312. Let x(b) = 0. Calculate b.
1/3, 3
Let i = 67 + -53. Suppose 4*l = -2*t - l - i, 0 = 2*t - 2*l - 14. Factor -11*y**4 + 7*y**3 - 5*y**4 + 7*y**5 + t*y**3 + y**3 - 2*y**2.
y**2*(y - 1)**2*(7*y - 2)
Let o(z) be the first derivative of -z**5/5 - 29*z**4/2 - 1237*z**3/3 - 5742*z**2 - 39204*z + 1662. Solve o(w) = 0 for w.
-18, -11
Factor 0 + 8/7*p**3 + 22/7*p**2 - 6/7*p.
2*p*(p + 3)*(4*p - 1)/7
Determine v so that -246/5*v**2 - 32 + 362/5*v + 46/5*v**3 - 2/5*v**4 = 0.
1, 5, 16
Let l = -1016 + 1019. Let n(x) be the first derivative of -4/15*x - l + 2/45*x**3 + 1/15*x**2. Factor n(o).
2*(o - 1)*(o + 2)/15
Let w(j) = -j**2 - 2*j + 8. Let n(u) = 10*u**2 - 7*u**2 - 5 - 5*u**2 + 13. Let g(l) = -5*n(l) + 6*w(l). What is y in g(y) = 0?
1, 2
Suppose 14*r - 14 = -3*t + 15*r, 37 = 4*t - 5*r. Solve 90*c + 36 - 20 - 16 - t*c**2 = 0 for c.
0, 30
Let -962*a + 1398*a + 3*a**2 + 1328*a = 0. Calculate a.
-588, 0
Let h(z) be the third derivative of -z**7/525 + 27*z**6/100 - 473*z**5/50 - 1849*z**4/12 + 2*z**2 + 188*z - 4. Solve h(y) = 0 for y.
-5, 0, 43
Suppose 0 = -2*q - 4*v - 2 - 0, -2*v - 4 = 0. Let b(z) = -z**3 + 5*z**2 - 6*z + 5. Let s be b(q). Factor 2*f**5 - f**s + 77*f**2 - 13*f**2 - 12*f**4 + f**5.
2*f**2*(f - 4)**2*(f + 2)
Let p be 10248/976*8/42. Factor 8/9 - 2/9*k**p - 2/3*k.
-2*(k - 1)*(k + 4)/9
Let c(b) be the first derivative of -63/5*b**5 + 1/2*b**6 - 441/2*b**2 - 322*b**3 + 219/2*b**4 + 1029*b + 112. Find s such that c(s) = 0.
-1, 1, 7
Let a(v) = -151*v**2 + 112*v**3 - 47 - 111*v**3 + 145*v**2. Let r be a(7). Determine d so that -20/3 + 20/3*d**r + 25*d = 0.
-4, 1/4
Let s = 809 - -166. Let k = 978 - s. Factor -20/3*z + 0 - 5/3*z**k - 20/3*z**2.
-5*z*(z + 2)**2/3
Let w(u) be the third derivative of u**9/45360 - u**8/3024 + 41*u**5/30 + 3*u**2 - 10. Let g(x) be the third derivative of w(x). What is s in g(s) = 0?
0, 5
Let q(j) be the first derivative of -j**8/420 + 2*j**7/105 + 11*j**6/90 + j**5/5 + 3*j**3 + j - 20. Let i(b) be the third derivative of q(b). Factor i(s).
-4*s*(s - 6)*(s + 1)**2
Let d(m) be the second derivative of -3*m**7/7 - 29*m**6/15 - 33*m**5/10 - 5*m**4/2 - 2*m**3/3 - 22*m - 46. Solve d(q) = 0 for q.
-1, -2/9, 0
Let c(k) be the second derivative of 3*k**5/20 + 27*k**4/4 - 45*k**3 + 11*k + 5. Factor c(y).
3*y*(y - 3)*(y + 30)
Let d(k) = -3*k**3 + 3*k**2 + 16*k + 4. Let a(r) = 4*r**3 - 3*r**2 - 15*r - 6. Suppose 423*l - 420*l + 6 = 0. Let z(n) = l*a(n) - 3*d(n). Factor z(x).
x*(x - 6)*(x + 3)
Suppose 0 = -8*s + 10*s - 36. Let 44*y**2 - 4*y**4 + 3 - 50*y**3 + s*y**3 - 513*y + 585*y - 3 = 0. What is y?
-9, -1, 0, 2
Let l = 410693 - 410691. Factor 51/2*t + 3/4*t**l + 99/4.
