tor v(o).
o**2
Let s = 8341/4 + -2125. Let f = 40 + s. Suppose 1/2*i**3 + 1/4*i**5 - f - 3/4*i - 1/2*i**2 + 3/4*i**4 = 0. Calculate i.
-1, 1
Let w be ((-45)/(-18))/(3/(-12)*-5). Factor -2/3*b**5 - 10/3*b**3 + 0 + 0*b - 8/3*b**4 - 4/3*b**w.
-2*b**2*(b + 1)**2*(b + 2)/3
Let o(u) be the second derivative of u**5/12 - 5*u**4/8 + 5*u**3/3 + 8*u**2 - 11*u. Let r(a) be the first derivative of o(a). Find m, given that r(m) = 0.
1, 2
Factor 8/13*o**2 - 10/13*o + 4/13 - 2/13*o**3.
-2*(o - 2)*(o - 1)**2/13
Let v(j) be the third derivative of -j**5/240 + j**4/24 + 5*j**3/24 + 2*j**2 + 47. Factor v(d).
-(d - 5)*(d + 1)/4
Let b(s) = -2*s - 15. Let l be b(-6). Let m be l + ((-44)/3)/(-4) - 0. Factor m*j + 0 - 2/3*j**2.
-2*j*(j - 1)/3
Let p(h) = -h**2 + 9*h - 14. Suppose c + c = -5*i + 7, -5*c = -5*i - 35. Let b be p(c). Let -2*y + y**2 - 11 + b + 8 = 0. Calculate y.
1
Let k(t) be the third derivative of -t**6/720 - t**5/480 - t**3/3 - 28*t**2. Let b(s) be the first derivative of k(s). Solve b(n) = 0.
-1/2, 0
Let b(k) = -3*k**2 - 42*k + 96. Let c(a) = 6*a**2 + 85*a - 194. Let r(t) = 13*b(t) + 6*c(t). Factor r(i).
-3*(i - 2)*(i + 14)
Let g = 3999 + -3999. Solve 8/3*a**4 + g + 2/3*a**5 + 2/3*a + 8/3*a**2 + 4*a**3 = 0.
-1, 0
Find a, given that 2/7*a**2 - 6/7*a**3 + 0 + 4/7*a - 2/7*a**4 + 2/7*a**5 = 0.
-1, 0, 1, 2
Let p be (0 + 2)/(225/(-45) - 22/(-4)). Suppose 8/3*a**2 - p*a**3 + 0 + 0*a + 4/3*a**4 = 0. Calculate a.
0, 1, 2
Let j(n) be the second derivative of 0 + 1/60*n**4 - 1/3*n**3 - 11*n + 5/2*n**2. What is b in j(b) = 0?
5
Let u = 246 - 240. Let w(x) be the third derivative of 0*x**4 - 1/735*x**7 + 0 - 1/420*x**u + 0*x + 1/105*x**5 + 0*x**3 - x**2. Find c, given that w(c) = 0.
-2, 0, 1
Let m(r) = -r - 59. Let c be m(-62). Let o(w) be the second derivative of -2/3*w**2 + 0 + 2/9*w**c - 10*w - 1/36*w**4. Suppose o(s) = 0. Calculate s.
2
Let l(y) be the second derivative of -12*y + 0 - 1/50*y**5 - 1/30*y**3 + 1/20*y**4 + 0*y**2. Determine m, given that l(m) = 0.
0, 1/2, 1
Let z(y) be the third derivative of 0 + 0*y**3 + 0*y + 1/120*y**5 + 1/144*y**4 + 1/240*y**6 + 1/1260*y**7 + 10*y**2. Factor z(x).
x*(x + 1)**3/6
Let q be 42/(-18)*3 + -1. Let c be 0*(44/q + (-5)/(-1)). Factor c + 21/2*f**2 - 3/2*f.
3*f*(7*f - 1)/2
Let 38*t**2 - 77*t**3 + 216*t**3 - 80 - 66*t**3 - 71*t**3 - 44*t = 0. Calculate t.
-20, -1, 2
Let u = 29 + -26. Suppose -24 = -7*n + u*n - 2*k, 0 = 2*n + 4*k - 18. Factor 0*o - 2/3*o**4 - 2/3*o**3 + 0*o**2 + 0 + 4/3*o**n.
2*o**3*(o - 1)*(2*o + 1)/3
Let f = 5878 - 29378/5. Find c such that 18/5*c**3 + 39/5*c**2 + 3/5*c**4 + f + 36/5*c = 0.
-2, -1
Let o(k) be the first derivative of -8/3*k - 2/3*k**2 - 1/18*k**3 - 8. Suppose o(n) = 0. Calculate n.
-4
Let a(v) be the third derivative of v**7/630 - v**6/180 - v**5/15 + 2*v**4/3 - 9*v**2. Let j(p) be the second derivative of a(p). What is k in j(k) = 0?
