*3/15 - 480*g**2. Let k(s) = 0. What is s?
-1, 1, 2
Solve 3*v**2 + 247*v - 5*v**2 - 127*v + 0*v**2 + 0*v**2 = 0 for v.
0, 60
Let m(s) = -37*s**4 - 77*s**3 + 3*s**2 + 43*s - 17. Let o(n) = 9*n**4 + 19*n**3 - n**2 - 11*n + 4. Let a(p) = 4*m(p) + 17*o(p). Solve a(z) = 0 for z.
-3, -1, 0, 1
Let f(t) be the third derivative of t**6/90 + t**5/5 - 7*t**4/6 - t**3 - 4*t**2. Let k(a) be the first derivative of f(a). Solve k(n) = 0 for n.
-7, 1
Factor 75/2 - 5/2*v**3 - 155/2*v + 85/2*v**2.
-5*(v - 15)*(v - 1)**2/2
Let m(i) be the third derivative of i**6/120 + 257*i**5/420 + 89*i**4/84 - 12*i**3/7 + 2*i**2 + 216*i. Find g, given that m(g) = 0.
-36, -1, 2/7
Suppose -1278*m**2 + 2*m**4 - 1279*m**2 + 2525*m**2 - 16*m - 15*m**3 + m**5 = 0. Calculate m.
-4, -1, 0, 4
Let p be (4/(-448))/(38/(-133)). Let v(u) be the first derivative of 0*u**2 + 7 - 1/48*u**6 - 1/40*u**5 + 1/24*u**3 + p*u**4 + 0*u. Factor v(n).
-n**2*(n - 1)*(n + 1)**2/8
Factor 0 - 1/11*u**3 + 0*u**2 + 4/11*u.
-u*(u - 2)*(u + 2)/11
Let k(c) be the first derivative of -c**4/6 - c**3/9 + c**2/3 + c/3 - 321. Factor k(d).
-(d - 1)*(d + 1)*(2*d + 1)/3
Factor -16*k**4 + 4*k**5 + 34*k**3 + 11*k**3 - 24*k**2 - 89*k**3.
4*k**2*(k - 6)*(k + 1)**2
Solve -4/15*m**2 - 2/15*m**3 + 4/15 + 2/15*m = 0 for m.
-2, -1, 1
Let x(l) be the first derivative of 1/21*l**3 - 20 - 3/7*l - 1/7*l**2. Find o, given that x(o) = 0.
-1, 3
Let j(p) be the first derivative of p**5/12 + 35*p**4/24 + 5*p**3 + 4*p**2 - 3. Let z(b) be the second derivative of j(b). Let z(a) = 0. Calculate a.
-6, -1
Suppose 8*h + 12 = 12*h. Factor -2*o**3 - 5*o**3 + 20 - 2*o + 2*o**h + 7*o - 20*o**2.
-5*(o - 1)*(o + 1)*(o + 4)
Let q(f) be the third derivative of f**7/315 + f**6/45 - f**5/15 - f**4/9 + 5*f**3/9 - 130*f**2. Factor q(d).
2*(d - 1)**2*(d + 1)*(d + 5)/3
Let m(t) be the second derivative of t**4/60 + 23*t**3/30 - 399*t. Solve m(h) = 0 for h.
-23, 0
Let r = -29 + 37. Factor 7 - r*z - 8 + 4 + 5 + 2*z**2.
2*(z - 2)**2
Suppose -f = 2*f - 6. Suppose -2*s + 16 = 4*v - 6, -5*s = -f*v - 19. Factor -3/5*m + 3/5 - 3/5*m**5 - 6/5*m**2 + 3/5*m**4 + 6/5*m**v.
-3*(m - 1)**3*(m + 1)**2/5
Let n be (-196)/(-24) + (-7 - 1). Let w(g) be the first derivative of 0*g + 7 + n*g**4 + 0*g**3 + 0*g**2. Factor w(o).
2*o**3/3
Let b(v) be the second derivative of 3*v**4/28 + v**3/7 - 3*v**2/14 - 9*v + 1. Factor b(h).
3*(h + 1)*(3*h - 1)/7
Let a = 74 - 29. Let -25*c**3 - 28*c - a*c**2 - 19*c**4 + 14*c**4 - 7*c - 10 = 0. Calculate c.
-2, -1
Let t(o) = 12*o**2 - 57*o + 36. Let x(q) = 2*q**2 - 13*q + 10. Let g(w) = w**2 - w - 1. Let a(n) = g(n) + x(n). Let z(l) = 9*a(l) - 2*t(l). Factor z(y).
3*(y - 3)*(y - 1)
Let v be (-1 - 1)/((-8)/12). Factor 44*w**v + 16*w**2 + 48*w**4 + 2*w - 68*w**5 + 86*w**5 + 0*w.
