 x(h).
-2*(h - 3)*(3*h - 1)/3
Let i(m) be the first derivative of m**6/3 + 76*m**5/5 + 505*m**4/2 + 1752*m**3 + 3888*m**2 + 3456*m - 113. Let i(a) = 0. Calculate a.
-12, -1
Let z(v) be the second derivative of 0 - 1/3*v**6 + 0*v**3 + 0*v**2 - 3/4*v**5 + 0*v**4 + 169*v + 5/42*v**7. Factor z(i).
5*i**3*(i - 3)*(i + 1)
Let c = -34 - -34. Let -12*d**3 - 4*d**5 + 0*d**5 + c*d**2 - d - 16*d**2 + 17*d + 16*d**4 = 0. What is d?
-1, 0, 1, 2
What is c in -220 + 2/3*c**5 - 2306/3*c - 544*c**3 - 2956/3*c**2 - 320/3*c**4 = 0?
-2, -1, 165
Let z(x) be the third derivative of x**7/168 - x**5/8 + 5*x**4/12 - 11*x**3/6 + 3*x**2 + 2. Let s(a) be the first derivative of z(a). What is b in s(b) = 0?
-2, 1
Suppose -9*f - 3 = -39. Let g(d) be the first derivative of 4/9*d + 11 + 0*d**3 - 1/3*d**2 + 1/18*d**f. Factor g(c).
2*(c - 1)**2*(c + 2)/9
Let p be (-223)/(-9) + (-2)/(-9). Let a = p + -22. Solve 274*l + a*l**4 - 6*l**3 - 274*l = 0.
0, 2
Factor 8/5 + 16952/5*p + 8980322/5*p**2.
2*(2119*p + 2)**2/5
Let l(j) be the second derivative of 7/3*j**4 + 19/30*j**5 - 1/45*j**6 + 0*j**3 + 10*j + 0 + 0*j**2. Factor l(c).
-2*c**2*(c - 21)*(c + 2)/3
Let y = 150458 + -2257924/15. Let i = y - -358/5. Determine l, given that i*l**4 + 0 + 8/3*l**3 + 0*l + 4/3*l**2 = 0.
-1, 0
Solve 282/13*k - 792/13 - 2/13*k**4 + 434/13*k**2 + 6*k**3 = 0 for k.
-3, 1, 44
Let j(y) be the third derivative of -y**6/360 - 374*y**5/45 - 69938*y**4/9 + 985*y**2 + 3. Determine m, given that j(m) = 0.
-748, 0
Solve 182/17*s - 180/17 - 2/17*s**2 = 0.
1, 90
Suppose 9/5*g**2 - 3/5*g**3 + 0 + 54/5*g = 0. Calculate g.
-3, 0, 6
Let b(x) be the first derivative of 3*x**5/5 - 15*x**4/4 - 18*x**3 + 108*x**2 - 2896. Factor b(m).
3*m*(m - 6)*(m - 3)*(m + 4)
Let s = -198 + 200. Let 10 - 1046*u**2 - 3*u - s*u + 991*u**2 + 50*u**3 = 0. What is u?
-2/5, 1/2, 1
Suppose 18*y + 4*j - 172 = 13*y, 5*y - 186 = 3*j. Solve 25*r**2 + 156 - 168*r - 22*r**2 + 12*r**2 - 3*r**3 + y*r**2 = 0.
2, 13
Let b(u) be the first derivative of -1/3*u**4 - 16/3*u**3 - 32*u**2 + 12*u - 24. Let c(z) be the first derivative of b(z). Factor c(j).
-4*(j + 4)**2
Let v(a) be the third derivative of 79/80*a**5 + 0*a - 6*a**2 - 9 + 29/160*a**6 + 7/2*a**3 - 1/448*a**8 + 1/280*a**7 + 5/2*a**4. Determine i so that v(i) = 0.
-2, -1, 7
Let l(y) = 12291*y + 61459. Let h be l(-5). Let 0*b**2 - 2/23*b**5 - 20/23*b**3 - 12/23*b**h + 12/23 + 22/23*b = 0. What is b?
-3, -2, -1, 1
Let z(k) be the second derivative of -k**7/1890 - 13*k**6/270 - 169*k**5/90 + 13*k**4/12 - 5*k**2 + 35*k. Let s(l) be the third derivative of z(l). Factor s(n).
-4*(n + 13)**2/3
Factor 263/9*w**2 + 1/9*w**5 - 37/9*w**3 + 112/9 - 104/3*w - 3*w**4.
(w - 28)*(w - 1)**3*(w + 4)/9
Let k(q) be the first derivative of q**4/18 - 26*q**3/27 + 14*q**2/9 + 176*q/9 + 2923. Factor k(x).
