2 - 1/3.
(t - 1)*(t + 1)**3/3
Let s(r) = r**3 + 16*r**2 - 17*r + 3. Let j be s(-17). Factor -5*c**4 - 36 + 41 + 4*c + 10*c**j - 14*c.
-5*(c - 1)**3*(c + 1)
Let d(t) be the third derivative of t**7/105 + 7*t**6/60 - t**5/3 - 4*t**4/3 - 155*t**2. Factor d(u).
2*u*(u - 2)*(u + 1)*(u + 8)
Suppose -2*x - 3*x - 44 = -j, -5*j + 220 = 2*x. Let n = j + -44. Factor n + 0*f - 1/2*f**2 - 1/2*f**3.
-f**2*(f + 1)/2
Let p(i) be the second derivative of i**4/6 - 14*i**3 + 41*i**2 + 32*i + 1. Factor p(n).
2*(n - 41)*(n - 1)
Suppose -110*w + 37*w = 0. Factor 1/2*k**2 + 0*k + w + 1/6*k**3.
k**2*(k + 3)/6
Let s be -13 + 415/25 + -2. Factor -s*l**2 - 4/5*l**3 + 12/5*l + 0.
-4*l*(l - 1)*(l + 3)/5
Let i(r) be the second derivative of 1/3*r**7 + 0 + 23/15*r**6 + 0*r**2 + 27/10*r**5 + 13/6*r**4 - 8*r + 2/3*r**3. Factor i(p).
2*p*(p + 1)**3*(7*p + 2)
Factor 2/3*o**5 + 2*o**4 - 8/3*o**2 + 0*o**3 + 0 + 0*o.
2*o**2*(o - 1)*(o + 2)**2/3
Suppose -24*t = -52*t + 56. Let m(i) be the second derivative of 0 - 7*i + 0*i**t + 1/6*i**3 - 1/12*i**4. Factor m(s).
-s*(s - 1)
Let f = -9/3283 + 6611/16415. Determine p so that -f + 3/5*p**2 - 1/5*p**4 - 1/5*p + 1/5*p**3 = 0.
-1, 1, 2
Suppose -26*y - 19*y = -13*y. Let q(a) be the third derivative of y*a + 1/30*a**5 + 0*a**4 - a**2 + 0 - 1/60*a**6 + 0*a**3. Factor q(p).
-2*p**2*(p - 1)
Let g = 4938/5 - 986. Factor 2*q + 2/5*q**2 + g.
2*(q + 1)*(q + 4)/5
Suppose 4*t + 18 = 2*s, 2*s + 7 = -5*t + 52. Suppose -7*o = -s*o + 16. Find l, given that -3 - 4/3*l**o + 4*l = 0.
3/2
Solve 20/3*u**2 + 8/3*u - 32/3 + 4/3*u**3 = 0 for u.
-4, -2, 1
Let g be 10/30 + (-64)/(-6). Factor 5*r**3 + 2*r - r**2 + 3*r + g*r**2.
5*r*(r + 1)**2
Suppose 2*r - 6*r - 4 = 0. Let h be 4/2*r/2. Let s(w) = w**2 + w - 1. Let n(p) = -18*p**2 - 6*p + 9. Let t(v) = h*n(v) - 15*s(v). Factor t(g).
3*(g - 2)*(g - 1)
Let u(z) be the second derivative of -3*z**5/100 + z**4 - 37*z**3/10 + 27*z**2/5 - 342*z. Factor u(s).
-3*(s - 18)*(s - 1)**2/5
Let s = -121 + 268. Factor s*l**4 + 26*l**3 + 41*l**3 + 12*l**2 + 17*l**3.
3*l**2*(7*l + 2)**2
Let 0*i + 0 - 78/7*i**2 - 12*i**3 - 6/7*i**4 = 0. Calculate i.
-13, -1, 0
Factor -258*h + 24*h + 63*h**2 - 4563 - 66*h**2.
-3*(h + 39)**2
Let u be (-48)/456 - 70/(-304). Let k(a) be the first derivative of u*a**4 - 5 + 0*a**3 + 1/10*a**5 + 0*a + 0*a**2. Solve k(o) = 0 for o.
-1, 0
Let t be 4/(-6) + (-208)/(-104). Let l be (6/8)/((-6)/(-16)). Factor 0 + 1/3*o**3 + 4/3*o**l + t*o.
o*(o + 2)**2/3
Let o(h) be the third derivative of 0*h + 0*h**3 - 1/40*h**6 + 1/50*h**5 + 3*h**2 - 4 + 1/525*h**7 + 7/120*h**4. Solve o(t) = 0.
-1/2, 0, 1, 7
Let i(u) be the third derivative of -u**5/150 + u**4/60 + 2*u**3/5 - u**2 - 11. Suppose i(w) = 0. What is w?
