e first derivative of -o**6/36 + 41*o**5/15 - 239*o**4/3 + 4792*o**3/9 - 4484*o**2/3 + 5776*o/3 - 2097. Let y(l) = 0. Calculate l.
2, 38
Factor -2*l**2 - 200978 - 246*l + 498*l + 651*l + 365*l.
-2*(l - 317)**2
Let n be (-152)/(-24) - (108/(-16) + 17/(-68)). Factor 2/3*a**3 + 2/3*a**2 - 32/3*a + n.
2*(a - 2)**2*(a + 5)/3
Let h(o) = -o**3 + 10*o**2 + 13*o - 18. Let z be h(11). Factor 3*q**3 + 0*q**5 - q**z - 174*q**2 - q**5 + 175*q**2 - 2*q.
-q*(q - 1)**2*(q + 1)*(q + 2)
Suppose 0 = -6*b - 38*d + 42*d + 4, -3*b - 2*d + 5*d = 0. Determine c so that -9 + 1/4*c**b - 4*c = 0.
-2, 18
Factor 0*k**5 + 186*k - 296221*k**2 + k**5 + 90*k**3 - 16*k**4 - 61*k + 296021*k**2.
k*(k - 5)**3*(k - 1)
Let x be (-7 - -9 - -3)*164/10. Let q be (-5)/((-300)/x) - 4/(-30). Factor 9/2*y**2 + 6*y + q.
3*(y + 1)*(3*y + 1)/2
Let w(f) be the second derivative of f**5/570 + 5*f**4/57 + f**3/3 + 15*f**2 + 131*f. Let r(o) be the first derivative of w(o). Factor r(u).
2*(u + 1)*(u + 19)/19
Let r(g) be the third derivative of g**6/60 - 581*g**5/10 + 337561*g**4/4 - 196122941*g**3/3 + 3013*g**2. Find u such that r(u) = 0.
581
Let h(f) be the second derivative of 16*f + 3*f**2 + 8/3*f**3 - 5/6*f**4 + 0 + 1/15*f**5. Let l(q) be the first derivative of h(q). Solve l(d) = 0.
1, 4
Suppose 9*x = -5*p + 5*x + 22, -1 = -5*p + 3*x. Solve 26*n**4 - 30*n**4 + 16*n**2 - p*n**3 - 4*n + 3*n**3 = 0 for n.
-2, 0, 1/4, 2
Suppose -51*i + 174*i - 1845 = 0. Let m(u) be the first derivative of -2/21*u**3 - 8/7*u - i - 5/7*u**2. Suppose m(d) = 0. Calculate d.
-4, -1
Let m(x) be the third derivative of 0*x - 13*x**2 - 1/20*x**5 - 3 - 1/8*x**4 + 6*x**3. Suppose m(y) = 0. What is y?
-4, 3
What is f in 2248*f**4 - 2275*f**4 + 828 + 2787*f**2 + 1062*f**3 + 5382*f**2 + 5088*f = 0?
-6, -1/3, 46
Let k = 2516 + -1621. Let s = k + -1789/2. Let -3/4*x**2 + s*x + 1/4*x**4 + 0 + 0*x**3 = 0. What is x?
-2, 0, 1
Let g be (3*(-3)/(-36)*4)/((-5)/(-2)). Let n be 49/(-35) - 3*-1. Determine o so that -2/5*o**3 - 8/5 + n*o**2 + g*o = 0.
-1, 1, 4
Let d(y) be the first derivative of 2*y**3/15 - 6206*y**2/5 + 19257218*y/5 + 4128. Factor d(u).
2*(u - 3103)**2/5
What is a in 6/5*a**4 + 0*a + 0 + 1336/5*a**2 + 2008/5*a**3 = 0?
-334, -2/3, 0
Let k(n) be the third derivative of 2*n**2 - 3/4*n**4 - 4 + 2/5*n**5 + 0*n - 1/70*n**7 + 3/20*n**6 - 7/2*n**3. Factor k(s).
-3*(s - 7)*(s - 1)*(s + 1)**2
Let t = 1252 - 1254. Let q be (-7)/t - (-6)/12. Factor -1/2*i**5 + 5/2*i - 2*i**3 - 2*i**q + i**2 + 1.
-(i - 1)*(i + 1)**3*(i + 2)/2
Let y = -3 + 11. Suppose y*o**2 - 5*o**4 + 12*o**3 - 19*o**2 + 5*o + 3*o**3 - 4*o**2 = 0. What is o?
0, 1
Suppose -4*f - 26 = -3*t, -f + 5 = 5*t - 0. Factor 29238 + 4*k**t - 7334 - 176*k + 768*k.
