e second derivative of 7*a**5/30 - 19*a**4/18 + 8*a**3/9 + 4*a**2/3 + 6*a. Factor s(b).
2*(b - 2)*(b - 1)*(7*b + 2)/3
Let u(s) be the first derivative of 2*s**3/9 + s**2 - 25. Factor u(a).
2*a*(a + 3)/3
Let y(u) be the second derivative of u**6/150 - 3*u**5/50 + u**4/5 - 4*u**3/15 - 3*u. Factor y(v).
v*(v - 2)**3/5
Let h = -36 + 38. Let m(c) be the first derivative of -1/2*c**4 + 2*c**3 - 2*c**2 + h + 0*c. Factor m(g).
-2*g*(g - 2)*(g - 1)
Suppose 0 = -0*n - 2*n. Suppose n = 4*r - 2 - 10. Factor 1/4*m**5 + 1/2*m**r + 1/2*m**2 - 3/4*m**4 - 3/4*m + 1/4.
(m - 1)**4*(m + 1)/4
Let u(k) = k**2 + 7*k - 15. Let a be u(-9). Let t(g) be the first derivative of -1/4*g**4 + 0*g - 2 - 1/2*g**2 - 2/3*g**a. Factor t(h).
-h*(h + 1)**2
Let y(g) be the first derivative of -2*g**7/21 - g**6/15 + g**5/10 - 4*g - 3. Let f(x) be the first derivative of y(x). Factor f(o).
-2*o**3*(o + 1)*(2*o - 1)
Let h(c) be the first derivative of c**6/24 - c**5/4 + c**4/2 - c**3/3 + 5. Factor h(i).
i**2*(i - 2)**2*(i - 1)/4
Let 2179*k**4 - 2194*k**4 - 5*k**3 + 3*k**5 - 13*k**5 = 0. Calculate k.
-1, -1/2, 0
Find p such that -2/3*p**2 - 2*p - 4/3 = 0.
-2, -1
Let n(l) be the third derivative of -l**7/315 + l**6/15 - 3*l**5/5 + 3*l**4 - 9*l**3 - 9*l**2. Factor n(q).
-2*(q - 3)**4/3
Suppose 8 = -4*g + 32. Let j = -5 + g. Let z(a) = 4*a**4 + 2*a. Let t(w) = -w**4 - w**2 - w. Let r(m) = j*z(m) + 2*t(m). Factor r(y).
2*y**2*(y - 1)*(y + 1)
Let i(p) be the second derivative of p**5/20 + 5*p**4/6 + 4*p**3/3 - 3*p**2 - 8*p. Let h be i(-9). Factor -10/3*b**h + 0 - 2*b**4 - 2/3*b**2 + 2/3*b.
-2*b*(b + 1)**2*(3*b - 1)/3
Suppose 0*c = -7*c. Let x(y) be the first derivative of 2 + c*y + 0*y**3 + 1/8*y**4 - 1/4*y**2. Suppose x(w) = 0. What is w?
-1, 0, 1
Let a(z) = -3*z**3 - 2*z**2 + z. Let l(d) = 3*d**2 - 4*d + 5 + 5*d**3 - 5 + 2*d. Let t(s) = 7*a(s) + 4*l(s). Determine f, given that t(f) = 0.
-1, 0
Let l be -1 + 1 - 1 - -1. Let n be l - -6*(-2)/(-4). Factor 2/5*c**4 + 0*c**2 - 2/5 + 4/5*c**n - 4/5*c.
2*(c - 1)*(c + 1)**3/5
What is j in 4/5*j**2 - 2/5*j**3 - 2/5*j + 0 = 0?
0, 1
Suppose 0 = -5*p + 26 - 6. Factor 2*m**2 - p*m**3 - 4*m**5 + 35*m - 30*m + 3*m**5 + 2 - 4*m**4.
-(m - 1)*(m + 1)**3*(m + 2)
Suppose 0 = -3*o + 6 - 0. Suppose -o*i + 1 = -2*m + 5, -10 = -5*m + 4*i. Factor 2*d**4 - 3*d**3 - 3*d**5 + m*d**2 + 6*d**4 - 4*d**3.
-d**2*(d - 1)**2*(3*d - 2)
Let k(a) be the first derivative of -a**7/840 + a**6/120 - a**5/48 + a**4/48 + 2*a**2 + 3. Let b(h) be the second derivative of k(h). Solve b(w) = 0 for w.
0, 1, 2
Let a(z) = -z**3 + 2*z**2 - 2. Let g be a(-2). Solve -3 + 26*l**2 + 0 + 3 - g*l**3 - 10*l - 2 = 0 for l.
-1/7, 1
Let b(k) be the first derivative of 1/12*k**6 + 1/6*k**3 + 0*k + 0*k**2 + 3/10*k**5 + 3/8*k**4 - 1. Factor b(m).
m**2*(m + 1)**3/2
Let o be (9/(-12))/((-2)/8). Solve -s**2 + 0*s**5 + o*s**5 - s**3 + 0*s**3 + s**4 - 2*s**5 = 0 for s.
