en that 4*y**3 - 2*y**5 - 6*y**p - 2 + 4*y**4 + 2 = 0.
0, 1
Let s be (-34)/(-8)*-1 + 1. Let d = s + 15/4. Factor -1/2*h**3 + 3/4*h**4 - 1/4*h**5 - d*h**2 + 3/4*h - 1/4.
-(h - 1)**4*(h + 1)/4
Let i(l) be the second derivative of l**4/6 + 4*l**3/3 - 5*l**2 + l - 1. Factor i(f).
2*(f - 1)*(f + 5)
Let x(k) be the third derivative of -k**6/540 + k**5/60 - k**4/18 + k**3/6 - k**2. Let y(w) be the first derivative of x(w). Factor y(c).
-2*(c - 2)*(c - 1)/3
Factor 10 + m - 19 - 10*m + 3*m - m**2.
-(m + 3)**2
Let b(r) = -2*r - 20. Let s be b(-10). Factor 2/9*a**3 + s + 2/9*a - 4/9*a**2.
2*a*(a - 1)**2/9
Let n(x) be the third derivative of -x**6/900 - x**5/225 - x**4/180 + 7*x**2. Suppose n(m) = 0. Calculate m.
-1, 0
Let s(q) = 5*q**4 - 11*q**3 + q**2 + 7*q - 4. Let h(a) = 6*a**4 - 12*a**3 + 6*a - 3. Let u = -9 + 12. Let r(x) = u*s(x) - 2*h(x). Suppose r(y) = 0. Calculate y.
-1, 1, 2
Let b(j) be the third derivative of -j**8/504 + j**7/105 - j**6/90 - 4*j**2. Factor b(n).
-2*n**3*(n - 2)*(n - 1)/3
Let x(g) be the third derivative of g**5/510 + g**4/204 + 4*g**2. Let x(u) = 0. What is u?
-1, 0
Factor -4*i**3 + 32/5 + 2/5*i**4 + 66/5*i**2 - 16*i.
2*(i - 4)**2*(i - 1)**2/5
Let j be (0/35)/(1 - (-3)/(-1)). Let u = 592/5 + -118. Determine a, given that -u*a**4 + j*a**2 + 4/5*a**3 + 2/5 - 4/5*a = 0.
-1, 1
Let l(t) = 15*t**2 + 32*t + 32. Let w(v) = -8*v**2 - 16*v - 16. Let h(c) = 4*l(c) + 7*w(c). Let h(g) = 0. Calculate g.
-2
Let y(d) = d**2 - 10*d + 12. Let m be y(9). Suppose -5*n - 5*k = -m*k - 21, 0 = 2*n + 4*k - 18. Solve 0 + 2/3*r**2 - 4/3*r + 2/3*r**n = 0.
-2, 0, 1
Let q(v) = v**2 - 8*v + 13. Let t be q(6). Let l be (-2)/(16/(-12)) - t. Factor -1/2*u + 1/2*u**2 + 0 + 1/2*u**3 - l*u**4.
-u*(u - 1)**2*(u + 1)/2
Let f(p) be the second derivative of p**6/18 - 5*p**4/4 - 10*p**3/9 + 10*p**2 - 12*p. Factor f(n).
5*(n - 3)*(n - 1)*(n + 2)**2/3
Let h be ((360/(-32))/15)/(2/(-4)). Let -39/2*r**3 - 6*r + 0 - h*r**5 - 9*r**4 - 18*r**2 = 0. Calculate r.
-2, -1, 0
Let p = -333/2 - -2335/14. Factor 4/7*v - 2/7 - p*v**2.
-2*(v - 1)**2/7
Let p = -6 + 8. Factor 2*b - b + 0*b**p + 9 - 7*b + b**2.
(b - 3)**2
Factor 0*i**3 + 0 + 8/5*i**4 + 4/5*i - 4/5*i**5 - 8/5*i**2.
-4*i*(i - 1)**3*(i + 1)/5
Let w(m) be the third derivative of m**7/1995 + m**6/228 - m**5/95 - m**2. Find t, given that w(t) = 0.
-6, 0, 1
Let a(z) = z**2 - 4*z + 3. Let b be a(3). Suppose -18 = m + 5*p, 4*p = -m + p - 10. Determine d so that -d**m + 1/2*d**3 + 1/2*d + b = 0.
0, 1
Let l(r) be the second derivative of -r**6/135 - r**5/45 + r**4/54 + 2*r**3/27 - 2*r. Factor l(s).
-2*s*(s - 1)*(s + 1)*(s + 2)/9
Suppose 2*r + 23 - 9 = 5*s, r = 4*s - 13. Let k = r + 3. Let 15*y**4 + 3*y**5 + k*y**5 - 3*y**2 - 4 + 4 + 3*y**3 = 0. Calculate y.
