ose 17*u = 53*u. Let q(w) be the second derivative of -3/14*w**3 + u + w - 1/28*w**4 - 3/7*w**2. Factor q(r).
-3*(r + 1)*(r + 2)/7
Let t(i) = 17*i**3 + 11*i**2 + 12*i + 12. Let u(m) = -4*m**3 - m**2 + m. Let g(h) = t(h) + 4*u(h). Factor g(j).
(j + 2)**2*(j + 3)
Determine m, given that 0*m**2 + 0 + 0*m + 19/9*m**5 + 0*m**3 + 5/9*m**4 = 0.
-5/19, 0
Suppose q - 10*q + 60 = 11*q. Solve 9/2*j**2 + 0 + 0*j + 1/2*j**4 - 3*j**q = 0 for j.
0, 3
Let m = -85 + 85. Suppose m = -22*y + 18*y. Determine a, given that -1/5*a**3 + 0*a - 1/5*a**5 + 0 - 2/5*a**4 + y*a**2 = 0.
-1, 0
Let g(m) = -10*m**2 - m + 5*m**3 - 4*m**3 - 1 + 13*m**2. Let f be g(-3). Factor -2/11 - 4/11*v - 2/11*v**f.
-2*(v + 1)**2/11
Let k(a) = -3*a**4 - a**3 - 3*a**2 + a + 6. Let h(t) = -t**4 + 1. Suppose -3*b - 5 = -2. Let f(q) = b*k(q) + 4*h(q). Factor f(l).
-(l - 2)*(l - 1)*(l + 1)**2
Suppose 0 = 3*l - 4*l - 26. Let u = l - -37. Factor 96*i**2 + 180*i**3 + u*i + 92*i**4 + 8*i**4 + 5*i.
4*i*(i + 1)*(5*i + 2)**2
Let k = 185015/7 - 26429. Factor 4/7*q + 12/7*q**2 + 4/7*q**4 + k*q**3 + 0.
4*q*(q + 1)**3/7
Suppose 0 = -2*f - 7 + 11. Suppose -f*j + 8 = 0, -j - 25 = -5*g - 9. Factor -8/3*a**g + 8/3*a**2 + 4/3*a + 0 + 0*a**3 - 4/3*a**5.
-4*a*(a - 1)*(a + 1)**3/3
Suppose -243/4 + 27/4*r + 15/4*r**2 + 1/4*r**3 = 0. Calculate r.
-9, 3
Suppose -39*b + 1737 - 1497 = -9*b. Factor 32 + b*c + 1/2*c**2.
(c + 8)**2/2
Suppose 0 = 2*y - 4*u - 30, -3*u = y + u + 15. Suppose 6 = y*z - 3*o, 8*z - 21 = 3*z - 2*o. Determine a so that 1/4 - 1/4*a**4 - 1/2*a**z + 0*a**2 + 1/2*a = 0.
-1, 1
Suppose -8*q + 6*q = -22. Factor 13*r**2 - 3*r - 29*r**2 + q*r**2 + 6*r**2.
r*(r - 3)
Let f(n) be the first derivative of -5*n**4/4 + 20*n**3 - 120*n**2 + 320*n + 541. Factor f(y).
-5*(y - 4)**3
Factor -2/9*l**2 - 2/9*l + 0.
-2*l*(l + 1)/9
Let q(l) be the first derivative of 0*l + 2/7*l**5 + 2/3*l**3 + 2/7*l**2 + 1/21*l**6 + 9/14*l**4 - 4. Factor q(c).
2*c*(c + 1)**3*(c + 2)/7
Let n be (-22)/(-4) + (1 - 5). Let f(i) be the second derivative of 0 - n*i**2 - i**3 - 2*i - 1/4*i**4. Let f(q) = 0. Calculate q.
-1
Let c(r) = 7*r**3 - 2*r**2 - 5*r + 4. Let u(m) = 13*m**3 - 5*m**2 - 11*m + 7. Let x(w) = 7*c(w) - 4*u(w). Factor x(b).
-3*b*(b - 3)*(b + 1)
Let m(s) be the third derivative of s**8/1008 - s**7/126 - s**6/360 + s**5/36 - 5*s**2 - 18. Factor m(p).
p**2*(p - 5)*(p - 1)*(p + 1)/3
Suppose 3*d - 5*d = -6. Let t(a) be the first derivative of -3*a - 151*a**2 + 154*a**2 + 1 + 0*a**3 - a**d. Factor t(s).
-3*(s - 1)**2
Let c(u) be the first derivative of -2*u**2 + 45*u - 95. Let x be c(10). Find a, given that -10/3*a**3 + 38/9*a**4 + 0 + 2/9*a**2 + 4/9*a - 14/9*a**x = 0.
