 1)
Let w(s) be the second derivative of -3/20*s**5 + 2 - s**3 - 71*s + 3/4*s**4 + 0*s**2. Suppose w(o) = 0. What is o?
0, 1, 2
Let v(j) be the third derivative of -j**6/240 + j**5/40 + 65*j**4/24 - j**2 - 2*j - 1523. Suppose v(r) = 0. What is r?
-10, 0, 13
Let c be (4/(-14))/(8/(-280)). Let t be ((-4)/c)/(5/(-25)). Determine w so that 0*w**t - 1/2*w**3 + 0 + 2*w = 0.
-2, 0, 2
Let c = -8567/2 - -4288. Let y(i) be the first derivative of -9/5*i**5 + 2*i**3 + 1/2*i**6 + 3/2*i**4 - c*i**2 + 3*i - 20. Factor y(w).
3*(w - 1)**4*(w + 1)
Let b(i) be the third derivative of -i**7/735 - i**6/60 + i**5/10 + 9*i**4/28 - 6*i**2 - 56. Solve b(c) = 0.
-9, -1, 0, 3
Factor -80/9*f**2 - 2/9*f**3 - 874/9*f - 1444/9.
-2*(f + 2)*(f + 19)**2/9
Let j(u) = -u - 3. Let b be j(-5). Let -2*k**4 + k**3 + 12*k + 2*k**b - 4*k - k - 8*k = 0. Calculate k.
-1, 0, 1/2, 1
Let z(h) be the first derivative of 3*h**5/5 - 15*h**4 - 43*h**3 - 33*h**2 - 1436. Determine q, given that z(q) = 0.
-1, 0, 22
Let k(d) be the third derivative of -d**5/12 + 35*d**4/2 - 410*d**3/3 + 88*d**2 - 1. What is s in k(s) = 0?
2, 82
Suppose 64/15*w**2 + 842/15*w**3 - 56*w - 64/15*w**4 + 0 - 2/15*w**5 = 0. Calculate w.
-42, -1, 0, 1, 10
Suppose -6*x + 10 = -4*x, -2*l + 170 = 2*x. Suppose -53*m + l = -13*m. Factor 1/3 + 0*f - 1/3*f**m.
-(f - 1)*(f + 1)/3
Let r(o) be the second derivative of 48 + 1/10*o**5 - 3*o**4 - 16*o**2 - 2*o + 11*o**3. Find j such that r(j) = 0.
1, 16
Let o(g) be the first derivative of -2*g**3/45 - g**2/5 + 16*g/3 + 3831. Factor o(h).
-2*(h - 5)*(h + 8)/15
Suppose -6 = -3*a - 3*l, 6 = -a + 4*a + l. Solve 109 - 133 - 64*b**a + 28*b**3 + 8*b**3 - 124*b = 0 for b.
-1, -2/9, 3
Let v(k) be the first derivative of -k**4/4 - 94*k**3/3 - 2385*k**2/2 - 8100*k + 488. Determine r, given that v(r) = 0.
-45, -4
Suppose 0 = 4*t - 16, -23*t - 6 = 3*i - 26*t. Find o, given that -803*o**i + 10*o + 18*o + 12 + 811*o**2 = 0.
-3, -1/2
Let r be 2 + (-16150)/2030 + 6 + -1. Let f = r + 36/29. Determine g, given that 48/7*g**2 + 64/7*g + f*g**4 + 32/7 + 16/7*g**3 = 0.
-2
Determine x, given that -3529*x - 224 - 13127*x - 4329452*x**3 - 11000820*x**4 + 1661168*x**5 - 361584*x**2 - 208887*x**2 + 138575*x**2 = 0.
-1/4, -2/47, 7
Factor -181728*g**2 - 660*g + 363953*g**2 - 181695*g**2 - 600*g**4 + 645*g**3 + 125*g**5 - 360.
5*(g - 2)**3*(5*g + 3)**2
Let w = 415 - 367. Suppose -w + 48 = -20*u. Let 3/4*m**2 + u*m + 0 + 3/2*m**5 - 5/8*m**3 - 13/8*m**4 = 0. Calculate m.
-2/3, 0, 3/4, 1
Let h(o) be the second derivative of -1/10*o**6 + 110 + 0*o**2 + 32*o**3 + o + 51/20*o**5 - 20*o**4. Factor h(i).
-3*i*(i - 8)**2*(i - 1)
Let w(t) be the third derivative of -t**5/180 + 127*t**4/72 - 7*t**3 + 3*t**2 - 101. Factor w(h).
-(h - 126)*(h - 1)/3
Suppose -4*w - 5*b + 4*b + 2 = 0, 6 = 5*w + 3*b. Determine n so that -6*n**2 - 2*n**3 + w*n**2 - n - 13*n**2 + 31*n**2 + 15*n = 0.