-1, 0, 1/3
Let m(f) be the first derivative of -f**8/1176 + f**7/735 + f**6/420 - f**5/210 - 3*f**2 - 5. Let n(b) be the second derivative of m(b). Factor n(a).
-2*a**2*(a - 1)**2*(a + 1)/7
Factor -6/7*s - 2/7 - 2/7*s**3 - 6/7*s**2.
-2*(s + 1)**3/7
Suppose -3*n + 4*g + 118 = 0, -3*n + g + 128 = 2*g. Let t be (-2)/(-1)*12/n. Factor 2/7 - 2/7*s**4 + 0*s**2 - t*s**3 + 4/7*s.
-2*(s - 1)*(s + 1)**3/7
Suppose 4*t - 23 - 17 = 0. Factor 4*m**2 + 8 - 2*m - 2*m**2 + t*m.
2*(m + 2)**2
Let z = 29 + -20. Suppose -5*s = -2*s - z. Factor -s*l - 2*l**2 + 3*l + 0 + 2.
-2*(l - 1)*(l + 1)
Let k = 76067 + -1139947/15. Let w = -316/5 + k. Factor w*b**3 + 6*b - 4/3 - 2*b**4 - 10*b**2.
-2*(b - 1)**3*(3*b - 2)/3
Factor 23/6*z**2 + 5/2*z**3 + 11/4*z + 1/12*z**5 + 3/4 + 3/4*z**4.
(z + 1)**3*(z + 3)**2/12
Let h(k) = 105*k**3 + 16*k**2 - 16*k + 4. Let i(o) = -315*o**3 - 47*o**2 + 47*o - 11. Let b(j) = -11*h(j) - 4*i(j). Factor b(l).
3*l*(5*l + 2)*(7*l - 2)
Let s(m) be the first derivative of -1/3*m**2 + 6 + 0*m - 1/15*m**5 + 0*m**4 + 1/3*m**3. Let s(o) = 0. What is o?
-2, 0, 1
Let k be (-10 + 11)/(3 + 0). Let j(n) be the third derivative of -2*n**2 + 0 - 1/30*n**5 + k*n**3 + 0*n**4 + 0*n. Solve j(r) = 0.
-1, 1
Let q(g) be the third derivative of g**7/105 + g**6/30 - g**5/30 - g**4/6 - 7*g**2. Solve q(s) = 0.
-2, -1, 0, 1
Let f be (-1 - -3) + -4 + -3. Let m = -1 - f. Let 0*x + 1/3*x**3 + 1/3*x**5 + 0*x**2 + 0 + 2/3*x**m = 0. What is x?
-1, 0
Let s be 4/(-12)*-3 - -1. Suppose 0 = 5*y - i - 5 - 3, -2*y = -i - s. Factor 81/2*u**4 + 18*u**3 + 2*u**y + 0*u + 0.
u**2*(9*u + 2)**2/2
Let s(b) be the second derivative of -b**6/120 - b**5/30 + b**4/8 + b**2 + b. Let i(z) be the first derivative of s(z). Factor i(v).
-v*(v - 1)*(v + 3)
Factor -6*f**3 - 12*f + 2*f**2 - 8*f**3 - 48*f**2.
-2*f*(f + 3)*(7*f + 2)
Let y(a) be the second derivative of 2*a**7/3 + 83*a**6/30 - 33*a**5/20 - 89*a**4/12 + 5*a**3/6 + 3*a**2 + 17*a. Determine u so that y(u) = 0.
-3, -1, -1/4, 2/7, 1
Let j = -5 - -8. Suppose 3*q**3 - q + j*q - 2*q = 0. Calculate q.
0
Let k = -55763/31 - -1799. Let v = 32/155 + k. Find y such that -4/5*y - v*y**2 + 0 = 0.
-2, 0
Let c(f) = -2*f**3 - 4*f**2 - 2*f. Let g be c(-2). Let w = 20 - 17. Find q, given that -1/2*q**w + 1/2*q + 0 + 1/2*q**2 - 1/2*q**g = 0.
-1, 0, 1
Determine a, given that -a + 4 - 494*a**2 - 4*a**5 + 13*a - 8*a**3 + 502*a**2 - 12*a**4 = 0.
-1, 1
Solve 0*w + 6/5*w**2 + 0 - 4/5*w**4 - 2*w**3 = 0 for w.
-3, 0, 1/2
Let k(b) be the second derivative of b**4/42 + b**3/21 - 17*b. Solve k(r) = 0 for r.
-1, 0
Let i be (-448)/(-168) - (-10)/(-4). Suppose -1/6*y**3 + 1/6 - i*y**2 + 1/6*y = 0. What is y?
-1, 1
Let d(n) be the third derivative of n**7/420 - n**6/80 + n**5/40 - n**4/48 + 3*n**2. Factor d(s).
s*(s - 1)**3/2
Let n(q) be the first derivative of 2*q**5/55 - q**4/22 + 4. Factor n(k).
