Let v = 7548 + -7543. Let -4/5*y**3 - 4/5*y**v + 12/5*y**2 + 0 + 8/5*y - 12/5*y**4 = 0. Calculate y.
-2, -1, 0, 1
Let b(l) be the second derivative of l**5/10 + l**4/3 + l**3/3 + 2*l + 48. What is r in b(r) = 0?
-1, 0
Let j be 8/36 - 4/270*-147. Factor 3/5*w**3 + 4/5*w + 0 - j*w**2 + w**4.
w*(w - 1)*(w + 2)*(5*w - 2)/5
Let j(r) = r**4 + 25*r**3 + 25*r**2 - 27*r - 24. Let v(f) = 9*f**4 + 249*f**3 + 252*f**2 - 270*f - 240. Let g(h) = -21*j(h) + 2*v(h). Factor g(n).
-3*(n - 1)*(n + 1)**2*(n + 8)
Suppose 0 = 8*f - 264 - 336. Let p be 5*(-5)/(f/(-2)). Factor -p*s**4 + s**3 + 0 - 1/3*s + 0*s**2.
-s*(s - 1)**2*(2*s + 1)/3
Let d(b) = -12*b**2 - 93*b - 765. Let z(v) = -21*v**2 - 187*v - 1531. Let n(c) = 5*d(c) - 3*z(c). Factor n(r).
3*(r + 16)**2
Let 16/7*b - 36/7 + 1/7*b**2 = 0. Calculate b.
-18, 2
Let c(y) be the third derivative of y**6/540 - y**5/90 - y**4/12 + y**3/2 - 9*y**2. Let h(f) be the first derivative of c(f). Factor h(g).
2*(g - 3)*(g + 1)/3
Factor -78*k**2 + 100*k + 23*k**2 + 14 + 6.
-5*(k - 2)*(11*k + 2)
Let t = 13923/1012 + -255/253. Suppose -21/4*b**3 + t*b + 9/2 - 12*b**2 = 0. What is b?
-3, -2/7, 1
Let n(h) be the third derivative of 0*h + 0*h**3 - 1/84*h**8 + 0*h**4 + 0*h**5 + 1/10*h**6 + 0 - 30*h**2 - 4/105*h**7. Determine c so that n(c) = 0.
-3, 0, 1
Let o be (8/(-22))/(2592/(-20592)). Suppose 2*h**2 + 8/9 - o*h = 0. Calculate h.
4/9, 1
Let d(w) be the third derivative of w**9/4320 + w**8/6720 + 13*w**4/24 + 10*w**2. Let q(c) be the second derivative of d(c). Factor q(l).
l**3*(7*l + 2)/2
Suppose 3*g + 58 = -0*g + 2*i, 5*g = -3*i - 65. Let o = 49/3 + g. Factor 0 - 1/3*m + 0*m**2 + o*m**3.
m*(m - 1)*(m + 1)/3
Let w be 0/((-8)/22 + 1456/616). Suppose 5/4*t**2 + 5/2*t - 5/4*t**3 + w = 0. What is t?
-1, 0, 2
Let g(t) be the first derivative of 3*t**7/70 - t**6/4 + 3*t**5/5 - 3*t**4/4 + t**3/2 + 3*t**2 + 14. Let r(v) be the second derivative of g(v). Factor r(f).
3*(f - 1)**3*(3*f - 1)
Let x(s) be the third derivative of -s**6/540 + 26*s**5/135 - 101*s**4/108 + 50*s**3/27 - 134*s**2. Factor x(b).
-2*(b - 50)*(b - 1)**2/9
Let f(o) = 1 + 14*o + 10 - 9 - o**2. Let x be f(14). Let -14*u - 3*u**x - u + 11*u**2 - 3*u**2 = 0. Calculate u.
0, 3
Let l = 29 + -15. Suppose q + 5*h + l = -2*q, -2*q = 5*h + 16. What is f in 1 - f**4 + 17*f**2 - 17*f**q - 2*f + 2*f**3 = 0?
-1, 1
Determine x so that 0*x - 48/5*x**2 - 8*x**3 + 0 - 4/5*x**4 + 2/5*x**5 = 0.
-2, 0, 6
Factor -5/2*c**3 - 1/2*c**4 - 3/2*c + 0 - 7/2*c**2.
-c*(c + 1)**2*(c + 3)/2
Let w(b) be the third derivative of -b**7/135 + 103*b**6/540 - 11*b**5/6 + 725*b**4/108 + 250*b**3/27 - 3*b**2 - 25*b. Factor w(q).
-2*(q - 5)**3*(7*q + 2)/9
Suppose 6/7 + 24/7*i**2 - 51/7*i = 0. Calculate i.
