-3, -1, 2
Let z(i) = 4*i**5 + 7*i**3 + 4*i. Let o(g) = -5*g**5 - 8*g**3 - 5*g. Suppose c - x - 1 + 5 = 0, 8 = -4*x. Let b(v) = c*z(v) - 5*o(v). Factor b(h).
h*(h - 1)**2*(h + 1)**2
Suppose -82 = 5*d - 22. Let h be (-42)/(-24) + (-3)/d. Solve 2*v**4 + 5/2*v - 1/2*v**5 - 1 - v**h - 2*v**3 = 0 for v.
-1, 1, 2
Suppose q + 14 - 6 = 5*m, 0 = -q - 2*m + 6. Factor 12*a**3 - 3*a**4 - a**2 - a**q - 10*a**2.
-3*a**2*(a - 2)**2
Let n(u) be the third derivative of u**8/112 + 3*u**7/70 + u**6/20 + 7*u**2. Find y such that n(y) = 0.
-2, -1, 0
Suppose 0 = -3*v + 2*v. Suppose -3*n + 4*r + 14 = 0, v = -5*n - 3*r + 4 - 0. Solve 0*q**3 - q**n + q**3 - 2*q**3 = 0.
-1, 0
Let c = -57 - -405/7. Find v, given that c*v**4 - 3/7*v**2 + 0*v - 3/7*v**3 + 0 = 0.
-1/2, 0, 1
Let t(f) = 3*f**2 + 3*f - 7. Let z be t(-5). Factor -2*g**2 - 15*g**3 - z*g**4 + 44*g**4 - 4*g**2.
-3*g**2*(g + 1)*(3*g + 2)
Suppose 0*h + 270 = 3*h. Let w be (-6)/(-10) - (-66)/h. Factor -w*j + 6*j**2 + 0.
2*j*(9*j - 2)/3
Let g(b) be the second derivative of 15*b**4/16 + 55*b**3/24 + 5*b**2/4 + 11*b. Suppose g(m) = 0. Calculate m.
-1, -2/9
Let o(u) be the third derivative of -1/105*u**6 + 0*u + 0*u**3 + 0 - 1/42*u**4 - 3/70*u**5 - u**2. Factor o(s).
-2*s*(s + 2)*(4*s + 1)/7
Let i(y) be the first derivative of y**7/140 - y**6/90 - y**5/60 - 2*y**3/3 + 5. Let j(h) be the third derivative of i(h). Suppose j(p) = 0. Calculate p.
-1/3, 0, 1
Suppose 4*y = 4*j - 20, 4*y - 4*j + 2*j + 14 = 0. Let g be (y/(-4))/((-25)/(-150)). Factor 7/6*c**2 + 0 + 1/3*c + 1/2*c**g.
c*(c + 2)*(3*c + 1)/6
Factor -4/3*k**2 + 2/3*k**4 + 4/3*k**3 - 2/3*k**5 - 2/3*k + 2/3.
-2*(k - 1)**3*(k + 1)**2/3
Let r(j) be the second derivative of j**6/120 + j**5/20 + j**3/6 - 4*j. Let c(t) be the second derivative of r(t). Factor c(k).
3*k*(k + 2)
Factor -4/5*r - 2/5*r**5 - 18/5*r**3 - 14/5*r**2 + 0 - 2*r**4.
-2*r*(r + 1)**3*(r + 2)/5
Let j = -46 - -139/3. Factor 0 + 1/3*s**2 + j*s.
s*(s + 1)/3
Suppose 13*z - 42 = 10. Solve 0 + 0*b**3 + 2/5*b**2 - 2/5*b**z - 1/5*b**5 + 1/5*b = 0 for b.
-1, 0, 1
Let y(u) be the second derivative of 0*u**5 - 1/105*u**6 + 1/42*u**3 - 1/294*u**7 + 1/42*u**4 - 6*u + 0 + 0*u**2. Suppose y(z) = 0. What is z?
-1, 0, 1
Suppose -l + 5*l = 20. Let r(a) be the second derivative of 1/14*a**l - 1/21*a**4 - a + 0 + 0*a**3 + 0*a**2. Factor r(b).
2*b**2*(5*b - 2)/7
Factor 15/7*m - 12/7 - 3/7*m**2.
-3*(m - 4)*(m - 1)/7
Let a be 64/70 - ((-6)/(-21))/(-1). Factor -3/5*j**2 - a - 9/5*j.
-3*(j + 1)*(j + 2)/5
Let q(w) be the first derivative of -w**6/15 + 6*w**5/25 - w**4/10 - 2*w**3/5 + 2*w**2/5 - 2. Let q(x) = 0. Calculate x.
-1, 0, 1, 2
Let u be (-5 - -2) + (-34)/(-6). What is o in -70/3*o**5 - u*o + 26*o**3 + 8/3*o**2 - 8/3*o**4 + 0 = 0?
