.
3*(x + 1)**2
Let f be (7/126)/(4/84). Let o(a) be the first derivative of 10/9*a**3 + 2/5*a**5 + 1/3*a**2 + 0*a - 2 + f*a**4. Factor o(d).
2*d*(d + 1)**2*(3*d + 1)/3
Let k(u) be the second derivative of 5/4*u**4 - 3*u - 3/5*u**5 + 0 - u**3 + 1/10*u**6 + 0*u**2. Factor k(v).
3*v*(v - 2)*(v - 1)**2
Factor 3/2*g**3 + 0*g - 3/2*g**2 - 3/8*g**4 + 0.
-3*g**2*(g - 2)**2/8
Let z(b) = -b + 14. Let s be z(11). Let n = s - 3. Determine f, given that 0*f - 1/3*f**2 + n - f**4 + 1/3*f**5 + f**3 = 0.
0, 1
Let l = 25 + -21. Factor 2/5*t**2 + 0*t + 6/5*t**l + 0 + 6/5*t**3 + 2/5*t**5.
2*t**2*(t + 1)**3/5
Let n(q) = -q**3 + q. Let v(z) = 28*z**3 - 8*z**2 - 28*z + 8. Let t(x) = 24*n(x) + v(x). Suppose t(b) = 0. What is b?
-1, 1, 2
Let k = -146 - -251. Find t such that 12 + 93*t**2 - 66*t - k*t**4 + 57/2*t**3 + 75/2*t**5 = 0.
-1, 2/5, 1, 2
Let o(n) be the third derivative of n**6/120 - n**5/10 + n**4/3 - 42*n**2 - 2. What is r in o(r) = 0?
0, 2, 4
What is m in 16/7*m - 10/7*m**2 + 2/7*m**3 - 8/7 = 0?
1, 2
What is l in 6 - 12*l**2 + 31*l**3 - 15*l + 18*l**3 - 8*l**5 + 6*l**4 - 19*l**3 - 7*l**5 = 0?
-1, 2/5, 1
Let j(x) be the second derivative of -3*x**5/20 + x**3/2 - 6*x. Determine h so that j(h) = 0.
-1, 0, 1
Suppose -3*k - u + 5 = -1, 0 = 3*k + 4*u - 6. Let -4*y**2 - 2*y + y**2 + y**k = 0. What is y?
-1, 0
Let a(i) be the second derivative of i**4/18 + i**3/9 - 2*i**2/3 - 19*i. Solve a(z) = 0.
-2, 1
Let s(d) = -19*d**3 + 17*d**2 + 24*d - 16. Let h(k) = -39*k**3 + 33*k**2 + 48*k - 33. Let u(y) = 4*h(y) - 9*s(y). Factor u(i).
3*(i - 2)*(i + 1)*(5*i - 2)
Suppose -4*i + 8 = 4*p, 5*i - p + 0 = 10. Factor 60*v**i - 13*v**3 - 14*v**3 - 39*v + 6 + 0.
-3*(v - 1)**2*(9*v - 2)
Let b be (3 - (-21)/(-15)) + (-2)/(-5). Let d(u) be the first derivative of 3/14*u**4 + 2/35*u**5 + 1/7*u**2 + b + 2/7*u**3 + 0*u. Factor d(k).
2*k*(k + 1)**3/7
Let o(u) = -4*u**2 + 24*u + 4. Let i(z) = z + 1. Let w(d) = 12*i(d) - o(d). Factor w(j).
4*(j - 2)*(j - 1)
Suppose 33 = -4*g + 49. Factor -2 + 32*z - 3*z**3 + 3*z**g - 26*z - 3*z**3 - 1.
3*(z - 1)**3*(z + 1)
Let j be -66*2/(-3 - -11). Let w = 18 + j. Suppose -1/2*h**3 - 1/2 - 3/2*h - w*h**2 = 0. Calculate h.
-1
Let f be 6/(-27) - (-10)/18. Let p(n) be the first derivative of 2 + n + n**2 + f*n**3. Let p(q) = 0. What is q?
-1
Let m(c) = -3*c + 9. Let q be m(3). Factor q + 1/4*x**2 - 1/2*x**3 + 1/4*x**4 + 0*x.
x**2*(x - 1)**2/4
Let w = 29 - 20. Suppose 0 = -3*n + w - 3. Factor -4/3*i**3 + 0 + 0*i + 2/3*i**n + 2/3*i**4.
2*i**2*(i - 1)**2/3
Let t(k) = -k**3 + k**2. Let h be t(-1). Let a(o) be the first derivative of 4/9*o**h + 1/27*o**6 - 1/6*o**4 - 4/45*o**5 + 8/27*o**3 + 1 + 0*o. Factor a(j).
