?
-1, 0, 1
Let y(d) be the first derivative of d**6/15 + 2*d**5/5 + 5*d**4/6 + 2*d**3/3 - 4*d + 4. Let g(z) be the first derivative of y(z). Factor g(w).
2*w*(w + 1)**2*(w + 2)
Let g(i) be the second derivative of i**8/168 + i**7/105 - i**6/60 - i**5/30 - i**2/2 - 3*i. Let x(a) be the first derivative of g(a). Factor x(o).
2*o**2*(o - 1)*(o + 1)**2
Let w(k) = -3*k - 3. Let p be w(-3). Factor p*d - 4*d**4 - 12*d**3 - d**2 + 0*d + 2*d + 4*d**5 + 5*d**2.
4*d*(d - 2)*(d - 1)*(d + 1)**2
Let z be ((-2)/(-7))/(2/4). Factor -2/7*c**4 + 4/7*c + 0*c**2 - z*c**3 + 2/7.
-2*(c - 1)*(c + 1)**3/7
Let f(y) be the third derivative of y**8/1680 + 2*y**7/525 + y**6/120 + y**5/150 - 31*y**2. Factor f(s).
s**2*(s + 1)**2*(s + 2)/5
Let m = -1/5 + 7/10. Suppose 0 = -4*y + 4 - 4. Factor 0*i - m*i**2 + y.
-i**2/2
Let s(j) be the first derivative of -j**4/8 + j**3/3 - j**2/4 - 3. Factor s(d).
-d*(d - 1)**2/2
Suppose 2/7*x**3 + 0*x**2 + 0 - 2/7*x = 0. Calculate x.
-1, 0, 1
Let v(a) be the third derivative of -a**6/40 - 3*a**5/20 - 28*a**2. Factor v(f).
-3*f**2*(f + 3)
Suppose 3*w - w = 0. Let i = 54/13 - 95/26. Factor i*l + 1/2*l**2 + w.
l*(l + 1)/2
Let s(n) be the first derivative of n**4/2 + 2*n**3 - 8*n - 17. Determine f so that s(f) = 0.
-2, 1
Let u be ((-6)/(-63))/((-1)/(-3)). What is w in 2/7*w - 2/7*w**2 - u*w**3 + 2/7 = 0?
-1, 1
Let p(z) = -z**3 + 5*z**2 + z. Let b be p(5). Determine y so that -y**4 + 3*y**2 - 4 - 3*y**4 + 4*y + b*y**2 + 4*y**5 - 8*y**3 = 0.
-1, 1
Let c(r) be the third derivative of r**6/36 - 2*r**5/15 + r**4/9 + 44*r**2. Suppose c(l) = 0. What is l?
0, 2/5, 2
Let b be ((-3)/6)/((-86)/966). Let a = b + -5/43. Find w such that -7/2*w**5 + 8*w**4 + 0*w + w**2 + 0 - a*w**3 = 0.
0, 2/7, 1
Suppose 5*q + 2 = 6*q. Let r(v) = -3*v**2 - 1. Let i(h) = -13*h**2 + h - 4. Let u(t) = q*i(t) - 9*r(t). Determine f so that u(f) = 0.
-1
Suppose 805*k = 797*k + 24. Factor -2/9*f**k + 0 - 2/9*f - 4/9*f**2.
-2*f*(f + 1)**2/9
Let a be 4/6*6 + -1. Suppose -31*n**a - n**2 + 0 + 34*n**3 + 0 = 0. Calculate n.
0, 1/3
Let c(d) be the third derivative of d**9/211680 - d**8/70560 + d**5/15 + 3*d**2. Let a(g) be the third derivative of c(g). What is r in a(r) = 0?
0, 1
Suppose 0*s + 3*s - 2*s = 0. Let p(f) be the third derivative of 0*f**4 - 1/10*f**5 + 4/3*f**3 + s*f - 1/60*f**6 - f**2 + 0. Factor p(z).
-2*(z - 1)*(z + 2)**2
Let v(u) = u**2 + 6*u - 5. Suppose 0 = 2*x + x + 21. Let l be v(x). Factor 2*y**5 - 3*y**2 + y**2 + 0*y**5 - l*y**3 + 2*y**4.
2*y**2*(y - 1)*(y + 1)**2
Let v(f) = f**3 + 8*f**2 + 6*f - 5. Let u be v(-7). Suppose l - u*l = 0. Factor l*k**2 + 4/9*k**4 + 2/9*k**5 + 2/9*k**3 + 0*k + 0.
2*k**3*(k + 1)**2/9
Let k be (-20)/(-5) + 3 - 3. Solve -16/7*d - 16/7*d**2 + 12/7*d**k + 20/7*d**3 + 0 = 0.
