**2 + 29 - 1 - 16*y - 16 = 0. Calculate y.
1, 3
Let l = -161 + 87. Let r = 74 + l. Solve -1/2 + r*v**2 + 3/4*v - 1/4*v**3 = 0.
-2, 1
Let m(h) be the third derivative of h**5/75 - 68*h**4/15 + 9248*h**3/15 + 35*h**2 - 4*h. Factor m(p).
4*(p - 68)**2/5
Let x(l) be the third derivative of l**5/10 - l**4/12 + l**3/6 + 33*l**2. Let z be x(1). Factor -2/5*t**4 + 0*t**2 + 0*t - 2/5*t**z + 4/5*t**3 + 0.
-2*t**3*(t - 1)*(t + 2)/5
Let m be (-2)/(-4)*-21*16/(-56). Let v(j) be the first derivative of -1/12*j**m + 1/20*j**5 - 2 + 1/4*j**2 + 0*j - 1/8*j**4. Factor v(o).
o*(o - 2)*(o - 1)*(o + 1)/4
Find g such that 214140*g**2 - 107*g - 214142*g**2 - 22050 + 2*g - 315*g = 0.
-105
Let 21*r**2 - 121*r**2 + r**2 - 16*r**2 + 715*r - 605 + 5*r**3 = 0. Calculate r.
1, 11
Let c be (-322)/345 - ((-12)/9 - 0). Suppose -3*a = -6 - 3. Factor 0 + 0*p + 0*p**2 - c*p**a.
-2*p**3/5
Let c be (12/15)/(14/35). Factor c*n**2 + 1809 - 14*n - 1809.
2*n*(n - 7)
Let s(o) be the first derivative of -o**6/60 - 9*o**5/25 - 97*o**4/40 - 24*o**3/5 - 16*o**2/5 + 605. Factor s(q).
-q*(q + 1)**2*(q + 8)**2/10
Let d = 36 - 2. Suppose 0 = 10*s + 4 - d. Suppose 0 - 3*l - 3/4*l**5 - 39/4*l**s - 9/2*l**4 - 9*l**2 = 0. Calculate l.
-2, -1, 0
Let l = 262 + -256. Let s(x) be the first derivative of -9/2*x**2 + 0*x**3 + 3 + l*x + 3/4*x**4. Let s(v) = 0. What is v?
-2, 1
Factor 0*d**4 + 4*d**2 - 4*d**4 + 3933*d - 3937*d + 4*d**3.
-4*d*(d - 1)**2*(d + 1)
Let x(l) be the third derivative of -l**8/840 + l**7/1050 + l**6/6 - l**5/6 - 125*l**4/12 + 125*l**3/6 - 913*l**2. Solve x(t) = 0 for t.
-5, 1/2, 5
Factor 10*r - 1/2*r**2 + 22.
-(r - 22)*(r + 2)/2
Let z(o) be the second derivative of o**4/12 + 5*o**3/6 - 93*o. Factor z(h).
h*(h + 5)
Suppose 0 = k + 3*y + 9, 5*y - 2 = -4*k - 10. Factor 7*n**2 - 108*n - 81 - 23*n**2 - 5*n**k - 38*n**2 - 7*n**3 - n**4.
-(n + 3)**4
Let -7/3*p**2 - 1/3*p**3 + 16/3 - 8/3*p = 0. Calculate p.
-4, 1
Let q be (-1 - 1 - -1)*(-74)/296. Let f(x) be the third derivative of 0 + 25/12*x**4 + q*x**5 + 0*x + x**2 + 5/2*x**3. Factor f(r).
5*(r + 3)*(3*r + 1)
Find y, given that 15/7*y**3 - 27/7*y**2 + 0*y + 12/7*y**4 + 0 = 0.
-9/4, 0, 1
Let s(y) = -5*y**2 + y - 2. Let r(q) = 9*q**2 - 3*q + 2. Let o(v) = 35*v**2 - 12*v + 7. Let t(d) = -2*o(d) + 9*r(d). Let u(h) = 9*s(h) + 4*t(h). Factor u(g).
-(g + 1)*(g + 2)
Let b be 1 + ((-32)/(-56))/(30/(-21)). Suppose 0*g + 12/5 - b*g**2 = 0. Calculate g.
-2, 2
Factor -1/9*v**3 + 1/3*v - 2/9 + 0*v**2.
-(v - 1)**2*(v + 2)/9
Factor -3/2*a**2 - 24*a - 45/2.
-3*(a + 1)*(a + 15)/2
Let w(i) be the first derivative of i**4/26 + 6*i**3/13 + 20*i**2/13 + 24*i/13 - 9. Factor w(o).
2*(o + 1)*(o + 2)*(o + 6)/13
Factor -80/9 + 116/9*u - 34/9*u**2 - 2/9*u**3.
