0*p - 4*p + 4*p. Let a(o) = 3 - 16 + 5 + 16*o + 4*o**3 - 8 - 20*o**2. Let n(c) = a(c) + 16*k(c). Factor n(x).
4*(x - 2)**2*(x - 1)
Let l(k) = -2*k**4 + 4*k**3 + 29*k**2 - 16*k - 69. Let t(a) = -a**4 + 2*a**3 + 15*a**2 - 8*a - 35. Let m(i) = -6*l(i) + 10*t(i). Factor m(w).
2*(w - 4)*(w - 2)*(w + 2)**2
Find m such that -14*m + 2*m + 47*m + 5*m**2 + 50 = 0.
-5, -2
Determine s so that -30*s**2 + 141*s - 85*s**2 + 59*s**2 + 4*s**3 + 55*s + 0*s**3 = 0.
0, 7
Let h(l) be the first derivative of -l**4/4 + 3*l**3 - 39. Factor h(p).
-p**2*(p - 9)
Let y(g) be the first derivative of -2*g**5/25 + 8*g**4/5 - 16*g**3/5 - 64*g**2 - 160*g - 141. Let y(m) = 0. What is m?
-2, 10
Let k(a) = a**2 + a. Let n(i) = 12*i - 42*i**2 + 31*i**2 - 4 + 20*i**2. Let v(f) = -4*k(f) + n(f). Factor v(c).
(c + 2)*(5*c - 2)
Suppose -9 - 3*q**3 - 1078*q**2 + 3*q + 0*q - 13 + 4 + 1099*q**2 - 3*q**4 = 0. Calculate q.
-3, -1, 1, 2
Let v = 6458/105 + -1258/21. Factor -16/5*d - 2*d**2 - v - 2/5*d**3.
-2*(d + 1)*(d + 2)**2/5
Let h = 1513 - 453899/300. Let d(x) be the third derivative of 0 + 2/75*x**5 + 0*x**3 + 0*x + 3*x**2 - h*x**6 - 1/15*x**4. Solve d(k) = 0.
0, 2
Suppose -18 = -13*h + 7*h. Let n(u) be the third derivative of -4/3*u**h + 0 + 1/6*u**4 + 0*u + 2/15*u**5 + 3*u**2 - 1/30*u**6. Factor n(o).
-4*(o - 2)*(o - 1)*(o + 1)
Let i(s) be the second derivative of -11*s**4/3 - 76*s**3/3 - 30*s**2 - s - 1. Factor i(n).
-4*(n + 3)*(11*n + 5)
Let p(j) be the third derivative of j**8/504 + 2*j**7/105 + j**6/180 - 4*j**5/15 + 4*j**4/9 + 41*j**2. Factor p(y).
2*y*(y - 1)**2*(y + 4)**2/3
Let -170*o - 95 - 57*o**2 - 70 + 52*o**2 = 0. Calculate o.
-33, -1
Let a be (-16)/(-3)*(-66)/(-88). Let i(v) be the third derivative of 0 + 0*v**a + 1/3*v**3 + 0*v - 2*v**2 - 1/30*v**5. Factor i(z).
-2*(z - 1)*(z + 1)
Suppose -4*z + w + 4 = -0*z, -2*z + 4*w = 12. Factor -6*k**2 - 3*k**2 + 12*k**3 + 2*k - 3*k**2 - z*k**3.
2*k*(k - 1)*(5*k - 1)
Let y be ((-36)/54)/(1/(-6)). Factor -16*d**3 + y*d**2 + 2*d**2 - 10*d**2.
-4*d**2*(4*d + 1)
Let i(d) be the third derivative of d**6/160 + 3*d**5/80 - d**4/8 - 126*d**2. Factor i(w).
3*w*(w - 1)*(w + 4)/4
Let w(m) be the first derivative of -16/21*m**3 + 1/7*m**4 + 0*m + 8/7*m**2 - 14. Factor w(h).
4*h*(h - 2)**2/7
Let z(o) = -10*o**2 - 82*o - 48. Let k(h) = -h**2 - 7*h. Let n(a) = -18*k(a) + 2*z(a). Let n(m) = 0. Calculate m.
-16, -3
Let x(k) be the third derivative of k**8/560 - 11*k**7/35 + 112*k**6/5 - 784*k**5 + 10976*k**4 + 614656*k**3/5 + 1019*k**2. Let x(s) = 0. Calculate s.
-2, 28
Let o(r) be the third derivative of -r**7/105 - 13*r**6/15 - 311*r**5/15 + 117*r**4 - 243*r**3 - 72*r**2 - 2. Solve o(j) = 0.
-27, 1
Let o(y) = -y**3 + y**2 + y + 1. Let f(b) = 12*b + 3*b**2 - 4*b**5 + 12 + b**4 - 7*b**4 + 11*b**2 - 12*b**3. Let h(i) = f(i) - 12*o(i). Factor h(q).
