3/3 - 2. Let u(j) be the third derivative of w(j). Factor u(g).
g*(g - 2)*(g + 1)
Let h(w) be the third derivative of w**6/600 + w**5/150 - w**4/30 - 4*w**3/15 - 8*w**2. Factor h(y).
(y - 2)*(y + 2)**2/5
Let h(q) be the first derivative of 6 - 6*q**2 - 189/5*q**5 - 70*q**3 + 24*q + 387/4*q**4. Let h(t) = 0. Calculate t.
-2/7, 2/3, 1
Let v(k) = -k**4 + k**3 + k**2 - k - 1. Let i(d) = 4*d**4 - 3*d**3 - 4*d**2 + 3*d + 5. Let c(s) = -i(s) - 5*v(s). Solve c(l) = 0.
-1, 0, 1, 2
Let m = 116 - 116. Let k(i) be the first derivative of 1/25*i**5 + 0*i**2 - 3 + m*i**3 + 0*i**4 + 0*i. Find h such that k(h) = 0.
0
Let h(i) be the second derivative of -i**6/90 + i**5/60 + i**4/36 - i**3/18 + 8*i. Let h(n) = 0. What is n?
-1, 0, 1
Factor 4/3 - 2*x + 1/6*x**5 + 11/6*x**3 - 1/3*x**2 - x**4.
(x - 2)**3*(x - 1)*(x + 1)/6
Let n(q) be the first derivative of q**3/24 + q**2/16 - 17. Factor n(f).
f*(f + 1)/8
Suppose -3*h + 15 = 2*h. Suppose 0 + 6 = h*k. Factor -51*u + 12 + 193*u**2 + 38*u**k - 45*u - 147*u**3.
-3*(u - 1)*(7*u - 2)**2
Let t(h) be the third derivative of 1/100*h**6 + 0*h + 2*h**2 + 1/1050*h**7 + 0 + 13/300*h**5 + 1/10*h**4 + 2/15*h**3. Factor t(g).
(g + 1)**2*(g + 2)**2/5
Let o = 529/5 - 105. Suppose -2/5*a**3 - 6/5*a**2 - o*a + 0 = 0. What is a?
-2, -1, 0
Let u(s) be the first derivative of -s**5/15 - 7*s**4/12 - 5*s**3/3 - 13*s**2/6 - 4*s/3 + 59. Let u(h) = 0. Calculate h.
-4, -1
Let z(j) be the third derivative of j**7/350 - j**6/100 - 3*j**5/100 - 18*j**2. Solve z(c) = 0 for c.
-1, 0, 3
Let j(h) = 3 - h**2 + 9*h + 0*h**2 - 7*h. Let o be j(3). Factor -2/5*s + o + 2/5*s**3 + 0*s**2.
2*s*(s - 1)*(s + 1)/5
Find p, given that 1/4*p**2 + 3/4*p**3 + 1/4 - 3/4*p - 1/2*p**4 = 0.
-1, 1/2, 1
Suppose 2*o + 3*o - 3*q = 6, 3*o + 2*q = 15. Determine w, given that 4*w**4 - 4*w**3 - 11*w**4 + w**3 + 5*w**o = 0.
0, 2/7
Let d(k) = -2*k**2 - 7. Let u(l) = 3*l**2 + l + 7. Let b(w) = 4*d(w) + 3*u(w). Let q be b(-5). What is a in 0*a**2 - 1/2*a**q + 1/2*a**5 + 0*a + 0*a**4 + 0 = 0?
-1, 0, 1
Let v(y) = y**3 - y - 1. Let c(o) = -5*o**4 + o**3 - 6*o - 6. Let j(g) = c(g) - 6*v(g). Let j(n) = 0. Calculate n.
-1, 0
Let l(m) be the first derivative of -m**6/6 + 2*m**5/5 - 2*m**3/3 + m**2/2 + 3. Solve l(n) = 0.
-1, 0, 1
Solve 2/15*a**5 + 2/15*a - 2/15 - 2/15*a**4 + 4/15*a**2 - 4/15*a**3 = 0 for a.
-1, 1
Let h be 3 + (-1 - 0)*1. Suppose h = 2*n - 4. Factor -n*w**2 - w**2 + w + 3*w**2.
-w*(w - 1)
Factor l**3 + 0*l + 51*l**2 + l - 53*l**2.
l*(l - 1)**2
Let i(n) = n**3 - n. Let x(r) = 2*r**5 + 2*r**4 + 6*r**3 - 6*r. Let w(s) = 6*i(s) - x(s). Factor w(d).
-2*d**4*(d + 1)
Let d(x) = -75*x**2 + 60*x - 10. Let q = -36 - -21. Let l(r) = 525*r**2 - 420*r + 69. Let v(m) = q*d(m) - 2*l(m). Factor v(k).
