3/5. Solve 2/5*c + o - 1/5*c**2 = 0.
-1, 3
Let x(q) be the first derivative of 0*q - 1/2*q**4 - 63 + 3*q**2 - 1/3*q**3. Find b such that x(b) = 0.
-2, 0, 3/2
Suppose 5*d + 195 + 469 = -b, d + b = -132. Let t be ((-2)/4)/(d/(-28) - 5). Factor -1/2*s**t - 1/2*s**4 - 4/3*s**3 + 1/3*s + 0.
-s*(s + 1)*(s + 2)*(3*s - 1)/6
Let m be (52 - 1315/25)*(-2)/3. Factor m*c + 0 - 2/5*c**2.
-2*c*(c - 1)/5
Let w(v) = -3*v**2 + 23*v + 74. Let x be w(10). Let j(f) be the third derivative of -6*f**2 + 0*f - 1/144*f**x + 0*f**3 + 0 + 1/360*f**5. Factor j(u).
u*(u - 1)/6
Let w(y) be the first derivative of -25*y**4/34 - 40*y**3/17 + 384*y**2/17 + 2048*y/17 + 2037. Let w(g) = 0. Calculate g.
-16/5, 4
Let m(o) = o**3 - 15*o**2 + 28*o - 14. Let b(g) = 2*g**2 + 0 + 32*g - 1 + 0 - 33*g. Let h(z) = 10*b(z) + 5*m(z). Factor h(j).
5*(j - 8)*(j - 2)*(j - 1)
Let l(b) be the second derivative of b**4/12 - 5*b**3/3 + 9*b**2/2 + 2*b + 88. Solve l(i) = 0.
1, 9
Let j(f) be the third derivative of -f**7/420 + f**6/15 - 7*f**5/20 - 49*f**4/6 + 25*f**3/3 + 139*f**2. Let m(b) be the first derivative of j(b). Factor m(g).
-2*(g - 7)**2*(g + 2)
Let u(w) be the first derivative of w**3/3 - 7*w**2 - 4*w + 902. Let m be (-3)/((-6)/(-4)) - -4. Let v(c) = -c**2. Let a(i) = m*u(i) - 14*v(i). Factor a(y).
4*(y - 2)*(4*y + 1)
Let k(c) be the third derivative of c**8/392 - 5*c**7/147 - 34*c**6/105 + 8*c**5/35 - 717*c**2. Let k(p) = 0. Calculate p.
-4, 0, 1/3, 12
Factor -65*d**3 - 33*d**4 - d**5 - 43*d**3 - 32*d**3.
-d**3*(d + 5)*(d + 28)
Let n(k) be the third derivative of k**8/80640 + 17*k**7/20160 - k**6/160 + 29*k**5/12 + 83*k**2 - 1. Let s(b) be the third derivative of n(b). Factor s(q).
(q - 1)*(q + 18)/4
Let h(z) be the third derivative of 0*z**3 + 0 - 1/12*z**5 - 7/300*z**6 - 1/10*z**4 + 0*z - 1/1050*z**7 + 120*z**2. Suppose h(c) = 0. What is c?
-12, -1, 0
Let r(l) be the second derivative of -30*l + 25/12*l**3 - 39/2*l**2 - 5/24*l**4 + 1/120*l**5 + 0. Let t(q) be the first derivative of r(q). Factor t(f).
(f - 5)**2/2
Factor -u**3 - 18*u**2 + 24*u**3 - 22*u**3 + 11*u + 102.
(u - 17)*(u - 3)*(u + 2)
Find j such that -24964 - 1/4*j**2 + 158*j = 0.
316
Suppose 0 - 11/6*j**3 - 20/3*j**2 - 1/6*j**4 - 8*j = 0. What is j?
-4, -3, 0
Let g(x) = -2*x**3 + 882*x**2 + 191844*x - 21. Let w(n) = -5*n**3 + 1766*n**2 + 383688*n - 49. Let u(c) = 14*g(c) - 6*w(c). Factor u(o).
2*o*(o + 438)**2
Let z(r) = 3819*r - 105. Let q be z(13). Factor -82*t**3 + 1364*t**2 - q - 160*t**3 + 520*t + 49590.
-2*(t - 6)*(11*t + 2)**2
Suppose -157*z = -153*z - 24. Suppose -5*w + 3 = -c - z*w, -w = -c + 7. Solve -1/3*i**c + 2/3*i + 0 = 0 for i.
0, 2
Let l = 72 + -70. Let f(g) = 5*g**2 - 3*g - 11. Let z be f(5). Factor -3*y**2 - y**l - z*y + 87*y.
