 + 4. Let a(f) = -3*f**2 - 2*f - 6. Let w(n) = 2*a(n) + 3*d(n). Let i be w(-2). Factor i*v + 1/4*v**3 - 5/4*v**2 - 1.
(v - 2)**2*(v - 1)/4
Let f be 1/2*-2*(5 + -7). Let k be (-56 - -53) + 10/f. Factor -4/17*d + 0 + 2/17*d**k + 2/17*d**3.
2*d*(d - 1)*(d + 2)/17
Suppose -4*y + 7 = 5*n, -y - 17*n + 12*n = 2. Suppose 4*w - 10 = -v + y, 0 = w + v - 1. Factor 15/4*j**2 + 0 + 3/4*j**w + 3*j**3 + 3/2*j.
3*j*(j + 1)**2*(j + 2)/4
Factor -297084 - 3*c**4 - 4*c**4 + 296204 - 16*c + 3*c**4 - 208*c**3 - 340*c**2 + 1000*c**2.
-4*(c - 2)**2*(c + 1)*(c + 55)
Let l(s) = -11*s**2 + 3710*s + 3448457. Let x(t) = 39*t**2 - 11128*t - 10345375. Let w(c) = -7*l(c) - 2*x(c). Let w(y) = 0. What is y?
-1857
Let g = -542 - -555. Factor -7*q**2 + 7*q**2 - q**5 + 2*q + 7*q**3 + 4*q - q**4 + g*q**2.
-q*(q - 3)*(q + 1)**2*(q + 2)
Let h(g) be the third derivative of -2*g**7/105 - 13*g**6/30 - 16*g**5/15 + 32*g**4 + 142*g**2 - 10*g. Factor h(c).
-4*c*(c - 3)*(c + 8)**2
Let s(j) be the second derivative of -j**6/150 - 9*j**5/25 + 5*j**4/4 - 19*j**3/15 + 2273*j. Factor s(z).
-z*(z - 1)**2*(z + 38)/5
Let g = -24 - -28. Suppose -4*v = -3*n - n - g, 0 = -4*v - n + 9. Suppose -5*m**3 - 9*m**2 + 6*m**3 + 8*m**4 + m**v - 4*m**5 + 3*m**3 = 0. Calculate m.
-1, 0, 1, 2
Let j be (150/210)/(1/7). Let -4*w**j - 24*w - 68*w**2 + 108*w**4 - 136*w**4 + 16*w**3 - 84*w**3 = 0. Calculate w.
-3, -2, -1, 0
Let u = 245 - 215. Factor 52*f**2 + 35*f - 37*f**2 - 2*f**4 - u - 15*f**3 + 0*f**3 - 3*f**4.
-5*(f - 1)**2*(f + 2)*(f + 3)
Let h(d) be the third derivative of -d**5/60 - 2*d**4/3 + 398*d**2 - 2. Determine f, given that h(f) = 0.
-16, 0
Let h(y) be the first derivative of -24/7*y + 1/14*y**4 - 48 - 4/7*y**2 + 2/7*y**3. Factor h(o).
2*(o - 2)*(o + 2)*(o + 3)/7
Suppose -4*l = 3*q - 545 - 44, -2*l = -2*q - 298. Suppose 3*t + 2*j = l, 4*t - 168 = -4*j + 24. Solve 5*r - t + 6*r**2 + r**2 - 2*r**2 + 42 = 0 for r.
-2, 1
Suppose 289 = w - 11*z + 168, 0 = w + 4*z + 44. Solve -2/3*l**4 + w - 8/3*l**3 + 22/3*l**2 - 4*l = 0 for l.
-6, 0, 1
Let i(p) = -5*p**2 + 3939*p + 3992013. Let k(g) = -2*g**2 - 19*g + 3. Let j(x) = i(x) - 3*k(x). Find h such that j(h) = 0.
-1998
Factor 1495 + 1387*j**4 + 3144*j**5 + 8950*j**2 - 5975*j - 361*j**4 - 3139*j**5 - 5950*j**3 + 449*j**4.
5*(j - 1)**4*(j + 299)
Factor -162/5 - 9/5*l + 3/5*l**2.
3*(l - 9)*(l + 6)/5
Factor 32 + 15 - p**2 - 14*p - 16*p - 113 + 13*p.
-(p + 6)*(p + 11)
Let o be 5*(-12)/90 + 273/315. Factor -o*x**2 + 0 + 7/5*x.
-x*(x - 7)/5
Suppose -3*u - 189 - 237 = -3*l, -4*l + 566 = -2*u. Let v = l + -138. Factor 1/10*k**v + 12/5*k - 8/5 - 9/10*k**2.
(k - 4)**2*(k - 1)/10
Let y(k) be the first derivative of k**4 + 88*k**3/3 + 248*k**2 + 672*k - 2247. Determine v so that y(v) = 0.
