(x + 1)/7
Let h(s) be the second derivative of s**9/7560 - s**8/1680 + s**7/1260 - s**4/12 - 2*s. Let o(i) be the third derivative of h(i). Factor o(p).
2*p**2*(p - 1)**2
Suppose -w + 12 = 3*w. Let -3*q + 3*q**2 + 3*q**w - 3*q**4 + 0*q**3 + 0*q**3 = 0. What is q?
-1, 0, 1
Factor 2/15*o**3 + 2/15*o**2 - 2/15 - 2/15*o.
2*(o - 1)*(o + 1)**2/15
Suppose -2*p - 1 = -2*j - 11, 5*p - 25 = j. Let r(g) = -2*g**2 + 11*g + 7. Let m be r(6). Suppose -2*y**2 - m + j + 1 = 0. Calculate y.
0
Let k(a) be the first derivative of -2*a - 2 - 1/24*a**4 + 1/12*a**3 + 0*a**2. Let v(t) be the first derivative of k(t). Factor v(y).
-y*(y - 1)/2
Let v(s) = 5*s**2 - 3*s + 4. Let i(r) = -r**2 + 9*r - 6. Let n be i(8). Let c = 4 + n. Let j(u) = 9*u**2 - 6*u + 7. Let o(f) = c*j(f) - 11*v(f). Factor o(b).
-(b + 1)*(b + 2)
Let a(f) = -f**2 + 11*f + 16. Let p be a(12). Suppose x**2 - p*x**5 + x**5 + 3*x**4 + 3*x**3 - 4*x**2 = 0. What is x?
-1, 0, 1
Let g(x) be the second derivative of 3*x + 0 - 1/6*x**3 + 1/120*x**5 + 1/48*x**4 - 1/2*x**2. Let u(i) be the first derivative of g(i). Factor u(r).
(r - 1)*(r + 2)/2
Let a(f) = -f**3 - f. Let w(g) = 15*g**4 + 41*g**3 + 30*g**2 + g - 5. Let y(d) = -a(d) - w(d). Determine p, given that y(p) = 0.
-1, 1/3
Suppose 15 = a - 5*x, 6 = 5*a - 8*a - 2*x. Factor a - 32/13*l**4 + 14/13*l**2 + 2/13*l + 16/13*l**3.
-2*l*(l - 1)*(4*l + 1)**2/13
Let i = 3 + 1. Let c(y) = y**3 - y**2 + 2*y - 3. Let s be c(2). Solve s*o**2 + o + o - i*o**4 - o**2 - 2*o**5 = 0.
-1, 0, 1
Suppose 2*z - 1 = -4*r + 3, -2*r + 4*z + 12 = 0. Suppose -1 = -r*x + 5. Determine u, given that 0 + 2/7*u**x - 2/7*u**5 + 0*u**4 + 0*u + 0*u**2 = 0.
-1, 0, 1
Factor 9/4 + 1/4*m**2 + 3/2*m.
(m + 3)**2/4
Suppose -5*h = -4*h. Let d = h + 3. Factor 6*q**4 + q**2 - 5*q**2 - 2*q**3 + 4*q**d.
2*q**2*(q + 1)*(3*q - 2)
Let q be 54/297 + (546/(-88))/(-3). Determine g, given that -3/4*g**4 + 0*g**3 + 0 + q*g**2 - 3/2*g = 0.
-2, 0, 1
Let f = -15 + 15. Suppose f = -0*m - 2*m. Solve 5/4*c**4 - 7/4*c**3 + 1/2*c**2 + m*c + 0 = 0 for c.
0, 2/5, 1
Let o(g) = 20 - 3*g**2 + g - 5*g - 22 - g**3. Let z be o(-2). Find d, given that 3/5*d**3 + 0*d + 0 + 1/5*d**z + 1/5*d**5 + 3/5*d**4 = 0.
-1, 0
Let j = -4891/10 - -36694/75. Let b = 8/25 - j. Suppose 0 + b*o - 1/6*o**2 = 0. Calculate o.
0, 1
Let d(i) = i + 10. Let a = -20 + 12. Let j be d(a). Factor s**5 + s**5 - 6*s**3 + 4*s + 5*s**4 - 3*s**4 - 2*s**j.
2*s*(s - 1)**2*(s + 1)*(s + 2)
Let o = 2/3 - 0. Let f(c) be the first derivative of -o*c**3 + 1/2*c**2 - 1 + 0*c + 1/4*c**4. Factor f(d).
d*(d - 1)**2
Let w = -26/35 - -584/315. Suppose -24*p + 25*p - 2 = 0. Determine u, given that w*u**3 - 14/9*u**p + 4/9*u + 0 = 0.
