f -y**9/12096 + y**7/3360 - 11*y**3/6 - 80*y. Let b(a) be the second derivative of i(a). Factor b(q).
-q**3*(q - 1)*(q + 1)/4
Find y, given that -54/5*y + 18*y**2 + 0 + 78/5*y**3 + 14/5*y**4 = 0.
-3, 0, 3/7
Let w(r) be the first derivative of -r**6/27 + 4*r**5/15 - r**4/6 - 52*r**3/27 + 8*r**2/3 - 847. Let w(x) = 0. What is x?
-2, 0, 1, 3, 4
Suppose 5*a - 56 = -231. Let x(t) = 50*t**3 - 2075*t**2 + 12205*t - 35. Let o(l) = 3*l**3 - 122*l**2 + 718*l - 2. Let q(b) = a*o(b) + 2*x(b). Factor q(z).
-5*z*(z - 12)**2
Let f be ((-30)/4)/(16/(-52) - (-17)/6188*-434). Let -2/5*r**f - 14/5*r**2 + 0 + 14/5*r**4 + 12/5*r - 2*r**3 = 0. What is r?
-1, 0, 1, 6
Solve 604/9*q + 45602/9 + 2/9*q**2 = 0 for q.
-151
Let h(t) be the second derivative of 1/5*t**5 + 0*t**2 + 13*t - 2/3*t**4 + 4/15*t**6 - t**3 + 0 + 1/21*t**7. Factor h(p).
2*p*(p - 1)*(p + 1)**2*(p + 3)
Suppose 0 = 16*r - 2 - 62. Factor r*h**2 + 50*h**4 - 12*h**3 - 60*h**4 - 8 + 12*h + 14*h**4.
4*(h - 2)*(h - 1)**2*(h + 1)
Let g be 111/(-45) - 520/(-195). Let w(b) be the first derivative of 0*b - 7 + 4/15*b**3 + 1/10*b**4 + g*b**2. Factor w(l).
2*l*(l + 1)**2/5
Let t(g) = -4*g**2 + 148*g - 3. Let z(d) = -d**2 + 70*d - 1. Let b(s) = -5*t(s) + 15*z(s). Factor b(j).
5*j*(j + 62)
Let v(k) be the third derivative of k**6/300 + 29*k**5/15 + 48*k**4/5 - 5*k**2 + 3*k - 6. Factor v(m).
2*m*(m + 2)*(m + 288)/5
Let h(q) = -q**3 + q**2 - 24*q - 89. Let w be h(-5). Let b = 1271/7 - w. Factor -b*u**5 + 8/7*u**4 - 16/7*u - 16/7*u**2 + 12/7*u**3 + 0.
-4*u*(u - 2)**2*(u + 1)**2/7
Determine u so that -6720/11*u + 2/11*u**5 + 114/11*u**4 - 6272/11 + 152*u**3 + 1112/11*u**2 = 0.
-28, -2, -1, 2
Let q be (118/(-50) - -2)/(16/(1120/(-21))). Factor 0 - 3/5*o**3 + q*o**2 + 9/5*o.
-3*o*(o - 3)*(o + 1)/5
Let f(w) = -w**2 - w - 102. Let l be f(0). Let y = -100 - l. Factor 10/7*c**3 - 8/7*c**4 + 0 - 4/7*c**y + 2/7*c**5 + 0*c.
2*c**2*(c - 2)*(c - 1)**2/7
Suppose 4*p + 0*h - 1757 = 5*h, 4*h = p - 442. Suppose p = 4*f - 5*w, w + 2*w = f - 106. Factor -120*j**4 - 80*j**2 + 148*j**3 + 16*j - f + 36*j**5 + 112.
4*j*(j - 1)**2*(3*j - 2)**2
Let v(m) be the first derivative of 66 - 3/2*m - 1/12*m**3 + 7/8*m**2. Factor v(f).
-(f - 6)*(f - 1)/4
Let n(k) = -574*k + 17224. Let b be n(30). Let d(g) be the second derivative of -1/30*g**5 + 0 + 0*g**2 - 1/18*g**b - 33*g + 0*g**3. Factor d(l).
-2*l**2*(l + 1)/3
Let m(l) = -l**3 - 11*l**2 + l + 13. Let k be m(-11). Suppose 2*h - k*g = 8, 5*h = g + 11 + 1. Factor 3*x + 2 - 3 - 26*x**h + 29*x**2 - 5.
3*(x - 1)*(x + 2)
Let w(f) be the first derivative of 1/2*f**4 - 13/3*f**2 + 4*f + 8/9*f**3 + 6. Suppose w(n) = 0. What is n?
-3, 2/3, 1
Let d = 418682 + -418680. Suppose 2/5*x**d + 14/5*x + 12/5 = 0. Calculate x.
