n(w).
w*(w - 3)*(w - 1)**2/3
Let d(w) = -6*w**3 + 14*w**2 - 29*w + 5. Let g(s) = -8*s**3 + 16*s**2 - 30*s + 6. Let h(u) = 6*d(u) - 5*g(u). Factor h(t).
4*t*(t - 2)*(t + 3)
Let u(h) = -h**3 - h. Let j(p) = -p**3 - 2*p. Suppose 5 = v + 43. Let o = 39 + v. Let b(y) = o*j(y) - 2*u(y). Factor b(r).
r**3
Let t(s) = -s**2 - 16*s - 61. Let g be t(-7). Let f(d) be the first derivative of 1/11*d**g + 0*d + 3/22*d**4 + 2/11*d**3 + 2/55*d**5 - 4. Factor f(z).
2*z*(z + 1)**3/11
Let x = 2220 - 2220. Suppose 3/4*h**2 + 3/2*h**3 + x - 3/2*h - 3/4*h**4 = 0. What is h?
-1, 0, 1, 2
Suppose 7*k + 771 = 148. Let d = -86 - k. Let 3/4*w**4 - 3/4*w**d + 0 + 3/4*w - 3/4*w**2 = 0. Calculate w.
-1, 0, 1
Let v be 2/(18/(-63)) - -12. Let -2/3*q**2 + 6*q**v + 0*q + 0 - 10*q**4 + 14/3*q**3 = 0. Calculate q.
0, 1/3, 1
Let i = 1705 - 1702. Determine l, given that 0*l**2 + 0 - 5/3*l**i + 10/3*l**4 + 0*l - 5/3*l**5 = 0.
0, 1
Let h(n) = -6*n**4 + 12*n**3 + 62*n**2 + 84*n + 20. Let z(i) = 2*i**4 - 4*i**3 - 21*i**2 - 28*i - 7. Let m(t) = -3*h(t) - 10*z(t). Factor m(j).
-2*(j - 5)*(j + 1)**3
Let o(w) be the second derivative of w**8/5040 - w**7/1260 + w**5/180 - w**4/72 + 11*w**3/6 - 9*w. Let j(l) be the second derivative of o(l). Solve j(t) = 0.
-1, 1
Let t = -243 - -243. Let p(z) be the third derivative of t + 0*z**4 + 1/20*z**5 + 0*z**3 + 0*z - 1/10*z**6 + 4*z**2. Factor p(v).
-3*v**2*(4*v - 1)
Suppose -7*t + 241 = 227. Let q(g) be the first derivative of -16/35*g**5 - 2/7*g + 3/14*g**6 - 5/14*g**t - 1/7*g**4 + 6/7*g**3 - 2. Solve q(i) = 0 for i.
-1, -2/9, 1
Let p be ((-2)/(-13) - (-1025)/(-3705)) + 12/36. Factor -p*q**3 - 6/19*q**4 + 0 + 0*q + 0*q**2 + 4/19*q**5.
2*q**3*(q - 2)*(2*q + 1)/19
Let k(f) be the third derivative of f**6/420 - 2*f**5/21 + 37*f**4/84 - 6*f**3/7 + 439*f**2. Factor k(r).
2*(r - 18)*(r - 1)**2/7
Suppose -2*p = 4*i + 44, 0 = p - 4*i + 31 - 3. Let h be 2/(-4)*p/6. Suppose h*b - 6*b**2 + b**3 + 2*b**2 - 2 + 3*b = 0. Calculate b.
1, 2
Let s(l) = 7*l**2 + l + 1. Let z(d) = 38*d**2 + 474*d + 478. Let b(u) = 6*s(u) - z(u). Find q such that b(q) = 0.
-1, 118
Let v(o) = 5*o**5 + 3*o**4 - 13*o**3 - 3*o**2 + 16*o + 16. Let b(r) = -r**5 - r**4 + r**3 + r**2 + r - 1. Let d(n) = -4*b(n) - v(n). Find j such that d(j) = 0.
-2, -1, 2, 3
Let b(y) = 10*y**4 + y**3 - y**2 - 4*y + 6. Let h(u) = 19*u**4 + u**3 - 3*u**2 - 7*u + 11. Let x(c) = -11*b(c) + 6*h(c). Determine m so that x(m) = 0.
-1, 0, 1/4, 2
Let s be 11500/1150 + 64/(-22). Suppose -72/11*b - 6/11*b**2 + s = 0. Calculate b.
-13, 1
Let o(r) = 15*r**2 + 45*r + 30. Let f(d) = 6*d**2 + 12 + 3*d + 2*d + 6*d + 7*d. Let s(l) = -12*f(l) + 5*o(l). Determine h so that s(h) = 0.
-2, -1
Let q(h) be the first derivative of -2*h**5/55 - 13*h**4/22 - 40*h**3/11 - 112*h**2/11 - 128*h/11 + 155. Suppose q(u) = 0. What is u?
