8*w**2 - 5*w**3 - 9 - y*w**3.
4*(w - 1)**3*(w + 1)*(w + 4)
Suppose -2/11*x**5 + 0 - 14/11*x + 16/11*x**3 - 12/11*x**2 + 12/11*x**4 = 0. Calculate x.
-1, 0, 1, 7
Solve 1083/4 - 57/2*i + 3/4*i**2 = 0.
19
Let p(s) be the second derivative of -s**7/280 + s**6/120 + s**5/10 - s**4/2 - 31*s**3/6 - 14*s. Let v(l) be the second derivative of p(l). Factor v(i).
-3*(i - 2)*(i - 1)*(i + 2)
Determine v so that 18 + 3*v**4 - v**3 - 29*v**2 + 949*v + 937*v + 941*v - 2818*v = 0.
-3, -2/3, 1, 3
Factor 54*n - 285*n**2 + 282*n**2 - 900 + 158*n + 97*n.
-3*(n - 100)*(n - 3)
Let r(w) be the first derivative of 0*w - 20/3*w**3 + 8*w**2 + 52 + w**4. Factor r(y).
4*y*(y - 4)*(y - 1)
Let z(m) be the second derivative of -60*m - 1/20*m**4 + m**3 + 33/10*m**2 + 0. Factor z(u).
-3*(u - 11)*(u + 1)/5
Let n(s) be the first derivative of -2*s**3/3 + 3*s**2 + 20*s - 467. Suppose n(a) = 0. Calculate a.
-2, 5
Let w be 3*-1*(-2)/6. Let n = 251947 + -503893/2. Let -1/4*h**3 + 7/4*h + w + n*h**2 = 0. What is h?
-1, 4
Let p(o) be the second derivative of -o**4/42 - 10*o**3/21 - 9*o**2/7 - 225*o + 3. Factor p(q).
-2*(q + 1)*(q + 9)/7
Let r(s) = 2888*s - 199272. Let k be r(69). Factor 0*q + 1/2*q**3 + 21*q**2 + k.
q**2*(q + 42)/2
Let x = -73 + 81. Suppose -3*v = -6*v + 5*n + 29, 5*n = -4*v - x. Factor -1 + 8*r + 13*r**3 - 30*r**v - 6*r**2 - 25*r**4 - 23*r**3.
-(r + 1)**2*(5*r - 1)**2
Let i(p) be the first derivative of 20 + 1/60*p**5 - 1/12*p**4 + 1/9*p**3 + 0*p**2 + 7*p. Let j(t) be the first derivative of i(t). Find u such that j(u) = 0.
0, 1, 2
Suppose 0 = 9*t + 52 - 547. Suppose 0 = -4*k + t - 47. Solve -2*f**4 - 5*f**2 - 3*f**2 + 2*f**2 - 8*f**3 - 2*f**k = 0.
-2, 0
Let x(c) = -4*c - c + 6*c + 23. Let s be x(-19). Factor -16*t**2 - s + 10*t**2 + 4*t**2 + 6*t.
-2*(t - 2)*(t - 1)
Let k be 5100/(-680) - (-16)/2. Let r(d) be the first derivative of k*d**3 + 6*d + 9 - 15/4*d**2. Solve r(o) = 0.
1, 4
Let g(k) = -k**3 + 8*k**2 + 42*k - 37. Let y be g(10). Let p = -4203/23 + y. Solve 2/23*q**2 + p - 8/23*q = 0.
1, 3
Suppose 17*n = 251 - 200. Let i(c) be the first derivative of -9 - 15/4*c - 5/4*c**2 + 5/12*c**n. Factor i(s).
5*(s - 3)*(s + 1)/4
Let i = 1/479 - -953/2395. Suppose -3 = -5*h + 4*h. Factor 0 + 4/5*b**2 + i*b**5 + 0*b**4 + 0*b - 6/5*b**h.
2*b**2*(b - 1)**2*(b + 2)/5
Suppose 124 = 2*p + 3*y, -151 = -4*p + 5*y + 97. Let p - 19*k + k**3 - 9 - 3 - 20 = 0. Calculate k.
-5, 2, 3
Suppose 4*r = l - 0*r + 5, 3*l + 2*r = 27. Let s be l/(294/9)*(0 - -2). Factor s*y**3 + 18/7 + 33/7*y + 18/7*y**2.
3*(y + 1)*(y + 2)*(y + 3)/7
Suppose -1 = 3*k + 14, -2*k = -f + 14. Suppose f*t + 57 = 3*o, 0 = -2*o - 3*o + 5*t + 90. Factor -45*a**2 + 7 + 25*a**3 - 7 + 2 + o*a + 3.
