 first derivative of -t**7/945 - t**6/540 + t**5/270 + t**4/108 + t**2 - 2. Let i(l) be the second derivative of r(l). Factor i(m).
-2*m*(m - 1)*(m + 1)**2/9
Let v(n) be the first derivative of -n**2/2 - 4*n - 4. Let m be v(-4). Determine p so that 7/5*p**2 + 1/5*p + 3*p**3 + m + 13/5*p**4 + 4/5*p**5 = 0.
-1, -1/4, 0
Factor -p**5 + 5*p**5 - 9*p**2 + 2*p**5 + 3*p**3 - 5*p**5 + 5*p**4.
p**2*(p - 1)*(p + 3)**2
Let v be 6*(-3 - (-10)/3). Let j be 3/v*6/3. Factor -2/7 - 8/7*o**j - 10/7*o - 16/7*o**2.
-2*(o + 1)*(2*o + 1)**2/7
Let t(j) = j**3 + 6*j**2 + 7*j + 12. Let a be t(-5). Factor -2/5*b**a + 4/5*b + 0.
-2*b*(b - 2)/5
Let b(s) = 165*s**3 - 42*s**2 + 18*s + 18. Let f(a) = 47*a**3 - 12*a**2 + 5*a + 5. Let m(r) = 5*b(r) - 18*f(r). Determine z so that m(z) = 0.
0, 2/7
Let z = -223/540 - -9/20. Let s(r) be the second derivative of -3*r + 0*r**5 + 1/9*r**2 + 0 - z*r**4 + 0*r**3 + 1/135*r**6. Suppose s(b) = 0. Calculate b.
-1, 1
Let g(q) = 7*q**3 - q**2 - q - 5. Let p(c) = -8*c**3 + c**2 + c + 6. Let y(i) = -7*g(i) - 6*p(i). Factor y(w).
-(w - 1)**2*(w + 1)
Factor 0*d - 2/5*d**2 + 2/5*d**3 + 0.
2*d**2*(d - 1)/5
Solve 10/11 - 8/11*l - 2/11*l**2 = 0.
-5, 1
Suppose 6/11*w**2 + 0 + 0*w = 0. Calculate w.
0
Find w, given that 0 + 2/3*w**3 - 2/3*w + 0*w**2 = 0.
-1, 0, 1
Let c(a) be the third derivative of a**6/6 - 17*a**5/12 + 10*a**4/3 - 5*a**3/2 - 10*a**2. Let c(s) = 0. Calculate s.
1/4, 1, 3
Let t(n) = 4*n**2 - 6*n + 10. Let b(y) = 9*y**2 - 11*y + 21. Let m(g) = -g**2 + 11*g - 15. Let f be m(10). Let s(i) = f*t(i) + 2*b(i). Solve s(c) = 0 for c.
2
Let t be 4/6*18/(-4). Let p be 14/6 + (-2)/t. Factor -2/7*c**p + 2/7*c + 2/7 - 2/7*c**2.
-2*(c - 1)*(c + 1)**2/7
Let x be (-6)/10 - 7/35*-5. Factor 4/5 + x*l - 2/5*l**2.
-2*(l - 2)*(l + 1)/5
Suppose 0 = -t - 4*t. Suppose -2*g + 10 = t, 3*n + 15 = 4*g - g. Factor -4*o**3 + n*o**2 - o**2 + 0*o**2 - 3*o**4.
-o**2*(o + 1)*(3*o + 1)
Let p(d) = -d - 9. Let l be p(-7). Let o(g) = -g**2 - 4*g - 2. Let x be o(l). Factor 19*a - 2*a**2 - 15 + 42 - a + 5*a**x.
3*(a + 3)**2
Let w(p) = -9*p - 104. Let u be w(-12). Factor 1/6*j + 1/3*j**5 + 7/6*j**u + 3/2*j**3 + 0 + 5/6*j**2.
j*(j + 1)**3*(2*j + 1)/6
Determine n so that 10 + 177*n - 182*n - 30*n**2 + 10*n**2 - 20*n**2 - 25*n**3 = 0.
-1, 2/5
Let j(i) be the first derivative of -5*i**4/2 - 11*i**3/2 - 15*i**2/4 - i - 32. Factor j(x).
-(x + 1)*(4*x + 1)*(5*x + 2)/2
Let l be (0 - 1)/((-2)/14). Suppose 2*g - l - 3 = 0. Solve -1 + 1 + 2*v - g*v**2 + 3*v**2 = 0.
0, 1
Suppose 0 = -5*t - n + 21, t - 5*n = 2*t + 15. Let 14*l**t + 1/3*l + 9*l**2 - 7/3*l**3 - 2/3 - 61/3*l**4 = 0. Calculate l.
