*j - 2/3*j**2 - 1/3*j**4 + 1 + 2*j**3 = 0.
-3, -1, 1
Let m be -2 + (1 - -1) + (-10)/(-5). Suppose -1/2*a**m + 0 - a = 0. Calculate a.
-2, 0
Let r be ((-44)/(-14) + -3)*(-3 + 12). Factor -3/7*a + 0 + 9/7*a**2 + 3/7*a**4 - r*a**3.
3*a*(a - 1)**3/7
Let n(l) be the third derivative of l**5/4 + l**4/8 - 6*l**2. Find v, given that n(v) = 0.
-1/5, 0
Let j = 2 + -6. Let q = -1 - j. Factor k**4 - 5*k**3 + 3*k**q + k**5 - 2*k**2 + k + 1 + 0*k**4.
(k - 1)**2*(k + 1)**3
Let q(r) be the second derivative of -r**7/2520 - r**6/720 + r**5/60 - r**4/4 + 3*r. Let z(m) be the third derivative of q(m). Solve z(t) = 0.
-2, 1
Let f = 5 - 8. Let x = f + 3. Let 2/9*y + x - 2/9*y**2 + 2/9*y**4 - 2/9*y**3 = 0. Calculate y.
-1, 0, 1
Let g = 6 - 0. Let f be 16/g + (-2)/3. Factor -4*x**5 + x**5 - x**4 - f*x**4 - 3*x**4.
-3*x**4*(x + 2)
Let x(b) be the second derivative of -b**7/126 - b**6/18 - b**5/10 + b**4/18 + 7*b**3/18 + b**2/2 + 8*b. Factor x(y).
-(y - 1)*(y + 1)**3*(y + 3)/3
Factor 4/7*u + 2/7*u**4 + 0*u**2 - 2/7 - 4/7*u**3.
2*(u - 1)**3*(u + 1)/7
Let i = 62/3 + -20. Factor -i*y + 0 + 1/3*y**2.
y*(y - 2)/3
Let p(u) = 5*u + u - 8*u. Let z(v) = v**2 + 1. Let q(r) = -p(r) + z(r). Let q(s) = 0. Calculate s.
-1
Let u(c) = -c**2 - c + 1. Let f be (2/3)/((-5)/(-90)). Let j(i) = -2*i**3 + 16*i**2 + 10*i - 12. Let d(q) = f*u(q) + j(q). Determine k so that d(k) = 0.
0, 1
Let s = 26/33 + -5/11. Factor 2/3*j**3 - s*j**4 - 1/3*j**2 + 0 + 0*j.
-j**2*(j - 1)**2/3
Let x(n) be the first derivative of 4 - 1/2*n**2 + 0*n - 1/2*n**3 - 1/8*n**4. Factor x(y).
-y*(y + 1)*(y + 2)/2
Let s(d) be the second derivative of d**4/6 - d**2 + d. Factor s(b).
2*(b - 1)*(b + 1)
Let z(j) be the third derivative of -15*j**8/112 + j**7/14 + 13*j**6/12 - 7*j**5/3 + 5*j**4/3 + 15*j**2. Suppose z(c) = 0. Calculate c.
-2, 0, 2/3, 1
Find f, given that -6*f**4 - 2*f**2 + 6*f**5 + 10*f**5 - 14*f**5 + 6*f**3 = 0.
0, 1
Let f be ((-6)/(-8))/(2/8). Let y = f - 1. Factor q**4 - 4*q**5 + q**5 + y*q**5 - q**2 - 4 - 8*q + 5*q**3.
-(q - 2)**2*(q + 1)**3
Suppose -3 = -4*t - 7. Let f(b) = 2*b**2 - 2*b + 6. Let q(y) = -y + 1. Let g(r) = t*f(r) + 6*q(r). Factor g(d).
-2*d*(d + 2)
Let l(x) be the second derivative of x**5/180 + 5*x**4/108 + x**3/18 - x**2/2 - 5*x. Determine d so that l(d) = 0.
-3, 1
Let y(u) be the first derivative of -2*u**3/3 - u**2 - 10. Solve y(d) = 0 for d.
-1, 0
Let w(t) be the first derivative of -t**5/5 + 9*t**4/16 - t**3/2 + t**2/8 - 4. Factor w(y).
-y*(y - 1)**2*(4*y - 1)/4
Let m(c) be the first derivative of 2*c**3/3 + c**2 - 2*c + 5. Let l be m(-2). Find y, given that 0 - 2/7*y**4 + 2/7*y**5 - 2/7*y**3 + 0*y + 2/7*y**l = 0.
-1, 0, 1
Let t(f) be the second derivative of -1/2*f**3 + 1/8*f**4 + 3/4*f**2 + 0 + 6*f. Factor t(m).
