 n, given that -384/11*n - 16*n**2 - l - 32/11*n**3 - 2/11*n**4 = 0.
-6, -2
Let u(w) be the first derivative of -5*w**4/2 + 295*w**3/3 + 570*w**2 + 495*w - 7258. Factor u(d).
-5*(d - 33)*(d + 3)*(2*d + 1)
Determine q so that 1/2*q**2 - 48*q + 279/2 = 0.
3, 93
Let c(x) be the first derivative of x**3/12 + 43*x**2/4 - 267*x/4 + 1697. Factor c(v).
(v - 3)*(v + 89)/4
Let o(f) be the third derivative of -f**10/151200 + f**8/5040 + 7*f**5/30 - 3*f**2 + 12*f. Let m(b) be the third derivative of o(b). Factor m(y).
-y**2*(y - 2)*(y + 2)
Suppose -4*x - j + 3060 = 0, 3*j + j = -3*x + 2295. Let w = x + -402. Find k, given that -8*k**2 + 4*k**2 - w - 66*k + k**2 = 0.
-11
Let k(g) = -g**3 - 12*g**2 + 43*g - 12. Let h be k(-15). Solve 2585*c**3 - 25*c - 2582*c**3 + 4*c + h*c**2 = 0.
-7, 0, 1
Let k = 22 + -8. Suppose k*t = 3*t + 132. Factor -t*o**3 + 7*o**3 + o + 4*o**3.
-o*(o - 1)*(o + 1)
Let g = 367656/697 - 21622/41. Factor 2178/17 + g*a**2 + 132/17*a.
2*(a + 33)**2/17
Let z(r) = 15*r**4 + 60*r**3 - 270*r**2 + 60*r - 10. Let v(b) = 14*b**4 + 57*b**3 - 272*b**2 + 60*b - 12. Let m(i) = 5*v(i) - 6*z(i). Factor m(p).
-5*p*(p - 2)*(p + 6)*(4*p - 1)
Let s(k) be the first derivative of -k**5/4 + 125*k**4/6 - 3125*k**3/6 - 103*k + 146. Let p(b) be the first derivative of s(b). Suppose p(c) = 0. What is c?
0, 25
Let 335*b**4 + 2*b**5 + 119670*b**2 + 26145*b**3 + 107*b**4 - 643*b**3 + 164592*b + 69984 = 0. Calculate b.
-108, -3, -1
Determine o so that 723/5*o**2 + 1/5*o**4 + 0 - 25*o**3 - 1071/5*o = 0.
0, 3, 119
Let c = -2/6659 - -33331/119862. Let r(u) be the third derivative of -20*u**2 - 4/3*u**3 + 0*u + 0 - c*u**4 - 1/45*u**5. Determine i, given that r(i) = 0.
-3, -2
Let j be (-1)/3 + 15/9*65. Let -3 - j*a - 162*a**2 - 11 - 69*a**2 + 2 = 0. What is a?
-2/7, -2/11
Let h be 3/(1/((-6)/(-9))). Suppose -10*i - 3*u = -13*i + 3, 3*i - 5 = 5*u. Suppose d**4 + 9*d**h - 1 - 3*d + 3 + i*d - 5*d**3 - 4*d = 0. What is d?
1, 2
Let 3*m + 119/8 + 1/8*m**2 = 0. What is m?
-17, -7
Let z be 8/(-3)*((-10 - -4) + 9). Let x be (45/90)/(2/(z/(-6))). Factor 4/3*q + 1 + x*q**2.
(q + 1)*(q + 3)/3
Suppose 0 = -4*z + 2*o - 172 + 218, -15 = o - 0. Let -7/3*w**5 - 42*w**2 + 4*w**z + 44/3*w + 53/3*w**3 + 8 = 0. Calculate w.
-3, -2/7, 1, 2
Let y(h) = 9*h**2 - 1565*h - 1042. Let k(t) = t + 2. Let c(x) = 4*k(x) - y(x). Factor c(n).
-3*(n - 175)*(3*n + 2)
What is s in 26588*s - 26968*s + s**2 - 6*s**2 = 0?
-76, 0
Let 18818 + 1166/9*x**2 + 56842/3*x + 2/9*x**3 = 0. What is x?
-291, -1
Let g(h) be the first derivative of -h**7/1260 + 31*h**6/1620 + 11*h**5/270 + 2*h**3/3 + 3*h**2/2 + 47. Let o(s) be the third derivative of g(s). Factor o(k).
-2*k*(k - 11)*(3*k + 2)/9
Let t = -3 - -12. Suppose 5*q = 1 + t. Solve 18*c - 3*c**2 - 6*c**2 - 11*c**q + 8*c**3 - 4*c**2 = 0.
