) = 0. What is d?
-2, 0
Suppose 8 = -6*x + 26. Let l(o) be the first derivative of -1/10*o**4 + 0*o**2 + 0*o - 2/25*o**5 + 1 + 1/15*o**6 + 2/15*o**x. Factor l(n).
2*n**2*(n - 1)**2*(n + 1)/5
Let c = 54 - 34. Factor -4*i + 6*i**2 - i**4 + 2*i**4 + 1 + 16*i**3 - c*i**3.
(i - 1)**4
Let n(u) be the first derivative of 1/21*u**6 + 0*u**5 - 1/7*u**4 + 1/7*u**2 + 0*u**3 + 1 + 0*u. Solve n(c) = 0.
-1, 0, 1
Let w(g) be the third derivative of -g**8/3360 - g**7/560 - g**6/240 - g**5/240 + 5*g**3/6 - 6*g**2. Let v(a) be the first derivative of w(a). Factor v(z).
-z*(z + 1)**3/2
Let s(r) be the second derivative of -r**5/60 - r**4/24 + r**3/3 + r**2 - 3*r. Let q(p) be the first derivative of s(p). Suppose q(n) = 0. Calculate n.
-2, 1
Let o(i) be the third derivative of -i**6/450 - i**5/150 + i**4/15 + 7*i**3/6 - 6*i**2. Let s(v) be the first derivative of o(v). Let s(x) = 0. Calculate x.
-2, 1
Let f be (-8)/(-20) - 26/(-10). Let t(m) = 5*m + 2. Let c be t(f). Suppose -32*p**5 - 10*p**4 - 3*p**3 - c*p**4 - 3*p**3 + 11*p**5 = 0. Calculate p.
-1, -2/7, 0
Let s(t) = 6*t**3 + 2*t**2 + 10*t + 6. Let u(m) = -m**3 - m - 1. Let w(o) = s(o) + 8*u(o). Suppose w(j) = 0. What is j?
-1, 1
Let m(f) be the first derivative of f**7/21 - f**5/5 + f**3/3 + 3*f - 2. Let r(x) be the first derivative of m(x). Determine p, given that r(p) = 0.
-1, 0, 1
Let w(d) be the first derivative of 7*d + 2*d**2 - 3 + 5/2*d**4 + 0*d**3. Let f(i) = 7*i**3 + 3*i + 5. Let y(t) = 7*f(t) - 5*w(t). Factor y(b).
-b*(b - 1)*(b + 1)
Let o(r) be the first derivative of -1/90*r**5 + 0*r - 1/36*r**4 + 2 + 2/9*r**3 - 2*r**2. Let p(u) be the second derivative of o(u). Factor p(q).
-2*(q - 1)*(q + 2)/3
Let w(t) be the second derivative of t**6/10 - 3*t**5/20 - t**4/2 + t - 4. Find m, given that w(m) = 0.
-1, 0, 2
Let z(i) = 2*i + 10. Let j be z(-6). Let b = 2 + j. Factor -q + 1/2*q**2 + b.
q*(q - 2)/2
Let m(h) be the second derivative of h**4/4 + h**3/2 - 48*h. Factor m(w).
3*w*(w + 1)
Let r(o) be the third derivative of o**8/4200 + 5*o**3/6 - 3*o**2. Let c(j) be the first derivative of r(j). Solve c(d) = 0.
0
Suppose 5*a - 5 + 30 = 0, 2*n - 19 = 3*a. Suppose -2/5*h - 1/5*h**n + 3/5 = 0. What is h?
-3, 1
Let i = -52 - -52. Suppose i*a**3 + 2/9*a**2 + 0*a - 2/9*a**4 + 0 = 0. What is a?
-1, 0, 1
Let n = -71 - -74. Find m, given that -1/3*m + 0 + 1/3*m**n + 1/3*m**2 - 1/3*m**4 = 0.
-1, 0, 1
Solve 0 + 1/2*q**4 + 0*q - 3/2*q**2 - q**3 = 0.
-1, 0, 3
Suppose -3*a**5 + 14/3*a**3 - 5/3*a - 1/3 + a**4 - 2/3*a**2 = 0. What is a?
-1, -1/3, 1
Suppose 5*a + 2*x + 3 = -8, -3*x = -6. Let t = a + 5. Factor -1 - 2*m**3 - 6*m**t - 6*m - 4 + 3.
-2*(m + 1)**3
Suppose 3*n = y + 2*y + 18, 5*y = -4*n + 6. Let d be (-5)/(-2) + y/(-4). Factor 0*v**3 - v - 2*v**2 + 2*v + v**d.
v*(v - 1)**2
Let r(y) = -2*y**3 + 11*y**2 + 5*y + 5. Let v(f) = -3*f**3 + 12*f**2 + 6*f + 6. Let m(b) = -6*r(b) + 5*v(b). What is w in m(w) = 0?