3*(m - 1)**2/2
Let g = -2 + 2. Suppose -s = -4*q - 8 - g, 8 = -s - 4*q. Factor 2/5*h**5 + 0 - 4/5*h**2 - 2/5*h + s*h**3 + 4/5*h**4.
2*h*(h - 1)*(h + 1)**3/5
Let k(f) = 18*f**4 + 21*f**3. Let s(q) = -q**4 - q**2. Suppose 3*c = -4*v + 16, 2*v - 2*c + 4*c = 10. Let z(g) = v*k(g) + 6*s(g). Factor z(d).
3*d**2*(d + 2)*(4*d - 1)
What is i in 0 + 0*i**2 + 2/15*i - 2/15*i**3 = 0?
-1, 0, 1
Let f = -706 + 706. Factor 0*r + f + 5/3*r**4 + 0*r**2 - 5/3*r**3.
5*r**3*(r - 1)/3
Find a, given that 5*a + 4*a**5 - 172*a**4 + 176*a**4 - 5*a = 0.
-1, 0
Let u(m) = -3*m**3 - 24*m**2 - 24*m - 8. Let y(x) = -20*x**3 - 156*x**2 - 156*x - 52. Let p(o) = 32*u(o) - 5*y(o). Let p(v) = 0. Calculate v.
-1
Suppose 2*l - 1 = -5. Let v be (-1 - l)/(1/5). Suppose 2 + k**5 - 6*k**4 - 6*k - k**2 + v*k**2 + 4*k**3 + k**5 = 0. What is k?
-1, 1
Let d be (16/8)/(1 - -7). Factor 0 + d*t**2 + 0*t - 1/4*t**3.
-t**2*(t - 1)/4
Let h be -3 - -2 - 5/(-1). Factor 1 + 6*l**2 - 6*l**h + 7*l**4 - 3*l - 4*l**3 + 0*l**3 - l.
(l - 1)**4
Let u = -56 - -169/3. Factor 0 + 0*l**2 + 1/3*l**4 + u*l**3 + 0*l.
l**3*(l + 1)/3
Let c(i) be the second derivative of -1/2*i**2 - 1/15*i**3 + 1/30*i**4 - 1/150*i**5 - 2*i + 0. Let b(w) be the first derivative of c(w). Factor b(h).
-2*(h - 1)**2/5
Suppose -3*o - 5*i + 19 = 0, -4*o + i + 3*i + 4 = 0. Let d be 1/5*(9 + o). Suppose 24/5*b - 16/5 - d*b**2 + 2/5*b**3 = 0. Calculate b.
2
Let x(f) = 7*f**3 + 11*f**2 + f + 7. Let u(y) = -6*y**3 - 10*y**2 - 2*y - 6. Suppose 4*t + 5 = 5*t. Let a(v) = t*u(v) + 4*x(v). Factor a(p).
-2*(p + 1)**3
Let w(t) be the first derivative of t**4/10 + 4*t**3/15 - 3*t**2/5 + 1. Suppose w(i) = 0. Calculate i.
-3, 0, 1
Let z(o) = -o**3 - 21*o**2 - 19*o + 15. Let n be z(-20). Let s(c) = c + 7. Let x be s(n). Factor 2/5*k + 2/5*k**4 - 4/5*k**x + 2/5*k**5 - 4/5*k**3 + 2/5.
2*(k - 1)**2*(k + 1)**3/5
Let w be (-4)/(56/10) - -1. Let g = -34/45 + 1138/315. Let -w - 20/7*v**2 + g*v**3 + 2/7*v**5 + 10/7*v - 10/7*v**4 = 0. What is v?
1
Let n(p) be the second derivative of -p**6/10 + p**4/4 + p. Factor n(c).
-3*c**2*(c - 1)*(c + 1)
Let b = -915/4 - -229. Factor -1/2 - 1/4*g + b*g**2.
(g - 2)*(g + 1)/4
Let k = -2014/9 + 224. Let a(j) be the second derivative of k*j**3 + 0 + 1/18*j**4 - 4*j + 1/3*j**2. What is u in a(u) = 0?
-1
Let y = -26 + 26. Factor 1/2*l**2 - l + y.
l*(l - 2)/2
Factor 1/3 + 2/3*t**2 + 3/2*t.
(t + 2)*(4*t + 1)/6
Let v = 15 + -15. Let k(x) be the second derivative of -1/30*x**5 - x + v*x**2 - 1/9*x**3 + 1/9*x**4 + 0. Suppose k(t) = 0. What is t?
0, 1
Let u(y) be the second derivative of 1/70*y**7 + 0*y**4 - 1/24*y**6 + 0*y**3 + y**2 + y + 0 + 1/30*y**5. Let b(j) be the first derivative of u(j). Factor b(h).
h**2*(h - 1)*(3*h - 2)
Let m(x) be the first derivative of 0*x + 0*x**5 + 1/3*x**6 - 1/2*x**4 + 0*x**3 + 0*x**2 + 2. Determine a so that m(a) = 0.
