 + 29/180*v**5 + 0*v**3 + 0*v. Determine x so that a(x) = 0.
0, 1/3, 1, 2, 3
Factor 152/5*v**2 + 0 + 1/5*v**4 - 41/5*v**3 - 148/5*v.
v*(v - 37)*(v - 2)**2/5
Let q(r) be the first derivative of r**5/45 + 103*r**4/18 + 409*r**3/27 + 34*r**2/3 + 8413. Let q(l) = 0. Calculate l.
-204, -1, 0
Let q = -2068606 - -2068611. Factor -45/2*b**2 - 39/2*b**3 - 1/2*b**q + 0*b - 11/2*b**4 + 0.
-b**2*(b + 3)**2*(b + 5)/2
Let s(k) be the first derivative of -k**6/30 - 2*k**5/3 - 2*k**4 + 48*k**3 + 81*k**2/2 - 128. Let g(u) be the second derivative of s(u). Factor g(f).
-4*(f - 2)*(f + 6)**2
Let y(p) be the first derivative of 0*p - 1/5*p**5 + 0*p**2 + p**4 + 50 - p**3. Solve y(t) = 0 for t.
0, 1, 3
Let r = -69863 + 69863. Factor r - 3/4*h**3 + 3/2*h + 7/4*h**2.
-h*(h - 3)*(3*h + 2)/4
Let c(i) be the third derivative of -i**5/20 - 155*i**4/4 - 309*i**3/2 - 204*i**2. Factor c(k).
-3*(k + 1)*(k + 309)
Let u = 136 - 347. Let g = 213 + u. Let 4/5 + 18/5*s**4 + 18/5*s + 2/5*s**g - 42/5*s**3 = 0. Calculate s.
-1/3, 1, 2
Let p(m) be the third derivative of m**9/423360 + m**8/70560 - m**7/11760 - 47*m**5/30 + 61*m**2. Let s(k) be the third derivative of p(k). Solve s(i) = 0.
-3, 0, 1
Let x be (-6)/24 + (-13)/(-4). Let j = 197 - 106. Factor -j + 91 - 6*u**2 + x*u**3.
3*u**2*(u - 2)
Suppose -4*x + 3*w + 15 = 0, 4*x + 3*w + 2*w - 7 = 0. Let c be 5/(-13 + -2)*x*-2. Factor -t + 20 + 0*t + 5*t**c + 41*t + 60.
5*(t + 4)**2
What is s in 69/2*s**2 + 1/2*s**4 - 67/2*s - 25/2*s**3 + 11 = 0?
1, 22
Let j = -2987 + 50785/17. Let a(c) be the third derivative of -2/255*c**5 + 0 + j*c**3 - 1/68*c**4 + 0*c + 1/1020*c**6 + c**2. Solve a(y) = 0.
-2, 3
Suppose 11*l = -1048 + 3204. Let g = l - 194. Factor 8/5*n**2 + g*n + 2/5*n**3 + 4/5.
2*(n + 1)**2*(n + 2)/5
Let z(n) be the second derivative of -n**4/4 - 39*n**3 - 231*n**2/2 + 947*n. Let z(x) = 0. Calculate x.
-77, -1
Let x(d) be the second derivative of -d**8/336 + d**6/60 - d**4/24 - 30*d**2 - 7*d - 2. Let u(g) be the first derivative of x(g). Find t, given that u(t) = 0.
-1, 0, 1
Let r(a) be the first derivative of -a**4/30 - 8*a**3/3 - 319*a**2/5 - 3364*a/15 - 1395. Determine o, given that r(o) = 0.
-29, -2
Factor 39/4*l**4 + 0*l + 361/4*l**2 + 0 + 1/4*l**5 + 399/4*l**3.
l**2*(l + 1)*(l + 19)**2/4
Determine o so that 270 + 19*o - 17*o - 14*o + 14*o**2 - 16*o**2 = 0.
-15, 9
Factor 4152*g**3 - 2090*g**3 - 6207*g**2 - 2059*g**3.
3*g**2*(g - 2069)
Let j(m) = -11*m - 8. Let f be j(-1). Factor -96*r**f - 3*r**2 - 6 + 98*r**3 - 10*r + r**2.
2*(r - 3)*(r + 1)**2
Suppose 55*y - 343 + 39 = -25*y + 4*y. Solve -12/5*o**2 + 6/5 + 4/5*o**3 + 6/5*o**y - 2/5*o**5 - 2/5*o = 0 for o.
-1, 1, 3
Factor 2*z**4 + 194672 - 74060*z - 292*z**3 - 6235*z**2 + 2*z**4 + 13687*z**2.
