2.
2*w*(w + 2)/3
Let a(n) = -n - 15. Let c be a(-18). Let l be 4/3*9/6. Factor 0*x**2 - x**l + x**c - 5*x + 5*x.
x**2*(x - 1)
Let n = 702/5 - 140. Solve 0*p**3 + 4/5*p + 6/5*p**2 + 0 - n*p**4 = 0.
-1, 0, 2
Let q(u) be the second derivative of 1/3*u**3 - 1/3*u**7 - 6*u - 8/3*u**4 - 26/15*u**6 - 17/5*u**5 + 2*u**2 + 0. Let q(j) = 0. What is j?
-1, 2/7
Let y(r) be the second derivative of 2*r**5/5 + 5*r**4/6 + r**3/3 - 6*r. Factor y(b).
2*b*(b + 1)*(4*b + 1)
Let j(t) be the third derivative of t**8/504 - t**7/315 - t**6/180 + t**5/90 - 2*t**2. Let j(s) = 0. What is s?
-1, 0, 1
Suppose 0 = -3*n + 5*n + 12. Let m be 2 + n + 2 + 2. Factor 0 + 0*a + 1/4*a**3 + m*a**2.
a**3/4
Let a = -4 - -8. Let h be (1/(-2))/(4/(-4)). Factor 0 + l**a - 1/2*l - l**2 + h*l**5 + 0*l**3.
l*(l - 1)*(l + 1)**3/2
Let n(i) = i**3 + 6*i**2 - 6*i + 2. Let t(m) = -2*m**3 - 6*m**2 + 6*m - 2. Suppose -4*x + k = -k + 10, 2*x - 7 = 5*k. Let c(s) = x*n(s) - 3*t(s). Factor c(l).
2*(l - 1)**3
Let n(l) be the third derivative of l**8/6720 - l**7/560 + l**6/120 - l**5/30 - 2*l**2. Let w(a) be the third derivative of n(a). Suppose w(h) = 0. What is h?
1, 2
Suppose 0 = -2*n - 5*p + 84, 4*p - 39 = 2*n - 3*n. Let z = 143/3 - n. Factor 1/3*o**3 + 1/3*o**2 - z*o + 0.
o*(o - 1)*(o + 2)/3
Let i be (15/(-9) + 3)/4. Let k(t) be the first derivative of 1/6*t**2 - 1/12*t**4 - 2 + 1/9*t**3 - i*t. Factor k(o).
-(o - 1)**2*(o + 1)/3
Let q(u) be the first derivative of -u**5/10 + 5*u**4/8 - 3*u**3/2 + 7*u**2/4 - u + 8. Let q(n) = 0. Calculate n.
1, 2
Let v be (-10)/6 + 3/(-9). Let o(m) = -m**2 + m. Let c(f) = -8*f**2 + 6*f. Let x(q) = v*c(q) + 10*o(q). Factor x(s).
2*s*(3*s - 1)
Let p(j) be the second derivative of -1/18*j**4 - 1/30*j**5 + 1/9*j**6 + 0*j**2 + 0*j**3 - 1/21*j**7 + 0 + 10*j. Factor p(h).
-2*h**2*(h - 1)**2*(3*h + 1)/3
Let a be 7/49 + (-2)/(-14). Factor 2/7 + a*l**4 + 0*l**3 + 0*l - 4/7*l**2.
2*(l - 1)**2*(l + 1)**2/7
Let f(l) = l**2 + 5*l - 8. Let u(i) = -2*i**2 - 4*i + 8. Let s(q) = -4*f(q) - 3*u(q). Factor s(j).
2*(j - 2)**2
Let x be (-133)/504 + 2/6. Let s(h) be the third derivative of 0*h - 1/60*h**5 + 2/315*h**7 + 3*h**2 - 1/18*h**3 + 0 + 1/72*h**6 - x*h**4. Factor s(c).
(c - 1)*(c + 1)**2*(4*c + 1)/3
Factor 2/7*m**2 + 2/7*m - 2/7*m**3 - 2/7.
-2*(m - 1)**2*(m + 1)/7
Let o(h) be the third derivative of h**7/490 - h**6/280 - 3*h**5/70 + h**4/14 + 4*h**3/7 - 13*h**2. Solve o(s) = 0 for s.
-2, -1, 2
Factor -4/3 + 2/3*w + 2/3*w**2.
2*(w - 1)*(w + 2)/3
Let g(l) be the third derivative of 0*l**3 + 1/480*l**6 + 2*l**2 - 1/840*l**7 + 0*l + 0 + 0*l**4 + 0*l**5. What is x in g(x) = 0?
0, 1
Let w(g) = 3*g**2 - 14*g + 12. Let q(c) = -3*c**2 + 15*c - 12. Let s(y) = 2*q(y) + 3*w(y). Suppose s(f) = 0. What is f?
