11*p = 0.
-1, 1
Let t(j) = -j**3 + 3*j + 6. Let u(o) = 1. Let s(y) = -t(y) + 4*u(y). Factor s(q).
(q - 2)*(q + 1)**2
Let u = -4491 - -23307/5. Let l = -169 + u. Let -3/5*d**3 - 2/5 - 8/5*d**2 - l*d = 0. What is d?
-1, -2/3
Let m(o) be the third derivative of 0*o**3 + 2*o**2 - 1/84*o**4 + 0 + 0*o - 1/105*o**5 - 1/420*o**6. Factor m(t).
-2*t*(t + 1)**2/7
Let l(f) be the third derivative of 0*f + 1/60*f**5 + 0*f**3 + 0 + 0*f**4 - 1/360*f**6 - f**2. Solve l(k) = 0 for k.
0, 3
Let x(d) be the first derivative of -d**8/120 - 3*d**7/140 - d**6/90 + d**3 - 2. Let t(s) be the third derivative of x(s). Find l such that t(l) = 0.
-1, -2/7, 0
Suppose -4*c + 2*n = -10, 2 = 2*n - 4*n. Solve 3*w**4 - 1 + 6*w + 4 - 12*w**3 + 18*w**c - 18*w = 0 for w.
1
What is d in 6*d**2 + 4 + 4*d**3 - 6*d**3 + 2*d**2 - 10*d = 0?
1, 2
Let l(t) = t**4 - 4*t**3 + t - 4. Let a(z) = -4*z**4 + 16*z**3 + z**2 - 3*z + 16. Let x(k) = -6*a(k) - 26*l(k). Find i such that x(i) = 0.
-1, 1, 2
Let i be (1*2*-2)/(-1). Let h be (-4)/(-3) + 2/3. Factor z - i*z - z**2 + h*z.
-z*(z + 1)
Let a(x) be the first derivative of x**4/6 - 4*x**3/9 - 7*x**2/3 - 8*x/3 - 15. Factor a(t).
2*(t - 4)*(t + 1)**2/3
Let q(m) = -m**3 - 3*m**2 + 3*m. Let t be 1*-6*4/6. Let u be q(t). Factor -1 - 4*y**u + 5*y**2 - 2*y**3 - 1/2*y + 5/2*y**5.
(y - 1)**3*(y + 1)*(5*y + 2)/2
Let i(k) be the first derivative of -k**3/12 - 3*k**2/4 - 9*k/4 - 12. Let i(o) = 0. What is o?
-3
Let i(u) = u**3 + 2*u**2 - 7*u. Let j(t) = 3*t**2 - 6*t. Let b(k) = 3*i(k) - 4*j(k). Factor b(l).
3*l*(l - 1)**2
Let y(p) be the third derivative of 1/120*p**5 + 0*p**4 + 0*p**3 + 0 + 1/160*p**6 + 0*p - p**2 - 1/168*p**7. Determine g so that y(g) = 0.
-2/5, 0, 1
Let a(r) be the second derivative of r**9/20160 - r**8/13440 - r**7/10080 + r**4/6 + 3*r. Let i(z) be the third derivative of a(z). Find v such that i(v) = 0.
-1/3, 0, 1
Let n(v) = -v**3 + 4*v**2 + v - 4. Let l(t) = t - 3. Let o be l(7). Let q be n(o). Solve 0 - 2*b**2 - 2*b**3 + q = 0.
-1, 0
Let i(n) be the second derivative of -1/3*n**3 + 0*n**2 + 1/5*n**5 - 4*n + 1/10*n**6 - 1/12*n**4 + 0. Find j, given that i(j) = 0.
-1, 0, 2/3
Let h(g) = -6*g**4 - 12*g**3 - 15*g**2 - 9*g - 3. Let x(i) = i**4 + i + 1. Let l(p) = -h(p) - 3*x(p). Factor l(k).
3*k*(k + 1)**2*(k + 2)
Suppose -5*z + 15 = -0. Let o = 3 - z. Factor o*y**2 - 6*y**2 + 4 - 2*y**3 - 6*y - 6.
-2*(y + 1)**3
Let p(j) be the third derivative of -j**5/330 - j**4/22 - 3*j**3/11 + 12*j**2. Determine o, given that p(o) = 0.
-3
Determine o, given that 0 + 0*o**3 + 3/5*o**2 - 3/5*o**4 + 0*o = 0.
-1, 0, 1
Suppose -68 = -3*s + s - 4*c, c = -3*s + 77. Let v = -47/2 + s. Solve 0*q + v*q**5 + 0 - q**4 + 1/2*q**3 + 0*q**2 = 0 for q.