-1, 0, 1
Let x(g) be the second derivative of 6*g**6 - 15*g**5 + 65*g**4/12 + 25*g**3/3 + 5*g**2/2 - 18*g. Factor x(u).
5*(u - 1)**2*(6*u + 1)**2
Let k(d) be the second derivative of d**6/150 + 3*d**5/100 + d**4/20 + d**3/30 - 33*d. Determine l so that k(l) = 0.
-1, 0
Let j(y) = 3*y**2 + 4*y - 5. Let p be j(3). Let v be p/40 + 15/(-25). Factor -v*a**2 - 1/4*a + 1/4*a**3 + 1/4.
(a - 1)**2*(a + 1)/4
Let y(l) be the first derivative of -1/3*l**3 + 1/5*l**5 - 1/4*l**2 + 0*l**4 + 0*l - 8 + 1/12*l**6. Determine u so that y(u) = 0.
-1, 0, 1
Suppose 0 = 5*x - 3*p - 26, -x + 2*p = -0*x - 1. Suppose 0 = -o + x - 3. Determine y so that 0 + 0*y + 0*y**3 + 2/7*y**o + 2/7*y**5 + 0*y**2 = 0.
-1, 0
Let -3/7*j**2 - 6/7*j + 78/7*j**3 - 33/7*j**4 + 0 - 36/7*j**5 = 0. Calculate j.
-2, -1/4, 0, 1/3, 1
Factor -3*b**3 + 2*b**3 - b + 3*b + 1 - b - b**2.
-(b - 1)*(b + 1)**2
Let v be 356/140*1 - 2/5. Let 0 - 9/7*x**4 - 12/7*x**5 + v*x**3 - 3/7*x + 9/7*x**2 = 0. Calculate x.
-1, 0, 1/4, 1
Suppose 11*u - 50 = 6*u. Suppose -32/3*c**3 - 16*c**2 + u*c - 4/3 = 0. Calculate c.
-2, 1/4
Let u(v) be the second derivative of 27*v**5/40 + v**4/4 - 9*v**3/4 - 3*v**2/2 + 4*v. Factor u(q).
3*(q - 1)*(q + 1)*(9*q + 2)/2
Let m be (-27)/(-18)*4/15. Let g be ((-8)/(-50))/((-3)/(-15)). Solve 0*x**2 - 2/5 + m*x**4 - g*x**3 + 4/5*x = 0 for x.
-1, 1
Let f(p) be the second derivative of 1/40*p**5 + 0*p**2 - 1/168*p**7 + 0*p**6 + 0 + 0*p**4 - 1/24*p**3 - 2*p. Solve f(l) = 0 for l.
-1, 0, 1
Let u(a) = a**2 - a + 1. Let g(t) = 4*t**2 + 3*t + 12. Let k(n) = g(n) - 3*u(n). Factor k(d).
(d + 3)**2
Let w be (-2)/(-11) - 216/(-22). Find r such that -10 - 112*r + 28*r**3 - 12*r**4 + w + 40*r**2 + 32 = 0.
-2, 1/3, 2
Let v(h) be the second derivative of -3*h + 1/60*h**6 + 0*h**2 - 5/24*h**4 + 1/84*h**7 + 0 - 1/6*h**3 - 3/40*h**5. Solve v(n) = 0.
-1, 0, 2
Suppose 17 = n + 2. Let p be ((-2)/1)/((-6)/n). Determine y, given that 1 - p + 2*y**2 + 2 = 0.
-1, 1
Let x(z) = z**3 + 19*z**2 + 38*z. Let d(a) = -a**3 - a**2 + a. Let w(v) = -2*d(v) + x(v). Factor w(k).
3*k*(k + 3)*(k + 4)
Suppose -3*w = 4*x + 6, w + 4*w - 5*x - 25 = 0. Suppose -4*k - a + 7 = -w*a, 2*a - 1 = 3*k. Solve 8*l - 6 + 3*l**2 - 2 + k*l**2 = 0.
-2, 2/3
Let g(y) be the second derivative of y**5/10 - 19*y. Factor g(f).
2*f**3
Factor -3/2*q**3 + 0*q + 0 - 21/4*q**4 + 3/4*q**2 - 3*q**5.
-3*q**2*(q + 1)**2*(4*q - 1)/4
Factor -1/4*l + 1/2*l**2 - 1/4*l**5 - 1/4 + 1/2*l**3 - 1/4*l**4.
