 1/180*k**5 + 2/9*k**3 + 0 + 13*k**2 + 0*k. Find w, given that c(w) = 0.
-2
Let a(r) be the first derivative of -4*r**3/21 - 5700*r**2/7 - 8122500*r/7 + 3497. Factor a(v).
-4*(v + 1425)**2/7
Let r(h) = -4*h**4 - 4*h**3 - 107*h**2 + 100*h - 6. Let s(f) = f**4 + 6*f**3 + 103*f**2 - 100*f + 4. Let c(u) = -2*r(u) - 3*s(u). Factor c(v).
5*v*(v - 5)*(v - 1)*(v + 4)
Factor 143/5 - 142/5*l - 1/5*l**2.
-(l - 1)*(l + 143)/5
Let r = 3115 + -3115. Let y be (4*(-1)/(-3))/((-90)/(-27)). Factor r*f + 0 - y*f**2.
-2*f**2/5
Let d = 1100 + -1089. Let h be 2/d*(50 + -28). Factor -9/5*b + 9/5*b**3 + 0 + 3/5*b**h - 3/5*b**2.
3*b*(b - 1)*(b + 1)*(b + 3)/5
Factor -15184*m - 1476*m**2 - 4293 + 44*m**4 - 5417 + 44*m**4 - 3810 + 184*m**3 - 92*m**4.
-4*(m - 26)**2*(m + 1)*(m + 5)
Suppose x = -5*r + 127 - 92, -5*x + r = 7. Suppose 4/9*u**5 + 8/9*u**4 - 4/9*u + 0*u**3 + x - 8/9*u**2 = 0. What is u?
-1, 0, 1
What is b in -1/6*b**2 - 862/3*b - 371522/3 = 0?
-862
Suppose -2*b - 9 = -b. Let l be 14/(-4)*(7 + b). Factor -y**4 + 7*y**3 + l*y**3 - 16*y**3.
-y**3*(y + 2)
Let v(p) be the third derivative of -p**6/900 - 367*p**5/450 + 1577*p**2. Suppose v(n) = 0. What is n?
-367, 0
Let q(h) = -2*h + 1. Let p(m) be the third derivative of -m**5/15 + m**4/3 - m**3 - 4*m**2 + 1. Let r(s) = p(s) - 2*q(s). Solve r(w) = 0 for w.
1, 2
Determine c so that 64*c + 28*c**4 - 310*c**2 - 336 - 26*c**3 + 196*c**2 + 40*c + 344 = 0.
-2, -1/14, 1, 2
Let w(g) be the third derivative of g**8/20160 - g**7/1680 + g**5/30 + 17*g**3/2 + g**2 + 3. Let l(x) be the third derivative of w(x). Factor l(v).
v*(v - 3)
Suppose -3*r + 5*o - 2 = -7*r, 0 = o + 2. Suppose 5*c = -n + 5*n - 28, 0 = -r*n + 2*c + 14. Factor 5/2*j**n - 5/4*j**3 + 5/4*j - 5/2.
-5*(j - 2)*(j - 1)*(j + 1)/4
Let q(u) = -u**3 - 2*u**2 - 6*u + 4. Let x be q(0). Let h(d) be the second derivative of 0*d**3 - 2*d + 0*d**2 + 0 - 1/10*d**5 + 1/6*d**x. Factor h(y).
-2*y**2*(y - 1)
Solve -2395/7*a**2 - 599/7*a + 0 + 3/7*a**4 - 1793/7*a**3 = 0.
-1, -1/3, 0, 599
Let u(r) = -6*r - 25. Let w be u(-12). Let v = -44 + w. Suppose -4*b + v*b**2 + 59*b**4 - 60*b**4 + 2*b = 0. What is b?
-2, 0, 1
Let z be (-1)/(2/12)*(-8 - 240/(-27)) + 7. Determine x, given that 10*x**4 - z*x**5 - 5*x + 50/3*x**2 + 0 - 20*x**3 = 0.
0, 1, 3
Let o = -7369/10 + 52393/70. Factor o + 1/7*x**2 - 18/7*x.
(x - 9)**2/7
Let h(t) be the second derivative of t**7/126 - 7*t**6/30 + 4*t**5/15 + 7*t**4/3 - 40*t**3/9 + 3*t + 902. Let h(u) = 0. Calculate u.
-2, 0, 1, 2, 20
Let q = 12 + -10. Factor -25 - 21 - 2*b**q - 4*b + 44.
-2*(b + 1)**2
Let s(v) = -v**2 + 2*v - 3. Let f(g) = 0 - 4 + 3. Suppose 46*y = -1 - 21 + 68. Let z(x) = y*s(x) - 2*f(x). Factor z(n).
