y - 5*y. Find o such that 7/6*o**2 - 5/2*o**3 - 1/6*o - 2/3*o**5 + 13/6*o**4 + y = 0.
0, 1/4, 1
What is h in 74/9*h + 20/9*h**4 + 104/9*h**2 + 68/9*h**3 + 20/9 + 2/9*h**5 = 0?
-5, -2, -1
Let j(f) = -4*f**4 - 12*f**3 + 8*f**2 + 15*f - 7. Let a(s) = 9*s**4 + 37*s**3 - 23*s**2 - 45*s + 22. Let r(w) = -3*a(w) - 8*j(w). Suppose r(m) = 0. What is m?
-1, 1, 2
Let d be 1 + (60/16 - 3/(-12)). Suppose -h = -d*h + 80. Factor -13*g**3 - 15*g**2 - 10*g + h + 9*g + 21*g + 5*g**4 + 3*g**3.
5*(g - 2)**2*(g + 1)**2
Suppose -35 - 28 = -z + 4*o, -312 = -4*z + 4*o. Factor 28*y**3 + 29*y**3 - 40 - 5*y**2 + 31*y**3 - z*y**3 - 50*y.
5*(y - 4)*(y + 1)*(y + 2)
Let u(c) be the third derivative of 0 + 1/11*c**3 + 1/33*c**4 + 0*c - 25*c**2 + 1/330*c**5. Factor u(w).
2*(w + 1)*(w + 3)/11
Suppose 7*f - 2*f - 75 = -2*d, 4*f - d = 73. Let l = f - 1. Factor -l + 80*c - 23*c**2 - 10*c**2 - 3*c**2.
-4*(c - 2)*(9*c - 2)
Let m(c) = 26*c**2 + c + c**2 - 5*c**2 - 2 + 27*c. Let q(a) = 25*a**2 + 29*a - 2. Let t(x) = 3*m(x) - 4*q(x). Factor t(z).
-2*(z + 1)*(17*z - 1)
Let g(i) be the first derivative of i**5 - 145*i**4/4 + 90*i**3 + 384. Determine a so that g(a) = 0.
0, 2, 27
Let j be (-7 + 4 - 1)*21/(-6). Factor 6*k**2 - j*k + 14*k + 10 - 25*k - 21*k**2.
-5*(k + 2)*(3*k - 1)
Suppose 3*d + 3*w + 3 = 0, -9*w = -5*d - 4*w + 25. Suppose 0 = -d*i + q + 3 + 2, 3 = 4*i + 5*q. Factor 0*a - 4/9*a**i + 0 + 14/9*a**4 - 10/9*a**3.
2*a**2*(a - 1)*(7*a + 2)/9
Let 250*z**3 - 5205 + 654*z**2 - 337*z**3 - 84*z + 3*z**4 + 1677 = 0. Calculate z.
-2, 3, 14
Let n = -203 - -205. Factor -8*u**2 + 10*u**n + 5*u**3 - 7*u**3 + 12*u.
-2*u*(u - 3)*(u + 2)
Let u(m) be the third derivative of -m**8/1680 + m**7/315 - 5*m**4/24 + 5*m**3/6 - 2*m**2 + 3. Let o(s) be the second derivative of u(s). Factor o(y).
-4*y**2*(y - 2)
Let t(x) be the second derivative of 1/132*x**4 + 22*x**2 - 6 - 2/3*x**3 + x. Suppose t(w) = 0. Calculate w.
22
Let o(z) = -21*z**3 + 866*z**2 + 4991*z + 2275. Let v(x) = -4*x**3 + 173*x**2 + 998*x + 455. Let b(y) = 2*o(y) - 11*v(y). Suppose b(j) = 0. Calculate j.
-5, -1/2, 91
Let s(l) = 19*l**2 + 80*l - 771. Let g(h) = 13*h**2 + 79*h - 772. Let j(b) = -3*g(b) + 2*s(b). Factor j(u).
-(u - 9)*(u + 86)
Let l = -14 - -14. Suppose l = -4*r + r + 57. Let 0*a**2 - a**2 + r*a - 22*a - 2 = 0. Calculate a.
-2, -1
Let u be (565/1155*7)/((-2)/(-378)). Let v = u + -647. Factor 4/11*w + 0 - v*w**2 - 2/11*w**3.
-2*w*(w - 1)*(w + 2)/11
Let v be 23 + 31 + (47376/(-98))/9. Let 4/7*s**3 + 0*s**2 + v*s**4 + 0 + 0*s = 0. What is s?
-2, 0
Let m(u) be the first derivative of 3*u**4/4 + 98*u**3 + 3675*u**2/2 + 12348*u - 3404. Find h such that m(h) = 0.
