ppose y(g) = 0. What is g?
0, 1
Let z be ((-26)/6 + 4)/(-1). Determine y so that -2/3*y - z - 1/3*y**2 = 0.
-1
Let j be (12/(-15))/((-4)/10). Factor -1 - 2*r - r**j + 3*r + r.
-(r - 1)**2
Solve 0 - 1/3*y**2 - 2/3*y = 0.
-2, 0
Let b(s) be the third derivative of -1/35*s**7 + 2/15*s**5 + 0*s + 2*s**2 + 0*s**6 + 0*s**3 + 0*s**4 - 1/168*s**8 + 0. Factor b(z).
-2*z**2*(z - 1)*(z + 2)**2
Let z = -10 + 13. Let f(t) = 3*t + 1. Let m be f(5). What is h in -3*h**2 - h + m*h**3 - 15*h**z + 2*h**2 + h**4 = 0?
-1, 0, 1
Let p be (1 - (-30)/6)*(-10)/(-42). Let p*r**3 - 2/7*r**4 - 4/7 + 2*r - 18/7*r**2 = 0. Calculate r.
1, 2
Factor 5/6*k**2 - 2/3*k**3 + 0 + 1/6*k**4 - 1/3*k.
k*(k - 2)*(k - 1)**2/6
Let 24/5*r + 3/5*r**4 - 6/5*r**3 - 12/5*r**2 + 0 = 0. Calculate r.
-2, 0, 2
Factor 0*h**2 - 1 + 8*h + 2*h**3 - 8*h**2 + 2*h - 3.
2*(h - 2)*(h - 1)**2
Factor -3/10 + 1/5*l**2 + 1/2*l.
(l + 3)*(2*l - 1)/10
Let i(d) be the second derivative of -5*d**7/14 + 28*d**6/15 - 4*d**5 + 9*d**4/2 - 17*d**3/6 + d**2 + 5*d. Determine s so that i(s) = 0.
1/3, 2/5, 1
Let d(m) be the first derivative of -1/6*m**4 + 0*m - 5/18*m**3 - 1/30*m**5 - 1/6*m**2 - 8. Factor d(x).
-x*(x + 1)**2*(x + 2)/6
Let q(m) = 3*m**3 - 3*m**2 - 6*m. Let p(f) = f**3 - 2*f**2 - 3*f. Let t(d) = -15*p(d) + 6*q(d). Factor t(s).
3*s*(s + 1)*(s + 3)
Let v(u) be the first derivative of -9*u**6/4 + 9*u**5/10 + 3*u**4 - 2*u**3 - 5. Solve v(c) = 0.
-1, 0, 2/3
Suppose 8 = 2*w - 0*w. Suppose 4*x - 2*o + o - 12 = 0, -5*x = w*o - 15. Solve 4/7*t**2 - 2/7*t + 0 - 2/7*t**x = 0 for t.
0, 1
Let t(x) be the second derivative of -x**4/8 - 7*x**3/4 - 9*x**2/2 + 3*x. Factor t(s).
-3*(s + 1)*(s + 6)/2
Factor 0 - 3/5*n**2 - 6/5*n + 3/5*n**3.
3*n*(n - 2)*(n + 1)/5
Let z(q) be the first derivative of -2*q**5/15 + 7*q**4/9 - 34*q**3/27 + 2*q**2/3 - 18. Suppose z(x) = 0. Calculate x.
0, 2/3, 1, 3
Determine w so that 2/3*w - 1/6*w**4 - 1/2*w**2 - 2/3*w**3 + 2/3 = 0.
-2, -1, 1
Let m(b) be the third derivative of b**8/1344 - b**7/42 + b**6/3 - 8*b**5/3 + 40*b**4/3 - 128*b**3/3 + 6*b**2. Determine h, given that m(h) = 0.
4
Let o(s) be the third derivative of 0*s + 1/24*s**4 + 1/60*s**5 + 0*s**3 + 0 + s**2. Factor o(f).
f*(f + 1)
Let n = 3 - 3. Suppose -2*s + n*s + 10 = 0. Factor 0*q**3 + 7*q**3 - 2 - s*q**3 - 2*q + 2*q**2.
2*(q - 1)*(q + 1)**2
Let p(h) be the first derivative of -h**4/2 - 10*h**3 - 63*h**2 - 98*h + 18. Factor p(g).
-2*(g + 1)*(g + 7)**2
Find l, given that -1/3*l**3 + l**2 + 1/3 - l = 0.
1
Let s(y) = y**2 + 6*y + 1. Let g be s(-6). Suppose g = -4*a + 17. Factor 2/3*r**3 + 4/3*r**a + 0 + 0*r**2 + 2/3*r**5 + 0*r.
2*r**3*(r + 1)**2/3
Solve -5/3*i - 1/3*i**2 - 2 = 0 for i.
