**2*(2*k + 1)**2/3
Let a(l) be the second derivative of 5*l**4/14 - 29*l**3/21 - 2*l**2/7 - 32*l. Solve a(u) = 0 for u.
-1/15, 2
Let g(l) = -6*l**2 + 12*l - 25. Let a(d) = 7*d**2 - 11*d + 24. Let v(y) = 5*a(y) + 6*g(y). Solve v(k) = 0.
2, 15
Let a = -6435 - -6438. Suppose 25/6*i**a + 0 - 1/3*i + 5/6*i**2 = 0. Calculate i.
-2/5, 0, 1/5
Let h = -99 + 104. Let k(o) be the first derivative of 0*o + 1 - 1/14*o**4 + 1/7*o**2 - 2/35*o**h + 2/21*o**3. Factor k(q).
-2*q*(q - 1)*(q + 1)**2/7
Let z = 1786 - 1783. Suppose -1/2*l - 1/2*l**5 + 0 + 0*l**4 + 0*l**2 + l**z = 0. What is l?
-1, 0, 1
Suppose 2 = -5*s - 4*k, 4*k + 3 = -3*s + k. Factor -s*x**3 - x + 0*x**3 + x.
-2*x**3
Let u(d) be the first derivative of d**5/10 - d**3/2 - d**2/2 - 73. Factor u(n).
n*(n - 2)*(n + 1)**2/2
Let c be 210/900*398*1. Let t = 93 - c. Suppose -t - 2/15*s**4 + 0*s + 4/15*s**2 + 0*s**3 = 0. What is s?
-1, 1
Suppose 0 = 4*j - 2*c + 68, 0 = j - 5*c + 14 + 3. Let l = -13 - j. Suppose -3*b - 34*b**l + 60 - 3*b**2 + 27*b**3 + b**4 + 12*b**5 - 60 = 0. Calculate b.
-1/4, 0, 1
Suppose 11*a - 11 = 22. Let v(u) be the second derivative of -1/3*u**a + 0*u**2 + 1/10*u**5 + 6*u + 0*u**4 + 0. Factor v(q).
2*q*(q - 1)*(q + 1)
Let d(b) be the second derivative of -2 + 0*b**5 + 0*b**2 + 20*b + 0*b**6 + 0*b**3 + 0*b**4 + 5/42*b**7. Suppose d(h) = 0. Calculate h.
0
Suppose -1/2*b**4 - 225*b + 14*b**3 + 0 - 165/2*b**2 = 0. What is b?
-2, 0, 15
Suppose 2 + 3 = a. Suppose -5*g + a = -10. Suppose -g*h + 0*h**2 + 3*h + 2*h**2 = 0. What is h?
0
Factor -48/7 + 104/7*u - 10/7*u**3 + 44/7*u**2.
-2*(u - 6)*(u + 2)*(5*u - 2)/7
Let i(g) be the third derivative of 0*g**3 + 1/2*g**5 - 15/8*g**4 - 1/24*g**6 + 0*g + 0 - 5*g**2. Solve i(h) = 0 for h.
0, 3
Let o = 3767/5 + -753. Suppose 8/5*u**4 - 8/5*u**2 - 2/5*u**3 + o*u + 0 = 0. Calculate u.
-1, 0, 1/4, 1
Solve -18*p**3 + 18*p + 2/5*p**2 - 2/5*p**4 + 0 = 0 for p.
-45, -1, 0, 1
Let s(m) = -3*m**2 + 5*m - 2. Let r(f) = -3*f**2 + 4*f - 1. Let t be 1/(-5) - 24/5. Let c(x) = t*r(x) + 4*s(x). Factor c(d).
3*(d - 1)*(d + 1)
Suppose l + 3*l - d + 8 = 0, 5*l + 13 = 2*d. Let g be (-2*(-1)/l)/((-24)/36). Find i, given that 0 - i**g - 1/3*i**2 - 2/3*i**4 + 0*i = 0.
-1, -1/2, 0
Let m(j) = -6*j**2 + j + 71. Let w(h) = -h**2 - 3*h + 2. Let b(s) = -5*m(s) + 35*w(s). Find g, given that b(g) = 0.
-19, -3
Let c(s) be the third derivative of -s**6/30 + 97*s**5/15 - 2303*s**4/6 - 4802*s**3/3 + 18*s**2 + 14*s. Suppose c(y) = 0. Calculate y.
-1, 49
Suppose -b + 5*r = 4*r + 2, 0 = -3*b - r + 14. Let c(s) be the first derivative of 6 - 4*s**3 + 3*s**2 + b*s**3 - 3*s - 3. Suppose c(f) = 0. What is f?
1
Suppose 0 = 4*z - 14 - 2. Suppose -8*g**3 + 2*g**4 - g**z + 6*g**3 + 9*g - g - 4*g**2 = 0. What is g?
