he first derivative of -2*x**3/3 + 357*x**2 + 716*x + 3205. Solve g(y) = 0 for y.
-1, 358
Suppose 0 = -29*z + 51*z - 616. Let a(p) be the second derivative of z*p - 2/3*p**3 + 13/5*p**5 + 2 + 4*p**2 - 3*p**4 - 2/3*p**6. Solve a(u) = 0 for u.
-2/5, 1
Let p(o) = o**2 - 1 + 17*o + 1. Let f(x) = -2*x + x + 22*x**2 + 73*x**2 - 96*x**2. Let t(q) = -5*f(q) - p(q). Suppose t(g) = 0. Calculate g.
0, 3
Let y be (18/60*-10)/((-6)/4). Let c(n) be the second derivative of -1/100*n**5 + 1/15*n**3 + 16*n + 1/60*n**4 + 0 + 0*n**y. Suppose c(t) = 0. What is t?
-1, 0, 2
Let o(j) = 38*j**4 + 23*j**3 - 3*j**2 - 64*j - 40. Let f(d) = 50*d**4 + 24*d**3 - 2*d**2 - 64*d - 40. Let v(b) = 3*f(b) - 4*o(b). Factor v(p).
-2*(p - 2)*(p + 1)**2*(p + 10)
Let t(s) be the first derivative of -5 + 24*s**2 + 14*s**2 - 3*s**3 - 32*s**2 - 1. Solve t(w) = 0 for w.
0, 4/3
Let q(v) = 3*v**2 - 7*v + 16. Let z(i) = -2*i**2 + 4*i - 8. Let d(p) = -p**2 - 9*p - 15. Let f be d(-7). Let r = f + 8. Let o(s) = r*z(s) + 4*q(s). Factor o(g).
-2*(g - 2)*(g + 2)
Factor 60 - 62*j - 1/2*j**3 + 17*j**2.
-(j - 30)*(j - 2)**2/2
Find n such that -130*n**4 - 364*n**3 + 416*n**3 - 16*n**2 + 146*n**4 - 48*n - 4*n**5 = 0.
-2, -1, 0, 1, 6
Let c be (-308896)/(-568155)*9/12. Let w = c + -6/773. Factor 90 + w*h**2 + 12*h.
2*(h + 15)**2/5
Determine f, given that -2/13*f**4 + 2/13*f**2 - 382/13*f**3 + 0 + 382/13*f = 0.
-191, -1, 0, 1
Let y be 10/(-28) + 27/18. Suppose 36*d - 2 + 2 = 301*d. Let -2/7*i**4 - y*i + 6/7*i**3 + d + 0*i**2 = 0. What is i?
-1, 0, 2
Let y(k) = -6*k**3 + 177*k**2 + 48*k - 149. Let s(m) = -3*m**3 + 90*m**2 + 27*m - 74. Let u(r) = -7*s(r) + 4*y(r). Determine t so that u(t) = 0.
-1, 1, 26
Let g(u) = -2*u**3 + 71*u**2 - 36*u + 56. Let y be g(35). Factor -372*n**3 - 45*n - y*n**2 - 27 + 186*n**3 + 183*n**3.
-3*(n + 1)*(n + 3)**2
Suppose -24*l + 79 = -41. Suppose -10*f + l = -15. Factor 0 - 8/5*g**f - 2/5*g**3 + 0*g.
-2*g**2*(g + 4)/5
Let m(r) = 12*r**3 - 899*r**2 + 3607*r. Let y(k) = 32*k**3 - 2395*k**2 + 9619*k. Let d(g) = -19*m(g) + 7*y(g). Factor d(l).
-4*l*(l - 75)*(l - 4)
Let o = -11500 - -11502. Let n(x) be the first derivative of -3/16*x**4 + 14 + 1/2*x**o + 0*x + 1/20*x**5 + 0*x**3. Solve n(g) = 0 for g.
-1, 0, 2
Let w be 20/14 - (10 - 740/70). Suppose 3 = 5*l - 12. Determine h so that 6/5 + 2/5*h - 2/5*h**l - 6/5*h**w = 0.
-3, -1, 1
Let s(q) = -4*q**2 + 28*q - 32. Let c(b) = b**2 - 10*b + 10. Let v be (-50)/6*(-261)/435. Let r(j) = v*s(j) + 16*c(j). Factor r(h).
-4*h*(h + 5)
Let l(m) = m**2 + 165*m + 614. Let s(a) = a**2 + 5*a - 2. Let x(j) = l(j) - 5*s(j). Factor x(y).
-4*(y - 39)*(y + 4)
Let i(j) = 5*j - 54. Let a be i(14). Factor 10*p**4 + 0*p**3 + 44*p - 2*p**3 + 0*p**5 - 18*p**2 - 3*p**5 + p**5 - 16 - a*p**2.
