 be p(0). Let f be ((-16)/(-140))/((-2)/r). Factor 2/7*b - f + 4/7*b**2 - 2/7*b**3.
-2*(b - 2)*(b - 1)*(b + 1)/7
Let z = 56 + -56. Let m(h) be the first derivative of 1/9*h**2 + z*h + 2/27*h**3 - 1. Factor m(k).
2*k*(k + 1)/9
What is x in 98/5 + 168/5*x + 2/5*x**4 - 24/5*x**3 + 44/5*x**2 = 0?
-1, 7
Suppose -5*m = -4*m + 56. Let d = 172/3 + m. What is y in d*y + 0 + 2/3*y**2 = 0?
-2, 0
Suppose -4*h + 8 = -f, -2*f - h = 8 - 10. Let k(u) be the third derivative of 0*u**3 + 0*u + 1/90*u**5 + f*u**4 + 1/180*u**6 + 0 + u**2. Factor k(m).
2*m**2*(m + 1)/3
Let z = -5 + -1. Let u = -4 - z. Find n, given that 5*n + 3*n**u - 2*n + n**4 + 3*n**3 - 2*n = 0.
-1, 0
Let n be (-75)/(-9) - 1*-1. Suppose -30 = 5*q - 45. Determine s so that 28/3*s**q - n*s + 49/3*s**4 - 15*s**2 - 4/3 = 0.
-1, -2/7, 1
Let a(q) = 4*q**4 - 3*q**3 + 5*q**2 + 9*q + 5. Let r(j) = -3*j**4 + 3*j**3 - 4*j**2 - 8*j - 4. Suppose -5*t + 5 = 25. Let h(i) = t*a(i) - 5*r(i). Factor h(f).
-f*(f - 1)*(f + 2)**2
What is c in -2/5 - 2/5*c**2 - 4/5*c = 0?
-1
Let j be 3/35 + 3/15. Solve -18/7*r**2 + 12/7*r - j = 0 for r.
1/3
Factor 0*t**2 + 0 + 0*t + 26/3*t**3 + 2/3*t**4.
2*t**3*(t + 13)/3
Factor -16/9*x + 16/9*x**3 - 14/9 + 4/3*x**2 + 2/9*x**4.
2*(x - 1)*(x + 1)**2*(x + 7)/9
Factor 2/3*z**2 + 0 + 1/3*z**4 - z**3 + 0*z.
z**2*(z - 2)*(z - 1)/3
Let b(z) = z**4 + 2*z**3 + 5*z**2 - 4. Let l(f) be the second derivative of -f**4/12 + f**2/2 + 2*f. Let v(k) = b(k) + 4*l(k). Factor v(g).
g**2*(g + 1)**2
Let b(i) = 4*i - 8. Let v be b(-7). Let s = -71/2 - v. Factor 1/4*t**2 + s - 3/4*t.
(t - 2)*(t - 1)/4
Let b(f) be the third derivative of 0 - 1/60*f**4 + 0*f - 2/15*f**3 + 5*f**2 + 1/150*f**5. Solve b(k) = 0 for k.
-1, 2
Let a(r) = r**3 + r + 3. Let p be a(0). Let i be 0 - (-1 - (-1)/p). Solve 0*y + 2/3*y**2 - 2/3*y**3 - 2/3*y**4 + 0 + i*y**5 = 0 for y.
-1, 0, 1
Let a be ((-19365)/140)/(4/16). Let c = 555 + a. Factor c*j**3 + 0*j**2 + 0 + 16/7*j**4 + 6/7*j**5 - 2/7*j.
2*j*(j + 1)**3*(3*j - 1)/7
Let m(z) be the third derivative of -z**7/350 - z**6/100 - 7*z**2. Determine b so that m(b) = 0.
-2, 0
Let c = -1883/5 + 377. Suppose -c + 4/5*m - 2/5*m**2 = 0. What is m?
1
Let f = -205 - -7381/36. Let t(u) be the third derivative of -1/270*u**5 + 3*u**2 + 0 + 0*u - 2/27*u**3 - f*u**4. Let t(k) = 0. Calculate k.
-2, -1
Let -8/7*t**4 + 8/7*t**3 - 4/7*t + 6/7*t**2 - 2/7 = 0. Calculate t.
-1/2, 1
Let t(v) be the third derivative of v**6/480 + v**5/60 - v**4/96 - v**3/6 - 38*v**2. Factor t(n).
(n - 1)*(n + 1)*(n + 4)/4
Suppose -32 + 52 = 10*l. Factor -8/7*r + 6/7*r**l + 2/7.
2*(r - 1)*(3*r - 1)/7
Suppose -5*f + 1 = -4. Let r be 3/2 + f/2. Let 18*s**4 + 0*s**2 + r*s**2 - 2*s**5 - 12*s**3 - 6*s**5 = 0. What is s?
