/2520 - t**6/90 + t**5/30 + 2*t**4/3 - 10*t**2. Let p(q) be the second derivative of s(q). Factor p(o).
-(o + 2)**2*(3*o - 1)
Let g(b) be the third derivative of b**9/378 + b**8/420 - b**7/210 - 4*b**3/3 + 28*b**2. Let l(p) be the first derivative of g(p). Factor l(y).
4*y**3*(y + 1)*(2*y - 1)
Factor 5/2*t**2 - 1/2*t**4 - t**3 + 3*t + 0.
-t*(t - 2)*(t + 1)*(t + 3)/2
Let s(z) be the first derivative of -3*z**2 + 2*z**4 + 0*z**5 + 2 - 1/3*z**6 + 4/3*z**3 - 4*z. Factor s(h).
-2*(h - 2)*(h - 1)*(h + 1)**3
Suppose 10*f - 8*f - 3*n = 7, -4*f + 11 = -3*n. Factor 2*u - 2*u**f + 1/2*u**3 + 0.
u*(u - 2)**2/2
Let g(q) = 7*q**2 + 48*q + 10. Let s(c) = -c**2 - 2*c - 2. Let i(x) = -g(x) + s(x). Solve i(m) = 0.
-6, -1/4
Let x(t) = -8*t**2 + 134*t - 2456. Let p(y) = 9*y**2 - 133*y + 2457. Let j(r) = -6*p(r) - 7*x(r). Factor j(w).
2*(w - 35)**2
Find r such that 5*r**2 + 5*r**2 + 4*r - 2*r**2 - 4 - 8*r = 0.
-1/2, 1
Let c(l) be the third derivative of 0 - 3*l**2 - 1/9*l**3 - 1/40*l**6 + 1/63*l**7 + 1/8*l**4 + 0*l - 2/45*l**5. Suppose c(h) = 0. Calculate h.
-1, 2/5, 1/2, 1
Let d be (2 - 2)*(3 - 2) - -2. Factor 3 - d*h**3 - h**3 - 5*h**2 + 2*h**2 + 3*h + 0*h**3.
-3*(h - 1)*(h + 1)**2
Let b(c) be the first derivative of -4*c**5/25 - 4*c**4/5 - 4*c**3/3 - 4*c**2/5 - 27. Factor b(i).
-4*i*(i + 1)**2*(i + 2)/5
Let q be -8 + 3 + 227/45. Let s(n) be the first derivative of -4 - 2/15*n**2 - 2/15*n - q*n**3. Factor s(r).
-2*(r + 1)**2/15
Let d(b) be the third derivative of -11*b**5/270 + 35*b**4/108 - 2*b**3/9 + 62*b**2. Determine i so that d(i) = 0.
2/11, 3
Let g = 179 + -175. Let c(f) be the first derivative of 0*f - 1/2*f**2 - 1/4*f**g - 6 + 2/3*f**3. Factor c(m).
-m*(m - 1)**2
Factor -22*a**4 + 26*a**4 + 179*a + 44*a**2 + 75*a**2 - 47*a + 69*a**2 + 60*a**3.
4*a*(a + 1)*(a + 3)*(a + 11)
Let m(n) be the third derivative of n**8/504 + 4*n**7/315 - 8*n**5/45 - 4*n**4/9 + 3*n**2 - 5. Factor m(f).
2*f*(f - 2)*(f + 2)**3/3
Let u(m) = -11*m**3 - 5*m**2 - 3*m + 1. Let q be u(4). Let i = -439 - q. Suppose -i - 2*j**3 + 356 + 2*j**4 = 0. What is j?
0, 1
Let v be ((-1498)/21 - -1)*(-6)/1030. Let o = v + -1/103. Solve 16/5*i - 32/5 - o*i**2 = 0 for i.
4
Let g(z) be the third derivative of z**8/504 - z**7/45 - z**6/180 + 7*z**5/90 + 8*z**2 + z. What is m in g(m) = 0?
-1, 0, 1, 7
Let c be 495/36*(-1 - (-33)/15). Let u(k) be the first derivative of 3*k**5 - 51/4*k**4 + 6*k - c*k**2 + 21*k**3 + 5. Find j such that u(j) = 0.
2/5, 1
Let q(w) be the first derivative of -w**3/9 - w**2/6 + 20*w/3 - 289. Let q(s) = 0. What is s?
-5, 4
Let p(j) be the first derivative of -j**6/39 + 16*j**5/65 - 8*j**4/13 + 14. Find i, given that p(i) = 0.
0, 4
Let z = -98/13 + 8. Suppose -2*j = 2*s - 13 + 5, 2*j - 10 = -3*s. Factor z*w + 4/13*w**s - 4/13.
