
3*o*(o + 1)**2
Let f = -1007/4 + 270. Let l = 665/36 - f. Factor 4/9*c - l - 2/9*c**2.
-2*(c - 1)**2/9
Let m(a) = 9*a**2 + 25*a + 5. Let q = -31 - -30. Let b(x) = x**2 + x + 1. Let y(w) = q*m(w) + 5*b(w). Let y(t) = 0. What is t?
-5, 0
Let y(h) = -h**3 - 9*h**2 - 11*h - 7. Let m be y(-8). Determine l, given that -18*l**3 - 3*l - 45*l**5 + 5*l**2 - 12*l**4 + 42*l**5 - m*l**2 = 0.
-1, 0
Suppose 5*b + 30 = 5*u - 35, -4*u - 2*b + 52 = 0. Let r(i) = -i**2 + 15*i - 19. Let l be r(u). Factor -l*o**4 - o**2 + 3*o**5 + 2*o + 0*o**2 - 5*o**3 + 8*o**4.
o*(o - 1)*(o + 1)**2*(3*o - 2)
Suppose -p = 2*y - 12, -2*y - 16*p = -18*p. Let i(u) be the third derivative of 0 + 0*u**3 - 4*u**2 + 1/160*u**5 + 0*u + 3/64*u**y. Suppose i(a) = 0. What is a?
-3, 0
Let r(b) = -6*b**2 - b - 3. Let x be r(3). Let o be (-4)/(-1)*2/x*-3. Suppose 4/5 + o*p**2 + 6/5*p = 0. Calculate p.
-2, -1
Let h be (-1)/(-4) - (-1)/12. Let m(z) be the second derivative of 0*z**2 + 4*z + 0*z**4 + 0 + 1/10*z**5 - h*z**3. Find a, given that m(a) = 0.
-1, 0, 1
Let g(m) be the second derivative of 3/4*m**5 + 3*m + 15*m**2 + 0 - 5/3*m**4 - 85/6*m**3. Solve g(u) = 0.
-2, 1/3, 3
Suppose -296 = -4*f - 4. Let x = -71 + f. Suppose 10/3*h + 0 + 25/3*h**4 + 5/3*h**5 + 35/3*h**x + 15*h**3 = 0. Calculate h.
-2, -1, 0
Let h(d) = 10*d + 62. Let r be h(-6). Let g(f) be the first derivative of f**3 + 6 + 3/4*f**4 - 3/5*f**5 - 1/2*f**6 + 0*f**r + 0*f. Factor g(y).
-3*y**2*(y - 1)*(y + 1)**2
Let s = 3 + -1. Let v be (((-192)/2)/(-4))/2. Factor -s*u**3 + v*u**2 - 2*u**3 - 4*u**4 + 0*u**4 + 30*u + 8 - 10*u.
-4*(u - 2)*(u + 1)**3
Factor -2744/5*k + 1/5*k**4 + 588/5*k**2 + 0 - 42/5*k**3.
k*(k - 14)**3/5
Let z(r) be the third derivative of -5*r**6/3 - 22*r**5/3 - 41*r**4/12 - 2*r**3/3 + 7*r**2 + 2. Determine b so that z(b) = 0.
-2, -1/10
Let z(y) be the second derivative of -y**5/4 + 25*y**4/6 - 115*y**3/6 + 35*y**2 + 202*y. Solve z(n) = 0.
1, 2, 7
Let j be 0 - -1 - (17 - 19). Factor j*a**2 + a - a**2 - a**2.
a*(a + 1)
Factor 68/3*s**2 - 1/3*s**3 - 68/3 + 1/3*s.
-(s - 68)*(s - 1)*(s + 1)/3
Let i(g) be the third derivative of -2*g**2 + 2/75*g**5 + 0*g**3 + 0*g**4 + 0*g + 1/150*g**6 + 0 - 2/525*g**7. Factor i(c).
-4*c**2*(c - 2)*(c + 1)/5
Suppose -8 = 4*i + 5*p, 4*i = -2*p + 10 - 6. Let s(t) be the first derivative of 12*t + 1/4*t**i + 3*t**2 - 8. Find j such that s(j) = 0.
-4
Let w(n) be the second derivative of -n**6/24 - n**5/6 + 2*n**2 + 35*n. Let t(j) be the first derivative of w(j). Let t(y) = 0. What is y?
-2, 0
Let t be ((-2)/(-4))/(6/36). Let u(z) = z**2 + 4*z + 5. Let g be u(-3). Let -1/4*h**g - 1/4*h**t + 0 + 0*h = 0. Calculate h.
-1, 0
Let p(y) be the third derivative of y**8/168 - 8*y**7/105 - 3*y**6/20 - 776*y**2. Suppose p(d) = 0. Calculate d.
