(b) = 0. Calculate b.
-1, -3/5, 0, 1
Let a(l) = l**3 - 43*l**2 - 77*l - 29. Let c(p) = -3*p**3 + 87*p**2 + 156*p + 57. Let u(i) = 9*a(i) + 4*c(i). Factor u(t).
-3*(t + 1)**2*(t + 11)
Let n(q) = 5*q**2 - 33*q + 32. Let o(z) = -4*z**2 + 34*z - 33. Let u(j) = -3*n(j) - 4*o(j). Factor u(v).
(v - 36)*(v - 1)
Let d(j) be the third derivative of 0 + 47*j**2 + 63/8*j**4 + 79/120*j**6 - 9*j**3 + 0*j + 3/70*j**7 + 15/4*j**5. Factor d(q).
(q + 3)**3*(9*q - 2)
Solve -1103*m**2 + 31*m**4 - 333*m**5 + 1099*m**2 + 102*m**5 + 24*m**3 = 0.
-1/3, 0, 2/11, 2/7
Let o be 11 + (18927/(-1701) - (-4)/7). Factor -4/9*b**2 - o*b**3 + 2/9*b + 2/9*b**5 + 2/9 + 2/9*b**4.
2*(b - 1)**2*(b + 1)**3/9
Let -1/4*z + 3/4*z**2 + 0 + 1/4*z**4 - 3/4*z**3 = 0. Calculate z.
0, 1
Let q(u) be the second derivative of -u**6/60 - 3*u**5/10 - 7*u**4/8 - 5*u**3/6 + 4*u + 4. Factor q(p).
-p*(p + 1)**2*(p + 10)/2
Let k(t) be the third derivative of t**8/2016 - t**7/180 + t**6/48 - 13*t**5/360 + t**4/36 - 2*t**2 + 29. Factor k(y).
y*(y - 4)*(y - 1)**3/6
Suppose -4*i = -1 - 11. Suppose -i*r + 8 + 1 = 0. Let 8*m - 7 + 7*m + 3*m**r + 1 - 12*m**2 = 0. Calculate m.
1, 2
Let b = 52397/627 + -49/209. Let j = 84 - b. Factor j*k + 1/3 - 2/3*k**3 + 0*k**2 - 1/3*k**4.
-(k - 1)*(k + 1)**3/3
Let g(o) = -8*o**3 + 8*o**2 + 8*o - 48. Let y(d) = -19*d**3 + 15*d**2 + 18*d - 96. Let m(u) = -5*g(u) + 2*y(u). Factor m(x).
2*(x - 4)*(x - 3)*(x + 2)
What is h in -25/4*h**3 - 35/4*h**2 - 1/4 - 11/4*h = 0?
-1, -1/5
Let s(x) be the first derivative of x**3 + 18*x**2 + 96*x + 260. Determine q so that s(q) = 0.
-8, -4
Let m(i) be the first derivative of -i**5/70 + i**4/21 + 6*i - 23. Let w(f) be the first derivative of m(f). Determine c so that w(c) = 0.
0, 2
Factor -x**4 - 373489*x - 496*x**3 - x**4 - 21719*x**2 - 201921*x - 29552672 - 1331214*x - 24409*x**2.
-2*(x + 62)**4
Let y be 1 + ((-12)/(-16) - 270/168). Factor 3/7*l**3 - 1/7 + y*l**2 - 3/7*l.
(l - 1)*(l + 1)*(3*l + 1)/7
Let c(u) be the third derivative of -u**6/960 + 3*u**5/80 - 5*u**4/16 - 25*u**3/6 - 111*u**2. Suppose c(g) = 0. Calculate g.
-2, 10
Let k(u) be the second derivative of -u**9/2268 - u**8/140 - u**7/42 - 7*u**6/270 - 4*u**3 - 28*u. Let r(z) be the second derivative of k(z). Factor r(c).
-4*c**2*(c + 1)**2*(c + 7)/3
Suppose -2*s - 20 = -3*t + 3*s, 5 = -5*s. Let z(y) = y**3 - 6*y**2 + 8*y - 11. Let j be z(t). Solve 6*g + j - 4*g + 2*g - 2 + 2*g**2 = 0.
-1
Let p = -567/8 + 1733/24. Factor -8/3*c**3 - 8/3*c**2 + 4/3*c**4 + 4/3*c**5 + 4/3*c + p.
4*(c - 1)**2*(c + 1)**3/3
Suppose u = 14 - 84. Let o be 1/((-2)/(-5))*(-7)/u. Let -o*d + 0 + 1/4*d**2 = 0. Calculate d.
0, 1
Let f = -2929/5 + 20548/35. Let t = -46/11 - -388/77. Let t*w - 3/7*w**2 + f = 0. What is w?