2*(x - 11)*(x - 4)*(x + 2)/9
Let b = 22 + -10. Let l(s) = -s**2 + 18. Let a be l(-4). Factor -8 - 11*t + 2*t**a - b*t + 17*t.
2*(t - 4)*(t + 1)
Let y(g) = -g**2 + 2*g + 12. Let c be y(6). Let k = 5 - c. Factor 12*x**2 + 22*x - 7*x + k*x**3 - 14*x**3 + 6.
3*(x + 1)**2*(x + 2)
Factor -40/13*r + 38/13 + 2/13*r**2.
2*(r - 19)*(r - 1)/13
Let k be (-750)/(-11) - 18/99. Suppose 0 = 26*d - 29*d + 6. Factor -k*m**2 + 5 - 36*m**d + 24*m**2 + 5*m - 80*m**3.
-5*(m + 1)*(4*m - 1)*(4*m + 1)
Let x be (21/(-14))/(24/(-32)). Let b be x*2/(-6)*-6. Find w such that 2/5*w**b - 6/5*w**3 + 0 - 2/5*w**2 + 4/5*w + 2/5*w**5 = 0.
-2, -1, 0, 1
Let l(v) be the third derivative of v**8/588 - 3*v**7/245 - 41*v**6/420 + 3*v**5/5 + 6*v**4/7 + 1754*v**2. Find s, given that l(s) = 0.
-4, -1/2, 0, 3, 6
Let x(i) be the third derivative of -i**6/120 - 47*i**5/120 - 83*i**4/24 + 95*i**3/12 + 59*i**2 - 6*i. Determine n so that x(n) = 0.
-19, -5, 1/2
Suppose -2/13*h**3 - 16/13*h - 8/13 - 10/13*h**2 = 0. Calculate h.
-2, -1
Let p(a) be the second derivative of a**8/16800 + 37*a**7/3150 + 1369*a**6/1800 - 2*a**4 + 117*a. Let b(u) be the third derivative of p(u). Factor b(x).
2*x*(x + 37)**2/5
Let h(k) be the second derivative of -k**6/6 + 37*k**5/4 - 685*k**4/12 + 835*k**3/6 - 165*k**2 - 386*k. Suppose h(y) = 0. Calculate y.
1, 2, 33
Let k(b) = -11*b**4 - 29335*b**3 + 13454215*b**2 - 18*b + 27. Let g(c) = 2*c**4 + 7334*c**3 - 3363554*c**2 + 4*c - 6. Let w(d) = 9*g(d) + 2*k(d). Factor w(i).
-4*i**2*(i - 917)**2
Suppose v + 90*o - 45 = 93*o, 0 = 4*v + 5*o - 197. Let b(x) be the first derivative of 0*x + 10/33*x**3 + 2/11*x**2 + 2/11*x**4 + 2/55*x**5 - v. Factor b(n).
2*n*(n + 1)**2*(n + 2)/11
Suppose 0 = 5*l - 45 - 30. Let g = -367410 - -367422. Factor -l*w**2 - g*w - 12/5.
-3*(5*w + 2)**2/5
Let k(p) be the third derivative of -29*p**6/360 - 929*p**5/90 - 16*p**4/9 - 11067*p**2. Solve k(s) = 0.
-64, -2/29, 0
Determine g, given that 10*g - 228/11 + 2/11*g**2 = 0.
-57, 2
Suppose 0 = 4*r + 3*r - 63. Suppose -r*i + 5 = -4. Factor -c**3 - 173*c**2 + 179*c**2 + 5 + 2 + i - 12*c.
-(c - 2)**3
Let q = 5790/13 - 138869/312. Let n(w) be the second derivative of 0 - 10*w + 0*w**2 - 3/40*w**5 - q*w**4 - 1/6*w**3. Determine l, given that n(l) = 0.
-2, -1/3, 0
Factor 3*w**3 - 627/2*w**2 + 3249/2*w + 891.
3*(w - 99)*(w - 6)*(2*w + 1)/2
Let t(d) be the third derivative of 1/3*d**4 + 0 - 31*d**2 + 0*d + 0*d**3 - 1/90*d**5. Factor t(l).
-2*l*(l - 12)/3
Suppose 0 = 3*a + 4*t - 28, 6*t = 3*a + t + 8. Solve 5*r**2 + a*r - 6*r**2 - 10*r**2 - 20*r**3 + 15*r**2 + 12*r**4 = 0 for r.
-1/3, 0, 1
Suppose 0 = -2*t + 2*v + 6, -2*v = -0*v + 4. Let x be t/(2/4*(-2)/(-4)). Solve 4 - 184*l**4 - 10*l + 180*l**x + 2*l + 8*l**3 = 0 for l.
