2*y**4 + s*y + 4*y**3 + 2 - 243*y.
-2*(y - 1)**3*(y + 1)
Let t be 2 + -2*(-2)/4. Suppose 3*w = p + p + 3, 9 = -p + 4*w. Solve -5*z - 2*z**t + p*z**2 + 2*z**3 + 3*z - z**3 = 0 for z.
0, 1, 2
Factor 4 - 14/3*a + 2/3*a**2.
2*(a - 6)*(a - 1)/3
Let z(i) be the first derivative of -i**4/20 - i**3/15 + 4*i**2/5 + 12*i/5 + 253. Determine n, given that z(n) = 0.
-2, 3
Let y(b) be the second derivative of 0 + 0*b**4 + 0*b**2 + 1/6*b**3 - 1/20*b**5 - 2*b. Factor y(v).
-v*(v - 1)*(v + 1)
Let h(a) be the first derivative of -1 - 3/5*a**2 + 1/15*a**3 + a. Determine g, given that h(g) = 0.
1, 5
Factor 2*c + 14/9*c**2 + 4/9.
2*(c + 1)*(7*c + 2)/9
Let l(h) be the third derivative of -h**7/1365 - h**6/260 + 2*h**5/195 + h**4/13 - 140*h**2. What is k in l(k) = 0?
-3, -2, 0, 2
Let p(m) be the first derivative of -m**7/280 - m**6/72 - m**5/60 + 4*m**3/3 + 4. Let d(s) be the third derivative of p(s). Factor d(b).
-b*(b + 1)*(3*b + 2)
Let q(j) = j**4 - 3*j**3 - 4*j + 4. Let l(m) = 2*m**4 - 7*m**3 - 9*m + 9. Suppose -9*i = -24 - 12. Let x(z) = i*l(z) - 9*q(z). Factor x(v).
-v**3*(v + 1)
Suppose 0*z - 3*z = 5*q - 15, 0 = 4*z + 3*q - 9. Let h(g) be the second derivative of 3/2*g**3 + 4*g + 3*g**2 + z + 1/4*g**4. Factor h(y).
3*(y + 1)*(y + 2)
Let o(v) be the third derivative of -2/15*v**3 + 0*v + 0*v**4 + 1/100*v**5 + 0 - 19*v**2 - 1/600*v**6. Find t, given that o(t) = 0.
-1, 2
Let m(o) be the second derivative of 12*o + 4/3*o**3 - 1/3*o**4 - 2*o**2 + 0. Determine t so that m(t) = 0.
1
Let z(d) be the first derivative of -32/45*d**5 + 5/18*d**4 + 2/9*d - 2 - 4/9*d**6 + 7/9*d**2 + 10/9*d**3. Determine w so that z(w) = 0.
-1, -1/2, -1/3, 1
Let f = 21602 + -21600. Factor -10/7*u**3 - 6/7*u - f*u**2 - 2/7*u**4 + 0.
-2*u*(u + 1)**2*(u + 3)/7
Factor -100/9*x**2 + 2/3 - 94/9*x.
-2*(x + 1)*(50*x - 3)/9
Let u(f) be the second derivative of -2/15*f**3 + 0 - 5*f + 0*f**4 + 1/25*f**5 - 1/5*f**2 + 1/75*f**6. Find y, given that u(y) = 0.
-1, 1
Let f(b) be the first derivative of -7*b**6/6 - 16*b**5 - 505*b**4/7 - 1840*b**3/21 + 800*b**2/7 - 256*b/7 + 86. Suppose f(o) = 0. Calculate o.
-4, 2/7
Let b(j) = -2*j**2 - 37*j - 107. Let d(r) = -r**2 + r - 1. Suppose 5 = -a + 6. Let n(v) = a*b(v) + d(v). Factor n(o).
-3*(o + 6)**2
Find o such that 2*o**4 + 30*o**2 - 13*o - 184*o**3 + 202*o**3 - 37*o = 0.
-5, 0, 1
Let d(s) be the second derivative of -s**10/7560 + s**9/1890 - s**7/315 + s**6/180 - 13*s**4/12 + 3*s. Let r(x) be the third derivative of d(x). Factor r(q).
-4*q*(q - 1)**3*(q + 1)
Factor 27 - 63 - 22*j**2 - 18*j**2 - 2*j**3 + 43*j - 117*j.
-2*(j + 1)**2*(j + 18)
Let j(m) be the third derivative of -m**6/300 + m**5/30 + m**4/15 - 4*m**3/3 + m**2 - 88. Let j(t) = 0. Calculate t.
-2, 2, 5
Let n(m) be the first derivative of -m**6/420 + 13*m**5/420 - m**4/21 + 8*m**3 + 8. Let t(s) be the third derivative of n(s). Factor t(v).