-4*y*(y + 3)
Let g(o) = -15*o**3 - 7*o**2 + 9*o. Let k(s) = 5*s + 5*s - 7*s**3 - 6*s - 3*s**2. Let n be 0 - -9*4/6. Let p(j) = n*g(j) - 13*k(j). Factor p(a).
a*(a - 2)*(a - 1)
Let p(d) be the third derivative of -d**8/21 - 26*d**7/35 - 13*d**6/15 + 147*d**5/5 + 54*d**4 - 72*d**3 + 4740*d**2. Solve p(y) = 0.
-6, -1, 1/4, 3
Factor 4393920 - 1914*h - 102*h + 4717*h + 3923*h + 3*h**2 - 737472.
3*(h + 1104)**2
Factor 35*d - 21*d + 5*d**3 + 25*d**2 + 159*d - 8*d + 45*d**2.
5*d*(d + 3)*(d + 11)
Let j(t) = t**2 - 44*t + 439. Let f be (-9)/15 + 528/80. Let l(x) = 8*x**2 - 353*x + 3511. Let h(s) = f*l(s) - 51*j(s). Factor h(i).
-3*(i - 21)**2
Suppose 229 = 8*x - 91. What is j in 80 + 40*j**3 + 3314*j**2 - 7*j**4 + 2*j**4 - 3389*j**2 - x*j = 0?
-1, 1, 4
Let w(l) be the first derivative of 1/8*l**4 + 1/2*l**2 - 147 + 5/6*l**3 - 4*l. Factor w(a).
(a - 1)*(a + 2)*(a + 4)/2
Determine q, given that 4*q**4 - 3442326935*q + 9639099*q**2 + q**4 + 4743*q**3 - 17988*q**3 + 2056236*q**2 = 0.
0, 883
Let f(u) be the first derivative of 44 - 25/4*u**4 - 20*u - 65/2*u**2 - 70/3*u**3. What is c in f(c) = 0?
-1, -4/5
Let n be (21/(-10))/7 + 4095/(-70) + 59. Factor 4/5*k**3 - n*k**2 + 1/5*k**4 - 4/5*k + 0.
k*(k - 1)*(k + 1)*(k + 4)/5
Let j be 6/1*(-6)/(-12). Factor 13*u**4 - 25*u**4 - 3*u**4 - j*u**5 + 18*u**3.
-3*u**3*(u - 1)*(u + 6)
Let u(j) be the second derivative of j**5/80 - 109*j**4/48 + 53*j**3/3 - 105*j**2/2 + 4983*j. Factor u(a).
(a - 105)*(a - 2)**2/4
Let n(j) be the first derivative of -j**9/19656 - j**8/1820 - 2*j**7/1365 + 32*j**3/3 + 60. Let v(f) be the third derivative of n(f). Factor v(l).
-2*l**3*(l + 2)*(l + 4)/13
Determine c so that -157*c**2 - 25*c - 6*c + 30*c + 191*c**3 - 35*c + 5*c**4 - 3*c = 0.
-39, -1/5, 0, 1
Let -320*i**3 + 576*i + 367*i**3 - 69*i**3 + 132*i**2 + 320 - 6*i**4 = 0. What is i?
-4, -2/3, 5
Let n be -5 + 4/(0 - 4). Let i(b) = 75*b**4 - 165*b**3 - 24*b**2 + 84*b + 24. Let r(c) = c**2. Let a(m) = n*r(m) - i(m). Suppose a(z) = 0. Calculate z.
-2/5, 1, 2
Let m be (20273/110)/19 + -10 + 6/20. Suppose -9*k - 3/2*k**2 + m = 0. Calculate k.
-6, 0
Let p(s) be the first derivative of 0*s - 4/3*s**4 - 14/9*s**3 - 2/15*s**5 + 89 + 0*s**2. Let p(a) = 0. Calculate a.
-7, -1, 0
Let z = 46180 - 46180. Determine x, given that 24/13*x**2 - 42/13*x**4 - 8/13*x + 2*x**3 + z = 0.
-2/3, 0, 2/7, 1
Let m(b) be the third derivative of b**9/756 + b**8/420 - b**7/210 - b**6/90 + 28*b**3/3 + 37*b**2. Let t(i) be the first derivative of m(i). Factor t(y).
4*y**2*(y - 1)*(y + 1)**2
Let o(c) = -2*c + 29. Let d be o(17). Let h(s) = -s**3 + 21*s**2 - 17*s - 3. Let i(q) = 2*q**3 - 41*q**2 + 34*q + 5. Let g(m) = d*h(m) - 3*i(m). Factor g(l).
