) - 2*n(o). Let t be j(5). Factor 0 - t*h**2 + h**2 + 3*h - 6 + 6*h**2.
3*(h - 1)*(h + 2)
Find m, given that 5 + 17/3*m**2 - 31/3*m - 1/3*m**3 = 0.
1, 15
Let z(d) = d**2 + 15*d - 17. Let f be z(-16). Let o(m) = -3*m**3 + m + 1. Let l be o(f). Factor 34*p**3 + 2*p**l - 6*p - 52*p**4 - 9*p**2 + 31*p**4.
-3*p*(p - 1)**2*(7*p + 2)
Let l(i) = 4*i**3 - 10*i**2 + 35*i + 72. Let f(r) = -3*r**3 + 7*r**2 - 23*r - 48. Let j(o) = -7*f(o) - 5*l(o). Factor j(y).
(y - 4)*(y + 2)*(y + 3)
What is j in 4*j**4 + 2*j**3 + j**4 + 18 - 10*j**3 - 7*j**3 - 15*j**2 + 15*j - 8*j**4 = 0?
-3, -2, -1, 1
Let m(p) = -p**2 + 6*p + 22. Let q be m(7). Let v be 4/(-6*(-5)/q). Factor 0 - 1/5*r**v - 2/5*r.
-r*(r + 2)/5
Suppose 4*h - 2*a + a - 7 = 0, 0 = -4*h - 5*a - 11. Suppose 0 = -4*f + 3*k + h, 6 = 4*f - 5*f + 2*k. What is j in 1 - j - 3*j**2 - f*j + 3*j + 4*j**2 = 0?
1
Let x be ((-26)/(-312))/((-6)/(-48)). Find l, given that -x*l**2 - 2/3 - 4/3*l = 0.
-1
Factor 0 + 1/6*q**2 - 1/4*q**3 + 0*q + 1/12*q**4.
q**2*(q - 2)*(q - 1)/12
Let b(u) be the first derivative of -2*u**6/9 + 2*u**4 + 32*u**3/9 + 2*u**2 - 56. Factor b(v).
-4*v*(v - 3)*(v + 1)**3/3
Let q(s) be the second derivative of -4*s**6/15 - 7*s**5/5 - 7*s**4/3 - 4*s**3/3 + 4*s - 9. Let q(n) = 0. What is n?
-2, -1, -1/2, 0
Factor -12*v**2 - 20*v**2 + 11 - 11*v**2 - 10*v**2 - 10*v + 52*v**2.
-(v - 1)*(v + 11)
Let g(b) be the second derivative of -b**6/300 + 3*b**5/200 - b**4/60 + 104*b. Let g(o) = 0. Calculate o.
0, 1, 2
Let x(f) be the first derivative of f**3/4 + 3*f**2/2 - 23. Factor x(s).
3*s*(s + 4)/4
Let l = 1307/874 + 2/437. Let b(c) be the third derivative of 0 + 0*c + 1/20*c**5 + l*c**3 + 1/2*c**4 + c**2. Factor b(n).
3*(n + 1)*(n + 3)
Factor -2/9*q**4 - 968/9 - 52/9*q**3 - 142/3*q**2 - 1144/9*q.
-2*(q + 2)**2*(q + 11)**2/9
Let p be ((-7)/105)/(1/(-3)). Let v be 48/70 - (-12 - 1290/(-105)). Suppose 0 - p*f**5 + 1/5*f**4 - f**2 + v*f + 3/5*f**3 = 0. What is f?
-2, 0, 1
Suppose 50*k - 119 = 9*k + 4. Factor -2*i**2 + 0 + 2/3*i**k + 4/3*i.
2*i*(i - 2)*(i - 1)/3
Let m = -161 - -163. Let h(f) = 2*f - 2. Let z be h(4). Find g such that -10*g - 3*g**3 + 5*g + z*g - 4*g**2 - m*g = 0.
-1, -1/3, 0
Factor 1296 + z**2 + 144*z - 4*z**2 + 7*z**2 + 0*z**2.
4*(z + 18)**2
Let z = 28/39 + 5/156. Find t, given that -z*t**2 + 3/4*t + 3/4 - 3/4*t**3 = 0.
-1, 1
Let v(u) be the second derivative of -3/20*u**5 + 0 - 10*u + 1/14*u**7 + 1/10*u**6 + 0*u**3 + 0*u**2 - 1/4*u**4. Suppose v(o) = 0. What is o?
-1, 0, 1
Let r(c) be the third derivative of 5*c**8/3696 - c**7/1155 - c**6/264 + c**5/330 - 60*c**2 - c. Let r(b) = 0. Calculate b.