4*(z - 23)**3*(z - 4)
Let b(m) = -9*m - 292. Let s be b(-35). Suppose -3*j = -2*c + s, -5*c + 7*j = 11*j. Factor -4/3*k + 2/3*k**2 + 6*k**3 + 10/3*k**5 + 0 - 26/3*k**c.
2*k*(k - 1)**3*(5*k + 2)/3
Let k(h) be the second derivative of -h**7/84 + 11*h**6/60 - 9*h**5/8 + 27*h**4/8 - 9*h**3/2 - 2*h - 3623. Factor k(p).
-p*(p - 3)**3*(p - 2)/2
Factor 3/7*y**4 + 0*y**2 - 48*y**3 + 0*y + 0.
3*y**3*(y - 112)/7
Let n(s) = -2*s**3 + 49*s**2 - 103*s - 151. Let q be n(22). Suppose 1/2*a**4 + 6*a**2 + 3/2 + 3*a**q + 5*a = 0. What is a?
-3, -1
Suppose -854*k + 72 = -830*k. Let p(o) be the first derivative of 8 - 3/4*o**2 + 0*o - 1/6*o**k. Factor p(v).
-v*(v + 3)/2
Let h = 423 - -1657. Let b = h + -14536/7. Factor 8*o + 2*o**2 - 10/7*o**3 - b.
-2*(o - 3)*(o + 2)*(5*o - 2)/7
Let s be (99/(-66))/(4/(-8)). Suppose 4*g - 6*g + 8 = 0. Suppose 4*f + 70*f**4 - g*f**2 - s*f**3 - 4*f**3 - 72*f**4 = 0. What is f?
-2, 0, 1/2
Let x be 339*45/(-315) + 49. Factor -x*j + 0 - 96/7*j**2.
-4*j*(24*j + 1)/7
Let w(i) be the third derivative of 1/300*i**5 - 3/40*i**4 + 0 - 10*i**2 - i + 4/15*i**3. Factor w(m).
(m - 8)*(m - 1)/5
Suppose 0 = 5*i - 44 - 76. Let w = i - 17. Solve 19*s + s**2 - w*s - 9*s**3 - 3*s**5 - 12*s**4 + 11*s**2 = 0 for s.
-2, -1, 0, 1
Solve 4/5*x**3 - 3524/5*x - 3672/5 + 152/5*x**2 = 0.
-54, -1, 17
Let z(f) be the first derivative of -1/3*f**3 + 50 + 0*f**2 + 0*f**4 + 0*f + 1/5*f**5. Solve z(r) = 0.
-1, 0, 1
Let u be (-8 + 495/63)/(10*(-2)/28). Let d(z) be the second derivative of 2*z - 2/3*z**3 + 0 - 4/5*z**2 + u*z**4. Solve d(n) = 0.
-1/3, 2
Let u be (144/54 - (-4)/3)/4 + (-11)/(-88). Solve -3/8*w + 3/8*w**3 + u - 9/8*w**2 = 0 for w.
-1, 1, 3
Suppose t + m - 309 = 0, -m - 1549 = -5*t - 4*m. Let o = -311 + t. Solve 2/5*u**2 - 2/5*u - 2/5*u**4 + o + 2/5*u**3 = 0.
-1, 0, 1
Suppose 91 = -37*m + 239. Let v(a) be the first derivative of -2/3*a**3 + 3/2*a**2 - 1/2*a**m - a + 3/5*a**5 - 1/6*a**6 + 51. Factor v(w).
-(w - 1)**4*(w + 1)
Let m be (-25 - -18)*((-15)/(-21) - 1). Determine y so that 0*y**m + 3/4*y - 3/4*y**3 + 0 = 0.
-1, 0, 1
Let b be (-28 - 3325/(-120)) + (-15)/(-24). What is a in 0*a + 0 + 1/3*a**3 - b*a**2 = 0?
0, 1
Let z = 83523034/2900105 - 2/580021. Factor 24/5*a + 143/5*a**2 - z - 24/5*a**3 + 1/5*a**4.
(a - 12)**2*(a - 1)*(a + 1)/5
Let z = -314988 - -2204966/7. Let -36/7 + z*u - 2/7*u**3 - 12/7*u**2 = 0. Calculate u.
-9, 1, 2
Let d be (10835/(-23837))/((-2)/11). Find u such that d*u**4 + 1/2*u**2 - u + 4*u**3 + 0 = 0.
-1, 0, 2/5
Suppose -q = q - 6. Suppose 0 = -7*k + q*k + 172. Factor 2 + 6*d**2 - d - 5*d + k*d**3 - 45*d**3.
-2*(d - 1)**3
Let d(t) be the second derivative of -t**4/60 + 268*t**3/15 - 35912*t**2/5 + 236*t - 2. Factor d(l).
-(l - 268)**2/5
Let t = 986 - 974. Suppose -2*g = o, 0 = -0*o - 3*o - t. Factor g + 8/3*l + 2/3*l**2.
