 a(4). Let j be (-5)/55 + (-4)/(132/(-69)). Factor -3*k - 3*k + 10*k**j + 3*k**o + 3*k - 7*k**2 - 3.
3*(k - 1)*(k + 1)**2
Let -3*v - 16*v**3 - v**2 + 4*v**3 + 6*v**3 - v**4 + 17 - 15 + 9*v**3 = 0. Calculate v.
-1, 1, 2
Let u(v) be the second derivative of -v**7/1890 + v**6/540 + 5*v**4/6 - v**3/3 + v + 8. Let k(t) be the third derivative of u(t). Determine z so that k(z) = 0.
0, 1
Let b(y) be the second derivative of y**7/210 - y**6/30 + 2*y**4/3 - 83*y**3/6 - 12*y. Let o(r) be the second derivative of b(r). Solve o(u) = 0 for u.
-1, 2
Let k = 1650681 + -1650679. Factor 8/9*j + 0 - 10/9*j**k + 2/9*j**3.
2*j*(j - 4)*(j - 1)/9
Let h(k) = -6*k**3 - 6*k**2 + 20*k + 19. Let d(i) = -i**3 - i**2 - 1. Let n be ((3 - 1)/(-2) - -2)*1. Let j(t) = n*h(t) - d(t). Determine w so that j(w) = 0.
-2, -1, 2
Let b be 4/2*(-109 - (-28601)/259). Factor 2/7*n**2 + 6/7*n - b.
2*(n - 2)*(n + 5)/7
Factor 0 - 124/3*r + 2/9*r**3 - 370/9*r**2.
2*r*(r - 186)*(r + 1)/9
Find r, given that -3/2*r**5 + 291/4*r**2 + 0 + 125/4*r**3 + 45/4*r - 7/4*r**4 = 0.
-3, -1/6, 0, 5
Let i(l) = -l**2 + 9*l - 15. Let m be i(3). Factor 56*j + 36*j**3 - 85*j**m - 20*j**2 + 45*j**3.
-4*j*(j - 2)*(j + 7)
Let j = -16 + 16. Let i be (j - 1)/(5 + 77/(-14)). Find b, given that 2*b + 8*b**i - 14*b**3 + 28*b**3 - 8*b**4 - 18*b**3 - 4*b + 6*b**5 = 0.
-1, 0, 1/3, 1
Let y(l) = -16 - 132*l**3 + 148*l**3 + 24*l + 3*l**4 + 9*l**4 + 12*l**2. Let p(m) = -m**4 - m**3 - m + 1. Let u(j) = -16*p(j) - y(j). Factor u(s).
4*s*(s - 2)*(s + 1)**2
Let y be 108/936 + 490/260. Solve -1/2*c**4 + 3/2*c**3 + 15/2*c**y + 17/2*c + 3 = 0.
-1, 6
Let f(s) be the first derivative of -s**4/6 - 88*s**3/9 - 629*s**2/3 - 5780*s/3 - 558. Find k such that f(k) = 0.
-17, -10
Let d(f) be the third derivative of -f**10/302400 + f**9/60480 - f**8/40320 - 61*f**5/60 + 3*f**2 - 4. Let n(p) be the third derivative of d(p). Factor n(u).
-u**2*(u - 1)**2/2
Let z(m) be the second derivative of m**6/50 + 9*m**5/50 + 2*m**4/5 - 3*m**3/5 - 27*m**2/10 + 162*m. Let z(b) = 0. Calculate b.
-3, -1, 1
Let q be 6/(((-27)/(-45))/(4/(-10))). Let t(w) = -33*w**2 - 392*w + 290. Let n(u) = 8*u**2 + 98*u - 72. Let v(i) = q*t(i) - 18*n(i). Find r such that v(r) = 0.
-17, 2/3
Let p(t) = 25*t**4 - 10*t**3 + 100*t**2 + 80*t - 160. Let z(f) = -3*f**4 + f**3 - 11*f**2 - 9*f + 18. Let s(q) = 4*p(q) + 35*z(q). Find w, given that s(w) = 0.
-2, -1, 1
Let t(w) be the third derivative of -w**4/24 + 2*w**3/3 + 12*w**2. Let p be t(2). Solve -9*n**2 - 2 + 2*n**3 + 3*n**2 - 2*n + 8*n**p = 0.
-1, 1
Let c(q) = -q**3 - q**2 + 5*q + 2. Let j(w) = w**3 - 650*w**2 - 35663*w - 8. Let p(k) = -4*c(k) - j(k). Find l, given that p(l) = 0.
-109, 0
Suppose -858*j + 2582 - 2582 = 0. Find n, given that j - 4/21*n + 2/21*n**5 - 2/7*n**3 - 2/21*n**4 + 10/21*n**2 = 0.
