
-2, 0, 1
Let d be (-9)/2*(-16)/(-12). Let w be ((-16)/d)/(16/24). Factor -1/7 - 1/7*v**w + 0*v + 2/7*v**2 + 0*v**3.
-(v - 1)**2*(v + 1)**2/7
Let j(c) = c**2 - 2*c - 2. Let v(d) = d**2 - d - 1. Let s(m) = 3*j(m) - 6*v(m). Suppose s(f) = 0. What is f?
0
Let d = -2/9 - -26/9. Determine g so that 2*g - d*g**2 - 4/9 + 10/9*g**3 = 0.
2/5, 1
Let y(i) = 2*i**3 + 34*i**2 - 74*i + 45. Let f(g) = -g**3 - 23*g**2 + 49*g - 30. Let j(c) = -7*f(c) - 5*y(c). Factor j(p).
-3*(p - 1)**2*(p + 5)
Let u(a) be the third derivative of -a**7/2268 + a**6/1620 - a**4/6 + 3*a**2. Let f(v) be the second derivative of u(v). Determine g so that f(g) = 0.
0, 2/5
Let x(r) be the second derivative of -r**6/210 + r**5/35 - r**4/28 - 2*r**3/21 + 2*r**2/7 - 10*r. Factor x(t).
-(t - 2)**2*(t - 1)*(t + 1)/7
Let k(n) be the first derivative of -2*n**6/3 + 2*n**4 - 2*n**2 + 1. Factor k(m).
-4*m*(m - 1)**2*(m + 1)**2
Let y(g) = -64*g**2 - 25*g - 11. Suppose 28 = 7*v - 3*v. Suppose -h = -0*h - v. Let a(c) = -32*c**2 - 13*c - 5. Let i(n) = h*a(n) - 3*y(n). Factor i(k).
-2*(4*k + 1)**2
Suppose -24 + 4 = 4*m, 19 = f - 3*m. Let n(c) be the first derivative of 1/3*c**3 - 1 + 1/2*c**2 - c - 1/4*c**f. Factor n(x).
-(x - 1)**2*(x + 1)
Let x(w) be the second derivative of 2/3*w**4 + 3*w**2 + 4*w + 0 + 13/3*w**3. Find c such that x(c) = 0.
-3, -1/4
Let o(t) = -t - 5. Let c be o(-8). Let u = c + -1. Suppose 0 + 1/3*r**u + 1/3*r**4 + 0*r + 2/3*r**3 = 0. What is r?
-1, 0
Let p be 4/8*-4 - -2. Let a(t) be the first derivative of 1/18*t**4 + 0*t**2 - 4 + p*t + 2/27*t**3. Find g such that a(g) = 0.
-1, 0
Let o(q) be the second derivative of -q**6/2 + 39*q**5/20 - q**4 - 2*q**3 + 40*q. Factor o(f).
-3*f*(f - 2)*(f - 1)*(5*f + 2)
Factor -3/2*j**3 + 3/2*j - 3/2 + 3/2*j**2.
-3*(j - 1)**2*(j + 1)/2
Let l(s) = -s**2 - 3*s - 2. Suppose -2*w - 2 = -v, 2*w - 6 = 4*w. Let x(n) = -2*n**2 - 4*n - 2. Let q(z) = v*l(z) + 3*x(z). Let q(b) = 0. What is b?
-1, 1
Factor -2/3*f + 4/3 - 2/3*f**2.
-2*(f - 1)*(f + 2)/3
Let x be (-34)/(-119) - 2/7. Let s(j) be the second derivative of x + 3*j + 1/20*j**5 - 1/6*j**3 - 1/12*j**4 + 0*j**2 + 1/30*j**6. Determine b so that s(b) = 0.
-1, 0, 1
Factor -4/17*a + 14/17*a**2 + 0.
2*a*(7*a - 2)/17
Factor 0 + 0*p**3 - 3/2*p**4 + 3/2*p**2 + 0*p.
-3*p**2*(p - 1)*(p + 1)/2
Let t(m) = m**2 + 1. Let q(i) = -i**3 + 8*i**2 + 15. Let g(w) = 2*q(w) - 22*t(w). Let g(b) = 0. What is b?
-2, 1
Let y(l) = l**2 - 9*l - 13. Let d(n) = n**2 - 4*n - 6. Let v(q) = -13*d(q) + 6*y(q). Find x, given that v(x) = 0.
-2/7, 0
Let t(f) be the second derivative of 5*f**4/48 - 5*f**3/3 + 35*f**2/8 - 4*f. Factor t(w).
5*(w - 7)*(w - 1)/4
Let v(p) = -5*p**3 - 4*p. Suppose 5*b = -1 + 16. Let u(c) = c**3 + c. Let t(h) = b*v(h) + 12*u(h). Factor t(j).
