actor -5*w + 3*w**4 - w**y - 2*w**2 + 2*w**3 + 3*w.
2*w*(w - 1)*(w + 1)**2
Let u be (4/(-3))/((-35)/150*1). Let x be 0 + 1 + (-2)/(-14). Let 46/7*o**2 + x + 2*o**3 + u*o = 0. What is o?
-2, -1, -2/7
Let u(i) be the first derivative of -i**4/42 + i**3/21 - 4*i + 3. Let q(r) be the first derivative of u(r). Find a, given that q(a) = 0.
0, 1
Let y(d) be the second derivative of -2*d**6/15 - 3*d**5/4 - 4*d**4/3 - d**3/2 + d**2 + 4*d. What is l in y(l) = 0?
-2, -1, 1/4
Let y(x) be the third derivative of 0*x**7 + 0*x**3 - 4*x**2 + 0 + 0*x + 0*x**4 + 0*x**5 - 1/40*x**6 + 1/112*x**8. Find v, given that y(v) = 0.
-1, 0, 1
Let p(l) be the third derivative of -l**5/30 + l**4/6 + 7*l**2. Factor p(a).
-2*a*(a - 2)
Let u(g) be the second derivative of g**10/30240 - g**9/5040 + g**8/3360 - g**4/4 - 5*g. Let d(w) be the third derivative of u(w). Factor d(x).
x**3*(x - 2)*(x - 1)
Suppose 5*m - 2*p - 27 = 0, -m - p + 3 = -1. Suppose -5 - 10 = m*x, -4*w + 5*x + 31 = 0. Factor -2 + 2*r**5 + 2*r**w + 4*r**2 + 2*r - 4*r**4 + 0*r - 4*r**3.
2*(r - 1)**3*(r + 1)**2
Let q(z) = z**2 - 7*z + 9. Let x be q(6). Suppose 2*r - 8 = -2*r. Factor -2*j**3 - 6*j - 2 + 0*j**2 - x*j**2 - 3*j**r.
-2*(j + 1)**3
Let h(j) be the first derivative of j**5/90 - j**3/27 + j + 5. Let r(w) be the first derivative of h(w). Find l such that r(l) = 0.
-1, 0, 1
Suppose u = 4, -4*o + 6 = o - u. Let k(h) be the first derivative of o + 0*h**2 - 1/16*h**4 + 1/12*h**3 + 0*h. Factor k(p).
-p**2*(p - 1)/4
Let q(w) be the first derivative of 2*w - 1/4*w**4 + w**2 - 1/2*w**3 + 1/10*w**5 - 1. Factor q(d).
(d - 2)**2*(d + 1)**2/2
Suppose 1 = 4*h + 5. Let j be 4 + (-1 - -3)*h. Determine k, given that 1/2*k**j - 1/2*k + 0 = 0.
0, 1
Let n be ((-33)/(-8))/(9/132). Let j = n - 59. Solve j*w**3 - 3*w**4 - 3/2*w + 3*w**2 + 0 = 0 for w.
-1, 0, 1/2, 1
Determine b so that 0*b**2 - 2/7*b + 2/7*b**3 + 0 = 0.
-1, 0, 1
Let j be (-1)/(-3) + (-17)/(-3). Let h be 0/(-1 + 2) + 2. Factor -2*r**2 - j*r**3 + 2*r**h - r + r**2 - r**5 + 4*r**4 + 3*r**2.
-r*(r - 1)**4
Let j(s) be the second derivative of s**8/1680 + s**7/840 - s**6/360 - s**5/120 - 2*s**3/3 + 5*s. Let g(d) be the second derivative of j(d). Factor g(m).
m*(m - 1)*(m + 1)**2
Let f(u) be the third derivative of -u**5/60 + u**4/8 - u**3/3 - 10*u**2. Factor f(z).
-(z - 2)*(z - 1)
Let p(w) be the second derivative of -21*w**5/20 - 5*w**4/4 + 8*w**3 - 6*w**2 + 9*w. Factor p(j).
-3*(j - 1)*(j + 2)*(7*j - 2)
What is n in 0 - 4*n**3 + 8/3*n**4 - 2/3*n**5 + 8/3*n**2 - 2/3*n = 0?
0, 1
Let w(t) be the third derivative of t**8/84 - t**6/15 + t**4/6 + 3*t**2. Factor w(m).
4*m*(m - 1)**2*(m + 1)**2
Let d(z) = z**4 + 5*z**3 - 4*z**2 + 2*z - 2. Let m(q) = 6*q**3 - 3*q**2 + 3*q - 3. Let k(y) = -3*d(y) + 2*m(y). Let k(v) = 0. Calculate v.