-2*q**2*(q + 1)**2*(2*q - 1)
Let v(d) = 3*d**3 - 21*d - 23. Let a(y) = -3*y**3 + 21*y + 22. Let o(b) = 5*a(b) + 4*v(b). Determine u so that o(u) = 0.
-2, -1, 3
Suppose -14*l + 5*l = 0. Suppose l*z - 98 - 95 + 68 + 50*z - 5*z**2 = 0. Calculate z.
5
Let h = -10765 - -10768. Find r such that -5/2*r**h - 2*r + 4*r**2 + 1/2*r**4 + 0 = 0.
0, 1, 2
Suppose 0 = 50*j - 46*j - 8. Factor 0*v**j + 36 - 2*v - v**2 - 33.
-(v - 1)*(v + 3)
Let d(w) = w**5 + 7*w**4 + 6*w**2 + 6*w - 6. Let x(j) = -j**2 + 0*j**4 - 5*j**4 - 2 + 4*j**4 + 3 - j. Let q(c) = -d(c) - 6*x(c). Factor q(s).
-s**4*(s + 1)
Let u = 61/186 + -121/558. Solve 0 - u*r**2 + 1/3*r**3 - 1/3*r**4 + 0*r + 1/9*r**5 = 0.
0, 1
Let p(s) be the second derivative of s**5/4 + 745*s**4/12 + 9125*s**3/2 - 28125*s**2/2 + 821*s. Factor p(v).
5*(v - 1)*(v + 75)**2
Suppose 5*m - 18 = 12. Find p, given that -m*p**2 + 50*p**4 + 32 + 54*p**2 + 160*p**3 + 68*p - 196*p = 0.
-2, 2/5
Let j(u) be the third derivative of -u**5/12 + 15*u**4/2 - 270*u**3 + u**2 + 2. Suppose j(h) = 0. Calculate h.
18
Let n be 6 - ((-1)/((-2)/16) - 4). Suppose 2*r + n = 8. Let -2*u**4 - 2*u**r - 2/3*u**5 + 0 - 2/3*u**2 + 0*u = 0. Calculate u.
-1, 0
Suppose 13*s = 9*s + 8. Let k be 2*2*s/18. Determine z, given that -2/3*z - 2/9*z**2 - k = 0.
-2, -1
Let h be 15*(-3)/2*160/(-48). Factor -10*x - 2*x - 28*x + 40*x**3 + 80*x**4 - h*x**2 - 5.
5*(x - 1)*(x + 1)*(4*x + 1)**2
Suppose 0 = -2*a + 4*t - 4, 3*a - t - 2 = 2. Factor 8*z - 13*z**2 + 6*z**2 - 5*z**a + 4*z**3.
4*z*(z - 2)*(z - 1)
Factor -62*t**4 - 7*t**4 - 31*t**2 + 12*t + 45*t**2 - 9*t**5 - 5*t**2 - 45*t**3 - 18*t**5.
-3*t*(t + 1)**3*(9*t - 4)
Let b(r) be the third derivative of -r**5/20 + 41*r**4/4 - 1681*r**3/2 + 23*r**2 - r. Let b(h) = 0. What is h?
41
Suppose -4*m + 3*s + 6 = 0, -4*m + s = -9*m - 2. Suppose 11 = -2*k - 5*r, r = 5*k + 3 - 16. Suppose 4/5*c**k - 2/5 + m*c**3 - 2/5*c**4 + 0*c = 0. What is c?
-1, 1
Let r(t) = -4*t**2 + 1. Let u(p) = -17*p**2 + 16*p - 24. Let x(j) = 4*r(j) - u(j). Let x(k) = 0. What is k?
2, 14
Let w be 22/(-2) + 28/((-2184)/(-975)). Factor 57/2*p**2 + 297/2*p + 243/2 + w*p**3.
3*(p + 1)*(p + 9)**2/2
Let d(o) = -3*o**2 - 19*o - 3. Let g be d(-6). Factor -6 + 5*s**2 - 14 - 3 + g.
5*(s - 2)*(s + 2)
Factor -10 + 2/9*j**2 + 88/9*j.
2*(j - 1)*(j + 45)/9
Let h be 267/(-18) + 105/7. Factor 0 - 1/3*b + h*b**2.
b*(b - 2)/6
Let s(i) be the third derivative of i**7/1890 - i**6/108 + 2*i**5/45 + i**4/6 + 7*i**2. Let w(g) be the second derivative of s(g). Solve w(t) = 0 for t.
1, 4
Let t(y) = -y**4 + y**3 - 2*y**2 + 1. Let c(j) = 12*j**4 + 26*j**3 + 254*j**2 + 648*j + 638. Let q(p) = c(p) + 10*t(p). Find v, given that q(v) = 0.
