- 8/7*h**3 - 12/7*h**2 - i*h**4 - 2/7.
-2*(h + 1)**4/7
Let u be (-3)/9*(-4 - -2). Find d such that 3*d + 3*d**4 + u + 1/3*d**2 - 7*d**3 = 0.
-1/3, 1, 2
Let b(p) be the second derivative of p**7/21 + 2*p**6/5 - 16*p**4/3 + 61*p. Factor b(u).
2*u**2*(u - 2)*(u + 4)**2
Let c be (-2)/17 - (-1885)/15300. Let k(n) be the third derivative of c*n**5 + 0*n**3 + 4*n**2 + 0 - 1/36*n**4 + 0*n. Suppose k(z) = 0. Calculate z.
0, 2
Let u(f) be the third derivative of f**6/120 + f**5/60 - f**4/24 - f**3/6 - 20*f**2. Find q, given that u(q) = 0.
-1, 1
Let w(p) be the third derivative of 16*p**6/135 - 8*p**5/15 + 11*p**4/36 - 2*p**3/27 + 36*p**2. Factor w(c).
2*(c - 2)*(8*c - 1)**2/9
Factor -4/5*s**2 + 0*s - 2/5*s**4 + 0 + 6/5*s**3.
-2*s**2*(s - 2)*(s - 1)/5
Let f(s) be the third derivative of 3*s**6/40 - 2*s**5/5 + s**4/2 - 18*s**2. Find g such that f(g) = 0.
0, 2/3, 2
Suppose w - h - h = 10, 20 = 4*w - 4*h. Let v(o) be the first derivative of 2 - 4/15*o**3 + 0*o + w*o**2 + 7/10*o**4. Determine a so that v(a) = 0.
0, 2/7
Let k be (-8 + 2 + 1)*-1. Factor 2*u - 2*u**4 - u**3 + 8*u - 10*u + u**k + 2*u**2.
u**2*(u - 2)*(u - 1)*(u + 1)
Let p = 1/1006 - 17607/2012. Let s = p - -9. Suppose s*u**4 - 1/2*u**2 + 1/4*u**3 + 0*u + 0 = 0. Calculate u.
-2, 0, 1
Let i(k) = -8*k - 35. Let f be i(-5). Factor -2/5*z**f + 0*z**3 - 4/5*z**4 + 0 + 2/5*z + 4/5*z**2.
-2*z*(z - 1)*(z + 1)**3/5
Let u(l) be the first derivative of -8*l**4/21 - 8*l**3/21 - l**2/7 + l - 5. Let y(x) be the first derivative of u(x). Factor y(k).
-2*(4*k + 1)**2/7
Let u = 6 - 4. Factor 4/3*m - 4/3*m**3 - 2/3*m**u + 0 + 2/3*m**4.
2*m*(m - 2)*(m - 1)*(m + 1)/3
Suppose 5*u - 7 = 13. Factor -2*o**3 + 2*o**3 + 12*o - 6*o**2 - u*o**3 + 24 + o**3.
-3*(o - 2)*(o + 2)**2
Let h be (-2)/(0 - (-2)/7). Let f(z) = -13*z**2 - 5*z + 7. Let g(a) = -6*a**2 - 2*a + 3. Let d(b) = h*g(b) + 3*f(b). Find s such that d(s) = 0.
0, 1/3
Let k(r) be the second derivative of r**3 + 0 - 1/10*r**6 - 9/20*r**5 - 6*r + 0*r**2 + 1/4*r**4 + 1/14*r**7. Factor k(o).
3*o*(o - 2)*(o - 1)*(o + 1)**2
Suppose -z = -3*o + 1, z + 2 = -0*z + 4*o. Suppose -9*l**z - 2*l - l - 3*l**3 + 6 + 6*l**3 + 3*l**4 = 0. Calculate l.
-2, -1, 1
Let y(x) = -x**3 + 8*x**2 + 3*x + 1. Let h be y(8). Let o be (-9)/(-15) + 35/h. Determine i so that i**o + 1/3*i**4 - i**3 - 1/3*i + 0 = 0.
0, 1
Find p such that 0*p**4 - 4*p**3 - 488*p**2 - 8*p + 8*p**4 + 468*p**2 = 0.
-1, -1/2, 0, 2
Factor 6/19*r - 2/19*r**2 + 8/19.
-2*(r - 4)*(r + 1)/19
Let z be 1*-2 + (4 - 2). Solve 1 - p**2 - 3*p + 2*p + p**3 + z*p**2 = 0 for p.
-1, 1
Let m(y) be the third derivative of 0*y**6 + 1/945*y**7 + 0*y**3 - 1/270*y**5 - 2*y**2 + 0 + 0*y + 0*y**4. Suppose m(i) = 0. What is i?
