+ 1)*(p + 2)**2
Let 38/5*a - 22/5*a**2 - 28/5*a**3 + 12/5 = 0. What is a?
-3/2, -2/7, 1
Let m be ((10 - -6)/(-8))/(21/(-12) + 0). Determine b so that 2/7 + 16/7*b**2 - 10/7*b - m*b**3 = 0.
1/2, 1
Suppose 52*i - 5*i**2 - 3*i**2 + 3*i**2 + 18*i - 245 = 0. Calculate i.
7
Let o = -150094/5 - -30019. Let -4/5*b + 4/5*b**3 + 1 - 6/5*b**2 + o*b**4 = 0. Calculate b.
-5, -1, 1
Let b(c) be the first derivative of 0*c**4 + 1/30*c**5 + 41 + 0*c + 0*c**2 - 1/18*c**3. Factor b(l).
l**2*(l - 1)*(l + 1)/6
Let b(p) be the first derivative of 12 + 0*p - 1/12*p**4 - 1/3*p**2 + 1/3*p**3. Factor b(m).
-m*(m - 2)*(m - 1)/3
Let l = -1333 - -1999. Let z be l/(-162) + 3 + 2. Suppose 4/9*a**2 - z*a + 2/9*a**3 - 16/9 = 0. What is a?
-2, 2
Let y(u) = -6*u**3 - 96*u**2 + 193*u - 74. Let x(w) = -2*w**3 - 32*w**2 + 64*w - 24. Let r(h) = -17*x(h) + 6*y(h). Suppose r(q) = 0. What is q?
-18, 1
Let k(f) be the third derivative of f**6/480 - f**5/20 - 33*f**4/32 - 27*f**3/4 + 82*f**2 - 1. Find h, given that k(h) = 0.
-3, 18
Factor 41*v**2 - 23*v + 8*v - 108 - 38*v**2.
3*(v - 9)*(v + 4)
Let p(q) be the second derivative of -3/20*q**5 - 19*q - 3/4*q**4 + 0 + 0*q**2 + 0*q**3. Factor p(j).
-3*j**2*(j + 3)
Determine c so that -1127*c + 9*c**2 + 20590 - 14*c**2 - 63*c - 91395 = 0.
-119
Let b(j) be the first derivative of 2/55*j**5 - 2/33*j**3 + 2/11*j**2 + 7 - 1/11*j**4 + 0*j. Determine s, given that b(s) = 0.
-1, 0, 1, 2
Let b(q) be the first derivative of 9*q + 2 + 1/45*q**3 + 1/150*q**5 - 1/45*q**4 + 0*q**2. Let c(o) be the first derivative of b(o). Factor c(d).
2*d*(d - 1)**2/15
Suppose 27 = -4*t - 17. Let a = t + 15. Suppose 4*y**2 - 298*y + 298*y - a*y**4 = 0. What is y?
-1, 0, 1
Let y(i) = -i - 3. Let l be y(-4). Factor 9*a**4 + 7 + 3*a**2 - 6*a - 30*a**2 - 3*a**3 - 3*a - l.
3*(a - 2)*(a + 1)**2*(3*a - 1)
Let d(q) be the third derivative of -q**7/90 + 23*q**6/60 - 11*q**5/3 - 25*q**4/9 - 65*q**2 + 2. Suppose d(z) = 0. Calculate z.
-2/7, 0, 10
Let k(l) be the second derivative of -2*l**6/105 - 2*l**5/5 - 61*l**4/21 - 8*l**3 - 72*l**2/7 - 46*l + 2. Solve k(m) = 0 for m.
-6, -1
Let i(l) be the third derivative of 0 + 0*l - 2/945*l**7 + l**4 + 1/27*l**6 - 4/15*l**5 - 10*l**2 - 2*l**3. Solve i(u) = 0 for u.
1, 3
Let g(t) be the third derivative of -t**9/9072 + t**8/2520 - 4*t**3 + 19*t**2. Let z(p) be the first derivative of g(p). Suppose z(x) = 0. Calculate x.
0, 2
Let w = -4786 + 4788. Let n be 1/8*-1*-2. Factor 0*f + 1/2*f**3 + 0 - 1/4*f**w - n*f**4.
-f**2*(f - 1)**2/4
Let n(o) be the third derivative of 1/480*o**6 + 3/32*o**4 - 4*o**2 + 0*o + 0 + 1/40*o**5 + 1/6*o**3. Find z, given that n(z) = 0.
-4, -1
Let t(x) = x. Let u(i) = 5*i**3 - 4*i**2 + 0 + 8*i**2 + 52*i - 21*i**3 - 16. Let g(k) = 12*t(k) + u(k). Let g(l) = 0. Calculate l.
