*a**5 - 136*a**3 - 20*a - 60 + 65*a**4 - 449*a**3 + 495*a**2 = 0.
-3, -2/7, 2/3, 1
Let i be (11 - 6) + -4 + 2/1. Factor 0*n + 0*n + 5*n**i + 21*n**2 - 20*n**4 - 5*n - n**2.
-5*n*(n - 1)*(n + 1)*(4*n - 1)
Suppose -4*f = -115 + 7. Let u be ((-3)/f)/(1/(-6)). Factor u*k**2 - 2*k + 4/3.
2*(k - 2)*(k - 1)/3
Factor -4/3*t + 2*t**2 + 1/3*t**3 - 8/3 - 1/3*t**4.
-(t - 2)**2*(t + 1)*(t + 2)/3
Let i(a) be the first derivative of -a**3/3 + 129*a**2/4 - 32*a + 9. Factor i(c).
-(c - 64)*(2*c - 1)/2
Suppose -177*w = -183*w + 906. Let f = w - 301/2. Factor -1/4*z**3 + f + z**2 - 5/4*z.
-(z - 2)*(z - 1)**2/4
Let w(n) be the first derivative of n**5/10 - 3*n**4/4 + 5*n**3/6 + 116. Factor w(v).
v**2*(v - 5)*(v - 1)/2
Let s(h) = 3*h**2 - 18*h - 6. Let t(n) = -n**2 - n + 1. Let y(j) = -s(j) - 6*t(j). Factor y(f).
3*f*(f + 8)
Suppose 0*a - 2*s = a + 6, 5*a - 2*s = 6. Let y(z) be the second derivative of -1/48*z**4 + a + 0*z**2 + 0*z**3 - 7*z. Find o such that y(o) = 0.
0
Let i = -42983 + 42983. Find w such that 1/6*w**4 + 0 - 1/2*w**2 + i*w + 1/3*w**3 = 0.
-3, 0, 1
Let i be 3/(-27) + 414/81. Let p(u) be the third derivative of -1/9*u**3 - 1/8*u**4 + 0 - 7/180*u**5 + 0*u + i*u**2. Determine m, given that p(m) = 0.
-1, -2/7
Let q(k) be the third derivative of k**9/60480 - k**8/2520 - k**7/560 - 9*k**5/20 - 29*k**2. Let j(r) be the third derivative of q(r). Factor j(d).
d*(d - 9)*(d + 1)
Let d(s) be the first derivative of -2*s**3/45 + 17*s**2/15 + 28. Factor d(p).
-2*p*(p - 17)/15
Let s(u) = 20*u**2 - 656*u + 24. Let a(g) = -7*g**2 + 218*g - 9. Let l(j) = -8*a(j) - 3*s(j). Let l(c) = 0. What is c?
0, 56
Let i be ((-24)/(-18))/4 - (-85)/(-270). Let b(g) be the second derivative of 0 - 2*g + i*g**4 + 0*g**3 + 0*g**2. What is p in b(p) = 0?
0
Let d = 12903/5 - 25801/10. Factor -3/2 - d*r**2 - 2*r.
-(r + 1)*(r + 3)/2
Let p be (-150)/(-39) + 12/78. Let o = 3 - 1. Factor j - p*j**o + 0*j**3 - 4*j**4 - 3*j**3 + 3*j + 8*j**2 - j**5.
-j*(j - 1)*(j + 1)*(j + 2)**2
Let i(c) be the first derivative of c**6/180 + c**5/20 + c**4/6 + c**3/3 + 8. Let h(a) be the third derivative of i(a). Let h(g) = 0. Calculate g.
-2, -1
Let a(t) be the second derivative of 1/220*t**6 + 0 - 6*t + 1/132*t**4 - 2/165*t**5 + 5/2*t**2 + 0*t**3. Let b(w) be the first derivative of a(w). Factor b(f).
2*f*(f - 1)*(3*f - 1)/11
Let u = -8926 + 17855/2. Factor 0 - 1/2*f + u*f**2 + 2*f**3.
f*(f + 1)*(4*f - 1)/2
Let x = -4500 + 4502. What is d in -2/17*d**3 + 2/17*d**x + 6/17 + 10/17*d = 0?
-1, 3
Solve -68/13*i**4 + 0 - 74/13*i**3 - 16/13*i**2 + 8/13*i - 18/13*i**5 = 0.
-2, -1, 0, 2/9
Let g(c) = 27*c**3 - c**2 + c - 1. Let i be g(1). Let u = 29 - i. Suppose -2*f**2 + 0 - 3*f**u - 1/2*f - 2*f**4 - 1/2*f**5 = 0. Calculate f.
