
-1, 0, 1
Solve 4/3*n**3 + 4/3*n**2 - 4/3*n**4 + 0 - 4/3*n = 0 for n.
-1, 0, 1
Let z(s) be the third derivative of -s**5/330 + s**4/33 - 4*s**3/33 - 7*s**2. Let z(a) = 0. Calculate a.
2
Suppose 4*u + 2*k - 2 = 0, u + 2*k = 2*u - 13. Factor 0 - 5/7*y**2 - 1/7*y**4 + 2/7*y + 4/7*y**u.
-y*(y - 2)*(y - 1)**2/7
Suppose -b + 2*q = 5*q - 16, -q = -b. Suppose -b*r + 3*c - 15 = 0, 6 + 9 = 3*c. Factor -2/7*a**3 + 0*a - 2/7*a**4 + r + 0*a**2.
-2*a**3*(a + 1)/7
Let d = 83 - 413/5. Factor d*i**2 + 4/5*i + 2/5.
2*(i + 1)**2/5
Let f(p) = 3*p**3 + 2*p**2 - 8*p - 7. Let g(a) = -4*a**3 - 3*a**2 + 12*a + 11. Let b(u) = -8*f(u) - 5*g(u). Solve b(l) = 0.
-1, -1/4, 1
Let v(i) be the first derivative of -i**3 - 3*i**2/2 + 6*i - 4. Factor v(f).
-3*(f - 1)*(f + 2)
Suppose -8/7*m + 2/7*m**2 + 8/7 = 0. What is m?
2
Factor -5/4*t + 3/2 - 1/4*t**2.
-(t - 1)*(t + 6)/4
Let l = 12 + -23. Let c be l/(-12) - (-4)/(-6). Find j, given that 1/4*j**4 + 1/4*j**3 - c*j + 0 - 1/4*j**2 = 0.
-1, 0, 1
Let o(u) be the first derivative of u**3 - 3*u**2/2 - 2. Factor o(j).
3*j*(j - 1)
Let g be (-1)/((10/4)/(-5)). Let x = 7 - 3. Determine n, given that 2*n - 10*n**g - 11*n**3 + x*n**2 + 3*n**3 = 0.
-1, 0, 1/4
Let k = -262 - -265. Factor 3/2*d**2 + 3/2 + k*d.
3*(d + 1)**2/2
Let d(l) be the first derivative of l**6/30 + l**5/60 - 5*l**2/2 - 7. Let r(p) be the second derivative of d(p). Suppose r(s) = 0. What is s?
-1/4, 0
Let s(i) be the second derivative of 0 - i - 3/5*i**3 + 7/30*i**4 + 2/5*i**2. Factor s(j).
2*(j - 1)*(7*j - 2)/5
Let t = -101/9 + 34/3. Let q(p) be the first derivative of -4/9*p**3 + 1/3*p**4 - p**2 + 1 + t*p**6 + 2/5*p**5 - 2/3*p. Factor q(l).
2*(l - 1)*(l + 1)**4/3
Factor 2*c**4 + 2*c - 2*c**3 - 3*c**4 - c**2 + c**4 + c**4.
c*(c - 2)*(c - 1)*(c + 1)
Suppose 7*i - 17 = 4. Let 2/11 - 4/11*f**i + 10/11*f**2 - 8/11*f = 0. Calculate f.
1/2, 1
Let p(q) be the second derivative of q**5/4 + 5*q**4/4 - 5*q**3/6 - 15*q**2/2 - 17*q. Factor p(k).
5*(k - 1)*(k + 1)*(k + 3)
Suppose 13 - 13 = 6*u. Let l(i) be the second derivative of -i - 1/6*i**4 + 0 - 1/15*i**6 + u*i**2 + 0*i**3 + 1/5*i**5. Suppose l(g) = 0. What is g?
0, 1
Let o be (-5 - -3)/((-26)/(-5)). Let p = o + 67/39. Factor p*j + 1/3*j**2 + 4/3.
(j + 2)**2/3
Let r(i) be the third derivative of 49*i**6/60 - 7*i**5/10 - 2*i**4 - 4*i**3/3 + 12*i**2. Determine k so that r(k) = 0.
-2/7, 1
Let m(n) be the third derivative of 0*n - 5*n**2 + n**3 - 1/4*n**4 + 1/40*n**5 + 0. Factor m(b).
3*(b - 2)**2/2
Let y(j) be the second derivative of 0 + 1/25*j**5 - 1/75*j**6 + 0*j**2 - 1/30*j**4 + 0*j**3 + 2*j. Factor y(d).
-2*d**2*(d - 1)**2/5
Let v(x) = -x + 8. Let s be v(8). Let i(b) be the third derivative of -1/30*b**4 - 2*b**2 + 0*b + s + 0*b**3 - 1/30*b**5. Let i(t) = 0. Calculate t.
