(6/15). Let v = 8 + t. Factor -1/2*b**v + 0 + 1/2*b**4 + 0*b**2 + 0*b.
b**3*(b - 1)/2
Let k(m) be the first derivative of 8/3*m - 5 + 4/3*m**2 + 2/9*m**3. Factor k(g).
2*(g + 2)**2/3
Solve 10/9*u**2 + 4/9*u - 2/9*u**5 + 2/3*u**3 + 0 - 2/9*u**4 = 0.
-1, 0, 2
Let r(b) be the first derivative of -b**6/120 + 7*b**3/3 - 4. Let a(w) be the third derivative of r(w). Factor a(t).
-3*t**2
Suppose -n = 3 - 7. Factor -b**n - 2*b - 9*b**2 + 0*b**2 - 12*b**3 - 2*b**5 + b**2 - 7*b**4.
-2*b*(b + 1)**4
Let l(v) = 3*v**5 - 9*v**4 + 3*v**3 - 9*v**2 - 6*v. Let x be 1*(-3)/(-2 - 1). Let n(o) = -o**3 - o**2 - o. Let b(c) = x*l(c) - 6*n(c). Factor b(r).
3*r**2*(r - 1)**3
Let u = -39 + 41. Let a(q) be the first derivative of -3 + 4/3*q**3 - 2/5*q**5 - q**2 + q**4 - u*q - 1/3*q**6. Factor a(w).
-2*(w - 1)**2*(w + 1)**3
Let b(t) be the first derivative of 3*t**4/2 - 22*t**3/3 + 12*t**2 - 8*t + 26. Determine g, given that b(g) = 0.
2/3, 1, 2
Solve 3 - 4*i + 3*i**2 - 4*i + 5 - 4 = 0 for i.
2/3, 2
Factor 27*f**2 - 6*f**2 - 11*f**2 + 6*f - 7*f**2.
3*f*(f + 2)
Let v(s) be the second derivative of -s**6/15 - s**5/10 + s**4/3 - s. Solve v(o) = 0.
-2, 0, 1
Let h(q) be the first derivative of q**5/120 - q**4/48 - q**3/6 - q**2/2 + 3. Let n(f) be the second derivative of h(f). Determine r so that n(r) = 0.
-1, 2
Factor 4/3*d**3 + 2*d**2 + 0 + 2/3*d.
2*d*(d + 1)*(2*d + 1)/3
Let f(k) be the second derivative of -1/9*k**3 + 1/36*k**4 + 0*k**2 + k + 0. Factor f(n).
n*(n - 2)/3
Let a = 3 - -2. Let -4*f**4 - 2*f + f**3 + f**3 - 1 + a*f**4 = 0. Calculate f.
-1, 1
Let z(u) be the first derivative of -u**4/16 - u**3/6 - 8. Determine b so that z(b) = 0.
-2, 0
Let t(s) = 2. Let r(p) = -p**2 - 1 + 2 - 2 + 0*p**2. Let g = 4 + -6. Let y(u) = g*r(u) - t(u). Factor y(w).
2*w**2
Let k(q) = 4*q**4 + 9*q**3 - 15*q**2 + 2*q - 11. Let o(x) = 2*x**4 + 5*x**3 - 8*x**2 + x - 6. Let c(t) = -6*k(t) + 11*o(t). Determine f, given that c(f) = 0.
-1, 0, 1/2, 1
Let n(p) be the second derivative of p**7/5460 - p**6/2340 - p**5/780 + p**4/156 + 5*p**3/6 + 2*p. Let w(v) be the second derivative of n(v). Factor w(j).
2*(j - 1)**2*(j + 1)/13
Let t(b) be the second derivative of -b**4/4 + b**3 - 3*b. Solve t(o) = 0.
0, 2
Let s be 2/7 - 176/28. Let m be (-1)/(21/s + 3). Suppose -3*w - w**2 + m*w**2 + 2*w**2 = 0. What is w?
0, 1
Let t be (4 + (-3 - -3))/2. Let -4*i**2 - i**4 + 4*i**2 - 3*i**3 - t*i**4 = 0. Calculate i.
-1, 0
Let f(v) be the first derivative of 2*v**6/3 - 3. Factor f(t).
4*t**5
Let u(m) be the third derivative of -m**5/12 - 35*m**4/24 - 25*m**3/3 + 17*m**2. Suppose u(x) = 0. What is x?
-5, -2
Let u(x) be the second derivative of x**4/84 + 2*x**3/21 - 5*x**2/14 + 25*x. Find g such that u(g) = 0.
-5, 1
Let j be 30/2*(-4)/(-10). Let g = j + -1. Factor -g*d**4 + 8*d + 32*d**2 + 9*d**3 + d**3 - 45*d**4.
