lculate w.
-23, -1
Suppose 521 = 33*y - 964. Suppose 5*v**4 - 4*v**4 - 10 - 30*v**2 + y - 40*v**3 - 6*v**4 + 40*v = 0. What is v?
-7, -1, 1
Solve 0 - 2/5*c**4 - 108*c + 102/5*c**2 + 32/5*c**3 = 0 for c.
-5, 0, 3, 18
Suppose 9 = 3*v - 9. Solve v*d**3 + 4*d**4 - 4*d**3 + 6*d**3 - 6*d**5 + 2*d**5 = 0 for d.
-1, 0, 2
Solve -28*k**2 + 3*k + 95*k**4 + 93*k**4 - 233*k**4 - 53*k**3 - 34*k**3 - 11*k**2 = 0.
-1, 0, 1/15
Let u(z) be the second derivative of -3*z**5/160 - 167*z**4/32 + 85*z**3/2 - 513*z**2/4 - 1016*z. Factor u(g).
-3*(g - 2)**2*(g + 171)/8
Let l be (-12 - 1610/(-84)) + 2/(-12). Suppose 0 = 3*p - 4*g + l, -116*p - 5*g + 11 = -119*p. Factor -3/2*t**3 + 4*t + 0 + p*t**2 - 1/2*t**4.
-t*(t - 2)*(t + 1)*(t + 4)/2
Let d = -24287/3 + 8100. Let b(v) be the first derivative of 4/3*v - 4/5*v**5 + d*v**4 - v**6 + 8*v**3 - 44 + 5*v**2. What is q in b(q) = 0?
-1, -1/3, 2
Let r(v) = -7*v**2 - 8*v. Suppose 41 + 7 = -2*g. Let y(m) = m**2. Let d(f) = g*y(f) - 3*r(f). Factor d(b).
-3*b*(b - 8)
Suppose 0 = -c + 4*q + 3, 3*c - q + 3*q = 9. Solve 18 - 18*s**4 + 6*s - c*s - 14 - 49*s**2 + s + 59*s**3 = 0 for s.
-2/9, 1/2, 1, 2
Factor -65*k**3 - 2182*k**5 - 46*k**3 + 945*k**2 - 381*k**3 - 273*k**3 - 270*k + 235*k**4 + 2157*k**5.
-5*k*(k - 3)**3*(5*k - 2)
Let x(g) be the third derivative of -2/45*g**3 + 5*g**2 + 0 + 1/180*g**4 + 0*g + 1/225*g**5 - 1/900*g**6. Suppose x(k) = 0. Calculate k.
-1, 1, 2
Let b(v) = -6305*v + 18920. Let g be b(3). Solve -22/15*p**4 + 8/15*p + 2/5 - 16/15*p**2 - 4/15*p**g - 12/5*p**3 = 0 for p.
-3, -1, 1/2
Let b = 804 + -802. Find j, given that -21 - 11*j**b - 20*j**2 + 15*j**4 - 10*j + 85 - 38*j - 48*j**2 + 47*j**3 + j**5 = 0.
-8, -1, 1
Let y(r) be the first derivative of -r**6/6 - 7*r**5 - 429*r**4/4 - 2057*r**3/3 - 1331*r**2 + 1179. Let y(x) = 0. What is x?
-11, -2, 0
Let k(y) be the third derivative of 14*y**2 + 1/48*y**5 - 1/720*y**6 - 1/12*y**4 + 0 + 6*y**3 + 0*y. Let x(o) be the first derivative of k(o). Factor x(t).
-(t - 4)*(t - 1)/2
Suppose 7*k = -1 + 8. Suppose k + 5 = 5*q - 4*w, -3*q = w - 7. Determine s so that 2*s**2 - 1 - 3 - 8*s**3 + q*s**4 - 35*s + s**5 + 42*s = 0.
-4, -1, 1
Let b(d) = -d**3 + 6*d**2 + d + 6. Let z be b(6). Let c be z/9 - 240/234. Factor 2/13*r + 4/13*r**2 - 2/13*r**3 - c.
-2*(r - 2)*(r - 1)*(r + 1)/13
Suppose 2/5*t**4 + 2376/5*t**3 + 209584584/5*t + 1058508/5*t**2 + 15561655362/5 = 0. Calculate t.
-297
Let b(k) be the second derivative of -7/3*k**4 + 0 - 1/30*k**5 - 28*k + 968/3*k**2 - 44*k**3. Factor b(r).
-2*(r - 2)*(r + 22)**2/3
Let o(m) be the third derivative of -m**7/525 - m**6/150 + 2*m**5/15 - 2*m**4/5 + 1536*m**2. Factor o(j).
-2*j*(j - 2)**2*(j + 6)/5
What is v in 38*v**4 - 67*v + 406*v**2 + 664*v**3 - 48*v**4 - 201*v = 0?
