be the second derivative of 0*i**2 - 4*i + 1/6*i**3 + 0 + 3/8*i**4. Solve f(l) = 0.
-2/9, 0
Let b(t) be the third derivative of t**8/70560 + t**7/8820 + t**6/2520 + t**5/30 - 4*t**2. Let n(h) be the third derivative of b(h). Factor n(a).
2*(a + 1)**2/7
Find z such that 1/4 + 1/4*z**2 + 1/2*z = 0.
-1
Factor -2*u**3 + 54*u**2 - 1 - 52*u**2 + 1.
-2*u**2*(u - 1)
Find d such that -3/8*d**5 + 3/4*d - 3/8*d**3 + 0 - 9/8*d**4 + 9/8*d**2 = 0.
-2, -1, 0, 1
Let j(h) = 20*h**3 - 42*h**2 + 30*h - 8. Let n(c) = 20*c**3 - 43*c**2 + 31*c - 8. Let m(g) = -5*j(g) + 6*n(g). Determine v, given that m(v) = 0.
2/5, 1
Let u be (-13)/(-5) - (-2)/5. Factor -8*q**u + q**4 - 4*q**3 + 13*q**3.
q**3*(q + 1)
Let w be (8 + -9)/((-2)/10). Suppose 10*m + 6*m**2 + 2 - 3 - m - w = 0. Calculate m.
-2, 1/2
Let 256*x**4 - 1 - 4*x**5 - 4*x**2 - 12*x**3 - 268*x**4 + 1 = 0. Calculate x.
-1, 0
Suppose -3*k = 8 - 26. Let j(z) be the second derivative of 0 + 0*z**2 - 9/20*z**5 + 2/15*z**k - 1/6*z**3 - 2*z + 1/2*z**4. Factor j(l).
l*(l - 1)**2*(4*l - 1)
Let k(o) be the first derivative of o**4/6 + 2*o**3/9 + 8. Let k(t) = 0. Calculate t.
-1, 0
Let h = 94 + -92. What is s in -1/2 - 2*s**h + 5/2*s = 0?
1/4, 1
Let w be 3 + ((-138)/(-16))/(-3). Let k(h) be the first derivative of -1/12*h**3 - w*h**2 + 0*h + 3. Determine a, given that k(a) = 0.
-1, 0
Let l(s) be the first derivative of -7/3*s**3 + 9/2*s**2 + 3 - 2*s. Let l(c) = 0. What is c?
2/7, 1
Let k(z) be the third derivative of z**7/120 - z**6/60 - z**5/40 + z**4/12 - z**3/24 + 21*z**2. Determine h, given that k(h) = 0.
-1, 1/7, 1
Let b(i) be the second derivative of -i**6/135 + i**5/45 - 2*i**3/27 + i**2/9 - 8*i. Suppose b(q) = 0. Calculate q.
-1, 1
Let a be 4*(0 - (-2)/4). Determine f, given that -2/3*f**a + 0 + 0*f = 0.
0
Suppose 4*p + 7 + 3*p**2 + 8*p + 5 = 0. What is p?
-2
Let m(j) = -j**2 + 9*j + 10. Let o be m(9). Factor 4*t + o*t**5 + 4*t**4 - 8*t**3 - 8*t**2 - 13*t**5 + 7*t**5 + 4.
4*(t - 1)**2*(t + 1)**3
Suppose 0 = 5*h - j - 7, -h + 0*j - 4*j = -14. Let c(t) be the first derivative of 0*t + 2/9*t**3 + 1 - 1/6*t**4 + 0*t**h. Let c(l) = 0. What is l?
0, 1
Factor -27 + 24*o + 7 + 76*o + 20*o**2 + 35*o**2.
5*(o + 2)*(11*o - 2)
Let i(m) be the third derivative of m**9/3360 + m**8/840 + m**7/1008 - m**6/720 - m**4/12 + 2*m**2. Let a(b) be the second derivative of i(b). Factor a(u).
u*(u + 1)**2*(9*u - 2)/2
Let p(r) be the first derivative of -5*r**4 + 4*r**3 - 2*r**2 + 4*r**4 - 2*r**2 - 3 + 7. Determine q so that p(q) = 0.
0, 1, 2
Let d(w) be the first derivative of 2*w**6/33 + 14*w**5/55 + 5*w**4/22 - 10*w**3/33 - 7*w**2/11 - 4*w/11 + 52. Find t, given that d(t) = 0.
-2, -1, -1/2, 1
Let k be (24/30)/(2/(-5)). Let q(c) = -c**2 - c + 4. Let w(y) = 5*y + 4*y**2 + 0*y**2 - 3*y - 13. Let f(g) = k*w(g) - 7*q(g). Factor f(n).