0, 2/5, 1
Let g be (-4)/(-32)*1618 + -3. Let v = g - 198. Suppose 0 + v*l**3 + 7/4*l**2 - 1/2*l - 15/4*l**5 - 19/4*l**4 = 0. Calculate l.
-1, 0, 1/3, 2/5
Let x(w) be the third derivative of -w**7/70 - w**6/20 + w**2. Factor x(b).
-3*b**3*(b + 2)
Suppose -5*w - 1 = -21. Let q(i) be the first derivative of i + 0*i**3 - 1/5*i**5 - 1 - i**2 + 1/2*i**w. Solve q(u) = 0.
-1, 1
Suppose 5*n + 9 + 11 = 0, -4*u - 3*n = 0. Factor 1/3*k**2 + u - 2*k.
(k - 3)**2/3
Let b(m) be the first derivative of 45*m**4/4 - 35*m**3/3 - 5*m**2 - 17. Factor b(a).
5*a*(a - 1)*(9*a + 2)
Let w(x) be the second derivative of x**10/10080 - x**9/5040 + 5*x**4/6 + 11*x. Let g(p) be the third derivative of w(p). Find b, given that g(b) = 0.
0, 1
Let o(w) be the third derivative of w**6/105 - w**5/210 + 41*w**2. Factor o(s).
2*s**2*(4*s - 1)/7
Let v(y) = y**2 - 4*y - 4. Let j(k) = -k + 1. Let c be j(-4). Let z be v(c). What is t in z - 1 - 2*t**2 - 2*t = 0?
-1, 0
Solve -8/5 - 2/5*a**3 - 16/5*a - 2*a**2 = 0.
-2, -1
Suppose -29*o = -32*o + 6. Factor 5/2*i + 2*i**o + 1/2*i**3 + 1.
(i + 1)**2*(i + 2)/2
Let g be 6/30 - (-14)/30. Factor g*u**2 + 2/3*u**4 + 0*u - 4/3*u**3 + 0.
2*u**2*(u - 1)**2/3
Let s = 17 - 15. Factor 2*z**3 - 60*z**4 - 3*z**2 - 5*z**s - 94*z**4 - 66*z**3 - 98*z**5.
-2*z**2*(z + 1)*(7*z + 2)**2
Let f(i) be the second derivative of -i**4/120 - i**3/15 - 3*i**2/20 - 32*i. Suppose f(w) = 0. What is w?
-3, -1
Let k = -136 + 136. Factor k - 1/6*q - 1/6*q**2.
-q*(q + 1)/6
Let c = 778 + -5420/7. Determine u, given that 4/7 + 48/7*u**2 - 34/7*u**3 + 8/7*u**4 - c*u = 0.
1/4, 1, 2
Let z(d) be the second derivative of -1/12*d**3 - 1/40*d**5 + 0*d**2 + 0 - 1/12*d**4 - 4*d. Factor z(k).
-k*(k + 1)**2/2
Let w(t) be the first derivative of 7*t**4/2 + 4*t**3/3 - 7*t**2 - 4*t + 5. Factor w(v).
2*(v - 1)*(v + 1)*(7*v + 2)
Let q(f) be the first derivative of 2*f**5/15 - 2*f**3/3 - 2*f**2/3 + 15. Factor q(k).
2*k*(k - 2)*(k + 1)**2/3
Let f(a) be the second derivative of a**8/720 + a**7/504 - a**6/120 - a**5/72 + a**4/36 - a**3 - 3*a. Let o(x) be the second derivative of f(x). Factor o(g).
(g - 1)*(g + 1)**2*(7*g - 2)/3
Suppose 2*j - 12 = -6. Let z(l) be the second derivative of 0 - 1/48*l**4 - 1/8*l**2 + 1/12*l**j - 2*l. Factor z(g).
-(g - 1)**2/4
Let y(q) be the second derivative of q**6/165 - q**5/55 + q**4/66 - 14*q. What is f in y(f) = 0?
0, 1
Let i(t) be the first derivative of -1/3*t**2 + 3 + 0*t**3 + 0*t + 1/6*t**4. Solve i(u) = 0.
-1, 0, 1
Let i be 23/(-15) + 6 + (-1)/(-5). Factor 4/3 + 2/3*r + 38/3*r**3 - 10*r**2 - i*r**4.
-2*(r - 1)**3*(7*r + 2)/3
Let y(u) = u + 13. Let f be y(-11). Let o(b) be the first derivative of 1/9*b**3 + 2 + 0*b + 1/6*b**4 + 0*b**f. Find h such that o(h) = 0.
-1/2, 0
Let u(v) = -9*v**5 - 11*v**4 + 4*v**5 + v - 4*v**3 - 5*v**2 - 5*v**3. Let l(z) = -4*z**5 - 10*z**4 - 10*z**3 - 6*z**2. Let b(y) = 3*l(y) - 2*u(y). Factor b(w).
