1 - f/33) + 2. Factor v + 2/11*n**3 - 2/11*n**2 - 2/11*n.
2*(n - 1)**2*(n + 1)/11
Let g(p) = p**2 - 8*p - 7. Let j be g(9). Let x(v) be the first derivative of -2 + 2/35*v**5 + 0*v + 2/21*v**3 + 0*v**j + 1/7*v**4. Find y such that x(y) = 0.
-1, 0
Suppose 0 = -0*o + o - 7. Suppose -o = -f - 1. Factor -f*t**4 + 6*t**3 + 2*t + 2*t**5 - 2*t**2 - 2*t.
2*t**2*(t - 1)**3
Factor 8 - 3*g + 34*g**2 - 38*g**2 + 4*g + 3*g.
-4*(g - 2)*(g + 1)
Suppose 2*t = -t. Factor 0*u**3 + 2/7*u**4 - 4/7*u**2 + 2/7 + t*u.
2*(u - 1)**2*(u + 1)**2/7
Let a be 2/(-7) - (120/(-28) - -1). Factor -1/3*w - 1/6*w**4 - 2/3*w**a - 5/6*w**2 + 0.
-w*(w + 1)**2*(w + 2)/6
Let s(v) be the second derivative of v**2 - 4*v - v**3 - 2/3*v**4 + 0. Factor s(c).
-2*(c + 1)*(4*c - 1)
Let w(t) be the first derivative of 4 + 1/3*t**2 + 0*t - 1/9*t**3. Suppose w(l) = 0. Calculate l.
0, 2
Let k = -75/7 + 564/35. Let -18/5*d + k*d**2 + 3/5 = 0. What is d?
1/3
Factor 0*j - 8*j**2 - 1/2*j**4 + 0 + 4*j**3.
-j**2*(j - 4)**2/2
Let w be 1/(-14)*-4*(-17 - -26). What is d in -10/7*d**2 + w - 6/7*d - 2/7*d**3 = 0?
-3, 1
Let q(v) = -v**2 - v - 1. Let m(h) = -h + 1. Let j(i) = -i. Let w(n) = -2*j(n) + m(n). Let z(p) = -q(p) - w(p). Factor z(k).
k**2
Suppose -3*o = -f - 8 - 3, 3*f = -15. Factor -1/2*h**4 + 5/2*h**o + 0 + 1/2*h**5 - 3/2*h**3 - h.
h*(h - 1)**3*(h + 2)/2
Factor 4/3 - 4/3*b**3 - 14/3*b - 4/3*b**4 + 2/3*b**5 + 16/3*b**2.
2*(b - 1)**4*(b + 2)/3
Let h be (-7)/(-35) + 16/(-5) + 3. Suppose h - 2/5*n**2 - 2/5*n = 0. Calculate n.
-1, 0
Let u(d) = 2*d + 36. Let p be u(-17). Find o, given that 2*o**p - o**4 - 1/2*o - 1/2*o**5 - 1 + o**3 = 0.
-2, -1, 1
Let y(z) = z**2 + 2*z - 3. Let h be y(-3). Suppose h = -0*f - f. Factor 0 - 1/3*v**4 + 0*v + 1/3*v**3 + f*v**2.
-v**3*(v - 1)/3
Suppose -9*w = -2*w - 28. Let k(u) be the third derivative of 3*u**2 + 1/42*u**7 + 0*u + 4/15*u**5 + 17/120*u**6 + 1/6*u**w + 0*u**3 + 0. Factor k(p).
p*(p + 1)*(p + 2)*(5*p + 2)
Let v(d) be the third derivative of 0*d**5 + 1/540*d**6 + 2/27*d**3 + 5*d**2 + 0*d - 1/36*d**4 + 0. Factor v(c).
2*(c - 1)**2*(c + 2)/9
Let i(b) be the second derivative of -b**6/204 - 7*b**5/510 - b**4/102 - 3*b**2 - 7*b. Let h(x) be the first derivative of i(x). Factor h(g).
-2*g*(g + 1)*(5*g + 2)/17
Let a be (6*1)/(4/2). Suppose 0 = -3*m - a*o + 5*o + 16, -5*m - 2*o = 0. Suppose -1 - m*n**2 + 2 + 4*n - 3 = 0. Calculate n.
1
Let u(f) be the third derivative of -f**6/24 - f**5/12 + 5*f**4/24 + 5*f**3/6 - 8*f**2. Find m, given that u(m) = 0.
-1, 1
Factor -3/4 - 3/4*c**3 + 3/4*c + 3/4*c**2.
-3*(c - 1)**2*(c + 1)/4
Factor -9*d - 1 + 18*d**2 + 9*d**4 + 6*d**4 + 15*d**2 - 3*d**4 - 35*d**3.
(d - 1)**3*(12*d + 1)
Suppose 0 = 16*r - 32. Let -1/2*a**r + 0*a - 1/2*a**3 + 0 = 0. What is a?