2*(l + 1)*(l + 3)/3
Let p = -1/532557 - -532559/1065114. Find o such that 3*o**3 + 0 - 7/2*o**2 + p*o = 0.
0, 1/6, 1
Suppose 0 = 4*d + 21 - 25. Let t(o) = o**4 + o - 1. Let h(b) = 2*b**5 + 5*b**4 - 28*b**3 - 5*b + 5. Let k(s) = d*h(s) + 5*t(s). Factor k(c).
2*c**3*(c - 2)*(c + 7)
Let g(k) = 29*k**4 - 120*k**3 + 995*k**2 - 3120*k + 2216. Let u(r) = -17*r**4 + 72*r**3 - 597*r**2 + 1872*r - 1330. Let w(v) = 7*g(v) + 12*u(v). Factor w(y).
-(y - 8)**2*(y - 7)*(y - 1)
Let a(f) = -10*f**4 + 42*f**3 - 357*f**2 + 1532*f - 1938. Let r(b) = -b**4 + b**3 + b**2 - 4*b - 2. Let i(v) = a(v) - 9*r(v). Solve i(z) = 0.
2, 8, 15
Let x(c) = 2*c**2 - 8*c + 1. Let r be x(4). Let s be (4*1/(-6))/(r/(-24)). Find u such that 42*u**5 + s*u**4 - 12*u**3 + 34*u**5 - 80*u**5 + 16*u - 16*u**2 = 0.
-1, 0, 1, 2
Let k(t) be the third derivative of -t**6/220 + 4*t**5/55 + t**4/44 - 8*t**3/11 - t**2 + 9*t + 36. Solve k(d) = 0.
-1, 1, 8
Factor 120*z**2 - 108*z - 4/3*z**5 + 44/3*z**4 - 184/3*z**3 + 36.
-4*(z - 3)**3*(z - 1)**2/3
Let j(v) be the third derivative of -v**7/280 - v**6/20 + 3*v**5/8 - v**4 - 34*v**3/3 - 2*v**2 + 5*v. Let l(c) be the first derivative of j(c). Factor l(y).
-3*(y - 1)**2*(y + 8)
Let z be (0 + 1)/((-14183)/(-2182)). Factor 0 + 8/13*j**2 + z*j**3 + 8/13*j.
2*j*(j + 2)**2/13
Let t = -733 + 733. Let q be (-220)/(-198) - t/2. What is m in 14/3*m**2 + 8/9 - q*m**3 - 16/3*m = 0?
1/5, 2
Let f be (-1292)/(-306) - (-2)/(-9). Factor f*p**2 - 4 + 20 + 37 + 3 + 42*p - 6*p.
4*(p + 2)*(p + 7)
Let 22/19*f + 2/19*f**3 + 24/19*f**2 + 0 = 0. What is f?
-11, -1, 0
Let x(m) be the third derivative of -81*m**7/70 + 369*m**6/20 - 2437*m**5/20 + 861*m**4/2 - 882*m**3 + 43*m**2 - 3*m. Suppose x(z) = 0. Calculate z.
14/9, 3
Suppose 3*p + 2*s = 14, 3*p - 9 = p - s. Suppose 12 = 7*h - p*h. Determine t, given that h*t**4 + 4*t**2 + 8*t**3 - t + t = 0.
-1, 0
Let x(f) be the first derivative of -f**6/40 + 3*f**5/20 - 3*f**4/8 + f**3/2 + f**2 - 9*f - 43. Let c(u) be the second derivative of x(u). Factor c(w).
-3*(w - 1)**3
Let n be (-6)/(-10) + 14182/35. Let m = n - 405. Let 12/5*w**3 - 12/5*w**4 + 4/5*w**5 + 0 + 0*w - m*w**2 = 0. Calculate w.
0, 1
Let s(y) be the third derivative of 11*y**8/504 + 2*y**7/21 + y**6/90 - 2*y**5/5 - 13*y**4/36 + 2*y**3/3 + 2*y**2 + 26*y - 42. Solve s(k) = 0.
-2, -1, 3/11, 1
Let t(h) = 13*h**4 - 349*h**3 + 663*h**2 + 2425*h + 1400. Let s(c) = 5*c**4 - 140*c**3 + 265*c**2 + 970*c + 560. Let y(z) = 12*s(z) - 5*t(z). Factor y(g).
-5*(g - 8)*(g - 7)*(g + 1)**2
Let d(f) be the first derivative of f**4/54 + 14*f**3/27 - 5*f**2/3 - 58*f + 27. Let g(k) be the first derivative of d(k). Factor g(y).
2*(y - 1)*(y + 15)/9
Let n(y) be the third derivative of 27*y**5/5 - 65*y**4/2 