-2, 0, 1
Let k(n) be the first derivative of -2*n**5/55 + 4*n**3/33 - 2*n/11 + 1. Factor k(q).
-2*(q - 1)**2*(q + 1)**2/11
Suppose -4*z = -5*s - 22, 2*z - 4*z - 3*s = 0. Solve 4*o**3 + 4*o**5 - o + 11*o**z - 2*o**3 - 4*o**3 - o**2 - 11*o**4 = 0.
-1/4, 0, 1
Let j = 11 - 5. Suppose -5*r - j = 3*y - 36, 5*r - 15 = 0. Let t(m) = -6*m**2 + 6*m + 4. Let k(h) = -7*h**2 + 7*h + 5. Let z(b) = y*t(b) - 4*k(b). Factor z(w).
-2*w*(w - 1)
Let o(h) = h**3 + h**2 - h - 1. Let y(z) = 78*z**3 - 42*z**2 - 28*z - 8. Let x(i) = 6*o(i) - y(i). Let x(f) = 0. What is f?
-1/6, 1
Let c(v) be the second derivative of 1/80*v**5 - 1/48*v**4 - 4*v + 0*v**3 + 0 + 0*v**2. Factor c(z).
z**2*(z - 1)/4
Suppose -8*n + 6 = -5*n. Factor 11*i**2 + 5*i**n + 14*i + 13*i**3 + 4 - 7*i**3.
2*(i + 1)**2*(3*i + 2)
Suppose -16/3*r + 32/3 + 2/3*r**2 = 0. What is r?
4
Let y(w) be the third derivative of -w**6/96 + 5*w**4/24 + 12*w**2. What is q in y(q) = 0?
-2, 0, 2
Let z(q) = -9*q**3 + 52*q**2 - 20*q - 95. Let f(w) = -6*w**3 + 35*w**2 - 13*w - 64. Let x(h) = 7*f(h) - 5*z(h). Factor x(n).
3*(n - 3)**2*(n + 1)
Let f(t) be the first derivative of -t**6/420 + t**5/210 + t**4/42 + 3*t**2/2 - 4. Let s(m) be the second derivative of f(m). Factor s(b).
-2*b*(b - 2)*(b + 1)/7
Let r = -26 + 28. Factor 0 + 3/2*t**r + 1/2*t.
t*(3*t + 1)/2
Let f(q) = q + 1. Let k be f(8). Let c = -9 + k. Let -1/2 + 1/2*h**2 + c*h = 0. Calculate h.
-1, 1
Factor -50*x**2 + 75*x**5 - 210*x**4 - 12*x**2 + 19*x - 7*x - 22*x**2 + 207*x**3.
3*x*(x - 1)**2*(5*x - 2)**2
Factor 18*f**3 - 1/2 - 11/2*f - 12*f**2.
(f - 1)*(6*f + 1)**2/2
Let d(u) = 2*u**2 + 5*u - 10. Let l(p) = -p**2 - 5*p + 10. Let q(f) = 4*d(f) + 3*l(f). Factor q(o).
5*(o - 1)*(o + 2)
Let i(l) = -l + 19. Let g be i(15). Let w(a) be the second derivative of -1/24*a**g - 2*a + 1/120*a**6 + 1/8*a**2 + 0 + 0*a**3 + 0*a**5. Factor w(x).
(x - 1)**2*(x + 1)**2/4
Let s(o) be the first derivative of 2/3*o - 2/3*o**4 - 5 + 4/3*o**3 - 4/3*o**2 + 2/15*o**5. Factor s(z).
2*(z - 1)**4/3
Let o(q) be the second derivative of q**5/12 - q**4/12 - 2*q**3/3 - 2*q**2/3 + 21*q. Factor o(z).
(z - 2)*(z + 1)*(5*z + 2)/3
Let y(q) = -q. Let x(j) = -j + 2. Let d be x(6). Let b be y(d). Solve n**2 - 3*n**4 - 2*n**2 + 0*n**b + 3*n**3 + n**5 = 0.
0, 1
Let y(j) be the third derivative of j**8/168 + j**7/105 - j**6/20 - j**5/6 - j**4/6 - j**2. Factor y(l).
2*l*(l - 2)*(l + 1)**3
Let v = -27 + 53. Suppose -y = 3*t - 18, v = 5*t - y - 4. Suppose -2*z**2 + 5*z**2 - t*z + 45 - 42 = 0. Calculate z.
1
Let s(l) be the third derivative of -l**9/6480 + l**8/1680 - l**7/2520 - l**6/1080 + l**4/24 - 4*l**2. Let h(b) be the second derivative of s(b). Factor h(v).
