508. Suppose l*y + 12/5 + 9/5*y**3 + 39/5*y**2 = 0. Calculate y.
-3, -2/3
Factor 9015*z**2 - 1547*z**3 + 5208*z + 12807*z + 1552*z**3 + 9005.
5*(z + 1)**2*(z + 1801)
Let j(m) be the first derivative of 3*m**4/16 + 1575*m**3/4 + 1862829*m**2/8 + 1858107*m/4 - 1345. Let j(g) = 0. What is g?
-787, -1
Let h = 19/1328 + 31739/9296. Let -16/7 + 4/7*c**2 - 96/7*c + h*c**3 = 0. What is c?
-2, -1/6, 2
What is f in -10 + 592/5*f**2 + 142*f + 24*f**3 = 0?
-5/2, 1/15
Let o(a) be the third derivative of -7*a - 5/64*a**4 + 1/160*a**5 + 0 - a**2 + 0*a**3. Factor o(v).
3*v*(v - 5)/8
Suppose -5*w = -5*i - 35, -5*i = -5*w + 3*w + 29. Let a(v) be the first derivative of v**4 - 4*v**3 - 4*v**2 + 3 + 4*v**2 + 0*v**w. Let a(m) = 0. Calculate m.
0, 3
Let h be -6 - (-56 + 9) - (-6 + 1). Find q, given that 18 - 2*q**3 - 72*q - 6 + 16*q**2 + h*q = 0.
1, 6
Suppose -23*x + 61 = -215. Factor 5*k**2 + 69*k - 2 - x*k + 13*k + 2.
5*k*(k + 14)
Let p = 11449 + -160199/14. Let n = 89/14 - p. Suppose 1/7 - 2/7*x + n*x**2 = 0. Calculate x.
1
Suppose 0 = -2*f - 2*b - 6, 22*f = 17*f + b + 21. Let p(g) be the second derivative of -1/78*g**4 - 2/39*g**f + 0*g**2 + 27*g + 0. Factor p(h).
-2*h*(h + 2)/13
Solve 5*r**4 + 17*r + 5*r**5 + 163*r - 35*r**4 - 53*r**2 - 117*r**2 - 185*r**3 + 200 = 0 for r.
-2, -1, 1, 10
Let x(p) = -5*p**2 + 9780*p - 4782416. Let z(o) = 70*o**2 - 136920*o + 66953825. Let d(i) = 55*x(i) + 4*z(i). Factor d(s).
5*(s - 978)**2
Let g be (3/6 + -1)*(-4)/1. Let l = g + 1. Factor -2*j**2 - 3*j**3 + 4*j - 40*j**4 - j**l + 42*j**4.
2*j*(j - 2)*(j - 1)*(j + 1)
Let 1088/7*l**2 + 0*l - 4/7*l**3 + 0 = 0. Calculate l.
0, 272
Let r(o) be the first derivative of 161 + 0*o + 15/2*o**2 + 5*o**4 - 65/3*o**3. Suppose r(d) = 0. Calculate d.
0, 1/4, 3
Let f(n) be the first derivative of -n**4/48 - 17*n**3/12 - 289*n**2/8 + 87*n - 116. Let j(x) be the first derivative of f(x). Factor j(z).
-(z + 17)**2/4
Let v(m) be the first derivative of -m**4/2 + 76*m**3/3 - 361*m**2 - 1091. Factor v(g).
-2*g*(g - 19)**2
Let y be 11 - (-5 - 20/(-2)). Let p(a) be the second derivative of 0 + 0*a**2 - 9/19*a**3 - 18/95*a**5 - 1/399*a**7 - 9/19*a**4 - 2/57*a**y + a. Factor p(d).
-2*d*(d + 1)*(d + 3)**3/19
Let o(l) be the second derivative of -l**4/42 - l**3 + 72*l**2/7 - 2110*l. Factor o(j).
-2*(j - 3)*(j + 24)/7
Let w(r) = -2*r**5 + 14*r**4 + 68*r**3 + 112*r**2 + 82*r + 22. Let f = -55 + 54. Let u(z) = z**4 + 2*z + 1. Let b(p) = f*w(p) + 2*u(p). Solve b(y) = 0.
-1, 10
Let o(s) be the third derivative of -s**6/360 + 7*s**5/40 + 11*s**4/12 + 13*s**3 + 21*s**2. Let v(m) be the first derivative of o(m). Factor v(w).
-(w - 22)*(w + 1)
Let b = 38929/3 - 12973. Suppose b - 27/2*j + 2/3*j**2 = 0. What is j?
