3 - 37*s**2. Factor d(m).
-5*(m - 1)*(m + 2)
Solve 88/5*k**2 + 36/5 - 32/5*k**3 + 4/5*k**4 - 96/5*k = 0.
1, 3
Let o(f) be the second derivative of -f**5/60 + f**4/24 + f**2/2 + f. Let m(i) be the first derivative of o(i). Factor m(z).
-z*(z - 1)
Let -4/15*f**5 + 2/3*f**2 + 2/3*f**3 + 0 - 2/3*f**4 - 2/5*f = 0. What is f?
-3, -1, 0, 1/2, 1
Let w(i) = -i**2 + i - 5. Let o(t) = -1. Suppose 4*h - 3*r - 8 = 0, -2*r - 8 + 3 = -3*h. Let k be h*1 + (-2 - -4). Let f(q) = k*w(q) - 5*o(q). Factor f(j).
-j*(j - 1)
Let b be (32/(-24))/(2/6). Let q = b + 4. Let 0*g - 1/5*g**4 + 4/5*g**3 + q - 4/5*g**2 = 0. Calculate g.
0, 2
Solve -4/7*a**5 + 4/7*a**3 + 2/7*a**4 + 0*a - 2/7*a**2 + 0 = 0 for a.
-1, 0, 1/2, 1
Let q = -83 + 419/5. Suppose q*v**2 - 2/5*v + 2/5*v**3 - 4/5 = 0. What is v?
-2, -1, 1
Let r(g) be the third derivative of g**9/15120 + g**8/5040 - g**7/1260 - g**6/180 + g**5/15 - 6*g**2. Let o(q) be the third derivative of r(q). Factor o(i).
4*(i - 1)*(i + 1)**2
Solve 0*z**4 + 6*z**2 - 7*z**2 - 3*z**4 + 3*z**3 - 4*z**5 + 5*z**5 = 0.
0, 1
Factor 0*c**2 - 2*c**3 + 12*c + 6*c**3 - 36 + 11*c**2 + 9*c**2.
4*(c - 1)*(c + 3)**2
Let o = -2687 - -29585/11. Factor -40/11*u - o*u**2 - 6/11*u**3 - 16/11.
-2*(u + 2)**2*(3*u + 2)/11
Factor -1/3*y**2 + 2/3*y + 0.
-y*(y - 2)/3
Let l(z) be the second derivative of -2*z - 5/24*z**4 - z**2 - 1/40*z**5 + 0 - 2/3*z**3. Factor l(y).
-(y + 1)*(y + 2)**2/2
Let h(v) = -255*v**2 + 88*v + 5. Suppose 0 = 4*i + 6 - 30. Let o(z) = -127*z**2 + 44*z + 2. Let y(g) = i*h(g) - 13*o(g). Solve y(s) = 0 for s.
2/11
Let m(z) = 9*z**3 - 24*z**2 + 16*z - 4. Let a(y) = y**2. Let o(k) = -6*a(k) - 2*m(k). Factor o(h).
-2*(h - 1)*(3*h - 2)**2
Let d = -299 + 907/3. Let z = d + -44/15. Factor 2/5*k**2 + 1/5*k**5 - z*k**3 - 1/5 - 1/5*k**4 + 1/5*k.
(k - 1)**3*(k + 1)**2/5
Let j(t) = 7*t**3 - 8*t**2 + 15*t - 4. Let i(u) = 3*u**3 - 4*u**2 + 7*u - 2. Let a(p) = -10*i(p) + 4*j(p). Factor a(d).
-2*(d - 2)*(d - 1)**2
Let i(s) be the first derivative of -3*s**4/4 - 11*s**3 - 60*s**2 - 144*s - 53. Factor i(g).
-3*(g + 3)*(g + 4)**2
Let y(z) = -18*z**4 + 42*z**3 - 22*z**2 - z + 4. Let x(g) = -19*g**4 + 41*g**3 - 21*g**2 - g + 5. Let a(l) = -2*x(l) + 3*y(l). Suppose a(k) = 0. Calculate k.
-1/4, 1/2, 2
Let w(b) = 60*b**3 + 120*b**2 + 35*b + 25. Let v(k) = -5*k**3 - 10*k**2 - 3*k - 2. Let f(a) = -25*v(a) - 2*w(a). Let f(h) = 0. What is h?
-1, 0
Let w(b) be the third derivative of -13/15*b**4 - 3*b**2 + 0*b - 67/75*b**5 - 36/175*b**7 - 8/15*b**3 - 9/280*b**8 - 57/100*b**6 + 0. Factor w(u).
-2*(u + 1)**2*(3*u + 2)**3/5
Let z = -1/409 - -1643/2863. Suppose 0 = 2*l - 0 - 2, 4*p = l + 7. Let -2/7*b**4 + 2/7*b**5 + 2/7*b + 4/7*b**p - 2/7 - z*b**3 = 0. Calculate b.