2*w*(w + 1)**2*(3*w + 1)**2
Factor 3/4*n**2 + 3/4*n - 3/2.
3*(n - 1)*(n + 2)/4
Let g(o) be the second derivative of 11/39*o**3 + 1/13*o**4 + 6/13*o**2 + 2 + 1/130*o**5 + 20*o. Let g(y) = 0. Calculate y.
-3, -2, -1
Let k = 65266/168543 + -120/307. Let o = 1639/2196 - k. Factor 0 + 3/2*f - o*f**2.
-3*f*(f - 2)/4
Let n be 6/(-14) + (-190)/(-35). Factor 13*l - 301*l**3 - 3*l**n + 285*l**3 - l + 8 - 8*l**2 + 7*l**5.
4*(l - 2)*(l - 1)*(l + 1)**3
Let r(p) = p. Let x = 4 - -4. Let s be r(x). Factor 0*o**2 - 8*o - 10*o**2 - 16*o - s.
-2*(o + 2)*(5*o + 2)
Let w(h) be the third derivative of -h**8/2352 - h**7/735 + 3*h**6/280 + 3*h**5/70 + 307*h**2. Solve w(u) = 0.
-3, -2, 0, 3
Let s(a) be the first derivative of -4 + 1/60*a**5 + 0*a**3 + 1/24*a**4 + 0*a + a**2. Let j(t) be the second derivative of s(t). Factor j(f).
f*(f + 1)
Suppose 4*m = -u + 36, 2*m + m + 5*u = 10. Let 5 + 2 + 3*t**2 - m = 0. Calculate t.
-1, 1
Suppose 0 = 8*c + 79 - 303. Let j be ((-36)/21)/((-30)/c). Factor 14/5*z**2 + 0 - j*z - 4/5*z**3 - 2/5*z**4.
-2*z*(z - 1)**2*(z + 4)/5
Suppose -795 - 273 + 213 = -285*b. Suppose -8/9*o**2 - 4/9 + 10/9*o + 2/9*o**b = 0. Calculate o.
1, 2
Let n(i) be the third derivative of i**7/1260 - i**6/72 + i**5/30 + i**4/2 - 80*i**2. Factor n(d).
d*(d - 6)**2*(d + 2)/6
Find s such that 25/4*s**4 + 220*s + 166*s**2 + 52*s**3 + 1/4*s**5 + 100 = 0.
-10, -2, -1
Let j(c) be the third derivative of c**6/30 + 41*c**5/15 - c**4/6 - 82*c**3/3 - 305*c**2. Let j(k) = 0. Calculate k.
-41, -1, 1
Let a(z) be the third derivative of z**7/1470 + 2*z**6/105 - 19*z**5/420 - 17*z**4/84 - 204*z**2. Suppose a(f) = 0. Calculate f.
-17, -1, 0, 2
Let z(y) = -11*y**3 - 2*y**2 + 5*y - 1. Suppose 16*k = 9*k - 42. Let x(j) = 43*j**3 + 8*j**2 - 21*j + 3. Let d(b) = k*x(b) - 22*z(b). Factor d(a).
-4*(a - 1)*(a + 1)*(4*a + 1)
Let m(g) be the third derivative of g**5/30 + 4*g**4/3 + 64*g**3/3 + 22*g**2. Let q(v) = -v**2 - 16*v - 64. Let j(i) = 4*m(i) + 7*q(i). Solve j(x) = 0.
-8
Let z(m) be the second derivative of 0 + 0*m**2 + 0*m**3 - 2*m + 1/4*m**4. Factor z(h).
3*h**2
Let q = -57 + 59. Factor 4*a - 8*a**5 + q*a**5 + 0*a**5 - 2*a**4 + 8*a**2 + 5*a**5 + 3*a**3.
-a*(a - 2)*(a + 1)**2*(a + 2)
Let o be 3 - (-3 - -3) - -53. Let f be (-12)/(-14) - (-8)/o. Determine z, given that -1/2*z**2 - f + 3/2*z = 0.
1, 2
Let g(a) be the first derivative of -a**3/5 - 63*a**2/10 + 216*a/5 - 423. Let g(v) = 0. Calculate v.
-24, 3
Suppose u - 118 = -102. Suppose 0 = 17*l - u - 35. Factor -4/3*h**2 - h**l + 1/3*h + 2/3.
-(h + 1)**2*(3*h - 2)/3
Find l such that -120/13*l**2 + 224/13*l - 128/13 + 2*l**3 - 2/13*l**4 = 0.
1, 4
Let m = -14 + 16. Let a = -5 + 9. Let 4*r**4 + 10*r - 3*r**a + 0*r**2 - m - r**3 - 5*r - 3*r**2 = 0. Calculate r.
