 -917993/13. Let 2/13*l**4 + 16/13*l**3 - 16/13*l**2 + 32/13 - g*l**5 - 32/13*l = 0. Calculate l.
-2, 1, 2
Let q(j) be the second derivative of 5*j**4/12 - 2660*j**3 + 6368040*j**2 - 6180*j. Factor q(h).
5*(h - 1596)**2
Let n(p) = 13*p**3 - 8*p**2 - 508*p + 12. Let k(x) = 11*x**3 - 6*x**2 - 506*x + 9. Let m(q) = -4*k(q) + 3*n(q). What is o in m(o) = 0?
-10, 0, 10
Let r = 7395/4982 + 39/2491. Factor 0 - 1/2*u**5 + 0*u**2 - r*u**4 - u**3 + 0*u.
-u**3*(u + 1)*(u + 2)/2
Let j = 275 - 272. Let -3*o**5 - 417*o**2 - 86*o**3 - 47*o - 361*o - 144 - 103*o**j - 39*o**4 = 0. Calculate o.
-4, -3, -1
Let i(d) be the first derivative of d**5/80 - 3*d**4/16 - 7*d**3/8 - d**2 - 2*d - 32. Let f(b) be the second derivative of i(b). Suppose f(z) = 0. Calculate z.
-1, 7
Let p(h) be the third derivative of h**5/80 - 27*h**4/32 + 63*h**3/4 + 2*h**2 + 1. Determine g so that p(g) = 0.
6, 21
Let l(f) be the second derivative of 2*f + 0*f**2 + 2/3*f**3 - 52 + 1/3*f**4. Solve l(w) = 0 for w.
-1, 0
Let f(a) = 2*a**2 - 44*a - 91. Let k be f(24). Determine m, given that k - 36*m + 16*m**2 + 22 + 168*m + 5 = 0.
-8, -1/4
Suppose h + 5 = 2*v, 0*v = -2*v + 3*h + 3. Find d, given that 2*d - 59*d**2 + 5*d**v + 49*d**2 + 40*d**2 - 82*d = 0.
-8, 0, 2
Let z(y) be the third derivative of -y**7/210 + 3*y**6/20 - 7*y**5/15 - 3*y**4 + 64*y**3/3 - 42*y**2 - y. What is o in z(o) = 0?
-2, 2, 16
Let d(s) be the third derivative of -s**7/1260 - 47*s**6/720 - s**5/8 + 47*s**4/144 + 23*s**3/18 - 8*s**2 + 5*s - 48. Factor d(y).
-(y - 1)*(y + 1)**2*(y + 46)/6
Let d(m) be the second derivative of -m**6/210 + 9*m**5/20 - 475*m**4/28 + 13357*m**3/42 - 20577*m**2/7 + 179*m. Factor d(t).
-(t - 19)**3*(t - 6)/7
Factor 39314 + 34*j**2 - 11*j**2 - 14*j**2 - 362*j - 6553 - 8*j**2.
(j - 181)**2
Let k(w) = -20*w + 4. Let b = -52 + 52. Let f be k(b). Factor 1/2*t**f - 7/2*t**3 - 17/2*t + 3 + 17/2*t**2.
(t - 3)*(t - 2)*(t - 1)**2/2
Let f be 146/(-20) + 42 + -35 + 370/900. Let b(i) be the first derivative of -34 + 1/9*i**3 + 0*i - 1/18*i**4 + f*i**2 - 1/15*i**5. Find g, given that b(g) = 0.
-1, -2/3, 0, 1
Let i(k) = 8*k**2 - 198*k - 298. Let w(o) = -36*o - o**2 + 23 + 10 + 58*o. Let q(g) = -6*i(g) - 52*w(g). Factor q(b).
4*(b + 2)*(b + 9)
Solve 2/3 + 456968/3*b**2 + 1912/3*b = 0.
-1/478
Let a(s) be the second derivative of s**7/105 - s**6/30 - 7*s**5/30 - s**4/3 + s**2 - 2*s + 19. Let o(x) be the first derivative of a(x). Factor o(d).
2*d*(d - 4)*(d + 1)**2
Let u(o) be the third derivative of -o**11/83160 + o**10/18900 + o**9/5040 + 47*o**5/60 + 17*o**2. Let d(s) be the third derivative of u(s). Factor d(f).
-4*f**3*(f - 3)*(f + 1)
Let -7/3 - 5/3*h**2 - 1/3*h**3 + 13/3*h = 0. What is h?
-7, 1
Let c(q) be the first derivative of 3*q**5/20 - 1995*q**4/2 + 4717953*q**3/2 - 2093590314*q**2 + 16720430751*q/4 + 1887. Factor c(u).
