erivative of -2*x**5/45 - 1565*x**4/18 + 174*x**3 - 9*x**2 + 14*x - 2. Factor t(c).
-4*(c + 783)*(2*c - 1)/3
Let t(y) be the third derivative of -1/3*y**6 - 6*y**2 - 1/7*y**7 + 0*y**3 + 1/2*y**5 - 1 + 5/336*y**8 + 35/24*y**4 + 0*y. Find i, given that t(i) = 0.
-1, 0, 1, 7
Let y(v) be the first derivative of 2*v**3/45 + 5*v**2/3 + 84*v/5 - 3055. Find m such that y(m) = 0.
-18, -7
Factor -2/7*t**3 - 108/7*t**2 + 0 - 208/7*t.
-2*t*(t + 2)*(t + 52)/7
Let o(m) be the first derivative of -22*m**2 - 4/3*m**3 - 40*m - 97. Factor o(b).
-4*(b + 1)*(b + 10)
Factor 2200/9 + 60*q + 14/3*q**2 + 1/9*q**3.
(q + 10)**2*(q + 22)/9
Let j(x) = -x**3 + 2*x**2 - x. Let a(v) = 2*v**4 + 586*v**3 + 35798*v**2 + 70278*v + 34848. Let i(z) = 2*a(z) + 108*j(z). Factor i(k).
4*(k + 1)**2*(k + 132)**2
Suppose 5*k - 2 = -2*h, 814 - 824 = k + 3*h. Let w(q) be the first derivative of -20 + q**2 - k*q - 1/6*q**3. Solve w(m) = 0 for m.
2
Let t(i) be the first derivative of -9*i**4/5 - 2*i**3 + 39*i**2/5 - 12*i/5 + 1130. Solve t(j) = 0 for j.
-2, 1/6, 1
Let m = -1609327/5 + 321866. Suppose -48/5 - m*x**2 - 6*x = 0. Calculate x.
-8, -2
Let w(p) = p**2 + 2 + 4 + 1 - 5. Let r(k) = -5*k**2 - 9. Let q(l) = -2*r(l) - 9*w(l). Factor q(b).
b**2
Let s(i) be the first derivative of 0*i + 2/15*i**3 + 0*i**4 - 2/25*i**5 + 0*i**2 - 56. Factor s(t).
-2*t**2*(t - 1)*(t + 1)/5
Let r(o) = -o**3 + o**2 - o. Suppose -17*w + 13*w + 48 = 0. Let l(f) = 12 + w - 20 + 2*f**2 - 5*f - 6*f**3. Let v(b) = -3*l(b) + 15*r(b). Factor v(n).
3*(n - 1)*(n + 2)**2
Suppose -2*x - 8*q + 2*q - 68 = 0, -2*q - 30 = -3*x. Let -d**x - 25/2*d - 6 = 0. Calculate d.
-12, -1/2
Let t = 20 - 17. Let s = 57 + -48. Suppose -30*z**3 + s*z + 14*z**3 - t - 9*z**2 + 19*z**3 = 0. Calculate z.
1
Let d be (1/((-7)/5))/(0 - -7 - (-95343)/(-12504)). Solve 8/7 + d*l + 2/7*l**2 = 0 for l.
-2
Let f be ((-4)/(-6) - (-136)/(-24))/(109/((-18094)/415)). What is y in 4 + 4/5*y**4 - 16/5*y**3 - 24/5*y**f + 16/5*y = 0?
-1, 1, 5
Suppose -5*f - 5*m - 10 = 0, 1 - 3 = -3*f - m. Let o = -2613 + 2616. Factor 2/7*r**o - 2/7*r + 2/7*r**f - 2/7.
2*(r - 1)*(r + 1)**2/7
Let s(g) be the first derivative of 20*g**2 - 20*g + 44 + 5/4*g**4 - 25/3*g**3. Suppose s(m) = 0. Calculate m.
1, 2
Let s(a) = -43*a**2 + 555*a + 52. Let p be s(13). Let i(x) be the second derivative of -5/78*x**4 + p*x**2 + 29*x - 1/130*x**5 + 2/13*x**3 + 0. Factor i(y).
-2*y*(y - 1)*(y + 6)/13
Suppose -q = -2*q + 2. Suppose -192*i**3 + 29*i**q + 31*i**2 + 12*i**3 - 5*i = 0. What is i?
0, 1/6
Suppose 218*t + 59 = 495. Let q(s) be the first derivative of 0*s**5 - 4*s**4 + 2/3*s**6 + 6*s**t + 6 - 8*s + 8/3*s**3. Determine u so that q(u) = 0.
-2, -1, 1
Let t(v) be the first derivative of 3*v**5/5 - 13*v**3 - 18*v**2 - 2954. Factor t(a).
