**4 + 7*j**4 - 25*j**5 - 22*j**4 - 10*j**2 = 0 for j.
-1, 0, 2/5, 1
Suppose 4*v = 3*s - 8 - 8, -s = -3*v - 7. Suppose -s*k = k - 25. Factor 0*r**3 - 2*r - 2*r - r**3 + k*r.
-r*(r - 1)*(r + 1)
Find c such that -3*c**3 + 3*c - 3/2 + 0*c**2 + 3/2*c**4 = 0.
-1, 1
Let -129*y**2 + 125*y**2 + 7*y - 64 + 10*y + 208 + 19*y = 0. What is y?
-3, 12
Let i(t) be the first derivative of -t**6/90 - t**5/15 - t**4/9 - 11*t**2/2 - 8. Let k(b) be the second derivative of i(b). Factor k(f).
-4*f*(f + 1)*(f + 2)/3
Let j(c) be the first derivative of -c**8/80 + 9*c**7/280 - c**6/60 + 17*c**3/3 + 1. Let r(p) be the third derivative of j(p). Let r(i) = 0. Calculate i.
0, 2/7, 1
Let f(l) be the third derivative of l**5/90 - 5*l**4/108 + 2*l**3/27 + 2*l**2 - 43. Solve f(v) = 0 for v.
2/3, 1
Let t(m) = -7*m**2 - 2*m - 2. Let v(d) = 55*d + 41 - 11 + 190*d**2 + 25. Let s(u) = -55*t(u) - 2*v(u). Factor s(h).
5*h**2
Factor 208*c + 28*c**3 - 18*c**3 + 109*c**2 + 150 + 25*c**3 + 111*c**2 + 127*c.
5*(c + 1)**2*(7*c + 30)
Let y = 4 - 4. Let t(w) = -w + 35. Let u be t(31). Factor 2/3*r**5 + 0*r + 2/3*r**2 + y + 2*r**u + 2*r**3.
2*r**2*(r + 1)**3/3
Suppose 8*g - 44 + 4*g**2 - 23 + 35 = 0. What is g?
-4, 2
Let p(u) be the third derivative of 2*u**7/105 - 36*u**6/5 - 218*u**5/15 + 36*u**4 + 434*u**3/3 + u**2 + 31. What is h in p(h) = 0?
-1, 1, 217
Let k(a) = 3*a + 1. Let y(q) = 2*q**2 + 326*q + 14786. Let h(p) = -6*k(p) - y(p). Determine r so that h(r) = 0.
-86
Suppose -74*z + 900 = 106*z. Find v, given that 0 - 12/23*v**4 - 24/23*v**2 + 8/23*v + 26/23*v**3 + 2/23*v**z = 0.
0, 1, 2
Let v(p) = p**2 - 47*p + 46. Let x(r) be the second derivative of 15*r**3/2 - 45*r**2/2 + r. Let c(u) = 5*v(u) + 4*x(u). Find m, given that c(m) = 0.
1, 10
Let v be (-4)/(-3)*(16 + -157). Let t = -186 - v. Suppose 0*r + 0 - 2/11*r**5 + 2/11*r**4 + 0*r**t + 0*r**3 = 0. What is r?
0, 1
Find p, given that 2/13*p**5 + 0 + 4/13*p**4 + 0*p**3 - 4/13*p**2 - 2/13*p = 0.
-1, 0, 1
Let z = -19/1733 - -160101/60655. Let a = z - 8/35. Solve -a*y - 12/5*y**4 + 3/5*y**5 + 0 + 12/5*y**2 + 9/5*y**3 = 0.
-1, 0, 1, 2
Let b(q) = q**4 - 36*q**3 + 486*q**2 - 2915*q + 6562. Let m(r) = r + 1. Let x(v) = b(v) - m(v). Factor x(y).
(y - 9)**4
Let u(s) be the second derivative of -3/4*s**5 + 0 + 0*s**2 + 1/6*s**6 - 5/3*s**3 - 25/12*s**4 + 5/42*s**7 - 36*s. Factor u(k).
5*k*(k - 2)*(k + 1)**3
Let m(p) be the second derivative of -24*p + 3/80*p**5 - 3/4*p**2 - 1/40*p**6 + 0 - 1/8*p**3 + 3/16*p**4. Solve m(f) = 0.
-1, 1, 2
Let f(j) = 6*j**2 + 15*j - 9. Let z(r) be the second derivative of -2*r**2 + 1/4*r**4 - 2*r + 7/6*r**3 + 0. Let v(h) = 2*f(h) - 5*z(h). Factor v(s).
-(s + 2)*(3*s - 1)
Suppose 0 = 4*h + 33 + 7. Let n = -5 - h. Factor -2*l**3 + l**3 + 9*l**n - 10*l**5 + 2*l**4.
