**5.
2*w**2*(w - 2)**2*(w - 1)/5
Let n(m) = -3*m**2 + 68*m - 273. Let f be n(6). Let q(l) be the second derivative of -20*l**3 - 360*l**2 - 5/12*l**4 + 0 + f*l. Factor q(y).
-5*(y + 12)**2
Solve 28/5*m**3 - 106/5*m + 56/5*m**2 + 44/5 - 4*m**4 - 2/5*m**5 = 0.
-11, -2, 1
Let m(t) be the third derivative of -t**7/105 + 28*t**6/15 + 113*t**5/30 + 339*t**2 + 8*t. What is o in m(o) = 0?
-1, 0, 113
Let k(b) = 11*b + 29*b**2 - 2*b**3 - 4*b**3 + 1 + 7*b**3 - 30. Let n(v) = -3*v**3 - 117*v**2 - 42*v + 117. Let d(p) = 15*k(p) + 4*n(p). Factor d(h).
3*(h - 11)*(h - 1)*(h + 1)
Suppose 3*z + 106 = 2*j + 126, -j = z. Let o(c) be the first derivative of -15 + 4*c**3 + 0*c**2 - 3*c**z + 1/2*c**6 - 3/5*c**5 + 0*c. Factor o(w).
3*w**2*(w - 2)*(w - 1)*(w + 2)
Let t be ((-8)/(-42))/((-12)/(-27)). Let x = -991 + 991. Factor t*p**2 + 9/7*p**3 + x + 3/7*p**5 + 0*p + 9/7*p**4.
3*p**2*(p + 1)**3/7
Factor 18/7*s**2 + 88*s + 136/7.
2*(s + 34)*(9*s + 2)/7
Let 28*g - 14*g**2 + 407 + 15*g**2 - 211 = 0. What is g?
-14
Let -315/2 + 3*f + 1/2*f**2 = 0. Calculate f.
-21, 15
Let u(j) be the first derivative of -4/15*j**5 + 1/9*j**6 + 1/6*j**4 - 106 + 0*j**3 + 0*j + 0*j**2. Determine n, given that u(n) = 0.
0, 1
Let p be (10/(-1341))/(-7 - (-60027)/8577). Let k = p + 1/298. Let 2/3*j**4 + 4*j - 6 + k*j**2 - 4*j**3 = 0. Calculate j.
-1, 1, 3
Let p(w) be the first derivative of -w**6/360 - w**5/30 - 101*w**3/3 + 47. Let g(n) be the third derivative of p(n). Suppose g(o) = 0. Calculate o.
-4, 0
Suppose -3*f + 5*s = -81, -2*s - 13 = -7. Suppose -8 = -f*w + 20*w. Factor 4/5*r**3 - 4/5*r**w + 0*r + 0 + 8/5*r**2.
-4*r**2*(r - 2)*(r + 1)/5
Suppose -166 - 62 = -t. Factor -30*u + t - 5*u**3 - 25*u**2 + 226 - 454.
-5*u*(u + 2)*(u + 3)
Factor 81*m + 24*m**4 + m**5 + 30*m**4 + 25*m**4 + 78*m**3 + 144*m**2 - 63*m**4.
m*(m + 1)*(m + 3)**2*(m + 9)
Let w(r) be the second derivative of 3/2*r**2 + 2/189*r**7 + 1/18*r**6 - 4/3*r**3 - 55*r + 0 - 23/18*r**4 - 7/45*r**5. Let w(i) = 0. Calculate i.
-3, -1, 1/4, 3
Let h(j) = 7583*j - 485310. Let l be h(64). Find m such that 3/2*m**l - 3/2 + 0*m = 0.
-1, 1
Suppose 0 = -16*m + 15*m - 53. Let d = -51 - m. Factor 61*o**3 - 65*o**3 - 2*o**2 + 0*o + o**5 + d + 3*o + 0*o.
(o - 2)*(o - 1)*(o + 1)**3
Let v = 1423/7 - 203. Let s = 646 + -644. Suppose -10/7*f**5 + 0 + v*f**s - 26/7*f**4 - 18/7*f**3 + 4/7*f = 0. What is f?
-1, 0, 2/5
Let b(t) be the first derivative of -t**4/2 + 10*t**3 - 48*t**2 + 88*t - 177. Determine r so that b(r) = 0.
2, 11
Find x, given that -14 - 16/3*x - 2/9*x**2 = 0.
-21, -3
Let a(w) be the second derivative of w**6/40 - 81*w**5/80 + 9*w**4/2 - 226*w - 4. Factor a(p).
3*p**2*(p - 24)*(p - 3)/4
Let d be 10/(30/9) - (11880/(-81))/40. Suppose d*c - 10*c**2 + 2/3*c**4 + 16 + 0*c**3 = 0. What is c?
