pose -o**2 + 0*o**2 - o**2 + s*o + 8*o = 0. Calculate o.
0, 5
Let r(l) be the first derivative of 2*l**6/21 + 32*l**5/35 + 17*l**4/7 + 40*l**3/21 - 91. Find x such that r(x) = 0.
-5, -2, -1, 0
Let s(d) be the first derivative of d**6/30 - 3*d**5/5 + 5*d**4/2 - 14*d**3/3 - 113*d**2/2 - 37. Let v(n) be the second derivative of s(n). Solve v(o) = 0.
1, 7
Suppose -3*w = -2*n - 14 + 6, -2*n = 3*w - 28. Let l(y) = 5*y**3 - 11*y**2 + 3*y. Let i(h) = 4*h**3 - 10*h**2 + 4*h. Let v(c) = w*i(c) - 4*l(c). Factor v(z).
4*z*(z - 3)*(z - 1)
Find j, given that -38*j - 24*j**4 + 27*j**4 + 38*j**3 + 7 - 101941*j**2 - 31 + 101962*j**2 = 0.
-12, -1, -2/3, 1
Suppose 4*w = 148 - 164. Let q(n) = -8*n**2 + 272*n - 4620. Let p(a) = 23*a**2 - 816*a + 13861. Let x(i) = w*p(i) - 11*q(i). Factor x(g).
-4*(g - 34)**2
Let c = 1/37552 - -262861/112656. Suppose 1/3*d**3 + 0*d**2 - 2 - c*d = 0. What is d?
-2, -1, 3
Let j be 229/15 + (0 - (-5 - -2))/(-5). Let 4/3 + j*m + 39*m**2 = 0. What is m?
-2/9, -2/13
Factor 0 - 138/5*y**2 - 16/5*y.
-2*y*(69*y + 8)/5
Let q(g) = -2*g**3 - 7*g**2 - 6*g + 1. Let f be q(-1). Factor 49*w - 362*w**2 + 28*w - 9 + 73*w - 263*w**f.
-(25*w - 3)**2
Let y = -415387/4 - -103847. Determine h, given that -625/4 - 25/2*h - y*h**2 = 0.
-25
Let w(d) = 15*d**3 - 24*d**2 - 63*d - 60. Let b(q) = 5*q + 21. Let z be b(-4). Let h(k) = 3*k**3 - 1. Let l(o) = z*w(o) - 6*h(o). Suppose l(a) = 0. What is a?
-3, -2
Suppose -13*t = -15*t - 3*r + 54, -50 = -2*t - 5*r. Suppose 2*i + 4*k = t, 0 = -73*k + 74*k. Factor i + 21/2*g + 3/2*g**2.
3*(g + 2)*(g + 5)/2
Let g(c) be the third derivative of -11*c**8/1344 - 7*c**7/120 - 29*c**6/240 + c**5/60 + c**4/4 - 1507*c**2. What is f in g(f) = 0?
-2, -1, 0, 6/11
Factor 28/5*z + 2*z**2 - 174/5.
2*(z - 3)*(5*z + 29)/5
Let w(j) = 7*j**3 + 70*j**2 - 64*j - 357. Let l(d) = 11*d**3 + 106*d**2 - 95*d - 534. Let s(z) = 5*l(z) - 8*w(z). Factor s(m).
-(m - 3)*(m + 2)*(m + 31)
Let q = -1070 - -1840. Let t = 1541/2 - q. What is s in 1/8*s - t*s**2 + 1/4*s**4 + 1/4 - 1/4*s**3 + 1/8*s**5 = 0?
-2, -1, 1
Suppose 0*l - 2*l = -0*l. Suppose f = -b + 14 - 2, -3*f + 12 = l. Suppose -b + 0*j**2 - 24*j - 12*j**3 - 26*j**2 - 15*j**3 + 15*j**3 - 2*j**4 = 0. Calculate j.
-2, -1
Let x(h) be the second derivative of h**6/15 - 2*h**5/5 - 16*h**4/3 - 1819*h + 1. Factor x(l).
2*l**2*(l - 8)*(l + 4)
Let s(o) be the second derivative of o**8/43680 - o**7/5460 + o**6/1560 - o**5/780 - 31*o**4/4 - 6*o + 2. Let w(n) be the third derivative of s(n). Factor w(m).
2*(m - 1)**3/13
Let y(n) be the first derivative of -17*n**6/840 - 2*n**5/35 + n**4/56 + 40*n**3/3 + 114. Let u(z) be the third derivative of y(z). Solve u(h) = 0.
-1, 1/17
Let u = -1125260 + 16889876/15. Factor 88/15*k**3 - 448/5*k**2 - u - 2/15*k**4 + 1568/3*k.
