p**2 - 6*p**2 + 1 + 257*p + 5 = 0. Calculate p.
-2, -1, 1
Let i(r) = 25*r**3 + 7*r**2 - 84*r + 87. Let v(d) = -22*d**3 - 6*d**2 + 84*d - 86. Let a(z) = -6*i(z) - 7*v(z). Factor a(o).
4*(o - 4)*(o - 1)*(o + 5)
Let u(x) be the third derivative of x**7/630 - 19*x**6/360 + 13*x**5/36 - 77*x**4/72 + 5*x**3/3 + 126*x**2. Factor u(r).
(r - 15)*(r - 2)*(r - 1)**2/3
Suppose 7*g = 5*g + 16. Let z(f) = f**2 - 8*f + 3. Let p be z(g). Factor -2/5*a**4 - 2/5*a**p + 2/5*a + 0 + 2/5*a**2.
-2*a*(a - 1)*(a + 1)**2/5
Let u(s) be the first derivative of 2/5*s**2 + 2/15*s**3 - 12 - 6/5*s. Factor u(r).
2*(r - 1)*(r + 3)/5
Let u(f) be the second derivative of 3*f**6/160 - f**5/40 - 7*f**4/32 - f**3/4 + 5*f**2 + 3*f. Let l(r) be the first derivative of u(r). Factor l(o).
3*(o - 2)*(o + 1)*(3*o + 1)/4
Let x = 17 - 17. What is i in -24*i + 2*i**3 - 3*i**2 + 36 + i**3 + x*i**3 = 0?
-3, 2
Let s be (-4 - -8)*(155/50 - 3). Factor -s - 1/5*u + 1/5*u**2.
(u - 2)*(u + 1)/5
Let y = -22/119 - -9295/714. Let t = -28/3 + y. Factor -t*s**2 - 15/2*s - 1/2*s**3 - 9/2.
-(s + 1)*(s + 3)**2/2
Let s = 15 - 10. Let o(n) = -619 + 6*n + 319 - 14*n - 23*n**2 + 307. Let k(a) = -15*a**2 - 5*a + 5. Let u(r) = s*o(r) - 8*k(r). Factor u(c).
5*(c - 1)*(c + 1)
Let m(c) be the second derivative of c**5/150 + c**4/60 + 5*c**2/2 - 7*c. Let a(p) be the first derivative of m(p). Let a(t) = 0. Calculate t.
-1, 0
Let l(n) be the second derivative of 1/32*n**4 + 0*n**3 + 0*n**2 + 0 - 1/112*n**7 - 9/160*n**5 + 3/80*n**6 + 9*n. Factor l(w).
-3*w**2*(w - 1)**3/8
Let t be ((-81)/(-6))/9 + -10*7/(-28). Determine q, given that -9/2 - 93/4*q**2 - 9/4*q**t + 69/4*q + 51/4*q**3 = 0.
2/3, 1, 3
Suppose -9*o + 42 - 6 = 0. Suppose -6 = 2*v - 5*v. Factor 3 + 4*d**2 - 5 - v*d**o + 0*d**4.
-2*(d - 1)**2*(d + 1)**2
Let p = -17384 + 17387. Solve 18*a**4 - 6*a**3 + 27/2*a - 15*a**2 - p - 15/2*a**5 = 0.
-1, 2/5, 1
Let y(m) = m**3 + m**2 - m + 3. Let s be y(0). Factor 6*p**3 - 5*p**4 - 10*p**2 + 15 - 26*p**s - 43*p + 63*p.
-5*(p - 1)*(p + 1)**2*(p + 3)
Let g = 14 - 10. Let o(q) be the first derivative of 1/4*q + 1/6*q**3 - g - 3/8*q**2. Solve o(y) = 0.
1/2, 1
Let t(h) = 63*h + 65. Let y be t(-1). Factor 1/2*k**4 + 3/2*k - 3/2*k**3 + 1/2*k**y - 1.
(k - 2)*(k - 1)**2*(k + 1)/2
Let y(q) = -8*q - 14*q**2 + q + 17 + q - 2*q. Suppose -3*c = 41 - 8. Let s(g) = 5*g**2 + 3*g - 6. Let m(n) = c*s(n) - 4*y(n). Determine z, given that m(z) = 0.
-1, 2
Let l(n) be the third derivative of 13/100*n**6 + 1/20*n**4 - 3/70*n**7 + 0*n + 7*n**2 + 0 - 13/100*n**5 + 0*n**3. Let l(a) = 0. Calculate a.
0, 1/3, 2/5, 1
Factor 33/7*h - 3/7*h**3 + 54/7 - 24/7*h**2.
-3*(h - 2)*(h + 1)*(h + 9)/7
Let k(s) be the first derivative of -1/360*s**5 + 0*s**2 - 9 - 1/720*s**6 + 0*s + 0*s**4 - 2/3*s**3. Let c(a) be the third derivative of k(a). Factor c(z).