3*(t + 1)*(t + 33)/4
Let p(l) be the third derivative of -11/24*l**4 + 2*l**3 + l**2 + 0*l - 1/60*l**5 - 41. Find s such that p(s) = 0.
-12, 1
Let x(j) be the second derivative of 6*j**3 + 2*j - 12 - 7/3*j**4 - 4*j**2. Find o, given that x(o) = 0.
2/7, 1
Suppose 14 + 14 = 4*b. Let t(l) = -2*l + 16. Let g be t(b). Factor j**3 + 21*j**2 - 27*j**g + j**3 - 18*j - 10.
2*(j - 5)*(j + 1)**2
Let r(x) be the second derivative of -x**6/90 + x**5/3 + 61*x**4/18 + 14*x**3/3 - 75*x**2/2 + 2*x + 2368. Let r(j) = 0. What is j?
-3, 1, 25
Let o(x) be the third derivative of -x**8/336 + x**7/24 - 11*x**6/72 + 5*x**5/24 - 10*x**3/3 + 8*x**2. Let c(j) be the first derivative of o(j). Factor c(a).
-5*a*(a - 5)*(a - 1)**2
Suppose g + 44 = -3*u + 56, u + 3*g - 4 = 0. Let h(o) be the third derivative of 0 + 23*o**2 + 0*o**3 + 1/8*o**u + 0*o + 1/20*o**5. Find p such that h(p) = 0.
-1, 0
Factor -5920*x - 5*x**2 - 627393 - 762170 - 362757.
-5*(x + 592)**2
Let f(m) = m**2 + 10552*m - 63346. Let z be f(6). What is v in 2*v + 0 - 1/2*v**z = 0?
0, 4
Let p(x) be the second derivative of x**5/100 - 17*x**4/30 + 31*x**3/10 + 18*x - 1. Solve p(g) = 0 for g.
0, 3, 31
Let h = 29815683/767 + -38873. Let o = 2/59 + h. Factor 72/13 + o*l**2 - 24/13*l.
2*(l - 6)**2/13
Let m(c) = -c**2 + 26*c - 6. Let g(y) be the third derivative of -25*y**4/24 + 5*y**3/6 - 15*y**2. Let n(o) = 6*g(o) + 5*m(o). Factor n(d).
-5*d*(d + 4)
Suppose -3*s + 6 = 0, 4*r - 2*s = s + 66. Let 18*b + 15*b - 3*b**2 - r*b + 18 = 0. Calculate b.
-1, 6
Let t(j) = 147*j + 1178. Let b be t(-8). Let d(i) be the first derivative of 0*i - 1/4*i**4 + 2/15*i**5 - 12 + 2/3*i**b + 1/18*i**6 - 4/9*i**3. Factor d(g).
g*(g - 1)**2*(g + 2)**2/3
Let h(f) be the second derivative of f**5/5 + 43*f**4/3 - 92*f**3/3 - 176*f**2 - 3*f + 1596. Suppose h(n) = 0. Calculate n.
-44, -1, 2
Let h(s) be the third derivative of -s**7/1890 - s**6/12 + 31*s**5/180 + 91*s**4/108 + 449*s**2. Factor h(y).
-y*(y - 2)*(y + 1)*(y + 91)/9
Let n(t) = t**2 + t. Let r(a) = -6*a**2 + 6*a + 12. Let d(x) = x**2 + 8*x - 19. Let o = 38 + -48. Let q be d(o). Let j(z) = q*r(z) + 2*n(z). Factor j(i).
-4*(i - 3)*(i + 1)
Let y(c) be the second derivative of -c**5/10 - 237*c**4/2 - 42008*c**3 + 126736*c**2 + 3417*c. Suppose y(l) = 0. Calculate l.
-356, 1
Let f(i) be the second derivative of -i**7/21 - 2*i**6/15 + 57*i**5/10 - 9*i**4 - 7253*i. Let f(h) = 0. What is h?
-9, 0, 1, 6
Let j(d) be the first derivative of -d**8/1344 + 3*d**6/160 + 15*d**2/2 + 23. Let h(m) be the second derivative of j(m). Factor h(k).
-k**3*(k - 3)*(k + 3)/4
Let y(v) = 6 - 7 - 11 - v + 15. Let z(i) = -5*i**2 - 65*i - 260. Let c(a) = -5*y(a) - z(a). Solve c(x) = 0 for x.
-7
Let v be (-4 + 3)/(-6) - (-40304)/96. Let w be (v/324 + -1)*(-6)/(-8). Factor -2/3*k + 8/9 - w*k**2.
-2*(k - 1)*(k + 4)/9
Find q, given that -q**4 - 38*q**3 - 400*q**5 + 722*q**2 + 403*q**5 - 746*q**2 = 0.
