 2)
Let w(d) be the first derivative of 3*d**5/5 + 3*d**4/2 - 23*d**3 + 18*d**2 + 108*d + 5792. Let w(f) = 0. Calculate f.
-6, -1, 2, 3
Suppose -6 + 20 = 3*o - a, -2*a = -5*o + 24. Suppose -o + 8 = 2*b. Determine d so that 22*d**2 + 16*d**2 + 5*d + 10*d**4 + 25*d**3 - 18*d**b = 0.
-1, -1/2, 0
Let j(v) be the third derivative of -4*v**7/105 - v**6/12 + 19*v**5/10 - 83*v**4/12 + 35*v**3/3 + 2911*v**2. Let j(i) = 0. Calculate i.
-5, 1, 7/4
Let a(n) be the second derivative of 2*n**6/15 + 16*n**5/5 + 46*n**4/3 - 96*n**3 + 162*n**2 + 4*n + 60. Factor a(w).
4*(w - 1)**2*(w + 9)**2
Let q(n) = -18*n**3 + 23*n**2 + 34*n - 7. Let w(m) = 5*m**3 - 8*m**2 - 11*m + 2. Let y = -830 + 837. Let x(l) = y*w(l) + 2*q(l). Factor x(j).
-j*(j + 1)*(j + 9)
Suppose -72/5 + 186/5*w - 159/5*w**2 + 48/5*w**3 - 3/5*w**4 = 0. Calculate w.
1, 2, 12
Let j(r) be the first derivative of 116 - 2*r**3 - 1/4*r**4 + 100*r + 15/2*r**2. Factor j(y).
-(y - 4)*(y + 5)**2
Solve 2*b**2 + 18*b**2 + 8*b - 24*b**2 + 6 + 2 + 2*b**2 - 2*b**3 = 0.
-2, -1, 2
What is u in -1/3*u**4 - 88/3*u + 1936/3 - 645*u**2 + 88/3*u**3 = 0?
-1, 1, 44
Let n(p) be the first derivative of -p**4/48 + 37*p**3/9 - 1775*p**2/8 - 1875*p/2 + 1067. Factor n(h).
-(h - 75)**2*(h + 2)/12
Let l(v) = v**2 + 15*v + 16. Let t be l(-13). Let y be (-35)/(-25) - 6/t. Find d such that -2*d**5 + 3*d**4 + 4*d**5 + d**5 + 6*d - 9*d**3 - 3*d**y = 0.
-2, -1, 0, 1
Let c(h) = -19*h**4 - 31*h**3 + 715*h**2 - 2297*h + 2174. Let y(d) = -44*d**4 - 72*d**3 + 1668*d**2 - 5360*d + 5072. Let a(q) = 16*c(q) - 7*y(q). Factor a(x).
4*(x - 3)**2*(x - 2)*(x + 10)
Factor 11163*i**4 + 9711*i**2 + 4086*i**3 - 19473*i**3 + 12 + 708*i - 6207*i**3.
3*(i - 1)**2*(61*i + 2)**2
Let d = 236 + -234. Factor 12*m - 4*m**d - 3 + 3 - 84*m.
-4*m*(m + 18)
Let l(d) = 245*d + 835. Let m(v) = 9*v + 31. Let i(x) = 2*l(x) - 55*m(x). Let h be i(-7). Factor 3/2*z**2 + 0 + 3/2*z**3 + h*z.
3*z**2*(z + 1)/2
Solve -3152*s**2 - 12288/7 + 16/7*s**5 + 1968/7*s**3 - 54784/7*s + 452/7*s**4 = 0.
-16, -2, -1/4, 6
Let m(b) = -2*b**5 + 10*b**4 - 2*b**3 - 37*b**2 + 41*b + 10. Let t(u) = -u**5 + 5*u**4 - u**3 - 19*u**2 + 20*u + 4. Let r(w) = 2*m(w) - 5*t(w). Factor r(n).
n*(n - 3)**2*(n - 1)*(n + 2)
Let g(i) = 29*i - 142. Let s be g(5). Solve 72*p**2 + 13824 + p**s + 584*p - 165*p + 701*p + 608*p = 0.
-24
Let n = 6390 + -57509/9. Let s(v) be the third derivative of 0 + 0*v + 0*v**3 + 3*v**2 + n*v**4 - 1/180*v**6 + 0*v**5. Factor s(i).
-2*i*(i - 2)*(i + 2)/3
Let b(w) be the first derivative of -3*w**4/28 - 138*w**3/7 + 849*w**2/14 + 180*w + 8477. What is x in b(x) = 0?