-2/5, 0
Let k(l) = l - 2*l**4 - l**3 - 2 + l**4 + 1. Let d(c) = -c**4 - c**3 - c**2 + c - 2. Suppose -8 = 5*f - f. Let a(u) = f*d(u) + 4*k(u). Factor a(b).
-2*b*(b - 1)*(b + 1)**2
Suppose -l + 5*l = 20, 3*l - 17 = -r. Factor 3*z**4 - 5*z**4 - 1 + z - z**3 + 0*z**r + 3*z**2.
-(z - 1)*(z + 1)**2*(2*z - 1)
Let k = 121/3 + -40. Find o such that 0*o - 1/3 + k*o**2 = 0.
-1, 1
Let u = 11 - 32. Let t be (-111)/u - 2 - 3. Factor 2/7*y**2 + t*y**4 + 4/7*y**3 + 0 + 0*y.
2*y**2*(y + 1)**2/7
Let s(v) be the first derivative of 3*v**4/4 + 3*v**3 - 12*v - 15. Factor s(t).
3*(t - 1)*(t + 2)**2
Let t(l) be the first derivative of -l**6/765 + l**5/340 + l**4/204 - 2*l**3 + 4. Let g(m) be the third derivative of t(m). Factor g(n).
-2*(n - 1)*(4*n + 1)/17
Let g be (-11)/(-7) - 15/(-35). Factor 1/2*p**3 + 0 - 1/2*p + 0*p**g.
p*(p - 1)*(p + 1)/2
Factor 5*o - 4*o**2 - 7*o + 10*o - o**3 - 3*o**3.
-4*o*(o - 1)*(o + 2)
Let k(s) be the first derivative of s**4 + 16*s**3/3 + 10*s**2 + 8*s + 10. What is a in k(a) = 0?
-2, -1
Suppose -p - 4 - 1 = 0. Let w = -2 - p. Factor -7/3*x**3 - 2/3*x - w*x**2 + 0.
-x*(x + 1)*(7*x + 2)/3
Let b(r) be the third derivative of r**8/20160 - r**7/5040 + r**5/60 + 3*r**2. Let n(v) be the third derivative of b(v). Factor n(w).
w*(w - 1)
Let u(m) be the second derivative of m**6/160 - m**5/20 + m**4/8 - 5*m**2/2 - 8*m. Let w(b) be the first derivative of u(b). Let w(r) = 0. What is r?
0, 2
Suppose -4*o - 3 - 1 = 0. Let j(g) = -3*g**2 + 5*g - 4. Let t(m) = -m**2 + m - 1. Let v(b) = o*j(b) + 4*t(b). Find i such that v(i) = 0.
-1, 0
Let h be (0 - -17) + (-12)/(-3). Let m = 25 - h. Factor -1/3*u**m + 0 + 1/3*u**2 + 0*u**3 + 0*u.
-u**2*(u - 1)*(u + 1)/3
Let k(i) be the first derivative of -i**3/9 + i**2 - 3*i + 42. Factor k(t).
-(t - 3)**2/3
Factor -1/10*u**2 - 1/5*u + 0 + 1/10*u**3.
u*(u - 2)*(u + 1)/10
Let k(c) = c**3 + 2*c**2 + 2. Let p be k(-2). Factor 4*g**3 - g**4 - p*g**4 + g**4 - 2*g**2.
-2*g**2*(g - 1)**2
Solve 0 - 21/2*m**3 + 3/2*m**4 + 24*m + 12*m**2 = 0.
-1, 0, 4
Let f = -5 - -8. Factor -f*r + 3*r**4 - 3 + r**2 + 3*r**3 - 4*r**2 + 3.
3*r*(r - 1)*(r + 1)**2
Let u(k) be the first derivative of 2*k**5/55 + 3*k**4/22 + 2*k**3/11 + k**2/11 - 7. Factor u(g).
2*g*(g + 1)**3/11
Suppose 4*h - 2*i - i = 9, 0 = -3*h - 5*i - 15. Let v be h - (-1 - 4/20). Factor 27/5*n**3 - 21/5*n**2 + 3/5*n**5 + 0 - 3*n**4 + v*n.
3*n*(n - 2)*(n - 1)**3/5
Let x be (-4*(-2)/12)/(70/84). Determine d, given that 8/5*d + x - d**2 = 0.
-2/5, 2
Let m(v) be the first derivative of 4*v**4/3 - 8*v**3/9 - 7*v**2/6 - v/3 - 5. Determine h, given that m(h) = 0.
-1/4, 1
Determine q so that -4*q**2 + 16*q**4 - 7*q**4 - 8*q - 5*q**4 - 8*q**2 = 0.
-1, 0, 2
Let d be (-4 - -6)*2 - 1. Let w(c) be the second derivative of -2*c + 0*c**2 + 0 - 2/21*c**d - 1/6*c**4. Factor w(h).
