2 - 8/5*v**5 + j + 2/5*v**3 - 6/5*v**4 + 0*v = 0?
-1, 0, 1/4
Suppose -2*d - 3*x + 13 = -3, 2*d + 4 = 2*x. Factor -3*j**2 - 5 + d*j + 5 + j.
-3*j*(j - 1)
Let h(g) be the third derivative of -g**5/240 + g**4/24 - g**3/6 + 7*g**2. Factor h(s).
-(s - 2)**2/4
Let u = 1/9 + 7/18. Let h(p) be the first derivative of -1 + 1/6*p**3 + u*p - 1/2*p**2. Suppose h(j) = 0. Calculate j.
1
Let z(n) be the first derivative of -3*n**5/5 + n**4/2 + n**3 - n**2 - 5. Find c such that z(c) = 0.
-1, 0, 2/3, 1
Let x = 6 + 0. Let o be 2/(-3)*x/(-2). Factor 0*m + 26*m**3 - 8*m**o - 12*m**4 + 8*m - 16*m**2 + 2*m**5.
2*m*(m - 2)**2*(m - 1)**2
Let z be (-4)/(-6)*(-4 + 10). Let u(g) = g - 2. Let s be u(z). Factor -2*j**2 + s*j**2 + 2*j**2.
2*j**2
Let h(z) be the third derivative of 5*z**8/336 + z**7/14 + z**6/12 + 26*z**2. Determine a so that h(a) = 0.
-2, -1, 0
Let r = 162 + -162. Factor 4/3*l**2 - l**4 - 2/3*l**3 - 1/3 + r*l + 2/3*l**5.
(l - 1)**3*(l + 1)*(2*l + 1)/3
Let s = 73313 + -3299237/45. Let t = 34/9 + s. Suppose 4/5*b - 4/5*b**3 + t - 2/5*b**4 + 0*b**2 = 0. Calculate b.
-1, 1
Let m(t) = t**2 - 1. Let v(r) = -3*r**2 - 3*r + 2. Let q(l) = -6*m(l) - 3*v(l). Factor q(n).
3*n*(n + 3)
Let w = 55/369 - -3/41. What is r in 4/9*r + w*r**2 + 2/9 = 0?
-1
Let j(p) = p**4 - p**3 + p**2 + p + 1. Let u(s) be the first derivative of -2*s**5 + 3*s**4/2 + 22*s**3/3 - 3*s**2 - 2. Let a(v) = 4*j(v) - u(v). Factor a(g).
2*(g - 1)**2*(g + 1)*(7*g + 2)
Let n be 1*-6*(-2)/(-3). Let f(g) = g**3 + 3*g**2 - 4*g + 2. Let o be f(n). Determine d, given that 2*d**2 - 7*d**2 + 0*d**2 + 3*d + 2*d**o = 0.
0, 1
Let n(w) be the third derivative of w**8/30240 + w**7/3780 + w**5/60 + 4*w**2. Let c(i) be the third derivative of n(i). Factor c(a).
2*a*(a + 2)/3
Let l = 69 + -137/2. Suppose 0 = -0*d + 5*d - 25. Factor 3*x + d*x**3 - 6*x**2 - l - 3/2*x**4.
-(x - 1)**3*(3*x - 1)/2
Let k(n) = 5*n + 0 - 3 - 2 - 4*n**3. Let j(l) = l**2 - 1. Let g(b) = 5*b**3 + 6*b**2 - 6*b. Let d(h) = g(h) - 6*j(h). Let m(x) = -5*d(x) - 6*k(x). Factor m(r).
-r**3
Find v such that 570 + 3*v - 570 + 9*v**4 - 6*v**5 - 9*v**2 - 2*v**3 + 5*v**3 = 0.
-1, 0, 1/2, 1
Let q = -2/1841 - -34987/7364. Solve a**5 + 25/4*a**3 - q*a**2 - 4*a**4 - 1/4 + 7/4*a = 0.
1/2, 1
Let -32*h**2 - 27*h**2 + 55*h**2 + 6*h**3 + 11*h**4 - h**4 = 0. What is h?
-1, 0, 2/5
Let x = 14436848/40515 - 1/13505. Let o = x - 351. Factor 2/3 - 7/3*l**3 - 11/3*l + o*l**2.
-(l - 1)**2*(7*l - 2)/3
Let p = 145/3 + -47. Let b = 31 + -29. Let -1/3*u**5 + 4/3*u**4 + p*u**2 - b*u**3 - 1/3*u + 0 = 0. What is u?
0, 1
Let j(m) = -m**3 + 2*m**2. Let h = 2 - -1. Let o(r) = 0*r - 4*r + h*r. Let n(p) = j(p) + o(p). Find l such that n(l) = 0.