2*j*(j - 2)**2*(j + 1)**2/9
Let t = -10 + 10. Let z(k) be the third derivative of 0*k**4 - 1/60*k**6 + 2*k**2 - 2/525*k**7 + t*k**3 + 1/75*k**5 + 0 + 0*k + 1/168*k**8. Solve z(q) = 0.
-1, 0, 2/5, 1
Let g(m) be the third derivative of -1/60*m**5 - 3*m**2 - 1/3*m**3 + 0*m + 0 + 1/8*m**4. Let g(s) = 0. What is s?
1, 2
Let r(w) = w**2 - 5. Let v(g) = -6. Let o(l) = 3*r(l) - 2*v(l). Solve o(a) = 0.
-1, 1
Let j be (-12)/(-84) - (0 + (-15)/42). Let n(i) be the first derivative of 4*i - 3*i**2 + 3 + j*i**4 + 0*i**3. Find z, given that n(z) = 0.
-2, 1
Let z(m) be the third derivative of m**7/2520 - m**5/120 + 7*m**4/24 - 8*m**2. Let q(y) be the second derivative of z(y). Solve q(a) = 0 for a.
-1, 1
Solve 0*s - 2/7*s**2 + 2/7 = 0 for s.
-1, 1
Let w be ((-21)/(-14))/(-2 - -8). Factor -1/2*n**4 + 0*n**3 + 1/2*n**2 + 1/4*n - w*n**5 + 0.
-n*(n - 1)*(n + 1)**3/4
Let m(o) be the third derivative of o**7/210 - o**5/10 + o**4/3 - o**3/2 + 56*o**2. Determine u so that m(u) = 0.
-3, 1
Let i(j) be the third derivative of j**5/20 - j**4/2 + 2*j**3 - 14*j**2. Factor i(a).
3*(a - 2)**2
Let a = 608/351 + -56/39. Let v(s) be the first derivative of 2/3*s**4 + 2/5*s**5 + 0*s**2 + a*s**3 + 2 + 0*s. Suppose v(r) = 0. What is r?
-2/3, 0
Let a be (1 - 0)/((-1)/(-5)). Suppose 3*d - p = -0*p + 7, 23 = a*d + 4*p. Find l, given that l**4 + 4*l**4 - 4*l**4 + d*l**3 + 3*l**2 + l = 0.
-1, 0
Factor -11*y**5 + 512*y - 282*y**2 - 32*y**4 + 192*y**3 - 230*y**2 + 13*y**5.
2*y*(y - 4)**4
Let h = -5 - -5. Let w be -1*(1 + 0)/(5/(-15)). Determine p so that -1/7*p**w + h - 2/7*p + 3/7*p**2 = 0.
0, 1, 2
Let j(w) be the third derivative of w**6/40 - 3*w**5/20 + 3*w**4/8 - w**3/2 + 7*w**2. Factor j(c).
3*(c - 1)**3
Let a(x) = -x**3 + 2*x**2 + 9*x - 2*x**2 + 0*x**3 + 8*x**2. Let n(d) = -4*d**2 - 4*d. Let h(r) = 4*a(r) + 7*n(r). Suppose h(b) = 0. What is b?
-1, 0, 2
Let p be ((-18)/8)/(5/(-20)). Let a = p + -5. Suppose 0*k**2 + 4/3*k - 4/3*k**3 - 2/3*k**a + 2/3 = 0. Calculate k.
-1, 1
Let q(a) = a. Let g be (-32)/(-12)*(-6)/(-4). Let o be q(g). Determine c so that -2*c**2 - 2 + 4 + 4*c - o = 0.
1
Let y(x) be the second derivative of -x**4/60 + 35*x. Let y(o) = 0. Calculate o.
0
Suppose -4*z = n - 5*n - 44, -5*n - 20 = 0. Determine r, given that -5 - 10*r**3 - 2 - 4*r**2 + z = 0.
-2/5, 0
Determine g so that 6*g - 3*g + 3*g - 3*g**2 - 3*g**3 = 0.
-2, 0, 1
Suppose -s + 24 - 19 = 0. Let d(v) be the first derivative of -1/2*v - 17/8*v**4 - 7/24*v**6 + 2 + 13/10*v**s + 4/3*v**3 + 1/8*v**2. Factor d(l).
-(l - 1)**4*(7*l + 2)/4
Let o(i) be the second derivative of -i**6/360 + i**2 + 5*i. Let y(v) be the first derivative of o(v). Suppose y(q) = 0. Calculate q.
0
Factor 4*t**2 - 17*t + 3*t + 4 - 4*t**2 + 6*t**2.
2*(t - 2)*(3*t - 1)
Let x(u) be the third derivative of u**2 + 0 - 1/120*u**5 + 0*u**3 + 0*u + 0*u**4 + 1/420*u**7 + 0*u**6. Solve x(o) = 0.
