2/2 + 5*w + 39. Let i(t) be the second derivative of q(t). Factor i(d).
-2*d*(d - 4)**2/9
Suppose -90*d - 10 = -95*d. Factor 10*v + 45*v**3 + 7*v**4 - 24*v**d - 12*v**4 + 78*v - 96*v**2 + 12*v.
-5*v*(v - 5)*(v - 2)**2
Let s(n) be the third derivative of -n**8/420 + n**7/210 - 109*n**3/6 - 51*n**2 - 2*n. Let k(v) be the first derivative of s(v). Factor k(b).
-4*b**3*(b - 1)
Let m(z) be the second derivative of -4225*z**4/42 + 130*z**3/3 - 7*z**2 + z - 817. Suppose m(w) = 0. What is w?
7/65
Suppose 238 + 330 = 5*o + 3*k, -2*o - k = -228. Let p = o + -113. What is m in -2/5*m**4 + 0 - 6/5*m**p - 2/5*m - 6/5*m**2 = 0?
-1, 0
Factor 17/2*o - 35/4 + 1/4*o**2.
(o - 1)*(o + 35)/4
Let v(m) be the second derivative of -1/2*m**2 - 1/15*m**5 + 0 + m + 2/3*m**4 - 8/3*m**3. Let z(g) be the first derivative of v(g). Let z(i) = 0. What is i?
2
Let t(a) = 13*a**2 - 27*a + 9. Let k be t(3). Let d be (15/(-63))/(12/((-1944)/k)). Factor 0 - 9/7*q**4 + 0*q + 0*q**2 - 3/7*q**5 - d*q**3.
-3*q**3*(q + 1)*(q + 2)/7
Let v be -2*30/(-10) + -4. Determine y, given that 1/2*y**v + 3 + 7/2*y = 0.
-6, -1
Let o(v) = -v**3 - 26*v**2 - 24*v + 4. Let f be o(-25). Let k be 6/f - ((-1248)/(-126))/(-2). Factor 6*h**2 - k*h - 4/3.
2*(h - 1)*(9*h + 2)/3
Let w = -97527 + 97530. Find l such that 10/3*l**w + 0 + 8/3*l**4 + 2/3*l**5 + 0*l + 4/3*l**2 = 0.
-2, -1, 0
Let y(r) = -2*r - 32. Let n be y(-21). Suppose 0 = -3*x, 0*f - 2*x + n = 5*f. Factor 0*w**2 + 5*w**f + 2 - 4*w**2 + 3*w.
(w + 1)*(w + 2)
Let m(n) be the third derivative of n**5/45 + 493*n**4/6 - 3486*n**2. Let m(v) = 0. Calculate v.
-1479, 0
Let v(n) be the second derivative of -n**5/110 - 4*n**4/11 - 25*n**3/11 + 100*n**2/11 + 2595*n. Factor v(u).
-2*(u - 1)*(u + 5)*(u + 20)/11
Factor 237/5*i**4 + 3/5*i**5 + 0 + 0*i - 960*i**2 + 912*i**3.
3*i**2*(i - 1)*(i + 40)**2/5
Let l(u) = -4*u**3 - u**2 - 15*u. Let c be l(-3). Determine a, given that 15466*a**2 - 15467*a**2 - 10*a - 14*a - c = 0.
-12
Factor -1/7*p**4 + 18/7*p**3 + 52/7*p + 0 - 69/7*p**2.
-p*(p - 13)*(p - 4)*(p - 1)/7
Suppose -4*b + y + 4*y - 1137 = 0, 5*y + 879 = -3*b. Let s be b/(-132) - 2/11. Factor 2*l**s - l - 8 + 8 + 2 - 3*l.
2*(l - 1)**2
Let v(w) = w**2 + 3*w + 6. Let c be v(-3). Suppose -2*q - 2 = -3*l, l - 5*q + 2 = -c. Solve 3*h**4 - 5*h + h**3 - 3*h**l + 3*h - 30*h**5 + 31*h**5 = 0 for h.
-2, -1, 0, 1
Let -27 + 18*d**2 + 120 - 33*d - 26 - 17 - 3*d**3 - 32 = 0. Calculate d.
1, 2, 3
Let j(x) = -52*x + 5824. Let s be j(112). Let l(r) be the second derivative of -1/5*r**5 - 72*r**2 - 5*r - 16*r**3 + s + 11/3*r**4. Let l(o) = 0. What is o?
-1, 6
What is f in 27/2*f**5 + 693/2*f**4 - 1185/2*f**2 - 699*f - 132 + 2127/2*f**3 = 0?
-22, -4, -1/3, 1
Factor -3/5*x**3 + 4239/5*x**2 + 4233/5 - 8469/5*x.
