e the second derivative of w**6/6 - 2*w**5 + 5*w**4/2 + 20*w**3/3 - 35*w**2/2 - w + 13. Suppose f(r) = 0. Calculate r.
-1, 1, 7
Suppose 0*v + 0 + 4*v**3 - 3*v**2 + 1/4*v**5 - 7/4*v**4 = 0. What is v?
0, 2, 3
Let s(m) = -5*m**3 + 3*m**2 - 3*m + 1. Let y(t) = 7*t**3 - 3*t**2 + 3*t - 2. Let g(j) = -5*s(j) - 4*y(j). Suppose g(w) = 0. What is w?
-1, 1
Suppose -5*r = -3*r. Suppose -j + 5*j + 4*p = 0, r = 5*j - 4*p - 18. Find d, given that 42*d**j - 4*d**3 + d**3 + 3*d**4 - 45*d**2 + 3*d**5 = 0.
-1, 0, 1
Let c be (-2 + 14/5)*(520/(-16))/(-13). Factor 2/5*m**c + 0*m**3 + 0*m + 0 - 2/5*m**4.
-2*m**2*(m - 1)*(m + 1)/5
Let d be (702/10 - 0) + 9/(-45). Let k be 84/d*(-2)/(-4). Suppose -k*b + 3/5*b**2 + 3/5*b**3 - 3/5 = 0. What is b?
-1, 1
Let m(y) = 28*y**3 - 68*y**2 + 68*y - 28. Let j(l) = -l**4 + 28*l**3 - 68*l**2 + 68*l - 27. Let g(k) = -4*j(k) + 3*m(k). Find u such that g(u) = 0.
1, 2, 3
Suppose 2*p + 3 = p + 3*o, 5*o = -2*p + 5. Suppose 4*s + 4*m = -p*s - 20, -10 = 5*s + 2*m. Solve s - 2*b - 1 - b**2 + 0 = 0.
-1
Let v be -3 + 14 + -1 + -7. Let t(w) be the second derivative of -2/9*w**3 - v*w - 1/54*w**4 - w**2 + 0. Solve t(c) = 0.
-3
Let h(q) be the third derivative of q**7/175 + 3*q**6/50 + 9*q**5/50 + q**4/5 + 171*q**2. Factor h(l).
6*l*(l + 1)**2*(l + 4)/5
Suppose 5*l = -i - 54, 5*l + 2*i = -17 - 36. Let b = l + 45/4. Factor z - 1 - b*z**2.
-(z - 2)**2/4
Let j(u) be the first derivative of -6*u + 7*u + 23 + 34*u**2 - 2 + 20*u**3 + 7*u. Factor j(d).
4*(d + 1)*(15*d + 2)
Let q(t) be the first derivative of -t**4/20 + 6*t**2/5 - 16*t/5 - 91. Determine u, given that q(u) = 0.
-4, 2
Let l(a) be the first derivative of 0*a - 1/2*a**3 + 1 + 1/8*a**6 - 3/8*a**2 + 0*a**4 + 3/10*a**5. Factor l(k).
3*k*(k - 1)*(k + 1)**3/4
Solve -2/7*g**2 + 6/7 - 4/7*g = 0.
-3, 1
Suppose 484/3 + 2183*f**2 + 3476/3*f + 49/3*f**4 + 1106/3*f**3 = 0. What is f?
-11, -2/7
Factor 33/7*o**2 + 1/7*o**3 + 9*o + 31/7.
(o + 1)**2*(o + 31)/7
Let u(c) be the first derivative of 2*c**3/33 - 6*c**2/11 + 10*c/11 - 34. Determine z so that u(z) = 0.
1, 5
Suppose z**3 + 0*z**4 - 4/5*z - 1/5*z**5 + 0 + 0*z**2 = 0. What is z?
-2, -1, 0, 1, 2
Let z(g) = g**3 - 36*g**2 - 47*g - 17. Let k = 155 + -148. Let f(s) = 12*s**2 + 16*s + 6. Let j(q) = k*f(q) + 2*z(q). Factor j(a).
2*(a + 1)**2*(a + 4)
Let l(z) = -9*z**3 + 9*z - 7. Let n(a) = -8*a**3 + 8*a - 6. Let p(g) = -g**2 + 4*g + 5. Let u be p(6). Let k(c) = u*n(c) + 6*l(c). Find x such that k(x) = 0.
-1, 0, 1
Let w(s) be the third derivative of -s**2 + 0*s**4 + 16/315*s**7 + 0*s + 0*s**3 - 4/63*s**8 + 0 - 1/90*s**6 + 0*s**5. Solve w(j) = 0 for j.
0, 1/4
Let l(m) be the first derivative of 5 - 2/13*m**2 + 2/13*m + 2/39*m**3. Factor l(p).
