1 - -210455/3. Factor -y*v**2 + 6 - 2/3*v**3 + 6*v.
-2*(v - 3)*(v + 1)*(v + 3)/3
Let v(t) be the third derivative of 0*t + 2/105*t**5 + 0 - 1/168*t**4 + 29*t**2 + 1/840*t**6 - 1/735*t**7 - 1/7*t**3. Determine x, given that v(x) = 0.
-3/2, -1, 1, 2
Let c be (1924/(-910) - 5/25*-2)/(-1). Factor -c*r + 2 - 2/7*r**2.
-2*(r - 1)*(r + 7)/7
Let d be (660/9)/4*(38 - (-12 - -49)). Let a(f) be the first derivative of 20*f + 18 - 15/2*f**4 + 10*f**2 - d*f**3. Solve a(k) = 0 for k.
-2, -1/2, 2/3
Let g(k) = -k**5 + 5*k**4 - 13*k**3 + 7*k**2 + 6*k + 4. Suppose -13*j + 16*j = 60. Let c(a) = -a**3 + 2*a + 1. Let z(x) = j*c(x) - 5*g(x). Factor z(v).
5*v*(v - 2)*(v - 1)**3
Let m(d) be the first derivative of 2*d**3/9 + 556*d**2/3 + 154568*d/3 - 525. Factor m(h).
2*(h + 278)**2/3
Let k(f) = -f**3 - 12*f**2 - 11*f + 132. Let x be k(-10). Let q(c) be the second derivative of -4/9*c**2 + 0 - x*c - 169/54*c**4 - 52/27*c**3. Factor q(n).
-2*(13*n + 2)**2/9
Let m(b) = -14*b**2 - 1016*b + 2052. Let u(q) = -39*q**2 - 3049*q + 6155. Let i(f) = 11*m(f) - 4*u(f). Solve i(l) = 0 for l.
-512, 2
Find x, given that 23*x + 592 + 5*x - 371 + 703 - 4*x - 3*x**2 = 0.
-14, 22
Let w(o) be the third derivative of -o**5/60 + 311*o**4/4 - 290163*o**3/2 - 54*o**2 - 4*o + 1. Suppose w(p) = 0. Calculate p.
933
Let l be ((-18)/140)/((-1323)/4410). Factor 30/7 - 12/7*m**2 + l*m**3 - 3*m.
3*(m - 5)*(m - 1)*(m + 2)/7
Let r(c) be the first derivative of -11*c**6/12 - 171*c**5/10 + 691*c**4/8 - 199*c**3/2 - 35*c**2 + 114*c + 3653. Suppose r(j) = 0. What is j?
-19, -6/11, 1, 2
Let y = 457 - 438. Let n(c) be the second derivative of -1/4*c**3 - 1/24*c**4 + 0*c**2 + 0 + y*c. Solve n(o) = 0.
-3, 0
Suppose -w - 39 = -2*r, -4*w = r - 8*w - 30. Let r*u - 19*u**2 + 0*u**2 - 3*u**2 + 2*u + 16*u**3 + 2*u**4 - 16*u**2 = 0. Calculate u.
-10, 0, 1
Let i be 10212/111*1/(8/14). Suppose -219 - i*w - 295*w + 43 - 1893*w**4 - 348*w**2 + 1887*w**4 - 94*w**3 = 0. Calculate w.
-11, -2, -2/3
Suppose 6 = 5*l - 2*i, 6*l - i + 62 = 72. Let a(x) be the first derivative of 1/42*x**4 + 5/7*x**l + 50/21*x + 26 - 2/7*x**3. Factor a(o).
2*(o - 5)**2*(o + 1)/21
Suppose 1110*j = 1111*j - 62. Suppose 2*o + 5*l + 22 = j, 2*o - l - 40 = 0. Solve 2/3*x**3 + 200*x - o*x**2 - 2000/3 = 0.
10
Let m(t) be the second derivative of -1/8*t**5 + 0 - 1/12*t**4 - 1/84*t**7 - 1/15*t**6 + 304*t + 0*t**2 + 0*t**3. Factor m(u).
-u**2*(u + 1)**2*(u + 2)/2
Suppose -2*j + 8 = -3*u, -6*j + 5*j + 7 = -3*u. Let o(l) = l**2 - 2*l - 18. Let c(v) = -v**2 + 19. Let g(p) = u*c(p) - 3*o(p). Solve g(b) = 0.
-2, 8
Let i(l) = -2*l**3 - 12*l**2 + l + 20. Let h be i(-6). Factor -20*c**3 + 87*c**2 - 92*c + c**2 + h + 11 - 1.
