*(n + 2)**3/3
Let h = 9547 + -105013/11. Solve 0*d - h*d**2 + 0 + 2/11*d**3 = 0 for d.
0, 2
Let j = 1412 + -151082/107. Let k = j + 418/535. Determine g, given that -k*g + 0 + 2/5*g**2 = 0.
0, 2
Let f(z) be the second derivative of z**7/8820 + z**6/1260 - z**5/140 - 11*z**4/3 - 9*z. Let q(p) be the third derivative of f(p). Solve q(w) = 0 for w.
-3, 1
Let c(o) be the second derivative of 26*o**7/147 + 2*o**6/7 - 9*o**5/5 + 29*o**4/21 + 4*o**3/7 - 33*o. Solve c(z) = 0 for z.
-3, -2/13, 0, 1
Let i(k) be the first derivative of -k**4/2 + 22*k**3 + k**2 - 66*k - 985. Suppose i(x) = 0. Calculate x.
-1, 1, 33
Let n(b) be the first derivative of b**6/90 - b**5/60 - 2*b - 1. Let o(s) be the first derivative of n(s). Factor o(x).
x**3*(x - 1)/3
Suppose -y - 2*y = 3*l, -2*l - y = -2. Let u be ((l - -1) + -1)/6. Factor -u*d**2 - 2/3*d - 1/3.
-(d + 1)**2/3
Let d(b) = -5*b**3 - 8*b**2 + 5*b - 1. Let j(t) = -t**3 - 876*t**2 + 0*t**3 + 874*t**2 + t. Suppose 2*o - 2 - 2 = 0. Let k(i) = o*d(i) - 9*j(i). Factor k(g).
-(g - 2)*(g - 1)*(g + 1)
Factor 15*w + 53*w + 26*w - 32*w + 15*w**2 + 48*w - 80.
5*(w + 8)*(3*w - 2)
Suppose -186*s + 182*s = -20. Let q(b) be the first derivative of 1/10*b**5 - 1/4*b**2 + 1/6*b**3 + s + 7/24*b**4 - 1/3*b. Factor q(w).
(w + 1)**3*(3*w - 2)/6
Let v(t) be the first derivative of -7/4*t**4 + 12*t + 16 + 31/3*t**3 - 20*t**2. Determine w so that v(w) = 0.
3/7, 2
Let u(p) be the first derivative of p**8/1008 - p**7/126 + 7*p**6/360 - p**5/60 - 2*p**2 - 8. Let t(q) be the second derivative of u(q). Factor t(s).
s**2*(s - 3)*(s - 1)**2/3
Find t such that 70*t**4 + 740*t + 1986*t**3 + 730*t**2 + 5*t**5 - 3964*t**3 + 2313*t**3 + 280 = 0.
-7, -2, -1
Let u(o) be the second derivative of -o**6/150 + 5*o**5/4 - 861*o**4/10 + 11466*o**3/5 + 37044*o**2/5 - 170*o. Solve u(j) = 0.
-1, 42
Let d = -2642/3 + 872. Let w = d + 12. Suppose -8/3*n**2 - 4/3 + 2/3*n**3 + w*n = 0. Calculate n.
1, 2
Let v(y) be the first derivative of y**6/3 + 34*y**5/5 + 115*y**4/2 + 258*y**3 + 648*y**2 + 864*y + 271. Factor v(d).
2*(d + 3)**3*(d + 4)**2
Let w be ((-12)/5)/(721/(-140) - -5). Let a = 18 - w. Suppose 3/2*k**3 + 0 + 0*k + 3/2*k**a = 0. Calculate k.
-1, 0
Let s be (((-1554)/112)/37)/((-14)/16). Determine j so that -27/7*j**3 - 18/7*j**4 + 0*j + 0*j**2 + 0 - s*j**5 = 0.
-3, 0
Let n = 1891 - 2647. Let l be (-1)/7 + (-297)/n - -1. Factor 5/2*i**2 - 5/2 + 5/4*i - l*i**3.
-5*(i - 2)*(i - 1)*(i + 1)/4
Let z(m) be the second derivative of -5*m**6/24 + m**5/8 + m**4/2 - 5*m**3/12 + m**2/8 + 3*m - 53. Suppose z(n) = 0. Calculate n.
-1, 1/5, 1
Let l be (272/51 + 2/(-6))/1. Let z = -12 + 21. Let -3*o**2 - o + 2*o**2 - z - l*o = 0. Calculate o.
-3
Let c(o) be the third derivative of o**5/240 - 5*o**4/48 - 11*o**3/24 + 40*o**2 + 2. Factor c(z).
(z - 11)*(z + 1)/4
Let r = 22 + -19. Factor -2*w**2 - 5*w**2 - 23*w**2 + 2*w**3 + 3*w**r.
