hird derivative of l**7/1260 - l**6/180 - l**5/60 + l**4/36 + 5*l**3/36 - 14*l**2. Find d, given that t(d) = 0.
-1, 1, 5
Let d(m) be the second derivative of 1/30*m**6 + 0 + 1/20*m**5 + 0*m**4 + 0*m**2 - 2*m + 0*m**3. Suppose d(b) = 0. What is b?
-1, 0
Determine k so that 2/3*k**2 - 8/3*k + 8/3 = 0.
2
Let f(y) be the second derivative of -y**6/20 - 9*y**5/40 + y**3 - 31*y. Factor f(q).
-3*q*(q - 1)*(q + 2)**2/2
Let q be 9/(-2) - (19 - 13 - 11). Let 0*i**2 - 1/2*i**3 + i**4 + 0*i + 0 - q*i**5 = 0. Calculate i.
0, 1
Let r(p) = -p**2 + 3*p - 2. Let c(v) = 0*v**2 + 3 - 7*v + 1 + 3*v**2. Let z(q) = 2*c(q) + 5*r(q). Factor z(k).
(k - 1)*(k + 2)
Let j(o) be the second derivative of -5*o + 0*o**2 - 1/42*o**4 + 0*o**3 + 1/105*o**6 + 0*o**5 + 0. Let j(v) = 0. Calculate v.
-1, 0, 1
Suppose 0*d + 25 = -5*d, -z - 4*d - 18 = 0. Let k(j) be the first derivative of -3 + 0*j - 1/12*j**4 + 1/6*j**z + 1/15*j**5 - 1/9*j**3. Factor k(n).
n*(n - 1)**2*(n + 1)/3
Let p(c) be the first derivative of c**5/30 - c**4/2 + 26*c**3/9 - 8*c**2 + 32*c/3 + 25. Let p(z) = 0. What is z?
2, 4
Let t(d) = d**2 + 5*d - 9. Let g be t(-7). Let i(q) be the third derivative of 0*q + 0 + 1/14*q**4 - 1/21*q**3 - 2/35*q**g + 2/105*q**6 + q**2. Factor i(b).
2*(2*b - 1)**3/7
Let v(r) be the second derivative of 1/90*r**5 + 0*r**2 + 0*r**3 + 0 - r - 1/27*r**4. Factor v(u).
2*u**2*(u - 2)/9
Let o = 25 + -23. Let h(z) be the first derivative of -4/7*z - 5/7*z**o - 3 + 1/14*z**4 - 2/7*z**3 + 2/35*z**5. Find w, given that h(w) = 0.
-1, 2
Let p(w) be the second derivative of -w**5/20 - w**4/3 + 5*w**3/6 + w**2 + 2*w. Let k be p(-5). Factor 0 - 4/3*t**3 + 0*t**k + 0*t**4 + 2/3*t**5 + 2/3*t.
2*t*(t - 1)**2*(t + 1)**2/3
Factor 4*m**3 - 4*m - 2*m**4 + 0*m**4 - 12*m**2 + 8 + 6*m**4.
4*(m - 1)**2*(m + 1)*(m + 2)
Let h = 507/1280 - -1/256. What is u in -h*u**2 + 4/5 + 2/5*u = 0?
-1, 2
Let k = 34 + -32. Let o(r) be the first derivative of -1/3*r**3 + 1/2*r**k - 1 + 2*r. Suppose o(s) = 0. Calculate s.
-1, 2
Let q(o) be the second derivative of 0 - 2*o - 20/7*o**7 + 3*o**2 + 1/4*o**4 - 42/5*o**6 + 9/2*o**3 - 15/2*o**5. What is b in q(b) = 0?
-1, -1/2, 2/5
Let r = -13 + 18. Let l(a) be the second derivative of 2*a**4 + 0 + 0*a**2 + 3/2*a**r + 4/15*a**6 - 4/3*a**3 - 2*a. Solve l(h) = 0.
-2, 0, 1/4
Let w = 2 - -2. Suppose -5*g = -2*s - 8, -w*g + 0 = -4*s - 4. Factor t**2 - s + t - t.
(t - 1)*(t + 1)
Let l = -6 + 2. Let d be (-156)/(-12) - l/(-3). Let 4/3 + 25/6*a**3 + 22/3*a + d*a**2 = 0. Calculate a.
-2, -2/5
Let j(x) be the third derivative of -x**5/30 + 2*x**4/3 + 3*x**3 + 15*x**2. Let j(w) = 0. Calculate w.
-1, 9
Let g(p) be the third derivative of 1/36*p**4 + 1/90*p**5 - 3*p**2 + 0 + 0*p - 2/9*p**3. Let g(i) = 0. Calculate i.
-2, 1
Suppose 5*n = -5*u + 40, 0*u = -3*u + 2*n - 1. Factor -1 - 4 + 2 + u*a**2.
