**2 - 4*j**2 + 0*j**m.
3*(j - 1)*(j + 2)
Let m be 6/27 - (-2)/(-9). Suppose m = 2*c - 4 - 0. Let 2/3*l**3 - 2/3*l - 2/3 + 2/3*l**c = 0. Calculate l.
-1, 1
Let g(v) be the first derivative of v**6/60 + v**5/180 - v**4/36 - 2*v**2 + 4. Let y(l) be the second derivative of g(l). Factor y(k).
k*(2*k - 1)*(3*k + 2)/3
Factor 0 - 2/5*d**2 + 0*d.
-2*d**2/5
Let m(v) = v**2 - v + 1. Let u(o) = -o**4 + 3*o**3 - 9*o**2 + 7*o - 6. Suppose -b - 2*b = -18. Let r(g) = b*m(g) + u(g). Determine s, given that r(s) = 0.
0, 1
What is m in -2/3*m**2 + 8/9 - 8/9*m + 4/9*m**3 + 2/9*m**4 = 0?
-2, 1
Let h(l) be the first derivative of -4/27*l**6 - 14/27*l**3 + 5/9*l**2 - 2/9*l + 4 - 1/18*l**4 + 16/45*l**5. Let h(a) = 0. Calculate a.
-1, 1/2, 1
Let h = -18264 - -639381/35. Let q = -17/7 + h. Solve 14*o**4 + q*o**3 + 0 - 8/5*o**2 + 0*o = 0.
-2/5, 0, 2/7
Let a(h) = -h**3 + 4*h**2 + 8*h - 12. Let v be a(5). Suppose -3*u + 11 = -4*g + v, 4*u - g = 2. Factor u*y + 4/7*y**3 + 0 - 2/7*y**2 - 2/7*y**4.
-2*y**2*(y - 1)**2/7
Factor -3*v**2 - 20*v - 14 + 16*v**4 + 16*v**3 - 2*v**2 + 6 - 3*v**2 + 4*v**5.
4*(v - 1)*(v + 1)**3*(v + 2)
Let l(d) = -3*d**2 - 3*d - 2. Let f(m) be the second derivative of -7*m**4/12 - 7*m**3/6 - 5*m**2/2 + m. Let v(j) = -2*f(j) + 5*l(j). What is h in v(h) = 0?
-1, 0
Let p be 360/35 + (-4)/14. Suppose 5*m - p + 0 = 0. Factor -3*v - v**2 + 4*v**m + 2 - 2*v**2.
(v - 2)*(v - 1)
Let 1/2*x**2 + 8 - 4*x = 0. What is x?
4
What is a in 2/13*a**3 + 0 + 4/13*a**2 - 6/13*a = 0?
-3, 0, 1
Let z be -33 + 39 - (-2 - (-141)/18). Find o, given that z*o**3 + 1/6*o**2 + 0*o + 0 = 0.
-1, 0
Let p be 40/72 + ((-2)/6)/1. Factor -2/3*l + 2/3*l**2 + 2/9 - p*l**3.
-2*(l - 1)**3/9
Let c(t) = 20*t**4 - 120*t**3 + 90*t**2 - 20*t - 15. Let y(s) = 3*s**4 - 17*s**3 + 13*s**2 - 3*s - 2. Let h(i) = -2*c(i) + 15*y(i). Let h(u) = 0. What is u?
0, 1
Let c = 14 - 12. Let j = 7/3 - c. Determine f, given that 0 + 1/3*f**2 - j*f**4 + 0*f + 0*f**3 = 0.
-1, 0, 1
Let c(a) be the third derivative of -a**7/1890 + a**5/180 - a**4/108 - 13*a**2. What is w in c(w) = 0?
-2, 0, 1
Find f such that -5*f**2 - f + f**2 - f - 2*f = 0.
-1, 0
Let v be (0/(-2) + 0)*(8 - 9). Solve 0*m + 3/4*m**3 + v - 3/2*m**2 = 0 for m.
0, 2
Let n(b) be the first derivative of -b**5/90 - b**4/72 + 3*b**2/2 - 2. Let t(j) be the second derivative of n(j). Factor t(v).
-v*(2*v + 1)/3
Let h be (-40)/(-16) + (-2)/(-4). Determine z so that 4*z**h + z**2 - z**2 + 2*z**2 - 3*z**3 - z**4 = 0.
-1, 0, 2
Let n(z) be the third derivative of -z**6/360 + z**5/30 - z**4/6 - 5*z**3/6 + z**2. Let y(c) be the first derivative of n(c). Factor y(q).
-(q - 2)**2
Let p = -459 + 461. Factor 4/7 + 6/7*x**2 - p*x.
2*(x - 2)*(3*x - 1)/7
Suppose i = 3*k - 10, 0 = -4*k - k - 5*i - 10. Factor -3 + 5*b + 3*b**k + 4 - b**2 + 1.
