et n(l) = 25*l**3 - 89*l**2 + 77*l - 16. Let t(c) = -76*c**3 + 268*c**2 - 232*c + 48. Let g(z) = -8*n(z) - 3*t(z). Factor g(q).
4*(q - 2)*(q - 1)*(7*q - 2)
Factor 0*t**3 - 1/2 - 1/2*t**4 + t**2 + 0*t.
-(t - 1)**2*(t + 1)**2/2
Let n(m) be the first derivative of -14*m**6/3 - 48*m**5/5 - 3*m**4 + 8*m**3/3 - 4. Find p such that n(p) = 0.
-1, 0, 2/7
Let b(q) = -2*q**2 - 11*q - 9. Let i be b(-4). Suppose -4*d = d - 40. Factor -9*t + 7*t - 3*t**i - 2*t + 12*t**2 - d*t.
-3*t*(t - 2)**2
Let t(a) be the second derivative of -1/2*a**5 - 5/6*a**3 - 3*a + 1/6*a**6 + 1/2*a**2 + 5/6*a**4 - 1/42*a**7 + 0. Determine z so that t(z) = 0.
1
Let a be -4 + (-6)/(-1) - 2. Let h(w) be the second derivative of 0*w**3 - w + 1/40*w**5 + 0 - 1/84*w**7 - 1/60*w**6 + a*w**2 + 1/24*w**4. Factor h(f).
-f**2*(f - 1)*(f + 1)**2/2
Let t = 1 - 1. Let x(p) be the first derivative of t*p + 10*p**3 - p**2 - 5*p + 2*p + 2 - p. Let x(l) = 0. Calculate l.
-1/3, 2/5
Let u be 0 - (2 - 4)*3. Suppose -2*d - 5*y + 0*y - 16 = 0, -y = -d + u. Factor 0*g + 2/5*g**d - 2/5*g**3 + 0.
-2*g**2*(g - 1)/5
Suppose -w + 13 = 4*q, 0 = -3*q + 2*q + 3*w. Suppose -5*j + 4 = -q*j. Factor 4*d**3 - 2*d**4 + 11*d - j*d**2 - 11*d.
-2*d**2*(d - 1)**2
Factor -3*z + 2*z + 3*z**2 - 2*z**2.
z*(z - 1)
Let x(v) be the third derivative of -9*v**2 - 2/15*v**6 + 0*v + 8/3*v**3 - 2/105*v**7 + 0 + 2/3*v**4 - 1/5*v**5. Factor x(m).
-4*(m - 1)*(m + 1)*(m + 2)**2
Let h(z) be the third derivative of -3*z**2 + 0 + 0*z**6 + 2/105*z**7 + 0*z**5 + 0*z**4 + 0*z**3 + 0*z + 5/168*z**8. Solve h(s) = 0.
-2/5, 0
Let z be (-65)/360 - 2*(-3)/27. Let l(a) be the second derivative of a - 1/5*a**5 + 0 + 0*a**2 - 1/6*a**4 - z*a**3. Factor l(y).
-y*(4*y + 1)**2/4
Let b be -1*2/8*0. Solve -3*y**2 + 3/2*y**4 + 0*y + 3/2 + b*y**3 = 0 for y.
-1, 1
Let p(i) = i - 2. Let t be p(3). Let n be 1 + 1/t + 1. Solve -1/2*j**2 + 0 + 1/4*j**n + 0*j = 0 for j.
0, 2
Let k(v) be the first derivative of -1/3*v**6 - 4/3*v**3 + v**4 - 2 + 2/5*v**5 + 2*v - v**2. Determine w so that k(w) = 0.
-1, 1
Let n(t) be the second derivative of -t**5/40 + t**4/6 - t**3/3 - 31*t. Factor n(y).
-y*(y - 2)**2/2
Suppose -5*w = -0*w - 10. Factor 3 + 3 - 3 + 2*m - 1 - 2*m**2 - w*m**3.
-2*(m - 1)*(m + 1)**2
Let j(q) = -7*q**5 - 13*q**4 + 5*q**3 + 5*q**2 + 2*q. Suppose 4*a + 20 = 4. Let l(f) = f**4 + f**2. Let n(d) = a*l(d) - j(d). Factor n(u).
u*(u - 1)*(u + 1)**2*(7*u + 2)
Suppose 5*d = 2*q + 7, -1 = 5*q - 2*d + 6. Let z(w) = -3*w - 1. Let k be z(q). Factor -4/7*o**2 + 4/7 + 2*o**3 - k*o.
2*(o - 1)*(o + 1)*(7*o - 2)/7
Suppose 9*v - 5*v = -4*v. Let i(r) be the second derivative of -3*r + v*r**2 - 1/10*r**5 + 1/6*r**4 + 2/3*r**3 + 0. Find g, given that i(g) = 0.
