5/20 + 2*j**2. Let t(f) be the third derivative of n(f). Factor t(z).
-z*(z - 1)*(z + 2)
Let b = -411001/9 - -45742. Let x = b + -75. Suppose 0*l**2 + 0*l - x*l**3 + 0 + 2/3*l**4 = 0. Calculate l.
0, 1/3
Suppose 0 = -n - 4*n + 10. Suppose -2 = t - 2*t. Factor g**2 - 3*g**2 - t*g**3 - n*g**3 - 2*g**4.
-2*g**2*(g + 1)**2
Let y = 64/3003 - -12/715. Let v(g) be the second derivative of y*g**6 - g + 13/70*g**5 + 5/14*g**4 + 0 + 1/3*g**3 + 1/7*g**2. Factor v(a).
2*(a + 1)**3*(4*a + 1)/7
Suppose 6 = 3*o, -5*w + 10 + 2 = o. Find k, given that 364/11*k**4 - 294/11*k**5 + 0 + 16/11*k**w - 136/11*k**3 + 0*k = 0.
0, 2/7, 2/3
Let b(g) be the second derivative of g**3/6 - g**2/2 + g. Let f(c) = -3*c**4 - 3*c**3 + 3*c**2 - 3*c + 6. Let l(p) = -6*b(p) - f(p). Factor l(n).
3*n*(n - 1)*(n + 1)**2
Let o(g) be the first derivative of -g**5/330 - g**4/66 + g**2/2 + 2. Let y(z) be the second derivative of o(z). Find w such that y(w) = 0.
-2, 0
Let a = 478 - 475. Factor 1/2*n**5 + 0*n + 3/2*n**a + 0 + 1/2*n**2 + 3/2*n**4.
n**2*(n + 1)**3/2
Let a(z) be the first derivative of z**4/18 - 7*z**2/9 + 4*z/3 + 5. Factor a(l).
2*(l - 2)*(l - 1)*(l + 3)/9
Let p(g) be the second derivative of 9*g**6/5 - 18*g**5/5 + 3*g**4 - 4*g**3/3 + g**2/3 - g. Factor p(z).
2*(3*z - 1)**4/3
Suppose 5*u = -1 - 14. Let p(n) = -7*n**5 - 3*n**3 - 3*n**2 - 3*n + 3. Let t(w) = 8*w**5 + 4*w**3 + 4*w**2 + 4*w - 4. Let f(q) = u*t(q) - 4*p(q). Factor f(i).
4*i**5
Solve 5*n**2 + 131 - 22*n - 51 - 18*n = 0.
4
Let u(d) be the second derivative of d**5/70 - d**3/7 - 2*d**2/7 + 5*d. Let u(j) = 0. What is j?
-1, 2
Let d(y) be the first derivative of -y**6/2700 - y**5/900 + y**4/90 - 4*y**3/3 - 2. Let k(c) be the third derivative of d(c). Factor k(j).
-2*(j - 1)*(j + 2)/15
Suppose 2/5*n**3 + 1/5*n**2 + 0 + 1/5*n**4 + 0*n = 0. What is n?
-1, 0
Let b(p) = -p**2 + p + 1. Let k(f) = f - 2. Let w be k(1). Let x(j) = 6*j**2 - 6*j - 5. Let v(y) = w*x(y) - 5*b(y). Solve v(h) = 0.
0, 1
Let 0*i + 2/5*i**5 + 8/5*i**4 + 0*i**2 + 0*i**3 + 0 = 0. What is i?
-4, 0
Factor 9/2*y - 3/2*y**2 + 0.
-3*y*(y - 3)/2
Let u be 2*(-6)/(-4)*66/99. Let j(l) be the first derivative of 2/15*l**3 - 2/25*l**5 - 3 + 0*l + 0*l**4 + 0*l**u. Factor j(n).
-2*n**2*(n - 1)*(n + 1)/5
Factor 1/4*t**5 + 1/2*t**4 - 1/4*t**3 - 1/2*t**2 + 0 + 0*t.
t**2*(t - 1)*(t + 1)*(t + 2)/4
Suppose -y = -3*c + 11, -4*c + 6*y - y = 0. Suppose 0 = 3*k + 3*g - 21, 4*g + 0*g = c*k + 10. Solve 0 - 2/3*t**k - 1/3*t**3 - 1/3*t = 0.
-1, 0
Let w be (-197)/(-2700)*-3 + 4/18. Let u(t) be the third derivative of 0*t - 1/30*t**3 + w*t**5 + 1/600*t**6 + 0 - 2*t**2 - 1/120*t**4. Factor u(p).
(p - 1)*(p + 1)**2/5
Let p(i) = i**3 - 4*i**2 - i + 5. Let u be p(4). Suppose 2*g = 4*l - 8, 6 - u = 5*l - 5*g. Factor 2/5*h**2 - 2/5*h + 0 + 6/5*h**4 + 2*h**l.
