o**2 - 1/16*o**4. Solve l(c) = 0 for c.
-1, 0, 1
Factor -2/13*w**2 + 8/13*w - 8/13.
-2*(w - 2)**2/13
Let h be 4/(2/1)*(110 + -109). Suppose 0 + 0*y + 1/9*y**h = 0. Calculate y.
0
Let j(c) be the first derivative of 4*c**3/3 - 6*c**2 + 10. Let g(r) = r + 1. Let f(a) = -4*g(a) - j(a). Suppose f(h) = 0. What is h?
1
Find h such that 27/5*h**2 + 0 - 6/5*h = 0.
0, 2/9
Suppose 8 = -2*v + 6*v. Let u = v - -1. Let -4/5*a - 1/5*a**4 + 0 + 3/5*a**u + 0*a**2 = 0. Calculate a.
-1, 0, 2
Factor 26/23*m**2 + 2/23*m**3 + 70/23*m - 98/23.
2*(m - 1)*(m + 7)**2/23
Let v = 43 + -28. Factor 11*d - 9*d**3 + v*d**2 - 3*d**3 - 18*d + 4*d.
-3*d*(d - 1)*(4*d - 1)
Let g(j) = -12*j**5 - 3*j**4 - 18*j**3 - 12*j**2 - 15*j + 15. Let u(n) = n**5 + n**3 + n**2 + n - 1. Let r(q) = g(q) + 15*u(q). What is o in r(o) = 0?
-1, 0, 1
Suppose -3 = -b, 18 = 4*t + 3*b + 1. Let m(r) be the first derivative of -5*r**3 - t*r + 2 + 2*r**2 - 3*r**2 + 3*r + 4*r**3. Determine j so that m(j) = 0.
-1, 1/3
Suppose -2*c = -2*r - 22, -3*c - 57 = -8*c + 4*r. Suppose 2*y - c = -y + p, -y + 11 = 3*p. Find h, given that h**y + h**3 + 2*h - h - 3*h**3 = 0.
-1, 0, 1
Suppose 16 = -0*q + 4*q. Suppose -2*y = -g + 3*g - 4, 4 = 2*y - 4*g. Solve -2/3 + 2/3*c**5 + 4/3*c**y - 2/3*c**q - 4/3*c**3 + 2/3*c = 0 for c.
-1, 1
Factor -32*v**2 + 11*v**2 + 9 - 6*v**3 + 2*v - 26*v - 18.
-3*(v + 1)**2*(2*v + 3)
Solve 4/5*h**2 + 8/5*h + 4/5 = 0 for h.
-1
Suppose 4*c = -3*j + j, 0 = 5*c + 5. Suppose 3*s = 6*s. Factor 2/7*x + 0*x**j - 2/7*x**3 + s.
-2*x*(x - 1)*(x + 1)/7
Let o(d) = -4*d**3 + 2*d**2 + 2*d - 3. Let y(m) = -3*m**3 + 2*m**2 + 3*m - 4. Let p(l) = -2*o(l) + 3*y(l). Factor p(i).
-(i - 3)*(i - 1)*(i + 2)
Let n(o) = -4*o + 34. Let l be n(8). Solve 18*s**5 - 39/2*s**4 - 10*s**3 + 4*s + 7*s**l + 1/2 = 0.
-1/3, -1/4, 1
Let r(f) be the third derivative of f**6/210 + 2*f**5/7 + 50*f**4/7 + 2000*f**3/21 - f**2. Determine q, given that r(q) = 0.
-10
Let b(l) be the second derivative of -l**8/3360 + l**7/630 - l**6/360 + l**4/4 + l. Let j(p) be the third derivative of b(p). Factor j(k).
-2*k*(k - 1)**2
Let a(m) be the first derivative of -m**4/20 + m**3/5 - 11. Suppose a(t) = 0. Calculate t.
0, 3
Suppose -35*f + 30 = -29*f. Determine t so that 2/9*t**2 + 4/9*t - 26/9*t**4 + 0 - 10/9*t**f - 2*t**3 = 0.
-1, 0, 2/5
Let q(s) = s**2 - 2*s - 4. Let g = -7 + 17. Let w(j) = -3*j**2 + 3*j + 8. Let n(u) = g*q(u) + 4*w(u). Suppose n(x) = 0. Calculate x.
-2
Let p = -2/5 + 9/10. Let t = 3/14 - -2/7. Find k, given that t*k**4 + 0 + 1/2*k**3 - 1/2*k - p*k**2 = 0.
-1, 0, 1
Let a(h) = -h + 10. Let u be a(8). Let o be 1/(6/8*u). Factor -o - 6*b**2 - 4/3*b**4 - 10/3*b - 14/3*b**3.
