or w(n).
2*n*(n - 1)*(n + 2)
Let y = 680819/93 - 7320. Let b = 1/31 + y. Factor -2/3*d**2 - b*d + 4/3.
-2*(d - 1)*(d + 2)/3
Let s(p) be the third derivative of -3/5*p**5 + 0*p + 3/20*p**6 + p**4 + 0*p**3 + 0 + p**2 - 1/70*p**7. Solve s(h) = 0.
0, 2
Let o(i) be the second derivative of -i**7/168 - i**6/40 + 3*i**5/80 + 7*i**4/48 - i**3/4 + 86*i. Let o(p) = 0. What is p?
-3, -2, 0, 1
Let f = 2251 + -2248. Let o(t) be the second derivative of -1/6*t**f - 1/48*t**4 + 0 - 1/2*t**2 + 7*t. Factor o(x).
-(x + 2)**2/4
What is l in -60*l**3 + 206*l**3 + 104*l + 80*l**3 + 68 + 7*l**4 - 405*l**2 = 0?
-34, -2/7, 1
Let a(s) = 15*s**4 + 80*s**3 + 190*s**2 + 125*s - 5. Let w(d) = 7*d**4 + 40*d**3 + 95*d**2 + 62*d - 2. Let o(p) = 2*a(p) - 5*w(p). Factor o(m).
-5*m*(m + 1)*(m + 3)*(m + 4)
Let n(b) = -b**5 - b**4 - b**3 + 2*b**2. Let h(v) = v**5 + 2*v**4 + 14*v**3 + 4*v**2 + v - 2. Let l(s) = h(s) + 4*n(s). Factor l(f).
-(f - 2)*(f + 1)**3*(3*f - 1)
Let a be (-20)/(-78)*924/385. Find l, given that 2/13 + 2/13*l**4 + a*l**3 + 8/13*l + 12/13*l**2 = 0.
-1
Factor 1/3*p**4 - 37/3*p + 4 - 5*p**3 + 13*p**2.
(p - 12)*(p - 1)**3/3
Suppose 2*i + 2*a - 2 = 0, -a - 25 + 8 = -2*i. Determine k, given that -2/5*k - 18/5*k**4 - i*k**3 - 14/5*k**2 + 0 = 0.
-1, -1/3, 0
Let t be (-24)/(-30) + 2/5. Factor -t*v**2 + 4/5 - 2/5*v.
-2*(v + 1)*(3*v - 2)/5
Let h(g) = -g**2 - 3*g - 4. Let d(t) = 6*t + 3. Let b(y) = 4*d(y) + 3*h(y). Find i, given that b(i) = 0.
0, 5
Let s(g) = g**2 + g - 1. Let c(h) = h**3 + 7*h**2 + 6*h - 5. Suppose 3*w - 35 = -2*w + 4*f, 0 = -w + 4*f + 23. Let t(l) = w*c(l) - 15*s(l). Solve t(r) = 0.
-1, 0
Suppose 3*x = 4*i - 5, 4*i - 7 = i - x. Suppose -37*y**2 + 78*y**2 - 43*y**i - 2*y - 10*y = 0. What is y?
-6, 0
Let t = 1536/3815 - 2/763. Let y = -19 + 22. Suppose 8/5 + t*z**5 + 2/5*z**4 - 2*z**2 - 2*z**y + 8/5*z = 0. What is z?
-2, -1, 1, 2
Let j be (-66)/108 - (-20)/18. Factor -j*g**3 - 1/6*g**4 + 1/6*g**2 + 1/2*g + 0.
-g*(g - 1)*(g + 1)*(g + 3)/6
Let l = 41930 + -545084/13. Solve 2/13*f**2 + l*f - 6/13*f**3 + 2/13*f**4 - 4/13 = 0.
-1, 1, 2
Let z(q) = -3*q**3 - 960*q**2 + 20109*q - 36474. Let h(p) = p**3 + 240*p**2 - 5027*p + 9118. Let b(c) = 15*h(c) + 4*z(c). What is f in b(f) = 0?
2, 39
Find b such that 0*b - 5*b + 5*b**3 + 37*b**4 - 42*b**4 + 5*b**2 = 0.
-1, 0, 1
Let j(y) = -y**2 - y. Let a(r) = -6*r**2 - 9*r - 3. Let g be (-1 - 0) + 2 - 52/26. Let l(q) = g*a(q) + 12*j(q). Factor l(m).
-3*(m + 1)*(2*m - 1)
Suppose -13*v**2 - 470*v**5 - 11*v**2 + 4*v**3 + 466*v**5 + 24*v**4 = 0. What is v?
-1, 0, 1, 6
Solve -5/4*q**2 + 3/4*q + 1/2 = 0 for q.
-2/5, 1
Let h(j) be the first derivative of -j**6/24 - j**5/2 - 7*j**4/4 - 2*j**3 + 43. Factor h(u).
