2 - 18*i**4 + 11871*i**5 + 11879*i**5 + 76*i**2 - 51*i**3 - 23751*i**5.
-i**2*(i - 1)*(i + 5)*(i + 14)
Determine o, given that -18/7*o**4 + 0 - 40/7*o + 2/7*o**5 + 38/7*o**3 + 18/7*o**2 = 0.
-1, 0, 1, 4, 5
Factor 36*a**3 + 6*a**4 + 126*a**2 - 15133*a + 15289*a - 3*a**4 + 63.
3*(a + 1)**2*(a + 3)*(a + 7)
Let f(m) be the first derivative of 0*m + 1/5*m**5 + 1/4*m**4 + 63/2*m**2 + 149 - 11*m**3. Factor f(q).
q*(q - 3)**2*(q + 7)
Let w(k) be the first derivative of -k**5/12 - 35*k**4/4 - 205*k**3/6 + k**2 - 109*k + 59. Let z(g) be the second derivative of w(g). Factor z(q).
-5*(q + 1)*(q + 41)
Let l(r) be the third derivative of -r**6/120 - 2*r**5/15 - r**4/6 + 8*r**3 - 673*r**2. Factor l(t).
-(t - 2)*(t + 4)*(t + 6)
Let j be 6/(-45) - ((-42981)/45 - 3). Let r = -4788/5 + j. Factor -r*p**2 - 242/5 + 44/5*p.
-2*(p - 11)**2/5
Let h(c) = -16*c + 349. Let n be h(21). Suppose 7*g = 4*g - r + 3, -5*g + r + n = 0. Factor 2/9*f**g + 10/9 + 4/3*f.
2*(f + 1)*(f + 5)/9
Let x(h) be the first derivative of -8/3*h**3 + 0*h - h**4 - 85 - 2*h**2. Factor x(c).
-4*c*(c + 1)**2
Let i be (-8)/(-12) + (-3)/((-36)/1228). Factor -82*w**2 - 19*w + 25*w**3 - i*w**2 + 225*w**2 + 2.
(w + 2)*(5*w - 1)**2
Let d(b) = b**2 - b - 1. Let u(k) = -31*k + 133*k - 35*k + 1 - 35*k - 34*k. Let v(t) = t. Let g be v(-1). Let f(l) = g*u(l) + d(l). Factor f(q).
(q - 1)*(q + 2)
Let o(t) be the second derivative of 40*t - 45/2*t**3 + 0 + 27/4*t**2 + 75/2*t**4 - 25*t**5. Factor o(z).
-(10*z - 3)**3/2
Let b(p) be the first derivative of -p**2 + 0*p - 1/2*p**4 + 4/3*p**3 - 91. Factor b(a).
-2*a*(a - 1)**2
Let u = 21368648/13 + -1643742. Factor -34/13*y + 8 + u*y**2.
2*(y - 13)*(y - 4)/13
Let l(f) be the third derivative of 0*f + 68*f**2 + 0 + 1/120*f**6 + 13/72*f**4 + 1/1260*f**7 - 1/15*f**5 - 1/4*f**3. Factor l(v).
(v - 1)**3*(v + 9)/6
Let p(h) = 7*h**3 + 20*h**2 + 39*h - 61. Let q(v) = 3*v**3 + 10*v**2 + 19*v - 30. Let r(z) = -6*p(z) + 15*q(z). Factor r(a).
3*(a - 1)*(a + 4)*(a + 7)
Let r(c) be the first derivative of -c**5/15 - 7*c**4/12 + 43*c**3/3 + 45*c**2/2 + 3804. Factor r(h).
-h*(h - 9)*(h + 1)*(h + 15)/3
Let y(m) be the third derivative of m**5/60 + 3211*m**4/12 + 10310521*m**3/6 - 125*m**2 + 13*m. Factor y(s).
(s + 3211)**2
Let n(v) = -4*v**3 + 15*v**2 - 48*v - 65. Let u be n(-1). Suppose 1/5*q**3 + 6/5*q**u + 12/5*q + 8/5 = 0. What is q?
-2
Let y(p) be the third derivative of 0 - 1/390*p**5 - 49/78*p**4 - 138*p**2 - 2401/39*p**3 + 0*p. Solve y(i) = 0.
-49
Factor 63/2*h**2 + 0*h - 3/2*h**4 - 6*h**3 + 0.
-3*h**2*(h - 3)*(h + 7)/2
Find l such that 16*l - 51*l**2 - l**3 + 9 + 3*l**3 + 61*l**2 - 1 = 0.
-2, -1
Let w(z) be the third derivative of -z**5/270 + 17*z**4/108 + 28*z**3/9 + 2760*z**2. Factor w(o).
