9 - 406. Factor -s - 6*c - 251 + 2*c**3 + 508.
2*(c - 1)**2*(c + 2)
Let d be 1 - (16928/(-36) - (-2)/9). Let s = -467 + d. Let -26/3*c**3 + 8/3*c + 8/3*c**2 + 10/3*c**s + 0 = 0. Calculate c.
-2/5, 0, 1, 2
Suppose 3*f - 40 = f. Suppose -3*r - f = -5*x - 2*r, 3*x + 5*r = 40. Factor 4*s**3 + 10*s**3 + 5 - x*s**2 + 5*s - 19*s**3.
-5*(s - 1)*(s + 1)**2
Suppose t - 5*u - 12 + 18 = 0, -3*t = 5*u - 62. Let y(l) be the first derivative of 0*l + 2*l**2 + 0*l**5 - 2*l**4 + 2/3*l**6 + t + 0*l**3. Factor y(w).
4*w*(w - 1)**2*(w + 1)**2
Let x(y) be the second derivative of y**6/270 - y**5/45 + y**4/18 + 89*y**3/6 + 12*y. Let z(r) be the second derivative of x(r). Solve z(f) = 0 for f.
1
Factor -1/8*m**2 - 19321/8 - 139/4*m.
-(m + 139)**2/8
Let h(y) be the first derivative of 4/5*y - 2/15*y**3 - 3/10*y**4 + 3/5*y**2 - 2/25*y**5 + 140. What is n in h(n) = 0?
-2, -1, 1
Let y be (4/(-6))/((-8)/12*1). Let -19 + 0 - y - 20*v + 200*v**3 + 215*v**2 - 375*v**4 = 0. Calculate v.
-2/5, 1/3, 1
Let o(j) be the third derivative of j**5/480 + 301*j**4/96 - 201*j**3/16 - 3618*j**2. Factor o(r).
(r - 1)*(r + 603)/8
Factor 40/3*n - 22/9*n**3 - 16 + 44/9*n**2 + 2/9*n**4.
2*(n - 6)**2*(n - 1)*(n + 2)/9
Suppose 232*o = 227*o + 400. Factor 3 + 34*s**2 + 12*s**2 + 80*s + 5*s**4 + 24*s**2 - o*s**3 - 78.
5*(s - 15)*(s - 1)**2*(s + 1)
Let u(h) be the first derivative of 2*h**3/21 - 7*h**2 + 140*h + 4458. Factor u(d).
2*(d - 35)*(d - 14)/7
Let -175/4 + 1/4*n**3 - 177/4*n**2 + 351/4*n = 0. What is n?
1, 175
Let u(m) be the second derivative of -9*m**5/80 - 245*m**4/24 - 1807*m**3/6 - 1859*m**2 + 178*m - 18. Suppose u(n) = 0. What is n?
-26, -22/9
Suppose -39*y + 44*y = 20. Find o, given that 290*o**2 + 3*o**3 - 5*o**5 - 10*o**4 - 426 - 23*o**3 + 10*o**4 - 40*o**y + 25*o + 176 = 0.
-5, -1, 1, 2
Let l = 43 - 24. Let u = 26 - l. Factor 838*k - 8*k**2 - u*k**2 - 828*k.
-5*k*(3*k - 2)
Suppose -33*f + 48*f - 75 = 0. Suppose 19*g = 10*g + f*g. Find h, given that -4/3*h + 2/3*h**2 + g = 0.
0, 2
Determine i, given that 4/7*i**2 + 576/7 - 104/7*i = 0.
8, 18
Let g(b) = 4*b**2 - 6594*b + 6594. Let p be g(1). Determine m, given that 4/3*m**5 - 80 - 20/3*m**p - 32/3*m - 12*m**3 + 196/3*m**2 = 0.
-3, -1, 2, 5
Let r(u) be the first derivative of 3*u**4/8 + 145*u**3/2 - 879*u**2/4 + 441*u/2 + 1006. Suppose r(k) = 0. What is k?
-147, 1
Suppose -386/3*m**2 + 70/3 + 132*m**3 + m**5 + 11*m - 116/3*m**4 = 0. What is m?
-1/3, 1, 2, 35
Suppose 0 = 5*b - 134 - 86. Find d such that 64*d**3 + 63*d**3 + 22*d**4 + b*d + 13*d + 87*d - 264*d**2 - 30*d**3 + d**5 = 0.
-12, 0, 1
Suppose 0 = 99*z - 103*z + y + 6, -5*y - 13 = -3*z. Let o be 108/(11 - 23)*z/(-3). Let 8/3*d**o + 0 + 0*d + 0*d**2 - 2/3*d**5 + 0*d**4 = 0. What is d?