2*(p - 1)**2/13
Let u(q) be the third derivative of q**7/336 + q**6/480 - q**5/96 - q**4/96 - 22*q**2. Determine y so that u(y) = 0.
-1, -2/5, 0, 1
Find z, given that -19*z - z**2 - 3*z + 24*z = 0.
0, 2
Let k(m) = -5*m**2 + 3*m + 9. Let u be (-1)/(-4) - (-1533)/(-84). Let z = -7 - -3. Let i(h) = h**2 - h - 2. Let b(r) = u*i(r) + z*k(r). Factor b(j).
2*j*(j + 3)
Let r(i) be the third derivative of i**7/70 + i**6/120 - i**3 - 2*i**2. Let l(q) be the first derivative of r(q). Factor l(a).
3*a**2*(4*a + 1)
Let k = 81 - 75. Let l be 94/132 + (-1)/k. Factor -2*z + 12/11 + l*z**2.
2*(z - 3)*(3*z - 2)/11
Factor -321/4*p**3 + 0 + 136*p**2 - 64*p + 17/2*p**4 - 1/4*p**5.
-p*(p - 16)**2*(p - 1)**2/4
Let g(t) = -t. Let o(h) = h**3 + 17*h**2 - 17*h + 19. Let w be o(-18). Let l(x) = -5*x**3 + 90*x**2 - 550*x + 1080. Let z(q) = w*l(q) - 10*g(q). Factor z(d).
-5*(d - 6)**3
Suppose -14/13*t**2 - 4/13*t + 2/13 - 8/13*t**3 = 0. Calculate t.
-1, 1/4
Let h = -8531 - -42658/5. Factor 0 + h*n**4 + 0*n + 12/5*n**2 + 12/5*n**3.
3*n**2*(n + 2)**2/5
Let c(j) be the first derivative of -1/10*j**4 - 1/5*j**2 + 0*j + 9 - 4/15*j**3. Solve c(f) = 0 for f.
-1, 0
Let f(q) be the first derivative of 0*q**2 + 1/10*q**5 + 0*q**4 - 5 + 0*q + 1/12*q**6 + 0*q**3. Factor f(p).
p**4*(p + 1)/2
Let x(q) be the third derivative of -q**6/6 + 35*q**5/12 - 105*q**4/8 - 15*q**3 - 2*q**2 + 45. Determine p so that x(p) = 0.
-1/4, 3, 6
Let k(a) = -2*a**4 + 7*a**3 - 15*a**2 + 14*a - 7. Suppose 4*s - 6 = -10. Let c(p) = p**3 - p**2 + 1. Let u(j) = s*k(j) - 3*c(j). Factor u(h).
2*(h - 2)*(h - 1)**3
Let c(u) be the second derivative of u**10/3024 - u**9/1008 + 4*u**4/3 - 24*u. Let n(r) be the third derivative of c(r). Determine f, given that n(f) = 0.
0, 3/2
Let b = 404 - 399. Let d(z) be the first derivative of -1/5*z**4 + 0*z**2 + 0*z - 2/25*z**b + 8 + 0*z**3 + 1/15*z**6. Factor d(u).
2*u**3*(u - 2)*(u + 1)/5
Let r = -5 - -7. Suppose -3*u + r*u + 3 = -o, -3*o = 3. Determine w, given that -2 + 8 + u*w**3 - 6 = 0.
0
Suppose 0 = -0*p + 2*p + 36. Let r be p/(-4) + (-4)/8. Let -6*x**r + 7*x**5 - 3*x + x**5 - 5*x**5 + 6*x**2 = 0. Calculate x.
-1, 0, 1
Let l(a) be the second derivative of a**5/4 - 5*a**4/3 - 10*a**3/3 + 40*a**2 - 47*a - 2. Find s such that l(s) = 0.
-2, 2, 4
Let j = -2/8745 + -155659/8745. Let l = j + 18. Solve 1/5*q**2 - l*q + 0 = 0.
0, 1
Let q(v) be the second derivative of -7*v**6/6 + 33*v**5/4 - 115*v**4/6 + 10*v**3 + 20*v**2 - 2*v - 52. Determine w so that q(w) = 0.
-2/7, 1, 2
Determine z, given that 0 + 10/3*z**4 - 16/3*z**3 + 0*z + 8/3*z**2 - 2/3*z**5 = 0.
0, 1, 2
Let 40/3 + 70/3*n + 5/3*n**3 + 35/3*n**2 = 0. Calculate n.
-4, -2, -1
Let h = 20 + -24. Let y(o) = 5*o**5 + 5*o**4 + 11*o**3 - o**2 - 12*o. Let f(q) = q**5 + q**3 - q + 1. Let l(k) = h*f(k) + y(k). Factor l(n).
