 + 1. Let f be a(6). Let l(u) = u**3 + 2*u - 3. Let m(h) = -2*h**3 - h + 4 + 0*h**3 + 1 - 2*h. Let t(c) = f*l(c) - 3*m(c). Factor t(i).
i*(i - 1)*(i + 1)
Factor -2/9*k**3 + 0*k + 0 - 2*k**2.
-2*k**2*(k + 9)/9
Suppose 100 + 96 + 3*n**2 + 97 - 285*n - 13 + 2*n**2 = 0. What is n?
1, 56
Let z = -267 - -272. Let i(p) be the third derivative of -1/70*p**7 + 0*p**3 + 1/10*p**z - 1/40*p**6 + 8*p**2 + 0*p**4 + 0*p + 0. Solve i(q) = 0.
-2, 0, 1
Let m(x) be the first derivative of -x**8/8400 - x**7/1400 - x**6/900 - x**3 - 1. Let t(z) be the third derivative of m(z). Factor t(n).
-n**2*(n + 1)*(n + 2)/5
Let c be (0/(-5))/(-1 - -4). Suppose c = -19*s + 9*s. Solve 0*k + 0*k**3 - 1/4*k**5 + 0*k**2 + s - 1/2*k**4 = 0.
-2, 0
Let 5/3*a**5 + 0 + 28/3*a**4 + 16*a**3 - 16/3*a + 16/3*a**2 = 0. Calculate a.
-2, 0, 2/5
Let y be 655/(-1965)*36/(-7). Factor 16/7*x**2 + y*x**3 - 16/7*x + 0.
4*x*(x + 2)*(3*x - 2)/7
Let b(g) be the first derivative of -g**6/2 + 3*g**5 - 9*g**4/2 - 2*g**3 + 21*g**2/2 - 9*g - 265. Factor b(l).
-3*(l - 3)*(l - 1)**3*(l + 1)
Let p(i) be the second derivative of i**4/60 + 17*i**3/30 - 19*i**2/5 - 115*i. Factor p(k).
(k - 2)*(k + 19)/5
Let b(g) be the third derivative of -g**8/30240 + g**7/1260 - g**5/4 + 19*g**2. Let h(u) be the third derivative of b(u). Factor h(o).
-2*o*(o - 6)/3
Factor -45/2 - 87/2*p - 39/2*p**2 + 3/2*p**3.
3*(p - 15)*(p + 1)**2/2
Let h(q) = 7*q**4 + 3*q**3 + 11*q**2 - 3*q - 9. Let j(y) = 3*y**4 + 2*y**3 + 5*y**2 - 2*y - 4. Let n(r) = 4*h(r) - 9*j(r). Suppose n(f) = 0. Calculate f.
-1, 0, 1, 6
Let u(b) be the first derivative of b**4/4 - 34*b**3/3 - b**2/2 + 34*b + 314. Factor u(i).
(i - 34)*(i - 1)*(i + 1)
Let q(t) be the second derivative of t + 0 + 0*t**2 + 1/9*t**3 + 0*t**4 - 1/30*t**5. Solve q(r) = 0.
-1, 0, 1
Let i = -2016 + 2018. Let c(y) be the third derivative of 1/8*y**3 - 3/32*y**4 + 3/80*y**5 + 0*y + 0 + 6*y**i - 1/160*y**6. Factor c(t).
-3*(t - 1)**3/4
Let y(m) be the first derivative of 0*m + 0*m**2 - 1/20*m**5 + 1/6*m**3 - 1/16*m**4 - 21. Find i, given that y(i) = 0.
-2, 0, 1
Let p(a) = a**2 + 3*a - 10. Let h be p(3). Factor 0*j**2 + j**2 - h*j**4 + 4*j + 7*j**2 - 4*j**5 + 0*j**4.
-4*j*(j - 1)*(j + 1)**3
Suppose -61*y + 5*p - 42 = -63*y, -24 = -2*y - 2*p. Factor 0 - 3*f**4 - y*f**2 + 2*f + 1/2*f**5 + 13/2*f**3.
f*(f - 2)**2*(f - 1)**2/2
Let p be 25*3/5*(-2)/(-20). Factor 1/2*j**3 + 0 + p*j**2 + j.
j*(j + 1)*(j + 2)/2
Let c(h) be the third derivative of h**8/1680 - h**7/350 + h**6/200 - h**5/300 - 2*h**2 - 64. Factor c(k).
k**2*(k - 1)**3/5
Let h(f) = 4*f**2 - 6*f + 11. Let w(k) = -k**2 - 1. Let n(o) = -h(o) - 3*w(o). Let r be n(4). Factor r*j**3 + 1 - 5 - 8*j + 8*j**3 + 4*j**4.