-1, 0, 7
Let b(u) = -27*u + 164. Let w be b(6). Factor -16*m**3 + 6*m + 4 + 4*m**4 - 31*m**2 - 22*m + 55*m**w.
4*(m - 1)**4
Factor 4/3*c**3 + 2 - 2/9*c**4 + 16/3*c**2 + 52/9*c.
-2*(c - 9)*(c + 1)**3/9
Let a(r) = 74*r - 71. Suppose -10 = -299*l + 289*l. Let w be a(l). Factor -12/23 + 2/23*c**w + 22/23*c - 12/23*c**2.
2*(c - 3)*(c - 2)*(c - 1)/23
Suppose 19 = -4*b + 2*c + 73, -1 = c. Let s(r) = r**2 - 17*r - 15. Let g be s(18). Let -3*n**g + 16*n**4 - b*n**4 - 2*n**5 + 5*n**5 - 3*n**2 = 0. Calculate n.
-1, 0, 1
Let s(h) be the first derivative of h**4/18 + 22*h**3/27 + 35*h**2/9 + 50*h/9 - 4741. What is b in s(b) = 0?
-5, -1
Let b(c) = -25*c**2 - 20*c + 39. Let l(p) = -11*p**2 - 10*p + 20. Let h(d) = -4*b(d) + 9*l(d). Let a be h(3). Factor 0 + t - 5/6*t**2 + 1/6*t**a.
t*(t - 3)*(t - 2)/6
Let l be (-1634)/(-1320) - (-48)/(-40). Let h(k) be the third derivative of -l*k**4 + 19*k**2 + 0 - 2/11*k**3 + 1/660*k**6 + 0*k + 1/165*k**5. Factor h(a).
2*(a - 2)*(a + 1)*(a + 3)/11
Factor -128/5 - 36/5*w**2 + 132/5*w + 1/5*w**3.
(w - 32)*(w - 2)**2/5
Let w = 414 + -393. Factor 33*z**2 - 16*z + 21*z**2 - 11*z + 3*z - w*z**3 - 9*z**4.
-3*z*(z - 1)*(z + 4)*(3*z - 2)
Let u(f) = -6*f**3 + 6*f**2 - 333*f + 530. Let m(l) = -10*l**3 + 6*l**2 - 500*l + 800. Let a(o) = -5*m(o) + 8*u(o). Solve a(k) = 0 for k.
-15, 2, 4
Let c be 60125/239316 - (-2)/4. Let m = -2/1617 + c. Factor -3/4 - m*b**2 - 3/2*b.
-3*(b + 1)**2/4
Factor 160*q**5 - 155*q**5 + 5460125*q**3 + 1960*q**4 + 8490*q**4.
5*q**3*(q + 1045)**2
Let h(w) be the second derivative of -w**4/36 - 65*w**3/9 - 43*w**2/2 + 348*w. Solve h(d) = 0.
-129, -1
Let l be 237/20 + 981/218*2/(-15). Factor 0 - 3*n**4 + 0*n + l*n**3 + 3*n**2.
-3*n**2*(n - 4)*(4*n + 1)/4
Let v(o) be the third derivative of 1/1512*o**8 + 4/27*o**4 + 0 + 14*o**2 + 2/45*o**6 + 0*o**3 + 0*o + 16/135*o**5 + 8/945*o**7. Determine k so that v(k) = 0.
-2, 0
Let c(x) be the third derivative of -2/195*x**5 + 66*x**2 + 0 + 0*x + 1/780*x**6 + 1/39*x**4 + 0*x**3. Factor c(i).
2*i*(i - 2)**2/13
Factor -90 - 1/2*b**3 + 45/2*b**2 + 2*b.
-(b - 45)*(b - 2)*(b + 2)/2
Let z = -272593/7 + 38951. Factor 1/7*m**2 + z - 16/7*m.
(m - 8)**2/7
Determine w, given that 58/3 + 175/3*w + w**2 = 0.
-58, -1/3
Let x = 44272/9709 + 16/1387. Suppose 3*h + 3 - 9 = 0. Let -x*d - 64/7 - 4/7*d**h = 0. What is d?
-4
Let t(r) be the first derivative of -r**6/6 + r**5/5 + 13*r**4/2 + 8*r**3 + 16. Solve t(q) = 0.
-4, -1, 0, 6
Let -5*v**2 + 723 - 110*v - 2354 + 601 + 830 = 0. What is v?
-20, -2
Let m(s) = s. Let n be m(6). Suppose 5017*t - 5006*t - 33 = 0. Factor 3*o**2 - 4*o**5 - 3*o**t - n*o**3 - 27*o**3 + 25*o**2 - 8*o + 20*o**4.
