s).
-2*(s + 1)*(s + 2)
Factor -546/5*n**2 - 338/5*n**3 - 48*n - 32/5.
-2*(n + 1)*(13*n + 4)**2/5
Let z(l) be the second derivative of -1/120*l**5 - 1/12*l**3 + 1/24*l**4 + 0 - 2*l - 2*l**2. Let x(j) be the first derivative of z(j). Factor x(d).
-(d - 1)**2/2
Let k = 1 + 2. Factor 3*i**4 - i**3 + k*i - 4*i**4 - 3*i.
-i**3*(i + 1)
Let l(m) = m**3 - 4*m**2 - m + 1. Let p be l(4). Let x be ((-5)/(-5))/(p/(-6)). Find j such that 0 + 2/11*j + 2/11*j**4 - 2/11*j**x - 2/11*j**3 = 0.
-1, 0, 1
Let r(c) be the third derivative of -c**9/60480 + c**8/4032 - c**7/630 + c**6/180 - c**5/20 - c**2. Let h(z) be the third derivative of r(z). Factor h(w).
-(w - 2)**2*(w - 1)
Let g(p) be the third derivative of 9*p**2 - 2/9*p**3 - 1/90*p**5 + 1/12*p**4 + 0 + 0*p. Let g(a) = 0. What is a?
1, 2
Factor 2/9*r**5 - 6*r + 4*r**2 + 20/9*r**3 - 14/9*r**4 - 6.
2*(r - 3)**3*(r + 1)**2/9
Suppose 0 = -5*a + 3*u + 7, 0 = -a - 2*a - 5*u + 11. Let 8*g**2 - 2*g**3 - a*g**3 - 8*g - 10*g**2 - 10*g**2 = 0. Calculate g.
-2, -1, 0
Suppose -c = -5*c + 12. Let p be (-2)/(-3) + (-77)/(-33). Suppose -4*j**3 + 6*j**p - 4*j + j + c*j**2 - 2 + 0*j**3 = 0. What is j?
-2, -1/2, 1
Let g be (-144)/(-210) - 3/(-45)*-6. Factor g*n**2 - 2/7 + 2/7*n**3 - 2/7*n.
2*(n - 1)*(n + 1)**2/7
Let p(a) be the first derivative of -a**7/63 + a**6/30 + a**5/60 - a**4/12 + a**3/18 + a - 2. Let o(x) be the first derivative of p(x). What is u in o(u) = 0?
-1, 0, 1/2, 1
Let a(k) = -k**2 + 4*k - 3. Let z be a(3). Let m be -1 + (-3 - (-6 + z)). Factor 2*r**2 + r**5 + 4*r**m - 3*r**3 - 4*r**2.
r**2*(r - 1)**2*(r + 2)
Let p(w) be the third derivative of -w**7/245 + w**6/28 - w**5/14 - 5*w**4/28 + 6*w**3/7 - 3*w**2 + 6*w. Solve p(f) = 0 for f.
-1, 1, 2, 3
Let c(l) = l**2 - 15*l + 6. Let p(b) = -3*b**2 + 30*b - 13. Let n(t) = 7*c(t) + 4*p(t). Factor n(w).
-5*(w - 2)*(w - 1)
Let y(i) be the second derivative of i**7/105 + i**6/75 - i**5/25 - i**4/15 + i**3/15 + i**2/5 - 11*i. What is w in y(w) = 0?
-1, 1
Let x(h) be the third derivative of h**5/30 - h**4/4 + 2*h**3/3 + 33*h**2. Factor x(t).
2*(t - 2)*(t - 1)
Let y(d) be the second derivative of 0*d**2 + 0 - 9/50*d**5 + 9/20*d**4 - 2*d + 0*d**3 + 1/50*d**6. Factor y(x).
3*x**2*(x - 3)**2/5
Let z(i) be the second derivative of -2*i**5/5 + i**4/3 + 7*i. Factor z(f).
-4*f**2*(2*f - 1)
Let t(u) be the third derivative of -u**11/166320 + u**10/75600 - u**5/30 + 4*u**2. Let l(k) be the third derivative of t(k). Factor l(o).
-2*o**4*(o - 1)
Suppose 4*s = -2*r + 18, s - 6*s + 15 = 0. Suppose -2/3*y + 2/3*y**r + 2/3 - 2/3*y**2 = 0. What is y?
-1, 1
Let v = -329 - -995/3. Factor v*q**3 - 2/3 - 22/3*q**2 + 13/3*q.
(q - 2)*(2*q - 1)*(4*q - 1)/3
Let z(n) = 5*n**2 - n - 3. Let u be z(-3). Let g be u/6*(-2)/(-20). Solve 1/2*m + 0 + 1/4*m**4 - g*m**2 + 0*m**3 = 0.
