ird derivative of 2*o**7/105 - 7*o**6/15 + 44*o**5/15 - 20*o**4/3 - 150*o**2. Factor s(a).
4*a*(a - 10)*(a - 2)**2
Let n(v) = v**2 - 1708*v + 5117. Let h be n(3). Factor -5/4*z**h - 25/2 + 35/4*z.
-5*(z - 5)*(z - 2)/4
Let o(t) be the third derivative of 0 - 58*t**2 - 1/18*t**5 + 2*t + 4*t**3 - 1/6*t**4 - 1/360*t**6. Determine p so that o(p) = 0.
-6, 2
Let i = -2448003/5 - -489601. Suppose -i*r**4 - 6/5 - 4/5*r + 8/5*r**2 + 4/5*r**3 = 0. Calculate r.
-1, 1, 3
Suppose -3*j = -4*x + 11, -57*x - 1 = -58*x - j. Let r(z) be the second derivative of 9/8*z**5 + 0*z**x + 6*z - 5/12*z**4 + 0 + 0*z**3. Factor r(f).
5*f**2*(9*f - 2)/2
Let s(f) = f + 7. Let p be s(-2). Suppose -5*w = -10 - p. Suppose -10*n**4 - n**5 + 0*n**w - n - 14*n - 4*n**5 + 20*n**3 + 10*n**2 = 0. What is n?
-3, -1, 0, 1
Find s such that -3/2*s**2 + 498 + 993/2*s = 0.
-1, 332
Let t(g) be the third derivative of -g**5/105 - 29*g**4/42 - 8*g**3/3 + 4292*g**2. Factor t(w).
-4*(w + 1)*(w + 28)/7
Determine s, given that -668/15 + 2/15*s**2 - 22*s = 0.
-2, 167
Let x(g) = 36*g**2 + 14256*g - 25312. Let l(u) = -5*u**2 - 2026*u + 3616. Let b(j) = 44*l(j) + 6*x(j). Determine f, given that b(f) = 0.
-904, 2
Suppose -27 = -4*l + d, -33*l + 4*d + 74 = -34*l. Determine o so that 10/3*o**l - 5/3 + 1/3*o**5 - 5/3*o**4 - 2/3*o**3 + 1/3*o = 0.
-1, 1, 5
Let k(f) be the first derivative of 3*f**4/4 + f**3 - 3*f**2/2 - 9*f - 59. Let d(b) = 6*b**3 + 7*b**2 - 6*b - 17. Let p(a) = -3*d(a) + 5*k(a). Factor p(x).
-3*(x - 1)*(x + 1)*(x + 2)
Let n = 20/1307 - -25960/11763. Let a(p) be the first derivative of 0*p + 2/3*p**2 + 7/15*p**5 + 23/12*p**4 - 22 + n*p**3. Factor a(o).
o*(o + 1)*(o + 2)*(7*o + 2)/3
Let x(m) be the third derivative of -3/4*m**4 + 0 - 101*m**2 + 1/90*m**5 + 0*m + 0*m**3. Determine i so that x(i) = 0.
0, 27
Let m = 711053079/829196270 - -13/1600765. Let t = -1/2590 + m. Solve 0*q**3 + t*q**2 + 3/7 - 1/7*q**4 + 8/7*q = 0 for q.
-1, 3
Let r = -631 - -634. Let a(k) = -k**2 - 11*k + 3. Let n be a(-11). Suppose -8*j**4 - 13*j**2 + 2*j + 44*j**r - j**4 - 20*j**n = 0. Calculate j.
0, 1/3, 2
Let p(w) be the third derivative of 17*w**8/84 - 208*w**7/105 + 11*w**6/2 - 86*w**5/15 + 4*w**4/3 + 3*w**2 - 446*w. Solve p(i) = 0 for i.
0, 2/17, 1, 4
Let g be (64/(-27))/((-36)/10260). Let x = -674 + g. Find h such that 1/9*h**2 + 49/9 - x*h = 0.
7
Suppose 14*w = -24 + 1984. Let b = -100 + w. Factor -279*l - 305*l - 5*l**2 + 539*l - b.
-5*(l + 1)*(l + 8)
Let s(w) = 6*w**3 - 202*w**2 + 557*w. Let t(y) = 8*y**3 - 208*y**2 + 558*y. Let g(o) = 6*s(o) - 5*t(o). What is n in g(n) = 0?
-46, 0, 3
Let k(d) be the third derivative of 1/15*d**5 + 5/3*d**4 + 6 + 16/3*d**3 - 2*d**2 - 1/30*d**6 + 0*d. Factor k(z).
