iven that 0 + 2/3*m**2 + 2/3*m**3 + 2/9*m**i + 2/9*m = 0.
-1, 0
Let y(u) be the second derivative of -u**5/5 + 5*u**4/3 - 16*u**3/3 + 8*u**2 + 25*u. Factor y(r).
-4*(r - 2)**2*(r - 1)
Factor 0 + 2/5*s**2 + 2/5*s.
2*s*(s + 1)/5
Let t(w) be the second derivative of 2/27*w**3 + 0 + 1/18*w**4 - 2*w + 1/90*w**5 + 0*w**2. Factor t(g).
2*g*(g + 1)*(g + 2)/9
Determine v, given that 4/5*v - 1/10 - 19/10*v**2 - 8/5*v**5 + 4/5*v**3 + 2*v**4 = 0.
-1, 1/4, 1/2, 1
Let v(x) = x**2 + 6*x - 1. Let j be v(-7). Suppose 3*r + j = -4*z + 2*z, 4*z + 4 = -2*r. Determine a so that 1/2*a**4 + 0*a + 0 - 1/2*a**3 + z*a**2 = 0.
0, 1
Suppose -5*i + 12 = 3*s - 7*s, -3*s - 9 = -5*i. Let z(l) be the first derivative of -2/9*l**3 + i*l**2 + 2 + 0*l + 2/3*l**4. Factor z(b).
2*b**2*(4*b - 1)/3
Let u = -646 + 649. Factor 0*p - 1/5*p**5 + 1/5*p**u + 0*p**4 + 0*p**2 + 0.
-p**3*(p - 1)*(p + 1)/5
Let b be 2/(-4) + 2/4. Let m(x) be the third derivative of 1/15*x**3 + b + 2*x**2 + 0*x - 1/60*x**5 + 1/40*x**4. Factor m(s).
-(s - 1)*(5*s + 2)/5
Let g be (6/(-8))/((-6)/32). Factor -14/15*m - 2/15*m**g - 2/3*m**3 - 4/15 - 6/5*m**2.
-2*(m + 1)**3*(m + 2)/15
Let c**3 + 0*c**2 - c**2 + 2*c**3 + 6 - 5*c**2 - 3*c = 0. Calculate c.
-1, 1, 2
Let l(b) be the second derivative of 5*b**4/12 + 5*b**3/3 + 5*b**2/2 + 2*b. Factor l(p).
5*(p + 1)**2
Suppose -2*o + k + 4 = 0, -3*k = -0*o - 5*o + 12. What is b in 2/3*b**3 + o - 2/3*b + 0*b**2 = 0?
-1, 0, 1
Factor h**2 - 6*h - 20*h + 4*h**2 - 14*h + 80.
5*(h - 4)**2
Suppose 0 + 4/3*t**2 + 0*t - 2/3*t**3 = 0. What is t?
0, 2
Let q be 1 + -3 + (-15)/(-3). Factor 0*g**3 - 2*g**2 + g**3 + q*g**2.
g**2*(g + 1)
Let z(f) be the second derivative of -f**5/90 - f**4/18 - f**3/9 - 3*f**2/2 + 6*f. Let l(y) be the first derivative of z(y). Factor l(d).
-2*(d + 1)**2/3
Let l(j) = 4*j**3 - 7*j**2 + 3*j + 5. Let b(d) = -2*d**3 + 3*d**2 - d - 3. Let s(i) = -5*b(i) - 3*l(i). Factor s(c).
-2*c*(c - 2)*(c - 1)
Let b = 1/26 - -47/130. Factor -2/5*i**5 + b*i**4 - 2/5*i - 4/5*i**2 + 2/5 + 4/5*i**3.
-2*(i - 1)**3*(i + 1)**2/5
Let u be (-170258)/308 + (-2)/4. Let c = 555 + u. Factor -18/7 + c*r - 2/7*r**2.
-2*(r - 3)**2/7
Find i, given that -2/21*i**2 - 32/21 - 16/21*i = 0.
-4
Let i(t) = 2*t**2 + 7*t + 4. Let r(p) = 5*p**2 + 20*p + 13. Let w(j) = 7*i(j) - 2*r(j). Determine n, given that w(n) = 0.
-2, -1/4
Let o be 4*(1 + 1)/4. Let y(a) be the third derivative of -1/12*a**4 + 0 + 1/60*a**6 + 0*a**5 + 0*a + 0*a**3 + o*a**2. What is i in y(i) = 0?
-1, 0, 1
Let t be (-4)/7*1195/(-20). Let c = 35 - t. Determine w, given that 2/7*w**2 + 10/7*w - c*w**4 - 10/7*w**3 + 4/7 = 0.
-1, -2/3, 1
Let n be ((-8)/(-252))/((-4)/(-28)). Let -n*t + 0 + 2/9*t**2 = 0. Calculate t.
