the second derivative of -x**7/21 + 4*x**6/15 - 7*x**4/3 + 17*x**3/3 - 6*x**2 + 2*x + 13. Factor g(k).
-2*(k - 3)*(k - 1)**3*(k + 2)
Let k(p) = -4*p**5 + 3*p**4 - 10*p**3 + 12*p**2 - 11*p - 5. Let u(b) = -5*b**5 + 3*b**4 - 9*b**3 + 11*b**2 - 12*b - 6. Let w(j) = -6*k(j) + 5*u(j). Factor w(m).
-m*(m - 1)**3*(m + 6)
Let w(k) = -k**2 - k**2 + 4*k**2 + 22 + 15*k - 7*k**2. Let t(h) = -1. Let n(q) = 2*t(q) + w(q). Solve n(l) = 0.
-1, 4
Let w(q) = -q + 2. Let r be w(2). Let a = -146 - -148. Factor -3/4*h**a + 3/4*h + r.
-3*h*(h - 1)/4
Let x(f) = -29*f**3 - 36*f**2 - 7*f - 17. Let o(c) = -5*c**3 - 6*c**2 - c - 3. Let t(q) = 34*o(q) - 6*x(q). Factor t(i).
4*i*(i + 1)*(i + 2)
Let g(p) be the third derivative of 0*p**3 - 1/70*p**7 + 0 - 1/40*p**6 + 4*p**2 + 1/8*p**4 + 1/20*p**5 + 0*p. Suppose g(h) = 0. What is h?
-1, 0, 1
Let x = -167279/204 - -820. Let s(u) be the third derivative of 3*u**2 - x*u**4 - 1/510*u**5 + 0*u + 0 + 0*u**3. Find k such that s(k) = 0.
-1, 0
Suppose -2*r - 3*v + 23 = 0, -v - 5 - 2 = -3*r. Factor -11*d**r - 2*d + 9*d**4 + 6*d - 10*d**2 + 8*d**3.
-2*d*(d - 2)*(d - 1)**2
What is x in -19*x**3 - 13*x**3 + 142*x**2 + 3*x - 224*x**2 + 14*x**4 + 104*x**2 - 7*x = 0?
0, 2/7, 1
Suppose -u - 4*u + 45 = -2*i, 0 = 4*i + 4*u + 20. Let b = i - -16. Let 2*z + b*z**2 - 3*z**2 - z**2 = 0. What is z?
-1, 0
Let p(t) = -t**3 + 7*t**2 - 10*t + 12. Let c(s) = s**3 - 6*s**2 + 8*s - 8. Let j(x) = -3*c(x) - 2*p(x). Factor j(w).
-w*(w - 2)**2
Let h(l) be the third derivative of 0 + 3*l**2 + 1/240*l**6 - 1/120*l**5 + 0*l + 3/4*l**3 - 3/16*l**4. What is j in h(j) = 0?
-3, 1, 3
Let m(y) = -15*y**2 - 437*y - 56. Let s be m(-29). Let 0*k**s - 2/17*k**3 + 0 + 0*k = 0. Calculate k.
0
Let q(w) = 2*w**2 - 3*w + 2. Let h be q(2). Factor -405*p - 50*p**3 + 540*p**2 + 25*p**3 - 5*p**5 + 60*p**h - 245*p**3.
-5*p*(p - 3)**4
Let o be 17 + (4 - (-1 - 1)). Let c(i) = 2*i - 44. Let v be c(o). Suppose 21/4*k**v - 3 + 9*k = 0. What is k?
-2, 2/7
Factor 11/3*z + 0 - 17/3*z**2 + 5/3*z**4 + 1/3*z**3.
z*(z - 1)**2*(5*z + 11)/3
Factor 4/13*s - 2/13*s**2 + 6/13.
-2*(s - 3)*(s + 1)/13
Let x(d) = -47*d**2 - 97*d - 2. Let r be x(-2). Factor -4/9*k**3 + 2/9*k**r + 2/9*k - 4/9*k**2 + 2/9*k**5 + 2/9.
2*(k - 1)**2*(k + 1)**3/9
Let a(g) = -g**3 + 4*g**2 + 4*g - 4. Let m be a(4). Let h be m/(-10)*16/(-32). Factor -3/5*z**4 + h*z**3 + 1/5*z**5 - 1/5*z**2 + 0*z + 0.
z**2*(z - 1)**3/5
Let o(d) be the third derivative of d**5/90 + d**4/18 - 8*d**3/3 - 155*d**2. Factor o(h).
2*(h - 4)*(h + 6)/3
Factor 80370*n - 80370*n - 4*n**5 - 12*n**4.
-4*n**4*(n + 3)
Suppose 2*b = -5 - 7. Let c be (-6 - b)*(-2)/6. Factor -1/2*a**3 + c - 3/2*a**2 - a.