-2*(k - 14)**3*(k - 2)/15
Let s(v) = -13*v**3 + 16701*v**2 + 4180*v + 9. Let k(l) = 5*l**3 - 8350*l**2 - 2090*l - 5. Let j(m) = 9*k(m) + 5*s(m). Determine a so that j(a) = 0.
-1/4, 0, 418
Let d be (-3 - 2)/(-10)*0. Suppose f + 20 - 32 = d. What is x in 4*x - 5*x**4 + 5*x**2 + f*x - 16*x = 0?
-1, 0, 1
Let i(o) be the second derivative of 2/39*o**4 + 2 + 2/13*o**2 + 1/130*o**5 + 5/39*o**3 + 32*o. Factor i(j).
2*(j + 1)**2*(j + 2)/13
Let k = -1 + 1. Suppose 3*t - 1 = -n, -t - 7*n + 6*n = -1. Factor t + 1/3*f**3 - 1/6*f**4 + k*f - 1/6*f**2.
-f**2*(f - 1)**2/6
Let f = 206 + -202. Factor -50 - f*j**2 + 9*j**2 + 17*j - 10 + 3*j.
5*(j - 2)*(j + 6)
Let q(b) be the third derivative of -1/216*b**4 + 1/54*b**3 - 1/540*b**5 + 0*b + 1/1080*b**6 - 11*b**2 + 0. Factor q(i).
(i - 1)**2*(i + 1)/9
Suppose -14032 - 147*i**2 + 9697*i - 1362*i - 1043*i**2 + 13997 = 0. Calculate i.
1/238, 7
Let d(f) be the second derivative of f**9/30240 + f**8/13440 - f**7/5040 - f**6/1440 + f**4/6 - 8*f - 2. Let w(y) be the third derivative of d(y). Factor w(x).
x*(x - 1)*(x + 1)**2/2
Let l = 60005 - 660496/11. Let f = l - -41. Factor -6/11 - 14/11*k - f*k**2 - 2/11*k**3.
-2*(k + 1)**2*(k + 3)/11
Let m(z) be the first derivative of -z**4/6 + 116*z**3/9 - 167*z**2/3 + 220*z/3 - 1525. Find j such that m(j) = 0.
1, 2, 55
Let h(u) be the third derivative of -u**5/160 - 357*u**4/32 - 713*u**3/16 + 230*u**2 + 7. Factor h(i).
-3*(i + 1)*(i + 713)/8
Let j(q) = -26*q**3 - 39*q**2 + 86*q + 5. Let d(w) = -62*w**3 - 98*w**2 + 216*w + 12. Let z(s) = 5*d(s) - 12*j(s). Solve z(p) = 0.
0, 3, 8
Let w = -6538 - -6589. Let q(v) be the second derivative of -1/2*v**2 + w*v - 1/40*v**5 + 0 + 1/12*v**4 + 1/12*v**3. Factor q(p).
-(p - 2)*(p - 1)*(p + 1)/2
Let g(f) be the first derivative of 2*f**5/55 + f**4/22 - 34*f**3/33 + 15*f**2/11 + 4420. Determine c so that g(c) = 0.
-5, 0, 1, 3
Factor 37875*h**2 - 14711506605 + 5*h**3 + 41507325337 + 95634375*h + 53696446893.
5*(h + 2525)**3
Determine q so that -68*q**3 + 37*q**2 + 517*q**2 - 260*q**2 - q**3 - 72*q = 0.
0, 6/23, 4
Factor -432/7*g**2 - 72/7*g**3 + 0 - 864/7*g - 4/7*g**4.
-4*g*(g + 6)**3/7
Let c be (-1)/(2/(-14)*504/360). Let n(z) be the second derivative of -3/5*z**c + 0*z**2 - 2/7*z**7 + 0 + 15*z + z**4 + 4/3*z**3 - 14/15*z**6. Factor n(p).
-4*p*(p + 1)**3*(3*p - 2)
Let b(d) = -11*d**3 - 12*d**2 + 21*d. Let n(u) = 7*u**3 - 9*u**3 - 11*u + 4*u**3 + u**2 + 9*u. Let y(i) = b(i) + 6*n(i). Factor y(v).
v*(v - 3)**2
What is t in 245*t**2 + 655*t + 16*t**3 + 389 + 14*t**3 + 68 + 113 = 0?
-19/6, -3, -2
Suppose -6*s - 22 = -4. Let y(f) = 2*f**3 + 5*f**2 - 5*f - 3. Let c be y(s). Factor 8*b**2 + 2*b**2 - 5*b - 3*b - 5*b**c + 3*b.
