be the third derivative of l**8/33600 - l**7/2520 - 137*l**4/24 + 238*l**2. Let x(n) be the second derivative of g(n). What is j in x(j) = 0?
0, 5
Let p = 641 + -715. Let t be 2/(-1) - (-9 + p/(-12)). Factor t*r + 1 + 1/6*r**2.
(r + 2)*(r + 3)/6
Let y(t) be the second derivative of -t**4/42 + 166*t**3/7 + 2*t - 763. Solve y(r) = 0.
0, 498
Let l(x) be the second derivative of x**5/30 + 13*x**4/12 + 29*x**2/2 - 6*x + 4. Let p(m) be the first derivative of l(m). Find h, given that p(h) = 0.
-13, 0
Solve 38*q**3 + 1051*q + 221*q**2 - 7*q**3 - 4*q**4 - 943*q - 65*q**4 + 7 - 27 - 7*q**5 = 0.
-10, -1, 1/7, 2
Factor 9 - 4*p - 1/4*p**2.
-(p - 2)*(p + 18)/4
Let l(r) = 46*r**4 - 418*r**3 - 660*r**2 + 8571*r - 10629. Let z(o) = -13*o**4 + 104*o**3 + 165*o**2 - 2143*o + 2657. Let y(u) = -3*l(u) - 11*z(u). Factor y(m).
5*(m - 2)**2*(m + 7)*(m + 19)
Let j(a) be the third derivative of a**8/3360 - a**7/420 - a**6/5 - 44*a**5/15 - 26*a**4/3 - 31*a**2. Let l(o) be the second derivative of j(o). Factor l(h).
2*(h - 11)*(h + 4)**2
Let z be (55/(-21) + 3)*-8*(-12)/(-384)*-54. Factor z*w + 2/7*w**2 + 64/7.
2*(w + 2)*(w + 16)/7
Let r(m) be the third derivative of -m**7/420 + m**6/60 + m**5/15 - m**4 + 15*m**3/2 + 2*m**2 - 27*m. Let n(s) be the first derivative of r(s). Factor n(q).
-2*(q - 3)*(q - 2)*(q + 2)
Determine b, given that 693*b**3 + 25*b**5 - 551*b**2 + 494/3*b - 835/3*b**4 - 16 = 0.
1/5, 1/3, 3/5, 2, 8
Let x(n) be the first derivative of 12*n**3 - 1178*n**2 + 1040*n - 11907. Let x(b) = 0. Calculate b.
4/9, 65
Let o(y) = -y**2 - y + 10. Let l(s) = 14*s**4 - 710*s**3 + 470*s**2 + 174*s + 260. Let x(z) = 2*l(z) - 52*o(z). Suppose x(t) = 0. What is t?
-2/7, 0, 1, 50
Solve 0 + 23/2*u**4 + 1/2*u**3 - 23/2*u**2 - 1/2*u**5 + 0*u = 0 for u.
-1, 0, 1, 23
Let l(x) be the third derivative of 1/630*x**7 - 1/20*x**5 + 0*x + 1/18*x**4 + 2/3*x**3 + 0 - 9*x**2 + 0*x**6. Factor l(d).
(d - 2)**2*(d + 1)*(d + 3)/3
Let m(a) be the second derivative of a**6/1980 - 2*a**5/165 + 16*a**3/3 - 32*a. Let z(w) be the second derivative of m(w). Determine q so that z(q) = 0.
0, 8
Suppose -d - 2*t = 4, -2*t = -3*t - 3. Let g = 996 + -994. Solve -4*a**2 - 15*a**g + 10*a**d + 6 - 15*a = 0.
-2, 1/3
Let j be (3006/(-1505) - -2)/(26/25220). Let m = j + -2/301. Factor m*v + 16/7 + 2/7*v**2.
2*(v + 1)*(v + 8)/7
Let b(t) be the third derivative of 20/3*t**3 + 0 - 63*t**2 + 2*t - 1/30*t**5 - 19/12*t**4. Determine n, given that b(n) = 0.
-20, 1
Suppose -412*x**3 - 1116*x**2 - 1056 - 22*x**4 - 3148*x**2 + 50*x**4 - 4880*x = 0. What is x?
-6, -1, -2/7, 22
Suppose -4*p = p - 10. Suppose -9 = -a - p*a. Determine h, given that -9*h**2 + 99*h**2 - 57*h + 20 - 18*h - 9*h**a - 26*h**3 = 0.
4/7, 1
Let v(x) be the third derivative of x**8/784 - 3*x**7/98 - 71*x**6/280 - 93*x**5/140 - 19*x**4/28 + 2048*x**2. Let v(f) = 0. Calculate f.
