+ 432/5 = 0.
1, 6
What is n in 100/13*n + 24/13*n**3 - 16/13 + 18/13*n**4 - 166/13*n**2 = 0?
-4, 1/3, 2
Let x = 273 - 271. Let h(i) be the third derivative of 1/30*i**4 + 0*i + 3*i**x + 0 - 1/100*i**5 - 1/30*i**3. Solve h(l) = 0.
1/3, 1
What is k in 21/2 + 3/4*k**2 + 27/4*k = 0?
-7, -2
Let i be 4/3*-3 + 0. Let b be ((-4)/i)/(4/56). Suppose -2*l**5 + 2*l**4 + 6*l**3 + 12*l - b*l + 2 - 4*l**2 - 2*l**3 = 0. Calculate l.
-1, 1
Factor -8/5 - 2*f**2 - 2/5*f**3 - 16/5*f.
-2*(f + 1)*(f + 2)**2/5
Find h, given that 0 + 2/3*h**3 + 20/9*h + 34/9*h**2 = 0.
-5, -2/3, 0
Suppose 0 = -3*d + 5*b - 20, 4*b - 16 = 75*d - 79*d. Factor 0*f**3 + d + 1/5*f**4 + 2/5*f - 3/5*f**2.
f*(f - 1)**2*(f + 2)/5
Let i = 10 + 4. Suppose 16 = 3*n - i. Factor 5*d - 3*d**4 - 8 - 110*d**3 + 100*d**3 + 5*d**5 + 3 - 2*d**4 + n*d**2.
5*(d - 1)**3*(d + 1)**2
Let f(l) = -l**3 - 5*l**2. Let p(h) = h**2 - 6*h + 6. Let m(z) = -z + 1. Let i(q) = 6*m(q) - p(q). Let c(g) = f(g) - 4*i(g). Factor c(b).
-b**2*(b + 1)
Let l = -128849/3 + 42950. Suppose -1/3*z - l*z**2 + 0 = 0. Calculate z.
-1, 0
Solve -4*q**2 + 11476*q - 616 - 22845*q + 11469*q = 0.
11, 14
Factor 158/3*t - 3200/3*t**3 + 2/3 + 3040/3*t**2.
-2*(t - 1)*(40*t + 1)**2/3
Solve 65*p**2 - 48 + 34*p**3 - 20*p**4 + 6*p**3 + 16*p**4 - 181*p**2 + 128*p = 0.
1, 2, 6
Determine o so that -864 - 914*o + 498*o**2 - 614*o**4 + 206*o**4 + 843*o**3 + 48*o**5 - 526*o = 0.
-3/4, 2, 4
Let d(h) be the second derivative of -h**6/480 - h**5/32 + 3*h**4/16 + 11*h**3/6 + 31*h. Let t(u) be the second derivative of d(u). Factor t(f).
-3*(f - 1)*(f + 6)/4
Let w = 72 + -67. Suppose -w*r + 9 = -11. Suppose -8/5*k**4 - 8/5*k - 16/5 + 2/5*k**5 + 2/5*k**3 + r*k**2 = 0. What is k?
-1, 2
Let c(w) be the first derivative of w**3/15 - 76*w**2/5 + 151*w/5 + 535. Let c(g) = 0. Calculate g.
1, 151
Let j(y) = y**3 - 5*y**2 - 7*y + 9. Let a = 70 - 64. Let l be j(a). Suppose -1/3*z**2 - 1 - 1/3*z**l + 5/3*z = 0. Calculate z.
-3, 1
Let o = -266 + 802/3. Let c(i) be the first derivative of 4 + o*i**3 - 11/12*i**2 - 13/12*i**4 + 7/15*i**5 - 1/12*i**6 + 1/3*i. Find z, given that c(z) = 0.
2/3, 1
Let q(s) = -10*s - 7. Let p be q(-3). Let x = p + -19. Let 4*c**3 + 6*c**x + 0*c**4 - 3*c**3 - 7*c**4 = 0. Calculate c.
0, 1
Suppose 2*o = -0*k - 2*k + 348, 0 = -2*k + o + 339. Let s be k/(-38)*(-3)/18. Suppose -s*m**5 - 9/4*m**4 + 3/4 + 3/2*m**2 - 3/2*m**3 + 9/4*m = 0. Calculate m.
-1, 1
Let s(o) = o**5 - 3*o**4 - o**2 + o - 1. Let r(z) = 10*z**5 - 54*z**4 + 111*z**3 - 70*z**2 + 13*z + 5. Let b(p) = r(p) + 5*s(p). Determine g so that b(g) = 0.
0, 3/5, 1, 2
Let h be (-3 + 3/(-5))*5. Let y be (1/10)/(h/(-945)). Factor -27/4*q**3 + y*q**2 - 3/4*q**5 + 0 + 15/4*q**4 - 3/2*q.
