(o). Find d, given that c(d) = 0.
0, 1, 2
Determine n, given that 1/3*n**2 - 92 - 11/3*n = 0.
-12, 23
Let p(d) be the first derivative of 1/15*d**5 - 3/2*d**4 + 16/3*d**3 - 3*d**2 - 11 + 0*d. Let s(w) be the second derivative of p(w). Solve s(r) = 0.
1, 8
Solve -92/3*w**3 - 272/3 - 71/3*w**4 - 2/3*w**5 + 400/3*w + 352/3*w**2 = 0 for w.
-34, -2, 1/2, 2
Let r = -518943/5 - -103791. Solve 0*n**2 + 3/5*n**3 - 3*n**4 + r*n**5 + 0*n + 0 = 0 for n.
0, 1/4, 1
Factor 4/7*s**3 + 2/7*s**4 + 34848/7 - 526/7*s**2 - 528/7*s.
2*(s - 11)**2*(s + 12)**2/7
Let s(w) be the first derivative of -16/15*w + 2/15*w**2 + 2/45*w**3 - 76. Factor s(j).
2*(j - 2)*(j + 4)/15
Let r(k) be the third derivative of 0*k**3 + 1/30*k**5 + 1/60*k**6 - 1/420*k**7 + 7*k**2 - 1/3*k**4 + 14*k + 0. Factor r(f).
-f*(f - 4)*(f - 2)*(f + 2)/2
Let l(h) be the second derivative of -7/240*h**6 + 0*h**2 - 4 - 3/32*h**5 - 1/12*h**3 - 13/96*h**4 - h - 1/336*h**7. Factor l(y).
-y*(y + 1)**3*(y + 4)/8
Suppose -25*r - 5*c + 145 = 0, -30621*c = -r - 30617*c - 53. Factor 18/5*u + 44/5 - 24/5*u**2 + 2/5*u**r.
2*(u - 11)*(u - 2)*(u + 1)/5
Suppose 176/5 - 178/5*n**2 + 2/5*n**4 - 84/5*n**3 + 84/5*n = 0. What is n?
-2, -1, 1, 44
Let l(h) be the second derivative of h**5/5 + 8*h**4 + 86*h**3 + 340*h**2 - 8486*h. Determine n, given that l(n) = 0.
-17, -5, -2
Let l = -360027 + 360027. Solve -5*j + l + 1/4*j**3 - 2*j**2 = 0.
-2, 0, 10
Solve -108/7*l**2 + 102/7*l**3 - 102/7*l + 15 + 3/7*l**4 = 0.
-35, -1, 1
Let w(f) = 13*f + 42. Let s = 85 - 88. Let c be w(s). Factor 8/7*q**4 + 0 + 12/7*q**2 - 2/7*q - 18/7*q**c.
2*q*(q - 1)**2*(4*q - 1)/7
Let u(n) be the second derivative of -n**5/60 - 2807*n**4/12 - 7879249*n**3/6 - 22117051943*n**2/6 + 2*n - 2. Factor u(s).
-(s + 2807)**3/3
Let f(d) be the third derivative of -d**6/60 + d**5/6 + 41*d**4/12 - 15*d**3 + 1480*d**2 - 1. Solve f(g) = 0.
-5, 1, 9
Let x(c) = -15*c**2 + 108*c + 468. Let w(i) = 13*i**2 - 108*i - 470. Let d(v) = -6*w(v) - 5*x(v). Factor d(f).
-3*(f - 40)*(f + 4)
Suppose -3*s + 21*c = 20*c, 5*c = -2*s. Factor s + 3/5*n**4 - 9/5*n**3 - 3/5*n + 9/5*n**2.
3*n*(n - 1)**3/5
Let n = -479 - -491. Let u be (-7 + n)*18/225. Solve 2*m - u*m**2 - 6/5 - 2/5*m**3 = 0.
-3, 1
Let r(p) be the second derivative of 2*p**6/15 + 16*p**5/5 + 95*p**4/3 + 496*p**3/3 + 480*p**2 + 377*p. Factor r(q).
4*(q + 3)*(q + 4)**2*(q + 5)
Let o(y) be the first derivative of -1/2*y**3 - 5/2*y**4 + 30 - 9/20*y**5 + 6*y + 9*y**2. Let i(g) be the first derivative of o(g). Factor i(a).
-3*(a + 1)*(a + 3)*(3*a - 2)
Suppose 0 = -21*f + 47797 - 47755. Determine k, given that 6/13*k**f + 2/13*k**5 + 0*k + 0 - 6/13*k**4 - 2/13*k**3 = 0.
