+ 31047965207*v**3/12 - 3240*v**2 + 1. Factor s(w).
-(w - 3143)**3/2
Determine s, given that 1641672/7 + 3624/7*s + 2/7*s**2 = 0.
-906
Let w(u) be the first derivative of 160*u - 4/5*u**5 - 13*u**4 + 131 + 8*u**2 - 40*u**3. Factor w(v).
-4*(v - 1)*(v + 2)**2*(v + 10)
Let k(u) be the third derivative of 0 - 16/69*u**3 + 0*u + 1/690*u**5 - 114*u**2 + 1/46*u**4. Solve k(n) = 0 for n.
-8, 2
Let b(i) be the third derivative of -i**6/150 + 31*i**5/15 + 3*i**2 + 659. Let b(u) = 0. What is u?
0, 155
Factor -3/8*n + 183/4 + 3/8*n**3 - 183/4*n**2.
3*(n - 122)*(n - 1)*(n + 1)/8
Let h(t) be the first derivative of 2*t - 1/3*t**3 + 150 - 7/6*t**2. Solve h(f) = 0.
-3, 2/3
Let b(a) be the second derivative of a**7/21 + a**6/5 - 13*a**5/10 - 5*a**4/2 + 956*a. Factor b(r).
2*r**2*(r - 3)*(r + 1)*(r + 5)
Let a(l) be the first derivative of -169 + 20000*l - 320*l**4 - 14000*l**2 - 1/3*l**6 + 82/5*l**5 + 9200/3*l**3. Factor a(n).
-2*(n - 10)**4*(n - 1)
Let b(g) = -16*g**3 - 336*g**2 - 2272*g - 1064. Let c(s) = -14*s**3 - 335*s**2 - 2273*s - 1062. Let q(t) = -3*b(t) + 4*c(t). Factor q(x).
-4*(x + 8)*(x + 33)*(2*x + 1)
Let g(f) be the second derivative of f**6/72 + 5*f**5/12 + 85*f**3/3 + 88*f. Let i(a) be the second derivative of g(a). Solve i(j) = 0.
-10, 0
Let i = -105 - -111. Determine l, given that -4*l**3 + 4*l - l + 5 + i + l - 15 + 4*l**2 = 0.
-1, 1
Let n(y) be the second derivative of y**6/36 + 7*y**5/120 - y - 2019. Solve n(h) = 0.
-7/5, 0
Let h(c) be the third derivative of -c**5/270 - 32*c**4/27 + 665*c**3/27 + c**2 - 17*c + 10. Let h(d) = 0. What is d?
-133, 5
Let a(b) = 10*b**2 - b + 3. Let o be a(-2). Suppose 15*h - 22*h + 14 = 0. Factor 80*f + 26 + 24 - o*f**h - 30.
-5*(f - 2)*(9*f + 2)
Let y = 90 - -118. Let z be -1 + 6/5 + y/160. Suppose 6 + z*j - 3/4*j**2 = 0. Calculate j.
-2, 4
Suppose 213 = z + 3*v + 9, 5*v + 940 = 5*z. Let b be 4 - (z/(-12))/(-4). Factor 1/11*s**2 + 0*s + 2/11*s**5 + 4/11*s**3 + b + 5/11*s**4.
s**2*(s + 1)**2*(2*s + 1)/11
Let i(t) be the second derivative of t**5/110 - 3*t**4/11 - 19*t**3/33 + 162*t - 1. Solve i(q) = 0 for q.
-1, 0, 19
Let u(i) be the third derivative of -i**5/70 + 1409*i**4/42 - 313*i**3/7 + 4955*i**2. Suppose u(q) = 0. What is q?
1/3, 939
Suppose -155*t**2 + 54*t - 157*t**3 - 72*t**3 + 104 + 226*t**3 = 0. Calculate t.
-52, -2/3, 1
Let g = -1688 + 14. Let f = -6689/4 - g. Factor -f*y + 1/4*y**3 - 1 - 1/2*y**2.
(y - 4)*(y + 1)**2/4
Factor 21*o**3 - 21*o + 441 - 1763/4*o**2 - 1/4*o**4.
-(o - 42)**2*(o - 1)*(o + 1)/4
Suppose o + 0*o = 20. Suppose -4*k - o = 0, -k = -5*r - 3*k + 105. Factor 5*c**5 + r*c**3 - 17*c**2 - 23*c**2 - 30*c**4 + 37*c**3.
5*c**2*(c - 2)**3
Factor 20*g**2 + 390*g + 4*g**3 + 4*g**3 + 4*g**3 - 612*g**2 - 194*g.
