at x(n) = 0.
1, 2
Factor 0*o**2 + 15*o + 2*o**2 - 2*o**2 - 5*o**2.
-5*o*(o - 3)
Let b be 0*(1/1)/(-1). Suppose -7/3*m**2 + 8/3*m**3 - m**4 + 2/3*m + b = 0. Calculate m.
0, 2/3, 1
Suppose 4*b = 4, 2*b = -5*y + 4 + 8. Factor 0*n + 0 + 6/5*n**3 + 2/5*n**4 + 4/5*n**y.
2*n**2*(n + 1)*(n + 2)/5
Let d be (-4 - -6)/((-2)/(-7)). Let c(y) = -y**2 + 7*y + 3. Let f be c(d). Factor -1 - 3 - 2*s**2 + f + 3.
-2*(s - 1)*(s + 1)
Let f(r) = r + 6. Let g be f(-3). Let b(h) = 12*h**2. Let y be b(-1). Factor -c**4 + 12*c**3 - y*c**g.
-c**4
Suppose -2 = -2*t + 2. Suppose 11*k = -k. Solve 2*i + k - 2*i**t - 3/2*i**3 = 0.
-2, 0, 2/3
Let h be ((-6)/(-18))/((-1)/(-9)). Factor -2*u**2 - 4*u - 9*u**3 + 2*u - h*u**3 + 8*u**4 - 2*u**5 + 10*u**2.
-2*u*(u - 1)**4
Factor 0*s + 0*s**3 + 0*s**2 + 0 + 1/4*s**4 + s**5.
s**4*(4*s + 1)/4
Suppose 0 = t - 2*v - 11, 8*v - 3*v = -20. Factor 3*h**3 - h**3 + h**2 + h**2 + 0*h**t.
2*h**2*(h + 1)
Let k be 9*((-6)/15 - (-520)/1050). What is v in 2/7*v**4 + k - 4/7*v**3 + 4/7*v - 8/7*v**2 = 0?
-1, 1, 3
Let p(g) be the second derivative of g**6/30 + g**5/8 - g**4/8 - 5*g + 1. Suppose p(j) = 0. Calculate j.
-3, 0, 1/2
Let y(x) be the first derivative of -3/2*x**2 - x**6 + 2 - 5*x**3 - 21/5*x**5 - 27/4*x**4 + 0*x. Factor y(t).
-3*t*(t + 1)**3*(2*t + 1)
Let c(a) be the second derivative of a**6/1620 + a**5/135 + a**4/27 + 2*a**3/3 + 7*a. Let x(z) be the second derivative of c(z). Factor x(i).
2*(i + 2)**2/9
Suppose -17 + 7 = 5*o. Let l be 1/(-2)*o + -1. Determine b, given that l*b + 0 + 2/5*b**2 + 2/5*b**4 - 4/5*b**3 = 0.
0, 1
Let q be (-26)/(-14) + (-4)/(-28). Suppose 5*i**2 - 11*i**2 + 11*i**2 - 30*i + 9 + 20*i**q = 0. Calculate i.
3/5
Let p(i) be the second derivative of i**4/6 + 2*i**3/3 + i**2 - 2*i. Factor p(x).
2*(x + 1)**2
Let f(p) be the third derivative of 1/210*p**7 + 0*p**3 + 0*p - 1/60*p**5 + 0*p**6 - p**2 + 0 + 0*p**4. Factor f(v).
v**2*(v - 1)*(v + 1)
Let z(h) be the third derivative of -8*h**7/105 + 19*h**6/30 - 9*h**5/5 + 4*h**4/3 + 8*h**3/3 + 4*h**2. Let z(b) = 0. What is b?
-1/4, 1, 2
Let a(w) be the third derivative of w**7/840 - w**3/2 + 3*w**2. Let y(q) be the first derivative of a(q). Suppose y(l) = 0. What is l?
0
Let q(b) = 6*b - 4*b**3 - 3*b**2 - 6 + b - 1. Let l(v) = -v**3 - v**2 + 2*v - 2. Let i(k) = 7*l(k) - 2*q(k). Solve i(h) = 0.
0, 1
Let l be ((-4)/10)/((-5)/50). Let 7/2*a + 3*a**2 + 7*a**l - 25/2*a**3 - 1 = 0. Calculate a.
-1/2, 2/7, 1
Let z(d) = 15*d**2 + 2*d + 5. Let u(s) = s**2 + s + 1. Let p(f) = -5*f**2 + f. Let a(y) = p(y) - 2*u(y). Let b(l) = -5*a(l) - 2*z(l). Solve b(k) = 0 for k.
-1/5, 0
Suppose -24*b**3 + 2 + 44*b**3 - 24*b**3 - 2*b**4 + 4*b = 0. What is b?
-1, 1
Let y(m) be the second derivative of m**6/120 - m**5/40 + m**3/6 - 4*m. Let f(n) be the second derivative of y(n). Factor f(i).