2*(w + 2)*(2*w - 1)/13
Suppose -4*g = -3*f - 14, 42*g + 5*f = 37*g. Factor 3/2*p**3 - 6 + 6*p**g - 3/2*p.
3*(p - 1)*(p + 1)*(p + 4)/2
Let j(q) = -2*q + 31. Let c be j(13). Suppose -4 - 6 = -c*n. Factor 10/9*g + 4/9 + 2/3*g**n.
2*(g + 1)*(3*g + 2)/9
Factor 0*j**2 + 8/3*j**3 + 0*j - 7/3*j**5 + 26/3*j**4 + 0.
-j**3*(j - 4)*(7*j + 2)/3
Let z(j) be the third derivative of -j**5/120 - 3*j**4/16 - 2*j**3/3 + 7*j**2 - 1. Let z(n) = 0. What is n?
-8, -1
Let o(s) be the second derivative of -s**5/4 + 35*s**4/12 + 5*s**3/6 - 35*s**2/2 + 157*s. Suppose o(f) = 0. Calculate f.
-1, 1, 7
Let h(d) = d**4 - d**3 + 2*d + 2. Let z(n) = -n**4 - 53*n**3 + 486*n**2 - 1302*n + 858. Let g(p) = 3*h(p) + z(p). Factor g(f).
2*(f - 12)**2*(f - 3)*(f - 1)
Let r(n) be the first derivative of n**3/9 - 10*n**2/3 + 100*n/3 + 201. Solve r(s) = 0.
10
Suppose -r = -4*r + 75. Suppose 0 = -4*d + 9*d - r. Find g such that d*g**3 + g**4 + g**4 - 5*g**5 - 7*g**2 + 5*g**2 = 0.
-1, 0, 2/5, 1
Let w(o) be the first derivative of -2*o**3/33 - 27*o**2/11 + 56*o/11 + 70. Factor w(c).
-2*(c - 1)*(c + 28)/11
Let z(a) = -a + 1. Let o(q) = 2*q**2 + 74*q + 41. Let x(t) = -o(t) + 3*z(t). Factor x(s).
-(s + 38)*(2*s + 1)
Let c = -18953 - -985521/52. Let n = c - -12/13. Suppose -1/4*q**3 + 1/4*q**2 - n*q**4 + 0 + 1/4*q = 0. Calculate q.
-1, 0, 1
Let g(t) be the second derivative of t**5/35 + t**4/3 + 71*t. Factor g(h).
4*h**2*(h + 7)/7
Let z = -7 + 10. Suppose -v + z*v - 6 = 0. Determine b so that 2*b + 0 - 1 + 2*b**v + 4*b**2 + 1 = 0.
-1, 0
Let x(m) be the first derivative of m**5/30 + 7*m**4/12 - 14*m**2 + 33. Let j(s) be the second derivative of x(s). Factor j(z).
2*z*(z + 7)
Let h = 3365 - 20179/6. Factor h*i**2 - 13/6*i + 1/3.
(i - 1)*(11*i - 2)/6
Let y(r) be the first derivative of -2*r**3/39 + 31*r**2/13 + 39. Factor y(t).
-2*t*(t - 31)/13
Let d(m) be the first derivative of 5/4*m**5 + 35/12*m**4 - 7*m + 0*m**2 + 5/3*m**3 - 6. Let y(l) be the first derivative of d(l). Factor y(v).
5*v*(v + 1)*(5*v + 2)
Let k(y) be the third derivative of -y**8/9240 + y**7/4620 + y**3/6 + 9*y**2. Let c(j) be the first derivative of k(j). Find b, given that c(b) = 0.
0, 1
Let h(t) be the third derivative of -t**7/840 - t**6/24 - 5*t**5/8 - t**4/8 - 6*t**2. Let i(d) be the second derivative of h(d). Solve i(u) = 0.
-5
Let z(g) be the first derivative of -2*g**5/5 - 4*g**3 - 4*g**2 + 4. Let h(c) = c**4 + 12*c**2 + 8*c. Let k(u) = -6*h(u) - 5*z(u). Factor k(b).
4*b*(b - 2)*(b + 1)**2
Factor -267*a**2 - 15*a + 272*a**2 - 72*a + 405 - 3*a.
5*(a - 9)**2
Let z(k) = -k**3 - 7*k**2 - 11*k - 2. Let c be z(-2). Let l(o) be the first derivative of c*o + 4 + 3*o**2 + 2/3*o**3. Factor l(y).
2*y*(y + 3)
Let 8/11 + 0*o - 34/11*o**2 - 10/11*o**4 - 36/11*o**3 = 0. Calculate o.
-2, -1, 2/5
Find t such that -4/9*t + 10/9*t**2 - 2/9*t**3 - 16/9 = 0.