-2, -2/3, 0, 1
Suppose 2/7*y + 0 + 4/7*y**2 + 2/7*y**3 = 0. Calculate y.
-1, 0
Suppose 5*z + 27 = r, -5*z - 5 = 3*r + 14. Let l be ((-6)/72)/(r/(-8)). What is s in -4/3*s**5 + 0*s + l - 20/3*s**3 - 10/3*s**2 - 5*s**4 = 0?
-1, 1/4
Determine k, given that -4*k**5 - 5*k**4 - 2 + 0*k**3 - 11*k**4 + 8*k**2 + 4*k**3 + 10*k**4 = 0.
-1, 1/2, 1
Let t be ((1 - 1)/3)/2. Let k(o) be the second derivative of 0 + 1/18*o**3 + 0*o**2 - 1/60*o**5 - 3*o + t*o**4. Find z, given that k(z) = 0.
-1, 0, 1
Let d(h) be the third derivative of -h**6/30 + 2*h**5/15 - h**4/6 + 4*h**2. Factor d(z).
-4*z*(z - 1)**2
Factor -2*w**3 - 10*w**4 + 10*w**3 + 6*w**5 - 2*w**5 - 2*w**2.
2*w**2*(w - 1)**2*(2*w - 1)
Let w = 106201/26 - 4084. Let b = w - 2/13. Factor 0 - 1/2*q**2 + 0*q - b*q**3.
-q**2*(q + 1)/2
Let x = 0 + 2. Suppose d - 25 = -5*p + 2, -d + p = 3. Factor z**x + 6*z - 4*z - 1 - 2*z**d.
-(z - 1)**2
Let s(b) = 2*b**2 - 3*b - 2. Suppose -u + 4 = -3*o, 4*o = -u + 2*u - 7. Let r(y) = y - 7. Let j be r(6). Let q(n) = n. Let a(k) = j*s(k) + o*q(k). Factor a(m).
-2*(m - 1)*(m + 1)
Let l(m) = -m**2 - 1. Let d(f) = -3*f**2 + 3*f - 6. Let i(r) = d(r) - 6*l(r). Factor i(s).
3*s*(s + 1)
Let -1/6 - 1/3*t - 1/6*t**2 = 0. Calculate t.
-1
Let k(u) be the second derivative of u**5/60 - u**4/12 + u**3/6 - u**2/6 + 5*u. Factor k(x).
(x - 1)**3/3
Let f(k) be the third derivative of -k**7/945 + k**6/540 + k**5/135 - 7*k**2. Factor f(c).
-2*c**2*(c - 2)*(c + 1)/9
Let o(w) be the first derivative of -w**5/270 - w**4/54 + w**3/9 + w**2 - 5. Let z(h) be the second derivative of o(h). Factor z(s).
-2*(s - 1)*(s + 3)/9
Let o(m) = m**2 + 1. Let g(k) = -5*k**2 + 0*k**2 - 6 - 3*k**2. Let h(v) = -g(v) - 6*o(v). Determine f, given that h(f) = 0.
0
Suppose 3*r - 7*r = -8. Factor -3*g + 5 + g**r + 3*g - 7 - g.
(g - 2)*(g + 1)
Let g(n) be the second derivative of n**5/180 + n**4/36 + 5*n**2/2 - n. Let i(d) be the first derivative of g(d). Factor i(t).
t*(t + 2)/3
Let k(z) = -z**2 - 9*z. Let s be k(-9). Factor 4*n**3 - 4 - n - 3*n + 2 + 2*n**4 + s.
2*(n - 1)*(n + 1)**3
Let b(v) = 37*v + 185. Let i be b(-5). Solve -2/9*r**4 + i*r**3 + 0*r - 2/9 + 4/9*r**2 = 0 for r.
-1, 1
Let b(i) be the first derivative of 0*i - 1 + 0*i**4 - i**3 + 0*i**5 - 1/1080*i**6 + 0*i**2. Let o(p) be the third derivative of b(p). Factor o(g).
-g**2/3
Suppose 0 = -12*r + 6*r. Determine z so that 2/9*z**2 + 0*z + r + 2/9*z**3 = 0.
-1, 0
Let v(l) = l**3 + l**2 - l - 1. Let o(h) = 5*h**3 - 17*h**2 + 47*h - 3. Let i(m) = o(m) - 3*v(m). Let i(t) = 0. What is t?
0, 5
Let w be (-3 + 3/1)*-1. Factor -7*n**5 - 7*n**3 + 5*n**3 + w*n**3 - 9*n**4.
-n**3*(n + 1)*(7*n + 2)
Let f(l) be the third derivative of -l**9/37800 + l**4/24 - 3*l**2. Let s(t) be the second derivative of f(t). Factor s(n).
