ird derivative of w(x). Factor n(r).
-4*(r + 1)*(r + 3)*(3*r + 2)
Let q(b) be the third derivative of -b**6/900 - b**5/450 + b**4/45 + 4*b**3/45 - 248*b**2 - 2. Let q(z) = 0. What is z?
-2, -1, 2
Let u = 115474/13 - 8882. Find v such that -2/13*v**3 - 10/13*v - u*v**2 - 4/13 = 0.
-2, -1
Suppose -3*n + 4*z + z - 20 = 0, -3*n - 16 = -4*z. Solve 0*y**3 + 0 + 1/4*y**4 + n*y + 0*y**2 = 0 for y.
0
Factor -4/3 + 14/9*f - 2/9*f**2.
-2*(f - 6)*(f - 1)/9
Let c be 2/(-8) + 1825/20. What is z in -21*z**3 - 10*z**2 + 110*z**2 + 40*z + 15*z**4 + c*z**3 = 0?
-2, -2/3, 0
Let n(r) be the first derivative of -r**5/30 + r**4/4 + 4*r**3/3 + r**2/2 + 12. Let m(j) be the second derivative of n(j). Factor m(y).
-2*(y - 4)*(y + 1)
Let o(u) be the third derivative of 0*u**3 + 0*u + 1/1512*u**8 + 0*u**5 - 11*u**2 + 0*u**4 + 1/540*u**6 + 2/945*u**7 + 0. Factor o(q).
2*q**3*(q + 1)**2/9
Suppose -129*q + 54*q = -17*q - 290. Solve 0*x + 1/2*x**2 - 1/2*x**4 + 1/2*x**q + 0 - 1/2*x**3 = 0.
-1, 0, 1
Let d(r) be the third derivative of 37*r**2 + 0 + 0*r**3 - 1/30*r**5 + 0*r + 2/9*r**4. Factor d(f).
-2*f*(3*f - 8)/3
Let k(f) be the first derivative of f**3/30 - 79*f**2/20 + 39*f/5 - 665. Factor k(j).
(j - 78)*(j - 1)/10
Let v = 7 - -22. Let i = v - 23. Find x such that i*x + 0*x**2 + 21*x**4 + 38*x**2 - 5*x**2 + 48*x**3 = 0.
-1, -2/7, 0
Factor -344/7*o**2 - 12*o**3 - 368/7*o - 32/7.
-4*(o + 2)**2*(21*o + 2)/7
Find k, given that -529/7 - 1/7*k**2 - 46/7*k = 0.
-23
Let g(u) be the second derivative of u**7/42 - u**6/2 + 43*u**5/20 + 49*u**4/4 - 184*u**3/3 + 96*u**2 + 2*u - 227. Factor g(z).
(z - 8)**2*(z - 1)**2*(z + 3)
Suppose 2*h - 2*f = -0*f + 8, 3*h + f - 20 = 0. Let c be (-2)/h + 9*10/45. Factor 0 + r - c*r**2.
-r*(5*r - 3)/3
Let b(k) = -k**2 + 155*k - 155*k. Let d(v) = v + 6. Let a be d(-5). Let c(h) = 7*h**2 + 2*h. Let i(u) = a*c(u) + 6*b(u). Factor i(m).
m*(m + 2)
Factor -40/7*y - 25/7 - 16/7*y**2.
-(4*y + 5)**2/7
Solve 7/2*u**3 + u + 0 + 9/2*u**2 = 0 for u.
-1, -2/7, 0
Let z(m) be the second derivative of 0 - 10/21*m**7 - 4/9*m**4 - 8/5*m**5 - 82/45*m**6 + 0*m**2 - 5*m + 0*m**3. What is j in z(j) = 0?
-2, -2/5, -1/3, 0
Let a(l) be the third derivative of -2*l**7/105 - 2*l**6/15 + 9*l**5/5 - 19*l**4/3 + 32*l**3/3 - 38*l**2 + l. Factor a(i).
-4*(i - 2)*(i - 1)**2*(i + 8)
Let w(i) = 2*i**3 + i**2 + 2. Let n(d) = 52*d**3 + 108*d**2 - 24*d + 16. Let z(s) = -n(s) + 8*w(s). Factor z(b).
-4*b*(b + 3)*(9*b - 2)
Let 18*q**4 + 162*q**5 - 8*q - 323*q**5 + 39*q**3 + 164*q**5 + 20*q + 36*q**2 = 0. Calculate q.
-2, -1, 0
Let x(f) = -3*f - 10. Let c be x(-5). Factor 6*y + 50 + 4*y - c*y**2 - 55.
-5*(y - 1)**2
Suppose -118*i + 115*i = -6. Factor -11/4*l + 7/4*l**i + 1.