-(n - 2)*(n - 1)
Determine f so that -6/5*f - 4/5 + 2/5*f**3 + 0*f**2 = 0.
-1, 2
Let v be 80/35 + 4/(-14). Factor -2*y**3 - 6*y**3 + 7*y - 4 + 2*y**5 - y - 11*y**v + 15*y**2.
2*(y - 1)**3*(y + 1)*(y + 2)
Let t(u) = u**3 + 7*u**2 + u - 6. Let a(v) = -4*v**3 - 29*v**2 - 4*v + 24. Let c(w) = 6*a(w) + 26*t(w). Determine s so that c(s) = 0.
-3, -2, 1
Let v(p) be the second derivative of -p**6/90 - p**5/15 - p**4/6 - 7*p**3/6 + 4*p. Let t(k) be the second derivative of v(k). Let t(y) = 0. Calculate y.
-1
Factor 5/2*b**2 + 0 + 1/2*b**4 - b - 2*b**3.
b*(b - 2)*(b - 1)**2/2
Let y(a) be the second derivative of a + 0 + 2/11*a**2 - 1/33*a**3 - 1/66*a**4. Factor y(n).
-2*(n - 1)*(n + 2)/11
Let s(i) = 6*i - 1. Let x be s(1). Suppose 3*m**3 - x*m + m - 2 + 3 + 5*m - 5*m**2 = 0. Calculate m.
-1/3, 1
Let x be 96/10 - (-2)/5. Let b be x/4*24/15. What is t in b - 2*t**2 + 0 - 2 = 0?
-1, 1
Determine t, given that 1/4*t - 1/4*t**3 + 0*t**2 + 0 = 0.
-1, 0, 1
Let -1/3*k**2 + 1/6*k**3 + 1/2*k**4 + 0 + 0*k = 0. Calculate k.
-1, 0, 2/3
Suppose -a + 3 = -2*a. Let l be (-6 - -5)/(1/a). Factor 2/5*s**4 - 2/5 + 0*s**2 + 4/5*s**l - 4/5*s.
2*(s - 1)*(s + 1)**3/5
Let v = 15 - 224/15. Let j(h) be the first derivative of -2 - v*h**3 - 1/10*h**2 + 2/5*h. Factor j(z).
-(z - 1)*(z + 2)/5
Determine t so that 4/5 + 0*t - 4/5*t**2 = 0.
-1, 1
Let l(z) be the third derivative of 0 + 0*z + 1/48*z**4 + 1/240*z**5 + 2*z**2 + 1/24*z**3. Suppose l(n) = 0. Calculate n.
-1
Let q be 15/6 + (-1)/(-2). Factor 5 - 3*y**3 - q + 1 - 3*y**2 + 3*y.
-3*(y - 1)*(y + 1)**2
Let d(q) be the second derivative of -8/3*q**4 + 6*q + 4*q**2 + 0 - 12/5*q**6 + 2*q**3 - 22/5*q**5 - 10/21*q**7. Factor d(m).
-4*(m + 1)**4*(5*m - 2)
Let l(k) be the first derivative of -k**3/3 + k**2 - k + 5. Factor l(b).
-(b - 1)**2
Let c(s) = s**5 + s**2 - s + 1. Let r(d) = -2*d**5 + d**4 - 3*d**3 - 5*d**2 + 5*d - 4. Let o(m) = -12*c(m) - 3*r(m). Determine a, given that o(a) = 0.
-1, 0, 1/2, 1
Let f be (-2)/(-4) + 54/12. Solve -2*r**2 + 2*r + f*r**3 - 2*r**5 - 3*r**3 + 2*r**4 - 2*r = 0 for r.
-1, 0, 1
Let c be -1 - 76/(-24) - 2. Let d(u) be the first derivative of -1/3*u**2 - 4/9*u**3 + 0*u - c*u**4 - 1. Determine o, given that d(o) = 0.
-1, 0
Factor m**4 + m**4 - 2*m**5 + 4*m**3 - 2*m**2 + 2*m**2.
-2*m**3*(m - 2)*(m + 1)
Let j = 55 + -55. Let s(r) be the second derivative of 1/10*r**5 - 1/6*r**4 + 0*r**3 + r + 0*r**2 + j. Factor s(a).
2*a**2*(a - 1)
Let w(c) be the first derivative of c**6/540 - c**5/540 - c**4/54 + c**3/3 - 2. Let k(y) be the third derivative of w(y). Find h, given that k(h) = 0.
-2/3, 1
Factor 9*o**3 + 9*o + 0*o**3 + 0*o**3 - 6*o**3 - 3 - 9*o**2.
3*(o - 1)**3
Let f be ((-4)/2)/(-1 - 6). Factor -6/7*u**4 + 2/7*u**5 + 6/7*u**3 + 0 + 0*u - f*u**2.
