*(b + 1)**4/4
Let b(a) = 6 + 15*a**2 + 5 - 4*a + 25*a - 5. Let k(c) = 5*c**2 + 7*c + 2. Let s(n) = 3*b(n) - 8*k(n). Solve s(z) = 0 for z.
-1, -2/5
Determine h, given that -2/3*h**2 - 8/3 - 8/3*h = 0.
-2
Let n(s) = -s**3 + 7*s**2 + 7*s + 10. Let x be n(8). Factor 4*b**3 - 15 + 15 + x*b**2 - 2*b**4 - 4*b.
-2*b*(b - 2)*(b - 1)*(b + 1)
Factor 1/6*t**3 + 2/3*t**2 - 11/6*t + 1.
(t - 1)**2*(t + 6)/6
Let p(h) be the first derivative of 5/2*h**2 - 1/30*h**5 + 2/3*h**3 - 4 - 1/12*h**4 + 0*h. Let f(o) be the second derivative of p(o). Let f(d) = 0. Calculate d.
-2, 1
Let n(p) = 2*p**2 - 2*p - 2. Let u(c) = -c**3 + c**2 + c + 1. Let l(m) = -n(m) - 2*u(m). Factor l(o).
2*o**2*(o - 2)
Let l(x) be the second derivative of x**3 + x - 1/14*x**7 + 0 + 0*x**2 - 1/10*x**6 + 9/20*x**5 + 5/4*x**4. What is y in l(y) = 0?
-1, 0, 2
Let o(t) be the third derivative of 7*t**8/12 - 62*t**7/15 + 69*t**6/10 + 29*t**5/15 - 28*t**4/3 - 8*t**3 - 50*t**2. What is j in o(j) = 0?
-2/7, 1, 3
Let g(y) be the second derivative of y**6/15 - y**5/10 - 2*y**4/3 + 4*y**3/3 - 23*y. Solve g(w) = 0.
-2, 0, 1, 2
Let t(c) be the second derivative of -1/5*c**2 + 2*c + 0 + 1/30*c**4 - 1/100*c**5 + 1/30*c**3. Determine x, given that t(x) = 0.
-1, 1, 2
Factor 4/15 - 2/15*b**2 - 2/15*b.
-2*(b - 1)*(b + 2)/15
Let c be 4 + -4 - -4 - -1. Factor 4*s**c + 14*s**4 + 38*s**3 - 9*s**5 + 7*s**5 + 27*s + 50*s**2 + 8 + 5*s.
2*(s + 1)**3*(s + 2)**2
Let v(r) be the first derivative of 3*r**5/5 + 6*r**4/5 + r**3/5 - 3*r**2/5 + 5. Let v(q) = 0. Calculate q.
-1, 0, 2/5
Let r(c) = -21*c**2 - 66*c - 84. Let u(n) = 6*n**2 + 19*n + 24. Let t(z) = 5*r(z) + 18*u(z). Solve t(y) = 0.
-2
Let f(t) = 4*t**2 - t + 1. Suppose -2*v - 15 = 3*v. Let c(a) = 7*a**2 - 2*a + 1. Let z(x) = v*c(x) + 5*f(x). Find q, given that z(q) = 0.
-1, 2
Suppose 3*f + 124 = 130. What is l in -8/9*l + 8/9 + 2/9*l**f = 0?
2
Let l(t) = -4*t**5 - 17*t**4 + 5*t**3 - 9*t**2 - 9. Let n(b) = -b**5 - 4*b**4 + b**3 - 2*b**2 - 2. Let d(a) = 4*l(a) - 18*n(a). Factor d(m).
2*m**3*(m + 1)**2
Let l(m) = 3*m**2 + 2*m + 1. Let v be l(-1). Let y = -1 + 3. Factor j**2 - 2*j**3 + y + 6*j - 3*j**v - 4*j**3.
-2*(j - 1)*(j + 1)*(3*j + 1)
Let o(s) be the third derivative of 0 + 0*s**5 - 1/504*s**8 + 0*s**3 + 0*s**4 - 6*s**2 + 0*s + 0*s**6 + 1/315*s**7. Solve o(h) = 0 for h.
0, 1
Let s(j) = j - 29. Let f be s(33). Let u(n) be the first derivative of 1/4*n**f - 3/2*n**2 + 0*n**3 + 2 + 2*n. Solve u(z) = 0.
-2, 1
Let z(q) be the second derivative of 0 + 4*q**2 + 1/10*q**5 + 0*q**3 - 1/2*q**4 - 3*q. Determine b so that z(b) = 0.
-1, 2
Let v(j) be the third derivative of -5*j**2 - 1/84*j**4 + 1/210*j**5 - 1/735*j**7 + 0 + 0*j**3 + 0*j + 1/420*j**6. Factor v(u).
