*l**3/24 - 555*l**2/8 + 4054*l. Factor a(b).
-(b - 555)*(b + 1)*(3*b - 1)/4
Factor 1089936 + 1/4*r**2 + 1044*r.
(r + 2088)**2/4
Let d(n) be the second derivative of 0 + 31/24*n**3 - 24*n - 1/48*n**4 - 15/4*n**2. Determine a, given that d(a) = 0.
1, 30
Suppose 215/3*n**3 + 720 + 255*n + 5/3*n**4 - 395*n**2 = 0. What is n?
-48, -1, 3
Let t(f) = -f**3 + 21*f - 16. Let q be t(4). Let p(h) be the second derivative of 9/2*h**3 - 3/20*h**5 - 15/2*h**2 - 3/4*h**q + 0 - 10*h. Factor p(y).
-3*(y - 1)**2*(y + 5)
Let k(b) be the third derivative of 1/900*b**6 + 4/45*b**4 - 199*b**2 - 4/5*b**3 + 0 + 0*b + 19/450*b**5. Find x such that k(x) = 0.
-18, -2, 1
Find s such that 23/10*s**2 + 2/5*s - 46/5 - 1/10*s**3 = 0.
-2, 2, 23
Let c(r) be the second derivative of r**6/50 - 27*r**5/50 - 17*r**4/4 - 33*r**3/5 - 2*r - 97. Factor c(k).
3*k*(k - 22)*(k + 1)*(k + 3)/5
Let j(a) = -a**2 - 4*a + 7. Let q be j(-5). Suppose q = -2*t + 5*p, -7 - 7 = -5*t + 3*p. Factor 40*c**2 + 3*c**4 - 9*c**t + 11*c**4 + 35*c**3 - 80*c.
5*c*(c - 1)*(c + 4)**2
Let w(j) be the first derivative of -j**5 + 55*j**4/2 - 100*j**3/3 - 55*j**2 + 105*j + 977. Factor w(s).
-5*(s - 21)*(s - 1)**2*(s + 1)
Let u(f) = -3*f**4 + 165*f**3 - 159*f**2 - 105*f + 162. Let p(y) = -y**4 + 2*y**3 + 8*y + 1. Let v(d) = -6*p(d) + u(d). Factor v(t).
3*(t - 1)**2*(t + 1)*(t + 52)
Let g(f) = 2*f**3 - 15*f - 1. Let s be g(3). Suppose -3*m + 2*l = -17, -7*m + s*m + 2*l = -5. What is b in -1/4*b**m - 4 - 5*b - 2*b**2 = 0?
-4, -2
Suppose -38/13*p**3 - 42/13*p**2 + 18/13*p**4 - 120/13 - 2/13*p**5 + 184/13*p = 0. What is p?
-2, 1, 2, 3, 5
Let x(r) be the first derivative of r**8/13440 - r**7/6720 - r**6/2880 + r**5/960 - 40*r**3 + 174. Let m(l) be the third derivative of x(l). Factor m(p).
p*(p - 1)**2*(p + 1)/8
Suppose -4*j - 6 = -26. Let h = -69050 - -207151/3. Factor -1/3*k**j + h*k + 0*k**3 + 2/3*k**2 - 2/3*k**4 + 0.
-k*(k - 1)*(k + 1)**3/3
Let y(r) = -r**2 + 8*r - 28. Let z be y(7). Let g = 25 + z. Solve -13*m**g + 2*m**4 + 24*m**3 + 6*m**2 - 10*m**4 - 9*m**3 = 0 for m.
-2/7, 0, 1
Factor -1/5*h**3 + 0 - 9*h - 18/5*h**2.
-h*(h + 3)*(h + 15)/5
Let u(y) = 2*y**2 + 246*y + 247. Let p be u(-1). Let n(b) be the first derivative of 1/3*b**p - b**2 + 14 - 3*b. Solve n(d) = 0 for d.
-1, 3
Let x(n) = -n**3 - 6*n**2 + 3*n + 2. Let l(o) = o**2. Suppose 0 = 7*h - 6*h - 4. Suppose -5*k + h = -21. Let i(v) = k*x(v) + 30*l(v). Factor i(y).
-5*(y - 2)*(y + 1)**2
Let w = 13 - 8. Let z be 14 - (7 - 3) - (-13 + 15). Find l such that -z*l**5 + 6*l**w + l**5 + l**4 = 0.
0, 1
Let d(a) = -1166*a**3 - 6*a**2 - 3*a + 8. Let p be d(1). Let n = 1167 + p. Factor 2/11*o**2 + n + 0*o.
2*o**2/11
Factor 85*c**2 - 60*c**2 - c**3 + 0 - 15876*c + 227*c**2 + 0.
