/7 - 1/7*s**2 + a*s = 0.
6
Let f(o) be the second derivative of 7*o**5/10 + 11*o**4/6 - 251*o**3/3 + 105*o**2 + 747*o. Factor f(r).
2*(r - 5)*(r + 7)*(7*r - 3)
Factor 261/8*y**4 + 2581875*y + 1102275/8*y**2 + 1/8*y**5 + 34171875/2 + 25299/8*y**3.
(y + 18)**2*(y + 75)**3/8
Let g = 1158746 + -8111214/7. Factor 15/7*m**2 + 8/7*m - 16/7 - g*m**3 + 1/7*m**4.
(m - 4)**2*(m - 1)*(m + 1)/7
Let z(c) be the first derivative of -c**4/4 - 7*c**3/3 + 14*c**2 + 160*c - 1617. Factor z(l).
-(l - 5)*(l + 4)*(l + 8)
Suppose 4*b = -3*u + 12, -2*b + 6 = 38*u - 36*u. Factor 3 + 17*w**3 - 31*w**2 - 44*w**2 + 4*w**3 - 4*w**3 + 22*w**b + 33*w.
3*(w - 1)**2*(13*w + 1)
Let l(w) be the second derivative of -w**7/1365 - w**6/78 - 17*w**5/390 - 2*w**4/39 - 43*w**2/2 - 46*w. Let m(z) be the first derivative of l(z). Factor m(i).
-2*i*(i + 1)**2*(i + 8)/13
Determine h so that -184/3*h**2 + 186 + 1/3*h**3 - 125*h = 0.
-3, 1, 186
Suppose -5*c + 4*c - 2 = c, -o = 4*c. Let n = -1 + 19. Determine a so that -54 + 31 + o*a**2 + n*a**5 + 23 - 14*a**3 = 0.
-1, 0, 1/3, 2/3
Let v(h) be the first derivative of -4*h**3/3 - 8*h**2 - 12*h + 2443. Let c(l) = l**2 + l. Let k be (-3)/2 + 1/(-2). Let d(m) = k*c(m) - v(m). Factor d(s).
2*(s + 1)*(s + 6)
Factor 235984/3*d**2 - 118336/3*d + 0 + 1375/3*d**3 + 2/3*d**4.
d*(d + 344)**2*(2*d - 1)/3
Let b(s) be the third derivative of 0*s - 1/175*s**7 - 24/25*s**5 + 67*s**2 - 16/5*s**4 + 0 - 3/25*s**6 + 0*s**3. Find f such that b(f) = 0.
-4, 0
Let x(q) = q**3 - 4*q**2 - 3*q - 6. Let m be x(5). Solve 10*w - 129*w**4 - 6*w**3 + 64*w**4 + 60*w**4 - m*w**3 - 15 + 20*w**2 = 0.
-3, -1, 1
Let j(i) be the first derivative of -i**3/3 + 127*i**2/2 - 372*i - 3656. Factor j(u).
-(u - 124)*(u - 3)
Let z(n) be the second derivative of n**7/12600 - 3*n**5/200 - 11*n**4/4 + 31*n - 1. Let b(g) be the third derivative of z(g). Factor b(w).
(w - 3)*(w + 3)/5
Let x be 464/(-406)*7/(-2). Let n(t) be the second derivative of -4*t + 0*t**2 + 0*t**x + 0 - 1/130*t**5 + 4/39*t**3. Determine y so that n(y) = 0.
-2, 0, 2
Let m(j) be the second derivative of -j**6/6 + 3*j**5/4 + 25*j**4/6 - 20*j**3 - 1548*j. Solve m(p) = 0 for p.
-3, 0, 2, 4
Let p(a) be the second derivative of 8*a + 13/21*a**3 - 12/7*a**2 + 2 - 1/42*a**4. Factor p(y).
-2*(y - 12)*(y - 1)/7
Suppose 0 = -d + 3, -f - 28*d = -31*d. Let j be f/((-189)/(-1194)) - 5. Factor 1221/7*q**2 - j*q**3 - 408/7*q + 36/7.
-3*(q - 3)*(11*q - 2)**2/7
Let p be 1*-3 - 24/20*-5. Suppose 3*q**3 + 14*q**2 - q**p - 83 + 30*q + 46 + 55 = 0. What is q?
-3, -1
Let q(x) = -2*x**2 + 470*x - 27572. Let g be q(122). Factor g - 3/4*f**3 + 1/4*f**4 - 1/4*f**2 + 3/4*f.
f*(f - 3)*(f - 1)*(f + 1)/4
Let c be 9/36 - 4/(-176)*-50467. Let t = c + 1162. Suppose -144/11*o + 0 + 6/11*o**4 + t*o**2 + 68/11*o**3 = 0. What is o?
