1*q**3 - 19*q + 9. Let j(i) = 4*i + 5*i**3 - 9 + 5*i + 5. Let y(r) = -13*j(r) - 6*n(r). Find s such that y(s) = 0.
-1, 2
Let k(r) be the third derivative of -r**5/18 + r**4/18 - r**3/45 + r**2. Factor k(o).
-2*(5*o - 1)**2/15
Let b(s) be the second derivative of 2/3*s**2 + 2/3*s**3 + 1/90*s**6 - 6*s + 0 + 1/10*s**5 + 13/36*s**4. Factor b(l).
(l + 1)**2*(l + 2)**2/3
Let l be ((-1)/(3/12))/(2*-3). Let l*v - 1/3 + 1/3*v**4 + 0*v**2 - 2/3*v**3 = 0. What is v?
-1, 1
Let v(w) = w**3 - 9*w**2 - w + 13. Let f(m) = 2*m**2 + 1. Let l be f(-2). Let s be v(l). Factor 2*g**5 - 2*g**2 + 0*g**s + 7*g**3 + 4*g**2 + 6*g**4 - g**3.
2*g**2*(g + 1)**3
Suppose n + 10*n + n**3 - 6*n - 3*n - 3*n**2 = 0. What is n?
0, 1, 2
Let q(o) be the first derivative of o**8/840 + o**7/180 + o**6/108 + o**5/180 + 2*o**3 + 5. Let c(i) be the third derivative of q(i). Factor c(m).
2*m*(m + 1)**2*(3*m + 1)/3
Factor -1/2*k**3 + 0*k - 1/2*k**2 + 0.
-k**2*(k + 1)/2
Let r(c) = 2*c + 7. Let u be r(-5). Let i = -1 - u. Factor -20*t**i + 0*t**5 + 10*t + 2*t**5 + 18*t**3 + 2*t**3 - 10*t**4 - 2.
2*(t - 1)**5
Let q(i) be the first derivative of -2*i**3/7 - 11*i**2/7 - 12*i/7 - 18. Factor q(l).
-2*(l + 3)*(3*l + 2)/7
Let f(q) be the second derivative of -q**7/630 - q**6/90 - q**5/30 - q**4/18 - q**3/18 - 5*q**2/2 - q. Let v(k) be the first derivative of f(k). Factor v(w).
-(w + 1)**4/3
Let w(i) = i**3 - 3*i**2 - 17*i - 11. Let u(x) = x**3 - 2*x**2 - 15*x - 12. Let k(h) = -7*u(h) + 6*w(h). Factor k(y).
-(y - 2)*(y + 3)**2
Factor q + 6*q**4 - 2*q**5 + q + 3*q**4 - 4*q**2 - 5*q**4.
-2*q*(q - 1)**3*(q + 1)
Let q = -2596/5 - -521. Factor -3/5 - 12/5*f**3 + 0*f**2 + q*f.
-3*(f + 1)*(2*f - 1)**2/5
Suppose 9 = 4*k - 15. Let u = k + -2. Determine a, given that 2/7 + 0*a + 0*a**3 - 4/7*a**2 + 2/7*a**u = 0.
-1, 1
Let j(f) be the second derivative of -f + 1/9*f**2 + 0 + 1/27*f**4 + 1/9*f**3. Factor j(a).
2*(a + 1)*(2*a + 1)/9
Let s(c) be the first derivative of -8 - 9*c**3 + 9*c**3 - c**4 - 1 + 6*c**2 + 8*c. Factor s(m).
-4*(m - 2)*(m + 1)**2
Let p(g) = g**3 + 3*g**2 - 5*g - 4. Let i be p(-4). Let i + 2/5*x**2 - 2/5*x = 0. Calculate x.
0, 1
Let a(m) = 4*m**3 + 28*m**2 - 24. Let q(d) = -d**2 - d. Let t(r) = -a(r) - 4*q(r). Factor t(u).
-4*(u - 1)*(u + 1)*(u + 6)
Find a such that 0*a - 2*a**3 + 4/3*a**2 + 0 + 2/3*a**4 = 0.
0, 1, 2
Factor -34*t**2 + 3*t**4 - 16*t**3 + 32 + 16*t - 5*t**4 + 4*t**2.
-2*(t - 1)*(t + 1)*(t + 4)**2
Let q = -413/2 - -219. Let s = q - 12. Factor 0*o + s*o**2 + 0.
o**2/2
Let s(x) be the third derivative of -x**2 + 1/96*x**4 - 1/240*x**6 + 0 - 1/24*x**3 + 1/1344*x**8 + 0*x + 1/120*x**5 - 1/840*x**7. Factor s(q).
(q - 1)**3*(q + 1)**2/4
Let d be 1/5 - (-12)/30. What is b in -1/5 - d*b**2 + 4/5*b = 0?
