**2*(n + 2)/3
Let b(n) = n + 3. Let z be b(-5). Let c = 9 + z. Suppose -3*s**2 - 4*s - 2*s**5 + c*s + s**3 + 3*s**5 - 5*s + 3*s**4 = 0. What is s?
-2, -1, 0, 1
Let z(w) be the first derivative of 1/10*w**6 + 15/4*w**4 + 45 + 0*w + 0*w**3 + 6/5*w**5 + 0*w**2. Determine b so that z(b) = 0.
-5, 0
Let r(i) be the first derivative of 9*i**5/5 - 21*i**4/4 + 5*i**3 - 3*i**2/2 - 62. Let r(t) = 0. Calculate t.
0, 1/3, 1
Let p(o) = o**2 - 6*o - 5. Let u(c) = 2*c**2 - 7*c - 6. Suppose -x + 7 = 3*m, 5 = m + 3*x - 0. Let z(s) = m*u(s) - 3*p(s). Find r such that z(r) = 0.
-3, -1
Let v(u) be the first derivative of 2*u**5/5 + 3*u**4 + 16*u**3/3 - 6*u**2 - 18*u + 33. Suppose v(m) = 0. What is m?
-3, -1, 1
Let f(r) = 3*r**4 - 41*r**3 - 157*r**2 + 5*r - 5. Let j(d) = -d**4 + d**3 - d**2 - d + 1. Let q(h) = -f(h) - 5*j(h). Determine a so that q(a) = 0.
-9, 0
Let f be (-3)/(-1) + (6 - 1272/28). Let l = f - -37. What is g in -6/7*g**2 + 2/7*g**4 + 0 - l*g + 0*g**3 = 0?
-1, 0, 2
Suppose 12*i = 2 + 22. Let s(l) be the first derivative of -4*l**3 - i*l - 2*l**4 - 2/5*l**5 + 2 - 4*l**2. Factor s(b).
-2*(b + 1)**4
Factor -9520/3*y + 9800/3 + 1/6*y**4 + 724*y**2 + 68/3*y**3.
(y - 2)**2*(y + 70)**2/6
Let u = -572 + 579. Let a(k) be the third derivative of 0*k + k**2 + 8/9*k**3 + 1/63*k**u + 5/9*k**5 - 3/20*k**6 - k**4 + 0. Find b, given that a(b) = 0.
2/5, 1, 2
Factor 0 + 2*q**4 + 15*q**2 + 0 - 9*q**2 - 6*q**3 - 2*q.
2*q*(q - 1)**3
Factor -5 + 1/6*r**2 + 1/6*r.
(r - 5)*(r + 6)/6
Determine o so that 60*o**4 - 5 + 19 - 24 - 20*o**3 + 45*o - 50*o**2 - 25*o**5 = 0.
-1, 2/5, 1
Suppose 9/5*f**2 - 12/5 + 6/5*f**3 - 12/5*f - 3/5*f**4 = 0. Calculate f.
-1, 2
Factor 115248/5 + 3/5*z**2 + 1176/5*z.
3*(z + 196)**2/5
Let n(u) be the second derivative of -1/60*u**5 + 7*u + 0 - 2*u**2 + 1/6*u**3 + 0*u**4. Let o(x) be the first derivative of n(x). Factor o(z).
-(z - 1)*(z + 1)
Let q(d) be the first derivative of 4/5*d**3 - 4/25*d**5 + 8/5*d**2 - 16/5*d + 4 - 2/5*d**4. Find s such that q(s) = 0.
-2, 1
Let b(l) be the second derivative of l**6/144 - l**5/72 - 5*l**4/144 + 5*l**3/36 + 8*l**2 + 10*l. Let q(z) be the first derivative of b(z). Factor q(k).
5*(k - 1)**2*(k + 1)/6
Let x be (6 - 0)*(-1 - 6/(-4)). Let s be (80/x)/5 + -4. Solve -2/9*f - 4/9 + s*f**2 - 2/9*f**3 - 4/9*f**4 = 0.
-2, -1/2, 1
Let m(d) be the first derivative of d**5/45 + d**4/12 - 4*d**3/27 + 76. Factor m(f).
f**2*(f - 1)*(f + 4)/9
Let x(i) be the third derivative of -i**5/60 + i**4/6 + 16*i**2 - 9. What is q in x(q) = 0?
0, 4
Factor -3/2*v**2 + 0 + 33/2*v.
-3*v*(v - 11)/2
Let g be 3/12 + 75*(-4)/(-16). Factor -17*l + 3*l**2 + 2*l**3 - l**3 + g*l.
l*(l + 1)*(l + 2)
Determine y, given that 6*y + 9/2*y**4 - 5*y**3 + 2 + 2*y**5 - 19/2*y**2 = 0.
