 2025*g - 10131. Let w(j) = j**3 + j**2 - 1. Let c(u) = 6*w(u) - x(u). Suppose c(m) = 0. Calculate m.
-15
Let z be (0 - -3)*(34/(-36) - -1). Factor z*a**3 + 1/6*a**2 + 0 + 0*a.
a**2*(a + 1)/6
Suppose 8*v - 3*v**3 - 5*v**3 + 0*v**3 - 17 + 13 + 4*v**4 = 0. Calculate v.
-1, 1
Let a be ((-3)/(-2))/((-3)/(-4)). Suppose -52 = -16*k - 4. Factor 1/2*h**a + h**k + 0*h + 0.
h**2*(2*h + 1)/2
Find r, given that -5 - 5 - 3*r**2 + 6 - r**2 + 8*r = 0.
1
Let s(d) be the third derivative of 3/110*d**5 + 0*d - 7/132*d**4 - 2/33*d**3 + 0 + 4*d**2. Find c such that s(c) = 0.
-2/9, 1
Let x = 14 + -209/15. Let p(d) be the second derivative of -1/5*d**5 + 0*d**3 + 0*d**4 + 0*d**2 + x*d**6 + 0 - d. Let p(o) = 0. What is o?
0, 2
Let s(x) be the second derivative of 1/36*x**4 + 0 + 0*x**5 - 1/180*x**6 + 0*x**3 + 2*x - 1/12*x**2. Determine a so that s(a) = 0.
-1, 1
Suppose 0 = -2*a + 2*c + 4, -3*c + 4*c = -3*a + 18. Suppose -z = 3*f - a*f - 16, 0 = 3*z + f - 20. Find n such that -4*n**2 + 2*n**4 - z*n + 8*n + 2 = 0.
-1, 1
Let d(s) be the first derivative of -5*s**3 - s + 8 + 7/2*s**2 + 9/4*s**4. Suppose d(o) = 0. What is o?
1/3, 1
Suppose -3*t = 12, 8*n - 19 = 3*n + t. Let w(r) be the first derivative of 0*r**2 + 1 + 4/15*r**n - 2/25*r**5 - 2/5*r + 0*r**4. Factor w(j).
-2*(j - 1)**2*(j + 1)**2/5
Let z be 35/10 + 6/(-12). Factor -2/9*y + 2/9*y**4 + 2/9*y**z - 2/9*y**2 + 0.
2*y*(y - 1)*(y + 1)**2/9
Let q = 204533/11577 + -2/3859. Let g = 19 - q. Factor 4/3*k - g - 1/3*k**2.
-(k - 2)**2/3
Factor 0 + 0*f + 2/5*f**3 - 2/5*f**4 + 0*f**2.
-2*f**3*(f - 1)/5
Let k(a) be the second derivative of 0*a**2 + 1/6*a**4 - 1/3*a**3 - a + 0. Factor k(d).
2*d*(d - 1)
Let r be (-15)/90*3*(-3 + 2). Determine s so that r*s - 1/4 - 1/4*s**2 = 0.
1
Let z = -181/44 - -103/11. Factor 9*i**2 - z*i**3 - 9/4*i - 3/2.
-3*(i - 1)**2*(7*i + 2)/4
Let g be 6/10*(0 + 10). Find q such that g*q**3 + 8*q - 4 - 32*q**2 + 14*q + 8*q**3 = 0.
2/7, 1
Let g = -1195 + 286801/240. Let f(n) be the third derivative of 0*n + n**2 + 1/60*n**5 + 0*n**3 - g*n**6 - 1/48*n**4 + 0. Factor f(t).
-t*(t - 1)**2/2
Suppose 0 = 3*b - 12 + 6. Suppose -c = 4*n - 14, 0 = 3*c + b*c + 3*n - 19. Factor 1/4*w**3 - 3/4*w**4 - w**5 + 0*w + 0*w**c + 0.
-w**3*(w + 1)*(4*w - 1)/4
Let x(a) = a**2 + 18*a - 10. Let m be x(-16). Let k = 45 + m. Suppose 4/3*q**k + 8/3 - 2*q**2 + 2/3*q**4 - 8/3*q = 0. Calculate q.
-2, 1
Suppose 2*g - 8 = -2*g + f, 4*g + 4*f - 28 = 0. Factor -9*b**2 - 3*b**3 + 3*b + 21*b**4 + 12*b**g - 24*b**4.
-3*b*(b - 1)**3
Let l be (-3)/(4/(4 + -8)). Let n(t) be the first derivative of 2*t - t**2 - 1 - 2/3*t**l + 1/2*t**4. Factor n(q).
2*(q - 1)**2*(q + 1)
Let i(u) be the second derivative of 1/70*u**7 + 0*u**3 + 0*u**4 + 3/100*u**5 + 0 + 0*u**2 + 1/25*u**6 - u. Let i(n) = 0. What is n?
