0*z - 3/7*z**2 + 0*z**3 + 3/7*z**a = 0.
-1, 0, 1
Let p(f) be the first derivative of f**4/4 - 5*f**2/2 - 2*f + 7. Let c(l) = 8*l**3 - 41*l - 16. Let y(a) = -6*c(a) + 51*p(a). Factor y(x).
3*(x - 2)*(x + 1)**2
Let o(l) = l**3 - 14*l**2 + 20*l + 19. Let w be o(11). Let b = -495/4 - w. Factor 3/4*m + 1/2 + 0*m**2 - b*m**3.
-(m - 2)*(m + 1)**2/4
Let c = -47 + 49. Let i(u) = 3*u**2 - 6*u + 2. Let y be i(c). Factor -1/4*q**5 - 1/4*q**4 + 1/2*q**3 + 0*q**y + 0 + 0*q.
-q**3*(q - 1)*(q + 2)/4
Let b(z) = 7 - 4 + z + 0. Let n be b(-7). Let q(j) = j**3 + j**2 + 9*j. Let s(v) = v**3 + 8*v. Let u(l) = n*q(l) + 5*s(l). Find o, given that u(o) = 0.
0, 2
Let r(y) = -y**2 - 21*y + 70. Let s(k) = -3*k**2 - 43*k + 140. Let h(j) = 7*r(j) - 4*s(j). Determine x, given that h(x) = 0.
-7, 2
Let h = 15 - 13. Let w be ((-36)/24)/(h/(-8)). Factor 12*t**3 + w + 6*t**2 - 8*t**4 - 4*t**4 + 3*t**5 - 6*t - 9*t.
3*(t - 2)*(t - 1)**3*(t + 1)
Let x = 1/268 - -33/134. Let t(y) be the second derivative of -y + 0*y**3 + x*y**4 + 0 - 3/2*y**2. Factor t(j).
3*(j - 1)*(j + 1)
Let d(t) = -2*t - t + 2*t. Let o(z) = -3*z + 52. Let y be o(17). Let k(f) = 3*f**2 + 13*f + 6. Let b(a) = y*k(a) + 4*d(a). Factor b(m).
3*(m + 1)*(m + 2)
Let k(c) = c**5 + 4*c**4 + 6*c**3 + 8*c**2 + 5*c + 6. Let x(m) = -2*m**5 - 7*m**4 - 11*m**3 - 15*m**2 - 9*m - 11. Let i(b) = -11*k(b) - 6*x(b). Factor i(o).
o*(o - 1)**3*(o + 1)
Let s(i) be the second derivative of -i**7/168 + i**6/24 - i**5/12 + 2*i**3/3 + 13*i. Let l(t) be the second derivative of s(t). Find z, given that l(z) = 0.
0, 1, 2
Let b = 92819/5 + -18563. Factor b - 22/5*m + 18/5*m**2.
2*(m - 1)*(9*m - 2)/5
Let j(r) be the first derivative of 1/21*r**4 + 0*r - 2/105*r**5 - 2/63*r**3 + 0*r**2 - 3. Factor j(s).
-2*s**2*(s - 1)**2/21
Let f = 9/20 + -677/260. Let b = 181/78 + f. Factor b*t**2 + 2/3 + 2/3*t.
(t + 2)**2/6
Let n(x) be the third derivative of x**5/15 - 3*x**4 - 3*x**2 + 2. Factor n(g).
4*g*(g - 18)
Factor -29827 + 29797 + 12*p - 5*p**3 + 10*p + 33*p - 20*p**2.
-5*(p - 1)**2*(p + 6)
Let z(k) be the second derivative of -k**5/5 - 7*k**4/3 + 20*k**3/3 + 32*k**2 - 732*k. Let z(q) = 0. Calculate q.
-8, -1, 2
Factor 2*l**2 - 3*l - 6 + 8*l - 10*l + l.
2*(l - 3)*(l + 1)
Let t be (-1)/(-2)*(-25 + 25)/21. Factor -4*l + t + 2/3*l**2.
2*l*(l - 6)/3
Let d(o) be the first derivative of 0*o - 3/2*o**4 + 9/5*o**5 + 3*o**2 - 7 - 3*o**3. Let d(w) = 0. Calculate w.
-1, 0, 2/3, 1
Let j(x) be the second derivative of -x**8/8400 - x**7/4200 + x**6/900 + 19*x**3/6 + 18*x. Let o(m) be the second derivative of j(m). Factor o(g).
-g**2*(g - 1)*(g + 2)/5
Let g(y) be the first derivative of -y**4 + 8*y**3/3 + 2*y**2 - 8*y - 45. Solve g(i) = 0.
-1, 1, 2
Let l(p) = 2*p + 4. Let c be l(2). Let t = 22 - c. Factor 10 - 3*o - t*o**2 - 2*o + 8*o**3 + 4*o**2 - 3*o**3.