-4*(z - 4)*(z + 1)*(z + 2)
Let u = -16/221 - -2141/26520. Let t(r) be the third derivative of 0 + 0*r - 1/3*r**3 - 1/15*r**5 + 15*r**2 + u*r**6 + 5/24*r**4. Factor t(y).
(y - 2)*(y - 1)**2
Let a(w) be the third derivative of w**7/1470 + 19*w**6/315 + 361*w**5/210 + 13*w**3/6 - 12*w**2 + 2*w. Let l(p) be the first derivative of a(p). Factor l(d).
4*d*(d + 19)**2/7
Let x(m) be the second derivative of 5*m**4/12 + 85*m**3/6 + 40*m**2 - 65*m + 21. Find l, given that x(l) = 0.
-16, -1
Let x(r) be the first derivative of 70*r**6/9 + 71*r**5/3 - 75*r**4/4 - 10*r**3 - 458. Find k, given that x(k) = 0.
-3, -2/7, 0, 3/4
Factor 12/5*p + 0 + 2/15*p**3 + 38/15*p**2.
2*p*(p + 1)*(p + 18)/15
Let k(u) = -u**2 - 12*u + 327. Let q be k(13). Let y be ((-1)/q)/(51/(-102)). Suppose -7/9*b**2 - y - 1/9*b**3 - 5/3*b = 0. What is b?
-3, -1
Let y(j) be the first derivative of -2*j**5/5 + 111*j**4/2 - 220*j**3/3 + 3608. Let y(r) = 0. Calculate r.
0, 1, 110
Let b = -53 - -56. Find x, given that 11*x - 1885 + 2*x**5 - 35*x - 12*x**4 + 1901 + 22*x**b - 4*x**2 = 0.
-1, 1, 2
Let d(t) be the first derivative of -3*t**4/32 + 19*t**3/4 - 297*t**2/4 + 243*t + 60. Determine g so that d(g) = 0.
2, 18
Factor -1/8*p**4 + 0*p**2 + 0*p + 0 + 43/4*p**3.
-p**3*(p - 86)/8
Let r(y) = -14*y**2 - 1385*y + 4106. Let l(z) = -62*z**2 - 6230*z + 18478. Let p(i) = -5*l(i) + 22*r(i). Factor p(w).
2*(w - 3)*(w + 343)
Let g be ((-5448)/(-5902))/(((-56)/(-26))/(14/(-63)*-9)). Find v, given that 2/21*v**4 - g*v**2 + 0 + 0*v - 16/21*v**3 = 0.
-1, 0, 9
Let l be 3/9 - 5/(-3). Suppose -3*w + l*v = 10 - 48, 4*w - v = 44. What is r in 4*r**4 + w*r**5 - r**3 - 3*r**3 + 0*r**4 + 2*r**4 = 0?
-1, 0, 2/5
Let h(a) = 4*a**4 - 88*a**3 - 42*a**2 + 6*a + 6. Let d(q) = -4*q**4 + 89*q**3 + 43*q**2 - 5*q - 5. Let b(l) = -6*d(l) - 5*h(l). What is z in b(z) = 0?
-1/2, 0, 24
Let c(o) = 2*o**4 - 3*o**3 + o**2 + o - 2. Let z(l) = 56*l**4 - 256*l**3 - 508*l**2 + 1956*l - 488. Let k(a) = -20*c(a) + z(a). Solve k(q) = 0 for q.
-4, 1/4, 2, 14
Let w(p) = 2*p**2 + p - 18. Let j be w(-5). Let t = j + -25. Factor -17*u**2 - 22*u**2 + 41*u**t.
2*u**2
Factor -28*m**5 - 22*m**2 + 24*m + 0*m**2 - 47*m**4 - 35*m**4 - 22*m - 78*m**3.
-2*m*(m + 1)**3*(14*m - 1)
Let n(u) be the first derivative of 3*u**4/28 - 54*u**3/7 - 3*u**2/14 + 162*u/7 + 847. Find v such that n(v) = 0.
-1, 1, 54
Let r(h) be the third derivative of 0*h - 3*h**2 + 7/60*h**4 - 8/15*h**3 + 1/150*h**5 + 21. Let r(v) = 0. What is v?
-8, 1
Suppose 1568*g**2 + 3966/5*g**3 + 339/5*g**4 + 0 + 480*g + 8/5*g**5 = 0. What is g?
-20, -2, -3/8, 0
Let l(g) be the first derivative of -g**5/5 - 53*g**4/4 - 162*g**3 + 2970*g**2 - 5400*g - 3053. Suppose l(h) = 0. What is h?
-30, 1, 6
Let x be ((-192)/240)/(-2*2/190). Factor -47*i**2 - 13*i**2 + 28*i + x*i**4 + 36*i**3 - 25*i**4 - 17*i**4.