-1, 0, 2/5, 1
Let r be 3/18*532*(-3)/(-2). Let j = r + -397/3. Let -j*m**2 + 2/3*m**4 - 2/3*m + 2/3*m**3 + 0 = 0. Calculate m.
-1, 0, 1
Let a(d) = -d**2 - 15*d - 2. Let p be a(-6). Let c = -47 + p. Solve 4/3*b + 0*b**2 - 53/3*b**3 + 0 + 49/3*b**c + 0*b**4 = 0.
-1, -2/7, 0, 2/7, 1
Let p be (-3)/(-128 + -7)*1/2. Let h(l) be the third derivative of 0 + 0*l + 1/360*l**6 + l**2 + 0*l**3 + 1/72*l**4 + p*l**5. What is b in h(b) = 0?
-1, 0
Suppose -2*r = r - 45. Let y be 3/(-2) - 20/r*-3. Find s, given that -1/2*s**5 - y*s**4 - 5*s**2 - 1/2 - 5*s**3 - 5/2*s = 0.
-1
Suppose -2*s - 162*r + 6 = -159*r, -4*r = 5*s - 15. Let o(h) be the second derivative of 9*h + 0*h**2 + 1/12*h**4 - 1/18*h**s + 0. Factor o(j).
j*(3*j - 1)/3
Suppose 0 = 967*c - 861*c - 212. Find q such that 8/11 + 6/11*q - 2/11*q**c = 0.
-1, 4
Let r(i) = -i**5 - i**4 - 3*i + 1. Let f(s) = -2*s**5 - 6*s**4 - 16*s**3 + 8*s**2 - 6*s - 2. Let w(h) = -f(h) + 6*r(h). Solve w(c) = 0 for c.
-2, -1, 1
Let a(s) = -2*s**2 + 6*s + 363. Let o be a(15). Factor 1 + 1/3*u**o + 1/3*u**2 - 5/3*u.
(u - 1)**2*(u + 3)/3
Let q(g) be the second derivative of g**4/78 - 32*g**3/13 + 41*g - 7. Factor q(w).
2*w*(w - 96)/13
Factor 2/3*g**3 - 2/3*g + 10/3*g**2 - 10/3.
2*(g - 1)*(g + 1)*(g + 5)/3
Let a = -485/18 + 163/6. Let b(j) be the first derivative of -4/3*j**2 - 2*j - a*j**3 - 10. Suppose b(z) = 0. Calculate z.
-3, -1
Let t(z) be the first derivative of 1/30*z**3 + 4 + 0*z**4 + 0*z**2 - 1/100*z**5 + 4*z. Let r(m) be the first derivative of t(m). Factor r(n).
-n*(n - 1)*(n + 1)/5
Let p(r) = -3*r**3 + 3*r**2 + 11*r + 2. Let a(d) = 1 + 18*d - 1 - 17*d - d**3. Let h(g) = -2*a(g) + p(g). Let f(l) be the first derivative of h(l). Factor f(z).
-3*(z - 3)*(z + 1)
Factor 9357 + 34000*m**3 + 127824 + 393040*m + 1360*m**4 + 196903 + 173400*m**2 + 1140*m**4.
4*(5*m + 17)**4
Let u(x) = x**2 + 16*x + 3. Let o be u(-17). Suppose -5*v + 4*k + o = 2*k, -7 = -v + k. Find z, given that 1/2*z**v + 2*z + 2 = 0.
-2
Let f(s) = -s**2 - 17*s + 16. Let b be f(-19). Let c be (-29)/b + (-16)/(-88). Determine p so that -c*p**2 - 81/2*p**4 + 0*p + 27/2*p**3 + 81/2*p**5 + 0 = 0.
0, 1/3
Let q(r) be the third derivative of -11*r**7/42 + 7*r**6/12 - r**5/4 - 6*r**2 + 6*r. Find n, given that q(n) = 0.
0, 3/11, 1
Let a(s) be the second derivative of -s**7/1260 - s**6/120 - s**5/30 - s**4/4 - 3*s. Let q(j) be the third derivative of a(j). Factor q(d).
-2*(d + 1)*(d + 2)
Let o(q) be the first derivative of 1/9*q**3 + 1/54*q**4 + 2*q + 0*q**2 + 2. Let d(w) be the first derivative of o(w). Factor d(x).
2*x*(x + 3)/9
Let n = -8/375 - -208/375. Determine h so that 0*h**2 + 0 + 0*h - n*h**3 - 2/5*h**4 + 2/15*h**5 = 0.
-1, 0, 4
Let b = -18/83 - -155/332. Let a(i) be the first derivative of 1/2*i**3 + 3/8*i**2 - 4 - b*i - 1/2*i**4. Determine x so that a(x) = 0.
