 d(b) be the third derivative of -b**8/1008 - b**7/630 + b**6/360 + b**5/180 - 7*b**2. Let d(m) = 0. What is m?
-1, 0, 1
Let b(h) = 2*h**4 + 12*h**3 - 12*h - 2. Let c(x) = -3 + 2*x**4 + 2 - 6*x**3 + 10*x**3 - x**4 - 4*x. Let u(z) = 3*b(z) - 8*c(z). Suppose u(s) = 0. Calculate s.
-1, 1
Let n(k) be the third derivative of -k**7/1260 + k**6/144 - k**5/60 - k**4/36 + 2*k**3/9 + 2*k**2. Factor n(l).
-(l - 2)**3*(l + 1)/6
Let m(v) be the first derivative of 3*v**4/22 + 2*v**3/33 + 5. Factor m(z).
2*z**2*(3*z + 1)/11
Let d(j) be the first derivative of j**4/4 + 4*j**3/3 + 3*j**2/2 - 7. Factor d(z).
z*(z + 1)*(z + 3)
What is o in 225/8 + 1/8*o**2 + 15/4*o = 0?
-15
Let h(w) be the third derivative of w**8/10080 - w**7/1890 + w**6/1080 + 3*w**4/8 + 8*w**2. Let c(o) be the second derivative of h(o). Factor c(f).
2*f*(f - 1)**2/3
Suppose -3 = 5*s - 8. Determine j, given that s - 4*j**2 + 2 - 5 + 16*j - 14 = 0.
2
Let i(l) = l**4 - 3*l**3 + 4*l**2 + 2. Let t(n) = n**4 - n**3 + n**2 + 1. Let v(c) = -c**2 + 2. Let k be v(0). Let p(g) = k*i(g) - 4*t(g). Factor p(z).
-2*z**2*(z - 1)*(z + 2)
Suppose 2*c + 2*c = 0. Suppose c*j - 3*j = -12. Factor 0*b**2 + b**3 + j*b**2 - 5*b**2.
b**2*(b - 1)
Let l(v) be the third derivative of v**8/1344 - v**7/480 + v**6/720 - v**3/2 + 3*v**2. Let g(r) be the first derivative of l(r). Factor g(k).
k**2*(k - 1)*(5*k - 2)/4
Let q(p) be the first derivative of -7/2*p**2 - p + 3 - 2*p**3. Factor q(l).
-(l + 1)*(6*l + 1)
Let p(y) be the second derivative of y**5/60 - y**3/18 + 20*y. Factor p(r).
r*(r - 1)*(r + 1)/3
Let s(t) = -5*t**3 + 9*t**2 + 5*t. Let v(g) = -2*g - 3. Let y be v(-3). Let u(z) = 2*z**y - 4*z**2 - 2*z + 2 - 2. Let o(i) = -4*s(i) - 9*u(i). Factor o(d).
2*d*(d - 1)*(d + 1)
Suppose -4*a + k = 4*k - 27, -2*a = -k - 1. Let -2 - c**3 + 5*c + 2*c**a + 0*c**3 - 4*c**2 = 0. Calculate c.
1, 2
Let d(j) = -j - 1. Let a be d(-3). Factor -2*l**5 - 2*l - a - 12*l**3 + 0 - 8*l**4 - 8*l**2 + 2.
-2*l*(l + 1)**4
Let m(s) = 8*s**4 + 6*s**3 - 6*s. Let a(u) = 7*u**4 + 5*u**3 - 5*u. Let b be 6/(-1 + 4 + -2). Let g(j) = b*a(j) - 5*m(j). Factor g(c).
2*c**4
Let v be 3*(16/6 - 0). Let x = -6 + v. What is k in 1 + 0 - 2 + k**x = 0?
-1, 1
Factor 2/3*l**2 - 4/3*l + 0.
2*l*(l - 2)/3
Let a(d) be the second derivative of d**4/66 - 2*d**3/33 - 8*d**2/11 + 7*d. Factor a(v).
2*(v - 4)*(v + 2)/11
Let o(t) = t + 1. Let x be o(2). Find k such that 3*k**2 - 8 + 2 + 3 - 3*k + 3*k**x = 0.
-1, 1
Let b(a) be the third derivative of -a**7/105 + a**6/10 - 8*a**4/3 + 31*a**2. Factor b(g).
-2*g*(g - 4)**2*(g + 2)
Let n be 1/4*(-1616)/6. Let g = n - -68. Factor 0 + 2/3*o**2 + g*o**3 + 0*o.
2*o**2*(o + 1)/3
Let k(l) be the third derivative of l**11/831600 - l**9/75600 + l**7/12600 - l**5/20 + l**2. Let b(w) be the third derivative of k(w). Solve b(g) = 0.