-2*(u - 2)*(u - 1)*(u + 20)/9
Let r = -18385/3 - -6129. Solve 4/9*d**3 + 2/9 + 2/9*d**5 - 2/3*d**4 - r*d + 4/9*d**2 = 0 for d.
-1, 1
Let i(v) be the third derivative of v**8/112 - v**7/5 + 49*v**6/40 + 3*v**2 + 2*v. Factor i(s).
3*s**3*(s - 7)**2
Let a(t) be the second derivative of t**6/15 + t**5/5 - 2*t**4/3 - 2*t**3/3 + 3*t**2 + 109*t. Factor a(v).
2*(v - 1)**2*(v + 1)*(v + 3)
Let b(q) be the first derivative of 1/9*q**3 + 1/6*q**2 - 3 - 1/3*q - 1/12*q**4. Factor b(c).
-(c - 1)**2*(c + 1)/3
Let l(o) = -o**3 + o**2 + o - 1. Suppose 3*k + 2 = 2*t, 2 = 3*t - t - 5*k. Let n be l(t). Factor -2/7*p**5 - 2/7*p + n*p**2 + 0*p**4 + 4/7*p**3 + 0.
-2*p*(p - 1)**2*(p + 1)**2/7
Suppose z - v - 1 = 0, z + 5*v = -165 + 178. Determine x so that 5*x**z + 10*x**4 + 5/2*x**5 - 10*x**2 - 15/2*x + 0 = 0.
-3, -1, 0, 1
What is p in -2/11*p**3 + 0 - 16/11*p**2 + 18/11*p = 0?
-9, 0, 1
Let a = 1912/5 + -380. Let u(l) be the first derivative of 4/3*l**3 + 12*l**2 - 11/2*l**4 + a*l**5 - 9 - 1/3*l**6 - 16*l. Find m such that u(m) = 0.
-1, 1, 2
Suppose -m + 1 + 17 = 4*o, 5*m + 4*o = 26. Solve v**m + 294 - 6*v**2 - 304 + 15*v = 0.
1, 2
Let n(t) be the third derivative of t**8/56 - t**7/21 - 7*t**6/60 + 7*t**5/10 - 4*t**4/3 + 4*t**3/3 + 230*t**2 - 2*t. Factor n(v).
2*(v - 1)**3*(v + 2)*(3*v - 2)
Suppose 3*j - 22 = -4*h, 0 = 2*j + 17*h - 18*h. Determine x, given that 2/3*x**4 - 2/3 - 5/3*x + 5/3*x**3 + 0*x**j = 0.
-2, -1, -1/2, 1
Suppose 17*i - 21*i - i**2 + 3*i**2 - 30 + 0*i**2 = 0. Calculate i.
-3, 5
Suppose -5*w - 15 + 25 = 0. Let i be ((-4)/10)/(w/(-10)). Find n, given that -6*n**2 - 3*n - 2 + 3*n**3 - i*n + 8 + 2*n = 0.
-1, 1, 2
Let n(q) be the third derivative of -q**5/180 + q**4/24 + 43*q**2 - 2. Suppose n(p) = 0. What is p?
0, 3
Let i(b) be the first derivative of b**4/9 - 8*b**3/9 - 62*b**2/9 + 16*b - 195. Factor i(t).
4*(t - 9)*(t - 1)*(t + 4)/9
Suppose 41*i = 40*i + 20. Suppose -h - 29 = -4*m + 2*h, m = 5*h + i. Solve -12/11*v**2 + 14/11*v**4 + 10/11*v - 2/11 - 6/11*v**m - 4/11*v**3 = 0.
-1, 1/3, 1
Let d(q) be the third derivative of 0*q + 12*q**2 + 1/90*q**6 - 1/12*q**4 - 1/105*q**7 + 1/504*q**8 + 1/45*q**5 + 1/9*q**3 + 0. Solve d(z) = 0.
-1, 1
Let j be 798/(-70) + 3 + 9. Factor 0 - j*k**2 - 1/5*k**3 - 2/5*k.
-k*(k + 1)*(k + 2)/5
Let y(q) be the second derivative of q**4/9 - 80*q**3/9 + 800*q**2/3 - q - 1. Factor y(x).
4*(x - 20)**2/3
Let d be ((-101)/60 - -2) + -7 + 1768/255. Determine i so that -d*i**5 + 0*i - 1/4*i**3 + 0 + 0*i**2 - 1/2*i**4 = 0.
-1, 0
Let w(n) = -2*n + 28. Let i be w(13). Let h be (8/(-5) + i)/((-84)/(-70)). Factor 0 - 4/3*f**5 + 5/3*f**4 - h*f**3 + 0*f**2 + 0*f.
-f**3*(f - 1)*(4*f - 1)/3
Let p(w) = -w**2 - 3*w + 2. Let h(v) be the second derivative of 2/3*v**3 - v**2 + 3*v + 0 + 1/12*v**4. Let j(t) = 4*h(t) + 6*p(t). What is b in j(b) = 0?
