y**4 + 2*y**3 - 5*y**2 + 5. Let g(l) = -3*a(l) + 5*x(l). Factor g(q).
q**3*(q - 1)*(q + 1)
Let x(s) be the second derivative of -7*s**6/30 + 4*s**5/5 - 11*s**4/12 + s**3/3 - 6*s. Factor x(d).
-d*(d - 1)**2*(7*d - 2)
Let t(l) be the third derivative of 0*l - 1/20*l**5 + 1/2*l**3 + 0 + 3*l**2 - 1/40*l**6 + 1/8*l**4. Factor t(j).
-3*(j - 1)*(j + 1)**2
Let c(i) be the second derivative of -5*i**4/3 - 5*i**3/2 + 5*i**2/2 - 27*i. Factor c(z).
-5*(z + 1)*(4*z - 1)
Let s(r) be the first derivative of 2/3*r**4 - 4/3*r**3 - 2/3*r - 2/15*r**5 + 4/3*r**2 - 3. Determine y, given that s(y) = 0.
1
Let h(d) = d**5 - 6*d**4 + 9*d**3 + 4*d**2 - 3*d. Let w(p) = -p**5 + p**4 + p**3 + p**2 - p. Let s(y) = -4*h(y) - 12*w(y). Suppose s(l) = 0. What is l?
-3, -1, 0, 1/2, 2
Let k(f) be the second derivative of f**8/33600 + f**7/12600 - f**4/4 - 6*f. Let u(d) be the third derivative of k(d). Factor u(q).
q**2*(q + 1)/5
Let v(c) be the second derivative of -c**4/16 + c**3/2 - 6*c + 2. Determine p so that v(p) = 0.
0, 4
Let q(s) be the first derivative of 0*s**2 - 1/40*s**5 - 1 + 0*s**4 + 3*s + 1/12*s**3. Let z(r) be the first derivative of q(r). Factor z(u).
-u*(u - 1)*(u + 1)/2
Let g(p) be the third derivative of p**7/840 + p**6/360 - p**3/3 + 2*p**2. Let m(b) be the first derivative of g(b). Factor m(i).
i**2*(i + 1)
Let a be (52/455)/(1/5). Factor -a*v - 2/7 - 2/7*v**2.
-2*(v + 1)**2/7
Let i(h) be the first derivative of 2*h**5 + 13*h**4/2 + 6*h**3 - h**2 - 4*h - 9. Factor i(t).
2*(t + 1)**3*(5*t - 2)
Let a be 3 + (49/3)/(-7). Factor 0 - 2/3*j - a*j**2.
-2*j*(j + 1)/3
Suppose 15 = 6*b - 3*b. Suppose 4*f - 14 = -3*p + b*p, 0 = -3*f + 15. Solve 5*m**p + 2*m**2 - m**2 - 4*m**3 = 0 for m.
-1, 0
Let z(g) be the second derivative of 1/4*g**4 + 0*g**2 - 4*g - 1/2*g**3 + 0. Factor z(c).
3*c*(c - 1)
Let i(l) be the third derivative of l**5/240 - l**4/48 + 3*l**2. Factor i(f).
f*(f - 2)/4
Suppose -12 = -m - 3*m. Suppose -6*l - m*l**4 - 2*l**3 + 9*l**2 + 6*l**4 + 3*l**5 + 5*l**3 - 12*l**4 = 0. Calculate l.
-1, 0, 1, 2
Let v be 8/12 + (-26)/(-6). Suppose -4*u - 12 = -4*x, 2*x - u = -v*u. Suppose 6*n - 6*n**3 - 13 - 2*n**2 + 0*n**x + 10 + 5*n**2 = 0. Calculate n.
-1, 1/2, 1
Suppose 1/3*j**3 + 0*j**2 + 0 + 0*j - 1/3*j**4 - 2/3*j**5 = 0. What is j?
-1, 0, 1/2
Factor 3/5*z**2 + 9/5 + 12/5*z.
3*(z + 1)*(z + 3)/5
Suppose 2*d = -m - 3*m - 28, 2*m + 2*d + 18 = 0. Let j = 10 + m. Factor -j*b - 8*b**2 + 2*b + 294*b**5 - 266*b**4 + 80*b**3 + 3*b.
2*b**2*(3*b - 1)*(7*b - 2)**2
Let i be (-12)/8*(-42)/9. Suppose -i*o - 8 = -9*o. Factor 0*m - 2/5*m**2 + 0 + 4/5*m**3 - 2/5*m**o.
-2*m**2*(m - 1)**2/5
Suppose 0 = -0*j + 2*j + 14. Let b = -3 - j. Factor 15*o**2 - 2*o + 7*o**4 - b*o**2 - 16*o**3 + 0*o.
o*(o - 1)**2*(7*o - 2)
Let u(r) be the second derivative of -r**4/72 - r**3/36 + 9*r. Suppose u(i) = 0. What is i?
