e of 1/60*g**5 - 2/9*g**3 - 1/24*g**4 - 1/3*g**2 + 1/180*g**6 + 9*g + 0. Factor f(k).
(k - 2)*(k + 1)**2*(k + 2)/6
Suppose -b = 1, -8 = 2*g - 5*g + 2*b. Suppose -g*d = -d + 3*d. Solve 1/3*h + 1/3*h**2 + d = 0.
-1, 0
Let s(m) = 5*m**5 + 4*m**4 - 6*m**3 - 3*m**2. Let w be 56/(-21) - 2/6. Let g(f) = -f**5 + f**2. Let b(u) = w*g(u) - s(u). Factor b(l).
-2*l**3*(l - 1)*(l + 3)
Let p(t) be the first derivative of -4 + 363/2*t + 1/2*t**3 - 33/2*t**2. Factor p(i).
3*(i - 11)**2/2
Factor 1/2*j + 13/8*j**3 + 3/2*j**2 + 3/4*j**4 + 0 + 1/8*j**5.
j*(j + 1)**2*(j + 2)**2/8
Let y(u) = -u**2 - u + 1. Let s(f) = -12*f**2 - 23*f + 6. Let w(p) = 2*s(p) - 18*y(p). Let g(o) = o + 1. Let j(n) = 4*g(n) - w(n). Factor j(b).
2*(b + 5)*(3*b + 1)
Let s(v) be the first derivative of -v**3/3 - 24*v**2 - 576*v - 132. What is w in s(w) = 0?
-24
Factor 62*b - 204697*b**2 + 48*b + 111 + 204696*b**2.
-(b - 111)*(b + 1)
Determine w so that 120/11*w - 1800/11 - 2/11*w**2 = 0.
30
Let q(o) = -52*o**3 - 172*o**2 + 68*o + 12. Let s(x) = 53*x**3 + 171*x**2 - 68*x - 11. Let i(g) = 5*q(g) + 4*s(g). Factor i(l).
-4*(l + 4)*(2*l - 1)*(6*l + 1)
Suppose -2*w - 2 = -2*i + 8, -3*w + 3 = 0. Let d(v) = -i*v + v - v**2 + 5*v - 2 - 3*v. Let x(s) = s + 1. Let h(n) = 3*d(n) + 6*x(n). Factor h(u).
-3*u*(u + 1)
Let o be (-280)/(-50) - (2 - 14/10). Suppose -o*x = 4*x. Factor -1/5*a**4 + 0*a**2 + x*a - 2/5*a**3 + 0 + 1/5*a**5.
a**3*(a - 2)*(a + 1)/5
Suppose 108*b = 109*b. Let s(z) be the first derivative of b*z**3 + 0*z + 3/20*z**4 - 3/10*z**2 - 1. Let s(u) = 0. What is u?
-1, 0, 1
Let n(b) = 5*b**4 - 36*b**3 + 80*b**2 + 4. Let q(t) = 5*t**4 - 35*t**3 + 80*t**2 + 5. Let h(g) = 5*n(g) - 4*q(g). Find w such that h(w) = 0.
0, 4
Solve j**4 + 5/2*j + 1/2*j**2 - 5/2*j**3 - 3/2 = 0.
-1, 1, 3/2
Factor 618/7*n - 216/7 + 15/7*n**3 - 201/7*n**2.
3*(n - 9)*(n - 4)*(5*n - 2)/7
Suppose -6*u + 91 = u. Factor -35*o + 0*o**4 - u*o**3 - 20*o**2 - 10 - 12*o**3 - 5*o**4 - 25*o**2.
-5*(o + 1)**3*(o + 2)
Let p(t) be the third derivative of -t**5/20 - 75*t**4/8 - 37*t**3 + t**2 - 87*t. Let p(v) = 0. Calculate v.
-74, -1
Let z be 95 + 2*(4 + -5)/(-1). Let c = z + -482/5. Factor -c*n**2 + 0 + 1/5*n.
-n*(3*n - 1)/5
Factor -27*o**4 - 4*o**3 + 42*o**4 - 19*o**4.
-4*o**3*(o + 1)
Let y(j) be the first derivative of 10*j**3/3 - 195*j**2/2 + 350*j - 328. Factor y(z).
5*(z - 2)*(2*z - 35)
Let v be 48/60*10/4. Let s be (-1)/(-4) - 9/(-12). Factor s - 1/2*r**3 - 5/2*r + 2*r**v.
-(r - 2)*(r - 1)**2/2
Let h = 6 - 14. Let u = h - -11. Factor 6*l + 2 - 6*l**u - 6 + 4*l**3.
-2*(l - 1)**2*(l + 2)
Factor -3/4*y**3 - 2187/4*y + 0 + 81/2*y**2.
-3*y*(y - 27)**2/4
Factor -3/4*m**2 - 768 + 48*m.
