rivative of c(d). Factor l(s).
5*(3*s - 5)**2
Let t(a) be the third derivative of a**8/336 - a**7/30 - a**6/120 + 43*a**5/60 - 6*a**3 + 2*a**2 + 1860*a. Suppose t(j) = 0. What is j?
-2, -1, 1, 3, 6
Let q be 6 + 0 - 29/((-29)/6). Let j(l) be the first derivative of 18*l**4 + 4*l**2 + 2/5*l + 236/15*l**3 + 162/25*l**5 + q. Factor j(g).
2*(g + 1)**2*(9*g + 1)**2/5
Let k be 34 + -23 - 6924/630. Let d(r) be the second derivative of -2/35*r**5 + 0 - 1/7*r**4 - 13*r - 1/7*r**2 - k*r**6 - 4/21*r**3. Factor d(c).
-2*(c + 1)**4/7
Let o(f) be the third derivative of -1/210*f**7 - 1/24*f**6 + 0*f**4 + 0*f**3 + 0*f - 1/10*f**5 + 25*f**2 + 0. Factor o(k).
-k**2*(k + 2)*(k + 3)
Let d(u) = -1280*u**2 - 12*u. Let o(l) = -853*l**2 - 7*l. Let v(x) = -5*d(x) + 8*o(x). Factor v(t).
-4*t*(106*t - 1)
Let c be -4 + 7 + 2 + -5. Let n(z) be the second derivative of 0*z**4 + 0*z**6 + c*z**3 - 5/42*z**7 - 11*z + 0*z**2 + 0 + 1/4*z**5. Suppose n(a) = 0. What is a?
-1, 0, 1
Let l = -2264/1443 + 59/37. Let y(i) be the second derivative of -1/39*i**4 + 20*i + 2/13*i**2 + l*i**3 - 1/130*i**5 + 0. Suppose y(n) = 0. What is n?
-2, -1, 1
Let u(d) = 19*d**4 + 139*d**3 + 287*d**2 + 125*d + 30. Let l(z) = 18*z**4 + 140*z**3 + 284*z**2 + 130*z + 28. Let p(n) = -6*l(n) + 5*u(n). Factor p(f).
-(f + 1)**2*(f + 9)*(13*f + 2)
Let s(c) = 8*c + 15. Let f be s(0). Find m, given that 2 - f*m + m**2 - 42 - 5*m**2 + 43*m = 0.
2, 5
Let d(i) be the second derivative of -1/3*i**4 + 0 + 40*i - 1/10*i**5 - 1/90*i**6 + 0*i**2 + 31/6*i**3. Let o(p) be the second derivative of d(p). Factor o(j).
-4*(j + 1)*(j + 2)
Factor 3892*a + 236 + a**2 + 4000*a - 8840*a + 15*a**2.
4*(a - 59)*(4*a - 1)
Let n = -375 - -370. Let l be 6/45 - 1/n. Find h, given that -h**2 - l*h**3 - 1/3 - h = 0.
-1
Suppose -33*l + 162 = -31*l. Let h = l + -78. Determine q, given that 64 - 3*q**h + 112*q + q**3 - 6*q**3 - 4*q**4 + 4*q**3 + 48*q**2 = 0.
-2, -1, 4
Suppose 40*m - 59*m = -3458. Let l be (52/m)/((-44)/(-28)). Factor 12/11*a**2 - l*a**4 - 16/11*a + 0*a**3 + 6/11.
-2*(a - 1)**3*(a + 3)/11
Find q, given that 101/8*q - 343/8*q**5 - 5/8 + 553/4*q**3 - 325/4*q**2 + 1519/8*q**4 = 0.
-1, 1/7, 5
Suppose -30 = 2*a + 5*t, 4*a - 12 = -5*t - 42. Let h(u) be the second derivative of a*u**2 + 10/3*u**3 + 0 - 21*u - 1/3*u**4. Factor h(b).
-4*b*(b - 5)
Let t(b) = b**3 + 23*b**2 + 24*b + 47. Let x be t(-22). Factor 186*w**2 + 3*w**5 - 129*w + 33 + 35*w**x + 21*w**4 - 307*w**3 + 158*w**3.
3*(w - 1)**4*(w + 11)
Suppose 24*u - 35*u + 33 = 0. Suppose 0 = -0*o + u*o + 4*g, 3*g = 0. Factor 2/7*j**3 - 6/7*j + o*j**2 - 4/7.
2*(j - 2)*(j + 1)**2/7
Let y(z) be the second derivative of -109/36*z**3 + 37/24*z**4 - 213*z + 0 - 1/6*z**2. Factor y(g).
(g - 1)*(111*g + 2)/6
Suppose -m**2 - 3931*m - 4*m**3 + m**3 + 3934*m + m**4 = 0. What is m?
