 - 1)*(d + 3)*(2*d - 1)/3
Suppose 0 = 12*j - 86 + 62. Factor 3 + 3/2*z**5 + 0*z**4 - 6*z**3 + 9/2*z - 3*z**j.
3*(z - 2)*(z - 1)*(z + 1)**3/2
Suppose -14 = 3*q + 1. Let b be (-2)/(-5)*q/(-8). Factor b*t**2 - 1/4*t - 1/4 + 1/4*t**3.
(t - 1)*(t + 1)**2/4
Let j be 0*(-2 - (-15)/6). Find k such that 1/2*k**3 + j + 0*k + k**2 = 0.
-2, 0
Let w = -32 + 129/4. Factor 1/4*m**5 - 1/4*m**3 - w*m**2 + 1/4*m**4 + 0 + 0*m.
m**2*(m - 1)*(m + 1)**2/4
Let u(a) = a**2 - 26*a + 6. Let i(w) = -2*w**2 + 27*w - 7. Let m(g) = -6*i(g) - 7*u(g). Let m(d) = 0. Calculate d.
-4, 0
Suppose 10*c - 45 = 5. Factor 15/4*x**2 + 3/8*x**c + 15/8*x + 15/8*x**4 + 15/4*x**3 + 3/8.
3*(x + 1)**5/8
Let v be ((-1)/(5/10))/(-15). Let x(r) be the first derivative of 0*r - 1 - 2/5*r**2 + v*r**3. Factor x(h).
2*h*(h - 2)/5
Let i(u) = u - 1. Let w(l) = -5*l**3 + 10*l**2 + l - 6. Let y(c) = 6*i(c) - w(c). Solve y(a) = 0.
0, 1
Let c = 42 - 39. Let k(z) be the third derivative of 0*z - 1/150*z**6 + 1/60*z**4 + 1/840*z**8 + 0*z**5 + 0 + 0*z**7 + z**2 + 0*z**c. Factor k(x).
2*x*(x - 1)**2*(x + 1)**2/5
Let x(h) = h**4 - h**3 - 1. Let i be (-150)/54 - 2/9. Let y(v) = -12*v**4 + 3*v**3 + 15*v**2 - 6*v - 3. Let r(u) = i*x(u) + y(u). Find o such that r(o) = 0.
-1, 0, 2/5, 1
Let h be (-1)/5 - 11/(-5). Let p = -4 - -4. Suppose -1/4*s**h - 1/2*s + p = 0. What is s?
-2, 0
Let u(s) = 2*s**2 - 3*s - 3. Let w be u(3). Suppose -14 - w = -5*m. Solve -2*l**m - 4*l + 4*l + 2*l**2 = 0 for l.
-1, 0, 1
Let p = -1 + 4. Let z be (p/4)/((-1)/(-4)). Suppose -3*j + j - 3*j**2 + 5*j**4 - 2*j**2 + 2*j**z = 0. Calculate j.
-1, -2/5, 0, 1
Let w(x) = 2*x**3 - 7*x**2 + 11. Let o(n) = n**2 - 1. Let d(p) = -22*o(p) - 2*w(p). Factor d(a).
-4*a**2*(a + 2)
Let o be 4 - 1/(1 + -2). Let t = -18/7 + 68/21. Find a such that 0*a**2 + 0 - 2/9*a**3 + t*a**o + 0*a - 4/9*a**4 = 0.
-1/3, 0, 1
Factor 16*m + 34 + 2 - 20*m**2 + 4*m**3 - 4*m.
4*(m - 3)**2*(m + 1)
Let i = 29/6880 + 4/645. Let p(w) be the third derivative of 1/240*w**5 + 0*w**3 + i*w**4 + w**2 + 0 + 0*w. Find q, given that p(q) = 0.
-1, 0
Let j(d) be the second derivative of -2*d - 1/7*d**3 - 1/70*d**5 + 0 - 1/14*d**4 - 1/7*d**2. Factor j(k).
-2*(k + 1)**3/7
Let z be 6*25/90 + (-2)/(-6). Solve -8/5 - 16/5*s**z - 36/5*s = 0.
-2, -1/4
Let v(d) = -d**2 + 6*d + 10. Let x be v(7). Suppose -y = x*m - 15, -3*m + 2*y = -y - 15. Factor 0 + 1/3*h**m + 0*h**2 + 0*h + 0*h**4 + 0*h**3.
h**5/3
Let x = -29 - -47. Factor -12*l + x*l**4 + 35*l**2 - 39*l**3 - l**5 - 2*l**5 + l**2.
-3*l*(l - 2)**2*(l - 1)**2
Let f(b) be the third derivative of 1/9*b**3 + 0*b + b**2 + 1/90*b**5 + 0 - 1/18*b**4. Factor f(i).
2*(i - 1)**2/3
Factor -5/3*z**3 + 1/3*z**4 - 7/3*z + 3*z**2 + 2/3.