-3*(m - 32)**2/4
Let b(y) be the second derivative of 1/2*y**3 - 18*y - 3/10*y**5 + 0 + 1/14*y**7 - 3/2*y**2 + 1/2*y**4 - 1/10*y**6. Factor b(q).
3*(q - 1)**3*(q + 1)**2
Let n = -87157 + 20917609/240. Let c = 3/80 - n. What is a in 2/3 + c*a**4 - 7/3*a - 5/3*a**3 + 3*a**2 = 0?
1, 2
Let l(p) = 6*p**3 - 15*p**2 - 9*p - 9. Let g(v) = v**3 + v**2 + v + 1. Let n = 2 + 7. Let o(d) = n*g(d) + l(d). Solve o(w) = 0 for w.
0, 2/5
Let z(q) be the second derivative of 0*q**2 + 0 - 12*q + 0*q**3 - 1/10*q**5 - 5/6*q**4. Determine m, given that z(m) = 0.
-5, 0
Let u = 194 + -192. Suppose -f = r, u*r = 6*r + 2*f - 8. Factor -14/5*m**3 + 0*m - 4/5*m**2 + 0 - 2*m**r.
-2*m**2*(m + 1)*(5*m + 2)/5
Let l(d) be the third derivative of -7*d**6/720 + 71*d**5/180 - 173*d**4/144 + 19*d**3/18 - 509*d**2. Suppose l(h) = 0. Calculate h.
2/7, 1, 19
Suppose 0 = 2*w - 5*u + 21, 0 = w + u + 45 - 52. Factor -96/5 + 288/5*i - 126/5*i**w + 3*i**3.
3*(i - 4)**2*(5*i - 2)/5
Let o be (-3)/6 - 1199/(-2376). Let n(w) be the third derivative of 0 - o*w**4 + 0*w - 1/540*w**5 - 6*w**2 + 1/1080*w**6 + 1/54*w**3. Find v such that n(v) = 0.
-1, 1
Let p be (-102)/18*(6 + 0). Let c be (p/(-6) + -7)/((-52)/6). Factor 2/13*y**2 + 0 + c*y.
2*y*(y + 1)/13
Let s(z) = -z**3 - 2*z**2 + 5. Let v be s(-2). What is m in 4*m**3 - 18*m - 2*m**5 + 16*m + 0*m**v = 0?
-1, 0, 1
Find r, given that -110*r - 135/4*r**2 - 75 + 5/4*r**3 = 0.
-2, -1, 30
Let o(q) be the second derivative of q**5/30 - 3*q**4 + 108*q**3 - 1944*q**2 + 20*q. Determine u, given that o(u) = 0.
18
What is y in 3*y**4 - 4*y**5 - 15*y**2 + 10*y**3 - 16*y**3 + 26*y**3 - 7*y**4 + 3*y**2 = 0?
-3, 0, 1
Let d(v) be the third derivative of -2*v**7/105 + 11*v**6/30 - v**5/5 - 203*v**4/6 + 392*v**3/3 - 47*v**2. Factor d(p).
-4*(p - 7)**2*(p - 1)*(p + 4)
Let i(s) be the first derivative of -s**7/2940 + s**6/252 - s**5/60 + s**4/28 + 46*s**3/3 + 37. Let w(r) be the third derivative of i(r). What is m in w(m) = 0?
1, 3
Find g such that 9*g**2 - 23*g + 10*g**2 + 4*g**2 - 27*g**2 + 19*g + 48 = 0.
-4, 3
Suppose 2 = -2*s + 10. Suppose -6*v**3 - v**s - 2*v**2 - v**3 - 2*v**4 - 2*v**4 = 0. Calculate v.
-1, -2/5, 0
Let c(m) = 15*m**4 + 15*m**3 + 6*m**2. Suppose 0*i = 2*i + 14. Let u(n) = -31*n**4 - 30*n**3 - 13*n**2. Let p(g) = i*c(g) - 3*u(g). Factor p(r).
-3*r**2*(r + 1)*(4*r + 1)
Let m(j) = -45*j - 221. Let g be m(-5). Let u(p) be the first derivative of 0*p**3 + 0*p**5 + 0*p**2 - 1/24*p**6 + 0*p + 1/16*p**4 - g. What is t in u(t) = 0?
-1, 0, 1
Let r = 175 + -175. Let a(g) be the third derivative of r + 3*g**2 + 0*g - 1/20*g**5 - 1/2*g**4 - 3/2*g**3. Factor a(v).
-3*(v + 1)*(v + 3)
Factor -1/6*j**4 - 28/3 - 13*j**2 + 58/3*j + 19/6*j**3.
-(j - 14)*(j - 2)**2*(j - 1)/6
Let i(n) be the second derivative of -2*n**7/21 + 14*n**6/15 - 2*n**5 - 2*n**4/3 + 22*n**3/3 - 10*n**2 - 3*n - 20. Factor i(u).