1/8, 2
Let l(k) = -k**3 + 11*k**2 - 8*k + 2. Let j be l(0). Factor -3/2*b**3 - 3/2*b**4 + 0 + 3/2*b**j + 3/2*b**5 + 0*b.
3*b**2*(b - 1)**2*(b + 1)/2
Factor 24*o + 0 - 28*o**3 - 26*o**2 + 0 + 6*o**2 + 40*o**4 - 20*o**4 + 4*o**5.
4*o*(o - 1)**2*(o + 1)*(o + 6)
Let j(x) = 9*x**2 - 9*x + 12. Let h(o) = -10*o**2 + 8*o - 11. Let b(s) = 6*h(s) + 7*j(s). Find a, given that b(a) = 0.
2, 3
Suppose -3*t = -7*t + 48. Let o be (-7)/(-14) + 2/t. Let -1/3*u**2 - 1/3*u**4 + u**3 - u + o = 0. What is u?
-1, 1, 2
Let u(i) = -21*i**2 + i**3 + 6*i**2 + i - 4 + 9*i**2. Let q be u(6). Suppose 4/3 - 2/3*d - 2/3*d**q = 0. Calculate d.
-2, 1
Let u(f) be the third derivative of -f**6/80 - f**5/16 + f**4/8 - 2*f**3 - 27*f**2. Let l(r) be the first derivative of u(r). Factor l(v).
-3*(v + 2)*(3*v - 1)/2
Let p(n) be the second derivative of n**5/170 + 11*n**4/102 + 35*n**3/51 + 25*n**2/17 + n - 46. Factor p(k).
2*(k + 1)*(k + 5)**2/17
Let h = -1229 + 13521/11. Let -2/11*k**4 + 0 + 0*k**2 - h*k**3 + 0*k = 0. Calculate k.
-1, 0
Factor 0 - 1/5*q**4 + 2/5*q**2 + 1/5*q**3 + 0*q.
-q**2*(q - 2)*(q + 1)/5
Solve 4*r**2 - 94 - 106 + 13*r**2 + r**2 + 205*r - 23*r**2 = 0.
1, 40
Find n such that 2/3 + 7/3*n + 2/3*n**3 - 1/3*n**5 - 2/3*n**4 + 8/3*n**2 = 0.
-1, 2
Let h(g) be the second derivative of -g**7/63 + 4*g**6/45 + g**5/6 - g + 19. Find a, given that h(a) = 0.
-1, 0, 5
Let w(u) be the first derivative of 32/3*u**2 + 32/3*u + 3/4*u**4 - 47 + 14/3*u**3. Factor w(k).
(k + 2)*(3*k + 4)**2/3
Let s(p) be the second derivative of 1/20*p**4 - 1/10*p**3 + p + 0 + 1/10*p**2 - 1/100*p**5. Factor s(d).
-(d - 1)**3/5
Let f(h) be the second derivative of -10/13*h**2 - 1/78*h**4 - 7/39*h**3 + 0 + 20*h. Factor f(v).
-2*(v + 2)*(v + 5)/13
Let g(r) be the third derivative of -r**6/24 - r**5/4 + 6*r**2 + 9. Factor g(f).
-5*f**2*(f + 3)
Let f(l) be the third derivative of l**9/161280 - l**8/26880 - 13*l**5/60 - 2*l**2. Let y(r) be the third derivative of f(r). Factor y(o).
3*o**2*(o - 2)/8
Suppose -20/9*c + 0 + 2/9*c**3 + 2/3*c**2 = 0. Calculate c.
-5, 0, 2
Let o(s) be the second derivative of 0 - 2*s + 0*s**2 + 0*s**3 + 1/4*s**5 + 0*s**4. Let o(i) = 0. Calculate i.
0
Let v(q) = 2*q**2 + 21*q + 9. Let k be v(-6). Let x be 36/k*10/(-4). Suppose 18*o**x + 27 + 1/3*o**4 + 4*o**3 + 36*o = 0. Calculate o.
-3
Let c(p) be the third derivative of p**8/84 - 16*p**7/105 + 13*p**6/30 + 22*p**5/15 - 16*p**4/3 - 64*p**3/3 + 9*p**2 + 1. Suppose c(k) = 0. Calculate k.
-1, 2, 4
Let i(o) be the first derivative of -o**9/756 - o**8/420 + o**7/210 + o**6/90 + 31*o**3/3 + 21. Let m(y) be the third derivative of i(y). Factor m(k).
-4*k**2*(k - 1)*(k + 1)**2
Let d be 3/((-6)/(-25)*10/4). Let 18*o**4 + 8*o**2 - 8*o + 2*o**d + 3*o**3 + 4*o**3 - 26*o**4 - o**3 = 0. What is o?
-1, 0, 1, 2
Let f = -42 + 47. Let k be f*((-50)/(-15) - 3) - -1. What is p in k*p**2 - 4/3*p + 0 = 0?
