2, -1, 0, 1
Let h = -1/77 - 1769/154. Let v = h + 12. Factor v*k**2 + 0 + k.
k*(k + 2)/2
Let f = 22 + -20. Let v(h) be the first derivative of -8/5*h**5 - 3*h**4 - 8/3*h**3 + 1 - h**f - 1/3*h**6 + 0*h. Factor v(s).
-2*s*(s + 1)**4
Let r(s) be the first derivative of s**6/10 + 2*s**5/5 + s**4/3 - 4*s - 3. Let j(l) be the first derivative of r(l). Factor j(i).
i**2*(i + 2)*(3*i + 2)
Let v = 55 - 52. Let b(z) be the third derivative of z**2 + 1/20*z**6 + 0 + 0*z + 1/15*z**v - 7/60*z**4 + 7/150*z**5. Find p, given that b(p) = 0.
-1, 1/5, 1/3
Let c(v) be the second derivative of 0*v**5 + 0*v**3 - 2*v + 0*v**4 + 0 - 1/90*v**6 + 0*v**2. Find w, given that c(w) = 0.
0
Suppose -c = 3*o + 3, -c = -3*c + 5*o - 6. Let m(p) = -p**3 + 6*p**2 + 1. Let k(a) = -a**2 - a. Let d(i) = c*k(i) - m(i). Factor d(l).
(l - 1)**3
Let r(v) = -2*v - 19. Let y(x) = -x - 10. Let i(t) = -6*r(t) + 11*y(t). Let j be i(-4). Suppose 0 + j*z + 1/5*z**2 + 1/5*z**3 = 0. Calculate z.
-1, 0
Let o be ((-5)/(-7) + -1)/(14/(-42)). Factor 4/7*i + 0 + 2/7*i**4 + 0*i**3 - o*i**2.
2*i*(i - 1)**2*(i + 2)/7
Let y(i) be the first derivative of -9*i**5/10 - 3*i**4/4 + 2*i**3 + 3*i**2/2 - 3*i/2 - 2. Let y(d) = 0. Calculate d.
-1, 1/3, 1
Let u(h) be the first derivative of 9/2*h**2 + 2 - 3*h**3 + 3/4*h**4 - 3*h. Factor u(o).
3*(o - 1)**3
Suppose 2 = -0*o + 2*o. Let r(k) = -4*k**5 + k**4 - 2*k**3 - k**2 - 3*k. Let n(v) = -v**5 - v**3 - v. Let m(s) = o*r(s) - 3*n(s). Factor m(h).
-h**2*(h - 1)**2*(h + 1)
Let a(z) be the second derivative of -z**7/14 + z**6/5 + 3*z**5/20 - z**4/2 + 13*z. Find k, given that a(k) = 0.
-1, 0, 1, 2
Let u(b) be the first derivative of -b**9/4536 + b**7/1260 + 5*b**3/3 + 3. Let l(x) be the third derivative of u(x). Let l(i) = 0. What is i?
-1, 0, 1
Let u be (-2)/(-9) + 61/9. Let f = u + -2. Factor -3*h**2 + 6*h**3 + 0*h**3 + h**2 + 2*h**f - 6*h**4.
2*h**2*(h - 1)**3
Let f(n) = -4*n**2 + 1. Let i be f(1). Let v(t) = -2*t**2 + 2. Let j(m) = -m**2 - m + 2. Let x(w) = i*j(w) + 2*v(w). Factor x(q).
-(q - 2)*(q - 1)
Let d(n) = -2*n - 4. Let x be d(-3). Let z(y) be the second derivative of 0 - 2/3*y**3 - 1/2*y**x - 1/4*y**4 + 2*y. Find i, given that z(i) = 0.
-1, -1/3
Let x(z) be the second derivative of 0*z**2 - 1/10*z**5 + 2/3*z**4 - 4/3*z**3 + 0 - 8*z. Factor x(o).
-2*o*(o - 2)**2
Let q = -2/4277 + -632986/21385. Let t = q - -30. What is g in 9/5*g**4 + 0 - 9/5*g**2 - g**3 - t*g + 7/5*g**5 = 0?
-1, -2/7, 0, 1
Let y(z) = 6 + 0 + 4 - z. Let k be y(8). Factor -1/2*l**4 + l + 0*l**k + 1/2 - l**3.
-(l - 1)*(l + 1)**3/2
Factor 26*a - 11*a + 2*a**2 + 3*a**2.
5*a*(a + 3)
Let k = -697/3 - -233. Factor -1/3*r**2 + k*r - 1/3.
-(r - 1)**2/3
Determine p, given that 2/9*p**2 + 0*p - 2/9 = 0.
-1, 1
Let k be (15/(-10) + 3)*4/3. Let 1/4*h**k - 1/4 - 1/4*h + 1/4*h**3 = 0. Calculate h.