-84, -7
Let h = -720/107 + 240817/33705. Let i = -1/63 + h. Solve 0*d + i*d**2 + 0 - 2/5*d**3 = 0 for d.
0, 1
Let t = 738288/861385 + 6/123055. Suppose -6/7*o - t*o**3 + 0 + 20/7*o**2 = 0. What is o?
0, 1/3, 3
Let x(i) = i**2 - 11*i + 21. Let v be x(9). Factor -4*o**5 - 5 + o**3 + 140*o**4 - 2*o**2 - 133*o**4 + 3*o**5 - 11*o**v + 11*o.
-(o - 5)*(o - 1)**3*(o + 1)
Solve 10 - 300*m**2 + 116*m**3 + 121*m**2 + 25*m + 34*m**2 - 201*m**3 + 75*m**4 = 0 for m.
-1, -1/5, 1/3, 2
Let y = -6579 - -6583. Let k(b) be the first derivative of -43/6*b**y - 22 - 7/15*b**5 - 92/3*b**3 + 0*b - 12*b**2. Let k(g) = 0. Calculate g.
-6, -2/7, 0
Let b be 28/(-56) + (-23)/(-2). Suppose -7*a = -2*w - 2*a + b, -w = 3*a. Solve 3 + 1 + w + 3*u**2 - 9*u - 1 = 0.
1, 2
Let s = -12307 + 12322. Factor 6*h**2 + 21/2*h - 3/2*h**3 - s.
-3*(h - 5)*(h - 1)*(h + 2)/2
What is y in 0*y + 0 + 0*y**2 - 1/4*y**5 + 9/4*y**4 - 2*y**3 = 0?
0, 1, 8
Let m be 8/14 + (429/77)/13. Let v(s) = -s**2 + 2*s. Let r(y) = 24*y - 27. Let b(x) = m*r(x) + 3*v(x). Factor b(a).
-3*(a - 9)*(a - 1)
Let i be 120/(-36)*72/(-10). Let s be (-30)/(-40)*i/9. Factor 2/19*f + 0 - 2/19*f**4 - 6/19*f**s + 6/19*f**3.
-2*f*(f - 1)**3/19
Let r(b) = -110*b + 90. Let y(x) = x**3 - 4*x**2 - 118*x - 10. Let o be y(-9). Let q(j) = j**2 - j + 4. Let h(i) = o*r(i) - 5*q(i). Factor h(s).
-5*(s - 22)*(s - 1)
Let b = 667/94 + -685/282. Let 0*n + 0 + 0*n**2 + 16/3*n**3 + b*n**4 - 2/3*n**5 = 0. Calculate n.
-1, 0, 8
Let a be 2 - ((-15)/(-9))/1. Suppose -24 = -2*u + 5*i, -4*i - 185 = 3*u - 175. Factor -a*n**u - 2/3 + n.
-(n - 2)*(n - 1)/3
Let z(m) be the third derivative of -11*m**8/840 - 8*m**7/175 + 73*m**6/300 - m**5/5 - 2*m**4/15 - 9*m**2 - 51. Suppose z(y) = 0. Calculate y.
-4, -2/11, 0, 1
Let o = 633855 + -633855. Solve 28/13*j - 30/13*j**3 + 10/13*j**2 - 10/13*j**4 + o + 2/13*j**5 = 0 for j.
-2, -1, 0, 1, 7
Let d = -5482/33 + 38902/231. Factor -2/7*k**2 - d + 12/7*k.
-2*(k - 4)*(k - 2)/7
Let g(q) be the second derivative of -q**7/10080 - q**6/360 + 5*q**4/12 - q**2/2 + 2*q - 47. Let s(v) be the third derivative of g(v). Factor s(h).
-h*(h + 8)/4
Let r(j) = -16*j + 51. Let w be r(3). Factor 0*z**2 + 2*z**3 - 6*z**2 - 5*z**3 - 9*z + 6*z**w.
3*z*(z - 3)*(z + 1)
Let k(h) be the third derivative of 4/15*h**5 + 0 + 0*h - 15*h**2 - 2/105*h**7 - 1/30*h**6 + 2/3*h**4 + 0*h**3. Determine f, given that k(f) = 0.
-2, -1, 0, 2
What is k in -19*k**2 + 32*k**2 - 31*k**2 + 2*k**3 - 10*k**2 - 12*k**2 + 192*k = 0?
0, 8, 12
Let t(a) be the first derivative of a**5/20 - a**4/8 - 3*a**3 - 3*a**2 - a + 46. Let z(l) be the second derivative of t(l). Suppose z(b) = 0. What is b?
-2, 3
Let k be 28747 - -3 - (1 + -1). Factor 28749*i**4 - k*i**4 - 2*i**3 + 10*i**3.
-i**3*(i - 8)
Let g(m) be the first derivative of 4*m + 19/7*m**2 + 101 + 8/21*m**3 - 1/14*m**4. Factor g(n).
