in 1521/4*g**4 - 624*g**3 - r*g + 334*g**2 + 4 = 0?
2/13, 2/3
Let s = -5128753/15 - -341917. Factor -s*x**2 - 8/3*x - 38/15.
-2*(x + 1)*(x + 19)/15
Suppose 3*i = 46*i. Let h(c) be the third derivative of -5/2*c**3 - 6*c**2 + i + 1/6*c**5 + 0*c - 25/24*c**4. Factor h(o).
5*(o - 3)*(2*o + 1)
Let o = 195 + -190. Solve 0*x**3 - 5*x**5 - 6*x**2 + 12*x**2 - 15*x**3 - o*x**2 - 6*x**2 - 15*x**4 = 0 for x.
-1, 0
Let w(y) be the second derivative of 2*y**7/105 - y**6/10 - 4*y**5/15 + 35*y**2/2 + 109*y. Let h(j) be the first derivative of w(j). Solve h(v) = 0.
-1, 0, 4
Let j be (-7)/(98/(-4)) - 128/7. Let z be (-26)/(-12) + (-6)/36 - j. Factor -319*g - 5*g**4 - 25*g**3 - z*g**2 + 319*g.
-5*g**2*(g + 1)*(g + 4)
Let i(t) be the first derivative of t**3/6 + 5*t**2 + 99*t/2 + 1064. Factor i(s).
(s + 9)*(s + 11)/2
Let y(f) be the first derivative of 8/33*f**3 + 2/11*f - 2/33*f**6 - 1/11*f**4 - 2/11*f**5 - 47 + 4/11*f**2. Solve y(w) = 0.
-1, -1/2, 1
Let m(t) = -5*t**3 + 615*t**2 + 788*t + 213. Let l(w) = 80*w**3 - 7995*w**2 - 10245*w - 2770. Let v(g) = 3*l(g) + 40*m(g). Let v(b) = 0. Calculate b.
-14, -1, -3/8
Let d(p) be the third derivative of -p**6/540 + 859*p**5/90 - 737881*p**4/36 + 633839779*p**3/27 - p**2 + 241. Factor d(i).
-2*(i - 859)**3/9
Let p = 5231 + -5181. Let m(r) be the second derivative of -106/3*r**4 - 26/15*r**6 - 58/5*r**5 + 8*r + 0 - 170/3*r**3 - 2/21*r**7 - p*r**2. Factor m(c).
-4*(c + 1)**3*(c + 5)**2
Factor -167026*c**2 - 2*c**4 - 8523*c**2 - 27556 - 1784*c**3 - 2386*c**3 - 23*c**4 - 138444*c.
-(c + 83)**2*(5*c + 2)**2
Let h be (-5)/4*(-24)/105. Let n(u) = -3*u - 37. Let b be n(-13). Factor -1/7*c**b + 1/7*c + h.
-(c - 2)*(c + 1)/7
Let j(c) be the second derivative of -c**7/8820 + c**6/126 - 5*c**5/21 - 17*c**4/4 - 79*c. Let a(w) be the third derivative of j(w). Factor a(z).
-2*(z - 10)**2/7
Let b = -121505 + 607527/5. Let s = 14 - 10. Solve -b + 1/5*x - 1/5*x**3 - 1/5*x**s + 3/5*x**2 = 0 for x.
-2, -1, 1
Let m be ((-1524)/8890)/(3/(-21)). Factor 6/5 + m*x**2 - 11/5*x - 1/5*x**3.
-(x - 3)*(x - 2)*(x - 1)/5
Let c(t) = 21*t**3 + 73*t**2 + 1365*t + 7051. Let j(s) = 25*s**3 + 73*s**2 + 1374*s + 7050. Let n(r) = -6*c(r) + 5*j(r). Factor n(k).
-(k + 12)**2*(k + 49)
Let j(o) be the third derivative of 0 + 1/70*o**7 + 0*o - 145*o**2 + 1/8*o**4 - 1/40*o**6 + 0*o**3 - 1/20*o**5. Factor j(p).
3*p*(p - 1)**2*(p + 1)
Let f be -6 - (-18 + 6) - 4. Let 19*c**4 + 5*c**5 + 27*c**3 + 33*c**2 - f*c**5 - 52*c**4 - 30*c = 0. Calculate c.
-1, 0, 1, 10
Let w(m) be the third derivative of m**6/210 - 26*m**5/105 - 39*m**4/14 - 60*m**3/7 - m**2 + 381*m. Suppose w(i) = 0. What is i?
-3, -1, 30
Factor 22/3*l**2 - 64 + 2/3*l**3 - 172/3*l.
2*(l - 6)*(l + 1)*(l + 16)/3
Let v(d) = 14*d - 354. Let y be v(22). Let q be 48 + y + (1 - 1). Factor 28/9*x + 16/9 + 14/9*x**q + 2/9*x**3.