-c*(c - 126)**2
Let k(f) = -22*f**2 + 2045*f + 97. Let y be k(93). Let 2/13*t**3 - 2/13*t**y + 0 - 2/13*t + 2/13*t**2 = 0. What is t?
-1, 0, 1
Suppose 9/2*i**3 - 237*i**2 + 159 - 165/2*i = 0. Calculate i.
-1, 2/3, 53
Let a = 23809/143070 + 6/23845. Suppose -1/6*i**2 + 1/3 - a*i**4 + 1/2*i - 1/2*i**3 = 0. Calculate i.
-2, -1, 1
Let f = 176 + -164. Find m, given that -m**2 + 25*m + f*m**2 - 24 - 79*m + 4*m**2 = 0.
-2/5, 4
Suppose -5*s - 2*h = -3*s - 6, h = 3*s - 13. Let -3*m**3 + 32*m**2 - 9*m**3 - 38*m + 32*m**2 + 0*m**s - 4*m**4 - 10*m = 0. Calculate m.
-6, 0, 1, 2
Let x(r) be the third derivative of 1/10*r**5 - 1/210*r**7 - 5 + 1/24*r**6 - 7*r**2 + 0*r**3 + 0*r**4 + 0*r. Let x(d) = 0. Calculate d.
-1, 0, 6
Let t(k) be the third derivative of 1/12*k**3 + 0 + 79/240*k**5 + 24*k**2 + 0*k + 27/32*k**4. Determine y so that t(y) = 0.
-1, -2/79
Let o(p) be the third derivative of -4*p**7/105 + 95*p**6/6 - 12561*p**5/5 + 1004801*p**4/6 - 986078*p**3/3 + 1338*p**2. Factor o(x).
-4*(x - 79)**3*(2*x - 1)
Suppose -3*b + b = 10*b - 384. Let n(z) be the first derivative of -1/2*z**4 - 8*z**2 + 5 - b*z + 14/3*z**3. What is o in n(o) = 0?
-1, 4
Suppose 33*a - 354 = -57. Find t such that 9*t**2 - 123*t**4 + 31*t**2 + 30*t**2 - a*t**5 + 14*t**2 + 77*t**3 - 29*t**3 = 0.
-14, -2/3, 0, 1
Let p(i) be the third derivative of 2*i**7/525 - 7*i**6/75 - 49*i**5/75 - 17*i**4/15 - i**2 + 7. Suppose p(q) = 0. What is q?
-2, -1, 0, 17
Let t(o) be the second derivative of 16*o**6/195 + 172*o**5/65 + 259*o**4/26 + 25*o**3/3 + 38*o**2/13 - o + 111. Let t(l) = 0. Calculate l.
-19, -2, -1/4
Let t(j) be the second derivative of -j**6/240 + j**5/40 + 43*j**3/6 + 9*j. Let c(v) be the second derivative of t(v). Factor c(x).
-3*x*(x - 2)/2
Let l = 1707/224 + -294155/224. Let g = -1305 - l. Find h, given that -6/7*h**2 - g*h + 0 - 2/7*h**3 = 0.
-2, -1, 0
Let -313/3*i + 314/3 - 1/3*i**2 = 0. Calculate i.
-314, 1
Suppose 119 = b + 5*s + 37, 0 = -2*b - s + 20. Determine y so that -1/4*y**3 - 1935/4*y - 89/4*y**b + 2025/4 = 0.
-45, 1
Let m = 139159 + -139157. Factor 3/4*s - 3/4*s**3 + 15/4*s**m - 15/4.
-3*(s - 5)*(s - 1)*(s + 1)/4
Solve 24*j**2 - 38*j**2 + 12*j**2 - 46*j = 0 for j.
-23, 0
Suppose 3*y + 6*r - 126 = 4*r, y = 5*r + 25. Factor -68*o**2 + 13*o**2 + 5*o**2 + 5*o**4 + 0*o**4 + y*o + 5*o**3.
5*o*(o - 2)*(o - 1)*(o + 4)
Let n = -44 + 66. Let p be 450/55 + (16/n)/(-4). Factor -240*f**5 - 6*f + 0 - 4*f**2 + 4 + p*f**3 + 238*f**5.
-2*(f - 1)**3*(f + 1)*(f + 2)
Let l(c) = c**3 - 5*c**2 + 2*c + 4. Let a(r) = -3*r**4 - 297*r**3 + 1542*r**2 - 1944*r + 72. Let f(h) = -a(h) + 18*l(h). Determine j so that f(j) = 0.
-110, 0, 2, 3
Let i(b) be the second derivative of -b**4/16 + 77*b**3/8 + 90*b**2 - 1080*b - 1. Factor i(u).