-6, 0, 2/3
Suppose -3*w = -48 + 18. Suppose 2*h - w + 0 = 0. Factor -2*s**3 + 54*s**4 + 2*s**h - 3*s**3 - 50*s**4 + 7*s**3.
2*s**3*(s + 1)**2
Let 43/5*a - 1/5*a**2 + 1178/5 = 0. Calculate a.
-19, 62
Let c(u) be the first derivative of -74 + 10*u**4 + 5/6*u**6 - 45/2*u**2 + 0*u - 6*u**5 + 10*u**3. Factor c(v).
5*v*(v - 3)**2*(v - 1)*(v + 1)
Factor 347/6*l**2 - 37/6*l**3 - 1/6*l**4 + 45 - 193/2*l.
-(l - 6)*(l - 1)**2*(l + 45)/6
Suppose -4*s - 2*i + 8 = -6*i, -4*i + 4 = 0. Let z be ((1 - 1)/1)/s. Factor z*x + 35*x + 4 + 9 + 7 - 10*x**2.
-5*(x - 4)*(2*x + 1)
Let s(y) be the second derivative of y**5/4 + 55*y**4/3 + 1615*y**3/6 + 700*y**2 + 2223*y - 2. Suppose s(b) = 0. Calculate b.
-35, -8, -1
Let n(d) be the third derivative of 27*d**6/8 - d**5/12 - 135*d**4/8 + 5*d**3/6 - 3091*d**2. Factor n(q).
5*(q - 1)*(q + 1)*(81*q - 1)
Let a(s) = 7*s**2 + 130*s + 123. Let j(q) = -20*q**2 - 388*q - 368. Let n = -331 + 323. Let y(f) = n*a(f) - 3*j(f). Suppose y(z) = 0. Calculate z.
-30, -1
Suppose -3*a + 4*j = -20 - 0, 5*j = 5*a - 25. Let v be (-279)/62*2/(-6 + a). Find k, given that -7/2*k**3 - 1 + 3/2*k**4 + 3/2*k**2 + v*k = 0.
-2/3, 1
Let m = 72735/1022 - 342/511. Factor -9 - 24*v**3 - 132*v**2 + m*v.
-3*(v + 6)*(4*v - 1)**2/2
Let u(s) be the second derivative of -46*s + s**3 + 1 - 15/4*s**2 + 1/8*s**4. Determine o so that u(o) = 0.
-5, 1
Factor -4570*f**2 - 6*f + 2465*f**2 + 2319*f**2.
2*f*(107*f - 3)
Let n(m) = -m**2 - 376*m + 1277. Let h(a) = -a**2 - 369*a + 1276. Let l(b) = -18*h(b) + 16*n(b). Factor l(u).
2*(u - 4)*(u + 317)
Factor -490 - 7/3*l + 32/9*l**2 - 1/9*l**3.
-(l - 21)**2*(l + 10)/9
Let m(s) be the first derivative of s**4/72 - 11*s**3/36 - 121*s + 257. Let j(k) be the first derivative of m(k). Factor j(o).
o*(o - 11)/6
Let a(k) be the third derivative of -k**5/150 - 3*k**4/4 + 46*k**3/15 + 92*k**2. Factor a(x).
-2*(x - 1)*(x + 46)/5
Let o = 45 - 42. Let l(j) be the first derivative of -j + 11. Let t(v) = 2*v**2 - 6*v + 7. Let i(f) = o*l(f) + t(f). Let i(x) = 0. Calculate x.
1, 2
Let l(j) be the third derivative of -j**5/30 + 64*j**4 - 49152*j**3 - 561*j**2. Factor l(t).
-2*(t - 384)**2
Let j(g) = -9*g**2 - 30*g - 22. Let z be j(-10). Let d = z - -627. Find m, given that -5*m + 25/2 - 12*m**2 - 1/2*m**4 + d*m**3 = 0.
-1, 1, 5
Let z(k) = -4*k**3 + k**2 - 10 + 71*k**2 + 0*k**3 - 314*k. Let s(a) = -156*a - 166. Let j be s(-1). Let h(o) = -o + 1. Let x(m) = j*h(m) - z(m). Factor x(c).
4*c*(c - 9)**2
Suppose 7 = 3*h - 2. Let y be (12/45)/((-1280)/(-960)). Solve -1/5*i**h + 0*i**4 + y*i**5 + 0*i + 0*i**2 + 0 = 0 for i.
-1, 0, 1
Let n(q) be the first derivative of -q**4/30 + 14*q**3/45 + 2*q**2 + 481. Factor n(p).
