 + 0*u.
2*u**2*(u + 1)*(2*u + 1)**2/7
Let i(u) be the first derivative of u**6/270 + u**5/40 + u**4/36 + 2*u**3/3 - 10. Let g(m) be the third derivative of i(m). Factor g(b).
(b + 2)*(4*b + 1)/3
Let s(t) be the second derivative of -t**6/45 + t**5/18 - t**4/36 + 3*t**2/2 - t. Let g(h) be the first derivative of s(h). Solve g(w) = 0.
0, 1/4, 1
Suppose -3 = -j - 0. Factor 3*x**5 - j*x**5 - x**5 + 2*x + 2*x**2 - x - 2*x**4.
-x*(x - 1)*(x + 1)**3
Let t(y) be the second derivative of -7*y**5/30 - 29*y**4/9 - 128*y**3/9 - 32*y**2/3 - 16*y. Factor t(c).
-2*(c + 4)**2*(7*c + 2)/3
Factor 0 - 3/5*h**3 - 3/5*h + 6/5*h**2.
-3*h*(h - 1)**2/5
Suppose 4*x - 7*f + 9*f = 18, -5*f = 5*x - 30. Let v = 33 - 98/3. Factor 5/3*t**x + v*t + 8/3*t**2 - 2/3.
(t + 1)**2*(5*t - 2)/3
Let i(b) be the third derivative of -b**5/100 + 3*b**4/40 - b**3/5 + 7*b**2. Solve i(u) = 0 for u.
1, 2
Let q be (4 + -3)*-2 + 7. Find y, given that y**2 + 1 - y**3 - 1 - y**4 + y**q = 0.
-1, 0, 1
Suppose -4 = f - 3*f. Suppose -f*a + 4*y = -16, y - 50 = -4*a - 18. Let -4*b**4 - a*b**5 - 3*b**4 + 8*b**3 + 0*b**4 + 5*b**4 + 2*b**2 = 0. What is b?
-1, -1/4, 0, 1
Let p(m) = -5*m - 1. Suppose -2*n = 0, -2 = 5*o - n + 3. Let x be p(o). Suppose 14/3*z**3 - 14/3*z + 4/3 + 2*z**2 - 10/3*z**x = 0. Calculate z.
-1, 2/5, 1
Determine h, given that -12*h**2 + 7*h**4 - 16 + 32*h - 9*h**4 - 8*h**3 + 6*h**4 = 0.
-2, 1, 2
Let g(y) be the first derivative of 1/12*y**3 + 1/2*y + 3/8*y**2 + 6. Suppose g(z) = 0. What is z?
-2, -1
Let l(x) be the first derivative of x**3 - 9*x**2 + 27*x - 3. Let l(d) = 0. What is d?
3
Let s(u) be the third derivative of -u**7/840 + u**6/180 - u**5/120 - u**3/6 - u**2. Let d(h) be the first derivative of s(h). Determine y, given that d(y) = 0.
0, 1
Factor 2/13*q**2 - 4/13*q + 2/13.
2*(q - 1)**2/13
Suppose 5*b + 4*k + 12 = 4*b, -9 = -5*b + 3*k. Factor -3/7*h + b + 3/7*h**2.
3*h*(h - 1)/7
Factor -3*f - 13 + 8*f**3 + 13 + 2*f**4 + 7*f + 10*f**2.
2*f*(f + 1)**2*(f + 2)
Suppose 2*o - 115 = 77. Let m = o + -670/7. Factor -m*b + 2/7*b**4 - 6/7*b**3 + 6/7*b**2 + 0.
2*b*(b - 1)**3/7
Let b(z) be the second derivative of -z**10/45360 + z**9/11340 - z**7/1890 + z**6/1080 - z**4/4 + 3*z. Let o(g) be the third derivative of b(g). Factor o(k).
-2*k*(k - 1)**3*(k + 1)/3
Solve 274/9*o**3 - 16/9 + 52/9*o**2 - 8*o + 98/9*o**5 - 112/3*o**4 = 0.
-2/7, 1, 2
Let a(n) be the third derivative of 2*n**8/21 + 68*n**7/105 + 17*n**6/15 + 5*n**5/6 + n**4/4 - n**2. Determine g, given that a(g) = 0.
-3, -1/2, -1/4, 0
Find k, given that -22/3*k**4 + 0 - 4/3*k - 2*k**5 - 6*k**2 - 10*k**3 = 0.
-1, -2/3, 0
What is i in -8/9*i**2 + 2/9*i**3 - 10/9*i + 0 = 0?
-1, 0, 5
Let w(p) = p**2 - 7*p + 2. Let d be w(7). Suppose 17 = 3*u - 2*o, 4*u - d*o - 8 = 14. Factor 2*b**u - 2*b**2 - 2*b**3 + 1 + b**4 + b - b**5 + 0*b**2.
