e third derivative of -p**8/560 - 179*p**7/350 - 1197*p**6/20 - 7047*p**5/2 - 747225*p**4/8 + 820125*p**3/2 + 471*p**2. Factor d(b).
-3*(b - 1)*(b + 45)**4/5
Let r(p) be the third derivative of -p**8/448 + 11*p**7/840 - p**6/240 - 7*p**5/120 + 5*p**4/96 + p**3/8 + p**2 + 18. Solve r(i) = 0.
-1, -1/3, 1, 3
Let f(s) = -17*s**2 - s + 18. Let j(i) = -20*i**2 - 2*i + 20. Let c(h) = -7*f(h) + 6*j(h). Suppose c(q) = 0. What is q?
-3, -2
Suppose 6*u - 36 = 3*u. Suppose -4*i + 2*i + u = 0. Let m(l) = -5*l**2 + 6. Let t(s) = -s**2 + 1. Let k(j) = i*t(j) - m(j). Factor k(a).
-a**2
Factor 124/3*w + 2/3*w**2 - 42.
2*(w - 1)*(w + 63)/3
Suppose 3*w + 12 = -3*i, i - 4*w - 16 = 4*i. Let v(f) be the first derivative of 1/10*f**5 - 1 + 0*f**3 + 0*f + 0*f**2 + i*f**4. Factor v(n).
n**4/2
Let v(j) be the third derivative of -j**5/540 + 2*j**4/27 - 5*j**3/18 - 3*j**2 + 7. Solve v(f) = 0 for f.
1, 15
Factor -24/5*g**2 + 54/5*g - 27/5 + 3/5*g**4 - 6/5*g**3.
3*(g - 3)*(g - 1)**2*(g + 3)/5
Let a = 397 - 2778/7. Suppose 1/7 - a*n**2 + 0*n = 0. What is n?
-1, 1
Let q(k) be the second derivative of k**8/6720 + k**7/1260 - 7*k**6/720 + k**5/30 + k**4/2 + 26*k. Let o(s) be the third derivative of q(s). Factor o(w).
(w - 1)**2*(w + 4)
Let t = -17 - -19. Determine w so that 10 - 8*w**t + 20*w**3 - 2*w**2 - 35*w - 15*w**2 = 0.
-1, 1/4, 2
Let z(m) be the second derivative of m**5/4 + 155*m**4/12 - 5*m + 8. Factor z(t).
5*t**2*(t + 31)
Let r = -1421 - -1425. Let j(c) be the second derivative of 0 - 3/8*c**3 + 1/8*c**r + 8*c - 1/80*c**5 + 0*c**2. Suppose j(a) = 0. What is a?
0, 3
Suppose 14 = 5*s + 2*s. Solve 13*g**s + 3*g**2 - 20*g - 8*g**2 - 12 = 0.
-1/2, 3
Let a(u) be the second derivative of 11*u - 16/3*u**3 - 2/7*u**7 - 42/5*u**5 + 0*u**2 - 38/15*u**6 - 12*u**4 + 2. Factor a(h).
-4*h*(h + 2)**3*(3*h + 1)
Let g = 1739/217 - 213/31. Find b such that 2/7*b**2 + g*b + 0 = 0.
-4, 0
Suppose 0 = 4*z + z - 50. Solve -6*m**2 + 19*m**2 - z*m**2 = 0.
0
Let x(y) be the second derivative of y**7/273 + 7*y**6/195 + 9*y**5/65 + 10*y**4/39 + 8*y**3/39 - 221*y. Factor x(o).
2*o*(o + 1)*(o + 2)**3/13
Let w(u) be the third derivative of -u**5/210 + 157*u**4/42 - 24649*u**3/21 + 217*u**2. Factor w(f).
-2*(f - 157)**2/7
Suppose -16 + 13 = -j. Factor -8*y**3 - 40*y - j*y**3 + 5*y**3 - 45*y**2 + y**3.
-5*y*(y + 1)*(y + 8)
Let w(c) be the first derivative of -c**5/15 + 7*c**4/6 + 5*c**3/3 + 37. Factor w(i).
-i**2*(i - 15)*(i + 1)/3
Let u(k) be the first derivative of -k**6/6 + 19*k**4/4 - 2*k**3 - 36*k**2 + 653. Factor u(h).
-h*(h - 3)**2*(h + 2)*(h + 4)
Let s(z) = 2*z**3 + 13*z**2 + 6*z + 16. Let o be s(-5). Suppose 217 = 13*m + o. Find l, given that 20*l**2 + 44/3*l**3 + m*l + 8/3 + 4*l**4 = 0.
