n**2 + 0 + p*n = 0. What is n?
-1, 0
Factor -10*b**2 + 0 - 20*b + 5/2*b**4 + 5*b**3.
5*b*(b - 2)*(b + 2)**2/2
Let h(i) = -i**4 - 50*i + 5*i**3 + 45*i - 4*i**4 + 5*i**2. Let j(n) = -n**5 + 6*n**4 - 5*n**3 - 6*n**2 + 6*n. Let f(d) = 6*h(d) + 5*j(d). Factor f(q).
-5*q**3*(q - 1)*(q + 1)
Let n(u) be the third derivative of u**8/264 - 16*u**7/1155 - 2*u**6/55 + 32*u**5/165 - 4*u**4/33 - 138*u**2 + 2*u. What is x in n(x) = 0?
-2, 0, 2/7, 2
Let h = 160 - 156. Suppose h*a - 6*a = -4. Solve -2/3*f**3 + 2/3*f - 2/3*f**a + 2/3 = 0.
-1, 1
Let f be (-49 - -1)*2/(1 - -3). Let w be (4/f)/((-110)/45 + 2). Factor 1/2*p**2 + 0 + 0*p**3 - 1/8*p**5 - w*p**4 + 0*p.
-p**2*(p - 1)*(p + 2)**2/8
Let u(b) = -3*b**4 + 5*b**3 + 8*b**2 + 4. Let i(g) = 2*g**4 - 5*g**3 - 8*g**2 - g - 3. Suppose -8*k - 30 = 2*k. Let w(x) = k*u(x) - 4*i(x). Factor w(h).
h*(h + 1)*(h + 2)**2
Let r(b) = 65 - 10*b**2 + 53*b + 2*b - 40 + 75. Let a(q) = -q**2 + 6*q + 11. Let y(s) = 35*a(s) - 4*r(s). Suppose y(t) = 0. Calculate t.
-1, 3
Let b = 1685745/7 - 241282. Let d = 462 + b. Factor g**3 + d*g**4 - 4/7*g + 0 - 8/7*g**2.
g*(g - 1)*(g + 2)*(5*g + 2)/7
Let t(o) be the first derivative of 13 + 0*o + 2*o**2 - 2/3*o**3. Let t(l) = 0. Calculate l.
0, 2
Let i = -110 + 92. Let f be (3*20/(-90))/(8/i). Factor 1/6*x**3 + 7/6*x**2 + f + 5/2*x.
(x + 1)*(x + 3)**2/6
Let c be 158/(-40) + (-11 + 7)*-1. Let v(r) be the second derivative of 0 - c*r**5 + 0*r**2 - 3*r - 1/6*r**3 + 1/6*r**4. Factor v(j).
-j*(j - 1)**2
Factor -13/4*x + 0 + 7/2*x**2 - 1/4*x**3.
-x*(x - 13)*(x - 1)/4
Let r(x) = x**2 - 14*x - 72. Let t be r(-4). Suppose -3/4*l**3 + 3/2*l + 7/4*l**2 + t = 0. Calculate l.
-2/3, 0, 3
Let h(q) be the first derivative of 2/5*q - 29 - 9/10*q**2 + 4/15*q**3. Factor h(t).
(t - 2)*(4*t - 1)/5
Let g(v) = v**2 - 11*v + 29. Let i be g(8). Factor 0 + 40/13*t**2 + 36/13*t**3 + 14/13*t**4 + 2/13*t**i + 16/13*t.
2*t*(t + 1)*(t + 2)**3/13
Let v = 1/624 + 463/3120. Let x(r) be the third derivative of 0 + 0*r - 1/2*r**4 - v*r**5 + r**2 - 2/3*r**3. Factor x(k).
-(3*k + 2)**2
Let o(h) be the first derivative of -h**4 + h**3/3 + 2*h**2 - h - 55. Factor o(z).
-(z - 1)*(z + 1)*(4*z - 1)
Let t(u) be the second derivative of u**6/30 + 11*u**5/20 + 2*u**4 + 404*u. Determine x so that t(x) = 0.
-8, -3, 0
Let d(a) be the third derivative of -a**8/19320 + a**7/9660 + a**6/4140 - a**5/1380 + 2*a**3 - 2*a**2. Let h(c) be the first derivative of d(c). Factor h(o).
-2*o*(o - 1)**2*(o + 1)/23
Let n(x) be the first derivative of -14*x**5/5 - 3*x**4 + 2*x**3/3 - 793. Find g such that n(g) = 0.
-1, 0, 1/7
Let p(v) be the first derivative of -3/14*v**2 - 4/35*v**5 - 27 + 4/21*v**3 + 1/14*v**4 + 1/42*v**6 + 0*v. Let p(r) = 0. Calculate r.