1/3, 1
Let f(g) be the first derivative of 0*g + 0*g**2 + 3 - 1/3*g**3. Suppose f(a) = 0. Calculate a.
0
Suppose -4 = -2*f - 0. Determine a so that -a - 3*a + a**f + 3*a = 0.
0, 1
Let y(j) be the first derivative of -1/3*j**4 + 2/15*j**5 + 0*j + 0*j**2 + 3 + 2/9*j**3. Factor y(x).
2*x**2*(x - 1)**2/3
Factor -3*o**2 - 13*o**2 - 4*o + 12*o**2.
-4*o*(o + 1)
Let n = 253/38 + 16/19. Determine v, given that -9/2*v**4 + 0 - 3/2*v - n*v**2 - 21/2*v**3 = 0.
-1, -1/3, 0
Let 26/5*p**4 + 2/5*p**3 - 2*p**5 + 8/5 - 34/5*p**2 + 8/5*p = 0. Calculate p.
-1, -2/5, 1, 2
Suppose -5*y - 17 = 18. Let h = 10 + y. Factor -j**3 + 2*j**3 + j**h.
2*j**3
Suppose -2*v - 111 = -4*n + v, -2*n + 4*v + 48 = 0. Let x be (-112)/(-60) + 4/n. Let -1/2 - 1/4*l + 1/4*l**x = 0. What is l?
-1, 2
Let v(n) = -7*n**4 - 8*n**3 - 19*n**2 - 6*n - 4. Let h(s) = 6*s**4 + 9*s**3 + 18*s**2 + 6*s + 3. Let t(w) = 4*h(w) + 3*v(w). Determine x so that t(x) = 0.
-2, -1, 0
Let t be -1*3/(-9)*3. Let j(h) = h**2 - h + 1. Let y(u) = 3*u**3 - 4*u**2 + 3*u + 4. Let b(d) = t*y(d) - 6*j(d). Factor b(p).
(p - 2)*(p - 1)*(3*p - 1)
Let a(f) be the second derivative of -f**4/72 + 5*f**3/18 + 11*f**2/12 + 27*f. Factor a(d).
-(d - 11)*(d + 1)/6
Let h = 13509922448137/2001123879756 - -20/292049603. Let w = h - 2/1713. Determine y so that 12*y**5 - 21/4*y**3 + 69/4*y**2 - 18*y**4 + 3/4 - w*y = 0.
-1, 1/4, 1
Let n = -34 + 41. Let k(x) be the second derivative of 2*x + 0 + 17/105*x**6 - 2/5*x**5 + 11/21*x**4 + 1/7*x**2 - 8/21*x**3 - 4/147*x**n. Factor k(z).
-2*(z - 1)**4*(4*z - 1)/7
Let a be (56/(-6))/7*6/(-28). Determine i, given that 2/7 - a*i**2 + 0*i = 0.
-1, 1
Let p(l) be the third derivative of -l**5/300 - l**4/120 + l**3/15 - 18*l**2. Factor p(b).
-(b - 1)*(b + 2)/5
Let c(q) be the second derivative of 0*q**2 - q - 1/6*q**4 + 0 - 2/3*q**3. Factor c(x).
-2*x*(x + 2)
Let i(h) be the third derivative of -h**6/60 - 4*h**5/105 - h**4/84 + 17*h**2. Factor i(t).
-2*t*(t + 1)*(7*t + 1)/7
Suppose 0*x = -x + 2. Determine b, given that 2*b**2 + b**2 - b - 4*b**x = 0.
-1, 0
Suppose 4*j - 1 = 15. Let q(b) = -b**2 + 5*b - 2. Let h be q(j). Determine n so that -h*n**2 + n**2 + 2*n**3 - n**3 - n**5 + n**4 = 0.
-1, 0, 1
Suppose f - 2*f + 2 = 0. Let n be (-28)/(-49)*7/f. Factor 18/5 + 2/5*u**n - 12/5*u.
2*(u - 3)**2/5
Let l be 3/11*(-8)/(-72). Let r(h) be the second derivative of 0*h**4 + l*h**3 - 1/55*h**5 + 0 + 0*h**2 + h + 1/231*h**7 + 0*h**6. Factor r(s).
2*s*(s - 1)**2*(s + 1)**2/11
Let s(y) = -y + 9. Let r be s(6). Factor 2/3*w**r + 0*w**2 + 0*w + 0.
2*w**3/3
Suppose h - 5*j = -15, 2*h = -3*j - 7 + 16. Suppose h = 2*z - 3*p - 11, p + p = 2*z - 8. Suppose -z + 2*q**2 + 3/2*q**3 - 1/2*q = 0. Calculate q.
-1, 2/3
Let t(y) be the second derivative of y**7/57 - y**6/95 - 3*y. Determine o so that t(o) = 0.
