*a = 2. Factor -2/11*d**x + 0*d + 6/11*d**3 - 6/11*d**4 + 2/11*d**5 + 0.
2*d**2*(d - 1)**3/11
Let q = -324/7 - -48. Let k = q + -17/14. Factor -1/2*u**3 + k*u**2 + 1/2*u - 1/2.
-(u - 1)**2*(u + 1)/2
Let f(r) be the second derivative of -r**4/108 + 14*r + 1. Suppose f(l) = 0. What is l?
0
Let j be ((-10)/(-4))/(473/(-33) + 16). Factor 3/4*k - 3/4*k**3 - 9/4*k**2 + 3/4*k**4 + j.
3*(k - 2)*(k - 1)*(k + 1)**2/4
Suppose 3*c + t - 59 = -0, 0 = -2*c - 4*t + 36. Let q be 2/(-5)*c/(-32). Factor 0 - 3/4*s**3 - 3/4*s**2 - 1/4*s**4 - q*s.
-s*(s + 1)**3/4
Let m(q) = -4*q**2 - 8*q - 10. Let l(s) = 7*s**2 + 15*s + 19. Let h(t) = -4*t - 2. Let c be h(-2). Let o(k) = c*l(k) + 11*m(k). What is n in o(n) = 0?
-1, 2
Suppose 3*p + 7 = a - p, -p = 3*a - 8. Let -7/6*g**a + 1/3 - 1/2*g - 2*g**2 = 0. What is g?
-1, 2/7
Let o(b) be the first derivative of -b**4/28 - 2*b**3/21 + b**2/14 + 2*b/7 - 6. Factor o(h).
-(h - 1)*(h + 1)*(h + 2)/7
Let j(a) = -a**3 + 7*a**2 + 8*a + 4. Let d be j(8). Let n(l) be the second derivative of l + 1/15*l**6 - l**2 + 0*l**d - 2/3*l**3 + 1/5*l**5 + 0. Factor n(g).
2*(g - 1)*(g + 1)**3
Factor 4*x**4 + 5 + 3 - x**2 - x**3 + 4*x - 11*x**2 - 3*x**3.
4*(x - 2)*(x - 1)*(x + 1)**2
Suppose 0 = -4*q + 5*s + 4 + 6, 2*s = 4. Let p(z) be the second derivative of 0*z**3 + 0 + 1/5*z**6 + 0*z**2 + 1/2*z**q + 1/3*z**4 + z. Factor p(l).
2*l**2*(l + 1)*(3*l + 2)
Let c be (1 - 6)/((-10)/12). Let k(j) be the first derivative of -8/27*j**3 - 1/3*j**4 - 8/45*j**5 - 1/27*j**c - 1/9*j**2 + 0*j - 1. Find g such that k(g) = 0.
-1, 0
Suppose -5*k + 22 = 5*n - 3, -4*k = n - 14. Suppose 2*t = 5*r, 2*r - 5 = -4*t + 19. Determine v, given that -2/3 + 2/3*v**k + 2*v - 2*v**r = 0.
1
Suppose 3*y + 11 = -1. Let s be 1*(-2)/y*4. Factor 2 + 5/2*h**s - 1/2*h**3 - 4*h.
-(h - 2)**2*(h - 1)/2
Determine x so that -3*x + 102*x**3 + 21*x**5 - 13*x**4 - 6 + 48*x**2 + 104*x**4 - 13*x**4 = 0.
-1, 2/7
Find k, given that 3/2 + 57/8*k - 3/2*k**3 + 33/8*k**2 = 0.
-1, -1/4, 4
Let a(k) be the second derivative of -k**5/30 + k**4/8 - k**3/18 - 21*k. Factor a(r).
-r*(r - 2)*(4*r - 1)/6
Factor 2*f**3 - 8 + 36*f - 33/2*f**2.
(f - 4)**2*(4*f - 1)/2
Let d = 45 + -42. Find w, given that -2*w + 2/3 + 2/3*w**5 + 4/3*w**2 + 4/3*w**d - 2*w**4 = 0.
-1, 1
Let t(b) be the third derivative of -b**7/420 - b**6/720 + b**5/180 + 8*b**2. Let t(g) = 0. Calculate g.
-1, 0, 2/3
Factor 21*a**3 - a**2 + 2*a**2 + 61*a - 63*a.
a*(3*a + 1)*(7*a - 2)
Suppose -2*q + r = -2, -2*q + 6 = -3*r - 0. Let b(y) be the third derivative of 0*y**3 + q*y + 0*y**5 - 3*y**2 + 0*y**4 + 0 + 1/300*y**6. Factor b(x).
2*x**3/5
Let f(s) be the third derivative of s**5/3 - s**4/3 + 12*s**2. Solve f(w) = 0.
