 0. What is n?
-2, -1, 0, 1
Let o(d) be the third derivative of -d**7/630 + d**6/90 - d**5/30 + d**4/24 + 14*d**3/3 + 20*d**2. Let s(u) be the second derivative of o(u). Factor s(f).
-4*(f - 1)**2
Let 203*o**4 + 5*o**2 - 265*o - 208*o**4 + 110*o**3 + 155*o**3 = 0. Calculate o.
-1, 0, 1, 53
Let z = -909 - -503. Let q = -2834/7 - z. Factor 0*p**2 + 6/7*p**3 + 2/7*p**4 + 0 - q*p.
2*p*(p - 1)*(p + 2)**2/7
Let c(t) be the third derivative of -t**6/30 + 31*t**5/15 - 43*t**4/3 + 112*t**3/3 + 3*t**2 + 166*t. Factor c(q).
-4*(q - 28)*(q - 2)*(q - 1)
Factor g + 4*g**3 - 5*g - 87194*g**4 + 87193*g**4 - 2*g**2 + 3.
-(g - 3)*(g - 1)**2*(g + 1)
Let t = -94/33 - -32/11. Let d(f) be the first derivative of t*f**3 + 2/11*f**2 - 3 + 0*f. Factor d(w).
2*w*(w + 2)/11
Let q(z) be the third derivative of z**5/300 - 13*z**4/30 + 338*z**3/15 - 208*z**2. What is k in q(k) = 0?
26
Let o be (-4)/252*-200 + (-2)/(-9). Let j = o + -28/9. Factor -j*w**2 + 2/7*w + 0.
-2*w*(w - 1)/7
Let z(t) be the first derivative of 0*t**2 - 2/3*t**3 + t + 1/6*t**4 - 1. Let b(f) be the first derivative of z(f). Determine g, given that b(g) = 0.
0, 2
Factor 3/5*g**4 - 24/5*g - 6*g**2 + 27/5 + 24/5*g**3.
3*(g - 1)**2*(g + 1)*(g + 9)/5
Let g(n) be the first derivative of 13 - 729/32*n**4 + 81/4*n**3 - 27/4*n**2 + n. Suppose g(u) = 0. Calculate u.
2/9
Let p be 6 - 3/3 - 4. Suppose -2*z - p = -9. Factor -8/3*d - 4/3*d**z - 16/3*d**3 + 0 - 20/3*d**2.
-4*d*(d + 1)**2*(d + 2)/3
Solve 3/4 - 9/2*q + 27/4*q**2 = 0.
1/3
Factor -72/5 + 2*t**2 + 16/5*t.
2*(t - 2)*(5*t + 18)/5
Factor 74/5*i + 73/5 + 1/5*i**2.
(i + 1)*(i + 73)/5
Let q(o) = 3*o - 10. Let m be q(0). Let t(a) = -a**2 - 10*a + 4. Let u be t(m). Find g, given that 2/13*g**5 + 0*g**u - 2/13*g**3 + 0*g + 0*g**2 + 0 = 0.
-1, 0, 1
Let r(t) be the first derivative of 4*t**3 - 184*t**2 + 240*t - 18. Let r(z) = 0. Calculate z.
2/3, 30
Suppose 0 = -4*r + 4. Let n(h) = 4*h + 3. Let z be n(r). Determine i, given that 1 - 8*i - 17*i + 16*i**2 + z + 5*i - 4*i**3 = 0.
1, 2
Suppose 4*a + 3*p = 4*p + 21, 5*a = -2*p + 10. Let c(k) be the first derivative of 0*k + 9/20*k**a + 1/10*k**2 + 1 + 2/5*k**3. Factor c(g).
g*(3*g + 1)**2/5
Find z, given that 0 - 8/11*z - 1/11*z**4 + 5/11*z**3 - 2/11*z**2 = 0.
-1, 0, 2, 4
Suppose -11 = -2*l + 1. Suppose -2*w + 0 = -l. Factor 77*u**2 - 1 - 2 + 9*u**w + 4*u - 74*u**2 - 13*u.
3*(u - 1)*(u + 1)*(3*u + 1)
Let b = -73 + 61. Let o(p) = 13*p**4 + 16*p**3 - 5*p**2 + 5. Let w(g) = 32*g**4 + 40*g**3 - 12*g**2 + 12. Let j(f) = b*o(f) + 5*w(f). Let j(y) = 0. Calculate y.
-2, 0
Let -69*g + 275985*g**2 - g**3 - 2*g**3 + 45 - 275958*g**2 = 0. Calculate g.
1, 3, 5
Let i(b) be the second derivative of -b**6/240 + 37*b**5/40 - 1825*b**4/32 - 37*b**3/12 + 1369*b**2/4 + 6*b - 1. Solve i(u) = 0.
