2. Let z be t/(-15)*6/8. Factor -2/5*y - 2/5*y**2 + 2/5 + z*y**3.
2*(y - 1)**2*(y + 1)/5
Let m be 50/(-24)*(52/5 + -11). Factor m*g**3 - 45/4*g**2 - 35/4 + 75/4*g.
5*(g - 7)*(g - 1)**2/4
Let y(w) be the second derivative of 17*w - 1/135*w**6 - 1/18*w**5 + 0*w**2 - 7/54*w**4 - 1/9*w**3 + 0. Factor y(n).
-2*n*(n + 1)**2*(n + 3)/9
Find n, given that 17*n**3 + 4*n - 18 - 34*n**4 + 31*n**3 + 18 - 26*n**2 + 8*n**5 = 0.
0, 1/4, 1, 2
Let x(w) be the second derivative of -w**6/120 + 29*w**5/20 - 541*w**4/8 - 1711*w**3/6 - 3481*w**2/8 + 9*w - 10. Factor x(f).
-(f - 59)**2*(f + 1)**2/4
Let s(h) be the second derivative of -5*h**7/42 - 7*h**6/6 + 522*h. Determine w so that s(w) = 0.
-7, 0
Let y = 385 - 382. Factor 4/7*a**2 - 2/7 - 2/7*a**5 - 2/7*a + 4/7*a**y - 2/7*a**4.
-2*(a - 1)**2*(a + 1)**3/7
Let q(o) be the first derivative of -2*o**3/3 + 178*o**2 - 15842*o - 372. Factor q(t).
-2*(t - 89)**2
Let x(y) be the second derivative of -y**4/12 - 5*y**3/6 + 3*y**2 + 7*y - 3. Factor x(g).
-(g - 1)*(g + 6)
Let y(g) = 2*g**2 - 2*g - 8. Let d(s) = -2*s**2 + 8. Let o(l) = -2*d(l) - 3*y(l). Factor o(n).
-2*(n - 4)*(n + 1)
Let b = 150 + -299/2. Let r(i) be the second derivative of 0*i**3 - i - b*i**2 + 0 + 1/12*i**4. Let r(s) = 0. What is s?
-1, 1
Let k = -81 - -56. Let n = 28 + k. Suppose -27*q - 18*q**2 - 5*q**n - 1/2*q**4 - 27/2 = 0. What is q?
-3, -1
Let q(v) be the first derivative of v**6/8 - 9*v**5/5 + 21*v**4/2 - 63*v**3/2 + 405*v**2/8 - 81*v/2 + 57. Factor q(o).
3*(o - 3)**3*(o - 2)*(o - 1)/4
Suppose k - 4 = -1. Solve -2*o + 3*o**5 + 5*o - 37*o**k + 31*o**3 = 0 for o.
-1, 0, 1
Let r(u) = 15*u**2 + 27*u + 12. Let z(a) = 189*a - 6 + 0 - 202*a - 7*a**2. Let w(s) = -4*r(s) - 9*z(s). Factor w(n).
3*(n + 1)*(n + 2)
Let c be (34 - 35)/(1/(-4) - 0). Factor -5/2*f**c - 3/2*f**2 + 0*f - 1/2*f**5 + 0 - 7/2*f**3.
-f**2*(f + 1)**2*(f + 3)/2
Let 3/4*u**2 + 3/2*u + 3/4 = 0. Calculate u.
-1
Let w(y) be the third derivative of 1/18*y**4 + 5*y**2 + 1/360*y**6 - 1/45*y**5 + 0*y**3 + 0 + 2*y. Suppose w(s) = 0. Calculate s.
0, 2
Let d(w) = -6*w - 24. Let n be d(-4). Let f(c) be the second derivative of -1/36*c**4 - 8*c + 0 + 0*c**3 + n*c**2 + 1/60*c**5. Determine g so that f(g) = 0.
0, 1
Suppose 3*t - 2*l - 24 = 0, 21 = -t + 2*t - 5*l. Let h = 8 - t. Solve -h*b**3 - 2*b**3 - 2*b - b**4 + 6*b**3 + b**2 = 0 for b.
-1, 0, 1, 2
Let -63/4*h - 31/2 - 1/4*h**2 = 0. Calculate h.
-62, -1
Let n(o) be the first derivative of o**3/4 - 19*o**2/8 - 7*o/2 - 120. Determine x so that n(x) = 0.
-2/3, 7
Let m(z) be the first derivative of 1/10*z**5 + 1/4*z**2 + 0*z - 1/8*z**4 - 1/6*z**3 + 28. Factor m(o).
o*(o - 1)**2*(o + 1)/2
Suppose -4*m + 35 = 11. What is g in -2*g**5 + 12*g**3 + m*g**4 - 30*g**3 + 6*g**3 + 8*g**3 = 0?