-2*u*(u - 1)**2*(u + 1)/7
Let o(v) be the first derivative of -v**4 + 20*v**3/3 - 14*v**2 + 12*v + 11. Suppose o(u) = 0. Calculate u.
1, 3
Let j = -1 - -8. Let k(v) = -11*v**3 - 7*v + 10*v**3 + 7 - 8*v**3 - 7*v**2. Let r(y) = 5*y**3 + 4*y**2 + 4*y - 4. Let m(b) = j*r(b) + 4*k(b). Factor m(n).
-n**3
Let x(r) be the first derivative of r**4/12 - 4*r**3/9 + 5*r**2/6 - 2*r/3 - 1. Factor x(y).
(y - 2)*(y - 1)**2/3
Let g(k) = 2*k + 6. Let w be g(0). Let o(i) be the third derivative of 1/9*i**3 + 0*i - 1/315*i**7 + 0 + 1/18*i**4 - i**2 + 0*i**5 - 1/90*i**w. Factor o(f).
-2*(f - 1)*(f + 1)**3/3
Let p(k) be the first derivative of k**3/12 + k**2 + 4*k + 8. Factor p(m).
(m + 4)**2/4
Determine t, given that 2/7*t - 4/7 + 2/7*t**2 = 0.
-2, 1
Let l(n) be the first derivative of 0*n + 1/39*n**6 + 2/65*n**5 + 0*n**2 - 1/26*n**4 - 6 - 2/39*n**3. Determine f, given that l(f) = 0.
-1, 0, 1
Let v(u) be the second derivative of -u**6/6 - 7*u**5/10 + u**4/4 + 10*u**3/3 - 2*u**2 - 3*u. Find a such that v(a) = 0.
-2, 1/5, 1
Suppose -t - 3*t = 0. Suppose 5*j - 10*j + 3*j**3 - 3 + t + 2*j + 3*j**2 = 0. Calculate j.
-1, 1
Let s(k) be the first derivative of -5*k**3/3 - 10*k**2 - 3. Factor s(g).
-5*g*(g + 4)
Let i(f) be the first derivative of 12*f - 4*f**3 + 5 - 3/4*f**4 + 3/2*f**2. Factor i(l).
-3*(l - 1)*(l + 1)*(l + 4)
Let f = -95/2 - -48. Solve 0 - f*n - 1/2*n**2 = 0.
-1, 0
Let a(x) be the second derivative of -x**7/210 - x**6/150 + x**5/50 + x**4/30 - x**3/30 - x**2/10 + 10*x. Factor a(l).
-(l - 1)**2*(l + 1)**3/5
Let y(i) be the first derivative of -1/15*i**5 + 0*i**2 - 1/4*i**4 + 0*i - 4 - 2/9*i**3. Factor y(c).
-c**2*(c + 1)*(c + 2)/3
Let c(v) = v**3 + 9*v**2 - 5*v - 9. Let s be c(-9). Factor -150*q**3 - 125*q**4 - 7*q**2 - 6*q - 2*q - 17*q**2 - s*q**2.
-q*(5*q + 2)**3
Let u(j) be the second derivative of -3*j**5/40 - j**4/4 + j**3/4 + 3*j**2/2 - 5*j. Factor u(l).
-3*(l - 1)*(l + 1)*(l + 2)/2
Suppose -q = 2*n + 2*q - 17, -3*n = -4*q. Let z(s) = s**3 - 2*s**2 + 3*s - 2. Let u(r) = 3*r**3 - 5*r**2 + 8*r - 6. Let m(t) = n*u(t) - 11*z(t). Factor m(k).
(k - 1)*(k + 1)*(k + 2)
Let w = 16 + -13. Factor 4 + w - 21*x**2 - 1 - 11*x - 4*x.
-3*(x + 1)*(7*x - 2)
Suppose -9 = k + 3*t - t, -15 = 2*k + 3*t. Let l = 6 + k. Factor 0 + 4/3*z**2 + 2/3*z + 2/3*z**l.
2*z*(z + 1)**2/3
Let o(v) = -v + 4. Let i be o(-5). Let x be (i + -3)*(-2)/(-4). Factor -3*q**3 - 5*q**2 - 2*q + q + 5*q**4 + x*q**5 + q**5.
q*(q - 1)*(q + 1)**2*(4*q + 1)
Let x = -19 + 26. Suppose 3 = 5*h - x. Factor 2/3 - 2/3*t**h + 0*t.
-2*(t - 1)*(t + 1)/3
Let n(a) be the first derivative of -4 - 1/11*a**2 + 0*a + 2/11*a**3 - 3/22*a**4 + 2/55*a**5. Factor n(z).
2*z*(z - 1)**3/11
Suppose -2/5*v**3 - v**2 + 4/5*v + 3/5 = 0. Calculate v.
