84. Let k(h) = -13*g(h) - 3*o(h). Factor k(q).
(q - 2)*(q + 2)*(q + 71)
Let m(j) be the first derivative of j**6/42 + 36*j**5/35 - 155*j**4/28 + 66*j**3/7 - 40*j**2/7 + 1036. Find a, given that m(a) = 0.
-40, 0, 1, 2
What is f in 2/9*f**2 + 0 - 244/9*f = 0?
0, 122
Let a = 738 - 693. Let w be 1*10/14*18/a. Factor 2/7*j - w*j**2 + 4/7.
-2*(j - 2)*(j + 1)/7
Let m be 5245/13637 + (-3)/(-26). What is u in -u - 1/2*u**2 - m = 0?
-1
Let m(r) be the third derivative of 34*r**2 + 17/30*r**5 + 1/60*r**6 + 0*r - 1/35*r**7 + 19/12*r**4 + 0 + 2*r**3. Suppose m(y) = 0. Calculate y.
-1, -2/3, 3
Suppose -9*m = -13*m + 4800. Factor -m*c**2 + 2*c - 8 + 1204*c**2 - 17*c - 16*c.
(c - 8)*(4*c + 1)
Factor -32*p**2 - 4*p - 42*p**3 - 9*p**4 - 3 - 18*p - 20*p**2.
-(p + 1)*(p + 3)*(3*p + 1)**2
Let r(l) be the first derivative of -l**5/25 - l**4/20 + 4*l**3/15 + 2*l**2/5 + 1611. Factor r(x).
-x*(x - 2)*(x + 1)*(x + 2)/5
Suppose -3282*n**3 + 1624*n**3 + 278*n**2 - 51840 - 8928*n + 1656*n**3 = 0. What is n?
-5, 72
Let w(t) be the second derivative of -t**5/50 - 157*t**4/30 - 933*t. Let w(k) = 0. Calculate k.
-157, 0
Let q(b) be the first derivative of -b**5/60 + 17*b**4/36 + 4*b**3/3 + 43*b**2/2 - 1. Let l(z) be the second derivative of q(z). Factor l(k).
-(k - 12)*(3*k + 2)/3
Let k be (-80)/528 + -1 + 144/27 + -4. Suppose 16/11*v - 26/11*v**2 - k + 12/11*v**3 = 0. Calculate v.
1/6, 1
Factor 95048/3 - 2/3*n**3 - 290*n**2 - 31392*n.
-2*(n - 1)*(n + 218)**2/3
Let a(n) = -n**3 + 64*n**2 + 342*n + 209. Let f be a(69). Let -16/3*g**3 + 4/3*g**4 + 0 + 0*g - 16/3*g**f + 4/3*g**5 = 0. Calculate g.
-2, -1, 0, 2
Let u(d) be the third derivative of 7/2*d**4 - 38*d**2 - 1/30*d**6 + 4/3*d**5 + 0*d**3 - 1 + 0*d. Factor u(a).
-4*a*(a - 21)*(a + 1)
Let k(d) be the third derivative of -588/11*d**3 + 0 + 7/11*d**4 + 10*d**2 - 1/330*d**5 + 0*d. Solve k(t) = 0.
42
Suppose -l = -u + 18, 5*l + 3 = -2*u + 11. Let z be 4/(-3)*((-203)/u + 13). Factor 0*k**z - 2/7*k**3 + 8/21*k - 2/21*k**4 + 0.
-2*k*(k - 1)*(k + 2)**2/21
Let t be 559/(-13) + 3/1. Let c = t - -60. Factor c - k**2 + 0*k**2 - 21 - 2*k.
-(k + 1)**2
Let r(w) be the first derivative of 5/24*w**4 + 23/2*w**2 - 1/8*w**6 + 0*w**3 + 0*w - 1/6*w**5 + 3. Let s(o) be the second derivative of r(o). Solve s(y) = 0.
-1, 0, 1/3
Factor -1/4*x**2 - 201/2*x - 40401/4.
-(x + 201)**2/4
Let o(p) be the first derivative of -p**4/30 - 7*p**3/15 - 6*p**2/5 - 100*p + 156. Let q(b) be the first derivative of o(b). Factor q(a).
-2*(a + 1)*(a + 6)/5
Let n be (-779)/123*2*18. Let l = n + 230. Factor 140/13*k**4 + 0 + 56/13*k**l + 138/13*k**3 + 50/13*k**5 + 8/13*k.
2*k*(k + 1)**2*(5*k + 2)**2/13
Let o(l) be the first derivative of l**3/7 - 705*l**2/14 + 6832. Factor o(a).
3*a*(a - 235)/7
Let y(z) be the first derivative of 16/3*z**3 + 0*z + 0*z**2 + 2/3*z**6 - 12/5*z**5 + 27 + 0*z**4. Factor y(x).