-1, 0, 2
Find r, given that 6*r**5 + 4*r**2 + 9 + 6*r - 11 - 2*r**4 - 10*r**3 - 2*r**3 = 0.
-1, 1/3, 1
Let d(r) be the third derivative of r**7/2940 - r**6/315 + r**5/105 - 2*r**3/3 + 5*r**2. Let y(p) be the first derivative of d(p). Determine b so that y(b) = 0.
0, 2
Factor -141*z + 264*z + 5*z**2 - 138*z + 10.
5*(z - 2)*(z - 1)
Let b(g) be the third derivative of g**5/270 - g**3/27 + 2*g**2. Solve b(l) = 0.
-1, 1
Let j be -14 + 0*(-2)/6. Let t be 158/j + 4/14. Let g(a) = a**2 + 1. Let l(z) = 6*z**2 + z + 6. Let w(x) = t*g(x) + 2*l(x). Solve w(u) = 0 for u.
-1
Let j(b) be the second derivative of -1/2*b**4 - 1/10*b**5 - b**2 + 3*b + 0 - b**3. Factor j(z).
-2*(z + 1)**3
Let k be (9/6)/(15/40). Let q(z) be the first derivative of -1 + 1/2*z + 5/3*z**3 + 1/2*z**5 - 1/12*z**6 - 5/4*z**2 - 5/4*z**k. Factor q(j).
-(j - 1)**5/2
Factor 2/3*o**2 + 2/3*o**3 - 2/3 - 2/3*o.
2*(o - 1)*(o + 1)**2/3
Suppose 24 = 2*z + z + 3*b, -2*b + 12 = z. Let c be (-1)/z - (-369)/324. What is r in -c*r**2 - 40/9*r**3 + 0*r - 14/9*r**5 + 0 - 46/9*r**4 = 0?
-2, -1, -2/7, 0
Let t(x) be the first derivative of x**6/15 - 4*x**5/25 + 4*x**3/15 - x**2/5 + 4. Suppose t(u) = 0. Calculate u.
-1, 0, 1
Determine a, given that 1/3*a**2 - 1/12 + 1/4*a = 0.
-1, 1/4
Suppose 44/7*o**2 - 4/7*o**5 + 24/7*o + 0 - 12/7*o**4 + 12/7*o**3 = 0. What is o?
-3, -1, 0, 2
Suppose -47*q**3 - 2*q**2 - 2*q**2 + 46*q**3 - 4*q = 0. Calculate q.
-2, 0
Suppose 2*j = 5*j - 36. Solve 6*n + j*n + 27 + n**2 + 2*n**2 + 0 = 0.
-3
Suppose -2 = 2*a - 3*a. What is j in 1/3*j**3 - 1/3*j + 0 + 0*j**a = 0?
-1, 0, 1
Let i = -2 - -3. Let h(l) = l**2 + 2*l - 1. Let k be h(i). Factor 0*q + 1/3*q**k - 1/3.
(q - 1)*(q + 1)/3
Let j(q) be the second derivative of q**6/80 + 9*q**5/160 + q**4/32 - 3*q**3/16 - 3*q**2/8 + 61*q. Find l, given that j(l) = 0.
-2, -1, 1
Let l(p) = 3*p. Let w be l(0). Let z(r) be the third derivative of 0*r**5 + w*r + 1/120*r**6 + 1/3*r**3 - 2*r**2 - 1/8*r**4 + 0. Suppose z(f) = 0. Calculate f.
-2, 1
Let v(a) be the third derivative of -a**5/60 + a**4/3 - 8*a**3/3 - 8*a**2. Factor v(c).
-(c - 4)**2
Let m = 3 - 1. Let n(l) be the second derivative of 1/3*l**3 + 0 - 1/9*l**4 + l - 1/63*l**7 - 1/3*l**m - 1/15*l**5 + 1/15*l**6. Factor n(b).
-2*(b - 1)**4*(b + 1)/3
Let i(a) = 5*a**5 + 2*a**4 - 7*a**3. Let x(c) = -c**5 + c**3 - c**2 + c. Let h(w) = -i(w) - 4*x(w). Factor h(g).
-g*(g - 1)**2*(g + 2)**2
Let m(y) = -y**2 - y - 1. Let q(u) be the third derivative of -u**5/15 - u**4/24 - u**3/2 + 5*u**2. Let v(k) = -6*m(k) + 2*q(k). Factor v(h).
-2*h*(h - 2)
Let n(b) = -11*b**4 - b**3 - 5*b + 5. Let l(o) = 5*o**4 + o**3 + 2*o - 2. Let h(p) = 5*l(p) + 2*n(p). Factor h(u).
3*u**3*(u + 1)
Let f = 23/33 - 4/11. Determine o so that 0*o - 1/3*o**2 + f = 0.
-1, 1
Let n(d) = 10*d**2 - 12*d - 12. Let f(h) = 10*h**2 - 13*h - 11. Let q(g) = -4*f(g) + 3*n(g). Factor q(r).