-2*p*(p - 10)*(p + 3)/15
Let a(c) be the first derivative of 1/26*c**4 - 129 + 10/39*c**3 + 8/13*c**2 + 8/13*c. Factor a(p).
2*(p + 1)*(p + 2)**2/13
Let t(p) be the first derivative of 4*p**3/3 - 303*p**2 + 900*p + 11655. Let t(x) = 0. What is x?
3/2, 150
Let d(j) be the first derivative of j**5/6 + 67*j**4/12 + 26*j**3/3 + 27*j**2 - 55. Let k(x) be the second derivative of d(x). Let k(p) = 0. Calculate p.
-13, -2/5
Let p be ((-5)/(-8) + 1)*(-894)/(-1937). Solve 3/4 + 1/8*c**3 + p*c**2 + 11/8*c = 0 for c.
-3, -2, -1
Let x = -15915 + 127321/8. Let i(t) be the third derivative of -1/3*t**3 + 1/30*t**5 + 0*t + 0 - x*t**4 + 23*t**2. Suppose i(d) = 0. What is d?
-1/2, 2
Let m(v) = v**3 + 429*v**2 + 61341*v + 2924183. Let t(d) = -d - 4. Let c(a) = m(a) - 6*t(a). Factor c(y).
(y + 143)**3
Factor 984/13 - 496/13*b + 2/13*b**2.
2*(b - 246)*(b - 2)/13
Let n = 12/11 - 13/22. Let h be ((-9)/(1026/4) + (-45793)/(-72105))*10/12. Factor -h - 5/4*p - n*p**2.
-(p + 2)*(2*p + 1)/4
Let v(d) be the second derivative of -d**7/70 - 4*d**6/15 - 32*d**5/15 + d**4/12 - 56*d**3/3 - 61*d. Let g(r) be the third derivative of v(r). Factor g(c).
-4*(3*c + 8)**2
Let b = -12518 - -12520. Suppose -3*a + 3*r - r + 2 = 0, -3*a = -3*r - 3. Factor -2/9*s**4 - 2/3*s**3 + 10/9*s**b - 4/9*s + a + 2/9*s**5.
2*s*(s - 1)**3*(s + 2)/9
Suppose -5*c + 6 = -v + 1, 4*c + 17 = 5*v. Suppose 50 = v*w - 15. Factor -15*z**4 - 4*z**2 - z**3 + w*z**4 + 7*z**3.
-2*z**2*(z - 2)*(z - 1)
Let y = -312 - -282. Let j be 24/y - 24/(-5). Factor 0 + 0*t - 3/8*t**j + 0*t**3 + 3/8*t**2.
-3*t**2*(t - 1)*(t + 1)/8
Let a(h) be the third derivative of h**6/120 + 7*h**5/15 + 65*h**4/24 - 125*h**3/3 - 17*h**2. Suppose a(j) = 0. Calculate j.
-25, -5, 2
Determine g, given that -8 + 2*g**2 + 8/3*g - 2/3*g**3 = 0.
-2, 2, 3
Factor 27*b - 20*b + 8*b + 17*b + 28*b + 4*b**3 + 64*b**2.
4*b*(b + 1)*(b + 15)
Let -412232/5 - 2/5*h**2 - 1816/5*h = 0. Calculate h.
-454
What is b in -11 - 175*b**2 - 111*b**3 - 132*b - 29*b**4 - 10 - 15 - 3*b**5 + 6*b**3 = 0?
-3, -2, -1, -2/3
Let d(b) be the third derivative of -b**5/570 - 13*b**4/57 - 17*b**3/19 - 626*b**2. Factor d(g).
-2*(g + 1)*(g + 51)/19
Let x(q) be the second derivative of -q**5/30 - 7*q**4/9 - 49*q**3/9 - 490*q. Solve x(o) = 0 for o.
-7, 0
Let x be 197540/24402*7/5. Factor -2/3*n**2 - x*n + 0.
-2*n*(n + 17)/3
Let m(r) be the first derivative of 43*r**6/60 + 3*r**5/2 + r**4/6 - r**2/2 + 6*r - 153. Let z(h) be the second derivative of m(h). Factor z(q).
2*q*(q + 1)*(43*q + 2)
Suppose -5/3 + 8/3*r**3 + 5/3*r**2 - 8/3*r = 0. Calculate r.
-1, -5/8, 1
Let n(v) = -15*v**2 + 1682*v - 490. Let y(s) = -8*s**2 + 841*s - 250. Let g(a) = 4*n(a) - 7*y(a). Determine d, given that g(d) = 0.
1/4, 210
Let s(x) be the second derivative of -3/110*x**5 + 0*x**2 + 39*x + 0*x