o(q).
2*(q - 1)*(q + 3)*(2*q + 1)
Let d be 2 + 85/25 + 3 + (-17)/5. Let b(l) be the third derivative of 0*l + 0 - 5/9*l**3 - 25/144*l**4 + 19*l**2 - 1/72*l**d. Factor b(o).
-5*(o + 1)*(o + 4)/6
Let w(p) = -10*p**3 - 29*p**2 - 14*p + 2306. Let r(a) = -3*a**3 - a**2 + a - 2. Let f(x) = -3*r(x) + w(x). Factor f(c).
-(c - 8)*(c + 17)**2
Let v(i) be the first derivative of 14*i - 3*i**2 + 25 - 2/3*i**3. Let h(j) = -j + 1. Let y(c) = 6*h(c) - v(c). Factor y(s).
2*(s - 2)*(s + 2)
Let d(a) be the third derivative of -a**7/42 + 2*a**6/3 - 13*a**5/3 + 10*a**4 - 335*a**2. Determine t so that d(t) = 0.
0, 2, 12
Suppose d = 2*r + 21 - 34, d + 25 = 5*r. Factor 229*i**3 + 107 + 1191*i**2 + 27*i**r - 684*i + 1 - 343*i**3 - 228*i**3.
3*(i - 6)**2*(3*i - 1)**2
Let v(r) be the third derivative of -r**8/504 + r**7/105 - r**6/180 - r**5/30 + r**4/18 - 11*r**2 - 133*r. Determine x, given that v(x) = 0.
-1, 0, 1, 2
Let y = -40 - -43. Suppose -y*h - 4*s + 23 - 4 = 0, 2*s - 12 = -4*h. Let -304*u - 964*u**3 + 17 + 920*u**2 + 416*u**4 - 2 + 18 - 64*u**5 - h = 0. What is u?
1/4, 2
Let f(p) be the third derivative of -p**6/150 + 27*p**5/25 + p**4/30 - 54*p**3/5 - 14*p**2 - 12*p. Factor f(i).
-4*(i - 81)*(i - 1)*(i + 1)/5
Let g be (154144/(-17472) - 2/13) + 9. Let u(q) be the second derivative of -1/140*q**5 + 1/42*q**4 + 7*q + 0 - g*q**3 + 0*q**2. Find b, given that u(b) = 0.
0, 1
Let m(u) be the first derivative of 5*u**3/9 - 1055*u**2/3 + 222605*u/3 + 3093. Factor m(p).
5*(p - 211)**2/3
Let i(t) be the third derivative of 24*t**2 - 1/40*t**6 + 0 + 1/4*t**5 + 0*t**4 + 0*t**3 + 0*t. Suppose i(o) = 0. Calculate o.
0, 5
Let d(m) be the third derivative of -m**5/105 - 253*m**4/42 + 340*m**3/7 + 25*m**2 - 18*m. Factor d(o).
-4*(o - 2)*(o + 255)/7
Let f(c) = -37*c**3 + 257*c**2 + 13*c + 9. Let j be f(7). Let h(b) be the first derivative of 36/19*b + 280/57*b**3 - 49/38*b**4 - 93/19*b**j - 38. Factor h(v).
-2*(v - 2)*(7*v - 3)**2/19
Factor -1803*l - 64082*l**2 + 63164*l**2 - 924 + 3*l**3 - 42*l.
3*(l - 308)*(l + 1)**2
Let o(p) be the second derivative of 37*p**4/60 - 9*p**3/10 - p**2 - 78*p - 13. Factor o(y).
(y - 1)*(37*y + 10)/5
Let p(g) be the second derivative of -7*g**6/15 + 146*g**5/5 - 238*g**4 - 144*g**3 - 6315*g. Determine i, given that p(i) = 0.
-2/7, 0, 6, 36
Let u(p) be the second derivative of p**5/5 - 20*p**4/3 + 34*p**3/3 + 76*p**2 + 3539*p. Factor u(m).
4*(m - 19)*(m - 2)*(m + 1)
Let t(h) be the second derivative of 0*h**2 + 27/20*h**5 - 5/4*h**4 - 1/2*h**7 + 2*h - h**3 + 1/2*h**6 + 0. Suppose t(f) = 0. What is f?
-1, -2/7, 0, 1
Let r(x) be the first derivative of -3*x**5/20 - 11*x**4/8 - 5*x**3/4 - 188*x - 82. Let g(f) be the first derivative of r(f). Suppose g(m) = 0. What is m?
-5, -1/2, 0
Let b = -27/952 - -24887/4760. Suppose -1/5*p**2 + 0 + b*p = 0. Calculate p.