4*(k + 74)**2
Let z(v) be the first derivative of -v**6/6 + 5*v**5 - 183*v**4/4 + 275*v**3/3 + 242*v**2 + 1864. Factor z(b).
-b*(b - 11)**2*(b - 4)*(b + 1)
Find c such that 476/11*c**4 - 6/11*c**5 + 2318/11*c**3 + 2844/11*c**2 + 1008/11*c + 0 = 0.
-3, -1, -2/3, 0, 84
Let f(r) be the second derivative of r**5/4 + 35*r**4/12 - 85*r**3/3 - 100*r**2 - r - 108. Factor f(x).
5*(x - 4)*(x + 1)*(x + 10)
Let v be ((-42)/(-40))/(1134/3888). Find k such that 3/5*k**5 - 24/5*k**2 + v*k**3 + 0 - 21/5*k + 24/5*k**4 = 0.
-7, -1, 0, 1
Solve -1338*z + 891/2 + 9/2*z**2 = 0 for z.
1/3, 297
Let z(v) = 30*v**3 + v**2 + 3*v - 14. Let x be z(3). Let l = x - 811. Factor 0*m + 1/3*m**l - m**2 + 4/3.
(m - 2)**2*(m + 1)/3
Factor -134 + 140/3*g - 2/3*g**2.
-2*(g - 67)*(g - 3)/3
Let w(c) = -8*c + 275. Let q be w(34). Factor 3*m**2 + 6*m**2 - 5*m**3 + 7*m + 4*m**4 + 2 + m**3 + 9*m**q - 3*m**4.
(m + 1)**3*(m + 2)
Let z(p) be the first derivative of -4/3*p**3 + 0*p + 243 + 22*p**2. Suppose z(o) = 0. Calculate o.
0, 11
Determine v, given that -180 + 11*v + 2*v**3 + 5*v + 110*v - 28*v**2 = 0.
3, 5, 6
Solve 336/5 - 26/5*m - 2/5*m**2 = 0 for m.
-21, 8
Let t = -24 + 44. Suppose -8*k + t = 2*k. Factor 0*h**3 + 14*h**2 + k*h**3 - 12*h - 24*h**2 - 4*h**3.
-2*h*(h + 2)*(h + 3)
Suppose 20 = 4*h - 0*h. Let z = -44 + 52. Factor h*l + z + l**2 - 2 - 3 - l.
(l + 1)*(l + 3)
Let d(h) = 68*h**3 + 220*h**2 + 96*h - 398. Let r be 3/(-6)*8 + -1. Let t(b) = -23*b**3 - 73*b**2 - 32*b + 133. Let c(s) = r*d(s) - 14*t(s). Factor c(i).
-2*(i - 1)*(3*i + 8)**2
Let 315*a + 72 - 378*a + 111 - 45 - 3*a**2 = 0. Calculate a.
-23, 2
Let v(j) be the second derivative of 19/6*j**3 + 6*j + 0 - 1/900*j**6 + 4/75*j**5 + 0*j**2 - 16/15*j**4. Let k(i) be the second derivative of v(i). Factor k(f).
-2*(f - 8)**2/5
Let w(f) = -28*f**4 - 284*f**3 + 1632*f**2 - 2640*f + 1180. Let l(k) = -10*k**4 - 95*k**3 + 543*k**2 - 880*k + 393. Let h(n) = 20*l(n) - 7*w(n). Factor h(y).
-4*(y - 10)**2*(y - 1)**2
Let q be 35/(-28) + (-15)/20. Let w be q/18 - (-43)/63. Factor -4/7*p**3 + 8/7*p**2 - w*p + 0.
-4*p*(p - 1)**2/7
What is r in 60*r + 16273*r**4 - 31*r**3 - r**3 - 26*r**2 - 16275*r**4 = 0?
-15, -2, 0, 1
Let t = -441681 + 5741855/13. Let 4/13*s**2 - 4/13 - t*s + 2/13*s**3 = 0. Calculate s.
-2, -1, 1
Determine g, given that 0 - 4563/4*g**3 - 3/4*g**4 - 390971529/4*g - 2313441/4*g**2 = 0.
-507, 0
Suppose 2*g + a + 0*a = -113, -287 = 5*g + a. Let b be (g/116)/(-1*(-13)/(-4)). Suppose b*r - 4/13*r**2 + 2/13 = 0. Calculate r.
-1/2, 1
Determine n so that -126/5 - 249/5*n + 6/5*n**2 = 0.
-1/2, 42
Let g(w) = 8*w**3 - 4*w**2 - 7*w + 5. Let l be g(1). Let q(i) be the first derivative of 0*i + 3*i**3 + 0*i**2 + l + 3/4*i**4. Factor q(d).
