0, -6*h + 9*h + 2 = v. Let -12/5*j**v + 0 + 4/5*j + 3/5*j**3 + j**4 = 0. Calculate j.
-2, 0, 2/5, 1
Suppose -2*q = 17*q + 22*q - 123. Determine g, given that 0*g + 0 + 8/7*g**2 - 12/7*g**4 - 4/7*g**q = 0.
-1, 0, 2/3
Let q be (560/1470)/(2/3). Suppose 144/7 + q*c**2 + 48/7*c = 0. What is c?
-6
Factor -33 - 2*g + 31 - 113*g + 3*g**5 + 29 - 9*g**4 - 18*g**3 + 78*g**2 + 34*g.
3*(g - 3)*(g - 1)**3*(g + 3)
Let j(h) be the third derivative of h**7/525 + h**6/60 + h**5/30 - h**4/12 - 2*h**3/5 - 166*h**2. Suppose j(o) = 0. Calculate o.
-3, -2, -1, 1
Let c = -63 + 23. Let l be ((-12)/c)/(6/55). Let 5/4*j**2 + l*j + 1/2 = 0. Calculate j.
-2, -1/5
Let l(a) = 5*a**5 - 18*a**4 + 37*a**3 - 34*a**2 + 14*a. Let u(b) = 81*b**5 - 288*b**4 + 591*b**3 - 543*b**2 + 225*b. Let h(f) = -33*l(f) + 2*u(f). Factor h(p).
-3*p*(p - 2)**2*(p - 1)**2
Let k = 2402/11 - 218. Let g = 10705 + -117753/11. Suppose -k*h**3 + 0 + 2/11*h**2 + g*h**4 + 0*h = 0. What is h?
0, 1
Let z = -76 - -54. Suppose -23 = 5*i - 3. Let l(c) = -c**2 + 6. Let f(r) = 5*r**2 - 31. Let a(y) = i*f(y) + z*l(y). Solve a(m) = 0 for m.
-2, 2
Let m = -8339 - -25021/3. Find y, given that m*y**3 + 0*y + 0 + 2/3*y**4 + 0*y**2 - 2/3*y**5 = 0.
-1, 0, 2
Let l(s) = 9*s**2 + 23*s + 10. Let z be l(-2). Factor -2/7*j**3 + 0*j + z - 2/7*j**2.
-2*j**2*(j + 1)/7
Let q(v) be the first derivative of -4*v**5/15 + 5*v**4 - 52*v**3/9 - 10*v**2 + 56*v/3 + 243. Solve q(w) = 0.
-1, 1, 14
Let w(o) be the third derivative of 5*o**6/24 - 37*o**5/30 + 47*o**4/24 + o**3/3 + 98*o**2 + 1. Factor w(s).
(s - 2)*(s - 1)*(25*s + 1)
Suppose -2*i + 8 = -47*y + 46*y, 2 = 2*i + 2*y. Factor 0 + 45/4*k**i + 21/4*k**5 - 3/4*k**2 - 3/2*k - 57/4*k**4.
3*k*(k - 1)**3*(7*k + 2)/4
Let t be 12 - (-5 + (-315)/(-21)). Let 0 + 5/3*l**4 - 7/3*l**5 - 2/3*l + 3*l**3 - 5/3*l**t = 0. Calculate l.
-1, -2/7, 0, 1
Let n(v) be the third derivative of -4*v**6/15 - 68*v**5/5 - 67*v**4/4 - 25*v**3/3 - 5*v**2 + 24*v. Factor n(m).
-2*(m + 25)*(4*m + 1)**2
Let m(o) be the second derivative of o**4/12 - o**3/6 - 9*o - 4. Factor m(n).
n*(n - 1)
Let p(i) be the third derivative of i**7/70 - i**5/5 - 31*i**2 - 1. Factor p(j).
3*j**2*(j - 2)*(j + 2)
Let z(h) be the first derivative of -6/35*h**5 - 8 + 0*h + 1/7*h**4 - 5/21*h**6 + 0*h**3 + 0*h**2. Factor z(p).
-2*p**3*(p + 1)*(5*p - 2)/7
Let b(p) be the first derivative of 10*p**3 + 55*p**2/2 + 198. Factor b(f).
5*f*(6*f + 11)
Factor -9800/3*n - 80/3*n**4 - 5488/3 + 1010/3*n**3 + 2/3*n**5 - 3220/3*n**2.
2*(n - 14)**3*(n + 1)**2/3
Let v(g) = g**2 - 2*g + 3. Let a be v(0). Let h(l) be the third derivative of -1/78*l**4 + 1/780*l**6 - 6*l**2 + 0*l + 0*l**a + 0 + 1/390*l**5. Factor h(i).