-v*(v - 1)**2*(7*v + 2)/3
Let n(b) be the first derivative of 5*b**4/4 + 5*b**3/3 - 17. Factor n(o).
5*o**2*(o + 1)
Suppose -2*r - 5 = -1, 4*o = 2*r + 12. Find q, given that 6/7*q**4 + 0*q + 2/7*q**o - 2/7*q**5 + 0 - 6/7*q**3 = 0.
0, 1
Let w(g) = 4*g**4 + g**3 + 11*g**2. Let z(b) = 2*b**4 + b**3 + 5*b**2. Let x(a) = -6*w(a) + 14*z(a). Determine l so that x(l) = 0.
-1, 0
Let v = -57 + 80. Suppose 5*f = 2*f - 2*m + 16, -f - v = -5*m. Factor 2*y - f*y**2 + 3*y + 4 - 2 - 5*y**3.
-(y - 1)*(y + 1)*(5*y + 2)
Let l(w) be the third derivative of w**5/30 + w**4/2 + 3*w**3 + 4*w**2. Determine u so that l(u) = 0.
-3
Determine q so that 2/3 - 3*q + 3*q**2 = 0.
1/3, 2/3
Let t(o) = o**2 - 3*o - 4. Let v be t(-5). Let n be 4/14 - v/(-126). Factor 2/7*a**4 + n*a**3 - 4/7*a**2 + 2/7 - 2/7*a**5 - 2/7*a.
-2*(a - 1)**3*(a + 1)**2/7
Let i(h) be the second derivative of -h**5/14 + 2*h**4/7 - 4*h**3/21 + h. Solve i(p) = 0.
0, 2/5, 2
Let y be (-2)/7*14/(-6). Factor 0 - y*t**2 + 1/3*t + 1/3*t**3.
t*(t - 1)**2/3
Let k = 11 + -5. Factor -9 - 9*c - 21*c**2 + k*c + 48*c - 18 + 3*c**3.
3*(c - 3)**2*(c - 1)
Let b = 1/14 - -1/14. Let c(j) be the first derivative of -b*j**2 - 2/21*j**3 + 2 + 4/7*j. Factor c(k).
-2*(k - 1)*(k + 2)/7
Let s(n) be the second derivative of n**6/540 - n**5/90 + n**4/54 - 5*n**2/2 + 9*n. Let q(k) be the first derivative of s(k). Factor q(m).
2*m*(m - 2)*(m - 1)/9
Let q(h) be the first derivative of -h**7/420 - h**6/60 + h**4/3 - 2*h**3/3 - 2. Let k(f) be the third derivative of q(f). Suppose k(c) = 0. What is c?
-2, 1
Let x(z) be the third derivative of z**8/840 - z**7/525 - z**6/75 + 2*z**5/75 + 32*z**2. Let x(h) = 0. What is h?
-2, 0, 1, 2
Find b such that -36/7*b**2 - 10/7*b**3 + 16/7*b**4 + 8/7*b + 16/7 + 6/7*b**5 = 0.
-2, -2/3, 1
Let w(h) be the second derivative of 0 + 1/6*h**4 - 1/10*h**5 + 0*h**2 + 1/3*h**3 + 2*h - 1/15*h**6. Suppose w(u) = 0. Calculate u.
-1, 0, 1
Let u be (-1 - 3) + 1 + 6. Let c be -2 - u/(45/(-42)). Determine k so that -c - 32/5*k**2 + 22/5*k + 14/5*k**3 = 0.
2/7, 1
Let f(v) be the second derivative of -v**4/42 + 2*v**3/3 - 7*v**2 - v. What is s in f(s) = 0?
7
Let a be 1 - (140/(-50))/((-18)/5). Suppose -2/9*s + a*s**2 + 0 = 0. What is s?
0, 1
Let y be 10/35 - 3/(-14). Factor y*b - 7/4*b**2 + 1/4 + b**3.
(b - 1)**2*(4*b + 1)/4
Let j(a) be the first derivative of 7*a**5/2 + a**4/2 - 2*a**3/3 + 25. Factor j(n).
n**2*(5*n + 2)*(7*n - 2)/2
Let w(r) be the first derivative of r**6/360 - r**4/24 + r**3/9 - 3*r**2 - 8. Let a(o) be the second derivative of w(o). Determine d, given that a(d) = 0.
-2, 1
Determine j so that 3 + 3/4*j**2 + 15/4*j = 0.
-4, -1
Suppose 24 - 4 = 4*d. Let u(q) be the second derivative of -q - 3/25*q**d - 1/105*q**7 + 0 - 2/15*q**4 - 4/75*q**6 + 0*q**2 - 1/15*q**3. Factor u(k).
-2*k*(k + 1)**4/5
Let r be (-3)/(