4*g*(g - 49)*(3*g - 1)
Let k be 9/(-2)*224/1008 - -7. Factor 0 - 3/2*m**2 + k*m.
-3*m*(m - 4)/2
Let q(l) be the first derivative of l**6/240 - 13*l**5/20 + 169*l**4/4 - 4394*l**3/3 - 21*l**2 - 74. Let i(t) be the second derivative of q(t). Factor i(k).
(k - 26)**3/2
Let x = -818 - -1432. Let k = x + -2453/4. Determine h so that 0 + 9/2*h**2 - k*h - 27/4*h**3 = 0.
0, 1/3
Let i(m) be the third derivative of m**6/1260 + m**5/21 + 19*m**4/84 + 34*m**3/3 + 13*m**2. Let d(y) be the first derivative of i(y). Let d(b) = 0. Calculate b.
-19, -1
Let g = 62 + -58. Let c be (g/8 - 2/4) + 3. Factor 5*o**3 - 3*o**3 - c*o - 3*o**5 + 4*o**3 + 0*o.
-3*o*(o - 1)**2*(o + 1)**2
Let k = 2998/6409 + -132/377. Let -162/17*c - 162/17 + 36/17*c**2 + 36/17*c**3 - 2/17*c**5 - k*c**4 = 0. Calculate c.
-3, -1, 3
Let b(c) be the second derivative of c**4/4 + 108*c**3 + 645*c**2/2 + 1034*c. Factor b(y).
3*(y + 1)*(y + 215)
Let 4425*c + 7*c**4 - 27*c**3 - 4425*c - 12*c**2 - 22*c**4 = 0. What is c?
-1, -4/5, 0
Let j(b) be the third derivative of -5*b**8/336 - 31*b**7/42 - 40*b**6/3 - 275*b**5/3 - 404*b**2 - 4. What is f in j(f) = 0?
-11, -10, 0
Let y(a) be the first derivative of -13*a**4/8 - 35*a**3/3 - 25*a**2/4 - 1544. Suppose y(n) = 0. What is n?
-5, -5/13, 0
Let w(o) be the third derivative of o**6/360 - o**5/45 - 4*o**4/9 - 52*o**2 - 4. Solve w(r) = 0.
-4, 0, 8
Factor -17*r**2 - 374 - 20*r**2 - 16*r**2 - 212*r - 34 + 49*r**2.
-4*(r + 2)*(r + 51)
Solve 161*l**3 - 851*l - 567*l**2 - 186 + 60*l**3 - l**4 - 416*l**3 - 2*l**4 + 290*l = 0.
-62, -1
Let c(v) be the third derivative of 0*v**3 + 0*v - 2/315*v**7 + 7*v**2 + 0*v**5 + 0*v**4 + 1/1008*v**8 + 4 + 1/120*v**6. Solve c(i) = 0 for i.
0, 1, 3
Let q be (93258/(-1890) - -49)/((6/15)/(105/(-25))). Let -2/5*y**5 - 8/5*y**2 + 0*y**4 - 24/5*y + 0 + q*y**3 = 0. What is y?
-3, -1, 0, 2
Let s = 189772/153 - 21082/17. Factor 4/3*r**2 + s*r**3 + 10/9*r + 0.
2*r*(r + 1)*(r + 5)/9
Solve 21 - 1/4*d**4 + 26*d - 7/2*d**3 + 7/4*d**2 = 0.
-14, -2, -1, 3
Let v be (-28)/12*36/210*-5. Let h(y) be the second derivative of 4*y + 8/33*y**4 - 6/55*y**5 + 1/231*y**7 + 0*y**3 + 0*y**v + 0*y**6 + 0. Factor h(t).
2*t**2*(t - 2)**2*(t + 4)/11
Let g(j) be the first derivative of -j**6/8 - 63*j**5/2 - 5805*j**4/2 - 112860*j**3 - 1470150*j**2 - 7762392*j - 4061. Determine u, given that g(u) = 0.
-66, -6
Let j(d) be the third derivative of 11/210*d**5 + 1/420*d**6 + 0 - 35*d**2 + 0*d + 19/84*d**4 + 3/7*d**3. Factor j(b).
2*(b + 1)**2*(b + 9)/7
Suppose 3*v - 2*v + 303 = 0. Let g = v - -728. Factor -20*a + 455*a**2 - 3*a**4 - 25 - 2*a**4 - g*a**2 + 20*a**3 + 0*a**4.
-5*(a - 5)*(a - 1)*(a + 1)**2
Let p be 1*(-22 + (-5830)/(-264)). Let u(b) be the second derivative of p*b**4 - 1 + 22*b - b**3 + 4*b**2. Determine f so that u(f) = 0.
