2 - x**4 - 3*x + 5*x.
2*x*(x + 1)**3
Let h = -197/6 + 33. Let t(n) be the second derivative of h*n**3 + 1/2*n**2 + 0 + 1/48*n**4 - n. Let t(a) = 0. Calculate a.
-2
Determine n, given that 0 + 20/9*n**2 + 12*n**4 - 2/9*n - 6*n**5 - 8*n**3 = 0.
0, 1/3, 1
Let j(g) be the second derivative of -3*g**5/160 + 5*g**4/32 - g**3/4 + 6*g. Factor j(l).
-3*l*(l - 4)*(l - 1)/8
Suppose m**4 + m**3 - 4*m**3 - m + 5*m = 0. What is m?
-1, 0, 2
Let 6/11*c - 16/11*c**4 + 20/11*c**2 - 6/11*c**5 - 4/11 + 0*c**3 = 0. What is c?
-2, -1, 1/3, 1
Suppose -5*z = 4*b - 28, 4*b = 5*z - 11 - 1. Factor -13*a + 3 + 19*a - 3 - 3*a**b.
-3*a*(a - 2)
What is y in -5 + 5/2*y**3 + 5*y**2 - 5/2*y = 0?
-2, -1, 1
Let i(m) be the second derivative of m**8/280 - m**7/105 + m**6/300 + m**5/150 + 2*m**2 + 2*m. Let g(v) be the first derivative of i(v). Factor g(y).
2*y**2*(y - 1)**2*(3*y + 1)/5
Factor -2*s**3 + 4 + 2*s**2 - 4 + 0*s**2.
-2*s**2*(s - 1)
Let n(w) be the second derivative of -w**6/15 + w**5/10 - 26*w. Factor n(m).
-2*m**3*(m - 1)
Let q(r) = -3*r**3 + 53*r**2 - 225*r + 371. Let x(m) = -6*m**3 + 108*m**2 - 450*m + 741. Let i(h) = 9*q(h) - 4*x(h). Solve i(v) = 0 for v.
5
Suppose 0 = 4*m - 5*q - 24 + 2, 0 = -q + 2. Let 3 - 3 - m*d**2 + 2*d + 2 + 4*d = 0. Calculate d.
-1/4, 1
Let z = -2 + -1. Let p(g) = g**3 + 2*g**2 - 5*g - 3. Let o be p(z). Factor m**3 + 3*m**5 + 0*m**3 + o*m**4 - 7*m**4.
m**3*(m - 1)*(3*m - 1)
Let f be 2/4*0/(-7). Let g be 3/5*10/2. Suppose 1/2 + t**g - t - 1/2*t**4 + f*t**2 = 0. What is t?
-1, 1
Let f(m) be the first derivative of m**3/3 - 1. Let n(x) = 49*x**3 + 22*x**2 - 24*x + 4. Suppose -h + 1 + 0 = 0. Let z(r) = h*n(r) - f(r). Factor z(u).
(u + 1)*(7*u - 2)**2
Suppose 5*v - 28 = y, v + 1 + 6 = -4*y. Suppose i**v - i**4 + 0*i**3 + 1 + 2*i**3 - i - 2*i**5 + 2*i**2 - 2 = 0. Calculate i.
-1, 1
Let l(p) be the second derivative of -p**4/15 - 8*p**3/15 - 6*p**2/5 - p + 33. Factor l(h).
-4*(h + 1)*(h + 3)/5
Suppose -1 = -2*m + 5. Suppose -4*y - 9 = 11, m*y = -4*i + 1. Solve 3/5*t**i + 0*t + 0 - 2/5*t**5 + 3/5*t**3 - 2/5*t**2 = 0.
-1, 0, 1/2, 2
Factor -28*m - 2 + 3*m**2 + 25*m + 2.
3*m*(m - 1)
Let t(h) be the second derivative of h**6/105 - h**5/35 + h**4/42 - 10*h. What is g in t(g) = 0?
0, 1
Determine i so that 2/9*i + 0 + 2/9*i**2 = 0.
-1, 0
Let x be (-3)/18*44/(-33). Solve -x*o + 4/9*o**2 + 26/9*o**3 + 0 - 16/3*o**5 - 28/9*o**4 = 0 for o.
-1, -1/3, 0, 1/4, 1/2
Factor 14/17*x + 4/17 + 18/17*x**2 + 10/17*x**3 + 2/17*x**4.
2*(x + 1)**3*(x + 2)/17
Solve 3 - 1/2*f + 1/2*f**3 - 3*f**2 = 0.
-1, 1, 6
Let i(d) be the first derivative of 2*d**3/9 - 2*d**2/3 + 18. Factor i(m).
2*m*(m - 2)/3
Let p = 419/44 + -102/11. Factor -p*h**2 + 1/2 + 1/4*h.