2*(x + 1)*(x + 2)*(x + 4)/9
Let b(o) be the first derivative of -10*o**2 - 10 + 16*o - o**4 - 16*o + 8*o**3. Determine n, given that b(n) = 0.
0, 1, 5
Let -318/7 + 2/7*s**2 - 316/7*s = 0. What is s?
-1, 159
Let p(t) be the third derivative of -55*t**2 - 5/2*t**4 - 55/6*t**3 - 1 + 0*t - 1/12*t**5. Solve p(a) = 0 for a.
-11, -1
Factor 12*d - 4/3*d**2 - 56/3.
-4*(d - 7)*(d - 2)/3
Let t = -390549 - -64440377/165. Let b = 4/55 - t. Determine x so that b - 14/3*x - 6*x**2 = 0.
-1, 2/9
Let c(p) = -10*p**2 - 40*p + 35. Let f(v) = 7*v**2 + 38*v - 36. Let z(l) = -4*c(l) - 5*f(l). Factor z(h).
5*(h - 4)*(h - 2)
Let m(y) be the third derivative of -2/15*y**3 + 0 + 1/525*y**7 + 1/150*y**5 + 0*y - 1/20*y**4 - 14*y**2 + 1/100*y**6. Factor m(u).
2*(u - 1)*(u + 1)**2*(u + 2)/5
Determine p so that -5220/11*p + 8122/11*p**3 + 98/11*p**5 - 1778/11*p**4 - 1296/11 + 74/11*p**2 = 0.
-4/7, -2/7, 1, 9
Let x(u) = -2*u**3 + 308*u**2 + 29*u - 4460. Let t be x(154). Factor 1/2*h**3 + 0 + t*h + 4*h**2.
h*(h + 2)*(h + 6)/2
Let d = 194312 - 2137418/11. Let b = 2 - -1. Determine z so that -18/11*z**2 + 0 + 49/11*z**b - d*z**5 - 8/11*z + 45/11*z**4 = 0.
-1, -2/7, 0, 1/2, 4
Suppose 104*i - 92 - 4 = 111 + 1. Determine j so that -1/4*j**5 + 0 - 9/4*j**4 + 7/2*j - 13/4*j**3 + 9/4*j**i = 0.
-7, -2, -1, 0, 1
Let t(z) be the first derivative of -1/24*z**6 + 1/16*z**4 + 1/12*z**3 + 0*z**2 + 0*z + 17 - 1/20*z**5. Determine o, given that t(o) = 0.
-1, 0, 1
Let p be (6505/(-2602))/(-10*(-11)/(-24)). Factor 0*h + 0 - 8/11*h**3 - 2/11*h**4 - p*h**2.
-2*h**2*(h + 1)*(h + 3)/11
Let m(z) be the first derivative of z**4/2 + 20*z**3/3 - 68*z**2 - 336*z + 1456. What is p in m(p) = 0?
-14, -2, 6
Let q(w) = -w**2 - w + 224. Let h be q(0). Let f be (24/h)/(-3)*-16. Factor 6/7*v - 2/7*v**3 + 0*v**2 - f.
-2*(v - 1)**2*(v + 2)/7
Suppose o = 5*o - 340. Factor -5*q**3 + 12*q + 60*q**2 + 50 - o*q - 48*q + 16*q.
-5*(q - 10)*(q - 1)**2
Let v(h) be the second derivative of h**4/9 + 10*h**3/3 - 1055*h. Factor v(g).
4*g*(g + 15)/3
Let d(g) = 4*g**3 + 20*g**2 - 10*g - 26. Let y be 204*1*(-2)/4. Let z = y - -108. Let h(w) = w**3 + w**2 + w + 1. Let a(j) = z*h(j) - d(j). Factor a(q).
2*(q - 4)**2*(q + 1)
Let x(h) = h**3 - 5*h**2 + 29. Let i be x(5). Solve -298*j - 123*j - i*j - 5*j**2 - 10125 = 0 for j.
-45
Suppose -3*g + 5145 = 2*g. Factor 1470*l + 12*l**4 + 6*l**3 + g + 60*l**3 + 504*l**2 - 9*l**4.
3*(l + 1)*(l + 7)**3
Let i(q) be the third derivative of q**6/24 + q**5/3 - 355*q**4/24 + 55*q**3 + 150*q**2 + 2*q - 8. Factor i(y).
5*(y - 6)*(y - 1)*(y + 11)
Let a(g) be the second derivative of g**9/75600 - g**7/1400 - g**6/900 + g**5/50 + 17*g**4/3 - 2*g - 65. Let z(k) be the third derivative of a(k). Factor z(t).
