0?
-1/5, 1
Let z(x) be the second derivative of -9*x**8/2240 - 5*x**7/224 + x**6/80 + 31*x**3/6 + 28*x. Let s(h) be the second derivative of z(h). Factor s(v).
-3*v**2*(v + 3)*(9*v - 2)/4
Let w(b) be the second derivative of -b**9/9072 + b**8/1260 - b**7/504 + b**6/540 + b**3/2 - 20*b. Let c(d) be the second derivative of w(d). Factor c(n).
-n**2*(n - 2)*(n - 1)**2/3
Let r = -26935/3 + 188551/21. Let r + 2/7*a**4 - 4/7*a**3 + 2/7*a**5 - 4/7*a**2 + 2/7*a = 0. Calculate a.
-1, 1
Let q = 245 + -241. Let u(p) be the second derivative of 0 + 0*p**2 + 1/36*p**q + 1/18*p**3 + p. Factor u(v).
v*(v + 1)/3
Let j(i) be the first derivative of -i**6/8 - 2*i**5/5 + 3*i**4/4 + 5*i**3/2 + 7*i**2/8 - 3*i/2 + 11. Suppose j(q) = 0. What is q?
-3, -1, 1/3, 2
Let j(z) be the third derivative of z**5/360 - 17*z**4/144 + 4*z**3/9 + 223*z**2. Factor j(k).
(k - 16)*(k - 1)/6
Let a = 88486/27655 + 2/5531. What is d in 16/5*d**2 - 4/5*d**3 + 0 - a*d = 0?
0, 2
Suppose 3*a + 5*k = -170, -3*a + 3*k - 61 = 101. Let w be (a/22)/(5/(-4)). Let 1 + 35*t + 39*t**w - 80*t**3 + 4 + t**2 = 0. Calculate t.
-1/4, 1
Let u be (11/((-55)/(-2)))/((-4)/(-40)). Let 3/2*l**2 - u*l**3 - 1 - 2*l**4 + 5/2*l = 0. What is l?
-2, -1, 1/2
Let x(i) = -13*i - 2. Let c be x(-1). Factor 2*j**3 - 6*j**2 - 8*j**4 + 5*j**4 - c*j**3.
-3*j**2*(j + 1)*(j + 2)
Factor 32/15*x + 0 - 8/3*x**2 + 16/15*x**3 - 2/15*x**4.
-2*x*(x - 4)*(x - 2)**2/15
Factor -75*a**2 - 65*a**3 + 61*a + 74*a + 10*a**3 - 5*a**4.
-5*a*(a - 1)*(a + 3)*(a + 9)
Let o(y) be the third derivative of -y**9/22680 + y**7/3780 + 11*y**4/12 + 12*y**2. Let j(p) be the second derivative of o(p). Solve j(q) = 0 for q.
-1, 0, 1
Let o(v) = 14*v**3 - 166*v**2 + 728*v - 696. Let g(w) = -5*w**3 + 54*w**2 - 243*w + 232. Let i(s) = 8*g(s) + 3*o(s). Factor i(c).
2*(c - 29)*(c - 2)**2
Suppose -7*b - 2*p = -12*b - 6, b + 2*p - 6 = 0. Determine o so that 6/7*o - 9/7*o**2 + b + 0*o**3 + 3/7*o**4 = 0.
-2, 0, 1
Suppose l + 2*j = 12, 4 = -0*l + 3*l - 2*j. Factor 3*t**3 + 5*t**4 + 2*t**l - 4*t**4.
3*t**3*(t + 1)
Let a(f) be the second derivative of -f**8/336 + f**6/36 - 5*f**4/24 + 7*f**3/3 - 11*f. Let t(d) be the second derivative of a(d). Factor t(k).
-5*(k - 1)**2*(k + 1)**2
Factor 1/5*j**2 + 1/5*j - 2/5.
(j - 1)*(j + 2)/5
Determine x, given that -226 - 195 - 244*x - x**2 - 43 + 5*x**2 - 40 = 0.
-2, 63
Let x(l) be the third derivative of l**6/120 - l**5/160 - 13*l**3/6 + 9*l**2. Let k(f) be the first derivative of x(f). Factor k(h).
3*h*(4*h - 1)/4
Let f = 1303/7469 + 5/679. Factor -12/11*q + f*q**2 + 0.
2*q*(q - 6)/11
Let z(y) be the second derivative of -y**6/10 + 6*y**5/5 - 23*y**4/4 + 14*y**3 - 18*y**2 + 83*y. Find x, given that z(x) = 0.
1, 2, 3
Solve -93*j + 4*j**2 - 43*j + 2*j**3 - 49 + 38*j - 3*j**2 = 0.