3*(u - 1773)**3*(u - 1)/4
Find k such that -592/7*k - 880/7*k**2 + 0 + 12/7*k**3 + 296/7*k**4 - 4/7*k**5 = 0.
-1, 0, 2, 74
Let 20123498 + 1037834 + 28796747 + 12432546 + 680625*p + 2475*p**2 + 3*p**3 = 0. Calculate p.
-275
Let r(i) be the first derivative of 3*i**5/5 + 6*i**4 - 123*i**3 + 195*i**2 + 2400*i + 5396. Factor r(o).
3*(o - 5)**2*(o + 2)*(o + 16)
Let v(s) be the third derivative of -s**6/60 - 11*s**5/5 + 658*s**2. Determine f, given that v(f) = 0.
-66, 0
Factor 6890*h - 5*h**2 - 1128817 - 379501 - 865287.
-5*(h - 689)**2
Let d(m) = m**3 + 4*m**2 - m. Let p be d(-4). Suppose 4*k**4 - 42*k - 29*k + 25*k**3 - 9*k**p - 45*k**2 - 10 + 106*k = 0. Calculate k.
1, 2
Solve 189*f + 10*f**3 - 120 - 5*f**3 + 165*f + 22*f**3 - 201*f**2 = 0.
4/9, 2, 5
Let z(w) be the first derivative of 5*w**3/3 + 185*w**2 - 262. Factor z(q).
5*q*(q + 74)
Let h(q) = 2*q**4 + 142*q**3 + 2590*q**2 + 2142*q - 4896. Let v(m) = -6*m**4 - 426*m**3 - 7769*m**2 - 6433*m + 14689. Let a(c) = -11*h(c) - 4*v(c). Factor a(w).
2*(w - 1)*(w + 2)*(w + 35)**2
Let x(v) = v**4 - 5*v**3 + v**2 + 15*v - 9. Let f(h) = h**4 - 5*h**3 + 4*h**2 + 16*h - 12. Let m(u) = -3*f(u) + 4*x(u). Factor m(w).
w*(w - 6)*(w - 1)*(w + 2)
Let k(t) = -2*t**2 + 8. Suppose -5*i - 2 + 23 = 2*q, -3*i + 12 = q. Let h(o) = -4*o**2 + 10 - 2*o**2 - q + 3*o**2. Let n(p) = 3*h(p) - 2*k(p). Factor n(d).
-5*(d - 1)*(d + 1)
Let w(l) be the third derivative of -l**5/40 - 11*l**4/16 + 45*l**3 + 76*l**2 - 10*l - 3. Find p, given that w(p) = 0.
-20, 9
Let f(b) be the first derivative of 2*b**5/15 - 5*b**4/3 + 2*b**3/9 + 28*b**2 - 72*b + 211. Suppose f(q) = 0. What is q?
-3, 2, 9
Factor -452*z + 7194*z**2 - 3601*z**2 - 3565*z**2 + 64.
4*(z - 16)*(7*z - 1)
Let a(m) be the first derivative of m**4/4 - 2*m**3 + 9*m**2/2 - 22*m - 65. Let t(o) be the first derivative of a(o). Factor t(s).
3*(s - 3)*(s - 1)
Let c(x) = -x + 33. Let g be c(31). Suppose 5*o = -20 + 35, -5*o + 7 = -g*j. Factor -4/5*u**3 - 3/5*u**2 - 1/5*u**j + 0 + 0*u.
-u**2*(u + 1)*(u + 3)/5
Let x(v) = -4*v**2 - 17*v - 1. Let m be x(-4). Factor 27*r - r**5 - 781*r**m + 763*r**3 - r**4 - 7*r**4.
-r*(r - 1)*(r + 3)**3
Let h(d) be the second derivative of -d**6/280 + 3*d**4/14 - 8*d**3/7 + 144*d**2 - 338*d. Let q(r) be the first derivative of h(r). What is p in q(p) = 0?
-4, 2
Let -6496*g**2 + 223/2*g**4 + 6159*g**3 + 0 - 12544*g + 1/2*g**5 = 0. Calculate g.
-112, -1, 0, 2
Suppose 4*v - 803 = -171. Let t = -154 + v. What is w in 0 + 0*w**2 - 4/7*w**5 + 0*w - 24/7*w**3 + 20/7*w**t = 0?
0, 2, 3
Let g(j) = 6*j**4 - 201*j**3 - 519*j**2 - 216*j + 3. Let c(u) = 6*u**4 - 203*u**3 - 519*u**2 - 218*u + 4. Let r(k) = -3*c(k) + 4*g(k). Factor r(m).
3*m*(m - 35)*(m + 2)*(2*m + 1)
Factor 885/2*h + 513 + 3/2*h**3 - 69*h**2.