-a*(a + 1)*(a + 2)/2
Let k(l) = -l**4 - l**3 - l**2 - l + 1. Let n = 39 + -37. Let o(q) = -4*q**4 - 3*q**3 - q**2 - 3*q + 2. Let x(z) = n*o(z) - 6*k(z). Find g such that x(g) = 0.
-1, 1
Let h(c) be the third derivative of -c**8/224 - c**7/28 + c**6/8 + c**5/2 - 3*c**4/2 + 3*c**2 + 131*c. Solve h(w) = 0 for w.
-6, -2, 0, 1, 2
Suppose 362*i - 358*i - 8 = 0. Let k be 1/((-1)/32*-3). Solve 22/3*u**4 + k*u**i - 5/3*u**5 - 13/3*u + 2/3 - 38/3*u**3 = 0 for u.
2/5, 1
Suppose 4*u - 108 = -8*u. Determine b, given that 2 - u - 5*b + 3*b**3 + 1 - 4*b = 0.
-1, 2
Let f be 2/12 + 15/18 + 2. Suppose -2696*n + 18*n**f + 42*n**3 - 24 + 2596*n - 64*n**2 = 0. What is n?
-3/5, -1/3, 2
Let d = 3023/5 + -604. Solve d*c**2 - 3/5 + 0*c = 0.
-1, 1
Let p = -3528 - -52924/15. Factor -8/15*h**2 - 2/15*h**3 - 2/3*h - p.
-2*(h + 1)**2*(h + 2)/15
Let v(x) be the second derivative of -x**6/300 + 7*x**5/150 - x**4/6 + 47*x**2/2 + 29*x. Let l(j) be the first derivative of v(j). Factor l(o).
-2*o*(o - 5)*(o - 2)/5
Suppose -8*h = -13*h + 20. Factor -h*r**3 - 16 - 1352*r - 15*r**2 - 9*r**2 + 1316*r.
-4*(r + 1)**2*(r + 4)
Let j be (64/24 + -2)/1. Factor 0 + 6/5*f**4 - j*f**2 + 2/15*f + 2/5*f**3.
2*f*(f + 1)*(3*f - 1)**2/15
Let y(h) be the first derivative of -2*h**5/45 + h**4/18 + 98*h**3/27 - 49*h**2/9 + 91. Factor y(x).
-2*x*(x - 7)*(x - 1)*(x + 7)/9
Let d(g) be the second derivative of 0 - 3*g**2 + 1/4*g**4 - 29*g - 1/2*g**3. What is t in d(t) = 0?
-1, 2
Let d(c) = c**2 - c - 2. Let s(v) = 257*v**2 - 961*v + 898. Let l(z) = -d(z) + s(z). Find o, given that l(o) = 0.
15/8
Let s(f) be the first derivative of 2*f**3/21 + 29*f**2/7 + 156*f/7 + 373. Factor s(o).
2*(o + 3)*(o + 26)/7
Suppose 158 = -32*w + 84*w - 50. Factor 4/7*j**3 + 0 - 18/7*j - 2/7*j**5 - 8/7*j**w + 24/7*j**2.
-2*j*(j - 1)**2*(j + 3)**2/7
Let i(k) be the second derivative of 0*k**3 + 0 + 4*k + 1/54*k**4 - 1/9*k**2. Factor i(n).
2*(n - 1)*(n + 1)/9
Let p(r) be the third derivative of -r**7/70 - r**6/4 - 6*r**5/5 - 11*r**4/4 - 7*r**3/2 - 168*r**2 - 2*r. Find b such that p(b) = 0.
-7, -1
Let i be 9/3 + (-408)/424 + 8/(-212). Find q such that 0 + 6/17*q**i - 2/17*q**3 - 4/17*q = 0.
0, 1, 2
Suppose 3 = -3*c, -4*v + 5*c + 13 = 236. Let d = -57 - v. Solve 2/5*x**2 + d + 0*x - 1/5*x**3 = 0.
0, 2
Factor 3*y**2 + 0 + 0*y + 3/4*y**3.
3*y**2*(y + 4)/4
Let r(k) be the third derivative of k**5/450 - k**4/30 + k**3/5 + 254*k**2. Let r(a) = 0. What is a?
3
Suppose 33*a = -27*a + 76*a - 48. Factor 3/2*r**4 + 1/2*r**2 + 0*r + 0 + 1/2*r**5 + 3/2*r**a.
r**2*(r + 1)**3/2
Factor 15*v**3 + 3*v**4 - 18*v**3 + 15*v**3 + 12*v**2.
3*v**2*(v + 2)**2
Let l(s) be the third derivative of 2*s**7/105 + 2*s**6/15 - s**5/5 - 5*s**4/3 + 16*s**3/3 - 280*s**2. Factor l(k).
4*(k - 1)**2*(k + 2)*(k + 4)
Let l(n) be the third derivative of -2*n**7/105 + n**6/15 + n**5/15 - n**4/3 + n**2 + 88*n. Factor l(t).