-2, -1, 0, 19
Let j(s) = -7*s**3 - 10*s**2 + 37*s + 20. Let x(u) = 3*u**3 + 13*u**2 - u - 1. Let v(t) = -j(t) - 2*x(t). Factor v(i).
(i - 18)*(i + 1)**2
Let x be -8 - (-3 + 6)*(15 + 1696/(-96)). Find m such that x*m + 2/9*m**3 - 14/9*m**2 + 0 = 0.
0, 7
Suppose 6 = -314*s + 319*s - 3*g, -4*s - 2*g - 4 = 0. Let j(i) be the third derivative of 0 - 1/54*i**4 + s*i + 12*i**2 + 4/27*i**3 - 1/135*i**5. Factor j(q).
-4*(q - 1)*(q + 2)/9
Find k, given that -11/2*k + 16/3*k**3 + 1/3*k**2 - 3*k**4 + 1/6*k**5 + 8/3 = 0.
-1, 1, 16
Let h(m) = 2*m**3 - 6*m**2 - 6. Let a be h(4). Let g = a + -23. Solve 4*i**4 - 11*i**3 - 22*i**2 + 18*i**2 - i**g + 12*i**5 = 0.
-1, -1/3, 0, 1
Factor 2525*l**3 - 88*l**4 + 35*l**4 + 42*l**4 - 2530*l**2 + 16*l**4.
5*l**2*(l - 1)*(l + 506)
Let f be (-2780)/(-60)*(0 - -6). Let a = f + -276. Factor -3/8*q + 15/8*q**3 + 0 - 9/8*q**4 - 3/8*q**a.
-3*q*(q - 1)**2*(3*q + 1)/8
Let y(s) be the third derivative of -s**8/3864 - s**7/345 + 14*s**6/345 + 104*s**5/345 - 320*s**4/69 + 1024*s**3/69 - 465*s**2. What is q in y(q) = 0?
-8, 1, 4
Suppose -15*l - 48*l + 1090 = 46*l. Factor 1/2*w**4 + 0 + 0*w - l*w**2 - 1/2*w**3.
w**2*(w - 5)*(w + 4)/2
Let h(n) = -3*n - 13. Let c be h(-5). Suppose -4*m = c*l - l + 2, 0 = -l - 5*m - 5. Let 2*o**2 + 10*o**3 - 3*o**4 - 3*o**4 - l*o - 2 + 3 + 3 = 0. Calculate o.
-1, 2/3, 1
Let t(v) = v**3 + 13*v**2 - 16*v - 1. Let x be t(-14). Suppose x*s = 14*s. Determine h, given that s*h**2 + 0 + 9/2*h**3 - 1/2*h = 0.
-1/3, 0, 1/3
Let c(l) = -2*l**2 + 1791*l + 61281. Let d be c(-33). Solve 3/7*u + d - 1/7*u**2 = 0.
0, 3
Let d be ((-4395)/(-6446))/(10/11). Factor 15/2 + 33/4*x + d*x**2.
3*(x + 1)*(x + 10)/4
Solve 3220*d**4 - 1596*d**4 + 81 - 7*d**3 + 7*d**3 - 18*d**2 - 1623*d**4 = 0.
-3, 3
Let u be 72/(-16)*2 + 14. Suppose 10 = 3*k - 5*k, o + 25 = -u*k. Suppose -8/3*z - 4/3*z**2 + o = 0. What is z?
-2, 0
Let z(d) be the first derivative of 486*d**5/25 + 6723*d**4/5 - 6024*d**3/5 + 1208*d**2/3 - 896*d/15 - 1080. Factor z(b).
2*(b + 56)*(9*b - 2)**3/15
Suppose 0 + 729/5*s + 1/5*s**5 + 838/5*s**3 - 56/5*s**4 - 1512/5*s**2 = 0. Calculate s.
0, 1, 27
Let u(a) be the second derivative of -a**4/9 - 71*a**3/18 + 3*a**2 + 508*a. Factor u(x).
-(x + 18)*(4*x - 1)/3
Let g = -609/149 + 3194/745. What is k in -1/5*k**2 + 4/5 + g*k**3 - 4/5*k = 0?
-2, 1, 2
Factor 284 + 11070*n - 5873*n - n**2 - 5480*n.
-(n - 1)*(n + 284)
Let l(g) = 11*g**3 - 131*g**2 + 42*g + 4. Let b(f) = f**3 + f**2 + f + 1. Suppose -12*w + 10 = -2. Let j(o) = w*l(o) - 4*b(o). Factor j(n).
n*(n - 19)*(7*n - 2)
Let d(t) be the first derivative of -4*t**5/5 - 7*t**4 + 72*t**3 - 144*t**2 + 9670. Factor d(z).
