o(n).
-4*(n - 21)**3
Let p be (3/9)/((-4)/(-12)). Let w(l) = 9*l**3 + l**2 - 1. Let h be w(p). Find z, given that -4*z**4 + h*z - 12*z**2 - 20*z + 12*z**3 + 15*z = 0.
0, 1
Let m(i) = i + 3. Let n be m(-1). Let u(b) be the second derivative of 0 - 10/3*b**3 - 16/5*b**5 + b**n - 5*b + 16/3*b**4. Factor u(q).
-2*(2*q - 1)*(4*q - 1)**2
Let h(s) = -6*s**4 + 7*s**3 + 23*s**2 + 5. Let u = 2 + -4. Let k(c) = 3*c**4 - 4*c**3 - 11*c**2 - 2. Let j(f) = u*h(f) - 5*k(f). Suppose j(i) = 0. Calculate i.
-1, 0, 3
Let x(u) be the first derivative of u**6/420 + u**5/210 + 20*u**2 - 44. Let v(y) be the second derivative of x(y). Factor v(s).
2*s**2*(s + 1)/7
Factor -1/9*r**2 + 40/3*r - 400.
-(r - 60)**2/9
Let c(x) = x**3 + x + 1. Let m(d) = 2*d**4 + 2*d**3 + 3 - 49*d + 12*d**2 + 4 + 51*d + 5. Let a(r) = 10*c(r) - m(r). Factor a(j).
-2*(j - 1)**4
Let x(v) = 7*v**2 - 96*v + 573. Let k(j) = 148 + 377 - 58*j + 49 + 6*j**2 - 38*j. Let b(q) = -3*k(q) + 2*x(q). Solve b(i) = 0 for i.
12
Find b, given that 201/4*b**3 - 771/4*b**2 + 951/4*b - 189/2 - 3/4*b**4 = 0.
1, 2, 63
Suppose 0 + 5/4*g**4 - 17/4*g**2 - 9/4*g**3 - 3/4*g = 0. What is g?
-1, -1/5, 0, 3
Suppose 10*y = 11*y - 2. Suppose -4*m**y - 25*m + 7*m**2 - 6*m + 13*m + 15 = 0. What is m?
1, 5
Let s(b) be the second derivative of b**4/36 + 5*b**3/27 + 4*b**2/9 + 71*b. Factor s(c).
(c + 2)*(3*c + 4)/9
Let a(d) = d**3 + 11*d**2 - d - 11. Let f be (-140)/12 - 4/(-6). Let s be a(f). Find u such that -2*u + 4*u**2 - 2*u**2 + s*u**2 = 0.
0, 1
Let s = 193/2244 + -1/374. Let z(f) be the third derivative of 1/24*f**6 - s*f**4 + 0*f + 0 + 1/20*f**5 + 0*f**3 + 8*f**2. Suppose z(h) = 0. What is h?
-1, 0, 2/5
Let g be 24 - 15 - (4 - -1). Solve -6*v**3 + 33*v**g + 42*v - 83*v + 41*v = 0 for v.
0, 2/11
Let t(r) be the second derivative of -r**7/189 + 46*r**6/135 - 263*r**5/45 - 68*r**4/27 + 1495*r**3/27 + 1058*r**2/9 + 19*r + 1. Suppose t(i) = 0. Calculate i.
-1, 2, 23
Let d(v) = v + 8. Let o be d(-6). Let i be 4 - (-5)/((-5)/2). Factor 7*q**i - 4*q - 8*q**2 + 0*q + 3*q**o.
2*q*(q - 2)
Suppose -13*k = -5*k - 24. Factor 36 + 20*w - 4*w + k*w + 5*w + 4*w**2.
4*(w + 3)**2
Suppose 18*p = 17*p + 2*r + 15, -r + 10 = 3*p. Suppose -6/7*j - 2/7*j**p - 4/7 + 0*j**4 + 4/7*j**2 + 8/7*j**3 = 0. Calculate j.
-1, 1, 2
Let f(d) be the second derivative of -d**5/130 + d**4/39 + 4*d**3/39 - 4*d**2 + 7*d. Let n(r) be the first derivative of f(r). Let n(b) = 0. Calculate b.
-2/3, 2
Let k be ((-12)/(-20))/(4*(-5)/(-900)). Let i be 3/k - 6/(1080/(-52)). Factor 2/5*g**2 + 2/5*g - i*g**3 - 2/5.
-2*(g - 1)**2*(g + 1)/5
Let j(c) be the first derivative of c**6/2 + 21*c**5/5 + 12*c**4 + 12*c**3 - 210. Factor j(n).
3*n**2*(n + 2)**2*(n + 3)
Suppose -4*o = -170 - 838. Let a be (o/(-49))/9*14/(-12). What is l in -2/9*l**2 - 2/3*l - 2/9*l**4 + 4/9 + a*l**3 = 0?
