vative of -w**5/230 + 5*w**4/46 + w**3/69 - 15*w**2/23 + 226*w - 1. Factor b(j).
-2*(j - 15)*(j - 1)*(j + 1)/23
Let 0 - 1/6*n**2 - 2*n = 0. Calculate n.
-12, 0
Suppose 2*w - 7*w = -h - 23, -5*h + 30 = 4*w. Let k be (((-6)/6)/((-2)/20))/h. Let 0*n + 2/7*n**k + 0 + 6/7*n**4 + 2/7*n**2 + 6/7*n**3 = 0. Calculate n.
-1, 0
Let s(a) = -7*a - 24. Let x be s(-4). Let h = 232 + -923/4. Find y such that 0 + 0*y + h*y**4 + y**2 + x*y**3 - 25/4*y**5 = 0.
-2/5, 0, 1
Let x = -56 + 56. Let z be 1 + x + (-32)/(-16). Factor 99/4*d**2 + 3 + 42*d**z + 12*d**4 - 21*d.
3*(d + 2)**2*(4*d - 1)**2/4
Let s be (-22)/((-264)/27) - (-1)/(-4). Factor 0 - 2/5*l**s + 2/5*l.
-2*l*(l - 1)/5
Let v be (-1 + 2)/(42/(-28)*(-10)/3). Factor 1/5*j - v*j**3 - j**2 + 3/5*j**4 + 2/5.
(j - 1)**2*(j + 1)*(3*j + 2)/5
Let a(i) = 4*i - 3. Let s be a(2). Suppose 0 = s*z - 2*z - 6. Factor 8*v**2 + 21*v**4 + 3*v**4 - 3*v + 10*v**z - 36*v**3.
3*v*(2*v - 1)**3
Let m(z) = -z + 10. Let n be m(5). Let j(h) be the first derivative of -7/15*h**n + 1/6*h**4 + 7/9*h**3 - 5 - 1/3*h**2 + 0*h. Determine p, given that j(p) = 0.
-1, 0, 2/7, 1
Let u = 18 + -13. Factor 4 - u*i**2 - i**2 - 6*i + 2*i**2 + 0.
-2*(i + 2)*(2*i - 1)
Let -3/7*x**2 - 288/7*x - 6912/7 = 0. What is x?
-48
Suppose -2 = -4*h + s, s = -2*h - 4*s - 10. Let p be 33/(-6) + 37/(296/48). Let h - 3/2*b + p*b**2 = 0. Calculate b.
0, 3
Suppose -s + 2*u + 3 = 2, 4*s + 40 = -3*u. Let w be (1/((-21)/9))/(2/s). Suppose 0 + 5/2*k**2 + w*k - 1/2*k**4 + 1/2*k**3 = 0. What is k?
-1, 0, 3
Let l(p) be the first derivative of -3*p**5/20 - p**4/4 + p**3/2 + 3*p**2/2 + 5*p - 15. Let m(u) be the first derivative of l(u). Suppose m(z) = 0. Calculate z.
-1, 1
Suppose r + 41 = -4*m + 7*m, 0 = -m + 3. Let f be (-144)/r - (-3)/(-2). What is o in 5*o**f - 3*o**3 + 2*o**2 + 2*o - 6*o = 0?
-2, 0, 1
Suppose 252*w - 254*w + 6 = 0. Let i(u) be the second derivative of -3*u - 1/72*u**4 + 0 - 5/18*u**w - 25/12*u**2. Factor i(v).
-(v + 5)**2/6
Let m(c) be the third derivative of 0*c - 2/15*c**5 - 14*c**2 + 0 - 1/6*c**4 + 0*c**3 - 1/30*c**6. Let m(x) = 0. Calculate x.
-1, 0
Let q be (-1 + 2 + -5)/((-54)/81). Suppose -83*p + 81*p = -q. Determine o, given that 6/5*o**2 + 9/5 - 21/5*o + 3/5*o**5 + 18/5*o**p - 3*o**4 = 0.
-1, 1, 3
Suppose -64*b + 67*b = 12. Let q(h) = -11*h**2 + 102*h - 28. Let t(w) = 35*w**2 - 307*w + 84. Let x(a) = b*t(a) + 14*q(a). Factor x(p).
-2*(p - 14)*(7*p - 2)
Let k = -578 - -581. Let u be 22/8 + 1/4. Factor -x + 9*x**2 + 3 + x**k + 2*x**u + 10*x.
3*(x + 1)**3
Factor 49 - 50 - 3*u - 2*u - 5*u**2 - 3*u + 2*u.
-(u + 1)*(5*u + 1)
Let y(l) = -34*l**5 - 6*l**4 + 18*l**3 + 14*l**2 - 12. Let r(t) = -3*t**5 - t**4 + t**3 + t**2 - 1. Let g(j) = -12*r(j) + y(j). Factor g(k).
