 is w?
-2, 0
Let u(i) be the third derivative of -i**8/448 + i**6/40 - i**5/40 - 3*i**4/32 + i**3/4 - 30*i**2. Solve u(m) = 0 for m.
-2, -1, 1
Let u(y) be the third derivative of -y**9/30240 - y**8/16800 + y**7/6300 + y**5/30 + 3*y**2. Let a(j) be the third derivative of u(j). Factor a(v).
-2*v*(v + 1)*(5*v - 2)/5
Suppose -d - 7 = -0*c + 2*c, -2*c + 5 = 5*d. Suppose 3*l - i - i - 18 = 0, 5*i = -4*l + 1. Factor -10*x**4 + 10*x**3 + d*x + 4*x**2 - l*x**4 - 3*x.
-2*x**2*(x - 1)*(7*x + 2)
Let o(h) = 8*h**2 - 4*h - 2. Let x(m) = m**4 - m**3 + 17*m**2 - 9*m - 3. Let t(g) = -5*o(g) + 2*x(g). What is d in t(d) = 0?
-1, 1, 2
Let i(f) be the third derivative of -f**7/2520 - f**6/360 - f**5/120 - f**4/8 - 4*f**2. Let v(p) be the second derivative of i(p). Determine b so that v(b) = 0.
-1
Let n(r) be the second derivative of r**5/8 - 7*r**4/18 + 11*r**3/36 + r**2/6 - 37*r. Factor n(v).
(v - 1)**2*(15*v + 2)/6
Let n(q) be the first derivative of q**4/2 - 4*q**3 + 9*q**2 - 8*q - 15. Find c such that n(c) = 0.
1, 4
Let z be (-7 - -1)*5/(-10). Let s(m) be the first derivative of 2 + 1/20*m**5 - 1/12*m**z + 0*m - 1/8*m**2 + 1/16*m**4. Factor s(t).
t*(t - 1)*(t + 1)**2/4
Suppose -13 = -4*x - 3*c, 5*x + c - 18 = 1. Solve -2/13*u**x + 2/13*u**3 + 2/13*u**2 - 2/13*u**5 + 0 + 0*u = 0 for u.
-1, 0, 1
Let y(n) be the third derivative of -n**7/2520 + n**5/120 + n**4/24 - 6*n**2. Let x(j) be the second derivative of y(j). Factor x(c).
-(c - 1)*(c + 1)
Let w = 8 - 6. Let 0*i**2 + i**3 + 6*i**3 - w*i - 5*i**2 = 0. Calculate i.
-2/7, 0, 1
Suppose 22 = 9*p + 4. Let q be ((-4)/(-10))/((-3)/(-5)). Let -1/3*v**p + 0 - q*v = 0. Calculate v.
-2, 0
Suppose i - 6 = -2*i. Factor -3*c**2 - i*c**4 - 10*c + 3*c**3 + 7*c + 5*c**4.
3*c*(c - 1)*(c + 1)**2
Factor -3*h**2 + 4*h + 4*h**2 - 3*h - 4*h + 2.
(h - 2)*(h - 1)
Let x = 15 + -21. Let b(r) = 55*r**4 + 96*r**3 + 66*r**2 + 12*r. Let a(j) = -27*j**4 - 48*j**3 - 33*j**2 - 6*j. Let s(o) = x*b(o) - 13*a(o). Factor s(f).
3*f*(f + 1)**2*(7*f + 2)
Let x be 77/28 + 2/8. Solve 4*f**4 + 12*f**x + f + 3 + 18*f**2 + 11*f - f**4 = 0.
-1
Find p such that 2/7*p**2 + 12/7*p + 18/7 = 0.
-3
Let f = 83/3 + -26. What is x in -f*x**2 + 4/3*x**3 + 0 - 2/3*x + x**4 = 0?
-2, -1/3, 0, 1
Let h = 1/5 - -2/5. Let 3/5 - h*y**2 + 0*y = 0. What is y?
-1, 1
Let f be (-4)/(-1) - 161/42. Let y(c) be the first derivative of 0*c + 1/3*c**2 + 4/9*c**3 + 2 + f*c**4. Factor y(w).
2*w*(w + 1)**2/3
Let f(u) = u**4 + 7*u**3 - 24*u**2 + 30. Let p(x) = -5*x**4 - 27*x**3 + 97*x**2 - 119. Let j(i) = -9*f(i) - 2*p(i). Solve j(l) = 0 for l.
-1, 2, 4
Suppose 2 + 1 = k. Let q be (-64)/(-10) + -3 + -3. Factor -q*r**4 - 2/5*r**2 + 0*r + 0 + 4/5*r**k.