-140, -1, 3
Let k(z) be the third derivative of 7*z**6/1020 + 3*z**5/34 - 22*z**4/17 + 292*z**3/51 - 217*z**2 - 7*z. Let k(o) = 0. What is o?
-73/7, 2
Let r(q) be the first derivative of -q**5/5 - 9*q**4/2 + 43*q**3/3 + 30*q**2 + 322. Factor r(a).
-a*(a - 3)*(a + 1)*(a + 20)
Let i = -317 - -525. Let 3*l**3 - 112*l**2 + 99*l**2 - 3267 + i*l**2 + 3069*l = 0. Calculate l.
-33, 1
Let g(a) be the third derivative of -1/140*a**6 + 1/21*a**4 + 0 - 4/735*a**7 + 2/105*a**5 + 0*a**3 - 1/1176*a**8 - 2*a**2 - 2*a. Determine x so that g(x) = 0.
-2, -1, 0, 1
Let n be (18/(-12) + 1)/(3/(-30)). Suppose 88*x + 15*x**2 - 16*x**2 + n*x**2 = 0. What is x?
-22, 0
Let a = -10 + -22. Let u be 4*2/20 - a/(-5). Let x(y) = -y**5 - y**3 - 24*y**2 - 10*y - 6. Let n(r) = -r**4 + r - 1. Let s(f) = u*n(f) + x(f). Factor s(o).
-o*(o - 4)**2*(o + 1)**2
Let o(r) be the second derivative of r**4/18 - 49*r**3/6 + 73*r**2/6 - 116*r. Factor o(w).
(w - 73)*(2*w - 1)/3
Let p = -1559/45 + 3253/90. Factor -27/2 - 12*u + p*u**2.
3*(u - 9)*(u + 1)/2
Let c(q) be the third derivative of 7*q**6/1200 + 29*q**5/300 - 4*q**4/3 - 8*q**3/5 - 156*q**2. Factor c(b).
(b - 4)*(b + 12)*(7*b + 2)/10
Let r(d) be the third derivative of -d**6/1080 + d**5/108 - d**4/27 + 2*d**3/27 - 12*d**2 + 21. Factor r(y).
-(y - 2)**2*(y - 1)/9
Let g(w) be the first derivative of -4*w**2 - 4/3*w**3 - 55 + 12*w. Determine s so that g(s) = 0.
-3, 1
Let q(l) = 4*l**4 - 31*l**3 - 77*l**2 - 42*l - 6. Let p(a) = -5*a**4 + 29*a**3 + 77*a**2 + 43*a + 8. Let s(t) = -3*p(t) - 4*q(t). Factor s(b).
-b*(b - 39)*(b + 1)**2
Let t(r) be the first derivative of 4*r**3/15 - 176*r**2/5 - 2354. Find z such that t(z) = 0.
0, 88
Let x = 13121 + -13117. Let q(s) be the first derivative of -14/3*s**3 + 1/2*s**x - 24*s - 32 + 16*s**2. Determine u, given that q(u) = 0.
2, 3
Let v(k) be the second derivative of -k**4/48 + 23*k**3/24 - 15*k**2/2 + 1318*k. Factor v(b).
-(b - 20)*(b - 3)/4
Find j such that -2/9*j**2 + 0 + 26/9*j = 0.
0, 13
Let n(r) be the third derivative of -r**7/420 - 67*r**6/240 - 97*r**5/60 - 8*r**4/3 - 372*r**2 + 2*r. Factor n(j).
-j*(j + 1)*(j + 2)*(j + 64)/2
Let x(w) = -w**3 - 7 - 14 + 5*w**3 - 8*w + 15. Let t(q) = -q**2. Let a be 54/(-14) + (-8)/56. Let f(c) = a*t(c) + 2*x(c). Factor f(j).
4*(j + 1)**2*(2*j - 3)
Let n = 411 - 407. Suppose 0 = -6*h + 4*h, 0 = -v - n*h + 3. Factor -6/11*q**v + 20/11*q**2 - 8/11*q - 16/11.
-2*(q - 2)**2*(3*q + 2)/11
Let b be (-10 + 11)*(12*-1)/(-4). Let q(w) be the second derivative of 2/57*w**b + 0*w**2 + 0 + 5*w + 1/114*w**4. Let q(t) = 0. Calculate t.
-2, 0
Let z = -22361 - -22389. Let q(o) be the second derivative of 0*o**2 + 0 + 1/20*o**5 + 2/3*o**3 - 1/3*o**4 - z*o. Determine u so that q(u) = 0.
0, 2
Let n(q) = 12*q**3 + 150*q**2 + 1569*q + 684. Let m(s) = -s**3 - s**2 + s + 84. Let x(o) = -9*m(o) - n(o). Determine f, given that x(f) = 0.
