 be the second derivative of -i**4/27 + 14*i**3/9 - 76*i**2/9 + 80*i. Factor d(q).
-4*(q - 19)*(q - 2)/9
Let a(d) = 2*d**4 - 6*d**3 + 12*d**2 + 18*d + 8. Let j(r) = 14*r**4 - 37*r**3 + 75*r**2 + 109*r + 48. Let m(z) = -13*a(z) + 2*j(z). Factor m(g).
2*(g - 2)*(g + 1)**2*(g + 2)
Let l be (24/(-10))/(9/(-30)). Suppose 2*t - 8 + 2 = 0. Factor 12*v**3 + 26*v**4 - 8*v**2 + 2*v**5 + l*v**t + 5*v**5.
v**2*(v + 2)**2*(7*v - 2)
Let r(n) = -n**2 - 14*n - 34. Suppose 4*t = -3*y - 9, 0*t - 5*y = 5*t + 5. Let g(i) = -i + 1. Let u(o) = t*g(o) + 3*r(o). Factor u(s).
-3*(s + 6)**2
Let v = 124 - 114. Find u, given that -v*u**3 - 8 - 10*u**3 + 20*u**2 + 2*u - 12*u**4 + 18*u = 0.
-2, -1, 1/3, 1
Let q(r) be the third derivative of r**5/12 - 5*r**4/6 + 5*r**3/2 - 6*r**2 - 6. Factor q(y).
5*(y - 3)*(y - 1)
Let a be 1/5 + 874/230. Let c(j) be the first derivative of -3 - 36*j - 28/3*j**3 + j**a + 30*j**2. Solve c(o) = 0.
1, 3
Let d(i) be the third derivative of -1/120*i**6 + 1/20*i**5 - 1/3*i**3 + 0 + 0*i - 24*i**2 - 1/210*i**7 + 1/24*i**4. Factor d(u).
-(u - 1)**2*(u + 1)*(u + 2)
Let x(z) = 5*z**2 + 1. Let b be ((-2)/(-4))/((-1)/(-2)). Let s be x(b). Let -3*j**4 - s*j**3 + 9 + 18*j**2 + 6*j**3 + 21*j + 3*j = 0. Calculate j.
-1, 3
Find a, given that -1/5*a**4 + 8/5*a**3 + 20*a + 52/5 + 57/5*a**2 = 0.
-2, -1, 13
Let p(k) be the second derivative of -7*k + 0*k**6 + 0*k**3 - 1/15*k**4 - 3/50*k**5 + 0*k**2 + 1/105*k**7 + 0. Factor p(d).
2*d**2*(d - 2)*(d + 1)**2/5
Let g be 2*(-1)/(-2) - (-16 - -15). Let z(k) be the second derivative of -1/8*k**4 - 3/40*k**5 + 0 + 0*k**3 + 0*k**2 + g*k. Solve z(t) = 0 for t.
-1, 0
Let q(n) be the first derivative of -n**6/900 + n**5/150 - n**4/60 - 10*n**3/3 - 17. Let b(t) be the third derivative of q(t). Factor b(j).
-2*(j - 1)**2/5
Let s = 2387 - 2385. Let i be (6/4)/(6/16). Let -14/5*q**3 + 8/5 + 2/5*q**s - 2*q**i + 16/5*q - 2/5*q**5 = 0. Calculate q.
-2, -1, 1
Suppose 3*d = 4*d - 5*v - 82, -227 = -3*d - 4*v. Let p be (-22)/d + 60/14. Factor 4*j**5 - 2*j**5 - j**4 + 3*j**p - 3*j**3 + j**3 - 2*j**2.
2*j**2*(j - 1)*(j + 1)**2
Let d(z) be the second derivative of 5*z**7/1008 - z**6/48 + z**5/30 - z**4/36 + 23*z**3/6 + 34*z. Let f(w) be the second derivative of d(w). Factor f(q).
(q - 1)*(5*q - 2)**2/6
Determine w, given that 150 - 39*w**2 + 21*w**3 + 681*w**2 + 6*w**3 - 819*w = 0.
-25, 2/9, 1
Let a(y) = -4*y**2 - 17*y + 8. Let h(g) = -2*g**2 - 8*g + 4. Let n(b) = -6*a(b) + 13*h(b). Solve n(r) = 0.
-2, 1
Suppose 0 = 4*j - 2*s - 398, 39 - 125 = -j - 4*s. Let a = j + -96. Find n, given that 2/3*n**a - 4/3*n - 2 = 0.
-1, 3
Let i(s) be the first derivative of 1/3*s**3 - 8*s + 0*s**2 + 1 + 1/6*s**4. Let n(l) be the first derivative of i(l). Factor n(j).