-2*n**4/5
Suppose -3*r - r + 4 = 0. Let q(l) = -l - l**2 + 3 - 4 + 0*l**2. Let u(y) = -y**2 - y - 3. Let v(p) = r*u(p) - 3*q(p). Let v(c) = 0. What is c?
-1, 0
Find v, given that -2/9*v + 2/9*v**3 + 2/3*v**2 - 4/9 - 2/9*v**4 = 0.
-1, 1, 2
Let i = 29/9 + -16/5. Let d(g) be the third derivative of 0*g - 2*g**2 - 1/24*g**4 - i*g**5 + 0 + 1/18*g**3. Factor d(x).
-(x + 1)*(4*x - 1)/3
Let z(s) be the second derivative of -1/24*s**4 + 0 + 6*s - 3/40*s**5 + 0*s**3 - 1/84*s**7 + 0*s**2 - 1/20*s**6. Factor z(r).
-r**2*(r + 1)**3/2
Let r(o) be the third derivative of -o**7/315 + o**6/90 + 11*o**5/90 - o**4/3 - 4*o**3 - 23*o**2. Factor r(y).
-2*(y - 3)**2*(y + 2)**2/3
Let p be 1*((-12)/(-5) + (-6)/15). Let z(y) be the first derivative of -1/3*y**2 - y**3 + p + 7/18*y**6 - 5/12*y**4 + 0*y + 3/5*y**5. Solve z(w) = 0 for w.
-1, -2/7, 0, 1
Determine m, given that 0 - 1/3*m**2 - 1/3*m**4 + 0*m - 2/3*m**3 = 0.
-1, 0
Factor 0 - 1/6*a**4 + 1/6*a**3 + 0*a - 1/6*a**5 + 1/6*a**2.
-a**2*(a - 1)*(a + 1)**2/6
Factor 220*c**2 - 224*c**2 - 16*c**4 + 7*c**3 + 13*c**3.
-4*c**2*(c - 1)*(4*c - 1)
Let s(x) = 18*x. Let o be s(1). Let n be (o/(-5) - -1) + 3. Find k such that n + 4/5*k + 2/5*k**2 = 0.
-1
Let u(w) be the third derivative of 0*w + 0*w**3 + 0*w**4 - 3*w**2 + 0 + 1/180*w**5. Let u(y) = 0. What is y?
0
Suppose 5*h - 3 = -4*p, -3*p = -4*h + 4 + 17. Suppose 1/4*s + 0*s**h - 1/4*s**5 + 0 + 1/2*s**2 - 1/2*s**4 = 0. Calculate s.
-1, 0, 1
Factor -4*l**3 + 5*l**3 + 4*l - 4*l - l**4 + 2*l**2.
-l**2*(l - 2)*(l + 1)
Let b(s) be the second derivative of -s**7/147 + 2*s**6/35 - 13*s**5/70 + 2*s**4/7 - 4*s**3/21 + 11*s. Factor b(p).
-2*p*(p - 2)**2*(p - 1)**2/7
Let n be 6 + 0 + 50/(-6) - -3. What is j in n*j**5 + 0 - 2/3*j**4 + 2/3*j**2 - 2/3*j**3 + 0*j = 0?
-1, 0, 1
Let h(g) be the first derivative of 2/3*g**2 + 2/5*g**5 + 1 - 2/9*g**3 - 2/3*g**4 + 0*g. Find r, given that h(r) = 0.
-2/3, 0, 1
Let r(j) = -j**5 - 3*j**4 + j**3 + 5*j**2. Let q(i) = -4*i**5 - 9*i**4 + 3*i**3 + 16*i**2 + i. Let h(k) = -2*q(k) + 7*r(k). Suppose h(l) = 0. Calculate l.
-1, 0, 1, 2
Suppose 2*n - 10 = 2. Let c be (-4)/n + (-55)/(-15). Find u, given that 10/7*u**4 + 20/7*u**2 + 2/7*u**5 + 10/7*u + 20/7*u**c + 2/7 = 0.
-1
Let y(p) be the third derivative of -1/210*p**5 - p**2 + 0*p - 4/21*p**3 + 1/21*p**4 + 0. Solve y(v) = 0.
2
Let q(o) be the second derivative of o**5/15 + 11*o**4/36 - o**3/6 - 24*o. Suppose q(h) = 0. Calculate h.
-3, 0, 1/4
Determine o so that -1/2*o**2 + o + 0 = 0.
0, 2
Let j(d) be the second derivative of -5*d**7/168 + d**6/6 - d**5/4 + 25*d. Factor j(p).
-5*p**3*(p - 2)**2/4
Let z(n) be the first derivative of 7/2*n**3 - 5 + 3/2*n**2 + 0*n. Factor z(a).
3*a*(7*a + 2)/2
Let t be (-1191)/(-324) - (-20)/270. Solve -3/2*o + 0