-3*(u - 80)*(u + 3)/4
Let z(s) be the second derivative of 13 + 0*s**2 + 1/3*s**4 + 4/3*s**3 - 1/5*s**5 - s. Determine r, given that z(r) = 0.
-1, 0, 2
Let t(n) be the second derivative of 1/10*n**4 + 0*n**6 + 3/10*n**3 - 3/25*n**5 + 1/70*n**7 + n - 3/5*n**2 + 2. Factor t(p).
3*(p - 1)**3*(p + 1)*(p + 2)/5
Find y, given that -234*y**4 - 78*y**5 + 81*y**5 - 2*y**2 + 2*y**2 + 231*y**4 = 0.
0, 1
Let s(i) be the first derivative of -i**6/120 - 37*i**3/3 + i**2 - 46. Let g(p) be the third derivative of s(p). Factor g(z).
-3*z**2
Let d(g) be the first derivative of g**5/15 + 7*g**4/3 - 235*g**3/9 + 175*g**2/3 - 3710. Let d(j) = 0. What is j?
-35, 0, 2, 5
Let j(v) be the third derivative of -2/105*v**7 + 8*v + 0 + 1/3*v**4 - 3/20*v**6 + 1/168*v**8 - 8*v**2 - 8*v**3 + 11/15*v**5. Solve j(t) = 0.
-3, -1, 2
Suppose 3*o + 20 = 2*j, -19*j = -24*j - 4*o + 4. Let r be (16/3 + -5)*j. Factor -r - k**2 + 1/6*k**3 + 2*k.
(k - 2)**3/6
Let t be (462/(-105) - -4) + (-4)/(-10). Let h(d) be the second derivative of t - 3/2*d**2 - 12*d + 3/4*d**4 - d**3. Suppose h(a) = 0. What is a?
-1/3, 1
Let c(m) = -m**3 + 796*m**2 - 804*m - 3. Let l(b) = 3*b**3 - 1596*b**2 + 1608*b + 5. Let x(g) = 5*c(g) + 3*l(g). Factor x(p).
4*p*(p - 201)*(p - 1)
Let l(f) be the first derivative of f**3/3 + 882*f**2 + 777924*f + 5980. Factor l(q).
(q + 882)**2
Let -1/9*w**2 + 2/3 - 1/9*w = 0. What is w?
-3, 2
Let z = 28 + -4. Let j be (z/14)/(2/14). Let -17 - 8*m - 4*m**3 + j*m**2 + 17 = 0. What is m?
0, 1, 2
Let l(h) be the first derivative of -h**7/315 + h**5/18 - 4*h**3/9 - 19*h**2/2 + 2*h + 110. Let v(o) be the second derivative of l(o). Let v(j) = 0. What is j?
-2, -1, 1, 2
Let b(z) be the first derivative of z**5/80 + z**4/16 + z**3/12 + 80*z - 69. Let k(f) be the first derivative of b(f). Solve k(a) = 0.
-2, -1, 0
Find h, given that -171*h + 21*h**2 - 9*h**5 + 90*h**4 + 9*h**2 + 180*h**3 - 54 + 112*h**4 - 178*h**4 = 0.
-3, -1, -1/3, 1, 6
Let a(f) be the second derivative of -f**5/40 - 91*f**4/6 - 181*f**3/3 - 554*f. Factor a(t).
-t*(t + 2)*(t + 362)/2
Let -94*a**3 - 410*a + 2*a**4 + 402*a + 974*a**2 + 176*a**2 - 375*a - 675*a = 0. Calculate a.
0, 1, 23
Let o be 25*((1932/378)/23)/(25/9). Let 1 - 1/3*s**o - 2/3*s = 0. What is s?
-3, 1
Suppose -76 = -12*d + 7*d - 3*u, 4*d - 5*u = 46. Let a be (1 - 6/(-24)*d) + -4. Find s, given that a*s**4 - 1/2 - s + s**3 + 0*s**2 = 0.
-1, 1
Suppose -2766*g - 676879 + 678261 + g**2 + 3*g**2 = 0. What is g?
1/2, 691
Let r(m) be the second derivative of -m**5/90 - 35*m**4/27 - 1292*m**3/27 - 2312*m**2/9 - 245*m. Factor r(z).
-2*(z + 2)*(z + 34)**2/9
Let p = 22595 + -22593. Let l(t) be the second derivative of 0 + 2*t - 1/3*t**4 - 2/45*t**6 + 0*t**p + 1/5*t**5 + 2/9*t**3. Solve l(s) = 0.
0, 1
Let x = -100747 - -503744/5. Factor 6/5 +