-2*r**2*(r - 1)**2/5
Let w(q) be the first derivative of -q**6/2 - 6*q**5/5 - 3*q**4/4 + 8. Factor w(a).
-3*a**3*(a + 1)**2
Let r(z) be the second derivative of 2*z**6/15 - 2*z**4/3 + 2*z**2 - 5*z. Factor r(b).
4*(b - 1)**2*(b + 1)**2
Let u(j) = -12*j**5 + 4*j**4 + 6*j**3 + 2*j**2. Let v(n) = -n**5 + n**3. Let g(z) = 4*u(z) - 44*v(z). Find p such that g(p) = 0.
0, 1, 2
Let u(z) = -z**4 + 4*z**3 + 4*z**2 + 2*z. Suppose -2*c + c = 22. Let n(i) = 4*i**4 - 15*i**3 - 15*i**2 - 7*i. Let g(o) = c*u(o) - 6*n(o). Solve g(w) = 0 for w.
-1, 0, 1
Let s(v) be the first derivative of -v**3 - 3*v**2/2 + 8. Factor s(o).
-3*o*(o + 1)
Let d(i) be the second derivative of 3*i**5/40 + i**4/2 + 5*i**3/4 + 3*i**2/2 + i. Factor d(k).
3*(k + 1)**2*(k + 2)/2
Let n be ((-1)/3)/(11/(-66)). Let w(p) be the first derivative of n - 2*p - 3/2*p**2 + 1/5*p**5 + 3/4*p**4 + 1/3*p**3. What is r in w(r) = 0?
-2, -1, 1
Let d(x) be the third derivative of -3*x**6/10 - 31*x**5/30 - 5*x**4/4 - 2*x**3/3 - 15*x**2. Solve d(r) = 0 for r.
-1, -1/2, -2/9
Let a be -6*(11/(-3) - -3). Suppose 0 = a*o - 8, 4*z + 3 - 23 = -4*o. Determine h so that -579/4*h**z + 2 - 147/4*h**5 + 163/2*h**2 - 21*h + 119*h**4 = 0.
2/7, 2/3, 1
Let z = 69/550 - 2/25. Let o(w) be the second derivative of 0 + w - 4/33*w**3 - z*w**4 - 1/11*w**2. Solve o(f) = 0.
-1, -1/3
Let d(l) be the second derivative of -3*l + 0 - 1/36*l**3 + 1/120*l**5 + 1/6*l**2 - 1/24*l**4 + 1/180*l**6. Determine z, given that d(z) = 0.
-2, -1, 1
Suppose -6*i**2 + i**2 + 30*i + 0*i**2 = 0. What is i?
0, 6
Let p(j) be the third derivative of -j**7/1155 - j**6/660 + j**5/330 + j**4/132 - 4*j**2. What is i in p(i) = 0?
-1, 0, 1
Suppose -m - 4*u + 6*u + 2 = 0, 2*u + 8 = 4*m. Let a(y) be the first derivative of 0*y**2 + 1/12*y**3 + m + 0*y. Solve a(g) = 0.
0
Let b be -6 + 2 + -1 + 10. Let v be b/(-2) + (-14 - -17). Let v - 1/2*k**2 + 0*k = 0. What is k?
-1, 1
Factor -13*r**2 - 3*r**3 - r**3 + r**3 + 32*r + 21 - 9.
-(r - 2)*(r + 6)*(3*r + 1)
Solve 16/3*q**4 + 4/3*q**3 + 2/3 + 5/3*q - 6*q**2 - 3*q**5 = 0 for q.
-1, -2/9, 1
Let y = 8 + -8. Suppose y = -4*q + 3*f - 1, -q - q - f + 7 = 0. Factor -1/2*x**2 - 2 - q*x.
-(x + 2)**2/2
Let g(w) = 6*w**2 + 14*w + 4. Let n(v) = -6*v**2 - 14*v - 4. Let f(m) = -5*g(m) - 6*n(m). Factor f(b).
2*(b + 2)*(3*b + 1)
Let w(b) be the third derivative of -b**6/40 + b**5/20 + b**4/2 - 2*b**3 - 16*b**2. Factor w(o).
-3*(o - 2)*(o - 1)*(o + 2)
Let u = -1443 - -77891/54. Let p = -2/27 - u. Determine q so that -1 + 1/2*q + p*q**2 = 0.
-2, 1
Solve 5*c**4 + 4*c**4 - 10*c - 4*c**4 - c**2 - 14*c**2 = 0 for c.
-1, 0, 2
Let n(s) be the third derivative of 1/672*s**8 - 1/240*s**6 + 0 + 0*s**3 - 1/120*s**5 + 6*s**2 + 0*s**4 + 0*s + 1/420*s**7. Factor n(j).
j**2*(j - 1)*(j + 1)**2/2
Let t = -11872 - -107002/9. Determine m, given that -8/9 - t*m**2 + 64/9*m + 98/9*m**3 = 0.