3*i*(i - 1)
Let l be ((-12)/18)/((-1)/(21/2)). Let i(m) be the second derivative of 0*m**2 + m + 0 - 1/24*m**4 + 0*m**3 - 1/15*m**6 - 1/56*m**l - 7/80*m**5. Factor i(g).
-g**2*(g + 1)**2*(3*g + 2)/4
Let v(z) be the third derivative of -2*z**7/105 - 4*z**6/15 - 7*z**5/15 - 32*z**2. Factor v(j).
-4*j**2*(j + 1)*(j + 7)
Let c(h) = -3*h - 1. Let x be c(-7). Determine z, given that -8*z + x*z + 29*z**3 - 14*z**3 + 9*z**2 + 3*z**4 + 15*z**2 = 0.
-2, -1, 0
Factor -11*o + 4*o**4 - 10*o - 3*o - 28*o**2.
4*o*(o - 3)*(o + 1)*(o + 2)
Let p(f) be the first derivative of -1/12*f**4 - 1/6*f**2 - 2/9*f**3 + 3 + 0*f. Factor p(y).
-y*(y + 1)**2/3
Let y(p) = 2*p**2 - 4*p + 6. Let g be (-1)/3*(-15)/(-1). Let a(w) = -2*w**2 + 4*w - 7. Let u(l) = g*y(l) - 4*a(l). Factor u(o).
-2*(o - 1)**2
Let y = 10/7 - 16/21. Factor y*i**3 + 0 - 2/3*i - 2/3*i**4 + 2/3*i**2.
-2*i*(i - 1)**2*(i + 1)/3
Factor t + 2*t**4 + 10*t**4 - t - 15*t**3 + 6*t**2 - 3*t**5.
-3*t**2*(t - 2)*(t - 1)**2
Suppose -4 + 13 = 3*i. Factor -3*c**4 - 15*c**2 + 3*c + 12*c**3 + 0*c + i*c.
-3*c*(c - 2)*(c - 1)**2
Let v(n) be the third derivative of n**6/480 + 3*n**2. Factor v(i).
i**3/4
Let m(k) be the first derivative of 15*k**4/38 + 22*k**3/57 + 2*k**2/19 + 4. Determine o so that m(o) = 0.
-2/5, -1/3, 0
Suppose 0 = j + j - 4. Factor 4*p**2 - 2*p**5 - 8*p**3 - 6*p**4 + 2*p**3 - 6*p**j.
-2*p**2*(p + 1)**3
Let y = -12/19 - -146/171. Factor -y*o**3 - 2/9*o - 4/9*o**2 + 0.
-2*o*(o + 1)**2/9
Let a(l) = 8*l + 32. Let c be a(-4). Let w = 1 - -1. What is u in 0*u + c + 1/4*u**w = 0?
0
Solve 0 + 0*f - 1/3*f**2 + 1/3*f**3 = 0 for f.
0, 1
Let y be (-1)/(-4) - (-47)/4. Factor 4*s**2 + 6*s**2 - y*s**3 + 2*s**2 + 3*s**4.
3*s**2*(s - 2)**2
Let x be (-66)/(-14) + 4/14. What is g in 0 + 0*g + 0*g**2 + 2/9*g**4 - 2/9*g**x + 0*g**3 = 0?
0, 1
Let b = -32 - -50. Suppose w + 3*q - b = -0*w, -4*w + 37 = 5*q. Find v such that -5*v + v - 5*v + 4*v**3 + 0*v**3 - w*v**2 - 2 = 0.
-1, -1/4, 2
Let d(p) be the second derivative of -2/9*p**3 + 1/36*p**4 + 2*p + 2/3*p**2 + 0. Factor d(g).
(g - 2)**2/3
Let b = -11 + 13. Suppose 0 = -b*j + 3*j. Find x, given that j - 2/5*x + 2/5*x**2 = 0.
0, 1
Let i(z) be the first derivative of -1/5*z**2 + 1/10*z**4 - 2/5*z - 2 + 2/15*z**3. Let i(c) = 0. Calculate c.
-1, 1
Suppose -2*c + 2*d = -2, -c - 4 = 5*d - 29. Suppose -15 = 5*f, -f + 2 = 5*o - 5. Factor 3*i + 3*i**3 + i + 2 - 4*i**o + 0 - c*i.
(i - 1)**2*(3*i + 2)
Let u = -10 + 10. Let y be (-5)/((-100)/16) - 0. What is z in u + 2/5*z**5 + 2*z**2 - y*z - 6/5*z**3 - 2/5*z**4 = 0?
-2, 0, 1
Let d = -1 + 1. Factor d*o**2 + 4*o**4 + 3*o**3 - 11*o**3 + 4*o**2 + 0*o**2.
