j**4 + 1/3*j - 1/3 = 0. What is j?
-1, 1
Let r(d) = d**3 + 11*d**2 + 2. Let t be r(-11). Let l(o) be the first derivative of 1/2*o**4 + 4/3*o**3 - 2 + o**t + 0*o. Factor l(m).
2*m*(m + 1)**2
Let k(h) be the first derivative of 0*h**4 - 1/4620*h**7 - h**3 + 0*h**6 + 0*h**2 + 1/660*h**5 + 0*h - 3. Let g(l) be the third derivative of k(l). Factor g(i).
-2*i*(i - 1)*(i + 1)/11
Let t(l) be the third derivative of 0*l + 1/40*l**6 + 7*l**2 + 7/8*l**4 - 1/4*l**5 + 0 - 3/2*l**3. Suppose t(q) = 0. Calculate q.
1, 3
Let q(m) = -3*m**2 + 1. Let o be q(1). Let t be (o - -2) + 2 + -1. Factor 0 + 2*r**2 - r**2 - t.
(r - 1)*(r + 1)
Let w = 10 - -3. Let z = w - 38/3. Factor -z - 1/3*x**2 - 2/3*x.
-(x + 1)**2/3
Let k(u) be the second derivative of -u**4/30 - 2*u**3/5 - 9*u**2/5 - 6*u. Determine b, given that k(b) = 0.
-3
Let i(n) be the second derivative of -n**7/2100 - n**6/900 - n**3/3 - n. Let b(a) be the second derivative of i(a). Solve b(v) = 0 for v.
-1, 0
Let h = -6/13 - -25/26. Let d(j) = j**2 + 3*j - 10. Let l be d(-5). Determine x so that h*x**4 + 0 + l*x + 1/4*x**5 + 0*x**2 + 1/4*x**3 = 0.
-1, 0
Suppose 4*c = v + 6, 6*v + 6 = 2*c + 7*v. Factor -1/2*n - 3/2*n**5 + 0 - 5*n**4 - 3*n**c - 6*n**3.
-n*(n + 1)**3*(3*n + 1)/2
Let h(n) be the third derivative of n**6/30 - n**5/15 - n**4/3 + 2*n**2. Factor h(p).
4*p*(p - 2)*(p + 1)
Let a be 71/69 + -3 - -2. Let u = a - -59/345. Factor -3/5*n**3 + 3/5*n**2 + 0 + u*n**4 - 1/5*n.
n*(n - 1)**3/5
Let s be (40/(-50))/(0 - (-22)/(-5)). Factor 0*t + 0 - s*t**2.
-2*t**2/11
Let i(k) = -9*k**5 + 15*k**4 + 3*k**3 - 3*k**2 - 15*k - 12. Let c(j) = 2*j**5 - 4*j**4 - j**3 + j**2 + 4*j + 3. Let r(o) = 21*c(o) + 5*i(o). Factor r(z).
-3*(z - 1)*(z + 1)**4
Factor 2*a**3 + a**4 + 3*a**4 + 3*a**5 - a**5.
2*a**3*(a + 1)**2
Let n = 69 - 135/2. Solve -g**2 - 1/2 + n*g = 0.
1/2, 1
Let y(h) = h**5 - h**4 + h**2 + h - 1. Suppose 0 = 3*a - a - 4. Let f(x) = x**2 + x - 1. Let k(d) = a*f(d) - 2*y(d). Factor k(m).
-2*m**4*(m - 1)
Let g be (2 - 1) + 2 - 0. Factor -4*q + 1 - 2 + q**2 + q**2 + g.
2*(q - 1)**2
Let m(b) be the third derivative of 1/210*b**5 - 1/210*b**6 + 1/735*b**7 + 0 + 0*b + 0*b**3 + 9*b**2 + 0*b**4. Factor m(d).
2*d**2*(d - 1)**2/7
Let x(a) be the second derivative of 3*a**5/20 + a**4/2 - a**3/2 - 3*a**2 + a. Factor x(c).
3*(c - 1)*(c + 1)*(c + 2)
Factor -16*m - 37*m**3 + 45*m**2 + m**4 + 11*m**4 - 15*m**3 + 19*m**2.
4*m*(m - 2)**2*(3*m - 1)
Let d be (4 - (9 + -4))*2/(-4). Determine n so that -d*n**2 + 0 + 0*n = 0.
0
Let a(o) be the first derivative of -3*o**5/5 + 3*o**4/2 + 4*o**3 - 3*o**2 - 9*o - 2. Factor a(w).
-3*(w - 3)*(w - 1)*(w + 1)**2
Suppose -10*n - n + 4*n = 0. Factor -2/7*o**3 + 2/7*o + 0 + n*o**2.
-2*o*(o - 1)*(o + 1)/7
Let r = 25 + -20. Let n(o) be the first derivative of -10/3*o**3 + 2*o**r - 1/2*o**4 - 2*o**2 + 3 + o**6 + 0*o. Find b, given that n(b) = 0.