-1, 0
Let i(m) be the first derivative of -4/15*m**3 - 3/25*m**5 - 2*m - 1/3*m**4 + 0*m**2 + 12. Let t(z) be the first derivative of i(z). What is o in t(o) = 0?
-1, -2/3, 0
Let n(p) be the first derivative of 0*p - 2 + 1/4*p**4 + 1/40*p**5 + p**3 - p**2. Let i(a) be the second derivative of n(a). Factor i(g).
3*(g + 2)**2/2
Let o(x) = -x**3 - 48*x**2 + 95*x - 246. Let l be o(-50). Determine w, given that 5/3*w**l + 0 + 0*w + 10/3*w**3 + 5/3*w**2 = 0.
-1, 0
Suppose m = 2*f + 7, -10 = 2*f + 2*f + 2*m. Let o(y) = 4*y**2 + 4*y. Let w(b) = -5*b**2 - 5*b. Let q(j) = f*w(j) - 4*o(j). Factor q(a).
-a*(a + 1)
Let u be 3*((-8)/30)/((-6)/15). Suppose 2 = 3*v - u*f - 1, -4*v + 9 = -f. Factor 2/7*j + 0 - 1/7*j**v - 1/7*j**2.
-j*(j - 1)*(j + 2)/7
Find s, given that -6 + 3*s - 27*s**2 - 28*s**2 - 32*s**2 + 90*s**2 = 0.
-2, 1
Suppose 18*o - 7*o - 11 = 0. Suppose -13 = -6*d - o. Factor 0*z - z**d - 1/2*z**4 + 3/2*z**3 + 0.
-z**2*(z - 2)*(z - 1)/2
Factor -10*v - 4*v**2 - v + 11*v + 0*v**2.
-4*v**2
Factor 0 - 5/2*o**4 - 80*o + 15*o**3 + 0*o**2.
-5*o*(o - 4)**2*(o + 2)/2
Factor -3/7*f**2 + 4*f - 9/7.
-(f - 9)*(3*f - 1)/7
Let d(h) be the first derivative of 31250*h**6/3 + 25400*h**5 + 16629*h**4 + 2032*h**3/3 + 8*h**2 + 335. Suppose d(i) = 0. Calculate i.
-1, -2/125, 0
Let 76/7*x**2 - 4/7*x**4 - 72/7 - 4*x**3 + 4*x = 0. What is x?
-9, -1, 1, 2
Suppose 5*s = -8*o + 4*o + 46, -2*o - 5*s = -18. Solve -o*c**3 - c + 10*c**3 + 8*c**2 - 3*c = 0 for c.
0, 1
Let h = -15 + 18. Suppose x = 2, -h*x - 4 + 13 = l. Factor -2 - 3*p - 6*p - 3*p + 4*p**l + 10.
4*(p - 1)**2*(p + 2)
Suppose -q = -0 - 3. Suppose -11 = -q*h + 4. Determine u so that 0 - 6*u - u**2 + 6 - 4 + h*u**2 = 0.
1/2, 1
Let t(v) be the first derivative of -9*v**4/4 + 508*v**3 - 507*v**2/2 - 185. Suppose t(y) = 0. Calculate y.
0, 1/3, 169
Let q(a) be the third derivative of -a**5/90 - 13*a**4/18 - 25*a**3/9 - 3*a**2 - 4. Factor q(v).
-2*(v + 1)*(v + 25)/3
Let r(h) be the first derivative of h**4/22 + 2*h**3/33 - 66. Let r(z) = 0. Calculate z.
-1, 0
Factor -10*z**4 - 12*z**4 - 4*z**5 + 51*z**4 - 21*z**4.
-4*z**4*(z - 2)
Suppose -23 = 2*i + 5. Let s be (-180)/(-189) + 4/i. Factor -2/3*p**2 + 2/3*p**3 - s*p + 2/3.
2*(p - 1)**2*(p + 1)/3
Suppose p**4 + 357*p**2 - 351*p**2 + 3 - 11 + 4*p - 5*p**3 = 0. What is p?
-1, 2
Factor -13*h**2 - 8 + 50*h**2 - 16 - 20*h - 17*h**2 - 16*h**2.
4*(h - 6)*(h + 1)
Let r be (-10)/(-15)*108/8. Let 2*i + 4*i + 3*i**2 + r + 0 - 6*i**2 = 0. What is i?
-1, 3
Let t(o) be the third derivative of -o**10/30240 - o**9/5040 - 5*o**4/8 + 12*o**2. Let i(j) be the second derivative of t(j). Suppose i(r) = 0. What is r?
-3, 0
Let t(s) be the first derivative of -s**4/16 - 13*s**3/6 + 29*s**2/8 + 27*s/2 + 396. Solve t(m) = 0 for m.
-27, -1, 2
Let p = 324/1903 + 2/173. Factor -150/11*u - 30/11*u**2 - p*u**3 - 250/11.