-7, -1/2, 7
Suppose -3*x - 13*u + 27 = -10*u, 0 = -4*u + 16. Factor 5/2*k**2 + 0 - 1/2*k**4 - 1/2*k**x + 3/2*k**3 + k.
-k*(k - 2)*(k + 1)**3/2
Let p = -113/54 - -13/6. Let l(j) be the first derivative of 5 - p*j**3 + 2/9*j**2 - 2/9*j. What is g in l(g) = 0?
1
Let w = 9 + 3. Suppose 2*f = k + 8, -w = -2*f + 3*k - k. Factor 3*p**2 - 4*p - 1 - f*p**2 + 5.
(p - 2)**2
Let p be 1/4 + (-2 - 147005/(-49900)). Let s = 2/499 + p. Factor -4/5 - s*b - 2/5*b**2.
-2*(b + 1)*(b + 2)/5
Suppose -f + 2*t - 7*t - 4 = 0, f = -4*t - 1. Suppose 2*h + f*h = -h. Solve 2/11*g**2 + 2/11*g**3 + h + 0*g = 0.
-1, 0
Factor 2/5*f**2 + 32/5 + 16/5*f.
2*(f + 4)**2/5
Let b(w) be the second derivative of 8*w + 0 + 0*w**2 - 1/3*w**4 - 3/5*w**5 - 2/21*w**7 + 0*w**3 - 2/5*w**6. Factor b(a).
-4*a**2*(a + 1)**3
Factor 9/4*k**4 + 0*k**2 - 3/4*k**5 + 0 - 3/2*k**3 + 0*k.
-3*k**3*(k - 2)*(k - 1)/4
Let x(v) be the second derivative of -v**7/231 - 16*v**6/165 - 69*v**5/110 - 15*v**4/11 - 3*v - 143. Determine g, given that x(g) = 0.
-10, -3, 0
Let p(i) be the third derivative of -i**5/300 + 17*i**4/40 + 196*i**2. What is d in p(d) = 0?
0, 51
Let u(f) be the first derivative of -f**6/4 - 3*f**5/10 + 9*f**4/4 - f**3 - 15*f**2/4 + 9*f/2 - 86. Solve u(w) = 0.
-3, -1, 1
Factor 7*f**2 - 3*f**2 + 0*f**2 - 12*f + 4*f - 2*f**2.
2*f*(f - 4)
Let c(h) be the third derivative of -h**8/1512 - h**7/135 - h**6/36 - 13*h**5/270 - h**4/27 - 133*h**2. Factor c(d).
-2*d*(d + 1)**3*(d + 4)/9
Factor 3 - 22 + 70*j + 102 + 5*j**2 + 37.
5*(j + 2)*(j + 12)
Let g(f) = -2*f**3 - 142*f**2 + 292*f + 2. Let v be g(-73). Factor -2/15*n**v - 2/15*n + 4/15.
-2*(n - 1)*(n + 2)/15
Determine u so that 210*u**2 + 43 - 108 + 80*u + 65 + 25*u**3 = 0.
-8, -2/5, 0
Let t(s) be the first derivative of -3*s**4/28 - 17*s**3/7 - 24*s**2/7 - 115. Determine l, given that t(l) = 0.
-16, -1, 0
Factor 3*p**2 + 24 - 26 + 9*p - p**2 - 34 + 5*p.
2*(p - 2)*(p + 9)
Let s(n) = -2*n**2 + 31*n + 53. Let x = 68 - 51. Let t be s(x). Find w, given that 1/4*w**3 - 1/4*w**t - 1/8*w + 1/8 - 1/8*w**5 + 1/8*w**4 = 0.
-1, 1
Let w(v) be the third derivative of -v**8/280 + 32*v**7/525 + 13*v**6/300 - 11*v**5/75 + 46*v**2. Solve w(n) = 0.
-1, 0, 2/3, 11
Let b = -173 - -178. Let x(n) be the third derivative of 0*n**4 + 0*n + 0 - 1/30*n**3 + 1/300*n**b + n**2. Suppose x(y) = 0. Calculate y.
-1, 1
Let k(s) be the first derivative of -1/2*s**4 + 1/5*s**5 - s - 1 + s**2 + 0*s**3. Determine f, given that k(f) = 0.
-1, 1
Let q(w) be the third derivative of -w**8/112 + 2*w**7/35 - 3*w**6/40 - w**5/5 + w**4/2 + 74*w**2. Determine x, given that q(x) = 0.
-1, 0, 1, 2
Let v(b) be the first derivative of -5*b**3/3 + 45*b**2/2 - 90*b - 141. Factor v(q).
-5*(q - 6)*(q - 3)
Let o(b) = 2*b**2 + b + 3. Let d be o(-1). Determine a so that -17*a**2 + 4 - a**4 - 4*a**d + 37*a**3 - 19*a**3 = 0.