(b + 2)*(2*b + 1)
Factor 0 + 0*j + 2/7*j**5 - 2/7*j**3 + 2/7*j**4 - 2/7*j**2.
2*j**2*(j - 1)*(j + 1)**2/7
Let q be (32/(-56))/(-2 + 8/14). Suppose -q*h - 2/5*h**2 + 0 = 0. Calculate h.
-1, 0
Let a be ((-3)/(-30))/((-33)/(-110)). Determine t, given that a*t**2 + 0 - 2/3*t**3 - t**4 + 0*t = 0.
-1, 0, 1/3
Suppose -2*q - 5 = -5*z + 5, 4*q = -20. Let j(d) be the first derivative of z*d + 1 - 1/4*d**4 + d**3 - d**2. Let j(s) = 0. Calculate s.
0, 1, 2
Factor -1/3*i**2 - i - 2/3.
-(i + 1)*(i + 2)/3
Suppose 0 = 2*r - 4*d - 0*d - 14, -3*r = 2*d - 13. Let b(m) be the second derivative of 2/3*m**2 + 1/30*m**r - 3*m + 0 + 2/9*m**4 + 5/9*m**3. Factor b(p).
2*(p + 1)**2*(p + 2)/3
Suppose 4*u = l - 5 - 18, -u - l = 2. Let r be 12/10*u/(-2). Factor -3*a**2 + a**3 - 1 + 0*a**3 - r*a + 6*a.
(a - 1)**3
Factor 7*a - 5/3*a**3 - 1/3*a**4 - 1/3*a**2 + 6.
-(a - 2)*(a + 1)*(a + 3)**2/3
What is u in -1/2*u**2 + 1/2*u + 1 = 0?
-1, 2
Let d(m) be the second derivative of -7/75*m**6 - 4/15*m**3 + 2*m - 4/5*m**2 + 1/25*m**5 + 2/105*m**7 + 11/30*m**4 + 0. Find a, given that d(a) = 0.
-1, -1/2, 1, 2
Solve 4/5*u**2 - 6/5*u**3 - 24/5*u**5 + 0*u + 0 - 34/5*u**4 = 0.
-1, -2/3, 0, 1/4
Let p = -67/15 - -24/5. Let i(w) be the first derivative of 0*w - 3/5*w**5 - 1/6*w**6 - 2 - p*w**3 - 3/4*w**4 + 0*w**2. Factor i(d).
-d**2*(d + 1)**3
Let b = -2 + 2. Suppose b = m - 5*m. Suppose m + 4*h**3 - 2*h**3 + 0 + 2*h**4 = 0. What is h?
-1, 0
Suppose 0*f + 4*f = 20. Factor f*p**4 + 2*p + 9*p**2 + 12*p**3 + 4*p - 4*p.
p*(p + 1)**2*(5*p + 2)
Suppose 4*u - 3*r = r + 16, -20 = -5*u - 2*r. Let y = u - 0. Find b such that -2*b**5 + 4*b**2 - 7*b**5 - b - 2*b**3 + 4*b**3 - 12*b**y = 0.
-1, 0, 1/3
Let w be (-127)/4 - 1/4. Let y = 35 + w. Factor -2*c**4 + 0*c - 1/2*c**y + 0 - 3/2*c**5 + 0*c**2.
-c**3*(c + 1)*(3*c + 1)/2
Suppose b = -b + 10. Determine y, given that 7*y**3 - y**b - 8*y - y**4 - 2*y**3 + 9 - 3 - 2 + y**2 = 0.
-2, 1
Let w(x) be the third derivative of x**8/30240 - x**7/11340 - x**4/24 - 3*x**2. Let h(m) be the second derivative of w(m). Factor h(d).
2*d**2*(d - 1)/9
Let w be (16/(-54))/((-42)/1305). Let v = w + -52/9. What is h in 8/7*h + 0 + 26/7*h**3 + v*h**2 + 2/7*h**5 + 12/7*h**4 = 0?
-2, -1, 0
Suppose -9*h**2 + 187*h - 2*h**4 - 6 - 171*h - 3*h**2 + 4*h**4 = 0. What is h?
-3, 1
Let v(f) be the third derivative of f**8/168 + f**7/105 + 18*f**2. Factor v(c).
2*c**4*(c + 1)
Factor -2*r + 6*r**2 - 3*r - 2*r**2 - 7*r.
4*r*(r - 3)
Let d(b) = -b**4 - b**3 - b**2 - b + 1. Let z(y) = -y**4 + 8*y**3 + 6*y**2 - 3*y + 5. Let f(p) = 10*d(p) - 2*z(p). Let f(s) = 0. Calculate s.
-2, -1, -1/4, 0
Let s be (-4)/10 + (-11)/(-15). Suppose -5*p - 5*v = 5, -6*p = -2*p + v - 5. What is j in s*j - j**p + 0 - 1/3*j**4 + j**3 = 0?
