**2 - 33*t - 22. Let y be a(-16). Let x be 9/6*(-1)/y. Find b, given that x*b**3 + 0*b + 1/4*b**4 + 0 + 0*b**2 = 0.
-1, 0
Let w(d) = d + 13. Let u(s) = -3*s**2 - 102*s - 468. Let x(t) = -u(t) - 12*w(t). Factor x(g).
3*(g + 4)*(g + 26)
Suppose 26 = 2*p + 18. Factor 30*s**3 - 96 + 5*s**p + 5*s**4 - 3*s**4 - 8*s - s**4 - 4*s**4 + 72*s**2.
2*(s - 1)*(s + 2)**2*(s + 12)
Let s(t) be the second derivative of t**6/1440 + t**5/120 - 5*t**4/96 + 56*t**3/3 - 2*t + 116. Let i(n) be the second derivative of s(n). Factor i(v).
(v - 1)*(v + 5)/4
Let g(r) be the first derivative of -8*r**6/5 - 456*r**5/25 - 147*r**4/20 + 213*r**3/5 + 27*r**2/2 - 243*r/5 - 1291. Solve g(o) = 0.
-9, -1, 3/4
Let f(w) = 3*w**2 + 6 - 15*w + 11 - 20. Let v(u) = -u**2 + 15*u + 2. Let t(a) = 2*f(a) + 3*v(a). Determine o, given that t(o) = 0.
-5, 0
Factor 0 - 3/8*q**3 - 657/8*q + 165/2*q**2.
-3*q*(q - 219)*(q - 1)/8
Let n(q) = -4*q**4 + q**3 + q**2 + q - 1. Let y(j) = 70*j**4 - 35*j**3 - 143*j**2 - 207*j - 67. Let u(l) = 34*n(l) + 2*y(l). Solve u(x) = 0.
-3, -1, 14
Let v(i) = -12*i**3 - 50*i**2 - 148*i - 637. Let x(r) = 13*r**3 + 57*r**2 + 150*r + 636. Let c(b) = -12*v(b) - 11*x(b). Factor c(m).
(m - 18)*(m - 12)*(m + 3)
Let j(t) be the second derivative of t**6/30 + 2*t**5/9 - 16*t**2 - 62*t. Let q(k) be the first derivative of j(k). Factor q(w).
4*w**2*(3*w + 10)/3
Let z(c) be the first derivative of -15*c**4/4 + 95*c**3/3 + 105*c**2 - 80*c + 142. Factor z(j).
-5*(j - 8)*(j + 2)*(3*j - 1)
Let a = 395 - 502. Let b = -103 - a. Find p, given that -10*p + 21/2*p**3 + 7*p**2 + 1/2*p**5 - 12 + b*p**4 = 0.
-3, -2, 1
Determine l so that -181*l**2 + 60 + 2913*l**4 - 2898*l**4 - 5*l**5 - 20*l + 106*l**2 + 25*l**3 = 0.
-2, -1, 1, 2, 3
Let p(n) be the first derivative of n**4/2 + 62*n**3 + 2295*n**2 + 12150*n + 2636. Factor p(k).
2*(k + 3)*(k + 45)**2
Let q = -14378 + 14378. Let n(h) be the first derivative of -13 + 5/2*h**2 + q*h + 5/3*h**3. Factor n(l).
5*l*(l + 1)
Factor -650/21*y**4 - 4/21*y - 250/21*y**5 - 110/7*y**3 - 62/21*y**2 + 0.
-2*y*(y + 2)*(5*y + 1)**3/21
Factor 1/8*u**3 - 1/2*u + 15/4*u**2 - 15.
(u - 2)*(u + 2)*(u + 30)/8
Let q(g) = 2*g**3 + 34*g**2 - 126*g - 160. Let t(f) = 4*f**3 + 2. Let m(y) = 2*y**3 + 1. Let l(o) = m(o) - t(o). Let h(b) = -2*l(b) - q(b). Factor h(c).
2*(c - 9)**2*(c + 1)
Let -84*d**4 - 252*d**2 - 710*d**3 + 519*d + 15*d**5 + 390*d**2 + 176*d**3 - 105 + 51*d**4 = 0. Calculate d.
-5, -1, 1/5, 1, 7
Let p = -544763/2 + 272382. Factor p*j**2 - 43/2 - 21*j.
(j - 43)*(j + 1)/2
Let i(j) = j. Let s be ((-26)/5)/((-24)/60). Suppose 14*u - 1 = s*u. Let n(c) = 3*c**4 + 8*c**3 - 3*c**2 - 13*c + 4. Let y(v) = u*n(v) + i(v). Factor y(t).
(t - 1)*(t + 2)**2*(3*t - 1)
Let w(z) be the second derivative of -z**4/4 - 51*z**3 - 303*z**2/2 - 21*z + 10. Factor w(s).