(l - 1)*(7*l - 4)/4
Suppose 2*m + 73 + 72 - 151 = 0. Suppose -v**m - 2*v**2 - 1/4 - 5/4*v = 0. Calculate v.
-1, -1/2
Let j be (-1 - -8) + ((-21600)/3360 - 3/7). Factor 0*z - j*z**3 + 0 - 1/7*z**2 + 1/7*z**5 + 1/7*z**4.
z**2*(z - 1)*(z + 1)**2/7
Let u(d) be the third derivative of d**6/2 + 31*d**5/15 - 11*d**4/3 - 16*d**3 + 254*d**2. Factor u(j).
4*(j - 1)*(3*j + 2)*(5*j + 12)
Let o(z) be the third derivative of -1/32*z**4 - 17*z**2 + 0*z + 1/160*z**5 + 0*z**3 + 0. Suppose o(x) = 0. Calculate x.
0, 2
Factor -30/7*w**2 + 3/7*w**5 - 18/7*w**4 + 36/7*w**3 + 0 + 9/7*w.
3*w*(w - 3)*(w - 1)**3/7
Let w be (6/(-28))/((-1692)/9870). Factor 1 + 1/4*a**2 + w*a.
(a + 1)*(a + 4)/4
Let k(f) = -f**2 - 1. Let w = -28 - -30. Let t(r) = -r**3 + 0*r**3 - 4*r**w + r**2 + 0*r**3 + 1. Let x(j) = -k(j) - t(j). Factor x(y).
y**2*(y + 4)
Factor 2/9*l**3 - 968/9 + 880/9*l + 86/9*l**2.
2*(l - 1)*(l + 22)**2/9
Let k(h) = -h**2 + 11*h - 10. Let u be k(7). Let z = 27 - u. Factor -2*d**5 - z*d - 2 - 20*d**2 - 33*d**3 - d - 10*d**4 + 13*d**3.
-2*(d + 1)**5
Let w(k) = -1 + 2*k**2 + 145*k - k**2 - 146*k. Let d(y) = 9*y**2 + 67*y + 23. Let a(l) = -d(l) - 3*w(l). Factor a(p).
-4*(p + 5)*(3*p + 1)
Let r(w) = -2*w**3 + 26*w**2 + w - 11. Let t be r(13). Let j = -2/453 - -2728/2265. Suppose -27/5*g**t + j*g + 0 = 0. What is g?
0, 2/9
Let x(o) = o**2 + 9*o - 4. Let j be x(-10). Let c be ((-4)/(-6))/(2/j). Factor -2*h**3 - c*h**3 + 0*h**3 + 4*h**2 - 16*h**4 - 10*h**5 + 2*h**3.
-2*h**2*(h + 1)**2*(5*h - 2)
Let z(h) be the third derivative of h**5/15 - 29*h**4/6 + 29*h**2. Factor z(o).
4*o*(o - 29)
Suppose -42*s + 285*s + 76*s + 165*s**2 + 159 + 2*s + 3*s**3 = 0. Calculate s.
-53, -1
Let x(j) = -95*j**2 - 4765*j - 4880. Let p(w) = 8*w**2 + 397*w + 407. Let h(a) = 35*p(a) + 3*x(a). Factor h(s).
-5*(s + 1)*(s + 79)
Determine u so that -2*u + 2/5*u**2 - 12/5 = 0.
-1, 6
Factor 3/2*r**2 - 18*r + 54.
3*(r - 6)**2/2
Let m(k) = 5*k**2 + 6*k - 4. Let c(a) = 14*a**2 + 17*a - 11. Let j be (12/(-10))/(-6) - 56/5. Let r(n) = j*m(n) + 4*c(n). Determine u so that r(u) = 0.
-2, 0
Let l(x) be the second derivative of 3/100*x**5 + 0*x**3 + 0 + 2/5*x**4 + 0*x**2 - 14*x. Factor l(p).
3*p**2*(p + 8)/5
Let y(o) = -7*o**3 + 35*o**2 + 16*o + 11. Let a(x) = x**3 - 6*x**2 - 3*x - 2. Let n(m) = -11*a(m) - 2*y(m). Factor n(h).
h*(h - 1)*(3*h - 1)
Let u(a) = 3*a**2 + 36*a + 4. Let b be u(-11). Let h be (-1 + b/(-25))/((-10)/(-100)). Determine f, given that -h*f + 4/5 + f**3 - 7/5*f**2 = 0.
-1, 2/5, 2
Let u(q) be the third derivative of q**7/315 + q**6/45 + 2*q**5/45 - 2*q**2 - 338*q. Determine z, given that u(z) = 0.
-2, 0
Let z(u) be the third derivative of u**5/150 + 69*u**4/10 + 14283*u**3/5 + 171*u**2. Factor z(k).
