 y.
-1, 0, 1
Let q(o) be the second derivative of -o**6/6 + 5*o**4/6 - 5*o**2/2 - 7*o. Factor q(j).
-5*(j - 1)**2*(j + 1)**2
Factor 20/3*m**3 - 24*m**2 + 36*m - 18 - 2/3*m**4.
-2*(m - 3)**3*(m - 1)/3
Suppose 0 = -4*p + 4*g + 4, -2*p - 2*g + 22 = 2*p. Let u be 32/12 - (p - 2). Factor -d - u*d**2 - 1/3.
-(d + 1)*(2*d + 1)/3
Factor 3*m**2 - m**2 - m**2 - 5*m**2 - 4 - 8*m.
-4*(m + 1)**2
Let b(u) be the first derivative of u**5 + 5*u**4/2 - 5*u**2 - 5*u - 5. Factor b(y).
5*(y - 1)*(y + 1)**3
Determine o, given that 7/2*o - 1/2*o**3 + 0*o**2 - 3 = 0.
-3, 1, 2
Let v = -46/45 + 371/360. Let h(u) be the third derivative of 0 - v*u**6 + 1/48*u**5 + 4*u**2 + 0*u + 1/840*u**7 + 0*u**3 - 1/48*u**4. Solve h(c) = 0 for c.
0, 1, 2
Let k(g) be the second derivative of g**7/1260 + g**6/270 + g**5/180 + g**3/2 + g. Let j(n) be the second derivative of k(n). Let j(m) = 0. What is m?
-1, 0
Suppose -j + 1 = -1. Solve 2*d**3 - d + j*d**2 + d = 0.
-1, 0
Let j(t) be the first derivative of t**6/60 + t**5/30 + 5*t**2/2 - 3. Let f(g) be the second derivative of j(g). Suppose f(y) = 0. Calculate y.
-1, 0
Suppose 54 - 9 = 3*r. Let s = -13 + r. Factor 5/2*x**s - 3/2*x - 1.
(x - 1)*(5*x + 2)/2
Suppose -5*c + 32 = -c. Factor h**2 - 5*h**3 + h**2 - h**5 + c*h**3 + 0*h**5.
-h**2*(h - 2)*(h + 1)**2
Let v(k) = -k**2 + 5. Let c be v(-17). Let z be 2/(-8) - c/112. Factor -2/7 - 32/7*q**3 - z*q**2 + 2*q.
-2*(q + 1)*(4*q - 1)**2/7
Find b, given that -6*b**4 + 6*b**2 + 3*b + b**4 + 4*b**4 - 5*b**4 - 3*b**5 = 0.
-1, 0, 1
Let c(y) = -9*y**2 + 6*y - 1. Let i(u) = -10*u**2 + 5*u. Let w(b) = -5*c(b) + 4*i(b). Find o, given that w(o) = 0.
1
Let x = -14 + 85/6. Let c = 67/42 - x. Factor -8/7 - 2/7*g**3 - c*g**2 - 16/7*g.
-2*(g + 1)*(g + 2)**2/7
Suppose 7*x - 2*x = 55. Suppose 0*b + r - 11 = -5*b, -b = -2*r - x. Find z such that 2/3*z**b - 1/3*z**2 + 0*z - 1/3*z**4 + 0 = 0.
0, 1
Let b(c) be the second derivative of c**7/980 + c**6/315 - c**5/84 - c**4/42 - c**3/3 - 6*c. Let p(r) be the second derivative of b(r). Factor p(n).
2*(n - 1)*(n + 2)*(3*n + 1)/7
Let k(r) be the first derivative of -2*r**6/39 + 6*r**5/65 - 2*r**3/39 + 8. Determine p so that k(p) = 0.
-1/2, 0, 1
Let x(j) be the third derivative of -j**6/450 - j**5/100 - j**4/60 - 2*j**3/3 - 2*j**2. Let g(i) be the first derivative of x(i). Let g(c) = 0. What is c?
-1, -1/2
Let r(g) = -g**2 + 1. Let c be r(-3). Let x be ((-3)/c)/((-9)/(-6)). Factor 1/4*h**4 + x*h**3 + 0 + 0*h**2 + 0*h.
h**3*(h + 1)/4
Let u = 12 - 5. Suppose 2*v - u*v = -20. Factor 0*t**2 + 0 + 0*t + 2/7*t**3 + 2/7*t**v.
2*t**3*(t + 1)/7
Let c(m) = -5*m**5 + 2*m**4 - 7*m**3 - 2*m**2 + 4*m - 4. Let a(z) = -11*z**5 + 4*z**4 - 16*z**3 - 4*z**2 + 9*z - 9. Let j(g) = -4*a(g) + 9*c(g). Factor j(h).