0, 3/7
Factor -o**5 - 4*o**5 - 4*o**4 + 8*o + 20*o**2 + 2*o**5 - o**5 + 12*o**3.
-4*o*(o - 2)*(o + 1)**3
Let u(v) = -5*v**2 - v. Let r(f) = 9*f**2 + 3*f. Let b(s) = -3*r(s) - 5*u(s). Factor b(d).
-2*d*(d + 2)
Let x be (-13)/(-3) + (-45)/15. Determine c, given that -3*c - 2/3 - x*c**2 = 0.
-2, -1/4
Suppose z = -p + 47, z - 3*p - 53 = 2*p. Factor 24*g**2 + z*g**2 + 8*g + 7*g**3 + 83*g**3 - 24*g**2 + 50*g**4.
2*g*(g + 1)*(5*g + 2)**2
Let f = 50 - 30. Factor f*p**4 - p**3 - 3*p**3 - 16*p**4 + 4*p - 4*p**2.
4*p*(p - 1)**2*(p + 1)
Let y be (24/(-45))/4 + (-654)/(-180). Factor 1/4*r**5 - 3/2*r**4 + 9/4*r + y*r**3 - 4*r**2 - 1/2.
(r - 2)*(r - 1)**4/4
Let t(g) be the second derivative of g**5/20 - g**3/2 - g**2 - 18*g. Factor t(r).
(r - 2)*(r + 1)**2
Let w(u) = -5*u**5 + 4*u**4 - 4*u**3 - 2*u**2 + 5*u - 2. Let k(t) = -t**5. Let x(i) = -4*k(i) + w(i). Find a, given that x(a) = 0.
-1, 1, 2
Suppose 4*f - 12 = -4*j, 8*f + 5*j - 9 = 6*f. Let o(s) be the third derivative of -1/15*s**5 - 1/4*s**4 - 1/3*s**3 + 0 - s**f + 0*s. Solve o(n) = 0 for n.
-1, -1/2
Let s be 1330/(-5586) - (8/6)/(-2). What is d in 6/7*d**2 + 6/7*d**3 - 3/7*d - 3/7*d**5 - 3/7 - s*d**4 = 0?
-1, 1
Let z(g) be the second derivative of g**6/300 + 2*g**5/75 + g**4/15 + g**2 + 2*g. Let a(t) be the first derivative of z(t). What is w in a(w) = 0?
-2, 0
Let s = 18 - 15. Let j(d) be the third derivative of 2*d**2 + 0*d**s + 0*d + 0 + 1/60*d**6 + 0*d**4 + 1/30*d**5. What is x in j(x) = 0?
-1, 0
Let r(m) be the second derivative of m**5/100 - 3*m**4/40 + m**3/5 + 2*m**2 + 3*m. Let q(a) be the first derivative of r(a). Factor q(j).
3*(j - 2)*(j - 1)/5
Let a(m) be the third derivative of m**7/105 - m**6/30 + m**4/6 - m**3/3 + 16*m**2. What is q in a(q) = 0?
-1, 1
Let d(l) be the second derivative of l**4/30 - l**2/5 + 8*l. Factor d(h).
2*(h - 1)*(h + 1)/5
Suppose -3*q - 4 = -7. Factor -s**2 - 2*s + 1 - 3 - q + 2.
-(s + 1)**2
Let r(y) = y + 5. Let g be r(-3). Suppose -g*p = -p. Factor -1/2*f - 1/4*f**2 + p.
-f*(f + 2)/4
Let g be 4/12 + (2 - (-7)/(-3)). Factor -x**2 - 1/3*x**4 + x**3 + 1/3*x + g.
-x*(x - 1)**3/3
Let n = 485/16 + -2667/80. Let y = -21/8 - n. Factor -2/5*o + 4/5 - 4/5*o**2 + y*o**3.
2*(o - 2)*(o - 1)*(o + 1)/5
Suppose 0 = -11*h + 38 - 5. Let x(w) be the first derivative of 0*w - 1/12*w**3 - h - 1/4*w**2. Factor x(b).
-b*(b + 2)/4
Let 0*l**3 + 0*l + 4/3*l**4 - 32/3*l**2 + 64/3 = 0. Calculate l.
-2, 2
Let v(j) be the first derivative of -j**6/18 - j**5/5 - j**4/6 + 2*j**3/9 + j**2/2 + j/3 + 5. Factor v(s).
-(s - 1)*(s + 1)**4/3
Factor f**2 - 2*f**2 - 2*f - 4*f + 2*f**3 - 3*f**2.
2*f*(f - 3)*(f + 1)
Suppose 3*b = -2*m - 0*m - 59, 0 = -4*m + 5*b - 107. Let g be (-36)/m + (1 - 2). Factor 0*x - 2/7*x**5 + g*x**3 + 