-2*(o - 21)*(o + 4)/9
Suppose -4*m - 5*z = -3*m + 2, 3*z + 15 = 4*m. Let u = -21094 + 42197/2. Find r such that -3/2*r**2 - u*r - m = 0.
-2, -1
Let n(k) be the first derivative of k**6/12 + 133*k**5/10 + 2177*k**4/4 - 2311*k**3/3 - 4355*k**2/4 + 4489*k/2 + 1375. What is f in n(f) = 0?
-67, -1, 1
Let q(o) be the third derivative of -3*o**6/280 + 37*o**5/140 - 15*o**4/7 + 18*o**3/7 - 4*o**2 + 33*o - 2. Find x, given that q(x) = 0.
1/3, 6
Let q(l) = -239*l**2 + 119*l**2 + l + 116*l**2. Let a(t) = 5*t**2. Let b(z) = -3*a(z) - 5*q(z). Solve b(i) = 0 for i.
0, 1
Let q(l) be the third derivative of l**7/630 + 101*l**6/360 + 130*l**5/9 + 625*l**4/18 + 2*l**2 - 13*l - 4. Suppose q(d) = 0. Calculate d.
-50, -1, 0
Let a(o) be the second derivative of o**6/810 - 41*o**5/135 + 1681*o**4/54 + 21*o**3 - 46*o. Let u(k) be the second derivative of a(k). Solve u(g) = 0.
41
Let p(a) be the second derivative of a**6/660 + a**5/55 - 125*a**3/6 + 55*a. Let w(o) be the second derivative of p(o). What is d in w(d) = 0?
-4, 0
Let y(x) = -1 - 281*x + x**2 + x**2 - x**2 + 280*x. Let a = 4 - 6. Let j(d) = 10*d**2 + 7*d - 1. Let u(f) = a*j(f) + 10*y(f). Suppose u(l) = 0. Calculate l.
-2, -2/5
Let p(f) be the first derivative of -f**3/9 - f**2/6 + 140*f + 3735. Find w, given that p(w) = 0.
-21, 20
Let c(o) be the third derivative of -o**6/80 + 21*o**4/16 - 5*o**3 + 28*o**2 + 23*o. Factor c(u).
-3*(u - 4)*(u - 1)*(u + 5)/2
Let c(r) be the third derivative of r**6/180 + r**5/60 + 3*r**3 + 72*r**2. Let m(g) be the first derivative of c(g). Factor m(n).
2*n*(n + 1)
Let v be 36/(-3)*1003/(-84252). Solve 6 - v*n**2 + 1/7*n = 0 for n.
-6, 7
Let x be -3 + 2 + (-1)/(14/(-16)). Let v be (-22)/187 + (-4 - 8/714*-393). Factor x*t + v*t**2 + 0 + 1/7*t**3.
t*(t + 1)**2/7
Let z(g) = -3*g**3 + 25*g**2 - 54*g + 8. Let d(x) = 21*x**3 - 174*x**2 + 378*x - 60. Let b(w) = -2*d(w) - 15*z(w). Determine i so that b(i) = 0.
0, 3, 6
Let b(x) = 2*x**2 + x + 1. Let q(i) = -14*i**2 - 3*i - 8. Let o(y) = -5*b(y) - q(y). Let s(h) = 7*h**2 - 3*h + 5. Let c(r) = 5*o(r) - 3*s(r). Factor c(v).
-v*(v + 1)
Let b(f) be the third derivative of -88*f**2 - 3/11*f**3 - 35/132*f**4 + 2/165*f**5 + 0 + 0*f. Factor b(q).
2*(q - 9)*(4*q + 1)/11
Let o(u) be the second derivative of -1/78*u**4 + 15*u + 9/13*u**2 + 0 - 8/39*u**3. Solve o(j) = 0.
-9, 1
Let u(a) be the second derivative of 0 - 1/45*a**6 - 1/189*a**7 + 11/54*a**4 - 2/9*a**3 + 7/90*a**5 + 94*a - 8/9*a**2. Let u(n) = 0. What is n?
-4, -1, 1, 2
Let k(p) = 3*p**2 - 22. Let t be (-10)/25 + 12/5. Let b(j) = -3*j**t + 28 + 3*j**2 - 2*j**2 - 5. Let r(g) = 2*b(g) + 3*k(g). Factor r(y).
5*(y - 2)*(y + 2)
Let a(p) = -18*p**3 - p**2 + 70*p + 30. Let m(x) = 21*x**3 - 69*x - 6. Let d(z) = 6*a(z) + 5*m(z). Factor d(i).