-1/2, 1/4, 1
Let d(f) = -f**3 - 15*f**2 + 36*f + 39. Let a be d(-17). Suppose 0 = -c + 5*c - 20. Factor j**2 + 15 - 14*j**2 - 2*j**2 + c*j**3 - a*j.
5*(j - 3)*(j - 1)*(j + 1)
Let k(b) = b**3 + 54*b**2 - 559*b - 72. Let h be k(9). What is u in h - 1/4*u**3 + 1/2*u + 1/4*u**2 = 0?
-1, 0, 2
Suppose 9*l - 351 + 351 + 0*l + 101*l + 5*l**2 = 0. Calculate l.
-22, 0
Factor 1/2 - 5/4*r - r**3 - 11/4*r**2.
-(r + 1)*(r + 2)*(4*r - 1)/4
Factor 27/2*k**5 + 675*k**4 + 16420*k**2 + 9090*k**3 + 10560*k + 2304.
(k + 24)**2*(3*k + 2)**3/2
Let x be (-66)/(-22) + 0 + 13 + 0. Let j be 3/4*x/15. Let -2*u - 6/5 - j*u**2 = 0. Calculate u.
-3/2, -1
Let 339*l**2 + 301*l**2 + 241*l**2 - 1028*l**2 - 3*l**3 = 0. What is l?
-49, 0
Let q(f) = 124*f - 118. Let j be q(1). Let m(b) be the second derivative of 1/15*b**j + 0 - 10*b - 1/4*b**2 - 1/3*b**3 + 1/10*b**5 - 1/8*b**4. Factor m(z).
(z - 1)*(z + 1)*(2*z + 1)**2/2
Let q(x) be the first derivative of x**5/30 - x**4/24 - x**3/2 - 11*x**2/12 - 2*x/3 - 46. Factor q(z).
(z - 4)*(z + 1)**3/6
Let f(y) be the second derivative of 1/150*y**5 - 1/2*y**2 - 3*y + 0 + 0*y**3 - 1/300*y**6 + 1/30*y**4. Let n(q) be the first derivative of f(q). Factor n(z).
-2*z*(z - 2)*(z + 1)/5
Let 41*k - 6634*k**2 + 47*k - 192 + 6638*k**2 = 0. Calculate k.
-24, 2
Let n(l) be the first derivative of 2*l**3/21 - 6*l**2 - 176*l/7 - 91. Factor n(j).
2*(j - 44)*(j + 2)/7
Let t(o) be the third derivative of o**7/6300 + 4*o**3/3 + 15*o**2. Let w(i) be the first derivative of t(i). Factor w(r).
2*r**3/15
Let b(j) be the second derivative of j**7/14 + 3*j**6/5 + 9*j**5/20 - 5*j**4/2 + 247*j. Factor b(x).
3*x**2*(x - 1)*(x + 2)*(x + 5)
Let w(z) be the third derivative of z**8/10080 - z**7/630 + 13*z**5/20 - 44*z**2 + 1. Let t(g) be the third derivative of w(g). Solve t(p) = 0.
0, 4
Suppose -24*x + 9*x + 60 = 0. Determine h so that 2*h**4 - 3*h**3 + 6*h**2 - 10*h**4 + 5*h**x = 0.
-2, 0, 1
Let v(s) = -2*s**4 - 8*s**3 + 8*s**2 + 8*s - 12. Let m(l) = -l**4 + l**3 + l**2 - l + 1. Let f(t) = 6*m(t) + v(t). Let f(j) = 0. What is j?
-1, 3/4, 1
Let j(z) be the first derivative of -7*z**4/2 - 4*z**3 + z**2 - 23. Factor j(s).
-2*s*(s + 1)*(7*s - 1)
Let z(m) = 10*m**3 + m**2 + m - 2. Let y be z(1). Suppose n - y = -7. Find b such that -78 + 81 - 3*b**3 - 3*b - n*b**2 + 6*b = 0.
-1, 1
Let f(d) be the third derivative of -d**7/280 + d**5/40 + 2*d**3 - 25*d**2. Let k(y) be the first derivative of f(y). Solve k(s) = 0 for s.
-1, 0, 1
Let x = 8447/40 - 211. Let f(d) be the third derivative of x*d**6 + 7*d**2 - 1/10*d**5 + 0 + 0*d**3 - 1/14*d**7 + 0*d + 0*d**4. Factor f(s).
-3*s**2*(s - 1)*(5*s - 2)
Factor 441/2*l**2 - 21609/2*l - 3/2*l**3 + 352947/2.
-3*(l - 49)**3/2
Let r(p) be the second derivative of -25*p**5/4 + 225*p**4/4 - 405*p**3/2 + 729*p**2/2 + 3*p - 2. Let r(k) = 0. Calculate k.
9/5
Dete