2*h*(h + 1)**2*(3*h - 1)/5
Let j(l) be the second derivative of 5*l**7/6 - 23*l**6/6 + 27*l**5/4 - 65*l**4/12 + 5*l**3/3 + 8*l. Solve j(q) = 0.
0, 2/7, 1
Let f be ((-36)/(-27))/((-12)/(-9) + 2). Factor 0 - 8/5*s**3 - f*s + 2*s**2.
-2*s*(s - 1)*(4*s - 1)/5
Suppose 5*c = -2 - 28. Let h be 4/9*(-9)/c. Solve h*b**2 + 2*b - 2*b**3 - 2/3 = 0 for b.
-1, 1/3, 1
Let f be 48/(-64) + 2 + -1. Factor -1/4*q**4 + 0*q**3 + 0*q**2 + 0 + 0*q - f*q**5.
-q**4*(q + 1)/4
Let z = -28 - -32. Factor -40*f**3 - 16 + 18*f**z - 2*f**3 + 65*f - 4*f**2 - 25*f.
2*(f - 2)*(f + 1)*(3*f - 2)**2
Let j(x) be the second derivative of x**7/231 - 4*x**6/165 + x**5/110 + 5*x**4/33 - 4*x**3/33 - 8*x**2/11 + 19*x. Suppose j(u) = 0. What is u?
-1, 2
Let j(t) = -2*t**3 - 25*t**2 - 23*t + 1. Let i(f) = f**3 + 12*f**2 + 11*f. Let l(v) = 5*i(v) + 2*j(v). Let p be l(-9). Factor -2/7*b**p + 0 + 2/7*b.
-2*b*(b - 1)/7
Let x(w) be the second derivative of -w**7/273 + 2*w**6/195 - w**5/130 - 41*w. Factor x(d).
-2*d**3*(d - 1)**2/13
Let u = 83 - 26. Suppose -2*c - u = -3*g - 11, 2*g - 3*c = 39. Find f such that -12*f + g*f - 2*f**2 + 2 = 0.
-1, 1
Let d(g) = g**3 + g**2 + g + 4. Let s be d(0). Determine u, given that -u**3 - 2*u**2 + 4*u**4 - 2*u - 8*u**4 + 3*u**3 + 6*u**s = 0.
-1, 0, 1
Suppose -5*c - 2*m + 6 = 0, -3*c = m - 0*m - 4. Factor -c*k**4 - 4*k**3 - 2*k**3 - 4 - 12*k + k**4 + 4*k**2 - 17*k**2.
-(k + 1)**2*(k + 2)**2
Let h be 70/(-9) + (-2)/9. Let f = h - -11. Suppose 2*x**5 + 4*x**2 + 3*x**5 - x**5 - 6*x**f - 2*x**5 = 0. Calculate x.
-2, 0, 1
Let b be 16/(-2) - 1469/(-113). Suppose 1/4*y**b + 0 - 5/4*y**2 - 1/2*y - 3/4*y**3 + 1/4*y**4 = 0. Calculate y.
-1, 0, 2
Find u such that 6 + u - 4*u - u**2 - 8 = 0.
-2, -1
Let w = -90793 + 456163/5. Let h = -438 + w. Let 2/5*k**3 - h*k**2 + 0 + 8/5*k = 0. Calculate k.
0, 2
Suppose 3*w + 4/3 + 2*w**2 + 1/3*w**3 = 0. Calculate w.
-4, -1
Let z(y) be the second derivative of 9*y**5/80 - 7*y**4/48 - y**3/12 + 13*y. Factor z(h).
h*(h - 1)*(9*h + 2)/4
Let o(x) = -2*x**2 + 11*x + 16. Let s(r) = -7*r**2 + 45*r + 63. Let m(y) = -22*o(y) + 6*s(y). Factor m(v).
2*(v + 1)*(v + 13)
Let 2*o**3 - 4/9 - 4/9*o**2 + 8/9*o**4 - 2*o = 0. What is o?
-2, -1, -1/4, 1
Let a(s) be the second derivative of 5*s**4/12 - 10*s**3/3 + 10*s**2 + 8*s. What is f in a(f) = 0?
2
Let a(q) be the second derivative of -q**4/42 + 5*q**3/21 - 4*q**2/7 + 5*q. Factor a(c).
-2*(c - 4)*(c - 1)/7
Suppose t**4 - 1/3*t**3 + 0 - 1/3*t**5 + 2/3*t - t**2 = 0. Calculate t.
-1, 0, 1, 2
Factor 0*v**2 + 2/3*v**3 - 1/3*v - 1/3*v**5 + 0 + 0*v**4.
-v*(v - 1)**2*(v + 1)**2/3
Let 6*c**3 + 4*c - 8*c**3 - 2*c**3 = 0. What is c?
