et i(a) = -28*f(a) - 5*y(a). Factor i(h).
4*(h - 3)*(h + 1)
Let o(h) be the second derivative of 0 - 58/9*h**3 - 20/3*h**2 - 7/60*h**5 + 126*h + 41/18*h**4. Factor o(v).
-(v - 10)*(v - 2)*(7*v + 2)/3
Let r(q) be the third derivative of -q**8/80640 - q**7/5040 - q**6/960 - q**5/2 - 38*q**2. Let x(g) be the third derivative of r(g). Find s such that x(s) = 0.
-3, -1
Factor 0 + 2/11*n**3 + 42/11*n**2 - 4*n.
2*n*(n - 1)*(n + 22)/11
Find b, given that 544 - 3264*b - 1072*b**2 - 4*b**4 - 2848 - 1815*b**3 + 1699*b**3 = 0.
-12, -4, -1
Suppose 404/9 + 200/9*m - 1/9*m**2 = 0. Calculate m.
-2, 202
Suppose 2*v = n + 20, -2*n = 105*v - 70*v - 116. Factor -v - 2/17*b**2 - 38/17*b.
-2*(b + 2)*(b + 17)/17
Let q be -4 + (49/(-21))/((-2)/(-66)). Let g = q - -165/2. Factor 0 + 0*s**2 - g*s**4 - 2*s + 7/2*s**3.
-s*(s - 2)*(s - 1)*(3*s + 2)/2
Suppose g - 42 = 4*u, -2*u = -8*g + 3*g + 30. Factor 0*i**g + 8/3*i**4 + 0*i + 0 - 10/3*i**3 + 2/3*i**5.
2*i**3*(i - 1)*(i + 5)/3
Let j(y) be the second derivative of -23*y - 104/3*y**3 - 169/3*y**2 - 1/15*y**5 - 2 + 17/6*y**4. Factor j(x).
-2*(x - 13)**2*(2*x + 1)/3
Factor 624/7*k + 93/7*k**2 - 720/7 + 3/7*k**3.
3*(k - 1)*(k + 12)*(k + 20)/7
Suppose 48 = 7*j + 20. Factor 0*g**j + 6*g**3 - 2*g**3 + 2*g**4.
2*g**3*(g + 2)
Let k(t) be the third derivative of -1/420*t**7 + 0*t**3 + 0*t + 0 + 1/240*t**6 + 0*t**4 - 9*t**2 - 1/360*t**5 + 1/2016*t**8. Factor k(z).
z**2*(z - 1)**3/6
Let z(g) = 20*g**2 + 836*g - 168. Let s be z(-42). What is m in -30/7*m**3 - 4/7*m + 34/7*m**2 + s = 0?
0, 2/15, 1
Determine u so that 32 + 28/3*u + 1/3*u**2 = 0.
-24, -4
Let n be 147/(-28)*((-656)/(-168))/(-41). Factor n - 1/4*j**4 + 3/4*j - 3/4*j**3 - 1/4*j**2.
-(j - 1)*(j + 1)**2*(j + 2)/4
Suppose -4*z = -3*x + 4*x - 28, -5*x = -4*z - 92. Suppose -23*g + x*g + 24 = 0. Factor -5*u**2 + u**2 + 5*u**4 - 6*u**4 - 12*u + 12*u**3 - 3*u**4 + g.
-4*(u - 2)*(u - 1)**2*(u + 1)
Let x = 989887/241205 + 17/12695. Suppose -20/19*n - 2/19*n**2 + x = 0. What is n?
-13, 3
Let p = 72299 + -72296. Factor 0*d + 3*d**p + 0 + 1/2*d**4 + 0*d**2.
d**3*(d + 6)/2
Let a be (150/1700)/(((-108)/51)/(-6)). Suppose a*t**2 + 3/4*t - 5/2 = 0. Calculate t.
-5, 2
Let b be (-2)/76 - ((-28084)/2128)/17. Factor 9/4*h - 9/4*h**2 - b + 3/4*h**3.
3*(h - 1)**3/4
Let c(a) be the first derivative of -3/28*a**4 + 0*a**2 - 1/56*a**5 + 15 + 0*a + 1/840*a**6 - 11/3*a**3. Let b(u) be the third derivative of c(u). Factor b(x).
3*(x - 6)*(x + 1)/7
Factor 562*x**4 - 1786*x**4 + 336*x**3 + 569*x**4 - 4*x**5 + 583*x**4 + 7840*x**2.
-4*x**2*(x - 10)*(x + 14)**2
Let o = -11568 - -11568. Let w(c) be the first derivative of 4 - 8/5*c**3 + 2/5*c**2 + 11/20*c**4 + o*c. Factor w(b).
b*(b - 2)*(11*b - 2)/5
Let u be (-12)/1018*((-56)/63 + 1). Let b = 171/1018 + u. Solve -1/6*c**4 + b*c**2 + 1/6*c**5 + 0*c - 1/6*c**3 + 0 = 0.