-2, 1
Let u(p) be the first derivative of -3*p**4/4 - 21*p**3 - 180*p**2 - 300*p + 136. Factor u(v).
-3*(v + 1)*(v + 10)**2
Let i(x) = -16*x - 384. Let f be i(-24). Let q(a) be the first derivative of 0*a**2 + 3/8*a**4 - 4 + 0*a**3 + f*a - 3/20*a**5. Factor q(s).
-3*s**3*(s - 2)/4
Suppose -15 = 24*c - 29*c. Let f be (-2)/(-3) + (-2)/c. Factor 0*m**3 + 0 + f*m - 2/11*m**4 + 2/11*m**2.
-2*m**2*(m - 1)*(m + 1)/11
Let d(k) be the second derivative of 5*k**7/14 - 48*k**6/5 + 1947*k**5/20 - 873*k**4/2 + 702*k**3 - 324*k**2 - 485*k. Let d(i) = 0. Calculate i.
1/5, 1, 6
Let v(k) = -k**2 - 1. Let d(g) = -g**2 - g. Let j be d(-2). Let n be 3/(-6)*(-12)/j. Let q(m) = -m**2 - 2*m - 1. Let l(r) = n*q(r) + 6*v(r). Factor l(f).
-3*(f - 1)**2
Let y = 11 + -12. Let h be 0 - (31/(-13) - y). Solve 96/13*w + 32/13 + h*w**4 + 112/13*w**2 + 64/13*w**3 + 2/13*w**5 = 0 for w.
-2, -1
Factor -2/9*g**3 - 4 + 2/9*g + 4*g**2.
-2*(g - 18)*(g - 1)*(g + 1)/9
Let m = 1147 - 6881/6. Let s(p) be the second derivative of -1/40*p**5 - m*p**3 + 1/8*p**4 + 0 - 11*p + 0*p**2. Factor s(x).
-x*(x - 2)*(x - 1)/2
Suppose 60 = p + 2*p. Let s be (-64)/(-80) - 11/p. Solve 1/2*c**3 - 1/2*c + 1/4 + 0*c**2 - s*c**4 = 0 for c.
-1, 1
Let n(a) be the third derivative of -a**7/1365 - a**6/780 + 7*a**5/390 + a**4/12 + 2*a**3/13 + 3*a**2 + 41*a. Solve n(j) = 0 for j.
-2, -1, 3
Factor 747*b + 5*b**2 - 363*b + 60 - 419*b.
5*(b - 4)*(b - 3)
Let t = -215 - 185. Let b = 1214/3 + t. Find h, given that 2/3*h + 8/3*h**4 - b*h**3 + 4/3*h**2 + 0 = 0.
-1/4, 0, 1
Let g(r) be the third derivative of r**8/20160 + r**7/420 + r**6/20 - r**5/60 + 14*r**2. Let u(c) be the third derivative of g(c). Factor u(z).
(z + 6)**2
Suppose -578 = i - 578. Let a(f) be the second derivative of -1/105*f**7 + 3/50*f**5 + 1/15*f**4 + 0*f**2 + 0 + 10*f + 0*f**6 + i*f**3. Factor a(d).
-2*d**2*(d - 2)*(d + 1)**2/5
Let i(g) be the second derivative of 1/3*g**3 + 0 - 6*g - 1/24*g**4 - g**2. Let i(b) = 0. Calculate b.
2
Let l be (-3 - (-678)/126) + -2. Let w(f) be the second derivative of 5/42*f**4 + l*f**3 + 4/7*f**2 + 0 + 1/70*f**5 + 2*f. Factor w(m).
2*(m + 1)*(m + 2)**2/7
Suppose 4*y + 3*j = -y + 29, 2*j = 6. Suppose -7*m = -6*m - y. Factor -4*f**4 + 2 - 7*f**3 + 2*f**m + 3*f**3 + 4*f.
-2*(f - 1)*(f + 1)**3
Suppose 4*r + 20 = 5*f - 10, 5*r + 21 = -2*f. Let x be (3 - (-13)/r)/((-6)/(-5)). Solve x*v**2 - 1/3*v**3 + 1/3*v - 1/3 = 0 for v.
-1, 1
Let w(q) = -q**2 + q + 0 + 6 - 17 + 10. Let h(g) = -9*g**2 - 6. Let r(s) = h(s) - 6*w(s). Solve r(v) = 0 for v.
-2, 0
Let b(l) be the first derivative of -l**4/3 + 22*l**3/9 - 6*l**2 + 6*l + 324. Factor b(k).
-2*(k - 3)*(k - 1)*(2*k - 3)/3
Let z(i) = -9*i**2 + 201*i - 396. Let f(s) = 25*s**2 - 601*s + 1187. Let a(v) = 6*f(v) + 17*z(v). Let a(o) = 0. Ca