(n - 1)*(n + 1)**2*(n + 2)**2
Find b, given that 0 + 3/2*b + 5/2*b**2 = 0.
-3/5, 0
Suppose 5*b - 24 = r, 120*b - 118*b = -2*r + 12. Let i = 4 - 1. Determine c, given that 7*c - c**3 - 4*c - 5*c**3 + i*c**b = 0.
-1, 0, 1
Let g be 18/(-24) - (-33)/12. What is b in 17*b**2 - 20*b**2 + 67*b**g + 12*b**3 + 48*b - 64 = 0?
-4, -2, 2/3
Suppose -8*q**5 - 34*q**3 + 17765 - 17829 + 268*q**2 - 26*q**4 - 28*q**4 + 192*q = 0. Calculate q.
-4, -1, 1/4, 2
Find n, given that -4/3*n**2 - 22/5*n - 2/15*n**3 - 24/5 = 0.
-4, -3
Determine d so that 21/5*d + 36/5 + 3/5*d**2 = 0.
-4, -3
Let r(u) be the first derivative of 3*u**4/4 + 11*u**3 + 12*u**2 - 60*u - 332. Solve r(n) = 0 for n.
-10, -2, 1
Let m(z) = -12*z**2 + 6*z + 9. Let f(y) = 23*y**2 - 11*y - 17. Let r be (-12 - 0)*7/(-21). Let x be (-3 - -4 - 0) + r. Let v(s) = x*m(s) + 3*f(s). Factor v(j).
3*(j - 1)*(3*j + 2)
Factor -13 + 11*p + 57*p - 2*p**2 - 321 - 244.
-2*(p - 17)**2
Let h(t) be the third derivative of -t**6/60 - t**5/5 - t**4/4 + 10*t**3/3 - 8*t**2 - 11*t. Factor h(s).
-2*(s - 1)*(s + 2)*(s + 5)
Let s(m) be the first derivative of m**3/21 - 11*m**2/14 + 10*m/7 + 70. Solve s(q) = 0.
1, 10
Suppose 2/7*u**2 - 8/7*u + 2/7*u**3 - 8/7 = 0. What is u?
-2, -1, 2
Determine x, given that 10*x**4 - 5*x - 4*x**5 + 16*x**2 - 33*x**2 + 9*x**5 + 7*x**2 = 0.
-1, 0, 1
Let j(x) be the second derivative of x**4/54 - 7*x**3/9 + 20*x**2/9 + 25*x + 2. Factor j(c).
2*(c - 20)*(c - 1)/9
Let o(k) be the third derivative of k**8/1512 - k**7/315 + k**6/180 - k**5/270 + 14*k**2. Factor o(h).
2*h**2*(h - 1)**3/9
Let r(m) be the second derivative of m**4/6 - 5*m**3/3 + 6*m**2 - 17*m - 2. Factor r(d).
2*(d - 3)*(d - 2)
Let r(u) be the second derivative of -u**5/70 - 3*u**4/14 + u**3/21 + 9*u**2/7 + 50*u - 1. Factor r(k).
-2*(k - 1)*(k + 1)*(k + 9)/7
Solve 0 + 0*b**4 + 1/9*b**5 + 0*b**3 + 0*b**2 + 0*b = 0.
0
Suppose 0 = 359*r - 502*r + 286. Factor -18/5*y**r - 2/5*y**4 + 2*y**3 - 4/5 + 14/5*y.
-2*(y - 2)*(y - 1)**3/5
Let y = -153 + 156. Let w(z) be the second derivative of 0 - 3/20*z**5 + 9/2*z**2 - 7/2*z**y + 5/4*z**4 - 2*z. Factor w(t).
-3*(t - 3)*(t - 1)**2
Let x(y) = -22*y**2 + y**5 + 25*y**2 - 3 + 5*y**3 + 0*y**3. Let n(p) = 4*p**3 + 2*p**2 - 2. Let c(w) = 3*n(w) - 2*x(w). Factor c(a).
-2*a**3*(a - 1)*(a + 1)
Let j(f) be the first derivative of f**4/3 + 36*f**3 - 164*f**2/3 - 58. Suppose j(d) = 0. Calculate d.
-82, 0, 1
Let s(y) = -y**2 + 10*y - 3. Let w(q) = q**2 - 10*q + 4. Let f(l) = -5*s(l) - 6*w(l). Factor f(t).
-(t - 9)*(t - 1)
Let b = 4 + -4. Suppose b = o - 12 - 1. What is f in 8*f**3 + f**4 - o*f**3 + 8*f**2 - f - 3*f = 0?
0, 1, 2
Let u be (-16)/(-12)*12 + -2. Suppose 0 = 2*k + 2*k - 56. Determine d so that 6*d**5 - k*d + d**5 - 4*d**2 + u*d + 9*d**4 - 12*d