-2*d*(d - 1)*(5*d + 2)**2
Let i be (-16)/(-72) - (28/18 - 2). Factor 1/3*y**2 - i + 1/3*y.
(y - 1)*(y + 2)/3
Let c(t) = -2*t - 10. Let z be c(-7). Factor 0*l**2 + 0*l**4 + 3*l**z + l**2 - 4*l**4.
-l**2*(l - 1)*(l + 1)
Let z(r) be the third derivative of -1/9*r**5 + 1/9*r**4 + 8/9*r**3 + 0 + 0*r + r**2 + 4/315*r**7 - 1/504*r**8 - 1/180*r**6. Suppose z(s) = 0. Calculate s.
-1, 2
Let t = 89 - 265/3. Determine x, given that 0 + 2/3*x - t*x**2 = 0.
0, 1
Suppose -4 = -z - z. Let k(s) = 1 - z*s**4 - s**5 + 3*s**4 + 2*s**5. Let c(x) = -5*x**5 + 3*x**4 - x**3 + 11. Let b(l) = 2*c(l) - 22*k(l). Factor b(y).
-2*y**3*(4*y + 1)**2
Let o(n) be the third derivative of n**7/945 - n**6/270 - n**5/90 + n**4/27 + 4*n**3/27 - 9*n**2. Factor o(t).
2*(t - 2)**2*(t + 1)**2/9
Let s be 0/(-2)*(-19)/(-38). Find q, given that s - 1/3*q**3 - 1/3*q - 2/3*q**2 = 0.
-1, 0
Factor 4/9*z - 2/3*z**2 + 0 + 2/9*z**3.
2*z*(z - 2)*(z - 1)/9
Let l(q) = -5*q - 1. Suppose -4*h = -h + 9, -2*x + 2*h + 4 = 0. Let j be l(x). Find w, given that w**4 + w**j + w**2 - 3*w**2 = 0.
-1, 0, 1
Let u(z) be the first derivative of z**6/120 + z**5/20 + z**3/3 - 4. Let v(t) be the third derivative of u(t). Factor v(o).
3*o*(o + 2)
Factor -26/7*a**2 + 96/7*a + 2/7*a**3 - 72/7.
2*(a - 6)**2*(a - 1)/7
Determine a so that 4*a**4 - a - a**4 - 5*a - 4*a**2 - 5*a**2 = 0.
-1, 0, 2
Let f(v) be the third derivative of -9*v**7/490 + 3*v**6/280 + 13*v**5/70 - v**4/2 + 4*v**3/7 - 42*v**2. Find j such that f(j) = 0.
-2, 2/3, 1
Let p(u) = -u**3 - 2*u**2 + 2*u - 1. Let r be p(-3). Factor h + 5*h - 2*h + 9*h**5 - 4*h**2 + 0*h**r + 6*h**4 - 11*h**3.
h*(h + 1)**2*(3*h - 2)**2
Let r(c) = -c**3 - c**2 + 3. Let d be r(0). Let p(a) = a**3 + 5*a**2 + 2. Let i be p(-5). Factor n**3 - 3 + n**i + 2 + d*n - 4*n**2.
(n - 1)**3
Let 3/2*a**3 + 0 - 3/2*a - 9/4*a**2 + 9/4*a**4 = 0. What is a?
-1, -2/3, 0, 1
Let z(s) be the second derivative of -s**6/150 - s**5/100 + s**4/20 + s**3/30 - s**2/5 + 14*s. Factor z(r).
-(r - 1)**2*(r + 1)*(r + 2)/5
Let p be (-22)/72 + 4/16. Let b = 7/18 - p. Determine o, given that 2/9*o**3 + 0*o**2 - 2/3*o - b = 0.
-1, 2
Let 30*s**2 - 1 - 24*s**3 + 9 + 38*s**3 + 26*s + 2*s**4 = 0. Calculate s.
-4, -1
Let g = 730/9 + -81. Let r(o) be the first derivative of 1 - g*o**2 + 1/6*o**4 + 0*o - 4/27*o**3. Factor r(f).
2*f*(f - 1)*(3*f + 1)/9
Factor 2/3*b**3 - 10/3*b + 4 - 4/3*b**2.
2*(b - 3)*(b - 1)*(b + 2)/3
Let u(i) be the second derivative of 5*i**4/18 - 17*i**3/9 + 2*i**2 - 17*i. Factor u(t).
2*(t - 3)*(5*t - 2)/3
Suppose 3*q = 8*q + 120. Let f be (-4)/q - (-51)/18. Suppose 0*p + 2/3*p**f + 0 - 2/3*p**4 + 0*p**2 = 0. What is p?
0, 1
Let o be (13 + 1)/(-56) - 2/(-8). Find a, given that 2/3*a - 2/3*a**2 + o = 0.