-4, -1, 2, 3
Let m be (-21)/(252/212) + -1 - -23. Factor 12 + 1/3*n**3 + m*n**2 + 16*n.
(n + 1)*(n + 6)**2/3
Let g(j) = 143*j**2 - 26*j - 21. Let a(u) = -393*u**2 + 77*u + 63. Let b(r) = -4*a(r) - 11*g(r). Factor b(m).
-(m + 1)*(m + 21)
Let w(j) be the second derivative of j**5/5 - 132*j**4 + 34848*j**3 - 4599936*j**2 - 982*j. Factor w(t).
4*(t - 132)**3
Let n(u) be the first derivative of u**6/36 + 7*u**5/30 + u**4/12 - 32*u**3/9 - 8*u**2 - 2261. Factor n(s).
s*(s - 3)*(s + 2)*(s + 4)**2/6
Factor -7140250/3*r**3 - 1/3*r**5 + 4225/3*r**4 - 2549158503125/3*r + 430807787028125/3 + 6033511250/3*r**2.
-(r - 845)**5/3
Suppose -18*x**2 - 224*x**2 - 11472 + 22546 - x**3 - 12058 + 980*x = 0. Calculate x.
-246, 2
Factor -4*t**3 - 7*t**3 - 180 + 10*t**2 - 16*t**3 + 68*t + 7*t + 22*t**3.
-5*(t - 3)**2*(t + 4)
Let -p**2 - 334/5*p + 136 + 1/5*p**3 = 0. What is p?
-17, 2, 20
Suppose -21*g = 6*g - 1485. Let v(r) = 4*r - 24. Let a be v(7). Factor -g*y**2 - 2*y**5 - a*y**5 + 11*y**3 + 20*y - 5*y**4 + 34*y**3 + y**5.
-5*y*(y - 1)**3*(y + 4)
Suppose 0 = 15958*c - 16021*c. Let -6/7*h**3 + 8/7*h**5 + 4/7*h**2 - 8/7*h**4 + c + 2/7*h = 0. Calculate h.
-1/2, 0, 1
Suppose 296 + 277 = 224*a - 33*a. Let f(r) be the second derivative of 7*r + 0 + 0*r**4 - 2*r**2 + 2/5*r**5 + 2/15*r**6 - 4/3*r**a. Find p, given that f(p) = 0.
-1, 1
Let v(g) = -13*g**3 + 15*g**2 + 2*g - 1. Let y be v(1). Let d be (-40)/(-18) + (-2)/9. Factor -31*w**y - 53*w**d + 8*w + 49*w**3 + 13*w**2.
2*w*(w - 2)*(9*w - 2)
Let x(u) be the second derivative of -3*u**5/20 - 3*u**4/4 + 17*u**3 - 72*u**2 - u - 234. Factor x(l).
-3*(l - 3)*(l - 2)*(l + 8)
Let n(l) be the second derivative of -l**6/15 - 109*l**5/35 - 800*l**4/21 + 512*l**3/7 + l - 2801. Factor n(v).
-2*v*(v + 16)**2*(7*v - 6)/7
Suppose 5*i - 72 = -2*y + 4293, 2619 = 3*i + 5*y. Suppose 26*d - 977 = -i. Let 46/7*s**d - 4/7 + 6/7*s**2 - 12/7*s**5 - 50/7*s**3 + 2*s = 0. What is s?
-1/2, 1/3, 1, 2
Let p(f) be the third derivative of -f**6/360 - 19*f**5/120 - 3*f**4/4 - 91*f**3/2 - 2*f**2 - 20*f. Let w(k) be the first derivative of p(k). Factor w(x).
-(x + 1)*(x + 18)
Let r = 2015743/5 + -401901. Let x = -1222 + r. Factor x*i - 32/5 - 58/5*i**2 + 7/5*i**3.
(i - 4)**2*(7*i - 2)/5
Suppose 315 = 19*z - 10*z. Let q(f) = -6*f + 212. Let d be q(z). What is a in 1/4*a**d + 1 + a = 0?
-2
Suppose 19 = 17*y - 15. Solve 2*h**3 - 16384 + 3072*h - y*h**3 + 4*h**3 - 192*h**2 = 0.
16
Let j(m) be the second derivative of 7/3*m**3 + 19*m + 2*m**2 + 3/2*m**4 + 1/15*m**6 + 0 + 1/2*m**5. Factor j(h).
2*(h + 1)**3*(h + 2)
Let p be (-5 + 5 - 68/(-150)) + 1298/16225. Suppose 2/15*n**3 + 2/15*n**4 - 4/3*n**2 - p*n + 16/5 = 0. Calculate n.
-3, -2, 2
Let v be (-18)/12 - ((-14679)/1408)/7. Let x = 258705/1408 - v. Let 0 - x*f**5 + 12*f**2 - 91*f**4 - 4*f + 48*f**3 = 0. What is f?