0, 1
Determine a, given that -66*a + 2 - 3*a**3 - 294*a - 302 - 7*a**2 - 56*a**2 = 0.
-10, -1
Let m(h) be the second derivative of -h**5/4 + 5*h**4/12 + 12*h. Factor m(x).
-5*x**2*(x - 1)
Let r(c) be the second derivative of 0*c**2 + 1/28*c**4 + 0*c**3 + 0 - 2*c. Factor r(a).
3*a**2/7
Let o be -5 + 20*(-12)/(-30). What is c in 8/3*c**4 - 2/3*c**o - 8/3*c**2 + 0 + 2/3*c = 0?
-1, 0, 1/4, 1
Suppose 27/7*f**3 + 6/7*f**2 + 0 - 6/7*f**4 + 0*f - 27/7*f**5 = 0. What is f?
-1, -2/9, 0, 1
Factor -45 + 7*m**3 - 12*m**3 + 25*m**2 - 15*m + 0*m**3.
-5*(m - 3)**2*(m + 1)
Let v(h) be the second derivative of h**10/60480 - h**8/13440 - h**4/6 - 2*h. Let r(u) be the third derivative of v(u). Factor r(o).
o**3*(o - 1)*(o + 1)/2
Let 0*q**3 + 0*q**2 + 0*q + 0*q**4 + 0 - 2/9*q**5 = 0. What is q?
0
Let x(w) be the third derivative of w**6/120 + w**5/30 + w**4/24 + 6*w**2. Let x(p) = 0. Calculate p.
-1, 0
Find k such that -2*k + 4/5*k**2 - 4/5 + 2*k**3 = 0.
-1, -2/5, 1
Suppose 0 = 8*y - 15 - 9. Let n = 7/9 + -1/9. Determine g so that -1/3*g**2 + n*g - 1/3*g**y + 0 = 0.
-2, 0, 1
Let r(z) be the third derivative of z**8/168 - z**7/105 - z**6/30 + 6*z**2. Find y, given that r(y) = 0.
-1, 0, 2
Let s(q) be the second derivative of 3*q**4/20 - q**3/2 - 3*q**2/5 - 7*q. Suppose s(g) = 0. Calculate g.
-1/3, 2
Let o be (4/3)/((-3)/(-9)). Let i = -6/325 + 349/1300. Factor 5/4*t**3 + i*t + 0 - 1/2*t**o - t**2.
-t*(t - 1)**2*(2*t - 1)/4
Let y(d) be the third derivative of -d**8/84 + 2*d**7/35 - d**6/15 - 23*d**2. Factor y(c).
-4*c**3*(c - 2)*(c - 1)
Let b be ((-1)/(-4))/(23/(-19)). Let k = 1/23 - b. Factor 3/4*z**3 + 0 + 0*z + 1/4*z**5 + k*z**2 + 3/4*z**4.
z**2*(z + 1)**3/4
Let k(r) be the first derivative of 2/33*r**3 + 2/11*r**2 + 2/11*r - 1. Factor k(a).
2*(a + 1)**2/11
Let r(k) be the first derivative of k**6/6 + 3*k**5/5 + 3*k**4/4 + k**3/3 + 9. Find x such that r(x) = 0.
-1, 0
Let b(f) = -4*f**3 - 6*f**2 - 8*f. Let w(p) = 3*p**3 + 5*p**2 + 7*p. Let t(c) = 5*b(c) + 6*w(c). Let t(u) = 0. Calculate u.
-1, 0, 1
Let z(w) be the third derivative of 1/270*w**5 - 3*w**2 + 0 + 1/54*w**4 + 1/27*w**3 + 0*w. Factor z(y).
2*(y + 1)**2/9
Let j be (-26)/(-18) - 8/8. Solve -2/9*k**5 + 0 + 0*k**2 + 0*k - 2/9*k**3 - j*k**4 = 0 for k.
-1, 0
Let j(u) be the first derivative of -9*u**4/38 + 6*u**3/19 - 2*u**2/19 - 20. Factor j(o).
-2*o*(3*o - 2)*(3*o - 1)/19
Let o(c) be the first derivative of 4*c**5/5 - 4*c**3/3 + 18. Suppose o(n) = 0. Calculate n.
-1, 0, 1
Suppose -16 = -q - 12. Let j(x) be the second derivative of 0 + 1/14*x**q - 3*x - 2/35*x**5 + 3/7*x**3 + 2/7*x**2. Factor j(p).
-2*(p - 2)*(p + 1)*(4*p + 1)/7
Let t(p) be the third derivative of 0*p**3 - 1/1512*p**8 + 0*p**7 + 11*p**2 + 0 + 1/270*p**6 + 0*p - 1/108*p**4 + 0*p**5. Factor t(f).