-2, 0, 2
Suppose t = 3*u + 5, 5 = 339*u - 337*u + t. Determine h, given that h**3 - 1/3*h**4 - 1/3*h**5 + 5/3*h**2 + u + 2/3*h = 0.
-1, 0, 2
Let c(u) be the second derivative of -u**7/189 - 2*u**6/135 + 7*u**5/30 - 11*u**4/27 - 20*u**3/27 + 8*u**2/3 - 127*u - 10. Suppose c(r) = 0. Calculate r.
-6, -1, 1, 2
Let q(k) = 7*k + 4. Let p be q(2). Factor 10*t**3 - 3*t**3 - 2*t**3 - 8*t**3 + p*t**2.
-3*t**2*(t - 6)
Suppose 0 = -19*y + 51 - 13. Let s(d) = -4*d**2 - 41*d - 6. Let i be s(-10). Factor -4/5*p + 0*p**3 + 2/5*p**i + 0 - 6/5*p**y.
2*p*(p - 2)*(p + 1)**2/5
Solve 283338*w - 283596*w - 55 + 2*w**2 - 205 = 0 for w.
-1, 130
Let h(v) be the second derivative of -v**4/42 - 4450*v**3/21 - 4950625*v**2/7 + 2*v - 19. Determine a so that h(a) = 0.
-2225
Let a(x) = -17*x**2 - 8*x + 9. Let t(l) = 8*l**2 + 4*l - 4. Let h = -36 - -38. Suppose -9 = -h*g - 17. Let u(w) = g*a(w) - 9*t(w). Solve u(p) = 0.
-1, 0
Determine c, given that 13/6*c**3 + 0 + 32/3*c**2 + 34/3*c - 1/6*c**4 = 0.
-2, 0, 17
Let v(l) = 2*l**3 - 15*l**2 - 107*l - 24. Let o(s) = -6*s**3 + 46*s**2 + 320*s + 80. Let p(r) = 3*o(r) + 10*v(r). Factor p(g).
2*g*(g - 11)*(g + 5)
Solve -3*s**3 + 359*s + 486 - 1033*s + 96*s**2 + 251*s = 0 for s.
2, 3, 27
Let n(q) be the second derivative of q**6/30 + 667*q**5/60 + 295*q**4/12 + 221*q**3/18 + q - 7706. Let n(r) = 0. What is r?
-221, -1, -1/3, 0
Let z(y) be the first derivative of 209 - 2*y**2 + 6*y - 2/3*y**3. Suppose z(n) = 0. Calculate n.
-3, 1
Suppose -5237 = -i - 5233, 4*b = -i + 12. Factor -16/5*v - 48/5 + 28/5*v**b - 4/5*v**3.
-4*(v - 6)*(v - 2)*(v + 1)/5
Let c(h) = -20*h**2 - 11355*h - 11250. Let u(r) = 69*r**2 + 39732*r + 39374. Let s(j) = -17*c(j) - 5*u(j). Factor s(g).
-5*(g + 1)*(g + 1124)
Let m(o) be the second derivative of o**6/30 + o**5/15 - 3*o**4/2 - 6*o**3 + 75*o**2/2 + 35*o. Let z(w) be the first derivative of m(w). Factor z(i).
4*(i - 3)*(i + 1)*(i + 3)
Let i(h) = -h**4 + 2*h**3 + h**2 + 2*h + 1. Let u(s) = s**4 - 34*s**3 + 187*s**2 - 374*s + 265. Let k(y) = -i(y) + u(y). Solve k(t) = 0 for t.
2, 3, 11
Let w(j) be the second derivative of -j**7/21 + j**6 - 5*j**5 + 35*j**4/3 - 15*j**3 + 11*j**2 - 9218*j. Factor w(m).
-2*(m - 11)*(m - 1)**4
Let a(f) = 15*f**3 - 47*f**2 - 20*f - 4. Let q(d) = 3*d**3 - d - 1. Let o(b) = a(b) - 4*q(b). Factor o(x).
x*(x - 16)*(3*x + 1)
Let -9*q**3 + 1077*q - 4 - 4 + 58 - 33*q**2 + 10 - 1005*q = 0. Calculate q.
-5, -2/3, 2
Let l(u) = 8*u**2 + 6. Let s(q) = 31*q - q**2 + 0 - 2 + 1 - 32*q. Let d(t) = 2*l(t) + 12*s(t). Suppose d(i) = 0. Calculate i.
0, 3
Let a(m) = 9*m**2 - 25*m - 4. Suppose o = -0*p + p, 5*p - 27 = -4*o. Let h be a(p). Factor 0 + 0*v**3 + 0*v**4 + 0*v + 0*v**h + 1/4*v**5.
v**5/4
Let n(v) be the second derivative of 29*v**3 - 450*v**4 + 2 - 32*v + 18*v**5 - 16*v**2 - 73*v**3 - 143*v**5 - 92*v**3. Factor n(k).