1/4, 20
Suppose 13*q + q = -0*q. Let h be (q - 45/(-12))/(117/208). Solve 0 - h*x**2 + 16/3*x - 2*x**3 = 0 for x.
-4, 0, 2/3
Let h = -19 - -19. Suppose -n - 3*m + h + 20 = 0, 3*n = -m + 100. Suppose 27*i**2 + n*i**2 - 50*i**2 + 8*i = 0. Calculate i.
-2/3, 0
Let a = -93 + 91. Let k be a/(88/(-24) + 3). Factor -6/5*y + 3/5*y**2 + 0 + 3/5*y**k.
3*y*(y - 1)*(y + 2)/5
Let j(l) = l**3 - 58*l**2 + 57*l + 6. Let h be j(57). Suppose 120*q - 122*q = -h. Solve -10*p + 4*p**2 + 16/3 + 2/3*p**q = 0 for p.
-8, 1
Determine s so that -16*s - 16*s**2 - 4/9*s**4 - 44/9*s**3 + 0 = 0.
-6, -3, -2, 0
Let r(u) be the third derivative of -u**8/161280 + u**6/360 - 29*u**5/60 + u**4/24 + 166*u**2. Let b(q) be the third derivative of r(q). Factor b(s).
-(s - 4)*(s + 4)/8
Let l(n) be the third derivative of -n**7/504 + n**6/144 - 5*n**4/8 - 2*n**2 - 22*n. Let d(h) be the second derivative of l(h). Let d(o) = 0. Calculate o.
0, 1
Factor 964737*k + 71*k**3 + 5772*k**2 - 41*k**3 + 1811595*k + 445138564 - 26*k**3.
4*(k + 481)**3
Let x(i) be the second derivative of -1/10*i**6 - 575/4*i**4 + 138 + i + 0*i**2 + 141/20*i**5 + 529/2*i**3. Solve x(b) = 0.
0, 1, 23
Let v = 146632/7 - 20947. Let j(q) = -q**2 + 9*q + 2. Let k be j(0). Factor -v*i**k + 24/7*i + 0.
-3*i*(i - 8)/7
Let l(j) be the second derivative of -15*j**7/14 - 227*j**6/6 - 133*j**5/2 - 20*j**4 - 12451*j. Determine q, given that l(q) = 0.
-24, -1, -2/9, 0
Let n(m) be the second derivative of 2/21*m**7 + 1/3*m**3 + 0*m**2 + 4/15*m**6 - 270*m + 0 - 5/12*m**4 - 3/20*m**5. Factor n(a).
a*(a + 1)*(a + 2)*(2*a - 1)**2
Let n(f) be the first derivative of 2*f**5/5 + 29*f**4/6 + 7*f**3/3 - 187*f + 92. Let s(p) be the first derivative of n(p). Find b, given that s(b) = 0.
-7, -1/4, 0
Let f(g) = -g**3 - g**2 + 4. Let r(t) = 2*t**3 + 4 - t**2 - t**3 - 2*t**3 - t. Let p(c) = -5*f(c) + 4*r(c). Solve p(m) = 0 for m.
-2, -1, 2
Let i be 2/(-5) - 3/(-45)*321. What is h in 13*h + 2*h**3 - 5*h**3 - i*h**4 + h**2 + 14*h**4 + 6*h**4 - 10*h**3 = 0?
-13, -1, 0, 1
Let c(f) be the second derivative of -1/15*f**5 - 24*f**3 - 19*f + 2*f**4 - 2 + 144*f**2. Find d such that c(d) = 0.
6
Suppose 245*y = 239*y. Let l(s) be the third derivative of 7*s**2 + 0*s**3 + y + 0*s + 1/1260*s**7 + 0*s**4 - 1/240*s**6 + 0*s**5. Factor l(g).
g**3*(g - 3)/6
Suppose -108 + 27/2*q**2 - 2*q**3 - 1/2*q**4 + 27*q = 0. What is q?
-6, -4, 3
Let q(n) be the third derivative of -n**6/30 + 2*n**5 + 31*n**4/6 - 1123*n**2. Find x such that q(x) = 0.
-1, 0, 31
Let -96*g**3 + 5*g**4 + 90*g**2 + 380*g + 36*g**3 + 183 + 42 = 0. What is g?
-1, 5, 9
Suppose 12*i - 1 = 35. Suppose -53 = i*l - 56. Let y(b) = b**2 - 1. Let w(f) = 16*f**2 - 4*f - 6. Let n(s) = l*w(s) - 6*y(s). Determine a so that n(a) = 0.
