j**2 + 0 + 3/8*j.
-3*j*(j + 1)*(3*j - 1)/8
Let s(d) be the third derivative of d**6/90 - 7*d**5/15 + 13*d**4/6 - 38*d**3/9 + 66*d**2. Factor s(c).
4*(c - 19)*(c - 1)**2/3
Let k = -3 + 5. Suppose -k*a + 3*v + v + 12 = 0, 0 = a + v - 15. Factor 4 + 9 + 3*w**2 - 1 - a*w.
3*(w - 2)**2
Let l = -15305 - -15307. Solve -6/7*x**l + 0*x - 2/7*x**4 + 10/7*x**3 - 2/7*x**5 + 0 = 0.
-3, 0, 1
Factor 45*n + 5*n**2 - 23521 + 23521.
5*n*(n + 9)
Let l = 13142/9 - 1460. Factor 0 - 4/9*d + 2/9*d**3 - l*d**2.
2*d*(d - 2)*(d + 1)/9
Let r = -28 - -30. Suppose -r*l + 0 + 6 = 0. Factor -1 - 2 + 2 - o + l - o**2.
-(o - 1)*(o + 2)
Let p be 1 + -15*5/(-25). Let g(u) be the third derivative of -p*u**2 + 1/15*u**5 - 1/3*u**3 + 0*u - 7/24*u**4 + 0. Factor g(v).
(v - 2)*(4*v + 1)
Let g be 130/(-40)*(-8 - 0). Suppose -g = 5*v - 46. Factor -3*t**2 - 4/3 + v*t + 2/3*t**3.
(t - 2)**2*(2*t - 1)/3
Suppose -6 = 3*o - 5*o. Suppose 3*q = -o*d + d + 2, -3*d = -4*q - 20. Factor 9*k**3 + 3*k**2 + 22*k**d - 13*k**4 + 3*k**5 + 0*k**5.
3*k**2*(k + 1)**3
Factor 0 - 5/6*a**3 + 0*a - 5/6*a**5 + 5/3*a**4 + 0*a**2.
-5*a**3*(a - 1)**2/6
Let b be 7/3 - (20/330*11 - 0). Solve 14/3*y**3 - b*y**2 - 2/3*y + 1/6 - 5/2*y**4 = 0 for y.
-1/3, 1/5, 1
Let t = 17/90 - -11/18. Solve 4/5*h**5 - 4/5*h**3 - 4/5*h**2 + 0*h + 0 + t*h**4 = 0.
-1, 0, 1
Let l be ((-4)/10)/((-9)/135). Factor -9*j + 46*j**3 - 26*j**3 - 4 - l*j**2 - 21*j**3.
-(j + 1)**2*(j + 4)
Let q(y) be the first derivative of 2*y**3/27 - 17*y**2/9 + 32*y/9 + 18. Factor q(f).
2*(f - 16)*(f - 1)/9
Suppose 2*f - 6 = 2. Let s(h) = 10*h**3 + 38*h**2 + 32*h - 8. Let y(g) = -5*g**3 - 19*g**2 - 16*g + 4. Let b(t) = f*s(t) + 7*y(t). Factor b(p).
(p + 2)**2*(5*p - 1)
Suppose 15 = y + 4*n, 8*y - 10 = 6*y - 3*n. Let d be y/(36/(-8) + 1). Factor -10/7*q - d*q**2 - 8/7.
-2*(q + 1)*(q + 4)/7
Let q be (-836)/(-168) + (20/(-110))/(12/(-11)). Suppose -q*y - 108/7 - 3/7*y**2 = 0. What is y?
-6
Let p(x) = x**3 + 9*x**2 - 9*x + 14. Let o be p(-10). Solve c**2 - 5*c**o + 4*c**4 + 69*c - 70*c + c**3 = 0.
-1, 0, 1
Solve 8/9*w**4 - 8/9*w**5 - 4/9 + 22/9*w - 40/9*w**2 + 22/9*w**3 = 0.
-2, 1/2, 1
Let h be (92/(-16))/((-1)/20). Let t = 117 - h. Factor -4 + 8*a - 6*a**2 + t*a**3 - 1/4*a**4.
-(a - 2)**4/4
Let b = -148 - -152. Let m(h) be the third derivative of -1/6*h**4 - 7/15*h**5 + 0 + b*h**2 + 0*h + 0*h**3 - 49/120*h**6. Find y, given that m(y) = 0.
-2/7, 0
Let t(i) = 1 - 3 + 4 - 1. Let m(w) = 20*w**2 + 95*w - 21. Let n(p) = m(p) - 4*t(p). Factor n(g).
5*(g + 5)*(4*g - 1)
Let 14/19*i**5 + 32/19*i**4 + 8/19*i**3 + 0 + 0*i + 0*i**2 = 0. Calculate i.