-1, 0, 1
Let y(z) = -z**2 + 2*z + 2. Let j(u) be the first derivative of u**3/3 - u**2/2 - u + 1. Let h(p) = -2*j(p) - y(p). Factor h(s).
-s**2
Let z = 317 - 315. Solve 1/3 + z*d**2 - 7/3*d = 0.
1/6, 1
Let u(a) = 2*a**4 + 10*a**3 - 12*a**2 + 3*a. Let l(o) = -4*o**4 - 20*o**3 + 24*o**2 - 5*o. Let r(q) = 3*l(q) + 5*u(q). Factor r(x).
-2*x**2*(x - 1)*(x + 6)
Let i(b) be the second derivative of -b + 1/3*b**3 + 0 + 2/15*b**5 + 5/12*b**4 - b**2. Let l(s) be the first derivative of i(s). Let l(a) = 0. Calculate a.
-1, -1/4
Let w(x) = x**3 + 3*x**2 - x. Let s(c) = -c**2 - 2*c - 3. Let q be s(-2). Let h be w(q). Factor 0*n**3 - 3 - n**3 - 2*n**2 + h.
-n**2*(n + 2)
Let m(l) = -3*l**3 + 3*l**2 + 3*l. Let c(o) = -3*o**3 + 4*o**2 + 2*o. Let u(b) = 3*c(b) - 2*m(b). Solve u(v) = 0 for v.
0, 2
Let h be 18/(7/5 - 1). Let n be 280/h - (-4)/(-18). Factor 10*u**3 + 4*u**2 + n*u + 10*u**2 - 2*u.
2*u*(u + 1)*(5*u + 2)
Let z(n) = -6*n**2 - 12*n + 7. Let y(d) = 3*d**2 + 6*d - 3. Let b(i) = 7*y(i) + 3*z(i). Factor b(v).
3*v*(v + 2)
Factor 0*s - 6*s**2 + 3*s**2 + 0*s.
-3*s**2
Suppose 3*y = 5*l - 17, 0 = 2*y - 0*y - l + 9. Let q be -2 - (2 + y + -2). Solve 1/4*p**q + 0 - 1/4*p**5 - 3/4*p**3 + 3/4*p**4 + 0*p = 0.
0, 1
Let p(q) be the second derivative of -1/6*q**3 + 0 + 0*q**2 - 1/12*q**4 - 5*q. Factor p(b).
-b*(b + 1)
Let b(z) = -14*z**2 + 24*z - 48. Let c(n) = -5*n**2 + 8*n - 16. Let o(a) = 4*b(a) - 11*c(a). Determine g, given that o(g) = 0.
4
Let j(r) be the first derivative of 0*r**2 + 1/14*r**4 + 1 + 0*r**3 + 4/35*r**5 + 0*r + 1/21*r**6. Factor j(m).
2*m**3*(m + 1)**2/7
Factor 10/3*w**3 + 8/3*w + 0 - 2/3*w**4 - 16/3*w**2.
-2*w*(w - 2)**2*(w - 1)/3
Suppose -a = -3, 0 = 2*v - a + 1 - 2. Let -12/7 + 3/7*r**v - 12/7*r + 3/7*r**3 = 0. Calculate r.
-2, -1, 2
Factor -3 + 2*q - 1/3*q**2.
-(q - 3)**2/3
Factor -16*z**3 - 812 - 14*z**2 + 812 - 2*z**4.
-2*z**2*(z + 1)*(z + 7)
Let z = -180 + 902/5. Factor 0*j - 6/5*j**5 - 2/5*j**3 - z*j**2 + 0 + 2*j**4.
-2*j**2*(j - 1)**2*(3*j + 1)/5
Let w(v) be the first derivative of -v**6/120 + v**5/60 - v**2/2 + 2. Let q(g) be the second derivative of w(g). Factor q(u).
-u**2*(u - 1)
Let g be (22 - 16)*(1 + (-4)/6). Let b(y) = -y + 2. Let c be b(-2). Determine w, given that g*w**c + 2*w**2 - 1/2*w - 3*w**3 - 1/2*w**5 + 0 = 0.
0, 1
Let y be 0/(1 + (-12)/4). Let j(m) be the first derivative of y*m**2 + 0*m - 2/3*m**3 - 2*m**5 + 2*m**4 + 2/3*m**6 + 3. Factor j(f).
2*f**2*(f - 1)**2*(2*f - 1)
Let k(n) = 17*n**4 - 3*n**3 + 7*n**2 - 8*n - 13. Let d(q) = -8*q**4 + 2*q**3 - 4*q**2 + 4*q + 6. Let p(x) = 13*d(x) + 6*k(x). Find o, given that p(o) = 0.