-z*(3*z + 2)/6
Factor -21/2*p - 10 - 1/2*p**2.
-(p + 1)*(p + 20)/2
Let s be 0/(-1) + 119 + 1/1. Let w be (-5)/1 + 632/s. Factor w*o**2 - 2/15 + 0*o**3 - 2/15*o**4 + 0*o.
-2*(o - 1)**2*(o + 1)**2/15
Factor 9/2*k + 3*k**4 - k**2 - 4*k**3 - 1/2*k**5 - 2.
-(k - 4)*(k - 1)**3*(k + 1)/2
Find j such that 1/2*j - 1/4*j**2 + 3/4 = 0.
-1, 3
Factor 4/3*r**2 - 4/3*r**3 + 0*r + 0.
-4*r**2*(r - 1)/3
Let j(k) be the third derivative of -1/60*k**6 + 0*k + 0 - 11/70*k**5 + 15*k**2 - 3/14*k**4 + 8/21*k**3. Factor j(a).
-2*(a + 1)*(a + 4)*(7*a - 2)/7
Factor -14/3*d**2 + 2/9*d**4 - 10/9*d**3 - 16/9 - 46/9*d.
2*(d - 8)*(d + 1)**3/9
Let s = -2145 - -2152. Let m(c) be the third derivative of 0*c**3 + 1/30*c**6 - 1/105*c**s + 0*c**4 + 0 - 1/30*c**5 + 0*c + c**2. What is k in m(k) = 0?
0, 1
Let h be 3/7 + (50/(-35))/(-10). Let x be 51/28 + (-6)/(-8). Factor h + 2*l**2 + x*l.
2*(l + 1)*(7*l + 2)/7
Let z(i) be the first derivative of -i**6/3 + 2*i**5 - 4*i**4 + 8*i**3/3 - 351. Factor z(q).
-2*q**2*(q - 2)**2*(q - 1)
Let g = -17071/7 - -2439. Find w, given that -6/7*w + g*w**2 + 4/7 = 0.
1, 2
Let s(y) = 12 + 61*y**3 + 193*y - 16 + 419*y**2 + 16 + 15. Let g(l) = 60*l**3 + 420*l**2 + 192*l + 28. Let j(t) = -3*g(t) + 4*s(t). Factor j(n).
4*(n + 6)*(4*n + 1)**2
Let x(m) be the first derivative of -2/15*m**3 + 46 + 7/5*m**2 + 16/5*m. Solve x(w) = 0.
-1, 8
Solve 4824*f**3 - 2268*f**4 - 108*f**5 - 3191*f**2 - 67*f**2 - 14*f**2 - 92 + 916*f = 0 for f.
-23, 1/3, 1
Let i(j) be the first derivative of 0*j**2 + 6 - 4/21*j**3 - 1/14*j**4 + 0*j. Factor i(r).
-2*r**2*(r + 2)/7
Let p(l) be the second derivative of 0*l**2 - 3/4*l**3 + 0 + 1/4*l**4 + 17*l + 3/40*l**5. Factor p(r).
3*r*(r - 1)*(r + 3)/2
Factor 1/8*x**3 - 37/8*x**2 + 9 + 17/4*x.
(x - 36)*(x - 2)*(x + 1)/8
Let p(z) be the third derivative of -z**8/5040 - z**7/315 + z**6/36 + 23*z**5/60 - 30*z**2. Let v(t) be the third derivative of p(t). Factor v(r).
-4*(r - 1)*(r + 5)
Let p(w) = -w**2 - w. Let b(t) = 3*t**3 + t**2 + t + 3. Let o(v) = -b(v) - 4*p(v). Factor o(u).
-3*(u - 1)**2*(u + 1)
Let x(w) be the second derivative of 7/9*w**3 - 1 - 1/18*w**4 + 0*w**2 - 22*w. Factor x(u).
-2*u*(u - 7)/3
Let t be (-1)/(-3) + 57/(-9). Let q be (t/(-78))/((-3)/(-12)). Factor -2/13*v**2 + 0 + q*v - 6/13*v**3.
-2*v*(v + 1)*(3*v - 2)/13
Let j(k) be the second derivative of 2*k**7/105 - k**6/30 - k**5/5 + k**4/6 + 4*k**3/3 + 3*k**2 + 3*k. Let l(n) be the first derivative of j(n). Factor l(p).
4*(p - 2)*(p - 1)*(p + 1)**2
Let v be 9/5 - 4/5. Let w be (v + 0)*(-6)/(-12). Factor 0*i - 1/2*i**2 + w.
-(i - 1)*(i + 1)/2
Solve 30/7 - 27/7*x - 3/7*x**2 = 0 for x.
