 the second derivative of r(k). Factor p(s).
2*(s - 1)*(s + 1)
Let o(d) = d**5 - d**3 - 2*d**2 - d + 1. Let t(r) = 1456*r**5 - 8262*r**4 + 10910*r**3 - 4980*r**2 + 946*r - 66. Let x(g) = -4*o(g) - 2*t(g). Solve x(w) = 0.
2/9, 1, 4
Let o(g) be the third derivative of -g**2 - 1/3*g**4 + 0*g + 1/105*g**5 + 0 + 14/3*g**3. Solve o(a) = 0.
7
Suppose -6 = -b - 5*j, 3*b + b - 5*j - 24 = 0. Suppose p - y - b = -0*p, 0 = -4*p + 5*y + 26. Factor 3*g + 0*g**4 + 3*g**2 - p*g**4 + g**4 - 3*g**3.
-3*g*(g - 1)*(g + 1)**2
Suppose 5*r - 100 = -2*b, b = -4*r + 16 + 64. Let o = -14 + r. Factor -54*l - 12 + 21*l**3 - 19*l**2 + 4*l**2 + o*l.
3*(l - 2)*(l + 1)*(7*l + 2)
Let v(c) be the second derivative of -1/3*c**2 - 1/6*c**3 + 1/20*c**5 + 1/90*c**6 + 0 + 11*c + 1/36*c**4. Find s, given that v(s) = 0.
-2, -1, 1
Let -24/7*b - 26/7 + 2/7*b**2 = 0. Calculate b.
-1, 13
Let n(h) be the first derivative of 10*h**3/3 - 5*h**2/2 - 50*h - 129. Factor n(w).
5*(w + 2)*(2*w - 5)
Let m(h) be the second derivative of h**6/72 + h**5/8 + 2*h**3/3 - 5*h. Let s(k) be the second derivative of m(k). Find v such that s(v) = 0.
-3, 0
Let z = -250 - -253. Let j(u) be the first derivative of 1/24*u**4 + 1/12*u**2 + 0*u - z + 1/9*u**3. Let j(f) = 0. What is f?
-1, 0
Let d(g) be the second derivative of g**6/75 - 6*g**5/25 + 3*g**4/2 - 10*g**3/3 - 159*g. Factor d(y).
2*y*(y - 5)**2*(y - 2)/5
Let n be (-613 + 629)*(178/88 + -2). Factor 2/11*l**3 - n*l**2 + 0 - 6/11*l.
2*l*(l - 3)*(l + 1)/11
Suppose 4 - 10 = -3*w. Let r be (-5)/(-9) + 20240/(-56925). Solve 6/5*q - 9/5 - r*q**w = 0.
3
Determine d so that -14/15 - 26/15*d - 2/3*d**2 + 2/15*d**3 = 0.
-1, 7
Factor 18*n - 9/2*n**3 - 12 + 3/2*n**4 - 3*n**2.
3*(n - 2)**2*(n - 1)*(n + 2)/2
Let h(w) = w**3 + 2 + 7*w - 13*w**2 - w + 6*w. Let c be h(12). Factor 12*j**4 - 6*j**4 - 3*j**c - 3*j**4.
3*j**2*(j - 1)*(j + 1)
Let z(r) = -40*r + 2046. Let d be z(51). What is v in 0 + 11/2*v**3 - 7/2*v**5 + d*v**2 - 6*v**4 - 2*v = 0?
-2, -1, 0, 2/7, 1
Let i(l) be the first derivative of l**6/21 + 22*l**5/35 + 25*l**4/14 + 10*l**3/21 - 26*l**2/7 - 32*l/7 + 148. Solve i(q) = 0.
-8, -2, -1, 1
Let k be (0 + 3)/(236 + -224). Let a be 1/(-2) + 6/8. What is j in 1/4*j**2 + 0 + a*j - 3/4*j**3 + 1/2*j**5 - k*j**4 = 0?
-1, -1/2, 0, 1
Let c = 12569/10650 + -24/1775. Factor c*w**2 + 5/6*w**4 + 3/2*w**3 + 1/6*w**5 + 1/3*w + 0.
w*(w + 1)**3*(w + 2)/6
Let g be ((-172)/860)/((-2)/(-4)*(-1)/5). Find r such that -1/3*r**4 + r**3 - 4/3*r + 0*r**g + 0 = 0.
-1, 0, 2
Let k(g) = g**2 + 112*g + 738. Let r be k(-105). Factor 0 - 1/6*y**r + 1/2*y**2 - 1/3*y.
-y*(y - 2)*(y - 1)/6
Let u(n) = -n - 2. Let i be u(-4). Suppose -5*j + 15 + 7 - 22 - 5*j**i = 0. What is j?
-1, 0
Factor 0*i**3 - 90*i + 178*i + i**3 - 93*i + 4*i**2.
i*(i - 1)*(i + 5)
Factor -1/4*x**4 + 0*x**3 + 2 + 11/4*x**2 - 9/2*x.