0, 3/2
Let f(h) = 8*h**3 + 331*h**2 + 1200*h + 1112. Let y(m) = -5*m**3 - 220*m**2 - 800*m - 740. Let a(u) = 5*f(u) + 7*y(u). Let a(v) = 0. Calculate v.
-19, -2
Suppose 5*n = -4*t + 141, 5*n = 4*t + 6*n - 121. Solve t*h + 10*h + 73 - 31 - 3*h**2 = 0 for h.
-1, 14
Let z(u) = -2*u**3 + 30*u**2 - 19*u - 13. Let m be z(14). Solve -5808 - m*f + 250*f + 0*f**2 - 26*f**2 - f**2 + 655*f = 0.
44/3
Let a = 109 + -76. Suppose a*z**3 - 15*z**3 + 4*z - 16*z**2 - 22*z**3 + 16 = 0. Calculate z.
-4, -1, 1
Let s(a) = -a**2 + 318*a + 1293. Let x be s(-4). Suppose -17/5*q**4 + 0 + 33/5*q**3 + 2/5*q - 7*q**x + 17/5*q**2 = 0. Calculate q.
-1, -2/7, -1/5, 0, 1
Let y be (-26112)/(-97664) + (-8)/(-436). Factor -20/7 - 2*d - y*d**2.
-2*(d + 2)*(d + 5)/7
Let j(l) be the third derivative of -l**6/960 + 59*l**5/480 + 83*l**4/64 + 63*l**3/16 + 4*l**2 - 186. Factor j(g).
-(g - 63)*(g + 1)*(g + 3)/8
Factor -359*a**3 + 87*a**2 - 112 + 112 + 706*a**3 - 350*a**3.
-3*a**2*(a - 29)
Let f(g) = g**4 - 2011*g**3 - 504008*g**2 + 3*g - 21. Let a(k) = k**4 - 4021*k**3 - 1008016*k**2 + 5*k - 35. Let t(q) = 3*a(q) - 5*f(q). Factor t(s).
-2*s**2*(s + 502)**2
Let d(a) be the third derivative of 1/30*a**6 - 1/6*a**4 - 2/3*a**3 + 1/1344*a**8 + 1/30*a**5 - 12*a + 3*a**2 + 1/120*a**7 + 0. Factor d(h).
(h - 1)*(h + 2)**4/4
What is a in -54 + 12*a**2 - 2/3*a**4 + 0*a + 0*a**3 = 0?
-3, 3
Let s(k) = -k**3 - 221*k**2 - 357*k + 17741. Let o be s(-219). Factor 3/2*n**o - 21/2*n - 27.
3*(n - 9)*(n + 2)/2
Let b(f) be the second derivative of f**4/54 - 13*f**3/27 + 10*f**2/3 + 239*f - 4. Factor b(r).
2*(r - 10)*(r - 3)/9
Let p(u) = u - 1. Let i be p(6). Factor g**3 - 8*g**3 + 4*g - g**3 + 4*g**i.
4*g*(g - 1)**2*(g + 1)**2
Let q(z) be the third derivative of 2*z**2 - 4/35*z**7 - 6*z + 0 - 23/40*z**6 + 0*z**3 - 1/112*z**8 - 7/5*z**5 - 3/2*z**4. Determine o so that q(o) = 0.
-3, -2, -1, 0
Let n be 20 + 40/180*-84. Suppose -24*l - 68/3 - n*l**2 = 0. What is l?
-17, -1
Suppose 5*d - 3*q - 52 = 0, -377*q - 76 = -3*d - 372*q. Determine r, given that -2/7*r**4 - 4/7*r**3 + 0*r + 0*r**d + 0 = 0.
-2, 0
Let l(i) be the second derivative of i**5/90 - 20*i**4/27 + 139*i**3/9 - 42*i**2 - 4481*i. Determine a so that l(a) = 0.
1, 18, 21
Let s be 3864/15456 - (-6)/7*2/(-16). Factor 5/7*g + 10/7*g**2 + 10/7*g**3 + 1/7*g**5 + s + 5/7*g**4.
(g + 1)**5/7
Factor 2495378/15 + 10/3*y**2 + 4468/3*y.
2*(5*y + 1117)**2/15
Let k = -63 + 55. Let s(p) = -p**3 - 9*p**2 - 4*p + 35. Let c be s(k). What is b in 12*b - 11*b**4 + b**4 + 2*b**5 - 8 - 11*b**c + 14*b**2 + 7*b**4 = 0?
-2, -1, 1/2, 2
Let m(x) = 6*x**3 + 28*x**2 + 25*x + 1. Let t(f) = -9 - f + 83*f**3 - 85*f**3 + 8. Let y(k) = m(k) + t(k). Factor y(u).