(b - 1)**2*(b + 1)**3
Find u such that 8/9*u - 4/3 - 1/9*u**2 = 0.
2, 6
Let w = 1744 - 7031/4. Let c = w + 14. Find q, given that 1/4*q**3 + 1/4*q**4 - 1/4*q - c*q**2 + 0 = 0.
-1, 0, 1
Let p = -52/9 - -131/18. Let h be ((-1)/(-5))/(-1 - (-7)/5). Find t such that 0 + p*t**4 + h*t**2 - 3/2*t**3 - 1/2*t**5 + 0*t = 0.
0, 1
Suppose x - 2*x + 41 = 0. Let h = x + -13. Suppose 40*s + 22*s**2 + 6 + 2 + h*s**2 = 0. What is s?
-2/5
Let j(h) be the third derivative of -h**8/1512 - 2*h**7/945 - h**6/540 + h**2. Factor j(u).
-2*u**3*(u + 1)**2/9
Factor -l - 3*l + 112 + l**2 - 109.
(l - 3)*(l - 1)
Let s(v) be the second derivative of -12*v**6/5 + 67*v**5/5 - 77*v**4/3 + 64*v**3/3 - 8*v**2 + 9*v. Suppose s(o) = 0. Calculate o.
2/9, 1/2, 1, 2
Let i be 1/(-3) + 16/(-6). Let m be (i/2)/(3/(-4)). Factor p - p**m - p**2 + 2*p**2 - p**3.
-p*(p - 1)*(p + 1)
Let x(z) be the third derivative of -z**5/6 + 9*z**4/4 - 10*z**3/3 + 26*z**2. Factor x(v).
-2*(v - 5)*(5*v - 2)
Suppose -8/5*c**4 - 2*c**3 + 14/5*c**2 + 4/5*c + 0 = 0. Calculate c.
-2, -1/4, 0, 1
Let b(h) be the second derivative of h**9/5040 + 3*h**4/4 - 2*h. Let g(u) be the third derivative of b(u). Factor g(a).
3*a**4
Let c(s) be the third derivative of s**9/30240 + s**8/3360 + s**7/1260 + s**5/60 - s**2. Let l(r) be the third derivative of c(r). Find j such that l(j) = 0.
-2, -1, 0
Let a(w) be the first derivative of 1/6*w**4 + 0*w - 4/9*w**3 + 2 + 1/3*w**2. Factor a(b).
2*b*(b - 1)**2/3
Let f(g) be the third derivative of 0 + 0*g**5 - 1/30*g**6 + 0*g**3 + 1/12*g**4 + 1/168*g**8 + 0*g**7 + 0*g - g**2. Let f(k) = 0. What is k?
-1, 0, 1
Let c be (2/((-32)/6))/((-16)/64). Determine a so that -3/2 + 0*a + c*a**2 = 0.
-1, 1
Suppose -5*o + 0*o + 15 = 0. Suppose 0 = -x + 5 - o. Factor -a**x + 3*a - 5*a + 3*a.
-a*(a - 1)
Suppose 5*g - 5*j - 10 = 0, -3*g + 5*j = -5 - 1. Determine d, given that -15/2*d - 3 - 3/2*d**3 - 6*d**g = 0.
-2, -1
Factor -14/17 - 2/17*k**2 + 16/17*k.
-2*(k - 7)*(k - 1)/17
Let c(j) be the third derivative of -j**9/15120 + j**8/2520 - j**7/1260 + j**5/10 + 5*j**2. Let k(u) be the third derivative of c(u). Factor k(y).
-4*y*(y - 1)**2
Factor 4/5*o**2 - 1/5*o**3 + 2/5 - o.
-(o - 2)*(o - 1)**2/5
Let y(s) be the first derivative of 3*s**5/40 + 3*s**4/32 - s**3/8 - 3*s**2/16 - 21. Factor y(o).
3*o*(o - 1)*(o + 1)**2/8
Find d such that -4/5 + 2/5*d**3 - 4/5*d - 1/5*d**4 + 3/5*d**2 = 0.
-1, 2
Let q(y) be the second derivative of -1/50*y**5 + 2/15*y**3 + 1/30*y**4 + 0*y**2 + 0 + 2*y. Factor q(w).
-2*w*(w - 2)*(w + 1)/5
Let h(x) = 12*x**5 - 4*x**4 - 16*x**2 + 16. Let z(i) = 4*i**5 - i**4 - 5*i**2 + 5. Let r(u) = -5*h(u) + 16*z(u). Factor r(m).