-1, 1
Let y(t) = t + 1. Suppose 5*u = 4*p - 17, -2*p - 3*p = -4*u - 19. Let d be y(u). Solve -a**5 + 0*a**4 - a**4 + d*a**3 + a**3 + a**2 = 0 for a.
-1, 0, 1
Suppose 2*t = -4*o - 0*t - 4, -2*o + 4 = 4*t. Let j = o - -2. Factor j*v - 1/2*v**2 + 0 + 1/2*v**3.
v**2*(v - 1)/2
Suppose 12/7*g**2 + 0*g + 4/7*g**3 - 16/7 = 0. What is g?
-2, 1
Let d(s) = -s**3 - s**2. Let j be d(0). Let p(k) be the second derivative of k + j + 0*k**3 - 2/15*k**6 + 1/7*k**7 - 1/10*k**5 + 0*k**2 + 0*k**4. Factor p(x).
2*x**3*(x - 1)*(3*x + 1)
Suppose -4 = 3*q - 10. Find c such that 2*c**q - 5 + 6 - 3 = 0.
-1, 1
Let p be 85/2*1/10. Let f = p + -15/4. Suppose 0*c**2 - 3/2*c + f*c**3 - 1 = 0. Calculate c.
-1, 2
Let w(y) = y**2 - 3*y - 4. Let d be w(5). Factor t**2 - d*t + 4*t - 2*t**3 + 3*t**2.
-2*t*(t - 1)**2
Suppose -j + 9 = -0*j + a, a = 5*j - 51. Let y = j + -10. Solve 1/4*t**4 - 1/2*t + y*t**2 - 1/4 + 1/2*t**3 = 0.
-1, 1
Suppose -4*q + 470 = -5*t + q, t + 104 = -q. Let s = t - -893/9. Factor 0*d + 2/9*d**2 - s.
2*(d - 1)*(d + 1)/9
Let d(b) be the first derivative of 16*b**2 + 2/3*b**6 + 4/5*b**5 - 16*b - 6 - 4/3*b**3 - 5*b**4. Factor d(g).
4*(g - 1)**3*(g + 2)**2
Factor o**2 + 66 - 68 - o - 3*o**2 + 3*o**2.
(o - 2)*(o + 1)
Let d(j) be the second derivative of -2/3*j**6 + 0 - 9/5*j**5 - 7*j - 2/21*j**7 + 0*j**2 - 7/3*j**4 - 4/3*j**3. Suppose d(r) = 0. What is r?
-2, -1, 0
Let y(a) be the third derivative of -1/150*a**5 + 0*a + 0 - 3*a**2 - 1/15*a**4 - 4/15*a**3. Factor y(l).
-2*(l + 2)**2/5
Factor 1/4*g**4 + 1/2*g**3 - 1/4*g**5 + 1/4 - 1/2*g**2 - 1/4*g.
-(g - 1)**3*(g + 1)**2/4
Let p(f) be the second derivative of 3/25*f**5 + 0*f**3 - 2/105*f**7 + 0*f**2 + 0*f**6 + 2*f + 0 - 2/15*f**4. What is j in p(j) = 0?
-2, 0, 1
Let s be (-6)/(-5)*(-50)/(-4). Let q be (-12)/s*10/(-4). Factor -4/9*i - 2/9 - 2/9*i**q.
-2*(i + 1)**2/9
Let h(s) be the second derivative of -s**7/210 + s**6/30 + 3*s**5/50 + 33*s. What is d in h(d) = 0?
-1, 0, 6
Let u(d) be the second derivative of -d**5/20 + d**4/4 - d**3/3 + 5*d. Factor u(m).
-m*(m - 2)*(m - 1)
Suppose 0 = 3*q - 0 - 6. Let m be 2/4 - (-45)/18. Factor -5*p**2 - p**m + 3*p**q + p**2.
-p**2*(p + 1)
Let t(v) be the second derivative of v**5/30 + v**4/36 - 5*v**3/18 + v**2/3 - 8*v. Find z, given that t(z) = 0.
-2, 1/2, 1
Let h be (-1)/(-3) + 20/3. Let i(n) = -n**3 + 4*n**2 - 3*n - 1. Let a = 33 + -27. Let l(p) = p**3 - 3*p**2 + 3*p + 1. Let w(s) = a*i(s) + h*l(s). Factor w(k).
(k + 1)**3
Let l(k) be the third derivative of 5*k**6/132 - k**5/66 - 4*k**4/33 - 4*k**3/33 + 8*k**2. Let l(s) = 0. What is s?
-2/5, 1
Let w(h) be the second derivative of -h**5/60 + h**4/18 - h**3/18 - 19*h. Suppose w(a) = 0. What is a?