-1, 0
Solve 2/7*z**3 + 2/7*z + 0 + 4/7*z**2 = 0.
-1, 0
Let l(k) be the first derivative of -1 - 3/4*k**4 + 1/3*k**3 + 0*k - 1/5*k**5 + 1/2*k**6 + 0*k**2. Suppose l(p) = 0. Calculate p.
-1, 0, 1/3, 1
Let g(k) be the second derivative of 1/4*k**4 + 0*k**5 + 0*k**3 + 6*k + 0*k**2 - 1/10*k**6 + 0. Factor g(d).
-3*d**2*(d - 1)*(d + 1)
Solve -17/4*v - 3/2*v**4 + 19/4*v**3 + 3/2 + 1/2*v**2 = 0 for v.
-1, 1/2, 2/3, 3
Suppose 8*w - 12 = 5*w. Factor -5*r**4 - r**w - r**4 + 4*r**4 - 9*r**3 - 6*r**2.
-3*r**2*(r + 1)*(r + 2)
Let a be (-20)/(-5) + -8 - -46. Let z be ((-14)/a)/(8/(-6)). Factor -1/4*l**5 + 0*l**2 - z*l + 1/2*l**3 + 0*l**4 + 0.
-l*(l - 1)**2*(l + 1)**2/4
What is n in 332*n - 332*n - 4*n**3 = 0?
0
Suppose 3*f + 24 + 12 = 0. Let n = -10 - f. Factor 2/3*h - 2/3*h**n + 0.
-2*h*(h - 1)/3
Let o(n) = -8*n**3 - 3*n + 25 + 0*n**2 + 28*n + 9*n**2. Let x(l) = l**3 - l**2 - 3*l - 3. Let u(y) = 6*o(y) + 51*x(y). Factor u(g).
3*(g - 1)*(g + 1)**2
Let i(f) be the first derivative of -2*f**6/3 + 8*f**5/5 + 4*f**4 - 8*f**3/3 - 6*f**2 - 39. Let i(h) = 0. What is h?
-1, 0, 1, 3
Let m(w) = -w + 11. Suppose 0*c - 14 = -2*c. Let f be m(c). Find r such that r**4 - 3*r**4 - r**3 + r**f = 0.
-1, 0
Let u(r) be the first derivative of -r**3/6 + 3*r**2/2 - 9*r/2 + 8. Factor u(s).
-(s - 3)**2/2
Factor -7 + 1 + 30*s - 3 + 27*s**2 - 14*s**3 + 2*s**3.
-3*(s - 3)*(s + 1)*(4*s - 1)
What is p in -9*p**3 + 2*p**3 + 3*p**4 + 4*p**3 = 0?
0, 1
Let o(i) = -i**3 - i**2 + i + 3. Let j be o(0). Factor -5*t**2 - 2*t**3 + 3*t**j + 4*t**2.
t**2*(t - 1)
Factor 7/4*d - 1/8*d**2 - 49/8.
-(d - 7)**2/8
Let m be (0*(-1)/3)/(-1). Suppose u - 5*u + 40 = m. Solve -3*y - 14*y + 8 + 32*y**4 + 86*y**2 - 5*y**5 - 17*y - u*y - 77*y**3 = 0.
2/5, 1, 2
Let r(x) be the first derivative of x**6/2 + 9*x**5/5 + 3*x**4/4 - 3*x**3 - 3*x**2 - 10. Find i such that r(i) = 0.
-2, -1, 0, 1
Determine t, given that 0 - 2/9*t**2 + 2/9*t**3 + 0*t = 0.
0, 1
Let v(z) = -z**4 - 7*z**3 - 9*z**2 - 4*z. Let p(l) = -l**4 - l**3 - l**2. Let x(y) = 2*p(y) + 2*v(y). Factor x(t).
-4*t*(t + 1)**2*(t + 2)
Let v(w) be the first derivative of w**4/4 - 2*w**3/3 - w**2/2 + 2*w - 7. Find u such that v(u) = 0.
-1, 1, 2
Let n = -18 + 26. Factor g - 11*g**2 + 3*g - 2*g**4 + g**2 + n*g**3.
-2*g*(g - 2)*(g - 1)**2
Suppose 3*l - 17 + 11 = 0. Solve 0*k**l - 2/7*k**4 + 2/7 - 4/7*k + 4/7*k**3 = 0.
-1, 1
Suppose 3*c + 4*c + 2*c**2 - 5*c = 0. What is c?
-1, 0
Let o(i) be the second derivative of -i**5/30 - 4*i**4/9 - 5*i**3/9 + 50*i**2/3 - 7*i. What is b in o(b) = 0?
-5, 2
Find z such that -15*z - 4*z**2 - 9*z - z**2 - 125 - 26*z = 0.
-5
Suppose -4*h + q + 10 = 0, -2 = 5*q + 8. Factor 12 - 3/2*p**3 - 18*p + 9*p**h.