4*o**2*(o - 1)**2
Factor 0 + 1/6*v**2 - 1/6*v**3 - 1/6*v**4 + 1/6*v.
-v*(v - 1)*(v + 1)**2/6
Suppose 56 = m + 3*m. Let v be 6 - 4 - 16/m. Factor -4/7*l - 2/7*l**3 + v*l**2 + 0.
-2*l*(l - 2)*(l - 1)/7
Let j(l) be the second derivative of -9*l**6/55 + 27*l**5/110 - 3*l**4/22 + l**3/33 - 2*l + 2. Factor j(c).
-2*c*(3*c - 1)**3/11
Let i be (-1)/(-12) - (-4)/6. Find p such that -3/4*p - i*p**2 + 0 = 0.
-1, 0
Let i(o) = o + 13. Let r be i(-9). Let g(s) be the second derivative of -3*s - 1/2*s**r + 0*s**3 + 0*s**2 - 3/10*s**5 + 0 - 1/20*s**6. Factor g(u).
-3*u**2*(u + 2)**2/2
Let m = 54736/35 - 7418/5. Let f = m - 80. Find d, given that 0*d**2 - 2/7*d**4 - f*d**3 + 0 + 0*d = 0.
-1, 0
Let r(c) be the third derivative of -c**6/40 + 3*c**5/10 - 9*c**4/8 + 12*c**2. Let r(x) = 0. Calculate x.
0, 3
Let c(y) be the third derivative of 31*y**5/150 + 29*y**4/60 - 2*y**3/15 + 38*y**2. Factor c(f).
2*(f + 1)*(31*f - 2)/5
Suppose -10 = -5*d - 0*d. Find q such that -2*q + q**2 + 1 - q**2 + q**d = 0.
1
Let h be 0 - (1 + (-15)/9). Let a(y) be the third derivative of 2*y**2 - h*y**3 + 1/4*y**4 + 0 + 0*y - 1/30*y**5. Factor a(o).
-2*(o - 2)*(o - 1)
Let j be (-12)/(-7) + 8/28. Let n(c) be the third derivative of 0 - 1/28*c**4 + 3*c**j + 1/210*c**5 + 0*c + 2/21*c**3. Suppose n(y) = 0. What is y?
1, 2
Let y(t) be the first derivative of -6*t**5/25 + 4*t**4/5 - 4*t**3/5 + 2*t/5 + 8. Factor y(p).
-2*(p - 1)**3*(3*p + 1)/5
Determine b so that -2/9*b**2 + 0 - 4/9*b = 0.
-2, 0
Suppose 6*d = d + 25. Factor c**5 + 2*c**4 - 5*c + 4*c - 2*c**2 + 0*c**d.
c*(c - 1)*(c + 1)**3
Let u(s) = -2*s**2 + 13*s - 5. Let f be u(7). Let p be (-3)/(-6) - (-3)/f. Solve 1/4*c**2 + p*c + 0 = 0.
-1, 0
Let u(k) be the second derivative of k**5/120 - k**4/18 + k**3/12 - 17*k. Factor u(x).
x*(x - 3)*(x - 1)/6
Let i(q) be the second derivative of -7*q**6/1440 - q**5/240 + q**3/6 + 2*q. Let p(s) be the second derivative of i(s). Suppose p(g) = 0. What is g?
-2/7, 0
Solve 44/3*a**4 - 8*a**5 + 0 + 4/3*a**2 + 0*a - 8*a**3 = 0 for a.
0, 1/3, 1/2, 1
Suppose -3*a - 9 = -5*f + 2, -8 = -5*f + 4*a. Let q be f/14 - (-50)/21. Factor q*z**2 - 10/3*z + 4/3 - 2/3*z**3.
-2*(z - 2)*(z - 1)**2/3
Let a(d) = d**3 - 5*d**2 - 5*d - 2. Let s be a(6). Suppose -2 + 9 = s*v - u, 4*u = v + 2. Determine b, given that -v*b**3 - 2*b**5 + b**4 - b**4 - 4*b**4 = 0.
-1, 0
Let w = -1 + 3. Let 8 + 4*b**2 + b - 8 - w*b**2 + b**3 = 0. Calculate b.
-1, 0
Let p be 17 - -1*(-1 + 2). Find k, given that -3 - 1 - 24*k**3 - 8*k - 46*k**2 - p*k = 0.
-1, -2/3, -1/4
Let w(c) be the second derivative of 3*c**5/20 + c**4 + 2*c**3 + 2*c. Find s, given that w(s) = 0.
-2, 0
Suppose 4*w**2 - w**2 - w**2 - 6 - 2 = 0. Calculate w.
-2, 2
Let m be (4/(-60))/((-12)/40). Let v = -55/12 - -21/4. Factor -v*s + 4/9 + m*s**2.
2*(s - 2)*(s - 1)/9
What is y in 2/11*y**4 + 0 + 0*y + 0*