-4*o*(o - 2)*(o - 1)**3
Determine k so that 5*k**2 - 567*k - 638 + k**2 - 535*k + 322 + 8*k**2 = 0.
-2/7, 79
Let n(z) = 24*z**3 + 17*z**2 - 34*z + 13. Let i(c) = 441*c**2 - c**3 - 2 + 1 - 442*c**2 + c**4 + c. Let t(o) = 4*i(o) + n(o). Determine f so that t(f) = 0.
-3, 1/2
Let r be (-25 - -18) + 1*7. Suppose r = -h - 0*u - 4*u + 10, -3*u + 6 = 0. Factor 3/5*p**h + 12/5 - 12/5*p.
3*(p - 2)**2/5
Factor -31255875 - 1366*i**3 - 5*i**4 - 3257*i**3 - 103*i**3 - 156577050*i - 391571*i**2 - 1097749*i**2.
-(i + 315)**3*(5*i + 1)
Let d be -1 + 6 + (-952)/24*-15. What is z in 68*z**5 - 64*z**4 + d - 80*z**5 + 192*z**3 + 744*z**2 + 549*z - 789*z - 1220*z = 0?
-5, 2/3, 1, 3
Let k(r) = r. Let i be k(3). Let m be (-828)/(-66) + (-54)/99. Factor -499 + i*v**2 - m*v + 499.
3*v*(v - 4)
Let u(x) be the third derivative of -2*x**7/105 + 13*x**6/30 - 53*x**5/15 + 71*x**4/6 - 20*x**3 + x**2 + 25. Factor u(c).
-4*(c - 6)*(c - 5)*(c - 1)**2
Let s(r) = 2*r**2 - 11*r - 4. Let i be s(6). Suppose 3*q + 3*p - 42 = 0, -i*q - 4*p = -3*p - 23. Factor q*o - 10 + 26*o - 2*o + 2*o - 25*o**2.
-5*(o - 1)*(5*o - 2)
Let n(b) be the second derivative of -b**7/2 + 139*b**6/30 - 4*b**5 + b**4 + 3*b - 2198. Determine o so that n(o) = 0.
0, 2/7, 1/3, 6
Let o be -1 + (3100/72)/5 + 34/(-306). Let z(y) be the first derivative of 15/2*y**2 + 13 + 1/2*y**6 + o*y**4 - 10*y**3 - 3*y**5 - 3*y. Factor z(n).
3*(n - 1)**5
Let w = 102 + -96. Factor -85*v - 2*v**2 + w*v**2 + 48 + 2*v**3 + 34*v + 11*v.
2*(v - 2)**2*(v + 6)
Let k = 7006/1845 + 1/369. Suppose 24*d - 21*d + 30 = 0, 4*z - 18 = d. Factor -k*l - 1/5*l**3 - 9/5 - 11/5*l**z.
-(l + 1)**2*(l + 9)/5
Let y(l) = -25*l**2 - 33500*l - 4326780. Let k(z) = 2*z**2 + 2577*z + 332829. Let x(o) = -40*k(o) - 3*y(o). Factor x(f).
-5*(f + 258)**2
Let q(y) be the second derivative of -y**4/6 + 3*y**3 - 14*y**2 - 66*y - 2. Factor q(c).
-2*(c - 7)*(c - 2)
Factor 846*g + 3*g**2 - 6612*g - 348 + 348.
3*g*(g - 1922)
Let c(m) be the first derivative of -m**4/15 + 36*m**3/5 - 1458*m**2/5 - 50*m + 67. Let u(o) be the first derivative of c(o). Factor u(i).
-4*(i - 27)**2/5
Let q(m) = -m**3 - m - 1. Let g = -25 + 27. Let b(i) = -i**3 + 0 - 2*i**2 + g*i**3 + 1 + 2*i + 1. Let a(x) = -3*b(x) - 6*q(x). Factor a(r).
3*r**2*(r + 2)
Factor 274*k + 254*k - 250 - 4*k**2 - 274.
-4*(k - 131)*(k - 1)
Let i(d) = d**2 - 16*d + 32. Let f be i(14). Suppose -f*v + 9*v + 25 = 0, 2*r + v = 1. Solve l**3 + 2*l**2 - 3*l**r - l**3 - 12*l + 10*l**2 = 0.
0, 2
Factor 63/2*b**3 + 0 - 63/2*b - 1/4*b**2 + 1/4*b**4.
b*(b - 1)*(b + 1)*(b + 126)/4
Let t be -2*4/(8/45). Let m = 70 + t. Factor -46*p - 10 + 18*p**2 + 79*p + m.
3*(p + 1)*(6*p + 5)
Determine n so that 256/7 - 2/7*n**5 - 32/7*n + 88/7*n**3 - 200/7*n**2 - 2/7*n**4