 16129*m**2 - 508*m + 181.
(127*m - 2)**2
Let k = 18701 + -18699. Factor 1728/5 + 1/5*g**3 + 36/5*g**k + 432/5*g.
(g + 12)**3/5
Let v be 9/(-12)*-1*28/90. Let n = v + -1/30. Factor n*y**2 - 4/5*y + 3/5.
(y - 3)*(y - 1)/5
Let g(k) be the first derivative of k**6/6 + 3*k**5/5 - k**4/4 - k**3 - 333. Suppose g(q) = 0. What is q?
-3, -1, 0, 1
Let j(m) be the first derivative of -4/5*m**5 - 2*m**4 + 0*m + 4/3*m**3 + 10 + 3*m**2 + 1/3*m**6. Factor j(k).
2*k*(k - 3)*(k - 1)*(k + 1)**2
Let o(z) = 12*z - 15*z**2 - 18 + 8 + 15 + 2*z**3. Let n(k) = k**3 - k**2 + 1. Let s(p) = 6*n(p) + 2*o(p). Factor s(q).
2*(q - 2)**2*(5*q + 2)
Determine g so that -2 - 34*g**4 + 4*g + g**2 - g**2 - 3*g**3 - g**3 + 36*g**4 = 0.
-1, 1
Suppose -2 = 4*p - 14. Let c be ((-16)/200*10)/((-1)/5). Let -n**c - 3/2*n**2 + 9/4*n**p + 0 + 1/4*n = 0. Calculate n.
0, 1/4, 1
Let t(b) = -b**4 + b**3 - 14*b**2 + 12*b + 20. Let d(o) = 15*o**2 - 12*o - 21. Suppose 5 = -4*z - 19. Let f = z - -3. Let r(s) = f*t(s) - 4*d(s). Factor r(p).
3*(p - 2)**2*(p + 1)*(p + 2)
Let v(l) = -l**3 - l. Suppose -y = y + 2*o - 2, 2*y + 4*o + 2 = 0. Let p(g) = g**4 + 3*g**3 - g**2 + 5*g. Let u(z) = y*p(z) + 12*v(z). Factor u(s).
3*s*(s - 1)**2*(s + 1)
Let z(r) = r + 1. Let m(a) be the second derivative of 3/2*a**3 + a**4 - 3/2*a**2 - a + 0. Let k(l) = -m(l) - 6*z(l). Factor k(t).
-3*(t + 1)*(4*t + 1)
Let r = 3104 + -3102. Factor 0*l - 1 + 1/4*l**r.
(l - 2)*(l + 2)/4
Let a(s) be the first derivative of s**9/9072 + s**8/840 + s**7/280 + 4*s**3/3 + 10. Let z(y) be the third derivative of a(y). Let z(q) = 0. Calculate q.
-3, 0
Let o(n) be the first derivative of -3/4*n**4 + 0*n + 3*n**2 + 11 + n**3. Determine k so that o(k) = 0.
-1, 0, 2
Let o be (63/(-140))/((-9)/864*9). Factor o*n + 8/5 - 14/5*n**2.
-2*(n - 2)*(7*n + 2)/5
Let c = -215 - -217. Let f(o) be the first derivative of 3/4*o**4 - 3 + c*o**3 + 0*o + 0*o**2. What is z in f(z) = 0?
-2, 0
Let s = -65 + 77. Let z be 0/(2*-1)*s/24. Factor 2/5*b - 2/5*b**5 + 0*b**3 + z - 4/5*b**2 + 4/5*b**4.
-2*b*(b - 1)**3*(b + 1)/5
Let c(u) be the second derivative of u**6/12 - 5*u**5/8 + 5*u**4/12 + 10*u**3/3 + 283*u. Factor c(j).
5*j*(j - 4)*(j - 2)*(j + 1)/2
Determine j, given that -16 - 5/2*j**4 + 5*j**2 - 25/4*j**3 + 20*j - 1/4*j**5 = 0.
-4, 1
Let k(o) be the first derivative of -5*o**3/3 + 20*o**2 - 60*o - 39. Factor k(p).
-5*(p - 6)*(p - 2)
Suppose -3*v + 5*j - 3 = 2, -4*v + 3*j + 8 = 0. Suppose v*g - 20 = 5. Suppose -9*o**3 + o + 5*o**2 - 6*o**2 + 3*o**5 - 7*o**g - 11*o**4 = 0. Calculate o.
-1, 0, 1/4
Let k(q) be the first derivative of 2*q**6/7 - 15*q**5/7 + 57*q**4/14 - 8*q**3/7 + 154. Suppose k(x) = 0. What is x?
0, 1/4, 2, 4
Let c(p) be the second derivative of 1/8*p**2 + 1/80*p**5 + 1/8*p**3 + 0 + 10*p + 1/16*p**4. Determine a, given that c(a) = 0.