-2, 3
Let f(l) be the second derivative of l**6/10 - 6*l**5/5 + 15*l**4/4 + 4*l**3 - 24*l**2 + 4*l + 20. Factor f(w).
3*(w - 4)**2*(w - 1)*(w + 1)
Let z(q) be the first derivative of q**6/18 - q**5/15 - 2*q**4/3 + 4*q**3/3 + 61. Factor z(g).
g**2*(g - 2)**2*(g + 3)/3
Let r = -2637 + 13217/5. Find y such that 8*y + 8/5 - 2*y**4 - 6/5*y**2 - r*y**3 = 0.
-2, -1/5, 1
Suppose -3*z - 4*n = 12, -3*n - 274 + 256 = 0. Find s, given that 46/3*s**z - 40/3*s**3 - 8*s**2 + 0 + 0*s - 10/3*s**5 = 0.
-2/5, 0, 2, 3
Let f = 713 + -710. Let p(v) be the second derivative of -1/18*v**4 + 4*v + 0 + 0*v**2 + 1/45*v**6 + 1/9*v**f - 1/30*v**5. Solve p(t) = 0.
-1, 0, 1
Let k(q) be the third derivative of q**7/1680 - q**6/360 + q**5/240 + 13*q**3/3 - 10*q**2. Let l(c) be the first derivative of k(c). Factor l(h).
h*(h - 1)**2/2
Solve -8/3*k**2 - 2/3*k + 0 - 4/3*k**3 + 2*k**5 + 8/3*k**4 = 0 for k.
-1, -1/3, 0, 1
Let o = -1280/7 + 184. Let y = -192 - -1346/7. Let -y*c**3 + 0 - 8/7*c + o*c**2 = 0. What is c?
0, 2
Determine s so that 639*s**2 - 734*s**2 - 30*s**3 + 35*s**3 = 0.
0, 19
Let o be -6*(-8)/12 + 1. Let i(b) = b**3 + 2*b**2 + 5*b - 5. Let y(x) = x**3 + 2*x**2 + 4*x - 4. Let w(l) = o*y(l) - 4*i(l). Factor w(k).
k**2*(k + 2)
Let d(b) = b**3 + 124*b**2 + 368*b + 607. Let l be d(-121). What is y in 14/9*y**l - 17/9*y - 1/3*y**3 + 2/3 = 0?
2/3, 1, 3
Let f(t) be the third derivative of -3*t**7/14 - 2*t**6/5 + t**5/4 + 3*t**4/4 - 338*t**2. Let f(p) = 0. What is p?
-1, -2/3, 0, 3/5
Let p(j) be the first derivative of j**6/15 - j**4/6 + 12*j + 1. Let q(a) be the first derivative of p(a). Factor q(y).
2*y**2*(y - 1)*(y + 1)
Let r(a) be the second derivative of a**6/140 - 3*a**5/140 - 3*a**4/56 + a**3/7 - 21*a**2/2 - 25*a. Let x(g) be the first derivative of r(g). Factor x(y).
3*(y - 2)*(y + 1)*(2*y - 1)/7
Let d(z) be the first derivative of z**4/12 + 5*z**3/6 + 18*z + 10. Let s(m) be the first derivative of d(m). Factor s(a).
a*(a + 5)
Let w(p) be the second derivative of -p**5/20 + 7*p**4/12 - p**3 - p + 14. Solve w(z) = 0.
0, 1, 6
Factor 0*n**2 + 2/3*n - 1/6*n**3 + 0.
-n*(n - 2)*(n + 2)/6
Let c(q) be the first derivative of -8*q**5/15 + 2*q**4/3 - q**3/3 + 3*q**2/2 - 3. Let k(t) be the second derivative of c(t). Factor k(n).
-2*(4*n - 1)**2
Factor 3/5*a**2 - 12/5*a + 9/5.
3*(a - 3)*(a - 1)/5
Suppose 7 = 15*b - 16*b, 0 = 3*x - 4*b - 28. Factor -2/5*o**3 + 2/15*o**5 + 0*o + x + 0*o**4 + 4/15*o**2.
2*o**2*(o - 1)**2*(o + 2)/15
Let l = -12815/7 - -1831. Factor 0 - l*b**3 + 6/7*b + 4/7*b**2.
-2*b*(b - 3)*(b + 1)/7
Let t(y) = -10*y**4 - 35*y**3 - 1440*y**2 - 1460*y + 2945. Let s(v) = v**4 + 4*v**3 + 160*v**2 + 162*v - 327. Let l(p) = 55*s(p) + 6*t(p). Factor l(u).
-5*(u - 7)*(u - 1)*(u + 3)**2
Let v be (-7)/(-14) - (16/40 + -5)/2. Factor -2/5*a**2 - v + 16/5*a.
-2*(a - 7)*(a - 1)/5
Suppose 15/7*k**3 + 0 + 48/7*k**2 - 64/7*k + 1/7*k**4 = 0. What is k?