-3*(x - 1411)*(x - 1)**2/5
Let m(l) = -95*l**2 + 215*l - 660. Let f(d) = -6*d**2 - d - 1. Let s(g) = 15*f(g) - m(g). Factor s(h).
5*(h - 43)*(h - 3)
Let d(y) = y**2 + 17*y + 14. Let h be d(-16). Let m be (7 - 5)*h/(-8)*74. Suppose 11*g**2 + 18*g**2 + 8 + 12*g - m*g**2 = 0. Calculate g.
-1/2, 2
Let y = -107 + 107. Determine k, given that 80*k**2 - 4*k**4 - 108*k**2 - 12*k + y*k**4 - 20*k**3 = 0.
-3, -1, 0
Let h(p) = -3*p**2 - 1. Let s(k) = -11*k**2 + 700*k + 703. Let f(v) = -2*h(v) + s(v). Let f(r) = 0. Calculate r.
-1, 141
Let n = -95 - -366. Let x = 273 - n. Find q, given that -8/3*q**x + 0 - 2*q**3 + 8/3*q + 2/3*q**5 + 4/3*q**4 = 0.
-2, 0, 1
Let v(o) be the third derivative of o**6/144 - 23*o**5/18 - 2395*o**4/144 - 485*o**3/6 + 2431*o**2 - 3. Factor v(r).
5*(r - 97)*(r + 2)*(r + 3)/6
Let t = 22 - 40. Let w = 20 + t. Let b(x) = -2*x**5 + 2*x**3 + 2*x**2 - 4*x + 2. Let d(s) = s**3 - s**2 + s - 1. Let h(u) = w*b(u) + 4*d(u). Factor h(l).
-4*l*(l - 1)**2*(l + 1)**2
Let c be (-735)/980*1/((-150)/16). Let l(f) be the first derivative of c*f**5 - 2*f + 6 + 8/15*f**3 + 6/5*f**2 - 3/5*f**4. Let l(t) = 0. What is t?
-1, 1, 5
Let t = -19877/17 - -178910/153. Factor 784/9 + 56/9*n + t*n**2.
(n + 28)**2/9
Factor 2/7*r**5 + 0 + 0*r + 4*r**4 + 0*r**3 + 0*r**2.
2*r**4*(r + 14)/7
Suppose 4*u + 0 = 12. Suppose 0 = 5*c - 5, -u*i + 5*c = 2*i - 195. Factor -5*t**2 - 10 + 10*t - i + 25*t.
-5*(t - 5)*(t - 2)
Let l(j) = j**3 - 5*j**2 + 4*j - 6. Let a be l(4). Let x be ((-54)/45)/(a/10). Factor -24*w - 31*w - 33*w - 484 - 4*w**x.
-4*(w + 11)**2
Let c(y) = 2*y**3 + 16*y**2 - 7*y + 43. Let t be c(-10). Let i = t + 291. Factor 16/7*u**2 + 0 + 2/7*u**i - 10/7*u**3 - 8/7*u.
2*u*(u - 2)**2*(u - 1)/7
Let u(v) = 5*v**2 + v + 6. Let y(a) be the third derivative of 0 - 5/6*a**3 + 0*a**4 - 20*a**2 + 0*a - 1/15*a**5. Let j(i) = 3*u(i) + 4*y(i). Factor j(l).
-(l - 2)*(l - 1)
Let q(s) be the third derivative of 45*s**8/112 + 45*s**7/14 - 3*s**6/4 - 41*s**5/6 + 65*s**4/8 - 25*s**3/6 - 245*s**2. Determine g so that q(g) = 0.
-5, -1, 1/3
Determine o so that 23255/4*o**2 + 55 + 61425/4*o**4 + 63305/4*o**3 - 6125/4*o**5 + 930*o = 0.
-2/7, -1/5, 11
Let i(l) = -8*l - 772. Let k be i(-97). Let f(a) be the third derivative of -a**2 + 40/3*a**3 + 0*a - 7/12*a**5 - 5/3*a**k - 1/24*a**6 + 15. Factor f(u).
-5*(u - 1)*(u + 4)**2
Let h = -36910 + 36913. Let k(y) be the second derivative of 0 + 4*y**2 - 13*y - 23/3*y**h - y**4. Factor k(q).
-2*(q + 4)*(6*q - 1)
Factor 169/6*l**3 + 9165/2*l**2 + 326/3 - 1412*l.
(l + 163)*(13*l - 2)**2/6
Let y(r) be the second derivative of 0 + 1/98*r**7 + 3/10*r**5 + 1/10*r**6 - 27/14*r**2 - 15/14*r**3 + 1/14*r**4 + 97*r. Find o such that y(o) = 0.
-3, -1, 1
Let r(x) be the second derivative of -2 - x - 6/5*x**5 + x**3 - 3/4*x**4 + 0*x**2 - 3/10*x**6. Factor r(k).