-1, 3
Let m(z) be the first derivative of z**5/10 - z**3 + 2*z**2 - 16*z + 30. Let s(p) be the first derivative of m(p). Suppose s(o) = 0. What is o?
-2, 1
Suppose 2*b + 13*q = 9*q - 8, 2*b + 2*q + 4 = 0. Factor -6/5*j**3 - 1/5*j**5 + 4/5*j**4 + 4/5*j**2 + b - 1/5*j.
-j*(j - 1)**4/5
Let j be (-9 - -2) + (-1352)/(-192). Let y(z) be the third derivative of 0*z**3 + 0*z + 1/60*z**5 + 0 + j*z**4 - 3*z**2. Factor y(x).
x*(x + 1)
Suppose 16 = 16*u - 12*u. Let x(s) be the third derivative of 1/30*s**5 + 0*s + 1/4*s**u + 0 + 9*s**2 - 4/3*s**3. Determine p, given that x(p) = 0.
-4, 1
Suppose -6561/2*h**5 + 1144*h - 23328*h**4 - 64 + 22356*h**3 - 7632*h**2 = 0. What is h?
-8, 2/9
Let f(p) be the first derivative of -3/4*p**3 + 11 + 0*p + 3/20*p**5 - 3/4*p**2 + 0*p**4. Factor f(w).
3*w*(w - 2)*(w + 1)**2/4
Let b(i) be the third derivative of i**8/84 + 6*i**7/35 - 13*i**6/30 - 5*i**5/3 + 8*i**4 - 40*i**3/3 - 342*i**2. Factor b(a).
4*(a - 1)**3*(a + 2)*(a + 10)
Let z(v) be the third derivative of v**6/30 - 7*v**5/3 + 569*v**2. Solve z(d) = 0 for d.
0, 35
Let l be (-75)/125 - (-96)/10. Let y be l*-5*2/(-20). Find r, given that 7/2*r - 1 + y*r**2 = 0.
-1, 2/9
Let a(b) be the second derivative of 0*b**2 + 0*b**3 + 1/225*b**6 - 1/315*b**7 - 2/45*b**4 + 14*b + 0 + 2/75*b**5. Determine n so that a(n) = 0.
-2, 0, 1, 2
Let m(c) be the first derivative of -11 - 1/16*c**4 - 7/8*c**2 + 3/4*c + 5/12*c**3. Solve m(s) = 0.
1, 3
Factor 3/5*i**2 + 0 + 42/5*i.
3*i*(i + 14)/5
Suppose 0 = 3*b + 5 - 23. Factor -9*y**3 + 0 + 3*y**5 + 0 - 2*y**4 - y**4 + b*y + 3*y**2.
3*y*(y - 2)*(y - 1)*(y + 1)**2
Let h(x) = 5*x**3 - 9*x**2 - 9*x - 7. Let r(b) = 4*b**3 - 8*b**2 - 8*b - 6. Let i(c) = -5*h(c) + 6*r(c). Factor i(v).
-(v + 1)**3
Let v(a) be the third derivative of -1/84*a**8 + 0 + 0*a**3 - 21*a**2 + 0*a - 4/105*a**7 + 2/15*a**5 + 0*a**6 + 1/6*a**4. Factor v(x).
-4*x*(x - 1)*(x + 1)**3
Let r(p) be the first derivative of p**4/84 - p**3/14 - 2*p**2/7 - 23*p - 14. Let h(y) be the first derivative of r(y). Factor h(m).
(m - 4)*(m + 1)/7
Let r = 1/7057 + 21169/14114. Factor -r*m + 0 + 1/2*m**2.
m*(m - 3)/2
Let b(n) be the first derivative of 1/14*n**4 + 0*n - 11 + 0*n**3 - 1/7*n**2. Suppose b(a) = 0. What is a?
-1, 0, 1
Let j(z) be the third derivative of 9*z**6/40 + 13*z**5/5 + 69*z**4/8 - 9*z**3 + 728*z**2. Factor j(f).
3*(f + 3)**2*(9*f - 2)
Let f(j) = -3*j**2 + 28*j - 159. Let y(i) = -13*i**2 + 113*i - 631. Let b(o) = 9*f(o) - 2*y(o). Factor b(q).
-(q - 13)**2
Let l(a) be the third derivative of a**5/140 - 23*a**4/28 + 8*a**2 + 1. Factor l(x).
3*x*(x - 46)/7
Let f(g) be the third derivative of g**7/42 - g**6/2 + 37*g**5/12 - 35*g**4/4 + 40*g**3/3 - 2*g**2 - 56*g. Factor f(i).
5*(i - 8)*(i - 2)*(i - 1)**2
Let k be -20*((-19)/4 + 3). Suppose -3*i + 6 = 4*a - k, -2*i - 34 = -5*a. Factor 6 + 3*n**2 - 9*n - a + 2.
