*r**2 + 0*r**3 - 1/24*r**4 + 1/40*r**5 - 1/240*r**6 + 0 + 0*r. Solve w(o) = 0.
0, 1, 2
Let s(w) = w**3 - 8*w**2 + 14*w + 7. Let m be s(5). Factor -1/2*o**3 + 0 + 1/4*o**5 + 0*o**m + 0*o**4 + 1/4*o.
o*(o - 1)**2*(o + 1)**2/4
Suppose -3*b = -6*b + 9. Factor -7*p**2 + 15*p**3 - 10*p**b - 10*p**3 - 2*p.
-p*(p + 1)*(5*p + 2)
Let p(y) be the second derivative of -y**5/80 + y**4/24 + y**3/6 - y**2 + 10*y. Factor p(g).
-(g - 2)**2*(g + 2)/4
Let s(f) be the third derivative of 1/120*f**6 + 0*f + 0*f**3 + 1/60*f**5 + 2*f**2 + 0 + 0*f**4. Factor s(n).
n**2*(n + 1)
Let p(y) = -2*y + 2. Let t be p(-4). Suppose -a + 2*r = -6, 0*r - 2*r = 3*a - t. Factor u**2 + u - 2*u**3 - u**4 + 0*u**a + u**3.
-u*(u - 1)*(u + 1)**2
Let w(n) be the second derivative of n**6/120 + n**5/60 - 2*n**2 - n. Let c(p) be the first derivative of w(p). Factor c(q).
q**2*(q + 1)
Let h(c) be the second derivative of 2*c**6/15 - 2*c**5/5 - c**4/3 + 4*c**3/3 - 9*c. Determine u so that h(u) = 0.
-1, 0, 1, 2
Let t(o) = -o**2 - o. Let m(h) = h**3 + 9*h**2 + 2*h. Let f(i) = m(i) + 6*t(i). Determine w, given that f(w) = 0.
-4, 0, 1
Let j(h) be the first derivative of h**6/6 - 9*h**5/5 + 13*h**4/2 - 34*h**3/3 + 21*h**2/2 - 5*h - 22. Factor j(a).
(a - 5)*(a - 1)**4
Find c, given that -3/5*c**3 - 3/5*c**2 + 24/5*c + 36/5 = 0.
-2, 3
Let a(z) = 14*z**4 + 8*z**3 - 26*z**2 + 14*z - 17. Let u(h) = -5*h**4 - 3*h**3 + 9*h**2 - 5*h + 6. Let r(q) = 6*a(q) + 17*u(q). Factor r(j).
-j*(j + 1)**3
Let p(n) be the first derivative of -10*n**3/9 - 7*n**2/3 - 4*n/3 + 3. Let p(g) = 0. What is g?
-1, -2/5
Factor 0 + 1/3*p - 1/3*p**3 + 1/6*p**4 - 1/6*p**2.
p*(p - 2)*(p - 1)*(p + 1)/6
Let x = 5 - 0. Let j(f) = f + 6*f**2 - x*f**2 + 2 - 1. Let o(v) = 12*v**2 + 8*v + 10. Let r(k) = -10*j(k) + o(k). Suppose r(p) = 0. What is p?
0, 1
Suppose 5*l + 77*l**2 - 89*l**2 - 2*l = 0. What is l?
0, 1/4
Let k(t) = -17*t**3 - 12*t**2 + 37*t + 19. Let o(x) = 4*x**3 + 3*x**2 - 9*x - 5. Let w(y) = 6*k(y) + 26*o(y). Factor w(j).
2*(j - 2)*(j + 1)*(j + 4)
Let a be 0/(-2)*(-2)/(-4). Let z(v) be the first derivative of 1 + a*v**2 + 0*v + 1/2*v**4 + 0*v**3. Find b, given that z(b) = 0.
0
Let i(a) be the third derivative of -a**8/1680 - a**7/280 - a**6/120 - a**5/120 + a**3/2 - 2*a**2. Let s(j) be the first derivative of i(j). Factor s(d).
-d*(d + 1)**3
Let l(h) = -h**2 - 5*h + 1. Let r be l(-5). Suppose r = 5*k - 44. Suppose 5*m - 3*m**3 - 2*m + k*m**2 - 9*m**2 = 0. Calculate m.
-1, 0, 1
Solve 5*p**5 - 15*p**3 + 5/2*p**4 + 0 + 5*p + 5/2*p**2 = 0 for p.
-2, -1/2, 0, 1
Let h(t) be the third derivative of t**5/40 + t**4/4 - 5*t**3/4 - 5*t**2. Factor h(n).
3*(n - 1)*(n + 5)/2
Let h(y) be the first derivative of -2*y**3 - 1/5*y**5 + 2*y**2 - 3 + y**4 - y. Factor h(v).
-(v - 1)**4
Let g(f) be the third derivative of 3/70*f**7 - 1/2*f**3 + 1/20*f**6 + 1/112*f**8 - 1/10*f**5 + 0 - 3/8*f**4 + 0*f - f**2. Factor g(c).
3*(c - 1)*(c + 1)**4
Let d(g) be the third derivative of g**7/140 + g**6/40 - g**5/40 - g**4/8 - 22*g**2. Factor d(i).
3*i*(i - 1)*(i + 1)*(i + 2)/2
Factor 0 + 4/19*i**4 + 0*i**2 + 0*i - 2/19*i**5 - 2/19*i**3.
-2*i**3*(i - 1)**2/19
Suppose 2*q = -v + 7 - 0, 5*v - 4*q = 7. Let p(c) be the second derivative of 0*c**2 + 2*c - 1/60*c**6 + 0*c**v + 0*c**4 + 0 - 1/40*c**5. Factor p(h).
-h**3*(h + 1)/2
Let y = 1 - 3. Let x(s) be the second derivative of -s**5/20 - s**4/12 - 2*s. Let w(z) = 5*z**3 - 4*z**2 + z. Let t(l) = y*x(l) - 2*w(l). Factor t(i).
-2*i*(i - 1)*(4*i - 1)
Let u(s) be the first d