-1, 0, 1
Suppose 6*h = 14 + 4. Let n(y) be the second derivative of 4/9*y**3 + 4/3*y**2 + 0 + 1/18*y**4 + h*y. Factor n(i).
2*(i + 2)**2/3
Factor 3/7*o**2 - 3/7 + 0*o.
3*(o - 1)*(o + 1)/7
Let q = -6 + 3. Let z = q - -5. Factor -20*a**3 - 7*a - 3*a**4 - 3*a - 2*a**5 - 7*a**4 - 2 - 20*a**z.
-2*(a + 1)**5
Let x be 0*1/7*(-7)/(-2). Factor -2/5*i**2 + x*i + 2/5.
-2*(i - 1)*(i + 1)/5
Factor d - 1/2 - 1/2*d**2.
-(d - 1)**2/2
Factor 2/5*y**2 - 3*y + 7/5.
(y - 7)*(2*y - 1)/5
Factor -17*m + 80 + 5*m**2 - 21*m + 2*m - 4*m.
5*(m - 4)**2
Let f(j) be the third derivative of j**7/14 - j**6/20 - j**5/4 + j**4/4 - j**2. Find r, given that f(r) = 0.
-1, 0, 2/5, 1
Determine t so that 10*t**2 - 19*t - 8 + 22*t**2 - t - 4*t**2 = 0.
-2/7, 1
Let w(o) be the first derivative of 0*o**2 + 2/27*o**3 + 2 + 0*o. Factor w(b).
2*b**2/9
Let c(a) be the second derivative of a**7/1400 - a**6/300 + a**5/200 - a**3/3 - 4*a. Let r(m) be the second derivative of c(m). Factor r(l).
3*l*(l - 1)**2/5
Find z such that 0 + 0*z**3 + 3/5*z**2 - 1/5*z**4 - 2/5*z = 0.
-2, 0, 1
Let x(j) be the first derivative of -j**6/18 + j**5/5 - j**4/6 - 13. What is q in x(q) = 0?
0, 1, 2
Suppose y = 3 - 1. Let w(a) be the first derivative of 4/27*a**3 + 0*a - 1/9*a**2 - 1/18*a**4 - y. Let w(t) = 0. What is t?
0, 1
Let g(z) be the first derivative of 3*z**5/25 - 3*z**4/20 - z**3/5 + 3*z**2/10 + 2. Factor g(b).
3*b*(b - 1)**2*(b + 1)/5
Suppose -19 = -13*u + 59. Let p(s) be the first derivative of u*s**3 - 3*s**5 - 3/2*s**6 + 3/2*s**2 - 3*s + 3/2*s**4 - 2. Find d, given that p(d) = 0.
-1, 1/3, 1
Factor 4/3*w**3 + 16/3*w**2 - 44/3*w + 8.
4*(w - 1)**2*(w + 6)/3
Suppose 4*j - 39 - 21 = 0. Suppose 7 = -2*b + j. Factor -z**3 - z**5 - 2*z**4 + z**b - 5*z**4 + 4*z**4.
-z**3*(z + 1)**2
Let t(l) = -8*l**2 + 9*l - 8. Let n(g) = -g**2 + g - 1. Let q(m) = 21*n(m) - 3*t(m). Factor q(u).
3*(u - 1)**2
Let w(h) = -h**3 - h. Let s(g) = -2*g**3 + 2*g - 2. Let t(f) = 5*s(f) - 5*w(f). Factor t(a).
-5*(a - 1)**2*(a + 2)
Let f be (13/((-39)/2))/((-4)/18). Suppose 1/3*x**f - 1/3*x + 0*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let b(m) be the first derivative of -m**3 + 6*m**2 + 29. Factor b(y).
-3*y*(y - 4)
Let k be 19/57 - 7/(-6). Factor -k*a**2 + 0 + 3/2*a.
-3*a*(a - 1)/2
Let w(a) be the second derivative of -a**4/30 - a**3/5 - 2*a**2/5 + a. Factor w(h).
-2*(h + 1)*(h + 2)/5
Let y(c) be the third derivative of c**7/2100 - c**5/300 + c**3/3 - 3*c**2. Let p(a) be the first derivative of y(a). Factor p(n).
2*n*(n - 1)*(n + 1)/5
Factor 2/11*a**5 - 6/11*a**3 + 0 + 2/11*a**4 - 10/11*a**2 - 4/11*a.
2*a*(a - 2)*(a + 1)**3/11
Let h(l) be the third derivative of 1/30*l**5 + 1/3*l**3 + l**2 + 0*l + 0 - 1/6*l**4. Suppose h(n) = 0. Calculate n.
1
Let j be (0 + 2)/(3 - 2). Suppose 6*s**2 + 10*s**j - 6*s**2 + 0*s**2 - 4*s = 0. Calculate s.