2*(k + 207)**2/5
Let w(j) be the first derivative of j**4/10 - 2*j**3/5 - 18*j**2/5 - 84. Factor w(c).
2*c*(c - 6)*(c + 3)/5
Suppose 7*j - 3*j - 3 = 3*x, x - 3 = 0. Factor a**3 + 6*a**2 + 6*a - 9*a**2 - 4*a**j.
-3*a*(a - 1)*(a + 2)
Let c(r) be the first derivative of -r**4/18 - r**3/3 - 2*r**2/3 - 9*r - 19. Let p(t) be the first derivative of c(t). Solve p(m) = 0.
-2, -1
Let l(c) be the first derivative of -6 + 0*c**3 + 0*c**2 - 8*c - 1/4*c**4 + 3/20*c**5. Let g(d) be the first derivative of l(d). Find u, given that g(u) = 0.
0, 1
Let k be 9 + -3 + 0 - (9 + -3). Let -8/5*h + 0*h**2 + k + 6/5*h**3 + 2/5*h**4 = 0. Calculate h.
-2, 0, 1
Let q(d) = -4*d**2 - 125*d - 27. Let j be q(-31). Factor -14 - j*h - 2/7*h**2.
-2*(h + 7)**2/7
Let q(k) be the second derivative of -k**4/36 - k**3/3 - 4*k**2/3 - 125*k. Factor q(d).
-(d + 2)*(d + 4)/3
Let y(n) be the first derivative of -1/90*n**5 + 2/9*n**3 - 5 + 0*n - 1/36*n**4 - 5/2*n**2. Let x(k) be the second derivative of y(k). Factor x(r).
-2*(r - 1)*(r + 2)/3
Suppose -4*p + 60 = 6*j + 6*j, 0 = p - 4*j + 20. Find t such that p - 15/7*t**2 + 3/7*t = 0.
0, 1/5
Let o(y) be the first derivative of y**4/12 - 4*y**3/9 - y**2/6 + 4*y/3 + 16. Determine r so that o(r) = 0.
-1, 1, 4
Suppose 0 = b + 4*l - 10, 0 = -5*b + l + 3*l + 2. Factor -2*d + d**b + 12 - 9*d**2 + 11*d + 5*d**2.
-3*(d - 4)*(d + 1)
Determine y, given that 42*y**2 + 9*y**4 - 17*y**4 + 6*y**4 + 40*y**3 = 0.
-1, 0, 21
Determine m, given that -1/4*m**2 + 53/2*m - 2809/4 = 0.
53
Let i(p) = 296455*p**2 + 3085*p + 18. Let b(r) = -444683*r**2 - 4628*r - 28. Let l(g) = 5*b(g) + 8*i(g). Find c such that l(c) = 0.
-2/385
Let d(c) = c**2 + 2*c + 2. Let s(w) = -8*w**2 - 8*w - 57. Let j(z) = -36*d(z) - 4*s(z). Factor j(f).
-4*(f - 3)*(f + 13)
Let u(o) be the second derivative of -o**4/12 + o**3 + 5*o**2/2 - 7*o. Let x be u(6). What is h in -8*h**x + 4*h - 4*h + 7*h**5 = 0?
0
Suppose 4*q = -2*b + 10, 0 = b - 2*b - 3*q + 2. Solve -9*w**2 + 1 + b + 6*w**2 = 0.
-2, 2
Let x(w) be the second derivative of 1/3*w**2 + 1/15*w**5 + 0 - 1/18*w**4 + 7*w - 2/9*w**3. Solve x(a) = 0 for a.
-1, 1/2, 1
Let y = -2661 - -2661. Solve 8/9*b**4 - 2/3*b**5 + 2/9*b**3 + 0 - 4/9*b**2 + y*b = 0.
-2/3, 0, 1
Suppose -3*i - 19 + 42 = r, 2 = r. Let y(f) be the third derivative of -1/4*f**4 + 1/10*f**5 + 7/60*f**6 - 2/3*f**3 + 0 + 0*f + 1/35*f**7 + i*f**2. Factor y(u).
2*(u + 1)**3*(3*u - 2)
Let d(j) be the first derivative of 0*j - 1/2*j**3 + 17 + 3*j**2. Suppose d(g) = 0. Calculate g.
0, 4
Suppose z = 4*z. Let m(y) be the third derivative of -1/525*y**7 + 0*y**6 + z*y - 6*y**2 + 0*y**4 - 1/15*y**3 + 0 + 1/75*y**5. Determine t so that m(t) = 0.
-1, 1
Let j(o) be the second derivative of o**8/15680 - o**7/1470 + o**6/336 - o**5/140 + 3*o**4/4 + 30*o. Let k(l) be the third derivative of j(l). Factor k(r).
3*(r - 2)*(r - 1)**2/