0, 26
Let q(h) be the third derivative of -h**6/600 + h**5/20 + 5*h**4/6 - 816*h**2. Factor q(b).
-b*(b - 20)*(b + 5)/5
Let n(k) be the second derivative of k**6/120 - 3*k**5/40 + 103*k**3/6 - 15*k. Let g(d) be the second derivative of n(d). Solve g(b) = 0 for b.
0, 3
Suppose -17*i + 1681 + 461 = 0. Find o such that 20*o**2 - i - 249 + 48*o - 21*o**2 - 201 = 0.
24
Let j(r) = 24*r**2 - 138*r**2 - 2 - 6*r - 19*r**2. Let q(i) = -265*i**2 - 10*i - 5. Let h(u) = 5*j(u) - 2*q(u). Factor h(b).
-5*b*(27*b + 2)
Let c(o) be the third derivative of -1/60*o**6 + 1/24*o**4 + 1/105*o**7 + 0 - 1/15*o**5 + 3*o**2 + 1/336*o**8 - 5*o + 1/3*o**3. Factor c(m).
(m - 1)**2*(m + 1)**2*(m + 2)
Let q = -209 + 224. Factor 411*y + y**2 - 5*y**4 + 4*y**2 - 426*y + q*y**3.
-5*y*(y - 3)*(y - 1)*(y + 1)
Let g(a) be the third derivative of 1 - 2/21*a**5 + 1/210*a**6 + 0*a + 25*a**2 + 20/21*a**3 - 1/42*a**4. Solve g(d) = 0 for d.
-1, 1, 10
Let i = -25894/105 + 5183/21. Factor y - 1/5*y**2 - i*y**3 - 3/5.
-(y - 1)**2*(y + 3)/5
Let z be 22/(-18) + 22/99. Let l be 6/(-15)*z*5. Find s, given that 3*s**3 + 3*s**l + 3 - 5 + 0*s**3 - 1 - 3*s = 0.
-1, 1
Let z(s) be the second derivative of s**7/7560 - s**6/540 - s**5/72 + s**4/3 + 2*s**2 - 14*s. Let b(f) be the third derivative of z(f). Factor b(l).
(l - 5)*(l + 1)/3
Let o(l) be the second derivative of -l**6/40 + 1839*l**5/80 - 1833*l**4/16 + 1831*l**3/8 - 915*l**2/4 - 3499*l. Determine m, given that o(m) = 0.
1, 610
Let x be 2604/(-9114) + ((-10)/8 + 1)/((-35)/740). Find n, given that 3/2*n + 15/4*n**4 - 27/4*n**3 + 0 - 15/4*n**2 + 21/4*n**x = 0.
-1, 0, 2/7, 1
Let o(f) be the first derivative of 21*f**4/4 - 2021*f**3 + 11103*f**2 + 6840*f + 13118. Find y such that o(y) = 0.
-2/7, 4, 285
Let n = -2764/16137 - -518/1467. Let -62/11 + n*p**3 - 6*p**2 + 126/11*p = 0. Calculate p.
1, 31
Let a(x) be the first derivative of 12/5*x**2 - 8*x - 2/15*x**3 - 42. Factor a(r).
-2*(r - 10)*(r - 2)/5
Suppose 2*v = -3*v + 15. Suppose -7*m + 3 = -v*m + 5*b, -13 = -4*m + 5*b. Factor 7*c**4 - 18*c**3 - 6*c**5 + 17*c + 11*c**5 + m*c**2 - 4*c**5 - 9.
(c - 1)**3*(c + 1)*(c + 9)
Let v(i) = 66*i**2 + 13*i - 35. Let z be v(-6). Suppose 6*l = z - 2251. Find m, given that 2/7*m**l + 2/7*m + 0 = 0.
-1, 0
Let p(m) = -5*m**3 - 472*m**2 + 1936*m - 1964. Let q(s) = 15*s**3 + 1417*s**2 - 5806*s + 5894. Let y(w) = 7*p(w) + 2*q(w). Factor y(x).
-5*(x - 2)**2*(x + 98)
Let b(y) be the third derivative of y**5/30 - 803*y**4/4 + 2408*y**3/3 + 10427*y**2. Factor b(f).
2*(f - 2408)*(f - 1)
Factor 1242 + 217*s + 638 + 5*s**2 - 348*s - 359*s.
5*(s - 94)*(s - 4)
Let s = -1/7701 + 7709/61608. Let j(l) be the second derivative of s*l**4 - 3/8*l**2 + 0 - 1/56*l**7 - 1/40*l**6 - 1/8*l**3 - 33*l + 3/40*l**5. Factor j(y).