-1, -2/3, 0, 1
Let n(r) = r**2 - 16*r + 10. Let w be n(17). Let x be 2/(-1) + 66/w. Factor x*b - 2/9*b**2 - 2/9.
-2*(b - 1)**2/9
Let p(j) = -j**2 - 8*j - 7. Let m be p(-6). Factor -m*b**2 + b**2 - b - 2*b**4 + b**5 + 6*b**2.
b*(b - 1)**3*(b + 1)
Let a(t) = 11*t - 15. Let f be a(6). Factor -2*y - 2*y**3 - 4*y**2 + f - 51.
-2*y*(y + 1)**2
Let s(b) = 18*b**4 - 58*b**3 + 61*b**2 - 35*b + 4. Let t(f) = 9*f**4 - 29*f**3 + 31*f**2 - 17*f + 2. Let h(q) = -2*s(q) + 5*t(q). Factor h(w).
(w - 1)**3*(9*w - 2)
Let a(l) be the second derivative of l**6/90 - l**5/60 - l - 14. What is p in a(p) = 0?
0, 1
Let s(k) = -k + 1. Let x(p) = p**2 - 2*p + 7. Let j(c) = 15*s(c) - 3*x(c). Factor j(t).
-3*(t + 1)*(t + 2)
Let l(v) = 4*v**4 + 3*v**3 + 9*v**2 - 3*v + 7. Let d(p) = -3*p**4 - 3*p**3 - 7*p**2 + 3*p - 6. Let j(g) = 5*d(g) + 4*l(g). Factor j(i).
(i - 2)*(i - 1)**2*(i + 1)
Determine f, given that 0 - 2/9*f**5 + 0*f**4 - 2/9*f + 4/9*f**3 + 0*f**2 = 0.
-1, 0, 1
Suppose -b + 4*b = g - 6, -3*g + 4*b = -8. Let y be ((-16)/(-36))/((-14)/(-21)). Factor y*s**2 + 0 + g*s.
2*s**2/3
Find p, given that 9/2*p**3 + 0*p + 9/2*p**4 + 0 + 3/2*p**2 + 3/2*p**5 = 0.
-1, 0
Let q(z) be the first derivative of z**7/168 - z**6/120 - 3*z**5/80 + z**4/48 + z**3/12 - 9*z + 7. Let v(h) be the first derivative of q(h). Solve v(o) = 0.
-1, 0, 1, 2
Let a = 252 - 1257/5. Factor -6/5*x + a*x**2 + 3/5.
3*(x - 1)**2/5
Suppose 0 = -3*m + 2*f - 64 + 6, 2*m + 46 = 5*f. Let g be (-39)/m + (-2)/3. Suppose 0*c + g*c**3 - 3/2*c**5 - 3/2*c**2 + 3/2*c**4 + 0 = 0. Calculate c.
-1, 0, 1
Factor 24 + 3/2*r**2 + 12*r.
3*(r + 4)**2/2
Let 1/6*q**4 + 0*q**2 - 1/6 - 1/3*q**3 + 1/3*q = 0. What is q?
-1, 1
Let b(a) be the third derivative of a**6/40 - a**5/20 - a**4/8 + a**3/2 - 4*a**2. Factor b(i).
3*(i - 1)**2*(i + 1)
Let x(p) be the second derivative of 3*p + 12*p**2 - 5/14*p**7 - 22*p**3 + 16/5*p**6 + 43/2*p**4 - 231/20*p**5 + 0. Suppose x(z) = 0. What is z?
2/5, 1, 2
Let y be 1 + ((-6)/7)/(8/(-56)). Let h(v) be the third derivative of 2*v**2 + 0*v - 3/70*v**y + 0 + 3/4*v**4 - 1/2*v**3 - 3/5*v**5 + 1/4*v**6. Factor h(a).
-3*(a - 1)**3*(3*a - 1)
Let c be -3 - (-65)/20 - 2/8. Let u(n) be the second derivative of n - 9/70*n**5 - 1/21*n**4 + c*n**2 - 1/15*n**6 + 0*n**3 + 0. Factor u(j).
-2*j**2*(j + 1)*(7*j + 2)/7
Let a be (725/240 - 2) + -1. Let v(x) be the third derivative of -1/105*x**7 - 1/120*x**5 + 0 + 0*x**3 - a*x**6 + 0*x + 0*x**4 + x**2. Factor v(j).
-j**2*(j + 1)*(4*j + 1)/2
Let b(a) be the first derivative of 1/2*a**2 + 0*a - 4 + 13/6*a**3 + 1/3*a**6 + 17/10*a**5 + 3*a**4. Solve b(i) = 0 for i.
-2, -1, -1/4, 0
Let p = 16 - 10. Factor 3*c**5 - c - 6*c**2 - 6*c**2 + p*c**2 - 2*c + 6*c**4.
