- 1)*(u + 2)/2
Let g = 9 - 6. Suppose -o**4 + o**2 + 0*o**4 + o**g + 0*o**4 - o = 0. What is o?
-1, 0, 1
Determine x, given that 11*x**4 + 2*x**2 - 13*x**4 + 2*x - 2*x = 0.
-1, 0, 1
Factor 0 - 6*w**2 + 8*w**2 - 2*w**4 + 0.
-2*w**2*(w - 1)*(w + 1)
Factor 4*f**2 + 9*f**3 - 3*f**5 - 16*f**2 - 12*f - 5*f**4 + 6*f**4 + 5*f**4.
-3*f*(f - 2)**2*(f + 1)**2
Let q(x) = -3*x + 2. Let z be q(-1). Let y(o) be the second derivative of 1/54*o**4 + 0*o**2 + 0 - 1/135*o**6 - o + 1/90*o**z - 1/27*o**3. Factor y(j).
-2*j*(j - 1)**2*(j + 1)/9
Let j(g) = 2*g**4 - 4*g**3 - 14*g**2 - 4. Let c(r) = -3*r**4 + 3*r**3 + 15*r**2 - r + 5. Let f(d) = -4*c(d) - 5*j(d). Factor f(w).
2*w*(w + 1)**2*(w + 2)
Let s(y) = -y. Let m(t) = t**2 - 10*t + 10. Let u be m(8). Let h be s(u). Solve -2*g**5 + 2*g - 2*g**2 - h*g**4 - 6*g**3 - 2*g = 0.
-1, 0
Let a be (12/15)/(4/10). Let n(z) be the first derivative of -z**a + 1 + 2/3*z**3 + 0*z. Factor n(l).
2*l*(l - 1)
Let -2*k**3 + 5*k**2 + 3*k**2 - 6*k**2 + 4*k = 0. What is k?
-1, 0, 2
Let o(j) = -j + 3. Let f be o(0). Suppose 0 = f*g + g - 8. Factor -4*h - 1/2*h**5 + 1/2*h**g + 2 - 1/2*h**4 + 5/2*h**3.
-(h - 1)**3*(h + 2)**2/2
Determine h, given that 0 - 3*h + 6*h**4 - 6*h**2 - 15/4*h**5 + 27/4*h**3 = 0.
-1, -2/5, 0, 1, 2
Let m(d) be the third derivative of -d**9/12096 + d**8/1680 - d**7/672 + d**6/720 + 4*d**3/3 + 6*d**2. Let f(w) be the first derivative of m(w). Factor f(k).
-k**2*(k - 2)*(k - 1)**2/4
Let m(d) be the first derivative of -5*d**4/4 + 5*d**3/3 + 25*d**2/2 + 15*d + 5. Let m(n) = 0. Calculate n.
-1, 3
Let c = -56 - -505/9. Let j(w) be the first derivative of -1/3*w - 1/12*w**4 + c*w**3 + 1 + 1/6*w**2. Factor j(v).
-(v - 1)**2*(v + 1)/3
Suppose 0 = 2*y - 2*x - 8, 2*x = -2*y + 5*x + 9. Let l(b) be the third derivative of 1/300*b**5 + 0*b**y - b**2 + 0*b + 0 + 0*b**4. Factor l(z).
z**2/5
Let f(c) = -111*c**3 - 107*c**2 + 25*c + 30. Let z(g) = -28*g**3 - 27*g**2 + 6*g + 7. Let k(r) = -4*f(r) + 18*z(r). Find u, given that k(u) = 0.
-1, -3/10, 1/3
Let a(f) be the third derivative of f**7/840 - f**6/80 + f**5/20 + f**4/24 + 5*f**2. Let n(l) be the second derivative of a(l). Solve n(r) = 0 for r.
1, 2
Let g(r) be the third derivative of r**6/140 - r**5/35 - 3*r**4/28 + 18*r**2. Suppose g(v) = 0. Calculate v.
-1, 0, 3
Suppose k - 5 = -1. Factor 4*u**3 - 2 - 1 - 2*u**5 - 1 + k*u**2 - 6*u + 4*u**3.
-2*(u - 2)*(u - 1)*(u + 1)**3
Let g be (-4)/24 - (-14)/12. Let j = g - 1. Suppose 1/2*u + 0*u**2 + j - 1/2*u**3 = 0. Calculate u.
-1, 0, 1
Let f(v) be the first derivative of 21/2*v**4 + 4*v**2 + 2 - 18/5*v**5 + 0*v - 32/3*v**3. Suppose f(i) = 0. What is i?
0, 2/3, 1
Factor 2/9*k + 2/3*k**3 + 0 - 2/3*k**2 - 2/9*k**4.
-2*k*(k - 1)**3/9
Factor -2/3*c**2 + c + 2/3.