-(n - 1)**2
Factor 335*u**2 - 3439*u + 8345*u - 3401*u - 1575 - 2740*u - 5*u**3.
-5*(u - 63)*(u - 5)*(u + 1)
Factor -23*z**4 - 24*z**4 + 51*z**4 + 476*z**3 - 529*z**2 + 49*z**2.
4*z**2*(z - 1)*(z + 120)
Let m(h) be the first derivative of -h**4/20 + 59*h**3/15 - 29*h**2/5 + 489. Determine z, given that m(z) = 0.
0, 1, 58
Let w(t) = 84*t**4 - 544*t**3 - 2282*t**2 - 2354*t. Let d(p) = 19*p**4 - 121*p**3 - 507*p**2 - 523*p. Let b(m) = 22*d(m) - 5*w(m). Let b(f) = 0. What is f?
-2, 0, 33
Let u be (-33 + 25 + 3)/((-7)/((-21)/(-12))). Let 1/4*t - 3/2*t**3 + u*t**2 + 0 = 0. What is t?
-1/6, 0, 1
Let x(j) = -j**3 - 46*j**2 + 145*j - 93. Let g be x(-49). Let -14*p**g - 324*p**4 - 94*p**5 - 44*p - 4 + 0*p**5 - 184*p**2 - 360*p**3 = 0. What is p?
-1, -1/3
Solve 31*q**3 + 0 + 60*q**2 + 0*q + 1/2*q**4 = 0 for q.
-60, -2, 0
Let c(f) = 3*f**2 - 32*f + 22. Let q be c(10). Factor -8276*o + 8276*o - o**3 - q*o**2.
-o**2*(o + 2)
Let v be (-1155)/99 - 1*(-3)/(-9). Let b be 36/16*v/(-9). Find k, given that 3*k**2 + 15/8*k**b + 0 + 3/2*k + 3/8*k**4 = 0.
-2, -1, 0
Let l = -50 + 185. Suppose 0 = z - 5*w - l, 0 = 2*z + 3*z - 2*w - 606. Determine t, given that 12*t - 1 - 2 - 116*t**2 + 11 + z*t**2 = 0.
-2, -1
Let x(p) be the third derivative of -61/96*p**4 + 0*p - 2*p**2 - 3/4*p**3 - 55 + 7/240*p**5. Determine f so that x(f) = 0.
-2/7, 9
Let u(y) be the second derivative of y**5/20 + 8*y**4/3 + 154*y**3/3 + 392*y**2 - 492*y. Factor u(k).
(k + 4)*(k + 14)**2
Suppose -30*x + 69 = 9. Let n be (-6)/2*4/(-6). Factor 3*p**2 + 2*p**x + 0*p**3 - 9*p**2 - n*p**3.
-2*p**2*(p + 2)
Let f(o) be the third derivative of o**5/60 - o**3 - 15*o**2. Let h be f(-3). Let 0 + 36*m**5 - 64*m**h + 4 - 8*m**2 + 4 + 28*m = 0. Calculate m.
-1, -2/3, -1/3, 1
Factor -420 - 22*w + 641*w + 48*w**2 - 245*w - 2*w**3.
-2*(w - 30)*(w - 1)*(w + 7)
Let c(d) be the second derivative of 17*d + 0*d**2 + 3/40*d**5 - 5/4*d**3 - 1/2*d**4 + 0. Suppose c(k) = 0. Calculate k.
-1, 0, 5
Let x(t) be the first derivative of -t**6/42 + 283*t**5/35 + 71*t**4/7 - 19. Let x(s) = 0. What is s?
-1, 0, 284
Let n(a) be the third derivative of -a**5/30 - 9*a**4/2 - 195*a**3 - 642*a**2. Let n(s) = 0. What is s?
-39, -15
Let l be ((-1)/(70/(-12)))/((-831)/(-1385)). Factor -66/7*k**2 - 68/7*k - l.
-2*(k + 1)*(33*k + 1)/7
Let v(b) be the second derivative of -268*b + 0 + 20/7*b**3 - 9/7*b**4 - 16/7*b**2 + 1/7*b**5. Let v(g) = 0. What is g?
2/5, 1, 4
Let v be ((32832/486)/76)/(-1 + 16/15). Let r(k) be the third derivative of 0 - 5/3*k**4 + 0*k + 1/12*k**5 + v*k**3 + 18*k**2. Factor r(l).
5*(l - 4)**2
Let a(n) be the second derivative of -n**5/120 - n**4/9 - 17*n**3/36 - 5*n**2/6 - 959*n. Factor a(c).
-(c + 1)*(c + 2)*(c + 5)/6
Suppose 4 = k + 4*y, 4*k - 6*y + 2 = -4*y. Suppose -4*h - 4*x - 8 = k, 4*h - 4*x = -2 + 10. Solve h + 0*l - 1/2*l**3 + 1/2*l**2 = 0.