-3*(y - 1)**2*(y + 1)**3/4
Let x = 654 - 389. Factor -d**5 + x*d**3 - 534*d**3 + 267*d**3 - 3*d**4.
-d**3*(d + 1)*(d + 2)
Let j = 43 + -39. Find x such that 15*x**j - 16 + 12 - 3*x - 13*x**4 - 7*x + 2*x**3 - 6*x**2 = 0.
-1, 2
Solve -322/5*o - 56/5*o**2 - 264/5 + 2/5*o**3 = 0 for o.
-4, -1, 33
Let l be (-111)/(1887/(-34)) + ((-4)/3 - -2). Factor 0 - l*j + 58/3*j**2.
2*j*(29*j - 4)/3
Let k(v) be the third derivative of -7/39*v**4 + 2/195*v**5 + 7/780*v**6 + 84*v**2 + 0*v + 0 + 0*v**3 - 1/1365*v**7. Determine u so that k(u) = 0.
-2, 0, 2, 7
Factor -3/4*c**3 - 336*c - 1323 - 111/4*c**2.
-3*(c + 9)*(c + 14)**2/4
Let m(c) = -58*c**2 + 23*c - 31. Let s(t) = -21*t**2 + 8*t - 11. Let z(p) = -8*m(p) + 22*s(p). Factor z(b).
2*(b - 3)*(b - 1)
Suppose -10/7 - 4/7*u**3 + 2/7*u**5 + 20/7*u**2 + 2/7*u - 10/7*u**4 = 0. What is u?
-1, 1, 5
Let o(v) be the first derivative of 172*v**3/21 + 25*v**2/3 + 4*v/21 + 1054. Determine f, given that o(f) = 0.
-2/3, -1/86
Let i(h) be the second derivative of h**4/60 - h**3/30 - 3*h**2 - 3946*h. Factor i(n).
(n - 6)*(n + 5)/5
Let z = -178 - -194. Factor -7*o**3 + o**4 + 0*o**2 - 596 - 12*o + z*o**2 + 596.
o*(o - 3)*(o - 2)**2
Suppose 28*h + 74 + 38 = 0. Let j be (33/(-22))/(33/h). Factor 0*p + 0*p**3 + 2/11*p**4 + 0 - j*p**2.
2*p**2*(p - 1)*(p + 1)/11
Let -85*j**3 - 1152*j**2 + 1532*j**2 - 1539*j + 405 - 440*j**3 + 1375*j**2 = 0. What is j?
3/5, 15/7
Suppose 1261/4 - 55/2*m + 1/4*m**2 = 0. What is m?
13, 97
Let n be (-1 + 2)*504/(-12). Let o = -39 - n. Factor -12*x**2 + o*x + 2 + 19*x**2 - 6*x**2.
(x + 1)*(x + 2)
Factor -8/3*p - 48 + 3*p**2 + 1/6*p**3.
(p - 4)*(p + 4)*(p + 18)/6
Let f(s) be the third derivative of 4/3*s**3 + 0*s - 10*s**2 + 0 + 1/600*s**6 + 1/200*s**5 - 1/20*s**4. Let l(r) be the first derivative of f(r). Factor l(u).
3*(u - 1)*(u + 2)/5
Let k = 0 + 2. Let n be (105/75)/(k/10). Factor -4*a**3 - 12 + 3*a**2 - 8*a - n*a**2 - 16*a**2 - 20*a.
-4*(a + 1)**2*(a + 3)
Let z(x) = 4*x**2 - 4. Let w be z(-4). Let s = w - 56. Factor -25*k**3 - 2 + 8*k**s + k**2 + 3*k**3 - 2*k + 17*k**2.
2*(k - 1)**3*(4*k + 1)
Let v = -92633 - -370607/4. Factor 1/8*r**3 + v*r**2 + 15625 + 1875/2*r.
(r + 50)**3/8
Solve -814/3 - 2/3*f**3 - 818/3*f**2 - 1630/3*f = 0.
-407, -1
Let l(u) be the third derivative of -u**8/420 + u**7/70 + u**6/90 - u**5/10 - 47*u**3/3 - 11*u**2 - 2*u. Let d(q) be the first derivative of l(q). Factor d(m).
-4*m*(m - 3)*(m - 1)*(m + 1)
Let f be 24*5/280 - (-36)/14. Let j be (0 + f)/(1/(-6)*-9). Determine c so that 3*c**j + 9/2*c**3 + 3/2*c**4 + 0 + 0*c = 0.
-2, -1, 0
Suppose 14*z - 9091 - 1885 = 0. Factor z*m**4 - 18*m**2 - 24*m - 781*m**4 + 5 - 14.
3*(m - 3)*(m + 1)**3
Let o be 30/(-