 Let j = d + -498/5. Find x, given that j*x**2 + 4/5 + 6/5*x = 0.
-2, -1
Find t, given that 8/3*t + 2/3*t**2 - 2/3*t**3 - 8/3 = 0.
-2, 1, 2
Let q(h) be the third derivative of -h**8/1680 - h**7/150 - 19*h**6/600 - h**5/12 - 2*h**4/15 - 2*h**3/15 - 38*h**2. Factor q(m).
-(m + 1)**3*(m + 2)**2/5
Let j be ((-16)/6)/((-208)/24). Factor j + 2/13*z**3 - 4/13*z**2 - 2/13*z.
2*(z - 2)*(z - 1)*(z + 1)/13
Solve -2*f + 4/3*f**2 + 2/3*f**5 + 2/3 - 2*f**4 + 4/3*f**3 = 0.
-1, 1
Let n be 4/(-18) - 10/(-45). Let k(h) be the first derivative of -1/10*h**4 + n*h + 0*h**3 - 1 + 0*h**2. Factor k(q).
-2*q**3/5
Let p(y) = y**2 + 1. Let k(j) = 3*j**3 + 17*j**2 + 24*j + 14. Let l(t) = k(t) - 2*p(t). Factor l(s).
3*(s + 1)*(s + 2)**2
Let j(c) be the first derivative of 2*c**3/3 + 8*c**2 + 14*c + 26. Factor j(v).
2*(v + 1)*(v + 7)
Let u(z) be the second derivative of z**6/30 + 3*z**5/20 + z**4/6 - 3*z. Factor u(q).
q**2*(q + 1)*(q + 2)
Determine j, given that 0 - 39/5*j**2 + 18/5*j + 3*j**3 = 0.
0, 3/5, 2
Find l such that 3 + 4 + 6*l**3 - 6*l - 4 - 3*l**4 = 0.
-1, 1
Suppose -r + 5*r = 8. Let 28*n + n**5 + 19*n**3 - 22*n**2 - 8*n**4 + 6*n**3 - 8 - 16*n**r = 0. What is n?
1, 2
Let i(x) be the third derivative of -x**7/70 - 47*x**6/200 - 69*x**5/50 - 16*x**4/5 - 16*x**3/5 + 12*x**2. Suppose i(s) = 0. What is s?
-4, -1, -2/5
Suppose 4*x = 2*q - 4, q - 3*q + 2*x = -4. Suppose 40*y**q + y**3 - 40*y**2 = 0. What is y?
0
Let j = -15 - -91/6. Let u(d) be the second derivative of -j*d**3 - 1/4*d**2 - d - 1/24*d**4 + 0. Factor u(k).
-(k + 1)**2/2
Let m be 16/28*4/48. Let r(c) be the second derivative of c + 1/70*c**5 + 0 + 1/42*c**4 - 1/7*c**2 - m*c**3. Factor r(v).
2*(v - 1)*(v + 1)**2/7
Suppose 2/7*q**2 + 2/7*q**3 - 2/7*q - 2/7*q**4 + 0 = 0. Calculate q.
-1, 0, 1
Let w be ((-6)/(-120))/(10/25). Let y(n) be the first derivative of 1/20*n**5 - 1/16*n**4 + 4 + w*n**2 - 1/12*n**3 + 0*n. Factor y(x).
x*(x - 1)**2*(x + 1)/4
Factor 2*p**2 + 2/3*p**3 + 0*p - 8/3.
2*(p - 1)*(p + 2)**2/3
Let c = 860 - 857. Determine b so that 18/7*b**c + 0 + 3/7*b - 12/7*b**2 + 3/7*b**5 - 12/7*b**4 = 0.
0, 1
Factor -114*k**3 - 155*k**2 + 5*k - 61*k**3 + 9 + 35*k + 11.
-5*(k + 1)*(5*k - 2)*(7*k + 2)
Let p(r) be the first derivative of -r**6/6 + r**4/2 - r**2/2 - 3. Let p(v) = 0. Calculate v.
-1, 0, 1
Factor 2*f**2 - 2*f**2 + 4*f - 31 + 4*f**2 + 7.
4*(f - 2)*(f + 3)
Let f be 5/2*8/5. Factor -2 + 2*s**2 - s**4 + 1 + 0*s**f.
-(s - 1)**2*(s + 1)**2
Let m(t) be the third derivative of -t**5/210 - 5*t**4/84 - 4*t**3/21 + 19*t**2. Factor m(l).
-2*(l + 1)*(l + 4)/7
Let x be (1 + -1)/(-1 - 2). Factor x*v**2 + 4*v + 0*v**2 + 3*v**2 - 6*v.
v*(3*v - 2)
Suppose 2*d + 0 - 6 = 0. Factor m**5 - 2*m**4 + d*m**5 - m**3 - 5*m**5.