-4*t*(t - 2)*(t - 1)*(t + 1)
Let j be (-4)/(2*(-4)/(-8)). Let m be j/18 + 4/18. Suppose 0 + 3*k**5 - 6*k**3 + 3*k + m*k**5 - 4 + 3*k**4 + 7 - 6*k**2 = 0. What is k?
-1, 1
Factor -37/2*r + 18*r**2 + 25/4 - 11/2*r**3 - 1/4*r**4.
-(r - 1)**3*(r + 25)/4
Let s(t) be the first derivative of t**5/200 + t**4/15 + t**3/12 - 5*t**2/2 - 18*t - 1. Let g(x) be the first derivative of s(x). Factor g(q).
(q - 2)*(q + 5)**2/10
Let q be (6 - 6) + 10/(1 - -1). Let f(k) be the first derivative of 2/3*k**3 + 0*k**2 + 1/2*k**4 - 2/5*k**5 - 1/3*k**6 - q + 0*k. Factor f(a).
-2*a**2*(a - 1)*(a + 1)**2
Let h be (((-10)/(-40))/((-9)/60))/((-2)/6). Factor 1/4*k**h - 3/4*k**3 - 1/2*k**2 + 0 + 0*k**4 + 0*k.
k**2*(k - 2)*(k + 1)**2/4
Suppose 5*s = 2*w + 9, 0*s + s - 9 = -2*w. Determine z so that -10 - 55*z - 21*z**3 + 4 - 4 - 105*z**2 - 25*z**4 - 64*z**w = 0.
-1, -2/5
What is r in -2/11*r**3 + 80/11 + 28/11*r**2 - 8*r = 0?
2, 10
Suppose 0 = -5*a + 804 - 104. Let l be (-1)/4 - ((-955)/a + 6). Let -12/7*k**4 + 12/7*k**3 + 0 + 0*k + 4/7*k**5 - l*k**2 = 0. What is k?
0, 1
Let r be (2 + (-1941)/12)/(42/96). Let p = 366 + r. Determine y so that 2/7*y**2 + p + 8/7*y = 0.
-3, -1
Suppose -11 = 26*p - 271. Let h(y) be the first derivative of 10 - p*y + 5/4*y**4 - 15/2*y**2 + 0*y**3. Factor h(o).
5*(o - 2)*(o + 1)**2
Let z(f) be the third derivative of 0*f - 2/15*f**5 + 1/42*f**7 + 0 + 0*f**3 - 1/6*f**4 + 7/120*f**6 - 14*f**2. Solve z(i) = 0 for i.
-2, -2/5, 0, 1
Let z be 14 - 0 - (-6)/(-6). Let l be (-12)/(-30) - z/(-5). Factor 4*x**2 - l*x**2 - 3*x**2 + 4*x**2.
2*x**2
Let j = 757/18 + -42. Let o(z) be the third derivative of 1/180*z**6 + 7/36*z**4 + 0*z + j*z**5 + 1/3*z**3 + z**2 + 0. Solve o(q) = 0.
-3, -1
Suppose 20*u - 69 = 31. Find f such that -4/7*f**3 + 2/7 - 8/7*f**2 + 6/7*f**4 + 4/7*f**u + 0*f = 0.
-1, 1/2, 1
Let y(i) be the first derivative of -i**6/2160 + i**5/240 + 2*i**3/3 - 7. Let s(u) be the third derivative of y(u). Suppose s(n) = 0. What is n?
0, 3
Let s(f) be the second derivative of 1/20*f**5 - 4*f - 1/4*f**4 - 1/2*f**2 + 0 + 1/2*f**3. Solve s(d) = 0.
1
Let u = -1029 + 1041. Let x(r) be the second derivative of -1/80*r**5 + 0*r**2 + 0 - 1/24*r**3 - 1/24*r**4 + u*r. Suppose x(a) = 0. Calculate a.
-1, 0
Factor 3/7*y**3 + 3/7*y**2 - y - 1/7*y**4 - 6/7.
-(y - 3)*(y - 2)*(y + 1)**2/7
Let q(r) be the first derivative of -r**4 + 8*r**3/3 + 160*r**2 + 736. Find j, given that q(j) = 0.
-8, 0, 10
Let u be (-2)/4 - (-1)/(-2). Let q be -4 + 3 + (u - (-5)/2). Let 1/2*p + 1/2*p**4 - 1/2*p**3 + 0 - q*p**2 = 0. Calculate p.
-1, 0, 1
Let g = -44 + 44. Suppose -2*l - 5*c + 6 = g, 4*c - 17 + 5 = -4*l. Factor -30/7*h**l + 22/7*h**4 - 6/7*h**5 - 4/7*h + 18/7*h**2 + 0.
-2*h*(h - 1)**3*(3*h - 2)/7
Let 1807 - 2*