-(h - 2)*(h + 1)/4
Let a(l) be the first derivative of 0*l**2 - 4/9*l**3 - 1/6*l**4 - 6 + 0*l. Factor a(c).
-2*c**2*(c + 2)/3
Factor -35*v**2 + 3*v**3 - 2*v**4 - v**5 + 33*v**2 + 2*v**4.
-v**2*(v - 1)**2*(v + 2)
Let p = 451/1908 + -3/212. Find d, given that -p*d**2 + 4/9 - 2/9*d = 0.
-2, 1
Let c(g) be the third derivative of -1/180*g**5 + 0 + 5*g**2 - 2/9*g**3 + 0*g + 1/18*g**4. Factor c(a).
-(a - 2)**2/3
Let 2/5*y**4 - 6/5*y**3 + 6/5*y - 4/5 + 2/5*y**2 = 0. What is y?
-1, 1, 2
Factor 0 - 1/2*l**2 - l.
-l*(l + 2)/2
Determine u, given that 8/9 + 4/3*u**2 - 2*u - 2/9*u**3 = 0.
1, 4
Let x be 20/150 - -1*4/(-30). Determine j, given that -2/3*j**3 + x*j + 0 - 2/3*j**2 = 0.
-1, 0
Let x(n) = -4*n**2 - 10*n. Let c(o) = -3*o**2 - 7*o. Let q = 5 - 0. Let b(l) = q*x(l) - 7*c(l). Determine k so that b(k) = 0.
0, 1
Let a = -8 + 27. Let s = a - 16. Determine c so that 1/3*c**s + 4/3*c + 4/3*c**2 + 0 = 0.
-2, 0
Factor 0 - 27*x - 1/3*x**3 - 6*x**2.
-x*(x + 9)**2/3
Let p be 27/((-3240)/16)*-1*3. Suppose -4/5*c + 0 + p*c**2 = 0. What is c?
0, 2
Let n(p) be the second derivative of p**5/5 - p**4 + 2*p**3 - 2*p**2 + 3*p. Factor n(d).
4*(d - 1)**3
Let k(t) be the second derivative of 5*t**9/1512 + t**8/120 + t**7/210 + t**3/6 + 2*t. Let l(p) be the second derivative of k(p). Solve l(d) = 0.
-1, -2/5, 0
Suppose 0 = -2*x - 476 + 482. Let 16/3*w**x - 1/3 - 8/3*w**2 - 7/3*w = 0. Calculate w.
-1/4, 1
Suppose 2 = 2*b - b. Let i be (-2)/(-2) - (-2 + 3). Determine l so that -7*l + i*l**2 + b + 0 + 5*l**2 = 0.
2/5, 1
Let l = 346/7 - 13819/280. Let r(c) be the second derivative of 4*c + 1/4*c**3 - 1/6*c**4 + l*c**6 - 3/40*c**5 + 0 - 1/8*c**2. Factor r(v).
(v - 1)*(v + 1)*(3*v - 1)**2/4
Let d(r) = 2*r. Let u be d(3). Let i(k) be the third derivative of 0*k**7 - 1/504*k**8 + k**2 + 0*k**3 + 0 + 1/180*k**u + 0*k + 0*k**4 + 0*k**5. Factor i(l).
-2*l**3*(l - 1)*(l + 1)/3
Let a(q) be the second derivative of q**9/6048 + q**8/1680 + q**7/1680 - q**3/3 + 4*q. Let z(n) be the second derivative of a(n). Factor z(y).
y**3*(y + 1)**2/2
Suppose b = -4*h + 10, 5*b = -h + 21 - 9. Factor 8/7 + 22/7*f**h - 6/7*f**3 - 24/7*f.
-2*(f - 2)*(f - 1)*(3*f - 2)/7
Let y(o) be the second derivative of -o**4/42 + 6*o. Factor y(g).
-2*g**2/7
Let v = -181/4 - -91/2. Solve 0 + v*b - 1/4*b**2 = 0.
0, 1
Let v(l) be the second derivative of -1/8*l**4 + 0 + 6*l + 1/2*l**3 - 3/4*l**2. Factor v(d).
-3*(d - 1)**2/2
Let x(g) be the second derivative of g**7/10080 - g**5/480 - 5*g**4/12 - 6*g. Let i(b) be the third derivative of x(b). Factor i(p).
(p - 1)*(p + 1)/4
Let n(l) be the first derivative of l**5/30 - l**4/24 + 17. Factor n(p).
p**3*(p - 1)/6
Let j(r) = -4*r**4 + 13*r**3 + 4*r**2 - 13*r. Let c(i) = -2*i**4 + 6*i**3 + 2*i**2 - 6*i. Let d(f) = 13*c(f) - 6*j(f). Let d(h) = 0. What is h?
-1, 0, 1
Let z(d) be the second derivative of d**4/42 - d**3/21 + 5*d. Find v such that z(v) = 0.