-2*(r - 2)*(5*r + 2)
Let u = 166/59675 - -1/341. Let q(k) be the third derivative of 1/150*k**6 + 0 + 0*k**4 + 2*k**2 - u*k**7 + 0*k + 1/150*k**5 + 0*k**3. Factor q(n).
-2*n**2*(n - 1)*(3*n + 1)/5
Factor -4*d**2 - 6*d + 3*d**2 - d**2 - 4.
-2*(d + 1)*(d + 2)
Suppose -2*h + j = -4*h + 10, h - 6 = -j. Suppose -4*l + 20 = -0*l - 4*x, h*x + 16 = 2*l. Solve 9*n**2 - 3*n**5 + n**5 - 9*n**l + 2*n**3 = 0.
-1, 0, 1
Let m(c) = 7*c**3 - 20*c**2 + 32*c - 13. Let r(z) = 8*z**3 - 20*z**2 + 32*z - 12. Let p(s) = -4*m(s) + 3*r(s). Determine j so that p(j) = 0.
1, 2
Suppose w - 4*w + 19 = d, -1 = -w + d. Suppose 0 = 5*l - 4 - 6. Find p, given that -2*p**l - 4*p**5 + 4*p**5 + 2*p**4 - p**w + p = 0.
-1, 0, 1
Let k(y) be the first derivative of -2/3*y**3 + 5 + 0*y - 2/5*y**5 - y**4 + 0*y**2. What is n in k(n) = 0?
-1, 0
Let d(z) = 3*z**4 + 17*z**3 + 21*z**2 + 11*z. Let b(f) = 9*f**4 + 52*f**3 + 63*f**2 + 34*f. Let y(m) = -2*b(m) + 7*d(m). Find p such that y(p) = 0.
-3, -1, 0
Let i(n) be the second derivative of n**6/120 + n**5/40 - n**4/16 - 11*n. Factor i(o).
o**2*(o - 1)*(o + 3)/4
Factor 6*w - 44*w**2 + 20*w**4 + 13*w + 5*w - 48*w**3.
4*w*(w - 3)*(w + 1)*(5*w - 2)
Let d(v) be the first derivative of 0*v**2 + 3/2*v**4 + v**3 + 3/5*v**5 - 1 + 0*v. Factor d(k).
3*k**2*(k + 1)**2
Let y(r) be the first derivative of -r + 1/12*r**3 - 4 + 0*r**2. Find h such that y(h) = 0.
-2, 2
Let i(t) = 7*t**5 + t**4 + 37*t**3 + 35*t**2. Let r(c) = -3*c**5 - 18*c**3 - 18*c**2. Let a(q) = -6*i(q) - 13*r(q). Factor a(k).
-3*k**2*(k - 2)*(k + 2)**2
Factor 16/5 + 1/5*v**2 - 8/5*v.
(v - 4)**2/5
Solve 5*g**5 - 8*g**3 + 5*g**2 - 3*g**3 - 5*g**4 + 6*g**3 = 0.
-1, 0, 1
Let h = 19116/15037 + 2/1367. Let b = h + -31/33. Suppose 0*c**2 + b*c + 0 - 1/3*c**3 = 0. Calculate c.
-1, 0, 1
Suppose k + 9 - 1 = -5*c, 5*k = -2*c + 6. Let b(z) = -z**3 - 2*z**2 - 2*z - 2. Let t be b(c). Let 1/5*h**t + 0 - 1/5*h**4 + 0*h**3 + 0*h = 0. What is h?
-1, 0, 1
Let n(s) = -5*s**5 + s**4 + 9*s**3 - 3*s**2 - 5*s + 2. Let b(f) = f**5 - f**3 + f**2 + f - 1. Let x = -1 - -3. Let q(u) = x*n(u) + 2*b(u). Solve q(v) = 0 for v.
-1, 1/4, 1
Let i(c) be the first derivative of 2 - 3/5*c + 3/5*c**2 - 1/5*c**3. Factor i(k).
-3*(k - 1)**2/5
Suppose 5*s + 30 + 25 = 0. Let c = s - -11. Factor 0*i**2 + c*i - i**4 + 1/3*i**3 + 0.
-i**3*(3*i - 1)/3
Let g(r) be the third derivative of r**6/280 - r**5/70 + r**4/56 - 5*r**2. Suppose g(i) = 0. Calculate i.
0, 1
Let y = -12 + 14. Suppose 3/2*m**3 - 3*m**y + 0 + 0*m = 0. Calculate m.
0, 2
Let h(i) be the first derivative of i**5/15 + i**4/36 - i**3/9 - i**2/18 + 5. Factor h(u).
u*(u - 1)*(u + 1)*(3*u + 1)/9
Let y be 2/12*1/5. Let v(a) be the second derivative of -y*a**5 + 1/54*a