 b be (-3)/(-1 + (-2)/4). Let s(z) = 7*z - 1. Let w be s(1). Factor 0*c - 12*c**2 + 3*c**b - 3 + w*c**3 - 3*c**3 + 9*c.
3*(c - 1)**3
Let -1/2*j**3 + 0*j + 0 - j**2 = 0. Calculate j.
-2, 0
Let m(u) = -10*u. Let d be m(0). Solve 0*b**3 + 0 + 1/3*b**4 - 1/3*b**5 + d*b**2 + 0*b = 0 for b.
0, 1
Let u = 496/165 + 18/55. Let z be (-24)/(-9) - (-2)/(-3). What is l in u*l**z + 14/3*l + 4/3 = 0?
-1, -2/5
Let n(l) be the second derivative of -1/2*l**2 - 1/20*l**5 - 1/48*l**4 + 3*l + 0 + 1/12*l**3. Let g(s) be the first derivative of n(s). Let g(k) = 0. What is k?
-1/2, 1/3
Let h(a) = -a**2 + 8*a + 9. Let j be h(9). Let k(t) be the first derivative of -1/15*t**3 - 1/5*t**2 - 4 + j*t. Factor k(r).
-r*(r + 2)/5
Let l(v) = -8*v**3 - 6*v**2 - 18*v - 14. Let k(g) = g**3 - g**2 + 1. Let b(f) = 6*k(f) + l(f). Determine w so that b(w) = 0.
-4, -1
Suppose -1/7*u**4 + 0*u - 1/7 + 2/7*u**2 + 0*u**3 = 0. What is u?
-1, 1
Suppose -18 = -g - 8. Suppose 4*z - 10 = g. Factor -z*x + 8*x**3 - 1 - x - 1.
2*(x - 1)*(2*x + 1)**2
Let f(a) be the first derivative of a**7/63 - a**5/30 + 2*a + 1. Let w(d) be the first derivative of f(d). What is l in w(l) = 0?
-1, 0, 1
Let m(h) = -7*h**5 + 12*h**4 - 4*h**3 - 6*h**2 + 11*h - 12. Let p(o) = -o**5 + o**4 + o**3 - o**2 - 1. Let f(g) = -5*m(g) + 30*p(g). Solve f(t) = 0 for t.
-1, 1, 2, 3
Let y(x) be the second derivative of 2*x**6/15 + 2*x**5/5 - x**4/3 - 4*x**3/3 + 4*x. Factor y(j).
4*j*(j - 1)*(j + 1)*(j + 2)
Let i(y) be the second derivative of -3*y + 7/18*y**4 - 16/9*y**3 + 0 + 4/3*y**2. Factor i(v).
2*(v - 2)*(7*v - 2)/3
Let z(l) be the second derivative of l**5/80 + l**4/16 + l**3/12 + 13*l. Factor z(t).
t*(t + 1)*(t + 2)/4
Let c be (-6)/(-84)*(8 + 0). Suppose 2*w - 5*w = 2*t - 6, 4*t = -5*w + 12. Factor -4/7*k**3 + 2/7 - 2/7*k**4 + c*k + w*k**2.
-2*(k - 1)*(k + 1)**3/7
Let v = 26 - 22. Let i(o) be the first derivative of 0*o**2 - 1/3*o**6 + 0*o**v - 1 + 0*o - 2/5*o**5 + 0*o**3. Solve i(a) = 0.
-1, 0
Let f(w) be the second derivative of -w**5/70 + w**4/14 - w**3/7 + w**2/7 + 2*w. Determine v so that f(v) = 0.
1
Let f(y) be the third derivative of -4/5*y**4 - 2/25*y**5 - 1/300*y**6 + 0*y + 0 + 7*y**2 - 64/15*y**3. Factor f(g).
-2*(g + 4)**3/5
Let s(p) be the second derivative of p**7/630 + p**6/180 - p**4/36 - p**3/18 - p**2 + p. Let v(d) be the first derivative of s(d). Factor v(n).
(n - 1)*(n + 1)**3/3
Let m be (-11 - -7)/(-1 + -1). Suppose 8 = 5*f + d, 0*d = -f - m*d + 7. Suppose 7 + 12*b + 0*b + f + 6*b**2 + b**3 = 0. What is b?
-2
Let n = 102 - 100. Factor -2/3 + t - 1/3*t**n.
-(t - 2)*(t - 1)/3
Let b(i) be the third derivative of i**7/3780 - i**6/1080 - i**5/90 - i**4/6 + 2*i**2. Let c(d) be the second derivative of b(d). Factor c(q).
2*(q - 2)*(q + 1)/3
Let o be (2 + -1)/((-5)/(-10)). Factor 3*f**2 + f**o - f - 2 - f**3 + 2*f**4 + 3*f**3 - 4*f**4 - f**5.
