/14). Factor -4/3*t + 1/3*t**3 + 2/3*t**q - 8/3.
(t - 2)*(t + 2)**2/3
Factor -32448/7 + 4/7*h**3 + 5668/7*h - 296/7*h**2.
4*(h - 48)*(h - 13)**2/7
Let b(p) = 559*p**2 - 4472*p + 3. Let q be b(8). Determine t so that 2*t + 0 + 2/7*t**q + 16/7*t**2 = 0.
-7, -1, 0
Let z(y) = -13*y + 13. Let b be z(1). Let j(v) be the second derivative of -1/10*v**5 + 1/150*v**6 + 13/60*v**4 + 18/5*v**2 + 2*v**3 + b + 24*v. Factor j(p).
(p - 6)**2*(p + 1)**2/5
Let q be (-16)/12*(24/(-612)*34 + (-1)/6). Factor q - x**3 + 3/2*x**2 + 4*x - 1/2*x**4.
-(x - 2)*(x + 1)**2*(x + 2)/2
Let q(i) be the third derivative of -i**6/3600 - i**5/200 - i**4/30 - 43*i**3/6 + 14*i**2 + 2. Let p(t) be the first derivative of q(t). Factor p(b).
-(b + 2)*(b + 4)/10
Suppose 0 = 3*z - 3*j - 159, -52*z = -53*z + 5*j + 25. Factor -108*s - 243/5*s**2 - z.
-3*(9*s + 10)**2/5
Let r = -1 + -94. Let u = -283/3 - r. Factor u*h**3 - 2*h**2 + 0 + 4/3*h.
2*h*(h - 2)*(h - 1)/3
Let z(r) be the third derivative of r**7/210 + 17*r**6/120 - 19*r**5/20 + 59*r**4/24 - 10*r**3/3 + 12*r**2 + 11. Let z(j) = 0. What is j?
-20, 1
Suppose 0*x + 0 - 2/3*x**3 - 2/3*x**2 = 0. Calculate x.
-1, 0
Let n be -3*(-10 + -2 + 11) - 30/(-7). What is f in -n*f + 6/7 - 48/7*f**3 + 120/7*f**2 = 0?
1/4, 2
Let b(n) be the first derivative of 9*n**3 - 12369*n**2 + 5496*n + 690. Solve b(p) = 0.
2/9, 916
Let h(c) be the first derivative of 55*c + 65/3*c**3 - 189 - 115/2*c**2 - 5/4*c**4. Factor h(w).
-5*(w - 11)*(w - 1)**2
Let u = 542 - 313. Determine s, given that -190*s + 3 + 19*s**2 + u*s + 0 + 17*s**2 = 0.
-1, -1/12
Let y(a) = 64*a**3 - 317*a**2 - 18343*a + 252686. Let m(d) = -11*d**3 + 53*d**2 + 3057*d - 42114. Let w(b) = 17*m(b) + 3*y(b). Factor w(o).
5*(o - 18)**2*(o + 26)
Let h be (-1320)/(-96) + (-2)/(-8) - 12. Factor -34/5*p**h + 126/5*p + 2/5*p**3 + 162/5.
2*(p - 9)**2*(p + 1)/5
Factor 0 + 40/7*b - 4/7*b**2.
-4*b*(b - 10)/7
Let u(i) be the third derivative of i**7/385 - 8*i**6/165 + 41*i**5/165 - 8*i**4/33 - 7*i**3/11 + 2*i**2 - 721*i. Solve u(h) = 0.
-1/3, 1, 3, 7
Let p(z) be the third derivative of z**6/420 + 15*z**5/14 + 4329*z**4/28 + 12321*z**3/7 - 615*z**2 - 1. What is m in p(m) = 0?
-111, -3
Let s(k) = 5*k**3 + 218*k**2 - 12992*k - 26888. Let o(p) = p**3 - 2*p**2 + 4. Let u(z) = 6*o(z) - s(z). Factor u(q).
(q - 116)**2*(q + 2)
Let z(r) be the third derivative of 0*r**4 + 0*r**5 + 1/560*r**8 - 1/100*r**6 - 3 + 0*r**3 + 1/350*r**7 + 0*r + 2*r**2. Factor z(j).
3*j**3*(j - 1)*(j + 2)/5
Solve -3/4*l**4 + 56*l - 15 - 11*l**3 - 117/4*l**2 = 0 for l.
-10, -6, 1/3, 1
Suppose -4*l - n + 19 = 0, -4*n + 92 = 64. Let c(a) be the third derivative of 8/27*a**l + 1/45*a**5 + 5/36*a**4 + 0*a + 0 - 1/540*a**6 - 29*a**2. Factor c(p).