-2*(p - 4)*(p - 1)**3*(p + 2)
Let v(r) be the second derivative of r**6/30 - 7*r**5/20 + 2*r**4/3 + 8*r**3/3 - 23*r - 15. Factor v(x).
x*(x - 4)**2*(x + 1)
Factor 1408*w + 577*w**2 - 118322 - 129486 - 579*w**2.
-2*(w - 352)**2
Let d(a) be the third derivative of -a**6/900 + 3*a**5/50 - 73*a**4/90 + 8*a**3/3 + 737*a**2. Factor d(i).
-2*(i - 20)*(i - 6)*(i - 1)/15
Factor -113/3*q**2 - 1/3*q**3 + 113/3 + 1/3*q.
-(q - 1)*(q + 1)*(q + 113)/3
Let y(o) = 17656*o + 158908. Let w be y(-9). Let -57/5*c**2 + 0 + 33/5*c**3 + 27/5*c - 3/5*c**w = 0. What is c?
0, 1, 9
Let t = 84039 - 84036. Let 15/4*q - 3/4 + 3/4*q**2 - 15/4*q**t = 0. What is q?
-1, 1/5, 1
Suppose -395 = -334*q + 726 - 119. Find a such that -1/2 - 1/4*a + 3/4*a**q + a**2 = 0.
-1, 2/3
Factor 11/4 - 45/8*i + 1/4*i**2.
(i - 22)*(2*i - 1)/8
Let r be (1/(153/(-126)))/((-28)/56). Let -26/17*n**2 - r*n**3 + 12/17*n - 6/17*n**4 + 0 = 0. What is n?
-3, -2, 0, 1/3
Let i(k) be the third derivative of -112/165*k**5 + 5/22*k**4 + 0 - 1/1155*k**7 + 73*k**2 + 0*k - 1/22*k**6 + 75/11*k**3. Suppose i(x) = 0. What is x?
-15, -1, 1
Let y(f) be the second derivative of -f**5/4 + 325*f**4/6 + 655*f**3/6 - 557*f - 3. Factor y(h).
-5*h*(h - 131)*(h + 1)
Let s = 64/67 + 73/134. Factor -s*k**2 + k**3 + 1/2*k**4 - 2 - 4*k.
(k - 2)*(k + 1)**2*(k + 2)/2
Let c be 8/15*((-9946)/(-524) - 19). Let q = c - -1052/393. Let -4/3*y + 4*y**2 - 4/3 - q*y**4 + 4/3*y**3 = 0. What is y?
-1, -1/2, 1
Let w(v) be the third derivative of -2*v**2 + 0*v + 7/150*v**5 + 3/5*v**3 + 2/5*v**4 + 27. Factor w(o).
2*(o + 3)*(7*o + 3)/5
Factor -1184/5*s**3 - 34810 - 2/5*s**4 - 176412/5*s**2 - 69856*s.
-2*(s + 1)**2*(s + 295)**2/5
Let b(x) be the second derivative of x**7/14 - 13*x**6/10 + 141*x**5/20 - 35*x**4/4 - 1127*x. Find o, given that b(o) = 0.
0, 1, 5, 7
Let 260*s**2 - 308*s - 19*s - 58*s - 24 - 248*s - 139*s = 0. What is s?
-2/65, 3
Factor 0 - 64/5*h**2 + 99*h + 1/5*h**3.
h*(h - 55)*(h - 9)/5
Let j(w) = -13*w - 256. Let x be j(-20). Suppose 9*c - 23*c + 0*c**2 + 4*c**3 + 5*c**x - 5*c**2 + 21*c**3 - 11*c = 0. Calculate c.
-5, -1, 0, 1
Let k be 90/(-210)*(-5 - 2). Let u(i) be the first derivative of -2/55*i**5 + 0*i + 0*i**2 + 0*i**k - 13 + 0*i**4. Factor u(r).
-2*r**4/11
Let s(f) be the first derivative of 2/15*f**3 - 4/5*f**2 - 17 - 24/5*f. Let s(l) = 0. What is l?
-2, 6
Determine o so that -2/5*o - 12/5*o**3 + 8/5*o**4 - 2/5*o**5 + 0 + 8/5*o**2 = 0.
0, 1
Factor 138/5*h**3 + 8/5*h**4 + 128*h + 0 + 672/5*h**2.
2*h*(h + 8)**2*(4*h + 5)/5
Factor 5041/5 - 142/5*t + 1/5*t**2.
(t - 71)**2/5
Let z = 22658 + -90631/4. Factor 3/4*v + 1 - z*v**2.
-(v - 4)*(v + 1)/4
Let n(l) be the first derivative of 0*l + 0*l**2 + 0*l**3 + 5*l**4 + 0*l**5 + 44 - 5/6*l**6. Find q such that n(q) = 0.