-10, 1
Let m(d) be the first derivative of 169*d**3/2 - 117*d**2/2 + 27*d/2 - 163. Factor m(j).
3*(13*j - 3)**2/2
Let q be (-73)/(-108) - (-17 + (-3656)/(-216)). Factor -q - 3/2*w - 3/4*w**2.
-3*(w + 1)**2/4
Let h(z) be the first derivative of -2*z**3/9 - 13*z**2/3 + 28*z/3 - 392. Let h(i) = 0. What is i?
-14, 1
Let u(x) = -7*x**3 - 13*x**2 - 112*x - 186. Let p(m) = -20*m**3 - 40*m**2 - 336*m - 559. Let r(s) = -6*p(s) + 17*u(s). Factor r(n).
(n + 3)*(n + 8)**2
Let a(y) be the first derivative of y**5/10 - y**3/2 - y**2/2 - 260. Factor a(c).
c*(c - 2)*(c + 1)**2/2
Factor -2/9 + 0*j**2 + 2/9*j**4 - 4/9*j + 4/9*j**3.
2*(j - 1)*(j + 1)**3/9
Let o(w) be the second derivative of 1/3*w**3 - 1/2*w**4 + 0 - 3*w + 0*w**2. Let l(b) = -13*b**2 + 4*b. Let u(s) = -4*l(s) + 9*o(s). Find n such that u(n) = 0.
0, 1
Let j(i) = -2*i**3 - 8*i**2 - 3*i - 5. Let p(o) = o - 1. Suppose -v - 3 = -0. Let c be 14/21 - (-32)/v. Let t(d) = c*p(d) + 2*j(d). Factor t(s).
-4*s*(s + 2)**2
Let a be (-1 + -5)*6/(-12). Factor -40*z**a + 15*z**4 + 444*z**2 - 424*z**2 - 2*z + 2*z.
5*z**2*(z - 2)*(3*z - 2)
What is f in 62/5*f + 0 + 2/5*f**2 = 0?
-31, 0
Factor 16/9 + 16/9*o + 0*o**2 - 1/9*o**4 - 4/9*o**3.
-(o - 2)*(o + 2)**3/9
Let r = 1178/3 - 389. Let b(d) be the second derivative of 18/5*d**5 - r*d**3 - 7*d + 4*d**4 + d**2 + 0. Factor b(c).
2*(c + 1)*(6*c - 1)**2
Let m = 1/1671 + 487/116970. Let l(v) be the third derivative of -1/6*v**4 + 0*v + 2/3*v**3 + m*v**7 + 0 - 4*v**2 - 1/20*v**5 + 1/60*v**6. Solve l(b) = 0.
-2, 1
Let w(c) be the third derivative of 16*c**5/165 - c**4/6 + c**3/11 + 7*c**2 - 12*c. Factor w(x).
2*(2*x - 1)*(16*x - 3)/11
Let w(d) be the third derivative of -d**6/480 + d**5/40 - 11*d**4/96 + d**3/4 - 17*d**2. Suppose w(i) = 0. Calculate i.
1, 2, 3
Determine f, given that 0 + 5/3*f**2 - 5/3*f**4 - 14/3*f + 5*f**3 - 1/3*f**5 = 0.
-7, -1, 0, 1, 2
Let a(z) be the second derivative of -z**7/27720 - z**6/1320 + 7*z**5/1320 - 8*z**4/3 + 28*z. Let g(m) be the third derivative of a(m). Factor g(u).
-(u - 1)*(u + 7)/11
Factor 82383 - 82383 + 12*l**2 + 4*l**3.
4*l**2*(l + 3)
Let u(y) = -11*y**3 + 9*y**2 - y + 3. Let s be (-1)/3 - (-50)/6. Let r(z) = 4*z**3 - 3*z**2 - 1. Let d(i) = s*r(i) + 3*u(i). Find j, given that d(j) = 0.
1
Let c be 2/(-10) + 4 + 265/(-75). Let n(m) be the first derivative of 0*m + 0*m**2 - 2/25*m**5 - 4 - c*m**3 + 3/10*m**4. Solve n(v) = 0.
0, 1, 2
Let j(x) be the second derivative of -x**5/120 + 5*x**4/9 + 83*x**3/36 + 7*x**2/2 - 4*x - 9. Factor j(l).
-(l - 42)*(l + 1)**2/6
Let k(p) be the second derivative of -p**5/10 - p**4/2 + 8*p**3 - 28*p**2 - 2*p - 19. Factor k(v).
-2*(v - 2)**2*(v + 7)
Let z(c) be the second derivative of c**9/3780 - c**8/420 + c**7/315 + c**6/45 - c**5/10 - c**4/2 + 5*c. Let q(m) be the third derivative of z(m). Factor q(r).
4*(r - 3)*(r - 