3*a*(a - 4)*(a + 1)*(a + 3)
Let j be -2*((-8)/(-11) + 0 + -1). Let o(l) be the first derivative of -5/22*l**4 + 2/55*l**5 - 4 - 7/11*l**2 + 4/11*l + j*l**3. Factor o(v).
2*(v - 2)*(v - 1)**3/11
Determine q, given that 225/2*q**3 - 165*q**2 - 112*q - 16 = 0.
-4/15, 2
Let t(c) be the first derivative of -c**4/6 + 200*c**3/27 + 284*c**2/9 + 32*c - 3987. Determine w so that t(w) = 0.
-2, -2/3, 36
Let j(t) be the third derivative of -t**5/60 - 11*t**4/3 - 85*t**3/2 - 1345*t**2. Solve j(p) = 0 for p.
-85, -3
Let q = -1178/5 - -21229/90. Let k(d) be the first derivative of 5/6*d**2 - 5/12*d**4 + q*d**3 + 0*d + 18 - 1/6*d**5. Factor k(s).
-5*s*(s - 1)*(s + 1)*(s + 2)/6
Let y(q) = 4*q**3 + 23*q**2 - 166*q + 42. Let n be y(-10). Let 0 - 6/7*c**n + c - 1/7*c**3 = 0. Calculate c.
-7, 0, 1
Let y(o) be the third derivative of -o**5/15 + 93*o**4 - 51894*o**3 + 1333*o**2. Determine f, given that y(f) = 0.
279
Let b(p) = p**3 + p**2 + 2. Let r(q) = -9*q**4 + 20*q**3 + 8*q**2 + 8. Suppose -73*h = -65*h + 24. Let x(u) = h*r(u) + 12*b(u). Factor x(j).
3*j**2*(j - 2)*(9*j + 2)
Suppose -5*t + 35 = 4*a, -5*t + a = -t - 28. Let u(x) = -18*x**3 + x**2 - 3*x. Let o(m) = -35*m**3 + 3*m**2 - 7*m. Let i(j) = t*u(j) - 3*o(j). Factor i(l).
-l**2*(21*l + 2)
Suppose 372*i = 365*i + 2485. Let u = 1429/4 - i. Factor 3/4*y**3 + 0 + 3/2*y**2 - u*y.
3*y*(y - 1)*(y + 3)/4
Suppose 3*u + 3*x - 417 = 0, -2*u + 4*u = 2*x + 262. Factor 2*d**2 - u + d + 141 + 7*d.
2*(d + 1)*(d + 3)
Let 4920*v + 483/4*v**2 + 3/4*v**3 + 4800 = 0. What is v?
-80, -1
Suppose 119*i**2 - 65*i**3 - 56*i**2 - 255*i**2 - 48*i**2 - 245*i**2 - 180 - 600*i = 0. Calculate i.
-6, -1, -6/13
Let r(q) be the third derivative of q**7/1155 - q**6/132 + 2*q**5/165 - 16*q**2 - 14*q. Find i, given that r(i) = 0.
0, 1, 4
Let s(y) be the first derivative of 5*y**6/14 - 9*y**5/35 - 81*y**4/14 - 727. Let s(t) = 0. What is t?
-3, 0, 18/5
Suppose -2*a + 28 = -3*z + 22, -2*a = 7*z - 6. Let d(q) be the third derivative of 0*q + z - 18*q**2 + 1/32*q**4 + 1/240*q**5 + 0*q**3. Factor d(m).
m*(m + 3)/4
Let d = -774/3709 + 21802/33381. Solve -2/9 + d*a + 2/9*a**4 + 0*a**2 - 4/9*a**3 = 0.
-1, 1
Solve -17/9*y**4 + 0 - 1/9*y**5 - 32/3*y**3 - 208/9*y**2 - 128/9*y = 0.
-8, -4, -1, 0
Let 0 + 570*w + 2/5*w**2 = 0. Calculate w.
-1425, 0
Suppose 2*y + 5 + 5 = 0, 5*y = -v - 225. Let r = v + 202. Factor -1/2*g**3 + 5/2*g**r + 0 + 0*g.
-g**2*(g - 5)/2
Suppose -310*g = 80*g + 683*g. Factor 12/7*d**2 + 3/7*d**4 - 3*d**3 + g + 36/7*d.
3*d*(d - 6)*(d - 2)*(d + 1)/7
Let f = 902649 + -9039879/10. Let o = f - -1339. Factor 8/5*n - o*n**4 - 4/5*n**2 - 7/10*n**3 + 0.
-n*(n - 1)*(n + 4)**2/10
Let i(f) be the second derivative of f**6/5 - 13*f**5/5 + 41*f**4/6 + 70*f**3/3 - 403*f. Factor i(k).
