-2, 0, 1
Let o(l) be the first derivative of l**6/3 + 12*l**5/5 + 13*l**4/2 + 8*l**3 + 4*l**2 + 45. Factor o(c).
2*c*(c + 1)**2*(c + 2)**2
Let o(f) = 16. Let h(n) = 11. Suppose 4*p + 5 = 5*p. Let j(y) = p*o(y) - 7*h(y). Let q(l) = -l**2 - l - 2. Let r(a) = -4*j(a) - 3*q(a). Solve r(i) = 0 for i.
-2, 1
Let r(a) be the second derivative of -a - 5/2*a**2 + 0 + 0*a**3 + 0*a**4 + 1/60*a**5. Let o(m) be the first derivative of r(m). Factor o(b).
b**2
Let i = 6 + -15. Let g be ((-12)/(-9))/((-6)/i). Factor 4*a - a + a**g - 2 - 2*a.
(a - 1)*(a + 2)
Let h(b) = 36*b**3 + 268*b**2 - 6*b - 20. Let l(t) = -t**3 - 3*t**2 + t + 1. Let m(x) = h(x) + 4*l(x). Find q such that m(q) = 0.
-8, -1/4, 1/4
Let b(y) = 12*y**2 + 6*y + 2. Let j = 33 - 31. Let p(s) = s + s**2 + j*s - 2*s. Let q(d) = -b(d) + 10*p(d). Factor q(g).
-2*(g - 1)**2
Suppose 0 = 4*a + l - 16, -l = 5*a - 0*l - 21. Let t(u) be the third derivative of 4/5*u**a + 0 + 1/8*u**4 + 0*u - 6*u**2 - 3/8*u**6 - u**3. Factor t(j).
-3*(j - 1)*(3*j + 1)*(5*j - 2)
Let x(u) = 49*u**2 + 543*u + 494. Let s(q) = 23*q**2 + 271*q + 248. Let y(p) = -13*s(p) + 6*x(p). Solve y(a) = 0 for a.
-52, -1
Factor 0*x + 0 + 8*x**3 + 64*x**2 + 1/4*x**4.
x**2*(x + 16)**2/4
Let r(i) be the first derivative of -2*i**6/3 + 28*i**5/5 + 2*i**4 - 56*i**3/3 - 2*i**2 + 28*i - 125. Determine g, given that r(g) = 0.
-1, 1, 7
What is d in -39*d + 108 - 1/12*d**3 + 10/3*d**2 = 0?
4, 18
Let z(v) = v**2 + 7*v + 10. Let r be z(-6). Suppose 5*f**2 - r*f - 17 + 62 - 23*f - 3*f = 0. What is f?
3
Let c(r) be the second derivative of r**6/70 - 2*r**5/35 + r**4/12 - r**3/21 + 21*r - 2. Factor c(v).
v*(v - 1)**2*(3*v - 2)/7
Let w(b) be the second derivative of b**4/6 + 2*b**3/3 - 3*b**2/2 + 8*b. Let x(i) = 2*i**2 + 4*i - 4. Let o(n) = -4*w(n) + 6*x(n). Factor o(r).
4*(r - 1)*(r + 3)
Let w = -63 + 443/7. Let f = 7737 - 7735. Solve -4/7*x + w*x**f + 0 = 0.
0, 2
Let s(g) = 2*g**3 + g**2 - 2*g - 1. Let w be s(3). Let a be 4/(-14) - (-240)/w. Factor 3*o**3 - o**4 + 2*o**a - 6*o**3 + 2*o**2.
o**2*(o - 2)*(o - 1)
Let i(u) be the third derivative of 0*u + 0 + 1/6*u**3 - 1/60*u**5 - 8*u**2 + 0*u**4. Factor i(k).
-(k - 1)*(k + 1)
Let r be 1/(-1)*195/(-325). Let n(y) = y + 4. Let p be n(-4). Factor -3/5*c**3 + 3/5*c**5 + p - r*c**2 + 3/5*c**4 + 0*c.
3*c**2*(c - 1)*(c + 1)**2/5
Let k = -1129930/13 + 87004. Let w = k + -86. Factor 0 + 18/13*y**2 + w*y + 14/13*y**3.
2*y*(y + 1)*(7*y + 2)/13
Let y = 7253/1885 - 18/377. Determine f, given that 7/5*f**5 + 1/5*f**2 - 2/5*f + 0 + y*f**4 + 3*f**3 = 0.
-1, 0, 2/7
Suppose -484 + 336 = -37*k. Determine o, given that -10/3*o**3 - k*o**2 - o**4 - 1/3 - 2*o = 0.