-1, 2, 4
Let l(h) be the second derivative of 3/8*h**5 + 0 + 0*h**3 + 7/60*h**6 - 44*h + 1/84*h**7 + 3/8*h**4 + 0*h**2. Factor l(z).
z**2*(z + 1)*(z + 3)**2/2
Let q(p) be the first derivative of -p**6 + 26*p**5/5 + p**4/3 - 320*p**3/9 + 128*p**2/3 + 488. Suppose q(j) = 0. What is j?
-2, 0, 1, 8/3
Suppose -p + 2*p = 5. Let x = 7 - p. Factor 6 - 10 - u + x*u**3 + 4*u**2 - u.
2*(u - 1)*(u + 1)*(u + 2)
Let z(v) = -22*v**2 + 3*v + 1. Let k be z(-1). Let l = k - -34. Determine g so that -8*g - 5*g**2 + l*g**2 + 15*g**2 = 0.
0, 2/5
Let h(y) = -17*y**3 + 44*y**2 + 49*y - 37. Let i(k) = 16*k**3 - 44*k**2 - 44*k + 36. Let w(m) = 4*h(m) + 5*i(m). Find b, given that w(b) = 0.
-1, 2/3, 4
Let b(h) be the first derivative of h**4/14 - 40*h**3/21 + 17*h**2/7 + 76*h/7 + 680. Suppose b(o) = 0. What is o?
-1, 2, 19
Let t(u) be the second derivative of -u**4/42 + 17*u**3/21 + 38*u**2/7 - 13*u + 10. Factor t(p).
-2*(p - 19)*(p + 2)/7
Let z(d) be the second derivative of 3*d**5/100 - d**4/2 - 23*d**3/10 - 18*d**2/5 - 11*d - 2. Suppose z(l) = 0. Calculate l.
-1, 12
Suppose -1 = -j, 8*j + 3168 = -5*g + 6*j. Let v = -8238/13 - g. Factor 0*o**4 + 2/13*o**5 + 0*o + 0 - 6/13*o**3 + v*o**2.
2*o**2*(o - 1)**2*(o + 2)/13
Let v(l) be the second derivative of -l**6/105 + l**5/7 + l**4/14 - 20*l**3/3 - 28*l**2 - 2*l - 166. Factor v(a).
-2*(a - 7)**2*(a + 2)**2/7
Suppose -3*a + 24 = 0, 2*y = 2*a - 68 + 56. Factor -30/7*c**y + 9/7*c**3 + 4*c - 8/7.
(c - 2)*(3*c - 2)**2/7
Let t be (-124)/64 - (-4 + 2). Let i(n) be the first derivative of t*n**4 + 1/8*n**2 - 4 - 1/6*n**3 + 0*n. Find f such that i(f) = 0.
0, 1
Factor -8/9*n**4 - 8/9*n**3 + 0*n - 2/9*n**5 + 0 + 0*n**2.
-2*n**3*(n + 2)**2/9
Let u(w) = 2*w**3 + 62*w**2 - 53*w + 17. Let h(n) = 20*n**2 - 18*n + 6. Let m(v) = 7*h(v) - 2*u(v). Factor m(d).
-4*(d - 2)*(d - 1)**2
Determine p, given that -3/4*p**5 - 306*p + 1083/4*p**2 + 108 - 63/4*p**4 - 225/4*p**3 = 0.
-12, 1
Let z(k) = -6*k + 27. Let d be z(4). Let f be (3 + -4)*d/(-6). Factor 1/2 - m**3 + m - f*m**4 + 0*m**2.
-(m - 1)*(m + 1)**3/2
Let x be -2*2/(-4) - (-37 + -10). Determine n so that 14*n**3 - 72*n**4 + 74*n + 14*n**3 - 90*n + x*n**2 - 19*n**5 - 17*n**5 = 0.
-2, -1, 0, 1/3, 2/3
Let m(v) be the second derivative of 1/120*v**4 + 1/30*v**3 + 0 - 3/20*v**2 - 7*v. Suppose m(h) = 0. What is h?
-3, 1
Let r(s) = 2*s**2 + 7*s + 5. Let h be r(-5). Let b be h/(-6)*12/(-20). Let -b*x**3 + 5*x**3 - 6 - 5*x**2 + 11*x**2 - 3*x = 0. Calculate x.
-2, -1, 1
Let d be (-1 - 2)*2 - (-5)/(5/6). Let 2*z**5 + 2/5*z - 8/5*z**4 + d - 12/5*z**3 + 8/5*z**2 = 0. Calculate z.
-1, -1/5, 0, 1
Let d(k) be the first derivative of -k**5/300 - k**4/120 + k**