3*(5*k - 2)**2
Let l(w) be the first derivative of w**6/3 + w**5/5 - 3*w**4/4 - w**3/3 + w**2/2 - 9. Suppose l(s) = 0. What is s?
-1, 0, 1/2, 1
Let c be (-1)/(100/34 - 3). Let m = c + -17. Factor -1/3*i**3 + 0*i - 2/3*i**2 + m.
-i**2*(i + 2)/3
Let g(f) = -f**3 - f**2 + f. Let y(p) = -2*p**3 + 16*p**2 - 25*p + 12. Suppose -16*v = -15*v + 1. Let l(s) = v*y(s) - g(s). Factor l(k).
3*(k - 2)**2*(k - 1)
Let l(h) = h**2 - 7*h. Let k be l(7). Let m(o) = -o + 3. Let d be m(0). Factor 3/2*b**5 - d*b**2 - 6*b**4 + 15/2*b**3 + 0 + k*b.
3*b**2*(b - 2)*(b - 1)**2/2
Let j(p) = 20*p**2 - 41*p + 31. Let g(l) = 7*l**2 - 14*l + 10. Let a(s) = -17*g(s) + 6*j(s). Find v, given that a(v) = 0.
4
Let r(l) = -l - 1. Let o be r(-4). Suppose -3*h = 4*g - 9, 2*g + o*g + h - 14 = 0. Find f, given that -f**2 - f**g + f + 2*f**2 - 5 + 4 = 0.
-1, 1
Suppose 0*n = -n - 2*n. Let p(o) be the third derivative of n - 2*o**2 + 0*o - 1/300*o**5 + 1/120*o**4 + 0*o**3. Factor p(d).
-d*(d - 1)/5
Let k(b) be the second derivative of b**5/5 - b**4/3 - 10*b**3/3 - 6*b**2 - 2*b + 2. Factor k(z).
4*(z - 3)*(z + 1)**2
Let q(p) be the first derivative of -21*p**4/4 + 2*p**3 + 21*p**2/2 - 6*p + 12. Factor q(k).
-3*(k - 1)*(k + 1)*(7*k - 2)
Let l be (-16)/(-72) + (-43)/(-9). Suppose 7 + l = 4*t. What is u in -2/9*u**t - 2/9*u**2 + 0*u + 0 = 0?
-1, 0
Let y be (0/((-1 - 2) + 1))/2. Let n(w) be the first derivative of 3 + 1/10*w**4 + y*w**2 + 2/15*w**3 - 1/15*w**6 + 0*w - 2/25*w**5. Factor n(f).
-2*f**2*(f - 1)*(f + 1)**2/5
Suppose -5*g - 5*w = -30, -2*w + 23 = 4*g + w. Suppose 0 = 3*t - g*t. Find p such that t + 1/2*p**4 - 1/2*p**2 - 1/2*p**3 + 1/2*p = 0.
-1, 0, 1
Let q(u) = 8*u**3 + 2*u**2 + 12*u. Let c(k) = -7*k**3 - 3*k**2 - 11*k. Let w be ((-8)/(-6))/(10/(-45)). Let y(n) = w*c(n) - 5*q(n). Let y(v) = 0. Calculate v.
-3, -1, 0
Suppose -5*f - 13 = 2. Let a = f + 6. Factor -h**3 - 2*h**2 + 4*h**3 - 2*h + 2 - h**a.
2*(h - 1)**2*(h + 1)
Let u = 24 - 17. Let m be (-62)/(-18) - (u - 4). Factor 2/3*h**2 + m - 10/9*h.
2*(h - 1)*(3*h - 2)/9
Let s(a) = a**3 - 8*a**2 + 3*a + 8. Let i(d) = -d**2 + d + 1. Let m(t) = 4*i(t) - s(t). Factor m(q).
-(q - 4)*(q - 1)*(q + 1)
Determine m so that 4/3*m**4 + 0 + 0*m**2 + 1/2*m**5 + m**3 - 1/6*m = 0.
-1, 0, 1/3
Suppose 2*g - 10 - 34 = 0. Let l be g/4 + (-2)/4. Determine x, given that -2*x**l + x**3 + 4*x**4 - 2*x**3 - x**5 = 0.
0, 1/3, 1
Find p, given that -p**2 - 1/2*p**3 + 1 + 1/2*p = 0.
-2, -1, 1
Let c(b) be the second derivative of -b**5/60 + b**3/6 - b**2/3 - b. Find i such that c(i) = 0.
-2, 1
Let r(h) = h + 127. Let q be r(0). Let w = q + -377/3. Factor 2/9 + 2/9*f**4 - 8/9*f + w*f**2 - 8/9*f**3.
2*(f - 1)**4/9
Let r(w) = -w**3 + 3*w**2 - 3*w + 3. Let b(l) = -3*l**3 + 9*l**2 - 9*l + 10. Let s(y) = -4*b(y) + 14*r(y). Determine t, given that s(t) = 0.