-3, -1/2, 1
Let c(d) be the third derivative of -d**6/720 - d**5/90 - d**4/144 + d**3/6 + 12*d**2. Factor c(h).
-(h - 1)*(h + 2)*(h + 3)/6
Factor 4 + 2*a**3 + 8*a**2 + 2*a + 4*a + 9*a - 5*a.
2*(a + 1)**2*(a + 2)
Let z(j) = j - 6. Let w be z(6). Suppose w = c - 1 - 2. Suppose -3*q**3 - 2*q**4 + 0*q**4 + q**c = 0. What is q?
-1, 0
Suppose -3*k + s = -12, -14*k + 16*k = -2*s. Factor -8/3*x**3 + k + 1/3*x**4 + 22/3*x**2 - 8*x.
(x - 3)**2*(x - 1)**2/3
Let -k**5 - 4*k**5 - 15*k**3 + 8*k**4 + 20*k + 12*k**4 - 20*k**2 = 0. What is k?
-1, 0, 1, 2
Let q be 0 - 5 - (-4 + 3). Let o(f) = -f - 1. Let l be o(q). Let -3*s**2 - s**2 + 2*s**2 - 4*s**l - 2*s**4 + 0*s**4 = 0. What is s?
-1, 0
Let a(h) be the third derivative of h**6/420 - h**5/70 + h**4/42 + 2*h**2. Factor a(w).
2*w*(w - 2)*(w - 1)/7
Let m(r) be the second derivative of r**6/360 + r**5/60 + 2*r**3/3 - 5*r. Let y(x) be the second derivative of m(x). Let y(g) = 0. Calculate g.
-2, 0
Let n(a) = a**3 + 2*a**2. Let x be n(-2). Let t be (9/(-3)*-2)/2. Suppose x + 3/2*u**2 - 1/2*u - u**t = 0. Calculate u.
0, 1/2, 1
Let w(f) be the first derivative of f**4/6 + 10*f**3/9 - 13*f**2/3 + 14*f/3 + 71. Factor w(d).
2*(d - 1)**2*(d + 7)/3
Let u(j) be the first derivative of -3*j**5/20 + 3*j**4/16 + 3*j**3/2 - 9. Factor u(c).
-3*c**2*(c - 3)*(c + 2)/4
Let y(b) be the first derivative of 3/2*b**2 - 1/2*b**3 + 6*b - 1 - 3/16*b**4. Find r, given that y(r) = 0.
-2, 2
Let t = 84 + -48. Find u, given that -24*u + 2*u**2 + u**2 + t + u**2 = 0.
3
Let m(w) = -4*w**2 - w - 4. Let d be m(-5). Let n be (-2)/6 - 51/d. Factor 0 + n*h - 4/11*h**2 + 2/11*h**3.
2*h*(h - 1)**2/11
Let t be ((-56)/(-3))/(-8) - -3. Let f(j) be the first derivative of -3 + 4/3*j**3 + 2/15*j**5 + 2/3*j + 4/3*j**2 + t*j**4. Factor f(i).
2*(i + 1)**4/3
Let y(h) be the first derivative of -h**4/16 + h**3/3 - h**2/8 - 3*h/2 + 54. Find b, given that y(b) = 0.
-1, 2, 3
Let d(c) be the second derivative of 0*c**2 - 2*c + 0 + 0*c**3 + 0*c**5 + 1/48*c**4 - 1/120*c**6. Factor d(l).
-l**2*(l - 1)*(l + 1)/4
Factor -10*t + 5*t**3 + 6*t**2 - 15*t**2 + 4*t**2.
5*t*(t - 2)*(t + 1)
Let k(f) be the third derivative of f**10/15120 - f**9/3780 - f**8/3360 + f**7/630 + 5*f**4/24 + 4*f**2. Let t(y) be the second derivative of k(y). Factor t(a).
2*a**2*(a - 2)*(a - 1)*(a + 1)
Let y(v) be the third derivative of v**8/448 - v**7/140 + v**5/40 - v**4/32 - 4*v**2. Suppose y(k) = 0. What is k?
-1, 0, 1
Suppose -5*i + 6 = -4. Factor -2 + 2 - 2*w**i + 3*w**3 + 5*w**2.
3*w**2*(w + 1)
Let m(x) be the second derivative of -2*x + 0 - 1/18*x**3 + 0*x**2 - 1/36*x**4. Factor m(u).
-u*(u + 1)/3
Suppose 132*y + 4 = 133*y. Let n(k) = k**2 + 1. Let a be n(-1). Find m, given that -2/3*m**y - 2/3*m**a - 4/3*m**3 + 0*m + 0 = 0.
-1, 0
Let t be (2/(-7))/((-4)/56*2). Factor -1/4*x**t - 1/4*x + 0.
-x*(x + 1)/4