- 10. Let f(q) = 3*q**4 - 316*q**3 - 3721*q**2 + 2604*q - 12. Let r(n) = -5*f(n) + 6*l(n). Factor r(z).
5*z*(z - 29)*(z + 9)*(3*z - 2)
Let u(r) be the second derivative of -r**4/96 - 5*r**3/6 - 19*r**2/4 - 56*r - 3. Factor u(k).
-(k + 2)*(k + 38)/8
Let m be (4 - 13 - -7) + 5. Let o be ((-6)/4)/(3/(-40)). Suppose 11*a**5 + a**4 + o*a**4 - 6*a - 9*a**m - 21*a**2 - a**5 + 5*a**5 = 0. Calculate a.
-1, -2/5, 0, 1
Let a(p) be the second derivative of -1/18*p**4 - 1/90*p**5 - 5/9*p**2 - 24 - 3*p + 1/3*p**3. Factor a(h).
-2*(h - 1)**2*(h + 5)/9
Let z = -180 - -207. Let 111 - 60 - z + 2*s**2 + 12*s - 56 = 0. What is s?
-8, 2
Let d(j) be the second derivative of -5*j**4/12 - 635*j**3/2 - 950*j**2 - 7649*j. Determine p, given that d(p) = 0.
-380, -1
Let t(c) be the second derivative of -7/36*c**4 + 0 + 5/9*c**3 - 102*c - 1/90*c**6 + 4/3*c**2 + 1/126*c**7 - 11/60*c**5. Suppose t(m) = 0. Calculate m.
-2, -1, 1, 4
Let h be -1 + (-18)/(-5) + 24/(-40). Suppose -h*b = 3*q - 2, -12*q - b = -8*q - 6. Suppose -u**2 - 6*u**2 + q*u + 0*u + 5*u**2 = 0. Calculate u.
0, 1
Factor -14112 - 105*q**2 - 773357*q - 71*q**2 + 777557*q + 2*q**3.
2*(q - 42)**2*(q - 4)
Let n = 232826/7 - 33160. Let q = n + -100. Factor -q*w**2 - 12/7*w + 0.
-6*w*(w + 2)/7
Let y(s) be the second derivative of -2*s**7/21 + 5*s**6/6 - 11*s**5/5 + s**4/6 + 8*s**3 - 27*s**2/2 - 1795*s + 2. Find a, given that y(a) = 0.
-1, 1, 9/4, 3
Let k = -2/692637 - -5541106/3463185. Let 4*s**2 + 2/5*s**3 - 16/5 + 2/5*s**5 - 8/5*s**4 - k*s = 0. Calculate s.
-1, 2
Let n be 5/2*72/(-45). Let d be (8/14)/(n/(-14)). Factor 4*v**d + 1 + 15*v - 9*v**2 - 1.
-5*v*(v - 3)
Let q = 5 - 3. Let z be ((-2)/(-10))/(28/280). Determine i, given that -i**3 + 14*i**2 - 17*i**q + 2*i + 0*i**3 + z*i**3 = 0.
0, 1, 2
Let v = -54968 - -494720/9. Factor 20/3*b**3 - 8/3*b + 50/9*b**4 + v - 22/9*b**2.
2*(b + 1)**2*(5*b - 2)**2/9
Let j(f) be the first derivative of -3*f**8/56 + 3*f**7/70 + f**6/60 + 70*f**2 + 251. Let s(v) be the second derivative of j(v). Find b such that s(b) = 0.
-1/6, 0, 2/3
Suppose s = -2*q + 111 + 30, -3*q - 6 = 0. Solve 4*m - 3*m**3 + 145 + 4*m**2 - s = 0.
-2/3, 0, 2
Let b(f) be the first derivative of f**6/30 - f**5/3 - f**4 + f**2/2 - 7*f - 2. Let d(g) be the second derivative of b(g). Find l such that d(l) = 0.
-1, 0, 6
Let v(p) be the second derivative of -23*p - 1/100*p**5 + 0 + 3/40*p**4 - 1/5*p**3 + 39/2*p**2. Let j(l) be the first derivative of v(l). Factor j(y).
-3*(y - 2)*(y - 1)/5
Let w(d) be the second derivative of 3/50*d**5 + 16*d - 8/45*d**4 - 2/5*d**2 + 0 - 31/45*d**3. Factor w(t).
2*(t - 3)*(t + 1)*(9*t + 2)/15
Let c(p) = -p**2 - 38*p + 3. Let j be c(-38). Suppose -2*a + 2*w - w - 1 = 0, -j*a + 2*w = 4. Let 3/4*q**a + 1/4*q**3 - 1/4*q - 1/4*q**4 - 1/2 = 0. Calculate q.