-2/7, 0, 1
Let m be (5 - 5)/(6 - 7). Let s(u) be the second derivative of 8*u + m + 3/50*u**5 + 1/75*u**6 + 0*u**3 + 0*u**4 + 0*u**2. Factor s(y).
2*y**3*(y + 3)/5
Let a(j) be the third derivative of -44*j**2 + 5/2*j**3 + 0 + 0*j - 5/6*j**4 + 1/12*j**5. Factor a(s).
5*(s - 3)*(s - 1)
Let j(g) be the third derivative of -g**7/2205 - g**6/1260 + 69*g**2. Find k, given that j(k) = 0.
-1, 0
Let s(b) be the third derivative of b**8/2520 - b**7/1260 - b**6/1080 + 19*b**4/24 + 11*b**2. Let h(a) be the second derivative of s(a). Factor h(g).
2*g*(g - 1)*(4*g + 1)/3
Let m = -100 - -106. Let p(s) be the second derivative of -1/20*s**5 - 5*s - 1/60*s**m + 0*s**2 + 0*s**3 - 1/24*s**4 + 0. Factor p(l).
-l**2*(l + 1)**2/2
Let n = -24279 - -24282. Factor 38/3*x**2 + 8/3*x**4 + 8/3 + 25/3*x**n + 28/3*x + 1/3*x**5.
(x + 1)**2*(x + 2)**3/3
Find w, given that -11577*w**3 - 11*w + 3*w**2 + 11578*w**3 + 5*w**2 - 18 = 0.
-9, -1, 2
Let i(z) be the first derivative of z**3 - 1/2*z**4 + z - 5 + 1/10*z**5 - z**2. Let p(y) be the first derivative of i(y). Factor p(q).
2*(q - 1)**3
Let s(w) be the first derivative of 5*w**3/3 - 50*w**2 - 105*w + 270. Solve s(i) = 0 for i.
-1, 21
Find m such that -77 - 70*m**2 + 5*m**5 - 100*m + 5*m**3 + 73*m**4 + 37 - 53*m**4 = 0.
-2, -1, 2
Let t(q) be the second derivative of q**9/22680 - q**8/10080 - q**7/1890 - q**4/3 - 32*q. Let y(c) be the third derivative of t(c). Find b such that y(b) = 0.
-1, 0, 2
Let n be (40 - 42) + (-1 - -1 - -11). Suppose 5*y + n*y = 0. Factor y*u**2 + 0*u**3 - 2/7*u**4 + 0 + 0*u.
-2*u**4/7
Suppose -62*s + 44*s = -90. Let c(b) be the first derivative of b**3 + 0*b + s + 3/2*b**2. Factor c(i).
3*i*(i + 1)
Determine b so that -4/3*b**2 + 0*b - 10/3*b**4 - 14/3*b**3 + 0 = 0.
-1, -2/5, 0
Let s(k) be the first derivative of k**6/27 - 2*k**5/9 - k**4/3 + 4*k**3 - 3*k**2 - 18*k - 137. Determine i, given that s(i) = 0.
-3, -1, 3
Let w be 63*(-2)/((-1)/(-3)*6). Let r = w + 443/7. Factor -r*s**2 - 1/7*s + 2/7*s**3 - 1/7*s**5 + 1/7 + 1/7*s**4.
-(s - 1)**3*(s + 1)**2/7
Let p be (-9)/12 + (17 - 10). Solve -7*v + p*v**4 + 61/4*v**2 - 29/2*v**3 - v**5 + 1 = 0 for v.
1/4, 1, 2
Factor 367*n**3 + 670*n + 55*n**2 + 440 - 362*n**3 + 180*n**2.
5*(n + 1)*(n + 2)*(n + 44)
Let t(v) = v**3 - 27*v**2 - 31*v + 87. Let m be t(28). Factor m*x**3 + 2/3*x**2 + 0*x + 4*x**4 + 0 + 5/3*x**5.
x**2*(x + 1)**2*(5*x + 2)/3
Let t(i) = 27*i - 54. Let d be t(2). Let b(f) be the third derivative of -3*f**2 + d*f + 0 + 0*f**3 + 1/180*f**5 + 0*f**4. Factor b(h).
h**2/3
Let i be (-320)/(-96) - (-1)/(-3). Factor 4*f**i - 17*f**3 + 15*f - 55*f**2 - 7*f**3.
-5*f*(f + 3)*(4*f - 1)
Suppose -5*l = -11*l + 96. What is z in -10*z**3 + l - 3*z**4 + 8*z - 12*z**2 + z**4 + 0*z**4 = 0?
-2, 1
Let b(m) be the second derivative of m**5/60 + m**4/12 + m**3/6 - 11*m**2/2 + 14*m. Let x(z) be the first derivative of b(z). Factor x(v).
