(y) = 0. Calculate y.
-4, -2, -1/4, 0
Suppose 5*o - 391 = r + 311, 0 = -4*o + 2*r + 564. Suppose 3*x + o + x**2 - 140 = 0. What is x?
-3, 0
Let o(x) be the second derivative of x**6/60 - 3*x**5/20 - 2*x**4/3 + x + 152. Factor o(f).
f**2*(f - 8)*(f + 2)/2
Let r(k) = k**2 + 2. Let t be r(-2). Let m = t + -2. Factor m + 2*s**2 - 6*s + s**2 - 1.
3*(s - 1)**2
Let o = 57 - 95/2. Let c = 39/4 - o. Suppose 5/4*r**2 - 3/4*r**5 - 5/4*r**4 + 0 + c*r**3 + 1/2*r = 0. Calculate r.
-1, -2/3, 0, 1
Let l(z) be the first derivative of 3*z**5/5 + 3*z**4/4 + 116. Factor l(f).
3*f**3*(f + 1)
Suppose -18*a**4 - 15*a**4 + 43*a**4 - 19*a**4 - 19*a**4 - 8*a**3 = 0. Calculate a.
-2/7, 0
Let g = -34 - -38. Find o, given that -18 - 17*o**3 + 4*o**4 - 6*o**g - 44*o**2 + o**3 - 48*o = 0.
-3, -1
Suppose 2*s - h + 51 = 0, 17 = -s - h - 1. Let v = 25 + s. Find l, given that 2*l**3 + 1/2 + 9/2*l**v + 3*l = 0.
-1, -1/4
Let a(n) be the third derivative of 16*n**2 + 0 - 1/120*n**6 + 1/210*n**7 + 0*n**5 + 0*n**4 + 0*n**3 + 0*n. Factor a(g).
g**3*(g - 1)
Let d be ((-14)/7)/(0 + -1). Factor -10*m**2 + d*m**2 + 6*m**2 - 2*m.
-2*m*(m + 1)
Find z, given that 68*z**3 - 275*z**2 + 40*z - 28*z**3 + 80*z + 155*z**3 - 35*z - 5 = 0.
1/13, 1/3, 1
Let b = 38 - 30. Factor -4*f**4 - 32*f**3 - 12 + 0*f**2 + b*f**3 - 53*f**2 + 5*f**2 - 40*f.
-4*(f + 1)**3*(f + 3)
Let c = -18756 - -18759. Factor -2/11*v - 6/11*v**2 - 2/11*v**4 + 0 - 6/11*v**c.
-2*v*(v + 1)**3/11
Let c(h) be the first derivative of 7*h**6/45 + 3*h**5/10 + h**4/9 + 46*h - 41. Let t(a) be the first derivative of c(a). Factor t(y).
2*y**2*(y + 1)*(7*y + 2)/3
Let l(c) be the second derivative of -c**5/10 - c**4/2 - 2*c**3/3 + 270*c. Determine x, given that l(x) = 0.
-2, -1, 0
Let k(s) be the second derivative of 26/3*s**3 - s + 14/5*s**5 - 4*s**2 + 0 - 25/3*s**4. Let k(f) = 0. Calculate f.
2/7, 1/2, 1
Let d(o) be the third derivative of o**7/490 + o**6/280 - o**5/140 - o**4/56 + 3*o**2 - 141*o. Factor d(n).
3*n*(n - 1)*(n + 1)**2/7
Let q(y) be the first derivative of 5/2*y**2 - 6*y - 1/3*y**3 - 1. Factor q(l).
-(l - 3)*(l - 2)
Let b = -30 - -42. Solve -b*h**5 - 3*h**4 + 55*h**4 + 43*h**2 - 76*h**3 + h**2 - 8*h = 0 for h.
0, 1/3, 1, 2
Let s = -142 + 145. Find g, given that -15*g**s + 20*g**2 - 45/2 + 15*g + 5/2*g**4 = 0.
-1, 1, 3
Let w(f) be the second derivative of f**6/480 + f**5/120 - f**4/96 - f**3/12 + f**2 + 57*f. Let j(v) be the first derivative of w(v). Solve j(n) = 0.
-2, -1, 1
Let s = 211 + -207. Determine c so that 2/17*c + 0*c**3 - 2/17*c**5 - 4/17*c**2 + 4/17*c**s + 0 = 0.
-1, 0, 1
Suppose 2*n + 0 - 36 = 0. Let f be 1 - 2/6 - n/189. Determine d, given that 8/7*d**3 - 8/7*d**2 + f - 4/7*d - 4/7*d**5 + 4/7*d**4 = 0.
-1, 1
Let s be 2*(18 + 424/(-24)). Factor 2/3*c**5 - 8/3*c**2 - 8/3*c**4 + 4*c**3 + 0 + s*c.