-1, 2
Let r(c) be the first derivative of -3*c**5/20 + 9*c**4/8 + 7*c**3/4 - 233. Factor r(q).
-3*q**2*(q - 7)*(q + 1)/4
Factor -2/7*l**2 + 188/7*l - 4418/7.
-2*(l - 47)**2/7
Let b(w) be the second derivative of -w**6/150 - w**5/30 - w**4/15 - 13*w**3/6 + 5*w. Let k(c) be the second derivative of b(c). Solve k(t) = 0.
-1, -2/3
Let a(f) be the first derivative of -f**6/180 - f**5/60 + f**4/6 - 2*f**3/3 - 16*f**2 + 46. Let o(s) be the third derivative of a(s). Factor o(x).
-2*(x - 1)*(x + 2)
Let l(d) be the first derivative of 17 + 2/33*d**3 - 1/11*d**2 - 4/11*d. Factor l(b).
2*(b - 2)*(b + 1)/11
Let s = 266 + -265. Let z be s*1/(-2)*0. Factor 5*j**2 + z + 5/4*j**3 + 5*j.
5*j*(j + 2)**2/4
Let a = 152 + -607/4. Let k(f) be the second derivative of 1/2*f**3 + f - a*f**4 + 0 + 0*f**2. Factor k(m).
-3*m*(m - 1)
Let p(b) be the first derivative of -b**5/80 + b**4/48 + b**3/24 - b**2/8 + 3*b - 12. Let n(g) be the first derivative of p(g). Factor n(w).
-(w - 1)**2*(w + 1)/4
Let f(p) be the second derivative of p**6/30 - 3*p**5/20 + p**4/4 - p**3/6 - 2*p - 3. Factor f(t).
t*(t - 1)**3
Let p be 2/(-7)*-46 + (-35)/245. Suppose 0 = 8*k - p*k. Let k + 8*y**4 - 4*y**3 + 1/2*y**2 + 0*y = 0. Calculate y.
0, 1/4
Factor -1/4*b**5 + 0*b - 1/2*b**4 + 0*b**3 + 0*b**2 + 0.
-b**4*(b + 2)/4
Determine l, given that -16/3 + 2*l + 1/3*l**2 = 0.
-8, 2
Let w(h) = h**3 + 6*h**2 + 8*h + 2. Let g be w(-3). Let z be ((-530)/4)/g*-2. Solve -c - 29*c**3 + z*c - 108*c**2 + 59*c**3 + 62*c**3 - 8 - 28*c**4 = 0 for c.
2/7, 1
Determine f, given that -2/3*f + 2/9*f**2 - 8/9 = 0.
-1, 4
Let d be (-14)/4 + 4/(-8). Let w(y) = -2*y**2 + 2*y - 4. Let s(x) = 2 + 3 - 7 + 1. Let b(c) = d*s(c) + w(c). Factor b(r).
-2*r*(r - 1)
Let h(y) be the third derivative of -y**7/70 - y**6/8 - 3*y**5/20 + 5*y**4/8 + 2*y**3 + 8*y**2 - 1. Factor h(n).
-3*(n - 1)*(n + 1)**2*(n + 4)
Let v(u) be the third derivative of -1/160*u**6 + 3/80*u**5 + 0*u**3 - 5*u**2 - 1/16*u**4 + 0*u + 0. Factor v(m).
-3*m*(m - 2)*(m - 1)/4
Let c(y) = -y**3 - 22*y**2 + y - 11. Let j(z) = 4*z**2 + 2. Let k(h) = 4*c(h) + 22*j(h). Let k(l) = 0. Calculate l.
-1, 0, 1
Suppose -3 = -2*a + 7. Suppose 40*q = 35*q + 15. Factor 0 + 6/7*n**q + 0*n + 2/7*n**2 + 6/7*n**4 + 2/7*n**a.
2*n**2*(n + 1)**3/7
Suppose 0 = -5*j - 3*u - 10, 0*j + 10 = j + 3*u. Let i be (-2)/j - 104/(-65). Factor -3/5 + 9/5*k + 12/5*k**i.
3*(k + 1)*(4*k - 1)/5
Factor 3/5*r**2 + 72/5 + 33/5*r.
3*(r + 3)*(r + 8)/5
Let l(u) be the first derivative of -10*u + 4 + 40/3*u**3 - 15/4*u**4 - 15/2*u**2. Find f such that l(f) = 0.
-1/3, 1, 2
Factor -138/5*o - 2/5*o**5 + 212/5*o**2 - 148/5*o**3 + 42/5*o**4 + 34/5.
-2*(o - 17)*(o - 1)**4/5
Factor 4*y**5 + 32*y**3 - 36*y**2 - 32*y**2 - 18*y**2 + 22*y**2 + 28*y**4.