5*(a - 1)**2*(5*a + 1)
Let v(q) be the first derivative of 0*q**4 - 12*q - 12 + 1/20*q**5 + 0*q**2 + 0*q**3 + 1/30*q**6. Let b(l) be the first derivative of v(l). Factor b(n).
n**3*(n + 1)
Determine o so that 932/7 - 934/7*o + 2/7*o**2 = 0.
1, 466
Suppose -4*l + 31 = 5*w, -2*w = -4*l + l + 6. Suppose 4*k - 8 = w*g, -18 + 12 = -3*k - g. Factor -1/10*x**k + 1/10 + 0*x.
-(x - 1)*(x + 1)/10
Let g be 7176/4140*(-15)/(-39). Factor 16/3*i**2 - g*i**3 + 0*i + 0.
-2*i**2*(i - 8)/3
Let h be 4/(-18) - 4325/(-225). Suppose -m + 1 = 0, 100*l - m = 99*l. Factor h*b**3 + 16*b**5 + 11*b + l - 52*b**4 + 145/4*b**2.
(b - 2)**2*(4*b + 1)**3/4
Let w be ((-15)/(-30))/(5/(-70)). Let x(b) = 6*b**2. Let a(l) be the first derivative of 19*l**3/3 - l**2/2 + 1. Let k(u) = w*x(u) + 2*a(u). Solve k(q) = 0.
-1/2, 0
Let m be ((-54)/9)/6 + 4. Suppose 11*b - 16 = m*b. Determine p so that 8/9*p - 2/9*p**3 + 0*p**b + 0 = 0.
-2, 0, 2
Let c(a) = -a**2 - 47*a - 819. Let o(f) = -f**2 - 23*f + 1. Let v(k) = c(k) + 3*o(k). Suppose v(g) = 0. Calculate g.
-17, -12
Let v(g) = g**3 - 12*g**2 + 9*g + 25. Let w be v(11). Solve 0*b**w + 16*b + 56*b**4 - 8 - 2*b**2 - 14*b**3 - 2*b**5 - 46*b**4 = 0 for b.
-1, 1, 2
Let j(w) be the first derivative of w**4/14 - 16*w**3/21 + 5*w**2/7 + 35*w - 65. Let b(p) be the first derivative of j(p). Factor b(n).
2*(n - 5)*(3*n - 1)/7
Let z = -583423/9 + 64825. Factor -z*x**3 - 2/9 - 2/3*x**2 - 2/3*x.
-2*(x + 1)**3/9
Let l = 4249/1760 - 5/352. Suppose 3*t = -2*u, -t - 3*u = -6 + 13. Factor 3*y - l - 3/5*y**t.
-3*(y - 4)*(y - 1)/5
Let a(g) = 5*g**2 - 5*g + 2. Let q = -2292 + 2292. Let b be a(q). Find y such that -1/2*y**b - 225/2 + 15*y = 0.
15
Let k(h) be the third derivative of h**6/200 - 3*h**5/25 - 13*h**4/40 + 1124*h**2. Solve k(q) = 0 for q.
-1, 0, 13
Let r = -567081 + 1701253/3. Factor 0 - r*b - 2/3*b**2.
-2*b*(b + 5)/3
Let y(u) be the second derivative of 0*u**3 - 22*u + 0*u**2 - 1/51*u**4 + 3/170*u**5 - 1/255*u**6 + 0. Suppose y(c) = 0. Calculate c.
0, 1, 2
Let p(r) be the second derivative of r**9/3024 - r**8/560 - r**3/3 - 53*r**2/2 - 58*r - 1. Let o(g) be the second derivative of p(g). Factor o(u).
u**4*(u - 3)
Let s be ((-84)/(-8))/(210/480). Factor -2/3*t**2 + 70/3*t + s.
-2*(t - 36)*(t + 1)/3
Let u = 551422/3 + -183807. Determine t so that 0*t - u*t**4 + 0*t**2 + 0 - t**3 = 0.
-3, 0
Let h(c) be the first derivative of 33 - 2/3*c**6 - 115*c**4 - 416*c**2 + 76/5*c**5 + 964/3*c**3 + 256*c. Factor h(r).
-4*(r - 8)**2*(r - 1)**3
Let t be 2/(-4 + 0)*(-160)/120. Factor -2/9*r**3 + t*r + 4/9 + 0*r**2.
-2*(r - 2)*(r + 1)**2/9
Let u be ((-96)/(-720) + 2/(-15))/(0 - -3). Let x(z) be the third derivative of 0*z**5 + 1/15*z**3 + u + 0*z - 1/600*z**6 + 1/40*z**4 + 23*z**2. Factor x(v).
-(v - 2)*(v + 1)**2/5
Let r = 30 - 49. Let s = r + 21. Factor -5*p + 9*p**3 + 10*p**s - 5 - 4*p**3 - 5.