-m**3*(m + 1)**2
Let f(o) be the third derivative of -o**6/1080 + o**4/54 - 9*o**2. Let f(p) = 0. Calculate p.
-2, 0, 2
Let h(k) be the third derivative of 1/40*k**6 + 0*k + 0*k**3 + 7*k**2 + 1/24*k**4 + 0 - 1/20*k**5 - 1/210*k**7. Find m, given that h(m) = 0.
0, 1
Find m such that -2*m**3 - 1/2*m**5 - 2*m**4 + 5/2*m + 1 + m**2 = 0.
-2, -1, 1
Let v(a) be the third derivative of -a**7/210 - a**6/40 - a**5/20 - a**4/24 - 3*a**2. Factor v(f).
-f*(f + 1)**3
Let v(f) be the third derivative of -f**6/60 - f**5/15 - f**2 + 14. Factor v(a).
-2*a**2*(a + 2)
Let i(g) = 10*g**2 - 14. Let s(r) = -2*r**2 + 3. Let y be (-12)/(-20) - (-12)/5. Let q(d) = y*i(d) + 14*s(d). Factor q(h).
2*h**2
Let f(t) = -3*t**2 + 5*t + 2. Let v(c) = -5*c**2 + 10*c + 5. Let l(i) = 5*f(i) - 2*v(i). Factor l(m).
-5*m*(m - 1)
Let l be 8/28 + 0 - (-1 + 1). Let d = 6 + -3. What is o in -2/7*o**5 - 4/7*o + 0 + 6/7*o**d + l*o**4 - 2/7*o**2 = 0?
-1, 0, 1, 2
Let i = 5 - 3. Let v be 2 - i - 10/(-5). Suppose 0 + 0*l + 1/3*l**4 + 1/3*l**v + 2/3*l**3 = 0. Calculate l.
-1, 0
Suppose -2*f = 2*f - 16. Let l(h) = -h**4 - 3*h**2 + 4. Let s(k) = k**4 + 4*k**2 - 5. Let y(m) = f*s(m) + 5*l(m). Solve y(r) = 0 for r.
-1, 0, 1
Factor 0*i**2 - 5/4*i**5 + 5/2*i**4 + 0*i**3 + 0*i + 0.
-5*i**4*(i - 2)/4
Solve -2 - 1 - 51*b**2 - 40*b - 49*b**2 - 1 = 0 for b.
-1/5
Suppose -72/5*h + 12*h**2 + 16/5 + 10*h**3 = 0. What is h?
-2, 2/5
Factor 2*k + 2*k**5 + 4*k**4 + k**3 + k**3 - 2*k.
2*k**3*(k + 1)**2
Let o = -22 - -67/3. Let 0*k + 1/3*k**2 - o = 0. Calculate k.
-1, 1
Let v(y) be the third derivative of -2*y**2 - 7/4*y**4 + 0 - 239/240*y**6 + 9/4*y**5 + 2/3*y**3 + 27/224*y**8 - 3/35*y**7 + 0*y. Find x such that v(x) = 0.
-2, 2/9, 1
Let p be (0/4)/4 - -2. Let v(u) be the first derivative of 1/6*u**2 + 1/9*u**3 + p - 2/3*u. Factor v(o).
(o - 1)*(o + 2)/3
Let u(t) be the second derivative of 0 + 1/60*t**4 - 1/150*t**6 - t + 0*t**2 + 0*t**5 + 0*t**3. Factor u(b).
-b**2*(b - 1)*(b + 1)/5
Let c(z) be the first derivative of 4*z**3/15 - 16*z/5 - 9. Factor c(a).
4*(a - 2)*(a + 2)/5
Solve 0*h**3 + 10/7*h**2 + 0*h - 8/7 - 2/7*h**4 = 0.
-2, -1, 1, 2
Let r(i) be the first derivative of -i**4/36 - i - 1. Let b(x) be the first derivative of r(x). Factor b(z).
-z**2/3
Let h(d) be the second derivative of -7*d**6/30 - 13*d**5/10 - 9*d**4/4 - 2*d**3/3 + 2*d**2 + 7*d. Let h(r) = 0. Calculate r.
-2, -1, 2/7
Factor 6*a - 1/2*a**5 + 3/2*a**4 - 2 - 11/2*a**2 + 1/2*a**3.
-(a - 2)*(a - 1)**3*(a + 2)/2
Let z(n) = -n**3 + 2*n**2 + 3*n + 4. Let j be z(3). Factor 3*g + 5*g - 6*g**3 + 2*g**3 - j*g**2.
-4*g*(g - 1)*(g + 2)
Let k = -62 + 62. Let o(f) be the third derivative of 1/135*f**5 - 1/108*f**4 + k*f**3 - 1/540*f**6 - 3*f**2 + 0 + 0*f. Find m such that o(m) = 0.
0, 1
Factor 29*v**4 - 7*v**2 + 16*v + 224*v**3 + 35*v**4 - 117*v**2.