-4*(c - 3)*(c - 1)*(5*c - 2)
Let w(n) be the third derivative of -n**7/210 + 2*n**6/3 - 198*n**5/5 + 3872*n**4/3 - 74536*n**3/3 + 1841*n**2. Factor w(o).
-(o - 22)**3*(o - 14)
Let b be (27/(-15))/((-3)/5) + -6. Let t(o) = 19*o**2 - 32*o + 28. Let d(f) = -9*f**2 + 16*f - 16. Let x(q) = b*t(q) - 5*d(q). Suppose x(k) = 0. What is k?
1/3, 1
Solve 16*g**2 + 546*g**4 + 44*g**4 - 594*g**4 = 0 for g.
-2, 0, 2
Let o(p) be the first derivative of -p**4/20 + p**3/15 + 8*p**2/5 + 4*p - 2747. Factor o(k).
-(k - 5)*(k + 2)**2/5
Let o(t) be the third derivative of t**5/10 + 581*t**4/3 - 775*t**3/3 + 40*t**2 + 1. Factor o(h).
2*(h + 775)*(3*h - 1)
Suppose 115*d = 65*d - 158*d. Suppose 0*m - 7/3*m**4 + d*m**3 + 4/3*m**2 + 0 + m**5 = 0. What is m?
-2/3, 0, 1, 2
Let y(l) be the second derivative of 3*l**5/20 + 13*l**4/4 + 23*l**3/2 + 33*l**2/2 - 10*l + 47. Factor y(o).
3*(o + 1)**2*(o + 11)
Let x(o) be the first derivative of 4*o**4/9 - 128*o**3/9 + 138*o**2 - 540*o + 2573. Factor x(v).
4*(v - 15)*(2*v - 9)**2/9
Let n(c) be the first derivative of -4*c**5/5 - 19*c**4 - 168*c**3 - 648*c**2 - 864*c - 2026. Find x such that n(x) = 0.
-6, -1
Let m(j) = -j**3 + 7*j**2 + j + 65. Let h be m(8). Factor 16*s**3 - 20*s**4 + 5*s + 4*s**5 - 14*s + h*s.
4*s**3*(s - 4)*(s - 1)
Determine b, given that 59*b**3 + 65 + 310*b**2 + 5/2*b**5 - 39*b**4 + 549/2*b = 0.
-1, -2/5, 5, 13
Let l(c) be the third derivative of -c**8/2184 + 2*c**7/195 - 5*c**6/52 + 19*c**5/39 - 56*c**4/39 + 32*c**3/13 - 114*c**2 - 15. Suppose l(o) = 0. Calculate o.
1, 2, 3, 4
Let o be (-57)/38*254/(-3). Factor -57 - 3*k**2 + 223*k - 156*k - o*k.
-3*(k + 1)*(k + 19)
Let p be (-2 - (-7)/3) + ((-20124)/(-216))/43. Let r(v) be the second derivative of 3*v - p*v**3 - 1/4*v**5 + 5/3*v**4 + 0*v**2 + 0. Factor r(n).
-5*n*(n - 3)*(n - 1)
Let c(h) = 2*h - 2. Let j be c(2). Let u be 48/(-360) - (8 - 610/75). Let 2/3*q + u + 1/3*q**j = 0. What is q?
-2, 0
Let t be (-840)/(-882) + 100/(-150). Factor t*r**2 - 10/7*r + 10/7*r**3 + 0 - 2/7*r**4.
-2*r*(r - 5)*(r - 1)*(r + 1)/7
Let y(d) be the third derivative of d**6/24 + 53*d**5/12 + 195*d**4 + 4590*d**3 + 2084*d**2. Factor y(t).
5*(t + 17)*(t + 18)**2
Let s = 24397 + -24395. Suppose -2/15*f**s - 8/5*f - 22/15 = 0. What is f?
-11, -1
Let z be -2*(-3 + (229 + -1)/(-4)). Solve z*a**2 - 63*a**3 - 87*a**3 - 220*a + 195*a**3 + 80 = 0 for a.
-4, 2/3
Let k(c) be the third derivative of -c**6/40 - 2*c**5/5 + 75*c**4/8 - 63*c**3 + 748*c**2. Suppose k(v) = 0. Calculate v.
-14, 3
Find c such that 4/3*c - 8/3*c**3 - 428 + 4/3*c**5 + 856*c**2 - 428*c**4 = 0.
-1, 1, 321
Let m(o) = 14*o - 53. Let q be m(4). Factor 28*j + 4*j**4 + q*j**3 - j**4 + 4*j**4 - 6*j**4 - 24*j**2.
j*(j - 2)**2*(j + 7)
Factor 1824 - 85683*j**5 - 430809*j**3 - 140807*j**3 - 47472*j + 463632*j**2 - 1444216*j**3 + 3308682*j**4.