-2, -1/4, 1
Suppose -4*b + 2*t = -24, 3*b - 3*t + 5*t - 18 = 0. Let a(u) = -u**2 + 5*u + 6. Let p be a(b). What is v in 3/4*v**2 + p - 1/4*v + 1/4*v**4 - 3/4*v**3 = 0?
0, 1
Let h = 146 - 241. Let o be 6/(-10) + 19/(h/(-18)). Factor 1/3*y**o + 0*y**2 + 0*y + 0.
y**3/3
Let j(f) be the first derivative of 4*f**5/5 + 2*f**4 - 32*f**3/3 + 43. Factor j(x).
4*x**2*(x - 2)*(x + 4)
Let w(c) be the first derivative of -c**3/3 + 202*c**2 - 40804*c - 192. Solve w(g) = 0 for g.
202
Let c(z) be the first derivative of 4*z**5/135 + 5*z**4/36 - 2*z**3/27 - 33*z**2/2 + 2. Let d(s) be the second derivative of c(s). Find w, given that d(w) = 0.
-2, 1/8
Let x be (10 + -5)*(-4)/5. Let v(p) = -p**3 - 4*p**2 - 5*p - 6. Let z(f) = 0 + 0 + 1. Let b(n) = x*z(n) - v(n). Factor b(g).
(g + 1)**2*(g + 2)
Solve -39/5*a + 18/5*a**3 - 6/5 - 3*a**2 = 0 for a.
-1, -1/6, 2
Let d be (4/(-2 - -3))/(7/(-77)). Let i be (-33)/d + 14/(-8) + 1. Let i*j + 4/3*j**4 + 0 - 2/3*j**3 + 0*j**2 - 2/3*j**5 = 0. Calculate j.
0, 1
Let u(k) = -6*k**4 + 6*k**3 - 16*k**2 + 16*k + 11. Let c(i) = -i**4 + i**3 - 3*i**2 + 3*i + 2. Let h(g) = 22*c(g) - 4*u(g). Factor h(q).
2*q*(q - 1)**2*(q + 1)
Let k(l) = 5*l - 5*l - 1 - l. Let s(x) be the third derivative of -x**5/60 + x**4/4 + 2*x**3/3 + 4*x**2. Let j(g) = 4*k(g) + s(g). What is r in j(r) = 0?
0, 2
Let u(w) = w**2 + 45*w + 299. Let a be u(-37). Find g, given that -6/5*g**4 + 0*g + 6/5*g**a + 2/5*g**5 - 2/5*g**2 + 0 = 0.
0, 1
Let x(u) = u**3 - 33*u**2 + 73*u - 336. Let d be x(31). Factor 0*j**2 + 4/7*j**3 + 0 + 0*j**4 + 0*j - 4/7*j**d.
-4*j**3*(j - 1)*(j + 1)/7
Let b = -63 + 66. Let k be 54/(-21) - -3 - (-3)/b. What is y in -4/7*y**2 + 0*y + k*y**3 + 2/7*y**5 - 8/7*y**4 + 0 = 0?
0, 1, 2
Let d = 2143 + -36429/17. Factor 4/17*t + d + 2/17*t**2.
2*(t + 1)**2/17
Factor 4/13 + 8/13*a**2 + 10/13*a + 2/13*a**3.
2*(a + 1)**2*(a + 2)/13
Let g(l) be the first derivative of 13/8*l**3 + 3/40*l**5 + 9/4*l**2 + 9/16*l**4 - 25 + 3/2*l. Find y such that g(y) = 0.
-2, -1
Let x = -23/4 - -37/4. Let z = 25/6 - x. Factor -17/6*l**2 + z*l**3 - 1/2 + 8/3*l.
(l - 3)*(l - 1)*(4*l - 1)/6
Let g = -11 - -15. Suppose g*j = -j + 10. What is i in -4*i + j*i**2 + 4*i**5 + 12*i**3 - 5*i**4 - 13*i**4 + 4*i**4 = 0?
-1/2, 0, 1, 2
Let h(j) be the first derivative of j**4/20 + 5*j**3/3 + 23*j**2/5 - 192. Factor h(o).
o*(o + 2)*(o + 23)/5
Let u be ((-40590)/(-164))/165 - (-2)/((-20)/(-141)). Determine c so that -36/5 - u*c - 2/5*c**4 - 58/5*c**2 - 18/5*c**3 = 0.
-3, -2, -1
Let x(d) = -d**3 - 20*d**2 - 19*d + 2. Let z be x(-19). Solve -8*l**z - 4*l - 10*l**2 + 12*l**2 = 0.
-2/3, 0
Let i(x) be the third derivative of x**5/300 - 11*x**4/120 - 13*x**3/15 + 4*x**2 + 4. Factor i(q).
