tive of -2*j + 0 - 1/48*j**4 + 0*j**2 + 1/24*j**3. Factor p(k).
-k*(k - 1)/4
Let z(f) = -4*f**4 - 2*f**2 - 6. Let p be (-66)/14 - 4/14. Let s(k) = -5 - 3*k**4 - 1 + 0 + 1 - 2*k**2. Let a(q) = p*z(q) + 6*s(q). Factor a(t).
2*t**2*(t - 1)*(t + 1)
Let b(c) be the third derivative of -c**5/90 + c**4/36 + 2*c**3/9 - c**2 - 8. Factor b(k).
-2*(k - 2)*(k + 1)/3
Let j = -1 - -3. Suppose l = -0*l + 3*w - 2, -w = -l + j. Solve -d**3 + 0*d**5 + d**2 - 11*d**4 + 10*d**l + d**5 = 0 for d.
-1, 0, 1
Let j be 8/(-3) - (-4)/6. Let r = j - -6. Factor -8 - r*s + 6*s - 6*s - 2*s**2 - 4*s.
-2*(s + 2)**2
Let l be 4 - (0 - -1) - 1. Suppose -5*t - f + 4 = -12, -l*t = 5*f - 11. Factor -8/7*u**4 + 0*u - 6/7*u**5 + 0 + 0*u**2 - 2/7*u**t.
-2*u**3*(u + 1)*(3*u + 1)/7
Let r = 454 + -2266/5. What is y in 2*y + 2/5*y**3 + r + 8/5*y**2 = 0?
-2, -1
Let m(n) = n**3 + n**2 + n + 4. Let j be m(0). Suppose t + t = j. What is y in 0 + 6*y - 3*y**3 + 0 - y**2 + 4*y**t = 0?
-1, 0, 2
Let c(i) be the second derivative of i**6/270 + i**5/180 - i**4/36 + 2*i**3/3 - 8*i. Let d(u) be the second derivative of c(u). Factor d(n).
2*(n + 1)*(2*n - 1)/3
Let v be (-3 + 6)/(9/12). Factor -3*a**v + a**2 + 6*a**4 - 4*a**2.
3*a**2*(a - 1)*(a + 1)
Let z(r) be the second derivative of -r**4/3 - 2*r**3/3 + r. Factor z(v).
-4*v*(v + 1)
Let w(s) = 20*s**4 - 32*s**3 - 8*s**2 + 8*s. Let n(l) = 7*l**4 - 11*l**3 - 3*l**2 + 3*l. Let p(a) = 8*n(a) - 3*w(a). Solve p(o) = 0 for o.
0, 2
Let u(r) = -r**2 - r + 4. Let p(k) = -5*k**2 - 5*k + 15. Let f(y) = 4*p(y) - 15*u(y). Let g(x) = -3*x**2 - 3*x. Let l(h) = 5*f(h) - 8*g(h). Solve l(t) = 0.
-1, 0
Let a(x) = -x**3 - x**2 - x. Let o(n) = 4*n**3 + 2*n**2 + 2*n + 1. Let r(d) = -3*a(d) - o(d). Factor r(v).
-(v - 1)**2*(v + 1)
Let f = 7 + -3. Suppose 4*n**2 + 6*n + 6*n**4 - n**5 - 2*n - 10*n**f - 3*n**3 = 0. Calculate n.
-2, -1, 0, 1
Let h = 4/1847 + 1811887/9235. Let j = 197 - h. Factor 4/5 + j*k + 1/5*k**2.
(k + 2)**2/5
Let 6/5*q**2 + 3/5*q - 12/5*q**3 + 9/5*q**5 + 0 - 6/5*q**4 = 0. What is q?
-1, -1/3, 0, 1
Let c be -1 + 12/9*-3. Let k be 3/5 - (-2)/c. Let -k*w**2 - 1/5*w + 2/5 = 0. Calculate w.
-2, 1
Let 0*s - 1/5*s**3 - s**2 + 0 = 0. Calculate s.
-5, 0
Let k = -38/5 - -81/10. Let z**3 - 1/2*z**4 + 0*z**2 - z + k = 0. What is z?
-1, 1
Find d, given that 4*d**2 + 8*d**3 - 31*d - 3 - 7*d**5 + 25*d + 5*d**5 - 1 = 0.
-1, 1, 2
Factor 0*w**2 + 0*w + 0 - 3*w**4 + 2/3*w**3.
-w**3*(9*w - 2)/3
Let y(q) be the second derivative of q + 0 - 1/12*q**4 + 1/40*q**5 + 1/12*q**3 + 0*q**2. Factor y(g).
g*(g - 1)**2/2
Let v(c) be the third derivative of -c**8/70560 + c**7/4410 - c**6/630 - c**5/60 + 2*c**2. Let a(x) be the third derivative of v(x). Factor a(j).