2*i*(i - 1)*(i + 2)/13
Let d(z) = -z**3 - 5*z**2 - 4*z + 4. Let y be d(-4). Let n(v) = -v**3 + 4*v**2 + 2. Let a be n(y). Factor 2*b**3 + b**4 - a*b**4 - 3*b**2 + 4*b**3 - 2*b**4.
-3*b**2*(b - 1)**2
Let y(w) be the first derivative of -5 - 1/4*w**5 + 2*w + 5/6*w**3 - 1/6*w**4 + w**2. Let c(r) be the first derivative of y(r). Factor c(u).
-(u - 1)*(u + 1)*(5*u + 2)
Let s(b) be the second derivative of -b**4/6 - 18*b**3 - 729*b**2 + 3*b. Factor s(f).
-2*(f + 27)**2
Let t be 643/1 - (-2 - 1). Factor 343*m**2 - t*m**2 + 5*m**3 + 333*m**2.
5*m**2*(m + 6)
Factor 4/3 + 62/3*n - 32/3*n**2.
-2*(n - 2)*(16*n + 1)/3
Let j be 4/6 + 28/12. Solve 8 - 2*t**j + 6*t + 13 + 0*t - 25 = 0.
-2, 1
Determine u so that 2/5 + u**2 - 11/5*u = 0.
1/5, 2
Let h(i) be the third derivative of i**9/181440 + i**8/30240 - i**7/2160 + i**6/540 - 2*i**5/5 - 29*i**2. Let o(w) be the third derivative of h(w). Factor o(c).
(c - 1)**2*(c + 4)/3
Find p such that 0*p - 56*p - 28*p**2 - 4*p**5 + 2*p**4 + 32*p + 10*p**4 + 12*p**3 = 0.
-1, 0, 2, 3
Let u(f) be the second derivative of 7*f**6/15 - 33*f**5/10 + 3*f**4 + 8*f**3/3 + 155*f. Suppose u(d) = 0. What is d?
-2/7, 0, 1, 4
Let x(p) be the first derivative of -3*p**4/4 + 5*p**3/2 + 69*p**2/4 + 15*p + 137. Factor x(n).
-3*(n - 5)*(n + 2)*(2*n + 1)/2
Let d be 216/(-132)*(-38)/114. Factor -4/11 - 2/11*l**3 + d*l + 0*l**2.
-2*(l - 1)**2*(l + 2)/11
Let z = -7573 + 340873/45. Let a = z - 14/9. Suppose a*m**4 + 2/5*m**3 - 2/5*m**2 + 0 - 2/5*m = 0. Calculate m.
-1, 0, 1
Let q(w) be the second derivative of w**4/60 - w**3/15 - 3*w**2/2 - 77*w. Determine i so that q(i) = 0.
-3, 5
Let h be (-3)/((-117)/489) + -3*(-42)/(-18). Factor -2/13*p**2 - h + 24/13*p.
-2*(p - 6)**2/13
Let a(t) be the third derivative of t**6/900 - t**5/100 + 3*t**3/2 + 3*t**2. Let w(n) be the first derivative of a(n). What is j in w(j) = 0?
0, 3
Let p = -6124/15 + 2043/5. Factor -2/3 - v + p*v**3 + 0*v**2.
(v - 2)*(v + 1)**2/3
Factor -6/5*q**2 + 6/5*q**4 - 3/5*q + 3/5*q**5 + 0 + 0*q**3.
3*q*(q - 1)*(q + 1)**3/5
Let n = 15119/6310 + 5/1262. Determine r so that 1/5*r**3 + 8/5 + 6/5*r**2 + n*r = 0.
-2
Let y(d) = d**5 - 2*d**4 - 17*d**3 + 15*d**2 + 26*d + 11. Let k(l) = -l**3 + l**2 - l - 1. Let t(i) = 28*k(i) - 4*y(i). Let t(s) = 0. Calculate s.
-2, -1, 3
Let f(n) be the second derivative of -n**6/6 - 21*n**5/10 - 17*n**4/4 - 7*n**3/3 - 571*n. Factor f(q).
-q*(q + 1)*(q + 7)*(5*q + 2)
Let y = -99 + 105. Let z(s) = 3*s**3 + 6*s**2 + 3*s - 2. Let o(m) = 10*m**3 + 18*m**2 + 8*m - 7. Let t(q) = y*o(q) - 21*z(q). Factor t(k).
-3*k*(k + 1)*(k + 5)
Let 3/5*g**4 + 3*g**3 - 12/5 - 3*g + 9/5*g**2 = 0. Calculate g.
-4, -1, 1
Factor -26/21*s**2 + 0 + 4/21*s**3 + 2/21*s**4 + 20/21*s.
2*s*(s - 2)*(s - 1)*(s + 5)/21
Let w(g) be the third derivative of -g**7/525 - g**6/75 - g**5/150 + g**4/10 + 116*g**2. Factor w(m).