-1, 0, 1
Let u(p) be the second derivative of -7*p**7/12 + 469*p**6/60 - 153*p**5/4 + 485*p**4/6 - 194*p**3/3 + 24*p**2 - 153*p - 3. Suppose u(c) = 0. What is c?
2/7, 2, 3, 4
Factor -61560066850/3*g**2 - 251902/3*g**4 + 98/3*g**5 - 5035382344/3 - 35230049632/3*g + 215784038/3*g**3.
2*(g - 857)**3*(7*g + 2)**2/3
Let f(m) = -8*m**3 + 777*m**2 - 97*m + 2. Let p be f(97). Determine h so that -1/2*h**3 + 3*h**p - 9/2*h + 2 = 0.
1, 4
Let y(x) be the first derivative of 2*x**3/3 - 1488*x**2 + 3891. Factor y(n).
2*n*(n - 1488)
Let l(s) be the third derivative of 0 + 4/3*s**3 + 1/336*s**8 - 1/42*s**7 + 1/120*s**6 + s - 11/12*s**4 - 56*s**2 + 17/60*s**5. Factor l(u).
(u - 4)*(u - 1)**3*(u + 2)
Let u(r) be the first derivative of -3/2*r**2 + 0*r - 321 + 1/3*r**3. Factor u(l).
l*(l - 3)
Suppose 0 = 3*l - u - 127, -14*l - 4*u = -18*l + 156. Suppose -4*h = -l*p + 41*p - 25, 4*h = p + 19. Let -5*n**h + 0 - 9/5*n**2 + 0*n + 6*n**3 = 0. What is n?
0, 3/5
Let q(p) = 340*p - 3054. Let v be q(9). Let u(f) be the second derivative of 0*f**2 + 2*f + 1/5*f**5 + 0*f**3 + 2/3*f**4 - v. Suppose u(c) = 0. What is c?
-2, 0
Let m(y) be the second derivative of -y**4/102 + 50*y**3/17 - 725*y**2/17 - 3327*y. Let m(o) = 0. Calculate o.
5, 145
What is a in -4/3*a**2 + 4/3 + 0*a = 0?
-1, 1
Let z(w) = -1. Let l(u) = -12*u**2 + 20*u - 2. Suppose 2*g + 0*g - 12 = -5*n, 0 = 3*g + 2*n - 7. Let v(s) = g*l(s) + 6*z(s). Factor v(j).
-4*(j - 1)*(3*j - 2)
Factor -21*o - 34*o - 46*o**2 + 140 + 91*o**2 - 40*o**2.
5*(o - 7)*(o - 4)
Factor 46/3*u**2 + 100/3*u + 0 - 2/3*u**3.
-2*u*(u - 25)*(u + 2)/3
Solve -92*a**2 - 172*a - 2 + 2 - 4*a**3 + 0 + 268*a**2 = 0 for a.
0, 1, 43
Let -683*a + 1257344 + 18374034 - 11849*a + 2*a**2 = 0. What is a?
3133
Let c(q) = -q - 9. Let h be c(-12). Let o = 5 - h. Determine m, given that 175/3*m**4 - 40/3*m + 145/3*m**o + 4/3 - 49/3*m**5 - 235/3*m**3 = 0.
2/7, 1
Let z(o) = o**2 + 9*o + 17. Let t be z(-7). Suppose -5*x - 5*a = -25, 4*x - t*a + 2*a - 15 = 0. Factor -7*s + 52*s**2 - s + x*s**4 - 64*s**2.
4*s*(s - 2)*(s + 1)**2
Let r(z) = -z**2 - 10*z - 21. Let d be r(-9). Let i = d + 15. Factor 2*f**i + 0*f**2 - 86*f**4 + 0*f**2 + f**5 + 89*f**4.
f**3*(f + 1)*(f + 2)
Let q = 18155 + -1997049/110. Let f(x) be the second derivative of 8/11*x**3 - 16/11*x**2 - 3/22*x**4 + 3 + q*x**5 - 3*x. Factor f(k).
2*(k - 4)**2*(k - 1)/11
Suppose 3*f = 2*a + 8, -4*a + 3*f + 12 = 4*f. Find c such that 15*c**a + 1 - 5*c**3 + 30*c - 2 - 39 = 0.
-2, 1, 4
Let n be 198/44*(-2)/(-3). Solve 2*o**4 + 47*o**3 + 0*o**2 + 54*o**n - 16*o**2 - 103*o**3 + 24*o = 0.
-3, 0, 2
Let m(c) be the second derivative of c**6/2 + 19*c**5/4 + 784*c. Determine z, given that m(z) = 0.
