?
-1, 2
Let u(t) be the second derivative of t**6/12 - 5*t**5/8 - 35*t**4/24 + 25*t**3/12 + 15*t**2/2 - 28*t. Solve u(f) = 0 for f.
-1, 1, 6
Let b(u) be the second derivative of 1/54*u**4 + 0 + 1/9*u**2 - 3*u - 2/27*u**3. Factor b(f).
2*(f - 1)**2/9
Let u(q) be the third derivative of 5*q**2 + 1/45*q**5 - 1/180*q**6 - 1/36*q**4 + 0*q + 0 + 0*q**3. Factor u(l).
-2*l*(l - 1)**2/3
Let t(v) be the first derivative of -2*v**5/35 + 2*v**3/7 - 2*v**2/7 - 3. Suppose t(d) = 0. What is d?
-2, 0, 1
Let d(g) be the third derivative of g**8/3360 + g**7/1680 + g**3/2 - 3*g**2. Let l(z) be the first derivative of d(z). Factor l(v).
v**3*(v + 1)/2
Let g(r) = -2*r**2 + 5*r + r - 6*r. Let p(k) = 21*k**2 + k. Let d(o) = -22*g(o) - 2*p(o). Factor d(c).
2*c*(c - 1)
Let g(d) be the second derivative of 0*d**3 + 2*d + 1/60*d**5 + 0 - 1/18*d**4 + 0*d**2. Solve g(p) = 0 for p.
0, 2
Factor 4/15 - 2/5*y + 2/15*y**2.
2*(y - 2)*(y - 1)/15
Let r(g) = -2*g**4 - 4*g**2 + 8*g - 6. Let b(n) = -3*n**4 + 9*n - 2*n**2 - 7 - 2*n**3 + 3*n**3 - 3*n**2. Let w(f) = 4*b(f) - 5*r(f). Factor w(m).
-2*(m - 1)**3*(m + 1)
Let u = -7 + 11. Let q(w) be the first derivative of w**2 + 2/3*w**3 + u + 0*w. Find n such that q(n) = 0.
-1, 0
Let x(v) = -v**2 - 5*v - 4. Suppose 16 = f - 5*f. Let j be x(f). Suppose 1/3*p**3 + 0*p**2 + j*p + 0 = 0. Calculate p.
0
Let u(k) be the second derivative of k**4/18 - 4*k**3/9 + 4*k**2/3 - 9*k. Factor u(a).
2*(a - 2)**2/3
Suppose -2/5*c**3 + 8/5*c - 8/5*c**2 + 2/5*c**4 + 0 = 0. What is c?
-2, 0, 1, 2
Let q(w) be the second derivative of -w**4/54 + w**3/9 + 2*w - 2. Factor q(y).
-2*y*(y - 3)/9
Let h(l) be the third derivative of 5*l**8/224 - l**7/84 - l**6/8 + l**5/12 + 5*l**4/16 - 5*l**3/12 + 8*l**2. Determine a so that h(a) = 0.
-1, 1/3, 1
Let g(y) be the second derivative of -y**2 - 6*y + 0 - 1/6*y**4 - 5/6*y**3. Solve g(a) = 0 for a.
-2, -1/2
Let b = -75 + 80. Let l(i) be the second derivative of 0 + 1/4*i**4 + 2*i + 3/20*i**b - 1/10*i**6 + 0*i**2 - 1/2*i**3. Find o such that l(o) = 0.
-1, 0, 1
Let c(k) be the first derivative of k**5/190 + k**4/114 - 3*k + 6. Let m(g) be the first derivative of c(g). Factor m(l).
2*l**2*(l + 1)/19
Let 0*o + 3/4*o**2 + 0 = 0. What is o?
0
Let j(p) be the second derivative of 4/15*p**3 + 0 + 4/5*p**2 + 1/30*p**4 - 5*p. Let j(k) = 0. What is k?
-2
Let t(s) be the first derivative of 0*s - 1 + 1/2*s**2 - 1/12*s**4 - 1/90*s**5 - 2/9*s**3. Let f(o) be the second derivative of t(o). Solve f(w) = 0.
-2, -1
Let s(a) be the second derivative of -a**5/60 - a**4/12 - a**3/9 + 18*a. Let s(f) = 0. Calculate f.
-2, -1, 0
Let i(v) be the first derivative of -v**6/6 - 2*v**5/5 + 3*v**4/4 + 8*v**3/3 + 2*v**2 + 7. What is w in i(w) = 0?
-2, -1, 0, 2
Factor i**2 + 5 + 4 - 5 - 4*i.
(i - 2)**2
Let u(q) be the second derivative of -4/15*q**6 + 0 - 2/3*q**3 + 0*q**5 + 10*q + 2/3*q**4 + 0*q**2 + 2/21*q**7. Factor u(l).