0, 1
Let q be (5 - 1) + (-136)/36. Solve 2/9*m + 0 + q*m**2 = 0 for m.
-1, 0
Let v(f) be the second derivative of -f**4/60 + f**3/30 + 9*f. Suppose v(x) = 0. What is x?
0, 1
Let q be 3 + (9/3 - 3). Let 8*d**3 + 2*d**3 - 8*d**q = 0. Calculate d.
0
Let y(z) be the second derivative of 7*z**4/6 - 2*z**3/3 + 15*z. Find u, given that y(u) = 0.
0, 2/7
Let w(t) be the second derivative of 2*t**7/21 - 2*t**6/15 - 21*t. Determine q so that w(q) = 0.
0, 1
Let o = 11 - 9. Determine c so that -6*c**5 - 24*c**4 - 2*c**5 - 32*c**3 - 6*c**o + 4*c - 6*c**4 = 0.
-2, -1, 0, 1/4
Determine y, given that 18*y**4 + 0*y**4 - 12*y**3 - 55*y**2 - 15*y**2 + 2 - 10 + 48*y = 0.
-2, 1/3, 2
Factor 5/7*i**3 - 3/7*i**2 - 5/7*i - 1/7 + 4/7*i**4.
(i - 1)*(i + 1)**2*(4*i + 1)/7
Let d = -63 - -67. Let q = 49/60 + -3/20. Factor -f**d - f + 2/3*f**3 + 1/3 + 1/3*f**5 + q*f**2.
(f - 1)**4*(f + 1)/3
Let c be (-12 - -15)*(-12)/(-9). Factor -8/3*v + 2/3 - 8/3*v**3 + 2/3*v**c + 4*v**2.
2*(v - 1)**4/3
Let h = -1276/5 + 256. Let u(t) be the first derivative of 1/5*t**2 + h*t - 2/15*t**3 + 2. Factor u(m).
-2*(m - 2)*(m + 1)/5
Let s(r) = -3*r + 3. Let d be s(4). Let c(a) = a + 12. Let l be c(d). Factor -q**3 - 2*q**3 - q**l + 2*q**3.
-2*q**3
Let a(p) be the first derivative of -2*p**5 + 9*p**4/4 + 8*p**3/3 - 9*p**2/2 + 2*p - 12. Let a(v) = 0. What is v?
-1, 2/5, 1/2, 1
Suppose 1/2*z**2 - 1/2*z**4 + 0*z**3 + 0*z + 0 = 0. What is z?
-1, 0, 1
Let c be 11/(-3*3/9). Let y be c/(-66) - 58/(-12). Suppose r**y - 2*r**2 - r**3 + 3/2*r**4 + 0*r + 1/2 = 0. What is r?
-1, 1/2, 1
Let y(u) be the second derivative of -1/2*u**3 + 1/120*u**5 + 1/360*u**6 + 0 + 0*u**2 + 0*u**4 + 2*u. Let o(n) be the second derivative of y(n). Factor o(z).
z*(z + 1)
Factor 0 - 2/3*k**4 + 2/3*k**5 + 0*k + 2/3*k**2 - 2/3*k**3.
2*k**2*(k - 1)**2*(k + 1)/3
Find k such that -80*k**2 + 23*k**3 - 69*k**3 - 86*k**3 - 88*k**4 - 16*k - 20*k**5 = 0.
-2, -1, -2/5, 0
Suppose 0 - 2/5*y**4 + 0*y**3 + 2/5*y**2 - 1/5*y**5 + 1/5*y = 0. What is y?
-1, 0, 1
Let y(q) be the third derivative of 0 - 1/28*q**4 - 1/210*q**5 + 0*q - 2/21*q**3 - 6*q**2. Determine g so that y(g) = 0.
-2, -1
Let l(k) be the third derivative of -1/1512*k**8 + 0*k + 0*k**3 - 1/45*k**6 - 2/315*k**7 - 1/27*k**5 + 0 - 1/36*k**4 + 5*k**2. Suppose l(p) = 0. What is p?
-3, -1, 0
Let m be ((-2)/7)/(70/(-98)). Let 4/5*w**4 - 4/5*w**2 + 0 + m*w**5 + 0*w**3 - 2/5*w = 0. What is w?
-1, 0, 1
Factor 0*k**2 - 3/2*k**3 + 3/8*k**5 + 0 + 0*k + 0*k**4.
3*k**3*(k - 2)*(k + 2)/8
Let i(y) be the third derivative of 0*y**5 + 1/168*y**8 + 4/105*y**7 + 0*y**4 + 0 + 0*y + 2*y**2 + 1/15*y**6 + 0*y**3. Suppose i(u) = 0. Calculate u.
-2, 0
Let y be ((-4)/(-2))/(22/33). Let x(v) be the second derivative of 1/12*v**4 + 