-14, -6, -2
Suppose 4*o - 4 = -12. Let a be ((-5)/10)/(o/8)*1. Solve a - 7/2*h + 3/4*h**2 = 0.
2/3, 4
Suppose -16 = 3*t - 34. Let v be (-12 - -3) + t - 11/(-3). Determine d, given that -v*d**2 + 0*d + 0 = 0.
0
Let q = -787/1695 + 60/113. Let f(h) be the first derivative of -2/75*h**5 + 6 + q*h**2 + 2/45*h**3 + 0*h - 1/30*h**4. Factor f(l).
-2*l*(l - 1)*(l + 1)**2/15
Let j(d) = -5*d**3 - 160*d**2 - 419*d + 620. Let i(w) = 70*w**3 + 2240*w**2 + 5865*w - 8670. Let z(x) = -4*i(x) - 55*j(x). Let z(p) = 0. Calculate p.
-29, -4, 1
Suppose -3*g + g + 24 = -4*w, 0 = -5*g - 3*w - 5. Factor -56*o**2 + 15*o**2 + 23*o**2 - 22*o + 16*o**g.
-2*o*(o + 11)
Let s = -492 - -494. Solve 220*f**s + 8724*f**5 + 403*f**4 + 20*f + 605*f**3 + 227*f**4 - 8499*f**5 = 0 for f.
-1, -2/3, -2/15, 0
Suppose -3 = -3*p + 3. Factor 5*r - 2*r - 13*r - r**p + 8*r**2 + 3.
(r - 1)*(7*r - 3)
Let q(a) be the first derivative of 3/5*a**2 + 0*a + 2/15*a**3 - 59. Let q(b) = 0. Calculate b.
-3, 0
Let f(r) be the first derivative of 59 - 4/25*r**5 + 6/5*r**2 + 0*r - 3/5*r**4 + 4/15*r**3. Let f(z) = 0. What is z?
-3, -1, 0, 1
Let k be (-3 + 8/3)*-1*36. Suppose 17*a - 11*a = k. Solve 0 + 1/5*z + 0*z**a - 1/5*z**3 = 0 for z.
-1, 0, 1
Factor -252/5*t**2 - 3/5*t**3 + 0 - 249/5*t.
-3*t*(t + 1)*(t + 83)/5
Let c(x) be the first derivative of -1/6*x**3 + 0*x + 7*x**2 + 88. Factor c(n).
-n*(n - 28)/2
Let v(b) = b**3 + 341*b**2 - 1263*b. Let t(l) = 10*l**3 + 2730*l**2 - 10105*l. Let p(q) = 3*t(q) - 25*v(q). Factor p(n).
5*n*(n - 63)*(n - 4)
Let n be (-2 - 0)*(-2)/38. Suppose z + 40 = -3*z - 5*v, -36 = v - 28. Factor -2/19*o**5 + 2/19*o**3 + z + 0*o + 2/19*o**2 - n*o**4.
-2*o**2*(o - 1)*(o + 1)**2/19
Let w(u) be the first derivative of -u**5/15 + 43*u**4/3 - 3698*u**3/3 - 47*u**2/2 - 34. Let n(f) be the second derivative of w(f). Factor n(r).
-4*(r - 43)**2
Let d(s) be the second derivative of -s**6/120 - 31*s**5/40 - 7*s**4/2 + 263*s**3/12 - 295*s**2/8 + 2307*s. Factor d(u).
-(u - 1)**2*(u + 5)*(u + 59)/4
Let o(g) be the second derivative of 0*g**2 - 1/5*g**5 + 0 - 2*g**4 + 39*g - 10/3*g**3. Factor o(b).
-4*b*(b + 1)*(b + 5)
Suppose -25*m - 33 = -2*x - 22*m, -2*x = 2*m - 8. Let 1/4*s**3 + 13/4*s**2 + x + 12*s = 0. What is s?
-6, -1
Let m = -67910/21 + 543847/168. What is o in -9/8*o**4 - 3/8*o**5 + 9/4*o**3 + m + 81/8*o + 39/4*o**2 = 0?
-3, -1, 3
Let 24/7*x**2 + 8/7*x**4 + 0*x + 38/7*x**3 + 0 = 0. What is x?
-4, -3/4, 0
Let m(x) = -18*x + 175. Let v be m(10). Let i(u) = -6*u - 30. Let z be i(v). Let z - 5/4*k**2 - 5/4*k = 0. What is k?
-1, 0
Let s(o) be the second derivative of 5*o**7/42 - 5*o**6/6 + o**5/4 + 85*o**4/12 - 55*o**3/3 + 20*o**2 - 5986*o. Find n, given that s(n) = 0.