2*k**2*(k + 1)**3
Let k(z) be the first derivative of 44*z**5/5 - 2*z**4 + 69. Suppose k(c) = 0. Calculate c.
0, 2/11
Let 53/2*s**2 - 5/2*s**4 + 4*s + 1/2*s**5 - 24 - 9/2*s**3 = 0. Calculate s.
-3, -1, 1, 4
Let j = 525 + -110249/210. Let w(d) be the third derivative of 0 - 3*d**2 + 0*d**4 + j*d**5 - 1/21*d**3 + 0*d. What is q in w(q) = 0?
-1, 1
Let v be ((-9)/20)/(4 + 2). Let r = 27/40 + v. Factor -12/5 - r*z**2 + 12/5*z.
-3*(z - 2)**2/5
Let q(v) be the third derivative of -v**7/3150 + v**6/900 - 11*v**4/24 - 11*v**2. Let f(c) be the second derivative of q(c). Factor f(x).
-4*x*(x - 1)/5
Let f(y) = 2*y**5 + 7*y**3 - 15*y**2 + 3. Let k(t) = t**5 - t**4 + t**3 - t**2 + 1. Let q(u) = -2*f(u) + 6*k(u). Factor q(p).
2*p**2*(p - 3)*(p - 2)*(p + 2)
Let u(m) be the first derivative of -5*m**4/4 - 515*m**3/3 + 1045*m**2/2 - 525*m + 28. Solve u(x) = 0.
-105, 1
Let k(m) = m**2. Let y(c) = -2*c**2 - c + 5. Let z(i) = 4*k(i) - y(i). Let s(l) = l**2 - 1. Let x(o) = -5*s(o) + z(o). Solve x(d) = 0.
-1, 0
Factor -40/3 - 8*c - 2/3*c**2.
-2*(c + 2)*(c + 10)/3
Factor -280*i - 141/2*i**2 - 200 + 37/4*i**3 - 1/4*i**4.
-(i - 20)**2*(i + 1)*(i + 2)/4
Let k(q) be the first derivative of 0*q**2 + 2*q**3 + 0*q - 27 + 1/2*q**4. Factor k(m).
2*m**2*(m + 3)
Let s(z) be the second derivative of 5*z**4/12 + 5*z**3/3 - 75*z**2/2 - 105*z + 1. Suppose s(b) = 0. What is b?
-5, 3
Let z(b) = -b**4 + 4*b**3 + 2*b**2 + 3. Let u(w) = -2*w + 15. Let o be u(10). Let k(n) = n**3 - n**2 - n + 1. Let m(t) = o*z(t) + 15*k(t). Factor m(g).
5*g*(g - 3)*(g + 1)**2
Let w(i) = 18 - 1 + 16*i + 2 + 17*i**2 + 12*i. Let h(o) = 11*o**2 + 19*o + 13. Suppose 0*m + 5 = -m. Let n(g) = m*w(g) + 8*h(g). Factor n(l).
3*(l + 1)*(l + 3)
Determine w so that -63 + 3*w**3 - 106 + 21 + 27*w**2 + 4 + 6*w = 0.
-8, -3, 2
Let y(u) be the third derivative of u**6/900 + 4*u**5/75 + 16*u**4/15 + 512*u**3/45 - 18*u**2 + u. Factor y(k).
2*(k + 8)**3/15
Let q(t) = t**2 - t. Let f(d) = 4*d**3 + 36*d**2 - 40. Suppose 4*h + h - 4*w = 12, -4*h = -3*w - 10. Let j(o) = h*q(o) + f(o). Factor j(b).
4*(b - 1)*(b + 1)*(b + 10)
Suppose 16 = -4*o + 24. Factor 5*d**4 + d**4 - 500*d + 300*d**2 - o*d**4 - 52*d**3 - 8*d**3.
4*d*(d - 5)**3
Let s = 199/276 - -2/69. Let p be 27/9 + (-6)/4. Determine c, given that -s*c**2 - p + 9/4*c = 0.
1, 2
Find o, given that -1169*o**2 + 454*o + 81/4*o**4 - 48 + 873/2*o**3 = 0.
-24, 2/9, 2
Let r be (-322)/805 - (-5)/12. Let c(f) be the third derivative of 0*f + 0 - r*f**4 + 1/75*f**5 - 3*f**2 - 1/15*f**3. Suppose c(z) = 0. Calculate z.
-1/2, 1
Let c(s) be the first derivative of s**7/168 + s**6/18 + s**5/6 + s**3/3 + 22*s + 52. Let o(l) be the third derivative of c(l). Suppose o(i) = 0. What is i?
-2, 0
Let h(b) be the second derivative of -3/5*b**5 + 6*b**2 + 20*b - 15/4*b**4 + 0 - 6*b**3. Factor h(v).