0, 1
Let s(t) = 2*t**5 + 7*t**4 + 11*t**3 - 5*t**2 - 13*t - 8. Let m(f) = f**4 + f**3 + f**2 - f. Let r(v) = -6*m(v) - 2*s(v). Solve r(o) = 0 for o.
-2, -1, 1
Determine n, given that 0*n**4 + 3/7*n**5 + 3/7*n - 6/7*n**3 + 0*n**2 + 0 = 0.
-1, 0, 1
Let l(t) be the second derivative of -t**8/1680 + t**6/180 - 7*t**4/12 - 7*t. Let d(r) be the third derivative of l(r). Factor d(f).
-4*f*(f - 1)*(f + 1)
Let a(v) be the third derivative of -v**2 + 0*v**3 + 0*v - 1/420*v**6 + 0 + 1/210*v**5 + 0*v**4. Suppose a(i) = 0. Calculate i.
0, 1
Factor -9*t - 6 + 0*t + 2*t**2 - 2*t**2 - 3*t**2.
-3*(t + 1)*(t + 2)
Let l(d) be the third derivative of -d**9/1512 + d**7/210 - d**5/60 + d**3/2 - 7*d**2. Let k(r) be the first derivative of l(r). Solve k(m) = 0 for m.
-1, 0, 1
Suppose 4*f - 8 = 4. Factor u**f + 48 - 48 - 2*u**2.
u**2*(u - 2)
Let u(i) be the third derivative of -1/280*i**7 + 0*i + 1/32*i**4 + 0 + 0*i**3 - 1/160*i**6 + 1/80*i**5 + 4*i**2. Factor u(k).
-3*k*(k - 1)*(k + 1)**2/4
Let q(m) be the first derivative of -m**4/18 + 2*m**3/3 - 8*m**2/3 + 32*m/9 + 12. Factor q(c).
-2*(c - 4)**2*(c - 1)/9
Suppose -m + 3*w = -3, -5*m + w + w = -15. Let p = 45 - 45. Find s, given that p*s + 1/4*s**m + 0 + 1/2*s**2 = 0.
-2, 0
Let o(c) = -3*c**2 + 13*c + 53. Let m(q) = -q**2 + 7*q + 27. Let d(p) = 5*m(p) - 3*o(p). Factor d(h).
4*(h - 3)*(h + 2)
Suppose -8 = -9*s - 8. Let -1/2*c**3 + s*c**2 - 1/4 + 1/4*c**4 + 1/2*c = 0. Calculate c.
-1, 1
Let s(x) = x**3 + 3*x**2 - 2. Suppose -3*u = 2*j + 4, 5*j - u + 2 = -8. Let r be s(j). Let t + t**3 + 2*t**4 - t**4 - t**2 - r*t + 0*t**2 = 0. Calculate t.
-1, 0, 1
Suppose -2*d = 4*j, 0*d - 5*d - 20 = 0. Factor 0*c**j + 4*c**2 + 2*c**3 - 3*c**3 - 3*c**3.
-4*c**2*(c - 1)
Let t be (-2 + (-26)/(-9))*3. Determine w so that -t - 14/3*w**3 - 10/3*w**2 + 32/3*w = 0.
-2, 2/7, 1
Factor 4*t**3 - 3/2*t + 0 + 5/2*t**2.
t*(t + 1)*(8*t - 3)/2
Determine n, given that 0 - 165/8*n**4 + 21/2*n**2 + 9/4*n**3 - 75/8*n**5 - 3*n = 0.
-2, -1, 0, 2/5
Determine o, given that -18/7*o**4 - 36/7*o**3 - 16/7*o**2 + 4/7*o + 2/7 = 0.
-1, -1/3, 1/3
Suppose 3*d + n = 2*n + 7, -2*d + 2*n + 6 = 0. Factor -4*h**2 - 3*h + 3*h**2 + d + 2*h**2.
(h - 2)*(h - 1)
Let v(s) be the second derivative of -1/12*s**4 - 2*s**2 + 2*s - 2/3*s**3 + 0. Let v(g) = 0. Calculate g.
-2
Suppose -3*m - m + 16 = 0. Let t be 8/(-21) + m/6. Factor -4/7 + t*a + 2/7*a**2.
2*(a - 1)*(a + 2)/7
Let l(t) be the third derivative of t**5/180 + t**4/24 + t**3/9 - 9*t**2. Suppose l(m) = 0. What is m?
-2, -1
Let y(o) = -o**4 - 7*o**3 + 17*o**2 + o. Let n(x) = -x**4 - 3*x**3 + 9*x**2 + x. Let z(i) = -5*n(i) + 3*y(i). Solve z(g) = 0 for g.
0, 1
Let m(k) = 2*k + 20. Let j be m(-10). Let a(h) be the first derivative of h**3 + 2 + 3/2*h**2 + j*h. Factor a(f).
