*n**5/25 + 19*n**4/10 - 22*n**3/3 - 363*n**2/5 - 8803. Factor k(r).
-2*r*(r - 11)**2*(r + 3)/5
Let l(o) = 4*o - 18. Let c be (1 - (-2 - 2))/1. Let a be l(c). Suppose -b**3 - b**4 + b**3 - 8 - 284*b**2 + 290*b**a - b**3 + 4*b = 0. Calculate b.
-2, 1, 2
Suppose -4*c + 18 = 165*n - 164*n, -15*c = 2*n - 50. Factor -24/13 + 2/13*q + 2/13*q**c.
2*(q - 3)*(q + 4)/13
Let l(b) be the third derivative of b**5/240 - 313*b**4/48 + 97969*b**3/24 - b**2 + 7748. Factor l(i).
(i - 313)**2/4
Let q = -173576/3 + 57875. Let 1/3*f**2 + q - 14/3*f = 0. Calculate f.
7
Let s(n) be the first derivative of -n**4/42 - 92*n**3/63 - 248*n**2/21 - 640*n/21 + 3100. Factor s(u).
-2*(u + 2)*(u + 4)*(u + 40)/21
Let w be (3690/(-861))/(3/(-2)). Let h be 4/26 + ((-3780)/637)/(-6). Suppose -w*a + h + 12/7*a**2 = 0. Calculate a.
2/3, 1
Let w(z) be the third derivative of z**7/84 + 17*z**6/24 + 161*z**5/24 - 245*z**4/12 - 9*z**2 + 108. Suppose w(u) = 0. What is u?
-28, -7, 0, 1
Let n = -64221 + 449548/7. Find d, given that 0 + 12/7*d - n*d**5 - 20/7*d**2 + 2/7*d**4 + d**3 = 0.
-3, 0, 1, 2
Let w(s) = 17*s**2 - 43*s + 212. Let h(i) = 19*i**2 - 44*i + 214. Let v(d) = 8*h(d) - 9*w(d). Let v(n) = 0. What is n?
7, 28
Let y(b) be the first derivative of 18*b**2 + 12*b - 9. Let s be y(4). Find v such that -3*v - s + 156 + 3*v**3 = 0.
-1, 0, 1
Suppose -5*v = 4*d + 19, -20 = d + 3*d + 4*v. Let n be (-104)/(-2) - d*(-4)/8. Suppose -n*a**3 - 4*a + 28*a**3 - a + 26*a**3 = 0. What is a?
-1, 0, 1
Factor 25*d**4 - 35*d**3 + d + 306*d**2 - 5*d**5 + 311*d**2 - 602*d**2 - d.
-5*d**2*(d - 3)*(d - 1)**2
Let c = -646 + 648. Let j be 207/3 + c - (20 + -14). Solve j*m**2 - 45/2*m**3 + 90*m + 20 - 35/2*m**4 = 0 for m.
-2, -1, -2/7, 2
Let p(r) be the second derivative of r**6/30 - 2*r**5 + 91*r**4/2 - 1352*r**3/3 + 2197*r**2/2 + 118*r - 4. Let p(n) = 0. What is n?
1, 13
Determine c, given that 143351 - 1347*c**2 - 1338*c - 71678 - 71664 = 0.
-1, 3/449
Let v(i) be the first derivative of 5*i**4/4 + 1610*i**3/3 + 1605*i**2/2 + 4442. Suppose v(m) = 0. What is m?
-321, -1, 0
Let a(f) = -195*f**2 + 19670*f + 9925. Let z(k) = -14*k**2 + 1405*k + 709. Let g(i) = -4*a(i) + 55*z(i). Determine j so that g(j) = 0.
-1/2, 141
Let p(g) = -g**2 - 14*g + 197. Let u be p(8). Factor -3*y**5 + 109*y + u*y**4 + 95*y**2 + 20*y - 66*y**3 + 91*y**2 + 33 + 180*y**3.
-3*(y - 11)*(y + 1)**4
Let s(q) be the second derivative of -q**6/540 + 56*q**2 + 110*q. Let t(f) be the first derivative of s(f). Factor t(m).
-2*m**3/9
Let f(v) be the first derivative of -v**4/72 - v**3/4 - 5*v**2/3 + 34*v + 142. Let i(l) be the first derivative of f(l). Factor i(q).
-(q + 4)*(q + 5)/6
Let n(l) = l**5 - l**3 - 4*l**2 - l - 2. Let c(i) = 5*i**5 - 256*i**4 - 1065*i**3 - 1620*i**2 - 1085*i - 274. Let r(a) = c(a) - n(a). Factor r(f).