-1, 0, 2/5, 67
Let g(l) = -11*l**4 - 30*l**3 - 25*l**2 + 66*l - 18. Let o(v) = 65*v**4 + 180*v**3 + 150*v**2 - 395*v + 105. Let p(r) = 35*g(r) + 6*o(r). What is u in p(u) = 0?
-4, -3, 0, 1
Let s(c) be the second derivative of 36/5*c**2 - 6*c + 1/50*c**5 + 13/30*c**4 + 16/5*c**3 - 1. Factor s(v).
2*(v + 1)*(v + 6)**2/5
Factor 1495/2*l + 22*l**2 + 1/6*l**3 + 4225/3.
(l + 2)*(l + 65)**2/6
Let n(f) = -38*f + 11*f - 9 + 11*f - 2*f**2 + f. Let w(g) = g**2 + 7*g + 4. Let u(l) = -6*n(l) - 13*w(l). What is b in u(b) = 0?
-2, 1
Let s(a) be the second derivative of -a**6/24 + 7*a**5/24 + 5*a**4/4 + a**3/3 - 85*a**2/2 + 67*a. Let z(r) be the second derivative of s(r). Factor z(m).
-5*(m - 3)*(3*m + 2)
Let t(a) = -13*a**4 - 29*a**3 + 55*a**2 - 19*a - 6. Let b(x) = -2*x**4 - x**3 + x**2 + x - 1. Let n(m) = -6*b(m) + t(m). Determine o, given that n(o) = 0.
-25, 0, 1
Let d(j) = 3*j**3 + 18*j**2 - 54*j + 35. Let h be d(1). Solve 1/4*v**4 + 0 - 1/4*v**h - 1/2*v**3 + 1/2*v = 0.
-1, 0, 1, 2
Let q(y) = -y**4 + 2*y**3 + 2*y**2. Let n(x) = -718*x**4 - 12852*x**3 - 55762*x**2 + 12168*x - 648. Let s(z) = n(z) + 4*q(z). Factor s(h).
-2*(h + 9)**2*(19*h - 2)**2
Find t such that 426*t**2 + 55*t**3 + 260*t + 0 + 3/2*t**4 = 0.
-26, -10, -2/3, 0
Let g(l) be the third derivative of -1/168*l**4 + 75*l**2 - 1/2352*l**8 + 0 + 1/490*l**7 + 1/14*l**3 + 0*l - 1/70*l**5 + 1/420*l**6. Find s such that g(s) = 0.
-1, 1, 3
Suppose -17*c - 17*c = -68. Let 4*x**c + 450 + x**2 - 3*x**2 + 60*x + 0*x**2 = 0. Calculate x.
-15
Let b(i) = -11*i + 22*i - 10*i + 5*i**5 + 4*i**2 - 14*i**3. Let n(c) = 15*c**5 - 41*c**3 + 11*c**2 + 4*c. Let o(k) = 11*b(k) - 4*n(k). Factor o(q).
-5*q*(q - 1)**2*(q + 1)**2
Let a(k) be the first derivative of -k**6/9 - 76*k**5/15 + 28*k**4 - 32*k**3/9 - 656*k**2/3 + 448*k - 9329. Suppose a(u) = 0. Calculate u.
-42, -2, 2
Suppose -642/5 - 9/5*z**2 - 969/5*z = 0. What is z?
-107, -2/3
Let b(v) be the third derivative of v**5/60 - 503*v**4/12 + 253009*v**3/6 - 2*v**2 - 52*v. Factor b(y).
(y - 503)**2
Let -3/5*l**2 + 33/5*l + 36/5 = 0. Calculate l.
-1, 12
Let i(s) be the third derivative of s**7/2520 + 7*s**6/360 - 173*s**5/720 - 7*s**4/8 + 11*s**3/2 - 11550*s**2. Let i(c) = 0. What is c?
-33, -2, 1, 6
Factor 70694*t**2 - 520*t - 141383*t**2 - 1060 + 70694*t**2.
5*(t - 106)*(t + 2)
Let t be (-2)/(14/(-73)) + 22*(-260)/572. Solve -2/7*g - 1/7*g**5 + 1/7*g**4 + 0 + t*g**3 - 1/7*g**2 = 0.
-1, 0, 1, 2
Let u(o) = 81*o - 2427. Let g be u(30). Let k(t) be the first derivative of 0*t - 11 + 4/3*t**g + 2*t**2 + 1/4*t**4. What is i in k(i) = 0?
-2, 0
Let w(y) = 2120 - 2120 - y**3. Let u(k) = 3*k**3 - 10*k**2 + 23*k - 12. Let g(p) = 3*u(p) + 12*w(p). Factor g(s).