-2*(j - 2)**2/7
Let h(p) be the third derivative of p**7/945 + p**6/270 - p**5/90 - p**4/27 + 4*p**3/27 - 5*p**2. Factor h(w).
2*(w - 1)**2*(w + 2)**2/9
Let c(f) be the first derivative of 2*f + 1/2*f**4 - 2/3*f**3 - f**2 + 2. Find x, given that c(x) = 0.
-1, 1
Let b = 153/484 + -8/121. Factor -1/2*x + b*x**2 + 0.
x*(x - 2)/4
Suppose 89 = 4*s + 21. Suppose k - 3*w = -k - 3, -w + 12 = 3*k. Factor -s*y**4 + 3*y**k + 3*y**3 + 2*y**4.
-3*y**3*(5*y - 2)
Suppose -25 = -14*a + 9*a. Suppose m = a*m. Find v such that -3/4*v**2 + 1 + m*v + 1/4*v**3 = 0.
-1, 2
Let 1 - 3*w**2 + 3*w**3 - w**5 - w**2 - 3*w**4 + 6*w**2 + 3*w - 5*w**3 = 0. What is w?
-1, 1
Let r(x) be the third derivative of -1/150*x**5 + 1/30*x**4 - 5*x**2 + 0*x + 0*x**3 + 0. Find q, given that r(q) = 0.
0, 2
Let k(x) = -2*x**2 + 5*x - 7. Let d(u) = 2*u**2 - 4*u + 6. Let z(j) = -7*d(j) - 6*k(j). Let z(q) = 0. Calculate q.
-1, 0
Factor -8*g**4 - 16/3*g + 0 - 4/3*g**5 - 16*g**2 - 52/3*g**3.
-4*g*(g + 1)**2*(g + 2)**2/3
Let d be (-1)/(-3) - (-175)/15. Let k be -2 - ((-44)/d + 1). Let k*b**4 + 4/3*b**3 + 2/3 - 2/3*b - 2/3*b**5 - 4/3*b**2 = 0. What is b?
-1, 1
Suppose -4*s + 11 = -13. Let q be 9/s*(4 + -2). Factor -1/3*i**4 + 1/3*i**q - 2/3 - 1/3*i + i**2.
-(i - 2)*(i - 1)*(i + 1)**2/3
Let l(s) = -2*s**3 - 3*s**2 - 7*s + 3. Let q(r) = -4*r**3 - 7*r**2 - 13*r + 5. Let k(y) = -5*l(y) + 3*q(y). Suppose k(g) = 0. Calculate g.
-2, -1, 0
Let p(n) = n**3 + n**2 - 2. Let m(g) = 7*g**3 + 9 + 0*g**2 - 12*g**3 - 2*g**2 - 3*g**2. Let b(z) = 4*m(z) + 18*p(z). Let b(l) = 0. What is l?
-1, 0
Let r(f) = -f**3 - 12*f**2 + f + 14. Let o be r(-12). Factor -3*x - 3*x + x**3 - 3*x**o + 8*x.
x*(x - 2)*(x - 1)
Suppose x = h - 3, 4*x = -1 - 7. Let g = 7 + h. What is o in 8*o**2 + 4 + 4*o**2 + 2*o**4 - 2 - g*o**3 - 8*o = 0?
1
Suppose 4 - 1 = 3*w. Let b = 5 - w. What is y in 4/3*y**3 + 4/3*y - 1/3 - 1/3*y**b - 2*y**2 = 0?
1
Suppose -x = 4*x - 70. Suppose 5*i - 6 = x. Determine g, given that g**2 - g**i + 0*g**3 + 1/2*g + 0 - 1/2*g**5 = 0.
-1, 0, 1
Let n(o) be the first derivative of -1/10*o**5 + 2*o**2 - 1/40*o**6 + 1/8*o**4 + o**3 + 3 + 0*o. Let q(w) be the second derivative of n(w). Factor q(g).
-3*(g - 1)*(g + 1)*(g + 2)
Let f be (18/10)/((-141)/(-235)). Factor 0 - 2/3*s**2 - 1/3*s**f - 1/3*s.
-s*(s + 1)**2/3
Suppose w = 4*w - 24. Let r(d) be the first derivative of 0*d**2 - w*d + 1/2*d**4 + 3 + 2*d**3. Factor r(b).
2*(b - 1)*(b + 2)**2
Factor 10/7*i**2 + 8/7 + 2/7*i**3 + 16/7*i.
2*(i + 1)*(i + 2)**2/7
Let w(f) = -f**3 - f**2 - 2*f + 2. Let n be w(-3). Let o = n - 26. Factor 2/5*b**3 + 0 + o*b**2 - 2/5*b.