-6, -3
Let p(v) be the second derivative of v**6/120 + v**5/40 - 37*v. What is h in p(h) = 0?
-2, 0
Let t(p) = 9*p**2 - 34*p - 29. Let b(l) = 5*l**2 - 18*l - 15. Let j(g) = -11*b(g) + 6*t(g). Factor j(m).
-(m + 3)**2
Let v = 2301 + -2301. Suppose -1/2*s**3 + s**2 + 0 + v*s - 1/2*s**4 = 0. What is s?
-2, 0, 1
Suppose 5*u - 4 = 3*u. Let c be (-2 + u)*(-7 - -8). Solve c + 2 - 2*q**2 + q**2 - q**2 = 0 for q.
-1, 1
Factor 1/5*n**3 + 16/5 + 14/5*n**2 - 31/5*n.
(n - 1)**2*(n + 16)/5
Let x(a) be the first derivative of -a**4/7 - 68*a**3/21 - 80*a**2/7 + 1200*a/7 - 310. Factor x(m).
-4*(m - 3)*(m + 10)**2/7
Let t(y) be the second derivative of y**5/80 + 7*y**4/48 - y**3/24 - 7*y**2/8 - 131*y. Let t(i) = 0. What is i?
-7, -1, 1
Let b(z) be the third derivative of 4/45*z**5 - 12*z**2 + 0 - 1/6*z**4 + 0*z**3 + 0*z - 1/90*z**6. Suppose b(a) = 0. What is a?
0, 1, 3
Let f = -231 + 3005/13. Suppose 35*w = 41*w - 12. Determine x so that f*x**w + 6/13 - 8/13*x = 0.
1, 3
Determine w so that -63504 + 14*w**4 + 11088*w + 524*w**2 + 21*w**4 - 104*w**3 + 23*w**4 + 16*w**3 - 62*w**4 = 0.
-18, 7
Solve 0 - 1/7*n**3 - 10/7*n + n**2 = 0 for n.
0, 2, 5
Let f(k) be the second derivative of -8*k - 10/33*k**3 - 1/66*k**4 - 25/11*k**2 + 0. Determine a, given that f(a) = 0.
-5
Let m(v) be the first derivative of -8*v**3 + 9*v**3 - v + 2 + v - 3*v. What is s in m(s) = 0?
-1, 1
Factor -1/3*f**2 + 5/3*f**3 + 0 + 1/3*f**4 - 5/3*f.
f*(f - 1)*(f + 1)*(f + 5)/3
Let b(s) = s**3 - 6*s**2 + 6*s - 2. Let v be (-2)/7 + (-74)/(-14). Let l be b(v). Suppose 7*z**2 - 11*z**2 + 2*z + l*z**2 = 0. Calculate z.
0, 2
Let m(y) = -y. Let s(v) = 16*v. Let o(c) = -6*m(c) - s(c). Let z be o(-6). Factor -60*w**3 - 9 + 2 - 1 - 4*w**3 + z*w - 96*w**2.
-4*(w + 2)*(4*w - 1)**2
Let a be -8 + 4 + 2 + 3. Let j be (0 + 0)/(3/3)*a. Suppose 6*h**4 + 15/4*h**5 + 0*h + j*h**2 - 3*h**3 + 0 = 0. What is h?
-2, 0, 2/5
Let x(l) = -3*l - 5*l**2 - 8*l - 15*l**2 + 15 - l**3 + 7*l**2. Let q be x(-12). Factor 1/4*n**q + 0*n - 1/4*n**2 + 0.
n**2*(n - 1)/4
Let t be (-270)/(-80) + (-5 - -2). Let q(s) be the third derivative of t*s**4 - 1/20*s**5 + 0*s**3 + 0 + 9*s**2 + 0*s. Find y, given that q(y) = 0.
0, 3
Let o(s) be the first derivative of s**4/6 + 4*s**3/3 + 3*s**2 + 8*s/3 - 409. Factor o(z).
2*(z + 1)**2*(z + 4)/3
Let n(c) be the first derivative of 2*c**3/9 - 3*c**2 - 20*c/3 + 77. Factor n(g).
2*(g - 10)*(g + 1)/3
Let b(x) be the first derivative of 2*x**5/5 + 11*x**4/2 - 8*x**3 - 55. Find r such that b(r) = 0.
-12, 0, 1
Let g(j) be the third derivative of 15*j**8/112 - 4*j**7/7 + 163*j**6/200 - 9*j**5/50 - 7*j**4/10 + 4*j**3/5 + 168*j**2 + 1. Determine i, given that g(i) = 0.
-2/5, 2/5, 2/3, 1
Suppose y - 48 = -5*y. Let n be ((-18)/y - -1)/(5/(-2)). Solve n*i**3 - 1/2*i + i**2 + 0 - i