be the second derivative of 7*g**7/36 - 217*g**6/180 + 32*g**5/15 + g**4/9 - 20*g**3/9 - 4*g**2/3 + 2*g. Let z(x) = 0. Calculate x.
-2/7, 1, 2
Factor 0 + 6*s**2 + 3*s + 3/4*s**4 + 15/4*s**3.
3*s*(s + 1)*(s + 2)**2/4
Factor 6/7*w**3 + 3/7*w**4 - 3/7 - 6/7*w + 0*w**2.
3*(w - 1)*(w + 1)**3/7
Let q(p) be the second derivative of 0 + 1/14*p**3 - 1/70*p**6 + 1/98*p**7 + 1/14*p**4 - 3/14*p**2 + 5*p - 3/70*p**5. Let q(i) = 0. What is i?
-1, 1
Let z(s) = -s + 7*s**3 + 69*s**2 - 5*s**4 - 40*s**2 + 0*s**4 - 9. Let m(n) = -n**4 + 2*n**3 + 7*n**2 - 2. Let w(i) = 18*m(i) - 4*z(i). Factor w(h).
2*h*(h + 1)**2*(h + 2)
Determine t, given that 40/13*t - 50/13*t**2 - 8/13 = 0.
2/5
Let r(b) be the first derivative of 3*b**4/4 - 2*b**3 - 3*b**2/2 + 6*b - 12. Determine u, given that r(u) = 0.
-1, 1, 2
Let l(n) = -3*n**2 + n + 1. Let j(r) = -6*r**2 + r + 1. Let m(f) = 3*j(f) - 7*l(f). Let m(c) = 0. What is c?
-2/3, 2
Let j(h) = -h + 8. Let n be j(8). Let o(v) be the second derivative of -1/6*v**4 + v + n + 0*v**2 + 1/3*v**3. Factor o(s).
-2*s*(s - 1)
Suppose -3*q - o = -2*o - 10, 3*o + 10 = -q. Factor 8/9*f - 10/9*f**q + 8/9 - 2/3*f**3.
-2*(f - 1)*(f + 2)*(3*f + 2)/9
Suppose -2*q = -1 - 3. Determine c so that 0*c**3 + 4*c**3 - 3*c**3 - q*c**3 + c = 0.
-1, 0, 1
Suppose -110 - 6 = -29*v. Solve 0*p - 9/4*p**3 + 3/2*p**2 + 0 + 3/4*p**v = 0.
0, 1, 2
Let b(x) be the second derivative of x**7/420 - x**6/60 + x**5/30 - x**3/2 - 4*x. Let l(h) be the second derivative of b(h). Factor l(a).
2*a*(a - 2)*(a - 1)
Let f(c) be the first derivative of -7*c**6/120 + 19*c**5/80 - 5*c**4/16 + c**3/24 + c**2/4 + 4*c - 2. Let o(v) be the first derivative of f(v). Factor o(l).
-(l - 1)**3*(7*l + 2)/4
Determine n so that 96*n**2 - 33*n**4 - 41*n**3 + n**4 - 16*n - 43*n**3 - 164*n**4 = 0.
-1, 0, 2/7
Let f(b) be the second derivative of -b**6/90 + b**5/60 + b**4/12 - b**3/18 - b**2/3 + 6*b. Factor f(p).
-(p - 2)*(p - 1)*(p + 1)**2/3
Let w(p) be the third derivative of -p**7/525 + p**6/100 - p**5/75 + 6*p**2. Solve w(n) = 0.
0, 1, 2
Solve -2/9*d + 1/3 - 1/9*d**2 = 0.
-3, 1
Let w(k) be the second derivative of k**6/420 - 2*k**5/105 + k**4/21 + k**3/2 - 4*k. Let m(t) be the second derivative of w(t). What is g in m(g) = 0?
2/3, 2
Let a be (66 - 0)*30/(-135). Let d = a - -15. Factor -2/3*z + 2/3*z**3 - 1/3 + d*z**4 + 0*z**2.
(z - 1)*(z + 1)**3/3
Suppose -6*a = -13*a + 70. Suppose 0 + a = 5*t. Determine j, given that -2/5*j**3 - 54/5 - 54/5*j - 18/5*j**t = 0.
-3
Let j(g) be the first derivative of 1/6*g**4 + 0*g - 1 - 2/15*g**5 + 0*g**2 - 1/9*g**6 + 2/9*g**3. Factor j(o).
-2*o**2*(o - 1)*(o + 1)**2/3
Let c be (-2)/(-1740)*-3301 - -3. Let y = 1/174 - c. Suppose y*i + 0 + 6/5*i**4 - 6/5*i**2 - 4/5*i**3 = 0. Calculate i.