2*k**3*(k - 1)/11
Let i(n) be the third derivative of n**8/672 + n**7/420 - n**6/240 - n**5/120 - 4*n**2. Let i(q) = 0. What is q?
-1, 0, 1
Let k = 64 - 64. Suppose -4*a + 20 = 2*j - 0*a, -4*j - 25 = -5*a. Find l such that j - 2/5*l**3 + k*l + 4/5*l**2 = 0.
0, 2
What is d in 12/5*d + 4/5*d**2 + 8/5 = 0?
-2, -1
Let q(t) be the second derivative of t**6/15 + 3*t**5/5 + 13*t**4/6 + 4*t**3 + 4*t**2 - 3*t. Determine a so that q(a) = 0.
-2, -1
Let w(s) = -s + 11. Let j be w(8). Suppose j*o - 8 = 1. Determine k, given that -k**4 + o*k**4 + 8*k**2 - k**4 + 3*k**4 - 2*k - 10*k**3 = 0.
0, 1/2, 1
Factor 0*i - 1/4*i**5 + 0 + 0*i**2 + 1/2*i**3 + 1/4*i**4.
-i**3*(i - 2)*(i + 1)/4
Let g(s) be the third derivative of s**11/199584 + s**10/64800 + s**9/90720 - s**5/60 - 3*s**2. Let c(d) be the third derivative of g(d). Factor c(t).
t**3*(t + 1)*(5*t + 2)/3
Let z = 44 - 43. Factor 2*t**2 - 5/2*t - 1/2*t**3 + z.
-(t - 2)*(t - 1)**2/2
Suppose -16/7*d - 4/7*d**4 - 16/7 + 8/7*d**3 + 12/7*d**2 = 0. Calculate d.
-1, 2
Let z be 3*-1 - 3184/24. Let u = z + 137. Factor 4/3*i - 1/3 + u*i**3 - 2*i**2 - 1/3*i**4.
-(i - 1)**4/3
Let x be 110/(-8) + (-10)/(-20). Let s = 167/12 + x. Find r such that 0 - s*r**3 - 2/3*r + 4/3*r**2 = 0.
0, 1
Let n = 25 + -10. Suppose 0 = 2*p - n - 33. Factor f**3 - 18*f + 3*f**3 + 4*f**3 + 10*f**5 + 4 - p*f**4 + 20*f**2.
2*(f - 1)**3*(f + 1)*(5*f - 2)
Suppose -3*n - 4 = -5*n. Suppose 2*d - d**2 - 3 + 2 - n - 6*d = 0. Calculate d.
-3, -1
Let w = 5 - 4. Suppose 2*x + w + 2 = 3*p, 3*x = 2*p + 3. Solve 5*j**4 - j**2 - 4*j - p*j**4 - 5*j**2 = 0.
-1, 0, 2
Let x be ((-8)/10)/((-2)/5). Suppose 4*n - 11 = -o, o - x*n = -0 - 1. Find a, given that -4*a**2 + 4*a**2 + a**o = 0.
0
Determine t so that -10/3*t - 2/3*t**2 - 4 = 0.
-3, -2
Let g(x) be the second derivative of -1/50*x**5 + 4*x - 1/5*x**2 - 1/5*x**3 - 1/10*x**4 + 0. Let g(n) = 0. Calculate n.
-1
Let v(o) be the first derivative of -o**5/150 + o**4/30 - o**3/15 + 5*o**2/2 + 2. Let b(g) be the second derivative of v(g). Factor b(j).
-2*(j - 1)**2/5
Factor -2/3 - 8/9*y - 2/9*y**2.
-2*(y + 1)*(y + 3)/9
Let m(w) = w**2 + w - 9. Let t be m(-4). Let q be ((-11)/(-3) + -3)*t. Factor 4/5 - 6/5*d**3 - 14/5*d + 16/5*d**q.
-2*(d - 1)**2*(3*d - 2)/5
Let j(d) be the third derivative of -1/60*d**4 + 0 + 0*d + 1/150*d**5 + 0*d**3 - 2*d**2. Factor j(k).
2*k*(k - 1)/5
Let y(j) be the third derivative of 1/180*j**5 + 1/360*j**6 - 2*j**2 - 1/18*j**3 + 0 + 0*j - 1/72*j**4. What is u in y(u) = 0?
-1, 1
Factor 0*q**2 + 0*q**4 - 4/5*q**3 + 4/5*q**5 + 0 + 0*q.
4*q**3*(q - 1)*(q + 1)/5
Suppose 0 = -5*w + 10. Suppose -4*s = 5*f + 12, -f - w*f - 8 = 2*s. Find i, given that 0 - 1/2*i**s + i = 0.
0,