-l**3*(l - 1)**2
Let y(m) be the first derivative of -47 - 1/8*m**6 - 81/8*m**4 - 27*m**3 - 9/5*m**5 + 0*m - 243/8*m**2. Solve y(a) = 0 for a.
-3, 0
Let w(s) = s**2 - 1. Let v(r) = -4*r**3 - 6*r**2 + 2. Let i = -11 + 21. Suppose u - 6*u + i = 0. Let y(z) = u*w(z) + v(z). Solve y(x) = 0.
-1, 0
Let z = 6563 - 6561. Solve -4/9 - 2/9*y**3 + 4/9*y**z + 2/9*y = 0.
-1, 1, 2
Let y(p) be the first derivative of -p**7/420 + p**6/240 + p**5/60 - 8*p**2 - 4. Let b(m) be the second derivative of y(m). Let b(d) = 0. What is d?
-1, 0, 2
Let u(g) be the second derivative of -5*g**4/66 - 98*g**3/33 + 40*g**2/11 - 81*g. Determine c, given that u(c) = 0.
-20, 2/5
Let p(u) = -u**2 - 23*u - 13. Let z(o) = o**2 + 42 + o**2 - 28 + 22*o. Let y(v) = 2*p(v) + 3*z(v). Factor y(g).
4*(g + 1)*(g + 4)
Let d(t) be the second derivative of t**4/30 - 2*t**3/5 + t**2 - 9*t - 8. Factor d(n).
2*(n - 5)*(n - 1)/5
Let g(y) = -32*y**2 - 120*y - 34. Let t(m) = 11*m**2 + 40*m + 12. Let i(f) = -6*g(f) - 17*t(f). Suppose i(o) = 0. Calculate o.
-8, 0
Let m(j) = 11*j**2 - 24*j + 28. Let g(i) = -90*i**2 + 192*i - 222. Let x(k) = 4*g(k) + 33*m(k). Factor x(z).
3*(z - 6)*(z - 2)
Let z be 2 + (-1*77/(-42))/(-1). Let x(f) be the first derivative of 4 - z*f**4 + 7/3*f**3 - 4/3*f - 4/3*f**2 - 7/15*f**5. Determine g, given that x(g) = 0.
-2, -2/7, 1
Factor 8/5 - 18/5*b - 2/5*b**3 + 12/5*b**2.
-2*(b - 4)*(b - 1)**2/5
Let p = 11007 - 11005. Factor 0 + 1/7*z**4 - 2/7*z**3 + 2/7*z - 1/7*z**p.
z*(z - 2)*(z - 1)*(z + 1)/7
Let r(v) be the first derivative of -5*v**4/4 - 5*v**3 + 20*v + 108. What is i in r(i) = 0?
-2, 1
Let t(y) = y + 9. Let m be t(-9). Let s be 2 - 0 - (m - 6/(-12)). Factor 0 - s*o**3 + 3*o**2 + 9/2*o.
-3*o*(o - 3)*(o + 1)/2
Let a(j) = -5*j**3 + 35*j**2 - 35*j + 5. Let z(g) = -2*g**3 + 18*g**2 - 18*g + 2. Let m(r) = 3*a(r) - 5*z(r). Factor m(f).
-5*(f - 1)**3
Let l(d) be the third derivative of -d**5/240 + 9*d**4/16 - 13*d**3/3 + 339*d**2. Let l(n) = 0. Calculate n.
2, 52
Let s = 25 + -32. Let a(l) = -l - 4. Let j be a(s). Let -3/7*b**j + 0*b**2 + 6/7 + 9/7*b = 0. What is b?
-1, 2
Let g(u) = 4*u**2 - 3*u + 3. Let i be g(1). Let x be ((-2)/(-2 + i))/((-2)/4). Factor -3/5*d - 2/5 + 1/5*d**4 + 3/5*d**3 + 1/5*d**x.
(d - 1)*(d + 1)**2*(d + 2)/5
Let y(z) be the first derivative of z**8/1176 - 4*z**7/245 + z**6/20 - z**5/21 + 18*z**2 - 21. Let a(d) be the second derivative of y(d). Factor a(f).
2*f**2*(f - 10)*(f - 1)**2/7
Factor u + 1/3*u**2 + 0.
u*(u + 3)/3
Suppose -g = -3*p - 2*p + 48, -4*p + 30 = -5*g. Factor -p*y - 1 - 5 - 2*y**2 - 38*y**3 + 8*y**4 + 48*y**2.
2*(y - 3)*(y - 1)**2*(4*y + 1)
Let v be 10/315*7 + 7049/(-9). Let i = v + 7069/9. Solve -4/3*l**3 + 28/9*l**2 - i*l + 2/3 + 2/9*l**5 - 2/9*l**4 = 0.