0, 2/5
Let r(g) be the first derivative of 2*g**3/39 + 8. Find q such that r(q) = 0.
0
Let m be ((-6)/3)/(2/4). Let y(p) = 7*p**2 + 12*p + 12. Let c(d) = d**2. Let g(h) = m*c(h) + y(h). Find s such that g(s) = 0.
-2
Find t, given that 2 - 17*t + 105/2*t**2 - 275/4*t**3 + 125/4*t**4 = 0.
2/5, 1
Factor 12 - 48*r + 10 - 28*r**2 - 6.
-4*(r + 2)*(7*r - 2)
Let f(w) = w - 1. Let h be f(4). Suppose h*o = -5*u + 11, 5*u - 5 = -2*o + 4. Let -18*p + 4 + 14*p**2 + 2*p**2 - o*p**2 = 0. What is p?
2/7, 1
Let q be 46/10 + 12/30. Let n(u) be the second derivative of 0*u**3 + 0 - u - 2/5*u**2 - 1/100*u**q + 1/20*u**4. Determine y, given that n(y) = 0.
-1, 2
Let q(g) be the first derivative of -4*g**3/3 - 6*g**2 - 8*g - 2. Factor q(d).
-4*(d + 1)*(d + 2)
Let c(t) be the third derivative of 0*t + 1/20*t**5 - 2*t**3 + 0*t**4 + 0 - 5*t**2. Find p such that c(p) = 0.
-2, 2
Suppose -3*x + 2*p = -3, -15 = 2*x - 3*x - 4*p. Factor -3/2 - 7/4*c + 9/2*c**2 - 5/4*c**x.
-(c - 3)*(c - 1)*(5*c + 2)/4
Let y(j) = j**2 + 9*j + 5. Let d be y(-9). Let l(q) = q**2 - 9*q - 4. Let v(z) = -z**2 + 8*z + 3. Let b(o) = d*l(o) + 6*v(o). Solve b(u) = 0 for u.
1, 2
Let k(l) = 15*l**3 - 83*l**2 + 105*l - 37. Let i(f) = -10*f**3 + 55*f**2 - 70*f + 25. Let p(q) = 8*i(q) + 5*k(q). Find w such that p(w) = 0.
1, 3
Let g = 12 - 7. Let l(z) = 2*z - 6. Let u be l(g). Factor 2*p + 4*p**2 - 5*p**2 + u - p**2.
-2*(p - 2)*(p + 1)
Let s(k) = 7*k**4 + k**3 - k**2 - k + 6. Let v(t) = -t**4 - 1. Let d be (-2)/(-2)*2/(-2). Let l(y) = d*s(y) - 6*v(y). Factor l(o).
-o*(o - 1)*(o + 1)**2
Let v(g) be the third derivative of 0*g**7 - 1/60*g**4 + g**2 + 0 + 1/150*g**6 + 0*g**3 + 0*g**5 - 1/840*g**8 + 0*g. Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let n(o) be the first derivative of -o**6/600 - o**5/150 - o**4/120 + 3*o**2/2 - 2. Let g(k) be the second derivative of n(k). Determine r, given that g(r) = 0.
-1, 0
Let w(h) = -h**3 - h**2 + h. Let g be w(0). Let c(d) be the first derivative of 0*d - 4/15*d**5 + 0*d**2 - 1 - 1/9*d**6 - 1/6*d**4 + g*d**3. Factor c(s).
-2*s**3*(s + 1)**2/3
Let c be (-32)/80*(2 + -3). Factor 4/5*d**2 + c + 6/5*d.
2*(d + 1)*(2*d + 1)/5
Let u(z) be the first derivative of -8/7*z + 2/7*z**3 - 1 + 0*z**2 - 1/14*z**4. Find s such that u(s) = 0.
-1, 2
Factor 2/3*s + 8/3*s**3 - 10/3*s**2 + 0.
2*s*(s - 1)*(4*s - 1)/3
Suppose -9*h + 19*h = 0. Let x(u) be the third derivative of 3/5*u**5 + 0*u + 1/2*u**4 + h + u**2 + 0*u**3 - 7/40*u**6. Factor x(w).
-3*w*(w - 2)*(7*w + 2)
Let g(v) be the third derivative of -v**6/120 - v**5/30 + v**4/24 + v**3/3 + 15*v**2. Factor g(o).
-(o - 1)*(o + 1)*(o + 2)
Let q be -11 - ((-2)/2 - 2). Let c be (-38)/(-14) + q/(-28). Factor 16/3*k**c + 2/3*k**2 - 4/3*k + 0 + 10/3*k**4.