-8, 0, 1
Let u(c) be the second derivative of -12*c + 1/168*c**7 + 0 + 3/80*c**5 + 0*c**2 + 0*c**3 + 1/40*c**6 + 1/48*c**4. Factor u(q).
q**2*(q + 1)**3/4
Let f(z) be the third derivative of z**5/10 - 11*z**4/48 - z**3/12 + z**2 - 29*z. Suppose f(a) = 0. Calculate a.
-1/12, 1
Let d(y) be the first derivative of -44 + 0*y**5 + 100/9*y**3 + 25/2*y**2 + 20/3*y - 5/18*y**6 + 25/6*y**4. Factor d(k).
-5*(k - 4)*(k + 1)**4/3
Suppose 0*q = -2*q - 4*l + 6, 0 = 3*l. Let t be ((-85)/(-210))/1 + 16/168. Factor -1/2 + t*m**2 - 1/4*m**q + 1/4*m.
-(m - 2)*(m - 1)*(m + 1)/4
Factor 640/3 + 992/3*v + 104/3*v**3 + 176*v**2 + 4/3*v**4.
4*(v + 2)**3*(v + 20)/3
Suppose -3*a - 3*y = -0*y + 15, 55 = -3*a + 5*y. Let l be a/(-12) + (-5)/30*-4. Find p such that -1/2*p**5 - 3/2*p**3 - 1/2*p**2 - l*p**4 + 0 + 0*p = 0.
-1, 0
Let f = 2939/5886 - -2/2943. Let 0 + f*k**2 - 2*k = 0. What is k?
0, 4
Let x = 19171 - 57505/3. Factor -2/3*n**2 + x + 0*n.
-2*(n - 2)*(n + 2)/3
Factor -2/21*p**4 + 6/7*p + 22/21*p**3 - 38/21*p**2 + 0.
-2*p*(p - 9)*(p - 1)**2/21
Determine m so that -2/3*m**5 + 4/3*m - 26/3*m**2 + 10/3*m**4 - 2/3*m**3 + 16/3 = 0.
-1, 1, 2, 4
Let t(k) be the first derivative of 2*k**5/45 + 7*k**4/36 - 2*k**3/9 - 33*k**2/2 + 5. Let y(l) be the second derivative of t(l). Factor y(v).
2*(v + 2)*(4*v - 1)/3
Suppose -8 - 4 = -4*d. Solve -13*z**2 - 26*z + 62*z + 81*z**2 - 484*z**d - 96*z**4 + 36*z**2 - 8 + 448*z**5 = 0 for z.
-1, -2/7, 1/4, 1
Let a be 28/(-308) + 1*(-4)/(-44). Find v, given that 0 - 1/3*v**3 + a*v**2 + v**5 + 0*v - 2/3*v**4 = 0.
-1/3, 0, 1
Let f be ((-54)/(-15))/(2 + (-16)/10). Suppose f*r - 10 = 4*r. Factor 0 + 1/5*t**r - 3/5*t.
t*(t - 3)/5
Let w = 8 - 3. Let u(t) be the third derivative of -1/30*t**w + 0*t - 1/4*t**4 + 0 - 5*t**2 + 0*t**3. Find b such that u(b) = 0.
-3, 0
Suppose 3*a - 6 = 0, 4*a - 34 = -5*u - 6. Let w be (-6)/4*(23/3 - 9). Solve 0*h + 0 - 2/3*h**3 - w*h**u + 4/3*h**2 = 0.
-1, 0, 2/3
Let s = 117 - 124. Let p = -7 - s. What is x in -3/2*x**2 + 3/2*x + p - 3/2*x**3 + 3/2*x**4 = 0?
-1, 0, 1
Let t(y) be the second derivative of 2*y**5/7 + 11*y**4/7 + 6*y**3/7 - 3*y + 4. Suppose t(m) = 0. What is m?
-3, -3/10, 0
Let h be (2/6)/(3/9). Let j(t) = 12*t**4 + 14*t**3 - 34*t**2 + 14*t - 6. Let y(p) = -p**3 + p**2 - p + 1. Let u(i) = h*j(i) + 6*y(i). Solve u(l) = 0.
-2, 0, 1/3, 1
Let i be -2 + 491/2*1/14. Let n = i + -61/4. Suppose n*p**3 - 2/7*p**4 + 6/7*p**2 + 4/7 - 10/7*p = 0. Calculate p.
-2, 1
Let d(g) = -2*g**4 + 38*g**3 + 106*g**2 + 110*g + 44. Let c(w) = -w**3 - w**2 - w - 1. Let o(q) = -10*c(q) - d(q). Let o(k) = 0. Calculate k.
-1, 17
Let r be (-226)/60 - (0 - (-11 + 15)). Let u(g) be the second d