-3, 1
Suppose 15 = 5*c, 3*n + 2*n - 64 = 2*c. Let x = 14 - n. Factor 7*o - o**4 - 3*o + x + 4*o**3 - 5*o**2 - 1 - o**2.
-(o - 1)**4
Let q(z) = z**3 - 13*z**2 - 42*z - 94. Let g be q(16). Determine m, given that 2/23*m**3 + 0*m + 0 + 2/23*m**4 - 2/23*m**g - 2/23*m**5 = 0.
-1, 0, 1
Let j be (-3 - -4)*-2 + 4. Factor 2*l**2 + 171*l**3 + 2*l**5 - 4*l**4 - 2*l**j - 169*l**3.
2*l**3*(l - 1)**2
Let u(x) be the first derivative of -x**7/140 + x**6/80 + x**5/40 - x**4/16 + 3*x**2 - 4. Let s(l) be the second derivative of u(l). Factor s(p).
-3*p*(p - 1)**2*(p + 1)/2
Suppose -l = l - 20. Factor 5 - 9 - l*b**4 - 36*b**2 - 32*b**3 - 16*b + 2.
-2*(b + 1)**3*(5*b + 1)
Let n(k) = k**3 - 11*k**2 - 25*k - 11. Let w be n(13). Let y be (15/25)/(w*2/20). Determine z, given that -1/7 + 1/7*z**2 - 1/7*z + 1/7*z**y = 0.
-1, 1
Let u = 38 + -15. Let x = u + -20. Suppose -9*d**2 + 39*d**4 - 25*d**4 - 7*d**2 + 52*d**x = 0. Calculate d.
-4, 0, 2/7
Let v be ((-50)/(-35))/(3 - 202/70). Let b = 40/3 - v. Determine a, given that -4/3*a**2 + 2/3*a - 1/6*a**4 + b*a**3 + 0 = 0.
0, 1, 2
Factor -14*h - 44*h + 14*h - 4*h**2.
-4*h*(h + 11)
Let v(c) be the third derivative of 0*c**5 + 0 + 0*c + 0*c**4 + 16*c**2 - 1/780*c**6 + 0*c**3. Factor v(b).
-2*b**3/13
Let d(v) = v**2 + 0 - v + 0*v**2 + 1 + 2*v. Let m(w) = 5*w**3 - 11*w**2 - 6*w - 6. Let q(l) = 6*d(l) + m(l). Factor q(z).
5*z**2*(z - 1)
Let i = -13995 - -41987/3. Determine j, given that -14/3*j + 0 - i*j**2 = 0.
-7, 0
Let h be (0 - (-1)/(-3))/(4/(-128) + 0). Factor -h*b + 4/3*b**2 + 4/3*b**3 - 16.
4*(b - 3)*(b + 2)**2/3
Let u(g) = -6*g**4 + 18*g**3 + 72*g**2 + 39*g - 18. Let n(y) = 3*y**4 - 9*y**3 - 35*y**2 - 19*y + 8. Let m(o) = 9*n(o) + 4*u(o). Suppose m(x) = 0. What is x?
-1, 0, 5
Let r = -1117/2 + 5609/10. What is q in 0 - 4/5*q**2 - r*q = 0?
-3, 0
Factor m**3 + 0*m + 0 + 1/4*m**4 + 0*m**2.
m**3*(m + 4)/4
Let q(d) be the second derivative of 0*d**2 - 13*d + 1/40*d**5 + 0*d**3 + 1/120*d**6 + 0 + 1/48*d**4. Solve q(s) = 0 for s.
-1, 0
Let t be (-15)/3 - (1 - -4). Let k be t/(-12)*2/((-80)/(-12)). Suppose -k*b + 0 - 1/4*b**2 = 0. What is b?
-1, 0
Suppose i - 4*k - 2 = 0, 3*i + 1 - 7 = 4*k. Let -12 - 4 - o**2 + 5*o**i + 12*o + 0*o**2 = 0. Calculate o.
-4, 1
Let a = 3001 - 2999. Find v, given that -50/7 - 2/7*v**a - 20/7*v = 0.
-5
Suppose b + 5*s = -33, 2*b + 2*s = -s - 31. Let q be 8/b + 4/2. Suppose 3*c**4 - 1 + q + 0 = 0. What is c?
0
Factor 420 + 58*k**2 + 66*k**2 - 20935*k**3 + 20931*k**3 + 548*k.
-4*(k - 35)*(k + 1)*(k + 3)
Let z(t) = -10*t**2 - 10*t. Let c(u) = -5*u**2 - 5*u. Let o(d) = 5*c(d) - 2*z(d). Let w(l) = -l**2 - l. Let i(q) = 6*o(q) - 25*w(q). Find s such that i(s) = 0.
-1, 0
Let m(j) be the first derivative of -1/2*j**4 - 14 + 2/5*j**5 + 0*j - 2/3*j**3 + 1/3*j**6 + 0*