-1, 0, 1
Let d(h) = h**2 + 8*h - 105. Let x be d(-15). Find g, given that -2/3*g**2 - 2/3*g**4 + 0 + 4/3*g**3 + x*g = 0.
0, 1
Let b(t) be the second derivative of t**9/3024 - t**8/840 + t**6/180 - t**5/120 + t**3/2 + 3*t. Let z(f) be the second derivative of b(f). Factor z(y).
y*(y - 1)**3*(y + 1)
Let u(z) = z**5 + z**4 - z**2. Let a(c) = -5*c**5 - 7*c**4 - 2*c**3 + 8*c**2 + c - 1. Let t(y) = -a(y) - 6*u(y). Factor t(q).
-(q - 1)**3*(q + 1)**2
Let j(o) = -2*o**2 + 2*o + 3. Let a be j(3). Let c = 12 + a. Factor 0*p**2 + 1/3*p**5 + 1/3*p + 0*p**4 - 2/3*p**c + 0.
p*(p - 1)**2*(p + 1)**2/3
Suppose 6*y = y. Let g(p) be the first derivative of 0*p**2 + 1/9*p**3 - 2 + 1/12*p**4 + y*p. What is s in g(s) = 0?
-1, 0
Let t(v) be the first derivative of -v**6/1800 + v**5/300 - v**4/120 - 2*v**3/3 + 3. Let c(r) be the third derivative of t(r). Find z, given that c(z) = 0.
1
Suppose -4*d + 5*v = -97, -3*d - 50 = -5*d + 2*v. Solve -1/2 + 17*a**3 - 83/4*a**2 + d*a**4 + 23/4*a - 16*a**5 = 0 for a.
-1, 1/4, 2
Let v(b) = -b**3 - 7*b**2 - 1. Let t be v(-7). Let c be (3/54)/(t/(-4)). What is m in -c*m**2 + 2/9 - 2/9*m + 2/9*m**3 = 0?
-1, 1
Let t(v) be the first derivative of 2*v**3/15 - 3*v**2/5 + 4*v/5 + 6. Factor t(m).
2*(m - 2)*(m - 1)/5
Let v be (-2*1)/((-6)/9). Let h be (-3)/((2 - 3)*1). Determine g, given that -2*g**3 + 2*g + 0*g**3 - h*g**v + 3*g**3 = 0.
-1, 0, 1
Let g(x) = -1. Let o(u) = 15*u**4 + 5*u**3 - 45*u**2 - 45*u - 5. Let s(l) = 5*g(l) + o(l). Factor s(v).
5*(v - 2)*(v + 1)**2*(3*v + 1)
Let g(y) be the third derivative of -y**8/224 - y**7/70 + y**5/20 + y**4/16 - 7*y**2. Factor g(q).
-3*q*(q - 1)*(q + 1)**3/2
Let v = -337 - -603. Let b be 4/(-10) + v/315. Determine m, given that 22/9*m**2 - b*m**3 - 8/9 - 14/9*m**4 - 4/9*m**5 + 8/9*m = 0.
-2, -1, 1/2, 1
Let n(t) be the second derivative of t**7/231 + 3*t**6/55 + 13*t**5/55 + 3*t**4/11 - 9*t**3/11 - 27*t**2/11 + 29*t + 2. What is i in n(i) = 0?
-3, -1, 1
Let m be 15/10 + 2/(-4). Let g(a) = a**3 - 4*a - 3. Let z(s) = s + 1. Let v(o) = m*g(o) + 3*z(o). Factor v(i).
i*(i - 1)*(i + 1)
Let g be (24/(-16) - -1) + 5. Factor -g + 6*c - 3/2*c**2.
-3*(c - 3)*(c - 1)/2
Suppose 4*k = 32 - 8. What is q in 0*q + 5*q**2 - 2*q - k*q**2 = 0?
-2, 0
Let 0*j - 1/2*j**2 + 1/2 = 0. What is j?
-1, 1
Let k(h) be the first derivative of -h**6/1440 + h**5/120 - h**4/24 + 4*h**3/3 + 1. Let n(s) be the third derivative of k(s). What is i in n(i) = 0?
2
Let j(d) = d + 5. Let u be j(-4). Let s be (u - -1)/(0 + 1). Factor f - f - s*f**2.
-2*f**2
Let r(i) = -2*i**2 + 3*i - 4. Let z(y) = y**2. Let k(d) = -r(d) - 3*z(d). Solve k(a) = 0 for a.
-4, 1
Determine b so that 2*b + 2/5*b**3 - 4/5 - 8/5*b**2 = 0.
1, 2
Suppose 0 = 54*y - 46*y - 16. Let i(t) be the first derivative of t**y + 0*t - 4 + 4/3*t**3. Determine u, given that i(u) = 0.
-1/2, 0
Let f be 1/(1/(-1))