-h**2*(h - 2)*(h - 1)*(h + 1)
Let o(y) be the first derivative of -y**4/12 - 2*y**3/9 - y**2/6 - 8. Factor o(j).
-j*(j + 1)**2/3
Let f(q) be the third derivative of -q**8/672 - q**7/420 + q**6/240 + q**5/120 + 14*q**2. Factor f(p).
-p**2*(p - 1)*(p + 1)**2/2
Let y(i) be the second derivative of 0 + 5*i - i**3 + 49/8*i**6 - 357/40*i**5 + 19/4*i**4 + 0*i**2. Factor y(p).
3*p*(5*p - 2)*(7*p - 2)**2/4
Let 0 + 2*l**2 - 2*l - 1/2*l**3 = 0. What is l?
0, 2
Let g(u) be the first derivative of -u**9/12096 + u**7/3360 + u**3/3 + 3. Let j(v) be the third derivative of g(v). Suppose j(s) = 0. Calculate s.
-1, 0, 1
Let u(k) be the second derivative of 0*k**6 - k + 0*k**2 + 1/126*k**7 + 0*k**4 + 0*k**3 - 1/60*k**5 + 0. Let u(r) = 0. Calculate r.
-1, 0, 1
Suppose 2*s - 18 = -3*a, -4*s = -2*a + 19 + 9. Let g be 1 + 3*a/(-36). Factor 0 + 4/3*h**3 + g*h - 5/3*h**2.
h*(h - 1)*(4*h - 1)/3
Let x(p) be the third derivative of p**7/840 - p**5/40 - p**4/24 - 2*p**2. Let a(g) be the second derivative of x(g). Factor a(o).
3*(o - 1)*(o + 1)
Let h = 7 + -3. Solve -h*b**4 + b**4 + b**4 = 0.
0
Let h be (13 - 15)/((-4)/6). Suppose j + 2*x = -6, 5*j - 2*x - 4 - 2 = 0. What is l in -2/5*l**h + 0 + 2/5*l + j*l**2 = 0?
-1, 0, 1
Let s(v) = v**3 + 3*v**2 - 6*v - 4. Let q be s(-5). Let y be q/(-21)*4/16. Factor 0*b - 2/7*b**2 + y.
-2*(b - 1)*(b + 1)/7
Let z(l) be the second derivative of -l**4/3 + l**3/6 + 2*l. Factor z(q).
-q*(4*q - 1)
Let 36*j**3 + 2*j**2 + 3*j - 3*j + 3*j - 37*j**3 = 0. What is j?
-1, 0, 3
Let w(g) = 5*g**3 + 4*g**2 + 2*g - 3. Let q(p) = -9*p**3 - 8*p**2 - 4*p + 5. Let l(h) = 3*q(h) + 5*w(h). Factor l(y).
-2*y*(y + 1)**2
Let n = -104 + 6241/60. Let k(l) be the third derivative of -3*l**2 - 1/105*l**5 + 0*l**3 + 0 - n*l**6 + 0*l + 0*l**4. Factor k(t).
-2*t**2*(7*t + 2)/7
Let p(f) be the first derivative of 1/13*f**2 - 6 - 1/26*f**4 + 0*f**3 + 0*f. Solve p(o) = 0.
-1, 0, 1
Let j(g) be the second derivative of g**6/10 - 9*g**5/10 + g**4/4 + 12*g**3 + 24*g**2 + 7*g. Suppose j(d) = 0. What is d?
-1, 4
Let y(h) be the third derivative of -1/24*h**4 + 0*h + 1/60*h**5 - 1/3*h**3 + 0 - 4*h**2. Factor y(s).
(s - 2)*(s + 1)
Suppose -3*b + 16 + 12 = 4*i, -b + 4*i - 12 = 0. Suppose -o - 17 = -5*x, -4*o + 0*x = -2*x - b. Factor 4*j**4 - j**5 - 6*j**3 - o*j + 2*j - 8*j**4 - 4*j**2.
-j*(j + 1)**4
Let h be (2 - (-2 - -2)) + 0. Factor 0*m - 16*m - 3*m**h - 27 - 2*m.
-3*(m + 3)**2
Let o**3 + 2*o - o**5 + 0*o**2 - o**4 - 2*o**3 + 3*o**2 - 2*o**4 = 0. What is o?
-2, -1, 0, 1
Factor r**2 + 4*r**2 - 2*r - 4*r**2 + r**2.
2*r*(r - 1)
Let m(p) be the second derivative of -p**7/84 + p**5/40 - 6*p. Factor m(b).
-b**3*(b - 1)*(b + 1)/2
Let x(g) = -g + g + 3*g + 1 - g. Let i be x(2). Let 0*s + 0*s**2 + 1/2*s**i - s**4 + 1/2*s**3 + 0 = 0. Calculate s.