-1, -2/3
Suppose 6*y - 50 = -14. Suppose -4*s - 3 = -11*g + 6*g, 3*s = g + y. Find i, given that 6/7*i**g + 15/7*i**2 + 0 + 6/7*i = 0.
-2, -1/2, 0
Let x(v) = 14*v - 9. Let t(f) = 5*f - 3. Let y(u) = -17*t(u) + 6*x(u). Let k be y(-5). Solve 1 + 1 + 9*i - k - 6 + 15*i**2 = 0 for i.
-1, 2/5
Let d be (-1 - 2/(-3))/((-1)/(-155)). Let p = d - -57. Find r, given that -p*r - 2/3*r**3 + 10/3*r**2 + 8/3 = 0.
1, 2
Let n be ((-2)/(-4))/((-192)/1280*5/(-6)). Suppose 0 + 8/7*y - 24/7*y**2 + 50/7*y**5 + 60/7*y**n - 22/7*y**3 = 0. What is y?
-1, 0, 2/5
Let u(r) be the first derivative of -20/3*r**3 - 23*r**5 - 25*r**4 - 35/6*r**6 + 0*r + 0*r**2 + 14. Let u(w) = 0. Calculate w.
-2, -1, -2/7, 0
Let x be (25/60*-4)/((-35)/42). Factor 8/7*t + 1/7*t**x + 1.
(t + 1)*(t + 7)/7
Let n = 569 + -568. Let d(k) be the first derivative of 2/21*k**3 + 0*k**2 - 2/7*k - n. Let d(l) = 0. Calculate l.
-1, 1
Let f be -1 - -3 - 0/(-6). Let m(k) be the second derivative of k**3 + 1/8*k**4 + 0 - 8*k + 3*k**f. Factor m(z).
3*(z + 2)**2/2
Let w(m) be the third derivative of -m**8/672 - 3*m**7/140 - m**6/120 + 7*m**5/12 - 31*m**4/16 + 35*m**3/12 - 84*m**2. Determine n, given that w(n) = 0.
-7, -5, 1
Suppose -83*b**4 - 3*b**2 + 153*b**4 - 15*b**5 - 25*b**3 - 65*b**2 - 2*b**2 + 40*b = 0. Calculate b.
-1, 0, 2/3, 1, 4
Let f be ((-45)/30)/(3/(-44)). Let c = -20 + f. Find q such that -2/5*q + 0 - 2/5*q**3 + 4/5*q**c = 0.
0, 1
What is y in -3/8*y + 3/4 - 9/8*y**2 + 3/8*y**4 + 3/8*y**3 = 0?
-2, -1, 1
Let s(x) be the first derivative of -x**3/21 + 11*x**2/7 - 3*x - 187. Factor s(j).
-(j - 21)*(j - 1)/7
Let d(u) be the second derivative of -5*u**7/42 + 19*u**6/6 - 8*u**5 - 665*u**4/3 - 880*u**3 - 1440*u**2 + 71*u. Find a, given that d(a) = 0.
-2, -1, 12
Let z(m) be the first derivative of 0*m + 55/3*m**3 - 12 + 5*m**2. Factor z(f).
5*f*(11*f + 2)
Let n(m) be the second derivative of 11*m**8/504 - 4*m**7/63 + 7*m**6/180 + m**5/45 + 25*m**2/2 - m + 1. Let u(p) be the first derivative of n(p). Factor u(w).
2*w**2*(w - 1)**2*(11*w + 2)/3
Let p(l) be the first derivative of l**4/16 + 13*l**3/2 + 507*l**2/2 + 4394*l + 18. Let p(c) = 0. What is c?
-26
Let t(r) be the first derivative of r**3/6 - 11*r**2/4 + 248. Let t(u) = 0. What is u?
0, 11
Let o(w) be the second derivative of -2*w**6/15 - 11*w**5/5 - 5*w**4 + 18*w**3 - 2*w - 84. Suppose o(c) = 0. What is c?
-9, -3, 0, 1
Let s = 2473 + -22253/9. Let s*l + 2/9*l**2 + 0 = 0. Calculate l.
-2, 0
Let x = 8338 + -8335. Factor 0 + 2/21*p**2 + 2/21*p**x + 0*p.
2*p**2*(p + 1)/21
Let u(a) be the third derivative of -a**7/385 + a**6/44 - 3*a**5/55 - a**4/11 + 8*a**3/11 + 139*a**2. Factor u(t).
-6*(t - 2)**3*(t + 1)/11
Let z(y) = -4*y**3 - 2*y**2 - 3*y - 2. Let j be z(-1). Let q be (-1 - -4)/(j/(-2) - -3). Factor 0 + 3/4*s**4 - s + 5/4*s**3 - s**q.
s*(s - 1)*(s + 2)*(3*s + 2)/4
Factor 27/2 + 3/2*t**2 + 9*t.