2*j*(j + 1)
Let n(m) = -m**2 - 5*m + 4. Let j(o) = -o**2 - 4*o + 5. Let c = 84 - 89. Let g(r) = c*n(r) + 4*j(r). What is i in g(i) = 0?
-9, 0
Let u(c) be the first derivative of -4/3*c**3 - 5/4*c**2 - 1/8*c**4 + 25*c + 1. Factor u(t).
-(t - 2)*(t + 5)**2/2
Suppose -24 = -0*n + n. Let o = n + 28. Factor -3*t**o + 109*t**2 - 6*t**3 - 109*t**2.
-3*t**3*(t + 2)
Let k(d) = -d**3 - 7*d**2 - 7*d + 1. Let a be k(-6). Let h(j) be the second derivative of 2/3*j**3 + 1/12*j**4 + 0 + 2*j**2 + a*j. Factor h(b).
(b + 2)**2
Determine x, given that -4860*x**5 - 32*x**2 - 757*x**4 + 27 + 3936*x**3 - 854*x**4 - 448*x + 37 - 290*x**4 + 497*x**4 = 0.
-1, -2/5, 2/9, 2/3
Let g be (1 - 13)*((-4)/(-6) + -1). Solve 3*h**3 + 10*h**2 + 19*h**2 + 13*h**3 - 9*h**2 + 4*h**g + 8*h = 0.
-2, -1, 0
Let b(q) be the second derivative of -3*q + 0 - 1/84*q**4 - 1/7*q**2 - 1/14*q**3. Suppose b(r) = 0. Calculate r.
-2, -1
Let g(f) = 21*f**3 - 36*f**2 - 141*f + 15. Let b = -39 - -24. Let p(y) = -3*y**3 + 5*y**2 + 20*y - 2. Let v(m) = b*p(m) - 2*g(m). Factor v(d).
3*d*(d - 3)*(d + 2)
Let u = 13 - 9. Factor -8*v**u - 10*v + v**5 + 6*v + 8*v**2 + 3*v**5.
4*v*(v - 1)**3*(v + 1)
Factor -1/9*s**5 + 0 - 4/9*s**4 + 0*s**2 + 0*s + 5/9*s**3.
-s**3*(s - 1)*(s + 5)/9
Let t(p) be the third derivative of p**5/480 - p**4/192 - 5*p**3/12 + 4*p**2 + 1. Solve t(q) = 0 for q.
-4, 5
Find n such that 9*n**3 + 11*n**5 + 4*n**5 - 12*n + 0*n - 9*n**4 + 42*n**4 - 21*n**2 = 0.
-1, 0, 4/5
Let n(q) be the third derivative of q**7/420 - q**6/60 - q**3/6 + 10*q**2. Let f(l) be the first derivative of n(l). Factor f(g).
2*g**2*(g - 3)
Let n(s) = 35*s - 1470. Let r be n(42). What is y in -6/5*y**2 + 0*y**3 + 2/5*y**4 + r + 4/5*y = 0?
-2, 0, 1
Let l = 15361/60 - 256. Let j(f) be the second derivative of 0 - 1/18*f**3 + 0*f**2 + 0*f**4 - 5*f + l*f**5. Factor j(o).
o*(o - 1)*(o + 1)/3
Let z(a) = -51*a**3 - 81*a**2. Let d(j) = 5*j**3 + 8*j**2. Suppose 14 = 9*t - 2*t. Let r(n) = t*z(n) + 21*d(n). Factor r(b).
3*b**2*(b + 2)
Suppose -k = -2*i + 9, 0 = 4*i + 2*k + k + 7. Suppose 12*a**2 - 4*a**3 + 0*a**i - a - 4*a - 3*a = 0. Calculate a.
0, 1, 2
Let d(l) be the third derivative of -1/20*l**5 + 0 + 0*l - 27*l**2 + 0*l**3 + 1/4*l**4. Let d(s) = 0. What is s?
0, 2
Suppose -16*b + 52 + 28 = 0. Let n(g) be the second derivative of 0 - 2*g - 1/3*g**3 + 0*g**2 - 1/3*g**4 - 1/10*g**b. Suppose n(o) = 0. Calculate o.
-1, 0
Let d = 137/492 - -9/164. Determine l, given that 1/6*l**2 + d - 1/2*l = 0.
1, 2
Suppose -23*u = 29*u + 133*u. Determine o so that u + 0*o - 2/23*o**3 + 6/23*o**2 = 0.
0, 3
Let h(w) = -18*w**3 + w**2 + w - 1. Let q be h(1). Let u = -13 - q. Factor -9*l**4 - 2*l**4 + 5*l**4 + 3*l**3 + u*l**5 - l**5.
3*l**3*(l - 1)**2
Let x(u) be the second derivative of u**5 - 118*u**4/3 + 344*u**3/3 + 176*u**2 - 479*u. Suppose x(z) = 0. What is z?