0, 1
Suppose 4*n = -3*a + 104 + 83, 4*a - 249 = -5*n. Let 57 - 27 + a + 20*m - 10 - 4*m**2 + 15 = 0. Calculate m.
-3, 8
Suppose -4*d = 10*g - 15 - 53, -44 = -4*g - 3*d. Factor 4/3*v - 1/3*v**3 + 0 + 4/3*v**g - 1/3*v**4.
-v*(v - 2)*(v + 1)*(v + 2)/3
Let z(u) be the first derivative of -u**4/12 + 49*u**3/3 - 1725*u**2/2 - 5625*u - 775. Factor z(n).
-(n - 75)**2*(n + 3)/3
Let m(q) be the first derivative of 5*q**3/3 - 1725*q**2/2 - 1730*q + 8370. Factor m(o).
5*(o - 346)*(o + 1)
Let w(g) = g + 41. Let a be w(-38). Factor -14*v**2 + 3*v**3 + 0*v**3 - 2 + 3*v**3 + 10*v + 0*v**a.
2*(v - 1)**2*(3*v - 1)
Suppose d = -3*t + 182, -t + 18*d + 64 = 20*d. Factor 10*z**3 - 2444*z**4 + 25 + t*z**2 + 38*z + 2439*z**4 + 32*z.
-5*(z - 5)*(z + 1)**3
What is s in -6272/9 - 830/9*s**4 - 31808/9*s - 14/9*s**5 - 13592/9*s**3 - 38312/9*s**2 = 0?
-28, -2, -1, -2/7
Determine h, given that -466*h - 66 + 354*h - 318 - 96 + 2*h**2 = 0.
-4, 60
Factor -140*f**2 + 19*f**3 - 10*f**3 - 1540*f - 9*f**3 + 560*f - 5*f**3.
-5*f*(f + 14)**2
Suppose 19 = i - 23. Let t = 45 - i. Factor 12*m**2 + 14*m - 29*m - t*m**3 - 2 + 8.
-3*(m - 2)*(m - 1)**2
Let u(l) be the third derivative of 0*l**3 + 1/8*l**4 + 1/70*l**7 + 3/40*l**6 + 3/20*l**5 - 48*l**2 + 0 + 0*l. Suppose u(m) = 0. Calculate m.
-1, 0
Let o(g) be the second derivative of g**7/1260 - g**5/15 - g**4/3 + g**3/6 - 27*g. Let j(l) be the third derivative of o(l). Factor j(m).
2*(m - 2)*(m + 2)
Let y(a) be the second derivative of a**3 + 9*a**2 + 0 - 5/6*a**4 + 1/10*a**5 - 46*a. Find b such that y(b) = 0.
-1, 3
Factor 0 + 2/3*r**4 + 1594*r**3 + 4780/3*r**2 + 0*r.
2*r**2*(r + 1)*(r + 2390)/3
Let c(h) be the third derivative of h**6/120 - 2036*h**5/35 + 7107385*h**4/56 - 3045025*h**3/21 - h**2 - 409. Let c(o) = 0. Calculate o.
2/7, 1745
Factor 0*y**3 - y**3 + 2415*y**2 + 34 - 2383*y**2 + 67*y.
-(y - 34)*(y + 1)**2
Let r(l) = l**4 + 10*l**3 + 35*l**2 + 42*l + 18. Let d(f) = -f**4 - 10*f**3 - 36*f**2 - 43*f - 19. Let g = -90 + 86. Let x(u) = g*d(u) - 6*r(u). Factor x(b).
-2*(b + 1)**2*(b + 4)**2
Let a(u) be the first derivative of -u**4/8 - 11*u**3/12 + 67*u**2/8 + 9*u + 355. Factor a(p).
-(p - 4)*(p + 9)*(2*p + 1)/4
Suppose 251*p**2 + 660*p - 59*p**3 - 57*p**3 - 55*p**2 + 2*p**4 + 352*p**2 - 6*p**4 = 0. Calculate p.
-33, -1, 0, 5
Let h be (-5)/(65/2) - ((-2016)/156)/6. Let m(q) be the second derivative of 0 + 0*q**h + 7*q + 5/3*q**4 + 8/3*q**3 - 3/10*q**5. Find p, given that m(p) = 0.
-2/3, 0, 4
Find z, given that 2*z**2 - 8 - 1357*z - 2*z**3 - 1363*z + 2728*z = 0.
-2, 1, 2
Let r(m) be the second derivative of -1/36*m**4 + 0 + 4/9*m**3 + 23*m - 8/3*m**2. Factor r(p).
-(p - 4)**2/3
Let b(n) be the first derivative of 2*n**5/45 - 251*n**4/18 + 31750*n**3/27 - 15625*