0, 1, 2
Let t(s) be the first derivative of -s**4/24 + 4*s**3/9 - 4*s**2/3 - 372. Let t(h) = 0. Calculate h.
0, 4
Factor -160*j**3 + 703 + 176*j**2 - 237 - 234 + 28*j**4 - 232 + 4*j**5.
4*j**2*(j - 2)**2*(j + 11)
Let a(i) be the second derivative of -2*i**6/15 + 9*i**5/10 - 11*i**4/16 + i**3/6 - 52*i. What is f in a(f) = 0?
0, 1/4, 4
Let t(l) be the second derivative of l**4/24 - 4*l**3/3 + 16*l**2 - 18*l. Factor t(s).
(s - 8)**2/2
Let d(f) = f**2 - f + 1. Let b be (8/(-10))/(12/30). Let o(i) = 3*i**2 + 2*i + 6. Let k(t) = b*d(t) + o(t). Let k(a) = 0. What is a?
-2
Factor 3*t**3 + 3/2*t + 4*t**2 + 0*t**4 - 1/2*t**5 + 0.
-t*(t - 3)*(t + 1)**3/2
Determine w so that 0 + 10/7*w**3 - 2*w**4 + 4/7*w**2 + 0*w = 0.
-2/7, 0, 1
Let k(c) = 17*c - 303. Let v be k(18). Let i(n) be the second derivative of n**2 + 0 + n**v - 7/40*n**5 - 4*n - 3/8*n**4. Determine h, given that i(h) = 0.
-2, -2/7, 1
Let w(t) be the first derivative of -t**6/360 + 3*t**5/20 - 27*t**4/8 - 11*t**3/3 - 38. Let q(h) be the third derivative of w(h). Factor q(k).
-(k - 9)**2
Suppose 268 = 2*x + 260. Let h(l) be the second derivative of -3/20*l**5 + x*l + 0*l**2 + 1/4*l**4 + 0*l**3 + 0. Factor h(u).
-3*u**2*(u - 1)
Let r(d) = d**3 + 4*d**2 + d + 6. Let x be r(-4). Let v be (2 + 11/(-9))*(-16)/(-56). Let 0 + v*z**3 + 2/9*z**x - 4/9*z = 0. What is z?
-2, 0, 1
Suppose -432 = -5*s - 141*s - 70*s. Let -1/5*t**s + 13/5*t + 14/5 = 0. Calculate t.
-1, 14
Solve -4/17*q**3 + 240/17*q - 22/17*q**4 + 184/17*q**2 - 2/17*q**5 + 0 = 0.
-10, -2, 0, 3
Let x(j) be the third derivative of j**6/10 + 33*j**5/20 + 7*j**4 + 6*j**3 + 108*j**2 + j. Determine m so that x(m) = 0.
-6, -2, -1/4
Suppose 0 = 4*v + 28 - 4. Let g be (-18)/v + (0 - -1). Suppose 6*r**2 - 14*r**4 + 15*r + 6 - 12*r**3 - 4*r**5 + r**5 + r**4 + r**g = 0. Calculate r.
-2, -1, 1
Let c(n) be the first derivative of n**6/12 + 7*n**5/10 - 27*n**4/8 + 29*n**3/6 - 5*n**2/2 + 73. Factor c(v).
v*(v - 1)**3*(v + 10)/2
Let s(l) be the third derivative of 0*l**4 + 2/5*l**7 + 0 + 11/5*l**5 - 5/3*l**6 - 12*l**2 + 0*l - 8/3*l**3. Find o, given that s(o) = 0.
-2/7, 2/3, 1
Suppose -2*n = -0 + 2, 4*s - 3*n - 11 = 0. Let v = 117 + -233/2. Factor 1/2*i**s + 0*i - v.
(i - 1)*(i + 1)/2
Factor -15*r**2 - 21*r**4 + 7*r - 7*r + r**3 - 3*r**5 - 34*r**3.
-3*r**2*(r + 1)**2*(r + 5)
Let j = 637/4796 - 12/109. Let g(l) be the third derivative of 1/660*l**6 - 2*l**2 + 0*l + 0*l**3 + 0 - 2/165*l**5 + j*l**4. Determine d, given that g(d) = 0.
0, 1, 3
Let x(c) = -7*c**2 + 25*c - 9. Let g(u) = 4*u**2 - 13*u + 5. Let p(s) = -11*g(s) - 6*x(s). Let m be p(-3). Suppose 2/3*v - 2/3*v**m + 0 = 0. Calculate v.
0, 1
Factor -2/7*r**2 + 32 - 48/7*r.
-2*(r - 4)*(r + 28)/7
Let l be (-2)/(-18)*6*(-498)/(-16). Let o = 21 - l. Factor -3/4*x - o - 1/2*x**2.