(z - 2)*(z - 1)**3/3
Factor 27*g**2 - 24*g**2 + 3*g - 6 + 0.
3*(g - 1)*(g + 2)
Suppose -3*d + 12 = -5*d. Let x be 3/d - 1/(-2). Factor 2/3*s**3 + x + 2/3*s**2 + 0*s.
2*s**2*(s + 1)/3
Let a(v) be the first derivative of 0*v - 1/5*v**5 - 1/2*v**4 + 0*v**2 - 4 - 1/3*v**3. Determine p, given that a(p) = 0.
-1, 0
Let s be (-9)/(-4) + (-3)/12. Suppose z = s*z - 3. Factor 2*k**3 - k**z - k - 4*k**2 + k**4 + 3*k**2.
k*(k - 1)*(k + 1)**2
Let s(h) = h**3 + 4*h**2 + 2*h + 3. Let w be s(-4). Let g(x) = -x**2 - 4*x + 5. Let a be g(w). Suppose 1/3*f - 2/3*f**2 + a + 1/3*f**3 = 0. Calculate f.
0, 1
Factor 103*q**2 + 37 - 28*q**2 - 120*q + 11.
3*(5*q - 4)**2
Let m(j) = -j**2 + 2. Let r be m(0). Suppose 0 = -r*y - 2*y + 8. Determine a, given that -4 + 2*a**2 + 2 - 2*a**4 + y*a**2 = 0.
-1, 1
Let d(q) be the first derivative of q**5/90 + q**4/54 - q**3/27 - q**2/9 + q - 4. Let p(v) be the first derivative of d(v). Determine k, given that p(k) = 0.
-1, 1
Let i(z) = -z**2 - 3*z + 4. Let q be i(-3). Factor 4 - 2*k**2 - 2*k**3 - 5*k**2 + k**3 + q*k**2.
-(k - 1)*(k + 2)**2
Let -3/2*x**3 + 0*x + x**2 + 0 = 0. What is x?
0, 2/3
Let x(h) be the first derivative of -h**4/2 + 2*h**3/3 + h**2 - 2*h + 26. Determine d, given that x(d) = 0.
-1, 1
Let l(a) be the third derivative of a**6/60 - a**5/30 - 7*a**2. Factor l(n).
2*n**2*(n - 1)
Let p(q) = -q**4 - q. Let d(n) = 4*n**5 - 10*n**4 + 4*n**3 - 2*n. Let a(k) = -d(k) + 2*p(k). Factor a(c).
-4*c**3*(c - 1)**2
What is k in -25/3*k**4 - 5/3*k**5 + 0 - 35/3*k**2 - 15*k**3 - 10/3*k = 0?
-2, -1, 0
Let i = -184/3 + 62. Let p = 171 - 169. Factor -j**4 - 1/3*j**5 - i*j**3 + 2/3*j**p + j + 1/3.
-(j - 1)*(j + 1)**4/3
Let n(t) = t + 11. Let o be n(-8). Let h(a) = a - 3. Let u be h(o). Find v, given that 2/5*v**3 + 4/5*v**2 + 0 + u*v = 0.
-2, 0
Factor 3*j**2 + 25*j**2 - 8*j**2 - 5*j**4.
-5*j**2*(j - 2)*(j + 2)
Let l(t) be the first derivative of t**4/2 - t**2 + 10. Factor l(w).
2*w*(w - 1)*(w + 1)
Let i = 374/651 + -2/651. Suppose -2/7*o**5 - 2/7 - 4/7*o**3 + 6/7*o - i*o**2 + 6/7*o**4 = 0. What is o?
-1, 1
Let v(t) be the second derivative of t**5/180 - t**3/18 + t**2/2 - 3*t. Let g(p) be the first derivative of v(p). Factor g(d).
(d - 1)*(d + 1)/3
Let v(x) = -x**3 + 11*x**2 - 11*x + 12. Let c be v(10). Factor 311 + 3*y**3 - y**5 + y**4 - y**2 - c*y - 311.
-y*(y - 2)*(y - 1)*(y + 1)**2
Let r(m) be the second derivative of m**8/3360 + m**7/840 - m**5/120 - m**4/48 - 5*m**3/6 - 2*m. Let k(v) be the second derivative of r(v). Factor k(n).
(n - 1)*(n + 1)**3/2
Let o(b) be the first derivative of -3/20*b**4 - 3 + 4/25*b**5 + 0*b - 1/30*b**6 - 4/15*b**3 + 2/5*b**2. Suppose o(m) = 0. What is m?
-1, 0, 1, 2
Let n = 324/95 + -42/19. Factor 8/5*y**3 + 0 + 0*y - n*y**4 - 2/5*y**2.
-2*y**2*(y - 1)*(3*y - 1)/5
Suppose 7*i - 16 - 19 = 0. Let m = -4 - -6. Factor 0 + 6/7*r**i + 4/7*r**2 + 16/7*r**4 + m*r**3 + 0*r.