2
Let j = -158/3 - -53. What is b in -j*b + 1/3*b**3 + 0 - 1/3*b**2 + 1/3*b**4 = 0?
-1, 0, 1
Factor -10 + 0*y**2 + y + 0*y**2 - y**2 - y**3 + 11*y**2.
-(y - 10)*(y - 1)*(y + 1)
Let c(t) be the second derivative of t**4/12 + 2*t**3/3 + 2*t**2 - 5*t. Factor c(n).
(n + 2)**2
Suppose 5*x = -28 + 68. Let k = -6 + x. Factor p - 3*p - 1 + p**k - 2*p**2.
-(p + 1)**2
Let h = -54 + 82. Suppose 54 - 54 + 36*s**3 + h*s**4 + 8*s**2 = 0. Calculate s.
-1, -2/7, 0
Let 4*x**4 - 3 + 2*x + 11 - 4*x**3 - 12*x**2 + 5*x - 3*x = 0. What is x?
-1, 1, 2
Factor -33*h**3 + 10*h**4 + 17*h**4 - 8*h**2 + 13*h**3 + h**4.
4*h**2*(h - 1)*(7*h + 2)
Suppose 0 = 4*v + 2 - 18. Suppose -1 = v*n + 3*s, -4*n - 2*s + 3*s + 11 = 0. Suppose -3/2*h**5 - 11*h**3 + 1/2 + 13/2*h**4 - 7/2*h + 9*h**n = 0. Calculate h.
1/3, 1
Factor 5*f**4 - 4*f**4 - 3*f**4 + 4*f**4.
2*f**4
Let u(f) = 8*f**4 - 25*f**3 - 48*f**2 + 49*f + 81. Let l(x) = x**4 - 3*x**3 - 6*x**2 + 6*x + 10. Let z(p) = -51*l(p) + 6*u(p). Factor z(c).
-3*(c - 2)**2*(c + 1)*(c + 2)
Let i(n) = -n**3 + 4*n**2 - 3*n. Let x be i(2). Factor 18*d**4 + d + 24*d**x + 3*d**5 - 5*d + 4*d + 36*d**3.
3*d**2*(d + 2)**3
Factor 82*l**3 - 3*l**2 + l + 2*l**2 + 16*l**4 - 98*l**3.
l*(l - 1)*(4*l - 1)*(4*l + 1)
Let g(c) be the second derivative of c**5/60 + c**4/18 - c**3/18 - c**2/3 + 7*c. Factor g(w).
(w - 1)*(w + 1)*(w + 2)/3
Let g = -14 + 16. Let t(y) be the third derivative of 1/210*y**7 + 1/336*y**8 - 1/60*y**5 + 0*y - 1/120*y**6 + 0*y**3 - g*y**2 + 0*y**4 + 0. Factor t(d).
d**2*(d - 1)*(d + 1)**2
Let j(o) be the third derivative of -o**6/96 + o**5/24 - 5*o**4/96 - 25*o**2. Let j(c) = 0. Calculate c.
0, 1
Let k be (-1)/(14/52) - (-2 + -2). Let -8/7*h - k*h**2 - 8/7 = 0. Calculate h.
-2
Let z(c) be the second derivative of 1/30*c**5 + 0*c**4 - c**2 - 1/60*c**6 + 0*c**3 + 0 - 2*c. Let s(l) be the first derivative of z(l). Factor s(o).
-2*o**2*(o - 1)
Let u(p) = -p**3 + 11*p**2 - 12*p + 22. Let n be u(10). Let 0*g - 8/3 + 2/3*g**3 + 2*g**n = 0. Calculate g.
-2, 1
What is b in -23*b**3 - 15*b - 22*b**3 + 190*b**2 + 10*b - 35*b = 0?
0, 2/9, 4
Let t(g) be the second derivative of -g**8/8960 + g**7/672 - g**6/120 + g**5/40 - 7*g**4/12 - 3*g. Let p(j) be the third derivative of t(j). Factor p(n).
-3*(n - 2)**2*(n - 1)/4
Let f = 34 - 44. Let q be 6*f*(-5)/90. Solve 2/3*n**4 - 8/3*n**3 + 0 - 4/3*n + q*n**2 = 0 for n.
0, 1, 2
Let h(b) = 43*b**2 + 13*b - 13. Let f(l) = -14*l**2 - 4*l + 4. Let k(s) = -14*f(s) - 4*h(s). Factor k(u).
4*(2*u + 1)*(3*u - 1)
Let t(f) be the first derivative of -2*f**5/7 + 11*f**4/7 - 22*f**3/7 + 20*f**2/7 - 8*f/7 - 35. Suppose t(x) = 0. What is x?
2/5, 1, 2
Let y(m) = m**3 - 9*m**2 - m - 1. Let c be y(9). Let f = 12 + c. Factor 0*g + 10/7*g**4 + 0 + 4/7*g**3 + 6/7*g**5 + 0*g**f.