-u**2*(u + 2)**2*(u + 6)/4
Let f = 27/2 - 13. Let s(l) = 42*l + 170. Let d be s(-4). Factor f - y + 1/2*y**d.
(y - 1)**2/2
Suppose -178*c + 37*c = 0. Let 1/2*w**4 + 3/2*w**3 - 2*w + 0*w**2 + c = 0. Calculate w.
-2, 0, 1
Let o = -68 - -92. Let b(z) = 39*z**3 + 36*z**2 - 24. Let k(t) = -8*t**3 - 7*t**2 + 5. Let v(s) = o*k(s) + 5*b(s). Let v(d) = 0. What is d?
-4, 0
Factor -1/5*b**2 + 1/5*b + 0.
-b*(b - 1)/5
Suppose 12*m - 9*m = -m. Let a be (-1)/(-2) - 5/(20 - m). Factor 1/2*c + a + 1/4*c**2.
(c + 1)**2/4
Let b(z) be the second derivative of -20*z - 1/10*z**5 + 1/3*z**3 + 0 - 2*z**2 + 1/3*z**4. Find y such that b(y) = 0.
-1, 1, 2
Let z(v) be the first derivative of -22/3*v**3 - 2*v**2 + 0*v - 9/2*v**4 - 40. Factor z(n).
-2*n*(n + 1)*(9*n + 2)
Determine y, given that 61036 + 2*y**2 - 61036 - 6*y = 0.
0, 3
Suppose -o = -3, -4*c + 2*o - 37 = -3. Let k(s) = s**3 + 6*s**2 - 7*s + 3. Let p be k(c). Factor j**3 + j**2 - 2*j**p + j + 3*j**4 - 2*j**4 - 2*j**2.
j*(j - 1)**2*(j + 1)
Factor 6/5*i**3 + 31752/5*i + 756/5*i**2 + 444528/5.
6*(i + 42)**3/5
Let h(z) be the third derivative of -z**8/21 + 38*z**7/105 - 23*z**6/30 + z**5/3 + z**4/2 - 38*z**2. Suppose h(g) = 0. Calculate g.
-1/4, 0, 1, 3
Let d(w) be the third derivative of -w**8/1680 + w**7/1050 + w**6/600 - w**5/300 - 34*w**2. Factor d(l).
-l**2*(l - 1)**2*(l + 1)/5
Let d(g) be the third derivative of -1/108*g**4 + 0*g + 1/270*g**5 + 0 + 0*g**3 - 3*g**2. Solve d(f) = 0 for f.
0, 1
Suppose 55*t - 148 = 18*t. Factor 0*o + 9/2*o**3 - 9/2*o**t + 0 - 3/2*o**2 + 3/2*o**5.
3*o**2*(o - 1)**3/2
Suppose -k + 4 = l, -2*l + 8 = 2*k - 3*l. Find b, given that 3*b**3 + 14*b**k - 9*b**4 - 2*b**2 - 6*b**4 = 0.
0, 1, 2
Factor 1/4*a**4 - a + 0 + 3/4*a**3 + 0*a**2.
a*(a - 1)*(a + 2)**2/4
Let g(t) be the third derivative of 0*t - 1/165*t**5 + 0*t**3 + 1/132*t**4 + 0 + 1/660*t**6 - 17*t**2. Determine o, given that g(o) = 0.
0, 1
Let c = -4 + 9. Let h(x) = -28*x**3 + 22*x**2. Let a(g) = -9*g**3 + 7*g**2. Let m(b) = c*h(b) - 16*a(b). Factor m(f).
2*f**2*(2*f - 1)
Let f be 15/(-2)*4/6. Let n be 0/(-5 - (f - 1)). Factor 2/9*v + 2/9*v**3 - 4/9*v**2 + n.
2*v*(v - 1)**2/9
Let p(k) be the third derivative of k**8/7840 - k**7/1960 + k**5/280 + 11*k**4/12 - 10*k**2. Let i(m) be the second derivative of p(m). Factor i(u).
3*(u - 1)**2*(2*u + 1)/7
Determine g so that -g**2 - 252 + 2*g**2 - 1429 - 14*g + 96*g - 2*g**2 = 0.
41
Let t(q) be the first derivative of 5*q**6/6 + 8*q**5 + 65*q**4/4 + 10*q**3 - 190. Factor t(v).
5*v**2*(v + 1)**2*(v + 6)
Suppose -5*p = -10*p + 5 + 5. Let 0*q - 4*q**p + 4/3*q**3 + 0 = 0. What is q?
0, 3
Let v be 1/(-4 - -3) + 27. Suppose -31*y = -v*y - 10. Let 0*p**y - 4/3 - 2/3*p**3 + 2*p = 0. Calculate p.
