/2*w + 2*w**3 - w**2 + 1 = 0.
-2, -1, 1
Let i be 6 + (-4)/(-16)*(-611)/26. Factor 0*y + i*y**3 - 3/8*y**2 + 1/2.
(y - 2)**2*(y + 1)/8
Let z(o) be the second derivative of o**6/105 - 6*o**5/35 + 23*o**4/21 - 20*o**3/7 + 25*o**2/7 - 187*o. Solve z(p) = 0 for p.
1, 5
Let u(c) be the third derivative of -17*c**2 + 1/720*c**5 + 0*c + 0*c**4 + 0 - 1/72*c**3. Factor u(m).
(m - 1)*(m + 1)/12
Let g(y) be the first derivative of -y**5 - 50*y**2 + 35/3*y**3 - 2 + 60*y + 5/2*y**4. What is i in g(i) = 0?
-3, 1, 2
Suppose -5*u = -2*r + 28, 5*u + 33 = 13. Suppose -r*x = -0*x. Find z such that x*z**2 - 7 + 6 + z**2 - z + z**3 = 0.
-1, 1
Let q be (-7 + -7 + 14)*1/2. Let a(f) be the third derivative of 0*f**3 - 1/180*f**5 - 1/36*f**4 + 12*f**2 + q*f + 1/360*f**6 + 0. Factor a(g).
g*(g - 2)*(g + 1)/3
Let k(u) be the second derivative of -u**6/10 - 9*u**5/10 - 3*u**4 - 5*u**3 - 9*u**2/2 - 2*u - 94. Factor k(i).
-3*(i + 1)**3*(i + 3)
Let q(h) be the first derivative of h**4 - 8*h**3 + 16*h**2 + 37. Find y, given that q(y) = 0.
0, 2, 4
Factor 0 + 25/7*i - 1/7*i**2.
-i*(i - 25)/7
Suppose 0 = 4*w - 41 - 91. Suppose -2*q - 49 = -5*d + 6, -3*d + 3*q + w = 0. Factor 11*l + 5*l**5 + 3*l**4 - 9*l + 4*l**3 - d*l**3 - 3*l**2.
l*(l - 1)*(l + 1)**2*(5*l - 2)
Let x(p) be the second derivative of p**6/90 - 29*p**5/60 + 193*p**4/36 + 95*p**3/6 - 75*p**2 + 159*p. Factor x(v).
(v - 15)**2*(v - 1)*(v + 2)/3
Suppose -5*l - 3*i + 5 + 24 = 0, 3*i = 9. Let k(z) be the second derivative of 0 - 1/12*z**l - 1/2*z**3 + 2*z**2 - 9*z. Factor k(u).
-(u - 1)*(u + 4)
Let l = -2236/63 - -250/7. Factor l*t**3 + 2/9*t**2 - 2/9 - 2/9*t.
2*(t - 1)*(t + 1)**2/9
Solve 1/5 - 3/5*c + 3/5*c**2 - 1/5*c**3 = 0.
1
Let l(d) = d**4 + 13*d**3 - 32*d**2 + 20*d - 4. Let r(m) = 6*m**4 + 65*m**3 - 160*m**2 + 100*m - 22. Let n(c) = -33*l(c) + 6*r(c). Find w such that n(w) = 0.
0, 1, 2, 10
Let a = -40651/3 - -13555. Solve 16/3*r - 2/3*r**2 - a = 0 for r.
1, 7
Let b(w) = -2*w + 30. Let x be b(14). Suppose 11*t**2 - 25*t**2 - t**3 + 9*t**x - 9*t + 11*t**2 = 0. Calculate t.
0, 3
Let b(s) be the third derivative of 0*s + 0 - 1/6*s**4 - 3*s**2 + 0*s**3 - 1/15*s**5. Factor b(x).
-4*x*(x + 1)
Factor 6/5*h**3 + 1/5*h**4 - 24/5*h + 16/5 + 1/5*h**2.
(h - 1)**2*(h + 4)**2/5
Suppose -10 = -4*p - 0*p - 2*k, -2*p - 5*k + 9 = 0. Factor 8*a - 4*a + 27*a**2 - 8*a**4 - 9*a**p + 6*a**3.
-2*a*(a - 2)*(a + 1)*(4*a + 1)
Suppose -43*h = -44*h + 16. Let x = -16 + h. Factor x*g - 6/5*g**4 + 0 + 0*g**2 - 2*g**5 + 4/5*g**3.
-2*g**3*(g + 1)*(5*g - 2)/5
Let z(y) = 18*y**3 + 22*y**2 + 7*y + 3. Let t(h) = 17*h**3 + 23*h**2 + 8*h + 2. Suppose 7*r = 5 + 9. Let s(v) = r*z(v) - 3*t(v). Factor s(f).