4*(j - 1)*(j + 1)**3
Let t be -3 + 5748/2040 + 3/10. Factor -2/17*f**2 - t*f + 4/17.
-2*(f - 1)*(f + 2)/17
Let b = 1/2625 + 33247/7875. Let u(a) be the first derivative of -4 - 7/6*a**4 - 8/3*a**2 + b*a**3 - 8/3*a. Factor u(t).
-2*(t - 2)*(t - 1)*(7*t + 2)/3
Let w(z) = -z**3 + 5*z**2 + 6*z + 7. Let o be w(6). Let 4 + 1 - 2*h**2 - 1 + h**5 - o*h**3 + 12*h + 4 = 0. What is h?
-2, -1, 2
Let j(b) be the third derivative of -b**9/60480 + b**8/10080 - b**7/5040 - 19*b**5/60 + 10*b**2. Let u(g) be the third derivative of j(g). Factor u(a).
-a*(a - 1)**2
Let g(b) be the third derivative of -1/30*b**4 + 1/600*b**6 + 0*b + 1/1050*b**7 + 0*b**3 + 0 - 1/75*b**5 - 36*b**2. Factor g(z).
z*(z - 2)*(z + 1)*(z + 2)/5
Let y(p) = -p**3 + 14*p**2 + 17*p - 30. Let c be y(15). Let f be (0 - -2)*(-5 + c)/(-5). Factor 0*j + 0 + 2/9*j**f.
2*j**2/9
Let b(k) be the first derivative of 3*k**5/5 + 9*k**4 + 45*k**3 + 75*k**2 - 130. Factor b(t).
3*t*(t + 2)*(t + 5)**2
Suppose -v - v + 8 = 0. Determine a, given that -a - 5*a**5 + a**3 + 4*a**2 - 2 + 4*a**5 + a**3 - 2*a**v = 0.
-2, -1, 1
Let c(z) be the third derivative of z**5/60 + z**4/24 + z**3/6 + 9*z**2. Let y(j) = 8*j**2 + 5*j + 5. Let x(f) = 5*c(f) - y(f). Let x(r) = 0. Calculate r.
0
Let n(t) = t**5 - t**3 - t + 1. Let m(q) = 8*q**3 - 13*q**2 - 4*q - 4*q**4 + 16*q**4 + q**2 - 4. Let f(i) = -m(i) - 4*n(i). Suppose f(c) = 0. Calculate c.
-2, -1, 0, 1
Let v(u) = -u**2. Let x(a) = -14*a**2 - 108 + 38*a - 4*a**3 - 18*a**2 - 143*a - 3*a. Let p(z) = -4*v(z) - x(z). Factor p(b).
4*(b + 3)**3
Let t(b) be the first derivative of 8649*b**5 - 2015*b**4/2 - 1060*b**3/3 - 20*b**2 + 279. Determine w so that t(w) = 0.
-2/31, 0, 2/9
Let v(b) be the second derivative of 9*b**5/80 + 5*b**4/48 - b**3/6 + 3*b + 58. Factor v(z).
z*(z + 1)*(9*z - 4)/4
Let m(f) be the first derivative of 3/4*f**2 - 1/4*f**3 + 3/20*f**5 + 2 + 0*f + 1/8*f**6 - 9/16*f**4. What is g in m(g) = 0?
-2, -1, 0, 1
Let d(x) be the second derivative of x**4/4 + x**3/2 - 3*x**2 + 2*x + 18. Factor d(w).
3*(w - 1)*(w + 2)
Let a(v) be the first derivative of -v**6/9 + 18*v**5/5 - 65*v**4/2 + 338*v**3/9 - 18. Factor a(k).
-2*k**2*(k - 13)**2*(k - 1)/3
Let k(v) = 4*v**2 - 152*v + 158. Let c(d) = 12*d**2 - 456*d + 476. Let i(x) = -5*c(x) + 16*k(x). Solve i(u) = 0 for u.
1, 37
Let j(o) be the first derivative of 5*o**3/3 + 290*o**2 - 585*o - 86. Factor j(b).
5*(b - 1)*(b + 117)
Let k(r) be the second derivative of 0*r**2 - 2*r - 1/6*r**3 - 1/12*r**4 + 0. Factor k(l).
-l*(l + 1)
Let g(s) be the first derivative of -s**3 + 42*s**2 - 588*s - 73. Factor g(f).
-3*(f - 14)**2
Let s(h) = h**3 - 16*h**2 + 60*h - 50. Let j be s(11). Let f be 0*((-3)/6 - -1). Determine m so that 16/5*m**4 - 6/5*m**j - 14/5*m**3 + 4/5*m**2 + 0*m + f = 0.
0, 2/3, 1
Let h(n) be the second derivative of n**7/28 + n**6/4 - 9*n**5/20 - 11*n**4/4 + 37*n**3/4 - 45*n**2/4 - 517*n. Factor h(v).