5*(o - 2)*(o - 1)*(o + 1)
Let r(l) be the third derivative of l**5/30 - 65*l**4/12 + 64*l**3/3 - 7*l**2. Factor r(m).
2*(m - 64)*(m - 1)
Let y(o) be the first derivative of 3/20*o**2 - 11/15*o**3 + 0*o + 4/5*o**5 - 10 + 31/40*o**4 - 4/15*o**6. Find q, given that y(q) = 0.
-1, 0, 1/4, 3
Let d(x) = -x**4 + x**3 + x**2 + 1. Let j be (-27)/7 + 1/(-7). Let h(v) = -2*v**5 - 4*v**4 + 6*v**3 + 6*v**2 - 2*v. Let i(w) = j*d(w) + 2*h(w). Factor i(l).
-4*(l - 1)**2*(l + 1)**3
Let g = 704/1173 + 10/1173. Suppose -2/23*n**2 + 10/23*n + 4/23*n**5 - g*n**3 + 4/23 - 2/23*n**4 = 0. What is n?
-1, -1/2, 1, 2
Factor -12113873 - 4883248 - 11259995 - 2472*u**2 - 4*u**3 - 509232*u - 15066150 + 8356002.
-4*(u + 206)**3
Let u be ((-36)/24)/(2/(-4)). Factor -1/8*q**4 + 1/4*q**2 - 1/8*q - 1/8 - 1/8*q**5 + 1/4*q**u.
-(q - 1)**2*(q + 1)**3/8
Factor -210*g - 675 - 49/3*g**2.
-(7*g + 45)**2/3
Factor -a**4 - 5950*a - 2*a**3 + 5950*a + 3*a**4.
2*a**3*(a - 1)
Let r(a) = -a**4 + 155*a**3 - 6714*a**2 + 12946*a - 6407. Let i(s) = s**3 - s**2 + 2*s + 1. Let j(v) = -14*i(v) - 2*r(v). Factor j(t).
2*(t - 80)**2*(t - 1)**2
Let p(r) = -r**2 - 2*r + 2*r**2 + 2*r**2. Let a(l) = -4*l**2 + 2*l. Let q = 245 - 242. Let n(w) = q*p(w) + 2*a(w). Find y such that n(y) = 0.
0, 2
Solve 468*h**3 - 647*h - 279*h - 184*h - 20*h**5 + 720 - 12*h**4 - 244*h**2 - 666*h = 0.
-5, -2, 2/5, 3
Let p = 49 + -47. Factor -4*b**3 - 4 - 11*b**p + 10*b**2 + 1 + 4*b + 4.
-(b - 1)*(b + 1)*(4*b + 1)
Let g(o) be the second derivative of -405*o**7/7 - 684*o**6/5 - 447*o**5/10 + 197*o**4/3 - 4*o**3/3 - 8*o**2 - 247*o. What is n in g(n) = 0?
-1, -2/15, 2/9
Let t be (3*(-24)/54)/((-1)/3). Factor 10*g**2 - 2*g**3 + 3*g - 7*g - t*g - 4*g.
-2*g*(g - 3)*(g - 2)
Suppose 3/2*k**4 - 3/2*k**2 - 1/4*k + 0 - 2*k**3 + 9/4*k**5 = 0. Calculate k.
-1, -1/3, 0, 1
Let i(x) = x**2 - 5*x - 3. Let q be i(6). What is o in -q*o**2 + 3*o**4 + 2*o**4 - 3*o**2 - 4*o - 3*o**4 = 0?
-1, 0, 2
Let n(a) be the second derivative of -a**5/210 - a**4/12 + 8*a**3/21 - 47*a**2/2 - 26*a. Let j(x) be the first derivative of n(x). Factor j(i).
-2*(i - 1)*(i + 8)/7
Let y = -1656 - -1659. Determine a, given that 0 - 2*a**2 + 2/3*a**y + 4/3*a = 0.
0, 1, 2
Let h(t) be the first derivative of -t**6/6 + 8*t**5/5 - 3*t**4 - 78. Find m such that h(m) = 0.
0, 2, 6
Suppose -5*o = 2*x - 1 - 1, -3*o = -x - 10. Suppose -2*k**o - k + 4*k**3 - 5*k + 0*k**2 + 2*k**4 + 2*k = 0. Calculate k.
-2, -1, 0, 1
Let u(p) be the first derivative of -p**4 + 264*p**3 - 19992*p**2 + 76832*p + 74. Solve u(b) = 0.
2, 98
Let -12 + 4/3*b**4 - 32/3*b**2 - 8/3*b**3 + 24*b = 0. What is b?
-3, 1, 3
Factor -6*k**2 - 48*k**2 + 80 + 5*k**3 - 8*k**2 + 30*k + 17*k**2.