-2/5, 2, 22
Let f(h) be the second derivative of -1/189*h**7 + 2/9*h**4 + 0*h**2 - 4/27*h**3 + 2/45*h**6 + 0 + h - 13/90*h**5. Factor f(n).
-2*n*(n - 2)**2*(n - 1)**2/9
Factor -85 - 392*d + 5*d**2 + 0 + 312*d.
5*(d - 17)*(d + 1)
Let z(o) = -6*o**3 + 3*o + 2. Let q be z(-1). Suppose 0 = -2*i + 3*k + 13, -43 = -i - i - 3*k. Factor 5*t**5 - i*t**q + 0*t**3 + 0*t**4 - t**3 - 6*t**4.
-t**3*(3*t + 1)**2
Let j(t) be the second derivative of -5/18*t**4 + 8*t - 1/20*t**5 - 1/3*t**2 - 1/2*t**3 + 0. Determine i, given that j(i) = 0.
-2, -1, -1/3
Let j(b) = -b**3 + 4*b**2 + 12*b. Let q be j(6). Find y such that -8*y**3 - 10*y**2 + 5*y**3 + 14*y + q - 6 + 5*y**3 = 0.
1, 3
Suppose 0 = -5*j + c + 13, -3047*c = -3049*c + 4. Find v, given that 8/13 - 8/13*v**2 - 2/13*v**j + 2/13*v = 0.
-4, -1, 1
Suppose 14*k = 9*k + 10. Factor -159*a**k + 130*a + 714 - 186 + 164*a**2 + 317.
5*(a + 13)**2
Let z(s) = s**2 - 4*s + 2. Let v be (-17)/(4/(-3) - -1). Let w = 166 - 172. Let y(q) = 9*q**2 - 33*q + 17. Let g(m) = v*z(m) + w*y(m). Factor g(t).
-3*t*(t + 2)
Let -152*z**3 + 4*z**4 + 2498*z**2 - 14*z**4 - 2528*z**2 = 0. Calculate z.
-15, -1/5, 0
Let d = 0 - -9. Find r, given that -73*r - 3*r**2 + 7*r**3 + 75*r + 3*r**4 - d*r**3 = 0.
-1, 0, 2/3, 1
Solve -2/11*j**4 + 72/11*j - 16/11*j**3 + 72/11 - 14/11*j**2 = 0 for j.
-6, -3, -1, 2
Let z be 2 - (5 + -5)/(2/(-1)). Factor -z*x**2 - 2*x + 7*x**4 + 2*x**3 + 4*x**4 - 9*x**4.
2*x*(x - 1)*(x + 1)**2
Let k(x) = -29*x - 32 + 244*x + 240*x**2 - 3. Let v(z) = -20*z**2 - 18*z + 3. Let d(i) = 3*k(i) + 35*v(i). Factor d(o).
5*o*(4*o + 3)
Let j be -2*1/(-2)*(13 + 1). Suppose -3*o**2 + j*o**4 + 3*o**3 + 3*o**4 + o - 30*o**4 + 12*o**4 = 0. Calculate o.
0, 1
Factor 13*v**2 - 62*v**2 + 29*v - 4*v**3 + 20*v**2 + 17*v**2 + 320 + 67*v.
-4*(v - 5)*(v + 4)**2
Let f(y) = y**2 - 15*y - 53. Let u be f(18). Let l be 52/u*-1*6/(-108). Factor -32/9*v - 2/3*v**3 + l*v**2 + 8/9.
-2*(v - 2)**2*(3*v - 1)/9
Let r(t) be the third derivative of 0 + 0*t**4 + 9*t**2 + 0*t + 8/3*t**3 - 1/15*t**5. Factor r(g).
-4*(g - 2)*(g + 2)
Let l = -236 + 236. Let u(q) be the third derivative of -1/24*q**5 + l*q**3 + 4*q**2 + 0 + 0*q - 1/24*q**4. Determine k so that u(k) = 0.
-2/5, 0
Find l such that -20/7 + 2/7*l**2 - 18/7*l = 0.
-1, 10
Let j(b) be the second derivative of b**5/140 + b**4/14 - b**3/6 - 57*b - 1. Let j(t) = 0. Calculate t.
-7, 0, 1
Let u(h) = -4*h**3 - h**2 + h - 132. Let v be u(0). Let s be (2/(-18))/(-1) + v/(-270). Factor 1/5*x**2 + 1/5*x**5 + 3/5*x**4 + 0 + 0*x + s*x**3.
x**2*(x + 1)**3/5
Let l = 916 + -911. Let w(q) be the third derivative of 1/600*q**6 + 0 + 0*q**3 + 0*q**4 + 10*q**2 + 1/300*q**l + 0*q. Factor w(t).
t**2*(t + 1)/5
Suppose 297*