5*w**2*(w - 6)
Let j = 146 - 47. What is x in 10*x**2 - 3*x**2 - 108*x + j*x + 3 - 1 = 0?
2/7, 1
Let m be (-1)/5*10/(-24). Let f(h) be the first derivative of -m*h**4 + 4/9*h**3 + 9 - 5/6*h**2 + 2/3*h. Factor f(c).
-(c - 2)*(c - 1)**2/3
Suppose -4*x = 13*x - 13*x + 16*x. Factor -4/5*m + x + 2/5*m**2.
2*m*(m - 2)/5
Let w(r) be the second derivative of -5*r**4/6 + 14*r**3 - 16*r**2 + 95*r - 1. Factor w(b).
-2*(b - 8)*(5*b - 2)
Factor -a**2 + 2*a**3 - 9186*a**4 - a + 9187*a**4 - a**3.
a*(a - 1)*(a + 1)**2
Let g(r) = 5*r**2 - r + 2. Let p(l) = -6*l**2 - 6. Let d(z) = 5*g(z) + 4*p(z). Factor d(m).
(m - 7)*(m + 2)
Let k(c) be the third derivative of -c**7/490 - c**6/140 + c**5/140 + c**4/28 - 14*c**2 - 4*c. Suppose k(w) = 0. Calculate w.
-2, -1, 0, 1
Factor -16/5*x - 2/5*x**4 + 12/5*x**2 + 6/5 + 0*x**3.
-2*(x - 1)**3*(x + 3)/5
Factor -8/5*x**3 + 2/5*x**4 + 6/5*x**2 + 0 + 0*x.
2*x**2*(x - 3)*(x - 1)/5
Let h = -125 + 128. Let m(z) be the first derivative of -4/7*z**2 + 2/21*z**h - 5 + 8/7*z. Suppose m(d) = 0. Calculate d.
2
Let w(n) be the first derivative of 18 + 12*n + 42*n**3 - 26*n**3 - 17*n**3. Factor w(h).
-3*(h - 2)*(h + 2)
Let q be -6 + (-152)/(-96)*4. Solve -8/3*u - q*u**2 - 16/3 = 0 for u.
-4
Suppose 0 = 2*i - 4*d - 4, -3*d + 248 - 240 = 4*i. Let t(f) be the second derivative of f**4 + 5/2*f**3 + 3*f**i + 3/20*f**5 + 0 - 10*f. Factor t(w).
3*(w + 1)**2*(w + 2)
Let n(p) be the third derivative of 0 + 1/30*p**5 + 0*p**6 + 1/18*p**4 - 31*p**2 + 0*p + 0*p**3 - 1/315*p**7. Factor n(v).
-2*v*(v - 2)*(v + 1)**2/3
Let o(q) be the first derivative of 3/4*q**4 + 4*q**3 - 28 + 0*q + 1/20*q**5 + 8*q**2. Factor o(t).
t*(t + 4)**3/4
Let f(w) be the second derivative of -1/3*w**3 + 1/18*w**4 + 0 + 2/3*w**2 - 13*w. Determine u, given that f(u) = 0.
1, 2
Let o(k) be the first derivative of 2*k**6/9 - 56*k**5/15 + 23*k**4 - 560*k**3/9 + 200*k**2/3 + 408. Suppose o(b) = 0. Calculate b.
0, 2, 5
Let i = 6 + -4. Suppose 1077 = 270*u + 89*u. Solve 0 - 2/3*b - 14/3*b**u - 10/3*b**i - 2*b**4 = 0.
-1, -1/3, 0
Let 0*a**4 + 49*a**2 + 8175*a + 35*a**3 + a**5 - 13*a**4 - 8175*a = 0. What is a?
-1, 0, 7
Let l be (4 + (-90)/24)/((-2)/(-2)). Solve 0 - 3/4*p**2 - 1/2*p - l*p**3 = 0.
-2, -1, 0
Let r(j) = -13 - 12*j - j**2 + 1 + 1 + 6*j. Let g(z) = 2*z**2 + 12*z + 23. Let i(u) = -3*g(u) - 7*r(u). Solve i(x) = 0 for x.
-4, -2
Let n = 2287/90 - 226/9. Find s such that 3/5*s**3 - 1/10*s**4 + 1/5*s**2 - 1/10 - n*s - 3/10*s**5 = 0.
-1, -1/3, 1
Suppose 3600/7 + 332/7*l**3 + 508*l**2 + 4/7*l**5 + 960*l - 100/7*l**4 = 0. What is l?
-2, -1, 15
Suppose 0 = 5*t - 2 - 8. Factor -3*d - 2*d**4 - 10*d**3 - 7*d - 4*d - 4 - 12*d**t - 6*d**2.