2*k*(k - 5)*(k + 1)*(3*k - 14)
Let d(x) be the third derivative of -x**5/20 + 5*x**4/4 - 12*x**3 + x**2 - 133. Let d(a) = 0. Calculate a.
4, 6
Let f(l) be the first derivative of 115 + 1600/3*l**3 + 2/3*l**6 + 0*l + 0*l**2 + 360*l**4 - 156/5*l**5. Let f(n) = 0. What is n?
-1, 0, 20
Let j = 49/335 - -1667/2345. Factor 1/7*g**2 - j*g - 1.
(g - 7)*(g + 1)/7
Let w(r) be the third derivative of -r**7/3780 + r**6/540 + r**4/6 + r**3/2 + 120*r**2. Let y(l) be the second derivative of w(l). Factor y(c).
-2*c*(c - 2)/3
Let r = -167444/469 - -59/67. Let s = 357 + r. Factor -12/7 + 9/7*i**3 + s*i**2 - 15/7*i.
3*(i + 1)**2*(3*i - 4)/7
Let z = -212885 + 212887. Solve z*f - 2*f**3 + f**2 + 1/2*f**4 - 3/2 = 0 for f.
-1, 1, 3
Let f = 167 + -165. Factor 64*v + 200*v**2 + 23*v**2 + 9*v**f + 28*v**3.
4*v*(v + 8)*(7*v + 2)
Let p(x) = 4*x**3 - 51*x**2 - 127*x - 59. Let o(r) = -4*r**3 + 52*r**2 + 128*r + 60. Let i(k) = 13*o(k) + 12*p(k). Factor i(b).
-4*(b - 18)*(b + 1)**2
Let w(s) be the first derivative of s**5 + 235*s**4/4 + 1990*s**3/3 + 2650*s**2 + 4440*s + 7005. Factor w(g).
5*(g + 2)**2*(g + 6)*(g + 37)
Find o, given that 56 - 2038*o**3 + 680*o + 345*o**2 + 4042*o**3 - 1934*o**3 + 5*o**4 + 344 = 0.
-5, -4, -1
Let z(v) be the second derivative of 14*v - 2/3*v**3 + 8*v**2 + 0 + 1/4*v**4 - 1/60*v**6 + 0*v**5. Let h(r) be the first derivative of z(r). Factor h(f).
-2*(f - 1)**2*(f + 2)
Let g = -13606 + 27215/2. Let d(v) be the first derivative of -26 + 0*v + g*v**2 + 1/3*v**3. Factor d(u).
u*(u + 3)
Suppose 5*t + 5*t**2 - 40*t + 85*t**2 - 85*t**2 - 850 = 0. What is t?
-10, 17
Let y(i) be the third derivative of 0*i - 5/24*i**4 + 1/24*i**6 + 13*i**2 - 5/3*i**3 + 1/6*i**5 + 2. Suppose y(m) = 0. What is m?
-2, -1, 1
Let u be 2/17 - (-19884)/(-7752). Let i = 269/418 - u. What is a in 14/11*a**2 + 12/11 - i*a = 0?
3/7, 2
Suppose -23*i + 103 = -150. Suppose 10*p = 6*p + r + i, -11 = -3*p - 2*r. Factor -1/2*f**p + 1/2*f - 3/2*f**2 + 3/2.
-(f - 1)*(f + 1)*(f + 3)/2
Factor 2*s - 1363 - 243*s**2 + 1339 + 244*s**2.
(s - 4)*(s + 6)
Let c be (16 - 3)/((-3 - -3) + 1). Let a be 26/(-8) + (780/c)/15. Factor -3/8 - 3/8*w**2 - a*w.
-3*(w + 1)**2/8
Let a = 26 - -1. Let i(x) = 3*x**3 - 4*x**2 - 13*x + 6. Let p(f) = -21*f**3 + 27*f**2 + 90*f - 42. Let v(h) = a*i(h) + 4*p(h). Factor v(m).
-3*(m - 1)**2*(m + 2)
Suppose 139 = 35*z - 71. Let g(q) = -13*q**2 - 8*q + 54. Let s(a) = -15*a**2 - 8*a + 55. Let w(t) = z*s(t) - 7*g(t). Factor w(x).
(x - 4)*(x + 12)
Let s be (-63 + 66)/(6/10). Let x(c) be the first derivative of -20*c**2 + s + 20*c + 25/4*c**4 - 35/3*c**3. Factor x(i).
5*(i - 2)*(i + 1)*(5*i - 2)
Let j = 258 + -234. Suppose -j = -318*i + 310*i. Factor -48/13*c - 32/13 - 18/13*c**2 - 2/13*c**i.
-2*(c + 1)*(c + 4)**2/13
Le