-3*(s - 1)**2*(s + 12)
Let v = 126233/5 - 1136087/45. Let 2/9*l**3 + v*l**2 - 2/9 - 2/9*l = 0. What is l?
-1, 1
Let d(x) = -361*x + 365. Let n be d(1). Let s(o) be the first derivative of -6*o + 1/24*o**4 - 13/18*o**3 - 16 + n*o**2. Let s(g) = 0. Calculate g.
1, 6
Let g be (-3*1/4)/((-5)/40). Let u(h) = 4*h**4 + 13*h**3 + 33*h**2 + 44*h + 17. Let z(o) = -o**4 - o**3 + 1. Let r(j) = g*z(j) + 2*u(j). Factor r(k).
2*(k + 1)*(k + 2)**2*(k + 5)
Let f = -810 + 808. Let h(q) = -40*q**2 + 875*q + 15. Let n(g) = 5*g**2 - 125*g - 2. Let l(y) = f*h(y) - 15*n(y). Factor l(c).
5*c*(c + 25)
Let w be (4 + 15/(-6))*16/6. Suppose z = 7 - w. Factor -26*x**2 - 15*x**4 + 3*x**5 + 2*x - z + 30*x**3 - 4*x**2 + 13*x.
3*(x - 1)**5
Let z(j) be the third derivative of -j**6/80 + 3*j**5/20 - 45*j**4/64 + 25*j**3/16 + 17*j**2 + 31*j. Factor z(p).
-3*(p - 1)*(2*p - 5)**2/8
Let q(m) = 3*m**3 + 84*m**2 - 96*m - 259. Let l be q(-29). Suppose 4/11 + 2/11*p**l + 6/11*p = 0. What is p?
-2, -1
Let g(i) be the first derivative of -168 + 0*i + 1/27*i**3 + 1/9*i**2. Solve g(y) = 0.
-2, 0
Let m(h) = 11*h**3 - 307*h**2 + 5983*h - 33803. Let y(n) = 13*n**3 - 306*n**2 + 5984*n - 33804. Let a(f) = -4*m(f) + 3*y(f). Factor a(p).
-5*(p - 26)**2*(p - 10)
Let q(i) be the second derivative of i**4/36 + 18*i**3 - 325*i**2/6 + 1088*i. Factor q(d).
(d - 1)*(d + 325)/3
Suppose 3*n = -2*v - 10, -2*n - 5*v + 20 = 45. Let o(k) be the second derivative of -4*k + 0*k**3 + 0*k**2 + 1/3*k**4 + n - 1/5*k**5. Factor o(p).
-4*p**2*(p - 1)
Suppose -442 = -3*i + 2*v, -2*i - 14*v + 293 = -15*v. Suppose -9*h + i - 117 = 0. Factor -1/2*s**h - s**2 + 1/2*s + 1.
-(s - 1)*(s + 1)*(s + 2)/2
Let n(d) be the second derivative of 1/8*d**2 + 0*d**3 + 2 - 96*d - 1/48*d**4. Factor n(z).
-(z - 1)*(z + 1)/4
Let t(g) be the second derivative of -5*g**8/448 + 13*g**7/504 + g**6/72 - 31*g**4/2 + g - 116. Let a(r) be the third derivative of t(r). Factor a(q).
-5*q*(q - 1)*(15*q + 2)
Let 16/5*m**4 - 58/5*m**2 - 124/5*m**3 - 48/5 + 214/5*m = 0. What is m?
-3/2, 1/4, 1, 8
Let g be 24/15 + 1976/(-1235). Let a = 1045/7 + -149. Factor 8/7*z**2 + a*z**3 + g + 6/7*z.
2*z*(z + 1)*(z + 3)/7
Let d(n) = 2*n**2 - 8. Let h be d(-5). Suppose 0 = c + 6*c - h. Solve 2 + 22*g**2 - c - 18*g**2 - 20 + 4*g = 0.
-3, 2
Let l(p) be the second derivative of p**5/5 + 8*p**4/3 + 10*p**3/3 - 28*p**2 + 5*p. What is y in l(y) = 0?
-7, -2, 1
Let -71/4*x**4 - 8 + 161/4*x + 233/4*x**3 - 293/4*x**2 + 1/2*x**5 = 0. Calculate x.
1/2, 1, 32
Suppose -o = 2*o + 9, -4*p + 3*o + 33 = 0. Let f be (p + -4)*(-1 - -2). Factor 12*r - 8 - 2*r**2 + 4*r**4 - 3*r**f - 12*r**3 + 9*r**2.
4*(r - 2)*(r - 1)**2*(r + 1)
Let q = -325 + 329. Let s = -756 + 758. Factor 0*p + 3/2*p**5 + 0 + 9/2*p**3 - 3/2*p**s - 9/2*p**q.
3*p**2*(p - 1)**3/2
Let u(q) be the first derivative of -q**4/20 + 8*q