-2, 1, 4
Let a(i) be the second derivative of -25*i**4 + 7/4*i**5 + 15*i - 2*i**2 + 0 - 1/24*i**6 + 250/3*i**3. Let d(w) be the first derivative of a(w). Factor d(u).
-5*(u - 10)**2*(u - 1)
Suppose 240 + 200 = -8*o. Let p be (-228)/(-380) + 23/o. Solve -4/11*i + 2/11 + p*i**2 = 0.
1
Let v(d) = -8*d + 3*d + 6 + 4*d + 2. Let o be v(5). Factor 0*g - 39*g**2 - 9 + 48*g**2 - o*g**3 + 3*g.
-3*(g - 3)*(g - 1)*(g + 1)
Let h(i) be the third derivative of 0*i - 1/1050*i**7 + 1/75*i**6 - 7/100*i**5 + 3/20*i**4 + 3*i**2 + 0*i**3 - 26. Factor h(l).
-l*(l - 3)**2*(l - 2)/5
Let v(f) be the third derivative of f**5/60 + 31*f**4/12 - 21*f**3/2 + 223*f**2. Factor v(o).
(o - 1)*(o + 63)
Let u = -27 - -32. Suppose 0 = -u*y + y - 4*c + 4, 5*y - 3*c = 13. Factor 15*f**2 - 2*f - 9*f**y - 5*f**2.
f*(f - 2)
Let n(r) = 10*r**4 + 54*r**3 + 6*r**2 - 54*r - 30. Let m(z) = -10*z + 111 - z + 11*z**3 + z**2 + 2*z**4 - 117. Let q(v) = 14*m(v) - 3*n(v). Factor q(i).
-2*(i - 1)*(i + 1)**2*(i + 3)
Let u(r) = r**2 - 7*r - 3. Let y be u(10). Suppose k + 3*w = y, k + 4*w = 3*w + 21. Factor 8*m**2 + k*m - 26*m - 2*m**3 + 1 - 1.
-2*m*(m - 2)**2
Let r(k) be the third derivative of 1/24*k**4 + 1/60*k**5 - 2*k**2 + 13*k + 0 + 1/18*k**3 + 1/360*k**6. Let r(i) = 0. Calculate i.
-1
Let z = -1408 + 1410. Let x(b) be the second derivative of -1/90*b**6 + 1/36*b**4 + 0*b**5 - 5*b + 0*b**z + 0*b**3 + 0. Factor x(r).
-r**2*(r - 1)*(r + 1)/3
Let -y**4 + 6752*y**2 - 42*y - 3385*y**2 - 12*y**3 - 16 - 3404*y**2 = 0. Calculate y.
-8, -2, -1
Let o(k) = 33*k**2 - 29048*k + 23503112. Let m(g) = 21*g**2 - 19367*g + 15668741. Let q(f) = 8*m(f) - 5*o(f). Find a, given that q(a) = 0.
1616
Factor -430*k**2 - 22*k**3 - 4000 - 6950/3*k + 2/3*k**4.
2*(k - 48)*(k + 5)**3/3
Suppose 22 = 3*o + 10. Determine x, given that -x - o - 8 + 2 - 4*x + 5*x**2 = 0.
-1, 2
Let x(m) be the third derivative of -64*m**2 - 3/5*m**3 + 1/120*m**6 + 1/1050*m**7 + 0*m + 1/300*m**5 + 0 - 7/40*m**4. Suppose x(l) = 0. Calculate l.
-3, -1, 2
Let f(z) = 42*z - 76. Let v be f(2). Suppose -v - 40 = -12*q. Solve 0 + 0*g**q + 0*g + 1/2*g**5 - 3/2*g**3 - g**2 = 0 for g.
-1, 0, 2
Let r = -6233/24 + 2107/8. Suppose -3/2*t - r + 1/6*t**2 = 0. Calculate t.
-2, 11
Let g be -2*(-3)/6 - (-258 + 13). Factor 751 + g + 0*x**2 - 17 - 140*x + 5*x**2.
5*(x - 14)**2
Let c = 11758 + -234603/20. Let l = c + -138/5. Suppose l*a**2 - 1/4*a + 0 = 0. Calculate a.
0, 1
Let m(o) be the second derivative of o**4/48 + 35*o**3/8 - 53*o**2/4 - 23*o + 43. Factor m(g).
(g - 1)*(g + 106)/4
Let h = -36335 + 36347. Let x(q) be the second derivative of -1/3*q**4 - 11*q - 1 + 10/3*q**3 - h*q**2. Determine w, given that x(w) = 0.
2, 3
Let l(b) = 2*b**2 + 4*b - 30. Let f(v) = 2*v**2 - 15*v + 20. Let u be f(6). Let s(q) = 2*q**2 + 4*q - 30. Let t(w) = u*s(w) - 3*l(w). Factor t(r).
-2*(r - 3)*(r + 5)
Le