-3, -2
Let j = 702/5 - 140. Let s = 7 + -4. Factor 0*u - 2/5*u**2 + 0 + 0*u**s + j*u**4.
2*u**2*(u - 1)*(u + 1)/5
Let l(j) = -3 - 6 + 11*j**2 - j + j**3 + 0. Let o be l(-11). Find x such that -o*x**3 + 6*x**3 + 2*x**2 - 7*x + 5*x = 0.
-1, 0, 1/2
Let r(o) = o**3 + 7*o**2 - 9*o - 6. Let z be r(-8). Suppose 3*f = 5*j + 37, -10 = z*j - 0*j. Factor 11*p**2 - 10*p**3 + 8*p**f - p**4 - 6*p**3 - 2*p.
p*(p - 1)**2*(7*p - 2)
Let i(a) be the third derivative of a**6/60 + a**5/30 - a**4/3 - 4*a**3/3 - 31*a**2. Factor i(f).
2*(f - 2)*(f + 1)*(f + 2)
Let p(o) be the second derivative of o**7/105 - o**5/15 + o**3/3 + 2*o**2 + 4*o. Let l(f) be the first derivative of p(f). Factor l(z).
2*(z - 1)**2*(z + 1)**2
Let j = 22 + -22. Let a(s) be the second derivative of -3/10*s**5 + 1/3*s**3 - s - 1/3*s**4 + 0 + 4/21*s**7 + 4/15*s**6 + j*s**2. Let a(r) = 0. Calculate r.
-1, 0, 1/2
Let i be 6/(3/5 + -1). Let v be (-1 + 3)/((-10)/i). Let -1/2*m + 0*m**2 + 0 - 4*m**4 + 3/2*m**5 + v*m**3 = 0. What is m?
-1/3, 0, 1
Let y(i) be the first derivative of i**4/18 - i**3/9 - 2*i**2/3 - 3*i + 5. Let t(m) be the first derivative of y(m). Determine x so that t(x) = 0.
-1, 2
Let l(v) = -13*v**2 + 1 - 14 - 17*v - 4. Let a(d) = -9*d**2 - 11*d - 11. Let i(o) = o**3 - 6*o**2 + 7. Let z be i(6). Let t(h) = z*a(h) - 5*l(h). Factor t(u).
2*(u + 2)**2
Let q(s) = 2*s - 6. Let z be q(4). Solve k**2 + 2 + 0*k**z - 3*k**2 = 0.
-1, 1
Let x(y) be the first derivative of -2*y**3/3 - 4*y**2/3 - 2*y/3 - 3. Factor x(j).
-2*(j + 1)*(3*j + 1)/3
Let c(b) be the first derivative of -16/3*b**3 - 4/5*b - 2 - 17/5*b**2 - 8/5*b**4. Suppose c(v) = 0. What is v?
-2, -1/4
Let c(p) be the third derivative of -1/84*p**4 - 1/70*p**6 - 1/1176*p**8 + 0 + 2/105*p**5 + 4/735*p**7 + 0*p**3 + 0*p + p**2. Find g, given that c(g) = 0.
0, 1
Factor -1/10*s**5 + 0*s**4 + 1/10*s**3 + 0*s + 0 + 0*s**2.
-s**3*(s - 1)*(s + 1)/10
Determine t, given that t**4 - 14*t**3 + 6*t**3 + 10*t**3 = 0.
-2, 0
Let i(l) be the second derivative of 3/40*l**5 + 0*l**2 - 1/8*l**4 + 0 - 7*l - 1/4*l**3 + 1/20*l**6. Solve i(z) = 0 for z.
-1, 0, 1
Let j(g) be the second derivative of g**6/360 - g**4/24 + g**3/3 + 3*g. Let u(h) be the second derivative of j(h). Let u(t) = 0. What is t?
-1, 1
Let x(j) be the third derivative of 5*j**8/336 - 5*j**7/42 + 3*j**6/8 - 7*j**5/12 + 5*j**4/12 + 4*j**2. Suppose x(p) = 0. Calculate p.
0, 1, 2
Let i(z) be the first derivative of -7*z**6 + 58*z**5/5 - 2*z**4 - 8*z**3/3 - 14. Find k such that i(k) = 0.
-2/7, 0, 2/3, 1
Let a(m) = 18*m**2 + 33*m - 15. Let p(w) = -w - 6. Let f be p(-5). Let s(z) = z**2 + z + 1. Let i(u) = f*a(u) - 3*s(u). Find r such that i(r) = 0.
-2, 2/7
Factor 533 - 533 - x**3.
-x**3
Determine u, given that -3/8*u**3 - 1/4 + 1/8*u + 1/2*u**2 = 0.