3*d**2*(d + 3)
Let q(z) = -23*z + 429. Let h(x) = 5*x - 86. Let j(w) = 11*h(w) + 2*q(w). Let p be j(10). Factor 4 - 7/2*b**3 - 10*b + 1/2*b**4 + 9*b**p.
(b - 2)**3*(b - 1)/2
Let p(k) = k**3 - 12*k**2 - 14*k + 15. Let v be p(13). Suppose -n - 3*n = 0. Factor n*q**2 - 6*q**2 + 2*q**3 + 0*q**v + 4*q**2.
2*q**2*(q - 1)
Let i(c) be the third derivative of -c**7/630 + 13*c**6/90 - 47*c**5/36 + 7299*c**2. Solve i(f) = 0 for f.
0, 5, 47
Suppose -2*h = 5*n - 170, 0*n - 4*h + 88 = 3*n. Suppose -2*r + 0*r + n = 0. What is i in -27 - i**2 + r*i**2 + 3*i**4 + 18*i**3 - 18*i + 7*i**2 = 0?
-3, -1, 1
Let j be 10/8 - 159375/(-68). Factor -1167*d**3 - 15*d + 6*d**2 + 2 - 1171*d**3 + j*d**3.
(d - 1)*(d + 2)*(7*d - 1)
Let v = -942246 + 942251. Factor v - a**2 - 13/3*a + 1/3*a**3.
(a - 5)*(a - 1)*(a + 3)/3
Let n be -1*(-1 + 2)*5 + 610/122. Factor 2/7*f**2 - 4*f + n.
2*f*(f - 14)/7
Suppose 0 = 191*n - 199*n + 560. Let k be (240/35)/(-12) + 54/n. Factor 1/5*d**2 + k*d**3 + 0*d + 0.
d**2*(d + 1)/5
Let p(c) be the third derivative of -c**5/20 - 5*c**4/4 - 9*c**3/2 - 7*c**2 + 77*c - 2. What is a in p(a) = 0?
-9, -1
Let x(s) be the third derivative of s**8/2240 + s**7/420 - 47*s**4/12 + 85*s**2. Let i(t) be the second derivative of x(t). Factor i(c).
3*c**2*(c + 2)
Suppose 2/11*c**2 + 0 + 46/11*c = 0. What is c?
-23, 0
Find f, given that 5*f**2 + 142*f + 19 + 301 + 183*f = 0.
-64, -1
Suppose -15 = 4*r + m - 68, 5*r + 5*m = 130. Suppose -r - 3/4*z**3 + 3/4*z**2 + 6*z = 0. What is z?
-3, 2
Let w(o) = -o**3 + 18*o**2 + 39*o + 26. Let f(a) = 35*a**2 + 76*a + 2*a**3 - 4*a**3 + 59 - 6. Let x(i) = 6*f(i) - 14*w(i). Solve x(m) = 0 for m.
-1, 23
Let s(i) be the second derivative of -i**6/120 - i**5/80 + 7*i**4/48 + 13*i**3/24 + 3*i**2/4 + 439*i + 3. Factor s(z).
-(z - 3)*(z + 1)**2*(z + 2)/4
Let j(r) = 17*r**3 - 38*r**2 + 3108*r - 25862. Let g(a) = 15*a**3 - 39*a**2 + 3108*a - 25863. Let q(z) = -10*g(z) + 9*j(z). Let q(d) = 0. Calculate d.
-44, 14
Let s(n) be the third derivative of 13/276*n**4 - 105*n**2 + 0 + 0*n - 1/690*n**5 + 10/23*n**3. Solve s(i) = 0.
-2, 15
Let t be (6 + -5)*(-2)/(-4). Let z = -2031 - -8127/4. Find y, given that t + 7/4*y + z*y**2 = 0.
-2, -1/3
Factor -6241/7 - 1/7*m**4 + 12640/7*m + 160/7*m**3 - 6558/7*m**2.
-(m - 79)**2*(m - 1)**2/7
Let t(d) be the first derivative of -1/1080*d**6 - 28 + 0*d - 1/180*d**5 + 0*d**2 + 14/3*d**3 + 0*d**4. Let h(f) be the third derivative of t(f). Factor h(j).
-j*(j + 2)/3
Let j(l) be the third derivative of -l**8/294 + 289*l**7/735 + 26*l**6/21 - 74*l**5/105 - 1045*l**2. Suppose j(y) = 0. What is y?
-2, 0, 1/4, 74
Let t(g) be the second derivative of 3*g**5/20 - 9*g**3/2 - 1494*g. Factor t(z).
3*z*(z - 3)*(z + 3)
Let n(l) = -5*l**3 + 18*l**2 + 32*l - 18. Let f(i) = -4*i**3 + 19*i**2 + 34*i - 15. Let b(g) = 6*f(g) - 5*n(g). Factor b(c).
c*(c + 2)*(c + 22