-4*(u - 5)*(u - 1)**3*(u + 1)
Let w(i) be the second derivative of -i**7/42 - i**6/15 + 3*i**5/20 + 2*i**4/3 + 2*i**3/3 + 72*i. Factor w(n).
-n*(n - 2)*(n + 1)**2*(n + 2)
Let l be (-34)/(-6) - (6 + -1). Suppose 2/3*p**2 - 1/3*p**5 + 0 + 1/3*p + 0*p**3 - l*p**4 = 0. What is p?
-1, 0, 1
Find l such that -2/3*l**3 - 146/3 - 142/3*l**2 + 290/3*l = 0.
-73, 1
Let r(p) be the first derivative of -p**3 - 39*p**2 - 144*p + 61. Determine h so that r(h) = 0.
-24, -2
Let b = -3/8 + 55/104. Factor b*w**4 + 4/13*w**3 - 6/13*w**2 + 8/13 - 8/13*w.
2*(w - 1)**2*(w + 2)**2/13
Let i be 180/40 - -1*(-4 + 0). Let l(z) be the first derivative of i*z**2 + 0*z**3 + 0*z - 6 - 1/4*z**4. Factor l(m).
-m*(m - 1)*(m + 1)
Let d(l) = 190*l**3 - 6940*l**2 - 14285*l - 7100. Let i(b) = 7*b**3 - 257*b**2 - 529*b - 263. Let n(c) = -2*d(c) + 55*i(c). Find a such that n(a) = 0.
-1, 53
Let n(z) be the third derivative of -z**9/3024 + z**8/1344 + z**7/504 - z**6/144 + 5*z**4/24 + 22*z**2. Let f(t) be the second derivative of n(t). Factor f(o).
-5*o*(o - 1)**2*(o + 1)
Let c = 1/135 + 14/135. Let k(g) be the third derivative of 0*g + c*g**3 - 1/72*g**4 + 3*g**2 + 0 - 1/180*g**5. Factor k(z).
-(z - 1)*(z + 2)/3
Solve -9/4*w**2 + 9/4 + 1/4*w - 1/4*w**3 = 0.
-9, -1, 1
Let f = 85/8 - 877/72. Let d = f - -26/9. Let 2/3*z**2 + 2/3 + d*z = 0. Calculate z.
-1
Let r = -2/5399 - 1376737/21596. Let o = r + 64. Factor -o*k**2 - 3/4 + k.
-(k - 3)*(k - 1)/4
Suppose 0 = -y + 5*q - 8, -3*y + 0*q + 3*q = 0. Factor -375/2 - 225/2*k - 3/2*k**3 - 45/2*k**y.
-3*(k + 5)**3/2
Suppose 6*f - 41 = 115. Let m be (-41)/(-13) - 4/f. Solve -33*v**2 + 33*v**2 + 6*v**3 + 2*v**4 + 0*v**m - 8*v = 0.
-2, 0, 1
Let j(t) be the first derivative of t**4/8 + 3*t**3 + 33*t**2/4 + 8*t + 269. Factor j(u).
(u + 1)**2*(u + 16)/2
Let o(y) be the second derivative of 7*y**4/3 + 28*y**3/3 + 20*y**2 - 18*y. Let v(x) = -x**2 - x + 1. Let p(g) = o(g) + 24*v(g). Factor p(l).
4*(l + 4)**2
Let m be ((-1284)/144 - -9)*2. Let w(h) be the second derivative of 1/18*h**3 + 0 - m*h**2 + 13*h - 1/60*h**5 + 1/36*h**4. What is u in w(u) = 0?
-1, 1
Let k(g) = 6*g**2 + g - 2. Let b be k(-1). Let 3/2*l**2 - 1/2*l**b - l + 0 = 0. What is l?
0, 1, 2
Find r, given that -8/3*r**3 + 0 + 2/3*r**4 - 4/3*r + 10/3*r**2 = 0.
0, 1, 2
Let g(p) = -4*p**3 - 6*p**2 + 3*p + 5. Let v(n) = 10*n**3 + 18*n**2 - 8*n - 16. Let x(u) = 8*g(u) + 3*v(u). Factor x(b).
-2*(b - 2)**2*(b + 1)
Suppose -2*g + 5*d + 43 = 38, -2*g - 5*d - 5 = 0. Let b(t) be the second derivative of -1/12*t**4 + 8*t - 1/2*t**2 + g - 1/3*t**3. Find u such that b(u) = 0.
-1
Let s(y) be the third derivative of 9/28*y**8 - 4/3*y**4 + 0*y + 0 - 9/10*y**6 - 54/35*y**7 + 17/3*y**5 + 4*y**2 - 8*y**3. Let s(u) = 0. What is u?
-1, -1/3, 2/3,