-3*(j - 38)*(13*j - 2)**4
Let p be 34/(-10) - (-3)/(-5). Let q(j) = j**2 + 3*j - 2. Let h be q(p). Suppose 2*z**h - 3*z**2 + 3*z**2 + 0*z**2 = 0. Calculate z.
0
Let j(r) be the second derivative of r**6/1080 - 11*r**5/360 - 127*r**3/6 + 116*r. Let o(v) be the second derivative of j(v). Factor o(c).
c*(c - 11)/3
Find k such that -3321*k - 1011*k + 70885*k**2 - 6156*k - 6874884 - 70889*k**2 = 0.
-1311
Let x(f) be the second derivative of f**4/3 + 58*f**3/3 - 207*f + 2. Factor x(k).
4*k*(k + 29)
Factor -46*a**3 - 62*a + 5*a**5 + 100*a**2 + 2*a + a**3 + 10*a**3 - 10*a**4.
5*a*(a - 2)**2*(a - 1)*(a + 3)
Let b(o) be the first derivative of 5*o**3/3 + 50*o**2 + 320*o - 1269. Factor b(x).
5*(x + 4)*(x + 16)
Let s be -3 + 51 + 3*4/4. Factor s + 3*o**2 - 3*o**3 - 18*o**2 - 51.
-3*o**2*(o + 5)
Let o(a) be the second derivative of 5*a - 115*a**2 - 1025/6*a**3 - 190/3*a**4 + 7/4*a**5 + 15. What is j in o(j) = 0?
-1, -2/7, 23
Let s(l) = -l**3 + 3*l**2 + 6. Let q be s(3). Let u(n) = -2*n + 14. Let w be u(q). Factor 2*m**2 - 2*m**w + 3*m**2 - 13*m + m**3 + 15*m.
m*(m + 1)*(m + 2)
Let a(g) be the first derivative of 3*g**5/20 + g**4/4 - 2*g**3 - 6*g**2 - 23*g + 6. Let y(q) be the first derivative of a(q). Factor y(z).
3*(z - 2)*(z + 1)*(z + 2)
Let i(r) be the third derivative of 1/40*r**6 + 0 - 7/20*r**5 + 10*r**2 + 11/8*r**4 - 5/2*r**3 + 0*r. Factor i(z).
3*(z - 5)*(z - 1)**2
Let k(b) be the third derivative of -64*b**5/5 + 7*b**4/8 - 3*b**2 + 232. Determine i so that k(i) = 0.
0, 7/256
Let j be 1157/(-65) + 15 - 78/(-39)*3/2. Solve j*p**4 + 1/5*p**3 - 1/5*p**2 - 1/5*p + 0 = 0.
-1, 0, 1
Determine x, given that -1/5*x**2 + 552/5 - 34/5*x = 0.
-46, 12
Let a(x) be the first derivative of 1/10*x**2 + 2/15*x**3 - 116 - 2/5*x - 1/20*x**4. Suppose a(d) = 0. Calculate d.
-1, 1, 2
Let k(z) = -z**5 - 4*z**2 + 2*z. Let w(p) = -20*p**4 - 4*p**3 + 160*p**2 + 242*p + 108. Let o(t) = 4*k(t) + 2*w(t). Let o(f) = 0. What is f?
-9, -2, -1, 3
Let w(l) be the second derivative of -l**6/90 + 3*l**5/10 - 35*l**4/12 + 116*l**3/9 - 24*l**2 - 2347*l. Factor w(t).
-(t - 9)*(t - 4)**2*(t - 1)/3
Let v be ((-12)/70)/((-22)/(5852/57)). Let l be (-10 - -12)*(-3)/(-2). Factor -v*p + 0*p**2 - 2/5*p**4 + 2/5 + 4/5*p**l.
-2*(p - 1)**3*(p + 1)/5
Suppose 0 = 300*w - 299*w + 90. Let p be w/(-243)*36/30. Factor -4/9*q**3 - p*q**2 + 0 + 8/9*q.
-4*q*(q - 1)*(q + 2)/9
Let f(t) be the third derivative of -19*t**2 - 1/80*t**6 + 0*t**5 - 1/280*t**7 + 1/16*t**4 + 1/8*t**3 + 0 + 0*t. Factor f(b).
-3*(b - 1)*(b + 1)**3/4
Let r = -324027 - -324029. Find s, given that 0 - 3/8*s**r + 3/2*s = 0.
0, 4
Let x(s) = 5*s**2 + 2*s - 4. Let r(i) = -12*i**2 - 5*i + 9. Let t(q) = 2*r(q) + 5*x(q). Let v(k) = 4*k**2 + 2*k - 8. Let o(c) = 6*t(c) - v(c). Factor o(m).
2*(