e b.
0
Let v(o) = -4*o + 6. Let u be v(1). Factor 0 - 2*z**u - 4/3*z**3 - 2/3*z.
-2*z*(z + 1)*(2*z + 1)/3
Let x(z) be the first derivative of z**6/480 - z**4/96 - 2*z**2 - 2. Let r(w) be the second derivative of x(w). Factor r(y).
y*(y - 1)*(y + 1)/4
Let w(v) = v**4 + v**3 - v**2 + v + 1. Let g(f) = f**5 + f**4 - f**2 + f + 1. Let r(t) = -2*g(t) + 2*w(t). Factor r(o).
-2*o**3*(o - 1)*(o + 1)
Let r(z) = z**2 - 19*z - 30. Let y(j) = -2*j**2 + 18*j + 30. Let f(v) = 7*r(v) + 6*y(v). Factor f(l).
-5*(l + 2)*(l + 3)
Determine a, given that -8/7 - 2/7*a**3 + 0*a + 6/7*a**2 = 0.
-1, 2
Let r(j) = -j**4 - j**3 - j**2 - j - 1. Let q = -2 + -2. Let i(p) = -3*p**4 - 3*p**3 - 5*p**2 - 5*p - 4. Let h(l) = q*r(l) + i(l). Factor h(k).
k*(k - 1)*(k + 1)**2
Let g(b) be the second derivative of -b**6/1440 - b**5/480 - 2*b**3/3 - 7*b. Let x(y) be the second derivative of g(y). Solve x(n) = 0.
-1, 0
Let h(a) = a**2 - 12*a - 11. Let s(g) = -g - 1. Let x(r) = 4*h(r) - 44*s(r). Factor x(u).
4*u*(u - 1)
Let p(f) be the first derivative of f**6/45 - 4*f**5/75 + 4. Factor p(a).
2*a**4*(a - 2)/15
Suppose 0 = 2*t + 174 + 164. Let k = -841/5 - t. Factor -2/5*s**3 - 2/5*s + 0 + k*s**2.
-2*s*(s - 1)**2/5
Factor 3*f - f - 3*f**2 - f + 2*f.
-3*f*(f - 1)
Let y(q) = -3*q**3 - 5*q**2 - 3*q - 3. Let v(i) = -19*i**3 - 31*i**2 - 18*i - 19. Let c(w) = 6*v(w) - 39*y(w). Let c(p) = 0. Calculate p.
-1
Suppose 5*f = 4*p - 32, -2*f - 27 = -5*p + f. Factor -2*x**5 - 2*x**2 + 5*x**p - 119*x**4 - 3*x**3 + 121*x**4.
-2*x**2*(x - 1)**2*(x + 1)
Suppose 2*s + s = 4*g - 3, -s - 12 = -5*g. Let m = 4/175 - -146/175. Find z such that -2*z**4 - 4/7*z + 0 - m*z**2 + 24/7*z**g = 0.
-2/7, 0, 1
Let y(d) be the third derivative of d**8/168 + 4*d**7/105 + d**6/20 - 2*d**5/15 - d**4/3 - 8*d**2. Factor y(l).
2*l*(l - 1)*(l + 1)*(l + 2)**2
Suppose -18*f - 15 = -23*f. Factor -1/4*l**f - 1/4*l**2 + 1/2*l + 0.
-l*(l - 1)*(l + 2)/4
Let -15/4*c**4 + 0 - 6*c**3 - 3/4*c**2 + 3/2*c = 0. What is c?
-1, 0, 2/5
Let r(j) be the first derivative of j**3/6 - j/2 - 5. Let r(c) = 0. What is c?
-1, 1
Let x(o) be the second derivative of o**5/90 + o**4/36 + o**2 + 3*o. Let u(j) be the first derivative of x(j). Determine c so that u(c) = 0.
-1, 0
Let a(w) be the first derivative of -3*w**5/20 - 3*w**4/2 - 9*w**3/2 + 81*w/4 + 29. Factor a(n).
-3*(n - 1)*(n + 3)**3/4
Let r(w) be the third derivative of -w**8/2856 - w**7/595 - w**6/340 - w**5/510 - 8*w**2. Find n such that r(n) = 0.
-1, 0
Let p(f) be the second derivative of f**4/4 - 11*f**3 + 363*f**2/2 + 29*f. Solve p(m) = 0.
11
Determine v so that -6*v**3 - 2*v**5 + v**5 - 4*v**4 + 6*v**2 - 10*v**2 - v = 0.
-1, 0
Suppose 0*x**4 + 4*x - 3*x**4 - 6*x**3 + 0*x**4 + 2*x + 3*x**2 = 0. Calculate x.
-2, -1, 0, 1
Let w(s) = -s**2 + s + 1. Let b(m) = 7*m**2 - 8*m - 5. Let k be ((-2)/(-6))/(3/(-9)). Let u(y) = k*b(y) - 6*w(y). Factor u(a).