-3*k*(k + 1)*(k + 2)*(3*k - 1)
Let x = -87 + 89. Let q = -381 + 381. Factor -8/9*o + q + 2/3*o**x + 2/9*o**3.
2*o*(o - 1)*(o + 4)/9
Let m(l) = -5*l**2 + 60*l - 70. Let c(h) = h + 2. Let i(q) = 5*c(q) + m(q). Let i(w) = 0. What is w?
1, 12
Let n(y) be the third derivative of -43*y**7/1365 - 11*y**6/195 - y**5/390 + 129*y**2 + 11*y. Determine j, given that n(j) = 0.
-1, -1/43, 0
Factor -57*c + 1/2*c**4 - 56*c**3 + 0 - 227/2*c**2.
c*(c - 114)*(c + 1)**2/2
Let n be -4*((-2277)/(-66))/(-69). Factor -2/7*z**3 + 2/7*z**n - 2/7 + 2/7*z.
-2*(z - 1)**2*(z + 1)/7
Let y be -1 - (1 - 4) - 1 - -319. Suppose 38*q**2 + 60*q - 8*q**2 - 280 + 5*q**3 + y = 0. Calculate q.
-2
Let s = -5420/31 + 114316/651. Factor 32/21 + 0*m - s*m**2 + 2/21*m**4 + 0*m**3.
2*(m - 2)**2*(m + 2)**2/21
Let g(i) be the second derivative of 2*i**6/45 + 43*i**5/90 + 13*i**4/27 - 175*i**3/27 + 100*i**2/9 + 3251*i. Let g(d) = 0. What is d?
-5, -4, 5/6, 1
Let q(l) = 4*l - 2. Let y be q(1). Suppose 45 + 37*x**2 + 47*x**2 - 19 - 80*x - 28*x**3 + y*x**4 - 4*x**3 = 0. What is x?
1, 13
Let o = -1703/3 + 326977/576. Let u = o - -1145/4032. Suppose 0 - 2/7*x**3 - 2/7*x**2 + 2/7*x**4 + u*x = 0. What is x?
-1, 0, 1
Let l = -278007/5 + 55611. Factor -72/5 + 22/5*p**2 + 2/5*p**3 + l*p.
2*(p - 1)*(p + 6)**2/5
Let x(v) be the second derivative of 5*v**3 + 75*v**2 + 1/8*v**4 + 120 - v. Factor x(z).
3*(z + 10)**2/2
Suppose 0 = -3*r + 21, 28*i - r = 17*i + 15. Factor 2/5*u**4 - 4/5*u + 4/5*u**3 - 2/5 + 0*u**i.
2*(u - 1)*(u + 1)**3/5
Determine y, given that 904/3*y**3 + 9360000*y + 1/3*y**4 + 91200*y**2 + 36000000 = 0.
-300, -4
Factor -12*z**2 + 3/2*z**4 + 216 - 144*z + 12*z**3.
3*(z - 2)**2*(z + 6)**2/2
Let q(t) be the second derivative of -t**7/105 + 11*t**6/75 + 4*t**5/5 + 14*t**4/15 + 22*t + 3. Solve q(b) = 0.
-2, -1, 0, 14
Let q(n) = 11*n**4 - 3*n**3 - 24*n**2 + 28*n + 28. Let y(k) = -10*k**4 + 3*k**3 + 24*k**2 - 28*k - 30. Let v(u) = 9*q(u) + 10*y(u). Let v(w) = 0. Calculate w.
-4, -1, 2, 6
Let o be 285/(-55) + (-4)/(-22). Let b be o/15 - 26/(-6) - 1. Factor -2*w**b - w + 4*w + 3*w**2 - 7*w**3 + 6*w**3 - 3.
-3*(w - 1)**2*(w + 1)
Suppose -2850 - 37/2*z**2 + 520*z - 1/2*z**3 = 0. What is z?
-57, 10
Let l(h) be the second derivative of -21/4*h**3 - 1/16*h**4 - 1323/8*h**2 + 0 - 65*h. Factor l(m).
-3*(m + 21)**2/4
Let a = 488 - 484. Factor -49*g - 50*g + 1 - g**a + 148*g - 47*g - 2*g**3.
-(g - 1)*(g + 1)**3
Let m(k) = 3*k**2 - 654*k + 34371. Let h(d) = 12*d**2 - 2614*d + 137480. Let n(x) = 6*h(x) - 23*m(x). Factor n(a).
3*(a - 107)**2
Let z(m) be the third derivative of m**7/630 - m**6/360 - 7*m**5/180 + 13*m**4/72 - m**3/3 - m**2 - 125*m. Suppose z(q) = 0. Calculate q.
-3, 1, 2
Let z(v) = 