0, 2/5
Let u(t) be the third derivative of -t**5/60 - 5*t**4/24 - t**3/3 - t**2. Let p be u(-4). Factor 2/3*y**4 - 2/3*y**5 + 4/3*y**3 + 2/3 - 4/3*y**p - 2/3*y.
-2*(y - 1)**3*(y + 1)**2/3
Let u(q) be the first derivative of q**6/9 - 2*q**5/15 - q**4/2 + 10*q**3/9 - 2*q**2/3 - 4. Suppose u(w) = 0. Calculate w.
-2, 0, 1
Let k(z) be the first derivative of 1/15*z**4 - 4 + 0*z + 0*z**3 + 2/75*z**5 + 0*z**2. Factor k(a).
2*a**3*(a + 2)/15
Let i(o) = 2*o**2 + 25*o + 10. Let f be i(-12). Let m be 21/f*6/(-27). Suppose -l**3 + 0 - 2/3*l + 5/3*l**5 + 7/3*l**2 - m*l**4 = 0. Calculate l.
-1, 0, 2/5, 1
Suppose 2*g - 9 + 1 = 0. Let s(j) be the first derivative of -11*j**2 + 7/3*j**6 - 28/3*j**3 + 32/5*j**5 - g*j + 1 + 2*j**4. Let s(t) = 0. Calculate t.
-1, -2/7, 1
Let y(v) be the first derivative of 8/21*v**3 - 2/7*v - 3/7*v**2 - 1. Suppose y(s) = 0. Calculate s.
-1/4, 1
Let b(w) = -9*w**2 - 15*w - 9. Let c(i) = -1. Let t(d) = b(d) - 3*c(d). Factor t(x).
-3*(x + 1)*(3*x + 2)
Suppose b = 5*y - 3*y - 10, 2*b + 11 = y. Factor -2*f**3 - 4*f**3 + 4*f**3 + f**y + f.
-f*(f - 1)*(f + 1)
Let d(t) = -t**2 + t. Let n(z) = -4*z**2 - 2*z + 8. Let w(a) = -6*d(a) + n(a). Factor w(r).
2*(r - 2)**2
Suppose i + 3*u - 24 = 3*i, 5*u + 4 = -4*i. Let b be 13/10 + 3/i. Factor 8/5*q**2 + b + 2*q + 2/5*q**3.
2*(q + 1)**2*(q + 2)/5
Factor 1/2*g - 1/2*g**2 + 1/3 - 1/3*g**3.
-(g - 1)*(g + 2)*(2*g + 1)/6
Let z = 167/102 + -8/17. Let q(m) be the second derivative of m + 0 + 3/10*m**5 + 1/3*m**6 - m**3 - z*m**4 + 2*m**2. Factor q(g).
2*(g - 1)*(g + 1)**2*(5*g - 2)
Let b be ((-6)/10)/(1/(-5)). Let m(q) = -q - 2. Let g be m(-4). Suppose -2*f**2 - b*f**2 - f + 0*f + 4*f**g = 0. Calculate f.
-1, 0
Let j = 14 + -10. Let r(a) be the second derivative of -3*a - 1/3*a**3 + 0 + 0*a**2 + 1/6*a**j. Suppose r(l) = 0. Calculate l.
0, 1
Suppose 0 = 4*c - 2*a - 4, -2*c + 4*a = -5*c + 14. Factor -1/6*b**4 + 0*b + 2/3*b**3 + 0 - 2/3*b**c.
-b**2*(b - 2)**2/6
What is d in -24 + 5*d + 9*d**3 - 3*d**2 - 3*d**2 - 41*d + 3*d**4 = 0?
-2, -1, 2
Let x(p) be the second derivative of -p**4/6 + p**2 - p. What is s in x(s) = 0?
-1, 1
Factor 14*d**2 + 10 + 35*d + 2*d**2 + 7*d**2 + 2*d**2.
5*(d + 1)*(5*d + 2)
Let k(r) be the second derivative of r**7 - 122*r**6/45 + 17*r**5/10 + 2*r**4/3 - 4*r**3/9 - 10*r. Suppose k(c) = 0. What is c?
-2/7, 0, 2/9, 1
Factor 615*c**2 - 320*c - 139*c**2 + 129*c**3 + 67*c**3 + 48.
4*(c + 3)*(7*c - 2)**2
Let j(m) be the second derivative of -m**6/480 + 2*m**2 - m. Let t(w) be the first derivative of j(w). Factor t(z).
-z**3/4
Let q(f) be the first derivative of 1/3*f**2 + 0*f**3 - 1/18*f**4 - f - 2. Let p(x) be the first derivative of q(x). Let p(v) = 0. What is v?
-1, 1
Suppose -2*w + 2 + 0 = 0. Let n = 1 + w. Determine k so that 