2*k*(k + 1)**2*(5*k - 2)/3
Let r(s) = s**4 - s**3 - 2*s**2 + 6*s. Let f(l) = 4*l**4 - 2*l**3 - 7*l**2 + 19*l. Let k(p) = 2*f(p) - 7*r(p). Factor k(v).
v*(v - 1)*(v + 2)**2
Let x = 134 + -936/7. Let x*f**3 + 2/7*f**2 + 0 + 0*f = 0. Calculate f.
-1, 0
Let k(z) = 2*z**5 - 2*z**4 + 6*z**3 + 6*z**2. Let x(b) = 5*b**5 - 5*b**4 + 17*b**3 + 17*b**2. Let f(t) = 17*k(t) - 6*x(t). What is a in f(a) = 0?
0, 1
Let i(m) be the first derivative of -m**6/24 - m**5/5 - 3*m**4/8 - m**3/3 - m**2/8 - 13. Factor i(g).
-g*(g + 1)**4/4
Factor 4/3*w + 0 - 2/3*w**4 + 2*w**2 + 0*w**3.
-2*w*(w - 2)*(w + 1)**2/3
Let s(x) = -x**4 - 18*x**3 - 8*x**2 + 18*x + 17. Let z(n) = -6*n**3 - 3*n**2 + 6*n + 6. Let v(q) = 3*s(q) - 8*z(q). Determine m, given that v(m) = 0.
-1, 1
Let d(n) be the third derivative of n**8/6720 + n**7/2520 - n**6/720 + n**5/60 - 6*n**2. Let z(v) be the third derivative of d(v). Factor z(q).
(q + 1)*(3*q - 1)
Let x(s) be the second derivative of s**10/120960 + s**9/60480 - s**8/26880 - s**7/10080 - s**4/4 + s. Let f(h) be the third derivative of x(h). Solve f(n) = 0.
-1, 0, 1
Suppose -4*y + 0 + 8 = 0. Find h, given that -h + 4*h + 0*h**y - 2*h**2 - 5*h = 0.
-1, 0
Factor 0*k**2 + 0 - 8/3*k**3 + 4*k**4 - 4/3*k**5 + 0*k.
-4*k**3*(k - 2)*(k - 1)/3
Let f(c) be the third derivative of -c**7/840 - 7*c**2. Factor f(u).
-u**4/4
Suppose 72*i = 71*i. Factor -2/5*m**2 + 2/5 + i*m.
-2*(m - 1)*(m + 1)/5
Let g be 2*(-1)/(1/24). Let t be 6/(-15) - g/20. Factor 2/3*z**5 + 0 + 0*z**t - 2/3*z**3 + 0*z + 0*z**4.
2*z**3*(z - 1)*(z + 1)/3
Let l(t) be the first derivative of 2/3*t**3 + 2/15*t**6 + 0*t**4 - 2/5*t**5 + 1 - 2/5*t**2 + 0*t. Find a, given that l(a) = 0.
-1, 0, 1/2, 1, 2
Let h(g) be the third derivative of -2/27*g**3 + 1/270*g**5 + 0 + 4*g**2 + 0*g - 1/108*g**4. Factor h(l).
2*(l - 2)*(l + 1)/9
Let w(m) be the second derivative of m**9/5040 - m**4/2 - 2*m. Let r(v) be the third derivative of w(v). Determine f, given that r(f) = 0.
0
Let x(r) be the first derivative of r**7/840 - r**6/120 + r**5/48 - r**4/48 + r**2/2 - 3. Let d(l) be the second derivative of x(l). Find p such that d(p) = 0.
0, 1, 2
Factor -1/5*s**2 + 3/5*s + 0.
-s*(s - 3)/5
Let f(v) be the second derivative of v**4/66 + 2*v**3/11 + 9*v. Factor f(b).
2*b*(b + 6)/11
Let p be ((-9)/((-243)/18))/(2 - 0). Determine d so that 4/3*d**5 + 0 + 7/3*d**4 - p*d**2 + 0*d + 2/3*d**3 = 0.
-1, 0, 1/4
Suppose -2 = l - 5. Suppose -4 = -p - p. Factor -17*r - 4*r**l + 6*r**2 - 3*r - 1 - 23*r**p - 3.
-(r + 2)**2*(4*r + 1)
Let p(m) be the first derivative of -25*m**6/6 + m**5 + 4*m**4 + 4*m**3/3 + 15. Solve p(c) = 0.
-2/5, 0, 1
Let n(r) be the first derivative of -r**4/30 + 2*r**3/9 - 8*r**2/15 + 8*r/15 + 37. Factor n(w).
-2*(w - 2)**2*(w - 1)/15
Let o(x) be the first derivative of -x**4/42 - 2*x**3/21 + x + 2. Let u(p) be the first derivative of o(p). Factor u(n).
-2*n