5*(p - 1)*(p + 1)*(p + 2)
Let k(q) be the third derivative of -383161*q**6/24 + 619*q**5/6 - 5*q**4/24 + 5*q**2 - 6*q + 22. Factor k(y).
-5*y*(619*y - 1)**2
Let q(l) be the first derivative of l**6/57 - 4*l**5/95 - 11*l**4/38 + 8*l**3/57 + 28*l**2/19 + 32*l/19 - 1126. Determine p so that q(p) = 0.
-2, -1, 2, 4
Factor d**5 - 43083*d - 206*d**3 - 140*d**4 + 43083*d - 77*d**3 - 142*d**2.
d**2*(d - 142)*(d + 1)**2
Let x(d) be the second derivative of d**5/20 - 2*d**4/3 - 5*d**3/2 + 27*d**2 - 275*d - 2. Factor x(b).
(b - 9)*(b - 2)*(b + 3)
Let j(q) be the first derivative of 1/9*q**3 - 1/12*q**4 + 1/3*q**2 + 87 + 0*q. Solve j(m) = 0 for m.
-1, 0, 2
Let f(d) be the first derivative of -d**4/2 + 30*d**3 - 167*d**2 + 246*d + 2110. Factor f(k).
-2*(k - 41)*(k - 3)*(k - 1)
Let 0 - 5*l**3 + 505/2*l**2 - 1645/2*l = 0. Calculate l.
0, 7/2, 47
Let k(g) = 4*g**2 + 61*g + 102. Let s be k(-13). Let x be 132/s + (-100)/(-10). Solve -3/5*q**3 + 0 + x*q - 3/5*q**2 = 0.
-2, 0, 1
Find q such that -12*q**3 - 6*q**4 + 96 + 19*q**2 - 204*q + 98*q**2 + 3*q**4 + 6*q**3 = 0.
-8, 1, 4
Suppose -g - 5*x = -4, 4*g = -2*x + 5*x + 16. Let q be 7 + -7 - g*12/(-16). Find f, given that 0*f - 3/7*f**4 - 9/7*f**q + 0 - 6/7*f**2 = 0.
-2, -1, 0
Let z(f) = -24*f - 94. Let b be z(-4). Let 26 - 25*g + 68*g**2 - 18*g**b - 28*g**2 - 23*g**2 = 0. Calculate g.
-26, 1
Let t(a) = 186*a**3 - 44*a**2 + 178*a - 204. Let n(j) = 16*j**3 - j**2 - 2. Let l(d) = 12*n(d) - t(d). Factor l(y).
2*(y - 2)*(y + 9)*(3*y - 5)
Let i be 0 + 10 + -8*(-36)/(-48). Suppose -4*w - 16 = 0, -c = -5*c + i*w + 28. Factor 2/3 + 2/9*z**c + 14/9*z + 10/9*z**2.
2*(z + 1)**2*(z + 3)/9
Let x(r) be the second derivative of -r**7/1050 - 11*r**6/900 - r**5/60 + 31*r**3/6 - 2*r - 18. Let v(t) be the second derivative of x(t). Factor v(m).
-2*m*(m + 5)*(2*m + 1)/5
Let i(p) be the first derivative of 3*p**4/20 - 29*p**3/5 + 336*p**2/5 - 204*p + 6133. Factor i(l).
3*(l - 17)*(l - 10)*(l - 2)/5
Suppose -g = 3 - 5. Determine a, given that 2*a**3 + 8*a**2 - 7*a**2 - a**g - 2*a = 0.
-1, 0, 1
Suppose -13*h + 15 = -8*h, -2*h - 14 = -4*x. Find s, given that 11*s + s - x*s - 3*s**2 - 3 - 7*s + 6*s = 0.
1
Suppose 0 = 15*y - 9*y + 48. Let n be (9 + y)*(-3 + 5). Factor -16/7*u + 32/7 + 2/7*u**n.
2*(u - 4)**2/7
Let j(d) be the first derivative of d**6/21 + 54*d**5/35 + 97*d**4/14 + 78*d**3/7 + 46*d**2/7 + 293. Determine o, given that j(o) = 0.
-23, -2, -1, 0
Factor 19 - 310*l**2 + 154162*l - 154008*l - 2*l**4 + 158*l**3 - 19.
-2*l*(l - 77)*(l - 1)**2
Let l(d) = 7*d**2 - 5*d - 2. Let y(c) = 24*c - 5 - 34*c**2 + 12 + 3. Let a be 42/((-5)/30*-9). Let i(t) = a*l(t) + 6*y(t). Factor i(o).
-4*(o - 1)*(2*o + 1)
Suppose 4*u = 58 - 46. Factor 14*f**3 - 5*f**4 - f**