4*x**2*(x - 2)**2*(x + 1)
Suppose -4*z + 4*n = n - 20, 0 = 2*z + 5*n - 10. Let r be (4 + 112/(-25))*z - -6. Factor 6/5*i**3 + 0*i - r*i**2 + 24/5.
6*(i - 2)**2*(i + 1)/5
Let f(q) = q**2 + 5*q - 5. Let i be f(-6). Suppose r = 5*p + 17 + i, -3*r + 2*p = -15. Let 0*c**3 - 3*c**3 + 0*c**5 + 5*c**5 - 2*c**r = 0. What is c?
-1, 0, 1
Factor -2*l**4 + 3*l**5 - 331*l**3 - l**4 + 3*l**2 + 6 + 322*l**3 + 6*l - 6.
3*l*(l - 2)*(l - 1)*(l + 1)**2
Let s(y) be the first derivative of -y**6/3 + 12*y**5/5 - 11*y**4/2 + 4*y**3 + 200. Suppose s(h) = 0. What is h?
0, 1, 2, 3
Let x(s) be the third derivative of -s**7/3780 + s**6/36 - 5*s**5/4 + s**4/24 - s**3/3 + 55*s**2. Let v(u) be the second derivative of x(u). Factor v(p).
-2*(p - 15)**2/3
Let t(k) be the second derivative of -k**4/8 - 6*k**3 - 33*k**2 + 870*k - 2. Determine j, given that t(j) = 0.
-22, -2
Suppose 1418*i = -1546*i + 5928. Factor 4/5*v**3 - 24/5*v - 4/5*v**i + 0.
4*v*(v - 3)*(v + 2)/5
Factor 1/6*g**2 + 25/6 - 5/3*g.
(g - 5)**2/6
Let q(i) be the second derivative of 17/4*i**3 - 3/40*i**5 + 27/4*i**2 + 2*i + 7/8*i**4 - 20. What is v in q(v) = 0?
-1, 9
Let m(x) be the second derivative of x**7/105 - x**6/10 + 4*x**5/15 + x**4/2 - 3*x**3 + 2*x**2 - 5*x - 4. Let p(z) be the first derivative of m(z). Factor p(i).
2*(i - 3)**2*(i - 1)*(i + 1)
Let v(a) = 148*a**2 + 10580*a - 10659. Let c(b) = 13*b**2 + 962*b - 969. Let n(s) = -23*c(s) + 2*v(s). Factor n(j).
-3*(j - 1)*(j + 323)
Let a(y) be the first derivative of 4*y**5/5 + 4*y**4 - 32*y**2 - 64*y + 437. Solve a(p) = 0 for p.
-2, 2
Let m(d) = 2*d**2 + 4*d - 73. Let u be m(-7). Let s be u/(-9) - (-21)/(7/1). Factor -4/9 - s*j - 26/9*j**2.
-2*(j + 1)*(13*j + 2)/9
Let m(f) be the second derivative of 2*f - 17/48*f**4 + 5 - 31/24*f**3 - 1/80*f**5 - 15/8*f**2. Suppose m(w) = 0. Calculate w.
-15, -1
Let j(x) = -39*x**2 + 312*x - 468. Suppose -15*t + 13*t - 60 = 2*q, -2*t = 3*q + 87. Let m(i) = 3*i**2 - 24*i + 36. Let k(o) = q*m(o) - 2*j(o). Factor k(p).
-3*(p - 6)*(p - 2)
Let j = -222 - -224. Factor 13*b**j - b**2 + 634 - 29 + 110*b - 7*b**2.
5*(b + 11)**2
Find g, given that 28899/2*g + 29241/2 - 341/2*g**2 + 1/2*g**3 = 0.
-1, 171
Let z(l) be the second derivative of -14*l + 112/3*l**3 + 392/3*l**2 + 1/15*l**5 - 3*l**4 - 6. What is m in z(m) = 0?
-1, 14
Let j be (-28)/32*((-120)/(-21) - 10). Suppose 2 = g - 5*c, 5*g - 7*g + 3*c = -4. Factor -75/8 - 3/8*r**g + j*r.
-3*(r - 5)**2/8
Let b(k) = 2*k**2 - 131*k - 639. Let i(t) = 5*t**2 - 268*t - 1277. Let c(z) = -7*b(z) + 3*i(z). Factor c(d).
(d + 6)*(d + 107)
Let k be 3 - (-16 + 16/2). Solve 0*w**3 - w**2 - k*w**2 + 3*w + 18 + 0*w**3 - 3*w**3 + 6*w**3 = 0 for w.