4*(f - 68)*(f + 1)**4
Let t(x) be the first derivative of -x**6/18 + 4*x**5/5 + x**4/4 - 38*x**3/9 + 4*x**2 - 2400. Solve t(i) = 0 for i.
-2, 0, 1, 12
Let p(s) = -21*s**4 - 645*s**3 + 39*s**2 + 627*s + 18. Let l(d) = -d**4 - d**3 + 2*d**2 + 1. Let x(m) = -18*l(m) + p(m). Factor x(z).
-3*z*(z - 1)*(z + 1)*(z + 209)
Let y(u) = u**4 + 42*u**3 - 54*u**2 - 42*u + 49. Let x(d) = 5*d**4 + 295*d**3 - 380*d**2 - 295*d + 345. Let l(r) = 2*x(r) - 15*y(r). Solve l(a) = 0 for a.
-9, -1, 1
Let z(s) = -s**2 - s - 22. Let k be z(0). Let w be (8/(-20))/(2 + k/10). Factor 16*j - 13*j + 5*j**3 + 7*j**3 - 32*j**w + 13*j.
4*j*(j - 2)*(3*j - 2)
Let o be ((-1)/(-3))/(20/180). Suppose -121*h**3 + 10*h - 4 - 3*h + 120*h**o - 2*h**2 = 0. Calculate h.
-4, 1
Let l(j) be the second derivative of -243*j**5/5 - 494*j**4/3 - 518*j**3/3 - 16*j**2 - 41*j + 45. Determine c so that l(c) = 0.
-1, -8/243
Let a(s) be the third derivative of -s**7/105 - 19*s**6/60 - 33*s**5/10 - 27*s**4/4 - 173*s**2 - 2. What is r in a(r) = 0?
-9, -1, 0
Let a(f) = 542*f + 1084. Let d be a(-2). Suppose -16*r + 14*r = 0. Solve r*z**2 + 4/3*z**5 + 0 + 4/3*z**4 + 0*z + d*z**3 = 0 for z.
-1, 0
Suppose 0 = 28*n - 978 + 2434. Let c(v) = -v**3 - 52*v**2 + 5*v + 260. Let m be c(n). Determine f, given that 0 - 1/2*f**2 + m*f = 0.
0
Let z(w) = 4*w**3 + 20*w**2 + 343*w + 1868. Let d(q) = -15*q**3 - 77*q**2 - 1370*q - 7471. Let f(p) = -5*d(p) - 19*z(p). Find m such that f(m) = 0.
-9, 23
Let r(j) be the second derivative of j**5/5 + 5*j**4/2 - 2*j**2 + 62*j. Let v(m) = m**2 - 2. Let f(s) = r(s) - 2*v(s). Find x such that f(x) = 0.
-7, 0
Let d be ((-338)/(-34) - 8) + 87/1479. Factor 8/9*w - 2/9*w**4 + 2/9*w**d - 8/9*w**3 + 0.
-2*w*(w - 1)*(w + 1)*(w + 4)/9
Let u(g) = g**2 + g - 24. Let c be u(-6). Factor 6*t**2 - t**4 + 3051*t**3 - 8 + c*t - 3052*t**3 - 2*t.
-(t - 2)*(t - 1)*(t + 2)**2
Let t be 1/7 + 585/315. Let h(q) be the third derivative of 1/15*q**5 + 0 + 0*q**4 + 1/60*q**6 - 28*q**t + 0*q**3 + 0*q. Factor h(u).
2*u**2*(u + 2)
Factor 588*j**2 + 592*j**2 - 1777*j**2 + 220*j + 705 + 592*j**2.
-5*(j - 47)*(j + 3)
Suppose 5*q + 165 - 35 = 4*h, -q - 62 = -2*h. Let f be (-6)/4*-4*(-18)/(-12). Factor 5*p - h*p**3 + f*p**3 + 11*p**3 + 9*p**3 + 4*p**2.
-p*(p - 5)*(p + 1)
Let v(i) be the third derivative of 0 + 0*i**4 + 5*i - 6/5*i**3 + 1/75*i**5 - i**2. Factor v(h).
4*(h - 3)*(h + 3)/5
Let z(a) be the second derivative of 5 + 9/50*a**5 - 4/25*a**6 - 7*a + 14/5*a**4 + 36/5*a**2 + 67/10*a**3 - 1/70*a**7. Suppose z(y) = 0. What is y?
-8, -1, 3
Suppose 4*u = 3*o - 27, 32 = -4*u - 2*o + 6*o. Let r be (25/(-20) + 1)*2/u. Factor 32/3*n**2 + r + 8/3*n.
(8*n + 1)**2/6
Suppose -10 = 5*x, g + x = -3*x + 69. Let u be (1 + 3)/(14/g). Solve u*y**3 + 9*y**3 - 10*y**4 - 7*y**3 - 6*y**4 - 16*y**2 + 4*y**5 + 4*y = 0 for y.