-1, 0, 1
Suppose -27 - 13 = -5*g - 3*x, 2*g = -2*x + 16. Let 57*r**3 - 17*r**5 + g*r**2 + 4*r**2 - 28*r**5 - 12*r - 12*r**4 = 0. What is r?
-1, -2/3, 0, 2/5, 1
Let o(y) = y**3 + 3*y**2 - 2. Let g be o(-2). Suppose -g*a = 2*a - 16. Factor -3*d**2 - 1 - d**4 + a*d**3 + 4*d + d**2 - 4*d**2.
-(d - 1)**4
Let k(j) be the third derivative of j**8/28 - 8*j**7/105 - j**6/30 + 2*j**5/15 - 23*j**2 - 2*j. Factor k(z).
4*z**2*(z - 1)**2*(3*z + 2)
Solve -2/5*f**5 + 0*f**4 + 0 + 0*f + 2/5*f**3 + 0*f**2 = 0.
-1, 0, 1
Let g = 5289/275 - 49/25. What is f in 24/11 + g*f**2 - 50/11*f**3 - 128/11*f = 0?
2/5, 3
Factor 35 + m**2 - 5*m + 4*m - 37.
(m - 2)*(m + 1)
Let t(u) = u**3 + 10*u**2 - 10*u + 13. Let f be t(-11). Suppose -2*p + 12 = 5*d, -f*p - 6 = -4*d - 0. Factor 2*v**d - v**2 + 3*v - 2*v + 3 - 5.
(v - 1)*(v + 2)
Factor 0*n + 0 - 2/7*n**4 - 2/7*n**3 + 0*n**2.
-2*n**3*(n + 1)/7
Find d, given that d**2 + 0*d - 1/2*d**4 + 0*d**3 - 1/2 = 0.
-1, 1
Factor 3/2*u**2 - 18*u + 54.
3*(u - 6)**2/2
Let z(m) be the second derivative of m**8/26880 - m**6/2880 + m**4/12 - 2*m. Let p(f) be the third derivative of z(f). Find x such that p(x) = 0.
-1, 0, 1
Let p(g) be the first derivative of 0*g**3 + 9/2*g**4 - 4*g**2 + 6 - g**6 + 4/5*g**5 + 0*g. Find o such that p(o) = 0.
-1, 0, 2/3, 2
Let s(o) = -o**2 - 2. Let j be s(-3). Let v(u) = -17*u**3 - 35*u**2 - 35*u. Let g(x) = -6*x**3 - 12*x**2 - 12*x. Let q(r) = j*g(r) + 4*v(r). Factor q(l).
-2*l*(l + 2)**2
Let u(h) be the first derivative of h**4/12 - h**3/3 - 2*h**2/3 + 30. Factor u(p).
p*(p - 4)*(p + 1)/3
Let i(w) be the first derivative of -w**4/6 + 4*w**3/9 + w**2/3 - 4*w/3 - 6. Find k, given that i(k) = 0.
-1, 1, 2
Let t(x) be the second derivative of -x**6/30 + 9*x**5/20 - 5*x**4/4 - 25*x**3/6 - x. Suppose t(p) = 0. Calculate p.
-1, 0, 5
Let d(n) be the first derivative of n**5 + 15*n**4/2 + 20*n**3 + 25*n**2 + 15*n + 1. Factor d(q).
5*(q + 1)**3*(q + 3)
Let i(h) be the second derivative of -h**6/40 - 3*h**5/40 - h**4/16 - 5*h. What is v in i(v) = 0?
-1, 0
Let w(o) = o**3 - o + 1. Let j(c) = 6*c**4 - 6*c**3 - 6*c**2 + 6*c - 3. Let t(r) = 2*r**3 - r**2 + r + 1. Let l be t(-1). Let q(f) = l*w(f) - j(f). Factor q(m).
-3*m*(m - 1)*(m + 1)*(2*m - 1)
Suppose -3*y + 13 = 4. Let r(o) be the second derivative of 0*o**2 - 3/10*o**4 + 2/15*o**y + 0 - o. Factor r(i).
-2*i*(9*i - 2)/5
Suppose -18 - 7 = -5*q. Suppose -12 - 3 = -q*j. Suppose 14*f**3 - 8*f**2 - 4*f - f**3 + 8*f**j + 0*f = 0. Calculate f.
-2/7, 0, 2/3
Let q(h) = 3*h + 4. Let a(z) = -7*z - 7. Let d(x) = 4*a(x) + 9*q(x). Let v be d(6). Factor 4*t**3 + 5*t**2 + 2*t**3 + 2*t**4 + t**v + 2*t.
2*t*(t + 1)**3
Let n(z) be the first derivative of 4*z**5/5 