 = 2*o**3 - 6*o**2. Let y be k(3). What is j in 2/5*j**5 + 0*j**3 - 6/5*j**4 + 8/5*j**2 + 0*j + y = 0?
-1, 0, 2
Let a be ((-2)/(-35))/((-3)/144). Let m = a + 22/7. Determine g so that 0*g + 0*g**3 - m*g**4 + 2/5*g**2 + 0 = 0.
-1, 0, 1
Let d(o) be the second derivative of -1/10*o**6 - 3/20*o**5 + 1/2*o**3 + 0 + 3*o + 1/4*o**4 + 0*o**2. Factor d(g).
-3*g*(g - 1)*(g + 1)**2
Let k be (-8)/(-20) - 115/(-25). Factor 1/3*u**k - 2/3*u**3 - 1/3*u**4 - 1/3 + 2/3*u**2 + 1/3*u.
(u - 1)**3*(u + 1)**2/3
Let m(q) be the third derivative of -q**5/15 - 5*q**4/6 - 8*q**3/3 + 37*q**2. Factor m(j).
-4*(j + 1)*(j + 4)
Let l(j) be the third derivative of j**5/36 - 5*j**4/36 + 5*j**3/18 + 4*j**2. Solve l(y) = 0 for y.
1
Suppose 0 = -s + 2. Let o(x) be the second derivative of 1/3*x**3 - 2*x**s + 1/6*x**4 - x + 0. Let o(b) = 0. Calculate b.
-2, 1
Suppose -4*o + 5 = -3. Suppose 7*b**5 + o*b**4 + b**4 - 2*b**3 - 10*b**5 + 2*b**4 = 0. What is b?
0, 2/3, 1
Let r(z) be the first derivative of -z**5/60 + z**3/6 + z**2/3 + 5*z + 7. Let l(n) be the first derivative of r(n). Let l(v) = 0. Calculate v.
-1, 2
Let b(i) be the third derivative of -i**5/60 + i**4/4 - i**3/3 - 2*i**2. Let c be b(5). Find j such that 4*j**2 - 14*j**2 + 3*j**c + 8*j - 2 + j**3 + 0 = 0.
1/2, 1
Suppose -4*m = -3*q - 6 - 10, -2*m = -q - 10. Let f(y) = -y**3 + 6*y**2 + 8*y - 6. Let u be f(m). Suppose -2*c + 2*c**2 + 0*c**2 - u + 1 = 0. Calculate c.
0, 1
Let y(t) be the second derivative of 1/3*t**3 - 1/10*t**5 + t + 0 - 1/3*t**4 + 2*t**2. Determine c so that y(c) = 0.
-2, -1, 1
Let b(x) = 306*x**5 + 740*x**4 + 642*x**3 + 246*x**2 + 26*x. Let j(o) = -o**5 + o**3 - o**2 + o. Let u(d) = b(d) + 6*j(d). Solve u(y) = 0 for y.
-1, -2/3, -2/5, 0
Let v(d) = -45*d**2 + 34*d - 1. Let c(r) = r + 1. Let i(q) = 4*c(q) - v(q). Let i(n) = 0. What is n?
1/3
Let k(p) be the second derivative of 8*p - 1/48*p**4 - 1/240*p**6 + 3/160*p**5 + 0*p**3 + 0 + 0*p**2. Factor k(t).
-t**2*(t - 2)*(t - 1)/8
Suppose 5*u + 0 = 5. Suppose -4*z = h - u + 3, 3*z = h - 5. Factor 4 + h*r + 2*r - 2*r - r**2 - r**2.
-2*(r - 2)*(r + 1)
Let -i**3 + 7*i + 0*i**3 - 4*i + 2 = 0. What is i?
-1, 2
Let w(i) be the first derivative of 2/7*i**4 - 4/21*i**3 + 0*i - 4/35*i**5 + 0*i**2 + 6. Determine t, given that w(t) = 0.
0, 1
Solve 64/13*o + 16/13*o**3 + 32/13 + 2/13*o**4 + 48/13*o**2 = 0 for o.
-2
Suppose -4*s**3 + 5*s**3 - 7*s - 72 + 67*s - 14*s**2 = 0. What is s?
2, 6
Let k be (-16)/(-10) - (-6)/15. Let m = 1/6 + 5/42. Factor -m*s**k + 0*s + 2/7.
-2*(s - 1)*(s + 1)/7
Factor 0 - 6/7*t**3 + 6/7*t**4 + 2/7*t**2 + 0*t - 2/7*t**5.
-2*t**2*(t - 1)**3/7
Let l(p) be the first derivative of p**7/28 + p**6/15 - p**5/40 - p**4/12 + 3*p - 3. Let s(v) be the first derivative of l(v). Factor s(u).
u**2*(u + 1)**2*(3*u - 2)/2
Let j be -1 + 3 + 2 - 1148/288. Let n(r) be the third derivative of 0 + 3*r**2 + 1/36*r**3 + 1/360*r**5 + 0*r + j*r**4. Factor n(d).