-2*w*(w + 1)**4
Let g = -28559/84 - -340. Let c(i) be the second derivative of 0*i**2 + 0*i**3 + 1/20*i**6 + 1/24*i**4 + 3*i + 0 + g*i**7 + 3/40*i**5. What is a in c(a) = 0?
-1, 0
Suppose 2*j - 11*i + 7*i = 22, 0 = -j - 5*i - 17. Factor 0*o**2 + 1/5*o**j + 0 - 1/5*o**5 + 0*o + 0*o**4.
-o**3*(o - 1)*(o + 1)/5
Let n(f) be the second derivative of -f**6/10 - 9*f**5/20 - f**4/4 + 3*f**3/2 + 3*f**2 + f. Find q, given that n(q) = 0.
-2, -1, 1
Let w(n) be the second derivative of 1/54*n**4 + 0*n**3 + 4*n + 0 - 1/9*n**2. Let w(a) = 0. What is a?
-1, 1
Let n(c) = 8*c**2 - 2*c - 2. Let y be n(2). Let u be y/24 + (-2)/(-3). Suppose -7/4*l + u*l**3 + 1/2 - 1/2*l**2 = 0. Calculate l.
-1, 2/7, 1
Let 12/5 - 3/5*k**2 + 0*k = 0. Calculate k.
-2, 2
Let a(c) be the second derivative of -1/21*c**7 - 1/10*c**5 + 0*c**4 + 0*c**2 + 0*c**3 + 0 + 6*c - 2/15*c**6. Find v such that a(v) = 0.
-1, 0
Let g = 73400 - 10496130/143. Let d = g - 4/13. Let -2/11*u**2 - d*u**3 + 0*u + 0 = 0. What is u?
-1, 0
Let b(t) be the second derivative of t**6/15 - t**5/5 + 2*t**3/3 - t**2 - 13*t. Factor b(z).
2*(z - 1)**3*(z + 1)
Factor 24 + 16*t**2 - 117*t**3 - 44*t - 107*t**3 + 228*t**3.
4*(t - 1)**2*(t + 6)
Let z(m) be the first derivative of -21*m**4/4 - 44*m**3 - 141*m**2/2 - 30*m - 7. Factor z(i).
-3*(i + 1)*(i + 5)*(7*i + 2)
Find p such that 3*p**4 - p**3 - 3*p + 4*p**5 + 5*p - 5*p**5 - 3*p**2 + 0*p**4 = 0.
-1, 0, 1, 2
Let s = 24 + -14. Suppose -s = -7*k + 2*k. Suppose -2/7*q + 2/7*q**k - 4/7 = 0. What is q?
-1, 2
Factor 4/3*c**2 + 0 + 2/3*c.
2*c*(2*c + 1)/3
Let u = -7816 + 257948/33. Let m(v) be the first derivative of 2/11*v**4 + 1/11*v**2 - 5/33*v**6 + 3 + u*v**3 - 16/55*v**5 - 4/11*v. Find j such that m(j) = 0.
-1, 2/5, 1
Let i(m) = -m**3 - m - 4*m - 2*m**2 + m. Let c be 3 + -3 - 1 - 2. Let j(s) = s. Let b(v) = c*j(v) - i(v). Suppose b(k) = 0. What is k?
-1, 0
Let k(h) be the second derivative of h**5/210 + h**4/42 + 7*h**2/2 - 9*h. Let w(z) be the first derivative of k(z). Factor w(x).
2*x*(x + 2)/7
Let x(y) be the second derivative of -y**4/96 - y**3/12 + 5*y**2/16 + 17*y. Factor x(n).
-(n - 1)*(n + 5)/8
Let l(g) be the third derivative of g**8/63 - 2*g**7/63 - g**6/30 + g**5/9 - g**4/18 - 4*g**2. Let l(m) = 0. What is m?
-1, 0, 1/4, 1
Let l(h) be the first derivative of 3*h**4/4 + 6*h**3 + 27*h**2/2 + 24. Factor l(v).
3*v*(v + 3)**2
Let p(i) be the second derivative of -i**5/180 + i**4/24 - i**3/9 - 3*i**2/2 + i. Let b(a) be the first derivative of p(a). Determine h so that b(h) = 0.
1, 2
Suppose -3*j + 4*j + 24 = 0. Let y = 73/3 + j. Factor 0*m**3 - 1/3*m**4 + 0*m - y + 2/3*m**2.
-(m - 1)**2*(m + 1)**2/3
Let t(j) = j**3 + 2*j**2 - 3*j + 2. Let x = -9 + 6. Let c be 