-1, 0
Let s(m) be the first derivative of 1/6*m**3 + 0*m**2 + 2 - 1/2*m. Let s(i) = 0. What is i?
-1, 1
Let g(m) be the first derivative of 5*m**4 + 4*m**3 - 24*m**2 + 16*m - 6. Factor g(f).
4*(f - 1)*(f + 2)*(5*f - 2)
Let z = 11 - 8. Determine t, given that 2*t**4 + 0*t**4 - t**4 + 2*t**z + t**2 = 0.
-1, 0
Solve -1/3 + 0*d + 1/3*d**2 = 0.
-1, 1
Let u(o) be the third derivative of o**6/120 + o**5/15 + o**4/8 + 15*o**2. Factor u(c).
c*(c + 1)*(c + 3)
Let i(x) = 10*x**2 + 15*x - 25. Let r(b) = -b**2 - b + 2. Let c(n) = -i(n) - 5*r(n). Factor c(h).
-5*(h - 1)*(h + 3)
Let l(w) be the second derivative of w**5/60 - w**4/36 + 5*w. Find q such that l(q) = 0.
0, 1
Let d be (-9)/21 + (-93)/(-21). Factor 1/3*k**d - 2*k**3 - 8/3*k + 4*k**2 + 0.
k*(k - 2)**3/3
Factor -3/8*a - 1/8*a**2 + 1/2.
-(a - 1)*(a + 4)/8
Factor -4*v**4 + 8*v**3 + 4/5*v**5 - 8*v**2 - 4/5 + 4*v.
4*(v - 1)**5/5
Let y(c) be the third derivative of -1/120*c**6 + 0*c + 0 + 0*c**5 + 2*c**2 + 0*c**4 + 0*c**3. Factor y(t).
-t**3
Let o(s) be the third derivative of -s**6/540 + s**5/30 - s**4/4 - s**3/6 + s**2. Let j(g) be the first derivative of o(g). Factor j(t).
-2*(t - 3)**2/3
Let c(d) = -d**2 - 4*d - 2. Let w(l) = 5*l**2 + 20*l + 9. Suppose -54 = -5*r + 56. Let a be (-7)/(-14) - (-7)/2. Let g(y) = a*w(y) + r*c(y). Factor g(z).
-2*(z + 2)**2
Let h(j) be the first derivative of 4/3*j**3 - 12*j - 1 + 4*j**2. Determine f, given that h(f) = 0.
-3, 1
Let t(o) = o**2 - 5*o - 9. Let b be t(7). Suppose 0 = u - 5*i - 10, 4 = b*u - i - i. Determine f, given that 2/3*f**3 - 2/3*f + u*f**2 + 1/3*f**4 - 1/3 = 0.
-1, 1
Let d(k) be the first derivative of 0*k - 3 - 2/27*k**3 - 1/18*k**4 + 0*k**2. Factor d(v).
-2*v**2*(v + 1)/9
Let p(m) be the first derivative of -m**8/1200 - m**7/350 - m**6/600 + m**5/300 - m**3/3 - 3. Let t(c) be the third derivative of p(c). Solve t(r) = 0 for r.
-1, 0, 2/7
Let c(s) be the first derivative of s**4/30 - s**2/15 + 8. Factor c(h).
2*h*(h - 1)*(h + 1)/15
Let d(g) = g**3 - 5*g**2 - 7*g. Let c be d(6). Let i be (2 + c + 2)/(-1). Factor 2 - 5*a - 7*a**2 + 0 + 0*a**i.
-(a + 1)*(7*a - 2)
Let i be 2 + 2 - (-3 + 3). Let b be 8/6 + i/(-6). Determine l, given that -b*l**2 - 4/3*l - 2/3 = 0.
-1
Let h(q) be the third derivative of -q**5/60 + q**4/2 - 6*q**3 - 16*q**2. Factor h(x).
-(x - 6)**2
Factor -11*c**2 - 2*c**4 - 4*c**3 - 4*c**3 + 3*c**2.
-2*c**2*(c + 2)**2
Let l(h) = h**5 - h**4. Let i = -1 + 3. Let c(w) = -4*w**4 - 4*w**2 - i*w**5 - 3*w**4 - w + 0*w**2 + 4*w**5 - 6*w**3. Let b(y) = -c(y) + 3*l(y). Factor b(n).
n*(n + 1)**4
Let o(b) be the third derivative of b**9/3024 - b**8/420 + b**7/168 - b**6/180 - b**3/2 - b**2. Let k(p) be the first derivative of o(p). Solve k(n) = 0 for n.
0, 1, 2
Let r = 2743/3 - 912. Solve 8/3*d**2 + 2/3 - r*d - d**3 = 0 for d.