4*l*(l - 1)**3*(l + 1)
Let j be (8/(-2))/(-2 + 4 + -4). Suppose 3*y = p - 2, 0*p + 8 = 4*p + 5*y. Let -p*s**5 + 5*s**4 + 3*s**j - 5*s**2 - 3*s**4 + 2*s**3 = 0. Calculate s.
-1, 0, 1
Suppose 2*r = -0*r. Factor 0*a**2 + r*a**2 - 3*a + 3 - a**2 - 5.
-(a + 1)*(a + 2)
Let 0 - 2/9*q**3 + 4/9*q**2 + 0*q = 0. What is q?
0, 2
Suppose 4*t = 3*t + 3. Factor -2*i**3 + i**4 - 2*i**3 + i**t + 0*i**5 + i**5 + 2*i - i**2.
i*(i - 1)**2*(i + 1)*(i + 2)
Let g(o) be the second derivative of -2/3*o**3 + 7/10*o**5 + 0 + 0*o**2 + 5/6*o**4 + 2*o. Determine h, given that g(h) = 0.
-1, 0, 2/7
Let o(c) be the first derivative of 3*c**6/55 + 12*c**5/55 + 13*c**4/66 + 2*c**3/33 + 3*c - 2. Let m(k) be the first derivative of o(k). Factor m(n).
2*n*(n + 2)*(3*n + 1)**2/11
Let n be (-480)/(-2288) + -1 + 30/26. Let m be 3/(-11)*4/(-6). Factor -4/11*r + 0*r**2 + m*r**4 - 2/11 + n*r**3.
2*(r - 1)*(r + 1)**3/11
Find t such that -1/4*t**3 + 0*t - 3/4*t**2 + 1 = 0.
-2, 1
Let a = -2/467 - -952/4203. Let 0*r**2 + 2/9*r**3 + 0 + 0*r - 4/9*r**5 + a*r**4 = 0. What is r?
-1/2, 0, 1
Let k = 908/15 - 111/5. Let w = -38 + k. Solve 0*s - w*s**2 + 1/3 = 0.
-1, 1
Let s be 2*-1*3/(-9). Factor -2/3*n + 4/3*n**3 + 0*n**4 + 0*n**2 + 0 - s*n**5.
-2*n*(n - 1)**2*(n + 1)**2/3
Let y(f) be the third derivative of f**5/600 + f**4/120 - 19*f**2. Determine a, given that y(a) = 0.
-2, 0
Let w(y) = -60*y**4 + 275*y**3 - 335*y**2 + 155*y. Let h(n) = 5*n**4 - 23*n**3 + 28*n**2 - 13*n. Let c(z) = 35*h(z) + 3*w(z). Factor c(b).
-5*b*(b - 2)*(b - 1)**2
Let c = 3 - -657. Let q be 4/(-22) - (-3288)/c. Suppose 2/5*z**3 + 16/5 + q*z + 12/5*z**2 = 0. What is z?
-2
Solve 2/11*h + 0 - 2/11*h**2 + 2/11*h**4 - 2/11*h**3 = 0.
-1, 0, 1
Suppose 4*c - v + 6 = 6*c, -9 = -3*c - 2*v. Let -9*s**4 + 5*s**3 + 4*s**c + 3*s**5 + 0*s**5 - 3*s**2 = 0. Calculate s.
0, 1
Find f such that 0 - 2/3*f + 2/3*f**3 - 2/3*f**4 + 2/3*f**2 = 0.
-1, 0, 1
Let l(d) = -19*d**3 - 33*d**2 - 21*d - 4. Suppose 0 = 6*w - 2*w - 12. Let u(g) = -37*g**3 - 67*g**2 - 43*g - 8. Let c(m) = w*u(m) - 5*l(m). Factor c(s).
-4*(s + 1)**2*(4*s + 1)
Let y(w) = -w**2 + 7*w + 3. Let d be y(7). Suppose k - d*k + 4 = 0. Factor 0*u + 0 + 2/3*u**k.
2*u**2/3
Let b be 45/75 - 12/(-5). Let q = -1 - -3. Determine d so that 0 + 3/5*d + 27/5*d**b - 12/5*d**4 - 18/5*d**q = 0.
0, 1/4, 1
Let l(n) be the second derivative of -1/27*n**3 + 2/9*n**2 - 6*n + 1/90*n**5 + 0 - 1/27*n**4. Factor l(s).
2*(s - 2)*(s - 1)*(s + 1)/9
Let t(m) be the second derivative of m**6/6 - 13*m**5/4 + 20*m**4 - 30*m**3 - 17*m. Find c such that t(c) = 0.
0, 1, 6
Suppose -5*x + 11 = -i, 0*i + 5 = 2*i - x. Solve -4*l**i + l**3 - l**4 + 2*l**4 + 2*l**4 = 0.