-2, 0, 1
Let o(m) be the first derivative of m**4/16 - m**3/6 + 18. Factor o(c).
c**2*(c - 2)/4
Let h(d) be the second derivative of -d**5/140 + d**3/14 - d**2/7 + 10*d. Find z such that h(z) = 0.
-2, 1
Let y(i) be the second derivative of 0*i**2 + 0 + 3/50*i**5 - 1/75*i**6 - 4/15*i**3 + 0*i**4 - 4*i. Factor y(a).
-2*a*(a - 2)**2*(a + 1)/5
Let j(c) be the third derivative of 0 + 0*c + 1/108*c**5 + 2*c**2 - 1/3*c**3 - 1/405*c**6 - 1/108*c**4. Let v(x) be the first derivative of j(x). Factor v(o).
-2*(o - 1)*(4*o - 1)/9
Let d = -3/70 - -31/70. Suppose 20 = 5*s, 0 = y - s - 2*s + 12. Suppose y*v**2 + d*v**4 + 0*v + 0 + 2/5*v**3 = 0. Calculate v.
-1, 0
Let p be 15 - 15 - 16/(-14). Factor -10/7*n + 4/7 + p*n**2 - 2/7*n**3.
-2*(n - 2)*(n - 1)**2/7
Let y(n) be the second derivative of n**8/840 - n**7/140 + n**6/60 - n**5/60 + n**4/4 + 2*n. Let v(q) be the third derivative of y(q). Factor v(f).
2*(f - 1)**2*(4*f - 1)
Determine i so that i + 1/3*i**3 - i**2 - 1/3 = 0.
1
Let y(b) be the first derivative of b**6/45 - b**5/15 + 2*b**3/9 - b**2/3 + 2*b - 3. Let p(j) be the first derivative of y(j). Determine k so that p(k) = 0.
-1, 1
Let a be 2/(12/14) + (-4)/(-6). Let b(f) be the first derivative of -3/5*f**2 + 0*f + 2 - 1/5*f**a. Factor b(n).
-3*n*(n + 2)/5
Factor 1/3 + 1/3*p**4 + 2*p**2 + 4/3*p**3 + 4/3*p.
(p + 1)**4/3
Let h be (-21 - -3)/(6/(-4)). Let n be (h - 13)*(-1)/2. Factor 1/4 - n*q + 1/4*q**2.
(q - 1)**2/4
Let d be ((-6)/(-4) + -2)/((-3)/12). Factor 1/5*r**5 - 3/5*r**4 + 0*r + 3/5*r**3 + 0 - 1/5*r**d.
r**2*(r - 1)**3/5
Factor 16 - 8*n**2 - 9 + 20*n + 16*n**4 - 15 - 4*n**5 - 16*n**3.
-4*(n - 2)*(n - 1)**3*(n + 1)
Let l(c) be the third derivative of 7*c**9/2376 - c**8/440 - 2*c**7/385 - c**6/495 - c**3/3 - 3*c**2. Let g(d) be the first derivative of l(d). Factor g(a).
2*a**2*(a - 1)*(7*a + 2)**2/11
Let r(t) = -2*t**2 - 5*t + 4. Let h be r(-8). Let v be (-52)/h - (-1)/(-3). Let 0 + 2/7*j**3 + 2/7*j**4 - v*j**5 - 2/7*j**2 + 0*j = 0. What is j?
-1, 0, 1
Let i be 17/5 - 3/(-5). Factor 2*c**2 + i*c**3 - 2 - 2*c**3 - 2*c + 0.
2*(c - 1)*(c + 1)**2
Let w(d) be the first derivative of 0*d**2 - 2/3*d**6 + 0*d + 7 - 3*d**4 - 12/5*d**5 - 4/3*d**3. Suppose w(y) = 0. Calculate y.
-1, 0
Let p = 127 - 887/7. Factor p*h**2 + 6/7*h + 4/7.
2*(h + 1)*(h + 2)/7
Factor -1 + 20*a**4 - 3 + 6 - 18*a**4 - 4*a**2.
2*(a - 1)**2*(a + 1)**2
Let p(d) be the second derivative of 7*d**6/225 - 8*d**5/75 - 17*d**4/90 + 2*d**3/15 - 3*d. Find y, given that p(y) = 0.
-1, 0, 2/7, 3
Let s be (4/(-28)*0)/(-2 + 4). Solve 1 - 3/4*p**2 + 1/4*p**3 + s*p = 0.
-1, 2
Suppose 0 = 3*g - 8*g. Let t(j) be the second derivative of -j + 1/2*j**2 + g - 5/6*j**3 + 25/48*j**4. Factor t(i).