-2/3, 1
Suppose 0 = 4*w - 9 + 5. Factor 0*l**2 - 2*l**2 + 1 + w.
-2*(l - 1)*(l + 1)
Let t be (3*6/(-9))/(25/(-15)). What is b in -3/5*b**3 - t*b**4 + 0*b**2 + 0 - 3/5*b**5 + 0*b = 0?
-1, 0
Suppose -4*q = -0*q - 8. Find r, given that 2*r**4 - 2*r**5 - 4*r**2 + 2 + 2*r + 2*r**4 - q = 0.
-1, 0, 1
Let t(g) be the second derivative of -23*g**6/80 + 9*g**5/10 - g**4/8 + 2*g + 22. Find k, given that t(k) = 0.
0, 2/23, 2
Let t be 3 - (76/30 - 2/(-6)). Let a(f) be the first derivative of 0*f**2 + 3 + 0*f + t*f**5 - 1/6*f**4 + 0*f**3. Let a(n) = 0. Calculate n.
0, 1
Let s be 2*(2/7)/((-8)/(-7)). Factor 0 - i + 3/2*i**2 - s*i**3.
-i*(i - 2)*(i - 1)/2
Let j = 5 + -1. Let g(d) be the third derivative of -2*d**2 - 1/96*d**j + 0*d**3 + 0 + 1/240*d**5 + 0*d. Find i, given that g(i) = 0.
0, 1
Let w(m) = -m**2 - 14*m + 34. Let z be w(-16). Let s be (-3)/(6/4*-5). Suppose -s + 2*a**z + 4/5*a - 12/5*a**3 = 0. Calculate a.
-1/2, 1/3, 1
Let b(g) be the second derivative of -g**5/110 + g**3/33 + 26*g. Factor b(c).
-2*c*(c - 1)*(c + 1)/11
Let k(y) = -y**4 + 34*y**3 + 382*y**2 + 2050*y + 4096. Let t(c) = -c**4 + c**3 - c**2 + c. Let u(x) = 5*k(x) - 10*t(x). Factor u(i).
5*(i + 8)**4
Let b(n) be the first derivative of -81*n**3/4 + 27*n**2 - 12*n - 28. Factor b(x).
-3*(9*x - 4)**2/4
Let u(d) be the first derivative of -d**7/2940 + d**6/315 - d**5/84 + d**4/42 - 2*d**3/3 + 3. Let v(t) be the third derivative of u(t). Factor v(m).
-2*(m - 2)*(m - 1)**2/7
Let h(o) be the first derivative of o**8/168 + 2*o**7/105 + o**6/60 + o**2/2 - 1. Let f(t) be the second derivative of h(t). Let f(l) = 0. What is l?
-1, 0
Factor -r + 1/2*r**2 + 1/2.
(r - 1)**2/2
Let p(s) = 3*s**3 - s**2 + 3*s - 1. Suppose 3*u + 7 = 1. Let x(h) = 4*h**3 + 3*h - 1. Let o(g) = u*x(g) + 3*p(g). Factor o(f).
(f - 1)**3
Let b(w) be the third derivative of w**8/560 - w**6/200 - 11*w**2. Suppose b(y) = 0. Calculate y.
-1, 0, 1
Suppose -4*f = -12 - 4. Let t(y) = -f*y - 4 + 2*y**2 + 0*y + 11. Let o(c) = c**2 - 2*c + 3. Let m(w) = 10*o(w) - 4*t(w). Factor m(j).
2*(j - 1)**2
Let c(s) be the first derivative of -s**6/9 + 2*s**5/15 + 8. Let c(h) = 0. What is h?
0, 1
Let j(s) be the first derivative of 1/3*s**6 - s**2 + 2 + 0*s + 4/5*s**5 - 4/3*s**3 + 0*s**4. What is c in j(c) = 0?
-1, 0, 1
Suppose 0 = -4*r + 17 - 9. Suppose 0 = -0*x + r*x - 4. Factor -5*f**4 - 2*f - f**5 - 9*f**3 - 3*f**2 - f**2 - 3*f**x.
-f*(f + 1)**3*(f + 2)
Let g be (-2 - 10/(-4))*10. Suppose g*v**5 - 5*v**5 - 2*v**5 - v**3 - v**4 + 3*v**5 + v**2 = 0. Calculate v.
-1, 0, 1
Let i(c) be the third derivative of -1/600*c**6 + 3*c**2 + 1/300*c**5 + 0*c**4 + 0 + 0*c + 0*c**3. Suppose i(k) = 0. What is k?
0, 1
Let d(t) = -3*t**2 + t + 8. Let c(o) = -7*o**2 + 3*o + 17. Let x(w) = -4*c(w) + 10*d(w). Find h such that x(h) = 0.
-3, 2
Let o(c) be the second derivative of c**6/1