0, 1
Solve -4*m**2 - 16 - 4*m**2 + 7*m**2 - 8*m = 0 for m.
-4
Let x(m) = m**2 - 35*m + 290. Let i be x(13). Factor -2/9 + 4/9*y**2 - 2/9*y**i + 0*y**3 + 0*y.
-2*(y - 1)**2*(y + 1)**2/9
Let r = 2 + -14. Let b = 14 + r. Factor 2*q**b + 2/3*q**4 + 2*q**3 + 2/3*q + 0.
2*q*(q + 1)**3/3
Let k(u) = -u**2 - 5*u - 4. Let a(m) = -m**2 - 2*m. Let f be a(-3). Let l be k(f). Let -2/3*d + 0 - l*d**3 + 8/3*d**2 = 0. Calculate d.
0, 1/3, 1
Let x(v) be the third derivative of 33*v**8/28 - 2*v**7/7 - 47*v**6/15 + 28*v**5/15 + 4*v**4/3 + 7*v**2. Suppose x(b) = 0. Calculate b.
-1, -2/11, 0, 2/3
Let w = 3 - 1. Suppose -3*x + 28 = w*h, 5*x - 5*h + 2 - 7 = 0. Suppose -1 + 0*f + x*f - f**2 - 2*f - 2*f = 0. What is f?
1
Let g be ((-38)/4)/((-2)/4). Suppose 2*x = 3*f - 17, g = 2*f - x + 6. Solve -f*k + 2*k - 13*k**3 - 4*k**4 - 5 - 15*k**2 + 4 = 0 for k.
-1, -1/4
Let s(t) be the first derivative of t**5/390 + t**4/52 - t**2 - 5. Let a(f) be the second derivative of s(f). Let a(r) = 0. Calculate r.
-3, 0
Let j(b) be the second derivative of -b**6/360 - b**5/120 - b**3/3 + b. Let f(z) be the second derivative of j(z). Find q, given that f(q) = 0.
-1, 0
Let g(c) be the first derivative of c**4/2 - 2*c**3/3 + 2. Let g(v) = 0. What is v?
0, 1
Let a = -8 - -8. Let d be -3*(a - -1)/(-9). Find v, given that 1/3*v**2 + 2/3*v + d = 0.
-1
Let y(u) be the third derivative of u**8/100800 - u**6/3600 + u**5/60 - 3*u**2. Let k(w) be the third derivative of y(w). Factor k(a).
(a - 1)*(a + 1)/5
Let z(m) = -8*m**4 - 14*m**3 - m**2 + 5*m. Let s(y) = -y**4 - y**3 - y**2 + y. Let d(f) = 36*s(f) - 4*z(f). Solve d(c) = 0.
0, 1, 2
Let g(v) = -v - 1. Let r(l) = -l**3 - 5*l**2 + 2*l + 5. Let y be r(-5). Let x be g(y). Suppose 2*t**2 - 5 - x*t**4 - t**3 + t**5 + 5 + 2*t**4 = 0. Calculate t.
-1, 0, 1, 2
Let z(x) be the first derivative of -x**4/14 + 4*x**2/7 - 5. Find v such that z(v) = 0.
-2, 0, 2
Factor -2*n**2 - 2*n**2 + 7*n**2 - 10*n + 10*n**3 + 2*n**2 - 5*n**4.
-5*n*(n - 2)*(n - 1)*(n + 1)
Let -18/13*f - 96/13*f**4 + 4/13 - 128/13*f**5 - 58/13*f**2 + 296/13*f**3 = 0. What is f?
-2, -1/4, 1/4, 1
Suppose 5*a - 3*o + 5 = -0*o, 2*a + 2*o = 14. Factor -2/9 - 4/9*x**3 + 4/9*x + 2/9*x**4 + 0*x**a.
2*(x - 1)**3*(x + 1)/9
Let a be 22302/76*4/312. Let z = a - 3/247. Find i such that 21/4*i + z*i**3 - 3/4*i**4 - 3/2 - 27/4*i**2 = 0.
1, 2
Let k(p) be the first derivative of 5*p**6/48 + p**5/5 - p**4/8 + 20. Determine o, given that k(o) = 0.
-2, 0, 2/5
Let l(u) = -2*u**2. Let j(z) = z**3 - z**2 - z. Let s(a) = -4*j(a) + 2*l(a). Suppose s(x) = 0. What is x?
-1, 0, 1
Factor 12 + 6 + 8*y + 2*y**2 - 12.
2*(y + 1)*(y + 3)
Let c = -2/1531865 - -3227333184/1531865. Let x = -2096 + c. Factor 224/5*o + 64/5 + 32*o**2 - 144/5*o**3 + x*o**5 - 108/5*o**4.
2*(o - 2)**2*(3*o + 2)**3/5
Suppose -12 = -2*h - 2*h. Solve 3*r - 2*r - h*r**3 + 2*r**3 = 0.