(t - 3)*(t - 1)*(t + 2)**2/5
Factor -2625/2*k + 18375/2 - 195/2*k**2 - 3/2*k**3.
-3*(k - 5)*(k + 35)**2/2
Find u such that -2025/2*u**2 - 2 - 90*u = 0.
-2/45
Factor 0 + 60/7*i**3 + 1000/7*i - 2/7*i**4 - 450/7*i**2.
-2*i*(i - 20)*(i - 5)**2/7
Let m be 2250/(-135)*(1 + 46/(-10)). Determine z so that 96*z - 81*z**2 - m*z**2 - 280 + 13*z**2 + 134 + 128 = 0.
3/8
Let j(t) be the second derivative of 31/20*t**5 - 11/6*t**4 + 0 + 1/2*t**3 - 8/21*t**7 + 0*t**2 + 4/3*t**6 + 16*t. Suppose j(v) = 0. Calculate v.
-1, 0, 1/4, 3
Let j(m) be the second derivative of m**4/4 + 55*m**3 + 15*m - 6. Factor j(i).
3*i*(i + 110)
Let s = -100463 - -100465. Factor 2/3*y**s + 2 + 8/3*y.
2*(y + 1)*(y + 3)/3
Let z be (45/(-60))/((-3)/19212). Let t = z - 91225/19. Factor t*h**2 - 16/19*h + 2/19.
2*(4*h - 1)**2/19
Let l = 12 - 8. Suppose 3*q - 25 + 1 = -3*j, 3*j = -l*q + 29. Let 5*i - 10 - 6*i**3 + 5*i**3 + i**3 - 5*i**j + 10*i**2 = 0. Calculate i.
-1, 1, 2
Let r(c) = 2*c - 3. Let q be r(3). Let a be (-66)/21 + 4 - (-23 - (-19380)/1050). Determine o so that -3/5*o**5 + 0 - 21/5*o**2 - a*o**3 - 6/5*o - q*o**4 = 0.
-2, -1, 0
Let s(m) = -26*m + 284. Let h be s(11). Let b be (8/(-7))/(h + (-24)/(-14)). Let 0 + 3/4*g**2 - 3/4*g**3 - 1/4*g + 1/4*g**b = 0. Calculate g.
0, 1
Let t = 3 - 1. Let s(a) = 11*a**2 - 56*a + 48. Let h be s(4). Suppose 0*x + h + 3/5*x**t = 0. What is x?
0
Let m be (-313292)/(-315) - (-12)/54. Let u = -994 + m. Determine f so that 2/5*f**5 - u*f**3 - 2/5*f**4 + 2/5*f - 2/5 + 4/5*f**2 = 0.
-1, 1
Factor -46*l + 1169*l + 1010*l + 815*l - 2946 - 5*l**2 + 3*l**2.
-2*(l - 1473)*(l - 1)
Let m(j) = 746*j - 82804. Let z be m(111). Solve -12/5 - 4/5*n + 1/5*n**z = 0 for n.
-2, 6
Let z be (-30)/(-135) + 10/765. Let m = 6/119 + z. Solve 0*r + 0*r**3 - 2/7 + 4/7*r**2 - m*r**4 = 0.
-1, 1
Let f(a) be the first derivative of 12/25*a**5 + 0*a + 1/10*a**6 - 9/20*a**4 - 27 - 14/5*a**3 - 12/5*a**2. What is u in f(u) = 0?
-4, -1, 0, 2
Let i(s) be the third derivative of s**9/181440 - s**8/15120 + 19*s**5/15 - 5*s**2 - 9. Let j(f) be the third derivative of i(f). Factor j(g).
g**2*(g - 4)/3
Let i(z) = z**3 + 111*z**2 - 217*z + 1019. Let f be i(-113). Solve -7/2 - 1/4*s**f - 9/4*s = 0 for s.
-7, -2
Let z(r) = r**2 + 41*r + 330. Let c be z(-30). Let f(b) be the third derivative of 7/30*b**5 - 5/12*b**4 + 0*b - 7*b**2 + c - 2/3*b**3. Solve f(q) = 0.
-2/7, 1
Solve 75/8*q**2 - 189/2 - 27*q - 3/8*q**3 = 0 for q.
-2, 6, 21
Factor -284 + 290/3*n - 2/3*n**2.
-2*(n - 142)*(n - 3)/3
Suppose -13*a - 1339 - 1338 - 1342 + 4015 - 3*a**2 = 0. Calculate a.
-4, -1/3
Let w = -783344 - -783353. Factor 3/2*b**2 + 3/2*b - w.
3*(b - 2)*(b + 3)/2
Factor -22 + 0 + 2261*b + 2*b**2 - 2241*b.
2*(b - 1)*(b + 11)