3*(v - 1)**3*(v + 3)*(v + 5)/2
Let x be 6 - (19/(-6) - -9). Factor 1/2 + 2/3*k + x*k**2.
(k + 1)*(k + 3)/6
Let f(o) be the second derivative of 0 + 23/4*o**5 + 10*o**3 + 50/3*o**4 - 5/6*o**6 + 0*o**2 - 38*o. Factor f(s).
-5*s*(s - 6)*(s + 1)*(5*s + 2)
Let j(i) be the first derivative of -i**4/20 + i**3/5 - 3*i**2/10 + i/5 + 4. Determine g, given that j(g) = 0.
1
Let g(j) be the third derivative of j**7/13860 - j**6/990 + j**5/220 + 13*j**4/12 + 27*j**2. Let c(m) be the second derivative of g(m). Solve c(w) = 0.
1, 3
Suppose g = 3*s - 11, 3*s - 6*s + 7 = -2*g. Let x = -11 + 15. Factor -g*q**4 + 0*q**2 + 2*q**2 + 2*q**x.
-2*q**2*(q - 1)*(q + 1)
Suppose 223 = -7*s + 244. Let j(v) be the second derivative of 0 + 1/28*v**4 - 1/7*v**s - v + 3/14*v**2. Factor j(g).
3*(g - 1)**2/7
Let n be 1 + 1/(-2)*-4. Suppose -2*s**3 + 15*s**4 + s**3 - 8*s + 12*s**5 + 13*s**4 - 28*s**2 - n*s**3 = 0. Calculate s.
-2, -1, -1/3, 0, 1
Let u(g) be the third derivative of 0 + 0*g - 7/360*g**5 + 8*g**2 - 1/18*g**4 + 4/9*g**3 - 1/720*g**6. Factor u(x).
-(x - 1)*(x + 4)**2/6
Let l = 3 + -1. Let n be (-3926)/(-2002) + 2/11. Factor 9/7*b**l + 6/7 + n*b - 3/7*b**3 - 3/7*b**4.
-3*(b - 2)*(b + 1)**3/7
Let v(m) = -19*m**4 + 100*m**3 - 30*m**2 - 131*m + 51. Let k(c) = -4*c**4 + 20*c**3 - 6*c**2 - 26*c + 10. Let i(p) = -11*k(p) + 2*v(p). Factor i(g).
2*(g - 2)**2*(g + 1)*(3*g - 1)
Let v(i) be the second derivative of 0*i**3 - 1/30*i**4 + 0*i**2 + 1/210*i**7 + 0 + 4*i + 1/75*i**6 - 1/100*i**5. Suppose v(p) = 0. What is p?
-2, -1, 0, 1
Let x(b) = -b**3 - 10*b**2 - 17*b - 6. Let v be x(-8). Find o such that 2*o**2 + o**2 - 25 + 121*o + v*o**2 - 141*o = 0.
-1, 5
Let q be ((-4)/(-8))/((-1)/(-10)). Solve -2*o - 2*o**4 + o**q + 4*o**2 + o**5 - 2*o**4 = 0.
-1, 0, 1
Solve -3*w + 51*w + 2489 - 2265 - 2*w**2 = 0 for w.
-4, 28
Solve -738 + 3071 + 27*c**2 + 180*c + 1031 + 686 - 25*c**2 = 0 for c.
-45
Suppose l + l = 15*l. Let r(o) be the first derivative of l*o + 3/8*o**2 + 9 - 1/4*o**3. Let r(b) = 0. Calculate b.
0, 1
Factor 0 - 4/5*r**2 - 2/5*r**4 + 6/5*r**3 + 0*r.
-2*r**2*(r - 2)*(r - 1)/5
Let u(k) = 8*k**2 - 31*k - 52. Let n(c) = -6*c**2 + 30*c + 56. Let h(d) = 6*n(d) + 4*u(d). Factor h(t).
-4*(t - 16)*(t + 2)
Let r(w) be the first derivative of -w**6 + 21*w**5/5 - 10*w**3 + 3*w**2 + 9*w + 143. Solve r(s) = 0.
-1, -1/2, 1, 3
Let o(u) = -2*u**3 + 5*u**2 + 31*u + 19. Let t(f) = -f**3 + 2*f**2 + 15*f + 10. Let l(d) = -2*o(d) + 5*t(d). Factor l(i).
-(i - 4)*(i + 1)*(i + 3)
Let k = 20 + -18. Factor -13*p**2 + k - 15*p + 3 - 7.
-(p + 1)*(13*p + 2)
Let o = -6 + 13. Suppose o = 2*p - 35. Factor -27 - 50*c**2 - 72*c + 5*c**2 - 3*c**4 - p*c**2 - 24*c**3.
-3*(c + 1)**