0, 1/2
Let v(c) be the first derivative of c**4/4 - 26*c**3/3 + 13*c**2 - 22*c + 16. Let h be v(25). Factor -34/7*b**4 + 0 - 4/7*b - 22/7*b**2 - 6*b**h - 10/7*b**5.
-2*b*(b + 1)**3*(5*b + 2)/7
Let y(b) = -b. Let o(j) = 3*j**3 - 118*j**3 - 69*j**3 + 720*j**2 + 22*j**4 + 864 + 0*j**5 - j**5 - 1289*j. Let f(x) = 2*o(x) + 14*y(x). Let f(v) = 0. What is v?
2, 6
Suppose -65 = -9*s - 47. Solve -2/19*n**s + 6/19*n - 4/19 = 0.
1, 2
Let l(a) be the third derivative of a**9/3024 - a**8/1344 - a**7/252 - 2*a**4/3 + 9*a**2. Let m(r) be the second derivative of l(r). Factor m(z).
5*z**2*(z - 2)*(z + 1)
Let d(z) = -z**2 - 167*z + 154. Let y(u) = 84*u - 76. Let s(x) = -4*d(x) - 7*y(x). Factor s(w).
4*(w - 1)*(w + 21)
Let w(h) be the third derivative of 0*h - 10/3*h**3 - 11/4*h**5 + 10*h**2 + 35/6*h**4 - 7/3*h**6 + 0 - 8/21*h**7. Factor w(f).
-5*(f + 2)**2*(4*f - 1)**2
Let v(r) be the second derivative of -r**4/24 + 7*r**3/4 - 5*r**2 - 39*r + 1. Find j, given that v(j) = 0.
1, 20
Let b(d) = -d**3 - 4*d**2 + 3*d - 6. Let i be b(-5). Solve 5*v**2 - i*v**2 - 5*v**2 - 36 - 24*v = 0 for v.
-3
Let i be (0/(-4) - (-2)/3)*9/8. Factor -1/2*u**2 + i*u**4 + 3/4*u - 1/2*u**3 - 1/4*u**5 - 1/4.
-(u - 1)**4*(u + 1)/4
Let o(j) be the second derivative of j**5/80 - 9*j - 1. Find s, given that o(s) = 0.
0
Let z(m) = -m**5 + 5*m**4 + 3*m**3 - 12*m**2 + 4. Let t(h) = h**4 - h**3 - h + 2. Suppose -1 = 10*r + 9. Let v(f) = r*z(f) - t(f). Factor v(p).
(p - 6)*(p - 1)**2*(p + 1)**2
Suppose -2*q + 0*q = -4. Suppose m = -4*r + q*m - 5, 5*m - 25 = -r. Factor 2/5*g**2 + r*g + 0 + 0*g**3 - 2/5*g**4.
-2*g**2*(g - 1)*(g + 1)/5
Factor -1/5*r**3 + 3/5*r**2 + r + 2/5 - 1/5*r**4.
-(r - 2)*(r + 1)**3/5
Let t(n) be the third derivative of 3*n**2 + 1/8*n**4 + 0 + 1/6*n**3 + 1/120*n**6 + 1/20*n**5 + 0*n. Factor t(o).
(o + 1)**3
Let m(f) = f**3 - 5*f**2 - f + 10. Let d be m(5). Find s, given that -s**2 - 4*s**2 - d*s + 15*s + s**3 - 6*s**3 = 0.
-2, 0, 1
Factor 14 + 5*a**3 - 33*a - 94 + 24*a + 35*a**2 - 41*a.
5*(a - 2)*(a + 1)*(a + 8)
Find s such that -28/17*s**2 + 98/17*s + 2/17*s**3 + 0 = 0.
0, 7
Suppose 0 = 4*s + t - 20, 0 = -4*s + 6*s + t - 12. Factor -2*p**3 - 2*p**2 + 3*p**4 + 6*p**2 - 4*p**s - 5*p**2.
-p**2*(p + 1)**2
Let n(v) be the second derivative of -v**6/18 + v**5/3 + 5*v**4/12 - 25*v**3/9 - 20*v**2/3 - 92*v. Let n(l) = 0. Calculate l.
-1, 2, 4
Let 9*v + 13*v - 52*v**2 - 27*v + 19*v**2 + 17*v = 0. Calculate v.
0, 4/11
Let i(t) = -20*t**3 + 234*t**2 - 291*t + 55. Let o(d) = 4*d**3 - 47*d**2 + 58*d - 11. Let y(z) = -2*i(z) - 11*o(z). Find g, given that y(g) = 0.
1/4, 1, 11
Let p(z) be the third derivative of -z**8/1176 + z**7/735 + 3*z**6/140 - 13*z**5/210 - 2*