-1, 0, 1, 3
Let b be (7 + 1520 - (-25)/(-5))/2. Let x = b + -759. Find w, given that -1/5*w**5 + 2/5*w**3 + 0*w**4 + 0 + 0*w**x - 1/5*w = 0.
-1, 0, 1
Let c(j) be the first derivative of -12*j**5/5 - 243*j**4/4 + 156*j**3 + 66*j**2 + 1671. Let c(y) = 0. Calculate y.
-22, -1/4, 0, 2
Let t = -2064367/5 - -412893. Factor -12/5 - t*o - 16/5*o**2.
-2*(o + 6)*(8*o + 1)/5
Let t(x) be the second derivative of -179/36*x**4 - 2*x**2 - 1/18*x**6 - 47/20*x**5 + 0 + 89*x - 40/9*x**3 + 25/126*x**7. Determine v so that t(v) = 0.
-1, -2/5, 3
Let v be -3*240*((-112)/(-35) - 4). What is d in -188*d**2 - 56*d**3 - v - 104*d**2 - 85*d**4 + 81*d**4 - 672*d = 0?
-4, -3
Suppose 0 = -6*s + 8*s - 8. Suppose -x + 4 = -s*w + 2, 0 = 5*w. Factor 19*b**2 + 97*b + b**x - 5*b**3 + 10 - 122*b.
-5*(b - 2)*(b - 1)**2
Let w(g) be the second derivative of -g**7/14 + 19*g**6/10 + 3*g**5/4 - 95*g**4/4 - 2*g**3 + 114*g**2 + 1563*g. Let w(s) = 0. Calculate s.
-2, -1, 1, 2, 19
Let j be (4 - 164/6)*(-144)/56. Solve -j*z + 78/7*z**2 - 168 - 3/7*z**3 = 0 for z.
-2, 14
Suppose g + 50 = -g. Let t be (g/(-30))/(40/16)*0. Factor t*j + 1/2*j**2 + 0 + 4*j**3.
j**2*(8*j + 1)/2
Let y(s) = -8*s**2 - 39498*s + 46294399. Let k(w) = 3*w**2 + 13140*w - 15431466. Let q(f) = -17*k(f) - 6*y(f). Factor q(v).
-3*(v - 2268)**2
Let c be 13/((-104)/40) + 8. Suppose -c*f + 3 = -2*f. What is x in -6/13*x**2 + 0 - 4/13*x + 0*x**f + 2/13*x**4 = 0?
-1, 0, 2
Suppose 0 = 76*o + 83*o - 11598 + 10803. Suppose -24/5*u**4 + 6/5*u**3 - 24/5 - 3/5*u + 48/5*u**2 - 3/5*u**o = 0. Calculate u.
-8, -1, 1
Let g(v) be the third derivative of -v**6/120 + 13*v**5/5 - 507*v**4/2 - 1762*v**2. Factor g(x).
-x*(x - 78)**2
Suppose -11*s = s - 0*s + 3*s. Let n(v) be the second derivative of 0 + 36*v + s*v**3 + 1/3*v**4 - 2*v**2. Factor n(k).
4*(k - 1)*(k + 1)
Find c, given that 0 + 324*c**4 - 129/2*c - 1743/2*c**3 + 8*c**5 - 496*c**2 = 0.
-43, -1/4, 0, 3
Let z be ((-3840)/50)/12*5/(-2). Factor -49*w + 78*w**2 + 3*w**4 - 15*w - 3*w**4 + 3*w**4 - 33*w**3 + z*w.
3*w*(w - 8)*(w - 2)*(w - 1)
Find f such that 450456/5*f + 822/5*f**2 + 1/10*f**3 + 82283296/5 = 0.
-548
Let f(i) = -42*i**2 - 4*i + 20. Let w be f(3). Let z = w + 1114/3. Find x, given that 0*x - 16/3*x**2 + 0 - z*x**3 = 0.
-4, 0
Solve -24*n**2 - 20*n**2 - 8 - 32*n**2 + 10*n + 74*n**2 = 0 for n.
1, 4
Let n(p) be the first derivative of p**3/18 - 605*p**2 + 2196150*p - 9161. Factor n(c).
(c - 3630)**2/6
Let v(i) be the first derivative of -11 + 79*i**2 + 40*i - 8/3*i**3. Factor v(u).
-2*(u - 20)*(4*u + 1)
Let t = -598 + 610. Let o(w) = -w**3 + 13*w**2 - 16*w + 51. Let p be o(t). Find s such that -5/4 + 15/4*s - 15/4*s**p - 5/4*s**2 + 5/2*s**4 = 0.