-1, -2/5, 0, 2/7, 1
Suppose 2*o = 1 + 7. Suppose 3*i + 4*i**3 + 9 - 7*i**3 - 8 + i**2 - o*i**4 + 2*i**4 = 0. Calculate i.
-1, -1/2, 1
Suppose -2*r = -4*r + 4. Factor 3*n - 6*n**2 - 6*n - 2 - 3*n**3 + r.
-3*n*(n + 1)**2
Let j be (-19)/(-3) - (-7)/(-21). Let b be ((-9)/j - -2)/1. Solve 1/4 - b*x + 1/4*x**2 = 0 for x.
1
Let a be 1 + -1 - 36/(-9). Let 9*o**2 - 5*o + 10*o**a - 13*o**4 - o = 0. Calculate o.
-2, 0, 1
Let g(n) be the first derivative of 0*n**3 - 1/3*n**6 + 2 + 0*n**2 - 4/5*n**5 - 1/2*n**4 + 0*n. Factor g(m).
-2*m**3*(m + 1)**2
Let a(z) = z**2 - 8*z - 12. Let o(f) = -f**2 + 7*f + 11. Let n(l) = -3*a(l) - 4*o(l). Let y be n(6). Factor 12/5*k**y + 0*k + 9/5*k**3 + 0 + k**5 + 2/5*k**2.
k**2*(k + 1)**2*(5*k + 2)/5
Let n be 2 + (-7 - -4 - -2)/(-1). Let 0*a - 3/5*a**2 + 3/5*a**4 + 0*a**n + 0 = 0. What is a?
-1, 0, 1
Determine c so that 2/5*c**3 + 0*c**2 + 0*c**4 - 1/5*c - 1/5*c**5 + 0 = 0.
-1, 0, 1
Let d(m) be the first derivative of 5/2*m**3 + 3/2*m**2 + 5 + 0*m. Solve d(i) = 0.
-2/5, 0
Let g(q) be the first derivative of -q**4/22 + 2*q**3/11 - 3*q**2/11 + 2*q/11 + 14. Factor g(y).
-2*(y - 1)**3/11
Let p be (-56)/30 - (0 + -2). Let y(o) be the first derivative of -1/10*o**4 - 2/5*o + p*o**3 + 1/5*o**2 - 1. What is s in y(s) = 0?
-1, 1
Suppose -1 - 2 = -o. Determine n, given that -3*n + 8*n**3 + 5*n**o - 2 + 5*n**4 + 9*n**2 + 2*n = 0.
-1, 2/5
Suppose -3*j - j - 16 = 0. Let o = -3 - j. Determine r so that 1 + 0*r**2 + o + 2*r**2 - 3 - r**4 = 0.
-1, 1
Let v(b) be the second derivative of b**6/30 + 2*b**5/5 + b**4/2 - 4*b**3/3 - 7*b**2/2 - 30*b. Factor v(q).
(q - 1)*(q + 1)**2*(q + 7)
Let p(u) be the second derivative of 2*u**7/21 + 2*u**6/5 - 3*u**5/5 - 7*u**4/3 + 4*u**3 - 10*u. Solve p(k) = 0 for k.
-3, -2, 0, 1
Let h(a) = -a**4 - a**3 + a - 1. Let x(c) = -3*c**4 - 9*c**3 + 6*c**2 + 8*c - 12. Let k(y) = -20*h(y) + 5*x(y). Determine d so that k(d) = 0.
-1, 2
Let o(f) be the third derivative of -f**6/600 + f**5/300 + f**4/120 - f**3/30 - 18*f**2. Suppose o(h) = 0. What is h?
-1, 1
Let c = -42 + 45. Factor -f**2 + 1 + 1/2*f - 1/2*f**c.
-(f - 1)*(f + 1)*(f + 2)/2
Let d(w) be the second derivative of 5*w**7/42 + w**6/15 - w**5/2 - w**4/3 + 5*w**3/6 + w**2 - 5*w. Solve d(v) = 0.
-1, -2/5, 1
Let t = -12 + 14. Factor 3*u**2 - 6 - 3*u**t - u**2 - 3 + 6*u.
-(u - 3)**2
Let 0 + 1/2*f**2 - 1/3*f**3 + 0*f - 1/6*f**4 = 0. Calculate f.
-3, 0, 1
Suppose -5 = m - 6*m. Let t = m - -3. Determine z, given that t*z - 3*z + 0*z - z**3 = 0.
-1, 0, 1
Suppose d - 6 = 4. Let v = 15 - d. Solve -7*g**3 + 2*g**3 + g**3 + 4*g + v*g**4 - 14*g**2 + 9*g**4 = 0.