-1/2, -1/3, 2/7, 1
Let u be 10 + -6 + 3/(-1 - 2). Suppose 2/3*x**2 - 2/3*x**u + 0 + 0*x = 0. What is x?
0, 1
Let f = -449 + 9434/21. Let b(d) be the second derivative of 0*d**4 + f*d**3 + 0 - 1/49*d**7 + d + 2/21*d**6 - 2/7*d**2 - 1/7*d**5. Solve b(c) = 0 for c.
-2/3, 1
Let s = 187/280 + -3/70. Let b(d) be the first derivative of 4 - 1/2*d - 1/6*d**3 - s*d**2. Suppose b(p) = 0. Calculate p.
-2, -1/2
Let k(a) = -a**3 + 10*a**2 - 9*a + 2. Let q be k(9). Factor 3*i**2 - 4*i**q - 5*i**2 + 6*i**4 - 2*i + 5*i - 3*i**5.
-3*i*(i - 1)**3*(i + 1)
Suppose 5*r + 4*i = -0*i + 5, r - i - 10 = 0. Let u(k) be the third derivative of -3*k**2 + 0*k + 0 + 1/42*k**4 + 0*k**3 + 1/70*k**r. Factor u(z).
2*z*(3*z + 2)/7
Let l(t) be the second derivative of -1/3*t**4 + 0*t**3 + 0 - 7/10*t**6 + 6/5*t**5 - 7/6*t**7 + 0*t**2 + t. Solve l(d) = 0.
-1, 0, 2/7
Let x(v) be the second derivative of -v**7/420 + v**6/120 - v**4/24 + v**3/12 + 2*v**2 + 2*v. Let o(y) be the first derivative of x(y). Factor o(m).
-(m - 1)**3*(m + 1)/2
Let r(x) = x + 4. Let p be r(-4). Suppose s - 4 = -2*m, 5*m - 3*s - 11 + 1 = p. Solve 0*d - 2*d**3 - d - d**4 + 3*d + d**m = 0.
-2, -1, 0, 1
Let o(k) = -k**3 + k - 1. Let c(b) = 8*b**3 - 7*b + 7. Suppose 0 = -5*p + 2*u + 37, 3*p - 4*u - 4 = 7. Let d = p - -5. Let a(q) = d*o(q) + 2*c(q). Factor a(l).
2*l**3
Factor 3/8*s + 9/2*s**2 + 15/8*s**3 - 9/4.
3*(s + 1)*(s + 2)*(5*s - 3)/8
Let g(v) be the first derivative of v**4/14 - v**2/7 - 46. Solve g(d) = 0 for d.
-1, 0, 1
Let b = 331/6 - 55. Let l(u) be the first derivative of 2 + 0*u**3 + 0*u + b*u**4 - 1/3*u**2. Factor l(k).
2*k*(k - 1)*(k + 1)/3
Let x(t) be the second derivative of 1/120*t**6 + 0*t**2 - 1/48*t**4 - 1/24*t**3 + 4*t + 0 + 1/80*t**5. Suppose x(s) = 0. What is s?
-1, 0, 1
Let z(d) be the third derivative of d**6/240 + d**5/60 - d**4/48 - d**3/6 + 2*d**2 + 13*d. Find u such that z(u) = 0.
-2, -1, 1
Let q(i) = i**3 - 5*i**2 + 4*i. Let z be q(4). Factor 0*j**2 + 0 + 2/7*j**4 + 0*j + z*j**3 + 2/7*j**5.
2*j**4*(j + 1)/7
Let w = 313 - 313. Suppose 0*p**2 + w*p + 0 + 0*p**3 + 1/3*p**5 - 1/3*p**4 = 0. Calculate p.
0, 1
Find z such that 2*z + 0 + 5*z**2 + z**2 + z - 6 - 3*z**3 = 0.
-1, 1, 2
Let j(t) be the second derivative of 2*t + 0*t**3 + 0*t**4 + 0 - 1/42*t**7 + 0*t**2 + 1/30*t**6 + 0*t**5. Factor j(u).
-u**4*(u - 1)
Let z(r) be the second derivative of -r**7/840 - r**6/360 + 5*r**3/3 - 6*r. Let t(i) be the second derivative of z(i). Factor t(p).
-p**2*(p + 1)
Let i = -1567 + 6307/4. Find f such that 33/4*f + 3*f**3 - 3/2 - i*f**2 = 0.
1/4, 1, 2
Let k(u) be the second derivative of u**5/10 + u**4/3 + u**3/3 - 10*u. Factor k(a).
2*a*(a + 1)**2
Let s(b) = b**2 + b + 1. Let o(u) = -20*u**2 - 24*u - 20. Let j(a) = -o(a) - 16*s(a). Find r, given that j(r) = 0.
-1
Solve -12*q**2 - 3*q**3 + 12*q**2 + 3*q**4 = 0 for q.