0, 1
Suppose -2*l - 12817 = -12821. Let z(x) be the first derivative of 1/4*x**4 - 1/2*x - 1/10*x**5 + 22 + 1/3*x**3 - 1/4*x**l - 1/12*x**6. Factor z(h).
-(h - 1)**2*(h + 1)**3/2
Factor 210*q + 29833*q**4 + 204*q**3 + 29835*q**4 - 59665*q**4 - 417*q**2.
3*q*(q - 1)**2*(q + 70)
Suppose -64 - 472/5*y**2 + 172/5*y**3 - 6*y**4 + 2/5*y**5 + 624/5*y = 0. Calculate y.
2, 4, 5
Let w be 12/14*(12 - (-157)/(-16)). Let x(p) be the first derivative of w*p**4 + 0*p - 3/2*p**3 - 7/10*p**5 - 19 + 1/12*p**6 + 0*p**2. Solve x(o) = 0.
0, 1, 3
Let u(g) be the second derivative of 3*g + 0*g**3 - 9 - 1/270*g**6 - 1/90*g**5 + 0*g**2 - 1/108*g**4. Factor u(v).
-v**2*(v + 1)**2/9
Suppose -13 + 37/2*w - 1/2*w**3 - 5*w**2 = 0. What is w?
-13, 1, 2
Let k(t) be the second derivative of t**9/22680 + t**8/1800 + t**7/630 + 59*t**3/2 - 154*t. Let h(l) be the second derivative of k(l). Factor h(f).
2*f**3*(f + 2)*(f + 5)/15
Let -6*s - 2/5*s**5 + 32/5*s**3 + 4/5*s**4 - 76/5*s**2 + 72/5 = 0. Calculate s.
-4, -1, 1, 3
Factor -172/7 + 262/7*l + 2/7*l**3 - 92/7*l**2.
2*(l - 43)*(l - 2)*(l - 1)/7
Let z(v) be the second derivative of -1/63*v**7 - 30*v + 0*v**2 - 1/75*v**5 + 7/225*v**6 + 2 + 0*v**4 + 0*v**3. Factor z(x).
-2*x**3*(x - 1)*(5*x - 2)/15
Let q(z) be the third derivative of -z**8/1344 + z**4/4 + z**3/2 - z**2 + 37*z. Let o(g) be the second derivative of q(g). Factor o(p).
-5*p**3
Suppose -13*a = -0*a - 52. Suppose 54 = x + 4*x + a*i, 0 = -5*x - i + 51. Let x*m**3 + 6*m**2 + 3*m**4 - 8*m - 8 - 2*m**4 - 5*m**4 - 8*m = 0. Calculate m.
-1, -1/2, 2
Let p(v) = v - 1. Let i be p(4). Suppose 14 = 4*d - t - 0, 3*d - 19 = 5*t. Find u, given that -5*u**4 + 0*u**d + u**3 - 6*u**i = 0.
-1, 0
Let f(j) = -25*j**4 - 65*j**3 - 50*j**2 + 5. Let g(t) = t**5 - 22*t**4 - 65*t**3 - 50*t**2 + 4. Let n(l) = -4*f(l) + 5*g(l). Suppose n(z) = 0. What is z?
-2, -1, 0, 5
Let z(x) = -x**4 + x**3 + 2*x**2 - 4*x + 2. Let g(r) = 10*r**4 + 14*r**3 - 96*r**2 - 316*r + 388. Let w(a) = g(a) + 6*z(a). Factor w(d).
4*(d - 4)*(d - 1)*(d + 5)**2
Let y = -65 + 69. Factor -10*g**3 - 14*g - 7 - 24*g**2 - 11*g + 12*g - g**y - 9*g.
-(g + 1)**3*(g + 7)
Let h(f) be the first derivative of 18/5*f**5 - 15/4*f**4 - 7/6*f**6 + 0*f**2 + 0*f + 4/3*f**3 - 171. Factor h(a).
-a**2*(a - 1)**2*(7*a - 4)
Let k(o) be the third derivative of o**6/540 - 1121*o**5/270 - 6687*o**2. What is h in k(h) = 0?
0, 1121
Factor 9/2 + 7/4*c**3 - 13/4*c**2 - 3/4*c - 1/4*c**4.
-(c - 3)**2*(c - 2)*(c + 1)/4
Let v(f) be the first derivative of 88/9*f**3 + 6/5*f**5 + 5*f**4 - 116 + 0*f + 8*f**2 + 1/9*f**6. Solve v(n) = 0.
-3, -2, 0
Let z = 284 + -215. Solve z*i**2 - 2025 - 21*i**2 - 24*i**2 + 90*i 