-2, 0, 2
Let d(k) be the third derivative of 2*k**7/105 + k**6/3 + 28*k**5/15 + 4*k**4 + 225*k**2. Let d(l) = 0. What is l?
-6, -2, 0
Let z be (-148)/(-12) - 2 - (-4)/(-3). Let -4*b + 20*b**3 - 13*b**3 - z*b**3 + 2*b**4 + b**5 + 5*b - 4*b**2 + 2 = 0. What is b?
-2, -1, 1
Let m = 9360 + -65510/7. Suppose -2/7*q**2 - m*q - 12/7 = 0. Calculate q.
-3, -2
Solve -1655*c**3 + 15 + 1650*c**3 + 8*c - 4*c + c - 15*c**2 = 0.
-3, -1, 1
Suppose -6 - 1 = -y - f, -3*y + 25 = 4*f. Let x = -84 - -91. Factor 2*w**2 + x*w - y*w**3 + w**3 - 4*w + w.
-2*w*(w - 2)*(w + 1)
Suppose -16*c - 11*c = 5*c. Let l(f) be the second derivative of -5/9*f**3 + 1/63*f**7 - 2/3*f**2 + 4/45*f**6 - 1/9*f**4 - f + c + 2/15*f**5. Factor l(h).
2*(h - 1)*(h + 1)**3*(h + 2)/3
Let q(t) = 3*t - 9. Let z be q(6). Let x(c) = c**3 - 10*c**2 + 8*c + 13. Let j be x(z). Factor -n**2 + 5*n**2 + j*n**2 + 2*n**3 - 4*n**3 - 8*n.
-2*n*(n - 2)**2
Let x be ((-88)/(-66))/(4/6) + (-4)/8. Factor 3/4*k**2 + x*k + 0.
3*k*(k + 2)/4
Let m(b) be the third derivative of -7*b**2 + 0 - 1/5*b**5 - 1/15*b**6 + 0*b - 1/12*b**3 - 3/16*b**4. Factor m(l).
-(l + 1)*(4*l + 1)**2/2
Factor -31*k - 105*k**2 + 209*k**2 - 105*k**2.
-k*(k + 31)
Factor 1/8*l**5 + 0 + 5/2*l**3 + l**4 + 2*l**2 + 0*l.
l**2*(l + 2)**2*(l + 4)/8
Suppose 4*m = -i - m + 11, 0 = -5*i - 5*m + 55. Suppose -y + 9 = 4*w, 0 = -2*w + 5*w + 5*y - i. Factor 4*x + 8 - x**4 - 5*x**3 - 3*x**w + x**2 - 4*x**2.
-(x - 1)*(x + 2)**3
Let z = 33241 - 33239. Determine l, given that -5/12*l**3 + 1/12*l**4 + 1/4*l**z + 5/12*l - 1/3 = 0.
-1, 1, 4
Let r(w) be the second derivative of -6/23*w**2 - 6 + 1/138*w**4 - 4*w - 1/69*w**3. Factor r(s).
2*(s - 3)*(s + 2)/23
Let v(r) be the third derivative of -r**6/300 - r**5/150 + 78*r**2. Factor v(l).
-2*l**2*(l + 1)/5
Let d(o) be the third derivative of -1/90*o**5 - 5/108*o**4 + 1/945*o**7 + 0*o - 2/27*o**3 + 0 + 27*o**2 + 1/540*o**6. Determine v so that d(v) = 0.
-1, 2
Let g be (-4)/(-16) - (-100)/240. Factor 1/3*h**2 + 0 + g*h.
h*(h + 2)/3
Let y(s) = 4*s**4 + 41*s**3 + 89*s**2 + 81*s + 24. Let i(x) = -x**4 + x**3 - x**2 + x - 1. Let f(j) = i(j) - y(j). Factor f(n).
-5*(n + 1)**3*(n + 5)
Let z(j) be the third derivative of j**8/112 - 5*j**7/42 + 2*j**6/3 - 2*j**5 + 10*j**4/3 - 8*j**3/3 + 10*j**2 + 6. Factor z(n).
(n - 2)**4*(3*n - 1)
Factor 21*b**2 + 45*b + 27 + 17*b - 3*b**3 + 7*b + 34*b - 148*b.
-3*(b - 3)**2*(b - 1)
Let h = -11901 + 11903. Factor -9/7*u**3 + 3*u**h + 0 - 6/7*u.
-3*u*(u - 2)*(3*u - 1)/7
Let x(o) be the third derivative of -3*o**7/280 - 11*o**6/160 - 3*o**5/40 + 3*o**4/8 + o**3 + 16*o**2 + 2. Find l, given that x(l) = 0.
-2, -2/3, 1
Let j be (-46 + (-5891)/(-129))/((-2)/12). Factor -18/11 + 6/11*t**j + 12/11*t.
6*(t - 1)*(t + 3)/11
Let w(q) be the first derivative of 22 + 760/3*q**3 + 79*q**4 - 288*q + 28/5*q**5 - 408*q**2. Factor w(m).