-1, -1/3
Let m(j) be the third derivative of j**8/784 - j**7/490 - 9*j**6/280 + j**5/140 + 5*j**4/14 + 6*j**3/7 - 470*j**2. Suppose m(z) = 0. Calculate z.
-2, -1, 2, 3
Factor -110*k**5 - 9*k**4 + 224*k**5 - 108*k**5 + 3*k**3.
3*k**3*(k - 1)*(2*k - 1)
Let p(z) be the second derivative of -z**6/10 - 531*z**5/20 - 10443*z**4/4 - 205379*z**3/2 - 55*z. Solve p(l) = 0 for l.
-59, 0
Let l = 19 + -18. Let q be (3 - 1)*l*60/105. Factor -q + 8/7*z - 2/7*z**2.
-2*(z - 2)**2/7
Suppose -20*i = -10*i - 20. Suppose 3*x = 12, 0 = 2*k + i*k + 2*x - 16. Factor b - 1/3*b**k + 0.
-b*(b - 3)/3
Let n(m) = -m**3 + 6*m**2 - 4*m + 3. Let l be n(5). Let a(k) = -3*k + 27. Let y be a(l). Determine x so that 1/6*x**y + 0 + 0*x - 1/3*x**2 = 0.
0, 2
Let s(t) be the third derivative of -t**8/1344 + t**6/480 - 55*t**2. Solve s(y) = 0.
-1, 0, 1
Let z(t) be the first derivative of 9*t**2 + 2*t**3 + 18*t + 1/6*t**4 + 40. Suppose z(j) = 0. What is j?
-3
Let n be (-90)/(-14) + (-8)/(-14). Find x such that n*x - 3 - 9*x + 3 + 2*x**3 = 0.
-1, 0, 1
Let l(b) be the second derivative of 9*b**5/20 + 3*b**4/2 + 11*b**3/6 + b**2 - b - 28. Solve l(h) = 0 for h.
-1, -2/3, -1/3
Let x(w) be the third derivative of -w**8/3360 + w**7/420 - w**5/15 + 5*w**4/12 + 8*w**2. Let i(r) be the second derivative of x(r). Factor i(b).
-2*(b - 2)**2*(b + 1)
Suppose -3*p = -4*b + 22, 0 = -0*b - 2*b - 4*p. Factor 7*d**4 - 4*d**3 - 15*d**2 - 2 + 9*d**4 - b*d**3 + 8*d + 1.
(d - 1)*(d + 1)*(4*d - 1)**2
Let c(u) be the first derivative of u**4/8 + 7*u**3/2 - 11*u**2/2 + 106. Solve c(j) = 0.
-22, 0, 1
Let b(h) be the third derivative of 0*h + 1/12*h**3 + 0 + 8*h**2 - 1/240*h**5 - 1/96*h**4. What is m in b(m) = 0?
-2, 1
Let r(t) be the third derivative of -t**8/672 - t**7/420 + t**6/40 + 6*t**2. Factor r(k).
-k**3*(k - 2)*(k + 3)/2
Let z(l) be the third derivative of l**7/5040 - l**5/180 + 2*l**3 - 6*l**2. Let w(x) be the first derivative of z(x). Determine s, given that w(s) = 0.
-2, 0, 2
Let x(t) be the third derivative of 0*t + 14*t**2 + 3/10*t**5 + 7/8*t**4 + 1/2*t**3 + 0. Find h such that x(h) = 0.
-1, -1/6
Let g(n) = 4*n**5 + 10*n**4 + 40*n**3 - 26*n**2 - 14*n. Let i(v) = v**5 + 2*v**4 + 8*v**3 - 5*v**2 - 3*v. Let t(z) = 3*g(z) - 14*i(z). Solve t(d) = 0 for d.
-2, 0, 1, 2
Let b(o) be the first derivative of -5*o**4/12 - 5*o**3 + 35*o**2/2 + 29*o - 16. Let q(h) be the first derivative of b(h). What is j in q(j) = 0?
-7, 1
Let s(t) = -45*t - 2201. Let c be s(-49). Determine p, given that 10/3*p - 2/3*p**2 - c = 0.
2, 3
Find u such that 19*u**3 + 81*u + 5*u**3 - 170*u**2 + 30 + 21*u**3 + 14*u = 0.
-2/9, 1, 3
Let g(f) be the third derivative of f**6/180 + f**5/30 - f**4/6 - 8*f**3/9 - 44*f**2. Factor g(o).
2*(o - 2)*(o + 1)*(o + 4)/3
Let v(n) = 3 + 0 - 169*n + 167*n. Let r be v(-1). Factor 9*o**4 + 0*o**2 - r*o**2 - 4*o**4.
5*o**2*(o - 1)*(o + 1)
Suppose 4*c = -3*f - 7 + 49, -2*c + 5*f + 8 = 0. Let -15/4*u**2 + 3/8*u**3 - c + 21/2*u = 0. Calculate u.
