1 - 2/2)*l. Factor -1/2*b + 1/4*b**4 + 1/2*b**3 + q*b**2 - 1/4.
(b - 1)*(b + 1)**3/4
Factor 9*b**3 - 4*b**2 - 4*b**4 + 11*b**3 - 12*b**3.
-4*b**2*(b - 1)**2
Let n(z) be the second derivative of z**5/180 - z**4/36 + z**3/18 - 2*z**2 + 3*z. Let j(i) be the first derivative of n(i). Factor j(d).
(d - 1)**2/3
Let w(m) = 2*m**4 - 9*m**2 + 2. Let t(u) = -2*u**4 + 10*u**2 - 2. Let r(g) = 5*t(g) + 6*w(g). Factor r(d).
2*(d - 1)**2*(d + 1)**2
Factor -2/9*o**2 - 8/9 - 2/3*o**3 + 16/9*o.
-2*(o - 1)*(o + 2)*(3*o - 2)/9
Let a(x) be the third derivative of x**9/3024 - x**7/840 + x**3/6 - 3*x**2. Let g(b) be the first derivative of a(b). Factor g(n).
n**3*(n - 1)*(n + 1)
Suppose 2*a - 13 = -13. Factor -3/5*p + a*p**2 + 0 + 3/5*p**3.
3*p*(p - 1)*(p + 1)/5
Suppose 3*l + 32 = 5*l. Let r = 16 - l. Find f, given that 0 + 4/7*f + r*f**3 - 6/7*f**2 + 2/7*f**4 = 0.
-2, 0, 1
Let k(u) be the third derivative of -u**8/1344 - u**7/840 + u**6/480 + u**5/240 - 9*u**2. Factor k(x).
-x**2*(x - 1)*(x + 1)**2/4
Suppose 6*v = 10*v - 8. Let -40*w**v + w**4 + 42*w**2 + 2*w**5 - 2*w**3 - 3*w**4 = 0. Calculate w.
-1, 0, 1
Solve -4*k - 10/3 - 2/3*k**2 = 0 for k.
-5, -1
Let n(c) be the second derivative of 0*c**2 + 1/6*c**3 - 1/42*c**7 - 1/6*c**4 - 2*c + 0*c**5 + 0 + 1/15*c**6. Factor n(p).
-p*(p - 1)**3*(p + 1)
Let z be (56/(-10))/2 - -4. Factor 2/5 - z*f + 4/5*f**2.
2*(f - 1)*(2*f - 1)/5
Let u(i) = -13*i**5 + 6*i**4 - i**3 - 6*i**2. Let k(z) = 6*z**5 - 3*z**4 + 3*z**2. Let m(r) = -7*k(r) - 3*u(r). Solve m(t) = 0 for t.
-1, 0, 1
Let h(i) be the first derivative of 1/5*i**2 - 2/25*i**5 + 2/15*i**3 - 1/10*i**4 + 3 + 0*i. Factor h(u).
-2*u*(u - 1)*(u + 1)**2/5
Factor 2*d**2 - 1/6*d**3 - 8*d + 32/3.
-(d - 4)**3/6
Let r be (4 - 2)/((-3)/(-6)). Suppose 7*g - 2*g = -k + 13, k - 3 = 0. Factor -r*m**2 - 3*m + 2*m**g + 4*m**3 - m + 3*m**4 - 1.
(m - 1)*(m + 1)**2*(3*m + 1)
Let g(r) = 3*r**2 - 5*r. Let n(i) = i**3 - 3*i**2 - i + 2. Let l be n(3). Let f(m) = -m**2 + m. Let o(x) = l*g(x) - 4*f(x). Factor o(w).
w*(w + 1)
Let r(t) be the second derivative of t**4/12 - 7*t**3/6 + 5*t**2 + 21*t. Factor r(l).
(l - 5)*(l - 2)
Suppose 0 - 3*k**3 + 3/4*k**4 + 15/4*k**2 - 3/2*k = 0. What is k?
0, 1, 2
Let c(i) be the third derivative of 0*i**3 - 8*i**2 + 0*i**4 + 0*i - 1/336*i**8 + 1/120*i**6 + 0*i**7 + 0*i**5 + 0. Factor c(s).
-s**3*(s - 1)*(s + 1)
Let t(n) be the second derivative of -n**6/30 - 3*n**5/40 + n**4/8 + n**3/6 + 42*n. Factor t(v).
-v*(v - 1)*(v + 2)*(2*v + 1)/2
Let z(k) be the third derivative of -1/60*k**4 - 2*k**2 + 0 + 0*k + 0*k**3 + 1/300*k**6 + 1/150*k**5 - 1/525*k**7. Factor z(f).