0, 1
Let y(x) = -x**2 - 8*x + 9. Let t be y(-9). Suppose t*n = n - 5. Factor 0*r + 0*r**2 + 0 + 1/2*r**3 + r**4 + 1/2*r**n.
r**3*(r + 1)**2/2
Suppose -5*m - 15 = 0, -5*x - 3*m - 34 = -10. Let r = x - -3. Factor -h + 2*h**2 - h + r*h.
2*h*(h - 1)
Let p(o) be the third derivative of o**6/80 + 7*o**5/120 - o**4/8 + 27*o**2 - 1. Factor p(h).
h*(h + 3)*(3*h - 2)/2
Let x(b) = -b**2 - b - 1. Let m = -8 - -4. Let p be m/10 + 3/(-5). Let k(w) = 5*w**2 + 4*w + 5. Let q(t) = p*k(t) - 6*x(t). Factor q(f).
(f + 1)**2
Determine a, given that 0 - 5 + 5 - 5*a + 5*a**2 = 0.
0, 1
Factor -39*p**3 - 3*p**5 - 36*p**2 - 17*p - 4*p**4 - 8*p**4 + 5*p - 6*p**4.
-3*p*(p + 1)**2*(p + 2)**2
Let b(o) = 121*o**2 - 46*o + 1. Let l(k) = 120*k**2 - 45*k. Let j(q) = 5*b(q) - 4*l(q). Factor j(r).
5*(5*r - 1)**2
Let i(g) be the first derivative of g**5/20 - g**4/8 - g**3 + g**2/2 + 1. Let h(z) be the second derivative of i(z). Factor h(k).
3*(k - 2)*(k + 1)
Let l(r) be the third derivative of r**7/1785 - r**6/1020 - r**5/510 + r**4/204 - 6*r**2. What is n in l(n) = 0?
-1, 0, 1
Suppose 3 = 5*g - 27. Suppose -b + 0 = -7. Solve -b*p**2 + 0*p**5 + 4*p**5 - g*p**4 + p + 15*p**3 - 7*p**4 = 0.
0, 1/4, 1
Let g(w) be the second derivative of w**9/41580 + w**8/12320 + w**7/13860 + 5*w**4/12 + 5*w. Let s(q) be the third derivative of g(q). Factor s(x).
2*x**2*(x + 1)*(2*x + 1)/11
Let t(o) = -17*o - 1. Let h be t(3). Let l = h + 368/7. Factor -l + 4/7*v**2 + 6/7*v.
2*(v + 2)*(2*v - 1)/7
Let h(b) = -7*b**2 - 5*b - 4. Let w(r) = -15*r**2 - 9*r - 7. Let j(v) = 13*h(v) - 6*w(v). Suppose j(a) = 0. Calculate a.
-10, -1
What is t in -2*t - 2/3*t**3 + 0 - 8/3*t**2 = 0?
-3, -1, 0
Let t(f) be the second derivative of f**4/4 - f**3 - 9*f**2/2 + f. Factor t(p).
3*(p - 3)*(p + 1)
Suppose -3*h = -3*t + 15, -2*t + 2*h = 3*h + 5. Solve -2/11*f**3 + 0*f + t*f**2 + 0 - 4/11*f**4 - 2/11*f**5 = 0.
-1, 0
Let b(p) be the third derivative of p**9/3024 + p**8/1680 - p**3/2 + p**2. Let s(u) be the first derivative of b(u). What is j in s(j) = 0?
-1, 0
Suppose 0*z + 7*z = 0. Suppose z = -0*i + 3*i - 6. Factor -4/3*a**i + 2/9*a**3 + 8/3*a - 16/9.
2*(a - 2)**3/9
Let l(j) be the first derivative of -j**4/6 - 2*j**3/3 + 2*j**2 + 16*j/3 - 3. Factor l(z).
-2*(z - 2)*(z + 1)*(z + 4)/3
Let j(y) = -6*y**4 - 9*y**3 + 30*y**2 + 45*y + 12. Let i(w) = w**3 + w**2 - w - 1. Let n(q) = 6*i(q) - j(q). Solve n(u) = 0.
-3, -1, -1/2, 2
Suppose 2*c + 6 + 6 = 2*i, -i + 2 = 3*c. Suppose 3*o - 21 = -3*a, -i*a = 3*o - o - 20. Let -1/4*q**3 - 3/4*q**a + 1 + 0*q = 0. Calculate q.
-2, 1
Let o(w) = 3*w**3 - 6*w**2 + 2*w - 2. Let l(f) = f**3 - f**2 + f. Let b(x) = 2*l(x) - o(x). Let c be b(4). Factor c - j**2 - 1 + 2*j**2 - 2*j.
(j - 1)**2
Let s