-2, 1
Determine t so that 2/3*t**3 - 12*t**2 - 38/3*t + 0 = 0.
-1, 0, 19
Let t(g) = g**2 + 17*g + 34. Let m be ((-45)/6)/(2/8*2). Let w be t(m). Factor 0 + 0*i - 1/2*i**2 - 2*i**w - 5/2*i**3.
-i**2*(i + 1)*(4*i + 1)/2
Suppose 0 = -5*h - 4*u + 2, 2*u = -4*h - 2*u. Let a be 5/((-60)/(-18)) + 3 + -4. Factor -1 + 1/2*m**h - a*m.
(m - 2)*(m + 1)/2
Let i = 2 + 0. Solve 3*v**4 + 2*v**4 + 4*v**2 - 8*v**4 - v**i = 0 for v.
-1, 0, 1
Let z(c) = 4*c**5 - 2*c**4 + 12*c**3 - 10*c**2 + 5*c. Let m(x) = -x**5 - x**4 - x**3 + x**2 - x. Let i(f) = -3*m(f) - z(f). Factor i(o).
-o*(o - 2)*(o - 1)**3
Let x = 627 - 621. Let u(f) be the first derivative of -f**5 + 25/3*f**3 - 5/6*f**x + 5*f**2 + 15/4*f**4 + 6 + 0*f. Determine p, given that u(p) = 0.
-1, 0, 2
Let r(h) be the first derivative of -3*h**5/5 - 57*h**4/4 - 117*h**3 - 891*h**2/2 - 810*h + 80. Let r(l) = 0. Calculate l.
-10, -3
Suppose 0 = 2*d + v - 10, d - 9*v + 5 = -7*v. Let k(a) be the first derivative of 2/27*a**d + 0*a**2 - 2/9*a - 7. Find f such that k(f) = 0.
-1, 1
Let x(p) be the third derivative of p**6/180 - 4*p**5/45 - 31*p**4/36 - 22*p**3/9 - 3*p**2 + 14*p. Solve x(h) = 0 for h.
-2, -1, 11
Let i(u) = -8*u + 122. Let t be i(11). Let p = t - 18. Factor p + 12*g + 3*g**2 + 1/4*g**3.
(g + 4)**3/4
Let n(o) be the first derivative of o**8/3920 - o**7/1960 - 3*o**3 - 18. Let v(z) be the third derivative of n(z). Factor v(k).
3*k**3*(k - 1)/7
Let s(k) be the second derivative of -k**5/105 + k**4/14 + 8*k**3/21 - 23*k**2/2 + 7*k. Let y(v) be the first derivative of s(v). Solve y(t) = 0 for t.
-1, 4
Suppose -36*f = -27*f - 18. Let h(s) be the first derivative of 1/26*s**4 + 4/39*s**3 - 3/13*s**f + 0*s - 6. Let h(y) = 0. What is y?
-3, 0, 1
Let q(k) = -k**3 + 5*k**2 + 4*k - 30. Let s be q(4). Suppose -3*f = 2*o - 4*f - 12, -2*o - 4 = 3*f. Factor -540 + 6*j**o + s*j**2 + 540 + 6*j**3 + 2*j**5.
2*j**2*(j + 1)**3
Factor 0 + 32*h + 2/5*h**2.
2*h*(h + 80)/5
Let p(c) be the third derivative of 0 + 0*c - 1/8*c**5 + 6*c**2 + 1/80*c**6 + 0*c**4 + 0*c**3. Solve p(u) = 0 for u.
0, 5
Let -21 + 5*n**3 - 9 + 790*n - 825*n = 0. What is n?
-2, -1, 3
Suppose 5*k - 3*d = 132, 0*k - k + d + 28 = 0. Suppose 5*g + 20*q - 20 = k*q, -g + 4*q = -20. Find w, given that g + 9/7*w**2 - 6/7*w - 3/7*w**3 = 0.
0, 1, 2
Let n(f) be the first derivative of f**8/4200 - f**7/840 + f**6/600 - 23*f**3/3 + 14. Let c(z) be the third derivative of n(z). Determine h so that c(h) = 0.
0, 1, 3/2
Suppose -20*t + 10295 = -9145. Let m be 0 - (t/21)/(-9). Let -m*i - 20/7*i**3 + 8/7 + 48/7*i**2 = 0. What is i?
2/5, 1
Let a(h) be the first derivative of -9*h**4/5 - 208*h**3/5 - 392*h**2/5 - 256*h/5 - 120. Factor a(c).
-4*(c + 16)*(3*c + 2)**2/5
Find i such that -1/5*i**3 + 21/5*i + 4*i**2 + 0 = 0.
-1, 0, 21
Let 2/5*u**3 - 2/5*u**5 + 0*u + 4/5*u**2 - 4/5*u**4 + 0 = 0. What is u?
-2, -1, 0, 1
Let m(