-2*h*(7*h + 2)/7
Let j(p) be the first derivative of -p**5/10 - p**4/4 + p**3/6 + p**2/2 + 5. Factor j(r).
-r*(r - 1)*(r + 1)*(r + 2)/2
Let l = -2 - -4. Find g, given that 2*g + 4*g - 3 + 0*g - 3*g**l = 0.
1
Let f = -24 - -26. Let y(u) be the first derivative of -4/7*u**f - 8/7*u + 2 + 2/7*u**3. Factor y(l).
2*(l - 2)*(3*l + 2)/7
Find d such that 0 - 4/7*d**2 - 4/7*d**4 - 8/7*d**3 + 0*d = 0.
-1, 0
Let u be (-8)/(-12) - (-4)/(-6). Let h(n) be the third derivative of 3*n**2 + 0*n**4 + u + 0*n**3 - 1/240*n**6 + 0*n + 1/120*n**5. Factor h(p).
-p**2*(p - 1)/2
Factor -42 - 16*m + 0*m + 4*m**2 + 58.
4*(m - 2)**2
Let s(j) = -7*j + 81. Let q be s(11). Let x(h) be the second derivative of -5/24*h**3 + 0 + 1/16*h**5 - 3*h - 1/4*h**2 + 5/48*h**q - 1/40*h**6. Solve x(m) = 0.
-1, -1/3, 1, 2
Let q be -2*(-9)/8 - (-6)/8. Factor 0 + 0*w**q - 1/4*w**4 + 3/4*w**5 + 0*w**2 + 0*w.
w**4*(3*w - 1)/4
Let g(w) = w**3 + 12*w**2 - w - 9. Let y be -1 + 1 - (16 - 4). Let r be g(y). Solve -2/9*m + 4/9 + 2/3*m**r - 8/9*m**2 = 0 for m.
-2/3, 1
Let o be (-1 - -5)*(5 + -4). Determine a, given that 7*a - 6*a**3 + a - o*a**2 - 2*a**4 - 8*a = 0.
-2, -1, 0
Solve 65*h**2 - 50*h**3 + 94 - 14 + 0*h**4 + 100 + 300*h + 5*h**4 = 0.
-1, 6
Let d be ((-65)/(-26))/((-481)/2). Let v = d + 15417/2405. Find k such that -18/5*k**3 - v*k - 8/5 - 42/5*k**2 = 0.
-1, -2/3
Let y(a) be the first derivative of -9*a**5/10 - 5*a**4/2 - 13*a**3/6 - a**2/2 + 3. Factor y(o).
-o*(o + 1)**2*(9*o + 2)/2
Find o, given that -688*o**5 + o**4 + 0*o**4 - 5*o**3 + 693*o**5 - o**2 = 0.
-1, -1/5, 0, 1
Let o = -1 + 4. Find q such that -q**o + 2*q**3 + 12 - 3*q**2 - 8 = 0.
-1, 2
Factor 2/9*u**3 - 4/9*u**2 + 2/9*u + 0.
2*u*(u - 1)**2/9
Let a be 0*2*(-5)/20. What is p in 1/3*p - 1/3*p**2 + a = 0?
0, 1
Factor 0 - o**5 - 5/3*o**3 + 0*o - 7/3*o**4 - 1/3*o**2.
-o**2*(o + 1)**2*(3*o + 1)/3
Suppose 0 = -4*i + i + 9. Let y(f) be the third derivative of -4*f**2 + 0*f**4 + 0*f + 0*f**i - 1/90*f**5 + 0. Factor y(t).
-2*t**2/3
Let q(i) = i**2 - 1 + 4*i**2 - 7*i**2 - 2*i. Let o(u) = 2 - 3 - 4*u**2 + 0 + 3*u**2. Let f(c) = 2*o(c) - 2*q(c). Factor f(m).
2*m*(m + 2)
Suppose 3*v + v = 0. Suppose 0 = -0*a + a - 2. Determine r so that -r**5 + 3*r**3 + r**a + v*r**3 + 2*r**5 + 0*r**5 + 3*r**4 = 0.
-1, 0
Suppose 10*f**3 - 14*f - 6*f**5 + 10*f - 2*f**3 + 2*f**5 = 0. Calculate f.
-1, 0, 1
Suppose 0 - 1/2*s**2 + 1/4*s**3 + 1/4*s = 0. What is s?
0, 1
Let u(b) be the third derivative of 1/28*b**4 - b**2 - 1/245*b**7 + 0 - 1/1176*b**8 + 1/105*b**5 + 0*b + 1/21*b**3 - 1/210*b**6. What is o in u(o) = 0?
-1, 1
Factor 0 - 3/2*w**2 - w - 1/2*w**3.
-w*(w + 1)*(w + 2)/2
Let o(g) be the second derivative of 2*g + 1/21*g**7 + 1/10*g**5 + 