0, 1
Let u(l) be the first derivative of 5*l**6/6 - 4*l**5 + 5*l**4 + 10*l**3/3 - 25*l**2/2 + 10*l + 20. Factor u(o).
5*(o - 2)*(o - 1)**3*(o + 1)
Suppose -5*u + 5*i - 3 = -u, 3*i = 3*u. Let k(h) be the first derivative of 0*h**2 - 4 + 0*h + 2/3*h**u + 1/4*h**4. Factor k(l).
l**2*(l + 2)
Let q(r) be the third derivative of r**5/300 - 3*r**2. Suppose q(h) = 0. What is h?
0
Let t(z) = -z**2 + 6*z - 6. Let a be t(5). Let l be (7 - a)*(-12)/(-16). Suppose 3*j**2 - 9*j**2 + l*j - 3*j + 3 = 0. What is j?
-1/2, 1
Let k(d) = -5*d**4 + 15*d**3 + 65*d**2 + 5*d. Let s(i) = 7*i**4 - 23*i**3 - 98*i**2 - 8*i. Let w(j) = 8*k(j) + 5*s(j). Suppose w(l) = 0. What is l?
-2, 0, 3
Let j(y) be the first derivative of y**3/12 + y**2/2 + 3. Find s, given that j(s) = 0.
-4, 0
Let y(r) = r - 34. Let a be y(36). Factor -12*i**3 - 192*i + 192 + 3/4*i**4 + 72*i**a.
3*(i - 4)**4/4
Let x be (414/(-240))/(18/(-5)). Let b = x - -3/16. Factor b*h**2 + 1/3*h**5 + 0*h**3 - 1/3*h + 0 - 2/3*h**4.
h*(h - 1)**3*(h + 1)/3
Let q(y) = y**3 - 2*y**2 + 2*y - 4. Let k(j) = -4*j**3 + 9*j**2 - 9*j + 17. Suppose 5*x - 2*x = 78. Let h(t) = x*q(t) + 6*k(t). Factor h(d).
2*(d - 1)*(d + 1)**2
Let g(r) = 5*r**3 + 17*r**2 + 8*r + 2. Let f(j) = -10*j**3 - 35*j**2 - 15*j - 5. Let v(p) = 2*f(p) + 5*g(p). Factor v(o).
5*o*(o + 1)*(o + 2)
Let s(x) = 25*x**5 - 6*x**4 - 4*x**3. Let j(t) = -24*t**5 + 6*t**4 + 3*t**3. Let c(f) = 4*j(f) + 3*s(f). Solve c(q) = 0.
0, 2/7
Let n = -10 - -15. Let c(t) be the second derivative of 0 - 1/20*t**n + 1/4*t**3 + t + 1/4*t**2 + 1/12*t**4 - 1/84*t**7 - 1/20*t**6. Factor c(p).
-(p - 1)*(p + 1)**4/2
Let w(d) = d**5 - d**4 - d**3 - d**2 - d - 1. Let u(k) = 3*k**4 - 2*k**3 + k**2 + k + 1. Let p(i) = -u(i) - w(i). Suppose p(x) = 0. What is x?
-3, 0, 1
Find a, given that 2/11*a**5 + 0*a + 0*a**4 + 0*a**2 + 0 - 2/11*a**3 = 0.
-1, 0, 1
Let o = -23 - -23. Let p(z) be the first derivative of -2 + 0*z**2 + 0*z + 0*z**3 + o*z**4 - 3/10*z**5. Let p(l) = 0. What is l?
0
Let x(p) = -2*p - 15. Let s be x(-10). What is k in 0*k**2 + k**2 + 2*k**4 - s*k**2 - 2*k**3 = 0?
-1, 0, 2
Suppose 2*a = 3*a - 4*q + 14, -3*a = -5*q + 7. Let z be -4*((-20)/a - -3). Let -7/3*f**2 + z + 8/3*f - 5/3*f**3 = 0. Calculate f.
-2, -2/5, 1
Find l such that 4/5*l - 8/5*l**2 + 0 + 4/5*l**3 = 0.
0, 1
Let l = 7 + -13/2. Suppose 0 + r**3 + 0*r - l*r**4 - 1/2*r**2 = 0. Calculate r.
0, 1
Let r(q) be the second derivative of -2*q + 0*q**2 + 0 + 0*q**3 + 0*q**4 - 1/20*q**6 + 1/84*q**7 + 1/20*q**5. Factor r(i).
i**3*(i - 2)*(i - 1)/2
Let m(i) = i**3 + 66*i**2 + 119*i + 54. Let o(c) = 3*c**3 + 231*c**2 + 417*c + 189. Let w(k) = 18*m(k) - 5*o(k). Factor w(t).
3*(t + 1)**2*(t + 9)
Let o(q) be the first derivative of -3/7*q**4 - 18/35*q**5 + 0*q + 0*q**2 - 5 - 2/21*q**3. Find y su