10008. Solve l(f) = 0.
-4, 207
Suppose 41911*o + 9 = 41914*o. Suppose 1/2*b**5 - 7/2*b - 5/2*b**4 + 3/2 + b**2 + 3*b**o = 0. Calculate b.
-1, 1, 3
Let n(s) be the third derivative of -s - 1/70*s**5 + 1/105*s**6 + 0 - 1/21*s**4 + 4/21*s**3 + s**2 - 1/735*s**7. Suppose n(k) = 0. What is k?
-1, 1, 2
Solve 3/2*t**4 + 75/2*t**2 - 45/2*t**3 + 585/2*t + 231 = 0.
-2, -1, 7, 11
Let q(p) = 2*p**2 - 85*p + 314. Let a be q(37). Let g be 155/a*(43/(-25) - -1). Factor -3/5*l**4 + g*l - 3*l**2 + 12/5*l**3 + 0.
-3*l*(l - 2)*(l - 1)**2/5
Let -232/5*i**3 - 178*i + 2/5*i**5 - 28/5*i**4 + 304/5 + 844/5*i**2 = 0. What is i?
-8, 1, 19
Factor 157964*y**2 + 7*y - 5*y**4 - 158064*y**2 - 44*y - 43*y - 40*y**3.
-5*y*(y + 2)**2*(y + 4)
Suppose -3*q = 6*q - 162. Determine w, given that -44*w**3 + 12 + 48*w - 8*w**2 - 6*w**4 - q*w**4 - 4*w**5 + 20 = 0.
-2, -1, 1
Let w(k) be the third derivative of -k**8/126 + 172*k**7/315 + k**6/60 - 64*k**5/45 - 43*k**4/36 - 1943*k**2. Find h such that w(h) = 0.
-1/2, 0, 1, 43
Let z = 29632 + -183557/6. Let o = 962 + z. Factor -1/6*k**4 - o*k**2 - 1/2*k + 0 - 5/6*k**3.
-k*(k + 1)**2*(k + 3)/6
Let l = -744 + 760. Let q be ((-4)/l)/(12/(-3) + 3). Factor 0 - q*t**4 + 0*t + t**3 - 3/4*t**2.
-t**2*(t - 3)*(t - 1)/4
Let m(l) be the second derivative of -l**7/84 + 29*l**6/60 + 97*l**5/40 - 29*l**4/24 - 8*l**3 + 167*l + 4. Let m(o) = 0. Calculate o.
-3, -1, 0, 1, 32
Solve 156*s + 110*s**2 + 306 + 117*s**2 - 34 + 288 - 223*s**2 = 0 for s.
-35, -4
Let q(c) be the second derivative of -c**5/5 + 2*c**4 + 2*c**3/3 - 60*c**2 + 920*c. Suppose q(x) = 0. Calculate x.
-2, 3, 5
Let r(b) = 120*b**2 + 12195*b - 12480. Let u(k) = -13*k**2 - 1355*k + 1386. Let d(s) = 6*r(s) + 55*u(s). Factor d(f).
5*(f - 270)*(f - 1)
Suppose 9*t - 3545 = 4*t - 4*l, 0 = -5*t + l + 3545. Determine v, given that 972 - 99*v**4 + 1532*v**2 + t*v**5 - 2808*v - 712*v**5 + 1063*v**2 - 657*v**3 = 0.
-18, 1
Let z = 39/73 + 165/511. Let i(f) be the first derivative of -z*f + 3/35*f**5 - 3/7*f**3 + 3/28*f**4 - 15/14*f**2 + 14. Solve i(u) = 0 for u.
-1, 2
Suppose 0 = -11*j - 1131 - 563. Let r be j/(-231) - (-1)/(-3). Factor -1/3*f**2 + 0*f + 0 + r*f**3.
f**2*(f - 1)/3
Determine l so that -530/3 + 1/3*l**2 - 529/3*l = 0.
-1, 530
Suppose -4*z = -3*b + 28, -6*b + 12 = -5*b - 2*z. Factor b*r**2 + 4 - 17*r + 27*r + 4 - 2*r**2.
2*(r + 1)*(r + 4)
Let o(m) be the first derivative of m**6/270 - m**5/10 + 4*m**4/9 - 128*m**3/3 - 253. Let x(h) be the third derivative of o(h). Factor x(w).
4*(w - 8)*(w - 1)/3
Let a(n) be the first derivative of 3*n**4/4 + 93*n**3 - 144*n**2 - 564*n + 976. Solve a(o) = 0.
-94, -1, 2
Let u(o) be the third derivative of o**2 + 1/60*o**5 + 0 - o + 5/6*o**3 - 1/4*o**4. Factor u(d).