0, 1/4, 1
Let -4/3*c - 1/3*c**2 - 1 = 0. What is c?
-3, -1
Let a(c) be the first derivative of c**5/10 - c**4/6 + 5*c + 2. Let k(t) be the first derivative of a(t). Factor k(w).
2*w**2*(w - 1)
What is i in 3*i**2 - 5*i - 5*i + 4*i = 0?
0, 2
Suppose -4*u = -3*u - 4. Let g(a) be the first derivative of 3/4*a**4 - 3/10*a**5 + 1/2*a**3 - u + 0*a - 3/2*a**2. Factor g(f).
-3*f*(f - 2)*(f - 1)*(f + 1)/2
Let x(a) be the first derivative of 2/45*a**5 + 0*a**4 + 0*a**2 + 0*a**3 - 1 - 1/27*a**6 + 0*a. Factor x(p).
-2*p**4*(p - 1)/9
Solve 3*o**5 - o - 2*o**5 + 2*o + 0*o - 2*o**3 = 0 for o.
-1, 0, 1
Let w(x) be the first derivative of -x**6/12 + x**5/10 + x**4/8 - x**3/6 + 3. Solve w(s) = 0 for s.
-1, 0, 1
Let r(b) = 24*b**2 - 54*b + 40. Let y(h) = -5*h**2 + 11*h - 8. Let a(n) = -6*r(n) - 28*y(n). Factor a(o).
-4*(o - 2)**2
Let s be 2 + -1 - (1 - 2). Factor -3*v**4 - 5 + 5*v**s - 2*v**2 + 5.
-3*v**2*(v - 1)*(v + 1)
Let v(q) be the second derivative of 1/6*q**4 - 1/3*q**3 - 3*q + 1/10*q**5 + 0 - q**2. Factor v(k).
2*(k - 1)*(k + 1)**2
Let z(h) = h**2 + 6*h - 11. Let y(v) = 1. Let r(d) = -y(d) - z(d). Let q be r(-7). Factor 4/5*l**2 - 4/5*l**q - 2/5*l**4 + 2/5*l - 2/5 + 2/5*l**5.
2*(l - 1)**3*(l + 1)**2/5
Let b(a) = a**2 + 10*a + 3. Let s be b(-10). Let g(i) = i**2 + 5*i + 5. Let y be g(-5). Determine j, given that -j + j - 8 - 2*j**2 - s*j - y*j = 0.
-2
Let w(m) = 2*m - 1. Let f be w(2). Factor 5*i**f + 3*i**2 - 13*i**3 - i + 5*i**3 + i**4.
i*(i - 1)**3
Let b = -15 + 25. Let g be ((-4)/5)/((-6)/b). Factor -2/3*s**2 + g*s - 2/3.
-2*(s - 1)**2/3
Let t(c) be the second derivative of 0 - 4*c + 1/9*c**3 - 1/36*c**4 - 1/6*c**2. Suppose t(v) = 0. Calculate v.
1
Let o be ((-69311)/2100)/(-11) + -3. Let x = o + 13439/2100. Suppose -x*w**2 - 14/5*w**3 - 4/5 - 22/5*w = 0. What is w?
-1, -2/7
Suppose 6*j - 12 = 3*j. Suppose 2*b**2 - j*b**4 + b**2 + 2*b**5 + b**2 + 0*b**4 - 2*b = 0. What is b?
-1, 0, 1
Determine o, given that 0 + 0*o + 1/5*o**3 - 1/5*o**5 - 1/5*o**4 + 1/5*o**2 = 0.
-1, 0, 1
Let w(j) be the third derivative of j**7/420 + j**6/90 - j**5/60 - j**4/6 + 2*j**3/3 - 4*j**2. Let d(k) be the first derivative of w(k). Factor d(t).
2*(t - 1)*(t + 1)*(t + 2)
Factor -3/4*i**4 - 3/4*i + 0 + 3/4*i**3 + 3/4*i**2.
-3*i*(i - 1)**2*(i + 1)/4
Let n(t) = t - 4. Let z be n(3). Let v be (z/(4/56))/(-4). Find w, given that 3/4*w**3 + 5*w - v*w**2 - 2 = 0.
2/3, 2
Let w(o) be the third derivative of -1/8*o**4 + 1/60*o**6 + 0*o - 1/6*o**3 + 0 + 3*o**2 - 1/30*o**5 + 1/336*o**8 + 1/70*o**7. What is v in w(v) = 0?
-1, 1
Let i = 108454/4635 + 1/927. Let g = i + -23. Find j such that -g - 2/5*j + 2/5*j**2 + 2/5*j**3 = 0.
-1, 1
Let x(h) be the first derivative of 5*h**4/24 - 2*h**3/3 + 3*h**2/4 - h/3 - 12. Determine c, given that x(c) = 0.
