(x). Suppose 5/8*o**2 + 1/8*o**w + 1/2 + o = 0. Calculate o.
-2, -1
Let g(j) be the third derivative of -1/1155*j**7 - 1/15*j**6 + 0 - 263/165*j**5 - j + 49*j**2 - 147/11*j**3 - 7*j**4. Factor g(o).
-2*(o + 1)**2*(o + 21)**2/11
Suppose 15 + 5 = 5*a. Determine u so that 616*u**3 + 3*u**2 + 3*u**4 + 606*u**3 - 1213*u**3 - 6*u - 3*u**5 - 6*u**a = 0.
-2, -1, 0, 1
Let p(c) be the second derivative of c**5/10 - 13*c**4/2 + 169*c**3 - 2197*c**2 + 2*c + 4073. Factor p(b).
2*(b - 13)**3
Let c = -7 + -14. Let g be (-57)/c + -3 + (-30)/(-7). Factor -7*p - 8*p + 24*p + g*p**3 - 13*p.
4*p*(p - 1)*(p + 1)
Let d(q) be the third derivative of -5*q**8/336 + q**7/42 + 5*q**6/12 + 2*q**5/3 + 2*q**2 + 23*q. Let d(s) = 0. Calculate s.
-2, -1, 0, 4
Suppose 4*i - 731*o = -729*o - 18, 3*i - 36 = -4*o. Factor -1/3*q**3 + i + q + 2/3*q**2.
-q*(q - 3)*(q + 1)/3
Let r(u) = u**2 - 51 + 12*u - 3*u**2 + 68. Let j be r(7). Factor -12*b**2 + 24*b - 4*b**2 - 2*b**j - 19*b**3 - 3*b**3 - 4*b**4 + 20.
-4*(b - 1)*(b + 1)**2*(b + 5)
Let j(d) be the third derivative of -d**5/60 - 331*d**4/12 - 109561*d**3/6 + 24*d**2 - 21*d. Factor j(b).
-(b + 331)**2
Let x = 1432 + -1434. Let c be x + ((-288)/45 - -9). Factor -108/5 - c*u**2 - 36/5*u.
-3*(u + 6)**2/5
Let u = -9 + 12. Suppose u*g - 7 = 8. Solve -13*v - g*v + 2*v**2 + 8*v = 0.
0, 5
Let j(d) be the third derivative of d**6/900 - 71*d**5/450 + 127*d**4/36 - 305*d**3/9 - 844*d**2. What is i in j(i) = 0?
5, 61
Let w be (3/7)/((-32)/224). Let m(k) = 9*k**3 - 33*k**2 + 9*k - 3. Let z(f) = -8*f**3 + 33*f**2 - 11*f + 2. Let n(g) = w*z(g) - 2*m(g). Factor n(s).
3*s*(s - 5)*(2*s - 1)
Let x(j) be the first derivative of j**4/6 + 250*j**3/9 + 3712*j**2/3 - 8192*j + 2341. Factor x(z).
2*(z - 3)*(z + 64)**2/3
Let s(r) be the first derivative of -r**4/28 - 5*r**3/7 - r**2 - 827. Factor s(d).
-d*(d + 1)*(d + 14)/7
Let k(a) be the second derivative of a**5/240 - 3*a**4/16 + 91*a**3/36 + 2*a + 858. Factor k(i).
i*(i - 14)*(i - 13)/12
Suppose -106*z + 192*z + 633*z - 253 = 1185. Determine q, given that 0 + 64/3*q**4 - 44/3*q**3 - 16/3*q - 64/3*q**z + 20*q**5 = 0.
-1, -2/3, -2/5, 0, 1
Factor -t**3 - 20100*t + 4*t**2 + 74 - 13*t**2 - 27*t**2 + 20139*t.
-(t - 2)*(t + 1)*(t + 37)
Factor -545*y - 1/2*y**2 - 1089/2.
-(y + 1)*(y + 1089)/2
Let b(u) be the third derivative of -3*u**6/40 - 73*u**5/20 + 16*u**4 - 26*u**3 - 2*u**2 - 2483*u + 2. Let b(p) = 0. Calculate p.
-26, 2/3, 1
Let q(k) be the third derivative of -1/1080*k**6 + 1/24*k**4 - 1/180*k**5 + 5/3*k**3 - 9*k**2 + 0 + 0*k. Let a(b) be the first derivative of q(b). Factor a(z).
-(z - 1)*(z + 3)/3
Let v(l) be the third derivative of l**6/24 - 47*l**5/6 + 425*l**4/2 - 2460*l**3 - 8240*l**2. Suppose v(d) = 0. Calculate d.