4*y**2*(y - 1)*(y + 4)**2
Let r(w) be the third derivative of -w**6/24 - 4*w**5/3 - 25*w**4/8 + w**2 + 136*w. Find u, given that r(u) = 0.
-15, -1, 0
Find z such that 3/8*z**5 - 3/8*z**4 + 0 - 9/8*z**3 + 3/8*z**2 + 3/4*z = 0.
-1, 0, 1, 2
Let m = 590 - 1179/2. Let b(d) be the second derivative of -1/14*d**7 - d**2 - 6*d + 7/6*d**3 + 0 - m*d**4 - 1/5*d**5 + 4/15*d**6. Factor b(i).
-(i - 1)**3*(i + 1)*(3*i - 2)
Suppose -3*f + 27 = -3*q - 5*f, -q = -4*f + 9. Let v(a) = -5*a - 42. Let o be v(q). Factor -2/3*n**o - 2*n + 0 - 8/3*n**2.
-2*n*(n + 1)*(n + 3)/3
Let x(a) be the second derivative of a**8/4480 + a**7/336 - a**6/80 + 5*a**4/2 - 18*a + 2. Let w(f) be the third derivative of x(f). Let w(k) = 0. What is k?
-6, 0, 1
Let x(b) = -3*b + 6. Let g(j) = -3*j + 23. Let y be g(7). Let s be x(y). Factor 2/5*k**2 + s*k + 0.
2*k**2/5
Let u = -11089 - -11095. Suppose -21/8*q**2 - 3*q - 3/8*q**3 + u = 0. Calculate q.
-4, 1
Let c be (3/(-2))/(2*(-3)/12). Factor -96*o**c - 3*o + 52*o**2 + o - 3*o - 3*o + 36*o**4.
4*o*(o - 2)*(3*o - 1)**2
Factor 2/15*i**4 + 0 + 0*i**3 - 2/15*i**2 + 0*i.
2*i**2*(i - 1)*(i + 1)/15
Solve -44/9 + 2*a + 2/9*a**3 + 8/3*a**2 = 0.
-11, -2, 1
Let a(w) be the third derivative of -w**5/180 + 11*w**4/72 - 14*w**3/9 + 5*w**2 - 7*w. Factor a(h).
-(h - 7)*(h - 4)/3
Let k be 4 + 0 - (6 + -5 - 1). Factor 2*d + d**5 + 0*d - 2*d**k - d - 2*d**5 + 2*d**2.
-d*(d - 1)*(d + 1)**3
Let b be (2 - -431)*((5 - 0) + -8). Let f = b - -9109/7. Factor f*d - 16/7 - 4/7*d**2.
-4*(d - 2)**2/7
Let u be (-1)/(-12) - (-3)/12. Suppose 2*p = -3*m - 3, 2*p + m + 1 = -0*m. Suppose u*b**3 - 1/3*b**5 - 1/3*b**4 + 1/3*b**2 + 0*b + p = 0. Calculate b.
-1, 0, 1
Suppose 0 = 2*f + 14 - 40. Suppose 11*d = f*d. Let 9/5*t**2 + 16/5*t**4 - 1/5*t - 24/5*t**3 + d = 0. What is t?
0, 1/4, 1
Let q = -284879461/180 + 1582659. Let o = -1/180 - q. Suppose -o*x**3 - 22/3*x - 4/3 - 32/3*x**2 = 0. Calculate x.
-1, -2/7
Let r(n) = 4*n**2 - 1232*n + 32. Let m(j) = j**2 - 411*j + 12. Let p(w) = 8*m(w) - 3*r(w). Factor p(z).
-4*z*(z - 102)
Let t(u) be the second derivative of u**6/60 - 3*u**5/20 + u**4/24 + 2*u**3 + 4*u**2 + 40*u. Factor t(i).
(i - 4)**2*(i + 1)**2/2
Let g be (16/5)/(8/(-40)). Let d = -12 - g. Factor -d*x**3 + 4 - 14*x + 3*x**2 + 5*x**2 - 2*x**2 + 8*x**2.
-2*(x - 2)*(x - 1)*(2*x - 1)
Suppose -4*y + 35 = 5*n - 2*y, 5*y = 0. Factor n*r**3 - 37*r**4 - 12*r**4 + 70*r**3 - 55*r**2 + 23*r**2 + 4*r.
-r*(r - 1)*(7*r - 2)**2
Let i be ((-15)/9)/(17/(-51)). Let l(m) be the first derivative of 7/4*m**4 + 0*m**2 - m**i + 2 - 2/3*m**3 + 0*m. Suppose l(r) = 0. Calculate r.
0, 2/5, 1
Let t = 439 + -436. Let i(r) be the third derivati