-5*f*(f + 1)*(3*f + 2)
Let y(m) be the second derivative of m**6/135 - 4*m**4/9 + 64*m**3/27 - 16*m**2/3 + 182*m. Suppose y(u) = 0. Calculate u.
-6, 2
Let x(n) be the third derivative of -n**6/540 + 2*n**5/135 - n**4/108 - 2*n**3/9 + 130*n**2. Factor x(b).
-2*(b - 3)*(b - 2)*(b + 1)/9
Let n(v) = 20*v**4 - 212*v**3 + 320*v**2 - 12*v. Let m(h) = 8*h**4 - 85*h**3 + 128*h**2 - 5*h. Let o(d) = 12*m(d) - 5*n(d). Factor o(x).
-4*x**2*(x - 8)*(x - 2)
Let t(u) be the second derivative of -u**7/42 + 7*u**6/30 - 3*u**5/4 + 13*u**4/12 - 2*u**3/3 - 130*u. Solve t(d) = 0 for d.
0, 1, 4
Let d(z) be the second derivative of -11*z**6/5 - 156*z**5/5 - 1187*z**4/11 + 1560*z**3/11 - 675*z**2/11 + 461*z. Suppose d(u) = 0. What is u?
-5, 3/11
Let i = 8191/135 - 303/5. Let a(o) be the first derivative of -1/6*o**4 + i*o**3 + 0*o**2 - 8/45*o**5 + 0*o + 3. Factor a(c).
-2*c**2*(c + 1)*(4*c - 1)/9
Let k(w) = -w**2 - 4*w + 8. Suppose 2*r - 16 + 11 = -5*m, 4*r = m - 23. Let l be k(r). What is n in 13/3*n**l + 9/2*n**2 - 2/3 + 2/3*n + 7/6*n**4 = 0?
-2, -1, 2/7
Let k = -39 + 44. Suppose 2*l + 0*l = -2*j + 4, -10 = k*l - 5*j. Solve 0*r**2 - 1/4*r**3 + 0 + 1/4*r**4 + l*r = 0.
0, 1
Let n be (2 - 4) + 99 - -2. Suppose -101*v + n*v = 0. Factor -1/2*r**2 + 1/2*r**3 + 1/2*r**4 + 0*r - 1/2*r**5 + v.
-r**2*(r - 1)**2*(r + 1)/2
Let c be -18*3/(-5)*(-30)/12. Let b be ((-8)/6)/((-6)/c*-3). Find v, given that -5/2*v**4 - 5/2*v - 5*v**b - 1/2*v**5 - 1/2 - 5*v**3 = 0.
-1
Suppose 119 - 15 = 26*h. Let y be (-2)/(-7) - (-144)/476. Find k such that 4/17*k**3 - 10/17*k**h - 4/17*k + y*k**2 + 0 = 0.
-1, 0, 2/5, 1
Let r be (-285)/(-420) + 3/(-12). Solve r*h**2 - 6/7 + 3/7*h = 0.
-2, 1
Let s = 19934/3 + -6643. Factor -15*c**3 - 45*c + 0 - 45*c**2 - s*c**4.
-5*c*(c + 3)**3/3
Let g = -93/2 + 281/6. Factor u**4 - 4/3*u**3 + g*u**2 + 0*u + 0.
u**2*(u - 1)*(3*u - 1)/3
Let g(p) = 9*p**2 - 50. Let h(i) = -5*i**2 - i + 26. Let m(w) = -4*g(w) - 7*h(w). Determine b, given that m(b) = 0.
-2, 9
Let r = -47 + 51. Solve -3*z**r - 19*z - 16 + 12*z**2 + 3*z + 7*z**4 + 9*z**3 + 7*z**3 = 0 for z.
-2, -1, 1
Factor 58335*i**2 + 3*i**4 + 129916*i**2 - 48283*i**2 + 1296*i**3.
3*i**2*(i + 216)**2
Let u = 70721/4 + -17680. Factor 1/2*d**2 - 1/2 + u*d - 1/4*d**3.
-(d - 2)*(d - 1)*(d + 1)/4
Let f(h) = 19*h**3 + 80*h**2 + 70*h + 53. Let k(w) = -4*w**3 - 16*w**2 - 14*w - 10. Let m(p) = 2*f(p) + 11*k(p). Determine t so that m(t) = 0.
-1, -2/3
Let z(o) = 4*o**2 - 4*o - 8. Let c(a) = a**3 + a**2. Suppose -3*b = -s - 8, 0 = 4*s - 2*s + 5*b - 17. Let h(x) = s*z(x) + 4*c(x). Determine g so that h(g) = 0.
-2, -1, 1
Suppose 157*w = 153*w + 20. Let y(t) be the first derivative of -1 + 1/24*t**3 + 1/48*t**6 + 3/40*t**w + 0*t + 3/32*t**4 + 0*t**2. Let y(f) = 0. What is f?