-1, 0
Suppose l + 1 - 41 = 4*s, 0 = 2*l - 2*s - 50. Suppose 4 - 6*k + l*k - 10*k + k**2 = 0. What is k?
-2
Let -35*g**3 - g**5 + 48*g**3 + 18*g**4 + 39*g**3 - 72*g**2 + 16*g - 13*g**5 = 0. Calculate g.
-2, 0, 2/7, 1, 2
Let w = -156 + 161. Solve -2/5*q**3 + 2/5*q**w + 0*q**4 + 0*q**2 + 0*q + 0 = 0.
-1, 0, 1
Factor 32*a**5 + 13*a**2 + 84*a**4 + 28*a**4 + 4 + 152*a**3 + 87*a**2 + 32*a.
4*(a + 1)**2*(2*a + 1)**3
Suppose 5*x - 2*z - 2 = 0, -z - 4*z = -20. Let t be x/(-11) - (-96)/44. Let 5*s**4 + 15*s**3 - 3*s**3 + t*s + 9*s**2 + 0*s**3 = 0. What is s?
-1, -2/5, 0
Let q(m) = m**3 + 6*m**2 + 5*m - 2. Let i be q(-5). Let l be 5 - (2 + (i - -1)). Factor 3*a - a**2 - l*a + 0*a**2.
-a*(a + 1)
Suppose -b + 7 + b**3 + 0 - 2*b**2 - 3 - 2 = 0. Calculate b.
-1, 1, 2
Let b(n) be the first derivative of n**5/105 - n**4/84 - n**3/21 + 3*n**2/2 + 4. Let u(g) be the second derivative of b(g). Factor u(h).
2*(h - 1)*(2*h + 1)/7
Let x be -3 - 10*(-3)/6. Suppose 3*j - x*m = 10, -2*j + m + 3 = -3. Suppose 1/4*f + 0 + 1/4*f**j = 0. Calculate f.
-1, 0
Let y be (4 + -4)/(-2) + -33. Let j be 16/y - 8/(-12). Suppose -2/11*o**2 + 2/11 + 2/11*o**3 - j*o = 0. What is o?
-1, 1
Let l be -3 + 10*(-2)/(-4). Factor 0*n + 5*n**2 + 4*n + n**l + 4*n**2.
2*n*(5*n + 2)
Let t be 3/(1 - (-31)/(-34)). Let m be 2/(-9) + t/72. Let -m*y**2 + y - 1 = 0. Calculate y.
2
Let n(a) be the first derivative of -a**6/57 - 8. Factor n(r).
-2*r**5/19
Suppose 2*x - 3 = 3. Suppose -p + 2*i + 6 = 0, x*i + 2 = 5*p + 7*i. Solve -2/7 + 0*f - 2/7*f**4 + 4/7*f**p + 0*f**3 = 0.
-1, 1
Let d be 3/(-3)*(-1 - -4)/(-1). Factor -2/9*y**2 + 2/9*y**5 + 0*y + 2/9*y**4 - 2/9*y**d + 0.
2*y**2*(y - 1)*(y + 1)**2/9
Let t(m) be the first derivative of m**8/112 - 2*m**7/35 + 3*m**6/20 - m**5/5 + m**4/8 + 3*m**2 + 8. Let w(r) be the second derivative of t(r). Factor w(z).
3*z*(z - 1)**4
Let v(l) = -l**3 + l. Let g(i) = -6*i**3 + 6*i. Let c(h) = -g(h) + 4*v(h). Factor c(u).
2*u*(u - 1)*(u + 1)
Let v(c) be the second derivative of c**6/225 - 11*c**5/150 + 4*c**4/15 + 4*c**3/5 - 22*c. What is y in v(y) = 0?
-1, 0, 6
Suppose j - 5*j = 8. Let y = 0 - j. Let -25/2*q**4 - y*q + 8*q**2 - 5/2*q**3 + 0 = 0. What is q?
-1, 0, 2/5
Let i be (-4)/(-8) + (-5)/(-2). Factor -8*j**5 + i*j**5 + 2*j**5 + 3*j**4.
-3*j**4*(j - 1)
Let r(u) be the second derivative of u**6/10 + 3*u**5/10 + u**4/4 - 4*u. Suppose r(a) = 0. Calculate a.
-1, 0
Let b(x) be the first derivative of x**6/10 + 3*x**5/10 + x**4/4 + x + 6. Let i(q) be the first derivative of b(q). Find g such that i(g) = 0.
-1, 0
Let s(l) = -l**2 + l - 1. Let h(m) = 20*m**2 + 32*m - 3. Let d(x) = 4*h(x) - 20*s(x). Factor d(a).