-2, 1/4, 2
Suppose 2*i + 3*i = 15. Suppose -2*m + v + 9 = -1, 4*v + 4 = -4*m. Factor 5*b - i*b - 3*b**3 + b**m.
-2*b*(b - 1)*(b + 1)
Let z(r) be the first derivative of -64*r**4 - 64*r**3 + 72*r**2 - 20*r + 206. Factor z(u).
-4*(4*u - 1)**2*(4*u + 5)
Let m(q) be the first derivative of -1/2*q**2 + 0*q + 7/10*q**5 - 24 + 3/8*q**4 + 1/4*q**6 - 1/2*q**3. Find g such that m(g) = 0.
-1, 0, 2/3
Let z(p) be the first derivative of p**4/20 + 7*p**3/5 - 9*p**2/2 + 23*p/5 - 496. Factor z(x).
(x - 1)**2*(x + 23)/5
Factor 0 - 4/5*k**4 + 668/5*k**2 + 328/5*k**3 + 336/5*k.
-4*k*(k - 84)*(k + 1)**2/5
Let h = -23044 - -23044. Suppose h + 3/4*i**3 + 15/2*i - 21/4*i**2 = 0. Calculate i.
0, 2, 5
Let j be 6/63*3*(-42)/(-6). Factor -2/3*v**2 + 0*v - j*v**3 - 4/3*v**4 + 0.
-2*v**2*(v + 1)*(2*v + 1)/3
Let f = -3140 + 15701/5. Factor 2*w + f*w**2 + 5.
(w + 5)**2/5
Let w be 16 - (5 + (-8)/(-2)). Let s(n) be the second derivative of 0 + 13/18*n**4 - 1/9*n**w + 0*n**2 + 4*n + 23/45*n**6 - 9/10*n**5 - 2/9*n**3. Factor s(c).
-2*c*(c - 1)**3*(7*c - 2)/3
Let u be (32/(-10))/(5/(-150)). Let g be (4/(-24))/((-9)/u). What is w in g - 2/9*w**3 - 4/9*w**2 + 8/9*w = 0?
-2, 2
Let y = 154 - 458/3. Let b = 1/183 + 121/183. Suppose -8/3*n**2 - 10/3*n - b*n**3 - y = 0. What is n?
-2, -1
Let h(f) be the third derivative of -f**6/60 + 2*f**5/5 + 5*f**4 + 64*f**3/3 - 44*f**2. Factor h(t).
-2*(t - 16)*(t + 2)**2
Suppose 2*i + 1/5*i**3 - 11/5*i**2 + 0 = 0. Calculate i.
0, 1, 10
Let h be (1/6)/((-54)/(-81)). Let l(z) be the first derivative of 1/2*z**3 + 1/10*z**5 + 3/8*z**4 + h*z**2 + 0*z + 5. Factor l(r).
r*(r + 1)**3/2
Factor 4/5*a**3 + 576/5*a**2 + 20736/5*a + 0.
4*a*(a + 72)**2/5
Let c(h) = 9*h**2 + 195*h + 240. Let q(x) = -8*x**2 - 187*x - 241. Let p(a) = -2*c(a) - 3*q(a). Suppose p(j) = 0. Calculate j.
-27, -3/2
Let l(n) be the second derivative of 0 - 2/3*n**4 + 2/3*n**3 + 45*n + 4*n**2 - 1/5*n**5. Factor l(i).
-4*(i - 1)*(i + 1)*(i + 2)
Let n = -2 - -5. Let k be (n/(-3) - 0)*1. Let u(v) = -v**3 + v. Let z(d) = -4*d**3 - 4*d**2 + 8*d. Let y(m) = k*z(m) + 6*u(m). Factor y(r).
-2*r*(r - 1)**2
Let o(p) = -p**2 + 11*p - 2. Let d be o(10). Determine h, given that 10*h**3 + 8*h + 1 - 1 - 8*h**2 - d*h**3 = 0.
0, 2
Let k = -19 - -59/2. Let m = k - 49/6. Determine d so that -1/2*d**4 + 1/2 + 1/3*d + m*d**3 - 8/3*d**2 = 0.
-1/3, 1, 3
Let j(x) = 50*x**2 + 30*x - 20. Let v(t) = t**2 - 1. Let h(f) = -j(f) - 5*v(f). Factor h(z).
-5*(z + 1)*(11*z - 5)
Let n(d) = -45 - 7*d**2 - 52 + 14 + 64*d + d**3 - 2*d**3. Let i(x) = -2*x**3 - 22*x**2 + 192*x - 250. Let h(f) = -3*i(f) + 10*n(f). Let h(j) = 0. Calculate j.
-5, 2
Let l(d) be the second derivative of d**7/504 - d**6/72 + d**5/24 - 3*d**4/2 - 38*d. Let z(s) be the third derivative of l(s). Let z(c) = 0. Calculate c.