2/3, 1
Determine b so that -21*b**4 + 10*b**4 + 8 + 36*b + 22*b**2 - 19*b**4 - 19*b**3 - 7*b**5 - 10*b**3 = 0.
-2, -1, -2/7, 1
Let f(c) be the first derivative of c**7/105 + c**6/60 + c**2/2 - 2. Let r(y) be the second derivative of f(y). Factor r(o).
2*o**3*(o + 1)
Let n = 1541/2307 + -1/769. Determine t, given that -4/3*t**4 + 0*t + 0*t**2 + n*t**5 + 0*t**3 + 0 = 0.
0, 2
Let p(k) = 16*k**5 + 5*k**4 - 19*k**3 - k**2 + 14*k - 26. Let b(r) = 3*r**5 + r**4 - 4*r**3 + 3*r - 5. Let q(t) = -11*b(t) + 2*p(t). Factor q(s).
-(s - 1)**3*(s + 1)*(s + 3)
Let p(c) = 2*c**2 + c. Let t be p(1). Suppose r - 15 = 5*h + 6*r, t*h + r - 1 = 0. Factor 3*x + 3*x - h*x**2 + 0*x - 4.
-2*(x - 2)*(x - 1)
Let l(o) be the second derivative of -o**4/8 - 7*o. Factor l(r).
-3*r**2/2
Let i(m) be the first derivative of m**4/3 + 4*m**3/3 - 6*m**2 + 6*m - 7. Let y(a) be the first derivative of i(a). Factor y(d).
4*(d - 1)*(d + 3)
Suppose -m + 0 + 4 = 0. Factor 3*r**3 - 5*r**4 + r**2 - 2*r - r**5 - r**m + 5*r**4.
-r*(r - 1)**2*(r + 1)*(r + 2)
Let j(m) be the first derivative of m - 1/6*m**3 + 1 + 1/4*m**2. Factor j(y).
-(y - 2)*(y + 1)/2
Factor -1/2*k**2 + 0 + 0*k + 1/2*k**3.
k**2*(k - 1)/2
Suppose 35 = 5*y - 5*g, -4*g + 11 = y - g. Let o be (-9)/9*(-2)/y. Factor o*w - 1/4*w**2 + 0.
-w*(w - 1)/4
Let b(n) = 5*n**2 - 15*n + 10. Let v(q) = -3*q**2 + 8*q - 5. Let y(x) = 4*b(x) + 7*v(x). Suppose y(a) = 0. Calculate a.
-5, 1
Factor 0 + 6/7*q**4 + 0*q - 2/7*q**5 + 0*q**2 - 4/7*q**3.
-2*q**3*(q - 2)*(q - 1)/7
Let h(x) be the third derivative of x**9/2520 - x**8/840 - x**7/1260 + x**6/180 + 5*x**4/24 + 3*x**2. Let w(o) be the second derivative of h(o). Factor w(t).
2*t*(t - 1)**2*(3*t + 2)
Solve 486*b**2 + 4 - 72*b + 6561/4*b**4 - 1458*b**3 = 0 for b.
2/9
Let m = 47/8 - 41/8. Solve 3/2*t - 3/4*t**2 - m = 0.
1
Suppose 0 = -4*m + 5*g - 5, -m = g - 0*g - 10. Let r(h) be the first derivative of -1/4*h**4 - 2 + 0*h**3 + 1/12*h**6 + 0*h + 1/4*h**2 + 0*h**m. Solve r(i) = 0.
-1, 0, 1
Let f(x) = 15*x**5 - 15*x**4 - 9*x**3 + 16*x**2 + 15*x - 1. Let r(h) = -7*h**5 + 7*h**4 + 5*h**3 - 8*h**2 - 7*h + 1. Let s(q) = -3*f(q) - 7*r(q). Factor s(p).
4*(p - 1)**3*(p + 1)**2
Let f be (5 + -2 - 1)/(0 - -2). Let w(s) be the first derivative of -1/14*s**4 - f - 16/7*s - 12/7*s**2 - 4/7*s**3. Factor w(p).
-2*(p + 2)**3/7
Let f be 1 + 9/(-7) - 2336/(-4599). Determine v so that -f - 2/9*v**2 + 4/9*v = 0.
1
Let a = 3 + -3. Let d be (-6)/16 - (-442)/624. Factor d*p + a - 1/3*p**2.
-p*(p - 1)/3
Let g(b) be the first derivative of 1/6*b**4 + 1 + 4/9*b**3 + 1/3*b**2 + 0*b. What is w in g(w) = 0?
-1, 0
Let i(w) be the first derivative of 4*w**5/5 - 5*w**4 + 12*w**3 - 14*w**2 + 8*w + 7. Factor i(z).