t p(b) be the first derivative of -6/5*b**5 + 3/2*b**2 + 0*b + 2*b**3 + 0*b**4 - 4 - 1/2*b**6. Factor p(w).
-3*w*(w - 1)*(w + 1)**3
Let x = -2003/7 + 289. Let w = x + -18/7. Factor -20/7*l**2 - 2/7 - 10/7*l**4 - 10/7*l - w*l**5 - 20/7*l**3.
-2*(l + 1)**5/7
Let a(y) be the third derivative of 0 - 1/8*y**4 - 1/2*y**3 - 6*y**2 + 0*y - 1/80*y**5. Factor a(r).
-3*(r + 2)**2/4
Let x(b) be the third derivative of b**6/1020 + b**5/102 + 7*b**4/204 + b**3/17 + 75*b**2. Let x(z) = 0. What is z?
-3, -1
Let o be 2/((-153)/54 + -1 + 4). Let g(c) = -5*c**3 - c**2. Let s be g(-1). Factor o*u**3 - 2*u**3 - 8*u**s + u**2 - 3*u**2 + 0*u**4.
-2*u**2*(u - 1)*(4*u - 1)
Let n be ((-10)/(-36))/(-5) + 13/(-1794)*-23. Factor 4/9*h**2 - 2 + 1/3*h - n*h**3.
-(h - 3)**2*(h + 2)/9
Factor -15*u**2 + 49*u**2 - 20*u**2 - 6*u - 12 - 16*u**2 - 4*u.
-2*(u + 2)*(u + 3)
Let j be ((-3)/(-3))/(6/(-36)). Let n(q) = -10*q**2 + 19*q - 31. Let d(h) = 5*h**2 - 9*h + 16. Let y(p) = j*n(p) - 11*d(p). Factor y(o).
5*(o - 2)*(o - 1)
Let h(l) be the second derivative of -l**10/18480 - l**9/11880 + l**8/18480 + 7*l**4/4 + 40*l. Let z(n) be the third derivative of h(n). Factor z(d).
-2*d**3*(d + 1)*(9*d - 2)/11
Let g = 19618/235 + 9/470. Let j = -82 + g. Let -3/2*o**3 + j*o - 3/4 + 3/4*o**4 + 0*o**2 = 0. What is o?
-1, 1
Let w(i) be the third derivative of -i**7/385 + i**6/60 + 23*i**5/66 - 83*i**4/132 - 40*i**3/33 + 101*i**2 + 2. Let w(s) = 0. Calculate s.
-5, -1/3, 1, 8
Let u(s) = -4*s**3 + 22*s**2 - 12*s + 3. Let k(c) = -11*c**3 + 64*c**2 - 37*c + 8. Let l(t) = 3*k(t) - 8*u(t). Find y, given that l(y) = 0.
0, 1, 15
Let p(g) be the first derivative of -g**6/33 + 4*g**5/55 + 3*g**4/11 - 8*g**3/33 - 13*g**2/11 - 12*g/11 - 70. Let p(k) = 0. Calculate k.
-1, 2, 3
Let t(x) = 22*x**3 - x**2 + 2*x - 1. Let c be t(1). Let r be (-18)/(-143) - (-4)/c. Let 0 - r*m**2 + 0*m - 2/13*m**3 = 0. What is m?
-2, 0
Let s = -1992 + 1996. Let u(g) be the second derivative of 0*g**2 + 0*g**3 + 0 + 5/12*g**s + 4*g. Find z such that u(z) = 0.
0
Factor 14*u + 4*u**2 + 24 - u**2 + u**2 + 6*u.
4*(u + 2)*(u + 3)
Let z(d) = 2*d**4 + 24*d**3 - 64*d**2 + 74*d - 24. Let t(r) = -2*r**4 - r**3 - r**2 - 2. Let s(p) = -2*t(p) - z(p). Let s(a) = 0. Calculate a.
1, 2, 7
Let f be (-237)/34 + (-14 + 40 - 19). Let y(o) be the first derivative of 0*o - 2/51*o**3 - f*o**4 + 0*o**2 - 10. Let y(h) = 0. What is h?
-1, 0
Let s(o) be the second derivative of 0 - 3*o - 1/12*o**3 + 1/2*o**2 - 1/24*o**4. Solve s(z) = 0 for z.
-2, 1
Suppose -a + 4*t + 4 = 0, t - 105 + 106 = 3*a. Determine o, given that a*o + 0*o**4 + 2/11*o**5 - 6/11*o**3 + 4/11*o**2 + 0 = 0.
-2, 0, 1
Let t(l) = -l**4. Let f(c) = 5*c**3. Let o be (-2)/(-14) + 136/28. Let y(u) = o*t(u) - f(u). Factor y(x).