-2*(u + 5)**3/11
Let 0*m + 72/7*m**3 - 2*m**4 + 0*m**2 + 0 = 0. What is m?
0, 36/7
Let i(m) be the first derivative of m**6/3 - 22*m**5/5 - 490. Factor i(s).
2*s**4*(s - 11)
Suppose 2*q - a + 1 = 0, -4*a = q + 6 - 19. Let v(x) = -x**2 - x + 4. Let k(t) = -t**2 - t. Let y(o) = q*k(o) + v(o). Suppose y(h) = 0. What is h?
-2, 1
Let m(w) be the third derivative of 0*w + 0 - 1/15*w**5 + 5*w**2 + 1/6*w**4 + 1/90*w**6 + 1/6*w**3. Let a(k) be the first derivative of m(k). Factor a(b).
4*(b - 1)**2
Suppose r = 5*x - 200, 175 = 5*x + r + 3*r. Let c be 4 - -25*((-45)/x - -1). Factor 4/13 - c*b**2 + 2/13*b.
-2*(b - 2)*(b + 1)/13
Let j be (120/(-270))/(-3*(-6)/(-81)). Factor -2/5*v**j + 2/5 + 0*v.
-2*(v - 1)*(v + 1)/5
Factor -504/5*q**3 - 15 - 126*q - 48/5*q**4 - 1443/5*q**2.
-3*(q + 5)**2*(4*q + 1)**2/5
Let b(z) be the first derivative of -5*z**6/6 + 8*z**5 - 125*z**4/4 + 190*z**3/3 - 70*z**2 + 40*z - 266. Find j, given that b(j) = 0.
1, 2
Let d(h) = -80*h**3 - 110*h**2 + 225*h - 35. Let m(l) = 9*l**3 + 12*l**2 - 25*l + 4. Let s(k) = -4*d(k) - 35*m(k). Solve s(g) = 0 for g.
-5, 0, 1
Let q(a) be the third derivative of a**11/2661120 + 7*a**5/60 + 24*a**2. Let v(j) be the third derivative of q(j). Factor v(f).
f**5/8
Let f = -19 + 15. Let i be 3*-1 - (f - 6). Factor -r**4 - r**2 + i*r**4 + r**3 - r - 5*r**4.
r*(r - 1)*(r + 1)**2
Let r be ((-24)/10)/((-3)/10). Let j = r - 6. Determine g so that -g**j + 0 - 5*g + 0*g**2 + 4*g + 2 = 0.
-2, 1
Find a, given that 2/5*a**4 - 42/5*a**3 - 142/5*a - 138/5*a**2 - 48/5 = 0.
-1, 24
Let y be (-468)/(-610) + 54/1647. What is w in 2/5*w**5 + 2/5*w**3 + 0*w + 0*w**2 + 0 - y*w**4 = 0?
0, 1
Factor -23/3*s - 20/3*s**2 + 4/3*s**3 - 2.
(s - 6)*(2*s + 1)**2/3
Let k(j) be the first derivative of -j**3/12 + 3*j**2/4 - 5*j/4 - 47. Find i, given that k(i) = 0.
1, 5
Let o be (-476)/(-170) + 4/(-5). Let h = 2 + -2. Let 8/7*m + h + 2/7*m**o = 0. What is m?
-4, 0
Suppose -3*c + 3*a + 3 + 9 = 0, 3*c + 8 = -a. Let h be (-4 + 24/6)/c. Suppose -2/3*s**2 + h + 2/3*s**3 + 2/9*s - 2/9*s**4 = 0. What is s?
0, 1
Let x(b) = -2*b**2 + 71*b - 455. Let l be x(27). Let g(c) be the first derivative of 2/15*c**3 - 1/10*c**l - 2/5*c + 1/5*c**2 - 13. Solve g(h) = 0.
-1, 1
Let l(c) be the third derivative of 1/8*c**4 - 1/60*c**5 - 1/3*c**3 + 0 + 0*c + 35*c**2. Factor l(v).
-(v - 2)*(v - 1)
Let x(l) = 11*l**2 + 5*l - 4. Let q(u) = 21*u**2 + 9*u - 8. Let b(h) = 6*q(h) - 11*x(h). Factor b(f).
(f - 1)*(5*f + 4)
Let m(k) = 2*k**3 + 2*k**2 - k. Let s(y) = -33*y**3 - 30*y**2 + 36*y + 30. Let w(z) = -3*m(z) - s(z). Factor w(d).
3*(d + 1)**2*(9*d - 10)
Let x(n) = 26*n**2 - 122*n - 252. Let u(p) = -11*p**2 + 49*p + 101. Let m(q) = -12*u(q) - 5*x(q). Find l 