-2*(b + 1)**3*(2*b + 1)/3
Let q(n) be the second derivative of -n**6/135 + n**5/30 - n**4/18 + n**3/27 + 8*n + 1. Determine r so that q(r) = 0.
0, 1
Let v be 0 + (119/35 - 3). Factor v*j**3 - 2/5*j**5 + 2/5*j**2 - 2/5*j**4 + 0*j + 0.
-2*j**2*(j - 1)*(j + 1)**2/5
Suppose 0 = -4*h + 5*j + 8, 2*h - 1 = -5*j + 3. Let f(g) be the first derivative of 0*g**h - 3 - g + 1/3*g**3. Solve f(v) = 0 for v.
-1, 1
Let r(w) be the second derivative of -1/60*w**5 - w**2 + 0*w**3 - w + 0*w**4 + 0. Let h(g) be the first derivative of r(g). Factor h(a).
-a**2
Let z(h) = -7*h**5 + 6*h**4 - 10*h**2 + 3*h - 4. Let c(t) = -6*t**5 + 6*t**4 - 9*t**2 + 3*t - 3. Let l(a) = 4*c(a) - 3*z(a). Find p, given that l(p) = 0.
-1, 0, 1
Let p(n) be the third derivative of n**6/420 - 2*n**5/105 + 5*n**4/84 - 2*n**3/21 - 27*n**2. Factor p(y).
2*(y - 2)*(y - 1)**2/7
Let l(t) = -t**3 - 4*t**2 - t + 4. Let d be l(-3). Let i be (d + 12/3)/7. Factor i*o**2 - 4/7 + 2/7*o.
2*(o - 1)*(o + 2)/7
Suppose 0 = 2*a - 0 + 68. Let c = 106/3 + a. Solve -c*v - 14/3*v**2 + 0 = 0.
-2/7, 0
Let x(z) be the second derivative of -1/36*z**3 - 1/40*z**5 - 1/180*z**6 - 1/24*z**4 - 7*z + 0*z**2 + 0. Factor x(y).
-y*(y + 1)**3/6
Factor -19*x - 33*x + 24*x + 8*x**2 + 12.
4*(x - 3)*(2*x - 1)
Let d(k) = -5*k**4 + 36*k**3 + 12*k**2 - 36*k - 41. Let z(m) = m**4 - 6*m**3 - 2*m**2 + 6*m + 7. Let p(t) = -6*d(t) - 34*z(t). Find v, given that p(v) = 0.
-2, -1, 1
Let c(h) be the third derivative of 1/150*h**5 + 1/300*h**6 + 0*h + 0*h**3 - 4*h**2 - 1/525*h**7 + 0 - 1/60*h**4. Determine o, given that c(o) = 0.
-1, 0, 1
Let c be 2/5 - 26/(-10). Let k be (-2)/c + (-22)/(-6). Solve -6 + 2 - i**2 + 2*i + k*i**2 = 0.
-2, 1
Let j(p) be the third derivative of p**8/70560 + p**5/20 + 8*p**2. Let g(n) be the third derivative of j(n). Factor g(k).
2*k**2/7
Let k = -3 + 5. Factor 1/2*o**k + 0 - 1/2*o.
o*(o - 1)/2
Let r(j) be the third derivative of -j**10/75600 - j**9/30240 - j**5/60 + j**2. Let k(x) be the third derivative of r(x). Factor k(a).
-2*a**3*(a + 1)
Let i(a) = -2*a - 5. Let o be i(-9). Let x(j) = j - 13. Let r be x(o). Factor r + 2/3*g**2 + 1/3*g**3 + 1/3*g.
g*(g + 1)**2/3
Let y be 10/15*(-42)/(-4). Suppose 0 = f + 2*z + 2, -4*z = -3*f + 7 + y. Suppose 16*c - 6*c**f - 2*c**5 - 3 - 6*c**3 + 9*c**4 - c**5 - 7*c = 0. What is c?
-1, 1
Let g(l) be the second derivative of l**4/12 - 5*l**3/6 + 2*l**2 + 32*l. Factor g(m).
(m - 4)*(m - 1)
Factor 2/5*n + 4/5*n**3 + 0 + n**2 + 1/5*n**4.
n*(n + 1)**2*(n + 2)/5
Let t(s) be the first derivative of s**6/2 - 3*s**4/4 + 4. Determine k so that t(k) = 0.
-1, 0, 1
Let i(s) be the third derivative of -s**5/210 + s**4/28 - 2*s**3/21 + 11*s**2. Factor i(j).
-2*(j - 2)*(j - 1)/7
Factor -6/11 + 16/11*r + 0*r**3 - 12/11*r**2 + 2/11*r**4.
2*(r - 1)**3*(r + 3)/11
Let x be -4 + 2 + 4 - -3. Factor -26*k + 26*k - x*k**4 - 6*k**3 - 23*k**4 + 4*k**2.