-3*(s + 1)*(s + 101)
Let f = 58157/13 + -4473. Let -8/13*v + 2/13*v**4 + f*v**3 + 10/13 - 12/13*v**2 = 0. Calculate v.
-5, -1, 1
Let h be ((-4)/6 - 2/2) + (57 - (-867)/(-17)). Suppose h*q - 169/6 - 1/6*q**2 = 0. Calculate q.
13
Let -2/3*b**5 - 284/9*b**2 - 58/9*b - 224/9*b**3 + 20/3 - 64/9*b**4 = 0. What is b?
-5, -3, -2, -1, 1/3
Let z(l) = l**4 - 2*l**3 + l**2 + l. Let d(m) = -36*m**4 + 1196*m**3 - 3012*m**2 + 1084*m + 744. Let p(w) = -d(w) - 24*z(w). Suppose p(s) = 0. What is s?
-1/3, 1, 2, 93
Let s be ((-726)/(-198))/((-11)/(-462)*77). Factor 6/11*a**s - 144/11*a + 0.
6*a*(a - 24)/11
Let 380 - 102*q**2 + 24*q**2 + 29*q**2 - 18*q + 22*q**2 + 25*q**2 = 0. What is q?
-19, 10
Let t(s) = 7*s**5 - s**4 + 13*s**3 - 19*s**2 + 22*s - 10. Let y(u) = u + 5 - u**3 - 6 - 7*u**2 + 8*u**2 + u**5 + u**4. Let r(i) = -t(i) + 6*y(i). Factor r(f).
-(f - 2)**2*(f - 1)**3
Let l(s) = 123*s + 265 - 19*s**2 + 242*s + 99*s**2 - 710. Let v(j) = 13*j**2 + 61*j - 74. Let q(w) = 4*l(w) - 25*v(w). Factor q(a).
-5*(a - 1)*(a + 14)
Find d such that -150*d + 100 + 23*d**2 + 287401*d**4 + 6*d**3 - 287403*d**4 + 23*d**2 = 0.
-5, 1, 2, 5
Let q(i) be the second derivative of i**6/195 + 6*i**5/65 - 3*i**4/13 - 68*i**3/39 - 3*i**2 + 221*i - 7. Solve q(s) = 0 for s.
-13, -1, 3
Let i(f) be the second derivative of -f**6/45 - 11*f**5/120 + 19*f**4/72 - f**3/9 - 2072*f. Factor i(y).
-y*(y - 1)*(y + 4)*(4*y - 1)/6
Let g = 68 - 65. Let t(x) be the first derivative of 10/3*x**g + 2*x**4 + 2/5*x**5 - 11 + 2*x**2 + 0*x. Factor t(j).
2*j*(j + 1)**2*(j + 2)
Suppose 4*p - 3*w - 12 = 0, 17*w + 32 = -p + 9*w. Factor p*d**2 - 3/4*d**3 + 9/4*d + 3/2.
-3*(d - 2)*(d + 1)**2/4
Let p be ((-40)/(-140))/((-3)/(-21)). Let v be (1/6)/((-9)/(-576)). Factor -v - 8*a**p + 16*a + 4/3*a**3.
4*(a - 2)**3/3
Factor -1677*m**2 - 50*m**4 + 1767*m**2 + 23*m**3 + 5*m**5 + 12*m**3.
5*m**2*(m - 9)*(m - 2)*(m + 1)
Let f(k) = 3*k**2 - 5*k - 14. Let t be f(4). Factor t*j**3 + 0*j**4 + j**3 - 4*j**2 - j**3 - 4*j**4 - 6*j**3.
-4*j**2*(j - 1)**2
Let p(r) be the third derivative of r**8/1344 + r**7/40 - 23*r**6/240 + r**5/120 + 15*r**4/32 - 23*r**3/24 - 907*r**2. Factor p(u).
(u - 1)**3*(u + 1)*(u + 23)/4
Factor 8 - 27*j - 540*j**2 - 195*j + 161*j - 471*j.
-4*(j + 1)*(135*j - 2)
Let p(y) be the third derivative of y**6/60 + 122*y**5/15 - 72*y**2 + 3*y. Suppose p(k) = 0. Calculate k.
-244, 0
Suppose 5*d = 4*d + 4*w + 44, -33 = -5*d + 3*w. Find b, given that -2/17*b**4 + 4/17*b**2 + d*b + 2/17*b**3 + 0 = 0.
-1, 0, 2
Let m be ((-8)/(-14))/((3 + 5)/56). Suppose 5*w = -m*h - 20, -w + 3 - 28 = 5*h. Suppose -2/5*s + w*s**2 + 0 + 2/5*s**3 = 0. Calculate s.