-1, 1/2, 1
Let x(a) be the second derivative of -1/30*a**6 - 13/20*a**5 - 11/6*a**3 + 0*a**2 + 0 - 23/12*a**4 + 35*a. Factor x(w).
-w*(w + 1)**2*(w + 11)
Factor 0 - 196/5*b**2 - 8/5*b.
-4*b*(49*b + 2)/5
Suppose 4*g - 5*g - 5*v + 7 = 0, 0 = -g - 3*v + 11. Let -9*x**2 + 3*x**4 + 2*x**3 - 6*x**4 - g*x**3 + 3*x**5 = 0. Calculate x.
-1, 0, 3
Factor 0 - 580*z - 2025*z**2 + 35/2*z**3.
5*z*(z - 116)*(7*z + 2)/2
Factor 1/5*l**3 - 1/5*l - 1 + l**2.
(l - 1)*(l + 1)*(l + 5)/5
Let c = -588 - -1304. Let u = c + -716. Let u*d - 4/3*d**4 + 0 + 4/3*d**2 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let f(y) be the third derivative of -1/540*y**6 + 0*y + 19/135*y**5 + 4/3*y**3 - 73/108*y**4 + 0 + 123*y**2. Factor f(a).
-2*(a - 36)*(a - 1)**2/9
Let k(r) be the third derivative of -r**7/1260 - 7*r**6/720 - 17*r**5/360 - 17*r**4/144 - r**3/6 - 29*r**2 - 3. Solve k(y) = 0 for y.
-3, -2, -1
Let l(f) be the first derivative of 34 - 2*f**2 + 1/2*f**4 + 0*f - 2/3*f**3. Solve l(i) = 0 for i.
-1, 0, 2
Suppose -3*n + 4 = -2. Let g be -4 - (-3 + -3) - 0/(-3). Suppose -b**g + 0*b + 11*b + n*b - 7*b = 0. What is b?
0, 6
Let f(g) be the second derivative of g**4/54 + 136*g**3/27 + 15*g**2 + 15*g + 28. Factor f(j).
2*(j + 1)*(j + 135)/9
Let f(h) be the second derivative of -3*h**5/20 - 2*h**4 + h**3/2 + 12*h**2 - 37*h. What is r in f(r) = 0?
-8, -1, 1
Let y(g) = 5*g**2 + 78*g + 53. Let f be y(-16). Determine q, given that -f*q**3 - 10364*q**2 - 30*q + 10279*q**2 - 2*q**5 - 35*q**4 - 3*q**5 = 0.
-3, -2, -1, 0
Factor 38/9*q + 644/3 - 2/9*q**2.
-2*(q - 42)*(q + 23)/9
Let y(z) = -348*z**2 - 6*z - 4. Let s be y(-2). Let m = s - -2216. Factor 8*q + m*q**4 - 8*q**3 + 4 - 836*q**4 + 0.
-4*(q - 1)*(q + 1)**3
Suppose -573 - 3741 = -1438*p. Determine g so that 2*g - 16 + 1/2*g**4 + 12*g**2 - 11/2*g**p = 0.
-1, 2, 8
Let o(q) be the third derivative of 36*q**2 - 1/3*q**3 + 0 - 1/16*q**4 + 1/120*q**5 + 0*q. Factor o(r).
(r - 4)*(r + 1)/2
Let w = 50/31 + -2969/1860. Let y(k) be the third derivative of w*k**6 + 1/30*k**5 - 12*k**2 - 1/12*k**4 + 0 + 0*k - 1/3*k**3. Factor y(m).
2*(m - 1)*(m + 1)**2
Let i(r) be the third derivative of -1/270*r**5 + 0*r**3 + 0*r + 1/27*r**4 + 14*r**2 + 0. Determine t so that i(t) = 0.
0, 4
Let l = 49391969/57087 + 108/6343. Let h = l + -865. Factor 0*s**2 - 2/9*s**4 - h*s**5 + 0*s + 4/9*s**3 + 0.
-2*s**3*(s - 1)*(s + 2)/9
Let z be 45/36*4/(-10)*-10. Let -2*o**4 + 7*o + 2*o**2 - 7*o - 284*o**3 + 2*o**z + 282*o**3 = 0. What is o?
-1, 0, 1
Let t be (-11375)/(-2175) - 147/(-1421). Factor -4 - t*w - 1/3*w**3 - 7/3*w**2.
-(w + 2)**2*(w + 3)/3
Let t = 250646 + -250643. Suppose -3*o = -3*q - 6, -3*q = -5*o - 0*o + 10. Solve 0 + 0*w + 40/7*w**4 + q*w**2 - 8/7*w**t - 6*w**5 = 0 for w.
0, 2/7, 2/3
Let n(w) be the first derivative of -w**3 - 30*w - 