6, 82
Let c(s) be the second derivative of s**5/60 - 23*s**4/18 - 95*s**3/18 - 8*s**2 + 432*s. Suppose c(a) = 0. Calculate a.
-1, 48
Let d(g) be the first derivative of -g**3/3 - 62*g**2 - 708*g + 1868. Factor d(s).
-(s + 6)*(s + 118)
Let x(a) = -22*a**3 + 514*a**2 + 3141*a + 4731. Let f(v) = 51*v**3 - 1026*v**2 - 6280*v - 9461. Let j(h) = 6*f(h) + 14*x(h). What is k in j(k) = 0?
-3, 526
Suppose 9475*x = 9470*x - 3*t + 65, 0 = x + t - 15. Factor 100*f + 0 + 1/4*f**3 + x*f**2.
f*(f + 20)**2/4
Let x(t) be the second derivative of 0 - 1/30*t**5 + t**2 + 14*t + 0*t**3 + 1/12*t**4. Let n(b) be the first derivative of x(b). Let n(m) = 0. What is m?
0, 1
Let w(s) be the third derivative of s**5/60 - 499*s**4/4 + 747003*s**3/2 - 2988*s**2 + s. Determine k, given that w(k) = 0.
1497
Let z be ((-42)/2541)/(7/(-616)). Solve -2/11*j**2 - 12/11*j - z = 0.
-4, -2
Let g = -100 - -102. Suppose -g*b = 3*r - 91, -4*r - 2*b = -3*b - 103. Solve 20*z - 19*z**3 - 9*z**2 - z**3 + 28*z**4 + 8 - r*z**2 = 0 for z.
-1, -2/7, 1
Factor -375 - 3/2*p**2 + 753/2*p.
-3*(p - 250)*(p - 1)/2
Let i(v) be the first derivative of 0*v**2 + 10*v**3 - 1/2*v**4 + 0*v - 142. Factor i(n).
-2*n**2*(n - 15)
Let b(a) be the third derivative of a**7/2940 + a**6/630 - a**5/140 + 17*a**3 + 2*a**2 - 107. Let q(s) be the first derivative of b(s). Factor q(n).
2*n*(n - 1)*(n + 3)/7
Let w(c) be the third derivative of -c**5/80 + 155*c**4/32 + 39*c**3/2 + 14*c**2 - 13*c. Solve w(o) = 0 for o.
-1, 156
Let g = -208949/42 + 4975. Let r(h) be the second derivative of g*h**4 - 1/42*h**3 + 1/140*h**5 - 1/7*h**2 + 0 - 22*h. Factor r(u).
(u - 1)*(u + 1)*(u + 2)/7
Let k(l) be the first derivative of -2*l**5/55 - 19*l**4/22 - 34*l**3/33 + 19*l**2/11 + 36*l/11 + 719. Suppose k(t) = 0. What is t?
-18, -1, 1
Let l(f) = 7*f**2 - 2. Let v(s) = 4 + 15*s**2 - 18 + 9. Let k(i) = 5*l(i) - 2*v(i). Solve k(z) = 0.
0
Let r = -3/65219 - -2934867/260876. Factor -r*k - 21/2 - 3/4*k**2.
-3*(k + 1)*(k + 14)/4
Let f(y) be the second derivative of -3/14*y**3 - 19 - y + 3/7*y**2 + 1/28*y**4. Factor f(a).
3*(a - 2)*(a - 1)/7
Suppose -2*w = -10*x + 7*x - 28, x + 76 = 4*w. Let v be w/60*(0 - -1). Factor 0 + 0*h**2 + 0*h - 2/3*h**4 + v*h**3.
-h**3*(2*h - 1)/3
Factor 87/4*b**2 - 1935/4*b**3 + 1849/4*b**4 - 1/4*b + 0.
b*(b - 1)*(43*b - 1)**2/4
Determine w, given that -29/3 - 28/3*w + 1/3*w**2 = 0.
-1, 29
Factor -352/5*l + 14/5 + 10*l**2.
2*(l - 7)*(25*l - 1)/5
Let z = 425/2 - 208. Let h(j) be the second derivative of 4*j + 5/4*j**4 + 3/20*j**5 + z*j**2 + 7/2*j**3 + 0. Factor h(k).
3*(k + 1)**2*(k + 3)
Find c, given that -81*c + 660 - 93*c + 374*c + 49*c + 4*c**2 - 97*c = 0.
-33, -5
Let x = 55576/15 + -22262/5. Let u = x + 748. Factor 4/3*j**2 - 2/3 + u*j.