-3*q*(q - 2)*(q - 1)**3/4
Let t be 0/(1/((-1)/(-2))). Let q(o) be the first derivative of 2 + 1/8*o**4 - 1/6*o**3 + t*o - 1/2*o**2. What is i in q(i) = 0?
-1, 0, 2
Factor 105*k**2 - 86*k - 2*k**3 - 44*k + 30*k**2 - 3*k**3.
-5*k*(k - 26)*(k - 1)
Let a be ((-12)/16)/(135/(-36)). Let f(r) be the first derivative of 0*r - 1/8*r**4 + 4 + 0*r**3 + a*r**5 - 1/12*r**6 + 0*r**2. Factor f(s).
-s**3*(s - 1)**2/2
Suppose 0 = -4*g + 6 + 2. Factor g + 10 + 3*q**4 + 3*q - 9*q**2 - 3*q**3 - 6.
3*(q - 2)*(q - 1)*(q + 1)**2
Let x(i) be the first derivative of i**5/20 - i**4/6 - 11*i - 11. Let p(w) be the first derivative of x(w). Determine a, given that p(a) = 0.
0, 2
Let c = 11 - 6. Let o(u) = -12*u**4 - 16*u**3 + 52*u**2 + 24*u + 16. Let f(b) = -4*b**4 - 5*b**3 + 17*b**2 + 8*b + 5. Let k(m) = c*o(m) - 16*f(m). Factor k(y).
4*y*(y - 2)*(y + 1)**2
Determine u so that 192 - 44/3*u**2 - 4/3*u**3 + 1/3*u**4 + 32*u = 0.
-4, 6
Let l = -8 + 6. Let b(w) = -6*w**2 - 18*w. Let g(f) = 19*f**2 + 55*f. Let v(y) = l*g(y) - 7*b(y). Let v(h) = 0. Calculate h.
-4, 0
Let h(y) be the first derivative of 6*y**3 - 200*y**2/11 + 8*y/11 - 110. Factor h(r).
2*(r - 2)*(99*r - 2)/11
Let c = 117 + -70. Determine m, given that -c*m**4 + 42*m**4 + 4*m**2 + 5*m**3 + m**2 - 5*m = 0.
-1, 0, 1
Let p = 46 + -43. Let u be (p/(-4) + 1 - 1)/(-3). Factor 0*m + 1/4 - u*m**2.
-(m - 1)*(m + 1)/4
Let w be (-247)/(-62) - (4 - -1 - 1). Let m = w - -65/186. Factor -m*l + 1/3*l**2 - 2/3.
(l - 2)*(l + 1)/3
Let k = 197/672 - -13/96. Solve -15/7*f - 18/7 + k*f**2 = 0.
-1, 6
Let y(f) be the second derivative of f**6/225 - 7*f**5/150 + f**4/6 - 13*f**3/45 + 4*f**2/15 + 76*f. Determine s so that y(s) = 0.
1, 4
Find d such that -5/4*d**2 - 1/8*d**3 + 0 + 11/8*d = 0.
-11, 0, 1
Let m(q) be the third derivative of -q**6/24 + 35*q**4/24 - 5*q**3 + q**2 - 2. Factor m(l).
-5*(l - 2)*(l - 1)*(l + 3)
Let r(f) be the third derivative of f**9/40320 + f**8/6720 - f**7/840 - f**6/60 - f**5/30 - 2*f**2. Let a(t) be the third derivative of r(t). Factor a(u).
3*(u - 2)*(u + 2)**2/2
Let t(n) = 9*n**4 - 32*n**3 + 67*n**2 - 32*n - 17. Let l(b) = -10*b**4 + 33*b**3 - 69*b**2 + 32*b + 18. Let v(u) = 5*l(u) + 6*t(u). Solve v(d) = 0 for d.
-1/4, 2, 3
Let a(g) be the third derivative of g**7/210 + g**6/12 + 9*g**5/20 + 3*g**4/4 - 6*g**2 + 49*g. Suppose a(p) = 0. Calculate p.
-6, -3, -1, 0
Suppose 116*w - 31*w**2 + 62 + 61*w**2 + 22*w**2 - 2 - 4*w**3 = 0. What is w?
-1, 15
Let o(t) be the first derivative of -27/2*t**4 + 2 + 0*t - 3/2*t**2 + 42/5*t**5 + 15/2*t**3. Let o(k) = 0. What is k?
0, 2/7, 1/2
Let a(v) = -6*v**2 - 41*v - 264. Let y(d) = -d**2 - 8*d - 53. Let p(l) = -2*a(l) + 11*y(l). Factor p(o).
(o - 11)*(o + 5)
Let s be ((-4)/(-3))/(0 - (-2)/9). Factor -s*x**2 + 2*x**2 + 12 + 0*x**2 - 8*x.