-1, 1, 74
Let r(h) be the second derivative of 12*h + 0 + 2/15*h**6 + 0*h**2 - 4/5*h**5 - 4/3*h**3 + 5/3*h**4. Find s, given that r(s) = 0.
0, 1, 2
Let l(u) be the first derivative of 2*u**5/25 - u**4/10 - 2*u**3/5 + u**2/5 + 4*u/5 + 10. Determine r so that l(r) = 0.
-1, 1, 2
Let a be 10/4 + (-7)/(-14). Suppose -o - a*i - 12 = 0, -3*i + 3 - 6 = 4*o. Factor 0 + 0*l + 1/4*l**5 + 3/4*l**o - 3/4*l**4 - 1/4*l**2.
l**2*(l - 1)**3/4
Let y be (-4)/42 - (-510)/945. Factor 2/9*v**2 - y*v + 2/9*v**3 + 0.
2*v*(v - 1)*(v + 2)/9
Factor -2/13*m**3 + 162/13 - 198/13*m + 38/13*m**2.
-2*(m - 9)**2*(m - 1)/13
Let z(w) be the first derivative of -2*w**5/5 - 8*w**4 + 34*w**3/3 + 61. Factor z(r).
-2*r**2*(r - 1)*(r + 17)
Let h(f) be the second derivative of 3*f**5/20 + 27*f**4/4 - f**3/2 - 81*f**2/2 - 24*f - 7. Factor h(w).
3*(w - 1)*(w + 1)*(w + 27)
Let f(j) be the second derivative of j**4/42 - 30*j**3/7 + 2025*j**2/7 + 32*j + 3. Factor f(z).
2*(z - 45)**2/7
Let t(o) = -44 + 4 - 5*o - 28 - 15. Let w be t(-17). Find r, given that -2/3 - 2/9*r**w - 8/9*r = 0.
-3, -1
Let z(y) be the third derivative of 7*y**2 - 1/15*y**5 + 0*y + 0 + 8/3*y**3 - 1/2*y**4. Let z(n) = 0. Calculate n.
-4, 1
Let h(l) be the third derivative of l**7/70 - 7*l**6/40 + 11*l**5/20 + 7*l**4/8 - 6*l**3 + 562*l**2. Find r, given that h(r) = 0.
-1, 1, 3, 4
Let w be (-60)/84 - 76/(-28). Factor 12/5*a + 0 + 3/5*a**w.
3*a*(a + 4)/5
Let x(d) be the third derivative of -d**7/210 - d**6/15 - d**5/5 + 108*d**2. Factor x(g).
-g**2*(g + 2)*(g + 6)
Let c be 5*3 + (-9)/3*1. Factor -354*p**3 + 348*p**3 + 3*p - 2 - 1 - p**4 - c*p**2 - 13*p.
-(p + 1)**3*(p + 3)
Let q(m) = -m**3 - 8*m**2 - 14*m - 3. Let w be q(-3). Let j(c) = -c**2 - 10*c - 21. Let g be j(w). Factor 0 - 4/7*f - 6/7*f**2 + 10/7*f**g.
2*f*(f - 1)*(5*f + 2)/7
Let x(o) be the third derivative of 11*o**2 + 0*o + 1/90*o**5 + 0 + 0*o**4 - 4/9*o**3. Find c such that x(c) = 0.
-2, 2
Let l = -4261 - -4261. Suppose -5/2*c**3 + 5/2*c**5 - 5/2*c**2 + l*c + 5/2*c**4 + 0 = 0. What is c?
-1, 0, 1
Suppose -2*b + 15 = 3*b. Let d(n) = -8*n**4 - 9*n**3 - 96*n**2 - 256*n - 249. Let p(x) = x**4 - x**3 - 1. Let k(c) = b*d(c) + 21*p(c). Solve k(q) = 0 for q.
-4
Let f be (-160)/(-45) + 11/(99/(-24)). Factor 2/3*c**2 - 8/9 + 2/9*c**4 + f*c - 8/9*c**3.
2*(c - 2)**2*(c - 1)*(c + 1)/9
Let i = 77 + -83. Let l(s) = s**2 - s + 1. Let o(t) = -2*t**2 + 8*t + 1. Let x(k) = i*l(k) - 2*o(k). Factor x(c).
-2*(c + 1)*(c + 4)
Factor 0*m**3 - 1452*m**2 + 2901*m**2 - 1437*m**2 + 36*m + 0*m**4 - 21*m**3 + 3*m**4.
3*m*(m - 6)*(m - 2)*(m + 1)
Solve -3*s**5 + 24/5 + 111/5*s**4 + 57*s**2 - 138/5*s - 267/5*s**3 = 0 for s.
2/5, 1, 4
Suppose -20 = -7*b + 1. Factor 0*o**4 - 6*o**4 - 8*o**b - 6*o**2 - 4*o + 4*o**4 - 4*o**2.