4*m**4*(m + 1)
Let 16*u - 4*u**3 - 3*u**4 - 13*u + u**3 + 3*u**2 = 0. What is u?
-1, 0, 1
Let o(p) be the third derivative of p**8/560 - p**7/140 + p**6/120 - 7*p**3/6 + p**2. Let u(b) be the first derivative of o(b). Factor u(t).
3*t**2*(t - 1)**2
Let m be 6/15 + (-28)/(-30). Suppose m*z**4 + 44/9*z**2 + 4/9 - 38/9*z**3 - 22/9*z = 0. What is z?
1/2, 2/3, 1
Let n = 32 - 29. Let b(r) be the first derivative of -1/3*r**2 + n - 1/9*r**3 + 0*r + 1/4*r**4. Determine t so that b(t) = 0.
-2/3, 0, 1
Let x be -3*(-2)/9*(-6)/(-10). Solve x*c + 1/5 - 2/5*c**3 - 1/5*c**2 = 0 for c.
-1, -1/2, 1
Suppose 0 = -9*t + 3*t + 12. Solve 2/3 + 11/3*s + 7/3*s**3 + 16/3*s**t = 0 for s.
-1, -2/7
Factor 0 - 4/3*o**2 + 0*o - 4/3*o**3.
-4*o**2*(o + 1)/3
Let -20/7*y - 16/7 + 6/7*y**2 = 0. Calculate y.
-2/3, 4
Determine j so that 2*j + 2/5*j**4 - 4/5 - 6/5*j**2 - 2/5*j**3 = 0.
-2, 1
Let x(k) be the first derivative of -1/12*k**3 + 1/8*k**2 + 2 + 0*k. Factor x(a).
-a*(a - 1)/4
Let h(l) = l**3 + l**2 + 1. Let g(f) = -5*f**3 + f**2 - 4*f - 4. Let d(t) = -g(t) - 4*h(t). Determine k, given that d(k) = 0.
0, 1, 4
Let g(s) be the first derivative of s**5/15 - s**3/9 - 25. Determine m so that g(m) = 0.
-1, 0, 1
Let r(g) be the third derivative of -g**10/604800 + g**5/60 - 3*g**2. Let l(j) be the third derivative of r(j). What is u in l(u) = 0?
0
Let t(b) be the second derivative of -1/2*b**2 - 1/4*b**3 + 0 + b - 1/24*b**4. Factor t(l).
-(l + 1)*(l + 2)/2
Let g(h) = h**3 + 10*h**2 + 4. Let t be g(-10). Let d(z) be the first derivative of 0*z - 14/9*z**3 + 2/3*z**2 + 2 + 5/6*z**t. Factor d(w).
2*w*(w - 1)*(5*w - 2)/3
Factor 1/5*c**2 + 9/5 + 6/5*c.
(c + 3)**2/5
Let j(p) = p**2 - 18*p + 58. Let l be j(14). Determine z so that 1/2*z**4 + 0*z**l - z + z**3 - 1/2 = 0.
-1, 1
Let t(g) = 6*g**2 - 48*g. Let c be t(8). Let 14/3*b**5 + 46/3*b**4 + 18*b**3 + c + 4/3*b + 26/3*b**2 = 0. Calculate b.
-1, -2/7, 0
Let q(c) be the third derivative of 1/3*c**3 + 0 + 0*c - 2*c**2 + 1/6*c**4 - 1/30*c**5 + 1/360*c**6. Let r(y) be the first derivative of q(y). Factor r(z).
(z - 2)**2
Let z(g) be the second derivative of -1/66*g**4 - 3*g + 0*g**2 + 0 - 1/33*g**3. Let z(p) = 0. Calculate p.
-1, 0
Determine j, given that -2/3*j**4 + 0 + 0*j - 2/3*j**2 - 4/3*j**3 = 0.
-1, 0
Let t = 94/3 - 31. Let a = -5 - -9. Factor 4/3*s**2 - 2*s**3 - t*s - 1/3*s**5 + 4/3*s**a + 0.
-s*(s - 1)**4/3
Let s = 12 + -21. Let y be (s/(-27))/(0 - -1). Factor 1/3*t**2 + 0*t - y.
(t - 1)*(t + 1)/3
Let v(a) = 2*a**2 - 4*a + 3. Let m = -4 - -6. Let f be v(m). Factor -p - 4*p**f + 6*p**3 + 1 + p**4 + 2*p**5 - 3*p**5 - 2*p**2.
-(p - 1)**3*(p + 1)**2
Let i(r) be the first derivative of r**8/1344 + r**7/280 - 4*r**2 - 7. Let t(y) be the second derivative of i(y). Factor t(f).
f**4*(f + 3)/4
Suppose 0 = 2*f - 2*r, 6*f + 5*r =