(q - 13)*(q + 2)/5
Let c(u) = 3*u**3 + 611*u**2 - 61216*u + 2060597. Let h(b) = 2*b**3 + 306*b**2 - 30609*b + 1030298. Let p(l) = 3*c(l) - 5*h(l). Factor p(g).
-(g - 101)**3
Factor -3/4*f**3 + 1/4*f**4 - 24*f - 31/2*f**2 + 40.
(f - 10)*(f - 1)*(f + 4)**2/4
Let x = 53/104 + -1/104. Let m(n) be the first derivative of 3/8*n**4 + 0*n + 3 + 1/6*n**3 - x*n**2. Factor m(o).
o*(o + 1)*(3*o - 2)/2
Let y(w) be the second derivative of -5*w**4/12 + 310*w**3/3 - 9610*w**2 + 208*w. Factor y(k).
-5*(k - 62)**2
Let y(d) be the third derivative of 1/5*d**5 + 0 - 1/10*d**6 + 0*d - 3/70*d**7 + 0*d**4 + 24*d**2 + 0*d**3. Determine g, given that y(g) = 0.
-2, 0, 2/3
Suppose -12*x = -16*x + 3*i - 1, 0 = 4*x - i - 5. Factor 1 - 1/2*f**x - 1/2*f.
-(f - 1)*(f + 2)/2
Solve -5/4*q**2 - 185/2*q - 6845/4 = 0.
-37
Let a be (1 - -9)*8/10. Factor -2*i**2 + 11*i**2 - 6 + 4 - 3*i**3 - 3*i**4 + a + 15*i.
-3*(i - 2)*(i + 1)**3
Let m(t) be the first derivative of 3*t**4/4 + 3*t**3 - 27*t**2/2 - 81*t + 169. Solve m(v) = 0 for v.
-3, 3
Let t = -5139/7 + 735. Determine d so that -t*d + 2/7*d**3 + 0*d**2 - 4/7 = 0.
-1, 2
Let w(g) be the first derivative of 0*g + 1/34*g**4 + 18 + 2/51*g**3 - 2/17*g**2. Factor w(h).
2*h*(h - 1)*(h + 2)/17
Let y(g) be the second derivative of -g**10/15120 + g**8/3360 + 2*g**4/3 + 6*g. Let t(u) be the third derivative of y(u). Solve t(j) = 0.
-1, 0, 1
Let p be (1848/144 - (-3)/(-18)) + -7. Factor -7/2*a - 3/2*a**4 - 13/3*a**3 - p*a**2 - 5/6 - 1/6*a**5.
-(a + 1)**4*(a + 5)/6
Let -374*k**2 + 160*k + 159 - 372*k**2 + 747*k**2 = 0. What is k?
-159, -1
Let l(j) be the first derivative of -j**4/20 + j**3/15 + 739. Factor l(x).
-x**2*(x - 1)/5
Suppose -g = -h + 1, 5*g - h + 2 = 9. Factor -1/3*c**g + 1/3 - 1/3*c**3 + 1/3*c.
-(c - 1)*(c + 1)**2/3
Let a(m) be the third derivative of -m**8/84 - 4*m**7/21 - 5*m**6/6 + 4*m**5/3 + 40*m**4/3 - 128*m**3/3 + 3*m**2 + 5*m. Determine h, given that a(h) = 0.
-4, 1
Suppose s - 4*p - 3 = -1, p = 0. Factor 24 - 30*z + z**2 + 59 + 2*z**s - 8.
3*(z - 5)**2
Suppose -2*d + 7 - 3 = 0. Find h such that -9*h**2 + 2*h**3 - 11*h**2 + 26*h**d = 0.
-3, 0
Let u = 420 - 7555/18. Let y(l) be the second derivative of -1/126*l**7 + 0 + 5*l - 1/60*l**5 + 4/3*l**2 + 2/9*l**3 + 2/45*l**6 - u*l**4. What is i in y(i) = 0?
-1, 2
Let v(q) be the third derivative of -q**6/360 + 73*q**5/180 - 5*q**2. Let v(s) = 0. Calculate s.
0, 73
Factor -1559*b**2 + 48 + 22*b + 1562*b**2 + 19*b + 10*b.
3*(b + 1)*(b + 16)
What is g in g - 3/2 + 1/2*g**2 = 0?
-3, 1
Let y(v) be the third derivative of v**6/120 + v**5/30 - 29*v**4/24 + 7*v**3 - 186*v**2 - 1. Factor y(n).
(n - 3)*(n - 2)*(n + 7)
Let s(m) = 108*m**2 + 4872*m + 133068. Let h(r) = 10*r**2 + 443*r + 12097. Let v(p) = -32*h(p) + 3*s(p). Factor v(w).
4*(w + 55)**2
Let h(u) be the second derivative of u**6/6 - 3*u*