-1, 0, 2/7, 1
Let u(o) be the second derivative of o**4/84 - 12*o. Factor u(j).
j**2/7
Factor -4*h + 0*h + 0*h**3 + 3*h**3 + h**4.
h*(h - 1)*(h + 2)**2
Let k(a) be the second derivative of -a**6/1080 + a**5/360 + a**3/2 + a. Let p(t) be the second derivative of k(t). Let p(o) = 0. Calculate o.
0, 1
Let n(u) be the first derivative of -2*u**5/35 + 3*u**4/7 - 26*u**3/21 + 12*u**2/7 - 8*u/7 - 15. Find y such that n(y) = 0.
1, 2
Let b be (-114)/(-40) + (-2)/(-5). Let s be (18/12*(-40)/6)/(-2). Factor 1/2*a - b*a**4 + 0 - 9/4*a**3 - 5/4*a**s + 1/4*a**2.
-a*(a + 1)**3*(5*a - 2)/4
Let k(a) be the second derivative of -a**4/36 + a**3/18 + a**2/3 - 7*a. Factor k(m).
-(m - 2)*(m + 1)/3
Let r = 83/66 + -12/11. Let t(p) be the second derivative of 1/20*p**5 + 0 + 0*p**2 + 0*p**4 - r*p**3 + 4*p. Let t(j) = 0. What is j?
-1, 0, 1
Let f(j) be the first derivative of j**7/3360 - j**5/160 - j**4/48 + j**3 - 3. Let x(l) be the third derivative of f(l). Factor x(t).
(t - 2)*(t + 1)**2/4
Let i be 16/10 - 8/(-20). Let o(y) be the second derivative of -i*y + y**2 + 1/10*y**5 + 1/2*y**4 + 0 + y**3. Determine n so that o(n) = 0.
-1
Factor 0 + 8/15*u**2 - 8/15*u - 2/15*u**3.
-2*u*(u - 2)**2/15
Suppose 4*i = 3*b - 8, -5*i = -4*b - 0*i + 11. Let t(a) = -3*a**2 - a + 4. Let j(l) = l**2 - 1. Let m(d) = b*t(d) + 14*j(d). Factor m(c).
2*(c - 1)**2
Let g(h) = h**4 + h**3 - 1. Let j(w) = 3*w**4 + 2*w**3 - 4. Let l(i) = -i**3 - 3*i**2 - 3*i - 3. Let o be l(-2). Let c(z) = o*j(z) + 4*g(z). Factor c(k).
k**3*(k + 2)
Factor -l**2 + 1/2*l**3 + 0 + 0*l.
l**2*(l - 2)/2
Let t(m) be the first derivative of m**3/4 - 3*m**2/8 + 12. Factor t(o).
3*o*(o - 1)/4
Let b(z) be the second derivative of z**7/210 + z**6/150 - z**5/50 - z**4/30 + z**3/30 + z**2/10 + 8*z. Suppose b(c) = 0. What is c?
-1, 1
Let y(p) be the second derivative of -p**7/21 - 2*p**6/3 - 5*p**5/2 - 17*p. Solve y(o) = 0 for o.
-5, 0
Let i(h) be the third derivative of -h**5/60 - h**4/24 + 3*h**2. Factor i(p).
-p*(p + 1)
Suppose 12/5*r**3 - 3/5*r**4 - 12/5*r + 12/5 - 9/5*r**2 = 0. What is r?
-1, 1, 2
Let u(s) be the second derivative of -s**7/3360 - s**4/3 + 4*s. Let b(z) be the third derivative of u(z). Solve b(d) = 0.
0
Let c(k) = k**2. Let x(h) = -2*h**3 - 11*h**2 - 14*h - 6. Let b = 3 - 4. Let l(y) = b*x(y) - c(y). Factor l(q).
2*(q + 1)**2*(q + 3)
Factor -5*c**4 - 2*c - 2*c**3 + 3*c + 3*c**5 + 3 - 2*c - 4 + 6*c**2.
(c - 1)**3*(c + 1)*(3*c + 1)
Let k = 85 - 83. Let a(m) be the first derivative of -2/5*m**k + 1 - 2/5*m - 2/15*m**3. What is i in a(i) = 0?
-1
Let a be (-18)/8*96/(-18). Let v be (a/(-8))/(6/(-13)). Let -1/4*t**3 + 1/4 - v*t**2 + 1/4*t + 3*t**4 = 0. What is t?
-1, -1/4, 1/3, 1
Let s(u) = 5*u**2 - 4*u - 7. Let w(p) = 2*p**2 - 2*p - 3. Suppose 7 = -n + 2*n. Let j(g) = n*w(g) - 3*s(g). Find k, given that j(k) = 0.
-2, 0
Let p(m) be the second derivative of 0 - 2*m**3 - 1/6*m**4 - 9*m**2 + 2*m. Factor p(g).
-2*(g + 3)**2
Let o(q) be th