-2*f*(f - 1)**2*(f + 1)/5
Let y(n) be the third derivative of 1/120*n**5 + 0*n + 1/24*n**4 + 1/12*n**3 + 0 + 3*n**2. Factor y(k).
(k + 1)**2/2
Let x = -8 - 0. Let b = -5 - x. Factor b*z**3 - 21 + 21 - 3*z**2.
3*z**2*(z - 1)
Let m be 398/12*6/(-9). Let l = m + 67/3. Find h such that -l*h**4 - 4/9*h + 2/9 + 4/9*h**3 + 0*h**2 = 0.
-1, 1
Let u(h) be the second derivative of -h**8/6720 + h**7/2520 - h**4/4 - 2*h. Let f(l) be the third derivative of u(l). Determine j so that f(j) = 0.
0, 1
Let t be -4 + (-762)/(-198) + 1/3. What is h in 0 - 2/11*h**3 + 2/11*h + 2/11*h**2 - t*h**4 = 0?
-1, 0, 1
Let m(y) be the second derivative of y**5/20 - y**3/6 - 34*y. Suppose m(p) = 0. What is p?
-1, 0, 1
Let l(s) be the first derivative of s**6/21 - s**4/14 + 9. Let l(j) = 0. What is j?
-1, 0, 1
Let g(q) be the third derivative of -q**8/1176 + q**7/735 + q**6/140 - q**5/210 - q**4/42 + 10*q**2. Suppose g(o) = 0. What is o?
-1, 0, 1, 2
Let a = -1563 + 14069/9. Factor 0 - 4/9*f + a*f**2.
2*f*(f - 2)/9
Let y(h) = h + 3. Let u be y(0). Let g(d) be the second derivative of -1/36*d**4 + 2*d + 0*d**2 + 0 + 0*d**u. Factor g(o).
-o**2/3
Suppose -31*a = 38*a - 73*a. Find z such that 1/2*z**5 + 1/2*z - 2*z**2 + 3*z**3 + a - 2*z**4 = 0.
0, 1
Let q be (-11)/(-4) + 5 + (-42)/8. Suppose -1/2*z**2 + 0 - 1/2*z - 3/2*z**4 + q*z**3 = 0. What is z?
-1/3, 0, 1
Let y(c) be the first derivative of c**4/6 + 2*c**3/3 + c**2 - 3*c + 1. Let u(s) be the first derivative of y(s). Factor u(j).
2*(j + 1)**2
Let i be 2 + -1 - (8 - 9). Suppose 5*l**4 + l**5 + 0*l**3 + 0*l**i + 8*l**3 + 4*l**2 = 0. Calculate l.
-2, -1, 0
Let j = -7/95 - -71/912. Let z(l) be the third derivative of 0*l**3 + 0 - j*l**6 + 0*l + l**2 - 1/60*l**5 - 1/48*l**4. Factor z(d).
-d*(d + 1)**2/2
Solve -5/2*l**3 - 7/2*l - 1 - 1/2*l**4 - 9/2*l**2 = 0 for l.
-2, -1
Let h = -1579/3 - -528. Determine a, given that -25/3*a**3 - h*a**4 + 20/3*a - 10*a**2 + 40/3 = 0.
-2, 1
Let n(s) be the third derivative of -s**10/30240 + s**9/7560 - s**8/6720 + s**4/3 - 9*s**2. Let l(p) be the second derivative of n(p). Factor l(c).
-c**3*(c - 1)**2
Let k = 1 - -2. Let o be (10 - 1)/(-1 + 4). Solve -3/5*m - 3*m**2 + 12/5*m**5 + 0 + o*m**4 - 9/5*m**k = 0 for m.
-1, -1/4, 0, 1
Suppose -3*q = 2*g - 4, 3*g - 4*q - 10 = -2*g. Factor 4/3*a + 1/3*a**g + 4/3.
(a + 2)**2/3
Let a(q) be the first derivative of 0*q**2 - 1/12*q**3 - 1/20*q**5 - 1 - 1/8*q**4 + 0*q. Let a(c) = 0. What is c?
-1, 0
Let k be (-4)/(-18) + (-129)/(-27). Let u(n) be the second derivative of -1/20*n**k - 2*n + 0*n**3 + 0 + 0*n**4 + 0*n**2. Factor u(w).
-w**3
Let n(y) be the first derivative of -y**3/3 - y**2/2 - 24. Factor n(j).
-j*(j + 1)
Let v(z) = z**5 + 5*z**4 - 5*z**3 - 5*z**2 - 4*z. Let l(c) = c**5 + 4*c**4 - 4*c**3 - 4*c**2 - 3*c. Let j(f) = -4*l(f) + 3*v(f). Factor j(p).
-p**2*(p - 1)*(p + 1)**2
Let l be (-4 - (-33)/6)*4. Let h be (l/(-135))/((-3)/15). Suppose 4/9*a - 2/3*a**2 + h*a**3 + 0 = 0. Calculate a.