-1, 1, 2
Let j = 778 + -772. Let s(g) be the second derivative of 0 + 7*g - 1/36*g**4 + 1/45*g**j + 0*g**3 + 1/120*g**5 + 0*g**2 - 1/84*g**7. Solve s(v) = 0 for v.
-2/3, 0, 1
Let r be 2/6*0*6/(-12). Factor 479 - 5*z + 7*z**2 - 481 + r*z.
(z - 1)*(7*z + 2)
Let x(g) be the third derivative of 0*g**3 - 19*g**2 + 0*g**4 + 0 + 0*g - 1/70*g**7 + 0*g**6 + 0*g**5. Factor x(d).
-3*d**4
Let f(s) be the second derivative of -s**7/126 + s**6/18 - s**5/6 + 5*s**4/18 - 5*s**3/18 + s**2/6 + 5*s + 28. Suppose f(y) = 0. Calculate y.
1
Determine h, given that -1/3*h**5 + 20/3*h**3 + h**4 - 16*h**2 - 64/3*h + 0 = 0.
-4, -1, 0, 4
Let h(c) = 9 - 23 + 127*c**2 - 122*c**2 - 15*c. Let p(i) = -20*i**2 + 60*i + 55. Let k(o) = 25*h(o) + 6*p(o). Factor k(l).
5*(l - 4)*(l + 1)
Find t, given that -202*t + 132 - 39/2*t**3 + 1/2*t**4 + 105*t**2 = 0.
2, 33
Let b(j) be the second derivative of j**6/30 - j**5/20 - 5*j**4/6 - 4*j**3/3 - 4*j + 15. Suppose b(x) = 0. What is x?
-2, -1, 0, 4
Suppose 5*r = 2*c + 11, 5*c = -0*c - r + 13. Determine h so that 44*h**3 - 41*h**3 + 2 - 4 - 3*h + 4*h**2 - c*h**4 = 0.
-1, -1/2, 1, 2
Suppose 42 + 42 = -3*a. Let o = -25 - a. Factor 1 - 3/2*l**o - 1/2*l**4 - 1/2*l**2 + 3/2*l.
-(l - 1)*(l + 1)**2*(l + 2)/2
Determine u so that -2/9*u**5 + 44/9*u**2 - 14/3*u**3 + 16/9*u**4 - 16/9*u + 0 = 0.
0, 1, 2, 4
Let q(n) = 11*n + 3. Let w be q(0). Let z(t) be the first derivative of -3/2*t**4 + 1/2*t**6 + w - 6/5*t**5 + 6*t + 8*t**3 - 21/2*t**2. Factor z(d).
3*(d - 1)**4*(d + 2)
Factor 16/3 - 1/6*r**4 - 16/3*r + 7/6*r**3 - r**2.
-(r - 4)**2*(r - 1)*(r + 2)/6
Factor -g**2 - 12/5 + 32/5*g.
-(g - 6)*(5*g - 2)/5
Suppose -k + 30 = 3*t, 60 = 3*k - 0*t - t. Factor k - 8*m + 0*m**2 - 6 + 2*m**2 - 9.
2*(m - 3)*(m - 1)
Let x = 3110/3 + -1036. Factor -x + 4/3*s - 2/3*s**2.
-2*(s - 1)**2/3
Let x = 175 + -86. Let n = x - 87. Find v, given that 1/2 - 3/2*v - 1/2*v**3 + 3/2*v**n = 0.
1
Let z(b) be the third derivative of -b**6/40 + 3*b**5/20 + 9*b**4/8 - 27*b**3/2 - 49*b**2 + 4. Factor z(l).
-3*(l - 3)**2*(l + 3)
Let o(d) = -2*d**3 - 31*d**2 + 15*d - 14. Let h be o(-16). Factor -32/3*r + 4 - 4/3*r**4 + 8*r**h + 0*r**3.
-4*(r - 1)**3*(r + 3)/3
Factor 118*m**4 - 1790*m**2 + 180*m**3 + 3060*m - 1445 + 110*m**4 - 233*m**4.
-5*(m - 17)**2*(m - 1)**2
Factor -8/3*b**2 + 22/9*b + 2/9*b**3 + 0.
2*b*(b - 11)*(b - 1)/9
Let k = 133/1720 + -1/430. Let o(y) be the first derivative of 1/16*y**6 + 0*y - 3/16*y**4 - k*y**5 + 0*y**3 + 0*y**2 - 3. What is f in o(f) = 0?
-1, 0, 2
Suppose v + 5*w = 22, 5*v + w + 2*w = 44. Solve -v*p - 12*p**3 - 12*p**4 - 16*p**3 - 2*p**5 + 2 - 6 - 32*p**2 - 11*p = 0.