-1, 1, 2
Let q be 14*(1 - 2/4). Let o = -11 + 13. Solve -q*p - 2*p**3 + o - 10*p + 19*p - 2*p**2 = 0.
-1, 1
Let k(s) be the third derivative of -s**7/2100 - s**6/900 + 20*s**3/3 + 51*s**2. Let i(c) be the first derivative of k(c). Factor i(v).
-2*v**2*(v + 1)/5
Let t be 11 - 2 - (2/(-11) - 627/(-121)). Let y(r) be the first derivative of -1/4*r**t + 1/15*r**5 + 22 - 2/3*r + 1/9*r**3 + 1/2*r**2. Factor y(q).
(q - 2)*(q - 1)**2*(q + 1)/3
Let p = 295 + -292. Determine w, given that 5*w**4 + 180*w**2 - 36*w**p + 39 - 170*w + 4 + 12 - 34*w**3 = 0.
1, 11
Let x(u) be the first derivative of 0*u - 1/30*u**4 + 55 - 2/15*u**2 + 2/15*u**3. Factor x(b).
-2*b*(b - 2)*(b - 1)/15
Let p(r) be the second derivative of -r**5/60 + 7*r**4/24 + 4*r**3/3 - 57*r**2/2 - 5*r - 2. Let q(k) be the first derivative of p(k). Factor q(g).
-(g - 8)*(g + 1)
Suppose 4*h = -n + 26, n + 52 = 5*n + 3*h. Suppose b + 0 - n = -x, 4*b = 8. Find j, given that -4*j - 18*j**3 - x*j**4 + 6*j**4 - 3*j**2 + 6*j**5 + 21*j**2 = 0.
-2, 0, 1/3, 1
Let s(u) = 8*u**2 - 27691*u + 23998599. Let c(q) = -4*q**2 + 13844*q - 11999300. Let x(v) = -7*c(v) - 4*s(v). Factor x(g).
-4*(g - 1732)**2
Let n be (30/(-36))/((-5)/60). Let r be (-10)/((-550)/253) - 6/n. Find u, given that -14/17*u**2 + 10/17*u**r + 6/17*u - 6/17*u**3 + 4/17 = 0.
-1, -2/5, 1
Determine k, given that -1465*k**2 - 42 + 764*k**2 + 294 - 550*k + 795*k**2 - 4*k**3 = 0.
1/2, 9, 14
Let n = 100442 + -502209/5. Factor 0*f**2 - 3/5*f**3 + n*f**4 + 0*f + 0.
f**3*(f - 3)/5
Let i(n) = -4*n - 3. Let h be i(-2). Suppose -b = -2*v - 2*b, 5*v + 10 = -h*b. Find s such that 562*s**4 - 3*s**v - 3*s - 565*s**4 - 9*s**3 - 6*s**2 = 0.
-1, 0
Factor 929*m**4 - 41*m**3 - 6860*m - 459*m**4 - 4900 - 466*m**4 + 756*m - 1248*m**2 + m**3.
4*(m - 25)*(m + 1)*(m + 7)**2
Let t(v) be the second derivative of -v**6/180 + 2*v**5/15 - v**4 - v**3/3 - 169*v**2/2 - 40*v - 2. Let m(s) be the second derivative of t(s). Factor m(b).
-2*(b - 6)*(b - 2)
Let m(a) = -11*a + 47. Let n(t) = t**3 - 5*t**2 - 13*t - 3. Let u be n(7). Let r be m(u). Factor 4/9*z**2 + 2/9*z**r - 2/9*z**4 + 0 + 0*z.
-2*z**2*(z - 2)*(z + 1)/9
Let d(h) = 26*h**3 + 62*h**2 - 1832*h + 10216. Let g(v) = -3*v**3 - v - 2. Let x(u) = -d(u) - 8*g(u). Determine y, given that x(y) = 0.
-51, 10
Let k(y) = y**2 - 2*y - 5. Let f be k(4). Find n, given that 0*n**4 - 6*n**2 + 15*n**3 - 17*n - f*n**4 - 10*n + 3*n = 0.
-1, 0, 2, 4
Let s(y) be the second derivative of -y**4/96 - 13*y**3/8 + 243*y**2/16 + 3*y + 80. Factor s(m).
-(m - 3)*(m + 81)/8
Factor -1/2*q**2 + 0 + 911/2*q.
-q*(q - 911)/2
Factor 2/9*a**3 + 8 - 8/3*a - 10/9*a**2.