3*(h - 38)*(h - 9)*(h + 1)/2
Let m = 6746/57 + -4618/57. Factor 3*j**2 + m*j**4 + 0 + 19*j**3 + 0*j + 64/3*j**5.
j**2*(j + 1)*(8*j + 3)**2/3
Let z = 4966 - 4961. Let p(h) be the third derivative of -5/6*h**3 + 18*h**2 - 1/15*h**z + 0 + 0*h - 7/8*h**4. Factor p(j).
-(j + 5)*(4*j + 1)
Let t be (-16)/128*-6*(-112)/(-63). Factor 0*j**4 + 0*j + 0 + 0*j**2 + t*j**5 + 0*j**3.
4*j**5/3
Let r = -2240 - -43586. Factor -r*c**3 - c + 41342*c**3 - c**4 + 5*c**2 + c.
-c**2*(c - 1)*(c + 5)
Let s(i) = -i**2 - 4*i - 1. Let o be s(-3). Find u such that 10 + 15*u - 353*u**o - 14 - 353*u**2 + 703*u**2 + 46 = 0.
-2, 7
Let w(i) be the third derivative of i**5/105 - 61*i**4/3 + 52094*i**3/3 - 55*i**2 + 11. Factor w(s).
4*(s - 427)**2/7
Let o(d) be the second derivative of d**7/42 + d**6/15 - 4*d**5/5 - d**4/6 + 5*d**3/2 + d - 634. Find v, given that o(v) = 0.
-5, -1, 0, 1, 3
Let p(k) be the third derivative of k**8/1680 + 12*k**7/175 + 139*k**6/300 + 103*k**5/75 + 91*k**4/40 + 34*k**3/15 - 1022*k**2 - 5*k. Factor p(d).
(d + 1)**4*(d + 68)/5
Suppose -4*f - 2*o = -7522, 2*f = 3*f + o - 1883. Factor 4*n**2 - n**2 - 3*n**4 + n**3 - 3*n**2 + 3*n**2 + f*n - 1879*n.
-n*(n - 1)*(n + 1)*(3*n - 1)
Let a(u) = -u**2 + u + 1. Suppose 39*d = 33*d - 6. Let w(x) = 3*x**2 + 14*x - 19. Let s(m) = d*w(m) - 2*a(m). Factor s(i).
-(i - 1)*(i + 17)
Let u(v) = -2*v**2 - 1616*v + 1620. Let c(h) = -2*h**2 - 1618*h + 1623. Let o(b) = 4*c(b) - 6*u(b). Factor o(y).
4*(y - 1)*(y + 807)
Find h, given that 84/5*h**4 - 48*h**2 + 66/5*h + 156/5 - 6/5*h**5 - 12*h**3 = 0.
-1, 1, 2, 13
Let h(d) be the third derivative of d**5/40 - 503*d**4/16 - 447*d**2. Solve h(p) = 0 for p.
0, 503
Factor -8511 + 804*k - 5885 + 900*k + 2456*k + 5*k**3 - 964 + 305*k**2.
5*(k - 3)*(k + 32)**2
Let q(y) be the second derivative of 481/30*y**3 + 0 - 47*y + 1/210*y**7 + 23/150*y**6 - 43/6*y**4 + 47/50*y**5 - 169/10*y**2. Solve q(x) = 0.
-13, 1
Let y(s) be the first derivative of -s**5/10 + s**4/8 + 3*s**3 - 4*s**2 - 16*s + 1168. Let y(u) = 0. What is u?
-4, -1, 2, 4
Let w(l) be the second derivative of 220*l**7/21 + 149*l**6/6 - 147*l**5/2 - 1355*l**4/12 + 970*l**3/3 - 150*l**2 + 2235*l. Determine u, given that w(u) = 0.
-2, -15/8, 2/11, 1
Suppose -3*k = -4*a + 41, -39*k = -43*k + 20. Let s be (-115)/(-10) + (-56)/a. Let 0*n**2 + 0 + 3/2*n**4 + 0*n + s*n**3 = 0. What is n?
-5, 0
Let y(c) = -3*c - 5. Suppose 4*x - 6*x + 14 = -4*i, -12 = -x + 3*i. Let j be y(x). Factor -16*n + 4 - 21*n**2 + 17*n + 7*n**j + 7*n + 2*n**3.
(n - 1)**2*(n + 2)*(7*n + 2)
Let z = -421 - -419. Let p be -2*(z/(16/(-31)) + -4). Factor 0 + 0*b + 1/4*b**3 - p*b**2.
b**2*(b - 1)/4
Factor 2800/3*n - 490000/3*n**2 - 