2*b*(b - 1)*(b + 1)/5
Let x be (-3)/(-4) + (-9)/36. Factor 1/2*s**3 + 0 - s**4 + 0*s**2 + 0*s + x*s**5.
s**3*(s - 1)**2/2
Let o(h) be the second derivative of -h**4/30 - h**3/15 + 8*h. Factor o(z).
-2*z*(z + 1)/5
Let f(p) be the third derivative of p**8/672 - p**6/120 + p**4/48 - 8*p**2. Factor f(r).
r*(r - 1)**2*(r + 1)**2/2
Let -14/11*a**5 + 0*a**2 + 0*a - 18/11*a**4 + 0 - 4/11*a**3 = 0. Calculate a.
-1, -2/7, 0
Let d(r) = -5*r**2 - 40*r - 35. Let t(g) = 10*g**2 + 80*g + 70. Let i(v) = -5*d(v) - 3*t(v). What is l in i(l) = 0?
-7, -1
Factor 2/7*p**2 + 10/7 + 12/7*p.
2*(p + 1)*(p + 5)/7
Let r = -13 - -19. Let m(f) be the first derivative of -3 - 5/33*f**r - 4/55*f**5 + 0*f**4 + 0*f**2 + 0*f + 0*f**3. Suppose m(v) = 0. Calculate v.
-2/5, 0
Let w(i) = -3*i**2 - 7*i + 32. Let a(c) = -c**2 + c - 1. Let z(t) = 2*a(t) + w(t). Factor z(v).
-5*(v - 2)*(v + 3)
Let u(b) be the third derivative of -5*b**2 + 0 + 1/20*b**5 - 1/6*b**4 + 0*b - 1/210*b**7 - 2/3*b**3 + 1/60*b**6. Factor u(g).
-(g - 2)**2*(g + 1)**2
Let t(h) = -h + 5. Let z(b) = b + 0 - 3 - 2*b**2 + 2 + 3*b**2. Let u(f) = t(f) + 6*z(f). Factor u(o).
(o + 1)*(6*o - 1)
Let g(p) be the third derivative of -p**7/5880 + p**6/1260 - p**5/840 - 3*p**4/8 - 10*p**2. Let n(i) be the second derivative of g(i). Let n(s) = 0. What is s?
1/3, 1
Let k(a) be the first derivative of -1/36*a**4 - 1/90*a**5 + 2 + 0*a - a**2 + 0*a**3. Let h(m) be the second derivative of k(m). Factor h(u).
-2*u*(u + 1)/3
Let i(d) = d**2 + 7*d + 2. Let b(k) = -k**2 - 6*k - 2. Suppose -5*h = -4*g + g - 11, 2*g - 26 = -5*h. Let y(n) = h*b(n) + 3*i(n). Determine j so that y(j) = 0.
-2, -1
Suppose 3*a - 4*p - 19 = 0, -4*a + 5*p - 2*p = -16. Suppose -2*i + a = -3. Suppose b**i - 2*b + 2*b**2 - 5*b**2 = 0. Calculate b.
-1, 0
Suppose 0*o + 4*o = g + 3, -o = -3*g + 13. Let u(l) be the second derivative of 1/36*l**4 - 5*l + 0 - 1/18*l**3 + 0*l**o. Factor u(y).
y*(y - 1)/3
Let v(q) be the second derivative of q**6/360 - q**5/60 + 2*q**3/9 - q**2/2 - 2*q. Let d(z) be the first derivative of v(z). Factor d(f).
(f - 2)**2*(f + 1)/3
Let b(d) be the first derivative of 3*d**5/80 - 3*d**4/16 + 3*d**3/8 - 3*d**2/8 - 3*d + 4. Let y(j) be the first derivative of b(j). Solve y(s) = 0.
1
Let k(r) be the first derivative of -r**3/2 + 15*r**2/4 - 9*r + 5. Determine w, given that k(w) = 0.
2, 3
Suppose -j + 3 = 6*a - 7*a, 0 = 4*j + a - 17. Solve v + 3*v**3 - v**j - 3*v**2 + 2 + 1 - 3 = 0.
0, 1
Suppose 85 = 4*t + 65. Let k be 3*(-1 - (-14)/6). Factor 80*y**2 + 4 - 6*y**t - 30*y - 100*y**3 + 0 + 60*y**k - 8*y**5.
-2*(y - 1)**4*(7*y - 2)
Let v(z) be the first derivative of 0*z**3 + z**2 + 0*z + 2 - 1/120*z**5 - 1/24*z**4. Let a(r) be the second derivative of v(r). Determine o so that a(o) = 0.
-2, 0
Determine v, given that -8 + 5*v**2 - 5*v + 2*v - 2*v - 2 = 0.
-1, 2
Let o(t) = -t**3 - 3*t**2 + 5*t + 4. Let z be o(-4). Let 1/2*r**3 + 0*r + 1/2*r**2 + z = 0. What is r?
-1, 0
Let s(x) be the second derivative of x*