-1, 0, 1, 3
Suppose -26 = 2*l - u - 37, 0 = 5*l + 3*u - 33. Let f be -5 - (-9 + (l - 5)). Factor 49*k + 1/3*k**f + 343/3 + 7*k**2.
(k + 7)**3/3
Let m(t) be the first derivative of -44*t**5/5 - 35*t**4 - 8*t**3 + 88*t**2 + 32*t + 4644. Let m(g) = 0. What is g?
-2, -2/11, 1
Let t(v) be the first derivative of -2*v**3/3 + 2416*v**2 - 2918528*v - 6268. Factor t(q).
-2*(q - 1208)**2
Let s(r) = r**3 - 6*r**2 + 7*r. Let a be s(4). Let g be 7 + (8/a - (2 + -1)). Factor 5*t**4 - 218*t + 10*t**2 + 5 + 223*t + 10*t**3 - g + t**5.
(t + 1)**5
Let k = -239 - -242. Find m, given that 22*m**3 - 18 - 10*m**3 - 18*m**2 + 33*m - 5*m**3 - 4*m**k = 0.
1, 2, 3
Solve 630 + 1/7*v**3 + 3*v - 32/7*v**2 = 0 for v.
-10, 21
Factor -61*g**2 - 1248*g + 119*g**2 + 97344 - 54*g**2.
4*(g - 156)**2
Factor -5*p**4 - 13534*p**5 + 6763*p**5 - 6*p - 2*p**3 + 11*p**2 + 6773*p**5.
p*(p - 2)*(p - 1)**2*(2*p + 3)
Suppose -72 = -3*y - 3*h, 5*y + 24 = -2*h + 156. Suppose -11*o + 16 = -y. Factor -11/2*w**2 + 0 + 8*w**3 + w - 7/2*w**o.
-w*(w - 1)**2*(7*w - 2)/2
Let a(g) be the first derivative of -8508889*g**3/18 - 2917*g**2/3 - 2*g/3 - 4381. Factor a(w).
-(2917*w + 2)**2/6
Suppose -104*j + 1367 = 224*j + 383. Factor -20/3*s**2 - 2/3*s**5 + 0 - 14*s**j - 8*s**4 + 0*s.
-2*s**2*(s + 1)**2*(s + 10)/3
Factor -4/3 + 88/3*q + 15*q**2.
(q + 2)*(45*q - 2)/3
Let q(v) be the third derivative of -v**8/840 + 46*v**7/525 + v**6/6 - 68*v**5/75 - 233*v**4/60 - 94*v**3/15 + 10*v**2 - 112*v. Suppose q(s) = 0. Calculate s.
-1, 2, 47
Let x(f) = 18*f**3 - 9*f**2 - 6*f - 18. Let g(d) = 34 + 29 - d + d**3 - 64. Let a(s) = -15*g(s) + x(s). What is n in a(n) = 0?
1
Let c(f) be the third derivative of -1/24*f**6 + 0*f**3 + 5/12*f**4 + 0 - 33*f**2 + 0*f + 1/12*f**5. Determine p, given that c(p) = 0.
-1, 0, 2
Let u(l) = 2*l**4 + l**3 - 1. Let i(h) = -3*h**4 + 4*h**3 + 8*h**2 + 2. Let t(z) = 2*i(z) + 4*u(z). Factor t(f).
2*f**2*(f + 2)*(f + 4)
Suppose -15*r - 6400 = -35*r. Factor 216*o**2 - 204*o**2 - r + 0*o**3 + 96*o - 4*o**3.
-4*(o - 4)**2*(o + 5)
Let h = -25 - -27. Suppose 5*p = -h*b + 37 + 16, -4*p = -5*b + 50. Solve -5*x**2 - 4 + b - 59*x + 64*x = 0.
-1, 2
Let i = 17010 - 4082399/240. Let c(a) be the third derivative of 0*a + 1/12*a**4 + i*a**5 - 1/2*a**3 + 0 + 5*a**2 - 1/480*a**6. Factor c(b).
-(b - 2)**2*(b + 3)/4
Let p(z) be the first derivative of -z**6/3 - 8*z**5/5 + 9*z**4/2 + 128*z**3/3 + 100*z**2 + 96*z - 4022. Determine o, given that p(o) = 0.
-3, -2, -1, 4
Let i(j) be the third derivative of -j**7/630 - 2*j**6/9 - 40*j**5/3 - j**4/12 + 25*j**3/6 - 56*j**2. Let o(y) be the second derivative of i(y). Factor o(x).
-4*(x + 20)**2
Solve 1523*q**2 + 134587*q + 3067*q**2 + 4*q**3 - 500*q**2 + 767877*q - 2741808 - 278*q**2 = 0 for q.