-1
Let q(v) be the third derivative of -v**9/37800 + v**7/2100 - v**6/900 + 11*v**4/12 - 35*v**2. Let n(w) be the second derivative of q(w). Factor n(d).
-2*d*(d - 1)**2*(d + 2)/5
Solve 2/21*a**3 + 4/21*a + 2/7*a**2 + 0 = 0 for a.
-2, -1, 0
Factor 6/7*s**2 - 90/7 - 3/7*s**3 + 87/7*s.
-3*(s - 6)*(s - 1)*(s + 5)/7
Let a = -69 + 71. Solve -71*f - 27*f - 25*f**3 - 42*f + 10 + 110*f**a + 30 = 0.
2/5, 2
Let s(o) = o - 24. Let n(l) = -l + 23. Let y(v) = -7*n(v) - 6*s(v). Let j be y(17). Solve -2/3*b**5 - 2/3*b**4 + j + 2*b**3 + 10/3*b**2 + 4/3*b = 0.
-1, 0, 2
Find x such that 30 - 192*x**4 - 121*x**3 - 3*x**5 + 48*x**5 + 400*x**2 + 159*x - 238*x**2 - 71*x**3 - 12*x**3 = 0.
-1, -2/5, -1/3, 1, 5
Solve 100*v - 99*v**3 - v**4 - 89*v**2 + 9*v**2 + 80*v**3 = 0 for v.
-10, 0, 1
Suppose 4*i = 30 + 50. Factor 24*j + 2 + 8*j**2 + 0 - 14*j - i*j.
2*(j - 1)*(4*j - 1)
Let d(u) be the first derivative of -3*u**6/14 - 12*u**5/35 + 9*u**4/28 + 4*u**3/7 - 372. Find q such that d(q) = 0.
-4/3, -1, 0, 1
Let q be 4/7*(-28)/(-8). Factor 20*b**2 + 1 + 15*b - q - 4.
5*(b + 1)*(4*b - 1)
Let b(x) be the first derivative of x**8/252 + x**7/42 + x**6/18 + x**5/18 - x**3/18 + 7*x**2 - 8. Let p(h) be the second derivative of b(h). Factor p(t).
(t + 1)**4*(4*t - 1)/3
Let j(c) be the first derivative of c**8/1680 - c**6/600 + 3*c**2 + 22. Let l(s) be the second derivative of j(s). Factor l(k).
k**3*(k - 1)*(k + 1)/5
Let i = -1455/4 + 364. Suppose -1/12*x**5 - 1/6*x**3 - 1/12 + i*x - 1/6*x**2 + 1/4*x**4 = 0. What is x?
-1, 1
Let w(n) be the first derivative of n**4/14 - 4*n**3/3 + 13*n**2/7 + 738. Let w(d) = 0. Calculate d.
0, 1, 13
Suppose -78 = 5*g - 93. Factor 27*h**4 - 52*h**4 - 34*h**2 - 15*h - 55*h**g + 5*h**4 - 16*h**2.
-5*h*(h + 1)**2*(4*h + 3)
Let z(u) be the first derivative of -u - 20*u**4 + 8*u**3 - 8 + 3/2*u**2. Find q, given that z(q) = 0.
-1/5, 1/4
Solve 48*f**2 - 6882*f**3 - 8*f + 59*f + 6879*f**3 = 0.
-1, 0, 17
Let o(b) be the first derivative of 2*b**6/15 - 2*b**5/5 - b**4 + 16*b**3/3 - 8*b**2 + 6*b + 1. Let c(d) be the first derivative of o(d). Factor c(v).
4*(v - 2)*(v - 1)**2*(v + 2)
Let y(u) = -5*u**2 + 12*u + 90. Let b(z) = 14*z**2 - 40*z - 270. Let h(f) = -3*b(f) - 8*y(f). Factor h(l).
-2*(l - 15)*(l + 3)
Let q = 7 + -4. Let -3*r + 228 - r**2 + 13*r**2 - 246 - q*r**3 = 0. What is r?
-1, 2, 3
Suppose -2*v - 25 = -19, 5*j = 2*v + 21. Let l(d) be the second derivative of 0 + 1/60*d**6 + 0*d**j + 1/24*d**4 - 1/20*d**5 + 0*d**2 - 2*d. Factor l(k).
k**2*(k - 1)**2/2
Let y(q) be the second derivative of -q**4/6 + q**3 + 5*q + 3. Find b such that y(b) = 0.
0, 3
Factor -6/11*f**2 + 8/11 + 2/11*f.
-2*(f + 1)*(3*f - 4)/11
Suppose -3*p - 4 = -2*r, r - 2 = p - 5*p. Suppose -3*f + 13*n = 9*n - 10, -4*f + 6 = r*n. Factor 0*v**3 + 4/3 - 8/3*v**f + 0*v + 4/3*v**4.