-2, 0
Suppose 3*c + 2 = -2*l + 6, 0 = -5*c + 2*l - 4. Determine d, given that c*d + 0 + 0*d**3 + 1/3*d**4 + 0*d**2 + 1/3*d**5 = 0.
-1, 0
Let z(m) = -m**3 + 2*m**2 + 3*m - 3. Let w be z(3). Let u be 3 + (-4)/(-6)*w. Find f such that -2*f + f**2 - 3 + f**2 + 2*f**3 + u = 0.
-1, 1
Let z(i) = i - 2. Suppose 23 - 3 = 5*s. Let d be z(s). Factor 1/5*c**d + 0*c + 0 - 3/5*c**4 + 2/5*c**3.
-c**2*(c - 1)*(3*c + 1)/5
Let s be 3 - (-4)/(-1 + 5). Factor -n - n**3 + s*n + 6*n**2 + n**3 - 6*n**4 - 3*n**5.
-3*n*(n - 1)*(n + 1)**3
Let u(n) be the second derivative of 0*n**4 + 6*n + 0*n**3 + 0*n**2 + 0 + 1/30*n**6 - 1/84*n**7 - 1/40*n**5. What is d in u(d) = 0?
0, 1
Determine l, given that -3/4 + 1/2*l + 1/4*l**2 = 0.
-3, 1
Let d(o) be the first derivative of -121*o**3/18 - 11*o**2/3 - 2*o/3 - 6. Suppose d(b) = 0. Calculate b.
-2/11
Suppose 0 = 2*l + l. Determine i, given that l - i**4 + 3 - 3 + i**3 = 0.
0, 1
Factor -12/7 - 2*v**2 + 2/7*v**4 - 26/7*v + 2/7*v**3.
2*(v - 3)*(v + 1)**2*(v + 2)/7
Suppose -5*h = -15, t - 3*h + 8 = h. Factor -6 - 48*m**2 - 6*m - 7*m - 42*m**3 - 14*m - 18*m**t + 9*m**5 - 12*m**5.
-3*(m + 1)**4*(m + 2)
Let m = 2081/4 + -515. Suppose -m*z - 3/4*z**3 + 15/4*z**2 + 9/4 = 0. Calculate z.
1, 3
Let c(q) be the second derivative of 3*q**5/100 - 3*q**4/20 + q**3/5 - 8*q + 2. Factor c(z).
3*z*(z - 2)*(z - 1)/5
Factor 42*j**2 - 55*j - 36*j**2 + 49*j - 2*j**3 + 2.
-2*(j - 1)**3
Let c be 8/20 - (-13)/(585/144). Factor -c*z + 3/5*z**2 + 27/5.
3*(z - 3)**2/5
Let d be (-1)/(1/(-24)) - -2. Solve n**3 - 48*n**2 - 21 - 21*n**3 - 10*n - d*n + 13 = 0.
-1, -2/5
Factor -1/3*i**2 + 1/3 + 0*i.
-(i - 1)*(i + 1)/3
Let m = -44 + 89/2. Factor 0*w - m + 1/2*w**2.
(w - 1)*(w + 1)/2
Suppose -100 = 15*h - 65*h. Determine a, given that -2/9*a**3 + 0 - 2/9*a - 4/9*a**h = 0.
-1, 0
Let w(v) be the first derivative of 7*v**6/4 + 57*v**5/10 + 45*v**4/8 + v**3/2 - 3*v**2/2 - 1. Factor w(b).
3*b*(b + 1)**3*(7*b - 2)/2
Factor -20*l + 14*l**3 - 24*l**2 - 8*l**3 - 6 - 2*l**4 - 3*l**3 - 15*l**3.
-2*(l + 1)**3*(l + 3)
Suppose -2*c - 5*l = -7*c + 90, 0 = -2*c + l + 32. Factor 2 - 5*z - 20*z**3 + 2*z**3 + 8*z - c*z**2 + 3*z**3.
-(z + 1)*(3*z + 1)*(5*z - 2)
Let p(r) = -10*r - 247. Let o be p(-25). Find l such that -3/5*l**4 + 9/5*l**o + 3/5*l - 9/5*l**2 + 0 = 0.
0, 1
Let p(s) be the first derivative of -s**6/420 - s**5/105 - s**4/84 + s**2/2 + 3. Let w(b) be the second derivative of p(b). Factor w(a).
-2*a*(a + 1)**2/7
Let w(d) be the third derivative of 0*d - 3*d**2 - 2/3*d**4 + 2/15*d**6 + 0 + 1/15*d**5 - 2/3*d**3. Factor w(o).
4*(o - 1)*(o + 1)*(4*o + 1)
Suppose -1/2*v**3 - 1/2*v + 0 - v**2 = 0. What is v?