-2, 0, 2
Let l = 82 + -122. Let k = l + 42. Factor -k*y - 3*y**2 + 10*y**2 - 6*y**2.
y*(y - 2)
Let r(j) = -j**3 - 11*j**2 + 61*j - 37. Let d be r(-15). Let o be (-2 + 0)*13/d. Suppose 1/2*x**2 + o*x + 0 - 1/2*x**4 - 1/2*x**3 = 0. Calculate x.
-1, 0, 1
Let j(a) = 131*a**3 - 11*a**2 - 302*a + 216. Let b(d) = 22*d**3 - 2*d**2 - 50*d + 36. Let g(z) = 34*b(z) - 6*j(z). Factor g(u).
-2*(u - 1)*(u + 2)*(19*u - 18)
Let q(f) be the first derivative of 14*f**6/3 + 4*f**5/5 - 7*f**4 - 4*f**3/3 - 1401. Suppose q(r) = 0. Calculate r.
-1, -1/7, 0, 1
Let m(p) be the first derivative of 34 + 1/8*p**4 - 9*p + 3/2*p**2 + 3/4*p**3. Let f(o) be the first derivative of m(o). Factor f(j).
3*(j + 1)*(j + 2)/2
Let p be 2/((-14)/301)*(-2 - -1). Factor -i**2 + 0*i**3 - i**3 - 5*i**4 - p*i + 45*i - 4*i**3 - 3*i**3.
-i*(i + 1)**2*(5*i - 2)
Let d(x) = x**3 - 238*x**2 - 1429*x - 2003. Let u(i) = 10*i**3 - 1905*i**2 - 11425*i - 16025. Let q(v) = -25*d(v) + 3*u(v). Solve q(t) = 0.
-40, -5, -2
Let p(g) be the third derivative of g**6/120 + g**5/5 + 3*g**4/2 + 16*g**3/3 + 5*g**2 - 3*g - 11. Find y, given that p(y) = 0.
-8, -2
Let c = -57/5864 + 6035/17592. Factor -5/6 + c*g**2 - 3/2*g.
(g - 5)*(2*g + 1)/6
Let b(f) be the third derivative of f**5/480 - 5*f**4/8 - 625*f**3/48 - 2*f**2 - 435. Factor b(p).
(p - 125)*(p + 5)/8
Solve -2/9*b**3 + 4*b + 14/3*b**2 - 2/9*b**5 - 10/9*b**4 + 0 = 0.
-3, -1, 0, 2
Let i = 3922/243 + -1769/486. What is q in -6 - 7*q**2 - i*q - 1/2*q**3 = 0?
-12, -1
Let g(h) be the second derivative of -26*h**7/7 - 196*h**6/15 + 3*h**5/5 + 106*h**4/3 + 24*h**3 - 16*h**2 - 3*h + 473. Suppose g(d) = 0. What is d?
-2, -1, -2/3, 2/13, 1
Suppose -150*w - 20 = -154*w. Suppose w*a - 2*p = 8 - 3, -p = 5*a - 20. Find r, given that -23/3*r**a + 8*r - 16/3 + 3*r**4 + 7/3*r**2 - 1/3*r**5 = 0.
-1, 1, 4
Factor 426/7*s**2 + 9450 + 2/7*s**3 + 3330*s.
2*(s + 3)*(s + 105)**2/7
Let u(v) be the third derivative of -v**7/840 - v**6/60 - v**5/24 + v**4/2 - 35*v**3/3 - 2*v**2 - 39. Let i(f) be the first derivative of u(f). Factor i(k).
-(k - 1)*(k + 3)*(k + 4)
Let k = -269 + 316. Solve k*t + 10 + 20 + 18*t + 0*t**2 + 40*t**2 + 5*t**3 = 0 for t.
-6, -1
Let u(m) be the first derivative of m**5/80 + m**4/16 + m**3/8 + m**2/8 + 95*m - 61. Let v(x) be the first derivative of u(x). Determine q so that v(q) = 0.
-1
Let a(s) be the third derivative of 1/72*s**4 - 1/90*s**5 - s**2 + 1/360*s**6 + 0 - s + 0*s**3. Factor a(x).
x*(x - 1)**2/3
Suppose 2*m + 17*l - 9 = 16*l, -2*m = -3*l - 29. Factor -6*k**5 + m*k**5 + 17*k**3 - 17*k**2 - 7*k**4 + 228*k - 222*k.
k*(k - 3)*(k - 2)*(k - 1)**2
Let u = 37795/7 - 5398. Let y(s) be the first derivative of -u*s - 3/7*s**2 - 21 + 1/7*s**3. Suppose y(p) = 0. What is p?
-1, 3
Suppose 122*v - 1335 = -145*v. Fact