3. Factor h(c).
-2*(c - 46)**2*(c - 1)
Suppose -22*r = -6*r. Let b be r - -7 - 8 - 11/(-7). Solve -b*s + 0 + 2/7*s**3 - 2/7*s**2 = 0.
-1, 0, 2
Let q(f) = f**2 + f. Let a = 19 + -14. Let k(d) = 5*d**2 - d**2 + 7 - 5 + 6*d. Let x(j) = a*k(j) - 15*q(j). Determine m so that x(m) = 0.
-2, -1
Let o = 16711 - 33421/2. Let h(a) be the second derivative of -5*a**2 + 0 + 9*a + 1/12*a**4 + o*a**3. Factor h(l).
(l - 2)*(l + 5)
Let r be 4/((-8)/(-6)) + -27 + 1272. Let m = r + -1245. What is h in -21/4*h**5 - 9/2*h**m - 69/4*h**4 + 0*h + 0 + 0*h**2 = 0?
-3, -2/7, 0
Let x(v) be the first derivative of -v**9/13608 + v**8/3780 - v**6/810 + v**5/540 - v**3/3 - 2*v + 24. Let f(t) be the third derivative of x(t). Factor f(k).
-2*k*(k - 1)**3*(k + 1)/9
Let m(d) be the second derivative of d**5/5 + 6*d**4 - 518*d**3/3 + 1176*d**2 - 10446*d. Factor m(l).
4*(l - 7)*(l - 3)*(l + 28)
Let q = 1567/3164 - -15/3164. Let o(a) = -a**3 - 16*a**2 + a + 19. Let w be o(-16). Determine l so that -1/2*l**2 + 0 + q*l**4 + 1/2*l - 1/2*l**w = 0.
-1, 0, 1
Let v = 1042/31773 - -4/623. Let i(c) be the first derivative of -v*c**3 + 10/17*c - 2 + 4/17*c**2. Find z, given that i(z) = 0.
-1, 5
Factor 9/2*p**3 + 230*p - 11/4*p**4 + 168 + 93*p**2.
-(p + 2)**3*(11*p - 84)/4
Let z be ((2/(-14))/(29 - 28))/(77/21 - 4). Solve 72/7 - 15/7*x - z*x**2 = 0 for x.
-8, 3
Suppose 0 = 30*r - 41*r - 33. Let u be 3 + (0/r)/(3/(-1)). Factor -2/7*p**5 + 0 + 0*p**4 + 0*p**2 + 0*p + 2/7*p**u.
-2*p**3*(p - 1)*(p + 1)/7
Let u(y) = y**3 + y**2 - 4*y - 2. Let l be u(-2). Factor -8*o**2 - 10 + 12*o**2 + 4*o + 4*o - l.
4*(o - 1)*(o + 3)
Let s be 51724/(-88) - (2/(-4) + 0). Let a = -586 - s. Factor -a*l**3 - 2/11*l**4 + 0 - 30/11*l**2 - 18/11*l.
-2*l*(l + 1)*(l + 3)**2/11
Let k(m) = m**2 + 5*m + 30. Let r be k(-4). Suppose 6*c + 2 = r. Find f, given that 0*f - 2/11*f**c - 6/11*f**2 - 10/11*f**3 + 0 + 2/11*f**5 = 0.
-1, 0, 3
Let i(m) be the first derivative of -76/21*m**3 + 61/7*m**2 - 36/7*m - 5/14*m**4 + 129. Factor i(t).
-2*(t - 1)*(t + 9)*(5*t - 2)/7
Let d(s) be the first derivative of 40*s**2 + 4/3*s**3 - 165 - 176*s. Factor d(a).
4*(a - 2)*(a + 22)
Suppose -10*s = -100 + 60. Suppose s*l - 30 = -4*f - 10, -3*l - 15 = -3*f. Let 1/3*o**3 - 1/6*o**2 + 0*o + l = 0. What is o?
0, 1/2
Suppose -56*y - 75 = 261. Let n be 10*(-1)/y*3. Find c, given that -2/3*c + 1/3*c**3 + c**4 + 1/3*c**n + 0 - c**2 = 0.
-2, -1, 0, 1
Determine g, given that -505*g**5 - 21*g**4 + 3*g**4 + 501*g**5 + 1317 - 160*g**2 - 1524*g + 51 - 38*g**4 + 376*g**3 = 0.
-19, -2, 1, 3
Let y be (100/(-125))/((-28)/8*(-12)/(-35)). Let y*m**3 - 74/15*m**2 + 128/15*m - 8/3 = 0. What is m?
2/5, 2, 5
Let h(x) = -46*x**3 - 580*x**2 - 890*x - 276. Let i(f) = -8*f**3 - 116*f**2 - 178*f - 55. Let t(c) = -3*h(c) + 16*i(c). Factor t(j).