(d - 5)*(d - 1)
Suppose 2*h = -3*q + 14, -2*h + 5*h + 2*q = 16. Suppose -14 = -t + 4*m, -16*t - 5 = -17*t + m. Factor 0*a - h*a - 107 + 2*a**t + 109.
2*(a - 1)**2
Let d(f) be the first derivative of 7/5*f**2 - 83 - 1/10*f**4 + 0*f + 4/5*f**3. Factor d(l).
-2*l*(l - 7)*(l + 1)/5
Let t = 30180 + -30178. Factor 1/5*m**3 + 2/5*m**t + 1/5*m + 0.
m*(m + 1)**2/5
Let b = -115756/33 + 231523/66. Factor -9/2 + b*o**2 + 13/3*o.
(o - 1)*(o + 27)/6
Let q be -1*58 + 3/((-6)/(-4)). Let k be (8*(-4)/q)/((-6)/(-21)). Determine c, given that -3*c**k - 824*c - 3*c**3 + 3*c**4 + 3*c**5 + 824*c = 0.
-1, 0, 1
Let s(h) = 6*h**2 + 15*h + 38. Let f be s(-4). Suppose 58 - f = -4*y. Factor -31*j**3 + 38*j**3 - 16*j + 0*j**y - j**4 - 8*j**2 + 0*j**2.
-j*(j - 4)**2*(j + 1)
Let h(y) be the first derivative of -y**7/280 - y**6/24 + 5*y**5/8 + 125*y**4/8 + 59*y**3/3 - y + 37. Let f(k) be the third derivative of h(k). Factor f(s).
-3*(s - 5)*(s + 5)**2
Let w(l) be the second derivative of -l**8/33600 - l**7/700 - l**6/60 + l**5/3 + 7*l**4/12 - 47*l + 1. Let o(g) be the third derivative of w(g). Factor o(y).
-(y - 2)*(y + 10)**2/5
Let k(j) be the third derivative of j**5/100 - 153*j**4/20 + 23409*j**3/10 + 1153*j**2. Factor k(h).
3*(h - 153)**2/5
Find i, given that 9/7*i**3 - 34/7*i - 31/7*i**2 + 8 = 0.
-14/9, 1, 4
Let m(l) = l**2 + 10*l - 22. Let n be m(-12). Solve 4*w**2 + 5*w**3 - w**n - 28*w**2 = 0 for w.
0, 5
Suppose -7*g - 10 = -2*g, -53 = 3*z + 4*g. Let d be 53/14 + (-12)/(-120)*z. Solve 44/7*i + d*i**3 + 76/7*i**2 - 16/7 = 0 for i.
-4, -1, 1/4
Let b(w) be the third derivative of w**8/336 - 17*w**7/210 + 5*w**6/8 - 103*w**5/60 + 11*w**4/6 + 75*w**2 - 2*w. Factor b(o).
o*(o - 11)*(o - 4)*(o - 1)**2
Suppose 2*y - 5*f - 259 = -311, 229 = -y + 17*f. Suppose 33/2*m + 3/2*m**3 + y*m**2 + 9 = 0. What is m?
-3, -2, -1
Let c be (3*2/(-4) - 532/(-152))/15. Let j(g) be the first derivative of -c*g**3 + g**2 - 9 + 12/5*g. Determine m so that j(m) = 0.
-1, 6
Let x(w) = -w**3 + 15*w**2 - 221*w - 281. Let p(d) = -10*d**2 + 110*d + 140. Let n(f) = 11*p(f) + 5*x(f). Factor n(a).
-5*(a - 3)*(a + 1)*(a + 9)
Let z = 542480/9 - 60272. Solve 0 + 8/9*s**3 + z*s - 4/3*s**4 - 4/9*s**5 + 16/3*s**2 = 0 for s.
-2, -1, 0, 2
Factor -38*x**2 + 1/4*x**4 - 13/2*x**3 + 279/4 - 51/2*x.
(x - 31)*(x - 1)*(x + 3)**2/4
Let h(n) be the first derivative of -3/2*n + 2*n**2 - n**3 + 0*n**4 + 1/10*n**5 - 285. Find r such that h(r) = 0.
-3, 1
Let o be ((-12)/(-8))/(37/((-1332)/(-135))). Factor 14/5*u + o*u**3 + 6/5 + 2*u**2.
2*(u + 1)**2*(u + 3)/5
Let w(k) = -821*k - 123971. Let s be w(-151). Determine l, given that -1/2*l**2 + 2*l + s = 0.
0, 4
Factor 2*t**2 - 376/3 - 560/3*t.
2*(t - 94)*(3*t + 2)/3
Let u(i) = 19*i**3 - 54*i**2 + 635. Let o be 3/6*10*(-6)/(-5). Let a(z) = -9*z**3 + 27*z**2 - 318. Let h(l) = o*u(l) + 13*a(l). Find c such that h(c) = 0.