-(a - 1)**2
Suppose 2*p + 8 = 2*w, 0 - 8 = -2*w - 3*p. Solve 2 - 9*n + n**w + 2*n + n**2 - 5*n**3 + 8*n**2 = 0.
1, 2
Let -2/9*z**2 - 16/9*z - 32/9 = 0. What is z?
-4
Suppose 4*o - 16 = 4. Factor 3*a**5 - 2*a**2 - a**o - 2*a**3 - 21*a**4 + 23*a**4.
2*a**2*(a - 1)*(a + 1)**2
Let r(o) be the third derivative of o**8/336 - o**6/40 + o**5/30 + 2*o**2 - 4*o. Determine k, given that r(k) = 0.
-2, 0, 1
Suppose 0 = -5*r + 2 - 22. Let a be (88/20 + r)*10. Factor 3/5*y**5 + 1/5*y**3 + 4/5*y**a + 0*y**2 + 0*y + 0.
y**3*(y + 1)*(3*y + 1)/5
Let n(t) be the first derivative of -t**6/2 - t**5/5 + 2*t**4/3 + 4*t**3/9 - 9. Factor n(k).
-k**2*(k - 1)*(3*k + 2)**2/3
Let j = 7 + -4. Solve -2*v + 0*v**3 - 4*v**j + v**2 + 5*v**2 = 0.
0, 1/2, 1
Let i be (10/(1/((-3)/(-6))))/1. Solve 2*j**2 + 4/3*j - 2/3*j**3 - 2/3*j**i - 2*j**4 + 0 = 0.
-2, -1, 0, 1
Let b = 667/34 + 49/17. Let z = -21 + b. Factor -9*h**2 - 27/2*h**3 + 0 - z*h.
-3*h*(3*h + 1)**2/2
Suppose 2/13*c**2 + 4/13*c + 0 = 0. Calculate c.
-2, 0
Suppose -84*w = -70*w - 42. Find u, given that -4/7*u - 2/7*u**2 + 2/7*u**w + 0 = 0.
-1, 0, 2
Let u(z) be the third derivative of -1/18*z**4 + 1/270*z**5 - 3*z**2 + 0 + 1/3*z**3 + 0*z. Let u(a) = 0. What is a?
3
Let t(b) be the second derivative of -b**4/3 + 4*b**3/3 + 6*b**2 + 12*b. Let t(j) = 0. Calculate j.
-1, 3
Suppose -5*l = -3*n - 10, n - 2*l + 20 = 3*l. Suppose v = n*v. Factor 0*g - 1/6*g**2 + v + 0*g**3 + 1/6*g**4.
g**2*(g - 1)*(g + 1)/6
Let j(f) be the third derivative of -8*f**2 + 1/80*f**6 - 1/80*f**5 - 1/16*f**4 + 0*f + 1/8*f**3 + 0. Factor j(g).
3*(g - 1)*(g + 1)*(2*g - 1)/4
Solve 0 - 6/19*a + 4/19*a**2 - 2/19*a**5 + 8/19*a**3 - 4/19*a**4 = 0.
-3, -1, 0, 1
Let f(w) be the third derivative of -w**6/120 + w**4/24 + 8*w**2. Factor f(u).
-u*(u - 1)*(u + 1)
Let l(a) be the third derivative of -a**6/60 + a**5/12 - a**4/24 - a**3/3 + 3*a**2. Let l(z) = 0. Calculate z.
-1/2, 1, 2
Let f be (-598)/(-14) - 14/(-49). Let v = f - 299/7. What is r in 0*r - 2/7*r**2 + 0 + v*r**3 = 0?
0, 1
Let j = 106 + -103. Determine o, given that 1/3*o + 1/3*o**j + 0 + 2/3*o**2 = 0.
-1, 0
Let v(d) be the third derivative of -d**5/80 + d**4/16 + 3*d**3/8 + d**2. Factor v(x).
-3*(x - 3)*(x + 1)/4
Let l = 6 + -10. Let u(r) = -2*r**5 - 5*r**4 - 4*r**2 + 11*r + 9. Let z(x) = -x**5 - 2*x**4 - 2*x**2 + 5*x + 4. Let w(i) = l*u(i) + 9*z(i). Factor w(b).
-b*(b - 1)**3*(b + 1)
Let a(g) be the second derivative of 1/6*g**3 + 0*g**2 + 0 + 1/24*g**4 - 3/40*g**5 - 3*g. Factor a(p).
-p*(p - 1)*(3*p + 2)/2
Let h(i) be the first derivative of 2/9*i**3 - 1 + 1/6*i**4 - 1/5*i**5 + 1/3*i - 1/2*i**2 + 1/18*i**6. Solve h(v) = 0.
