12*b(y) + 3*f(y). Let q be o(-2). Factor n**4 + n**q + 4*n**2 - 2 - 6*n**4 + 2*n**3 + 3*n**2 - 3*n.
-(n - 1)**2*(n + 1)*(5*n + 2)
Let u be (0/2)/(-2 - 0). Solve u - 1/2*w**3 + 0*w + 1/2*w**5 + 0*w**4 + 0*w**2 = 0 for w.
-1, 0, 1
Let j be -2*7/(42/(-9)). Suppose 0*n = -n + 4*i - 4, -i + 1 = 3*n. Factor n + 0*l - 1/4*l**j - 1/4*l**2.
-l**2*(l + 1)/4
Let n(i) = -3*i**3 + 4*i**2 - 3*i + 2. Let s(h) = h**3 - h**2. Let c(g) = -n(g) - 4*s(g). Solve c(o) = 0.
-2, 1
Suppose -24 = -5*i - 9. Factor i*g**2 - g**3 + 6*g**5 + 8*g**4 - 7*g**2 - g**3.
2*g**2*(g + 1)**2*(3*g - 2)
Suppose 2*r + 2*z = 8 + 6, 5*r + 2*z = 29. Let v(a) be the third derivative of -1/15*a**6 + 2/15*a**r + 0*a**3 - a**2 + 0*a + 0 - 1/12*a**4. Factor v(m).
-2*m*(2*m - 1)**2
Let v(y) = -6*y**3 - 10*y**2 - 2*y + 6. Let q(m) = 13*m**3 + 21*m**2 + 5*m - 12. Let w(f) = 4*q(f) + 9*v(f). Factor w(g).
-2*(g - 1)*(g + 1)*(g + 3)
Factor -1 + 7/2*l - 7/2*l**3 - 3/2*l**2 + 5/2*l**4.
(l - 1)**2*(l + 1)*(5*l - 2)/2
Let a be ((-8)/28)/((-22)/(-14) + -2). Solve -a*z**4 + 0*z + 0 - 2/3*z**2 + 4/3*z**3 = 0.
0, 1
Let k(o) be the first derivative of -o**6/6 - 2*o**5/5 + 2*o**3/3 + o**2/2 - 10. Factor k(p).
-p*(p - 1)*(p + 1)**3
Let g = -1242 + 4935/4. Let l = g + 115/12. Find i such that 2/3*i**2 + 4/3*i**3 - i**4 - l*i + 1/3 = 0.
-1, 1/3, 1
Suppose 0 = -4*b - 5*y + 74, 4*y + 30 = -2*b + 70. Let -b*q**3 + 4 + 4*q**4 - 7*q + 17*q**2 - 2*q**2 + 9*q**2 - 9*q = 0. What is q?
1
Let n(c) be the second derivative of 0*c**2 + 2/189*c**7 - 1/27*c**6 + 0 - 1/54*c**4 + 2/45*c**5 + c + 0*c**3. What is g in n(g) = 0?
0, 1/2, 1
Let b(z) be the second derivative of -5*z**7/252 + 7*z**6/180 + z**5/40 - 7*z**4/72 + z**3/18 + 5*z. Let b(l) = 0. Calculate l.
-1, 0, 2/5, 1
Let t(v) be the third derivative of v**8/16800 + v**7/3150 + 5*v**4/24 + 5*v**2. Let o(b) be the second derivative of t(b). Solve o(q) = 0.
-2, 0
Let j be (-36)/16*28/(-21). Find n such that 3*n**2 - 7/4*n**j - 3/4*n - 1/2 = 0.
-2/7, 1
Let o be (-6)/(((-6)/(-3))/(-2)). Suppose f = 4*f - o. Factor 1/2*b**f - b + 1/2.
(b - 1)**2/2
Factor 36 + 18*b + 1/6*b**3 + 3*b**2.
(b + 6)**3/6
Suppose 0 = 3*p - 2*k - 9, 5*p + 5*k = -4 - 6. Suppose p = -q - 4, 3*q = 4*u - 31. Determine z, given that -2*z - 2*z**4 - 4*z**2 - u*z**3 - 2/5*z**5 - 2/5 = 0.
-1
Suppose 2*y - 4*y + 6 = 0. Factor 0 + y + 12*p**2 - 1 - 9*p - 5*p**2.
(p - 1)*(7*p - 2)
Let x = -194 - -972/5. Factor -4/5*k + x*k**2 + 2/5.
2*(k - 1)**2/5
Suppose 0 = -2*s + 3 + 1. Let d = 21 + -15. Suppose i - 2 + 14*i**s + d*i + 8*i**3 - 3*i = 0. Calculate i.
-1, 1/4
Suppose 0 = -4*c + 24. Let n(b) be the third derivative of -2*b**2 + 0*b**5 + 1/630*b**7 + 1/36*b**4 + 0*b + 0 - 1/18*b**3 - 1/180*b**c. Factor n(g).