2*(j - 13)*(j + 1)*(5*j + 2)
Let t be ((-3)/(-4))/((-11)/44) + (-116)/(-36). Factor 4/3*w**4 + 0 + 26/9*w**3 + 8/9*w + t*w**5 + 8/3*w**2.
2*w*(w + 1)**2*(w + 2)**2/9
Let b(t) be the first derivative of 5/3*t**3 - 252 - 5/2*t**2 - 100*t. Factor b(u).
5*(u - 5)*(u + 4)
Suppose 350 = 123*n - 89*n + 141*n. Solve -260642/3 - 1444*v**n + 152/3*v**3 + 54872/3*v - 2/3*v**4 = 0 for v.
19
Let x(s) = -363*s**3 + s**2 - 1. Let b be x(1). Let o = b + 1090/3. Let -1/3*t**4 + 0*t + 0*t**2 + 0 - o*t**3 = 0. What is t?
-1, 0
Let h = -357569 + 1072709/3. Let h*q**3 - 1/3*q**4 - 4/3 + q**2 - 4/3*q = 0. What is q?
-1, 2
Let u(j) = j**2 + 46*j - 44. Let z be u(-47). Let i be -2 + 13/z + 24/(-72). Factor 4/3 - 2/3*n - 2/3*n**i.
-2*(n - 1)*(n + 2)/3
Let r(i) be the first derivative of -i**4/20 + 909*i**3/5 - 2478843*i**2/10 + 751089429*i/5 + 643. Factor r(h).
-(h - 909)**3/5
Let v = 4355192/3387377 - -1/483911. Factor 0 - v*w**3 + 0*w**2 + 12/7*w + 3/7*w**4.
3*w*(w - 2)**2*(w + 1)/7
Let m(x) be the third derivative of 0*x**4 + 0*x**6 + 26*x**2 - 3 + 135/8*x**3 + 0*x - 3/8*x**5 + 1/168*x**7. Factor m(t).
5*(t - 3)**2*(t + 3)**2/4
Let p(n) be the third derivative of 0*n**3 - 35*n**2 + 0*n**4 + 2/525*n**7 - 2/75*n**5 + 0*n - 1/150*n**6 + 0. Let p(v) = 0. What is v?
-1, 0, 2
Suppose -3/5*h**2 + 2163/5 + 432*h = 0. What is h?
-1, 721
Let p(g) be the first derivative of 2*g**3/27 + 29*g**2 + 520*g/9 + 1347. Factor p(i).
2*(i + 1)*(i + 260)/9
Let a(u) be the first derivative of u**4/18 + 560*u**3/27 + 1108*u**2/9 + 736*u/3 + 603. Factor a(x).
2*(x + 2)**2*(x + 276)/9
Solve -80/21 - 22/21*i**3 - 2/21*i**4 - 10/7*i**2 + 134/21*i = 0.
-8, -5, 1
Suppose -5*p - 8 = -9*p. Suppose 24 = p*c - 5*l, 0*l + l = -2*c. Factor 10*x + 0*x - 20*x**3 + 15*x**4 + x**2 - 6*x**c.
5*x*(x - 1)**2*(3*x + 2)
Let w(x) be the second derivative of 1/6*x**5 + 5 - 8/9*x**3 - 1/45*x**6 - 1/63*x**7 + 1/18*x**4 + 4/3*x**2 - 12*x. Factor w(y).
-2*(y - 1)**3*(y + 2)**2/3
Suppose 99 + 15 = 60*y - 118 + 52. Solve 0 - 3/8*c**y + 9/4*c**2 + 21/8*c = 0 for c.
-1, 0, 7
Let w(h) be the second derivative of 1/48*h**4 + 729/2*h**2 - 9/2*h**3 + 22*h + 1. Factor w(t).
(t - 54)**2/4
Let y be ((125/40)/5)/(((-15)/28)/((-99)/22)). Determine a so that 0 + y*a + 3/4*a**2 = 0.
-7, 0
Let o(l) be the first derivative of l**6 - 32*l**5/15 - 20*l**4/3 + 128*l**3/9 + 16*l**2/3 - 3002. What is p in o(p) = 0?
-2, -2/9, 0, 2
Factor -1/4*i**2 + 761/2*i - 579121/4.
-(i - 761)**2/4
Let x(f) = -f**3 + 12*f**2 + 13*f + 4. Let m be x(13). Let p(a) = 3*a - 4. Let h be p(m). Factor 1 + 123*v**2 + 3 + h*v - 119*v**2.
4*(v + 1)**2
Let u(j) = 15*j**3 - j**2 - 30*j + 7. Suppose 0 = -10*s + 2*s - 56. Let n(x) = 8*x**3 - 16*x + 4. Let z(b) = s*n(b) + 4*u(b). Find m, given that z(m) = 0.