0, 1
Let b(r) be the third derivative of 1/18*r**4 + 0 + 1/45*r**5 + 2*r**2 - 4/9*r**3 + 0*r. Suppose b(n) = 0. What is n?
-2, 1
Let c(m) = -m**3 + 8*m**2 - 6*m - 3. Let y be c(6). Suppose -2 = -5*l - 5*z + y, 2*l - 5*z = -14. Solve -25/3*g**l - 2/3 + 7*g**2 + 3*g**4 - g = 0 for g.
-2/9, 1
Suppose -2*x - 2*m = -10, m - 1 = 2*x - 26. Let h be 2/x + (-7)/(-15). Factor h*q**3 + 0*q + 0*q**2 + 4/3*q**4 + 2/3*q**5 + 0.
2*q**3*(q + 1)**2/3
What is v in -54/7*v**5 + 60/7*v**3 + 0 + 18/7*v**4 - 8/7*v**2 - 16/7*v = 0?
-2/3, 0, 2/3, 1
Suppose 2*p = -0*p + 4*n + 2, 3 = -2*p - n. Let g = 1 - p. Factor 5*w + 0 - 3*w**2 + w**g - w - 2.
-2*(w - 1)**2
Let q = 3 + -1. Let r be (-10)/(-4) - 4*3/6. Factor f - 1/2*f**q - r.
-(f - 1)**2/2
Suppose 16*x + 39*x - 40*x**2 - 20 + x**3 + 20*x - 16*x**3 = 0. What is x?
-4, 1/3, 1
Let k(x) = -x + 5. Let o be k(0). Let j be (2/o)/((-1)/(-15)). Factor 2*g**2 - 2*g**2 + j*g - 3*g**2 + 0*g**2.
-3*g*(g - 2)
Let q = -3 - -8. Factor 12*z**q + 9*z**4 - z**3 + z**4 + 3*z**3.
2*z**3*(2*z + 1)*(3*z + 1)
Let a(h) be the third derivative of h**7/420 + h**6/240 + 10*h**2. Factor a(p).
p**3*(p + 1)/2
Let r(a) be the second derivative of 0*a**2 - 1/3*a**4 - 5*a + 0 + 0*a**3 - 7/10*a**5. Let r(z) = 0. Calculate z.
-2/7, 0
Let p(q) = 9*q**3 - 18*q**2 + 15*q - 12. Let z(t) = 8*t**3 - 17*t**2 + 15*t - 11. Let l(k) = -5*p(k) + 6*z(k). Let l(y) = 0. Calculate y.
1, 2
Let v(h) be the first derivative of 125*h**6/6 + 30*h**5 - 45*h**4 + 40*h**3/3 + 12. Suppose v(g) = 0. What is g?
-2, 0, 2/5
Let t(j) be the first derivative of -j**4/18 + 2*j**3/9 + 6. Factor t(i).
-2*i**2*(i - 3)/9
Factor 3/8*x**2 + 0*x + 0.
3*x**2/8
Let l(y) be the second derivative of 0 - 4*y + 1/5*y**3 + 1/10*y**4 + 1/50*y**5 + 1/5*y**2. Solve l(p) = 0.
-1
What is z in -3*z + 3 - 3*z**2 + 9*z**3 - 12*z**3 + 6*z = 0?
-1, 1
Suppose -7 = -5*l + 23. Let o = 9 - l. Solve -z + 3*z**3 + 3*z**o - 5*z**3 = 0.
-1, 0, 1
Factor 4*h**4 + 4*h**2 - 3*h**3 - 4*h**3 - h**3.
4*h**2*(h - 1)**2
Let 5/7 + 11/7*b + b**2 + 1/7*b**3 = 0. Calculate b.
-5, -1
Let p(o) be the second derivative of o**7/42 - o**6/15 + o**4/6 - o**3/6 - 5*o. Solve p(j) = 0.
-1, 0, 1
Suppose w - 18 = 3*z, 5*z = -2*w + z - 14. Solve 0*b**4 + 2*b**3 - b**4 - 3*b**w = 0.
-1, 0
Let d(p) = 2*p**2 - 3*p - 5. Let w(i) = 4*i**2 - 6*i - 9. Let a(o) = -12*o**2 + o. Let j be a(1). Let l(s) = j*d(s) + 6*w(s). Factor l(u).
(u - 1)*(2*u - 1)
Let w be ((-25)/(-4))/5*4. Suppose 5*i - 5*v + 0*v + 20 = 0, -w*v = i - 20. Suppose -4*m**3 + i*m + 0*m**5 + 2*m**5 + 2*m = 0. What is m?
-1, 0, 1
Let d(z) be the second derivative of -z**4/60 + z**3/15 - z**2/10 + 2*z. Factor d(r).
-(r - 1)**2/5
Suppose -8*s = 14*s