3*(a - 1)*(a + 1)
Suppose 3*j + 24 = 3*c, 0*c + c - 5 = 0. Let h(y) = -y**3 - 3*y**2 + 2. Let g be h(j). Suppose -2*f + 4*f + 4*f + 2*f**g - 2*f = 0. Calculate f.
-2, 0
Let y(h) be the first derivative of -2*h**3/27 + 2*h/9 + 6. Factor y(g).
-2*(g - 1)*(g + 1)/9
Let d(c) = -c**3 + 6*c**2 + 6*c + 2. Let b be d(7). Let p(i) = -3*i**2 - 11*i. Let x(o) = 3*o**2 + 12*o. Let z(a) = b*x(a) - 6*p(a). Factor z(k).
3*k*(k + 2)
Let f(q) = q**5 + q**4 - q**3 - q**2 - 1. Let l(y) = 14*y**5 + 8*y**4 - 14*y**3 - 8*y**2 - 12. Let t(g) = -12*f(g) + l(g). Find d such that t(d) = 0.
-1, 0, 1, 2
Let w(z) be the first derivative of 1/4*z + 5 + 0*z**2 - 1/12*z**3. Factor w(x).
-(x - 1)*(x + 1)/4
Let d(s) be the first derivative of 4*s**5/15 + 2*s**4/3 + 4*s**3/9 - 60. What is r in d(r) = 0?
-1, 0
Let n(j) = j**3 - 5*j**2 - 7*j + 9. Let i be n(6). Suppose -1 = -3*z + 5. Suppose i*x**2 - 2*x + 0*x**2 - x**z + 0*x**2 - 4 = 0. What is x?
-1, 2
Let r(n) be the first derivative of -2*n**5/15 + n**4/2 - 2*n**3/9 - n**2 + 4*n/3 + 10. Suppose r(y) = 0. Calculate y.
-1, 1, 2
Let b be (81/18 - 2/4)/14. Find h such that -8/7 - 8/7*h - b*h**2 = 0.
-2
Factor 2/3 + 0*d - 2/3*d**2.
-2*(d - 1)*(d + 1)/3
Let i(q) be the third derivative of q**5/12 + 5*q**4/12 - 20*q**3/3 - 15*q**2. What is c in i(c) = 0?
-4, 2
Factor -a**3 - 12*a + 0*a + 6*a**2 - 24 + 4*a**3.
3*(a - 2)*(a + 2)**2
Let d be 8/2 - -1 - 6/3. Factor -1 + 10*u**d + 15/2*u - 33/2*u**2.
(u - 1)*(4*u - 1)*(5*u - 2)/2
Let w(h) = -4*h**2 - 9*h - 8. Let x(z) = -3*z**2 - 9*z - 8. Let t(b) = 2*w(b) - 3*x(b). Let v be t(-8). Factor 1/3*l**3 - 1/3*l**2 + v*l + 0.
l**2*(l - 1)/3
Let b(k) = -4*k**2 + 3. Let v(q) = 7*q**2 - 5. Suppose -2*f + 0*f - 20 = 0. Let i(m) = f*b(m) - 6*v(m). Factor i(a).
-2*a**2
Let w(n) be the third derivative of -35*n**8/24 - 29*n**7/36 + 179*n**6/72 - 17*n**5/24 - 25*n**4/36 + 5*n**3/9 + 12*n**2. Let w(h) = 0. Calculate h.
-1, -1/4, 2/7, 1/3
Let p(q) = 2*q - 2. Let i be p(3). Suppose 1 + 15 = -3*m + i*y, 8 = 3*m + 2*y. Find a, given that 2*a - a**2 + m*a**3 - 4*a**4 - a - 7*a**3 - a**2 = 0.
-1, 0, 1/4
Let y(l) be the third derivative of -l**6/360 - l**5/180 + l**4/36 + 5*l**2. Find n such that y(n) = 0.
-2, 0, 1
Let p = -743 - -743. Factor 4*y**3 - 2/3*y**4 + 0*y - 6*y**2 + p.
-2*y**2*(y - 3)**2/3
Let k(h) = -18*h + 201. Let x be k(11). What is s in -67/3*s**x - 3*s**5 + 19*s**2 - 8*s + 4/3 + 13*s**4 = 0?
2/3, 1
Let z = 3 - 2. Let p(d) = 51*d**2 - 2*d + 1. Let i be p(z). Factor -35*t**2 + 2*t - i*t**3 + 9*t**2 - 14*t**2 - 10*t.
-2*t*(5*t + 2)**2
Let m(y) = y**3 + 31*y**2 - 34*y + 26. Let j(g) = -g**3 - g**2 - g - 1. Let i(a) = -6*j(a) - m(a). Factor i(x).