-2*(d + 1)**3*(d + 2)
Let l(h) be the third derivative of -h**5/30 - 19*h**4/6 + 13*h**3 - 5*h**2 + 8. Suppose l(g) = 0. What is g?
-39, 1
Let q be (10/(-15))/((-2)/(-15)). Let v(w) = 2*w**2 + 7*w + 5. Let n(i) = -i**2 - 4*i - 3. Let g(p) = q*n(p) - 3*v(p). Determine h so that g(h) = 0.
-1, 0
Solve 68/5 - 1/5*i**2 - 13/5*i = 0 for i.
-17, 4
Let c(r) be the second derivative of -r**7/7560 - r**6/2160 + r**5/180 + 7*r**4/4 + 5*r. Let d(g) be the third derivative of c(g). Factor d(h).
-(h - 1)*(h + 2)/3
Let l be 10/(-55) - 18/22. Let z be -4*l/2 + 1. Factor 0 + 8*x**2 - z*x**2 + 8*x - 4.
(x + 2)*(5*x - 2)
Let a = -90 + 94. Let k(u) be the third derivative of -1/360*u**6 + 0*u + 0*u**3 + 1/36*u**a - 1/180*u**5 + 4*u**2 + 0. Let k(s) = 0. Calculate s.
-2, 0, 1
Let m be (-2 + -28)*(-6)/10 - 0. Let c be 45/7 + (-5)/(210/m). Factor c + 4*h + 2/3*h**2.
2*(h + 3)**2/3
Let u(k) = -46*k + 644. Let j be u(14). Let b(m) be the second derivative of -7*m - 7/60*m**5 + j + 0*m**2 + 1/18*m**4 + 0*m**3. Factor b(l).
-l**2*(7*l - 2)/3
Let z(n) be the second derivative of n**7/1050 - n**6/200 + n**5/100 - n**4/120 + 17*n**2/2 - 5*n. Let y(q) be the first derivative of z(q). Factor y(t).
t*(t - 1)**3/5
Let j be ((-98)/49)/(4/(-10)*10/6). Factor 56/9*o - 6*o**4 - 6*o**j + 4*o**2 + 16/9.
-2*(o - 1)*(3*o + 2)**3/9
Let o = 10 - 10. Let i be -2*(-1)/(-2) + o. Let g(s) = s**2. Let r(z) = 15*z**2 + 21*z + 6. Let d(c) = i*r(c) + 6*g(c). Factor d(f).
-3*(f + 2)*(3*f + 1)
Let d(l) be the first derivative of 3*l**5/5 + 9*l**4/4 - 3*l**3 - 33*l**2/2 - 18*l - 125. Solve d(f) = 0.
-3, -1, 2
Let g(n) be the second derivative of -5*n**4/12 + 35*n**3/6 + 45*n**2 - n - 71. Factor g(b).
-5*(b - 9)*(b + 2)
Let -4/3*x**2 - 2/3*x**3 + 0 + 16/3*x = 0. What is x?
-4, 0, 2
Determine g, given that 150*g + 37*g + 203*g + 5*g**2 = 0.
-78, 0
Suppose -539 = 4*p - 2*s - 105, s - 327 = 3*p. Let d = -105 - p. Suppose 14/11*i**4 + 0 + 10/11*i**3 + 2/11*i**2 + 0*i + 6/11*i**d = 0. Calculate i.
-1, -1/3, 0
Let u(a) = -7*a**3 - a**2 - 8*a + 8. Let w(i) = -9*i**3 - 9*i + 5. Let f(p) = 5*u(p) - 4*w(p). Suppose f(k) = 0. Calculate k.
-2, 2, 5
Determine f, given that 140/3*f - 5/3*f**3 - 20*f**2 + 0 = 0.
-14, 0, 2
Suppose 863*d = 864*d - 7. Let m(s) be the third derivative of 5/48*s**4 - d*s**2 + 0 + 1/30*s**5 + 1/240*s**6 + 0*s + 1/6*s**3. Factor m(z).
(z + 1)**2*(z + 2)/2
Let j(o) = -9*o**2 - 25*o - 22. Let z(i) = 19*i**2 + 50*i + 42. Let g(d) = 9*j(d) + 4*z(d). Factor g(t).
-5*(t + 2)*(t + 3)
Let v = -41 - -44. Let k(x) be the first derivative of -3/2*x**4 - 12*x**2 + 1/2*x**6 + 3 + 0*x - 12*x**v + 9/5*x**5. Factor k(s).
3*s*(s - 2)*(s + 1)*(s + 2)**2
Let u(s) = -s**2 - 6*s + 116. Let w be u(-14). Let h(z) be the