(5*i - 2)**2/4
Let m(u) be the third derivative of 0*u**5 + 0*u - 1/240*u**6 - 1/24*u**3 - 7*u**2 + 1/48*u**4 + 1/840*u**7 + 0. Factor m(r).
(r - 1)**3*(r + 1)/4
Let i be 8 + -4 - 3 - -12. Factor i + 8*c + 2 + c**2 + 0 + 1.
(c + 4)**2
Let z be (1/(-6))/(1 - 9/6). Factor 0*t**2 + 1/3*t + 0 - z*t**3.
-t*(t - 1)*(t + 1)/3
Let k(j) = -j**2 - j. Let y(x) = 2*x**2 + 2*x. Let g = -9 + 12. Let a(i) = g*k(i) + 2*y(i). Factor a(o).
o*(o + 1)
Let s(f) = f**3 - 12*f**2 + 11*f + 4. Let r be s(11). Suppose -1/3*b**r - b**3 + 0 - b**2 - 1/3*b = 0. Calculate b.
-1, 0
Factor 0*k + 0*k**2 - 3/4*k**4 + 1/4*k**3 + 1/2*k**5 + 0.
k**3*(k - 1)*(2*k - 1)/4
Let x(z) = 27*z**3 + 46*z**2 - 18*z - 1. Let t(a) = -53*a**3 - 91*a**2 + 35*a + 3. Let p(y) = -3*t(y) - 7*x(y). Solve p(u) = 0.
-2, 1/6, 1/5
Let z(b) be the first derivative of -b**4/16 - b**3/6 + b**2/8 + b/2 + 4. Solve z(r) = 0 for r.
-2, -1, 1
Factor 0 + 3/2*s**2 - 3/4*s**3 + 0*s.
-3*s**2*(s - 2)/4
Factor 6048/11*m - 72*m**2 - 550*m**3 - 242*m**4 + 3456/11.
-2*(m - 1)*(11*m + 12)**3/11
Let w(f) be the first derivative of 2*f - f**2 + 1/2*f**4 - 5 - 2/3*f**3. Suppose w(q) = 0. What is q?
-1, 1
Let x be 1/3 - ((-145)/(-75) + -2). Factor -2/5*c**4 + 4/5*c**2 - x + 0*c**3 + 0*c.
-2*(c - 1)**2*(c + 1)**2/5
Let n(m) be the first derivative of -m**3/3 - m**2 - m + 1. Factor n(x).
-(x + 1)**2
Find i such that -2*i - 16*i**3 + 2*i**2 + 14*i**3 + 2*i**2 = 0.
0, 1
Let z(q) be the third derivative of 0*q**5 - 1/630*q**7 - 1/504*q**8 + 0*q**4 + 0 - 3*q**2 + 0*q + 1/360*q**6 + 0*q**3. Factor z(y).
-y**3*(y + 1)*(2*y - 1)/3
Let v(h) be the third derivative of h**6/150 + h**5/15 + h**4/10 - 6*h**3/5 + 3*h**2. Factor v(z).
4*(z - 1)*(z + 3)**2/5
Let o(y) be the second derivative of -y**6/45 + y**5/15 - 2*y**3/9 + y**2/3 - 9*y. Factor o(z).
-2*(z - 1)**3*(z + 1)/3
Let d(g) be the second derivative of 1/30*g**5 - g**2 + 0*g**3 + 0 - 1/24*g**4 + 2*g. Let y(z) be the first derivative of d(z). Factor y(u).
u*(2*u - 1)
Let z(c) be the first derivative of 2/3*c**3 + 3/2*c**4 - 1 - 3*c**2 + 2/5*c**5 - 4*c. Factor z(p).
2*(p - 1)*(p + 1)**2*(p + 2)
Let p = 6/115 - -8/23. Factor 2/5*q - p*q**2 + 2/5 - 2/5*q**3.
-2*(q - 1)*(q + 1)**2/5
Let s be (-2)/8 - (-105)/20. Let m(w) = -2. Let u(b) = -b**3 - b**2 + b - 4. Let h = -4 - -2. Let o(y) = h*u(y) + s*m(y). Factor o(g).
2*(g - 1)*(g + 1)**2
Suppose f + f + 3*z = 7, 0 = -5*f - 3*z + 13. Let b be (-32)/(-10) - f/10. Factor b*q**3 + 3*q**5 - 2*q**5 - 5*q**3 + q.
q*(q - 1)**2*(q + 1)**2
Let x(g) be the second derivative of -g**6/15 + g**5/14 + g**4/21 - 4*g. Find u, given that x(u) = 0.
-2/7, 0, 1
Let s(f) be the second derivative of -f**7/252 - f**6/45 - f**5/30 + f**4/36 + 5*f**3/36 + f**2/6 + 8*f. Let s(l) = 0. Calculate l.
-2, -1, 1
Let n(q) = -1