-3*j**3
Suppose 7*c = -0*c. What is f in -1/2*f**3 + 2*f**5 + 3/2*f**4 + c + 0*f**2 + 0*f = 0?
-1, 0, 1/4
Let a(w) be the second derivative of 25*w**4/48 + 55*w**3/12 + 121*w**2/8 - w + 8. Factor a(o).
(5*o + 11)**2/4
Let j(n) be the second derivative of -8*n + 1/14*n**7 + 0*n**2 + n**3 - 9/20*n**5 + 0 + 1/4*n**4 - 1/10*n**6. Factor j(w).
3*w*(w - 2)*(w - 1)*(w + 1)**2
Let s(q) be the third derivative of 0 + 0*q**6 + 1/6*q**3 + 1/210*q**7 - 3*q**2 + 0*q**4 + 0*q - 1/30*q**5. Determine z so that s(z) = 0.
-1, 1
Let w(c) be the second derivative of c**7/21 - 2*c**6/15 - c**5/10 + c**4/3 - 10*c. Determine j so that w(j) = 0.
-1, 0, 1, 2
Let x(j) be the first derivative of j**5/15 - j**4/4 + 7. Let x(d) = 0. Calculate d.
0, 3
Find z such that -63/5*z**5 - 12*z**4 + 6/5*z**2 + 9/5*z**3 + 0*z + 0 = 0.
-1, -2/7, 0, 1/3
Suppose -3*x + 1 = -5*y, 3*x - 10 = -0*x - 4*y. Let b(w) be the first derivative of -6*w**2 - 1 + 2*w**x + 2*w**4 - 2*w + w**2. Factor b(o).
2*(o - 1)*(2*o + 1)**2
Let i(m) be the first derivative of -8/15*m**5 + 1/6*m**6 - 4 + 2/3*m - 7/6*m**2 + 2/3*m**3 + 1/3*m**4. Determine s, given that i(s) = 0.
-1, 2/3, 1
Suppose c - 4 = 2*b - 14, 2 = -c. Let v(o) be the second derivative of 0 - 1/9*o**2 + 1/54*o**b + 0*o**3 + o. Determine s so that v(s) = 0.
-1, 1
Let s(j) be the first derivative of j**6/4 - 9*j**5/10 - 3*j**4/8 + 11*j**3/2 - 9*j**2 + 6*j - 6. Factor s(y).
3*(y - 2)*(y - 1)**3*(y + 2)/2
Let o(k) = 22*k**5 - 7*k**4 - 30*k**3 + 22*k + 7. Let b(r) = -7*r**5 + 2*r**4 + 10*r**3 - 7*r - 2. Let f(x) = 7*b(x) + 2*o(x). Determine d, given that f(d) = 0.
-1, 0, 1
Factor 0*j**2 - 3/5*j**4 + 3/5 + 6/5*j - 6/5*j**3.
-3*(j - 1)*(j + 1)**3/5
Let d(w) = -w**2 + 8*w - 9. Let n be d(6). Let 0*k + 8*k**2 - k - 7*k**2 + n*k = 0. Calculate k.
-2, 0
Let o be (-2 + 1)/15 - 34/(-85). Let t(v) be the second derivative of -v**2 + 5/6*v**3 + 3*v + 1/20*v**5 + 0 - o*v**4. Factor t(z).
(z - 2)*(z - 1)**2
Suppose -8/5*y + 0 + 16*y**2 + 162/5*y**4 - 234/5*y**3 = 0. What is y?
0, 2/9, 1
Determine h so that 0*h**3 + 3*h**4 - 3/2*h + 0 - 3*h**2 + 3/2*h**5 = 0.
-1, 0, 1
Let 6/5*k**2 - 6/5*k**4 - 12/5*k**3 + 9/5*k**5 + 0 + 3/5*k = 0. What is k?
-1, -1/3, 0, 1
Factor 22*v + 2 - 4*v**2 - 14*v - 6.
-4*(v - 1)**2
Let b(f) be the second derivative of 2*f**7/63 + 8*f**6/45 - 2*f**5/15 - 4*f**4/3 + 2*f**3 - 8*f. Factor b(s).
4*s*(s - 1)**2*(s + 3)**2/3
Let k(i) be the third derivative of -i**7/105 - i**6/60 + i**5/15 - 10*i**2. Factor k(v).
-2*v**2*(v - 1)*(v + 2)
Factor h**2 - 7*h - 3*h**2 + 9*h + 4*h**2.
2*h*(h + 1)
Let g(u) be the second derivative of 3*u**6/10 - 3*u**5/2 - 23*u**4/12 - 2*u**3/3 - 24*u. Factor g(c).
c*(c - 4)*(3*c + 1)**2
Let s(z) = 5*z**5 - 4*z**4 + 6*z**3 - 2*z**2 - 5*z. Let v(g) = -4*g**5 - g**4 - 144*g**3 + 145*g**3 - g + 5*g**5. Let d(a) = s(a) - 6*v(a). Factor d(u).