4*(a + 1)*(25*a + 2)
Let r(j) be the third derivative of -j**5/360 - 5*j**4/144 - j**3/9 + 8*j**2. Let r(n) = 0. What is n?
-4, -1
Let f(l) = 58*l**2 - 190*l - 72. Let n(w) = 23*w**2 - 76*w - 29. Let r(b) = -5*f(b) + 12*n(b). What is u in r(u) = 0?
-2/7, 3
Let i be 36/16 - 12/6. Determine r, given that -i*r**2 + 1/4*r + 0 = 0.
0, 1
Let c = -61 + 309/5. Factor -c + 2/5*n + 2/5*n**2.
2*(n - 1)*(n + 2)/5
Suppose -5*k = 5*x - 80, 2*x + 59 = 2*k + 3*k. Factor -4*w - w**2 + k*w**2 - 6*w**3 + 13*w**3.
w*(w + 2)*(7*w - 2)
Let b(z) be the second derivative of z**6/1620 + z**5/270 - 2*z**3/3 - 4*z. Let t(l) be the second derivative of b(l). Factor t(x).
2*x*(x + 2)/9
Factor 6/5*r**3 - 6/5*r**4 + 0*r + 0 - 2/5*r**2 + 2/5*r**5.
2*r**2*(r - 1)**3/5
Let i(v) be the third derivative of -v**5/60 + v**4/8 + v**3/3 + 3*v**2. Let x be i(3). Suppose x + 4*j - 3 - 6*j - j**2 = 0. Calculate j.
-1
Factor y - 2*y**3 + 2*y - 3*y - 2 + 2*y + 2*y**2.
-2*(y - 1)**2*(y + 1)
Let w be ((-9)/48)/(147/(-28) + 5). Factor 3/4*j - w*j**3 - 3/4*j**4 + 3/4*j**2 + 0.
-3*j*(j - 1)*(j + 1)**2/4
Suppose -5*x = -14 - 6. Let -w**3 + 3*w**5 - w**x + w**4 - 2*w**5 = 0. Calculate w.
-1, 0, 1
Let a(l) = -l**2 + l. Let s(r) = 2*r**2 - 4*r. Let h(p) = -a(p) - s(p). Suppose h(j) = 0. Calculate j.
0, 3
Let d = 150337/108 - 1392. Let u(w) be the third derivative of d*w**4 + 2*w**2 + 0*w**3 + 0 + 0*w - 1/135*w**5 + 1/540*w**6. Factor u(x).
2*x*(x - 1)**2/9
Let n = -2 - -5. Factor -1 + 0*l**4 - 7*l + 2*l**n + 5*l + l**4.
(l - 1)*(l + 1)**3
Let h be 105/91 + 2/(-13). Factor 0 - h - 2*y**3 + 6*y - 3.
-2*(y - 1)**2*(y + 2)
Let w(q) be the second derivative of 0*q**3 + 0*q**2 + 0 - 1/24*q**4 + 2*q. What is o in w(o) = 0?
0
Let x(t) = 8*t - 48. Let q be x(6). Let g(v) be the third derivative of 1/40*v**5 + q - 1/280*v**7 + v**2 - 1/8*v**3 + 0*v + 0*v**6 + 0*v**4. Factor g(y).
-3*(y - 1)**2*(y + 1)**2/4
Let x(h) = h**2 - 5*h + 2. Let u(n) = 12*n**2 - 66*n + 27. Let q(t) = -2*u(t) + 27*x(t). Factor q(z).
3*z*(z - 1)
Let j be 4*2/(-4) + -30. Let b be j/(-10) + 4/(-20). Find x such that 2/5*x**4 + 4/5*x**b + 2/5*x**2 + 0*x + 0 = 0.
-1, 0
Find s such that -4/3*s**2 - 4*s + 16/3 = 0.
-4, 1
Let p be (-76)/(-16) + (-9)/12. Let q be 102/108 + (-2)/p. Factor q*g**4 + 0*g**3 - 2/9*g**5 + 2/9*g - 4/9*g**2 + 0.
-2*g*(g - 1)**3*(g + 1)/9
Suppose 5*x = f - 0*f - 22, 2*f = -x. Suppose -5*d + 2*a + 2 + 3 = 0, -16 = -f*d - 2*a. Factor -2/3*b + 1/3*b**2 + 0 + 1/3*b**d.
b*(b - 1)*(b + 2)/3
Let c(r) be the first derivative of -1/12*r**2 + 1 + 1/18*r**3 + 0*r. Factor c(s).
s*(s - 1)/6
Let f(o) be the second derivative of 1/21*o**4 - 8/105*o**6 + 3*o + 1/70*o**5 + 0*o**2 + 0*o**3 + 0 + 5/147*o**7. Factor f(k).
2*k**2*(k - 1)**2*(5*k + 2)/7
Let g(p) = p - 4. Let z be g(4). Let f be ((-16)/(-6