4*v*(v + 4)*(4*v - 1)**2
Let c = 228 - 2050/9. Factor 2/3*v**2 - 2/9*v**3 - 2/3*v + c.
-2*(v - 1)**3/9
Find s such that -40*s**2 + 16*s**2 + 0*s**3 + 4*s**3 + 12*s**2 + 16 = 0.
-1, 2
Let n be (-6)/(-9) + (-4)/6. Suppose 0*w + 3*w - 15 = n. Determine p, given that 0 - 10/7*p**w + 2*p**3 - 6/7*p**4 - 4/7*p + 6/7*p**2 = 0.
-1, 0, 2/5, 1
Let i(a) be the first derivative of -2 + 0*a**4 - 3/25*a**5 - 1/15*a**6 + 0*a + 1/15*a**3 + 0*a**2. Factor i(g).
-g**2*(g + 1)**2*(2*g - 1)/5
Let f = -2 + 6. Factor -p**f - 5*p**4 + 4*p**4 + 4*p**2 - 2.
-2*(p - 1)**2*(p + 1)**2
Suppose 3*m + p = -p + 19, -5*m - 3*p + 30 = 0. Suppose -2*g + 3 = -m. Let 6*y**4 - g*y**5 + 0*y**5 + 3*y + 0*y - 6*y**2 = 0. Calculate y.
-1, 0, 1
Suppose -4 = -3*b + d, -5*b + 5*d + 10 = -0*b. Let y(p) be the first derivative of -b - 1/3*p**3 - 4*p + 2*p**2. Factor y(w).
-(w - 2)**2
Let y(u) be the third derivative of u**6/1020 - u**5/85 + 2*u**4/51 + 2*u**2 + 45. Factor y(c).
2*c*(c - 4)*(c - 2)/17
Let g(i) = 5*i**3 - 18*i**2 + 25*i - 10. Let d(m) = -10*m**3 + 35*m**2 - 50*m + 20. Let z(b) = 2*d(b) + 5*g(b). Factor z(j).
5*(j - 2)*(j - 1)**2
Let k be 0 - ((-20)/(-24) - 1). Let t(m) be the second derivative of -k*m**2 + 1/12*m**3 - m + 0*m**4 + 0 - 1/120*m**5. Factor t(b).
-(b - 1)**2*(b + 2)/6
Let k(y) be the second derivative of -y**5/50 - y**4/15 + 4*y**3/15 + 8*y**2/5 - y. Suppose k(f) = 0. Calculate f.
-2, 2
Factor -3/7 - 3/7*y**2 - 6/7*y.
-3*(y + 1)**2/7
Let q(i) be the third derivative of -1/72*i**4 - i**2 + 0*i + 1/180*i**5 - 1/9*i**3 + 0. Factor q(o).
(o - 2)*(o + 1)/3
Let y(d) be the third derivative of 0*d**3 + 0*d**4 + 1/1344*d**8 + 2*d**2 + 0*d - 1/480*d**6 + 1/840*d**7 + 0 - 1/240*d**5. Factor y(b).
b**2*(b - 1)*(b + 1)**2/4
Let y be (686/(-1715))/((0 - -1)*-2). What is u in -3*u**2 - 7/5*u - y - 9/5*u**3 = 0?
-1, -1/3
Let v = -42 + 44. Let r(k) be the third derivative of k**v + 0 + 0*k**4 + 0*k**5 + 0*k + 1/120*k**6 + 0*k**3. Factor r(x).
x**3
Let n be -1 + 4 - (-3 + 93). Let f = n + 437/5. What is s in -2/5*s - 4/5 + f*s**2 = 0?
-1, 2
Let h(t) be the second derivative of -t**5/70 + 4*t**4/21 + 3*t**3/7 - 33*t. What is d in h(d) = 0?
-1, 0, 9
Suppose 5*n = 2*r + 5, -n - 5*r - 19 = 7. Let c(q) = 2*q**2 + q + 1. Let j be c(n). Factor 0*m + 0 + 2/9*m**j + 2/9*m**3.
2*m**2*(m + 1)/9
Let o(r) = -r**2 + 8*r - 3. Let i be o(7). Suppose 5*b - 2*b - 2*x = 1, -b + i*x = 13. Find l, given that 3*l**3 + 3*l**4 - 4*l**3 - 8*l**5 + b*l**4 = 0.
0, 1/4, 1/2
Solve 2/5*u**2 + 0 + 0*u = 0 for u.
0
Let j(h) = h**2 - h - 1. Let c(m) = -m**3 + m**2 + 6*m + 8. Let p(v) = c(v) + 6*j(v). Let x be p(7). Find d such that -4*d**x - 3*d + d + 2*d**2 = 0.
-1, 0
Let w(x) = -2*x**3 + 3*x**2 - 3*x + 1. Let l(h) = h**3 + h -