-4, -1
Let g(u) be the second derivative of 0*u**3 - 1/160*u**5 + 14*u - 1/96*u**4 + 0 + 0*u**2 + 1/240*u**6 + 1/336*u**7. Factor g(q).
q**2*(q - 1)*(q + 1)**2/8
Let v = 2/507 + 3032/2535. Let q = 3 + -3. Factor q + 3/5*d**3 + v*d**2 + 3/5*d.
3*d*(d + 1)**2/5
Let b(m) = -m**3 - 6*m**2 - 3*m - 5. Let j be b(-5). Let n = j + 17. Let 10*s**n + 4*s - 4 - 8*s**2 + 6*s**2 = 0. What is s?
-1, 1/2
Find n such that -65*n**2 + 190*n**2 - 63*n**2 - 180*n + 5*n**4 + 45*n**3 - 56 - 104 - 42*n**2 = 0.
-8, -2, -1, 2
Let j(y) be the third derivative of 9/80*y**6 + 0*y + 3/8*y**3 + 2*y**2 + 13/32*y**4 + 0 + 1/40*y**7 + 1/448*y**8 + 11/40*y**5. Let j(h) = 0. Calculate h.
-3, -1
Suppose -23*v + 3 = -22*v. Let j(q) be the second derivative of 3/2*q**3 + 0 - 3*q - 1/4*q**4 - v*q**2. Factor j(d).
-3*(d - 2)*(d - 1)
Let h = -8 - -10. Find w such that -4*w**h + 4*w**3 + 8*w**2 - 6*w**3 = 0.
0, 2
Suppose 2*w = 3*w - 1. Let d be w/3*312/221. Factor 0 - 12/17*k**3 + 8/17*k**4 - 2/17*k - 2/17*k**5 + d*k**2.
-2*k*(k - 1)**4/17
Suppose -21 = -2*z + 11. Let a = z + -12. Factor 29*k - a*k**5 - 24*k**3 + 3*k - 8*k**2 + 20*k**4 - 8*k**2.
-4*k*(k - 2)**3*(k + 1)
Let q(c) be the third derivative of c**7/1400 + c**6/150 + 3*c**5/200 + 3*c**3 - 23*c**2. Let a(p) be the first derivative of q(p). Factor a(i).
3*i*(i + 1)*(i + 3)/5
Let a be 2 + -3 + (3 - -26). Let x = -27 + a. Factor -3*g**2 - 5 + 7*g**2 - x - 10.
4*(g - 2)*(g + 2)
Determine p, given that 0 - 6*p**2 - 3/2*p**5 + 9*p**3 - 12*p + 3/2*p**4 = 0.
-2, -1, 0, 2
Let m = 391 - 388. Let a(r) be the first derivative of 0*r + 3/10*r**2 - 6 - 1/15*r**m. Factor a(g).
-g*(g - 3)/5
Let w(l) = -l**2 + 9*l + 2. Let j be w(9). Suppose 0 = 2*y - 7*y - 5*i + 5, -j = -3*y - 4*i. Factor -2*m**2 + 5*m**y - 4*m**3 - 4*m**2 - 3*m**2.
-4*m**2*(m + 1)
Let s(h) = -2*h**3 - 2*h**2 - 6*h - 4. Let a be s(-1). Factor 2*t**a - 6*t**2 - 99*t**4 + 103*t**4.
4*t**2*(t - 1)*(t + 1)
Suppose 4*z - 332 - 20 = 0. Let s = -325/4 + z. Factor s*h**2 - 15/4*h**3 - 3/4 - 9/4*h.
-3*(h - 1)**2*(5*h + 1)/4
Let v(n) = -n + 3. Let h(s) = 5*s - 13. Let q(x) = -2*h(x) - 9*v(x). Let t be q(-4). Suppose z**t - 12*z + 3*z**3 + z**2 - z**2 + 8 = 0. Calculate z.
-2, 1
Let s(r) be the first derivative of 4/21*r**3 - 9 - 2/5*r**5 - 5/14*r**4 + 0*r + 0*r**2. Factor s(l).
-2*l**2*(l + 1)*(7*l - 2)/7
Let t(q) be the first derivative of 4*q**2 - 16/3*q**3 - 37 + 3*q. Factor t(b).
-(4*b - 3)*(4*b + 1)
Suppose 5*g = 4*a - 31, -4*g - 11 = 1. Let y be (63/30 + -2)*8/a. What is p in 0*p - y*p**2 + 0 = 0?
0
Let q(t) be the second derivative of 64*t**6/75 - 584*t**5/25 - 30*t**4 - 227*t**3/15 - 19*t**2/5 - 25*t - 1. Factor q(l).