-478, 3
Let l(j) be the third derivative of j**8/3024 + j**7/189 + 7*j**6/270 + j**5/90 - 5*j**4/24 - 10*j**2 - 93. Factor l(y).
y*(y - 1)*(y + 3)**2*(y + 5)/9
Let i(f) be the first derivative of f**5/25 + 7*f**4/4 + 386*f**3/15 + 752*f**2/5 + 1152*f/5 - 7573. Determine l so that i(l) = 0.
-18, -8, -1
Let v be (2 - 3 - (-3)/6)/(4/(-24)). Let s be (-26)/(-4) - (-2)/(-4). Suppose 133 + s*x**2 - 6*x + v*x**3 + x**2 - 133 = 0. What is x?
-3, 0, 2/3
Let t(j) = -5*j**4 - 470*j**3 + 53824*j**2 - 6. Let z(l) = 7*l**4 + 472*l**3 - 53824*l**2 + 8. Let g(y) = 4*t(y) + 3*z(y). Suppose g(a) = 0. Calculate a.
0, 232
Let d(g) be the first derivative of -11*g**6/480 + 3*g**5/160 + 2*g**3/3 + 19*g + 42. Let n(q) be the third derivative of d(q). Find a such that n(a) = 0.
0, 3/11
Solve -9/2*r**3 + 3/2*r**4 - 9 - 51/2*r - 45/2*r**2 = 0.
-1, 6
Let a(z) = -z**2 - 9*z + 8. Let h be a(-7). Let n be -1 - (-17)/7 - 20/(-35). Find j such that n*j + 6*j**2 - h*j**2 - 6*j = 0.
-1/4, 0
Let y(u) = -74*u**2 + 3*u + 610. Let g(k) = -42*k**2 + 2*k + 304. Let p(s) = -7*g(s) + 4*y(s). Determine b so that p(b) = 0.
-13, 12
Factor 9/4*k**4 - 141/2*k**3 + 0 + 0*k + 93/4*k**2.
3*k**2*(k - 31)*(3*k - 1)/4
Let b(k) be the second derivative of 65*k**4/12 + 8135*k**3/6 + 625*k**2 + 8*k + 33. Determine j so that b(j) = 0.
-125, -2/13
Let s(d) be the first derivative of -d**3 + 1215*d**2 - 492075*d + 1108. Factor s(q).
-3*(q - 405)**2
Suppose b - 4*h = -b - 22, 5*h - 26 = b. Let p be b + -4 + 12 + -2. Factor 523*l + 3*l**2 + p*l**2 - 4*l**3 - 527*l.
-4*l*(l - 1)**2
Let y(x) be the first derivative of x**3/12 + 7*x**2/4 + 6*x + 741. Factor y(i).
(i + 2)*(i + 12)/4
Let v(w) be the second derivative of w**7/56 + w**6/5 + 51*w**5/80 + 5*w**4/8 + 1219*w. Find g such that v(g) = 0.
-5, -2, -1, 0
Factor 2/11*q**3 + 24/11*q**2 - 220 - 18*q.
2*(q - 10)*(q + 11)**2/11
Let c(j) be the second derivative of -j**4/90 - 154*j**3/45 - 1590*j. Suppose c(q) = 0. Calculate q.
-154, 0
Let s(z) = z**2 - 22*z + 9. Let b be s(0). Suppose 4*d - 2*d = 66. What is j in -b - 20*j + d*j**2 + 21*j - 3 - 61*j = 0?
-2/11, 2
Let t be 4 + 0 + -1 + -2 + -1. Let n = 33431/3 + -11143. Solve 0 + 0*x**3 - 2/3*x**4 + n*x**2 + t*x = 0.
-1, 0, 1
Let d(a) be the third derivative of a**7/315 + 167*a**6/30 + 252997*a**5/90 + 83333*a**4/3 + 996004*a**3/9 + 6570*a**2. Suppose d(b) = 0. Calculate b.
-499, -2
Factor -1/2*r**2 + 1/2*r + 45.
-(r - 10)*(r + 9)/2
Suppose -5*n = -12 + 2. Factor -18*j**2 - 8*j**2 - 2*j**5 + 4*j**2 - n*j**4 + 18*j**3 - 10*j + 18*j.
-2*j*(j - 1)**3*(j + 4)
Let s be 8/44 + (-790)/(-11). Let l be (33/44)/(2/s). Determine f so that -l*f - 8 - 9*f**2 - 12*f**2 - 6 + 8 = 0.
-1, -2/7
Let p(n) be the first derivative of 0*n + 0*n**2 + 1/50*n**5 - 1/600*n**6 - 3/40*n**4 + 4*n**3 + 26. Let x(m) be the third derivative of p(m). Factor x(z).
-3*(z - 3)*(z - 1)/5
Let l be 