-1, 1
Let t(w) be the second derivative of 0 + 1/27*w**7 + 0*w**2 - 2/27*w**3 - 19/135*w**6 + 1/6*w**5 - 1/54*w**4 - w. Solve t(f) = 0 for f.
-2/7, 0, 1
Let j(d) be the third derivative of -7*d**6/40 + d**5/10 + 7*d**4/8 - d**3 + 4*d**2. Suppose j(t) = 0. Calculate t.
-1, 2/7, 1
Suppose 9*c = 12*c - 3. Suppose 0 = 5*y - 10*y + 3*f + c, 5*y - 7 = f. Let -2/3 - 1/3*k**3 - 5/3*k - 4/3*k**y = 0. What is k?
-2, -1
Let n(p) be the first derivative of -p**4/6 - p**3/3 + p/3 + 3. Factor n(r).
-(r + 1)**2*(2*r - 1)/3
Let a(y) be the third derivative of 0 + 0*y - 1/210*y**5 + 6*y**2 + 0*y**3 + 1/84*y**4. Let a(d) = 0. What is d?
0, 1
Factor -3/2*g + 1 + 1/2*g**2.
(g - 2)*(g - 1)/2
Let p(i) be the first derivative of -2/9*i**3 + 2/15*i**5 + 0*i**4 - 3 + 0*i + 1/6*i**2 - 1/18*i**6. Factor p(c).
-c*(c - 1)**3*(c + 1)/3
Let j(o) be the third derivative of 2*o**2 + 0 + 2/45*o**6 + 2/45*o**5 + 0*o + 1/18*o**3 - 7/72*o**4. Factor j(k).
(k + 1)*(4*k - 1)**2/3
Suppose -24*y**2 + 4*y**4 - 6*y**3 - 11*y**3 - 15*y - y + 21*y**3 + 32 = 0. Calculate y.
-2, 1, 2
Solve -2 - x + 1/2*x**2 + 1/4*x**3 = 0 for x.
-2, 2
Let k(m) be the third derivative of -m**9/4536 + m**7/1260 - m**3/6 - m**2. Let q(b) be the first derivative of k(b). Factor q(l).
-2*l**3*(l - 1)*(l + 1)/3
Suppose 0 = -0*u + 3*u - 15. Solve v**4 + 26*v**5 + v**3 - 5*v**2 + 2*v - 27*v**u + 2*v**3 = 0.
-2, 0, 1
Let w(b) = -36*b**2 + 84*b - 46. Let f(r) = -35*r**2 + 83*r - 47. Let v(k) = 4*f(k) - 3*w(k). Determine d so that v(d) = 0.
5/4
Let l be 1 + 30*6/(-476). Let n = l + 4/17. Factor -2/7*b**3 + 2/7 - 6/7*b + n*b**2.
-2*(b - 1)**3/7
Find w, given that -w**2 - 2*w**4 + 2*w**4 - 3*w**4 + 4*w**4 = 0.
-1, 0, 1
Suppose 5*v = -0*k - k - 25, -4*v - 20 = k. Let 0*q - 3/2*q**3 - 3/2*q**4 + k + 3/2*q**2 + 3/2*q**5 = 0. What is q?
-1, 0, 1
Let l(u) = -2*u**4 - 24*u**3 - 28*u**2 - 10*u. Let r(c) = c**5 + 5*c**4 + 72*c**3 + 84*c**2 + 30*c. Let x(d) = -14*l(d) - 4*r(d). Factor x(a).
-4*a*(a - 5)*(a + 1)**3
Let c(m) be the first derivative of -m**5/60 + m**4/24 - m**2 - 2. Let b(y) be the second derivative of c(y). Factor b(o).
-o*(o - 1)
Let i(p) be the second derivative of 3*p + 0*p**3 + 0*p**2 + 0*p**5 + 0 + 0*p**4 - 1/30*p**6 - 1/42*p**7. Factor i(m).
-m**4*(m + 1)
Suppose 2*d**3 + 40*d**2 + 2*d**4 - 48*d**2 - 4*d - d**3 = 0. Calculate d.
-2, -1/2, 0, 2
Let d(l) be the first derivative of l**6/40 + l**5/10 + l**4/8 + l**2/2 + 4. Let v(a) be the second derivative of d(a). Suppose v(z) = 0. Calculate z.
-1, 0
Let k(f) = -2*f**4 - 14*f**3 - 38*f**2 + 14*f + 12. Let y(u) = u**4 + 5*u**3 + 13*u**2 - 5*u - 4. Let t(j) = 5*k(j) + 14*y(j). Factor t(w).
4*(w - 1)**2*(w + 1)**2
Factor 1 + 8 + w**2 + 4*w + 2*w - 4*w**2.
-3*(w - 3)*(w + 1)
Let g(x) be the second derivative o