-(c - 2)*(2*c + 1)/3
Let g = -18 + 13. Let o be 56/12 - (-3 - g). Factor -o*j**3 - 4/3*j + 2/3 - 14/3*j**2.
-2*(j + 1)**2*(4*j - 1)/3
Let w be (-3)/9*0 - -2. Factor -2*m - m**w + 4*m**3 + 15*m**2 - 7*m**4 - 7*m**4 - 2*m.
-2*m*(m - 1)*(m + 1)*(7*m - 2)
Let a(f) be the third derivative of f**10/151200 + f**4/12 - 3*f**2. Let j(h) be the second derivative of a(h). Determine w, given that j(w) = 0.
0
Factor 0*i**2 + 1/8*i**4 + 0 + 3/8*i**5 + 0*i - 1/4*i**3.
i**3*(i + 1)*(3*i - 2)/8
Factor -13*i**2 + 22 + 19 - 11*i - 62 + 23.
-(i + 1)*(13*i - 2)
Suppose o + q = 1, -o = 3*o - 5*q - 31. Find a, given that 5*a**3 - 4*a**3 - 4*a**3 - a**o - 2*a**2 = 0.
-2, -1, 0
Let b be 0*((-10)/4 + 3). Let u be 0 + b + (0 - -2). What is z in -2*z**u + 1 + 19*z**3 + z**4 - 19*z**3 = 0?
-1, 1
Factor 0*m**4 - 2/3*m**3 + 0*m**2 + 0 + 2/3*m**5 + 0*m.
2*m**3*(m - 1)*(m + 1)/3
Let y(m) = -189*m**2 - m + 1. Let k be y(1). Let b be (-4)/14 - 96/k. Factor b*v**3 + 2/9*v**2 - 2/9 - 2/9*v.
2*(v - 1)*(v + 1)**2/9
Let t(r) be the third derivative of -r**5/210 + r**4/42 - 19*r**2. Find q, given that t(q) = 0.
0, 2
Let w be -10 - -10 - (1 - 4). Let g(z) be the first derivative of -w + 0*z + 1/15*z**5 + 0*z**4 - 1/3*z**2 - 1/3*z**3. Factor g(f).
f*(f - 2)*(f + 1)**2/3
Factor -24*y**5 + 2*y**2 + 2*y**3 + 5*y**3 + 4*y**3 + 16*y**4 + 31*y**5.
y**2*(y + 1)**2*(7*y + 2)
Let d(q) = q**2 + 6*q - 11. Let i be d(-8). Factor i*c**3 - c**3 - 2*c**3 - 3*c**3 - c**2.
-c**2*(c + 1)
Let v = -5 - -7. Let b(n) be the first derivative of -1/10*n**5 - 1/2*n**v + 1/2*n - 2 + 1/4*n**4 + 0*n**3. Factor b(z).
-(z - 1)**3*(z + 1)/2
Let n(o) be the second derivative of -o**6/20 + o**5/4 - o**4/24 - o**3/2 - 34*o. Factor n(h).
-h*(h - 3)*(h - 1)*(3*h + 2)/2
Suppose 6 + 7 = 5*l - r, -3*l + 9 = -r. Factor -3*g**l + 5*g + 2*g**5 - 5*g + 2*g**4 - 2*g**3 + g**2.
2*g**2*(g - 1)*(g + 1)**2
Let b(z) = z**4 + 4*z**3 - 4*z**2 - 10*z + 7. Let y(s) = 3*s**4 + 12*s**3 - 13*s**2 - 29*s + 20. Let w(d) = -14*b(d) + 4*y(d). Solve w(h) = 0 for h.
-3, 1
Let u(w) = -w**2 + 1. Let d(b) = b**3 - 2*b**2 + 2*b + 5. Let i(p) = -4*d(p) + 20*u(p). Factor i(v).
-4*v*(v + 1)*(v + 2)
Let 0 - 1/4*s**3 + 0*s + 1/4*s**2 = 0. Calculate s.
0, 1
Suppose 2*s - 4 = 2. Factor 1/4 - 1/2*n**2 + 0*n**s + 0*n + 1/4*n**4.
(n - 1)**2*(n + 1)**2/4
Determine r so that 2/3*r**3 + 0 + 2/3*r**4 - 2/3*r**5 - 2/3*r**2 + 0*r = 0.
-1, 0, 1
Let h(b) be the third derivative of -b**5/15 - b**4/3 - 2*b**3/3 + 10*b**2. Factor h(q).
-4*(q + 1)**2
Suppose 0 = 4*z - 4 - 4. Let 5*d**z - 2 - 2*d**4 - 2*d - d**2 + 4*d**3 + 0*d**5 - 2*d**5 = 0. Calculate d.
-1, 1
Let u(k) be the third derivative of k**8/16800 - k**7/1575 + k**6/360 - k**5/150 - k**4/4 - 3*k**2. Let b(a) be the second derivative of u(a). Factor b(p).