-1, 0, 1
Let d(b) be the first derivative of -b**8/4200 + b**7/1050 + b**6/900 - b**5/150 + b**3/3 + 2. Let u(q) be the third derivative of d(q). Factor u(o).
-2*o*(o - 2)*(o - 1)*(o + 1)/5
Let i(v) be the first derivative of v**6/24 + v**5/5 + 5*v**4/16 + v**3/6 + 9. Factor i(z).
z**2*(z + 1)**2*(z + 2)/4
Let t(y) be the second derivative of -y**8/392 + y**7/735 + y**6/210 + 3*y**2 - 5*y. Let f(h) be the first derivative of t(h). Suppose f(o) = 0. Calculate o.
-2/3, 0, 1
Suppose 4*o - 5 = 3. Suppose -4*n - 12 = -4*z, o*n + 2*n - 24 = -5*z. Let 4*g - 3*g**2 - 3*g**3 - z*g = 0. Calculate g.
-1, 0
Let r(n) be the third derivative of -n**6/900 - 2*n**5/225 + n**4/36 + 24*n**2 + n. Solve r(j) = 0.
-5, 0, 1
Let c(s) be the third derivative of -s**6/240 + 11*s**5/480 - 5*s**4/192 - s**3/24 - s**2. Suppose c(z) = 0. What is z?
-1/4, 1, 2
Suppose -5 = 5*o - 35. Solve 2*z**2 - 14*z**2 + 8*z**3 + z**4 - 3*z**4 + o*z - 2 + 2*z = 0 for z.
1
Let u be (20/(-30))/(2/(-4 + 3)). Let 0*r + 1/3 - u*r**2 = 0. Calculate r.
-1, 1
Let w be (0/1)/6*1. Solve w*n**4 + 0 - 4/13*n**3 + 2/13*n**5 + 2/13*n + 0*n**2 = 0.
-1, 0, 1
Let o(c) be the second derivative of 11*c**6/30 - c**5 + 7*c**4/12 + c**3/3 - 2*c + 20. Factor o(m).
m*(m - 1)**2*(11*m + 2)
Let n be (-188)/(-470)*10/12. Factor 0 - n*w - 16/3*w**3 + 8/3*w**2.
-w*(4*w - 1)**2/3
Let k be -2 - -2*3/3. Let w(q) be the third derivative of 1/210*q**5 + k*q**3 - 1/84*q**4 - q**2 + 0*q + 0. Factor w(p).
2*p*(p - 1)/7
Let m(t) be the first derivative of 2/5*t**3 - 1/5*t**2 + 2/25*t**5 + 0*t - 3/10*t**4 - 6. Factor m(l).
2*l*(l - 1)**3/5
Let p(m) be the third derivative of m**7/70 + m**6/20 + m**5/20 - 10*m**2. Let p(s) = 0. What is s?
-1, 0
Let o(b) be the second derivative of -1/3*b**3 + b**2 + 1/10*b**5 + 0 - b - 1/6*b**4. Suppose o(r) = 0. What is r?
-1, 1
Let x(t) = 32*t**2 - 14*t. Let y(d) = 3*d - 1. Let s be y(1). Let p(b) = -32*b**2 + 13*b + 1. Let k(o) = s*p(o) + 3*x(o). Factor k(j).
2*(4*j - 1)**2
Let p be 0 - (3 + -6 - 0). Solve 4*t**p - t**3 - 5*t**3 + 5*t**3 - 9*t**2 + 12 = 0.
-1, 2
Let b(g) be the second derivative of g**7/70 + g**6/25 - 9*g**5/100 - g**4/5 + 2*g**3/5 + g. Factor b(l).
3*l*(l - 1)**2*(l + 2)**2/5
Let b be (2 - (-40)/(-18)) + (-16)/(-36). Factor 2/9*h**2 + b*h + 0.
2*h*(h + 1)/9
Let c(v) = v**3 + 7*v**2 + 6*v + 2. Let o be c(-6). What is r in r + 0*r**2 + o*r**2 + 2*r**3 - 2*r - 3*r**3 = 0?
0, 1
Solve 0 - 2/9*w - 2/9*w**3 - 4/9*w**2 = 0.
-1, 0
Let t(g) = 5*g**2 + 2. Let s be t(-2). Factor -s*w**5 + 13*w**5 + 2*w**2 + 1 - 3*w**4 + 6*w**5 + 3*w + 2*w**5 - 2*w**3.
-(w - 1)*(w + 1)**4
Suppose 0 = 5*g + 20, 0 = -0*w - w + 4*g + 22. Suppose 12 = w*i - 3*i. Suppose 3 + 0*u**2 - i + u**2 = 0. Calculate u.
-1, 1
Let k(i) b