-1, 0, 9
Let j(l) = 5*l**2 + 158 - 28*l - 170 - 23*l**2. Let o(w) = 37*w**2 + 55*w + 25. Let t(v) = 9*j(v) + 4*o(v). Find u such that t(u) = 0.
-2, -2/7
Let b be -247*(-1)/(-350) - (-1)/2. Let n = 2/25 - b. Let 2/7*p**2 + 0 + n*p = 0. What is p?
-1, 0
Let p(r) be the first derivative of -r**6/24 + r**5/12 + 5*r**4/12 - 5*r**2/2 - 8. Let z(a) be the second derivative of p(a). Solve z(v) = 0 for v.
-1, 0, 2
Let i(n) be the first derivative of -11*n**3/6 - 37*n**2/4 - 6*n - 454. Factor i(c).
-(c + 3)*(11*c + 4)/2
Suppose 4*u - 76 = -0*u. Factor 24*m**2 + 12*m - u*m**2 + 20*m**3 + 4*m**4 + 23*m**2.
4*m*(m + 1)**2*(m + 3)
Let g(y) be the first derivative of y**6/12 + y**5/2 + y**4 + 2*y**3/3 + 48. Suppose g(x) = 0. What is x?
-2, -1, 0
Let f(p) be the second derivative of p**8/2520 + p**7/1260 - p**6/270 - 29*p**3/6 - 22*p. Let x(r) be the second derivative of f(r). Factor x(q).
2*q**2*(q - 1)*(q + 2)/3
Let w(x) be the second derivative of x**4/12 - 64*x**3/3 - 129*x**2/2 - 164*x - 1. Find q such that w(q) = 0.
-1, 129
Let o be (2/1200)/(2 + (-3)/2). Let z(b) be the third derivative of 0 + 0*b + o*b**5 + 1/30*b**3 - 3*b**2 + 1/60*b**4. Suppose z(w) = 0. Calculate w.
-1
Let t(s) be the second derivative of -s**4/3 + 12*s**3 + 126*s**2 + 6*s - 42. What is b in t(b) = 0?
-3, 21
Let m(p) be the first derivative of p**6/360 + p**5/60 - 5*p**3/3 + 1. Let j(l) be the third derivative of m(l). Factor j(z).
z*(z + 2)
Let v(d) be the first derivative of -d**6/60 - 2*d**5/15 - d**4/3 + d**3 + 7. Let o(b) be the third derivative of v(b). Factor o(z).
-2*(z + 2)*(3*z + 2)
Let m(s) = s - 2. Let t be m(-10). Let h(y) = -y - 8. Let i be h(t). Factor -4*p**5 + 5*p**3 + 2*p**i + 5*p**3 + 2*p**4 - 6*p**3 - 4*p**2.
-4*p**2*(p - 1)**2*(p + 1)
Suppose 5*t = -y - 28, 0 = 39*y - 37*y - 4*t - 28. Factor -64/3 - 4/3*l**y - 32/3*l.
-4*(l + 4)**2/3
Let m = -2 - -14. Let w = m + -10. Factor -x**3 + 2*x**4 - 2*x**w + x**5 + 7*x - 7*x.
x**2*(x - 1)*(x + 1)*(x + 2)
Let d(v) = -v**3 + v**2 - 3*v - 2. Let y be d(-2). Factor j - 77*j**3 + y*j**2 - 11*j + 73*j**3 - 6*j.
-4*j*(j - 2)**2
Let g(b) be the second derivative of 0*b**2 + 0*b**3 - 9*b + 0*b**6 - 3/5*b**5 + 0 - 2/3*b**4 + 2/21*b**7. Factor g(l).
4*l**2*(l - 2)*(l + 1)**2
Let r(h) be the second derivative of -3*h**5/100 + 3*h**4/2 - 30*h**3 + 300*h**2 - 18*h. What is a in r(a) = 0?
10
Let u(a) be the first derivative of -a**7/147 - 8*a**6/105 - 8*a**5/35 + 7*a - 3. Let y(k) be the first derivative of u(k). Factor y(w).
-2*w**3*(w + 4)**2/7
Let m(a) be the first derivative of 1/3*a**3 + a - 1/12*a**6 - 21 - 1/2*a**4 + 5/4*a**2 - 2/5*a**5. Suppose m(u) = 0. Calculate u.
-2, -1, 1
Find i, given that -181/2*i**2 + 441/4 + 357/2*i + 17/4*i**4 - 11*i**3 + 1/2*i**5 = 0.
-7, -1/2, 3
Let m(o) be the second derivative of o**9/5040 + o**8/448 + o**7/120 + o**6/80 + 3*o**4/4 + 23*o. Let a(y) be the third derivative of m(y). Factor a(z).
