**4 - 4*y - 1/5*y**5 + 6. Let v(q) = 0. What is q?
1, 2
Let j be (1/(-6))/(6/(-148)) + 3. What is v in 250/9*v**5 - j - 1300/9*v**4 - 1696/9*v**2 + 544/9*v + 2320/9*v**3 = 0?
2/5, 2
Let -6 + 61*y - 3601/4*y**3 - 37/2*y**2 + 1183/2*y**4 = 0. What is y?
-2/7, 2/13, 3/2
Let v be -6*5/(30/(-4)). Factor 2*p**2 + 2*p**5 + 3*p**4 - 2*p**3 - 6*p**4 + p**v.
2*p**2*(p - 1)**2*(p + 1)
Let d be (-5)/15*18/(-7). Determine f so that 0 + 3/7*f**3 + 0*f + 3/7*f**5 + 0*f**2 + d*f**4 = 0.
-1, 0
Let a = 47/2 - 23. Let f(o) be the third derivative of o**2 + 0*o - a*o**4 + 0 + 1/2*o**3 + 1/5*o**5. Solve f(w) = 0.
1/2
Factor 2/3*j + 4/3*j**3 + 0 + 1/3*j**4 + 5/3*j**2.
j*(j + 1)**2*(j + 2)/3
Let x(r) be the first derivative of 8/25*r**5 - 1/5*r**2 - 3/5*r**4 + 8/15*r**3 - 5 + 0*r - 1/15*r**6. Factor x(c).
-2*c*(c - 1)**4/5
Let m(f) = -f**3 + 6*f**2 + f - 3. Let z be m(6). Factor -2 + 6*t**4 + 3*t - z*t**5 + 189*t**2 - 195*t**2 + 2.
-3*t*(t - 1)**3*(t + 1)
Let g(t) be the first derivative of -t**3/12 - t**2/2 + 8. Factor g(u).
-u*(u + 4)/4
Let x(d) = -d - 8. Let y be x(-14). Factor 0*v - 3*v**4 + v**4 + y*v**3 + 2*v - 6*v**2.
-2*v*(v - 1)**3
Solve -4/5 - 6/5*v**3 - 13/5*v**2 - 1/5*v**4 - 12/5*v = 0 for v.
-2, -1
Let f(o) be the second derivative of o**5/8 + 5*o**4/24 - 5*o**3/12 - 5*o**2/4 - 37*o. Find u, given that f(u) = 0.
-1, 1
Let q = 4237/11 - 385. Let 0*m + 0 + q*m**5 - 4/11*m**2 - 2/11*m**3 + 4/11*m**4 = 0. Calculate m.
-2, -1, 0, 1
Let i = 20 - 159/8. Let f(t) be the first derivative of -2 - 1/4*t + 1/6*t**3 - i*t**2. Factor f(u).
(u - 1)*(2*u + 1)/4
Let s(i) be the first derivative of 3/25*i**5 + 0*i + 1 + 3/20*i**4 + 0*i**2 - 1/10*i**6 - 1/5*i**3. Factor s(x).
-3*x**2*(x - 1)**2*(x + 1)/5
Let p(v) = 26*v**2 + 2*v + 2. Let r be p(-1). Let d = r + -26. Factor 2/7*f**2 + d + 2/7*f.
2*f*(f + 1)/7
Factor -2/3*y**2 - 16/3 - 6*y.
-2*(y + 1)*(y + 8)/3
Determine j so that 4/7*j**3 + 18/7*j**4 - 4/7*j + 0 - 18/7*j**2 = 0.
-1, -2/9, 0, 1
Let w(p) = -2*p**2 + 4*p**2 - p**2 + 0*p**2. Let n(i) = -9*i**2 + 2*i - 1. Let z(j) = 3*n(j) + 24*w(j). Factor z(f).
-3*(f - 1)**2
Suppose 4*g - 6*g - 10 = -5*q, -4*q + 2*g + 8 = 0. Find h, given that -3*h - h - 4 + h**q + 7 = 0.
1, 3
Let w(x) = -x**2 + 6*x + 2. Let h be w(4). Factor 0 - 2 + h*b - 16*b**2 + b + 7*b**3 + 0*b.
(b - 1)**2*(7*b - 2)
Let c(q) = 0*q + 3 - 4*q**3 - 2*q**3 - q**2 + 3 + q. Let x(d) = -7*d**3 - d**2 + d + 7. Let a(u) = 6*c(u) - 5*x(u). What is b in a(b) = 0?
-1, 1
Let n(u) be the third derivative of -u**9/151200 - u**8/50400 + u**7/6300 - u**5/12 - 6*u**2. Let y(d) be the third derivative of n(d). Factor y(c).
-2*c*(c - 1)*(c + 2)/5
Suppose -5*c - 84 = -24. Let l be 2/(-6) + (-40)/c. Solve 0 - 1/2*h**l + 1/2*h + 0*h**2 = 0.