-1, 0, 1
Let m(i) = i - 3. Let f be m(5). Determine t, given that -2 - 26*t**3 - 10*t + 8*t**f - 2 + 8 + 24*t**3 = 0.
1, 2
Let f(p) be the first derivative of 0*p**2 - 8 - 2/25*p**5 - 1/15*p**6 + 0*p + 2/15*p**3 + 1/10*p**4. Determine i so that f(i) = 0.
-1, 0, 1
Suppose 4*q + 7 - 19 = 0. Let x(f) = -f**3 - 2*f**2 + 3*f + 2. Let r be x(-3). Suppose -2*c**2 + 2*c**q + r*c**2 - 2*c = 0. What is c?
-1, 0, 1
Solve -4*n**5 - 8*n**3 + 32*n**3 - 32*n + 2*n**2 - 18*n**2 + 4*n**4 = 0.
-2, -1, 0, 2
Let s = -13/7 + 15/7. Solve 0*q**3 - 2/7*q**4 + 0 + s*q**2 + 0*q = 0.
-1, 0, 1
Let i be 6/(-4)*52/(-39). Find s, given that 1 + 10*s + 2*s**i - 8*s - s**2 = 0.
-1
Let h be -2 + (-6)/(-9) + (-5)/(-3). Suppose -h*k - 1/3*k**3 + 0 + 2/3*k**2 = 0. What is k?
0, 1
Let p = 3 + -7. Let u(r) = -7*r**4 + 5*r**3 + 2*r**2 - 5*r + 5. Let y(h) = 6*h**4 - 4*h**3 - 2*h**2 + 4*h - 4. Let w(z) = p*u(z) - 5*y(z). Factor w(t).
-2*t**2*(t - 1)*(t + 1)
Suppose -8*v - 4*o = -16, -4*o + 15 + 1 = -v. Factor 0 + v*m + 2/3*m**4 + 4/3*m**2 + 2*m**3.
2*m**2*(m + 1)*(m + 2)/3
Let p = 78 - 76. Determine g so that 4/9*g - 2/9 - 2/9*g**p = 0.
1
Let f be (6/18)/(2/24). Let t(a) be the first derivative of 2*a**2 - 1 - 5/2*a**f + 0*a + 2*a**3. Factor t(j).
-2*j*(j - 1)*(5*j + 2)
Let u(g) be the first derivative of g**5/10 + 3*g**4/8 - g**2 - 5. Factor u(x).
x*(x - 1)*(x + 2)**2/2
Let a(z) be the first derivative of 7*z**5/80 - z**4/2 + z**3/2 + z**2/2 - 4. Let q(d) be the second derivative of a(d). Factor q(p).
3*(p - 2)*(7*p - 2)/4
Suppose 0*c + 2*g - 129 = -5*c, -15 = -c - 4*g. Let f = c - 27. Let 27/2*o**2 + 24*o**4 + 3/2*o + 36*o**3 + f = 0. Calculate o.
-1, -1/4, 0
Let n be ((-4)/(-7))/((-14)/(-49)). Let i(l) be the first derivative of 3 - 2 - 2 - l**n - l**3. Suppose i(k) = 0. Calculate k.
-2/3, 0
Let f(z) = z + 8. Let i be f(0). Let p be 2/i + (-1)/(-4). Factor 1/2 - p*v**2 - 1/2*v + 1/2*v**3.
(v - 1)**2*(v + 1)/2
Suppose q - 10 = -4*q. Let r(l) be the second derivative of -1/27*l**3 + 1/54*l**4 + 0 - q*l + 0*l**2. Factor r(n).
2*n*(n - 1)/9
Let t(c) be the first derivative of -3/4*c**2 + 4 + 0*c**5 + 3/4*c**4 - 1/4*c**6 + 0*c**3 + 0*c. Factor t(k).
-3*k*(k - 1)**2*(k + 1)**2/2
Let h(g) be the second derivative of -g**7/2520 - g**6/1080 + g**5/360 + g**4/72 - g**3/3 - 3*g. Let r(s) be the second derivative of h(s). Factor r(z).
-(z - 1)*(z + 1)**2/3
Let 4*d - 11*d**2 + 17*d**4 - 5*d**2 + 7*d**4 + 4*d**3 = 0. Calculate d.
-1, 0, 1/3, 1/2
Let a(j) be the second derivative of 1/60*j**5 + 0 + j + 0*j**3 - j**2 - 1/12*j**4. Let p(g) be the first derivative of a(g). Factor p(k).
k*(k - 2)
Let j(r) be the first derivative of -2*r - 4 + 2/3*r**3 + 1/2*r**4 - r**2. Suppose j(p) = 0. What is p?
-1, 1
Suppose 4/3 + 10/3*q + 