-(x + 1)*(2*x + 1)/4
Let r(o) be the first derivative of -3*o**5/40 + 39*o**4/4 - 363*o**3 + 1950*o**2 - 3750*o + 322. What is j in r(j) = 0?
2, 50
Let q(m) be the third derivative of -m**5/12 - 25*m**4/3 - 190*m**3/3 + 13*m**2 + 2. Factor q(n).
-5*(n + 2)*(n + 38)
Find t, given that -24*t + t**3 - 2*t**3 - 32 - 2*t**3 + 12*t**2 + 7*t**3 = 0.
-4, -1, 2
Let j = 85975/7 + -12282. Determine r so that -5/7*r + 3/7 + 1/7*r**3 + j*r**2 = 0.
-3, 1
Let h(a) be the first derivative of a**6/360 - a**5/30 + a**4/6 - 2*a**3/3 + 11. Let t(c) be the third derivative of h(c). Factor t(m).
(m - 2)**2
Suppose -2*s + 102 = -4*v, 4*s - 217 = 5*v - 16. Let n = 51 - s. What is o in 0 + 1/4*o**n + 1/4*o = 0?
-1, 0
Let y(x) be the third derivative of 9*x**7/175 - 13*x**6/100 + 4*x**5/45 - x**4/45 + x**2 - 72*x. Factor y(i).
2*i*(i - 1)*(9*i - 2)**2/15
Suppose 8*z + 319 = 335. Let b(l) be the second derivative of -5/6*l**3 + 0*l**z + 5/12*l**4 + 0 + 11*l. Suppose b(j) = 0. Calculate j.
0, 1
Let x(u) be the third derivative of -1/16*u**4 + 19*u**2 + 0*u + 0 + 1/160*u**5 - 5/16*u**3. Factor x(n).
3*(n - 5)*(n + 1)/8
Let p(f) be the third derivative of -f**6/480 + f**4/32 - 7*f**3/6 + 26*f**2. Let j(z) be the first derivative of p(z). Factor j(b).
-3*(b - 1)*(b + 1)/4
Let r(v) be the first derivative of -45*v**4/4 - 610*v**3 - 1205*v**2/2 - 200*v + 105. Factor r(l).
-5*(l + 40)*(3*l + 1)**2
Factor -45*c + 6*c**4 - 18 + 66*c - 24*c**3 - 4*c**2 + 4*c**2 + 6*c**2 + 6 + 3*c**5.
3*(c - 1)**3*(c + 1)*(c + 4)
Let g(p) be the third derivative of p**7/350 - 12*p**6/25 + 141*p**5/50 - 7*p**4 + 93*p**3/10 - 244*p**2. Factor g(y).
3*(y - 93)*(y - 1)**3/5
Let n be (-12)/(-36) + (-142)/(-6). Let a = n + -22. Factor 22/3*i**a + 4/3*i + 0 + 6*i**3.
2*i*(i + 1)*(9*i + 2)/3
Let u(j) = 5*j**2 - 3*j - 4. Let s(l) = 6*l**2 - 4*l - 5. Let f(x) = x**2 + 12*x + 17. Let w be f(-10). Let p(h) = w*u(h) + 2*s(h). Factor p(z).
-(z - 1)*(3*z + 2)
Let y be (207/(-345))/(18/(-4)). Factor y*h**4 + 2/15 + 0*h**3 + 0*h - 4/15*h**2.
2*(h - 1)**2*(h + 1)**2/15
Find z such that -4/13*z**2 - 512/13*z**5 - 960/13*z**4 + 0 + 126/13*z**3 + 0*z = 0.
-2, 0, 1/16
Let k = 27 - 10. Suppose -15*l + k + 13 = 0. Factor 0 + 2/3*y**4 + 0*y**l - 1/3*y**5 + 0*y + 0*y**3.
-y**4*(y - 2)/3
Suppose 14 = 4*p - 2*p + 2*s, -2*p = 4*s - 20. Suppose -14 = -5*a + p*o, -2*a = -4*o - 11 + 3. Factor 5*g + 7 + 14*g**a - 3*g - 4 - 15*g**2.
-(g - 3)*(g + 1)
Let r(b) be the first derivative of 3*b**5/10 - 7*b**4/4 - 23*b**3/6 - 3*b**2/2 - 76. Factor r(d).
d*(d - 6)*(d + 1)*(3*d + 1)/2
Let u be (-10)/(-25) - 108/(-5). Suppose 5*r - 3 = u. Factor 10*d**4 + 2 + 20*d**2 + 10*d + 20*d**3 - 2 + 2*d**r + 2.
2*(d + 1)**5
Let l(h) be the first derivative of h**6/120 + h