3*z*(z + 1)**2*(z + 3)
Factor -1/5*a - 1/5*a**2 + 12/5.
-(a - 3)*(a + 4)/5
Solve -5*x**3 - 6*x**4 + x**5 - 6*x**4 - 5*x**4 + 12*x**3 + 9*x**4 = 0 for x.
0, 1, 7
What is y in 26/3*y**2 + 0*y**3 - 3 - 3*y**4 - 2*y - 2/3*y**5 = 0?
-3, -1/2, 1
Let x = 10/13 + 22/39. Let w = 112 + -109. What is h in 10/3*h - 4/3 + x*h**2 - 10/3*h**w = 0?
-1, 2/5, 1
Let k be -3 - (140/(-12) + 11)*7. Let w be 1/(-4) - (-18)/8. Factor 0 + k*p**3 + 2*p + 17/3*p**w.
p*(p + 3)*(5*p + 2)/3
Factor 4*n**2 + 280/11*n + 400/11 + 2/11*n**3.
2*(n + 2)*(n + 10)**2/11
Let u(o) = o**5 + o**4 + 3*o**3 + 1. Let n(q) = -8*q**5 - 6*q**4 - 14*q**3 - 2*q - 6. Let g(r) = n(r) + 6*u(r). Factor g(z).
-2*z*(z - 1)**2*(z + 1)**2
Let p(w) be the first derivative of -17 + 2/3*w**3 + 2*w - 2*w**2. Determine j, given that p(j) = 0.
1
Let k(w) = -w**3 - 2*w**2 + 11*w + 20. Let u be k(-3). Let z be u/(-2)*4/20. Factor 0 - 2*o**2 + 4/5*o - z*o**4 + 8/5*o**3.
-2*o*(o - 2)*(o - 1)**2/5
Factor -1/6*k**2 + 0 + 5*k.
-k*(k - 30)/6
Factor -4/3*l + 7/3*l**2 - 1/3*l**3 - 4.
-(l - 6)*(l - 2)*(l + 1)/3
Let h = 157 + -121. Find g, given that 47*g**2 + g**4 - h*g**3 + g**4 + 144*g + 48 - 17*g**4 + g**2 = 0.
-2, -2/5, 2
Let f be 2 + -2 - 11/((-11)/6). Let j(h) be the first derivative of 2/13*h**2 - 2/39*h**3 - 2/13*h - f. Factor j(v).
-2*(v - 1)**2/13
Let t(f) = -3*f + 0 + 1 - f - 2*f**2 + 0*f**2. Let v(l) = -3*l**2 - 6*l + 2. Let g(c) = 7*t(c) - 5*v(c). Let g(r) = 0. Calculate r.
-3, 1
Let z be ((-1)/(-3))/(5/60). Suppose 0 = 2*l + 3*h + 3, -3*l - h + 5*h = -z. Solve 5*a + l + 0*a + 4*a**2 + 2 + a**3 = 0 for a.
-2, -1
Let m be (7/(-28)*0)/4. Factor 2/9*i**4 + 0*i**3 + 0 + m*i + 0*i**2.
2*i**4/9
Let o be 33/44 + 2/((-16)/(-202)). Let l = -181/7 + o. Let -1/7*w**3 + l*w + 0*w**2 + 0 = 0. Calculate w.
-1, 0, 1
Let t(j) be the second derivative of j**6/90 + 3*j**5/10 + 13*j**3/6 - 27*j. Let v(l) be the second derivative of t(l). Suppose v(f) = 0. Calculate f.
-9, 0
Find q, given that 38/5*q + 2/5*q**2 + 36/5 = 0.
-18, -1
Let p(a) be the second derivative of 21*a + 9/40*a**5 + 0*a**2 + 7/45*a**6 - 1/24*a**4 + 0 - 1/18*a**3. Find j such that p(j) = 0.
-1, -1/4, 0, 2/7
Suppose 0 = -4*n + 4, 4*c + 1 = n - 0. Let h(v) be the first derivative of -1/15*v**3 + c*v**2 + 0*v + 1/20*v**4 + 2/25*v**5 - 4. Solve h(z) = 0 for z.
-1, 0, 1/2
Let j(t) be the first derivative of 11 + 1/9*t**6 - 4/27*t**3 + 0*t - 1/6*t**4 + 0*t**2 + 4/45*t**5. What is s in j(s) = 0?
-1, -2/3, 0, 1
Solve 28 - 33*j**2 + 3*j**2 + 108*j - 1570*j**3 + 1572*j**3 - 108 = 0.
1, 4, 10
Let t(h) be the second derivative of 4/19*h**2 + 11*h 