1
Let k = -2221/5220 + 25/58. Let m(w) be the third derivative of 0 + 1/9*w**3 + 0*w - w**2 - k*w**5 - 1/72*w**4. Factor m(i).
-(i - 1)*(i + 2)/3
Let w(h) = h + 9. Let g be w(-4). Factor -15*o**2 - 4 + 2 - 15*o + 120*o**4 + 47*o**5 + g + o**5 + 75*o**3.
3*(o + 1)**3*(4*o - 1)**2
Suppose -5*h = 1 - 6. Let g = h - -1. Solve 1/2*r + 1/2*r**4 + 3/2*r**g + 3/2*r**3 + 0 = 0 for r.
-1, 0
Let t(b) be the second derivative of b**4/3 - 8*b**3/3 - 10*b**2 - 28*b. Let t(q) = 0. Calculate q.
-1, 5
Let v be -3*(63/35 + -3). Factor -264/5*q - 132/5*q**3 - 314/5*q**2 - v*q**4 - 72/5.
-2*(q + 3)**2*(3*q + 2)**2/5
Determine r, given that -6*r**3 - 6*r**3 - 4*r**2 - 2*r**4 + 4*r**3 - 2*r**4 = 0.
-1, 0
Let o(v) be the first derivative of -4*v**6/3 + 32*v**5/5 - 25*v**4/2 + 38*v**3/3 - 7*v**2 + 2*v + 10. Factor o(y).
-2*(y - 1)**3*(2*y - 1)**2
Factor -30*o**2 - 38*o - 22 - 7*o + 2 - 5*o**3.
-5*(o + 1)**2*(o + 4)
Let n(l) be the second derivative of 5*l - 2/3*l**3 - 3/10*l**5 + 1/21*l**7 + 5/6*l**4 - 1/15*l**6 + 0 + 0*l**2. Factor n(c).
2*c*(c - 1)**3*(c + 2)
Let s(u) = 17*u - 68. Let q be s(4). Factor 1/3*v**4 + q*v + 0 + v**3 + 2/3*v**2.
v**2*(v + 1)*(v + 2)/3
Let x(l) = l**3 - 2*l**2 - 4*l. Let t(v) = -v**3 + 3*v**2 + 5*v. Suppose -3*m + 6*m - 5 = -2*y, -m + 30 = -5*y. Let r(f) = m*x(f) + 4*t(f). Solve r(d) = 0.
-2, 0
Let o(l) = -l**2 + 4. Suppose 3*c = -10 + 55. Suppose 0 = 6*s - s - c. Let r(q) = q**2 - 5. Let f(k) = s*r(k) + 4*o(k). Factor f(a).
-(a - 1)*(a + 1)
Suppose 3*j = 6*j - 12. Factor -2*m**2 + 3*m**2 + 3*m**3 - m**j - 2*m**3 - m**5.
-m**2*(m - 1)*(m + 1)**2
Let a be (-34)/9 - (-4 + 0). Let y(r) be the first derivative of a*r**3 + 1 + 4/3*r + r**2. Suppose y(l) = 0. What is l?
-2, -1
Let l(y) be the first derivative of 0*y - 1/540*y**6 + 1/27*y**3 + y**2 + 1 - 1/36*y**4 + 1/90*y**5. Let x(g) be the second derivative of l(g). Factor x(u).
-2*(u - 1)**3/9
Let y(n) be the third derivative of 3*n**2 + 1/1155*n**7 + 1/132*n**4 - 1/330*n**5 + 0*n - 1/660*n**6 + 0 + 0*n**3. What is g in y(g) = 0?
-1, 0, 1
Factor 0 - 8/5*h**3 - 1/5*h**4 + 0*h + 9/5*h**2.
-h**2*(h - 1)*(h + 9)/5
Let y = -42 + 46. Suppose n = 3*g + 2 - 0, 4*g + 2*n = y. Solve 2/7*x**3 + 0*x + 2/7*x**4 + g - 4/7*x**2 = 0.
-2, 0, 1
Solve 0 - 14/9*r**4 + 56/9*r**2 + 16/9*r - 4/9*r**3 = 0.
-2, -2/7, 0, 2
Let p(n) be the third derivative of -n**5/270 + n**4/27 - 4*n**3/27 + 37*n**2. What is d in p(d) = 0?
2
Suppose -2*d + 3*x - 4 = 2*d, 0 = 2*d + 2*x - 12. Let z be (-26)/(-6) + d/(-6). Factor -v - z*v**4 + 2*v**5 + v + 2*v**3.
2*v**3*(v - 1)**2
Let j(b) = -b**2 + 9*b + 1. Let f(d) = d + 1. Let l(y) = 15*f(y) - 3*j(y). Suppose l(w) = 0. Calculate w.
2
Let m(n) = 4*n**5 - 2*n**3 - 2. Let j(h) = 21*h**5 - 9*h**3 - h