0, 2/5
Let y be ((-6056)/336 - -18)/(48/(-28)). Let v(o) be the third derivative of 5/12*o**3 - 5/36*o**4 - 14*o**2 + 0 + y*o**5 + 0*o. Factor v(b).
5*(b - 3)*(b - 1)/6
Suppose -11 = -5*p - w, -4*p - 235 = w - 243. Suppose d + 5 + 11 = 3*m, 2*m + 4*d = 20. Solve t**p - 7*t + 18 + m*t + 2*t**2 - 20 = 0 for t.
-2, -1, 1
Let k(b) be the second derivative of b**7/840 - 11*b**6/360 - 6*b**3 + 34*b - 3. Let d(t) be the second derivative of k(t). Factor d(v).
v**2*(v - 11)
Let l(s) be the second derivative of -s**4/3 - 40*s**3/3 - 72*s**2 - 2*s - 829. Determine y, given that l(y) = 0.
-18, -2
Factor 2039334*u - 1749*u**2 + 1/2*u**3 - 792621148.
(u - 1166)**3/2
Let r(p) be the second derivative of -p**6/1200 - p**5/100 - 3*p**4/80 - p**3/15 + 56*p**2 + 5*p - 2. Let s(d) be the first derivative of r(d). Factor s(t).
-(t + 1)**2*(t + 4)/10
Let q(b) be the third derivative of 0*b**4 - 1/60*b**5 - 58*b**2 - 1/120*b**6 + 0*b + 0*b**3 + 0. Factor q(d).
-d**2*(d + 1)
Let l = -7372 + 15149/2. Let b(z) be the second derivative of 30*z + 0 - l*z**2 - 5/12*z**4 - 15*z**3. Factor b(w).
-5*(w + 9)**2
Let m be (2/8)/(3/12). Let z be (0 - (-7 + m))*(-56)/(-21). Determine g so that -1 - 3*g**2 + g**2 + 4*g**2 - z*g + 33 = 0.
4
Let t = -783 + 789. Let h(m) be the third derivative of -19/12*m**4 + 0 - 33/20*m**5 - 27/80*m**t + 0*m - 2/3*m**3 + 6*m**2. Find c, given that h(c) = 0.
-2, -2/9
Find p such that 76*p**2 + 43*p**3 - 19*p + 6*p**3 + 4*p + 271*p**3 + 19*p - 400*p**4 = 0.
-1/10, 0, 1
Suppose 396*n = -786*n - 679*n. Solve n - 112/5*r**2 - 4/5*r**4 + 64/5*r**3 + 0*r = 0 for r.
0, 2, 14
Let v(r) = 3*r**3 + 15*r**2 - 48*r - 176. Let a(x) = -x**3 + x**2 - 1. Let j(y) = 20*a(y) + 5*v(y). Factor j(z).
-5*(z - 15)*(z - 6)*(z + 2)
Let k(x) be the third derivative of x**6/144 + 23*x**5/360 + x**4/6 + 50*x**2 + 4*x. Let k(v) = 0. What is v?
-3, -8/5, 0
Let h(y) = 6*y**2 - 2*y + 2. Let o(s) = 4467*s**2 - 8924*s + 24. Let b(n) = -2*h(n) + o(n). Factor b(m).
5*(m - 2)*(891*m - 2)
What is z in 7210/3*z**2 - 11074/9*z**3 + 3500/9 + 686/9*z**4 - 14950/9*z = 0?
5/7, 14
Let g = 395 + -388. Find o, given that 39 - 5*o**3 - 145*o + 68 + 50*o**2 - g = 0.
1, 4, 5
Let z(a) = -a**3 - a. Let t(q) = -q**3 + 135*q**2 - 786*q + 640. Let x(m) = -t(m) + 6*z(m). Factor x(n).
-5*(n - 4)*(n - 1)*(n + 32)
Let r be (-384)/20 + 0 + 10/50. Let g be (12/(-7))/(r/(2926/297)). Let 2/9*n**4 - g - 16/9*n - 2/3*n**2 + 4/9*n**3 = 0. Calculate n.
-2, -1, 2
Factor 23*c + 9864*c**3 - 25*c**2 + 49*c - c**2 - 9862*c**3.
2*c*(c - 9)*(c - 4)
Let d be (-11704)/(-2508)*6/7*1. Let c(g) be the first derivative of -2/9*g**3 - 1/18*g**d - 2/9*g + 20 - 1/3*g**2. Factor c(a).
-2*(a + 1)**3/9
Let u(m) be the first derivative of -m**5/5 + m**4/4 + 106*m**3/3 + 148*m**2 + 192*m + 5390. Suppose u(h) = 0. Calculate h.
-8