5*(x - 2)**2*(x - 1)
Let j(z) = z**2 - 1. Let r(l) = 14*l**2 - 2*l - 16. Let v(a) = a**2 + 9*a + 2. Let c be v(-7). Let k(u) = c*j(u) + r(u). Find p, given that k(p) = 0.
-1, 2
Let w(k) be the third derivative of -k**6/300 + 2*k**5/75 - 10*k**2. Factor w(y).
-2*y**2*(y - 4)/5
Suppose -5*v = s + 5, 8 - 7 = -s - v. Factor 2/5*p + s - 2/5*p**2.
-2*p*(p - 1)/5
Let s = 35 - 36. Let g be (11/99)/(s/(-6)). Let 1/3*p**2 + 1/3 + g*p = 0. Calculate p.
-1
Let j be (172/(-44) + 4)*-1. Let v = j + 27/55. Factor 0 + 2/5*a - v*a**2.
-2*a*(a - 1)/5
Solve 1/4*g**3 - 1/4 + 1/4*g**2 - 1/4*g = 0 for g.
-1, 1
Let l(x) = -9*x**2 + 2*x - 3. Let s(z) = -19*z + 2*z**2 + 2*z**2 + z**2 + 2 + 18*z. Let h(b) = -4*l(b) - 7*s(b). Determine p, given that h(p) = 0.
-1, 2
Let y be 2*(5/(-2))/(-1). Suppose -1 = 2*s - y. Factor s*w + 2*w**2 - 2*w**3 - 1 - w**4 + 0*w + w**5 - w.
(w - 1)**3*(w + 1)**2
Suppose 6*u = u + 20. Suppose -2*x = 4*p - 8, 0 = -5*x - 16 - u. Suppose -4*y**4 + 2*y**p + 7*y**5 - 5*y**5 + 3*y**5 = 0. What is y?
0, 2/5
Let t(k) be the first derivative of -k**6/225 - k**5/75 - k**4/60 + k**3 + 2. Let u(o) be the third derivative of t(o). Find r, given that u(r) = 0.
-1/2
Let z(g) be the first derivative of 4/3*g**3 + 1/30*g**5 + 1/3*g**4 + 2 + 0*g + g**2. Let h(i) be the second derivative of z(i). Factor h(a).
2*(a + 2)**2
Let j(u) = u**3 + 5*u**2 - 4*u + 1. Let s be j(-5). Suppose -3 = 2*l - l, -3*i = -4*l - s. Factor -2*g**5 + 6*g**4 - 6*g**3 + i*g**5 - 3*g**5 + 2*g**2.
-2*g**2*(g - 1)**3
Suppose 5*j = -4*b - 25, -b - 2*j - 10 = -0*j. Factor 2/3*d**3 + b*d + 0 + 0*d**2.
2*d**3/3
Let u = 195848409/39886 + -181657/37. Let b = u - 1/98. Factor 2/11*t**3 + 0*t**2 - 4/11 - b*t.
2*(t - 2)*(t + 1)**2/11
Factor -6/13*a + 4/13 + 2/13*a**2.
2*(a - 2)*(a - 1)/13
Suppose -5*d = 2*s - 2, -3*s = -3 - 0. Let i(c) be the third derivative of 1/540*c**6 + 0 + 1/108*c**4 + 2*c**2 + 0*c + d*c**3 + 1/135*c**5. Factor i(g).
2*g*(g + 1)**2/9
Suppose 4*t + 3*l = 8, 5*t - 10 = -3*l - l. Let n be (3 + -4)/((-1)/t). Factor 3*c**4 + 4*c**3 - 4*c**3 - 9*c**n - 6*c + 0*c**3.
3*c*(c - 2)*(c + 1)**2
Factor 2*q**2 + 3*q**4 + 3*q**4 - q**4 - 2*q**5 - 6*q**3 + q**4.
-2*q**2*(q - 1)**3
Let g(q) = q**3 - 21*q**2 + 23*q - 12. Let i be g(20). Suppose 10*u = i - 18. Let 1/2*a + 0 + 3/2*a**4 + 1/2*a**2 - 5/2*a**u = 0. Calculate a.
-1/3, 0, 1
Let v(s) be the third derivative of -s**6/120 + s**5/60 + s**4/24 - s**3/6 - 32*s**2. Factor v(w).
-(w - 1)**2*(w + 1)
Let l(j) be the second derivative of j**6/135 - j**5/30 + j**4/27 - 14*j. Determine u so that l(u) = 0.
0, 1, 2
Find h such that 0*h**2 + 0*h**4 + 0 + 1/3*h**3 - 1/6*h - 1/6*h**5 = 0.
-1, 0, 1
Factor -3/5 - 3/5*b**2 + 6/5*b.
-3*(b - 1)**2/5
Suppose 0 + 1/2*t**2 + 0*t + 1/4*t**4 + 3/4*t**3 = 0. Calculate t.
-2, -1, 