-2*(p - 8)*(p + 1)**2/9
Let p(y) be the first derivative of -4/3*y**3 + 1/2*y**2 + 53 + 0*y. Factor p(a).
-a*(4*a - 1)
Find u such that -4*u**5 - 515*u**3 - 9356*u**2 - 128*u**4 - 3366*u - 2510*u - 933*u**3 + 2908*u**2 + 14256 - 352*u = 0.
-11, -9, -4, 1
Let l = 45 - 134/3. Suppose 6224*c = -2787*c - 1702*c + 21426. Factor -5/3 - l*a**c - 2*a.
-(a + 1)*(a + 5)/3
Let s(g) = 8*g**2 + 7548*g + 4560862. Let w(v) = 15*v**2 + 15066*v + 9121725. Let t(c) = -9*s(c) + 5*w(c). Factor t(o).
3*(o + 1233)**2
Let d = 6545 + -6540. Let l(s) be the second derivative of 0 - 5/3*s**3 - 1/70*s**d + 11/42*s**4 + 15*s + 25/7*s**2. Factor l(j).
-2*(j - 5)**2*(j - 1)/7
Let p(j) be the third derivative of 0 + 7/24*j**4 + 0*j**3 + 71*j**2 + 0*j + 1/60*j**5. Factor p(f).
f*(f + 7)
Let j(i) be the second derivative of -i**7/42 - i**6/3 - 17*i**5/20 + 7*i**4/3 + 418*i + 2. Factor j(m).
-m**2*(m - 1)*(m + 4)*(m + 7)
Let f(a) be the second derivative of -a**7/5040 + 31*a**6/2880 - a**5/32 + a**4/6 + 11*a**3/6 + 58*a - 2. Let c(r) be the third derivative of f(r). Factor c(o).
-(o - 15)*(2*o - 1)/4
Suppose 37*m + 24841 = 24952. Factor 1/10*o**5 + 202*o**m - 7840*o - 43904/5 - 1288*o**2 - 8*o**4.
(o - 28)**3*(o + 2)**2/10
Let b be (44570/20 - -16)/((-11)/(-55)). Factor 1/4*a**5 + b*a**3 + 1350125107/4 + 100755605/4*a + 335/4*a**4 + 1503815/2*a**2.
(a + 67)**5/4
Let h(p) be the first derivative of -50*p**2 - 65/4*p**4 - 155/3*p**3 - 20*p + 7*p**5 + 25/6*p**6 - 10. Determine l so that h(l) = 0.
-1, -2/5, 2
Let l be 4044/674 + 58/(-20)*2. Solve 2*j**3 + 12/5*j**2 - l*j**4 - 11/5 - 2*j = 0.
-1, 1, 11
Let p(y) = 28*y**3 + 118*y**2 + 1008*y - 6. Let q(r) = -52*r**3 - 241*r**2 - 2016*r + 11. Let d(v) = -11*p(v) - 6*q(v). Factor d(m).
4*m*(m + 9)*(m + 28)
Find h, given that 4*h + 2*h**3 + 0 - 2/3*h**5 - 2*h**4 + 22/3*h**2 = 0.
-3, -1, 0, 2
Suppose 6*k + 908 = 1046. Let a(f) be the second derivative of -k*f + 49/9*f**2 + 1/90*f**5 + 35/27*f**3 - 13/54*f**4 + 0. Factor a(g).
2*(g - 7)**2*(g + 1)/9
Determine a, given that 2/11*a**4 - 24/11*a**2 + 20/11*a**3 - 20/11*a + 2 = 0.
-11, -1, 1
Let v(g) = -11*g**3 - 4064*g**2 + 747*g - 5. Let i(s) = 3*s**2 + s - 1. Let r(k) = -5*i(k) + v(k). Factor r(f).
-f*(f + 371)*(11*f - 2)
Let p = -244 + 246. Factor -u**2 + 7330*u - 7390*u - 100 - 4*u**p.
-5*(u + 2)*(u + 10)
Solve -2/11*x**2 + 76/11 + 34/11*x = 0.
-2, 19
Let d = -59 + 63. Suppose -5*q - d*q + 18 = 0. Solve -17*l**2 + 8*l**2 - 2 + 6*l**q + 5*l**2 = 0 for l.
-1, 1
Let b(f) = -22*f**3 + 230*f**2 + 1120*f + 308. Let s(g) = -64*g**3 + 684*g**2 + 3361*g + 923. Let m(i) = 11*b(i) - 4*s(i). Determine o so that m(o) = 0.
-4, -2/7, 19
Let y(r) be the second derivative of r**4/4 + 124*r**3 + 23064*r**2 + 8*r + 4. Factor y(b).