(g - 1)**3*(g + 1)/3
Let s(z) = z**2 + 6*z - 3. Let o be s(2). Let m = o + -9. Factor 2/3*k**m - 2/3*k - 2*k**2 + 4/3 + 2/3*k**3.
2*(k - 1)**2*(k + 1)*(k + 2)/3
What is f in 132/5*f**2 - 8*f**3 + 64/5 - 32*f + 4/5*f**4 = 0?
1, 4
Let r(j) be the second derivative of j**6/12 + j**5/8 - 5*j**4/12 - 9*j. Find q such that r(q) = 0.
-2, 0, 1
Let a(k) = 2*k**2 + 3. Let z(j) be the third derivative of 0 + j**2 + 7/3*j**3 + 0*j + 0*j**4 + 1/6*j**5. Let d(q) = 14*a(q) - 3*z(q). Factor d(y).
-2*y**2
Let o(y) be the third derivative of -y**8/112 - 2*y**2. Let o(i) = 0. Calculate i.
0
Let v(s) = 11*s**4 - 21*s**3 - s**2 + 15*s - 10. Let z(k) = 32*k**4 - 62*k**3 - 2*k**2 + 45*k - 30. Let p(l) = 17*v(l) - 6*z(l). Factor p(x).
-5*(x - 2)*(x - 1)**2*(x + 1)
Let r(v) = -18*v**2 - 152*v + 26. Let u(q) = -2*q**2 - 17*q + 3. Let n(w) = 6*r(w) - 52*u(w). Solve n(i) = 0.
-7, 0
Let l(o) = 9*o**2 - 6*o - 3. Let p(c) = 3*c + c**2 + 0*c**2 - 6*c**2 + 2. Suppose 2*g - 4*g = -8. Let f(m) = g*l(m) + 7*p(m). Factor f(h).
(h - 2)*(h - 1)
Factor 0 + 0*y + 2/17*y**2.
2*y**2/17
Let j(y) be the first derivative of y**6/6 - 2*y**5/5 + y**4/4 + 18. Suppose j(g) = 0. Calculate g.
0, 1
Let v be (-1 + 1)/(6 + -5). Factor v*c**2 + 3*c + 0*c**2 - 5*c + 2*c**3.
2*c*(c - 1)*(c + 1)
Let h(y) = -21*y - 17. Let x be h(-1). Let p(j) be the third derivative of 0*j**3 - 1/24*j**x - 1/60*j**5 + 0*j + 2*j**2 + 0. Factor p(k).
-k*(k + 1)
Let k = -40 - -44. Let f(t) be the second derivative of -1/8*t**2 + 0 + 1/48*t**k + 0*t**3 + t. Factor f(m).
(m - 1)*(m + 1)/4
Let x(m) be the third derivative of -m**5/75 - 4*m**4/15 + 2*m**2 - 24*m. Let x(s) = 0. What is s?
-8, 0
Let s(d) be the second derivative of 1/24*d**3 + 0 + 10*d + 0*d**2 - 1/24*d**4. Factor s(l).
-l*(2*l - 1)/4
Let f(b) = -b**2 - 3*b - 6. Let q(i) = 1. Let l(v) = v - 4. Let a be l(8). Let h = a - 8. Let s(u) = h*q(u) - f(u). Factor s(o).
(o + 1)*(o + 2)
Let h be 1969/12 + (-1)/(-4). Let w = h + -163. Find p such that 0*p - 8*p**4 + 0 - 2*p**3 - 14/3*p**5 + w*p**2 = 0.
-1, 0, 2/7
Let f(p) be the third derivative of 0*p**3 - 1/300*p**5 + 0*p + 0 + 0*p**4 + 1/300*p**6 - 2*p**2 - 1/1050*p**7. Factor f(d).
-d**2*(d - 1)**2/5
Suppose 0 = 18*z - 16*z - 4. Let m(p) be the first derivative of 1/6*p**z - 1/9*p**3 + 1/3*p - 2 - 1/12*p**4. Factor m(v).
-(v - 1)*(v + 1)**2/3
Let y(q) = q + 1. Let k(a) = 2*a**2 - 7*a - 1. Let f(x) = -k(x) - 3*y(x). Factor f(r).
-2*(r - 1)**2
Let k(n) = -7*n**4 + 9*n**3 - 9*n**2 + n. Let u(o) = -36*o**4 + 44*o**3 - 44*o**2 + 4*o. Let r(d) = 16*k(d) - 3*u(d). Factor r(s).
-4*s*(s - 1)**3
Let a be 175/28 - 2/8. Let z(p) be the third derivative of p**2 - 1/72*p**4 + 7/360*p**a + 2/315*p**7 + 0*p**3 + 0*p + 1/90*p**5 + 0. Factor z(f).
f*(f + 1)**2*(4*f - 1)/3
Find u such that -258*u**5 + 93*u**3 + 259*u**5 + 73*u**2 + 98*u + 102*u**2 + 17*u**4 = 0.