-30, -16, -1
Let y(n) be the third derivative of -n**7/1155 - 43*n**6/660 - 91*n**5/55 - 9*n**4 + 3240*n**3/11 + 44*n**2 - 30*n. Solve y(o) = 0.
-18, -10, 3
Let b = -120079 + 120082. Solve 14/17*d**2 - 2/17*d**4 + 0 - 12/17*d**b + 0*d = 0.
-7, 0, 1
Let j(x) = -9*x**3 - 118*x**2 - 1382*x + 5780. Let h(f) = -5*f**3 - 59*f**2 - 679*f + 2891. Let i(c) = -7*h(c) + 4*j(c). Factor i(t).
-(t - 3)*(t + 31)**2
Let a(o) be the second derivative of -37*o**4/12 + 611*o**3/9 - 11*o**2/6 - 68*o + 15. Factor a(g).
-(g - 11)*(111*g - 1)/3
Let q(x) = x**2 + 5*x - 14. Let i be q(4). Suppose 12*d = i*d - 20. Suppose -1/6*h**d + 0*h + 1/6*h**3 + 0 = 0. What is h?
0, 1
Let z(l) = -l**2 - 9 - 29 + 10 - 16*l. Let q be z(-14). Let 3*x**4 + q*x**5 - 2*x**2 + 2*x - x**2 + 0*x**2 - x**5 - x**3 = 0. Calculate x.
-1, 0, 1, 2
Suppose 5*n + 6*q - 8*q = 35, 3*n = -2*q + 5. Let g(k) be the first derivative of 0*k + 0*k**2 + 2/17*k**3 + 2/85*k**n - 19 - 2/17*k**4. Factor g(c).
2*c**2*(c - 3)*(c - 1)/17
Let d(l) be the first derivative of l**4/26 + 6*l**3/13 - 265*l**2/13 - 42*l + 5971. Suppose d(b) = 0. What is b?
-21, -1, 13
Suppose 94*j**2 + 4600*j + 16928 + 1/2*j**3 = 0. Calculate j.
-92, -4
Let o be (-47 - -47) + -4 + -5 + 11 + -2. Find v, given that -1/3*v**3 + 1/3*v + o - 1/3*v**4 + 1/3*v**2 = 0.
-1, 0, 1
Let z be -6 - (-250)/30 - 1/3. Let h(o) = -o**2 - 7*o - 7. Let t be h(-5). Find p, given that 18*p - 12*p + t*p**z + 12 - 18*p = 0.
2
Let x(r) be the first derivative of 23/12*r**4 - 1/9*r**3 - 2*r - 23/6*r**2 + 62 + 7/15*r**5. Let x(v) = 0. Calculate v.
-3, -1, -2/7, 1
Let m(t) be the third derivative of -t**5/30 - 113*t**4/12 + 38*t**3 + 5*t**2 + 7. Factor m(i).
-2*(i - 1)*(i + 114)
Suppose -810695 - 335326 - 2960957 + 4112710*g - 5734*g**2 - 17*g**3 - 11*g**3 + 30*g**3 = 0. Calculate g.
1, 1433
Determine k, given that 8254*k + 6359714 + 54274027 - 43084*k + 5*k**2 + 22704 = 0.
3483
Let t be 110/(-33)*990/(-1650). Factor -110304/5*k**t - 548/3*k**4 + 10/3*k**5 - 15552/5 + 50768/15*k**3 + 80352/5*k.
2*(k - 18)**3*(5*k - 2)**2/15
Factor -81/4*v**2 - 3/4*v + 81/4 + 3/4*v**3.
3*(v - 27)*(v - 1)*(v + 1)/4
Let m(u) be the third derivative of 1/75*u**5 - u + 0*u**3 - 21*u**2 + 0 - 7/30*u**4. Find s such that m(s) = 0.
0, 7
Let 4*z**2 + 2256 + 32*z + z**2 - 636 - 101*z - 751*z = 0. Calculate z.
2, 162
Let z(g) be the second derivative of -g**5/660 - g**4/22 + 57*g**2 + 3*g. Let t(w) be the first derivative of z(w). Suppose t(m) = 0. What is m?
-12, 0
Factor 2/3*h**2 - 260/3 - 86*h.
2*(h - 130)*(h + 1)/3
Let k = 67556 + -67556. Find c such that -4/7*c + k + 2/3*c**3 - 2/21*c**5 - 2/21*c**4 + 2/21*c**2 = 0.
-3, -1, 0, 1, 2
Factor -1/4*w**2 - 99/4 + 25*w.
-(w - 99)*(w - 1)/4
Let p(r) be the third derivative of -r**5/240 - 11*r**4/12 + 16*r**2 + 11*r - 3. What is