-2, -1
Suppose -348*v = -351*v. Factor v*b - 2/9 + 2/9*b**2.
2*(b - 1)*(b + 1)/9
Suppose -11*p = 4*p. Let k(v) be the second derivative of -2/3*v**4 + p*v**5 + 2/3*v**3 + 4/15*v**6 - 2/21*v**7 + 0 + 0*v**2 + 7*v. What is a in k(a) = 0?
-1, 0, 1
Factor 22/3*b + 14/3*b**3 - 20*b**2 + 32.
2*(b - 3)*(b + 1)*(7*b - 16)/3
Let q(j) = -j**2 + 1. Let b(m) = m**2 + 2*m + 6. Let l(u) = 3*b(u) + 6*q(u). Factor l(g).
-3*(g - 4)*(g + 2)
Let m(a) be the third derivative of a**7/315 + a**6/360 - 7*a**5/180 - a**4/12 - 2*a**2 + 62. Factor m(w).
w*(w - 2)*(w + 1)*(2*w + 3)/3
Let c = 116 + -111. Let 56*l**2 + 23*l**5 - 8 - 36*l + 128*l**3 + 13*l**c + 64*l**5 - 240*l**4 = 0. What is l?
-2/5, -1/5, 1
Let z(i) be the first derivative of -i**5/25 + 7*i**4/15 + 2*i**3/3 + 4*i**2 + 25. Let c(f) be the second derivative of z(f). Factor c(m).
-4*(m - 5)*(3*m + 1)/5
Let f = 1894 + -1894. Let c(s) be the second derivative of 0*s**4 + f*s**2 + 1/60*s**6 + 0 + 2*s + 1/40*s**5 + 0*s**3. Find g such that c(g) = 0.
-1, 0
Let r(x) be the second derivative of 1/9*x**4 - 1/3*x**3 + 0 + 0*x**2 - 1/90*x**5 + 12*x. Factor r(f).
-2*f*(f - 3)**2/9
Let u be ((-18)/(-3))/(14/(154/33)). Factor 6*k + 3/2*k**u - 3/2*k**3 - 6.
-3*(k - 2)*(k - 1)*(k + 2)/2
Let y(u) be the first derivative of 3*u**7/70 + 7*u**6/50 + 4*u**5/25 + u**4/15 - 16*u - 10. Let c(q) be the first derivative of y(q). Factor c(n).
n**2*(n + 1)*(3*n + 2)**2/5
Let s(i) be the first derivative of 0*i**2 + 0*i**4 + 0*i - 10 - 5/3*i**3 + 1/40*i**5 + 1/120*i**6. Let f(w) be the third derivative of s(w). Factor f(h).
3*h*(h + 1)
Factor 4*w**3 - 186624 - 432*w**2 + 2072*w + 5391*w + 8089*w.
4*(w - 36)**3
Let z(j) be the third derivative of -j**5/240 - 11*j**4/96 - 5*j**3/12 - 2*j**2 + 243*j. What is n in z(n) = 0?
-10, -1
Let o(b) = -b**3 + 2*b**2 + b + 1. Let l(y) = 4*y**4 - 45*y**3 + 134*y**2 + 45*y - 147. Let n(q) = l(q) + 3*o(q). Factor n(j).
4*(j - 6)**2*(j - 1)*(j + 1)
Let c(a) be the first derivative of -a**5/150 - a**4/20 - 2*a**3/15 + 6*a**2 - 11. Let v(z) be the second derivative of c(z). What is x in v(x) = 0?
-2, -1
Let i(u) be the second derivative of 14*u + 0*u**2 + 0 + u**4 - 3/20*u**5 - 3/2*u**3. Factor i(w).
-3*w*(w - 3)*(w - 1)
Let g(u) be the second derivative of -u**5/60 + u**4/24 + u**3 + 47*u**2/2 - 2*u - 13. Let x(j) be the first derivative of g(j). Factor x(y).
-(y - 3)*(y + 2)
Let x(l) = l**2 + 15*l - 31. Let s be x(-17). Factor -37*r**s + 10*r**3 + 14*r**3 + 21*r - 9 + 16*r**3 - 15*r**2.
3*(r - 3)*(r - 1)**2
Let n(t) be the first derivative of 2*t**3/3 + 33*t**2 + 232*t - 688. What is w in n(w) = 0?
-29, -4
Let m(y) = -y**5 - y**3 - 2*y**2 + y + 1. Let k(q) = -11*q**5 + 12*q**4 - 15*q**3 - 38*q**2 + 9*q + 9. Let t(i) = -2*k(i) + 18*m(i). Factor t(r).
4*r**2*(r - 5)*(r - 2)*(r + 1)
Let u(x) be the third derivative 