3*c*(c - 1)*(c + 1)**3
Let g(l) = -l**2 - 3*l - 2. Let i be g(-2). Let q(b) be the second derivative of i + 0*b**2 + 1/12*b**3 + 1/24*b**4 + 2*b. Solve q(h) = 0.
-1, 0
Let s = 123 + -193. Let r be 20/(-50) - 68/s. Factor 0*w**3 + 2/7*w**5 - 2/7*w + 4/7*w**4 + 0 - r*w**2.
2*w*(w - 1)*(w + 1)**3/7
Suppose 5*u + 3 = 2*u. Let x(y) = -y**3 - y**2 - y + 1. Let i(l) = 12*l**4 + 2*l**3 - 7*l**2 + 8*l - 5. Let f(g) = u*i(g) - 5*x(g). Factor f(h).
-3*h*(h - 1)*(h + 1)*(4*h - 1)
Let m(s) be the first derivative of s**8/840 + s**7/420 + 3*s**3 - 1. Let c(a) be the third derivative of m(a). Factor c(f).
2*f**3*(f + 1)
Let b(y) be the third derivative of -y**8/840 + y**7/525 + 7*y**2. Let b(m) = 0. Calculate m.
0, 1
Factor -31*n**4 - 35*n**2 - 11*n + 6*n**4 + n - 5*n**5 - 45*n**3.
-5*n*(n + 1)**3*(n + 2)
Let d be 2/2 - ((-6)/1)/6. Let v(s) be the third derivative of 1/30*s**5 - 1/60*s**6 + 0*s**4 + 0 + 0*s - 3*s**d + 0*s**3. Let v(m) = 0. Calculate m.
0, 1
Factor 0 + 6/5*q + 2/5*q**2.
2*q*(q + 3)/5
Let w(i) = 3*i**3 - 9*i**2 - 27*i. Let x(z) = -5*z + 12*z + 2*z**2 - 3*z**3 + 2*z**3. Let j = 16 + -12. Let y(g) = j*w(g) + 15*x(g). Solve y(c) = 0.
-1, 0
Let y(j) = j - 1. Let h be y(1). Suppose -5*k = -14 - 1. Factor -6/5*n**k + 0 + 8/5*n + 2/5*n**4 + h*n**2.
2*n*(n - 2)**2*(n + 1)/5
Let o(l) be the first derivative of 6*l**5/95 - 4*l**4/19 + 2*l**3/57 + 8*l**2/19 - 8*l/19 - 6. Let o(c) = 0. Calculate c.
-1, 2/3, 1, 2
Suppose w**2 + 0 - 3*w + 0*w**2 + 2 = 0. What is w?
1, 2
Suppose -5*j = -d - 15, 0 = -5*d + 2*j + j - 9. Factor s**5 + 2*s**4 - s**2 - s**2 + d*s**5 - s.
s*(s - 1)*(s + 1)**3
Suppose 0 = -a + 1 + 5. Let v(q) be the third derivative of 0*q**3 - 1/120*q**a + 2*q**2 + 0*q**5 + 0*q**4 - 1/210*q**7 + 0*q + 0. Factor v(c).
-c**3*(c + 1)
Factor -1/5*y**2 + 0 + 1/5*y**3 + 1/5*y**4 - 1/5*y.
y*(y - 1)*(y + 1)**2/5
Suppose -17 = 4*v + 31. Let u = -8 - v. Solve -m**3 + 5*m**2 + m + 0*m - 11*m**u - 2 + 8*m**4 = 0 for m.
-1, 2/3, 1
Let s = -7 + 10. Suppose -1/4*z**s + 1/4 - 1/4*z**2 + 1/4*z = 0. What is z?
-1, 1
Let s(k) be the first derivative of k**6/6 - k**5/5 - k**4/4 + k**3/3 + 10. Factor s(t).
t**2*(t - 1)**2*(t + 1)
Solve -16 + 19*q**4 + 8*q + 5/2*q**5 + 52*q**3 + 56*q**2 = 0 for q.
-2, 2/5
Let m = 3 + -6. Let u(r) = 11*r**2 - 20*r + 20. Let k(a) = -4*a**2 + 7*a - 7. Let j(d) = m*u(d) - 8*k(d). Let j(g) = 0. Calculate g.
2
Let r be (-44)/(-20) + (-6)/30. Factor 4/7*z**r - 4/7 + 2/7*z - 2/7*z**3.
-2*(z - 2)*(z - 1)*(z + 1)/7
Let p(a) = 5*a**3 + 7*a**2 + 2*a + 4. Let g(o) = 4*o**3 + 6*o**2 + o + 3. Let l(d) = 4*g(d) - 3*p(d). Let b be l(-3). Factor -b*f**2 - 2*f - 2 - 8*f + 2*f.
-2*(f + 1)*(3*f + 1)
Let p(b) be the second derivative of -b**6/6 + b