-5*b*(b - 1)**2
Let z(b) = 9*b**3 + 126*b**2 + 20*b + 4. Let j(d) = -10*d**3 - 125*d**2 - 25*d - 5. Let w(c) = -4*j(c) - 5*z(c). Factor w(i).
-5*i**2*(i + 26)
Factor 16*h + h + 70*h**2 - 205*h**3 + 63*h - 150*h**2 - 45*h**4.
-5*h*(h + 1)*(h + 4)*(9*h - 4)
Factor 43338 - 43338 - 2220*x**3 + 3*x**4 + 138325*x**2 + 28544*x**2 + 243831*x**2.
3*x**2*(x - 370)**2
Let m(r) = -49*r**2 + 85*r**2 - 27*r**2 + 3 + 3*r**3. Let p(q) = -1. Let h = 1 - 0. Let v(g) = h*m(g) + 15*p(g). Solve v(y) = 0.
-2, 1
Let t be (-113738)/1740 + 2 + (-3)/2. Let f = -9488/165 - t. Determine y, given that -1/11*y**2 - 18/11*y - f = 0.
-9
Let i = 343/453 + 87/151. Find a, given that -2/9*a**4 + i*a**3 + 22/9*a + 2/3 + 28/9*a**2 - 2/9*a**5 = 0.
-1, 3
Let l(a) = a**3 - 33*a**2 + 31*a + 44. Let s be l(32). Suppose 841*r + s = 845*r. Determine d, given that 6/5*d**4 + 36/5*d**2 + 6/5 + 24/5*d + 24/5*d**r = 0.
-1
Let d(f) = -470*f**2 - 585*f - 40. Let s(q) = -7*q**2 + q. Let t(g) = d(g) - 25*s(g). Determine a, given that t(a) = 0.
-2, -4/59
Suppose 44*c = g + 47*c + 10, 2*c + 8 = 0. Let h(t) be the second derivative of 147/2*t**g + 1/4*t**4 + 2*t + 0 + 7*t**3. Factor h(z).
3*(z + 7)**2
Let d(h) = 11*h**5 - 5*h**4 + 37*h**3 + 17*h**2 - 24*h - 12. Let m(i) = -i**5 - 3*i**3 - i**2 + 2*i + 1. Let c(n) = -d(n) - 12*m(n). Solve c(p) = 0 for p.
-5, -1, 0, 1
Let n(w) = -17*w**2 + 288*w - 6919. Let u(o) = -128 - 2*o**2 + 96*o - 1382 - 3*o**2 - 796. Let h(b) = -2*n(b) + 7*u(b). Let h(v) = 0. What is v?
48
Let s(b) be the second derivative of b**5/80 + 35*b**4/48 + 12*b**3 - 81*b**2/2 + b - 468. Factor s(d).
(d - 1)*(d + 18)**2/4
Let q(d) be the second derivative of d**8/10920 + d**7/1820 + d**6/2340 + 11*d**4/4 - 10*d - 4. Let b(l) be the third derivative of q(l). Factor b(n).
2*n*(n + 2)*(4*n + 1)/13
Let o = 47/53 - 1004/1431. Let j(b) be the second derivative of 0 + o*b**3 - 12*b + 0*b**2 - 1/54*b**4. Factor j(n).
-2*n*(n - 5)/9
Let f(d) be the first derivative of -131 - 8/9*d - 5/9*d**2 - 2/27*d**3. Factor f(c).
-2*(c + 1)*(c + 4)/9
Let x = -14185897/13 + 1091223. Factor 22/13*f**2 + 0 + x*f**3 + 20/13*f.
2*f*(f + 1)*(f + 10)/13
Let x(b) be the third derivative of 74*b**7/105 + 113*b**6/90 - 1774*b**5/45 + 1094*b**4/9 + 80*b**3/9 + 572*b**2 - 6. Let x(t) = 0. What is t?
-5, -2/111, 2
Let a(m) be the second derivative of -2*m**6/75 + 868*m**5/25 - 94178*m**4/5 + 81746504*m**3/15 - 4434747842*m**2/5 - 69*m + 1. Solve a(k) = 0 for k.
217
Let b(f) = f**3 - 33*f**2 + 277*f - 5607. Let g be b(30). Suppose 2*s + 0 - 2/5*s**4 + 6/5*s**g + 18/5*s**2 = 0. What is s?
-1, 0, 5
Find x such that -36*x**2 - 318 - 1222 + 21*x**2 + 14*x**2 - 313*x = 0.
-308, -5
Suppose n = -2*d + 11 + 10, 5*d - 63 = n. Factor -1 - s**2 + s + 7 - d*s - 16.
-(s + 1)*(s + 10)
Let a = -45 - -48. Let i be 192/9*a + 0