-1, 0, 2
Let v be (-68757)/30 + (-19)/(-190). Let g = -2287 - v. Factor -g*f - 3/5*f**2 + 27/5.
-3*(f - 1)*(f + 9)/5
Let p(i) be the third derivative of i**6/720 - i**5/120 - i**4/6 + 55*i**3/6 - 26*i**2. Let x(w) be the first derivative of p(w). Solve x(o) = 0.
-2, 4
Suppose 11*s = 5*s + 9*s. Let w be (s/(-1))/((-21 + 3)/(-9)). Factor 4/3*h - 4/3*h**2 + w - 1/3*h**3 + 1/3*h**4.
h*(h - 2)*(h - 1)*(h + 2)/3
Suppose -226 - 244 = -10*f. Let n = f - 139/3. Factor n*m**2 + 4/3 - 22/9*m.
2*(m - 3)*(3*m - 2)/9
Let p = -15950/3 - -5318. Find c such that p*c + 2 + 1/6*c**2 = 0.
-6, -2
Let h(j) be the second derivative of -j**7/1260 - j**6/60 - j**5/12 + 16*j**4/3 + 77*j + 2. Let y(p) be the third derivative of h(p). Factor y(s).
-2*(s + 1)*(s + 5)
Factor -86*g + 2/5*g**2 + 1272/5.
2*(g - 212)*(g - 3)/5
Let q be -423*(-5 + 26/3). Let w = q - -6205/4. Factor -1/2 + 3/4*k**3 + w*k**4 - 3/4*k + 1/4*k**2.
(k - 1)*(k + 1)**2*(k + 2)/4
Solve 6 - 3/4*y**2 + 21/4*y = 0 for y.
-1, 8
Factor -49*g**2 - g**3 - 8*g**2 - 1034*g + 12*g**2 - 15*g**2 + 3*g**3 + 1092.
2*(g - 42)*(g - 1)*(g + 13)
Let n(y) be the second derivative of 2*y**6/15 + 76*y**5/5 + 74*y**4 + 440*y**3/3 + 146*y**2 + 1942*y. Factor n(h).
4*(h + 1)**3*(h + 73)
Let s(b) = -4957*b + 307337. Let d be s(62). Factor 2/9*j**4 - 2/9*j**2 + 2/3*j**d + 0 - 2/3*j.
2*j*(j - 1)*(j + 1)*(j + 3)/9
Let t(g) be the first derivative of g**4/14 - 31*g**3/21 - 22*g**2/7 - 43*g - 15. Let k(p) be the first derivative of t(p). Factor k(r).
2*(r - 11)*(3*r + 2)/7
Let f = 246 - 244. Solve -5*d**f - 4415 - 84*d - 1030 + 280*d + 134*d = 0.
33
Let g(w) = 3*w**3 - 3*w**2 - 12*w + 8. Let k be g(4). Let a be (-35)/28*k/(-20) + 4. Let 3/2*i**5 - 3*i**2 + 9*i**3 - a*i - 9/2 + 15/2*i**4 = 0. Calculate i.
-3, -1, 1
Let a = 54 - -295. Let y = a - 346. Factor 10/3*x + 5/3*x**4 - 10/3*x**y + 0*x**2 - 5/3.
5*(x - 1)**3*(x + 1)/3
Let q = -2133878/5 + 426782. Suppose -248/5*g + 284/5*g**2 - 146/5*g**3 + q*g**4 + 16 - 2/5*g**5 = 0. Calculate g.
1, 2, 10
Let f(b) be the third derivative of -b**8/1848 - b**7/105 + 7*b**6/44 + 31*b**5/330 - 82*b**4/33 + 68*b**3/11 - 155*b**2 + 12*b. Solve f(h) = 0.
-17, -2, 1, 6
Let a = 212 - 56. Factor -76*x**2 - 85*x**2 + 24 + 21 + a*x**2.
-5*(x - 3)*(x + 3)
Let y(h) be the first derivative of -3/5*h**2 + 17 + 9/5*h - 1/5*h**3. Factor y(u).
-3*(u - 1)*(u + 3)/5
Let g(h) = -11*h - 11. Let c be g(-1). Let j be c/((2 - 3)*(15 - 13)). Find q, given that 2/5*q**5 - 2/5*q**4 + 4/5*q + 2/5*q**2 - 6/5*q**3 + j = 0.
-1, 0, 1, 2
Solve 2560*k + 1116/7*k**3 - 128/7 - 8936/7*k**2 = 0 for k.
2/279, 4
Let t(d) be the second derivative of 0 - 3/2*d**2 - 2/3*d**3 - 16*d - 1/12*d**4. Find r such that t(r) = 0.
-3, -1
Let x(g) be th