-1, 0
Let t(q) be the third derivative of -q**8/3360 - q**7/840 + q**5/120 + q**4/48 + 7*q**3/6 + 5*q**2. Let k(g) be the first derivative of t(g). Factor k(x).
-(x - 1)*(x + 1)**3/2
Let u(b) be the second derivative of -14*b**7/3 - 238*b**6/15 - 67*b**5/5 + 23*b**4/3 + 32*b**3/3 - 8*b**2 + 16*b. Suppose u(k) = 0. Calculate k.
-1, 2/7
Let j = -163 + 335/2. Let -33/2*n**4 - 9*n**5 - 9/2*n**3 + j*n**2 + 3/2*n + 0 = 0. What is n?
-1, -1/3, 0, 1/2
Let l(h) be the third derivative of h**7/10080 - h**5/480 - 5*h**4/24 - 4*h**2. Let n(x) be the second derivative of l(x). Factor n(p).
(p - 1)*(p + 1)/4
Let b(g) be the second derivative of 1/20*g**4 + 27/10*g**2 + 0 - g - 3/5*g**3. Suppose b(t) = 0. What is t?
3
Suppose 20 = -4*t + 4. Let r be t/12 + 4/8. Factor 1/6*k + 0 - r*k**3 + 1/6*k**2 - 1/6*k**4.
-k*(k - 1)*(k + 1)**2/6
Let t = 16 - 22. Let i be (-2)/t + 4/36. Factor -i + 2/9*m + 2/9*m**2.
2*(m - 1)*(m + 2)/9
Factor b**3 - b**5 + 2*b**5 - b**4 - b**4.
b**3*(b - 1)**2
Let f(v) be the second derivative of -v**8/2016 + v**7/1260 + v**6/720 - v**5/360 + v**2 + 3*v. Let n(u) be the first derivative of f(u). Factor n(p).
-p**2*(p - 1)**2*(p + 1)/6
Let r be 0 + 5/40*4. Let l(z) be the first derivative of r*z**2 + 2 - 1/3*z**3 + 1/5*z**5 + 0*z - 1/4*z**4. Determine m, given that l(m) = 0.
-1, 0, 1
Suppose 0*b = -5*b + 15. Let u(y) = -y**3 + 4*y**2 - y - 4. Let s be u(b). Let 2 - 3 + 3 + 4*i + 2*i**s = 0. Calculate i.
-1
Let x(f) = f**2 - 2*f - 1 - 1 + 1. Let n be x(-1). Suppose n*k + k + 2 - 2*k - k**2 = 0. What is k?
-1, 2
Let w(f) be the first derivative of f**3/12 + f**2 + 4*f + 3. Solve w(s) = 0 for s.
-4
Let n(f) = -f + 14. Let w be n(10). Factor -3*v**2 - 2*v**3 - v**2 - 2*v + 4*v + w.
-2*(v - 1)*(v + 1)*(v + 2)
Let k be (-6)/5*15/(-6). Let a be 3 - (-2 - -5)/k. Let -3*b**4 + b + 5*b**2 + 2*b**4 - a*b**5 + 3*b**3 + b**5 + b = 0. Calculate b.
-1, 0, 2
Factor 80*r**2 + 1 + 2 + 29*r + 2 + 11*r.
5*(4*r + 1)**2
Let n(f) be the first derivative of 3*f**4/4 + 4*f**3 - 9*f**2/2 - 54*f - 6. Factor n(j).
3*(j - 2)*(j + 3)**2
Suppose -g - 23 = -5*m, -3*m + 2 = -3*g - 7. Suppose 7*k**2 + 2*k**5 + 4 + k**2 - 12*k**g + 6*k - 8*k**3 = 0. Calculate k.
-1, 1, 2
Let a(z) = 8*z**2 + 9*z - 17. Let m(l) = 2*l**2 + 2*l - 4. Suppose -4*f = -y - 6, 0 = -4*y + 2*f - 4*f - 6. Let x(p) = y*a(p) + 9*m(p). Let x(d) = 0. What is d?
-1, 1
Suppose -3*u**3 + 0*u**3 + 6*u**3 + 35*u**4 + 7*u**3 = 0. Calculate u.
-2/7, 0
Let o be (4/(-36))/(8/(-24)). Factor 0*c**2 + 1/3*c - o*c**3 + 1/6 - 1/6*c**4.
-(c - 1)*(c + 1)**3/6
Let -3/2*n**4 - 75*n - 90*n**2 - 21*n**3 + 375/2 = 0. What is n?
-5, 1
Let -48/5*j**2 - 1/5 - 64/5*j**3 - 12/5*j = 0. Calculate j.
-1/4
Suppose -4 = 2*n - 8. Factor 0 