(d + 1)**2/6
Let c be 0 + ((-192)/21 - 3). Let f = c + 13. Factor 2/7*m**2 + 4/7 + f*m.
2*(m + 1)*(m + 2)/7
Let c(z) be the first derivative of -6*z**6 + 132*z**5/5 + 2*z**4 - 208*z**3/3 - 48*z**2 + 17. Find j, given that c(j) = 0.
-2/3, 0, 2, 3
Suppose 0*p - 3*p - 17 = 2*g, 4*g - 4*p = -4. Let y = g - -6. Let m(f) = f**2 - f. Let q(z) = -2*z**2 + 3*z. Let o(t) = y*q(t) + 5*m(t). Solve o(w) = 0.
-1, 0
Let k(q) = q**2 + q. Let h be k(-2). Let f be (2 - (-36)/(-20))*h. Factor -f*p**2 + 0 + 2/5*p.
-2*p*(p - 1)/5
Let i = 461 - 461. Find c such that 0*c - 2/7*c**5 + 0 + 2/7*c**4 + 0*c**3 + i*c**2 = 0.
0, 1
Let a = -333 + 335. Factor 2/15*i**3 + 0*i**a - 2/15*i + 0.
2*i*(i - 1)*(i + 1)/15
Let n(l) be the second derivative of l**7/189 + 4*l**6/135 + l**5/18 + l**4/27 + l. Determine d, given that n(d) = 0.
-2, -1, 0
Let d = -7 + 9. Let v be 21/9 + 0 - 2. Factor -1/3 + 1/3*i**3 + 1/3*i**d - v*i.
(i - 1)*(i + 1)**2/3
Let q(m) be the second derivative of -m**5/300 + m**4/120 - 4*m**2 + 2*m. Let j(x) be the first derivative of q(x). Factor j(y).
-y*(y - 1)/5
Let x be (-8 - -3 - -3) + (-5)/(-2). Factor -1/6*w - 1/2*w**3 + 0 + x*w**2 + 1/6*w**4.
w*(w - 1)**3/6
Factor -12*z**4 + 20*z**4 + 15*z**3 + 5*z**5 + 7*z**4 + 5*z**2.
5*z**2*(z + 1)**3
Let j be (-6)/(-24) - ((-1)/(-12) + 0). Let x(r) be the first derivative of -1/9*r**3 + j*r**2 + 0*r - 1/12*r**4 + 1/15*r**5 + 1. Solve x(v) = 0 for v.
-1, 0, 1
Let x(r) be the third derivative of 0*r**4 + 0*r - 1/60*r**6 + 1/75*r**5 + 0 - 1/75*r**7 - 3*r**2 + 0*r**3. Factor x(w).
-2*w**2*(w + 1)*(7*w - 2)/5
Let y = -6 - -16. Suppose 2*f + 3*f - y = 0. Let -2*h**2 + 0 + 1 + h**f = 0. Calculate h.
-1, 1
Factor b - b**2 + b + 0 - 1 + 0*b.
-(b - 1)**2
Let o = 3483 - 1044899/300. Let w(t) be the third derivative of -o*t**6 - 1/30*t**5 - 2/15*t**4 + 0*t - 3*t**2 - 4/15*t**3 + 0. Factor w(u).
-2*(u + 1)*(u + 2)**2/5
Let t(q) be the second derivative of q**7/84 + q**6/30 - 3*q**5/40 - q**4/3 - q**3/3 + 9*q. What is i in t(i) = 0?
-2, -1, 0, 2
Let c(k) = 6*k - 1. Let x be c(-1). Let r be x/(-6) + 1/(-2). Factor r*a**3 - 1/3*a**5 + 0*a**2 - 1/3*a + 0 + 0*a**4.
-a*(a - 1)**2*(a + 1)**2/3
Suppose m = 2*a, -2*a + 2*m + 4 - 6 = 0. Suppose -2*f - 3*i + 13 = 3*f, -5*i + a = -2*f. Find d, given that 0 - 1/2*d**3 + 0*d + 3/2*d**5 - d**4 + 0*d**f = 0.
-1/3, 0, 1
Let k be ((-6)/(-2))/(2/2). Let h be (6/4)/(k/4). Find z, given that -2*z + 3*z**h + 1/3 = 0.
1/3
Solve 3/5 - 3/5*r**3 - 3/5*r**2 + 3/5*r = 0 for r.
-1, 1
Let p(r) be the second derivative of 0 + r + 1/24*r**4 + 0*r**3 - 1/2*r**2 - 1/60*r**5. Let y(c) be the first derivative of p(c). Factor y(o).