2*c*(c - 1)**4/3
Let x(y) be the second derivative of -27*y**5/20 - 5*y**4 - 2*y**3 - y + 1. Find d, given that x(d) = 0.
-2, -2/9, 0
Let c(a) be the first derivative of 1/10*a**4 + a**2 + 8/15*a**3 + 27 + 4/5*a. Factor c(u).
2*(u + 1)**2*(u + 2)/5
Let u be 1/2 - -78*(-10)/(-360). Find s, given that 0 + 4/9*s**3 + 0*s - 4/9*s**4 + u*s**2 = 0.
-2, 0, 3
Let t(s) = -s**3 + 1. Let u be t(-1). Determine d, given that 10/3*d + 2/3*d**3 - 4/3 - 8/3*d**u = 0.
1, 2
Suppose -r - 3*a = -6, -3*a + 2*a = 5*r - 30. Let z be (-18)/(-4)*16/r. Factor -2*b**2 + z*b - 4 - 8*b + 2 + 0*b.
-2*(b - 1)**2
Let q(y) be the first derivative of -1/16*y**4 - 3/8*y**2 + 0*y - 1/20*y**5 + 5/12*y**3 - 16. Factor q(l).
-l*(l - 1)**2*(l + 3)/4
Let c be -1 + 10/60*18. Let b(f) be the second derivative of 0*f**2 + 0 - 1/15*f**6 - 1/2*f**4 + 1/2*f**5 - 3*f**3 + c*f. Factor b(q).
-2*q*(q - 3)**2*(q + 1)
Factor -108/7 - 58/7*u**3 - 198/7*u**2 - 270/7*u - 6/7*u**4.
-2*(u + 3)**3*(3*u + 2)/7
Let m(c) = -c**2 - 10*c + 20. Let l be m(-10). Factor -12 - 3 - 1 + 0*o**2 - 4*o**2 - l*o.
-4*(o + 1)*(o + 4)
Let q be (0 + -10)*2/4. Let v = q - -7. Find a such that 4*a - 3*a - a**3 - 2*a**v + 2 + 0 = 0.
-2, -1, 1
Let s(r) be the third derivative of -5*r**8/1344 + r**7/18 + r**6/12 - 11*r**4/8 + 36*r**2. Let t(a) be the second derivative of s(a). Factor t(h).
-5*h*(h - 6)*(5*h + 2)
Let b(d) be the first derivative of -d**2 - 1/30*d**5 - 13/18*d**3 - 2/3*d - 33 - 1/4*d**4. Let b(g) = 0. Calculate g.
-2, -1
Let f(l) be the first derivative of 5*l**4/12 + 145*l**3/9 + 275*l**2/6 + 45*l + 171. Factor f(q).
5*(q + 1)**2*(q + 27)/3
Let f(n) be the first derivative of 8 + 8/9*n**2 + 7/9*n**3 + 1/4*n**4 + 4/9*n. Factor f(o).
(o + 1)*(3*o + 2)**2/9
Let o(b) = 3*b + 37. Let w be o(-12). Let l be (0/(4 - w))/(-1). Factor 1/4*n**3 + 1/2*n - 3/4*n**2 + l.
n*(n - 2)*(n - 1)/4
Let w(b) = 16*b**3 - 155*b**2 + 1275*b - 1147. Let i(d) = 3*d**3 - 31*d**2 + 255*d - 229. Let r(m) = -22*i(m) + 4*w(m). Find h such that r(h) = 0.
1, 15
Let r be (-3)/(-12)*(-78 - -86). Solve 400/3*f**4 - 485/3*f**3 - 125/3*f**5 + 278/3*f**r + 8/3 - 76/3*f = 0 for f.
2/5, 1
Let m(o) = -27*o**3 + 48*o**2 - 108*o - 12. Let a(b) = -2*b**3 + b**2 - 1. Let f(j) = -12*a(j) + m(j). Factor f(v).
-3*v*(v - 6)**2
Let u(l) be the third derivative of 0*l**4 + 0*l - 19*l**2 + 1/12*l**5 + 0 + 0*l**3. Let u(s) = 0. What is s?
0
Let k be 2 + -3 + 1 - (7 - 10). Solve -3/2*l**2 + 3/2*l**k - 3*l + 0 = 0 for l.
-1, 0, 2
Suppose 3*v + 5*w = 20 + 5, 0 = -4*v - 3*w + 15. Suppose 3*z - 3*q - 1 = 8, 3*z + 2*q - 4 = v. Factor 1/4*n**5 - z + 7*n + 25/4*n**3 - 19/2*n**2 - 2*n**4.
(n - 2)**3*(n - 1)**2/4
Let n(p) be the third derivative of -9*p**4/8 + 11*p**3/2 + 36*p**2. Let y(c) = c**2 + c + 1. Let s(o) = -n(o) - 3*y(o). Let s(k) = 0. What is k?
