*2 + 0 - 1/36*x**r. Factor w(t).
-(t - 2)*(t + 1)/3
Suppose 3*t - 2*t = 6. Let 8*g - g**2 + t*g**2 + 7*g**2 + 0*g**2 = 0. What is g?
-2/3, 0
Let p be ((-3)/(-6))/(5 + 20/(-8)). Factor p - 1/5*z**4 + 0*z**2 + 2/5*z - 2/5*z**3.
-(z - 1)*(z + 1)**3/5
Let q(n) be the second derivative of n**6/135 - n**4/27 + n**2/9 - 2*n. Solve q(k) = 0.
-1, 1
Let i be 3/(9/3) - (-25)/(-35). Factor -2/7*o**2 + i*o + 0.
-2*o*(o - 1)/7
Let p(i) = i**4 - 31*i**3 + 7*i**2 + 103*i + 89. Let j(n) = 10*n**3 - 2*n**2 - 34*n - 30. Let x(z) = 14*j(z) + 4*p(z). Factor x(w).
4*(w - 2)*(w + 2)**3
Let g = 149 - 147. Let b(j) be the second derivative of 0 + 1/4*j**4 + 4*j - j**3 + 3/2*j**g. Factor b(z).
3*(z - 1)**2
Let f be (-2)/4 + 1/2. Let b(c) be the second derivative of 0 + 1/40*c**5 - 2*c + 0*c**3 + f*c**2 + 0*c**4 - 1/30*c**6. Factor b(v).
-v**3*(2*v - 1)/2
Let x(k) be the second derivative of -k**9/45360 - k**8/20160 - k**4/12 - 3*k. Let y(t) be the third derivative of x(t). Factor y(f).
-f**3*(f + 1)/3
Suppose -2*y - 1228 = -2*i, 0*y + 610 = -y + 3*i. Let n = 8014/13 + y. Determine l so that 2/13*l**5 + 2/13 - 6/13*l**4 + 4/13*l**2 - n*l + 4/13*l**3 = 0.
-1, 1
Factor 30*q**3 - 335*q**2 + 52*q - 5*q**4 + 270*q**2 + 8*q - 20.
-5*(q - 2)**2*(q - 1)**2
Factor 1/4*v**2 + 0 - 1/4*v.
v*(v - 1)/4
Let q(m) be the third derivative of m**5/15 - 8*m**3/3 - 2*m**2. Factor q(g).
4*(g - 2)*(g + 2)
Let p(l) be the second derivative of l**4/4 + 3*l**3/2 + 3*l. Find d, given that p(d) = 0.
-3, 0
Suppose -5*j + 5 = -5. Factor 2 + 2/9*b**j - 4/3*b.
2*(b - 3)**2/9
Find a, given that -3/2*a**4 + 0*a + 0*a**2 + 1/2*a**5 + 0 + a**3 = 0.
0, 1, 2
Let y(w) = -w**2 - 13*w + 4. Let t be y(-13). Factor -f - 16 - 20*f**2 - f - 8*f - 22*f - t*f**3.
-4*(f + 1)*(f + 2)**2
Suppose 22/7*s + 8/7*s**2 - 6/7 = 0. What is s?
-3, 1/4
Let c(i) be the third derivative of i**5/450 - i**4/180 - 6*i**2. Suppose c(t) = 0. What is t?
0, 1
Let v = 6 + -3. Suppose 0 = -6*x + v*x. Factor -3*q**2 + 4*q**2 + x*q + 2*q.
q*(q + 2)
Let a(d) be the second derivative of 5*d**7/189 + 2*d**6/135 - d**5/6 + 2*d**4/27 + 4*d**3/27 - 4*d. Solve a(x) = 0.
-2, -2/5, 0, 1
Let x be (-2)/12 + 62/12. Determine h so that -2*h + x*h - 15*h**2 + 12*h**2 = 0.
0, 1
Let s(i) be the first derivative of i**4 - 52*i**3/3 + 96*i**2 - 144*i - 38. Factor s(b).
4*(b - 6)**2*(b - 1)
Let b be 2/8 - (-13)/(-84). Let o(t) be the first derivative of 2/7*t - 2/7*t**2 + b*t**3 - 2. Find y such that o(y) = 0.
1
Let r(i) = 2*i - 7. Let x be r(5). Factor -2*g**2 + 2 - 2*g - 2*g**3 + 4*g**x + 0*g**3.
2*(g - 1)**2*(g + 1)
Find o, given that -5*o**4 + 2*o**4 - 23*o**3 + 7*o**3 - 8*o - o**4 - 20*o**2 = 0.
-2, -1, 0
Let m(l) be the second derivative of -l**6/15 + l**4/2 + 2*l**3/3 + 11*l. Let m(w) = 0. What is w?
