1 + 7 = 3*s. Factor 4/3*l**4 + s*l**2 + 0 - 3*l**3 - 1/3*l.
l*(l - 1)**2*(4*l - 1)/3
What is o in 3*o**2 + 39 - 39 = 0?
0
Let c = -4 - -3. Let z be (0 + (c - -3))*1. Factor z - l**4 + 4*l**5 - 3*l**5 - 2.
l**4*(l - 1)
Let m be 8/20 - (-58)/5. Let t(s) = 2*s**4 + 2*s**3 + 10*s**2 + 10*s - 12. Let p(r) = -r**2 - r + 1. Let c(i) = m*p(i) + t(i). Factor c(u).
2*u*(u - 1)*(u + 1)**2
Let m(r) = -3*r**2 - r - 2. Let z(u) = -9*u**2 - 2*u - 7. Let l(y) = -7*m(y) + 2*z(y). Solve l(d) = 0.
-1, 0
Factor -8 + 304/13*k - 18/13*k**3 - 210/13*k**2.
-2*(k + 13)*(3*k - 2)**2/13
Suppose -2*u + 4*a = -6, 4*a = -4*u + a + 23. Let y(t) be the second derivative of 0*t**2 + 2/9*t**4 + 0 - 3*t + 1/10*t**u + 1/9*t**3. Factor y(p).
2*p*(p + 1)*(3*p + 1)/3
Let m(w) be the second derivative of -w**6/120 + 3*w**5/20 - 9*w**4/8 - 2*w**3/3 - 4*w. Let h(r) be the second derivative of m(r). Factor h(a).
-3*(a - 3)**2
Suppose 4*c + 12 = 2*z, 0*c + 9 = -3*z - 3*c. Let 0 - 2/3*p**3 + z*p + 2/3*p**4 + 0*p**2 = 0. Calculate p.
0, 1
Factor -4/3*d**3 + 10/3*d**2 + 4*d - 2/3*d**4 + 0.
-2*d*(d - 2)*(d + 1)*(d + 3)/3
Let u = 67 - 42. Suppose -2*x + u = 3*x. Factor -15*k**2 - 9 - 46*k + 10*k + 2 - x.
-3*(k + 2)*(5*k + 2)
Let g(h) be the third derivative of h**9/151200 - h**7/4200 - h**6/900 - h**5/60 - h**2. Let s(p) be the third derivative of g(p). Factor s(r).
2*(r - 2)*(r + 1)**2/5
Let g(l) be the first derivative of 13/6*l**4 + 4 - 4/3*l**2 + 28/9*l**3 + 2/5*l**5 - 16/3*l. Solve g(p) = 0.
-2, -1, 2/3
Let w(z) be the third derivative of -z**5/240 - 12*z**2. Factor w(x).
-x**2/4
Let v(w) be the third derivative of w**7/315 - w**6/90 + w**5/90 + 7*w**2. Factor v(f).
2*f**2*(f - 1)**2/3
Let w(y) be the second derivative of -2*y**7/105 + 2*y**6/75 + 3*y**5/25 - y**4/15 - 4*y**3/15 - 2*y. Suppose w(i) = 0. What is i?
-1, 0, 1, 2
Let y(r) = -3*r - 6. Let c(q) = -4*q - 6. Let z(g) = 2*c(g) - 3*y(g). Let b be z(-6). Determine w so that -1/6*w**4 + b*w + 0 - 1/6*w**3 + 0*w**2 = 0.
-1, 0
Let w be 18/(-15)*(-5)/2. Let i be (-1)/w - 25/(-30). Suppose -i*a**2 + 1 + 1/2*a = 0. What is a?
-1, 2
Let n be 88/16 + (-2)/4. Let t be (-26)/(-18) + n/(-15). Factor 0*q - 4/9*q**2 + t*q**3 + 0.
2*q**2*(5*q - 2)/9
Let g = 48725818/389115 + 3/43235. Let y = -125 + g. Solve y*p**2 - 2/9*p - 4/9 = 0.
-1, 2
Let h(o) be the third derivative of o**7/280 + o**6/192 - 7*o**5/480 - 5*o**4/192 + o**3/48 + 61*o**2. Factor h(u).
(u - 1)*(u + 1)**2*(6*u - 1)/8
Factor -3/7*w**4 + 15/7*w**3 + 24/7 - 18/7*w**2 - 12/7*w.
-3*(w - 2)**3*(w + 1)/7
Factor -2/3 - 4/3*v - 2/3*v**2.
-2*(v + 1)**2/3
Let r = -5/24 - -73/120. Let k be ((-2)/(-30))/((-9)/(-54))*2. Factor k - 2/5*q - r*q**2.