3*n*(n - 3)
Let o(g) = 3*g + 2. Let t be o(6). Solve -53*h**3 - h**5 + 3*h**3 - 36*h**3 - 325*h - t*h**3 + 290*h**2 + 17*h**4 + 125 = 0 for h.
1, 5
Suppose -5 = -58*h + 57*h. Let o be 0 + h - 0 - 2. Factor -2/3*u**o + 0 - 4/3*u**2 - 2/3*u.
-2*u*(u + 1)**2/3
Let k = 111 + -108. Let j(a) be the third derivative of 0*a + 9/20*a**6 + 1/10*a**7 + a**5 + 0 - a**2 + 0*a**k + a**4 + 1/112*a**8. Factor j(t).
3*t*(t + 1)*(t + 2)**3
Let 8*z + 2*z**3 + 8*z**2 - 20*z**2 + 10*z = 0. What is z?
0, 3
Let q be ((-9)/2)/((-19)/38). Let x be (3/q)/(1/(-27)*-3). Factor x*u + 9/4 + 3/4*u**2.
3*(u + 1)*(u + 3)/4
Factor 4/7*m**2 - 10/7*m**3 - 48/7 + 40/7*m + 2/7*m**4.
2*(m - 3)*(m - 2)**2*(m + 2)/7
Suppose t - 3 = 1. Factor -10*f**2 - t*f - f + 67*f**3 - 72*f**3.
-5*f*(f + 1)**2
Let h(b) = 32*b - 253. Let x be h(8). Determine f so that 3/7*f**x + 3/7*f - 6/7*f**2 + 0 = 0.
0, 1
Factor -19 + 3*w**2 + 8 - 15*w + 23.
3*(w - 4)*(w - 1)
Let d(q) be the first derivative of q**5/4 - 5*q**4/3 + 25*q**3/6 - 5*q**2 + 32*q - 34. Let u(i) be the first derivative of d(i). Factor u(p).
5*(p - 2)*(p - 1)**2
Let l(w) be the third derivative of 0*w**3 + 0*w**5 - 1/100*w**6 + 0*w**4 + 0 - 19*w**2 + 0*w + 1/350*w**7. Find q such that l(q) = 0.
0, 2
Let n(m) be the third derivative of 0 + 0*m**3 - 1/135*m**5 + 2/27*m**4 - 20*m**2 + 0*m. Solve n(z) = 0.
0, 4
Suppose 13 = n - 6. Suppose -9 = -4*d + n. Suppose -3*s**3 - d*s**3 + 5*s**5 + 6*s**3 + 10*s**2 - s**3 - 10*s**4 = 0. What is s?
-1, 0, 1, 2
Let r(b) be the first derivative of 3*b**4 + 304*b**3/3 + 50*b**2 - 13. Suppose r(a) = 0. What is a?
-25, -1/3, 0
Let n(c) be the third derivative of -7*c**6/40 + 33*c**5/20 + 13*c**4/2 + 6*c**3 - 169*c**2. Factor n(y).
-3*(y - 6)*(y + 1)*(7*y + 2)
Let f(b) be the third derivative of 75*b**8/112 - 41*b**7/14 + 4*b**6/3 + 26*b**5/3 - 50*b**4/3 + 40*b**3/3 + 30*b**2 + 3*b. Suppose f(m) = 0. What is m?
-1, 2/5, 2/3, 2
Let u(o) = -5*o**4 + 38*o**2 - 36*o. Let z(a) = 22*a**4 - 3*a**3 - 153*a**2 + 142*a. Let x(r) = -18*u(r) - 4*z(r). Suppose x(i) = 0. Calculate i.
-10, 0, 2
Let m(r) = 3*r**3 - 22*r**2. Let z(b) = 5*b**3 - 45*b**2. Let t(a) = -5*m(a) + 2*z(a). Let t(x) = 0. Calculate x.
0, 4
Solve 2/7*h**3 + 2/7*h**4 + 0*h - 4/7*h**2 + 0 = 0.
-2, 0, 1
Let v(a) = -a + 11. Let n be v(-7). Suppose 2*q = 5*b + 14 - 0, -2*q + 3*b + n = 0. Factor 8 + 7*p - p**4 - 27*p - p**4 + 4*p**3 - 2*p**4 + q*p**2.
-4*(p - 1)**3*(p + 2)
Let h(i) be the first derivative of 0*i + 3 - 1/10*i**2 + 1/15*i**3. Factor h(u).
u*(u - 1)/5
Let k(n) = -8*n**2 - 14*n - 44. Let q(u) = 6*u - 5. Let g be q(2). Let m(y) = 9*y**2 + 13*y + 43. Let z(l) = g*k(l) + 6*m(l). Suppose z(h) = 0. What is h?
-5
Let h(o) be the sec