-3*(i - 5)*(i + 2)*(i + 5)
Let m = -81528 + 81530. Suppose 2/9*o**4 - 32/9*o - 32/9 + 8/9*o**3 + 0*o**m = 0. Calculate o.
-2, 2
Suppose 11*b = 10*b + 12. Suppose -b = 9*p - 13*p. Determine t, given that -2*t**p - 20*t + t**3 + 21*t = 0.
-1, 0, 1
Let n = -413 - -416. Let i be ((-651)/39)/7 + n. Factor i*g + 0*g**2 + 0 - 2/13*g**3.
-2*g*(g - 2)*(g + 2)/13
Let c(g) be the third derivative of -g**5/12 - 265*g**4/24 - 330*g**3 - g**2 + 2*g + 949. Let c(d) = 0. What is d?
-44, -9
Let k(u) be the third derivative of -u - 5*u**3 - 8*u**2 + 0 - 1/21*u**7 - 17/6*u**5 - 125/24*u**4 - 17/24*u**6. What is m in k(m) = 0?
-6, -1, -1/2
Suppose -5*y = x - 35, x - 2*x = -4*y - 62. Let k be (x/385)/((-16)/(-112)). What is g in -18/11*g**3 + 4/11*g + 0 + 14/11*g**5 + k*g**4 - 10/11*g**2 = 0?
-1, 0, 2/7, 1
Suppose -59*u + 49*u = -320. Find k such that -4*k**3 + 12*k**3 - 7*k**3 + 16*k**2 - 3*k**3 - u*k = 0.
0, 4
Let q(g) = 5*g + 4*g - 5*g - 10 - 2*g. Let l be q(6). Factor 4*p - 8*p + 6 + 2*p**l - 5 + p**2.
(p - 1)*(3*p - 1)
What is b in -278849*b + 279752 - 50705*b + 1498*b**2 + 170811*b - b**3 - 122505*b - b**3 = 0?
1, 374
Let w be (-5)/15 + 292/(-60) + -5 - -11. Factor -11/5*x**2 - w*x - 1/2*x**3 + 0.
-x*(x + 4)*(5*x + 2)/10
Suppose -71*d = 146*d - 164 - 487. Let v(l) be the first derivative of -l + 1/9*l**d + 1/3*l**2 + 27. Suppose v(t) = 0. What is t?
-3, 1
Let l = -2170/9 + 242. Let n = -1168/3 + 390. Factor 2/9*a**2 + n + l*a.
2*(a + 1)*(a + 3)/9
Factor 2162/13 + 2/13*g**2 - 2164/13*g.
2*(g - 1081)*(g - 1)/13
Let n be (-47)/3*-9 + -5. Suppose -3*m - 45*m - n - 24*m - 42*m**2 + 40*m**2 = 0. Calculate m.
-34, -2
Factor -4/13*k**3 - 8/13*k**2 + 0 + 2/13*k**4 + 16/13*k.
2*k*(k - 2)**2*(k + 2)/13
Solve 267/2*r + 126*r**3 + 1251/4*r**2 + 12*r**4 + 63/4 = 0.
-7, -3, -1/4
Determine p so that -3800/3 - 1864*p**2 + 9170/3*p + 24*p**3 = 0.
5/6, 76
Let a(p) = p**3 + 216*p**2 - 2695*p - 28238. Let m(d) = 76*d**2 - 898*d - 9412. Let n(b) = 4*a(b) - 14*m(b). Determine c, given that n(c) = 0.
-6, 28
Factor 14/11*k**3 + 32/11*k**2 - 32/11 - 104/11*k.
2*(k - 2)*(k + 4)*(7*k + 2)/11
Let k(o) be the third derivative of o**6/180 - 7*o**5/30 + 13*o**4/12 - 5*o**3/6 - 7*o**2 - 2. Let c(j) be the first derivative of k(j). Factor c(f).
2*(f - 13)*(f - 1)
Suppose 617718 = -23*o + 617764. Factor -1/3*w**3 + 0 + 16/3*w**o - 64/3*w.
-w*(w - 8)**2/3
Let v(z) = 25*z**2 + 12*z - 6. Let m be v(3). Suppose 0 = 3*p + 5*o - 8, -o = 2*p + m - 265. Solve 3/2*g - 6 - 3/2*g**3 + p*g**2 = 0 for g.
-1, 1, 4
Let f(p) be the third derivative of p**5/210 - 22*p**4/3 + 205*p**3/7 + 77*p**2 - 31. Factor f(d).
2*(d - 615)*(d - 1)/7
Let d(v) be the third derivative of -v**8/11760 + v**6/1260 - v**4/168 + 5*v**3/2 + 97*v**2. Let i(k) be the first derivative of