-3, -2/3, 0, 4
Factor 10380/11*z**3 - 6/11*z**4 - 4478976/11 + 8968320/11*z - 4499718/11*z**2.
-6*(z - 864)**2*(z - 1)**2/11
Suppose -192 = -3*d - 6*i - 240, 0 = 4*i + 36. Factor 8/3*c + 1/3*c**d + 0.
c*(c + 8)/3
Let i(r) be the first derivative of -7*r**6/18 - 11*r**5/5 - 13*r**4/12 + 11*r**3/3 + 10*r**2/3 + 1320. Let i(b) = 0. What is b?
-4, -1, -5/7, 0, 1
Suppose 9 = 3*h - 0. Let b = 1162 + -1157. Find p, given that -b*p**2 + 0*p**h + 0*p**3 + 5*p**3 = 0.
0, 1
Let o(g) be the first derivative of -g**6/2 - 21*g**5/5 - 45*g**4/4 - 13*g**3 - 6*g**2 - 216. Determine z, given that o(z) = 0.
-4, -1, 0
Factor -104*m**3 + 202*m**2 - 317*m**2 + 221*m**2 - 3*m**4 + m**4.
-2*m**2*(m - 1)*(m + 53)
Find v, given that -181*v**2 - 85/2*v - 89/2*v**3 + 0 - 2*v**4 = 0.
-17, -5, -1/4, 0
Let j(p) be the second derivative of -p**6/40 + 39*p**5/16 - 77*p**4/4 + 121*p**3/2 - 90*p**2 + 332*p. What is k in j(k) = 0?
1, 2, 60
Determine n so that -112 + 4*n**2 + 2/3*n**4 - 248/3*n + 10*n**3 = 0.
-14, -2, 3
Let v(o) be the third derivative of 0*o**6 + 1/1785*o**7 + 0*o**3 + 0*o + 113 + 0*o**4 + 2*o**2 + 1/2856*o**8 + 0*o**5. Find d, given that v(d) = 0.
-1, 0
Let v be 16 - -36*(-7)/21. Let h(w) be the first derivative of 2/3*w**6 - w**2 + 8/3*w**3 + 14 - w - 1/2*w**v - 7/5*w**5. Factor h(s).
(s - 1)**3*(s + 1)*(4*s + 1)
Determine u, given that 3/2*u**3 + 0*u**2 + u**4 + 0*u - 1/2*u**5 + 0 = 0.
-1, 0, 3
Let f = 2765/348 + -8063/1044. Factor f*a**2 + 0*a - 8.
2*(a - 6)*(a + 6)/9
Find k such that -36/5 - 12/5*k - 1/5*k**2 = 0.
-6
Let d(y) = -25*y**2 - 2*y. Let f be d(-1). Let l = f + 26. Factor 7*m - m - 6*m**l + 3 + 85*m**4 - 88*m**4.
-3*(m - 1)*(m + 1)**3
Suppose o = 59 - 52. Factor -3*v**3 + 4*v**2 + v**2 + 76*v**4 - o*v**3 - 71*v**4.
5*v**2*(v - 1)**2
Let d(k) = -48*k**2 - 4452*k - 4. Let q(t) = -35*t**2 - 4450*t - 3. Let n(m) = -3*d(m) + 4*q(m). Factor n(b).
4*b*(b - 1111)
Solve -1/4*d**5 - 7/4*d**3 - 3/4*d**2 + 0*d - 5/4*d**4 + 0 = 0 for d.
-3, -1, 0
Let r(u) be the second derivative of -u**4/9 - 14*u**3 + 128*u**2/3 - 443*u - 1. Determine i, given that r(i) = 0.
-64, 1
Let d(o) be the first derivative of 14*o**3/15 - 197*o**2/5 - 156*o + 943. Factor d(l).
2*(l - 30)*(7*l + 13)/5
Let o = -55 + 44. Let f(s) = -s**3 - 13*s**2 - 24*s - 14. Let y be f(o). Solve 8*j + 2*j**2 + 0*j + y + 2*j - 2*j = 0.
-2
Let g(r) be the second derivative of r**5/110 - r**4/33 - 4*r**3/33 + 8*r**2/11 + 489*r. Factor g(k).
2*(k - 2)**2*(k + 2)/11
Let d(h) be the first derivative of -52 - 1/18*h**4 - 2/9*h**3 + 13*h + 0*h**2. Let u(s) be the first derivative of d(s). Factor u(q).
-2*q*(q + 2)/3
What is c in -292*c**3 + 296*c**3 - 168*c - 38 + 358 - 156*c**2 = 0?
-2, 1, 40
Let n(s) be