-1, 0, 2
Let i(u) = -71*u**3 + 206*u**2 - 136*u + 20. Let j = 22 + -7. Let d(g) = 285*g**3 - 825*g**2 + 543*g - 81. Let y(r) = j*i(r) + 4*d(r). Factor y(b).
3*(b - 2)*(5*b - 2)**2
Let h(b) = -b**2 + 5*b + 3. Let v(d) = d**2 - 6*d - 4. Suppose 0 = -p - 3. Let f(o) = p*v(o) - 4*h(o). Factor f(r).
r*(r - 2)
Let w be 1*(1 + 3 + -3). Let i be (w - 3)*1/(-7). Factor 4/7*f**3 + 0 + 6/7*f**2 + i*f.
2*f*(f + 1)*(2*f + 1)/7
Let j(u) be the first derivative of -u**4/4 + u**3/3 - u**2/2 - u + 1. Let l(v) = 16*v**3 - 40*v**2 + 30*v - 10. Let b(p) = 2*j(p) - l(p). Factor b(k).
-2*(k - 1)*(3*k - 2)**2
Let c(x) be the first derivative of 9/2*x**4 - 1 - 2*x - 9/2*x**6 + 17/2*x**2 - 44/3*x**3 + 54/5*x**5. Factor c(d).
-(d - 2)*(d + 1)*(3*d - 1)**3
What is c in 33/8*c - 3/4 - 27/8*c**2 = 0?
2/9, 1
Suppose b = s + 5, 4*b + 3*s - 8 = -2. Factor 2/3*n**b - 1/3*n**4 + 1/3 + 0*n**2 - 2/3*n.
-(n - 1)**3*(n + 1)/3
Let w(h) = -h**3 - 8*h**2 - 6*h - 12. Let c be w(-8). Determine i so that -8 - 2*i + 81*i**3 - 2*i + 3*i**3 + 52*i**2 + c*i**4 = 0.
-1, -2/3, 1/3
Let g be ((-3)/2)/((-81)/18 + 4). Let -1/2*m**g - 5/6*m**2 + 2/3 + 2/3*m = 0. Calculate m.
-2, -2/3, 1
Suppose -3*j + 5*j - 2 = 0, 0 = 5*y - 3*j - 17. Let c**3 + 3*c**y - c**3 + 4*c**5 - 3*c**2 + c + 2*c**3 - 7*c**3 = 0. What is c?
-1, 0, 1/4, 1
Let r(h) be the third derivative of -h**8/9240 - h**7/1540 - h**6/660 - h**5/660 + 2*h**3/3 + 3*h**2. Let y(l) be the first derivative of r(l). Factor y(n).
-2*n*(n + 1)**3/11
Factor 43*q**4 - 8*q**4 - 16*q**4 + 4*q**5 - 15*q**4 - 8*q**3.
4*q**3*(q - 1)*(q + 2)
Suppose 6*u**3 - 3*u**2 + 3*u**2 + 20*u**4 - 23*u**4 = 0. Calculate u.
0, 2
Find v such that 1/7*v**2 - 3/7 + 2/7*v = 0.
-3, 1
Let a(z) be the third derivative of -z**5/270 + 3*z**2. Solve a(f) = 0 for f.
0
Let u be (-182)/(-39)*(-3)/(-2). Factor u*g + 7*g - 4*g + 3*g**4 - 9*g**2 - 4*g.
3*g*(g - 1)**2*(g + 2)
Let f(s) be the third derivative of -1/120*s**5 + 0*s + 0 - s**2 + 1/12*s**4 - 1/4*s**3. Factor f(z).
-(z - 3)*(z - 1)/2
Let i(n) be the third derivative of n**8/50400 - n**7/12600 + 2*n**5/15 + 9*n**2. Let y(m) be the third derivative of i(m). Factor y(w).
2*w*(w - 1)/5
Let a(o) = -40*o + 92*o**2 + 4 - 10*o + 6 - 37*o**3. Let t(l) = 38*l**3 - 91*l**2 + 49*l - 11. Let m(q) = -3*a(q) - 2*t(q). Let m(f) = 0. Calculate f.
2/7, 2/5, 2
Let u be 1/2 - 1/(-2). Let v be (-8)/(-3) - u/(-3). Suppose -4*y**3 - 6*y**2 + 3*y**3 + 12*y + 2*y**v - 8 = 0. Calculate y.
2
Let m(z) be the first derivative of -7/6*z**6 + 0*z + 0*z**3 + 0*z**2 - 2 - z**5 + 1/2*z**4. Solve m(t) = 0.
-1, 0, 2/7
Let h(i) = -2*i - 1. Let f be h(1). Let v(w) = -3*w**3 + w**2 + 7*w - 1. Let k(a) = 2*a**3 - 6*a + 1. Let t(n) = f*v(n) - 4*k(n). Suppose t(q) = 0. Calculate q.