-2/3, -2/5, 0, 2/7
Let w be 20/90 + 1 + 32/18. Factor 3*l**4 + 10*l**2 + 10*l**5 - 13*l**5 + w + 6*l**3 - 3*l - 16*l**2.
-3*(l - 1)**3*(l + 1)**2
Let c(o) be the first derivative of o**2 + 30*o - 6. Let j be c(-13). Let 12*i**2 - 37*i**5 + 73*i**5 - 39*i**5 + 5*i**j - 14*i**4 = 0. What is i?
-2, 0, 1
Let g(d) be the second derivative of 13/60*d**5 + 2*d - 5/126*d**7 + 0*d**3 + 0*d**2 - 1/45*d**6 - 1/6*d**4 - 7. Let g(l) = 0. Calculate l.
-2, 0, 3/5, 1
Suppose -4*b - 5*r + 139 = 0, -9*b + 4*b - 4*r = -167. Find g, given that -3 + 47*g - 2*g**2 - 94*g + b*g - 11 = 0.
-7, -1
Let m(k) = -5*k**3 - 40*k**2 + 16*k + 77. Let s(j) = 2*j**3 + 20*j**2 - 8*j - 38. Let i(v) = -6*m(v) - 13*s(v). Solve i(a) = 0.
-1, 2, 4
Let g(y) be the third derivative of 1/10*y**7 + 0*y**3 - 2*y**2 + 5 - 1/8*y**6 - 7/20*y**5 + 3/4*y**4 + 0*y - 1/112*y**8. Determine u, given that g(u) = 0.
-1, 0, 1, 6
Let h(b) be the second derivative of b**2 + 1/6*b**6 + 0 - 7/12*b**4 + 1/2*b**3 - 3/20*b**5 - 5*b. Factor h(f).
(f - 1)**2*(f + 1)*(5*f + 2)
Let b = -320923/75 - -4279. Let x(j) be the first derivative of 0*j**3 + 1/30*j**4 + b*j**5 + 0*j + 24 + 0*j**2. Factor x(k).
2*k**3*(k + 1)/15
Let z(b) = 2*b**2 + 17*b - 7. Let o be z(-9). Suppose -5*r - 100 = -5*l, -4*r = l + o + 3. Factor -4*y + 21 - l - 9 - y**2.
-(y + 1)*(y + 3)
Let r = 12484756/6836865 - 2/297255. Solve -r*y - 68/23*y**2 - 18/23*y**4 - 52/23*y**3 - 10/23 - 2/23*y**5 = 0 for y.
-5, -1
Suppose 0 = -16*s - 12 + 44. Factor 2*a**2 + 347 + a**s + 59*a + 0*a**2 + 199*a + 5200.
3*(a + 43)**2
Let z = -10/449 + 793/96086. Let t = z - -437/642. Suppose t*y**3 - 2/3*y - 2/5*y**4 + 4/15 + 2/15*y**2 = 0. What is y?
-1, 2/3, 1
Determine s so that 64/7*s**2 - 32 - 2/7*s**4 - 216/7*s + 54/7*s**3 = 0.
-2, -1, 2, 28
Let z = 38333/33869 + -2925/3079. Let l = 2498/11 - 226. Suppose l*x**3 - 2*x**2 + 8/11*x + z = 0. Calculate x.
-1/6, 1
Let g = -346392 + 692787/2. Suppose 4*w = 5*a + w + 5, -5*w + 23 = -a. Factor 3*y + 0 + g*y**a.
3*y*(y + 2)/2
Let d = -1/1066 + -216/53833. Let l = 152/101 + d. Factor 0 - 9/2*w + l*w**2.
3*w*(w - 3)/2
Suppose 3675*o = 3823*o. Factor -4/5*b**2 + 4/5 + 6/5*b - 8/5*b**3 + 2/5*b**5 + o*b**4.
2*(b - 2)*(b - 1)*(b + 1)**3/5
Let x(v) = 2*v**2 + v - 6*v**2 + 0 - 3. Let d(f) = 45*f - 366. Let l be d(8). Let y(b) = -b**2 - 1. Let i(s) = l*y(s) + 2*x(s). Suppose i(p) = 0. Calculate p.
0, 1
Let j be (-2)/(((-1242)/(-4140))/(2/(-30))). Factor 0*v + 0 - 28/9*v**2 - j*v**3.
-4*v**2*(v + 7)/9
Suppose -3 = -3*l - 0*l + d, 0 = -5*l + 3*d + 1. Find b, given that -2*b**2 - 3*b**3 + 8 - 4*b**3 + 7*b**3 + l*b**3 - 8*b = 0.
-2, 1, 2
Let a be (0 + 328/12)/(4/48). Find n such that -4472 +