-19/3, 0
Let t(s) be the third derivative of -8*s**7/315 + 67*s**6/90 - 109*s**5/15 + 181*s**4/9 + 224*s**3/9 - 7*s**2 + 307. Find c, given that t(c) = 0.
-1/4, 2, 7, 8
Suppose -265/4 - 133/2*q - 1/4*q**2 = 0. Calculate q.
-265, -1
Suppose -4*j + 7*j + 4*m - 70 = 0, -3*j + 2*m + 100 = 0. Let h be -8 + 261/j - 8/(-10). Find t, given that -h - 3/4*t**2 + 9/4*t = 0.
1, 2
Suppose j + 16*w = 14*w + 15, -5*j + 4*w = -89. Let a(l) be the first derivative of -7/2*l**2 - j + 1/6*l**3 + 49/2*l. Factor a(k).
(k - 7)**2/2
Let r(n) be the third derivative of 0*n**5 - 1/40*n**6 + 1 + 20*n**2 + 0*n + 1/8*n**4 + 0*n**3. Factor r(g).
-3*g*(g - 1)*(g + 1)
Let p(k) be the third derivative of 0*k**4 + 1/7*k**7 - 1/2*k**5 + 0*k**3 + 0*k - 5/336*k**8 - 59*k**2 + 1/24*k**6 + 0. Determine v, given that p(v) = 0.
-1, 0, 1, 6
Factor 103/3*x**2 + 133*x + 99 + 1/3*x**3.
(x + 1)*(x + 3)*(x + 99)/3
Let b(u) be the first derivative of u**3 + 54*u - 61 - 27/2*u**2. Factor b(h).
3*(h - 6)*(h - 3)
Suppose 0 = -8*r + 3*r - 10. Let g be 4 + -2 + (24 - r). Factor o + 2*o + 20*o**2 + o + g*o**3 + 8*o**4 + 4*o**4.
4*o*(o + 1)**2*(3*o + 1)
Let v(z) = 5*z**3 + 12*z**2 + 21*z - 30. Let a(p) = 27*p**3 + 59*p**2 + 105*p - 147. Let g(h) = -4*a(h) + 22*v(h). Factor g(n).
2*(n - 1)*(n + 3)*(n + 12)
Let g(x) be the second derivative of -2*x**6/165 - x**5/10 - 2*x**4/11 + 3*x**3/11 + 204*x. Determine n so that g(n) = 0.
-3, 0, 1/2
Suppose 13*q - 93 - 141 = 0. Let m be 12/q*(3 - 2)/1. Suppose -4*r**2 - 8/3 - 6*r - m*r**3 = 0. Calculate r.
-4, -1
Let q(z) = 5*z**3 + 23*z**2 - 50*z + 8. Let i(c) = -30*c**3 - 140*c**2 + 300*c - 50. Let g(y) = -4*i(y) - 25*q(y). Solve g(r) = 0.
-5, 0, 2
Let p(x) be the first derivative of -x**7/2100 + x**6/20 - 9*x**5/4 + 225*x**4/4 + 100*x**3/3 + 93. Let y(z) be the third derivative of p(z). Factor y(k).
-2*(k - 15)**3/5
Let b = -1860 - -1844. Let w be (-1612)/(-992) + (-6)/b. Factor i + 1/2 + 1/2*i**w.
(i + 1)**2/2
Let r(p) = 783*p - 3128. Let a be r(4). Let j(z) be the second derivative of -1/4*z**2 + 1/24*z**a + 0*z**3 + 0 - 20*z. Factor j(g).
(g - 1)*(g + 1)/2
Let d(v) be the second derivative of v**6/15 + 101*v**5/10 - 211*v**4/2 + 321*v**3 + 2*v + 6444. Factor d(c).
2*c*(c - 3)**2*(c + 107)
Let c(m) = 2*m**3 + 28*m**2 - 3. Let r(g) = 104*g**3 + 20*g**2 - 51*g**3 - 5 + 35*g**2 - 48*g**3. Let b(o) = -5*c(o) + 3*r(o). Factor b(p).
5*p**2*(p + 5)
Let t(d) be the second derivative of -25 + 4/9*d**4 + d + 0*d**2 - 1/30*d**5 + d**3. Factor t(v).
-2*v*(v - 9)*(v + 1)/3
Suppose -37*y - 3479 = -445. Let z be 6/7 - (y/(-14) + -5). Factor z - 1/5*g**5 + 1/5*g**3 + 0*g + 1/5*g**2 - 1/5*g**4.
-g**2*(g - 1)*(g + 1)**2/5
Let l = -428 - -311. Let u = 119 + l. Factor 9/2*r + 3/2*r**u + 3.
3*(r + 1)*(r + 