0, 1
Let s be 2/(-2) + (0 - -3). Suppose p + 0*b = -b + 7, b = 2*p - 8. What is r in r - p*r - 3 - 3*r**s - 2*r = 0?
-1
Let u(o) = -12*o**2 + 6*o - 15. Let z(s) = s**2 + 1. Let n(f) = -u(f) - 15*z(f). Find w, given that n(w) = 0.
-2, 0
Find z, given that 0 + 0*z**2 - 2/3*z**3 + 2/3*z = 0.
-1, 0, 1
Let w = -68 - -72. Determine t, given that -1/3*t**w + t**3 + 1/3*t - t**2 + 0 = 0.
0, 1
Let n(s) = s**2 - 7*s + 9. Let b be n(7). Find v such that -v + v + b*v + 12 + 3*v + 3*v**2 = 0.
-2
Let k be 8/(-32) - (-5)/18. Let z(r) be the second derivative of 0*r**3 - 1/60*r**5 + k*r**4 + 0*r**2 + 0 + r. Solve z(l) = 0.
0, 1
Suppose 8 = -2*v - 540. Let q = -1910/7 - v. Let q*s + 0 + 0*s**2 - 6/7*s**3 + 2/7*s**4 = 0. Calculate s.
-1, 0, 2
Let h be (40/(-5))/(-1 - 0). Factor 4*q**2 + h*q**2 - 9*q**2 + q**3.
q**2*(q + 3)
Let -2/3*y - 1/6*y**3 - 2/3*y**2 + 0 = 0. What is y?
-2, 0
Let a(m) be the first derivative of m**6/1620 - m**4/108 + 2*m**3 - 1. Let z(v) be the third derivative of a(v). Find f such that z(f) = 0.
-1, 1
Let i(k) = k**3 + 7*k**2 - 7*k + 11. Let z be 5/(15/(-9)) - 5. Let w be i(z). Suppose 2 + 5/2*t**2 + 6*t**w - 9/2*t**4 - 6*t = 0. What is t?
-1, 2/3, 1
Let r(s) be the third derivative of s**6/120 + s**5/30 - s**4/6 - s**3/6 + 2*s**2. Let d be r(-3). Factor 0 - 1/4*i**3 + 1/2*i**d - 1/4*i.
-i*(i - 1)**2/4
Suppose 5*w + 4*c = 15, -5*w + c = -12 - 3. What is b in 10*b**2 - 24*b - 8 - 3*b**w - 14*b**2 - 11*b**2 - 4 = 0?
-2, -1
Let a = 10 + -8. Suppose -2*u + a = -0*q - 2*q, 6 = 2*u. Find j, given that 0*j + 0*j**3 + 1/2 - j**q + 1/2*j**4 = 0.
-1, 1
Let a(l) be the third derivative of l**8/80640 - l**7/20160 - l**5/20 + 2*l**2. Let h(t) be the third derivative of a(t). Factor h(n).
n*(n - 1)/4
Suppose 2*t - 16 = -5*s, 5*s - 26 = 2*t + t. Let k be s/5*8/16. Determine f, given that 2/5*f + 0 + 4/5*f**2 + k*f**3 = 0.
-1, 0
Let x(z) be the first derivative of z**6/3 + 3*z**5/2 + 21*z**4/8 + 13*z**3/6 + 3*z**2/4 - 22. Factor x(t).
t*(t + 1)**3*(4*t + 3)/2
Let q(h) be the first derivative of 4*h**5/5 + 6*h**4 + 16*h**3 + 16*h**2 + 9. Suppose q(t) = 0. Calculate t.
-2, 0
Let x(w) = w - 7. Let r be 123/18 + (-1)/(-6). Let d be x(r). Factor 4*t**3 + t**5 + 0*t**3 + d*t**4 - t**4 - 6*t**3.
t**3*(t - 2)*(t + 1)
Suppose 3*t - 3*w + 12 = 0, -3*t - 16 = -t + 2*w. Let h be (-2)/1*9/t. Factor -7 - r**4 - r + 7 - h*r**3 - 3*r**2.
-r*(r + 1)**3
Let y(m) = 2*m + 1. Suppose 5*a + 0 + 2 = -3*r, 3*r = -3*a. Let v be y(r). Factor -2*c - 2 + 1/2*c**4 + 3/2*c**2 + 2*c**v.
(c - 1)*(c + 1)*(c + 2)**2/2
Factor -1/4*a**2 + 1/4*a**3 + 1/4*a**4 + 0 - 1/4*a.
a*(a - 1)*(a + 1)**2/4
Solve 1/4*i**5 - i**3 + 3/4*i - 1/2*i**2 + 0*i**4 + 1/2 = 0.
-1, 1, 2
Let p = 57/2 + -28. Let l(c) be the first derivative of -3 - 