-(f - 1)**2*(f + 1)**2*(f + 2)
Let t(n) be the third derivative of n**6/540 - n**5/135 + n**4/108 + 15*n**2. Solve t(x) = 0 for x.
0, 1
Let y(k) = 4*k**3 + 6*k - 3 + k**3 + 6*k**2 + 9. Let s(n) = -4*n**3 - 5*n**2 - 5*n - 5. Let q(o) = 6*s(o) + 5*y(o). Factor q(x).
x**3
Factor 6*p**2 + 2 - 14*p**2 - 1 + 7*p**2.
-(p - 1)*(p + 1)
Suppose -6*o + 6 = -3*o. Determine n so that -13/3*n**o - 1/3*n**4 - 4/3 - 4*n - 2*n**3 = 0.
-2, -1
Let a be 117/27*4/26. Suppose -a - 2/9*o**2 - 8/9*o = 0. Calculate o.
-3, -1
Let x(i) = -i - 1 + 2 - 2 - 2. Let t be x(-8). Suppose 2*j**4 - 2*j + j**4 - 3*j**3 + 4*j**3 - 3*j**2 + j**t = 0. Calculate j.
-2, -1, 0, 1
Suppose -10*z = -13*z. Factor -5*j**3 - 3*j**5 + z*j**2 - 5*j**4 + 2*j**4 + 8*j**3 + 3*j**2.
-3*j**2*(j - 1)*(j + 1)**2
Let a = 347 + -343. Factor c**a + 0 + 0*c - 5/4*c**3 + 1/4*c**2.
c**2*(c - 1)*(4*c - 1)/4
Let m(d) be the first derivative of -d**6/2 - 6*d**5/5 + 2*d**3 + 3*d**2/2 + 11. Let m(n) = 0. What is n?
-1, 0, 1
Let k be (-7 - -4)*((-8)/30)/1. Let w(f) be the second derivative of -2*f + f**2 + 0 - k*f**5 - f**4 + f**3. Determine a, given that w(a) = 0.
-1, -1/4, 1/2
Let a(p) = -20*p**2 + 12. Let r(o) = -o - 2*o + 4*o + 1 + o**2 + 0*o. Let j(f) = a(f) + 24*r(f). Factor j(v).
4*(v + 3)**2
Suppose -64*f + 39 = -51*f. Determine i, given that -3/4*i**2 + 3/4*i**f + 1/4*i - 1/4*i**4 + 0 = 0.
0, 1
Suppose -10*u**5 - 25/2*u**4 + 55/2*u**3 - 35/2*u + 35/2*u**2 - 5 = 0. Calculate u.
-2, -1, -1/4, 1
Let o(m) be the third derivative of m**6/360 + m**5/40 + m**4/12 + m**3/6 - 3*m**2. Let q(l) be the first derivative of o(l). Factor q(c).
(c + 1)*(c + 2)
Suppose -8/3*a + 0 - 2/3*a**4 + 0*a**2 + 2*a**3 = 0. Calculate a.
-1, 0, 2
Let j(h) = -h**2 + 8*h + 12. Let p be j(9). Let m be -2 + p - (-10)/(-14). Let -6/7*s + 8/7*s**3 + 0*s**4 - 4/7 + 4/7*s**2 - m*s**5 = 0. What is s?
-1, 1, 2
Let v be (2 - -2)*(-1)/(-6). Solve v*z**2 + 2/3*z**3 - 2/3*z**4 + 0 - 2/3*z = 0 for z.
-1, 0, 1
Let k(d) be the third derivative of d**8/70560 + d**7/17640 + d**5/20 + 4*d**2. Let o(b) be the third derivative of k(b). Factor o(h).
2*h*(h + 1)/7
Factor -2/7*k**2 + 2/7*k**3 - 4/7*k + 0.
2*k*(k - 2)*(k + 1)/7
Let l = -57 - -7. Let v be ((-35)/l)/7*2. Factor -1/5*w**2 + 0 - 2/5*w + v*w**3.
w*(w - 2)*(w + 1)/5
Let h = 628/1545 + -2/309. Factor 8/5 - 8/5*s + h*s**2.
2*(s - 2)**2/5
Suppose 7*l + 3*l**2 + 5*l**3 + 1 - 12*l**2 - 3 - l**4 = 0. What is l?
1, 2
Let w be 2/((3 + -4)/(-1)). Determine s, given that 4*s**2 + 3*s**2 + s**w - 3*s**4 - 5*s**2 = 0.
-1, 0, 1
Factor 2/3*g**2 + 4/3*g**3 + 0 - 2/3*g**4 - 4/3*g.
-2*g*(g - 2)*(g - 1)*(g + 1)/3
Let i(x) be the first derivative of -8*x**5/5 - x**4 + 20*x**3/3 - 4*x**2 + 9. Factor i(m).