-(l - 1)**2*(l + 1)**3/4
Suppose -5*z = -2*n - 15, -2*n + 6*n + 6 = 2*z. Factor n*h**2 + 1/2*h**4 + 0*h - 1/2*h**3 + 0.
h**3*(h - 1)/2
Let z(n) be the second derivative of 1/360*n**6 + 1/6*n**3 + 0*n**2 + 0 - 1/60*n**5 + n + 0*n**4. Let y(d) be the second derivative of z(d). Factor y(f).
f*(f - 2)
Let z(b) = -4*b**4 + 16*b**3 - 8*b**2 + 8*b + 4. Let v(y) = -y**3 - y**2 - y - 1. Let f(i) = -4*v(i) - z(i). Factor f(s).
4*s*(s - 1)**3
Suppose -5*i = -2*i - 3. Suppose -3*n + 12 = 6. Factor 0*p**2 - p**2 + n*p**2 - i + p - p**3.
-(p - 1)**2*(p + 1)
Factor 6 + 10*m**2 + 6 + 0*m - 12*m - 7*m**2.
3*(m - 2)**2
Let x(s) = s + 4. Let z be x(-3). Suppose -f - z + 3 = 0. Factor -3*q**2 + 5*q**f + q - 3*q - 4*q + 4.
2*(q - 2)*(q - 1)
Suppose -3*n = n. Factor p**4 - p**5 - 2*p**2 + 0*p**2 + n*p**2 + p + p**4.
-p*(p - 1)**3*(p + 1)
Let d = 50 + -46. What is v in 2/5*v**3 + 0 + 0*v**2 + 2/5*v**d + 0*v = 0?
-1, 0
Let i(s) = s**3 + 4*s**2 + 3*s + 6. Let t be i(-5). Let n be (-6)/39 + t/(-52). Factor 1/2*g**3 + 1/2*g**2 - n - 1/2*g.
(g - 1)*(g + 1)**2/2
Factor 0*s - 8/7*s**2 - 4/7*s**4 + 12/7*s**3 + 0.
-4*s**2*(s - 2)*(s - 1)/7
Let l(n) be the second derivative of n**4/3 - 8*n**2 - 3*n. Factor l(w).
4*(w - 2)*(w + 2)
Let m(l) be the third derivative of 1/4*l**3 + 0*l + 1/80*l**5 + 10*l**2 + 0 - 3/32*l**4. Suppose m(o) = 0. What is o?
1, 2
Suppose -2*j - 12 = -4*j. Suppose -b - 3 = -j. Let -7*a**2 + 3*a**2 + b*a + 2*a**2 - a = 0. Calculate a.
0, 1
Factor 4/15 - 2/15*d + 2/15*d**3 - 4/15*d**2.
2*(d - 2)*(d - 1)*(d + 1)/15
Let h(n) be the third derivative of -n**6/24 - 13*n**5/30 - 3*n**4/4 + 4*n**3/3 - 2*n**2. Let t(q) = q**3 + q. Let v(c) = -2*h(c) + 4*t(c). Factor v(a).
2*(a + 2)**2*(7*a - 2)
Let k(h) be the third derivative of 0 - 1/2*h**3 + 9/8*h**4 + 2/5*h**6 - 6/5*h**5 + 0*h - h**2. Solve k(x) = 0.
1/4, 1
Suppose 3 = 3*w, -m - 6*w = -w - 53. Let u be (-5)/(-21) - m/(-112). Let -7/3*y - u - 4/3*y**2 + 4/3*y**3 = 0. Calculate y.
-1/2, 2
Let r(a) be the first derivative of a**8/112 + a**7/35 - a**5/10 - a**4/8 - a**2 + 2. Let i(v) be the second derivative of r(v). Determine j so that i(j) = 0.
-1, 0, 1
Let u(f) be the third derivative of -f**5/20 - f**4/24 - 4*f**2 + 3*f. Let u(r) = 0. What is r?
-1/3, 0
Factor 66*w**2 + 8*w - 59*w - 2 - 11 - 17 + 15*w**3.
3*(w - 1)*(w + 5)*(5*w + 2)
Let s(w) be the first derivative of 2*w**5 - 5*w**4/4 - 20*w**3/3 + 15*w**2/2 - 41. Suppose s(u) = 0. What is u?
-3/2, 0, 1
Let t = -148 - -148. Solve -1/5*n**3 - 2/5*n**4 + 1/5*n**5 + t + 0*n + 2/5*n**2 = 0.
-1, 0, 1, 2
Determine r, given that 16/15*r - 32/15 - 2/15*r**2 = 0.
4
Let v(p) be the first derivative of p**6/120 - p**5/60 - p**4/24 + p**3/6 - p**2 + 3. Let u(b) be the second derivative of v(b). Factor u(y).
(y - 1)**2*(y + 1)
Let q = 227/2 - 113. Find t, given that -1/4*t**3 + 3/4*t + q + 0*t**2 = 0.
-1, 2
Let u(y) be the second derivative of y**5/80 - y**4/16 + y**3/12 - 10*y. Factor u(w).
w*