-o*(o - 1)
Let f(y) be the first derivative of 5*y**3/3 - 10*y**2 + 24. What is t in f(t) = 0?
0, 4
Let l be (1/4)/(4/24*3). Factor 0 + l*k**4 + 0*k**3 - 1/2*k**2 + 0*k.
k**2*(k - 1)*(k + 1)/2
Suppose -v + 2*v - 5 = 0. Let 2*x**v - x - 3*x + 0*x + 10*x**2 - 10*x**3 - 2*x**4 + 4*x**3 = 0. What is x?
-2, 0, 1
Suppose -3*j - 2*q - 4 = 7, 0 = -3*q - 3. Let x be 0 - ((-7)/j)/(-7). Factor -16/3*c**2 + 34/3*c**3 + 7/3*c**5 + 2/3 - x*c - 26/3*c**4.
(c - 1)**4*(7*c + 2)/3
Let g(u) be the second derivative of 0 - 1/8*u**4 + 0*u**2 - 1/2*u**3 + 2*u. Suppose g(c) = 0. Calculate c.
-2, 0
Let a(l) be the first derivative of 1/5*l**5 + 0*l - 8 + l**2 - 1/3*l**3 - 1/2*l**4. Factor a(r).
r*(r - 2)*(r - 1)*(r + 1)
Let c(o) be the second derivative of 2*o**6/15 - o**5 + 2*o**4 + 8*o**3/3 - 16*o**2 - 7*o. What is n in c(n) = 0?
-1, 2
Let q(t) be the third derivative of -t**6/160 + t**5/40 - t**4/32 + 18*t**2. Factor q(x).
-3*x*(x - 1)**2/4
Let m(k) be the second derivative of -7*k + 0 + 0*k**2 + 7/30*k**6 - 1/10*k**5 + 0*k**4 + 0*k**3 - 5/42*k**7. Factor m(p).
-p**3*(p - 1)*(5*p - 2)
Let a(f) be the first derivative of -2*f**4/15 - 2*f**3/45 + 14. Factor a(y).
-2*y**2*(4*y + 1)/15
Let f = 145 + -142. Factor -10/3*z - 2*z**2 - 4/3 + 2/3*z**4 + 2/3*z**f.
2*(z - 2)*(z + 1)**3/3
Let y = 106/3 + -35. What is t in 1/3*t**3 + 0 - 1/3*t**2 + y*t**4 - 1/3*t = 0?
-1, 0, 1
Let s = 13 + -8. Let t(u) = 5*u - 2*u**2 + u**2 - s*u. Let f(o) = 8*o**2 - 4*o. Let v(g) = -f(g) + 6*t(g). Factor v(a).
-2*a*(7*a - 2)
Let -1 - 9*u**4 + 8*u**4 + 1 - 2*u**3 - u**2 = 0. Calculate u.
-1, 0
Let s be (1/18)/(5 - 4 - -1). Let h(z) be the third derivative of -2/9*z**3 + z**2 + s*z**4 + 0*z + 1/90*z**5 + 0. Factor h(o).
2*(o - 1)*(o + 2)/3
Let m be 3 - 6 - (-2 + (-36)/16). Factor a**4 + m*a**2 + 0 - 1/4*a - 2*a**3.
a*(a - 1)*(2*a - 1)**2/4
Let f(y) be the first derivative of y**6/6 - 3*y**5/5 + y**4/2 + 2*y**3/3 - 3*y**2/2 + y + 7. Factor f(x).
(x - 1)**4*(x + 1)
Let d(n) = -5*n**2 + 12*n + 30. Let m(v) = -v**2 - 1. Let y(z) = 5*d(z) - 30*m(z). Factor y(g).
5*(g + 6)**2
Let n(c) = -c**3 + 6*c**2 - c + 8. Let y be n(6). Factor 0 + 4/3*p**4 + 4/3*p**y - 2*p**3 - 1/3*p - 1/3*p**5.
-p*(p - 1)**4/3
Let m be (-20)/(-8) - (-11)/22. Factor w**2 - 1/2 + w**m - 1/2*w**4 - 1/2*w - 1/2*w**5.
-(w - 1)**2*(w + 1)**3/2
Let p(h) be the second derivative of -h**6/135 + h**5/18 - 4*h**4/27 + 4*h**3/27 + 2*h. Factor p(m).
-2*m*(m - 2)**2*(m - 1)/9
Let q(y) = y. Let i(j) be the third derivative of -j**5/60 + 7*j**4/24 - 2*j**3/3 - j**2. Let d(x) = -i(x) + 3*q(x). Factor d(p).
(p - 2)**2
Let y = 6 - 2. Let t(r) be the third derivative of 0*r**3 - 1/80*r**6 + 0*r + 0*r**5 + 2*r**2 - 1/210*r**7 + 1/48*r**y + 0. Find v, given th