-2, -2/7, 0
Let w(b) = -b**3 + 8*b**2 - b + 15. Let h be w(8). Suppose f + h*f = 0. Determine n so that 1/2*n**4 + f*n + 1/2*n**3 + 0 + 0*n**2 = 0.
-1, 0
Find q such that -1331/3*q**4 + 4477/3*q**3 + 1908*q + 360 + 3234*q**2 = 0.
-6/11, 5
Suppose -5*q - 19 = 5*y - 54, 0 = 2*q - 8. Suppose 5*f = -y*h + 19, -f - 5*h = 3*f - 10. Factor -f*a**2 + 15*a - 20 - 5*a + 10*a.
-5*(a - 2)**2
Determine k, given that -5*k**4 - 98*k**2 + 16*k + 0*k**4 + 20*k**3 + 3*k**4 + 40*k**2 + 96 = 0.
-1, 3, 4
Suppose -38*x = -39*x + 9. Let v be (-2)/(-20)*(x + 7). Factor -4/5*r - v + 4/5*r**2.
4*(r - 2)*(r + 1)/5
Let z be 4 - (3 + 4 + -5 + 2). Factor d**3 + 3/2*d**4 + 0*d + 0 + z*d**2 + 1/2*d**5.
d**3*(d + 1)*(d + 2)/2
Let u(t) = -t**3 + 11*t**2 - 10*t - 1. Let c be u(10). Let m(d) = -d - 1. Let x(a) = -2*a**3 - 30*a**2 - 147*a - 247. Let i(q) = c*x(q) - 3*m(q). Factor i(h).
2*(h + 5)**3
Let f(b) be the first derivative of 0*b**2 - 4 + 12/5*b - 1/5*b**3. Factor f(l).
-3*(l - 2)*(l + 2)/5
Let l(x) be the second derivative of x**7/84 - x**6/15 + 3*x**5/20 - x**4/6 + x**3/12 + 26*x + 1. Let l(d) = 0. Calculate d.
0, 1
Let h(o) = -50*o**2 + 1235*o - 2300. Let t(l) = 13*l**2 - 309*l + 574. Let m(a) = 4*h(a) + 15*t(a). Solve m(y) = 0.
2, 59
Let i = -23483 - -23483. Factor i*d + 4/5 - 4/5*d**2.
-4*(d - 1)*(d + 1)/5
Suppose -50*w + 49*w = z - 16, -2*z = -4*w + 16. Solve 0 + 4/9*f - 74/9*f**3 - z*f**4 + 2/9*f**2 = 0 for f.
-1, -1/4, 0, 2/9
Let -702*s**3 + 6*s**2 + 349*s**3 + 351*s**3 = 0. What is s?
0, 3
Suppose 5*b - 3*r + 5 = 2*r, -2*r = 2*b + 2. Let n be (2/b + 3/2)*-1. Factor -n - 1/2*s**5 + 3/2*s + 3/2*s**4 - s**2 - s**3.
-(s - 1)**4*(s + 1)/2
Determine i, given that -588*i + 243*i**4 + 67 + 537*i**3 + 26 + 930*i**2 - 21 + 570*i**3 = 0.
-3, -2, 2/9
Let c(o) = 3*o**2 - 13*o + 16. Let a be c(2). Factor 0 - 1/4*l**a - 1/2*l + 3/4*l**4 + l**3.
l*(l + 1)**2*(3*l - 2)/4
Let k(y) be the first derivative of y**6/90 - y**5/10 + y**4/3 - 17*y**3/3 - 15. Let o(j) be the third derivative of k(j). What is v in o(v) = 0?
1, 2
Let u(c) be the second derivative of c**5/70 - 2*c**4 + 112*c**3 - 3136*c**2 - 209*c + 2. Find g, given that u(g) = 0.
28
Let t(q) be the first derivative of 5/72*q**4 - 1/45*q**5 + q**2 - 1/9*q**3 + 1/360*q**6 + 0*q - 2. Let b(g) be the second derivative of t(g). Factor b(r).
(r - 2)*(r - 1)**2/3
Factor -140*i - 2/5*i**2 - 12250.
-2*(i + 175)**2/5
Determine h so that 3*h**2 + 9 - 4*h**2 + 6*h**2 + 1 + 15*h = 0.
-2, -1
Let j(v) be the third derivative of 4*v**7/945 - v**6/45 + v**5/30 - v**4/54 - 49*v**2. Factor j(t).
2*t*(t - 2)*(2*t - 1)**2/9
Let z(i) be the second derivative of i**6/90 + i**3 + 15*i. Let q(u) be the second derivative of z(u). Factor q(t).
4*t**2
Let r be 9/39 - (-1082241)/25389. Solve 144/7*y**4 + 0*y + r*y**3 + 172/7*y**2 - 16/7 = 0.