-3*(v + 2)**2*(4*v - 1)
Factor 64/5*t + 4/5*t**5 + 28/5*t**4 + 16/5 + 20*t**2 + 76/5*t**3.
4*(t + 1)**3*(t + 2)**2/5
Let -b**2 - b**3 + 0*b - 4*b + 1 + 5*b = 0. What is b?
-1, 1
Let w(l) be the first derivative of -12/35*l**5 + 9 + 1/7*l**4 + 4/3*l**3 + 0*l**2 - 16/7*l - 2/21*l**6. Determine x so that w(x) = 0.
-2, -1, 1
Let a(l) be the second derivative of 5*l**4/12 + 15*l**3/2 + 50*l**2 - 38*l. Factor a(x).
5*(x + 4)*(x + 5)
Let z(y) be the first derivative of y**5/90 + y**4/18 - 21*y**2/2 - 17. Let d(a) be the second derivative of z(a). Factor d(j).
2*j*(j + 2)/3
Suppose 3*n - n - 108 = -4*u, -2*u + 54 = 3*n. Suppose -5*w + 2*w = -u. Solve w*h**3 + 36*h - 17*h**2 - 5*h**3 - 7*h**2 = 0.
0, 3
Let w(n) be the second derivative of -n**7/336 - n**6/40 + 3*n**5/20 - 13*n**4/48 + 3*n**3/16 - 5*n - 4. Find z such that w(z) = 0.
-9, 0, 1
Let i = 1/3114 + 49817/21798. Suppose 60/7*y - 50/7*y**2 - i = 0. Calculate y.
2/5, 4/5
Let w(c) be the second derivative of -c**6/660 - c**5/110 + 4*c**3/33 - 29*c**2/2 + 43*c. Let d(u) be the first derivative of w(u). Factor d(g).
-2*(g - 1)*(g + 2)**2/11
Factor 0 + 1/7*c**4 + 1/7*c - 1/7*c**3 - 1/7*c**2.
c*(c - 1)**2*(c + 1)/7
Factor -7*q**2 + 20*q**2 - 13*q**2 - 3*q**2 + 28 - 48*q - 73.
-3*(q + 1)*(q + 15)
Solve 6/5*s**4 + 16/5*s**2 - 14/5*s**3 - 1/5*s**5 - 9/5*s + 2/5 = 0 for s.
1, 2
Let t(j) be the third derivative of -5/36*j**6 + 0*j + 28*j**2 - 2/9*j**5 + 17/12*j**4 + 0 - 2*j**3. Factor t(a).
-2*(a + 2)*(5*a - 3)**2/3
Let g(b) = b**3 + 2*b**2 + 2*b + 4. Let h be g(-2). Suppose -4*v + 8*v + q - 6 = h, v - 2*q - 6 = 0. Determine d so that -2 + 4 - 16*d + 20*d - 4 - v*d**2 = 0.
1
Factor 2/15*k**5 + 8/15*k**4 + 0*k + 4/15*k**2 + 0 + 2/3*k**3.
2*k**2*(k + 1)**2*(k + 2)/15
Solve -58*t**2 + 73 + 98*t**2 + 115*t + 2 = 0 for t.
-15/8, -1
Let p(r) be the second derivative of 2*r - 3/2*r**4 - 2*r**2 - 11/3*r**3 + 0. Factor p(i).
-2*(i + 1)*(9*i + 2)
Suppose -4*m + 4*b - 8 = 0, -4*b = -3*m - 0*b - 10. Factor -10*w**2 - 12*w**3 - 20*w - 31*w**m - 23*w**2.
-4*w*(w + 5)*(3*w + 1)
Factor 0 - 16/3*t**3 - 1/6*t**4 - 61/6*t**2 - 5*t.
-t*(t + 1)**2*(t + 30)/6
Let d be 3 + 4/5 - (-8)/40. Let q(p) be the second derivative of 1/10*p**5 - 5/6*p**d + 7*p + 7/3*p**3 - 3*p**2 + 0. What is w in q(w) = 0?
1, 3
Let v(o) be the second derivative of o**6/90 - 7*o**5/15 + 37*o**4/6 - 182*o**3/9 + 169*o**2/6 + 10*o - 8. Factor v(p).
(p - 13)**2*(p - 1)**2/3
Let k = 566/21 + -2243/84. Factor 1/2*v + k*v**2 + 0.
v*(v + 2)/4
Suppose 5*o + 172 = 2*l - 5*l, -2*o - 274 = 5*l. Let a be ((-1)/(-3))/((-9)/l). What is p in -5*p**5 + 0*p**2 - a*p**3 + 0*p**2 + 3*p**5 + 4*p**4 = 0?
0, 1
Let t(m) = 7*m**5 - 8*m**4 + 3*m**3 + 9*m**2 - 15*m - 1. Let d(p) = 8*p**5