-(x - 2)*(x - 1)**2*(x + 4)/4
Let k(u) be the second derivative of 1/10*u**5 + 0 - 1/6*u**3 + 5*u - 7/240*u**6 - 1/16*u**4 - 1/2*u**2. Let i(g) be the first derivative of k(g). Factor i(r).
-(r - 1)**2*(7*r + 2)/2
Let u(m) be the first derivative of 5*m**7/252 + 13*m**6/54 + 43*m**5/60 + m**4 - 14*m**3 + 45. Let g(n) be the third derivative of u(n). Solve g(i) = 0.
-4, -3/5
Let v(k) = -k**2. Let r(m) = m**3 - 5*m**2 + 7*m - 6. Let y be r(4). Let q(x) = 2*x**2 + 3*x - 2. Let d(w) = y*v(w) - 2*q(w). Solve d(f) = 0 for f.
-1, 2/5
Let f(l) = -l**2 + l + 6. Let u(r) = 8*r**2 + 20*r - 132. Let i(n) = -4*f(n) - u(n). Factor i(p).
-4*(p - 3)*(p + 9)
Suppose 0 = -5*n - 2*p + 222, 0 = -2*n + 2*p + 25 + 61. Let d be n/14 + (-9)/63. Factor 1/3*b**2 + 0*b + 0 - 1/3*b**d.
-b**2*(b - 1)/3
Factor 9*s**3 - 6*s**2 - 706*s + 707*s + 2*s**4 - 6*s**4.
-s*(s - 1)**2*(4*s - 1)
Let l(i) = -4 + 2*i**2 + 0*i**2 + 15 - 2*i. Let a(h) = 3*h**2 - 3*h + 12. Let z(p) = 5*a(p) - 6*l(p). Factor z(t).
3*(t - 2)*(t + 1)
Let s(z) = -21*z + 4. Let w be s(-1). Determine a so that -470*a**3 - 4*a**4 + 10 + 15*a**2 + 475*a**3 - w*a - a**4 = 0.
-2, 1
Let r(w) be the second derivative of w**6/10 - 3*w**5/2 + 6*w**4 - 11*w**3 + 21*w**2/2 - 2*w - 21. Factor r(c).
3*(c - 7)*(c - 1)**3
Let -1/5*m + 1/5*m**3 + 1/5*m**2 - 1/5 = 0. Calculate m.
-1, 1
Let y(q) = 8*q**2 + 6*q + 3. Let a be y(-1). Let g(x) be the first derivative of -6 + 64*x + 1/3*x**6 + 80*x**2 + 160/3*x**3 + 20*x**4 + 4*x**a. Factor g(d).
2*(d + 2)**5
Let o(g) be the second derivative of -g**9/75600 - g**8/16800 + g**6/1800 + g**5/600 + 3*g**4/4 - 19*g. Let b(y) be the third derivative of o(y). Factor b(a).
-(a - 1)*(a + 1)**3/5
Let i(z) be the first derivative of 0*z**5 - 8 - 1/2*z**6 + 9/4*z**4 - 2*z**3 + 0*z + 0*z**2. Suppose i(x) = 0. Calculate x.
-2, 0, 1
Let b(m) = 10*m**5 + 62*m**4 - 20*m**3 + 4*m + 4. Let n(s) = -11*s**5 - 63*s**4 + 20*s**3 - 3*s - 3. Let z(x) = 3*b(x) + 4*n(x). Suppose z(g) = 0. Calculate g.
-5, 0, 2/7
Let s(f) = 8*f**5 - 11*f**4 - 59*f**3 - 16*f**2 + 61*f + 27. Let o(n) = 4*n**5 - 6*n**4 - 30*n**3 - 8*n**2 + 30*n + 14. Let q(m) = 5*o(m) - 2*s(m). Factor q(l).
4*(l - 4)*(l - 1)*(l + 1)**3
Factor 2*n**3 - 13*n**2 - 55561 - 32*n - 3*n**3 + 55541.
-(n + 1)*(n + 2)*(n + 10)
Suppose -46*a + 17*a = 0. Let f(u) be the third derivative of 0*u**4 + 0 + a*u**3 + 1/160*u**6 - 8*u**2 + 1/80*u**5 + 0*u. Factor f(r).
3*r**2*(r + 1)/4
Let z(b) be the second derivative of b**4/48 + 25*b**3/12 - 13*b**2 - 227*b. Solve z(x) = 0 for x.
-52, 2
Suppose -14 + 50 = 4*s + 4*b, -3*b - 3 = -2*s. Let n(m) be the first derivative of -6 + 0*m**2 + 0*m - 1/5*m**5 - 1/4*m**4 + 1/3*m**3 + 1/6*m**s. Factor n(t).
t**2*(t - 1)**2*(t + 1)
Let i(y) be the second derivative of -y**8/26880 - y**7/3360 - y**6/960 - y**5/480 - y**4/6 - 5*y. Let g(r) be the third derivative of i(r). Factor g(w).