-2*o*(o + 1)**2*(o + 2)
Let o(h) be the third derivative of 9*h**6/320 - 3*h**5/40 - 35*h**4/64 + 25*h**3/8 - 59*h**2. Find s such that o(s) = 0.
-2, 5/3
Solve 200*k**2 + 18560*k + 30*k**2 - 60*k**3 + 125 + 5*k**4 - 18860*k = 0.
1, 5
Let b be (-2478)/(-413) + (29/(-8) + -2 - 0). Factor -3/8*c**5 - 3/2*c**4 + 0 - b*c - 3/2*c**2 - 9/4*c**3.
-3*c*(c + 1)**4/8
Let s be 1/(-3)*341/62*-1. Suppose 1/2 - 1/3*d**4 - 1/6*d**3 + s*d**2 - 11/6*d = 0. Calculate d.
-3, 1/2, 1
Suppose 0 = 5*v + 3 - 28. Suppose -s = -0*s - v. Find d, given that 4*d**5 + d - 9*d**4 - 8*d**2 + 15*d**3 + d**2 + d**4 - s*d**4 = 0.
0, 1/4, 1
Let z(j) be the third derivative of 1/15*j**4 + 1/150*j**5 + 0 + 1/5*j**3 + 7*j**2 + 0*j. Factor z(l).
2*(l + 1)*(l + 3)/5
Let i be 10/3*(-12)/(-10). Suppose 3*x + x + 2 - 2*x**2 + i*x**2 = 0. What is x?
-1
Let b(u) be the second derivative of u**6/240 - 11*u**5/80 + 23*u**4/32 + 143*u**3/12 + 169*u**2/4 - 28*u + 1. Factor b(r).
(r - 13)**2*(r + 2)**2/8
Let a be 6/4*(-2)/32. Let z = a + 41/96. Factor -1/6*d - 1/6*d**2 + z.
-(d - 1)*(d + 2)/6
Let j(r) be the second derivative of r**7/126 - r**6/45 - 2*r**5/15 - r**4/18 + 7*r**3/18 + 2*r**2/3 - 258*r. Let j(t) = 0. What is t?
-1, 1, 4
Let z(a) be the second derivative of -a**5/90 + 13*a**4/54 + a**3/3 - 45*a**2 - 2*a + 171. Factor z(g).
-2*(g - 9)**2*(g + 5)/9
Let b(g) be the third derivative of -2*g**7/105 - g**6/30 + 2*g**5/15 + 5*g**2 - 3*g. Factor b(r).
-4*r**2*(r - 1)*(r + 2)
Suppose 3*n = 0, 5*a + 6*n = n - 160. Let c be a/(-24)*(-9)/(-30). Suppose 0*k + c*k**3 + 4/5*k**2 - 2/5*k**4 + 0 = 0. What is k?
-1, 0, 2
Let l(b) = 37*b - 111. Let y be l(3). Factor -1/2*r**4 + r**2 + 0*r + 1/2*r**3 + y.
-r**2*(r - 2)*(r + 1)/2
Let f = -1290 - -270901/210. Let o(c) be the third derivative of 0*c**3 + 0 - 1/735*c**7 - 4*c**2 - f*c**5 + 0*c + 1/210*c**6 + 0*c**4. Factor o(q).
-2*q**2*(q - 1)**2/7
Let v(d) be the third derivative of 0 + 9/10*d**3 + 0*d + 14*d**2 + 3/20*d**4 + 1/100*d**5. Let v(g) = 0. Calculate g.
-3
Suppose 5*b - 6*b = -349. Find z such that -b*z**2 + 4*z**3 + 16 - 5*z - 11*z + 0 + 345*z**2 = 0.
-2, 1, 2
Let i(q) be the second derivative of q**5/12 - 7*q**4/6 + 16*q**3/3 - 16*q**2/3 + 17*q. Factor i(o).
(o - 4)**2*(5*o - 2)/3
Let i(n) be the first derivative of 0*n + 2/21*n**3 - 3/7*n**2 - 4. Factor i(f).
2*f*(f - 3)/7
Suppose -8 = -t - 6. Let f(b) = -b**2 + b + 6. Let n be f(0). What is v in -n*v - 3*v**3 - 60*v**2 + 0 + 69*v**t + 0 = 0?
0, 1, 2
Factor 1734/5 - 3/5*s**3 - 1071/5*s + 108/5*s**2.
-3*(s - 17)**2*(s - 2)/5
Suppose 0 = 3*g + 2*v - 11, -5*g + 14*v + 16 = 15*v. Factor 8/7*b - 2/7*b**g + 0 + 0*b**2.
-2*b*(b - 2)*(b + 2)/7
Let v(n) be the first derivative of 1/60*n**4 + n + 1/10*n**3 + 1/5*n**2 + 1. Let c(z) be 