-u*(u - 1)**3*(u + 1)
Let w(m) = 21*m**3 - 29*m**2 - 8*m + 16. Let c(q) = -5*q**3 + 7*q**2 + 2*q - 4. Let z(t) = 26*c(t) + 6*w(t). Factor z(y).
-4*(y - 2)*(y - 1)*(y + 1)
Let j(u) be the second derivative of -u + 0 + 0*u**3 - 1/48*u**4 + 1/8*u**2. Determine n so that j(n) = 0.
-1, 1
Let p(f) be the second derivative of 3*f**5/20 - 2*f**4 + 8*f**3 + 12*f. Let p(j) = 0. Calculate j.
0, 4
Let p(f) = -10*f**2 - 3*f. Let o(b) = b**2 - b. Let r(z) = 3*o(z) + p(z). Let j(x) = -6*x**2 - 5*x. Let d(w) = -6*j(w) + 5*r(w). Factor d(q).
q**2
Suppose f - 2 = p, -5*f + 4 = -3*p - 10. Suppose 6 + p = 2*j. Find y such that -1/2*y**j + 0*y**2 + 0*y - 1/2*y**3 + 0 = 0.
-1, 0
Factor -3/4 - 1/4*a**2 - a.
-(a + 1)*(a + 3)/4
Let w be -3*(6 - 60/9). What is z in -8/7*z + 2/7*z**3 + 16/7 - 4/7*z**w = 0?
-2, 2
Let a = -1 + -3. Let t be (6/4)/((-3)/a). Solve -2*h**t - 2*h**3 - 5*h**4 + 2*h**5 - h**4 + 8*h**3 = 0 for h.
0, 1
Suppose 8*u - 245 = -221. Solve 0*w**2 + 1/3*w + 1/6 - 1/3*w**u - 1/6*w**4 = 0 for w.
-1, 1
Let m = -1478 + 1487. Let o be 1/(-1) + (-29)/(-2). Factor -o*z**2 - 3/2 + m*z.
-3*(3*z - 1)**2/2
Let q(f) = -5*f**2 - 4*f. Let a(j) = -11*j**2 - 7*j. Let h(m) = 4*a(m) - 9*q(m). Factor h(l).
l*(l + 8)
Suppose -5 + 14*c**3 + 5 + 2*c + 25*c**2 - 15*c**2 + 6*c**4 = 0. What is c?
-1, -1/3, 0
Let w(y) be the second derivative of -y**7/273 + y**6/65 - 2*y**4/39 + 2*y - 13. Suppose w(g) = 0. Calculate g.
-1, 0, 2
Let v be (12/(-10))/((-1)/10). Let v*o**4 + 0*o - 2 + 2 - 12*o**2 + 3*o**3 - 3*o = 0. What is o?
-1, -1/4, 0, 1
Let k(r) be the second derivative of r**9/9450 + r**8/5600 - r**7/6300 - r**4/3 + 4*r. Let g(l) be the third derivative of k(l). Suppose g(w) = 0. Calculate w.
-1, 0, 1/4
Let q(n) = 13*n + 4. Let j be q(0). Determine x, given that 0*x + 0*x**3 - 1/2*x**j + 0*x**2 - 1/2*x**5 + 0 = 0.
-1, 0
Factor -3/7*v**4 - 3/7*v**3 + 3/7*v**2 + 0 + 3/7*v**5 + 0*v.
3*v**2*(v - 1)**2*(v + 1)/7
Let r = 24 - 16. Suppose 16 = -4*a + r*a. Factor 2*u**2 - 3*u + u - 1 - 3*u**2 + a*u.
-(u - 1)**2
Let g(p) be the third derivative of -p**8/2184 + p**7/1365 + p**6/390 - p**5/195 - p**4/156 + p**3/39 - 4*p**2. Let g(f) = 0. What is f?
-1, 1
Let b(c) be the first derivative of c**3/18 + c**2/6 + c/6 - 14. Solve b(p) = 0 for p.
-1
Let s(k) be the third derivative of -3*k**5/80 + k**4/16 + k**3/8 - 2*k**2. Suppose s(q) = 0. Calculate q.
-1/3, 1
Let d be -2*((-6)/(-2) + -4). Let k be 2/(-42) - d/(-6). Solve -k*a**4 + 0*a**2 + 0 - 2/7*a**3 + 0*a = 0.
-1, 0
Let b(c) be the first derivative of -c**7/1155 + c**5/330 + 3*c**2/2 + 8. Let h(z) be the second derivative of b(z). Factor h(n).
-2*n**2*(n - 1)*(n + 1)/11
Suppose f = -4*y - 2*f + 28, 0 =