2*(j + 1)*(2*j - 1)/3
Let i(t) be the first derivative of t**4/5 - 7*t**3/10 - 3*t**2/5 - 35*t - 20. Let z(r) be the first derivative of i(r). Factor z(w).
3*(w - 2)*(4*w + 1)/5
Let k = -97496 + 877465/9. Factor -k*s**2 - 25 + 10/3*s.
-(s - 15)**2/9
Let a = -107/47 + 569/188. Factor -36 + a*p**3 - 33/4*p**2 + 30*p.
3*(p - 4)**2*(p - 3)/4
Let s be (12/(-16))/(18/48424). Let u = s + 2021. Determine v, given that -2 + u*v**2 - 28/3*v = 0.
-1/5, 3
Let t = 215306/5 + -42974. What is v in -48*v**3 + 18/5*v**4 - t*v**2 - 208/5*v - 6 = 0?
-1, -1/3, 15
Let w = 737 + -656. Let y be 3*(-2)/(-6) - -4. Solve -50*k - 41*k - 45*k**3 - 25*k**4 - y*k**5 + w*k - 35*k**2 = 0 for k.
-2, -1, 0
Factor -17*d**2 + 60*d**2 - 39*d**2 + 90*d + 118*d.
4*d*(d + 52)
Let i(l) = -l**3 - 29*l**2 - 42*l - 104. Let n be i(-28). Let m be (-10)/80 - (-164)/n. Determine p so that 2/9*p**2 + 0 - m*p = 0.
0, 2
Let v be 18/(-63)*(-70)/4. What is j in -1421*j - 23 - 270*j**2 + 1649*j + 147*j**3 - 36*j**4 - 23 - 26 + 3*j**v = 0?
1, 2, 6
Suppose -2*h + 16 = 16*r - 20*r, 4*r = 5*h - 22. Suppose w + h = 0, 3*o - 8 = 4*w + 9. Factor -3/5*b**2 - 1/5*b**o + 1/5*b + 1/5*b**4 + 2/5.
(b - 2)*(b - 1)*(b + 1)**2/5
Let y(m) be the second derivative of -m**6/50 - 6*m**5/5 - 126*m**4/5 - 784*m**3/5 + 8232*m**2/5 + 3623*m. Find c such that y(c) = 0.
-14, 2
Let d(v) be the first derivative of -1/4*v**4 + 0*v + 11 + 0*v**3 - 1/20*v**5 - 11/2*v**2. Let a(b) be the second derivative of d(b). Factor a(z).
-3*z*(z + 2)
Let a(b) be the second derivative of b**4/36 + 17*b**3/18 - 55*b**2/3 - 7*b + 37. Suppose a(o) = 0. What is o?
-22, 5
Let r(j) be the first derivative of j + 5/24*j**6 + 27/20*j**5 + 3*j**2 + 55/16*j**4 - 6 + 53/12*j**3. What is z in r(z) = 0?
-2, -1, -2/5
Suppose 18*n - 576 = 828. Let -1936 + n*y - 4*y**2 - 37*y + 103*y + 32*y = 0. Calculate y.
22
Let d(w) be the second derivative of -w**5/12 + 35*w**4/3 - 1960*w**3/3 - 36*w**2 - 2*w + 1. Let m(g) be the first derivative of d(g). Factor m(n).
-5*(n - 28)**2
Let w = 105 - 103. Let k(s) = -w + 19 + 4*s - 14*s + 5*s**2 - 3*s. Let g(p) = -56*p**2 + 142*p - 188. Let m(r) = -6*g(r) - 68*k(r). Solve m(h) = 0 for h.
1, 7
Let q be (3/18)/((-4)/(-48)). Let p(w) be the first derivative of 0*w - 14 + w**q + 2/3*w**3. Factor p(t).
2*t*(t + 1)
Let l(h) be the second derivative of -39*h + 96*h**3 + 4*h**4 + 1/15*h**5 + 0 - 21/2*h**2. Let m(t) be the first derivative of l(t). Factor m(s).
4*(s + 12)**2
Let m(q) be the third derivative of 0*q + 1/60*q**5 - 203*q**2 + 0*q**3 + 0 - 23/24*q**4. Solve m(p) = 0 for p.
0, 23
Let w = -581 + 599. Find o such that 33*o**3 + 3 - 72*o - 3 - 47*o**3 + w*o**3 - 28*o**2 = 0.
-2, 0, 9
Determine i, given that 6*i**3 - 16*i**4 + 12*i**3 - 183 + 385 + 2*i**5 - 8*i + 52*i**2 - 154 - 96*i = 0.
-2, 1, 2, 6