-2, 0, 1
Suppose p = -0 + 2. Suppose 3*h - p*x = 0, -h - 4*x + 5 = -9. Suppose -1/2*f**4 + 0 + 3/2*f**5 - 4*f**3 - h*f**2 + 0*f = 0. Calculate f.
-1, -2/3, 0, 2
Let s(y) be the first derivative of -y**6/6 + 2*y**5/5 + y**4 - 8*y**3/3 - 1839. Suppose s(r) = 0. What is r?
-2, 0, 2
Let g(q) be the first derivative of -2*q**3/57 + 10*q**2/19 - 32*q/19 + 420. Factor g(b).
-2*(b - 8)*(b - 2)/19
Suppose -328*o - 2158/3*o**2 - 664/3*o**3 + 504 - 10/3*o**4 = 0. What is o?
-63, -2, 3/5
Let w(t) be the second derivative of 4*t**4/15 + 6166*t**3/15 - 1542*t**2/5 + 767*t + 2. Suppose w(d) = 0. Calculate d.
-771, 1/4
Let 125/2 + 5/4*t**2 - 627/4*t = 0. Calculate t.
2/5, 125
Solve 2/9*r**5 + 796/9*r**3 - 1184/9*r**2 + 262/3*r - 196/9 - 68/3*r**4 = 0.
1, 98
Let y = -60 - -70. Suppose y*r**4 - 32*r**2 + 16*r**2 - 9*r**3 + 2*r + 12*r**5 - 5*r**3 + 6*r**2 = 0. Calculate r.
-1, 0, 1/6, 1
Suppose 3*r + 404 = 434. Suppose 0 = 13*j - r*j - 13*j. Suppose 20/3*l**2 + j - 50/3*l - 2/3*l**3 = 0. What is l?
0, 5
Let r(o) be the second derivative of 3/100*o**5 + 3 - 1/70*o**7 + 9/20*o**4 - 9/50*o**6 + 0*o**2 + 0*o**3 - 16*o. Determine p, given that r(p) = 0.
-9, -1, 0, 1
Solve -26*h**4 + 608*h**4 - 120*h**5 - 625*h**3 - 35*h**2 + 173*h**4 + 41*h**5 - 16*h**5 = 0.
-1/19, 0, 1, 7
Let p(g) be the first derivative of -10*g**2 - 64 - 140/3*g**3 + 0*g - 245/4*g**4. Factor p(z).
-5*z*(7*z + 2)**2
Factor 2/3*m**4 + 0 + 14/3*m + 2/3*m**2 - 7/2*m**3 + 1/6*m**5.
m*(m - 2)**2*(m + 1)*(m + 7)/6
Suppose 2/5*p**5 + 17/5*p**2 - 43/10*p**3 + 63/10*p - 2/5*p**4 + 9/5 = 0. Calculate p.
-3, -1/2, 2, 3
Let v(d) = 11*d - 215. Let p be v(19). Let b(q) = -9*q**2 + 150*q - 165. Let o(y) = 2*y**2 + y + 1. Let c(x) = p*o(x) - b(x). Factor c(u).
-3*(u - 1)*(u + 53)
Solve 0 - 338/21*g**2 + 2/21*g**3 - 344/7*g = 0 for g.
-3, 0, 172
Let o(a) = -a**3 + 2*a - 1. Suppose 26*p + 72 = 20*p. Let x(n) = -15*n**3 - 33*n**2 - 6*n - 12. Let g(l) = p*o(l) + x(l). Determine s, given that g(s) = 0.
-10, -1, 0
Let x be (-3)/(((-54)/(-4))/(-9)). Let r be -2 + ((-183)/(-15) - x/10). Find m such that m**3 - 13*m**4 + r*m**4 + 2*m**3 = 0.
0, 1
Let y = -252833/3 + 84279. Factor y*j**2 + 32/3 + 28/3*j - 1/3*j**3.
-(j - 8)*(j + 2)**2/3
Let x(o) = 4*o - 21. Let w be x(6). Let y(m) be the first derivative of -10*m**2 + m**w - 2*m**2 - 27*m + 12 - 29 + 0*m**3. Solve y(t) = 0 for t.
-1, 9
Factor -1/8*j**4 + 1/8*j**2 + 0 - 8*j + 8*j**3.
-j*(j - 64)*(j - 1)*(j + 1)/8
Suppose -4*u = 4*o + 4, 11 = 4*o - 4*u - 9. Factor -2*a**4 - 3*a**3 - 8*a**5 + 9*a**5 + 4*a - 184*a**2 + 188*a**o.
a*(a - 2)**2*(a + 1)**2
Let p(w) be the second derivative of -w**4/18 + 13*w**3/3 - 380*w**2/3 - 34*w + 30. Factor p(k).