-7, -2, -1, 0
Let j = 24 - 10. Let r = -10 + j. Factor -2/3*y**r - 2/3*y**3 + 4/3 + 2*y**2 + 10/3*y.
-2*(y - 2)*(y + 1)**3/3
Find q such that 0 + 0*q**2 + 3*q**3 + 0*q - 3/2*q**4 = 0.
0, 2
Let i(d) = 3*d**4 - 3*d**2 + 3. Let o(m) = 6*m**4 - 5*m**2 + 5. Let j(z) = -5*i(z) + 3*o(z). Factor j(t).
3*t**4
Let o(h) be the second derivative of 3*h**5/20 + 9*h**4/4 + 4*h**3 - 13*h. Find v, given that o(v) = 0.
-8, -1, 0
Let x be (7/(-9) - -1)/((-14)/(-21)). Suppose -a**2 - a - x - 1/3*a**3 = 0. Calculate a.
-1
Suppose -r = 2*r - 6. Factor 3*d**3 - 5*d**3 - d**r + d**3.
-d**2*(d + 1)
Let s(b) be the first derivative of 2*b**3/21 - 2*b**2/7 - 11. Find l such that s(l) = 0.
0, 2
Suppose 2/13*p**2 + 18/13 + 12/13*p = 0. What is p?
-3
Factor 12/5*m + 2/5*m**4 + 16/5*m**2 - 18/5 - 12/5*m**3.
2*(m - 3)**2*(m - 1)*(m + 1)/5
Let w(t) = t**3 - 3*t**2 - 3*t + 2. Let v be w(3). Let u = v + 10. Factor -11*x**u - 9*x**4 - 4*x**2 + 1 - 5/2*x**5 + 3/2*x.
-(x + 1)**4*(5*x - 2)/2
Suppose 0 = 2*u - 4*u + 44. Let l = -22 + u. Factor 0 + 0*s - 12/5*s**4 + 3/5*s**3 + l*s**2.
-3*s**3*(4*s - 1)/5
Factor 0 + 0*q**3 + 1/8*q + 1/4*q**2 - 1/4*q**4 - 1/8*q**5.
-q*(q - 1)*(q + 1)**3/8
Factor -c**2 - 8*c - 2*c**2 + 2*c + 5*c**2.
2*c*(c - 3)
Let v be 62/(-22) - 14/77. Let d(t) = -4*t + 3. Let y be d(v). What is g in y*g**3 - 11*g**5 - 5 - 9*g**2 + 9*g**4 - 3*g + 5 - g**5 = 0?
-1, -1/4, 0, 1
Let z be (-9)/5 + 2 - -1. Let z*t**5 + 22/5*t**4 + 0 + 6*t**3 + 4/5*t + 18/5*t**2 = 0. Calculate t.
-1, -2/3, 0
Suppose -4*o + 22 + 2 = 0. Let b(s) be the third derivative of 0 + s**2 + 1/150*s**o + 0*s**3 + 1/50*s**5 + 1/60*s**4 + 0*s. Factor b(q).
2*q*(q + 1)*(2*q + 1)/5
Let j be (-4)/(-6)*3/32. Let b(q) be the second derivative of -3/80*q**5 + 0*q**2 + j*q**4 + 0 - 1/24*q**3 - 2*q + 1/120*q**6. Factor b(r).
r*(r - 1)**3/4
Let u(c) be the first derivative of -c**2 - 1 + 1/3*c**3 + 0*c. Find a such that u(a) = 0.
0, 2
Let o = -1 - -5/4. Let j(k) be the third derivative of 1/60*k**6 + o*k**4 + 1/10*k**5 + 0*k + 1/3*k**3 + k**2 + 0. Find s such that j(s) = 0.
-1
Find r, given that -2/9*r**2 + 0 + 2/9*r**4 + 0*r + 0*r**3 = 0.
-1, 0, 1
Solve 14*c**2 - 502*c - 3*c**3 + 22*c**2 + 192 + 358*c = 0 for c.
4
Factor -4/5 - 2/5*w**3 + 4/5*w**2 + 2/5*w.
-2*(w - 2)*(w - 1)*(w + 1)/5
Let h(q) be the third derivative of -q**7/525 - q**6/50 - 2*q**5/25 - q**4/6 - q**3/5 + 15*q**2. Factor h(z).
-2*(z + 1)**3*(z + 3)/5
Factor 0 + 3/4*s**3 - 3/4*s**4 - 3/4*s + 3/4*s**2.
-3*s*(s - 1)**2*(s + 1)/4
Factor 0 + 0*z - 2/5*z**2.
-2*z**2/5
Let k(b) be the second derivative of 9*b**5/70 + b**4/14 - 8*b**3/21 - 4*b**2/7 - 7*b. Suppose k(a) = 0. Calculate a.
-2/3, 1
Let c(g) be the first derivative of -4*g**3/15 - g**2 