-6, -1
Factor 95/2*k - 225 - 1/2*k**2.
-(k - 90)*(k - 5)/2
Let k(s) = -6*s + 2. Let g be k(0). Factor 8*i + 57 + 0*i - 57 + 4*i**g.
4*i*(i + 2)
Suppose -t = 6 + 3. Let c = 23 + t. Let -5*v**3 - c*v - v**3 + v**2 + 6*v + 15*v**2 = 0. Calculate v.
0, 2/3, 2
Let u be 0/1 - (-4 + 2). Let b = 18 - u. Let -25 + 9 - 8 + 4*c + b*c**2 + 4*c**3 = 0. What is c?
-3, -2, 1
Factor -79998*f + 22849 - 802*f**2 - 6224 + 0*f**3 - 2*f**3 + 64177.
-2*(f - 1)*(f + 201)**2
Let a(c) be the first derivative of c**3 - 195*c**2/2 - 198*c + 1488. Factor a(q).
3*(q - 66)*(q + 1)
Let c(b) be the second derivative of 25*b**4/8 + 7115*b**3/12 - 475*b**2/2 - 369*b - 4. Factor c(o).
5*(o + 95)*(15*o - 2)/2
Let m(z) be the first derivative of 0*z**3 + 7*z**2 + 1/30*z**5 - 16 + 0*z + 0*z**4. Let b(v) be the second derivative of m(v). Find k such that b(k) = 0.
0
Let o(s) be the first derivative of -s**4/20 + s**3/3 + 2*s**2/5 - 4*s - 68. Factor o(k).
-(k - 5)*(k - 2)*(k + 2)/5
Let h(w) be the second derivative of -w**4/48 + 167*w**3/6 - 27889*w**2/2 - 1937*w. Factor h(d).
-(d - 334)**2/4
Determine y, given that 126*y**2 + 59*y**3 + 552 + 453*y - 110*y**3 + 48*y**3 + 87*y = 0.
-2, 46
Factor -1616 + 1604/3*m + 4/3*m**2.
4*(m - 3)*(m + 404)/3
Let i = -34 - -171. Factor -28*k**2 + 54*k**3 + 64*k**5 - 24*k**4 + 71*k**5 - i*k**5.
-2*k**2*(k - 1)**2*(k + 14)
Let l(n) = 9*n**2. Let m(k) = 10*k**2 + 2510*k + 628. Let t(f) = -2*l(f) + m(f). Solve t(c) = 0.
-1/4, 314
Let b = 92 + -89. Suppose 5*t = -2*j + 10, -t + b*j + 2 = j. What is o in -2*o - 4*o**t + 5 - 2 - o**2 + 4*o**2 = 0?
-3, 1
Let w(l) = -15*l**4 - 85*l**3 - 420*l**2 - 185*l + 720. Let c(x) = 13*x**4 + 89*x**3 + 419*x**2 + 187*x - 720. Let r(d) = 5*c(d) + 4*w(d). Factor r(q).
5*(q - 1)*(q + 3)**2*(q + 16)
Suppose 34*a = 32*a + 3*r + 19, 5*r = -2*a - 21. Let -54*u - 3/2*u**a - 486 = 0. Calculate u.
-18
Factor r**4 - 2993 + 1034 + 781*r**2 + 26*r**3 + 31*r**3 + 277 - 957*r.
(r - 2)*(r + 1)*(r + 29)**2
Let j = 20 + -15. Suppose -99 = -j*s - 28*s. Factor -17/5*g - 1/5 - 64/5*g**s - 16*g**2.
-(g + 1)*(8*g + 1)**2/5
Let f(x) be the second derivative of x**7/28 - 9*x**6/5 + 1311*x**5/40 - 1027*x**4/4 + 903*x**3 - 1470*x**2 + 1097*x. Find k, given that f(k) = 0.
1, 2, 5, 14
Let c = 104/10301 + -39618998/133913. Let n = c + 296. Let 4/13*u**3 - 4/13*u**2 + 2/13*u**4 - 2/13*u + n - 2/13*u**5 = 0. What is u?
-1, 1
Suppose 71781*b**4 - 330*b - 320 - 368*b**2 + 1018*b - 44*b**3 - 71741*b**4 + 4*b**5 = 0. What is b?
-10, -4, 1, 2
Let 340*k**4 + 32*k**5 + 1076*k - 141*k**2 - 497*k**3 + 1500*k**2 - 480 + 313*k**2 - 612*k + 1709*k**3 = 0. What is k?
-5, -2, 3/8
Let r(u) be the second derivative of -u**4/42 - 32*u**3/7 - 3*u - 1445. Find l such that r(l) = 0.
-96, 0
Let b(r) be the third derivative of -r**7/1365 + 19*r**6/780 - 19*r**5/130 - 175*r**4/156 - 98*r**3/39 - 2*r**2 + r - 111. Find a such that b(a) = 0.