-l*(l - 17)*(l - 1)
Suppose 2*g = 8, -3 = o - 3*g + 6. Suppose 3*r - 11 = -2*r - o*t, 0 = 3*r - 3*t - 21. Find z such that z**2 - 5*z**2 + r*z + 44*z - 144 = 0.
6
Let w be (-30)/6 + -121 + 0. Let i be (-3)/(-4) - w/168. Factor -1 + i*d - 1/2*d**2.
-(d - 2)*(d - 1)/2
Let t(i) = -5*i**2 + 55*i + 70. Let g(w) = -w. Let j be 1 - 4 - (55 - 59). Let p(v) = j*t(v) + 30*g(v). Factor p(n).
-5*(n - 7)*(n + 2)
Suppose 0 = -71*v + 70*v + 753. Let t = 755 - v. Suppose 4/13*u - 2/13*u**t + 0 = 0. Calculate u.
0, 2
Let a = -54 - -62. Suppose a*w - 45 + 21 = 0. Factor 2/5*c + 2/5*c**2 - 4/5*c**w + 0.
-2*c*(c - 1)*(2*c + 1)/5
Let x be (-8)/(-36) + (-106)/(-9). Suppose s - 18 = -7*r + 3*r, 0 = 2*s - r. Find f, given that x*f**4 - 29*f**3 - 6*f - 7*f**3 + 33*f**s + 0*f - 3*f**3 = 0.
0, 1/4, 1, 2
Let d = -254 - -681. Let o = d + -424. Factor 0 + 7/2*n**o + 3*n + 23/2*n**2.
n*(n + 3)*(7*n + 2)/2
Let h**3 + 120 - 74*h - 17*h**2 - 27*h**2 - 3*h**3 = 0. Calculate h.
-20, -3, 1
Let l(t) be the first derivative of 5*t**6/6 - t**5 - 40*t**4 + 100*t**3 - 2280. Find d, given that l(d) = 0.
-6, 0, 2, 5
Let q(f) be the first derivative of -f**5/270 + f**4/27 - 4*f**3/27 + 39*f**2/2 - 80. Let n(s) be the second derivative of q(s). Find r such that n(r) = 0.
2
Determine q so that -57/7 + 115/7*q - 59/7*q**2 + 1/7*q**3 = 0.
1, 57
Let w be (-155)/1144 + (-6)/33. Let p = w - -151/312. Suppose -3/2*r + 0 + p*r**2 = 0. Calculate r.
0, 9
Let x = -145 - -728/5. Let w be 112/(-10) + (-85)/((-170)/24). Factor 0 + 2/5*j**2 - x*j**5 + 1/5*j**3 + 0*j - w*j**4.
-j**2*(j + 1)**2*(3*j - 2)/5
Let k(o) be the third derivative of o**5/120 - 19*o**4/4 + 1083*o**3 - 599*o**2. Factor k(v).
(v - 114)**2/2
Let x = -2/3889 + 46678/19445. Let j be (-27)/(-15)*(-2 - 7/(-3)). Factor x*p + 9/5*p**2 - 6/5*p**3 - 12/5 - j*p**4.
-3*(p - 1)**2*(p + 2)**2/5
Let t(v) be the first derivative of 2*v**3/45 - 2478*v**2/5 + 9210726*v/5 + 5327. Determine u, given that t(u) = 0.
3717
Let i = 588907 + -588905. Find q, given that 0 + 15*q + 5/3*q**i = 0.
-9, 0
Let x be (-6)/16 - 8806/(-20720). Let d(r) be the second derivative of 0 + x*r**5 + 4*r**3 - 8*r**2 - 26*r - 3/4*r**4. Factor d(g).
(g - 4)**2*(g - 1)
Let i(f) be the third derivative of -f**6/240 - 689*f**5/10 - 474721*f**4 - 5233324304*f**3/3 - 2699*f**2 + 1. Factor i(r).
-(r + 2756)**3/2
Let u(v) be the first derivative of -v**3/33 - 13*v**2/11 - 25*v/11 + 2288. Factor u(q).
-(q + 1)*(q + 25)/11
Suppose -c = -4 - 5. Let a be 648/297 + (-6)/(-33)*-1. Factor c*l - 2*l**a + 5*l**2 + 0*l.
3*l*(l + 3)
Let i(h) = 4*h**3 + 24*h**2 + 42*h - 55. Let z(k) = k**3 + 12*k**2 + 21*k - 28. Suppose -38*u - 185 = -u. Let w(d) = u*z(d) + 2*i(d). Let w(x) = 0. What is x?
-2, 1, 5
Let o(y) be the first derivative of y**4/3 + 112*y**3/9 + 256*y**2/3 - 4096*y/3 - 2411. Solve o(d) = 0 for d.
-16, 4
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