-1, 1
Let m = 120 - 116. Factor 1678*p**2 + 0*p**3 - 32 - 7*p**3 - 2*p**m + 48*p - 5*p**3 - 1680*p**2.
-2*(p - 1)**2*(p + 4)**2
Let i(j) be the first derivative of 0*j + 16/15*j**3 + 0*j**2 + 1/10*j**4 - 55. Factor i(t).
2*t**2*(t + 8)/5
Let r(f) = 3*f**3 - 14*f**2 + 11*f - 10. Let o be r(4). Factor -7*a**4 + a**5 - 2094*a**2 + 2121*a**o - 42*a + 9*a**3 - 12*a.
a*(a - 3)**3*(a + 2)
Solve 0 + 369/2*u**2 + 57*u - 105/2*u**3 = 0.
-2/7, 0, 19/5
Let h be 40 - (2/(-3))/(6/(-45)). Let -115*u**2 - h*u**5 + 2*u**3 + 40*u + 20 - u**3 - u**3 + 87*u**4 + 8*u**4 - 5*u**3 = 0. Calculate u.
-1, -2/7, 1, 2
Determine x so that -254/15*x**3 + 176/3 - 2/15*x**5 + 1048/15*x - 44/15*x**2 - 44/15*x**4 = 0.
-11, -10, -2, -1, 2
Let p(h) be the first derivative of -h**4/18 + 62*h**3/9 - 40*h**2 + 712*h/9 - 3545. What is o in p(o) = 0?
2, 89
Let h = 262 + -278. Let t be 10/8 + 12/h. Factor 0 + 2/3*l + t*l**3 - 4/3*l**2.
l*(l - 2)*(3*l - 2)/6
Let i = -225198 - -225201. Solve -5920*k - 25470*k**i - 19000*k**2 - 640 - 6615/2*k**5 - 15120*k**4 = 0 for k.
-4/3, -2/7
Suppose 5*a - 16 = -2*w, 5*w - 7 = 7*a - 3*a. Factor -84*h**2 - 14*h - 18*h**a - 43*h - 27*h**3 + 21 - 3.
-3*(h + 1)*(h + 3)*(9*h - 2)
Let s be (-476)/(-190) - 650/6175. Find o, given that -216/5 - 198/5*o - 33/5*o**2 + 3/5*o**4 + s*o**3 = 0.
-3, -2, 4
Let q = -2319 + 4729/2. Let k = q + -811/18. Let k + 2/9*r - 2/9*r**2 = 0. Calculate r.
-1, 2
Factor 7*i**4 - 53*i**5 + 8*i**2 + 56*i**5 + 26*i**3 + 7*i**5 + 21*i**4.
2*i**2*(i + 1)**2*(5*i + 4)
Let n(j) = -j**2 - j - 1. Let b = -240 + 241. Let a(h) be the first derivative of -4*h**3/3 - 99*h**2/2 - 499*h - 5. Let w(l) = b*n(l) + a(l). Factor w(f).
-5*(f + 10)**2
Let n(j) be the first derivative of j**6/1260 - 3*j**5/140 + 2*j**4/21 - 76*j**3/3 + 48. Let i(y) be the third derivative of n(y). Find d such that i(d) = 0.
1, 8
Let l be 12 - ((-12)/18)/(50/(-180))*5. Determine k so that -k**2 - 1/3*k**3 + 0*k + l = 0.
-3, 0
Let f(c) be the third derivative of -c**5/60 - 163*c**4/24 + 140*c**3 + 2*c**2 + 1824*c - 3. Determine u, given that f(u) = 0.
-168, 5
Let q(p) be the second derivative of -6*p**6/5 - 104*p**5 - 379*p**4/3 + 2272*p**3/3 - 456*p**2 - 3607*p. Suppose q(t) = 0. Calculate t.
-57, -2, 2/9, 1
Let q(v) be the second derivative of v**7/21 - v**6/3 - 3*v**5/10 + 13*v**4/6 + 10*v**3/3 - 7*v. Let q(m) = 0. What is m?
-1, 0, 2, 5
Let t be (104/(-4212))/((-2)/3). Let n(q) be the second derivative of -8/9*q**2 + 3*q + 0 + 4/27*q**3 - 1/90*q**5 + t*q**4. Solve n(d) = 0.
-2, 2
Let p(m) be the first derivative of 5*m**4/2 - 112*m**3 + 97*m**2 + 132*m + 598. Suppose p(h) = 0. What is h?
-2/5, 1, 33
Factor -2/5*c**3 - 24/5*c + 0 + 14/5*c**2.
-2*c*(c - 4)*(c - 3)/5
Let j be -2 - (4 + 0