-2*(v - 4)*(3*v - 1)/7
Let g(s) be the first derivative of -s**6/2 + 39*s**5/25 + 42*s**4/5 + 4*s**3 + 18. What is l in g(l) = 0?
-2, -2/5, 0, 5
Let m(k) = -k**3 + k. Let g(w) = -16*w**3 - 28*w**2 + 80*w - 36. Suppose 11 = -q - 9. Let s(p) = q*m(p) + g(p). Factor s(u).
4*(u - 3)**2*(u - 1)
Let u(z) = -z**2 + 39*z - 272. Let a be u(10). Factor -1/2*k**2 + 6*k - a.
-(k - 6)**2/2
Let l = -18616 + 18618. Factor -32/11*v**3 - 2/11*v + 0 + 16/11*v**l.
-2*v*(4*v - 1)**2/11
Let h = 1957/115 - 2134/1035. Let d = 140/9 - h. Factor -7/5*b - b**2 - d - 1/5*b**3.
-(b + 1)**2*(b + 3)/5
Let l(u) be the third derivative of u**5/60 + 25*u**4/24 + 11*u**3 - 307*u**2. Let l(x) = 0. What is x?
-22, -3
Factor 10*f - 37*f - 5*f**3 - 39*f**2 - 21*f + 104*f**2 - 12*f.
-5*f*(f - 12)*(f - 1)
Let t(p) = -23*p**3 - 59*p**2 + 17. Let w(y) = -8*y**3 - 20*y**2 + 6. Let a(i) = 6*t(i) - 17*w(i). Factor a(x).
-2*x**2*(x + 7)
Find n, given that 0 + 36/11*n - 2/11*n**2 = 0.
0, 18
Let q = -38 - -54. Factor 12 + 5 + 2 - 4*x**4 - q*x - 12*x**2 + 16*x**3 - 3.
-4*(x - 2)**2*(x - 1)*(x + 1)
Let o = -6071 - -78925/13. Factor -8/13*i**2 - o*i - 6/13*i**3 + 0.
-2*i*(i + 1)*(3*i + 1)/13
Let s(z) = -10*z**4 - 66*z**3 - 388*z**2 - 570*z - 268. Let c(b) = -29*b**4 - 199*b**3 - 1164*b**2 - 1711*b - 802. Let d(q) = 6*c(q) - 17*s(q). Factor d(x).
-4*(x + 1)**2*(x + 8)**2
Let v be -3 + -3 + 10 + -1. Suppose -v*h - 7*h**3 + 3*h - 4*h**2 + 5*h**3 - 2*h = 0. What is h?
-1, 0
Let y(k) be the third derivative of k**5/240 - k**4/8 + 11*k**3/24 - 152*k**2. Suppose y(q) = 0. Calculate q.
1, 11
Suppose 5*b - b - 16 = 0. Find d such that 9*d**3 - 8*d**3 - b*d**3 = 0.
0
Let x(s) = s**5 + s**4 + s**3 - s + 1. Let b(u) = -12*u**5 - 5*u**4 - 20*u**3 + 4*u**2 + 11*u - 11. Let y(w) = 4*b(w) + 44*x(w). Factor y(g).
-4*g**2*(g - 4)*(g - 1)**2
Let q(z) be the second derivative of z**7/315 - z**6/90 - z**5/90 + z**4/18 - 9*z**2/2 - 14*z. Let a(s) be the first derivative of q(s). Factor a(u).
2*u*(u - 2)*(u - 1)*(u + 1)/3
Solve 3/5*j**4 - 9/5*j**2 + 9/5*j**3 + 18/5 - 21/5*j = 0.
-3, -2, 1
Solve 27/2*s**5 + 18*s + 0 - 72*s**4 + 237/2*s**3 - 78*s**2 = 0.
0, 2/3, 1, 3
Suppose 0*t = -r + 5*t + 6, 3*r + t = 50. Determine i so that -184*i**3 - 30*i**5 + 47*i**2 + 120*i**4 + 5*i**5 - r*i + 9*i**2 + 40*i**2 = 0.
0, 2/5, 2
Let m(o) be the third derivative of o**8/504 + 4*o**7/315 - 7*o**5/45 - 17*o**4/36 - 2*o**3/3 - 142*o**2. Suppose m(y) = 0. Calculate y.
-3, -1, 2
Let j be (1 - 1)/(42/(-14)). Let w = 89 + -443/5. Factor j - 2/5*b**2 + 2/5*b**3 + w*b**4 + 0*b - 2/5*b**5.
-2*b**2*(b - 1)**2*(b + 1)/5
Let i(u) = -4*u**2 - 9*u + 5. Let p(n) = -n**2 - 3*n. Let a(h) = -i(h) + 5*p(h). Factor a(w).