-1, 1
Let l(d) be the first derivative of 5*d**4/4 + 5*d**3 + 5*d**2 + 19. Let l(u) = 0. What is u?
-2, -1, 0
Let l(h) = 7*h**4 + 6*h**3 + 19*h**2 + 12*h + 10. Let x(r) = -r**4 - r**2 - 1. Let j(b) = -l(b) - 6*x(b). Determine d so that j(d) = 0.
-2, -1
Let p(l) be the second derivative of 0*l**3 + 1/10*l**5 + 1/6*l**4 + 0*l**2 + 0 - 2*l. Factor p(c).
2*c**2*(c + 1)
Let c be 2 - (1 + 0)*1. Let x(b) = -5*b + 1. Let h(d) = -d. Let p(r) = c*x(r) - 6*h(r). Let v(j) = -2*j**2 + 2*j + 4. Let f(l) = 4*p(l) - v(l). Factor f(y).
2*y*(y + 1)
Let a be ((-4)/(-12)*0)/2. Suppose 5*p + 4*c = -a*c, c = -2*p. Solve p*n + 0 - 1/2*n**2 = 0.
0
Let g(x) be the first derivative of 5*x**6/6 - 13*x**5/5 + x**4 + 4*x**3/3 + 3. Factor g(u).
u**2*(u - 2)*(u - 1)*(5*u + 2)
Let q(x) be the first derivative of x**3/5 - 3*x**2/5 + 3*x/5 + 4. Factor q(g).
3*(g - 1)**2/5
Let m(g) = -2*g**2 + 9*g + 4. Let a(k) = -k**2 + 4*k + 2. Let s(l) = -l**2 + 5*l + 8. Let p be s(7). Let w(n) = p*m(n) + 14*a(n). Factor w(b).
-2*(b - 2)*(b + 1)
Let k(r) be the second derivative of 1/54*r**4 + 0 - 2/9*r**2 - 3*r + 1/27*r**3. Factor k(i).
2*(i - 1)*(i + 2)/9
Find m such that 15*m**2 - 24*m**2 + 6*m**2 = 0.
0
Let h = -21 - -23. Let r(c) be the second derivative of 1/70*c**5 - 4*c + 0 + 0*c**3 - 1/21*c**4 + 0*c**h. Factor r(o).
2*o**2*(o - 2)/7
Suppose 0 = 5*h + m - 3, 0 = -7*h + 4*h + 5*m + 13. Let i(y) = 3*y**2 - 1. Let u be i(-2). Factor 1 + u*w + h + 3*w**3 + 8*w**2 - 4*w.
(w + 1)**2*(3*w + 2)
Let p be 2/8 - 9/36. Let h(d) be the second derivative of -2*d + 1/2*d**4 - 7/30*d**5 + 2/45*d**6 - 5/9*d**3 + 1/3*d**2 + p. What is t in h(t) = 0?
1/2, 1
Find w such that 2/5*w - 2/5*w**3 - 2/5*w**4 + 0 + 2/5*w**2 = 0.
-1, 0, 1
Determine i, given that 13*i + 11*i - 4*i**4 + 8*i**2 - 4 - 24*i = 0.
-1, 1
Suppose 0 = 5*s + 119*j - 117*j - 20, 35 = 5*s + 5*j. Determine f so that -2/3*f - 1/3 - 1/3*f**s = 0.
-1
Let x(i) be the first derivative of i**6/27 - 2*i**5/15 + i**4/18 + 2*i**3/9 - 2*i**2/9 + 6. Solve x(t) = 0.
-1, 0, 1, 2
Factor 0 - 4/7*p + 16/7*p**2.
4*p*(4*p - 1)/7
Let f(b) = b**3 + 4*b**2 - 7*b - 5. Let r be f(-5). Determine m so that 0*m**5 + 2*m**5 - 4*m**r - m**3 - 3*m**4 = 0.
-1, -1/2, 0
Let k = -1/41 + 85/123. Let b(c) = c**2 + 2*c - 1. Let i be b(1). Find g, given that -1/3*g**4 - k*g**3 + 0*g + 0 - 1/3*g**i = 0.
-1, 0
Factor -3*c**3 - 4*c + 4*c + 9*c + 2 + 4.
-3*(c - 2)*(c + 1)**2
Suppose -2*k + 59 = -43. Let j be (2 - k/9) + 4. Determine a, given that 0 + j*a**2 + a = 0.
-3, 0
Suppose -i = 5*o - 28, 16 = 2*i + 4*o - 2*o. Factor -r**2 + 5*r**2 - r**i + 27 + 5*r**2 - 27*r.
-(r - 3)**3
Let o(d) = -25*d**4 - 67*d**3 - 72*d**2 - 25*d - 4. Let l(z) = -z**3 + z**2 - z. Let y(x) = -15*l(x) - 5*o(x). Factor y(a).