-4*i*(i - 7)*(i - 1)**2
Suppose -46*n + 5520 = 14*n. Let 2*j**2 - 22 - 6*j**2 - 14 - n*j + 153*j - 101*j = 0. What is j?
-9, -1
Suppose -6*z - 483 - 369 = 0. Let i = z - -144. Factor 0 - 6/5*l + 6/5*l**3 + 3/5*l**i - 3/5*l**4.
-3*l*(l - 2)*(l - 1)*(l + 1)/5
Let k(p) = -23*p - 34. Let n be k(-3). Factor 2*j**2 + 3 - 2*j**3 + 27*j - n*j + 10*j**3 - 5*j**4.
-(j - 1)**2*(j + 1)*(5*j - 3)
Determine s, given that 4/3*s**2 + 132 - 400/3*s = 0.
1, 99
Let b(r) = r**2 + 6*r + 7. Let c be b(-5). Factor 4*m + 6 - 16*m - 22 + 6*m**2 - 2*m**c.
4*(m - 4)*(m + 1)
Let u(n) be the third derivative of -n**7/1785 - n**6/60 - 77*n**5/510 - 55*n**4/204 + 50*n**3/17 + 63*n**2 + 8*n. Suppose u(o) = 0. Calculate o.
-10, -5, -3, 1
Let o(d) be the first derivative of 6*d**3 - 348*d**2 + 6728*d - 5526. Factor o(w).
2*(3*w - 58)**2
Let m(v) = v**3 + 749*v**2 + 2*v. Let n(l) = -13*l**3 - 8986*l**2 - 25*l. Let g(y) = -75*m(y) - 6*n(y). What is z in g(z) = 0?
0, 753
Let z(n) be the second derivative of n**4/3 + 138*n**3 - 416*n**2 - 130*n - 1. Factor z(q).
4*(q - 1)*(q + 208)
Suppose -4*h - 5 = -i - 0, 5*i - 48 = -3*h. Determine j, given that 207*j**2 - 2 + 25 - 2*j**3 - 189*j**2 - 48*j + i = 0.
1, 4
Let b(x) = x**3 + 5*x**2 - 13*x + 10. Let v be b(-7). Suppose -2*r - v*r = -30. Find h, given that 4*h**3 + 6*h + 3*h**2 + 13*h**2 + r*h = 0.
-3, -1, 0
Let i(z) be the second derivative of z**5/5 + 782*z**4/3 + 6232*z**3/3 + 6224*z**2 + 2358*z. Factor i(h).
4*(h + 2)**2*(h + 778)
Let z(n) be the second derivative of -3*n**5 + 0*n**2 - 24*n + 0 - n**3 - 13/4*n**4 - 9/10*n**6. Solve z(b) = 0.
-1, -2/9, 0
Suppose 5*m = a - 5*a + 60, -a + 5 = 0. Let g be m/48*-16*3/(-4). Factor -6/5*s**4 + 0 - 6/5*s**3 + 6/5*s**5 + 6/5*s**g + 0*s.
6*s**2*(s - 1)**2*(s + 1)/5
Let y(k) be the third derivative of k**7/1365 + 17*k**6/390 - 18*k**5/65 + 55*k**4/78 - 37*k**3/39 - 2732*k**2. Factor y(q).
2*(q - 1)**3*(q + 37)/13
Let p(b) be the first derivative of -2*b**3/15 + 174*b**2/5 + 70*b + 2297. Factor p(l).
-2*(l - 175)*(l + 1)/5
Let i be (107/321)/(2/8). Suppose -4*y - 85 = -105. Let -8/3*g**3 + 5*g**4 + 4*g - 4/3*g**y - 19/3*g**2 + i = 0. Calculate g.
-1, -1/4, 1, 2
Suppose 70 = 3220*g - 3195*g - 55. Let h(z) be the second derivative of -5/24*z**4 - 21*z + 0 - 7/12*z**3 - 3/4*z**2 - 1/40*z**g. Factor h(t).
-(t + 1)**2*(t + 3)/2
Let l(v) = 49*v**3 + 325*v**2 + 2612*v + 3898. Let o(x) = 9*x**3 + 65*x**2 + 522*x + 780. Let g(j) = 4*l(j) - 22*o(j). Factor g(b).
-2*(b + 2)*(b + 7)*(b + 56)
Let f(p) be the third derivative of 77*p**2 - 1/240*p**6 + 0*p - 1/60*p**5 + 0 + 0*p**3 - 1/48*p**4. Factor f(a).
-a*(a + 1)**2/2
Let h be 7 - (-6 + 13 + -3). Solve -4*z**2 - z - 24 + 18*z**2 + 4*z + 10*z**2 - 3*z**h = 0 for z.
-1, 1, 8
Supp