-1, 0, 1, 3
Let a(o) be the second derivative of 5*o**7/392 + o**6/42 - 51*o**5/280 + 9*o**4/28 + o**3/6 - 24*o. Let l(b) be the second derivative of a(b). Factor l(u).
3*(u + 2)*(5*u - 3)**2/7
Let n(u) be the first derivative of -u**3/5 - 33*u**2/2 + 342*u/5 - 606. Solve n(g) = 0.
-57, 2
Suppose -199692/5 - 3882*l**3 - 15*l**4 - 1001556/5*l - 1263567/5*l**2 = 0. What is l?
-129, -2/5
Let j = 3673/3 + -1223. Let x(h) be the first derivative of 3/2*h**2 + j*h**3 + 0*h - 3/4*h**4 + 4 - 4/5*h**5. Suppose x(c) = 0. Calculate c.
-1, -3/4, 0, 1
Let f be ((-52)/(-6))/((-12)/(-18)). Factor -2*g**3 - 26*g**4 + f*g**4 + 3*g**5 + 18*g**4.
g**3*(g + 2)*(3*g - 1)
Let f(p) = 3*p + 65. Let k = -114 - -93. Let t be f(k). Solve -1/3*c**3 + 1/3*c + 0*c**t + 0 = 0 for c.
-1, 0, 1
Suppose 0*b**3 - 2 + 76*b**2 + 4*b - 4*b**3 - 56*b**2 - 18 = 0. What is b?
-1, 1, 5
Solve -248 + 35*n - 4*n**2 + 132 - 155*n = 0.
-29, -1
Find n, given that 52*n**2 - 8*n**3 - 14 + 46 + 20*n**3 + 120*n + 24*n**2 = 0.
-4, -2, -1/3
Suppose 3*c - 13 + 1 = -2*v, v + 4*c = 16. Let g(n) be the second derivative of 0 - 6*n + 0*n**5 + 1/135*n**6 + v*n**2 + 2/27*n**3 - 1/18*n**4. Factor g(d).
2*d*(d - 1)**2*(d + 2)/9
Let b(f) be the third derivative of -f**6/3780 - f**5/252 - 19*f**3/3 - 19*f**2. Let g(y) be the first derivative of b(y). Factor g(n).
-2*n*(n + 5)/21
Let p(o) = 3 - 4 + 0 + o. Let z(a) = -5*a**2 - 31*a + 36. Let r(d) = -4*p(d) + z(d). Factor r(m).
-5*(m - 1)*(m + 8)
Let x(g) = g**2 - 4*g - 247. Let z be x(18). Factor -f + 0 - f**4 + 3/4*f**3 + f**2 + 1/4*f**z.
f*(f - 2)**2*(f - 1)*(f + 1)/4
Factor 64/3*z - 4/3*z**2 + 64 - 2/3*z**3.
-2*(z - 6)*(z + 4)**2/3
Suppose -8/7*u**2 + 36/7*u**5 + 0 + 0*u - 72/7*u**4 + 44/7*u**3 = 0. What is u?
0, 1/3, 2/3, 1
Let l be (291/(-97))/(33/2) - 70/(-22). Factor -1/2*g**2 + 1/2 - 1/2*g**l + 1/2*g.
-(g - 1)*(g + 1)**2/2
Factor 11/2*l**2 + 7/2 - 10*l + l**3.
(l - 1)*(l + 7)*(2*l - 1)/2
Let f = 10957 + -54783/5. Solve f + 4/5*w + 2/5*w**2 = 0 for w.
-1
Let r(p) be the first derivative of -1/20*p**5 + p**2 - 7 + 0*p + 1/3*p**3 + 1/24*p**4. Let c(b) be the second derivative of r(b). Solve c(m) = 0 for m.
-2/3, 1
Let p(c) be the first derivative of 0*c**4 + 0*c**3 + c - 1/50*c**5 + 0*c**2 + 1. Let w(z) be the first derivative of p(z). Determine o, given that w(o) = 0.
0
Let b(q) = q**3 - q**2 + 1. Let y(h) = 3*h**3 - 10*h**2 - 7*h - 3. Let k(w) = -4*b(w) + y(w). Let t be k(-5). Factor 3*o**t - 5 + 9*o + 1 + 3 - 2 - 9*o**2.
3*(o - 1)**3
Suppose -11 = -2*c - 5*m - 2, m + 9 = 5*c. Suppose c*h = -4*h + 18. Suppose -3*a**3 - 81*a - 27*a**2 - 81 + h*a**3 - 5*a**3 + 2*a**3 = 0. What is a?
-3
Let f(r) be the second derivative of -r**7/231 + r**6/15 + r**5/55 - r**4/3 - r**3/33 + r**2 - 83*r. What is y in f(y) = 0?