5*(a + 1)**2*(5*a + 2)**2
Let l be ((-14)/(-8) + -1)/(20/40). Factor -l*o**2 - 2*o - 1/2*o**4 + 2 + 2*o**3.
-(o - 2)**2*(o - 1)*(o + 1)/2
Let u(y) be the second derivative of -5*y**7/84 + 5*y**6/12 - 5*y**5/8 - 25*y**4/24 + 5*y**3/2 - 27*y. Solve u(b) = 0.
-1, 0, 1, 2, 3
Suppose 2*t + 3*y - 2 = 7, -y = 5*t - 3. Let k(c) be the first derivative of 0*c**3 + 1 + t*c + 1/18*c**4 + 2/45*c**5 + 0*c**2. Factor k(z).
2*z**3*(z + 1)/9
Suppose 5 + 11 = 4*w. Let r(c) be the first derivative of -1/25*c**5 + 1/5*c**2 - 1/10*c**w + 1/5*c + 0*c**3 - 1. Factor r(h).
-(h - 1)*(h + 1)**3/5
Let v(l) be the second derivative of l**5/50 + 2*l**4/15 + 4*l**3/15 + 5*l. Factor v(f).
2*f*(f + 2)**2/5
Let l(u) be the third derivative of 1/240*u**6 + 0*u + 0 - 1/120*u**5 - 4*u**2 + 0*u**3 + 0*u**4. What is s in l(s) = 0?
0, 1
Let z be (2 + 4)*1/3. Factor -51*p**2 - 3*p**4 + 51*p**z + 3*p**3.
-3*p**3*(p - 1)
Let i be 2/(-6)*(11/22 + -5). Factor 0 + 0*f + 0*f**2 + i*f**4 - 3/2*f**3.
3*f**3*(f - 1)/2
Let q(s) be the second derivative of s**4/12 - s**3/3 - 4*s**2 - 32*s. Factor q(f).
(f - 4)*(f + 2)
Let k(b) = -31*b + 95. Let l be k(3). Let 3/7*p**4 - 24/7*p + 0 - 12/7*p**l + 6/7*p**3 = 0. Calculate p.
-2, 0, 2
Let q = 7 + -12. Let x be ((-3)/q)/(7/35). Factor -9*k - 2*k**5 - 9*k - 19*k**4 - 32*k**2 - 4 - 28*k**x + 7*k**4.
-2*(k + 1)**4*(k + 2)
Suppose j - 7*w + 12*w = 5, -5*j = -5*w + 5. Suppose -1/3*z**4 + j + 1/3*z + z**3 - z**2 = 0. What is z?
0, 1
Determine r so that -10 - 2/5*r**2 + 4*r = 0.
5
Let z(m) be the second derivative of -m**5/5 + m**4/3 - 10*m + 2. Let z(k) = 0. What is k?
0, 1
Let u be (-34)/(-24) + 33/(-44). Solve -2/9 + u*s - 4/9*s**2 = 0 for s.
1/2, 1
Let t(r) = r**4 + 13*r**3 + 5*r**2 - 3*r + 4. Let h(b) = -2*b**4 - 38*b**3 - 14*b**2 + 10*b - 12. Let y(i) = -5*h(i) - 14*t(i). Factor y(s).
-4*(s - 1)**3*(s + 1)
Let w(j) be the second derivative of -j**9/12096 + j**8/6720 - j**3/2 - j. Let t(l) be the second derivative of w(l). Determine m, given that t(m) = 0.
0, 1
Let k be -2*(-1 + 3/4). Let q(j) be the first derivative of 1/12*j**6 - 3 + 0*j - k*j**2 + 5/6*j**3 - 1/10*j**5 - 3/8*j**4. Factor q(g).
g*(g - 1)**3*(g + 2)/2
Suppose -4*h + 12 = u, 5*u + 3 = h + u. Factor 0*r + 0 + 3/4*r**h - 1/2*r**4 - 1/4*r**2.
-r**2*(r - 1)*(2*r - 1)/4
Let p be ((-9)/(-6))/(1/2). Factor 2*j**p - 2*j + 3*j - 3*j.
2*j*(j - 1)*(j + 1)
Let p = -2/87 - -31/87. Factor 2/3 - p*d**3 + 0*d**2 + d.
-(d - 2)*(d + 1)**2/3
Factor 0 - 18/5*i + 2/5*i**2.
2*i*(i - 9)/5
Let o(j) be the second derivative of j**7/14 - 2*j**6/5 + 3*j**5/5 + j**4/2 - 5*j**3/2 + 3*j**2 - 6*j. What is d in o(d) = 0?
-1, 1, 2
Let q = -177784 - -1954339/11. Let p = q + 117. Factor 0 - 2/11*v**5 + 0*v**2 + 0*v**3 - p*v**4 + 0*v.
-2*v**4*(v + 1)/11
Let w(p) = -2*p**2 - 17*p + 52. Let v(n) = 3*n**2 + 33*n - 103. Let y(g)