0, 1, 2
Let q be (0 - -3)/(-1)*-1. Let o(p) be the third derivative of 0*p + 0 + 1/120*p**5 + 0*p**4 - 2*p**2 + 0*p**q. Find z such that o(z) = 0.
0
Let m(g) be the third derivative of 0*g + g**2 - 1/8*g**4 + 0 - 5/32*g**6 + 1/4*g**5 + 0*g**3. What is t in m(t) = 0?
0, 2/5
Let b(i) = i**3 + 2*i**2 - 3*i + 2. Let h(w) = -4*w**3 + w**2 + w - 1. Let j be h(1). Let l be b(j). Let 7 + 3*k**l - 5 - 12*k + 3 + 4 = 0. What is k?
1, 3
Find b such that 0 - 2/15*b + 2/15*b**2 = 0.
0, 1
Let w(h) be the second derivative of h**4/3 + 6*h. Let w(b) = 0. Calculate b.
0
Let p be (-437)/(-1254) + 2/(-11). Let o(i) be the first derivative of p*i**2 - 1/9*i**3 - 1/12*i**4 + 1/3*i - 2. Factor o(f).
-(f - 1)*(f + 1)**2/3
Factor 0 + 2/3*q**3 - 2/3*q**2 + 0*q.
2*q**2*(q - 1)/3
Suppose -5*i - 24 = 4*u, 5*i + 2*u = 7*u - 15. Let o(m) = 4*m**2 - m + 1. Let c(v) = 3*v**2. Suppose 28 - 3 = 5*h. Let j(k) = h*c(k) + i*o(k). Factor j(g).
-(g - 2)**2
Let u(f) be the second derivative of 0 - 1/9*f**3 - 1/18*f**4 + 2/3*f**2 + 3*f. Factor u(g).
-2*(g - 1)*(g + 2)/3
Let r = 22 - 18. Suppose -2*v = -2*q + 3*v - 9, -2*q = -2*v. Determine d, given that -d**2 + d**4 + q*d**r + 0*d**2 + 4*d**3 - 2*d - d**4 = 0.
-1, 0, 2/3
Let m(l) be the second derivative of -l**6/45 + l**5/45 + l**4/18 - 2*l**3/27 + 15*l. Determine t, given that m(t) = 0.
-1, 0, 2/3, 1
Let b(x) be the third derivative of x**5/40 - x**4/8 + x**2. Find o, given that b(o) = 0.
0, 2
Let o(m) be the third derivative of -m**5/80 + m**3/8 - m**2. Factor o(x).
-3*(x - 1)*(x + 1)/4
Factor 0 + i**3 + 2/3*i**2 - 1/3*i.
i*(i + 1)*(3*i - 1)/3
Let s(q) be the second derivative of 2*q**6/5 + 21*q**5/20 + q**4/2 - q**3/2 + 3*q. Factor s(c).
3*c*(c + 1)**2*(4*c - 1)
Let h(b) = b**2 + 3*b + 2. Let z be h(-4). Let s(j) = -j**2 + j. Let y(n) = 5*n**2 - 4*n - 1. Let m(w) = z*s(w) + y(w). Factor m(q).
-(q - 1)**2
Suppose 0 = 2*z - 22 + 18. Suppose 2/3*i**z + 0 + 0*i = 0. Calculate i.
0
Let r = -3 + 3. Let g(h) be the second derivative of r + 0*h**3 + 0*h**4 + 1/10*h**5 - 2*h - 1/15*h**6 + 0*h**2. Suppose g(s) = 0. Calculate s.
0, 1
Let b = -311/12 + 26. Let p(g) be the first derivative of -b*g**3 + 0*g + 1 + 1/16*g**4 + 1/20*g**5 - 1/8*g**2. Factor p(q).
q*(q - 1)*(q + 1)**2/4
Let j(t) be the first derivative of -4*t**3/3 + 2*t**2 + 8*t + 10. Determine p so that j(p) = 0.
-1, 2
Factor -36 - 25/4*x**2 - 42*x - 1/4*x**3.
-(x + 1)*(x + 12)**2/4
Let m(p) be the second derivative of -p**7/735 + p**6/210 - p**2/2 - p. Let q(o) be the first derivative of m(o). Solve q(u) = 0.
0, 2
Let h = -38 + 13. Let v = 25 + h. Suppose v + 2/7*b**2 + 2/7*b = 0. What is b?
-1, 0
Let c = -412/9 + 46. Let 4/9 - c*z**2 - 2/9*z = 0. Calculate z.
-2, 1
Let a(n) = 5*n**2 + 55*n. Let p(z) = -2*z**2 - 28*z. Let k(w) = 3*a(w) + 5*p(w). Solve k(s) = 0.
-5, 0
Let m(h) be the third derivative of h**