3*f*(f + 1)
Let c = 1213247/78 + -15554. Let x = 2/39 + c. Factor -1/2*r**3 + 1/2*r**5 + 1/2*r**2 + 0*r + 0 - x*r**4.
r**2*(r - 1)**2*(r + 1)/2
Factor -16/9 + 4/9*a**2 + 8/9*a - 2/9*a**3.
-2*(a - 2)**2*(a + 2)/9
Suppose s - 25 = 2*k - 19, 5*s = -4*k + 2. Factor -9/4*a**s + 0 - 3/2*a**3 - 3/4*a.
-3*a*(a + 1)*(2*a + 1)/4
Let d(t) be the third derivative of 1/10*t**5 + 0*t + t**2 - 9/8*t**4 + 0 - t**3 + 9/40*t**6. Factor d(h).
3*(h - 1)*(h + 1)*(9*h + 2)
Let b(c) be the first derivative of -7*c**5/40 - 2*c**4/3 - 11*c**3/12 - c**2/2 + 5*c + 3. Let p(v) be the first derivative of b(v). Factor p(u).
-(u + 1)**2*(7*u + 2)/2
Let u(m) be the first derivative of m**5/270 - m**4/54 + m**3/27 - m**2 - 2. Let o(d) be the second derivative of u(d). Factor o(y).
2*(y - 1)**2/9
Let x(t) be the second derivative of 0 + 1/21*t**4 - 1/7*t**2 + 0*t**5 + 5*t - 1/105*t**6 + 0*t**3. Factor x(m).
-2*(m - 1)**2*(m + 1)**2/7
Let j(o) be the third derivative of o**7/84 - o**6/24 - o**5/24 + 5*o**4/24 - 2*o**2. Factor j(w).
5*w*(w - 2)*(w - 1)*(w + 1)/2
Let t(j) be the first derivative of j**4/16 - 5*j**3/12 + 3*j**2/8 + 9*j/4 - 22. Find q, given that t(q) = 0.
-1, 3
Let v(h) be the first derivative of h**6/360 - h**5/60 + h**4/36 - h**2 + 1. Let c(u) be the second derivative of v(u). Find i such that c(i) = 0.
0, 1, 2
Suppose 0 = -39*v + 37*v + 4. Determine n so that -3/4*n - 1/4 + 3/4*n**4 + 1/2*n**3 + 1/4*n**5 - 1/2*n**v = 0.
-1, 1
Let p(f) = -f**4 + 7*f**3 + 21*f**2 + 14*f + 1. Let i(z) = -2*z**4 + 22*z**3 + 62*z**2 + 42*z + 4. Let w(b) = 3*i(b) - 8*p(b). Find h, given that w(h) = 0.
-2, -1
Let o = 19 + -19. Let k(y) be the first derivative of 0*y**2 - 2/15*y**3 + o*y + 1/10*y**4 - 1. Let k(d) = 0. Calculate d.
0, 1
Let o = -79 + 81. Factor 1/2*h**3 + 0*h**o + 0 + 1/2*h**4 + 0*h.
h**3*(h + 1)/2
Factor 12*o**2 - 2*o - 15*o**2 + 0*o**5 + 2*o**5 + 3*o**4 - o**5 + o**3.
o*(o - 1)*(o + 1)**2*(o + 2)
Let x be 2/1 + (-3 - (-5 - -2)). Let t(w) be the second derivative of 2*w + 0*w**3 - 1/60*w**5 + 0*w**4 + 0 + 0*w**x. Suppose t(z) = 0. Calculate z.
0
Determine n, given that 4*n**2 - 2 - 12*n**2 + 3*n**3 + 4*n + 3*n = 0.
2/3, 1
Let l = 87/5 + -773/45. Let r(g) be the first derivative of -1/3*g**4 + 3 - 2/15*g**5 + 0*g**2 - l*g**3 + 0*g. Find o such that r(o) = 0.
-1, 0
Factor 8/3*k + 4*k**2 + 2/3 + 8/3*k**3 + 2/3*k**4.
2*(k + 1)**4/3
Let o(y) = y**4 - 11*y**3 + 4*y**2 - 2*y - 2. Let f(c) = 12*c**3 - 3*c**2 + 3*c + 3. Let k(n) = -2*f(n) - 3*o(n). Factor k(b).
-3*b**2*(b - 2)*(b - 1)
Let u(l) be the first derivative of -1/9*l**6 + 0*l**2 + 0*l + 0*l**3 - 1/3*l**4 + 2/5*l**5 + 3. Factor u(g).
-2*g**3*(g - 2)*(g - 1)/3
Let c = -888 - -53281/60. Let g(l) be the third derivative of l**2 + 0*l + c*l**4 - 1/15*l**3 - 1/300*l**6 + 1/150*l**5 + 0. Factor g(d).
-2*(d - 1