2, 4
Let f = 4013 - 4008. Let h(m) be the third derivative of -9/4*m**3 + 0*m + 0 + 3/8*m**4 - 14*m**2 - 1/40*m**f. Find q, given that h(q) = 0.
3
Let a(g) = -g**2 - 50*g + 7123. Let v be a(63). Factor 0*m**2 + 0*m + 3/2*m**v + 0*m**3 + 0 + 3/2*m**5.
3*m**4*(m + 1)/2
Suppose 444 = 4*k + 436. Let -10*q - 8*q + 3*q - 10*q + 5*q**k = 0. Calculate q.
0, 5
Let p(z) be the first derivative of 16/7*z + 4/7*z**2 - 20 + 1/21*z**3. Determine q so that p(q) = 0.
-4
What is h in 1245*h + 1298*h - 3*h**3 + 1038*h**2 - 435*h - 4188 - 903*h + 1948*h = 0?
-4, 1, 349
Let 473970 + 917313 + 4086*n + 38*n**2 - 64*n**2 + 29*n**2 = 0. Calculate n.
-681
Let o = -296 + -1750. Let h = o + 4093/2. Factor -2/5*a**4 - 2/5*a**3 + h*a + 1/5 + 1/5*a**2 - 1/10*a**5.
-(a - 1)*(a + 1)**3*(a + 2)/10
Let w(k) be the second derivative of 23*k**3/6 - 23*k**2/2 + 85*k - 1. Let x be w(1). Factor x + 0*v - 1/2*v**3 + v**2.
-v**2*(v - 2)/2
Let m be 2/(-9) - (-60496)/72. Let l = m - 838. Factor -53*x**3 + 145*x**l - 1/2*x**5 + 125/2 - 325/2*x + 17/2*x**4.
-(x - 5)**3*(x - 1)**2/2
Let m(y) be the second derivative of y**5/90 + 28*y**4/27 + 161*y**3/27 + 106*y**2/9 + 7263*y. Factor m(o).
2*(o + 1)*(o + 2)*(o + 53)/9
Let o be 2/((-1430)/52 + 29). Determine a so that -o*a**2 + 8/3*a**3 + 2 - 2/3*a**4 - 8/3*a = 0.
-1, 1, 3
Let p(r) = -2*r**4 - 10*r**3 + 19*r**2 + 6*r - 24. Let q(j) = -3*j**4 - 11*j**3 + 21*j**2 + 7*j - 26. Let z(g) = -4*p(g) + 3*q(g). Solve z(w) = 0.
-1, 2, 3
Suppose c - 3*w + 7 = -6, -61 = 4*c - 3*w. Let l = -12 - c. Factor -119*g**3 - 354*g - 13122 + 47*g**3 + 608*g**2 - 2*g**l - 1580*g**2 - 5478*g.
-2*(g + 9)**4
Let n = -3380 + 3384. Let z(q) be the second derivative of -8/5*q**2 + 56/15*q**3 + 0 - 27*q - 49/15*q**n. Factor z(i).
-4*(7*i - 2)**2/5
Let i(a) = 3 + 26 - a - 2. Let q be i(25). Factor -1709*u - 4*u**q + 4*u**4 + 1709*u.
4*u**2*(u - 1)*(u + 1)
Suppose -362*y**3 - 420*y**3 + 1087*y**3 + 288*y - 148*y**2 + 2*y**4 - 447*y**3 = 0. What is y?
-2, 0, 1, 72
Let u(r) = -189*r + 18. Let y be u(-4). Let b = -772 + y. Factor 75/2*x**b + 125/4*x**3 + 15*x + 2.
(5*x + 2)**3/4
Let m(a) be the second derivative of -5*a**4/12 + 535*a**3/6 + 1921*a. Find n, given that m(n) = 0.
0, 107
Suppose -2122*y - 3*y**3 - 2089*y - 15*y**2 - 2130*y + 96 + 6425*y = 0. Calculate y.
-8, -1, 4
Let x = 162 - 164. Let o be (x/(-10))/(0 - (-5)/45). Factor -3/5*h - h**2 - 1/5*h**3 + o.
-(h - 1)*(h + 3)**2/5
Let z(u) = -3*u**2 + 8*u + 7. Let t(l) = -61*l - 46*l**2 + 190*l + 111 - 2*l**2. Let y(i) = 2*t(i) - 33*z(i). Determine x so that y(x) = 0.
-1, 3
Let z be 1365/1638 + 68/(-8) + 8. Factor z*a**5 + 29/3*a**4 - 131/3*a + 194/3*a**2 - 42*a**3 + 11.
(a - 1)**4*(a + 33)/3
Suppose -12 - 1029 + 105 = -468*k. Factor k*y**3 - 34