0, 1
Let d(s) be the second derivative of s**7/210 + s**6/75 - 2*s**5/25 + s**4/30 + 7*s**3/30 - 2*s**2/5 - 3*s. Solve d(k) = 0 for k.
-4, -1, 1
Let o be -1 + (4848/(-513))/(-8). Let z = o - -5/19. Factor 2*h**3 + 4/9 - z*h**2 - 2*h.
2*(h - 1)*(h + 1)*(9*h - 2)/9
Find v, given that -4*v + 42*v**2 + 20*v + 20*v**3 + 6*v**2 = 0.
-2, -2/5, 0
Let b = 95/517 - 1/517. Solve 6/11*c + b*c**2 + 0 = 0.
-3, 0
Let n(c) = 2*c**4 - 3*c**3 + c - 1. Let o(s) = -s**3 - s + 1. Let t be 5/(-4 + 2 - -3). Suppose t = -5*p - 0. Let b(u) = p*n(u) - o(u). Factor b(m).
-2*m**3*(m - 2)
Suppose b + 4 = 2*p, b - 4*b + 12 = 2*p. Let m be (-7)/(-28) + b/24. Factor -2/3*k**4 + 0*k + 0 + m*k**2 + 1/3*k**3.
-k**2*(k - 1)*(2*k + 1)/3
Let s(r) be the third derivative of r**8/2240 + r**7/315 + r**6/240 - r**5/60 + 7*r**4/24 - 7*r**2. Let a(b) be the second derivative of s(b). Solve a(l) = 0.
-2, -1, 1/3
Let o be (-15)/(-9) + 1/3. Factor -2*q**2 - o*q + q + q + q**3 + q.
q*(q - 1)**2
Let g = -13 - -7. Let d(r) = -r**2 - 6*r + 3. Let q be d(g). Factor -20/7*k**q - 2/7*k**5 + 10/7*k**4 + 2/7 - 10/7*k + 20/7*k**2.
-2*(k - 1)**5/7
Let g(s) be the third derivative of 0 + 0*s - 3*s**2 - 7/30*s**5 - 5/12*s**4 + 2/3*s**3. Factor g(p).
-2*(p + 1)*(7*p - 2)
Suppose 0*l + 5*l + 10 = 0. Let y = l - -2. Find p, given that 2 + y*p**2 + p**2 - 4*p + p**2 = 0.
1
Factor 0 - 1/7*m**4 + 0*m - 2/7*m**2 - 3/7*m**3.
-m**2*(m + 1)*(m + 2)/7
Let -13*b**2 - 2*b + 28*b**2 - 14*b**2 = 0. Calculate b.
0, 2
Let v(x) be the third derivative of -x**5/180 + 7*x**4/36 - 13*x**3/18 - 19*x**2. Factor v(u).
-(u - 13)*(u - 1)/3
Let x(c) be the first derivative of 4*c**4 - 2*c**2 - 2 + 2*c**5 + 0*c + 2/3*c**3. Factor x(o).
2*o*(o + 1)**2*(5*o - 2)
Let c be (-36)/(-15) + (-42)/105. Factor 1/5*y**3 + 0 + 0*y**4 + 0*y - 1/5*y**5 + 0*y**c.
-y**3*(y - 1)*(y + 1)/5
Let i(g) be the third derivative of -7*g**7/225 + 7*g**6/900 + 4*g**5/45 - 4*g**4/45 + 12*g**2. Suppose i(x) = 0. What is x?
-1, 0, 4/7
Suppose 12 = g + 3*g. Solve -5*n**2 + 31*n**4 + 39*n**4 - 35*n**2 + 22*n**g + 8*n = 0 for n.
-1, 0, 2/7, 2/5
Let v(l) be the first derivative of 0*l**4 + 0*l + 0*l**2 + 1 + 1/5*l**5 - 1/3*l**3. Factor v(i).
i**2*(i - 1)*(i + 1)
Find q, given that 0*q**2 - 12*q**3 - 3*q**2 + 12*q**5 - 12*q**4 + 15*q**4 = 0.
-1, -1/4, 0, 1
Let c = -1648/3 + 552. Factor -c*n + 2 + 2/3*n**2.
2*(n - 3)*(n - 1)/3
Let g(h) = 11*h - 62. Let t be g(6). Let x(p) be the first derivative of 2/5*p**5 + 0*p + 0*p**3 - 2 + 0*p**2 + 0*p**t. Factor x(c).
2*c**4
Let o(t) be the third derivative of 0*t + 1/30*t**5 + 0*t**4 + 0 + 0*t**3 - 3*t**2. Find d such that o(d) = 0.
0
Suppose f + 2*f = -2*f. Let j(m) be the first derivative of -1/6*m**4 + 2/9*m**3 + 0*m**2 - 3 + f*m. Let j(x) = 0. Calculate 