5*(k - 8)*(k - 2)*(k + 1)
Let b(x) be the third derivative of 4*x**2 - 1/60*x**5 - 1/24*x**4 + 1/120*x**6 + 0 + 0*x + 1/6*x**3. Find z such that b(z) = 0.
-1, 1
Let c(u) be the first derivative of -u**8/336 + u**7/105 - u**6/120 + 33*u**2/2 + 21. Let j(d) be the second derivative of c(d). What is w in j(w) = 0?
0, 1
Let m = -707 - -709. Factor -1/5*t**m + 1/5*t**4 + 1/5*t**3 - 1/5*t + 0.
t*(t - 1)*(t + 1)**2/5
Suppose -40 = -4*l - 4*l. Suppose -5*b + l = n, 4*n + 3*b = -2*b + 5. Factor 1/6*j + n + 1/2*j**2 - 2/3*j**3.
-j*(j - 1)*(4*j + 1)/6
Let 7/2*b**4 - 4*b**3 + 0*b**2 + 1/2*b**5 + 0*b + 0 = 0. Calculate b.
-8, 0, 1
Let h(y) be the third derivative of y**5/30 - 5*y**4/4 - 16*y**3/3 - 9*y**2 + 1. Factor h(l).
2*(l - 16)*(l + 1)
Let n(j) = 13*j**2 + 23*j + 21. Let h be n(-1). Let x(d) be the first derivative of -h + 2*d + 4/3*d**3 - 5/2*d**2 - 1/4*d**4. Let x(s) = 0. What is s?
1, 2
Let w(u) be the first derivative of -u**6/16 + 3*u**5/10 + 218. Factor w(b).
-3*b**4*(b - 4)/8
Let p(r) be the third derivative of 0*r**6 - 1/105*r**7 - 1/336*r**8 + 0*r**3 + 1/24*r**4 - 14*r**2 + 1/30*r**5 + 0*r + 0. Factor p(j).
-j*(j - 1)*(j + 1)**3
Let a(f) be the first derivative of -f + 1/12*f**3 + 26 + 1/16*f**4 - 1/2*f**2. Factor a(o).
(o - 2)*(o + 1)*(o + 2)/4
Let c(l) be the third derivative of 0*l - 2/3*l**3 + 15*l**2 + 1/6*l**4 - 1/60*l**5 + 0. Find y such that c(y) = 0.
2
Let w be (22/275)/(22/330). Let -w*r**2 + 12/5*r + 18/5 = 0. Calculate r.
-1, 3
Let c(r) be the first derivative of -r**2 - 2*r + 10. Let w(v) = -v**2 + 1. Let o be (16/24)/((-4)/(-6)). Let p(m) = o*c(m) + 2*w(m). Factor p(f).
-2*f*(f + 1)
Let r = -15426/85 + 908/5. Find v such that 12/17 - 2/17*v**2 + r*v = 0.
-2, 3
Suppose 3*d = 3*c, 4*c = -4*d - d + 36. Suppose -u = -4*z + 3, c*z - 2*u + 0*u + 2 = 0. Factor 2*q**2 - z + 3*q**2 - q**4 - 2*q**2 + 2*q**3 - q - q**3.
-(q - 2)*(q - 1)*(q + 1)**2
Suppose -11*g - 15 + 37 = 0. Factor 0*a**3 - 12/7*a**4 + 0 + 0*a**g + 0*a - 4/7*a**5.
-4*a**4*(a + 3)/7
Let v be (16/(-12) + 1)*(1368/(-60))/19. Determine z, given that -12/5 + 2/5*z**2 - v*z = 0.
-2, 3
Let 14/15*d**2 + 2/15*d**3 + 8/3 - 56/15*d = 0. Calculate d.
-10, 1, 2
Let l(s) be the third derivative of s**7/90 + s**6/30 - 11*s**5/180 - s**4/6 + 2*s**3/9 - 16*s**2. Find h such that l(h) = 0.
-2, -1, 2/7, 1
Let y = 24 + -22. Solve -4*h**2 + 15*h - 10 - 4*h**2 + h**2 + y*h**2 = 0 for h.
1, 2
Let o(n) be the first derivative of n**6/2 + 4*n**5/5 - 4*n**4 - 16*n**3/3 + 8*n**2 - 28. Solve o(m) = 0 for m.
-2, 0, 2/3, 2
Factor 0*q**2 + 118 - 91 - 30*q + 3*q**2.
3*(q - 9)*(q - 1)
Let a(v) = -10 + 17 - 10 + 2*v. Let k be a(3). Factor -20*m**2 - 3*m + 17*m**2 + 0 - 4*m**3 - 1 + k*m**3.
-(m + 1)**3
Factor -55*l**4 + 6977*l**3 + 5*l**2 - 55*l**4 - 6872*l**3.
-5