4*u*(u + 1)*(u + 6)
Suppose 5*l + 170 = 4*z - 30, 74 = 2*z + 4*l. Find a, given that -25*a**4 + 192*a - 57*a + 185*a**2 + 10 + 10 + z*a**3 = 0.
-1, -1/5, 4
Let m = 42 - 39. Let l be (-3)/m + -1 + (43 - -1). Factor -15*p + 21*p**5 - 10 - l*p**5 + 20*p**3 + 16*p**5 + 10*p**2.
-5*(p - 2)*(p - 1)*(p + 1)**3
Factor 0 - 29568*p**2 + 2124*p**3 - 66*p**4 + 3/4*p**5 + 150528*p.
3*p*(p - 28)**2*(p - 16)**2/4
Suppose 94*k = 64*k. Let f(o) be the second derivative of 1/24*o**5 + 0*o**2 + k + 1/180*o**6 + 2*o + 1/12*o**3 + 7/72*o**4. Solve f(i) = 0 for i.
-3, -1, 0
Suppose 8 = -4*v - 2*n - 2*n, 3*v = -5*n - 6. Let a = v - -11. Let -6*f**2 + 6*f**2 - 3*f**5 - a*f**3 - 12*f**4 = 0. What is f?
-3, -1, 0
Let k be -14 - 24*(-30)/225*5. Factor 0 - 16/11*b**k + 14/11*b + 2/11*b**3.
2*b*(b - 7)*(b - 1)/11
Let c be (-37 - 29141/(-782))*17. Let -4/3*r - 2/3*r**4 - c*r**2 + 2/3 - 19/6*r**3 = 0. Calculate r.
-2, -1, 1/4
Suppose 15*c = -0*c + 15. Let l(m) = m**3. Let a(o) = -4*o**3 - 6*o**2 - 9*o - 4. Let v(w) = c*a(w) + 3*l(w). Determine i, given that v(i) = 0.
-4, -1
Let w(n) be the second derivative of -200*n**2 - 30*n + 19/3*n**4 - 160/3*n**3 + 0 - 1/5*n**5. Factor w(x).
-4*(x - 10)**2*(x + 1)
Suppose 0*r - 150 = -15*r. Let j be (r - 3) + 309/(-45). Determine u, given that 2/15 - j*u**3 - 2/15*u**2 + 2/15*u = 0.
-1, 1
Suppose -83*y - 1288 = -91*y. Factor -50*t + 5*t**3 + 93 + 55*t**2 + y - 14 + 250*t.
5*(t + 3)*(t + 4)**2
Let q be (-45)/(-162)*264/55. Find p, given that -2/3*p**3 - 2/3*p - q*p**2 + 0 = 0.
-1, 0
Let o be 27060/420*(3 + 0/1). Let u = -192 + o. Factor -4/7*x**4 + 0*x + 0 + u*x**3 - 2/7*x**2.
-x**2*(x - 2)*(4*x - 1)/7
Factor 2431/5*w + 1217*w**2 + 5*w**3 + 243/5.
(w + 243)*(5*w + 1)**2/5
Let h(u) be the second derivative of u**5/20 + u**4/6 + u**3/6 + 622*u**2 - 21*u. Let i be h(0). Determine r, given that 33*r**3 - 1244*r + i*r + 3*r**4 = 0.
-11, 0
Let p(l) be the second derivative of -l**7/42 - 7*l**6/15 - l**5/5 + 69*l**4/2 + 135*l**3/2 - 992*l. Let p(y) = 0. Calculate y.
-9, -1, 0, 5
Factor -334 - 570*p - 497 - 5*p**3 - 249 - 95*p**2.
-5*(p + 4)*(p + 6)*(p + 9)
Suppose -3*q = -217 - 122. Factor 265*l - q*l + 1444 + l**2 + 3*l**2.
4*(l + 19)**2
Let z(k) be the first derivative of k**4/3 + 4*k**3/3 + 2*k**2 + 50*k + 62. Let p(o) be the first derivative of z(o). Find u, given that p(u) = 0.
-1
Let -1/9*f**4 + 0 - 5/9*f**3 + 35/3*f + 29/9*f**2 = 0. Calculate f.
-7, -3, 0, 5
Let m(i) be the second derivative of -i**5/80 - 7*i**4/16 + 50*i**2 + 12239*i. Factor m(c).
-(c - 4)*(c + 5)*(c + 20)/4
Suppose 5*u - 22 = 3*j, -3*u + 2*j + 3 = -2*u. Suppose 2496 = u*a - 389. Suppose -a + 32*g + 304 + 303 + 2*g**2 = 0. What is g?
-15, -1
Let o be ((-334)/(-4175))/(8/1132) - 2/(-25). Factor 3/5*v**2 + 54/5 - o*v.
3*(v - 18)*(v - 1)/5
Let 