2/7, 1
Let m(l) be the second derivative of l**7/42 + l**6/15 - l**4/6 - l**3/6 + 26*l. Suppose m(p) = 0. What is p?
-1, 0, 1
Let p(i) be the first derivative of -i**4/18 + 2*i**3/9 - i**2/3 + i - 1. Let d(g) be the first derivative of p(g). Factor d(a).
-2*(a - 1)**2/3
Let -3*v**4 - 23*v - 13*v + 2 + 6*v**2 + 12*v**3 - 29 = 0. Calculate v.
-1, 3
Factor -8*s**2 + 0*s**2 + 11*s**3 + 26*s**3 + 15*s**3 - 44*s**4.
-4*s**2*(s - 1)*(11*s - 2)
Let t(i) be the third derivative of i**6/420 - i**5/70 + i**4/28 - i**3/21 - 8*i**2. Factor t(w).
2*(w - 1)**3/7
Let i(c) = -c**3 - 4*c**2 + 5*c + 5. Let g be i(-5). Suppose -5*r + g*b + 27 = b, -3*b - 3 = 2*r. Factor 2*l**4 + 2*l**5 - l**5 - 2*l**4 - l**r.
l**3*(l - 1)*(l + 1)
Let b(o) be the second derivative of -o**3 + 9/4*o**4 + 0*o**2 + 1/2*o**6 + 0 - 9/5*o**5 - 3*o. Find d such that b(d) = 0.
0, 2/5, 1
Suppose 5*h = 2 + 8. Let o be 20/24 - (-2)/4. Let -2/3*i - 2/3 + o*i**h = 0. What is i?
-1/2, 1
Let h(w) be the first derivative of 0*w + 2/3*w**3 + 4 - w**2. Factor h(k).
2*k*(k - 1)
Let r = 0 - -2. Let x be r/(-5) - (-77)/105. Let 1/3*l - 1/3*l**2 - x*l**3 + 1/3 = 0. What is l?
-1, 1
Let i(n) = -n**2 - 9*n + 6. Let d be i(-10). Let g be d/(-6) + 10/21. Suppose -8/7*l - g - 2/7*l**2 = 0. Calculate l.
-2
Let i(u) = -6*u**2 - 31*u + 11. Let m(r) = -r**2 - 6*r + 2. Let z(v) = -2*i(v) + 11*m(v). Factor z(o).
o*(o - 4)
Let r(v) = -4*v**3 - v - 1. Let n be r(-1). Solve -3*g**3 + 3/2*g**n + 3*g - 3/2 + 0*g**2 = 0 for g.
-1, 1
Let k(f) be the second derivative of f**5/15 + f**4/6 - f**2/2 + 2*f. Let g(l) be the first derivative of k(l). Factor g(h).
4*h*(h + 1)
Factor 0 - 5/3*b**2 + 5/3*b.
-5*b*(b - 1)/3
Suppose 0 = 4*s - 17 + 5. Suppose -4*z - 7 = -23. Factor -b**z - 4 - b**s + 4.
-b**3*(b + 1)
Let m be ((-3)/(-30))/(1/4). Let v = -68/5 + 14. Find n, given that -m*n**4 + 0*n - v*n**2 + 0 - 4/5*n**3 = 0.
-1, 0
Determine x, given that 596/11*x**2 - 670/11*x**3 - 450/11*x**4 + 1000/11*x**5 + 16/11 - 168/11*x = 0.
-1, 1/4, 2/5
Let d(l) be the second derivative of -l**6/120 + l**5/30 - l**3/2 + 9*l. Let b(m) be the second derivative of d(m). Factor b(q).
-q*(3*q - 4)
Let m(k) be the first derivative of k**4/12 + 5*k**3/9 + k**2/2 - 3*k + 69. Let m(v) = 0. What is v?
-3, 1
Let l(z) be the third derivative of 0 + 1/420*z**7 - z**2 + 0*z + 1/15*z**5 + 1/48*z**6 + 0*z**3 + 1/12*z**4. Determine o so that l(o) = 0.
-2, -1, 0
Suppose 2*k + 29 = 33. Let m(j) be the first derivative of 3/10*j**k - 1/15*j**3 - 2/5*j + 2. Factor m(c).
-(c - 2)*(c - 1)/5
Let m(z) be the second derivative of -z**6/5 - 9*z**5/20 - z**4/4 + 3*z. Factor m(a).
-3*a**2*(a + 1)*(2*a + 1)
Suppose -4*i + 7 = -1. Let o be 86/10 - 4/(-10). Factor x + 10*x**5 - o*x**5 - 4*x