3*(t + 3)**2/2
Let u(r) be the third derivative of 0*r - 1/4*r**5 + 0 + 43*r**2 + 0*r**3 - 5/24*r**4 + 1/6*r**6. Suppose u(t) = 0. What is t?
-1/4, 0, 1
Let k = -794 + 800. Let q(v) be the second derivative of 0*v**3 + 1/28*v**4 + 0 - 3/14*v**2 - k*v. Find w such that q(w) = 0.
-1, 1
Let f be (-252)/98*14/(-3). Determine x so that -f*x**3 - 4*x**2 + 4*x**4 + 39*x**5 + 8*x + 0*x**3 - 35*x**5 = 0.
-2, -1, 0, 1
Suppose 0*g = -2*g. Suppose g = -p + 6 + 5. Factor m**4 - 11 + m**4 + p.
2*m**4
Let b(r) = 20*r**2 - 18*r + 6. Let o(i) be the third derivative of i**5/60 - i**4/24 + 3*i**2. Let f(c) = 2*b(c) - 44*o(c). Factor f(s).
-4*(s - 3)*(s + 1)
Let p(o) = -o**3 - 21*o**2 + 22*o + 4. Let n be p(-22). Let j be (0/1)/1 - -4. Find k such that 2*k**5 + k**n + 2*k**5 + 0*k**5 + 3*k**j = 0.
-1, 0
Let u(r) be the third derivative of -r**8/84 + 8*r**7/35 - 16*r**6/15 - 14*r**5/3 + 75*r**4/2 + 500*r**3/3 - 2*r**2 + 36. Suppose u(j) = 0. Calculate j.
-2, -1, 5
Solve -2/3*d**4 + 20*d**2 + 112/3 + 2/3*d**3 + 152/3*d = 0 for d.
-2, 7
Let g(u) be the first derivative of 2/3*u**3 - 4*u**2 + 8*u - 7. Determine j so that g(j) = 0.
2
Suppose 0 = -9*u + 6*u - 6*u. Let a(o) be the second derivative of 1/24*o**3 + 0 + u*o**2 - 1/48*o**4 + 6*o. Factor a(n).
-n*(n - 1)/4
Let g be (60/45)/(64/36). Determine i so that 1/2 - 7/4*i**3 - 3/4*i**4 - 3/4*i**2 + g*i = 0.
-1, 2/3
Let u be 160/55 + (-26)/(-286). Find l, given that -2/5*l**u + 8/5*l**2 - 2*l + 4/5 = 0.
1, 2
Let i = 635/1898 + -7/5694. Factor i + 1/3*f - 1/3*f**3 - 1/3*f**2.
-(f - 1)*(f + 1)**2/3
Let b be (-6 + 3)/(6/4). Let x = b - -4. Find s such that 0*s**x - 3*s**2 - 2*s**3 + 8*s**2 + 2*s - s**2 - 4 = 0.
-1, 1, 2
Suppose 0 = r + 2*r, -4*p + 4*r - 16 = 0. Let l be (-10)/8*(p/20)/1. Factor -1/4 + l*q**2 + 1/4*q**3 - 1/4*q.
(q - 1)*(q + 1)**2/4
Suppose 6 = -2*c + 16. Let a(b) = b**4 - b**3 - b**2 + b. Let g(i) = 10*i**4 - 10*i**2. Let y(d) = c*a(d) - g(d). Factor y(u).
-5*u*(u - 1)*(u + 1)**2
Let q(m) be the first derivative of -2*m**5/15 - 3*m**4/2 - 26*m**3/9 + 15*m**2 + 100*m/3 + 72. What is v in q(v) = 0?
-5, -1, 2
Let t = -4051/2 + 2027. Factor 3/2*y**2 - 3/2*y**4 + 0 - t*y**3 + 3/2*y.
-3*y*(y - 1)*(y + 1)**2/2
Suppose 16*m - 62 = 2. Let o(d) be the third derivative of 0*d + d**3 + 2/15*d**6 - 2/3*d**m + 1/15*d**5 + 0 - 9*d**2 - 1/21*d**7. What is r in o(r) = 0?
-1, 3/5, 1
Let a(m) = -3*m**4 - 8*m**3 + 33*m**2 + 102*m + 58. Let t(x) = 20*x**4 + 55*x**3 - 230*x**2 - 715*x - 405. Let s(c) = 15*a(c) + 2*t(c). Factor s(b).
-5*(b - 3)*(b + 1)*(b + 2)**2
Let b be 12/(-7 - -3) + 3. Let x(z) be the third derivative of b - 1/60*z**6 + 0*z + 1/12*z**4 - 1/3*z**3 + z**2 + 1/30*z**5. Factor x(g