2*(l - 19)*(4*l + 1)**3/5
Let c(f) be the second derivative of 2*f**7/21 + 2*f**6/15 - 13*f**5/5 - f**4/3 + 8*f**3 - 251*f. Find u, given that c(u) = 0.
-4, -1, 0, 1, 3
Factor 2/9*c**2 + 32/3*c + 128.
2*(c + 24)**2/9
Let s be 68/70 + (-48)/84. Factor 2/5*h**2 + 2/5*h - 2/5*h**3 - s.
-2*(h - 1)**2*(h + 1)/5
Let u be (-20)/(-90) + 68/18. Suppose -5*x - 2 + 37 = 5*o, 0 = -2*o + u*x - 16. Let h**3 + 0*h**4 + 0 - 1/2*h**5 + 0*h**o - 1/2*h = 0. What is h?
-1, 0, 1
Let w = 155/3 + -1547/30. Let z(p) be the second derivative of 0 - 3/20*p**5 + 0*p**2 + 0*p**3 - 1/4*p**4 + 1/14*p**7 + 2*p + w*p**6. Let z(v) = 0. What is v?
-1, 0, 1
Let r be 6*(-7)/(-168)*12. Find z such that -2*z**r + 1/2*z**4 + 2*z**5 + 0 + 0*z - 1/2*z**2 = 0.
-1, -1/4, 0, 1
What is o in -o - 393*o**3 - 4*o + 388*o**3 + 10*o**2 = 0?
0, 1
Let b = -10/541 + 2725/1082. Factor 5/2*u**3 - 5/2*u**5 + 0*u + b*u**2 + 0 - 5/2*u**4.
-5*u**2*(u - 1)*(u + 1)**2/2
Let c be 98/(-14) - 4*2/(36/(-39)). Let -5/3*q**3 + c*q - 1/6*q**4 + 25/6 - 4*q**2 = 0. Calculate q.
-5, -1, 1
Let d be -9 + -2 + (25 - 11). Factor 1/3*k - 1/3*k**4 + 0 - 1/3*k**d + 1/3*k**2.
-k*(k - 1)*(k + 1)**2/3
Let n(k) be the second derivative of 2*k**6/15 + k**5/5 - k**4/3 - 2*k**3/3 + 186*k. Factor n(x).
4*x*(x - 1)*(x + 1)**2
Let o(d) be the second derivative of 4*d + 0 + 1/6*d**4 + d**2 - 2/3*d**3. Factor o(x).
2*(x - 1)**2
Let x(i) be the third derivative of 0 + 0*i - 9*i**2 + 27/2*i**3 + 2/35*i**7 - 37/40*i**6 + 117/20*i**5 - 135/8*i**4. Factor x(q).
3*(q - 3)**3*(4*q - 1)
Let g(u) be the first derivative of u**4/6 - 2*u**3/3 + u**2 - 4*u - 10. Let n(z) be the first derivative of g(z). Factor n(v).
2*(v - 1)**2
Let n(r) be the first derivative of 12*r + 32*r**2 + 20/3*r**3 - 48. Factor n(y).
4*(y + 3)*(5*y + 1)
Suppose -4*m + 14 - 2 = 2*o, 3*o = 3*m. Let b(i) be the third derivative of 0 - 1/32*i**4 - 1/240*i**5 - 1/12*i**3 + 0*i - i**o. Solve b(s) = 0 for s.
-2, -1
Let p = -61 - -120. Let t = 303/5 - p. Let s**3 + 0 - 4/5*s - t*s**2 = 0. Calculate s.
-2/5, 0, 2
Let z(x) be the first derivative of 8*x**3 - 1 + 0*x + 12*x**4 + 3/2*x**2. Factor z(s).
3*s*(4*s + 1)**2
Let m(k) be the first derivative of 17/35*k**5 - k**4 - 4/7*k**2 + 22/21*k**3 + 42 + 1/7*k - 2/21*k**6. Suppose m(n) = 0. What is n?
1/4, 1
Let c be (-2)/(-8) - 478/(-8). Factor 67*a - 5*a**5 - 18*a + 16*a - 3*a**2 - 7*a**2 - c*a**3 - 30 + 40*a**4.
-5*(a - 6)*(a - 1)**3*(a + 1)
Let r = -4364131/132 + 33062. Let m = -3/44 + r. Factor 2/3 + t + m*t**2.
(t + 1)*(t + 2)/3
Let d be 4/(-5)*5/(-2). Suppose 5*g + a = 18, -d*g - 5 + 3 = 5*a. Solve -9 + 5*z**2 - 4*z**2 + 4*z**2 - g*z**3 + 5*z**3 + 3*z = 0.
-3, 1
Suppose -3*o = 5*c - 13, 4*c + 3*o - 6 - 2 = 0. Let r be ((-8)/(-6))/(c/15). Factor 3*g**2 - 32*g**r - 3*g**3 + 33*g**4 - 2*g + g.
g*(g - 1)**3
Factor