4*(m - 1)*(m + 6)**2*(7*m + 2)
Let n(k) be the first derivative of 1/21*k**6 + 1/14*k**4 - 7 - 6/35*k**5 - 2/7*k**2 + 2/7*k**3 + 0*k. Suppose n(b) = 0. Calculate b.
-1, 0, 1, 2
Factor d**2 + 2/3*d + 1/3*d**3 + 0.
d*(d + 1)*(d + 2)/3
Let k(i) = 12*i - 20. Let d be k(2). Let p(a) be the first derivative of 2/5*a**3 + 4/25*a**5 - 2 + 1/2*a**d - 2/5*a - 1/5*a**2. Factor p(c).
2*(c + 1)**3*(2*c - 1)/5
Let h(n) be the third derivative of 5*n**5/96 + 73*n**4/192 - n**3/8 - 126*n**2 + 2*n. Factor h(x).
(x + 3)*(25*x - 2)/8
Let v(n) = 234*n - 4909. Let o be v(21). Let -5*a**3 - 15/2*a**2 + o + 15/2*a = 0. Calculate a.
-2, -1/2, 1
Let q be (-13 + 1)/(-6 + 4). Suppose q = -0*o + o. Determine p so that 11/2*p**2 + 1/4 + 9/4*p**4 + 2*p + o*p**3 = 0.
-1, -1/3
Find x, given that -7*x + 122*x**2 - 240*x**2 + x**3 + 4 + 120*x**2 = 0.
-4, 1
Let m(g) be the third derivative of 0 + 0*g**3 - 7*g - 1/150*g**6 + 7/150*g**5 + 2*g**2 - 1/20*g**4. Factor m(o).
-2*o*(o - 3)*(2*o - 1)/5
Let j(q) be the third derivative of 4*q**7/105 + q**6/60 - 2*q**5/15 - q**4/12 - 273*q**2. Factor j(b).
2*b*(b - 1)*(b + 1)*(4*b + 1)
Solve -1734 - 1/6*v**2 - 34*v = 0.
-102
Suppose -4*a + 2*a = 5*w - 19, 3*a = -4*w + 18. Let 5*u**5 + 28*u**4 + 4*u**2 + 8*u**5 - 20*u**w - 25*u**5 = 0. Calculate u.
0, 1/3, 1
Let v(z) = -2*z**3 - 105*z**2 + 269*z - 328. Let q be v(-55). Factor -1/4*n**q + 1/4*n + 1/4 - 1/4*n**3.
-(n - 1)*(n + 1)**2/4
Let g(k) = 8*k**3 - 53*k**2 + 45*k + 51. Let t(n) = -3*n**3 + 18*n**2 - 15*n - 18. Let j(h) = 6*g(h) + 17*t(h). Find m such that j(m) = 0.
-5, 0, 1
Factor 61*j**3 - 78*j**3 - 34*j**2 + 4*j**4 + 12*j + 35*j**3.
2*j*(j - 1)*(j + 6)*(2*j - 1)
Let t(w) = w**2 - 4*w - 7. Let h be t(-2). Let m be (0 + -2)/((-35)/h - 0). Solve 0 - 2/7*p - m*p**2 = 0 for p.
-1, 0
Let a(t) be the third derivative of -t**7/1260 + t**6/405 - t**5/540 + t**3 - 21*t**2. Let i(f) be the first derivative of a(f). Factor i(u).
-2*u*(u - 1)*(3*u - 1)/9
Suppose -5*m - 4*v + 0 = 10, 3*m - 26 = 4*v. Factor 13*x**2 + 16 + 4*x - 4*x**3 - 4 - 25*x**m.
-4*(x - 1)*(x + 1)*(x + 3)
Let p = 898 - 898. Factor -1/2*u**3 + 0 - u**2 + p*u.
-u**2*(u + 2)/2
Suppose -5*h = 168*y - 162*y - 24, -3*h = 4*y - 16. Suppose 0 + 2/5*s**y - 2/5*s**2 + 0*s + 0*s**3 = 0. Calculate s.
-1, 0, 1
Let a(v) = 17*v**2 + 17*v - 1. Let w(m) = -26*m**2 - 26*m + 1. Let z(n) = -10*a(n) - 7*w(n). Factor z(h).
3*(2*h + 1)**2
Let f(x) be the first derivative of -5*x**6/6 - 5*x**5 - 45*x**4/4 - 35*x**3/3 - 5*x**2 + 89. Factor f(l).
-5*l*(l + 1)**3*(l + 2)
Let 14*n**2 + 0 - 24/5*n**3 + 2/5*n**4 - 48/5*n = 0. What is n?
0, 1, 3, 8
Let u = 3039/8 + -130443/344. Let a = u - -3/43. Factor -a*q - 3/4*q**2 + 0.
-3*q*(q