-2/5, 1, 2
Suppose 5*m - 19 = t, 4*t + 2 - 6 = 0. Suppose m = 3*z - 5. Suppose z*u**4 - u**4 + 3*u + 4*u**3 - 7*u - 2*u**2 = 0. Calculate u.
-2, -1, 0, 1
Let p(b) be the third derivative of -b**7/17640 + b**5/840 - 31*b**4/24 - b**2. Let n(a) be the second derivative of p(a). What is i in n(i) = 0?
-1, 1
Solve -85*i - 2*i**2 + 4 + 44*i**2 - 2*i**3 + 28*i**2 - 13*i**3 + 26 = 0 for i.
2/3, 1, 3
Let a(s) = -s**3 + s**2 - 2*s + 2. Let p(x) be the first derivative of -3*x**4/4 + x**3 - 5*x**2/2 + 5*x + 6. Let h(l) = 5*a(l) - 2*p(l). Factor h(y).
y**2*(y - 1)
Factor c**3 + 3*c**4 - 174*c**2 + 8*c**3 + 174*c**2.
3*c**3*(c + 3)
Let u(s) be the first derivative of -s**6/27 + 4*s**5/9 - 16*s**4/9 + 76*s**3/27 - 5*s**2/3 + 611. Determine t, given that u(t) = 0.
0, 1, 3, 5
Let z(v) = 7*v**4 - 4*v**3 - 6*v**2 + 4*v - 1. Let k = 15 + -21. Let h(b) = -b**4 + b**3 + b**2 - b. Let m(o) = k*h(o) - z(o). Let m(t) = 0. What is t?
-1, 1
Let k = -1634 + 1639. Let i(q) be the third derivative of 1/54*q**4 - 1/27*q**3 - 1/270*q**k + 0*q + 10*q**2 + 0. Factor i(v).
-2*(v - 1)**2/9
Factor 20/11*m**3 + 0*m + 2/11*m**4 + 0 + 0*m**2.
2*m**3*(m + 10)/11
Factor 5/2*u + 5/6*u**3 + 0 + 25/6*u**2 - 5/6*u**4.
-5*u*(u - 3)*(u + 1)**2/6
Let f = -6 + 9. Factor q**3 + q**4 + 4*q**4 - 2*q**3 + 6*q**f.
5*q**3*(q + 1)
Let h be 24/(-36) - 46/(-6). Suppose -h*v = -3*v - 12. Factor r**4 + v*r**5 + 8*r**4 - 3*r**4 + 3*r**3.
3*r**3*(r + 1)**2
Let x be (-1)/3 - 1/(-3). Suppose 62*l + 2 - 3 = -1. What is w in 0*w + x*w**4 - 2/3*w**3 + l*w**2 + 0 + 2/3*w**5 = 0?
-1, 0, 1
Let g(d) be the first derivative of 1/9*d**2 + 12 - 2/27*d**3 + 4/9*d. Let g(x) = 0. Calculate x.
-1, 2
Let m(h) = -5*h**4 + 36*h**3 + 26*h**2 - 85*h + 61. Let i(n) = n**4 - 7*n**3 - 5*n**2 + 17*n - 12. Let z(c) = 11*i(c) + 2*m(c). Factor z(x).
(x - 5)*(x - 1)**2*(x + 2)
Let m = -448 + 13441/30. Let x(b) be the third derivative of 0*b + 1/12*b**4 + 0*b**3 - m*b**5 + 0 + 3*b**2. Factor x(h).
-2*h*(h - 1)
Let k(b) be the third derivative of -b**9/15120 - b**8/1260 + b**7/420 + b**6/10 + b**5/10 + 2*b**2. Let s(r) be the third derivative of k(r). Factor s(v).
-4*(v - 2)*(v + 3)**2
Let s(m) = -m**2 - 29*m - 30. Let y(h) = -6*h**2 - 201*h - 210. Let q(d) = 15*s(d) - 2*y(d). Find a such that q(a) = 0.
-10, -1
Let d(z) be the first derivative of 1/6*z**3 - 1/8*z**2 + 0*z + 6 - 1/16*z**4. What is k in d(k) = 0?
0, 1
Suppose -2*r = 3*x + 160 - 174, -2*x + 3*r + 31 = 0. Let b(v) be the third derivative of -x*v**2 + 1/210*v**5 + 1/21*v**3 + 0 + 1/42*v**4 + 0*v. Factor b(s).
2*(s + 1)**2/7
Determine l, given that 151 + 272*l - 208*l + 41 + 4*l**2 = 0.
-12, -4
Let w(m) = -4*m**3 - 114*m**2 - 2