-3, 6
Let a(p) be the second derivative of 5*p**7/42 - 3*p**6/2 + 11*p**5/4 + 35*p**4/4 + 1919*p. Factor a(u).
5*u**2*(u - 7)*(u - 3)*(u + 1)
Let z(l) = 94*l**2 + 2. Let w be z(-1). Determine u so that 6 + 28*u**4 - 30*u - 27*u + w*u**2 - 39*u**3 - 48*u**3 + 14*u = 0.
1/4, 6/7, 1
Let g be ((-10)/12)/(-105*66/5865552). Determine n so that 1/3*n**2 - 92/3*n + g = 0.
46
Let k(n) = n - 21. Let b(x) = -8*x + 127. Let z(g) = -2*b(g) - 13*k(g). Let o be z(-5). What is h in -2/11*h**5 + 0*h - 4/11*h**o - 2/11*h**3 + 0*h**2 + 0 = 0?
-1, 0
Let v(h) be the first derivative of -8/25*h**5 - 1/15*h**6 + 68/15*h**3 + 285 + 48/5*h + 52/5*h**2 + 3/10*h**4. Suppose v(t) = 0. What is t?
-2, -1, 3
Let c(j) be the third derivative of -j**7/210 - 7*j**6/24 - 103*j**5/30 + 220*j**4/3 - 400*j**3 - 11909*j**2. Factor c(t).
-(t - 3)*(t - 2)*(t + 20)**2
Let p(d) = 3*d + 143 - 23*d - 30*d - 106*d - 4*d**2 - 28*d**2. Let z(k) = -14*k**2 - 78*k + 72. Let y(j) = 4*p(j) - 9*z(j). Suppose y(s) = 0. Calculate s.
1, 38
Let f(t) be the third derivative of t**9/3024 + t**8/420 + t**7/168 + t**6/180 - 70*t**3/3 + 7*t**2 + 9. Let g(r) be the first derivative of f(r). Factor g(v).
v**2*(v + 1)**2*(v + 2)
Let b be 72186/(-84217) - (2/(-3))/((-1)/(-3)). Find u such that -22/21*u - b + 2/21*u**2 = 0.
-1, 12
Let c be (257 - 75 - 180)*(8/(-5))/(18/(-20)). Suppose 0*w + 2*w = 4. Factor 2/9*y**w - 16/9*y + c.
2*(y - 4)**2/9
Let t = 292177/72 + -4058. Let m(i) be the third derivative of t*i**6 + 0*i + 0 + 245/72*i**4 + 0*i**3 - 7/18*i**5 + 4*i**2. Factor m(r).
5*r*(r - 7)**2/3
Let q = 39 + -37. Suppose 2*c - 4*c = 0. Factor -4*i**q + c*i - 4*i + 2*i**2.
-2*i*(i + 2)
Let v be -30*((-305)/15)/(-1). Let l be v/(-427) + (-4)/(-7). Factor -7/3*c**4 - 19/3*c**3 - 4/3 - 16/3*c - 25/3*c**l - 1/3*c**5.
-(c + 1)**3*(c + 2)**2/3
Let i be 26 + (-18648)/714 + ((-2)/17)/(15/(-66)). Let -9*d**2 - 11/5*d + i - 49/5*d**3 - 17/5*d**4 = 0. What is d?
-1, 2/17
Let q be (2/(84/75))/(28 - 5540/200). Let y(x) be the first derivative of 33 - 376/21*x**3 - q*x**6 + 0*x - 30*x**5 - 255/7*x**4 - 24/7*x**2. Factor y(r).
-2*r*(r + 3)*(5*r + 2)**3/7
Let j(d) be the third derivative of -d**8/84 - 16*d**7/105 - 17*d**6/30 + 2*d**5/15 + 4*d**4 - 8*d**2 + 16. Determine t, given that j(t) = 0.
-4, -3, -2, 0, 1
Let b(n) = -7*n**3 - 46*n**2 + 5*n. Let o(f) = 4*f**3 + 26*f**2 - 3*f. Let v(c) = -3*b(c) - 5*o(c). Let v(x) = 0. Calculate x.
-8, 0
Let c(i) be the second derivative of -2 + 1/2*i**2 + 3*i - 1/12*i**4 - 1/40*i**5 + 1/12*i**3. Suppose c(n) = 0. Calculate n.
-2, -1, 1
Let n = -794009/7 + 113431. Determine l so that -596/7*l**2 + n*l - 14*l**3 + 48/7 + 14*l**4 = 0.
-2, -2/7, 2/7, 3
Let n(q) 