-1, 1, 11
Let l(r) be the third derivative of r**7/42 - 7*r**6/12 + 6*r**5 - 135*r**4/4 + 225*r**3/2 + 132*r**2. Determine c, given that l(c) = 0.
3, 5
Suppose -4 - 2 = -3*g. Suppose -4*k + s + 29 = 0, 4*s = 7*k - 2*k - 28. Find b, given that 10*b**3 - k*b**3 + b**g + 2*b**4 + 6*b - 11*b**2 = 0.
-3, 0, 1
Let k be 2/(-6)*(0 - 6). Suppose 3*l - 30 = -k*l. Let -3*p**5 - 8*p**2 - 3 + 3*p**2 - p**2 + 9*p - 3*p**4 - l*p**3 + 12*p**4 = 0. Calculate p.
-1, 1
Let n(i) be the second derivative of 2*i**7/21 - 4*i**6/15 + i**5/5 - 627*i. Factor n(z).
4*z**3*(z - 1)**2
Let r(y) = -3*y**3 - 49*y**2 - 63*y - 17. Let x(b) = -b**3 - 23*b**2 - 31*b - 9. Let l(q) = -6*r(q) + 13*x(q). Solve l(h) = 0 for h.
-1, 3
Factor -4418 - 94*h - 1/2*h**2.
-(h + 94)**2/2
Let w(c) be the third derivative of 4/3*c**3 + 1/30*c**6 + 0*c + 10*c**2 - 2/5*c**5 + 0 + 4/105*c**7 + 1/6*c**4. Factor w(f).
4*(f - 1)**2*(f + 2)*(2*f + 1)
Suppose 9*x = -9*x + 90. Suppose -9 = 2*t - x*t. Find p such that -1/3*p + 0*p**2 + 1/3*p**t + 0 = 0.
-1, 0, 1
Find l such that 408/7 + 4/7*l**2 + 212/7*l = 0.
-51, -2
Factor 198/5*g + 16 + 15*g**2 - 2/5*g**3.
-(g - 40)*(g + 2)*(2*g + 1)/5
Determine k so that 147*k + 46 - 42*k**2 - 3*k**3 - 107 - 41 + 0*k**3 = 0.
-17, 1, 2
Let h(u) = -u**2 - 9*u + 8. Let g be h(-10). Let a be (15/6 + -4)*g. Factor 9/2*s**a + 1/2*s**5 + 7/2*s**2 + 0 + 5/2*s**4 + s.
s*(s + 1)**3*(s + 2)/2
Let a(q) = q**2 + 5*q - 17. Let z be a(-14). Let b = -109 + z. Factor 0 + 3/7*r**5 + 0*r**3 + 3/7*r**4 + 0*r**2 + b*r.
3*r**4*(r + 1)/7
Let l(h) = 15*h + 21*h**3 + 102*h + 57 + 0*h**2 + 72*h**2. Let z(r) = 5*r**3 + 18*r**2 + 29*r + 14. Let y(p) = -2*l(p) + 9*z(p). Suppose y(m) = 0. What is m?
-4, -1
Suppose 72 = 7*f + 11*f. Let t(d) be the first derivative of 3/2*d**2 - f - d + 1/4*d**4 - d**3. What is q in t(q) = 0?
1
Let r(d) be the second derivative of d**4/108 - 2*d**3/3 + 18*d**2 + 2*d + 28. Determine s, given that r(s) = 0.
18
Let r(d) be the third derivative of 22*d**2 - 10/9*d**3 + 0 + 0*d - 25/72*d**4 - 1/36*d**5. Determine k, given that r(k) = 0.
-4, -1
Find s, given that -4/15*s**3 + 2/15*s**2 - 2/15*s**4 + 0 + 4/15*s = 0.
-2, -1, 0, 1
Let y(f) be the third derivative of f**5/300 - f**4/20 - 7*f**3/30 - 9*f**2 + 1. Factor y(h).
(h - 7)*(h + 1)/5
Suppose 0 - 3/5*z**2 + 114/5*z = 0. What is z?
0, 38
Suppose -4*w - 11 + 31 = 3*c, 5*w = -2*c + 18. Factor -c*y + 0*y**2 - 10 + 4*y**3 + 2*y**2 + y**4 + 0*y**2 + 7.
(y - 1)*(y + 1)**2*(y + 3)
Let h(f) = 7 + 2 + 16*f - 17*f. Let a be h(5). Factor -4*p**a + 2/3*p**2 + 0*p + 0 + 7/3*p**5 + p**3.
p**2*(p - 1)**2*(7*p + 2)/3
Let z(j) be the third derivative of 4*j**7/945 - 2*j**6/135 - j**5/90 + j**4/12 - 177*j**2. Solve z(u) = 0 for u.
-1, 0, 3/2
Suppose -2/11*f**2 + 4*f - 22 = 0. Calculate f.
11
Let a(k) be