-1, 0, 1
Let w(n) = -5*n**2 + 16*n + 34. Let z(f) = 3*f**2 - 17*f - 34. Let d(j) = 4*w(j) + 6*z(j). Factor d(p).
-2*(p + 2)*(p + 17)
Let w = -351018 - -351021. Find v such that 2*v + 0*v**2 - 2/3*v**w + 4/3 = 0.
-1, 2
Suppose -11*a = -20*a + 2997. Let n = a + -330. Factor -4/7*o + 2*o**n + 0 + 10/7*o**2.
2*o*(o + 1)*(7*o - 2)/7
Determine l, given that 89*l - 10292 + 308*l + 92*l**2 + 43*l + 4*l**3 + 10836 = 0.
-17, -4, -2
Let 1/3*t**2 + 390625/3 - 1250/3*t = 0. Calculate t.
625
Let h(g) be the first derivative of g**5/270 + g**4/2 + 53*g**3/27 - g**2/2 - 76*g + 222. Let j(r) be the second derivative of h(r). Factor j(s).
2*(s + 1)*(s + 53)/9
Let x(l) be the third derivative of -81*l**5/20 - 1152*l**4 - 131072*l**3 - 12*l**2 - 104*l + 1. What is v in x(v) = 0?
-512/9
Suppose 19*c = -5*c - 72. Let w(z) = 2*z**3 + 8*z**2 + 4*z + 1. Let b(d) = -3*d**3 - 14*d**2 - 7*d - 1. Let i(x) = c*b(x) - 5*w(x). Factor i(h).
-(h - 2)*(h - 1)*(h + 1)
Let n(w) = -319*w**2 - 139*w - 11. Let i(p) = 2*p - 4. Let d = -75 + 78. Let g be i(d). Let h(q) = 160*q**2 + 70*q + 6. Let s(m) = g*n(m) + 5*h(m). Factor s(k).
2*(9*k + 2)**2
Let h(t) be the third derivative of -t**5/330 + 23*t**4/66 - 13*t**2 - 1. Solve h(m) = 0 for m.
0, 46
Let f(k) = k**2 - k - 8. Let s be f(4). Let v be 72/168*((-32)/(-6))/s. Factor 4*u**3 - 32/7*u**2 - v + 18/7*u - 12/7*u**4 + 2/7*u**5.
2*(u - 2)*(u - 1)**4/7
Let y(b) be the second derivative of -b**5/70 + 6*b**4/7 + 81*b**3/7 + 54*b**2 + 27*b + 14. Factor y(s).
-2*(s - 42)*(s + 3)**2/7
Let q be -14 + -3 + (44 + -4)/5. Let m be q/2 - (-3 + 2 - 4). Factor -9/4*o - 5/4*o**2 + m.
-(o + 2)*(5*o - 1)/4
Let b(d) be the first derivative of 6*d**7/7 - 76*d**6/15 + 44*d**5/5 - 8*d**4/3 + 7*d - 40. Let z(p) be the first derivative of b(p). Factor z(x).
4*x**2*(x - 2)**2*(9*x - 2)
Let p = -411 - -486. Let f = -149/2 + p. Find u, given that f*u**4 + 6*u**2 + 5*u + 3*u**3 + 3/2 = 0.
-3, -1
Let m(k) = 19*k**3 + 84*k**2 + 200*k - 359. Let o(w) = -5*w**3 - 21*w**2 - 52*w + 90. Let z(a) = -6*m(a) - 23*o(a). Find y such that z(y) = 0.
-2, 2, 21
Find a, given that -891/4*a**2 - 1/4*a**4 - 447/4*a**3 + 0 - 445/4*a = 0.
-445, -1, 0
Let n(l) = 10*l**2 + 12*l**2 + 6*l + 2 + 9*l**2 + 2*l**4 - 35*l**2. Let q(o) = 3*o**4 - o**3 - 7*o**2 + 11*o + 4. Let c(a) = 5*n(a) - 3*q(a). Factor c(f).
(f - 1)*(f + 1)**2*(f + 2)
Let d(l) be the first derivative of -2*l**3 - 3*l**2/2 - 6*l - 413. Let z(j) = -3*j**2 - 2*j - 3. Let n = -1 - 8. Let u(v) = n*z(v) + 4*d(v). Factor u(k).
3*(k + 1)**2
Let g(p) be the third derivative of p**8/161280 - p**7/5760 + p**6/960 - p**5/30 + 2*p**4/3 - p**2 + 1. Let h(m) be the third derivative of g(m). Factor h(u).
(u - 6)*(u - 1)/8
Let u = -194181 - -194184. Factor 4/3*q - 2/3*q**2 + 0 - 2/3*q**u.
-2*q*(q - 1)*(q + 2)/3
Let o(d) be the first derivative o