-2*m*(m - 1)*(m + 2)*(m + 3)/5
Let z(w) = -14*w**4 - 9*w**3 + 13*w**2. Let j(s) = 7*s**4 + 4*s**3 - 6*s**2. Let f = -53 - -40. Let i(y) = f*j(y) - 6*z(y). What is n in i(n) = 0?
0, 2/7
Let n(y) be the second derivative of 0*y**3 + 0*y**2 - 3*y + 0 - 1/4*y**4 - 3/20*y**5. Let n(a) = 0. What is a?
-1, 0
Let k(z) be the second derivative of -z**5/4 + 40*z**4/3 + 5*z**3/6 - 80*z**2 + 3*z - 96. Factor k(a).
-5*(a - 32)*(a - 1)*(a + 1)
Let f = -15343/4 - -3837. Find l such that -1 - f*l**2 - 25/4*l**3 + 4*l = 0.
-1, 2/5
Determine f so that 38*f**2 - 680 + 680 - 24*f - 3*f**4 - f**3 = 0.
-4, 0, 2/3, 3
Suppose 3*c - 298 + 304 = -3*p, 3*p = -4*c - 3. Factor 9/5*b + 9/5*b**4 - 3/5*b**5 - 6/5*b**2 - 6/5*b**c - 3/5.
-3*(b - 1)**4*(b + 1)/5
Let f be 11 - (2 + 1 + -1). Suppose 0 = 5*p - 5, -p + 3 + 6 = 4*l. Let f*h**2 + 8 - 3*h - 6*h**l - 9*h + h**2 = 0. What is h?
1, 2
Let p(s) be the third derivative of 0*s - 1/12*s**5 + 55/6*s**3 - 4*s**2 - 25/12*s**4 + 0. Determine l so that p(l) = 0.
-11, 1
Let o(c) be the third derivative of -c**6/120 - 3*c**5/20 - c**4 - 10*c**3/3 - 165*c**2. Factor o(q).
-(q + 2)**2*(q + 5)
Let a be (-3 - (-3 - -1))*-5. Let r(m) = 2*m - 8. Let z be r(a). Factor -z*i**2 + 3*i - i**4 + 3*i + 5*i**2 - 4*i.
-i*(i - 2)*(i + 1)**2
Let t(d) be the second derivative of d**5/120 + d**4/9 + 17*d**3/36 + 5*d**2/6 + 10*d. Factor t(a).
(a + 1)*(a + 2)*(a + 5)/6
Let z(m) be the first derivative of -105/2*m**2 - 45*m - 9 + 3*m**5 + 15/2*m**4 - 50/3*m**3 - 5/6*m**6. Let z(v) = 0. Calculate v.
-1, 3
Let l(j) be the second derivative of 0 + 9/2*j**2 - 1/2*j**3 + 3/20*j**5 - 18*j - 3/4*j**4. Factor l(a).
3*(a - 3)*(a - 1)*(a + 1)
Let u = 42 + -27. Let o = u - 11. Solve 4 + o*h + 2*h**2 + 3 - 5 = 0 for h.
-1
Suppose -11*y = 46*y - 9*y. Factor 0*n**2 + y - 1/4*n**3 + n.
-n*(n - 2)*(n + 2)/4
Solve -1/8*l**3 - 23/8*l**2 + 49/8*l - 25/8 = 0 for l.
-25, 1
Let q = -24 - -32. Factor q*x**2 - x**3 + 0*x + x + 3*x + 5*x**3.
4*x*(x + 1)**2
Let o(f) be the third derivative of -f**7/25200 + f**6/1800 - f**5/400 + f**4/12 - 2*f**2. Let p(r) be the second derivative of o(r). Factor p(g).
-(g - 3)*(g - 1)/10
Let m be (-71 - -84) + 189/(-15). Suppose 2/5*a**2 - 14/5*a**3 + 16/5*a + 8/5 - m*a**5 - 2*a**4 = 0. Calculate a.
-2, -1, 1
Let o(p) be the first derivative of p**4/4 - p**3 - 3*p**2 + 8*p - 85. Factor o(t).
(t - 4)*(t - 1)*(t + 2)
Let b(h) be the third derivative of -h**7/42 + h**6/3 + 2*h**5/3 - 20*h**4 - 120*h**3 + 346*h**2. What is n in b(n) = 0?
-2, 6
Suppose 66*q + 5*q = -34*q + 210. Factor 0 + 0*h**q + 5/2*h**3 + 0*h.
5*h**3/2
Factor k**3 - 3*k**3 - 5 - 22*k + 18*k**2 + 0*k**3 + 0*k**2 - 37.
-2*(k - 7)*(k - 3)*(k + 1)
Factor 25*s + 12*s + 3*s**2 + 38*s + s**2 - 204 - 19*s.
4*(s - 3)*(s + 17