-5*x**3*(x + 1)
Let x(o) = -o**4 + 4*o**3 + 35*o**2 - 34*o - 106. Let t(d) = 3*d**3 + 36*d**2 - 33*d - 105. Let y(c) = 2*t(c) - 3*x(c). Factor y(n).
3*(n - 3)**2*(n + 2)**2
Let y = -1693 + 1697. Let b(x) be the first derivative of 2/3*x - 1/12*x**4 + 1/2*x**2 + 0*x**3 + y. What is c in b(c) = 0?
-1, 2
Suppose -5*g = 2*k + 31, 2*k + 47 = 2*g - 5. Let d = k - -117/5. Factor 0 - 2/5*z**5 + d*z**3 + 0*z**4 + 0*z + 0*z**2.
-2*z**3*(z - 1)*(z + 1)/5
Let l(z) be the first derivative of -z**3/6 + 5*z**2/2 + 11*z/2 + 173. Let l(t) = 0. What is t?
-1, 11
Solve 15/7*o**2 - 48/7*o**3 + 0*o + 9/7*o**4 + 0 = 0 for o.
0, 1/3, 5
Let z = 12 - 2. Let a be (3/(-2) - -2)*z. Factor -s**a + s**2 + 2*s**3 - s**3 + s**4 - 2*s**4.
-s**2*(s - 1)*(s + 1)**2
Let j = -60 - -67. Let 6*y + j - 6*y**3 - 19 - 2 + 10*y**2 - 2*y**4 + 6 = 0. What is y?
-4, -1, 1
Let j(c) be the first derivative of -2*c**7/21 + 2*c**6/5 - 3*c**5/5 + c**4/3 - 13*c**2 - 6. Let q(p) be the second derivative of j(p). Factor q(z).
-4*z*(z - 1)**2*(5*z - 2)
Let p(h) be the third derivative of h**8/2352 + h**7/490 - h**6/140 - 2*h**5/105 + 70*h**2. Factor p(v).
v**2*(v - 2)*(v + 1)*(v + 4)/7
Let y(k) be the third derivative of -k**5/210 + k**4/21 - k**3/7 - 2*k**2 + 10*k. Factor y(q).
-2*(q - 3)*(q - 1)/7
Let y(r) be the third derivative of -r**8/112 - r**7/7 - 11*r**6/20 + 6*r**5/5 + 63*r**4/8 - 27*r**3 - 38*r**2 - 3. Let y(u) = 0. Calculate u.
-6, -3, 1
Factor -20/9 - 38/9*u + 4/9*u**2.
2*(u - 10)*(2*u + 1)/9
Factor -72*p**3 - 19/2*p**4 - 272*p**2 - 512*p - 1/2*p**5 - 384.
-(p + 3)*(p + 4)**4/2
Let x be 8400/700 - (8 - (0 - 1)). Factor 3/4*v**2 - x*v + 9/4.
3*(v - 3)*(v - 1)/4
Let q = -87/11 + 283/33. Let b(u) be the first derivative of -16/5*u**5 + 8 + 6*u**4 + 0*u + q*u**6 + 2*u**2 - 16/3*u**3. Suppose b(k) = 0. What is k?
0, 1
Let f be 2 - (-2 - -2)/(-2 - 0). Let -10*r**2 - 4 - 2*r**3 + 10*r + 2*r**f + 2*r**2 + 2*r**4 = 0. Calculate r.
-2, 1
Let g(b) = -b**4 + 15*b**3 + 33*b**2 + 20*b + 3. Let d(f) = 12*f**4 - 164*f**3 - 364*f**2 - 220*f - 32. Let w(t) = -3*d(t) - 32*g(t). Solve w(x) = 0 for x.
-1, 0, 5
Let d be (10/30)/((-25)/(-30)). Let 48/5*o + 288/5 + d*o**2 = 0. Calculate o.
-12
Let l = 15 - 0. What is q in -9 - 6*q**2 + 16*q**4 + 1 + 12*q**3 - l*q - 4*q**4 + 3*q**5 + 2 = 0?
-2, -1, 1
Let q(y) be the third derivative of -2/9*y**3 + 0 - 1/12*y**4 - 1/90*y**5 - 7*y**2 + 0*y. Solve q(s) = 0 for s.
-2, -1
Factor 69*h**2 - 100*h - 63*h**2 - 20 + 49*h**2.
5*(h - 2)*(11*h + 2)
Let h(o) be the first derivative of -6*o**4 + 3 + 0*o - 2*o**2 + 16/5*o**5 + 16/3*o**3 - 2/3*o**6. Find m, given that h(m) = 0.
0, 1
Let j(s) = 5*s - 5. Let q be j(1). Let c = 1/271 + 1079/1355. Factor 0 + 2*i**3 + 2/5*i**5 + q*i - 8/5*i**4 - c*i**2.
2*i**2*(i - 2)*(i - 1)**2/5
Let u = -27 - -26. Let v be u/(-3) + (-4)/(-15). Find h such that -1/5*h**3 + 0*h**2 + v*h - 2/5 = 0.