(v + 1)**2
Find v, given that -2/3*v + 2/9*v**2 - 20/9 = 0.
-2, 5
Let d(m) be the third derivative of 0 + 2*m**2 + 0*m - 1/1020*m**6 - 1/255*m**5 + 0*m**3 + 0*m**4. Let d(q) = 0. Calculate q.
-2, 0
Let v(i) be the third derivative of i**5/510 + 11*i**4/204 + 10*i**3/51 - 314*i**2. Determine w, given that v(w) = 0.
-10, -1
Solve 1/3*i**2 + 56/3*i + 784/3 = 0.
-28
Let l(r) = -r**2 - r - 8. Let s be ((-2)/(-6))/((-2)/(-48)). Suppose s*j = 3*j + 60. Let h(n) = -2*n**2 - 2*n - 20. Let d(x) = j*l(x) - 5*h(x). Factor d(m).
-2*(m - 1)*(m + 2)
Let q(t) = t**3 + 15*t**2 + t + 26. Let w be q(-15). Suppose w = 4*f + s + 2*s, 2*s = -2*f + 6. Determine a so that -4/3 + 2*a - 2/3*a**f = 0.
1, 2
Let q = 10/19 + -112/285. Let j(m) be the third derivative of 1/150*m**5 - q*m**4 - 5*m**2 + 0*m + 16/15*m**3 + 0. Find l such that j(l) = 0.
4
Let g be 6/(-3) + 2 - -39. Suppose -6*z + 3 = -g. What is b in -15 - 4*b**3 - z*b**4 + 15 - b**3 + 2*b**2 = 0?
-1, 0, 2/7
Suppose 0*s = -2*s + 12. Suppose -4*p + 5*p - s = 0. Factor -8*d**2 - 2*d**3 - 6*d**3 - 3*d**3 + p*d**4 + d**3 + 8*d.
2*d*(d - 2)*(d + 1)*(3*d - 2)
Let q(b) be the third derivative of b**8/90720 + b**7/11340 - 3*b**5/10 + 5*b**2. Let v(z) be the third derivative of q(z). Factor v(o).
2*o*(o + 2)/9
Let c be ((-12)/(-70))/((-10)/15*9/(-252)). Find o such that 37/5*o**2 + 24*o + 3/5*o**3 + c = 0.
-6, -1/3
Let r = -3695 - -3695. Factor r - 2/3*a + 1/3*a**2.
a*(a - 2)/3
Let c(g) be the second derivative of -5*g**4/12 - 380*g**3/3 - 14440*g**2 + 10*g + 4. Factor c(s).
-5*(s + 76)**2
Let b(z) be the third derivative of -z**7/4200 + z**6/450 - z**5/150 - z**4/24 - 7*z**2. Let o(v) be the second derivative of b(v). Factor o(d).
-(d - 2)*(3*d - 2)/5
Let o(v) be the first derivative of 4*v**5/15 - 44*v**3/9 + 12*v**2 - 32*v/3 - 160. Factor o(u).
4*(u - 2)*(u - 1)**2*(u + 4)/3
Suppose -3*h + 9 + 21 = 0. Suppose 0 = w - 3*w + h. Factor -3*g**5 - g**w - g**4 + g**2 + 4*g**3 - 3*g**4 + 3*g**2.
-4*g**2*(g - 1)*(g + 1)**2
Let v = 398925/7 - 57116. Let t = v + 127. Determine n so that 0*n - 2/7*n**2 + 0 + t*n**3 = 0.
0, 1
Factor 4*s**3 - 3*s**3 - 10*s**3 + 60*s**2 + 2*s**2 + 176*s + s**3 + 40.
-2*(s - 10)*(s + 2)*(4*s + 1)
Suppose -8/3*o**2 + 2/9*o**4 + 80/9*o - 4/9*o**3 - 64/9 = 0. Calculate o.
-4, 2
Let m = 35306/5 - 7038. Let r = m - 23. Suppose -r*d**4 + 0 + 0*d**2 + 4/5*d - 3/5*d**3 = 0. What is d?
-2, 0, 1
Let 13*f - 46*f + 43*f + 5*f**2 = 0. What is f?
-2, 0
Let t be (21*18/252)/((-6)/(-8)). Find w such that -5/4*w - 15/4*w**3 + 5*w**t + 0 = 0.
0, 1/3, 1
Factor 0 + 1/4*k**3 - k**2 + 0*k.
k**2*(k - 4)/4
Let k(x) = -20*x**4 - 36*x**3 + 12*x**2 + 44*x + 16. Let f(d) = 13*d**4 + 24*d**3 - 8*d**2 - 29*d - 10. Let q(y) = -8*f(y) - 5*k(y). Find