2, 6
Solve -l + 6*l**2 + 5*l - 357 + 154 - l**3 + 179 = 0.
-2, 2, 6
Let w(f) be the second derivative of f**7/840 + f**6/240 - f**4/48 - f**3/24 - 5*f**2 - 5*f. Let i(v) be the first derivative of w(v). Factor i(g).
(g - 1)*(g + 1)**3/4
Suppose 52*j + 19*j - 16*j = 0. Let h(r) be the third derivative of 0*r + j*r**3 + 1/100*r**5 + 1/20*r**4 - 13*r**2 + 0. Find q, given that h(q) = 0.
-2, 0
Suppose 31*m - 42*m = -33. Factor 5/4 - 5/4*b**2 - 5/4*b + 5/4*b**m.
5*(b - 1)**2*(b + 1)/4
Let h(a) be the second derivative of a**5/130 - a**4/78 - a**3/39 + a**2/13 - 20*a + 4. Factor h(u).
2*(u - 1)**2*(u + 1)/13
Let a be 35/(-20) - (-2)/(-8). Let t be ((-8)/6)/(a/6). Factor -t*v**2 + 6*v**3 + 4*v**2 - 3*v**3 - 3*v.
3*v*(v - 1)*(v + 1)
Suppose 7*k - 12*k + 10 = 0. Factor -22*n**2 + 10*n**k + 11*n**2.
-n**2
Suppose 4 + 36 = -5*q. Let i(m) = -m**2 - 8*m. Let l be i(q). Factor -6/5*a**4 + l*a - 2/5*a**2 - 6/5*a**3 + 0 - 2/5*a**5.
-2*a**2*(a + 1)**3/5
Let o(f) = -6*f**4 + 17*f**3 + 66*f**2 + f - 7. Let t(l) = -9*l**4 + 26*l**3 + 99*l**2 + 4*l - 10. Let j(a) = 10*o(a) - 7*t(a). Factor j(d).
3*d*(d - 6)*(d + 1)**2
Let g(r) = -r**2 - 3*r - 3. Let v(y) = y**2 + 3*y + 2. Let f(c) = 2*g(c) + 3*v(c). Let j be f(-3). Factor -2/5*q**4 + j*q + 4/5*q**2 - 2/5*q**3 + 0.
-2*q**2*(q - 1)*(q + 2)/5
Let h = -7/6 - -31/18. Let l(r) be the second derivative of -5*r + 0*r**2 + 0 + 4/9*r**3 - h*r**4. Factor l(y).
-4*y*(5*y - 2)/3
Let d(b) be the third derivative of -1/30*b**5 + 0 + 0*b + 0*b**3 + 12*b**2 + 1/12*b**4. Factor d(o).
-2*o*(o - 1)
Let x(c) = -c**3 - 8*c**2 - 13*c + 14. Let i be x(-5). Factor 2*w**2 - 8 - 7*w**2 - 6*w + i*w**2 + 0*w**2.
-(w + 2)*(w + 4)
Let a = 25 - 11. Suppose z + a = 3*x, 0 = -3*x + x + 5*z + 5. Factor -c**2 + 3*c**2 + 3*c - x*c**2.
-3*c*(c - 1)
Suppose t = 4*o - 18 - 2, -24 = -5*o + t. Suppose 0 = -0*x - o*x + 24. Factor x*i**2 + 2*i**2 - 5*i**2 + 3*i.
3*i*(i + 1)
Suppose 0 = 15*d - 6*d - 18. Factor 5 + 4*s**d - 5 - 3*s + 2*s**2.
3*s*(2*s - 1)
Solve -2226/11*n**4 + 48/11*n + 392/11*n**5 + 136/11*n**2 + 0 - 780/11*n**3 = 0 for n.
-2/7, 0, 1/4, 6
Let y(u) be the second derivative of -u**5/40 - 11*u**4/24 - 3*u**3/2 + u + 70. Let y(z) = 0. Calculate z.
-9, -2, 0
Let k(l) = 4*l**3 + 162*l**2 + 3198*l - 3362. Let c(u) = 9*u**3 + 324*u**2 + 6396*u - 6724. Let a(q) = -2*c(q) + 5*k(q). Factor a(i).
2*(i - 1)*(i + 41)**2
Suppose -g + 2*g + 3*j - 2 = 0, 2*g = -4*j + 4. What is a in 8/3*a**5 - g*a**4 - 4/3 - 26/3*a**3 + 34/3*a**2 - 2*a = 0?
-2, -1/4, 1
Let c(j) be the second derivative of -j**4/60 + 5*j**3/3 - 125*j**2/2 - 28*j. Factor c(u).
-(u - 25)**2/5
Let d(b) = 4*b**2 + 6*b + 5. Let k be d(-1). Suppose 5*q