-2, 1
Determine j, given that 0 - 81/2*j + 3/4*j**2 = 0.
0, 54
Let -5/2 + 3*b - 1/2*b**2 = 0. Calculate b.
1, 5
Let n(a) be the second derivative of 55156383*a**5/10 - 100467*a**4 + 732*a**3 - 8*a**2/3 - 344*a. Let n(c) = 0. What is c?
2/549
Let g be (24/(-15))/(3/15). Let w = -6 - g. Factor -9*u**3 - u**w + 14*u**2 - 4*u + 7*u**2.
-u*(u - 2)*(9*u - 2)
Factor -15*r**3 - 3 + 9*r**2 + 16*r**2 - 3*r**2 + 7*r + 21*r**2.
-(r - 3)*(3*r + 1)*(5*r - 1)
Determine p so that -3*p**2 + 3/4*p**4 - 3/2*p**3 + 3/2*p + 9/4 = 0.
-1, 1, 3
Factor -2205*h + 60*h**4 + 2415*h**2 - 55*h**4 - 253*h**3 + 38*h**3.
5*h*(h - 21)**2*(h - 1)
Let n be 3*(-6 - 28/(-4)). Suppose 0 = -5*o - 4*i + 21 + 5, 5*o = n*i + 33. Let -o*d**3 - 6/5 + 38/5*d**2 - 2/5*d = 0. Calculate d.
-1/3, 3/5, 1
Suppose 28*z = 25*z. Let i = 463/4 + -115. Let 0*r**2 + i*r**4 + 0 + z*r + 3/4*r**3 = 0. Calculate r.
-1, 0
Let c(g) = g**3 - 14*g**2 + 7*g + 81. Let i be c(13). Determine r so that -2/5*r**2 + 4/5 - 2/5*r**4 + 6/5*r - 6/5*r**i = 0.
-2, -1, 1
Let k = -2/15 + 7/15. Let v(z) be the second derivative of -k*z**3 + 1/12*z**4 - 3/2*z**2 - z + 0. Factor v(b).
(b - 3)*(b + 1)
Factor 7*g**3 + 8*g + 0 + 23*g**2 - 5/4*g**4.
-g*(g - 8)*(g + 2)*(5*g + 2)/4
Let p(k) be the first derivative of -k**6/2 - 51*k**5/5 - 21*k**4/4 + 133*k**3 - 258*k**2 + 192*k + 101. Factor p(z).
-3*(z - 1)**3*(z + 4)*(z + 16)
Let q(a) = -4*a**2 - 51*a + 475. Let g be q(-19). Factor 0*u**2 - 1/4*u**5 + g*u - 1/4*u**3 + 1/2*u**4 + 0.
-u**3*(u - 1)**2/4
Let d be (20/25)/(4/10). Suppose -6*z - 21 = -9*z. Suppose -2*n**d + 8 - z + n + n**2 + 1 = 0. Calculate n.
-1, 2
Let k be (4/14)/((-369)/(-27552)). Suppose -80/3*c**2 + 4*c**5 + 116/3*c**3 + 0 + 16/3*c - k*c**4 = 0. Calculate c.
0, 1/3, 1, 2
Let h(o) = -29*o + 7. Let g be h(-1). Find v such that -5*v - 7*v + 155*v**2 - g - 156*v**2 = 0.
-6
Factor -8/3*d**3 + 8/3*d + 0*d**2 + 4/3 - 4/3*d**4.
-4*(d - 1)*(d + 1)**3/3
Let j = 17241 - 51718/3. Find q such that -5/3*q**3 - j*q**4 + 0 + 5/3*q**2 + 5/3*q = 0.
-1, 0, 1
Let g(j) = 32*j**3 - 8*j**2 - 18*j + 62. Let c(h) = 3*h**3 - h + 3. Let i(y) = 20*c(y) - 2*g(y). Factor i(s).
-4*(s - 4)*(s - 2)*(s + 2)
Let -2*k**3 + 12/5 + 16/5*k**2 + 38/5*k = 0. Calculate k.
-1, -2/5, 3
Factor -5*h + h - 16*h + 21*h**2 - 17*h**2.
4*h*(h - 5)
Let x(m) be the second derivative of m**4/30 - 16*m**3 + 2880*m**2 - 342*m. Let x(g) = 0. What is g?
120
Suppose -17*g = -98 + 2835. Let h = g + 971/6. Factor -h*i**3 + 5/6*i**2 + 0 + 0*i.
-5*i**2*(i - 1)/6
Let f = -1141/2 - -571. Let t(a) be the third derivative of -1/16*a**4 + 0 + 7*a**2 - 1/40*a**5 + f*a**3 + 0*a. Factor t(n).
-3*(n - 1)*(n + 2)/2
Factor