-4*z*(z - 3)*(z - 2)*(z + 12)
Let b(o) = 157*o + 15. Let s be b(6). Let c be s/3 + (-6 - -3). Factor c*g**3 - g - 3*g**2 - 313*g**3 + g.
3*g**2*(g - 1)
Let z(b) = 30*b**2 + 4*b - 29. Let j be z(3). Factor 115*q**2 - 245*q**5 - 595*q**4 - j*q**3 - 240*q**3 - 12 + 80*q + 158*q**3 - 4 - 4.
-5*(q + 1)**3*(7*q - 2)**2
Let r be ((-10)/(-36)*720/(-1200))/(1/(-36)*2). Factor -3/2*y + 3/4 - 3/4*y**2 + 3/2*y**r.
3*(y - 1)*(y + 1)*(2*y - 1)/4
Let b be (-26 + 6612/171)*(1 - -2). Let 70*j**3 + b*j - 14/3 - 571/6*j**2 - 49/6*j**4 = 0. Calculate j.
2/7, 1, 7
Suppose 5*i + 4*s = 66 + 23, -3*i + 54 = 3*s. Factor 80*v + 101 - 6*v**2 - i - 8*v**2 + 10*v**2.
-4*(v - 21)*(v + 1)
Let h(t) be the second derivative of 25/3*t**2 + 0 + 13/54*t**4 - 55/27*t**3 - 188*t - 1/90*t**5. Factor h(a).
-2*(a - 5)**2*(a - 3)/9
Let u(g) = 2*g + 46. Let v be u(-23). Let f be v*(-8)/(-20)*(-20)/(-24). Factor f + 1/4*h**2 + 1/4*h.
h*(h + 1)/4
Let d(a) = -a**2 + 7*a - 5. Let w be d(5). Let t be 7/(2*((-1496)/(-1488) + -1)). Factor 5*k**w - 10*k**4 - t*k + 651*k - 15*k**3.
5*k**3*(k - 3)*(k + 1)
Let x(l) be the third derivative of 0 + 37*l - 3/100*l**6 + 3/20*l**4 - 9/350*l**7 + 1/10*l**3 + 2/25*l**5 + l**2. Solve x(c) = 0 for c.
-1, -1/3, 1
Let b(k) = 2*k**2 - 2*k + 1. Let t be (-2 - -1)/((-70)/(-1050)). Let n(j) = -24*j**2 + 3*j - 3. Let u(s) = t*b(s) - n(s). Solve u(i) = 0.
1/2, 4
Let p(r) be the first derivative of 3*r + 1/24*r**4 - 6 + 0*r**2 + 1/4*r**3. Let q(x) be the first derivative of p(x). Factor q(o).
o*(o + 3)/2
Let v = 283179/2265368 - 1/283171. Let 5/8*o + 0 - 5/8*o**3 + v*o**4 - 1/8*o**2 = 0. Calculate o.
-1, 0, 1, 5
Let s be (2 + -2)/(((-2)/6)/((-735)/(-45) - 16)). Factor s*y - 4/5*y**2 + 0 - 2*y**3.
-2*y**2*(5*y + 2)/5
Let q(j) be the first derivative of -3*j**5/5 - 219*j**4/2 + 2340*j**3 - 17925*j**2 + 60375*j - 6471. Factor q(l).
-3*(l - 5)**3*(l + 161)
Let n(o) be the third derivative of 19*o**5/45 - o**4/108 + o**2 - 1015. Let n(y) = 0. What is y?
0, 1/114
Suppose -32 = -4*v + 64. Let x be (6/4)/(12/32). Let -28*l + 20*l**2 - v*l**4 - 7*l**2 + x + 7*l**2 + 28*l**3 = 0. Calculate l.
-1, 1/6, 1
Let k = -1 + 3. Let f be (-3)/12*4 + 107 + -104. Factor -8/7*t**f + k*t + 4/7.
-2*(t - 2)*(4*t + 1)/7
Factor -87/8*c - 3/8*c**2 - 207/4.
-3*(c + 6)*(c + 23)/8
Let i = 61 - 55. Suppose -i*l - 3*l = -36. Find w, given that 1/8*w**l - 1/4*w**3 - 1/8*w**2 + 1/4*w + 0 = 0.
-1, 0, 1, 2
Suppose -1336*a + 243*a + 4686 - 1407 = 0. Suppose -m**a + m + 4/3*m**4 - 4/3*m**2 + 0 = 0. Calculate m.
-1, 0, 3/4, 1
Let n(c) be the third derivative of -c**5/300 + 608*c**4/15 - 2957312*c**3/15 - 251*c**2 - c - 3. Factor n(d).
-(d - 2432)**2/5
Let n(y) be the third derivative of 0 + 0*y - 1/780*y**6 - 243*y**2 - 20/39*y**3 + 1/4*y**4 - 3/65*y**5. Le