2*r**2*(r + 1)**2*(3*r + 2)/7
Let g be (-2 - (-10)/6)*-15. Factor -2*r**4 + r**4 - 3*r - 4*r - 2 - 9*r**2 - g*r**3 + 0*r**2.
-(r + 1)**3*(r + 2)
Suppose -2*h + 4 = -2*w, -4*h + 2 = -6. Suppose w = 5*o - v - 5, 10 = 2*o - 2*v - 0. Factor -3/2*i**2 + 1/2*i - 2*i**3 + o.
-i*(i + 1)*(4*i - 1)/2
Let x(d) = -d**3 - d**2 - 8*d + 10. Let w(p) = p - 1. Suppose s = -3, -s = 3*r + 3*s. Suppose 0*g - 8 = -r*g. Let j(k) = g*x(k) + 18*w(k). Factor j(q).
-2*(q - 1)*(q + 1)**2
Let r = -287/4 + 72. Factor r*b**2 - 1/4*b - 1/4 + 1/4*b**3.
(b - 1)*(b + 1)**2/4
Let q(d) be the first derivative of 5*d**6/2 - 4*d**5 - 35*d**4/4 + 20*d**3/3 + 10*d**2 + 21. Determine v, given that q(v) = 0.
-1, -2/3, 0, 1, 2
Let v(a) be the third derivative of a**5/90 - a**4/36 + 9*a**2. Factor v(z).
2*z*(z - 1)/3
Let f be (30/35)/(6*1/28). Let g(r) be the first derivative of -1/2*r**f - 2 + 1/3*r**6 - 2/3*r**3 + 2/5*r**5 + 0*r + 0*r**2. Factor g(j).
2*j**2*(j - 1)*(j + 1)**2
Suppose 2*d + 3 = -5*r + 7, 2*r - 1 = -d. Let l(h) be the first derivative of -2 + 1/6*h**4 + 0*h**3 + 0*h**r + 7/15*h**5 + 0*h. Factor l(y).
y**3*(7*y + 2)/3
Suppose 0 = 2*p + 5*u + 25, 9*p - 3*u = 4*p + 15. Let i(m) be the second derivative of 3*m - 1/12*m**5 + 0 - 1/9*m**3 - 7/36*m**4 + p*m**2. Factor i(s).
-s*(s + 1)*(5*s + 2)/3
Let n(v) be the second derivative of -1/54*v**4 + 2/9*v**2 + 1/27*v**3 - 3*v + 0. Factor n(m).
-2*(m - 2)*(m + 1)/9
Let d(m) be the third derivative of -1/240*m**6 + 0*m**3 + 0 + 0*m - 1/120*m**5 - 2*m**2 + 0*m**4. Factor d(p).
-p**2*(p + 1)/2
Let i(a) be the first derivative of a**6/3 + 11*a**5/10 + 9*a**4/8 + a**3/6 - a**2/4 - 16. Factor i(k).
k*(k + 1)**3*(4*k - 1)/2
Let q(j) = 2*j**2 - 4. Let y be q(-4). Let g be (4/(-14))/((-4)/y). Suppose 4*k**2 - k**5 + 2*k**4 + g*k**3 - 4*k**4 - k**5 - 2*k**2 = 0. What is k?
-1, 0, 1
Find x, given that -x + 1/2*x**2 - 3/2 = 0.
-1, 3
Suppose -4 = -2*n - 2*i + 3*i, -2 = -n + 4*i. Solve 4 - 2 - 14*z**n - 24*z + 6 = 0 for z.
-2, 2/7
Suppose 7*g = 3*g + 8. Suppose 4*d = g*p + 2 - 10, 4*p - 16 = -3*d. Factor 0*q + d + 3/2*q**4 + q**2 + 5/2*q**3.
q**2*(q + 1)*(3*q + 2)/2
Let g(u) = u**4 + u**2 - u + 1. Let w(t) = 24*t**4 + 40*t**3 + 32*t**2 - 2*t + 6. Let r(k) = 6*g(k) - w(k). Factor r(p).
-2*p*(p + 1)**2*(9*p + 2)
Let f(c) be the second derivative of c**7/126 - c**6/90 - 5*c. Factor f(n).
n**4*(n - 1)/3
Let p(d) be the first derivative of d**8/2520 + d**7/1260 + 2*d**3/3 - 2. Let z(w) be the third derivative of p(w). Factor z(j).
2*j**3*(j + 1)/3
Suppose 5*a - 4*f - 4 = 9*a, -2*f - 4 = 0. Let m(y) be the first derivative of 0*y + 0*y**2 + 2/5*y**5 + 0*y**4 + a - 2/3*y**3. Find i, given that m(i) = 0.
-1, 0, 1
Factor 88*s - 27*s - 