-2*k**2*(2*k + 1)*(7*k - 2)
Let g(r) be the first derivative of 4*r**3/15 + 2*r**2 + 24*r/5 - 1. Find t, given that g(t) = 0.
-3, -2
Let x(l) = l + 8. Let n be x(-6). Let j(v) be the second derivative of 0 - 3/20*v**5 + 1/2*v**3 + 1/6*v**4 - v**2 + n*v. Factor j(p).
-(p - 1)*(p + 1)*(3*p - 2)
Factor 16/3*z - 32 - 2/9*z**2.
-2*(z - 12)**2/9
Let k(d) = -d**3 - 2*d**2 - 5. Let b be k(-3). Factor 1/4*h - 1/2*h**3 + 1/4*h**b - 1/2*h**2 + 1/4*h**5 + 1/4.
(h - 1)**2*(h + 1)**3/4
Determine d so that -32/3*d - 9*d**2 + 1/3*d**5 - 4 + d**4 - 5/3*d**3 = 0.
-2, -1, 3
Factor -2*z**2 + 0*z**2 - z**4 + 3*z**3 - z**2 + z.
-z*(z - 1)**3
Let p(o) be the first derivative of 3 + 1/2*o**2 + 0*o + 0*o**4 + 1/60*o**5 + 0*o**3 + 1/120*o**6. Let h(w) be the second derivative of p(w). Factor h(x).
x**2*(x + 1)
Factor 1/11*g**4 + 2/11*g**3 + 0 + 1/11*g**2 + 0*g.
g**2*(g + 1)**2/11
Let k(g) be the third derivative of g**7/735 + g**6/70 + 2*g**5/35 + 5*g**4/42 + g**3/7 + 6*g**2. Find b such that k(b) = 0.
-3, -1
Let u(l) be the third derivative of l**5/150 - 2*l**4/15 - 50*l**2. Factor u(h).
2*h*(h - 8)/5
Let h be 36/10 - (-2)/5. Suppose -25*f**3 - 3*f**h - 3*f + 6*f**2 - f**5 - 2*f**5 - 3 + 31*f**3 = 0. Calculate f.
-1, 1
Let n(j) be the first derivative of j**6/180 - j**5/60 - j**4/6 - 2*j**3/3 - 1. Let i(o) be the third derivative of n(o). Factor i(d).
2*(d - 2)*(d + 1)
Let n(w) be the first derivative of -w**5/5 + w**4/2 - w**2 + w + 12. Suppose n(s) = 0. Calculate s.
-1, 1
Factor 0 - 2/5*u**5 + 0*u - 6/5*u**4 - 2/5*u**2 - 6/5*u**3.
-2*u**2*(u + 1)**3/5
Let i = 241/18 - 116/9. What is j in 0*j + 0 + j**2 - i*j**3 = 0?
0, 2
Let p(b) be the first derivative of -b**5/10 + b**4/6 + b**3/18 - b**2/6 - 13. Find r, given that p(r) = 0.
-2/3, 0, 1
Let x = -2 + 5. Suppose -5*j + 24 = 2*m, -j + 4 = x*m - 6. Factor 0*g**4 + 2/5*g**5 + 0 - 4/5*g**3 + 2/5*g + 0*g**m.
2*g*(g - 1)**2*(g + 1)**2/5
Factor 3/4*u**2 - 3/4*u**4 + 0 + 3/4*u**3 - 3/4*u.
-3*u*(u - 1)**2*(u + 1)/4
Let l be (-19)/(-7) - (-6)/21. Suppose -5*w - q + 1 = 0, -3 + 4 = -l*w + q. Factor 1/2*a**2 + w + 1/2*a.
a*(a + 1)/2
Let u(y) = -y**2 - 1. Let l(v) = -v + 5. Let g be l(6). Suppose -7*t = t - 24. Let h(d) = 3*d**3 - 15*d**2 + 15*d - 9. Let w(f) = g*h(f) + t*u(f). Factor w(s).
-3*(s - 2)*(s - 1)**2
Let q be (8/(-10))/((-14)/35). Suppose 0 = q*z - 6. Solve 0*o**2 - 4/3*o + 2/3*o**4 + 4/3*o**z - 2/3 = 0.
-1, 1
Let p = -3 + 6. Factor -4*f**2 - f**p + 6*f**2 - f + 0*f**3.
-f*(f - 1)**2
Suppose -28 + 8 = 5*p, -3*h + 4*p + 22 = 0. Suppose 5*y - 8 = h. Determine a so that -3/5 + 0*a + 3/5*a**y = 0.
-1, 1
Let p = -133 + 403/3. Let 0 + 8/3*q**3 + 2/3*q**4 + p*q + 10/3*q**2 = 0. Calculate q.
-2, -1, 0
Let p be ((-2)/9)/(33/234). Let w = 1/11 - p. Factor -w*g**