0, 1, 2
Let n = 958/7 - 136. Let g be (-962)/(-1365) + (1 - (-51)/(-45)). Solve n*l - 10/7*l**2 + g = 0 for l.
-2/5, 1
Let q(w) be the first derivative of w**6/48 + 7*w**5/40 + 9*w**4/16 + 5*w**3/6 + w**2/2 + 43. Suppose q(g) = 0. Calculate g.
-2, -1, 0
Let v(q) be the third derivative of q**7/735 - q**6/84 + 4*q**5/105 - q**4/21 + 36*q**2. Solve v(i) = 0 for i.
0, 1, 2
Let a(t) = -9*t + 2. Let r be a(-1). What is v in v - 7*v - v - 14*v**2 - 4 - r*v = 0?
-1, -2/7
Let y(m) be the second derivative of m - 1/180*m**5 + 1/72*m**4 + m**2 + 0*m**3 + 0. Let k(p) be the first derivative of y(p). Suppose k(l) = 0. Calculate l.
0, 1
Suppose -33*v - 2 = -34*v. Factor 22/3*b**v - 4/3*b - 14*b**3 - 10/3*b**5 + 34/3*b**4 + 0.
-2*b*(b - 1)**3*(5*b - 2)/3
Let p be 7/(35/(-15))*(-8)/20. Let -3/5*d**3 + 0*d**2 - p + 9/5*d = 0. What is d?
-2, 1
Let p(n) be the second derivative of n**7/455 - n**6/390 - n**5/390 - 4*n**2 + 7*n. Let y(r) be the first derivative of p(r). Factor y(h).
2*h**2*(h - 1)*(3*h + 1)/13
Let -26*u**3 - 5*u**5 - 2 + 41/2*u**4 + 17/2*u**2 + 4*u = 0. What is u?
-2/5, 1/2, 1, 2
Suppose q - 4*q = -9. Factor -2*d**5 - 3*d**4 + 2*d**2 - 2*d**4 + 2*d**3 + q*d**4.
-2*d**2*(d - 1)*(d + 1)**2
Let u(l) be the first derivative of -11*l**3/8 - 21*l**2/8 - 9*l/8 - 9. Suppose u(h) = 0. Calculate h.
-1, -3/11
Suppose 7 = -4*s + 31. Let l(a) be the first derivative of -1 + 2/5*a**5 + 1/6*a**s + 0*a**2 + 0*a + 0*a**3 + 1/4*a**4. Suppose l(x) = 0. Calculate x.
-1, 0
Let o be 1 - (-75)/9 - 1. Let g = -23/3 + o. Determine m, given that 0*m**2 - 2/3*m**5 + 4/3*m**3 + 0 - g*m + 0*m**4 = 0.
-1, 0, 1
Let z(o) be the third derivative of o**2 + 1/3*o**3 + 1/18*o**4 + 1/270*o**5 + 0*o + 0. Find v, given that z(v) = 0.
-3
Suppose -30*w = -48*w. Factor w*z + 0 - 2/15*z**2 - 2/15*z**3.
-2*z**2*(z + 1)/15
Suppose 11 = 8*p - 37. Let 3/2*w**4 + p*w**3 + 9*w**2 + 3/2 + 6*w = 0. What is w?
-1
Let r be (-4)/(-6) + ((-128)/12 - -10). Factor r*p**2 - 2/9*p**3 + 0*p + 0*p**4 + 0 + 2/9*p**5.
2*p**3*(p - 1)*(p + 1)/9
Let p(d) be the second derivative of 0 - 1/4*d**4 + 9/2*d**2 - d**3 + 4*d. Factor p(s).
-3*(s - 1)*(s + 3)
Let p(l) be the second derivative of l**4/16 + l**3/8 - 3*l**2/4 + 25*l. What is s in p(s) = 0?
-2, 1
Suppose 0 = -0*m + 4*m - 20. Factor 3*b + 2*b**3 - m*b + 0*b.
2*b*(b - 1)*(b + 1)
Factor 0*k + 0 + 1/5*k**2 + 1/5*k**3.
k**2*(k + 1)/5
Let t(h) = -h**2 + h - 14. Let p(q) = 5*q**2 - 4*q + 57. Let g(i) = 2*p(i) + 9*t(i). Factor g(m).
(m - 3)*(m + 4)
Let j(u) be the second derivative of 1/63*u**7 - 1/18*u**4 + 1/45*u**6 + 0 - 4*u + 0*u**3 - 1/30*u**5 + 0*u**2. Determine v, given that j(v) = 0.
-1, 0, 1
Let u(r) be the third derivative of 0*r**4 - 121/840*r**