-4*(x - 1)*(x + 3)
Determine u, given that -74*u**2 + 114*u**3 + 155*u**2 + 3*u**4 + 108*u + 138*u**2 = 0.
-36, -1, 0
Let i(t) be the first derivative of t**3/4 - 21*t**2/8 + 9*t/2 + 29. Factor i(z).
3*(z - 6)*(z - 1)/4
Suppose -1/4*o**5 - 3/4*o**4 - 1/2*o**3 + 1/4 + 3/4*o + 1/2*o**2 = 0. What is o?
-1, 1
Let m(p) be the second derivative of -p**7/2520 + p**6/90 + 3*p**5/40 + 5*p**4/6 + p**2/2 + 2*p + 11. Let x(t) be the third derivative of m(t). Factor x(q).
-(q - 9)*(q + 1)
Let f(y) be the first derivative of -y**6/12 + 9*y**4/4 - 81*y**2/4 + 37. Suppose f(q) = 0. What is q?
-3, 0, 3
Let y = -15915 - -15917. Factor 2/3*k - 2/5 - 2/15*k**y - 2/15*k**3.
-2*(k - 1)**2*(k + 3)/15
Let o be (-7 + -3 - 1)/(-1). Suppose o*b = -4 + 4. Factor -2*h**3 + b + 4/5*h**4 - 2/5*h + 8/5*h**2.
2*h*(h - 1)**2*(2*h - 1)/5
Let w(c) be the first derivative of c**8/13440 + c**7/3360 - c**6/960 - c**5/240 + c**4/48 + 2*c**3 + 1. Let d(n) be the third derivative of w(n). Factor d(b).
(b - 1)**2*(b + 2)**2/8
Let g be -1 + 5 + 148/8*-4. Let b be (-122)/g - 2/(-5). Factor 3*j**4 - b*j**3 + 0 + 3/7*j**2 + 0*j - 9/7*j**5.
-3*j**2*(j - 1)**2*(3*j - 1)/7
Let r(v) = v**3 - 3*v**2 + v. Let w(u) = -u**5 + 21*u**4 - 24*u**3 - 44*u**2 + 95*u - 40. Let k(m) = -21*r(m) - 3*w(m). Factor k(p).
3*(p - 20)*(p - 1)**3*(p + 2)
Let w(o) = 3*o + 25. Let f be w(0). Find p, given that 18 + 6*p**2 + f + 7*p - 45 - 2*p**2 = 0.
-2, 1/4
Let m(d) be the third derivative of -d**8/1008 + d**7/1260 + d**6/60 + d**5/36 - d**4/72 - d**3/12 + 189*d**2. Find z, given that m(z) = 0.
-1, 1/2, 3
Let x be 11/44 + ((-217)/(-140) - 3/(-15)). Determine b, given that -2/9*b**x + 0 - 8/9*b**3 + 0*b = 0.
-1/4, 0
Let d(z) = z + 1. Let c(f) = -2*f**4 - 2*f**3 + 12*f**2 - 6*f - 6. Let a(l) = c(l) + 6*d(l). Factor a(h).
-2*h**2*(h - 2)*(h + 3)
Let h be (-630)/(-130) - (-4)/26. Factor -250*r + r**5 - r**3 + 14*r**2 - h*r**3 + 3 - r**4 + 239*r.
(r - 1)**4*(r + 3)
Let d(f) be the first derivative of -f**3 - 69*f**2/2 - 66*f - 73. Factor d(k).
-3*(k + 1)*(k + 22)
Let c(i) be the second derivative of i**6/6 + i**5 + 5*i**4/3 - 10*i + 9. Factor c(l).
5*l**2*(l + 2)**2
Factor 0 - 196/9*k**3 - 184/9*k**2 - 50/9*k**4 + 16/9*k.
-2*k*(k + 2)**2*(25*k - 2)/9
Let w(u) be the first derivative of 12*u**5/5 + 29*u**4 + 24*u**3 + 545. Suppose w(n) = 0. What is n?
-9, -2/3, 0
Suppose -5*t + 2*d = -18, -4*d + 1 = 17. Let s = 24325/4 - 6081. Factor 0 + g**t - s*g.
g*(4*g - 1)/4
Factor 93/5*d + 9/5*d**4 + 14/5 + 83/5*d**3 + 153/5*d**2.
(d + 1)**2*(d + 7)*(9*d + 2)/5
Let g be ((-22)/6*-1 - 36/18) + -1. Determine r, given that 4*r - 6 - g*r**2 = 0.
3
Let m(h) be the third derivative of h**8/112 - 33*h**7/280 + 23*h**6/40 - 109*h**5/80 + 27*h**4/16 - h**3 + 153*h**2. Find r such that m(r) = 0.
1/4, 1, 2, 4
Le