-(w + 1)*(w + 5)
Suppose -19*r = -18*r + 2*k - 14, 2*r - 10 = -k. Factor -1/2*b**r + 8*b - 2 - 21/2*b**3.
-(b + 1)*(3*b - 2)*(7*b - 2)/2
Let q be ((-2)/12)/((-1)/3). Let p be -13 + -13 + 13 + 15. Factor 3/2 - q*m**p + m.
-(m - 3)*(m + 1)/2
Let m(r) be the first derivative of r**4/36 + r**3/3 + 3*r**2/2 - 13*r - 33. Let d(u) be the first derivative of m(u). Factor d(b).
(b + 3)**2/3
Let h(b) be the first derivative of 2*b**3/9 - 11*b**2/3 + 56*b/3 - 253. Factor h(p).
2*(p - 7)*(p - 4)/3
Let k = 16078 - 64311/4. Factor -3/2 - k*n**2 + 7/4*n.
-(n - 6)*(n - 1)/4
Let a(l) = -l + 156. Let b be a(0). Suppose -2*i + 2*r = -0*r - b, 0 = i - 4*r - 72. Factor 37 + 35 + 45*c + i*c**2 + 12*c**3 + 111*c.
4*(c + 3)**2*(3*c + 2)
What is p in 2/9 + 1/9*p**3 - 2/9*p**2 - 1/9*p = 0?
-1, 1, 2
Suppose -708 + 849 = 47*n. Find z, given that 0*z**n + 0 + 3/7*z + 6/7*z**4 - 6/7*z**2 - 3/7*z**5 = 0.
-1, 0, 1
What is i in -199*i**3 + 1436*i**3 - 1744*i + 2075*i**3 + 208 - 1620*i**4 + 2534*i**2 + 775*i**2 - 329*i**2 = 0?
-1, 2/9, 13/5
Let t = 515/2 - 256. Solve 3/2 - 3/4*z**5 + 21/4*z - t*z**4 + 6*z**2 + 3/2*z**3 = 0.
-1, 2
Suppose 0 = -3*j - 4*a + 241, -3*a - 288 = -j - 3*j. Suppose -j*z = -72*z. Factor 1/2*s**2 + z*s - 1/2*s**3 - 1/2*s**4 + 1/2*s**5 + 0.
s**2*(s - 1)**2*(s + 1)/2
Let w(k) be the first derivative of -k**6/2 + 51*k**5/5 - 45*k**4/2 - 2*k**3 + 93*k**2/2 - 45*k - 19. Let w(p) = 0. What is p?
-1, 1, 15
Let y = -27024 - -243224/9. Let y*p - 4/9*p**3 + 0 + 4/9*p**2 = 0. Calculate p.
-1, 0, 2
Let x(u) be the first derivative of -5 + 2*u**2 - 1/3*u**4 + 4*u + u**3 - 3/10*u**5. Let w(c) be the first derivative of x(c). Factor w(m).
-2*(m - 1)*(m + 1)*(3*m + 2)
Let p(x) be the third derivative of x**6/72 - x**5/6 + 5*x**4/8 + 3*x**3 + 14*x**2. Let j(g) be the first derivative of p(g). Factor j(b).
5*(b - 3)*(b - 1)
Suppose 1 - 7 = -3*a. Factor -3 + 1 - 4 + 2*u**2 - a.
2*(u - 2)*(u + 2)
Let g(h) = h**3 + 7*h**2 + 2*h + 13. Let c be g(-6). Determine l, given that l**2 + 100*l**4 - 65*l**3 + 9*l**2 - c*l**5 - 8*l**5 = 0.
0, 2/9, 1
Let o be (4/15)/(-2)*3870/(-2322). Determine s, given that -2/9*s**3 + o + 2/9*s - 2/9*s**2 = 0.
-1, 1
Let b(f) be the third derivative of 5*f**8/336 + f**7/3 + 31*f**6/24 - 71*f**5/6 - 20*f**4/3 + 320*f**3/3 + 137*f**2. Find y such that b(y) = 0.
-8, -1, 1, 2
Solve -1/6*u**2 + 4/3*u - 8/3 = 0 for u.
4
Let j(l) = -l**2 + 8*l - 8. Let f be j(6). Suppose f*t + 4*w - 8 = 0, 5*t + 8 - 39 = 2*w. Solve -b**t + 23*b**3 - 2*b**5 - 17*b**3 - 3*b = 0.
-1, 0, 1
Let m(k) be the first derivative of -k**4/8 + k**3/2 + 25*k**2/4 + 21*k/2 + 117. Solve m(z) = 0 for z.
-3, -1, 7
Let s be (0 - 0)/(-9 - -8). Suppose -2*q = -s*q - 3*c - 3, -c = 1. Factor -2/3*l**3 + 