1
Suppose 4*q + 16*d = 21*d + 52, 0 = -q + 5*d + 43. Factor 4/3*i**4 + 64/3 - 16/3*i - 16*i**2 - 4/3*i**q.
4*(i - 4)*(i - 1)*(i + 2)**2/3
Suppose -10952/9*r - 2/9*r**3 + 296/9*r**2 + 0 = 0. Calculate r.
0, 74
Let w(b) be the first derivative of 0*b - 22 + 0*b**2 + 9/2*b**4 - 1/2*b**3 - 54/5*b**5. Factor w(f).
-3*f**2*(6*f - 1)**2/2
Let q(v) be the third derivative of v**6/120 - v**5/5 - 13*v**4/24 + v**3/3 - 3*v**2. Let m be q(13). Factor m*u**3 - 3*u**5 + 7*u**5 - u**3 - 5*u**5.
-u**3*(u - 1)*(u + 1)
Factor 313*v**4 + 60*v**2 + 0*v**2 - 318*v**4 - 20*v**3.
-5*v**2*(v - 2)*(v + 6)
Let j(p) be the first derivative of p**3/3 - 271*p**2 + 73441*p + 570. Factor j(t).
(t - 271)**2
Determine k so that 17*k**2 + k**2 + 17*k**2 + 16*k + 4*k**2 + 4 - 22*k**2 + 5*k**3 = 0.
-2, -1, -2/5
Let i(c) = -72*c**3 - c**2 + 2*c + 2. Let r be i(-1). Let s = r + -283/4. Suppose -7/4*d**3 - 1 - s*d**5 - 1/4*d**2 + 5/4*d**4 + 2*d = 0. What is d?
-1, 1, 2
Let w(g) be the third derivative of g**5/120 - 79*g**4/6 + 24964*g**3/3 - 3*g**2 - 21. Factor w(y).
(y - 316)**2/2
Let w be (-4)/18 - 573/(-27). Factor 2 + w*x + 31*x**2 - 40*x**2 + 42*x**3 - 4 - 52*x**2.
(x - 1)*(6*x - 1)*(7*x - 2)
Factor b**3 + 0 + 1/2*b - 1/4*b**4 - 5/4*b**2.
-b*(b - 2)*(b - 1)**2/4
Suppose -3*i - 5*j = 34 - 71, 0 = -3*i + j + 7. Factor 27/2*w + 0 + 27/2*w**2 + 9/2*w**3 + 1/2*w**i.
w*(w + 3)**3/2
Let b(a) be the second derivative of -a**5/130 + 3*a**4/26 - 2*a**3/3 + 24*a**2/13 - 41*a - 1. Factor b(i).
-2*(i - 4)*(i - 3)*(i - 2)/13
Let g(j) be the second derivative of -j**4/36 - 71*j**3/3 - 15123*j**2/2 + 620*j. Factor g(i).
-(i + 213)**2/3
Let s(a) = -4*a**3 - 4*a**2 + 11*a + 9. Let q(t) = -5*t**3 - 5*t**2 + 12*t + 8. Let h(k) = 3*q(k) - 4*s(k). Factor h(l).
(l - 3)*(l + 2)**2
Let x(p) be the first derivative of p**3/6 - p**2/2 - 15*p/2 + 57. Determine r, given that x(r) = 0.
-3, 5
Let b(t) be the third derivative of t**8/784 - 3*t**7/490 + t**6/280 + 3*t**5/140 - t**4/28 + 95*t**2. Solve b(s) = 0 for s.
-1, 0, 1, 2
Let u be 18/2 + 3828/(-435). Factor 0 + 2/5*y**3 - u*y**4 + 1/5*y**2 - 2/5*y.
-y*(y - 2)*(y - 1)*(y + 1)/5
Solve 7*s**2 - 42*s - 3*s**2 + 50*s = 0 for s.
-2, 0
Let t(a) be the second derivative of -a**5/160 - 3*a**4/32 - 9*a**3/16 + 25*a**2/2 + 17*a. Let b(g) be the first derivative of t(g). What is m in b(m) = 0?
-3
Let l(w) = 4*w**2 - 5*w**2 - 70 + 72 + 4*w. Let t(b) = -b. Let a(q) = -l(q) - 3*t(q). Factor a(p).
(p - 2)*(p + 1)
Factor -225*m + 72*m + 115*m - 36 - 2*m**2.
-2*(m + 1)*(m + 18)
Find w such that 5/3*w**3 + 0 - w**2 + 0*w - 1/3*w**4 - 1/3*w**5 = 0.
-3, 0, 1
Let s(v) be the third derivative of v**5/60 - v**4/24 + v**3/3 - 11*v**2. Let y(g) = -g. Let u(t) = -s(t) + 4*y(t