-4*(k + 2)*(25*k + 2)**2
Let y(t) be the first derivative of t**5/20 + t**4/16 - t**3/2 + 3169. Factor y(f).
f**2*(f - 2)*(f + 3)/4
Let v = -1071 + 1074. Let z(b) be the second derivative of 0*b**4 + 0 + 1/42*b**7 + 0*b**v + 9*b + 0*b**2 + 1/5*b**5 - 2/15*b**6. Factor z(o).
o**3*(o - 2)**2
Let x(y) be the first derivative of -1/36*y**4 + 2*y + 2/9*y**3 - 2/3*y**2 - 15. Let i(s) be the first derivative of x(s). Solve i(l) = 0 for l.
2
Suppose 154*r - 146*r = 24. Suppose -5*x = -4*m - 65, 38 = 2*x - 2*m - 2*m. Find t such that 3 - 9/4*t**r - x*t + 33/4*t**2 = 0.
2/3, 1, 2
Let c(t) be the first derivative of t**5/30 + 5*t**4/54 - 4*t**3/27 - 4*t**2/9 + 218*t - 188. Let r(d) be the first derivative of c(d). Factor r(m).
2*(m - 1)*(m + 2)*(3*m + 2)/9
Let p be 162/(-39) + (-1)/(78/(-12)). Let j = p - -6. Let -108 - 3/4*v**4 - 66*v**j - 12*v**3 - 144*v = 0. What is v?
-6, -2
Suppose 5*k = y, 472 = -5*y + 4*k + 556. Suppose -3*o - 15*l + y = -11*l, 0 = o + 5*l - 25. Factor -3/4*f**5 - 3/2*f**4 + 0 + o*f**2 - 3/4*f**3 + 0*f.
-3*f**3*(f + 1)**2/4
Suppose 4*p - 3 = -11. Let k(j) = 5*j**3 - 50*j**2 + 125*j + 2. Let z(y) = -4 - 2 + 5 + 0. Let o(c) = p*z(c) - k(c). Factor o(s).
-5*s*(s - 5)**2
Suppose -5*a = -0*a. Let d(o) = -5 - 10*o**3 + a + 1 + o**2 - 16*o + o**2. Let p(n) = 7*n**3 - n**2 + 11*n + 3. Let w(g) = -5*d(g) - 7*p(g). Factor w(s).
(s - 1)**3
Suppose 5*k + 453 = 2*l + l, 2*k + 3*l + 177 = 0. Let w = -87 - k. Factor w*v + 5*v**2 + 7*v + 4 + 2*v.
(v + 2)*(5*v + 2)
Suppose 15*g = 5*g + 30. Suppose 0 = -p + 5*i - 5, -g*p = -5*i - 3 - 2. Factor 4*t**2 - 9 + 2 + 8 - p.
4*(t - 1)*(t + 1)
Let a(b) be the second derivative of 74*b + 0 + 28/3*b**2 + 35/18*b**4 - 1/10*b**5 + 32/3*b**3. What is i in a(i) = 0?
-2, -1/3, 14
Let k be 16/104 + (-115)/(-13). Factor -k - 3*x**2 + 28 + 5*x - 12 - 9.
-(x - 1)*(3*x - 2)
Let w(x) = -228*x**2 - 249*x + 6. Let z(v) = v**3 + 227*v**2 + 240*v - 4. Let f(b) = -2*w(b) - 3*z(b). Factor f(j).
-3*j*(j + 1)*(j + 74)
Determine l, given that 245*l**2 + 0*l + 23 + 161 - 19*l - 56*l - 434 + 5*l**4 + 75*l**3 = 0.
-10, -5, -1, 1
Suppose 6*n + 9*n = 960. Find h, given that 3*h + 2*h**2 + 0*h + 0*h**2 + 63*h**3 - n*h**3 = 0.
-1, 0, 3
Let n(l) = 2474*l - 14841. Let s be n(6). Determine m, given that 2/3*m - m**2 + 0*m**s + 0 + 1/3*m**4 = 0.
-2, 0, 1
Let r = -267 - -318. Determine q so that 45*q**2 + 63*q + 60 + 20*q**3 - 31*q + 17*q + r*q - 15*q**3 = 0.
-6, -2, -1
Let l(o) = 92*o**2 - 560*o - 1716. Let r(z) = 18*z**2 - 112*z - 344. Let k(h) = -7*l(h) + 36*r(h). Factor k(b).
4*(b - 31)*(b + 3)
Let x(c) be the first derivative of 2*c**5/45 + c**4/9 - 14*c**3/9 + 2*c**2 + 1872. Factor x(m).
2*m*(m - 3)*(m - 1)*(m + 6)/9
Let g(j