-1, 2, 3
Let y be ((-260)/6)/((-63)/(-567)*-36). Factor 35/3 - y*h - 5/6*h**2.
-5*(h - 1)*(h + 14)/6
Let b(k) be the first derivative of 136 + 8*k**3 + 2/3*k**6 + 0*k**2 - 16/5*k**5 + 0*k + k**4. Factor b(o).
4*o**2*(o - 3)*(o - 2)*(o + 1)
Let g(v) be the third derivative of -3*v**6/20 - 82*v**5/15 - 63*v**4/4 - 34*v**3/3 - 34*v**2 + 5*v. Solve g(d) = 0.
-17, -1, -2/9
Let i(l) be the second derivative of -2/9*l**2 + 178*l - 2/45*l**6 + 1/189*l**7 + 1/3*l**3 - 8/27*l**4 + 7/45*l**5 + 0. Factor i(t).
2*(t - 2)*(t - 1)**4/9
Let d(i) be the third derivative of 0*i**3 + 49*i + 2/5*i**5 + 4/5*i**4 - 1/175*i**7 + 3/50*i**6 + 3*i**2 - 1/560*i**8 + 0. Solve d(t) = 0 for t.
-2, 0, 4
Suppose -3*t = -5*t + 4*n - 44, 0 = 3*t - 2*n + 70. Let d be t/(-14)*35/10. Factor 7*k**2 - 26*k**2 - 9 + 7 + 15*k + d*k**3.
(k - 2)*(k - 1)*(6*k - 1)
Let w be (0/(-2))/(-9 - -10). Factor w*t**2 - 16 - 39*t - 4*t**2 + 55*t.
-4*(t - 2)**2
Let t(w) be the third derivative of 0*w**3 - 1/24*w**6 + 3*w + 0 - 5/2*w**4 - 11*w**2 + 2/3*w**5. Factor t(v).
-5*v*(v - 6)*(v - 2)
Let u = -396156 + 1980782/5. Factor 12/5*c**2 - u*c**3 - 22/5*c + 12/5.
-2*(c - 3)*(c - 2)*(c - 1)/5
Let u(r) be the third derivative of 2*r**7/105 - 83*r**6/15 + 7213*r**5/15 - 4482*r**4 + 17496*r**3 - 119*r**2 - 4. Factor u(t).
4*(t - 81)**2*(t - 2)**2
Let r = 7 - 18. Let s be (22/(-12))/r - (-35)/6. Factor -5*b**4 + s*b**4 + 3*b + 1 - 3*b**3 + 2*b**2 - b**2 - 3.
(b - 2)*(b - 1)**2*(b + 1)
Factor 3078 + 4886/19*n**2 - 98/19*n**3 - 3330*n.
-2*(n - 1)*(7*n - 171)**2/19
Let o = 412 + -409. Let y(f) = f + 11. Let l be y(-8). Let 7*w**4 - 4*w**o + 6*w**2 + 7*w**l - 10*w**4 = 0. What is w?
-1, 0, 2
Let i(c) = -128*c**2 + 2439*c - 133. Let g be i(19). Find j, given that 2/7*j**2 + 0 - 2/7*j**4 + g*j + 0*j**3 = 0.
-1, 0, 1
Let o = -317 - -322. Let d(s) = -s**2 + 2*s. Let b(r) = r**2 - 2*r. Let i(c) = o*b(c) + 4*d(c). Find h such that i(h) = 0.
0, 2
Let q(g) be the second derivative of g**6/195 - 3*g**5/130 - 25*g**4/26 - 137*g**3/39 - 66*g**2/13 - 4151*g. Suppose q(c) = 0. What is c?
-6, -1, 11
Let h be ((-55)/99*3/5*0)/2. Solve -12/7*o**3 + h - 16/7*o + 4*o**2 = 0 for o.
0, 1, 4/3
Let k be 120/90 + 185/(-333). Let l = 808 + -7264/9. Suppose l - k*d**2 + 26/9*d = 0. What is d?
-2/7, 4
Let h(g) = 162*g**2 + g - 7. Let b be h(2). What is p in b*p - 16 + 639*p + 2*p**2 - 1296*p = 0?
-1, 8
Let o(g) be the second derivative of -47/21*g**4 + 2*g**3 + 8/7*g**2 + 2/15*g**6 + 3/7*g**5 - 95*g + 0. Find z such that o(z) = 0.
-4, -1/7, 1
Let d(p) be the first derivative of p**5/15 + 83*p**4/12 + 158*p**3/3 + 466*p**2/3 + 616*p/3 + 7344. Factor d(v).
(v + 2)**3*(v + 77)/3
Let i(c) be the third derivative of -c**8/16 + 3641*c**7/210 + 113*c**6/6 + 29*c**5/5 - 792*c