-1, 0, 2/3, 1
Let n(b) = b**2 + b - 1. Let f(y) = -2*y**3 + 4*y**2 + 4*y - 4. Let o(v) = -f(v) + 2*n(v). Determine h, given that o(h) = 0.
-1, 1
Suppose -2*d**3 + 3 + 7 - 6*d**2 - 2 + 0 = 0. Calculate d.
-2, 1
Let c(f) be the first derivative of -f**4 - 8*f**3/3 + 8*f**2 + 32*f - 45. Factor c(k).
-4*(k - 2)*(k + 2)**2
Let k(b) be the second derivative of -b**7/210 - b**6/150 + 3*b**5/50 - b**4/30 - b**3/6 + 3*b**2/10 + 8*b. Factor k(l).
-(l - 1)**3*(l + 1)*(l + 3)/5
Let d(k) be the first derivative of k**6/120 + k**5/60 - k**4/12 - 2*k**2 - 3. Let h(a) be the second derivative of d(a). Factor h(r).
r*(r - 1)*(r + 2)
Let s(d) = -6*d**3 + d + 1. Let n be s(-1). Suppose 4*i - n = -2*v - i, 2*v = -i + 6. Factor 7*f**v - 7*f**3 - 10*f**4 + 4*f**3.
-2*f**3*(5*f - 2)
Let f(c) be the first derivative of -10*c**6/3 + 12*c**5/5 + 12*c**4 + 16*c**3/3 + 24. Determine w, given that f(w) = 0.
-1, -2/5, 0, 2
Let k(i) = -i + 1. Let q(l) = -l**2 - 7*l + 2. Let r(v) = 12*k(v) - 3*q(v). Factor r(n).
3*(n + 1)*(n + 2)
Determine b so that -8/3*b + 0 + 4*b**2 = 0.
0, 2/3
Let o be (-57)/6 + 1/2. Let u = o - -11. Solve 0 + 2/3*s**3 - 2/3*s**u - 2/9*s**4 + 2/9*s = 0.
0, 1
Let g = 14 - 10. Find o such that -2*o**5 - 3*o**4 + 2*o**3 + 0*o**5 + o**4 + g*o**4 - 2*o**2 = 0.
-1, 0, 1
Let c(l) be the second derivative of 1/180*l**5 + 0*l**4 + 0 - l**2 - 1/18*l**3 + l. Let x(q) be the first derivative of c(q). Determine y so that x(y) = 0.
-1, 1
Let l = -3 + 7. Let q = 19 + -8. Let x(d) = 17*d**2 - 6. Let c(o) = -6*o**2 + 2. Let w(p) = l*x(p) + q*c(p). Find z, given that w(z) = 0.
-1, 1
Factor -3*x**3 + 7*x**2 + 0*x**3 - 4*x**4 - 11*x**2 - 5*x**3.
-4*x**2*(x + 1)**2
Let v(i) be the first derivative of -i**4/48 + i**2/8 - 2*i + 1. Let h(w) be the first derivative of v(w). Determine d, given that h(d) = 0.
-1, 1
Let z(x) be the third derivative of x**7/1155 + x**6/165 + x**5/110 - 11*x**2. What is p in z(p) = 0?
-3, -1, 0
Let g = -257/300 - -36/25. Let i = g + -1/12. Determine n so that -1 - i*n**2 - 3/2*n = 0.
-2, -1
Factor 5*i**2 + 3*i - 12*i - 2*i**2.
3*i*(i - 3)
Let g(z) be the third derivative of 0*z**6 + 0 + 0*z**3 - 1/120*z**5 + 0*z - z**2 + 1/420*z**7 + 0*z**4. Suppose g(l) = 0. What is l?
-1, 0, 1
Let u be 3/21 - 2*(-4)/(-56). Factor 0 + u*n**2 + 1/4*n**5 - 1/2*n**3 - 1/4*n**4 + 0*n.
n**3*(n - 2)*(n + 1)/4
Let g(z) be the second derivative of z**7/126 - z**6/90 - z**5/20 + z**4/36 + z**3/9 + 13*z. Suppose g(k) = 0. Calculate k.
-1, 0, 1, 2
Let f = 1 - -3. Factor 9*b - b**f + 15*b**2 - 2*b**4 - 6*b**3 + 9*b**3.
-3*b*(b - 3)*(b + 1)**2
Let s = -16 + 18. Suppose -121*d**2 - 13*d**s + 588*d**3 - 34*d**2 + 16*d - 686*d**4 = 0. What is d?
0, 2/7
Factor 21*m**2 + 10*m - 51*m**3 - 76*m**2 + 96*m**3.
5*m*(m - 1)*(9*m - 2)
Let f be ((-62)/(-279))/((-2)/(-18)). Suppose 2/5*r + 1/5 + 1/5*r**f = 0. Calculate r.