-1, 0, 1
What is k in -13/8*k**4 + 0*k - 1/2*k**2 + 3/2*k**5 + 0 - 5/2*k**3 = 0?
-2/3, -1/4, 0, 2
Let p(n) be the first derivative of 0*n + 2 - 2/27*n**3 + 2/9*n**2. Factor p(y).
-2*y*(y - 2)/9
Factor -1/7*g**2 + 0 + 3/7*g.
-g*(g - 3)/7
Find y such that 24*y**4 + 6 + 0 - 23*y**2 - 7*y**3 + 16*y**5 - 7 - 9*y = 0.
-1, -1/4, 1
Let q(k) be the third derivative of k**7/210 - k**6/15 + 13*k**5/60 - k**4/4 + 22*k**2. Factor q(h).
h*(h - 6)*(h - 1)**2
Solve 0 + 1/6*x**2 + 1/2*x = 0.
-3, 0
Suppose 2*d + 3*a + 6 = -1, -1 = -4*d - 3*a. Factor 45*m**d + 33/2*m**3 - 6*m - 75/2*m**5 + 0 - 18*m**2.
-3*m*(m - 1)**2*(5*m + 2)**2/2
Let f(g) be the first derivative of g**8/2800 + 3*g**7/1400 + g**6/200 + g**5/200 + g**3/3 + 3. Let k(p) be the third derivative of f(p). Factor k(d).
3*d*(d + 1)**3/5
Let i(a) be the second derivative of -3*a - a**2 + 0 + 3/2*a**3 - 7/12*a**4. Determine w so that i(w) = 0.
2/7, 1
Let t(o) be the first derivative of 5*o**6/6 + 22*o**5/5 + 33*o**4/4 + 20*o**3/3 + 2*o**2 + 14. Find l, given that t(l) = 0.
-2, -1, -2/5, 0
Let g(q) be the third derivative of -q**5/210 + q**4/84 - 7*q**2. Factor g(i).
-2*i*(i - 1)/7
Let q be (-2)/6 - 1977/63. Let w = q + 32. Let -2/7*r**3 + 0 + 0*r**2 + w*r = 0. What is r?
-1, 0, 1
Let y(l) be the second derivative of 0 + 3*l - 1/36*l**4 - 1/6*l**2 - 1/9*l**3. Suppose y(i) = 0. Calculate i.
-1
Suppose 2*b = 4*s - 4, -3*s + 4*b + 5 + 3 = 0. Solve -1 + o**2 - o + o + s*o = 0.
-1, 1
Let o(i) be the first derivative of 2/5*i**5 - 3 - 2*i**3 + 1/2*i**4 + 4*i - i**2. Factor o(k).
2*(k - 1)**2*(k + 1)*(k + 2)
Suppose 4*s - 26 = -2*o, -3*o = -5*s + 19 + 8. Determine g, given that -6 + 4 + s*g**2 - 3*g**2 - g**2 = 0.
-1, 1
Let g(z) be the third derivative of -2*z**2 + 0*z**4 + 0 + 0*z**3 + 1/40*z**6 + 0*z + 1/10*z**5. Solve g(w) = 0 for w.
-2, 0
Let i(x) be the third derivative of x**7/1680 - x**6/960 - x**5/240 - 10*x**2. Factor i(u).
u**2*(u - 2)*(u + 1)/8
Find g such that -1/8 + 2*g**4 - g + g**3 - 15/8*g**2 = 0.
-1, -1/4, 1
Let s be -3*(-6)/(-27)*-3. Let u(y) = y**2 - 12*y + 20. Let c be u(2). Factor -2/7*d + 0*d**s + 2/7*d**3 + c.
2*d*(d - 1)*(d + 1)/7
Let h be -6 + 3 + (-115)/(-42). Let i = 1/14 - h. Suppose 4/3*j**3 + 1/3 + 4/3*j + i*j**4 + 2*j**2 = 0. What is j?
-1
Suppose -4*k + 9 = 5. Find g such that -2*g**3 + k - 5 + 4 = 0.
0
Let b be 1/2 - (-2)/(-4). Let y(g) be the first derivative of b*g + 2 - 2/7*g**5 + 0*g**2 - 1/7*g**4 - 1/7*g**6 + 0*g**3. Suppose y(h) = 0. Calculate h.
-1, -2/3, 0
Let q(a) = a**2 - 3*a + 4. Let h(w) = 5*w**2 - 15*w + 21. Let r(u) = -2*h(u) + 11*q(u). Let r(s) = 0. Calculate s.
1, 2
Let t(b) be the first derivative of 3*b**5/8 - 3*b**4/8 - 3*b**3 - 3*b**2 + 10*b + 6. Let m(q) be the first derivative of t(q). Factor m(z).