-2*(q - 1)*(q + 2)/5
Suppose -y = -3*y - 116. Let f be 2*y/(-36) - 3. Determine o, given that -2/3*o**2 - f + 2/9*o**3 + 2/3*o = 0.
1
Let g(i) be the second derivative of -i**4/114 + 7*i**3/57 - 6*i**2/19 + 9*i. Suppose g(f) = 0. Calculate f.
1, 6
Let g(l) be the first derivative of 12*l**3 - 12*l**2 - 2 - 9/2*l**4 + 0*l + 3/5*l**5. Factor g(m).
3*m*(m - 2)**3
Let m be 6/(-1 - -3) - -9. Factor f**2 + 3*f + m - 4 - 6.
(f + 1)*(f + 2)
Let i be 33/12*2 - (-4 - -9). Suppose 1/3 + i*t - 4/3*t**2 + 1/2*t**3 = 0. Calculate t.
-1/3, 1, 2
Let k(o) be the third derivative of o**8/1680 - o**7/210 + o**6/120 + o**5/30 - o**4/6 - o**3/2 + 2*o**2. Let f(m) be the first derivative of k(m). Factor f(r).
(r - 2)**2*(r - 1)*(r + 1)
Suppose -21 = -3*x - 0*x. Suppose -x*h = 3*l - 4*h - 6, 3*l - 6 = 5*h. Factor -4*v**2 - 7 + l*v**3 + 7 + 2*v.
2*v*(v - 1)**2
Suppose -4*j - 5 = -3*j. Let l = 9 + j. Factor z**5 - 3*z + l*z**2 - 3*z**2 - z**3 - z**4 + 3*z.
z**2*(z - 1)**2*(z + 1)
Let h(i) be the first derivative of i - 1/3*i**3 - 1/2*i**2 - 5 + 1/4*i**4. Factor h(r).
(r - 1)**2*(r + 1)
Let j = -7 - -8. Suppose -9 - 18 = -5*n + 3*s, -n - j = s. Determine t, given that 3/4*t**n - 3/4*t**2 + 0 + 1/4*t - 1/4*t**4 = 0.
0, 1
Let y(r) be the third derivative of r**6/240 + r**5/30 + r**4/12 + 4*r**2. Factor y(b).
b*(b + 2)**2/2
Let g(m) = 3 - 2 - 78*m**2 + 77*m**2 - m**3. Suppose -3 = 3*d - 45. Let p(y) = y**5 + 2*y**4 - 7*y**3 - 9*y**2 - y + 7. Let x(h) = d*g(h) - 2*p(h). Factor x(f).
-2*f*(f - 1)*(f + 1)**3
Find t such that -4*t - 6*t**2 + 4*t**4 + 18*t**2 + 1731*t**3 - 1743*t**3 = 0.
0, 1
Let g(y) be the first derivative of -2/3*y**3 + 1/2*y**4 + 2/5*y**5 + 4 - 1/3*y**6 + 0*y + 0*y**2. Suppose g(r) = 0. What is r?
-1, 0, 1
Let c(z) be the second derivative of z**7/189 - z**6/135 - z**5/30 + 5*z**4/54 - 2*z**3/27 - 17*z. Factor c(g).
2*g*(g - 1)**3*(g + 2)/9
Let h = -231 - -6469/28. Let c(m) be the third derivative of 1/420*m**6 - 3*m**2 + 3/7*m**3 + h*m**4 - 1/42*m**5 + 0 + 0*m. Factor c(w).
2*(w - 3)**2*(w + 1)/7
Let f(t) be the second derivative of -2*t**6/15 + 4*t**5/5 - 2*t**4/3 - 8*t**3/3 + 6*t**2 + 17*t. Factor f(c).
-4*(c - 3)*(c - 1)**2*(c + 1)
Suppose -5*w + 34 = 9. Suppose -w + 1 = -2*d. Factor -14*v**4 + 8*v**2 - 2*v**3 - 9*v**3 + 2*v - 3*v**d.
-v*(v + 1)*(2*v - 1)*(7*v + 2)
Let k = -22 - -21. Let l(f) = f**2 - 1. Let w(y) = 17*y**2 + 22*y + 5. Let b(t) = k*l(t) - w(t). Factor b(h).
-2*(h + 1)*(9*h + 2)
Let o be (30/(-12))/((15/4)/(-3)). Factor -o*w - 1/3*w**2 - 3.
-(w + 3)**2/3
Let v(i) be the third derivative of 1/840*i**7 + 0*i + 13/240*i**5 + 1/6*i**3 - 4*i**2 + 1/8*i**4 + 0 + 1/80*i**6. Find r, given that v(r) = 0.
-2, -1
Let u(g) be the first derivative of g**5/16 - 5*g**4/48 + 3*g**2/2 + 8. Let b(y) be the second derivative of u(y). Factor b(c).