-1
Let s be ((-2)/(-6))/((-24)/(-30)). Let h(l) be the second derivative of 1/2*l**2 - 1/10*l**5 - 2/3*l**3 + 0 - 2*l + s*l**4. Let h(b) = 0. Calculate b.
1/2, 1
Let k(s) = 8*s**4 - 4*s**3 - 8*s**2 + 4*s + 1. Let m(u) = -u**4 - u**3 + u**2 + u + 1. Let x(l) = k(l) - m(l). Factor x(t).
3*t*(t - 1)*(t + 1)*(3*t - 1)
Suppose 12 = v + 4*k - 5*k, 0 = 2*k - 4. Let t = -11 + v. Factor 0 + 1/5*a**4 + 0*a + 1/5*a**5 - 1/5*a**t - 1/5*a**2.
a**2*(a - 1)*(a + 1)**2/5
Let -20*g**2 - 4/3*g**4 - 12*g + 0 - 28/3*g**3 = 0. What is g?
-3, -1, 0
Factor -2/15*g**3 - 2/15*g**4 + 0*g + 4/15*g**2 + 0.
-2*g**2*(g - 1)*(g + 2)/15
Let o(b) = b**4 + b**3 - b. Let k(g) = 9*g**4 - 3*g**3 + 6*g**2 - 6*g. Let a(h) = k(h) - 6*o(h). Suppose a(t) = 0. What is t?
0, 1, 2
Let j(a) be the third derivative of a**10/378 + a**9/1890 - 11*a**8/6720 - a**7/1260 + a**4/24 + 7*a**2. Let d(k) be the second derivative of j(k). Factor d(m).
m**2*(4*m + 1)**2*(5*m - 2)
Let t(p) = -6*p**3 + 3*p**2 + 4*p - 5. Let n(w) = w**3 - w**2 - w + 1. Suppose 3 = 2*k - 7. Let q(z) = k*n(z) + t(z). Solve q(y) = 0.
-1, 0
Suppose 29*q + 39 = 155. Factor 36/5*o**3 + 4/5*o**5 - 16/5*o**2 + 0 - 24/5*o**q + 0*o.
4*o**2*(o - 4)*(o - 1)**2/5
Factor -1/3*l + 0 + 1/3*l**2.
l*(l - 1)/3
Let c(l) = -l**2 + l - 1. Let b(i) = -6*i**2 + 27*i - 51. Let p(o) = b(o) - 3*c(o). What is f in p(f) = 0?
4
Let b be (2/((-8)/18))/(33 - 39). Let 3/2*o + b*o**2 + 0 = 0. What is o?
-2, 0
Factor -10 + 23 - 24*f - 4*f**2 - 33.
-4*(f + 1)*(f + 5)
Factor 3/5*y**2 - 12/5 + 9/5*y.
3*(y - 1)*(y + 4)/5
Suppose -3*t - 3 = 0, -5*v - 4*t - 5 = -1. Factor v*b - 4/7*b**2 + 0 - 6/7*b**3 + 2/7*b**5 + 0*b**4.
2*b**2*(b - 2)*(b + 1)**2/7
Let f(r) be the second derivative of r**4/12 - r**3/6 + r**2/2 + r. Let w be f(1). Factor -1 + 2*l**2 + w + 2*l.
2*l*(l + 1)
Suppose -4*p + 1 = -7. Let a(o) = o**2 - 2*o + 2. Let r(c) = -c**2 + 3*c - 3. Let z(x) = p*r(x) + 3*a(x). Factor z(w).
w**2
Let g(f) be the first derivative of -1/2*f**2 + 0*f - 1 + 5/8*f**4 + 1/2*f**3. Factor g(i).
i*(i + 1)*(5*i - 2)/2
Suppose -r + 0*r = 9. Let o(i) = i**2 + 9*i + 3. Let b be o(r). Find d such that b*d**3 - d**3 + 3*d + 3*d - 6*d**2 - 2 = 0.
1
Let n(v) be the third derivative of v**6/660 + v**5/110 + v**4/66 + 14*v**2. Factor n(w).
2*w*(w + 1)*(w + 2)/11
Suppose -9*r**3 + 347*r**2 - 335*r**2 + 7*r**4 - r**5 - 7*r**3 = 0. Calculate r.
0, 2, 3
Let p(y) be the third derivative of y**10/7560 - y**9/3780 - y**8/1680 + y**7/630 + y**4/12 + 2*y**2. Let i(x) be the second derivative of p(x). Factor i(h).
4*h**2*(h - 1)**2*(h + 1)
Let r be 1/3 + (-192)/36. Let s be (-44)/(-10) + 2/r. Factor 2/9*c**5 - 2/9*c**3 + 0 + 0*c**s + 0*c**2 + 0*c.
2*c**3*(c 