3*(z - 2)*(z + 1)*(5*z + 2)/2
Let d(w) be the third derivative of -1/900*w**6 + 0*w**4 + 0*w**5 + 0*w + 0 - 1/3*w**3 + w**2. Let n(q) be the first derivative of d(q). Factor n(k).
-2*k**2/5
Factor 72/17 - 24/17*r + 2/17*r**2.
2*(r - 6)**2/17
Let f(b) = -b - 7. Let d be f(-9). Let q be (d + 7/(-5))/1. Solve 2/5 + 3/5*i - 1/5*i**2 - q*i**3 - 1/5*i**4 = 0.
-2, -1, 1
Let z be (-33)/7 + 8/(-28). Let p be (14/(-35))/(1/z). What is n in 0*n + 0*n - p*n**2 = 0?
0
Let a(p) be the third derivative of p**5/45 + p**4/18 - 4*p**3/9 + 3*p**2. Factor a(c).
4*(c - 1)*(c + 2)/3
Suppose 0 = j - 5*p + 7 - 4, j = -p + 3. Let 0*f + 0*f**j + 0 + 2/7*f**5 + 2/7*f**3 + 4/7*f**4 = 0. Calculate f.
-1, 0
Let l be (-27)/(-9) - 203/55. Let c = l + 12/11. Let c*b**3 + 2/5 - 2/5*b - 2/5*b**2 = 0. Calculate b.
-1, 1
Let d be 4 + -6 - (2 - 1). Let r = 4 + d. Factor -1/2*v**2 + r - 1/2*v.
-(v - 1)*(v + 2)/2
Let q(h) = h**3 + 7*h**2 + 5*h - 4. Let v be q(-5). Let u be 4/6 - v/(-9). Factor 4*s - 4*s**u + 2*s**4 - 2 + 0*s**4 + 0.
2*(s - 1)**3*(s + 1)
Let f = 2 + 1. Factor 1 - 4*d + 7*d + 3*d - 4 - f*d**2.
-3*(d - 1)**2
What is q in -76/7*q**3 - 4/7*q**5 - 64/7*q - 16/7 - 4*q**4 - 100/7*q**2 = 0?
-2, -1
Let n(s) be the third derivative of s**5/20 - s**3/2 - s**2. Factor n(b).
3*(b - 1)*(b + 1)
Let r = 5 - -1. Suppose 5*y - 2 - 23 = 0. Determine q so that -15*q - r*q**2 + 1 - 5 + y*q = 0.
-1, -2/3
Let y(i) = 26*i**2 - 45*i + 30. Let d(t) = -5*t**2 + 9*t - 6. Let g(b) = -11*d(b) - 2*y(b). Factor g(f).
3*(f - 2)*(f - 1)
Let f(w) be the second derivative of w**5/60 - w**4/3 + 8*w**3/3 - 32*w**2/3 - 22*w. Factor f(k).
(k - 4)**3/3
Let x be -4 - 98/(-18) - 1. Factor -2/9*o**2 - 2/9 + x*o.
-2*(o - 1)**2/9
Factor 26/9*u**2 + 46/9*u**4 + 6*u**3 + 14/9*u**5 + 4/9*u + 0.
2*u*(u + 1)**3*(7*u + 2)/9
Let j(u) be the second derivative of u**7/84 + u**6/20 + u**5/40 - u**4/8 - u**3/6 + 8*u. Find a such that j(a) = 0.
-2, -1, 0, 1
Let w(b) = 15*b**2 + 75*b + 30. Let u(a) = a. Let i(k) = -20*u(k) + w(k). Find r such that i(r) = 0.
-3, -2/3
Let k(n) be the first derivative of -10*n**6/3 + 7*n**5 + 5*n**4/2 - 40*n**3/3 + 5*n**2 + 5*n - 19. Determine s, given that k(s) = 0.
-1, -1/4, 1
Find k such that 4/3 + 289/3*k**2 - 68/3*k = 0.
2/17
Let g(a) be the third derivative of a**5/360 + 7*a**4/144 - 22*a**2. What is u in g(u) = 0?
-7, 0
Suppose -5 = 3*c - 2*h + 11, -4*c - 19 = -5*h. Let i = 11 + c. Factor 0*t**2 + 2*t - i*t + 2*t - t**2.
-t*(t + 1)
Find x such that 2/9*x**4 - 4/3*x**2 - 2/9*x**3 + 0*x + 0 = 0.
-2, 0, 3
Let g(r) = r**3 - 11*r**2 - 12*r. Let o(z) = z**2 + z. Let f(v) = -3*g(v) - 24*o(v). Factor f(y).
-3*y*(y - 4)*(y + 1)
Let n be 13/182*14/4. Factor -1/2*b**3 + 0 + 0*b**2 + n*b + 1/4*b**5 + 0*b**4.
b*(b - 1)**2*(b + 1)**2/4
Factor 0 + 0*x + 4/5*x**2 +