-1, 0
Let i = -12 + 15. Let m(a) = 19*a**2 + 88*a + 11 + 61 - i*a**2. Let t(z) = -3*z**2 - 16*z - 13. Let y(o) = 5*m(o) + 28*t(o). Factor y(d).
-4*(d + 1)**2
Factor 74/3*i + 1369 + 1/9*i**2.
(i + 111)**2/9
Factor -358 - 17*o**2 - 69*o**2 - 725 - 31*o**2 - 1197*o - 3*o**3.
-3*(o + 1)*(o + 19)**2
Let f(v) be the first derivative of -v**5/25 + 17*v**4/20 - 8. Factor f(k).
-k**3*(k - 17)/5
Let b be -6 - (7 + -12) - (-6292)/17. Let r = -369 + b. Let 8/17*p + 8/17 + r*p**2 = 0. What is p?
-2
Let h be -5 - ((-12)/16 + -5). Let -h*k**2 + 21/4*k - 9/2 = 0. Calculate k.
1, 6
Let g be 6/(-8) - 13/4. Let r be (1/(-6))/(g/6). Suppose 0*a + 0 - 3/4*a**4 - 1/4*a**2 - r*a**5 - 3/4*a**3 = 0. What is a?
-1, 0
Let r(b) be the second derivative of b**6/15 + 13*b**5/10 + 61*b**4/6 + 41*b**3 + 90*b**2 - 212*b. Factor r(p).
2*(p + 2)*(p + 3)**2*(p + 5)
Let d(g) = -g**2 - 6*g + 2. Let m be 184/(-32) - 2/8. Let z be d(m). Factor -z*c**2 + 2 - 2 + 2.
-2*(c - 1)*(c + 1)
Let f(m) = m**3 + 2*m**2 + 6*m + 12. Let p be f(-2). Let b(i) be the third derivative of p*i + 3/2*i**3 - 5*i**2 + 1/2*i**4 + 1/20*i**5 + 0. Factor b(g).
3*(g + 1)*(g + 3)
Let f(z) be the third derivative of 1/3*z**4 + 0*z - 1/168*z**8 + 11/30*z**5 + 0 + 1/105*z**7 + 0*z**3 + 3/20*z**6 - 3*z**2. Let f(a) = 0. Calculate a.
-1, 0, 4
Let j(y) be the second derivative of y**7/84 + 11*y**6/120 + 21*y**5/80 + y**4/3 + y**3/6 + 145*y. Let j(x) = 0. Calculate x.
-2, -1, -1/2, 0
Determine o so that -2/11*o**5 + 24/11*o + 12/11*o**4 - 16/11 - 2*o**3 + 4/11*o**2 = 0.
-1, 1, 2
Suppose 16*a**5 - 3*a**3 - 10*a**5 - 5*a**5 - 4*a**2 + 8*a + 14*a**2 - 4*a**4 = 0. Calculate a.
-1, 0, 2, 4
Factor 256*i**2 - 5*i**4 - 23*i**4 - 50*i**3 - 2*i**5 - 14*i**3.
-2*i**2*(i - 2)*(i + 8)**2
Let q = 20 - 39. Let f be (-2)/9*(10 + q). Let 2/15*j + 2/15*j**f + 0 = 0. What is j?
-1, 0
Let q(x) be the first derivative of 3/14*x**4 - 11 - 18/7*x - 2/7*x**3 - 15/7*x**2. Factor q(c).
6*(c - 3)*(c + 1)**2/7
Let v(y) be the first derivative of -y**4/4 - y**3/3 + y**2/2 + y + 86. Determine i, given that v(i) = 0.
-1, 1
Determine k so that 0 + 31/2*k + 1/2*k**2 = 0.
-31, 0
Let n(i) be the second derivative of -i**6/75 - i**5/50 + 3*i**4/5 + 52*i**3/15 + 8*i**2 - 83*i. Find z, given that n(z) = 0.
-2, 5
Suppose -11*m = -14*m + 1659. Let w = m - 3853/7. Factor 36/7*q + 3/7*q**3 + w*q**2 + 24/7.
3*(q + 2)**3/7
Let v(r) be the first derivative of -5*r**3/3 - 875*r**2 - 153125*r + 581. Factor v(f).
-5*(f + 175)**2
Let v(x) = -24*x**3 - 61*x**2 - 54*x + 100. Let l(d) = 11*d**3 + 30*d**2 + 27*d - 50. Let k(m) = 13*l(m) + 6*v(m). Factor k(n).
-(n - 25)*(n - 1)*(n + 2)
Let n(z) be the third derivative of -1/56*z**4 + 0*z**3 - 2*z**2 - 3/280*z**6 + 3/140*z**5 + 1/490*z**7 + 0 + 0*z. Factor n(x).
3*x*(x - 1)**3/7
Let w = 3899/11751 + 6/3917. Factor -4/3 - w*j**2 + 5/3*j.
-(j - 4)*(j - 1