1
Let m(k) = -3*k - 11. Let q be m(-6). Suppose -5*f + q = -3. Factor -14*y**f - 8/7 + 8*y.
-2*(7*y - 2)**2/7
Let b be (-60)/(-18)*6/4. Factor -b + 4 + u**2 - 2*u**2 + 2.
-(u - 1)*(u + 1)
Let j(h) be the third derivative of 0*h + 0 + 1/18*h**3 - 1/144*h**4 - 1/60*h**5 - 8*h**2. Find t such that j(t) = 0.
-2/3, 1/2
Factor 0 + b**2 - 1/2*b**3 + 3/2*b.
-b*(b - 3)*(b + 1)/2
Factor 5/3*m**2 + 7/3*m + 2/3.
(m + 1)*(5*m + 2)/3
Let n(z) be the third derivative of z**7/315 - z**6/45 + z**5/15 - z**4/9 + z**3/9 + 7*z**2. Factor n(x).
2*(x - 1)**4/3
Let n(r) = 2*r**3 - 13*r**2 - r - 2. Let p be 7/(-4)*(-4)/(-1). Let t(q) = -q**3 + 7*q**2 + q + 1. Let z(j) = p*t(j) - 4*n(j). Factor z(d).
-(d - 1)**3
Let z = 4 - 7. Let i(n) = n + 5. Let k be i(z). Determine u so that 8/7*u + 8/7 + 2/7*u**k = 0.
-2
Let d(v) be the first derivative of 3*v**5/7 + 33*v**4/28 + v**3 + 3*v**2/14 + 37. Solve d(i) = 0.
-1, -1/5, 0
Let x(y) be the first derivative of -y**3 + 6*y**2 - 12*y - 26. Factor x(o).
-3*(o - 2)**2
Let l be (-4)/(-8) + (-18)/(-4). Let c(t) be the third derivative of 0*t**3 + 0*t + 0 - 1/30*t**l - 1/120*t**6 + 2*t**2 - 1/24*t**4. Factor c(h).
-h*(h + 1)**2
Let g(h) be the first derivative of -h**4/16 + h**3/12 + h**2/2 - h - 51. Find d such that g(d) = 0.
-2, 1, 2
Let g(u) = u - 1. Let v be g(2). Let p(f) = -f**3 - f - 1. Let h(w) = 7*w**3 + 2*w**2 - 3*w - 3. Let o(s) = v*h(s) + 5*p(s). Factor o(a).
2*(a - 2)*(a + 1)*(a + 2)
Let v be 1 - (-4)/(-2 - 0). Let s = v + 5. Solve -t**3 - 25*t**5 - 7*t**3 - 40*t**s - 51*t**5 + 26*t**5 = 0.
-2/5, 0
Let u(q) be the third derivative of q**7/140 - q**6/4 + 63*q**5/20 - 49*q**4/4 - 343*q**3/4 - 15*q**2 + 3. Solve u(v) = 0.
-1, 7
Let z be 2*((-15)/2)/(-3). Let c = -1 + z. Factor -v**5 - 5*v**3 - 4*v**c - 2*v**5 + 4*v**3.
-v**3*(v + 1)*(3*v + 1)
Let v(y) = 28*y**3 - 40*y**2 + 28*y + 16. Let w(t) = -9*t**3 + 13*t**2 - 9*t - 5. Let d = -8 - -13. Let f(j) = d*v(j) + 16*w(j). Factor f(g).
-4*g*(g - 1)**2
Let v(r) be the second derivative of 0*r**3 - r - 1/90*r**6 + 0*r**2 + 0 - 1/30*r**5 + 0*r**4. Solve v(q) = 0.
-2, 0
Let k be ((-111)/(-2))/(45/380). Let l = 476 - k. Factor -8/3*d**4 - 6*d**2 + 2/3*d + 2/3 + l*d**3.
-2*(d - 1)**3*(4*d + 1)/3
Let z(m) be the third derivative of 0*m**5 - 1/3*m**3 + 1/6*m**4 + m**2 + 0 + 1/105*m**7 + 0*m - 1/30*m**6. What is u in z(u) = 0?
-1, 1
Let a(k) be the third derivative of k**8/1680 + 2*k**7/525 + k**6/100 + k**5/75 + k**4/120 + 5*k**2. Factor a(j).
j*(j + 1)**4/5
Determine k, given that 2/5*k - 2/5*k**3 + 1/5*k**2 + 0 - 1/5*k**4 = 0.
-2, -1, 0, 1
Factor -4/3*m**3 - 2*m**4 + 2/3*m**2 + 0 + 0*m.
-2*m**2*(m + 1)*(3*m - 1)/3
Let u be 18/(-96)*2/(-3). Let y(v) be the first derivative of -1/3*v**6 - u*v**4 + 1/2*v + 7/6*v**3 - 4/5*v**5 + 5/4*v**2 