-(w + 1)**3/4
Let n be (-70)/(-28)*(-5)/((-25)/6). Factor -2*m**2 + 237*m - 12*m**2 + 2*m**2 - 234*m + 18*m**n + 3*m**5 - 12*m**4.
3*m*(m - 1)**4
Let y(w) be the third derivative of 0*w**6 + 0*w + 0*w**3 + 0*w**5 + w**2 - 1/840*w**7 + 0 - 1/1344*w**8 + 0*w**4. Factor y(u).
-u**4*(u + 1)/4
Factor 41*q**2 + 78*q - 7*q**2 - 4 - 31*q**2 + 4.
3*q*(q + 26)
Let p(l) be the third derivative of -l**7/105 + l**6/30 + 7*l**5/30 + l**4/3 + 71*l**2. Factor p(y).
-2*y*(y - 4)*(y + 1)**2
Let s(j) be the second derivative of 0 + 1/4*j**5 + j + 5/4*j**4 - 5/6*j**3 - 5*j**2 - 1/6*j**6. Suppose s(o) = 0. Calculate o.
-1, 1, 2
Let w(m) be the first derivative of -6*m + 3/5*m**5 - 7 - 5/2*m**2 + 13/4*m**4 + 11/3*m**3. Factor w(a).
(a + 1)**2*(a + 3)*(3*a - 2)
Factor 7 + 12 - 11 + 13 + 18*a - 5*a**2 + 2*a**2.
-3*(a - 7)*(a + 1)
Determine v, given that 4/11*v + 4/11*v**4 + 0 - 1/11*v**3 - 16/11*v**2 = 0.
-2, 0, 1/4, 2
Let f be (-16)/(-18)*-2*(45/72 + -1). Solve 4 - 2/3*p**2 - f*p = 0.
-3, 2
Suppose 3*c - 16 = -1. Suppose 0*i + c*i = 10. Find n, given that -2*n**2 - 6*n**2 + 8*n - n**4 + 16 + 46*n**3 - 9*n**4 - 52*n**i = 0.
-2/5, 1, 2
Let c be 820/(-1107)*3/(-5). Factor 0 - 4/9*s + c*s**2.
4*s*(s - 1)/9
Let n be (0 - -1)/((-10 - -6)/(-76)). Suppose -6*z - 6 + n - 3*z**2 + 5 + 3*z = 0. Calculate z.
-3, 2
Let l = -498/161 + 3265/483. Let -l - 4*w - 1/3*w**2 = 0. Calculate w.
-11, -1
Let y(n) be the third derivative of n**8/336 - 2*n**7/105 + n**6/40 - 5*n**2 - 21*n. Factor y(k).
k**3*(k - 3)*(k - 1)
Let c(x) be the third derivative of 1/70*x**7 + 1/112*x**8 + 0*x**3 + 0*x + 0*x**4 + 0 - 5*x**2 - 1/20*x**5 - 1/40*x**6. Let c(v) = 0. What is v?
-1, 0, 1
Factor -34/9*z**2 - 62/9*z - 10/3 - 2/9*z**3.
-2*(z + 1)**2*(z + 15)/9
Let a(o) = -4*o**2 - 5*o - 4*o**2 - 5*o - o**3 - 2*o**2 - 7. Let c be a(-9). Let 0*s - 2*s**2 + s**c - 6*s + 4*s = 0. Calculate s.
-2, 0
Suppose 41 = 41*l - 41. Let w(h) be the third derivative of 1/6*h**3 + 0 - 5*h**l - 1/120*h**5 + 0*h + 1/48*h**4. Factor w(o).
-(o - 2)*(o + 1)/2
Suppose 4*t**5 - 5*t**2 - 5*t**4 - 3*t**4 - 4*t + 13*t**2 + 0*t**4 = 0. Calculate t.
-1, 0, 1
Let v be ((-185)/(-26) - 7)*(25 - 13). Factor v + 2/13*u**2 - 12/13*u.
2*(u - 3)**2/13
Let d = 61 - 51. Factor d*h + 10*h + 8*h**2 - 12*h - 6*h**3.
-2*h*(h - 2)*(3*h + 2)
Let f = -91/83 - -929/166. What is a in f + 51/4*a + 21/4*a**2 = 0?
-2, -3/7
Let s be 1/(-1 + -3 + 7). Let t(u) be the second derivative of 0*u**2 + 1/6*u**4 - s*u**3 + 0 + 4*u. Suppose t(m) = 0. Calculate m.
0, 1
Let h = 4695 + -4692. Suppose -7/2*x - 5/2*x**2 - 1/2*x**4 + 7