2/5, 1
Let g(b) = -b**3 + b**2 + b + 2. Let i be g(0). Factor -3*h**2 - 14*h**3 + 7*h**i + 8*h + 20*h**2.
-2*h*(h - 2)*(7*h + 2)
Let q = 15 + -51. Let l be 1/q + 2/8. Suppose -2/9*u**4 - l*u**3 + 2/9*u**2 + 2/9*u + 0 = 0. What is u?
-1, 0, 1
Let j(a) = 11*a**3 + 26*a**2 + 21*a + 6. Let c(b) = -23*b**3 - 53*b**2 - 43*b - 13. Let k(w) = 6*c(w) + 13*j(w). Factor k(q).
5*q*(q + 1)*(q + 3)
Let k(i) be the first derivative of -2*i**3/21 + i**2/7 + 4*i/7 + 14. Find u, given that k(u) = 0.
-1, 2
Suppose -5*j + 19 = -11. Suppose 19*i**4 - 4*i**3 + j*i**3 - 14*i**4 = 0. What is i?
-2/5, 0
Let w(a) = -29*a**5 - 69*a**4 + 65*a**3 + 116*a**2 - 96*a + 13. Let i(s) = -s**5 - s**4 + s**3 + 1. Let q(r) = 3*i(r) + w(r). Determine t so that q(t) = 0.
-2, 1/4, 1/2, 1
Find t, given that 0 + 2/21*t**2 - 2/7*t = 0.
0, 3
Let v(x) be the first derivative of -1/5*x + 1/25*x**5 - 1 + 0*x**3 + 1/10*x**4 - 1/5*x**2. Factor v(j).
(j - 1)*(j + 1)**3/5
Let u(w) be the second derivative of 0*w**2 + w + 1/15*w**4 - 1/50*w**5 + 0*w**3 + 0. Suppose u(y) = 0. What is y?
0, 2
Let r(z) = -13*z**3 + 18*z**2 - 12*z + 7. Let f(p) be the first derivative of p**4 - 2*p**3 + 2*p**2 - 2*p - 1. Let b(g) = -7*f(g) - 2*r(g). Factor b(c).
-2*c*(c - 2)*(c - 1)
Let v(w) = -25*w**3 - 48*w**2 - 27*w - 8. Let p(k) = -6*k**3 - 12*k**2 - 7*k - 2. Let a(h) = -9*p(h) + 2*v(h). Factor a(f).
(f + 2)*(2*f + 1)**2
Let a(g) be the first derivative of -3*g**5/50 + g**4/6 - 2*g**3/15 - 3*g + 7. Let v(m) be the first derivative of a(m). Factor v(b).
-2*b*(b - 1)*(3*b - 2)/5
Let h = -83 + 83. Suppose -2/3*w**2 + h - 2/3*w = 0. What is w?
-1, 0
Let g(o) be the second derivative of o**5/60 + o**4/36 - 5*o**3/18 + o**2/2 - 10*o. Let g(c) = 0. Calculate c.
-3, 1
Let r(h) be the first derivative of h**4/30 + h**3/15 - 2*h**2/5 - h - 4. Let j(z) be the first derivative of r(z). Factor j(g).
2*(g - 1)*(g + 2)/5
Let l(h) be the second derivative of h**6/75 + 3*h**5/50 + h**4/15 - 39*h. Factor l(k).
2*k**2*(k + 1)*(k + 2)/5
Let c(d) be the first derivative of -4*d**5/35 + 5*d**4/7 - 4*d**3/3 + 6*d**2/7 - 21. Factor c(z).
-4*z*(z - 3)*(z - 1)**2/7
Let x(g) be the third derivative of -2*g**2 + 1/630*g**7 + 0*g + 5/72*g**4 - 1/360*g**6 - 1/60*g**5 - 1/9*g**3 + 0. Factor x(r).
(r - 1)**3*(r + 2)/3
Let g(i) be the second derivative of i**4/6 + i**3/3 + i. Factor g(v).
2*v*(v + 1)
Factor 3*n**2 + 16*n**4 - n**2 - 18*n**4.
-2*n**2*(n - 1)*(n + 1)
Suppose -1/4*d**2 - 1 + d = 0. What is d?
2
Suppose 5*g = -4*a + 811, 5*a - 316 = 5*g + 709. Let c = 1840/9 - a. Factor -8/9*n**3 - c*n**5 - 10/9*n**4 + 0*n + 0 - 2/9*n**2.
-2*n**2*(n + 1)**2*(2*n + 1)/9
Let d(t) be the third derivative of -t**6/24 - 7*t**5/12 - 35*t**4/12 - 20*t**3/3 - t**2. Solve d(f) = 0 for f.
-4, -2, -1
Let k be (-7)/(-4) + 6/24. Facto