3*(b + 124)**2
Let y(c) be the second derivative of -c**7/21 + 23*c**6/15 + 2*c**5/5 - 46*c**4/3 + 739*c - 1. Determine f so that y(f) = 0.
-2, 0, 2, 23
Suppose 3*n - 408 - 111 = 0. Let b be 6 + 6/(-3) + 1. What is l in 172*l**5 + 11*l + 0*l**4 - n*l**b - 3 + l**4 + 6*l**3 - 14*l**2 = 0?
-3, 1
Let q(t) be the second derivative of 21*t**4/16 + 209*t**3/8 - 15*t**2/4 + 10*t - 4. Solve q(y) = 0 for y.
-10, 1/21
Let v = 408842 - 408840. Factor 168/5*i - 114/5*i**v + 6/5*i**4 - 72/5 + 12/5*i**3.
6*(i - 2)*(i - 1)**2*(i + 6)/5
Let l be 200/(-250) - 16/(11040/(-2507)). Solve 17/6*n**3 - l*n + 2/3*n**4 + 0*n**2 - 2/3 = 0 for n.
-4, -1, -1/4, 1
Let c = 64015/76824 + 5/76824. Factor 0*o - 1/6*o**3 + 1/6*o**5 + 5/6*o**4 + 0 - c*o**2.
o**2*(o - 1)*(o + 1)*(o + 5)/6
Let f(v) = 24*v + 50. Let s be f(-2). What is o in 32*o + 35*o**4 - 14*o**4 - 24 + 10*o**s - 2*o**5 - 30*o**3 - 7*o**4 = 0?
-1, 1, 2, 3
Let v = 135 + -132. Solve 20*k**2 - 12*k**4 + 4*k - 11 + 3 + 16*k**3 - 20*k**v = 0.
-1, 2/3, 1
Let f(b) be the first derivative of 3*b**4/20 + 526*b**3/5 + 104538*b**2/5 + 411864*b/5 + 733. Solve f(p) = 0.
-262, -2
Let k = 108 - 104. Determine o so that 0 + k*o**2 + 2 + 3*o + 4*o**2 - 7*o**2 = 0.
-2, -1
Let n(g) be the second derivative of 1352*g**2 - 2*g + 39 - 104/3*g**3 + 1/3*g**4. Suppose n(c) = 0. Calculate c.
26
Let j(y) = -y**3 + 9*y**2 - 10*y - 28. Let o be j(6). Factor 25*l + 61 + 2*l**2 - 31*l + 8*l - 1 + o*l.
2*(l + 5)*(l + 6)
Suppose 2*q - 6*p - 83 = -101, 3*p - 18 = -2*q. Let y(c) = 2*c**2 + 2*c - 2. Let z be y(-2). Factor -331*n**z + 334*n**2 + q*n + 9*n.
3*n*(n + 4)
Let x(n) be the second derivative of -n**6/30 + 31*n**5/20 - 113*n**4/12 + 137*n**3/6 - 27*n**2 - 4507*n. Factor x(c).
-(c - 27)*(c - 2)*(c - 1)**2
Let q = -4086/17 + 600659/2499. Let c(i) be the second derivative of 8/21*i**4 + q*i**7 - 11*i + 2/7*i**2 + 2/35*i**6 + 1/5*i**5 + 3/7*i**3 + 0. Factor c(n).
2*(n + 1)**4*(n + 2)/7
Solve 1668*p + 738*p**2 - 2208*p**2 + 737*p**2 + 944 - 244*p + 745*p**2 = 0 for p.
-118, -2/3
Suppose -2/5*v**2 - 1013888/5 - 2848/5*v = 0. Calculate v.
-712
Let w(k) be the second derivative of k**5/10 + k**4/6 - 76*k**3/3 + 140*k**2 - 5*k - 70. Factor w(j).
2*(j - 7)*(j - 2)*(j + 10)
Let p(a) be the first derivative of 9*a**4/2 - 23*a**3 + 697*a**2/16 - 289*a/8 + 3198. Find u, given that p(u) = 0.
1, 17/12
Let a(j) be the first derivative of j**4/36 + 94*j**3/27 + 2825*j**2/18 + 27500*j/9 - 14008. Determine k, given that a(k) = 0.
-44, -25
Let k = -1/6768 - -151/67680. Let l(m) be the third derivative of -k*m**6 + 1/24*m**4 + 37*m**2 - 1/120*m**5 + 0*m + 0 + 1/3*m**3. Factor l(s).
-(s - 2)*(s + 2)**2/4
Let u(k) be the first derivative of -2*k**3/21 + 13*k**2/7 - 24*k/7 + 538. Suppose u(o) = 0. What is o?
1, 12
Let s be -6*4/26424*6. Let k = 3307/734 +