2*(p - 2)*(p - 1)**2/5
Let q(a) be the third derivative of -a**7/210 - a**6/90 + a**5/30 + a**4/6 - 7*a**3/6 - 9*a**2. Let i(o) be the first derivative of q(o). Factor i(p).
-4*(p - 1)*(p + 1)**2
Factor 8 + 20*u - 15*u**3 - 16*u**2 + 4*u**3 - u**3.
-4*(u - 1)*(u + 2)*(3*u + 1)
Let y = 88 - 263/3. Factor -1/3*t**2 - y + 2/3*t.
-(t - 1)**2/3
Let p be ((-10)/(-3) - 2)*(-15)/(-10). Factor 0 - 6/5*h**4 + 0*h - 2/5*h**p - 2/5*h**5 - 6/5*h**3.
-2*h**2*(h + 1)**3/5
Let q = 6 - 3. Factor q - 1 + 4*s + 0*s + 0*s + 2*s**2.
2*(s + 1)**2
Suppose -2*y**2 + 3*y**5 + y**4 + 4*y**5 - 6*y**5 - 2*y**3 + 1 + y = 0. What is y?
-1, 1
Let n(v) be the first derivative of 8/15*v**5 - 1/6*v**2 - 5/4*v**4 - 8/9*v**3 - 3 + 8/9*v**6 + 0*v. Suppose n(z) = 0. Calculate z.
-1, -1/4, 0, 1
Let w(c) be the third derivative of -c**7/630 - c**6/90 - c**5/60 + c**4/18 + 2*c**3/9 + c**2. Determine k so that w(k) = 0.
-2, -1, 1
Let v(p) = -4*p**3 + 3*p**2 + 11*p + 4. Let x(k) = k**2 + k. Let u(s) = v(s) - x(s). Solve u(i) = 0 for i.
-1, -1/2, 2
Let b be 5/(-4)*(-8)/40. Factor -3/4*s**4 - 1/2*s**3 + 1/2*s**2 - b*s**5 + 1/4 + 3/4*s.
-(s - 1)*(s + 1)**4/4
Let k(r) be the third derivative of -r**7/840 - r**6/180 - r**5/120 - r**3/2 + 2*r**2. Let y(q) be the first derivative of k(q). Factor y(w).
-w*(w + 1)**2
Let t(q) be the third derivative of q**8/672 + q**7/420 - q**6/30 - q**5/15 + q**4/3 + 4*q**3/3 + q**2. Find j such that t(j) = 0.
-2, -1, 2
Let k be (-2)/1 + -6 + 2. Let j be -3 - k - (-3 + 3). Factor 1/4*f**4 + 0*f**2 - 1/4 + 1/2*f - 1/2*f**j.
(f - 1)**3*(f + 1)/4
Let s(d) be the third derivative of -2*d**7/315 - d**6/90 - d**5/120 + d**4/8 - 3*d**2. Let r(a) be the second derivative of s(a). Factor r(u).
-(4*u + 1)**2
Let d = 739/1215 - 2/243. Let d*z**2 - 9/5*z + 0 = 0. What is z?
0, 3
Factor 12*z - 20/3*z**3 + 4/3*z**4 + 0 + 4*z**2.
4*z*(z - 3)**2*(z + 1)/3
Let t(s) be the third derivative of s**8/168 + s**7/21 + 11*s**6/80 + s**5/6 + s**4/12 + 3*s**2. Factor t(q).
q*(q + 2)**2*(2*q + 1)**2/2
Let b(p) be the first derivative of 0*p - 1/24*p**3 - 1 + 1/48*p**4 - 1/240*p**5 - 1/2*p**2. Let w(j) be the second derivative of b(j). Factor w(k).
-(k - 1)**2/4
Let o = 9/20 - 23/140. Factor 0 - o*z - 2/7*z**2.
-2*z*(z + 1)/7
Factor -2*j**3 - 4/9*j**4 + 0 - 8/9*j - 8/3*j**2.
-2*j*(j + 2)**2*(2*j + 1)/9
Let y(w) = 2*w**2 - 2*w + 2. Let q = -7 - -4. Let i(d) = 5*d**2 - 5*d + 4. Let g(o) = q*i(o) + 7*y(o). Suppose g(h) = 0. What is h?
-1, 2
Let k(s) be the second derivative of s + 0*s**5 + 1/24*s**4 + 0*s**3 - 1/8*s**2 + 0 - 1/120*s**6. Solve k(t) = 0.
-1, 1
Let g = -2 - -6. Let -g*s**2 - s - 7 + 7 + 3*s**2 = 0. What is s?
-1, 0
Factor -245/6 - 5/6*b**2 + 35/3*b.
-5*(b - 7)**2/6
Factor 24/11*b + 2/11 + 72/11*b**2.
2*(6*b + 1)**2/11
Let u = 9 -