-2*(n - 7)*(n + 1)*(n + 2)/7
Let c(m) be the first derivative of -25/4*m**4 + m**5 - 5*m**3 + 6 + 85/2*m**2 - 50*m. Factor c(k).
5*(k - 5)*(k - 1)**2*(k + 2)
Let -434*f**3 + 0*f**5 - 30380*f - 45*f**4 - f**5 + 29228*f + 1632*f**2 = 0. Calculate f.
-24, 0, 1, 2
Let h(z) be the third derivative of -z**6/200 - 39*z**5/100 + 31*z**4/10 - 42*z**3/5 + 298*z**2 - 4*z. Suppose h(l) = 0. What is l?
-42, 1, 2
Find y such that -99/4*y - 1/4*y**2 - 97/2 = 0.
-97, -2
Suppose -78*c**2 + 0 + 0*c - 3/7*c**3 = 0. What is c?
-182, 0
Let n(x) be the third derivative of x**7/11340 - x**6/1080 - x**4/4 - x**3 - 42*x**2. Let j(k) be the second derivative of n(k). Find g, given that j(g) = 0.
0, 3
Determine v, given that 2/11*v - 8/11 - 14/11*v**3 + 20/11*v**2 = 0.
-4/7, 1
Let o be ((-76)/(-152))/((-10)/(-8)*-1)*-10. Let z(a) be the second derivative of 1/90*a**5 - 1/54*a**o + 0 - 1/3*a**2 - 5/27*a**3 - 4*a. Factor z(y).
2*(y - 3)*(y + 1)**2/9
Find g, given that -149*g**3 - 42*g**2 + 6*g**4 - 2345 + 2455 + 432*g**2 - 357*g = 0.
5/6, 1, 22
Let d(f) be the first derivative of -4*f**3/3 + 2844*f**2 - 2022084*f + 7455. What is m in d(m) = 0?
711
Solve -2/9*s**5 - 10/3*s**4 + 214/9*s**3 - 80/3 + 30*s**2 - 212/9*s = 0.
-20, -1, 1, 6
Let -2/3*y**2 + 15/2 - 11/6*y = 0. Calculate y.
-5, 9/4
Let r(p) be the second derivative of -p**4/60 - 140*p**3/3 - 1399*p**2/10 - 16*p - 46. Solve r(y) = 0.
-1399, -1
Let s be (-42)/(-28)*(-4 - (-120)/18). Let f(h) be the second derivative of -4/11*h**2 + 0 - 28/33*h**3 - 49/66*h**s + 30*h. Factor f(g).
-2*(7*g + 2)**2/11
Let k(z) = 11*z**4 - 37*z**3 - 31*z**2 + 1207*z + 2. Let h(m) = -147*m**4 + 480*m**3 + 405*m**2 - 15687*m - 27. Let o(g) = 2*h(g) + 27*k(g). Factor o(c).
3*c*(c - 9)**2*(c + 5)
Factor 254*i**2 + 0 + 1/4*i**3 + 64516*i.
i*(i + 508)**2/4
Let g(o) be the first derivative of -3/4*o**3 + 1/20*o**5 + 0*o**2 + 0*o + 9/16*o**4 + 220 - 1/24*o**6. Find k such that g(k) = 0.
-3, 0, 1, 3
Suppose -18*v + 74 = 2*n, -410*n + 406*n + 68 = -4*v. Solve 120/7*j + 1800/7 + 2/7*j**v = 0.
-30
Determine z, given that 14196*z**2 + 1707*z**3 + 828*z**3 + 21420*z + 7039 + 893 + 3*z**5 + 162*z**4 + 1668 = 0.
-32, -10, -1
Let p(r) = -4*r**3 - 5*r**2 - 7*r - 2. Suppose 0 = -14*q + 11*q - 3. Let g be p(q). Factor -3*s**3 + g - 4 - 3*s**2 - 313*s**4 + 3*s**5 + 316*s**4.
3*s**2*(s - 1)*(s + 1)**2
Let i = -19312 + 154499/8. Suppose -9/2*z + 21/2 - i*z**2 = 0. What is z?
-14, 2
Let x(n) be the first derivative of 127 - 640/11*n**3 + 450/11*n**4 - 2/11*n + 61/11*n**2. Factor x(o).
2*(o - 1)*(30*o - 1)**2/11
Let u(f) = -f + 1. Let q be u(-1). Let l = 2 + q. Factor 2*i**3 + 5*i**5 + 8*i**2 + 13*i**3 - 3*i**2 + 9*i**4 + 6*i**l.
5*i**2*(i + 1)**3
Let k(f) be the second derivative of f**5/210 + 11*f**4/42 + 40*f**3/21 - 47*f**2 