0, 1
Suppose -721*y**2 - 10*y**3 + 5*y**5 + 721*y**2 + 5*y = 0. Calculate y.
-1, 0, 1
Suppose -5*k = -49 + 114. Let n = 16 + k. What is x in 14/5*x**n - 4/5 + 4/5*x**2 - 14/5*x = 0?
-1, -2/7, 1
Factor -1/3*l**3 - 1 + 5/3*l - 1/3*l**2.
-(l - 1)**2*(l + 3)/3
Suppose -4*b = -2*y - 18, 7 = 4*b + 3*y - 6. Suppose 1 = -b*g + 9. Suppose 2/3*j**3 + 0*j + 2/3*j**g + 0 = 0. What is j?
-1, 0
Suppose 0 = j + 5*z - 5, -2*z + 2 = -2*j - j. Find m, given that -2/3*m**3 + 0 - 2/3*m**2 + j*m = 0.
-1, 0
Let b(r) be the second derivative of -r**9/35280 + r**8/7840 - r**7/5880 + r**4/6 + 3*r. Let u(h) be the third derivative of b(h). Factor u(n).
-3*n**2*(n - 1)**2/7
Suppose -5*k + y + 5 = 0, 7 = 2*k - y + 2. Suppose 1 = -h + 3. Solve b**4 - 1/2*b**h + 0 - 3/4*b**5 + 1/4*b**3 + k*b = 0 for b.
-2/3, 0, 1
Suppose 2*w - 3*n - 165 = 0, -2*w - 5*n + 170 = -3*n. Let s = -247/3 + w. Find j, given that -2/3*j**2 - s*j + 2/3 + 5/3*j**3 = 0.
-1, 2/5, 1
Let r(d) = -d**3 - 6*d**2 - 4*d + 7. Let t be r(-5). Let q = -5 - -7. Factor 0*u**q - 4*u**2 - 1 - t*u**3 + 1 - 2*u.
-2*u*(u + 1)**2
Let y(f) be the third derivative of f**5/270 - f**4/108 - 6*f**2. Solve y(w) = 0.
0, 1
Let w = 299 + -887/3. Factor 0 + 2/3*m**5 + 0*m + 4/3*m**2 + 8/3*m**4 + w*m**3.
2*m**2*(m + 1)**2*(m + 2)/3
Factor 2*o**3 - 18*o + 2*o**3 + 8 + 6*o.
4*(o - 1)**2*(o + 2)
Suppose 0 = -2*q - 4 + 16. Suppose -3*b + 3 = -q. Factor z**3 + z**3 + z**2 - z**b.
z**2*(z + 1)
Let g be (-2)/18*(-157 - -153). Factor -10/9*z + 2/9*z**3 - 2/3*z**2 + 2/9*z**4 - g.
2*(z - 2)*(z + 1)**3/9
Let m = 6 - 1. Suppose -m*f + 3 = -17. Factor 0*j**4 + j**f - j**2 - 2*j**3 - 2*j**4.
-j**2*(j + 1)**2
Let g(j) be the second derivative of j**4/84 - 5*j**3/42 + 2*j**2/7 + 4*j. Let g(y) = 0. Calculate y.
1, 4
Let d(n) be the third derivative of -n**6/180 - n**5/9 - 25*n**4/36 - 24*n**2. Suppose d(g) = 0. Calculate g.
-5, 0
Let w(v) be the first derivative of -1/150*v**5 + 0*v**2 - 1/3*v**3 + 0*v - 1/900*v**6 + 2 + 0*v**4. Let y(q) be the third derivative of w(q). Factor y(z).
-2*z*(z + 2)/5
Suppose -33 + 15 = -6*n. Determine h so that 0 + 1/5*h**4 - 4/5*h - h**n + 8/5*h**2 = 0.
0, 1, 2
Let y = 1/3 + -1/6. Let k(d) be the second derivative of 0*d**2 + 0 + 0*d**3 - 2*d - y*d**4. Suppose k(i) = 0. What is i?
0
Suppose -14 + 0 = -7*v. Let i be (-1)/v*(-4)/6. Factor h**2 + 2/3*h**3 + 0*h - i.
(h + 1)**2*(2*h - 1)/3
Let v(g) be the second derivative of 0 + 2/3*g**3 - 2*g - 2*g**2 - 1/6*g**4 + 1/60*g**5. Let y(q) be the first derivative of v(q). Suppose y(o) = 0. What is o?
2
Let r(i) be the first derivative of -i**4/4 + 4*i**3 - 24*i**2 + 64*i + 15. Solve r(l) = 0.
4
Let f(w) be the third derivative of 0*w - 1/30*w**5 - 2/3*w**3 + 0 + 1/4*w**4 - w**2. Find x such that f(x) = 0.
1, 2
Let x(h) = -14*h + 42. Let o be x(3). What is d in 6/7*d**2 - 