-1, -2/3, 1/4
Let z(m) be the third derivative of -m**6/240 + m**5/40 + 3*m**4/16 - 9*m**3/4 + 27*m**2. What is l in z(l) = 0?
-3, 3
Let f = 3474/5 + -24251/45. Let v = f - 155. Factor 2*w**4 + 32/9*w**2 + v*w + 14/3*w**3 + 0.
2*w*(w + 1)*(3*w + 2)**2/9
Let v = 1338 - 16055/12. Let l(g) be the second derivative of 0 + 1/3*g**2 - 1/72*g**4 + 8*g - v*g**3. Let l(y) = 0. Calculate y.
-4, 1
Let f(i) be the second derivative of -i**6/70 + 9*i**5/35 - 8*i**4/7 - 10*i + 5. Factor f(u).
-3*u**2*(u - 8)*(u - 4)/7
Let q = -32 - -1315/41. Let r = q - -319/123. Suppose -10/3*k**3 + 2*k**2 + 8*k + r = 0. What is k?
-1, -2/5, 2
Let w(l) be the third derivative of l**5/120 + 19*l**4/48 + 3*l**3/2 - 459*l**2. Determine m so that w(m) = 0.
-18, -1
Let a = 6 + -4. Suppose a*p - 9 = -5. Find h, given that -5*h + p*h**2 + 11*h + 10 + 6*h = 0.
-5, -1
Find g such that -8 + 23*g + 106*g**3 - 13*g + 40*g**3 + 49*g + 14*g**5 - 3*g - 134*g**2 - 74*g**4 = 0.
2/7, 1, 2
Let y(c) be the third derivative of -c**7/840 + c**6/60 - c**5/10 + 3*c**4/8 - 10*c**2. Let v(s) be the second derivative of y(s). Let v(p) = 0. Calculate p.
2
Let f(b) be the first derivative of -b**6/1080 + b**5/180 + b**4/24 - 3*b**3 - 18. Let q(a) be the third derivative of f(a). Factor q(n).
-(n - 3)*(n + 1)/3
Let a(m) be the first derivative of 0*m + 4/3*m**4 - 8/3*m**3 + 8 - 1/3*m**5 + 1/30*m**6 + 1/2*m**2. Let h(k) be the second derivative of a(k). Factor h(j).
4*(j - 2)**2*(j - 1)
Let 18/17*h**3 - 14/17*h**4 + 0 - 2/17*h**5 - 16/17*h + 14/17*h**2 = 0. Calculate h.
-8, -1, 0, 1
Find q, given that -2/5*q + 1/10*q**4 - 1/2*q**3 + 4/5*q**2 + 0 = 0.
0, 1, 2
Let m(u) = u**2 - 13*u + 38. Let f be m(10). Suppose 17 = -f*h + 17. Factor h - 2/13*c**2 + 6/13*c.
-2*c*(c - 3)/13
Let m(r) be the second derivative of 3/4*r**2 + 14*r - 3/16*r**4 - 2 + 5/8*r**3. Factor m(t).
-3*(t - 2)*(3*t + 1)/4
Let z(a) = -6*a**2 + 91*a + 33. Let x(t) = -6*t**2 + 87*t + 33. Let v(p) = 7*x(p) - 6*z(p). Factor v(b).
-3*(b - 11)*(2*b + 1)
Let p(d) be the third derivative of -5/6*d**4 + 12*d**2 + 0 - 1/336*d**8 + 8/3*d**3 + 0*d + 1/105*d**7 + 11/120*d**6 - 2/15*d**5. Let p(m) = 0. Calculate m.
-2, 1, 4
Let d be 14/6*(-2)/(-4). Suppose -1/3 - 5/6*n**2 + d*n = 0. What is n?
2/5, 1
Let c be (26 - 29)/(42/(-8)). Let t = -146 + 148. Factor 0*q**t + 0*q + 2/7*q**5 + 0 + 2/7*q**3 + c*q**4.
2*q**3*(q + 1)**2/7
Let l = 2764 + -2761. Factor -4/3 + 1/3*h**2 - 1/3*h**l + 4/3*h.
-(h - 2)*(h - 1)*(h + 2)/3
Let m(s) be the first derivative of s**3 - 24*s**2 + 192*s - 211. Factor m(f).
3*(f - 8)**2
Let m(w) be the third derivative of 0 + 0*w + 0*w**4 + 1/60*w**5 + 16*w**2 + 0*w**3 + 1/120*w**6. Factor m(s).
s**2*(s + 1)
Let i = -523 + 525. Let k(w) be the first derivative of 0*w - 7 + 1/3*w**4 + 1/3*w**i + 1/15*w**5 + 5/9*w**3. Factor k(f).
f*(f + 1)**2*(f + 2)/3
Let h be 5 - (8 - 7)*1. Let b(s) be the