5*c*(3*c - 2)/4
Let a(t) be the first derivative of t**3/21 - t**2/7 + t/7 - 21. Factor a(j).
(j - 1)**2/7
Factor -10/13*v + 4/13 + 8/13*v**2 - 2/13*v**3.
-2*(v - 2)*(v - 1)**2/13
Let w(o) be the second derivative of -o**5/130 - o**4/26 - o**3/13 - o**2/13 - 34*o. Suppose w(k) = 0. Calculate k.
-1
Let d(w) = w**3 - 10*w**2 - 11*w + 4. Let r be d(11). Let x be r - 4/((-16)/(-13)). Factor -1/4*c**2 + x*c - 1/2.
-(c - 2)*(c - 1)/4
Let q(z) be the third derivative of -z**6/80 + z**5/20 - z**4/16 + 11*z**2. Factor q(d).
-3*d*(d - 1)**2/2
Let 3/2*m**5 - 3/2*m**3 - 6 + 0*m + 21/2*m**2 - 9/2*m**4 = 0. What is m?
-1, 1, 2
Suppose 4*x - 4*n = -3*n + 23, -5*n = -25. Let g(j) be the third derivative of j**2 + 0*j**4 + 1/735*j**x + 0*j**3 + 0*j**5 + 1/420*j**6 + 0 + 0*j. Factor g(p).
2*p**3*(p + 1)/7
Let h(j) be the third derivative of j**5/240 + j**4/32 - 7*j**2. Determine x, given that h(x) = 0.
-3, 0
Let q be (6 + 3)*(-1)/(-3). Factor -1 - 9/2*n**q + n**2 + 9/2*n.
-(n - 1)*(n + 1)*(9*n - 2)/2
Let n(o) be the third derivative of o**8/224 + o**7/84 + o**6/120 + 43*o**2. What is w in n(w) = 0?
-1, -2/3, 0
Let h(v) be the second derivative of v**7/35 - v**6/180 - v**5/60 - 2*v**3/3 - v. Let b(j) be the second derivative of h(j). Factor b(u).
2*u*(3*u - 1)*(4*u + 1)
Let 2/7*x**4 + 0*x + 0*x**3 + 0 - 2/7*x**2 = 0. What is x?
-1, 0, 1
Factor 34*q**3 - 79*q**3 + 41*q**3 + 8*q**2.
-4*q**2*(q - 2)
Find a, given that 75/8*a**2 + 6 - 21*a - 9/8*a**3 = 0.
1/3, 4
Let i be 8 - (0 + 66/9). Factor 0*a**4 + 0*a**2 + 0 + 0*a + i*a**3 - 2/3*a**5.
-2*a**3*(a - 1)*(a + 1)/3
Suppose -j = 3*j + 28. Let a = j + 9. Factor 1/4*x**a + 0 - 1/4*x + 1/4*x**3 - 1/4*x**4.
-x*(x - 1)**2*(x + 1)/4
Let j(o) be the third derivative of -3*o**5/140 + o**4/14 - o**3/14 + 5*o**2. Determine u so that j(u) = 0.
1/3, 1
Let w(n) be the third derivative of -n**5/60 - n**4/4 + n**3/2 - 4*n**2. Let m be w(-6). Solve 2*h + 0*h**2 + 2 + 2*h**2 + 6*h**3 - 8*h**m - 4 = 0 for h.
-1, 1
Factor 1/9 - 1/9*k**3 - 1/9*k**2 + 1/9*k.
-(k - 1)*(k + 1)**2/9
Let b(l) be the first derivative of l**3/9 + l**2/6 - 2*l/3 - 7. Let b(o) = 0. Calculate o.
-2, 1
Let d = 28 + -21. Let j(u) be the second derivative of 1/70*u**5 + 0*u**3 + u + 1/147*u**d + 0*u**4 + 0*u**2 + 2/105*u**6 + 0. Factor j(l).
2*l**3*(l + 1)**2/7
Let z(x) = 3*x**3 - 39*x**2 - 21*x + 21. Let a(r) = r**3 - 11*r**2 - 6*r + 6. Let f be (-6)/12*30/(-3). Let b(j) = f*z(j) - 18*a(j). Factor b(v).
-3*(v - 1)**2*(v + 1)
Suppose -2*l - o = l - 7, 3*o = -3*l - 3. Factor -11*z**2 - 2*z**l + 5*z**2 - 6*z**3 + 2*z**2.
-2*z**2*(z + 1)*(z + 2)
Let v be (-1 - 5)/(-1 - 3). Determine p, given that -1/2*p**2 + v*p**3 + 1/2*p**5 + 0 + 0*p - 3/2*p**4 = 0.
0, 1
Let g(a) = -3*a**2 - 5*a - 13. Let r(w) = -5*w**2 - 8*w - 20. Let d(s) = 8*g(s) - 5*r(