4*(v - 1)**2*(v + 1)**2/3
Solve 0 + 7/4*m**4 - 3/4*m**5 - 7*m**2 + 5/2*m**3 + 2*m = 0.
-2, 0, 1/3, 2
Factor 10*z**2 + 32/5 - 2/5*z**5 + 2*z**3 - 16*z - 2*z**4.
-2*(z - 1)**3*(z + 4)**2/5
Let a be (-183)/84 + 16 + -14. Let d = a + 3/4. Determine f, given that -2/7*f**2 + 6/7*f**3 + 0 - d*f = 0.
-2/3, 0, 1
Let r(v) = 20*v**2 - 201*v + 189. Let t be r(9). Solve 2/5*x**2 + t + 4/5*x = 0 for x.
-2, 0
Let f(v) be the first derivative of 29 - 1/8*v**4 + 1/12*v**3 + 0*v + 0*v**2 + 1/20*v**5. Factor f(y).
y**2*(y - 1)**2/4
Factor 12*j + 12/5*j**3 + 1/5*j**4 + 46/5*j**2 + 5.
(j + 1)**2*(j + 5)**2/5
Suppose 13 - 35 = -11*x. Suppose h - 8 = -5*j + x, 3*j - 10 = -h. Factor -15/4*i**3 - 5/2*i + h - 65/4*i**2.
-5*(i + 1)*(i + 4)*(3*i - 2)/4
Let m(i) be the first derivative of i**4/6 - 40*i**3/9 - 43*i**2/3 - 44*i/3 - 351. Factor m(c).
2*(c - 22)*(c + 1)**2/3
Let s(y) be the third derivative of y**6/720 - y**5/360 - y**4/9 - 5*y**3/9 + 108*y**2. Factor s(x).
(x - 5)*(x + 2)**2/6
Let u(o) = 9*o**5 + 3*o**3 + 2*o**2 + 5*o - 5. Let t(z) = 2*z**5 + z - 1. Let l(c) = -5*t(c) + u(c). Factor l(p).
-p**2*(p - 2)*(p + 1)**2
Solve 69*m**2 + 135*m - 80*m**4 + 66*m**2 + 45*m**3 + 85*m**4 = 0 for m.
-3, 0
Let m(o) be the first derivative of -5*o**7/42 + o**6/3 - o**5/4 - 6*o + 9. Let w(k) be the first derivative of m(k). Determine r, given that w(r) = 0.
0, 1
Let c = -1764 - -1768. Factor 0*g**2 - 1/4*g**3 + 1/4*g - 1/8 + 1/8*g**c.
(g - 1)**3*(g + 1)/8
Let c(h) = h**2 - 11*h + 6. Let i be c(11). Let i - k**2 - 45*k - 2*k**2 + 42*k = 0. Calculate k.
-2, 1
Let j = -498 - -500. Factor 4/3*v + 4/3*v**3 + 8/3*v**j + 0.
4*v*(v + 1)**2/3
Let v(z) = 17*z**5 - 16*z**4 + 38*z**3 - 16*z**2 + 17*z + 8. Let k(n) = 2*n**5 - n**4 + 2*n**3 + n**2 + n + 1. Let m(x) = 24*k(x) - 3*v(x). Solve m(o) = 0.
0, 1, 3
Let a(g) be the second derivative of -34*g + 1/10*g**6 - g**2 - 1/2*g**3 + 0 + 1/4*g**4 + 7/20*g**5. Factor a(r).
(r + 1)**3*(3*r - 2)
Let a be (13/13)/(2/4). Let k(q) = 4*q - 2. Let n be k(a). Factor -2 - 11*s**3 + 4*s + 2*s - n*s**2 + 13*s**3.
2*(s - 1)**3
Let a(t) be the first derivative of t**6/180 - t**5/120 - t**4/24 - 17*t**3/3 - 2. Let o(v) be the third derivative of a(v). Factor o(d).
(d - 1)*(2*d + 1)
Let r(q) be the second derivative of -q**6/60 + 7*q**5/40 - 3*q**4/8 - 7*q**3/12 + 5*q**2/2 + 97*q. Suppose r(v) = 0. Calculate v.
-1, 1, 2, 5
Let x = -70 + 115. Suppose 16*y - x = 7*y. Factor -10/3*v**4 + 2/9 + 0*v + 40/9*v**3 + 8/9*v**y - 20/9*v**2.
2*(v - 1)**4*(4*v + 1)/9
Let j = -849 - -3403/4. Factor 0 - 1/2*f - 1/2*f**3 + j*f**2 - 3/4*f**4.
-f*(f - 1)*(f + 2)*(3*f - 1)/4
Let k(i) = -6*i**3 - 2*i**2 - 2. Let j = 14