-2*f*(f - 1)**2*(f + 1)**2/9
Let w(b) be the second derivative of b**5/60 + b**4/18 + b**3/18 - 11*b. Solve w(a) = 0.
-1, 0
Let s(m) be the second derivative of 1/4*m**4 + 3*m**2 + 3/2*m**3 + 0 - 4*m. Factor s(i).
3*(i + 1)*(i + 2)
Suppose 8*k - 12*k + 8 = 0. Determine v so that 8/5*v**2 + 2/5 - k*v = 0.
1/4, 1
Suppose -c = c + 22. Let j = -11 - c. Suppose 4/3*o**3 + j - 2/3*o + 0*o**2 - 2/3*o**5 + 0*o**4 = 0. Calculate o.
-1, 0, 1
Let s be -14*(-14)/24*6/21. What is q in 0 - 2/3*q**3 + 2/3*q - s*q**4 + 7/3*q**2 = 0?
-1, -2/7, 0, 1
Let v(y) be the third derivative of -9*y**2 + 1/300*y**5 + 0*y - 1/120*y**4 + 0 - 1/15*y**3. Factor v(t).
(t - 2)*(t + 1)/5
Suppose -5*n = w, 0 = n + 3*w - 8*w. Factor 2/9 + n*l - 2/9*l**2.
-2*(l - 1)*(l + 1)/9
Let i be ((-1)/3)/(3/(-18)). Factor -6*o**4 + 3*o - 4*o**3 - 2*o**3 + o - 2*o**3 + 2*o**i.
-2*o*(o + 1)**2*(3*o - 2)
Let m be ((-6)/45 + 0)*(-42 - -2). Suppose 0*o - m*o**4 + 2*o**5 + 14/3*o**3 + 0 - 4/3*o**2 = 0. Calculate o.
0, 2/3, 1
Let s(n) be the first derivative of 3 + 8/3*n + 12*n**2 + 18*n**3. Factor s(i).
2*(9*i + 2)**2/3
Let k = 12 + -6. Let f(p) be the second derivative of -1/105*p**k + 0*p**3 - p - 1/70*p**5 + 0*p**2 + 0 + 0*p**4. Factor f(z).
-2*z**3*(z + 1)/7
Let w(y) be the first derivative of 2*y**4 - 4*y**3 + 4*y**2 + 1. Let s(z) = 7*z**3 - 12*z**2 + 8*z. Let q(c) = 4*s(c) - 3*w(c). Factor q(u).
4*u*(u - 2)*(u - 1)
Suppose 2 = 2*l + 4. Let j = l + 1. Solve -2/5*d**2 + j*d + 0 = 0.
0
Suppose -1 = -3*a - 16. Let c = a - -7. Find o, given that 2/5*o**c - 2/5 - 2/5*o + 2/5*o**3 = 0.
-1, 1
Suppose 7*s - 2*a - 4 = 2*s, -4*s - 4*a = -20. Factor -3*f**4 - s*f + 3*f**2 + 0*f**3 + 5*f - 3*f**3.
-3*f*(f - 1)*(f + 1)**2
Let s(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w + 1/60*w**5 + 0 + 3*w**2. Solve s(l) = 0 for l.
0
Let v(k) be the third derivative of 0*k**3 + 0*k + 0*k**4 + 0 + 6*k**2 + 1/40*k**5. Find q, given that v(q) = 0.
0
Let p = 3604/7 + -514. Solve p + 0*o**2 + 9/7*o - 3/7*o**3 = 0.
-1, 2
Let y(r) = -r - 5. Let b be y(-8). What is x in 7*x**2 + 4*x**b + x - 3*x**3 + 14*x + 9 = 0?
-3, -1
Suppose 0 = -2*o - 5*m + m + 16, 2*o - 3*m - 2 = 0. Suppose -4*l = o*g, -4*g + 6 = 5*l + 4. Determine f so that 1/5 - 1/5*f**l + 0*f = 0.
-1, 1
Let j = 17 - 17. Suppose j = -6*s + 2*s. Determine l so that s*l - 2/7*l**2 + 2/7*l**3 + 0 = 0.
0, 1
Let o(t) be the first derivative of -1/2*t**4 + t**2 + 4*t - 2 - 4/3*t**3. Factor o(l).
-2*(l - 1)*(l + 1)*(l + 2)
Let d(i) be the first derivative of -16*i**5/5 + 3*i**4 + 4*i**3/3 - 1. Factor d(j).
-4*j**2*(j - 1)*(4*j + 1)
Let i(v) be the second derivative of -v**5/120 - v**4/48 - v**2/2 + 7*v. Let h(r) be the first derivative of i(r). What is n in h(n) = 0?
-1, 0
Let v(t) be the first derivative of 5*t**6/6 + 3*t**5 + 5*t**4/4 - 5*t**3 - 5*t**2