2*(a - 6)*(a - 2)*(a + 3)/9
Let f(j) be the first derivative of 2*j**3/27 + 1474*j**2/9 + 1086338*j/9 - 2326. Determine r so that f(r) = 0.
-737
Let x(q) be the second derivative of q**7/5040 + q**6/180 + q**5/20 + q**3/6 + 104*q. Let k(i) be the second derivative of x(i). Factor k(d).
d*(d + 6)**2/6
Let k be 6 - 54/(-1512)*42. Find v such that 5/2*v - 25*v**4 + k*v**5 - 15*v**2 + 0 + 30*v**3 = 0.
0, 1/3, 1
Let x(o) be the first derivative of o**6/105 - o**4/14 - 2*o**3/21 - 48*o - 47. Let q(p) be the first derivative of x(p). Factor q(c).
2*c*(c - 2)*(c + 1)**2/7
Let l(m) = 18*m + 164. Let i be l(-9). Solve -6*a**2 + 4 - 3*a**2 - 10*a**i + 10*a**2 + 30*a - 7*a**2 = 0 for a.
-1/8, 2
Let u(h) be the first derivative of 0*h**3 + 0*h + 0*h**2 - 1/10*h**4 + 107. Factor u(x).
-2*x**3/5
Suppose -4*w - 5*l = -1891, -4*w + 1964 = 2*l + 70. Let x = w - 2369/5. Factor 0*g**4 + 0 - 2/5*g**3 + 1/5*g + x*g**5 + 0*g**2.
g*(g - 1)**2*(g + 1)**2/5
Let i(v) be the first derivative of v**6/630 + v**5/35 + 5*v**4/42 - 94*v**3/3 - 49. Let j(l) be the third derivative of i(l). Suppose j(g) = 0. Calculate g.
-5, -1
Let g(x) be the second derivative of x**5/20 - 61*x**4/12 - 2941*x**3/6 - 27455*x**2/2 + 6169*x. Find o such that g(o) = 0.
-17, 95
Let i(x) be the second derivative of 1/14*x**7 + 0*x**2 + 0 + 0*x**3 + 3/10*x**6 + 9/20*x**5 - 201*x + 1/4*x**4. Suppose i(n) = 0. Calculate n.
-1, 0
Suppose -4*o**3 - 386*o**2 - 477*o**2 - 1295*o**2 - 114147*o - 154177*o + 86*o**2 = 0. Calculate o.
-259, 0
Let b(c) = c**3 - 17*c**2 - 6*c + 6. Let n be b(17). Let x = n - -101. Factor -18 + 18 - x*k - 5*k**2 + 10*k**2.
5*k*(k - 1)
Let d be (-54)/(-18)*(2 - (-1 + 2)). Suppose -j + d = -57. Factor -3*h + j - 90 - 6*h + 3*h**2.
3*(h - 5)*(h + 2)
Let v = -3824/9 + 7657/18. Let p(t) be the first derivative of 0*t - 52 + 0*t**3 + v*t**2 - 1/4*t**4. Factor p(g).
-g*(g - 1)*(g + 1)
Let z(k) be the second derivative of -k**6/6 - 7*k**5/2 + 25*k**4/4 + 100*k + 2. Let z(p) = 0. What is p?
-15, 0, 1
Let v = 76165 - 76165. Let v + 507/7*g + 81/7*g**3 - 585/7*g**2 - 3/7*g**4 = 0. Calculate g.
0, 1, 13
Let b be (9/(-6))/((-4)/(8/1)). Suppose 4*q - b*q = 6. Factor p**5 - q*p**4 + p**4 + 3*p**4 + p**4.
p**4*(p - 1)
Suppose -2*q + 133 = 2*i + 17, 0 = 5*i + 3*q - 294. Suppose 77*h = 74*h + i. Factor 12*n**2 - 9*n**4 + 20*n - h*n**3 - 9*n**4 - 16 + 22*n**4.
4*(n - 4)*(n - 1)**2*(n + 1)
Let p be (2/(-6))/((-8)/(-7888) - 0). Let u = 329 + p. Solve -u*g**2 + 2/3 - 1/3*g = 0.
-2, 1
Let l(z) be the third derivative of 357911*z**6/30 + 15123*z**5/5 + 639*z**4/2 + 18*z**3 - 8500*z**2. Factor l(s).
4*(71*s + 3)**3
Let d(o) be the third derivative of o**7/42 + 17*o**6/12 - 41*o**5/12 - 175*o**4/4 + 5346*o**2. Suppose d(v) = 0. What is v?
-35, -2, 0, 3
Let c(p) be the first derivative of 2*p**3/57 - 126*p**2/19 + 250*p/19 + 694. Determine f, g