2*g**3*(g + 1)*(3*g + 2)/7
Let i(v) = 3*v**3 + 3*v**2 - 12*v. Let t(w) = -80*w**3 - 80*w**2 + 325*w. Let h(l) = -55*i(l) - 2*t(l). Let h(m) = 0. What is m?
-2, 0, 1
Let t(h) be the first derivative of -h**3/18 + h**2/12 + h/3 - 7. Factor t(b).
-(b - 2)*(b + 1)/6
Solve w + 1/9*w**3 - 2/3*w**2 + 0 = 0.
0, 3
Let z(y) be the third derivative of y**5/90 - 4*y**2. Determine q, given that z(q) = 0.
0
Let p(x) be the third derivative of 49/120*x**6 + 0*x - 2/3*x**3 + x**2 - x**4 - 7/20*x**5 + 0. Let p(n) = 0. Calculate n.
-2/7, 1
Let r(u) = -u**2 - 4*u. Let t be r(-4). Let v be 5/(15/6 - -1). Factor -4/7*j + t + v*j**2 + 2*j**3.
2*j*(j + 1)*(7*j - 2)/7
Let y be 2/3 - 558/840. Let a(z) be the third derivative of -y*z**6 + 2*z**2 + 0*z + 0 - 1/210*z**5 + 1/21*z**3 + 1/84*z**4. Factor a(t).
-2*(t - 1)*(t + 1)**2/7
Let n(r) = -r**3 + 11*r**2 - 4*r**3 + 9*r + r**3. Let z(c) = 4*c**3 - 10*c**2 - 8*c. Let g(f) = 4*n(f) + 5*z(f). Factor g(l).
2*l*(l - 2)*(2*l + 1)
Let m(r) = -2*r**4 + 3*r**3 - 7*r**2 + 3*r - 7. Let x be -8 + (0 + 0 - -3). Let n(o) = o**3 - o**2 + o + 1. Let k(s) = x*n(s) - m(s). Let k(j) = 0. What is j?
1
Let f(n) be the first derivative of 2/27*n**3 + 1/18*n**4 + 0*n**2 + 2 + 0*n. Factor f(h).
2*h**2*(h + 1)/9
Let s(o) be the third derivative of -o**7/1260 + o**5/120 + o**4/72 - 60*o**2. Solve s(y) = 0 for y.
-1, 0, 2
Let u(a) be the third derivative of a**9/3024 - a**8/560 + a**7/280 - a**6/360 + a**3/2 + 2*a**2. Let c(r) be the first derivative of u(r). Factor c(g).
g**2*(g - 1)**3
Let t(n) be the third derivative of 1/525*n**7 + 1/15*n**3 + 1/150*n**6 - 2*n**2 + 0 - 1/840*n**8 - 1/60*n**4 - 1/75*n**5 + 0*n. Factor t(j).
-2*(j - 1)**3*(j + 1)**2/5
Let o(g) = g**2 + 8*g + 19. Let x be o(-5). What is c in 1/2*c**3 + 1/6*c + 0 - 1/6*c**x - 1/2*c**2 = 0?
0, 1
Factor -96*d**2 - 95*d**2 + 186*d**2 + 5*d**4.
5*d**2*(d - 1)*(d + 1)
Let u(g) be the first derivative of -2*g**5/15 + 7. Factor u(w).
-2*w**4/3
Let d be 2/10*(-7 + 13). Factor 3/5*m**5 - d*m**2 + 6/5*m**4 + 0 + 0*m**3 - 3/5*m.
3*m*(m - 1)*(m + 1)**3/5
Suppose -4/5 - 1/5*l**2 - 4/5*l = 0. Calculate l.
-2
Factor 2*k**3 + 2*k**3 - 2*k**2 + 6*k**2.
4*k**2*(k + 1)
Suppose 4 = -9*k + 4. Factor k - l**2 + 2/3*l**3 - 2/3*l.
l*(l - 2)*(2*l + 1)/3
Let w(q) be the third derivative of -q**5/20 - 3*q**4/4 - 4*q**3 - 19*q**2. Determine m, given that w(m) = 0.
-4, -2
Factor 3*i + 10*i + 13*i**2 + 40 - 81*i - 4*i**3 + 19*i**2.
-4*(i - 5)*(i - 2)*(i - 1)
Let c(k) be the second derivative of k**6/120 - k**4/24 - 4*k**2 - 3*k. Let d(n) be the first derivative of c(n). Suppose d(w) = 0. Calculate w.
-1, 0, 1
Let f = 8 - 6. Factor -4*t**3 - 2*t**2 + 3*t**3 - 1 + 3*t - t**f + 2*t**3.
(t - 1)**3
Let s(h) be the third derivative of 1/48*h**6 + 9/8*h**3 - h**2 - 9/3