-4*m*(m - 1)*(m + 2)*(2*m - 1)
Factor 9*x + 5*x + 6 + 4*x**2 + 2 - 2*x**3.
-2*(x - 4)*(x + 1)**2
Let r(j) be the third derivative of -5*j**8/336 - j**7/21 + j**5/6 + 5*j**4/24 - 16*j**2. Factor r(c).
-5*c*(c - 1)*(c + 1)**3
Let 0 - 1/3*g**2 - 1/3*g**3 + 2/3*g = 0. Calculate g.
-2, 0, 1
Let n(t) = t**3 + 11*t**2 - 13*t - 10. Let b(l) = -4*l + 20. Let o be b(8). Let f be n(o). Factor -2/3*p**3 + 0*p**f + 0 + 2/3*p.
-2*p*(p - 1)*(p + 1)/3
Let q = -27 - -20. Let p be (-3 - q) + (0 - 0). Factor 0*o + 1/3*o**5 + 0*o**2 + 2/3*o**p + 0 + 1/3*o**3.
o**3*(o + 1)**2/3
Let -11 + 4 + 25*m**2 - 40*m - 13 = 0. What is m?
-2/5, 2
Let o(c) = c**3 - c**2 + 1. Let a(s) = -3*s**3 - s - 2. Let z(h) = -3*a(h) - 6*o(h). Factor z(x).
3*x*(x + 1)**2
Let y(k) be the first derivative of -k**5/5 + k**3/3 - 6. Factor y(b).
-b**2*(b - 1)*(b + 1)
Let t(b) = -1405*b**2 + 1485*b - 80. Let m(r) = 52*r**2 - 55*r + 3. Let a(j) = 55*m(j) + 2*t(j). Find f, given that a(f) = 0.
1/10, 1
Let q(w) be the third derivative of w**8/168 - 2*w**7/105 + w**6/60 + w**2. Factor q(y).
2*y**3*(y - 1)**2
Factor -8/7*t - 12/7 + 4/7*t**2.
4*(t - 3)*(t + 1)/7
Let n(i) be the third derivative of -i**7/315 - i**6/45 - i**5/18 - i**4/18 + 11*i**2. Determine p so that n(p) = 0.
-2, -1, 0
Let 3/7*u**2 + 3/7 - 6/7*u = 0. Calculate u.
1
Suppose 4*m - 4*v - 5 + 1 = 0, -5*v - 5 = 4*m. Let y(r) be the third derivative of m*r**4 + 0 + 0*r**3 + 4*r**2 + 0*r - 1/90*r**5. What is l in y(l) = 0?
0
Let h(w) = 2*w**2 - 6*w - 16. Let v be h(5). Factor 0 + 8/7*j**2 + 2/7*j**v + 8/7*j**3 + 0*j.
2*j**2*(j + 2)**2/7
Let t be 0 + (18/(-8))/(-9). Let j be 6/((-1)/(4/(-32))). Factor -t*l**4 - 1 - 1/2*l**3 + j*l**2 + l.
-(l - 1)**2*(l + 2)**2/4
Let o(u) = -u**3 - 2*u**2 + 1. Let k be o(-1). Suppose 3*y - 5*a = -11 - 5, k = -3*y - a + 14. Factor -4*d**2 + 6*d**3 - d - 4*d**y + 3*d.
2*d*(d - 1)**2
Let c(h) be the second derivative of -h**6/75 + h**4/30 - 10*h. Suppose c(k) = 0. Calculate k.
-1, 0, 1
Let x(l) be the second derivative of -121*l**5/100 + 11*l**4/4 - 8*l**3/5 + 2*l**2/5 - 11*l. Let x(m) = 0. What is m?
2/11, 1
Let c = -49/44 - -26/11. Factor c*k + 3/4*k**3 + 1/4 + 7/4*k**2.
(k + 1)**2*(3*k + 1)/4
Let z(t) = -t + 9. Let b be z(6). Let i(h) be the second derivative of 1/2*h**2 - 3*h - 1/6*h**b + 1/48*h**4 + 0. Determine r so that i(r) = 0.
2
Let h(a) be the first derivative of a**3 + 3/2*a + 27/8*a**2 + 4. Factor h(q).
3*(q + 2)*(4*q + 1)/4
Let s = 6 + -4. Let c = 2 + s. Factor -u**3 + u**c + 0*u - 3*u + 4*u - u**2.
u*(u - 1)**2*(u + 1)
Factor 2/3*d + 5/2*d**3 - 13/6*d**2 - 7/6*d**4 + 0 + 1/6*d**5.
d*(d - 4)*(d - 1)**3/6
Let x(a) be the third derivative of -1/24*a**4 - 7*a**2 + 0*a - 1/3*a**3 + 0 + 1/60*a**5. L