-2, 1
Let g(s) = -12*s**2 - 15*s + 15. Let n(l) = 23*l**2 + 29*l - 29. Suppose 3*v + 5*j = 1, 5*j - 16 = 3*v - v. Let h(d) = v*n(d) - 5*g(d). Solve h(q) = 0 for q.
-2, 2/3
Let t(h) be the first derivative of -h**6/840 + h**5/140 - 2*h**3/21 + 12*h**2 + 35. Let q(g) be the second derivative of t(g). Factor q(a).
-(a - 2)**2*(a + 1)/7
Let j(r) be the second derivative of -3*r - 14/15*r**6 + 0 - 4/5*r**5 + 15/7*r**4 + 8/3*r**3 + 8/7*r**2. Solve j(g) = 0.
-1, -2/7, 1
Suppose 78*n + 42*n = -30*n + 66*n. Factor 2/11*y**3 + 6/11*y + n + 8/11*y**2.
2*y*(y + 1)*(y + 3)/11
Solve -147/5*v**5 + 36/5*v**2 + 0 + 105*v**4 - 264/5*v**3 + 0*v = 0.
0, 2/7, 3
Let i(q) be the first derivative of 0*q - 15 + 0*q**2 + 0*q**3 - 1/14*q**4. Factor i(m).
-2*m**3/7
Let o(g) = 5*g**4 - 26*g**3 + 9*g**2 + 32*g - 14. Let q(f) = f**3 + f**2 - 2*f - 1. Let r(a) = -o(a) - 6*q(a). Factor r(v).
-5*(v - 2)**2*(v - 1)*(v + 1)
Let 2*i + 60 - 67*i - 11*i**2 - 7*i**2 + 23*i**2 = 0. Calculate i.
1, 12
Let f be 13/91 - (-3695)/7. Let c be f/(-55)*10/(-14). Solve 8/7*j + 0 + 90/7*j**3 + c*j**2 + 50/7*j**4 = 0 for j.
-1, -2/5, 0
Suppose 2*t = -2*j + 10, 2*j + 32 = 4*t + 30. Factor 4/5*g**2 - 6/5*g**j + 0*g + 0 + 2/5*g**4.
2*g**2*(g - 2)*(g - 1)/5
Suppose 22 = 3*t + 5*a, -2*a - 26 = -3*t - 3*a. Suppose -n = -4*n + t. What is w in -2/3*w + 0*w**2 + 2/9*w**n - 4/9 = 0?
-1, 2
Let t(f) = 6*f**2 - 4*f - 10. Let v = -5 - -8. Let k(c) = 3 - 66*c - c**2 + 127*c - c**2 - 60*c. Let r(s) = v*t(s) + 10*k(s). Factor r(h).
-2*h*(h + 1)
Suppose -470 = -7*c + 1336. Let u = 447 - c. Let 0*f + u*f**4 + 0 + 12*f**2 + 90*f**3 + 243/2*f**5 = 0. What is f?
-2/3, -2/9, 0
Suppose -3 = -l + q, -l + 0*q + 3 = 4*q. Solve -7*o**3 - l*o**5 - 24*o**2 + 21*o**4 + o**3 - 6*o + 15*o**5 + 3 = 0.
-1, 1/4, 1
Let g be (2/3 + -2)/(-4 + 2). Let u(t) be the first derivative of 0*t + 3 + t**2 + g*t**3. Find f such that u(f) = 0.
-1, 0
Factor 2/13*y**2 + 0*y - 4/13*y**3 + 2/13*y**4 + 0.
2*y**2*(y - 1)**2/13
Suppose 3*x - 23 = -2*v, 2*x - 13 = x - 2*v. Let j be (-2)/(5/(x/(-8))). Suppose 1/4*p**3 - 1/4 + j*p**2 - 1/4*p = 0. What is p?
-1, 1
Let h = 633 - 6961/11. Factor -8/11 - h*g**2 - 8/11*g.
-2*(g + 2)**2/11
Let d(h) be the third derivative of 1/105*h**7 + 1/6*h**4 + 0*h - 11/360*h**6 - 4/9*h**3 + 0 - 13*h**2 + 1/90*h**5 - 1/1008*h**8. Factor d(v).
-(v - 2)**3*(v - 1)*(v + 1)/3
Let n be (-1)/((-26)/8 - -3). Suppose 2*u - n = -0*u. Factor 7*o + 2*o**u - 20*o**2 - 3*o + 14*o**3.
2*o*(o - 1)*(7*o - 2)
Let z = -148 - -160. Let i be 16/320 - (-9)/z. Factor -2/5*c**2 + i*c + 6/5.
-2*(c - 3)*(c + 1)/5
Suppose j = 11 - 17. Let i be (-26)/(-273)*j/(-4). What is h in 3/7*h**2 - 2/7 - i*h = 0?
-2/3, 1
Let n(v) be the second derivative of 1/18*v**3 - 1/36*v**4