-3*(p - 2)**3/2
Suppose 2*f = 4*o + 24, 2*o - 4*f = -2*o - 32. Let c = o + 12. Factor -x**2 + 10*x + c + 6*x + 0*x**2 - 41*x**2.
-2*(3*x - 2)*(7*x + 2)
Let i(t) be the third derivative of 2*t**5/105 + t**4/84 - 4*t**2. Factor i(h).
2*h*(4*h + 1)/7
Solve -12*h**4 + 32/3*h + 32*h**3 - 4/3 - 88/3*h**2 = 0 for h.
1/3, 1
Let h(y) = y**4 + y**3 + y**2 + y + 1. Let j(n) = -5*n**5 + 11*n**4 - 14*n**3 - 14*n**2 + 11*n - 9. Let d(z) = 4*h(z) + j(z). Suppose d(t) = 0. Calculate t.
-1, 1
Let q be (-2)/(-9) - (-800)/(-3384). Let j = 296/987 + q. Solve -j + 2/7*s**2 + 0*s = 0.
-1, 1
Let z(y) be the second derivative of y**7/147 - y**6/70 + y**4/84 + 8*y. Let z(v) = 0. Calculate v.
-1/2, 0, 1
Let i(x) = -4*x**3 - 4*x**2 + 3*x - 5. Let j(p) = -10*p**3 - 10*p**2 + 8*p - 12. Let a(d) = -4*d + 3. Let q be a(2). Let f(g) = q*j(g) + 12*i(g). Factor f(v).
2*v*(v - 1)*(v + 2)
Let f(n) = -20*n**5 - 20*n**4 + 56*n**3 - 16*n**2 - 16*n. Let g(k) = -4*k**5 - 4*k**4 + 11*k**3 - 3*k**2 - 3*k. Let s(a) = 3*f(a) - 16*g(a). Factor s(l).
4*l**3*(l - 1)*(l + 2)
Suppose -5*w - 5 = 2*a, 5 = -w - 4*w. Let d(n) be the third derivative of 0*n**3 + 0*n - 1/66*n**4 + 1/330*n**5 + a - 2*n**2. Factor d(o).
2*o*(o - 2)/11
Suppose -p = -0*p - 5. Let o be (-42)/(-63)*(4 - -2). Factor 0*h**2 + 0*h**o - 2/13*h**p + 0 + 2/13*h**3 + 0*h.
-2*h**3*(h - 1)*(h + 1)/13
Let m(y) be the first derivative of 3*y**5/10 + y**4/9 - y**3 - 2*y**2/3 - y + 4. Let r(b) be the first derivative of m(b). Solve r(a) = 0 for a.
-1, -2/9, 1
Let k(m) be the first derivative of -m**6/480 + m**5/240 - m**2 - 6. Let x(p) be the second derivative of k(p). Factor x(d).
-d**2*(d - 1)/4
Let p = -5 - -5. Suppose 2*d**4 + 4*d**3 - 7*d + p + 3*d - 2 = 0. What is d?
-1, 1
Let h(p) be the third derivative of 0 - 2/45*p**6 + 3*p**2 + 1/9*p**3 + 0*p - 1/15*p**5 + 0*p**4 - 1/105*p**7. Factor h(j).
-2*(j + 1)**3*(3*j - 1)/3
Factor -3*t**2 - 8*t - 2 + 4 - 5 + 14*t.
-3*(t - 1)**2
Let i(u) be the second derivative of -u**7/1120 - u**6/240 - u**5/160 - u**3/3 - u. Let m(c) be the second derivative of i(c). Factor m(y).
-3*y*(y + 1)**2/4
Factor -1/9*y**2 - 1 + 2/3*y.
-(y - 3)**2/9
Suppose 0 = 3*m + m - 8. Suppose -4*a - 5*t = -25, -3*a + 15 = 5*t - m*t. Factor 6*x**3 + 6*x**2 + a*x + 3*x - x + 0*x + 2*x**4.
2*x*(x + 1)**3
Suppose 33 = 5*c - 12. Let l = -6 + c. Solve -2/9*g**l - 2/9*g**2 + 0 + 0*g = 0 for g.
-1, 0
Let o = -5 + 6. Factor 2*s + 0*s + o + 2*s + 0*s + 3*s**2.
(s + 1)*(3*s + 1)
Let m(g) be the first derivative of g**6/18 + g**5/5 + g**4/12 - g**3/3 - g**2/3 + 9. Suppose m(l) = 0. Calculate l.
-2, -1, 0, 1
Let f = 1/2 + 0. Factor -f*s**4 - 1/2 + s**2 + 1/2*s**5 - s**3 + 1/2*s.
(s - 1)**3*(s + 1)**2/2
Let r(b) = -b - 4. Let a be r(-8). Factor 2*x**2 - x**4 + 5*x - a*x - x**2 - x**3.
-x*(x - 1)*(x + 1)**2
Let y = 31 + -19. Suppose 9*w = y*w. Factor 0 + 2/7*