2, 6
Let l = 35291/4 + -8822. What is g in -9/8*g**3 + 3/8*g**4 - 3/8*g**2 + l*g + 0 + 3/8*g**5 = 0?
-2, -1, 0, 1
Let n(z) = -5*z**2 + 10*z - 2. Let d(j) = 5*j**2 - 11*j + 2. Let m(a) = 3*d(a) + 4*n(a). Find h, given that m(h) = 0.
2/5, 1
Solve 0 + 0*i - 1/7*i**4 - 252*i**2 + 12*i**3 = 0.
0, 42
Let o(z) be the second derivative of -z**5/4 + 75*z**4/4 - 1125*z**3/2 + 16875*z**2/2 + 39*z. Suppose o(x) = 0. Calculate x.
15
Let o(f) = -f**3 - 26*f**2 + 142*f - 2. Let b(d) = 3*d**3 + 53*d**2 - 283*d + 5. Let g(q) = -4*b(q) - 10*o(q). Factor g(r).
-2*r*(r - 12)**2
Let u(y) be the third derivative of y**5/360 - y**4/18 + y**3/3 + 2*y**2 + 27. Determine k so that u(k) = 0.
2, 6
Let i(z) = 32*z - 4926. Let s be i(154). Determine p, given that -1/2*p**s + 0 - 3/8*p - 1/8*p**3 = 0.
-3, -1, 0
Let h(m) be the second derivative of -1/12*m**4 - m - 4/3*m**3 + 31 - 8*m**2. Factor h(r).
-(r + 4)**2
Let h(m) = -2*m**4 - 32*m**3 + 5*m**2 + 5*m + 5. Let u(v) = 2*v**3 + v**2 + v + 1. Let g(s) = h(s) - 5*u(s). Solve g(r) = 0 for r.
-21, 0
Suppose -w - 37 = -7*w - 5*t, 5*w - 5*t = -15. Factor -3/2*o + 3/2*o**3 - 3/2 + 3/2*o**w.
3*(o - 1)*(o + 1)**2/2
Let o(c) be the third derivative of c**7/945 + 7*c**6/540 + 11*c**5/270 + 5*c**4/108 + c**2 - 27*c. Suppose o(z) = 0. What is z?
-5, -1, 0
Let y(r) be the third derivative of -1/4*r**5 + 7*r**3 + 34*r**2 + 0 + 0*r - 33/8*r**4. Factor y(w).
-3*(w + 7)*(5*w - 2)
Let y(i) be the first derivative of i**6/160 + i**5/40 - i**4/32 - i**3/4 + 4*i**2 - 1. Let w(r) be the second derivative of y(r). Factor w(t).
3*(t - 1)*(t + 1)*(t + 2)/4
Let h(m) = -1049*m - 4196. Let u be h(-4). Factor -8/5*q**3 + 7/5*q**4 - 16/5*q**2 + 0*q - 1/5*q**5 + u.
-q**2*(q - 4)**2*(q + 1)/5
Let i be 42/40 + 1 - (-100 + 102). Let p(g) be the third derivative of -5/8*g**4 - i*g**5 + 0*g - 3/2*g**3 + 1/40*g**6 + 6*g**2 + 0. Factor p(t).
3*(t - 3)*(t + 1)**2
Let a = -635 - -4446/7. Factor -3/7*k + 0*k**2 + a*k**3 - 2/7.
(k - 2)*(k + 1)**2/7
Let d(o) be the first derivative of -1/6*o**4 - 1/15*o**5 + 11 + 4/9*o**3 + 0*o + 4/3*o**2. Factor d(u).
-u*(u - 2)*(u + 2)**2/3
Let j(y) be the second derivative of y**7/315 - y**5/45 + y**3/9 - 4*y**2 - 14*y. Let m(v) be the first derivative of j(v). Factor m(f).
2*(f - 1)**2*(f + 1)**2/3
Suppose 3*v = 47*h - 45*h - 2, -3*v + 10 = h. Suppose 0 = -0*x - 3*x + 6. Factor -6 - v*p + 2*p + 3 + 3*p**x.
3*(p - 1)*(p + 1)
Let f = -860 + 862. Factor -2/3*r**4 + 2/3*r**f + 2/3*r**3 + 0*r + 0 - 2/3*r**5.
-2*r**2*(r - 1)*(r + 1)**2/3
Factor -27/4*m**2 - 42 - 99/2*m + 3/4*m**3.
3*(m - 14)*(m + 1)*(m + 4)/4
What is k in 8743 + 180*k + 3*k**3 - 48*k**2 - 8743 = 0?
0, 6, 10
Let 