-2*(k - 20)*(k - 19)/3
Let u(g) be the second derivative of 3*g**5/160 + 5*g**4/8 - 11*g**3/4 + 2*g - 8. Factor u(t).
3*t*(t - 2)*(t + 22)/8
Let n(q) be the first derivative of -q**3/6 + 359*q**2/2 - 128881*q/2 + 588. Determine m, given that n(m) = 0.
359
Let q(g) = g**3 - 7*g**2 - 20*g + 20. Let s = 243 - 234. Let m be q(s). Factor -2/3 + 3/2*d + 1/6*d**3 - d**m.
(d - 4)*(d - 1)**2/6
Let z be 1 + -16 - -1 - -1. Let t(c) = 9*c**3 + 6*c**2. Let p = -768 + 774. Let i(h) = 19*h**3 + 13*h**2. Let j(f) = p*i(f) + z*t(f). Let j(l) = 0. Calculate l.
0
Suppose -379/2*c - 143641/2 - 1/8*c**2 = 0. Calculate c.
-758
Let q(h) be the first derivative of 2/45*h**5 + 38/27*h**3 + h**2 + 0*h - 210 + 11/18*h**4. Suppose q(y) = 0. Calculate y.
-9, -1, 0
Solve 10816*i + 1536 + 237*i**4 + 33*i**4 + 21664*i**2 + 10*i**4 + 58*i**4 - 1857*i**3 + 10853*i**3 = 0.
-24, -2, -4/13
Determine h so that -2/3*h**4 - 236/15*h**2 + 40/3*h + 94/15*h**3 - 16/5 = 0.
2/5, 1, 2, 6
Let a(v) be the first derivative of -2*v**5/95 + 159*v**4/38 - 13664*v**3/57 + 2064*v**2 + 4864*v + 4955. Suppose a(z) = 0. Calculate z.
-1, 8, 76
Let u be -10 - 136/(-17) - -5. Let q(f) be the third derivative of 17*f**2 + 0 - 1/360*f**5 + 1/18*f**u + 0*f + 1/144*f**4. Let q(a) = 0. What is a?
-1, 2
Suppose 237*n**2 - 12*n**3 - 353*n**3 - 2547*n**2 - 4700*n - 1314 - 1846 - n**4 + 6*n**4 = 0. What is n?
-2, 79
Let v(d) = -8*d**2 - 377*d - 4202. Let m be v(-29). Factor 0 - 2*g**m + 2*g + 1/2*g**4 - 1/2*g**2.
g*(g - 4)*(g - 1)*(g + 1)/2
Let z(p) be the second derivative of 121*p**6/20 + 4059*p**5/20 + 15613*p**4/8 + 1353*p**3 + 363*p**2 + 2262*p. Determine a so that z(a) = 0.
-11, -2/11
Suppose -36*b - 33*b + 71*b = 0. Let t(x) be the first derivative of -10 + 0*x + 2/7*x**3 - 3/14*x**4 + b*x**2. Solve t(y) = 0 for y.
0, 1
Let c(p) = 12*p**4 + 406*p**3 - 1348*p**2 - 922*p + 6037. Let l(h) = 11*h**4 + 393*h**3 - 1349*h**2 - 921*h + 6036. Let b(n) = -6*c(n) + 7*l(n). Factor b(r).
5*(r - 3)**2*(r + 2)*(r + 67)
Let a(q) be the third derivative of q**6/40 + q**5/10 - 13*q**4/8 + 5*q**3 - 3*q**2 + 1176. Solve a(o) = 0 for o.
-5, 1, 2
Suppose -21 = -u - 17. Solve 341*l**2 + 6*l**3 + 338*l**2 - 2*l**3 - 683*l**2 + 8*l**u = 0 for l.
-1, 0, 1/2
Suppose 0 = -25*i + 14*i + 77. Let r = 18 - 4. Factor -5 - 17*j + r*j**3 + 29*j + j**3 - i + 39*j**2.
3*(j + 1)*(j + 2)*(5*j - 2)
Suppose -3*u = 4*s - 99, 65 = 5*s - u - 73. Let l(w) = 6*w - 162. Let n be l(s). Suppose n - 1/2*t**2 + 2*t**3 + 1/2*t**4 - 2*t = 0. What is t?
-4, -1, 0, 1
Determine a so that 249*a - 5*a**2 - 411*a - 138*a - 1735 - 1145 = 0.
-48, -12
Suppose 526 = -8*m + 646. Factor -86*i**2 - 55*i + 0*i**2 + 5*i**5 + 16*i**2 - 30*i**3 + 5*i**4 - m.
5*(i - 3)*(i + 1)**4
Let -258*b - 7901721 - 6*b**2 - 151*b + 0*b**2 - 5213*b + 5*b**2 = 0