-1, 7, 14
Suppose -850*x + 842*x = 8. Let z(a) = 1 + 4 - 4. Let l(k) = -4*k**2 - 20*k - 36. Let y(m) = x*l(m) - 20*z(m). Factor y(g).
4*(g + 1)*(g + 4)
Determine o, given that -1072/13*o**3 + 1072/13*o + 2/13*o**4 + 143646/13*o**2 - 143648/13 = 0.
-1, 1, 268
Let a(h) = 24*h**2 + 20*h. Let j(k) = k**3 - 48*k**2 - 39*k. Let m be 1/(-1 - (-10)/8). Let n(v) = m*j(v) + 10*a(v). Factor n(b).
4*b*(b + 1)*(b + 11)
Let c(k) = -k**3 + 4*k**2 - 4. Let f be c(3). Suppose -11*m = 11*m - 330. Determine s, given that f*s**2 + 101 + m*s - 101 = 0.
-3, 0
Let w(s) be the second derivative of s**4/24 - 2*s**3 - 145*s**2/4 - 53*s - 3. What is b in w(b) = 0?
-5, 29
Factor 682*z**3 - 13*z**4 - 1666*z**3 + 9*z**4 - 976*z - 1956*z**2 + 0*z**4.
-4*z*(z + 1)**2*(z + 244)
Let s(x) = -9*x**3 + 1618*x**2 + 3263*x + 1636. Let b(g) = -14*g**3 + 2426*g**2 + 4894*g + 2454. Let v(w) = 5*b(w) - 8*s(w). Suppose v(z) = 0. What is z?
-1, 409
Let f(v) be the second derivative of -v**5/25 - 2*v**4/15 + 86*v**3/15 + 56*v**2 - 682*v. Factor f(q).
-4*(q - 7)*(q + 4)*(q + 5)/5
Let a be (-6)/4*1*(-20)/15. Suppose q + 3 = -a*j, -4*q - 12*j + 24 = -13*j. Suppose 0 + 2*z**q + 1/4*z**2 + 3/2*z**3 + 0*z + 3*z**4 = 0. What is z?
-1/2, 0
Factor 143*i**3 + 84*i - 53*i**3 + 39*i - 256*i**2 + 13 + 45*i - 45.
2*(i - 2)*(5*i - 2)*(9*i - 4)
Let w(p) be the first derivative of p**7/1680 - p**6/360 + p**5/240 - 69*p**3 - 207. Let x(j) be the third derivative of w(j). Factor x(c).
c*(c - 1)**2/2
Let n(o) = 5*o**2 + 106*o - 361. Let y be n(3). Factor 2/15*v**4 + 0*v**3 + 0 - 2/15*v**y + 0*v.
2*v**2*(v - 1)*(v + 1)/15
Let s(t) = -t**3 + 5*t**2 - 7*t - 7. Let o be s(3). Let b be 1908/(-3975)*(-1)/((-3)/o). Factor 1/5*d**3 + b + 4/5*d**4 - 2*d**2 + 1/5*d**5 - 4/5*d.
(d - 1)**2*(d + 2)**3/5
Factor -81/5 - 12/5*s**3 - 18/5*s**2 + 108/5*s + 3/5*s**4.
3*(s - 3)**2*(s - 1)*(s + 3)/5
Solve 0 - 1/5*z**5 - 24/5*z**3 - 9/5*z**4 + 0*z - 16/5*z**2 = 0.
-4, -1, 0
Let k = 150959/47145 - 19/9429. Suppose 0*s**2 - k*s**3 + 0*s + 4/5*s**5 - 12/5*s**4 + 0 = 0. What is s?
-1, 0, 4
Let m(l) = -60*l**3 - 255*l**2 + 105*l + 65. Let i(t) = -63*t**3 - 255*t**2 + 106*t + 66. Let z(u) = 5*i(u) - 6*m(u). Find f, given that z(f) = 0.
-6, -1/3, 2/3
Let y(m) = 5794*m + 63737. Let c be y(-11). Factor 4/3 - 1/3*h**c - 1/3*h**2 + 4/3*h.
-(h - 2)*(h + 1)*(h + 2)/3
Let j = 590 + -585. Let o(u) be the first derivative of -u**3 + 0*u + 9 + 3*u**2 - 3/2*u**4 + 3/5*u**j. Factor o(y).
3*y*(y - 2)*(y - 1)*(y + 1)
Let r(f) = -2*f**3 + 107*f**2 - 155*f - 52. Let m be r(52). Let m + 2/11*z**2 - 4/11*z + 2/11*z**3 = 0. What is z?
-2, 0, 1
Let 2/11*g**4 + 84/11*g**2 + 40/11*g + 24/11*g**3 -