2*u**2*(u - 1)**3/7
Let w(l) be the second derivative of 4/9*l**3 - 1/30*l**5 - 4/45*l**6 - l - 1/63*l**7 - 8/3*l**2 + 5/9*l**4 + 0. Factor w(z).
-2*(z - 1)**2*(z + 2)**3/3
Let q(j) be the first derivative of j**4/8 - j**3/2 - 3*j - 3. Let y(t) be the first derivative of q(t). Determine c, given that y(c) = 0.
0, 2
Factor 12/7*t**2 + 6/7*t**4 + 0*t + 16/7*t**3 - 2/7.
2*(t + 1)**3*(3*t - 1)/7
Factor -1/4*u**3 - 1/4*u**5 + 0 + 0*u - 1/2*u**4 + 0*u**2.
-u**3*(u + 1)**2/4
Let n be 7/4 + (-2)/(-8). Suppose -2 + 6 = n*z. Find p, given that -2*p**2 + 0*p**5 + 20*p**5 + z*p**4 + 4*p - 26*p**3 + 2*p**3 = 0.
-1, -1/2, 0, 2/5, 1
Let h = -12275/36 + 341. Let x(v) be the second derivative of -3*v + h*v**4 + 1/18*v**3 + 0 + 0*v**2. Suppose x(a) = 0. Calculate a.
-1, 0
Let w(o) be the third derivative of o**5/20 - 9*o**4/4 + 81*o**3/2 + 3*o**2. Factor w(i).
3*(i - 9)**2
Let x = 82 + -78. Let o(v) be the second derivative of -1/60*v**5 - v + 0*v**2 + 0*v**x - 1/90*v**6 + 0*v**3 + 0. Factor o(p).
-p**3*(p + 1)/3
Let l(n) be the first derivative of 3*n**4/2 - 7*n**3 + 21*n**2/2 - 6*n + 5. Factor l(x).
3*(x - 2)*(x - 1)*(2*x - 1)
Find h such that h**2 - 2/5 + 6/5*h**3 - 3/5*h = 0.
-1, -1/2, 2/3
Let p = -2208/5 + 442. Factor -2/5 + 4/5*s - p*s**2.
-2*(s - 1)**2/5
Let r(q) = -q**4 + q**2 - q - 1. Let p(j) = 18*j**4 + 43*j**2 + 6 - 26*j + 19*j**2 + 12*j**2 - 56*j**3. Let h(u) = p(u) + 6*r(u). What is k in h(k) = 0?
0, 2/3, 2
Let j(v) be the first derivative of 2*v**6/3 - 19*v**5/5 + 7*v**4/4 + 13*v**3 + 9*v**2/2 - 3. Factor j(q).
q*(q - 3)**2*(q + 1)*(4*q + 1)
Let -3/4*b**4 + 1/4 + 1/2*b**3 + 1/4*b**5 - 3/4*b + 1/2*b**2 = 0. What is b?
-1, 1
Suppose p + 4*p - 25 = 0. Let f(b) = b**2 - 6*b + 7. Let w be f(p). Factor -4/5 + 2/5*t**w - 2/5*t.
2*(t - 2)*(t + 1)/5
Let p(i) = 7*i**4 - 3*i**3 - 21*i**2 + 3*i - 7. Let r(l) = 3 - 2*l + 0*l + l**3 + 0 + l - 4*l**4 + 10*l**2. Let v(u) = -6*p(u) - 14*r(u). Factor v(a).
2*a*(a - 1)*(a + 1)*(7*a + 2)
Let f(z) be the third derivative of z**10/105840 - z**8/23520 + z**4/8 + 2*z**2. Let i(p) be the second derivative of f(p). Solve i(g) = 0.
-1, 0, 1
Let l(a) be the first derivative of a**5/10 + a**4/6 + 4*a + 9. Let d(u) be the first derivative of l(u). Find b, given that d(b) = 0.
-1, 0
Suppose 5*l + 3*x = 21, -3*x + 4*x = -3*l + 15. Suppose -4*d + d + l = a, 0 = 3*d - 6. Let a + 0*c + 2/5*c**2 + 2/5*c**3 = 0. What is c?
-1, 0
Solve -8/5 - 18/5*f**2 + 2/5*f**4 - 2/5*f**3 - 22/5*f = 0.
-1, 4
Suppose -26/5*h**2 + 5*h**4 + 9*h**3 - 36/5*h - 8/5 = 0. What is h?
-2, -2/5, 1
Let k = 643/4 + -160. Suppose -k*g + 1/2 + 1/4*g**2 = 0. Calculate g.
1, 2
Let b(g) be the second derivative of -g**7/210 - g**6/60 + g**4/12 + g**3/6 - g**2/2